From ad7760e341951f5f06c0b51d6a2a50ec52d3ad05 Mon Sep 17 00:00:00 2001 From: LeilaRostamian Date: Sun, 5 Jul 2026 21:23:59 +0330 Subject: [PATCH 1/6] Add my assignment notebook --- ...t_01_Python___Nexus___LeiliRostamian.ipynb | 549 ++++++++++++++++++ 1 file changed, 549 insertions(+) create mode 100644 Assignment_01_Python___Nexus___LeiliRostamian.ipynb diff --git a/Assignment_01_Python___Nexus___LeiliRostamian.ipynb b/Assignment_01_Python___Nexus___LeiliRostamian.ipynb new file mode 100644 index 0000000..3ffdc3c --- /dev/null +++ b/Assignment_01_Python___Nexus___LeiliRostamian.ipynb @@ -0,0 +1,549 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "\n", + "

📢⚠️📂

\n", + "\n", + "

Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

\n", + "\n", + "

🚨📝🧠

\n", + "\n", + "------------------------------------------------\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ], + "metadata": { + "id": "ZS5lje_18xC2" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ], + "metadata": { + "id": "u5vvtK-6840I" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ], + "metadata": { + "id": "UyNHtkGm9OgH" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "lmaiboJe8E15", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "da219ea7-5bbe-4264-e206-027ee8155bb8" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Celsius temperature: 10\n", + "👉 10.0 °C = 50.0 °F\n" + ] + } + ], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "# TODO: your code here\n", + "\n", + "Celsius_temperature = input(\"Celsius temperature: \")\n", + "Celsius_temperature = float(Celsius_temperature)\n", + "Fahrenheit_temperature = Celsius_temperature * 9/5 + 32\n", + "print(f\"👉 {Celsius_temperature} °C = {Fahrenheit_temperature} °F\")\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Tiny Calculator\n" + ], + "metadata": { + "id": "BtsB8QKM9Xs_" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "# TODO: your code here\n", + "\n", + "int_num = int(input(\"enter the first number: \"))\n", + "float_num = float(input(\"enter the second number: \"))\n", + "summation = int_num + float_num\n", + "difference = int_num - float_num\n", + "product = int_num * float_num\n", + "true_division = int_num / float_num\n", + "floor_division = int_num // float_num\n", + "\n", + "\n", + "print(f\"\"\"👉 {int_num} and {float_num} are integer and float numbers respectively\\n\n", + " their sum is {summation},\\n\n", + " difference is {difference},\\n\n", + " product is {product},\\n\n", + " true division is {true_division:.2f},\\n\n", + " floor division is {floor_division}\"\"\")\n", + "# one of the numbers is a float, so the sum will also be a float.\n", + "# // calculates exactly the integer part of the division result (i.e., rounds the number towards negative infinity).\n" + ], + "metadata": { + "id": "DSR8aS-F9Z10", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "3d054a1f-1f80-4359-9287-99b31a380100" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "enter the first number: 13\n", + "enter the second number: 6\n", + "👉 13 and 6.0 are integer and float numbers respectively \n", + "\n", + " their sum is 19.0, \n", + "\n", + " difference is 7.0, \n", + "\n", + " product is 78.0, \n", + " \n", + " true division is 2.17,\n", + " \n", + " floor division is 2.0\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "![Screenshot 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)" + ], + "metadata": { + "id": "RFLgrl37wuqq" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ], + "metadata": { + "id": "8JjHX4wy9dPz" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ], + "metadata": { + "id": "wRyJyhbt9uUr" + } + }, + { + "cell_type": "code", + "source": [ + "# Start with an empty shopping list (list).\n", + "\n", + "# TODO: your code here\n", + "# an empty shopping list (list).\n", + "shopping_list = []\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "for i in range(4):\n", + " item = input(f'enter the {i+1}th item: ')\n", + " shopping_list.append(item)\n", + "\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "shopping_items = tuple(shopping_list)\n", + "\n", + "# 3. Print the third item using tuple indexing.\n", + "print(f\"👉 The third item is {shopping_items[2]}\\n from the shopping list {shopping_list}\\n\")\n", + "\n" + ], + "metadata": { + "id": "1J4jcLct9yVO", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "72f6103c-7a68-46a9-caef-be58c007a691" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "enter the 1th item: egg\n", + "enter the 2th item: fruit\n", + "enter the 3th item: vegetable\n", + "enter the 4th item: bread\n", + "👉 The third item is vegetable \n", + " from the shopping list ['egg', 'fruit', 'vegetable', 'bread']\n", + "\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Word Stats" + ], + "metadata": { + "id": "byKd8SFK9w2y" + } + }, + { + "cell_type": "code", + "source": [ + "sample = \"to be or not to be that is the question\"\n", + "\n", + "# TODO: your code here\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "sample = sample.split()\n", + "unique_words = set(sample)\n", + "\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "word_counts = {}\n", + "for word in sample:\n", + " if word in word_counts:\n", + " word_counts[word] += 1\n", + " else:\n", + " word_counts[word] = 1\n", + "\n", + "# We can also code in this way\n", + "# word_counts = {word: sample.count(word) for word in set(sample)}\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "\n", + "print(f'''{sample} is a list of words.\\n\n", + "A set contains every distinct word: {unique_words}.\\n\n", + "A dictionary maps each word to the number of times appearing: {word_counts}\\n''')\n", + "\n", + "# We can also code in this way\n", + "# word_counts = {word: sample.count(word) for word in sample}\n", + "\n" + ], + "metadata": { + "id": "4rLrxkPj90p3", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "4e29ebdf-2913-4f5e-eca4-95aac1ea4c01" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "['to', 'be', 'or', 'not', 'to', 'be', 'that', 'is', 'the', 'question'] is a list of words.\n", + "\n", + "A set contains every distinct word: {'is', 'not', 'that', 'the', 'question', 'to', 'be', 'or'}.\n", + "\n", + "A dictionary maps each word to the number of times appearing: {'to': 2, 'be': 2, 'or': 1, 'not': 1, 'that': 1, 'is': 1, 'the': 1, 'question': 1}\n", + "\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ], + "metadata": { + "id": "gbGMbtLf94M4" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Prime Tester" + ], + "metadata": { + "id": "QOsToPh2-AnZ" + } + }, + { + "cell_type": "code", + "source": [ + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " # TODO: replace pass with your implementation\n", + " if n <= 1:\n", + " return False\n", + " else:\n", + " for i in range(2, int(n**0.5) + 1):\n", + " if n % i == 0:\n", + " return False\n", + "\n", + " return True\n", + "\n", + "# Quick self-check\n", + "print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n", + "\n", + "\n" + ], + "metadata": { + "id": "_pCU2mIH-DAi", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "149653ee-76e0-4a10-d6b6-68a1f3bea078" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[2, 3, 5, 7]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Repeater Greeter" + ], + "metadata": { + "id": "TBGXIzVV-E5u" + } + }, + { + "cell_type": "code", + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + " name_with_space = name.capitalize() + ' '\n", + " print(name_with_space * times)\n", + " # TODO: your code here\n", + "\n", + "\n", + "greet(\"alice\") # Alice\n", + "greet(\"bob\", times=3) # Bob Bob Bob\n" + ], + "metadata": { + "id": "ycvsNyqh-GRM", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "9c1f467e-c351-4fa4-b640-79d648d135e9" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Alice \n", + "Bob Bob Bob \n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ], + "metadata": { + "id": "y7K-GaBC-ImE" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Simple Counter" + ], + "metadata": { + "id": "NgKjsy8A-N3l" + } + }, + { + "cell_type": "code", + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " # TODO:\n", + " # 1. In __init__, store an internal count variable starting at 0.\n", + " def __init__(self):\n", + " self.count = 0\n", + " # \"create the class, then a folder called count in its memory and put the number 0 in it.\"\n", + "\n", + " # 2. Method increment(step: int = 1) adds `step` to the count.\n", + " def increment(self, step: int = 1):\n", + " self.count += 1\n", + "\n", + " # 3. Method value() returns the current count.\n", + " def value(self):\n", + " return self.count\n", + "\n", + "\n", + "c = Counter()\n", + "for _ in range(5):\n", + " c.increment()\n", + "print(c.value()) # Expected: 5\n" + ], + "metadata": { + "id": "dPFvr_fe-OPR", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "92ec8ec2-e624-4600-ed60-d58675616320" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "5\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — 2-D Point with Distance" + ], + "metadata": { + "id": "U99aupan-Q8u" + } + }, + { + "cell_type": "code", + "source": [ + "import math\n", + "\n", + "class Point:\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + " # TODO:\n", + " # 1. Store x and y as attributes.\n", + "\n", + " def __init__(self, x: float, y: float):\n", + " self.x = x\n", + " self.y = y\n", + "\n", + " # 2. Implement distance_to(other) using the Euclidean formula.\n", + "\n", + " def distance_to(self, other : 'Point') -> float:\n", + " dx = self.x - other.x\n", + " dy = self.y - other.y\n", + " # return (dx**2 + dy**2)**0.5\n", + " return math.sqrt(dx**2 + dy**2)\n", + "\n", + "\n", + "# Smoke test\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "assert round(p.distance_to(q), 1) == 5.0\n", + "\n" + ], + "metadata": { + "id": "OVh3GEzH-T0w", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "2b0767fb-44aa-44ee-e21e-c9d309d788ee" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "True" + ] + }, + "metadata": {}, + "execution_count": 22 + } + ] + } + ] +} \ No newline at end of file From ceb9b7912e4f708d8ef256059cdc482018f7a7d7 Mon Sep 17 00:00:00 2001 From: LeilaRostamian Date: Mon, 6 Jul 2026 21:17:18 +0330 Subject: [PATCH 2/6] Add files via upload --- ..._Nexus__A0_1_Project__LeilaRostamian.ipynb | 549 ++++++++++++++++++ 1 file changed, 549 insertions(+) create mode 100644 a0.1/AI-DS_Nexus__A0_1_Project__LeilaRostamian.ipynb diff --git a/a0.1/AI-DS_Nexus__A0_1_Project__LeilaRostamian.ipynb b/a0.1/AI-DS_Nexus__A0_1_Project__LeilaRostamian.ipynb new file mode 100644 index 0000000..43e6a35 --- /dev/null +++ b/a0.1/AI-DS_Nexus__A0_1_Project__LeilaRostamian.ipynb @@ -0,0 +1,549 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "\n", + "

📢⚠️📂

\n", + "\n", + "

Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

\n", + "\n", + "

🚨📝🧠

\n", + "\n", + "------------------------------------------------\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ], + "metadata": { + "id": "ZS5lje_18xC2" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ], + "metadata": { + "id": "u5vvtK-6840I" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ], + "metadata": { + "id": "UyNHtkGm9OgH" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "lmaiboJe8E15", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "da219ea7-5bbe-4264-e206-027ee8155bb8" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Celsius temperature: 10\n", + "👉 10.0 °C = 50.0 °F\n" + ] + } + ], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "# TODO: your code here\n", + "\n", + "Celsius_temperature = input(\"Celsius temperature: \")\n", + "Celsius_temperature = float(Celsius_temperature)\n", + "Fahrenheit_temperature = Celsius_temperature * 9/5 + 32\n", + "print(f\"👉 {Celsius_temperature} °C = {Fahrenheit_temperature} °F\")\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Tiny Calculator\n" + ], + "metadata": { + "id": "BtsB8QKM9Xs_" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "# TODO: your code here\n", + "\n", + "int_num = int(input(\"enter the first number: \"))\n", + "float_num = float(input(\"enter the second number: \"))\n", + "summation = int_num + float_num\n", + "difference = int_num - float_num\n", + "product = int_num * float_num\n", + "true_division = int_num / float_num\n", + "floor_division = int_num // float_num\n", + "\n", + "\n", + "print(f\"\"\"👉 {int_num} and {float_num} are integer and float numbers respectively\\n\n", + " their sum is {summation},\\n\n", + " difference is {difference},\\n\n", + " product is {product},\\n\n", + " true division is {true_division:.2f},\\n\n", + " floor division is {floor_division}\"\"\")\n", + "# one of the numbers is a float, so the sum will also be a float.\n", + "# // calculates exactly the integer part of the division result (i.e., rounds the number towards negative infinity).\n" + ], + "metadata": { + "id": "DSR8aS-F9Z10", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "3d054a1f-1f80-4359-9287-99b31a380100" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "enter the first number: 13\n", + "enter the second number: 6\n", + "👉 13 and 6.0 are integer and float numbers respectively \n", + "\n", + " their sum is 19.0, \n", + "\n", + " difference is 7.0, \n", + "\n", + " product is 78.0, \n", + " \n", + " true division is 2.17,\n", + " \n", + " floor division is 2.0\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "![Screenshot (53).png](data:image/png;base64,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)" + ], + "metadata": { + "id": "RFLgrl37wuqq" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ], + "metadata": { + "id": "8JjHX4wy9dPz" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ], + "metadata": { + "id": "wRyJyhbt9uUr" + } + }, + { + "cell_type": "code", + "source": [ + "# Start with an empty shopping list (list).\n", + "\n", + "# TODO: your code here\n", + "# an empty shopping list (list).\n", + "shopping_list = []\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "for i in range(4):\n", + " item = input(f'enter the {i+1}th item: ')\n", + " shopping_list.append(item)\n", + "\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "shopping_items = tuple(shopping_list)\n", + "\n", + "# 3. Print the third item using tuple indexing.\n", + "print(f\"👉 The third item is {shopping_items[2]}\\n from the shopping list {shopping_list}\\n\")\n", + "\n" + ], + "metadata": { + "id": "1J4jcLct9yVO", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "72f6103c-7a68-46a9-caef-be58c007a691" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "enter the 1th item: egg\n", + "enter the 2th item: fruit\n", + "enter the 3th item: vegetable\n", + "enter the 4th item: bread\n", + "👉 The third item is vegetable \n", + " from the shopping list ['egg', 'fruit', 'vegetable', 'bread']\n", + "\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Word Stats" + ], + "metadata": { + "id": "byKd8SFK9w2y" + } + }, + { + "cell_type": "code", + "source": [ + "sample = \"to be or not to be that is the question\"\n", + "\n", + "# TODO: your code here\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "sample = sample.split()\n", + "unique_words = set(sample)\n", + "\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "word_counts = {}\n", + "for word in sample:\n", + " if word in word_counts:\n", + " word_counts[word] += 1\n", + " else:\n", + " word_counts[word] = 1\n", + "\n", + "# We can also code in this way\n", + "# word_counts = {word: sample.count(word) for word in set(sample)}\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "\n", + "print(f'''{sample} is a list of words.\\n\n", + "A set contains every distinct word: {unique_words}.\\n\n", + "A dictionary maps each word to the number of times appearing: {word_counts}\\n''')\n", + "\n", + "# We can also code in this way\n", + "# word_counts = {word: sample.count(word) for word in sample}\n", + "\n" + ], + "metadata": { + "id": "4rLrxkPj90p3", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "4e29ebdf-2913-4f5e-eca4-95aac1ea4c01" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "['to', 'be', 'or', 'not', 'to', 'be', 'that', 'is', 'the', 'question'] is a list of words.\n", + "\n", + "A set contains every distinct word: {'is', 'not', 'that', 'the', 'question', 'to', 'be', 'or'}.\n", + "\n", + "A dictionary maps each word to the number of times appearing: {'to': 2, 'be': 2, 'or': 1, 'not': 1, 'that': 1, 'is': 1, 'the': 1, 'question': 1}\n", + "\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ], + "metadata": { + "id": "gbGMbtLf94M4" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Prime Tester" + ], + "metadata": { + "id": "QOsToPh2-AnZ" + } + }, + { + "cell_type": "code", + "source": [ + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " # TODO: replace pass with your implementation\n", + " if n <= 1:\n", + " return False\n", + " else:\n", + " for i in range(2, int(n**0.5) + 1):\n", + " if n % i == 0:\n", + " return False\n", + "\n", + " return True\n", + "\n", + "# Quick self-check\n", + "print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n", + "\n", + "\n" + ], + "metadata": { + "id": "_pCU2mIH-DAi", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "149653ee-76e0-4a10-d6b6-68a1f3bea078" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[2, 3, 5, 7]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Repeater Greeter" + ], + "metadata": { + "id": "TBGXIzVV-E5u" + } + }, + { + "cell_type": "code", + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + " name_with_space = name.capitalize() + ' '\n", + " print(name_with_space * times)\n", + " # TODO: your code here\n", + "\n", + "\n", + "greet(\"alice\") # Alice\n", + "greet(\"bob\", times=3) # Bob Bob Bob\n" + ], + "metadata": { + "id": "ycvsNyqh-GRM", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "9c1f467e-c351-4fa4-b640-79d648d135e9" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Alice \n", + "Bob Bob Bob \n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ], + "metadata": { + "id": "y7K-GaBC-ImE" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Simple Counter" + ], + "metadata": { + "id": "NgKjsy8A-N3l" + } + }, + { + "cell_type": "code", + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " # TODO:\n", + " # 1. In __init__, store an internal count variable starting at 0.\n", + " def __init__(self):\n", + " self.count = 0\n", + " # \"create the class, then a folder called count in its memory and put the number 0 in it.\"\n", + "\n", + " # 2. Method increment(step: int = 1) adds `step` to the count.\n", + " def increment(self, step: int = 1):\n", + " self.count += 1\n", + "\n", + " # 3. Method value() returns the current count.\n", + " def value(self):\n", + " return self.count\n", + "\n", + "\n", + "c = Counter()\n", + "for _ in range(5):\n", + " c.increment()\n", + "print(c.value()) # Expected: 5\n" + ], + "metadata": { + "id": "dPFvr_fe-OPR", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "92ec8ec2-e624-4600-ed60-d58675616320" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "5\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — 2-D Point with Distance" + ], + "metadata": { + "id": "U99aupan-Q8u" + } + }, + { + "cell_type": "code", + "source": [ + "import math\n", + "\n", + "class Point:\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + " # TODO:\n", + " # 1. Store x and y as attributes.\n", + "\n", + " def __init__(self, x: float, y: float):\n", + " self.x = x\n", + " self.y = y\n", + "\n", + " # 2. Implement distance_to(other) using the Euclidean formula.\n", + "\n", + " def distance_to(self, other : 'Point') -> float:\n", + " dx = self.x - other.x\n", + " dy = self.y - other.y\n", + " # return (dx**2 + dy**2)**0.5\n", + " return math.sqrt(dx**2 + dy**2)\n", + "\n", + "\n", + "# Smoke test\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "assert round(p.distance_to(q), 1) == 5.0\n", + "\n" + ], + "metadata": { + "id": "OVh3GEzH-T0w", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "2b0767fb-44aa-44ee-e21e-c9d309d788ee" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "True" + ] + }, + "metadata": {}, + "execution_count": 22 + } + ] + } + ] +} \ No newline at end of file From 3e2678e883373b6aed8fac739a988772fd9f8c96 Mon Sep 17 00:00:00 2001 From: LeilaRostamian Date: Wed, 8 Jul 2026 00:28:30 +0330 Subject: [PATCH 3/6] Add files via upload Assignment_10_Project_01_01_02_Dataset___Nexus___LeilaRostamian.ipynb --- ..._02_Dataset___Nexus___LeilaRostamian.ipynb | 470 ++++++++++++++++++ 1 file changed, 470 insertions(+) create mode 100644 a10/Assignment_10_Project_01_01_02_Dataset___Nexus___LeilaRostamian.ipynb diff --git a/a10/Assignment_10_Project_01_01_02_Dataset___Nexus___LeilaRostamian.ipynb b/a10/Assignment_10_Project_01_01_02_Dataset___Nexus___LeilaRostamian.ipynb new file mode 100644 index 0000000..9068f76 --- /dev/null +++ b/a10/Assignment_10_Project_01_01_02_Dataset___Nexus___LeilaRostamian.ipynb @@ -0,0 +1,470 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 🍷 Mini-Project: Merge & Explore the Wine Quality Datasets\n", + "\n", + "\n", + "> **Goal: Merge Wine Quality – Red and Wine Quality – White (UCI) into a single dataset, do a careful first-look exploration, and save the merged file to CSV.**\n", + "\n", + "

📢⚠️📂

\n", + "\n", + "

Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

\n", + "\n", + "

🚨📝🧠

" + ], + "metadata": { + "id": "5pY7aLZSZQM9" + } + }, + { + "cell_type": "code", + "source": [ + "# === Requirements ===\n", + "# pip install pandas matplotlib\n", + "\n", + "import pandas as pd\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from pathlib import Path\n" + ], + "metadata": { + "id": "wpNpLMF8aX1s" + }, + "execution_count": 55, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# ---------- 1) Load ----------\n", + "URL_RED = \"https://archive.ics.uci.edu/ml/machine-learning-databases/wine-quality/winequality-red.csv\"\n", + "URL_WHITE = \"https://archive.ics.uci.edu/ml/machine-learning-databases/wine-quality/winequality-white.csv\"\n", + "\n", + "red = pd.read_csv(URL_RED, sep=\";\")\n", + "white = pd.read_csv(URL_WHITE, sep=\";\")\n" + ], + "metadata": { + "id": "ErqnxAGRaY_C" + }, + "execution_count": 56, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# ---------- 2) Sanity checks ----------\n", + "print(\"Red shape:\", red.shape, \"White shape:\", white.shape)\n", + "print(\"Columns equal? ->\", list(red.columns) == list(white.columns))\n", + "print(\"Columns:\", list(red.columns))\n" + ], + "metadata": { + "id": "lVbxevgpabbF", + "outputId": "f4b06622-edd4-4e8c-864d-842530e9d311", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 57, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Red shape: (1599, 12) White shape: (4898, 12)\n", + "Columns equal? -> True\n", + "Columns: ['fixed acidity', 'volatile acidity', 'citric acid', 'residual sugar', 'chlorides', 'free sulfur dioxide', 'total sulfur dioxide', 'density', 'pH', 'sulphates', 'alcohol', 'quality']\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# (Optional) strict schema assertion (search and read about assert in Python)\n", + "assert list(red.columns) == list(white.columns), \"Column mismatch between red and white datasets.\"\n" + ], + "metadata": { + "id": "5vV73isEadfQ" + }, + "execution_count": 58, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# ---------- 3) Tag source & merge ----------\n", + "red[\"type\"] = \"red\"\n", + "white[\"type\"] = \"white\"\n", + "\n", + "df = pd.concat([red, white], ignore_index=True)\n", + "print(\"\\nMerged shape:\", df.shape)\n" + ], + "metadata": { + "id": "uVTeWORRakKq", + "outputId": "73642bcf-abe5-410a-e424-c20df7dfc2ff", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 59, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Merged shape: (6497, 13)\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# ---------- 4) Basic exploration ----------\n", + "print(\"\\nDtypes:\\n\", df.dtypes)\n", + "print(\"\\nMissing values per column:\\n\", df.isnull().sum().sort_values(ascending=False))\n", + "print(\"\\nHead:\\n\", df.head())\n" + ], + "metadata": { + "id": "OsMo1KOhambz", + "outputId": "45194ecd-9c42-48b0-d716-a3264cfc2632", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 60, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Dtypes:\n", + " fixed acidity float64\n", + "volatile acidity float64\n", + "citric acid float64\n", + "residual sugar float64\n", + "chlorides float64\n", + "free sulfur dioxide float64\n", + "total sulfur dioxide float64\n", + "density float64\n", + "pH float64\n", + "sulphates float64\n", + "alcohol float64\n", + "quality int64\n", + "type object\n", + "dtype: object\n", + "\n", + "Missing values per column:\n", + " fixed acidity 0\n", + "volatile acidity 0\n", + "citric acid 0\n", + "residual sugar 0\n", + "chlorides 0\n", + "free sulfur dioxide 0\n", + "total sulfur dioxide 0\n", + "density 0\n", + "pH 0\n", + "sulphates 0\n", + "alcohol 0\n", + "quality 0\n", + "type 0\n", + "dtype: int64\n", + "\n", + "Head:\n", + " fixed acidity volatile acidity citric acid residual sugar chlorides \\\n", + "0 7.4 0.70 0.00 1.9 0.076 \n", + "1 7.8 0.88 0.00 2.6 0.098 \n", + "2 7.8 0.76 0.04 2.3 0.092 \n", + "3 11.2 0.28 0.56 1.9 0.075 \n", + "4 7.4 0.70 0.00 1.9 0.076 \n", + "\n", + " free sulfur dioxide total sulfur dioxide density pH sulphates \\\n", + "0 11.0 34.0 0.9978 3.51 0.56 \n", + "1 25.0 67.0 0.9968 3.20 0.68 \n", + "2 15.0 54.0 0.9970 3.26 0.65 \n", + "3 17.0 60.0 0.9980 3.16 0.58 \n", + "4 11.0 34.0 0.9978 3.51 0.56 \n", + "\n", + " alcohol quality type \n", + "0 9.4 5 red \n", + "1 9.8 5 red \n", + "2 9.8 5 red \n", + "3 9.8 6 red \n", + "4 9.4 5 red \n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Uniqueness & duplicates\n", + "dup_count = df.duplicated().sum()\n", + "print(\"\\nDuplicate rows:\", dup_count)\n", + "\n", + "# Descriptive statistics (numeric)\n", + "num_cols = df.select_dtypes(include=[np.number]).columns\n", + "print(\"\\nNumeric summary:\\n\", df[num_cols].describe().T)\n", + "\n", + "# Target distributions\n", + "print(\"\\nQuality distribution (overall):\\n\", df[\"quality\"].value_counts().sort_index())\n", + "print(\"\\nQuality distribution by type:\\n\", df.groupby(\"type\")[\"quality\"].value_counts().sort_index())\n" + ], + "metadata": { + "id": "ou0kWts-aopS", + "outputId": "7dc0498b-e9d9-4f25-f719-63b5f59995d4", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 61, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Duplicate rows: 1177\n", + "\n", + "Numeric summary:\n", + " count mean std min 25% \\\n", + "fixed acidity 6497.0 7.215307 1.296434 3.80000 6.40000 \n", + "volatile acidity 6497.0 0.339666 0.164636 0.08000 0.23000 \n", + "citric acid 6497.0 0.318633 0.145318 0.00000 0.25000 \n", + "residual sugar 6497.0 5.443235 4.757804 0.60000 1.80000 \n", + "chlorides 6497.0 0.056034 0.035034 0.00900 0.03800 \n", + "free sulfur dioxide 6497.0 30.525319 17.749400 1.00000 17.00000 \n", + "total sulfur dioxide 6497.0 115.744574 56.521855 6.00000 77.00000 \n", + "density 6497.0 0.994697 0.002999 0.98711 0.99234 \n", + "pH 6497.0 3.218501 0.160787 2.72000 3.11000 \n", + "sulphates 6497.0 0.531268 0.148806 0.22000 0.43000 \n", + "alcohol 6497.0 10.491801 1.192712 8.00000 9.50000 \n", + "quality 6497.0 5.818378 0.873255 3.00000 5.00000 \n", + "\n", + " 50% 75% max \n", + "fixed acidity 7.00000 7.70000 15.90000 \n", + "volatile acidity 0.29000 0.40000 1.58000 \n", + "citric acid 0.31000 0.39000 1.66000 \n", + "residual sugar 3.00000 8.10000 65.80000 \n", + "chlorides 0.04700 0.06500 0.61100 \n", + "free sulfur dioxide 29.00000 41.00000 289.00000 \n", + "total sulfur dioxide 118.00000 156.00000 440.00000 \n", + "density 0.99489 0.99699 1.03898 \n", + "pH 3.21000 3.32000 4.01000 \n", + "sulphates 0.51000 0.60000 2.00000 \n", + "alcohol 10.30000 11.30000 14.90000 \n", + "quality 6.00000 6.00000 9.00000 \n", + "\n", + "Quality distribution (overall):\n", + " quality\n", + "3 30\n", + "4 216\n", + "5 2138\n", + "6 2836\n", + "7 1079\n", + "8 193\n", + "9 5\n", + "Name: count, dtype: int64\n", + "\n", + "Quality distribution by type:\n", + " type quality\n", + "red 3 10\n", + " 4 53\n", + " 5 681\n", + " 6 638\n", + " 7 199\n", + " 8 18\n", + "white 3 20\n", + " 4 163\n", + " 5 1457\n", + " 6 2198\n", + " 7 880\n", + " 8 175\n", + " 9 5\n", + "Name: count, dtype: int64\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# ---------- 5) A few simple visuals (optional for report) ----------\n", + "# Histograms of numeric features (quick feel for ranges & skew)\n", + "top_vars = num_cols\n", + "n = min(4, len(top_vars))\n", + "\n", + "fig, axes = plt.subplots(1, 4, figsize=(16, 3), sharey=True)\n", + "\n", + "for i, ax in enumerate(axes):\n", + " if i < n:\n", + " col = top_vars[i]\n", + " ax.hist(df[col].dropna(), bins=30)\n", + " ax.set_title(f\"Histogram: {col}\")\n", + " ax.set_xlabel(col)\n", + " if i == 0:\n", + " ax.set_ylabel(\"Count\")\n", + " else:\n", + " ax.set_ylabel(\"\")\n", + " else:\n", + " ax.axis(\"off\") # hide unused panels if top_vars has < 4\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ], + "metadata": { + "id": "2Pa_iCVzaqzp", + "outputId": "976c3e87-0fe4-4d63-ed3b-5ab1250d638c", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 293 + } + }, + "execution_count": 62, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Boxplot of quality by type (class distribution spread)\n", + "plt.figure()\n", + "df.boxplot(column=\"quality\", by=\"type\")\n", + "plt.suptitle(\"\")\n", + "plt.title(\"Quality by Wine Type\")\n", + "plt.xlabel(\"Type\")\n", + "plt.ylabel(\"Quality\")\n", + "plt.tight_layout()\n", + "plt.show()\n" + ], + "metadata": { + "id": "w9z9f2OMatLD", + "outputId": "564851d3-0c6c-427e-c1aa-733444a05120", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 490 + } + }, + "execution_count": 63, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {} + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Correlation heatmap (numeric only)\n", + "corr = df[num_cols].corr()\n", + "plt.figure(figsize=(7, 6))\n", + "plt.imshow(corr, interpolation=\"nearest\")\n", + "plt.title(\"Correlation Heatmap\")\n", + "plt.colorbar()\n", + "plt.xticks(range(len(num_cols)), num_cols, rotation=90)\n", + "plt.yticks(range(len(num_cols)), num_cols)\n", + "plt.tight_layout()\n", + "plt.show()\n" + ], + "metadata": { + "id": "m9OZ2n2nawIP", + "outputId": "d275fb35-0d14-4d8b-edfe-726285df6ee1", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 623 + } + }, + "execution_count": 64, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": { + "id": "NHQPRTdLZI9R", + "outputId": "b563bb86-50d6-44ad-e32a-bd019e58ce4d", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Saved merged file to: /content/outputs/wine_quality_merged.csv\n", + "Reloaded shape: (6497, 13)\n" + ] + } + ], + "source": [ + "# ---------- 6) Save ----------\n", + "OUT_DIR = Path(\"./outputs\")\n", + "OUT_DIR.mkdir(parents=True, exist_ok=True)\n", + "out_file = OUT_DIR / \"wine_quality_merged.csv\"\n", + "df.to_csv(out_file, index=False)\n", + "print(f\"\\nSaved merged file to: {out_file.resolve()}\")\n", + "\n", + "# Quick verification of saved file\n", + "df_check = pd.read_csv(out_file)\n", + "print(\"Reloaded shape:\", df_check.shape)\n" + ] + } + ] +} \ No newline at end of file From 57ead7a22ff7ade3ecdb7f7dbd278784c955390c Mon Sep 17 00:00:00 2001 From: LeilaRostamian Date: Wed, 8 Jul 2026 01:19:00 +0330 Subject: [PATCH 4/6] Your commit message here --- ..._02_Dataset___Nexus___LeilaRostamian.ipynb | 470 ++++++++++++++++++ 1 file changed, 470 insertions(+) create mode 100644 a10/Assignment_10_Project_01_01_02_Dataset___Nexus___LeilaRostamian.ipynb diff --git a/a10/Assignment_10_Project_01_01_02_Dataset___Nexus___LeilaRostamian.ipynb b/a10/Assignment_10_Project_01_01_02_Dataset___Nexus___LeilaRostamian.ipynb new file mode 100644 index 0000000..9068f76 --- /dev/null +++ b/a10/Assignment_10_Project_01_01_02_Dataset___Nexus___LeilaRostamian.ipynb @@ -0,0 +1,470 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 🍷 Mini-Project: Merge & Explore the Wine Quality Datasets\n", + "\n", + "\n", + "> **Goal: Merge Wine Quality – Red and Wine Quality – White (UCI) into a single dataset, do a careful first-look exploration, and save the merged file to CSV.**\n", + "\n", + "

📢⚠️📂

\n", + "\n", + "

Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

\n", + "\n", + "

🚨📝🧠

" + ], + "metadata": { + "id": "5pY7aLZSZQM9" + } + }, + { + "cell_type": "code", + "source": [ + "# === Requirements ===\n", + "# pip install pandas matplotlib\n", + "\n", + "import pandas as pd\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from pathlib import Path\n" + ], + "metadata": { + "id": "wpNpLMF8aX1s" + }, + "execution_count": 55, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# ---------- 1) Load ----------\n", + "URL_RED = \"https://archive.ics.uci.edu/ml/machine-learning-databases/wine-quality/winequality-red.csv\"\n", + "URL_WHITE = \"https://archive.ics.uci.edu/ml/machine-learning-databases/wine-quality/winequality-white.csv\"\n", + "\n", + "red = pd.read_csv(URL_RED, sep=\";\")\n", + "white = pd.read_csv(URL_WHITE, sep=\";\")\n" + ], + "metadata": { + "id": "ErqnxAGRaY_C" + }, + "execution_count": 56, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# ---------- 2) Sanity checks ----------\n", + "print(\"Red shape:\", red.shape, \"White shape:\", white.shape)\n", + "print(\"Columns equal? ->\", list(red.columns) == list(white.columns))\n", + "print(\"Columns:\", list(red.columns))\n" + ], + "metadata": { + "id": "lVbxevgpabbF", + "outputId": "f4b06622-edd4-4e8c-864d-842530e9d311", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 57, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Red shape: (1599, 12) White shape: (4898, 12)\n", + "Columns equal? -> True\n", + "Columns: ['fixed acidity', 'volatile acidity', 'citric acid', 'residual sugar', 'chlorides', 'free sulfur dioxide', 'total sulfur dioxide', 'density', 'pH', 'sulphates', 'alcohol', 'quality']\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# (Optional) strict schema assertion (search and read about assert in Python)\n", + "assert list(red.columns) == list(white.columns), \"Column mismatch between red and white datasets.\"\n" + ], + "metadata": { + "id": "5vV73isEadfQ" + }, + "execution_count": 58, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# ---------- 3) Tag source & merge ----------\n", + "red[\"type\"] = \"red\"\n", + "white[\"type\"] = \"white\"\n", + "\n", + "df = pd.concat([red, white], ignore_index=True)\n", + "print(\"\\nMerged shape:\", df.shape)\n" + ], + "metadata": { + "id": "uVTeWORRakKq", + "outputId": "73642bcf-abe5-410a-e424-c20df7dfc2ff", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 59, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Merged shape: (6497, 13)\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# ---------- 4) Basic exploration ----------\n", + "print(\"\\nDtypes:\\n\", df.dtypes)\n", + "print(\"\\nMissing values per column:\\n\", df.isnull().sum().sort_values(ascending=False))\n", + "print(\"\\nHead:\\n\", df.head())\n" + ], + "metadata": { + "id": "OsMo1KOhambz", + "outputId": "45194ecd-9c42-48b0-d716-a3264cfc2632", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 60, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Dtypes:\n", + " fixed acidity float64\n", + "volatile acidity float64\n", + "citric acid float64\n", + "residual sugar float64\n", + "chlorides float64\n", + "free sulfur dioxide float64\n", + "total sulfur dioxide float64\n", + "density float64\n", + "pH float64\n", + "sulphates float64\n", + "alcohol float64\n", + "quality int64\n", + "type object\n", + "dtype: object\n", + "\n", + "Missing values per column:\n", + " fixed acidity 0\n", + "volatile acidity 0\n", + "citric acid 0\n", + "residual sugar 0\n", + "chlorides 0\n", + "free sulfur dioxide 0\n", + "total sulfur dioxide 0\n", + "density 0\n", + "pH 0\n", + "sulphates 0\n", + "alcohol 0\n", + "quality 0\n", + "type 0\n", + "dtype: int64\n", + "\n", + "Head:\n", + " fixed acidity volatile acidity citric acid residual sugar chlorides \\\n", + "0 7.4 0.70 0.00 1.9 0.076 \n", + "1 7.8 0.88 0.00 2.6 0.098 \n", + "2 7.8 0.76 0.04 2.3 0.092 \n", + "3 11.2 0.28 0.56 1.9 0.075 \n", + "4 7.4 0.70 0.00 1.9 0.076 \n", + "\n", + " free sulfur dioxide total sulfur dioxide density pH sulphates \\\n", + "0 11.0 34.0 0.9978 3.51 0.56 \n", + "1 25.0 67.0 0.9968 3.20 0.68 \n", + "2 15.0 54.0 0.9970 3.26 0.65 \n", + "3 17.0 60.0 0.9980 3.16 0.58 \n", + "4 11.0 34.0 0.9978 3.51 0.56 \n", + "\n", + " alcohol quality type \n", + "0 9.4 5 red \n", + "1 9.8 5 red \n", + "2 9.8 5 red \n", + "3 9.8 6 red \n", + "4 9.4 5 red \n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Uniqueness & duplicates\n", + "dup_count = df.duplicated().sum()\n", + "print(\"\\nDuplicate rows:\", dup_count)\n", + "\n", + "# Descriptive statistics (numeric)\n", + "num_cols = df.select_dtypes(include=[np.number]).columns\n", + "print(\"\\nNumeric summary:\\n\", df[num_cols].describe().T)\n", + "\n", + "# Target distributions\n", + "print(\"\\nQuality distribution (overall):\\n\", df[\"quality\"].value_counts().sort_index())\n", + "print(\"\\nQuality distribution by type:\\n\", df.groupby(\"type\")[\"quality\"].value_counts().sort_index())\n" + ], + "metadata": { + "id": "ou0kWts-aopS", + "outputId": "7dc0498b-e9d9-4f25-f719-63b5f59995d4", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 61, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Duplicate rows: 1177\n", + "\n", + "Numeric summary:\n", + " count mean std min 25% \\\n", + "fixed acidity 6497.0 7.215307 1.296434 3.80000 6.40000 \n", + "volatile acidity 6497.0 0.339666 0.164636 0.08000 0.23000 \n", + "citric acid 6497.0 0.318633 0.145318 0.00000 0.25000 \n", + "residual sugar 6497.0 5.443235 4.757804 0.60000 1.80000 \n", + "chlorides 6497.0 0.056034 0.035034 0.00900 0.03800 \n", + "free sulfur dioxide 6497.0 30.525319 17.749400 1.00000 17.00000 \n", + "total sulfur dioxide 6497.0 115.744574 56.521855 6.00000 77.00000 \n", + "density 6497.0 0.994697 0.002999 0.98711 0.99234 \n", + "pH 6497.0 3.218501 0.160787 2.72000 3.11000 \n", + "sulphates 6497.0 0.531268 0.148806 0.22000 0.43000 \n", + "alcohol 6497.0 10.491801 1.192712 8.00000 9.50000 \n", + "quality 6497.0 5.818378 0.873255 3.00000 5.00000 \n", + "\n", + " 50% 75% max \n", + "fixed acidity 7.00000 7.70000 15.90000 \n", + "volatile acidity 0.29000 0.40000 1.58000 \n", + "citric acid 0.31000 0.39000 1.66000 \n", + "residual sugar 3.00000 8.10000 65.80000 \n", + "chlorides 0.04700 0.06500 0.61100 \n", + "free sulfur dioxide 29.00000 41.00000 289.00000 \n", + "total sulfur dioxide 118.00000 156.00000 440.00000 \n", + "density 0.99489 0.99699 1.03898 \n", + "pH 3.21000 3.32000 4.01000 \n", + "sulphates 0.51000 0.60000 2.00000 \n", + "alcohol 10.30000 11.30000 14.90000 \n", + "quality 6.00000 6.00000 9.00000 \n", + "\n", + "Quality distribution (overall):\n", + " quality\n", + "3 30\n", + "4 216\n", + "5 2138\n", + "6 2836\n", + "7 1079\n", + "8 193\n", + "9 5\n", + "Name: count, dtype: int64\n", + "\n", + "Quality distribution by type:\n", + " type quality\n", + "red 3 10\n", + " 4 53\n", + " 5 681\n", + " 6 638\n", + " 7 199\n", + " 8 18\n", + "white 3 20\n", + " 4 163\n", + " 5 1457\n", + " 6 2198\n", + " 7 880\n", + " 8 175\n", + " 9 5\n", + "Name: count, dtype: int64\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# ---------- 5) A few simple visuals (optional for report) ----------\n", + "# Histograms of numeric features (quick feel for ranges & skew)\n", + "top_vars = num_cols\n", + "n = min(4, len(top_vars))\n", + "\n", + "fig, axes = plt.subplots(1, 4, figsize=(16, 3), sharey=True)\n", + "\n", + "for i, ax in enumerate(axes):\n", + " if i < n:\n", + " col = top_vars[i]\n", + " ax.hist(df[col].dropna(), bins=30)\n", + " ax.set_title(f\"Histogram: {col}\")\n", + " ax.set_xlabel(col)\n", + " if i == 0:\n", + " ax.set_ylabel(\"Count\")\n", + " else:\n", + " ax.set_ylabel(\"\")\n", + " else:\n", + " ax.axis(\"off\") # hide unused panels if top_vars has < 4\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ], + "metadata": { + "id": "2Pa_iCVzaqzp", + "outputId": "976c3e87-0fe4-4d63-ed3b-5ab1250d638c", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 293 + } + }, + "execution_count": 62, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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p2LGjMcaYixcvGldXV7Nw4ULL/DNnzhgPDw+r/URp1U9vb28zd+7cdGPP6veIZB06dDB9+vRJc15a26Rdu3YZSSYuLs4YY0zXrl1N+/btrR7Xo0ePNPfz3K5mzZrmvffes9wPDg42nTp1yvAxQEY4UgOwoU8//VR79uzRL7/8osjISDk4OEiSdu/erUuXLqlEiRLy9PS03OLi4nTkyBFJ0sGDB9WoUSOr5YWEhGT6nDNnzlT9+vXl5+cnT09PzZkzx9ItP336tE6cOKFWrVplKf6DBw+qdu3acnd3z1YMaXnmmWf01Vdf6dq1a7px44bmz59vdWoXALCVHj166JtvvtH169clSfPmzVO3bt3k6Pjfx6iDBw/qwQcftHrMgw8+qIMHD6a7zK+//loPPvigAgMD5enpqddffz3VL5eya/fu3dqwYYPVdqNatWqSZNl2pJSYmKjx48erVq1a8vX1laenp1avXm2J5eDBg7p+/Xq2tgs52TalpX///pZD4U+dOqWVK1eyXQCQ72W3bmakfv36Gc6PjY1VvXr1snXtvsy2P7Gxsdmq+WXKlFFQUJBlWk5rPgDYWsqam9ln6zp16qhVq1aqVauWnnzySX300Uc6d+5cmss+cuSIbty4YfU52dfXV1WrVs12nLn9HvHcc89pwYIFqlu3roYPH67Nmzdn6/kPHTqU6gi+lPcvXbqkV155RdWrV5ePj488PT118ODBVHE2aNAgW88N3I4LhQM2tHv3bl2+fFmOjo46efKkSpUqJem/DUCpUqUUHR2d6jG3n6cwuxYsWKBXXnlF77zzjkJCQlSsWDG9/fbblvPu2vLCrR06dJCbm5uWLl0qV1dX3bx5U0888YTN4gGAZB06dJAxRsuXL9f999+vn376KVuHeKe0ZcsW9ejRQ2PHjlVoaKi8vb21YMGCNM+rmx2XLl1Shw4dNGnSpFTzkrcvKb399tuaMWOGpk+frlq1aqlo0aIaOnSobty4Icm224VevXppxIgR2rJlizZv3qzy5curSZMmNosHALIiL+tm0aJF8/S5srL9sWXdBwBbSllzM/ts7eTkpKioKG3evFlr1qzRe++9p9dee03btm1T+fLlcxSDg4NDqtNX3X69jLz4HtGuXTsdO3ZMK1asUFRUlFq1aqXw8HBNmTLF8qOt22PIzvU6kr3yyiuKiorSlClTVKlSJXl4eOiJJ56wfMdIltl2DsgIR2oANnL27Fn17t1br732mnr37q0ePXro6tWrkqT77rtP8fHxcnZ2VqVKlaxuyec6rF69eqqLAG7dujXD59y0aZMaN26s559/XvXq1VOlSpWsfr1brFgxlStXTuvWrctSDtWrV9eePXusLlCeWQyurq5KTExMNd3Z2VlhYWGaO3eu5s6dq27duvGlCkC+4O7urs6dO2vevHn66quvVLVqVd13332W+dWrV9emTZusHrNp0ybLNZJS2rx5s4KDg/Xaa6+pQYMGqly5so4dO2Y1Jr1amZH77rtP+/fvV7ly5VJtO9L7wrBp0yZ17NhRTz/9tOrUqaMKFSrot99+s8yvXLmyPDw8srVduP16HFLOtwslSpRQp06dNHfuXEVGRnKNJQB2Ibt109XVVZKyXfMlqXbt2oqNjbVccy8zWdn+1K5dO1s1/88//7S6/lFmNR8A7EVWPls7ODjowQcf1NixY7Vr1y65urpq6dKlqZZVsWJFubi4WO3DOXfunNXnbkny8/OzqqmHDx/WlStXLPezUsezws/PT2FhYfryyy81ffp0zZkzxzJdklUMsbGxVo+tWrVqqmvHpry/adMm9e7dW48//rhq1aqlwMBAqwuNA3mBpgZgIwMHDlSZMmX0+uuva+rUqUpMTLRcZLt169YKCQlRp06dtGbNGh09elSbN2/Wa6+9pp07d0qShgwZok8//VRz587Vb7/9pjFjxmj//v0ZPmflypW1c+dOrV69Wr/99ptGjRqVauMTERGhd955R++++64OHz6sX375Re+9916ay/vf//4nBwcHPfPMMzpw4IBWrFihKVOmZBhDuXLldOnSJa1bt07//vuv1Qa6f//+Wr9+vVatWsUpRgDkKz169NDy5cv16aefWi4QnmzYsGGKjIzUrFmzdPjwYU2dOlVLliyx1PSUKleurOPHj2vBggU6cuSI3n333VRffsqVK6e4uDjFxsbq33//tZz6KiPh4eE6e/asunfvrh07dujIkSNavXq1+vTpk+7OssqVK1t+YXbw4EE9++yzOnXqlGW+u7u7Xn31VQ0fPlyff/65jhw5oq1bt+qTTz5Jc3kDBw7U4cOHNWzYMB06dEjz589XZGRkhnFnlGv//v312Wef6eDBgwoLC8t0HQCArWW3bgYHB8vBwUHLli3TP//8o0uXLmX5ubp3767AwEB16tRJmzZt0h9//KFvvvlGW7ZsSXN8VrY/Y8aM0VdffaUxY8bo4MGD2rt3b5q/Upb++85SpUoVhYWFaffu3frpp5/02muvZTl+AMjPMvtsvW3bNr311lvauXOnjh8/riVLluiff/5R9erVUy3L09NT/fr107Bhw7R+/Xrt27dPvXv3thwZkaxly5Z6//33tWvXLu3cuVMDBw6Ui4uLZX5W6nhmRo8ere+++06///679u/fr2XLlllirlSpksqUKaOIiAgdPnxYy5cvT3UUyODBg7VixQpNnTpVhw8f1ocffqiVK1daTqeeHOeSJUsUGxur3bt363//+5+SkpKyFSeQKRtf0wMokDK7UPhnn31mihYtan777TfL/G3bthkXFxezYsUKY8x/FxkcPHiwCQoKMi4uLqZMmTKmR48e5vjx45bHvPnmm6ZkyZLG09PThIWFmeHDh2d4Qahr166Z3r17G29vb+Pj42Oee+45M2LEiFSPmT17tqlatapxcXExpUqVMoMHD7bMU4oLV23ZssXUqVPHuLq6mrp165pvvvkm04sfDhw40JQoUcJIMmPGjLF67iZNmpiaNWummwMA2EJiYqIpVaqUkWSOHDmSav4HH3xgKlSoYFxcXEyVKlXM559/bjU/Ze0cNmyYKVGihPH09DRdu3Y106ZNs7q43rVr10yXLl2Mj4+PkWS5OKAyuFC4Mcb89ttv5vHHHzc+Pj7Gw8PDVKtWzQwdOtQkJSWlmdeZM2dMx44djaenp/H39zevv/666dWrl+Wihsm5v/HGGyY4ONi4uLiYsmXLmrfeeivdGH744QdTqVIl4+bmZpo0aWI+/fTTDC8Unl6uxhiTlJRkgoODrS66DgD5XXbr5rhx40xgYKBxcHAwYWFhxhjr7w63S7k9OXr0qOnSpYvx8vIyRYoUMQ0aNDDbtm1LN7bMtj/GGPPNN9+YunXrGldXV1OyZEnTuXNny7zbLxRujDGHDh0yDz30kHF1dTVVqlQxq1at4kLhAOxOejU3o8/WBw4cMKGhocbPz8+4ubmZKlWqWF0I+/YLhRvz38XCn376aVOkSBETEBBgJk+enOp5//77b9OmTRtTtGhRU7lyZbNixYpUFwrPrI5ndqHw8ePHm+rVqxsPDw/j6+trOnbsaP744w/L/J9//tnUqlXLuLu7myZNmphFixZZXSjcGGPmzJlj7rnnHuPh4WE6depk3njjDRMYGGiZHxcXZ1q0aGE8PDxMmTJlzPvvv58q15TbEyC7HIxJcbI2ALARY4wqV66s559/Xi+99JKtwwEA2NilS5d0zz33aO7cuercubOtwwEAAACQwjPPPKNff/1VP/30k61DQSHChcIB5Av//POPFixYoPj4eM6bDgCFXFJSkv7991+988478vHx0WOPPWbrkAAAAABImjJlih5++GEVLVpUK1eu1GeffaYPPvjA1mGhkKGpASBf8Pf3V8mSJTVnzhwVL17c1uEAAGzo+PHjKl++vEqXLq3IyEg5O/ORFQAAAMgPtm/frsmTJ+vixYuqUKGC3n33XfXv39/WYaGQ4fRTAAAAAAAAAADALjjaOgAAAAAAAAAAAICsoKkBAAAAAAAAAADsAk0NAAAAAAAAAABgF2hqAAAAAAAAAAAAu0BTAwAAAAAAAAAA2AWaGgAAAAAAAAAAwC7Q1AAAAAAAAAAAAHaBpgYAAAAAAAAAALALNDUAAAAAAAAAAIBd+P8AmT7LmuQ0fJwAAAAASUVORK5CYII=\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Boxplot of quality by type (class distribution spread)\n", + "plt.figure()\n", + "df.boxplot(column=\"quality\", by=\"type\")\n", + "plt.suptitle(\"\")\n", + "plt.title(\"Quality by Wine Type\")\n", + "plt.xlabel(\"Type\")\n", + "plt.ylabel(\"Quality\")\n", + "plt.tight_layout()\n", + "plt.show()\n" + ], + "metadata": { + "id": "w9z9f2OMatLD", + "outputId": "564851d3-0c6c-427e-c1aa-733444a05120", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 490 + } + }, + "execution_count": 63, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {} + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Correlation heatmap (numeric only)\n", + "corr = df[num_cols].corr()\n", + "plt.figure(figsize=(7, 6))\n", + "plt.imshow(corr, interpolation=\"nearest\")\n", + "plt.title(\"Correlation Heatmap\")\n", + "plt.colorbar()\n", + "plt.xticks(range(len(num_cols)), num_cols, rotation=90)\n", + "plt.yticks(range(len(num_cols)), num_cols)\n", + "plt.tight_layout()\n", + "plt.show()\n" + ], + "metadata": { + "id": "m9OZ2n2nawIP", + "outputId": "d275fb35-0d14-4d8b-edfe-726285df6ee1", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 623 + } + }, + "execution_count": 64, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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WIxXqeqYgLS1NbeMLTbWKSoXJKBERVUqcEkG6QGEug8JcM+vuqvCiHgsLixJ3YSsva2vrAsvy3bp1CxYWFlppFQW4zigRERER/T8vLy8cPHhQ7dyBAwdK3MTkdTAZJSIiItISpaDS6FFW2dnZSEhIQEJCAoAXO8klJCQgNTUVADB79mwMHTpULD927Fhcv34dM2bMwOXLl7Fq1Sps3boVU6ZM0cjnURh205PGqVQq/PPPPzA3N9faloBERERlJQgCHj16BFtbW+jpVUx7nAoCVNDMkJHy1HPq1Cm1DUSmTp0KABg2bBiio6ORnp4uJqYAUK9ePezZswdTpkxBZGQkateujf/+97/w8/N7/QcoAtcZJY3766+/YGdnJ3UYREREhUpLS0Pt2rW1eo+srCxYWloi40odjU5gsm6QiszMTK2NGZUCW0ZJ48zNzQEAN8/Yw0Ih/UgQt73+UoegxsBcs2vOvQ7FUe0MRi+PrFbPpA5Bje12Q6lDEOnnlr1rTltyxz+QOgQ1suhqUocgynhfd763zU/qzvc2AAjS/yoAAChzn+FK1ELx91RFUEEFTX0Ha64m3cJklDQuv2veQqGnsb8GX4eeibHUIajRM5X+M8mnb6Q7n42eqdQRqDMw1KFkVKU7v4BUZrq1hIzMUJf+D/N7uyiCvtQRqOMQMt3CZJSIiIhIS5SCAKWGRkRqqh5dw2SUiIiISEuknsD0JtCdPgUiIiIieuuwZZSIiIhIS1QQoGTLaLHYMkpEREREkmHLKBEREZGWcMxoyZiMEhEREWkJZ9OXjN30RERERCQZtowSERERaYnq/w9N1VUZVfqWUUEQMHr0aFStWhUymQwJCQlo3749Jk+erNX7BgcHw8PDQ6v3kMlk2LFjR5Hvp6SkiM8MALGxsZDJZHj48KFW4yIiIiIqrUrfMhoTE4Po6GjExsbCwcEB1apVw7Zt22CoQ1v9lVd6ejqqVKlS6vLe3t5IT0+HpaUlACA6OhqTJ09mckpERKQlSg0u7aSpenRNpU9Gk5OTYWNjA29vb/Fc1apVJYxIc6ytrctU3sjIqMzXEBEREWlTpe6m9/f3x4QJE5CamgqZTAZ7e3sAUOumv3z5MkxNTbFp0ybxuq1bt8LExASXLl0CADx8+BAjR45E9erVYWFhgY4dO+LcuXNq9/r8889Rs2ZNmJubIyAgAM+ePSs2NqVSiYCAANSrVw8mJiZo0KABIiMjC5TbsGEDGjVqBLlcDhsbGwQGBorvvdpNf+LECTRt2hTGxsZo3rw5zp49q1bXy930sbGxGD58ODIzMyGTySCTyRAcHIyFCxeicePGBeLw8PDAvHnzin0mIiIiUqcUNHtURpU6GY2MjMTChQtRu3ZtpKen4+TJkwXKNGzYEGFhYRg3bhxSU1Px119/YezYsViyZAlcXV0BAP369cPt27fxyy+/4PTp02jWrBk6deqE+/fvA3iRvAYHB2Px4sU4deoUbGxssGrVqmJjU6lUqF27Nn744QdcunQJ8+fPxyeffIKtW7eKZVavXo3x48dj9OjROH/+PHbt2oX69esXWl92djbef/99uLq64vTp0wgODkZQUFCR9/f29kZERAQsLCyQnp6O9PR0BAUFYcSIEUhMTFT7rM6ePYs///wTw4cPL/aZiIiISJ1Kw0dlVKm76S0tLWFubg59ff1iu6fHjRuHvXv34qOPPoKRkRFatGiBCRMmAAD++OMPnDhxArdv34ZcLgcAhIWFYceOHfjxxx8xevRoREREICAgAAEBAQCATz/9FL/++muxraOGhoYICQkRX9erVw/x8fHYunUr+vfvL9Yzbdo0TJo0SSzXokWLQuvbtGkTVCoV1q9fD2NjYzRq1Ah//fUXPv7440LLGxkZwdLSEjKZTO2zUSgU8PPzQ1RUlHivqKgotGvXDg4ODoXWlZOTg5ycHPF1VlZWkc9NRERE9LJK3TJaFhs2bMCff/6JM2fOIDo6GjKZDABw7tw5ZGdn45133oFCoRCPGzduIDk5GQCQmJiIVq1aqdXn5eVV4j2/+uoreHp6onr16lAoFFi7di1SU1MBALdv38Y///yDTp06lSr+xMRENGnSBMbGxmWKoTCjRo3C999/j2fPniE3NxebNm3CiBEjiiwfGhoKS0tL8bCzsyvXfYmIiCobFWRQauhQQSb142hFpW4ZLYtz587h8ePH0NPTQ3p6OmxsbAC86P62sbFBbGxsgWusrKzKfb/NmzcjKCgIy5Ytg5eXF8zNzbF06VIcP34cAGBiYlLuul9Xjx49IJfLsX37dhgZGSEvLw//+c9/iiw/e/ZsTJ06VXydlZXFhJSIiIhKhckogPv378Pf3x9z5sxBeno6Bg8ejDNnzsDExATNmjVDRkYGDAwMxAlQr3JxccHx48cxdOhQ8dyxY8eKvWdcXBy8vb0xbtw48Vx+SysAmJubw97eHgcPHkSHDh1KfAYXFxd8++23ePbsmdg6WlIMRkZGUCqVBc4bGBhg2LBhiIqKgpGREQYOHFhsciyXy8UhDERERPQvlfDi0FRdlRG76QGMHTsWdnZ2mDt3LsLDw6FUKsXJP76+vvDy8kLv3r2xf/9+pKSk4OjRo5gzZw5OnToFAJg0aRI2bNiAqKgoXL16FQsWLMDFixeLvaeTkxNOnTqFffv24erVq5g3b16BCVbBwcFYtmwZVqxYgaSkJJw5cwYrV64stL4PP/wQMpkMo0aNwqVLl7B3716EhYUVG4O9vT2ys7Nx8OBB3L17F0+ePBHfGzlyJA4dOoSYmJhiu+iJiIioaJrqos8/KqO3Phn95ptvsHfvXnz77bcwMDCAmZkZvvvuO6xbtw6//PILZDIZ9u7di7Zt22L48OFwdnbGwIEDcfPmTdSsWRMAMGDAAMybNw8zZsyAp6cnbt68WeTEoXxjxoxBnz59MGDAALRq1Qr37t1TayUFgGHDhiEiIgKrVq1Co0aN8P777yMpKanQ+hQKBX7++WecP38eTZs2xZw5c7BkyZJiY/D29sbYsWMxYMAAVK9eHV988YX4npOTE7y9vdGwYcMC42GJiIiINEUmCEIlbfSl1yEIApycnDBu3Di18aClkZWVBUtLSzy46gALc+n/3qm3a7TUIagxsMiVOgSR+W/SjU1+VaZP8WvzVrTaW3Vnlzb9HN1Z0CV36n2pQ1AjW1td6hBE/3ygO9/bFvG6870NAIK+1BG8oMx5hktff4LMzExYWFho9V75vwuPXrSBQkO/C7MfqeDdKL1C4q9IHDNKBdy5cwebN29GRkYG1xYlIiIirWIySgXUqFED1apVw9q1a1GlShWpwyEiInpjqQQZVIJmxnpqqh5dw2SUCuDIDSIiIs3Q5MQjTmAiIiIiItIwtowSERERaYkSelBqqO2v4MrglQNbRomIiIhIMmwZJSIiItISQYMTmIRKOoGJLaNEREREJBm2jBIRERFpCWfTl4zJKBEREZGWKAU9KAUNTWCqpCsvspueiIiIiCTDllHSGre9/tAzMZY6DNzouVbqENS8199f6hBEj+rqzp/ZJma6s683ABhm6053mP7jPKlDEN1I17Fd2brr0GI3jw2ljkCk1K2t6WGV/FzqEAAAz/MqPg4VZFBpqO1PBd35ma1JbBklIiIiIsmwZZSIiIhISziBqWRMRomIiIi0RLMTmNhNT0RERESkUWwZJSIiItKSFxOYNNO9rql6dA1bRomIiIhIMkxGiYiIiLREBT0oNXSUd4mor776Cvb29jA2NkarVq1w4sSJYstHRESgQYMGMDExgZ2dHaZMmYJnz56V696lwW56IiIiIi2RegLTli1bMHXqVKxZswatWrVCREQE/Pz8cOXKFdSoUaNA+U2bNmHWrFnYsGEDvL29cfXqVfj7+0MmkyE8PFwTj1EAW0aJiIiIKqnw8HCMGjUKw4cPh6urK9asWQNTU1Ns2LCh0PJHjx6Fj48PPvzwQ9jb26Nz584YNGhQia2pr4PJKBEREZGWqP6/e11TBwBkZWWpHTk5OYXeOzc3F6dPn4avr694Tk9PD76+voiPjy/0Gm9vb5w+fVpMPq9fv469e/eiW7duGv5k/sVklIiIiOgNYmdnB0tLS/EIDQ0ttNzdu3ehVCpRs2ZNtfM1a9ZERkZGodd8+OGHWLhwIVq3bg1DQ0M4Ojqiffv2+OSTTzT+HPk4ZpSIiIhIS5SCDEpBQzsw/X89aWlpsLCwEM/L5XKN1A8AsbGxWLx4MVatWoVWrVrh2rVrmDRpEhYtWoR58+Zp7D4vq/QtozKZDDt27NBoPSkpKZDJZEhISHjtesurNDHExsZCJpPh4cOHAIDo6GhYWVlVSHxERESkHRYWFmpHUclotWrVoK+vj1u3bqmdv3XrFqytrQu9Zt68eRgyZAhGjhwJNzc3fPDBB1i8eDFCQ0OhUqk0/izAW5CMllVwcDA8PDwKnE9PT0fXrl0rPqAi2NnZIT09HY0bNy71NQMGDMDVq1fF10U9KxEREWmGppZ1yj/KwsjICJ6enjh48KB4TqVS4eDBg/Dy8ir0midPnkBPT/0++vr6AABBS9uRspu+lIr6C0Iq+vr6ZY7JxMQEJiYmWoqIiIiIXqUS9KDS0NJOqnIkg1OnTsWwYcPQvHlztGzZEhEREXj8+DGGDx8OABg6dChq1aoljjvt0aMHwsPD0bRpU7Gbft68eejRo4eYlGqazraMrl27Fra2tgWahHv16oURI0aIr1evXg1HR0cYGRmhQYMG+Pbbb4utd+bMmXB2doapqSkcHBwwb9485OXlAXjRjR0SEoJz585BJpNBJpMhOjoaQMnd/RcuXEDXrl2hUChQs2ZNDBkyBHfv3i2y/L179zBo0CDUqlULpqamcHNzw/fff69WRqVS4YsvvkD9+vUhl8tRp04dfPbZZwAK76bfu3cvnJ2dYWJigg4dOiAlJUWtvpe76Yt61hEjRuD9999Xuy4vLw81atTA+vXri/lkiYiISNcMGDAAYWFhmD9/Pjw8PJCQkICYmBhxUlNqairS09PF8nPnzsW0adMwd+5cuLq6IiAgAH5+fvj666+1FqPOtoz269cPEyZMwOHDh9GpUycAwP379xETE4O9e/cCALZv345JkyYhIiICvr6+2L17N4YPH47atWujQ4cOhdZrbm6O6Oho2Nra4vz58xg1ahTMzc0xY8YMDBgwABcuXEBMTAx+/fVXAIClpWWJsT58+BAdO3bEyJEjsXz5cjx9+hQzZ85E//79cejQoUKvefbsGTw9PTFz5kxYWFhgz549GDJkCBwdHdGyZUsAwOzZs7Fu3TosX74crVu3Rnp6Oi5fvlxofWlpaejTpw/Gjx+P0aNH49SpU5g2bVqRMRf1rM7Ozmjbti3S09NhY2MDANi9ezeePHmCAQMGFFpXTk6O2rISWVlZJX5mREREb4PydK8XXVf5uskDAwMRGBhY6HuxsbFqrw0MDLBgwQIsWLCgXPcqD51NRqtUqYKuXbti06ZNYjL6448/olq1amKiGRYWBn9/f4wbNw7Ai6boY8eOISwsrMhkdO7cueK/7e3tERQUhM2bN2PGjBkwMTGBQqGAgYFBmbrAv/zySzRt2hSLFy8Wz23YsAF2dna4evUqnJ2dC1xTq1YtBAUFia8nTJiAffv2YevWrWjZsiUePXqEyMhIfPnllxg2bBgAwNHREa1bty40hvwW4mXLlgEAGjRogPPnz2PJkiWFli/qWb29vcUW5hkzZgAAoqKi0K9fPygUikLrCg0NRUhISHEfEREREVGhdLabHgAGDx6Mn376SWx1+9///oeBAweKA2sTExPh4+Ojdo2Pjw8SExOLrHPLli3w8fGBtbU1FAoF5s6di9TU1NeK89y5czh8+DAUCoV4NGzYEACQnJxc6DVKpRKLFi2Cm5sbqlatCoVCgX379omxJCYmIicnR0zES5KYmIhWrVqpnStqcHJJRo4ciaioKAAvZtz98ssvakMjXjV79mxkZmaKR1paWrnuS0REVNmo8O/yTq97aGcuu/R0tmUUeDGIVhAE7NmzBy1atMDvv/+O5cuXl7u++Ph4DB48GCEhIfDz84OlpSU2b94stiaWV3Z2Nnr06FFoK2R+V/erli5disjISERERMDNzQ1mZmaYPHkycnNzAUDSiUZDhw7FrFmzEB8fj6NHj6JevXpo06ZNkeXlcrlG1zgjIiKqLF7eOUkTdVVGOp2MGhsbo0+fPvjf//6Ha9euoUGDBmjWrJn4vouLC+Li4sRubACIi4uDq6trofUdPXoUdevWxZw5c8RzN2/eVCtjZGQEpVJZpjibNWuGn376Cfb29jAwKN1HGhcXh169euGjjz4C8GKy0tWrV8XYnZycYGJigoMHD2LkyJEl1ufi4oJdu3apnTt27Fix1xT1rO+88w569+6NqKgoxMfHizPuiIiIiDRN51PswYMHY8+ePdiwYQMGDx6s9t706dMRHR2N1atXIykpCeHh4di2bZvaWMyXOTk5ITU1FZs3b0ZycjJWrFiB7du3q5Wxt7fHjRs3kJCQgLt37xa53+vLxo8fj/v372PQoEE4efIkkpOTsW/fPgwfPrzIxNbJyQkHDhzA0aNHkZiYiDFjxqgtSmtsbIyZM2dixowZ+Oabb5CcnIxjx44VOaN97NixSEpKwvTp03HlyhVs2rRJXAmgKMU968iRI7Fx40YkJiaqJftERERUekpBT6NHZaTzT9WxY0dUrVoVV65cwYcffqj2Xu/evREZGYmwsDA0atQIX3/9NaKiotC+fftC6+rZsyemTJmCwMBAeHh44OjRowW2turbty+6dOmCDh06oHr16gWWWyqMra0t4uLioFQq0blzZ7i5uWHy5MmwsrIqsHBsvrlz56JZs2bw8/ND+/btYW1tjd69e6uVmTdvHqZNm4b58+fDxcUFAwYMwO3btwutr06dOvjpp5+wY8cOuLu7Y82aNWoTqgpT3LP6+vrCxsYGfn5+sLW1LfEzICIiIioPmaCt5fTpjZadnY1atWohKioKffr0KdO1WVlZsLS0RO2IhdAzMdZShKV3o+daqUNQ815/f6lDED2qK/3XJ19230dSh6DGeqXujIPWf5wndQiiqx8bSR2COpVm9vzWiDzdad8xT9KtUXhWyc+lDgEA8DzvGY7vno/MzEy1vd21If934YrT78JEoZmvx9Ps55joeaxC4q9IuvW/lSSnUqlw9+5dLFu2DFZWVujZs6fUIREREVElxmSU1KSmpqJevXqoXbs2oqOjSz0hi4iIiArS5FjPyjpmlJkGqbG3twdHbhAREWmGZndgqpzJaOV8KiIiIiJ6I7BllIiIiEhLVIIMKkEzE+00VY+uYcsoEREREUmGLaNEREREWqLS4JhRbgdKRERERGWiEvSg0tAseE3Vo2sq51MRERER0RuBLaNEREREWqKEDEpoZuKRpurRNWwZJSIiIiLJsGWUtMbAPBd6ptL/vaNLe8EDwIGt0VKHIKq/aazUIYgMEyylDkFNSjfd2fxBZWIodQgiw3Tpv6dfVjs2T+oQROneuvMrVaU7oQAAbrXQlzoEAIDqmT6wu4LvyTGjJdKx/65ERERElYcSmuteV2qkFt1TOVNsIiIiInojsGWUiIiISEvYTV+yyvlURERERPRGYMsoERERkZYoBT0oNdSiqal6dE3lfCoiIiIieiOwZZSIiIhISwTIoNLQbHqhki56z2SUiIiISEvYTV+yyvlURERERPRGYMsoERERkZaoBBlUgma61zVVj65hyygRERERSYbJqAakpKRAJpMhISGhXNfLZDLs2LFDozGVhb29PSIiIootI3WMREREbyIl9DR6VEbsptcAOzs7pKeno1q1agCA2NhYdOjQAQ8ePICVlVWJ16enp6NKlSpajrJoJ0+ehJmZmWT3JyIiqqzYTV8yJqMaoK+vD2tr6zJfl5ubCyMjo3Jdq0nVq1eX9P5ERET09qqc7b1aoFKp8MUXX6B+/fqQy+WoU6cOPvvsMwDq3fQpKSno0KEDAKBKlSqQyWTw9/cHALRv3x6BgYGYPHkyqlWrBj8/PwAFu8D/+usvDBo0CFWrVoWZmRmaN2+O48ePFxnbzJkz4ezsDFNTUzg4OGDevHnIy8tTK/Pzzz+jRYsWMDY2RrVq1fDBBx+I773aTZ+UlIS2bdvC2NgYrq6uOHDgwOt8dERERG8tFfQ0elRGbBktpdmzZ2PdunVYvnw5WrdujfT0dFy+fLlAOTs7O/z000/o27cvrly5AgsLC5iYmIjvb9y4ER9//DHi4uIKvU92djbatWuHWrVqYdeuXbC2tsaZM2egUqmKjM3c3BzR0dGwtbXF+fPnMWrUKJibm2PGjBkAgD179uCDDz7AnDlz8M033yA3Nxd79+4ttC6VSoU+ffqgZs2aOH78ODIzMzF58uRiP5ucnBzk5OSIr7OysootT0RERJSPyWgpPHr0CJGRkfjyyy8xbNgwAICjoyNat25doKy+vj6qVq0KAKhRo0aBMaNOTk744osvirzXpk2bcOfOHZw8eVKsp379+sXGN3fuXPHf9vb2CAoKwubNm8Vk9LPPPsPAgQMREhIilnN3dy+0rl9//RWXL1/Gvn37YGtrCwBYvHgxunbtWuT9Q0ND1eomIiKiF5SCDEoNjfXUVD26pnK292pYYmIicnJy0KlTp9euy9PTs9j3ExIS0LRpUzERLY0tW7bAx8cH1tbWUCgUmDt3LlJTU9XqLG3siYmJsLOzExNRAPDy8ir2mtmzZyMzM1M80tLSSh07ERFRZZY/gUlTR2XEZLQUXu5mf10lzVov673i4+MxePBgdOvWDbt378bZs2cxZ84c5ObmlrvOspLL5bCwsFA7iIiIiEqDyWgpODk5wcTEBAcPHixVeSMjIwCAUqks872aNGmChIQE3L9/v1Tljx49irp162LOnDlo3rw5nJyccPPmzQJ1ljZ2FxcXpKWlIT09XTx37Nix0j8AERERiQRBDyoNHQL3pn97GRsbY+bMmZgxYwa++eYbJCcn49ixY1i/fn2h5evWrQuZTIbdu3fjzp07yM7OLvW9Bg0aBGtra/Tu3RtxcXG4fv06fvrpJ8THxxda3snJCampqdi8eTOSk5OxYsUKbN++Xa3MggUL8P3332PBggVITEzE+fPnsWTJkkLr8/X1hbOzM4YNG4Zz587h999/x5w5c0odPxEREVFZMBktpXnz5mHatGmYP38+XFxcMGDAANy+fbvQsrVq1UJISAhmzZqFmjVrIjAwsNT3MTIywv79+1GjRg1069YNbm5u+Pzzz6Gvr19o+Z49e2LKlCkIDAyEh4cHjh49innz5qmVad++PX744Qfs2rULHh4e6NixI06cOFFofXp6eti+fTuePn2Kli1bYuTIkeISVkRERFQ2Ssg0epTHV199BXt7exgbG6NVq1ZF5gD5Hj58iPHjx8PGxgZyuRzOzs5FrsKjCTJBEASt1U5vpaysLFhaWsJ+/VzomRpLHQ7sV0kdgboDW6OlDkFUf9NYqUMQGWbp1t/Geea686NRZVL00m4VzUDHvk61Y/NKLlRB0r2NpA5BpP9U6gjU5VnoxveT6tkzXF84B5mZmVqf35D/uzDgSH8YKQw1Umdudh7Wt9tapvi3bNmCoUOHYs2aNWjVqhUiIiLwww8/4MqVK6hRo0bBe+TmwsfHBzVq1MAnn3yCWrVq4ebNm7CysipyJZ7XxaWdiIiIiLREJWhuG09VOXL68PBwjBo1CsOHDwcArFmzBnv27MGGDRswa9asAuU3bNiA+/fv4+jRozA0fJFE29vbv07YJdKtP3GJiIiIKhFNTV7KP4AXra4vHy9vPPOy3NxcnD59Gr6+vuI5PT09+Pr6FjkXZdeuXfDy8sL48eNRs2ZNNG7cGIsXLy7XpOzSYjJKRERE9Aaxs7ODpaWleISGhhZa7u7du1AqlahZs6ba+Zo1ayIjI6PQa65fv44ff/wRSqUSe/fuxbx587Bs2TJ8+umnGn+OfOymJyIiItISFWRQlXPiUWF1AUBaWpramFG5XK6R+oEX24LXqFEDa9euhb6+Pjw9PfH3339j6dKlWLBggcbu8zImo0RERERvkNJuMFOtWjXo6+vj1q1baudv3boFa2vrQq+xsbGBoaGh2io+Li4uyMjIQG5urriWuiaxm56IiIhIS/L3ptfUURZGRkbw9PRU2/hGpVLh4MGDRW717ePjg2vXrkGl+ncVj6tXr8LGxkYriSjAZJSIiIhIa7Qxgakspk6dinXr1mHjxo1ITEzExx9/jMePH4uz64cOHYrZs2eL5T/++GPcv38fkyZNwtWrV7Fnzx4sXrwY48eP19hn8ip20xMRERFVUgMGDMCdO3cwf/58ZGRkwMPDAzExMeKkptTUVOjp/Zvk2tnZYd++fZgyZQqaNGmCWrVqYdKkSZg5c6bWYmQySkRERKQlKsg0t85oOSdCBQYGFrkbZGxsbIFzXl5eOHbsWLnuVR7spiciIiIiybBllIiIiEhLBA0u7SRoqB5dw2SUtEZx1AT6RtLvTf+orm7siZxPl/aDv/bhGqlDEDVf8LHUIahRej6QOgRRDUW21CGIqhg/kToENf+cqC91CCKLZN35WWOeVviOPFK57Sn97wIAUOZUfDKnEjTYTa+henQNu+mJiIiISDJsGSUiIiLSkvIuyVRUXZVR5XwqIiIiInojsGWUiIiISEs4ZrRkbBklIiIiIsmwZZSIiIhIS1QaXNpJU/XoGiajRERERFrCbvqSsZueiIiIiCTDllEiIiIiLWHLaMnYMkpEREREkmHLKBEREZGWsGW0ZG99y6i/vz969+5dbJn27dtj8uTJGr1vcHAwPDw8NFonERER6Zb8ZFRTR2X01reMRkZGQhAEqcMgIiIieiu90clobm4ujIyMXqsOS0tLDUXzdtDEZ05ERPS2EKC59UEra9PZG9VN3759ewQGBmLy5MmoVq0a/Pz8AAAXLlxA165doVAoULNmTQwZMgR3794Vr/vxxx/h5uYGExMTvPPOO/D19cXjx48BFOymf/z4MYYOHQqFQgEbGxssW7asQBwymQw7duxQO2dlZYXo6Gjx9cyZM+Hs7AxTU1M4ODhg3rx5yMvLK/WzPnjwAIMHD0b16tVhYmICJycnREVFAQBiY2Mhk8nw8OFDsXxCQgJkMhlSUlLEc+vWrYOdnR1MTU3xwQcfIDw8HFZWVuL7ycnJ6NWrF2rWrAmFQoEWLVrg119/VYvD3t4eixYtwtChQ2FhYYHRo0eX+hmIiIiISvJGJaMAsHHjRhgZGSEuLg5r1qzBw4cP0bFjRzRt2hSnTp1CTEwMbt26hf79+wMA0tPTMWjQIIwYMQKJiYmIjY1Fnz59iuyanz59Oo4cOYKdO3di//79iI2NxZkzZ8ocp7m5OaKjo3Hp0iVERkZi3bp1WL58eamvnzdvHi5duoRffvkFiYmJWL16NapVq1bq6+Pi4jB27FhMmjQJCQkJeO+99/DZZ5+plcnOzka3bt1w8OBBnD17Fl26dEGPHj2QmpqqVi4sLAzu7u44e/Ys5s2bV+oYiIiI3nYcM1qyN66b3snJCV988YX4+tNPP0XTpk2xePFi8dyGDRtgZ2eHq1evIjs7G8+fP0efPn1Qt25dAICbm1uhdWdnZ2P9+vX47rvv0KlTJwAvkt/atWuXOc65c+eK/7a3t0dQUBA2b96MGTNmlOr61NRUNG3aFM2bNxfrKIuVK1eia9euCAoKAgA4Ozvj6NGj2L17t1jG3d0d7u7u4utFixZh+/bt2LVrFwIDA8XzHTt2xLRp04q8V05ODnJycsTXWVlZZYqViIiosuJs+pK9cS2jnp6eaq/PnTuHw4cPQ6FQiEfDhg0BvOiGdnd3R6dOneDm5oZ+/fph3bp1ePDgQaF1JycnIzc3F61atRLPVa1aFQ0aNChznFu2bIGPjw+sra2hUCgwd+7cAi2Oxfn444+xefNmeHh4YMaMGTh69GiZ7n/lyhW0bNlS7dyrr7OzsxEUFAQXFxdYWVlBoVAgMTGxQJz5CXFRQkNDYWlpKR52dnZlipWIiIjeXm9cMmpmZqb2Ojs7Gz169EBCQoLakZSUhLZt20JfXx8HDhzAL7/8AldXV6xcuRINGjTAjRs3yh2DTCYr0M3/8njQ+Ph4DB48GN26dcPu3btx9uxZzJkzB7m5uaW+R9euXXHz5k1MmTIF//zzDzp16iS2curpvfiyvRxDWcaj5gsKCsL27duxePFi/P7770hISICbm1uBOF/9zF81e/ZsZGZmikdaWlqZYyEiIqqM2E1fsjcuGX1Vs2bNcPHiRdjb26N+/fpqR34SJZPJ4OPjg5CQEJw9exZGRkbYvn17gbocHR1haGiI48ePi+cePHiAq1evqpWrXr060tPTxddJSUl48uSJ+Pro0aOoW7cu5syZg+bNm8PJyQk3b94s87NVr14dw4YNw3fffYeIiAisXbtWPA9ALYaEhAS1axs0aICTJ0+qnXv1dVxcHPz9/fHBBx/Azc0N1tbWahOgSksul8PCwkLtICIiIiqNNz4ZHT9+PO7fv49Bgwbh5MmTSE5Oxr59+zB8+HAolUocP34cixcvxqlTp5Camopt27bhzp07cHFxKVCXQqFAQEAApk+fjkOHDuHChQvw9/cXWyLzdezYEV9++SXOnj2LU6dOYezYsTA0NBTfd3JyQmpqKjZv3ozk5GSsWLGi0OS3OPPnz8fOnTtx7do1XLx4Ebt37xZjrl+/Puzs7BAcHIykpCTs2bOnwKz/CRMmYO/evQgPD0dSUhK+/vpr/PLLL5DJ/v2rysnJCdu2bUNCQgLOnTuHDz/8ECqVqkxxEhERUdHYMlqyNz4ZtbW1RVxcHJRKJTp37gw3NzdMnjwZVlZW0NPTg4WFBX777Td069YNzs7OmDt3LpYtW4auXbsWWt/SpUvRpk0b9OjRA76+vmjdunWBcarLli2DnZ0d2rRpgw8//BBBQUEwNTUV3+/ZsyemTJmCwMBAeHh44OjRo2WehW5kZITZs2ejSZMm4nCDzZs3AwAMDQ3x/fff4/Lly2jSpAmWLFmCTz/9VO16Hx8frFmzBuHh4XB3d0dMTAymTJkCY2NjsUx4eDiqVKkCb29v9OjRA35+fmjWrFmZ4iQiIiJ6HTKB2w+9NUaNGoXLly/j999/1+p9srKyYGlpicYBn0HfyLjkC7TM6JFu/Re/21TqCP517cM1Uocgar7gY6lDUKN8v/CJjlKoociWOgRRFeMnJReqQP8srS91CKIcc32pQxCZp+WUXKgC3faU/ncBAChznuHyyk+QmZmp9SFl+b8LfXYGwsBMrpE6nz/OQVyvLysk/or0xi3tRKUXFhaG9957D2ZmZvjll1+wceNGrFq1SuqwiIiI3hoqyDS2A5Om6tE1TEYrsRMnTuCLL77Ao0eP4ODggBUrVmDkyJFSh0VEREQkYjJaiW3dulXqEIiIiN5qXPS+ZG/8BCYiIiIienOxZZSIiIhISwRBBkFDLZqaqkfXMBklIiIi0hJ205eM3fREREREJBm2jBIRERFpCbvpS8aWUSIiIiKSDFtGiYiIiLRE0OCY0craMspklIiIiEhLBACa2nhdtza31hwmo6Q1Wa2eQc9U6igAE7NcqUNQY5hgKXUIIl3aD/5UyGqpQ1Dz7vSxUocgepalO3tQ/zlMt/amF9x159eYUdMHUocgMvpGd/7PAIBZukrqEAAAyjzdiIPU6c53MREREVElo4IMMu5NXyxOYCIiIiIiybBllIiIiEhLuLRTydgySkRERFSJffXVV7C3t4exsTFatWqFEydOlOq6zZs3QyaToXfv3lqNj8koERERkZbkbweqqaOstmzZgqlTp2LBggU4c+YM3N3d4efnh9u3bxd7XUpKCoKCgtCmTZvyPnqpMRklIiIi0hJB0OxRVuHh4Rg1ahSGDx8OV1dXrFmzBqamptiwYUOR1yiVSgwePBghISFwcHB4jacvHSajRERERG+QrKwstSMnJ6fQcrm5uTh9+jR8fX3Fc3p6evD19UV8fHyR9S9cuBA1atRAQECAxmMvDJNRIiIiIi3Jn8CkqQMA7OzsYGlpKR6hoaGF3vvu3btQKpWoWbOm2vmaNWsiIyOj0Gv++OMPrF+/HuvWrdPsB1EMzqYnIiIieoOkpaXBwuLfjQ3kcrlG6n306BGGDBmCdevWoVq1ahqpszSYjBIRERFpiTaWdrKwsFBLRotSrVo16Ovr49atW2rnb926BWtr6wLlk5OTkZKSgh49eojnVKoXu1YZGBjgypUrcHR0fJ1HKBS76YmIiIi0RMrZ9EZGRvD09MTBgwf/jUelwsGDB+Hl5VWgfMOGDXH+/HkkJCSIR8+ePdGhQwckJCTAzs7utT+PwrBllIiIiKiSmjp1KoYNG4bmzZujZcuWiIiIwOPHjzF8+HAAwNChQ1GrVi2EhobC2NgYjRs3VrveysoKAAqc1yS2jGpBSkoKZDIZEhISiiwTHR0tfoFfR2xsLGQyGR4+fKj1exEREVHZSL2004ABAxAWFob58+fDw8MDCQkJiImJESc1paamIj09XcNPXTZsGX3DeXt7Iz09HZaWllKHQkRERDooMDAQgYGBhb4XGxtb7LXR0dGaD+gVTEbfYHl5eTAyMip0EDIRERFJ70WLpqYmMGmkGp3DbvrXoFKp8MUXX6B+/fqQy+WoU6cOPvvsM/H969evo0OHDjA1NYW7u3uxC8wCwOrVq+Ho6AgjIyM0aNAA3377rdr7MpkMq1evRs+ePWFmZobPPvus0G766Oho1KlTB6ampvjggw9w7969AvfauXMnmjVrBmNjYzg4OCAkJATPnz8HAAiCgODgYNSpUwdyuRy2traYOHHia3xSREREbydtrDNa2TAZfQ2zZ8/G559/jnnz5uHSpUvYtGmT2sKyc+bMQVBQEBISEuDs7IxBgwaJCd+rtm/fjkmTJmHatGm4cOECxowZg+HDh+Pw4cNq5YKDg/HBBx/g/PnzGDFiRIF6jh8/joCAAAQGBiIhIQEdOnTAp59+qlbm999/x9ChQzFp0iRcunQJX3/9NaKjo8VE+qeffsLy5cvx9ddfIykpCTt27ICbm1uRn0NOTk6B3SCIiIiISoPd9OX06NEjREZG4ssvv8SwYcMAAI6OjmjdujVSUlIAAEFBQejevTsAICQkBI0aNcK1a9fQsGHDAvWFhYXB398f48aNA/Bi9tuxY8cQFhaGDh06iOU+/PBDcQYc8KL19WWRkZHo0qULZsyYAQBwdnbG0aNHERMTI5YJCQnBrFmzxLgdHBywaNEizJgxAwsWLEBqaiqsra3h6+sLQ0ND1KlTBy1btizyswgNDUVISEipPzsiIqK3hfD/h6bqqozYMlpOiYmJyMnJQadOnYos06RJE/HfNjY2AIDbt28XWZ+Pj4/aOR8fHyQmJqqda968eYlxtWrVSu3cq2uJnTt3DgsXLoRCoRCPUaNGIT09HU+ePEG/fv3w9OlTODg4YNSoUdi+fXuRLbrAixbizMxM8UhLSys2RiIiIqJ8bBktJxMTkxLLGBoaiv+WyV6M88jfyaC8zMzMXut6AMjOzkZISAj69OlT4D1jY2PY2dnhypUr+PXXX3HgwAGMGzcOS5cuxZEjR9SeKZ9cLtfYVmRERESViTZ2YKps2DJaTk5OTjAxMVHb1eB1uLi4IC4uTu1cXFwcXF1dy1zP8ePH1c4dO3ZM7XWzZs1w5coV1K9fv8Chp/fiv4SJiQl69OiBFStWIDY2FvHx8Th//nw5noyIiIioaGwZLSdjY2PMnDkTM2bMgJGREXx8fHDnzh1cvHix2K77okyfPh39+/dH06ZN4evri59//hnbtm3Dr7/+WqZ6Jk6cCB8fH4SFhaFXr17Yt2+f2nhRAJg/fz7ef/991KlTB//5z3+gp6eHc+fO4cKFC/j0008RHR0NpVKJVq1awdTUFN999x1MTExQt27dMj8XERHRW42DRkvEltHXMG/ePEybNg3z58+Hi4sLBgwYUOSY0JL07t0bkZGRCAsLQ6NGjfD1118jKioK7du3L1M97777LtatW4fIyEi4u7tj//79mDt3rloZPz8/7N69G/v370eLFi3w7rvvYvny5WKyaWVlhXXr1sHHxwdNmjTBr7/+ip9//hnvvPNOuZ6NiIjoraXJZZ0qaTe9TBAq6xKqJJWsrCxYWlqiztp50DM1ljocmJjlSh2CGmWC7uyWZZauO9/+p0JWSx2Cmnenj5U6BJE86/XGmmvSnWFPpA5BjXDeQuoQREZNH0gdgsjiG935XADgubFuJFHKvGc4vXUuMjMzYWGh3c8o/3ehQ/Qcjf0uVD15huv+n1VI/BWJ3fREREREWlLePeWLqqsyYjc9EREREUmGLaNEREREWsKlnUrGZJSIiIhIWzQ58aiSJqPspiciIiIiybBllIiIiEhLOIGpZGwZJSIiIiLJsGWUiIiISFu4A1OJ2DJKRERERJJhyygRERGRlnBpp5IxGSUiIiLSpkrava4pTEZJa2y3G8LA0FDqMGCYrVt/SaZ0052fSkpP3dlLW5f2ggeAY0vXSB2CaOWDulKHIFr9fXepQ1Bjlq47308GyZZShyDKNdOtn3tZjroRj/IZRyfqIiajRERERFrCbvqS8U8EIiIiIpIMW0aJiIiItIVLO5WIySgRERGR1sj+/9BUXZUPu+mJiIiISDJsGSUiIiLSFnbTl4gto0REREQkGbaMEhEREWkLW0ZLxGSUiIiISFsE2YtDU3VVQuymJyIiIiLJsGWUiIiISEsE4cWhqboqo9dqGRUEAaNHj0bVqlUhk8mQkJCgobAqhkwmw44dO8TXly9fxrvvvgtjY2N4eHho/f6xsbGQyWR4+PAhACA6OhpWVlYaqz8lJaXEr8urMRARERFVpNdqGY2JiUF0dDRiY2Ph4OCAatWqaSouSSxYsABmZma4cuUKFApFhd9/wIAB6Natm8bqs7OzQ3p6+hv/dSEiInpjcQJTiV4rGU1OToaNjQ28vb2LLJObmwsjI6PXuU2FSU5ORvfu3VG3bt1y16FUKiGTyaCnV/ZGZxMTE5iYmJT73q/S19eHtbW1xuojIiIi0rRyd9P7+/tjwoQJSE1NhUwmg729PQCgffv2CAwMxOTJk1GtWjX4+fkBAC5cuICuXbtCoVCgZs2aGDJkCO7evSvWp1KpEBoainr16sHExATu7u748ccfi41h1apVcHJygrGxMWrWrIn//Oc/4nv29vaIiIhQK+/h4YHg4OBC65LJZDh9+jQWLlwImUyG4ODgQruwExISIJPJkJKSAuDfrvVdu3bB1dUVcrkcqamphd5j7969cHZ2homJCTp06CDWka+wbvrVq1fD0dERRkZGaNCgAb799lvxvREjRqBJkybIyckB8CLxb9q0KYYOHQqg8G76kmIAgD/++ANt2rSBiYkJ7OzsMHHiRDx+/LjQZyIiIqJi5M+m19RRCZU7GY2MjMTChQtRu3ZtpKen4+TJk+J7GzduhJGREeLi4rBmzRo8fPgQHTt2RNOmTXHq1CnExMTg1q1b6N+/v3hNaGgovvnmG6xZswYXL17ElClT8NFHH+HIkSOF3v/UqVOYOHEiFi5ciCtXriAmJgZt27Yt7+MgPT0djRo1wrRp05Ceno6goKBSX/vkyRMsWbIE//3vf3Hx4kXUqFGjQJm0tDT06dMHPXr0QEJCAkaOHIlZs2YVW+/27dsxadIkTJs2DRcuXMCYMWMwfPhwHD58GACwYsUKPH78WKxnzpw5ePjwIb788stC6ytNDMnJyejSpQv69u2LP//8E1u2bMEff/yBwMDAIuPMyclBVlaW2kFERESATNDsURmVu5ve0tIS5ubmhXYFOzk54YsvvhBff/rpp2jatCkWL14sntuwYQPs7Oxw9epV1K1bF4sXL8avv/4KLy8vAICDgwP++OMPfP3112jXrl2B+6empsLMzAzvv/8+zM3NUbduXTRt2rS8jwNra2sYGBhAoVCUuWs7Ly8Pq1atgru7e5Fl8ls4ly1bBgBo0KABzp8/jyVLlhR5TVhYGPz9/TFu3DgAwNSpU3Hs2DGEhYWhQ4cOUCgU+O6779CuXTuYm5sjIiIChw8fhoWFRbljCA0NxeDBgzF58mQAL76WK1asQLt27bB69WoYGxsXqDc0NBQhISHFf0hEREREhdDKOqOenp5qr8+dO4fDhw9DoVCIR8OGDQG8aIm7du0anjx5gvfee0+tzDfffIPk5ORC7/Hee++hbt26cHBwwJAhQ/C///0PT5480cbjlMjIyAhNmjQptkxiYiJatWqldi4/8S7uGh8fH7VzPj4+SExMVKsjKCgIixYtwrRp09C6devXiuHcuXOIjo5W+zr4+flBpVLhxo0bhdY7e/ZsZGZmikdaWlqxz0VERPTWEDR8VEJaWWfUzMxM7XV2djZ69OhRaCugjY0NLly4AADYs2cPatWqpfa+XC4v9B7m5uY4c+YMYmNjsX//fsyfPx/BwcE4efIkrKysoKenB+GVBbny8vLK9Bz5k5BerqewOkxMTCCTSTOOQ6VSIS4uDvr6+rh27dpr15ednY0xY8Zg4sSJBd6rU6dOodfI5fIiv05ERERExamQHZiaNWuGixcvwt7eHvXr11c7zMzM1Cb+vPq+nZ1dkfUaGBjA19cXX3zxBf7880+kpKTg0KFDAIDq1asjPT1dLJuVlVVky15RqlevDgBq9ZR3LVUXFxecOHFC7dyxY8dKvCYuLk7tXFxcHFxdXcXXS5cuxeXLl3HkyBHExMQgKirqtWJo1qwZLl26VODrUL9+/TdmVQQiIiKdoQMTmL766ivY29vD2NgYrVq1KpALvGzdunVo06YNqlSpgipVqsDX17fY8ppQIcno+PHjcf/+fQwaNAgnT55EcnIy9u3bh+HDh0OpVMLc3BxBQUGYMmUKNm7ciOTkZJw5cwYrV67Exo0bC61z9+7dWLFiBRISEnDz5k188803UKlUaNCgAQCgY8eO+Pbbb/H777/j/PnzGDZsGPT19csUd34yHBwcjKSkJOzZs0ccb1lWY8eORVJSEqZPn44rV65g06ZNiI6OLvaa6dOnIzo6GqtXr0ZSUhLCw8Oxbds2cXLV2bNnMX/+fPz3v/+Fj48PwsPDMWnSJFy/fr3cMcycORNHjx5FYGAgEhISkJSUhJ07dxY7gYmIiIiKIHE3/ZYtWzB16lQsWLAAZ86cgbu7O/z8/HD79u1Cy8fGxmLQoEE4fPgw4uPjYWdnh86dO+Pvv/8u+81LqUKSUVtbW8TFxUGpVKJz585wc3PD5MmTxe50AFi0aBHmzZuH0NBQuLi4oEuXLtizZw/q1atXaJ1WVlbYtm0bOnbsCBcXF6xZswbff/89GjVqBODFOMZ27drh/fffR/fu3dG7d284OjqWKW5DQ0N8//33uHz5Mpo0aYIlS5bg008/LddnUKdOHfz000/YsWMH3N3dsWbNGrUJXYXp3bs3IiMjERYWhkaNGuHrr79GVFQU2rdvj2fPnuGjjz6Cv78/evToAQAYPXo0OnTogCFDhkCpVJYrhiZNmuDIkSO4evUq2rRpg6ZNm2L+/PmwtbUt13MTERGRdMLDwzFq1CgMHz4crq6uWLNmDUxNTbFhw4ZCy//vf//DuHHj4OHhgYYNG+K///0vVCoVDh48qLUYZcKrAyuJXlNWVhYsLS3xbteFMDAsOPu+ohlmP5c6BDUp3XRnfK258wOpQxDJt1pJHYKaY0vXSB2CaOWD8m/EoWmrv+8udQhqTNN151eYQY7uxCJINI+hKFmOuhGP8tkzJId+gszMzCJXntGU/N+FdssWQc9EM78LVU+fIW3aPKSlpanFX9TcjdzcXJiamuLHH39E7969xfPDhg3Dw4cPsXPnzhLv+ejRI9SoUQM//PAD3n//fY08x6sqpGWUiIiIiDTDzs4OlpaW4hEaGlpoubt370KpVKJmzZpq52vWrImMjIxS3WvmzJmwtbWFr6/va8ddFK3MpiciIiIiaGVv+sJaRrXh888/x+bNmxEbG1voOuOawmSUiIiISFs0uY3n/9djYWFRqmEG1apVg76+Pm7duqV2/tatWyVu8BMWFobPP/8cv/76a4lrqb8udtMTERERVUJGRkbw9PRUm3yUPxmpuI13vvjiCyxatAgxMTFo3ry51uNkyygRERGRlmhyT/ny1DN16lQMGzYMzZs3R8uWLREREYHHjx9j+PDhAIChQ4eiVq1a4rjTJUuWYP78+di0aRPs7e3FsaX5uzJqA5NRIiIiokpqwIABuHPnDubPn4+MjAx4eHggJiZGnNSUmpoqLrMJAKtXr0Zubi7+85//qNWzYMECBAcHayVGJqNERERE2qKFCUxlFRgYWOTmNbGxsWqvU1JSyneT18Axo0REREQkGSajRERERCQZdtMTERERaYkMGpzApJlqdA5bRomIiIhIMmwZJa3Rz1VBX6WSOgzoP86TOgQ1KhNDqUMQ1VBkSx2C6FmWdveJLitd2g9+QpWbUocgWq1jTTPyLOl/xuTTz9Wdvel1rQnNMEs30g29HAluqoVF7ysbtowSERERkWR0408VIiIiospIB5Z20nVMRomIiIi0hcloidhNT0RERESSYcsoERERkZZIvTf9m4Ato0REREQkGbaMEhEREWkLx4yWiMkoERERkbYwGS0Ru+mJiIiISDJsGSUiIiLSEk5gKhlbRomIiIhIMjqdjPr7+6N3795aqz84OBgeHh4FztWsWRMymQw7duzQ2r3ztW/fHpMnTxZf29vbIyIiQmP1l+YzfDUGIiIi0pD8vek1dVRCZeqmb9++PTw8PMqcLJX3uoqWmJiIkJAQbN++He+++y6qVKlS4TGcPHkSZmZmGqsvMjISglBJ2/WJiIjojccxoy9JTk4GAPTq1QsyWfn/+sjNzYWRkVG5rq1evXq571sYS0tLjdZHREREZcDZ9CUqdTe9v78/jhw5gsjISMhkMshkMqSkpAAAjhw5gpYtW0Iul8PGxgazZs3C8+fPi71OqVQiICAA9erVg4mJCRo0aIDIyMgyBX/z5k306NEDVapUgZmZGRo1aoS9e/cCAKKjo2FlZaVWfseOHUUmmcHBwejRo8eLD0VPTyxXWBd279694e/vL762t7fHokWLMHToUFhYWGD06NGF3uPx48cYOnQoFAoFbGxssGzZsgJlXu2mT01NRa9evaBQKGBhYYH+/fvj1q1bAIDLly/D1NQUmzZtEstv3boVJiYmuHTpEoCC3fSliSEnJwdBQUGoVasWzMzM0KpVK8TGxhb6TERERFS0/AlMmjoqo1Ino5GRkfDy8sKoUaOQnp6O9PR02NnZ4e+//0a3bt3QokULnDt3DqtXr8b69evx6aefFnudSqVC7dq18cMPP+DSpUuYP38+PvnkE2zdurXUwY8fPx45OTn47bffcP78eSxZsgQKhaLsnwKAoKAgREVFAYAYZ1mEhYXB3d0dZ8+exbx58wotM336dBw5cgQ7d+7E/v37ERsbizNnzhRZp0qlQq9evXD//n0cOXIEBw4cwPXr1zFgwAAAQMOGDREWFoZx48YhNTUVf/31F8aOHYslS5bA1dW13DEEBgYiPj4emzdvxp9//ol+/fqhS5cuSEpKKtNnQkRERFSSUnfTW1pawsjICKamprC2thbPr1q1CnZ2dvjyyy8hk8nQsGFD/PPPP5g5cybmz59f5HX6+voICQkRX9erVw/x8fHYunUr+vfvX6qYUlNT0bdvX7i5uQEAHBwcSvs4BSgUCrEl9eU4S6tjx46YNm1ake9nZ2dj/fr1+O6779CpUycAwMaNG1G7du0irzl48CDOnz+PGzduwM7ODgDwzTffoFGjRjh58iRatGiBcePGYe/evfjoo49gZGSEFi1aYMKECeWOITU1FVFRUUhNTYWtrS2AF4l6TEwMoqKisHjx4gL15uTkICcnR3ydlZVV5DMRERG9VdhNX6LXHjOamJgILy8vte5vHx8fZGdn46+//kKdOnWKvParr77Chg0bkJqaiqdPnyI3N7fA7PbiTJw4ER9//DH2798PX19f9O3bF02aNHmdxym35s2bF/t+cnIycnNz0apVK/Fc1apV0aBBgyKvSUxMhJ2dnZiIAoCrqyusrKyQmJiIFi1aAAA2bNgAZ2dn6Onp4eLFi0UORShNDOfPn4dSqYSzs7PatTk5OXjnnXcKrTc0NFTtDwsiIiKi0pJsaafNmzcjKCgIAQEB2L9/PxISEjB8+HDk5uaWuo6RI0fi+vXrGDJkCM6fP4/mzZtj5cqVAF6M+3x1FnleXl6Z4yxtPZqcAV9W586dw+PHj/H48eMyDy94VXZ2NvT19XH69GkkJCSIR2JiYpFjemfPno3MzEzxSEtLe60YiIiIKg1NjhetpC2jZUpGjYyMoFQq1c65uLggPj5eLWGLi4uDubm52P1b2HVxcXHw9vbGuHHj0LRpU9SvX1+czV4WdnZ2GDt2LLZt24Zp06Zh3bp1AF7MSn/06BEeP34slk1ISChz/dWrV1dL8JRKJS5cuFDmehwdHWFoaIjjx4+L5x48eICrV68WeY2LiwvS0tLUkrtLly7h4cOH4pjQ+/fvw9/fH3PmzIG/vz8GDx6Mp0+fljuGpk2bQqlU4vbt26hfv77aUdTwBblcDgsLC7WDiIiI8G83vaaOSqhMyai9vT2OHz+OlJQU3L17FyqVCuPGjUNaWhomTJiAy5cvY+fOnViwYAGmTp0KPT29Iq9zcnLCqVOnsG/fPly9ehXz5s3DyZMnyxT85MmTsW/fPty4cQNnzpzB4cOH4eLiAgBo1aoVTE1N8cknnyA5ORmbNm1CdHR0meoHXowF3bNnD/bs2YPLly/j448/xsOHD8tcj0KhQEBAAKZPn45Dhw7hwoUL8Pf3Fz+jwvj6+sLNzQ2DBw/GmTNncOLECQwdOhTt2rUThwWMHTsWdnZ2mDt3LsLDw6FUKhEUFFTuGJydnTF48GAMHToU27Ztw40bN3DixAmEhoZiz549ZX5uIiIiouKUKRkNCgqCvr4+XF1dUb16daSmpqJWrVrYu3cvTpw4AXd3d4wdOxYBAQGYO3dusdeNGTMGffr0wYABA9CqVSvcu3cP48aNK1PwSqUS48ePh4uLC7p06QJnZ2esWrUKwIuxkN999x327t0LNzc3fP/99wgODi5T/QAwYsQIDBs2TEwCHRwc0KFDhzLXAwBLly5FmzZt0KNHD/j6+qJ169bw9PQssrxMJsPOnTtRpUoVtG3bFr6+vnBwcMCWLVsAvJjMtHfvXnz77bcwMDCAmZkZvvvuO6xbtw6//PJLuWOIiorC0KFDMW3aNDRo0AC9e/fGyZMnix3/S0RERIVgy2iJZAK35yENy8rKgqWlJXw6BcPAwFjqcGD4MKfkQhUoaaip1CGInFz+ljoE0bMIW6lDUPOfz/dJHYJoQpWbUocgcl1dtkYDbatyWVlyoQqin6tDv051bNfIhw66sceOMucZLn/5CTIzM7U+pCz/d6HDnMXQN9bM70Lls2e4/lnFxF+RdON/BxEREVElpMnF6t/6Re+JiIiIiDSNySgRERERSYbd9ERERETawh2YSsSWUSIiIiKSDFtGiYiIiLSEE5hKxpZRIiIiIpIMW0aJiIiItKmStmhqCpNRIiIiIm3hBKYSsZueiIiIiCTDllEiIiIiLeEEppIxGSWtyR3/ACozudRh4EZ6FalDUGOYrjsdElWMn0gdgujPYboTCwCs/r671CGIVuvQPuOXPl4ldQhqGn05TuoQRE8cc6UOQeQccErqENTodW0hdQgAgOd5eVKHQIXQnd+KRERERJWNoOGjHL766ivY29vD2NgYrVq1wokTJ4ot/8MPP6Bhw4YwNjaGm5sb9u7dW74blxKTUSIiIiItye+m19RRVlu2bMHUqVOxYMECnDlzBu7u7vDz88Pt27cLLX/06FEMGjQIAQEBOHv2LHr37o3evXvjwoULr/lJFI3JKBEREVElFR4ejlGjRmH48OFwdXXFmjVrYGpqig0bNhRaPjIyEl26dMH06dPh4uKCRYsWoVmzZvjyyy+1FiOTUSIiIiJt0UI3fVZWltqRk5NT6K1zc3Nx+vRp+Pr6iuf09PTg6+uL+Pj4Qq+Jj49XKw8Afn5+RZbXBCajRERERG8QOzs7WFpaikdoaGih5e7evQulUomaNWuqna9ZsyYyMjIKvSYjI6NM5TWBs+mJiIiItEULi96npaXBwsJCPC2XS79yzetgMkpERESkJdpYZ9TCwkItGS1KtWrVoK+vj1u3bqmdv3XrFqytrQu9xtraukzlNYHd9ERERESVkJGRETw9PXHw4EHxnEqlwsGDB+Hl5VXoNV5eXmrlAeDAgQNFltcEtowSERERaYvEe9NPnToVw4YNQ/PmzdGyZUtERETg8ePHGD58OABg6NChqFWrljjudNKkSWjXrh2WLVuG7t27Y/PmzTh16hTWrl2roYcoiMkoERERUSU1YMAA3LlzB/Pnz0dGRgY8PDwQExMjTlJKTU2Fnt6/HeXe3t7YtGkT5s6di08++QROTk7YsWMHGjdurLUYmYwSERERaYvELaMAEBgYiMDAwELfi42NLXCuX79+6NevX/luVg4cM0pEREREkmEyKrH27dtj8uTJFXKv4OBgeHh4VMi9iIiISPrtQN8ETEbfIkFBQWoz5Pz9/dG7d2/pAiIiIqrstLADU2XDMaNvEYVCAYVCIXUYRERERCK2jFagx48fY+jQoVAoFLCxscGyZcvU3s/JyUFQUBBq1aoFMzMztGrVSm1gcXR0NKysrLBv3z64uLhAoVCgS5cuSE9PF8vExsaiZcuWMDMzg5WVFXx8fHDz5k0A6t30wcHB2LhxI3bu3AmZTAaZTIbY2Fh07NixwCDnO3fuwMjIqMC6Y0RERFQ8dtOXjMloBZo+fTqOHDmCnTt3Yv/+/YiNjcWZM2fE9wMDAxEfH4/Nmzfjzz//RL9+/dClSxckJSWJZZ48eYKwsDB8++23+O2335CamoqgoCAAwPPnz9G7d2+0a9cOf/75J+Lj4zF69GjIZLICsQQFBaF///5iMpueng5vb2+MHDkSmzZtQk5Ojlj2u+++Q61atdCxY8dCnysnJwdZWVlqBxEREVFpMBmtINnZ2Vi/fj3CwsLQqVMnuLm5YePGjXj+/DmAF+t8RUVF4YcffkCbNm3g6OiIoKAgtG7dGlFRUWI9eXl5WLNmDZo3b45mzZohMDBQbLHMyspCZmYm3n//fTg6OsLFxQXDhg1DnTp1CsSjUChgYmICuVwOa2trWFtbw8jICH369AEA7Ny5UywbHR0Nf3//QpNaAAgNDYWlpaV42NnZaexzIyIieqNxzGiJmIxWkOTkZOTm5qJVq1biuapVq6JBgwYAgPPnz0OpVMLZ2Vkc26lQKHDkyBEkJyeL15iamsLR0VF8bWNjg9u3b4v1+fv7w8/PDz169EBkZKRaF35pGBsbY8iQIdiwYQMA4MyZM7hw4QL8/f2LvGb27NnIzMwUj7S0tDLdk4iIqNJiMloiTmDSEdnZ2dDX18fp06ehr6+v9t7Lk44MDQ3V3pPJZBCEf/93RkVFYeLEiYiJicGWLVswd+5cHDhwAO+++26pYxk5ciQ8PDzw119/ISoqCh07dkTdunWLLC+XyyGXy0tdPxEREVE+toxWEEdHRxgaGuL48ePiuQcPHuDq1asAgKZNm0KpVOL27duoX7++2mFtbV2mezVt2hSzZ8/G0aNH0bhxY2zatKnQckZGRlAqlQXOu7m5oXnz5li3bh02bdqEESNGlOn+RERE9IJMw0dlxGS0gigUCgQEBGD69Ok4dOiQ2PWdvx+ss7MzBg8ejKFDh2Lbtm24ceMGTpw4gdDQUOzZs6dU97hx4wZmz56N+Ph43Lx5E/v370dSUhJcXFwKLW9vb48///wTV65cwd27d5GXlye+N3LkSHz++ecQBAEffPDB638ARERERIVgMlqBli5dijZt2qBHjx7w9fVF69at4enpKb4fFRWFoUOHYtq0aWjQoAF69+6NkydPFjoBqTCmpqa4fPky+vbtC2dnZ4wePRrjx4/HmDFjCi0/atQoNGjQAM2bN0f16tURFxcnvjdo0CAYGBhg0KBBMDY2fr0HJyIieltxzGiJZMLLAw6J/l9KSgocHR1x8uRJNGvWrEzXZmVlwdLSEi22TYKBmfRjSf9OryJ1CGoM042kDkHUrN0VqUMQ/ZluK3UI6hIspI7gXzrUN3fp41VSh6Cm0ZfjpA5B9MQxV+oQRM4Bp6QOQU1O1xZShwAAeJ73DPEHFiAzMxMWFtr9Hs//Xdho7GLoyzXTqKPMeYaLaz6pkPgrEicwkZq8vDzcu3cPc+fOxbvvvlvmRJSIiIioLJiMkpq4uDh06NABzs7O+PHHH6UOh4iI6M2mye71StqXzWSU1LRv3x4cuUFEREQVhckoERERkTaxjadYnE1PRERERJJhyygRERGRlsiEF4em6qqMmIwSERERaQsnMJWI3fREREREJBm2jBIRERFpCbvpS8aWUSIiIiKSDFtGiYiIiLSFY0ZLxGSUtEYWXQ0yQ83sx/tauiuljkBN7dg8qUMQ/XOivtQhiAR33fpxZJauOz/15VkqqUMQ6dJe8ABwMXCV1CGIHLaNkToE0fUlXlKHoMYwSyZ1CAAAZY4SOFCx92Q3fcnYTU9EREREktGtpggiIiKiyoTd9CViyygRERERSYYto0RERETawpbRErFllIiIiIgkw5ZRIiIiIi3hbPqSMRklIiIi0hZ205eI3fREREREJBm2jBIRERFpiUwQIBM006SpqXp0DVtGiYiIiEgybBklIiIi0haOGS0Rk1EiIiIiLeFs+pKxm54AAO3bt8fkyZMLnI+OjoaVlVWFx0NERERvB7aMEhEREWkLu+lLxGT0LdG+fXs0btwYAPDtt9/C0NAQH3/8MRYuXAiZTCZxdERERPS2Yjf9W2Tjxo0wMDDAiRMnEBkZifDwcPz3v/997XpzcnKQlZWldhAREdG/Y0Y1dVRGTEbfInZ2dli+fDkaNGiAwYMHY8KECVi+fLn4/qpVq6BQKNSOsWPHllhvaGgoLC0txcPOzk6bj0FERPTmEDR8aMn9+/cxePBgWFhYwMrKCgEBAcjOzi62/IQJE9CgQQOYmJigTp06mDhxIjIzM8t8byajb5F3331XrUvey8sLSUlJUCqVAIDBgwcjISFB7Vi4cGGJ9c6ePRuZmZnikZaWprVnICIiIs0bPHgwLl68iAMHDmD37t347bffMHr06CLL//PPP/jnn38QFhaGCxcuIDo6GjExMQgICCjzvTlmlESWlpaoX7++2rkaNWqUeJ1cLodcLtdWWERERG+sN2Fpp8TERMTExODkyZNo3rw5AGDlypXo1q0bwsLCYGtrW+Caxo0b46effhJfOzo64rPPPsNHH32E58+fw8Cg9CkmW0bfIsePH1d7fezYMTg5OUFfX1+iiIiIiKisXp2nkZOT81r1xcfHw8rKSkxEAcDX1xd6enoFcofiZGZmwsLCokyJKMBk9K2SmpqKqVOn4sqVK/j++++xcuVKTJo0SeqwiIiIKi8tjBm1s7NTm6sRGhr6WiFmZGQU6Ak1MDBA1apVkZGRUao67t69i0WLFhXbtV8UdtO/RYYOHYqnT5+iZcuW0NfXx6RJk8r1n4aIiIikk5aWBgsLC/F1UUPlZs2ahSVLlhRbV2Ji4mvHk5WVhe7du8PV1RXBwcFlvp7J6FvE0NAQERERWL16dYH3YmNjC73G398f/v7+2g2MiIioEtP0WE8LCwu1ZLQo06ZNK/F3uIODA6ytrXH79m2188+fP8f9+/dhbW1d7PWPHj1Cly5dYG5uju3bt8PQ0LDEuF7FZJSIiIhIWwThxaGpusqgevXqqF69eonlvLy88PDhQ5w+fRqenp4AgEOHDkGlUqFVq1ZFXpeVlQU/Pz/I5XLs2rULxsbGZYovH8eMEhEREb3FXFxc0KVLF4waNQonTpxAXFwcAgMDMXDgQHEm/d9//42GDRvixIkTAF4kop07d8bjx4+xfv16ZGVlISMjAxkZGeKSkaXFltG3RFHd8ERERKQ9b8LSTgDwv//9D4GBgejUqRP09PTQt29frFixQnw/Ly8PV65cwZMnTwAAZ86cEWfav7os5I0bN2Bvb1/qezMZJSIiInrLVa1aFZs2bSryfXt7ewgvDRNo37692uvXwWSUiIiISFs0uY1nJd2bnskoERERkZbIVC8OTdVVGXECExERERFJhi2jRERERNrCbvoSsWWUiIiIiCTDllEiIiIiLXlTlnaSEpNRIiIiIm2RcAemNwWTUdKajPdzoWeqAyNBHpd9n1xtSvfWnW87i2Td+cFm1PSB1CGoMUi2lDoEkX6u7nydnjjmSh2CGodtY6QOQXS9z9dShyBqvGKc1CGoURpJHcELgr7UEVBhdOe3IhEREVElw276kulAsxURERERva3YMkpERESkLVzaqURsGSUiIiIiybBllIiIiEhLOGa0ZExGiYiIiLSFSzuViN30RERERCQZtowSERERaQm76UvGllEiIiIikgxbRomIiIi0hUs7lYjJKBEREZGWsJu+ZOymryD29vaIiIgodfmUlBTIZDIkJCRoLSYiIiIiqTEZreTat2+PyZMnSx0GERHR20klaPaohJiMEhEREZFkmIyWwY8//gg3NzeYmJjgnXfega+vLx4/flxo62Pv3r3h7+9fZF0ymQyrV69G165dYWJiAgcHB/z4448Fyl2/fh0dOnSAqakp3N3dER8fL7537949DBo0CLVq1YKpqSnc3Nzw/fffi+/7+/vjyJEjiIyMhEwmg0wmQ0pKCgDgwoUL6Nq1KxQKBWrWrIkhQ4bg7t27JT4rERERlYGg4aMSYjJaSunp6Rg0aBBGjBiBxMRExMbGok+fPhBeYzeEefPmoW/fvjh37hwGDx6MgQMHIjExUa3MnDlzEBQUhISEBDg7O2PQoEF4/vw5AODZs2fw9PTEnj17cOHCBYwePRpDhgzBiRMnAACRkZHw8vLCqFGjkJ6ejvT0dNjZ2eHhw4fo2LEjmjZtilOnTiEmJga3bt1C//79tfasREREbyMZ/p3E9NqH1A+jJZxNX0rp6el4/vw5+vTpg7p16wIA3NzcXqvOfv36YeTIkQCARYsW4cCBA1i5ciVWrVollgkKCkL37t0BACEhIWjUqBGuXbuGhg0bolatWggKChLLTpgwAfv27cPWrVvRsmVLWFpawsjICKamprC2thbLffnll2jatCkWL14sntuwYQPs7Oxw9epVZGdnl+lZc3JykJOTI77Oysp6rc+FiIiI3h5sGS0ld3d3dOrUCW5ubujXrx/WrVuHBw8evFadXl5eBV6/2jLapEkT8d82NjYAgNu3bwMAlEolFi1aBDc3N1StWhUKhQL79u1Dampqsfc9d+4cDh8+DIVCIR4NGzYEACQnJ5f5WUNDQ2FpaSkednZ2pf8QiIiIKrP8vek1dVRCTEZLSV9fHwcOHMAvv/wCV1dXrFy5Eg0aNMCNGzegp6dXoAs7Ly9PI/c1NDQU/y2TvWigV6lUAIClS5ciMjISM2fOxOHDh5GQkAA/Pz/k5uYWW2d2djZ69OiBhIQEtSMpKQlt27Yt9lkLM3v2bGRmZopHWlqaRp6diIiIKj8mo2Ugk8ng4+ODkJAQnD17FkZGRti+fTuqV6+O9PR0sZxSqcSFCxdKrO/YsWMFXru4uJQ6nri4OPTq1QsfffQR3N3d4eDggKtXr6qVMTIyglKpVDvXrFkzXLx4Efb29qhfv77aYWZmVuyzFkYul8PCwkLtICIiIg2OF9Xg4vm6hsloKR0/fhyLFy/GqVOnkJqaim3btuHOnTtwcXFBx44dsWfPHuzZsweXL1/Gxx9/jIcPH5ZY5w8//IANGzbg6tWrWLBgAU6cOIHAwMBSx+Tk5IQDBw7g6NGjSExMxJgxY3Dr1i21Mvb29jh+/DhSUlJw9+5dqFQqjB8/Hvfv38egQYNw8uRJJCcnY9++fRg+fDiUSmWxz0pERESkSZzAVEoWFhb47bffEBERgaysLNStWxfLli1D165dkZeXh3PnzmHo0KEwMDDAlClT0KFDhxLrDAkJwebNmzFu3DjY2Njg+++/h6ura6ljmjt3Lq5fvw4/Pz+Ymppi9OjR6N27NzIzM8UyQUFBGDZsGFxdXfH06VPcuHED9vb2iIuLw8yZM9G5c2fk5OSgbt266NKlC/T09Ip9ViIiIioD7k1fIiajpeTi4oKYmJhC3zM0NMSqVavUZsG/Kn99z5fZ2tpi//79hZa3t7cvMA7VyspK7VzVqlWxY8eOYuN2dnZWW5s0n5OTE7Zt21boNcU9KxEREZWeTBAg09DEI03Vo2vYTU9EREREkmHLKBEREZG2qP7/0FRdlRCTUYlwNyMiIiIiJqNEREREWsMxoyVjMkpERESkLZxNXyJOYCIiIiIiybBllIiIiEhbNLmnfCXtpmfLKBERERFJhi2jRERERFqiyT3lK+ve9ExGiYiIiLSF3fQlYjc9ERER0Vvu/v37GDx4MCwsLGBlZYWAgABkZ2eX6lpBENC1a1fIZLIStykvDFtGSWvMT5pA38hY6jCgNJE6AnUqHfquM0/LkToEkdE3FlKHoCbXTCZ1CP/SoVCcA05JHYKa60u8pA5B1HjFOKlDEF2YuErqENR4nesrdQgAAOXjiv+ZJ1O9ODRVl7YMHjwY6enpOHDgAPLy8jB8+HCMHj0amzZtKvHaiIgIyGTl/0GlQ78WiYiIiKiiJSYmIiYmBidPnkTz5s0BACtXrkS3bt0QFhYGW1vbIq9NSEjAsmXLcOrUKdjY2JTr/uymJyIiItKW/DGjmjoAZGVlqR05Oa/X4hsfHw8rKysxEQUAX19f6Onp4fjx40Ve9+TJE3z44Yf46quvYG1tXe77MxklIiIieoPY2dnB0tJSPEJDQ1+rvoyMDNSoUUPtnIGBAapWrYqMjIwir5syZQq8vb3Rq1ev17o/u+mJiIiItEUL24GmpaXBwuLfcfZyubzQ4rNmzcKSJUuKrTIxMbFcoezatQuHDh3C2bNny3X9y5iMEhEREWmJTBAg09CSTPn1WFhYqCWjRZk2bRr8/f2LLePg4ABra2vcvn1b7fzz589x//79IrvfDx06hOTkZFhZWamd79u3L9q0aYPY2NgS48vHZJSIiIioEqpevTqqV69eYjkvLy88fPgQp0+fhqenJ4AXyaZKpUKrVq0KvWbWrFkYOXKk2jk3NzcsX74cPXr0KFOcTEaJiIiItOUNWPTexcUFXbp0wahRo7BmzRrk5eUhMDAQAwcOFGfS//333+jUqRO++eYbtGzZEtbW1oW2mtapUwf16tUr0/05gYmIiIjoLfe///0PDRs2RKdOndCtWze0bt0aa9euFd/Py8vDlStX8OTJE43fmy2jRERERNoiANDUYvVa3A20atWqxS5wb29vD6GEltmS3i8Kk1EiIiIiLdHGBKbKht30RERERCQZtowSERERaYsADU5g0kw1uoYtozomJSUFMpkMCQkJOlWfvb09IiIiNBITERERUT62jBIRERFpyxuwtJPUmIwSERERaYsKgEyDdVVC7KaXQExMDFq3bg0rKyu88847eP/995GcnFxk+YsXL+L999+HhYUFzM3N0aZNG7G8SqXCwoULUbt2bcjlcnh4eCAmJqZAHdevX0eHDh1gamoKd3d3xMfHq73/008/oVGjRpDL5bC3t8eyZcs0+9BEREREhWAyKoHHjx9j6tSpOHXqFA4ePAg9PT188MEHUKkK/snz999/o23btpDL5Th06BBOnz6NESNG4Pnz5wCAyMhILFu2DGFhYfjzzz/h5+eHnj17IikpSa2eOXPmICgoCAkJCXB2dsagQYPEOk6fPo3+/ftj4MCBOH/+PIKDgzFv3jxER0eX6nlycnKQlZWldhAREdG/Sztp6qiM2E0vgb59+6q93rBhA6pXr45Lly5BoVCovffVV1/B0tISmzdvhqGhIQDA2dlZfD8sLAwzZ87EwIEDAQBLlizB4cOHERERga+++kosFxQUhO7duwMAQkJC0KhRI1y7dg0NGzZEeHg4OnXqhHnz5on1X7p0CUuXLoW/v3+JzxMaGoqQkJCyfxBERET01mPLqASSkpIwaNAgODg4wMLCAvb29gCA1NTUAmUTEhLQpk0bMRF9WVZWFv755x/4+Pionffx8UFiYqLauSZNmoj/trGxAQDcvn0bAJCYmFhoHUlJSVAqlSU+z+zZs5GZmSkeaWlpJV5DRET0VsifwKSpoxJiy6gEevTogbp162LdunWwtbWFSqVC48aNkZubW6CsiYmJRu75cjIrk70YSV3YsIDykMvlkMvlGqmLiIiI3i5sGa1g9+7dw5UrVzB37lx06tQJLi4uePDgQZHlmzRpgt9//x15eXkF3rOwsICtrS3i4uLUzsfFxcHV1bXUMbm4uBRah7OzM/T19UtdDxEREb2CLaMlYjJawapUqYJ33nkHa9euxbVr13Do0CFMnTq1yPKBgYHIysrCwIEDcerUKSQlJeHbb7/FlStXAADTp0/HkiVLsGXLFly5cgWzZs1CQkICJk2aVOqYpk2bhoMHD2LRokW4evUqNm7ciC+//BJBQUGv/bxERERvNSajJWI3fQXT09PD5s2bMXHiRDRu3BgNGjTAihUr0L59+0LLv/POOzh06BCmT5+Odu3aQV9fHx4eHuIYz4kTJyIzMxPTpk3D7du34erqil27dsHJyanUMTVr1gxbt27F/PnzsWjRItjY2GDhwoWlmrxERERE9DqYjErA19cXly5dUjsnvPTXjvDKXz5NmjTBvn37Cq1LT08PCxYswIIFCwp9397evkB9VlZWBc717du3wCz/l6WkpBT5HhERERWBi96XiN30RERERCQZtowSERERaYkmF6vnovdEREREVDaanHhUSZNRdtMTERERkWTYMkpERESkLSoBkGmoRVPFllEiIiIiIo1iyygRERGRtnDMaImYjBIRERFpjSZ3TqqcySi76YmIiIhIMmwZJSIiItIWdtOXiC2jRERERCQZtoyS1gh6gKAvdRSAVfJzqUNQc6uFDnwo/++2p7HUIYjM0nVr0+UsR01tJv36DLN050e1XtcWUoegxjBLd75OSiOpI/iX17m+UoegJt79J6lDAABkPVKhSkXfVCVAY2M9ubQTEREREZFm6c6f20RERESVjaB6cWiqrkqIySgRERGRtnACU4nYTU9EREREkmHLKBEREZG2cAJTidgySkRERESSYcsoERERkbZwzGiJmIwSERERaYsADSajmqlG17CbnoiIiIgkw5ZRIiIiIm1hN32J2DJKRERERJJhMlqJBQcHw8PDQ3zt7++P3r17SxYPERHRW0el0uxRCbGb/i0SGRkJ4aUm/vbt28PDwwMRERHSBUVERERvNbaMvkUsLS1hZWUldRhERERvj/wxo5o6tOT+/fsYPHgwLCwsYGVlhYCAAGRnZ5d4XXx8PDp27AgzMzNYWFigbdu2ePr0aZnuzWRUIo8fP8bQoUOhUChgY2ODZcuWoX379pg8eTIAQCaTYceOHWrXWFlZITo6Wnw9c+ZMODs7w9TUFA4ODpg3bx7y8vKKvOfL3fT+/v44cuQIIiMjIZPJIJPJcOPGDdSvXx9hYWFq1yUkJEAmk+HatWuaeHQiIqK3xxuSjA4ePBgXL17EgQMHsHv3bvz2228YPXp0sdfEx8ejS5cu6Ny5M06cOIGTJ08iMDAQenplSy/ZTS+R6dOn48iRI9i5cydq1KiBTz75BGfOnFEb41kSc3NzREdHw9bWFufPn8eoUaNgbm6OGTNmlHhtZGQkrl69isaNG2PhwoUAgOrVq2PEiBGIiopCUFCQWDYqKgpt27ZF/fr1C60rJycHOTk54uusrKxSPwMRERFJKzExETExMTh58iSaN28OAFi5ciW6deuGsLAw2NraFnrdlClTMHHiRMyaNUs816BBgzLfny2jEsjOzsb69esRFhaGTp06wc3NDRs3bsTz58/LVM/cuXPh7e0Ne3t79OjRA0FBQdi6dWuprrW0tISRkRFMTU1hbW0Na2tr6Ovrw9/fH1euXMGJEycAAHl5edi0aRNGjBhRZF2hoaGwtLQUDzs7uzI9BxERUaWlEjR74EWjz8vHyw1C5REfHw8rKysxEQUAX19f6Onp4fjx44Vec/v2bRw/fhw1atSAt7c3atasiXbt2uGPP/4o8/2ZjEogOTkZubm5aNWqlXiuatWqZf5rYsuWLfDx8YG1tTUUCgXmzp2L1NTU14rN1tYW3bt3x4YNGwAAP//8M3JyctCvX78ir5k9ezYyMzPFIy0t7bViICIioqLZ2dmpNQKFhoa+Vn0ZGRmoUaOG2jkDAwNUrVoVGRkZhV5z/fp1AC9W7hk1ahRiYmLQrFkzdOrUCUlJSWW6P5NRHSWTydRmvgNQGw8aHx+PwYMHo1u3bti9ezfOnj2LOXPmIDc397XvPXLkSGzevBlPnz5FVFQUBgwYAFNT0yLLy+VyWFhYqB1EREQECIJKowcApKWlqTUCzZ49u9B7z5o1S5wXUtRx+fLlcj2X6v+XmRozZgyGDx+Opk2bYvny5WjQoIHYoFVaHDMqAUdHRxgaGuL48eOoU6cOAODBgwe4evUq2rVrB+DF+M309HTxmqSkJDx58kR8ffToUdStWxdz5swRz928ebNMcRgZGUGpVBY4361bN5iZmWH16tWIiYnBb7/9VqZ6iYiI6P8J/3ava6QuoNQNP9OmTYO/v3+xZRwcHGBtbY3bt2+rnX/+/Dnu378Pa2vrQq+zsbEBALi6uqqdd3FxKXMvLZNRCSgUCgQEBGD69Ol45513UKNGDcyZM0dt9lnHjh3x5ZdfwsvLC0qlEjNnzoShoaH4vpOTE1JTU7F582a0aNECe/bswfbt28sUh729PY4fP46UlBQoFApUrVoVenp64tjR2bNnw8nJCV5eXhp7diIiIqoY1atXR/Xq1Uss5+XlhYcPH+L06dPw9PQEABw6dAgqlUptSOHL7O3tYWtriytXrqidv3r1Krp27VqmONlNL5GlS5eiTZs26NGjB3x9fdG6dWvxPwAALFu2DHZ2dmjTpg0+/PBDBAUFqXWV9+zZE1OmTEFgYCA8PDxw9OhRzJs3r0wxBAUFQV9fH66urqhevbraXzIBAQHIzc3F8OHDX/9hiYiI3lZvwNJOLi4u6NKlC0aNGoUTJ04gLi4OgYGBGDhwoDiT/u+//0bDhg3FCc4ymQzTp0/HihUr8OOPP+LatWuYN28eLl++jICAgDLdXya8OjCRJKNLOyL9/vvv6NSpE9LS0lCzZs0yXZuVlQVLS0u4jlkMfbmxliIsPYu0sq1SoG23WuhLHYJIfl8mdQgis3Td2ubuobPu/K1uqEOrpVVNLHotYyncbmZYcqEKIujOtzasvG5JHYKaePefpA4BAJD1SIUqzteRmZmp9fkN+b8LO1kOgYHMSCN1PhdycTDzW63Ef//+fQQGBuLnn3+Gnp4e+vbtixUrVkChUAAAUlJSUK9ePRw+fBjt27cXr/v888/x1Vdf4f79+3B3d8cXX3yB1q1bl+ne7KYnNTk5Obhz5w6Cg4PRr1+/MieiRERE9BKVCpBp6I9tQXt/tFetWhWbNm0q8n17e/sCE6uBF5OkXl5ntDx0509/0gnff/896tati4cPH+KLL76QOhwiIqI32xvQTS81tozqkNjYWKlDgL+/f4kz74iIiIg0hckoERERkZYIKhUEDXXTC1rsppcSu+mJiIiISDJsGSUiIiLSFkEAoNlF7ysbtowSERERkWTYMkpERESkLSoBkLFltDhMRomIiIi0RRAAaGqd0cqZjLKbnoiIiIgkw5ZR0rj8HRqUuc8kjuSF53m6tR2o6pnu7BmozNGd7UCVebq1ZInyme78ra6XI3UE/3qep1vbgSpzlFKHINKl7UCVj3XoPw1ebMOpC7KyX8RRkTuhCyoBgoa66SvrDu5MRknjHj16BAC4ErVQ4kh01G6pAyCqRA5IHQCVRhWpA3jFo0ePYGlpKXUY9P+YjJLG2draIi0tDebm5pDJyt/ylpWVBTs7O6SlpcHCwkKDETKWyhoPY3kz4mEsb0Y8lTEWQRDw6NEj2NraajC6km6qgubGjOpGC7OmMRkljdPT00Pt2rU1Vp+FhYXkPwjzMZai6VI8jKVouhQPYymaLsVT2WKp6BZRdtOXTHcGRRERERHRW4cto0RERETawm76EjEZJZ0ll8uxYMECyOVyqUNhLMXQpXgYS9F0KR7GUjRdioexaMZz5GlsN9Dn0K3VLDRFJlTWAQhEREREEnn27Bnq1auHjIwMjdZrbW2NGzduwNjYWKP1SonJKBEREZEWPHv2DLm5uRqt08jIqFIlogCTUSIiIiKSEGfTExEREZFkmIwSERERkWSYjJLOWLBgAW7evCl1GACAqKgoPHnyROowdE5eXh5GjBiBGzduSB2KzsrNzcWVK1fw/PlzqUNBcnIy5s6di0GDBuH27dsAgF9++QUXL16UODIion9xzCjpDA8PD1y4cAHt2rVDQEAA+vbtK9kyHjVr1sTTp0/Rr18/BAQEwNvbu0Lvv2vXrlKX7dmzpxYjKcjS0hIJCQmoV69ehd63tJRKJc6fP4+6deuiSpWK2xH7yZMnmDBhAjZu3AgAuHr1KhwcHDBhwgTUqlULs2bNqrBYAODIkSPo2rUrfHx88NtvvyExMREODg74/PPPcerUKfz4448VGs/hw4fRoUOHCr3nm+Dp06cQBAGmpqYAgJs3b2L79u1wdXVF586dJY5OWtevX4eDg4PUYVAFYDJKOuXs2bOIiorC999/j+fPn2PgwIEYMWIEWrRoUaFxPH/+HD///DOio6Pxyy+/wMHBAcOHD8ewYcNgbW2t9fvr6al3WshkMrVt4GQymfhvpVKp9XheNmzYMHh4eGDKlCkVet+iTJ48GW5ubggICIBSqUS7du1w9OhRmJqaYvfu3Wjfvn2FxDFp0iTExcUhIiICXbp0wZ9//gkHBwfs3LkTwcHBOHv2bIXEkc/Lywv9+vXD1KlTYW5ujnPnzsHBwQEnTpxAnz598Ndff1VoPHK5HLVr1xa/j+zs7Cr0/rqqc+fO6NOnD8aOHYuHDx+iYcOGMDQ0xN27dxEeHo6PP/5Y6zGsWLGi1GUnTpyoxUjU6enpiY0T//nPfyrdDHJ6iUCkg3Jzc4WffvpJeP/99wVDQ0PBzc1NiIiIEB4+fFjhsWRkZAhhYWGCm5ubYGhoKPTo0UPYsWOHoFQqK+T+Bw4cEJo1aybExMQImZmZQmZmphATEyM0b95c2L9/f4XE8LJFixYJVlZWQt++fYXFixcLkZGRakdFq1WrlnDy5ElBEARh+/btgq2trXDlyhVh7ty5gre3d4XFUadOHSE+Pl4QBEFQKBRCcnKyIAiCkJSUJJibm1dYHPnMzMyE69evF4jnxo0bglwur/B47ty5I4SHhwvu7u6CgYGB0LlzZ2HLli1CTk5OhcZhZWUlVKlSpcSjorzzzjvChQsXBEEQhHXr1glNmjQRlEqlsHXrVqFhw4YVEoO9vX2pjnr16lVIPPnOnj0rTJw4UahevbpgaWkpjB49Wjh+/HiFxkAVgy2jpJNyc3Oxfft2bNiwAYcOHYK3tzf++ecf3Lp1C+vWrcOAAQMqNJ7jx49jw4YN2LhxI2xsbPDgwQNUqVIFUVFRWm95a9y4MdasWYPWrVurnf/9998xevRoJCYmavX+ryque14mk+H69esVGA1gbGyMa9euoXbt2hg9ejRMTU0RERGBGzduwN3dHVlZWRUSh6mpKS5cuAAHBwe1lshz586hbdu2yMzMrJA48tWuXRtbt26Ft7e3Wjzbt29HUFAQkpOTKzSel505c0bsAQGADz/8EAEBAXB3d9f6vfOHUQCAIAj4+OOPsXDhQtSoUUOt3LBhw7QeC/Di/83ly5dRp04d9O/fH40aNcKCBQuQlpaGBg0acOw6XvRU7dq1C9HR0YiJiYGzszNGjBiBIUOGoHr16lKHR5ogcTJMpObUqVPC+PHjhapVqwo2NjbCzJkzhaSkJPH9FStWCDVq1KiQWDIyMoSlS5cKrq6ugrGxsTBw4EDhwIEDgiAIQnZ2tjBjxgyhTp06Wo/D2NhYOH/+fIHz586dE4yNjbV+f11Xp04dYd++fcLz588FOzs7Yffu3YIgCMKFCxcEKyurCoujTZs2wooVKwRBeNESmd8qGRgYKPj5+VVYHPmmTZsmtG7dWkhPTxfMzc2FpKQk4Y8//hAcHByE4ODgCo/nVX///bewYMECQS6XC2ZmZoK+vr7QunVrsZWworzcaiwFNzc3ITIyUkhNTRUsLCyEo0ePCoLw4mdhzZo1JYtLEARBpVIJKpVK0hhe9uzZMyE8PFyQy+WCTCYT5HK5MGTIEOGff/6ROjR6TUxGSWc0btxYMDAwELp16yZs375deP78eYEyd+7cEWQymdZjyR8e0KhRI2H58uXCvXv3CpS5detWhcTSpk0b4b333hMyMjLEcxkZGULnzp2Ftm3bav3+um7BggWCpaWl0LBhQ6FOnTrCs2fPBEEQhPXr1wvvvvtuhcXx+++/CwqFQhg7dqxgbGwsTJo0SXjvvfcEMzMz4dSpUxUWR76cnBxh5MiRgoGBgSCTyQRDQ0NBT09P+Oijjwr93qoIubm5wg8//CB07dpVMDAwEN59911h3bp1QnZ2tnDjxg1h8ODBgouLS4XGJHUy+sMPP4hfG19fX/H84sWLhS5dukgS08aNG4XGjRsLcrlckMvlgpubm/DNN99IEosgCMLJkyeFjz/+WKhSpYpQu3ZtYc6cOcL169eF3377TejUqZPQokULyWIjzWA3PemMRYsWYcSIEahVq5bUoSAgIAAjR46El5dXkWUEQUBqairq1q2r1ViuXbuGDz74AFevXhUnfaSlpcHJyQk7duxA/fr1tXr/wvz111/YtWsXUlNTC2x1Fx4eXuHx/Pjjj0hLS0O/fv1Qu3ZtAC+6Y62srNCrV68KiyM5ORmff/45zp07h+zsbDRr1gwzZ86Em5tbhcXwqtTUVFy4cAHZ2dlo2rQpnJycJIljwoQJ+P777yEIAoYMGYKRI0eicePGamUyMjJga2sLlUpVYXG9PIRBKhkZGUhPT4e7u7s4efHEiROwsLBAw4YNKzSW8PBwzJs3D4GBgfDx8QEA/PHHH/jqq6/w6aefVujExfDwcERFReHKlSvo1q0bRo4ciW7duqlN8Pzrr79gb2+vE0up0WuQNhcm+ldISIjw+PHjAuefPHkihISEVGgsGzduFFvYXpaTkyNs3LixQmMRhBfdZfv27RMnCe3fv1+y7rNff/1VMDU1FVuyPTw8BCsrK8HS0lLo0KGDJDHle/r0qaT3p6J17NhR2LRpU6HfV/ny8vKE2NjYCoxK+pbRfElJSUJMTIzw5MkTQRAEyb6/7e3tC/0ZFx0dLdjb21doLPXr1xcWL15cbDd8Tk6OEB0dXYFRkTawZZR0hr6+PtLT0wtMJLh37x5q1KhRoUsY6VIsuqZly5bo2rUrQkJCxFalGjVqYPDgwejSpUuFLEXzMqVSicWLF2PNmjW4deuWuL7nvHnzYG9vj4CAAK3duyyToywsLLQWR76pU6eWumxFt2D/9ttv8Pb2hoGBgdr558+f4+jRo2jbtm2FxPHqZ/TVV1/ho48+gqWlpdr5ivp87t27h/79++Pw4cOQyWRISkqCg4MDRowYgSpVqmDZsmUVEkc+Y2NjXLhwoUCPS1JSEtzc3PDs2bMKiyUlJQV16tQpsNSdIAhIS0tDnTp1KiwW0i6DkosQVQxBENTWz8x37tw5VK1aVSdi+euvvwr80tKGFStWYPTo0TA2Ni5xDcCKXPcPABITE8VZ0AYGBnj69CkUCgUWLlyIXr16VXgy+tlnn2Hjxo344osvMGrUKPF848aNERERodVk1MrKqtD/J4WpiD9gXl3L9MyZM3j+/DkaNGgA4MVC/Pr6+vD09NR6LK/q0KFDoX/gZWZmokOHDhX2B96rn5G3t3eBFSBK+zXVhClTpsDQ0BCpqalwcXERzw8YMABTp06t8GS0fv362Lp1Kz755BO181u2bKnwIR6Ojo6F/p+5f/8+6tWr91Y3ClQ2TEZJclWqVIFMJoNMJoOzs3OBBd2zs7MxduzYComladOmYiydOnVSa8VRKpW4ceMGunTpovU4li9fjsGDB8PY2BjLly8vspxMJqvwZNTMzEwcJ2pjY4Pk5GQ0atQIAHD37t0KjQUAvvnmG6xduxadOnVS+3/i7u6Oy5cva/Xehw8fFv+dkpKCWbNmwd/fXxxrHB8fj40bNyI0NFSrcRQWT3h4OMzNzbFx40ZxJ6oHDx5g+PDhaNOmTYXE87Ki/sC7d+8ezMzMKiyOlz+jfPkdhBWZhObbv38/9u3bJ451zufk5CTJ9sghISEYMGAAfvvtN3HMaFxcHA4ePIitW7dWaCxFddxmZ2dzAfxKhskoSS4iIgKCIGDEiBEICQlRa3k0MjKCvb19sROJNKl3794AgISEBPj5+UGhUBSIpW/fvlqP4+W933VtH/h3330Xf/zxB1xcXNCtWzdMmzYN58+fx7Zt2/Duu+9WeDx///13oZO4VCoV8vLytHrvdu3aif9euHAhwsPDMWjQIPFcz5494ebmhrVr11bYupX5li1bhv3796ttiVqlShV8+umn6Ny5M6ZNm1YhcfTp0wfAi0TP399fbYtfpVKJP//8s8K32823fv16LF++HElJSQBeJICTJ0/GyJEjKyyGx48fi1uBvuz+/fuSbIfct29fHD9+HMuXL8eOHTsAAC4uLjhx4gSaNm1aITHkD6WQyWSYP3++2uejVCpx/PhxeHh4VEgsVDGYjJLk8n9J16tXD97e3jA0NJQslgULFgAA7O3tMWDAAP71XYjw8HBkZ2cDeNGKkp2dLXbhSTGT3tXVFb///nuBVQ3+r707j4q66v8A/h4UZF8FRQQFxAVZ1VzTEsxdE8wNl8SdTA0BrVQULTUUSqLccCNTNFHzyQ0V8TEUhFg1jN2hBDUQDMgA5/7+4Mc8jANqz+Pc79f4vM7hHLnfOef7Pjk5n7nfez/32LFj3D48gfpZ0B07diiN9+nTh2tx0+DRo0d48OCB0viDBw/wxx9/cMvR8OWSMQY9PT1oaWnJr2loaKB///4Kyyt4CQwMRGhoKJYsWaIwk+3r6wupVIr169dzyTF48GBERkZiw4YNAOoLMJlMhuDgYAwdOpRLhqf17t0bBw8eFOTewH+WUjDGkJmZCQ0NDfk1DQ0NODs7w9/fX6h4RBUE2jhFCGOMsYqKCoU/P+unpfL09GSbN29WGv/ss8/YO++8I0AicTl58iQzMDBgmzdvZtra2mzLli1s3rx5TENDg+txqV27dmUBAQFK4wEBAaxr167ccjSYOXMm69y5M4uOjmZFRUWsqKiIHTt2jFlbW7NZs2Zxz7Nu3TpWWVnJ/b7Nadu2LTt06JDS+KFDh5iJiQm3HJmZmczMzIyNHDmSaWhosHfeeYf16NGDtWvXjuXm5nLL0diTJ0/YL7/8wq5evcquXLmi8MPT7NmzW/S//S0J7aYngmq8a11NTa3JNVvs/9eaqXqxurGxMbKzs9G2bVv5OtbmlJWVqTRLY6ampoiNjVXqVZmZmYlhw4bh3r173LKI1dWrV7F+/XqF/p6BgYEYPnw4twxnzpzBxIkT0aVLF/Tr1w9Afa/InJwcREdHY/To0dyyAEB1dTX8/f2xd+9e+XKF1q1bY+7cudiyZQvXdZpiZGhoiKSkJKVNOdnZ2ejbty/Ky8u5ZamoqEB4eLjC+3fx4sUwNzfnlqFBQkICvLy8cOfOHaU1mzz+HSYtExWjRFBXrlzBoEGD0Lp1a1y5cuWZr228Pk8VDhw4gKlTp6JNmzbYv3//M4tRnuv/tLS0kJaWJt8R3eD27dtwdXXFn3/+yS0LgGYLdYlEAk1NTXTp0gWzZ8+Gt7c311xiUFRUhO3bt8s3TvXo0QOLFi2SH1YghKqqKvk59La2tlyL0F69euHSpUswMjKSbw5sTkpKCrdcQH0TfnV1daWlJf7+/vjzzz/x1VdfcckhlUphaWnZ5H8bqVTKvX2Ri4sLunbtiqCgIJibmyvlUnU3EU9PT+zfvx/6+vry9cbNOX78uEqzEH5ozSgRVOMCU9XF5vM0LjBnz54tXJCnODo64siRIwgMDFQYj4qKgr29Pfc8gYGB+PTTTzFq1Cj07dsXQP0M4Llz57B48WIUFBTAx8cHdXV1gqwFFJKlpSU2btwodAwFOjo6cHJyEuTeb7/9tnwTTsPmQDHZs2cPYmJi5BvvEhMTIZVKMWvWLIV+pKpcC21tbd1sT2Mh2hfl5OTg2LFjgpzsBtQXuw0FMI82ekQcaGaUCCojI+OFX6vqD1SxNTBv8K9//Quenp7w8vKCm5sbAODSpUs4fPgwvvvuO+4f8hMnTsRbb72l1G5r586diImJQXR0NL788kvs2rULmZmZKsnwvGUUjalySUVGRgYcHBygpqb23Pcyj4KQZpVe3ItuDpJIJIiNjVVZDjU1Ndy7dw+mpqYK43fu3IG9vT2qqqpUdu+muLm5YcWKFVxa2BHSgGZGiaBcXFwgkUia7UHYmKpnCMTWwLzBuHHjcPLkSWzcuBHHjh2DlpYWnJyccPHiRUFmk8+fP4/PPvtMadzd3V3eLmj06NH48MMPVZbhiy++kP+5tLQUn3zyCUaMGKGwK/r8+fNYs2aNyjIA9e/fkpISmJmZKbyXn8ZrrZ2YZ5WKioogkUjk/TRv3LiBQ4cOwd7eHgsWLOCep6l+ozw1bl+0Zs0aQdsXNf4itWTJEvj5+aGkpASOjo5K3U2EmmUn/2w0M0oE1bipc2pqKvz9/REQEKBQVISEhCA4OFjlM4CN16w+r4E5756RYmJlZQVfX1/4+voqjH/++ef4/PPPIZVKkZGRgeHDh6OkpETleSZOnIihQ4fi/fffVxgPDw/HxYsX5b0SVeHOnTuwsrKCRCJ5boPyp1tPtTSDBw/GggULMHPmTJSUlKBr165wcHBATk4OlixZorQM5Z+uYWb2ypUrGDBggFL7os6dO8Pf35/LqUcNm0ebKwcaTxio+kvV89YWN8Z7nTFRHSpGiWj07dsX69atU9p1fObMGaxZswY//fQTtyzu7u6YN2+eQgNzADh06BB27dqFuLg4blnEZvfu3fDx8cHo0aPla0aTkpJw5swZ7NixA3PnzkVISAhu3LiBI0eOqDyPrq4u0tLSlNa45ebmwsXFRd4TVUgvMvP/st2+fRvdu3dv8tr58+cxYsQIrnmMjIyQkJCAbt26ISwsDEeOHEF8fDxiYmKwaNEipSM5Wwpvb29s27aN69Kfp/2dk55U/aUqKCjohV/b0Bea/ANwbyZFSDM0NTXZzz//rDT+888/M01NTa5ZtLS0WHZ2ttL4L7/8wrS0tLhmqaurY1u2bGGvvfYaa9euHTMyMlL4EcKPP/7Ipk6dylxdXZmrqyubOnUqi4+PFySLlZUV27p1q9L41q1bmZWVFbcc7777bpN9NAsKCtjrr7/OLUcDLS0tFh4erjD2+PFjtnjxYtamTRvueXR0dFhBQQFjjLFx48bJe+feuXOH+//fhBBxoTWjRDR69OiBTZs2ISIiQv7IqqamBps2bUKPHj24ZrG0tMTu3bsRHBysMB4REcG9TU9QUBAiIiLg5+eH1atXY9WqVSgsLMTJkycFe7Q5aNAg+bnVQgsKCsK8efMQFxcn7++ZmJiIc+fOYffu3dxypKenw8nJCQcPHpQv7Thw4ACWLl0q33jG0/79++Hj44PTp09j3759KC4uhpeXF2QyGa5evco9T8+ePbFjxw6MGTMGFy5ckJ84dPfuXZiYmHDPIybJyck4evQopFIpampqFK4JsdEsLy8PX3zxBbKysgDUn3K2bNky2Nracs9CWgihq2FCGiQmJjIzMzNmamrK3N3dmbu7OzM1NWVmZmYsMTGRa5bTp08zTU1N5uDgwObOncvmzp3LHB0dmaamJjt9+jTXLDY2NuyHH35gjDGmq6srP5Vl27ZtbNq0aVyzMFY/k/WsHyEkJCQwLy8v+Uytl5cXS0hI4JqhpqaG+fv7Mw0NDfbRRx+xSZMmMV1dXbZr1y6uORorKipiw4YNYyYmJkxTU5MtWrSIVVVVCZLl8uXLzNDQkKmpqTFvb2/5+EcffcQ8PDwEySQGhw8fZurq6mzs2LFMQ0ODjR07lnXt2pUZGBiw2bNnc89z7tw5pqGhwfr27ct8fX2Zr68v69u3L2vTpg3XE80YE+dTIaIaVIwSUamsrGQ7d+6U/yO4a9cuwY4QlEql8g9KDw8P9vHHHzOpVMo9h7a2trzIa9++Pfvpp58YY4zl5eUxfX197nkkEglTU1Nr9qelCwwMZBKJhKmrq7Nr164JmqWoqIgNGTKEGRoaMnV1dRYUFMSePHkiWJ66ujpWVlamMFZQUMDu3bsnUCLhOTo6ypdT6Orqsry8PCaTydj8+fNZYGAg9zwuLi5s5cqVSuMrV65krq6uXLOsWbOGmZubs61btzJNTU22YcMGNnfuXGZiYsK2bdvGNQtRLSpGCRG5rl27ymf5Bg0axDZt2sQYYywqKoqZmppyz5OWlqbwk5SUxHbt2sW6d+/OoqOjuWRofF51RUXFM394qampYcuXL2dt2rRhH3/8MRsyZAhr374995n0BocPH2aGhoZs3Lhx7P79+ywmJoZZWFiwgQMHsry8PEEyEWXa2trytbTGxsYsIyODMVa/Vr59+/bc87Rp06bZ9fK81xqL7akQUR1aM0oEderUKYwaNQrq6uo4derUM187fvx4lWYRWwPzBh4eHrh06RL69euHJUuWYMaMGdizZw+kUqlSeyUenJ2dlcb69OmDDh06YMuWLc9ttv4yGBkZyU+taa4/LOPUiqZBnz59UF1djbi4OPTv3x+MMQQHB8PT0xNz5szB119/zSVHg7lz52Lr1q3w8fEBALz11lvIyMjAokWL4OLi8rcOeXgZ7t27B39/f1y6dAn3799XaiPUUs88NzIywh9//AEAsLCwwM2bN+Ho6Ijy8nJUV1dzz2Nqaoq0tDSlllJpaWlKp0SpWkOvU6C+a0ZFRQUAYOzYsSrvIUz4omKUCGrChAnypuHP6iPKo6gQWwPzBps3b5b/ecqUKejUqROuXbsGOzs7jBs3jluO5+nWrRuSkpK43Cs2NhbGxsYAhG9e3qBPnz4ICwuTn/0ukUiwcuVKDB8+HDNnzuSeJyUlBd26dVMYMzY2xtGjR/HNN99wzzN79mxIpVKsWbOmyTPPW6ohQ4bgwoULcHR0xKRJk7Bs2TLExsbiwoULcHd3555n/vz5WLBgAfLz8zFw4EAAQHx8PD777DOFI1J56NixI4qLi2FlZQVbW1vExMSgV69eSEpKkh8zS/4ZqM8oIf+PGpi/mKdn1BhjKC4uxrp163D79m2kpaVxy1JXV4eNGzdizpw58pN9xOivv/4S7MPzp59+UtgV3atXL0Fy6Onp4erVq9xOFXpVlJWV4fHjx+jQoQNkMhmCg4PlXzZXr14NIyMjrnkYY/jiiy8QEhKCu3fvAgA6dOiAgIAALF26lOuXiA8//BD6+vr4+OOPceTIEcyYMQOdO3eWPxVq/EWdvNqoGCWE/C0Np7U0xhiDpaUloqKi5G2NeNHT00NmZiY6d+7M9b5NuXLlCrZu3apQ/AUEBGDw4MHcs9y/fx9Tp05FXFwcDA0NAQDl5eUYOnQooqKilM5CVzV7e3t8++23cHV15Xpf8t9rWD6gp6cncJJ6169fx/Xr10X3VIj876gYJaKxdOlSdOnSBUuXLlUYDw8PR25ursJ55Kq2adMmtGvXDnPmzFEY37t3Lx48eICVK1dyyyI2jY9NBeqLU1NTU3Tp0gWtW/Nf+fP222/D09NT8CNaDx48CG9vb3h6esp7sMbHx+PEiRPYv38/vLy8uOaZMmUK8vPzERkZKe/T+/PPP+Pdd99Fly5dcPjwYa55YmJiEBISgp07d4rii4OYyGQy5Obm4v79+5DJZArXhgwZwjVLQUEB6urqlNaM5uTkQF1dnf7uiEpQMUpEw8LCAqdOnULv3r0VxlNSUjB+/Hj8+uuv3LJ07twZhw4dkq+ZapCYmIipU6eioKCAWxbybDt27EBQUBCmT5+O3r17y9dsNlD1xrcGPXr0wIIFC5Q2lYWGhmL37t3y2VJeDAwMcPHiRbz22msK4zdu3MDw4cNRXl7ONY+RkRGqq6tRV1cHbW1tqKurK1wvKyvjmkcsEhIS4OXlhTt37iitUee9Ph0A3njjDcyZM0fpy93BgwcRERHB9SjkyMjIZ16fNWsWpyRE1agYJaKhqamJmzdvNnnGuIODAx4/fsw1S1ZWFqytrRXG8/PzYW9vzzWL2Bw4cABt27bFmDFjAAArVqzArl27YG9vj8OHD3NfT6umptbsNZ4f5m3atMGtW7dE8f4Fml+jmZqaijfeeIP7bvoDBw4887rQM9tCcXFxQdeuXREUFNTkxi4DAwOuefT19ZGSktLk+7hPnz5cv8Q8vV62trYW1dXV0NDQgLa2dov9AvNPRLvpiWh06dIF586dw/vvv68wfvbsWdjY2HDNYmlpifj4eKViND4+Hh06dOCaJSkpCTKZTH7UZYPExES0atUKffr04Zpn48aN2L59O4D6NVzh4eH44osv8MMPP8DX15f78YVPP9YUiqWlJS5duqT0IX7x4kXuR8gCgJubG5YtW4bDhw/L37O//fYbfH19Bdml3VKLzefJycnBsWPHlN43QpFIJPK1oo1VVFRwn6V9+PCh0lhOTg58fHwQEBDANQtRMd6NTQlpzp49e5iWlhYLDAxkcXFxLC4ujq1Zs4Zpa2tzP1Lxs88+YyYmJmzv3r2ssLCQFRYWsj179jATExO2ceNGrllee+019t133ymNR0dHs759+3LNwhhjWlpa8hOhVqxYwWbOnMkYY+zmzZusbdu23POIxddff800NDTYokWLWGRkJIuMjGQLFy5kbdq0YTt27OCeRyqVMhcXF6aurs5sbGyYjY0NU1dXZ66urqyoqIh7HsYYy83NZatWrWJTp06Vn7p05swZdvPmTUHyiMHQoUPZ2bNnhY4hN3bsWDZp0iRWV1cnH6urq2MTJ05kI0eOFDDZfyQlJbFu3boJHYO8RFSMElH5+uuvmYWFBZNIJEwikTBra2t24MAB7jlkMhlbsWIF09TUlB9zqa2tzYKCgrhn0dHRafLEnPz8fKarq8s9j6mpKUtJSWGM1R8dGBkZyRirLzR0dHS452GMsbi4ODZ27Fhma2vLbG1t2bhx49i///1v7jmOHz/OBg0axIyNjZmxsTEbNGgQO3nyJPccDWQyGYuJiWFhYWEsLCyMXbhwQbAscXFxTEtLiw0bNoxpaGjI39ObNm1iEydOFCyXENLT0+U/x48fZ/b29mzfvn0sOTlZ4Vp6ejr3bLdu3WImJibM1taWzZ49m82ePZvZ2toyU1NTlpmZyT1PU1JTU5menp7QMchLRGtGiSg9ePAAWlpa0NXVFTRHZWUlsrKyoKWlBTs7O0F6RZqYmOCHH35Qapl07do1jBkzpslHWao0ffp03L59G66urjh8+DCkUilMTExw6tQpfPzxx7h58ybXPGLbxU6aNmDAAEyaNAnLly+Hnp4e0tPTYWNjgxs3bsDT05PrBkWhNbRHa+7jt+GaEBuYAODu3bsIDw9Heno6tLS04OTkhPfff19+0AQvT5/Kx/6/p3F4eDgsLS1x9uxZrnmI6lAxSojITZs2DcXFxfj+++/lmxnKy8sxYcIEmJmZ4ejRo1zzlJeXY/Xq1SgqKoKPjw9GjhwJAFi7di00NDSwatUqrnnEtotdSGFhYViwYAE0NTURFhb2zNc+3UJN1XR1dZGZmQlra2uFYrSwsBDdu3dvUZsCn3eoRmMt+YCNpzcnSiQSmJqaws3NDSEhITA3NxcoGXnZqBglonLs2DEcPXoUUqkUNTU1CtdSUlK4ZklOTm42C89NOr/99huGDBmC0tJSecPwtLQ0tGvXDhcuXBBkc4yYCLmL3djYGNnZ2Wjbti2MjIyeeToNj52/1tbWSE5OhomJidLmu8YkEgny8/NVnqexjh074ujRoxg4cKBCMXrixAn4+/sjLy+Pax7yHxkZGS/8WicnJxUmIS0V7aYnohEWFoZVq1Zh9uzZ+P777+Ht7Y28vDwkJSVh8eLFXLNERUVh1qxZGDFiBGJiYjB8+HBkZ2fj3r178PDw4JrFwsICGRkZ+Pbbb+WPzby9vTFt2jSlXo0tkZC72D///HP56TQ8D2VoTuP+t2LrhTt16lSsXLkS3333HSQSCWQyGeLj4+Hv79/i+0X+8ssv+PLLL+Wz+D169MCSJUvQrVs3Lvd3cXF55rKBBryXDSxfvvyFXxsaGqrCJETVaGaUiEb37t2xdu1aTJs2TWHmJDAwEGVlZQgPD+eWxcnJCQsXLsTixYvlWaytrbFw4UKYm5sjKCiIWxbybNu3b8cHH3yAOXPmyA8piI+Px/79+7Ft2zYsXLhQ4IQEAGpqarB48WLs378fT548QevWrVFXV4fp06dj//79aNWqldARBREdHY2pU6eiT58+8nXhCQkJSEpKQlRUFCZOnKjyDGJdNjB06FCkpKSgrq5OXphnZ2ejVatW6NWrl/x1EokEsbGx3HKRl4+KUSIa2trayMrKQqdOnWBmZoYLFy7A2dkZOTk56N+/P0pLS7ll0dHRwa1bt9C5c2eYmJggLi4Ojo6OyMrKgpubG4qLi1V6/1OnTmHUqFFQV1dXWsT/NF4nDInZiRMnEBISojCzFBAQgLffflul9/07jeP19fVVmKTeqzCTVFRUhMzMTFRWVsLV1VXp2MmWxtbWFtOnT8f69esVxteuXYuDBw8Ktnzh559/VlqiJJFIuJ4JHxoairi4OBw4cEDeAP/hw4fw9vbG4MGD4efnxy0LUS16TE9Eo3379igrK0OnTp1gZWWFhIQEODs7o6Cg4LmPj142IyMjeeNnCwsL3Lx5E46OjigvL0d1dbXK7z9hwgSUlJTAzMwMEyZMaPZ1Qu22FRsPDw/uyycAwNDQ8JnrRBvj8feUmpqq8Htzs0pPH7mrKs8rjhMSEuR/bqmPWYuLi5tcpjBjxgxs2bKFe578/Hx4eHggMzNT4dF9w/uc5783ISEhiImJUTiJycjICJ988gmGDx9Oxeg/CBWjRDTc3Nxw6tQpuLq6wtvbG76+vjh27BiSk5Ph6enJNcuQIUNw4cIFODo6YtKkSVi2bBliY2Nx4cIFLqfXND5VSCwnDBFlly9flv+5sLAQH374IWbPni1/3Hr9+nUcOHAAmzZt4p4nNDQUenp6zc4q8SC24liM3nzzTVy9elVpzfOPP/7I7e+psWXLlsHa2hqXLl2CtbU1EhMTUVZWBj8/P2zdupVrlkePHuHBgwdK4w8ePGjylCjy6qLH9EQ0ZDIZZDIZWreu/44UFRWFa9euwc7ODgsXLoSGhga3LGVlZXj8+DE6dOgAmUyG4OBgeZbVq1crnZmsKrW1tRg5ciR27Ngh6ONMV1fXF54B5NH14Hk71xvjdX61u7s75s2bh2nTpimMHzp0CLt27UJcXByXHA0sLCwQExODnj17KozfvHkTw4cPx927d7nmoUeuTduxYwcCAwMxefJk9O/fH0D9jPF3332HoKAgheOHeSzJadu2LWJjY+Hk5AQDAwPcuHED3bp1Q2xsLPz8/JS+YKjSrFmzcPXqVYSEhKBv374A6o9BDggIwODBg3HgwAFuWYhqUTFKiMiZmprKC2Gh/J0NW2vXrlVhknp/50OI15no2traSE9PV/p7ys7OhouLC5flHY3p6enhX//6F958802F8cuXL2P8+PHcZ5bEVhyLxdO9NJvDa0mOkZERUlJSYG1tDVtbW0RERGDo0KHIy8uDo6Mj1/dxdXU1/P39sXfvXtTW1gIAWrdujblz52LLli3Q0dHhloWoFj2mJ0TkZsyYgT179mDz5s2CZeBRYP4dvArMv8PS0hK7d+9GcHCwwnhERIQgvWA9PDzg7e3d5KwS72UvAD1ybY7YluE4ODjIu4f069cPwcHB0NDQwK5du2BjY8M1i7a2Nr7++mts2bJFvpHL1taWitB/IJoZJUTklixZgsjISNjZ2aF3795K/xC31I0fjclkMuTm5uL+/ftKH+5DhgzhkuHMmTOYOHEiunTpgn79+gEAbty4gZycHERHR2P06NFccjQQ26wSPXJ9NZw/fx5VVVXw9PREbm4uxo4di+zsbJiYmODIkSNwc3MTOiL5B6JilBCRGzp06DOvN960wsOTJ0/w+eefN3s6Fa81mg0SEhLg5eWFO3fuKHVd4N1t4Ndff8X27dsVWkwtWrRI0FOyqqqqRDGrJLbiWEjPO6q1Md7HtjalrKzsb63TJuTvomKUEPK3BAYGIiIiAn5+fli9ejVWrVqFwsJCnDx5EoGBgdw/PF1cXNC1a1cEBQXB3Nxc6QPTwMCAax7ybGIpjoX0rKNaGxPi2FZChEDFKCHPkJubi7y8PAwZMgRaWlpgjHGfHZgzZw62bdsmP3ayQVVVFZYsWYK9e/dyzWNra4uwsDCMGTMGenp6SEtLk48lJCTg0KFDXPPo6OggPT1dqTUOIYSQVwMVo0RQYmsZ1KC0tBRTpkxBbGwsJBIJcnJyYGNjgzlz5sDIyAghISHcsrRq1QrFxcUwMzNTGP/999/Rvn171NXVccsC1Bd/WVlZsLKygrm5OU6fPo1evXohPz8frq6uqKio4JrHzc0NK1aswMiRI7nelxBCyMtBu+mJoBqfLvT48WN8/fXXsLe3Vzij+datW3jvvfe45vL19UXr1q0hlUrRo0cP+fiUKVOwfPlyLsXoo0ePwBgDYwx//PEHNDU15deePHmCM2fOKBWoPHTs2BHFxcWwsrKCra0tYmJi0KtXLyQlJaFNmzZcMmRkZMj/vGTJEvj5+aGkpASOjo5QV1dXeK2TkxOXTIT8N+bMmfPM67yffBAiBCpGiaAatwyaN28eli5dig0bNii9pqioiGuumJgYnD9/Hh07dlQYt7Ozw507d7hkaDhqUiKRoGvXrkrXJRLJ3+r/+bJ4eHjg0qVL6NevH5YsWSJvPSWVSuHr68slg4uLi8JRhYDih3rDNV4bmBhjKCoqgpmZmcKXBqHU1tZi4cKFWLNmzQuvTyTCePjwocLvtbW1uHnzJsrLy2nnOmkx6DE9EQ0DAwMkJycrNQ3PyclBnz59uD7+1dPTQ0pKCuzs7KCnp4f09HTY2NggOTkZI0aMQGlpqcozXLlyBYwxuLm5ITo6GsbGxvJrGhoa6NSpk8LpLEK5fv06rl+/Djs7O4wbN47LPf/OF4JOnTqpMEk9mUwGTU1N3Lp1S9DDCRozMDBAWloaFaOvIJlMBh8fH9ja2mLFihVCxyFE5WhmlIiGlpYW4uPjlT7M4+Pjuc82DR48GJGRkfJZWolEIj8W9Hmtll6WN954AwBQUFAAKysr0bZVGTBggHxZBS+NC8xNmzahXbt2So879+7diwcPHmDlypUqz6OmpgY7OzuUlpaKphidMGECTp48yW22mrw8ampqWL58Od58800qRkmLQMUoEY0PPvgAPj4+SElJUWiKvXfvXqxZs4ZrluDgYLi7uyM5ORk1NTVYsWIFbt26hbKyMsTHx6v8/hkZGXBwcICamhoqKiqQmZnZ7Gt5r4mMjIx85vVZs2ZxSlJv586dTe7g79mzJ6ZOncqlGAWAzZs3IyAgANu3b4eDgwOXez6LnZ0d1q9fj/j4+CYPSxBD/0rSvLy8PO6bEwkRCj2mJ6Jy9OhRbNu2TaFp+LJlyzB58mTuWSoqKhAeHo709HRUVlaiV69eWLx4MczNzVV+bzU1NZSUlMDMzAxqampK6yMb8G7qDtSfXd1YbW0tqquroaGhAW1tbe5N7zU1NZGVlaX0ODo/Px/29vZ4/PgxlxxGRkaorq5GXV0dNDQ0oKWlpXCd93+XZz2ep/6V4rF8+XKF3xljKC4uxunTp/Huu+8iPDxcoGSE8EMzo0RUJk+eLEjh2RQDAwOsWrVKkHsXFBTA1NRU/mcxeXrDBVC/rtfHxwcBAQHc81haWiI+Pl6p+IqPj+e6pvaLL77gdq8XIbb3DWlaamqqwu9qamowNTVFSEjIc3faE/JPQcUoEZXy8nIcO3YM+fn58Pf3h7GxMVJSUtCuXTtYWFio9N6N2wU9j6ofjTdeE8ljA87/ys7ODps3b8aMGTNw+/ZtrveeP38+PvjgA9TW1sp3H1+6dAkrVqyAn58ftxzvvvsut3uRf47Tp0+DMSZfRtFwmlmnTp3QujV9RJOWgd7pRDQyMjIwbNgwGBgYoLCwEPPmzYOxsTGOHz8OqVT63LWK/6um2gU1hfejcTFs0HkRrVu3xt27d7nfNyAgAKWlpXjvvfdQU1MDoP7R/cqVK/HRRx9xyyGVSp953crKilOSetS/8tUwYcIEeHp6YtGiRSgvL0f//v2hrq6O33//HaGhofDx8RE6IiEqR2tGiWgMGzYMvXr1QnBwsEI7pWvXrsHLywuFhYUqvb/Y2gU16Ny5Mw4dOoSBAwcqjCcmJmLq1KncH8eeOnVK4feGNW7h4eGwtLTE2bNnueZpUFlZiaysLGhpacHOzo5bA/4GDWt7m8N7ba+Hh4fC70/3rzx+/DjXPKRpbdu2xZUrV9CzZ09ERETgyy+/RGpqKqKjoxEYGChfP0/IPxnNjBLRSEpKws6dO5XGLSwsUFJSovL7i/VxeElJSZObpkxNTVFcXMw9T+NTs4D6mWJTU1O4ublxPSb1abq6unjttdcEu//Ta/9qa2uRmpqK0NBQfPrpp9zznDhxQmmscf9KIg7V1dXQ09MDUH/YhqenJ9TU1NC/f39uB2wQIjQqRolotGnTBo8ePVIaz87Olm/mUaVTp05h1KhRUFdXV5r9e9r48eNVnqeBWDboNJDJZNzv+SpwdnZWGuvTpw86dOiALVu2wNPTU4BUiqh/pfh06dIFJ0+ehIeHB86fPy/vC3v//n3o6+sLnI4QPqgYJaIxfvx4rF+/HkePHgVQP+MmlUqxcuVKTJw4UeX3nzBhgryd0tOzf43xXjMqlg065L/TrVs3JCUlCR1DjvpXiktgYCC8vLzg6+sLd3d3+QESMTExcHV1FTgdIXzQmlEiGhUVFXjnnXeQnJyMP/74Ax06dEBJSQkGDBiAM2fOKDXtbikYY/jwww8RFhamtEEnMDCQS4aneyE+S2hoqAqTiNfTs/oNa2nXrVuH27dvIy0tjWse6l/56igpKUFxcTGcnZ2hpqYGALhx4wb09fXRvXt3gdMRonpUjBLRiY+PV2g0P2zYMO4ZIiMjMWXKFKVNMDU1NYiKiuJ+yhAg7Aadp49ATUlJQV1dHbp16wagfilFq1at0Lt3b8TGxnLLJSZNbWBijMHS0hJRUVHcj0x98803FfI09K90c3PDnDlzqG0QIUQ0qBglonH79u1mZwHOnz+PESNGcMvSqlUrFBcXw8zMTGG8tLQUZmZm3HdGi0loaCji4uJw4MAB+WlMDx8+hLe3NwYPHtxilw5cuXJF4feG4q9Lly7cCr/G654JIeRVQcUoEQ1tbW1s2bIFixcvlo/99ddf8PPzQ0REBLdjHYH6QuLevXtKG6fS09MxdOhQ7kc7iomFhQViYmLQs2dPhfGbN29i+PDhgvQaFUqvXr1w6dIlGBkZYf369fD394e2trZgeVq1aoWSkhKYmpo2+4WKEELEhp7TENHYv38/fHx8cPr0aezbtw/FxcXw8vKCTCbD1atXuWRwdXWFRCKBRCKBu7u7wozWkydPUFBQgJEjR3LJIlaPHj3CgwcPlMYfPHiAP/74Q4BEwsnKykJVVRWMjIwQFBQEHx8fQYtRU1NTJCQkYNy4cWCMPbPvKSGEiAUVo0Q0Jk+ejIEDB8Lb2xs9e/ZEVVUVZs+ejZCQEG4f8A276NPS0jBixAjo6urKr2loaKBz585cdvaLmYeHB7y9vRESEoK+ffsCqG/AHxAQIIr2RTy5uLjA29sbr7/+Ohhj2LJli8J7pjEem80WLVqEt99+W/6Fqn379s2+tiUvNSGEiAs9piei8uuvv2L69OnIyMhAVVUVVq9ejdWrV8t3mPJy4MABTJkyBZqamlzv+yqorq6Gv78/9u7di9raWgD1R4HOnTsXW7ZsaVFdD3755ResXbsWeXl5SElJgb29fZPrQyUSCVJSUrhkun37NnJzczF+/Hjs27cPhoaGTb7u7bff5pKHEEKeh4pRIhpRUVHw8fHB4MGDsWfPHqSlpcHb2xudOnXCN998AxsbG6EjkkaqqqqQl5cHALC1tW1RRWhT1NTU5H1qxSAoKAgBAQGCLhsghJAXQcUoEQ0dHR1s3boVPj4+8rGHDx9i4cKFOHfuXJOnM6nKkydP8Pnnn+Po0aOQSqXy/p4NWvIGJkIIIeRlojWjRDRSUlLkfSsbGBkZ4ejRo/jmm2+4ZgkKCkJERAT8/PywevVqrFq1CoWFhTh58iS3RvNi4unpif3790NfX/+560KPHz/OKZXwnndsbGM8jpBt2ID3IngtGyCEkOehYpSIxtOFaGMzZ87kmAT49ttvsXv3bowZMwbr1q3DtGnTYGtrCycnJyQkJGDp0qVc8wjNwMBAXuQYGBgInEY8nnVsbGO8jpB90TyEECIm9JieCGr58uXYsGEDdHR0nnvkJM9jJnV0dJCVlQUrKyuYm5vj9OnT6NWrF/Lz8+Hq6oqKigpuWQghhJB/MpoZJYJKTU2V78hOSUlp9hEj736JHTt2RHFxMaysrGBra4uYmBj06tULSUlJXI/hFKM///wTjDH5xpg7d+7gxIkTsLe3x/DhwwVORwgh5FVDM6NEUBkZGXBwcODeuul5PvzwQ+jr6+Pjjz/GkSNHMGPGDHTu3BlSqRS+vr7YvHmz0BEFM3z4cHh6emLRokUoLy9Ht27doKGhgd9//x2hoaEKG9BakvXr1z/zOu+1xmpqas/8Ekd9RgkhYkHFKBFU4yMLbWxskJSUBBMTE6FjKbl+/TquX78OOzs7jBs3Tug4gmrbti2uXLmCnj17IiIiAl9++SVSU1MRHR2NwMBAZGVlCR1REK6urgq/19bWoqCgAK1bt4atrS33DUPff/+9Up7U1FQcOHAAQUFBmDt3Ltc8hBDSHHpMTwRlaGiIgoICmJmZobCwEDKZTOhITRowYAAGDBggdAxRqK6uhp6eHgAgJiYGnp6eUFNTQ//+/XHnzh2B0wknNTVVaezRo0eYPXs2PDw8uOdpqqn9O++8g549e+LIkSNUjBJCRINmRomgFixYgMjISJibm0MqlaJjx45o1apVk6/Nz89XaRaxtekRKycnJ8ybNw8eHh5wcHDAuXPnMGDAAPz0008YM2YMSkpKhI4oKpmZmRg3bhwKCwuFjgKg/v8jJycnVFZWCh2FEEIA0MwoEdiuXbvg6emJ3NxcLF26FPPnz5fPuvEmtjY9YhUYGAgvLy/4+vrCzc1NPmMcExOj9KiaABUVFaLpvvDnn38iLCwMFhYWQkchhBA5mhklouHt7Y2wsDDBilHy4kpKSlBcXAxnZ2f55rMbN25AX18f3bt3FzidMMLCwhR+Z4yhuLgY33zzDd544w0cOnSIax4jIyOFDUyMMfzxxx/Q1tbGwYMHW/TsPiFEXKgYJYT8V3Jzc5GXl4chQ4ZAS0sLjDHuLbjExNraWuF3NTU1mJqaws3NDR999BH3L1n79+9X+PtoyNOvXz8YGRlxzUIIIc9CxSghzbhy5Qq2bt0q3x1ub2+PgIAADB48WOBkwiotLcXkyZNx+fJlSCQS5OTkwMbGBnPmzIGRkRFCQkKEjkgIIeQVIq7mjoSIxMGDBzFs2DBoa2tj6dKlWLp0KbS0tODu7s79cavY+Pr6Ql1dHVKpVN74HgCmTJmCc+fOCZhMXB49eoSTJ08K1urq3Llz+PHHH+W/f/XVV3BxcYGXlxcePnwoSCZCCGkKzYwS0oQePXpgwYIF8PX1VRgPDQ3F7t27W2wvTQBo3749zp8/D2dnZ+jp6SE9PR02NjYtfpf25MmTMWTIELz//vv4888/4ezsjMLCQjDGEBUVhYkTJ3LN4+joiM8++wyjR49GZmYm+vTpAz8/P1y+fBndu3fHvn37uOYhhJDm0MwoIU3Iz89vsrn9+PHjUVBQIEAi8aiqqlKYEW1QVlbWoo9K/fe//y1fwnHixAkwxlBeXo6wsDB88skn3PMUFBTA3t4eABAdHY1x48Zh48aN+Oqrr3D27FnueQghpDlUjBLSBEtLS1y6dElp/OLFi7C0tBQgkXgMHjwYkZGR8t8lEglkMhmCg4MxdOhQAZMJq6KiAsbGxgDqH5FPnDgR2traGDNmDHJycrjn0dDQQHV1NYD69+3w4cMBAMbGxnj06BH3PIQQ0hzqM0pIE/z8/LB06VKkpaVh4MCBAID4+Hjs378f27ZtEzidsIKDg+Hu7o7k5GTU1NRgxYoVuHXrFsrKyhAfHy90PMFYWlri+vXrMDY2xrlz5xAVFQUAePjwITQ1Nbnnef3117F8+XIMGjQIN27cwJEjRwAA2dnZ6NixI/c8hBDSHCpGCWmCj48P2rdvj5CQEBw9ehRA/TrSI0eONHnMYkvi4OCA7OxshIeHQ09PD5WVlfD09MTixYthbm4udDzBfPDBB5g+fTp0dXXRqVMnvPnmmwDqH987OjpyzxMeHo733nsPx44dw/bt2+WN7s+ePYuRI0dyz0MIIc2hDUyEkBdWW1uLkSNHYseOHbCzsxM6juj89NNPkEqleOutt6CrqwsAOH36NAwNDTFo0CCB0xFCiDhRMUpIE+bNm4cZM2bIZ7fIf5iamuLatWtUjBJCCHkpaAMTIU148OABRo4cCUtLSwQEBCAtLU3oSKIxY8YM7NmzR+gYhBBC/iFoZpSQZjx8+BDfffcdDh06hKtXr6J79+6YPn06vLy80LlzZ6HjCWbJkiWIjIyEnZ0devfuDR0dHYXroaGhAiUjhBDyKqJilJAX8Ouvv+Lw4cPYu3cvcnJyUFdXJ3QkwTyrfZNEIkFsbCzHNIQQQl51tJuekOeora1FcnIyEhMTUVhYiHbt2gkdSVCXL18WOgIhhJB/ECpGCWnG5cuXcejQIURHR0Mmk8HT0xM//PAD3NzchI5GROrq1avYuXMn8vLycOzYMVhYWOCbb76BtbU1Xn/9dZXf39PT84Vfe/z4cRUmIYSQF0fFKCFNsLCwQFlZGUaOHIldu3Zh3LhxLfqoS/J80dHRmDlzJqZPn47U1FT89ddfAOpPZtq4cSPOnDmj8gwGBgYqvwchhLxstGaUkCbs3r0bkyZNgqGhodBRyCvC1dUVvr6+mDVrFvT09JCeng4bGxukpqZi1KhRKCkpEToiIYSIEs2MEtKE+fPnCx2BvGJ++eUXDBkyRGncwMAA5eXl/AMRQsgrgopRQgh5Cdq3b4/c3Fyltl8//vgjbGxsBMl07NgxHD16FFKpFDU1NQrXUlJSBMlECCFPo6b3hBDyEsyfPx/Lli1DYmIiJBIJ7t69i2+//Rb+/v7w8fHhnicsLAze3t5o164dUlNT0bdvX5iYmCA/Px+jRo3inocQQppDa0YJIeQlYIxh48aN2LRpE6qrqwEAbdq0gb+/PzZs2MA9T/fu3bF27VpMmzZNYQ1rYGAgysrKEB4ezj0TIYQ0hYpRQgh5iWpqapCbm4vKykrY29tDV1dXkBza2trIyspCp06dYGZmhgsXLsDZ2Rk5OTno378/SktLBclFCCFPo8f0hBDyEkmlUhQVFcHR0RG6uroQ6vt++/btUVZWBgCwsrJCQkICAKCgoECwTIQQ0hQqRgkh5CUoLS2Fu7s7unbtitGjR6O4uBgAMHfuXPj5+XHP4+bmhlOnTgEAvL294evri7feegtTpkyBh4cH9zyEENIcekxPCCEvwaxZs3D//n1ERESgR48e8jWa58+fx/Lly3Hr1i2ueWQyGWQyGVq3rm+aEhUVhWvXrsHOzg4LFy6EhoYG1zyEENIcKkYJIeQlaN++Pc6fPw9nZ2eFDUP5+flwcnJCZWUl1zxSqRSWlpaQSCQK44wxFBUVwcrKimseQghpDj2mJ4SQl6Cqqgra2tpK42VlZYIcJWttbY0HDx40mcfa2pp7HkIIaQ4Vo4QQ8hIMHjwYkZGR8t8lEglkMhmCg4MxdOhQ7nkYY0qzogBQWVkJTU1N7nkIIaQ5dAITIYS8BMHBwXB3d0dycjJqamqwYsUK3Lp1C2VlZYiPj+eWY/ny5QDqi+E1a9YozNY+efIEiYmJcHFx4ZaHEEKeh4pRQgh5CRwcHJCdnY3w8HDo6emhsrISnp6eWLx4MczNzbnlSE1NBVA/M5qZmamwUUlDQwPOzs7w9/fnlocQQp6HNjARQsj/qLa2FiNHjsSOHTtgZ2cndBwA9e2ctm3bBn19faGjEELIM1ExSgghL4Gpqam8dZLY/PrrrwCAjh07CpyEEEKU0QYmQgh5CWbMmIE9e/YIHUNOJpNh/fr1MDAwQKdOndCpUycYGhpiw4YNkMlkQscjhBA5WjNKCCEvQV1dHfbu3YuLFy+id+/e0NHRUbgeGhrKNc+qVauwZ88ebN68GYMGDQIA/Pjjj1i3bh0eP36MTz/9lGseQghpDj2mJ4SQl+BZ7ZskEgliY2M5pgE6dOiAHTt2YPz48Qrj33//Pd577z389ttvXPMQQkhzaGaUEEL+SxkZGXBwcICamhouX74sdBwFZWVl6N69u9J49+7dUVZWJkAiQghpGq0ZJYSQ/5Krqyt+//13AICNjQ1KS0sFTvQfzs7OCA8PVxoPDw+Hs7OzAIkIIaRpNDNKCCH/JUNDQxQUFMDMzAyFhYWi2hgUHByMMWPG4OLFixgwYAAA4Pr16ygqKsKZM2cETkcIIf9Ba0YJIeS/tGDBAkRGRsLc3BxSqRQdO3ZEq1atmnxtfn4+53TA3bt38dVXX+H27dsAgB49euC9995Dhw4duGchhJDmUDFKCCH/g3PnziE3NxdLly7F+vXroaen1+Trli1bxjWXVCqFpaVlk+fTS6VSWFlZcc1DCCHNoWKUEEJeAm9vb4SFhTVbjPLWqlUrFBcXw8zMTGG8tLQUZmZmePLkiUDJCCFEEa0ZJYSQl2Dfvn1CR1DAGGtyVrSyshKampoCJCKEkKZRMUoIIf8gy5cvB1Df23TNmjXQ1taWX3vy5AkSExPh4uIiUDpCCFFGxSghhPyDpKamAqifGc3MzISGhob8moaGBpydneHv7y9UPEIIUUJrRgkh5B/I29sb27Ztg76+vtBRCCHkmagYJYQQQgghgqETmAghhBBCiGCoGCWEEEIIIYKhYpQQQgghhAiGilFCCCGEECIYKkYJIYQQQohgqBglhBBCCCGCoWKUEEIIIYQIhopRQgghhBAimP8D+BYEPSBjrDQAAAAASUVORK5CYII=\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": { + "id": "NHQPRTdLZI9R", + "outputId": "b563bb86-50d6-44ad-e32a-bd019e58ce4d", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Saved merged file to: /content/outputs/wine_quality_merged.csv\n", + "Reloaded shape: (6497, 13)\n" + ] + } + ], + "source": [ + "# ---------- 6) Save ----------\n", + "OUT_DIR = Path(\"./outputs\")\n", + "OUT_DIR.mkdir(parents=True, exist_ok=True)\n", + "out_file = OUT_DIR / \"wine_quality_merged.csv\"\n", + "df.to_csv(out_file, index=False)\n", + "print(f\"\\nSaved merged file to: {out_file.resolve()}\")\n", + "\n", + "# Quick verification of saved file\n", + "df_check = pd.read_csv(out_file)\n", + "print(\"Reloaded shape:\", df_check.shape)\n" + ] + } + ] +} \ No newline at end of file From 49256e9ae770a88899839c3d54d31ae552c110fb Mon Sep 17 00:00:00 2001 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zxk)l^`rwxT*IcQ2w@QsoQ>NT%w(!oNfhOiAWd0kXWB<2_{Gqa$L3<|jGwPhTOMxNM z%aUg71u!09zs(!CwDXD9P@R|r+}t3c8^HeMW{t+UEYq8j4#J~5Jpp<)<+h~#md2b( z=5W^l^S|C#2ZES$h7YmSoiVmG>}u|C(_esru7))csXHC;C+nY)2FZj^{|vj|^;K@i zu-IhKq@8PAZyDNoA0q~xmI1#Iw-sMh*VuGk&Ho1fZ??rfdoaMJ*hov!S#mr7-_S~A zfUn!ZQ0e!BPM66|l)k}K_+yuqjeGL1f4Frx#ZV!Hle+0(9_$#dl@(!${nQ^}nV0;( z_y3Hts02oBcK(|Y59iLZkL0)e&HMguB&8k_K8;2GzgZ;p(@omFs~67m&$xd>dv?{e zo9z(ckNdA>ak=P+=vFXJTo 180:\n", + " angle = 360 - angle\n", + "\n", + " return round(angle, 2)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d477d52d", + "metadata": {}, + "outputs": [], + "source": [ + "def torso_angle(a, b, c, d):\n", + " \"\"\"\n", + " Calculates the angle between torso and the Z-axis.\n", + "\n", + " Args:\n", + " p1 (tuple/list): middle point of shoulders\n", + " p2 (tuple/list): middel point of hips\n", + "\n", + " Returns:\n", + " float: Angle in degrees between the line and the positive Z-axis.\n", + " \"\"\"\n", + " p1 = ((a.x+b.x)/2, (a.y+b.y)/2, (a.z+b.z)/2) # Midpoint of a and b\n", + " p2 = ((c.x+d.x)/2, (c.y+d.y)/2, (c.z+d.z)/2) # Midpoint of c and d\n", + " \n", + " # 1. Define Z-axis unit vector\n", + " z_axis_vector = np.array([0, 0, 1])\n", + "\n", + " # 2. Calculate the line vector (P2 - P1)\n", + " line_vector = np.array(p2) - np.array(p1)\n", + "\n", + " # 3. Calculate the dot product\n", + " dot_product = np.dot(line_vector, z_axis_vector)\n", + "\n", + " # 4. Calculate magnitudes\n", + " magnitude_line = np.linalg.norm(line_vector)\n", + " magnitude_z = np.linalg.norm(z_axis_vector) # This is just 1\n", + "\n", + " # Avoid division by zero if the line is a point\n", + " if magnitude_line == 0:\n", + " return 0.0 # Or handle as error\n", + "\n", + " # 5. Calculate the cosine of the angle\n", + " # Clamp the value to [-1, 1] to avoid floating point errors with acos\n", + " cos_theta = np.clip(dot_product / (magnitude_line * magnitude_z), -1.0, 1.0)\n", + "\n", + " # 6. Calculate the angle in radians and convert to degrees\n", + " angle_radians = np.arccos(cos_theta)\n", + " angle = np.degrees(angle_radians)\n", + "\n", + " if angle > 180:\n", + " angle = 360 - angle\n", + "\n", + "\n", + " return round(angle, 2)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "d9e1c9d5", + "metadata": {}, + "source": [ + "1. Torso Angle:\n", + "\n", + " less than 20° relative to the vertical direction (Z axis)\n", + "\n", + "2. Elbow Angle:\n", + "\n", + " At the top:\n", + " greater than 150 \n", + "\n", + " At the bottom:\n", + " less than 90° \n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "edc6cf5f", + "metadata": {}, + "outputs": [], + "source": [ + "cap = cv2.VideoCapture(0)\n", + "\n", + "start_time = time.time()\n", + "counter = 0\n", + "rate = 0\n", + "rate_t = \"0.0\"\n", + "stage = None\n", + "\n", + "with mp_pose.Pose(\n", + " min_detection_confidence=0.5, \n", + " min_tracking_confidence=0.5\n", + ") as pose:\n", + " \n", + " while cap.isOpened():\n", + " ret, frame = cap.read()\n", + " \n", + " image = cv2.cvtColor(frame, cv2.COLOR_BGR2RGB)\n", + " image.flags.writeable = False\n", + "\n", + " results = pose.process(image)\n", + "\n", + " image.flags.writeable = True\n", + " image = cv2.cvtColor(image, cv2.COLOR_RGB2BGR)\n", + "\n", + " try:\n", + " landmarks = results.pose_landmarks.landmark\n", + " l_wrist = landmarks[mp_pose.PoseLandmark.LEFT_WRIST.value]\n", + " l_elbow = landmarks[mp_pose.PoseLandmark.LEFT_ELBOW.value]\n", + " l_shoulder = landmarks[mp_pose.PoseLandmark.LEFT_SHOULDER.value]\n", + " l_hip = landmarks[mp_pose.PoseLandmark.LEFT_HIP.value]\n", + " \n", + " r_wrist = landmarks[mp_pose.PoseLandmark.RIGHT_WRIST.value]\n", + " r_elbow = landmarks[mp_pose.PoseLandmark.RIGHT_ELBOW.value]\n", + " r_shoulder = landmarks[mp_pose.PoseLandmark.RIGHT_SHOULDER.value]\n", + " r_hip = landmarks[mp_pose.PoseLandmark.RIGHT_HIP.value]\n", + " \n", + " lh_angle = elbow_angle(l_wrist, l_elbow, l_shoulder)\n", + " rh_angle = elbow_angle(r_wrist, r_elbow, r_shoulder)\n", + " t_angle = torso_angle(l_shoulder, r_shoulder, l_hip, r_hip)\n", + "\n", + " cv2.putText(image,\n", + " str(lh_angle),\n", + " tuple(np.multiply((l_elbow.x, l_elbow.y), [640, 480]).astype(int)),\n", + " cv2.FONT_HERSHEY_SIMPLEX,\n", + " 0.5,\n", + " (255, 255, 0),\n", + " 2,\n", + " cv2.LINE_AA\n", + " )\n", + " cv2.putText(image,\n", + " str(rh_angle),\n", + " tuple(np.multiply((r_elbow.x, r_elbow.y), [640, 480]).astype(int)),\n", + " cv2.FONT_HERSHEY_SIMPLEX,\n", + " 0.5,\n", + " (255, 255, 0),\n", + " 2,\n", + " cv2.LINE_AA\n", + " )\n", + "\n", + " cv2.putText(image,\n", + " str(t_angle),\n", + " tuple(np.multiply(((l_shoulder.x+r_shoulder.x)/2, (l_shoulder.y+r_shoulder.y)/2), [640, 480]).astype(int)),\n", + " cv2.FONT_HERSHEY_SIMPLEX,\n", + " 0.5,\n", + " (255, 255, 0),\n", + " 2,\n", + " cv2.LINE_AA\n", + " )\n", + " cv2.putText(image,\n", + " timer_text,\n", + " (10, 470),\n", + " cv2.FONT_HERSHEY_SIMPLEX,\n", + " 0.7,\n", + " (0, 255, 0),\n", + " 2,\n", + " cv2.LINE_AA\n", + " )\n", + "\n", + " # Curl counter logic\n", + " if lh_angle > 150 and rh_angle > 150:\n", + " stage = 'up'\n", + " if lh_angle < 90 and rh_angle < 90 and (t_angle - 90) < 20 and stage == 'up':\n", + " stage = 'down'\n", + " counter += 1\n", + "\n", + " except:\n", + " pass\n", + " \n", + " cv2.rectangle(image, (0,0), (150,50), (255,100,0), -1)\n", + " cv2.putText(image, 'REPS: ',\n", + " (0,35),\n", + " cv2.FONT_HERSHEY_COMPLEX,\n", + " 0.7,\n", + " (0,255,255),\n", + " 1,\n", + " cv2.LINE_AA)\n", + " cv2.putText(image,\n", + " str(counter),\n", + " (80,40),\n", + " cv2.FONT_HERSHEY_COMPLEX,\n", + " 1.0,\n", + " (255,255,255),\n", + " 2,\n", + " cv2.LINE_AA)\n", + "\n", + " cv2.rectangle(image, (440,0), (620,50), (255,100,0), -1)\n", + " cv2.putText(image, 'Stage: ',\n", + " (440,35),\n", + " cv2.FONT_HERSHEY_COMPLEX,\n", + " 0.7,\n", + " (0,255,255),\n", + " 1,\n", + " cv2.LINE_AA)\n", + " cv2.putText(image,\n", + " str(stage),\n", + " (530,40),\n", + " cv2.FONT_HERSHEY_COMPLEX,\n", + " 1.0,\n", + " (255,255,255),\n", + " 2,\n", + " cv2.LINE_AA)\n", + "\n", + " cv2.rectangle(image, (220,0), (380,50), (255,100,0), -1)\n", + " elapsed_time = time.time() - start_time\n", + " minutes = int(elapsed_time // 60)\n", + " seconds = int(elapsed_time % 60)\n", + " timer_text = f\"{minutes:02d}:{seconds:02d}\"\n", + " rate = counter / (minutes * 60 + seconds + 0.001) * 60\n", + " rate_t = f\"{rate:.1f}\"\n", + " cv2.putText(image, '#/min: ',\n", + " (220,35),\n", + " cv2.FONT_HERSHEY_COMPLEX,\n", + " 0.7,\n", + " (0,255,255),\n", + " 1,\n", + " cv2.LINE_AA)\n", + " cv2.putText(image,\n", + " str(rate_t),\n", + " (320,40),\n", + " cv2.FONT_HERSHEY_COMPLEX,\n", + " 1.0,\n", + " (255,255,255),\n", + " 2,\n", + " cv2.LINE_AA)\n", + "\n", + " # Draw landmarks\n", + " mp_drawing.draw_landmarks(\n", + " image, \n", + " results.pose_landmarks, \n", + " mp_pose.POSE_CONNECTIONS\n", + " )\n", + " \n", + " cv2.imshow(\"Pose\", image)\n", + " if cv2.waitKey(10) & 0xFF == ord('q'):\n", + " break\n", + "\n", + "cap.release()\n", + "cv2.destroyAllWindows()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "mp_cpu", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.19" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git "a/a0.1/04-GPU_Programs/02-Assignments/a15/AI\342\200\223DS_Nexus___5_9_TextClassification_rsayyareh.ipynb" "b/a0.1/04-GPU_Programs/02-Assignments/a15/AI\342\200\223DS_Nexus___5_9_TextClassification_rsayyareh.ipynb" new file mode 100644 index 0000000..4c01f30 --- /dev/null +++ "b/a0.1/04-GPU_Programs/02-Assignments/a15/AI\342\200\223DS_Nexus___5_9_TextClassification_rsayyareh.ipynb" @@ -0,0 +1,914 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "4giSCbj0Th8C" + }, + "source": [ + "# Sentiment Analysis: FastText + Classical ML\n", + "\n", + "End-to-end sentiment classification using FastText embeddings with XGBoost and Random Forest.\n", + "\n", + "**Pipeline:** Data loading (IMDB) → Preprocessing → FastText embeddings → Training → Evaluation" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BRwbyb93Th8E" + }, + "source": [ + "## 1. Setup & Install Dependencies" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "myZnABTZTh8E", + "outputId": "a2fc31e1-33a1-405b-b356-6958782cfc32" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "WARNING:tensorflow:From c:\\Users\\HP\\miniconda3\\envs\\v_nlpgpu\\lib\\site-packages\\keras\\src\\losses.py:2976: The name tf.losses.sparse_softmax_cross_entropy is deprecated. Please use tf.compat.v1.losses.sparse_softmax_cross_entropy instead.\n", + "\n", + "✓ All libraries ready\n" + ] + } + ], + "source": [ + "\n", + "# !pip install -q fasttext xgboost\n", + "\n", + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "from sklearn.model_selection import train_test_split\n", + "from sklearn.preprocessing import StandardScaler\n", + "from sklearn.ensemble import RandomForestClassifier\n", + "from sklearn.metrics import (\n", + " accuracy_score, precision_score, recall_score, f1_score,\n", + " confusion_matrix, classification_report\n", + ")\n", + "import xgboost as xgb\n", + "import fasttext\n", + "import re\n", + "\n", + "#2d projection\n", + "from sklearn.manifold import TSNE\n", + "\n", + "# for dataset\n", + "import tensorflow as tf\n", + "from tensorflow.keras.datasets import imdb\n", + "\n", + "import warnings\n", + "warnings.filterwarnings('ignore')\n", + "\n", + "plt.style.use('seaborn-v0_8-darkgrid')\n", + "sns.set_palette('husl')\n", + "\n", + "print(\"✓ All libraries ready\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "2Q3EAZ83Th8F" + }, + "source": [ + "## 2. Load IMDB Dataset" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "dFgvjd0lTh8G", + "outputId": "6d6d84ad-8fa8-4f46-8253-bf58675cc6a0" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Loading IMDB dataset...\n", + "✓ IMDB dataset loaded\n", + "\n", + "Dataset shape: (5500, 2)\n", + "\n", + "Sample reviews:\n", + "\n", + "[POSITIVE] ? this film was just brilliant casting location scenery story direction everyone's really suited the...\n", + "\n", + "[NEGATIVE] ? big hair big boobs bad music and a giant safety pin these are the words to best describe this terr...\n", + "\n", + "Label distribution:\n", + "{0: 2768, 1: 2732}\n" + ] + } + ], + "source": [ + "print(\"Loading IMDB dataset...\")\n", + "\n", + "word_index = imdb.get_word_index()\n", + "reverse_word_index = dict([(value, key) for (key, value) in word_index.items()])\n", + "\n", + "def decode_review(text):\n", + " return ' '.join([reverse_word_index.get(i - 3, '?') for i in text])\n", + "\n", + "(x_train, y_train), (x_test, y_test) = imdb.load_data(num_words=10000)\n", + "\n", + "X_train_text = np.array([decode_review(x) for x in x_train[:4000]])\n", + "X_test_text = np.array([decode_review(x) for x in x_test[:1500]])\n", + "y_train_label = y_train[:4000]\n", + "y_test_label = y_test[:1500]\n", + "\n", + "df_train = pd.DataFrame({'review': X_train_text, 'sentiment': y_train_label})\n", + "df_test = pd.DataFrame({'review': X_test_text, 'sentiment': y_test_label})\n", + "df = pd.concat([df_train, df_test], ignore_index=True)\n", + "\n", + "print(\"✓ IMDB dataset loaded\")\n", + "\n", + "\n", + "\n", + "print(f\"\\nDataset shape: {df.shape}\")\n", + "print(f\"\\nSample reviews:\")\n", + "for i in range(2):\n", + " label = 'POSITIVE' if df['sentiment'].iloc[i] == 1 else 'NEGATIVE'\n", + " print(f\"\\n[{label}] {df['review'].iloc[i][:100]}...\")\n", + "\n", + "print(f\"\\nLabel distribution:\")\n", + "print(df['sentiment'].value_counts().to_dict())" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "_hD-4mrtTh8G" + }, + "source": [ + "### Data Visualization" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 590 + }, + "id": "v7I15D4bTh8G", + "outputId": "4e13908b-98f1-485e-8c1a-399d9e2d3d9c" + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Review length statistics:\n", + "count 5500.000000\n", + "mean 241.746000\n", + "std 180.098601\n", + "min 9.000000\n", + "25% 129.000000\n", + "50% 180.000000\n", + "75% 295.000000\n", + "max 1851.000000\n", + "Name: review_length, dtype: float64\n" + ] + } + ], + "source": [ + "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", + "\n", + "sentiment_counts = df['sentiment'].value_counts().sort_index()\n", + "axes[0].bar(['Negative', 'Positive'], sentiment_counts.values, color=['#e74c3c', '#2ecc71'], alpha=0.8, edgecolor='black')\n", + "axes[0].set_ylabel('Count', fontsize=11)\n", + "axes[0].set_title('Sentiment Distribution', fontsize=12, fontweight='bold')\n", + "axes[0].grid(axis='y', alpha=0.3)\n", + "\n", + "df['review_length'] = df['review'].str.split().str.len()\n", + "axes[1].hist(df['review_length'], bins=30, color='#3498db', edgecolor='black', alpha=0.7)\n", + "axes[1].set_xlabel('Number of Words', fontsize=11)\n", + "axes[1].set_ylabel('Frequency', fontsize=11)\n", + "axes[1].set_title('Review Length Distribution', fontsize=12, fontweight='bold')\n", + "axes[1].grid(axis='y', alpha=0.3)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n", + "\n", + "print(f\"Review length statistics:\")\n", + "print(df['review_length'].describe())" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "nFxMyGveTh8G" + }, + "source": [ + "## 3. Text Preprocessing" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "J7L7QpsqTh8H", + "outputId": "5b84f426-2834-44f4-83cf-7200bd512d5b" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Preprocessing reviews...\n", + "✓ Preprocessing complete!\n", + "\n", + "Sample transformations:\n", + "\n", + "Before: ? this film was just brilliant casting location scenery story direction everyone...\n", + "After: this film was just brilliant casting location scenery story direction everyone s...\n", + "\n", + "Before: ? big hair big boobs bad music and a giant safety pin these are the words to bes...\n", + "After: big hair big boobs bad music and a giant safety pin these are the words to best ...\n" + ] + } + ], + "source": [ + "def preprocess_text(text):\n", + " text = str(text).lower()\n", + " text = re.sub(r'http\\\\S+|www\\\\S+|https\\\\S+', ' ', text, flags=re.MULTILINE)\n", + " text = re.sub(r'[^a-zA-Z0-9\\\\s]', ' ', text)\n", + " text = re.sub(r'\\\\s+', ' ', text).strip()\n", + " return text\n", + "\n", + "print(\"Preprocessing reviews...\")\n", + "\n", + "df_train['review_clean'] = df_train['review'].apply(preprocess_text)\n", + "df_test['review_clean'] = df_test['review'].apply(preprocess_text)\n", + "\n", + "print(\"✓ Preprocessing complete!\\n\")\n", + "\n", + "print(\"Sample transformations:\")\n", + "for i in range(2):\n", + " print(f\"\\nBefore: {df_train['review'].iloc[i][:80]}...\")\n", + " print(f\"After: {df_train['review_clean'].iloc[i][:80]}...\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "lOBzdRr7Th8H" + }, + "source": [ + "## 4. FastText Embeddings" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "WYVom7O-Th8H", + "outputId": "444bb9f4-d14f-4ff4-e10f-fc98e0458d9e" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Preparing FastText training data (train only)...\n", + "✓ FastText training file created\n" + ] + } + ], + "source": [ + "train_data_path = './tmp/fasttext_train.txt'\n", + "\n", + "print(\"Preparing FastText training data (train only)...\")\n", + "with open(train_data_path, 'w') as f:\n", + " for text, label in zip(df_train['review_clean'], df_train['sentiment']):\n", + " f.write(f\"__label__{int(label)} {text}\\n\")\n", + "\n", + "print(\"✓ FastText training file created\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "-yCHwnudTh8H", + "outputId": "4336771e-ff98-4869-db10-fc7d23bba5c4" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Training FastText model...\n", + "✓ FastText model trained!\n", + " Vocabulary size: 9789\n", + " Embedding dimension: 100\n" + ] + } + ], + "source": [ + "print(\"Training FastText model...\")\n", + "fasttext_model = fasttext.train_supervised(\n", + " input=train_data_path,\n", + " epoch=30, # ↑ more learning\n", + " lr=0.3, # ↓ more stable\n", + " wordNgrams=2,\n", + " minn=3, # character n-grams\n", + " maxn=6,\n", + " dim=300, # ↑ richer embeddings\n", + " loss='softmax',\n", + " verbose=0\n", + ")\n", + "\n", + "print(\"✓ FastText model trained!\")\n", + "print(f\" Vocabulary size: {len(fasttext_model.get_words())}\")\n", + "print(f\" Embedding dimension: 100\")" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "xyNYMfmpTh8H", + "outputId": "95c184da-5093-43d5-c6e0-f344460f90dd" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Generating embeddings...\n", + "✓ Embeddings generated!\n" + ] + } + ], + "source": [ + "print(\"Generating embeddings...\")\n", + "X_train_embed = np.array([\n", + " fasttext_model.get_sentence_vector(text)\n", + " for text in df_train['review_clean']\n", + "])\n", + "\n", + "X_test_embed = np.array([\n", + " fasttext_model.get_sentence_vector(text)\n", + " for text in df_test['review_clean']\n", + "])\n", + "\n", + "y_train = df_train['sentiment'].values\n", + "y_test = df_test['sentiment'].values\n", + "\n", + "print(\"✓ Embeddings generated!\")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Train embeddings shape: (4000, 300)\n", + " Test embeddings shape: (1500, 300)\n" + ] + } + ], + "source": [ + "# Scale embeddings (REQUIRED)\n", + "scaler = StandardScaler()\n", + "X_train = scaler.fit_transform(X_train_embed)\n", + "X_test = scaler.transform(X_test_embed)\n", + "\n", + "print(f\" Train embeddings shape: {X_train_embed.shape}\")\n", + "print(f\" Test embeddings shape: {X_test_embed.shape}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8oNw5xxYTh8H" + }, + "source": [ + "### Embedding Visualization (t-SNE)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 825 + }, + "id": "X6d2pDA_Th8H", + "outputId": "52482663-e24e-45d9-d2df-f9029ba7d972" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Computing t-SNE projection...\n", + "✓ t-SNE computed!\n" + ] + } + ], + "source": [ + "print(\"Computing t-SNE projection...\")\n", + "\n", + "# Concatenate ONLY for visualization\n", + "embeddings_vis = np.vstack([X_train_embed, X_test_embed])\n", + "labels_vis = np.concatenate([y_train, y_test])\n", + "\n", + "sample_size = min(1500, len(embeddings_vis))\n", + "sample_indices = np.random.choice(len(embeddings_vis), sample_size, replace=False)\n", + "\n", + "X_sample = embeddings_vis[sample_indices]\n", + "y_sample = labels_vis[sample_indices]\n", + "\n", + "tsne = TSNE(\n", + " n_components=2,\n", + " random_state=42,\n", + " max_iter=1000,\n", + " perplexity=30\n", + ")\n", + "\n", + "X_2d = tsne.fit_transform(X_sample)\n", + "\n", + "print(\"✓ t-SNE computed!\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "YMJ4SmXXTh8H" + }, + "source": [ + "## 5. Train-Test Split" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "rwVfzWMVTh8H", + "outputId": "6a6147ea-65f6-40fb-e2e4-8b0dbdad7255" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Training set: (4000, 300)\n", + "Test set: (1500, 300)\n", + "\n", + "Class distribution (train):\n", + " Negative: 1964\n", + " Positive: 2036\n" + ] + } + ], + "source": [ + "print(f\"Training set: {X_train.shape}\")\n", + "print(f\"Test set: {X_test.shape}\")\n", + "print(f\"\\nClass distribution (train):\")\n", + "unique, counts = np.unique(y_train, return_counts=True)\n", + "for label, count in zip(unique, counts):\n", + " label_name = 'Positive' if label == 1 else 'Negative'\n", + " print(f\" {label_name}: {count}\")\n", + "\n", + "scaler = StandardScaler()\n", + "X_train = scaler.fit_transform(X_train_embed)\n", + "X_test = scaler.transform(X_test_embed)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "o1A0_Q0oTh8I" + }, + "source": [ + "## 6. Model Training" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Unir9y1mTh8I", + "outputId": "8e4ddd4c-91a6-4ac2-ba57-4292f349c439" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Training XGBoost...\n", + "✓ XGBoost trained!\n" + ] + } + ], + "source": [ + "print(\"Training XGBoost...\")\n", + "xgb_model = xgb.XGBClassifier(\n", + " n_estimators=600,\n", + " max_depth=5,\n", + " learning_rate=0.05,\n", + " subsample=0.9,\n", + " colsample_bytree=0.9,\n", + " min_child_weight=1,\n", + " gamma=0.1,\n", + " reg_alpha=0.01,\n", + " reg_lambda=1.0,\n", + " objective='binary:logistic',\n", + " eval_metric='logloss',\n", + " random_state=42,\n", + " n_jobs=-1\n", + ")\n", + "\n", + "xgb_model.fit(\n", + " X_train, y_train,\n", + " eval_set=[(X_test, y_test)],\n", + " verbose=False\n", + ")\n", + "\n", + "\n", + "\n", + "y_prob_xgb = xgb_model.predict_proba(X_test)[:, 1]\n", + "\n", + "# Tune threshold (0.4–0.45 usually improves recall/F1)\n", + "threshold = 0.45\n", + "y_pred_xgb = (y_prob_xgb >= threshold).astype(int)\n", + "print(\"✓ XGBoost trained!\")" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Bz1DKNpgTh8I", + "outputId": "7ff63f10-f259-4906-ff49-719bd08260ca" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Training Random Forest...\n", + "✓ Random Forest trained!\n" + ] + } + ], + "source": [ + "print(\"Training Random Forest...\")\n", + "rf_model = RandomForestClassifier(\n", + " n_estimators=400,\n", + " max_depth=20,\n", + " min_samples_split=4,\n", + " min_samples_leaf=1,\n", + " max_features='sqrt',\n", + " class_weight='balanced',\n", + " random_state=42,\n", + " n_jobs=-1\n", + ")\n", + "\n", + "rf_model.fit(X_train, y_train)\n", + "y_pred_rf = rf_model.predict(X_test)\n", + "print(\"✓ Random Forest trained!\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "IVrjr5vcTh8I" + }, + "source": [ + "## 7. Model Evaluation" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "zVUhTrNHTh8I", + "outputId": "4d326431-0d14-4a66-f939-717590299b2d" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "MODEL PERFORMANCE\n", + "===========================================================================\n", + " Model Accuracy Precision Recall F1-Score\n", + " XGBoost 0.852667 0.826685 0.863506 0.844694\n", + "Random Forest 0.859333 0.836338 0.866379 0.851094\n", + "===========================================================================\n" + ] + } + ], + "source": [ + "def evaluate_model(y_true, y_pred, model_name):\n", + " metrics = {\n", + " 'Model': model_name,\n", + " 'Accuracy': accuracy_score(y_true, y_pred),\n", + " 'Precision': precision_score(y_true, y_pred),\n", + " 'Recall': recall_score(y_true, y_pred),\n", + " 'F1-Score': f1_score(y_true, y_pred)\n", + " }\n", + " return metrics\n", + "\n", + "results = []\n", + "results.append(evaluate_model(y_test, y_pred_xgb, 'XGBoost'))\n", + "results.append(evaluate_model(y_test, y_pred_rf, 'Random Forest'))\n", + "\n", + "results_df = pd.DataFrame(results)\n", + "print(\"\\nMODEL PERFORMANCE\")\n", + "print(\"=\"*75)\n", + "print(results_df.to_string(index=False))\n", + "print(\"=\"*75)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 407 + }, + "id": "UP-akPydTh8I", + "outputId": "f4e7c625-95ff-4042-a746-d68a4982f1b0" + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", + "\n", + "predictions = [\n", + " ('XGBoost', y_pred_xgb),\n", + " ('Random Forest', y_pred_rf)\n", + "]\n", + "\n", + "for idx, (model_name, y_pred) in enumerate(predictions):\n", + " cm = confusion_matrix(y_test, y_pred)\n", + " sns.heatmap(\n", + " cm, annot=True, fmt='d', cmap='Blues', ax=axes[idx],\n", + " xticklabels=['Negative', 'Positive'],\n", + " yticklabels=['Negative', 'Positive'],\n", + " cbar=False,\n", + " annot_kws={'size': 12, 'weight': 'bold'}\n", + " )\n", + " axes[idx].set_title(f'{model_name} Confusion Matrix', fontsize=12, fontweight='bold')\n", + " axes[idx].set_ylabel('True Label', fontsize=11)\n", + " axes[idx].set_xlabel('Predicted Label', fontsize=11)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "-sLogIIkTh8I", + "outputId": "570523d4-652f-457f-dc6f-2dac710672a1" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "DETAILED CLASSIFICATION REPORT - XGBoost\n", + "===========================================================================\n", + " precision recall f1-score support\n", + "\n", + " Negative 0.8771 0.8433 0.8599 804\n", + " Positive 0.8267 0.8635 0.8447 696\n", + "\n", + " accuracy 0.8527 1500\n", + " macro avg 0.8519 0.8534 0.8523 1500\n", + "weighted avg 0.8537 0.8527 0.8528 1500\n", + "\n", + "\n", + "DETAILED CLASSIFICATION REPORT - Random Forest\n", + "===========================================================================\n", + " precision recall f1-score support\n", + "\n", + " Negative 0.8806 0.8532 0.8667 804\n", + " Positive 0.8363 0.8664 0.8511 696\n", + "\n", + " accuracy 0.8593 1500\n", + " macro avg 0.8585 0.8598 0.8589 1500\n", + "weighted avg 0.8601 0.8593 0.8595 1500\n", + "\n" + ] + } + ], + "source": [ + "print(\"\\nDETAILED CLASSIFICATION REPORT - XGBoost\")\n", + "print(\"=\"*75)\n", + "print(classification_report(\n", + " y_test, y_pred_xgb,\n", + " target_names=['Negative', 'Positive'],\n", + " digits=4\n", + "))\n", + "\n", + "print(\"\\nDETAILED CLASSIFICATION REPORT - Random Forest\")\n", + "print(\"=\"*75)\n", + "print(classification_report(\n", + " y_test, y_pred_rf,\n", + " target_names=['Negative', 'Positive'],\n", + " digits=4\n", + "))" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 607 + }, + "id": "OdAD3Yo8Th8I", + "outputId": "db30b853-654e-4e60-8d68-bdc3898c1dab" + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "importance_xgb = xgb_model.feature_importances_\n", + "importance_indices = np.argsort(importance_xgb)[-12:]\n", + "\n", + "fig, ax = plt.subplots(figsize=(10, 6))\n", + "ax.barh(range(len(importance_indices)), importance_xgb[importance_indices], color='#e74c3c', alpha=0.8, edgecolor='black')\n", + "ax.set_yticks(range(len(importance_indices)))\n", + "ax.set_yticklabels([f'Feature {i}' for i in importance_indices], fontsize=10)\n", + "ax.set_xlabel('Importance Score', fontsize=11, fontweight='bold')\n", + "ax.set_title('Top 12 Important FastText Features (XGBoost)', fontsize=12, fontweight='bold')\n", + "ax.grid(axis='x', alpha=0.3)\n", + "\n", + "for i, v in enumerate(importance_xgb[importance_indices]):\n", + " ax.text(v + 0.002, i, f'{v:.4f}', va='center', fontsize=9)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "-wPJ1eKBTh8I", + "outputId": "c1af52ec-16b4-40c8-a684-a67946f4fcdb" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "FINAL SUMMARY\n", + "===========================================================================\n", + "\n", + "Dataset: 5500 sentiment-labeled reviews\n", + "Embeddings: FastText (100-dim, bigrams)\n", + "Test set size: 1500 samples\n", + "\n", + "Best Model: Random Forest\n", + " Accuracy: 0.8593\n", + " Precision: 0.8363\n", + " Recall: 0.8664\n", + " F1-Score: 0.8511\n", + "\n", + "===========================================================================\n" + ] + } + ], + "source": [ + "print(\"\\nFINAL SUMMARY\")\n", + "print(\"=\"*75)\n", + "print(f\"\\nDataset: {len(df)} sentiment-labeled reviews\")\n", + "print(f\"Embeddings: FastText (100-dim, bigrams)\")\n", + "print(f\"Test set size: {len(y_test)} samples\")\n", + "\n", + "best_idx = results_df['Accuracy'].idxmax()\n", + "best_model = results_df.iloc[best_idx]['Model']\n", + "best_acc = results_df.iloc[best_idx]['Accuracy']\n", + "\n", + "print(f\"\\nBest Model: {best_model}\")\n", + "print(f\" Accuracy: {best_acc:.4f}\")\n", + "print(f\" Precision: {results_df.iloc[best_idx]['Precision']:.4f}\")\n", + "print(f\" Recall: {results_df.iloc[best_idx]['Recall']:.4f}\")\n", + "print(f\" F1-Score: {results_df.iloc[best_idx]['F1-Score']:.4f}\")\n", + "\n", + "print(\"\\n\" + \"=\"*75)" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "v_nlpgpu", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.19" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git 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--- /dev/null +++ b/a0.1/AmirHosseinZandi_PoseEstimationTask/readme.txt @@ -0,0 +1,10 @@ +Student: Amir Hossein Zandi + +GitHub: https://github.com/Amirhosseinzandi-web/BulgarianSquat-Tracker + +Project: Bulgarian Split Squat AI Trainer +- Real-time rep counting +- Form correction +- YOLOv11-Pose detection + +Demo video included. \ No newline at end of file diff --git a/a0.1/Assign/README.md b/a0.1/Assign/README.md new file mode 100644 index 0000000..b1b9214 --- /dev/null +++ b/a0.1/Assign/README.md @@ -0,0 +1 @@ +This folder has been created for Nexue assignments. \ No newline at end of file diff --git a/a0.1/Assign/a01/a01-1.py b/a0.1/Assign/a01/a01-1.py new file mode 100644 index 0000000..4672cd2 --- /dev/null +++ b/a0.1/Assign/a01/a01-1.py @@ -0,0 +1,7 @@ +# 👉 a Celsius temperature (as text), convert it to float, +# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line. +# TODO: your code here +tct = '55.1' +tcf = float(tct) +tff = tcf * 5/9 + 32 +print(tff) \ No newline at end of file diff --git a/a0.1/Assign/a01/a01-2.py b/a0.1/Assign/a01/a01-2.py new file mode 100644 index 0000000..ec7129a --- /dev/null +++ b/a0.1/Assign/a01/a01-2.py @@ -0,0 +1,10 @@ +# 👉 Store two numbers of **different types** (one int, one float), +# then print their sum, difference, product, true division, and floor division. +# TODO: your code here +ai = 8 +af = 6.1 +print('sum = ', ai + af) +print('difference = ', ai - af) +print('product = ', ai * af) +print('true division = ', ai / af) +print('floor division = ', ai // af) diff --git a/a0.1/Assign/a01/a01-3.py b/a0.1/Assign/a01/a01-3.py new file mode 100644 index 0000000..ff61a23 --- /dev/null +++ b/a0.1/Assign/a01/a01-3.py @@ -0,0 +1,10 @@ +# Start with an empty shopping list (list). +# 1. Append at least 4 items supplied in one line of user input (comma-separated). +# 2. Convert the list to a *tuple* called immutable_basket. +# 3. Print the third item using tuple indexing. +# TODO: your code here +lst = [] +lst = input('shopping items: ').split(',') +print(lst) +tpl = tuple(lst) +print(tpl[2]) \ No newline at end of file diff --git a/a0.1/Assign/a01/a01-4.py b/a0.1/Assign/a01/a01-4.py new file mode 100644 index 0000000..04f2afa --- /dev/null +++ b/a0.1/Assign/a01/a01-4.py @@ -0,0 +1,21 @@ +sample = "to be or not to be that is the question" +# 1. Build a set `unique_words` containing every distinct word. +# 2. Build a dict `word_counts` mapping each word to the number of times it appears. +# (Hint: .split() + a simple loop) +# 3. Print the two structures and explain (in a comment) their main difference. +# TODO: your code here +uw1 = [] +uw1 = sample.split() +uw2 = list(set(uw1)) +uw2.sort() +repeats=[] +for element in uw2: + count=uw1.count(element) + repeats.append(count) +uwd = {} +for i in range(len(repeats)): + uwd[uw2[i]] = repeats[i] +print(uw1) +print(uw2) +print(repeats) +print(uwd) \ No newline at end of file diff --git a/a0.1/Assign/a01/a01-5.py b/a0.1/Assign/a01/a01-5.py new file mode 100644 index 0000000..533b3a9 --- /dev/null +++ b/a0.1/Assign/a01/a01-5.py @@ -0,0 +1,11 @@ +def is_prime(n: int) -> bool: + """ + Return True if n is a prime number, else False. + 0 and 1 are *not* prime. + """ + # TODO: replace pass with your implementation + return isprime(n) + +# Quick self-check +from sympy import * +print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7] diff --git a/a0.1/Assign/a01/a01-6.py b/a0.1/Assign/a01/a01-6.py new file mode 100644 index 0000000..cd13568 --- /dev/null +++ b/a0.1/Assign/a01/a01-6.py @@ -0,0 +1,11 @@ +def greet(name: str, times: int = 1) -> None: + """Print `name`, capitalised, exactly `times` times on one line.""" + # TODO: your code here + nam = [] + for i in range(times): + nam.append(name.capitalize()) + print(*nam) + + +greet("alice") # Alice +greet("bob", times=3) # Bob Bob Bob diff --git a/a0.1/Assign/a01/a01-7.py b/a0.1/Assign/a01/a01-7.py new file mode 100644 index 0000000..64e3e31 --- /dev/null +++ b/a0.1/Assign/a01/a01-7.py @@ -0,0 +1,22 @@ +class Counter: + """Counts how many times `increment` is called.""" + # TODO: + # 1. In __init__, store an internal count variable starting at 0. + # 2. Method increment(step: int = 1) adds `step` to the count. + # 3. Method value() returns the current count. + def __init__(self): + self.count = 0 + self.step = 1 + + def increment(self, i): + self.count +=1 + + def value(self): + value = self.count + return value + + +c = Counter() +for i in range(5): + c.increment(i) +print(c.value()) # Expected: 5 diff --git a/a0.1/Assign/a01/a01-8.py b/a0.1/Assign/a01/a01-8.py new file mode 100644 index 0000000..690c462 --- /dev/null +++ b/a0.1/Assign/a01/a01-8.py @@ -0,0 +1,26 @@ +import math + +class Point: + def __init__(self, x, y): + self.x = x + self.y = y + + def distance_to(self, q): + distance = math.sqrt((self.x - q.x)**2 + (self.y - q.y)**2) + return distance + """ + A 2-D point supporting distance calculation. + Usage: + p = Point(3, 4) + q = Point(0, 0) + print(p.distance_to(q)) # 5.0 + """ + # TODO: + # 1. Store x and y as attributes. + # 2. Implement distance_to(other) using the Euclidean formula. + + +# Smoke test +p, q = Point(3, 4), Point(0, 0) +print(p.distance_to(q)) +# assert round(p.distance_to(q), 1) == 5.0 diff --git a/Assignment_01_Python___Nexus___LeiliRostamian.ipynb b/a0.1/Assignment_01_Python___Nexus___LeiliRostamian.ipynb similarity index 100% rename from Assignment_01_Python___Nexus___LeiliRostamian.ipynb rename to a0.1/Assignment_01_Python___Nexus___LeiliRostamian.ipynb diff --git a/a0.1/Assignments/Assignment 01/Assignment01_Atefeh-Amjadian.ipynb b/a0.1/Assignments/Assignment 01/Assignment01_Atefeh-Amjadian.ipynb new file mode 100644 index 0000000..eb35f34 --- /dev/null +++ b/a0.1/Assignments/Assignment 01/Assignment01_Atefeh-Amjadian.ipynb @@ -0,0 +1,485 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ], + "metadata": { + "id": "ZS5lje_18xC2" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ], + "metadata": { + "id": "u5vvtK-6840I" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ], + "metadata": { + "id": "UyNHtkGm9OgH" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "lmaiboJe8E15", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "e941380f-c29f-44bf-c5b2-7b21b3bdb0ac" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Enter your degree in Celsius:37.5\n", + "99.5\n" + ] + } + ], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 1/8 + 32) and print a nicely formatted line.\n", + "\n", + "Celsius=float(input(\"Enter your degree in Celsius:\"))\n", + "Fahrenheit = Celsius * 1.8 + 32\n", + "print(Fahrenheit)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Tiny Calculator\n" + ], + "metadata": { + "id": "BtsB8QKM9Xs_" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "num1=int(input(\"Enter your integer number:\"))\n", + "num2=float(input(\"Enter your float number:\"))\n", + "\n", + "print(\"Sum:\", num1 + num2)\n", + "print(\"Difference:\", num1 - num2)\n", + "print(\"Product:\", num1 * num2)\n", + "print(\"True Division:\", num1 / num2)\n", + "print(\"Floor Division:\", num1 // num2)\n" + ], + "metadata": { + "id": "DSR8aS-F9Z10", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "52cbc7eb-4cb6-4d92-fb29-eb3430c69151" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Enter your integer number:4\n", + "Enter your float number:2.5\n", + "Sum: 6.5\n", + "Difference: 1.5\n", + "Product: 10.0\n", + "True Division: 1.6\n", + "Floor Division: 1.0\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ], + "metadata": { + "id": "8JjHX4wy9dPz" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ], + "metadata": { + "id": "wRyJyhbt9uUr" + } + }, + { + "cell_type": "code", + "source": [ + "# Start with an empty shopping list\n", + "shopping_list = []\n", + "\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "items = input(\"Enter at least 4 items (comma-separated): \")\n", + "shopping_list.extend(items.split(\",\")) # Split and add to list\n", + "\n", + "# Remove any extra spaces\n", + "shopping_list = [item.strip() for item in shopping_list]\n", + "\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "immutable_basket = tuple(shopping_list)\n", + "\n", + "# 3. Print the third item using tuple indexing.\n", + "print(\"The third item is:\", immutable_basket[2])\n", + "\n" + ], + "metadata": { + "id": "1J4jcLct9yVO", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "0418e308-70ee-42bd-ea92-ee4b9e5fedbd" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Enter at least 4 items (comma-separated): Apple, Banana,Peach \n", + "The third item is: Peach\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Word Stats" + ], + "metadata": { + "id": "byKd8SFK9w2y" + } + }, + { + "cell_type": "code", + "source": [ + "sample = \"to be or not to be that is the question\"\n", + "\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "unique_words = set(sample.split())\n", + "\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "word_counts = {}\n", + "for word in sample.split():\n", + " word_counts[word] = word_counts.get(word, 0) + 1\n", + "\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "print(\"Unique words:\", unique_words)\n", + "print(\"Word counts:\", word_counts)\n" + ], + "metadata": { + "id": "4rLrxkPj90p3", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "8bca26c7-0307-4526-dc35-d4616791de58" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Unique words: {'to', 'question', 'is', 'that', 'be', 'not', 'or', 'the'}\n", + "Word counts: {'to': 2, 'be': 2, 'or': 1, 'not': 1, 'that': 1, 'is': 1, 'the': 1, 'question': 1}\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ], + "metadata": { + "id": "gbGMbtLf94M4" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Prime Tester" + ], + "metadata": { + "id": "QOsToPh2-AnZ" + } + }, + { + "cell_type": "code", + "source": [ + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " if n < 2:\n", + " return False\n", + " for i in range(2, int(n ** 0.5) + 1):\n", + " if n % i == 0:\n", + " return False\n", + " return True\n", + "\n", + "\n", + "# Quick self-check\n", + "print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n" + ], + "metadata": { + "id": "_pCU2mIH-DAi", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "2bebe241-04b7-4d36-8edd-f3faa87ca0f1" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[2, 3, 5, 7]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Repeater Greeter" + ], + "metadata": { + "id": "TBGXIzVV-E5u" + } + }, + { + "cell_type": "code", + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + " print((name + \" \") * times)\n", + "\n", + "\n", + "greet(\"alice\") # Alice\n", + "greet(\"bob\", times=3) # Bob Bob Bob\n" + ], + "metadata": { + "id": "ycvsNyqh-GRM", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "d3b51b90-c6c7-43c3-a943-4cc2b18af08e" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "alice \n", + "bob bob bob \n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ], + "metadata": { + "id": "y7K-GaBC-ImE" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Simple Counter" + ], + "metadata": { + "id": "NgKjsy8A-N3l" + } + }, + { + "cell_type": "code", + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " # TODO:\n", + " # 1. In __init__, store an internal count variable starting at 0.\n", + " def __init__(self):\n", + " self._count = 0\n", + " # 2. Method increment(step: int = 1) adds `step` to the count.\n", + " def increment(self, step: int = 1):\n", + " self._count += step\n", + " # 3. Method value() returns the current count.\n", + " def value(self):\n", + " return self._count\n", + "\n", + "\n", + "c = Counter()\n", + "for _ in range(5):\n", + " c.increment()\n", + "print(c.value()) # Expected: 5\n" + ], + "metadata": { + "id": "dPFvr_fe-OPR", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "1363ce9a-38e0-4fe2-8429-79c8fe60f5fb" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "5\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — 2-D Point with Distance" + ], + "metadata": { + "id": "U99aupan-Q8u" + } + }, + { + "cell_type": "code", + "source": [ + "import math\n", + "\n", + "class Point:\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + "\n", + " def __init__(self, x, y):\n", + " # 1. Store x and y as attributes\n", + " self.x = x\n", + " self.y = y\n", + "\n", + " def distance_to(self, other):\n", + " # 2. Euclidean distance formula: sqrt((x1 - x2)^2 + (y1 - y2)^2)\n", + " return math.sqrt((self.x - other.x) ** 2 + (self.y - other.y) ** 2)\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "# Smoke test\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "assert round(p.distance_to(q), 1) == 5.0\n", + "print(p.distance_to(q)) # 5.0" + ], + "metadata": { + "id": "OVh3GEzH-T0w", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "7f3289f2-2152-4b0d-f647-227e6fe91c4f" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "5.0\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/a0.1/Assignments/Assignment 02/Assignment02_Atefeh-Amjadian.ipynb b/a0.1/Assignments/Assignment 02/Assignment02_Atefeh-Amjadian.ipynb new file mode 100644 index 0000000..da29bf7 --- /dev/null +++ b/a0.1/Assignments/Assignment 02/Assignment02_Atefeh-Amjadian.ipynb @@ -0,0 +1,248 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 2 — NumPy, pandas & Matplotlib Essentials\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "\n", + "------------------------------------------------\n", + "\n", + "\n", + "Welcome to your first data-science sprint! In this three-part mini-project you’ll touch the libraries every ML practitioner leans on daily:\n", + "\n", + "1. NumPy — fast n-dimensional arrays\n", + "\n", + "2. pandas — tabular data wrangling\n", + "\n", + "3. Matplotlib — quick, customizable plots\n", + "\n", + "Each part starts with “Quick-start notes”, then gives you two bite-sized tasks. Replace every # TODO with working Python in a notebook or script, run it, and check your results. Happy hacking! 😊\n" + ], + "metadata": { + "id": "ZS5lje_18xC2" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1 · NumPy 🧮\n", + "Quick-start notes\n", + "Core object: ndarray (n-dimensional array)\n", + "\n", + "Create data: np.array, np.arange, np.random.*\n", + "\n", + "Summaries: mean, std, sum, max, …\n", + "\n", + "Vectorised math beats Python loops for speed\n", + "\n" + ], + "metadata": { + "id": "u5vvtK-6840I" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Mock temperatures\n", + "\n" + ], + "metadata": { + "id": "UyNHtkGm9OgH" + } + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "lmaiboJe8E15" + }, + "outputs": [], + "source": [ + "# 👉 # TODO: import numpy and create an array of 365\n", + "import numpy as np\n", + "# normally-distributed °C values (µ=20, σ=5) called temps\n", + "temps = np.random.normal(loc=20, scale=5, size=365)" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Average temperature\n" + ], + "metadata": { + "id": "BtsB8QKM9Xs_" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: print the mean of temps\n", + "print(\"Average temperature (°C):\", np.mean(temps))" + ], + "metadata": { + "id": "DSR8aS-F9Z10", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "99e8fe76-8ce3-46b3-cbf8-d1ff358b7ed7" + }, + "execution_count": 5, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Average temperature (°C): 19.64329590727664\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2 · pandas 📊\n", + "Quick-start notes\n", + "Main structures: DataFrame, Series\n", + "\n", + "Read data: pd.read_csv, pd.read_excel, …\n", + "\n", + "Selection: .loc[label], .iloc[pos]\n", + "\n", + "Group & summarise: .groupby(...).agg(...)\n", + "\n" + ], + "metadata": { + "id": "8JjHX4wy9dPz" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 3 — Load ride log\n" + ], + "metadata": { + "id": "wRyJyhbt9uUr" + } + }, + { + "cell_type": "code", + "source": [ + "import pandas as pd\n", + "# 👉 # TODO: read \"rides.csv\" into df\n", + "df = pd.read_csv(\"rides.csv\")\n", + "# (columns: date,temp,rides,weekday)\n" + ], + "metadata": { + "id": "1J4jcLct9yVO" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 4 — Weekday averages" + ], + "metadata": { + "id": "byKd8SFK9w2y" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: compute and print mean rides per weekday\n", + "weekday_means = df.groupby(\"weekday\")[\"rides\"].mean()\n", + "print(\"Mean rides per weekday:\\n\", weekday_means)\n" + ], + "metadata": { + "id": "4rLrxkPj90p3" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## 3 · Matplotlib 📈\n", + "Quick-start notes\n", + "Workhorse: pyplot interface (import matplotlib.pyplot as plt)\n", + "\n", + "Figure & axes: fig, ax = plt.subplots()\n", + "\n", + "Common plots: plot, scatter, hist, imshow\n", + "\n", + "Display inline in Jupyter with %matplotlib inline or %matplotlib notebook" + ], + "metadata": { + "id": "gbGMbtLf94M4" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 5 — Scatter plot" + ], + "metadata": { + "id": "QOsToPh2-AnZ" + } + }, + { + "cell_type": "code", + "source": [ + "import matplotlib.pyplot as plt\n", + "# 👉 # TODO: scatter-plot temperature (x) vs rides (y) from df\n", + "plt.scatter(df[\"temp\"], df[\"rides\"], alpha=0.5)\n", + "plt.xlabel(\"Temperature (°C)\")\n", + "plt.ylabel(\"Number of Rides\")\n", + "plt.title(\"Temperature vs Rides\")\n" + ], + "metadata": { + "id": "_pCU2mIH-DAi" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 6 — Show the figure\n", + "\n" + ], + "metadata": { + "id": "TBGXIzVV-E5u" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: call plt.show() so the plot appears\n", + "plt.show()\n" + ], + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file diff --git a/a0.1/Assignments/Assignment 03/Assignment03_Atefeh-Amjadian.ipynb b/a0.1/Assignments/Assignment 03/Assignment03_Atefeh-Amjadian.ipynb new file mode 100644 index 0000000..22cd459 --- /dev/null +++ b/a0.1/Assignments/Assignment 03/Assignment03_Atefeh-Amjadian.ipynb @@ -0,0 +1,383 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 3 — Functions, Derivatives & Gradients\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n", + "\n", + "\n", + "This assignment explores the mathematical foundation of machine learning: functions and their derivatives. You’ll visualize, analyze, and code up essential concepts every ML practitioner uses.\n", + "\n", + "\n", + "**👀🔎 What do you see?**\n", + "\n", + "Look at the snippet codes and:\n", + "\n", + "* Describe any patterns, surprises, or connections you notice.\n", + "\n", + "* Write a few sentences about your observations! 📝✨\n" + ], + "metadata": { + "id": "7wR0aAR-evto" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1. Log and Exp: Proving Inverse Relationship\n" + ], + "metadata": { + "id": "cCb1hk3xe0E6" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "KOxJ9f-3eu5F" + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "\n", + "# Show log(exp(x)) == x and exp(log(x)) == x for several values\n", + "x_vals = np.array([1, 2, 10, np.e])\n", + "print(\"x\\tlog(exp(x))\\texp(log(x))\")\n", + "for x in x_vals:\n", + " print(f\"{x:.2f}\\t{np.log(np.exp(x)):.2f}\\t\\t{np.exp(np.log(x)):.2f}\")\n", + "\n", + "# Edge case: try negative and zero values (show error/NaN for log)\n", + "y_vals = np.array([0, -1, 5])\n", + "print(\"\\nlog(exp(y)) for 0 and negative values:\")\n", + "print(np.log(np.exp(y_vals)))\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** The code demonstrates the inverse relationship between logarithmic and exponential functions: for $ x > 0 $, $ \\log(\\exp(x)) = x $ and $ \\exp(\\log(x)) = x $. Also, for zero or negative values, $ \\log(\\exp(y)) $ is valid due to $ \\exp(y) $ being positive, but direct $ \\log(y) $ for $ y \\leq 0 $ produces an error or NaN." + ], + "metadata": { + "id": "lVZufz08g1hI" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 2. Plotting Sine Functions Variations\n", + "\n" + ], + "metadata": { + "id": "mOAqtnk6fDH6" + } + }, + { + "cell_type": "code", + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "x = np.linspace(-2*np.pi, 2*np.pi, 100)\n", + "\n", + "# look at the description of each function and call the proper function from numpy\n", + "plt.plot(x, np.sin(x), label='sin(x)')\n", + "plt.plot(x, np.sin(2*x), label='sin(2x)')\n", + "plt.plot(x, np.sin(x/2), label='sin(x/2)')\n", + "plt.plot(x, np.sin(x)**2, label='sin²(x)')\n", + "plt.legend()\n", + "plt.title(\"Variations of Sine Functions\")\n", + "plt.show()\n" + ], + "metadata": { + "id": "DoWdSehie66R" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** $ \\sin(2x) $ doubles the frequency and halves the period, $ \\sin(x/2) $ doubles the period, and $ \\sin^2(x) $ is always non-negative with half the period of $ \\sin(x) $." + ], + "metadata": { + "id": "dMVcqrfihf0P" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 3. Subplots: Trig, Inverse, Exp, and Log" + ], + "metadata": { + "id": "4-5A1OkdfHXq" + } + }, + { + "cell_type": "code", + "source": [ + "x = np.linspace(-1, 1, 400)\n", + "x2 = np.linspace(0.1, 2, 400) # For log and exp\n", + "\n", + "# based on the number of subplots what should be the dimensions in the following line?\n", + "fig, axs = plt.subplots(2, 4, figsize=(16, 8))\n", + "axs[0,0].plot(x, np.sin(x)); axs[0,0].set_title(\"sin(x)\")\n", + "axs[0,1].plot(x, np.cos(x)); axs[0,1].set_title(\"cos(x)\")\n", + "axs[0,2].plot(x, np.tan(x)); axs[0,2].set_title(\"tan(x)\")\n", + "axs[0,3].plot(x, np.arcsin(x)); axs[0,3].set_title(\"arcsin(x)\")\n", + "axs[1,0].plot(x, np.arccos(x)); axs[1,0].set_title(\"arccos(x)\")\n", + "axs[1,1].plot(x, np.arctan(x)); axs[1,1].set_title(\"arctan(x)\")\n", + "axs[1,2].plot(x2, np.exp(x2)); axs[1,2].set_title(\"exp(x)\")\n", + "axs[1,3].plot(x2, np.log(x2)); axs[1,3].set_title(\"log(x)\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 827 + }, + "id": "DxocsCu6fGOR", + "outputId": "df49202f-906e-4e43-a06a-74a119e1c274" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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+ }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** Using appropriate ranges (e.g., [-1, 1] for trigonometric functions and [0.1, 2] for logarithm) and automatic spacing with plt.tight_layout() ensures clear and tidy visualizations." + ], + "metadata": { + "id": "thpsEzFVikPh" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 4. Features of the Sigmoid Function" + ], + "metadata": { + "id": "WAidrU51fMqB" + } + }, + { + "cell_type": "code", + "source": [ + "\n", + "def sigmoid(x):\n", + " return 1 / (1 + np.exp(-x))\n", + "\n", + "x = np.linspace(-10, 10, 200)\n", + "y = sigmoid(x)\n", + "\n", + "plt.plot(x, y)\n", + "plt.title(\"Sigmoid Function\")\n", + "plt.xlabel(\"x\")\n", + "plt.ylabel(\"σ(x)\")\n", + "plt.grid(True)\n", + "plt.show()\n", + "\n", + "print(\"Range:\", (y.min(), y.max()), \"| At x=0:\", sigmoid(0))\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 490 + }, + "id": "lehJV_vNfLXx", + "outputId": "110ead11-0dbe-4178-c81e-2da10c907b59" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Range: (np.float64(4.5397868702434395e-05), np.float64(0.9999546021312976)) | At x=0: 0.5\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** The code demonstrates that the sigmoid function $ \\sigma(x) = \\frac{1}{1 + e^{-x}} $ maps inputs to the range (0, 1), with a value of 0.5 at $ x=0 $." + ], + "metadata": { + "id": "DUONuiAxilL0" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 5. Derivatives of Famous Functions" + ], + "metadata": { + "id": "1FjRt_31fXsx" + } + }, + { + "cell_type": "code", + "source": [ + "x = np.linspace(-3, 3, 400)\n", + "plt.plot(x, x**2, label=\"x²\")\n", + "plt.plot(x, 2*x, '--', label=\"d/dx x²\")\n", + "\n", + "x = np.linspace(0, 3, 400)\n", + "plt.plot(x, np.exp(x), label=\"exp(x)\")\n", + "plt.plot(x, np.exp(x), '--', label=\"d/dx exp(x)\")\n", + "\n", + "plt.plot(x, np.log(x+0.1), label=\"log(x)\")\n", + "plt.plot(x, 1/(x+0.1), '--', label=\"d/dx log(x)\")\n", + "\n", + "plt.legend()\n", + "plt.title(\"Functions and Their Derivatives\")\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "vyyGBuHRfZ4n", + "outputId": "a6b15d53-8204-4fec-ca20-e968c46b6f70" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** The code visually demonstrates the relationship between the functions $ x^2 $, $ \\exp(x) $, and $ \\log(x) $ and their derivatives. The derivative of $ x^2 $ is linear ($ 2x $), of $ \\exp(x) $ is itself ($ e^x $), and of $ \\log(x) $ is fractional ($ \\frac{1}{x} $)" + ], + "metadata": { + "id": "DURup9u5il4-" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 6. Gradient of Selected Functions" + ], + "metadata": { + "id": "w3QIKTZQf1ZK" + } + }, + { + "cell_type": "code", + "source": [ + "# search and learn more about sumpy\n", + "import sympy as sp\n", + "\n", + "# Define symbolic variables\n", + "x, y = sp.symbols('x y')\n", + "\n", + "# Define the function\n", + "f = x**2 * y + sp.sin(y)\n", + "\n", + "# Compute partial derivatives\n", + "df_dx = sp.diff(f, x)\n", + "df_dy = sp.diff(f, y)\n", + "\n", + "print(\"Function: f(x, y) =\", f)\n", + "print(\"Partial derivative w.r.t x (∂f/∂x):\", df_dx)\n", + "print(\"Partial derivative w.r.t y (∂f/∂y):\", df_dy)\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Eeudgf3-f0Ie", + "outputId": "5d6aa60c-7460-4022-c849-3e5e149a9c53" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Function: f(x, y) = x**2*y + sin(y)\n", + "Partial derivative w.r.t x (∂f/∂x): 2*x*y\n", + "Partial derivative w.r.t y (∂f/∂y): x**2 + cos(y)\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** The code illustrates how SymPy can symbolically compute partial derivatives of a multivariable function like $ f(x, y) = x^2 y + \\sin(y) $, providing precise results without manual calculations, which is highly useful for mathematical analysis." + ], + "metadata": { + "id": "wDlIJkmYimg9" + } + } + ] +} \ No newline at end of file diff --git a/a0.1/Assignments/a0.1/AI-DS_Nexus__A0_1__RezaShokr.ipynb b/a0.1/Assignments/a0.1/AI-DS_Nexus__A0_1__RezaShokr.ipynb new file mode 100644 index 0000000..50e4a3c --- /dev/null +++ b/a0.1/Assignments/a0.1/AI-DS_Nexus__A0_1__RezaShokr.ipynb @@ -0,0 +1,468 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "ZS5lje_18xC2" + }, + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u5vvtK-6840I" + }, + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UyNHtkGm9OgH" + }, + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "id": "lmaiboJe8E15" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "62.611111111111114\n" + ] + } + ], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "# TODO: your code here\n", + "tct = '55.1'\n", + "tcf = float(tct)\n", + "tff = tcf * 5/9 + 32\n", + "print(tff)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BtsB8QKM9Xs_" + }, + "source": [ + "### Task 2 — Tiny Calculator\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "id": "DSR8aS-F9Z10" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "sum = 14.1\n", + "difference = 1.9000000000000004\n", + "product = 48.8\n", + "true division = 1.3114754098360657\n", + "floor division = 1.0\n" + ] + } + ], + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "# TODO: your code here\n", + "ai = 8\n", + "af = 6.1\n", + "print('sum = ', ai + af)\n", + "print('difference = ', ai - af)\n", + "print('product = ', ai * af)\n", + "print('true division = ', ai / af)\n", + "print('floor division = ', ai // af)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8JjHX4wy9dPz" + }, + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wRyJyhbt9uUr" + }, + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "id": "1J4jcLct9yVO" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['breed', ' r', ' y', ' u']\n", + " y\n" + ] + } + ], + "source": [ + "# Start with an empty shopping list (list).\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "# 3. Print the third item using tuple indexing.\n", + "# TODO: your code here\n", + "lst = []\n", + "lst = input('shopping items: ').split(',')\n", + "print(lst)\n", + "tpl = tuple(lst)\n", + "print(tpl[2])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "byKd8SFK9w2y" + }, + "source": [ + "### Task 2 — Word Stats" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "4rLrxkPj90p3" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['to', 'be', 'or', 'not', 'to', 'be', 'that', 'is', 'the', 'question']\n", + "['be', 'is', 'not', 'or', 'question', 'that', 'the', 'to']\n", + "[2, 1, 1, 1, 1, 1, 1, 2]\n", + "{'be': 2, 'is': 1, 'not': 1, 'or': 1, 'question': 1, 'that': 1, 'the': 1, 'to': 2}\n" + ] + } + ], + "source": [ + "sample = \"to be or not to be that is the question\"\n", + "\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "# TODO: your code here\n", + "uw1 = []\n", + "uw1 = sample.split()\n", + "uw2 = list(set(uw1))\n", + "uw2.sort()\n", + "repeats=[]\n", + "for element in uw2:\n", + " count=uw1.count(element)\n", + " repeats.append(count)\n", + "uwd = {}\n", + "for i in range(len(repeats)):\n", + " uwd[uw2[i]] = repeats[i]\n", + "print(uw1)\n", + "print(uw2)\n", + "print(repeats)\n", + "print(uwd)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gbGMbtLf94M4" + }, + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QOsToPh2-AnZ" + }, + "source": [ + "### Task 1 — Prime Tester" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "_pCU2mIH-DAi" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2, 3, 5, 7]\n" + ] + } + ], + "source": [ + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " # TODO: replace pass with your implementation\n", + " return isprime(n)\n", + " \n", + "# Quick self-check\n", + "from sympy import *\n", + "print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "TBGXIzVV-E5u" + }, + "source": [ + "### Task 2 — Repeater Greeter" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Alice\n", + "Bob Bob Bob\n" + ] + } + ], + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + " # TODO: your code here\n", + " nam = []\n", + " for i in range(times):\n", + " nam.append(name.capitalize())\n", + " print(*nam)\n", + "\n", + "\n", + "greet(\"alice\") # Alice\n", + "greet(\"bob\", times=3) # Bob Bob Bob\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "y7K-GaBC-ImE" + }, + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NgKjsy8A-N3l" + }, + "source": [ + "### Task 1 — Simple Counter" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "dPFvr_fe-OPR" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "5\n" + ] + } + ], + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " # TODO:\n", + " # 1. In __init__, store an internal count variable starting at 0.\n", + " # 2. Method increment(step: int = 1) adds `step` to the count.\n", + " # 3. Method value() returns the current count.\n", + " def __init__(self):\n", + " self.count = 0\n", + " self.step = 1\n", + "\n", + " def increment(self, i):\n", + " self.count +=1\n", + " \n", + " def value(self):\n", + " value = self.count\n", + " return value\n", + " \n", + "\n", + "c = Counter()\n", + "for i in range(5):\n", + " c.increment(i)\n", + "print(c.value()) # Expected: 5\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "U99aupan-Q8u" + }, + "source": [ + "### Task 2 — 2-D Point with Distance" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "OVh3GEzH-T0w" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "5.0\n" + ] + } + ], + "source": [ + "import math\n", + "\n", + "class Point:\n", + " def __init__(self, x, y):\n", + " self.x = x\n", + " self.y = y\n", + "\n", + " def distance_to(self, q):\n", + " distance = math.sqrt((self.x - q.x)**2 + (self.y - q.y)**2)\n", + " return distance\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + " # TODO:\n", + " # 1. Store x and y as attributes.\n", + " # 2. Implement distance_to(other) using the Euclidean formula.\n", + "\n", + "\n", + "# Smoke test\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "print(p.distance_to(q))\n", + "# assert round(p.distance_to(q), 1) == 5.0\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.7" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/Assignments/a0.2/AI-DS_Nexus__A0_2__RezaShokr.ipynb b/a0.1/Assignments/a0.2/AI-DS_Nexus__A0_2__RezaShokr.ipynb new file mode 100644 index 0000000..3beea20 --- /dev/null +++ b/a0.1/Assignments/a0.2/AI-DS_Nexus__A0_2__RezaShokr.ipynb @@ -0,0 +1,326 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "ZS5lje_18xC2" + }, + "source": [ + "# 📚 Assignment 2 — NumPy, pandas & Matplotlib Essentials\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "\n", + "------------------------------------------------\n", + "\n", + "\n", + "Welcome to your first data-science sprint! In this three-part mini-project you’ll touch the libraries every ML practitioner leans on daily:\n", + "\n", + "1. NumPy — fast n-dimensional arrays\n", + "\n", + "2. pandas — tabular data wrangling\n", + "\n", + "3. Matplotlib — quick, customizable plots\n", + "\n", + "Each part starts with “Quick-start notes”, then gives you two bite-sized tasks. Replace every # TODO with working Python in a notebook or script, run it, and check your results. Happy hacking! 😊\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u5vvtK-6840I" + }, + "source": [ + "## 1 · NumPy 🧮\n", + "Quick-start notes\n", + "Core object: ndarray (n-dimensional array)\n", + "\n", + "Create data: np.array, np.arange, np.random.*\n", + "\n", + "Summaries: mean, std, sum, max, …\n", + "\n", + "Vectorised math beats Python loops for speed\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UyNHtkGm9OgH" + }, + "source": [ + "### Task 1 — Mock temperatures\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "lmaiboJe8E15" + }, + "outputs": [], + "source": [ + "# 👉 # TODO: import numpy and create an array of 365\n", + "# normally-distributed °C values (µ=20, σ=5) called temps\n", + "import numpy as np\n", + "temps = np.random.normal(loc=20, scale=5, size=365)\n", + "print(temps)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BtsB8QKM9Xs_" + }, + "source": [ + "### Task 2 — Average temperature\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "DSR8aS-F9Z10" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "19.524055016516442\n" + ] + } + ], + "source": [ + "# 👉 # TODO: print the mean of temps\n", + "m_temps = temps.mean()\n", + "print(m_temps)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8JjHX4wy9dPz" + }, + "source": [ + "## 2 · pandas 📊\n", + "Quick-start notes\n", + "Main structures: DataFrame, Series\n", + "\n", + "Read data: pd.read_csv, pd.read_excel, …\n", + "\n", + "Selection: .loc[label], .iloc[pos]\n", + "\n", + "Group & summarise: .groupby(...).agg(...)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wRyJyhbt9uUr" + }, + "source": [ + "### Task 3 — Load ride log\n" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "id": "1J4jcLct9yVO" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "RangeIndex: 366 entries, 0 to 365\n", + "Data columns (total 4 columns):\n", + " # Column Non-Null Count Dtype \n", + "--- ------ -------------- ----- \n", + " 0 date 366 non-null object\n", + " 1 temp 366 non-null int64 \n", + " 2 rides 366 non-null int64 \n", + " 3 weekday 366 non-null object\n", + "dtypes: int64(2), object(2)\n", + "memory usage: 11.6+ KB\n" + ] + } + ], + "source": [ + "# 👉 # TODO: read \"rides.csv\" into df\n", + "# (columns: date,temp,rides,weekday)\n", + "import numpy as np\n", + "import pandas as pd\n", + "df = pd.read_csv('rides.csv')\n", + "# df.shape\n", + "# df.head()\n", + "df.info()\n", + "# df.describe(include = 'all')\n", + "# df.columns\n", + "# df.index\n", + "# type(df)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "byKd8SFK9w2y" + }, + "source": [ + "### Task 4 — Weekday averages" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "id": "4rLrxkPj90p3" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "weekday\n", + "Friday 939.094340\n", + "Monday 959.173077\n", + "Saturday 1003.509434\n", + "Sunday 946.730769\n", + "Thursday 933.634615\n", + "Tuesday 917.538462\n", + "Wednsday 1025.096154\n", + "Name: rides, dtype: float64" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# 👉 # TODO: compute and print mean rides per weekday\n", + "\n", + "# df['rides'].sum()\n", + "# df['rides'].count()\n", + "# df['rides'].sum()/df['rides'].count()\n", + "# df['rides'].mean()\n", + "df.groupby('weekday')['rides'].mean()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gbGMbtLf94M4" + }, + "source": [ + "## 3 · Matplotlib 📈\n", + "Quick-start notes\n", + "Workhorse: pyplot interface (import matplotlib.pyplot as plt)\n", + "\n", + "Figure & axes: fig, ax = plt.subplots()\n", + "\n", + "Common plots: plot, scatter, hist, imshow\n", + "\n", + "Display inline in Jupyter with %matplotlib inline or %matplotlib notebook" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QOsToPh2-AnZ" + }, + "source": [ + "### Task 5 — Scatter plot" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "id": "_pCU2mIH-DAi" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 👉 # TODO: scatter-plot temperature (x) vs rides (y) from df\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "x = df['temp']\n", + "y = df['rides']\n", + "plt.scatter(y, x)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "TBGXIzVV-E5u" + }, + "source": [ + "### Task 6 — Show the figure\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "outputs": [], + "source": [ + "# 👉 # TODO: call plt.show() so the plot appears\n", + "plt.show()\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.7" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/Assignments/a0.2/rides.csv b/a0.1/Assignments/a0.2/rides.csv new file mode 100644 index 0000000..2c5bb33 --- /dev/null +++ b/a0.1/Assignments/a0.2/rides.csv @@ -0,0 +1,367 @@ +date,temp,rides,weekday +27-09-24,32,1111,Friday +28-09-24,13,886,Saturday +29-09-24,13,740,Sunday +30-09-24,42,997,Monday +01-10-24,25,712,Tuesday +02-10-24,5,1400,Wednsday +03-10-24,37,986,Thursday +04-10-24,4,873,Friday +05-10-24,36,1376,Saturday +06-10-24,41,1399,Sunday +07-10-24,3,1000,Monday +08-10-24,24,532,Tuesday +09-10-24,6,814,Wednsday +10-10-24,6,718,Thursday +11-10-24,31,1199,Friday +12-10-24,33,838,Saturday +13-10-24,40,1123,Sunday +14-10-24,27,532,Monday +15-10-24,45,742,Tuesday +16-10-24,19,485,Wednsday +17-10-24,11,996,Thursday +18-10-24,24,1421,Friday +19-10-24,36,1091,Saturday +20-10-24,8,1137,Sunday +21-10-24,44,436,Monday +22-10-24,23,1313,Tuesday +23-10-24,39,1355,Wednsday +24-10-24,30,1155,Thursday +25-10-24,43,891,Friday +26-10-24,-6,1357,Saturday +27-10-24,20,995,Sunday +28-10-24,5,1218,Monday +29-10-24,24,815,Tuesday +30-10-24,17,1418,Wednsday +31-10-24,37,697,Thursday +01-11-24,40,448,Friday +02-11-24,21,1473,Saturday +03-11-24,43,1214,Sunday +04-11-24,-10,897,Monday +05-11-24,-1,558,Tuesday +06-11-24,38,1333,Wednsday +07-11-24,-3,589,Thursday +08-11-24,36,481,Friday +09-11-24,12,899,Saturday +10-11-24,41,1175,Sunday +11-11-24,23,600,Monday +12-11-24,2,629,Tuesday +13-11-24,17,623,Wednsday +14-11-24,-1,618,Thursday +15-11-24,1,1328,Friday +16-11-24,-8,1037,Saturday +17-11-24,14,1172,Sunday +18-11-24,44,936,Monday +19-11-24,-7,739,Tuesday +20-11-24,7,997,Wednsday +21-11-24,26,497,Thursday +22-11-24,17,713,Friday +23-11-24,45,1078,Saturday +24-11-24,4,723,Sunday +25-11-24,32,404,Monday +26-11-24,24,1199,Tuesday +27-11-24,0,1461,Wednsday +28-11-24,15,970,Thursday +29-11-24,33,828,Friday +30-11-24,25,892,Saturday +01-12-24,12,1306,Sunday 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"7wR0aAR-evto" + }, + "source": [ + "# 📚 Assignment 3 — Functions, Derivatives & Gradients\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n", + "\n", + "\n", + "This assignment explores the mathematical foundation of machine learning: functions and their derivatives. You’ll visualize, analyze, and code up essential concepts every ML practitioner uses.\n", + "\n", + "\n", + "**👀🔎 What do you see?**\n", + "\n", + "Look at the snippet codes and:\n", + "\n", + "* Describe any patterns, surprises, or connections you notice.\n", + "\n", + "* Write a few sentences about your observations! 📝✨\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "cCb1hk3xe0E6" + }, + "source": [ + "## 1. Log and Exp: Proving Inverse Relationship\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "KOxJ9f-3eu5F", + "outputId": "31d8ce39-8670-4dc4-9053-6c6aaf10d1ff" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "x\tlog(exp(x))\texp(log(x))\n", + "1.00\t1.00\t\t1.00\n", + "2.00\t2.00\t\t2.00\n", + "10.00\t10.00\t\t10.00\n", + "2.72\t2.72\t\t2.72\n", + "\n", + "log(exp(y)) for 0 and negative values:\n", + "[ 0. -1. 5.]\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "\n", + "# Show log(exp(x)) == x and exp(log(x)) == x for several values\n", + "x_vals = np.array([1, 2, 10, np.e])\n", + "print(\"x\\tlog(exp(x))\\texp(log(x))\")\n", + "for x in x_vals:\n", + " print(f\"{x:.2f}\\t{np.log(np.exp(x)):.2f}\\t\\t{np.exp(np.log(x)):.2f}\")\n", + "\n", + "# Edge case: try negative and zero values (show error/NaN for log)\n", + "y_vals = np.array([0, -1, 5])\n", + "print(\"\\nlog(exp(y)) for 0 and negative values:\")\n", + "print(np.log(np.exp(y_vals)))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "lVZufz08g1hI" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "mOAqtnk6fDH6" + }, + "source": [ + "## 2. Plotting Sine Functions Variations\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "DoWdSehie66R", + "outputId": "a83a3ade-6ca7-425c-9fa8-59ca9c343d9a" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "x = np.arange(-2*np.pi, 2*np.pi, 0.1)\n", + "\n", + "# look at the description of each function and call the proper function from numpy\n", + "plt.plot(x, np.sin(x), label='sin(x)')\n", + "plt.plot(x, np.sin(2*x), label='sin(2x)')\n", + "plt.plot(x, np.sin(x/2), label='sin(x/2)')\n", + "plt.plot(x, np.sin(x)**2, label='sin²(x)')\n", + "plt.legend()\n", + "plt.title(\"Variations of Sine Functions\")\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "dMVcqrfihf0P" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "4-5A1OkdfHXq" + }, + "source": [ + "## 3. Subplots: Trig, Inverse, Exp, and Log" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 807 + }, + "id": "DxocsCu6fGOR", + "outputId": "5864a5cc-5776-45bd-99f7-028c64e301af" + }, + "outputs": [ + { + "data": { + "image/png": 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SUZ06dVK5cuV07NgxjRkzRjNmzNCUKVPs97t3764yZcrYHhnGI488YldRvffee7r22mv1ww8/aPHixfriiy9yfewtqxSzXxdti1ZSSpqNogEAAADZyfR06/vdEm07FG/7uj3Zobr6tKkkL3q8ZZvx48fryJEjuvfee895jFl4deriK1PaFgA8zdo9MZqx4aDMFPPAFZXkSQHsJUuW2GtQ6by8vNSuXTvNmzfvnI+LjY1V+fLl7QLcRo0a6Y033lDt2rUzPZZ5AsCFOHAswTYB/2nJLkWeUmqqXGigbm1c1paayu99M9wmsHHgwAEbvNi7d69CQkJUr149G9Qw9W2NHTt22MkmXcuWLW3w4/nnn9ezzz6rqlWr2hOROnXq5PrYq5cMUrFCfjoUl6SlOw7rskonAh0AAABAdvhlyS49N36VLT1VpkhBfXRnQzUuX9TpYXmcr7/+2i62Kl269DmPMQutXn755VwdFwDktqEnszWurVda5YsVkqeIioqyfZVKlix52n5zf/369efsB2uyOcx1KtMT9t1337XXpNasWaOyZcuedTzzBIBzSU5N0z/rD+inxbs0fcMBpaadqDUV4OulznVLqWvjCDWvGMrCJXcLbJiTiPMx2RtnMg398kJTP5OSaMoAjFu2W1PW7COwAQAAgGyRmJKqV35fq9ELdtj7V1Qrrg/vaKAigX5OD83jbN++XX///bd+/fXX8x5nVvmaUlWnrsSNiIjIhRECQO6IPHBMk1bttdsPtqXctil5fmrZcxPUqFmzpu0H++qrr551PPMEgDNt3H/Mlpoy146jYpMy9jcsV0S3NYnQdfVKKSiAUlMe1WPDnVxbt5T94zST/wvX1iKyBgAAgEuy+8hxPfjdEq3YdVSm3cMjV1fVw1dV5XNmDhkxYoRtGmvK3J6Pv7+/vQGApxo6fbNtWNu+VknVLBUsTxIWFiZvb2/t37//tP3m/oX20PD19VXDhg0VGXkiq+VMzBMAjLjEFNsX7/tFO7Vi55GM/aY33i2Nyqhrk7KqUiLI0TF6EgIbl6BNtTAF+ftof0yiFm8/bJu7AAAAABfj340H9cgPy3Q4PllFAn015PYGalu9hNPD8limZroJbPTo0UM+PpwWAci/tkbF6bflu+32Q1dVlafx8/NT48aNNW3aNHXp0iVjDjD3+/fvf0HPYUpZrVq1Sp07d87h0QJwR2v2HNWYBTv02/I9GY3AfbwK6KoaJWx2xhXVi8vXm/7M2Y1P8JfA38db19QuqV+X7tYfK/cQ2AAAAECWpaW5NHR6pN7/e6NdLVu3TIg+vbsRjQNzmClBZXr63XfffU4PBQAc9en0SJmS71dWL666ZUPkiUyZKBPIbtKkiZo1a6YhQ4YoLi5OPXv2tN83/V/LlClje2UYr7zyii677DJVqVJFR44c0TvvvGPLF95///0O/yYA8or4pBPZGSagYbKt01UoFqg7m5XTzY3KqngQmVw5icDGJbq+Xmkb2Ji4cq+eu7aW/HyIvgEAAODCHEtI1mNjl+vvdQfs/TubRWjQ9bUV4Ovt9NA8Xvv27eUykSQAyMd2RsfbEtvGQ1d7XrZGuttvv10HDx7Uiy++qH379qlBgwaaPHlyRkNxE+j28vr/6zmHDx9W79697bFFixa1GR9z585VrVq1HPwtAOQFa/fEaMzC7Rq/7P+zM3y9C6hD7XDd1ayc7cNMGdncQWDjErWuGqYSQf46cCxRU9fu17X1Sjk9JAAAALhJ6Y/e3yxW5IFYuzjmtS51bKo6AAC55bOZm5WS5lKbqmFqVK6oPJkpO3Wu0lMzZsw47f4HH3xgbwCQnp0xccVejV6447TeGeVPZmfc2ris7aOB3EVg4xKZ+mjmBPST6ZH6fuEOAhsAAAC4oH4a/ccsVUxCisKDA/RF98aqV7aI08MCAOQje44c10+Ld3psbw0AuFRmAdK387bZaj3HTumdYbMzmpdTC7IzHEVgIxvc3jRCQ2dEanZklLZFxalCWCGnhwQAAIA8yJQ++nr2Vr0xaZ2tZ96oXBENu6exSgQHOD00AEA+8/nMzUpOdal5xVB6hgLASalpLk1bt1/fzNtur/WmKxf6/9kZ9M7IGwhsZAPT2PHyqsU1c+NBfTt/u164jpqLAAAAOF1CcqqeHbfKrvgybmtSVq92qSN/H/ppAABy14GYBH2/6ES2xiMe3FsDAC7UodhEjV28U6Pn79DuI8ftvgIFpKtrlFT3FuXVukoY2Rl5DIGNbNKzVQUb2Phh4Q49fHVVhRT0dXpIAAAAyCP2HU3Q/75bYmvyensV0AvX1lSPlhVUwJwtAQCQy774d4uSUtLUuHxRtahczOnhAIBjzOfzUfO2aeLKvfZ90Sga6Kvbm5bT3c3L2QXtyJu8nB6Ap7iiWnFVLxmkuKRU22sDAJB9hg4dqgoVKiggIEDNmzfXwoULz3v8kSNH1K9fP5UqVUr+/v6qVq2aJk2alGvjBYAzT5Zu+GS2/Vok0Fff3NdM97aqSFADAOCIqNhEjV5w4rrFQ1dVYT4CkC8zqX9duks3Dp1jbyaj2gQ16pYJ0Tu31tO8gVfrmU41CGrkcWRsZBPzQeD+NhX15M8rNWLOVt3bsoICfCkrAACXauzYsRowYICGDRtmgxpDhgxRhw4dtGHDBpUoUeKs45OSknTNNdfY7/38888qU6aMtm/friJFaMoLIPf9uWqvHvtxuRKS01StZGF91b2pyhXjBAkA4JyvZm3V8eRU1SsbYhdpAkB+cfBYom0jMHr+dh2KS7L7/Ly9dG29UrbcVIOIIgR73QiBjWx0Q4PS+mDqRu05mqDv5m/X/W0qOT0kAHB777//vnr37q2ePXva+ybA8ccff2j48OF65plnzjre7I+OjtbcuXPl63uiLKDJ9gCA3G4S/vm/W/Tmn+vt/SurF9fHdzVSYX8+fgMAnM3W+GbeNrv98FVVuYAHIF9YtzdGX8/eqgnL9ygp9US5qVIhAbrnsvK6vWmEwgrTDNwdUYoqG5nGj6a/hvHZjM2KS0xxekgA4NZM9sWSJUvUrl27jH1eXl72/rx58zJ9zIQJE9SiRQtbiqpkyZKqU6eO3njjDaWmpubiyAHkZ8mpaXrml1UZQQ2Tyftl9yYENQAAeaK3RnzSiWyNq2uenf0MAJ4iLc2lf9bv191fzVenD2fp5yW7bFCjYbki+uSuhpr11JXqd2UVghpujLOrbHZL47IaNnOzth2KtyWp+l91ItABAMi6qKgoG5AwAYpTmfvr15+4YHimLVu26J9//tHdd99t+2pERkbqwQcfVHJysgYNGpTpYxITE+0tXUxMTDb/JgDyi6Pxyeo7eonmbj4krwLSi9fVsv00AABw2oFjCRnZGo9dU41sDQAeKT4pRb8s3W2vy245GGf3eXsVUMc64erVuqIalSvq9BCRTQhsZDNfby/7AeGRH5bb8gPdLqugkMATpVAAADkvLS3N9tf44osv5O3trcaNG2v37t165513zhnYGDx4sF5++eVcHysAz7LjULx6jlyozQfjVMjPWx/f1VBX1Tg9MAsAgFOGzdhiez6Z1cpt6a0BwMPsO3oieDt6wQ4dPZ5s9wX5++iOZhHq0bKCyhalz52nIbCRA66vV1qfTt+sDfuP6YtZm/VkhxpODwkA3FJYWJgNTuzfv/+0/eZ+eHh4po8pVaqU7a1hHpeuZs2a2rdvny1t5efnd9ZjBg4caBuUn5qxERERka2/CwDPtmR7tHp/s0TRcUm2Xu/XPZqqVulgp4cFAIC1PyZB3y3YbrcHkK0BwINs2HdMn8/crAkr9iglzWX3lQsNVM9WFdS1SQTlYD0YPTZygJdXAQ1oX81uD5+9TXuPHnd6SADglkwQwmRcTJs27bSMDHPf9NHITKtWrWz5KXNcuo0bN9qAR2ZBDcPf31/BwcGn3QDgQk1evVd3frnABjXqlAnW+H6tCGoAAPKUodMjlZSSpqYViqp1lTCnhwMAl8Tlcmnh1mjdN3KROgz5V78u222DGs0qhOrzbo01/Ym26tmqIkEND8f/3RzSvlZJNSlfVIu3H9Zrf6zT0LsaOT0kAHBLJpOiR48eatKkiZo1a6YhQ4YoLi5OPXv2tN/v3r27ypQpY8tJGX379tUnn3yiRx55RA899JA2bdpkm4c//PDDDv8mADyRSXcfNGGNXC6pXc2S+ujOBgr04yM2ACDv2H3kuH5YuNNu01sDgLs3BP973X7b33jpjiN2n3lL61QnXP+7vLLqRxRxeojIRZx15RDzQeGVG+vouo9n6Y+Ve3VXsyi1YlUEAGTZ7bffroMHD+rFF1+05aQaNGigyZMnZzQU37Fjh7y8/j8B0ZSQmjJlih577DHVq1fPBj1MkOPpp5928LcA4ImrxN6ZskGfzths79/VvJxeuaG2fLxJiAYA5MFsjdQ0XVYpVC0rc10CgPsxGWfjl+/WF/9uUeSBWLvPz9tLtzQuqz6XV1LFsEJODxEOILCRg0wJgm6XldeoedvtSr5JD7eRnw8nuwCQVf3797e3zMyYMeOsfaZM1fz583NhZADyo+TUND3zyyr9snRXRq3yh66qwgpYAECeszM6Xj8uOpGtMeCa6k4PBwCyJDYxRd8v2KGvZ2/VvpiEjIbg97Qob3tolAgKcHqIcBCBjRw2oH11TVy510YTR83dpt6XV3J6SAAAALhIcYkpenD0Us3ceFDeXgX0xk11dHvTck4PCwCATH3yT6StO9+mapiaVQx1ejgAcEGOxCdp+JxtGjlnq2ISUuy+EkH+6tW6os2UDgrwdXqIyAMIbOSwkIK+erpTDT3180oN+XujOtUNV9migU4PCwAAAFkUFZtoGxSu3HVUAb5e+vTuRrqqxomyeAAA5DXbD8Xp55PZhY+2q+b0cADggj5vfzVrq76dt01xSal2X6XihfS/yyupS8My8vfxdnqIyEMIbOSCWxuVtamfppH4wF9X6Zv7mlGqAAAAwM0uDnUfvlDbD8UrtJCfvu7RRA3LFXV6WAAAnNOH0zYpNc2lttWLq3F55iwAedeBmAR9/u8WjV6wXQnJaXZfzVLBttxrx9rh8vLiOirORmAjF5h/fG/fWk+dPpylWZui9MOinbqzGSULAAAA3MG6vTHq9vVCu4IsIrSgRvVspkrFCzs9LAAAzmnT/mMav2y33X6MbA0AedSeI8c1bOZme63UNAg36pUN0UNXVVW7miVYGI7zIrCRS8zJ75Mdquu1P9bp9T/W6fJqxVWmSEGnhwUAAIDzWLL9sHqOWGhr+5pVY6Pua0qTQgBAnvfuXxuU5pI61C6p+hFFnB4OAJxmx6F4fTYzUj8v2aXkVJfdZzLLTIbGFdWKE9DABSGwkYt6tqqoP1fvsyfIz/yykpJUAAAAedisTQfV55slOp6cqibli+rre5va/mkAAORly3ce0ZQ1+2UqtzzRvrrTwwGADLsOx+vjaZG2/48plWdcVilUD19VVS0qF+M6KbKEwEYu8j5ZkqrzyZJUo+Zu072tKjo9LAAAAJzhz1V79fAPy+wKMpNpO+yeRgr046MzACDve3vyevv1poZlVbVkkNPDAQDtO5qgT6Zv0thFOzMyNNpUDdPDV1dV0wqhTg8Pboqzs1xWuXhhPdu5pgZNWKM3Jq1Xs4rFVKt0sNPDAgAAwEk/Lt5ps2vNIrJr65bSB7c3kJ+Pl9PDAgDgP83eFKW5mw/Jz9tLj7ar6vRwAORzB48l6rMZm/Xdgu0ZPTRaVSmmAddUU+PyBDRwaQhsOKB7i/K2tMHf6w7ooe+XauJDbVTQz9vpYQEAAOR7X8/eqlcnrrXbtzeJ0Bs317VZtwAA5HUul0vvTDmRrXFX83KKCA10ekgA8qnouCR9/u9mfTN3uy3rajStUFQDrqluS04B2YHAhgNMvbi3b62vjkP+1eaDcXpl4loNvrmu08MCAADI1xeDPvh7kz6atsne792mos2ypc4vAMBdTFmzTyt2HVWgn7f6X1XF6eEAyIeOHk/WV7O2aPjsrYpLOhHQqB9RRI9fU82WnuKzNbITgQ2HhBby05DbG+jurxfo+4U7bKOcGxuUcXpYAAAA+TKo8fof6/TV7K32/hPtq6nflVU48QIAuI2U1DS9M2WD3e7VuqLCCvs7PSQA+UhCcqpGzNmmz2ZEKiYhxe6rXTrYlpy6qkYJPlcjRxDYcFDLKmHqf2UVffxPpJ75ZZVqhAerejiNvQAAAHJLWppLL/++RqPmbbf3X76htnq0rOD0sAAAyJJfl+22FSGKBPqq9+WVnB4OgHwUVP1l6S59MHWT9sUk2H3VSha2AY32tcLlRUlX5CACGw57tF01Ld95RLM2RemB75bot/6tFBzg6/SwAAAA8kVQ47nxq232rFlENvimurqjWTmnhwUAQJYkpqTqw79PlFJ8sG1lrikAyJWM56lr9+vtKRsUeSDW7itTpKAeb1/NVqShRx1yA4ENh5l/6B/e0VDXfzxbW6Pi9MSPK/R5t8akaAEAAOSg1DSXnv5lpX5eskvmvOudW+vrlsZlnR4WAABZNnr+Du0+clzhwQHq3oKsQwA5a/G2aA3+c72WbD9s75tMMVOR5p7LyivA19vp4SEfIbCRR/ptfHp3I3UdNk9/rd2vD6dtspkcAAAAyJmU+cd/WqHflu+xi0zev60+vc4AAG7pWEKyhk6PtNsPX12Vi4oAcsym/cf01uQN+nvdfns/wNfL9vT53xVkisEZBDbyiPoRRfRalzp66peVGvL3JlUuXljX1y/t9LAAAAA8SnJqmh4du1x/rNwrH68C+ujOhupct5TTwwIA4KJ8PnOLDsUlqVJYIXVtQuYhgOx38Fii3p+6UWMX7VCa60T1mduaROjRdlVVMjjA6eEhHyOwkYfc1jRCmw4c05eztuqJn1YoIjRQDSKKOD0sAAAAj5CUkqaHvl+qKWv2y9e7gIbe1Ujta4c7PSwAAC7KvqMJ+mr2Frv9VMca8vX2cnpIADxIQnKqRszZZrPCYhNT7L4OtUvqyQ41VKVEYaeHBxDYyGue6VRTWw7Gadr6A7p/1GJN6N9KpYsUdHpYAAAAbt9Y9cHvltrPWH4+Xvr8nsa6skYJp4cFAMBFe3/qBiUkp6lJ+aL2YiMAZFdj8Emr9mnwn+u06/Bxu69e2RC9cF0tNa0Q6vTwgAyE8/NiM/E7G6pGeJCiYhPVa9RixZ2MigIAAODiMjX6jT4R1PD38dLXPZoQ1AAAuLX1+2L085Jddntg55oqUKCA00MC4AFW7jqi2z6fp35jltqgRslgf73Xtb7GP9iKoAbyHEcDG4MHD1bTpk0VFBSkEiVKqEuXLtqwYcN5HzNy5Eg7YZ96CwjwrHpuhf199FWPJgor7Kd1e2P0yA/LbJNLAAAAZL2nRv8xS/X3uhNBjeH3NlWbqsWdHhYAAJfkzT/X21r3neuGq3H5ok4PB4Cb23v0uAaMXa4bPpmjRdsO28bgj1xdVdOfaKtbGpeVlxfBU+Q9jgY2Zs6cqX79+mn+/PmaOnWqkpOT1b59e8XFxZ33ccHBwdq7d2/Gbfv27fI0ZYsG6geOP9wAAI8FSURBVPNuTWypBHMi/sJvq20qGAAAAC48qPHw98v019r99jPVl92bqFWVMKeHBQDAJZkTGaUZGw7Kx6uArXUPAJfSR+PjaZt01bsz9euy3XbfzQ3L2IDGY9dUU6AfXQyQdzn61zl58uSzsjFM5saSJUt0+eWXn/NxJksjPNzzGz2aVRcf3dFAD45equ8X7lTxwv4a0L6608MCAADI80y262Njl+vP1fvk5+2lz7s11uXVyNTA/9u9e7eefvpp/fnnn4qPj1eVKlU0YsQINWnSxOmhAcA5paW5bN17457LyqtiWCGnhwTATU1bt18v/75WO6Lj7X3Tr+f562qpQUQRp4cGXJA8FXY7evSo/Roaev6abbGxsSpfvrzS0tLUqFEjvfHGG6pdu/Y5j09MTLS3dDExMXIXHeuU0qtd6ui5cav10T+RCgvyV/cWFZweFgAAQJ6VmubS4z+t0MSVe+XrXUCf3dNIV1anpwb+3+HDh9WqVStdeeWVNrBRvHhxbdq0SUWLUs4FQN42YcUerd4dY0tYP3RVFaeHA8ANbT8Up1d+X2v7zxmmj8aznWvqhvql6dcDt5JnAhsmSPHoo4/aE4w6deqc87jq1atr+PDhqlevng2EvPvuu2rZsqXWrFmjsmXLnrOXx8svvyx3dXfz8oo6lqQP/t6oQRPWqFghf11br5TTwwIAAMiTQY0nf1qh35bvsSU6ht7VSFfXLOn0sJDHvPXWW4qIiLAZGukqVqzo6JgA4EJKxrwz5URf0r5tK6tYYX+nhwTAjRxPStVnMyI17N8tSkpJs5+Ve7WuqIeurmqDpYC7cbTHxqlMr43Vq1frhx9+OO9xLVq0UPfu3dWgQQNdccUV+vXXX+0Kq88///ycjxk4cKANgqTfdu7cKXfz8NVVdM9l5WTabJiyCrM3RTk9JAAAgDxXnuOZX1ba+sDeXgX0yV0N1b6255cvRdZNmDDBlpzq2rWrLYXbsGFDffnll04PCwDO69t527X7yHGFBwfovlYEY7Nq6NChqlChggICAtS8eXMtXLjwvMf/9NNPqlGjhj2+bt26mjRpUq6NFchOpmfv5NX71O79mbYajAlqtK4SpsmPXq6BnWsS1IDbyhOBjf79+2vixImaPn36ObMuzsXX19eeiERGRp7zGH9/f9tw/NSbuzGpYC/fUEed64YrKTVNvb9ZrIVbo50eFgAAQJ45YXtu/Gr9tGSXDWp8dEdDW9ITyMyWLVv02WefqWrVqpoyZYr69u2rhx9+WKNGjcr0eFPW1pSzPfUGALnpcFySPv5nk90e0L6aCvp5Oz0ktzJ27FgNGDBAgwYN0tKlS1W/fn116NBBBw6cKMVzprlz5+rOO+9Ur169tGzZMnXp0sXezIJcwJ3sOBSve0cs0gPfLbGB0dIhAfrs7kb6tlczVSlR2OnhAe4b2DAnoCaoMW7cOP3zzz8Xlf6dmpqqVatWqVQpzz9xNSfpH9zeQFdUK67jyam6b+QiLd95xOlhAQAAyOnPlK//sU7fL9whrwKyn5co24nzObVXn1kk1adPH/Xu3VvDhg07Z2nbkJCQjJspYwUAuenDaZsUk5CiGuFBuqVR1haEQnr//fft+3zPnj1Vq1Yt+34fGBhoS51n5sMPP1THjh315JNPqmbNmnr11VftvPHJJ5/k+tiBi5GcmqZPZ0Tqmg9maubGg/Lz9lL/K6vo78evUKe6peilAY/g5XT5qe+++05jxoxRUFCQ9u3bZ2/Hjx/POMaUnTKlpNK98sor+uuvv+wqKxNlv+eee7R9+3bdf//9yg/8fbz1ebfGalGpmGITU9T96wVavftE03UAAID8aMjfm/TV7K12+61b6tnGh8D5mEVR5sLWqcyFqx07dnhsaVsA7ivywDF9O3+73X7xulp20SMuXFJSkpYsWaJ27dpl7PPy8rL3582bl+ljzP5TjzdMhse5jgfykqU7Duv6j2fr7ckblJiSppaVi2nyo230RIfqCvSj7BQ8h6OBDZP+bU4M2rZta08u0m8mRTCdObnYu3dvxv3Dhw/bKLs58ejcubNNAzcpgmeemHiyAF9vfdWjiZqUL2pXbHT7eoE27j/m9LAAIM/Uw01n+jaZlSgmbRyAZ/ry3y12Favx0vW11LUJK+nx31q1aqUNG0404E23ceNGlS9f3mNL2wJwX6/9sU6paS5dU6ukWlYJc3o4bicqKspW+yhZsuRp+819s7g2M2Z/Vo6nZCHygpiEZL0wfrVu+Wyu1u87pqKBvnqva32Nvr+5KhWn7BQ8j4/TZQP+y4wZM067/8EHH9hbflfI30fDezbVPV8t0MpdR3XXlwv0fe/mqloyyOmhAUCO1MM16eImqDFkyBC7WspckDINX89l27ZteuKJJ9SmTZtcHS+A3DN6wXa9Pmmd3X6yQ3XdSyNVXKDHHntMLVu2tKWobrvtNhsw/+KLL+wNAPKS6RsOaMaGg/L1LqBnO9d0ejg4B1Oy8OWXX3Z6GMinzPXVP1fv00sT1ujAsUS7z5Sse+7amgot5Of08ADPbh6OixMc4Ktv7mummqWCFRWbqDu+mK91e1kVACB/18M1zIqsu+++255cVKpUKVfHCyB3jF+2W8+PP9HAs2/byup3ZRWnhwQ30rRpU9vn7/vvv1edOnVs7XQTODdzBwDkpRr5poeUcW/LCqoYVsjpIbmlsLAweXt7a//+/aftN/fDw8MzfYzZn5XjKVkIp+w5clz3j1qsB0cvtUEN8z4xpndzvXdbfYIa8HgENtxckUA/m6lRt0yIDsUl6c4v59NzA0C+roeb3o/JZHP06tXrgn4OqeOAe5myZp8e/2mFTPJv9xbl9VSH6k4PCW7ouuuu06pVq5SQkKB169bZIDoA5CVjFuxQ5IFYe3Gy/1VVnR6O2/Lz81Pjxo01bdq0jH1paWn2fosWLTJ9jNl/6vHG1KlTz3k8JQvhRJbG9wt3qP0H/2ra+gM2q+vhq6roz0faqGVlStYhfyCw4SHBje/ub64GEUV0JD7ZBjeW7Tjs9LAAwJF6uLNnz9bXX3+tL7/8Mkup4yEhIRm3iAhq9AN51axNB/XQmGW21vjNjcropetr2146AAB4kiPxSfrg7412e8A11RRS0NfpIbk1U9rWnB+MGjXKBrP79u2ruLg4mxVudO/e3WZdpHvkkUc0efJkvffee1q/fr1eeuklLV68WP3793fwtwBO2Bkdr25fL9TAX1cpNjFFjcoV0aSH22hA++q2Ly+QXxDY8BDmQ863vZqpaYWiOmYbii/U4m3RTg8LAHLVsWPH1K1bN3vSYlLOLxSp44B7WLI9Wr2/Wayk1DR1qhOut2+pJy8vghoAAM/z4bRNduFi9ZJBuqMpi24u1e233653331XL774oho0aKDly5fbwEX6AqodO3Zo7969GcebPkxjxoyxvZfq16+vn3/+WePHj7flCwGnpKW59O28beo45F/NjoxSgK+Xnr+2pn56oCU9d5EvOdo8HNkrKMBXI3s2s7X15m05pO7DF+rrHk3VonIxp4cGALlSD3fz5s22afj1119/Wpq54ePjYxuOV65cOdPUcXMDkHdt2HdMPUcsUkJymi6vVlxD7mggH2/W6AAAPM/mg7H6dt52u/38dTWZ77KJybY4V8bFjBkzztrXtWtXewPygu2H4vT0Lys1f8uJRczNKoTqrVvr0XsH+Rqzo4cp5O+j4fc2VZuqYYpPSlXPkQs1ff0Bp4cFALlSD7dGjRq2XrpZgZV+u+GGG3TllVfabUpMAe6bbt99+ALFJJxItR92TyP5+5BmDwDwTG/8sU4paS61q1lCbaoWd3o4ABzO0hg5Z6s6DpllgxoFfb310vW19EOfywhqIN8jY8MDFfTz1pfdm+jB0Uv1z/oDtmTDu13rq0vDMk4PDQAuqh5ujx491KRJEzVr1kxDhgw5qx5umTJlbJ+MgICAs9LDixQpYr+SNg64p6jYRJuFuj8mUdVKFrYLOAL9+AgLAPBMMzYcsI2AfbwK6NnONZ0eDgAH7TlyXE/8tEJzNx+y91tUKqa3bqmncsUCnR4akCdwVuihTLOgz7s11lM/r9S4Zbv16Njlio5L0n2tKzo9NADIcj3cgwcP2nq4pmG4qYl7Zj1cLy8SEAFPdCwhWfeOWKitUXEqU6SgvrmvuYoE+jk9LAAAckRiSqpe/n2t3b63ZQVVKl7Y6SEBcMhvy3fr+fGrbR9dk6XxbOcaurt5efrLAacgsOHBfL299F7X+ioa6Kfhc7bqlYlrbXDj8fbVVKAAb4QAPLce7qlGjhyZQ6MCkNMXd/737RKt3h2j0EJ++rZXM4WHBDg9LAAAcszw2dtsMD+ssL8eaVfV6eEAcMCR+CS98Nsa/b5ij71fP6KIPritPoFOIBMENjycieS+cF1NFSvsp3embNAn0yMVHZ+kV2+sI2+ivAAAIA9KTXPpsbHLbdp9IT9vjerZjJM5AIBH23c0QR//s8luD+xUQ0EBvk4PCUAum7XpoJ78aaX2xSTYa3YPX1VV/a6sLB9vKhQAmSGwkQ+Y7Ix+V1axmRvPj1+lMQt26HBckj64vYEtWQUAAJBXuFwuvfDbak1atU9+3l62b1jdsiFODwsAgBz1xqR1ik9KVePyRXUT/TGBfCUhOVVv/rleI+dus/crhRWy1+xMtgaAcyOwkY/c1bycigb66pEfluvP1fsUFbvAXiygVjUAAMgrPpi60S7CMFUzh9zRQC2rhDk9JAAActSCLYc0YcUeO/e9fENtaugD+ciGfcf00PdLtXF/rL3fvUV5DexUUwX9WIgM/BdymfKZTnVLaeR9TRUU4KNF2w7r5s/maseheKeHBQAAoO/mb9dH/0Ta7de61FHnuqWcHhIAADkqJTVNgyassdt3NSunOmXIUgTyS5by6AXbdcMns21Qo3iQv0b2bKpXbqxDUAO4QAQ28qGWlcP0S9+WKlOkoLYcjNNNn87R8p1HnB4WAADIx6au3a8Xf1tttx9rV013Ny/v9JAAAMhxoxfs0Pp9x1Qk0FdPtK/u9HAA5IKjx5P14Oilem7caiWmpKlt9eL685E2alu9hNNDA9wKgY18qlrJII17sKVqlw7Wobgk3fHFPP21Zp/TwwIAAPnQsh2HbQp+mku6o2mEHr66itNDAgAgxx2KTdR7f22w2yaoUbQQZaIBT7dk+2F1/nCWLRHv611Az3WuqeE9miqssL/TQwPcDoGNfKxEcIB+/F8LXVm9uBKS0/S/75ZoxJytTg8LAADkI9ui4tRr1GL7WcR8JjElqAqYIuMAAHi4d6ZsUExCil1weGezck4PB0AOSktzaej0SN32+TztPnJc5UID9fMDLdX78kr01QEuEoGNfK6Qv49tIG4ai7tc0su/r9Wg31bbOp8AAAA5KSo2UT1GLFR0XJLqlgnRJ3c1ko83H08BAJ7PlIMeu3in3TYNw725sAl4LPNZ13zmNcHM1DSXbmxQWn883Fr1I4o4PTTArfk4PQA4z1xAeL1LHUUUDdRbk9dr1Lzt2nwwTkPvaqSQQF+nhwcAADxQfFKKeo1cpO2H4hURWlDD721qF1wAAODpzELC58atsosLb25URk0qhDo9JAA5WHK13+il2nM0QQV9vfXKjbV1a+OyZCgD2YAlcbDMG2rftpU17J7G9o12dmSUbSq+5WCs00MDAAAeeEHnoTHLtGLXURUN9NXIns1UPIi6wgCA/OHb+du1Zk+MggN89Gznmk4PB0AOcLlc+mbeNlt6ygQ1KoUV0vh+rdS1SQRBDSCbENjAaTrWCdfPfVuodEiAtkTFqcvQOZq9KcrpYQEAAA86yXtxwhpNW39A/j5e+qpHE1UuXtjpYQEAkCv2xyTovb822u2nO9WgYTDggeISU/TID8v14m9rlJzqUqc64fqtfytVDw9yemiARyGwgbPULh2i3/q3VqNyRWwjM1MH0ESZzYUIAACAS/HpjM0as2CHzEK1D+9oqMblKb8BAMg/Xpm4VrGJKWpYrojubErDcMDTRB6ItYuEJ6zYY3vnPH9tTX16dyMFBVDqHchuBDaQKVMOYkzvy2y9T9PYyESZnx+/Wsk0FQcAABfplyW7bNNE46Xra9tMUQAA8ouZGw/qj5V7ZfqEv9aljrxoGA54lD9X7dWNn8zWpgOxKhHkrx/6XKb721Si9BSQQwhs4JwCfL31Xtf6eqZTDbuqcvSCHer+9UJFxyU5PTQAAOBm5kRG6elfVtrt/11eST1aVnB6SAAA5JqE5FS9+Ntqu92zVUVbKQGAZ0hLc+n9vzao7+iliktK1WWVQvXHw23UtAKZyUBOIrCB8zJR5QeuqKwvujVRIT9vzdtySNd/PFurdx91emgAAMBNbNp/TA98t0QpaS5dX7+0nu5Yw+khAQCQ66UYtx+KV3hwgB67pprTwwGQTUxpOfM596N/Iu39Xq0r6rtezW0lFAA5i8AGLsg1tUrq1wdbqUKxQO0+cly3fDbXlpMAAAA4n6jYRPUcuUjHElLUpHxRvXNrPUpvAADylS0HYzVsxma7Pej6Wirs7+P0kABkg+2H4nTzp3P019r98vP20rtd6+uF62rJx5vLrUBu4F8aLlj18CDbVPyqGiWUmJKmx39aoUG/0XcDAACcu+xG728Wa9fh4yoXGqjPuzW2pS4BAMgvXC6XXvhttZJS09S2enH6SwEeYvamKN3wyRxt3H+in8bY/12mWxuXdXpYQL5CYANZElLQV191b6KHr65q74+at113f7lAB44lOD00AACQx2oNP/HTCi3bcUTBAT4afm9TFStMSj4AIH/5bfkezYk8JH8fL71yQx2aCAMeEKwcPnureoxYqKPHk1U/ooh+f6i1GpYr6vTQgHyHwAayzJSPGHBNNX3ZvYmC/H20cFu07buxdMdhp4cGAADyiPenbtTElXvl41VAw7o1VpUShZ0eEgAAuSo6LkmvTFxrtx+6qorKFQt0ekgALoGpWPLsuNX233Vqmks3NyqjsX0uU8ngAKeHBuRLBDZwSX03xvdvZS9U7I9J1B2fz9foBdtt9BoAAORfPy3eqU+mn2igOPjmumpZOczpIQEAkOte+2OtDW7UCA9Sn8srOz0cAJcgJiFZ941cpO8X7pBJvHr+2pp6r2t9yqwCDiKwgUtSuXhhje/XSh1rh9uaoc+NW60BP65QfFKK00MDAAAOmLf5kJ4dt8pu97+yiro2iXB6SAAA5Lp/Nx7Ur0t32wugJsjv58PlF8Bd7Tocr1s/m6tZm6JU0NdbX3ZrovvbVKK0HOAwZlZcssL+PvrsnkZ6plMNeXsV0Lhlu3XjJ3MUeeCY00MDAAC5aPPBWD3w3RIlp7p0Xb1StnQlAAD5jVnolx7kv7dlBWrvA25sxc4j6jJ0bkaT8J8eaKF2tUo6PSwABDaQXUyU+oErKmvM/c3tG/2mA7G64ZM5+m35bqeHBgAAcoEptWHS800TxUbliujdrvVtXy4AAPKbD6Zu1K7Dx1WmSEE90b6608MBcJEmr96n27+Yp6jYRFtSzlQsqVMmxOlhATiJwAayVfNKxfTHw23UsnIxxSel6pEfluu5cauUkJzq9NAAAEAOMfN8n28Wa/uheEWEFtSX3ZtQbxgAkC+t3HVEX8/eardfu6mOCvn7OD0kABdhxJyt6jt6iRKS03RFteL6uW9LlS5S0OlhATgFgQ1ku+JB/vq2V3M9fFUVW0909IIdunXYXO04FO/00AAAQDZzuVwa+OsqLd5+WEEBPhpxb1MVK+zv9LAAAMh1yalpevqXVUpzSTfUL60rq5dwekgALuKz7VuT1+vl39fK5ZLubl5OX/doYsuwA8hbCGwgR5heGwPaV7cXN4oG+mr17hhd+/EsTVmzz+mhAQCAbPTZzM22v5aZ+4fd01hVSgQ5PSQAABzx1aytWrc3RkUCffXi9bWcHg6ALEpJTdNTP6/UZzM22/tPdqiu17rUkY83l0+BvIh/mchRbauXsKWpTK3tYwkp+t+3S/T6H2uVlJLm9NAAAMAl+mvNPr0zZYPdfumG2mpVJczpIQEA4IhtUXEa8vdGu/38tbUURvYi4FaOJ6Xaa1Y/Ldkl0yburVvqqt+VphIJPeOAvIrABnKcqUH4Q58W6tW6or3/5ayt6kppKgBZMHToUFWoUEEBAQFq3ry5Fi5ceM5jv/zyS7Vp00ZFixa1t3bt2p33eAAXZ+2eGD06drlN0e/eory6XVbe6SEBAOCItDSXnvplpRJT0tS6SphuaVTG6SEByIIj8Unq9vUCTVt/QP4+Xvq8WxPd3rSc08MC8B8IbCBX+Pl46YXraunzbo0VUtBXK3YdVeePZum35budHhqAPG7s2LEaMGCABg0apKVLl6p+/frq0KGDDhw4kOnxM2bM0J133qnp06dr3rx5ioiIUPv27bV7N+83QHaJik1U728WKz4pVa2qFLNzPAAA+dW387dr4dZoBfp5a/DNdVnhDbiRvUeP67bP59l+ccEBPvru/ua6plZJp4cF4AIQ2ECu6lA7XJMeaaMm5YsqNjFFj/ywXE/9vELxSSlODw1AHvX++++rd+/e6tmzp2rVqqVhw4YpMDBQw4cPz/T40aNH68EHH1SDBg1Uo0YNffXVV0pLS9O0adNyfeyAJ0pMSdUD3y7R7iPHVTGskD69q7F8qTsMAMinth+K05t/rrfbz3SqoYjQQKeHBOACmUoit342Txv3x6pksL9+eqClmlYIdXpYAC6Qo2ehgwcPVtOmTRUUFKQSJUqoS5cu2rDhRJ3m8/npp5/sxSpTkqRu3bqaNGlSrowX2aOMLU11mR6+ytQqlH5cvEvXfzzblrQAgFMlJSVpyZIltpxUOi8vL3vfZGNciPj4eCUnJys0lA+owKVyuVx69tfVdkVbUICPvurRRCGBvk4PC8iyl156ya6oPvVmzi8AIMslqH5eqePJqbqsUqjuaU5ZRsBdRB6IVdfP52Ys1vmlb0tVDw9yelgA3CWwMXPmTPXr10/z58/X1KlT7YUnUy4kLi7unI+ZO3euLTHSq1cvLVu2zAZDzG316tW5OnZcGh9vLw1oX11j7r/MRsU3H4xTl0/naNTcbfaiCQAYUVFRSk1NVcmSp6cCm/v79u27oOd4+umnVbp06dOCI2dKTExUTEzMaTcAZ/ty1hb9snSXvL0KaOhdjVS5eGGnhwRctNq1a2vv3r0Zt9mzZzs9JABu5rsF27Vga7QK+nrr7Vvqy8t0HAaQ563bG6PbP5+n/TGJqlaysMb+7zKVLUq2FeBuHA1sTJ48Wffee689qTA100eOHKkdO3bY1bnn8uGHH6pjx4568sknVbNmTb366qtq1KiRPvnkk1wdO7JHi8rF9Ocjl+vqGiWUlJKmQRPWqM+3S2zjJgC4VG+++aZ++OEHjRs3zmb5nS+DMCQkJONm+nIAON20dfs1+GSpjReuranLqxV3ekjAJfHx8VF4eHjGLSwszOkhAXCzEjanlqAqV4yLooA7WLnriO74Yr4OxSWpdulg/dCnhUoEnftcEUDelacKIh89etR+PV+5EFN65MxVt6aJ7IWWJEHeE1rIz5ayGHR9Lfl5e2nq2v3q9OEs23wNQP5mLjJ5e3tr//79p+03981FqPN59913bWDjr7/+Ur169c577MCBA+0clH7buXNntowf8BQb9h3Tw98vk0mqvKt5OfVoWcHpIQGXbNOmTTajr1KlSrr77rvtAqtzIbMPwFklqH4xvSJT1bxiqLpdRgkqwB0s3hatu79coKPHk9WwXBGN6X2ZvSYFwD3lmcCGaez66KOPqlWrVqpTp845jzOlR7JakoQTkbzP1DXu2aqifn2wpa1tuPdogu74Yp4+mLpRKalpTg8PgEP8/PzUuHHj0xp/pzcCb9GixTkf9/bbb9uMPpMZ2KRJk//8Of7+/goODj7tBuCEQ7GJ6jVqkeKSTtQPf/mG2nbeBtxZ8+bNbba4mSc+++wzbd26VW3atNGxY8cyPZ7MPgCnGr1gu+ZvOVmC6tZ6lKAC3MDcyCh1+3qhjiWm2M+03/ZqrpCC9IoD3FmeCWyYXhumT4YpGZLdOBFxH3XKhGjiQ611S6OySnNJH07bpFuHzdO2qHP3XQHg2QYMGKAvv/xSo0aN0rp169S3b1/bi6lnz572+927d7cZF+neeustvfDCCxo+fLgqVKhgA9/mFhsb6+BvAbgnUyay7+il2nX4uMqFBuqzuxvL1zvPfHwELlqnTp3UtWtXm9Fnsr8nTZqkI0eO6Mcff8z0eDL7AKTbGR2fUZrx6Y7VVb5YIaeHhP8QHR1tM/PM4qUiRYrYnq3/dW7Qtm1bu5Dj1NsDDzyQa2NG9gc1eo5cpOPJqbac6oh7m6mwv4/TwwJwifLEmWn//v01ceJETZ8+XWXLlj3vsab0SFZLknAi4l4K+fvovdvq68M7GigowEfLdx5R549m6cdFO2ksDuRDt99+uy0r9eKLL6pBgwZavny5XWGbnr1nSoeYpq/pzMrbpKQk3XrrrSpVqlTGzTwHgAtn5twXxq+2pSGD/H30dY8mKkqqPjyUudBVrVo1RUZGZvp9MvsAZJSg+nmlLUHVrEKouregNKM7MEGNNWvWaOrUqfba07///qs+ffr85+N69+5tzzPSbyYrHO5n/pZD6jVqsRJT0mx/1y+7N1ZBP2+nhwUgG/g4fcL80EMP2aauM2bMUMWKFf/zMab0iClBYspWpTOT0/lKkpgTEXODe7mxQRk1qRCqAWOXa8HWaD31y0r9s/6ABt9clwsrQD5jAuDmlhkzf5xq27ZtuTQqwLONmrtNYxfvlKmu8dFdDVW1ZJDTQwJyjFm5u3nzZnXr1s3poQDI4yWo5m05pABfL0pQuQmT8W0WRS1atCijRO3HH3+szp0724VPptfSuQQGBv5nXz/kbYu2Reu+k5kaV1Yvrk/vaSR/H4IagKfwcrr81HfffacxY8YoKCgoo1zI8ePHM445s8TII488Yiel9957T+vXr9dLL72kxYsXn/OCF9xbmSIFbTOnZzrVkK93AU1es08dhvyrfzcedHpoAAB4rHmbD+nVP9bZ7YGdaurK6iWcHhKQrZ544gnNnDnTBsPnzp2rm266Sd7e3rrzzjudHhqAPGrzwVi9PunE3Ph0xxqqEEYJKncwb948m5V3at+9du3aycvLSwsWLDjvY0ePHq2wsDDbB9Zcl4qPj8+FESO7LNl+WPcOX2gzrNpUDdNn9zQmqAF4GEczNky5kPTahacaMWKE7r333owSI2bCSdeyZUsbCHn++ef17LPPqmrVqho/fvx5G47DvXl7FdADV1RW6ypheuSHZdp8ME7dhy9Uz1YV7AfKAF8mJgAAssvuI8fVb8xSpaa51KVBad3f5r8zagF3s2vXLhvEOHTokIoXL67WrVtr/vz5dhsAzpScmmYrCSQkp9nz0h6UoHIbZvFsiRKnL9Dw8fFRaGio/d653HXXXSpfvrzN6Fi5cqWefvppbdiwQb/++mumxycmJtpbupiYmGz8LZBVy3YcVo/hCxWXlKpWVYrpy+5NuHYEeCDHS1H9lzNLjBim0Z+5IT82Fm+jwX+u0zfztmvEnG2aG3lIQ+5ooJqlqHMMAMClSkhO1f++XazouCTVLh2swTfXs80yAU/zww8/OD0EAG5k6PRIrdh1VMEBPnqnKyWo8oJnnnlGb7311n+WobpYp/bgqFu3ru3Zd/XVV9uyhZUrVz7r+MGDB+vll1++6J+H7LN691G7GDY2MUWXVQrVV92bEtQAPJSjgQ0gq0yDp1durGNLYjz58wpt2H9MN34yR091rK77WlXkAyYAAJew4GTgr6u0eneMQgv56fNuNFYEAGD5ziP6+J9Iu/3aTXVVKqSg00OCpMcffzyj0se5VKpUyfbIOHDgwGn7U1JSFB0dnaX+Gc2bN7dfIyMjMw1smFJVAwYMOC1jIyIi4oKfH9ljy8FYm6lxLCFFTSsU1dc9mvJ5FvBgBDbglq6sUUKTH71cz/yyUn+vO6DX/lin6RsO6L2uDRQeEuD08AAAcDvD52zTuGW7bQnIT+5qqLJFA50eEgAAjopPStFjY5fb8ozX1y+tG+qfu9E0cpcpHXgh5QNbtGihI0eOaMmSJWrcuLHd988//ygtLS0jWHEhli9fbr+azI3M+Pv72xucs+fIcXX7eqEOxSWpTplgfX1vUxXy57In4MkcbR4OXIqwwv62TuLrN9VRgK+X5kQeso3Ff1u++4LKnAEAgBPmRkbpjZMNUZ/rXFMtK4c5PSQAABw3eNJ6bY2KU3hwgF69sbbTw8FFqFmzpjp27KjevXtr4cKFmjNnjvr376877rjD9s8wdu/erRo1atjvG6bc1KuvvmqDIdu2bdOECRPUvXt3XX755apXr57DvxEycyg2Ufd8vcD2iqtUvJBG9Wym4ABfp4cFIIcR2IBbM3W/725eXn883Eb1yobo6PFkPfLDcvUfs8zWBwcAAOe3Mzo+o1n4zY3KqGcrGqICADBjwwF9O3+73TZ9NYoE+jk9JFyk0aNH28CF6ZHRuXNntW7dWl988UXG95OTk21j8Pj4eHvfz89Pf//9t9q3b28fZ8pe3XLLLfr9998d/C1wLscSktVjxEJtORin0iEB+rZXcxUrTPYMkB+QkwWPULl4Yf3St6U+nb5ZH/+zSX+s2qsFW6P15s111a5WSaeHBwBAnnQ8yTQLX6LD8cmqWyZEb9xUl2bhAIB873Bckp76eaXdvrdlBbWp+t8lj5B3hYaGasyYMef8foUKFU6r+mB6Y8ycOTOXRodLkZCcqvtHLbY94ooV8tO39zdXmSL0wQHyCzI24DF8vb30SLuqGvdgK1UtUVhRsYm6/5vFevKnFTaCDwAA/p85gX/6l5Vau/fEiaBpFh7gS3NFAED+ZubH58av0oFjiapcvJCe6VTD6SEByITJNn7kh2V2UWuQv49G3dfMLnoFkH8Q2IDHqVs2RL8/1Fp9Lq8ks+j0pyW71HHILM3dHOX00AAAyDO+nLVFE1bskY9XAX16dyOVZnUbAAD6ZeluTVq1z86PQ25vSNAfyKMByFcnrtWUNfvl5+Olr3o0UZ0yIU4PC0AuI7ABj2Q+fD7buabG9mmhcqGBtoHUXV8u0EsT1tiyGwAA5GezNh3Um3+ut9svXl9LzSsVc3pIAAA4bsvBWL3422q7/Wi7qnbRHIC85+vZWzVy7ja7/f5t9fksC+RTBDbg0ZpVDNWfj7TRXc3L2ftm4rv241latuOw00MDAMAROw7Fq/+YZUpzSV0bl1W3y8o7PSQAAByXlJKmR35YrvikVF1WKVR921ZxekgAMvHHyr167Y91dvu5zjV1Xb3STg8JgEMIbMDjFfL3sc1QR/ZsqpLB/tpyME63fDZX707ZYD+8AgCQX8QnpajPt4t19Hiy6kcU0atd6tAsHAAASe/+tUGrdh9VkUBfW4LK24v5EchrFm2L1mM/Lrfb97asoPvbVHR6SAAcRGAD+Ubb6iX016NX6MYGpe0q1U+mR6rL0Dlavy/G6aEBAJArtYif/Hml1u87prDC/vr8HpqFAwBgzNx4UF/8u8Vuv31LPYWHBDg9JABniDwQq/tHLbYLVDvULqkXrqvFAh0gnyOwgXwlJNBXH97R0DZJLRroq7V7Y3TDx3P06YxIpaSSvQEA8FzDZm6xqfu+3gU07J5GXLQBAEDSwWOJevzHFXbblGdsXzvc6SEBOEN0XJJ6jlxos44blitir+uQVQWAwAbypc51S2nKY5erXc0SSkpN09uTN+iWYfO0af8xp4cGAEC2m7HhgN6ecqJZ+KDra6tJhVCnhwQAgOPS0lx64qcViopNVPWSQXru2ppODwnAGUyGRt/vlmhn9HGVCw3UV92bkHUMwCKwgXyrRFCAvuzeRO92ra+gAB+t2HlE1340W5/N2Ez2BgDAY2yLitPD3y+TyyXd2SxCdzcv5/SQAADIE4bP2WrLUPn7eOmjOxtysRTIg6VUB01YrQVboxXk76OvezRRscL+Tg8LQB5BYAP5mqnHeGvjspr62BW6snpxm73x1uT1ZG8AADxCbOKJZuExCSlqVK6IXrqhNrWIAQCQtHr3UXvuZzx/XS1VDw9yekgAzjBy7jZ9v3CnTNWpj+5qqKol+XcK4P8R2AAkW2d8+L1Nyd4AAHjUCrcnflyhjftjVSLIX5/d01j+PqxEBQAgLjHFZjMmp7rUvlZJ3UM2I5Dn/LvxoF6duNZuP9u5pq6sXsLpIQHIYwhsACeRvQEA8CRDp0dq8pp9tlm4CWqUDKZZOAAAJvD/7LhV2hIVp/DgAL11Sz2yGYE8ZvPBWPUbs1RpLqlr47Lq1bqi00MCkAcR2ADOQPYGAMDd/bN+v96butFuv3pjHTUuX9TpIQEAkCeYsja/Ld8jb68C+viuhipayM/pIQE4o5Tq/75domMJKWpSvqheu6kOwUcAmSKwAWSC7A0AgLvacjBWj3y/3DYLN43C72hGeQ0AANL7arz0+xq7/VSH6mpaIdTpIQE4I6PqqZ9XKPJArEoGU0oVwPkR2ADOg+wNAIA7OZaQrD5mhVviiRVug66v7fSQAADIE2ISkm1pm6SUtP9r7z7AqizfP4B/2UuGCDIEBFyoICIqbi3NVabpz9wrV6am6b/ShmXjZ8us1FzlKmeZVmaaOVORKYoLxQUiQ0CZss//eh6CnxYoyHjP+H6u67045z3n2H3ezjnPOe/9PPeNXs3rY3JXT6VDIqJ/+Oava9gTWVxK9etR/rC3NFE6JCJSY0xsED0CV28QEZEmKCpSYc724hluomb416PbwNiQX/WIiIjELPB5O87gRko2GtiYyYlr+vosbUOkTgKvpOCjvRfl5befacFSqkT0SPy1S1RBXL1BRETqbOnBaOw/nwhjA32sHOOP+pZsFk5ERCRsOHG9dBb4spF+sDFnXw0idRKfdg8zNoejsEiFwX4NMKZDQ6VDIiINwMQGUSVw9QYREakjkdBY8mdxs3DRYLG1q43SIREREamFiNi7+HDPBXn5jf7N4efGWeBE6kSUh3tpUzhSsvLQ3MkKHz7nw2bhRFQhTGwQVePqjeWHorl6g4iIapUoPfXKtgh5eVzHhni+ravSIREREamFtOx8TN8UjvxCFfp5O2J8J3elQyKif/jsjyicirkLK1NDrBzdBmbGbBZORBXDxAZRNa7e+HRfFAavOIGoBK7eICKi2mmEOmVjKDJzC9DewxZvPdNC6ZCIiIjUpvfU3B9OI+7uPbjZmuPj/7TiLHAiNXMoKgmrj16Vlz8d6ouG9SyUDomINAgTG0TVtHpj8VBfOcPgzM00PLP0Lyw9cBn5XL1BVC2WL18Od3d3mJqaIiAgAMHBwQ+9/w8//AAvLy95fx8fH+zZs6fWYiWqzRM2r2yNwNXkLDhZm+LrUW1gZMCvdkRERMKKI1fw54Xi3lNijLQyNVI6JCK6T2J6DuZuP1266rhPS0elQyIiDcNfv0TVQMz8GeLvgj/ndEev5g5yqfPi/ZcwaPlxnL+VrnR4RBpt27ZtmDNnDt555x2Eh4fD19cXffr0QVJSUpn3P3HiBEaMGIGJEyfi1KlTGDRokNzOnj1b67ET1aQv/ryEAxeTYGyoj1Vj/GFXx0TpkIiIiNTCkUu3ZXkb4f1BLeHdwFrpkIjoPqJJ+OytEUjNykMLJyvM799c6ZCISAMxsUFUjepbmWLNWH98Obw1bMyNcO5WOp5ddgxL9l+SDbGIqPI+//xzTJ48GRMmTECLFi2wcuVKmJubY+3atWXe/8svv0Tfvn3x6quvonnz5nj//ffRpk0bLFu2rNZjJ6ope88m4KuD0fLyoud80MqFzcKJiIiE2NRsvLzlFFQqYER7Nwxr56Z0SET0D6I/aeDVFJgbG2DZSD+YGrGvBhFVHhMbRDWwemNg6wb445Vu6NvSEQVFKnx54LJMcJyNS1M6PCKNkpeXh7CwMPTq1at0n76+vrweGBhY5mPE/vvvL4gVHuXdX8jNzUV6evoDG5G6upyYgbnbi5uFT+jsLlcMEhEREXAvrxBTvgtD2r18+Lra4N1n2XuKSN0EX0uVK4+FDwZ5w9O+jtIhEZGGYmKDqIbUtzTFitFt5OwDWwtjXEzIwMDlx7H4jyjkFhQqHR6RRkhOTkZhYSEcHBwe2C+uJyQklPkYsb8y9xcWLVoEa2vr0s3V1bWangFR9RInaiZvDEVWXiE6etbDG1y2T0REJKlUKsz/6QwuxKejnoUxVo5uAxNDzgInUifpOfl4ZVsEilTA4DYNMLgNJ+gQ0eNjYoOohldvPNPKGftf6YanWznJOpJLD0ZjwNJjOHPzrtLhEdHf5s+fj7S0tNItNjZW6ZCI/kWMIbO2nsL1lGw0sDGTiXM2CyciIiq24cR17Iq4BQN9PSwb2QZO1mZKh0RE//DuL+cQd/ce3GzN8d5Ab6XDISINx1/DRLWgXh0TLB/ZBl+PaiNnD11KzMRzX5/Ax3svIiefqzeIymNnZwcDAwMkJiY+sF9cd3R0LPMxYn9l7i+YmJjAysrqgY1I3Xy+PwqHo27D1Ki4WbgYW4iIiKi4tM0Hv12Ql+f380LHRvWUDomI/mHv2Xj8FB4HfT3g8+d9UcfEUOmQiEjDMbFBVIv6+zhh/5zueNbXWc68XXH4Cp5ZegzhMXeUDo1ILRkbG8Pf3x8HDhwo3VdUVCSvd+zYsczHiP3331/Yv39/ufcn0gR7IuOx/NAVefnjIa3g3cBa6ZCIiIjUQmJ6Dl7aFC57Gw7wdcbELh5Kh0RE/5CUkYP5P0XKyy92b4S27rZKh0REWoCJDaJaJvptfDXCT862tatjguikTPxnxQn8d88Frt4gKsOcOXOwZs0abNiwARcuXMC0adOQlZWFCRMmyNvHjh0rS0mVmDVrFvbu3YvFixfj4sWLePfddxEaGooZM2Yo+CyIHt/FhHT83w+n5eXJXT0wsHUDpUMiIiJSC6J34bTvw5CcmQsvR0t8PMRHlgMmIvXqfzNvRyTuZOejhZMVZvdqqnRIRKQluO6LSCF9WjoiwMMWC389j52n4rD66FX8eT4Rnw5tBf+GnL1AVGLYsGG4ffs2FixYIBuAt27dWiYuShqEx8TEQF//f3n6Tp06YfPmzXjrrbfwxhtvoEmTJti1axe8vVnDlTTP3ew8TNkYhuy8QnRuXA+v9/VSOiQiIiK1OVn65s6zCI+5CytTQ6wc7Q9zY57iIFI3W0NicfBiEowN9LFkWGsYG3KONRFVDz2V+DagY9LT02FtbS0bxLKOOqmDAxcS8cbOSCSm50JMMHqhswf+r3czmBkbKB0akU5+furK8yT1JkoWjl8XjL8uJ8Olrhl+ndEFdS2MlQ6L6KF05fNTV54nkTr75q+rsq+GqNe/fkJ7dGtqr3RIVAG68vmpK8/zUWJSstH3y6Nyks6b/ZtjcjdPpUMiIi36/GSalEgN9GzugD9md8d//F0gUo3fHruGfl8elU3wiIhIN32y76JMaohm4avHtGVSg4iI6G+HopJkKV/hradbMKlBpIbEPOr5O8/IpEZ7D1v2vyGiasfEBpGasDY3wmdDfbFuQjs4Wpnieko2hq0OxLu/nEN2XoHS4RERUS369fQtrDpyVV7+9D++aOGsuzP9iGraRx99JGvyz549W+lQiKgCRI/ClzefQpEKGNbWFRM6uysdEhGVYXtoLI5Hp8hJOp8MaQV9sbyKiKgaMbFBpGaeaFYff8zphuHtXOXqjfUnrqPvF38h8EqK0qEREVEtOH8rHa/+WNwsfGp3TwzwdVY6JCKtFRISglWrVqFVq1ZKh0JEFZCWnY/JG0ORkVuAdu518f4gbzYLJ1JDiek5slScMPepZnC3s1A6JCLSQoonNo4ePYoBAwbA2dlZfiERDV4f5vDhw/J+/9xEQ1kibWFlaoSPhrTCxhfaw9naFDGp2Rix5iTe2hWJzFyu3iAi0lZ3svIw5btQ5OQXoWsTO7zWh83CiWpKZmYmRo0ahTVr1qBu3bpKh0NEj1BQWITpm8NxLTkLDWzMsGK0P5sQE6lpCao3d55FRk4BfF1t8AJLUBFRDVH8W0BWVhZ8fX2xfPnySj0uKioK8fHxpVv9+vVrLEYipYhasfte6YaRAW7y+vcnY9BnyVEcj05WOjQiIqqBEzYztoTj5p17cLM1x9IRfjDgkn2iGjN9+nQ8/fTT6NWr1yPvm5ubKxsZ3r8RUe0Ss7+PRSfD3NgAa8a2hV0dE6VDIqIy7D4Tjz8vJMLIQE+WoOL3WSKqKYZQWL9+/eRWWSKRYWNjUyMxEakTS1Mj/Pc5Hzzt44TXd5yRJ7xGfROEEe3d8EZ/L3k7ERFpvo/3XpR1iMUJm9Vj/WFjzmbhRDVl69atCA8Pl6WoKmLRokVYuHBhjcdFRGXbEhwjS/QKnz/fmr2niNTU3ew82SdUeKlHYzRztFQ6JCLSYoqv2HhcrVu3hpOTE5566ikcP35c6XCIalznxnbYN7sbxnZsWPrlXqzeOHLpttKhERFRFe06FYc1f12Tlz8b6gsvR56wIaopsbGxmDVrFjZt2gRTU9MKPWb+/PlIS0sr3cS/QUS149jlZLy966y8POeppujr7ah0SERUjo/3RiElKw9N6tfB9CcaKx0OEWk5jUtsiGTGypUrsWPHDrm5urqiR48ecsZVebh0nLSFhYkh3hvojS2TO8gyJbfScjBubTBe//EM0nPylQ6PiIgeQ+TNNLkiT5j+RCP093FSOiQirRYWFoakpCS0adMGhoaGcjty5Ai++uorebmwsPBfjzExMYGVldUDGxHVvEuJGZj2fRgKilR41tcZM5/kiVIidRUec0dOwBQ+fM6HPXCISPtLUVVWs2bN5FaiU6dOuHLlCpYsWYLvvvuuzMdw6Thpm46N6mHv7K74ZG8UNgRex7bQWLlyY9FgHzzhxX4zRESa4nZGrmwWnltQhCe96mPuU//7jkNENaNnz56IjIx8YN+ECRPg5eWF119/HQYGBorFRkQPjpET1oUgI7cA7dzr4pP/tIKeHmv1E6lrrzjRMFwY0sYF7T1slQ6JiHSAVqRP27dvj+jo6HJv59Jx0kbmxoZ499mW2D61IzzsLJCQnoMJ60Mwd/tppGVz9QYRkbrLKyjCS5vCEJ+WA097C3wxvDX02VyRqMZZWlrC29v7gc3CwgL16tWTl4lIeffyCjFpYyji7t6Dez1zrBrTFqZGTDpS5X344YdyQqy5uXmF+7SqVCosWLBAVgwxMzNDr169cPny5RqPVZNtDLyBC/HpsDYzkr1AiYhqg1YkNiIiIuSAUx4uHSdt1s7dFnte7opJXTwgJjDtCL+Jp5Ycwf7ziUqHRkRED/He7nMIuX4HliaGWDO2LaxMjZQOiYiISHFFRSq8si0Cp2PvwsbcCOsmtIethbHSYZGGysvLw9ChQzFt2rQKP+aTTz6R5QlFGfSgoCCZ/O7Tpw9ycnJqNFZNlZieg8/3X5KXX+/rhXp1TJQOiYh0hOKlqDIzMx9YbXHt2jWZqLC1tYWbm5tcbREXF4eNGzfK27/44gt4eHigZcuWclD55ptvcPDgQfzxxx8KPgsiZZkZG+CtZ1qgn48jXv3xDK7ezsLkjaEY1NoZ7wxoibr8IUBEpFZE/eHvT8bIhPSXI1qjkX0dpUMi0mmHDx9WOgQi+ttHey9i77kEGBvoY/WYtnJ1OtHjKilLvn79+gqv1hDnnd566y0MHDhQ7hPnoxwcHLBr1y4MHz68RuPVRO/vPo/M3AK0drXB8HauSodDRDpE8RUboaGh8PPzk5swZ84ceVks+xPi4+MRE1PcfKgk2z537lz4+Pige/fuOH36NP78809ZK5dI1/k3LF69MbW7J0Q1k10Rt/DUkqPYezZB6dCIiOhvoddTseDn4hrE/9e7GZ70clA6JCIiIrXw/ckbWH30qrz86dBWrNNPtU5Mtk1ISJDlp0pYW1sjICAAgYGB5T4uNzcX6enpD2y64OTVFOw+Ey/PP3wwyJtlVYlIt1Zs9OjRQ2bEy/PPrPprr70mNyIqm6g9O79fc/RtWbx6IzopEy9+H4ZnWjlh4bMtuSyUiEhB8Wn38OL34cgvVKG/jyNe6tFI6ZCIiIjUwuGoJLzzyzl5ec5TTTGwdQOlQyIdJJIaglihcT9xveS2sixatKh0dYiuKCxSydUawoj2bvBuYK10SESkYxRfsUFENcPPrS52z+wiT5oZ6OvJWRS9lxzFnsh4pUMjItJJOfmFePG7MCRn5sLL0RKf/scXeqIWFRERkY47c/MuXtoULk+UDmnjgplPNlY6JFJj8+bNk9+hHrZdvHixVmMSZdTT0tJKt9jYWGi7H8Nice5WOixNDWUykohI51ZsEFHNrt54ra8X+no74tUfziAqMUP+YBCzhN8b6A07rt4gIqoVYnXqGzsjcfpmmmyEKpqFW5jwaxgREdH15CxMWBeC7LxCdGlsh0WDfZj4p4cS5cnHjx//0Pt4eno+1r/t6Ogo/yYmJsLJyal0v7jeunXrch9nYmIiN12RkZOPT/dFycuzejZhZQgiUgR/URPpgFYuNvhlZmcsPxiNrw9fwZ7IBAReScHCgd4Y0MqJPxyIiGrY2uPX8VN4nFxBt3xkG7jamisdEhERkeJuZ+Ri3LpgpGTloaWzFVaO8YexIQtL0MPZ29vLrSZ4eHjI5MaBAwdKExmiX0ZQUBCmTZtWI/9NTbTsUDSSM/PgaWeBsR3dlQ6HiHQUvzEQ6QgTQwPM6d0Mu6Z3RnMnK9zJzsfLW05h6ndhSMrIUTo8IiKtdTw6Gf/dc0FefqN/c3RubKd0SERERIrLzC3AC+tDcCMlG662Zlg3oR3qcDUjVbOYmBhERETIv4WFhfKy2DIzM0vv4+XlhZ07d8rLYtLf7Nmz8cEHH+CXX35BZGQkxo4dC2dnZwwaNEjBZ6I+bqRkYd2x6/LyW880ZzKSiBTDbw1EOkY09Pp5emd8fTgayw5G44/ziQi6liobiw9s7czVG0RE1Sg2NRvTN/+vZvgLnTmjjYiIKK+gCNO+D0NkXBpsLYyx8YUA1Lc0VTos0kILFizAhg0bSq/7+fnJv4cOHUKPHj3k5aioKNkXo8Rrr72GrKwsTJkyBXfv3kWXLl2wd+9emJryNSos2nMReYVF6NbUHk80q690OESkw/RUouizjhHLCK2treXAZWVlpXQ4RIo5fysdr/54Wjb8Eno1r48Pn/OBgxW/sJFuf37qyvOkmpWdV4DBX5/AxYQM+LpYY9vUjrL3EZE205XPT115nkQ1oahIhTnbI7Ar4hbMjAywdUoH+LraKB0W1RJd+fzU1ucZHnNHfr/V1wP2zu6Gpg6WSodERDr8+cn1YkQ6rIWzlSxN9X+9m8LIQA9/XkjCU58fwY9hN2WjWyIiejziM/TVH87IpIZdHRNZM5xJDSIiIuDjvRdlUsNQXw8rRrdhUoNIg77ffvT7RXn5P/4uTGoQkeKY2CDScUYG+pjxZBPsntkVrVyskZ5TgP/74TQmrA9BfNo9pcMjItJIXx++gt8i42XSeNWYNnCyNlM6JCIiIsV989dVrDp6VV7+eEgr9GAZGyKNcTjqNoKvpcqeGrN7NVU6HCIiJjaIqFgzR0v8NK0TXuvbDMYG+vJLS+/Pj2JbSAxXbxARVcLBi4n47I8oefm9gd7wb2irdEhERESKE78rPvjtgrz8el8vDPF3UTokIqpECTmx2koY38kdzjactENEymNig4hKGRro46UejfHby13Q2tUGGbkFeH1HJMauDUbcXa7eICJ6lMuJGZi1JQIiHzwqwA0j2rspHRIREZHifjsTj/k/RcrLU7t54sXunkqHRESV8PPpOFli1dLUEC/1aKR0OEREEhMbRPQvTRwssWNaJ7zR30suM/3rcjL6LDmKTUE3uHqDiKgcd7LyMGljqEwKt/ewxTsDWiodEhERkeIORyVh9rZTKFIBI9q7Yl4/L+jp6SkdFhFVUG5BIRb/cUlentajEWzMjZUOiYhIYmKDiMpkoK+HKd0a4fdZXeHfsC4ycwvw5s6zGP1tEGJTs5UOj4hIreQXFuGlTeG4kZINl7pmWDnaXyaGiYiIdFnI9VS8+H0Y8gtVeKaVEz4Y5MOkBpGG2RIUg5t37sHBygQTOnkoHQ4RUSn+4iaih2pkXwfbp3bE28+0gKmRPo5Hp6DPF0fxXeB1WWeTiIiAhb+eQ+DVFFgYG+Dbce1ga8GZbEREpNvOxqXhhXUhyMkvwhPN7PH5863l5Cki0hw5+YX4+vAVeXnmk01gZmygdEhERKWY2CCiRxI/QCZ28cDeWd3Q3t0W2XmFePvncxj5zUncSMlSOjzSYqmpqRg1ahSsrKxgY2ODiRMnIjMz86H3nzlzJpo1awYzMzO4ubnh5ZdfRlpaWq3GTbpFJHq/PxkDMQH1y+F+aOZoqXRIREREirpyOxPj1gYXl2d0t8XXo7iSkUgTbQmOQVJGLhrYmOH5tq5Kh0NE9AB+syCiCnO3s8DWKR3w7oAWMDMywMmrqej7xV9Yd/waV29QjRBJjXPnzmH//v3YvXs3jh49iilTppR7/1u3bsnts88+w9mzZ7F+/Xrs3btXJkSIasKJ6GS8++t5efm1Pl7o1cJB6ZCIiIgUdfNONsZ8E4SUrDx4N7DCN+PbcpY3kYau1ljx92qNl55oxOQkEakdQ6UDICLNoq+vh/GdPfCklwNe23FaJjcW/noev0cm4LOhvnCrZ650iKQlLly4IJMSISEhaNu2rdy3dOlS9O/fXyYunJ2d//UYb29v7Nixo/R6o0aN8OGHH2L06NEoKCiAoSGHPao+15OzMG1TOAqLVHjOrwFe7O6pdEhERESKik+7h5FrgnArLQeN7C2wYUJ7WJkaKR0WET2GrX+v1nC2NsVQf67WICL1w3QrET0WkcDYPKkD3h/kDXNjAwRfT0W/L49iW0gMVCqu3qCqCwwMlOWnSpIaQq9evaCvr4+goKAK/zuiDJUoZcWkBlWn9Jx8TNwQgrR7+WjtaoNFg9kMlYiIdFtieo5MasSkZsPN1hzfTwpAvTomSodFRI+7WuNIyWqNxlytQURqiZ9MRFSl1RtjOjTEvtnFvTey8grx+o5ITN4YhuTMXKXDIw2XkJCA+vXrP7BPJCdsbW3lbRWRnJyM999//6Hlq4Tc3Fykp6c/sBGVR6zQmLn5FK7czoKTtSlWj/WHqRFLbBARke66nZGLkWtO4lpyFlzqmmHLlA5wsjZTOiwiekzbQmKRmP73ao22LkqHQ0RUJiY2iKjKXG3N5Y+Xef28YGSghz8vJKLPkqPYfz5R6dBIDc2bN0/ObH/YdvHixSr/d0Ry4umnn0aLFi3w7rvvPvS+ixYtgrW1denm6sql1lS+RXsu4Mil2zA10seasW1R39JU6ZCIiIgUk5KZi1HfnJQJf3ESdMvkDrLRMBFp7mqNrw9Hy8vTnmgME0NO4CEi9cS6HERULQz09fBi90bo1sQer2yLQFRiBiZvDMWwtq54e0AL1DHhxw0Vmzt3LsaPH//Q+3h6esLR0RFJSUkP7Bd9MlJTU+VtD5ORkYG+ffvC0tISO3fuhJHRw2s7z58/H3PmzHkgKcLkBpVle0gsvjl2TV5ePLQ1vBtYKx0SERGRYu5k5WHUN0G4lJgJBysTbJ7cQU56IiLN9UPYTblaQ6xMfp6rNYhIjfFMIxFVqxbOVvh5Rmd8vv8S1vx1FdtCY3HiajKWPN8abd1tlQ6P1IC9vb3cHqVjx464e/cuwsLC4O/vL/cdPHgQRUVFCAgIKPdxIinRp08fmJiY4JdffoGp6aNn04v7io3oYUKup+LNXZHy8uxeTfB0KyelQyIiIlJMWnY+xqwNwsWEDNhbFic13O0slA6LiKqgoLAIa45elZendvPkag0iUmssRUVE1U7Umn+jf/PSZeixqffw/KpAfLz3IvIKipQOjzRE8+bN5aqLyZMnIzg4GMePH8eMGTMwfPhwODs7y/vExcXBy8tL3l6S1OjduzeysrLw7bffyuuiH4fYCgsLFX5GpMlu3snGi9+FIb9Qhf4+jnj5ySZKh0RERKSY9Jx8jF0XjLNx6ahnYYzNkwLQyL6O0mERURX9fjYBManZqGtuhOfbcQU7Eak3JjaIqMZ08KyH32d3xZA2LihSASsOX8Gg5ccRlZChdGikITZt2iQTFz179kT//v3RpUsXrF69uvT2/Px8REVFITs7W14PDw9HUFAQIiMj0bhxYzg5OZVusbGxCj4T0mQZOfmYuD4UKVl5aOlshc+G+kJfX0/psIiIiJRbqfFNEE7H3pUnPzdNDkATB0ulwyKiKlKpVFh19Iq8PLajO8yNWeSFiNQbP6WIqEZZmRph8fO+eKpFfcz/KRLn49MxYNkxvNanGV7o7MGTg/RQtra22Lx5c7m3u7u7yy/gJXr06PHAdaLqWI4/Y/Mp2TeovqWJbBbOH3lERKTLPTVE+SmxUkMkNb6fFAAvRyulwyKianA8OkW+t02N9DGuk7vS4RARPRJXbBBRrejr7YR9r3TDE83sZTmqD367IH8UJabnKB0aEVGZRJJs4a/nceTSbZgZGeDbce3gbGOmdFhERESKSMnMxYg1J0vLT22Z0gEtna2VDouIqsnKI8WrNYa3c4OthbHS4RARPRITG0RUa+pbmmLt+Hb48DlveZJQzAjp+8VR/HEuQenQiIj+Zf2J6/ju5A3o6QFLhrWGjwtP3hARkW66nVGc1BCNwu3qmGDrlA5cqUGkRc7GpeFYdDIM9PUwsYuH0uEQEVUIExtEVKv09PQwKqAhfp3ZRdaqv5OdjynfheHNnZG4l8fmzkSkHg5cSMT7u8/Ly/P6eqGvt6PSIRERESkiKT0Hw1cH4lJiJhysTLBtagf21CDSMt8euyb/Pu3jBFdbc6XDISKqECY2iEgRjevXwU8vdcKUbp7y+qagGNl749ytNKVDIyIdd/5WOmZuOYUilViK71r6OUVERKRr4tPuYdjqk7hyOwvO1qbYNqUjGtnXUTosIqrm5OXuM7fk5UlduVqDiDQHExtEpBgTQwO80b85vpvYXjbljU7KxHPLT+Cbv66iSJxRJCKqZaLvz8QNIcjOK0SnRvXw/iBvudKMiIhI19y8k43hq0/iWnIWGtiYYdvUjnC3s1A6LCKqZt8HxSC/UAX/hnXRysVG6XCIiCqMiQ0iUlzXJvbYO7sbejV3QF5hcWPx8etDkJTBxuJEVHuy8wowaUMo4tNy0MjeAitG+cPIgF+ViIhI94gJR0NXBuJGSjbcbM1l+SmWpyHSPrkFhdgcdENentDZXelwiIgqhb/WiUgt2FoYY81Yf3wwyBsmhvo4euk2+n3xFw5eTFQ6NCLSAWKV2OytEYiMS5OfR2vHt4O1uZHSYRERESnSRPj5VYEy0d+kfh1sn9oRLnWZ1CDSRr+ejkdyZh6crE3RpyV7yhGRZmFig4jUhij3MrpDQ+ye2QXNnayQkpWHF9aH4p2fzyInn43FiajmfLzvIv44nwhjA32sHuOPhvVYaoOIiHRP8LVUjFh9EqlZeWjlYi3LTzlamyodFhHVAJVKhXXHi5uGj+nYkCuViUjj8FOLiNROEwdL7JreCRO7FDcu2xB4A4O/PoGrtzOVDo2ItNDW4BisOnJVXv7kP63Q1t1W6ZCIiIhq3eGoJIxdG4SM3AK097DFpkkBchUjEWmnkOt3cO5WOkyN9DGinZvS4RARVRoTG0Skto3F336mBdZNaCd/UJ2PT8eApcfwc0Sc0qERkZadxHlz11l5eVbPJhjk10DpkIiIiGrdb2fiMXljKHLyi/BEM3tsfKE9LE1ZkpFIm20MvC7/DmrdAHWZxCQiDcTEBhGptSea1cfvs7oiwMMWWXmFmLU1Aq//eAb38liaioiqXkN8+qZwFBapMNivAWb3aqJ0SERERLVue0gsZm4JR36hCs+0csKqMW1hamSgdFhEVIOSM3Ox71yCvCzKQRMRaSImNohI7TlYmWLz5A5yNrWeHrAtNBYDlx/DpcQMpUMjIg118042JqwPkQnTzo3r4aMhrWSfHyLSDStWrECrVq1gZWUlt44dO+L3339XOiyiWq+v//XhaLy24wyKVMCI9m74crgfjA15moBI2/0YdlMmM31drOHdwFrpcIiIHgu/sRCRRjDQ18MrTzXFpokBsLc0waXETDy77JicYSZ+lBERVVRadj7GrwvB7YxceDlaYsVof57EIdIxLi4u+OijjxAWFobQ0FA8+eSTGDhwIM6dO6d0aES1QqxWfPeXc/hkb5S8/mL3Rvjvc97yOzcRabeiIhW2BMfIyyMD2FuDiDQXf8UTkUbp1NhOlqbq2sRO1gAWM8xe2RaBzNwCpUMjIg2QW1CIKd+FIjopE45WprKPjxVriBPpnAEDBqB///5o0qQJmjZtig8//BB16tTByZMnlQ6NqMbl5BfK0lMbAm/I1dALnmmBef28uHKRSEecuJKCGynZsDQxxABfZ6XDISJ6bExsEJHGsatjgg0T2uO1vs3krLJdEbdkY/EL8elKh0ZEaj477f9+OIOga6nyh5xIajhZmykdFhEprLCwEFu3bkVWVpYsSVWW3NxcpKenP7ARaaK0e/kYtzYYeyITYGygj6Uj/PBCFw+lwyKiWrQ5+Ib8+1ybBjA3NlQ6HCIizU1sHD16VM6YcnZ2ljNEdu3a9cjHHD58GG3atIGJiQkaN26M9evX10qsRKQ+9PX18FKPxtg2pQOcrE1xLTkLz319HDvCbiodGhGpqY/3XcSvp2/BUF8PK8f4o7mTldIhEZGCIiMj5SoN8ZvixRdfxM6dO9GiRYsy77to0SJYW1uXbq6urrUeL1FVJaTl4PmVgaUJ/vUvtMMzrThbm0iXJGXk4I9zifIyy1ARkaZTPLEhZkb5+vpi+fLlFbr/tWvX8PTTT+OJJ55AREQEZs+ejUmTJmHfvn01HisRqZ+27rbY83JXdG9qL0tTzf3hNN7YGSmX2BMRldgYeB2rjlyVlz8e0gqdG9spHRIRKaxZs2by90RQUBCmTZuGcePG4fz582Xed/78+UhLSyvdYmNjaz1eoqq4nJiBwV8fR1RiBupbmmDb1I7o1IhjIZGu+SH0JgqKVGjjZgMvR07yISLNpvias379+smtolauXAkPDw8sXrxYXm/evDmOHTuGJUuWoE+fPjUYKRGpq7oWxlg3vh2WHozGFwcuYXNQDM7GpWH5yDZwtTVXOjwiUtj+84myQaow96mmGOLvonRIRKQGjI2N5epvwd/fHyEhIfjyyy+xatWqf91XrOoQG5EmCr2eiokbQmUZKk97C2x8oT1c6vI7MpGuUalU+PHvCgfD23O1BhFpPsVXbFRWYGAgevXq9cA+kdAQ+4lIt0tTzerVBOsntIeNuRHO3EzDgGXHcCgqSenQiEhBp2LuyAapRSpgeDtXzHiy+CQmEdE/FRUVyV4aRNrk54g4jPwmSCY1/NxssOPFTkxqEOmo8Ji7soSzmZEB+vs4KR0OEZHuJTYSEhLg4ODwwD5xXTTwu3fvXpmPYbM/It0hSlLtntkFvi7WuJudjxfWh+Dz/ZdQKM5qEpFOET/cJm0IlWXqejSzxweDvGU/LyIiUVpK9Pq7fv267LUhros+fqNGjVI6NKJqm5m99MBlzNoagbyCIvRu4YDNkzrIlc5EpJt2hBev1ujn44g6JooXcCEi0r3ExuNgsz8i3SJmoW1/sSNGd3CDSgV8deAyxq8LRmpWntKhEVEtSUzPwZhvg5CSlQfvBlayNJ2hgU587SGiCkhKSsLYsWNln42ePXvKMlSiZ99TTz2ldGhEVZZbUCj7zi3ef0len9LNEytH+8PM2EDp0IhIIaIH5a+nb8nL/2nDsqxEpB007he+o6MjEhMTH9gnrltZWcHMzKzMx7DZH5HuMTE0wAeDfLBkmC9MjfTx1+VkPPPVXzgde1fp0IioholyG+PWBuPmnXtwr2cuS9RZcFYaEd3n22+/las1xMpukeT4888/mdQgrXAnKw9jvg3GT+FxMNDXw4fPeeON/s1l2VYiXfThhx+iU6dOMDc3h42NTYUeM378eLnK9/6tb9++0PSecxk5BWhgY4YOnvWUDoeISDcTGx07dsSBAwce2Ld//365vzyi0Z9IfNy/EZFueM7PBbumd4aHnQVupeVg6KpA7Pi7YRoRaedstMkbQnExIQP2lib4bmIA7Oqw4S8REelGCcbBK04g+FqqLDOzdnw7jApoqHRYRIrKy8vD0KFDMW3atEo9TiQy4uPjS7ctW7ZAG8pQPefXgIlOItIaik9fzMzMRHR0dOn1a9euISIiAra2tnBzc5OrLeLi4rBx40Z5+4svvohly5bhtddewwsvvICDBw9i+/bt+O233xR8FkSkzrwcrfDLjM54ZVsE/ryQJJfmn7uVjjf6e7E0DZEWKSgswstbTiH4eiosTQyxYUJ7uNqyQSoREWm/oKspmPp9mOwxJ2Zki6RGM0dLpcMiUtzChQvl3/Xr11fqcWKCrKgYoi0lWo9eui0vD/FnGSoi0h6Kn9ELDQ2Fn5+f3IQ5c+bIywsWLJDXRWY8Jiam9P4eHh4yiSFWafj6+mLx4sX45ptv0KdPH8WeAxGpP0tTI6we0xYvP9lYXl97/BrGrg2Wy/WJSPOJJqlv7TqLP84nwthQH2vGtUULZ67QJCIi7fdDaCxGfxskkxq+LtbYOb0TkxpEVXT48GHUr19f9mISqz1SUlIeen9R2jA9Pf2BTV3sOhWHIhXg37CurGRARKQtFF+x0aNHD3kyojxlZdXFY06dOlXDkRGRthFLbuf0biZPds7ZfhonrqRgwLJjWDO2LZo78QQokSb7fP8lbA2JhVhZ/9VwP9YOJiIinVip+OGeC1h3/Lq83s/bEZ8/35pNwomqSJShGjx4sJxYe+XKFbzxxhvo168fAgMDYWBQ9vtr0aJFpatD1M3PEcVNwwe3aaB0KERE2rVig4iotvX1dsLOlzrDzdZcNhce/PUJ/HYmXumwiOgxrT9+DUsPFpe1/GCQD/p6a0fZACIiovLczc7D+HUhpUmNl3s2wfKRbZjUIJ0wb968fzX3/ud28eLFx/73hw8fjmeffRY+Pj4YNGgQdu/ejZCQELmKozyijHpaWlrpFhsbC3Vw5XYmzsenw1BfD/29nZQOh4hIu1ZsEBEpQSzPF303Zm45hb8uJ2P65nCcj2+EuU81YzM1Ig3yy+lbWLj7vLw856mmGBngpnRIRERENepSYgYmbwzFjZRsmBkZ4PPnfdHPhycsSXfMnTsX48ePf+h9PD09q+2/J/4tOzs72R+2Z8+e5fbkEJu62X26eAJflyZ2qGthrHQ4RETViis2iEhn2ZgbY934dpjc1UNeX37oCqZtCkN2XoHSodHfUlNTMWrUKFhZWcHGxgYTJ05EZmZmhR4ryhyKJeNixtauXbtqPFaqfQcvJmLOtgiIipZjOzbEzL976BAREWmr/ecT8dzy4zKp4VLXDD+91IlJDdI59vb28PLyeuhmbFx9J/Fv3rwpe2w4OWnWe038Hvr1THEZqmdaOSsdDhFRtWNig4h0mqGBPt58uoWc6WZsoI995xIxbNVJJKbnKB0aATKpce7cOezfv18uAT969CimTJlSocd+8cUXMqlB2unk1RRM+z4cBUUqDGztjHcGtOT/byIi0lriBOWyg5cx5btQZOUVooOnLX6Z0YV94ogeISYmBhEREfJvYWGhvCy2+ydLiUTIzp075WWx/9VXX8XJkydx/fp1HDhwAAMHDkTjxo3Rp08faJKoxAxEJ2XK37m9WzooHQ4RUbVjKSoiItlIzQWutuaY+l0YIuPSMHDZcXwzri28G1grHZrOunDhAvbu3Svr2bZt21buW7p0Kfr374/PPvsMzs7lzzoSP1YWL16M0NBQjZtZRY92OvYuJq4PQW5BEXo1d8BnQ31hwBJyRESkpbJyC/Daj2fwW2RxSRmxSvHtZ1rAyIDzFIkeZcGCBdiwYUPpdT8/P/n30KFD6NGjh7wcFRUl+2IIojn4mTNn5GPu3r0rf3P07t0b77//vlqWmnqYX08Xr9bo3sweVqZGSodDRFTtmNggIvpbO3db7HqpMyasD8aV21l4flUgvhzuh6dacHaLEgIDA2X5qZKkhtCrVy/o6+sjKCgIzz33XJmPy87OxsiRI7F8+XI4OlasiXRubq7cSqSnp1fDM6CaEJWQgXHrguVs1U6N6mHZSD+e2CEiIq0lZlu/+H2Y/GtkoIf3BnpjRHv2kyKqqPXr18vtUSuiSpiZmWHfvn3QdOI57T5TnAwd4MsyVESknXgmgIjoPm71zPHTS53RpbEdsvMK5XL/NUevPvBll2pHQkIC6tev/8A+Q0ND2NraytvK88orr6BTp05yyXhFLVq0CNbW1qWbq6trlWKnmnEjJQujvw3C3ex8tHa1wZqxbWFqZKB0WERERDViT2Q8Bi47JpMaDlYm2DK5A5MaRFQhogqB6MVjaqSPnl4P/qYiItIWTGwQEf2DtZkR1k1oh5EBbrIp8Yd7LuCNnWeRX1ikdGhaYd68ebIXwsO2ixcvPta//csvv+DgwYOyv0ZlzJ8/Xy4/L9liY2Mf679PNSc+7R5GfROE2xm58HK0xPoJ7WBhwoWnRESkfcR3zg9/O4+XNoWX9tPYPbMr2rrbKh0aEWmIktUaPZs78DszEWktfroREZVBlLb5cJA3GtnXwQe/nceW4BjEpmZjxeg2sGR90iqZO3cuxo8f/9D7eHp6yjJSSUlJD+wvKChAampquSWmRFLjypUrsoTV/YYMGYKuXbvi8OHDZT5O1MvVtJq5uiQlMxejvwnCzTv34F7PHBsntoeNubHSYREREVW7pIwczNh0CsHXU+X1qd088WqfZjBk2UUiqiBRbWDv2eIV7s/4sN8gEWkvJjaIiMohVg5M7OIhT6TO3HIKx6KTMWzVSax/oR3qW5oqHZ7Gsre3l9ujdOzYUTbsCwsLg7+/f2nioqioCAEBAeWuBpk0adID+3x8fLBkyRIMGDCgmp4B1aa0e/kYu7a4742ztSm+nxTA9x8REWmlkOupcpWGWJ1Yx8QQnw1thb7ePClJRJUTlZiBmNRsmBjqy8bhRETaitM+iIgeQSzf3TalI+zqGON8fDoGf30CV25nKh2W1mvevDn69u2LyZMnIzg4GMePH8eMGTMwfPhwODsXN8CLi4uDl5eXvF0QKzm8vb0f2AQ3Nzd4eHgo+nyo8jJy8jF+XTDO3UpHPQtjfDcpAC51zZUOi4iIqNpnV3/z11WMWH1SJjWaOtTBLzM6M6lBRI/lj3OJ8m/XJnYwN+Z8ZiLSXkxsEBFVgI+LNXZM6yRXb4hyOP9ZcQLhMXeUDkvrbdq0SSYuevbsif79+6NLly5YvXp16e35+fmIiopCdna2onFS9cvKLcAL60NwKuYubMyN8N3EAFkajoiISJvcycrDpA2h+OC3CygoUuFZX2fsmt4ZnhzziOgx/XG+uAxV7xZll+8lItIWTN0SEVVQw3oW+HFaJ0xcH4LTN9Mwcs1JLBvRBr1aOCgdmtaytbXF5s2by73d3d1dznJ8mEfdTurnXl4hJm4IQcj1O7AyNcT3EwPQwtlK6bCIiIiqvfTUy1tOIT4tB8aG+nj7mRYYHeAmy6ESET2OW3fv4WxcOvT1ROWB+kqHQ0RUo7hig4ioEuzqmGDz5A7o0cweOflFmPJdqGwsTkTVIye/EJM3huLk1VRZX3zjxAB4N7BWOiwiIqJqU1SkwvJD0Ri++qRManjaWWDXS50xpkNDJjWIqEr2ny8uQ+XfsC7q1TFROhwiohrFxAYRUSVZmBhizdi2GOrvgiIVMP+nSKw6ckXpsIg0Xm5BIaZ+F4Zj0ckwNzbAhhfaobWrjdJhERERVRvRQ2PcumB8ui8KhUUqPOfXAL/O7MKViURULViGioh0CUtRERE9BiMDfXzyn1awszTBisNXsOj3i8jMLcCcp5pyph3RY8grKML0TeE4cuk2TI30sW58O/g3tFU6LCIiompz7HIyZm+LQHJmLsyMDPDewJb4j78LvzsSUbVIy86Xq56Fp1gumYh0ABMbRESPSfwIfb2vFyxNDfHJ3igsPRiNjJwCLHimBfRFUVMiqpD8wiLM3BKOPy8kwcRQH9+Oa4cAz3pKh0VERFRtyfvP91/CqqNXIFp/NXOwxLKRfmjiYKl0aESkRQ5GJcqVYOIzxt3OQulwiIhqHBMbRERV9FKPxrA0McTbP5/D+hPXkZVbgI+GtIIBkxtEj1RQWIRXtkVg37lEGBvoY/XYtujc2E7psIiIiKpFdFIGZm2NwLlb6fL6iPaueGdAS5gaGSgdGhFpaX+N3i25WoOIdAMTG0RE1WBMR3eYGxvi1R9P44ewm8jKK8AXw/xgbMhWRkQPW6kxa+sp7IlMgJGBHlaMboPuTe2VDouIiKjKVCoVvj95Ax/uuYCc/CLYmBvho8E+6OvtpHRoRKSl36v/upQsL/dszsQGEekGJjaIiKrJEH8XWJgYYOaW4hO1WbmhWDXGnzPyiMopyyHKT4mVGiKp8fUof/4IIyIirWkQ/vqOMzh4MUle79rEDp8N9YWDlanSoRGRlgq7cQcZuQWoZ2GMVg2slQ6HiKhWcCoxEVE1ErPwvhnXTjY/Fk2QJ28MRU5+odJhEamV3IJCvLQprLj8lKE+Vo9pywaHRESkFQ5cSETfL47KpIYY40TvtQ0T2jOpQUQ16nDUbfm3W1N79nskIp3BxAYRUTUTpXTED1gzIwP8dTmZyQ2i+4j3wovfhclG4eKEz5qxbfGEV32lwyIiIqoS0WPtzZ2RmLghFClZefBytMQvMzrjhS4ePMlIRDXucFTxCrEezVjWlYh0BxMbREQ1IMCzHtZPaMfkBtF9xHtgyndhOBR1GyaG+lg7rh17ahARkcYLupqCfl/+hU1BMfL6xC4e2DW9M7wcrZQOjYh0QEJaDi4mZEBPT5S+43drItIdTGwQEdVwcsPcmMkNont5hZi0IRRHL92WCb91E9qhSxM7pcMiIiKq0ti28NdzGL7mJGJSs9HAxgybJgXg7WdasMcaEdWaI5eKV2v4utjA1sJY6XCIiGoNExtERDWc3Fg3/n/JDTFbXfQXINIl2XkFeGF9CI5FJ8v3gkj4dWrEpAYREWmusBup6P/VX1h3/DpUKmB4O1fsnd0VnRtzfCMiZfprsAwVEekaJjaIiGpl5UZxzw0xW33WlggUFBYpHRZRrUjPyce4tcEIvJoCC2MDbHyhvXxPEBERaSKx+nbRngsYujIQ15Kz4GhlKhP2Hw1pBUtTI6XDIyIdI35XHrucLC/3aMa+dUSkW5jYICKqBe09bGWTZGMDfew9l4DXdpxBUZFK6bCIalRKZi5GrjmJkOt3YGlqiI0TA9DW3VbpsIiIiB5LROxdDFh6DKuOXoX4GjekjQv2vdKNJxOJSDGnb6YhI7cANuZG8GlgrXQ4RES1yrB2/3NERLpL9BNYNtIP0zaF46fwONQxMcTCZ1tCT3R5I9LCJoajvw1CdFKmrPUrVmp488cWERFpoKzcAiz+4xLWn7gmExr2lib473M+eKqFg9KhEZGOOxFdvFqjo2c9GOjzdyUR6Rau2CAiqkW9Wzpi8VBfiFzGxsAb+HRflNIhEVW7mJRsDF11QiY1RImO7VM7MqlBREQa6cil2+i95CjWHi9Oajzn1wB/zO7GpAYRqYXjV4oTG+zvQ0S6iCs2iIhq2SC/BsjKK8CbO8/i68NX5Gz2SV09lQ6LqFpcTszAqG+CkJSRi4b1zPH9xAC42porHRYREVGlpGbl4YPd5/HTqTh5vYGNGf472Afdm7I5LxGph3t5hQi/cVdeZmKDiHQRExtERAoYFdAQGTkF+Oj3i/jgtwtwtDbFM62clQ6LqEoib6Zh7Nog3MnOR1OHOjKpUd/KVOmwiIiIKkylUuGX07ew8NfzMrkhVtlO6OSBub2bwsKEP5+JSH2EXE9FXmERnK1N4V6PE4mISPfwmxkRkUKmdvOUfQjWn7iOOdtOw76OCQI86ykdFtFjCb6WionrQ2TzQl8Xa6yf0B51LYyVDouIiKjCbt7Jxlu7zuJw1G15vZmDJT4a4gM/t7pKh0ZEVG4Zqk6N7di3kYh0EhMbREQKEV8+336mBeLT7mHfuURM3hiKHdM6oYmDpdKhEVXKoYtJmLYpDDn5RQjwsMU349rC0tRI6bCIiIgqJL+wCGuPXcOXBy4jO68Qxgb6eLlnY0zp1gjGhmxLSUTq6UR0ivzbuTEnxxGRbuK3NCIiBRno6+HL4X5o42aD9JwCjF8XgsT0HKXDIqqw7aGxmLQxVCY1nmhmjw0vtGdSg4jU3qJFi9CuXTtYWlqifv36GDRoEKKiopQOixRw8moK+n/5Fxb9flEmNdq518WeWV0x48kmTGoQkdq6m52Hs7fS5OVOjdhfg4h0E7+pEREpzNTIAN+OawdPOwvE3b2HCetCkJ1XoHRYRI+sQf714Wi89uMZFBapMLhNA6we21a+nomI1N2RI0cwffp0nDx5Evv370d+fj569+6NrKwspUOjWnI7IxdztkVg+OqTuJyUCVsLY3z6n1bYNqUjGtevo3R4REQPdfJqKlQqyM8rB/a0IyIdxVJURERqQPQiEDPdn/v6OM7Hp+PVH85g2Ug/1koltVRUpMJ7u8/L/jDC1O6emNfXi69XItIYe/fufeD6+vXr5cqNsLAwdOvWTbG4qOaJZPymoBv4dF8UMnIKZHPwke3d8GqfZrAxZ28oItKc/nZCB09bpUMhIlIMExtERGrC1dYcK0b7Y+Sak/gtMh5eBy0xs2cTpcMiekBuQSHmbD+N387Ey+uiT8zELh5Kh0VEVCVpacXlPGxtyz5BlJubK7cS6enptRYbVZ+I2Lt4a1ckzsYV///zaWCNDwZ5w9fVRunQiIgqJfh6cX+N9h7sr0FEuoulqIiI1Eg7d1u8N9BbXl68/xL+OJegdEhEpTJy8mWpNJHUMDIQ/WFaM6lBRBqvqKgIs2fPRufOneHtXTwGl9WTw9raunRzdXWt9TipamWnXv/xjFwZK5IalqaGeH9gS+ya3plJDSLSyO/k528VJ2jbu3PFBhHpLiY2iIjUzIj2bhjbsaG8/Mq2CEQlZCgdEhGSMnIwbNVJnLiSAgtjA6wd3w4DWzdQOiwioioTvTbOnj2LrVu3lnuf+fPny1UdJVtsbGytxkiPJ6+gCKuPXsETnx3GttBYWY9+sF8DHJzbA2M6usNAnyUUiUjzhMfcRZFKrPg3g6M1+2sQke5iKSoiIjUkyvtcTsxE4NUUTN4Yip+nd5Z9OIiUEJ2UgQnrQxCbeg92dYyxbnx7+LhYKx0WEVGVzZgxA7t378bRo0fh4uJS7v1MTEzkRppBpVLh4MUkfPDbBVxLLm4I38rFGu8MaAH/hpzdTESaLfja32Wo3FmGioh0m1qs2Fi+fDnc3d1hamqKgIAABAcHl3tf0dhPNCe9fxOPIyLSJkYG+lg+qg1c6pohJjUbr2yPkA2bdU1qaipGjRoFKysr2NjYYOLEicjMzHzk4wIDA/Hkk0/CwsJCPlY0gr13716txKxtTlxJxuCvT8ikRsN65tgxrROTGkSkFSe+RVJj586dOHjwIDw8WFZPW1xOzMDYtcGYuCFUJjXs6pjg0/+0wq6XOjOpQURaIeTaHfm3vUddpUMhItLtxMa2bdswZ84cvPPOOwgPD4evry/69OmDpKSkch8jTlLFx8eXbjdu3KjVmImIaoOthTHWjG0LE0N9HI66jVVHr0LXiKTGuXPnsH///tIZtVOmTHlkUqNv377o3bu3TJSHhITIk1f6+ooPeRrnx7CbGLc2GOk5BfBvWBc/TeuEhvUslA6LiKhayk99//332Lx5MywtLZGQkCA3JsE1V1p2Pt795Rz6fvkX/rqcDGMDfbzYvREO/V93DG3rCn2WnSIiLZBbUIiIm3dL+zMSEekyxUtRff7555g8eTImTJggr69cuRK//fYb1q5di3nz5pX5GLFKw9HRsZYjJSKqfc2drLDw2ZaY91MkPvsjCm3d6+rMF9gLFy5g7969MjHRtm1buW/p0qXo378/PvvsMzg7O5f5uFdeeQUvv/zyA2NIs2bNai1ubZnJvOTPy/jqwGV5/elWTlg81BemRgZKh0ZEVC1WrFgh//bo0eOB/evWrcP48eMViooe9yTfd4E3sPRgNNLu5ct9T7VwwJv9m8Pdjsl4ItIuZ26myf5BojysBz/jiEjHKTp9NS8vD2FhYejVq9f/AtLXl9fFjNvyiDIkDRs2hKurKwYOHChn8z5Mbm4u0tPTH9iIiDTFsHaueM6vAQqLVJi5+RRSMnOhC8Q4IMpPlSQ1BDE+iHEiKCiozMeI1X7itvr166NTp05wcHBA9+7dcezYsVqMXPNPEImm9SVJjZd6NMLS4X5MahCR1iVwy9qY1NAcokTnzxFx6Ln4iOylIZIaTR3q4LuJ7eWKVyY1iEgbBV9LlX/be9jKSb9ERLpM0cRGcnIyCgsL5Ymn+4nrYil4WcSsW7Ga4+eff5bLx4uKiuTJq5s3b5b731m0aBGsra1LN5EQISLSFOIL6weDvNHI3gIJ6Tl47ccz8uSLthPjgEhQ3M/Q0BC2trbljhFXrxaX63r33XflakCx4qNNmzbo2bMnLl8uPlFfFibAi93JysOYb4KxK+IWDPT18NFgH7zW14vlO4iISO36Pw1cfhyztkbg5p17qG9pgo+H+GDPy13RtYm90uEREdWY0OvFiY227BlERKR8j43K6tixI8aOHYvWrVvLWbg//fQT7O3tsWrVqnIfM3/+fKSlpZVusbGxtRozEVFVWZgYymbiol70gYtJ2BKsuZ9jokSUSNY8bLt48eJj/dsi2S1MnTpVljj08/PDkiVLSpPi5WECHLienIXBK04g+HoqLE0MsX5COwxv76Z0WERERKWiEjLwwvoQjFwThMi4NNQxMcT/9W6Kw6/2wLB2bjA00Lift0RUw65fv46JEyfCw8MDZmZmaNSokezxKiqIPExOTo7sx1SvXj3UqVMHQ4YMQWJiIpQkJrdFxBb312jTkI3DiYgU7bFhZ2cHAwODfw0O4npFe2gYGRnJE1fR0dHl3sfExERuRESazMvRCq/1bSbLLby/+zw6NaqnkWUW5s6d+8hSH56ennIcEKWl7ldQUIDU1NRyxwgnJyf5t0WLFg/sb968OWJiYh6aAJ8zZ07pdbFiQ5eSG8ejk/HSpnBZxqOBjRnWjm+HZo6WSodFREQk3bp7D1/+eRk/hMWiSAUY6uthZIAbXu7ZBHZ1+DuPiMonJkyJyU9iMmzjxo1x9uxZubI7KytL9u0rj+jbJ/q//vDDD3Li04wZMzB48GAcP34cSolJzcad7Hw52a25E7+rExEpmtgwNjaGv78/Dhw4gEGDBsl9YsAR18WgURGilFVkZKRsJktEpO1e6OyBAxeSEHg1Ba9sj8APUztq3OxEscpObBVZoXf37l3Zi0mMFcLBgwflOBEQEFDmY9zd3WVT8aioqAf2X7p0Cf369Sv3v6WrCXAx62tj4A28t/u87OHi62qDNWP8Ud/KVOnQiIiIcDsjF18fjsamkzHIKyxeldnP2xGv9mkGT/s6SodHRBqgb9++crt/ApX4rbBixYpyExui0se3336LzZs348knn5T71q1bJydLnTx5Eh06dIASTsUUr9Zo2cAKJobsf0dEpPjZMDFDds2aNdiwYQMuXLiAadOmycy5KCEiiLJTYiZtiffeew9//PGHrKMeHh6O0aNH48aNG5g0aZKCz4KIqHaIXgefPe8rSwWJL7Yrj1yBthI/HMSPEDGjKjg4WM6OEknv4cOHy+SFEBcXBy8vL3m7IMpYvfrqq/jqq6/w448/ytV8b7/9tpypJZag0//kFRThjZ1n8c4v52RSQzSo3zalA5MaRESkuLvZefh470V0++QQ1h2/LpMaAR622DGtI1aM9mdSg4iqRCQuRN++8oiJVfn5+ejVq1fpPvGbw83NDYGBgVBKSRmq1q42isVARKROFF2xIQwbNgy3b9/GggULZDNY0TtDNHstaSguSofo6/8v/3Lnzh15kkvct27dunIW74kTJ/5VdoSISFuJUkELB7bEnO2n8dWBaPTzcUIjLf2Bv2nTJpnMEM2/xVggatuKpEUJ8YNDzLjKzs4u3Td79mxZE1csHxdlq3x9fbF//35ZT5eKpWTmYtqmcARfS4WeHvB6Xy9M7eYpE0NERERKycwtwNpj17Dm6FVk5BbIfWI1oeij0aWxHccpIqoyMfFp6dKlDy1DJc43iQojNjYPJhDEeSpxW1lyc3Pldn9p2+p2iokNIiL1SmwI4qRVeaWnDh8+/MB10QRWbEREukzMrv854haOXLqN+T9FYuvkDnI1h7YRM6nEEvDyiNJTopxSWQ3KxUb/diE+HZM3huLmnXuy6epXI1rjSa/iyQRERERKyMkvxMbA61hx+IqsHy94OVpibu9m6NW8PhMaRPQv4rv+xx9//ND7iKogYqVFCbHaW6wIHzp0qJwwW50WLVqEhQsXoiY/J8/fSpOX27ixcTgRkdokNoiIqHLED/wPBnmj95Kjcta9aKY5rJ2b0mGRmtt3LgGvbItAdl4hGtYzxzdj26KJAxsPEhGRMsSJui3BMTKhkZRRPNPZw84CrzzVFM/4OGnlpA0iqh5z587F+PHjH3of0U+jxK1bt/DEE0+gU6dOWL169UMf5+joiLy8PNnv7/5VG4mJifK2sogS6qLU+v0rNlxdXVFdzsenI79QhXoWxnCpa1Zt/y4RkSZjYoOISEO52prjlaea4L97LspNzLq3t9S9Btj0aEVFKnxx4DK+OnBZXu/cuB6Wj2wDG3NjpUMjIiIdlJ1XIBuCrzp6FcmZuaWlNmf1bILBbRrA0EDxVpBEpObs7e3lVhFipYZIaohS5qIJ+P3lzssi7mdkZIQDBw7IUriCKH8rSqV37NixzMeYmJjIraYbh/u52XAVGxHR35jYICLSYC909sCuU7fkDJ4PfzuPL4b7KR0SqWED1tnbInA46ra8Pq5jQ7z1TAsY8aQREREp0ENDlJz65q9rSM3KK01oTOvRCEPbusDE0EDpEIlIy4ikRo8ePdCwYUPZV0P0eC1RsvpC3Ef09Nu4cSPat28Pa2trTJw4Ua7AEKVxraysMHPmTJnU6NChgyLPg43DiYj+jYkNIiINJmY0fjTEBwOXH8euiFsY39mDX3ap1Nm4NEzbFIbY1HswMdTHf5/zwRB/F6XDIiIiHZN2Lx8bTlzHt8euycuCm605pj/RCM/5ucDYkMl2IqoZ+/fvlw3Dxebi8uD34JJeffn5+XJFRnZ2dultorerWNkhVmyIpuB9+vTB119/DaVExN6Rf1u7sr8GEVEJJjaIiDRcKxcb2Uz8p/A4fLD7PH54sSOXJxN2hN3EGzsjkVtQBFdbM6wc7Y+WztZKh0VERDrkTlYe1h2/hnXHryMjt0Du87SzwIwnG+NZX2eWnCKiGif6cDyqF4e7u3tpkqOEqakpli9fLjd1WIEtJioJPi78Pk9EVIKJDSIiLfBqn2bYExmP0Bt3sPdsAvr5OCkdEikkr6AI7+8+j+9O3pDXn2hmjy+G+cHa3Ejp0IiISEfcvJMty01tC4nFvfxCua+pQx3MeLIJnvZxggGbghMRVdi5W+mlK92szfidnoioBBMbRERawMnaDFO6euKrg9FY9PtFPNm8PutU66CEtBxZeqqkuaBowio2fZ5AIiKiWnD+VjpWH72CX8/Eo7CoePZzS2crzHiiMfq0dOR4RET0GM7dSpN/vRtYKR0KEZFaYWKDiEhLTO3eCFtCYhGTmo3vAm9gUldPpUOiWnT00m28si0CKVl5sDI1xBfDW+NJLwelwyIiIi0nyrcEXk3BqiNXceTS/5rydmlshxe7N0LnxvVYIpOIqArOxhWv2GBZWSKiBzGxQUSkJSxMDPF/vZvi9R2RWHYoGsPbu6GOCT/mtV1BYRGW/HkJXx++AlEauLmTFVaOboOG9SyUDo2IiLSYWJGx71wCVh25gtM3i2cTiwUZ/X2cZELDuwFPwBERVYezf6/YECvgiIjof3jGi4hIiwxp4yJnTF5NzsKGE9cx/YnGSodENSg+7R5mbYlA8PVUeX1UgBvefqYFTI1YhoyIiGpGRk4+fgi9iQ2B13EjJVvuMzHUx7B2rpjUxRNu9cyVDpGISGtk5RbgWnKWvMwVG0RED2Jig4hIixga6GNmz8Z4ZdtpfPPXVYzr5M5VG1rqUFQS5myLwJ3sfPn/eNFgHwzwdVY6LCIi0lIxKdlYf+I6tofGIjO3QO4TTWzHdWwov2/Uq2OidIhERFrnQny6XJXtYGUCe0t+zhIR3Y9nu4iItMyAVs5YeiBartrYEhSDyd3Ya0Ob5BcW4bM/ouTKnJIl6ctGtoGHHUtPERFR9ffPCLqWirXHrmH/hUR5ck1oZG+BF7p44Dm/BjA35k9KIqKacu5WcX8Nb67WICL6F34LJSLSwlUborb1azvOYO3xaxjf2R1GBvpKh0XVIO7uPby85RTCbtyR18d2bIg3+jdn6SkiIqpWOfmF+PX0Law9fl3OFi7Rvam9TGh0bWwHfdFQg4iIatTZOPbXICIqDxMbRERaaKCfMz7ZF4X4tBz8diYeg/waKB0SVdHuM7fwxk+RSM8pgKWJIT7+TyvZoJWIiKi6xKZmY3NwDLaHxCIlK0/uMzMywBD/BhjfyQON69dROkQiIp1y9u8VGy0bcMUGEdE/MbFBRKSFTAwNML5TQ3z2xyWs+esqBrZ2hp4eZ1ZqIlHH/J2fz2FH+E153dfFGl+N8EPDeiw9RUREVVdYpMKRS0n4LvAGDl+6XVpuysnaVPbOGN7OFTbmxkqHSUSkc3ILCnE5MUNe5ooNIqJ/Y2KDiEhLjQpoiK8ORsu6rGdupsHX1UbpkKiSRMmpV7ZFICY1G6Lix/QnGuPlnk1YWoyIiKosOTMX20JisTkoRpY6LNG1iR1Gd2iInl71ZXlLIiJSxqWETBQUqWBjboQGNmZKh0NEpHaY2CAi0lJ1LYzxtI8Tdp6Kw5bgGCY2NEhBYRGWH7qCrw5eljNpxQ+ZL4a3Rjt3W6VDIyIiDW8GHnrjjlyd8fvZeOQXFi/PsDYzwlB/F4zq0BAedlwRSESkDqL+Xq3R3NGKq++JiMrAxAYRkRYb0d5NJjZ+OX0Lbz7dHJamRkqHRBWobz57W0Rpg3BRRuz9Qd6w4v87IiJ6TKlZefgp/Ca2h8biUmJm6X4x6WFMh4Z4ppUTTI0MFI2RiIgedOnvxEZTB/Y3IiIqCxMbRERarJ17XTSyt8CV21nYfSZeJjpIfWfR/hB2E+/9el721RANwkVCg43fiYjocYgVf39dvi2TGfvPJ5auzjA10seg1g1kuSlvNqMlIlJbUQl/JzYcLZUOhYhILTGxQUSkxcSS5f/4u+LjvRfx6+lbTGyoqaT0HMz7KRIHLybJ620b1sWSYa3hamuudGhERKSBK/9+CI3Fj2E3cSstp3S/TwNrPN/OFc/6OsvSU0REpBkrNpo5MLFBRFQWJjaIiLSc6LMhEhsnr6bgdkYu7C1NlA6J7lulIcqELfj5HNLu5cPYQB9zejfF5K6eMBDdwomIiCogJ78Qf5xPxPaQWBy/kgxV8eIMmcB4zq8Bnm/rihbOVkqHSUREFZSek4/4v5PTTZjYICIqExMbRERazq2eOXxdrHH6Zhr2nkuQtbRJecmZuXhr51n5/6RkJu3i533RlD9ciIioEo3AfwqPw29nbiE9p6D0ti6N7eTqjN4tHNg7g4hIA13+e7WGo5UpV9kREZWDiQ0iIh3wdCsnmdjYffoWExtq4PfIeLy566xs5mqor4eXezbBtB6NYGSgr3RoRESk5q4lZ2Fn+E3sjIhDbOq90v1O1qYY6u+CoW1dWcqQiEjDRSVkyr/sr0FEVD4mNoiIdEB/Hyf8d89FhFxPlSWPOOtHGSmZuVj463lZfkrwcrTEZ0N92byViIge6k5WHnafuYWfTsXhVMzd0v0Wxgbo6+2EwW0aoINnPZYxJCLSuv4adZQOhYhIbTGxQUSkA1zqmsPT3gJXb2ch6GoKerd0VDoknSsXsisiDu/9eh53svMhzjuJFRpipYaJIUuEEBHRv93LK8ShqCTsPBWHw1FJyC8sbpwhxpCuTexlMqN3C0eYGXMcISLS1sQGy9QSEZWPiQ0iIh3RqVE9mdg4cYWJjdp080423tx5Fkcu3S5dpfHxkFbwdbVROjQiIlIzuQWFOHopGb+evoU/LyQiO6+w9LaWzlayEfizrZ1R39JU0TiJiKhmMbFBRPRoTGwQEemIzo3s8P3JGJy4kqx0KDqhsEiFjYHX8em+KHliythAHy/3bIyp3dlLg4iI/ie/sAjHo0UyIx5/nE9Axn1NwBvYmGGAr7NMaDRjnXUiIp2QnJmL5Mw8ebkJS1EREZWLiQ0iIh0ham/r6YnZP5m4nZELe0sTpUPS6hlWr+84U1oHvZ17XSwa3AqN6/OHCRERFSe/T15NkX0z9p5NkGUKSzhYmeCZVs54ppUTWrvaQE8M3kREpHOrNdxszWFuzNN2RETl4SckEZGOqGthjBZOVjh3K12u2hjYugHUXWpqKmbOnIlff/0V+vr6GDJkCL788kvUqVN+giAhIQGvvvoq9u/fj4yMDDRr1gxvvvmmfGxNKygswtKD0fj6cLSshV7HxBCv9/PCqPZu0GdDVyIiAvD5/kvYHBQjZ+SWsKtjjP4+TjKh0bZhXY4ZREQ67HJipvzLMlRERA/HxAYRkY712RCJjcArKRqR2Bg1ahTi4+NlkiI/Px8TJkzAlClTsHnz5nIfM3bsWNy9exe//PIL7Ozs5H2ff/55hIaGws/Pr0bjNdDXQ3jMHZnU6NW8Pt4f5A0na7Ma/W8SEZFmSc0SJUZyYWNuhH7ejjKZEeBhC0OWKSQiIgBRpf01uNqbiOhh9FQqlQo6Jj09HdbW1khLS4OVlZXS4RAR1ZropAzcupuDtu51H2tZc21+fl64cAEtWrRASEgI2rZtK/ft3bsX/fv3x82bN+Hs7Fzm48RqjhUrVmDMmDGl++rVq4ePP/4YkyZNqvHnGZuajYjYu7KECMuHEJGu0ZTv2UePHsWnn36KsLAwmUDfuXMnBg0aVCvP83JiBm7evYcuje3Yc4mIdI6mjBNKPk+R/L4YnwFHa1OWsiUinZNeic9PfpMmItIhjetboltTe42o1RoYGAgbG5vSpIbQq1cvWZIqKCio3Md16tQJ27Ztk2WsioqKsHXrVuTk5KBHjx7lPiY3N1cOnvdvj8vV1lw2emVSg4hIfWVlZcHX1xfLly+v9f92EwdLPNGsPpMaRERUJrs6JujSxI5JDSKiR1D/M1tERKSTRK+M+vXrP7DP0NAQtra28rbybN++HcOGDZOrNMT9zc3N5Uzcxo0bl/uYRYsWYeHChdUaPxERqa9+/frJjYiIiIiINBOnCRERUa2aN2+eXM3wsO3ixYuP/e+//fbbssfGn3/+KftqzJkzR/bYiIyMLPcx8+fPl8scS7bY2NjH/u8TEZH2qc6VfUREREREVHVcsUFERLVq7ty5GD9+/EPv4+npCUdHRyQlJT2wv6CgQJaYEreV5cqVK1i2bBnOnj2Lli1byn2i1Mhff/0ly42sXLmyzMeZmJjIjYiIqCxc2UdEREREpF6Y2CAiolplb28vt0fp2LGjXHkhGrv6+/vLfQcPHpR9MwICAsp8THZ2tvwr+nDcz8DAQD6OiIjocYiVfWIFYAmxYsPV1VXRmIiIiIiIdBlLURERkVpq3rw5+vbti8mTJyM4OBjHjx/HjBkzMHz4cDg7O8v7xMXFwcvLS94uiMuil8bUqVPlPrGCY/Hixdi/fz8GDRqk8DMiIiJNJVb1WVlZPbAREREREZFymNggIiK1tWnTJpms6NmzJ/r3748uXbpg9erVpbfn5+cjKiqqdKWGkZER9uzZI1eEDBgwAK1atcLGjRuxYcMG+XgiIiIiIiIiItJ8LEVFRERqy9bWFps3by73dnd3d6hUqgf2NWnSBDt27KiF6IiISFNlZmYiOjq69Pq1a9cQEREhxx03NzdFYyMiIiIiIg1ZsSEauoqTU6amprJueklJkfL88MMPcgavuL+Pj4+cnUtERERERFQRoaGh8PPzk5sg+meIywsWLFA6NCIiIiIi0oTExrZt2+QPiXfeeQfh4eHw9fVFnz59kJSUVOb9T5w4gREjRmDixIk4deqUrJkutrNnz9Z67EREREREpHl69OghV/z9c1u/fr3SoRERERERkSYkNj7//HPZGHbChAlo0aIFVq5cCXNzc6xdu7bM+3/55Zeymeyrr74qG8u+//77aNOmDZYtW1brsRMRERERERERERERkQ4lNvLy8hAWFoZevXr9LyB9fXk9MDCwzMeI/fffXxArPMq7v5Cbm4v09PQHNiIiIiIiIiIiIiIi0jyKNg9PTk5GYWEhHBwcHtgvrl+8eLHMxyQkJJR5f7G/PIsWLcLChQv/tZ8JDiKiyin53Pxnw25tU/L8OE4QEVUOxwkiInoYjhNERFRd44SiiY3aMn/+fNnHo0RcXJwse+Xq6qpoXEREmiojIwPW1tbQ5ucncJwgIno8HCeIiOhhOE4QEVFVxwlFExt2dnYwMDBAYmLiA/vFdUdHxzIfI/ZX5v6CiYmJ3ErUqVMHsbGxsLS0hJ6eXqWzRmJgEo+3srKq1GN1FY9Z5fGYVQ6PV+0dM5ExF4OLs7MztJl4fhwnag+PWeXxmFUOj1flcZyouXGC+J6sKh6/quHxU/YYcpygiuD7tGp4/KqGx09zxglFExvGxsbw9/fHgQMHMGjQILmvqKhIXp8xY0aZj+nYsaO8ffbs2aX79u/fL/dXlOjj4eLiUqXYxf8Uvrgrh8es8njMKofHq3aOmTbPrCrBcUIZPGaVx2NWOTxelcdxoubGCeJ7sqp4/KqGx0+5Y8hxgiqK79Oq4fGrGh4/9R8nFC9FJUpEjRs3Dm3btkX79u3xxRdfICsrCxMmTJC3jx07Fg0aNJB9MoRZs2ahe/fuWLx4MZ5++mls3boVoaGhWL16tcLPhIiIiIiIiIiIiIiIapriiY1hw4bh9u3bWLBggWwA3rp1a+zdu7e0QXhMTIzMdJfo1KkTNm/ejLfeegtvvPEGmjRpgl27dsHb21vBZ0FERERERERERERERDqR2BBE2anySk8dPnz4X/uGDh0qNyWIXh3vvPPOAz076OF4zCqPx6xyeLwqj8es5vDYVh6PWeXxmFUOj1fl8ZhRTeLrq2p4/KqGx6/qeAyppvE1VjU8flXD46c5x1BPJTpyEBERERERERERERERaYD/1XgiIiIiIiIiIiIiIiJSc0xsEBERERERERERERGRxmBig4iIiIiIiIiIiIiINAYTG0REREREREREREREpDGY2KiADz/8EJ06dYK5uTlsbGwq9BjRk33BggVwcnKCmZkZevXqhcuXL0NXpKamYtSoUbCyspLHbOLEicjMzHzoY3r06AE9Pb0HthdffBHaavny5XB3d4epqSkCAgIQHBz80Pv/8MMP8PLykvf38fHBnj17oEsqc7zWr1//r9eSeJwuOXr0KAYMGABnZ2f5/Hft2vXIxxw+fBht2rSBiYkJGjduLI8jVQzHicrjOPFoHCcqh+NE5XCcoJrG9+Tj4/uzdo+fOHb/fP2JLSEhAbpo0aJFaNeuHSwtLVG/fn0MGjQIUVFRj3ycrn8PocrjOPH4OE5UDccJ7RknmNiogLy8PAwdOhTTpk2r8GM++eQTfPXVV1i5ciWCgoJgYWGBPn36ICcnB7pAnKw6d+4c9u/fj927d8sPjSlTpjzycZMnT0Z8fHzpJo6jNtq2bRvmzJmDd955B+Hh4fD19ZWvj6SkpDLvf+LECYwYMUKe+Dt16pT80BDb2bNnoQsqe7wEcbL0/tfSjRs3oEuysrLkcRJfFivi2rVrePrpp/HEE08gIiICs2fPxqRJk7Bv374aj1UbcJyoPI4TD8dxonI4TlQexwmqSXxPVg3fn7V7/EqIkzL3vwbFyRpddOTIEUyfPh0nT56U39Py8/PRu3dveVzLo+vfQ6jyOE5UDceJquE4oUXjhIoqbN26dSpra+tH3q+oqEjl6Oio+vTTT0v33b17V2ViYqLasmWLStudP39eJV5aISEhpft+//13lZ6eniouLq7cx3Xv3l01a9YslS5o3769avr06aXXCwsLVc7OzqpFixaVef/nn39e9fTTTz+wLyAgQDV16lSVLqjs8aroe1VXiPfjzp07H3qf1157TdWyZcsH9g0bNkzVp0+fGo5Ou3CcqBiOE4/GcaJyOE5UDccJqm58T1Yfvj9r/vgdOnRI3u/OnTu1FpcmSUpKksfnyJEj5d5H17+HUOVxnKg+HCeqhuOEZo8TXLFRA0QmVCxHEmVFSlhbW8uldYGBgdB24jmKsiJt27Yt3SeOhb6+vpyV/DCbNm2CnZ0dvL29MX/+fGRnZ0MbZ3aHhYU98PoQx0ZcL+/1Ifbff39BzGbQhdfT4xwvQZS0adiwIVxdXTFw4EA5M5zKp8uvMSVwnOA48TAcJyqH40Tt0OXXGFUO35O1j+/P6tG6dWtZIvSpp57C8ePHlQ5HbaSlpcm/tra25d6Hr0GqDI4TtY/v0erBcUL9xgkmNmpASY01BweHB/aL67pQf008x38uxzI0NJQv8Ic9/5EjR+L777/HoUOH5Mmq7777DqNHj4a2SU5ORmFhYaVeH2K/rr6eHud4NWvWDGvXrsXPP/8sX1NFRUWy/8HNmzdrKWrNU95rLD09Hffu3VMsLm3FcYLjxMNwnKgcjhO1g+MEVRTfk7WP78+qESepRGnQHTt2yE2cNBV9vUR5HF0n3ouiZE3nzp3lpJLy6PL3EKo8jhO1j+NE1XCcUN9xwhA6at68efj4448fep8LFy7IpiZUuWP2uO6vrS6ayIgPjp49e+LKlSto1KjRY/+7pHs6duwotxLiC0/z5s2xatUqvP/++4rGRpqD40TlcZwgTcFxgki98D1JShInTMV2/+tPfLdYsmSJnEShy0QNdVH//NixY0qHQjqO4wQpieOE+o4TOpvYmDt3LsaPH//Q+3h6ej7Wv+3o6Cj/JiYmypMuJcR1sWxJ24+ZeP7/bPhUUFCA1NTU0mNTEaIkixAdHa1VJ6xECRUDAwP5erifuF7e8RH7K3N/bfI4x+ufjIyM4OfnJ19LhEq9xkSDNjMzM+gijhOVx3GienCcqByOE7WD4wRVFN+TtY/vz+rXvn17nT+ZP2PGDOzevRtHjx6Fi4vLQ++ry99DqPI4TtQ+jhPVj+ME1GKc0NlSVPb29nKW7cM2Y2Pjx/q3PTw85P+YAwcOlO4Ty7tE3fD7M8zaeszEc7x7966smVji4MGDcnlSyUmoioiIiJB/7z/ppw3EMfL393/g9SGOjbhe3utD7L///sL+/fs1+vVUk8frn8Qy18jISK17LVUnXX6NlYfjROVxnKgeHCcqh+NE7dDl1xhVDt+TtY/vz+onvmPo6utP9NIVJ6t27twpv5+J762PwtcgVQbHidrH92j14zgxQz3GiSq1HtcRN27cUJ06dUq1cOFCVZ06deRlsWVkZJTep1mzZqqffvqp9PpHH32ksrGxUf3888+qM2fOqAYOHKjy8PBQ3bt3T6UL+vbtq/Lz81MFBQWpjh07pmrSpIlqxIgRpbffvHlTHjNxuxAdHa167733VKGhoapr167J4+bp6anq1q2bShtt3bpVZWJiolq/fr3q/PnzqilTpsjXS0JCgrx9zJgxqnnz5pXe//jx4ypDQ0PVZ599prpw4YLqnXfeURkZGakiIyNVuqCyx0u8V/ft26e6cuWKKiwsTDV8+HCVqamp6ty5cypdIT6fSj6rxEf9559/Li+LzzNBHC9x3EpcvXpVZW5urnr11Vfla2z58uUqAwMD1d69exV8FpqD40TlcZx4OI4TlcNxovI4TlBN4nuyavj+rN3jt2TJEtWuXbtUly9fluPmrFmzVPr6+qo///xTpYumTZumsra2Vh0+fFgVHx9fumVnZ5feh99DqKo4TlQNx4mq4TihPeMEExsVMG7cOPlC/+d26NCh0vuI6+vWrSu9XlRUpHr77bdVDg4O8sO6Z8+eqqioKJWuSElJkSeoxAk+Kysr1YQJEx44wSdOSt1/DGNiYuTJKVtbW3m8GjduLD9w09LSVNpq6dKlKjc3N5WxsbGqffv2qpMnT5be1r17d/m6u9/27dtVTZs2lfdv2bKl6rffflPpksocr9mzZ5feV7wH+/fvrwoPD1fpEvHeKutzq+Q4ib/iuP3zMa1bt5bHTZwwvv8zjR6O40TlcZx4NI4TlcNxonI4TlBN43vy8fH9WbvH7+OPP1Y1atRIniQV3zN69OihOnjwoEpXlXXs/vk9lt9DqDpwnHh8HCeqhuOE9owTen8HREREREREREREREREpPZ0tscGERERERERERERERFpHiY2iIiIiIiIiIiIiIhIYzCxQUREREREREREREREGoOJDSIiIiIiIiIiIiIi0hhMbBARERERERERERERkcZgYoOIiIiIiIiIiIiIiDQGExtERERERERERERERKQxmNggIiIiIiIiIiIiIiKNwcQGERERERERERERERFpDCY2iIiIiIiIiIiIiIhIYzCxQUREREREREREREREGoOJDSIiIiIiIiIiIiIigqb4f+bIn2uWiz6LAAAAAElFTkSuQmCC", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = np.arange(-1, 1, 0.01)\n", + "x2 = np.linspace(0.1, 2, 400) # For log and exp\n", + "\n", + "# based on the number of subplots what should be the dimensions in the following line?\n", + "fig, axs = plt.subplots(2, 4, figsize=(16, 8))\n", + "axs[0,0].plot(x, np.sin(x)); axs[0,0].set_title(\"sin(x)\")\n", + "axs[0,1].plot(x, np.cos(x)); axs[0,1].set_title(\"cos(x)\")\n", + "axs[0,2].plot(x, np.tan(x)); axs[0,2].set_title(\"tan(x)\")\n", + "axs[0,3].plot(x, np.arcsin(x)); axs[0,3].set_title(\"arcsin(x)\")\n", + "axs[1,0].plot(x, np.arccos(x)); axs[1,0].set_title(\"arccos(x)\")\n", + "axs[1,1].plot(x, np.arctan(x)); axs[1,1].set_title(\"arctan(x)\")\n", + "axs[1,2].plot(x2, np.exp(x2)); axs[1,2].set_title(\"exp(x)\")\n", + "axs[1,3].plot(x2, np.log(x2)); axs[1,3].set_title(\"log(x)\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "thpsEzFVikPh" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "WAidrU51fMqB" + }, + "source": [ + "## 4. Features of the Sigmoid Function" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 489 + }, + "id": "lehJV_vNfLXx", + "outputId": "9cfc6ec4-9dfc-4220-a955-4d6a11fac8f3" + }, + "outputs": [ + { + "data": { + "image/png": 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nlLlfkzqh0rFxpLRrFCEto2pJywa1pGVUuETXDi2zZUW1bKTvE4kMCyLYwJzhZsOGDfqcNU7OsTFjxozRJ+c7efKkxMfHu36upoGrIPPYY4/JG2+8Ic2aNZP333+faeAA4GFZuTZZffCUrNh7SlbsS5aDZYSZ1g1ryUXN60nXJpHSqXGkdIyJlDrh1u56gXcyNNxcccUVrvn1ZSnr7MPqMZs3b/ZwyQAAmbn58vPuJJm3/aQs3Z0sWXk218/U4Nm42Lryh9b1pVeLetIztp7UqxVsaHkBU465AQB4lt3ukJX7T8mXG47K4l2J+hwwTmp8zIAODeXydg2lX5sGekAv4I0INwAASUrLls/XHdWhRo2ncVKDfq/t1liu7dpYujaNZBwMTIFwAwA+bG9iury34qB8u+WE5NoKWmkiQwNlRM+mckuvWAINTIlwAwA+aPuxVJmxaI8s3ZPs2qbGzozu10KGdInRJ7gDzIpwAwA+ZH9Suvxj4V756bcEva5mYw/tGiN392+tZzoBVkC4AQAfcCYjV15dsFvmrj+qL86oepr+GNdUHr66nT7/DGAlhBsAsPjspy/WH5VXFuyWlMyCqyoP7hwtjw/pIO2jaxtdPMAjCDcAYFEHk8/JX7/aKpvjU/R6x5ja8twNXaVPq/pGFw3wKMINAFiwtebfqw/LS/N36/PUqAtJThjUXg8WDgzwN7p4gMcRbgDAQpLTc+SxuVv0ifiUy9pGySs3d5cmdcOMLhpQYwg3AGARG4+ckQc+3SSJaTkSGuQvk6/tJH/u26LMC1QCVka4AQCTU9fo+/fqI/L8Dzsl3+6QNg1ryew/95J2DBiGjyLcAICJ5dvs8uz3O+STNfF6fVj3xvLyTd31OBvAV/HbDwAmvmr3w59vlsW7kvR5ayZf00nu7t+KyyXA5xFuAMCETmfkyr2fbJatx1IlJNBf3rg1ToZ2bWx0sQCvQLgBAJNJyxW5Y8562ZeUIfXCg+T9MRfr60IBKEC4AQATSUrPkbd2BkhiVoZER4bIZ+P+IG0aRhhdLMCrEG4AwETnsPnzB+slMctPGtcJlc/H/YHrQgFl4FSVAGACadl58pcP18mh05lSL9ghn9zZm2ADlINwAwBeLjvPJuM+3iA7TqRJg1rB8kBnmzSvH250sQCvRbgBAC+/TtSjX2yRtYfO6HPXfDD6ImnElRSAChFuAMCL/WPRHpm/I0GCA/zlvdG9pUuTSKOLBHg9wg0AeKlvtxyXWUsP6OXpN3aTfm0aGF0kwBQINwDghbYeTZEnvt6ml+8d0Fpu6tXM6CIBpkG4AQAvk5KZq6/unZtvl4GdGsnEIR2NLhJgKoQbAPCyK3w//tVWOZ6SJS0bhMvrI+MkwJ9rRQFVQbgBAC/y3i8H9YUwgwP9ZdbtF0nt0CCjiwSYDuEGALzElqMp8vL8PXp56vDO0qVJHaOLBJgS4QYAvEBWrk0mfLlFbHaHDOveWG7r09zoIgGmRbgBAC/w8vzdcjC54GKYL4zoKn5+jLMBqotwAwAG+3X/Kflo1WG9/PJN3aVueLDRRQJMjXADAAbKyMmXiYXns7m9b3O5okMjo4sEmB7hBgAM9PqivXrad7N6YTL52k5GFwewBMINABjkt+OpMufXQ3r5+RFdpVZIoNFFAiyBcAMABlCzoib/b7vYHSLXdW8sV9IdBbgN4QYADPDJmiOy7Viq1A4NlCnXdTa6OIClEG4AoIadzciVfywsOFnfxKEdpVFkqNFFAiyFcAMANez1xXslLTtfOsbU5mR9gAcQbgCgBu1NTJdP18br5SnDO3NRTMADCDcAUINX/H7+h516MPGQLtFySZsoo4sEWBLhBgBqyLK9yfLLvlMSFODHOW0ADyLcAEANsNsd8mrhFb//cklLadGgltFFAiyLcAMANeDH7Sdl58k0iQgJlAeuaGt0cQBLI9wAgIfl2+wyY9FevTyuf2upV4sLYwKeRLgBAA/7euMxOXQqQ+rXCpa7+rcyujiA5RFuAMCDcvJt8saSfXr5gSva6G4pAJ5FuAEAD7fanEzNlpjIUPnzH1oYXRzAJxBuAMCDY21mLz+gl++5vLWEBgUYXSTAJxBuAMBDvtt6Qo6eyZIGtYJlFJdZAGoM4QYAPHRem38tK2i1ufOyVhIWTKsNUFMINwDgAQt2JMj+pHNSOzRQ7ujHWBugJhFuAMAD15B6a+l+19mII0ODjC4S4FMINwDgZur6UTtOpElYUICMvZTz2gA1jXADAG4259dD+n7kxbH6xH0AahbhBgDcSI2zWbYnWfz8CrqkANQ8wg0AuNGHha02V3eMlpZRXPkb8MlwM2vWLGnZsqWEhoZK3759Zd26dRXuP3PmTOnQoYOEhYVJbGysPPbYY5KdnV1j5QWA8qRk5sr/bTqml++6jLE2gE+Gm7lz58qECRNk6tSpsmnTJunRo4cMGTJEkpKSytz/s88+k6eeekrvv2vXLvnggw/0c0yePLnGyw4AJX2+7qhk59mlU+NI+UPr+kYXB/BZhoabGTNmyLhx42Ts2LHSuXNnmT17toSHh8ucOXPK3H/VqlVy6aWXym233aZbewYPHiyjRo06b2sPAHhans0uH6867Gq18VODbgAYwrDL0+bm5srGjRtl0qRJrm3+/v4ycOBAWb16dZmPueSSS+STTz7RYaZPnz5y8OBBmTdvntxxxx3l/js5OTn65pSWlqbv8/Ly9M2dnM/n7uf1Flavny/Ukfp5zo/bEyQhLVtfamFo54YeKwPH0NysXj9P1rEqz+fnUGebMsCJEyekadOmujWmX79+ru0TJ06U5cuXy9q1a8t83D//+U95/PHH9Umy8vPz5b777pO333673H/n2WeflWnTppXZxaVaiQDAHd7c4S/70/xlSFO7XNvcbnRxAMvJzMzUPTepqakSGRnpnS031bFs2TJ58cUX5V//+pcefLx//3555JFH5Pnnn5dnnnmmzMeoliE1rqdoy40aiKy6tM734lQnVS5atEgGDRokQUHWOyOp1evnC3Wkfp5xIDlD9q/+Vfz9RP426gppXCfUY/8Wx9DcrF4/T9bR2fNSGYaFm6ioKAkICJDExMRi29V6TExMmY9RAUZ1Qd199916vVu3bpKRkSH33HOP/O1vf9PdWiWFhIToW0nqBffUL5Ynn9sbWL1+vlBH6udeX206oe+v6thImkfVrpF/k2NoblavnyfqWJXnMmxAcXBwsPTq1UuWLFni2ma32/V60W6qkk1SJQOMCkiKQb1rAHxcdp7NNf37tr7NjS4OAKO7pVR30ZgxY6R37956gLA6h41qiVGzp5TRo0frcTnTp0/X68OHD9czrHr27OnqllKtOWq7M+QAQE366beTkpKZJ03rhsmA9o2MLg4Ao8PNyJEjJTk5WaZMmSIJCQkSFxcn8+fPl+joaP3z+Pj4Yi01Tz/9tJ5eqe6PHz8uDRs21MHmhRdeMLAWAHzZp2vi9f2tF8dKgBp0A8Bwhg8oHj9+vL6VN4C4qMDAQH0CP3UDAKPtTUyXDUfO6lDzp4tjjS4OAG+5/AIAmNXn6wpabQZ1ipboSM/NkAJQNYQbAKiG3Hy7fLulYJbUSFptAK9CuAGAali6J0nOZORKw9oh0r9dlNHFAVAE4QYAquH/NhZM/76xZ1MJDOCjFPAmvCMBoIpOn8uRn3cn6eWbejUzujgASiDcAEAVfbf1hOTbHdK9WR1pH10zZyQGUHmEGwCooq8Lu6RuuohWG8AbEW4AoAp2nUyTHSfSJCjAT67v0cTo4gAoA+EGAKoxkHhgp2ipVyvY6OIAKAPhBgAqyWZ36PE2yo10SQFei3ADAJW07tAZSUrPkcjQQBnQvqHRxQFQDsINAFSSs9Xmmq6NJTiQj0/AW/HuBIBKXm7hp99O6uXr4xhIDHgzwg0AVMKv+09JSmaeREWEyB9aNzC6OAAqQLgBgCp0SV3XvbEE+PsZXRwAFSDcAMB5ZOXaZOGOBL08nHPbAF6PcAMAlbgCeEauTZrWDZOLmtc1ujgAzoNwAwDn8d2WE65WGz8/uqQAb0e4AYAKpGfnyc97Cq4APrxHY6OLA6ASCDcAUIHFuxL1NPA2DWtJ58aRRhcHQCUQbgCgAj9tLxhIPKxbY7qkAJMg3ABAOTJy8mX53mS9PKRrjNHFAVBJhBsAKIcKNjn5dmleP5wuKcBECDcAUI6ffivokrqmawxdUoCJEG4AoAzZeTb5eVeiXqZLCjAXwg0AlHMtKXXivpjIUIlrxon7ADMh3ABABV1SQ7vGiD/XkgJMhXADACXk2ez6/DbKkC50SQFmQ7gBgBLWHjwjKZl50qBWsPRpVd/o4gCoIsINAJQwf8dJfT+oc7QE0CUFmA7hBgCKsNsdsmBHomu8DQDzIdwAQBHbjqdKcnqORIQEyiVtoowuDoBqINwAQBGLdxa02gxo31CCA/mIBMyIdy4AFOGcJTWwcyOjiwKgmgg3AFDo2NlM2Z2QLmoM8RXtCTeAWRFuAKDQkl1J+r53y/pSr1aw0cUBUE2EGwAo2SXViVYbwMwINwAgIunZebLm4Gm9PLBTtNHFAXABCDcAICIr9p6SPJtDWkfVktYNI4wuDoALQLgBAD3exjlLilYbwOwINwB8Xr7NLj/vKRhMfHVHxtsAZke4AeDzNsWn6Atl1g0Pkl4t6hldHAAXiHADwOc5Z0ld1aGRBAbwsQiYHe9iAD7PGW6uZpYUYAmEGwA+7cjpDDmYnCGB/n5yeXsulAlYAeEGgE9btidZ3/duWU9qhwYZXRwAbkC4AeDTlhbOkrqyA7OkAKsg3ADwWdl5Nll9oOCsxFcQbgDLINwA8Fnqcgs5+XZpXCdU2kdzVmLAKgg3AMTXx9tc0aGh+Pn5GV0cAG5CuAHgs5bvLQg3A9rTJQVYCeEGgE86fCpDDp0qmAJ+adsGRhcHgBsRbgD4pGWFs6SYAg5YD+EGgE9aVtglxRRwwHoINwB8DlPAAWsj3ADwOUwBB6zN8HAza9YsadmypYSGhkrfvn1l3bp1Fe6fkpIiDz74oDRu3FhCQkKkffv2Mm/evBorLwDzYwo4YG2BRv7jc+fOlQkTJsjs2bN1sJk5c6YMGTJE9uzZI40alW4qzs3NlUGDBumfff3119K0aVM5cuSI1K1b15DyAzD3YGKmgAPWZGi4mTFjhowbN07Gjh2r11XI+fHHH2XOnDny1FNPldpfbT9z5oysWrVKgoIKZjeoVh8AqMoU8MOnM5kCDliYYeFGtcJs3LhRJk2a5Nrm7+8vAwcOlNWrV5f5mO+++0769eunu6W+/fZbadiwodx2223y5JNPSkBAQJmPycnJ0TentLQ0fZ+Xl6dv7uR8Pnc/r7ewev18oY7UT2TJrgR937tFXQkNMN9rwTE0N6vXz5N1rMrz+TkcDocY4MSJE7pbSbXCqMDiNHHiRFm+fLmsXbu21GM6duwohw8flttvv10eeOAB2b9/v75/+OGHZerUqWX+O88++6xMmzat1PbPPvtMwsPD3VwrAN5u9i5/2ZXiL9c3t8nVTQ35+ANQDZmZmbpBIzU1VSIjI723W6qq7Ha7Hm/z7rvv6paaXr16yfHjx+XVV18tN9yoliE1rqdoy01sbKwMHjz4vC9OdVLlokWL9LggZ7eZlVi9fr5QR1+vX06eTSauX6o+TeTe6y+T9tG1xWx8/RiandXr58k6OnteKsOwcBMVFaUDSmJiYrHtaj0mJqbMx6gZUuqFKtoF1alTJ0lISNDdXMHBwaUeo2ZUqVtJ6nk89Yvlyef2Blavny/U0Vfrt/Zwqp4CHh0ZIp2b1jP1TClfPYZWYfX6eaKOVXkuw6aCqyCiWl6WLFlSrGVGrRftpirq0ksv1V1Raj+nvXv36tBTVrABgKJ+2VcwBfyytkwBB6zM0PPcqO6i9957Tz7++GPZtWuX3H///ZKRkeGaPTV69OhiA47Vz9VsqUceeUSHGjWz6sUXX9QDjAHgfH7Zd0rfX94+yuiiAPAgQ8fcjBw5UpKTk2XKlCm6aykuLk7mz58v0dHR+ufx8fF6BpWTGiuzYMECeeyxx6R79+56QLIKOmq2FABUJDk9R3aeLOizv7Qt4QawMsMHFI8fP17fyrJs2bJS21SX1Zo1a2qgZACsZNWBglabzo0jJSqi9Dg8ANZh+OUXAKAmrNhbEG760yUFWB7hBoDlqdN5OQcT92/b0OjiAPAwwg0Ay9uXdE6S0nMkJNBferesZ3RxAHgY4QaA5a3YW9Bq07d1AwkNKvtSLQCsg3ADwPJW7i8cb8MsKcAnEG4AWFpOvk3WHDytlxlMDPgGwg0AS9t45Kxk59mlYe0Q6WDCa0kBqDrCDQCfOCux6pLikguAbyDcALA01xRwuqQAn0G4AWBZp8/lyI4TXHIB8DWEGwCW9euB0+JwiHSMqS2NaocaXRwANYRwA8CyVjq7pNrRagP4EsINAAtfcqFwMHE7LrkA+BLCDQBLOpCcISdTsyU40F/6tKpvdHEA1CDCDQBLz5Lq07I+l1wAfAzhBoAl/d4lxXgbwNcEVvUBdrtdli9fLr/88oscOXJEMjMzpWHDhtKzZ08ZOHCgxMbGeqakAFBJufl21yUXLiPcAD6n0i03WVlZ8ve//12Hl2uvvVZ++uknSUlJkYCAANm/f79MnTpVWrVqpX+2Zs0az5YaACqw+WiKZObaJCoiWDrFRBpdHADe2nLTvn176devn7z33nsyaNAgCQoKKrWPasn57LPP5NZbb5W//e1vMm7cOHeXFwAqdX4b5bK2UeLvzyUXAF9T6XCzcOFC6dSpU4X7tGjRQiZNmiSPP/64xMfHu6N8AFBlv+53dkkxBRzwRZXuljpfsClKteq0adOmumUCgGrLyBPZXnjJBQYTA76pWrOlnn32WT2wuKTU1FQZNWqUO8oFANWyN81PX3KhfXSEREdyyQXAF1Ur3HzwwQdy2WWXycGDB13bli1bJt26dZMDBw64s3wAUCV7UgrG2HBWYsB3VSvcbNu2TZo1ayZxcXF6gPETTzwhgwcPljvuuENWrVrl/lICQCUvubAn1Rlu6JICfFWVz3Oj1KtXT7788kuZPHmy3HvvvRIYGKinhl999dXuLyEAVNLh05lyJsdPggL8pG+rBkYXB4DZzlD85ptvyhtvvKHH2LRu3Voefvhh2bp1q3tLBwDVmALeu0U9CQvmkguAr6pWuBk6dKhMmzZNPv74Y/n0009l8+bNcvnll8sf/vAHeeWVV9xfSgCohJWFU8AvbUOrDeDLqhVubDabHndz88036/WwsDB5++235euvv5bXX3/d3WUEgPPKs9llzaEzeplwA/i2ao25WbRoUZnbhw0bJtu3b7/QMgFAlW09miIZOTapFeiQzo1rG10cAGZouVGzECojKooZCgBq3orCq4C3r+PgkguAj6t0uOnSpYt88cUXkpubW+F++/btk/vvv19eeukld5QPACpl5b5kfd+hTuX+EANgXYFVmR315JNPygMPPKAvnNm7d29p0qSJhIaGytmzZ2Xnzp2ycuVK2bFjh4wfP14HHACoCWnZebL1WKpe7lCXcAP4ukqHG3UOmw0bNugAM3fuXD1LSl0FPCsrS3dF9ezZU0aPHi233367Pg8OANSU1QdOi83ukNZR4VI/pOC6UgB8V5UHFDsvuzBhwgRp1aqVZ0oFAFXwS2GXVMEsKcIN4OuqNVtq7Nix8tZbb+nxN2pKeEBAgHTu3FnuvPNOiYyMdH8pAaACKwsHE6twk3PokNHFAWDG89yomVNqXM1rr70mKSkpkpSUpJfbtGmjT+gHADXl6JlMfdmFAH8/6dOqvtHFAWDWlhvl7rvvln/961+61UbJy8uTcePGySOPPCIrVqxwZxkBoFwr9xe02lzUvK7UDq32RxoAC6n2taXUmBtnsFGCgoJk4sSJetAxANT0eJvL2jY0uigAzBxu6tatK8eOHSu1/ejRo4y5AVBj1AypXwuvJ3VZO04gCuACwo06z81dd92lryV1/PhxiY+Pl88//1x3Vamp4ABQE347niqpWXm6O6pHszpGFweAl6hWB7Uaa/Pwww/LyJEjXdtCQkL0IOMXXnjBneUDgPOOt7mkTQMJDPCXPLvN6CIB8ALVCjcNGjTQJ/FTVwJX57xR423UTCl1tmIAqCkr9haOt2nHeBsAv7ugqQVqfE1cXNyFPAUAVEtGTr5sij+rl/u3ZbwNADfMlgIAI607dEbybA5pVi9MWjQIN7o4ALwI4QaAKf1SeFbi/u0aip+fn9HFAeBFCDcATH1+m/5MAQdQAuEGgOkkpGbLvqRzohps1EwpACiKcAPAtFPAuzetI3XDg40uDgAvQ7gBYDornZdcoEsKQBkINwBMxW53uFpu1GBiACiJcAPAVHYnpMupc7kSHhwgFzWvZ3RxAHghwg0AU1m5v6BLqm+r+hIcyEcYgNL4ZABgyvPbcMkFAOUh3AAwjaxcm6w9dEYvX85gYgDlINwAMI01h05Lbr5dmtYNk7aNIowuDgAvRbgBYBrL9xSMt7m8PZdcAODl4WbWrFnSsmVLCQ0Nlb59+8q6desq9bgvvvhCf8CNGDHC42UEYLwVhee3GdCe8TYAvDjczJ07VyZMmCBTp06VTZs2SY8ePWTIkCGSlJRU4eMOHz4sjz/+uPTv37/GygrAOEfPZMrB5AwJ9PeTS9pyyQUAXhxuZsyYIePGjZOxY8dK586dZfbs2RIeHi5z5swp9zE2m01uv/12mTZtmrRu3bpGywvAGMv3FrTaqHPbRIYGGV0cAF7M0HCTm5srGzdulIEDB/5eIH9/vb569epyH/fcc89Jo0aN5K677qqhkgLwlnAzoANdUgAqFigGOnXqlG6FiY6OLrZdre/evbvMx6xcuVI++OAD2bJlS6X+jZycHH1zSktL0/d5eXn65k7O53P383oLq9fPF+po1vqpGVKrCi+5cGnreuWW36z1qwqr15H6mV+eh+pYleczNNxUVXp6utxxxx3y3nvvSVRU5c5xMX36dN19VdLChQt195cnLFq0SKzM6vXzhTqarX77Uv0kIzdAIoIccmjzSjmyxVr1qw6r15H6md8iN9cxMzPTHOFGBZSAgABJTEwstl2tx8TElNr/wIEDeiDx8OHDXdvsdru+DwwMlD179kibNm2KPWbSpEl6wHLRlpvY2FgZPHiwREZGuj1VqoM5aNAgCQqy3pgAq9fPF+po1vq9tnCfiBySgZ2byHXDulmuflVh9TpSP/PL81AdnT0vXh9ugoODpVevXrJkyRLXdG4VVtT6+PHjS+3fsWNH2b59e7FtTz/9tG7ReeONN3RoKSkkJETfSlIvuKd+sTz53N7A6vXzhTqarX6/7D+t76/sFF2pcputftVh9TpSP/MLcnMdq/JchndLqVaVMWPGSO/evaVPnz4yc+ZMycjI0LOnlNGjR0vTpk1195I6D07Xrl2LPb5u3br6vuR2ANaQlJYtO0+miTpn32VtueQCABOEm5EjR0pycrJMmTJFEhISJC4uTubPn+8aZBwfH69nUAHwTSsKL5TZrWkdaRBRuhUWALwu3CiqC6qsbihl2bJlFT72o48+8lCpAHjVFHDOSgygkmgSAeC1bHaH/MIlFwBUEeEGgNfafjxVUjLzpHZooMTFFoyvA4DzIdwA8PqrgPdvFyWBAXxcAagcPi0AeK1lewsuoHt5O7qkAFQe4QaAVzp9Lke2HE3Ry1d2bGR0cQCYCOEGgFdatidZHA6Rrk0jJToy1OjiADARwg0Ar/Tz7oIuqas60GoDoGoINwC8Tp7NLisKz29zVaeCE3oCQGURbgB4nfWHz0h6Tr5ERQRL96Z1jC4OAJMh3ADwOj/vKuiSuqJDI/H39zO6OABMhnADwOv8vKdwvA2zpABUA+EGgFc5dCpDDiZnSKC/nz55HwBUFeEGgFfOkurbur7UDg0yujgATIhwA8CrLC0MN1cyBRxANRFuAHiNczn5svbQab18NVPAAVQT4QaA11i5L1nybA5pFVVL3wCgOgg3ALzGksIp4MySAnAhCDcAvILN7vj9kguEGwAXgHADwCtsij8rpzNyJTI0UPq0qm90cQCYGOEGgFdYuCPBNZA4KICPJgDVxycIAMM5HA5ZuDNRLw/uzCwpABeGcAPAcHsTz8mR05kSHOgvl7dvaHRxAJgc4QaA13RJ9W8bJbVCAo0uDgCTI9wAMJyrS6oLXVIALhzhBoChTqRkyfbjqeLnx1mJAbgH4QaAoRYVttr0blFPoiJCjC4OAAsg3AAw1MKdBeNtBneOMbooACyCcAPAMKmZebLm4Bm9PIgp4ADchHADwDBLdifqyy50iK4tLblQJgA3IdwAMMy87Sf1/ZCudEkBcB/CDQBDpGXnyYq9p/Tydd0bG10cABZCuAFgiMU7EyXXZpe2jSKkfXRto4sDwEIINwAM8eO2gi6pYd1otQHgXoQbADUuNStPftlX0CU1jC4pAG5GuAFgWJdUO7qkAHgA4QaAYbOkrqVLCoAHEG4A1HiX1Ip9yXqZLikAnkC4AVDjXVJ5NgddUgA8hnADoEb9WNglRasNAE8h3ACoMSmZufKLs0uK8TYAPIRwA6BGW21Ul1SnxpHSji4pAB5CuAFQY77dfELfj4hrYnRRAFgY4QZAjTh2NlPWHT4jfn4i1xNuAHgQ4QZAjfh2S0GrTb/WDaRxnTCjiwPAwgg3ADzO4XDI/zYf18sjejY1ujgALI5wA8DjdpxIk/1J5yQ40F+Gdo0xujgALI5wA8Djvt1S0GozqFO0RIYGGV0cABZHuAHgUTa7wzXehi4pADWBcAPAo1buPyVJ6TlSNzxIBrRvaHRxAPgAwg0Aj/py/VF9PyKuqR5zAwCexicNAI85k5ErC3cm6OU/9Y41ujgAfAThBoDHfLP5uL7cQremdaRzk0ijiwPARxBuAHjs3DZfbijokvpT72ZGFweADyHcAPCIbcdSZXdCuoQE+sv1ccySAlBzCDcAPGJuYavNNV1jpE4Y57YBUHMINwDcLivXJt8XntuGgcQAfDLczJo1S1q2bCmhoaHSt29fWbduXbn7vvfee9K/f3+pV6+evg0cOLDC/QHUvB+2nZD0nHyJrR8mf2jdwOjiAPAxhoebuXPnyoQJE2Tq1KmyadMm6dGjhwwZMkSSkpLK3H/ZsmUyatQoWbp0qaxevVpiY2Nl8ODBcvx4wendARjvP2uO6PtRfZqLv7+f0cUB4GMMDzczZsyQcePGydixY6Vz584ye/ZsCQ8Plzlz5pS5/6effioPPPCAxMXFSceOHeX9998Xu90uS5YsqfGyAyhty9EUPZg4OMBfRtIlBcDXwk1ubq5s3LhRdy25CuTvr9dVq0xlZGZmSl5entSvX9+DJQVQWf9efVjfX9e9sTSICDG6OAB8UKCR//ipU6fEZrNJdHR0se1qfffu3ZV6jieffFKaNGlSLCAVlZOTo29OaWlp+l4FInVzJ+fzuft5vYXV6+cLdfR0/dQZiX/YdlIvj7q4aY2/jlY/fr5QR+pnfnkeqmNVns/QcHOhXnrpJfniiy/0OBw1GLks06dPl2nTppXavnDhQt395QmLFi0SK7N6/Xyhjp6q3+LjfpKbHyCxtRxyfNsqObFdDGH14+cLdaR+5rfIzXVUPTWmCDdRUVESEBAgiYmJxbar9ZiYmAof+9prr+lws3jxYunevXu5+02aNEkPWC7acuMchBwZGen2VKkO5qBBgyQoyHrn9bB6/Xyhjp6sn83ukFde/0VEsuWBwV1l2EU1f+I+qx8/X6gj9TO/PA/V0dnz4vXhJjg4WHr16qUHA48YMUJvcw4OHj9+fLmPe+WVV+SFF16QBQsWSO/evSv8N0JCQvStJPWCe+oXy5PP7Q2sXj9fqKMn6rd8Z6IcT8mWuuFB8seLYiUoKECMYvXj5wt1pH7mF+TmOlbluQzvllKtKmPGjNEhpU+fPjJz5kzJyMjQs6eU0aNHS9OmTXX3kvLyyy/LlClT5LPPPtPnxklIKLjicEREhL4BMMYHKw/pezVDKtTAYAMAhoebkSNHSnJysg4sKqioKd7z5893DTKOj4/XM6ic3n77bT3L6uabby72POo8Oc8++2yNlx+AyPZjqbL64GkJ9PeTMZe0NLo4AHyc4eFGUV1Q5XVDqcHCRR0+XDDNFID3eO+Xg/p+eI8m0qRumNHFAeDjDD+JHwBzO3Y2U37cXjD9++7+rYwuDgAQbgBcmA9/PaxnSl3WNkq6NKljdHEAgHADoPpSs/Lki3Xxennc5a2NLg4AaIQbANX20a+HJSPXJh2ia8vl7aKMLg4AaIQbANWSnp0nH6wsGEg8/qq24ufH1b8BeAfCDYBq+ffqI5KWnS+tG9aSa7s1Nro4AOBCuAFQZRk5+fJ+4fTvh65qKwH+tNoA8B6EGwBV9unaI3I2M09aNAiX4d2bGF0cACiGcAOgyq02764oaLV58Mq2EhjAxwgA78KnEoAqX0Pq1LlcadkgXP7Ys+av/A0A50O4AVBpZzJyXa02fx3cQYJotQHghfhkAlBps5bul3M5+dKlSaQMY4YUAC9FuAFQKcdTsuQ/q4/o5SeHdhR/ZkgB8FKEGwCV8o8FeyTXZpd+rRtIf85GDMCLEW4AnNem+LPy383H9fJT13TkbMQAvBrhBkCF7HaHTPtuh16+pVcz6RFb1+giAUCFCDcAKqRabLYeS5WIkEB5YmgHo4sDAOdFuAFQLjUz6uX5u12XWWhUO9ToIgHAeRFuAJTrtQV7JDk9R5+w7y+XtjS6OABQKYQbAGXaHH9WPl59WC8/P6KrhAQGGF0kAKgUwg2AUvJsdpn03+3icIjc2LOp9G/X0OgiAUClEW4AlKIusbA7IV3q1wqWp6/rbHRxAKBKCDcAitmbmC5vLNmnl5+5rpMOOABgJoQbAC65+XZ59Ist+v7KDg1lRBxX/QZgPoQbAC6vL94rO0+mSb3wIHn55u6ciRiAKRFuAGjrD5+R2csP6OXpN3bjnDYATItwA0DOZOTKI59v1rOjbu7VTIZ2bWx0kQCg2gg3gI9T1456dO4WOZGaLa2iasnU4cyOAmBuhBvAx721dL+s2JssoUH+8vafL5LaoUFGFwkALgjhBvBhy/Yk6UHEygsjuknHmEijiwQAF4xwA/jw+Wwe+qxgnM2oPrFyU69mRhcJANyCcAP4oNPncuTOj9ZLek6+9GlVX6Zd39XoIgGA2xBuAB+TaxN54POtcuxslrRoEC6z/9xLggP5KABgHYFGFwBAzV4Q88O9/rIzJUUiQwPlgzEXc3kFAJbDn2uAj7DZHTLx/36TnSn+embU+2MulraNIowuFgC4HeEG8JFz2Tz9zW/yw/YE8fdzyFu39tBjbQDAiuiWAnygxebJ/9smX288JupSUXe0tcuA9g2NLhYAeAzhBrD4GJsJX26V77eekAB/P3nlxq4SeHyz0cUCAI+iWwqwqHM5+TLu3xt0sAkK8JO3RvWU63twzSgA1kfLDWBBJ1Oz5M6PNsiuk2l68PCs2y6SqztFS15entFFAwCPI9wAFvPb8VS56+P1kpiWI1ERwXpWVFxsXaOLBQA1hnADWITD4ZAvNxyVZ77dIbn5dmnXKELm/OViia0fbnTRAKBGEW4AC8jKtemp3v+36Zhev7JDQ5l5a0+pE8YVvgH4HsINYHJbjqbI419tlf1J58TfT+TxIR3kvsvbiL9aAQAfRLgBTCon3yZvLN4ns5cfELtDpGHtEPnnrT2lX5sGRhcNAAxFuAFMaNX+UzLlux26tUa5Ia6JTLu+i9QN5zpRAEC4AUzkeEqWvPjjLvlx+0m93qBWsLzwx64ytCvnrwEAJ8INYAKnz+XIOysOyserDktOvl2PrfnzH1rIhEHtaa0BgBIIN4AXS83Mk/dXHpQ5Kw9JRq5Nb+vTsr48e30X6dwk0ujiAYBXItwAXujQqQz58NdD8tWGY5KVVxBqujaNlL8O7iBXtG8ofuoKmACAMhFuAC+Rb7PLin3J8tnao7Jkd6I4HAXbOzWOlEcHtpPBnaMJNQBQCYQbwGD7k9J1C81/Nx+X5PQc1/arOjaSuy5rJZe0aUCoAYAqINwABlwmYefJNFnwW4Is2JEoexLTXT+rXytYRsQ1ldv6Npe2jSIMLScAmBXhBqgBKZm5svrAafn1wClZvjdZjp7Jcv0s0N9PrujQSG7p3Uyu7NBIggP9DS0rAJgd4QbwgITUbNkcf1ZfGmH1wdOy/XiqawyNEhrkL5e3ayhDu8bI1R2jpU4414ACAHch3AAX2MWkTqy3JyFddy9tP5Yqm+NTJCEtu9S+6irdl7aNKrw1kPBg3n4A4Al8ugKVPN9M/JlMfTtyJkOOnMqUvUnpsi/xnJzLyS+1vzrJXoeYSImLrSu9W9STy9pFSXRkqCFlBwBf4xXhZtasWfLqq69KQkKC9OjRQ958803p06dPuft/9dVX8swzz8jhw4elXbt28vLLL8u1115bo2WGNdjtDjmbmSuJaTmSmJ4tJ89myspjfrLu+12SfC5XTqZm60CTmpVX7nMEBfhJm4YR0iGmtp623TO2rnRrVoeWGQAwiOGfvnPnzpUJEybI7NmzpW/fvjJz5kwZMmSI7NmzRxo1alRq/1WrVsmoUaNk+vTpct1118lnn30mI0aMkE2bNknXrl0NqQOMOy9MZp5NMnNskpGbL1m5NsnIyZdMdZ+br7erVhUVTNRNhZiUzDxJUetquXB70bEwBQJEjh4t9e9FRYRIiwbh0rx+wa1ddIR0iK4tLaNqSVAAg4ABwFsYHm5mzJgh48aNk7Fjx+p1FXJ+/PFHmTNnjjz11FOl9n/jjTdk6NCh8sQTT+j1559/XhYtWiRvvfWWfqxRcvJtcjIlS05nixw9mylBgUH6S9Oh/iv88nQUjtH4fdn56IJ9nKvOx7mWXY///bnK3M+13VHm85f8d0vup9fK2M/ucIjN4ZCc3DzZdsZP/Hckip+/v9jsjoKf2QtaQNQ++WqbWnb9rGB7wTYRm92u153Lufl2ybXZ9fWS1HKe7fdt+j6/8Ge2Ij/Lt+sAo7a7S1REsDSsHSqNIoIlOyVJenVuK43rhumupOaFgYaWGAAwB0M/rXNzc2Xjxo0yadIk1zZ/f38ZOHCgrF69uszHqO2qpaco1dLzzTfflLl/Tk6OvjmlpaXp+7y8PH1zl63xKfKn99bpl/S5zSvFugJE9mwVbxLg7ye1ggMk3HULdC3XCg6UOuGBUicsSOqGBbnu64YXLhfeO1te1O+ECsuDBrSQoKCiM5gcbv19MYqzDlaoiy/WzxfqSP3ML89DdazK8xkabk6dOiU2m02io6OLbVfru3fvLvMxalxOWfur7WVR3VfTpk0rtX3hwoUSHh4u7nIkXSTIP0AvFz2XrF72+31bWT8rut318/M8ptQ2dV9kY6Wfr8S/X9Zj9M1PJKBwXQ2WVTc/cRRZLvx54bqKCkWX9T7qOYpu9xMJVDd/h75X+aJgvci9c9nPUWw9OEAkxF8kJMD5757nlz638JYqoqJuYuGtPCrgWBn1Mz+r15H6md8iN9cxMzOz0vtavp1dtQoVbelRLTexsbEyePBgiYx071WV73b+1T9oUIm/+q0hz+L184U6Uj/zs3odqZ/55Xmojs6eF68PN1FRURIQECCJicX/hlbrMTExZT5Gba/K/iEhIfpWknrBPfWL5cnn9gZWr58v1JH6mZ/V60j9zC/IzXWsynMZOsUjODhYevXqJUuWLHFts9vter1fv35lPkZtL7q/ohJiefsDAADfYni3lOoyGjNmjPTu3Vuf20ZNBc/IyHDNnho9erQ0bdpUj51RHnnkERkwYID84x//kGHDhskXX3whGzZskHfffdfgmgAAAG9geLgZOXKkJCcny5QpU/Sg4Li4OJk/f75r0HB8fLyeQeV0ySWX6HPbPP300zJ58mR9Ej81U4pz3AAAAK8IN8r48eP1rSzLli0rte2WW27RNwAAgJI4rSoAALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUrzhDcU1yOBxVvnR6VS7znpmZqZ/bild7tXr9fKGO1M/8rF5H6md+eR6qo/N72/k9XhGfCzfp6en6PjY21uiiAACAanyP16lTp8J9/ByViUAWYrfb5cSJE1K7dm3x8/Nz63OrVKlC09GjRyUyMlKsxur184U6Uj/zs3odqZ/5pXmojiquqGDTpEmTYhfULovPtdyoF6RZs2Ye/TfUwbTqL60v1M8X6kj9zM/qdaR+5hfpgTqer8XGiQHFAADAUgg3AADAUgg3bhQSEiJTp07V91Zk9fr5Qh2pn/lZvY7Uz/xCvKCOPjegGAAAWBstNwAAwFIINwAAwFIINwAAwFIINwAAwFIIN1XwwgsvyCWXXCLh4eFSt27dMveJj4+XYcOG6X0aNWokTzzxhOTn51f4vGfOnJHbb79dn+xIPe9dd90l586dE6MtW7ZMn8W5rNv69evLfdwVV1xRav/77rtPvFHLli1LlfWll16q8DHZ2dny4IMPSoMGDSQiIkJuuukmSUxMFG90+PBh/fvUqlUrCQsLkzZt2uhZDLm5uRU+zpuP4axZs/RxCw0Nlb59+8q6desq3P+rr76Sjh076v27desm8+bNE281ffp0ufjii/UZ1NXnx4gRI2TPnj0VPuajjz4qdaxUXb3Rs88+W6qs6thY5fiV95mibuozw4zHb8WKFTJ8+HB9VmBVtm+++abYz9WcpClTpkjjxo31Z8zAgQNl3759bn8fVxXhpgrUF8Itt9wi999/f5k/t9lsOtio/VatWiUff/yx/sVVB74iKtjs2LFDFi1aJD/88IP+ZbrnnnvEaCrInTx5stjt7rvv1l+UvXv3rvCx48aNK/a4V155RbzVc889V6ysDz30UIX7P/bYY/L999/rD93ly5fry3nceOON4o12796tLznyzjvv6N+x119/XWbPni2TJ08+72O98RjOnTtXJkyYoAPapk2bpEePHjJkyBBJSkoqc3/1Phw1apQOeJs3b9ZhQd1+++038Ubq90l9Ca5Zs0Z/HqgLEA4ePFgyMjIqfJz6w6josTpy5Ih4qy5duhQr68qVK8vd12zHT1F/+BWtnzqOivruMOPxy8jI0O8zFUbKoj4X/vnPf+rPlbVr10qtWrX0e1L9Eeiu93G1qKngqJoPP/zQUadOnVLb582b5/D393ckJCS4tr399tuOyMhIR05OTpnPtXPnTjUV37F+/XrXtp9++snh5+fnOH78uMOb5ObmOho2bOh47rnnKtxvwIABjkceecRhBi1atHC8/vrrld4/JSXFERQU5Pjqq69c23bt2qWP4erVqx1m8MorrzhatWplymPYp08fx4MPPuhat9lsjiZNmjimT59e5v5/+tOfHMOGDSu2rW/fvo57773XYQZJSUn6d2v58uVV/jzyRlOnTnX06NGj0vub/fgp6n3Upk0bh91uN/3xExHH//73P9e6qlNMTIzj1VdfLfYZGRIS4vj888/d9j6uDlpu3Gj16tW62TQ6Otq1TaVRdREx9VdzeY9RXVFFW0JUs566BpZKwd7ku+++k9OnT8vYsWPPu++nn34qUVFR0rVrV5k0aZJkZmaKt1LdUKqLqWfPnvLqq69W2I24ceNG/de0OkZOqsm8efPm+liaQWpqqtSvX990x1C1iKrXv+hrr94nar28115tL7q/8z1ppmOlnO94qW7sFi1a6IsV3nDDDeV+3ngD1WWhujhat26tW61VV355zH781O/sJ598InfeeWeFF2o20/Er6tChQ5KQkFDsGKlrP6lupvKOUXXex9XhcxfO9CR1kIsGG8W5rn5W3mNU33pRgYGB+sOsvMcY5YMPPtAfLOe78Ohtt92m36jqA2zbtm3y5JNP6nED//3vf8XbPPzww3LRRRfp11s1gasvcdUsPGPGjDL3V8ckODi41JgrdZy97XiVZf/+/fLmm2/Ka6+9ZrpjeOrUKd31W9Z7THW/VeU9aYZjpboTH330Ubn00kt1wCxPhw4dZM6cOdK9e3cdhtSxVV3K6gvS0xcJrir1pae66lWZ1fts2rRp0r9/f93NpMYZWen4KWp8SkpKivzlL3+xxPEryXkcqnKMqvM+rg6fDzdPPfWUvPzyyxXus2vXrvMOerN6nY8dOyYLFiyQL7/88rzPX3S8kGrJUgPNrr76ajlw4IAe0OpN9VP9vk7qw0UFl3vvvVcP7PTm06NX5xgeP35chg4dqvv+1Xgabz6GED32Rn3pVzQmRenXr5++Oakvxk6dOulxVs8//3wNlLTyrrnmmmLvNxV2VIhWnytqXI3VqD8IVZ3VHwlWOH5m4vPh5q9//WuFqVpRzaeVERMTU2rEt3MWjfpZeY8pOYhKdYuoGVTlPcaIOn/44Ye66+b666+v8r+nPsCcrQY18cV4IcdUlVW9/mqWkfqLqiR1TFSzqvprrGjrjTrOnjpe7qijGvR85ZVX6g/Od9991+uPYVlUF1lAQECpmWkVvfZqe1X29xbjx493TS6o6l/vQUFBuotVHStvp95D7du3L7esZj1+ihoUvHjx4iq3dprp+MUUHgd1TNQfQE5qPS4uzm3v42px2+gdH3K+AcWJiYmube+8844eUJydnV3hgOINGza4ti1YsMCrBhSrQWNqAOpf//rXaj1+5cqVuo5bt251eLtPPvlEH8MzZ85UOKD466+/dm3bvXu3Vw8oPnbsmKNdu3aOW2+91ZGfn2/qY6gGIo4fP77YQMSmTZtWOKD4uuuuK7atX79+XjsgVb3X1EBLNbhy79691XoOdYw7dOjgeOyxxxzeLj093VGvXj3HG2+8YYnjV3LwtBpsm5eXZ5njJ+UMKH7ttddc21JTUys1oLgq7+NqldVtz+QDjhw54ti8ebNj2rRpjoiICL2sbuoN6vyl7Nq1q2Pw4MGOLVu2OObPn69nF02aNMn1HGvXrtW/uOoLx2no0KGOnj176p+pLxH1RTRq1CiHt1i8eLH+pVazgkpS9VD1UWVX9u/fr2dTqbB26NAhx7fffuto3bq14/LLL3d4m1WrVumZUupYHThwQAcbdbxGjx5dbv2U++67z9G8eXPHzz//rOupPmzVzRup8rdt29Zx9dVX6+WTJ0+6bmY8hl988YX+4Pzoo4/0Hwb33HOPo27duq4ZinfccYfjqaeecu3/66+/OgIDA/WHr/r9VV84Kpxu377d4Y3uv/9+/YfTsmXLih2rzMxM1z4l66g+j9QfROp3eOPGjTrEhoaGOnbs2OHwNuoPJFU39Xuljs3AgQMdUVFRelaYFY5f0S9r9Rnx5JNPlvqZ2Y5fenq667tOfQ/MmDFDL6vvQ+Wll17S70H1ObFt2zbHDTfcoP8YzsrKcj3HVVdd5XjzzTcr/T52B8JNFYwZM0Yf3JK3pUuXuvY5fPiw45prrnGEhYXpN616MxdN7mpf9Rj15nY6ffq0DjMqMKlWnrFjx7oCkzdQZbvkkkvK/JmqR9HXID4+Xn8J1q9fX//yqi/WJ554Qqd5b6M+SNS0UvVloj5MOnXq5HjxxReLtbKVrJ+i3rQPPPCA/oszPDzc8cc//rFYWPC2VsayfmeLNtqa7RiqD0n1xREcHKz/AlyzZk2xKezqfVrUl19+6Wjfvr3ev0uXLo4ff/zR4a3KO1bqOJZXx0cffdT1ekRHRzuuvfZax6ZNmxzeaOTIkY7GjRvrsqq/1NW6CtNWOX5OKqyo47Znz55SPzPb8Vta+J1V8uasg2q9eeaZZ3TZ1eeF+kOqZL3VKTdUMK3s+9gd/NT/3NfJBQAAYCzOcwMAACyFcAMAACyFcAMAACyFcAMAACyFcAMAACyFcAMAACyFcAMAACyFcAMAACyFcAMAACyFcAMAACyFcAPA9JKTkyUmJkZefPFF17ZVq1ZJcHCwLFmyxNCyAah5XFsKgCXMmzdPRowYoUNNhw4dJC4uTm644QaZMWOG0UUDUMMINwAs48EHH5TFixdL7969Zfv27bJ+/XoJCQkxulgAahjhBoBlZGVlSdeuXeXo0aOyceNG6datm9FFAmAAxtwAsIwDBw7IiRMnxG63y+HDh40uDgCD0HIDwBJyc3OlT58+eqyNGnMzc+ZM3TXVqFEjo4sGoIYRbgBYwhNPPCFff/21bN26VSIiImTAgAFSp04d+eGHH4wuGoAaRrcUANNbtmyZbqn5z3/+I5GRkeLv76+Xf/nlF3n77beNLh6AGkbLDQAAsBRabgAAgKUQbgAAgKUQbgAAgKUQbgAAgKUQbgAAgKUQbgAAgKUQbgAAgKUQbgAAgKUQbgAAgKUQbgAAgKUQbgAAgKUQbgAAgFjJ/wOXsxc6iTlKMQAAAABJRU5ErkJggg==", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Range: (np.float64(4.5397868702434395e-05), np.float64(0.9999546021312976)) | At x=0: 0.5\n" + ] + } + ], + "source": [ + "\n", + "def sigmoid(x):\n", + " return 1 / (1 + np.exp(-x))\n", + "\n", + "x = np.linspace(-10, 10, 1000)\n", + "y = sigmoid(x)\n", + "\n", + "plt.plot(x, y)\n", + "plt.title(\"Sigmoid Function\")\n", + "plt.xlabel(\"x\")\n", + "plt.ylabel(\"σ(x)\")\n", + "plt.grid(True)\n", + "plt.show()\n", + "\n", + "print(\"Range:\", (y.min(), y.max()), \"| At x=0:\", sigmoid(0))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DUONuiAxilL0" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "1FjRt_31fXsx" + }, + "source": [ + "## 5. Derivatives of Famous Functions" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "vyyGBuHRfZ4n", + "outputId": "7a89fce7-f973-46bc-dca3-c452f1a34561" + }, + "outputs": [ + { + "data": { + "image/png": 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MyYYDEcYYY4zJhgMRxhhjjMlGowua0RoGt2/fFoV3arJCKmOMMcbqH1UGodWpPTw8HriooUYHIhSEqBdMYowxxph2iYmJEdVztTYQUS+xTS+kKst8M8YYY0x+6enpoiNBfRzX2kBEPRxDQQgHIowxxph2qUpaBSerMsYYY0w2HIgwxhhjTDYciDDGGGNMNhqdI1LVKUKFhYVQKpVyN4XVM4VCASMjI57azRhjWkyrA5H8/HzExsYiOztb7qYwmVhYWMDd3R0mJiZyN4Uxxpg+BSJU7CwiIkL8KqaCKXQg4l/G+oN6wigQTUhIEJ+DgICABxbNYYwxpnm0NhChgxAFIzRPmX4VM/1jbm4OY2NjREVFic+DmZmZ3E1ijDFWTVr/E5J/Bes3/vszxph2429xxhhjjMmGAxHGGGOMyYYDEcYYY4xpXyAyd+5ctG/fXixo4+LiguHDh+Pq1avl9snNzcXLL78MR0dHWFlZYdSoUbhz505ttFsnZWZmYsCAAejVqxeaNm2KVatWyd0kxhhjTDMDkf3794sg49ixY/jvv/9QUFCAfv36ISsrq2Sf119/HVu2bMFff/0l9r99+zZGjhxZW23XOTT7559//sHevXuxfPlyLFmyRO4mMcYY01Hn4s/h/UPv48DNA9o5fXfHjh3lrtOvd+oZOX36NB555BGkpaXhp59+wm+//YbevXuLfVauXCl+6VPw0qlTJ9RFbYmcgvqvsGpurKhyDROqe9G8eXO8+uqreO+998S2I0eOoGfPnti+fTv69OmD+Ph4zJw5EwsXLqzjljPGGNNXuyN3YXP4ZnH5Ec9HtL+OCAUexMHBQZxTQEK9JH379i3Zp0mTJvD29sbRo0crDUTy8vLESS09Pb1abaAgJGjmv6hvIR/3h4VJ1d5KZ2dnrFixQgxlUQ9SYGAgxo8fj6lTp4oghIK0999/H4sWLUKzZs3qvO2MMcb0k/e8tXjORImgd9vI2o5aCUSosNi0adPQtWvXkoNnXFycqHZqZ2dXbl9XV1dx273yTj766CPouoEDB2Ly5MkYO3Ys2rVrB0tLS/HaqSeke/fuIjh5/vnnxXtXseeJMcYYe1jRoSfR7HImggwAN5NG0PpAhHJFLl26hEOHDj3U47z77ruYPn16uR4RqpxanSES6p2ob/S81fXVV1+JoI3yZ6j3yNTUVAxtUS8SY4wxVpfOnd8JRysgy9UawU1aQqsDERpSoATLAwcOwNPTs2S7m5ubKLudmpparleEZs3QbZWhgzGdaoryNKo6RCK38PBwkbxLvUmRkZEib4QxxhirD9scYnB4qgJvBz4DrZ01Q4mhFIRs2LABe/bsgZ+fX7nb27ZtK9YB2b17d8k2mt4bHR2Nzp07Q59RgDZu3Dg88cQT+OSTT8QwDA3LMMYYY3UtuyAbJ+NO0q93dGla/6MIFRk9zHAMzYjZtGmTqCWizvuwtbUVi5HR+XPPPSeGWiiB1cbGBq+88ooIQupixow2oWRUSu6lhFSqr7Jt2zZMmjRJ9Cwxxhhjden4tT0oKMxDAxtP+Nv6Q2t7RKjGBR1Madqpu7t7yWnt2rUl+8yfPx+DBw8WhcxoSi8Nyfz999/QZ/v27cOCBQvwyy+/iOCMFm2jywcPHuS6IYwxxupc9tffYfkiJcbd9Kly6QmN7BGhoZkHoWXZFy9eLE5MQoFbxYRUX1/fkunPjDHGWF0pLMiH87loWOcATRprRpoErzXDGGOM6YnLBzbAOluFLDMDtOg9BpqAAxHGGGNMT9zavkGcx7XwgImpBTQBByKMMcaYnrA4cUWc2/SSll7RBByIMMYYY3og4vJRuMbno9AQaDFkIjQFByKMMcaYHri6ZY04v9XIFnZODaAptKMMKWOMMcYeym7XRNh3NkCrzr2gSTgQYYwxxnRcam4q/lNchbKnAhNGvgxNwkMzjDHGmI47eOsglColAuwD4Gldui6cJuBAhDHGGNNxcb+uRpvrRejt0g2ahgMRDam2Om3atGqXiqfSvLS6MWOMMXYvudkZaLvuMmasK0KPXF9oGg5ENFivXr3w448/yvLcmZmZGDBggGhD06ZNsWrVKlnawRhj7OGc3/YzzPOBFBtDBHUfCk3DgYiGSk5OxuHDhzFkyBBZnt/CwkKsBrx3714sX76cF+RjjDEtlbhjqzhPat8ICoXmzVHRzUAkP+vep4Lcauyb8+B9qykrKwsTJkyAlZWVWK3466+/rnS/rVu3ok2bNnB1dRXXt23bhsaNG8Pc3Fz0UkRGRpbbf9KkSWjRogXy8vKkpubno3Xr1uK5KpOQkCBWQ54zZ07JtiNHjsDExAS7d+8WqwIbGRkhPj4eM2fOxMKFC6v9WhljjMmrMD8PLqel44XboOHQRJoXGtWGOR73vi2gHzD2r9LrXzYCCrIr39enG/CsFEkKC5oD2Unl95ldvVVz33rrLezfvx+bNm2Ci4sL3nvvPZw5cwatWrUqt9/mzZsxbNgwcTkmJgYjR47Eyy+/jClTpuDUqVN44403yu2/aNEitGzZEjNmzMD8+fPx/vvvi/yR7777rtJ2ODs7Y8WKFRg+fDj69euHwMBAjB8/HlOnTkWfPn3EPseOHROPQ4/drFmzar1Oxhhj8ruw+w9Y5aiQYW6AVn2fhCbSzUBEQ1HexU8//YQ1a9aUHOxXr14NT8/yU6moV2PHjh2YPXu2uE7DIg0bNizpPaGg4eLFi5g3b17JfaiHhR63R48esLa2xoIFC8Swio2NzT3bM3DgQEyePBljx45Fu3btYGlpiblz54rbqCeke/fu4rmef/552NnZiTYxxhjTHrHbNsKfvtPbeMPExByaSDcDkfdu3/s2A0X562+F3WffCiNX0y4+VLPCw8PFkEnHjh1Ltjk4OIiDfVl79uwRvSXBwcHi+pUrV8rdh3Tu3Pmux6dtb775Jj755BO888476NbtwdO0vvrqK9Hb8ddff+H06dMwNTUV2+n5CwoKavxaGWOMyatIVYT8GxHisuOAQdBUuhmImFjKv+9DoGGZoUOrn9lcVFQkElwVCgXCwu4TYFUIjm7fvi3uS3knzZs3r0GLGWOMaZrLiZcxc4wSDVMs8fsgzVnkTj+SVTUUDa8YGxvj+PHjJdtSUlJw7dq1kusqlQpbtmwpyQ8hNH32xIkT5R6L8jcq+vLLLxEaGipyUGgYZeXKlfdtD/XOjBs3Dk888YToRaEhGBqSYYwxpv12Re8S5wGte8Hc4t7D9HLjQKQeUR7Hc889JxJWafjl0qVLeOaZZ8QMFTUaHsnOzi43rPLiiy/i+vXr4n5Xr17Fb7/9dlddj7Nnz4rZLVR3pGvXrvjmm2/w2muv4caNG/dsDyWipqWliWRUGsqhWTk0+4Yxxph2Kyoqwr6wneJyHx8pJ1FTcSBSz6jXgpJAqT5I3759RcDRtm3bkttpNg0lkdLUWTVvb2+sX78eGzduFDNjli5dWm7abW5urujZoKBGXXeEZtfQNF+aCaNUKiutzEoJrb/88otIaKVgiC4fPHiQa4YwxpiWu35uD2Z/GolXt6jQ3aM7NJmBisYCNFR6ejpsbW3Fr/aKsz/o4BsREQE/Pz+YmZlBV1AtkA8++ABjxoyRuylaQVc/B4wx9jC2ffgs/P46hshmTnhs3UFo0vG7Iu4R0SCUszFq1Cg89thjcjeFMcaYFjM/eFacm/XpCU2nm7NmtBRVNZ01a5bczWCMMabFIs4fhFtcHgoNgVajp0DTcY8IY4wxpkNC160Q5zFNHGDv7AVNx4EIY4wxpkPMD0jDMqb9e0MbcCDCGGOM6YiwM3vheicPBQqgzcgXoA04R4QxxhjTEXvTTyOqpyGCDBughXP5dcw0FQcijDHGmA5QqVT4J/UgbnQ2RMdur0Bb8NAMY4wxpgOup17HjbQbMDE0QS+vXtAW3CPCGGOM6YCzv36LrtFFsOrZCVYmVtAW3COiw6i8e9lS8A8yY8YMvPKK9nTnMcYYK11bxm3tfry2uQhDYt2hTTgQ0VHnz5/Htm3b8Oqrr1b5Pm+++SZWr15934XyGGOMaZ6rJ/+FS0IB8hVA21HaMVtGjQMRHfXtt9/i8ccfFyv+VpWTkxP69+/Pi94xxpiWCV//szi/3cwVVnbO0CaGupYxnF2QXe+n6q4bSF1oc+fOFQu1mZubixV1161bJx6HVuSlYED9mMnJyfD09MTMmTNLVs01MDDA1q1bxQJ5tNBbp06dcOnSpZLHp9V26fHUK/GS0NBQWFhY4LfffivZ9ueff4rnDwkJKdlG9/njjz8e6u/AGGOs/hQplbA/cFFctho0ANpGp5JVcwpz0PG3jvX+vMefPg4LY4sq709ByJo1a7B06VIEBATgwIEDGDduHJydncXQSPPmzbFo0SK89tprePHFF9GgQYOSQETtrbfewsKFC+Hm5ob33ntPBBDXrl2DsbExLly4IFY8bNeuXcn+TZo0wVdffYWXXnoJ3bp1g6GhoXjsefPmISgoqGS/Dh064ObNm4iMjISvr28tvUOMMcbqyqV96+GQqkSOifYUMdPZQEQb5OXliQTSXbt2oXPnzmKbv78/Dh06hGXLlokeCzqfMGEC4uLiRJ7H2bNnYWRU/k9Fi+M9+uij4jIFL9RrsmHDBowZMwZRUVFQKBRwcXEpdx8KQujxKOihBfbat29/V3Kqh4eHOKfH4ECEMcY0X8z6X+EP4FZbL7Sxsoe20alAxNzIXPROyPG8VRUWFobs7OySIEItPz8frVu3Fpcpt4OCis8//1zka1CvSUXqIIY4ODggMDAQV65cEddzcnJgamoqhnAqWrFiBRo3bix6RC5fvnzXPjRUQ6iNjDHGNFtBUQHSb0WKyy7DR0Mb6VQgQgfV6gyRyCEzM1OcU44HDbmURcGDOgg4ffq06NW4fv16tZ+Dkk7pMSi4oZ6PirNpsrKyRCASGxsLd/fy07woJ4XQMBFjjDHNdvT2UcwZWYSAHEesfWwCtJFOBSLagPIxKOCIjo5Gjx49Kt3njTfeEIHC9u3bMXDgQAwaNAi9e5dfRfHYsWPw9vYWl1NSUkR+SNOmTcX1Vq1aiXNKQlVfVgcZzzzzDN5//30RhIwdOxZnzpwp6QUhlPRKeSbBwcF18voZY4zVnq03torzDm0Gw9jEDNqIA5F6Zm1tLep1vP7662L2DCWOUmLp4cOHYWNjI3ozaPjk6NGjaNOmjUhKnThxokhAtbcvHfv7+OOP4ejoCFdXVxFY0P2GDx9e0ptB96W8k7KBCCWnenl54YMPPhC5KjQURG1ZvHhxyT4HDx5E9+7dywUnjDHGNE9mRjJOXt0NmACD/QdDa6k0WFpaGs1hFecV5eTkqEJCQsS5tikqKlItWLBAFRgYqDI2NlY5Ozur+vfvr9q3b5/K1dVVNWfOnJJ98/PzVW3btlWNGTNGXN+7d694T7Zs2aIKDg5WmZiYqDp06KA6f/58uef4/vvvVZ06dSq5vnr1apWlpaXq2rVrJduOHz8unn/btm0l26hNv//+u0pbaPPngDHGHsae5bNVF5o2US2f2EEcV7Tl+F2RAf0DDZWeng5bW1vRY0C9BWXl5uYiIiJC1OKgWhr6guqI9OrVSwzH2NnZ3XM/SlilBNa1a9eWS2y9HxoKomEh6n2pOEtHU+nr54AxxraP7ArfkGREjuqAxz5bDW05fut0QTNWioZWfv75ZyQmJlb5PpTEunLlSq0JQhhjTF/F37oOryvS5IKmT2pf7ZCy+Iijw3r27Fmt/UeP1s6pX4wxpm/O/bEYXirgtpcF+jTvAm3GgYgWBhcaPJrGGGOsHih2HBTnRY92g7bjoRnGGGNMi4Sd3QuPmGwUGgKtxlV9hXVNxYEIY4wxpkWurlkqzqObO8PZoyG0HQ/NMMYYY1pCWaTEsubxaFxgiGGPPg1dwD0ijDHGmJY4GnsUEQaJON7FAZ0GPgddwIEIY4wxpiU2hm0U54P8B8FYYQxdwEMzjDHGmBZISYhB58+2QxkEDBs4BLqCe0Q0ZErutGnTql1hlVYbTk1NhTYYP3485syZU+X9Z8yYgVdeeaVO28QYY9rk1JqFCIouwtDzxmjiFARdwYGIBqNS7j/++CO03fnz57Ft2za8+mrVp5nRYnyrV6/GjRs36rRtjDGmNbbvFWcF/buJH6LQ90DkwIEDGDJkCDw8PMQbsnGjNG6lRsvN0/aypwEDBtRGm/VCcnKyWJGX3mNt9+233+Lxxx+HlZVVle9Dqwn3798fS5YsqdO2McaYNrh+di88o7OhNABaj69eD7rOBiK0LknLli3LLSFfEQUesbGxJafff/8d9aEoO/vep7y8qu+bm/vAfWvyvk2YMEEclN3d3fH1119Xut/WrVvRpk0buLq6iuvUo9C4cWOxhgz1lERGRpbbf9KkSWjRogXyil9ffn4+WrduLZ7rnu9TURHmzp0rFoyjx6W/57p168RtVL21b9++IhhQV3Kl4MjT0xMzZ84sNzxEbaXnpkXnOnXqhEuXLpU8h1KpFI9ZNqAKDQ2FhYUFfvvtt5Jtf/75p2hDSEhIyTa6zx9//FHNd5gxxnTPtV+k2iExwU5wbtAIOqU2lvulh9mwYUO5bRMnTlQNGzaszpYRvt/y7yGBTe55ipoypdy+V1q1vue+kePGl9v3aqfOd+1TXf/73/9U3t7eql27dqkuXLigGjx4sMra2lr12muvldtv9OjRqjlz5ojL0dHRKlNTU9X06dNVoaGhqjVr1qhcXV3Fe5OSkiL2ycjIUPn7+6umTZsmrr/55psqX1/f+y7B/Omnn6qaNGmi2rFjhyo8PFy1cuVK8Tz79u0Tt9+8eVNlb2+vWrBggbj++OOPqzp06KAqKCgQ1/fu3Sva0LRpU9XOnTtLXg89b35+vtjnzJkzYp+4uLhyz7148WKVra2tKioqShUTEyOeZ+HCheX/NleuiPtGRETc8zXc73PAGGO6IC8nS3W8TZA45hz6/RuVNrjf8buiOp01Q7+YXVxcYG9vj969e+PTTz+Fo6PjPfenX/PqX/TqZYR1SWZmJn766SesWbMGffr0EdsoD4J6Gcqi92DHjh2YPXu2uE7DEw0bNizpPQkMDMTFixcxb968kvtQDws9bo8ePWBtbY0FCxZg796991x+mZ6Dkkd37dqFzp07i23+/v44dOgQli1bJh6nQYMG4jL1qsTFxYlembNnz961Ou+sWbPw6KOPlns9GzZswJgxYxAVFQWFQiE+B2W99NJL4vHGjRsHExMTtG/f/q7kVBr2I/QYvr6+NXzXGWNMu51c9z0csoqQam2I9iNfhK6ps0CEhmVGjhwpuv3Dw8Px3nvv4bHHHsPRo0fFgakyNEzw0UcfPfRzB545fe8bKzx348OH7r2vYfmRq0a7dz1Uu+h9oCGTjh07lmxzcHAQgUVZe/bsEQfu4OBgcf3KlSvl7kPUwUPFbZTk+cknn+Cdd95Bt273XgwpLCwM2dnZJQGEmnpIR41yOyio+Pzzz0VAFBAQUOnzVnw91GaSk5MDU1PTShOrVqxYIYabDA0Ncfny5bv2oaEaQu1kjDF9tTvrNBr5G8C6RUuYmEjfi7qkzgKRJ598suRy8+bNRQ4B/aqnXhJ1b0BF7777LqZPn16uR8TLy6vaz21oYSH7vg9j8+bNGDp0aLXvRzkflOBKgR4FGg/qnSGU30E9H2VR4KBGQcDp06fFY16/fr3abaKkU3oMCnCo56PibBrKmaFAhHKIKGemLMpJIc7OztV+XsYY0wW3M29jndllqJ5Q4J/hc6GL6m36LnX700HpfgdIOgDSUELZky6hQMzY2BjHjx8v2ZaSkoJr166VXKeUmy1btmDYsGEl25o2bYoTJ06Ue6xjx47d9fhffvmlSATdv3+/GNpZuXLlPdsSFBQk3u/o6Gg0atSo3Kls8PfGG2+IQGH79u1YtGiR6K2pqGxb1K+H2kxatWolzssmoaqDDJpZ9f7774vzsWPHit6Tsijpld4vdc8QY4zpmw1hG6CCCh3dOsLH1gc6qa6SVSuihEQDAwPVpk2b6jxZVZO9+OKLKh8fH9Xu3btVFy9eVA0dOlRlZWVVkqx68uRJkbipTggllNBpYmIiElApWfXXX39Vubm5lUtWpaRQ2mfz5s3i+rJly0QSLCWh3sv777+vcnR0VK1atUoVFhamOn36tGrRokXiOvnnn3/EY9J28u6776o8PT1VycnJ5ZJVg4ODRfKt+vVQMm5eXl7J87Rp00b17bfflntuSnzt2LGjeJ2ZmZmqgIAA1UsvvVRun1mzZql69+593/dTWz8HjDH2IPl5Oao5r7RX9VgUrNp+Y7tKm1QnWbXGgQjN0jh79qw40ZN988034jIdNOk2OmgePXpUzHiggxQdjOhgk5ubWysvRFsPQPTejBs3TmVhYSFmvnzxxReqHj16lAQiH3zwgWrs2LF33W/Lli2qRo0aiVkt3bt3V61YsaIkEKH3ICgoSDWlwowgCgq6dOmiKiwsrLQtRUVFYkZMYGCgytjYWOXs7Kzq37+/av/+/ar4+HjRPvXMHUIzYdq2basaM2ZMuUCE2kbBCAUtNKvm/Pnz5Z7n+++/V3Xq1Knk+urVq1WWlpaqa9eulWw7fvy4aMO2bdtKtlG7fv/99/u+n9r6OWCMsQc5/OciMVPmWJumqtzcLJU2qZdARH0QqniiabvZ2dmqfv36iQMbHVyoB2Dy5Ml3TeF8mBeiqweg5s2bq9auXavSBurPgLpX5l7o8+Dl5aU6cuRIlR+bAhKaFly2Z6gyuvo5YIyxraO7iUDkn9dGqbRNvUzfpfVR1IWuKvPvv//W9KH1FiV0jho1Sswu0iU0++Xnn39GYmJile9DSayU41JxqjBjjOmD25GX4H1J+s4MfGYqdBl/y2sQmlVCNTl0EQWu1TF69Og6awtjjGm6cyu+hp8KuOlnhUdbVe/7U9twIMJQV71ijDHGqq8wPw/2O06Ky0ajBkPX8eq7jDHGmAY5vm4x7NKVyLAwQKenX4eu40CEMcYY0yDnL+9GrjEQ36cFzC10q55WZXhohjHGGNMQkWmRWNI4GqunGmHdIGmlc13HPSKMMcaYhlh7da04b9+oB7w8g6APOBBhjDHGNEBmWhIu7F8vLj/ZpHS9Nl3HQzOMMcaYBjj2y5f44KcMnG9miS4TukBfcI+ITNNep02bVuuP+8gjj+C3336r1grJX3/9da23gzHGWPVXTzf4WyoEat+2AwwN9OfwrD+vVMdt3rwZd+7cEcFFVX3wwQf47LPPkJaWVqdtY4wxdn8X9v4Fj9u5yDcCOkyaAX3CgYiOWLRoEZ599lkYGlb9T9qsWTM0bNgQa9asqdO2McYYu79bK38Q5zc7+cLe1Rv6RKcCEaryWZCnrPfTw1QXTUlJwYQJE2Bvbw8LCwuxzsz169fL7bN8+XJ4eXmJ20eMGIFvvvkGdnZ2JbcnJCRgz549GDJkSMm2ffv2iZLxBw8eLNn2xRdfwMXFRfScqNF9/vjjjxq3nzHG2MO5HXYBPqdvi8v+k1+FvtGpZNXC/CL88Nr+en/eKQt7wNhUUaP7PvPMMyLwoKEVGxsbvPPOOxg4cCBCQkJgbGyMw4cP48UXX8S8efMwdOhQ7Nq1Cx9++GG5xzh06JAIUpo2bXpXHsr48eNx/vx53LhxQ9zvr7/+gqura8l+HTp0EMMzeXl5MDU1fYh3gTHGWE2cWzpHrCsTGWCDxzrq1qKneheIaBt1AELBRpcuUob0r7/+Kno/Nm7ciMcffxzffvut6CV58803xe2NGzfGkSNH8M8//5Q8TlRUlAguKg7LfPrpp/jvv/8wZcoUXLp0CRMnThTBTFkeHh5i1d+4uDj4+PjUy+tmjDEmycrPguHpS+Ky9binoI90KhAxMjEUvRNyPG9NXLlyRSxz37Fjx5Jtjo6OCAwMFLeRq1eviuGYsqgXo2wgkpOTAzMzs7sen4ZmKLBp0aKFCDLmz59/1z7m5ubiPDs7u0avgTHGWM1tubEFcyYAj952wbxRL0Mf6VQgYmBgUOMhEm3m5OQkck0qQ70nJDk5WZwsLS3L3U7biLOzcz20lDHGmFqRqghrrqyBytAAbUZOgZGRMfSRTiWrahvK6SgsLMTx48dLtiUlJYlekKAgqbQv9Y6cPCktB61W8Xrr1q3F0ErFYCQ8PByvv/66SHalXhcamqG56mXRkI2np6cIZhhjjNWfw+c242ZKJKyNrTGiUfmeb33CgYiMAgICMGzYMEyePFkknFJS6bhx49CgQQOxnbzyyivYtm2bmClDOSXLli3D9u3bRe9P2UCEAgnKNVFTKpXisfr37y+m9a5cuRIXLly4q4AZzarp169fPb5qxhhjJHPW51j8vRJT8jvBwtgC+ooDEZlRgNC2bVsMHjwYnTt3FlOBKfCgGTOka9euWLp0qQhEWrZsiR07dohejrI5IQqFQgQblA+iRjNhKImVAhfi7u6OH374QRQxo4CH5ObmiqRYCoQYY4zVnysn/4XvtTTYZQGPdh0PfWagepgiGHUsPT0dtra2ovInTW0tiw6iERER8PPzqzRRU5dR4BAaGlquRggNzQQHB+PMmTNVnv2yZMkSbNiwATt37oS20ufPAWNMe215fgAaHYpCRBs3DPxtL3TN/Y7fFXGPiBb46quvRC9GWFiYmM67evVqke9RlpubG3766SdER0dX+XGp14UejzHGWP25E3UFPkejxGXP5/4HfadTs2Z01YkTJ0RV1IyMDPj7+4ty7s8///xd+w0fPrxaj1vZYzDGGKtbp7/7GH5KIMbXEv36jIG+40BEC/z5559yN4ExxlgtSE+Kg+vOc+KyxbPj5G6ORuChGcYYY6ye7P3ra1jkAXdcTNB59FS5m6MRuEeEMcYYqwd5yjwscDgFq2cVmNp4IhQKPgQTfhcYY4yxerA5fDMScxKh8HdD76GvyN0cjcFDM4wxxlgdKyzIx7ojy8XlicETYazQz3LuleFAhDHGGKtjR37/Bu9/GYNJ+40wKmCU3M3RKByIMMYYY3WI1vjK//lPGCuBJu4t9Lqce2U4ENEAPXv2xLRp06p1n3379on1ZlJTU+v1eavqkUcewW+//Vbl/Z988sm71sFhjDFdcPKfn9DgZg7yjICOUz+SuzkahwMRDdarVy/8+OOP0DabN2/GnTt3RHBRVbQGDq2PQ+WAGWNMV9AqKulLpdyQW72awsHdV+4maRwORDRUcnKyWE13yJAh0DZU+ZUW4TM0rPrHq1mzZmjYsCHWrFlTp21jjLH6dHbHL/C8kYECBdB6OveG6E0gUpCbe89TYX5+lfctyM974L7VlZWVhQkTJsDKykqsiHuv4YitW7eiTZs2cHV1FddpRd7GjRvD3Nxc9JRERkaW23/SpElo0aIF8vKkNufn56N169biuaoqJSVF7G9vbw8LCws89thjuH79erl9li9fDi8vL3H7iBEjxKrAdnZ2JbcnJCRgz5495QIoGkYyMTEpt0gflax3cXERPSdqdJ8//vijyu1ljDFNl7B4sTiP6hEAD7/mcjdHI+lkHZFFE0ff8za/1u0wcsbskuvfTxmLwuKDd0WeQc3wxKzPS64vnzoJORnp5fZ5Y+0/1WrbW2+9hf3792PTpk3iQPzee++JFXNbtWp11/DGsGHDxOWYmBiMHDkSL7/8MqZMmYJTp07hjTfeKP+aFy1Cy5YtMWPGDMyfPx/vv/++yB/57rvvqty2Z555RgQe9Ny0WuI777yDgQMHIiQkRCyQRz00L774IubNm4ehQ4di165d+PDDD8s9xqFDh0SQ0rRp07tyUcaPHy8W77tx44a4319//VUSaJEOHTqI4RkKpkxNTav1vjLGmKY5fX4HXKLSRW9Imzc+lbs5GksnAxFNlZmZKVbIpeGHPn36iG20kq6np2e5/ehAvGPHDsyeLQVMS5YsEcMW6t6TwMBAXLx4UQQEatTDQo/bo0cPWFtbY8GCBdi7d+8Dl19WUwcgFGx06dJFbPv1119F78fGjRvx+OOPi5V6qZfkzTffFLdTD82RI0fwzz+lwVhUVJQILioOy3z66af477//RCB16dIlsXowBTNleXh4iJ6cuLg4+Pj4VOu9ZYwxTbMkbh1CXlJgUlEXPN+whdzN0Vg6GYi8unrdPW8zqHCAfOmHX+/9QIYG5a5O/m7FQ7UrPDxcHGg7duxYss3BwUEEFmXR0Ab1lgQHB4vrV65cKXcf0rlz57sen7ZRkPDJJ5+I3oxu3bpVuW30HEZGRuWex9HRUbSNbiNXr14VwzFlUS9G2UAkJycHZmZmdz0+Dc1QYEPDRxRkUK9NRTTsRLKzs6vcbsYY00Sn75zG8bjjMLIyxsARpb3wTE8CEeNKDoT1ve/DoJ6Jir0FVZ2rTj0aCoUCYWFhkIOTk5PINakM9Z6oE3HpZGlpWe522kacnZ3roaWMMVZ31m37SmRhjmg0Ah5WHnI3R6PpZLKqpqLhFcq1OH78eMk2Omhfu3at3FSvLVu2lOSHEMq3OHHiRLnHOnbs2F2P/+WXXyI0NFTkoNDQzsqVK6vcNnqOwsLCcm1LSkoSvSBBQUHiOvWOnDx5stz9Kl6nBFkaWqkYjFBv0Ouvvy6SXanXhYZmKHAqi4ZsaJiKghnGGNNWZ3f/jgnzzuGDP4rwXNCzcjdH43EgUo8oj+O5554TCas0/EIHXkoQLZtPcfr0aTE0UXZYhRJEKYeD7keBARUKW7VqVbnHPnv2LGbOnCnqjnTt2lXMZnnttddEYmhVBAQEiOBn8uTJIuGUkkrHjRuHBg0alARFr7zyipi9Q49N7Vm2bBm2b98uCquVDUQokKCeGTWlUikeq3///mJaLwVIFy5cuGvGEM2q6devXw3eWcYY0xyx3y4S51aevmhg6yV3czQeByL1jHotunfvLqaq9u3bVwQcbdu2LbmdZtPQTBXK11Dz9vbG+vXrRdIozYxZunQp5syZU3J7bm6uONBTUKOeNktJoTTNl2aqUCBQFRQgUFsGDx4s8k2od4YCD+rFIRTg0HNTIELtoF4X6uUomxNCw0IUbFA+iBrNhKEkVgpcCE1b/uGHH0QRMwp41K+BXh8FQowxpq3O7fwVfqGpKDQEWr7BdUOqwkBFRxsNlZ6eDltbW1Fts+LsDzpwRUREwM/Pr9LkSG1FyZx0gB4zZgy0AQUONBxUtkYIDc1Qoi1NS67q7BeaGbRhwwbs3LmzWs+vq58Dxpj2oeHmXYM6wisiE2E9G2LI0uqVd9Al9zt+V8Q9IhqEZtSMGjVKTJHVVF999ZXoxaBkWJrOS9OPKd+jLDc3NzFNOTo6usqPS70u9HiMMaatTvy9RAQh+UZA2xmlNaiYHs6a0VY0xXXWrFnQZJQ0S1VRMzIy4O/vLwqpPf/883ftN3z48Go9bmWPwRhj2kKpLET24h9hS0Uo+zVHS99mcjdJa3Agwqrlzz//lLsJjDGmcXadXAvj3FxkmwJd3v5S7uZoFQ5EGGOMsYdQUFSAhbd/xe3JCrzpMAZt3bgydHVofY5IxVoUTL/w358xJrcN1zcgJiMGtpaOGDlIWgKD6UGPCOVTUP2N27dvi0qcdL1sPQum22iyFyX30mq/9Dmgvz9jjNW3rMwUXPjpGyiaqDClxRRYGFvI3SSto7WBCB18aMpmbGysCEaYfqKVfqnOSsVF9hhjrD4cWDADYzenoeMFU/Sf+LjczdFKWhuIEPoVTAchKk1e1aJdTHdQ8TQq/MY9YYwxOSTHRsLlL6mGktXwoTBRcM+s3gUihA5CVINCXf2TMcYYqw9HP3sd/nkq3PYwRY/nP5S7OVqL+7MZY4yxagq/cBDee0LFZZvpr8LIiH8M1xQHIowxxlg1Xf30PRgVARHNHNF+8CS5m6PVOBBhjDHGquHU9lXwu5AIpQHQ+IPP5G6O1uNAhDHGGKsiZZESP91aj3N+Bojs1RiNWvWQu0n6G4gcOHBALDnv4eEhEkZpCfeKdR5mzpwplnw3NzcXS95fv369NtrMGGOMyWLLjS04ZByJb8fbofO85XI3R78DkaysLLRs2RKLFy+u9HZaGI0WRFu6dCmOHz8OS0tL9O/fXyzbzhhjjGmbrPwsLDqzSFym4mWO1i5yN0m/p+/SUvX3Wq6eekMWLFiADz74AMOGDRPbfv75Z7i6uoqekyeffLLS++Xl5YmTWnp6ek2bxxhjjNWq/TNfwNCoOBwY2ABPN31a7ubojDrJEYmIiEBcXJwYjlGztbVFx44dcfTo0Xveb+7cuWI/9cnLy6sumscYY4xVS+TFI/DafBr9z6ow3WQgFy/T9ECEghBCPSBl0XX1bZV59913kZaWVnKKiYmpi+Yxxhhj1VpcM3TmW9J03SB7dHn8NbmbpFM0qrKqqampODHGGGOa4tifi+BzJRkFCqDJR1/y2la1rE7eTTc3N3F+586dctvpuvo2xhhjTNNlZ6aiaOFP4nLMoFbwb95V7ibpnDoJRGhVXAo4du/eXS7xlGbPdO7cuS6ekjGmhYqKlFAVFcndDMbuad+8aXBMKUSKjQI93v9O7ubopBoPzWRmZiIsLKxcguq5c+fg4OAgVsSdNm0aPv30UwQEBIjA5MMPPxQ1R4YPH15bbWeMabG1s2cg9noonvz4S7g1DJC7OYzdJTopHLY7TojLypfHwsrWUe4m6aQaByKnTp1Cr169Sq5Pnz5dnE+cOBGrVq3C22+/LWqNTJkyBampqejWrRt27NgBMzOz2mk5Y0zrEwCVhYVIvRPLgQjTOFSG4stzC3B6kiHGR3nhhfHvyN0knVXjQKRnz57iD3UvVG31448/FifGGKvIztUNt6+GIO3OvWfSMSaX3dG7se/mPhhZGqP/jMWcoFqH+J1ljMnC1kVKXE/lQIRpmLTE29i6ciZ1i2BS80nwt/OXu0k6TaOm7zLG9IeNs1QeOyMpQe6mMFbOwQ9ewJR9KWjaxRYTx0+Ruzk6j3tEGGOysLCxFec5GbyUA9Mc53b9job7pIkYbce8DFMF17aqa3obiBQqecogY3Iyt7YR57mZGXI3hTEhLycLqR9/Li7f6OaHtgPGQ9cVasCxUC8DkZsp2ei/4AB2XylfcI0xVn8s7ezh0bgp3AOayN0UxoRdn78C1/h8pFsaoMucpdB11+5koM83+3EqMlnWduhlILLiUCTCE7LwvzVnsDc0Xu7mMKa3OSJPffIlBr/2ttxNYQxhZ/fBc520KGvey2Nh7+INXRaekImnlx9HVFI2vvz36n1nwdY1vQxE3h3YBI81c0O+sggv/HIa+65yMMIYY/qqUFmIiHfegIkSiAxyQLdn3oUui0zMwtPLjyExMw9N3W2wbHxbUXJDLnoZiBgrDLHoqdboH+wqgpEpv5zGgWucuc+YHOiXmJy/xhj7+crPWNE1F9Guhmj59VKdrhkSlZSFp5Yfw530PAS6WuPX5zvCzsJE1jbp7rtdhWDk26fa4NEgV+QXFmHyz6dw6Hqi3M1iTK/8+fF7WDR+FGIuX5C7KUxPhaeG47uz3+GSryGyl38CD7/mcjepToOQJ384hti0XDRyscKa5zvCwVLeIESvAxFiYmSIxU+3Qd+mLsgrLMLzP5/EkTAORhirL0VKJQoL8nkKL5NFQX4u5m15CwVFBejeoDuGB4yAvgQhv03uCGdrzZiarNeBSEkwMrYNejdxQW5BESatPomj4UlyN4sxvZrCm5PBU3hZ/ds1Zyr+98UV9A8xwewus2XNk6jvIMTFWnPWfdP7QISYGinw/dg26NHYWQpGVp3E8RscjDBW18ytrcV5Tkaa3E1heib05E54/nkYZgXA4EZD4GIhVfrVyZyQHzQ3CCEciBQzM1aIzOHuAU7IKVDi2VUncSJC3rnVjOlNUTPuEWH1KDc7A7FvvwOjIiCymRMeeW4mdDkIua3BQQjhQKRCMLJ8Qjt0a+SE7HwlJq44gSPhnDPCWN0PzXCOCKs/e96bBLfYXKRbGKDt/B91cpZMlJYEIUT33v1aCEZ+nNiutGdk5Ume2stYHTHjQITVsxObfoDfjkvicuGMF+DiFQhdE52UrTVBCOFA5D49I5TAKs2mOcUVWBmrA7bOLvAIDIKjl4/cTWF6ICk2AkWfLBSXw3oHoOuY16CLFVPHLDuqNUEIMVBpcCWh9PR02NraIi0tDTY20i+n+kT1Rab+dgY7Q+7AWGEgpvr2C3ar93Ywxhh7OHSom7ZrKlx+34su4cbo8M9eWFo7QJdcjcvA2B+Pi4qpjV2lOiFyBSHVOX5zj0gVpvYOau6OAqUKL/16BlsvxMrdLMYYY9X017W/sOf2AazvZQa3tWt0Lgi5dCsNT/5wVAQhQe42+GNKZ43vCVHjQKQKFVgXPtkKw1p5oLBIhVd+P4NN527J3SzGdAqXeWd1KezqMcw/+oW4PK3NNDR1063qqWeiU0TZ9pTsArT0ssPvkztpRMXUquJApAqMFIb4ZkwrjG7riSIVMG3tOaw7fVPuZjGmE3555zUsHDcCiTFRcjeF6aDMtETcmvwC3luVhf5mbTAuaBx0yfEbSRj/43Fk5Baiva891jzXAbYWxtAmHIhUkcLQAF+MaoGnOniBfri9te48fj3OX5yMPayiIiWUhYXISuG6Pax2FRUVYf+0sXCJz4dTliHe7vYBDA1057B36HoiJq48gax8Jbo2csTqSR1gbaZdQQjRnb9IPTA0NMBnw5tjYmcfEYy8v+ESlu4Pl7tZjGk1Szt7cZ6VmiJ3U5iO2bvkA/gfjYbSADD57F24NAiArth95Y5YkoSqgfcKdMZPE9vDwsQI2ogDkRoEI7OHBuN/PRuK659vD8UXO0J5fJuxGrKyl5IGM7lHhNWi0BP/wmnJBnE55qluaNtPd4Zktl2MxYtrTouZnf2DXbF0fFtRdkJbcSBSA7Qw0jsDmuDtAVIhnO/3hWPmpssoogQSxljNekQ4EGG1JC0lDnemvwWTQiAy2AH93l8id5NqzR8nokVZCZrJOaSlB757uo1YL02bcSDyEF7q2QifDm8GWrDxl2NReOOv8yhQFsndLMa0imVxjwgHIqw2UO/0njfHwyWxACk2CnT87lcoFNo5ZFERpQLM+PuimDRB+YoLnmglZnZqO+1/BTIb18lHfBgomXXD2Vv435ozyC1Qyt0sxrSGpV3x0AzniLBasOLSCnzbIhZhHgawnjcbDu6+0IXg6vPtoeJEKDVgzojm4rijCzgQqQXDWjXAsnFtRQG0XZRAtOoksvIK5W4WY1rBztVNlHl39ZPyrhirqUO3DmHhmYVIsDNA9uKZaN5rNLSdskiF9zZcLJkYMeOxJiI1gFIEdAWXeK9FtFLv5NWnxFSqVl52WPVse9hZaE9RGcYY01YRl49i3l+v4rBfLkYFjMKszrO0/mCdX1iE19eew9aLsaDOD+oFebKDN7QBl3iXSZeGTvh1cifYWRjjXEwqRi89itupOXI3izHGdFpGajwiX3oRr/yRiXGRnniv43taH4Rk5xfiudUnRRBCa51RUqq2BCHVxYFILaOekD9f6Aw3GzOExWdi5PdHcO1OhtzNYkxrCpsxVh1KZSEOvPg43O7kI8PaEM888w1MFNrdE52anY9xPx7HweuJMDdWYMUz7TGwuTt0FQcidaCxqzXWv9RFLMEcl56L0UuO4GQkzwhg7F42fzMHC8eNRPipY3I3hWmZf99/Bv7n4lFoCFh+8TFcfZpCm91KzRG96WeiU2FrbixW0O0e4AxdxoFIHWlgZ451L3ZGG287pOcWiuh25+U4uZvFmEYyVBihSKlEekK83E1hWmTv0pnw23haXE547XE07zUK2uxKbDpGfn9Y9KZTrzr1rrf1kers6DIOROoQJar++nwn9GnigrzCIlEJ7/cT0XI3izGNY+vsIs7TOBBhVXR6xy9wWvSXuBw+rDV6v/AxtNmR8ESMWXoUd9LzEOBihb9f6oJAN2voAw5E6pi5iQLLxrfFmHbSyr3v/n0RC3dd55LwjJVhUxyIpCdyIMIeLCItArv//gZGRcCNtu54bM7P0GZbzt/GMytOIiOvEB18HbDuxS7wsDOHvtCNcnMazkhhiHmjWsDF2gzf7Q3D/F3XkJCZi4+GNtOZgjSMPQwbJykQyeAeEfYAKbkpeHn3y4jpWogCH1+8/trvWl059adDEfjknxBx+bFmbpj/RCutXjemJrhHpJ7QVLI3+wfio6HBoiT8mmPReOGXU2KKFmP6rrRHJEHupjANlp2Ziuk7X0FMRgwaWDXAi9PXwMLKDtqI1ib7bGtISRBCq7rTFF19C0IIByL1bGIXX3z3VJviKqzxeGLZMcRn5MrdLMY0okckLzsLuZmZcjeHaaCC/Fzsf3YIBn13Gi5KSyzusxiO5o7QRnmFSkxbew7LD0aUVEulVd31tYdce/uztNigFu5wszXF86tP4eKtNIxYfAQrn20vpv0ypo+Mzczg06I1zK1tUFiQL3dzmIYpKirCzpdGwv9iIvKNgC98p6GhnXYuCZCSlY8X1pzGiYhkGBka4IvRLTCyjSf0GZd4l1FkYhaeXXUSEYlZsDYzwtJxbdG1kZPczWKMMY2ydcZY+G88gyIDIHXmFHR96nW5m1Qj9F0/Sf2db2qE78e10dkaIVziXUv4Olni7/91QXtfe2TkFmLiihP461SM3M1ijDGNsfPraSIIIbEvD9PaIIR6QEZ8f1gEIVRniope6moQUl0ciMjM3tIEvzzXEUNaeqCwSIW31l3ANzuv8vReprdl3rPT0+RuBtMQ+5bPRoPl/4rLkWM6o+/Uz6GNNpy9KYpapmYXoKWXHTa+3JWH4svgQEQDUJb0wida4aWe0pjnoj1hmP7neZHQxJi+iLpwDovGj8L6OTPlbgrTAP+FbIbp0rXiIBXeNxD9Z/8IbUM/KOf/dw2vrz2PfGWRmJ77x+ROcLY2lbtpGoWTVTWEoaEB3h7QBN4OFnh/4yVsOHsL0cnZohiakxV/aJnus3JwFIvepcTeFl/g2r56Kqu5fTH78PapWXB/SoHnYhpi+DfrYGioXb+b6YfkjPUXxXc5ebFHQ7zdP1B817PytOsvqwdomedVz7YXyauno1Iw7LvDYv0BxnSdnZsbDAwMUZCbg6zUFLmbw2RyKGw3pu+bjkJVIZp1GIjh8//WuoJlSZl5GP/jCRGE0MyYz0c2F1N0NSoIiT4O/DkBuPCn3C3hQEQTUQITjSH6OVmKlRhHLTmCf3nBPKbjFEbGsHVxFZeTb92UuzlMBqe2r4LxmKkIiMjDoz6PYk63OVAYaleBL/rhOGzxYZyITBY/KFc920H8wJRdXgaQWaZycVEhELIJiDoMuXEgoqEaOlth40td0a2RE7LzlXjhl9NYvDeMk1iZTnPy9hHniTGRcjeF1bOz/66B4u15sMkGxl1xwrzu82BkqF09ITsuxYkfjjdTcuDjaCFmRXYLkLEkQ342cHkDsHY88GUj4MCXpbd5dwYe/RhoPQFy066/sp6xtTAWhc6oBPDPR6Pw5b9Xcf1OBj4f1UIvywAz3efk7Yuwk8eQEMWBiD459c8KGM34EqaFQFQTezz60z8wVhhDW9APxG/3hOGb/66J610bOWLx023ECuz1rjAPCN8DXFoPhG4DCrJKb7tzufQy5dx0fQ2agAMRDWesMMTHw5ohwNUaszdfxsZztxGZlI0fJrQVi+gxpkucvX3FeWK0VPqa6b5j67+H+cxvYaIEIoIc0OOXrTCz0J6prbRe2Jt/nce2i9Lw+TNdfPHBoKZisVNZLO8N3LlUet3WG2g2Emg2CnBrDk3EgYiWGN/JBw2dLPG/X8/gXEyqSGKlSqw0J50xXeHi1wgBHbvArWFjuZvC6sHh3+fD5pMfYFQE3GjpjL6rtsHU3Ara4mZKNib/fFrkhRgrDPDp8GZ4on095YMUFQHRR4HQrcCjHwHqHiT/nkBWIhA8Qgo+PNvRqqvQZFziXQvLwj+3+iTCE7LEwnmfDmuGMe295G4WY4xVy/aI7bj9xpvoElKEG23d8eiKf2BiagFtcTIyGS/+chpJWflwsjIRPwzb+TrU7ZOqVMCtM9KwC+V+ZNyWto9bDzTqK13OywSMzQGZk3yrc/zmHhEtLAtPM2qo4Nl/IXfw9voLOH8zFbOGBIvAhDHGNN2G6xsw68gsGA42gHGLFnjqvdUwNtGOoWb67b7mWBQ+/icEBUoVgtxtsHxiO1G2vc6k3QRO/iQFIKlRpdtNbYGmgwEr1zLbtKdHSY17RLRUUZFKzKL5Ztc1ESS39bHH92PbwNVGO/4zM3Yv9JWUkZiAvJzskpwRpjur6G5c+S5mK7ZCZWCAxxs/jg86fQBDA+34EZWTr8T7Gy7i7+IiZbSS+pejW8DCxKhukk6NiotZxp4Hlj0iXTa2BAIfk4ZdGvUp3UeLj98ciGi5vaHxePWPs2LRPCobvGRsm7rvHmSsDl3evxs7vp8Pr+AWGDNzjtzNYbVEqSzE9mmPo+F/odjazgCGrz+P19u8rjUVdKOTsvHCGikfRGFogBkDmuD57n612/6USODS39LJrRkwYqm0nQ7T294EfLsBAf0BE80fwtKY1Xdnz54t/khlT02aNKnLp9Q7vZq4YMvUbgh0tUZCRh6eWn4MvxyN5HojTGu5+PqL8zs3rkNFCXlM6+XlZGLHhH4iCCHNWz6K6W2na00QQj/4Bn97UAQhjmKh0g6Y/Ih/7bQ//TZw9HtgeR9gYUtg90fAnYvAtX8BZaG0Dz3PoK+lBFQtCEKqq85zRIKDg7Fr167SJzTitJS6yBv5+6UuIl9k64VYfLjpMs7fTMMnw5rB3ITrjTDt4ujpDSNTU+Tn5CD59i04enIytjZLS47F0WdGwP9aGgoNgZS3xqP/s+9BW4bAF+25joW7r4tOiVZedlgyrg3cbWspH2TTy8DZX6nLQ7pOQ1S+3aVhl6ZDqNww9EGdv0oKPNzc3Or6afSepakRvnuqNVo0sMW8HaFYd/omLt1KE3kj/s7al7zE9JehQgFXv0a4FXoZsWFXORDRYjevnUHY5EnwuZOHHBNAOedNPDL4OWiDtOwCvP7nOewJlcqij+vkjQ8HB8HUqIY/7nJSgdB/gOCRpb0aVOMDKqnKKW0PGgZYl0k81RN1Hohcv34dHh4eMDMzQ+fOnTF37lx4e1c+zzovL0+cyo4xsaqjbsIXejRE8wa2ePWPcwiNy8CQbw+JSqxDWnrI3TzGqsw9IFAEIrevXUGznsXTEplWOX/7NDImTIBrahFSrQ1ht2AemnYdDG1w8WYaXv7tjFgB3dTIEJ+NaI7RbT2r/0A0lfbqdmm2S9guoKgAMLECgodLt7ebBLQeC9jW4LF1SJ3miHTs2BGrVq3Cjh07sGTJEkRERKB79+7IyMiodH8KUii5RX3y8uJfQjXRpZETtr3aDR39HJCVr8Qrv5/FzE2XxLLUjGkDz6bB4vxmSJkKkUxrbLuxDZN2T8GqXsCtBmbwWfuHVgQhlFu3+kikWC+GghBPe3Os/1+X6gUhBbnSYnJ/TpTWd/n7eeDadikIcQmWhl/UrJz1Pgip91kzqamp8PHxwTfffIPnnnuuSj0iFIzwrJmaKVQWYf6ua1i8N1xcb+FpK9Y/8HLQvWQnpltyszKx+LmnxGyBF5b+DCt7ngmmLdNzf9r3JRbFrBHXe3r1xOedP4OlueZ/f6flFOCddRewo3il80eDXPHV6JZiza9qSQoHvm1Tet2hoZTzQWXWXZpCX6RrakEzOzs7NG7cGGFhYZXebmpqKk6sdtBaB2/1b4J2Pg5irPPCzTQMWnQQX49pJf6TMaapzCyt0O2J8bB394CpOQfO2iAzLRH7XxqDoKuxcJiowLDOk/Bam9egkLnCZ1Wcj0nF1N/PICY5R5Rqf/expni2q+/9Z8XQjJbIg9KwC/2eH75Y2u7YUEo0dfAvXt+lhcaXWNerHpHMzEyRH0LTel999dUH7s91RGrPrdQcTP3tDM5Gp4rrz3fzw9sDmnA1VsbYQ4u4dARRL/0PrvH5YmbMnbefRt9nPoSmo8PfysORmLv9iqiSSkMx1Gt8zzW8aDp5zHEp+AjZCGQlSNsVJsBbYYCZbb22X5NpTEGzN998E0OGDBHDMbdv38asWbNw7tw5hISEwNnZ+YH350CkduUXFokZNT8dklY2bdbABouebM2zahhjNXbkr29h+un3sMiDSEo1/3wmWvV5AtowK+atdeexM+SOuD4g2A3zRreArfk9hmJOLAcOzQfSpaqqgrmDNNOFej58usi+vosm0ZihmZs3b+Kpp55CUlKSCDy6deuGY8eOVSkIYbWPej9o+hklsVLNkUu30jH420OYPTQYj7f11JriQkx/xIVdQ/iZEwjq3gv27g3kbg4ro7CwAP/OmgT/9afE9Rg/K7Rc+jNcfZpqxYJ10/44J3qKTRSGeG9gE0zsUmYohn6f37kM2HkDZsUH0aJCKQgxtZGGXmi6rX+P0lVvWY1xiXc9FZuWg9fXnsOxG8ni+uAW7mKK2j1/DTAmg/VzZyHy3Gl0f/oZdBg2Wu7msGLJucn466PxeGTDDXH9Rt8mePSrX2Fiptn5PAXKIizafV2s01VE5TscLPDd063RwrN4KCYxTBp2oVPiVWDod0Cb8dJtmfHAzZNAwz6AMa/ppTUl3pnmosqAvz7fCW/1DxTrJvxzIRYDFx7E6SgpMGFME/i3bifOI85Kv7qZ/E7EnsDozaOx3D8KEW6GuPPGExj03QaND0KikrLw+NKj+HaPFISMauOJra92QwvLNGnIZWl34Lu2wL45UhCiMJXKr6tZuQBNBnEQUgf0o34sqxQFIC/3aoQuDR3FwnmUMT5m2TG82jsAU3s3ErczJif/Nu2xZ+Uy3LoagtzMTJhZcT6TXAryc7FpyZv4xHY/igyAhs6N0Gj9PDR2DIQmo05/qjQ9e/NlUVfJ2swIc0Y0l4o8ZicDi1oDquIaS4ZGgH8vKeejyUBOPq0nHIgwtPa2x7ZXu+PDjZew8dxtUXvk4PUEfD2mJXwcLeVuHtNjti5ucGjgheRbMYg4exJNu/eSu0l66VbYeVx+dTKCb2RgUG9DmIx7HO90eAfmRrW05kodJqS+t+Eitl6MhQPSMc3lMp5sVADrlv2lHSwcAL/ugKqoeH2XodI2Vq84R4SV8/eZmyIgoV8OFiYKfDAoCE918OJEViabw3+uwbH1f4jekRHvzJK7OXpXoOzgys9gteh3WOSpxHoxma+PxyNasGjd0fAkzFx7GC2zDmGo4ii6GV6GIajnwwB4IxSwdiutB6Ini8vp5awZpn1GtvFEe18HvPHXeZyISBa/JnaGxGHeqBZwteGxUVb/mnTtIQKRyPNnkJ2eBgsb7i6vD0mxETj2xiT4n5Eqjd70skDj+YvRplknaLKcfCX+XPcrPK6swj+G52FqXFh6o3srqeeD6n6ocRAiO05WZXehEvB/TO6EDwY1FVN+911NQL/5B7DlfJnELcbqiWMDL7j4NYSphaUYomF178iWH3B9yGARhFCBsogxndBj6yH4aGoQQuu75GfhdFQKBi46iEuXL+JRxWmYGhSiyLkp0PsD4JUzwAv7ga6v8vCLhuGhGXZf1+5kYPqf50TNEUIJXp8MC4adRZlfFIzVsfSEeFjaO0BhxL9e61Jmfia+PPUlzhxcjzmrlUhyMoHz3E8Q3HUoNE5hPnBjn5hqqwr9B7vdnseU6x3EjJgA60Isb3wMvo+MB1yD5G6pXkrXlMqqD4sDEc2Ze09T3mjuvbJIBRdrU3w+qjl6N+H1ahjTFYeOrMVHt39EXFYcDGCA14v64Mkxs2FuqUFDYUXK0vVdQjYDudKSFWSnsi2mFLyBkW0aYNaQYK6JJDMORFidLQxFi+fdSMgS10e0biAqtTpYcu8Iqx9FRUok34yBk7ev3E3RGXeiQ3Fqxv/gczYOM55VQNnQC590/QTt3KQaLhpDWSBNtU0rHZ7LMnbAutz22FTYGTEWwfhsZAv0Cy5OQmWy4mRVVidoISia5vvVv1ex4nAENpy9hQPXEvDRsGAMau7OM2tYncpISsQfs95BTkY6XliyGqYWml1AS9Mpi5TY+/37sPtxM/xzVVAaABPRGYOHLZJ/Wi79Pr59Fog6AnSZKm2jUuruLYH8TCR6P4YvbgZjXZIPimAoKkP/OKwZ/yjSUhyIsGoxM1bgg8FBGNTCHe+sv4BrdzIx9bez2BR0G58Ob8Yza1idsXJwhMLYGAW5OQg5sButBwyRu0la6/rJ/3Bj9vvwDs8Q1297msPj08/weKfH5G3YnZDSEusp0uKcCHwMcGwoLmY/+gW+OZyEFUdjRC6IvYUxPhneDINbeMjbbvZQOBBhNS6C9s8r3fH9Pil35L+QOzh2I0nMtBnTjuuOsNpHn6nW/QeJSqunt25Ei76PcfJqNaXnp2PPh1PQaPN5eKuAPCMgflwf9J7+NYxMTOVpVGo0cP4PKfhICC3dTr0yFIRQXgiAfVfj8f6Gq2KhOvXQMH3fOFrJ1G5WazhHhD20q3EZYjVfyiEhVDJ+7sjmXJWV1bqC3Fwsf+U55KSnof+Lr6FZr0flbpJWKFIVYWPYRiw8sxDtDyXiuf+KEN7GFa0+ng/PRq3rv0F02FH/WAnZBPw5QbpM9T0aPQo0Gwk0HgCYWiEpMw+f/BMiqj6TBnbm+GxEM/QMdKn/drMq42RVVu9oNs3KwxH4audV5BYUwdTIUKxj80IPf5gaKeRuHtMhJzevx4FfV8LO1R3Pzl8KQwV/vu7n4r51WHN+NbbZRYrrDa188Z7lKHQY8Ez9NiQjDri8Uer5CHgU6PG2tL0gB1j3HNB0MBA4EDCXVsKlQ9PGc7fw8ZYQpGQXgJa+erarH6Y/2hiWptwTpuk4EGGyrnD5/oZLOBSWKK77O1mKMdyujZzkbhrTEfm5Ofhx6nMiabXfC6+iee9+cjdJI0VdPobLn70HvzOxiLMDPnzJBpPbvoSnmz4NY8N6mtqalQRc2QRc+huIPEThhbSdioy9fOyedwtPyBSL1B28Ln2PNHGzxuejWqCVlxSkMM3HgQiTFX2ktlyIFd2pCRl5YtuwVh54f1BTuFhzMit7eKf+2YD9v/yE4B59MeClaXI3R+NKsx+d+wZ8dl2BURFQBOBGN190/Ox7uLj61V9D/npWGnZRr2xLPDtIJdaDh5eu9VJGdn4hvtsThuUHb6BAqRKVnV/rE4Apj/jDWMGFwLUJByJMI6TnFuDrf6/il2NRIsOdlt9+q38gxnb0gYL6WRmrIWVhAWJCLsG3hQz5DRoqKz0ZBxa8A5f1h2Ahxf+IbGoPv/dmoUn74tVm60p+FhC+F2gyqDT3Y8OLwPnfpSm3wSOB4BGAvU+ld6fD0L+X74gfL+pk1F6Bzpg9NJhzzbQUByJMo1y8mYb3N17EhZtp4noLT1t8PKwZd7MyVgtyC3Ox7to6HNiyBK+vTBbbYj3MYP36y2g/5Pm6Xd8l7D9p2OXaDqAgG3jhgBR4kMQw6dyp0X0fJjIxC7O3XBZrWqmTUWcNCcKjQa48+06LcSDCNDKZ9bfjUfji36vIyJVWwxzVxhPvDAiEC9ceYQ8hOy0VZ7ZvQZcxT8PQUH8SV3Oy0/Hvv0uwqOBfJORIB/HpO03h13Mwuk/6AIq6WFWWqpsWr++C0K1AnrQGlWDvCwz8GgjoW6WHyi1Q4vt94Vi6Pxz5hUUwVhiIIZipvQJgbqI/f0ddxZVVmcahoZjxnX3Rv5kbPt8eir/P3ML6Mzex41IsXurVCM918xPF0hirjiKlEr/PfAupcbEwMTdHh2GjoevycjKxf9ksWP22Az45Rch9SQF3Zw9MaTEFw8YNgzFVIK0rEQeAX8u8xzYNpCEXyvvwaF06LHMf9Nt38/nb+GJHaU2Q7gFO+GhoMPydrequ7UxjcY8Ik8W5mFR8tOUyzkZLtUe8HMzx/sAg9A/m7lhWPRf37sTOpYvENN4nZn8Oj8ZNoYvSk+NwdMlHsN14ALYZlIIKpNgokPz+s+g/+NXaDUCKioCbJ6RhF2tXoPsb0nZlIbCsO+DbTcr78OoIGFY9ifRMdIrIA1H/v3e3NcMHg4IwsLkb/7/XMTw0w7RCUZH0y2ju9iu4k55XUgxt5pAgNHHjvzerGvoK+2fhF7h29CCsHJ0w/vOFsLDRoBVjH1J8bDhOzv8Qbv+eg0We9HWdYmOI7DH90O2lj2FmYV07T0SHgthzxSXWNwDpN0t7PaZdKg04yhYjq6LbqTmYtyMUm4qLkpkbK/C/ng0xubs/D8PoKA5EmFbJyisU48TLDtwQY8U0oeaJ9l6Y1rcxr13DqiQ/Jxtr3puOlNs34d28FUbOmK315d+j0qOw6vIqHDyzEfMX54qpuHdcTFD01BB0feZdmJrX4mySI98Bp34Ckm+UbjOxlmbBUJXTRn2BGuTf0P/tZfvD8cPBG6LQIcUvlBtGs+f4/7ZuS+dAhGmjmORszNl2BdsvxYnrZsaGInfkhR4NYWNWTwWYmNZKjInCr+9PR2FeHoJ79hUl4LWtu1+pLMTpLT/h6t4N+LLNbaiKC4C9cNEVrdsNQqfHX6mdJNSkcCm5VB1cbHsLOPGDtL5L4/5SzgdVPzWu2Sq8hcoikQP2zX/XSno7O/g5YObgIDRroDu9VezeOBBhWu1UZDLmbg/F6agUcZ1W2JzaOwDjOnlzuXh2X+GnT2DTV5/CwcMTT370BcystCP5MT3lDo6u+BxmG3fDJaFAbHvjOQX82vTApGaT0MalzcMHVakxwOW/pbwPGoJ5ZquU66Fe9TY+pGR9l5qiw8mOS3H4cudV3EjIEtu8HSzw3sAm6B/MeSD6JJ0DEabt6GO5M+QOvtgRivDiLzRKaH2zXyCGtPCAIRdEY/cQfvo4GgQGa0UQEnZ2H66sXAiP/aElRciyTYHYnkEInvou/ALaPdwTZNwBQorXd4k5XrrdQAH0nwN0ehG15XBYosgDUdcLcrA0wUs9G2J8Zx/+AaGH0jkQYbqCunj/On0T8/+7hvjicvHBHjZ4o19j9Ap04V9Y7IFuhYbAI7CpxnxWsguysTNqJ878sxJPLb1Wsj3e2Rj5I/qi06QZsLarhZVl40OBJZ0BlTTDBjAAfLpKOR9BwwDL2ln/iVbd/vLfqyXrS1maKPB8d388390P1jykqrfSORBhuobWoFhxKAJL999AZp5UEK2llx1e7xuAHo2dNeYgwzTLhV078N/y79CsVz/0ff5/UBjJc2AsKipCyJEtOByyHSutziGrIAtGhSos/l6JlIbOcH56LNoNeb7mKwnnphUXGMsEOk6RttFX+8KWgJWLlPMRNBywca+113TtTob4gaDO6TJRGGJsJ2+x6raTlWmtPQ/TThyIMJ2VnJUvsvBXH40UWfiktbedWBq8WyMnDkhYOef/247dPy2BSlUEz6BmGDr9PZhb1993SVxUCM7/9h2Mdx6Be2yeWAX3tRcV8LTxxsiAkRjSoD9cHbxqvr4LlVannI/rOwFlPmBuD7x5HVDXFMnLAExraXpvsdC4dCzafR3bLkoBCP2XG9naE9P6BsDLwaJWn4tpLw5EmM6jVX0pIKEF9fIKpYCknY89Xn+0sahFwgEJU7tx9iS2LvwC+Tk5sHZyxsBX3oRnk+A6e7605FicXrsY+dt3wetaGtTlvgoUQEzbBnD58AO0bfQIDA1quJoslVg/8zNwdbu0vouaU2Og2Wig80u1HnyQkNtSALLjshSAkMeauYlp9oFutf98TLtxIML0Rnx6LpbsD8evx6NFDRL1NMGpvRqJstEckDD11F6aTUOl4A0MDNFp1JPoNPKJmg+FVJCvzMfBmwexNWIrGi77D73PSsOHJMbPCgb9e6DdU6/C3tW7Zuu7UH6Hetru7o+Bg19Ll2kKLlU4paEX1+BqFxqriku30kQAQsnjhJ5iYDN3vNKnERceZPfEgQjTO3FpuViyLwy/n4hBvrKoJKmVqjc+1sxdrHXD9BsVPdu9YilCDuwRR9NxcxfA1a9hjR8vMy0J57b8hLR/d+K35mm44JortjeNVuHlnQpk92mP4CdfgHeT9tV/8CIlEHVEmu0SsgkY/j0Q+FhpEurZX6SkU482dRJ8qMuxf783HLuulAYgg1t44JXejdDYlXtA2P1xIML0VmxaDpYfiMDvJ6KRU6AU23wdLURRtJFtGvA0QoYrh/YhIToSjzz9TMk2ZWFBlRJZU5Nv4+yGH5H93240uBQP0+KOj63tDbB9qDsG+g0Up0D7QBhWYw0Wgb6Kb56Ugo/LG4BMKQAQ2kwEhi5CfSy7sPdqPJbtv4ETkcliG8XwQ1pKAUgjFw5AWNVwIML0XkpWPlYdiRRJranZUoEoF2tTUan16Y7ePK2QlUi6FYM/P3oX7YeOQqt+g2BkYlLu9psZN3Hk6k7YfPojPK6nwFhZ5r72Rkjt0hReI55C867Dap73kZ0MLOsBpEWXbjOzBZoOlYZdfLuXDs3UARrW3HTuFn44cAPX4zPFNmOFAUa0biCC+Ia8Ki6rJg5EGCuz1sUfJ2Pw48EbiE2Tus6tzYzwZHsvTOjsy1n+DHtWLcPZ7VvEZUpmbTdkBAoLExB24xT+8L6FiLQI0Vux9DslHDKBBCdjZHZrAb9hTyGw42PV7/lQD6/EX5aCDLXvuwCpUcXru4wC/HsBRuWDotqWll2AtaeiseJQJOLSi/9/mBrh6U7emNTVj9eDYTXGgQhj9/jFR4vrqSu1UpdzvyA3PNvVVyS4cmKrfipSKnHwz59wfts2FORLYy2mBYVwS03D3CezoDQzRGuX1hiU6IlWzfuiYYtHavZZofVd1CXWqZy6sQXwVhhgUrx4XeJ1wNazxuu7VEdYfAZWHo7E32dulQxhqnsMn+rozWs7sYfGgQhj9xkD33ctXnwJH7wuVYJUJ7Y+29UPQ1q6cx6JHkjKScKJuBNIW7EKDXaHwCm5EEoDA0Q72iDC2Q65JtIwiKmjLcbP/x62pjVcqC3tVnHwsR64fbZ0u6GxtKLtwC8AuxrMpHmI/A8asiz72W/iZi16P4a19uDPPqs1HIgwVsXKkNKvwpsltUgcLU3weDsvPN3BG96OPGyjK1LiYxC6928kHjuI3zoX4FKOtNz9k/uVGHlEhUJD4LaPFZRtg+HVawgMDG1wetsmNGrfGV3HjBX7KgsLcXHPTjRq3wlW9g5Ve+JD84Fds0vXd/HvIU23bTpYKj5WD1Kz87Hu9E1RcycqKbukN/DRIFc808UPnfy5N5DVPg5EGKtmYuvvJ6Px85GoknFyQnVIxnb0QZ+mLjBW1DAJkdU7+kq7FX4OYfu3IOvkSVheiYbrnfyS2z8fbYgzAYZiZktvNEGbAncE93n8rvVd6HEo+DAyloYprp88is1ffSbmsVJBtMadu6Fxx66wtLOXkk2vbJF6PtpMAJqPlh4kJQrY+D9pqm3TYYCVc729BycjU/Db8ShsuxRXUmPHhvKjOnhjfCcfzo9idYoDEcZquMDe7tB4URzt4PUEMZtSPXZOya1j2nvB056/vDVNfm4WwhOv4WzGFZyNPwvFzkOYuD71rv3uOBsjK8gbFqOGoeUjo+BgVsVejWI3zpzEsQ1rEXsttNx2d3tD+BlFobntLVgZFwCNBwBPr4VcQfX6MzfF9HV1LpR66JFmi9EsGIviYSfG6hIHIow9pOikbNFL8tepGCRmlv6apvLxo9t6YkAzN/5Cl4FSWYiIkKO4eWw3ss6fg+m1GLjcysaaXobY3l7qtWqQqMJXPyoR52mB3GZ+sOvQGY0fGQqXBgG10ob0O7G4tvxVXAtLQGxO6bTW5zqmw679cCB4BBIzDWBoZAR79wZ1PuxBAfTBsESsP31TVD9V935YmCgwtKWHCECaN7Dl4RdWrzgQYayW0Jf6zpA48QvzcFhSyXZa6nxgc3cRlPCMm7pRpCpCTEYMriZfRdi1Y/BbvA3OUemwzL37K+tAaxOcndRZzG5p7dwKQZYNYWVbO8vcozAPiD0PeHUo3bZiABB9FBlWgYiw6IL4Ihf0nfpeyc0bv/wU4aeOwcLWDg0Cg9CgCZ2C4ezjW2srAF+JTRfBx8Zzt5GYmXdX7wcFIVwvh5WlKlKhIE+JvJxC5OcWIj9HifycQljamcLJs3ZrxXAgwlgduJmSjQ1nbmHdmZslSX/E28ECw1p5iOqTXPq6ZjLSEhB+eg8SLpxEXuhVmN64jQsNCrCqp/T1ZJqvwuqvlWIBuXwjIN7TCnmB3rBq1RreHfvAp0kHKAxrccYHre8SsR+4tEHK/SjIkla1tSgezok5IU2zdW1WaYn1TV99hohzp6AskIrpqRkqjOAeEIgnZn9eEryqiopgUMVaJLSUwT8XbmP9mVsiEFFzsDQRgceoNp5o1sCGA2MdpFIVBxHZFEAUIi+7oPQyBRQisChzypWCjLyy13MLgUqO+M17NMAjTwXWans5EGGsDtF/mVNRKVh36ia2XoxFZl7pAmeNXa0wpIUHBrf0gJ9TcX0IdpfcwlysuPAj/Of8CYvYFDgmFZasUqsW2gD47FlLNLJrhCDHIHS5pIRns45o2KYXjE3roNYGre8SfbR0fZfs0h4wWLsDY34u3yvyAIUFBbgTfh23robgVuhl3L56BblZmfAIDMJTH39Rst/Pb78iapk4enrD0dOr+Nwb9u4eovckPiMX2y/GYeuFWJyMSi7JXTJRGIpE6pFtPNEz0JkTqrVAYb7UG6EOIHKzCoqDiuITBQwUYNy1TTqnHo3aYGhoABNzI5iYK8R5w9YuaDfQF7WJAxHG6klOvlIM3Ww5H4sD1xJKFtwjNC4/uIU7+ge7wZeDkruGXTr/1hlfL0iHY4a0Lc3aECledihq5AProObwaNsNvsGdYWRYT7k4p1cDW14tvW7hBARTzsdIwLszfXs/1MPTV216wh3kZWfDxddfbMvPzcG3z4yR1pmpyMAQyc6B+N2qJ9THnwY5t+Dr7Y7+nYIwtLUX7CzqtvIqq7weCwUGFESoT3nivLDc9cqCCWVx/s7DMFQYwNTCCKYWxiKIMC0OJsTJTDo3VQcZxdel2xQltymMDeu814wDEcZkkJZTgJ2X47DlQiwOhyVCWebXC/WUUBXXfsGunDhYbOn5pfA4ewseLg3h27I7nBrUfCXcaqGvvLiLUs+HW/PSqbaZCcD3HaVVbsX6Lo/U6fouUlNUyEhKRNLNaFy/GobQK9eRfCsGJhkJMFXl44pVY+xy7oNWXnYYFOyCjGVvSEM5BoawdnKCrYsb7FzdYO3oDLeGAfBr3a5O26tL6L2XeiUKywQTBQ+8TkFFZcMbVUX/9U0okKCgwMJYCiooUKiwTQQNxQGHtF061UcQURs4EGFMZkmZedh+KQ7bLsbieERyuaDE3dYMfZu6ioJSlOhqZszVLOtFwlWpvDoFIEnXpW0+XYFnt5UfnqnNXJMH/LI+G5OK/0LuYNeVOwgrXmxOUKnQ1lmBvoGOGNy1maj5kZWagnWffoDU+DgU5pUmp6o17dYTA195U1ym+idLXxgvapzQ+jnWDo6wtHeEpa0dLOzs4ODhCScvH+gSej9zMwuQk5mP3Aw6L0BORn7peUYBcjNLr1OA8TBDHcZmCphZGhefjGBaclkKJOi8XDBRHGgYmypgQBXldFw6ByKMaQ5aWGzP1TvigLPvagKy80uXbzUzNkRnf0f0aOyMHoEu8HW00IpfO1rl8CLgwlrgzqXSbUZmQEA/qTckaFi9NSU+PRcHrieKOjWHriciKat0ariRoQE6+TuKAJVyP+5Vs4a+srPTUpEaF4vUO7FIi7+DzOREeDRuima9HhX7pCfGY/nLk+7ZjqDuvfDY1DdKcllWvv4iLGxtxSwfCxs7WNrZwczKWpwob8W9UWkiI+WzGCrqPlij10nDGtnp+eKUQycKJDLKBxgi+KAgg1bZrsHRzMjEUAoeygQV979Ol42g4Jyc++JAhDENlVugxJHwRPx76Y5Y8+ZOevlftjQDh4KSbgFO6OjnwDkANZGVCFiWmbq7ZjQQ9l/x+i59pGEXGn4xta6Xv/epyBQcuJ4gcohC44oTYorRStC9Al3QN8hVJJzW1mJz1CNCgUpGciIykxLF8E9WajKyUlORlZaCRu06ocMwaUgqPTEBy19+9p6PFdyjLwa8NE1cLsjLxaIJo2FibiGCFHNrKVgxs7QS5x6BTUWQQ+jQQkXgTM0tYGJhAVMLOreEocIUeVlKKcBIoyAjD1nFwYZ0XdpG50WF1T88UZBgbmUCc2tjcW4mzo3LbTO3oYDCBGZWRjDiHsk6wYEIY1qA/uvRgWn/NekgdTIyGQXK0v+O1DHSxM1GrAVCvSY0jMOByT1kxkszXWjoJeYY8NoFwM5Lui18L5B2s17Wd8nOL8TpqBSciEjG8RvJOBeTWi6Bmf6mlCNEywc8EuCMNj72ss92oR6R+Ihw0ctCJwpUstPSkJuZIU5+rdqizUCp14gCmh9eeuaej9W4U0+0HfI8slLykJaQjv2rX7/HnsZQmDSGsWX/0qmpWVsAA2MYwFici8sGxjAyMYOFrTPs3JqUBBLKwgRY2FjA0s4SVvZWsHKwhoWNKcysjLmnQkNwIMKYFsrKK8TR8CQRmBy9kVQ+Z6D4INbUzQbtfO3R2tsOrb3s4aPPQzm0vkvoP1LOR8QBKshRetuIH4CWT9R5E2hq7bnoVJyOloKPizfTUFgh78DVxhTdA5zxCPV0NXISNT+0MakzMzUPmck5SIlLQVpCCjISU5GZmobstHTkZmSIUvuGCmcoTKQKtqqiHORn/g2o8qFS5YlzoHSqu5l1c7g1HiUCCFML4OzWd+/ZBlp8cNib75e0Z/7Tw0TSbllGJqYwNjWFb6u2GFg87EQ2fPGxyLkxMjaBwsQERiUnUzFFunmvfiX7Xjt+WNrXxLTcfnRuYmYOKwfH0velGvVf9FF6NY7fXKOaMQ1haWokuujppD7I0cHt2I0kHLuRLAKTkNh0cfr5aJTYx97CGK297dHayw6tvO3QzMMW9lp2oKsRCjx+GQkUlSkY1qCtNOwSNBywbVAnU7Uv3krDuZgU0dNBAcjttNJFEtU8bM3Q0d9RDK3Ruabn/VCSZ3ZaHjKScpGRXHxKKnOekofCvNK8plI0jERDYE6AgVTfTWFkCEt7U1jZmcLSzhVWdu+Kqp0WtiawtDWBqYUCRiaFKFLmwcjEGNYOTiW9Mo7uLyE/NxcFdMorf05F4EraqywUuSwFuTkoyM2DqjgALczPE6f8nNJigyTy3Blxn8p4N2tRLhD574fvRC9QZWhW0tg580uuL5/6HDJTkqAwNobCyEjUfFFfdvT0wfC3PijZd+cP34pkYyMjY1H6v+Q+xsawtLVHxxFjSvYNPbwfuVlZUBhTHoqRyMeh+1AxPBMzM3g3a1myb9KtGFE0jx5L7Ef7GymkthhRkqx2lA3gQIQxDeVibYbBVBythUe5wORsdCrORqfg0q10pFAibGi8OJU9EAZ52CDIwxZB7jai5LenvblGHwzvKz8buL4TUBgDTQZJ2zxaS7NbnJsAzUZItT4c/Grl6egXN+XuXCkO+q4UnyISs0rqeajRW9rYxVpMr21PgYefg8atakszQ6g3Iz0hB+lJOXcFHJkpeSgqMyR4v9wLKcBQBxrFl+3NSrbRPjX5nNEKxy0fHVilfekg++LSn6XXplKhsCBfClqKAxc6uJc14OXXi4OU/OJTnjh407mtq3u5fSnHJS8rs3TfgtL7mFqWL4GuLCwQvSI0g6niLCYTs/KfgehL55F2J67S12Pv7lEuEDmx8S8kREdWuq+VvQNeKH7t5N8lCxB7/Wql+1IQMnVl6eKL6+fOws3LF0WgIgIWhRSwNO/dD51HPwWdDkQWL16ML7/8EnFxcWjZsiW+/fZbdOhQ9eqEjLHKA5O8QiWuxGaIoISCE/qVHp2cLX6l02nXldLgxNrUCP4uVmjobImGznRuhUYuVmJoR+4chXuu7xK+Rxp2Cd0mlVinmh/qQIQSTV89B9iUP5BUB02pvpWSg/DETNxIyMKNBOk8NE4K8CpDwywUdLTyskdLL1u08LSDlan8v+eoUBYFFWkJOcWnbBF40OX0xNwHFtKi6aQUSFg7msHawaz0vPgy9XIYm2heUicFPcY0JGNiCtjYVrpP0649qvx4I96eWeV9n/n6exHQUEBCycHisrheeFcw9MjYZ5GbmSn2LSosFD1AdE7XTSsEON4tWsPOzaPkcWmWEvXo0GWLCq+REoSpd0i9T1GhUiwMSQFSxZlNImAqyAcqfLTzKvQgyaFOc0TWrl2LCRMmYOnSpejYsSMWLFiAv/76C1evXoWLi8sD7885IoxVT3puAUJjMxByO61kGOdaXGa5hMmyaMoo9ZbQr3g6pymj6nMvB3M4WZqKctD1OuRCU21pfZfctNLtdt5Sr0fvD6tcZIy+2mh6LAUbt1JzSs5vpuQgOjkLkUnZJSvVVqQwNIC/kyWautsUn6xF75KLjRnkQq+Hei9S47KRcicLKXHZSL2TLYKNzOTcSouzqtHfkAIKG2fzcgFGSaBhawJDTQxIWY1QIFJUVCSGZ9Sy09NEMEKBihQESUEOTdu2cXrw8Vhrk1Up+Gjfvj2+++47cZ3eGC8vL7zyyiuYMWPGA+/PgQhjD69AWSSGFcLjMxGekClyTcITssTlsjVN7hWoOFmZwsXGFM5WpnC2NoWLtXRua2ECGzMj2Jobw8bcWDo3M4aJUTUOaJRwWDbh769ngct/S5et3IBmI6W8jwZtka9UISO3ABm5hcWnAhF4JWTmIzEjT6xAm1B8npiZL4aycgvu3xNAbfVztIS/c/HJyUosXBjgaiVboTllQRFS47OLAw0p4BCnO9n3yNUorYdh62wOGydzcW7rYgFbJ/Pi4MOUAw2mf8mq+fn5OH36NN59tzQT2tDQEH379sXRo0crvU9eXp44lX0hjLGHQ0MvdHCtuDIw/QaJTcsVKwnTysIxKdRbQJel3oPYtBwxAyQuPVecqoqKtNFB3NSo/LmZkQJGCgMYQIVG+VfRKWcfOuYcxBfOc3DL2FcMlTTNaoO2prnYY9QNZ1VNkHvOAHmnUpCRuwN5NVing9IVKHBqYGeOBvYWxefm8LI3F8NTHnbmovdDDlJ591wk3c5C0s1MJN2STqnxOfes+Ek9G7Yu5rBztYC9m6U4p+sUeFjYmGhvHhDTa3UWiCQmJkKpVMLVVZoBoEbXQ0NDK73P3Llz8dFHH9VVkxhjZdBBiw7EdAJKpyWW7UlR9zLQKb74XH2itXXUJ+qZoF4KQr0Qd/dEqNDUIBpDFEcxxPAovAwTSm5xjfkXfyhHictH4I+fIC0IB1Qe/FiaKGBtZiyKgVFPjKOlCZysTUXPjbOVieitEZetTeFmawZTI/lzGwrylSLYSIzJQOKtLCQXBx20NHtlaIEye3dL2LtawM5NCjrs3SxE7wbXyWC6Rv4sqzKo92T69OnlekRoKIcxJk9PirutuThVBfVoZOYWiqCEEmkpGKFzg6RwBO6bAsv0GyX7FirMEeveGzcbPAY/p6742tBE9JZQ7wkNl5goFDA1pnPpOiWE0rCPlZmRbD0YVUWJoRRkxEdlID4qHfGRGUiOzaq0l4NWUqUgw9HTEo4NrKSThxUs7bh3g+mPOgtEnJycoFAocOfOnXLb6bqbm1ul9zE1NRUnxpj2oQDB1sIYtnm3gOybgG836YYGlsDOJEBhCjTuJ3I+jAL6w8vEAtr+M0M9vBIbnoa48DQReCTeyqy0NLm5jQmcvazhVCbooN4O7uFg+q7OAhETExO0bdsWu3fvxvDhw0uSVen61KlT6+ppGWNySL8NXN4glVi/dQqw95Wm19KveiNT4Om/AJemgJl2J50XKam3Iwux4amIDUtDbBiVRC9duE6N6mm4+NjAxce65JxqbXAvB2P1PDRDwywTJ05Eu3btRO0Qmr6blZWFZ5+99wJLjDEtkZkAhGyUApCoIyIPRDAwBOx8gJwUwMJB2ubdEdpITAG+lYWbocmIuZIiApCCCnkdlEDq7GMNt4a2cPW1ESeaEstBB2MaEIg88cQTSEhIwMyZM0VBs1atWmHHjh13JbAyxrTQnk+AM6tLr3t3Li6xPgywqv26BPUlMyUXMVekwIMCEFpivmIiKQUd7g3t4N7IFi6+NhpZ7IsxbcGL3jHG7i8vA7i6XRp2eeRNwLOdtP3GfmDXLCn4CB4B2HpCG9FXYGJMJiLOJyDiQqK4XLE+h0eAPbya2qNBoL3I7ajXIm+MaSGNqCPCGNNiBTnS+i5UYv3av0Bh8VRayv1QByL+PYAp+6CNaKG3W1dTEH42AZEXEpGVWmatEAOI4RWvpg7wbGIPNz9bKIw5oZSxusKBCGOsFOV1bHsbuLoNyC/TM+DQUOr5aD4a2op6PuJupOP6yTsIOxOPnPTSJFMjUwW8gxzg29wJPs0cRXEwxlj94ECEMX1Gy6OnRAJOjaTrpjZA5EEpCLH1kkqs0xov7i2lGTBaKD0xB1eOxOLqsTix4qyamaUx/Ns4w7+lMxoE2sFIppLujOk7DkQY0ze0vkvMMWnY5fJGKcCYHiotJmeoAAZ+CVi5Ap7ttTb4UCqLEHUhCZcP3UJ0SHLJhB5jUwX8WjkhoJ0rvIIcuIYHYxqAAxHG9AHlpN86Uxx8bAAybpfeZu4ApEQATgHS9aZDoK3ysgtw6cAtXNh7E9ll6ntQrkdQNw/4tXCCEc9wYUyjcCDCmD7Y/wWwb07pdRqCaTJYyvugpFOFMbQZDbmc3x2DkEO3UVC8Qq25tTGadvFAUDd32DpbyN1Extg9cCDCmK5JvC71fPj3BLw7SdsC+gKHFwCBj0nBR8M+gLEZtF1WWh5ObYsUAUiRUhp/cfCwRJt+3mjUzhUKIx56YUzTcSDCmC5IiQIu/y0FIHEXpW2pMaWBiEcb4K0wwMQSuoCGYM78G40Le2JQWLzSb4PGdmjd30fMfuGqpoxpDw5EGNPmGS8nfpCCD1rfRc3QCPDvJfWCqNGBWQeCEJqCS7NfjvwdVlLx1NXPBp2HNxTFxhhj2ocDEca0SX42YFKc70AzXE79BCSFSVW4/LpLwy5Nh5au8aJDUuKysHdNqFhsjti7WaDziIbwbeHEPSCMaTEORBjTdDmpQOg/Us/H7bPSVFvK76CDb7fXgfwsaX0XazfoIuoFubjvlugFURYUiZLr7Qf5oWUfL84BYUwHcCDCmCbKyyxe32U9ELYLKCqz8Fr0EaBhb+ly63HQZdnp+di9KkSqBQKI9V56jW8KawftT7RljEk4EGFM01Cdjw3/AwpzSre5BEkVTqnSqWND6IOE6AxsW3IBmSl5Yq2XLiMboXmPBjDgBecY0ykciDAmp8J84MZewMKxdDE512ZSEOLgX7yy7UjANQj6JPxMPP5bGSKGYmxdzDHwxRZiWi5jTPdwIMJYfStSSuu50LBLyGYgN1VKMH3iF+l2qnD6v6OAS1OtLbH+MK4cuY29v4SKYrC0AN2jk4JgaqHdBdcYY/fGgQhj9SW6zPouWfGl2y1dAHvf8vvqWQ+IGpVmP7j2mrgc1NUdPcY2gSEPxTCm0zgQYay+7JghzXoh5vbSTBcaevHpKk3F1XOhx2JLgpBWfb3QZVQjnpbLmB7gQISx2kTjCfEhUs9H6FbguZ2Ama10W+vxgHOT4vVdemr9+i61KTokCXt+DhWXaVouByGM6Q8ORBirDYlhpSXWE6QDqkDBSKunpcvtn5NOrJz0xBzs/PEyVEUqNO7oiq4chDCmVzgQYexh0FDLlteA2POl2xQmQEA/IHgE0HiAnK3TeIUFSuz44RLysgvh4muD3uOa8vRcxvQMByKMVUd6rDTLhWa0ECtXIPYCYKAAGvaShl2aDCodjmH3dWprpKgXYmZljAFTmol6IYwx/cKBCGMPkpUEXNkEXPobiDwk5XdM2CjdZuMBPLEG8O4MWDrK3VKtkhCTgbM7o8XlXmObcLVUxvQUByKMVSY3TcrvoJyP8L2ASll6W2GetPKtovi/T9PBsjVTWxUpi0StkKIiFRq2doZ/a2e5m8QYkwkHIoxV5q9ngPA9pdfdWxZXOR0B2HnL2TKdkJWWj4I8JUwtjND9ycZyN4cxJiMORJh+K8iVFpWjno8BnwPWrtJ2qvGRfhtoNlqv1nepLzQM88QH7ZF8OwuWtqZyN4cxJiMORJj+URYAN/aV1vrIS5e2U55HxymlNT/aPiNrM3WdkbECLj42cjeDMSYzDkSYfs142f85ELIJyEkp3W7jCTQbAfh1L93GlU4ZY6xecCDCdFdREZCdBFgVJ0IamwFnfwWKCqT1XYKHS3kfnh0AQ542yhhjcuBAhOleifXYc6WLy1Gdj8m7S9d36T8HcA4EfLtxrwdjjGkADkSYboi/IgUfdEq+UX4abnYyYOEgXVfngDDGGNMIHIgw7bftbeDEstLrRuZA4ABp2KXRo9KQDGOMMY3EgQjTLqkxwOUNQNBQwN5X2ubdETi9Ugo6aKotre9iaiV3SxljjFUBByJM82XcAUI2SsMuMcelbco84JG3pMuBg4A3rwPmdrI2kzHGWPVxIMI0U342cGEtcLl4fRdVUfENBlKiqVOZapw09MLDL4wxppU4EGGao0hZfibLzg+A/EzpMk2xpWGXoOGAjbtsTWSMMVa7OBBh8srPAq7tkFa2TY0GXjgAGBgAJhZA56mAsbm0vou9j9wtZYwxVgc4EGH1j1avVa/vcnU7UJBdelvCVcCliXS517uyNZExxlj94ECE1a/Tq6UhF/X6LoRmv9BUWzpRsTHGGGN6gwMRVrc5H1GHAVsvwMFP2mbjIQUhNg2kIRcKPjxaS8MxjDHG9A4HIqz2S6zfPFlcYn0DkHkH6DoNePQj6Xb/nsCzOwCvjry+C2OMMQ5EWG2t73K+dH2XtOjS28zsAIVJ6XWFMeDTWZZmMsYY0zwciLDaGYJZMwrITpSum1gBTQZJwy7+vQCjMoEIY4wxVgYHIqx6ksKlImNRR4Cx66XhFYUR0PJJIC1GCj4C+knTbhljjLEH4ECEPVjaTSnfg4Zebp8t3U7l1tXDLP0/k615jDHGtBcHIuzeIg8Duz8GYo6VbjNQAP49pJ4P1yA5W8cYY0wHcCDCSmUnA4W50hRbQuXWRRBiAPh0kUqsNx0GWDnL3VLGGGM6ggMRfZebDlzdJg27hO8B2kwABs8vXd9l4FdA4EDAtoHcLWWMMaaDOBDR15Vtxfou64Hr/wHKvNLbkm+UXqZE1A6TZWkiY4wx/cCBiD76sQ8QH1J63amxlPMRPBJwbixnyxhjjOkZDkR0mbIAiNgPhG4FBswrrecR8Ki06q1Y32Uk4NqMS6wzxhiTBQciOrm+yxFp2OXKZiA7Sdre+DGgcT/pcs93gb4fcfDBGGNMdhyI6IqUSODY0uL1XeJKt1s4AUHDADuv0m1cbIwxxpiG4EBEm9d3KcgGTCyl6zTUcnyJdNnMFmg6RBp68X1EqnzKGGOMaSA+Qmmb+FCpxDoNvXi0Bkb9KG13CQI6TwV8uwENewNGpnK3lDHGGJMvEPH19UVUVFS5bXPnzsWMGTPq6il1F02pvUTBx99A/OXS7TmpgLJQ6vGgfA8us84YY0zL1GmPyMcff4zJk0vrUFhbW9fl0+mmv18ALvxRet3QGGjURxp2CXyMh10YY4xptTo9ilHg4ebmVpdPoVsy44GQTUDLpwBTK2mbUwBgYAj4PSIFH00GAxYOcreUMcYYqxUGKhVlPdbN0Exubi4KCgrg7e2Np59+Gq+//jqMjO4d++Tl5YmTWnp6Ory8vJCWlgYbGxvo7PouV7ZIeR8RBwBVETDqJ6D56NLbiwoBKxe5W8oYY4xVCR2/bW1tq3T8rrMekVdffRVt2rSBg4MDjhw5gnfffRexsbH45ptv7nkfyiH56KOPoPNohsuVf4rXd9ktBRpqHm0AY4vS69z7wRhjTIdVq0eEEk3nzZt3332uXLmCJk2a3LV9xYoVeOGFF5CZmQlTU1P97hFJiQIWtii9TpVNqcIplVh38JOzZYwxxli99ohUKxBJSEhAUlJxpc578Pf3h4lJcSnxMi5fvoxmzZohNDQUgYGBtf5CNFJhnrSiLfV80JDL6BWlt62fLAUdFHy43B24McYYY9qqzoZmnJ2dxakmzp07B0NDQ7i46HiuA02npfVdKOeDcj9y00pnu1C+h3qoZdRyWZvJGGOMaYI6yRE5evQojh8/jl69eomZM3SdElXHjRsHe3t76Kyj3wMHvwayE0u3WblJwy4048Vch187Y4wxpimBCOWA/PHHH5g9e7bI+fDz8xOByPTp06EzaETr1mnAsWFpgGFoJAUhFo5A0HApAPHuDBgq5G4tY4wxpl/Td2uDxuWI0FsVd7G0xHpqNDB4AdDuWen2rEQg9jzg14MLjTHGGNNb6ZowfVenJFyTAg86JV0v3W5sCeQkl163dJKqnjLGGGOsSjgQeRBKMP2+E6BSStcVpkDjflLOR0B/wKRMzQ/GGGOMVQsHImWl3QJCNkqLzA36WtpGs1xEL4dB6fouZhowTMQYY4zpAA5EMhOk4INWto0+UrzRAOj+BmDjIV19ai1gaChnKxljjDGdpL+ByNUdwJFvpeCDio2p0SwX6vkwsSzdxkEIY4wxVif0NxDJSweiDpWu7yJKrI8AbD3lbhljjDGmN/Q3EPHpAgxZBPh2k2qBMMYYY6ze6W8gQj0fbSfK3QrGGGNMr3HyA2OMMcZkw4EIY4wxxmTDgQhjjDHGZMOBCGOMMcZkw4EIY4wxxmTDgQhjjDHGZMOBCGOMMcZkw4EIY4wxxmTDgQhjjDHGZMOBCGOMMcZkw4EIY4wxxmTDgQhjjDHGZMOBCGOMMcZko9Gr76pUKnGenp4ud1MYY4wxVkXq47b6OK61gUhGRoY49/LykrspjDHGGKvBcdzW1va++xioqhKuyKSoqAi3b9+GtbU1DAwMaj1aowAnJiYGNjY2tfrYuobfq6rj96rq+L2qOn6vqo7fK814vyi0oCDEw8MDhoaG2tsjQo339PSs0+egN54/rFXD71XV8XtVdfxeVR2/V1XH75X879eDekLUOFmVMcYYY7LhQIQxxhhjstHbQMTU1BSzZs0S5+z++L2qOn6vqo7fq6rj96rq+L3SvvdLo5NVGWOMMabb9LZHhDHGGGPy40CEMcYYY7LhQIQxxhhjsuFAhDHGGGOy4UCEMcYYY7LhQATA0KFD4e3tDTMzM7i7u2P8+PGitDwrLzIyEs899xz8/Pxgbm6Ohg0bimlf+fn5cjdNI3322Wfo0qULLCwsYGdnJ3dzNM7ixYvh6+sr/t917NgRJ06ckLtJGufAgQMYMmSIKJNNy1xs3LhR7iZprLlz56J9+/ZiSRAXFxcMHz4cV69elbtZGmnJkiVo0aJFSTXVzp07Y/v27bK1hwMRAL169cKff/4pPrTr169HeHg4Ro8eLXezNE5oaKhY/2fZsmW4fPky5s+fj6VLl+K9996Tu2kaiQK0xx9/HP/73//kborGWbt2LaZPny4C2TNnzqBly5bo378/4uPj5W6aRsnKyhLvDQVt7P7279+Pl19+GceOHcN///2HgoIC9OvXT7yHrDxaOuXzzz/H6dOncerUKfTu3RvDhg0T3+uyoDoirLxNmzapDAwMVPn5+XI3ReN98cUXKj8/P7mbodFWrlypsrW1lbsZGqVDhw6ql19+ueS6UqlUeXh4qObOnStruzQZfV1v2LBB7mZojfj4ePGe7d+/X+6maAV7e3vVjz/+KMtzc49IBcnJyfj1119Fl7qxsbHczdF4aWlpcHBwkLsZTMt6iuiXWN++fcstcEnXjx49KmvbmG59NxH+fro/pVKJP/74Q/Qc0RCNHDgQKfbOO+/A0tISjo6OiI6OxqZNm+RuksYLCwvDt99+ixdeeEHupjAtkpiYKL78XF1dy22n63FxcbK1i+kOGkKeNm0aunbtimbNmsndHI108eJFWFlZidLuL774IjZs2ICgoCBZ2qKzgciMGTNEctf9TpTzoPbWW2/h7Nmz2LlzJxQKBSZMmEDDVtAH1X2vyK1btzBgwACRAzF58mToi5q8V4yx+kW5IpcuXRK/9FnlAgMDce7cORw/flzksU2cOBEhISGQg86uNZOQkICkpKT77uPv7w8TE5O7tt+8eRNeXl44cuSIbF1Vmvxe0Yyinj17olOnTli1apXoVtcXNflc0XtEv85SU1ProYXaMTRDM4nWrVsnZjao0RchvUfcG1k5CnLpV2vZ94zdberUqeIzRDOOaIYfqxoaGqWZkDQZob4ZQUc5OzuLU0279UheXh70QXXeK+oJoVlGbdu2xcqVK/UqCHnYzxWTUJBGn5/du3eXHFTp/xxdp4MIYzVBv6lfeeUVEazt27ePg5Bqov+Dch3zdDYQqSrqljp58iS6desGe3t7MXX3ww8/FJGhPvSGVAcFIdQT4uPjg6+++kr0Dqi5ubnJ2jZNRLlGlPxM55QTQd2gpFGjRmJsVp/R1F3qAWnXrh06dOiABQsWiGS5Z599Vu6maZTMzEyRi6UWEREhPkeUgEm1j1j54ZjffvtN9IZQLRF1vpGtra2oe8RKvfvuu3jsscfEZygjI0O8bxS8/fvvv5CFSs9duHBB1atXL5WDg4PK1NRU5evrq3rxxRdVN2/elLtpGjkNlT4ylZ3Y3SZOnFjpe7V37165m6YRvv32W5W3t7fKxMRETOc9duyY3E3SOPRZqewzRJ8tVt69vpvoe4uVN2nSJJWPj4/4v+fs7Kzq06ePaufOnSq56GyOCGOMMcY0n34N8DPGGGNMo3AgwhhjjDHZcCDCGGOMMdlwIMIYY4wx2XAgwhhjjDHZcCDCGGOMMdlwIMIYY4wx2XAgwhhjjDHZcCDCGGOMMdlwIMIYY4wx2XAgwhhjjDHI5f/3uSpmYRDy9gAAAABJRU5ErkJggg==", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = np.linspace(-3, 3, 400)\n", + "plt.plot(x, x**2, label=\"x²\")\n", + "plt.plot(x, np.gradient(x**2, x), '--', label=\"d/dx x²\")\n", + "x = np.linspace(0, 3, 400)\n", + "plt.plot(x, np.exp(x), label=\"exp(x)\")\n", + "plt.plot(x, np.gradient(np.exp(x), x), '--', label=\"d/dx exp(x)\")\n", + "\n", + "plt.plot(x, np.log(x+0.1), label=\"log(x)\")\n", + "plt.plot(x, np.gradient(np.log(x+0.1), x), '--', label=\"d/dx log(x)\")\n", + "\n", + "plt.legend()\n", + "plt.title(\"Functions and Their Derivatives\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DURup9u5il4-" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "w3QIKTZQf1ZK" + }, + "source": [ + "## 6. Gradient of Selected Functions" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Eeudgf3-f0Ie", + "outputId": "aeffb463-3230-4b98-8131-623b4fbf624c" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Function: f(x, y) = x**2*y + sin(y)\n", + "Partial derivative w.r.t x (∂f/∂x): 2*x*y\n", + "Partial derivative w.r.t y (∂f/∂y): x**2 + cos(y)\n" + ] + } + ], + "source": [ + "# search and learn more about sumpy\n", + "import sympy as sp\n", + "\n", + "# Define symbolic variables\n", + "x, y = sp.symbols('x y')\n", + "\n", + "# Define the function\n", + "f = x**2 * y + sp.sin(y)\n", + "\n", + "# Compute partial derivatives\n", + "df_dx = sp.diff(f, x)\n", + "df_dy = sp.diff(f, y)\n", + "\n", + "print(\"Function: f(x, y) =\", f)\n", + "print(\"Partial derivative w.r.t x (∂f/∂x):\", df_dx)\n", + "print(\"Partial derivative w.r.t y (∂f/∂y):\", df_dy)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wDlIJkmYimg9" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.7" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/Assignments/a0.3/function_rsayyareh.py b/a0.1/Assignments/a0.3/function_rsayyareh.py new file mode 100644 index 0000000..a13e32f --- /dev/null +++ b/a0.1/Assignments/a0.3/function_rsayyareh.py @@ -0,0 +1,26 @@ +# 1 +# f(f^(x)) = x f^: invers of f + +# 2 +# sin²(x) in ptython is sin(x)**2 +# linespace in numpy is similar to arange + +# 3 +# first line, 400 is the points between -1 and 1 and can not be more +# than 1, the 0.01 is good enough number to have an accurate plot. + +# 4 +# symbols could be inserted using ASCII code in text. + +# 5 +# derivativ of one variable function (y=f(x)) is +# the same as partial derivatives (gradient). + +# 6 +# symbolic gradient determination using sympy library + + + + + + diff --git a/a0.1/Assignments/a0.4/AI-DS_Nexus__A0_4__RezaShokr.ipynb b/a0.1/Assignments/a0.4/AI-DS_Nexus__A0_4__RezaShokr.ipynb new file mode 100644 index 0000000..16cc8e2 --- /dev/null +++ b/a0.1/Assignments/a0.4/AI-DS_Nexus__A0_4__RezaShokr.ipynb @@ -0,0 +1,263 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "A1k4HkdO05Yu" + }, + "source": [ + "# 📓 Assignment 4 — Linear Algebra Fundamentals\n", + "\n", + "*Vectors & Matrices for Everyday Coding*\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "mBNupqPj1B1_" + }, + "source": [ + "## Welcome back, intrepid coder! 🚀\n", + "In this notebook-styled brief you’ll move from single-direction vectors to multi-direction matrices—core tools behind graphics, robotics, optimisation and (of course) machine-learning. Each mini-section mixes quick notes, a tiny real-world scenario, and hands-on # TODO code shaped for beginners.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "zD-AyQCe1Y9e" + }, + "source": [ + "## 🧭 Vectors 101\n", + "\n", + "| Concept | Quick reminder |\n", + "|---------------------|--------------------------------------------------|\n", + "| Representation | 1-D NumPy array — `np.array([x, y, z])` |\n", + "| Length (norm) | `np.linalg.norm(v)` |\n", + "| Dot / inner product | `v.dot(w)` or `np.inner(v, w)` |\n", + "| Unit vector | `v / np.linalg.norm(v)` |\n" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "id": "AWVTIlQP0ysC" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Length of matrix v = 3\n" + ] + }, + { + "data": { + "text/plain": [ + "array([[[ 66., 78., 90.],\n", + " [ 147., 177., 207.],\n", + " [ 228., 276., 324.]],\n", + "\n", + " [[ 903., 969., 1035.],\n", + " [1146., 1230., 1314.],\n", + " [1389., 1491., 1593.]],\n", + "\n", + " [[2670., 2832., 2952.],\n", + " [3069., 3255., 3393.],\n", + " [3429., 3637., 3791.]]])" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Run once per session\n", + "import numpy as np\n", + "\n", + "# TODO 1: create a 3-D vector named v\n", + "# TODO 2: print its length\n", + "# TODO 3: build a second vector w and output the dot product\n", + "v = np.array([\n", + " [[1, 2, 3], [4, 5, 6], [7, 8, 9]],\n", + " [[10, 11, 12], [13, 14, 15], [16, 17, 18]],\n", + " [[19, 20, 21], [22, 23, 24], [24, 26, 27]]\n", + " ])\n", + "print(f\"Length of matrix v = {len(v)}\")\n", + "w = np.ones(27).reshape(3, 3, 3)\n", + "w += v * 2\n", + "v@w\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "c_iB5_0A1rg7" + }, + "source": [ + "### 🚁 Practical Scenario — “Drone hop”\n", + "A mini-drone lifts off at (2 m, 1 m) and lands at (7 m, 4 m).\n", + "Calculate its displacement vector, travel distance, and orientation along the x-axis." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "id": "Rq-tHCkF1x3p" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Displacement: [5 3]\n", + "Distance: 5.830951894845301\n", + "Unit direction: [0.85749293 0.51449576]\n", + "Dot-product with x-axis: 5\n" + ] + } + ], + "source": [ + "p_start = np.array([2, 1])\n", + "p_end = np.array([7, 4])\n", + "\n", + "# displacement\n", + "d = p_end - p_start # ➡️ vector from start to end\n", + "dist = np.linalg.norm(d) # 🏁 distance travelled\n", + "unit = d / dist # ↗️ unit direction\n", + "dot_x = d.dot(np.array([1, 0])) # projection on x-axis\n", + "\n", + "print(\"Displacement:\", d)\n", + "print(\"Distance:\", dist)\n", + "print(\"Unit direction:\", unit)\n", + "print(\"Dot-product with x-axis:\", dot_x)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "vqX_pXGq16Af" + }, + "source": [ + "## 🔢 Matrices 101\n", + "\n", + "| Operation | NumPy one-liner |\n", + "|------------------------|--------------------------------------------------|\n", + "| Transpose | `A.T` |\n", + "| Determinant | `np.linalg.det(A)` |\n", + "| Inverse | `np.linalg.inv(A)` (works only if `det(A) ≠ 0`) |\n", + "| Matrix-vector multiply | `A @ v` |\n", + "| Matrix-matrix multiply | `A @ B` |\n" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "id": "yycidpaj2BAv" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "A determinant is -2.0000000000000004\n", + "nInverse of A : [[-2. 1. ]\n", + " [ 1.5 -0.5]]\n" + ] + } + ], + "source": [ + "# TODO 4: build a 2×2 matrix A\n", + "# TODO 5: print its determinant\n", + "# TODO 6: if invertible, compute and print A_inv\n", + "A = np.array([[1, 2], [3, 4]])\n", + "det = np.linalg.det(A)\n", + "print(f\"A determinant is {det}\")\n", + "if det!=0:\n", + " A_inv = np.linalg.inv(A)\n", + " print(f\"nInverse of A : {A_inv}\")\n", + "else:\n", + " print(\"A has no inverse\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "C-ikgDhF2DFn" + }, + "source": [ + "### 🎯 Practical Scenario — “Rotate that hop”\n", + "Rotate the drone’s displacement vector 30° counter-clockwise, then verify that the inverse rotation brings it back." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "id": "SgmIesbf2G65" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Rotation matrix determinant: 1.0\n", + "Rotated vector: [2.83012702 5.09807621]\n", + "Back-rotated equals original? True\n" + ] + } + ], + "source": [ + "theta = np.deg2rad(30) # 🔄 convert degrees to radians\n", + "R = np.array([[np.cos(theta), -np.sin(theta)],\n", + " [np.sin(theta), np.cos(theta)]])\n", + "\n", + "det_R = np.linalg.det(R) # should be 1.0 (pure rotation)\n", + "\n", + "d_rot = R @ d # rotated displacement\n", + "d_back = np.linalg.inv(R) @ d_rot\n", + "\n", + "print(\"Rotation matrix determinant:\", det_R)\n", + "print(\"Rotated vector:\", d_rot)\n", + "print(\"Back-rotated equals original?\", np.allclose(d_back, d))\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.7" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/Assignments/a0.5/AI-DS_Nexus__A0_5__RezaShokr.ipynb b/a0.1/Assignments/a0.5/AI-DS_Nexus__A0_5__RezaShokr.ipynb new file mode 100644 index 0000000..3cfae4d --- /dev/null +++ b/a0.1/Assignments/a0.5/AI-DS_Nexus__A0_5__RezaShokr.ipynb @@ -0,0 +1,196 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "tacMQNsG2g5S" + }, + "source": [ + "# 📓 Assignment 5 — Probability\n", + "\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n", + "\n", + "## 🎲 Counting & Probability with Cards in Python 🃏\n", + "Learn factorials, combinations, and (conditional) probability — all in one simple card game simulation using only math and random modules." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "_cA_dWDJ2vfr" + }, + "source": [ + "## 🧮 PART 1: Factorial & Combinations\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "aIxoWeNt2ao0" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "6! = 720\n", + "Combinations (6 choose 3): 20\n" + ] + } + ], + "source": [ + "# ---- FACTORIAL & COMBINATIONS ----\n", + "\n", + "import math\n", + "print(\"6! =\", math.factorial(6))\n", + "print(\"Combinations (6 choose 3):\", math.comb(6, 3))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "pzy2xD3H3D3o" + }, + "source": [ + "## 🃏 PART 2: Simulating a Deck of Cards\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "eUvZhzYB2x4L" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Drawn cards: ['2 of Diamonds', '10 of Hearts']\n", + "52\n" + ] + } + ], + "source": [ + "# ---- PROBABILITY IN A DECK ----\n", + "\n", + "import random\n", + "\n", + "deck = [f\"{rank} of {suit}\" for suit in ['Hearts', 'Spades', 'Diamonds', 'Clubs']\n", + " for rank in range(1, 14)]\n", + "\n", + "# Draw 2 random cards\n", + "\n", + "draws = random.sample(deck, 2)\n", + "print(\"\\nDrawn cards:\", draws)\n", + "# print(len(deck))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "OidRYf9q3Mwj" + }, + "source": [ + "## 📊 PART 3: Basic Probability" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Ok5d99Ns3Oa7" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Probability both cards are Hearts: 0.0588\n" + ] + } + ], + "source": [ + "# PROBABILITY: What’s the chance that both cards are Hearts?\n", + "hearts = [card for card in deck if \"Hearts\" in card]\n", + "# print(len(hearts))\n", + "# print(len(deck))\n", + "\n", + "# Draw 2 random cards\n", + "\n", + "prob_both_hearts = math.comb(len(hearts), 2) / math.comb(len(deck), 2)\n", + "print(f\"Probability both cards are Hearts: {prob_both_hearts:.4f}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NMIA7c313Yum" + }, + "source": [ + "## 🔁 PART 4: Conditional Probability" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "id": "IZeCH8pw3aZX" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Conditional probability 2nd card is Heart given 1st is Heart: 0.2353\n" + ] + } + ], + "source": [ + "# ---- CONDITIONAL PROBABILITY ----\n", + "# P(A and B) / P(B): Probability second card is Heart given first was Heart\n", + "# A = both are hearts, B = first is heart\n", + "\n", + "p_a_and_b = math.comb(len(hearts), 2) / math.comb(len(deck), 2) # after one heart is drawn\n", + "p_b = 13 / 52\n", + "p_a_given_b = p_a_and_b / p_b\n", + "print(f\"Conditional probability 2nd card is Heart given 1st is Heart: {p_a_given_b:.4f}\")\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.7" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/Assignments/a0.6/AI-DS_Nexus__A0_6__RezaShokr.ipynb b/a0.1/Assignments/a0.6/AI-DS_Nexus__A0_6__RezaShokr.ipynb new file mode 100644 index 0000000..a64bc44 --- /dev/null +++ b/a0.1/Assignments/a0.6/AI-DS_Nexus__A0_6__RezaShokr.ipynb @@ -0,0 +1,225 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "Txr_tIDhHcu2" + }, + "source": [ + "# 📚 Assignment 06 — Descriptive Statistics\n", + "\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n", + "\n", + "\n", + "## 📘 Exploring Descriptive Statistics with NumPy & SciPy\n", + "This assignment guides you through generating random data, analyzing its statistical properties, and visualizing it using plots.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "x1gatSKSHYTm" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Generated Data: [37 30 35 34 38 37 30 38 27 30]\n" + ] + }, + { + "data": { + "text/plain": [ + "array([27, 30, 30, 30, 34, 35, 37, 37, 38, 38], dtype=int32)" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# 📦 Import Required Libraries\n", + "import numpy as np\n", + "import random\n", + "from scipy import stats\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# 🎲 Step 1: Generate Random Integer List\n", + "np.random.random(42) # For reproducibility\n", + "data = np.random.randint(20, 40, size=10)\n", + "print(\"Generated Data:\", data)\n", + "np.sort(data)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "cUfGpmVCHvR5" + }, + "source": [ + "### 📊 Step 2: Central Tendency and Quantiles\n", + "Let's compute basic statistics — mean, median, mode, and quantiles." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "id": "FkmPc2r7Htaz" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mean: 33.6\n", + "Median: 34.5\n", + "Mode: 30\n", + "Q1 (25%): 30.0\n", + "Q3 (75%): 37.0\n", + "34.5\n" + ] + } + ], + "source": [ + "# 📐 Central Tendency\n", + "# mean\n", + "mean_val = np.mean(data)\n", + "# median\n", + "median_val = np.median(data)\n", + "# mode\n", + "mode_val = stats.mode(data, keepdims=True).mode[0]\n", + "\n", + "# 📏 Quantiles\n", + "q1 = np.quantile(data, 0.25)\n", + "q3 = np.quantile(data, 0.75)\n", + "\n", + "print(f\"Mean: {mean_val}\")\n", + "print(f\"Median: {median_val}\")\n", + "print(f\"Mode: {mode_val}\")\n", + "print(f\"Q1 (25%): {q1}\")\n", + "print(f\"Q3 (75%): {q3}\")\n", + "print(np.quantile(data, 0.5))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "EBZ2KixtHztl" + }, + "source": [ + "### 🧪 Step 3: Skewness and Kurtosis\n", + "Skewness shows asymmetry, and kurtosis indicates the \"tailedness\" of the distribution." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "id": "XDwmqc3-H05I" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Skewness: 0.17\n", + "Kurtosis: -1.23\n" + ] + } + ], + "source": [ + "# 📉 Skewness and Kurtosis\n", + "skew_val = stats.skew(data)\n", + "kurtosis_val = stats.kurtosis(data)\n", + "\n", + "print(f\"Skewness: {skew_val:.2f}\")\n", + "print(f\"Kurtosis: {kurtosis_val:.2f}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "FOPw0-dSH250" + }, + "source": [ + "### 📈 Step 4: Visualization - Bar Chart and Boxplot\n", + "Visualize the data to better understand its distribution and spread." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "id": "Zfx5s6xLH1y8" + }, + "outputs": [ + { + "data": { + "image/png": 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joKhcisRaXHl4xx13rEnkNPWYvjzijcae0Gros5dXDBSVUHFxmZjUvbnil5grNar4oros5jCLqrNIokaVVcSgYiBaI0kpaCFiEsjaVSm/+93v8kEqAqy4MkdZHAgrpX///rm0PUqNa581Kpcax+tNDTDK73v22Wfzgbj2Gbz61vtZxRDFCAZistCYKDOSTzEhZwQdMdHmYYcdVrNsDClYVtHm+++/P3+ftaulYtLNJZer7/ny9kdSbVnPkDaH8tnVCF7LZ6absm82tB/EVX1iiEXtKwTGHxENXZ0QgLYXCzUl7og4Iv7IjyH6UfETQwHj+F6umimLWCOGdZWro0LEAKGhi8REdXRMYN3QsTpil3KSp6nxT5ExQFwgJY7pMWl3TA6+POLN6Ks4URpJwSXVFwPF9xHL1p4M/u23387xQHPGf8siYpWojKo97LCx8UtD+0FcgS+q2GOYau0L0cTVpaG1MqcUtABxJibmKojS8/JBOc76xAGt9uVho6w8LsNbKXvvvXduT+1L44a4+k20Na4eUxZBVGMTDLHet956K/32t7+tE5jGPFeR0ClfBrm5xJmoCAhi+GLtM2y1z6jF/+Ns7bKKbYptiCuylEXfxTbVFmck42pCkRCr3V9RnRT7RKynUiIQO/TQQ3MFWVzRqBxgNWXfbGg/iHUseQYz+sblkAHapvpiocbGHfHeqGyOoX5x7I6rm0ViI67YW5/a64tjUTyO6qDdd9+93uXjmBVXk7v99tvrDPGLz4hqoqg8isqXUE4iNSYGKjoGiKqcuFJe9E/EXcsj3oz1RRIn3h9TI5TF1fTKlWxl5e2bMGFCnefLV1Bc8sp/RXrmmWdyNVQMTYwrOTY1fmloP6gv5oz5zKJKDVorlVJQhWJizvJZvrgMcgQ0cZbozDPPrAlq4kAcB+WYmDIm0YzlYlLQGEIVZwMrIS67G6X1kaCIgGXw4ME5aIogLQ7ctSe+HDJkSD67GdsQQWKU0JcnnlzSsccemy+rHAHlk08+mc9Uxpmov/zlLzlQWXIuic8qgtgoxY62RaARw/Wi7aeddloeshffQZw5/CxzEURfxeWc4zuNvorJOeOsWH1zBcSk69GmKAOPycrLl4OOs7sxcWsRYrtjotnyGeq4rPHNN9+cg9aYcDSqysqasm82tB/EEMqYbDW2Mfrm0UcfzcuVLycNQOvWmFiosXFHeT6kqFCOmCEm3475lGLeni9/+ct1kjtRFXT33Xfnapc4HkU7YkLt73znO5+YL7K2+IyooI4EVEykHhczidgl5mC64IILapaLJFMkHs4///x8zI/qo5iIu6F5O4uOAb797W+nm266KcdXUTm1POLNcePG5T6O+ayir8onGmNIZu11xvcZ38Mvf/nLmmFtjz/+eE7SxXDD+O6LEEMYo9opEktx0jLiz5hjNL6DqCyLOa7KGhu/NLQfxEV0ItEV2x0T8UdCMNbXHNMtQNWq9OX/gKVfBjkumRuXA77sssvyZYlru+qqq0oDBgzIl0keOHBgfn9cnnjJH+14fPzxxze6Hbvssktp0003/dTl4tLJcQne2ubNm1c65ZRTSn369CmtuOKKuX0/+clPPtH2F198MV8iOS7TG+2LdS3N22+/XTriiCNKvXr1ypcb3nzzzfP2LinaE5duboylLRuXnY52lT8jLlW8xx57lFZeeeXchmOOOabmMse12xHb0bVr10+sr77vJS7vfOihh5a6d+9e6tGjR/7/008//Yl1hvvuu6+0ww475P6K5UeOHJnbVN9n1L5k9dLa1NjvuXyZ5bjFpaLj8+N90QePPfZYve9p7L7Z0H7w7rvv1nzf0efDhw/Py0ZbPm1fAaDtxEKfFnc8+eSTpQ4dOpROPPHEOu/7z3/+U9pqq63y++KYU/t4OXPmzNKwYcNKXbp0Ka255pr5+LVo0aI67492xfO1PfXUU/l4FceteO+uu+5aeuSRRz6xjVdeeWVpvfXWK62wwgp5PQ888MBS+6QxMUCsI9Z18803f2off9qyQ4cOzZ8zZ86cZok36zt2T5kypTRkyJAc00VfXH755fWu8+OPPy6NGzeutO666+bvt1+/fqWxY8eWPvzww0bFdPW16dVXX83Px37SmH4q3+LzV1999Ry3nHvuuaV33nnnE+9pSvzS0H7wl7/8pbTtttvm7zv2z9NPP710zz33NGpfgZaoXfxT6cQYAABAJUVFdlRil+esAmD5M6cUAAAAAIWTlAIAAACgcJJSAAAAABTOnFIAAAAAFE6lFAAAAACFk5QCAAAAoHAdUiu3ePHi9Oabb6Zu3bqldu3aVbo5AEAbETMkzJs3L/Xp0ye1b1+Z84DiIACgmuOgVp+UikCsX79+lW4GANBGzZo1K/Xt27ciny0OAgCqOQ5q9UmpODNY7oju3btXujkAQBsxd+7cnBAqxyKVIA4CAKo5Dmr1SalyqXoEYoIxAKBolRw2Jw4CAKo5DjLROQAAAACFk5QCAAAAoHCSUgAAAAAUTlIKAAAAgMJJSgEAAABQOEkpAAAAAAonKQUAAABA4SSlAAAAACicpBQAAAAAhZOUAgAAAKBwklIAAAAAFE5SCgAAAIDCdSj+I4G2ap0z70zV7LXz9ql0E2il+1awfwEAQF0qpQAAAAAonKQUAAAAAIWTlAIAAACgcJJSAAAAABROUgoAAACAwklKAQAAAFC4DsV/ZOtU7ZcjdylyaDs/78HPPAAAUO1USgEAAABQOEkpAAAAAAonKQUAAABA4SSlAAAAACicpBQAAAAAhZOUAgAAAKBwklIAAAAAFE5SCgAAAIDCSUoBAAAAUDhJKQAAAADaVlLqsssuS4MGDUrdu3fPt+222y7dddddNa8PHTo0tWvXrs7t61//eiWbDAAAAEAz6JAqqG/fvum8885LAwYMSKVSKV1zzTVp3333TU8//XTadNNN8zLHHHNMOuecc2re06VLlwq2GAAAAIAWn5QaOXJkncfnnnturp6aOnVqTVIqklC9e/euUAsBAAAAaNVzSi1atCjdeOONaf78+XkYX9n111+fevXqlTbbbLM0duzYtGDBgoq2EwAAAIAWXikVnnvuuZyE+vDDD9PKK6+cbr311rTJJpvk1w466KDUv3//1KdPn/Tss8+mM844I7300kvp97//fYPrW7hwYb6VzZ07t5DtAAAAAKAFJaU22mijNG3atPTee++lW265JY0ZMyZNmTIlJ6aOPfbYmuU233zztNZaa6Xdd989zZw5M62//vr1rm/8+PFp3LhxBW4B1WqdM+9M1ey18/apdBMAAACg7Q7f69ixY9pggw3SkCFDckJp8ODB6ZJLLql32W222Sbfz5gxo8H1xRC/SHCVb7NmzVpubQcAAACghVZKLWnx4sV1ht/VFhVVISqmGtKpU6d8AwAAAKB6VTQpFVVNI0aMSGuvvXaaN29euuGGG9KDDz6Y7rnnnjxELx7vvffeabXVVstzSp1yyilp5513ToMGDapkswEAAABoyUmpd955Jx122GFp9uzZqUePHjnZFAmpPffcMw+7u++++9KECRPyFfn69euXRo8enc4666xKNhkAAACAlp6Uuuqqqxp8LZJQMeE5AAAAAK1PxSc6BwAAAKDtqbqJzoG61jnzzlTtXjtvn0o3AQAAgBZGpRQAAAAAhZOUAgAAAKBwklIAAAAAFE5SCgAAAIDCSUoBAAAAUDhJKQAAAAAKJykFAAAAQOEkpQAAAAAonKQUAAAAAIWTlAIAAACgcJJSAAAAABROUgoAAACAwklKAQAAAFA4SSkAAAAACicpBQAAAEDhJKUAAAAAKJykFAAAAACFk5QCAAAAoHCSUgAAAAAUTlIKAAAAgMJJSgEAAABQOEkpAAAAAAonKQUAAABA4SSlAAAAACicpBQAAAAAbSspddlll6VBgwal7t2759t2222X7rrrrprXP/zww3T88cen1VZbLa288spp9OjR6e23365kkwEAAABo6Umpvn37pvPOOy89+eST6Yknnki77bZb2nfffdMLL7yQXz/llFPSHXfckW6++eY0ZcqU9Oabb6b999+/kk0GAAAAoBl0SBU0cuTIOo/PPffcXD01derUnLC66qqr0g033JCTVWHSpElp4403zq9vu+22FWo1AAAAAK1mTqlFixalG2+8Mc2fPz8P44vqqY8//jjtscceNcsMHDgwrb322unRRx+taFsBAAAAaMGVUuG5557LSaiYPyrmjbr11lvTJptskqZNm5Y6duyYVllllTrLr7nmmumtt95qcH0LFy7Mt7K5c+cu1/YDAAAA0AKTUhtttFFOQL333nvplltuSWPGjMnzRy2r8ePHp3HjxjVrG9uSdc68M1W7187bp9JNgFaj2n/m/by3XNW+bwX7FwBAGx++F9VQG2ywQRoyZEhOKA0ePDhdcsklqXfv3umjjz5Kc+bMqbN8XH0vXmvI2LFjc4KrfJs1a1YBWwEAAABAi0pKLWnx4sV5+F0kqVZcccV0//3317z20ksvpddffz0P92tIp06dUvfu3evcAAAAAKguFR2+F1VNI0aMyJOXz5s3L19p78EHH0z33HNP6tGjRzrqqKPSqaeemnr27JmTSyeeeGJOSLnyHgAAAEDLVtGk1DvvvJMOO+ywNHv27JyEGjRoUE5I7bnnnvn1iy++OLVv3z6NHj06V08NHz48/eIXv6hkkwEAAABo6Umpq666aqmvd+7cOU2cODHfAAAAAGg9qm5OKQAAAABaP0kpAAAAAAonKQUAAABA4SSlAAAAACicpBQAAAAAhZOUAgAAAKBwklIAAAAAFE5SCgAAAIDCSUoBAAAAUDhJKQAAAAAKJykFAAAAQOEkpQAAAAAonKQUAAAAAIWTlAIAAACgcJJSAAAAABROUgoAAACAwklKAQAAAFC4DsV/JADQkHXOvDNVs9fO26fSTQAAoJVQKQUAAABA4SSlAAAAACicpBQAAAAAhZOUAgAAAKBwklIAAAAAFE5SCgAAAIDCSUoBAAAAUDhJKQAAAAAKJykFAAAAQOEkpQAAAABoW0mp8ePHp6222ip169YtrbHGGmnUqFHppZdeqrPM0KFDU7t27ercvv71r1eszQAAAAC08KTUlClT0vHHH5+mTp2a7r333vTxxx+nYcOGpfnz59dZ7phjjkmzZ8+uuV1wwQUVazMAAAAAn12HVEF33313nceTJ0/OFVNPPvlk2nnnnWue79KlS+rdu3cFWggAAABAq59T6r333sv3PXv2rPP89ddfn3r16pU222yzNHbs2LRgwYIG17Fw4cI0d+7cOjcAAAAAqktFK6VqW7x4cTr55JPTDjvskJNPZQcddFDq379/6tOnT3r22WfTGWeckeed+v3vf9/gPFXjxo0rsOUAAAAAtNikVMwt9fzzz6c///nPdZ4/9thja/6/+eabp7XWWivtvvvuaebMmWn99df/xHqikurUU0+teRyVUv369VvOrQcAAACgxSWlTjjhhPTHP/4xPfTQQ6lv375LXXabbbbJ9zNmzKg3KdWpU6d8AwAAAKB6VTQpVSqV0oknnphuvfXW9OCDD6Z11133U98zbdq0fB8VUwAAAAC0TB0qPWTvhhtuSLfffnvq1q1beuutt/LzPXr0SCuttFIeohev77333mm11VbLc0qdcsop+cp8gwYNqmTTAQAAAGipSanLLrss3w8dOrTO85MmTUqHH3546tixY7rvvvvShAkT0vz58/PcUKNHj05nnXVWhVoMAAAAQKsYvrc0kYSaMmVKYe0BAAAAoBjtC/ocAAAAAKghKQUAAABA4SSlAAAAACicpBQAAAAAhZOUAgAAAKBwklIAAAAAFE5SCgAAAIDCSUoBAAAAULgOxX8kAADQFrzyyitp3rx5lW4GwHLVrVu3NGDAgEo3o0WSlAIAAJZLQmrDDTesdDOg6vVeuV06bkjHdMWTH6W33i9Vujkso5dfflliahlISgEAAM2uXCF13XXXpY033rjSzYGqtdKcl9PGDx2XDvz+5PTBKhK5Lc306dPTIYccoip0GUlKAQAAy00kpLbYYotKNwOq15vtU3oopY0HDkypz+cr3RoolInOAQAAACicpBQAAAAAhZOUAgAAAKBlJKX+85//pPvuuy9dccUVNZN5vfnmm+n9999v7vYBAAAA0Ao1eaLzv/3tb2mvvfZKr7/+elq4cGHac889U7du3dL555+fH19++eXLp6UAAAAAtN1KqZNOOiltueWW6d13300rrbRSzfP77bdfuv/++5u7fQAAAAC0Qk2ulHr44YfTI488kjp27Fjn+XXWWSf9/e9/b862AQAAANBKNblSavHixWnRokWfeP6NN97Iw/gAAGg7FixYkJ566ql8DwBUvwVVdOxuclJq2LBhacKECTWP27Vrlyc4P/vss9Pee+/d3O0DAKCKvfjii2nIkCH5HgCofi9W0bG7ycP3LrzwwjR8+PC0ySabpA8//DAddNBB6ZVXXkm9evVKv/nNb5ZPKwEAAABoVZqclOrbt2965pln0o033pieffbZXCV11FFHpYMPPrjOxOcAAAAA0GxJqfymDh3SIYccsixvBQAAAICmJ6Wuvfbapb5+2GGHfZb2AAAAANAGNDkpddJJJ9V5/PHHH+cZ2zt27Ji6dOkiKQUAAABA81997913361zizmlXnrppbTjjjua6BwAAACA5ZOUqs+AAQPSeeed94kqqk8zfvz4tNVWW6Vu3bqlNdZYI40aNSonuGqLK/wdf/zxabXVVksrr7xyGj16dHr77bebo9kAAFXtoYceSiNHjkx9+vRJ7dq1S7fddlulmwQAUF1JqfLk52+++WaT3jNlypSccJo6dWq6995781DAYcOGpfnz59csc8opp6Q77rgj3XzzzXn5+Iz999+/uZoNAFC1IiYaPHhwmjhxYqWbAgBQ+Tml/vCHP9R5XCqV0uzZs9PPf/7ztMMOOzRpXXfffXedx5MnT84VU08++WTaeeed03vvvZeuuuqqdMMNN6TddtstLzNp0qS08cYb50TWtttu29TmAwC0GCNGjMg3AIDWqMlJqRhiV1uUkq+++uo5aXThhRd+psZEEir07Nkz30dyKqqn9thjj5plBg4cmNZee+306KOP1puUWrhwYb6VzZ079zO1CQAAAIAqSEotXrx4OTTj/1/vySefnKutNttss/zcW2+9la/qt8oqq9RZds0118yvNTRP1bhx45ZLGwEAqlklTs598MEH+X769OnL/bNoWcr7RHkfAWiNWuJxcHoV/X5uclJqeYm5pZ5//vn05z//+TOtZ+zYsenUU0+tE4z169evGVoIAFDdKnFy7rXXXsv3hxxySKGfS8sR+0hTp/kAaCla8nHwtSr4/dyopFTtJM+nueiii5rciBNOOCH98Y9/zFeY6du3b83zvXv3Th999FGaM2dOnWqpuPpevFafTp065RsAQFtTiZNz66yzTr6/7rrr8ryfUPtMfPyRVt5HAFqjlngcnF5Fv58blZR6+umnG7WymF+qKWKS9BNPPDHdeuut6cEHH0zrrrtundeHDBmSVlxxxXT//fen0aNH5+deeuml9Prrr6ftttuuSZ8FANDaVeLk3EorrZTvIxDfYostCv1sWobyPgLQGrXk4+BKVfD7uVFJqQceeGC5DdmLK+vdfvvtqVu3bjXzRPXo0SN3TtwfddRR+YxfTH7evXv3nMSKhJQr7wEArd3777+fZsyYUfP41VdfTdOmTctxUVz4BQCgJavonFKXXXZZvh86dGid5ydNmpQOP/zw/P+LL744tW/fPldKxcSdw4cPT7/4xS8q0l4AgCI98cQTadddd615XB6aN2bMmDR58uQKtgwAoEJJqQiQbrrppjyMLuZ8qu33v/99k4bvfZrOnTuniRMn5hsAQFsSJ+4aEy8BALRE7Zv6hhtvvDFtv/32eWKsmAvq448/Ti+88EL605/+lIfbAQAAAECzJ6V+/OMf5yF1d9xxR+rYsWO65JJL0osvvpgOOOAAcxsAAAAAsHySUjNnzkz77LNP/n8kpebPn5+vunfKKaekX/7yl01dHQAAAABtUJOTUquuumqaN29e/v/nPve59Pzzz+f/z5kzJy1YsKD5WwgAAABA201KlZNPO++8c7r33nvz/7/yla+kk046KR1zzDHpa1/7Wtp9992XX0sBAAAAaHtX3xs0aFDaaqut0qhRo3IyKnz3u99NK664YnrkkUfS6NGj01lnnbU82woAAABAW0tKTZkyJU2aNCmNHz8+nXvuuTkJdfTRR6czzzxz+bYQAICqNXDgwPTkk0/mewCg+g2somN3o4fv7bTTTunqq69Os2fPTpdeeml67bXX0i677JI23HDDdP7556e33npr+bYUAICq06VLl7TFFlvkewCg+nWpomN3kyc679q1azriiCNy5dTLL7+ch/JNnDgxrb322ulLX/rS8mklAAAAAK1Kk5NStW2wwQbpO9/5Tp5Lqlu3bunOO+9svpYBAAAA0Go1ek6pJT300EN5ON/vfve71L59+3TAAQeko446qnlbBwAAAECr1KSk1JtvvpkmT56cbzNmzEjbb799+tnPfpYTUjGsDwAAAACaNSk1YsSIdN9996VevXqlww47LB155JFpo402auzbAQAAAKDpSakVV1wx3XLLLemLX/xiWmGFFRr7NgAAAABY9qTUH/7wh8YuCgAAAADLZ6JzAACAhixYsCDfP/XUU5VuClS1lea8nDZOKU1/8cX0wVuLK90cmmj69OmVbkKLJikFAAA0uxdffDHfH3PMMZVuClS13iu3S8cN6ZiuuPCg9Nb7pUo3h2XUrVu3SjehRZKUAgAAmt2oUaPy/cCBA1OXLl0q3Ryoel+qdAP4TAmpAQMGVLoZLZKkFAAA0Oziqt1HH310pZsBQBVrX+kGAAAAAND2SEoBAAAAUDhJKQAAAAAKJykFAAAAQOEkpQAAAAAonKQUAAAAAIWTlAIAAACgcJJSAAAAALStpNRDDz2URo4cmfr06ZPatWuXbrvttjqvH3744fn52re99tqrYu0FAAAAoBUkpebPn58GDx6cJk6c2OAykYSaPXt2ze03v/lNoW0EAAAAoPl1SBU0YsSIfFuaTp06pd69exfWJgAAAACWv6qfU+rBBx9Ma6yxRtpoo43SN77xjfSvf/1rqcsvXLgwzZ07t84NAAAAgOpS1UmpGLp37bXXpvvvvz+df/75acqUKbmyatGiRQ2+Z/z48alHjx41t379+hXaZgAAAACqfPjep/nqV79a8//NN988DRo0KK2//vq5emr33Xev9z1jx45Np556as3jqJSSmAIAAACoLlVdKbWk9dZbL/Xq1SvNmDFjqXNQde/evc4NAAAAgOrSopJSb7zxRp5Taq211qp0UwAAAABoqcP33n///TpVT6+++mqaNm1a6tmzZ76NGzcujR49Ol99b+bMmen0009PG2ywQRo+fHglmw0AAABAS05KPfHEE2nXXXeteVyeC2rMmDHpsssuS88++2y65ppr0pw5c1KfPn3SsGHD0g9/+MM8RA8AAACAlquiSamhQ4emUqnU4Ov33HNPoe0BAAAAoBgtak4pAAAAAFoHSSkAAAAACicpBQAAAEDhJKUAAAAAKJykFAAAAACFk5QCAAAAoHCSUgAAAAAUTlIKAAAAgMJJSgEAAABQOEkpAAAAAAonKQUAAABA4SSlAAAAACicpBQAAAAAhZOUAgAAAKBwklIAAAAAFE5SCgAAAIDCSUoBAAAAUDhJKQAAAAAKJykFAAAAQOEkpQAAAAAonKQUAAAAAIWTlAIAAACgcJJSAAAAABROUgoAAACAwklKAQAAAFA4SSkAAAAACicpBQAAAEDbSko99NBDaeTIkalPnz6pXbt26bbbbqvzeqlUSt///vfTWmutlVZaaaW0xx57pFdeeaVi7QUAAACgFSSl5s+fnwYPHpwmTpxY7+sXXHBB+tnPfpYuv/zy9Nhjj6WuXbum4cOHpw8//LDwtgIAAADQfDqkChoxYkS+1SeqpCZMmJDOOuustO++++bnrr322rTmmmvmiqqvfvWrBbcWAAAAgFY/p9Srr76a3nrrrTxkr6xHjx5pm222SY8++miD71u4cGGaO3dunRsAAAAA1aVqk1KRkApRGVVbPC6/Vp/x48fn5FX51q9fv+XeVgAAAABaSVJqWY0dOza99957NbdZs2ZVukkAAAAAtJSkVO/evfP922+/Xef5eFx+rT6dOnVK3bt3r3MDAAAAoLpUbVJq3XXXzcmn+++/v+a5mB8qrsK33XbbVbRtAAAAALTgq++9//77acaMGXUmN582bVrq2bNnWnvttdPJJ5+cfvSjH6UBAwbkJNX3vve91KdPnzRq1KhKNhsAAACAlpyUeuKJJ9Kuu+5a8/jUU0/N92PGjEmTJ09Op59+epo/f3469thj05w5c9KOO+6Y7r777tS5c+cKthoAAACAFp2UGjp0aCqVSg2+3q5du3TOOefkGwAAAACtR9XOKQUAAABA6yUpBQAAAEDhJKUAAAAAKJykFAAAAACFk5QCAAAAoHCSUgAAAAAUTlIKAAAAgMJJSgEAAABQOEkpAAAAAAonKQUAAABA4SSlAAAAACicpBQAAAAAhZOUAgAAAKBwklIAAAAAFE5SCgAAAIDCSUoBAAAAUDhJKQAAAAAKJykFAAAAQOEkpQAAAAAonKQUAAAAAIWTlAIAAACgcJJSAAAAABROUgoAAACAwklKAQAAAFA4SSkAAAAACicpBQAAAEDhJKUAAAAAKFxVJ6V+8IMfpHbt2tW5DRw4sNLNAgAAAOAz6pCq3Kabbpruu+++mscdOlR9kwEAAAD4FFWf4YkkVO/evSvdDAAAAADayvC98Morr6Q+ffqk9dZbLx188MHp9ddfr3STAAAAAGjNlVLbbLNNmjx5ctpoo43S7Nmz07hx49JOO+2Unn/++dStW7d637Nw4cJ8K5s7d26BLQYAAACgxSelRowYUfP/QYMG5SRV//7900033ZSOOuqoet8zfvz4nLwCAAAAoHpV/fC92lZZZZW04YYbphkzZjS4zNixY9N7771Xc5s1a1ahbQQAAACglSWl3n///TRz5sy01lprNbhMp06dUvfu3evcAAAAAKguVZ2UOu2009KUKVPSa6+9lh555JG03377pRVWWCF97Wtfq3TTAAAAAGitc0q98cYbOQH1r3/9K62++uppxx13TFOnTs3/BwAAAKDlquqk1I033ljpJgAAAADQ1obvAQAAANA6SUoBAAAAUDhJKQAAAAAKJykFAAAAQOEkpQAAAAAonKQUAAAAAIWTlAIAAACgcJJSAAAAABROUgoAAACAwklKAQAAAFA4SSkAAAAACicpBQAAAEDhJKUAAAAAKJykFAAAAACFk5QCAAAAoHCSUgAAAAAUTlIKAAAAgMJJSgEAAABQOEkpAAAAAAonKQUAAABA4SSlAAAAACicpBQAAAAAhZOUAgAAAKBwklIAAAAAFE5SCgAAAIDCSUoBAAAAUDhJKQAAAAAK1yKSUhMnTkzrrLNO6ty5c9pmm23S448/XukmAQAAANCak1K//e1v06mnnprOPvvs9NRTT6XBgwen4cOHp3feeafSTQMAAACgtSalLrroonTMMcekI444Im2yySbp8ssvT126dElXX311pZsGAAAAQGtMSn300UfpySefTHvssUfNc+3bt8+PH3300Yq2DQAAAIBl1yFVsX/+859p0aJFac0116zzfDx+8cUX633PwoUL863svffey/dz585drm1dvHBBqmaN3f5q347WtC2tZTta07a0lu1oTdvSWrajNW1La9mOImKD8vpLpVKqlPJnL+9tBQBYljioqpNSy2L8+PFp3Lhxn3i+X79+qS3rMSG1Gq1lW1rLdrSmbWkt29GatqW1bEdr2pbWsh1Fbsu8efNSjx49ivmwej47tPU4CACojE+Lg6o6KdWrV6+0wgorpLfffrvO8/G4d+/e9b5n7NixeWL0ssWLF6d///vfabXVVkvt2rVLLSWjGMHjrFmzUvfu3SvdHHwnVcl3Un18J9XHd1JZcWYwArE+ffpUrA3x2fH9d+vWrcXEQUXws1EM/VwM/VwM/VwM/dx6+rmxcVBVJ6U6duyYhgwZku6///40atSomiRTPD7hhBPqfU+nTp3yrbZVVlkltUSxc/hBrC6+k+rjO6k+vpPq4zupnEpVSNWei7Nv374VbUM187NRDP1cDP1cDP1cDP3cOvq5MXFQVSelQlQ9jRkzJm255ZZp6623ThMmTEjz58/PV+MDAAAAoGWq+qTUgQcemP7xj3+k73//++mtt95Kn//859Pdd9/9icnPAQAAAGg5qj4pFWKoXkPD9VqjGH549tlnf2IYIpXjO6k+vpPq4zupPr4TqJ+fjWLo52Lo52Lo52Lo57bXz+1KlbxOMQAAAABtUvtKNwAAAACAtkdSCgAAAIDCSUoBAAAAUDhJqSozceLEtM4666TOnTunbbbZJj3++OOVblKbNn78+LTVVlulbt26pTXWWCONGjUqvfTSS5VuFv/Xeeedl9q1a5dOPvnkSjelzfv73/+eDjnkkLTaaqullVZaKW2++ebpiSeeqHSz2qxFixal733ve2ndddfN38f666+ffvjDHybTSNKWNOYYHld2PvTQQ1Pv3r1T165d0xZbbJF+97vfVazNLdFll12WBg0alLp3755v2223XbrrrrtqXv/www/T8ccfn48PK6+8cho9enR6++23K9rm1tbP//73v9OJJ56YNtpoo/w7f+21107f+ta30nvvvVfpZre6/bksjqcjRozIcehtt91Wkba29n5+9NFH02677ZZ/N8cyO++8c/rggw8q1ubW2M9vVckxUFKqivz2t79Np556ap4F/6mnnkqDBw9Ow4cPT++8806lm9ZmTZkyJQdSU6dOTffee2/6+OOP07Bhw9L8+fMr3bQ273/+53/SFVdckX/RUlnvvvtu2mGHHdKKK66YD3R//etf04UXXphWXXXVSjetzTr//PNzIPLzn/88TZ8+PT++4IIL0qWXXlrppkFVHcMPO+ywnKj6wx/+kJ577rm0//77pwMOOCA9/fTTFW17S9K3b998kujJJ5/MJyPij8h99903vfDCC/n1U045Jd1xxx3p5ptvzt/Jm2++mfuZ5uvn6NO4/fSnP03PP/98mjx5crr77rvTUUcdVelmt7r9uWzChAk5IcXy6edISO211175d3YUaUTcf8IJJ6T27aUvmrOfq+YYGFffozpsvfXWpeOPP77m8aJFi0p9+vQpjR8/vqLt4v955513osygNGXKlEo3pU2bN29eacCAAaV77723tMsuu5ROOumkSjepTTvjjDNKO+64Y6WbQS377LNP6cgjj6zz3P777186+OCDK9YmqMZjeNeuXUvXXnttneV69uxZuvLKKyvQwtZj1VVXLf3qV78qzZkzp7TiiiuWbr755prXpk+fnr+HRx99tKJtbE39XJ+bbrqp1LFjx9LHH39ceLtaez8//fTTpc997nOl2bNn53351ltvrWj7WmM/b7PNNqWzzjqr0k1q9f3ctUqOgVKNVeKjjz7KGcw99tij5rnIBMfjyBRTHcpl0D179qx0U9q0OPO9zz771Pl5oXLi7MqWW26ZvvKVr+QhMl/4whfSlVdeWelmtWnbb799uv/++9PLL7+cHz/zzDPpz3/+cx5qAG1Vfcfw+FmJSvUY/rR48eJ044035uFmQ4cOrWBLW/bQ4ejDqEaLYSIR20aFWu3j9cCBA/PwMvFt8/VzQ/t7DNfp0KFD4e1rzf28YMGCdNBBB+UpV2LIE83fzzFK6LHHHssxZfyOXnPNNdMuu+yS4xiad3+ulmOg31JV4p///GfeUeKHrrZ4/OKLL1asXfw/8YMacxfFMKXNNtus0s1ps+KXZQxvjTJeqsP//u//5qFiMfz4O9/5Tv5uYi6Ljh07pjFjxlS6eW3SmWeemebOnZv/+FthhRXy8eXcc89NBx98cKWbBlV1DL/pppvSgQcemOc7ij/eu3Tpkm699da0wQYbVLS9LU0M+4g/cuKPmZg3Kvpwk002SdOmTcvHglVWWeUT8W3MZULz9HN9f1fEPILHHntsRdrZmvs5hqPGH/IxBIrl088x5Dr84Ac/yENSP//5z6drr7027b777nl46oABAyrd9FazP99UJcdASSloQnVO/CKUpa+cWbNmpZNOOinPDRIXA6B6/tiLSqkf//jH+XFUSsXPyuWXXy4pVSERZFx//fXphhtuSJtuumn+wzD+IO/Tp4/vhDapoWN4XBBgzpw56b777ku9evXKExbHfBoPP/xwvmADjRMTbMfvmajOueWWW/LvmZg/imL6uXZiKk5IRDV5PBd/1NN8/Txjxoz0pz/9yZxzy7mfI64Mxx13XDriiCNqYsuoAL/66qvzRSxont8b1XIMbBdj+Ar7NJY6fC8yk7GjxNVhymKniR3l9ttvr2j72rqYWC++g4ceeihfzYrKiF+U++23X678KIsKkJhoMoa7Lly4sM5rFKN///5pzz33TL/61a9qnovKqR/96Ef5qnwUr1+/frlaKv4QL4vv47rrrlN9S5vT0DF85syZ+WxwJKsieVsWQ83i+Uiss2yiD+Oqn3EGPqob4oIYtaul4rgRifKoOuGz93Nc+CXMmzcvXyQp/qb44x//6AReM/dzXNnwZz/7WZ3JtiMOjcc77bRTevDBByvaztbSzxG/rLfeeunXv/51vrJzWfw+iWqeOOnGZ+/n008/vWqOgeaUqhJR2jxkyJCcAS6LLHE8bmisOMtf5GwjmI0yxjgzIiFVWRHYRglqZPvLt6jQiSFJ8X8JqcqI4TBLXmY95jKKPzqojJjzYskr1MTPR/nsI7QFn3YMj5+T4Gel+UX/xYmiiG3jyqy149s4Xrz++uvi22bs53KFVFypLP6miLkeJaSav58jWfLss8/WiUPDxRdfnCZNmlTpZraafl5nnXVyZbfYcvn2czUdAw3fqyIxH0tURsUf2VtvvXW+1GhMRFYuW6R4UWUQw1/iDGu3bt1q5j/o0aNHPltCseI7WHI+r65du+Zx0Ob5qpzy/AoxfC9KfuPSvb/85S/zjcoYOXJknkMqJhOOs18x1OCiiy5KRx55ZKWbBlVzDI851+JscAwRiXlL4lgSFbkxRDyqTGicsWPH5osoxO+bqNSJPo+KkXvuuSf39VFHHZVj3JhgPibePvHEE3NCatttt61001tNP5cTUvFHZlTExuO4hdVXX91Ju2bq55jYvL7JzWNZJ66br59jBMS3v/3tdPbZZ6fBgwfnOaWuueaaXOkdo4ponn6uqmNgodf641NdeumlpbXXXjtfwnXrrbcuTZ06tdJNatPiR6S+26RJkyrdNP6vXXbZpXTSSSdVuhlt3h133FHabLPNSp06dSoNHDiw9Mtf/rLSTWrT5s6dm38u4njSuXPn0nrrrVf67ne/W1q4cGGlmwZVdQx/+eWXS/vvv39pjTXWKHXp0qU0aNCgT1wem6U78sgjS/3798+x6+qrr17afffdS//93/9d8/oHH3xQ+uY3v5kvQx59vN9++5Vmz55d0Ta3tn5+4IEHGtzfX3311Uo3vVXtz0uKPr711lsLbWNb6efx48eX+vbtm39vbLfddqWHH364Yu1trf38cpUcA80pBQAAAEDhzCkFAAAAQOEkpQAAAAAonKQUAAAAAIWTlAIAAACgcJJSAAAAABROUgoAAACAwklKAQAAAFA4SSkAAAAACicpBbAU7dq1S7fddlulmwEAUKihQ4emk08+udLNAFo5SSmg1Tr88MPTqFGjKt0MAIBCjRw5Mu211171vvbwww/nk27PPvts4e0CWJKkFAAAQCty1FFHpXvvvTe98cYbn3ht0qRJacstt0yDBg2qSNsAapOUAtpMCfq3vvWtdPrpp6eePXum3r17px/84Ad1lnnllVfSzjvvnDp37pw22WSTHMwtadasWemAAw5Iq6yySl7Pvvvum1577bX82osvvpi6dOmSbrjhhprlb7rpprTSSiulv/71rwVsJQBASl/84hfT6quvniZPnlzn+ffffz/dfPPNuZL8a1/7Wvrc5z6XY5fNN988/eY3v2nylAYRD9X+jKXFSQD1kZQC2oxrrrkmde3aNT322GPpggsuSOecc05N4mnx4sVp//33Tx07dsyvX3755emMM86o8/6PP/44DR8+PHXr1i2Xvv/lL39JK6+8ci6P/+ijj9LAgQPTT3/60/TNb34zvf766/ns5Ne//vV0/vnn5yQXAEAROnTokA477LCcMCqVSjXPR0Jq0aJF6ZBDDklDhgxJd955Z3r++efTsccemw499ND0+OOPL/NnflqcBFCfDvU+C9AKRZn62Wefnf8/YMCA9POf/zzdf//9ac8990z33XdfrnS65557Up8+ffIyP/7xj9OIESNq3v/b3/42J69+9atf5bOF5RL4OBv44IMPpmHDhuWE1H/913/lYC8SXFtttVU68cQTK7TFAEBbdeSRR6af/OQnacqUKblivBy3jB49OvXv3z+ddtppNctGrBIxUFR4b7311sv0eY2JkwCWJCkFtBlLzp2w1lprpXfeeSf/f/r06alfv341Camw3Xbb1Vn+mWeeSTNmzMhnAGv78MMP08yZM2seX3311WnDDTdM7du3Ty+88EJNYAYAUJSo4N5+++1zXBJJqYhhooIpKsWjWipOvkUS6u9//3uuZFq4cGEeyresGhsnAdQmKQW0GSuuuGKdx5EsijN6jRXzMESp+/XXX/+J12LehtpB2fz583NSavbs2Tn5BQBQiQnPowpq4sSJuWpp/fXXT7vsskueWuCSSy5JEyZMyPNJxfQGJ5988lKH2UXcVHsoYHnIXlPjJIDaJKUAUkobb7xxnpyzdhJp6tSpdZbZYostcmn6Gmuskbp3717vev7973+nww8/PH33u9/N6zr44IPTU089lSc7BwAoUkw6ftJJJ+WLsFx77bXpG9/4Rk4uxXxPMQl5TDcQ4iTdyy+/vNQ5MCOxFLFN7QvELFiwoElxEsCSTHQOkFLaY4898pC7MWPG5EqnKG+PxFJtkWDq1atXDuLi9VdffTXPkRBX9StfcjkmNo9hgGeddVa66KKLcnl87TkbAACKEhONH3jggWns2LE5oRQnzspza8bFXh555JE8hcFxxx2X3n777aWua7fddsvzcT799NPpiSeeyDFP7Sr0xsRJAEuSlAKIX4bt26dbb701ffDBB3mCz6OPPjqde+65dZaJeRYeeuihtPbaa+cr9UV1VZTFx1wJcUYwzkDGJOe//vWv81VvohT+uuuuS1deeWW66667KrZtAEDbFbHKu+++m6+MV547M06eRWVTPBfzTfXu3TuNGjVqqeu58MIL84m3nXbaKR100EH5pFvtOag+LU4CqE+70pIDgwEAAABgOVMpBQAAAEDhJKUAAAAAKJykFAAAAACFk5QCAAAAoHCSUgAAAAAUTlIKAAAAgMJJSgEAAABQOEkpAAAAAAonKQUAAABA4SSlAAAAACicpBQAAAAAhZOUAgAAACAV7f8DzV1NNi0NC0gAAAAASUVORK5CYII=", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 📊 Bar Plot\n", + "plt.figure(figsize=(12, 4))\n", + "\n", + "plt.subplot(1, 2, 1)\n", + "# make a bar chart\n", + "plt.bar(range(len(data)), data)\n", + "plt.title(\"Bar Plot of Random Data\")\n", + "plt.xlabel(\"Index\")\n", + "plt.ylabel(\"Value\")\n", + "\n", + "# 📦 Boxplot\n", + "plt.subplot(1, 2, 2)\n", + "# make a box plot\n", + "plt.boxplot(data, vert=False)\n", + "plt.title(\"Boxplot of Random Data\")\n", + "plt.xlabel(\"Value\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.7" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/Assignments/a0.7/AI-DS_Nexus__A0_7__RezaShokr.ipynb b/a0.1/Assignments/a0.7/AI-DS_Nexus__A0_7__RezaShokr.ipynb new file mode 100644 index 0000000..05c362f --- /dev/null +++ b/a0.1/Assignments/a0.7/AI-DS_Nexus__A0_7__RezaShokr.ipynb @@ -0,0 +1,388 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "dbICYwLGo5Av" + }, + "source": [ + "# 🔥 Assignment: Exploring PyTorch\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "b8h5DExTo6K5" + }, + "source": [ + "## 🎯 Goal\n", + "This assignment evaluates your basic skills in using PyTorch, focusing on tensors, autograd, and a small training loop.\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "euolCT3oo8dR" + }, + "source": [ + "### 1️⃣ Setup and Basics\n", + "**Task:**\n", + "\n", + "* Install PyTorch and check its version.\n", + "\n", + "* Create a 2D tensor and print it." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "id": "9AADPzP6o1iY" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "PyTorch version: 2.8.0+cpu\n", + "Tensor x:\n", + " tensor([[1., 2.],\n", + " [3., 4.]])\n" + ] + } + ], + "source": [ + "import torch\n", + "\n", + "print(\"PyTorch version:\", torch.__version__)\n", + "x = torch.tensor([[1., 2.], [3., 4.]])\n", + "print(\"Tensor x:\\n\", x)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "id": "T5mCQMYFpBJm" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Tensor y:\n", + " tensor([[5., 6.],\n", + " [7., 8.]])\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Create another tensor y of the same shape with values [[5, 6], [7, 8]].\n", + "y = torch.tensor([[5., 6.], [7., 8.]])\n", + "print(\"Tensor y:\\n\", y)\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7yRBms7npEUe" + }, + "source": [ + "### 2️⃣ Tensor Operations 🧮\n", + "**Task:** Perform addition and matrix multiplication." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "id": "nGRNryC4pDv2" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Addition:\n", + " tensor([[ 6., 8.],\n", + " [10., 12.]])\n", + "Matrix Multiplication:\n", + " tensor([[19., 22.],\n", + " [43., 50.]])\n" + ] + } + ], + "source": [ + "z = x + y\n", + "print(\"Addition:\\n\", z)\n", + "\n", + "mat_mul = x @ y\n", + "print(\"Matrix Multiplication:\\n\", mat_mul)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "id": "tf64nP2dpIod" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "tensor([[ 5., 12.],\n", + " [21., 32.]])\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Perform element-wise multiplication (x * y) and print the result.\n", + "dot_mul = x * y\n", + "print(dot_mul)\n", + "\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "h3dABundpMYU" + }, + "source": [ + "### 3️⃣ Autograd and Gradients ⚙️\n", + "**Task:** Enable gradient tracking and compute derivatives." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "igtPKY90pLGt" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "tensor(3., requires_grad=True)\n", + "Gradient of b wrt a: tensor(8.)\n" + ] + } + ], + "source": [ + "a = torch.tensor(3.0, requires_grad=True)\n", + "b = (a ** 2) + 2 * a + 1\n", + "b.backward()\n", + "print(\"Gradient of b wrt a:\", a.grad)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "bLceqHHvpOwt" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Gradient of q at p: tensor(16.)\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Create a tensor p with value 2.0 (requires_grad=True) and compute the gradient of q = p^3 + 4p.\n", + "p = torch.tensor(2.0, requires_grad=True)\n", + "q = p ** 3 + 4 * p\n", + "q.backward()\n", + "print(\"Gradient of q at p:\", p.grad)\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "jytRN17EpVbM" + }, + "source": [ + "### 4️⃣ Random Tensors 🎲\n", + "**Task:** Generate a random tensor of shape (2, 3) and find its max and min." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "id": "fb7fv-E_pS6e" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Random Tensor:\n", + " tensor([[0.9230, 0.3572, 0.7282],\n", + " [0.3952, 0.5441, 0.2520]])\n", + "Max: tensor(0.9230)\n", + "Min: tensor(0.2520)\n" + ] + } + ], + "source": [ + "rand_tensor = torch.rand((2, 3))\n", + "print(\"Random Tensor:\\n\", rand_tensor)\n", + "print(\"Max:\", torch.max(rand_tensor))\n", + "print(\"Min:\", torch.min(rand_tensor))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "bhSClXespjvT" + }, + "source": [ + "### 5️⃣ Mini Training Loop 🤖\n", + "**Task:** Train a simple linear model y = wx + b using gradient descent." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "o7s2KMJVpZ5M" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "tensor([[1.],\n", + " [2.],\n", + " [3.]])\n", + "tensor([[2.],\n", + " [4.],\n", + " [6.]])\n", + "tensor([-0.4748], requires_grad=True)\n", + "tensor(3., requires_grad=True)\n", + "tensor(107.8136, grad_fn=)\n", + "tensor(48.0209, grad_fn=)\n", + "Trained weight: 0.8197987079620361\n", + "Trained bias: -0.13070182502269745\n" + ] + } + ], + "source": [ + "# Data\n", + "x_train = torch.tensor([[1.0], [2.0], [3.0]])\n", + "y_train = torch.tensor([[2.0], [4.0], [6.0]])\n", + "\n", + "# Model\n", + "w = torch.randn(1, requires_grad=True)\n", + "b = torch.randn(1, requires_grad=True)\n", + "\n", + "# Training\n", + "learning_rate = 0.01\n", + "for epoch in range(2):\n", + " y_pred = w * x_train + b\n", + " loss = torch.sum((y_pred - y_train) ** 2)\n", + " print(loss)\n", + " loss.backward()\n", + "\n", + " # Update\n", + " with torch.no_grad():\n", + " w -= learning_rate * w.grad\n", + " b -= learning_rate * b.grad\n", + " w.grad.zero_()\n", + " b.grad.zero_()\n", + "\n", + "print(\"Trained weight:\", w.item())\n", + "print(\"Trained bias:\", b.item())\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "rGhFqtrVpv8_" + }, + "source": [ + "### 6️⃣ Bonus ⚡\n", + "* Convert a PyTorch tensor to a NumPy array.\n", + "\n", + "* Convert it back to a PyTorch tensor." + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "id": "AF4t92eDpq0j" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[1.]\n", + " [2.]\n", + " [3.]]\n", + "tensor([[1.],\n", + " [2.],\n", + " [3.]])\n" + ] + } + ], + "source": [ + "# To do\n", + "np_arr = x_train.numpy()\n", + "ts_arr = torch.from_numpy(np_arr)\n", + "\n", + "print(np_arr)\n", + "print(ts_arr)\n", + "\n", + "\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.7" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/Assignments/a0.8/AI-DS_Nexus__A0_8__RezaShokr.ipynb b/a0.1/Assignments/a0.8/AI-DS_Nexus__A0_8__RezaShokr.ipynb new file mode 100644 index 0000000..3688c55 --- /dev/null +++ b/a0.1/Assignments/a0.8/AI-DS_Nexus__A0_8__RezaShokr.ipynb @@ -0,0 +1,471 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "WKCsWe71mbTO" + }, + "source": [ + "# 🧠 Assignment: Getting Started with TensorFlow\n", + "\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ODPYXweVmdKp" + }, + "source": [ + "## 🎯 Goal\n", + "This assignment evaluates your basic skills in using TensorFlow, including creating tensors, performing operations, and building a simple model.\n", + "\n", + "### 1️⃣ Setup and Basics\n", + "**Task:**\n", + "\n", + "* Install TensorFlow and verify the version.\n", + "* Create a simple tensor and print it." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "id": "LrzxFPr3mPno" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "TensorFlow version: 2.20.0\n", + "Tensor a:\n", + " tf.Tensor(\n", + "[[1 2]\n", + " [3 4]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "import tensorflow as tf\n", + "\n", + "print(\"TensorFlow version:\", tf.__version__)\n", + "a = tf.constant([[1, 2], [3, 4]])\n", + "print(\"Tensor a:\\n\", a)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "id": "MSC0WPwymq3V" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Tensor b:\n", + " tf.Tensor(\n", + "[[5 6]\n", + " [7 8]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Create a tensor b with values [[5, 6], [7, 8]] and print its shape.\n", + "b = tf.constant([[5, 6], [7, 8]])\n", + "print(\"Tensor b:\\n\", b)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "b4cuWXJvmwdC" + }, + "source": [ + "### 2️⃣ Tensor Operations\n", + "**Task:** Perform element-wise addition and multiplication." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "id": "pzlGeEuhmtYo" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Addition:\n", + " tf.Tensor(\n", + "[[ 6 8]\n", + " [10 12]], shape=(2, 2), dtype=int32)\n", + "Multiplication:\n", + " tf.Tensor(\n", + "[[ 5 12]\n", + " [21 32]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "c = a + b\n", + "print(\"Addition:\\n\", c)\n", + "\n", + "d = a * b\n", + "print(\"Multiplication:\\n\", d)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "zv02rBVZmzPR" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Matrix Multiplication:\n", + " tf.Tensor(\n", + "[[19 22]\n", + " [43 50]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Compute a @ b (matrix multiplication) and print the result.\n", + "\n", + "e = a @ b\n", + "print(\"Matrix Multiplication:\\n\", e)\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "CbDULpk7m3c2" + }, + "source": [ + "### 3️⃣ Random Tensors 🎲\n", + "**Task:** Generate a random tensor of shape (3, 3) from a normal distribution and print its mean and standard deviation." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Czc74X8Nm2Oa" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Random Tensor:\n", + " tf.Tensor(\n", + "[[ 0.06132538 -0.4524595 0.00465713]\n", + " [-0.9531849 -0.41993755 0.21351114]\n", + " [ 0.3521335 -1.6075189 -0.04839648]], shape=(3, 3), dtype=float32)\n", + "Mean: tf.Tensor(-0.31665224, shape=(), dtype=float32)\n", + "Std Dev: tf.Tensor(0.59132975, shape=(), dtype=float32)\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "\n", + "random_tensor = tf.random.normal([3, 3])\n", + "print(\"Random Tensor:\\n\", random_tensor)\n", + "print(\"Mean:\", tf.reduce_mean(random_tensor))\n", + "print(\"Std Dev:\", tf.math.reduce_std(random_tensor))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wVH1vcq3nDgV" + }, + "source": [ + "### 4️⃣ Building a Simple Model 🤖\n", + "**Task:** Build a single-layer neural network using tf.keras.Sequential." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "9G2Jw8VSnC6f" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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    +              "┃ Layer (type)                     Output Shape                  Param # ┃\n",
    +              "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩\n",
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    +              "┃ Layer (type)                     Output Shape                  Param # ┃\n",
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    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "mYX-Yr0YqWTv" + }, + "source": [ + "## 🎯 Goal\n", + "This assignment checks your understanding of classes, objects, attributes, and methods using Python." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "uxnkvADeqX6P" + }, + "source": [ + "### 1️⃣ Class and Object Creation\n", + "**Task:**\n", + "\n", + "* Define a class Car with attributes brand and year.\n", + "\n", + "* Create an object car1 of class Car with values (\"Toyota\", 2020) and print them." + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "id": "HF7h_UxJqNLb" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Toyota 2020\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + "car1 = Car(\"Toyota\", 2020)\n", + "print(car1.brand, car1.year)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "id": "5frI0xqrqcz2" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Tesla 2023\n" + ] + } + ], + "source": [ + "#Your turn:\n", + "# Create another object car2 with brand \"Tesla\" and year 2023.\n", + "car2 = Car(\"Tesla\", 2023)\n", + "print(car2.brand, car2.year)\n", + "\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "1WvafJpAqgkt" + }, + "source": [ + "### 2️⃣ Add Methods 🛠\n", + "**Task:**\n", + "Add a method info() to Car that prints \"Brand: , Year: \"." + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "id": "AJM4pVrzqfJP" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Brand: Toyota, Year: 2020\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + " def info(self):\n", + " print(f\"Brand: {self.brand}, Year: {self.year}\")\n", + "\n", + "car1 = Car(\"Toyota\", 2020)\n", + "car1.info()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "id": "qwuFw0CiqkM8" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Brand: Tesla, Year: 2023\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Call info() for car2.\n", + "car2 = Car(\"Tesla\", 2023)\n", + "car2.info()\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "AOwBtvr0qosK" + }, + "source": [ + "### 3️⃣ Class vs Instance Attributes 📦\n", + "**Task:**\n", + "\n", + "* Add a class attribute wheels = 4 to Car.\n", + "\n", + "* Print car1.wheels and car2.wheels." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "id": "rPXvKwtsqm0C" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Brand: Toyota, Wheels: 4\n", + "Brand: Tesla, Wheels: 4\n" + ] + } + ], + "source": [ + "# To do\n", + "setattr(Car,'wheels', 4)\n", + "print(f\"Brand: {car1.brand}, Wheels: {car1.wheels}\")\n", + "print(f\"Brand: {car2.brand}, Wheels: {car2.wheels}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NLoiaaeuquwg" + }, + "source": [ + "### 4️⃣ Inheritance 👑\n", + "**Task:**\n", + "\n", + "* Create a subclass ElectricCar inheriting from Car.\n", + "* Add a new attribute battery (e.g., \"80 kWh\") and a method battery_info() that prints \"Battery: \"." + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "id": "e_sS1YdIqtk_" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Brand: Tesla, Year: 2023\n", + "Battery: 80 kWh\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + " def info(self):\n", + " print(f\"Brand: {self.brand}, Year: {self.year}\")\n", + " \n", + "class ElectricCar(Car):\n", + " def __init__(self, brand, year, battery):\n", + " super().__init__(brand, year)\n", + " self.battery = battery\n", + "\n", + " def battery_info(self):\n", + " print(f\"Battery: {self.battery}\")\n", + "\n", + "e_car = ElectricCar(\"Tesla\", 2023, \"80 kWh\")\n", + "e_car.info()\n", + "e_car.battery_info()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wC0OIrRMq7jv" + }, + "source": [ + "### 5️⃣ Bonus ⚡\n", + "* Add a __str__ method to Car to return a string like: \"Car(brand=Toyota, year=2020)\"." + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "id": "cAfBWxrlrA2t" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "'Car(brand=Toyota, year=2020)'" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# To do\n", + "# Example snippet\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + " def info(self):\n", + " print(f\"Brand: {self.brand}, Year: {self.year}\")\n", + "\n", + " def st(self):\n", + " return f\"Car(brand={self.brand}, year={self.year})\"\n", + "\n", + "car1 = Car(\"Toyota\", 2020)\n", + "car1.st()\n", + "\n", + "\n", + "\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/Assignments/a1.10/assignment_10_project_01_01_02_dataset___nexus___rsayyareh.ipynb b/a0.1/Assignments/a1.10/assignment_10_project_01_01_02_dataset___nexus___rsayyareh.ipynb new file mode 100644 index 0000000..135eace --- /dev/null +++ b/a0.1/Assignments/a1.10/assignment_10_project_01_01_02_dataset___nexus___rsayyareh.ipynb @@ -0,0 +1,389 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "5pY7aLZSZQM9" + }, + "source": [ + "# 🍷 Mini-Project: Merge & Explore the Wine Quality Datasets\n", + "\n", + "\n", + "> **Goal: Merge Wine Quality – Red and Wine Quality – White (UCI) into a single dataset, do a careful first-look exploration, and save the merged file to CSV.**\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "wpNpLMF8aX1s" + }, + "outputs": [], + "source": [ + "# === Requirements ===\n", + "# pip install pandas matplotlib\n", + "\n", + "import pandas as pd\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from pathlib import Path\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "ErqnxAGRaY_C" + }, + "outputs": [], + "source": [ + "# ---------- 1) Load ----------\n", + "URL_RED = \"https://archive.ics.uci.edu/ml/machine-learning-databases/wine-quality/winequality-red.csv\"\n", + "URL_WHITE = \"https://archive.ics.uci.edu/ml/machine-learning-databases/wine-quality/winequality-white.csv\"\n", + "\n", + "red = pd.read_csv(URL_RED, sep=\";\")\n", + "white = pd.read_csv(URL_WHITE, sep=\";\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "lVbxevgpabbF", + "outputId": "e6b61931-4441-4230-9fe4-a9de9a46d810" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Red shape: (1599, 12) White shape: (4898, 12)\n", + "Columns equal? -> True\n", + "Columns: ['fixed acidity', 'volatile acidity', 'citric acid', 'residual sugar', 'chlorides', 'free sulfur dioxide', 'total sulfur dioxide', 'density', 'pH', 'sulphates', 'alcohol', 'quality']\n" + ] + } + ], + "source": [ + "# ---------- 2) Sanity checks ----------\n", + "print(\"Red shape:\", red.shape, \"White shape:\", white.shape)\n", + "print(\"Columns equal? ->\", list(red.columns) == list(white.columns))\n", + "print(\"Columns:\", list(red.columns))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "5vV73isEadfQ" + }, + "outputs": [], + "source": [ + "# (Optional) strict schema assertion (search and read about assert in Python)\n", + "assert list(red.columns) == list(white.columns), \"Column mismatch between red and white datasets.\"\n" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "uVTeWORRakKq", + "outputId": "805c7e6c-e3a3-4ce1-d4d0-68da11927a13" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Merged shape: (6497, 13)\n" + ] + } + ], + "source": [ + "# ---------- 3) Tag source & merge ----------\n", + "red[\"type\"] = \"red\"\n", + "white[\"type\"] = \"white\"\n", + "\n", + "df = pd.concat([red, white], ignore_index=True)\n", + "print(\"\\nMerged shape:\", df.shape)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 634 + }, + "collapsed": true, + "id": "OsMo1KOhambz", + "outputId": "37dc1fe6-2733-422f-9ea5-4b238d79095e" + }, + "outputs": [], + "source": [ + "# ---------- 4) Basic exploration ----------\n", + "print(\"\\nDtypes:\\n\", df.dtypes)\n", + "print(\"\\nMissing values per column:\\n\", df.isnull().sum().sort_values(ascending=False))\n", + "print(\"\\nHead:\\n\", df.head())\n" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "ou0kWts-aopS", + "outputId": "c08ea4df-841b-45b9-b907-9ae2ebf63939" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Duplicate rows: [False True]\n", + "\n", + "Numeric summary:\n", + " count mean std min 25% \\\n", + "fixed acidity 6497.0 7.215307 1.296434 3.80000 6.40000 \n", + "volatile acidity 6497.0 0.339666 0.164636 0.08000 0.23000 \n", + "citric acid 6497.0 0.318633 0.145318 0.00000 0.25000 \n", + "residual sugar 6497.0 5.443235 4.757804 0.60000 1.80000 \n", + "chlorides 6497.0 0.056034 0.035034 0.00900 0.03800 \n", + "free sulfur dioxide 6497.0 30.525319 17.749400 1.00000 17.00000 \n", + "total sulfur dioxide 6497.0 115.744574 56.521855 6.00000 77.00000 \n", + "density 6497.0 0.994697 0.002999 0.98711 0.99234 \n", + "pH 6497.0 3.218501 0.160787 2.72000 3.11000 \n", + "sulphates 6497.0 0.531268 0.148806 0.22000 0.43000 \n", + "alcohol 6497.0 10.491801 1.192712 8.00000 9.50000 \n", + "quality 6497.0 5.818378 0.873255 3.00000 5.00000 \n", + "\n", + " 50% 75% max \n", + "fixed acidity 7.00000 7.70000 15.90000 \n", + "volatile acidity 0.29000 0.40000 1.58000 \n", + "citric acid 0.31000 0.39000 1.66000 \n", + "residual sugar 3.00000 8.10000 65.80000 \n", + "chlorides 0.04700 0.06500 0.61100 \n", + "free sulfur dioxide 29.00000 41.00000 289.00000 \n", + "total sulfur dioxide 118.00000 156.00000 440.00000 \n", + "density 0.99489 0.99699 1.03898 \n", + "pH 3.21000 3.32000 4.01000 \n", + "sulphates 0.51000 0.60000 2.00000 \n", + "alcohol 10.30000 11.30000 14.90000 \n", + "quality 6.00000 6.00000 9.00000 \n", + "\n", + "Quality distribution (overall):\n", + " 6497\n", + "\n", + "Quality distribution by type:\n", + " type\n", + "red 1599\n", + "white 4898\n", + "Name: quality, dtype: int64\n" + ] + } + ], + "source": [ + "# Uniqueness & duplicates\n", + "dup_count = df.duplicated().unique()\n", + "print(\"\\nDuplicate rows:\", dup_count)\n", + "\n", + "# Descriptive statistics (numeric)\n", + "num_cols = df.select_dtypes(include=[np.number]).columns\n", + "print(\"\\nNumeric summary:\\n\", df[num_cols].describe().T)\n", + "\n", + "# Target distributions\n", + "print(\"\\nQuality distribution (overall):\\n\", df[\"quality\"].count())\n", + "print(\"\\nQuality distribution by type:\\n\", df.groupby(\"type\")[\"quality\"].count().sort_index())\n" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 211 + }, + "id": "2Pa_iCVzaqzp", + "outputId": "6acac4cb-68ec-4bbf-caa1-2ef39263a8ca" + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# ---------- 5) A few simple visuals (optional for report) ----------\n", + "# Histograms of numeric features (quick feel for ranges & skew)\n", + "top_vars = df.columns\n", + "n = min(4, len(top_vars))\n", + "\n", + "\n", + "fig, axes = plt.subplots(1, 4, figsize=(16, 3), sharey=True)\n", + "\n", + "for i, ax in enumerate(axes):\n", + " if i < n:\n", + " col = top_vars[i]\n", + " ax.hist(df[col].dropna(), bins=30)\n", + " ax.set_title(f\"Histogram: {col}\")\n", + " ax.set_xlabel(col)\n", + " if i == 0:\n", + " ax.set_ylabel(\"Count\")\n", + " else:\n", + " ax.set_ylabel(\"\")\n", + " else:\n", + " ax.axis(\"off\") # hide unused panels if top_vars has < 4\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "id": "w9z9f2OMatLD" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Boxplot of quality by type (class distribution spread)\n", + "plt.figure()\n", + "df.boxplot(column=\"quality\", by=\"type\")\n", + "plt.suptitle(\"\")\n", + "plt.title(\"Quality by Wine Type\")\n", + "plt.xlabel(\"Type\")\n", + "plt.ylabel(\"Quality\")\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "id": "m9OZ2n2nawIP" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Correlation heatmap (numeric only)\n", + "corr = df[num_cols].corr()\n", + "plt.figure(figsize=(7, 6))\n", + "plt.imshow(corr, interpolation=\"nearest\")\n", + "plt.title(\"Correlation Heatmap\")\n", + "plt.colorbar()\n", + "plt.xticks(range(len(num_cols)), num_cols, rotation=90)\n", + "plt.yticks(range(len(num_cols)), num_cols)\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "id": "NHQPRTdLZI9R" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Saved merged file to: E:\\Nexus\\Nexus_Assignments\\a1.10\\outputs\\wine_quality_merged.csv\n", + "Reloaded shape: (6497, 13)\n" + ] + } + ], + "source": [ + "# ---------- 6) Save ----------\n", + "OUT_DIR = Path(\"./outputs\")\n", + "OUT_DIR.mkdir(parents=True, exist_ok=True)\n", + "out_file = OUT_DIR / \"wine_quality_merged.csv\"\n", + "df.to_csv(out_file, index=False)\n", + "print(f\"\\nSaved merged file to: {out_file.resolve()}\")\n", + "\n", + "# Quick verification of saved file\n", + "df_check = pd.read_csv(out_file)\n", + "print(\"Reloaded shape:\", df_check.shape)\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/Assignments/a1.10/assignment_10_project_01_01_02_dataset___nexus___rsayyareh.py b/a0.1/Assignments/a1.10/assignment_10_project_01_01_02_dataset___nexus___rsayyareh.py new file mode 100644 index 0000000..3f9550f --- /dev/null +++ b/a0.1/Assignments/a1.10/assignment_10_project_01_01_02_dataset___nexus___rsayyareh.py @@ -0,0 +1,160 @@ +#!/usr/bin/env python +# coding: utf-8 + +# # 🍷 Mini-Project: Merge & Explore the Wine Quality Datasets +# +# +# > **Goal: Merge Wine Quality – Red and Wine Quality – White (UCI) into a single dataset, do a careful first-look exploration, and save the merged file to CSV.** +# +#

    📢⚠️📂

    +# +#

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    +# +#

    🚨📝🧠

    + +# In[2]: + + +# === Requirements === +# pip install pandas matplotlib + +import pandas as pd +import numpy as np +import matplotlib.pyplot as plt +from pathlib import Path + + +# In[3]: + + +# ---------- 1) Load ---------- +URL_RED = "https://archive.ics.uci.edu/ml/machine-learning-databases/wine-quality/winequality-red.csv" +URL_WHITE = "https://archive.ics.uci.edu/ml/machine-learning-databases/wine-quality/winequality-white.csv" + +red = pd.read_csv(URL_RED, sep=";") +white = pd.read_csv(URL_WHITE, sep=";") + + +# In[4]: + + +# ---------- 2) Sanity checks ---------- +print("Red shape:", red.shape, "White shape:", white.shape) +print("Columns equal? ->", list(red.columns) == list(white.columns)) +print("Columns:", list(red.columns)) + + +# In[5]: + + +# (Optional) strict schema assertion (search and read about assert in Python) +assert list(red.columns) == list(white.columns), "Column mismatch between red and white datasets." + + +# In[13]: + + +# ---------- 3) Tag source & merge ---------- +red["type"] = "red" +white["type"] = "white" + +df = pd.concat([red, white], ignore_index=True) +print("\nMerged shape:", df.shape) + + +# In[ ]: + + +# ---------- 4) Basic exploration ---------- +print("\nDtypes:\n", df.dtypes) +print("\nMissing values per column:\n", df.isnull().sum().sort_values(ascending=False)) +print("\nHead:\n", df.head()) + + +# In[15]: + + +# Uniqueness & duplicates +dup_count = df.duplicated().unique() +print("\nDuplicate rows:", dup_count) + +# Descriptive statistics (numeric) +num_cols = df.select_dtypes(include=[np.number]).columns +print("\nNumeric summary:\n", df[num_cols].describe().T) + +# Target distributions +print("\nQuality distribution (overall):\n", df["quality"].count()) +print("\nQuality distribution by type:\n", df.groupby("type")["quality"].count().sort_index()) + + +# In[21]: + + +# ---------- 5) A few simple visuals (optional for report) ---------- +# Histograms of numeric features (quick feel for ranges & skew) +top_vars = df.columns +n = min(4, len(top_vars)) + + +fig, axes = plt.subplots(1, 4, figsize=(16, 3), sharey=True) + +for i, ax in enumerate(axes): + if i < n: + col = top_vars[i] + ax.hist(df[col].dropna(), bins=30) + ax.set_title(f"Histogram: {col}") + ax.set_xlabel(col) + if i == 0: + ax.set_ylabel("Count") + else: + ax.set_ylabel("") + else: + ax.axis("off") # hide unused panels if top_vars has < 4 + +plt.tight_layout() +plt.show() + + +# In[22]: + + +# Boxplot of quality by type (class distribution spread) +plt.figure() +df.boxplot(column="quality", by="type") +plt.suptitle("") +plt.title("Quality by Wine Type") +plt.xlabel("Type") +plt.ylabel("Quality") +plt.tight_layout() +plt.show() + + +# In[23]: + + +# Correlation heatmap (numeric only) +corr = df[num_cols].corr() +plt.figure(figsize=(7, 6)) +plt.imshow(corr, interpolation="nearest") +plt.title("Correlation Heatmap") +plt.colorbar() +plt.xticks(range(len(num_cols)), num_cols, rotation=90) +plt.yticks(range(len(num_cols)), num_cols) +plt.tight_layout() +plt.show() + + +# In[24]: + + +# ---------- 6) Save ---------- +OUT_DIR = Path("./outputs") +OUT_DIR.mkdir(parents=True, exist_ok=True) +out_file = OUT_DIR / "wine_quality_merged.csv" +df.to_csv(out_file, index=False) +print(f"\nSaved merged file to: {out_file.resolve()}") + +# Quick verification of saved file +df_check = pd.read_csv(out_file) +print("Reloaded shape:", df_check.shape) + diff --git a/a0.1/Assignments/a1.10/outputs/wine_quality_merged.csv b/a0.1/Assignments/a1.10/outputs/wine_quality_merged.csv new file mode 100644 index 0000000..e2ddeff --- /dev/null +++ b/a0.1/Assignments/a1.10/outputs/wine_quality_merged.csv @@ -0,0 +1,6498 @@ +fixed acidity,volatile acidity,citric acid,residual sugar,chlorides,free sulfur dioxide,total sulfur dioxide,density,pH,sulphates,alcohol,quality,type +7.4,0.7,0.0,1.9,0.076,11.0,34.0,0.9978,3.51,0.56,9.4,5,red +7.8,0.88,0.0,2.6,0.098,25.0,67.0,0.9968,3.2,0.68,9.8,5,red 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diff --git a/a0.1/Assignments/a1.11/Project2_rsayyareh.ipynb b/a0.1/Assignments/a1.11/Project2_rsayyareh.ipynb new file mode 100644 index 0000000..d1c2901 --- /dev/null +++ b/a0.1/Assignments/a1.11/Project2_rsayyareh.ipynb @@ -0,0 +1,2369 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "h6pr9RxJiBKU" + }, + "source": [ + "# 🏠 Mini-Project: Preprocess & Engineer Features on Ames Housing Dataset\n", + "\n", + "> **Goal: Work with the [Ames Housing dataset](https://www.kaggle.com/datasets/prevek18/ames-housing-dataset?select=AmesHousing.csv) to perform data preprocessing and create meaningful new features. You will:**\n", + "> - Handle **missing values**, **duplicates**, and **outliers** \n", + "> - Detect and fix **skewness** in numerical features \n", + "> - Encode categorical variables into numeric formats \n", + "> - Create **non-linear features** (e.g., polynomial, log, interaction terms) from existing variables \n", + "> - Save the cleaned and enriched dataset into a new CSV file \n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project2_rezashokrzad.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7CksOccRjV4s" + }, + "source": [ + "## 🔹 Step 1: Load the Dataset\n" + ] + }, + { + "cell_type": "code", + "execution_count": 203, + "metadata": { + "id": "Nlz-ZiyHgmQb" + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\Parastoo\\AppData\\Local\\Temp\\ipykernel_11092\\867328322.py:15: DeprecationWarning: Use dataset_load() instead of load_dataset(). load_dataset() will be removed in a future version.\n", + " df = kagglehub.load_dataset(\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "First 5 records: Order PID MS SubClass MS Zoning Lot Frontage Lot Area Street \\\n", + "0 1 526301100 20 RL 141.0 31770 Pave \n", + "1 2 526350040 20 RH 80.0 11622 Pave \n", + "2 3 526351010 20 RL 81.0 14267 Pave \n", + "3 4 526353030 20 RL 93.0 11160 Pave \n", + "4 5 527105010 60 RL 74.0 13830 Pave \n", + "\n", + " Alley Lot Shape Land Contour Utilities Lot Config Land Slope Neighborhood \\\n", + "0 NaN IR1 Lvl AllPub Corner Gtl NAmes \n", + "1 NaN Reg Lvl AllPub Inside Gtl NAmes \n", + "2 NaN IR1 Lvl AllPub Corner Gtl NAmes \n", + "3 NaN Reg Lvl AllPub Corner Gtl NAmes \n", + "4 NaN IR1 Lvl AllPub Inside Gtl Gilbert \n", + "\n", + " Condition 1 Condition 2 Bldg Type House Style Overall Qual Overall Cond \\\n", + "0 Norm Norm 1Fam 1Story 6 5 \n", + "1 Feedr Norm 1Fam 1Story 5 6 \n", + "2 Norm Norm 1Fam 1Story 6 6 \n", + "3 Norm Norm 1Fam 1Story 7 5 \n", + "4 Norm Norm 1Fam 2Story 5 5 \n", + "\n", + " Year Built Year Remod/Add Roof Style Roof Matl Exterior 1st Exterior 2nd \\\n", + "0 1960 1960 Hip CompShg BrkFace Plywood \n", + "1 1961 1961 Gable CompShg VinylSd VinylSd \n", + "2 1958 1958 Hip CompShg Wd Sdng Wd Sdng \n", + "3 1968 1968 Hip CompShg BrkFace BrkFace \n", + "4 1997 1998 Gable CompShg VinylSd VinylSd \n", + "\n", + " Mas Vnr Type Mas Vnr Area Exter Qual Exter Cond Foundation Bsmt Qual \\\n", + "0 Stone 112.0 TA TA CBlock TA \n", + "1 NaN 0.0 TA TA CBlock TA \n", + "2 BrkFace 108.0 TA TA CBlock TA \n", + "3 NaN 0.0 Gd TA CBlock TA \n", + "4 NaN 0.0 TA TA PConc Gd \n", + "\n", + " Bsmt Cond Bsmt Exposure BsmtFin Type 1 BsmtFin SF 1 BsmtFin Type 2 \\\n", + "0 Gd Gd BLQ 639.0 Unf \n", + "1 TA No Rec 468.0 LwQ \n", + "2 TA No ALQ 923.0 Unf \n", + "3 TA No ALQ 1065.0 Unf \n", + "4 TA No GLQ 791.0 Unf \n", + "\n", + " BsmtFin SF 2 Bsmt Unf SF Total Bsmt SF Heating Heating QC Central Air \\\n", + "0 0.0 441.0 1080.0 GasA Fa Y \n", + "1 144.0 270.0 882.0 GasA TA Y \n", + "2 0.0 406.0 1329.0 GasA TA Y \n", + "3 0.0 1045.0 2110.0 GasA Ex Y \n", + "4 0.0 137.0 928.0 GasA Gd Y \n", + "\n", + " Electrical 1st Flr SF 2nd Flr SF Low Qual Fin SF Gr Liv Area \\\n", + "0 SBrkr 1656 0 0 1656 \n", + "1 SBrkr 896 0 0 896 \n", + "2 SBrkr 1329 0 0 1329 \n", + "3 SBrkr 2110 0 0 2110 \n", + "4 SBrkr 928 701 0 1629 \n", + "\n", + " Bsmt Full Bath Bsmt Half Bath Full Bath Half Bath Bedroom AbvGr \\\n", + "0 1.0 0.0 1 0 3 \n", + "1 0.0 0.0 1 0 2 \n", + "2 0.0 0.0 1 1 3 \n", + "3 1.0 0.0 2 1 3 \n", + "4 0.0 0.0 2 1 3 \n", + "\n", + " Kitchen AbvGr Kitchen Qual TotRms AbvGrd Functional Fireplaces \\\n", + "0 1 TA 7 Typ 2 \n", + "1 1 TA 5 Typ 0 \n", + "2 1 Gd 6 Typ 0 \n", + "3 1 Ex 8 Typ 2 \n", + "4 1 TA 6 Typ 1 \n", + "\n", + " Fireplace Qu Garage Type Garage Yr Blt Garage Finish Garage Cars \\\n", + "0 Gd Attchd 1960.0 Fin 2.0 \n", + "1 NaN Attchd 1961.0 Unf 1.0 \n", + "2 NaN Attchd 1958.0 Unf 1.0 \n", + "3 TA Attchd 1968.0 Fin 2.0 \n", + "4 TA Attchd 1997.0 Fin 2.0 \n", + "\n", + " Garage Area Garage Qual Garage Cond Paved Drive Wood Deck SF \\\n", + "0 528.0 TA TA P 210 \n", + "1 730.0 TA TA Y 140 \n", + "2 312.0 TA TA Y 393 \n", + "3 522.0 TA TA Y 0 \n", + "4 482.0 TA TA Y 212 \n", + "\n", + " Open Porch SF Enclosed Porch 3Ssn Porch Screen Porch Pool Area Pool QC \\\n", + "0 62 0 0 0 0 NaN \n", + "1 0 0 0 120 0 NaN \n", + "2 36 0 0 0 0 NaN \n", + "3 0 0 0 0 0 NaN \n", + "4 34 0 0 0 0 NaN \n", + "\n", + " Fence Misc Feature Misc Val Mo Sold Yr Sold Sale Type Sale Condition \\\n", + "0 NaN NaN 0 5 2010 WD Normal \n", + "1 MnPrv NaN 0 6 2010 WD Normal \n", + "2 NaN Gar2 12500 6 2010 WD Normal \n", + "3 NaN NaN 0 4 2010 WD Normal \n", + "4 MnPrv NaN 0 3 2010 WD Normal \n", + "\n", + " SalePrice \n", + "0 215000 \n", + "1 105000 \n", + "2 172000 \n", + "3 244000 \n", + "4 189900 \n", + "Last 5 records: Order PID MS SubClass MS Zoning Lot Frontage Lot Area Street \\\n", + "2925 2926 923275080 80 RL 37.0 7937 Pave \n", + "2926 2927 923276100 20 RL NaN 8885 Pave \n", + "2927 2928 923400125 85 RL 62.0 10441 Pave \n", + "2928 2929 924100070 20 RL 77.0 10010 Pave \n", + "2929 2930 924151050 60 RL 74.0 9627 Pave \n", + "\n", + " Alley Lot Shape Land Contour Utilities Lot Config Land Slope \\\n", + "2925 NaN IR1 Lvl AllPub CulDSac Gtl \n", + "2926 NaN IR1 Low AllPub Inside Mod \n", + "2927 NaN Reg Lvl AllPub Inside Gtl \n", + "2928 NaN Reg Lvl AllPub Inside Mod \n", + "2929 NaN Reg Lvl AllPub Inside Mod \n", + "\n", + " Neighborhood Condition 1 Condition 2 Bldg Type House Style Overall Qual \\\n", + "2925 Mitchel Norm Norm 1Fam SLvl 6 \n", + "2926 Mitchel Norm Norm 1Fam 1Story 5 \n", + "2927 Mitchel Norm Norm 1Fam SFoyer 5 \n", + "2928 Mitchel Norm Norm 1Fam 1Story 5 \n", + "2929 Mitchel Norm Norm 1Fam 2Story 7 \n", + "\n", + " Overall Cond Year Built Year Remod/Add Roof Style Roof Matl \\\n", + "2925 6 1984 1984 Gable CompShg \n", + "2926 5 1983 1983 Gable CompShg \n", + "2927 5 1992 1992 Gable CompShg \n", + "2928 5 1974 1975 Gable CompShg \n", + "2929 5 1993 1994 Gable CompShg \n", + "\n", + " Exterior 1st Exterior 2nd Mas Vnr Type Mas Vnr Area Exter Qual \\\n", + "2925 HdBoard HdBoard NaN 0.0 TA \n", + "2926 HdBoard HdBoard NaN 0.0 TA \n", + "2927 HdBoard Wd Shng NaN 0.0 TA \n", + "2928 HdBoard HdBoard NaN 0.0 TA \n", + "2929 HdBoard HdBoard BrkFace 94.0 TA \n", + "\n", + " Exter Cond Foundation Bsmt Qual Bsmt Cond Bsmt Exposure BsmtFin Type 1 \\\n", + "2925 TA CBlock TA TA Av GLQ \n", + "2926 TA CBlock Gd TA Av BLQ \n", + "2927 TA PConc Gd TA Av GLQ \n", + "2928 TA CBlock Gd TA Av ALQ \n", + "2929 TA PConc Gd TA Av LwQ \n", + "\n", + " BsmtFin SF 1 BsmtFin Type 2 BsmtFin SF 2 Bsmt Unf SF Total Bsmt SF \\\n", + "2925 819.0 Unf 0.0 184.0 1003.0 \n", + "2926 301.0 ALQ 324.0 239.0 864.0 \n", + "2927 337.0 Unf 0.0 575.0 912.0 \n", + "2928 1071.0 LwQ 123.0 195.0 1389.0 \n", + "2929 758.0 Unf 0.0 238.0 996.0 \n", + "\n", + " Heating Heating QC Central Air Electrical 1st Flr SF 2nd Flr SF \\\n", + "2925 GasA TA Y SBrkr 1003 0 \n", + "2926 GasA TA Y SBrkr 902 0 \n", + "2927 GasA TA Y SBrkr 970 0 \n", + "2928 GasA Gd Y SBrkr 1389 0 \n", + "2929 GasA Ex Y SBrkr 996 1004 \n", + "\n", + " Low Qual Fin SF Gr Liv Area Bsmt Full Bath Bsmt Half Bath Full Bath \\\n", + "2925 0 1003 1.0 0.0 1 \n", + "2926 0 902 1.0 0.0 1 \n", + "2927 0 970 0.0 1.0 1 \n", + "2928 0 1389 1.0 0.0 1 \n", + "2929 0 2000 0.0 0.0 2 \n", + "\n", + " Half Bath Bedroom AbvGr Kitchen AbvGr Kitchen Qual TotRms AbvGrd \\\n", + "2925 0 3 1 TA 6 \n", + "2926 0 2 1 TA 5 \n", + "2927 0 3 1 TA 6 \n", + "2928 0 2 1 TA 6 \n", + "2929 1 3 1 TA 9 \n", + "\n", + " Functional Fireplaces Fireplace Qu Garage Type Garage Yr Blt \\\n", + "2925 Typ 0 NaN Detchd 1984.0 \n", + "2926 Typ 0 NaN Attchd 1983.0 \n", + "2927 Typ 0 NaN NaN NaN \n", + "2928 Typ 1 TA Attchd 1975.0 \n", + "2929 Typ 1 TA Attchd 1993.0 \n", + "\n", + " Garage Finish Garage Cars Garage Area Garage Qual Garage Cond \\\n", + "2925 Unf 2.0 588.0 TA TA \n", + "2926 Unf 2.0 484.0 TA TA \n", + "2927 NaN 0.0 0.0 NaN NaN \n", + "2928 RFn 2.0 418.0 TA TA \n", + "2929 Fin 3.0 650.0 TA TA \n", + "\n", + " Paved Drive Wood Deck SF Open Porch SF Enclosed Porch 3Ssn Porch \\\n", + "2925 Y 120 0 0 0 \n", + "2926 Y 164 0 0 0 \n", + "2927 Y 80 32 0 0 \n", + "2928 Y 240 38 0 0 \n", + "2929 Y 190 48 0 0 \n", + "\n", + " Screen Porch Pool Area Pool QC Fence Misc Feature Misc Val Mo Sold \\\n", + "2925 0 0 NaN GdPrv NaN 0 3 \n", + "2926 0 0 NaN MnPrv NaN 0 6 \n", + "2927 0 0 NaN MnPrv Shed 700 7 \n", + "2928 0 0 NaN NaN NaN 0 4 \n", + "2929 0 0 NaN NaN NaN 0 11 \n", + "\n", + " Yr Sold Sale Type Sale Condition SalePrice \n", + "2925 2006 WD Normal 142500 \n", + "2926 2006 WD Normal 131000 \n", + "2927 2006 WD Normal 132000 \n", + "2928 2006 WD Normal 170000 \n", + "2929 2006 WD Normal 188000 \n" + ] + } + ], + "source": [ + "# TODO: Load the Ames Housing dataset into a DataFrame.\n", + "# Hint: The dataset is available on Kaggle (\"Ames Housing\").\n", + "# After loading, display the first and last 5 rows to check if it worked.\n", + "\n", + "# Install dependencies as needed:\n", + "# pip install kagglehub[pandas-datasets]\n", + "import kagglehub\n", + "from kagglehub import KaggleDatasetAdapter\n", + "import pandas as pd\n", + "\n", + "# Set the path to the file you'd like to load\n", + "file_path = \"AmesHousing.csv\"\n", + "\n", + "# Load the latest version\n", + "df = kagglehub.load_dataset(\n", + " KaggleDatasetAdapter.PANDAS,\n", + " \"prevek18/ames-housing-dataset\",\n", + " file_path,\n", + " # Provide any additional arguments like \n", + " # sql_query or pandas_kwargs. See the \n", + " # documenation for more information:\n", + " # https://github.com/Kaggle/kagglehub/blob/main/README.md#kaggledatasetadapterpandas\n", + ")\n", + "\n", + "pd.set_option('display.max_columns', None)\n", + "\n", + "print(\"First 5 records:\", df.head())\n", + "print(\"Last 5 records:\", df.tail())" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "OdX7swaujg_u" + }, + "source": [ + "## 🔹 Step 2: Exploratory Data Review (EDR)" + ] + }, + { + "cell_type": "code", + "execution_count": 204, + "metadata": { + "id": "DMYRBPWWjgpo" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Shape: (2930, 82)\n", + "Columns Name: Index(['Order', 'PID', 'MS SubClass', 'MS Zoning', 'Lot Frontage', 'Lot Area',\n", + " 'Street', 'Alley', 'Lot Shape', 'Land Contour', 'Utilities',\n", + " 'Lot Config', 'Land Slope', 'Neighborhood', 'Condition 1',\n", + " 'Condition 2', 'Bldg Type', 'House Style', 'Overall Qual',\n", + " 'Overall Cond', 'Year Built', 'Year Remod/Add', 'Roof Style',\n", + " 'Roof Matl', 'Exterior 1st', 'Exterior 2nd', 'Mas Vnr Type',\n", + " 'Mas Vnr Area', 'Exter Qual', 'Exter Cond', 'Foundation', 'Bsmt Qual',\n", + " 'Bsmt Cond', 'Bsmt Exposure', 'BsmtFin Type 1', 'BsmtFin SF 1',\n", + " 'BsmtFin Type 2', 'BsmtFin SF 2', 'Bsmt Unf SF', 'Total Bsmt SF',\n", + " 'Heating', 'Heating QC', 'Central Air', 'Electrical', '1st Flr SF',\n", + " '2nd Flr SF', 'Low Qual Fin SF', 'Gr Liv Area', 'Bsmt Full Bath',\n", + " 'Bsmt Half Bath', 'Full Bath', 'Half Bath', 'Bedroom AbvGr',\n", + " 'Kitchen AbvGr', 'Kitchen Qual', 'TotRms AbvGrd', 'Functional',\n", + " 'Fireplaces', 'Fireplace Qu', 'Garage Type', 'Garage Yr Blt',\n", + " 'Garage Finish', 'Garage Cars', 'Garage Area', 'Garage Qual',\n", + " 'Garage Cond', 'Paved Drive', 'Wood Deck SF', 'Open Porch SF',\n", + " 'Enclosed Porch', '3Ssn Porch', 'Screen Porch', 'Pool Area', 'Pool QC',\n", + " 'Fence', 'Misc Feature', 'Misc Val', 'Mo Sold', 'Yr Sold', 'Sale Type',\n", + " 'Sale Condition', 'SalePrice'],\n", + " dtype='object')\n", + "Sample of Records: \n", + "\n", + "RangeIndex: 2930 entries, 0 to 2929\n", + "Data columns (total 82 columns):\n", + " # Column Non-Null Count Dtype \n", + "--- ------ -------------- ----- \n", + " 0 Order 2930 non-null int64 \n", + " 1 PID 2930 non-null int64 \n", + " 2 MS SubClass 2930 non-null int64 \n", + " 3 MS Zoning 2930 non-null object \n", + " 4 Lot Frontage 2440 non-null float64\n", + " 5 Lot Area 2930 non-null int64 \n", + " 6 Street 2930 non-null object \n", + " 7 Alley 198 non-null object \n", + " 8 Lot Shape 2930 non-null object \n", + " 9 Land Contour 2930 non-null object \n", + " 10 Utilities 2930 non-null object \n", + " 11 Lot Config 2930 non-null object \n", + " 12 Land Slope 2930 non-null object \n", + " 13 Neighborhood 2930 non-null object \n", + " 14 Condition 1 2930 non-null object \n", + " 15 Condition 2 2930 non-null object \n", + " 16 Bldg Type 2930 non-null object \n", + " 17 House Style 2930 non-null object \n", + " 18 Overall Qual 2930 non-null int64 \n", + " 19 Overall Cond 2930 non-null int64 \n", + " 20 Year Built 2930 non-null int64 \n", + " 21 Year Remod/Add 2930 non-null int64 \n", + " 22 Roof Style 2930 non-null object \n", + " 23 Roof Matl 2930 non-null object \n", + " 24 Exterior 1st 2930 non-null object \n", + " 25 Exterior 2nd 2930 non-null object \n", + " 26 Mas Vnr Type 1155 non-null object \n", + " 27 Mas Vnr Area 2907 non-null float64\n", + " 28 Exter Qual 2930 non-null object \n", + " 29 Exter Cond 2930 non-null object \n", + " 30 Foundation 2930 non-null object \n", + " 31 Bsmt Qual 2850 non-null object \n", + " 32 Bsmt Cond 2850 non-null object \n", + " 33 Bsmt Exposure 2847 non-null object \n", + " 34 BsmtFin Type 1 2850 non-null object \n", + " 35 BsmtFin SF 1 2929 non-null float64\n", + " 36 BsmtFin Type 2 2849 non-null object \n", + " 37 BsmtFin SF 2 2929 non-null float64\n", + " 38 Bsmt Unf SF 2929 non-null float64\n", + " 39 Total Bsmt SF 2929 non-null float64\n", + " 40 Heating 2930 non-null object \n", + " 41 Heating QC 2930 non-null object \n", + " 42 Central Air 2930 non-null object \n", + " 43 Electrical 2929 non-null object \n", + " 44 1st Flr SF 2930 non-null int64 \n", + " 45 2nd Flr SF 2930 non-null int64 \n", + " 46 Low Qual Fin SF 2930 non-null int64 \n", + " 47 Gr Liv Area 2930 non-null int64 \n", + " 48 Bsmt Full Bath 2928 non-null float64\n", + " 49 Bsmt Half Bath 2928 non-null float64\n", + " 50 Full Bath 2930 non-null int64 \n", + " 51 Half Bath 2930 non-null int64 \n", + " 52 Bedroom AbvGr 2930 non-null int64 \n", + " 53 Kitchen AbvGr 2930 non-null int64 \n", + " 54 Kitchen Qual 2930 non-null object \n", + " 55 TotRms AbvGrd 2930 non-null int64 \n", + " 56 Functional 2930 non-null object \n", + " 57 Fireplaces 2930 non-null int64 \n", + " 58 Fireplace Qu 1508 non-null object \n", + " 59 Garage Type 2773 non-null object \n", + " 60 Garage Yr Blt 2771 non-null float64\n", + " 61 Garage Finish 2771 non-null object \n", + " 62 Garage Cars 2929 non-null float64\n", + " 63 Garage Area 2929 non-null float64\n", + " 64 Garage Qual 2771 non-null object \n", + " 65 Garage Cond 2771 non-null object \n", + " 66 Paved Drive 2930 non-null object \n", + " 67 Wood Deck SF 2930 non-null int64 \n", + " 68 Open Porch SF 2930 non-null int64 \n", + " 69 Enclosed Porch 2930 non-null int64 \n", + " 70 3Ssn Porch 2930 non-null int64 \n", + " 71 Screen Porch 2930 non-null int64 \n", + " 72 Pool Area 2930 non-null int64 \n", + " 73 Pool QC 13 non-null object \n", + " 74 Fence 572 non-null object \n", + " 75 Misc Feature 106 non-null object \n", + " 76 Misc Val 2930 non-null int64 \n", + " 77 Mo Sold 2930 non-null int64 \n", + " 78 Yr Sold 2930 non-null int64 \n", + " 79 Sale Type 2930 non-null object \n", + " 80 Sale Condition 2930 non-null object \n", + " 81 SalePrice 2930 non-null int64 \n", + "dtypes: float64(11), int64(28), object(43)\n", + "memory usage: 1.8+ MB\n", + " Order PID MS SubClass Lot Frontage Lot Area \\\n", + "count 2930.00000 2.930000e+03 2930.000000 2440.000000 2930.000000 \n", + "mean 1465.50000 7.144645e+08 57.387372 69.224590 10147.921843 \n", + "std 845.96247 1.887308e+08 42.638025 23.365335 7880.017759 \n", + "min 1.00000 5.263011e+08 20.000000 21.000000 1300.000000 \n", + "25% 733.25000 5.284770e+08 20.000000 58.000000 7440.250000 \n", + "50% 1465.50000 5.354536e+08 50.000000 68.000000 9436.500000 \n", + "75% 2197.75000 9.071811e+08 70.000000 80.000000 11555.250000 \n", + "max 2930.00000 1.007100e+09 190.000000 313.000000 215245.000000 \n", + "\n", + " Overall Qual Overall Cond Year Built Year Remod/Add Mas Vnr Area \\\n", + "count 2930.000000 2930.000000 2930.000000 2930.000000 2907.000000 \n", + "mean 6.094881 5.563140 1971.356314 1984.266553 101.896801 \n", + "std 1.411026 1.111537 30.245361 20.860286 179.112611 \n", + "min 1.000000 1.000000 1872.000000 1950.000000 0.000000 \n", + "25% 5.000000 5.000000 1954.000000 1965.000000 0.000000 \n", + "50% 6.000000 5.000000 1973.000000 1993.000000 0.000000 \n", + "75% 7.000000 6.000000 2001.000000 2004.000000 164.000000 \n", + "max 10.000000 9.000000 2010.000000 2010.000000 1600.000000 \n", + "\n", + " BsmtFin SF 1 BsmtFin SF 2 Bsmt Unf SF Total Bsmt SF 1st Flr SF \\\n", + "count 2929.000000 2929.000000 2929.000000 2929.000000 2930.000000 \n", + "mean 442.629566 49.722431 559.262547 1051.614544 1159.557679 \n", + "std 455.590839 169.168476 439.494153 440.615067 391.890885 \n", + "min 0.000000 0.000000 0.000000 0.000000 334.000000 \n", + "25% 0.000000 0.000000 219.000000 793.000000 876.250000 \n", + "50% 370.000000 0.000000 466.000000 990.000000 1084.000000 \n", + "75% 734.000000 0.000000 802.000000 1302.000000 1384.000000 \n", + "max 5644.000000 1526.000000 2336.000000 6110.000000 5095.000000 \n", + "\n", + " 2nd Flr SF Low Qual Fin SF Gr Liv Area Bsmt Full Bath \\\n", + "count 2930.000000 2930.000000 2930.000000 2928.000000 \n", + "mean 335.455973 4.676792 1499.690444 0.431352 \n", + "std 428.395715 46.310510 505.508887 0.524820 \n", + "min 0.000000 0.000000 334.000000 0.000000 \n", + "25% 0.000000 0.000000 1126.000000 0.000000 \n", + "50% 0.000000 0.000000 1442.000000 0.000000 \n", + "75% 703.750000 0.000000 1742.750000 1.000000 \n", + "max 2065.000000 1064.000000 5642.000000 3.000000 \n", + "\n", + " Bsmt Half Bath Full Bath Half Bath Bedroom AbvGr Kitchen AbvGr \\\n", + "count 2928.000000 2930.000000 2930.000000 2930.000000 2930.000000 \n", + "mean 0.061134 1.566553 0.379522 2.854266 1.044369 \n", + "std 0.245254 0.552941 0.502629 0.827731 0.214076 \n", + "min 0.000000 0.000000 0.000000 0.000000 0.000000 \n", + "25% 0.000000 1.000000 0.000000 2.000000 1.000000 \n", + "50% 0.000000 2.000000 0.000000 3.000000 1.000000 \n", + "75% 0.000000 2.000000 1.000000 3.000000 1.000000 \n", + "max 2.000000 4.000000 2.000000 8.000000 3.000000 \n", + "\n", + " TotRms AbvGrd Fireplaces Garage Yr Blt Garage Cars Garage Area \\\n", + "count 2930.000000 2930.000000 2771.000000 2929.000000 2929.000000 \n", + "mean 6.443003 0.599317 1978.132443 1.766815 472.819734 \n", + "std 1.572964 0.647921 25.528411 0.760566 215.046549 \n", + "min 2.000000 0.000000 1895.000000 0.000000 0.000000 \n", + "25% 5.000000 0.000000 1960.000000 1.000000 320.000000 \n", + "50% 6.000000 1.000000 1979.000000 2.000000 480.000000 \n", + "75% 7.000000 1.000000 2002.000000 2.000000 576.000000 \n", + "max 15.000000 4.000000 2207.000000 5.000000 1488.000000 \n", + "\n", + " Wood Deck SF Open Porch SF Enclosed Porch 3Ssn Porch Screen Porch \\\n", + "count 2930.000000 2930.000000 2930.000000 2930.000000 2930.000000 \n", + "mean 93.751877 47.533447 23.011604 2.592491 16.002048 \n", + "std 126.361562 67.483400 64.139059 25.141331 56.087370 \n", + "min 0.000000 0.000000 0.000000 0.000000 0.000000 \n", + "25% 0.000000 0.000000 0.000000 0.000000 0.000000 \n", + "50% 0.000000 27.000000 0.000000 0.000000 0.000000 \n", + "75% 168.000000 70.000000 0.000000 0.000000 0.000000 \n", + "max 1424.000000 742.000000 1012.000000 508.000000 576.000000 \n", + "\n", + " Pool Area Misc Val Mo Sold Yr Sold SalePrice \n", + "count 2930.000000 2930.000000 2930.000000 2930.000000 2930.000000 \n", + "mean 2.243345 50.635154 6.216041 2007.790444 180796.060068 \n", + "std 35.597181 566.344288 2.714492 1.316613 79886.692357 \n", + "min 0.000000 0.000000 1.000000 2006.000000 12789.000000 \n", + "25% 0.000000 0.000000 4.000000 2007.000000 129500.000000 \n", + "50% 0.000000 0.000000 6.000000 2008.000000 160000.000000 \n", + "75% 0.000000 0.000000 8.000000 2009.000000 213500.000000 \n", + "max 800.000000 17000.000000 12.000000 2010.000000 755000.000000 \n", + " MS Zoning Street Alley Lot Shape Land Contour Utilities Lot Config \\\n", + "count 2930 2930 198 2930 2930 2930 2930 \n", + "unique 7 2 2 4 4 3 5 \n", + "top RL Pave Grvl Reg Lvl AllPub Inside \n", + "freq 2273 2918 120 1859 2633 2927 2140 \n", + "\n", + " Land Slope Neighborhood Condition 1 Condition 2 Bldg Type House Style \\\n", + "count 2930 2930 2930 2930 2930 2930 \n", + "unique 3 28 9 8 5 8 \n", + "top Gtl NAmes Norm Norm 1Fam 1Story \n", + "freq 2789 443 2522 2900 2425 1481 \n", + "\n", + " Roof Style Roof Matl Exterior 1st Exterior 2nd Mas Vnr Type Exter Qual \\\n", + "count 2930 2930 2930 2930 1155 2930 \n", + "unique 6 8 16 17 4 4 \n", + "top Gable CompShg VinylSd VinylSd BrkFace TA \n", + "freq 2321 2887 1026 1015 880 1799 \n", + "\n", + " Exter Cond Foundation Bsmt Qual Bsmt Cond Bsmt Exposure BsmtFin Type 1 \\\n", + "count 2930 2930 2850 2850 2847 2850 \n", + "unique 5 6 5 5 4 6 \n", + "top TA PConc TA TA No GLQ \n", + "freq 2549 1310 1283 2616 1906 859 \n", + "\n", + " BsmtFin Type 2 Heating Heating QC Central Air Electrical Kitchen Qual \\\n", + "count 2849 2930 2930 2930 2929 2930 \n", + "unique 6 6 5 2 5 5 \n", + "top Unf GasA Ex Y SBrkr TA \n", + "freq 2499 2885 1495 2734 2682 1494 \n", + "\n", + " Functional Fireplace Qu Garage Type Garage Finish Garage Qual \\\n", + "count 2930 1508 2773 2771 2771 \n", + "unique 8 5 6 3 5 \n", + "top Typ Gd Attchd Unf TA \n", + "freq 2728 744 1731 1231 2615 \n", + "\n", + " Garage Cond Paved Drive Pool QC Fence Misc Feature Sale Type \\\n", + "count 2771 2930 13 572 106 2930 \n", + "unique 5 3 4 4 5 10 \n", + "top TA Y Ex MnPrv Shed WD \n", + "freq 2665 2652 4 330 95 2536 \n", + "\n", + " Sale Condition \n", + "count 2930 \n", + "unique 6 \n", + "top Normal \n", + "freq 2413 \n", + "Order: [ 1 2 3 ... 2928 2929 2930]\n", + "PID: [526301100 526350040 526351010 ... 923400125 924100070 924151050]\n", + "MS SubClass: [ 20 60 120 50 85 160 80 30 90 190 45 70 75 40 180 150]\n", + "MS Zoning: ['RL' 'RH' 'FV' 'RM' 'C (all)' 'I (all)' 'A (agr)']\n", + "Lot Frontage: [141. 80. 81. 93. 74. 78. 41. 43. 39. 60. 75. nan 63. 85.\n", + " 47. 152. 88. 140. 105. 65. 70. 26. 21. 53. 24. 102. 98. 83.\n", + " 94. 95. 90. 79. 100. 44. 110. 61. 36. 67. 108. 59. 92. 58.\n", + " 56. 73. 72. 84. 76. 50. 55. 68. 107. 25. 30. 57. 40. 77.\n", + " 120. 137. 87. 119. 64. 96. 71. 69. 52. 51. 54. 86. 124. 82.\n", + " 38. 48. 89. 66. 45. 35. 129. 31. 42. 28. 99. 104. 97. 103.\n", + " 34. 117. 149. 122. 62. 174. 106. 112. 32. 115. 128. 91. 33. 121.\n", + " 144. 130. 109. 150. 113. 125. 101. 46. 114. 135. 136. 37. 22. 313.\n", + " 49. 123. 160. 195. 118. 134. 182. 116. 138. 155. 126. 200. 168. 111.\n", + " 131. 153. 133.]\n", + "Lot Area: [31770 11622 14267 ... 7937 8885 10441]\n", + "Street: ['Pave' 'Grvl']\n", + "Alley: [nan 'Pave' 'Grvl']\n", + "Lot Shape: ['IR1' 'Reg' 'IR2' 'IR3']\n", + "Land Contour: ['Lvl' 'HLS' 'Bnk' 'Low']\n", + "Utilities: ['AllPub' 'NoSewr' 'NoSeWa']\n", + "Lot Config: ['Corner' 'Inside' 'CulDSac' 'FR2' 'FR3']\n", + "Land Slope: ['Gtl' 'Mod' 'Sev']\n", + "Neighborhood: ['NAmes' 'Gilbert' 'StoneBr' 'NWAmes' 'Somerst' 'BrDale' 'NPkVill'\n", + " 'NridgHt' 'Blmngtn' 'NoRidge' 'SawyerW' 'Sawyer' 'Greens' 'BrkSide'\n", + " 'OldTown' 'IDOTRR' 'ClearCr' 'SWISU' 'Edwards' 'CollgCr' 'Crawfor'\n", + " 'Blueste' 'Mitchel' 'Timber' 'MeadowV' 'Veenker' 'GrnHill' 'Landmrk']\n", + "Condition 1: ['Norm' 'Feedr' 'PosN' 'RRNe' 'RRAe' 'Artery' 'PosA' 'RRAn' 'RRNn']\n", + "Condition 2: ['Norm' 'Feedr' 'PosA' 'PosN' 'Artery' 'RRNn' 'RRAe' 'RRAn']\n", + "Bldg Type: ['1Fam' 'TwnhsE' 'Twnhs' 'Duplex' '2fmCon']\n", + "House Style: ['1Story' '2Story' '1.5Fin' 'SFoyer' 'SLvl' '2.5Unf' '1.5Unf' '2.5Fin']\n", + "Overall Qual: [ 6 5 7 8 9 4 3 2 10 1]\n", + "Overall Cond: [5 6 7 2 8 4 9 3 1]\n", + "Year Built: [1960 1961 1958 1968 1997 1998 2001 1992 1995 1999 1993 1990 1985 2003\n", + " 1988 2010 1951 1978 1977 1974 2000 1970 1971 1975 2009 2007 2005 2004\n", + " 2002 2006 1996 1994 2008 1980 1979 1984 1920 1965 1967 1963 1962 1976\n", + " 1972 1966 1959 1964 1950 1952 1949 1940 1954 1955 1957 1956 1953 1948\n", + " 1900 1910 1927 1915 1945 1929 1938 1923 1928 1890 1885 1922 1925 1939\n", + " 1942 1936 1930 1921 1912 1917 1907 1875 1969 1947 1946 1987 1941 1924\n", + " 1914 1931 1919 1989 1896 1973 1991 1981 1986 1916 1926 1935 1892 1898\n", + " 1880 1882 1937 1902 1934 1982 1983 1932 1918 1904 1905 1872 1893 1906\n", + " 1908 1911 1895 1879 1901 1913]\n", + "Year Remod/Add: [1960 1961 1958 1968 1998 2001 1992 1996 1999 1994 2007 1990 1985 2003\n", + " 2005 2010 1951 1988 1977 1974 2000 1970 2008 1971 1975 1978 2006 2004\n", + " 2002 1995 2009 1980 1979 1984 1981 1950 1967 1963 1993 1966 1959 1964\n", + " 1954 1972 1989 1957 1956 1952 1955 1962 1997 1965 1969 1987 1976 1991\n", + " 1973 1986 1983 1953 1982]\n", + "Roof Style: ['Hip' 'Gable' 'Mansard' 'Gambrel' 'Shed' 'Flat']\n", + "Roof Matl: ['CompShg' 'WdShake' 'Tar&Grv' 'WdShngl' 'Membran' 'ClyTile' 'Roll'\n", + " 'Metal']\n", + "Exterior 1st: ['BrkFace' 'VinylSd' 'Wd Sdng' 'CemntBd' 'HdBoard' 'Plywood' 'MetalSd'\n", + " 'AsbShng' 'WdShing' 'Stucco' 'AsphShn' 'BrkComm' 'CBlock' 'PreCast'\n", + " 'Stone' 'ImStucc']\n", + "Exterior 2nd: ['Plywood' 'VinylSd' 'Wd Sdng' 'BrkFace' 'CmentBd' 'HdBoard' 'Wd Shng'\n", + " 'MetalSd' 'ImStucc' 'Brk Cmn' 'AsbShng' 'Stucco' 'AsphShn' 'CBlock'\n", + " 'Stone' 'PreCast' 'Other']\n", + "Mas Vnr Type: ['Stone' nan 'BrkFace' 'BrkCmn' 'CBlock']\n", + "Mas Vnr Area: [1.120e+02 0.000e+00 1.080e+02 2.000e+01 6.030e+02 3.500e+02 1.190e+02\n", + " 4.800e+02 8.100e+01 1.800e+02 5.040e+02 4.920e+02 3.810e+02 1.620e+02\n", + " 2.000e+02 4.500e+02 2.560e+02 2.260e+02 6.150e+02 2.400e+02 1.680e+02\n", + " 7.600e+02 1.280e+02 1.095e+03 2.320e+02 4.120e+02 1.780e+02 1.060e+02\n", + " 1.400e+01 1.600e+01 nan 1.650e+02 1.140e+02 3.380e+02 3.620e+02\n", + " 3.480e+02 3.000e+01 5.790e+02 3.600e+01 1.220e+02 1.300e+02 3.100e+01\n", + " 2.500e+02 1.200e+02 2.160e+02 4.320e+02 1.159e+03 2.890e+02 2.800e+01\n", + " 4.200e+01 1.720e+02 4.510e+02 2.680e+02 8.600e+01 1.560e+02 1.440e+02\n", + " 2.650e+02 3.400e+02 1.100e+02 1.640e+02 3.610e+02 2.870e+02 5.060e+02\n", + " 1.500e+02 2.200e+02 3.240e+02 9.100e+01 1.040e+02 3.000e+02 2.610e+02\n", + " 2.180e+02 3.510e+02 7.710e+02 2.940e+02 9.000e+01 7.200e+01 4.700e+01\n", + " 1.430e+02 3.280e+02 2.880e+02 9.600e+01 3.360e+02 1.770e+02 8.500e+01\n", + " 2.460e+02 2.400e+01 8.000e+01 1.160e+02 1.530e+02 3.200e+02 4.790e+02\n", + " 2.230e+02 4.420e+02 1.700e+02 1.690e+02 1.710e+02 1.090e+02 9.800e+01\n", + " 1.450e+02 2.030e+02 3.710e+02 4.300e+02 4.400e+01 1.860e+02 3.350e+02\n", + " 6.000e+01 8.400e+01 1.890e+02 4.400e+02 1.880e+02 3.200e+01 1.600e+02\n", + " 2.200e+01 4.000e+01 6.800e+01 4.500e+01 3.440e+02 7.480e+02 4.640e+02\n", + " 1.570e+02 2.780e+02 2.090e+02 1.260e+02 1.010e+02 2.290e+02 2.250e+02\n", + " 2.060e+02 1.610e+02 1.960e+02 1.740e+02 3.330e+02 7.600e+01 3.120e+02\n", + " 1.420e+02 4.250e+02 5.100e+02 2.300e+02 7.260e+02 8.600e+02 6.400e+02\n", + " 3.060e+02 1.540e+02 3.050e+02 4.200e+02 4.720e+02 4.240e+02 3.020e+02\n", + " 2.380e+02 2.840e+02 2.620e+02 2.850e+02 2.960e+02 4.180e+02 9.220e+02\n", + " 7.240e+02 3.830e+02 1.350e+02 1.760e+02 1.660e+02 7.300e+02 4.700e+02\n", + " 3.080e+02 5.000e+02 2.700e+02 1.630e+02 1.100e+01 2.100e+02 2.980e+02\n", + " 6.730e+02 7.310e+02 9.750e+02 9.210e+02 6.340e+02 2.860e+02 3.720e+02\n", + " 5.280e+02 1.940e+02 2.600e+02 1.980e+02 1.210e+02 1.000e+02 2.640e+02\n", + " 1.400e+02 1.320e+02 3.660e+02 1.410e+02 1.150e+02 2.800e+02 2.520e+02\n", + " 8.940e+02 5.130e+02 4.560e+02 5.710e+02 3.590e+02 2.830e+02 3.600e+02\n", + " 5.090e+02 7.000e+01 9.500e+01 2.170e+02 3.000e+00 2.470e+02 5.760e+02\n", + " 1.830e+02 3.990e+02 6.500e+02 6.570e+02 2.950e+02 3.680e+02 8.200e+01\n", + " 1.240e+02 4.440e+02 9.200e+01 8.900e+01 2.300e+01 5.400e+01 1.490e+02\n", + " 2.340e+02 1.370e+02 2.750e+02 2.420e+02 3.640e+02 3.520e+02 1.360e+02\n", + " 2.040e+02 5.730e+02 2.550e+02 7.400e+01 2.590e+02 8.800e+01 5.410e+02\n", + " 4.060e+02 3.100e+02 5.840e+02 2.900e+02 1.820e+02 7.500e+01 2.450e+02\n", + " 1.230e+02 1.020e+02 6.210e+02 6.600e+02 4.020e+02 1.580e+02 4.220e+02\n", + " 1.270e+02 6.040e+02 3.560e+02 6.500e+01 4.260e+02 2.720e+02 8.160e+02\n", + " 4.360e+02 5.540e+02 4.680e+02 6.800e+02 6.640e+02 2.920e+02 1.110e+03\n", + " 2.210e+02 7.660e+02 6.160e+02 7.140e+02 1.460e+02 3.180e+02 6.470e+02\n", + " 1.290e+03 4.730e+02 4.950e+02 4.660e+02 6.510e+02 4.480e+02 5.300e+01\n", + " 7.680e+02 3.800e+01 2.580e+02 3.040e+02 5.680e+02 1.790e+02 2.120e+02\n", + " 1.050e+03 5.640e+02 3.420e+02 1.480e+02 2.430e+02 4.910e+02 2.370e+02\n", + " 4.100e+02 1.510e+02 1.870e+02 3.870e+02 5.200e+01 1.250e+02 2.760e+02\n", + " 4.150e+02 3.900e+01 4.100e+01 2.990e+02 9.900e+01 1.900e+02 2.510e+02\n", + " 2.810e+02 2.270e+02 2.020e+02 3.960e+02 1.340e+02 1.920e+02 2.050e+02\n", + " 2.150e+02 1.130e+02 5.000e+01 2.660e+02 1.470e+02 2.220e+02 7.960e+02\n", + " 5.800e+01 6.320e+02 6.680e+02 2.280e+02 2.190e+02 6.740e+02 1.970e+02\n", + " 1.115e+03 1.380e+02 7.100e+02 9.450e+02 6.700e+01 5.490e+02 2.330e+02\n", + " 2.530e+02 2.630e+02 3.650e+02 5.670e+02 3.760e+02 3.780e+02 4.520e+02\n", + " 2.540e+02 3.150e+02 4.000e+02 3.750e+02 7.720e+02 2.480e+02 9.700e+02\n", + " 5.020e+02 3.880e+02 3.940e+02 2.350e+02 5.150e+02 7.050e+02 1.170e+03\n", + " 5.940e+02 3.090e+02 5.260e+02 7.540e+02 2.080e+02 4.280e+02 3.530e+02\n", + " 1.050e+02 5.700e+01 3.370e+02 1.129e+03 1.600e+03 6.000e+02 1.000e+00\n", + " 5.250e+02 6.600e+01 6.300e+01 5.600e+01 2.240e+02 8.700e+01 2.910e+02\n", + " 6.900e+01 2.790e+02 4.350e+02 3.230e+02 1.670e+02 5.100e+01 2.140e+02\n", + " 5.190e+02 4.380e+02 4.800e+01 1.224e+03 7.620e+02 4.230e+02 1.840e+02\n", + " 6.520e+02 4.810e+02 2.390e+02 2.740e+02 1.170e+02 8.860e+02 2.360e+02\n", + " 9.400e+01 2.440e+02 9.020e+02 4.340e+02 2.700e+01 6.620e+02 7.340e+02\n", + " 5.500e+02 1.031e+03 3.400e+01 5.140e+02 4.080e+02 3.800e+02 2.970e+02\n", + " 3.700e+02 3.850e+02 7.880e+02 5.620e+02 8.700e+02 5.180e+02 5.720e+02\n", + " 1.800e+01 3.220e+02 1.378e+03 8.770e+02 5.300e+02 3.970e+02 7.380e+02\n", + " 5.010e+02 3.910e+02 1.180e+02 4.600e+01 6.920e+02 3.320e+02 1.750e+02\n", + " 6.400e+01 5.220e+02 1.047e+03 3.790e+02 2.070e+02 9.700e+01 5.320e+02\n", + " 6.200e+01 1.990e+02 3.550e+02 4.590e+02 4.050e+02 3.270e+02 2.570e+02\n", + " 2.930e+02 6.530e+02 6.300e+02 3.820e+02 4.430e+02]\n", + "Exter Qual: ['TA' 'Gd' 'Ex' 'Fa']\n", + "Exter Cond: ['TA' 'Gd' 'Fa' 'Po' 'Ex']\n", + "Foundation: ['CBlock' 'PConc' 'Wood' 'BrkTil' 'Slab' 'Stone']\n", + "Bsmt Qual: ['TA' 'Gd' 'Ex' nan 'Fa' 'Po']\n", + "Bsmt Cond: ['Gd' 'TA' nan 'Po' 'Fa' 'Ex']\n", + "Bsmt Exposure: ['Gd' 'No' 'Mn' 'Av' nan]\n", + "BsmtFin Type 1: ['BLQ' 'Rec' 'ALQ' 'GLQ' 'Unf' 'LwQ' nan]\n", + "BsmtFin SF 1: [6.390e+02 4.680e+02 9.230e+02 1.065e+03 7.910e+02 6.020e+02 6.160e+02\n", + " 2.630e+02 1.180e+03 0.000e+00 9.350e+02 6.370e+02 3.680e+02 1.416e+03\n", + " 4.270e+02 1.445e+03 1.200e+02 7.900e+02 7.050e+02 8.850e+02 5.330e+02\n", + " 5.780e+02 7.340e+02 7.750e+02 8.040e+02 4.320e+02 1.051e+03 1.560e+02\n", + " 3.000e+02 3.600e+02 5.140e+02 3.110e+02 1.218e+03 1.646e+03 1.201e+03\n", + " 1.100e+02 2.800e+01 2.000e+00 2.188e+03 7.330e+02 1.373e+03 4.560e+02\n", + " 2.400e+01 1.600e+01 3.260e+02 6.250e+02 2.500e+02 9.190e+02 1.032e+03\n", + " 5.240e+02 8.160e+02 1.078e+03 2.220e+02 1.414e+03 6.560e+02 6.950e+02\n", + " 5.430e+02 6.230e+02 4.020e+02 3.380e+02 8.990e+02 5.530e+02 4.500e+02\n", + " 8.240e+02 6.590e+02 1.260e+02 6.740e+02 1.129e+03 1.298e+03 2.800e+02\n", + " 3.760e+02 3.780e+02 4.660e+02 6.040e+02 2.440e+02 4.840e+02 7.280e+02\n", + " 1.052e+03 8.330e+02 5.060e+02 1.137e+03 1.200e+03 6.870e+02 3.940e+02\n", + " 9.820e+02 3.290e+02 6.980e+02 5.690e+02 1.059e+03 1.010e+03 1.014e+03\n", + " 7.630e+02 1.500e+03 4.900e+01 6.700e+02 6.960e+02 3.540e+02 5.400e+02\n", + " 9.440e+02 4.430e+02 9.120e+02 2.470e+02 1.188e+03 8.560e+02 1.018e+03\n", + " 9.220e+02 1.000e+03 6.970e+02 9.360e+02 3.390e+02 6.480e+02 5.320e+02\n", + " 7.310e+02 3.200e+02 2.480e+02 1.056e+03 7.200e+01 4.810e+02 3.400e+02\n", + " 5.070e+02 2.340e+02 5.880e+02 7.170e+02 4.800e+01 5.790e+02 2.740e+02\n", + " 5.100e+02 7.800e+02 1.760e+02 6.860e+02 6.000e+02 2.830e+02 7.880e+02\n", + " 4.740e+02 1.880e+02 4.520e+02 2.640e+02 2.760e+02 4.480e+02 9.600e+02\n", + " 1.040e+02 7.660e+02 1.026e+03 7.300e+01 7.360e+02 7.040e+02 8.410e+02\n", + " 1.302e+03 8.420e+02 2.400e+02 3.710e+02 1.319e+03 2.670e+02 4.380e+02\n", + " 1.092e+03 4.420e+02 1.258e+03 9.640e+02 2.880e+02 1.080e+02 7.390e+02\n", + " 1.920e+02 9.540e+02 3.600e+01 1.346e+03 1.433e+03 8.600e+02 7.500e+02\n", + " 7.470e+02 1.470e+03 5.040e+02 8.700e+02 3.530e+02 5.050e+02 1.980e+02\n", + " 1.820e+02 4.800e+02 1.682e+03 1.358e+03 4.830e+02 6.720e+02 6.620e+02\n", + " 3.700e+02 7.120e+02 1.070e+03 5.280e+02 4.220e+02 9.400e+01 3.480e+02\n", + " 3.830e+02 1.330e+02 2.030e+02 2.180e+02 2.380e+02 4.260e+02 3.750e+02\n", + " 2.750e+02 1.406e+03 3.430e+02 7.600e+01 1.247e+03 7.350e+02 3.080e+02\n", + " 6.150e+02 6.790e+02 5.390e+02 7.800e+01 6.240e+02 4.200e+01 3.340e+02\n", + " 9.150e+02 1.290e+02 1.500e+02 2.940e+02 4.690e+02 5.930e+02 2.070e+02\n", + " 4.580e+02 4.760e+02 1.341e+03 5.640e+02 8.440e+02 1.410e+03 8.470e+02\n", + " 8.500e+02 2.840e+02 1.320e+03 1.965e+03 1.158e+03 3.410e+02 7.410e+02\n", + " 1.890e+02 3.100e+02 5.600e+02 6.940e+02 1.036e+03 1.904e+03 1.274e+03\n", + " 4.000e+02 6.920e+02 8.220e+02 1.246e+03 3.630e+02 8.320e+02 1.104e+03\n", + " 3.810e+02 6.220e+02 5.440e+02 2.250e+02 1.333e+03 8.880e+02 6.360e+02\n", + " 8.280e+02 4.390e+02 5.000e+02 7.260e+02 1.910e+02 2.540e+02 7.650e+02\n", + " 1.620e+02 2.310e+02 9.580e+02 3.060e+02 5.660e+02 4.350e+02 2.570e+02\n", + " 3.890e+02 2.790e+02 5.360e+02 6.440e+02 1.172e+03 1.360e+03 1.767e+03\n", + " 1.572e+03 9.860e+02 1.232e+03 1.436e+03 1.338e+03 2.288e+03 1.531e+03\n", + " 1.230e+03 1.015e+03 1.088e+03 1.037e+03 1.142e+03 1.170e+03 1.039e+03\n", + " 1.124e+03 1.262e+03 5.600e+01 1.972e+03 8.360e+02 9.000e+02 8.810e+02\n", + " 8.760e+02 9.040e+02 2.146e+03 1.557e+03 8.000e+02 1.196e+03 8.630e+02\n", + " 5.670e+02 9.880e+02 4.250e+02 6.520e+02 4.940e+02 6.510e+02 2.410e+02\n", + " 6.830e+02 9.130e+02 7.720e+02 1.163e+03 6.890e+02 1.173e+03 7.810e+02\n", + " 8.540e+02 2.360e+02 9.870e+02 1.361e+03 5.950e+02 1.294e+03 3.790e+02\n", + " 2.158e+03 2.700e+01 1.121e+03 6.820e+02 8.120e+02 1.430e+03 4.100e+02\n", + " 7.710e+02 5.400e+01 5.160e+02 9.760e+02 2.000e+01 5.200e+01 3.310e+02\n", + " 6.800e+01 6.600e+02 8.640e+02 5.940e+02 1.400e+02 1.733e+03 6.010e+02\n", + " 9.620e+02 5.490e+02 6.490e+02 1.252e+03 1.210e+02 1.116e+03 2.980e+02\n", + " 8.590e+02 9.550e+02 1.440e+02 6.430e+02 2.510e+02 4.030e+02 6.120e+02\n", + " 1.960e+02 9.980e+02 7.400e+02 3.880e+02 9.910e+02 5.680e+02 1.000e+02\n", + " 1.850e+02 1.024e+03 1.285e+03 6.070e+02 1.312e+03 6.090e+02 1.387e+03\n", + " 4.540e+02 7.080e+02 6.200e+02 5.850e+02 1.720e+02 1.550e+02 1.213e+03\n", + " 4.900e+02 4.280e+02 6.500e+02 7.000e+02 9.310e+02 4.400e+02 6.990e+02\n", + " 3.900e+02 6.800e+02 3.150e+02 3.840e+02 8.720e+02 7.450e+02 5.460e+02\n", + " 1.270e+03 6.210e+02 1.800e+02 6.300e+02 4.330e+02 1.148e+03 9.410e+02\n", + " 8.260e+02 6.330e+02 4.210e+02 3.120e+02 2.160e+02 4.950e+02 1.309e+03\n", + " 2.200e+02 4.050e+02 2.090e+02 2.730e+02 1.340e+02 2.990e+02 5.220e+02\n", + " 1.520e+02 1.690e+02 7.490e+02 1.152e+03 3.500e+02 5.510e+02 4.440e+02\n", + " 2.260e+02 5.270e+02 6.850e+02 1.700e+02 1.324e+03 2.620e+02 3.420e+02\n", + " 3.440e+02 1.730e+02 5.520e+02 2.920e+02 2.040e+02 4.600e+02 7.000e+01\n", + " 1.441e+03 4.850e+02 5.130e+02 5.840e+02 1.086e+03 1.094e+03 8.200e+02\n", + " 1.021e+03 1.288e+03 1.359e+03 1.334e+03 9.020e+02 7.240e+02 1.518e+03\n", + " 2.490e+02 7.320e+02 7.550e+02 8.210e+02 3.850e+02 9.500e+02 7.460e+02\n", + " 6.060e+02 6.660e+02 1.259e+03 7.100e+02 6.460e+02 7.770e+02 1.234e+03\n", + " 9.900e+02 6.900e+02 1.111e+03 1.478e+03 1.930e+02 5.350e+02 3.990e+02\n", + " 6.310e+02 5.470e+02 3.320e+02 6.260e+02 4.080e+02 2.900e+02 5.230e+02\n", + " 7.930e+02 7.130e+02 2.460e+02 1.540e+02 6.500e+01 7.840e+02 4.710e+02\n", + " 2.850e+02 8.030e+02 8.080e+02 1.476e+03 4.450e+02 1.351e+03 7.670e+02\n", + " 6.110e+02 5.500e+01 1.110e+02 1.236e+03 1.022e+03 1.758e+03 1.115e+03\n", + " 1.005e+03 4.620e+02 1.260e+03 1.640e+03 8.660e+02 8.830e+02 5.150e+02\n", + " 5.090e+02 7.200e+02 1.140e+02 1.097e+03 7.180e+02 3.300e+02 1.567e+03\n", + " 4.960e+02 8.650e+02 7.060e+02 8.510e+02 1.380e+02 1.153e+03 2.190e+02\n", + " 3.190e+02 1.337e+03 1.034e+03 9.830e+02 1.206e+03 8.960e+02 8.900e+02\n", + " 1.084e+03 1.023e+03 2.520e+02 1.190e+02 2.660e+02 3.210e+02 3.870e+02\n", + " 3.580e+02 5.590e+02 2.860e+02 1.336e+03 1.280e+03 1.636e+03 1.330e+03\n", + " 1.012e+03 1.400e+03 1.728e+03 1.375e+03 1.420e+03 1.082e+03 1.249e+03\n", + " 4.000e+01 2.257e+03 1.016e+03 1.149e+03 1.075e+03 3.720e+02 1.540e+03\n", + " 1.204e+03 8.460e+02 5.730e+02 1.073e+03 1.087e+03 7.590e+02 6.550e+02\n", + " 1.660e+03 1.696e+03 2.280e+02 1.314e+03 1.096e+03 3.300e+01 7.290e+02\n", + " 7.890e+02 5.030e+02 8.000e+01 8.140e+02 3.620e+02 1.138e+03 5.370e+02\n", + " 4.720e+02 3.970e+02 1.650e+02 5.300e+01 7.370e+02 7.640e+02 4.890e+02\n", + " 1.900e+02 5.200e+02 5.500e+02 1.027e+03 1.004e+03 1.141e+03 1.238e+03\n", + " 6.810e+02 8.130e+02 1.280e+02 7.860e+02 1.619e+03 1.044e+03 3.010e+02\n", + " 6.030e+02 9.560e+02 2.600e+02 5.830e+02 5.750e+02 8.670e+02 7.760e+02\n", + " 8.920e+02 7.870e+02 8.060e+02 4.190e+02 6.580e+02 3.200e+01 8.310e+02\n", + " 5.310e+02 5.720e+02 2.500e+01 1.053e+03 1.040e+03 5.700e+02 7.740e+02\n", + " 1.480e+02 8.520e+02 5.800e+02 7.440e+02 3.740e+02 6.730e+02 9.600e+01\n", + " 4.930e+02 5.900e+02 1.160e+02 1.410e+02 2.590e+02 2.000e+02 4.060e+02\n", + " 1.750e+02 5.210e+02 2.010e+02 nan 3.360e+02 2.100e+02 3.510e+02\n", + " 9.060e+02 7.580e+02 7.020e+02 2.210e+02 1.198e+03 1.300e+03 6.340e+02\n", + " 1.064e+03 4.290e+02 1.003e+03 3.920e+02 5.990e+02 7.190e+02 1.035e+03\n", + " 3.240e+02 9.690e+02 1.085e+03 7.790e+02 1.271e+03 3.550e+02 2.085e+03\n", + " 5.000e+01 7.700e+02 7.220e+02 1.308e+03 6.880e+02 3.610e+02 6.630e+02\n", + " 4.860e+02 8.800e+01 6.320e+02 6.680e+02 1.194e+03 1.538e+03 6.420e+02\n", + " 9.940e+02 1.593e+03 8.100e+02 9.460e+02 8.300e+02 1.033e+03 9.200e+02\n", + " 5.644e+03 4.590e+02 3.520e+02 2.240e+02 4.100e+01 4.230e+02 2.810e+02\n", + " 3.660e+02 8.100e+01 5.380e+02 1.480e+03 1.474e+03 6.410e+02 1.383e+03\n", + " 8.930e+02 1.165e+03 1.513e+03 1.398e+03 7.830e+02 1.029e+03 1.223e+03\n", + " 8.710e+02 1.011e+03 1.571e+03 7.690e+02 3.180e+02 5.010e+02 4.370e+02\n", + " 7.850e+02 5.340e+02 6.380e+02 6.470e+02 5.620e+02 8.380e+02 7.780e+02\n", + " 1.880e+03 1.860e+02 4.140e+02 9.260e+02 1.101e+03 1.047e+03 7.970e+02\n", + " 9.450e+02 1.558e+03 6.780e+02 2.560e+02 1.328e+03 6.050e+02 9.030e+02\n", + " 4.920e+02 3.490e+02 2.820e+02 4.120e+02 3.220e+02 3.140e+02 9.300e+02\n", + " 3.560e+02 5.560e+02 7.250e+02 1.151e+03 1.304e+03 1.812e+03 1.350e+03\n", + " 1.684e+03 9.700e+02 9.380e+02 6.690e+02 1.178e+03 1.030e+03 7.620e+02\n", + " 8.480e+02 9.180e+02 5.740e+02 2.096e+03 1.181e+03 1.282e+03 1.048e+03\n", + " 1.455e+03 8.620e+02 5.650e+02 1.231e+03 3.350e+02 1.225e+03 1.220e+03\n", + " 9.290e+02 6.300e+01 1.126e+03 1.369e+03 6.400e+01 1.443e+03 4.300e+02\n", + " 4.170e+02 9.320e+02 8.270e+02 7.270e+02 1.250e+02 1.390e+03 9.680e+02\n", + " 4.820e+02 6.000e+01 9.370e+02 1.106e+03 4.200e+02 4.360e+02 2.390e+02\n", + " 9.010e+02 4.570e+02 1.732e+03 1.157e+03 9.780e+02 1.632e+03 4.980e+02\n", + " 7.380e+02 9.730e+02 9.100e+02 3.460e+02 8.190e+02 7.920e+02 9.160e+02\n", + " 6.170e+02 6.540e+02 2.700e+02 1.386e+03 1.300e+02 3.860e+02 1.870e+02\n", + " 8.730e+02 9.080e+02 6.080e+02 5.120e+02 5.860e+02 1.237e+03 4.410e+02\n", + " 8.500e+01 3.770e+02 2.420e+02 9.520e+02 3.980e+02 1.098e+03 7.820e+02\n", + " 1.680e+02 1.220e+02 3.160e+02 1.046e+03 3.170e+02 6.450e+02 1.970e+02\n", + " 9.250e+02 7.480e+02 2.580e+02 1.219e+03 5.870e+02 4.770e+02 4.910e+02\n", + " 4.530e+02 1.440e+03 5.570e+02 1.080e+03 4.970e+02 9.840e+02 1.150e+03\n", + " 6.640e+02 9.850e+02 5.100e+01 1.013e+03 5.020e+02 7.160e+02 6.710e+02\n", + " 1.464e+03 1.412e+03 1.079e+03 7.090e+02 1.320e+02 7.510e+02 9.800e+02\n", + " 4.010e+03 2.260e+03 4.670e+02 7.700e+01 1.130e+02 3.640e+02 3.650e+02\n", + " 1.128e+03 2.970e+02 1.186e+03 3.500e+01 5.770e+02 4.340e+02 5.480e+02\n", + " 9.670e+02 1.573e+03 1.001e+03 7.730e+02 1.392e+03 1.239e+03 9.240e+02\n", + " 9.490e+02 1.102e+03 2.150e+02 7.420e+02 1.329e+03 1.159e+03 2.060e+02\n", + " 8.400e+02 8.740e+02 1.310e+02 1.112e+03 7.960e+02 6.190e+02 8.110e+02\n", + " 1.090e+03 5.960e+02 2.120e+02 1.127e+03 1.110e+03 5.920e+02 7.140e+02\n", + " 5.700e+01 5.180e+02 2.050e+02 1.191e+03 1.422e+03 2.130e+02 1.002e+03\n", + " 7.950e+02 1.940e+02 7.500e+01 6.140e+02 9.510e+02 3.090e+02 3.820e+02\n", + " 3.730e+02 1.447e+03 1.505e+03 1.261e+03 1.290e+03 8.800e+02 4.150e+02\n", + " 5.540e+02 1.038e+03 1.154e+03 1.074e+03 1.182e+03 3.800e+02 1.562e+03\n", + " 1.721e+03 1.836e+03 9.050e+02 2.780e+02 1.332e+03 1.810e+02 4.650e+02\n", + " 1.118e+03 1.456e+03 1.009e+03 8.070e+02 1.810e+03 4.040e+02 7.600e+02\n", + " 7.990e+02 6.610e+02 4.160e+02 9.960e+02 7.560e+02 9.390e+02 8.950e+02\n", + " 9.140e+02 9.430e+02 2.710e+02 4.880e+02 7.010e+02 1.277e+03 4.550e+02\n", + " 3.690e+02 1.790e+02 8.090e+02 9.530e+02 2.080e+02 1.430e+02 5.760e+02\n", + " 3.470e+02 3.280e+02 7.940e+02 2.300e+02 2.610e+02 3.930e+02 6.840e+02\n", + " 4.640e+02 1.576e+03 1.122e+03 8.530e+02 1.162e+03 8.940e+02 9.750e+02\n", + " 4.750e+02 1.670e+02 6.910e+02 4.240e+02 3.050e+02 2.230e+02 5.260e+02\n", + " 2.960e+02 1.283e+03 1.564e+03 9.650e+02 9.090e+02 1.216e+03 1.136e+03\n", + " 1.460e+03 1.243e+03 8.970e+02 8.370e+02 1.490e+02 1.606e+03 1.224e+03\n", + " 3.370e+02 1.071e+03]\n", + "BsmtFin Type 2: ['Unf' 'LwQ' 'BLQ' 'Rec' nan 'GLQ' 'ALQ']\n", + "BsmtFin SF 2: [ 0. 144. 1120. 163. 168. 78. 119. 121. 117. 859. 981. 42.\n", + " 46. 81. 1029. 290. 132. 713. 162. 362. 240. 258. 174. 906.\n", + " 486. 350. 263. 1073. 692. 12. 159. 712. 668. 474. 453. 684.\n", + " 387. 688. 972. 127. 252. 334. 232. 480. 590. 284. 276. 472.\n", + " 239. 180. 294. 622. 495. 539. 479. 113. 1526. 360. 774. 364.\n", + " 596. 884. 311. 92. 216. 136. 32. 147. 1127. 466. 630. 201.\n", + " 345. 512. 230. 247. 661. 620. 202. 483. 750. 690. 105. 60.\n", + " 352. 102. 95. 465. 63. 262. 500. 670. 768. 393. 286. 450.\n", + " 177. 764. 344. 72. 243. 420. 210. 694. 875. 507. 435. 419.\n", + " 250. 116. 354. 820. 624. 273. 76. 270. 110. 288. 411. 228.\n", + " 186. 449. 48. 93. 438. 613. 852. 555. 841. 799. 811. 842.\n", + " 382. 182. 456. 80. 64. 336. 306. 308. 374. 872. 108. 52.\n", + " 196. 128. 488. 319. 532. 106. 169. 608. nan 41. 606. 645.\n", + " 492. 181. 956. 1080. 1063. 391. 380. 531. 723. 491. 120. 679.\n", + " 612. 40. 125. 279. 400. 208. 193. 823. 287. 175. 604. 153.\n", + " 35. 619. 139. 6. 351. 1031. 1037. 176. 829. 211. 264. 38.\n", + " 206. 167. 580. 543. 219. 259. 404. 468. 138. 955. 691. 66.\n", + " 96. 149. 154. 442. 448. 227. 546. 398. 469. 722. 761. 627.\n", + " 529. 522. 873. 891. 755. 1474. 634. 321. 915. 544. 417. 432.\n", + " 831. 278. 557. 150. 869. 1020. 530. 904. 499. 215. 1061. 377.\n", + " 791. 156. 1393. 1039. 375. 497. 1057. 526. 68. 402. 748. 28.\n", + " 165. 184. 281. 912. 600. 506. 373. 551. 982. 441. 682. 1085.\n", + " 826. 850. 1164. 1083. 337. 297. 547. 173. 396. 324. 123.]\n", + "Bsmt Unf SF: [ 441. 270. 406. ... 45. 1503. 239.]\n", + "Total Bsmt SF: [1080. 882. 1329. ... 1381. 757. 1003.]\n", + "Heating: ['GasA' 'GasW' 'Grav' 'Wall' 'Floor' 'OthW']\n", + "Heating QC: ['Fa' 'TA' 'Ex' 'Gd' 'Po']\n", + "Central Air: ['Y' 'N']\n", + "Electrical: ['SBrkr' 'FuseA' 'FuseF' 'FuseP' nan 'Mix']\n", + "1st Flr SF: [1656 896 1329 ... 2028 1003 1389]\n", + "2nd Flr SF: [ 0 701 678 776 892 676 1589 672 860 504 567 601 707 563\n", + " 862 630 1100 886 656 1151 1177 830 1122 1106 644 1185 783 956\n", + " 1128 828 888 790 730 584 1098 823 840 600 636 804 756 720\n", + " 550 873 754 1215 604 734 715 532 537 1169 505 546 1080 408\n", + " 475 788 687 348 765 424 606 185 686 1111 622 1044 602 582\n", + " 908 524 498 492 608 808 1074 780 662 1196 499 180 319 942\n", + " 744 240 689 714 954 192 864 558 755 838 887 1523 614 800\n", + " 878 703 1054 328 252 806 665 1788 772 748 1075 1152 358 380\n", + " 430 880 700 1194 1070 915 912 576 1216 650 615 645 704 663\n", + " 1275 670 631 833 684 809 785 779 978 988 1200 896 1134 868\n", + " 1103 816 839 741 467 586 1174 1325 568 1088 1012 762 1295 728\n", + " 745 742 876 716 1257 640 683 1276 1126 1032 793 695 1089 1038\n", + " 1097 1304 1221 1140 1336 1067 1274 967 1017 871 858 920 981 438\n", + " 1182 841 941 1209 897 591 786 702 918 1629 612 729 739 727\n", + " 983 782 660 1369 972 855 1315 224 556 960 457 685 726 322\n", + " 760 534 1296 368 768 629 813 406 548 517 455 496 690 994\n", + " 1000 682 646 560 677 564 1063 1320 917 624 826 561 596 653\n", + " 390 464 587 320 472 588 883 910 929 1040 784 462 649 425\n", + " 611 747 769 1114 1120 1619 902 718 815 966 836 834 913 844\n", + " 829 1116 573 885 926 977 807 738 1427 441 512 444 620 436\n", + " 545 998 595 448 332 523 1240 516 668 928 1157 432 846 566\n", + " 848 1020 717 1332 1370 857 1330 767 1420 866 1104 590 1237 898\n", + " 1158 1162 1096 1139 884 1285 778 1160 1053 639 1061 1250 1093 904\n", + " 1039 520 919 939 932 1028 843 861 842 794 825 850 893 1319\n", + " 959 625 792 628 924 1345 1066 732 1540 933 832 453 220 384\n", + " 412 510 182 501 581 375 680 1208 658 552 396 1818 797 540\n", + " 308 973 691 539 1254 363 473 594 378 554 208 468 651 445\n", + " 764 752 213 795 428 371 110 536 713 551 547 580 486 1051\n", + " 511 872 648 527 495 1721 1099 735 1072 899 870 895 903 1141\n", + " 1198 975 854 812 950 521 343 304 940 1611 811 673 442 890\n", + " 1479 817 943 330 420 936 167 688 766 770 1342 900 1377 845\n", + " 533 1402 1101 574 1036 570 1142 1238 1168 923 530 757 1048 796\n", + " 1112 1131 694 750 2065 1288 1407 1171 1277 1872 1015 1306 1203 995\n", + " 528 863 1426 925 1232 1357 743 976 761 1259 1008 984 1309 228\n", + " 992 500 544 1778 299 616 831 664 494 642 659 671 1031 336\n", + " 144 525 349 423 1164 356 698 245 592 1042 477 1005 971 1087\n", + " 638 400 376 1121 1414 1362 1092 916 882 927 874 914 881 869\n", + " 1242 1081 753 450 1133 674 1538 125 1440 787 531 585 514 775\n", + " 589 979 1001 851 1178 351 957 1340 1349 712 1243 955 709 990\n", + " 1384 1862 1371 1312 1405 1519 1392 1358 465 1347 1218 1060 466 1335\n", + " 814 488 1321 482 711 930 1286 985 1029 1796 1368 1567 1189 1323\n", + " 1234 798 1129 623 708 456 316 1360 1248 272 821 370 1007 518\n", + " 476 502 867 661 297 679 875 1518 605 810 325 434 583 634\n", + " 557 341 626 1836 541 454 1246 571 1037 1124 1045 989 827 1150\n", + " 312 526 218 980 403 493 736 818 901 610 725 549 1175 697\n", + " 439 360 1281 1230 1004]\n", + "Low Qual Fin SF: [ 0 390 362 144 1064 232 431 120 436 371 360 259 397 312\n", + " 513 108 205 156 697 420 384 473 512 528 114 479 515 53\n", + " 80 392 572 234 140 450 481 514]\n", + "Gr Liv Area: [1656 896 1329 ... 2028 2521 1003]\n", + "Bsmt Full Bath: [ 1. 0. 2. 3. nan]\n", + "Bsmt Half Bath: [ 0. 1. nan 2.]\n", + "Full Bath: [1 2 3 0 4]\n", + "Half Bath: [0 1 2]\n", + "Bedroom AbvGr: [3 2 1 4 6 5 0 8]\n", + "Kitchen AbvGr: [1 2 3 0]\n", + "Kitchen Qual: ['TA' 'Gd' 'Ex' 'Fa' 'Po']\n", + "TotRms AbvGrd: [ 7 5 6 8 4 12 10 11 9 3 13 2 15 14]\n", + "Functional: ['Typ' 'Mod' 'Min1' 'Min2' 'Maj1' 'Maj2' 'Sev' 'Sal']\n", + "Fireplaces: [2 0 1 3 4]\n", + "Fireplace Qu: ['Gd' nan 'TA' 'Po' 'Ex' 'Fa']\n", + "Garage Type: ['Attchd' 'BuiltIn' 'Basment' 'Detchd' nan 'CarPort' '2Types']\n", + "Garage Yr Blt: [1960. 1961. 1958. 1968. 1997. 1998. 2001. 1992. 1995. 1999. 1993. 1990.\n", + " 1985. 2003. 1988. 2010. 1951. 1978. 1977. 1974. 2000. 1970. 1971. nan\n", + " 1975. 2009. 2008. 2005. 2004. 2002. 2006. 1996. 1994. 1980. 1979. 1984.\n", + " 1986. 1920. 1987. 1973. 1963. 1962. 1976. 1967. 1972. 1966. 1964. 1950.\n", + " 1949. 1954. 1955. 1959. 1957. 1956. 1952. 1953. 1989. 1948. 1900. 1927.\n", + " 1915. 1945. 1940. 1938. 1928. 1930. 1926. 1939. 1942. 1923. 1917. 1910.\n", + " 1965. 1969. 1947. 1946. 1941. 1924. 1922. 1896. 2007. 1983. 1981. 1991.\n", + " 1982. 1916. 1925. 1936. 1935. 1931. 1934. 1929. 1918. 1921. 1937. 1932.\n", + " 1906. 1908. 1895. 1933. 2207. 1914. 1943. 1919.]\n", + "Garage Finish: ['Fin' 'Unf' 'RFn' nan]\n", + "Garage Cars: [ 2. 1. 3. 0. 4. 5. nan]\n", + "Garage Area: [ 528. 730. 312. 522. 482. 470. 582. 506. 608. 442. 440. 420.\n", + " 393. 841. 492. 834. 400. 500. 546. 663. 480. 304. 525. 0.\n", + " 511. 264. 320. 308. 751. 772. 606. 868. 532. 678. 820. 484.\n", + " 958. 756. 576. 474. 430. 437. 433. 434. 779. 962. 527. 712.\n", + " 671. 486. 666. 880. 676. 614. 750. 618. 463. 462. 457. 476.\n", + " 429. 539. 336. 280. 260. 461. 564. 762. 713. 588. 496. 852.\n", + " 592. 475. 596. 535. 660. 441. 490. 504. 517. 240. 364. 244.\n", + " 315. 578. 620. 447. 294. 531. 263. 318. 305. 246. 392. 330.\n", + " 720. 360. 551. 379. 220. 780. 288. 416. 624. 923. 560. 363.\n", + " 200. 572. 180. 516. 672. 349. 365. 231. 450. 270. 299. 591.\n", + " 533. 690. 436. 586. 366. 467. 209. 460. 1017. 574. 776. 632.\n", + " 740. 615. 594. 580. 513. 523. 850. 670. 613. 621. 598. 502.\n", + " 494. 319. 352. 216. 399. 252. 567. 473. 625. 384. 741. 573.\n", + " 888. 520. 680. 510. 431. 746. 686. 286. 253. 495. 616. 275.\n", + " 538. 390. 758. 499. 396. 427. 380. 409. 389. 343. 565. 1166.\n", + " 435. 544. 529. 479. 542. 478. 581. 552. 583. 902. 477. 345.\n", + " 656. 786. 754. 840. 890. 1390. 864. 836. 896. 900. 842. 1020.\n", + " 932. 640. 908. 927. 856. 700. 738. 862. 644. 968. 886. 871.\n", + " 626. 949. 685. 649. 701. 550. 397. 432. 554. 394. 658. 410.\n", + " 810. 1069. 889. 815. 647. 623. 711. 898. 972. 726. 844. 689.\n", + " 795. 984. 692. 812. 782. 1043. 438. 628. 845. 555. 788. 559.\n", + " 465. 612. 732. 300. 524. 704. 561. 641. 642. 540. 784. 497.\n", + " 515. 630. 498. 768. 472. 610. 549. 645. 368. 505. 418. 338.\n", + " 271. 792. 530. 514. 509. 297. 350. 884. 230. 281. 907. 483.\n", + " 210. 162. 324. 256. 273. 287. 357. 424. 456. 207. 192. 250.\n", + " 1184. 164. 316. 226. 668. 452. 284. 303. 340. 234. 290. 266.\n", + " 296. 425. 466. 1138. 826. 860. 846. 904. 702. 662. 569. 577.\n", + " 493. 622. 605. 444. 600. 1231. 570. 736. 521. 512. 451. 195.\n", + " 313. 342. 215. 282. 213. 307. 186. 295. 501. 468. 189. 351.\n", + " 541. 912. 650. 885. 471. 765. 920. 412. 402. 602. 698. 714.\n", + " 601. 386. 404. 406. 682. 683. 557. 619. 489. 1314. 439. 787.\n", + " 774. 1220. 858. 905. 866. 706. 1150. 1003. 789. 870. 1052. 944.\n", + " 388. 428. 398. 403. 696. 687. 938. 839. 983. 783. 691. 830.\n", + " 824. 851. 603. 648. 936. 562. 673. 575. 627. 276. 636. 545.\n", + " 469. 464. 831. 267. 283. 205. 377. 292. 458. 301. 1488. 372.\n", + " 401. 414. 311. 225. 828. 869. 370. 208. 160. 355. 228. 322.\n", + " 408. 354. 249. 534. 453. 1348. 874. 811. 558. 328. 725. 715.\n", + " 543. 595. 508. 721. 548. 814. 1418. 369. 599. 344. 1014. 924.\n", + " 356. 487. 185. 1248. 857. 816. 358. 665. 800. 749. 892. 257.\n", + " 423. 526. 373. 729. 1110. 556. 724. 481. 585. 488. 684. 367.\n", + " 818. 928. 1040. 878. 947. 895. 694. 1174. 728. 843. 916. 872.\n", + " 876. 631. 617. 454. 813. 925. 804. 806. 832. 455. 752. 933.\n", + " 1092. 865. 954. 825. 859. 590. 1025. 744. 566. 518. 611. 1105.\n", + " 571. 309. 306. 310. 293. 371. 1200. 254. 184. 374. 331. 224.\n", + " 217. 261. 323. 638. 739. 332. 719. 833. 894. 796. 674. 747.\n", + " 242. 597. 748. 639. 579. 1154. 248. nan 100. 722. 422. 808.\n", + " 995. 1041. 1356. 963. 443. 413. 773. 675. 716. 604. 485. 770.\n", + " 1085. 853. 708. 753. 899. 426. 807. 959. 803. 760. 1134. 584.\n", + " 1053. 449. 688. 757. 326. 568. 353. 791. 1008. 378. 258. 255.\n", + " 198. 459. 667. 445. 325. 848. 317. 646. 265. 609. 375. 272.\n", + " 327. 766. 693. 405.]\n", + "Garage Qual: ['TA' nan 'Fa' 'Gd' 'Ex' 'Po']\n", + "Garage Cond: ['TA' nan 'Fa' 'Gd' 'Ex' 'Po']\n", + "Paved Drive: ['P' 'Y' 'N']\n", + "Wood Deck SF: [ 210 140 393 0 212 360 237 157 483 192 503 325 113 349\n", + " 240 203 275 173 26 144 168 220 238 196 120 36 100 146\n", + " 288 180 668 23 186 132 283 169 80 635 28 353 370 121\n", + " 416 296 32 198 160 280 133 223 277 224 228 352 227 366\n", + " 117 263 301 42 252 250 264 364 414 218 222 657 84 51\n", + " 106 54 135 221 306 12 344 56 406 379 226 335 496 290\n", + " 268 336 44 450 156 105 367 71 316 365 188 331 60 257\n", + " 116 272 141 112 30 68 128 375 328 174 182 200 96 261\n", + " 431 22 287 129 162 269 48 201 52 256 232 342 63 322\n", + " 178 233 474 448 225 40 171 216 185 108 87 260 147 150\n", + " 404 382 319 99 184 125 165 248 114 230 170 172 208 231\n", + " 148 143 300 24 298 340 517 297 70 205 195 158 462 502\n", + " 115 501 371 235 294 312 321 78 85 164 110 55 289 66\n", + " 324 126 187 74 181 266 244 45 189 509 302 243 64 131\n", + " 476 234 400 73 154 123 486 276 392 72 215 58 262 202\n", + " 253 194 576 356 327 92 136 329 279 176 292 467 119 90\n", + " 305 124 270 308 33 138 303 214 152 550 16 411 209 358\n", + " 320 495 236 385 145 155 97 20 122 98 25 38 426 355\n", + " 490 88 76 418 265 49 57 204 311 102 511 409 50 307\n", + " 81 424 339 403 278 211 139 149 259 736 134 183 314 213\n", + " 161 318 428 670 282 315 362 245 219 390 167 407 35 130\n", + " 104 460 286 239 255 193 159 402 455 500 206 190 333 284\n", + " 285 14 521 380 127 646 142 386 405 546 118 242 291 166\n", + " 274 439 536 1424 690 330 421 95 441 246 351 197 384 444\n", + " 295 175 354 519 177 179 89 361 247 870 309 432 4 641\n", + " 153 857 94 86 191 75 631 229 436 345 520 199 27 394\n", + " 53 77 466 304 241 103 586 684 453 413 468 207 530 574\n", + " 326 728]\n", + "Open Porch SF: [ 62 0 36 34 82 152 60 84 21 75 54 12 122 120 96 85 68 55\n", + " 30 133 50 95 35 70 74 119 67 150 130 49 27 23 116 20 48 172\n", + " 56 32 57 81 86 136 45 168 102 104 144 39 111 166 44 192 184 42\n", + " 78 137 76 69 66 224 26 40 98 73 38 28 52 17 124 160 100 228\n", + " 108 18 158 10 11 132 58 90 22 46 278 92 33 61 59 77 25 262\n", + " 105 64 140 156 207 53 24 312 72 43 94 63 176 195 134 162 197 274\n", + " 170 273 185 190 114 235 183 16 51 103 128 146 126 165 226 121 112 175\n", + " 182 113 88 178 91 41 93 177 234 254 169 204 99 80 110 189 287 523\n", + " 15 135 198 188 215 155 142 222 193 29 151 240 200 148 201 118 154 238\n", + " 247 304 101 173 282 180 65 131 153 87 174 210 251 243 211 129 4 230\n", + " 213 547 291 502 299 365 139 216 89 117 236 8 187 159 106 372 292 141\n", + " 217 123 83 276 265 164 205 368 47 203 191 138 364 127 256 214 241 194\n", + " 285 324 208 171 570 244 231 484 406 742 444 252 263 266 97 37 250 246\n", + " 229 31 267 382 319 258 6 341 260 288 418 115 253 245 107 225 125 199]\n", + "Enclosed Porch: [ 0 170 184 154 80 220 186 156 120 112 150 164 189 205\n", + " 113 216 135 130 202 126 334 246 196 18 158 114 60 41\n", + " 128 35 48 32 64 364 40 318 248 168 45 239 176 77\n", + " 52 56 36 136 96 242 42 86 162 98 265 50 280 222\n", + " 144 209 24 91 236 218 228 84 264 260 240 203 140 252\n", + " 100 134 432 198 116 169 148 244 25 81 102 160 386 226\n", + " 238 115 94 208 105 54 51 34 268 30 213 288 90 192\n", + " 177 211 185 55 180 44 57 78 137 72 368 70 165 92\n", + " 16 123 66 210 68 109 194 139 219 259 212 20 101 87\n", + " 117 204 122 108 190 231 138 183 254 301 121 207 224 172\n", + " 174 99 249 291 145 214 275 290 175 26 143 230 88 39\n", + " 1012 43 286 19 584 200 133 234 37 324 552 161 75 167\n", + " 28 293 104 296 330 221 256 129 225 294 272 429 67 132\n", + " 23]\n", + "3Ssn Porch: [ 0 238 224 144 508 168 255 225 360 162 140 150 182 153 320 174 304 216\n", + " 407 96 245 120 219 180 196 176 86 23 290 323 130]\n", + "Screen Porch: [ 0 120 144 140 210 165 256 216 90 204 143 160 182 385 240 168 148 95\n", + " 266 166 116 161 200 155 108 291 490 170 192 180 156 196 197 152 121 92\n", + " 288 185 342 189 252 234 255 111 112 231 40 100 60 142 110 396 225 117\n", + " 195 145 224 115 198 233 190 141 208 80 176 94 164 178 273 130 480 220\n", + " 64 163 287 175 576 227 265 221 171 135 322 174 147 276 260 217 201 109\n", + " 99 150 126 259 184 84 154 53 153 228 138 263 88 280 123 440 374 119\n", + " 222 264 270 63 122 128 162 410 271 312 348 113 104]\n", + "Pool Area: [ 0 144 480 576 555 368 444 228 561 519 648 800 512 738]\n", + "Pool QC: [nan 'Ex' 'Gd' 'TA' 'Fa']\n", + "Fence: [nan 'MnPrv' 'GdPrv' 'GdWo' 'MnWw']\n", + "Misc Feature: [nan 'Gar2' 'Shed' 'Othr' 'Elev' 'TenC']\n", + "Misc Val: [ 0 12500 500 700 400 450 1500 300 600 1200 3500 2000\n", + " 2500 54 80 490 480 350 650 900 800 750 1400 6500\n", + " 1150 1000 4500 3000 560 1300 8300 15500 17000 1512 455 460\n", + " 620 420]\n", + "Mo Sold: [ 5 6 4 3 1 2 7 10 8 11 9 12]\n", + "Yr Sold: [2010 2009 2008 2007 2006]\n", + "Sale Type: ['WD ' 'New' 'COD' 'ConLI' 'Con' 'ConLD' 'Oth' 'ConLw' 'CWD' 'VWD']\n", + "Sale Condition: ['Normal' 'Partial' 'Family' 'Abnorml' 'Alloca' 'AdjLand']\n", + "SalePrice: [215000 105000 172000 ... 90500 71000 150900]\n", + "Order 2930\n", + "PID 2930\n", + "MS SubClass 16\n", + "MS Zoning 7\n", + "Lot Frontage 128\n", + " ... \n", + "Mo Sold 12\n", + "Yr Sold 5\n", + "Sale Type 10\n", + "Sale Condition 6\n", + "SalePrice 1032\n", + "Length: 82, dtype: int64\n" + ] + } + ], + "source": [ + "# TODO: Perform initial exploration of the dataset.\n", + "# - Check shape, column names, smaples\n", + "# - Get summary info, data types\n", + "# - Descriptive statistics\n", + "\n", + "print(f\"Shape: {df.shape}\")\n", + "print(f\"Columns Name: {df.columns}\")\n", + "print(f\"Sample of Records: {df.sample}\")\n", + "\n", + "df.info()\n", + "df.dtypes\n", + "\n", + "print(df.describe())\n", + "print(df.describe(include='object'))\n", + "\n", + "for col in df.columns:\n", + " print(f\"{col}: {df[col].unique()}\")\n", + "\n", + "print(df.nunique())" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "quTZ6mJdjrDw" + }, + "source": [ + "## 🔹 Step 3: Missing Value Check & Handling" + ] + }, + { + "cell_type": "code", + "execution_count": 205, + "metadata": { + "id": "-0KdWkPqjs7y" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "First shape: (2930, 82)\n", + "Shape after drop dupl.: (2930, 82)\n", + "# of nulls at the begining: 15749\n", + "Shape after drop columns with >50% missing values: (2930, 75)\n", + "# of nulls after drop columns with >50% missing values: 3143\n", + "# of nulls before Categurical filling: 2461\n", + "# of nulls at the end: 0\n" + ] + } + ], + "source": [ + "# TODO: Check missing values.\n", + "# Decide on a strategy (if needed):\n", + "# - Drop if too many are missing\n", + "# - Fill with mean/median/mode/domain-specific value\n", + "\n", + "print(\"First shape: \", df.shape)\n", + "df.drop_duplicates(inplace=True)\n", + "print(\"Shape after drop dupl.: \", df.shape)\n", + "\n", + "if 'Order' in df.columns:\n", + " df.drop(columns=['Order'], inplace=True)\n", + "if 'PID' in df.columns:\n", + " df.drop(columns=['PID'], inplace=True)\n", + "print(\"# of nulls at the begining: \", df.isnull().sum().sum())\n", + "\n", + "# list columns with missing values\n", + "missing_counts = df.isnull().sum()\n", + "missing_cols = missing_counts[missing_counts > 0].sort_values(ascending=False)\n", + "# drop columns with more than 50% missing values\n", + "missing_pct = df.isnull().mean() * 100\n", + "cols_to_drop = missing_pct[missing_pct > 50].index.tolist()\n", + "df = df.drop(columns=cols_to_drop)\n", + "print(\"Shape after drop columns with >50% missing values: \", df.shape)\n", + "print(\"# of nulls after drop columns with >50% missing values: \", df.isnull().sum().sum())\n", + "\n", + "col_cat = df.select_dtypes(include='object').columns\n", + "col_num = df.select_dtypes(exclude='object').columns\n", + "for col in col_num:\n", + " df[col] = df[col].fillna(df[col].median())\n", + "print(\"# of nulls before Categurical filling: \", df.isnull().sum().sum())\n", + "for col in col_cat:\n", + " mod = df[col].mode()\n", + " mode_value = mod.iloc[0] # pick the first mode\n", + " df[col] = df[col].fillna(mode_value)\n", + "print(\"# of nulls at the end: \",df.isnull().sum().sum())\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 🔹 Step 4: Correlation Check & Feature Decision" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "MHwMZbX_jxKJ" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Dataset's shape before correlation drops: (2930, 75)\n", + "Dataset's shape after correlation drops: (2930, 73)\n" + ] + } + ], + "source": [ + "# TODO: Check correlations between numerical features and target variable (SalePrice).\n", + "# Use correlation heatmap or pairplot.\n", + "# Decide which features to keep/remove based on correlation.\n", + "\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Numeric-only correlation\n", + "corr = df.corr(numeric_only=True)\n", + "plt.figure(figsize=(10,6))\n", + "sns.heatmap(corr, cmap=\"coolwarm\")\n", + "plt.show()\n", + "\n", + "# determining the dropping columns \n", + "threshold = 0.7\n", + "i = -1\n", + "to_drop = []\n", + "for rw in corr['SalePrice']:\n", + " i += 1\n", + " if corr['SalePrice'].abs().iloc[i] > threshold:\n", + " if corr.columns[i] != 'SalePrice':\n", + " to_drop.append(corr.columns[i])\n", + "print(f\"Dataset's shape before correlation drops: {df.shape}\")\n", + "df1 = df.copy()\n", + "df1.drop(columns=to_drop, inplace=True)\n", + "print(f\"Dataset's shape after correlation drops: {df1.shape}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "exTa7T6qj2hv" + }, + "source": [ + "## 🔹 Step 5: Encode Categorical Variables" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": { + "id": "JBQbfP6jj1hS" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MS SubClass MS Zoning Street Lot Shape Land Contour Utilities \\\n", + "0 20 5.0 1.0 0.0 3.0 0.0 \n", + "1 20 4.0 1.0 3.0 3.0 0.0 \n", + "2 20 5.0 1.0 0.0 3.0 0.0 \n", + "3 20 5.0 1.0 3.0 3.0 0.0 \n", + "4 60 5.0 1.0 0.0 3.0 0.0 \n", + "\n", + " Lot Config Land Slope Neighborhood Condition 1 Condition 2 Bldg Type \\\n", + "0 0.0 0.0 15.0 2.0 2.0 0.0 \n", + "1 4.0 0.0 15.0 1.0 2.0 0.0 \n", + "2 0.0 0.0 15.0 2.0 2.0 0.0 \n", + "3 0.0 0.0 15.0 2.0 2.0 0.0 \n", + "4 4.0 0.0 8.0 2.0 2.0 0.0 \n", + "\n", + " House Style Overall Qual Overall Cond Roof Style Roof Matl \\\n", + "0 2.0 6 5 3.0 1.0 \n", + "1 2.0 5 6 1.0 1.0 \n", + "2 2.0 6 6 3.0 1.0 \n", + "3 2.0 7 5 3.0 1.0 \n", + "4 5.0 5 5 1.0 1.0 \n", + "\n", + " Exterior 1st Exterior 2nd Exter Qual Exter Cond Foundation Bsmt Qual \\\n", + "0 3.0 10.0 3.0 4.0 1.0 4.0 \n", + "1 13.0 14.0 3.0 4.0 1.0 4.0 \n", + "2 14.0 15.0 3.0 4.0 1.0 4.0 \n", + "3 3.0 3.0 2.0 4.0 1.0 4.0 \n", + "4 13.0 14.0 3.0 4.0 2.0 2.0 \n", + "\n", + " Bsmt Cond Bsmt Exposure BsmtFin Type 1 BsmtFin Type 2 BsmtFin SF 2 \\\n", + "0 2.0 1.0 1.0 5.0 0.0 \n", + "1 4.0 3.0 4.0 3.0 144.0 \n", + "2 4.0 3.0 0.0 5.0 0.0 \n", + "3 4.0 3.0 0.0 5.0 0.0 \n", + "4 4.0 3.0 2.0 5.0 0.0 \n", + "\n", + " Heating Heating QC Central Air Electrical Low Qual Fin SF \\\n", + "0 1.0 1.0 1.0 4.0 0 \n", + "1 1.0 4.0 1.0 4.0 0 \n", + "2 1.0 4.0 1.0 4.0 0 \n", + "3 1.0 0.0 1.0 4.0 0 \n", + "4 1.0 2.0 1.0 4.0 0 \n", + "\n", + " Bsmt Half Bath Kitchen Qual Functional Fireplace Qu Garage Type \\\n", + "0 0.0 4.0 7.0 2.0 1.0 \n", + "1 0.0 4.0 7.0 2.0 1.0 \n", + "2 0.0 2.0 7.0 2.0 1.0 \n", + "3 0.0 0.0 7.0 4.0 1.0 \n", + "4 0.0 4.0 7.0 4.0 1.0 \n", + "\n", + " Garage Finish Garage Qual Garage Cond Paved Drive 3Ssn Porch \\\n", + "0 0.0 4.0 4.0 1.0 0 \n", + "1 2.0 4.0 4.0 2.0 0 \n", + "2 2.0 4.0 4.0 2.0 0 \n", + "3 0.0 4.0 4.0 2.0 0 \n", + "4 0.0 4.0 4.0 2.0 0 \n", + "\n", + " Screen Porch Pool Area Misc Val Mo Sold Sale Type Sale Condition \\\n", + "0 0 0 0 5 9.0 4.0 \n", + "1 120 0 0 6 9.0 4.0 \n", + "2 0 0 12500 6 9.0 4.0 \n", + "3 0 0 0 4 9.0 4.0 \n", + "4 0 0 0 3 9.0 4.0 \n", + "\n", + " SalePrice \n", + "0 215000 \n", + "1 105000 \n", + "2 172000 \n", + "3 244000 \n", + "4 189900 \n", + " MS SubClass Overall Qual Overall Cond BsmtFin SF 2 Low Qual Fin SF \\\n", + "0 20 6 5 0.0 0 \n", + "1 20 5 6 144.0 0 \n", + "2 20 6 6 0.0 0 \n", + "3 20 7 5 0.0 0 \n", + "4 60 5 5 0.0 0 \n", + "\n", + " Bsmt Half Bath 3Ssn Porch Screen Porch Pool Area Misc Val Mo Sold \\\n", + "0 0.0 0 0 0 0 5 \n", + "1 0.0 0 120 0 0 6 \n", + "2 0.0 0 0 0 12500 6 \n", + "3 0.0 0 0 0 0 4 \n", + "4 0.0 0 0 0 0 3 \n", + "\n", + " SalePrice MS Zoning_C (all) MS Zoning_FV MS Zoning_I (all) \\\n", + "0 215000 0.0 0.0 0.0 \n", + "1 105000 0.0 0.0 0.0 \n", + "2 172000 0.0 0.0 0.0 \n", + "3 244000 0.0 0.0 0.0 \n", + "4 189900 0.0 0.0 0.0 \n", + "\n", + " MS Zoning_RH MS Zoning_RL MS Zoning_RM Street_Pave Lot Shape_IR2 \\\n", + "0 0.0 1.0 0.0 1.0 0.0 \n", + "1 1.0 0.0 0.0 1.0 0.0 \n", + "2 0.0 1.0 0.0 1.0 0.0 \n", + "3 0.0 1.0 0.0 1.0 0.0 \n", + "4 0.0 1.0 0.0 1.0 0.0 \n", + "\n", + " Lot Shape_IR3 Lot Shape_Reg Land Contour_HLS Land Contour_Low \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Land Contour_Lvl Utilities_NoSeWa Utilities_NoSewr Lot Config_CulDSac \\\n", + "0 1.0 0.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 0.0 \n", + "2 1.0 0.0 0.0 0.0 \n", + "3 1.0 0.0 0.0 0.0 \n", + "4 1.0 0.0 0.0 0.0 \n", + "\n", + " Lot Config_FR2 Lot Config_FR3 Lot Config_Inside Land Slope_Mod \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 \n", + "\n", + " Land Slope_Sev Neighborhood_Blueste Neighborhood_BrDale \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_BrkSide Neighborhood_ClearCr Neighborhood_CollgCr \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_Crawfor Neighborhood_Edwards Neighborhood_Gilbert \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 1.0 \n", + "\n", + " Neighborhood_Greens Neighborhood_GrnHill Neighborhood_IDOTRR \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_Landmrk Neighborhood_MeadowV Neighborhood_Mitchel \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_NAmes Neighborhood_NPkVill Neighborhood_NWAmes \\\n", + "0 1.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 \n", + "2 1.0 0.0 0.0 \n", + "3 1.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_NoRidge Neighborhood_NridgHt Neighborhood_OldTown \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_SWISU Neighborhood_Sawyer Neighborhood_SawyerW \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_Somerst Neighborhood_StoneBr Neighborhood_Timber \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_Veenker Condition 1_Feedr Condition 1_Norm \\\n", + "0 0.0 0.0 1.0 \n", + "1 0.0 1.0 0.0 \n", + "2 0.0 0.0 1.0 \n", + "3 0.0 0.0 1.0 \n", + "4 0.0 0.0 1.0 \n", + "\n", + " Condition 1_PosA Condition 1_PosN Condition 1_RRAe Condition 1_RRAn \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Condition 1_RRNe Condition 1_RRNn Condition 2_Feedr Condition 2_Norm \\\n", + "0 0.0 0.0 0.0 1.0 \n", + "1 0.0 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 1.0 \n", + "3 0.0 0.0 0.0 1.0 \n", + "4 0.0 0.0 0.0 1.0 \n", + "\n", + " Condition 2_PosA Condition 2_PosN Condition 2_RRAe Condition 2_RRAn \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Condition 2_RRNn Bldg Type_2fmCon Bldg Type_Duplex Bldg Type_Twnhs \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Bldg Type_TwnhsE House Style_1.5Unf House Style_1Story \\\n", + "0 0.0 0.0 1.0 \n", + "1 0.0 0.0 1.0 \n", + "2 0.0 0.0 1.0 \n", + "3 0.0 0.0 1.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " House Style_2.5Fin House Style_2.5Unf House Style_2Story \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 1.0 \n", + "\n", + " House Style_SFoyer House Style_SLvl Roof Style_Gable Roof Style_Gambrel \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 \n", + "\n", + " Roof Style_Hip Roof Style_Mansard Roof Style_Shed Roof Matl_CompShg \\\n", + "0 1.0 0.0 0.0 1.0 \n", + "1 0.0 0.0 0.0 1.0 \n", + "2 1.0 0.0 0.0 1.0 \n", + "3 1.0 0.0 0.0 1.0 \n", + "4 0.0 0.0 0.0 1.0 \n", + "\n", + " Roof Matl_Membran Roof Matl_Metal Roof Matl_Roll Roof Matl_Tar&Grv \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Roof Matl_WdShake Roof Matl_WdShngl Exterior 1st_AsphShn \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 1st_BrkComm Exterior 1st_BrkFace Exterior 1st_CBlock \\\n", + "0 0.0 1.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 1st_CemntBd Exterior 1st_HdBoard Exterior 1st_ImStucc \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 1st_MetalSd Exterior 1st_Plywood Exterior 1st_PreCast \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 1st_Stone Exterior 1st_Stucco Exterior 1st_VinylSd \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 1.0 \n", + "\n", + " Exterior 1st_Wd Sdng Exterior 1st_WdShing Exterior 2nd_AsphShn \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 1.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_Brk Cmn Exterior 2nd_BrkFace Exterior 2nd_CBlock \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_CmentBd Exterior 2nd_HdBoard Exterior 2nd_ImStucc \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_MetalSd Exterior 2nd_Other Exterior 2nd_Plywood \\\n", + "0 0.0 0.0 1.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_PreCast Exterior 2nd_Stone Exterior 2nd_Stucco \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_VinylSd Exterior 2nd_Wd Sdng Exterior 2nd_Wd Shng \\\n", + "0 0.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 1.0 0.0 0.0 \n", + "\n", + " Exter Qual_Fa Exter Qual_Gd Exter Qual_TA Exter Cond_Fa Exter Cond_Gd \\\n", + "0 0.0 0.0 1.0 0.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 0.0 \n", + "2 0.0 0.0 1.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 0.0 \n", + "\n", + " Exter Cond_Po Exter Cond_TA Foundation_CBlock Foundation_PConc \\\n", + "0 0.0 1.0 1.0 0.0 \n", + "1 0.0 1.0 1.0 0.0 \n", + "2 0.0 1.0 1.0 0.0 \n", + "3 0.0 1.0 1.0 0.0 \n", + "4 0.0 1.0 0.0 1.0 \n", + "\n", + " Foundation_Slab Foundation_Stone Foundation_Wood Bsmt Qual_Fa \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Bsmt Qual_Gd Bsmt Qual_Po Bsmt Qual_TA Bsmt Cond_Fa Bsmt Cond_Gd \\\n", + "0 0.0 0.0 1.0 0.0 1.0 \n", + "1 0.0 0.0 1.0 0.0 0.0 \n", + "2 0.0 0.0 1.0 0.0 0.0 \n", + "3 0.0 0.0 1.0 0.0 0.0 \n", + "4 1.0 0.0 0.0 0.0 0.0 \n", + "\n", + " Bsmt Cond_Po Bsmt Cond_TA Bsmt Exposure_Gd Bsmt Exposure_Mn \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 1.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 0.0 \n", + "\n", + " Bsmt Exposure_No BsmtFin Type 1_BLQ BsmtFin Type 1_GLQ \\\n", + "0 0.0 1.0 0.0 \n", + "1 1.0 0.0 0.0 \n", + "2 1.0 0.0 0.0 \n", + "3 1.0 0.0 0.0 \n", + "4 1.0 0.0 1.0 \n", + "\n", + " BsmtFin Type 1_LwQ BsmtFin Type 1_Rec BsmtFin Type 1_Unf \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " BsmtFin Type 2_BLQ BsmtFin Type 2_GLQ BsmtFin Type 2_LwQ \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " BsmtFin Type 2_Rec BsmtFin Type 2_Unf Heating_GasA Heating_GasW \\\n", + "0 0.0 1.0 1.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 0.0 1.0 1.0 0.0 \n", + "3 0.0 1.0 1.0 0.0 \n", + "4 0.0 1.0 1.0 0.0 \n", + "\n", + " Heating_Grav Heating_OthW Heating_Wall Heating QC_Fa Heating QC_Gd \\\n", + "0 0.0 0.0 0.0 1.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 1.0 \n", + "\n", + " Heating QC_Po Heating QC_TA Central Air_Y Electrical_FuseF \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 1.0 1.0 0.0 \n", + "2 0.0 1.0 1.0 0.0 \n", + "3 0.0 0.0 1.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 \n", + "\n", + " Electrical_FuseP Electrical_Mix Electrical_SBrkr Kitchen Qual_Fa \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 0.0 0.0 1.0 0.0 \n", + "3 0.0 0.0 1.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 \n", + "\n", + " Kitchen Qual_Gd Kitchen Qual_Po Kitchen Qual_TA Functional_Maj2 \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 1.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 \n", + "\n", + " Functional_Min1 Functional_Min2 Functional_Mod Functional_Sal \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Functional_Sev Functional_Typ Fireplace Qu_Fa Fireplace Qu_Gd \\\n", + "0 0.0 1.0 0.0 1.0 \n", + "1 0.0 1.0 0.0 1.0 \n", + "2 0.0 1.0 0.0 1.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 0.0 \n", + "\n", + " Fireplace Qu_Po Fireplace Qu_TA Garage Type_Attchd Garage Type_Basment \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 0.0 0.0 1.0 0.0 \n", + "3 0.0 1.0 1.0 0.0 \n", + "4 0.0 1.0 1.0 0.0 \n", + "\n", + " Garage Type_BuiltIn Garage Type_CarPort Garage Type_Detchd \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Garage Finish_RFn Garage Finish_Unf Garage Qual_Fa Garage Qual_Gd \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Garage Qual_Po Garage Qual_TA Garage Cond_Fa Garage Cond_Gd \\\n", + "0 0.0 1.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 0.0 \n", + "\n", + " Garage Cond_Po Garage Cond_TA Paved Drive_P Paved Drive_Y \\\n", + "0 0.0 1.0 1.0 0.0 \n", + "1 0.0 1.0 0.0 1.0 \n", + "2 0.0 1.0 0.0 1.0 \n", + "3 0.0 1.0 0.0 1.0 \n", + "4 0.0 1.0 0.0 1.0 \n", + "\n", + " Sale Type_CWD Sale Type_Con Sale Type_ConLD Sale Type_ConLI \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Sale Type_ConLw Sale Type_New Sale Type_Oth Sale Type_VWD \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Sale Type_WD Sale Condition_AdjLand Sale Condition_Alloca \\\n", + "0 1.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 \n", + "2 1.0 0.0 0.0 \n", + "3 1.0 0.0 0.0 \n", + "4 1.0 0.0 0.0 \n", + "\n", + " Sale Condition_Family Sale Condition_Normal Sale Condition_Partial \n", + "0 0.0 1.0 0.0 \n", + "1 0.0 1.0 0.0 \n", + "2 0.0 1.0 0.0 \n", + "3 0.0 1.0 0.0 \n", + "4 0.0 1.0 0.0 \n" + ] + } + ], + "source": [ + "# TODO: Identify categorical variables.\n", + "# Use methods like:\n", + "# - One-hot encoding\n", + "# - Ordinal encoding\n", + "# Decide what makes sense for each feature.\n", + "\n", + "from sklearn.preprocessing import LabelEncoder, OrdinalEncoder, OneHotEncoder\n", + "\n", + "# for col in col_cat:\n", + "# print(df[col].unique())\n", + "\n", + "df_oe = df.copy() # keep a separate version\n", + "ordinal_encoders = {}\n", + "for col in col_cat:\n", + " oe = OrdinalEncoder()\n", + " df_oe[col] = oe.fit_transform(df_oe[col].values.reshape(-1, 1))\n", + " ordinal_encoders[col] = oe # store encoder if needed later\n", + "print(df_oe.head())\n", + "\n", + "df_ohe = df.copy() # keep a separate version\n", + "label_encoders = {}\n", + "ohe = OneHotEncoder(drop=\"first\", sparse_output=False) # Set sparse_output to False\n", + "encoded = ohe.fit_transform(df_ohe[col_cat])\n", + "\n", + "encoded_df = pd.DataFrame(encoded, columns=ohe.get_feature_names_out(col_cat), index=df_ohe.index)\n", + "df_ohe = pd.concat([df_ohe.drop(columns=col_cat), encoded_df], axis=1)\n", + "\n", + "print(df_ohe.head())\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ayerWnrFj-OS" + }, + "source": [ + "## 🔹 Step 6: Feature Scaling" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": { + "id": "cmOzqeCcj9_P" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MS SubClass MS Zoning Street Lot Shape Land Contour Utilities Lot Config \\\n", + "0 -0.876682 RL Pave IR1 Lvl AllPub Corner \n", + "1 -0.876682 RH Pave Reg Lvl AllPub Inside \n", + "2 -0.876682 RL Pave IR1 Lvl AllPub Corner \n", + "3 -0.876682 RL Pave Reg Lvl AllPub Corner \n", + "4 0.061542 RL Pave IR1 Lvl AllPub Inside \n", + "\n", + " Land Slope Neighborhood Condition 1 Condition 2 Bldg Type House Style \\\n", + "0 Gtl NAmes Norm Norm 1Fam 1Story \n", + "1 Gtl NAmes Feedr Norm 1Fam 1Story \n", + "2 Gtl NAmes Norm Norm 1Fam 1Story \n", + "3 Gtl NAmes Norm Norm 1Fam 1Story \n", + "4 Gtl Gilbert Norm Norm 1Fam 2Story \n", + "\n", + " Overall Qual Overall Cond Roof Style Roof Matl Exterior 1st Exterior 2nd \\\n", + "0 -0.067028 -0.506827 Hip CompShg BrkFace Plywood \n", + "1 -0.775782 0.392868 Gable CompShg VinylSd VinylSd \n", + "2 -0.067028 0.392868 Hip CompShg Wd Sdng Wd Sdng \n", + "3 0.641726 -0.506827 Hip CompShg BrkFace BrkFace \n", + "4 -0.775782 -0.506827 Gable CompShg VinylSd VinylSd \n", + "\n", + " Exter Qual Exter Cond Foundation Bsmt Qual Bsmt Cond Bsmt Exposure \\\n", + "0 TA TA CBlock TA Gd Gd \n", + "1 TA TA CBlock TA TA No \n", + "2 TA TA CBlock TA TA No \n", + "3 Gd TA CBlock TA TA No \n", + "4 TA TA PConc Gd TA No \n", + "\n", + " BsmtFin Type 1 BsmtFin Type 2 BsmtFin SF 2 Heating Heating QC Central Air \\\n", + "0 BLQ Unf -0.293973 GasA Fa Y \n", + "1 Rec LwQ 0.557395 GasA TA Y \n", + "2 ALQ Unf -0.293973 GasA TA Y \n", + "3 ALQ Unf -0.293973 GasA Ex Y \n", + "4 GLQ Unf -0.293973 GasA Gd Y \n", + "\n", + " Electrical Low Qual Fin SF Bsmt Half Bath Kitchen Qual Functional \\\n", + "0 SBrkr -0.101022 -0.249265 TA Typ \n", + "1 SBrkr -0.101022 -0.249265 TA Typ \n", + "2 SBrkr -0.101022 -0.249265 Gd Typ \n", + "3 SBrkr -0.101022 -0.249265 Ex Typ \n", + "4 SBrkr -0.101022 -0.249265 TA Typ \n", + "\n", + " Fireplace Qu Garage Type Garage Finish Garage Qual Garage Cond Paved Drive \\\n", + "0 Gd Attchd Fin TA TA P \n", + "1 Gd Attchd Unf TA TA Y \n", + "2 Gd Attchd Unf TA TA Y \n", + "3 TA Attchd Fin TA TA Y \n", + "4 TA Attchd Fin TA TA Y \n", + "\n", + " 3Ssn Porch Screen Porch Pool Area Misc Val Mo Sold Sale Type \\\n", + "0 -0.103152 -0.285407 -0.063042 -0.089438 -0.447654 WD \n", + "1 -0.103152 1.854142 -0.063042 -0.089438 -0.079138 WD \n", + "2 -0.103152 -0.285407 -0.063042 21.981972 -0.079138 WD \n", + "3 -0.103152 -0.285407 -0.063042 -0.089438 -0.816169 WD \n", + "4 -0.103152 -0.285407 -0.063042 -0.089438 -1.184684 WD \n", + "\n", + " Sale Condition SalePrice \n", + "0 Normal 0.428625 \n", + "1 Normal -0.948615 \n", + "2 Normal -0.109751 \n", + "3 Normal 0.791716 \n", + "4 Normal 0.114364 \n", + " MS SubClass MS Zoning Street Lot Shape Land Contour Utilities Lot Config \\\n", + "0 0.000000 RL Pave IR1 Lvl AllPub Corner \n", + "1 0.000000 RH Pave Reg Lvl AllPub Inside \n", + "2 0.000000 RL Pave IR1 Lvl AllPub Corner \n", + "3 0.000000 RL Pave Reg Lvl AllPub Corner \n", + "4 0.235294 RL Pave IR1 Lvl AllPub Inside \n", + "\n", + " Land Slope Neighborhood Condition 1 Condition 2 Bldg Type House Style \\\n", + "0 Gtl NAmes Norm Norm 1Fam 1Story \n", + "1 Gtl NAmes Feedr Norm 1Fam 1Story \n", + "2 Gtl NAmes Norm Norm 1Fam 1Story \n", + "3 Gtl NAmes Norm Norm 1Fam 1Story \n", + "4 Gtl Gilbert Norm Norm 1Fam 2Story \n", + "\n", + " Overall Qual Overall Cond Roof Style Roof Matl Exterior 1st Exterior 2nd \\\n", + "0 0.555556 0.500 Hip CompShg BrkFace Plywood \n", + "1 0.444444 0.625 Gable CompShg VinylSd VinylSd \n", + "2 0.555556 0.625 Hip CompShg Wd Sdng Wd Sdng \n", + "3 0.666667 0.500 Hip CompShg BrkFace BrkFace \n", + "4 0.444444 0.500 Gable CompShg VinylSd VinylSd \n", + "\n", + " Exter Qual Exter Cond Foundation Bsmt Qual Bsmt Cond Bsmt Exposure \\\n", + "0 TA TA CBlock TA Gd Gd \n", + "1 TA TA CBlock TA TA No \n", + "2 TA TA CBlock TA TA No \n", + "3 Gd TA CBlock TA TA No \n", + "4 TA TA PConc Gd TA No \n", + "\n", + " BsmtFin Type 1 BsmtFin Type 2 BsmtFin SF 2 Heating Heating QC Central Air \\\n", + "0 BLQ Unf 0.000000 GasA Fa Y \n", + "1 Rec LwQ 0.094364 GasA TA Y \n", + "2 ALQ Unf 0.000000 GasA TA Y \n", + "3 ALQ Unf 0.000000 GasA Ex Y \n", + "4 GLQ Unf 0.000000 GasA Gd Y \n", + "\n", + " Electrical Low Qual Fin SF Bsmt Half Bath Kitchen Qual Functional \\\n", + "0 SBrkr 0.0 0.0 TA Typ \n", + "1 SBrkr 0.0 0.0 TA Typ \n", + "2 SBrkr 0.0 0.0 Gd Typ \n", + "3 SBrkr 0.0 0.0 Ex Typ \n", + "4 SBrkr 0.0 0.0 TA Typ \n", + "\n", + " Fireplace Qu Garage Type Garage Finish Garage Qual Garage Cond Paved Drive \\\n", + "0 Gd Attchd Fin TA TA P \n", + "1 Gd Attchd Unf TA TA Y \n", + "2 Gd Attchd Unf TA TA Y \n", + "3 TA Attchd Fin TA TA Y \n", + "4 TA Attchd Fin TA TA Y \n", + "\n", + " 3Ssn Porch Screen Porch Pool Area Misc Val Mo Sold Sale Type \\\n", + "0 0.0 0.000000 0.0 0.000000 0.363636 WD \n", + "1 0.0 0.208333 0.0 0.000000 0.454545 WD \n", + "2 0.0 0.000000 0.0 0.735294 0.454545 WD \n", + "3 0.0 0.000000 0.0 0.000000 0.272727 WD \n", + "4 0.0 0.000000 0.0 0.000000 0.181818 WD \n", + "\n", + " Sale Condition SalePrice \n", + "0 Normal 0.272444 \n", + "1 Normal 0.124238 \n", + "2 Normal 0.214509 \n", + "3 Normal 0.311517 \n", + "4 Normal 0.238626 \n", + " MS SubClass MS Zoning Street Lot Shape Land Contour Utilities Lot Config \\\n", + "0 -0.6 RL Pave IR1 Lvl AllPub Corner \n", + "1 -0.6 RH Pave Reg Lvl AllPub Inside \n", + "2 -0.6 RL Pave IR1 Lvl AllPub Corner \n", + "3 -0.6 RL Pave Reg Lvl AllPub Corner \n", + "4 0.2 RL Pave IR1 Lvl AllPub Inside \n", + "\n", + " Land Slope Neighborhood Condition 1 Condition 2 Bldg Type House Style \\\n", + "0 Gtl NAmes Norm Norm 1Fam 1Story \n", + "1 Gtl NAmes Feedr Norm 1Fam 1Story \n", + "2 Gtl NAmes Norm Norm 1Fam 1Story \n", + "3 Gtl NAmes Norm Norm 1Fam 1Story \n", + "4 Gtl Gilbert Norm Norm 1Fam 2Story \n", + "\n", + " Overall Qual Overall Cond Roof Style Roof Matl Exterior 1st Exterior 2nd \\\n", + "0 0.0 0.0 Hip CompShg BrkFace Plywood \n", + "1 -0.5 1.0 Gable CompShg VinylSd VinylSd \n", + "2 0.0 1.0 Hip CompShg Wd Sdng Wd Sdng \n", + "3 0.5 0.0 Hip CompShg BrkFace BrkFace \n", + "4 -0.5 0.0 Gable CompShg VinylSd VinylSd \n", + "\n", + " Exter Qual Exter Cond Foundation Bsmt Qual Bsmt Cond Bsmt Exposure \\\n", + "0 TA TA CBlock TA Gd Gd \n", + "1 TA TA CBlock TA TA No \n", + "2 TA TA CBlock TA TA No \n", + "3 Gd TA CBlock TA TA No \n", + "4 TA TA PConc Gd TA No \n", + "\n", + " BsmtFin Type 1 BsmtFin Type 2 BsmtFin SF 2 Heating Heating QC Central Air \\\n", + "0 BLQ Unf 0.0 GasA Fa Y \n", + "1 Rec LwQ 144.0 GasA TA Y \n", + "2 ALQ Unf 0.0 GasA TA Y \n", + "3 ALQ Unf 0.0 GasA Ex Y \n", + "4 GLQ Unf 0.0 GasA Gd Y \n", + "\n", + " Electrical Low Qual Fin SF Bsmt Half Bath Kitchen Qual Functional \\\n", + "0 SBrkr 0.0 0.0 TA Typ \n", + "1 SBrkr 0.0 0.0 TA Typ \n", + "2 SBrkr 0.0 0.0 Gd Typ \n", + "3 SBrkr 0.0 0.0 Ex Typ \n", + "4 SBrkr 0.0 0.0 TA Typ \n", + "\n", + " Fireplace Qu Garage Type Garage Finish Garage Qual Garage Cond Paved Drive \\\n", + "0 Gd Attchd Fin TA TA P \n", + "1 Gd Attchd Unf TA TA Y \n", + "2 Gd Attchd Unf TA TA Y \n", + "3 TA Attchd Fin TA TA Y \n", + "4 TA Attchd Fin TA TA Y \n", + "\n", + " 3Ssn Porch Screen Porch Pool Area Misc Val Mo Sold Sale Type \\\n", + "0 0.0 0.0 0.0 0.0 -0.25 WD \n", + "1 0.0 120.0 0.0 0.0 0.00 WD \n", + "2 0.0 0.0 0.0 12500.0 0.00 WD \n", + "3 0.0 0.0 0.0 0.0 -0.50 WD \n", + "4 0.0 0.0 0.0 0.0 -0.75 WD \n", + "\n", + " Sale Condition SalePrice \n", + "0 Normal 0.654762 \n", + "1 Normal -0.654762 \n", + "2 Normal 0.142857 \n", + "3 Normal 1.000000 \n", + "4 Normal 0.355952 \n" + ] + } + ], + "source": [ + "# TODO: Try different scaling techniques:\n", + "# - StandardScaler\n", + "# - MinMaxScaler\n", + "# - RobustScaler\n", + "# Decide based on the distribution of features.\n", + "\n", + "from sklearn.preprocessing import StandardScaler, MinMaxScaler, RobustScaler\n", + "df_ss = df.copy()\n", + "df_mm = df.copy()\n", + "df_rs = df.copy()\n", + "\n", + "scaler = StandardScaler()\n", + "df_ss[col_num] = scaler.fit_transform(df_ss[col_num])\n", + "print(df_ss.head())\n", + "\n", + "scaler = MinMaxScaler()\n", + "df_mm[col_num] = scaler.fit_transform(df_mm[col_num])\n", + "print(df_mm.head())\n", + "\n", + "scaler = RobustScaler()\n", + "df_rs[col_num] = scaler.fit_transform(df_rs[col_num])\n", + "print(df_rs.head())\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "B8NozkS2kCDE" + }, + "source": [ + "## 🔹 Step 7: Feature Selection & Feature Creation 💡" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "elKATS4vj82a" + }, + "outputs": [], + "source": [ + "# TODO: Select the most useful features.\n", + "# Try:\n", + "# - Correlation thresholding and Removing highly collinear features\n", + "# - decide yourself for dropping useless ones\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "irzYn2YHkFuu" + }, + "outputs": [], + "source": [ + "# TODO: Create at least 2 NEW features.\n", + "# Examples:\n", + "# - Age of house: df[\"HouseAge\"] = df[\"YrSold\"] - df[\"YearBuilt\"]\n", + "# - Interaction: df[\"Quality_x_Size\"] = df[\"OverallQual\"] * df[\"GrLivArea\"]\n", + "# - Non-linear: df[\"Log_LotArea\"] = np.log1p(df[\"LotArea\"])\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ohlGPfhykRMs" + }, + "source": [ + "## 🔹 Step 8: Outlier Handling" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "l0Yx7uH5kP_H" + }, + "outputs": [], + "source": [ + "# TODO: Detect and handle outliers.\n", + "# Methods:\n", + "# - IQR rule\n", + "# - Z-score\n", + "# - Visualization (boxplots, scatterplots)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "nDirz02_kU1e" + }, + "source": [ + "## 🔹 Step 9: Skewness Handling" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Bz0Kke71kTxQ" + }, + "outputs": [], + "source": [ + "# TODO: Check skewness of numerical features.\n", + "# Apply log, sqrt, Box-Cox, or Yeo-Johnson depending on distribution.\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "voU8eavLkXya" + }, + "source": [ + "## 🔹 Step 10: Remove Duplicates" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "pEyssUgmkZgq" + }, + "outputs": [], + "source": [ + "# TODO: Check and remove duplicate rows if there is.\n", + "\n", + "# count duplicates\n", + "dup_count = df.duplicated().sum()\n", + "print(f\"Duplicate rows: {dup_count}\")\n", + "\n", + "# (optional) inspect some duplicate rows\n", + "if dup_count:\n", + " display(df[df.duplicated(keep=False)].head())\n", + "\n", + "# drop duplicates (keep first occurrence) and reset index\n", + "df = df.drop_duplicates(keep='first').reset_index(drop=True)\n", + "print(f\"Rows after dropping duplicates: {len(df)})\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "AlW4RbaTkeSu" + }, + "source": [ + "## 💾 Step 11: Save Cleaned Dataset" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "naZHc5dnkamR" + }, + "outputs": [], + "source": [ + "# Save your final cleaned and engineered dataset to CSV.\n", + "df.to_csv(\"AmesHousing_engineered.csv\", index=False)\n", + "print(\"✅ Cleaned dataset saved successfully!\")\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/Assignments/a1.11/WA_Fn-UseC_-Telco-Customer-Churn.csv b/a0.1/Assignments/a1.11/WA_Fn-UseC_-Telco-Customer-Churn.csv new file mode 100644 index 0000000..3de7a61 --- /dev/null +++ b/a0.1/Assignments/a1.11/WA_Fn-UseC_-Telco-Customer-Churn.csv @@ -0,0 +1,7044 @@ +customerID,gender,SeniorCitizen,Partner,Dependents,tenure,PhoneService,MultipleLines,InternetService,OnlineSecurity,OnlineBackup,DeviceProtection,TechSupport,StreamingTV,StreamingMovies,Contract,PaperlessBilling,PaymentMethod,MonthlyCharges,TotalCharges,Churn +7590-VHVEG,Female,0,Yes,No,1,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,29.85,29.85,No +5575-GNVDE,Male,0,No,No,34,Yes,No,DSL,Yes,No,Yes,No,No,No,One year,No,Mailed check,56.95,1889.5,No +3668-QPYBK,Male,0,No,No,2,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,53.85,108.15,Yes +7795-CFOCW,Male,0,No,No,45,No,No phone service,DSL,Yes,No,Yes,Yes,No,No,One year,No,Bank transfer (automatic),42.3,1840.75,No +9237-HQITU,Female,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.7,151.65,Yes +9305-CDSKC,Female,0,No,No,8,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.65,820.5,Yes +1452-KIOVK,Male,0,No,Yes,22,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),89.1,1949.4,No +6713-OKOMC,Female,0,No,No,10,No,No phone service,DSL,Yes,No,No,No,No,No,Month-to-month,No,Mailed check,29.75,301.9,No +7892-POOKP,Female,0,Yes,No,28,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,104.8,3046.05,Yes +6388-TABGU,Male,0,No,Yes,62,Yes,No,DSL,Yes,Yes,No,No,No,No,One year,No,Bank transfer (automatic),56.15,3487.95,No +9763-GRSKD,Male,0,Yes,Yes,13,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Mailed check,49.95,587.45,No +7469-LKBCI,Male,0,No,No,16,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),18.95,326.8,No +8091-TTVAX,Male,0,Yes,No,58,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,One year,No,Credit card (automatic),100.35,5681.1,No +0280-XJGEX,Male,0,No,No,49,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),103.7,5036.3,Yes +5129-JLPIS,Male,0,No,No,25,Yes,No,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,105.5,2686.05,No +3655-SNQYZ,Female,0,Yes,Yes,69,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),113.25,7895.15,No +8191-XWSZG,Female,0,No,No,52,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.65,1022.95,No +9959-WOFKT,Male,0,No,Yes,71,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,Two year,No,Bank transfer (automatic),106.7,7382.25,No +4190-MFLUW,Female,0,Yes,Yes,10,Yes,No,DSL,No,No,Yes,Yes,No,No,Month-to-month,No,Credit card (automatic),55.2,528.35,Yes +4183-MYFRB,Female,0,No,No,21,Yes,No,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,90.05,1862.9,No +8779-QRDMV,Male,1,No,No,1,No,No phone service,DSL,No,No,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,39.65,39.65,Yes +1680-VDCWW,Male,0,Yes,No,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),19.8,202.25,No +1066-JKSGK,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.15,20.15,Yes +3638-WEABW,Female,0,Yes,No,58,Yes,Yes,DSL,No,Yes,No,Yes,No,No,Two year,Yes,Credit card (automatic),59.9,3505.1,No +6322-HRPFA,Male,0,Yes,Yes,49,Yes,No,DSL,Yes,Yes,No,Yes,No,No,Month-to-month,No,Credit card (automatic),59.6,2970.3,No +6865-JZNKO,Female,0,No,No,30,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),55.3,1530.6,No +6467-CHFZW,Male,0,Yes,Yes,47,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.35,4749.15,Yes +8665-UTDHZ,Male,0,Yes,Yes,1,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,30.2,30.2,Yes +5248-YGIJN,Male,0,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),90.25,6369.45,No +8773-HHUOZ,Female,0,No,Yes,17,Yes,No,DSL,No,No,No,No,Yes,Yes,Month-to-month,Yes,Mailed check,64.7,1093.1,Yes +3841-NFECX,Female,1,Yes,No,71,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,No,Two year,Yes,Credit card (automatic),96.35,6766.95,No +4929-XIHVW,Male,1,Yes,No,2,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),95.5,181.65,No +6827-IEAUQ,Female,0,Yes,Yes,27,Yes,No,DSL,Yes,Yes,Yes,Yes,No,No,One year,No,Mailed check,66.15,1874.45,No +7310-EGVHZ,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),20.2,20.2,No +3413-BMNZE,Male,1,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),45.25,45.25,No +6234-RAAPL,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,No,Two year,No,Bank transfer (automatic),99.9,7251.7,No +6047-YHPVI,Male,0,No,No,5,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.7,316.9,Yes +6572-ADKRS,Female,0,No,No,46,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),74.8,3548.3,No +5380-WJKOV,Male,0,No,No,34,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,106.35,3549.25,Yes +8168-UQWWF,Female,0,No,No,11,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),97.85,1105.4,Yes +8865-TNMNX,Male,0,Yes,Yes,10,Yes,No,DSL,No,Yes,No,No,No,No,One year,No,Mailed check,49.55,475.7,No +9489-DEDVP,Female,0,Yes,Yes,70,Yes,Yes,DSL,Yes,Yes,No,No,Yes,No,Two year,Yes,Credit card (automatic),69.2,4872.35,No +9867-JCZSP,Female,0,Yes,Yes,17,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.75,418.25,No +4671-VJLCL,Female,0,No,No,63,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,Yes,Credit card (automatic),79.85,4861.45,No +4080-IIARD,Female,0,Yes,No,13,Yes,Yes,DSL,Yes,Yes,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,76.2,981.45,No +3714-NTNFO,Female,0,No,No,49,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,84.5,3906.7,No +5948-UJZLF,Male,0,No,No,2,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,No,Mailed check,49.25,97,No +7760-OYPDY,Female,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,80.65,144.15,Yes +7639-LIAYI,Male,0,No,No,52,Yes,Yes,DSL,Yes,No,No,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),79.75,4217.8,No +2954-PIBKO,Female,0,Yes,Yes,69,Yes,Yes,DSL,Yes,No,Yes,Yes,No,No,Two year,Yes,Credit card (automatic),64.15,4254.1,No +8012-SOUDQ,Female,1,No,No,43,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,90.25,3838.75,No +9420-LOJKX,Female,0,No,No,15,Yes,No,Fiber optic,Yes,Yes,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),99.1,1426.4,Yes +6575-SUVOI,Female,1,Yes,No,25,Yes,Yes,DSL,Yes,No,No,Yes,Yes,No,Month-to-month,Yes,Credit card (automatic),69.5,1752.65,No +7495-OOKFY,Female,1,Yes,No,8,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),80.65,633.3,Yes +4667-QONEA,Female,1,Yes,Yes,60,Yes,No,DSL,Yes,Yes,Yes,Yes,No,Yes,One year,Yes,Credit card (automatic),74.85,4456.35,No +1658-BYGOY,Male,1,No,No,18,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.45,1752.55,Yes +8769-KKTPH,Female,0,Yes,Yes,63,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,One year,Yes,Credit card (automatic),99.65,6311.2,No +5067-XJQFU,Male,1,Yes,Yes,66,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,108.45,7076.35,No +3957-SQXML,Female,0,Yes,Yes,34,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),24.95,894.3,No +5954-BDFSG,Female,0,No,No,72,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),107.5,7853.7,No +0434-CSFON,Female,0,Yes,No,47,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.5,4707.1,No +1215-FIGMP,Male,0,No,No,60,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),89.9,5450.7,No +0526-SXDJP,Male,0,Yes,No,72,No,No phone service,DSL,Yes,Yes,Yes,No,No,No,Two year,No,Bank transfer (automatic),42.1,2962,No +0557-ASKVU,Female,0,Yes,Yes,18,Yes,No,DSL,No,No,Yes,Yes,No,No,One year,Yes,Credit card (automatic),54.4,957.1,No +5698-BQJOH,Female,0,No,No,9,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,94.4,857.25,Yes +5122-CYFXA,Female,0,No,No,3,Yes,No,DSL,No,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,75.3,244.1,No +8627-ZYGSZ,Male,0,Yes,No,47,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,One year,Yes,Electronic check,78.9,3650.35,No +3410-YOQBQ,Female,0,No,No,31,Yes,No,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Mailed check,79.2,2497.2,No +3170-NMYVV,Female,0,Yes,Yes,50,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.15,930.9,No +7410-OIEDU,Male,0,No,No,10,Yes,No,Fiber optic,Yes,No,Yes,No,No,No,Month-to-month,Yes,Mailed check,79.85,887.35,No +2273-QCKXA,Male,0,No,No,1,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,No,Mailed check,49.05,49.05,No +0731-EBJQB,Female,0,Yes,Yes,52,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Electronic check,20.4,1090.65,No +1891-QRQSA,Male,1,Yes,Yes,64,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),111.6,7099,No +8028-PNXHQ,Male,0,Yes,Yes,62,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),24.25,1424.6,No +5630-AHZIL,Female,0,No,Yes,3,Yes,No,DSL,Yes,No,No,Yes,No,Yes,Month-to-month,Yes,Bank transfer (automatic),64.5,177.4,No +2673-CXQEU,Female,1,No,No,56,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,No,Electronic check,110.5,6139.5,No +6416-JNVRK,Female,0,No,No,46,Yes,No,DSL,No,No,No,No,No,Yes,One year,No,Credit card (automatic),55.65,2688.85,No +5590-ZSKRV,Female,0,Yes,Yes,8,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,No,Mailed check,54.65,482.25,No +0191-ZHSKZ,Male,1,No,No,30,Yes,No,DSL,Yes,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,74.75,2111.3,No +3887-PBQAO,Female,0,Yes,Yes,45,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Credit card (automatic),25.9,1216.6,No +5919-TMRGD,Female,0,No,Yes,1,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,79.35,79.35,Yes +8108-UXRQN,Female,0,Yes,Yes,11,No,No phone service,DSL,Yes,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,50.55,565.35,No +9191-MYQKX,Female,0,Yes,No,7,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),75.15,496.9,Yes +9919-YLNNG,Female,0,No,No,42,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),103.8,4327.5,No +0318-ZOPWS,Female,0,Yes,No,49,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),20.15,973.35,No +4445-ZJNMU,Male,0,No,No,9,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),99.3,918.75,No +4808-YNLEU,Female,0,Yes,No,35,Yes,No,DSL,Yes,No,No,No,Yes,No,One year,Yes,Bank transfer (automatic),62.15,2215.45,No +1862-QRWPE,Female,0,Yes,Yes,48,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.65,1057,No +2796-NNUFI,Female,0,Yes,Yes,46,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,19.95,927.1,No +3016-KSVCP,Male,0,Yes,No,29,No,No phone service,DSL,No,No,No,No,Yes,No,Month-to-month,No,Mailed check,33.75,1009.25,No +4767-HZZHQ,Male,0,Yes,Yes,30,Yes,No,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,No,Bank transfer (automatic),82.05,2570.2,No +2424-WVHPL,Male,1,No,No,1,Yes,No,Fiber optic,No,No,No,Yes,No,No,Month-to-month,No,Electronic check,74.7,74.7,No +7233-PAHHL,Male,0,Yes,Yes,66,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Mailed check,84,5714.25,No +6067-NGCEU,Female,0,No,No,65,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),111.05,7107,No +9848-JQJTX,Male,0,No,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),100.9,7459.05,No +8637-XJIVR,Female,0,No,No,12,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,78.95,927.35,Yes +9803-FTJCG,Male,0,Yes,Yes,71,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,One year,Yes,Credit card (automatic),66.85,4748.7,No +0278-YXOOG,Male,0,No,No,5,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,21.05,113.85,Yes +3212-KXOCR,Male,0,No,No,52,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),21,1107.2,No +4598-XLKNJ,Female,1,Yes,No,25,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,98.5,2514.5,Yes +6380-ARCEH,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.2,20.2,No +3679-XASPY,Female,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,19.45,19.45,No +7123-WQUHX,Male,0,No,No,38,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,No,One year,No,Bank transfer (automatic),95,3605.6,No +5386-THSLQ,Female,1,Yes,No,66,No,No phone service,DSL,No,Yes,Yes,No,Yes,No,One year,No,Bank transfer (automatic),45.55,3027.25,No +3192-NQECA,Male,0,Yes,No,68,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),110,7611.85,Yes +6180-YBIQI,Male,0,No,No,5,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,24.3,100.2,No +6728-DKUCO,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,Yes,One year,Yes,Electronic check,104.15,7303.05,No +9750-BOOHV,Female,0,No,No,32,No,No phone service,DSL,Yes,No,No,No,No,No,One year,No,Mailed check,30.15,927.65,No +8597-CWYHH,Male,0,No,No,43,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,One year,No,Mailed check,94.35,3921.3,No +2848-YXSMW,Male,0,Yes,Yes,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.4,1363.25,No +0486-HECZI,Male,0,Yes,No,55,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,96.75,5238.9,Yes +4549-ZDQYY,Female,0,No,No,52,Yes,No,DSL,Yes,No,Yes,Yes,No,No,One year,No,Credit card (automatic),57.95,3042.25,No +5712-AHQNN,Female,0,No,No,43,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,91.65,3954.1,No +4846-WHAFZ,Female,1,Yes,No,37,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,76.5,2868.15,Yes +5256-SKJGO,Female,0,Yes,Yes,64,No,No phone service,DSL,No,Yes,No,Yes,Yes,Yes,Two year,Yes,Electronic check,54.6,3423.5,No +3071-VBYPO,Male,0,Yes,Yes,3,Yes,No,Fiber optic,Yes,Yes,No,No,Yes,No,Month-to-month,No,Electronic check,89.85,248.4,No +9560-BBZXK,Female,0,No,No,36,No,No phone service,DSL,Yes,No,No,No,No,No,Two year,No,Bank transfer (automatic),31.05,1126.35,No +5299-RULOA,Female,0,Yes,Yes,10,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.25,1064.65,Yes +8402-OOOHJ,Female,0,No,No,41,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.65,835.15,No +9445-ZUEQE,Male,0,Yes,Yes,27,Yes,Yes,Fiber optic,No,Yes,No,Yes,No,No,Month-to-month,Yes,Credit card (automatic),85.2,2151.6,No +1091-SOZGA,Female,0,Yes,Yes,56,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),99.8,5515.45,No +2928-HLDBA,Female,0,No,No,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.7,112.75,No +0404-SWRVG,Male,0,No,No,3,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.4,229.55,Yes +6497-TILVL,Female,0,Yes,Yes,7,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,No,Mailed check,50.7,350.35,No +7219-TLZHO,Female,0,Yes,Yes,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.85,62.9,No +4622-YNKIJ,Male,0,No,No,33,Yes,No,Fiber optic,Yes,No,No,Yes,Yes,No,Two year,Yes,Electronic check,88.95,3027.65,No +4412-YLTKF,Female,1,No,No,27,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,78.05,2135.5,Yes +6734-PSBAW,Male,0,Yes,No,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),23.55,1723.95,No +3930-ZGWVE,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.75,19.75,No +2639-UGMAZ,Male,1,No,No,71,No,No phone service,DSL,Yes,Yes,No,No,Yes,Yes,One year,Yes,Electronic check,56.45,3985.35,No +2876-GZYZC,Female,0,No,No,13,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,85.95,1215.65,No +6207-WIOLX,Female,0,Yes,Yes,25,No,No phone service,DSL,Yes,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),58.6,1502.65,Yes +8587-XYZSF,Male,0,No,No,67,Yes,No,DSL,No,No,No,Yes,No,No,Two year,No,Bank transfer (automatic),50.55,3260.1,No +3091-FYHKI,Male,0,No,No,1,No,No phone service,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,35.45,35.45,Yes +2372-HWUHI,Male,0,No,No,2,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,44.35,81.25,Yes +7799-LGRDP,Female,0,No,No,43,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),25.7,1188.2,No +7850-VWJUU,Female,0,No,No,23,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),75,1778.5,No +3774-VBNXY,Female,0,Yes,Yes,64,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.2,1277.75,No +6217-KDYWC,Male,0,No,Yes,57,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,19.6,1170.55,No +0390-DCFDQ,Female,1,Yes,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,70.45,70.45,Yes +3146-MSEGF,Female,1,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),88.05,6425.65,No +4080-OGPJL,Female,0,No,No,8,Yes,Yes,DSL,Yes,No,No,Yes,No,Yes,Month-to-month,No,Electronic check,71.15,563.65,Yes +1095-WGNGG,Female,0,Yes,No,61,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),101.05,5971.25,No +2636-SJDOU,Male,0,No,No,64,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,No,One year,Yes,Credit card (automatic),84.3,5289.05,No +1131-QQZEB,Male,1,Yes,No,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),23.95,1756.2,No +5716-EZXZN,Female,0,Yes,Yes,65,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,No,Two year,Yes,Credit card (automatic),99.05,6416.7,No +6837-BJYDQ,Male,0,No,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.6,61.35,No +2135-RXIHG,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,45.65,45.65,Yes +6440-DKQGE,Male,0,No,Yes,30,Yes,No,DSL,No,Yes,Yes,No,Yes,No,One year,No,Credit card (automatic),64.5,1929.95,No +3466-BYAVD,Male,0,Yes,Yes,15,Yes,No,DSL,No,Yes,Yes,Yes,No,Yes,Month-to-month,Yes,Mailed check,69.5,1071.4,No +3780-YVMFA,Female,0,Yes,Yes,8,Yes,No,DSL,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,68.55,564.35,No +3874-EQOEP,Male,0,No,No,7,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Mailed check,95,655.5,Yes +1679-JRFBR,Female,0,Yes,Yes,70,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),108.15,7930.55,No +9073-ZZIAY,Male,0,Yes,Yes,62,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Electronic check,86.1,5215.25,No +3077-RSNTJ,Female,0,Yes,Yes,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.7,113.5,No +6551-GNYDG,Female,0,Yes,Yes,14,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),80.9,1152.8,No +9167-APMXZ,Female,0,No,No,22,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),84.15,1821.95,No +2749-CTKAJ,Male,0,Yes,Yes,22,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.15,419.9,No +6371-NZYEG,Male,0,Yes,Yes,16,Yes,No,DSL,Yes,No,Yes,No,Yes,No,Two year,No,Mailed check,64.25,1024,No +7554-NEWDD,Male,0,No,No,10,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),25.7,251.6,No +8992-VONJD,Female,0,No,Yes,13,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,56,764.55,No +0867-MKZVY,Female,0,Yes,No,20,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,No,Electronic check,82.4,1592.35,Yes +4482-EWFMI,Female,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.7,135.2,No +4648-YPBTM,Male,0,No,No,53,Yes,Yes,DSL,No,Yes,Yes,Yes,No,Yes,Two year,Yes,Bank transfer (automatic),73.9,3958.25,No +2907-ILJBN,Female,0,Yes,Yes,11,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.6,233.9,No +6345-FZOQH,Male,0,Yes,No,69,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.9,1363.45,No +3376-BMGFE,Female,0,No,No,4,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),70.9,273,Yes +5997-OPVFA,Male,0,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),89.05,6254.45,No +3445-HXXGF,Male,1,Yes,No,58,No,No phone service,DSL,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,45.3,2651.2,Yes +1159-WFSGR,Female,0,Yes,Yes,16,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,20.4,321.4,No +7654-YWJUF,Male,0,Yes,No,43,Yes,No,Fiber optic,Yes,No,Yes,Yes,No,No,One year,Yes,Bank transfer (automatic),84.25,3539.25,No +1875-QIVME,Female,0,Yes,No,2,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,104.4,242.8,Yes +6727-IOTLZ,Male,0,Yes,No,14,Yes,No,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Mailed check,81.95,1181.75,No +0691-JVSYA,Female,0,Yes,No,53,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),94.85,5000.2,Yes +5918-VUKWP,Female,0,No,No,32,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),20.55,654.55,No +1744-JHKYS,Female,0,Yes,No,34,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,24.7,780.2,No +2656-FMOKZ,Female,1,No,No,15,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,74.45,1145.7,Yes +2070-FNEXE,Female,1,No,No,7,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),76.45,503.6,Yes +5947-SGKCL,Female,0,Yes,Yes,15,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),105.35,1559.25,No +3712-PKXZA,Male,0,Yes,No,61,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Credit card (automatic),20.55,1252,No +6317-YPKDH,Female,0,No,No,1,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,No,Bank transfer (automatic),29.95,29.95,Yes +6582-OIVSP,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,45.3,45.3,No +9367-WXLCH,Male,0,No,No,8,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Bank transfer (automatic),84.5,662.65,Yes +5524-KHNJP,Male,0,Yes,Yes,33,Yes,No,DSL,Yes,No,Yes,No,Yes,Yes,One year,No,Credit card (automatic),74.75,2453.3,No +1918-ZBFQJ,Female,0,No,No,13,Yes,No,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,79.25,1111.65,Yes +1024-GUALD,Female,0,Yes,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,24.8,24.8,Yes +4827-USJHP,Male,0,No,No,20,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,51.8,1023.85,No +8167-GJLRN,Male,0,No,No,3,No,No phone service,DSL,No,No,No,Yes,No,No,Month-to-month,No,Electronic check,30.4,82.15,No +0956-SYCWG,Female,0,No,No,13,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Electronic check,19.65,244.8,No +8017-UVSZU,Female,0,Yes,No,40,Yes,Yes,DSL,No,Yes,No,No,No,No,Month-to-month,No,Credit card (automatic),56.6,2379.1,No +7100-FQPRV,Male,0,Yes,Yes,43,Yes,Yes,DSL,Yes,No,No,Yes,No,Yes,One year,Yes,Credit card (automatic),71.9,3173.35,No +2472-OVKUP,Male,0,Yes,No,6,Yes,No,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,91,531,Yes +2984-RGEYA,Female,0,Yes,Yes,69,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.75,1375.4,No +9680-NIAUV,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Two year,No,Credit card (automatic),109.7,8129.3,No +2146-EGVDT,Male,0,Yes,Yes,59,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.3,1192.7,No +2604-IJPDU,Female,0,Yes,No,20,Yes,No,Fiber optic,Yes,Yes,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,96.55,1901.65,No +9178-JHUVJ,Male,0,Yes,Yes,24,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),24.1,587.4,No +6168-YBYNP,Male,0,No,No,59,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,111.35,6519.75,No +7255-SSFBC,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),112.25,8041.65,No +3645-DEYGF,Male,0,No,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.75,20.75,No +9323-HGFWY,Female,0,Yes,No,27,Yes,No,Fiber optic,Yes,No,No,Yes,Yes,Yes,One year,Yes,Credit card (automatic),101.9,2681.15,No +8544-GOQSH,Female,0,No,No,14,Yes,No,Fiber optic,No,Yes,No,Yes,No,No,Month-to-month,Yes,Credit card (automatic),80.05,1112.3,No +3363-DTIVD,Male,0,Yes,Yes,71,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,Two year,No,Electronic check,105.55,7405.5,No +7018-WBJNK,Male,0,No,Yes,13,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),78.3,1033.95,No +9142-KZXOP,Male,0,No,No,44,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Credit card (automatic),68.85,2958.95,No +7674-YTAFD,Female,0,No,No,33,Yes,No,Fiber optic,No,Yes,No,Yes,No,No,One year,Yes,Bank transfer (automatic),79.95,2684.85,No +6348-SNFUS,Male,0,Yes,Yes,72,No,No phone service,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,Yes,Credit card (automatic),55.45,4179.2,No +1285-OKIPP,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,79.9,79.9,Yes +7825-ECJRF,Female,0,No,No,19,Yes,No,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,106.6,1934.45,Yes +1347-KTTTA,Male,0,Yes,No,64,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),102.45,6654.1,No +7841-TZDMQ,Male,0,No,No,2,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),46,84.5,Yes +4195-NZGTA,Female,0,No,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,25.25,25.25,No +7157-SMCFK,Male,0,No,Yes,61,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.75,1124.2,No +4709-LKHYG,Female,0,Yes,Yes,29,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Electronic check,20,540.05,No +2504-DSHIH,Male,1,Yes,No,23,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,86.8,1975.85,No +0699-NDKJM,Female,0,Yes,No,57,No,No phone service,DSL,Yes,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),58.75,3437.45,No +9286-BHDQG,Male,0,Yes,Yes,72,No,No phone service,DSL,Yes,Yes,Yes,Yes,No,No,Two year,No,Credit card (automatic),45.25,3139.8,No +0230-WEQUW,Male,0,Yes,No,66,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,Yes,Bank transfer (automatic),56.6,3789.2,No +2040-LDIWQ,Male,0,Yes,Yes,65,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),84.2,5324.5,No +6496-JDSSB,Female,0,No,No,8,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),80,624.6,No +9408-SSNVZ,Female,0,No,No,4,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.15,268.35,Yes +4443-EMBNA,Female,0,Yes,No,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),24.75,1836.9,No +6469-MRVET,Male,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Electronic check,20.2,20.2,No +0742-MOABM,Male,0,Yes,No,4,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,No,Mailed check,50.05,179.35,Yes +5961-VUSRV,Female,0,No,No,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),19.35,219.35,No +6778-JFCMK,Male,0,No,No,24,No,No phone service,DSL,Yes,No,No,No,Yes,Yes,One year,Yes,Mailed check,50.6,1288.75,No +6341-JVQGF,Female,0,Yes,Yes,31,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Mailed check,81.15,2545.75,No +2232-DMLXU,Female,0,Yes,No,1,Yes,No,DSL,No,No,No,No,Yes,No,Month-to-month,No,Mailed check,55.2,55.2,Yes +4811-JBUVU,Male,0,No,No,30,Yes,Yes,Fiber optic,No,No,No,Yes,No,Yes,Month-to-month,Yes,Credit card (automatic),89.9,2723.15,No +0945-TSONX,Female,0,Yes,Yes,47,Yes,Yes,DSL,Yes,Yes,No,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),85.3,4107.25,No +2651-ZCBXV,Male,0,No,No,54,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),108,5760.65,No +3316-UWXUY,Male,0,No,No,50,Yes,No,Fiber optic,Yes,Yes,No,Yes,No,Yes,Month-to-month,Yes,Credit card (automatic),93.5,4747.5,No +8937-RDTHP,Male,0,No,No,1,Yes,No,Fiber optic,Yes,No,No,No,No,Yes,Month-to-month,Yes,Mailed check,84.6,84.6,Yes +7083-MIOPC,Female,0,No,No,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.25,1566.9,No +1984-GPTEH,Female,0,No,No,29,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,25.15,702,No +1251-KRREG,Male,0,No,No,2,Yes,Yes,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,54.4,114.1,Yes +0621-JFHOL,Female,0,No,No,10,No,No phone service,DSL,No,No,No,Yes,No,No,Two year,Yes,Mailed check,29.6,299.05,No +9903-LYSAB,Male,0,Yes,No,18,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,73.15,1305.95,No +0094-OIFMO,Female,1,No,No,11,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95,1120.3,Yes +9227-UAQFT,Male,0,No,No,16,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.75,284.35,No +7301-ABVAD,Female,0,No,No,72,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),86.6,6350.5,No +6614-FHDBO,Male,0,No,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),109.2,7878.3,No +7576-ASEJU,Female,0,Yes,Yes,41,Yes,No,DSL,Yes,No,No,Yes,Yes,Yes,One year,Yes,Credit card (automatic),74.7,3187.65,No +9058-HRZSV,Female,1,Yes,No,65,Yes,No,Fiber optic,Yes,Yes,Yes,No,No,Yes,Month-to-month,No,Electronic check,94.4,6126.15,No +4522-AKYLR,Female,1,No,No,13,Yes,No,DSL,No,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,54.8,731.3,No +0221-WMXNQ,Male,1,No,No,4,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,No,Electronic check,75.35,273.4,No +0303-UNCIP,Male,0,No,No,41,Yes,Yes,DSL,No,No,Yes,No,No,Yes,One year,No,Mailed check,65,2531.8,No +9947-OTFQU,Male,1,No,No,15,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,74.4,1074.3,Yes +0322-YINQP,Male,0,No,No,1,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Mailed check,48.55,48.55,Yes +0959-WHOKV,Male,0,No,No,42,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,Yes,One year,Yes,Electronic check,99,4298.45,No +4075-JFPGR,Female,0,Yes,No,51,Yes,No,Fiber optic,Yes,Yes,Yes,No,Yes,No,One year,Yes,Electronic check,93.5,4619.55,No +4629-NRXKX,Female,0,Yes,Yes,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,70.4,147.15,Yes +9514-JDSKI,Male,1,Yes,No,1,No,No phone service,DSL,No,Yes,No,No,Yes,No,Month-to-month,No,Electronic check,40.2,40.2,Yes +3282-ZISZV,Male,0,No,Yes,32,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,One year,No,Credit card (automatic),83.7,2633.3,No +3675-YDUPJ,Male,0,No,No,10,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.85,193.05,No +4111-BNXIF,Female,0,Yes,Yes,67,No,No phone service,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,59.55,4103.9,No +7017-VFHAY,Female,0,Yes,Yes,61,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),115.1,7008.15,No +6655-LHBYW,Male,0,No,No,50,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,No,Credit card (automatic),114.35,5791.1,No +4959-JOSRX,Female,0,Yes,No,2,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),44.6,80.55,Yes +5046-NUHWD,Female,1,Yes,No,29,No,No phone service,DSL,Yes,No,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,45,1228.65,No +7273-TEFQD,Male,1,No,No,3,No,No phone service,DSL,No,No,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,41.15,132.2,Yes +3606-TWKGI,Male,1,No,No,13,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,106.9,1364.3,Yes +7529-ZDFXI,Male,1,Yes,No,57,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,89.85,4925.35,No +7605-BDWDC,Female,0,No,No,31,No,No phone service,DSL,Yes,Yes,No,Yes,No,Yes,Two year,Yes,Bank transfer (automatic),49.85,1520.1,No +1950-KSVVJ,Female,0,Yes,No,45,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,No,Mailed check,113.3,5032.25,No +0123-CRBRT,Female,0,Yes,Yes,61,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Mailed check,88.1,5526.75,No +6292-TOSSS,Male,0,No,No,50,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),24.9,1195.25,No +3197-ARFOY,Female,1,No,No,19,Yes,No,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Mailed check,105,2007.25,No +6323-AYBRX,Male,0,No,No,59,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.35,1099.6,Yes +7014-ZZXAW,Female,0,Yes,No,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),24.25,1732.95,No +4385-GZQXV,Female,1,No,No,16,Yes,No,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,94.45,1511.2,Yes +7633-MVPUY,Male,0,Yes,No,57,Yes,No,DSL,Yes,Yes,No,Yes,No,No,Two year,Yes,Electronic check,59.75,3450.15,No +6366-ZGQGL,Male,0,No,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),24.8,24.8,Yes +4716-HHKQH,Male,1,Yes,No,20,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,Month-to-month,No,Electronic check,107.05,2172.05,No +5940-AHUHD,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Mailed check,70.6,70.6,Yes +6432-TWQLB,Male,0,Yes,No,5,Yes,Yes,Fiber optic,No,Yes,No,Yes,No,No,Month-to-month,Yes,Electronic check,85.4,401.1,Yes +4484-GLZOU,Female,0,Yes,No,52,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,105.05,5624.85,Yes +3179-GBRWV,Male,1,Yes,No,21,Yes,No,DSL,Yes,Yes,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),64.95,1339.8,No +8645-KWHJO,Male,0,No,No,14,No,No phone service,DSL,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,55,771.95,No +4130-MZLCC,Female,0,No,No,5,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,No,Bank transfer (automatic),50.55,244.75,No +0314-TKOSI,Female,0,No,No,6,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,No,Mailed check,55.15,322.9,No +8229-MYEJZ,Female,0,No,No,10,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,51.2,498.25,No +2080-SRCDE,Female,0,No,Yes,1,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,25.4,25.4,No +9577-WJVCQ,Female,0,No,No,68,Yes,Yes,DSL,Yes,No,No,No,No,No,Month-to-month,No,Mailed check,54.45,3687.75,No +9512-UIBFX,Male,0,Yes,Yes,18,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,No,Mailed check,95.15,1779.95,Yes +6202-DYYFX,Female,0,No,No,22,Yes,Yes,Fiber optic,No,No,No,No,No,No,One year,Yes,Credit card (automatic),76,1783.6,No +3808-HFKDE,Female,0,No,No,20,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,44.35,927.15,No +5583-SXDAG,Male,0,Yes,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,70,70,Yes +3488-PGMQJ,Male,1,No,No,8,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,74.5,606.55,Yes +3580-REOAC,Male,0,No,No,10,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),44.85,435.4,Yes +7534-BFESC,Male,1,No,No,24,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,76.1,1712.7,Yes +3727-OWVYD,Male,0,No,No,35,Yes,No,DSL,Yes,Yes,Yes,No,No,No,One year,No,Mailed check,61.2,2021.2,No +2294-SALNE,Male,0,Yes,Yes,23,Yes,No,Fiber optic,No,Yes,Yes,Yes,No,No,One year,No,Mailed check,86.8,1940.8,No +4847-TAJYI,Female,1,No,No,6,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,89.35,567.8,No +1563-IWQEX,Female,0,No,No,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.7,220.35,No +8203-XJZRC,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.25,20.25,No +6556-DBKZF,Female,0,Yes,Yes,71,Yes,No,Fiber optic,No,No,Yes,No,No,No,Two year,No,Electronic check,76.05,5436.45,No +6851-WEFYX,Male,1,Yes,No,35,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.8,3437.5,No +2985-JUUBZ,Male,0,Yes,Yes,40,Yes,Yes,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,74.55,3015.75,No +6390-DSAZX,Female,0,No,Yes,1,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Mailed check,73.6,73.6,Yes +0895-LMRSF,Male,0,No,No,23,Yes,No,DSL,No,No,No,No,Yes,Yes,One year,Yes,Bank transfer (automatic),64.9,1509.8,No +8098-LLAZX,Female,1,No,No,4,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.45,396.1,Yes +8266-VBFQL,Male,0,No,No,4,Yes,No,Fiber optic,No,No,Yes,Yes,No,Yes,Month-to-month,Yes,Electronic check,90.4,356.65,No +8181-YHCMF,Female,0,Yes,Yes,68,No,No phone service,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),60.3,4109,No +2240-HSJQD,Male,0,No,Yes,38,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,81.85,3141.7,No +1248-DYXUB,Male,0,Yes,Yes,52,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,24.8,1229.1,No +0265-EDXBD,Male,1,Yes,No,32,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.9,2303.35,Yes +4115-BNPJY,Male,0,Yes,Yes,29,Yes,No,DSL,No,No,Yes,Yes,Yes,Yes,Two year,No,Mailed check,75.55,2054.4,No +3167-SNQPL,Male,1,Yes,Yes,38,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,No,Electronic check,101.15,3741.85,No +4091-TVOCN,Male,0,No,Yes,48,Yes,Yes,DSL,Yes,No,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),78.75,3682.45,No +1098-TDVUQ,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Bank transfer (automatic),19.25,19.25,No +7277-OZCGZ,Female,0,No,No,22,Yes,No,Fiber optic,Yes,No,No,Yes,No,Yes,Month-to-month,Yes,Electronic check,89.05,1886.25,No +1557-EMYVT,Female,0,No,No,43,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),115.05,4895.1,No +2799-ARNLO,Female,1,Yes,No,5,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.35,341.6,No +7563-BIUPC,Male,0,No,No,5,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,80.6,415.55,Yes +5027-YOCXN,Male,0,Yes,Yes,51,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,One year,No,Credit card (automatic),110.05,5686.4,No +3973-SKMLN,Male,0,No,No,71,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),19.9,1355.1,No +2321-OMBXY,Female,0,Yes,Yes,38,Yes,No,DSL,Yes,Yes,No,Yes,Yes,Yes,One year,No,Credit card (automatic),80.3,3058.65,Yes +2840-XANRC,Male,1,Yes,No,24,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,93.15,2231.05,Yes +6745-JEFZB,Male,0,Yes,No,35,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,No,Month-to-month,Yes,Credit card (automatic),91.5,3236.35,No +5020-ZSTTY,Female,1,No,No,54,Yes,Yes,DSL,Yes,Yes,No,Yes,Yes,Yes,One year,No,Bank transfer (automatic),82.45,4350.1,Yes +9880-TDQAC,Female,0,Yes,Yes,72,No,No phone service,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,60,4264,No +8705-WZCYL,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,44.8,44.8,No +7102-JJVTX,Female,0,Yes,Yes,9,Yes,No,DSL,Yes,No,No,No,No,No,One year,No,Mailed check,48.6,422.3,No +8626-PTQGE,Male,0,No,No,69,No,No phone service,DSL,Yes,Yes,No,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),60.05,4176.7,No +4983-CLMLV,Female,0,Yes,No,52,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),102.7,5138.1,No +5701-YVSVF,Female,1,Yes,No,11,Yes,No,Fiber optic,No,No,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,82.9,880.05,No +5804-LEPIM,Female,1,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.35,139.05,Yes +5697-GOMBF,Female,1,Yes,Yes,28,No,No phone service,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,35.9,973.65,No +2739-CACDQ,Female,1,No,No,17,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),82.65,1470.05,No +9385-EHGDO,Female,0,Yes,Yes,35,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,19.85,739.35,No +9498-FIMXL,Female,0,No,No,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,19.2,161.95,No +2379-GYFLQ,Male,0,No,No,46,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,One year,Yes,Credit card (automatic),94.9,4422.95,No +0122-OAHPZ,Female,0,No,No,7,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,73.85,511.25,Yes +2868-SNELZ,Female,0,No,No,2,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,No,Mailed check,80.6,155.8,Yes +4322-RCYMT,Male,0,Yes,Yes,68,Yes,Yes,DSL,No,Yes,Yes,Yes,No,Yes,One year,Yes,Bank transfer (automatic),75.8,5293.95,Yes +6680-NENYN,Female,0,No,No,43,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Electronic check,104.6,4759.85,Yes +2088-IEBAU,Female,0,No,No,68,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,88.15,6148.45,No +7982-VCELR,Female,0,No,No,36,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),94.8,3565.65,No +1343-EHPYB,Male,0,Yes,No,63,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,103.4,6603,Yes +6035-BXTTY,Female,1,No,No,32,Yes,No,DSL,No,Yes,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),54.65,1830.1,No +6885-PKOAM,Female,0,Yes,No,71,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),85.75,6223.8,No +7520-HQWJU,Female,0,Yes,Yes,66,Yes,Yes,DSL,Yes,Yes,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),67.45,4508.65,No +9639-BUJXT,Male,0,No,No,63,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.5,1328.15,No +5924-SNGKP,Female,0,No,Yes,41,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Credit card (automatic),20.25,865,No +0021-IKXGC,Female,1,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,72.1,72.1,No +2034-GDRCN,Female,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,90.4,168.2,Yes +8966-SNIZF,Female,0,Yes,No,70,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.45,1303.5,No +6243-OZGFH,Female,0,No,No,23,No,No phone service,DSL,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,44.95,996.85,No +4654-DLAMQ,Female,1,Yes,No,64,Yes,No,Fiber optic,Yes,Yes,Yes,No,No,Yes,One year,No,Bank transfer (automatic),97,6430.9,No +0513-RBGPE,Male,0,Yes,Yes,37,Yes,Yes,DSL,Yes,No,Yes,Yes,No,No,Two year,Yes,Credit card (automatic),62.8,2278.75,No +5160-UXJED,Male,0,No,Yes,17,Yes,No,DSL,No,No,No,No,No,No,One year,No,Mailed check,44.6,681.4,No +4115-NZRKS,Female,1,No,No,7,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,89.15,574.35,No +0219-YTZUE,Male,0,Yes,Yes,4,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),84.8,371.9,Yes +0623-IIHUG,Female,1,No,No,21,No,No phone service,DSL,Yes,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,41.9,840.1,Yes +4572-DVCGN,Female,0,No,No,10,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),80.25,846,Yes +3351-NGXYI,Female,1,No,No,16,Yes,Yes,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,54.1,889,No +8984-EYLLL,Male,0,Yes,No,64,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,Two year,Yes,Electronic check,105.25,6823.4,No +9057-MSWCO,Male,1,Yes,No,27,No,No phone service,DSL,Yes,No,No,No,No,No,Month-to-month,No,Credit card (automatic),30.75,805.1,Yes +9833-TGFHX,Male,0,Yes,Yes,42,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,One year,No,Electronic check,97.1,4016.75,No +9294-TDIPC,Male,0,No,Yes,5,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.2,83.75,No +5229-DTFYB,Female,0,No,No,41,Yes,No,Fiber optic,No,Yes,No,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),98.8,3959.15,No +0104-PPXDV,Male,0,Yes,No,58,Yes,No,DSL,No,No,Yes,No,No,No,One year,No,Credit card (automatic),50.3,2878.55,No +5176-LMJXE,Female,0,No,No,47,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,20.55,945.7,No +3583-KRKMD,Male,0,No,No,18,Yes,No,Fiber optic,No,No,No,Yes,No,No,Month-to-month,Yes,Bank transfer (automatic),75.9,1373.05,No +1010-DIAUQ,Male,0,No,No,5,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,No,Bank transfer (automatic),96.5,492.55,Yes +9069-LGEUL,Male,0,Yes,No,23,Yes,No,DSL,Yes,No,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),59.95,1406,No +7302-ZHMHP,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.15,19.15,No +9571-EDEBV,Male,0,Yes,No,71,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),98.65,6962.85,No +3520-FJGCV,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),112.6,8126.65,No +6563-VRERX,Male,0,Yes,Yes,33,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.6,690.25,No +0259-GBZSH,Male,0,No,No,2,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,85.65,181.5,Yes +6122-EFVKN,Male,0,No,Yes,24,No,No phone service,DSL,Yes,No,No,Yes,No,No,Two year,No,Mailed check,35.75,830.8,No +2805-EDJPQ,Female,0,Yes,Yes,56,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,No,Yes,One year,Yes,Credit card (automatic),99.75,5608.4,No +6862-CQUMB,Male,0,No,No,37,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),96.1,3646.8,No +7156-MXBJE,Female,0,No,No,43,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,One year,No,Credit card (automatic),85.1,3662.25,No +6158-HDPXZ,Male,0,No,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,25.35,25.35,No +9601-BRXPO,Female,0,Yes,No,25,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),104.95,2566.5,Yes +2863-IMQDR,Female,0,No,No,61,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Electronic check,89.65,5308.7,No +5686-CMAWK,Male,0,No,No,17,Yes,Yes,Fiber optic,No,No,Yes,Yes,No,No,One year,No,Electronic check,86.75,1410.25,No +5651-CRHKQ,Female,0,Yes,No,41,Yes,No,Fiber optic,No,Yes,Yes,Yes,No,No,One year,Yes,Bank transfer (automatic),86.2,3339.05,No +6905-NIQIN,Male,0,No,No,1,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,No,Mailed check,50.65,50.65,Yes +8204-YJCLA,Male,1,Yes,Yes,72,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),64.8,4732.35,No +5167-ZFFMM,Male,0,No,No,1,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),90.85,90.85,Yes +6583-SZVGP,Male,0,No,No,48,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),108.1,5067.45,No +4895-TMWIR,Male,1,Yes,No,11,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.95,214.75,Yes +0533-BNWKF,Female,1,Yes,No,55,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,85.45,4874.7,Yes +1708-PBBOA,Female,0,No,No,42,No,No phone service,DSL,Yes,Yes,Yes,Yes,No,Yes,One year,Yes,Electronic check,54.75,2348.45,No +8782-LKFPK,Male,0,No,No,44,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Mailed check,90.4,4063,No +5522-JBWMO,Male,0,No,Yes,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,44,44,No +3597-MVHJT,Female,0,No,No,27,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),95.6,2595.25,No +9774-NRNAU,Male,1,Yes,No,27,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),84.8,2309.55,No +0224-RLWWD,Female,1,No,No,2,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,44.3,89.3,No +9967-ATRFS,Female,0,No,No,19,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.9,367.55,No +3951-NJCVI,Female,1,Yes,No,42,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.05,3944.5,No +2977-CEBSX,Female,0,No,No,66,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),90.05,5965.95,No +0177-PXBAT,Male,1,Yes,No,33,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),109.9,3694.7,No +6599-CEBNN,Female,0,No,No,34,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),73.95,2524.45,Yes +2519-ERQOJ,Male,1,No,No,33,No,No phone service,DSL,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,54.6,1803.7,No +5876-QMYLD,Female,0,Yes,Yes,23,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.05,415.1,No +2277-AXSDC,Female,0,No,No,32,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),19.75,624.15,No +9442-JTWDL,Female,0,No,No,11,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),20.05,237.7,No +0979-PHULV,Male,0,Yes,Yes,69,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),99.45,7007.6,Yes +3067-SVMTC,Female,0,Yes,No,68,Yes,No,DSL,Yes,No,No,Yes,No,No,One year,No,Bank transfer (automatic),55.9,3848.8,No +5495-GPSRW,Male,0,No,No,20,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,19.7,419.4,No +7606-BPHHN,Male,0,No,No,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),19.8,1468.75,No +4742-DRORA,Male,0,Yes,Yes,60,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,No,One year,Yes,Bank transfer (automatic),95.4,5812,No +0111-KLBQG,Male,1,Yes,Yes,32,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Mailed check,93.95,2861.45,No +4800-VHZKI,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.9,19.9,Yes +7989-CHGTL,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.6,19.6,Yes +0334-GDDSO,Male,1,No,No,3,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,81.35,233.7,Yes +4163-NCJAK,Female,0,Yes,No,46,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),24.45,1066.15,No +5233-AOZUF,Female,0,Yes,No,29,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.95,2149.05,No +5973-EJGDP,Male,0,No,No,51,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,No,No,Month-to-month,Yes,Electronic check,87.35,4473,No +1996-DBMUS,Female,1,Yes,No,48,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),70.65,3545.05,No +7916-VCCPB,Female,0,Yes,Yes,16,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,No,Bank transfer (automatic),73.25,1195.75,No +4686-GEFRM,Male,0,Yes,No,70,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,No,Yes,Two year,Yes,Bank transfer (automatic),98.7,6858.9,No +5249-QYHEX,Female,0,Yes,Yes,40,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,24.8,1024.7,No +0578-SKVMF,Female,0,Yes,Yes,22,Yes,No,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,No,Electronic check,83.3,1845.9,Yes +5564-NEMQO,Female,1,No,No,1,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),75.3,75.3,Yes +2233-FAGXV,Female,0,Yes,Yes,5,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,24.3,132.25,No +5605-IYGFG,Female,0,No,No,7,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),69.85,515.45,No +7663-ZTEGJ,Male,0,No,Yes,29,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,No,Yes,One year,No,Credit card (automatic),100.55,2830.45,No +3935-TBRZZ,Male,0,Yes,Yes,44,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,25.7,1110.5,No +8111-BKVDS,Female,0,No,No,10,No,No phone service,DSL,Yes,Yes,Yes,No,No,No,Month-to-month,No,Bank transfer (automatic),40.7,449.3,No +2055-SIFSS,Female,1,Yes,No,55,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),51.65,2838.55,No +2806-MLNTI,Male,1,Yes,No,52,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),105.1,5376.4,No +8734-DKSTZ,Female,0,Yes,Yes,10,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,85.95,858.6,No +4360-PNRQB,Male,0,No,No,18,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),75.6,1395.05,No +6152-ONASV,Female,0,Yes,No,68,Yes,Yes,DSL,Yes,No,No,Yes,No,No,One year,No,Bank transfer (automatic),58.25,3975.7,No +9063-ZGTUY,Female,0,Yes,Yes,61,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.4,1182.55,Yes +7781-HVGMK,Female,0,Yes,Yes,72,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),65.2,4784.45,No +2181-UAESM,Male,0,No,No,2,Yes,No,DSL,Yes,No,Yes,No,No,No,Month-to-month,No,Electronic check,53.45,119.5,No +2957-LOLHO,Male,0,No,No,12,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),45.4,518.9,Yes +6048-NJXHX,Male,0,Yes,No,41,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Electronic check,19.75,899.45,No +2320-SLKMB,Female,0,No,No,26,No,No phone service,DSL,No,No,Yes,Yes,Yes,No,Month-to-month,Yes,Credit card (automatic),44.45,1183.8,No +4980-URKXC,Male,0,Yes,No,36,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),20.85,720.05,No +4376-KFVRS,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),114.05,8468.2,No +5886-VLQVU,Male,0,Yes,No,35,Yes,Yes,Fiber optic,No,No,No,Yes,No,Yes,Month-to-month,Yes,Bank transfer (automatic),89.85,3161.2,No +3577-AMVUX,Male,0,No,No,1,Yes,No,DSL,No,No,Yes,Yes,No,No,Month-to-month,No,Mailed check,55.05,55.05,No +0771-WLCLA,Female,0,Yes,Yes,16,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,112.95,1882.55,No +5628-RKIFK,Female,1,No,No,49,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,No,Credit card (automatic),101.55,5070.4,No +0206-TBWLC,Female,0,Yes,No,54,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Mailed check,114.65,6049.5,No +2937-FTHUR,Female,0,No,Yes,18,Yes,Yes,DSL,Yes,No,No,No,No,Yes,Month-to-month,No,Electronic check,64.8,1166.7,No +1910-FMXJM,Female,0,Yes,No,36,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,80.4,2937.65,No +7752-XUSCI,Female,0,No,No,60,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,105.9,6396.45,Yes +4110-PFEUZ,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Mailed check,69.55,69.55,Yes +0732-OCQOC,Female,0,Yes,Yes,52,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),25.05,1270.25,No +5168-MSWXT,Male,0,Yes,Yes,8,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.75,759.55,No +1090-ESELR,Male,0,Yes,Yes,72,Yes,No,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),105.5,7611.55,No +8592-PLTMQ,Female,0,No,No,64,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,24.7,1642.75,No +5760-WRAHC,Female,1,No,No,22,Yes,No,DSL,Yes,No,Yes,Yes,No,Yes,Month-to-month,Yes,Mailed check,69.75,1545.4,No +8847-GEOOQ,Male,0,Yes,No,60,No,No phone service,DSL,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),60.2,3582.4,No +0256-LTHVJ,Female,0,Yes,Yes,28,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,81.05,2227.1,Yes +4785-FCIFB,Female,0,Yes,No,61,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,24.4,1417.9,No +8313-NDOIA,Female,0,No,No,24,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,104.15,2494.65,No +5149-CUZUJ,Male,0,Yes,Yes,28,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,No,One year,No,Bank transfer (automatic),92.9,2768.35,No +0942-KOWSM,Female,0,Yes,Yes,30,Yes,No,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),80.8,2369.3,No +4237-CLSMM,Male,0,Yes,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20,38,No +1452-VOQCH,Male,0,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.1,75.1,No +4719-UMSIY,Male,0,No,Yes,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.65,100.9,No +6614-VBEGU,Female,0,Yes,No,24,Yes,No,DSL,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),69.45,1614.05,No +0880-TKATG,Male,0,Yes,Yes,4,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,No,Electronic check,101.15,385.9,Yes +3811-VBYBZ,Male,0,No,No,7,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.8,673.25,Yes +1480-BKXGA,Male,1,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),116.05,8404.9,No +2996-XAUVF,Male,0,No,No,70,No,No phone service,DSL,No,No,No,Yes,No,Yes,Two year,Yes,Mailed check,40.05,2799.75,No +9076-AXYIK,Male,1,Yes,No,64,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Two year,No,Electronic check,102.1,6538.45,No +5968-XQIVE,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,One year,Yes,Electronic check,89.7,6588.95,No +8896-RAZCR,Female,0,No,Yes,44,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.9,868.1,No +4640-UHDOS,Female,0,Yes,Yes,13,Yes,No,DSL,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,55.95,734.35,Yes +4933-IKULF,Female,1,No,No,17,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.65,330.6,No +3583-EKAPL,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,55,55,Yes +1304-BCCFO,Male,0,Yes,No,9,Yes,No,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Mailed check,70.05,564.4,No +4104-PVRPS,Male,0,Yes,No,24,Yes,No,DSL,Yes,No,No,Yes,No,No,Month-to-month,No,Mailed check,53.6,1315.35,No +9399-APLBT,Female,0,Yes,Yes,1,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,74.7,74.7,Yes +2359-KMGLI,Male,0,No,No,24,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,80.25,1861.5,Yes +3780-DDGSE,Male,1,Yes,Yes,35,Yes,No,DSL,No,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,76.05,2747.2,No +4431-EDMIQ,Female,0,Yes,Yes,7,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,No,Month-to-month,Yes,Electronic check,75.7,554.05,No +0306-JAELE,Male,0,No,No,5,Yes,No,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,96.1,453.4,Yes +6227-HWPWX,Female,0,No,Yes,15,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),69,994.8,Yes +0486-LGCCH,Male,0,Yes,Yes,11,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.65,225.75,No +0447-BEMNG,Female,0,Yes,No,48,No,No phone service,DSL,Yes,No,Yes,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),45.3,2145,Yes +4612-SSVHJ,Female,1,No,No,20,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,81.45,1671.6,No +5168-MQQCA,Female,0,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),108.5,8003.8,No +5949-XIKAE,Female,0,Yes,Yes,8,Yes,No,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,83.55,680.05,Yes +7971-HLVXI,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Two year,Yes,Credit card (automatic),84.5,6130.85,No +9094-AZPHK,Female,0,No,No,15,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.15,1415,No +3649-JPUGY,Male,0,No,No,72,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),88.6,6201.95,No +4472-LVYGI,Female,0,Yes,Yes,0,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,No,Two year,Yes,Bank transfer (automatic),52.55, ,No +8372-JUXUI,Male,0,No,Yes,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.35,74.35,Yes +3552-CTCYF,Male,0,Yes,Yes,63,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),104.8,6597.25,No +6778-YSNIH,Female,0,No,No,2,Yes,No,DSL,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,59,114.15,No +0388-EOPEX,Female,0,Yes,No,2,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.4,139.4,Yes +5756-OZRIO,Male,1,Yes,No,61,Yes,Yes,DSL,No,Yes,No,No,No,Yes,One year,No,Bank transfer (automatic),64.05,3902.6,No +6579-JPICP,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.4,20.4,No +8205-OTCHB,Male,0,No,No,22,No,No phone service,DSL,No,Yes,Yes,No,No,Yes,One year,Yes,Bank transfer (automatic),43.75,903.6,Yes +4134-BSXLX,Male,0,Yes,No,28,Yes,No,DSL,Yes,Yes,No,Yes,No,No,Month-to-month,No,Mailed check,60.9,1785.65,No +0505-SPOOW,Female,0,Yes,No,70,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.8,1397.65,No +6235-VDHOM,Female,1,No,No,5,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,28.45,131.05,Yes +7783-YKGDV,Female,0,No,No,12,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),99.7,1238.45,Yes +4374-YMUSQ,Male,0,No,No,34,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,No,Credit card (automatic),116.25,3899.05,No +4513-CXYIX,Female,1,Yes,No,71,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Two year,Yes,Credit card (automatic),80.7,5676,No +3957-HHLMR,Female,0,Yes,Yes,70,Yes,Yes,DSL,Yes,No,No,No,No,Yes,One year,No,Bank transfer (automatic),65.2,4543.15,No +7803-XOCCZ,Female,0,Yes,Yes,52,Yes,No,Fiber optic,Yes,No,Yes,Yes,No,No,Month-to-month,Yes,Bank transfer (automatic),84.05,4326.8,No +5736-YEJAX,Male,0,No,Yes,69,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,Yes,Credit card (automatic),79.45,5502.55,No +5609-CEBID,Female,1,No,No,20,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,94.1,1782.4,Yes +8981-FJGLA,Male,0,No,Yes,11,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Mailed check,78,851.8,No +7218-HKQFK,Male,0,Yes,No,2,Yes,No,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,94.2,167.5,Yes +4636-QRJKY,Female,0,Yes,Yes,6,Yes,Yes,Fiber optic,No,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,80.5,502.85,Yes +1135-LMECX,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.85,19.85,No +4332-MUOEZ,Male,1,Yes,Yes,20,Yes,No,Fiber optic,Yes,No,Yes,Yes,No,Yes,One year,No,Credit card (automatic),94.3,1818.3,No +8535-SFUTN,Male,0,No,No,61,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,106.45,6300.15,No +5956-VKDTT,Female,1,Yes,No,5,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.35,334.8,Yes +8677-HDZEE,Female,0,No,No,56,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),105.45,5916.95,No +2475-MROZF,Male,0,No,No,30,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,No,Month-to-month,Yes,Credit card (automatic),95,2852.4,No +9412-GHEEC,Male,0,No,No,40,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,No,Bank transfer (automatic),104.8,4131.95,Yes +3482-ABPKK,Female,0,No,No,28,Yes,No,DSL,Yes,No,No,Yes,No,No,One year,No,Mailed check,54.3,1546.3,No +6705-LXORM,Female,1,Yes,No,5,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,70.05,302.6,No +0257-ZESQC,Female,1,Yes,No,27,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),75.2,1929.35,Yes +7531-GQHME,Male,0,No,No,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),20.05,265.45,No +5174-ITUMV,Male,0,Yes,Yes,67,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,105.4,6989.45,No +4109-CYRBD,Male,1,Yes,No,29,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,51.6,1442,No +0913-XWSCN,Male,0,Yes,Yes,55,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Bank transfer (automatic),85.5,4713.4,No +6825-UYPFK,Female,0,No,No,23,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),75.6,1758.6,Yes +8397-MVTAZ,Male,0,Yes,No,34,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.05,3480,Yes +0750-EBAIU,Male,0,No,No,52,Yes,No,Fiber optic,Yes,No,Yes,No,Yes,No,One year,No,Electronic check,91.25,4738.3,No +8606-CIQUL,Male,1,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),115.75,8399.15,No +3571-DPYUH,Male,0,Yes,Yes,58,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,No,One year,Yes,Credit card (automatic),94.7,5430.35,No +7601-GNDYK,Male,0,Yes,Yes,35,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.6,686.95,No +0356-OBMAC,Female,1,No,No,56,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,No,Two year,Yes,Bank transfer (automatic),99.9,5706.3,No +8067-NIOYM,Female,0,Yes,Yes,24,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),21.1,490.65,No +1403-GYAFU,Male,0,Yes,Yes,70,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.05,1360.25,No +4234-XTNEA,Male,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,79.95,174.45,No +1297-VQDRP,Male,1,Yes,Yes,68,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),107.15,7379.8,No +9282-IZGQK,Female,0,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,85,85,Yes +5348-CAGXB,Male,0,No,No,12,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,89.55,1021.75,No +0621-HJWXJ,Female,0,Yes,No,63,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),81.55,5029.05,No +5844-QVTAT,Female,0,Yes,Yes,33,Yes,No,DSL,Yes,Yes,Yes,No,No,No,One year,Yes,Mailed check,58.45,1955.4,No +8905-IAZPF,Female,0,Yes,No,69,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,One year,Yes,Credit card (automatic),95.65,6744.2,No +5394-MEITZ,Female,0,Yes,Yes,60,Yes,No,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),80.6,4946.7,No +6859-QNXIQ,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),113.1,8248.5,No +2782-LFZVW,Female,0,No,No,11,Yes,Yes,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Mailed check,58.95,601.6,No +2866-IKBTM,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.55,19.55,No +1342-JPNKI,Male,0,No,No,10,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),86.05,834.1,Yes +2817-NTQDO,Male,0,No,No,13,No,No phone service,DSL,Yes,No,No,Yes,Yes,No,Month-to-month,Yes,Credit card (automatic),45.55,597,Yes +7129-AZJDE,Male,0,Yes,Yes,34,Yes,No,Fiber optic,No,No,No,No,No,Yes,One year,Yes,Bank transfer (automatic),78.95,2647.2,No +6986-IJDHX,Male,0,Yes,Yes,39,Yes,No,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Mailed check,86.3,3266,Yes +2560-PPCHE,Female,0,No,No,65,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),105.05,6744.25,No +4676-MQUEA,Male,1,Yes,No,50,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,No,One year,Yes,Bank transfer (automatic),101.9,5265.5,No +8138-EALND,Male,0,No,No,15,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.75,311.6,No +3580-HYCSP,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),110.3,7966.9,No +1352-HNSAW,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),115.6,8220.4,No +2075-PUEPR,Male,0,Yes,Yes,55,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.35,1153.25,No +1982-FEBTD,Female,0,Yes,Yes,23,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),25.6,514.75,No +5301-GAUUY,Male,0,No,No,32,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),80.35,2596.15,Yes +5791-KAJFD,Female,0,Yes,Yes,56,Yes,Yes,DSL,Yes,No,Yes,No,No,Yes,One year,Yes,Bank transfer (automatic),68.75,3808,No +2654-VBVPB,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),19.9,19.9,No +1154-HYWWO,Male,0,No,No,38,Yes,No,DSL,Yes,Yes,No,Yes,Yes,No,One year,No,Mailed check,70.6,2708.2,No +2501-XWWTZ,Male,0,No,No,11,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,70.2,760.05,No +3716-UVSPD,Male,0,No,No,1,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,49.3,49.3,No +6815-ABQFQ,Male,0,Yes,No,56,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,One year,Yes,Electronic check,107.25,6033.3,No +7343-EOBEU,Male,0,Yes,No,3,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,23.6,89.05,No +3701-SFMUH,Male,0,Yes,Yes,7,Yes,No,DSL,Yes,No,No,No,Yes,Yes,Month-to-month,No,Credit card (automatic),69.7,516.15,No +6103-LIANB,Male,0,Yes,Yes,59,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Two year,Yes,Credit card (automatic),99.5,5861.75,No +7319-VENRZ,Male,0,No,No,7,Yes,No,DSL,No,No,Yes,Yes,Yes,No,Month-to-month,No,Bank transfer (automatic),64.3,445.95,No +5846-NEQVZ,Male,0,Yes,Yes,71,Yes,No,DSL,Yes,No,Yes,Yes,No,Yes,Two year,Yes,Credit card (automatic),70.85,4973.4,No +6967-QIQRV,Male,0,Yes,Yes,15,Yes,No,Fiber optic,Yes,No,No,Yes,Yes,Yes,One year,No,Electronic check,101.9,1667.25,No +5781-RFZRP,Male,0,Yes,No,71,Yes,Yes,DSL,Yes,Yes,No,Yes,Yes,No,Two year,No,Credit card (automatic),73.5,5357.75,No +0939-YAPAF,Female,0,No,No,35,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.25,3527.6,Yes +0308-IVGOK,Female,0,No,No,11,No,No phone service,DSL,No,Yes,Yes,Yes,No,No,One year,Yes,Credit card (automatic),40.4,422.6,No +7293-LSCDV,Female,0,Yes,Yes,60,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),19.25,1103.25,No +7025-WCBNE,Male,1,No,No,47,Yes,Yes,DSL,No,Yes,No,Yes,No,No,Two year,No,Bank transfer (automatic),59.6,2754,No +5756-JYOJT,Female,0,No,No,11,Yes,No,DSL,No,No,Yes,Yes,No,Yes,One year,No,Credit card (automatic),64.9,697.25,No +4710-FDUIZ,Male,0,Yes,No,56,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,One year,No,Credit card (automatic),100.3,5614.45,Yes +6030-REHUX,Female,1,Yes,No,28,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,110.85,3204.4,No +9548-LIGTA,Male,0,Yes,No,61,Yes,No,DSL,Yes,Yes,No,Yes,Yes,Yes,Two year,Yes,Mailed check,81.05,4747.65,No +5150-LJNSR,Male,0,Yes,Yes,31,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,No,One year,No,Bank transfer (automatic),98.05,3082.1,No +8270-RKSAP,Male,0,No,No,9,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.5,597.9,No +6522-YRBXD,Male,1,Yes,No,35,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,94.55,3365.4,No +2640-LYMOV,Male,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.65,38.8,No +1218-VKFPE,Female,0,Yes,Yes,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19,233.55,Yes +3627-FHKBK,Female,0,No,No,1,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,No,Mailed check,75.3,75.3,Yes +2865-TCHJW,Female,1,No,No,4,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,89.2,346.2,Yes +1423-BMPBQ,Female,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19,19,No +2393-DIVAI,Female,0,No,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20,61.7,No +5192-EBGOV,Female,1,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,85.7,85.7,Yes +4568-KNYWR,Male,0,No,No,52,Yes,No,DSL,Yes,Yes,No,No,Yes,No,Two year,Yes,Credit card (automatic),63.25,3342.45,No +8752-IMQOS,Male,0,Yes,Yes,5,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.1,85.1,No +0742-LAFQK,Male,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,Yes,Two year,Yes,Electronic check,99.15,7422.1,No +0795-LAFGP,Male,0,Yes,Yes,71,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Electronic check,90.4,6668.05,No +0619-OLYUR,Male,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),111.9,8071.05,No +5512-IDZEI,Male,0,Yes,Yes,46,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Electronic check,24.9,1174.8,No +0459-SPZHJ,Male,0,Yes,Yes,63,Yes,Yes,DSL,Yes,Yes,Yes,No,Yes,Yes,Two year,No,Credit card (automatic),83.5,5435,No +0215-BQKGS,Male,0,No,No,30,Yes,No,Fiber optic,Yes,Yes,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),84.3,2438.6,No +9244-ZVAPM,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,45.6,45.6,No +0719-SYFRB,Female,0,No,No,12,Yes,Yes,DSL,Yes,No,Yes,Yes,No,No,Month-to-month,Yes,Mailed check,61.65,713.75,Yes +8208-EUMTE,Male,0,No,No,16,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,No,Mailed check,54.85,916.15,No +5172-MIGPM,Male,0,No,No,4,Yes,Yes,DSL,No,No,No,Yes,No,Yes,Month-to-month,No,Mailed check,65.55,237.2,No +1710-RCXUS,Male,0,Yes,No,51,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,One year,Yes,Credit card (automatic),90.35,4614.55,No +0374-FIUCA,Male,0,Yes,No,65,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),20.4,1414.45,No +5839-SUYVZ,Male,0,No,No,16,Yes,No,Fiber optic,No,No,No,Yes,No,No,Month-to-month,Yes,Credit card (automatic),74.55,1170.5,No +5173-ZXXXL,Male,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.95,47.7,No +1096-ADRUX,Female,0,Yes,Yes,66,Yes,Yes,Fiber optic,No,No,No,No,No,No,One year,Yes,Bank transfer (automatic),74.25,4859.25,No +2001-MCUUW,Male,0,No,No,46,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Electronic check,108.65,4903.2,No +2731-GJRDG,Female,0,No,No,32,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),109.55,3608,No +4723-BEGSG,Male,0,Yes,No,72,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),86.65,6094.25,No +6516-NKQBO,Male,0,Yes,Yes,38,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),81,3084.9,No +8672-OAUPW,Male,0,No,Yes,51,Yes,No,DSL,No,No,No,Yes,No,No,One year,No,Credit card (automatic),47.85,2356.75,No +8207-DMRVL,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),114.55,8306.05,No +3419-SNJJD,Female,1,Yes,No,65,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,Month-to-month,No,Bank transfer (automatic),105.25,6786.4,Yes +6543-CPZMK,Male,0,Yes,Yes,9,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,29.95,248.95,Yes +4765-OXPPD,Female,0,Yes,Yes,9,Yes,No,DSL,Yes,Yes,Yes,Yes,No,No,Month-to-month,No,Mailed check,65,663.05,Yes +2804-ETQDK,Male,0,No,Yes,66,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.55,1357.1,No +6689-VRRTK,Female,1,No,No,44,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),109.8,4860.35,No +7138-GIRSH,Male,0,No,No,50,Yes,Yes,DSL,No,No,Yes,Yes,No,Yes,Two year,No,Bank transfer (automatic),69.5,3418.2,No +9396-ZSFLL,Female,0,No,No,15,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,48.85,631.4,No +6464-KEXXH,Male,0,No,No,8,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),25.25,186.3,No +7134-MJPDY,Female,1,No,No,66,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),102.85,6976.75,No +5240-CAOYT,Female,0,No,No,57,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,No,No,Month-to-month,Yes,Bank transfer (automatic),87.55,4884.85,No +4059-IIEBK,Female,0,No,No,7,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),78.55,522.95,No +4881-JVQOD,Male,1,Yes,Yes,10,No,No phone service,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),34.55,362.6,No +0516-UXRMT,Female,0,No,No,62,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,No,One year,Yes,Electronic check,92.05,5755.8,No +4851-BQDNX,Male,0,Yes,Yes,40,Yes,No,Fiber optic,No,No,Yes,No,Yes,No,One year,Yes,Electronic check,85.05,3355.65,No +5148-HKFIR,Female,0,No,No,20,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.7,406.95,No +1009-IRMNA,Female,0,No,No,7,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),20,137.6,Yes +3003-CMDUU,Female,0,Yes,No,25,Yes,No,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,95.15,2395.7,No +5016-IBERQ,Male,0,Yes,No,23,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,No,Electronic check,84.25,1968.1,No +6797-UCJHZ,Female,1,Yes,No,66,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,No,Credit card (automatic),104.6,6819.45,No +2469-DTSGX,Female,1,No,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Electronic check,111.65,7943.45,No +4554-YGZIH,Male,1,Yes,No,49,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,No,Credit card (automatic),90.05,4547.25,Yes +5099-BAILX,Male,1,Yes,Yes,43,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),110.75,4687.9,Yes +9931-KGHOA,Female,0,Yes,No,46,Yes,Yes,DSL,Yes,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),55,2473.95,No +1775-KWJKQ,Male,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),89.85,6562.9,No +7665-VIGUD,Male,0,No,No,10,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.35,176.3,No +9411-TPQQV,Female,0,No,No,40,No,No phone service,DSL,Yes,No,No,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),54.55,2236.2,No +7207-RMRDB,Female,0,Yes,Yes,65,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,105.5,6985.65,Yes +7954-MLBUN,Male,0,No,No,31,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),99.45,3109.9,No +2077-DDHJK,Female,0,Yes,No,68,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,No,Two year,No,Credit card (automatic),70.9,4911.35,No +4913-EHYUI,Male,1,Yes,Yes,56,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),104.55,5794.65,Yes +0195-IESCP,Male,0,Yes,No,10,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,85.25,855.3,Yes +9574-BOSMD,Male,0,Yes,Yes,68,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),25.4,1620.2,No +4580-TMHJU,Female,0,Yes,Yes,43,Yes,No,DSL,No,No,No,No,Yes,No,Month-to-month,No,Electronic check,56.15,2499.3,Yes +0970-ETWGE,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,89.55,89.55,Yes +4908-XAXAY,Female,1,No,No,49,Yes,No,Fiber optic,No,Yes,Yes,No,No,Yes,One year,Yes,Bank transfer (automatic),89.85,4287.2,No +8404-VLQFB,Female,0,Yes,Yes,15,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,25.25,394.85,No +1626-ERCMM,Male,1,Yes,No,20,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.55,1899.65,Yes +0887-HJGAR,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,45.7,45.7,Yes +2391-IPLOP,Male,0,Yes,Yes,50,Yes,Yes,DSL,No,No,Yes,Yes,Yes,No,One year,Yes,Electronic check,69.65,3442.15,No +5644-PDMZC,Female,1,No,No,2,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,No,Electronic check,89.5,161.5,Yes +3509-GWQGF,Male,1,No,No,24,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Credit card (automatic),70,1732.6,No +9576-ANLXO,Female,0,No,No,3,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),69.55,222.3,Yes +2024-BASKD,Female,0,No,No,1,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Mailed check,74.6,74.6,Yes +5845-BZZIB,Male,0,Yes,Yes,35,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.1,655.3,No +1140-UKVZG,Female,0,No,No,17,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,24.8,475.25,No +4160-AMJTL,Female,1,No,No,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,19.65,164.3,Yes +5183-SNMJQ,Male,0,No,No,10,Yes,No,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),95.1,865.1,No +8100-PNJMH,Male,0,Yes,Yes,68,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),88.85,6132.7,No +7838-LAZFO,Male,0,Yes,No,45,Yes,No,DSL,Yes,Yes,Yes,No,Yes,Yes,One year,No,Bank transfer (automatic),78.8,3597.5,No +4464-JCOLN,Male,0,Yes,Yes,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.85,35.9,Yes +2085-JVGAD,Male,0,Yes,No,37,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),20.35,697.65,No +5650-VDUDS,Female,0,No,No,4,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,24.25,96.05,Yes +8095-WANWK,Female,0,No,No,10,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,45.25,428.7,No +3030-ZKIWL,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.05,20.05,No +9565-FLVCG,Male,0,Yes,Yes,65,Yes,Yes,DSL,Yes,Yes,No,No,No,Yes,Two year,Yes,Mailed check,69.55,4459.15,No +8755-OGKNA,Female,0,Yes,Yes,57,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.5,1167.6,No +2800-VEQXM,Female,0,No,No,3,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Mailed check,74.75,238.1,No +7538-GWHML,Female,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,69.65,145.15,Yes +5533-RJFTJ,Male,0,No,No,49,No,No phone service,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),30.2,1453.1,No +3859-CVCET,Female,0,No,No,4,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,45.65,191.05,Yes +0214-JHPFW,Female,0,Yes,No,70,No,No phone service,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),57.8,4039.3,No +5642-MHDQT,Female,0,Yes,Yes,53,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),19.85,1039.45,No +3088-FVYWK,Male,0,Yes,Yes,53,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.55,1336.1,No +3276-HDUEG,Female,0,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,75.05,75.05,Yes +9092-GDZKO,Male,0,No,No,22,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),24.85,493.4,No +0823-HSCDJ,Male,1,No,No,52,No,No phone service,DSL,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,49.15,2550.9,Yes +3729-OWRVL,Male,1,No,No,65,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,110.35,7246.15,No +2324-AALNO,Female,0,No,No,48,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),24.55,1203.95,No +0822-GAVAP,Female,0,No,No,2,No,No phone service,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,34.7,62.25,Yes +5760-IFJOZ,Male,0,No,No,3,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,No,Mailed check,107.95,313.6,No +2826-UWHIS,Male,0,Yes,No,45,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,No,Bank transfer (automatic),81.4,3775.85,No +1448-PWKYE,Male,0,Yes,Yes,1,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,80,80,Yes +7501-IWUNG,Female,0,Yes,Yes,61,Yes,No,DSL,No,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),73.8,4616.05,No +4957-TREIR,Male,0,No,No,3,Yes,No,DSL,Yes,No,No,Yes,Yes,No,Month-to-month,Yes,Credit card (automatic),64.4,195.65,No +7251-LJBQN,Female,1,No,No,40,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),103.75,4188.4,No +8040-MNRTF,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Mailed check,71.1,71.1,No +1536-HBSWP,Female,0,No,No,1,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,49.9,49.9,No +5313-FPXWG,Male,0,No,No,51,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),24.6,1266.4,No +0067-DKWBL,Male,1,No,No,2,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,49.25,91.1,Yes +0946-FKYTX,Male,0,No,No,52,No,No phone service,DSL,No,Yes,No,No,No,No,One year,No,Mailed check,30.1,1623.4,No +5076-YVXCM,Male,0,No,No,51,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Bank transfer (automatic),83.4,4149.45,No +8262-COGGB,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.45,20.45,No +6663-JOCQO,Male,0,Yes,Yes,31,Yes,Yes,DSL,Yes,Yes,No,Yes,No,Yes,One year,Yes,Bank transfer (automatic),75.25,2344.5,No +9620-QJREV,Male,0,No,Yes,47,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),20.55,1013.05,No +2276-YDAVZ,Female,0,No,No,3,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),75.1,270.7,Yes +2682-KEVRP,Female,1,No,No,22,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,20.05,417,No +2480-JZOSN,Female,0,Yes,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.65,20.65,No +0078-XZMHT,Male,0,Yes,No,72,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),85.15,6316.2,No +5896-NPFWW,Male,0,Yes,Yes,3,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,50.15,168.15,Yes +9978-HYCIN,Male,1,Yes,Yes,47,Yes,No,Fiber optic,No,Yes,No,No,Yes,No,One year,Yes,Bank transfer (automatic),84.95,4018.05,No +8338-QIUNR,Male,0,Yes,Yes,72,Yes,Yes,DSL,Yes,No,Yes,Yes,No,No,Two year,Yes,Credit card (automatic),66.5,4811.6,No +1525-LNLOJ,Male,0,Yes,Yes,66,Yes,Yes,DSL,No,No,Yes,No,Yes,No,Two year,Yes,Bank transfer (automatic),63.3,4189.7,No +9450-TRJUU,Male,0,No,No,35,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,No,Electronic check,83.15,2848.45,No +1766-GKNMI,Male,0,No,No,29,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,84.9,2516.2,No +6942-LBFDP,Female,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.55,33.6,No +1456-TWCGB,Male,0,No,No,4,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,No,Mailed check,49.25,208.45,No +7133-VBDCG,Female,0,No,No,25,Yes,No,Fiber optic,Yes,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),79.85,2015.35,Yes +7596-ZYWBB,Female,0,No,No,65,Yes,No,DSL,Yes,Yes,No,Yes,No,No,Two year,Yes,Mailed check,59.6,3739.8,No +8329-UTMVM,Male,1,No,No,27,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),104.65,2964,No +3014-WJKSM,Male,0,Yes,No,29,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),75.3,2263.4,No +3347-YJZZE,Male,0,Yes,Yes,29,Yes,Yes,DSL,No,Yes,Yes,No,Yes,Yes,Month-to-month,No,Credit card (automatic),80.1,2211.8,No +1029-QFBEN,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.55,19.55,Yes +7929-DMBCV,Female,0,Yes,No,20,Yes,No,Fiber optic,No,No,Yes,Yes,No,No,Month-to-month,Yes,Mailed check,81,1683.7,No +9661-JALZV,Female,0,No,No,58,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),24.7,1519,No +5433-KYGHE,Female,0,No,Yes,14,Yes,Yes,Fiber optic,Yes,No,No,Yes,No,No,Month-to-month,Yes,Mailed check,86,1164.05,No +4312-KFRXN,Male,0,Yes,No,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.4,1710.9,No +5575-TPIZQ,Male,0,No,No,46,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),89.15,4245.55,No +0114-IGABW,Female,0,Yes,No,71,No,No phone service,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),58.25,4145.9,No +9944-AEXBM,Male,0,No,No,32,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),85.65,2664.3,No +1853-ARAAQ,Female,0,No,No,26,No,No phone service,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),50.35,1277.5,No +6952-OMNWB,Male,1,Yes,No,68,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),80.35,5589.3,No +4697-LUPSU,Male,0,Yes,Yes,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.2,34.75,No +8434-VGEQQ,Male,0,Yes,Yes,61,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.55,1305.95,No +4952-YSOGZ,Female,0,Yes,Yes,4,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,85.95,381.3,Yes +1589-AGTLK,Male,0,No,No,3,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,45.35,141.5,Yes +5244-IRFIH,Male,1,Yes,No,33,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.5,3105.55,Yes +6549-YMFAW,Male,1,Yes,No,9,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,21.25,204.55,No +4950-HKQTE,Female,0,No,No,22,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,26.25,605.9,No +6786-OBWQR,Female,0,Yes,Yes,5,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,80.85,356.1,No +2684-EIWEO,Female,1,No,No,30,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,No,Month-to-month,No,Credit card (automatic),91.7,2758.15,Yes +2753-JMMCV,Male,0,No,No,65,Yes,Yes,DSL,No,Yes,Yes,Yes,No,Yes,Two year,Yes,Credit card (automatic),74.2,4805.65,No +6439-GTPCA,Female,0,No,No,45,Yes,Yes,Fiber optic,No,No,Yes,Yes,No,No,Month-to-month,Yes,Electronic check,87.25,3941.7,Yes +6621-YOBKI,Male,0,No,No,5,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.35,92.75,No +1216-JWVUX,Male,0,Yes,Yes,25,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,75.5,1901.05,No +7564-GHCVB,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Two year,No,Bank transfer (automatic),79.05,5730.7,No +1173-NOEYG,Female,0,Yes,No,27,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,No,Bank transfer (automatic),90.15,2423.4,No +7595-EHCDL,Male,0,Yes,Yes,32,No,No phone service,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,No,Credit card (automatic),50.6,1653.45,No +6647-ZEDXT,Female,0,No,No,30,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,No,Credit card (automatic),110.45,3327.05,No +2521-NPUZR,Male,0,Yes,No,70,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,No,Yes,Two year,No,Credit card (automatic),101,7085.5,No +1307-TVUFB,Male,1,No,No,42,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),79.35,3344.1,No +7503-MIOGA,Female,1,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),89.85,6697.35,No +4381-MHQDC,Female,0,No,No,47,Yes,Yes,DSL,Yes,No,Yes,Yes,No,No,Two year,Yes,Mailed check,65,2879.9,No +6923-JHPMP,Female,0,No,No,2,Yes,No,Fiber optic,Yes,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,80.45,137.1,No +5138-WVKYJ,Male,0,No,No,10,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,98.55,1008.55,Yes +4018-PPNDW,Female,0,Yes,Yes,61,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,24.1,1551.6,No +1635-FJFCC,Female,0,No,No,5,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),44.05,202.15,No +2499-AJYUA,Female,1,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),110.8,7882.25,No +6919-ELBGL,Male,1,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),114.95,8196.4,No +3966-HRMZA,Female,1,No,No,3,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,No,Mailed check,75.05,202.9,No +6425-JWTDV,Male,0,Yes,No,48,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.25,855.1,No +8405-IGQFX,Female,0,No,No,63,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,No,One year,Yes,Credit card (automatic),90.05,5817,No +8224-IVVPA,Female,0,No,No,27,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,56.7,1652.95,No +9477-LGWQI,Male,0,Yes,Yes,70,Yes,No,DSL,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Credit card (automatic),80.15,5600.15,No +1410-RSCMR,Male,0,Yes,Yes,7,Yes,No,DSL,Yes,No,Yes,Yes,No,Yes,Month-to-month,Yes,Credit card (automatic),71.35,515.75,No +3115-CZMZD,Male,0,No,Yes,0,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.25, ,No +0139-IVFJG,Female,0,Yes,No,2,Yes,No,Fiber optic,Yes,Yes,No,No,Yes,No,Month-to-month,No,Electronic check,90.35,190.5,No +6683-VLCTZ,Male,1,No,No,20,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,98.55,1842.8,Yes +5730-DBDSI,Male,0,No,No,66,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.7,1253.8,No +0030-FNXPP,Female,0,No,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.85,57.2,No +2189-WWOEW,Female,0,No,Yes,15,Yes,No,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),85.9,1269.55,Yes +5684-FJVYR,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,No,No,Two year,Yes,Bank transfer (automatic),90.35,6563.4,No +4013-GUXND,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.8,20.8,No +1894-IGFSG,Female,0,No,No,22,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,89.25,1907.85,Yes +7379-POKDZ,Male,0,Yes,No,3,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.3,208.85,Yes +1266-NZYUI,Female,0,Yes,Yes,72,Yes,Yes,DSL,Yes,No,Yes,Yes,No,No,Two year,No,Bank transfer (automatic),66.85,4758.8,No +7969-FFOWG,Male,0,Yes,Yes,65,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.9,1292.6,No +4718-DHSMV,Female,0,No,No,11,No,No phone service,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Mailed check,35.8,363.15,No +5175-WLYXL,Male,0,No,No,22,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,78.85,1600.25,No +7817-OMJNA,Male,0,No,No,14,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),20.4,275.7,No +8728-SKJLR,Male,0,No,No,41,Yes,No,Fiber optic,No,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,74.25,3089.1,No +3137-NYQQI,Male,0,Yes,No,17,Yes,No,DSL,Yes,Yes,No,No,No,Yes,One year,No,Mailed check,64.8,1175.6,No +7706-DZNKK,Male,0,No,No,11,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),20.45,237.3,No +0236-HFWSV,Male,0,No,No,15,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,93.35,1444.65,Yes +3900-AQPHZ,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.9,19.9,Yes +5842-POCOP,Female,0,Yes,No,5,Yes,No,Fiber optic,Yes,No,Yes,No,No,Yes,Month-to-month,Yes,Mailed check,88.9,454.15,Yes +2037-XJFUP,Male,0,Yes,No,33,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,95.8,3036.75,Yes +8823-RLPWL,Female,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Credit card (automatic),110.65,8065.65,No +9505-SQFSW,Female,0,Yes,Yes,3,No,No phone service,DSL,No,Yes,No,No,No,Yes,Month-to-month,No,Mailed check,40.3,92.5,No +7314-OXENN,Male,0,No,No,2,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,82,184.65,Yes +3758-CKOQL,Female,0,Yes,No,59,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,Yes,One year,Yes,Credit card (automatic),107,6152.3,No +0322-CHQRU,Male,0,No,No,2,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,45.35,89.5,Yes +5676-CFLYY,Male,0,Yes,Yes,71,Yes,No,DSL,No,Yes,No,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),73.35,5154.5,No +7521-AFHAB,Female,0,Yes,Yes,5,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,44.8,220.45,No +0285-INHLN,Male,0,Yes,Yes,27,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),54.75,1510.3,No +4678-DVQEO,Female,0,No,No,1,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,52.2,52.2,Yes +5125-CNDSP,Male,0,No,Yes,63,No,No phone service,DSL,Yes,Yes,No,Yes,No,No,One year,Yes,Bank transfer (automatic),40.6,2588.95,No +0691-IFBQW,Female,1,No,No,46,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,110,4874.8,Yes +4992-LTJNE,Male,0,Yes,Yes,72,Yes,Yes,DSL,Yes,No,No,No,No,No,Two year,No,Bank transfer (automatic),55.3,3983.6,No +2202-OUTMO,Female,0,Yes,No,34,Yes,Yes,DSL,Yes,No,No,Yes,No,No,Month-to-month,Yes,Bank transfer (automatic),60.85,2003.6,No +0810-BDHAW,Female,0,Yes,Yes,24,Yes,Yes,DSL,Yes,Yes,No,No,Yes,Yes,One year,No,Electronic check,78.4,1832.4,No +0229-LFJAF,Male,0,No,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,No,Two year,No,Bank transfer (automatic),69.65,4908.25,No +7131-ZQZNK,Female,0,Yes,Yes,60,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),59.85,3590.2,No +3442-ZHHCC,Male,0,No,No,68,Yes,Yes,DSL,Yes,Yes,Yes,No,No,Yes,One year,Yes,Credit card (automatic),76.9,5023,No +5726-CVNYA,Female,0,Yes,Yes,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,19.85,146.6,No +9871-ELEYA,Female,0,No,Yes,34,Yes,No,DSL,Yes,No,Yes,Yes,Yes,No,Two year,No,Credit card (automatic),67.65,2339.3,No +4257-GAESD,Female,0,No,No,6,No,No phone service,DSL,No,No,No,No,Yes,Yes,Month-to-month,No,Credit card (automatic),45,298.7,No +5173-WXOQV,Male,0,Yes,No,2,Yes,No,DSL,No,Yes,No,Yes,No,Yes,Month-to-month,Yes,Mailed check,64.2,143.65,No +2040-OBMLJ,Male,0,No,No,31,Yes,Yes,Fiber optic,No,No,No,Yes,No,No,One year,No,Credit card (automatic),81.7,2548.65,No +6286-ZHAOK,Female,0,Yes,Yes,20,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Bank transfer (automatic),25.55,507.4,No +3807-XHCJH,Female,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,20,20,No +3009-JWMPU,Male,0,No,No,62,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,96.75,6125.4,Yes +5671-RQRLP,Female,1,Yes,No,70,Yes,Yes,Fiber optic,No,No,No,No,No,No,Two year,Yes,Credit card (automatic),75.65,5411.4,No +1450-GALXR,Female,0,No,No,10,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,98.5,1058.25,Yes +8859-AXJZP,Male,0,Yes,Yes,39,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,23.8,903.8,No +3174-AKMAS,Female,0,Yes,No,46,Yes,No,DSL,No,Yes,No,Yes,Yes,No,Two year,Yes,Credit card (automatic),64.2,3009.5,No +3138-BKYAV,Male,0,No,No,6,Yes,No,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,85.35,489.45,Yes +9926-PJHDQ,Female,0,Yes,Yes,72,Yes,Yes,DSL,No,No,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),76.8,5468.45,No +7382-DFJTU,Male,0,No,No,18,Yes,No,DSL,No,No,Yes,Yes,No,No,Month-to-month,No,Credit card (automatic),55.2,1058.1,No +2798-NYLMZ,Male,0,Yes,No,71,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),108.55,7616,No +4289-DTDKW,Male,0,Yes,No,40,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,101.3,4113.1,Yes +1820-TQVEV,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.55,69.55,Yes +2239-JALAW,Male,0,No,No,58,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),103.25,6017.65,Yes +4853-RULSV,Male,0,No,No,70,Yes,Yes,Fiber optic,Yes,No,No,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),104,7250.15,Yes +8098-TDCBU,Female,0,Yes,No,42,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Electronic check,25.25,1108.2,No +3551-GAEGL,Male,0,Yes,Yes,34,No,No phone service,DSL,Yes,No,No,No,No,No,One year,No,Bank transfer (automatic),30.4,938.65,No +4785-NKHCX,Male,1,No,No,5,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),20.05,94.15,No +3196-NVXLZ,Female,0,No,No,25,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Mailed check,84.6,2088.05,No +6275-YDUVO,Female,0,No,No,2,Yes,No,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Mailed check,86.2,178.7,Yes +0036-IHMOT,Female,0,Yes,Yes,55,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),103.7,5656.75,No +0115-TFERT,Male,0,Yes,No,21,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,111.2,2317.1,Yes +4178-EGMON,Male,0,Yes,No,70,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,No,No,Two year,Yes,Credit card (automatic),88,5986.45,No +4220-TINQT,Female,0,Yes,No,61,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,106.35,6751.35,No +5318-YKDPV,Male,0,Yes,Yes,43,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),79.15,3566.6,No +7975-TZMLR,Male,0,No,No,47,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,103.1,4889.3,No +0295-QVKPB,Male,0,No,No,5,Yes,No,DSL,No,No,Yes,Yes,Yes,No,Month-to-month,Yes,Credit card (automatic),63.95,318.1,No +4335-BSMJS,Female,0,No,No,62,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),25.8,1563.95,No +2311-QYMUQ,Female,0,Yes,Yes,16,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Credit card (automatic),89.45,1430.25,Yes +3643-AHCFP,Male,1,Yes,No,7,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),95.6,644.35,Yes +9146-JRIOX,Female,0,Yes,Yes,14,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,25.55,372.45,No +3104-OWCGK,Male,0,Yes,Yes,60,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,No,One year,No,Electronic check,90.95,5453.4,Yes +5337-IIWKZ,Male,0,Yes,Yes,34,No,No phone service,DSL,No,No,Yes,Yes,Yes,No,Month-to-month,Yes,Electronic check,44.85,1442.6,No +9101-BWFSS,Female,0,Yes,No,50,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,One year,No,Electronic check,108.55,5610.7,Yes +9650-VBUOG,Male,0,Yes,Yes,38,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.05,963.95,No +3487-EARAT,Female,0,Yes,Yes,70,Yes,No,DSL,Yes,Yes,Yes,Yes,No,Yes,One year,No,Credit card (automatic),74.1,5222.3,No +2672-TGEFF,Female,0,Yes,Yes,37,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,88.8,3340.55,No +9231-ZJYAM,Female,1,No,No,4,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,78.85,292.8,Yes +4250-WAROZ,Male,1,Yes,Yes,60,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,93.25,5774.55,No +8184-WMOFI,Male,0,Yes,Yes,62,Yes,No,DSL,Yes,No,Yes,Yes,No,Yes,One year,No,Credit card (automatic),71.4,4487.3,No +6982-SSHFK,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,44.4,44.4,Yes +6092-QZVPP,Male,0,No,No,36,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),79.2,2854.95,No +4625-LAMOB,Male,0,No,No,44,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.4,905.55,No +0727-BMPLR,Female,1,No,No,55,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,100,5509.3,Yes +0392-BZIUW,Female,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,Two year,Yes,Credit card (automatic),105,7589.8,No +1038-ZAGBI,Female,0,Yes,Yes,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),19.8,229.6,Yes +6549-NNDYT,Female,0,No,No,13,No,No phone service,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),30.85,394.1,No +3027-ZTDHO,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,89.9,89.9,Yes +0422-OHQHQ,Female,0,Yes,Yes,15,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.55,295.95,No +6916-HIJSE,Female,0,No,No,65,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),84.85,5459.2,No +2316-ESMLS,Female,0,Yes,Yes,12,No,No phone service,DSL,Yes,No,No,Yes,No,No,One year,No,Credit card (automatic),33.15,444.75,No +9778-OGKQZ,Male,0,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),92,6782.15,No +7408-OFWXJ,Female,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),89.8,6510.45,No +6007-TCTST,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),115.8,8476.5,No +2252-NKNSI,Male,0,No,Yes,52,Yes,Yes,DSL,Yes,Yes,No,Yes,Yes,Yes,Two year,Yes,Mailed check,85.15,4461.85,No +8713-IGZSO,Male,0,No,No,2,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,24.85,62,No +7905-TVXTA,Female,0,No,No,5,Yes,No,DSL,Yes,No,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,64.35,352.65,No +7695-PKLCZ,Female,0,No,No,68,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.5,1424.9,No +2382-BCKQJ,Female,0,No,Yes,62,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,100.15,6413.65,Yes +8374-UULRV,Male,0,No,No,72,Yes,Yes,DSL,Yes,Yes,No,Yes,Yes,Yes,Two year,No,Credit card (automatic),86.05,6309.65,No +2207-NHRJK,Male,0,No,No,1,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,50.8,50.8,Yes +3224-DFQNQ,Female,0,Yes,No,66,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,No,No,One year,No,Electronic check,89,5898.6,No +5275-PMFUT,Male,0,Yes,Yes,72,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),64.8,4719.75,No +4795-UXVCJ,Male,0,No,No,26,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.8,457.3,No +9777-IQHWP,Male,0,Yes,Yes,64,Yes,Yes,Fiber optic,Yes,No,Yes,No,No,Yes,Two year,No,Bank transfer (automatic),93.4,5822.3,No +0947-MUGVO,Male,1,Yes,No,20,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,73.65,1463.5,Yes +9944-HKVVB,Female,0,No,No,3,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.1,307.4,Yes +4124-MMETB,Male,0,No,No,22,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),94.65,2104.55,Yes +3671-SHRSP,Male,0,Yes,No,4,Yes,No,Fiber optic,No,No,Yes,Yes,No,No,Month-to-month,Yes,Mailed check,80.6,319.15,Yes +0979-MOZQI,Male,0,Yes,No,62,No,No phone service,DSL,No,No,No,Yes,Yes,No,Two year,Yes,Bank transfer (automatic),39,2337.45,No +2732-ISEZX,Female,0,No,No,5,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.5,104.3,No +3313-QKNKB,Male,0,Yes,No,59,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,One year,No,Electronic check,85.55,5084.65,Yes +0323-XWWTN,Male,0,No,Yes,3,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,26.4,121.25,No +1937-OTUKY,Female,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,No,Two year,Yes,Bank transfer (automatic),98.2,7015.9,No +1573-LGXBA,Male,0,Yes,Yes,57,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),97.55,5598,No +1764-VUUMT,Male,0,No,Yes,66,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.95,1269.1,No +5073-WXOYN,Female,0,No,No,60,No,No phone service,DSL,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,50.8,3027.4,Yes +4713-ZBURT,Male,0,No,Yes,45,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Two year,No,Bank transfer (automatic),99.7,4634.35,No +3050-GBUSH,Female,0,No,No,3,No,No phone service,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),34.8,113.95,No +0207-MDKNV,Female,0,No,No,15,Yes,No,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Month-to-month,No,Electronic check,105.1,1582.75,Yes +7876-AEHIG,Female,0,No,Yes,51,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,Yes,One year,No,Bank transfer (automatic),60.15,3077,No +7945-HLKEA,Female,0,No,No,60,Yes,Yes,DSL,Yes,No,Yes,Yes,No,No,One year,No,Electronic check,64.75,4039.5,No +9342-VNIMQ,Male,0,No,No,33,Yes,Yes,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),54.65,1665.2,No +9851-KIELU,Male,0,No,No,10,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,110.1,1043.3,Yes +3523-BRGUW,Male,1,No,No,26,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.3,504.2,No +3908-BLSYF,Female,0,No,No,6,Yes,No,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,No,Electronic check,83.9,497.55,Yes +3199-NPKCN,Female,0,Yes,No,67,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,111.25,7511.65,No +5170-PTRKA,Female,0,Yes,Yes,49,No,No phone service,DSL,Yes,No,No,Yes,No,No,One year,Yes,Credit card (automatic),35.8,1782,No +4661-NJEUX,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.05,20.05,No +2123-AGEEN,Female,1,No,No,7,Yes,No,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,84.35,609.65,No +1258-YMZNM,Female,1,No,No,27,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),110.5,2857.6,No +0048-LUMLS,Male,0,Yes,Yes,37,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,One year,No,Credit card (automatic),91.2,3247.55,No +7549-MYGPK,Female,0,Yes,Yes,63,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,100.55,6215.35,Yes +5898-IGSLP,Male,0,Yes,Yes,31,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,No,No,Month-to-month,No,Electronic check,89.3,2823,No +3804-RVTGV,Male,0,Yes,Yes,50,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),103.85,5017.9,Yes +6259-WJQLC,Male,1,No,No,32,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),81.1,2619.25,No +9227-LUNBG,Female,0,No,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,24.6,24.6,Yes +7997-EASSD,Female,0,Yes,No,63,Yes,Yes,Fiber optic,No,No,No,Yes,No,No,One year,Yes,Credit card (automatic),81.2,4965.1,No +0730-KOAVE,Male,0,No,No,30,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),94.3,2679.7,No +8975-SKGRX,Male,0,Yes,No,71,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),116.1,8310.55,No +0678-RLHVP,Female,0,No,No,53,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Two year,No,Electronic check,105.55,5682.25,No +4315-MURBD,Female,0,No,No,12,Yes,No,Fiber optic,Yes,No,No,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),98.9,1120.95,Yes +2267-FPIMA,Male,0,Yes,No,50,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),94.4,4914.9,No +1051-GEJLJ,Female,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.5,27.55,No +9734-YWGEX,Female,0,No,No,9,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,No,Credit card (automatic),98.3,923.5,Yes +2719-BDAQO,Male,0,No,No,17,Yes,No,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,93.85,1625.65,Yes +5285-MVEHD,Female,0,Yes,No,56,Yes,No,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),105.6,6068.65,No +0379-DJQHR,Male,0,Yes,Yes,67,Yes,No,DSL,Yes,Yes,Yes,No,Yes,Yes,Two year,No,Credit card (automatic),81.35,5398.6,No +0781-LKXBR,Male,1,No,No,9,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.5,918.6,Yes +5543-QDCRY,Male,0,No,No,4,Yes,No,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,56.4,234.85,No +0297-RBCSG,Male,0,No,No,19,Yes,No,DSL,No,Yes,No,Yes,No,Yes,One year,Yes,Bank transfer (automatic),65.35,1231.85,No +4694-PHWFW,Female,0,No,Yes,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.95,170.9,No +0835-JKADZ,Female,0,No,No,71,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,111.25,7984.15,No +1907-UBQFC,Male,1,No,No,10,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,72.85,688.65,Yes +7508-SMHXL,Female,1,No,No,15,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,No,Credit card (automatic),89,1288.3,No +3865-YIOTT,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),106.1,7848.5,No +5993-BQHEA,Male,0,No,No,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),20.05,267,No +6024-RUGGH,Male,0,Yes,Yes,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),25.2,1798.9,No +6513-EECDB,Male,1,Yes,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,73.55,73.55,Yes +3956-CJUST,Female,1,No,No,23,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),75.4,1643.55,No +4079-WWQQQ,Male,0,No,No,72,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),65.55,4807.45,No +6103-BOCOU,Female,0,No,No,26,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,80.7,2193,No +5149-TGWDZ,Female,0,No,No,21,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Mailed check,104.55,2239.4,No +7471-WNSUF,Male,0,Yes,No,60,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),24.15,1505.9,No +8942-DBMHZ,Male,0,No,No,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.45,255.35,No +4301-VVZKA,Male,0,Yes,No,16,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.4,1189.4,No +9199-PWQVC,Female,0,Yes,No,63,Yes,Yes,DSL,Yes,Yes,No,No,Yes,Yes,One year,Yes,Credit card (automatic),79.7,4786.15,No +4824-GUCBY,Female,1,No,No,22,Yes,No,Fiber optic,Yes,Yes,No,No,No,No,Month-to-month,No,Electronic check,81.7,1820.9,No +5393-HJZSM,Female,0,Yes,Yes,32,Yes,No,DSL,Yes,Yes,Yes,Yes,No,Yes,Month-to-month,No,Bank transfer (automatic),76.3,2404.15,No +7074-IEVOJ,Female,1,No,No,3,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,79.4,205.05,Yes +9625-QSTYE,Female,0,No,No,13,Yes,No,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,81.15,952.3,Yes +0862-PRCBS,Female,0,Yes,Yes,68,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),103.75,7039.45,No +8812-ZRHFP,Female,0,Yes,Yes,30,Yes,No,Fiber optic,No,No,Yes,No,No,Yes,One year,No,Electronic check,86.45,2538.05,No +5146-CBVOE,Female,0,No,No,16,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,No,Bank transfer (automatic),75.1,1212.85,No +0454-OKRCT,Male,0,No,No,33,Yes,No,Fiber optic,No,Yes,No,Yes,No,No,Two year,No,Bank transfer (automatic),80.6,2651.1,No +5787-KXGIY,Male,0,Yes,No,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.3,1304.8,No +4750-ZRXIU,Female,1,No,No,4,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,84.6,360.1,Yes +4198-VFOEA,Female,0,No,No,12,No,No phone service,DSL,Yes,No,No,Yes,No,No,One year,Yes,Mailed check,33.6,435.45,No +6630-UJZMY,Female,1,Yes,No,4,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,83.25,308.05,No +5709-LVOEQ,Female,0,Yes,Yes,0,Yes,No,DSL,Yes,Yes,Yes,No,Yes,Yes,Two year,No,Mailed check,80.85, ,No +6400-BWQKW,Female,0,No,No,6,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,79.05,434.5,Yes +2692-AQCPF,Female,0,Yes,No,65,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),108.05,7118.9,No +0347-UBKUZ,Female,0,No,No,15,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.9,320.45,No +0835-DUUIQ,Female,0,No,Yes,24,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),21.05,531.55,No +0811-GSDTP,Female,0,No,Yes,13,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,30.15,382.2,No +7567-ECMCM,Male,0,No,No,24,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),79.85,2001,No +6115-ZTBFQ,Female,0,Yes,No,72,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),65.5,4919.7,No +6353-BRMMA,Female,0,Yes,Yes,54,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),104.1,5645.8,No +6680-WKXRZ,Female,0,No,No,3,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),74.4,215.8,Yes +6231-WFGFH,Male,0,Yes,Yes,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.5,77.6,No +9904-EHEVJ,Female,1,Yes,Yes,32,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Mailed check,91.35,2896.55,No +7028-DVOIQ,Male,1,No,No,35,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.05,3395.8,Yes +6169-PPETC,Male,0,Yes,Yes,35,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.5,759.35,No +4208-UFFGW,Male,1,No,No,2,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,44.95,85.15,Yes +8584-KMVXD,Female,0,No,No,8,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,75.6,535.55,No +8467-WYNSR,Male,0,No,No,22,Yes,No,DSL,Yes,No,No,Yes,No,No,Month-to-month,No,Mailed check,55.1,1253.15,No +0851-DFJKB,Female,0,No,No,15,Yes,No,DSL,Yes,No,Yes,Yes,No,No,Month-to-month,No,Electronic check,58.95,955.15,No +5382-SOYZL,Male,0,No,No,22,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.1,2162.6,No +9448-REEVD,Male,0,Yes,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Credit card (automatic),44.7,44.7,Yes +3261-CQXOL,Female,0,Yes,Yes,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),25.45,1813.35,No +8388-FYNPZ,Male,0,No,No,4,Yes,No,DSL,Yes,No,Yes,No,No,No,Month-to-month,No,Electronic check,56.75,245.15,No +4002-BQWPQ,Male,0,No,No,25,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,Month-to-month,No,Bank transfer (automatic),81.75,2028.8,No +5651-YLPRD,Female,0,Yes,Yes,32,Yes,No,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,86.1,2723.75,No +2826-DXLQO,Male,1,Yes,No,7,No,No phone service,DSL,Yes,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),29.8,220.45,No +4378-BZYFP,Male,0,No,No,17,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,20.5,365.8,No +9489-UTFKA,Male,1,Yes,No,8,Yes,No,DSL,Yes,No,No,No,Yes,No,Month-to-month,No,Bank transfer (automatic),60.9,551.95,No +4849-PYRLQ,Female,1,No,No,56,Yes,Yes,DSL,Yes,No,Yes,Yes,No,Yes,Two year,No,Bank transfer (automatic),73.25,4054.2,No +9117-SHLZX,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,45.7,45.7,Yes +9889-TMAHG,Male,1,No,No,8,Yes,No,Fiber optic,Yes,No,No,Yes,Yes,Yes,Month-to-month,No,Credit card (automatic),100.3,832.35,Yes +4541-RMRLG,Male,0,No,No,7,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,19.25,112.3,Yes +7764-BDPEE,Male,0,No,Yes,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.85,60.65,No +3429-IFLEM,Female,0,No,No,71,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,No,Credit card (automatic),77.35,5550.1,No +3158-MOERK,Female,0,No,No,2,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,96,174.8,Yes +7294-TMAOP,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,90.55,90.55,Yes +5002-GCQFH,Male,0,Yes,No,49,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),93.85,4733.1,No +0556-FJEGU,Male,0,No,No,58,Yes,No,DSL,No,Yes,Yes,Yes,Yes,No,Two year,No,Bank transfer (automatic),70.1,4048.95,No +8919-FYFQZ,Male,1,Yes,No,44,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,30.35,1359.7,Yes +0604-THJFP,Female,0,Yes,Yes,59,Yes,No,DSL,No,Yes,No,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),75.95,4542.35,No +2834-JRTUA,Male,0,No,No,71,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,108.05,7532.15,Yes +5875-YPQFJ,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.9,69.9,Yes +5879-SESNB,Female,0,No,No,11,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,75.25,888.65,No +6646-QVXLR,Male,1,Yes,No,62,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,103.75,6383.35,Yes +6461-PPAXN,Female,0,Yes,Yes,35,Yes,No,DSL,Yes,No,No,Yes,No,No,One year,Yes,Bank transfer (automatic),54.95,1916,No +3318-ISQFQ,Female,0,No,No,20,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Bank transfer (automatic),19.5,413,No +1106-HRLKZ,Male,0,Yes,Yes,40,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.6,808.95,No +2483-XSSMZ,Female,0,No,No,39,Yes,No,DSL,Yes,No,No,No,No,No,One year,Yes,Electronic check,47.85,1886.4,No +8603-IJWDN,Male,0,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,86.6,86.6,Yes +8165-ZJRNM,Female,0,Yes,Yes,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),23.75,1679.25,No +9369-XFEHK,Female,1,Yes,No,33,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),80.6,2656.5,Yes +2604-XVDAM,Female,0,No,No,12,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),43.8,540.95,No +3717-OFRTN,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),19.75,19.75,No +9046-JBFWA,Male,0,No,Yes,27,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.15,537.35,No +3280-NMUVX,Male,0,Yes,Yes,34,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.6,678.8,No +1206-EHBDD,Female,0,Yes,No,56,Yes,No,Fiber optic,Yes,No,Yes,No,No,No,Two year,No,Bank transfer (automatic),80.3,4513.65,No +8361-LBRDI,Female,0,No,No,58,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),24.35,1423.85,No +4883-KCPZJ,Female,0,Yes,Yes,22,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.25,555.4,No +9108-EQPNQ,Female,0,Yes,Yes,10,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),26.1,225.55,No +7277-KAMWT,Male,0,No,No,13,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20,268.45,No +3842-IYKUE,Female,0,No,No,35,Yes,Yes,Fiber optic,No,Yes,No,Yes,No,No,Month-to-month,No,Credit card (automatic),85.3,2917.5,Yes +6641-XRPSU,Female,0,No,No,34,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),70,2416.1,Yes +1374-DMZUI,Female,1,No,No,4,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.3,424.45,Yes +2545-LXYVJ,Male,0,Yes,No,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.7,1492.1,No +3234-VKACU,Male,0,No,No,2,Yes,No,DSL,No,No,No,Yes,Yes,Yes,Month-to-month,No,Electronic check,70.3,132.4,No +8357-EQXFO,Female,0,No,No,7,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.35,660.9,Yes +1989-PRJHP,Male,1,Yes,No,27,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.5,1893.95,Yes +8120-JDCAM,Male,0,Yes,Yes,4,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,69.55,284.9,No +8917-FAEMR,Female,0,No,No,37,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.85,784.25,No +7047-YXDMZ,Male,0,No,No,21,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20,417.7,No +2858-EIMXH,Female,1,Yes,No,53,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,One year,Yes,Credit card (automatic),95.85,5016.25,No +9524-EGPJC,Female,0,No,No,18,Yes,Yes,Fiber optic,No,No,No,Yes,No,Yes,Month-to-month,Yes,Electronic check,90.1,1612.75,Yes +6993-OHLXR,Female,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,68.95,119.75,Yes +8818-XYFCQ,Male,0,Yes,Yes,32,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),99.55,3204.65,Yes +6419-ZTTLE,Male,1,Yes,No,23,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Electronic check,20.75,485.2,No +0929-HYQEW,Male,0,No,No,3,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Mailed check,50.15,160.85,No +6614-YOLAC,Female,0,Yes,Yes,71,No,No phone service,DSL,Yes,Yes,No,Yes,Yes,Yes,Two year,No,Mailed check,58.65,4145.25,No +7426-RHZGU,Male,0,No,No,9,Yes,No,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),95.9,827.45,No +4065-JJAVA,Female,0,No,No,1,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,49.5,49.5,No +4695-VADHF,Male,0,Yes,Yes,18,Yes,No,DSL,No,No,Yes,No,No,Yes,Month-to-month,No,Electronic check,57.45,990.85,Yes +3863-IUBJR,Male,0,Yes,Yes,12,Yes,No,DSL,No,No,No,No,No,Yes,One year,No,Credit card (automatic),53.65,696.35,Yes +7649-SIJJF,Male,0,Yes,No,71,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,Yes,Mailed check,80.1,5585.4,No +9361-YNQWJ,Female,0,No,No,64,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),24.4,1601.2,No +3748-FVMZZ,Male,0,No,No,4,No,No phone service,DSL,No,No,No,Yes,No,Yes,Month-to-month,Yes,Electronic check,40.05,162.45,No +9391-TTOYH,Female,0,No,No,23,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.5,470.2,No +1452-XRSJV,Female,0,Yes,Yes,39,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,No,Credit card (automatic),51.05,2066,No +3422-WJOYD,Male,0,Yes,No,28,Yes,No,DSL,Yes,No,No,Yes,No,No,One year,No,Mailed check,54.35,1426.45,No +8242-SOQUO,Female,1,No,No,5,Yes,No,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,84.7,392.5,No +7460-ITWWP,Female,1,Yes,No,45,Yes,No,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,86.1,3861.45,No +7147-AYBAA,Male,0,No,No,37,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,70.35,2552.9,No +7868-TMWMZ,Female,1,Yes,No,60,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),110,6668.35,No +4822-RVYBB,Male,1,No,No,8,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.6,819.4,Yes +6732-FZUGP,Female,0,No,No,47,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,No,One year,No,Credit card (automatic),94.9,4615.25,No +8436-BJUMM,Male,0,Yes,Yes,26,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,83.75,2070.6,Yes +4184-TJFAN,Female,1,Yes,Yes,3,Yes,No,Fiber optic,Yes,No,No,Yes,Yes,No,Month-to-month,Yes,Mailed check,88.3,273.75,Yes +8329-GWVPJ,Female,0,Yes,Yes,50,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),69.75,3557.7,No +1352-VHKAJ,Male,0,Yes,Yes,27,Yes,Yes,DSL,No,No,No,Yes,Yes,Yes,Month-to-month,No,Bank transfer (automatic),71.6,1957.1,No +4145-UQXUQ,Female,1,No,No,8,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,92.1,729.95,Yes +2632-TACXW,Female,0,Yes,No,62,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),23.65,1416.75,No +8146-QQKZH,Female,0,Yes,No,71,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),81.85,5924.4,No +1767-CJKBA,Male,0,No,No,66,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.1,1697.7,No +6445-TNRXS,Male,0,Yes,Yes,68,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),114.7,7849.85,No +4581-LNWUM,Female,0,No,No,13,No,No phone service,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,No,Electronic check,49.15,649.4,No +4869-EPIUS,Male,0,Yes,No,56,Yes,No,Fiber optic,No,No,No,No,No,Yes,One year,Yes,Electronic check,80.9,4557.5,No +9948-YPTDG,Male,0,Yes,No,38,Yes,No,Fiber optic,Yes,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,79.45,3013.05,Yes +1236-WFCDV,Male,1,No,No,14,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Credit card (automatic),90.45,1266.1,Yes +1915-OAKWD,Female,0,No,Yes,16,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),19.3,360.35,No +7296-PIXQY,Female,0,Yes,Yes,14,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,70.2,1046.5,No +4883-QICIH,Male,0,Yes,Yes,32,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),69.75,2347.9,Yes +3354-OADJP,Female,0,No,No,8,Yes,No,DSL,Yes,No,No,Yes,No,No,One year,No,Bank transfer (automatic),54.25,447.75,No +3524-WQDSG,Female,0,Yes,Yes,43,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),99.3,4209.95,No +0810-DHDBD,Female,0,No,No,52,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,No,One year,No,Credit card (automatic),74,3877.65,No +4026-SKKHW,Male,0,No,No,3,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Mailed check,50.25,152.3,No +2829-HYVZP,Male,0,No,No,29,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,19.8,572.2,No +8329-IBCTI,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.65,19.65,Yes +1271-SJBGZ,Male,1,No,No,12,No,No phone service,DSL,No,No,Yes,Yes,No,Yes,Month-to-month,Yes,Electronic check,43.65,526.95,Yes +3845-JHAMY,Female,0,Yes,Yes,16,No,No phone service,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),35.5,552.7,No +7013-PSXHK,Female,0,No,No,40,Yes,Yes,DSL,No,No,Yes,Yes,Yes,Yes,One year,Yes,Mailed check,80.75,3208.65,No +5669-SRAIP,Female,0,No,No,5,No,No phone service,DSL,No,No,Yes,No,No,Yes,Month-to-month,No,Electronic check,39.5,210.75,Yes +5981-ITEMU,Male,0,Yes,No,40,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),97.1,3706.95,Yes +3486-NPGST,Female,0,No,No,36,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.55,620.75,No +6941-PMGEP,Female,0,No,No,5,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,80,412.5,Yes +1624-WOIWJ,Female,0,No,No,10,Yes,No,Fiber optic,Yes,No,No,No,Yes,No,Month-to-month,Yes,Mailed check,84.7,832.05,Yes +2074-GKOWZ,Male,0,Yes,Yes,2,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),89.55,185.55,Yes +0376-YMCJC,Male,0,No,No,23,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,90.6,1943.2,Yes +6100-FJZDG,Male,0,Yes,Yes,26,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),20.05,505.9,No +4829-ZLJTK,Female,1,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Electronic check,112.4,8046.85,No +1730-VFMWO,Female,0,Yes,No,34,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),50.2,1815.3,No +7143-BQIBA,Male,0,No,No,10,Yes,No,DSL,Yes,No,No,Yes,Yes,No,Month-to-month,No,Bank transfer (automatic),62.25,612.95,No +3800-LYTRK,Female,0,No,No,14,Yes,No,DSL,Yes,No,No,Yes,No,No,One year,No,Mailed check,55.7,795.15,No +0634-SZPQA,Female,0,No,No,23,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),90.05,2169.8,Yes +9646-NMHXE,Male,0,Yes,No,47,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.65,973.1,No +7030-NJVDP,Male,0,Yes,No,24,Yes,No,Fiber optic,Yes,No,No,Yes,No,Yes,Month-to-month,Yes,Electronic check,89.25,2210.2,No +5536-RTPWK,Male,0,Yes,No,49,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),99.05,4853.75,Yes +8883-GRDWQ,Male,1,No,No,20,Yes,No,DSL,Yes,No,No,Yes,No,No,One year,No,Mailed check,54,1055.9,No +6166-ILMNY,Female,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),69.75,144.55,Yes +3097-NNSPB,Female,0,No,No,2,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),49.05,91.1,Yes +7771-ZONAT,Male,0,No,No,22,No,No phone service,DSL,No,No,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),56.75,1304.85,No +0655-RBDUG,Male,0,No,No,7,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),98.05,713,Yes +2111-DWYHN,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,21.1,21.1,No +4194-WHFCB,Female,0,Yes,Yes,59,Yes,Yes,Fiber optic,No,Yes,No,Yes,No,Yes,Month-to-month,Yes,Bank transfer (automatic),96.65,5580.8,No +4121-AGSIN,Female,0,Yes,Yes,58,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Credit card (automatic),24.5,1497.9,No +4361-BKAXE,Female,0,No,No,41,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),114.5,4527.45,Yes +9845-PEEKO,Female,1,No,No,59,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Two year,Yes,Credit card (automatic),79.2,4590.35,No +0455-XFASS,Female,0,Yes,Yes,3,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.55,200.2,No +0301-KOBTQ,Male,0,No,No,32,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),20.05,614.45,No +1751-NCDLI,Male,1,Yes,No,46,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,98.85,4564.9,No +4367-NUYAO,Male,0,Yes,Yes,0,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.75, ,No +9878-TNQGW,Male,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,80.95,171.15,Yes +9170-ARBTB,Female,0,Yes,Yes,52,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.6,1012.4,No +4441-NIHPT,Female,1,No,No,13,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,74.3,940.35,Yes +8999-BOHSE,Female,1,No,No,11,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Bank transfer (automatic),89.7,1047.7,Yes +7241-AJHFS,Male,0,No,No,32,Yes,Yes,Fiber optic,Yes,No,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),87.65,2766.4,No +7029-RPUAV,Male,1,Yes,No,17,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),100.45,1622.45,Yes +4546-FOKWR,Female,0,No,No,16,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),74.75,1129.35,No +9036-CSKBW,Female,0,No,No,51,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,No,Bank transfer (automatic),107.45,5680.9,No +5832-TRLPB,Male,0,No,No,29,Yes,No,DSL,No,No,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),75.35,2243.9,No +8590-YFFQO,Male,0,Yes,No,70,Yes,No,DSL,Yes,Yes,Yes,Yes,No,No,Two year,No,Credit card (automatic),64.95,4523.25,No +8659-IOOPU,Female,0,Yes,Yes,71,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,No,Yes,Two year,No,Electronic check,100.45,7159.7,No +1338-CECEE,Male,0,Yes,Yes,41,Yes,Yes,DSL,No,Yes,Yes,No,Yes,No,One year,No,Bank transfer (automatic),68.5,2839.95,No +7439-DKZTW,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,80.55,80.55,No +4646-QZXTF,Female,0,Yes,No,7,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,Month-to-month,No,Bank transfer (automatic),81.25,580.1,No +4607-CHPCA,Male,0,Yes,Yes,25,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,One year,Yes,Electronic check,90.4,2178.6,Yes +9742-XOKTS,Male,0,Yes,Yes,67,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,No,No,One year,No,Electronic check,89.55,6038.55,No +6921-OZMFH,Male,0,Yes,Yes,5,Yes,Yes,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Mailed check,55.7,259.4,No +9578-FOMUK,Male,0,No,Yes,15,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,24.8,324.15,No +4712-UYOOI,Female,0,Yes,Yes,20,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,20,417.65,No +8824-RWFXJ,Male,0,Yes,Yes,3,Yes,No,DSL,No,Yes,Yes,No,No,No,Month-to-month,Yes,Mailed check,56.15,168.15,Yes +7722-CVFXN,Male,0,Yes,Yes,54,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,One year,Yes,Electronic check,105.2,5637.85,No +8717-VCTXJ,Male,0,No,No,42,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,19.55,839.4,No +7363-QTBIW,Female,0,Yes,No,9,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,79.75,769.1,No +4159-NAAIX,Female,0,No,No,63,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Two year,No,Bank transfer (automatic),97.45,6253,No +0971-QIFJK,Female,0,Yes,No,69,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),24.25,1641.8,No +9397-TZSHA,Female,0,No,No,69,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),24.6,1678.05,No +3391-JSQEW,Male,0,Yes,No,40,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,50.15,2058.5,No +0343-QLUZP,Male,0,No,No,60,No,No phone service,DSL,Yes,Yes,Yes,No,No,No,Two year,No,Bank transfer (automatic),39.6,2424.5,No +9763-PDTKK,Female,0,No,No,4,Yes,No,Fiber optic,Yes,No,Yes,Yes,No,Yes,Month-to-month,Yes,Bank transfer (automatic),94.4,387.2,Yes +2176-LVPNX,Female,1,No,No,71,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Mailed check,89.85,6293.45,No +7627-JKIAZ,Female,0,Yes,No,37,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),78.95,2839.65,Yes +3312-UUMZW,Male,0,Yes,No,32,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),98.85,3145.9,No +1271-UODNO,Male,0,No,No,39,Yes,Yes,DSL,No,No,No,Yes,No,No,Two year,Yes,Credit card (automatic),53.85,2200.7,No +8461-EFQYM,Female,0,No,No,38,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Electronic check,24.25,914.4,No +6900-RBKER,Male,0,No,No,52,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Two year,Yes,Credit card (automatic),89.45,4577.75,No +6891-JPYFF,Female,0,Yes,Yes,48,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),105.25,4997.5,No +1459-QNFQT,Male,0,Yes,Yes,70,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),59.5,4144.8,No +1047-NNCBF,Male,0,No,No,20,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Credit card (automatic),70.55,1493.55,No +3696-XRIEN,Female,0,No,No,50,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),82.5,4179.1,No +4081-DYXAV,Female,0,No,No,19,No,No phone service,DSL,No,No,No,No,Yes,Yes,One year,Yes,Credit card (automatic),44.85,893.55,Yes +0074-HDKDG,Male,0,Yes,Yes,25,Yes,No,DSL,Yes,Yes,Yes,No,No,No,One year,Yes,Bank transfer (automatic),61.6,1611,No +8791-GFXLZ,Male,0,No,No,12,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),49.05,593.05,No +8111-SLLHI,Male,1,Yes,No,39,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,105.65,4284.8,Yes +0927-LCSMG,Male,0,No,No,7,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,No,Mailed check,74.65,544.55,Yes +9330-DHBFL,Female,0,Yes,Yes,23,Yes,No,DSL,Yes,Yes,Yes,Yes,No,No,One year,Yes,Mailed check,66.25,1533.8,No +0098-BOWSO,Male,0,No,No,27,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,19.4,529.8,No +3452-ABWRL,Male,1,No,No,47,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),86.05,3865.6,No +5859-HZYLF,Male,0,Yes,Yes,26,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),19.15,515.75,No +8257-RZAHR,Female,0,Yes,No,14,Yes,Yes,DSL,Yes,No,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),64.7,941,Yes +5293-WXJAK,Female,1,Yes,No,11,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),104.05,1133.65,Yes +3156-QLHBO,Male,0,No,Yes,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.25,48.35,No +2208-NQBCT,Female,0,Yes,Yes,26,Yes,No,Fiber optic,Yes,Yes,No,No,No,No,Month-to-month,No,Electronic check,81.95,2070.05,No +1779-PWPMG,Female,1,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),114.65,8333.95,No +6621-NRZAK,Female,0,Yes,Yes,63,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20,1209.25,No +0831-JNISG,Male,0,Yes,Yes,71,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.8,1396.25,No +0774-IFUVM,Male,0,Yes,Yes,11,Yes,Yes,DSL,Yes,No,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),65.15,723.35,No +3082-WQRVY,Male,1,Yes,No,14,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.65,228.65,No +9553-DLCLU,Female,0,No,Yes,13,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),88.95,1161.75,No +1641-BYBTK,Male,0,No,Yes,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.2,98.35,No +2460-NGXBJ,Male,1,Yes,Yes,11,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),75.2,775.3,No +2446-ZKVAF,Male,0,Yes,No,18,Yes,Yes,DSL,No,Yes,No,No,No,No,Month-to-month,No,Credit card (automatic),56.8,1074.65,No +0841-NULXI,Male,0,No,No,1,No,No phone service,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,35.55,35.55,Yes +3522-CDKHF,Female,0,Yes,No,32,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),75.5,2324.7,No +1430-SFQSA,Male,0,No,No,29,No,No phone service,DSL,Yes,No,No,Yes,No,No,One year,No,Mailed check,35.6,1072.6,No +0411-EZJZE,Female,0,No,No,3,Yes,Yes,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,60.25,170.5,No +7851-WZEKY,Female,0,No,No,2,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.15,196.9,Yes +8844-TONUD,Male,0,Yes,Yes,13,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Mailed check,96.65,1162.85,Yes +8807-ARQET,Female,0,No,No,41,No,No phone service,DSL,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,40.35,1677.85,No +8992-CEUEN,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,18.85,18.85,No +4320-QMLLA,Male,0,No,No,7,Yes,No,DSL,No,No,No,No,Yes,No,Month-to-month,No,Mailed check,54.85,370.4,No +8777-PVYGU,Female,0,Yes,No,52,Yes,No,DSL,Yes,No,Yes,No,Yes,No,One year,Yes,Mailed check,64.3,3410.6,No +8292-ITGYJ,Female,0,Yes,Yes,45,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),24.65,1138.8,No +6870-ZWMNX,Male,0,Yes,No,70,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,No,Two year,No,Credit card (automatic),76.1,5264.25,No +0621-CXBKL,Female,0,No,No,53,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,18.7,1005.7,No +5268-DSMNQ,Female,1,Yes,No,62,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,One year,Yes,Credit card (automatic),97.95,5936.55,No +5334-JLAXU,Female,0,Yes,No,60,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),94.1,5475.9,No +4086-YQSNZ,Female,1,Yes,No,3,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,80.4,224.05,Yes +6242-MBHPK,Female,1,Yes,No,23,Yes,No,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.1,2326.05,No +5868-CZJDR,Male,0,No,Yes,1,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,31.35,31.35,Yes +9359-UGBTK,Female,0,No,No,67,Yes,No,DSL,Yes,No,Yes,Yes,No,Yes,One year,Yes,Bank transfer (automatic),72.35,4991.5,No +0135-NMXAP,Female,0,No,No,12,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),89.75,1052.4,Yes +4782-OSFXZ,Female,1,Yes,No,71,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,Yes,Bank transfer (automatic),82.7,5831.2,No +6479-OAUSD,Male,0,No,No,25,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.9,510.8,No +7129-ACFOG,Female,0,No,No,5,Yes,Yes,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,53.8,283.95,No +4189-NAKJS,Male,0,No,No,26,Yes,Yes,DSL,No,No,No,No,No,No,One year,Yes,Credit card (automatic),51.55,1295.4,No +5562-BETPV,Male,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.65,19.65,No +1282-IHQAC,Male,1,No,No,70,No,No phone service,DSL,No,Yes,Yes,No,Yes,No,One year,Yes,Credit card (automatic),44.05,3011.65,No +9127-FHJBZ,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,114,8093.15,No +6270-OMFIW,Male,0,Yes,No,60,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,One year,Yes,Electronic check,94.4,5610.25,Yes +1641-RQDAY,Female,1,Yes,Yes,32,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.4,3217.65,No +0107-WESLM,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,19.85,19.85,Yes +6994-ORCWG,Female,0,No,No,14,Yes,Yes,DSL,No,Yes,No,No,No,No,One year,Yes,Mailed check,54.25,773.2,No +1346-UFHAX,Female,0,No,No,13,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),80,1029.35,No +3992-YWPKO,Female,0,No,No,6,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),109.9,669.45,Yes +2933-XEUJM,Female,0,No,No,46,Yes,Yes,DSL,Yes,No,Yes,No,Yes,Yes,Two year,No,Mailed check,79.2,3593.8,No +0125-LZQXK,Male,0,No,No,15,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,101.35,1553.95,Yes +5461-QKNTN,Male,1,Yes,No,43,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,94.3,3953.15,No +4835-YSJMR,Male,0,No,No,39,Yes,No,DSL,No,No,No,Yes,No,No,Two year,Yes,Bank transfer (automatic),49.8,1971.15,No +8399-YNDCH,Male,1,No,No,21,Yes,No,DSL,No,No,Yes,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),60.05,1236.15,Yes +3164-YAXFY,Male,0,No,No,57,No,No phone service,DSL,Yes,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,53.75,3196,No +0887-WBJVH,Female,0,Yes,No,53,Yes,No,Fiber optic,No,No,No,Yes,Yes,Yes,One year,Yes,Electronic check,93.45,4872.2,No +4660-IRIBM,Male,0,Yes,Yes,18,Yes,No,Fiber optic,Yes,No,Yes,No,Yes,No,Month-to-month,Yes,Mailed check,87.9,1500.5,No +5673-FSSMF,Female,0,No,No,1,Yes,Yes,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,60.15,60.15,Yes +7670-ZBPOQ,Female,0,Yes,No,58,Yes,Yes,DSL,Yes,No,No,Yes,No,No,One year,Yes,Bank transfer (automatic),61.05,3478.75,No +8089-UZWLX,Female,1,No,No,71,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Two year,No,Bank transfer (automatic),104.05,7413.55,No +0080-OROZO,Female,0,No,No,35,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,99.25,3532,No +3916-NRPAP,Male,0,No,No,3,Yes,No,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,No,Credit card (automatic),85.7,256.75,No +6807-SIWJI,Male,0,No,No,38,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,Yes,One year,Yes,Electronic check,104.85,3887.25,No +8221-HVAYI,Male,0,Yes,Yes,35,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,No,Two year,Yes,Credit card (automatic),69.15,2490.15,No +1579-KLYDT,Male,0,No,No,7,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,90.45,593.45,Yes +5232-NXPAY,Female,0,No,No,47,Yes,No,DSL,No,No,Yes,Yes,Yes,Yes,Two year,No,Mailed check,74.45,3510.3,No +8967-SZQAS,Female,0,No,No,14,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,50.45,765.45,No +4468-KAZHE,Female,1,Yes,No,20,Yes,No,DSL,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,60,1259.35,No +0455-ENTCR,Male,0,Yes,No,66,Yes,Yes,DSL,Yes,Yes,No,Yes,Yes,Yes,Two year,No,Electronic check,85.25,5538.35,No +8944-AILEF,Male,0,Yes,No,15,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),19.45,340.85,No +5542-NKVRU,Female,0,No,No,42,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),20.75,844.45,No +7126-RBHSD,Female,0,Yes,No,17,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,No,Electronic check,78.9,1348.95,No +5370-IIVVL,Male,0,No,No,37,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,One year,Yes,Credit card (automatic),104.5,3778,No +6789-HJBWG,Female,0,No,No,12,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,49.4,611.65,No +3927-NLNRY,Male,0,Yes,No,53,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,One year,Yes,Bank transfer (automatic),94.25,4867.95,Yes +9087-EYCPR,Female,0,No,No,60,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25,1505.05,No +6791-YBNAK,Male,0,Yes,Yes,18,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Credit card (automatic),25.55,467.85,No +6358-LYNGM,Male,0,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.9,74.9,Yes +6077-BDPXA,Female,0,No,No,3,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.15,194.2,No +0013-MHZWF,Female,0,No,Yes,9,Yes,No,DSL,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),69.4,571.45,No +5494-HECPR,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,80.25,80.25,Yes +8268-YDIXR,Male,0,Yes,No,56,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,No,One year,Yes,Electronic check,93.15,5253.95,No +9824-BEMCV,Male,0,Yes,Yes,17,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69,1149.65,Yes +1373-ORVIZ,Female,0,Yes,Yes,11,Yes,Yes,DSL,No,No,No,Yes,No,Yes,Month-to-month,Yes,Electronic check,66.35,740.8,Yes +4291-SHSBH,Male,0,No,No,7,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.55,521.35,No +6980-IMXXE,Female,0,Yes,Yes,69,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.2,1412.65,No +9866-QEVEE,Male,0,No,No,19,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),86,1532.45,Yes +9897-KXHCM,Female,0,Yes,Yes,3,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,80.3,250.05,Yes +0040-HALCW,Male,0,Yes,Yes,54,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.4,1090.6,No +0784-GTUUK,Male,0,Yes,No,62,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Credit card (automatic),23.75,1446.8,No +7979-CORPM,Male,0,No,No,24,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),90.55,2282.55,Yes +2294-DMMUS,Female,0,Yes,Yes,62,Yes,Yes,DSL,No,No,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),70.45,4300.45,No +0872-JCPIB,Male,0,No,No,17,Yes,Yes,DSL,Yes,No,No,No,No,Yes,Month-to-month,No,Bank transfer (automatic),65.75,1111.2,No +3055-MJDSB,Male,0,No,No,9,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,24.6,190.1,No +9091-WTUUY,Male,0,Yes,Yes,64,Yes,No,DSL,Yes,No,Yes,Yes,Yes,No,Two year,No,Mailed check,69.25,4447.75,No +1618-CFHME,Female,0,No,No,2,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.9,143.35,Yes +3165-HDOEW,Male,0,Yes,Yes,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,45.85,45.85,Yes +6581-NQCBA,Female,0,Yes,No,16,No,No phone service,DSL,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,49.95,810.2,Yes +7115-IRDHS,Female,0,Yes,No,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),24.65,1830.05,No +8496-DMZUK,Male,0,No,No,30,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,No,One year,No,Bank transfer (automatic),90.4,2820.65,No +2040-VZIKE,Female,0,Yes,No,49,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Mailed check,100.85,4847.35,No +9068-VPWQQ,Male,0,Yes,No,61,Yes,Yes,DSL,Yes,No,Yes,Yes,No,Yes,Two year,No,Credit card (automatic),75.35,4729.3,No +0178-SZBHO,Male,0,Yes,Yes,47,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,No,Electronic check,87.2,4017.45,No +0384-RVBPI,Male,0,No,No,20,Yes,No,DSL,Yes,No,Yes,No,No,Yes,Month-to-month,No,Credit card (automatic),64.4,1398.6,No +1689-MRZQR,Male,0,Yes,Yes,34,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,No,Electronic check,78.3,2564.3,Yes +1299-AURJA,Female,0,Yes,Yes,70,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),24.7,1685.9,No +4525-VZCZG,Male,0,No,Yes,54,Yes,No,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,One year,Yes,Electronic check,105.85,5826.65,No +1543-LLLFT,Male,1,Yes,No,61,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,No,One year,Yes,Mailed check,98.3,6066.55,No +5835-BEQEU,Male,0,No,No,3,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,76.95,228.4,Yes +2788-CJQAQ,Male,0,No,No,13,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.45,270.2,No +5565-FILXA,Female,1,No,No,16,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,96.15,1529.2,Yes +0319-QZTCO,Female,0,Yes,Yes,3,Yes,No,DSL,No,Yes,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),58.7,168.6,No +2120-SMPEX,Male,0,No,No,25,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.15,536.35,No +0096-FCPUF,Male,0,No,No,30,Yes,Yes,DSL,Yes,No,No,No,No,Yes,Month-to-month,Yes,Mailed check,64.5,1888.45,No +0668-OGMHD,Female,0,Yes,No,21,No,No phone service,DSL,Yes,No,No,No,No,No,Month-to-month,No,Electronic check,28.5,629.35,No +5552-ZNFSJ,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,45.3,45.3,Yes +2223-KAGMX,Female,0,No,No,15,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),19.4,289.3,Yes +6507-ZJSUR,Male,1,Yes,No,23,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,90.45,2117.25,No +9408-HRXRK,Female,0,Yes,Yes,45,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,105.15,4730.9,No +5593-SUAOO,Female,0,Yes,Yes,24,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,No,One year,No,Bank transfer (automatic),83.15,2033.05,No +7321-PKUYW,Female,0,No,No,11,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,No,Month-to-month,No,Electronic check,90.15,987.95,Yes +2833-SLKDQ,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,45.05,45.05,Yes +6766-HFKLA,Female,0,Yes,No,56,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),103.2,5744.35,No +7595-EUIVN,Female,0,No,No,1,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,75.8,75.8,Yes +7617-EYGLW,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,19.45,19.45,No +2026-TGDHM,Female,0,No,No,7,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,79.3,523.15,Yes +9220-ZNKJI,Female,1,Yes,No,55,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,No,Two year,No,Credit card (automatic),88.8,4805.3,No +4030-VPZBD,Female,0,No,No,2,No,No phone service,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,30.9,59.05,Yes +2226-ICFDO,Female,0,Yes,Yes,72,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),85.9,6110.75,No +0723-VSOBE,Female,1,No,No,45,No,No phone service,DSL,No,No,No,No,No,Yes,One year,No,Electronic check,34.2,1596.6,No +5529-GIBVH,Female,0,No,No,47,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.15,1046.2,No +4187-CINZD,Female,1,No,No,46,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,One year,No,Credit card (automatic),95.25,4424.2,Yes +9992-UJOEL,Male,0,No,No,2,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,50.3,92.75,No +4741-WWJQZ,Female,0,Yes,No,2,Yes,No,Fiber optic,Yes,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,80.15,194.55,No +6625-UTXEW,Female,0,Yes,No,12,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,51.25,612.1,No +6818-WOBHJ,Female,1,Yes,No,68,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),89.6,6127.6,Yes +6244-BESBM,Male,0,Yes,Yes,69,Yes,No,Fiber optic,No,No,No,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),95.2,6671.7,No +1004-NOZNR,Male,1,No,Yes,56,Yes,No,Fiber optic,Yes,No,No,No,Yes,Yes,One year,No,Credit card (automatic),94.8,5264.3,No +1251-STYSZ,Female,1,No,No,4,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,80.25,303.7,No +2612-PHGOX,Male,0,Yes,No,64,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,No,Two year,Yes,Bank transfer (automatic),76.1,4818.8,No +2408-TZMJL,Male,0,Yes,No,59,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,110.15,6448.05,Yes +8480-PPONV,Male,0,Yes,Yes,62,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),115.55,7159.05,No +8780-IHCRN,Male,0,Yes,Yes,63,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),24.65,1574.5,No +4598-ZADCK,Female,0,No,No,53,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,No,One year,Yes,Electronic check,53.6,2879.2,No +1257-SXUXQ,Male,0,Yes,Yes,5,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.45,86.05,No +9681-KYGYB,Male,1,Yes,No,49,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,88.2,4159.45,No +7182-OVLBJ,Female,0,Yes,Yes,62,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),101.15,6638.35,No +5095-ETBRJ,Female,0,Yes,No,55,Yes,No,DSL,Yes,Yes,No,Yes,No,No,Two year,No,Mailed check,56.8,3112.05,No +7005-CYUIL,Female,1,Yes,No,71,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,No,Two year,Yes,Electronic check,99.4,7168.25,No +4821-WQOYN,Female,0,Yes,Yes,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),20.1,1326.25,No +4730-AWNAU,Male,0,Yes,Yes,36,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,Yes,One year,No,Credit card (automatic),60.7,2234.55,No +3452-FLHYD,Male,0,Yes,No,25,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),20.95,495.15,No +2388-LAESQ,Female,1,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),114.85,8317.95,No +9531-NSBMR,Female,0,No,No,36,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),19.25,679.8,No +6260-ONULR,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,Yes,Yes,Month-to-month,Yes,Mailed check,62.8,62.8,No +4389-UEFCZ,Female,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,Two year,Yes,Electronic check,105.5,7544,No +8711-LOBKY,Male,0,Yes,Yes,59,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.85,1188.25,No +9134-CEQMF,Male,1,Yes,No,7,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,89.5,676.7,Yes +8985-OOPOS,Female,0,No,No,1,Yes,No,DSL,No,No,Yes,Yes,Yes,Yes,One year,No,Credit card (automatic),74.1,74.1,No +8800-ZKRFW,Female,0,Yes,Yes,30,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,107.5,3242.5,No +2616-FLVQC,Male,0,No,No,64,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.55,1240.15,No +9968-FFVVH,Male,0,No,No,63,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,No,One year,No,Bank transfer (automatic),68.8,4111.35,No +3108-PCCGG,Male,1,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,No,Yes,Yes,Two year,No,Credit card (automatic),84.45,5899.85,No +7993-PYKOF,Male,0,Yes,No,8,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,No,Electronic check,75,632.95,Yes +8390-FESFV,Female,0,No,No,62,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),84.5,5193.2,No +3022-BEXHZ,Male,0,Yes,Yes,67,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),111.2,7530.8,No +5027-XWQHA,Male,0,No,No,6,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,44.75,270.95,Yes +6248-TKCQV,Female,0,Yes,Yes,70,Yes,Yes,DSL,Yes,No,No,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),80.6,5460.2,No +6729-GDNGC,Female,1,No,No,20,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,No,Bank transfer (automatic),80.7,1614.2,No +6198-ZFIOJ,Female,0,No,No,5,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,75.6,402.5,No +5989-OMNJE,Female,0,Yes,Yes,24,No,No phone service,DSL,Yes,Yes,Yes,No,Yes,Yes,One year,No,Electronic check,57.6,1367.75,No +4566-QVRRW,Female,0,Yes,No,11,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,44.05,483.7,Yes +1291-CUOCY,Male,0,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),110.6,7962.2,No +9795-SHUHB,Female,0,Yes,Yes,66,Yes,No,DSL,Yes,Yes,No,Yes,No,No,Two year,Yes,Credit card (automatic),58.2,3810.8,No +3230-IUALN,Female,0,Yes,Yes,45,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Mailed check,81,3533.6,No +0042-RLHYP,Female,0,Yes,Yes,69,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.7,1396.9,No +8519-IMDHU,Male,1,Yes,No,15,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),85.6,1345.55,Yes +4945-RVMTE,Female,0,No,No,28,Yes,No,DSL,No,No,Yes,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),59.55,1646.45,No +0201-OAMXR,Female,0,No,No,70,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,No,Credit card (automatic),115.55,8127.6,Yes +1866-NXPSP,Female,0,No,No,36,Yes,No,DSL,Yes,Yes,Yes,Yes,No,Yes,One year,Yes,Mailed check,75.55,2680.15,No +3372-KWFBM,Male,1,No,No,16,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,86.6,1281,Yes +7831-QGOXH,Female,0,No,No,18,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,85.2,1553.9,Yes +6393-WRYZE,Female,0,Yes,No,34,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,97.65,3207.55,Yes +3941-XTSKM,Male,0,Yes,Yes,42,No,No phone service,DSL,No,Yes,Yes,No,No,Yes,One year,Yes,Credit card (automatic),45.1,2049.05,No +1661-CZBAU,Male,0,No,No,48,Yes,Yes,DSL,Yes,No,No,Yes,No,Yes,One year,Yes,Bank transfer (automatic),70.95,3629.2,No +6599-RCLCJ,Male,0,Yes,No,47,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,109.55,5124.55,Yes +9831-BPFRI,Female,0,Yes,Yes,39,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,No,No,One year,Yes,Electronic check,89.55,3474.45,Yes +5158-RIVOP,Female,0,Yes,Yes,11,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.9,202.3,No +9788-YTFGE,Male,0,No,No,7,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.95,147.5,No +9277-JOOMO,Female,0,No,No,3,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,24.6,86.35,No +1907-YLNYW,Male,0,No,No,8,Yes,No,DSL,Yes,No,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,66.7,579,No +1725-MIMXW,Male,0,No,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.45,19.45,Yes +8947-YRTDV,Male,0,Yes,Yes,32,Yes,No,Fiber optic,Yes,Yes,Yes,No,No,Yes,One year,No,Mailed check,94.8,3131.55,No +3161-ONRWK,Male,0,Yes,Yes,60,Yes,No,DSL,Yes,Yes,Yes,Yes,No,No,One year,Yes,Bank transfer (automatic),65.85,3928.3,No +0114-RSRRW,Female,0,Yes,No,10,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Bank transfer (automatic),19.95,187.75,No +4565-NLZBV,Female,0,Yes,No,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),24.65,1710.15,No +0031-PVLZI,Female,0,Yes,Yes,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.35,76.35,Yes +7206-GZCDC,Female,1,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.25,69.25,Yes +6682-VCIXC,Female,0,Yes,Yes,43,No,No phone service,DSL,Yes,Yes,No,Yes,Yes,No,One year,Yes,Bank transfer (automatic),51.25,2151.6,No +4791-QRGMF,Male,0,Yes,No,59,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),99.5,5961.1,Yes +6475-VHUIZ,Female,0,Yes,No,23,Yes,No,DSL,No,No,Yes,Yes,No,No,Month-to-month,No,Electronic check,54.25,1221.55,No +3910-MRQOY,Female,0,Yes,No,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.4,1496.45,No +0661-WCQNQ,Male,0,Yes,No,22,Yes,No,DSL,Yes,No,No,Yes,No,No,One year,Yes,Credit card (automatic),56.25,1292.2,No +7537-RBWEA,Female,0,No,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,25.15,25.15,No +4656-CAURT,Male,0,No,No,69,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),23.95,1713.1,No +0121-SNYRK,Male,0,No,No,50,No,No phone service,DSL,Yes,No,No,Yes,No,No,One year,Yes,Mailed check,35.4,1748.9,No +1768-ZAIFU,Female,1,No,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,25.2,25.2,Yes +4671-LXRDQ,Male,0,No,No,2,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,45,96.45,Yes +3733-LSYCE,Female,0,Yes,No,15,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,No,Bank transfer (automatic),75.35,1114.55,No +6265-FRMTQ,Male,0,No,No,31,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.4,609.1,No +1934-SJVJK,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.15,20.15,Yes +3838-OZURD,Male,0,Yes,No,66,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),105,7133.25,Yes +1371-DWPAZ,Female,0,Yes,Yes,0,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,No,Credit card (automatic),56.05, ,No +9269-CQOOL,Male,0,No,Yes,3,Yes,No,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),54.7,169.45,Yes +2017-CCBLH,Female,0,No,No,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20,141.6,No +7690-KPNCU,Male,0,Yes,Yes,64,Yes,No,DSL,Yes,No,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),73.05,4688.65,No +0536-BGFMZ,Female,0,Yes,No,28,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.5,563.05,No +2293-IJWPS,Female,0,Yes,No,57,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),100.75,5985,No +2845-HSJCY,Female,0,Yes,Yes,14,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,87.25,1258.6,Yes +5469-NUJUR,Male,0,No,No,19,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,19.95,373.5,No +1184-PJVDB,Male,0,Yes,No,10,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,79.95,857.2,Yes +2625-TRCZQ,Female,0,Yes,No,51,No,No phone service,DSL,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,49.65,2553.35,No +4102-HLENU,Female,0,Yes,No,67,Yes,Yes,DSL,Yes,Yes,Yes,No,No,No,Two year,No,Mailed check,65.65,4322.85,No +7266-GSSJX,Male,0,Yes,Yes,11,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,20.45,250.8,No +7722-VJRQD,Male,0,Yes,Yes,72,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),60.95,4549.05,No +7073-QETQY,Male,0,Yes,Yes,66,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Electronic check,20.35,1359.5,No +9415-DPEWS,Female,0,No,No,18,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,88.35,1639.3,Yes +5624-RYAMH,Female,0,No,No,9,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,19.5,178.85,No +0196-JTUQI,Female,0,No,No,9,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),75.2,633.85,No +7130-YXBRO,Male,0,Yes,No,48,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),111.45,5315.1,No +9272-LSVYH,Male,0,No,No,10,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Mailed check,70.15,735.5,No +7943-RQCHR,Female,0,No,No,9,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.75,889.9,Yes +3793-MMFUH,Female,1,No,No,13,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.05,1290,Yes +3249-ZPQRG,Male,0,No,No,4,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,78.45,330.05,Yes +2568-BRGYX,Male,0,No,No,4,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.2,237.95,Yes +3084-DOWLE,Female,0,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),92,6474.4,No +1084-MNSMJ,Female,0,Yes,Yes,51,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),85.5,4421.95,No +7721-JXEAW,Male,0,Yes,No,59,No,No phone service,DSL,No,Yes,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),41.05,2452.7,Yes +7249-WBIYX,Male,0,Yes,No,10,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,85.6,813.85,Yes +4238-HFHSN,Male,1,Yes,No,61,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,82.15,4904.85,No +6250-CGGUN,Male,0,No,No,54,Yes,No,Fiber optic,Yes,No,Yes,Yes,No,No,One year,No,Electronic check,84.4,4484.05,No +5478-JJVZK,Female,0,No,No,33,Yes,Yes,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,60.9,2033.85,No +7596-IIWYC,Female,0,No,No,27,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),20.25,538.2,No +6567-HOOPW,Female,1,No,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,79.2,79.2,Yes +9793-WECQC,Male,0,No,No,23,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,No,Mailed check,95.3,2192.9,No +4291-HPAXL,Male,0,No,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.85,19.85,No +8999-YPYBV,Male,0,Yes,Yes,45,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Mailed check,84.35,3858.05,No +1839-FBNFR,Female,0,Yes,Yes,39,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),19.85,854.8,No +3164-AALRN,Male,0,No,No,5,Yes,No,DSL,No,No,Yes,No,Yes,Yes,One year,Yes,Mailed check,70,347.4,Yes +3071-MVJCD,Male,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,No,Bank transfer (automatic),82.3,5815.15,No +1697-BCSHV,Female,0,Yes,Yes,58,Yes,Yes,DSL,No,Yes,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),66.8,3970.4,No +0562-KBDVM,Female,0,No,No,70,No,No phone service,DSL,Yes,Yes,Yes,Yes,No,No,Two year,Yes,Bank transfer (automatic),44.6,3058.15,No +1131-SUEKT,Male,0,Yes,Yes,61,Yes,No,Fiber optic,No,Yes,No,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),98.45,6145.2,No +3717-OEAUQ,Male,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Mailed check,70.7,129.2,No +4538-WNTMJ,Female,0,Yes,Yes,46,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,24.95,1165.9,No +3334-CTHOL,Female,0,No,No,1,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),49.95,49.95,Yes +4704-ERYFC,Female,0,Yes,No,22,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.25,1554,Yes +9432-RUVSL,Female,0,No,No,48,Yes,No,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),102.5,4904.25,No +8060-HIWJJ,Male,0,No,No,64,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),86.55,5632.55,No +7684-XSZIY,Male,0,Yes,Yes,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),24.3,1643.25,No +9089-UOWJG,Female,0,Yes,Yes,12,Yes,No,DSL,No,No,Yes,No,Yes,No,Month-to-month,Yes,Credit card (automatic),58.35,740.55,No +8621-MNIHH,Female,1,Yes,No,34,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,94.25,3217.55,Yes +8039-ACLPL,Female,0,Yes,Yes,72,Yes,No,DSL,Yes,Yes,Yes,No,No,Yes,Two year,No,Credit card (automatic),68.75,4888.2,No +9885-AIBVB,Male,0,Yes,No,29,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,85.8,2440.25,No +1934-MKPXS,Male,0,Yes,Yes,33,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),20.1,620.55,No +2592-YKDIF,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.35,20.35,No +2272-JKMSI,Female,0,Yes,Yes,62,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,110.8,6840.95,No +0471-LVHGK,Male,0,Yes,No,41,Yes,Yes,DSL,No,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,73,3001.2,Yes +9518-RWHZL,Female,0,No,No,64,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),100.05,6254.2,Yes +8714-CTZJW,Female,0,No,No,4,Yes,No,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Credit card (automatic),82.85,319.6,No +3569-EDBPQ,Female,0,No,No,24,Yes,Yes,Fiber optic,Yes,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,84.35,1938.05,No +3131-NWVFJ,Female,0,Yes,Yes,14,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.55,294.5,No +7521-YXVZY,Male,0,No,Yes,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.95,58.3,No +5419-CONWX,Female,1,No,No,4,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),99.8,442.85,Yes +6240-EURKS,Female,0,No,Yes,18,No,No phone service,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,35,553,Yes +2373-NTKOD,Male,0,No,No,8,Yes,No,DSL,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,66.25,546.45,No +1970-KKFWL,Female,0,No,No,35,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),23.3,797.1,No +6960-HVYXR,Female,0,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,76,76,Yes +9337-SRRNI,Male,0,No,Yes,66,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),25.3,1673.8,No +0895-UADGO,Male,0,No,Yes,8,No,No phone service,DSL,Yes,No,No,Yes,No,Yes,Two year,Yes,Mailed check,44.55,343.45,No +5678-VFNEQ,Female,0,Yes,No,71,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),104.1,7412.25,No +5977-CKHON,Female,0,Yes,Yes,43,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),92.55,4039,No +7024-OHCCK,Female,1,No,No,2,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,93.85,170.85,Yes +2692-BUCFV,Male,1,No,No,29,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),101.45,2948.6,No +7861-UVUFT,Female,0,Yes,No,15,Yes,No,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,84.3,1308.4,Yes +1830-GGFNM,Male,0,Yes,Yes,65,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,No,Two year,No,Credit card (automatic),94.55,6078.75,No +5302-BDJNT,Male,0,No,No,35,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,No,Month-to-month,No,Electronic check,95.5,3418.2,No +5223-UZAVK,Male,0,No,No,64,Yes,No,Fiber optic,Yes,Yes,No,No,Yes,Yes,One year,Yes,Credit card (automatic),100.3,6603.8,No +4859-ZSRDZ,Female,0,Yes,Yes,58,No,No phone service,DSL,No,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),55.5,3166.9,No +5651-WYIPH,Female,1,No,No,18,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),49.85,865.75,No +9350-VLHMB,Male,0,Yes,Yes,67,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),89.55,6373.1,No +3498-LZGQZ,Male,0,Yes,Yes,63,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,19.15,1177.05,No +8785-CJSHH,Female,0,Yes,No,60,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.8,5985.75,No +5357-TZHPP,Male,1,No,No,9,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),84.4,732.5,Yes +3870-SPZSI,Female,0,Yes,Yes,70,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),113.05,7869.05,No +0680-DFNNY,Male,0,Yes,No,15,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,101.1,1504.05,Yes +7560-QRBXH,Female,0,No,Yes,48,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.95,936.7,No +7077-XJMET,Male,0,Yes,No,12,Yes,No,DSL,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,74.15,741.4,No +8752-GHJFU,Male,1,Yes,No,71,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,No,One year,Yes,Electronic check,92,6585.2,No +6896-SRVYQ,Male,1,No,No,44,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,No,Electronic check,73.85,3122.4,No +7767-UXAGJ,Male,0,No,No,1,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,50.45,50.45,Yes +4652-ODEVH,Male,0,Yes,Yes,45,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,24.45,1088.25,No +6510-UPNKS,Female,0,No,No,23,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),24.8,615.35,No +6718-BDGHG,Female,0,Yes,No,43,Yes,Yes,DSL,No,No,No,Yes,Yes,No,One year,Yes,Bank transfer (automatic),64.85,2908.2,No +9046-DQMTP,Male,0,No,No,35,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),20.75,739.9,No +6439-LAJXL,Male,0,Yes,No,9,Yes,No,DSL,Yes,Yes,No,Yes,Yes,No,Month-to-month,Yes,Mailed check,68.95,593.85,No +1571-SAVHK,Male,0,No,No,12,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Mailed check,99.95,1132.75,Yes +9052-VKDUW,Female,1,Yes,No,65,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),109.4,7227.45,No +9546-CQJSU,Female,0,No,No,2,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,91.4,193.6,Yes +1666-JZPZT,Male,0,No,No,27,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,49,1291.35,No +5777-KJIRB,Female,0,No,No,40,Yes,No,DSL,No,No,Yes,No,No,No,One year,Yes,Mailed check,50.25,2023.55,No +0506-LVNGN,Female,1,No,No,5,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),75.55,349.65,Yes +7677-SJJJK,Male,0,Yes,Yes,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.9,153.95,No +2480-EJWYP,Female,1,Yes,No,58,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,One year,Yes,Bank transfer (automatic),97.8,5458.8,No +3253-HKOKL,Female,0,Yes,Yes,52,Yes,No,Fiber optic,Yes,No,Yes,No,Yes,Yes,One year,No,Electronic check,100.3,5244.45,No +7055-HNEOJ,Male,0,Yes,No,3,Yes,No,DSL,No,No,Yes,Yes,No,No,Month-to-month,Yes,Mailed check,55.8,154.55,No +5514-YQENT,Male,0,No,Yes,41,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,111.15,4507.15,No +3211-AAPKX,Male,0,No,No,20,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Mailed check,98.55,2031.95,No +8445-DNBAE,Male,0,No,Yes,1,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,50.05,50.05,No +2951-QOQTK,Male,0,No,Yes,4,Yes,Yes,Fiber optic,No,No,No,Yes,No,No,Month-to-month,No,Credit card (automatic),80.8,332.45,Yes +2958-NHPPS,Male,0,No,No,23,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,20.85,473.9,No +6806-YDEUL,Female,1,No,No,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),19.5,106.8,No +1735-XMJVH,Male,0,Yes,Yes,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.35,152.6,No +6890-PFRQX,Male,0,No,No,18,Yes,Yes,DSL,Yes,No,Yes,No,Yes,No,Month-to-month,No,Mailed check,69.5,1199.4,No +0222-CNVPT,Male,1,No,No,52,No,No phone service,DSL,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),48.8,2555.05,No +5899-OUVKV,Male,0,No,No,31,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.5,2979.2,No +8681-ICONS,Male,0,Yes,Yes,29,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.65,654.85,No +1621-YNCJH,Female,0,Yes,No,36,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,Yes,Two year,Yes,Credit card (automatic),106.05,3834.4,No +3473-XIIIT,Female,0,Yes,No,16,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,100,1534.75,Yes +6362-QHAFM,Male,0,Yes,No,42,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,108.3,4586.15,No +7893-IXHRQ,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,20.55,20.55,Yes +3070-BDOQC,Female,0,No,No,60,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Electronic check,99.65,5941.05,No +2952-QAYZF,Male,0,No,No,5,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,85.3,424.15,Yes +6234-PFPXL,Male,0,Yes,No,22,Yes,Yes,Fiber optic,Yes,No,No,Yes,Yes,No,Month-to-month,No,Credit card (automatic),95.9,2234.95,No +9824-QCJPK,Male,0,Yes,No,36,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20,666.75,No +4763-PGDPO,Female,0,No,No,4,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,70.4,281,Yes +4283-IVYCI,Male,0,No,No,9,Yes,No,DSL,Yes,No,No,Yes,No,Yes,Month-to-month,No,Mailed check,64.95,547.8,No +1866-OBPNR,Male,0,Yes,Yes,1,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,No,Credit card (automatic),74.6,74.6,No +8205-MQUGY,Male,0,Yes,Yes,12,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,49.2,571.15,No +8970-ANWXO,Female,0,No,No,23,Yes,Yes,DSL,No,No,No,Yes,Yes,Yes,One year,Yes,Mailed check,73.75,1756.6,No +9480-BQJEI,Male,0,No,No,62,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,Yes,One year,Yes,Bank transfer (automatic),92.3,5731.45,No +5394-SVGJV,Male,0,No,No,37,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,No,Bank transfer (automatic),98.8,3475.55,Yes +6979-TNDEU,Female,0,No,No,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.2,156.85,No +9777-WJJPR,Male,0,Yes,No,31,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,No,Credit card (automatic),88.65,2683.2,No +9283-LZQOH,Male,0,Yes,Yes,13,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),74.4,896.75,Yes +7079-QRCBC,Female,0,No,No,24,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,98.75,2407.3,Yes +9495-SKLKD,Male,0,Yes,Yes,45,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),95.95,4456.65,No +6048-UWKAL,Female,1,Yes,No,69,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,Two year,No,Credit card (automatic),105.4,6998.95,No +5067-DGXLL,Male,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.25,36.8,No +5469-CTCWN,Male,0,Yes,Yes,61,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,Yes,One year,Yes,Electronic check,106,6547.7,Yes +9851-QXEEQ,Male,0,No,No,41,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,104.7,4346.4,Yes +6281-FKEWS,Female,0,No,No,44,No,No phone service,DSL,No,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,49.05,2265,No +8898-KASCD,Male,0,No,No,39,No,No phone service,DSL,No,No,Yes,Yes,No,No,One year,No,Mailed check,35.55,1309.15,No +9242-TKFSV,Male,0,Yes,Yes,72,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),65.1,4754.3,No +9290-SHCMB,Female,1,No,No,13,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,96.85,1235.55,No +0743-HNPFG,Female,0,Yes,Yes,51,Yes,No,DSL,Yes,Yes,No,Yes,No,Yes,One year,Yes,Credit card (automatic),69.75,3562.5,No +2277-BKJKN,Female,1,Yes,No,71,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Electronic check,99.2,7213.75,No +9809-IMGCQ,Male,1,No,No,22,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,96.7,2082.95,Yes +5208-HFSBT,Female,0,No,No,2,Yes,No,DSL,No,Yes,No,Yes,No,No,Month-to-month,Yes,Credit card (automatic),55.05,102.75,Yes +5035-PGZXH,Female,0,No,No,56,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,106.8,5914.4,No +8695-WDYEA,Male,0,No,No,1,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,No,Mailed check,51.25,51.25,No +6543-JXSOO,Female,0,Yes,Yes,23,Yes,No,DSL,Yes,Yes,No,Yes,No,No,One year,Yes,Mailed check,57.75,1282.85,No +8016-ZMGMO,Female,1,Yes,No,66,Yes,Yes,DSL,No,Yes,Yes,No,Yes,No,One year,Yes,Bank transfer (automatic),70.85,4738.85,No +8605-ITULD,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.55,19.55,No +3254-YRILK,Male,1,No,No,19,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,88.2,1775.8,Yes +6416-YJTTB,Male,0,No,No,11,Yes,No,Fiber optic,Yes,No,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),79.5,795.65,No +2667-WYLWJ,Female,0,Yes,Yes,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,19.75,145,Yes +4472-VESGY,Female,0,Yes,Yes,52,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,Yes,Month-to-month,No,Bank transfer (automatic),98.15,4993.4,No +3195-TQDZX,Male,0,No,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,20.25,61.45,No +3128-YOVTD,Female,0,Yes,Yes,51,Yes,No,Fiber optic,Yes,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),79.15,4018.55,No +0529-ONKER,Male,1,No,No,15,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,75.65,1146.65,Yes +1728-CXQBE,Male,1,Yes,No,64,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,94.25,6081.4,No +7041-TXQJH,Female,0,No,No,37,No,No phone service,DSL,No,No,Yes,No,No,Yes,Month-to-month,Yes,Credit card (automatic),40.2,1478.85,No +5014-GSOUQ,Male,0,No,No,13,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.95,243.65,No +5724-BIDBU,Male,0,Yes,No,49,Yes,Yes,DSL,Yes,No,No,No,No,No,One year,Yes,Electronic check,55.35,2633.95,No +0481-SUMCB,Female,1,No,No,45,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),102.15,4735.35,No +1769-GRUIK,Female,0,No,No,18,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,71.1,1247.75,No +5240-IJOQT,Male,1,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.7,74.7,Yes +8819-WFGGJ,Male,0,Yes,No,68,No,No phone service,DSL,Yes,No,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),54.1,3794.5,No +7427-AUFPY,Male,0,No,No,54,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.65,1008.7,No +2811-POVEX,Female,1,Yes,Yes,23,Yes,No,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),88.45,2130.55,No +1092-GANHU,Male,0,No,No,17,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,76.65,1313.55,Yes +7898-PDWQE,Male,0,Yes,No,71,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,No,Credit card (automatic),80.4,5727.15,No +9972-EWRJS,Female,0,Yes,Yes,67,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),19.25,1372.9,No +9314-IJWSQ,Female,0,Yes,Yes,14,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,84.8,1203.9,No +0661-XEYAN,Female,1,No,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,25.8,25.8,Yes +5799-JRCZO,Female,0,No,Yes,63,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.5,1215.1,No +1921-KYSAY,Female,0,No,No,41,Yes,Yes,DSL,No,No,Yes,Yes,No,Yes,One year,Yes,Electronic check,68.6,2877.05,No +6198-RTPMF,Female,0,Yes,No,17,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,92.6,1579.7,No +2924-KHUVI,Male,0,Yes,No,56,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,One year,Yes,Electronic check,100.55,5514.95,No +1925-GMVBW,Female,0,No,No,5,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),20.55,96.1,No +7881-EVUAD,Female,0,No,No,2,No,No phone service,DSL,Yes,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,42.6,72.4,Yes +6184-DYUOB,Female,0,Yes,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.6,55.25,No +9207-ZPANB,Male,0,No,No,37,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,No,One year,No,Electronic check,67.45,2443.3,No +5766-XQXMQ,Female,0,No,No,29,Yes,No,DSL,Yes,Yes,Yes,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),68.85,1970.5,Yes +9327-QSDED,Male,0,No,No,8,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,43.55,335.4,No +1656-DRSMG,Female,0,No,No,63,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),109.85,7002.95,No +3012-VFFMN,Female,0,Yes,Yes,7,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.65,158.95,No +2984-AFWNC,Female,0,No,No,3,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,No,Electronic check,95.4,293.15,No +0640-YJTPY,Male,0,Yes,Yes,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),21,1493.75,No +8096-LOIST,Female,0,No,No,19,Yes,No,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,56.2,1093.4,No +9764-REAFF,Female,0,Yes,No,59,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),18.4,1057.85,No +3703-VAVCL,Male,0,Yes,Yes,2,Yes,No,Fiber optic,No,No,Yes,Yes,No,Yes,Month-to-month,No,Credit card (automatic),90,190.05,Yes +7107-UBYKY,Female,0,Yes,Yes,35,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,25.75,882.55,No +4881-GQJTW,Male,0,No,No,14,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),19.6,300.4,No +8519-QJGJD,Female,0,No,No,14,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,No,Electronic check,75.35,1025.95,Yes +7876-DNYAP,Female,0,Yes,Yes,69,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.8,1436.95,No +7905-NJMXS,Male,1,Yes,No,7,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,Month-to-month,No,Electronic check,64.2,475,No +2882-WDTBA,Male,0,Yes,Yes,69,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,Yes,Bank transfer (automatic),75.75,5388.15,No +2091-GPPIQ,Female,0,Yes,Yes,72,Yes,Yes,DSL,No,Yes,No,Yes,Yes,Yes,Two year,Yes,Electronic check,78.95,5730.15,No +6326-MTTXK,Male,0,No,No,8,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,No,Electronic check,100.85,819.55,Yes +5071-FBJFS,Female,0,Yes,Yes,4,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,No,Electronic check,50.3,217.1,No +2796-UUZZO,Male,0,Yes,Yes,63,Yes,No,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),80.3,4896.35,No +2429-AYKKO,Male,0,No,No,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.85,1434.1,No +9798-OPFEM,Female,0,No,No,46,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Electronic check,21.1,937.1,No +0330-IVZHA,Female,0,Yes,No,5,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,69.95,330.15,Yes +3794-NFNCH,Male,0,Yes,No,30,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Mailed check,50,1474.9,No +5193-QLVZB,Male,0,No,No,63,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),104.75,6536.5,No +7114-AEOZE,Female,0,No,No,60,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.85,1128.1,No +2886-KEFUM,Female,0,Yes,No,63,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,107.5,6873.75,Yes +5522-NYKPB,Male,0,Yes,Yes,25,Yes,No,Fiber optic,No,No,No,Yes,Yes,No,Month-to-month,No,Electronic check,85.9,2199.05,No +4237-RLAQD,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,45.85,45.85,Yes +9957-YODKZ,Male,1,Yes,No,6,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,80.8,457.1,No +6518-KZXCB,Male,0,No,No,22,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.25,566.5,No +2245-ADZFJ,Female,0,Yes,Yes,31,Yes,Yes,DSL,No,Yes,No,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),80.55,2471.6,No +7776-QGYJC,Female,0,Yes,Yes,39,Yes,No,Fiber optic,No,No,Yes,Yes,No,No,Month-to-month,Yes,Bank transfer (automatic),81.5,3107.3,No +9313-QOLTZ,Male,0,No,No,26,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.9,518.3,No +9651-GTSAQ,Female,0,Yes,No,53,Yes,No,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),106.1,5769.75,Yes +3186-BAXNB,Female,0,No,No,1,Yes,No,Fiber optic,No,Yes,No,Yes,Yes,No,Month-to-month,No,Electronic check,91.7,91.7,Yes +4672-FOTSD,Male,0,No,No,12,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,Month-to-month,Yes,Electronic check,67.25,832.3,No +0637-YLETY,Female,0,No,No,16,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Credit card (automatic),95.6,1555.65,Yes +9818-XQCUV,Female,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.35,45.3,No +7338-ERIVA,Male,0,No,Yes,39,No,No phone service,DSL,Yes,No,No,Yes,Yes,No,One year,No,Bank transfer (automatic),45.05,1790.6,No +1157-BQCUW,Male,0,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.95,74.95,Yes +8259-NFJTV,Female,0,Yes,Yes,7,No,No phone service,DSL,Yes,No,No,Yes,No,No,Month-to-month,No,Mailed check,34.65,246.6,No +3223-DWFIO,Male,1,No,No,4,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,69.35,261.65,No +2660-EMUBI,Male,1,No,No,10,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.35,898.35,Yes +6968-GMKPR,Female,0,No,No,55,Yes,No,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,81.55,4509.5,No +4751-ERMAN,Male,0,Yes,Yes,72,Yes,No,DSL,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),75.4,5480.25,No +1436-ZMJAN,Female,0,Yes,No,10,Yes,No,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),67.8,653.15,No +3292-PBZEJ,Male,1,No,No,11,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,111.4,1183.05,No +0799-DDIHE,Female,0,Yes,Yes,15,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,46.3,639.45,No +3070-FNFZQ,Female,0,Yes,Yes,23,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.4,478.75,No +2812-SFXMJ,Male,0,No,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.05,20.05,No +7675-OZCZG,Female,1,No,No,3,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,45,127.1,Yes +5014-WUQMG,Male,0,Yes,Yes,47,Yes,No,Fiber optic,Yes,Yes,Yes,No,No,Yes,One year,Yes,Electronic check,96.1,4391.45,No +5312-TSZVC,Female,0,No,Yes,15,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.65,270.6,No +2003-CKLOR,Male,0,No,No,66,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,No,Electronic check,99.5,6710.5,Yes +0993-OSGPT,Female,1,Yes,No,68,Yes,No,DSL,No,Yes,Yes,Yes,No,No,One year,Yes,Bank transfer (automatic),60.65,3975.9,No +9254-RBFON,Female,0,Yes,Yes,17,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,Yes,One year,No,Bank transfer (automatic),98.6,1704.95,Yes +1205-WNWPJ,Female,0,No,No,7,Yes,No,DSL,No,No,No,Yes,Yes,No,Month-to-month,Yes,Mailed check,59.5,415.95,Yes +9391-EOYLI,Male,1,Yes,No,12,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,80.45,950.2,Yes +7108-DGVUU,Female,1,Yes,No,21,Yes,Yes,DSL,No,Yes,Yes,No,No,Yes,One year,No,Bank transfer (automatic),71.7,1497.05,No +2782-JEEBU,Male,0,No,No,21,No,No phone service,DSL,No,Yes,No,Yes,No,No,Month-to-month,Yes,Mailed check,36,780.15,No +5127-BZENZ,Female,0,Yes,Yes,56,Yes,Yes,DSL,Yes,No,No,No,Yes,No,One year,No,Bank transfer (automatic),65.2,3512.15,No +2720-FVBQP,Female,0,Yes,Yes,6,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),48.95,273.25,No +9906-NHHVC,Female,1,No,No,65,No,No phone service,DSL,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),53.5,3517.9,No +4522-XRWWI,Male,0,Yes,No,42,Yes,Yes,DSL,Yes,No,No,Yes,Yes,Yes,One year,No,Credit card (automatic),80.45,3375.9,No +3766-EJLFL,Female,0,Yes,Yes,68,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),109.05,7508.55,No +5939-SXWHM,Male,0,Yes,Yes,48,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),26.3,1245.05,No +8152-UOBNY,Female,1,No,No,50,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,One year,Yes,Electronic check,106.8,5347.95,No +7351-KYHQH,Female,1,No,No,7,Yes,No,DSL,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,64.95,493.65,No +7643-RCHXS,Female,0,Yes,Yes,63,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Electronic check,19.35,1263.85,No +8246-SHFGA,Male,0,No,No,17,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),21.1,385.55,No +8387-MOJJT,Female,0,Yes,Yes,42,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),77.95,3384,Yes +0620-XEFWH,Male,0,Yes,Yes,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,18.85,84.2,No +6485-QXWWE,Female,0,No,Yes,62,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),26,1638.7,No +2761-OCIAX,Male,1,No,No,2,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,74.7,165.4,Yes +7321-VGNKU,Female,0,Yes,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.35,120.25,No +5327-CNLUQ,Male,0,Yes,No,48,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,No,Two year,Yes,Bank transfer (automatic),96.9,4473.45,No +7552-KEYGT,Male,0,Yes,No,27,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.55,520.55,No +5816-JMLGY,Female,0,Yes,Yes,70,Yes,No,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),80.4,5717.85,No +3068-OMWZA,Male,1,No,No,1,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,88.8,88.8,Yes +2927-QRRQV,Male,0,Yes,No,46,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,One year,Yes,Electronic check,94.65,4312.5,No +6032-KRXXO,Male,0,No,No,30,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,90.25,2755.35,Yes +7459-RRWQZ,Female,0,No,No,15,Yes,Yes,DSL,Yes,No,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),64.65,994.55,Yes +6265-SXWBU,Male,0,Yes,Yes,69,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,One year,No,Credit card (automatic),95.75,6511.25,No +7941-RCJOW,Male,0,No,No,65,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),19.55,1218.65,No +6374-NTQLP,Male,1,Yes,Yes,72,Yes,No,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),104.1,7447.7,No +4154-AQUGT,Male,1,Yes,No,13,Yes,No,Fiber optic,No,Yes,No,Yes,No,Yes,Month-to-month,Yes,Bank transfer (automatic),89.05,1169.35,Yes +2387-KDZQY,Male,0,No,No,17,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,20.1,279.5,No +3584-WKTTW,Male,0,Yes,No,51,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,111.55,5720.35,No +3399-BMLVW,Male,0,Yes,Yes,51,Yes,No,DSL,Yes,Yes,No,Yes,No,No,Two year,No,Credit card (automatic),60.5,3121.45,No +1971-DTCZB,Female,0,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),90.95,6468.6,No +3092-IGHWF,Male,0,Yes,Yes,67,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,No,One year,No,Electronic check,87.4,5918.8,Yes +3374-PZLXD,Male,0,No,No,34,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.7,675.6,No +3813-DHBBB,Male,0,Yes,No,67,No,No phone service,DSL,Yes,Yes,No,Yes,No,Yes,Two year,Yes,Bank transfer (automatic),50.95,3521.7,No +2812-REYAT,Female,0,Yes,No,49,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),20.05,923.1,No +6518-PPLMZ,Male,0,Yes,Yes,53,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,19.4,1110.35,No +4939-KYYPY,Male,0,No,No,27,Yes,Yes,DSL,No,No,Yes,Yes,No,No,Month-to-month,No,Electronic check,59.45,1611.65,No +8017-LXHFA,Female,1,No,No,23,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.75,2293.6,Yes +5930-GBIWP,Male,0,No,No,69,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,Yes,Credit card (automatic),81.5,5553.25,No +6022-KOUQO,Female,0,Yes,Yes,2,No,No phone service,DSL,No,No,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),29.05,44.75,No +6352-TWCAU,Female,0,No,No,35,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,86.45,3029.1,Yes +2361-UPSND,Female,0,Yes,No,46,Yes,No,DSL,Yes,Yes,No,Yes,No,Yes,One year,No,Mailed check,70.6,3231.05,No +6035-RIIOM,Female,0,No,No,54,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),97.2,5129.45,No +2929-QNSRW,Female,0,Yes,No,56,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,One year,Yes,Electronic check,98.25,5508.35,Yes +1262-OPMFY,Female,0,Yes,No,9,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),75.75,655.9,Yes +9504-DSHWM,Male,0,No,No,20,Yes,Yes,DSL,Yes,No,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),59.2,1191.2,No +5035-BVCXS,Male,0,No,No,11,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,75.9,866.4,No +6267-DCFFZ,Female,1,Yes,No,30,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,90.05,2627.2,No +3533-UVMOM,Male,0,Yes,No,68,Yes,No,DSL,Yes,Yes,Yes,No,No,Yes,Two year,No,Bank transfer (automatic),70.95,4741.45,No +2439-LYPMQ,Male,1,Yes,No,38,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,102.6,4009.2,No +4248-QPAVC,Female,1,Yes,No,17,Yes,Yes,Fiber optic,Yes,No,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),85.35,1463.45,Yes +1899-VXWXM,Male,0,No,No,48,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),106.1,5082.8,Yes +1478-VPOAD,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,43.8,43.8,No +9995-HOTOH,Male,0,Yes,Yes,63,No,No phone service,DSL,Yes,Yes,Yes,No,Yes,Yes,Two year,No,Electronic check,59,3707.6,No +2988-PLAHS,Female,0,No,No,3,Yes,No,DSL,No,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,69.95,220.45,No +1371-OJCEK,Female,0,No,No,48,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),24.35,1133.7,No +4999-IEZLT,Male,0,No,No,66,No,No phone service,DSL,No,No,No,Yes,No,No,One year,No,Credit card (automatic),29.45,1983.15,No +8883-ANODQ,Female,0,Yes,Yes,68,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,No,Two year,Yes,Credit card (automatic),84.4,5746.75,No +4690-LLKUA,Male,1,No,No,17,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,45.05,770.6,Yes +2351-RRBUE,Female,0,Yes,Yes,7,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.65,134.05,No +5980-BDHPY,Male,0,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),87.1,6230.1,No +1498-DQNRX,Female,0,Yes,No,29,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.85,573.05,No +9469-WEJBT,Male,0,Yes,No,37,Yes,No,Fiber optic,No,No,Yes,Yes,No,Yes,Month-to-month,Yes,Electronic check,90.35,3419.3,No +3331-HQDTW,Female,0,No,No,34,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Mailed check,109.8,3587.25,Yes +9490-DFPMD,Female,1,No,No,42,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,84.65,3541.35,Yes +2581-VKIRT,Female,0,Yes,Yes,59,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,One year,No,Mailed check,65.5,3801.3,No +5442-XSDCW,Male,0,Yes,Yes,11,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),79.5,868.5,Yes +7426-WEIJX,Male,1,Yes,Yes,60,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,80.95,4859.1,No +2851-MMUTZ,Female,0,No,No,27,Yes,No,DSL,No,Yes,No,Yes,No,No,Month-to-month,Yes,Mailed check,56.15,1439.35,No +3049-NDXFL,Female,0,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Mailed check,85.8,85.8,Yes +8580-AECUZ,Male,1,No,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,79.1,79.1,Yes +3307-TLCUD,Male,0,Yes,No,17,No,No phone service,DSL,Yes,No,Yes,No,No,No,Month-to-month,No,Mailed check,34.4,592.75,No +6625-FLENO,Male,0,Yes,No,58,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.75,1185.95,No +2967-MXRAV,Male,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,18.8,18.8,No +7963-GQRMY,Female,0,Yes,Yes,3,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,44.3,134.5,Yes +8189-HBVRW,Female,0,No,No,53,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,No,Month-to-month,No,Electronic check,90.8,4921.2,No +4163-KIUHY,Male,0,No,No,35,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,25.6,901.25,No +1228-FZFRV,Male,0,Yes,Yes,50,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,Month-to-month,No,Credit card (automatic),105.95,5341.8,Yes +3500-NSDOA,Male,0,Yes,Yes,68,Yes,Yes,DSL,No,Yes,No,Yes,No,Yes,Two year,No,Credit card (automatic),70.8,4859.95,No +1171-TYKUR,Male,0,Yes,No,47,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,25.4,1139.2,No +3761-FLYZI,Female,1,Yes,No,65,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),108.8,7082.45,No +2058-DCJBE,Male,0,No,No,5,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.75,324.6,Yes +5364-XYIRR,Male,0,Yes,No,51,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.65,4812.75,Yes +4829-AUOAX,Female,0,No,No,46,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Bank transfer (automatic),96.05,4399.5,Yes +1219-NNDDO,Female,0,No,No,9,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,76.85,663.55,No +8388-DMKAE,Female,0,No,No,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.25,174.65,No +4403-BWPAY,Male,0,No,No,14,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Credit card (automatic),24.8,321.7,No +9659-QEQSY,Female,0,No,No,45,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,115.65,5125.5,No +5405-ZMYXQ,Female,0,No,No,8,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),74.6,548.9,No +5047-LHVLY,Male,1,No,Yes,1,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Mailed check,50.15,50.15,Yes +1442-OKRJE,Male,0,Yes,Yes,66,Yes,No,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),103.15,7031.3,No +4737-AQCPU,Male,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,No,Two year,No,Credit card (automatic),72.1,5016.65,No +9158-VCTQB,Female,0,Yes,No,41,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),113.6,4594.95,Yes +2808-CHTDM,Female,0,Yes,Yes,23,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.1,611.45,No +6311-UEUME,Female,0,No,No,29,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,78.9,2384.15,Yes +0793-TWELN,Female,0,No,No,4,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,80.15,319.85,No +3283-WCWXT,Male,0,Yes,Yes,6,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.4,153.3,No +1060-ENTOF,Female,1,Yes,No,67,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,Yes,One year,Yes,Credit card (automatic),105.4,7035.6,No +0999-QXNSA,Male,1,No,Yes,7,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,45.75,344.2,No +5451-MHQOF,Male,0,Yes,Yes,56,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,24.45,1431.65,No +4836-WNFNO,Female,0,Yes,No,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25,1849.2,No +9225-BZLNZ,Male,0,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Electronic check,85.25,6083.1,No +0354-VXMJC,Male,0,Yes,Yes,23,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.6,426.65,No +4422-QVIJA,Female,0,No,Yes,35,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,50.15,1655.35,No +9365-SRSZE,Male,1,Yes,No,27,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.55,1943.9,No +6839-ITVZJ,Female,0,Yes,Yes,26,Yes,Yes,DSL,No,Yes,No,Yes,No,No,Month-to-month,Yes,Electronic check,60.05,1616.15,Yes +8332-OSJDW,Male,0,Yes,Yes,12,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,26.4,314.95,No +4735-BJKOU,Female,0,No,No,40,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.15,804.85,No +0274-JKUJR,Male,0,Yes,Yes,7,No,No phone service,DSL,Yes,Yes,Yes,No,Yes,Yes,Month-to-month,No,Mailed check,58.85,465.7,No +5740-YHGTW,Male,0,Yes,Yes,70,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),97.55,6669.05,No +8917-SZTTJ,Male,0,Yes,Yes,60,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.65,1161.75,No +1696-MZVAU,Male,0,Yes,Yes,39,No,No phone service,DSL,No,No,No,No,No,No,One year,Yes,Credit card (automatic),25.25,947.75,No +7359-WWYJV,Male,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),114.45,8375.05,No +0375-HVGXO,Female,0,No,No,1,No,No phone service,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,34.7,34.7,Yes +4906-ZHGPK,Male,0,Yes,Yes,54,Yes,Yes,DSL,No,Yes,No,Yes,Yes,No,One year,Yes,Electronic check,70.7,3770,No +8593-WHYHV,Male,0,No,No,3,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,85.3,264.8,Yes +3795-GWTRD,Female,0,Yes,Yes,63,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,No,Credit card (automatic),75.55,4707.85,No +1298-PHBTI,Male,0,Yes,Yes,71,Yes,Yes,Fiber optic,No,Yes,No,Yes,No,No,Two year,Yes,Electronic check,84.8,6152.4,No +6223-DHJGV,Female,0,No,No,42,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,20.65,958.1,No +6961-MJKBO,Male,0,No,No,47,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.45,943,No +6097-EQISJ,Female,0,Yes,Yes,66,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),102.45,6615.15,Yes +4423-YLHDV,Female,0,Yes,No,21,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),104.4,2200.25,Yes +8158-WPEZG,Male,0,No,No,11,No,No phone service,DSL,No,Yes,No,Yes,No,No,Month-to-month,Yes,Electronic check,35.65,425.1,No +0107-YHINA,Male,0,No,Yes,1,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.75,99.75,Yes +4918-FYJNT,Female,1,Yes,No,55,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,No,No,Month-to-month,No,Electronic check,90.45,5044.8,No +0727-BNRLG,Male,0,No,No,69,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,No,Two year,Yes,Credit card (automatic),97.65,6743.55,No +4854-CIDCF,Female,1,No,No,3,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,No,Electronic check,73.85,196.4,No +8640-SDGKB,Male,0,No,No,4,Yes,No,DSL,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,74.4,299.7,Yes +3280-MRDOF,Male,1,No,No,30,Yes,Yes,DSL,No,No,Yes,Yes,Yes,No,Two year,Yes,Credit card (automatic),69.1,2093.9,No +6435-SRWBJ,Female,0,No,No,5,Yes,Yes,Fiber optic,No,No,Yes,Yes,No,No,Month-to-month,Yes,Electronic check,82.75,417.75,No +9964-WBQDJ,Female,0,Yes,No,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),24.4,1725.4,No +6303-KFWSL,Female,0,No,No,29,Yes,Yes,DSL,No,Yes,No,No,No,No,One year,Yes,Electronic check,55.25,1620.2,No +1702-CCFNJ,Male,0,Yes,No,52,Yes,Yes,DSL,No,Yes,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),61.35,3169.55,No +8932-CZHRQ,Male,0,No,No,68,Yes,Yes,DSL,Yes,Yes,Yes,No,No,Yes,One year,No,Credit card (automatic),76.75,5233.25,No +0386-CWRGM,Female,0,Yes,Yes,46,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.4,967.85,No +5515-RUGKN,Male,0,No,No,8,Yes,No,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),54.75,438.05,No +0404-AHASP,Male,0,Yes,No,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.7,1421.9,No +7279-NMVJC,Female,0,No,No,17,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),19.9,323.15,No +2081-VEYEH,Male,0,No,No,3,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,107.95,318.6,No +6407-UTSLV,Female,1,No,No,2,Yes,No,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),83.8,163.7,No +4116-TZAQJ,Female,0,No,No,9,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),74.25,639.65,Yes +9060-HJJRW,Female,0,No,No,51,No,No phone service,DSL,No,Yes,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),56.4,2928.5,No +2587-YNLES,Female,0,Yes,Yes,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.1,100.35,No +7398-SKNQZ,Female,0,Yes,No,3,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,94.9,273.2,No +5935-FCCNB,Female,1,No,No,17,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.2,1608.15,No +1958-RNRKS,Male,0,Yes,No,30,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,49.9,1441.95,No +5136-RGMZO,Male,0,No,No,31,Yes,Yes,DSL,No,Yes,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,71.05,2168.15,No +8345-MVDYC,Female,0,No,No,45,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),81.65,3618.7,No +8226-BXGES,Male,0,Yes,No,64,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,No,One year,No,Bank transfer (automatic),89.45,5692.65,No +3877-JRJIP,Male,0,No,No,1,Yes,Yes,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,59.85,59.85,Yes +8375-DKEBR,Female,1,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.6,69.6,Yes +9705-IOVQQ,Male,1,Yes,Yes,61,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,One year,No,Electronic check,99,5969.3,No +1015-OWJKI,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.05,19.05,No +7511-YMXVQ,Male,0,No,No,9,No,No phone service,DSL,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,45.4,418.8,Yes +2040-XBAVJ,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),114.45,8100.55,No +7551-JOHTI,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.5,19.5,Yes +8887-IPQNC,Female,0,Yes,No,7,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,44.25,313.45,No +8646-JCOMS,Female,0,Yes,No,66,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,No,No,One year,Yes,Bank transfer (automatic),90.55,6130.95,No +9804-ICWBG,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.9,69.9,Yes +1222-KJNZD,Male,0,Yes,Yes,40,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Bank transfer (automatic),20.4,745.3,No +0106-GHRQR,Male,0,No,No,16,Yes,Yes,DSL,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),71.4,1212.1,No +5318-IXUZF,Female,0,No,No,2,Yes,No,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),87.15,183.75,Yes +3768-VHXQO,Male,0,Yes,No,67,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),24.85,1583.5,No +8952-WCVCD,Female,0,Yes,No,41,Yes,No,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),104.45,4162.05,No +2418-TPEUN,Female,0,Yes,Yes,56,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),19.8,1119.9,No +3963-RYFNS,Female,0,No,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),116.45,8013.55,No +3198-VELRD,Female,0,Yes,Yes,3,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),84.75,264.85,Yes +8540-ZQGEA,Female,0,Yes,No,54,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.05,1102.4,No +1320-REHCS,Male,1,No,No,52,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,110.75,5832,No +4137-JOPHL,Female,0,No,No,50,Yes,No,Fiber optic,No,No,Yes,Yes,No,Yes,Two year,Yes,Bank transfer (automatic),89.7,4304.5,No +9436-ZBZCT,Male,0,No,No,14,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,89.95,1178.4,Yes +7801-CEDNV,Male,0,Yes,No,27,Yes,No,DSL,Yes,No,No,No,No,No,One year,No,Credit card (automatic),48.7,1421.75,No +2057-BOYKM,Female,1,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,No,Two year,Yes,Bank transfer (automatic),96.6,6827.5,No +3658-QQJYD,Male,0,No,No,62,Yes,No,DSL,Yes,Yes,No,No,Yes,Yes,One year,Yes,Credit card (automatic),74.3,4698.05,No +1803-BGNBD,Female,0,No,No,12,Yes,No,DSL,No,Yes,No,Yes,No,No,Month-to-month,Yes,Electronic check,54.3,654.5,No +0134-XWXCE,Female,1,No,No,44,Yes,No,DSL,No,No,Yes,Yes,Yes,Yes,One year,No,Bank transfer (automatic),74.85,3268.05,No +6950-TWMYB,Male,0,Yes,Yes,54,Yes,No,Fiber optic,No,Yes,No,Yes,No,No,Two year,Yes,Bank transfer (automatic),79.95,4362.05,No +5848-FHRFC,Female,0,No,No,68,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.05,1386.9,No +2243-FNMMI,Male,0,No,No,20,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.4,415.4,No +2511-MORQY,Male,0,Yes,Yes,50,Yes,Yes,DSL,No,No,Yes,No,No,No,One year,No,Bank transfer (automatic),54.9,2614.1,No +5356-KZCKT,Male,0,No,No,58,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),24.45,1513.6,No +9470-XCCEM,Male,0,Yes,Yes,35,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),89.65,3161.6,No +6519-CFDBX,Female,0,No,No,2,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,45.4,80.95,No +3902-MIVLE,Male,0,Yes,Yes,63,Yes,Yes,DSL,Yes,No,Yes,Yes,No,Yes,Two year,No,Mailed check,75.7,4676.7,No +0409-WTMPL,Female,0,Yes,No,58,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),110.65,6526.65,No +8763-KIAFH,Female,0,Yes,Yes,27,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,20.55,583.3,No +3669-WHAFY,Female,0,Yes,No,71,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),115.15,8078.1,No +3055-VTCGS,Female,0,No,No,63,Yes,No,DSL,No,No,Yes,No,No,Yes,One year,No,Credit card (automatic),58.55,3503.5,No +3144-KMTWZ,Male,0,Yes,No,71,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),93.25,6669.45,No +7279-BUYWN,Female,1,No,No,41,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,113.2,4689.5,Yes +7156-MHUGY,Male,1,No,No,13,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,90.5,1201.15,Yes +7198-GLXTC,Male,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,No,Electronic check,79,143.65,Yes +2007-QVGAW,Female,0,Yes,Yes,68,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),19.35,1292.65,No +5207-PLSTK,Male,0,Yes,Yes,1,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Mailed check,48.75,48.75,No +2307-FYNNL,Male,1,No,No,65,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,109.05,7108.2,No +5605-XNWEN,Male,1,Yes,No,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),25,1802.55,No +2155-AMQRX,Female,0,No,No,28,Yes,Yes,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Credit card (automatic),54.9,1505.15,No +6181-AXXYF,Male,0,Yes,Yes,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),24.75,1859.1,No +5091-HFAZW,Female,0,No,No,2,Yes,No,Fiber optic,Yes,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,91.15,168.5,No +0516-VRYBW,Female,0,No,Yes,18,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),20.15,390.85,Yes +2519-LBNQL,Male,1,Yes,No,60,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,104.35,6339.45,No +8623-ULFNQ,Female,1,No,No,26,Yes,Yes,DSL,No,No,No,Yes,No,Yes,Month-to-month,Yes,Electronic check,66.05,1652.4,No +8380-PEFPE,Male,0,No,Yes,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,71.65,71.65,Yes +5687-DKDTV,Female,0,No,No,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.35,77.5,Yes +1568-LJSZU,Male,0,Yes,Yes,68,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),92.2,6392.85,No +7530-HDYDS,Female,0,No,No,38,Yes,No,Fiber optic,No,Yes,Yes,Yes,No,No,Month-to-month,Yes,Credit card (automatic),84.25,3264.5,Yes +7789-HKSBS,Female,1,Yes,No,42,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),105.2,4599.15,No +7416-CKTEP,Female,0,Yes,No,57,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),19.6,1134.25,No +2586-CWXVV,Male,0,Yes,No,54,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,30.4,1621.35,No +3096-IZETN,Female,0,No,No,12,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Bank transfer (automatic),78.1,947.3,Yes +2348-KCJLT,Female,0,Yes,No,44,Yes,No,DSL,Yes,Yes,Yes,No,No,No,One year,Yes,Mailed check,61.5,2722.2,No +8401-EMUWF,Male,0,Yes,Yes,42,Yes,Yes,DSL,Yes,Yes,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),69.4,3058.3,No +4193-IBKSW,Male,0,Yes,Yes,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),24.75,1769.6,No +5377-NDTOU,Female,0,Yes,Yes,71,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Mailed check,91.05,6293.75,No +5922-ABDVO,Female,0,Yes,No,19,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,No,Mailed check,89.65,1761.05,Yes +2474-LCNUE,Female,0,Yes,No,23,Yes,Yes,DSL,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),73.65,1642.75,No +0839-QNXME,Female,0,No,No,30,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.4,578.5,No +3506-OVLKD,Male,0,No,No,35,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),26.2,954.9,No +9172-ANCRX,Female,0,No,No,10,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,98.7,973.25,Yes +6650-VJONK,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),43.85,43.85,No +2178-PMGCJ,Male,0,No,No,22,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,69.7,1490.4,No +7492-TAFJD,Male,0,Yes,Yes,7,No,No phone service,DSL,Yes,Yes,Yes,No,No,No,Two year,No,Mailed check,38.55,280,No +2773-MADBQ,Female,0,No,No,36,No,No phone service,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,Yes,Mailed check,53.1,1901.25,No +6016-LVTJQ,Female,0,Yes,Yes,34,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.65,716.4,No +7860-KSUGX,Male,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,No,No,No,Two year,No,Credit card (automatic),64.45,4720,No +8966-KZXXA,Male,0,Yes,Yes,36,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.1,930.95,No +6910-HADCM,Female,0,No,No,1,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,No,Electronic check,76.35,76.35,Yes +4816-LXZYW,Female,0,No,No,23,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,79.15,1676.95,Yes +9606-PBKBQ,Male,1,Yes,No,32,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,85,2642.05,Yes +5149-QYTTU,Female,0,Yes,Yes,71,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,No,One year,Yes,Credit card (automatic),95.15,6770.85,No +2070-XYMFH,Female,1,No,No,23,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Mailed check,79.35,1835.3,No +2085-BOJKI,Male,0,Yes,No,17,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),96.65,1588.25,No +0817-HSUSE,Male,0,No,No,1,Yes,No,DSL,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,75.5,75.5,No +5442-PPTJY,Male,0,Yes,Yes,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.7,258.35,No +1927-QEWMY,Female,0,Yes,No,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.5,1502.25,No +1663-MHLHE,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.2,19.2,No +5663-QBGIS,Male,1,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Two year,No,Bank transfer (automatic),98.35,6929.4,No +4450-MDZFX,Male,0,Yes,Yes,60,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),74.35,4453.3,No +6701-DHKWQ,Female,0,Yes,Yes,61,No,No phone service,DSL,No,Yes,Yes,Yes,Yes,No,Two year,No,Credit card (automatic),51.35,3244.4,No +7554-AKDQF,Female,0,Yes,No,6,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,45.65,323.45,No +3536-IQCTX,Male,1,Yes,No,32,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,85.3,2661.1,Yes +4911-BANWH,Female,0,No,Yes,31,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),86.55,2697.4,Yes +8496-EJAUI,Male,0,No,No,19,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),73.85,1424.5,Yes +0794-YVSGE,Male,0,Yes,Yes,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.3,1401.15,No +5423-BHIXO,Female,0,No,No,32,Yes,Yes,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,54.2,1739.6,No +6908-VVYHM,Male,0,Yes,No,65,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,90.65,5931,No +2959-EEXWB,Female,0,Yes,Yes,45,No,No phone service,DSL,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),50.9,2333.85,No +1839-UMACK,Male,0,No,No,42,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Electronic check,25.05,949.85,No +3030-YDNRM,Male,0,No,No,8,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.85,572.45,No +7321-KKSDU,Male,0,No,Yes,32,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.5,696.8,No +3402-XRIUO,Female,1,Yes,No,22,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,Month-to-month,Yes,Mailed check,63.55,1381.8,No +3132-TVFDZ,Male,1,Yes,No,57,No,No phone service,DSL,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,44.85,2572.95,Yes +8286-AFUYI,Male,0,No,No,1,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,No,Electronic check,47.95,47.95,No +8080-DDEMJ,Male,1,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,45.1,45.1,Yes +8356-WUAOJ,Female,0,Yes,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,45,45,No +6365-MTGZX,Male,0,No,No,24,Yes,No,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,96,2122.45,Yes +1349-WXNGG,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),20.05,20.05,Yes +8058-DMYRU,Male,1,No,No,54,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,90.05,4931.8,No +9350-ZXYJC,Female,0,No,No,4,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),25.3,116.95,No +6990-YNRIO,Male,0,Yes,Yes,65,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),108.65,6937.95,Yes +8958-JPTRR,Female,0,Yes,No,56,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Electronic check,24.3,1261.7,No +6959-GQEGV,Male,0,No,No,45,Yes,No,DSL,Yes,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,75.95,3273.8,No +3173-WSSUE,Female,0,Yes,Yes,71,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.7,1415.85,No +1265-HVPZB,Male,0,Yes,No,59,Yes,No,DSL,Yes,Yes,Yes,No,Yes,No,One year,No,Credit card (automatic),66.4,3958.2,No +4115-UMJFQ,Male,0,No,No,69,No,No phone service,DSL,No,Yes,Yes,No,No,No,One year,Yes,Bank transfer (automatic),35.75,2492.25,No +7369-TRPFD,Male,0,No,No,19,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,18.8,279.2,No +1098-KFQEC,Female,0,Yes,Yes,55,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.4,1083,No +7190-XHTWJ,Female,0,No,No,38,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.3,755.5,No +0621-TWIEM,Male,0,No,No,10,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,45.55,402.6,Yes +3537-RYBHH,Female,1,Yes,No,47,Yes,Yes,DSL,Yes,Yes,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),67.45,3252,No +2485-ITVKB,Female,0,Yes,No,2,No,No phone service,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,35.1,68.75,Yes +3669-OYSJI,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Credit card (automatic),46.2,46.2,Yes +1612-EOHDH,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,45.15,45.15,Yes +6702-OHFWR,Male,1,No,No,1,No,No phone service,DSL,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,43.3,43.3,Yes +5296-BFCYD,Male,0,Yes,Yes,46,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,20.1,936.85,No +4510-PYUSH,Female,1,No,No,38,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),57.15,2250.65,Yes +9359-JANWS,Female,0,Yes,No,65,Yes,No,DSL,Yes,No,Yes,Yes,No,No,Two year,No,Credit card (automatic),58.9,3857.1,No +7517-SAWMO,Female,0,Yes,No,19,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,73.2,1441.1,Yes +4143-HHPMK,Male,0,No,No,52,Yes,No,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,85.35,4338.6,Yes +3279-DYZQM,Male,0,Yes,Yes,71,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.45,1378.45,No +7054-LGEQW,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,45.95,45.95,Yes +0523-VNGTF,Female,1,No,No,52,No,No phone service,DSL,No,Yes,Yes,Yes,Yes,No,Month-to-month,Yes,Electronic check,50.5,2566.3,No +9575-IWCAZ,Male,0,Yes,No,6,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,25.1,171,No +7105-MXJLL,Female,1,Yes,No,26,Yes,No,DSL,No,No,Yes,No,No,Yes,One year,No,Mailed check,60.7,1597.4,No +7064-FRRSW,Male,1,No,No,48,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,One year,Yes,Electronic check,99,4744.35,No +7940-UQQUG,Female,0,Yes,Yes,64,Yes,Yes,Fiber optic,Yes,No,No,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),104.4,6721.6,No +0923-PNFUB,Female,0,No,No,3,Yes,No,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,No,Electronic check,83.75,247.25,Yes +3961-SXAXY,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),44.05,44.05,No +7010-BRBUU,Male,0,Yes,Yes,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),24.1,1734.65,No +3566-HJGPK,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,45.55,45.55,No +3062-ICYZQ,Female,0,Yes,Yes,51,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,93.8,4539.35,No +9938-PRCVK,Female,0,Yes,Yes,41,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.7,804.25,No +0973-KYVNF,Female,0,Yes,Yes,72,Yes,No,DSL,Yes,Yes,Yes,No,Yes,No,Two year,Yes,Credit card (automatic),70.65,5011.15,No +5129-HHMZC,Female,0,Yes,No,43,Yes,Yes,DSL,Yes,Yes,No,Yes,Yes,Yes,Two year,No,Credit card (automatic),86.45,3574.5,No +9637-CDTKZ,Male,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),114.1,8086.4,No +3946-JEWRQ,Male,0,Yes,No,47,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,One year,Yes,Credit card (automatic),95.2,4563,No +7873-CVMAW,Male,0,No,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),88.55,6362.35,No +0463-WZZKO,Male,0,No,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),20.75,67.1,No +3494-JCHRQ,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.05,70.05,Yes +6474-FVJLC,Male,0,No,No,2,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,86,165.45,Yes +4524-QCSSM,Male,0,No,No,26,No,No phone service,DSL,Yes,Yes,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),44.65,1156.55,No +5832-EXGTT,Male,0,Yes,Yes,29,Yes,No,DSL,Yes,No,No,No,No,Yes,Month-to-month,Yes,Mailed check,60.2,1834.15,No +8840-DQLGN,Female,1,Yes,No,35,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,No,Month-to-month,Yes,Bank transfer (automatic),100.5,3653.35,Yes +2039-JONDJ,Male,0,No,No,27,Yes,No,DSL,Yes,Yes,No,No,No,No,One year,No,Bank transfer (automatic),55.45,1477.65,No +7217-JYHOQ,Male,0,Yes,Yes,24,Yes,No,DSL,Yes,Yes,No,Yes,No,Yes,Month-to-month,Yes,Credit card (automatic),70.3,1706.45,No +6695-FRVEC,Male,0,Yes,Yes,67,Yes,No,DSL,Yes,No,Yes,Yes,No,No,Two year,Yes,Bank transfer (automatic),60.4,3953.7,No +4547-LYTDD,Female,0,No,No,16,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,72.65,1194.3,Yes +9894-QMIMJ,Female,0,No,No,23,Yes,No,DSL,No,Yes,Yes,No,No,No,One year,No,Bank transfer (automatic),55.8,1327.85,No +8069-YQQAJ,Male,0,No,No,14,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,31.1,419.7,No +6770-XUAGN,Female,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,21,21,Yes +4193-ORFCL,Female,1,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,45.1,45.1,Yes +1636-NTNCO,Male,1,No,No,4,No,No phone service,DSL,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),50.95,207.35,No +3466-WAESX,Male,0,No,Yes,16,Yes,Yes,DSL,Yes,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,69.1,1083.7,No +9281-PKKZE,Female,0,Yes,No,46,No,No phone service,DSL,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,43.95,2007.85,No +3638-VBZTA,Male,0,No,Yes,68,Yes,Yes,DSL,Yes,Yes,No,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),86.5,5882.75,No +7459-IMVYU,Male,0,No,No,38,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,No,Month-to-month,No,Electronic check,69.95,2657.55,No +7776-QWNFX,Male,1,Yes,No,30,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),50.4,1527.5,Yes +6689-TCZHQ,Female,1,No,No,5,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,78.95,378.4,Yes +8563-OYMQY,Male,0,No,No,17,Yes,No,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Credit card (automatic),90.95,1612.2,No +0754-EEBDC,Male,0,Yes,Yes,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.9,76.65,No +5777-ZPQNC,Female,0,No,No,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Electronic check,20.15,260.7,No +1951-IEYXM,Male,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),90.6,6441.85,No +3318-NMQXL,Male,0,No,No,3,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,92,266.8,No +3143-ILDAL,Male,0,No,No,56,Yes,Yes,Fiber optic,No,Yes,No,Yes,No,Yes,Month-to-month,Yes,Electronic check,94.45,5124.6,Yes +1022-RKXDR,Female,0,No,No,41,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,24.85,962.25,No +2361-FJWNO,Male,0,No,No,40,No,No phone service,DSL,No,Yes,No,Yes,No,No,One year,No,Credit card (automatic),36,1382.9,No +2272-UOINI,Female,0,No,No,7,Yes,No,DSL,Yes,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,78.5,571.05,No +8232-UTFOZ,Male,0,No,No,69,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.95,1399.35,No +3750-YHRYO,Male,0,Yes,Yes,7,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.65,150,No +6637-KYRCV,Female,0,Yes,Yes,5,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,30.5,167.2,No +5668-MEISB,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,No,Two year,No,Credit card (automatic),106.1,7657.4,No +0129-QMPDR,Male,0,Yes,Yes,44,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),20.5,865.05,No +7188-CBBBA,Female,0,No,No,65,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,One year,Yes,Electronic check,95.5,6153.85,No +5356-CSVSQ,Female,0,No,No,3,Yes,Yes,DSL,No,No,No,Yes,Yes,No,Month-to-month,No,Electronic check,64.6,174.2,No +3221-CJMSG,Male,0,No,No,24,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Credit card (automatic),51.1,1269.6,No +4720-VSTSI,Female,0,No,No,44,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),84.8,3862.55,Yes +3219-JQRSL,Female,1,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),89.1,6352.4,No +2801-NISEI,Male,0,No,No,24,Yes,No,DSL,Yes,No,No,Yes,No,No,Month-to-month,No,Electronic check,54.95,1348.5,No +3946-MHCZW,Male,0,No,No,1,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,No,Mailed check,50.9,50.9,Yes +4623-ZKHLY,Male,0,Yes,No,22,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Bank transfer (automatic),20.45,471.55,No +6732-VAILE,Male,0,Yes,Yes,70,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),85.95,5931.75,No +8201-AAXCB,Male,0,Yes,Yes,25,Yes,Yes,DSL,No,No,No,No,Yes,No,Month-to-month,No,Electronic check,60.35,1404.65,No +7696-CFTAT,Male,0,Yes,Yes,37,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.8,726.1,No +1845-CSBRZ,Female,1,Yes,Yes,22,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,No,Bank transfer (automatic),85.35,1961.6,No +2123-VSCOT,Female,0,Yes,Yes,59,Yes,Yes,DSL,No,No,Yes,Yes,Yes,No,Two year,Yes,Bank transfer (automatic),72.1,4194.85,No +6651-AZVTJ,Male,0,Yes,Yes,49,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.8,4872.45,Yes +4566-GOLUK,Male,0,Yes,Yes,47,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),107.35,5118.95,Yes +2484-DGXPZ,Female,0,Yes,Yes,31,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.55,658.95,Yes +2018-QKYGT,Male,0,Yes,Yes,1,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,81.05,81.05,No +2792-VPPET,Male,0,No,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,20.5,76.95,No +7409-JURKQ,Female,0,Yes,No,53,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),111.8,5809.75,No +3247-MHJKM,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.2,20.2,No +1964-SVLEA,Male,0,No,No,20,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,19.7,415.9,No +4587-NUKOX,Female,0,No,No,3,Yes,No,Fiber optic,Yes,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,79.1,246.5,Yes +7297-DVYGA,Female,0,No,No,51,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),19.85,996.95,No +2239-CGBUZ,Female,0,Yes,No,51,Yes,No,DSL,Yes,Yes,No,Yes,No,No,One year,Yes,Bank transfer (automatic),60.5,3145.15,No +0854-UYHZD,Female,0,Yes,Yes,13,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.55,265.3,No +7243-LCGGZ,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.9,20.9,No +8267-KFGYD,Male,0,No,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,21.05,21.05,No +4890-VMUAV,Male,0,No,No,63,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,No,One year,No,Electronic check,71.5,4576.3,No +9261-WDCAF,Male,0,No,No,3,Yes,No,DSL,No,No,No,No,No,Yes,Month-to-month,No,Mailed check,54.65,189.1,No +3764-MNMOI,Male,0,No,No,46,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.2,908.15,No +7442-YGZFK,Male,0,No,No,1,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),49.8,49.8,No +0420-BWTPW,Male,0,No,Yes,8,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,25.5,215.2,Yes +8229-BUJHX,Female,0,Yes,Yes,71,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.5,1500.95,No +7449-HVPIV,Male,0,Yes,Yes,55,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Credit card (automatic),90.4,5099.15,No +5504-WSIUR,Female,0,No,No,70,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,No,No,One year,Yes,Bank transfer (automatic),90.25,6385.95,No +8183-ONMXC,Female,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,80.75,159.45,Yes +8466-PZBLH,Male,0,Yes,Yes,67,Yes,Yes,Fiber optic,Yes,No,No,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),104.6,6885.75,No +9614-RMGHA,Male,0,Yes,No,65,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),91.85,5940.85,Yes +8735-IJJEG,Male,0,Yes,No,14,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,No,Credit card (automatic),50.2,668.85,No +0564-MUUQK,Female,0,Yes,Yes,20,Yes,Yes,Fiber optic,No,No,Yes,Yes,No,Yes,Month-to-month,Yes,Bank transfer (automatic),95.5,1916.2,No +5054-IEXZT,Male,0,No,Yes,1,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,75.35,75.35,Yes +5834-ASPWA,Male,0,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.45,75.45,Yes +0701-RFGFI,Female,0,Yes,Yes,49,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),95.4,4613.95,No +0019-EFAEP,Female,0,No,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,No,Two year,Yes,Bank transfer (automatic),101.3,7261.25,No +5619-PTMIK,Female,0,Yes,No,46,Yes,Yes,DSL,Yes,No,No,No,No,No,Month-to-month,No,Electronic check,53.1,2459.8,No +3737-XBQDD,Male,0,No,No,24,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),84.85,2048.8,No +5882-CMAZQ,Female,0,Yes,Yes,5,No,No phone service,DSL,No,Yes,No,Yes,No,No,Month-to-month,No,Electronic check,34.25,163.55,No +5846-QFDFI,Female,0,Yes,Yes,33,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,No,No,Month-to-month,No,Credit card (automatic),88.6,2888.7,No +4445-KWOKW,Female,0,No,No,42,Yes,Yes,DSL,Yes,Yes,No,No,No,No,One year,Yes,Bank transfer (automatic),60.15,2421.6,No +3511-APPBJ,Male,0,No,No,23,Yes,No,Fiber optic,Yes,No,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),99.95,2292.75,No +7967-HYCDE,Male,0,No,No,8,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),70.7,553.4,No +2430-RRYUW,Male,0,No,No,66,Yes,No,DSL,Yes,Yes,No,No,No,No,One year,Yes,Mailed check,54.8,3465.7,No +3948-XHGNA,Male,0,No,No,24,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),49.55,1210.4,Yes +3723-BFBGR,Male,1,No,No,24,Yes,Yes,DSL,No,Yes,No,No,No,No,Month-to-month,No,Credit card (automatic),54.8,1291.3,No +0565-IYCGT,Male,0,No,No,69,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,One year,Yes,Credit card (automatic),78.6,5356.45,Yes +5447-WZAFP,Female,0,No,No,53,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Mailed check,100.3,5200.8,No +5110-CHOPY,Female,0,No,No,60,No,No phone service,DSL,Yes,No,Yes,No,Yes,Yes,Two year,No,Electronic check,53.6,3237.05,No +5445-UTODQ,Female,0,Yes,No,7,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,81.1,576.65,Yes +4425-OWHWB,Female,0,No,No,20,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Credit card (automatic),19.35,433.75,No +7892-QVYKW,Female,0,Yes,Yes,23,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,85.6,1868.4,No +9675-ICXCT,Male,0,Yes,Yes,72,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,80.8,5728.55,No +1024-VRZHF,Male,0,Yes,No,11,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.95,825.7,Yes +4703-MQYKT,Male,0,No,No,21,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.6,390.4,No +9497-QCMMS,Male,1,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,93.55,93.55,Yes +5692-ICXLW,Male,1,No,No,31,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,90.7,2845.15,No +0602-DDUML,Female,0,No,No,57,Yes,No,DSL,No,Yes,Yes,Yes,Yes,No,Two year,No,Mailed check,69.75,3894.4,No +2208-MPXIO,Female,0,Yes,Yes,45,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),20,886.4,No +1960-UYCNN,Male,0,No,No,10,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,95.25,1021.55,No +0348-SDKOL,Female,0,Yes,No,58,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),102.1,5885.4,Yes +3190-FZATL,Male,0,No,Yes,14,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.95,268.4,No +7336-RLLRH,Male,0,Yes,No,27,Yes,Yes,DSL,Yes,No,No,Yes,Yes,Yes,One year,No,Mailed check,80.85,2204.35,No +4373-MAVJG,Female,0,Yes,Yes,14,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),90.9,1259,Yes +8901-HJXTF,Female,0,Yes,Yes,12,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,No,Mailed check,29.2,309.1,Yes +7710-JSYOA,Female,0,Yes,Yes,69,Yes,Yes,Fiber optic,No,Yes,No,Yes,No,Yes,Two year,Yes,Bank transfer (automatic),93.3,6398.05,No +5419-KLXBN,Female,0,Yes,Yes,25,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),89.15,2257.75,Yes +3424-NMNBO,Male,1,Yes,No,58,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,108.85,6287.25,Yes +9885-MFVSU,Female,0,Yes,Yes,35,No,No phone service,DSL,Yes,No,No,Yes,Yes,No,Two year,Yes,Credit card (automatic),46.35,1662.05,No +4514-GFCFI,Female,1,No,No,16,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,84.75,1350.15,Yes +0607-MVMGC,Male,0,Yes,Yes,45,Yes,Yes,DSL,No,Yes,Yes,No,Yes,Yes,One year,No,Credit card (automatic),78.75,3600.65,No +3365-SAIGS,Female,0,No,No,17,Yes,No,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,83.55,1329.15,No +9828-AOQLM,Female,0,Yes,Yes,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,45.7,45.7,Yes +8022-BECSI,Male,0,No,No,22,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.6,422.5,No +8000-REIQB,Female,1,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.95,69.95,Yes +9993-LHIEB,Male,0,Yes,Yes,67,Yes,No,DSL,Yes,No,Yes,Yes,No,Yes,Two year,No,Mailed check,67.85,4627.65,No +0266-CLZKZ,Female,0,Yes,Yes,67,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),105.65,6717.9,No +7615-ESMYF,Female,0,Yes,No,2,No,No phone service,DSL,No,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,44.6,97.1,Yes +3858-VOBET,Male,0,No,No,23,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.95,1710.45,Yes +7020-OZKXZ,Female,1,No,No,9,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,No,Credit card (automatic),75.5,637.4,No +3977-QCRSL,Female,0,No,No,5,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.15,117.95,No +0017-DINOC,Male,0,No,No,54,No,No phone service,DSL,Yes,No,No,Yes,Yes,No,Two year,No,Credit card (automatic),45.2,2460.55,No +1447-PJGGA,Female,0,No,No,57,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Two year,Yes,Electronic check,95.25,5464.65,Yes +8565-CLBZW,Male,0,No,No,24,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Mailed check,89.85,2165.05,Yes +9139-WQQDY,Female,0,Yes,Yes,49,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,One year,No,Mailed check,100.45,4941.8,Yes +0224-HJAPT,Male,0,No,No,5,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,47.15,223.15,Yes +8086-OVPWV,Male,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,80.2,181.1,Yes +9430-FRQOC,Female,0,No,Yes,4,Yes,Yes,Fiber optic,No,No,Yes,Yes,No,No,Month-to-month,Yes,Mailed check,87.1,341.45,Yes +7639-OPLNG,Male,0,Yes,Yes,70,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,Yes,Bank transfer (automatic),79.25,5731.85,No +3074-GQWYX,Male,0,No,No,5,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),75.9,357.75,Yes +1492-QGCLU,Male,0,Yes,Yes,53,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Month-to-month,No,Electronic check,85.7,4616.1,No +6845-RGTYS,Female,0,Yes,No,47,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,98.75,4533.7,Yes +7328-OWMOM,Female,0,No,Yes,31,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),20.1,589.25,No +4418-LZMSV,Male,0,Yes,Yes,13,Yes,No,DSL,No,Yes,Yes,Yes,No,No,Month-to-month,No,Bank transfer (automatic),61.8,750.1,No +5155-AZQPB,Female,0,Yes,Yes,28,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,49.9,1410.25,No +8861-HGGKB,Female,0,No,No,10,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,86.45,830.85,Yes +1087-GRUYI,Male,0,Yes,No,38,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.4,743.5,No +7065-YUNRY,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,45.3,45.3,Yes +7694-VLBWQ,Male,0,Yes,No,67,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,No,Electronic check,104.1,7040.85,Yes +2546-KZAAT,Male,0,Yes,No,52,Yes,No,DSL,Yes,Yes,No,No,Yes,Yes,One year,Yes,Mailed check,75.4,3865.45,No +0181-RITDD,Male,0,Yes,Yes,62,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Mailed check,108.15,6825.65,No +5989-PGKJB,Female,0,No,No,16,Yes,No,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,86.25,1340.1,No +4795-KTRTH,Female,1,Yes,No,5,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,81,371.65,Yes +8272-ONJLV,Male,0,No,No,12,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,One year,No,Electronic check,95.7,1184,No +1488-PBLJN,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),116.85,8477.7,No +0308-GIQJT,Male,1,No,No,71,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,One year,No,Bank transfer (automatic),105.75,7382.85,No +3778-FOAQW,Female,0,Yes,No,24,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.15,456.85,No +4452-ROHMO,Female,0,No,No,15,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.6,331.6,No +6481-OGDOO,Male,0,Yes,No,67,Yes,No,Fiber optic,Yes,Yes,No,No,No,Yes,One year,Yes,Credit card (automatic),90.6,6056.15,Yes +3090-LETTY,Male,0,No,Yes,2,Yes,Yes,DSL,Yes,Yes,No,No,No,No,Month-to-month,No,Bank transfer (automatic),60.95,134.6,No +5349-AZPEW,Female,0,Yes,Yes,5,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,25.05,125.5,No +3753-TSEMP,Female,0,Yes,No,15,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,88.15,1390.6,Yes +8305-VHZBZ,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.2,20.2,Yes +9720-JJJOR,Male,0,Yes,Yes,41,Yes,No,DSL,Yes,Yes,Yes,No,No,No,One year,Yes,Bank transfer (automatic),60.3,2511.3,No +8100-HZZLJ,Female,0,No,Yes,43,Yes,No,DSL,Yes,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,63.95,2737.05,No +8775-ERLNB,Male,1,Yes,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,74.3,74.3,No +8309-IEYJD,Female,1,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,70.6,70.6,No +9172-JITSM,Female,0,Yes,Yes,26,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,90.8,2361.8,Yes +6298-QDFNH,Male,0,No,No,22,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,79.35,1730.35,Yes +7398-HPYZQ,Male,0,Yes,No,71,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),90.55,6404,No +3546-GHEAE,Male,0,No,No,7,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.45,165.35,No +7361-YPXFS,Female,1,No,No,28,Yes,Yes,DSL,No,Yes,Yes,Yes,No,No,Month-to-month,No,Bank transfer (automatic),64.45,1867.6,No +6557-BZXLQ,Male,1,No,No,16,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,69.65,1043.3,No +2550-QHZGP,Male,0,No,No,7,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.5,128.6,No +7519-JTWQH,Female,0,No,No,69,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),110.5,7455.45,No +2538-OIMXF,Female,0,No,Yes,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,24.7,24.7,No +8543-MSDMF,Male,0,No,No,3,Yes,No,DSL,Yes,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,77.4,206.15,No +9961-JBNMK,Male,1,No,No,21,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),96.8,2030.3,Yes +1170-SASML,Female,0,Yes,No,69,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),85.4,5869.4,No +4872-JCVCA,Female,0,Yes,No,71,No,No phone service,DSL,Yes,Yes,Yes,Yes,No,No,Two year,Yes,Bank transfer (automatic),47.6,3377.8,No +5346-BZCHP,Female,0,Yes,Yes,69,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.4,1346.2,No +2038-LLMLM,Female,0,No,No,48,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,103.85,4946.05,No +6173-ITPWD,Male,0,Yes,No,47,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),83.35,4065,Yes +9734-UYXQI,Female,0,No,No,2,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,49.4,106.55,Yes +1216-BGTSP,Male,0,No,No,45,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),108.45,4964.7,No +4138-NAXED,Male,0,No,No,51,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,No,Bank transfer (automatic),81,4085.75,No +2189-UXTKY,Female,0,Yes,No,22,Yes,Yes,DSL,Yes,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,79.2,1742.75,Yes +0744-BIKKF,Male,0,No,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),86.65,6224.8,No +7483-IQWIB,Male,0,Yes,Yes,37,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,92.95,3415.25,No +5248-KWLAR,Male,0,Yes,Yes,71,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Electronic check,90.35,6325.25,No +4958-GZWIY,Male,0,Yes,Yes,7,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,No,Electronic check,48.7,340.25,Yes +7996-MHXLW,Female,0,No,No,66,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),25.15,1683.6,No +7833-PKIHD,Male,0,Yes,Yes,51,Yes,No,DSL,Yes,No,No,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),76.4,3966.3,No +7061-OVMIM,Female,0,Yes,Yes,30,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),19.55,608.5,No +5153-RTHKF,Female,0,No,No,34,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,No,Electronic check,85.35,2896.6,No +1852-QSWCD,Male,0,Yes,Yes,64,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,24.8,1514.85,No +4832-VRBMR,Male,1,Yes,No,65,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),103.15,6792.45,No +9079-LWTFD,Male,0,No,No,47,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,No,Month-to-month,No,Mailed check,100.75,4669.2,No +6356-ELRKD,Female,0,No,No,1,Yes,No,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.6,95.6,Yes +8624-GIOUT,Female,0,No,No,49,Yes,Yes,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),59.75,2934.3,Yes +3392-EHMNK,Female,0,Yes,Yes,67,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,No,Two year,No,Credit card (automatic),94.1,6302.8,No +5986-WWXDV,Male,0,No,Yes,39,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),19.35,779.2,No +3061-BCKYI,Male,0,No,No,14,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.9,283.75,No +6179-GJPSO,Female,1,No,No,43,Yes,No,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),108.15,4600.7,Yes +7901-TBKJX,Male,1,No,No,56,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,101.05,5594,No +7228-PAQPD,Female,0,No,No,14,Yes,No,DSL,No,No,No,Yes,No,Yes,One year,No,Credit card (automatic),59.1,772.85,No +3177-LASXD,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,71.35,71.35,Yes +7746-QYVCO,Male,0,Yes,Yes,16,Yes,No,DSL,Yes,Yes,No,No,No,No,One year,Yes,Mailed check,55.85,857.8,No +5804-HYIEZ,Male,0,Yes,Yes,70,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,106.05,7554.05,No +9919-FZDED,Male,1,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Credit card (automatic),84.1,5981.65,No +5934-TSSAU,Female,0,Yes,Yes,23,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),75.3,1702.9,No +3486-KHMLI,Male,0,No,Yes,21,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,24.7,467.15,No +4897-QSUYC,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.15,20.15,Yes +1084-UQCHV,Male,0,No,Yes,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),69.75,69.75,Yes +8290-YWKHZ,Female,1,Yes,No,32,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,93.2,2931,Yes +2955-BJZHG,Male,0,Yes,Yes,17,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,No,Electronic check,80.85,1400.85,Yes +3806-DXQOM,Female,0,No,No,4,No,No phone service,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,33.65,137.85,Yes +6784-XYJAE,Female,0,No,No,36,Yes,Yes,DSL,No,No,Yes,No,No,No,One year,No,Electronic check,55.8,1941.5,No +3933-DQPWX,Female,0,No,No,50,No,No phone service,DSL,No,Yes,Yes,Yes,No,No,Two year,No,Credit card (automatic),39.7,1932.75,No +6661-EIPZC,Female,0,Yes,Yes,48,No,No phone service,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Credit card (automatic),29.5,1423.05,No +8957-THMOA,Female,0,No,Yes,50,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.15,970.85,No +2251-PYLPB,Male,0,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,No,Credit card (automatic),79.55,5810.9,No +5555-RNPGT,Male,0,No,Yes,10,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),24.8,223.9,No +1057-FOGLZ,Female,0,No,No,18,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.65,391.7,No +9300-RENDD,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,79.95,79.95,Yes +0761-AETCS,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,19.3,19.3,Yes +8087-LGYHQ,Male,0,No,No,9,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.05,811.65,No +4137-BTIKL,Male,0,No,No,2,Yes,Yes,Fiber optic,Yes,No,No,No,No,Yes,Month-to-month,No,Mailed check,90.75,174.75,No +2190-BCXEC,Female,0,Yes,No,40,Yes,Yes,Fiber optic,No,No,No,Yes,No,No,Month-to-month,Yes,Credit card (automatic),78.85,3126.85,No +6227-FBDXH,Male,0,Yes,No,69,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,One year,No,Bank transfer (automatic),99.5,6841.45,No +2153-MREFK,Female,0,Yes,No,37,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,No,Yes,One year,Yes,Electronic check,99.2,3754.6,Yes +2911-WDXMV,Male,0,No,Yes,18,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),80.55,1406.65,No +7206-PQBBZ,Male,1,Yes,No,11,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.2,834.7,No +3106-ULWFW,Female,0,Yes,No,8,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),85.2,627.4,Yes +0925-VYDLG,Female,0,No,No,3,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,75.25,242,Yes +4547-FZJWE,Male,0,Yes,Yes,55,Yes,No,DSL,Yes,No,No,No,No,Yes,One year,No,Credit card (automatic),59.45,3157,No +7422-WNBTY,Male,0,Yes,No,33,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,93.35,3092,No +0842-IWYCP,Female,0,No,No,46,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),44.95,2168.9,No +3521-HTQTV,Male,0,No,No,34,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),26.1,980.35,No +3744-ZBHON,Female,0,No,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,20.2,65.95,No +3373-DIUUN,Male,0,Yes,Yes,30,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,21.25,711.9,No +8383-SGHJU,Female,0,No,No,33,Yes,Yes,DSL,Yes,No,No,Yes,No,No,One year,No,Electronic check,59.4,1952.8,No +7607-QKKTJ,Male,0,Yes,Yes,45,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,One year,Yes,Credit card (automatic),95,4368.85,No +7707-PYBBH,Male,0,No,No,40,Yes,No,DSL,Yes,Yes,No,Yes,No,No,Month-to-month,Yes,Mailed check,61.9,2647.1,No +8984-HPEMB,Female,0,No,No,71,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,118.65,8477.6,No +4349-GFQHK,Male,0,No,No,1,Yes,Yes,DSL,No,No,Yes,No,No,No,Month-to-month,No,Electronic check,54.35,54.35,Yes +4139-DETXS,Female,0,Yes,Yes,72,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),64.45,4528,No +9779-DPNEJ,Female,0,Yes,Yes,22,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,80.15,1790.65,No +9805-FILKB,Male,0,Yes,Yes,46,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),20.2,845.6,No +5793-YOLJN,Female,0,Yes,Yes,55,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,21,1210.3,No +0673-IGUQO,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.45,20.45,No +4123-FCVCB,Female,0,No,No,12,Yes,Yes,DSL,No,No,No,Yes,Yes,Yes,One year,Yes,Mailed check,75.85,854.45,No +8819-IMISP,Male,0,No,No,31,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,80.45,2429.1,No +7802-EFKNY,Male,0,Yes,No,5,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,24.95,100.4,Yes +8311-UEUAB,Female,0,Yes,Yes,67,Yes,Yes,DSL,Yes,No,No,No,Yes,Yes,Two year,Yes,Electronic check,75.5,5229.45,No +5858-EAFCZ,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,44.45,44.45,No +8035-BUYVG,Male,0,Yes,No,40,No,No phone service,DSL,Yes,Yes,Yes,No,No,No,One year,Yes,Electronic check,42.35,1716.45,Yes +1163-ONYEY,Male,0,Yes,Yes,41,Yes,Yes,DSL,Yes,Yes,Yes,No,Yes,No,Month-to-month,Yes,Credit card (automatic),74.55,3023.55,No +9787-XVQIU,Male,0,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.3,75.3,Yes +8945-MUQUF,Male,0,No,No,51,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,No,One year,Yes,Electronic check,94.8,4837.6,Yes +5656-MJEFC,Male,0,Yes,Yes,42,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,No,Two year,No,Credit card (automatic),48.15,2032.3,No +6082-OQFBA,Male,0,Yes,Yes,23,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.65,436.9,No +8051-HJRLT,Female,1,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.55,70.55,Yes +8974-OVACP,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.15,20.15,No +4010-YLMVT,Female,0,No,No,56,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),106.6,5893.95,No +1379-FRVEB,Male,0,No,Yes,15,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,91,1430.05,No +8612-GXIDD,Male,0,Yes,Yes,12,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),25.4,313,No +6288-CHQJB,Female,0,Yes,Yes,54,Yes,No,DSL,Yes,No,Yes,Yes,No,Yes,Two year,No,Bank transfer (automatic),69.95,3871.85,No +8160-HOWOX,Female,0,No,No,7,Yes,No,DSL,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,66.85,458.1,No +3023-GFLBR,Female,0,Yes,Yes,33,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Credit card (automatic),86.15,2745.7,Yes +6648-INWPS,Male,0,Yes,Yes,16,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,20.15,341.35,No +4223-BKEOR,Female,0,No,Yes,21,Yes,No,DSL,Yes,No,Yes,No,No,Yes,One year,No,Mailed check,64.85,1336.8,No +4079-VTGLK,Male,1,Yes,No,30,Yes,Yes,DSL,No,No,Yes,No,Yes,Yes,Two year,No,Electronic check,74.85,2181.75,No +1763-WQFUK,Male,0,No,No,3,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Mailed check,50.5,147.75,No +1391-UBDAR,Male,0,No,No,11,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,No,Electronic check,72.9,818.45,No +8894-JVDCV,Female,0,No,No,62,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),115.05,7133.45,No +2023-VQFDL,Male,0,No,No,18,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,19,348.8,No +1345-GKDZZ,Male,0,No,Yes,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.55,128.6,No +2014-MKGMH,Female,0,No,No,46,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,101.1,4674.4,No +5628-FCGYG,Male,0,No,No,21,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,84.1,1737.45,No +2560-WBWXF,Male,0,No,No,68,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),24.15,1498.85,No +0248-IPDFW,Female,0,No,No,1,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,50.1,50.1,No +7978-DKUQH,Female,0,Yes,No,25,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,74.6,1797.75,No +4335-UPJSI,Female,0,No,Yes,24,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.75,498.1,No +0524-IAVZO,Female,0,Yes,No,30,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,85,2624.25,Yes +2737-YNGYW,Female,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,80.55,184.1,Yes +1784-EZDKJ,Male,0,Yes,No,51,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),106.8,5498.8,No +9297-FVVDH,Female,0,Yes,Yes,57,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,84.5,4845.4,No +8007-YYPWD,Female,0,No,No,15,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),25.05,369.1,No +7101-HRBLJ,Female,0,Yes,Yes,72,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),83.7,6096.9,No +5159-YFPKQ,Female,0,No,No,2,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,75.8,160.75,Yes +6635-CPNUN,Male,0,Yes,No,28,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,No,Credit card (automatic),96.6,2684.35,No +4021-RQSNY,Male,1,Yes,No,29,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,98.5,3004.15,Yes +5453-YBTWV,Male,0,Yes,Yes,70,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,No,Two year,Yes,Credit card (automatic),101.1,6994.8,No +5039-LZRQT,Female,0,No,No,13,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.2,273.25,No +2931-VUVJN,Female,1,Yes,No,59,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,No,One year,Yes,Electronic check,94.05,5483.9,No +9061-TIHDA,Male,1,Yes,No,13,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.25,1233.65,Yes +8699-ASUFO,Male,1,Yes,No,7,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,74.4,527.9,Yes +6418-PIQSP,Female,0,Yes,No,62,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Mailed check,81,4985.9,No +8220-OCUFY,Female,0,No,No,21,Yes,No,DSL,Yes,No,Yes,Yes,No,No,One year,Yes,Electronic check,60.25,1258.35,No +3995-WFCSM,Female,0,No,No,2,Yes,No,DSL,No,No,Yes,No,No,Yes,Month-to-month,No,Electronic check,60.85,111.4,No +1895-QTKDO,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Credit card (automatic),43.95,43.95,No +2038-OEQZH,Male,0,No,No,4,Yes,No,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,No,Electronic check,86.05,308.1,No +1178-PZGAB,Female,0,No,No,19,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),20.25,383.65,No +7927-AUXBZ,Female,0,No,No,30,Yes,No,Fiber optic,No,No,No,Yes,Yes,No,Month-to-month,No,Electronic check,85.15,2555.9,Yes +2626-VEEWG,Male,0,Yes,Yes,67,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),19.4,1284.2,No +2878-RMWXY,Male,1,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,Yes,Two year,Yes,Credit card (automatic),102.65,7550.3,No +1657-DYMBM,Male,0,Yes,No,53,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.9,1110.05,No +7311-MQJCH,Female,0,No,No,5,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Electronic check,19.55,99.6,No +7375-WMVMT,Male,1,Yes,No,71,Yes,No,Fiber optic,No,Yes,Yes,Yes,No,Yes,Two year,Yes,Credit card (automatic),95.5,6707.15,No +1136-XGEQU,Female,0,Yes,Yes,50,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),84.15,4164.4,No +2530-FMFXO,Male,0,Yes,Yes,56,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,103.2,5873.75,No +6844-DZKRF,Male,0,No,No,2,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Credit card (automatic),50.2,109.25,No +4695-WJZUE,Female,1,No,No,2,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,88.55,179.25,Yes +7619-ODSGN,Male,0,Yes,Yes,24,Yes,Yes,DSL,Yes,No,No,No,No,No,Month-to-month,No,Electronic check,54.75,1338.15,Yes +5970-GHJAW,Male,0,Yes,Yes,46,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.95,862.4,No +8879-XUAHX,Male,0,Yes,No,71,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,116.25,8564.75,No +3689-MOZGR,Female,0,No,No,29,No,No phone service,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,31.2,926.2,No +4195-PNGZS,Male,0,Yes,Yes,69,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),24.45,1718.2,No +5003-XZWWO,Male,0,Yes,No,71,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),84.2,5956.85,No +3988-RQIXO,Female,1,No,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,91.3,91.3,Yes +7622-FWGEW,Male,1,Yes,No,56,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),85.65,4824.45,No +6922-NCEDI,Male,0,No,Yes,56,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,21.2,1238.65,No +2514-GINMM,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,79.5,79.5,Yes +9891-NQDBD,Female,0,Yes,No,28,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,25.55,672.2,No +6131-IUNXN,Female,0,Yes,Yes,19,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.2,382.2,No +8548-AWOFC,Male,0,Yes,No,66,Yes,Yes,DSL,No,No,No,Yes,No,Yes,Month-to-month,No,Electronic check,63.85,4264.6,No +9798-DRYDS,Female,0,Yes,Yes,17,Yes,Yes,DSL,No,No,Yes,Yes,No,No,One year,Yes,Mailed check,61.95,1070.7,No +8532-UEFWH,Male,0,Yes,Yes,52,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.75,1345.85,No +6296-DDOOR,Female,0,No,No,19,Yes,No,DSL,No,Yes,No,No,Yes,No,One year,No,Electronic check,58.2,1045.25,No +7951-VRDVK,Female,0,No,No,36,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,One year,No,Bank transfer (automatic),85.85,3003.55,No +5931-FLJJF,Male,1,Yes,No,7,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,70.1,467.55,Yes +4815-YOSUK,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,Yes,One year,Yes,Credit card (automatic),104.9,7537.5,No +2659-VXMWZ,Male,0,Yes,Yes,67,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,111.3,7482.1,Yes +0380-NEAVX,Male,1,No,No,34,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,99.85,3343.15,No +3207-OYBWH,Male,1,Yes,No,57,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),95.25,5427.05,Yes +4285-GYRQC,Female,0,Yes,No,7,Yes,No,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,86.25,587.1,Yes +7216-EWTRS,Female,1,Yes,No,1,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.8,100.8,Yes +4365-MSDYN,Male,0,Yes,No,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Bank transfer (automatic),19.55,161.15,No +7036-TYDEC,Female,0,No,No,69,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Two year,No,Electronic check,104,7028.5,No +5802-ADBRC,Female,0,Yes,No,50,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,One year,Yes,Mailed check,104.4,5232.9,No +8076-FEZKJ,Male,0,No,No,10,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.5,225.85,No +5197-YPYBZ,Female,0,Yes,Yes,12,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.25,274.7,No +8337-MSSXB,Female,0,No,No,14,Yes,No,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,86.3,1180.95,Yes +4312-GVYNH,Female,0,Yes,No,70,No,No phone service,DSL,Yes,No,Yes,Yes,No,Yes,Two year,Yes,Bank transfer (automatic),49.85,3370.2,No +8495-LJDFO,Female,1,No,No,64,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),108.95,7111.3,No +0839-JTCUD,Female,0,Yes,Yes,66,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),89.9,5958.85,No +5494-WOZRZ,Female,0,Yes,Yes,71,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),82,5999.85,No +1302-UHBDD,Male,1,No,No,20,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,89.95,1648.45,No +2234-EOFPT,Male,0,Yes,No,72,Yes,No,DSL,Yes,Yes,No,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),79.35,5753.25,No +8619-IJNDK,Female,0,Yes,Yes,71,Yes,No,DSL,Yes,Yes,Yes,Yes,No,No,Two year,No,Credit card (automatic),64.05,4492.9,No +8378-LKJAF,Male,0,Yes,Yes,38,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),101.15,3956.7,No +8182-BJDSI,Female,0,No,No,28,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,89.95,2625.55,Yes +2528-HFYZX,Male,1,Yes,No,17,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,76.45,1233.4,Yes +1153-GNOLC,Male,0,No,No,33,No,No phone service,DSL,No,Yes,No,No,Yes,No,One year,Yes,Electronic check,39.1,1309,No +3298-QEICA,Female,0,Yes,Yes,23,No,No phone service,DSL,Yes,No,No,Yes,No,No,Two year,No,Mailed check,34.6,813.45,No +0788-DXBFY,Male,0,Yes,Yes,58,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Electronic check,19.55,1108.8,No +3597-YASZG,Female,1,Yes,No,70,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),104.45,7349.35,No +3496-LFSZU,Male,0,Yes,No,4,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,70.5,294.2,No +5242-UOWHD,Male,0,Yes,Yes,45,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.35,929.2,No +2482-CZGBB,Male,0,No,No,10,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70,740,Yes +6479-SZPLM,Male,0,Yes,Yes,36,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.45,754.5,No +8097-VBQTZ,Male,0,No,No,54,Yes,No,DSL,Yes,Yes,No,Yes,Yes,No,Month-to-month,Yes,Mailed check,69.9,3883.3,No +4500-HKANN,Male,0,Yes,Yes,23,Yes,Yes,DSL,No,Yes,No,Yes,No,No,Two year,No,Mailed check,59.7,1414.2,No +9917-KWRBE,Female,0,Yes,Yes,41,Yes,Yes,DSL,Yes,Yes,Yes,No,Yes,No,One year,Yes,Credit card (automatic),78.35,3211.2,No +3420-ZDBMA,Male,1,No,No,5,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,71.45,371.6,No +2212-LYASK,Male,0,Yes,Yes,27,No,No phone service,DSL,No,Yes,Yes,No,No,Yes,One year,Yes,Credit card (automatic),45.85,1246.4,No +1393-IMKZG,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,95.85,95.85,No +8069-RHUXK,Female,0,Yes,Yes,67,No,No phone service,DSL,Yes,No,No,Yes,No,No,Two year,No,Credit card (automatic),35.7,2545.7,No +3398-GCPMU,Female,1,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),89.55,6448.85,No +2908-WGAXL,Female,0,Yes,Yes,56,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),24.95,1468.9,No +3378-AJRAO,Male,0,Yes,Yes,44,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Electronic check,24.85,1013.6,No +1013-QCWAM,Female,1,Yes,No,66,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.8,6690.75,No +0866-QLSIR,Female,0,No,No,34,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,One year,Yes,Mailed check,64.4,2088.75,Yes +6050-FFXES,Female,0,Yes,No,69,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),105.35,7240.65,No +7181-BQYBV,Female,0,Yes,Yes,1,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,102.45,102.45,Yes +0362-RAOQO,Female,0,No,No,40,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.65,830.25,No +9554-DFKIC,Male,0,Yes,Yes,30,Yes,Yes,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),54.45,1588.7,No +5527-ACHSO,Female,0,No,No,11,Yes,No,DSL,No,No,No,Yes,Yes,Yes,Month-to-month,No,Mailed check,70.5,829.3,No +0829-DDVLK,Female,0,No,No,15,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),20.1,302.45,No +1399-UBQIU,Male,0,No,No,11,Yes,No,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,69.35,712.25,No +1813-JLKWR,Female,0,Yes,Yes,64,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),19.8,1336.65,No +0336-PIKEI,Male,1,Yes,No,72,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,No,Bank transfer (automatic),74.4,5360.75,No +7322-OCWHC,Male,1,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,No,Two year,Yes,Bank transfer (automatic),93.05,6735.05,No +9537-VHDTA,Female,0,No,Yes,1,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,No,Mailed check,51.2,51.2,No +4957-TIALW,Female,0,No,Yes,15,Yes,No,DSL,Yes,Yes,Yes,Yes,No,No,One year,No,Credit card (automatic),65.6,1010,No +2054-PJOCK,Female,0,No,No,60,Yes,Yes,DSL,No,No,Yes,Yes,Yes,Yes,One year,No,Credit card (automatic),80.55,4847.05,No +9150-HEPMB,Male,0,No,No,56,Yes,No,DSL,Yes,No,Yes,No,No,No,One year,No,Mailed check,52.7,3019.7,No +9030-QGZNL,Female,0,No,No,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.85,161.65,No +6204-IEUXJ,Female,0,No,No,3,Yes,No,Fiber optic,No,No,Yes,Yes,No,No,Month-to-month,No,Credit card (automatic),80.1,217.55,Yes +3126-WQMGH,Female,0,Yes,No,49,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),52.15,2583.75,No +4529-CKBCL,Female,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,80.2,146.05,Yes +2506-CLAKW,Female,0,No,No,6,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,No,Yes,Month-to-month,Yes,Bank transfer (automatic),98.15,567.45,Yes +7176-WRTNX,Male,0,No,No,70,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),114.95,7711.25,No +1583-IHQZE,Male,0,No,No,12,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Mailed check,112.95,1384.75,Yes +5732-IKGQH,Male,1,Yes,No,52,Yes,No,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),104.45,5481.25,No +9239-GZHZE,Female,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),113.65,8124.2,No +7205-BAIAD,Female,0,No,No,40,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),20.6,827.3,No +0151-ONTOV,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Mailed check,70.9,70.9,Yes +4140-MUHUG,Female,1,No,No,3,Yes,No,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,86.85,220.95,Yes +0093-EXYQL,Female,1,No,No,40,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,91.55,3673.6,No +8064-RAVOH,Male,0,No,Yes,1,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,49.85,49.85,No +0219-QAERP,Male,0,Yes,No,30,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.8,576.65,No +0320-JDNQG,Male,0,Yes,Yes,23,Yes,No,Fiber optic,Yes,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,99.85,2331.3,Yes +7180-PISOG,Male,0,Yes,Yes,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.5,74.5,Yes +9168-INPSZ,Female,1,Yes,No,44,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,No,Electronic check,104.15,4495.65,No +3571-RFHAR,Male,0,No,No,65,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,109.15,6941.2,Yes +0015-UOCOJ,Female,1,No,No,7,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,48.2,340.35,No +5334-AFQJB,Male,1,No,No,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),25.1,1789.9,No +2754-SDJRD,Female,1,No,No,8,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),100.15,908.55,No +9578-VRMNM,Female,0,No,No,16,Yes,Yes,DSL,No,No,Yes,No,No,Yes,Month-to-month,Yes,Credit card (automatic),65.2,1043.35,Yes +1587-FKLZB,Male,1,Yes,Yes,66,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),99.5,6822.15,Yes +6140-QNRQQ,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,71.55,71.55,Yes +8963-JLGJT,Male,0,No,Yes,3,Yes,No,DSL,Yes,No,Yes,No,No,No,Month-to-month,No,Mailed check,55.9,157.55,No +4307-KTUMW,Male,0,Yes,No,53,Yes,Yes,Fiber optic,Yes,No,Yes,No,No,Yes,Month-to-month,No,Electronic check,93.9,5029.2,Yes +1465-LNTLJ,Male,1,Yes,No,8,Yes,No,DSL,No,No,Yes,Yes,No,Yes,Month-to-month,Yes,Credit card (automatic),64.4,581.7,No +5440-FLBQG,Male,1,Yes,No,69,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),108.4,7318.2,Yes +2135-DQWAQ,Female,0,No,No,5,Yes,No,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Mailed check,85.3,420.45,No +4056-QHXHZ,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Mailed check,107.45,7576.7,No +7470-MCQTK,Female,0,Yes,No,13,No,No phone service,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),48.75,633.4,Yes +7488-MXJIV,Female,0,No,No,4,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,85.65,321.65,Yes +7401-JIXNM,Female,0,Yes,Yes,54,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),91.3,4965,No +9339-FIIJL,Male,0,Yes,No,72,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),85.95,6151.9,No +2027-FECZV,Male,0,No,No,12,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,106.7,1253.9,Yes +2672-DZUOY,Male,0,No,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,25.15,25.15,Yes +4706-DGAHW,Male,1,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,45.2,45.2,No +3870-MQAMG,Female,0,Yes,No,54,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,No,Electronic check,110.35,5893.15,Yes +6670-MFRPK,Male,0,Yes,Yes,69,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Two year,Yes,Credit card (automatic),79.2,5420.65,No +6177-PEVRA,Female,0,No,No,48,Yes,No,DSL,Yes,Yes,No,No,No,No,Two year,No,Credit card (automatic),55.5,2627.35,No +4800-CZMPC,Female,0,Yes,Yes,48,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,Yes,One year,Yes,Credit card (automatic),103.25,5037.55,Yes +4813-HQMGZ,Female,0,Yes,No,8,Yes,Yes,Fiber optic,No,No,No,Yes,No,Yes,Month-to-month,Yes,Electronic check,90.25,743.75,No +7579-KKLOE,Male,0,Yes,Yes,71,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Mailed check,91.25,6589.6,No +7377-DMMRI,Male,0,No,No,2,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,47.8,92.45,Yes +8402-EIVQS,Male,0,Yes,No,67,Yes,No,Fiber optic,Yes,Yes,No,No,Yes,Yes,One year,Yes,Credit card (automatic),100.9,6733.15,No +4947-DSMXK,Male,0,Yes,Yes,34,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),97.7,3410,No +7245-NIIWQ,Female,0,No,No,3,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.85,199.85,No +0002-ORFBO,Female,0,Yes,Yes,9,Yes,No,DSL,No,Yes,No,Yes,Yes,No,One year,Yes,Mailed check,65.6,593.3,No +3324-OIRTO,Male,0,Yes,Yes,71,Yes,No,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),104.65,7288.4,No +5414-OFQCB,Male,0,No,No,57,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,No,Two year,Yes,Credit card (automatic),90.45,5229.8,No +4967-WPNCF,Male,0,No,No,72,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),63.7,4464.8,No +8552-OBVRU,Female,1,Yes,Yes,48,Yes,No,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,104.5,5068.05,No +8499-BRXTD,Male,0,No,No,18,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.1,401.85,No +9154-QDGTH,Male,0,Yes,Yes,43,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),104.3,4451.85,No +8197-BFWVU,Female,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),93.25,6688.95,No +2577-GVSIL,Male,0,Yes,Yes,35,Yes,Yes,DSL,No,No,No,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),73.45,2661.1,No +9367-OIUXP,Male,0,No,No,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.7,73.05,No +6770-UAYGJ,Female,0,Yes,Yes,49,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.25,1211.65,No +6463-HHXJR,Female,0,Yes,Yes,71,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,No,Two year,No,Bank transfer (automatic),100.5,7030.65,No +7928-VJYAB,Male,0,Yes,Yes,11,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,90.6,1020.2,No +1187-WILMM,Male,0,Yes,Yes,63,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),89.4,5597.65,No +9776-OJUZI,Female,1,No,No,65,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),95.45,6223.3,No +1306-RPWXZ,Female,0,No,Yes,49,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.45,1024.65,No +8949-JTMAY,Female,0,No,No,29,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),98.6,2933.2,Yes +2774-LVQUS,Female,1,Yes,No,15,Yes,Yes,Fiber optic,No,No,Yes,Yes,No,No,Month-to-month,Yes,Electronic check,83.05,1258.3,Yes +3097-PYWXL,Female,0,Yes,Yes,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,19.95,82.9,No +2266-SJNAT,Female,0,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,No,Credit card (automatic),109.15,7789.6,No +0869-PAPRP,Female,1,Yes,No,26,Yes,No,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Credit card (automatic),85.7,2067,No +4238-JSSWH,Female,1,Yes,No,35,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,No,Bank transfer (automatic),102.05,3452.55,No +2972-YDYUW,Female,0,No,No,57,Yes,Yes,Fiber optic,No,Yes,No,Yes,No,Yes,One year,No,Electronic check,94.7,5468.95,No +1104-FEJAM,Male,0,Yes,Yes,28,Yes,Yes,DSL,No,Yes,No,No,No,Yes,Month-to-month,No,Electronic check,64.4,1802.15,No +2809-ILCYT,Female,0,Yes,No,25,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,26.8,733.55,No +5499-ECUTN,Female,0,Yes,No,47,Yes,No,DSL,Yes,No,Yes,No,Yes,No,One year,Yes,Credit card (automatic),66.05,3021.45,No +4981-FLTMF,Female,0,Yes,Yes,57,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),65.2,3687.85,No +9121-PHQSR,Male,1,Yes,No,16,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),85.05,1391.15,No +3113-IWHLC,Male,0,No,No,5,Yes,No,DSL,Yes,No,Yes,No,No,No,Month-to-month,Yes,Mailed check,55.8,274.35,No +3211-ILJTT,Male,0,Yes,No,17,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),70.4,1214.05,Yes +4612-THJBS,Female,1,No,No,56,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),104.75,5510.65,Yes +4277-BWBML,Male,0,Yes,Yes,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.95,1322.85,No +4094-NSEDU,Female,1,No,No,21,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.25,1973.75,Yes +0234-TEVTT,Female,0,Yes,Yes,48,No,No phone service,DSL,Yes,No,Yes,No,No,Yes,One year,No,Credit card (automatic),45,2196.3,No +4304-TSPVK,Female,0,Yes,No,68,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),114.9,7843.55,No +1552-AAGRX,Female,0,No,No,30,Yes,Yes,Fiber optic,Yes,No,No,Yes,Yes,Yes,Month-to-month,No,Bank transfer (automatic),106.4,3211.9,No +2637-FKFSY,Female,0,Yes,No,3,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,46.1,130.15,No +9796-MVYXX,Female,1,No,No,14,No,No phone service,DSL,Yes,No,Yes,Yes,No,No,Two year,No,Mailed check,39.7,692.35,No +7874-ECPQJ,Female,0,No,Yes,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Bank transfer (automatic),20.05,85.5,No +0020-INWCK,Female,0,Yes,Yes,71,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,Two year,Yes,Credit card (automatic),95.75,6849.4,No +7089-RKVSZ,Male,0,Yes,Yes,8,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,24.4,203.95,No +2683-JXWQQ,Male,0,Yes,Yes,61,No,No phone service,DSL,Yes,No,Yes,No,No,No,Month-to-month,No,Bank transfer (automatic),33.6,2117.2,No +9548-ZMVTX,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,No,No,Two year,No,Bank transfer (automatic),90.45,6565.85,No +8739-XNIKG,Female,0,No,No,5,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,84,424.75,No +9755-JHNMN,Female,0,No,No,49,Yes,No,DSL,Yes,Yes,Yes,Yes,No,No,Two year,No,Bank transfer (automatic),67.4,3306.85,No +3981-QSVQI,Male,0,No,No,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Bank transfer (automatic),19.7,168.9,No +2789-HQBOU,Male,0,No,No,3,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,80.35,253.8,No +9424-CMPOG,Male,0,Yes,Yes,9,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.6,197.4,No +5067-WJEUN,Male,0,Yes,Yes,67,Yes,No,DSL,Yes,Yes,No,No,No,No,Two year,Yes,Bank transfer (automatic),54.2,3838.2,No +3450-WXOAT,Male,0,No,No,46,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),45.2,2065.15,No +9251-WNSOD,Female,0,Yes,No,67,Yes,Yes,DSL,Yes,Yes,Yes,No,No,Yes,One year,No,Mailed check,75.1,5064.45,No +6974-DAFLI,Female,0,Yes,No,55,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Electronic check,19.7,1140.05,No +2616-UUTFK,Male,0,Yes,No,33,Yes,Yes,DSL,Yes,Yes,Yes,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),72.75,2447.45,No +7064-JHXCE,Male,0,Yes,Yes,62,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.05,1263.9,No +5103-MHMHY,Female,0,No,Yes,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,45.95,45.95,Yes +7989-AWGEH,Male,0,Yes,Yes,49,No,No phone service,DSL,Yes,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,39.2,1838.15,No +4373-VVHQL,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,44.75,44.75,No +4559-UWIHT,Male,0,Yes,No,14,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,82.65,1185,No +7268-IGMFD,Male,1,No,No,18,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,No,Month-to-month,No,Bank transfer (automatic),93.9,1743.9,No +1846-XWOQN,Female,1,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.15,70.15,Yes +0235-KGSLC,Female,0,No,No,1,Yes,No,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Credit card (automatic),85.55,85.55,Yes +6650-BWFRT,Female,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),117.15,8529.5,No +9570-KYEUA,Male,0,No,No,64,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,No,Yes,Two year,No,Credit card (automatic),99.25,6549.45,No +6993-YGFJV,Male,0,Yes,No,69,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),112.55,7806.5,No +2712-SYWAY,Female,0,No,No,1,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,25.7,25.7,No +0730-BGQGF,Male,0,Yes,Yes,71,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),90.3,6287.3,No +5498-IBWPI,Female,0,Yes,Yes,66,Yes,No,DSL,No,No,No,Yes,No,No,One year,Yes,Credit card (automatic),49.4,3251.85,No +9101-NTIXF,Male,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.4,50.6,No +0013-SMEOE,Female,1,Yes,No,71,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),109.7,7904.25,No +9314-QDMDW,Male,0,No,No,11,Yes,No,DSL,No,Yes,No,No,Yes,No,One year,Yes,Electronic check,61.25,729.95,No +9308-ANMVE,Male,0,No,Yes,47,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,55.3,2654.05,No +2884-GBPFB,Female,0,Yes,No,35,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.3,2416.55,Yes +3757-NJYBX,Male,1,Yes,No,32,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,No,Bank transfer (automatic),106.35,3520.75,Yes +3413-DHLPB,Male,0,Yes,Yes,60,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),103.75,5969.95,No +7649-PHJVR,Male,0,No,No,11,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.5,226.8,No +6114-TCFID,Female,0,No,No,29,No,No phone service,DSL,Yes,Yes,No,Yes,No,No,One year,No,Credit card (automatic),39.5,1082.75,No +3787-TRIAL,Male,0,Yes,Yes,21,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,26.05,565.75,No +2573-GYRUU,Male,1,Yes,No,48,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Credit card (automatic),91.05,4370.75,No +5156-UMKOW,Female,0,No,Yes,3,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,No,Mailed check,29.65,90.05,No +1247-QBVSH,Female,0,Yes,Yes,43,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,No,Mailed check,50.2,2169.4,No +6734-GMPVK,Male,0,No,No,5,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,No,Electronic check,105.3,550.6,No +9822-OAOVB,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,55.45,55.45,No +6161-ERDGD,Male,0,Yes,Yes,71,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,One year,No,Electronic check,85.45,6300.85,No +1226-JZNKR,Female,0,Yes,Yes,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Electronic check,19.8,160.05,No +7318-EIVKO,Male,0,No,No,8,Yes,Yes,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,59.25,436.6,No +3771-PZOBW,Male,0,No,No,20,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Credit card (automatic),90.7,1781.35,No +5136-KCKGI,Female,0,Yes,Yes,33,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,One year,Yes,Mailed check,103.7,3467,Yes +8231-BSWXX,Male,0,No,No,71,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,One year,Yes,Credit card (automatic),79.05,5552.5,No +6486-LHTMA,Female,1,Yes,No,31,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,One year,Yes,Electronic check,90.7,2835.5,No +4083-BFNYK,Female,1,Yes,No,38,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,Yes,One year,No,Credit card (automatic),95,3591.25,No +3722-WPXTK,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,88.35,88.35,Yes +7389-KBFIT,Female,0,Yes,Yes,2,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,30.25,63.75,No +7176-WIONM,Female,0,Yes,No,12,No,No phone service,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),49.85,617.15,No +5141-ZUVBH,Female,0,No,Yes,9,Yes,No,Fiber optic,Yes,No,Yes,Yes,No,Yes,Month-to-month,No,Bank transfer (automatic),93,870.25,No +1089-HDMKP,Male,1,No,Yes,11,Yes,No,DSL,No,Yes,No,Yes,No,No,Month-to-month,Yes,Electronic check,54.55,601.25,No +7623-HKYRK,Male,0,No,Yes,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.7,111.65,No +0310-SUCIN,Female,0,Yes,No,71,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),84.8,6046.1,No +5197-PYEPU,Female,0,Yes,Yes,42,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,No,One year,Yes,Credit card (automatic),94.45,3923.8,No +2929-ERCFZ,Female,0,Yes,Yes,8,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.2,777.3,Yes +7548-SEPYI,Female,0,No,No,5,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,96.25,512.45,Yes +8835-VSDSE,Female,0,Yes,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.7,141.45,Yes +6619-RPLQZ,Female,0,Yes,Yes,45,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.85,892.15,No +3275-RHRNE,Male,0,Yes,Yes,28,No,No phone service,DSL,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),60,1682.05,No +3503-TYDAY,Female,0,Yes,No,43,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,80.45,3398.9,No +6901-GOGZG,Male,0,No,Yes,60,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,84.95,4984.85,No +1623-NLDOT,Female,0,Yes,No,42,No,No phone service,DSL,No,Yes,No,Yes,No,No,One year,No,Mailed check,33.55,1445.3,Yes +7021-XSNYE,Male,0,Yes,Yes,7,No,No phone service,DSL,Yes,No,Yes,Yes,No,Yes,Two year,No,Credit card (automatic),49.65,305.55,No +9621-OUPYD,Female,0,Yes,No,25,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),20.2,507.9,No +9898-KZQDZ,Female,1,Yes,Yes,40,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),94.55,3640.45,Yes +8982-NHAVY,Male,0,No,No,27,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),100.5,2673.45,No +4307-KWMXE,Male,0,No,No,10,No,No phone service,DSL,No,Yes,No,Yes,No,No,Month-to-month,No,Electronic check,35.75,389.8,No +0141-YEAYS,Female,1,No,No,27,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),86.45,2401.05,No +2450-ZKEED,Female,0,No,No,11,Yes,No,DSL,No,No,Yes,Yes,No,No,One year,No,Bank transfer (automatic),53.8,651.55,No +3694-DELSO,Male,0,Yes,Yes,4,No,No phone service,DSL,Yes,No,No,No,Yes,No,Month-to-month,No,Credit card (automatic),38.55,156.1,No +3893-JRNFS,Male,0,No,No,68,No,No phone service,DSL,No,No,Yes,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),39.9,2796.35,No +9603-OAIHC,Male,1,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.05,70.05,No +1133-KXCGE,Female,0,No,No,18,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.1,407.05,No +5236-PERKL,Female,0,No,No,57,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),112.95,6465,Yes +0142-GVYSN,Male,0,No,No,26,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,20.3,511.25,No +1049-FYSYG,Female,0,Yes,No,17,No,No phone service,DSL,No,Yes,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),35.65,646.05,No +7854-FOKSF,Male,0,No,No,1,No,No phone service,DSL,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,35.9,35.9,Yes +2519-FAKOD,Male,0,No,Yes,38,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),99.25,3777.15,Yes +8406-LNMHF,Male,1,Yes,No,59,Yes,No,Fiber optic,Yes,Yes,Yes,No,No,No,One year,Yes,Credit card (automatic),82.95,4903.15,No +1821-BUCWY,Male,0,No,No,30,Yes,No,DSL,Yes,No,Yes,No,No,No,Two year,Yes,Mailed check,55.65,1653.85,No +8263-JQAIK,Male,1,No,No,2,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,24.45,47.5,Yes +0023-UYUPN,Female,1,Yes,No,50,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Electronic check,25.2,1306.3,No +8314-DPQHL,Male,0,No,No,9,No,No phone service,DSL,Yes,No,Yes,Yes,No,Yes,One year,No,Mailed check,50.8,463.6,No +1465-WCZVT,Female,0,Yes,Yes,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.65,60.65,No +9481-SFCQY,Female,0,No,Yes,14,Yes,No,DSL,No,No,Yes,No,Yes,No,Month-to-month,Yes,Credit card (automatic),59.8,824.85,No +6360-SVNWV,Female,1,No,No,31,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),73.55,2094.65,No +0567-GGCAC,Female,0,No,No,7,Yes,No,DSL,Yes,Yes,Yes,No,No,No,Month-to-month,No,Electronic check,61.4,438.9,No +7089-IVVAZ,Female,0,No,No,8,Yes,Yes,Fiber optic,Yes,No,No,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),103.35,847.3,Yes +8884-MRNSU,Male,0,Yes,Yes,17,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),19.9,329.75,No +2171-UDMFD,Male,0,Yes,Yes,32,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),19.45,674.55,No +9050-IKDZA,Female,1,No,No,2,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,No,Mailed check,81.5,162.55,No +2205-YMZZJ,Male,1,No,No,7,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,84.8,546.95,Yes +9802-CAQUT,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Two year,No,Credit card (automatic),109.55,7887.25,No +1254-IZEYF,Female,1,No,No,31,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.95,3186.65,Yes +0187-WZNAB,Female,0,Yes,Yes,27,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,No,Mailed check,74.4,1972.35,No +9492-TOKRI,Female,0,No,No,18,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),90,1527.35,Yes +1475-VWVDO,Male,0,No,No,7,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,74.9,490.55,No +9221-OTIVJ,Female,1,No,No,14,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,104.85,1531.4,Yes +1357-MVDOZ,Male,0,Yes,Yes,11,Yes,No,DSL,No,No,Yes,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),59.65,683.25,No +7602-MVRMB,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),110.45,8058.85,No +3325-FUYCG,Male,0,Yes,Yes,28,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,Yes,One year,No,Electronic check,106.1,2847.4,Yes +5908-QMGOE,Male,1,No,No,15,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),74.2,1133.9,Yes +1197-BVMVG,Female,1,No,No,4,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.45,294.45,No +5406-KGRMX,Female,0,No,No,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Electronic check,24.55,1719.15,No +8481-YYXWG,Female,0,No,No,5,Yes,No,Fiber optic,No,Yes,No,Yes,No,Yes,Month-to-month,Yes,Electronic check,89.35,461.7,Yes +5968-HYJRZ,Male,0,Yes,Yes,47,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,24.55,1160.45,No +5198-EFNBM,Male,1,Yes,No,57,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,No,One year,Yes,Electronic check,90.65,5199.8,No +7516-GMHUV,Male,1,Yes,No,50,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,Two year,Yes,Credit card (automatic),105.05,5163.3,No +7140-ADSMJ,Male,0,No,No,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),20.45,162.3,No +2230-XTUWL,Female,0,Yes,Yes,48,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.55,883.35,No +7706-YLMQA,Female,0,No,No,70,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),19.7,1341.5,No +2585-KTFRE,Male,0,No,Yes,1,Yes,No,DSL,Yes,Yes,No,Yes,No,Yes,Month-to-month,Yes,Bank transfer (automatic),70.45,70.45,No +7994-UYIVZ,Male,0,Yes,No,8,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),85.65,659.45,No +2609-IAICY,Female,0,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,77.15,77.15,Yes +1740-CSDJP,Male,0,No,No,1,No,No phone service,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),35.25,35.25,Yes +7717-BICXI,Male,0,Yes,Yes,60,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.55,1205.05,No +6559-RAKOZ,Male,0,Yes,Yes,49,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,One year,Yes,Electronic check,97.95,4917.9,No +2636-OHFMN,Male,0,Yes,No,4,No,No phone service,DSL,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,48.55,201,Yes +4716-MRVEN,Female,0,No,No,29,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20,599.3,No +2143-LJULT,Female,0,Yes,No,67,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),25.25,1733.15,No +1323-OOEPC,Female,0,Yes,No,53,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),98.4,5149.5,Yes +3200-MNQTF,Male,0,Yes,No,67,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,No,Two year,No,Credit card (automatic),70.9,4677.1,No +6164-HXUGH,Female,0,Yes,Yes,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.85,119.3,No +5630-IXDXV,Female,0,No,No,47,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,106.35,4849.1,No +0320-DWVTU,Female,0,No,No,53,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,No,Yes,Two year,No,Mailed check,99.5,5424.25,No +9135-MGVPY,Male,0,Yes,No,69,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Mailed check,84.7,5878.9,No +1212-GLHMD,Male,0,No,No,3,Yes,No,Fiber optic,Yes,No,No,No,No,Yes,Month-to-month,Yes,Mailed check,86.05,244.85,No +7878-JGDKK,Male,0,No,No,4,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,44.55,220.75,No +1088-AUUZZ,Male,0,Yes,Yes,56,Yes,Yes,DSL,Yes,Yes,No,Yes,No,Yes,Two year,Yes,Credit card (automatic),75.85,4261.2,No +0397-GZBBC,Male,1,Yes,No,59,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),93.85,5574.75,Yes +6614-YWYSC,Male,1,Yes,No,61,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),25,1501.75,No +9588-OZDMQ,Female,0,Yes,No,2,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,45,89.75,No +7641-EUYET,Male,1,Yes,Yes,46,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,100.7,4541.2,Yes +6476-EPYZR,Male,0,Yes,Yes,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.5,255.5,No +9921-ZVRHG,Female,0,No,No,14,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,80.45,1072,Yes +1174-FGIFN,Female,0,Yes,Yes,28,Yes,Yes,Fiber optic,No,No,No,Yes,No,Yes,One year,Yes,Electronic check,90.45,2509.25,No +6620-HVDUJ,Male,0,No,No,24,Yes,No,DSL,Yes,Yes,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),60.45,1440.75,No +4701-MLJPN,Male,0,No,No,31,Yes,No,DSL,No,No,Yes,Yes,No,No,Month-to-month,Yes,Electronic check,55.25,1715.65,Yes +1032-MAELW,Female,0,Yes,Yes,68,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,One year,Yes,Electronic check,78.45,5333.35,No +7641-TQFHN,Male,0,No,Yes,39,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Two year,No,Mailed check,100.55,3895.35,No +1552-TKMXS,Female,0,Yes,No,42,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),20.35,869.9,No +9206-GVPEQ,Male,0,Yes,No,13,No,No phone service,DSL,Yes,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,54.45,706.85,Yes +8622-ZLFKO,Female,0,Yes,No,6,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,90.75,512.25,No +1596-BBVTG,Male,0,No,No,35,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Credit card (automatic),75.35,2636.05,Yes +6188-UXBBR,Female,0,Yes,No,38,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Credit card (automatic),20.25,814.75,No +2333-KWEWW,Male,0,No,No,18,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.05,388.6,No +5702-SKUOB,Female,0,Yes,No,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.6,93.45,No +1134-YWTYF,Male,0,Yes,No,27,Yes,No,DSL,No,Yes,No,Yes,No,No,Month-to-month,Yes,Electronic check,53.8,1389.85,No +6061-GWWAV,Male,0,No,Yes,41,Yes,No,DSL,Yes,Yes,Yes,No,Yes,No,One year,No,Mailed check,70.2,2894.55,No +0679-TDGAK,Male,0,Yes,Yes,50,Yes,No,DSL,Yes,No,No,Yes,Yes,Yes,One year,No,Electronic check,75.5,4025.6,No +6585-WCEWR,Male,0,Yes,Yes,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Electronic check,20.35,1354.4,No +9067-YGSCA,Female,0,No,No,70,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),26.05,1856.4,No +9067-SQTNS,Male,0,Yes,Yes,44,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),20.6,926,No +8433-WXGNA,Male,0,No,No,2,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.7,189.2,Yes +1776-SPBWV,Female,0,Yes,Yes,34,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),20.1,682.1,No +8735-SDUFN,Female,1,Yes,No,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),24.3,1778.7,No +9668-PUGNU,Male,0,Yes,No,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Electronic check,24.5,1816.2,No +9405-GPBBG,Female,0,No,No,64,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),110.5,7069.25,No +1926-QUZNN,Female,0,Yes,No,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),25.25,1841.2,No +3707-GNWHM,Male,0,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,74.25,74.25,Yes +7016-NVRIC,Male,1,Yes,No,29,Yes,No,Fiber optic,Yes,No,Yes,No,No,Yes,One year,No,Bank transfer (automatic),90.1,2656.7,No +5829-NVSQN,Female,0,Yes,No,23,Yes,No,DSL,Yes,No,Yes,Yes,No,Yes,One year,Yes,Bank transfer (automatic),68.75,1689.45,No +9565-AXSMR,Male,0,Yes,Yes,52,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.2,1054.75,No +8922-LIEGH,Female,1,No,No,25,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,89.7,2187.55,Yes +8869-LIHMK,Female,0,No,No,64,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),115.1,7334.05,No +8245-UMPYT,Female,1,No,No,16,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,96.4,1581.2,Yes +5186-SAMNZ,Male,1,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),69.5,69.5,Yes +0447-RXSGD,Male,0,No,No,24,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),99.65,2404.85,No +4927-WWOOZ,Male,0,Yes,No,2,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,91.45,171.45,No +5788-YPOEG,Female,0,Yes,Yes,34,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Mailed check,84.75,2839.45,No +5373-SFODM,Male,1,Yes,No,36,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),85.25,3132.75,Yes +0661-KBKPA,Male,0,Yes,Yes,53,Yes,Yes,DSL,No,No,Yes,Yes,Yes,Yes,One year,Yes,Mailed check,78.75,3942.45,No +9081-WWXKP,Female,0,Yes,Yes,47,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.25,873.4,No +0784-ZQJZX,Male,0,No,Yes,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.9,1529.65,No +3133-PZNSR,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,No,Yes,Two year,Yes,Credit card (automatic),97.75,6991.6,No +5766-ZJYBB,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.4,19.4,Yes +8931-GJJIQ,Female,0,No,No,9,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,83.3,803.3,Yes +4277-PVRAN,Female,0,No,No,8,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),80.1,679.3,Yes +0022-TCJCI,Male,1,No,No,45,Yes,No,DSL,Yes,No,Yes,No,No,Yes,One year,No,Credit card (automatic),62.7,2791.5,Yes +0722-SVSFK,Female,0,No,No,7,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,100.4,715,No +3612-YVGSJ,Female,0,Yes,No,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),24.45,1681.6,No +9825-YCXWZ,Female,1,No,No,41,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),101.1,4016.2,No +5397-NSKQG,Male,0,Yes,Yes,67,No,No phone service,DSL,Yes,No,No,No,Yes,Yes,Two year,No,Credit card (automatic),50.9,3281.65,No +8565-HBFNN,Male,0,Yes,No,69,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,Yes,One year,Yes,Credit card (automatic),107.2,7317.1,No +2000-DHJUY,Female,1,Yes,No,70,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),92.2,6474.45,No +0203-HHYIJ,Male,0,No,No,25,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),25.3,676.35,Yes +8670-ERCJH,Male,0,No,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),113.4,8164.1,No +7758-UJWYS,Male,0,Yes,Yes,34,No,No phone service,DSL,No,No,No,Yes,Yes,No,Two year,Yes,Electronic check,40.55,1325.85,No +2050-ONYDQ,Female,0,Yes,Yes,65,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),26,1654.85,No +7055-JCGNI,Female,0,No,No,70,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),111.95,7795.95,No +0739-UUAJR,Female,0,Yes,Yes,72,No,No phone service,DSL,Yes,No,Yes,No,Yes,Yes,Two year,Yes,Credit card (automatic),53.8,3952.45,No +4826-DXMUP,Male,0,No,Yes,35,Yes,No,DSL,No,No,No,Yes,Yes,Yes,One year,Yes,Mailed check,72.1,2495.15,No +0952-KMEEH,Male,0,No,No,13,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,No,Mailed check,98.15,1230.25,Yes +7285-KLOTR,Female,0,Yes,No,12,Yes,Yes,DSL,Yes,No,Yes,No,Yes,Yes,One year,No,Electronic check,78.85,876.75,No +0654-PQKDW,Female,0,Yes,Yes,62,Yes,No,DSL,Yes,No,Yes,Yes,Yes,No,One year,Yes,Bank transfer (automatic),70.75,4263.45,No +7175-NTIXE,Female,0,No,No,25,Yes,No,DSL,Yes,No,No,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),76.15,1992.95,No +7963-SHNDT,Female,0,No,No,52,No,No phone service,DSL,Yes,Yes,No,Yes,No,No,Two year,No,Mailed check,39.1,1982.1,No +9796-BPKIW,Male,1,No,No,8,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),69.95,562.7,No +0188-GWFLE,Male,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.05,33.7,No +8129-GMVGI,Female,0,Yes,Yes,56,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.05,1090.1,No +2882-DDZPG,Female,0,No,No,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),19.45,227.45,No +3547-LQRIK,Female,0,Yes,No,47,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Electronic check,26.9,1250.85,No +9137-NOQKA,Male,1,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,19.2,37.2,No +5843-TTHGI,Female,0,No,No,18,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Mailed check,50,892.7,No +1849-RJYIG,Female,0,No,No,8,Yes,No,DSL,Yes,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,60,487.75,No +8868-GAGIO,Male,0,Yes,No,45,Yes,Yes,Fiber optic,Yes,No,Yes,No,No,No,Month-to-month,Yes,Mailed check,84.55,3713.95,No +4061-UKJWL,Male,0,No,No,3,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,45.45,141.7,No +5380-XPJNZ,Female,0,No,No,38,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.05,678.2,No +8263-QMNTJ,Male,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,115.55,8425.3,No +8178-EYZUO,Male,0,No,No,46,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,93.7,4154.8,Yes +3230-JCNZS,Female,0,Yes,Yes,71,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,No,Two year,Yes,Credit card (automatic),99,7061.65,No +0277-ORXQS,Male,0,Yes,Yes,66,No,No phone service,DSL,No,No,No,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),50.55,3364.55,No +5130-IEKQT,Male,1,No,No,25,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,No,Mailed check,105.95,2655.25,Yes +3230-WYKIR,Male,0,No,No,18,Yes,Yes,DSL,No,No,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),82,1425.45,Yes +7996-BPXHY,Female,0,Yes,Yes,13,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),25,332.5,No +3227-WLKLI,Female,0,Yes,Yes,65,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),91.55,5963.95,No +0407-BDJKB,Male,0,Yes,No,60,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,95.75,5742.9,Yes +2266-FUBDZ,Male,0,Yes,Yes,15,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.35,278.85,No +8237-ULIXL,Female,0,Yes,No,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),24.85,1871.85,No +9600-UDOPK,Male,0,Yes,No,30,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),94.05,2866.45,Yes +8216-AZUUZ,Female,0,Yes,Yes,42,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,100.4,4303.65,No +9153-BTBVV,Female,0,Yes,No,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),25,1753,No +4074-SJFFA,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Mailed check,54.75,54.75,Yes +3269-ATYWD,Male,1,No,No,39,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),95.65,3759.05,Yes +5186-PEIZU,Female,0,No,No,35,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),19.25,617.65,No +1074-AMIOH,Female,0,Yes,Yes,53,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),108.25,5935.1,No +4910-GMJOT,Female,0,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.6,94.6,Yes +0354-WYROK,Female,1,Yes,Yes,31,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,98.9,2911.3,Yes +4361-FEBGN,Male,0,No,No,48,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.15,982.95,No +7748-UMTRK,Female,1,No,Yes,30,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,101.3,2974.5,No +0380-ZCSBI,Male,0,No,No,10,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),20,198.7,No +7145-FEJWU,Female,0,No,Yes,12,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,105.3,1275.65,No +6463-MVYRY,Female,1,No,No,57,Yes,No,DSL,Yes,No,Yes,Yes,Yes,No,Two year,No,Bank transfer (automatic),69.85,4003,No +3969-JQABI,Female,0,Yes,No,58,Yes,No,DSL,Yes,Yes,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),65.25,3791.6,No +9624-EGDEQ,Female,0,No,No,37,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.8,813.3,No +1051-EQPZR,Female,0,Yes,Yes,44,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.6,780.25,No +5849-ASHZJ,Male,0,No,Yes,27,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),20.05,552.9,No +5780-INQIK,Female,0,No,No,8,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,No,Electronic check,49.4,408.25,No +7576-OYWBN,Male,1,No,No,3,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,76.05,231.8,Yes +4526-ZJJTM,Female,1,Yes,No,25,Yes,No,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,No,Bank transfer (automatic),88.4,2191.15,No +8384-FZBJK,Female,0,Yes,Yes,57,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.6,5611.7,No +3750-RNQKR,Female,0,No,No,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.45,246.25,No +0962-CQPWQ,Female,0,Yes,Yes,62,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.3,1296.15,No +3096-YXENJ,Female,0,Yes,No,65,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),107.65,7082.85,No +1265-BCFEO,Female,0,Yes,No,71,Yes,Yes,DSL,No,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),80.45,5662.25,No +5837-LXSDN,Female,0,Yes,Yes,21,Yes,No,DSL,No,Yes,No,No,Yes,No,One year,Yes,Credit card (automatic),58.85,1215.45,No +5945-AZYHT,Male,0,Yes,No,71,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,109.6,7854.15,No +8325-QRPZR,Female,0,No,No,7,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,75.15,525,No +6384-VMJHP,Female,0,No,No,72,Yes,No,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,Yes,Credit card (automatic),73,5265.2,No +2262-SLNVK,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,70.1,70.1,No +7730-CLDSV,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,No,Yes,Two year,Yes,Bank transfer (automatic),98.65,7129.45,No +1135-HIORI,Female,0,Yes,Yes,64,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,111.45,7266.95,No +0164-APGRB,Female,0,No,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,114.9,8496.7,No +6481-ESCNL,Female,0,No,No,29,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,No,Bank transfer (automatic),100.55,2878.75,No +1790-NESIO,Female,0,No,No,13,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,20.4,261.3,No +1550-EENBN,Female,0,No,No,31,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,Yes,Month-to-month,No,Electronic check,104.35,3205.6,No +5539-TMZLF,Male,1,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.75,69.75,Yes +4323-SADQS,Male,0,Yes,Yes,7,No,No phone service,DSL,Yes,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,34.5,279.25,Yes +4446-BZKHU,Male,0,Yes,No,61,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,105.55,6281.45,Yes +5202-IVJNU,Female,0,No,Yes,39,No,No phone service,DSL,No,No,Yes,No,No,No,Month-to-month,No,Credit card (automatic),30.1,1131.3,Yes +5976-JCJRH,Male,0,Yes,No,10,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.3,738.2,Yes +8198-RKSZG,Female,0,Yes,Yes,14,Yes,Yes,DSL,No,Yes,No,Yes,Yes,Yes,Month-to-month,No,Credit card (automatic),80.45,1137.05,No +0137-OCGAB,Female,0,No,No,1,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,80.2,80.2,Yes +3351-NQLDI,Female,0,Yes,Yes,67,Yes,Yes,Fiber optic,Yes,No,No,Yes,No,Yes,One year,Yes,Credit card (automatic),94.35,6341.45,Yes +9297-EONCV,Female,0,No,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),91.35,6697.2,No +7593-JNWRU,Male,0,Yes,Yes,6,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),44.6,260.8,Yes +4588-YBNIB,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.6,19.6,Yes +1069-QJOEE,Male,0,Yes,Yes,25,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Electronic check,19.9,505.45,No +3336-JORSO,Female,1,No,No,33,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,110.45,3655.45,Yes +7799-DSEWS,Male,0,No,No,18,Yes,No,DSL,Yes,No,Yes,Yes,Yes,No,Month-to-month,Yes,Electronic check,68.35,1299.8,No +8766-PAFNE,Male,0,Yes,No,71,Yes,No,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),79.1,5564.85,No +5315-CKEQK,Male,1,Yes,Yes,28,Yes,Yes,DSL,No,No,No,No,No,No,One year,Yes,Electronic check,51,1381.8,No +3130-ICDUP,Female,0,No,Yes,2,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,No,Credit card (automatic),80.55,188.1,No +0820-FNRNX,Male,0,Yes,Yes,17,Yes,Yes,DSL,No,Yes,Yes,Yes,No,No,Month-to-month,Yes,Mailed check,66.7,1077.05,No +0880-FVFWF,Male,0,No,No,56,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,86.4,4922.4,No +4611-ANLQC,Female,0,Yes,No,60,No,No phone service,DSL,Yes,Yes,Yes,No,No,Yes,One year,No,Electronic check,50.05,2911.5,No +4213-HKBJO,Female,0,No,No,33,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.7,826.1,No +2792-LSHWX,Female,0,No,No,1,Yes,No,Fiber optic,Yes,Yes,No,Yes,No,No,Month-to-month,Yes,Mailed check,83.4,83.4,No +5028-GZLDO,Male,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Credit card (automatic),70.7,140.7,Yes +0014-BMAQU,Male,0,Yes,No,63,Yes,Yes,Fiber optic,Yes,No,No,Yes,No,No,Two year,Yes,Credit card (automatic),84.65,5377.8,No +6861-XWTWQ,Male,1,Yes,No,7,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.25,665.45,Yes +9018-PCIOK,Female,0,No,No,55,Yes,No,DSL,No,Yes,Yes,No,No,Yes,Two year,Yes,Mailed check,64.75,3617.1,No +4837-QUSFT,Female,0,Yes,No,65,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,No,One year,Yes,Bank transfer (automatic),100.15,6643.5,No +6877-TJMBR,Male,0,Yes,No,1,Yes,No,Fiber optic,No,No,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,84.8,84.8,Yes +9953-ZMKSM,Male,0,No,No,63,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.25,1559.3,No +0907-HQNTS,Female,1,Yes,No,70,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),113,7987.6,No +7665-NKLAV,Female,0,Yes,Yes,36,No,No phone service,DSL,Yes,No,Yes,Yes,No,No,Two year,No,Credit card (automatic),40.65,1547.35,No +6769-DCQLI,Male,0,No,No,52,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),105,5426.85,Yes +2433-KMEAS,Male,0,No,No,22,Yes,Yes,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,54.45,1127.35,Yes +4391-LNRXK,Male,0,No,No,22,Yes,No,Fiber optic,No,Yes,Yes,Yes,No,Yes,Month-to-month,Yes,Bank transfer (automatic),94.95,2142.8,No +8250-ZNGGW,Female,1,No,No,5,Yes,No,DSL,Yes,Yes,No,Yes,No,No,Month-to-month,No,Credit card (automatic),59.9,287.85,No +2195-ZRVAX,Female,0,Yes,No,47,Yes,No,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,85.3,4045.65,Yes +3550-SAHFP,Female,0,No,No,33,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,83.35,2757.85,Yes +2011-TRQYE,Male,0,No,No,18,No,No phone service,DSL,No,Yes,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),33.5,600,Yes +8562-GHPPI,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),19.8,19.8,No +5893-PYOLZ,Male,0,No,No,56,Yes,No,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),81.8,4534.45,No +4986-MXSFP,Female,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20,40.9,No +6131-FOYAS,Male,0,No,No,35,Yes,Yes,DSL,Yes,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,59.6,2094.9,No +3027-YNWZU,Female,0,Yes,No,64,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25,1584.8,No +5609-IMCGG,Female,0,No,No,15,Yes,Yes,Fiber optic,Yes,No,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),84.35,1302.65,No +4873-ILOLJ,Male,0,No,No,24,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,90.35,2238.5,Yes +4727-MCYZG,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,Yes,Month-to-month,No,Mailed check,55.55,55.55,No +9481-WHGWY,Female,0,Yes,Yes,70,Yes,No,DSL,Yes,No,No,Yes,Yes,Yes,Two year,No,Credit card (automatic),75.35,5437.75,No +2725-KXXWT,Male,0,Yes,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,90.75,90.75,Yes +9565-DJPIB,Female,0,No,Yes,4,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,No,Mailed check,89.6,365.65,Yes +4328-VUFWD,Female,0,No,No,39,Yes,No,DSL,No,No,No,Yes,No,Yes,One year,No,Electronic check,59.3,2209.15,No +3301-LSLWQ,Female,0,No,No,29,Yes,Yes,DSL,Yes,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,66.1,1912.15,No +7473-ZBDSN,Female,0,Yes,Yes,14,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,18.8,255.55,No +3166-PNEOF,Female,0,No,No,61,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),86.45,5175.3,No +5639-NTUPK,Male,0,No,Yes,13,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),52.1,670.65,No +8780-YRMTT,Female,0,No,No,66,No,No phone service,DSL,Yes,Yes,Yes,Yes,No,No,Two year,Yes,Mailed check,47.4,3177.25,No +8348-HFYIV,Male,0,No,No,2,No,No phone service,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,49.25,90.35,Yes +5140-FOMCQ,Female,0,Yes,No,59,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),109.15,6557.75,No +6242-SGYTS,Male,0,Yes,Yes,62,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,No,One year,Yes,Credit card (automatic),94.95,5791.85,No +8166-ORCHU,Male,1,Yes,No,33,Yes,No,Fiber optic,Yes,Yes,No,Yes,No,Yes,One year,Yes,Electronic check,93.55,3055.5,No +8414-OOEEL,Male,0,No,Yes,66,Yes,No,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),79.5,5196.1,No +8454-AATJP,Female,0,No,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),115.05,8405,No +6849-WLEYG,Male,0,No,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.75,19.75,Yes +4659-NZRUF,Female,0,No,No,19,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,95.15,1789.25,Yes +4531-AUZNK,Female,0,Yes,Yes,51,Yes,Yes,Fiber optic,Yes,No,No,Yes,Yes,No,One year,Yes,Mailed check,95.15,5000.05,No +4191-XOVOM,Male,0,No,No,63,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,Month-to-month,No,Electronic check,105.4,6713.2,No +2150-OEGBV,Male,0,No,No,27,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),20.1,562.6,No +8429-XIBUM,Male,0,No,No,22,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),101.35,2317.1,Yes +1855-CFULU,Female,1,No,No,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.05,91.45,No +4878-BUNFV,Male,0,Yes,Yes,42,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.7,828.85,No +1872-EBWSC,Female,0,No,No,29,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.35,617.35,No +2608-BHKFN,Female,0,No,No,4,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),70.05,266.9,Yes +7026-YMSBE,Male,0,No,No,30,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.7,625.05,No +7341-LXCAF,Male,0,Yes,No,4,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.65,301.4,Yes +6997-UVGOX,Male,0,Yes,Yes,71,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),85.45,6029.9,No +9674-EHPPG,Male,0,Yes,No,46,No,No phone service,DSL,Yes,No,Yes,Yes,No,No,Two year,No,Credit card (automatic),40.4,1842.7,No +9462-MJUAW,Male,0,No,No,4,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,50.4,206.6,Yes +8128-YVJRG,Female,0,No,No,7,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Mailed check,79.65,604.7,Yes +5440-VHLUL,Male,0,No,No,69,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),105.2,7386.05,No +5781-BKHOP,Female,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,No,Two year,No,Bank transfer (automatic),100.65,7334.05,No +4283-FUTGF,Male,1,No,No,19,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,79.85,1471.75,Yes +5213-TWWJU,Male,0,No,No,28,Yes,No,Fiber optic,No,No,Yes,Yes,No,Yes,Month-to-month,No,Electronic check,91,2626.15,No +1569-TTNYJ,Male,0,Yes,No,5,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,78.75,412.1,Yes +8628-MFKAX,Female,1,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),116.75,8277.05,No +2397-BRLOM,Male,1,Yes,Yes,8,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),80.45,583.45,Yes +7629-WIXZF,Female,0,No,No,7,Yes,No,DSL,Yes,No,No,No,No,Yes,One year,Yes,Electronic check,59.1,369.25,No +5445-GLVOT,Female,0,No,No,22,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,49.8,1049.05,No +3976-HXHCE,Male,0,No,No,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.3,1414.8,No +2466-NEJOJ,Male,0,Yes,Yes,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),19.65,169.75,No +0254-KCJGT,Male,0,Yes,No,52,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,One year,Yes,Credit card (automatic),81.4,4354.45,No +5472-CVMDX,Female,0,No,No,68,No,No phone service,DSL,Yes,No,Yes,Yes,No,No,Two year,No,Mailed check,38.9,2719.2,No +6461-SZMCV,Female,0,Yes,No,71,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),87.95,6365.35,No +8150-QUDFX,Male,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.85,51.6,No +9508-ILZDG,Female,1,No,No,34,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,96.35,3190.25,No +2346-DJQTB,Female,0,No,No,35,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,24.15,812.5,No +1697-LYYYX,Female,0,Yes,Yes,61,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.1,1143.8,No +1942-OQFRW,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,44,44,No +4749-VFKVB,Female,0,No,No,1,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,50.1,50.1,Yes +9640-ZSLDC,Female,0,Yes,Yes,53,Yes,No,DSL,No,No,Yes,No,No,Yes,One year,No,Credit card (automatic),60.6,3297,No +4231-LZUYM,Female,0,Yes,No,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),25.65,1887,No +7598-UAASY,Male,0,Yes,No,2,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,No,Electronic check,76.4,151.8,Yes +7938-OUHIO,Male,0,No,No,3,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,98.7,293.65,Yes +8510-AWCXC,Female,1,No,No,13,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.8,1308.1,Yes +6128-AQBMT,Male,1,Yes,No,41,No,No phone service,DSL,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,53.95,2215.4,No +3594-BDSOA,Female,0,Yes,No,24,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),20.4,482.8,No +0431-APWVY,Female,0,Yes,Yes,28,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,One year,Yes,Bank transfer (automatic),90.1,2598.95,Yes +5133-VRSAB,Male,0,No,No,8,No,No phone service,DSL,Yes,No,No,No,No,No,Month-to-month,No,Mailed check,29.35,216.45,No +5996-DAOQL,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.45,20.45,No +6838-YAUVY,Female,0,No,No,54,Yes,Yes,Fiber optic,No,No,Yes,Yes,No,Yes,Two year,Yes,Bank transfer (automatic),95.1,5064.85,No +0484-JPBRU,Male,0,No,No,41,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Bank transfer (automatic),25.25,996.45,No +7883-ROJOC,Female,0,Yes,No,19,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,44.9,839.65,No +0244-LGNFY,Female,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),92.65,6733,No +7274-CGTOD,Male,0,No,No,62,No,No phone service,DSL,Yes,Yes,Yes,Yes,No,No,Two year,Yes,Bank transfer (automatic),43.7,2618.3,No +4295-YURET,Female,1,Yes,Yes,56,Yes,No,DSL,Yes,No,No,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),72.6,4084.35,No +3426-NIYYL,Male,0,No,No,15,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,51.55,765.5,Yes +8225-BTJAU,Male,1,No,No,10,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,79.25,793.55,Yes +4635-EJYPD,Male,0,Yes,Yes,32,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,18.95,613.95,No +1866-ZSLJM,Male,0,No,No,21,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),20.5,402.85,No +4636-TVXVG,Male,0,Yes,Yes,62,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),19.95,1244.8,No +4236-UJPWO,Female,0,No,No,2,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,24.5,46.4,No +9392-XBGTD,Male,0,No,Yes,27,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.6,581.85,No +3387-VATUS,Male,0,No,No,5,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),94.85,462.8,Yes +6402-SSEJG,Female,0,No,No,25,No,No phone service,DSL,Yes,Yes,Yes,No,Yes,Yes,One year,No,Electronic check,61.05,1540.2,No +1143-NMNQJ,Female,0,No,No,2,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,85.7,169.8,Yes +1169-SAOCL,Male,0,No,No,49,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),106.65,5168.1,No +1110-KYLGQ,Female,0,No,No,63,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Month-to-month,No,Credit card (automatic),108.25,6780.1,No +9929-PLVPA,Female,0,No,Yes,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),20.4,94.5,No +3518-PZXZQ,Female,0,Yes,No,1,Yes,No,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Mailed check,55.3,55.3,No +2371-JUNGC,Male,0,No,No,11,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.25,208,No +7693-QPEFS,Male,1,No,No,52,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),72.95,3829.75,No +0924-BJCRC,Female,1,Yes,No,60,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,No,Electronic check,89.45,5294.6,No +5074-FBGHB,Male,0,No,No,64,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),104.65,6889.8,No +2351-BKRZW,Female,0,Yes,Yes,43,Yes,No,DSL,Yes,No,Yes,No,Yes,Yes,Two year,No,Bank transfer (automatic),75.2,3254.35,No +4455-BFSPD,Female,0,Yes,No,61,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,One year,No,Bank transfer (automatic),101.15,6383.9,No +0415-MOSGF,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,44.4,44.4,Yes +1724-BQUHA,Male,1,No,No,5,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,89.5,477.7,Yes +3948-KXDUF,Male,0,No,No,66,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,No,Two year,No,Bank transfer (automatic),68.75,4447.55,No +2323-ARSVR,Male,0,Yes,No,67,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,111.05,7321.05,No +0815-MFZGM,Female,0,Yes,No,42,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),99,4135,No +4826-XTSOH,Male,1,Yes,No,1,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,86.05,86.05,Yes +5480-XTFFL,Female,0,Yes,Yes,31,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,21,697.7,No +8295-FHIVV,Male,0,No,No,7,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.4,168.65,No +2495-INZWQ,Male,0,No,No,4,No,No phone service,DSL,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,44.55,174.3,Yes +9086-YJYXS,Male,0,Yes,Yes,34,Yes,Yes,DSL,No,No,Yes,No,Yes,Yes,One year,No,Bank transfer (automatic),77.2,2753.8,No +1179-INLAT,Male,0,No,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,19.45,69.25,No +7909-FIOIY,Female,0,Yes,Yes,19,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,24.85,434.8,No +4139-SUGLD,Male,0,Yes,Yes,31,No,No phone service,DSL,Yes,No,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),35.4,1077.5,Yes +6857-VWJDT,Female,0,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Mailed check,95.65,95.65,Yes +6351-SCJKT,Male,0,No,No,3,No,No phone service,DSL,Yes,No,Yes,Yes,No,No,Month-to-month,No,Mailed check,41.35,107.25,No +5468-BPMMO,Male,0,Yes,No,46,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,19.6,851.2,No +5624-BQSSA,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.95,20.95,Yes +0197-PNKNK,Female,0,Yes,Yes,69,Yes,Yes,Fiber optic,Yes,No,Yes,No,No,No,One year,No,Bank transfer (automatic),84.45,5848.6,No +2439-QKJUL,Male,0,No,No,5,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.25,109.8,No +1194-SPVSP,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),19.65,19.65,No +9534-NSXEM,Male,0,No,No,26,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Credit card (automatic),20.65,595.5,No +2408-WITXK,Female,1,No,No,10,No,No phone service,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,34.7,329.8,Yes +8929-KSWIH,Male,0,No,No,25,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),99.3,2513.5,No +2250-IVBWA,Male,0,Yes,Yes,64,Yes,No,Fiber optic,Yes,Yes,No,No,No,No,Month-to-month,No,Electronic check,81.05,5135.35,No +1810-MVMAI,Male,0,Yes,Yes,30,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,No,Month-to-month,No,Electronic check,67.6,2000.2,No +9506-UXUSK,Male,0,No,No,13,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.15,931.75,No +1229-RCALF,Female,0,Yes,No,64,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,115,7396.15,No +3572-UOLYZ,Female,0,No,Yes,46,Yes,Yes,Fiber optic,No,No,Yes,Yes,No,No,Month-to-month,Yes,Bank transfer (automatic),84.8,3958.85,No +1429-UYJSV,Female,0,No,No,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.7,260.9,No +5577-OTWWW,Female,0,No,No,15,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),19.75,297.3,Yes +6100-QQHEB,Male,0,Yes,Yes,17,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,92.55,1515.1,Yes +6366-XIVKZ,Female,0,Yes,Yes,13,Yes,No,DSL,Yes,No,Yes,No,No,Yes,Month-to-month,Yes,Mailed check,63.15,816.8,No +3470-OBUET,Female,0,Yes,Yes,67,Yes,Yes,DSL,Yes,Yes,No,Yes,Yes,No,Two year,No,Credit card (automatic),74,4868.4,No +2770-NSVDG,Male,0,Yes,No,24,No,No phone service,DSL,No,No,Yes,No,No,No,Month-to-month,No,Electronic check,29.1,688,No +9375-MHRRS,Male,0,No,No,6,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,No,Mailed check,50.05,288.35,No +2634-HCZGT,Male,1,Yes,No,53,Yes,Yes,DSL,Yes,No,No,Yes,No,No,One year,Yes,Electronic check,60.05,3229.65,Yes +7503-QQRVF,Male,1,Yes,No,16,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),74.3,1178.25,Yes +4860-YZGZM,Male,0,No,No,10,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,20,185.4,No +6599-GZWCM,Female,0,No,No,13,Yes,No,Fiber optic,No,Yes,No,No,No,No,One year,Yes,Mailed check,74.65,966.25,No +2691-NZETQ,Male,0,No,No,9,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,85.35,758.6,Yes +4404-HIBDJ,Female,0,No,No,25,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,No,One year,No,Mailed check,74.3,1863.8,Yes +5533-NHFRF,Male,1,No,No,7,No,No phone service,DSL,No,Yes,No,Yes,No,Yes,Month-to-month,Yes,Electronic check,44.4,265.8,No +7037-MTYVW,Male,0,Yes,Yes,38,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),85.4,3297,No +4760-THGOT,Female,0,Yes,No,43,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,94.1,4107.3,No +7295-JOMMD,Female,0,No,Yes,4,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),98.1,396.3,Yes +4016-BJKTZ,Female,0,No,No,25,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Electronic check,108.9,2809.05,No +6584-VQMYT,Male,0,No,Yes,27,Yes,No,DSL,Yes,Yes,No,No,No,No,One year,No,Mailed check,56.2,1567.55,No +9838-BFCQT,Male,0,Yes,Yes,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,26.1,1851.45,No +2790-XUYMV,Male,0,No,Yes,71,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,No,One year,Yes,Credit card (automatic),85.45,6028.95,No +0581-MDMPW,Female,0,No,No,24,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Credit card (automatic),88.95,2072.75,No +5013-SBUIH,Female,0,No,No,50,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,Two year,Yes,Electronic check,109.65,5551.15,Yes +1023-BQXZE,Male,0,No,No,57,Yes,No,DSL,Yes,No,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),74.35,4317.35,No +9163-GHAYE,Female,0,No,No,15,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,48.85,736.8,No +3904-UKFRE,Male,0,No,No,4,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,80.1,336.15,No +5353-WILCI,Female,0,No,No,28,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,No,Electronic check,56.05,1522.65,No +0709-TVGUR,Female,1,No,No,9,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.55,622.9,Yes +0058-EVZWM,Female,0,Yes,No,55,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),89.8,4959.6,No +6023-YEBUP,Male,0,No,No,3,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.95,329.95,Yes +7209-JCUDS,Male,0,No,No,10,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.9,1048.85,Yes +7009-PCARS,Male,0,No,Yes,55,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),19.1,1001.5,No +0519-DRGTI,Female,0,Yes,Yes,20,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.35,442.6,No +1017-FBQMM,Female,0,Yes,Yes,62,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,One year,Yes,Credit card (automatic),106.05,6703.5,No +3001-CBHLQ,Male,1,Yes,No,32,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,104.9,3351.55,Yes +1985-MBRYP,Female,0,No,No,43,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),19.65,779.25,No +6158-DWPZT,Male,0,Yes,No,9,No,No phone service,DSL,No,No,No,No,No,No,One year,No,Bank transfer (automatic),24.1,259.8,Yes +9372-TXXPS,Female,0,Yes,No,60,Yes,No,DSL,Yes,Yes,No,Yes,No,No,Two year,No,Bank transfer (automatic),59.85,3483.45,No +3259-QMXUN,Male,0,Yes,No,58,Yes,Yes,DSL,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Electronic check,86.1,4890.5,No +1015-JPFYW,Male,0,No,Yes,7,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.45,136.75,No +6645-MXQJT,Male,0,Yes,Yes,2,Yes,No,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,97.1,184.15,No +4360-QRAVE,Male,1,No,No,37,No,No phone service,DSL,No,Yes,Yes,No,No,No,Month-to-month,No,Electronic check,36.65,1315,No +8433-WPJTV,Female,1,Yes,Yes,65,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),103.9,6767.1,No +5804-JMYIO,Female,0,Yes,Yes,39,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.75,757.95,No +3763-GCZHZ,Male,0,Yes,No,66,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,One year,Yes,Electronic check,104.05,6890,Yes +6484-LATFU,Male,0,No,No,68,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,24.55,1657.4,No +7599-NTMDP,Female,0,Yes,Yes,62,No,No phone service,DSL,Yes,Yes,No,Yes,Yes,No,Two year,No,Bank transfer (automatic),48.7,3008.55,No +0772-GYEQQ,Male,0,No,No,3,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,No,Month-to-month,Yes,Mailed check,88.35,262.05,Yes +0536-ACXIP,Female,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Electronic check,109.55,8165.1,No +0936-NQLJU,Female,0,Yes,No,41,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.65,875.55,No +4831-EOBFE,Male,0,Yes,Yes,29,Yes,No,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,No,Credit card (automatic),94.65,2649.15,Yes +1575-KRZZE,Female,0,No,No,4,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,No,Electronic check,55.2,220.65,No +3251-YMVWZ,Male,0,No,No,53,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),24.05,1301.9,No +4102-OQUPX,Male,1,Yes,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.4,74.4,Yes +9170-GYZJC,Female,0,Yes,Yes,41,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,Month-to-month,No,Credit card (automatic),79.9,3326.2,Yes +4884-LEVMQ,Male,0,Yes,No,39,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),20.45,790,No +8857-CUPFQ,Male,0,Yes,No,63,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.25,1237.65,No +7610-TVOPG,Male,0,No,No,15,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,26.35,378.6,No +3638-DIMPH,Female,0,Yes,No,13,Yes,No,DSL,No,No,No,No,No,No,One year,No,Electronic check,43.8,592.65,No +1845-ZLLIG,Male,0,No,No,1,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,50.15,50.15,No +8559-WNQZS,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.45,20.45,No +3999-QGRJH,Male,1,No,No,8,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.7,560.85,Yes +1699-UOTXU,Male,0,No,No,60,Yes,No,DSL,Yes,Yes,Yes,No,No,No,Two year,No,Electronic check,61.4,3638.25,No +2454-RPBRZ,Female,1,Yes,No,12,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,98.1,1060.2,Yes +0635-WKOLD,Male,0,Yes,No,40,Yes,Yes,DSL,No,Yes,No,Yes,Yes,No,One year,No,Credit card (automatic),70.75,2921.75,No +5993-JSUWV,Female,0,No,No,66,Yes,No,DSL,Yes,Yes,Yes,No,No,No,Two year,Yes,Bank transfer (automatic),61.15,4017.45,No +4518-FZBSX,Male,0,Yes,Yes,42,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.25,854.9,No +5387-ASZNZ,Female,1,No,No,66,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,One year,Yes,Credit card (automatic),63.85,4174.35,No +6988-CJEYV,Male,0,No,No,49,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,No,Electronic check,98.7,4920.55,No +2002-MZHWP,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.5,20.5,Yes +3097-FQTVJ,Female,0,No,No,41,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20,810.3,No +5465-BUBFA,Female,0,Yes,Yes,41,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.3,772.4,No +7299-GNVPL,Female,0,Yes,Yes,23,Yes,No,Fiber optic,Yes,Yes,No,Yes,No,No,Month-to-month,No,Mailed check,84.4,1936.85,No +9743-DQKQW,Male,0,No,No,3,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,25.1,79.8,No +1215-VFYVK,Female,0,No,No,4,No,No phone service,DSL,Yes,No,Yes,Yes,No,Yes,Month-to-month,No,Mailed check,48.25,202.25,No +9371-BITHB,Female,0,Yes,Yes,52,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.85,1070.5,No +2265-CYWIV,Female,1,Yes,No,4,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.6,347.65,Yes +9093-FPDLG,Female,0,No,No,11,Yes,No,Fiber optic,No,Yes,Yes,Yes,No,Yes,Month-to-month,Yes,Electronic check,94.2,999.9,No +0541-FITGH,Female,0,Yes,No,2,Yes,No,DSL,Yes,No,No,No,No,Yes,Month-to-month,Yes,Mailed check,62.15,113.1,No +6985-HAYWX,Female,0,Yes,No,26,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,No,Bank transfer (automatic),79.3,2015.8,No +7508-KBIMB,Male,0,Yes,Yes,24,Yes,No,DSL,Yes,No,Yes,No,No,No,One year,Yes,Credit card (automatic),56.25,1454.25,No +6838-HVLXG,Female,0,No,No,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.3,246.7,No +2277-DJJDL,Male,1,Yes,No,60,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,99,6017.9,No +1897-OKVMW,Female,0,Yes,Yes,64,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Mailed check,90.6,5817.45,No +5485-ITNPC,Male,0,Yes,No,66,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),85.9,5595.3,No +0233-FTHAV,Female,0,No,No,60,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,One year,Yes,Bank transfer (automatic),79.2,4765,No +4644-PIZRT,Male,0,Yes,Yes,17,Yes,Yes,DSL,Yes,No,Yes,No,Yes,No,One year,Yes,Bank transfer (automatic),70.35,1201.65,No +8922-NPKBJ,Male,0,Yes,Yes,42,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.35,867.3,No +2740-TVLFN,Male,0,No,No,1,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,50.15,50.15,No +7771-CFQRQ,Female,0,Yes,Yes,47,Yes,No,DSL,No,Yes,No,Yes,No,Yes,Two year,No,Bank transfer (automatic),63.8,3007.25,No +9512-PHSMG,Female,0,Yes,No,10,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.55,252.75,No +6963-EZQEE,Male,1,Yes,No,70,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),88.55,6306.5,No +2452-KDRRH,Male,1,No,No,67,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),101.4,6841.05,No +2004-OCQXK,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,81.95,81.95,Yes +5027-QPKTE,Male,0,Yes,No,7,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.35,451.1,Yes +4146-SVFUD,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,44.6,44.6,No +1564-HJUVY,Male,0,No,No,4,Yes,No,DSL,No,Yes,No,Yes,Yes,No,Month-to-month,Yes,Bank transfer (automatic),63.75,226.2,No +3617-XLSGQ,Female,0,Yes,Yes,66,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Two year,No,Bank transfer (automatic),109.25,7082.5,No +7517-LDMPS,Female,0,No,No,12,Yes,No,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,84.6,1017.35,No +7244-KXYZN,Female,0,No,No,24,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),20.45,527.35,No +5226-NOZFC,Male,0,No,No,26,Yes,No,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,85.75,2146.5,No +2672-HUYVI,Female,0,No,No,6,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,91.1,455.3,Yes +1400-WIVLL,Male,0,Yes,No,57,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Two year,No,Electronic check,107.95,5969.85,No +7508-MYBOG,Male,0,Yes,No,14,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,86.1,1235.55,Yes +8148-NLEGT,Female,0,Yes,Yes,42,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Electronic check,22.95,1014.25,No +0148-DCDOS,Male,0,No,No,25,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),94.7,2362.1,Yes +8347-GDTMP,Female,0,Yes,No,64,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.45,1225.65,No +9992-RRAMN,Male,0,Yes,No,22,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,85.1,1873.7,Yes +6746-WAUWT,Male,0,No,No,19,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Credit card (automatic),19.7,386.5,No +0310-MVLET,Female,0,Yes,Yes,61,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.15,6010.05,Yes +0428-IKYCP,Male,0,Yes,No,22,Yes,No,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),87,1850.65,No +4550-VBOFE,Male,1,Yes,No,70,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,102.95,7101.5,Yes +2187-PKZAY,Male,0,No,No,12,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),79.95,1043.4,No +4003-OCTMP,Female,0,Yes,No,31,Yes,No,DSL,Yes,No,No,Yes,No,Yes,One year,Yes,Electronic check,64,1910.75,No +6652-YFFJO,Female,0,No,No,11,Yes,No,DSL,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,64.9,716.1,No +7225-IILWY,Male,0,Yes,Yes,68,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.75,1686.15,No +5248-RPYWW,Female,1,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),90.15,6716.45,No +7923-IYJWY,Male,1,No,No,67,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),116.1,7839.85,No +3170-GWYKC,Female,0,No,No,60,Yes,No,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),104.95,6236.75,No +5696-QURRL,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,45.05,45.05,Yes +7409-KIUTL,Female,1,No,Yes,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,71,71,Yes +9830-ECLEN,Male,0,Yes,Yes,58,No,No phone service,DSL,Yes,Yes,Yes,No,Yes,No,One year,No,Mailed check,50,2919.85,No +1732-VHUBQ,Female,1,Yes,Yes,47,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),70.55,3309.25,Yes +0495-RVCBF,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,79.7,79.7,Yes +2668-TZSPS,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.45,20.45,No +7854-EDSSA,Male,0,No,No,22,Yes,Yes,DSL,Yes,Yes,No,No,No,No,Month-to-month,No,Electronic check,59,1254.7,Yes +8869-TORSS,Female,0,No,No,48,Yes,No,DSL,Yes,No,Yes,Yes,No,No,One year,Yes,Credit card (automatic),60.35,2896.4,Yes +7446-SFAOA,Female,0,Yes,No,37,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),19.85,717.5,No +9522-ZSINC,Male,0,No,No,13,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Electronic check,19.95,253.8,No +8234-GSZYK,Male,0,No,No,43,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),26.45,1110.05,No +6505-OZNPG,Female,0,No,No,6,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Mailed check,63.4,348.8,No +6164-HAQTX,Male,0,No,No,71,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,No,Bank transfer (automatic),53.95,3888.65,No +0679-IDSTG,Female,1,Yes,Yes,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.25,69.25,Yes +7765-LWVVH,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,No,Two year,Yes,Electronic check,95.1,6843.15,No +1658-TJVOA,Female,1,No,No,6,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.1,450.9,No +0953-LGOVU,Male,0,Yes,Yes,12,No,No phone service,DSL,No,Yes,No,Yes,No,No,Month-to-month,No,Mailed check,35.5,432.25,No +2115-BFTIW,Male,0,No,No,25,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Mailed check,70.95,1767.35,Yes +4692-NNQRU,Female,0,Yes,No,21,Yes,No,Fiber optic,No,No,Yes,Yes,No,No,One year,No,Electronic check,79.2,1742.45,No +7742-MYPGI,Female,0,Yes,Yes,6,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Mailed check,48.8,297.35,No +0611-DFXKO,Male,0,Yes,No,20,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Mailed check,89,1820.45,Yes +7780-OTDSO,Male,0,Yes,No,18,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.4,1742.95,Yes +9619-GSATL,Female,0,No,No,43,Yes,No,DSL,No,Yes,No,Yes,No,No,One year,No,Electronic check,55.45,2444.25,No +5622-UEJFI,Female,0,Yes,Yes,35,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),25.4,949.8,No +9747-DDZOS,Female,0,No,No,1,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,No,Bank transfer (automatic),73.5,73.5,Yes +0674-DGMAQ,Male,1,Yes,No,32,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,93.5,2970.8,No +6203-HBZPA,Male,0,No,No,52,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),63.9,3334.95,No +0484-FFVBJ,Male,0,No,No,32,Yes,No,DSL,No,No,No,No,Yes,Yes,One year,Yes,Bank transfer (automatic),64.85,2010.95,No +0301-FIDRB,Female,0,Yes,Yes,72,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),63.8,4684.3,No +4139-JPIAM,Male,0,No,No,51,No,No phone service,DSL,Yes,No,No,Yes,No,Yes,Month-to-month,Yes,Credit card (automatic),44.45,2181.55,No +2181-TIDSV,Male,0,Yes,Yes,68,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),19.95,1303.25,No +2761-XECQW,Male,1,Yes,No,8,No,No phone service,DSL,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Mailed check,43.35,371.4,No +1936-CZAKF,Male,0,Yes,No,49,No,No phone service,DSL,No,Yes,No,No,Yes,Yes,Two year,No,Credit card (automatic),49.65,2409.9,No +9453-PATOS,Female,0,Yes,No,72,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Mailed check,85.1,6155.4,No +0564-JJHGS,Male,0,No,No,9,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.5,829.1,Yes +3348-CFRNX,Female,0,Yes,No,28,Yes,No,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Mailed check,92.35,2602.9,Yes +4402-FTBXC,Male,0,No,No,54,Yes,No,Fiber optic,Yes,No,Yes,No,Yes,No,Month-to-month,No,Mailed check,89.8,4667,No +1428-GTBJJ,Male,0,No,No,11,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,74.55,824.75,Yes +2931-XIQBR,Female,0,Yes,Yes,50,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,Yes,One year,No,Mailed check,103.05,5153.5,No +0106-UGRDO,Female,0,Yes,No,69,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,116,8182.85,No +5542-TBBWB,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.9,69.9,No +1930-QPBVZ,Male,0,Yes,Yes,68,Yes,No,Fiber optic,Yes,Yes,No,Yes,No,Yes,Two year,No,Bank transfer (automatic),95.1,6683.4,No +2606-PKWJB,Male,0,No,Yes,40,No,No phone service,DSL,Yes,Yes,No,Yes,No,No,One year,No,Mailed check,40.25,1564.05,No +5322-ZSMZY,Male,0,Yes,Yes,31,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.75,755.6,No +8059-UDZFY,Female,1,No,Yes,33,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),105.35,3465.05,No +7740-BTPUX,Male,1,Yes,No,55,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,113.6,6292.7,No +5220-AGAAX,Male,0,Yes,Yes,68,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),24,1664.3,No +0208-BPQEJ,Female,0,Yes,Yes,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),19.4,198.1,No +9435-JMLSX,Male,0,Yes,No,71,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),86.1,6045.9,No +3352-ALMCK,Male,0,No,No,40,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Mailed check,102.65,4108.15,No +5312-IRCFR,Female,0,Yes,Yes,64,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,One year,Yes,Electronic check,92.85,5980.75,No +5294-IMHHT,Male,0,Yes,No,53,Yes,Yes,Fiber optic,No,Yes,No,Yes,No,Yes,One year,No,Bank transfer (automatic),97.75,5043.2,No +8802-UNOJF,Male,1,No,No,12,Yes,No,Fiber optic,No,Yes,Yes,Yes,No,No,Month-to-month,Yes,Mailed check,83.8,1029.75,Yes +6313-GIDIT,Male,1,No,No,53,No,No phone service,DSL,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,54.45,2854.55,Yes +6176-YJWAS,Male,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,No,Two year,Yes,Credit card (automatic),97.95,7114.25,No +5310-NOOVA,Male,0,No,No,46,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Electronic check,19.95,907.05,No +4526-EXKKN,Male,0,No,No,40,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,24.6,973.95,No +5311-IHLEI,Male,0,No,No,12,No,No phone service,DSL,Yes,Yes,No,Yes,Yes,No,Month-to-month,Yes,Bank transfer (automatic),50.95,605.75,No +3987-KQDDU,Male,0,No,No,9,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,No,Electronic check,75.6,661.55,No +3404-JNXAX,Female,0,Yes,Yes,51,Yes,Yes,Fiber optic,No,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,80.75,4116.9,No +5131-PONJI,Male,0,Yes,Yes,49,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Credit card (automatic),90.4,4494.65,No +2845-AFFTX,Male,1,Yes,No,41,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.8,4259.3,Yes +3489-VSFRD,Female,0,No,No,56,Yes,No,DSL,Yes,No,Yes,Yes,No,No,One year,Yes,Credit card (automatic),60.25,3282.75,No +3345-JHUEO,Male,0,No,No,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,20.2,55.7,No +5815-HGGHV,Male,0,Yes,No,20,Yes,No,DSL,Yes,No,No,Yes,No,Yes,One year,Yes,Mailed check,64.15,1274.45,No +5260-UMPWX,Female,0,Yes,Yes,26,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),20.25,493.95,No +2249-YPRNG,Female,0,Yes,Yes,20,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),105.85,2239.65,Yes +7410-YTJIK,Female,0,No,No,7,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Mailed check,75.45,480.75,Yes +4626-GYCZP,Male,0,No,No,7,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,93.85,635.6,Yes +5649-RXQTV,Male,0,No,No,51,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,99,5038.15,No +2674-MIAHT,Female,0,No,No,4,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,80.3,324.2,No +2576-HXMPA,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),19.55,19.55,No +7587-AOVVU,Male,0,Yes,Yes,27,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,No,Month-to-month,No,Electronic check,100.75,2793.55,No +5590-BYNII,Male,0,No,No,22,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.75,2095,Yes +6898-MDLZW,Male,0,No,No,12,Yes,No,DSL,No,Yes,No,Yes,No,No,Month-to-month,Yes,Mailed check,53.75,648.65,No +3237-AJGEH,Female,0,Yes,Yes,3,No,No phone service,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Mailed check,31,95.05,Yes +4707-YNOQA,Female,0,Yes,Yes,34,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Credit card (automatic),25.6,917.15,No +9357-UJRUN,Male,0,Yes,No,24,Yes,Yes,DSL,Yes,No,No,Yes,No,No,One year,Yes,Electronic check,58.35,1346.9,No +1591-NFNLQ,Male,0,No,No,51,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,No,Credit card (automatic),80,4242.35,Yes +8648-PFRMP,Female,1,No,No,14,No,No phone service,DSL,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,46.35,672.7,No +7663-CUXZB,Male,0,Yes,No,59,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Electronic check,113.75,6561.25,No +0258-NOKBL,Male,0,No,No,3,Yes,No,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,No,Electronic check,90.4,268.45,No +1163-VIPRI,Female,0,Yes,Yes,65,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Electronic check,109.3,7337.55,No +2815-CPTUL,Male,1,No,No,5,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,70.25,331.9,Yes +9348-ROUAI,Female,0,Yes,Yes,59,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),90.3,5194.05,No +9443-JUBUO,Male,0,Yes,Yes,72,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),65.25,4478.85,No +0596-BQCEQ,Female,0,Yes,Yes,62,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.15,6283.3,Yes +1481-ZUWZA,Male,0,No,No,28,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),94.5,2659.4,Yes +3043-TYBNO,Male,0,No,No,3,Yes,No,DSL,No,No,No,Yes,No,Yes,Month-to-month,No,Mailed check,60.65,196.9,No +4830-FAXFM,Male,0,No,Yes,19,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),24.1,439.2,No +5906-BFOZT,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.5,19.5,No +2960-NKRSO,Male,0,No,No,24,Yes,No,Fiber optic,No,Yes,Yes,Yes,No,No,Month-to-month,Yes,Electronic check,85.95,2107.15,No +8996-ZROXE,Male,1,No,No,57,Yes,No,DSL,No,No,Yes,Yes,No,No,One year,Yes,Electronic check,53.5,3035.8,No +5598-IKHQQ,Female,0,No,No,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.45,1866.45,No +0397-ZXWQF,Male,0,No,No,67,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.5,1430.95,No +5266-PFRQK,Male,0,Yes,Yes,52,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Credit card (automatic),20.85,1071.6,No +4674-HGNUA,Male,0,Yes,Yes,71,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),89.9,6457.15,No +6765-MBQNU,Female,0,Yes,No,26,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,26,684.05,No +9786-IJYDL,Female,0,No,No,35,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Mailed check,113.2,3914.05,No +1303-SRDOK,Female,0,Yes,Yes,55,Yes,No,Fiber optic,No,No,No,No,No,No,Two year,Yes,Credit card (automatic),69.05,3842.6,No +3769-MHZNV,Female,0,Yes,Yes,33,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.1,670.35,No +6295-OSINB,Male,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Electronic check,109.65,7880.25,No +3308-MHOOC,Male,0,No,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.2,19.2,No +2309-OSFEU,Male,0,No,No,10,No,No phone service,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Mailed check,33.9,298.45,Yes +2207-QPJED,Female,1,Yes,No,37,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,No,Month-to-month,No,Electronic check,90,3371.75,No +4177-JPDFU,Male,0,No,No,12,No,No phone service,DSL,No,Yes,No,Yes,No,No,Month-to-month,No,Mailed check,34,442.45,No +2239-CFOUJ,Male,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.4,20.4,No +8046-DNVTL,Male,0,Yes,No,62,No,No phone service,DSL,Yes,Yes,No,Yes,No,No,Two year,Yes,Credit card (automatic),38.6,2345.55,No +2209-XADXF,Female,0,No,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),25.25,25.25,No +6620-JDYNW,Female,0,No,No,18,Yes,Yes,DSL,Yes,No,Yes,No,No,No,Month-to-month,Yes,Mailed check,60.6,1156.35,No +1891-FZYSA,Male,1,Yes,No,69,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,89.95,6143.15,Yes +4770-UEZOX,Male,0,No,No,2,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,74.75,144.8,No +1038-RQOST,Male,0,Yes,Yes,19,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.6,414.95,No +7613-LLQFO,Male,0,No,No,12,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,84.45,1059.55,Yes +4568-TTZRT,Male,0,No,No,9,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.4,181.8,No +9513-DXHDA,Male,0,No,No,27,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,One year,No,Electronic check,81.7,2212.55,No +2640-PMGFL,Male,0,No,Yes,27,Yes,Yes,Fiber optic,No,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,79.5,2180.55,Yes +3801-HMYNL,Male,0,Yes,Yes,1,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Mailed check,89.15,89.15,Yes +0516-QREYC,Female,1,No,No,24,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.3,459.95,No +9685-WKZGT,Male,1,No,No,14,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.95,1036.75,Yes +6022-UGGSO,Female,1,No,No,32,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,74.4,2276.95,Yes +8084-OIVBS,Female,0,No,No,11,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20,211.95,No +8896-BQTTI,Male,0,No,No,1,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,25,25,No +3865-QBWSJ,Male,1,No,Yes,38,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Mailed check,80.45,3162.65,No +3352-RICWQ,Female,0,Yes,Yes,9,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.75,210.65,No +2160-GPFXD,Male,0,Yes,Yes,54,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,Two year,Yes,Credit card (automatic),65.65,3566.7,No +2065-MMKGR,Female,0,No,No,29,Yes,Yes,DSL,No,No,No,No,Yes,Yes,One year,Yes,Credit card (automatic),71,2080.1,No +5857-TYBCJ,Male,1,Yes,No,44,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,89.2,4040.2,No +1498-NHTLT,Male,0,Yes,Yes,59,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,86.75,5186,No +4484-CGXFK,Female,0,No,No,3,Yes,No,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,55.3,196.15,Yes +1402-PTHGN,Female,0,Yes,Yes,18,Yes,No,DSL,Yes,Yes,No,Yes,No,No,One year,Yes,Mailed check,61.5,1087.45,No +4176-RELJR,Male,1,No,No,67,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.1,1672.15,No +6214-EDAKZ,Female,0,Yes,Yes,22,Yes,No,DSL,No,Yes,No,Yes,No,No,Month-to-month,No,Electronic check,55.15,1206.05,Yes +5199-FPUSP,Male,0,No,Yes,33,No,No phone service,DSL,Yes,No,No,Yes,No,No,One year,No,Credit card (automatic),34.05,1113.95,No +6377-KSLXC,Male,0,No,No,5,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.95,107.05,No +1796-JANOW,Female,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.95,38.15,No +0238-WHBIQ,Male,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),89.7,6339.3,No +8735-NBLWT,Male,0,No,Yes,9,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.4,184.1,No +6651-RLGGM,Male,0,Yes,Yes,67,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,26.3,1688.9,No +6127-ISGTU,Female,0,Yes,No,16,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,84.95,1378.25,Yes +1614-JBEBI,Female,0,No,No,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.7,137.6,No +8740-XLHDR,Male,0,No,No,5,No,No phone service,DSL,Yes,Yes,Yes,Yes,No,No,Month-to-month,Yes,Mailed check,43.25,219,Yes +1208-DNHLN,Male,0,Yes,Yes,23,Yes,Yes,DSL,No,No,No,No,No,No,One year,Yes,Credit card (automatic),48.35,1067.15,Yes +1761-AEZZR,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,79.55,79.55,Yes +3923-CSIHK,Female,1,Yes,No,50,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,71.05,3444.85,Yes +5696-EXCYS,Male,0,No,No,17,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.45,369.05,No +5795-KTGUD,Female,0,Yes,No,68,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),110.8,7553.6,No +7120-RFMVS,Male,0,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,No,Electronic check,84.5,84.5,Yes +7924-GJZFI,Female,1,Yes,No,25,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.3,1813.1,No +4702-HDRKD,Male,0,No,No,67,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,No,One year,Yes,Bank transfer (automatic),49.35,3321.35,No +8512-WIWYV,Male,0,No,No,32,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),20.35,707.5,No +5897-ZYEKH,Female,1,Yes,No,67,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,Yes,One year,Yes,Electronic check,105.6,7112.15,No +5456-ITGIC,Male,1,Yes,No,72,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),64.45,4641.1,No +7317-GGVPB,Male,0,Yes,No,71,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),108.6,7690.9,Yes +1406-PUQVY,Male,0,No,Yes,1,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,49.9,49.9,No +1322-AGOQM,Male,0,No,No,46,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,No,Bank transfer (automatic),30.3,1380.1,Yes +3677-IYRBF,Female,1,No,No,2,No,No phone service,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,30.4,78.65,Yes +5692-FPTAH,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,45.4,45.4,Yes +9114-AAFQH,Female,0,Yes,No,48,Yes,No,DSL,No,Yes,Yes,No,No,Yes,One year,Yes,Electronic check,65.65,3094.65,No +8715-KKTFG,Female,0,Yes,No,61,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),103.3,6518.35,No +1550-LOAHA,Female,0,Yes,No,32,Yes,No,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,No,Bank transfer (automatic),84.15,2585.95,Yes +1728-BQDMA,Female,0,No,No,2,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,44.45,82.7,No +0268-QKIWO,Female,0,No,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,19.75,58.85,Yes +0876-WDUUZ,Female,0,No,No,5,Yes,No,Fiber optic,No,No,No,Yes,No,Yes,Month-to-month,Yes,Credit card (automatic),85.4,425.9,Yes +5117-ZSMHQ,Female,0,Yes,Yes,71,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),89.9,6342.7,No +5151-HQRDG,Male,0,Yes,No,37,Yes,Yes,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Mailed check,55.05,2030.75,No +0960-HUWBM,Male,0,Yes,Yes,65,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),104.1,6700.05,No +6465-GSRCL,Female,0,No,Yes,67,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),106.6,7244.7,No +0617-FHSGK,Male,0,No,Yes,49,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Credit card (automatic),75.2,3678.3,Yes +0263-FJTQO,Male,0,Yes,Yes,50,Yes,Yes,DSL,Yes,No,No,Yes,Yes,No,Two year,Yes,Credit card (automatic),70.5,3486.65,No +7319-ZNRTR,Male,0,Yes,Yes,25,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Electronic check,19.6,411.15,No +2858-MOFSQ,Female,0,No,Yes,17,Yes,Yes,DSL,No,No,Yes,No,No,No,One year,Yes,Mailed check,55.85,937.5,Yes +7503-EPSZW,Female,0,Yes,Yes,64,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,24.05,1559.15,No +7089-XXAYG,Male,0,Yes,No,25,No,No phone service,DSL,No,No,Yes,No,Yes,No,One year,Yes,Credit card (automatic),38.1,970.4,No +8118-LSUEL,Male,1,No,No,23,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,106.4,2483.5,Yes +8070-AAWZP,Male,1,Yes,No,24,No,No phone service,DSL,No,No,Yes,Yes,No,No,Month-to-month,No,Mailed check,34.25,828.2,No +1666-JXLKU,Female,0,No,No,37,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.05,3810.55,No +7855-DIWPO,Female,0,No,No,21,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,68.65,1493.2,No +5133-POWUA,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,45.8,45.8,No +5652-MSDEY,Female,0,No,No,10,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,75.75,777.3,No +7005-CCBKV,Male,0,No,No,6,Yes,No,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,84.4,556.35,Yes +1810-BOHSY,Male,0,Yes,No,51,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,Yes,One year,Yes,Credit card (automatic),96.4,4911.05,No +1784-BXEFA,Female,0,No,No,10,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.55,187.35,No +7351-MHQVU,Female,0,No,No,6,No,No phone service,DSL,Yes,Yes,No,Yes,No,Yes,Month-to-month,No,Credit card (automatic),50.95,307.6,No +9224-VTYID,Male,0,Yes,Yes,47,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Mailed check,90.5,4318.35,No +9500-IWPXQ,Female,0,Yes,Yes,61,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,One year,Yes,Electronic check,79.4,4820.55,No +5762-TJXGK,Female,0,No,No,52,No,No phone service,DSL,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),58.75,3038.55,No +4504-YOULA,Female,0,Yes,Yes,35,Yes,Yes,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),59.45,2136.9,No +5569-IDSEY,Male,0,Yes,No,71,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),105.7,7472.15,No +4250-FDVOU,Female,0,No,No,6,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,No,Electronic check,56.25,389.1,Yes +7284-ZZLOH,Male,0,Yes,No,45,Yes,No,DSL,Yes,No,Yes,No,No,No,Two year,No,Credit card (automatic),53.3,2296.25,No +5277-ZLOOR,Female,1,No,No,2,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,85.55,187.45,Yes +2141-RRYGO,Female,0,No,No,4,Yes,No,DSL,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),68.65,261.25,Yes +1777-JYQPJ,Male,0,No,No,2,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,24.3,38.45,No +6376-GAHQE,Male,0,No,No,4,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,No,Electronic check,77.85,299.2,Yes +3401-URHDA,Male,0,No,No,51,Yes,Yes,DSL,Yes,No,No,Yes,No,No,One year,No,Credit card (automatic),59.9,3043.6,No +1599-EAHXY,Male,0,Yes,Yes,60,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),23.95,1506.4,No +8631-XVRZL,Male,0,No,No,9,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,20.15,163.7,No +5052-PNLOS,Male,0,No,No,3,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),105.35,323.25,Yes +3853-LYGAM,Male,0,No,No,17,Yes,Yes,Fiber optic,No,No,Yes,Yes,No,Yes,Month-to-month,Yes,Bank transfer (automatic),95.65,1640,No +6979-ZNSFF,Female,0,No,No,8,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,87.05,762.1,Yes +5751-USDBL,Male,0,Yes,Yes,46,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Mailed check,81,3846.35,No +5680-LQOGP,Female,0,No,No,68,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),82.45,5646.6,No +2386-LAHRK,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Mailed check,53.5,53.5,Yes +8189-DUKMV,Female,0,Yes,No,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),20.5,79.05,No +6032-IGALN,Female,0,No,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,25.1,25.1,Yes +9931-DCEZH,Male,0,No,Yes,28,Yes,No,DSL,No,Yes,No,Yes,No,No,One year,Yes,Credit card (automatic),54.4,1516.6,No +1898-JSNDC,Female,0,No,No,39,Yes,No,DSL,No,Yes,No,No,Yes,No,One year,Yes,Credit card (automatic),58.6,2224.5,No +0315-LVCRK,Male,0,No,No,11,Yes,No,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,No,Electronic check,84.8,888.75,No +3911-RSNHI,Female,0,Yes,No,71,No,No phone service,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),61.4,4310.35,No +2410-CIYFZ,Male,0,No,Yes,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.4,42.9,No +4248-HCETZ,Male,1,Yes,No,30,Yes,No,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Mailed check,79.65,2365.15,Yes +5505-OVWQW,Female,0,No,No,17,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.15,353.65,No +7271-AJDTL,Female,0,Yes,No,55,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Credit card (automatic),94.45,5073.1,No +1867-TJHTS,Female,0,No,No,58,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),79.8,4526.85,No +0516-WJVXC,Female,0,No,No,5,Yes,No,DSL,Yes,No,No,Yes,No,No,Month-to-month,No,Electronic check,54.2,308.25,Yes +9174-FKWZE,Female,1,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,19.45,19.45,Yes +6860-YRJZP,Male,1,No,No,9,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.05,678.45,No +4429-WYGFR,Male,0,No,No,26,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),49.15,1237.3,No +2817-LVCPP,Female,0,No,No,50,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.4,1023.95,No +5038-ETMLM,Female,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),113.65,8182.75,No +5056-FIMPT,Female,0,No,Yes,43,Yes,No,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,One year,Yes,Credit card (automatic),106,4532.3,No +4521-WFJAI,Male,0,No,No,56,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),25.95,1444.05,No +6569-KTMDU,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.1,19.1,No +8809-RIHDD,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Electronic check,103.4,7372.65,Yes +8809-XKHMD,Male,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,No,Yes,Two year,Yes,Bank transfer (automatic),100.55,7325.1,No +0396-YCHWO,Male,0,Yes,No,36,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.4,3474.2,No +0867-LDTTC,Male,0,No,No,5,Yes,No,DSL,No,No,Yes,Yes,Yes,Yes,Month-to-month,No,Bank transfer (automatic),75.15,392.65,No +4822-NGOCH,Female,0,No,No,13,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,84.45,1058.6,Yes +9391-DXGGG,Female,1,No,No,44,Yes,No,Fiber optic,No,Yes,Yes,No,No,Yes,One year,No,Credit card (automatic),89.15,3990.75,No +9844-FELAJ,Female,1,Yes,Yes,70,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,107.9,7475.85,No +2122-SZZZD,Male,0,No,No,44,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.5,835.5,No +5307-DZCVC,Female,1,Yes,No,32,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),85.95,2628.6,Yes +3148-AOIQT,Female,0,Yes,No,69,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),24.95,1718.35,No +8679-JOEVF,Female,1,No,No,16,Yes,No,DSL,No,No,No,Yes,Yes,No,Month-to-month,No,Electronic check,59.4,1023.9,Yes +8395-ETZKQ,Male,1,Yes,Yes,68,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),19.5,1193.55,No +6692-YQHXC,Male,0,No,No,16,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),69.95,1205.5,No +3889-VWBID,Male,0,Yes,Yes,68,Yes,No,DSL,Yes,Yes,No,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),82.85,5776.45,No +5222-JCXZT,Male,0,No,No,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19,78.9,No +9754-CLVZW,Female,0,Yes,Yes,26,No,No phone service,DSL,Yes,Yes,No,Yes,No,No,Month-to-month,No,Credit card (automatic),38.85,1025.15,No +1432-FPAXX,Female,0,No,No,29,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,30.6,856.35,Yes +2739-CCZMB,Male,0,No,Yes,5,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),20.35,122,No +7080-TNUWP,Male,0,Yes,No,70,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,One year,Yes,Bank transfer (automatic),95,6602.9,No +0496-AHOOK,Male,0,Yes,No,24,Yes,No,DSL,Yes,No,No,Yes,Yes,Yes,One year,No,Bank transfer (automatic),74.4,1712.9,No +8336-TAVKX,Female,1,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,No,Bank transfer (automatic),78.45,5682.25,No +2468-SJFLM,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,Yes,No,No,Month-to-month,Yes,Mailed check,74.3,74.3,No +3181-VTHOE,Male,0,Yes,No,70,No,No phone service,DSL,No,Yes,Yes,Yes,No,Yes,One year,Yes,Bank transfer (automatic),51.05,3635.15,No +7168-HDQHG,Female,0,Yes,Yes,36,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),19.2,702.9,No +4803-AXVYP,Female,1,No,No,38,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,99.55,3734.25,Yes +3884-HCSWG,Female,0,No,No,17,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70,1144.5,Yes +4567-AKPIA,Female,0,Yes,Yes,41,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),109.1,4454.25,No +5077-DXTCG,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,45.3,45.3,Yes +1142-WACZW,Male,0,No,No,2,No,No phone service,DSL,No,No,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),29.85,75.6,Yes +7901-HXJVA,Male,0,No,No,14,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,No,Electronic check,76.45,1117.55,No +5649-ANRML,Male,1,No,No,2,Yes,No,Fiber optic,No,Yes,Yes,Yes,No,Yes,Month-to-month,Yes,Credit card (automatic),95.1,180.25,Yes +4892-VLANZ,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.8,19.8,Yes +5924-IFQTT,Male,0,Yes,Yes,13,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,No,Month-to-month,Yes,Electronic check,72.8,930.05,No +7968-QUXNS,Male,0,No,No,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,18.95,110.15,No +2919-HBCJO,Female,0,No,No,4,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),76.65,333.6,Yes +4236-XPXAV,Female,0,Yes,Yes,5,Yes,No,Fiber optic,No,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Mailed check,99.15,465.05,Yes +8903-WMRNW,Female,0,Yes,No,15,Yes,No,Fiber optic,Yes,No,Yes,No,Yes,Yes,Month-to-month,No,Electronic check,101.75,1669.4,No +2452-SNHFZ,Female,0,No,No,47,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,No,Credit card (automatic),75.45,3545.1,No +3629-WEAAM,Female,0,No,No,8,Yes,No,DSL,No,No,Yes,Yes,No,Yes,Month-to-month,No,Mailed check,64.1,504.05,No +6029-CSMJE,Male,0,No,No,17,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,25.65,440.2,No +7993-NQLJE,Male,0,Yes,Yes,15,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,No,Mailed check,75.1,1151.55,No +9909-DFRJA,Female,0,No,No,26,Yes,No,Fiber optic,Yes,No,Yes,Yes,No,Yes,One year,Yes,Bank transfer (automatic),95.85,2475.35,No +9099-FTUHS,Female,0,No,No,23,Yes,Yes,DSL,Yes,No,No,No,No,No,Month-to-month,No,Electronic check,54.4,1249.25,No +0581-BXBUB,Female,1,No,No,4,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,72.75,317.75,No +4962-CHQPW,Male,0,No,Yes,29,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.85,535.05,No +9467-ROOLM,Female,0,No,No,25,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.05,461.3,No +3030-YZADT,Male,0,No,No,9,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,44.95,431,Yes +7410-KTVFV,Male,0,Yes,No,18,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Mailed check,49.55,878.35,Yes +5150-ITWWB,Male,1,No,No,3,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.85,335.75,No +2253-KPMNB,Female,0,Yes,Yes,69,No,No phone service,DSL,Yes,Yes,Yes,Yes,No,No,Two year,No,Bank transfer (automatic),46.25,3121.4,No +1345-ZUKID,Male,0,No,No,14,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.35,324.8,No +6429-SHBCB,Male,0,No,No,19,Yes,Yes,DSL,No,No,No,No,Yes,Yes,Month-to-month,No,Mailed check,69.6,1394.55,No +9281-OFDMF,Male,1,No,No,39,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,No,Electronic check,90.7,3413.25,No +2603-HVKCG,Male,0,No,No,31,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,101.4,3143.65,No +1834-WULEG,Male,0,Yes,Yes,24,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.25,439.75,No +9097-ZUBYC,Male,0,Yes,No,14,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),48.8,664.4,No +5148-ORICT,Female,0,Yes,No,64,Yes,No,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,Yes,Mailed check,74.35,4759.55,No +4893-GYUJU,Female,0,No,No,50,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,19.35,1033,No +4578-PHJYZ,Male,0,Yes,Yes,52,Yes,No,DSL,No,Yes,Yes,Yes,Yes,No,One year,Yes,Electronic check,68.75,3482.85,No +7272-QDCKA,Male,0,No,No,28,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,One year,No,Electronic check,100.2,2688.45,No +8908-SLFCJ,Female,0,No,No,21,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),20.85,435.25,No +8393-DLHGA,Male,0,No,Yes,25,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.9,2448.75,Yes +9766-HGEDE,Female,0,Yes,No,17,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.35,307,No +6968-MHOMU,Male,0,Yes,No,58,No,No phone service,DSL,No,No,No,No,Yes,Yes,One year,Yes,Credit card (automatic),45,2689.35,No +7395-IGJOS,Male,1,Yes,No,17,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Bank transfer (automatic),81.5,1329.2,Yes +5044-XDPYX,Female,0,Yes,No,51,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.5,1281.25,No +1814-WFGVS,Male,0,Yes,Yes,72,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,No,Two year,No,Mailed check,48.9,3527,No +2834-SPCJV,Male,0,Yes,No,52,Yes,No,Fiber optic,Yes,No,No,No,Yes,No,Month-to-month,No,Electronic check,84.1,4348.65,Yes +3721-WKIIL,Female,0,No,No,27,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,19.6,561.15,No +6734-CKRSM,Female,0,No,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20,63.6,No +1265-ZFOSD,Female,0,Yes,No,64,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,Yes,Mailed check,81.3,5129.3,No +6568-POCUI,Female,0,Yes,No,45,Yes,No,Fiber optic,No,No,No,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),95.2,4285.8,No +7890-VYYWG,Male,1,Yes,No,3,No,No phone service,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Mailed check,36.45,93.7,Yes +5197-LQXXH,Female,0,Yes,No,71,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),83.3,5894.5,No +9907-SWKKF,Female,1,No,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,25.05,25.05,Yes +3457-PQBYH,Female,0,Yes,Yes,58,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.3,1160.75,No +7682-AZNDK,Male,0,Yes,Yes,34,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,89.85,3091.75,No +0587-DMGBH,Female,0,No,No,8,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,49.85,365.55,Yes +5384-ZTTWP,Female,0,Yes,Yes,15,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.8,272.95,No +3745-HRPHI,Male,0,Yes,Yes,66,No,No phone service,DSL,No,No,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),54.65,3632,No +7636-OWBPG,Male,1,No,No,12,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),29.35,381.2,No +1231-YNDEK,Male,0,No,No,58,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),19.15,1035.5,No +1407-DIGZV,Female,0,Yes,Yes,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.1,52,No +6397-JNZZG,Female,1,Yes,No,43,No,No phone service,DSL,No,Yes,Yes,No,Yes,Yes,Month-to-month,No,Credit card (automatic),55.55,2342.2,Yes +0570-BFQHT,Female,0,No,No,9,Yes,No,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,No,Electronic check,80.55,653.9,No +4393-OBCRR,Female,0,No,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.25,71.2,No +3523-QRQLL,Female,0,Yes,Yes,22,Yes,No,DSL,No,Yes,No,No,Yes,Yes,One year,Yes,Bank transfer (automatic),69.5,1498.2,Yes +8564-LDKFL,Male,0,Yes,No,40,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),106,4178.65,No +3696-DFHHB,Female,0,No,No,68,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),25.5,1821.8,No +0895-DQHEW,Male,0,Yes,No,54,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,104.3,5278.15,Yes +4717-GHADL,Female,0,No,No,50,Yes,Yes,DSL,No,Yes,No,Yes,Yes,Yes,Two year,Yes,Mailed check,79.6,4024.2,No +5501-TVMGM,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,55.25,55.25,No +5879-HMFFH,Female,0,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),88.05,6520.8,No +6772-WFQRD,Male,0,No,Yes,40,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),20.4,854.9,No +3810-DVDQQ,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),117.6,8308.9,No +6972-SNKKW,Female,0,No,No,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20,109.2,No +3694-GLTJM,Female,0,No,No,5,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),19.65,92.05,No +8550-XSXUQ,Male,0,Yes,No,48,Yes,Yes,DSL,No,Yes,Yes,No,No,Yes,One year,Yes,Credit card (automatic),70.55,3420.5,No +8149-RSOUN,Female,0,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,93.85,93.85,Yes +9055-MOJJJ,Female,0,Yes,Yes,64,Yes,No,DSL,Yes,No,No,Yes,Yes,No,One year,No,Mailed check,65.8,4068,No +4359-INNWN,Female,0,No,No,17,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),20.05,337.9,No +0585-EGDDA,Male,0,Yes,No,40,Yes,No,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,80,3168.75,No +4032-RMHCI,Female,0,Yes,Yes,41,No,No phone service,DSL,Yes,No,Yes,No,No,No,One year,No,Credit card (automatic),35.4,1412.4,No +0549-CYCQN,Male,1,No,No,51,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,One year,Yes,Bank transfer (automatic),79.6,3974.7,No +3481-JHUZH,Male,0,Yes,No,41,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,80.25,3439,No +7250-EQKIY,Female,0,Yes,Yes,1,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,No,Mailed check,50.45,50.45,Yes +3594-IVHJZ,Female,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.45,42.45,No +6869-FGJJC,Male,0,No,No,68,Yes,No,Fiber optic,No,Yes,Yes,No,No,No,One year,No,Credit card (automatic),79.6,5461.45,No +3896-ZVNET,Female,0,Yes,Yes,24,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,24.7,571.75,No +8205-VSLRB,Male,0,Yes,No,70,Yes,Yes,DSL,Yes,No,Yes,Yes,No,Yes,Two year,No,Credit card (automatic),77.3,5498.2,No +5960-MVTUK,Male,0,No,No,3,No,No phone service,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,29.75,96.85,No +6817-WTYHE,Male,0,No,No,2,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),44.9,111.05,No +3082-VQXNH,Male,0,Yes,No,3,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,No,Credit card (automatic),29.8,94.4,No +4013-UBXWQ,Female,0,No,No,7,Yes,Yes,DSL,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,74.65,521.1,Yes +4931-TRZWN,Female,0,No,No,13,Yes,No,DSL,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,71.95,923.85,No +0750-EKNGL,Male,0,No,No,7,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.75,141.1,No +7669-LCRSD,Male,0,Yes,Yes,12,Yes,No,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Mailed check,56.3,628.65,No +3567-PQTSO,Male,0,Yes,Yes,53,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,105.25,5576.3,No +5519-NPHVG,Female,0,No,No,12,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.2,1046.1,Yes +8043-PNYSD,Male,0,Yes,Yes,63,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.55,1245.6,No +9938-EKRGF,Female,0,No,No,15,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Month-to-month,No,Mailed check,84.45,1287.85,No +2703-AMTUL,Male,0,Yes,Yes,36,Yes,No,DSL,Yes,Yes,No,No,No,No,One year,No,Mailed check,53.65,1939.35,No +0928-JMXNP,Male,1,Yes,No,4,No,No phone service,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,29.9,118.25,No +8173-RXAYP,Female,0,Yes,Yes,24,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.7,452.55,No +4825-XJGDM,Female,0,No,No,61,No,No phone service,DSL,Yes,Yes,Yes,Yes,No,No,One year,No,Credit card (automatic),43.7,2696.55,No +5402-HTOTQ,Male,0,No,No,16,Yes,Yes,DSL,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,55.3,875.35,No +6734-JDTTV,Male,0,Yes,Yes,65,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),19.85,1267.05,No +7850-THJMU,Female,0,Yes,Yes,26,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.65,494.9,No +3890-RTCMS,Male,0,No,No,16,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Mailed check,49.45,799,No +8849-GYOKR,Female,0,Yes,No,54,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,Yes,One year,No,Bank transfer (automatic),106.55,5763.3,Yes +3148-BLQJT,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.1,20.1,Yes +3717-FDJFU,Male,0,No,Yes,5,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.45,106.9,No +3665-JATSN,Female,0,No,No,19,No,No phone service,DSL,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,39.7,710.05,No +7966-YOTQW,Male,0,No,No,10,Yes,Yes,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),54.5,568.2,No +0461-CVKMU,Female,0,Yes,Yes,23,Yes,No,Fiber optic,No,Yes,Yes,Yes,No,No,Month-to-month,No,Electronic check,83.8,1900.25,Yes +8806-EAGWC,Male,0,No,No,3,Yes,No,DSL,No,No,No,No,Yes,No,Month-to-month,No,Mailed check,55.15,159.15,Yes +8853-TZDGH,Female,0,No,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),111.6,8012.75,No +7779-LGOVN,Male,1,Yes,No,10,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,86.65,856.65,Yes +4324-BZCKL,Female,0,Yes,Yes,10,Yes,No,DSL,No,Yes,Yes,No,No,No,Month-to-month,Yes,Mailed check,55.55,551.3,No +6924-TDGMT,Male,0,Yes,No,11,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,20.55,184.95,No +9710-ZUSHQ,Female,1,No,No,37,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),106.75,4056.75,Yes +1536-YHDOE,Male,0,Yes,Yes,17,Yes,Yes,DSL,Yes,No,No,Yes,No,No,One year,Yes,Mailed check,62.1,1096.65,No +8123-QBNAZ,Female,0,Yes,Yes,36,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),104.5,3684.95,No +3629-ZNKXA,Male,1,No,No,17,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,101.8,1752.45,No +4827-LTQRJ,Female,1,Yes,Yes,66,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,One year,Yes,Credit card (automatic),110.6,7210.85,No +7711-YIJWC,Male,0,Yes,Yes,61,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,One year,No,Bank transfer (automatic),84.9,5264.5,No +5482-VXSXJ,Male,0,No,No,22,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Mailed check,93.2,2157.3,No +7365-BVCJH,Male,0,No,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,24.4,24.4,No +9620-ENEJV,Female,0,No,No,6,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Credit card (automatic),70.55,433.95,No +4183-WCSEP,Male,0,No,No,31,Yes,No,Fiber optic,No,Yes,No,Yes,No,No,Month-to-month,Yes,Electronic check,78.45,2435.15,Yes +2378-YIZKA,Female,0,Yes,Yes,68,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),85,5607.75,No +5498-TXHLF,Female,0,Yes,Yes,34,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,No,Electronic check,87.45,2874.15,Yes +0689-DSXGL,Female,0,Yes,Yes,52,Yes,No,Fiber optic,No,Yes,Yes,Yes,No,No,Month-to-month,No,Bank transfer (automatic),85.8,4433.3,No +6818-DJXAA,Female,0,No,Yes,10,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,No,Month-to-month,Yes,Electronic check,91.1,964.35,No +9722-UJOJR,Male,0,Yes,Yes,29,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.75,1974.8,Yes +0464-WJTKO,Female,0,Yes,Yes,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.1,1460.85,No +8902-ZEOVF,Male,0,Yes,Yes,47,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.05,951.55,No +6778-EICRF,Male,0,Yes,Yes,24,Yes,Yes,DSL,Yes,No,No,No,Yes,Yes,One year,No,Mailed check,74.8,1821.2,No +2662-NNTDK,Male,0,No,No,65,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),24.8,1600.95,No +4132-KALRO,Female,0,No,No,4,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Mailed check,100.85,399.25,No +3902-FOIGH,Male,1,Yes,No,12,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,101.35,1218.55,Yes +6772-KSATR,Male,0,No,No,1,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,81.7,81.7,Yes +7112-OPOTK,Male,0,No,No,33,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,68.25,2171.15,Yes +2874-YXVVA,Female,0,No,No,34,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,105.1,3634.8,No +1245-HARPS,Female,0,Yes,No,14,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.4,292.4,No +4210-QFJMF,Female,0,No,No,4,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,79.15,317.25,Yes +4323-ELYYB,Male,0,Yes,Yes,13,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20,218.55,No +4293-ETKAP,Female,0,Yes,Yes,65,Yes,Yes,DSL,No,Yes,No,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),79.4,5071.9,No +6064-PUPMC,Male,0,Yes,Yes,23,Yes,No,DSL,Yes,No,No,Yes,No,No,One year,No,Credit card (automatic),57.2,1423.35,No +6504-VBLFL,Male,0,Yes,No,55,Yes,No,DSL,Yes,Yes,Yes,No,No,No,Two year,No,Electronic check,58.6,3068.6,No +6322-PJJDJ,Male,0,Yes,No,49,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,Two year,Yes,Electronic check,94.8,4690.65,No +0330-BGYZE,Male,0,Yes,No,60,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,No,Bank transfer (automatic),102.5,6157.6,No +1085-LDWAM,Female,0,Yes,Yes,69,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Credit card (automatic),20.35,1442.65,No +7586-ZATGZ,Male,0,No,No,40,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,84.9,3369.05,No +7197-VOJMM,Male,0,Yes,No,67,Yes,No,DSL,Yes,Yes,No,Yes,No,Yes,Two year,Yes,Credit card (automatic),69.2,4671.65,No +3318-OSATS,Male,1,No,No,35,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.45,3474.05,Yes +5828-AVIPD,Male,0,Yes,Yes,19,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,One year,Yes,Electronic check,100.95,1875.55,Yes +1843-TLSGD,Female,0,Yes,Yes,13,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.85,272.35,No +9626-VFRGG,Female,0,No,Yes,41,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),88.5,3645.05,No +7075-BNDVQ,Female,0,No,No,4,No,No phone service,DSL,Yes,No,Yes,No,No,No,Month-to-month,No,Mailed check,35,135.75,No +9143-CANJF,Female,0,Yes,Yes,24,Yes,No,DSL,Yes,No,No,Yes,No,No,Month-to-month,No,Electronic check,55.15,1319.85,No +7284-BUYEC,Female,0,No,No,5,No,No phone service,DSL,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),50.95,229.4,No +2041-JIJCI,Female,0,No,No,5,Yes,Yes,DSL,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,64,370.25,No +1086-LXKFY,Female,0,Yes,Yes,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,69.1,69.1,Yes +4900-MSOMT,Female,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,No,Bank transfer (automatic),80.2,5714.2,No +2229-VWQJH,Female,0,No,No,24,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),49.3,1233.25,No +9194-GFVOI,Female,0,Yes,No,42,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),84.35,3571.6,No +1336-EZFZY,Female,0,No,No,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.05,83.3,No +4282-MSACW,Male,0,No,No,68,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),117.2,8035.95,No +1403-LKLIK,Female,0,Yes,Yes,33,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.1,579.4,No +2636-ALXXZ,Female,1,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.6,69.6,Yes +7774-OJSXI,Male,0,No,No,31,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,103.45,3066.45,Yes +7786-WBJYI,Female,0,No,No,4,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,No,Bank transfer (automatic),77.95,305.55,Yes +0136-IFMYD,Male,1,Yes,No,69,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,109.95,7634.25,No +5144-TVGLP,Male,1,No,No,38,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,94.75,3653,No +9643-AVVWI,Female,0,Yes,Yes,3,Yes,No,Fiber optic,No,Yes,No,Yes,No,No,Month-to-month,Yes,Electronic check,80,241.3,No +0253-ZTEOB,Female,0,Yes,Yes,48,Yes,Yes,DSL,No,Yes,No,Yes,Yes,Yes,Two year,No,Electronic check,79.65,3870.3,No +2706-QZIHY,Female,0,Yes,No,15,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.2,387.9,No +6061-PQHMK,Female,0,No,No,25,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.9,527.5,No +9885-CSMWE,Female,1,No,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,No,Electronic check,78.45,78.45,Yes +6137-MFAJN,Female,0,No,No,48,No,No phone service,DSL,Yes,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,44.8,2104.55,No +9122-UMROB,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.3,20.3,No +4232-JGKIY,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,19.2,19.2,No +2402-TAIRZ,Female,0,No,No,37,Yes,No,Fiber optic,No,Yes,Yes,No,No,No,One year,No,Electronic check,80.05,3019.1,No +9659-ZTWSM,Male,1,Yes,No,66,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),107.35,7051.95,No +9139-TWBAS,Female,0,Yes,No,26,No,No phone service,DSL,Yes,Yes,Yes,No,Yes,No,One year,No,Bank transfer (automatic),47.85,1190.5,No +6685-GBWJZ,Male,0,Yes,No,63,Yes,No,DSL,Yes,Yes,No,Yes,Yes,No,One year,No,Credit card (automatic),70.8,4448.8,No +5016-ETTFF,Male,0,No,No,10,No,No phone service,DSL,No,No,Yes,No,No,No,Month-to-month,No,Mailed check,29.5,255.25,Yes +3866-MDTUB,Female,0,No,No,2,Yes,No,DSL,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,70.75,146.9,Yes +2195-VVRJF,Male,1,Yes,No,18,Yes,No,DSL,Yes,No,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),59.1,1011.05,No +3913-RDSJZ,Female,0,Yes,No,64,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.55,1714.95,No +8058-JMEQO,Female,1,No,No,9,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,84.45,762.5,Yes +4203-QGNZA,Female,0,No,Yes,28,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.25,535.35,No +5043-TRZWM,Female,0,No,No,1,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,No,Electronic check,75.55,75.55,No +0697-ZMSWS,Male,0,No,No,4,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,85.65,338.9,Yes +7657-DYEPJ,Male,1,No,No,38,Yes,No,DSL,No,Yes,Yes,Yes,Yes,No,One year,Yes,Credit card (automatic),70.15,2497.35,Yes +9494-BDNNC,Male,0,Yes,No,66,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,One year,No,Electronic check,95.3,6273.4,No +1640-PLFMP,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.25,70.25,No +5366-OBVMR,Female,0,Yes,No,18,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Mailed check,50.3,908.75,No +8276-MQBYC,Male,1,No,No,51,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,97.8,4913.3,Yes +7644-OMVMY,Male,0,Yes,Yes,0,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.85, ,No +7593-XFKDI,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,46.3,46.3,Yes +4573-JKNAE,Male,0,No,Yes,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.35,212.3,No +0337-CNPZE,Female,0,No,No,41,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,106.3,4443.45,Yes +9817-APLHW,Male,0,No,No,12,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,25,316.2,No +8380-MQINP,Female,0,Yes,Yes,55,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.3,1079.05,No +0840-DFEZH,Female,0,No,No,7,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.35,564.65,No +1513-XNPPH,Female,0,No,No,12,Yes,No,Fiber optic,No,No,Yes,Yes,No,Yes,Month-to-month,Yes,Electronic check,89.4,1095.65,Yes +8690-ZVLCL,Female,0,Yes,Yes,68,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),88,6161.9,No +6015-VVHHE,Female,1,No,No,5,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),83.15,446.05,Yes +1125-SNVCK,Female,1,No,No,49,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,43.8,2106.05,No +0384-LPITE,Male,0,No,No,40,No,No phone service,DSL,Yes,Yes,Yes,No,Yes,Yes,One year,No,Credit card (automatic),62.05,2511.55,No +4616-EWBNJ,Female,0,No,No,16,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),20.1,318.6,No +6347-DCUIK,Male,0,No,No,10,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,74.15,811.8,Yes +1335-HQMKX,Female,0,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,101.35,7323.15,No +2545-EBUPK,Female,1,No,No,2,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,84.05,186.05,No +6923-AQONU,Male,0,Yes,Yes,23,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.9,454,No +2172-EJXVF,Female,1,No,No,71,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,105.9,7521.95,No +0897-FEGMU,Female,0,Yes,No,11,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.5,1056.95,Yes +7663-RGWBC,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,44.15,44.15,Yes +1120-BMWUB,Female,0,No,No,16,Yes,No,DSL,No,Yes,No,Yes,No,No,Month-to-month,Yes,Mailed check,53.9,834.15,Yes +9124-LHCJQ,Female,0,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Mailed check,85.45,85.45,Yes +4536-PLEQY,Male,0,Yes,No,12,Yes,No,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),85.05,999.8,No +7029-IJEJK,Female,0,No,No,54,No,No phone service,DSL,Yes,No,No,Yes,No,Yes,One year,No,Bank transfer (automatic),44.1,2369.7,No +8871-JLMHM,Female,0,Yes,No,68,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,No,No,Two year,No,Credit card (automatic),90.2,6297.65,No +2235-ZGKPT,Female,0,Yes,Yes,4,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,50.85,239.55,Yes +3891-PUQOD,Female,0,No,Yes,1,Yes,No,DSL,No,No,Yes,No,No,Yes,Month-to-month,No,Electronic check,59.2,59.2,Yes +5447-VYTKW,Male,0,No,No,27,Yes,No,DSL,Yes,No,No,Yes,No,No,Month-to-month,No,Mailed check,53.45,1461.45,No +3623-FQBOX,Male,0,No,No,21,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.95,416.4,No +0689-NKYLF,Male,0,No,No,13,Yes,No,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,83.2,1060.6,Yes +8659-HDIYE,Female,1,No,No,64,Yes,Yes,DSL,No,Yes,Yes,Yes,No,Yes,Month-to-month,No,Credit card (automatic),74.65,4869.35,No +3658-KIBGF,Female,0,No,No,1,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,54.9,54.9,Yes +3474-BAFSJ,Male,0,Yes,No,57,No,No phone service,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),57.5,3265.95,No +5519-YLDGW,Female,0,Yes,No,21,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,103.9,2254.2,Yes +3865-ZFZIB,Male,0,No,No,19,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.65,358.15,No +1855-AGAWH,Male,0,Yes,No,31,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,93.8,2939.8,No +7109-CQYUZ,Male,0,No,No,52,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Mailed check,89.25,4652.4,No +1370-GGAWX,Female,0,No,No,46,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,One year,Yes,Electronic check,94.15,4408.45,No +4680-KUTAJ,Female,1,No,No,11,Yes,Yes,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,55.6,580.8,No +5307-UVGNB,Female,0,Yes,Yes,53,No,No phone service,DSL,Yes,Yes,Yes,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),48.7,2495.2,No +4946-EDSEW,Female,0,Yes,Yes,11,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.25,180.3,Yes +2883-ILGWO,Male,1,No,No,57,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),104.9,5913.95,No +2516-VQRRV,Female,1,No,No,2,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,75.45,158.4,Yes +7580-UGXNC,Female,1,No,No,2,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,No,Mailed check,54.85,104.2,Yes +3642-BYHDO,Female,0,Yes,Yes,71,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.9,1389.35,No +9629-NHXFW,Female,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.4,19.4,No +2696-RZVZW,Male,0,Yes,No,68,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.05,1629.2,No +5766-FTRTS,Male,0,Yes,No,72,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Mailed check,84.45,6033.1,No +0396-HUJBP,Female,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.3,44.4,No +5178-LMXOP,Male,1,Yes,No,1,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.1,95.1,Yes +8879-ZKJOF,Female,0,No,No,41,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),79.85,3320.75,No +6285-FTQBF,Male,0,Yes,Yes,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.55,1867.7,No +8185-UPYBR,Male,0,Yes,No,6,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.5,438,Yes +4585-HETAI,Female,0,Yes,Yes,4,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,73.75,325.45,Yes +7526-BEZQB,Male,0,No,No,12,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,96.05,1148.1,Yes +1474-JUWSM,Female,0,Yes,No,58,Yes,Yes,DSL,Yes,No,No,Yes,No,Yes,One year,Yes,Electronic check,68.4,3972.25,No +3530-CRZSB,Female,0,No,No,7,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.65,155.9,No +8498-XXGWA,Female,0,Yes,No,65,Yes,No,DSL,Yes,No,Yes,No,No,No,Month-to-month,Yes,Mailed check,55.15,3673.15,No +9617-INGJY,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,70.6,70.6,No +0621-TSSMU,Male,0,Yes,No,56,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.95,1126.75,No +7234-KMNRQ,Male,0,No,No,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19,73.45,No +7636-PEPNS,Female,0,Yes,Yes,58,Yes,No,DSL,No,No,No,No,No,No,One year,Yes,Mailed check,44.1,2413.05,No +4683-WYDOU,Male,0,Yes,No,62,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),107.6,6912.7,No +9052-DHNKM,Male,0,No,No,26,Yes,Yes,DSL,Yes,Yes,No,No,No,No,One year,No,Electronic check,61.55,1581.95,No +6794-HKIAJ,Male,0,No,No,62,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,No,Month-to-month,No,Bank transfer (automatic),90.7,5586.45,No +5578-NKCXI,Female,0,Yes,Yes,58,Yes,No,Fiber optic,Yes,Yes,No,No,Yes,Yes,One year,No,Credit card (automatic),99.25,5846.65,No +1642-HMARX,Female,0,Yes,No,68,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,91.7,6424.7,No +3096-WPXBT,Female,0,Yes,Yes,61,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,Yes,One year,Yes,Credit card (automatic),100.7,6018.65,No +8434-PNQZX,Female,0,No,No,42,Yes,Yes,DSL,No,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),78.45,3373.4,No +5950-AAAGJ,Male,0,No,No,18,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,No,Bank transfer (automatic),84.3,1537.9,No +4299-OPXEJ,Female,0,No,No,56,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),19.55,1080.55,No +4951-UKAAQ,Female,0,No,No,4,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,88.95,355.2,Yes +9618-LFJRU,Female,0,No,No,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),20.45,82.85,No +6693-DJWTY,Female,0,No,Yes,35,Yes,No,DSL,Yes,Yes,No,No,No,No,One year,No,Credit card (automatic),55.6,2016.45,No +0744-GKNGE,Female,0,Yes,Yes,64,Yes,Yes,Fiber optic,Yes,No,No,Yes,No,No,Month-to-month,Yes,Bank transfer (automatic),86.8,5327.25,No +6447-EGDIV,Female,0,No,No,31,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.95,683.25,No +1167-OYZJF,Female,1,Yes,No,67,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),20.05,1263.05,No +2108-YKQTY,Female,0,No,No,4,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,No,Credit card (automatic),50.7,151.3,Yes +4806-DXQCE,Female,1,Yes,No,70,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,113.65,7714.65,No +4918-QLLIW,Male,0,No,No,3,Yes,No,DSL,No,No,No,No,Yes,No,Month-to-month,No,Credit card (automatic),53.4,188.7,Yes +7056-IMHCC,Male,1,Yes,No,53,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,101.9,5549.4,Yes +4854-SSLTN,Male,0,Yes,Yes,2,Yes,No,DSL,Yes,Yes,No,Yes,No,No,Two year,No,Mailed check,59.5,130.5,No +5294-DMSFH,Female,0,Yes,Yes,29,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),87.8,2621.75,No +4837-PZTIC,Female,0,No,No,47,No,No phone service,DSL,Yes,No,Yes,Yes,No,No,Two year,No,Mailed check,41.9,1875.25,No +1625-JAIIY,Female,0,Yes,Yes,68,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,One year,Yes,Electronic check,83,5685.8,Yes +0603-OLQDC,Male,0,No,Yes,12,Yes,No,DSL,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Mailed check,69.85,837.5,No +3272-VUHPV,Female,0,Yes,Yes,8,Yes,No,DSL,No,Yes,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),56.3,401.5,No +4176-FXYBO,Male,0,Yes,No,54,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Month-to-month,No,Electronic check,109.55,6118.95,No +1063-DHQJF,Male,0,Yes,Yes,69,Yes,No,Fiber optic,No,Yes,No,Yes,Yes,No,Two year,Yes,Mailed check,92.15,6480.9,No +8663-UPDGF,Female,0,No,No,26,Yes,Yes,DSL,Yes,Yes,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),69.5,1800.05,No +6719-FGEDO,Female,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,No,Two year,Yes,Bank transfer (automatic),97,7104.2,No +1837-YQUCE,Female,0,No,No,70,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),58.35,4214.25,No +2947-DOMLJ,Male,0,No,Yes,1,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,No,Mailed check,50.6,50.6,Yes +4112-LUEIZ,Male,0,No,No,10,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,89.5,863.1,Yes +0369-ZGOVK,Female,0,Yes,Yes,28,Yes,No,Fiber optic,No,No,No,No,No,No,One year,Yes,Bank transfer (automatic),70.4,1992.2,No +4510-HIMLV,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.8,69.8,Yes +9919-KNPOO,Female,0,Yes,No,21,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.3,1948.35,No +8749-JMNKX,Male,1,Yes,No,51,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),93.8,4750.95,Yes +7872-BAAZR,Female,0,Yes,Yes,53,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),19.55,1007.9,No +9391-LMANN,Male,0,No,Yes,53,Yes,No,Fiber optic,Yes,Yes,Yes,No,No,Yes,One year,No,Electronic check,95.95,5036.9,No +2430-USGXP,Male,0,Yes,No,24,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,101.05,2391.8,Yes +8174-TBVCF,Female,0,Yes,No,70,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),94.8,6859.05,No +1698-XFZCI,Male,0,No,No,61,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,107.75,6521.9,No +1877-HKBQX,Female,0,No,No,11,Yes,No,DSL,Yes,No,No,Yes,No,No,One year,Yes,Mailed check,54.6,617.85,No +4450-DLLMH,Male,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),71.3,157.75,No +0428-AXXLJ,Male,0,No,No,25,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),19.5,516.3,No +2746-DIJLO,Female,0,No,No,41,Yes,Yes,DSL,No,Yes,No,No,No,No,One year,Yes,Credit card (automatic),56.3,2364,No +5955-ERIHD,Male,0,Yes,No,18,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.7,1687.95,Yes +0917-EZOLA,Male,1,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),104.15,7689.95,Yes +3508-VLHCZ,Female,0,Yes,Yes,71,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),90.55,6239.05,No +4086-ATNFV,Female,0,Yes,Yes,34,Yes,No,DSL,Yes,Yes,Yes,No,No,No,One year,Yes,Mailed check,60.8,2042.05,No +0468-YRPXN,Male,0,No,No,29,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),98.8,2807.1,No +5996-NRVXR,Male,1,Yes,No,40,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,No,One year,Yes,Credit card (automatic),98.15,4116.8,No +3739-YBWAB,Male,0,Yes,No,36,No,No phone service,DSL,Yes,No,Yes,No,No,No,One year,No,Mailed check,35.35,1317.95,No +7047-FWEYA,Female,0,Yes,No,46,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,One year,Yes,Electronic check,103.15,4594.65,No +2000-MPKCA,Female,0,No,No,58,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,107.75,6332.75,No +9762-YAQAA,Male,0,No,No,39,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,One year,No,Credit card (automatic),81.4,3213.75,No +5949-EBSQK,Male,0,Yes,Yes,4,Yes,No,DSL,No,No,No,Yes,No,Yes,Month-to-month,No,Credit card (automatic),61.45,229.55,Yes +5473-KHBPS,Female,0,Yes,Yes,52,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,One year,Yes,Credit card (automatic),95.7,4976.15,No +0100-DUVFC,Male,1,Yes,No,70,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,104.8,7308.95,No +5397-TUPSH,Male,1,Yes,No,65,Yes,No,Fiber optic,No,No,No,No,No,No,One year,Yes,Bank transfer (automatic),70.95,4555.2,No +8950-MTZNV,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,44.95,44.95,No +0326-VDYXE,Female,0,Yes,No,70,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,97.65,6982.5,No +6773-LQTVT,Female,1,Yes,Yes,29,No,No phone service,DSL,No,Yes,Yes,No,No,No,Month-to-month,Yes,Mailed check,35.65,1025.15,No +7274-RTAPZ,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,90.55,90.55,Yes +0436-TWFFZ,Female,0,No,No,67,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Mailed check,85.25,5714.2,No +8566-YPRGL,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.5,19.5,No +0311-UNPFF,Female,0,No,No,26,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),88.8,2274.35,Yes +6609-MXJHJ,Female,0,Yes,Yes,30,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,25.1,789.55,No +2669-OIDSD,Female,0,Yes,No,48,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),100.05,4834,No +8400-WZICQ,Female,0,Yes,Yes,55,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,No,Electronic check,55.7,3131.8,No +3834-XUIFC,Male,0,No,No,7,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Mailed check,85.2,602.55,Yes +9576-SYUHJ,Male,0,No,No,37,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,91.15,3369.25,No +0410-IPFTY,Female,0,Yes,No,31,Yes,No,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),83.85,2674.15,No +2831-EBWRN,Male,0,No,No,4,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,45.9,199.75,No +9430-NKQLY,Male,0,Yes,Yes,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),25.1,1790.8,No +8414-MYSHR,Male,1,No,No,5,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,91.4,449.75,Yes +0247-SLUJI,Male,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.7,19.7,No +9402-ORRAH,Female,1,No,No,15,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,91.5,1400.3,No +6483-OATDN,Male,0,Yes,Yes,8,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),51.3,411.6,No +1293-HHSHJ,Female,0,No,No,35,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,21.1,741,No +4840-ORQXB,Female,1,No,No,56,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,No,Electronic check,104.75,5841.35,No +7599-FKVXZ,Male,0,Yes,No,42,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),106.15,4512.7,Yes +3982-DQLUS,Male,1,Yes,Yes,65,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,85.75,5688.45,No +8610-ZIKJJ,Female,0,Yes,Yes,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.3,31.9,No +3756-VNWDH,Male,1,Yes,No,65,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,One year,Yes,Electronic check,100.75,6674.65,No +7801-KICAO,Female,0,No,No,18,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.15,1345.75,No +7673-LPRNY,Female,0,No,No,23,Yes,Yes,DSL,Yes,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,78.55,1843.05,No +8229-TNIQA,Female,0,No,No,4,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,45.3,196.95,Yes +6060-QBMGV,Male,0,Yes,No,70,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.85,1433.8,No +7339-POGZN,Female,0,No,No,4,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,50.7,214.55,No +2828-SLQPF,Male,0,No,No,19,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),45,865.85,No +4465-VDKIQ,Female,0,No,No,18,Yes,No,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,No,Electronic check,77.8,1358.6,No +2921-XWDJH,Female,1,Yes,No,38,Yes,No,Fiber optic,Yes,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,83.45,3147.15,No +6221-AVQYL,Male,0,No,No,2,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),73.25,131.05,Yes +2558-BUOZZ,Male,0,No,No,47,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,No,One year,No,Bank transfer (automatic),94.8,4535.85,No +9257-AZMTZ,Female,0,Yes,Yes,52,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.1,1078.75,No +0003-MKNFE,Male,0,No,No,9,Yes,Yes,DSL,No,No,No,No,No,Yes,Month-to-month,No,Mailed check,59.9,542.4,No +0975-UYDTX,Female,0,Yes,No,26,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),90.1,2312.55,No +7743-EXURX,Male,0,Yes,Yes,8,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,51.05,415.05,Yes +4682-BLBUC,Male,0,Yes,No,44,Yes,No,DSL,No,Yes,Yes,Yes,Yes,No,One year,Yes,Electronic check,70.95,3250.45,No +0975-VOOVL,Female,0,No,No,3,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,No,Mailed check,29.2,98.5,No +5968-VXZLG,Male,0,No,No,2,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),46.6,87.9,No +5569-KGJHX,Female,0,Yes,Yes,9,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),85.35,754.65,Yes +4988-IQIGL,Male,1,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.35,75.35,Yes +5201-FRKKS,Male,0,No,No,25,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),74.3,1952.25,No +9799-CAYJJ,Female,1,Yes,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.3,153.8,No +7730-IUTDZ,Male,0,No,No,43,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.2,3198.6,Yes +0426-TIRNE,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.9,20.9,Yes +5443-SCMKX,Female,0,Yes,No,58,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,One year,Yes,Electronic check,94.3,5610.15,No +8295-KMENE,Female,0,Yes,Yes,59,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,No,Two year,Yes,Mailed check,76.45,4519.5,No +6738-ISCBM,Male,0,No,No,44,No,No phone service,DSL,Yes,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,54,2440.25,No +9821-BESNZ,Male,0,No,No,66,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,One year,Yes,Electronic check,104.25,6860.6,No +3678-MNGZX,Male,0,Yes,Yes,68,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.95,1377.7,No +1335-NTIUC,Male,0,No,No,9,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,24.95,190.25,No +2916-BQZLN,Male,0,No,No,19,Yes,Yes,Fiber optic,Yes,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,84.75,1651.95,No +4558-CGYCZ,Male,0,No,No,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.75,78.3,No +2368-GAKKQ,Female,0,No,No,70,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),113.65,7939.25,No +8710-YGLWG,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,44.9,44.9,No +3199-XGZCY,Female,0,No,No,8,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.25,576.7,No +3785-KTYSH,Male,0,No,No,53,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,24.6,1279,No +6814-ZPWFQ,Male,1,No,No,51,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),25,1260.7,No +4063-EIKNQ,Male,0,Yes,Yes,11,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),20.95,267.35,No +6993-YCOBK,Male,0,Yes,Yes,60,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,110.6,6586.85,No +5206-HPJKM,Male,0,No,No,17,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),55.5,934.15,No +7587-RZNME,Male,0,No,No,3,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,43.3,123.65,Yes +0748-RDGGM,Male,0,Yes,No,70,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),109.5,7534.65,Yes +8393-JMVMB,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.45,19.45,No +5019-GQVCR,Male,1,No,No,43,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,84.85,3645.6,No +6036-TTFYU,Female,0,Yes,No,16,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.6,314.45,No +2550-AEVRU,Female,0,Yes,Yes,57,Yes,No,DSL,Yes,Yes,No,No,No,No,One year,No,Electronic check,53.45,3053,No +0969-RGKCU,Male,0,Yes,Yes,37,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.8,677.05,No +0378-CJKPV,Female,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),112.1,7965.95,No +4706-AXVKM,Female,1,No,No,11,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),84.8,906.85,Yes +5889-JTMUL,Female,1,Yes,No,50,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,95.05,4888.7,Yes +9026-RNUJS,Male,1,No,No,5,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,No,Electronic check,50.35,237.25,Yes +3746-EUBYR,Male,0,Yes,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),74.6,74.6,Yes +2332-EFBJY,Male,0,No,No,16,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.7,342.4,Yes +2880-FPNAE,Male,1,Yes,No,2,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,74.2,140.1,No +1703-MGIAB,Female,0,No,No,17,Yes,Yes,DSL,No,No,Yes,Yes,Yes,No,Month-to-month,Yes,Mailed check,69,1108,No +4311-QTTAI,Female,0,No,No,16,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.35,295.55,No +9474-PHLYD,Female,0,No,No,15,Yes,No,DSL,No,No,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,59.45,892.65,Yes +4318-RAJVY,Female,0,No,No,10,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,19.8,198.25,No +2165-VOEGB,Female,0,No,Yes,46,Yes,No,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),105.2,4822.85,Yes +3612-YUNGG,Male,0,Yes,Yes,64,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),109.2,6741.15,No +2254-DLXRI,Female,0,No,No,1,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,79.15,79.15,No +5062-CJJKH,Male,0,Yes,Yes,25,Yes,No,DSL,No,Yes,Yes,No,No,No,One year,No,Mailed check,53.65,1355.45,No +9028-LIHRP,Male,0,Yes,Yes,71,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,No,Two year,No,Credit card (automatic),100.2,7209,No +2219-MVUSO,Male,0,No,No,8,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,45.15,438.4,Yes +1053-MXTTK,Female,0,Yes,Yes,72,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),108.65,7726.35,No +1530-ZTDOZ,Female,0,Yes,No,49,No,No phone service,DSL,Yes,No,No,No,Yes,No,Month-to-month,No,Bank transfer (automatic),40.65,2070.75,No +1301-LOPVR,Male,0,Yes,Yes,29,No,No phone service,DSL,Yes,Yes,Yes,Yes,No,Yes,One year,Yes,Credit card (automatic),55.35,1636.95,No +0853-TWRVK,Male,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,Yes,Two year,No,Bank transfer (automatic),105.6,7581.5,No +8914-RBTSB,Male,0,Yes,No,31,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,No,Electronic check,93.8,3019.5,Yes +6212-ATMLK,Female,0,No,No,50,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.7,4729.75,No +8200-LGKSR,Male,0,Yes,No,71,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Electronic check,83.2,6126.1,No +1568-BEKZM,Male,1,Yes,No,70,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),90.05,6333.4,No +0670-ANMUU,Male,0,No,No,71,Yes,Yes,Fiber optic,Yes,No,No,Yes,No,Yes,One year,No,Credit card (automatic),97.65,6687.85,No +6897-RWMUB,Male,0,Yes,Yes,61,Yes,No,DSL,Yes,Yes,Yes,Yes,No,No,Two year,Yes,Bank transfer (automatic),68.05,4158.25,No +0963-ZBDRN,Male,0,No,No,32,Yes,No,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,96.2,3183.4,Yes +7594-RQHXR,Female,0,No,Yes,1,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,79.6,79.6,Yes +6999-CHVCF,Male,0,No,No,68,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,Yes,Two year,Yes,Bank transfer (automatic),102.1,7149.35,No +6134-KWTBV,Male,0,No,No,62,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),23.4,1429.65,No +1077-HUUJM,Female,0,No,Yes,7,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,71.05,472.65,No +6331-EWIEB,Male,0,No,No,20,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,85.25,1734.5,Yes +0895-LNKRC,Male,0,Yes,Yes,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.45,113.5,No +2045-BMBTJ,Female,1,No,No,33,No,No phone service,DSL,Yes,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),59.45,1884.65,No +8417-GSODA,Male,0,Yes,Yes,28,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,One year,No,Bank transfer (automatic),92.2,2568.15,No +5171-EPLKN,Male,0,No,No,27,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.85,470,No +4452-QIIEB,Male,0,No,No,7,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,43.9,278.4,No +5998-VVEJY,Male,0,No,No,26,Yes,Yes,Fiber optic,No,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,80.5,2088.8,Yes +1624-NALOJ,Male,1,No,No,5,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,89.8,502.6,Yes +6741-EGCBI,Male,1,No,No,30,Yes,Yes,Fiber optic,Yes,No,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),90.5,2595.85,No +7820-ZYGNY,Male,0,No,No,63,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,One year,No,Credit card (automatic),90.45,5825.5,No +4317-VTEOA,Male,0,No,No,1,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,50.75,50.75,Yes +9677-AVKED,Female,0,No,Yes,53,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,84.6,4449.75,No +1670-SVOWZ,Female,0,Yes,Yes,14,Yes,No,Fiber optic,No,Yes,No,Yes,No,Yes,Month-to-month,Yes,Credit card (automatic),89.65,1208.35,Yes +2227-JRSJX,Female,0,No,No,21,Yes,No,Fiber optic,No,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),99.15,1956.4,No +9847-HNVGP,Male,0,No,No,17,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.95,310.6,No +6696-YDAYZ,Male,0,Yes,Yes,16,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.5,290.55,No +8980-WQFWL,Female,0,No,No,35,Yes,No,DSL,No,No,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,62.1,2096.1,No +1730-ZMAME,Female,1,No,No,32,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,79.5,2665,No +6506-EYCNH,Female,0,Yes,Yes,28,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Bank transfer (automatic),19.55,543.8,No +4634-JLRJT,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.35,20.35,No +9501-UKKNL,Male,0,No,No,59,No,No phone service,DSL,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,51.7,3005.8,No +2560-QTSBS,Female,0,Yes,Yes,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),23.3,1623.15,No +7541-YLXCL,Male,0,No,No,36,Yes,No,DSL,No,Yes,No,Yes,No,Yes,One year,Yes,Mailed check,65.4,2498.4,Yes +4795-WRNVT,Female,0,No,No,40,Yes,No,DSL,Yes,Yes,No,No,Yes,No,Month-to-month,No,Mailed check,65.1,2586,No +6080-TCMYC,Male,0,Yes,Yes,40,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,81.2,3292.3,No +0260-ZDLGK,Female,0,No,Yes,9,Yes,No,DSL,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Mailed check,72.9,651.4,Yes +7860-UXCRM,Male,0,Yes,Yes,63,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,No,Credit card (automatic),74.5,4674.55,No +6357-JJPQT,Female,0,No,No,3,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,80.5,232.35,No +2292-XQWSV,Male,0,Yes,Yes,40,No,No phone service,DSL,No,Yes,Yes,Yes,Yes,Yes,One year,No,Mailed check,60.3,2448.5,No +9552-TGUZV,Male,0,Yes,No,8,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Mailed check,75,658.1,No +5913-INRQV,Male,1,Yes,No,34,Yes,No,Fiber optic,Yes,No,No,Yes,Yes,No,One year,No,Mailed check,90.15,3128.8,No +8722-NGNBH,Male,0,No,No,5,No,No phone service,DSL,Yes,No,Yes,Yes,No,No,Month-to-month,No,Mailed check,40,223.45,Yes +6210-KBBPI,Male,1,No,No,9,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),99.45,919.4,Yes +9643-YBLUR,Male,0,Yes,No,9,Yes,Yes,DSL,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Credit card (automatic),69.05,653.95,No +8734-FNWVH,Male,0,Yes,Yes,31,Yes,Yes,DSL,No,No,No,No,No,Yes,Month-to-month,No,Bank transfer (automatic),59.7,1825.5,No +9447-YPTBX,Female,0,Yes,No,50,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),19.85,943.1,No +0133-BMFZO,Female,0,No,No,2,Yes,No,Fiber optic,Yes,Yes,No,Yes,No,No,Month-to-month,Yes,Electronic check,86.25,181.65,Yes +6128-CZOMY,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,45.65,45.65,Yes +9540-JYROE,Male,0,No,No,8,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,70.1,551.35,Yes +9026-LHEVG,Female,0,No,No,9,No,No phone service,DSL,No,Yes,No,No,No,Yes,Month-to-month,No,Electronic check,40.75,359.4,No +2260-USTRB,Female,1,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),70.2,115.95,Yes +3656-TKRVZ,Female,0,No,No,3,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,No,Electronic check,55.35,165.2,Yes +7011-CVEUC,Male,0,Yes,No,25,Yes,No,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),95.7,2338.35,No +6185-TASNN,Male,1,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,46.3,46.3,No +7925-PNRGI,Female,0,Yes,Yes,45,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,No,Month-to-month,No,Mailed check,81.3,3541.1,No +8623-TMRBY,Male,1,Yes,Yes,51,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,84.2,4146.05,Yes +1552-CZCLL,Female,0,Yes,Yes,55,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),20,1087.25,No +3038-PQIUY,Female,0,No,No,38,Yes,Yes,DSL,Yes,Yes,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),66.15,2522.4,No +1501-SGHBW,Male,0,No,No,2,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,45.85,81,Yes +9313-CDOGY,Male,0,Yes,Yes,38,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,19.6,717.3,No +8148-BPLZQ,Male,0,No,No,34,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,49.8,1734.2,No +2623-DRYAM,Female,0,Yes,No,70,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,101.75,7069.3,No +9987-LUTYD,Female,0,No,No,13,Yes,No,DSL,Yes,No,No,Yes,No,No,One year,No,Mailed check,55.15,742.9,No +3208-YPIOE,Male,0,No,No,39,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,75.25,3017.65,Yes +4488-KQFDT,Female,0,No,No,61,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,103.95,6423,No +2612-RANWT,Female,0,No,No,12,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),100.15,1164.3,Yes +5693-PIPCS,Male,0,No,No,41,Yes,No,Fiber optic,No,Yes,No,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),99.65,4220.35,No +0491-KAPQG,Male,0,No,No,21,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,73.7,1558.7,No +1925-LFCZZ,Male,1,No,No,55,No,No phone service,DSL,No,No,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),50.05,2743.45,No +8039-EQPIM,Male,0,Yes,No,69,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),60.25,4055.5,No +6900-PXRMS,Male,1,Yes,Yes,26,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,No,Electronic check,105.75,2710.25,Yes +8707-RMEZH,Female,1,Yes,No,69,Yes,No,Fiber optic,Yes,Yes,No,No,No,Yes,One year,No,Credit card (automatic),87.3,6055.55,No +3346-BRMIS,Female,1,Yes,No,18,No,No phone service,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,48.35,810.7,Yes +3209-ZPKFI,Male,0,Yes,Yes,47,Yes,Yes,DSL,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,54.25,2538.2,No +6479-VDGRK,Female,0,Yes,Yes,72,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),85.3,6129.2,No +9373-WSLOY,Male,1,Yes,No,33,No,No phone service,DSL,No,Yes,Yes,Yes,Yes,No,Month-to-month,Yes,Electronic check,50,1750.85,No +2933-FILNV,Female,0,Yes,Yes,2,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,24.4,36.55,Yes +3569-JFODW,Female,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),90.95,6652.45,No +9819-FBNSV,Male,1,Yes,No,37,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),72.25,2575.45,No +9544-PYPSJ,Female,1,Yes,Yes,62,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Credit card (automatic),96.1,6019.35,No +1591-XWLGB,Female,0,Yes,No,71,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.85,1379.6,No +0396-UKGAI,Male,0,No,Yes,23,Yes,No,DSL,No,Yes,No,Yes,No,No,Month-to-month,Yes,Bank transfer (automatic),55.3,1284.2,No +3243-ZHOHY,Female,0,No,No,16,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.1,296.15,No +5186-EJEGL,Male,0,No,No,9,Yes,No,DSL,Yes,No,Yes,Yes,Yes,No,Month-to-month,Yes,Mailed check,69.5,653.25,No +7527-QNRUS,Male,0,Yes,Yes,17,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,25.15,412.6,No +9986-BONCE,Female,0,No,No,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),20.95,85.5,Yes +2722-JMONI,Female,1,Yes,No,1,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,49.55,49.55,Yes +2203-GHNWN,Female,0,Yes,No,24,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Mailed check,79.65,1928.7,No +3878-AVSOQ,Female,1,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,71.25,71.25,No +3258-SYSWS,Male,1,No,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),113.8,7845.8,No +5296-PSYVW,Female,0,Yes,No,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Electronic check,24.55,1750.7,No +6319-QSUSR,Female,0,No,Yes,11,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),19.7,216.2,No +4083-EUGRJ,Male,0,No,No,9,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.25,178.5,Yes +7579-OOPEC,Female,1,Yes,No,2,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,No,Credit card (automatic),50.15,115.1,Yes +0512-FLFDW,Female,1,Yes,No,60,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),100.5,6029,No +1771-OADNZ,Male,1,Yes,No,29,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,95.9,2745.2,Yes +0487-CRLZF,Female,0,No,No,49,Yes,No,DSL,No,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),74.45,3721.9,No +2107-FBPTK,Female,1,No,No,30,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,104.1,3121.1,No +9451-WLYRI,Female,0,Yes,No,53,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.05,990.45,No +8219-VYBVI,Male,0,No,Yes,39,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25,1004.35,No +1991-VOPLL,Female,0,No,No,9,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.05,157.65,No +9738-QLWTP,Male,0,No,No,39,Yes,No,Fiber optic,No,No,Yes,Yes,No,No,One year,No,Electronic check,81.9,3219.75,No +1016-DJTSV,Male,1,No,No,8,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.7,572.85,No +9419-IPPBE,Female,0,Yes,Yes,51,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,One year,Yes,Electronic check,90.15,4554.85,No +0174-QRVVY,Male,0,Yes,Yes,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.35,1847.55,No +5699-BNCAS,Male,1,No,No,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,24.65,1766.75,No +2900-PHPLN,Female,1,Yes,No,70,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),19.55,1462.05,No +0612-RTZZA,Female,1,No,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,25.25,25.25,Yes +8106-GWQOK,Male,0,Yes,No,38,No,No phone service,DSL,Yes,Yes,No,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),60,2193.2,No +8751-EDEKA,Female,0,Yes,No,28,Yes,No,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,No,Credit card (automatic),89.9,2433.5,No +6878-GGDWG,Female,0,Yes,No,32,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),19.4,641.15,No +4039-PIMHX,Male,1,Yes,No,49,Yes,No,DSL,No,Yes,No,No,No,No,Two year,No,Mailed check,49.8,2398.4,No +8450-LUGUK,Female,0,Yes,Yes,37,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),24.1,861.85,No +3604-WLABM,Female,0,No,No,10,Yes,No,DSL,No,No,Yes,Yes,No,No,Month-to-month,No,Electronic check,54.25,583,No +0795-GMVQO,Male,0,Yes,No,67,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,No,Credit card (automatic),109.9,7332.4,No +2259-OUUSZ,Male,0,No,No,7,No,No phone service,DSL,No,No,Yes,Yes,No,No,One year,Yes,Credit card (automatic),35.5,249.55,No +1142-IHLOO,Female,0,No,No,51,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,One year,No,Credit card (automatic),87.55,4475.9,No +6410-LEFEN,Female,0,No,No,9,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,45.15,416.45,Yes +4633-MKHYU,Female,0,No,No,9,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Mailed check,88.4,788.6,No +6257-RJOHI,Male,0,No,No,4,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Mailed check,50.8,202.3,No +1545-JFUML,Male,0,Yes,No,71,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,No,Two year,Yes,Electronic check,99,6994.6,No +3194-ORPIK,Female,0,Yes,Yes,50,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),84.4,4116.15,Yes +7826-VVKWT,Female,1,Yes,Yes,24,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Two year,Yes,Electronic check,96.55,2263.45,No +1353-GHZOS,Male,0,Yes,No,22,Yes,No,DSL,Yes,No,No,No,Yes,No,One year,Yes,Bank transfer (automatic),59.75,1374.35,No +2587-EKXTS,Male,0,No,No,44,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,111.5,4915.15,No +5442-BXVND,Female,0,Yes,Yes,33,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),24.25,838.5,No +8816-VXNZD,Female,0,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.1,75.1,Yes +9378-FXTIZ,Female,0,Yes,No,54,Yes,Yes,DSL,No,No,No,No,Yes,Yes,One year,Yes,Credit card (automatic),70.15,3715.65,Yes +1723-HKXJQ,Male,0,No,No,42,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,101.75,4273.45,Yes +7825-GKXMW,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,45.8,45.8,Yes +9753-OYLBX,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.5,20.5,No +2364-UFROM,Male,0,No,No,30,Yes,No,DSL,Yes,Yes,No,Yes,Yes,No,One year,No,Electronic check,70.4,2044.75,No +6656-JWRQX,Female,0,No,No,1,No,No phone service,DSL,No,No,No,Yes,No,No,Month-to-month,No,Mailed check,30.55,30.55,No +6473-ULUHT,Male,0,Yes,Yes,16,Yes,Yes,DSL,Yes,Yes,No,Yes,Yes,Yes,Month-to-month,No,Electronic check,84.9,1398.25,No +1240-KNSEZ,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.1,20.1,Yes +0836-SEYLU,Male,0,Yes,No,9,No,No phone service,DSL,No,No,No,Yes,Yes,No,Month-to-month,No,Mailed check,40.65,328.95,Yes +4433-JCGCG,Male,1,Yes,No,46,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,101,4680.05,Yes +3716-BDVDB,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.1,69.1,Yes +7688-AWMDX,Male,0,Yes,No,71,Yes,No,DSL,Yes,No,No,Yes,No,No,Two year,No,Bank transfer (automatic),54.5,3778.2,No +2842-BCQGE,Male,0,No,No,43,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),75.35,3161.4,No +7244-QWYHG,Male,0,Yes,No,50,No,No phone service,DSL,Yes,No,No,Yes,Yes,No,One year,Yes,Bank transfer (automatic),44.45,2188.45,No +5899-MQZZL,Female,0,No,No,13,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,75,999.45,Yes +6849-OYAMU,Male,0,Yes,Yes,19,Yes,No,Fiber optic,No,Yes,No,Yes,Yes,Yes,One year,No,Bank transfer (automatic),100,1888.65,Yes +5312-UXESG,Female,0,No,No,41,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,No,Bank transfer (automatic),98.05,3990.6,No +9488-HGMJH,Female,1,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,71.15,71.15,Yes +6038-GCYEC,Female,0,No,No,24,No,No phone service,DSL,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),54.15,1240.25,Yes +2150-WLKUW,Female,0,Yes,No,40,Yes,Yes,DSL,No,Yes,No,No,Yes,No,One year,No,Bank transfer (automatic),63.9,2635,No +7159-FVYPK,Female,0,Yes,Yes,3,Yes,Yes,DSL,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),69.15,235,No +7032-LMBHI,Female,0,No,No,37,Yes,Yes,DSL,Yes,No,No,No,Yes,No,One year,No,Bank transfer (automatic),64.65,2347.85,No +1150-WFARN,Female,0,Yes,Yes,67,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),108.75,7156.2,Yes +6088-BXMRG,Female,0,Yes,Yes,32,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,98.85,3089.6,No +3144-AUDBS,Female,0,Yes,No,6,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,49.15,270.8,Yes +4821-SJHJV,Female,0,Yes,Yes,32,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,No,Month-to-month,No,Electronic check,89.6,2901.8,No +7346-MEDWM,Female,0,No,No,59,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,83.25,4949.1,No +1137-DGOWI,Female,0,Yes,No,30,Yes,No,DSL,No,Yes,Yes,Yes,No,Yes,One year,No,Bank transfer (automatic),70.25,2198.9,No +5616-PRTNT,Male,0,No,Yes,20,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,19.4,374.5,Yes +3812-LRZIR,Female,0,Yes,Yes,27,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Electronic check,24.5,761.95,No +4818-QIUFN,Female,1,No,No,20,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,79.15,1520.9,Yes +9483-GCPWE,Male,0,No,Yes,9,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.1,190.25,No +4227-OJHAL,Female,0,Yes,Yes,68,Yes,Yes,DSL,Yes,Yes,Yes,No,Yes,No,One year,Yes,Credit card (automatic),73,5163,No +9220-CXRSC,Female,0,Yes,Yes,69,Yes,Yes,DSL,Yes,No,No,Yes,No,No,Two year,No,Credit card (automatic),61.4,4059.85,No +4993-JCRGJ,Male,0,No,No,26,Yes,Yes,Fiber optic,No,No,Yes,Yes,No,No,Month-to-month,Yes,Mailed check,84.3,2281.6,No +9537-JALFH,Male,0,Yes,Yes,69,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.9,1356.7,No +6698-OXETB,Male,0,No,No,11,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.4,231.45,No +2103-ZRXFN,Male,0,No,No,1,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,50.75,50.75,No +3724-BSCVH,Male,0,Yes,Yes,10,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.45,242.4,No +4877-TSOFF,Female,0,Yes,Yes,55,Yes,Yes,DSL,Yes,Yes,No,Yes,No,Yes,One year,Yes,Bank transfer (automatic),75.75,4264.25,No +9209-NWPGU,Male,0,No,No,44,Yes,No,DSL,Yes,No,No,Yes,Yes,No,One year,No,Electronic check,65.4,2774.55,No +6961-VCPMC,Male,1,Yes,No,46,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,80.4,3605.2,Yes +7306-YDSOI,Male,0,Yes,Yes,69,Yes,No,DSL,Yes,Yes,Yes,No,No,No,Two year,Yes,Bank transfer (automatic),59.75,4069.9,No +5288-AHOUP,Male,1,No,No,11,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,78.5,874.2,No +6688-UZPWD,Female,0,Yes,No,11,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,102,1145.35,Yes +0655-YDGFJ,Male,0,No,No,29,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,No,Bank transfer (automatic),48.95,1323.7,No +8468-EHYJA,Female,0,Yes,No,57,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.65,5497.05,No +6823-SIDFQ,Male,0,No,No,28,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),18.25,534.7,No +1097-FSPVW,Female,0,No,No,42,Yes,No,DSL,Yes,No,Yes,No,No,No,Month-to-month,No,Credit card (automatic),54.55,2455.05,No +2839-RFSQE,Female,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.65,38.7,Yes +8328-SKJNO,Male,0,No,Yes,23,No,No phone service,DSL,Yes,Yes,No,Yes,No,No,One year,No,Bank transfer (automatic),40.65,947.4,No +7010-ZMVBF,Female,0,Yes,Yes,18,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.45,357,No +5201-CBWYG,Male,0,Yes,Yes,62,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),24.8,1476.25,No +0968-GSIKN,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,70.8,70.8,Yes +1965-DDBWU,Male,0,No,No,16,Yes,Yes,Fiber optic,No,No,No,Yes,No,Yes,Month-to-month,Yes,Credit card (automatic),89.05,1448.6,Yes +9057-SIHCH,Female,0,No,No,3,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,96.6,291.9,Yes +6352-GIGGQ,Male,0,No,No,67,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),88.8,5903.15,No +3635-QQRQD,Male,0,No,No,62,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),20.05,1201.65,No +6771-XWBDM,Female,0,Yes,No,57,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),104.5,5921.35,Yes +2897-DOVND,Male,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.8,146.65,No +3082-YVEKW,Female,0,Yes,Yes,23,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,No,Two year,Yes,Bank transfer (automatic),77.15,1759.4,No +0191-EQUUH,Female,0,No,Yes,25,No,No phone service,DSL,Yes,No,No,Yes,No,No,Two year,No,Bank transfer (automatic),35.05,844.45,No +7134-HBPBS,Female,1,No,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),108.1,7774.05,No +3489-HHPFY,Female,0,Yes,No,2,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,84.05,134.05,No +2926-JEJJC,Female,0,No,No,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),20.2,140.95,No +8601-QACRS,Female,0,No,No,5,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,50.6,249.95,Yes +4950-BDEUX,Male,0,No,No,35,No,No phone service,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,No,Electronic check,49.2,1701.65,No +5789-LDFXO,Male,0,No,No,24,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Electronic check,24.6,592.65,No +0508-OOLTO,Female,0,Yes,Yes,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,71.65,135.75,No +2984-TBYKU,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,Yes,Two year,Yes,Credit card (automatic),104.9,7732.65,No +9822-WMWVG,Female,0,No,No,41,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,No,Month-to-month,Yes,Electronic check,106.5,4282.4,No +2391-SOORI,Male,0,No,Yes,4,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,No,Electronic check,49.35,219.65,Yes +9040-KZVWO,Male,0,No,No,26,Yes,No,Fiber optic,No,Yes,No,No,No,No,One year,No,Bank transfer (automatic),75.5,2018.1,No +2645-QTLMB,Male,0,No,No,7,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.25,669,Yes +4806-HIPDW,Female,0,Yes,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,68.95,68.95,Yes +1548-ARAGG,Female,0,Yes,Yes,4,Yes,Yes,DSL,No,Yes,No,Yes,No,No,Month-to-month,Yes,Mailed check,58.5,224.85,No +6339-RZCBJ,Male,0,No,No,48,Yes,No,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),78.9,3771.5,No +4424-TKOPW,Male,1,No,No,2,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,93.85,196.75,Yes +4415-WNGVR,Female,1,Yes,No,12,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,79.2,943.85,No +2522-AHJXR,Male,0,Yes,No,60,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),109.45,6572.85,No +0412-UCCNP,Male,0,No,No,55,Yes,No,DSL,Yes,No,Yes,Yes,No,No,Two year,Yes,Electronic check,59.2,3175.85,No +1816-FLZDK,Male,0,No,No,1,No,No phone service,DSL,No,No,No,Yes,No,No,Month-to-month,No,Mailed check,29.15,29.15,No +7096-UCLNH,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.05,20.05,No +8443-ZRDBZ,Male,0,No,No,4,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,76.05,318.9,Yes +9136-ALYBR,Male,0,No,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,24.45,24.45,Yes +4615-PIVVU,Female,0,No,No,42,Yes,No,DSL,No,No,Yes,Yes,No,Yes,Two year,No,Credit card (automatic),66.5,2762.75,No +8885-QSQBX,Female,0,No,No,1,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),49.55,49.55,No +7479-NITWS,Male,0,No,No,7,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Credit card (automatic),89.35,631.85,Yes +8617-ENBDS,Male,0,No,No,3,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),73.6,232.5,No +9385-NXKDA,Female,0,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Credit card (automatic),82.65,5919.35,No +0430-IHCDJ,Male,0,No,No,15,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,49,749.25,No +2959-MJHIC,Male,0,Yes,No,4,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,80.35,307.4,Yes +6674-KVJHG,Female,0,No,No,11,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Electronic check,25.2,245.15,No +1814-DKOLC,Female,0,No,No,5,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,25.45,134.75,No +4201-JMNGR,Female,1,No,No,1,Yes,No,DSL,Yes,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,55.8,55.8,Yes +9351-HXDMR,Male,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),110.9,8240.85,No +3537-HPKQT,Female,0,Yes,No,55,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),77.75,4266.4,No +2129-ALKBS,Female,0,Yes,Yes,40,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,26.2,1077.5,No +5821-MMEIL,Female,0,Yes,No,57,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.9,1115.6,No +5960-WPXQM,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,79.05,79.05,Yes +0684-AOSIH,Male,0,Yes,No,1,Yes,No,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95,95,Yes +8260-NGFNY,Female,0,No,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,25.2,25.2,Yes +1309-XGFSN,Male,1,Yes,Yes,52,Yes,Yes,DSL,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,80.85,4079.55,No +1866-RZZQS,Male,1,No,No,41,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,98.4,4187.75,Yes +6968-URWQU,Male,0,Yes,No,43,Yes,No,DSL,No,No,No,No,Yes,No,One year,Yes,Mailed check,56.35,2391.15,No +4742-TXUEX,Female,0,Yes,Yes,47,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.3,890.5,No +9631-XEYKE,Male,0,No,No,3,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),50.4,137.25,No +8631-NBHFZ,Male,1,Yes,Yes,66,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,No,Credit card (automatic),79.4,5154.6,Yes +1335-MXCSE,Male,0,Yes,Yes,55,Yes,No,DSL,No,No,Yes,Yes,No,No,Two year,Yes,Credit card (automatic),55.25,3119.9,No +8873-TMKGR,Male,0,No,No,29,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.1,529.5,No +8800-JOOCF,Female,0,No,Yes,12,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,84.05,966.55,No +1469-LBJQJ,Female,0,Yes,No,66,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,105.2,6936.85,No +4958-XCBDQ,Male,1,No,No,35,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,101.4,3496.3,Yes +8337-UPOAQ,Male,1,Yes,No,10,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,89.8,914.3,Yes +0064-YIJGF,Male,0,Yes,Yes,27,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),75.75,1929,No +2386-OWURY,Female,0,No,No,58,Yes,No,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,95.3,5817.7,No +1725-IQNIY,Male,0,Yes,No,54,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),109.75,6110.2,Yes +0310-VQXAM,Male,0,No,No,9,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.85,178.8,No +6598-RFFVI,Male,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.3,28.3,Yes +3453-RTHJQ,Male,0,No,No,6,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.1,435,No +6712-OAWRH,Female,1,No,No,26,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,91.25,2351.8,Yes +6278-FEPBZ,Female,0,No,No,9,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.25,186.15,No +4280-DLSHD,Male,0,Yes,No,8,Yes,No,DSL,No,Yes,Yes,No,No,No,Month-to-month,Yes,Mailed check,54.75,445.85,No +1508-DFXCU,Male,0,No,No,12,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,81.45,912,No +8614-VGMMV,Female,0,No,No,15,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,49.1,679.55,Yes +7868-BGSZA,Male,0,Yes,No,43,Yes,Yes,DSL,Yes,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,80.2,3581.6,No +2800-QQUSO,Male,0,No,No,42,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,100.3,4222.95,No +2930-UOTMB,Female,0,No,No,31,Yes,Yes,DSL,Yes,No,Yes,Yes,No,No,Month-to-month,No,Credit card (automatic),65.25,1994.3,Yes +7973-DZRKH,Female,0,No,Yes,66,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,No,No,Two year,Yes,Credit card (automatic),90.95,5930.05,No +5914-DVBWJ,Female,1,No,No,18,Yes,Yes,Fiber optic,No,Yes,No,Yes,No,No,Month-to-month,Yes,Electronic check,85.45,1505.85,Yes +7698-YFGEZ,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20,20,No +2533-QVMSK,Male,0,Yes,No,61,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,No,Two year,Yes,Electronic check,94.1,5638.3,Yes +9773-PEQBZ,Male,0,No,No,10,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,79.85,797.25,No +8644-XLFBW,Male,1,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,71.65,71.65,Yes +0650-BWOZN,Female,1,No,No,18,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,73.55,1359.45,No +8625-AZYZY,Male,0,Yes,No,24,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,104.65,2542.45,Yes +7785-RDVIG,Female,0,Yes,Yes,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.3,54.7,No +9602-WCXPI,Male,0,No,No,50,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),20.15,989.05,No +2903-YYTBW,Male,0,Yes,Yes,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,44.55,44.55,No +3620-MWJNE,Male,0,No,No,2,Yes,No,DSL,Yes,No,No,Yes,No,No,Month-to-month,Yes,Mailed check,54.45,87.3,No +8573-JGCZW,Male,0,No,No,17,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),19.65,351.55,No +6837-HAEVO,Male,0,Yes,Yes,69,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Electronic check,105,7297.75,No +6701-YVNQG,Male,0,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),88.7,6301.7,No +9306-CPCBC,Female,0,No,No,3,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.25,210.3,Yes +4304-XUMGI,Male,1,Yes,Yes,50,Yes,Yes,DSL,Yes,Yes,Yes,No,No,Yes,Two year,Yes,Bank transfer (automatic),75.15,3822.45,No +9504-YAZWB,Female,0,No,No,53,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.25,1048.45,No +8819-ZBYNA,Female,0,Yes,No,58,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),109.1,6393.65,No +6174-NRBTZ,Male,0,No,No,46,No,No phone service,DSL,Yes,No,No,No,No,No,One year,Yes,Bank transfer (automatic),30.75,1489.3,No +9481-IEBZY,Male,1,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),112.9,8061.5,No +1833-VGRUM,Female,1,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.2,74.2,Yes +6137-NICCO,Female,0,Yes,Yes,6,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Mailed check,94.05,518.75,No +9065-ZCPQX,Male,0,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,No,Bank transfer (automatic),78.85,5763.15,No +6402-EJMWF,Male,0,No,No,4,Yes,No,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Mailed check,55.3,238.5,No +3620-EHIMZ,Female,0,Yes,Yes,52,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.35,1031.7,No +3213-VVOLG,Male,0,Yes,Yes,0,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.35, ,No +6870-ECSHE,Female,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.45,34.8,No +8747-UDCOI,Female,0,Yes,No,65,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.35,1319.95,No +8374-XGEJJ,Male,1,Yes,No,43,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,101,4388.4,Yes +2656-TABEH,Male,0,Yes,No,4,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.2,420.2,Yes +6946-LMSQS,Male,1,Yes,No,25,Yes,Yes,Fiber optic,Yes,No,No,No,No,Yes,One year,Yes,Electronic check,89.05,2177.45,Yes +4626-OZDTJ,Female,0,Yes,No,51,Yes,Yes,DSL,No,Yes,No,Yes,Yes,Yes,One year,Yes,Credit card (automatic),78.65,3950.85,No +9169-BSVIN,Male,0,No,No,12,Yes,Yes,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,No,Bank transfer (automatic),74.75,827.05,No +2325-ZUSFD,Female,0,Yes,Yes,57,Yes,No,DSL,Yes,No,No,No,Yes,Yes,One year,Yes,Bank transfer (automatic),70.1,3913.3,Yes +8194-PEEBY,Female,0,Yes,Yes,24,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.9,533.5,No +6872-HXFNF,Female,0,Yes,No,64,Yes,Yes,DSL,No,No,Yes,Yes,No,No,One year,No,Bank transfer (automatic),58.35,3756.45,No +3932-CMDTD,Female,0,No,No,4,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,105.65,443.9,Yes +7714-YXSMB,Female,0,No,No,26,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),100.5,2599.95,No +8387-UGUSU,Female,0,Yes,Yes,15,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.05,284.3,No +1080-BWSYE,Male,1,Yes,No,64,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.65,1740.8,No +4039-HEUNW,Male,1,Yes,No,36,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,96.5,3436.1,Yes +1194-HVAIF,Female,0,Yes,No,27,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Credit card (automatic),95,2462.55,No +0812-WUPTB,Male,1,Yes,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Mailed check,70.85,70.85,Yes +3594-UVONA,Female,0,No,No,35,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),85.95,3110.1,Yes +0004-TLHLJ,Male,0,No,No,4,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,73.9,280.85,Yes +1767-TGTKO,Female,0,Yes,Yes,8,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,45.45,411.75,No +8439-LTUGF,Male,0,No,No,10,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),20,198.6,No +8805-JNRAZ,Female,0,No,No,2,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,No,Mailed check,49.2,103.7,No +5089-IFSDP,Female,0,Yes,No,58,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),109.45,6144.55,Yes +6418-HNFED,Male,0,Yes,No,51,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),83.25,4089.45,No +0206-OYVOC,Female,0,Yes,Yes,46,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,19.25,864.2,No +7291-CDTMJ,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Bank transfer (automatic),19.65,19.65,No +7128-GGCNO,Male,0,No,No,46,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),72.8,3249.4,No +0237-YFUTL,Female,0,Yes,No,50,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),109.65,5405.8,No +7691-KGKGP,Male,0,Yes,Yes,53,Yes,No,DSL,No,Yes,No,Yes,Yes,No,Month-to-month,No,Credit card (automatic),65,3363.8,No +6710-HSJRD,Male,0,Yes,No,61,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,114.1,7132.15,No +3675-EQOZA,Male,0,No,No,5,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),20.65,93.55,No +0840-DCNZE,Male,0,No,No,47,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),86.95,4138.9,No +1732-FEKLD,Female,0,No,No,54,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,One year,Yes,Bank transfer (automatic),94.75,5121.75,No +9862-KJTYK,Male,0,No,Yes,19,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),25.35,566.1,No +0479-HMSWA,Female,0,No,Yes,26,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,105.45,2715.3,No +5854-KSRBJ,Male,0,Yes,Yes,70,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.4,1782.05,No +0365-BZUWY,Male,0,Yes,No,17,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,102.55,1742.5,No +4817-VYYWS,Female,0,No,No,30,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.2,2983.8,Yes +5701-SVCWR,Female,0,No,Yes,1,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,24,24,No +3129-AAQOU,Female,0,Yes,Yes,19,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.6,485.9,No +4922-CVPDX,Female,0,Yes,No,26,Yes,No,DSL,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Credit card (automatic),73.5,1905.7,No +1396-QWFBJ,Female,0,Yes,Yes,21,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),74.05,1565.7,Yes +1357-BIJKI,Male,0,Yes,No,50,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,One year,Yes,Electronic check,98.25,4858.7,No +1099-BTKWT,Female,0,Yes,No,68,No,No phone service,DSL,Yes,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,54.4,3723.65,No +5299-SJCZT,Male,0,No,No,3,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),101.55,298.35,Yes +2018-PZKMU,Male,0,Yes,Yes,9,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,No,Electronic check,103.1,970.45,No +7340-KEFQE,Female,0,Yes,Yes,51,No,No phone service,DSL,Yes,No,No,Yes,No,No,Two year,No,Bank transfer (automatic),34.2,1782,No +4570-QHXHL,Female,0,No,No,9,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,43.75,405.7,No +2403-BCASL,Male,1,Yes,Yes,41,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,111.95,4534.9,Yes +7392-YYPYJ,Male,0,No,No,22,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.65,2415.95,No +2898-LSJGD,Female,0,Yes,Yes,21,No,No phone service,DSL,Yes,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,55.95,1157.05,Yes +2223-GDSHL,Male,0,Yes,Yes,71,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),116.05,8297.5,No +7359-PTSXY,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,45.75,45.75,Yes +9470-RTWDV,Male,0,Yes,Yes,26,Yes,Yes,DSL,No,No,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),82,2083.1,No +2176-OSJUV,Male,0,Yes,No,71,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,Two year,No,Bank transfer (automatic),65.15,4681.75,No +9348-YVOMK,Male,0,No,No,4,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),44.8,176.2,No +8104-OSKWT,Female,0,No,No,12,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,79.8,1001.2,No +4521-YEEHE,Female,0,Yes,No,18,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,88.85,1594.75,No +4090-KPJIP,Female,0,No,No,3,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.95,212.4,No +3786-WOVKF,Female,1,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,Yes,One year,Yes,Bank transfer (automatic),106.85,7677.4,No +4503-BDXBD,Male,0,No,No,11,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,74.95,815.5,Yes +6086-ESGRL,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Credit card (automatic),80.15,80.15,Yes +2592-HODOV,Male,0,No,No,13,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.3,259.65,No +3886-CERTZ,Female,0,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,109.25,8109.8,Yes +7995-ZHHNZ,Male,0,Yes,No,42,Yes,Yes,DSL,Yes,No,No,No,No,No,One year,No,Credit card (automatic),56.1,2386.85,No +3824-RHKVR,Female,0,No,No,17,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),19.7,340.35,No +5816-SCGFC,Female,1,No,No,7,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,51.3,419.35,No +5989-AXPUC,Female,0,Yes,No,68,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Mailed check,118.6,7990.05,No +4979-HPRFL,Male,0,Yes,Yes,56,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),24.15,1402.25,No +8590-OHDIW,Female,0,Yes,Yes,38,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.3,749.35,No +8015-IHCGW,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,115.5,8425.15,No +2332-TODQS,Female,0,No,No,48,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),25.05,1171.5,No +9278-VZKCD,Female,1,Yes,No,52,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,109.1,5647.95,No +8008-OTEZX,Female,0,Yes,Yes,35,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.65,708.8,No +2773-OVBPK,Male,0,Yes,No,67,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),111.3,7567.2,No +5999-LCXAO,Female,0,No,No,1,No,No phone service,DSL,Yes,No,No,No,No,No,Month-to-month,No,Mailed check,29.9,29.9,No +5206-XZZQI,Male,0,No,No,53,Yes,No,Fiber optic,No,Yes,No,Yes,No,No,Month-to-month,Yes,Mailed check,80.6,4348.1,No +4803-LBYPN,Male,0,Yes,Yes,34,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.8,635.9,No +5759-RCVCB,Female,0,No,No,3,No,No phone service,DSL,No,No,No,No,Yes,No,Month-to-month,No,Credit card (automatic),35.2,108.95,Yes +6372-RFVNS,Female,0,Yes,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,No,Electronic check,78.8,78.8,Yes +2139-FQHLM,Male,0,No,No,19,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,No,Month-to-month,No,Mailed check,89.95,1682.4,No +8261-GWDBQ,Female,1,Yes,No,60,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),116.05,6925.9,No +1093-YSWCA,Male,0,No,No,11,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.55,223.15,No +8938-UMKPI,Female,0,No,No,47,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,106.4,5127.95,Yes +0991-BRRFB,Male,0,No,No,18,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,No,Electronic check,49.4,874.8,Yes +3882-IYOIJ,Female,0,Yes,Yes,60,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),115.25,6758.45,No +8749-TZYEC,Male,0,Yes,No,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),24.8,1874.3,No +1755-FZQEC,Male,0,No,No,39,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.9,791.15,No +3115-JPJDD,Female,0,Yes,No,59,Yes,No,Fiber optic,Yes,No,Yes,No,No,No,One year,Yes,Credit card (automatic),81.25,4639.45,No +5600-KTXFM,Male,0,Yes,Yes,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Mailed check,69.95,143.9,No +3871-IKPYH,Male,1,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,69.1,69.1,Yes +6319-IEJWJ,Male,0,Yes,Yes,20,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,90.2,1776.55,Yes +9025-AOMKI,Female,0,No,No,6,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),93.55,536.4,Yes +6339-TBELP,Male,0,No,No,71,Yes,Yes,Fiber optic,No,No,Yes,Yes,No,No,Two year,Yes,Credit card (automatic),86.4,6172,No +7964-YESJC,Female,0,Yes,No,24,Yes,Yes,DSL,Yes,Yes,Yes,No,No,No,Month-to-month,No,Mailed check,66.3,1559.45,No +6173-GOLSU,Male,1,Yes,No,67,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),94.65,6079,No +5275-SQEIZ,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Mailed check,80.85,80.85,Yes +7716-YTYHG,Female,0,Yes,Yes,48,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,One year,Yes,Mailed check,82.05,4029.95,Yes +9938-ZREHM,Female,0,Yes,No,37,Yes,Yes,DSL,No,Yes,No,Yes,No,Yes,One year,No,Mailed check,72.1,2658.4,No +7950-XWOVN,Male,0,No,No,11,No,No phone service,DSL,No,Yes,Yes,No,No,No,Month-to-month,No,Mailed check,34.7,383.55,No +4390-KYULV,Male,0,Yes,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),20.55,51.15,Yes +4647-MUZON,Female,0,Yes,No,18,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),95.95,1745.5,No +9702-AIUJO,Male,0,Yes,Yes,50,Yes,No,DSL,No,No,No,No,No,No,One year,Yes,Bank transfer (automatic),44.8,2230.85,No +8849-PRIQJ,Female,0,Yes,Yes,67,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,109.4,7281.6,No +8851-RAGOV,Female,0,Yes,No,25,Yes,No,DSL,Yes,Yes,No,Yes,No,Yes,Month-to-month,Yes,Mailed check,71.05,1837.7,No +1304-NECVQ,Female,1,No,No,2,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,78.55,149.55,Yes +5396-IZEPB,Male,0,No,No,9,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),19.7,180.7,No +1729-VLAZJ,Female,0,No,Yes,10,No,No phone service,DSL,Yes,Yes,No,Yes,No,No,One year,No,Mailed check,40.25,411.45,No +8285-ABVLB,Female,0,Yes,No,70,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.85,1328.35,No +0701-TJSEF,Male,0,No,No,9,Yes,No,DSL,Yes,No,Yes,Yes,No,Yes,Month-to-month,Yes,Bank transfer (automatic),68.25,576.95,No +5712-VBOXD,Female,0,No,No,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),20.15,68.45,No +6629-LADHQ,Female,0,No,No,2,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,No,Mailed check,50.95,123.05,No +8945-GRKHX,Female,0,No,Yes,1,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,78.65,78.65,Yes +1559-DTODC,Male,0,No,No,19,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),25.15,468.35,No +4797-MIWUM,Male,0,Yes,Yes,7,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Bank transfer (automatic),20.25,174.7,No +6959-UWKHF,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,42.9,42.9,Yes +8720-RQSBJ,Male,1,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,44,44,No +4537-CIBHB,Female,0,Yes,Yes,9,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.25,172.35,No +3815-SLMEF,Female,0,No,No,3,No,No phone service,DSL,Yes,No,No,Yes,No,No,Month-to-month,No,Mailed check,34.25,139.35,Yes +5154-VEKBL,Female,0,No,No,9,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,Yes,Month-to-month,No,Mailed check,58.5,539.85,Yes +4324-AHJKS,Female,0,No,No,5,Yes,No,DSL,Yes,No,Yes,No,No,No,Month-to-month,No,Credit card (automatic),55.8,300.4,No +4355-CVPVS,Female,0,Yes,Yes,56,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,One year,No,Bank transfer (automatic),88.9,4968,No +4495-LHSSK,Female,0,No,Yes,18,Yes,Yes,DSL,Yes,No,No,No,No,No,Month-to-month,No,Mailed check,57.65,992.7,No +5655-JSMZM,Male,1,No,No,49,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,96.2,4718.25,Yes +5915-ANOEI,Male,0,Yes,No,70,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,No,Mailed check,79.15,5536.5,No +9861-PDSZP,Female,0,No,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),108.05,7806.6,No +4505-EXZHB,Female,1,No,No,6,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,No,Electronic check,74.4,434.1,Yes +7225-CBZPL,Male,1,Yes,No,17,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.8,1563.9,No +6704-UTUKK,Male,0,Yes,No,29,No,No phone service,DSL,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,45.9,1332.4,No +4587-VVTOX,Female,0,Yes,No,6,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,105.3,545.2,Yes +2019-HDCZY,Male,0,Yes,No,63,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Two year,No,Electronic check,102.6,6296.75,No +4652-NNHNY,Male,0,Yes,No,16,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),73.85,1284.2,Yes +8788-DOXSU,Male,0,No,No,59,Yes,No,DSL,No,No,Yes,No,No,Yes,One year,Yes,Bank transfer (automatic),61.35,3645.5,No +7404-JLKQG,Female,0,No,No,3,Yes,No,DSL,No,No,Yes,No,Yes,No,Month-to-month,No,Electronic check,57.55,161.45,No +7421-ZLUPA,Female,0,No,No,8,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,29.25,226.95,No +8972-HJWNV,Female,1,Yes,No,7,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,84.55,646.85,Yes +3274-NSDWE,Female,0,No,No,68,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.6,1441.65,No +2632-IVXVF,Female,0,Yes,Yes,68,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),111.75,7511.3,No +3692-JHONH,Female,1,Yes,No,52,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,106.5,5621.85,No +8915-NNTRC,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),107.7,7919.8,No +5914-GXMDA,Female,0,Yes,No,32,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.3,593.2,No +7463-IFMQU,Female,0,Yes,No,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.05,1423.65,No +2920-RNCEZ,Male,0,Yes,Yes,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),69.95,69.95,No +2541-YGPKE,Male,0,Yes,Yes,42,Yes,No,DSL,Yes,No,No,Yes,No,Yes,One year,No,Credit card (automatic),63.7,2763.35,No +8515-OCTJS,Female,0,No,No,25,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),24.75,692.1,Yes +5382-TEMLV,Male,0,No,No,45,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),50.9,2298.55,No +3441-CGZJH,Female,0,Yes,Yes,43,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),60.4,2640.55,No +9592-ERDKV,Male,0,Yes,No,37,Yes,Yes,DSL,Yes,No,Yes,No,Yes,Yes,One year,No,Mailed check,79.25,2911.8,No +2860-RANUS,Female,1,No,No,20,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),85.8,1727.5,Yes +5261-QSHQM,Female,0,No,No,4,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,24.45,86.6,Yes +4778-IZARL,Male,0,Yes,No,63,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),110.1,6705.7,No +0432-CAJZV,Male,0,No,No,3,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Mailed check,90.7,237.65,No +7008-LZVOZ,Male,0,Yes,Yes,66,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),25.3,1672.35,No +8868-WOZGU,Male,0,No,No,28,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,105.7,2979.5,Yes +1200-TUZHR,Female,1,No,No,8,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,85.2,695.75,No +9365-CSLBQ,Male,0,No,Yes,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,24.35,1654.6,No +1334-FJSVR,Male,0,No,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,24.25,24.25,Yes +5884-FBCTL,Female,0,Yes,Yes,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),25.1,1857.85,No +7130-CTCUS,Male,1,Yes,No,16,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),54.55,825.1,No +6242-FEGFD,Male,0,Yes,No,66,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,No,Two year,No,Mailed check,96.6,6424.25,No +7625-XCQRH,Female,0,No,No,11,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,76.5,837.95,Yes +6194-HBGQN,Male,0,No,No,51,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,No,One year,Yes,Credit card (automatic),81.15,4126.2,No +7634-WSWDB,Female,0,No,Yes,8,No,No phone service,DSL,Yes,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,38.5,330.8,No +6986-IXNDM,Male,0,No,No,14,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,92.9,1337.45,No +1731-TVIUK,Female,0,No,No,4,Yes,Yes,Fiber optic,No,Yes,No,Yes,No,Yes,Month-to-month,Yes,Electronic check,93.5,362.2,Yes +2987-BJXIK,Female,0,No,No,70,Yes,Yes,DSL,Yes,Yes,Yes,No,Yes,Yes,Two year,No,Mailed check,84.7,5991.05,No +9769-TSBZE,Female,0,No,Yes,70,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,Two year,No,Electronic check,66,4891.5,No +0406-BPDVR,Female,1,Yes,No,54,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,One year,Yes,Credit card (automatic),101.5,5373.1,Yes +0618-XWMSS,Male,0,No,Yes,28,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),74.9,2068.55,Yes +1395-WSWXR,Male,0,No,No,24,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.75,487.05,No +6023-GSSXW,Female,0,Yes,No,69,Yes,No,DSL,No,Yes,No,No,No,Yes,Two year,Yes,Credit card (automatic),61.45,4131.2,No +6752-APNJL,Male,0,Yes,Yes,42,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,No,Mailed check,54.5,2301.15,No +5276-KQWHG,Female,1,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.6,131.65,Yes +0420-HLGXF,Female,1,No,No,39,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.75,4036,No +7446-KQISO,Male,0,Yes,Yes,45,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),109.75,4900.65,No +9823-EALYC,Male,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,Yes,Bank transfer (automatic),80.85,5727.45,No +0582-AVCLN,Female,0,No,No,38,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.3,743.05,No +5803-NQJZO,Male,0,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,No,Two year,Yes,Bank transfer (automatic),67.8,4804.65,No +2565-JSLRY,Male,0,No,No,1,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,24.05,24.05,Yes +2607-DHDAK,Male,0,Yes,Yes,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),19.8,1414.65,No +1073-XXCZD,Male,0,Yes,No,55,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),25.7,1443.65,No +0743-HRVFF,Female,0,Yes,Yes,51,No,No phone service,DSL,No,No,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,56.15,2898.95,No +4006-HKYHO,Male,0,No,No,63,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),86.7,5309.5,No +3727-JEZTU,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.4,20.4,No +8143-ETQTI,Female,0,Yes,Yes,23,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,19.65,451.55,No +6689-KXGBO,Female,0,No,No,1,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,50.55,50.55,Yes +9667-TKTVZ,Female,0,No,No,2,Yes,Yes,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Mailed check,54.35,117.05,No +3657-COGMW,Female,1,No,No,52,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Month-to-month,No,Credit card (automatic),108.1,5839.3,No +8570-KLJYJ,Female,0,No,No,36,Yes,Yes,DSL,Yes,No,No,No,No,No,One year,No,Mailed check,54.45,1893.5,No +7754-IXRMC,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,45.35,45.35,No +9473-CBZOP,Female,0,No,No,28,Yes,Yes,DSL,Yes,No,Yes,No,No,No,One year,No,Mailed check,59,1654.45,No +2969-WGHQO,Female,0,Yes,Yes,7,Yes,No,DSL,Yes,Yes,Yes,No,Yes,No,One year,No,Electronic check,69.45,477.05,No +6615-NGGZJ,Male,0,No,No,14,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.55,1415.55,Yes +4334-HOWRP,Male,1,Yes,No,72,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),64.95,4546,No +4255-DDUOU,Female,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.5,20.5,Yes +5863-OOKCL,Female,0,No,No,10,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,18.85,163.2,No +1686-STUHN,Male,0,No,No,42,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),19.8,849.9,No +1329-VHWNP,Female,0,No,No,7,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),25.05,189.95,No +2984-MIIZL,Male,0,No,No,4,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),74.8,321.9,Yes +0266-GMEAO,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),114.3,8058.55,No +5590-YRFJT,Female,0,Yes,No,20,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,24.45,482.8,Yes +5574-NXZIU,Male,0,No,No,63,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),109.2,7049.75,No +0019-GFNTW,Female,0,No,No,56,No,No phone service,DSL,Yes,Yes,Yes,Yes,No,No,Two year,No,Bank transfer (automatic),45.05,2560.1,No +4256-ZWTZI,Female,0,No,Yes,5,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Mailed check,51,286.8,No +8309-PPCED,Female,0,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),110.45,7982.5,No +4098-NAUKP,Male,1,Yes,Yes,68,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,84.65,5683.6,No +5196-WPYOW,Male,0,Yes,Yes,67,Yes,No,DSL,Yes,Yes,No,Yes,No,No,One year,No,Mailed check,60.05,3994.05,No +4608-LCIMN,Male,0,Yes,Yes,8,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),44.65,369.15,No +1485-YDHMM,Male,0,Yes,Yes,52,Yes,Yes,Fiber optic,No,Yes,No,Yes,No,Yes,Month-to-month,Yes,Bank transfer (automatic),93.25,4631.7,No +4054-CUMIA,Female,0,Yes,Yes,18,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.25,401.95,No +0603-TPMIB,Female,0,Yes,Yes,59,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.45,1534.05,No +2525-GVKQU,Female,0,No,No,60,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.6,1093,No +8161-QYMTT,Male,0,No,No,7,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.1,701.3,No +9581-GVBXT,Male,0,Yes,Yes,59,No,No phone service,DSL,Yes,No,Yes,No,No,No,One year,No,Mailed check,34.8,1980.3,No +5862-BRIXZ,Male,0,No,No,46,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),60.75,2893.4,No +5404-GGUKR,Male,0,No,No,5,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,51.35,262.3,No +3308-JSGML,Male,1,Yes,No,59,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),64.05,3886.85,No +2126-GSEGL,Female,0,Yes,No,70,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),84.8,5917.55,No +3677-TNKIO,Female,0,No,No,14,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),71,914,Yes +0440-QEXBZ,Female,0,No,No,44,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,50.15,2139.1,No +2434-EEVDB,Female,0,Yes,No,64,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,No,Two year,Yes,Credit card (automatic),94.6,5948.7,No +6762-QVYJO,Female,0,Yes,Yes,58,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Mailed check,59.75,3624.35,No +6199-IWKGC,Female,1,Yes,No,46,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,One year,No,Electronic check,100.25,4753.85,No +2675-DHUTR,Male,1,Yes,No,58,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,98.9,5780.7,No +8152-VETUR,Female,0,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Two year,Yes,Credit card (automatic),97.7,6869.7,No +9667-EQRXU,Female,1,No,No,30,No,No phone service,DSL,No,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,40.3,1172.95,Yes +7446-YPODE,Male,1,No,No,11,Yes,Yes,DSL,Yes,Yes,No,No,No,No,Month-to-month,No,Bank transfer (automatic),60.25,662.95,No +9522-BNTHX,Female,1,No,No,34,No,No phone service,DSL,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,56.25,1765.95,No +4676-WLUHT,Male,0,No,No,54,No,No phone service,DSL,Yes,Yes,No,No,No,Yes,Two year,No,Bank transfer (automatic),46.2,2431.95,No +3329-WDIOK,Female,0,No,No,3,No,No phone service,DSL,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,50.6,155.35,Yes +7980-MHFLQ,Female,0,Yes,Yes,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,24.9,1859.2,No +2873-ZLIWT,Female,0,Yes,Yes,40,Yes,Yes,Fiber optic,No,No,Yes,Yes,No,No,Month-to-month,Yes,Electronic check,84.85,3303.05,Yes +3415-TAILE,Female,0,Yes,Yes,2,Yes,No,DSL,No,No,No,No,Yes,Yes,Month-to-month,No,Mailed check,65.7,134.35,Yes +0757-WCUUZ,Male,0,Yes,Yes,54,Yes,Yes,DSL,No,No,Yes,No,No,Yes,Two year,No,Credit card (automatic),63.35,3409.1,No +1629-DQQVB,Female,0,No,No,14,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),50.1,709.5,No +1915-IOFGU,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,70.5,70.5,Yes +3045-XETSH,Female,0,No,No,10,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,94.85,953.45,Yes +0374-AACSZ,Female,0,No,No,1,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,No,Electronic check,50.15,50.15,No +7239-HZZCX,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.75,19.75,Yes +4872-VXRIL,Male,0,No,No,56,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,One year,Yes,Bank transfer (automatic),64.65,3665.55,No +9140-CZQZZ,Female,0,Yes,No,68,Yes,No,DSL,Yes,Yes,No,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),79.6,5515.8,No +3423-HHXAO,Female,0,Yes,Yes,14,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,19.5,272,No +9938-TKDGL,Male,0,Yes,Yes,68,Yes,No,Fiber optic,Yes,No,No,Yes,Yes,Yes,Two year,Yes,Electronic check,99.55,6668,No +0531-ZZJWQ,Male,1,Yes,No,55,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74,4052.4,No +6537-QLGEX,Female,0,No,No,16,No,No phone service,DSL,Yes,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,38.9,664.4,No +2688-BHGOG,Male,1,No,No,9,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,79.55,718.55,No +7683-CBDKJ,Male,0,Yes,Yes,14,Yes,No,DSL,Yes,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,65.45,937.6,Yes +0946-CLJTI,Male,1,Yes,No,58,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,98.7,5812.6,Yes +3160-TYXLT,Male,0,No,No,53,No,No phone service,DSL,Yes,Yes,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),46.3,2546.85,No +1325-USMEC,Male,0,Yes,No,70,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,No,Two year,Yes,Credit card (automatic),99.35,6944.5,No +0916-QOFDP,Female,1,Yes,Yes,14,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.8,1346.3,No +0628-CNQRM,Male,0,Yes,Yes,22,Yes,No,DSL,Yes,No,Yes,Yes,Yes,No,One year,Yes,Bank transfer (automatic),67.5,1544.05,Yes +5606-AMZBO,Female,0,Yes,No,10,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),78.15,765.15,No +6199-IPCAO,Female,0,Yes,Yes,29,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,26.1,692.55,No +7665-TOALD,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.6,69.6,Yes +0112-QWPNC,Male,0,Yes,No,49,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,One year,No,Electronic check,84.35,4059.35,Yes +0324-BRPCJ,Female,1,Yes,No,68,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.2,6851.65,Yes +2777-PHDEI,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,No,Electronic check,78.05,78.05,Yes +5640-CAXOA,Female,0,No,No,30,No,No phone service,DSL,No,No,No,Yes,No,Yes,One year,Yes,Credit card (automatic),40.35,1187.05,No +2235-EZAIK,Female,0,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,No,Credit card (automatic),79.2,5401.9,No +3847-BAERP,Female,0,No,No,10,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.9,247,No +1196-AMORA,Male,0,No,No,7,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,73.6,520,Yes +4282-YMKNA,Female,0,No,No,9,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.75,706.6,Yes +1453-RZFON,Female,0,No,Yes,1,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,No,Mailed check,49.9,49.9,No +8263-OKETD,Female,0,No,No,20,Yes,Yes,DSL,No,Yes,No,Yes,No,Yes,Month-to-month,Yes,Credit card (automatic),68.9,1370.35,No +0670-KDOMA,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.25,20.25,No +2476-YGEFM,Female,0,No,No,29,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),76,2215.25,No +8687-BAFGU,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,Yes,No,No,Month-to-month,No,Electronic check,74,74,No +0641-EVBOJ,Male,0,No,No,3,Yes,No,Fiber optic,Yes,No,No,Yes,No,No,Month-to-month,Yes,Mailed check,82.3,214.4,No +0829-XXPLX,Female,0,No,No,20,Yes,No,Fiber optic,Yes,No,Yes,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),89.4,1871.15,No +9974-JFBHQ,Male,0,No,Yes,64,Yes,No,Fiber optic,No,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),99.15,6171.2,No +5356-RHIPP,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.2,20.2,Yes +6624-JDRDS,Female,0,No,No,6,No,No phone service,DSL,Yes,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),29.45,161.45,No +0608-JDVEC,Male,0,Yes,No,50,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Electronic check,19.8,1013.2,No +9780-FKVVF,Male,0,No,No,6,Yes,No,DSL,Yes,No,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),59.15,336.7,No +1919-RTPQD,Male,0,Yes,Yes,7,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,44.75,333.65,No +5214-NLTIT,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Two year,Yes,Credit card (automatic),90.8,6511.8,No +3345-PBBFH,Male,0,Yes,No,8,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),49.55,393.45,No +5055-BRMNE,Female,0,Yes,Yes,67,Yes,Yes,Fiber optic,Yes,No,No,Yes,Yes,Yes,Two year,No,Credit card (automatic),106.7,7009.5,No +9189-JWSHV,Female,1,Yes,No,24,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,93.55,2264.05,Yes +2190-PHBHR,Female,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,Yes,Two year,Yes,Credit card (automatic),94.45,6921.7,No +2650-GYRYL,Male,0,Yes,Yes,33,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),19.45,600.25,No +0746-JTRFU,Male,0,No,No,2,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,25.05,56.35,Yes +5208-FVQKB,Male,0,Yes,No,70,Yes,No,DSL,Yes,Yes,No,Yes,No,Yes,Two year,No,Mailed check,67.95,4664.15,No +7184-LRUUR,Female,0,No,No,22,Yes,No,DSL,No,Yes,Yes,No,Yes,No,One year,No,Bank transfer (automatic),65.25,1441.8,No +6627-CFOSN,Female,0,No,No,59,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),99.45,5623.7,No +3982-JGSFD,Male,0,No,No,36,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Credit card (automatic),20.35,695.85,No +1574-DYCWE,Female,0,Yes,Yes,51,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.95,1028.75,No +7247-XOZPB,Male,0,Yes,No,53,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,No,One year,No,Bank transfer (automatic),77.4,4155.95,No +2466-FCCPT,Female,0,Yes,Yes,20,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),19.7,395.6,No +6211-WWLTF,Male,0,Yes,No,63,Yes,No,Fiber optic,Yes,No,Yes,No,Yes,Yes,Two year,No,Credit card (automatic),99.7,6330.4,No +4826-TZEVA,Female,0,No,No,40,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,No,Credit card (automatic),74.8,2971.7,No +6016-NXBNJ,Male,0,No,No,35,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,19.15,638,No +9138-EFSMO,Male,0,Yes,Yes,26,Yes,No,Fiber optic,No,No,No,No,No,Yes,One year,No,Bank transfer (automatic),78.95,2034.25,No +0576-WNXXC,Male,1,Yes,No,27,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,95.55,2510.2,Yes +4632-XJMEX,Male,0,No,Yes,53,Yes,No,DSL,Yes,Yes,No,Yes,No,No,One year,No,Credit card (automatic),62.85,3419.5,No +8910-LEDAG,Male,1,Yes,No,34,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Credit card (automatic),71.55,2427.35,No +3452-GWUIN,Female,1,Yes,No,19,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.95,1760.25,No +2716-GFZOR,Male,0,Yes,No,43,Yes,No,Fiber optic,Yes,Yes,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),86.1,3551.65,No +3724-UCSHY,Male,0,Yes,Yes,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.55,122.9,No +8626-XHBIE,Male,0,No,Yes,56,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,24.8,1424.2,No +4628-CTTLA,Male,0,No,No,57,No,No phone service,DSL,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,39.3,2111.45,Yes +3192-LNKRK,Male,0,Yes,Yes,34,Yes,No,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Mailed check,84.05,2909.95,No +4439-YRNVD,Female,0,No,No,10,No,No phone service,DSL,No,Yes,No,Yes,No,No,Month-to-month,No,Electronic check,36.25,374,No +2876-VBBBL,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.25,20.25,Yes +6834-NXDCA,Female,0,No,No,13,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,23.9,300.8,Yes +2208-UGTGR,Male,0,No,No,56,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,No,Electronic check,98.6,5581.05,No +3005-TYFRD,Female,0,Yes,No,55,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),103.65,5676.65,No +8670-MEFCP,Female,0,Yes,Yes,36,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),92.9,3379.25,No +3079-BCHLN,Male,0,Yes,No,47,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),19.9,942.95,No +7777-UNYHB,Female,0,Yes,Yes,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),20.1,232.4,No +5597-GLBUC,Female,0,No,No,1,Yes,No,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,85.45,85.45,Yes +7278-CKDNC,Male,1,No,No,24,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,80.5,2088.45,No +2748-MYRVK,Female,0,No,No,63,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,One year,No,Bank transfer (automatic),99.9,6137,Yes +8450-UYIBU,Female,1,No,No,35,No,No phone service,DSL,No,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,39.85,1434.6,No +2969-VAPYH,Female,0,No,No,67,Yes,No,DSL,Yes,Yes,No,Yes,No,No,One year,No,Credit card (automatic),60.5,3870,No +4822-YCXMX,Male,0,No,No,25,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,84.8,2043.45,Yes +7181-OQCUT,Male,0,No,No,21,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,Month-to-month,No,Mailed check,103.85,2215,No +8474-UMLNT,Female,0,No,No,13,Yes,No,DSL,Yes,Yes,No,Yes,No,Yes,Month-to-month,No,Bank transfer (automatic),67.8,842.25,No +9821-POOTN,Male,0,Yes,No,35,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.2,2576.2,Yes +3836-FZSDJ,Male,1,Yes,No,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),24.85,1901,No +9142-XMYJH,Female,0,No,No,29,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),19.35,601.6,No +6559-ILWKJ,Male,0,Yes,No,71,No,No phone service,DSL,No,Yes,No,No,Yes,Yes,Two year,No,Electronic check,49.35,3515.25,Yes +0187-QSXOE,Male,1,Yes,No,7,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,89,605.45,No +7733-UDMTP,Female,1,No,No,57,No,No phone service,DSL,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,55,3094.05,No +2649-HWLYB,Male,0,Yes,No,65,Yes,Yes,DSL,Yes,No,Yes,Yes,No,Yes,Two year,No,Bank transfer (automatic),76.15,4929.55,No +5214-CHIWJ,Male,0,No,No,27,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.3,595.05,No +4229-CZMLL,Male,0,No,No,6,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.9,469.8,Yes +6904-JLBGY,Female,1,No,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),117.35,8436.25,No +2465-BLLEU,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.75,19.75,No +1685-VAYJF,Male,0,No,No,11,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Credit card (automatic),45.2,492,No +8874-EJNSR,Male,0,Yes,Yes,39,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.2,987.95,No +6917-YACBP,Female,1,No,No,59,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,89.75,5496.9,No +5049-MUBWG,Male,0,No,No,26,Yes,No,DSL,Yes,No,No,Yes,Yes,Yes,One year,No,Bank transfer (automatic),75,1908.35,No +4223-WOZCM,Male,1,No,No,2,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,No,Mailed check,49.95,107.1,No +0769-MURVM,Female,0,Yes,Yes,72,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),65.7,4575.35,No +9253-VIFJQ,Male,0,Yes,No,65,Yes,Yes,DSL,Yes,Yes,Yes,No,No,No,One year,No,Credit card (automatic),67.05,4309.55,No +7030-FZTFM,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),110.9,7922.75,No +9741-YLNTD,Male,0,No,No,6,Yes,Yes,Fiber optic,No,No,No,Yes,No,Yes,Month-to-month,Yes,Bank transfer (automatic),87.95,522.35,No +5917-RYRMG,Male,1,No,No,32,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.8,587.7,No +5120-ZBLAI,Female,0,Yes,No,50,Yes,Yes,DSL,No,No,Yes,No,Yes,Yes,One year,No,Bank transfer (automatic),75.7,3876.2,No +1194-BHJYC,Male,0,Yes,No,61,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Mailed check,62.15,3778.85,No +3663-MITLP,Female,0,No,No,15,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,101.25,1457.25,Yes +0906-QVPMS,Male,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),115.15,8349.45,No +9025-ZRPVR,Male,0,No,No,9,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,18.95,185.6,Yes +1905-OEILC,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.5,19.5,No +7858-GTZSP,Female,0,No,No,12,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,86.55,1066.9,No +3285-UCQVC,Female,0,No,No,37,No,No phone service,DSL,No,No,No,Yes,No,No,Month-to-month,No,Credit card (automatic),28.6,973.55,Yes +6248-BSHKG,Male,0,Yes,Yes,61,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.4,1226.45,No +4685-TFLLS,Male,0,Yes,Yes,18,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),19.8,342.3,No +3470-BTGQO,Male,0,No,Yes,21,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,45.65,985.05,No +1209-VFFOC,Male,0,Yes,Yes,68,No,No phone service,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,Yes,Mailed check,56.4,3948.45,No +8224-DWCKX,Male,1,No,No,12,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),73.3,828.05,No +5482-PLVPE,Female,1,No,No,2,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,24.35,41.85,Yes +4553-DVPZG,Female,0,Yes,No,62,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,101.35,6164.7,No +4902-OHLSK,Female,1,No,No,29,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,No,Electronic check,98.65,2862.75,Yes +6917-IAYHD,Male,0,No,Yes,1,No,No phone service,DSL,No,Yes,No,Yes,No,No,Month-to-month,No,Mailed check,33.6,33.6,No +0495-ZBNGW,Male,1,Yes,No,5,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),79.9,343.95,Yes +8620-RJPZN,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,20.7,20.7,No +7572-KPVKK,Male,0,No,Yes,62,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,104.05,6590.5,No +2642-MAWLJ,Female,0,Yes,Yes,36,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.25,717.95,No +2357-COQEK,Female,1,No,No,28,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,103.3,2890.65,Yes +7103-ZGVNT,Female,0,Yes,Yes,69,Yes,Yes,DSL,Yes,Yes,No,Yes,Yes,No,One year,No,Credit card (automatic),73.7,4885.85,No +3737-GCSPV,Female,0,Yes,No,11,Yes,Yes,Fiber optic,Yes,No,No,Yes,Yes,No,Month-to-month,Yes,Credit card (automatic),96.2,1222.05,Yes +2027-WKXMW,Female,0,Yes,No,63,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,108.75,6871.7,No +7137-NAXML,Male,0,No,No,23,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),20.15,405.6,No +2428-ZMCTB,Male,0,No,No,10,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),19.75,208.25,No +2961-VNFKL,Female,0,Yes,No,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),25.95,1801.9,No +1768-HNVGJ,Female,1,No,No,45,Yes,Yes,DSL,Yes,No,No,Yes,No,Yes,Month-to-month,Yes,Electronic check,70.05,3062.45,No +6963-KQYQB,Female,0,Yes,Yes,70,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,24.05,1764.75,No +5934-RMPOV,Female,0,No,Yes,22,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,84.75,1816.75,No +1207-BLKSA,Female,0,Yes,Yes,52,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,23.05,1255.1,No +4088-YLDSU,Male,0,Yes,No,55,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,104.15,5743.05,Yes +8316-BBQAY,Female,0,No,No,65,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),59.95,3921.1,No +1166-PQLGG,Female,0,Yes,Yes,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.55,1463.45,No +3146-JTQHR,Male,0,Yes,No,10,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),19.6,189.45,No +4291-YZODP,Female,0,No,Yes,7,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.05,96.8,No +4395-PZMSN,Male,1,No,No,5,Yes,No,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,85.55,408.5,No +6427-FEFIG,Female,0,Yes,Yes,24,Yes,Yes,DSL,Yes,No,Yes,No,Yes,Yes,Two year,No,Credit card (automatic),78.6,1846.65,No +0017-IUDMW,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),116.8,8456.75,No +8706-HRADD,Male,0,No,No,21,No,No phone service,DSL,Yes,No,No,Yes,Yes,No,Month-to-month,Yes,Mailed check,43.55,1011.5,No +9955-QOPOY,Male,0,Yes,No,69,No,No phone service,DSL,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),60.8,4263.4,No +4385-ZKVNW,Male,0,Yes,Yes,44,Yes,No,DSL,No,Yes,No,Yes,No,No,Month-to-month,Yes,Bank transfer (automatic),54.9,2549.1,No +5446-DKWYW,Female,1,Yes,Yes,61,Yes,Yes,DSL,No,No,Yes,No,Yes,No,One year,Yes,Electronic check,65.2,3965.05,No +2034-CGRHZ,Male,1,No,No,24,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),102.95,2496.7,Yes +5797-APWZC,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,90.6,90.6,Yes +3683-QKIUE,Female,0,No,No,6,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Bank transfer (automatic),50.8,288.05,Yes +4228-ZGYUW,Male,0,No,No,4,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,90.05,368.1,Yes +9031-ZVQPT,Male,0,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,108.2,7840.6,No +2990-IAJSV,Male,0,No,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),92,6632.75,No +8107-KNCIM,Male,1,Yes,No,14,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.1,1013.35,No +9027-YFHQJ,Male,0,No,No,7,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Bank transfer (automatic),25.05,152.95,No +5176-LDKUH,Female,0,No,No,48,Yes,No,Fiber optic,No,Yes,No,No,No,No,One year,No,Electronic check,75.15,3772.65,No +4644-OBGFZ,Male,0,Yes,Yes,55,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.5,1026.35,No +7926-IJOOU,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),19.3,19.3,No +6480-YAGIY,Male,0,No,No,45,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,No,Credit card (automatic),112.2,5031.85,No +4029-HPFVY,Male,0,No,No,3,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,70.3,220.4,No +7602-DBTOU,Female,0,Yes,No,71,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.6,1416.5,No +5345-BMKWB,Male,0,Yes,No,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.25,158.35,No +3519-ZKXGG,Female,0,Yes,No,3,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.85,256.6,Yes +5457-COLHT,Male,0,Yes,Yes,69,Yes,No,DSL,Yes,Yes,No,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),80.65,5542.55,No +6416-TVAIH,Male,0,Yes,Yes,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,68.5,68.5,Yes +5451-YHYPW,Female,1,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),115.75,8443.7,No +5108-ADXWO,Male,0,No,No,11,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,73.5,791.75,Yes +7998-WNZEM,Male,0,No,No,71,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,No,Bank transfer (automatic),80.6,5708.2,No +3066-RRJIO,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,69.95,69.95,Yes +4664-NJCMS,Female,0,Yes,No,33,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),59.55,2016.3,No +0307-BCOPK,Female,0,No,No,16,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.05,326.65,No +7629-WFGLW,Female,1,Yes,No,56,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,No,One year,No,Electronic check,95.65,5471.75,No +2542-HYGIQ,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),19.95,19.95,No +6715-OFDBP,Male,0,No,No,5,Yes,No,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,70.05,346.4,Yes +5016-LIPDW,Male,0,Yes,Yes,57,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.4,1061.6,No +6481-LXPWL,Male,0,Yes,Yes,56,No,No phone service,DSL,No,Yes,Yes,No,No,No,One year,Yes,Credit card (automatic),36.1,1971.5,No +1567-DSCIC,Male,0,No,No,8,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,94,773.65,Yes +2150-UWTFY,Female,0,Yes,Yes,22,Yes,No,DSL,Yes,Yes,Yes,No,No,No,Month-to-month,No,Mailed check,61.15,1422.05,Yes +6124-ACRHJ,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.75,19.75,No +9362-MWODR,Female,0,No,Yes,40,Yes,No,DSL,Yes,No,No,Yes,Yes,No,Month-to-month,Yes,Credit card (automatic),64.1,2460.35,No +9975-GPKZU,Male,0,Yes,Yes,46,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.75,856.5,No +9625-RZFUK,Male,0,Yes,Yes,63,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.7,1275.85,No +5153-LXKDT,Male,0,Yes,Yes,68,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Electronic check,110.2,7467.5,No +5161-UBZXI,Male,0,Yes,Yes,69,Yes,No,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),106.35,7261.75,No +1020-JPQOW,Female,0,Yes,No,56,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,No,No,Month-to-month,No,Electronic check,90.55,5116.6,No +7919-ZODZZ,Female,0,Yes,Yes,10,Yes,No,DSL,No,Yes,Yes,No,No,Yes,One year,Yes,Mailed check,65.9,660.05,No +0565-JUPYD,Male,0,No,No,63,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,No,One year,No,Credit card (automatic),104.5,6590.8,No +6867-ACCZI,Female,0,Yes,Yes,24,No,No phone service,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,Yes,Mailed check,52.5,1208.15,No +5939-XAIXZ,Female,0,No,No,19,Yes,Yes,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Mailed check,56.1,1033.9,No +9054-FOWNV,Male,0,Yes,Yes,22,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,88.75,1885.15,No +2683-BPJSO,Male,0,Yes,No,29,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,84.45,2467.1,Yes +2157-MXBJS,Male,0,Yes,No,13,Yes,Yes,DSL,No,No,Yes,No,Yes,Yes,One year,Yes,Mailed check,75.3,989.45,Yes +8207-VVMYB,Female,0,Yes,No,70,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),26,2006.95,No +9732-EQMWY,Female,0,Yes,No,49,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,No,Electronic check,99.4,5025,No +9360-AHGNL,Female,1,Yes,No,43,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Mailed check,109.55,4830.25,Yes +1087-UDSIH,Female,0,No,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.6,59.75,Yes +5269-NRGDP,Male,0,Yes,Yes,42,Yes,No,DSL,No,No,Yes,Yes,Yes,Yes,One year,No,Electronic check,73.15,3088.25,No +6195-MELTI,Male,0,No,No,57,Yes,No,DSL,No,Yes,No,Yes,No,No,One year,Yes,Mailed check,54.65,3134.7,No +5485-WUYWF,Male,1,No,No,2,Yes,No,DSL,Yes,No,Yes,No,Yes,No,Month-to-month,No,Bank transfer (automatic),66.4,94.55,Yes +2121-JAFOM,Female,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),115.55,8312.4,No +8818-DOPVL,Female,1,No,No,46,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,104.45,4863.85,No +2632-UCGVD,Male,1,Yes,No,66,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),100.05,6871.9,Yes +5445-PZWGX,Male,0,No,No,62,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,No,Yes,One year,No,Electronic check,102,6529.25,Yes +1227-UDMZR,Female,0,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),91.15,6637.9,No +5198-HQAEN,Male,0,Yes,Yes,35,Yes,No,Fiber optic,No,Yes,No,Yes,Yes,No,One year,Yes,Electronic check,89.7,3165.6,No +9170-CCKOU,Male,0,Yes,No,17,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,No,Month-to-month,No,Credit card (automatic),90.2,1454.15,Yes +2167-FQSTQ,Female,0,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,92.4,6786.1,No +2819-GWENI,Female,0,Yes,Yes,28,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.9,543,No +1043-YCUTE,Male,0,Yes,No,56,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),25.15,1327.15,Yes +3814-MLAXC,Female,0,No,No,31,Yes,Yes,Fiber optic,No,No,No,Yes,No,No,Month-to-month,Yes,Credit card (automatic),79.85,2404.15,Yes +3572-UUHRS,Male,0,No,No,45,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),18.85,867.3,No +2692-PFYTJ,Female,0,No,No,1,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,25.75,25.75,No +1226-UDFZR,Female,0,No,No,2,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,49.6,114.7,Yes +5955-EPOAZ,Female,0,No,No,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.95,109.5,No +6821-JPCDC,Female,0,Yes,No,48,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,97.05,4692.95,No +8815-LMFLX,Male,0,Yes,Yes,25,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Bank transfer (automatic),25.4,546.85,No +9135-HSWOC,Male,0,Yes,Yes,64,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),19.7,1274.05,No +8582-KRHPJ,Male,0,No,No,50,No,No phone service,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,35,1782.4,No +5811-IWXYM,Female,0,Yes,Yes,52,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,One year,No,Bank transfer (automatic),101.25,5301.1,No +7044-YAACC,Male,1,Yes,No,4,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.2,280.35,No +8189-XRIKE,Female,1,No,No,32,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,90.95,2897.95,No +1506-YJTYT,Male,0,Yes,Yes,45,Yes,Yes,DSL,Yes,Yes,No,Yes,Yes,No,Two year,No,Credit card (automatic),73.85,3371,No +4123-DVHPH,Male,0,Yes,No,9,Yes,Yes,Fiber optic,Yes,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,88.05,801.3,No +6425-YQLLO,Female,1,Yes,No,66,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),105.95,6975.25,Yes +5442-UTCVD,Male,0,No,Yes,3,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,No,Electronic check,91.85,257.05,Yes +2228-BZDEE,Female,0,No,No,54,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.1,1079.45,No +7734-DBOAI,Female,0,Yes,Yes,1,No,No phone service,DSL,No,No,No,Yes,Yes,No,Month-to-month,No,Electronic check,40.1,40.1,Yes +2789-CZANW,Female,0,Yes,Yes,64,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),110.3,6997.3,No +2091-RFFBA,Female,1,No,No,31,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,73.9,2217.15,Yes +2114-MGINA,Female,0,No,No,14,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Mailed check,89.8,1129.1,Yes +7596-LDUXP,Female,0,No,No,12,Yes,No,Fiber optic,Yes,No,No,No,Yes,No,One year,Yes,Credit card (automatic),85.15,979.05,No +3740-RLMVT,Male,1,Yes,No,67,Yes,No,DSL,Yes,Yes,No,Yes,No,No,One year,Yes,Bank transfer (automatic),60.95,4119.4,No +4489-SNOJF,Female,0,Yes,Yes,35,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,No,Month-to-month,No,Electronic check,72.25,2568.55,Yes +2192-OZITF,Female,0,No,No,45,Yes,Yes,DSL,Yes,No,No,Yes,No,Yes,Two year,No,Mailed check,73.55,3349.1,No +5651-CPDND,Male,0,No,No,10,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,46,492.1,No +2186-QZEYA,Female,1,No,No,29,Yes,Yes,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),58.55,1718.95,No +1131-ALZWV,Female,0,No,No,24,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),24.6,605.25,No +7729-XBTWX,Male,0,Yes,Yes,66,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,19.75,1344.5,No +9134-WYRVP,Male,0,No,No,51,Yes,No,Fiber optic,Yes,No,No,No,Yes,No,One year,No,Mailed check,86.35,4267.15,No +3284-SVCRO,Female,0,Yes,No,45,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.5,1121.05,No +9732-OUYRN,Female,0,Yes,No,49,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19,918.7,No +0559-CKHUS,Female,0,Yes,No,29,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,19.55,521.8,No +2931-SVLTV,Male,0,Yes,Yes,40,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),110.1,4469.1,No +6899-PPEEA,Female,1,No,No,37,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,96.55,3580.3,Yes +7504-UWHNB,Male,0,No,No,25,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,69.75,1729.35,No +2582-FFFZR,Female,0,No,No,22,No,No phone service,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,50.6,1073.3,No +8908-NMQTX,Male,0,No,No,72,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),65.6,4566.5,No +2187-LZGPL,Female,0,No,No,7,No,No phone service,DSL,No,Yes,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),40.1,293.3,Yes +1431-AIDJQ,Male,0,Yes,Yes,33,Yes,No,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),82.1,2603.1,No +6288-LBEAR,Female,0,No,No,23,Yes,No,Fiber optic,No,Yes,No,Yes,No,No,Month-to-month,Yes,Mailed check,79.1,1783.75,No +4597-NUCQV,Male,1,No,No,24,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,101.25,2440.15,Yes +9019-QVLZD,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,No,Electronic check,79.55,79.55,Yes +8413-YNHNV,Male,0,No,No,69,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Mailed check,90.65,6322.1,No +5808-TOTXO,Female,0,No,Yes,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Credit card (automatic),20.55,57.4,No +4369-NYSCF,Male,0,No,No,56,Yes,No,DSL,No,Yes,No,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),75.75,4284.65,No +6333-YDVLT,Male,0,No,No,65,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),110,7138.65,No +5324-KTGCG,Male,0,Yes,No,71,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Electronic check,20.85,1539.75,No +5599-HVLTW,Female,1,No,No,14,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),80.35,1058.1,No +7394-LWLYN,Female,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.15,123.8,No +3707-LRWZD,Female,0,No,No,32,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,One year,No,Electronic check,84.05,2781.85,Yes +6873-UDNLD,Male,0,No,No,40,Yes,No,DSL,Yes,No,Yes,No,No,Yes,Month-to-month,No,Electronic check,67.45,2731,No +2700-LUEVA,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),20.75,20.75,No +1455-ESIQH,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,89.1,89.1,Yes +0958-YHXGP,Female,0,No,No,7,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,69.9,497.3,No +1101-SSWAG,Female,0,Yes,No,15,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,51.1,711.15,No +2979-SXESE,Female,0,Yes,Yes,17,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,No,Month-to-month,No,Electronic check,94.4,1607.2,Yes +4013-TLDHQ,Male,0,No,No,19,Yes,No,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,78.25,1490.95,Yes +5743-KHMNA,Male,0,No,No,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),25.55,1898.1,No +4194-FJARJ,Female,0,Yes,Yes,54,Yes,Yes,DSL,Yes,No,No,Yes,No,No,Two year,No,Bank transfer (automatic),60,3273.95,No +5325-UWTWJ,Male,0,Yes,No,31,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,No,No,Month-to-month,Yes,Credit card (automatic),90.55,2929.75,No +3969-GYXEL,Female,0,No,No,11,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,No,Electronic check,76.4,838.7,No +9208-OLGAQ,Female,1,No,No,18,Yes,No,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,84.95,1443.65,No +3244-CQPHU,Female,1,No,No,72,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),110.1,7746.7,No +2674-MLXMN,Female,1,No,No,71,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),99.65,6951.15,No +9708-HPXWZ,Male,1,No,No,5,No,No phone service,DSL,No,No,Yes,Yes,Yes,No,Month-to-month,No,Credit card (automatic),45.4,214.75,No +6992-TKNYO,Male,0,Yes,No,38,Yes,Yes,DSL,No,No,Yes,Yes,No,Yes,One year,No,Credit card (automatic),69,2669.45,No +4468-YDOVK,Male,0,No,Yes,5,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Bank transfer (automatic),48.65,235.2,No +3754-DXMRT,Male,1,No,No,2,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,44.15,92.65,Yes +5792-JALQC,Female,1,No,No,52,Yes,Yes,DSL,Yes,No,Yes,No,No,No,Two year,No,Bank transfer (automatic),59.85,3103.25,No +7130-VTEWQ,Female,1,No,No,8,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.75,606.25,Yes +2200-DSAAL,Female,0,No,No,68,Yes,Yes,DSL,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Electronic check,80.65,5330.2,No +4302-ZYFEL,Male,0,Yes,Yes,69,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Credit card (automatic),20.55,1403.1,No +9351-LZYGF,Female,0,Yes,No,42,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,Month-to-month,Yes,Credit card (automatic),66.4,2727.8,No +4366-CTOUZ,Female,0,No,No,50,Yes,No,Fiber optic,No,Yes,No,Yes,Yes,Yes,Two year,Yes,Mailed check,100.2,5038.45,No +6121-VZNQB,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.1,19.1,Yes +7903-CMPEY,Male,1,Yes,No,1,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,80.3,80.3,Yes +1518-OMDIK,Male,0,Yes,No,33,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),44.55,1462.6,No +6671-NGWON,Female,0,No,No,7,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.35,150.6,No +0595-ITUDF,Male,0,Yes,Yes,64,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,91.8,5960.5,No +6996-KNSML,Female,0,No,No,1,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,74.9,74.9,Yes +1955-IBMMB,Male,0,No,No,59,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),20.2,1192.3,No +0096-BXERS,Female,0,Yes,No,6,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,50.35,314.55,No +3806-YAZOV,Female,0,No,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,18.8,56,No +7998-ZLXWN,Female,0,Yes,No,15,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),20.45,330.8,No +6253-WRFHY,Male,0,Yes,Yes,13,Yes,No,DSL,No,No,No,No,Yes,Yes,One year,Yes,Electronic check,64.75,877.35,No +9133-AYJZG,Female,0,No,No,23,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),98.7,2249.1,No +2675-OTVVJ,Male,1,Yes,No,31,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,No,Month-to-month,No,Electronic check,89.45,2807.65,No +8680-CGLTP,Male,0,No,No,29,Yes,No,DSL,Yes,Yes,No,Yes,No,No,One year,Yes,Electronic check,58.75,1696.2,No +8430-TWCBX,Female,0,Yes,No,49,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),20.7,1032.05,No +5018-GWURO,Female,0,Yes,No,56,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),85.6,4902.8,No +6741-QRLUP,Female,0,No,No,63,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,Yes,Credit card (automatic),80.3,4995.35,No +4737-HOBAX,Male,0,Yes,No,63,Yes,Yes,DSL,No,No,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),79.8,5034.05,No +0537-QYZZN,Male,1,Yes,Yes,24,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,79.85,1857.75,No +3340-QBBFM,Male,1,Yes,No,36,Yes,No,DSL,No,No,Yes,Yes,No,No,One year,No,Credit card (automatic),54.1,1992.85,No +1704-NRWYE,Female,1,No,No,9,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,80.85,751.65,Yes +2592-SEIFQ,Male,0,No,No,3,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,24.75,66.95,Yes +8200-KLNYW,Female,0,Yes,No,21,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,One year,No,Mailed check,80.9,1714.95,No +3372-CDXFJ,Male,0,Yes,Yes,13,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),24.5,343.6,No +4781-ZXYGU,Male,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Bank transfer (automatic),20.15,20.15,No +7632-YUTXB,Female,0,Yes,Yes,25,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.05,520.1,No +2718-YSKCS,Male,0,Yes,Yes,71,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),19.6,1387.45,No +9896-UYMIE,Male,0,No,No,66,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),114.3,7383.7,No +0853-NWIFK,Female,0,No,No,45,Yes,No,Fiber optic,Yes,Yes,No,No,Yes,Yes,One year,Yes,Electronic check,100.3,4483.95,No +8212-CRQXP,Female,0,Yes,No,22,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),80,1706.45,No +6980-CDGFC,Female,0,Yes,No,67,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),20.85,1327.4,No +7691-XVTZH,Female,0,Yes,No,68,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Two year,Yes,Bank transfer (automatic),89.95,5974.3,No +2520-SGTTA,Female,0,Yes,Yes,0,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20, ,No +7481-ATQQS,Female,1,No,No,49,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Credit card (automatic),90.85,4515.85,Yes +2277-VWCNI,Female,1,No,No,4,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,48.75,179.85,No +1088-CNNKB,Male,0,Yes,No,63,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,One year,No,Credit card (automatic),80,5040.2,No +8642-GVWRF,Female,0,Yes,No,2,Yes,No,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,No,Bank transfer (automatic),79.7,165,Yes +1930-BZLHI,Male,0,No,No,21,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,20.35,422.7,No +3400-ESFUW,Male,0,Yes,Yes,55,Yes,No,DSL,Yes,Yes,No,Yes,No,No,Two year,No,Bank transfer (automatic),57.55,3046.4,Yes +5868-YTYKS,Male,0,No,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.25,20.25,No +3525-DVKFN,Female,0,No,No,17,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.4,358.05,No +1482-OXZSY,Male,0,No,No,30,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),100.4,2936.25,No +0377-JBKKT,Male,0,Yes,Yes,22,Yes,No,DSL,Yes,Yes,No,Yes,No,No,Month-to-month,Yes,Mailed check,57.95,1271.8,No +5778-BVOFB,Female,0,No,No,9,Yes,No,DSL,No,No,No,Yes,Yes,No,Month-to-month,Yes,Bank transfer (automatic),59.5,530.05,No +3373-YZZYM,Male,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.2,19.2,No +2057-ZBLPD,Female,0,Yes,No,21,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,86.5,1808.7,Yes +0228-MAUWC,Male,0,No,No,19,Yes,Yes,DSL,No,No,Yes,Yes,No,No,Month-to-month,No,Electronic check,59.55,1144.6,No +5502-RLUYV,Female,0,Yes,Yes,69,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,103.95,7446.9,Yes +0023-HGHWL,Male,1,No,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,25.1,25.1,Yes +7663-YJHSN,Female,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,No,Two year,Yes,Bank transfer (automatic),103.95,7556.9,No +4915-BFSXL,Male,0,Yes,Yes,70,Yes,Yes,DSL,Yes,No,Yes,No,Yes,No,Two year,No,Credit card (automatic),68.95,4858.7,No +3086-RUCRN,Female,0,No,No,66,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,Yes,Month-to-month,Yes,Bank transfer (automatic),103.1,6595,No +5215-LNLDJ,Female,0,Yes,Yes,7,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,24.7,149.05,No +7576-JMYWV,Female,1,Yes,Yes,46,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,110.2,4972.1,No +9039-RBEEE,Male,0,No,No,39,No,No phone service,DSL,Yes,Yes,No,Yes,Yes,No,Month-to-month,Yes,Credit card (automatic),48.95,1880.85,Yes +0257-KXZGU,Female,0,Yes,Yes,32,Yes,Yes,DSL,No,Yes,Yes,No,No,No,Month-to-month,No,Bank transfer (automatic),62.45,2045.55,No +1307-ATKGB,Male,0,No,No,24,Yes,No,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,89.55,2187.15,No +8417-FMLZI,Male,0,Yes,Yes,6,Yes,No,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),83.55,477.55,Yes +3714-XPXBW,Female,0,No,No,37,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,No,Month-to-month,Yes,Credit card (automatic),78.9,2976.95,No +1850-AKQEP,Male,0,No,Yes,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.35,178.7,No +2824-DXNKN,Female,0,Yes,Yes,72,Yes,Yes,DSL,Yes,No,Yes,No,Yes,No,Two year,Yes,Bank transfer (automatic),71.45,5025.85,No +5227-JSCFE,Male,1,Yes,No,71,No,No phone service,DSL,Yes,Yes,Yes,Yes,No,No,Two year,No,Credit card (automatic),46.35,3353.4,No +0848-ZGQIJ,Female,0,Yes,No,16,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),94.65,1461.15,No +3621-CHYVB,Female,0,Yes,No,57,No,No phone service,DSL,Yes,No,Yes,Yes,No,Yes,Month-to-month,Yes,Bank transfer (automatic),49.9,2782.4,No +8042-RNLKO,Male,0,No,No,66,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),25.45,1699.15,No +1792-UXAFY,Female,1,No,No,17,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,89.15,1496.9,Yes +5372-FBKBN,Female,0,No,Yes,21,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.75,452.2,No +0420-TXVSG,Male,0,Yes,No,66,Yes,Yes,DSL,Yes,Yes,Yes,No,No,No,Two year,Yes,Credit card (automatic),66.1,4428.45,No +6217-TOWGS,Female,0,Yes,No,17,Yes,Yes,DSL,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),75.4,1322.55,No +0515-YPMCW,Male,0,No,Yes,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,70.45,70.45,Yes +0378-XSZPU,Male,0,Yes,No,58,Yes,No,DSL,Yes,Yes,Yes,No,No,No,One year,No,Credit card (automatic),60.3,3563.8,Yes +1045-LTCYT,Female,0,Yes,Yes,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),21.05,139.75,No +1544-JJMYL,Male,0,No,No,27,Yes,No,DSL,Yes,No,Yes,Yes,Yes,No,One year,No,Credit card (automatic),69.35,1927.3,No +4636-JGAAI,Male,0,Yes,No,34,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,No,Mailed check,88.85,3000.25,No +6874-SGLHU,Male,0,No,No,30,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,One year,Yes,Bank transfer (automatic),97,3021.3,No +5951-AOFIH,Male,0,No,No,33,Yes,No,DSL,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Credit card (automatic),66.4,2245.4,No +4729-XKASR,Male,0,No,Yes,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,24.75,24.75,Yes +3059-NGMXB,Male,0,Yes,Yes,14,Yes,Yes,DSL,Yes,Yes,No,No,No,Yes,Month-to-month,No,Mailed check,69.2,944.65,No +8652-YHIYU,Female,0,No,Yes,16,Yes,Yes,Fiber optic,No,No,No,Yes,No,No,One year,Yes,Credit card (automatic),79.5,1264.2,No +5278-PNYOX,Female,0,No,No,49,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),100.65,4917.75,No +5449-FIBXJ,Male,0,Yes,Yes,19,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,No,Electronic check,103.3,2012.7,Yes +3486-HOOGQ,Female,0,Yes,Yes,70,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,No,Bank transfer (automatic),79.7,5743.3,No +5061-PBXFW,Female,0,Yes,Yes,32,Yes,No,DSL,Yes,Yes,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),61.4,1864.65,No +8630-FJLIB,Female,0,No,No,18,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.8,1221.65,No +3891-NLXJB,Male,0,No,No,37,No,No phone service,DSL,Yes,Yes,No,Yes,No,No,Two year,Yes,Mailed check,40.55,1390.85,No +4749-OJKQU,Female,0,No,No,4,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.65,302.35,No +0577-WHMEV,Female,0,Yes,No,16,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,No,Month-to-month,No,Electronic check,90.7,1374.9,No +5453-AXEPF,Male,0,Yes,No,17,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),80.5,1336.9,No +3639-XJHKQ,Female,0,No,Yes,19,Yes,No,DSL,Yes,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,60.6,1297.8,No +3716-LRGXK,Male,0,Yes,No,60,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Two year,No,Credit card (automatic),101.15,6067.4,No +2263-SFSQZ,Male,0,Yes,Yes,51,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,24.95,1222.25,No +9950-MTGYX,Male,0,Yes,Yes,28,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),20.3,487.95,No +3397-AVTKU,Male,0,No,No,43,Yes,No,DSL,No,Yes,No,No,No,Yes,Two year,Yes,Electronic check,60,2548.55,No +4825-FUREZ,Male,0,Yes,No,42,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Electronic check,20.25,835.5,No +9837-BMCLM,Male,0,No,No,3,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,78.5,242.05,Yes +2672-OJQZP,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,44.75,44.75,No +0137-UDEUO,Female,0,No,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.85,63.75,Yes +3134-DSHVC,Female,0,No,No,63,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,No,Two year,No,Credit card (automatic),98,6218.45,No +6161-UUUTA,Male,1,No,No,3,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,79.9,260.9,Yes +7821-DPRQE,Male,0,Yes,No,68,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,107.7,7320.9,No +6543-XRMYR,Female,1,No,No,30,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.7,2967.35,Yes +2001-EWBQU,Female,0,No,No,60,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Two year,No,Electronic check,104.7,6333.8,No +4925-LMHOK,Male,0,No,No,15,Yes,Yes,DSL,No,Yes,No,Yes,No,No,Month-to-month,Yes,Credit card (automatic),58.6,939.7,Yes +1608-GMEWB,Male,1,No,No,45,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),93.9,4200.25,No +6695-AMZUF,Female,0,Yes,No,70,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),86.45,5950.2,No +1455-UGQVH,Male,0,Yes,No,10,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,98.5,1037.75,Yes +8410-BGQXN,Male,0,No,No,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.4,93.4,No +8280-MQRQN,Female,0,No,No,1,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Mailed check,50.45,50.45,Yes +1619-YWUBB,Female,0,Yes,No,68,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),24.95,1614.9,No +7611-YKYTC,Male,0,Yes,Yes,22,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),75,1573.95,No +2037-SGXHH,Male,0,Yes,Yes,38,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,94.65,3624.3,Yes +3178-FESZO,Female,0,No,No,1,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),100.25,100.25,Yes +0365-GXEZS,Male,0,Yes,No,18,Yes,No,Fiber optic,No,No,Yes,Yes,No,No,Month-to-month,No,Electronic check,78.2,1468.75,No +0082-OQIQY,Male,0,No,No,29,Yes,No,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,94.2,2607.6,No +6087-MVHJH,Female,0,No,No,16,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,88.45,1422.1,Yes +4603-JANFB,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.85,69.85,Yes +3018-TFTSU,Male,0,No,No,12,Yes,No,Fiber optic,Yes,No,Yes,No,No,No,Month-to-month,No,Bank transfer (automatic),81.7,858.6,Yes +3606-SBKRY,Male,0,No,No,31,No,No phone service,DSL,No,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,50.05,1523.4,No +4806-KEXQR,Male,0,No,No,4,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,79.9,324.3,Yes +0667-NSRGI,Female,0,Yes,No,48,Yes,Yes,DSL,No,No,Yes,Yes,No,Yes,One year,Yes,Mailed check,69.55,3435.6,No +7083-YNSKY,Female,0,No,No,15,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),25.4,399.6,Yes +6893-ODYYE,Male,0,No,No,50,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,No,No,One year,Yes,Credit card (automatic),90.1,4549.45,No +8242-JSVBO,Male,0,No,No,7,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),44.65,322.5,No +2479-BRAMR,Male,1,Yes,No,41,Yes,Yes,Fiber optic,Yes,No,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),83.75,3273.55,Yes +9541-ZPSEA,Male,0,Yes,Yes,68,Yes,No,Fiber optic,Yes,No,Yes,No,No,No,Two year,No,Credit card (automatic),80.35,5375.15,No +2665-NPTGL,Female,1,Yes,No,26,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),98.1,2510.7,No +1139-WUOAH,Male,0,No,No,57,No,No phone service,DSL,No,No,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),53.35,3090.05,No +4693-VWVBO,Female,0,No,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,19.55,61.05,No +7434-SHXLS,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.9,20.9,Yes +6937-GCDGQ,Male,0,Yes,Yes,19,Yes,No,DSL,Yes,No,No,No,No,No,One year,Yes,Bank transfer (automatic),48.95,955.6,No +0988-JRWWP,Female,0,No,No,3,Yes,No,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,54.2,140.4,No +5075-JSDKI,Female,0,No,No,59,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Electronic check,24.45,1493.1,No +7908-QCBCA,Female,0,Yes,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,69.4,69.4,Yes +8644-XYTSV,Male,0,Yes,No,42,No,No phone service,DSL,Yes,No,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),40.15,1626.05,No +6711-FLDFB,Female,0,No,No,7,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.9,541.15,Yes +3873-WOSBC,Male,0,Yes,No,67,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.6,1784.9,No +7465-ZZRVX,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.35,70.35,No +7975-JMZNT,Male,0,Yes,No,66,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),91.7,6075.9,No +7251-XFOIL,Female,0,No,No,61,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,No,Mailed check,89.2,5500.6,No +4116-IQRFR,Male,0,Yes,Yes,4,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),24.1,73.1,No +3714-JTVOV,Female,1,Yes,No,42,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),74.15,3229.4,Yes +8259-DZLIZ,Female,0,Yes,Yes,64,Yes,Yes,DSL,No,Yes,No,No,No,No,One year,Yes,Bank transfer (automatic),53.85,3399.85,No +0442-ZXKVS,Female,1,Yes,No,54,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),115.6,6431.05,No +7853-WNZSY,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),19.75,19.75,No +3120-FAZKD,Male,0,Yes,Yes,54,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),24.05,1230.9,No +8606-OEGQZ,Female,0,No,Yes,18,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.3,454.65,No +0225-ZORZP,Male,0,No,No,3,Yes,No,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,No,Electronic check,84.3,235.05,No +4702-IOQDC,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.1,70.1,Yes +9489-JMTTN,Female,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),89.75,6595.9,No +0575-CUQOV,Male,1,Yes,No,60,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,97.95,5867,No +0967-BMLBD,Female,0,Yes,Yes,11,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,20,196.35,No +6178-KFNHS,Female,0,No,Yes,12,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,78.3,909.25,Yes +2830-LEWOA,Male,0,Yes,Yes,61,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,No,Credit card (automatic),103.9,6449.15,No +5006-MXVRN,Female,0,No,No,39,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.7,762.45,No +1264-BYWMS,Male,0,No,No,55,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,96.8,5283.95,Yes +9658-WYUFB,Female,0,No,No,17,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,94.4,1617.5,Yes +8327-WKMIE,Male,0,No,No,37,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),20.15,785.75,No +6917-FIJHC,Female,0,Yes,No,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,26,1776,No +5329-KRDTM,Male,1,Yes,No,72,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,No,Two year,No,Credit card (automatic),77.35,5396.25,No +7797-EJMDP,Female,0,No,No,8,Yes,No,DSL,Yes,No,No,Yes,No,Yes,Month-to-month,No,Bank transfer (automatic),66.05,574.5,No +3530-VWVGU,Female,0,Yes,Yes,22,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.9,400.3,No +2013-SGDXK,Female,0,No,No,1,Yes,No,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,No,Electronic check,84.3,84.3,Yes +6368-NWMCE,Female,0,No,No,38,Yes,Yes,DSL,No,Yes,No,Yes,No,Yes,Month-to-month,No,Credit card (automatic),68.15,2656.3,No +3633-CDBUW,Male,0,No,Yes,17,Yes,No,DSL,No,Yes,Yes,Yes,Yes,Yes,One year,No,Electronic check,80.85,1445.95,No +0707-HOVVN,Female,1,No,No,70,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,No,Two year,Yes,Bank transfer (automatic),75.5,5212.65,No +8580-QVLOC,Female,1,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),92.45,6440.25,Yes +3956-MGXOG,Female,0,No,No,28,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,80.6,2244.95,No +9274-UARKJ,Female,0,No,No,15,Yes,No,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),83.2,1130,No +4077-HWUYD,Male,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),87.55,6463.15,No +2012-NWRPA,Female,1,Yes,No,11,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.55,1131.2,Yes +8808-ELEHO,Male,1,No,No,8,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,81.25,585.95,Yes +0103-CSITQ,Female,0,Yes,No,57,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),109.4,6252.7,No +3506-LCJDC,Male,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),19.95,19.95,Yes +8671-KKKOS,Female,0,Yes,No,46,No,No phone service,DSL,Yes,Yes,No,No,Yes,No,Month-to-month,No,Electronic check,45.55,2062.15,No +7305-ZWMAJ,Male,0,Yes,No,30,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),20.7,587.1,No +9518-XXBXE,Male,1,Yes,No,10,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,No,Electronic check,75.3,720.45,No +3934-HXCFZ,Male,0,Yes,No,23,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,99.25,2186.4,Yes +6578-KRMAW,Male,0,No,No,32,Yes,No,Fiber optic,Yes,Yes,Yes,No,No,Yes,Month-to-month,Yes,Credit card (automatic),93.4,2979.3,No +4860-IJUDE,Male,0,No,No,13,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),73.75,956.65,No +7666-WKRON,Female,0,No,No,39,Yes,No,Fiber optic,No,No,Yes,Yes,No,No,Two year,Yes,Electronic check,80.45,3201.55,Yes +9688-YGXVR,Female,0,No,No,44,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Credit card (automatic),88.15,3973.2,No +0423-UDIJQ,Male,1,No,No,9,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,No,Mailed check,49.2,447.9,No +1945-XISKS,Female,0,Yes,No,67,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.65,1335.2,No +4910-AQFFX,Male,0,Yes,Yes,9,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),79.35,661.25,Yes +2154-KVJFF,Female,0,No,No,15,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,79.75,1111.85,Yes +5360-LJCNJ,Female,0,Yes,No,71,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),105.15,7555,No +2607-FBDFF,Male,0,No,No,1,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,No,Credit card (automatic),49,49,No +9647-ERGBE,Female,0,Yes,Yes,30,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.05,3046.15,Yes +3428-XZMAZ,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.35,69.35,Yes +1100-DDVRV,Male,0,Yes,No,17,No,No phone service,DSL,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Mailed check,49.8,836.35,No +0378-TOVMS,Female,0,No,No,3,Yes,No,Fiber optic,No,No,No,Yes,No,Yes,Month-to-month,No,Electronic check,85.8,272.2,Yes +4355-HBJHH,Male,0,Yes,Yes,67,Yes,Yes,DSL,Yes,No,Yes,No,Yes,Yes,Two year,Yes,Electronic check,79.7,5293.4,Yes +6728-WYQBC,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),20.95,20.95,No +9058-CBREO,Female,1,No,No,1,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,50.55,50.55,Yes +9029-FEGVJ,Female,1,Yes,No,32,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,No,Mailed check,79.3,2570,No +7216-KAOID,Male,0,Yes,Yes,41,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),19.5,798.2,No +0318-QUUOB,Male,0,Yes,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,80.55,80.55,Yes +6145-NNPNO,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),44.15,44.15,No +5520-FVEWJ,Female,0,Yes,Yes,12,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,84.5,916.9,Yes +5339-TJFEK,Male,0,Yes,Yes,62,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,105.5,6487.2,No +5572-ZDXHY,Female,0,No,No,22,Yes,No,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Mailed check,84.3,1855.65,Yes +2074-GUHPQ,Female,0,No,Yes,17,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,No,No,Month-to-month,Yes,Credit card (automatic),92.7,1556.85,No +4625-XMOYM,Female,0,Yes,Yes,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),26.25,1988.05,No +5827-MWCZK,Male,0,Yes,Yes,56,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,No,Month-to-month,Yes,Credit card (automatic),96.95,5432.2,No +1385-TQOZW,Female,0,No,No,9,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),20.45,147.55,No +5914-XRFQB,Male,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),115.8,8424.9,No +4329-YPDDQ,Male,0,No,No,20,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),108.2,2203.7,No +4804-NCPET,Male,0,Yes,Yes,19,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.2,387.4,No +3750-CKVKH,Male,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,67.75,116.65,Yes +5944-UGLLK,Male,0,No,No,53,No,No phone service,DSL,No,No,Yes,Yes,Yes,Yes,One year,No,Credit card (automatic),54.9,3045.75,No +8063-GBATB,Female,1,No,No,27,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,85.25,2287.25,Yes +7787-BNTZM,Male,0,No,No,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),20.15,130.5,No +2252-ISRNH,Male,0,Yes,Yes,9,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,One year,Yes,Electronic check,90.35,767.9,No +9415-TPKRV,Female,0,Yes,Yes,8,Yes,Yes,DSL,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,55.75,446.8,No +5322-TEUJK,Female,0,Yes,Yes,71,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),114.6,8100.25,No +4547-KQRTM,Female,0,No,No,10,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),80.05,830.7,Yes +4877-EVATK,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20,20,Yes +1866-DIOQZ,Female,0,Yes,No,71,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,One year,No,Bank transfer (automatic),66.8,4689.15,No +8375-KVTHK,Male,0,Yes,No,68,Yes,No,Fiber optic,No,Yes,No,Yes,Yes,Yes,One year,Yes,Electronic check,100.3,6754.35,No +2697-NQBPF,Male,0,No,No,34,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,105.35,3540.65,No +3709-OIJEA,Male,0,No,No,26,Yes,No,Fiber optic,No,Yes,Yes,Yes,No,No,One year,Yes,Electronic check,85.2,2184.6,No +7639-SUPCW,Female,0,No,No,22,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),48.8,1054.6,Yes +1386-ZIKUV,Male,0,No,No,7,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,18.95,130.55,No +0599-XNYDO,Female,0,Yes,No,20,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),69.8,1540.35,No +6377-WHAOX,Female,0,Yes,No,60,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,106.15,6411.25,No +6855-VLGOS,Male,0,Yes,Yes,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Electronic check,20.55,1432.55,No +8999-XXGNS,Female,1,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),105.75,7629.85,No +8746-OQQRW,Male,0,No,No,4,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,25.25,101.9,No +3181-MIZBN,Male,0,Yes,Yes,16,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,19.75,313.4,No +0471-ARVMX,Female,1,Yes,No,62,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,104.85,6312.9,No +7766-CLTIC,Female,0,No,No,10,Yes,No,DSL,No,No,No,Yes,No,Yes,Month-to-month,Yes,Mailed check,60.95,629.55,No +5650-YLIBA,Male,0,No,No,31,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,81.15,2640.55,No +0825-CPPQH,Female,0,Yes,No,71,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.1,1372.45,No +9084-OAYKL,Male,0,No,No,58,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.8,1212.25,No +6122-LJADA,Male,0,Yes,Yes,70,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),90.15,6237.05,No +2400-XIWIO,Female,0,Yes,No,71,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Electronic check,90.1,6310.9,No +7524-VRLPL,Male,1,No,No,69,Yes,Yes,DSL,Yes,No,Yes,Yes,No,Yes,Two year,No,Credit card (automatic),74.1,5031,No +1069-XAIEM,Female,1,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,85.05,85.05,Yes +7569-NMZYQ,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),118.75,8672.45,No +5201-USSQZ,Female,0,Yes,No,26,Yes,No,Fiber optic,No,No,No,Yes,No,Yes,Month-to-month,No,Credit card (automatic),85.9,2196.45,No +2105-PHWON,Female,0,Yes,No,33,Yes,Yes,Fiber optic,No,No,Yes,Yes,No,Yes,Month-to-month,Yes,Credit card (automatic),95,3008.15,No +1494-EJZDW,Female,0,Yes,Yes,10,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.15,220.8,No +4884-TVUQF,Female,1,No,No,57,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,No,Yes,Two year,No,Credit card (automatic),101.3,5779.6,No +8003-EWNDZ,Female,0,No,No,10,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,21.2,222.65,No +1897-RCFUM,Female,0,Yes,Yes,39,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,24.2,914.6,No +9256-JTBNZ,Female,0,No,No,11,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),20.3,246.3,No +4658-HCOHW,Female,0,Yes,Yes,21,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,102.8,2110.15,Yes +2211-RMNHO,Female,0,Yes,Yes,68,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),85.3,5560,No +2432-TFSMK,Male,0,No,No,18,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,One year,Yes,Credit card (automatic),89.6,1633,No +3440-JPSCL,Female,0,No,No,6,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Mailed check,99.95,547.65,Yes +4929-ROART,Male,0,No,No,18,Yes,Yes,DSL,Yes,No,No,No,No,No,Month-to-month,No,Mailed check,56.25,969.85,No +1834-ABKHQ,Female,0,Yes,Yes,52,Yes,No,DSL,No,No,Yes,No,No,No,One year,Yes,Bank transfer (automatic),50.95,2610.65,No +1741-WTPON,Male,0,Yes,Yes,56,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Mailed check,115.85,6567.9,No +3932-IJWDZ,Male,0,No,No,45,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),103.65,4747.85,No +1240-HCBOH,Female,0,No,No,67,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,26.1,1759.55,No +3594-KADLU,Male,0,Yes,No,3,No,No phone service,DSL,Yes,No,No,Yes,No,No,Month-to-month,No,Mailed check,35.1,101.1,No +8065-BVEPF,Male,1,No,No,65,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),99.1,6496.15,No +3796-ENZGF,Male,0,Yes,No,63,Yes,Yes,DSL,No,Yes,No,Yes,No,Yes,Two year,No,Mailed check,67.25,4234.15,No +1734-ZMNTZ,Female,0,Yes,Yes,11,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25,300.7,No +2853-CWQFQ,Male,0,No,Yes,1,Yes,No,DSL,No,No,No,Yes,No,Yes,Month-to-month,Yes,Mailed check,59.55,59.55,No +0813-TAXXS,Male,0,No,No,55,Yes,Yes,DSL,No,No,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),77.8,4323.35,No +2519-TWKFS,Male,0,Yes,Yes,25,Yes,Yes,DSL,No,No,No,Yes,No,No,One year,Yes,Mailed check,55.1,1466.1,No +2889-FPWRM,Male,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),117.8,8684.8,Yes +0626-QXNGV,Female,0,Yes,No,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),24.15,1776.45,No +6723-CEGQI,Female,0,No,Yes,65,No,No phone service,DSL,No,Yes,No,Yes,Yes,No,Two year,No,Mailed check,45.25,2933.95,No +6987-XQSJT,Female,1,No,No,54,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,79.5,4370.25,Yes +4732-RRJZC,Male,0,Yes,Yes,7,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.25,144.35,No +9499-XPZXM,Female,0,Yes,No,72,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,Two year,No,Bank transfer (automatic),64.75,4804.75,No +4338-EYCER,Male,0,Yes,No,21,Yes,No,DSL,No,No,No,No,Yes,No,Month-to-month,No,Bank transfer (automatic),54.6,1125.2,No +3007-FDPEA,Female,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Bank transfer (automatic),20.7,39.85,No +6350-XFYGW,Male,1,No,No,4,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.75,422.4,No +4290-BSXUX,Male,0,Yes,No,3,Yes,Yes,Fiber optic,No,No,No,Yes,No,No,Month-to-month,Yes,Bank transfer (automatic),79.65,251.75,Yes +8513-OLYGY,Male,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),115.8,8332.15,No +0311-QYWSS,Female,0,No,No,6,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,49.45,314.6,No +8705-DWKTI,Male,0,No,No,52,Yes,No,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Credit card (automatic),83.8,4331.4,No +8755-IWJHN,Male,1,Yes,No,69,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),95.35,6382,No +0325-XBFAC,Male,0,No,No,8,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.7,740.3,Yes +4480-QQRHC,Female,1,No,No,8,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),74.05,600.15,No +0929-PECLO,Female,1,No,No,63,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),89.6,5538.8,No +3680-CTHUH,Male,0,No,No,60,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),116.6,7049.5,No +1202-KKGFU,Female,0,Yes,No,12,Yes,No,DSL,Yes,No,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),54.2,690.5,No +6112-KTHFQ,Female,0,No,No,13,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.3,279.3,No +1852-XEMDW,Male,0,No,No,22,Yes,Yes,DSL,Yes,Yes,Yes,No,No,No,Month-to-month,No,Mailed check,65.05,1427.55,No +2462-XIIJB,Male,0,No,No,5,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,92.5,452.7,Yes +4760-XOHVN,Female,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.45,19.45,Yes +1820-DJFPH,Female,0,Yes,Yes,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),24.05,1709.15,No +9426-SXNHE,Female,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),18.75,53.15,No +9068-FHQHD,Female,0,Yes,Yes,40,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.15,777.35,No +1269-FOYWN,Male,0,Yes,Yes,44,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),20,860.85,No +9470-YFUYI,Male,1,Yes,No,71,Yes,No,DSL,Yes,Yes,No,Yes,Yes,No,One year,Yes,Bank transfer (automatic),71,5012.1,No +7817-BOQPW,Female,0,No,No,2,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.55,166.3,Yes +7402-EYFXX,Male,1,No,No,26,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,93.6,2404.1,No +1853-UDXBW,Male,0,Yes,Yes,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70,70,Yes +9895-VFOXH,Female,0,No,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,24.4,24.4,No +5458-CQJTA,Male,0,Yes,Yes,65,Yes,No,DSL,Yes,No,No,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),74.8,4820.15,Yes +1230-QAJDW,Male,0,No,No,3,Yes,Yes,DSL,No,No,No,Yes,Yes,No,Month-to-month,Yes,Mailed check,65.25,209.9,No +5701-ZIKJE,Male,0,No,No,13,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Mailed check,50.55,610.75,No +5219-YIPTK,Female,0,Yes,No,33,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,104.4,3409.6,Yes +5032-MIYKT,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,70.7,70.7,No +7396-VJUZB,Male,0,Yes,Yes,4,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,45.25,155.35,No +9717-QEBGU,Male,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.3,144,No +5172-RKOCB,Male,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),108.95,7875,No +6509-TSGWN,Female,0,Yes,Yes,37,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,26.45,911.6,No +3540-RZJYU,Female,0,No,No,15,Yes,No,Fiber optic,Yes,No,No,No,Yes,No,Month-to-month,No,Electronic check,86.2,1270.2,Yes +3178-CIFOT,Female,0,No,No,23,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Credit card (automatic),19.65,478.1,No +2091-MJTFX,Female,0,Yes,Yes,30,No,No phone service,DSL,No,No,No,Yes,Yes,Yes,Month-to-month,No,Credit card (automatic),51.2,1561.5,Yes +4530-NDRKU,Female,0,Yes,Yes,42,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Electronic check,19.05,761.85,No +5985-TBABQ,Female,0,No,No,32,Yes,Yes,DSL,Yes,No,No,No,Yes,Yes,One year,No,Mailed check,74.75,2282.95,No +9800-ONTFE,Female,0,Yes,Yes,22,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),75.8,1615.1,No +6743-HHQPF,Male,0,Yes,No,42,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),25.1,1097.15,No +8455-HIRAQ,Female,0,No,No,8,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,44.45,369.3,No +6616-AALSR,Female,0,Yes,Yes,65,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,Two year,Yes,Credit card (automatic),104.3,6725.3,No +0883-EIBTI,Female,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.5,31.55,Yes +9415-ZNBSX,Female,0,Yes,Yes,70,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),89,6293.2,No +4018-KJYUY,Male,0,No,Yes,22,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),20.15,432.5,No +0722-TROQR,Female,1,No,No,4,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.9,321.75,Yes +7571-YXDAD,Female,0,No,No,2,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Credit card (automatic),74.9,147.15,Yes +3884-UEBXB,Female,0,Yes,Yes,67,No,No phone service,DSL,Yes,Yes,No,No,No,No,Two year,No,Bank transfer (automatic),36.15,2434.45,No +8780-RSYYU,Female,0,No,No,25,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),19.2,532.1,No +5537-UXXVS,Female,0,Yes,No,20,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),19.25,375.25,No +1791-PQHBB,Female,0,No,Yes,2,Yes,No,DSL,Yes,No,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),61.2,125.95,No +8701-DGLVH,Male,0,No,No,51,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.45,1042.65,No +8741-LQOBK,Female,0,Yes,Yes,46,No,No phone service,DSL,Yes,Yes,No,No,No,No,Month-to-month,No,Bank transfer (automatic),35.05,1620.25,No +3393-FMZPV,Female,0,No,No,25,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.25,2387.75,Yes +8082-GHXOP,Male,0,No,Yes,13,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,44,659.35,No +6402-ZFPPI,Female,1,No,No,25,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,Yes,Month-to-month,Yes,Mailed check,102.8,2660.2,Yes +0980-FEXWF,Male,0,Yes,Yes,26,Yes,No,DSL,No,No,Yes,No,No,No,One year,No,Mailed check,50.35,1285.8,No +7486-KSRVI,Male,0,No,No,43,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,One year,Yes,Electronic check,100,4211.55,Yes +3011-WQKSZ,Male,0,No,Yes,19,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,20,377.55,No +8443-WVPSS,Male,0,Yes,No,10,Yes,No,Fiber optic,No,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,99.85,990.9,Yes +3006-XIMLN,Female,0,No,Yes,2,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),94.2,193.8,Yes +8218-FFJDS,Female,0,Yes,No,72,Yes,Yes,DSL,Yes,Yes,No,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),86.4,6058.95,No +1986-PHGZF,Male,1,No,No,18,Yes,Yes,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),58.4,964.9,No +9965-YOKZB,Male,1,No,No,9,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,83.85,790.15,Yes +0504-HHAPI,Female,1,No,No,27,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,No,Credit card (automatic),88.3,2467.75,Yes +9360-OMDZZ,Male,0,No,No,24,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.1,2322.85,No +6305-YLBMM,Male,0,No,No,69,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),104.05,7262,Yes +0345-XMMUG,Female,0,Yes,No,46,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),108.9,4854.3,No +8024-XNAFQ,Female,1,No,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,Yes,Two year,Yes,Bank transfer (automatic),107.4,7748.75,No +3647-GMGDH,Male,0,Yes,No,22,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),94.7,1914.9,Yes +2988-GBIVW,Female,1,Yes,No,70,Yes,Yes,Fiber optic,Yes,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,90.85,6470.1,No +2832-SCUCO,Female,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,19.9,57.4,No +7036-ZZKBD,Male,0,Yes,No,31,Yes,No,DSL,No,No,Yes,Yes,No,Yes,Month-to-month,Yes,Credit card (automatic),66.4,2019.8,No +3791-LGQCY,Female,1,Yes,No,56,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),100.65,5688.05,Yes +0265-PSUAE,Female,0,Yes,Yes,16,Yes,No,Fiber optic,Yes,No,Yes,No,Yes,Yes,Month-to-month,No,Bank transfer (automatic),100.7,1522.7,No +0463-TXOAK,Male,0,No,Yes,52,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.6,1334.5,No +0594-UFTUL,Male,0,Yes,Yes,13,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.85,252,No +9509-MPYOD,Female,0,No,No,35,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.75,700.45,No +9128-CPXKI,Female,0,No,No,59,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Two year,No,Electronic check,95.8,5655.45,No +0129-KPTWJ,Male,0,Yes,No,72,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.65,6747.35,No +8166-ZZTFS,Female,1,Yes,No,66,Yes,Yes,DSL,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),80.55,5265.1,Yes +5855-EIBDE,Female,0,Yes,No,49,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,Yes,Two year,No,Credit card (automatic),106.65,5174.35,No +5365-LLFYV,Female,0,No,No,2,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,45.85,105.6,No +5956-YHHRX,Male,1,No,No,21,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,104.35,2271.85,No +6008-NAIXK,Male,1,No,No,54,No,No phone service,DSL,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,55.45,2966.95,No +2956-GGUCQ,Male,1,Yes,No,24,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,78.85,1772.25,Yes +1928-BXYIV,Male,0,No,No,1,Yes,Yes,DSL,Yes,Yes,No,No,No,No,Month-to-month,No,Electronic check,61.15,61.15,No +5760-FXFVO,Male,0,No,No,6,Yes,No,Fiber optic,Yes,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,78.95,494.95,No +6595-COKXZ,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,44.45,44.45,Yes +0961-ZWLVI,Male,0,No,Yes,49,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),109.2,5290.45,No +5181-OABFK,Female,0,Yes,Yes,56,Yes,No,DSL,Yes,Yes,Yes,No,No,No,Two year,Yes,Credit card (automatic),61.3,3346.8,No +4007-NHVHI,Female,1,No,No,56,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,96.85,5219.65,No +7816-VGHTO,Female,0,Yes,Yes,6,No,No phone service,DSL,No,Yes,Yes,Yes,No,No,Two year,No,Mailed check,40.55,217.5,No +5871-DGTXZ,Male,0,No,No,32,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.8,607.7,No +7550-WIQVA,Male,0,Yes,Yes,50,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,108.25,5431.4,No +7544-ZVIKX,Male,0,Yes,Yes,58,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),105.05,6004.85,No +0016-QLJIS,Female,0,Yes,Yes,65,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Mailed check,90.45,5957.9,No +7508-DQAKK,Female,0,No,No,64,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),86.4,5442.05,No +5176-OLSKT,Female,0,Yes,No,66,Yes,Yes,DSL,Yes,Yes,Yes,No,No,No,Two year,No,Bank transfer (automatic),66.9,4370.25,No +9356-AXGMP,Male,0,Yes,No,38,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,110.7,4428.6,No +3556-BVQGL,Female,0,Yes,No,20,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,20,416.45,No +0362-ZBZWJ,Male,0,No,No,36,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,84.9,3067.2,Yes +8979-CAMGB,Male,1,No,No,64,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,One year,No,Electronic check,102.1,6688.1,No +4211-MMAZN,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.25,20.25,Yes +7581-EBBOU,Female,0,No,No,60,Yes,No,DSL,No,Yes,Yes,Yes,Yes,No,One year,Yes,Credit card (automatic),70.15,4224.7,No +4274-OWWYO,Male,0,No,No,1,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,74.35,74.35,Yes +5073-RZGBK,Female,0,Yes,Yes,50,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,One year,Yes,Bank transfer (automatic),80.05,4042.2,No +1541-ETJZO,Male,0,No,No,1,Yes,Yes,DSL,No,No,Yes,Yes,No,No,Month-to-month,No,Mailed check,62.05,62.05,Yes +2192-CKRLV,Female,0,Yes,No,72,No,No phone service,DSL,Yes,Yes,Yes,No,No,Yes,Two year,Yes,Electronic check,49.2,3580.95,No +3154-HMWUU,Male,0,Yes,No,60,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),20.5,1198.8,No +6119-SPUDB,Male,0,No,No,46,No,No phone service,DSL,Yes,No,Yes,Yes,No,No,Two year,No,Mailed check,38.25,1755.35,No +6522-OIQSX,Female,0,Yes,Yes,69,No,No phone service,DSL,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Credit card (automatic),54.95,3772.5,No +7813-ZGGAW,Male,1,No,No,31,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,No,Month-to-month,Yes,Bank transfer (automatic),96.6,2877.95,No +8748-HFWBO,Male,0,Yes,Yes,19,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.9,357.7,No +1052-QJIBV,Female,0,Yes,Yes,71,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.9,1397.3,No +1319-YLZJG,Male,0,Yes,No,12,Yes,No,Fiber optic,Yes,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,84.6,959.9,No +4106-HADHQ,Male,0,Yes,Yes,39,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,One year,No,Credit card (automatic),80,3182.95,Yes +0723-FDLAY,Male,0,No,No,44,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),85.25,3704.15,No +3050-RLLXC,Female,0,Yes,Yes,56,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,No,Credit card (automatic),81.25,4620.4,No +9298-WGMRW,Female,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),115.5,8312.75,No +2369-UAPKZ,Male,0,No,No,5,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,No,Mailed check,104.1,541.9,Yes +3088-LHEFH,Female,0,No,No,11,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),79,929.3,No +2778-OCLGR,Male,1,Yes,No,24,No,No phone service,DSL,Yes,No,No,No,No,Yes,Month-to-month,No,Bank transfer (automatic),39.1,971.3,Yes +6583-KQJLK,Female,1,Yes,No,15,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.65,1285.05,No +8544-JNBOX,Male,0,No,No,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,20.8,1521.2,No +6681-ZSEXG,Male,0,Yes,No,56,Yes,Yes,DSL,No,Yes,Yes,No,No,No,Two year,No,Credit card (automatic),59.5,3389.25,No +6139-ZZRBQ,Male,1,No,No,64,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),20.05,1198.05,No +6116-RFVHN,Female,0,Yes,No,34,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.45,3414.65,No +0637-KVDLV,Male,0,No,No,2,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,76.5,162.45,Yes +8884-FEEWR,Male,0,No,No,35,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),20.6,754,No +3125-RAHBV,Male,0,No,No,22,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),20.3,467.15,No +6633-MPWBS,Male,0,No,No,5,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,49.2,216.9,Yes +0373-AIVNJ,Male,0,No,No,9,No,No phone service,DSL,Yes,Yes,Yes,No,No,No,One year,No,Mailed check,39.55,373,No +8785-EPNCG,Male,0,No,No,11,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),23.15,245.2,Yes +1682-VCOIO,Male,0,No,No,23,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.45,481.1,No +5729-KLZAR,Female,0,Yes,Yes,4,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,80.85,302.75,Yes +2072-ZVJJX,Male,0,Yes,No,68,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),25.25,1728.2,No +8849-AYPTR,Male,0,Yes,No,33,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,91.25,2964.05,No +9518-IMLHK,Male,0,No,No,31,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,No,Month-to-month,Yes,Bank transfer (automatic),72.45,2156.25,No +1582-RAFML,Male,0,No,No,1,Yes,Yes,DSL,No,Yes,No,Yes,No,No,Month-to-month,No,Mailed check,60.1,60.1,Yes +3646-ITDGM,Female,0,No,No,56,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.7,1051.9,No +8740-CRYFY,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,78.95,78.95,Yes +3569-VLDHH,Male,0,Yes,Yes,66,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,No,One year,Yes,Electronic check,75.1,5013,No +8224-KDLKN,Male,0,Yes,Yes,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),25,1738.9,No +7594-LZNWR,Male,1,No,No,34,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Credit card (automatic),69.15,2275.1,No +4001-TSBTV,Female,0,Yes,Yes,58,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,91.55,5511.65,No +2962-XPMCQ,Male,0,No,No,2,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,45.15,98.5,Yes +8727-XDPUD,Male,0,No,No,37,No,No phone service,DSL,No,No,No,No,Yes,No,Two year,No,Credit card (automatic),35.8,1316.9,No +1043-UXOVO,Female,0,No,No,71,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),113.15,7993.3,No +1064-FBXNK,Male,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.85,19.85,No +3996-ZNWYK,Male,1,Yes,Yes,71,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.8,1388.45,No +2878-DHMIN,Male,0,Yes,Yes,35,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Electronic check,19.9,666,No +7762-ONLJY,Female,0,Yes,Yes,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.7,94.45,No +1678-FYZOW,Female,0,No,No,3,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,79.4,244.65,Yes +5795-BKOYE,Female,0,Yes,Yes,69,Yes,No,DSL,No,Yes,Yes,Yes,No,No,One year,No,Bank transfer (automatic),59.1,4134.7,No +8627-EHGIP,Male,0,No,No,44,No,No phone service,DSL,No,Yes,Yes,No,Yes,Yes,One year,Yes,Mailed check,53.95,2375.4,Yes +7402-PWYJJ,Female,0,Yes,No,53,Yes,Yes,Fiber optic,No,No,No,Yes,No,Yes,One year,Yes,Electronic check,91.15,4862.5,No +5480-TBGPH,Female,0,Yes,No,24,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),99.3,2431.35,Yes +0018-NYROU,Female,0,Yes,No,5,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,68.95,351.5,No +7501-VTYLJ,Female,0,No,Yes,2,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,No,Mailed check,51.55,106.2,No +7608-RGIRO,Male,0,No,Yes,62,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,24.4,1413,No +0480-BIXDE,Female,0,Yes,No,19,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,96.8,1743.05,No +5895-QSXOD,Male,0,No,No,9,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Mailed check,70.05,657.5,No +9814-AOUDH,Male,0,No,No,53,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.5,1050.5,No +6175-IRFIT,Male,0,No,No,5,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Mailed check,78.75,426.35,No +8760-ZRHKE,Female,1,Yes,Yes,71,Yes,Yes,DSL,Yes,Yes,No,No,Yes,No,One year,No,Electronic check,69.2,4982.5,No +1622-HSHSF,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.55,19.55,No +8854-CCVSQ,Male,0,No,No,18,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,80.65,1451.9,Yes +6749-UTDVX,Male,0,No,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Electronic check,103.65,7634.8,No +5542-DHSXL,Female,0,Yes,No,4,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,No,Mailed check,54.7,235.05,No +9102-OXKFY,Male,0,No,No,59,Yes,Yes,DSL,No,No,Yes,No,No,No,Two year,No,Credit card (automatic),54.15,3116.15,No +0511-JTEOY,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Mailed check,71.1,71.1,Yes +5216-WASFJ,Female,1,Yes,No,31,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,84.85,2633.4,No +7808-DVWEP,Male,0,Yes,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),20,49.65,No +7067-KSAZT,Female,1,Yes,No,65,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,106.25,6979.8,Yes +2284-VFLKH,Male,0,Yes,No,49,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),99.25,4920.8,No +0366-NQSHS,Male,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.35,46.35,No +6532-YLWSI,Female,0,Yes,No,53,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),20.8,1021.8,Yes +3807-BPOMJ,Female,0,Yes,No,55,Yes,No,Fiber optic,Yes,No,No,No,Yes,Yes,One year,Yes,Electronic check,94.75,5276.1,No +3892-NXAZG,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),114.05,8289.2,No +4948-WBBKL,Female,1,No,No,36,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),74.9,2659.45,No +4182-BGSIQ,Female,0,Yes,Yes,10,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Bank transfer (automatic),19.8,196.75,No +9300-AGZNL,Male,1,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94,94,Yes +0988-AADSA,Female,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,No,Bank transfer (automatic),80.85,5824.75,No +9972-NKTFD,Female,0,No,No,28,Yes,No,DSL,No,Yes,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),54.65,1517.5,No +3717-LNXKW,Male,0,Yes,No,38,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,No,Month-to-month,No,Bank transfer (automatic),91.7,3479.05,No +5734-EJKXG,Female,0,No,No,61,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,118.6,7365.7,No +2207-RYYRL,Male,0,Yes,Yes,52,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,24.55,1331.05,No +6729-FZWSY,Male,0,No,No,67,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,19.45,1195.95,No +9695-IDRZR,Female,0,No,Yes,34,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),116.15,3946.9,No +8144-DGHXP,Female,0,No,No,54,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Electronic check,80.6,4299.95,No +7814-LEEVE,Female,0,Yes,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Bank transfer (automatic),20.3,20.3,No +1112-CUNAO,Female,1,No,No,15,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,No,Electronic check,89.85,1424.95,Yes +5175-AOBHI,Female,0,No,No,4,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,46,193.6,Yes +5174-RNGBH,Female,0,No,No,9,Yes,No,DSL,No,Yes,No,Yes,Yes,No,Month-to-month,No,Mailed check,66.25,620.55,Yes +8631-WUXGY,Female,0,No,Yes,46,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.8,4391.25,No +7270-BDIOA,Female,0,No,No,22,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,90,1993.8,Yes +9565-JSNFM,Male,0,No,No,38,Yes,No,Fiber optic,No,No,No,No,No,No,One year,Yes,Bank transfer (automatic),70.45,2597.6,Yes +5906-DVAPM,Female,0,Yes,Yes,55,Yes,Yes,DSL,Yes,Yes,No,Yes,Yes,No,One year,Yes,Credit card (automatic),75,4213.9,No +6654-QGBZZ,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.9,19.9,No +8348-JLBUG,Male,1,Yes,No,64,Yes,No,Fiber optic,Yes,No,Yes,No,No,No,One year,No,Credit card (automatic),80.3,5017.7,No +0607-DAAHE,Male,0,No,Yes,53,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.75,1052.35,Yes +5641-DMBFJ,Female,0,Yes,No,58,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,84.3,4916.4,No +9200-NLNPD,Male,0,Yes,No,56,No,No phone service,DSL,No,No,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),54.05,2959.8,No +2664-XJZNO,Male,0,Yes,Yes,72,Yes,No,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),104.9,7559.55,No +9732-KPKBW,Male,0,No,No,1,Yes,No,DSL,Yes,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,53.95,53.95,Yes +3339-EAQNV,Male,1,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,One year,Yes,Credit card (automatic),97.25,7133.1,No +0921-OHLVP,Male,0,No,No,22,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,83.05,1799.3,No +3389-YGYAI,Female,1,No,No,8,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,105.5,829.55,Yes +9560-ARGQJ,Female,0,No,Yes,16,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,81,1312.15,Yes +8350-NYMVI,Female,0,No,No,39,No,No phone service,DSL,No,Yes,Yes,Yes,No,No,Month-to-month,No,Bank transfer (automatic),41.1,1597.05,No +1600-DILPE,Female,0,No,No,12,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),45,524.35,No +0536-ESJEP,Male,0,Yes,No,54,Yes,No,DSL,Yes,Yes,No,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),74.55,4191.45,No +4654-GGUII,Female,0,No,No,18,No,No phone service,DSL,Yes,Yes,No,Yes,No,No,One year,Yes,Mailed check,40.2,711.95,No +6478-HRRCZ,Male,0,Yes,No,32,Yes,No,DSL,Yes,Yes,No,Yes,No,Yes,One year,No,Mailed check,70.5,2201.75,No +8510-BBWMU,Female,0,No,No,41,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,19.75,806.95,No +6857-TKDJV,Male,0,Yes,Yes,67,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),24.65,1620.45,No +2360-RDGRO,Male,0,Yes,No,65,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,104.25,6812.95,No +0584-BJQGZ,Female,0,No,No,25,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,No,Month-to-month,Yes,Bank transfer (automatic),78.35,1837.9,No +5134-IKDAY,Female,0,Yes,Yes,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.8,69.8,Yes +1360-XFJMR,Female,0,Yes,No,67,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),109.7,7344.45,No +3070-DVEYC,Male,1,No,No,7,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Mailed check,73.75,545.15,Yes +5730-RIITO,Female,1,No,No,43,No,No phone service,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),33.45,1500.25,No +9058-MJLZC,Female,0,No,No,24,Yes,No,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.6,2283.15,No +5707-ORNDZ,Male,1,No,No,9,Yes,Yes,DSL,Yes,No,No,No,No,No,Month-to-month,No,Electronic check,54.55,494.05,Yes +0902-XKXPN,Male,0,Yes,Yes,69,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.2,1376.5,No +5177-RVZNU,Female,0,No,Yes,37,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),20.3,755.4,No +0056-EPFBG,Male,0,Yes,Yes,20,No,No phone service,DSL,Yes,No,Yes,Yes,No,No,Two year,Yes,Credit card (automatic),39.4,825.4,No +8993-IZEUX,Male,0,No,No,7,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),69.15,488.65,No +8696-JKZNU,Female,1,No,No,37,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,76.25,2841.55,Yes +5380-AFSSK,Female,0,No,No,5,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Mailed check,93.9,486.85,Yes +8190-ZTQFB,Male,0,No,No,41,No,No phone service,DSL,No,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,51.35,2075.1,No +0931-MHTEM,Female,0,No,No,54,Yes,No,Fiber optic,Yes,Yes,No,No,Yes,Yes,One year,Yes,Credit card (automatic),100.05,5299.65,No +2055-PDADH,Female,1,No,No,3,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.4,204.7,Yes +7515-LODFU,Male,1,No,No,69,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.3,1356.3,No +0440-UEDAI,Female,0,No,No,53,Yes,No,Fiber optic,No,Yes,Yes,Yes,No,Yes,One year,Yes,Credit card (automatic),94.45,5042.75,No +1337-BOZWO,Male,0,Yes,Yes,18,No,No phone service,DSL,No,Yes,Yes,No,Yes,No,One year,No,Credit card (automatic),46.4,812.4,No +0868-VJRDR,Male,0,Yes,No,64,Yes,No,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),104.05,6605.55,No +8714-EUHJO,Female,0,Yes,Yes,31,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,91.15,2995.45,Yes +6344-SFJVH,Female,0,No,No,20,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Credit card (automatic),24.9,505.95,No +3950-VPYJB,Male,0,Yes,Yes,57,Yes,No,DSL,Yes,Yes,No,Yes,No,No,One year,No,Mailed check,59.6,3509.4,No +8041-TMEID,Male,1,Yes,No,63,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Two year,No,Credit card (automatic),108.5,6991.9,No +7321-ZNSLA,Male,0,Yes,Yes,13,No,No phone service,DSL,Yes,Yes,No,Yes,No,No,Two year,No,Mailed check,40.55,590.35,No +6941-KXRRV,Female,1,Yes,No,48,Yes,No,DSL,No,Yes,No,No,No,Yes,One year,Yes,Bank transfer (automatic),58.95,2789.7,No +3721-CNEYS,Female,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.95,137.95,Yes +8727-JQFHV,Male,0,Yes,Yes,57,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.75,1123.15,No +9475-NNDGC,Male,0,Yes,No,71,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),113.15,7953.25,No +1355-KUSBG,Female,0,Yes,Yes,7,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,48.8,349.8,No +3688-FTHLT,Female,0,No,No,16,Yes,Yes,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),63.05,1067.05,No +0899-LIIBW,Male,0,Yes,No,34,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,No,Electronic check,100.85,3527.3,No +2568-OIADY,Female,0,Yes,No,37,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.5,3762,Yes +1384-RCUXW,Male,0,No,No,16,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,80.55,1248.9,No +5825-XJOCM,Male,0,No,Yes,48,Yes,Yes,DSL,Yes,Yes,Yes,No,No,No,One year,Yes,Bank transfer (automatic),64.4,3035.35,No +6848-YLDFR,Male,0,Yes,Yes,58,Yes,No,DSL,No,Yes,No,Yes,Yes,Yes,One year,Yes,Credit card (automatic),75.2,4300.8,No +8125-QPFJD,Female,0,Yes,No,72,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),84.9,6065.3,No +2320-YKQBO,Female,0,No,No,7,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.3,144.95,No +1193-RTSLK,Female,0,No,No,38,Yes,No,Fiber optic,Yes,Yes,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),83.9,3233.6,Yes +2302-ANTDP,Female,1,Yes,No,48,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Month-to-month,No,Electronic check,117.45,5438.9,Yes +5923-GXUOC,Male,0,No,No,10,Yes,No,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,104.4,1081.45,Yes +4973-RLZVI,Female,0,No,No,30,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,No,One year,No,Credit card (automatic),74.65,2308.6,No +7869-ZYDST,Male,0,Yes,No,31,Yes,Yes,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),59.05,1882.8,No +4501-UYKBC,Female,1,No,No,46,Yes,Yes,DSL,No,No,Yes,Yes,No,Yes,One year,Yes,Credit card (automatic),69.1,3255.35,No +1215-EXRMO,Male,0,Yes,No,50,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.55,1067.65,No +2305-MRGLV,Male,0,Yes,No,28,Yes,No,Fiber optic,No,No,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),76.55,2065.4,No +8404-VIOMB,Female,0,No,No,66,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),62.5,4136.4,No +5233-GEEAX,Male,1,No,No,8,No,No phone service,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,29.4,221.9,Yes +2359-KLTEK,Female,0,Yes,Yes,41,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),94.9,3848,No +5304-EFJLP,Male,1,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),111.65,8022.85,No +2673-ZALNP,Female,0,No,No,7,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.9,173.15,No +9184-GALIL,Female,0,Yes,Yes,38,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.45,781.25,No +4393-RYCRE,Male,0,No,No,44,Yes,No,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,106.05,4510.8,No +9746-MDMBK,Male,0,Yes,Yes,47,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),113.45,5317.8,No +3162-ZJZFU,Male,0,Yes,Yes,53,Yes,No,Fiber optic,No,Yes,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,92.55,4779.45,No +8404-GFGCZ,Male,0,Yes,No,4,Yes,Yes,DSL,No,No,Yes,No,Yes,No,Month-to-month,No,Electronic check,65.6,250.1,No +8875-AKBYH,Male,1,No,No,20,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,84.35,1745.2,No +4432-ADRLB,Male,0,No,No,2,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,44.65,74.9,Yes +0533-UCAAU,Male,1,Yes,No,57,Yes,Yes,DSL,No,Yes,Yes,No,Yes,No,One year,Yes,Credit card (automatic),71.1,4140.1,No +1394-SUIUH,Female,1,Yes,No,44,Yes,No,Fiber optic,Yes,Yes,No,Yes,No,No,Month-to-month,Yes,Electronic check,85.15,3670.5,No +3521-MNKLV,Male,0,No,No,24,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Mailed check,49.7,1167.8,No +2533-TIBIX,Male,0,Yes,Yes,15,No,No phone service,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),30.2,469.65,No +8993-PHFWD,Female,0,No,No,3,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,25.25,58.9,Yes +1565-RHDJD,Female,0,No,Yes,4,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,No,Bank transfer (automatic),84.05,333.55,Yes +7137-RYLPP,Male,1,Yes,No,37,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,85.7,3171.15,Yes +3765-JXVKY,Female,0,No,No,1,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,74.7,74.7,Yes +5092-STPKP,Female,0,No,No,24,Yes,No,DSL,Yes,No,No,Yes,No,No,Month-to-month,No,Credit card (automatic),56.35,1381.2,No +7330-WZLNC,Female,0,No,No,5,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,90.8,455.5,Yes +0114-PEGZZ,Female,0,No,No,33,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,No,Electronic check,107.55,3645.5,No +3359-DSRKA,Female,0,Yes,Yes,58,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,19.85,1158.85,No +8639-NHQEI,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,No,Two year,Yes,Bank transfer (automatic),95.9,6954.15,No +7161-DFHUF,Female,0,Yes,No,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,23.85,1672.1,No +3957-LXOLK,Female,1,No,No,28,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,106.15,3152.5,Yes +3720-DBRWL,Male,0,Yes,No,51,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),83.85,4307.1,No +6635-MYYYZ,Female,0,No,No,30,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,One year,No,Bank transfer (automatic),85.35,2530.4,Yes +8565-WUXZU,Male,1,Yes,No,72,Yes,No,Fiber optic,Yes,Yes,No,Yes,No,No,Two year,Yes,Credit card (automatic),84.8,6141.65,No +5281-BUZGT,Male,1,No,No,36,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,90.85,3186.7,Yes +4994-OBRSZ,Male,0,No,Yes,14,Yes,No,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,No,Bank transfer (automatic),76.1,1054.8,No +0562-FGDCR,Female,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,No,Yes,Yes,No,Two year,No,Mailed check,74.55,5430.65,No +2436-QBZFP,Female,0,Yes,Yes,22,No,No phone service,DSL,No,Yes,No,No,Yes,No,Month-to-month,No,Electronic check,39.2,849.9,No +3420-YJLQT,Female,0,No,No,2,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,79.55,151.75,No +6040-CGACY,Female,0,No,No,15,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.6,299.4,No +6582-PLFUU,Male,0,Yes,Yes,51,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.55,1086.75,No +8242-PDSGJ,Male,0,Yes,No,70,No,No phone service,DSL,Yes,No,Yes,Yes,No,No,Two year,Yes,Credit card (automatic),39.15,2692.75,No +0264-CNITK,Female,0,Yes,Yes,71,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.1,1389.6,No +0089-IIQKO,Female,0,Yes,Yes,39,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),99.95,3767.4,No +7839-NUIAA,Female,0,Yes,Yes,61,Yes,Yes,DSL,Yes,Yes,No,No,No,No,Month-to-month,No,Electronic check,59.8,3641.5,No +6075-QMNRR,Female,0,No,No,52,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),49.75,2535.55,No +5378-IKEEG,Female,0,No,No,1,No,No phone service,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,35.75,35.75,Yes +5966-EMAZU,Male,0,Yes,No,64,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Mailed check,108.5,6880.85,No +0440-EKDCF,Male,0,Yes,No,62,Yes,No,DSL,No,Yes,Yes,Yes,No,No,Two year,Yes,Credit card (automatic),60.15,3753.2,No +4774-HHGGS,Male,0,Yes,No,30,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.05,637.55,No +2718-GAXQD,Female,1,Yes,Yes,4,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,46,181.6,Yes +2055-BFOCC,Male,1,Yes,No,63,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),84,5329.55,No +8180-AKMJV,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),44.55,44.55,No +4298-OYIFC,Male,0,Yes,No,15,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,103.45,1539.8,No +5566-SOEZD,Male,0,Yes,Yes,27,Yes,No,Fiber optic,Yes,Yes,No,No,No,No,One year,Yes,Credit card (automatic),80.65,2209.75,No +9842-EFSYY,Female,0,No,Yes,4,No,No phone service,DSL,Yes,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Mailed check,57.2,223.75,No +2272-WUSPA,Female,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Electronic check,110.75,7751.7,No +4584-LBNMK,Male,1,Yes,No,45,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),24.7,1174.35,No +3898-GUYTS,Female,1,No,No,45,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,97.05,4385.05,No +0930-EHUZA,Female,0,No,No,36,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,No,One year,Yes,Mailed check,76.35,2606.35,No +6413-XKKPU,Male,0,Yes,Yes,17,Yes,No,Fiber optic,Yes,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,89.4,1539.45,Yes +9975-SKRNR,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,18.9,18.9,No +3703-KBKZP,Male,1,No,No,16,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),74.45,1261.35,No +1449-XQEMT,Male,0,No,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.8,58.15,Yes +2626-URJFX,Male,0,Yes,Yes,4,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,50.9,225.6,Yes +4973-MGTON,Female,0,Yes,No,71,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),84.4,5969.3,No +3682-YEUWS,Male,0,Yes,Yes,10,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,24.4,253.9,No +1223-UNPKS,Male,0,Yes,Yes,20,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.05,400,No +2612-RRIDN,Male,0,No,No,4,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,81,340.85,Yes +4735-ASGMA,Male,0,No,No,26,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,98.35,2515.3,Yes +3446-QDSZF,Female,0,No,No,4,Yes,No,DSL,No,No,No,No,Yes,No,Month-to-month,No,Credit card (automatic),55.5,227.35,No +3669-LVWZB,Male,0,No,No,5,No,No phone service,DSL,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Mailed check,51,305.95,Yes +6892-EZDTG,Female,0,Yes,No,4,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,91.65,365.4,Yes +5117-IFGPS,Male,1,Yes,No,29,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,84.3,2357.75,No +7379-FNIUJ,Male,0,No,No,2,Yes,No,Fiber optic,Yes,Yes,No,No,Yes,Yes,Month-to-month,No,Electronic check,100.2,198.5,No +1627-AFWVJ,Female,0,No,No,29,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.4,554.25,No +9725-SCPZG,Male,0,No,Yes,1,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,90.85,90.85,Yes +5884-GCYMI,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Mailed check,69.4,69.4,Yes +3217-FZDMN,Female,1,No,No,8,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),94.45,742.95,Yes +4486-EFAEB,Male,0,No,No,13,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,20.4,251.65,No +0060-FUALY,Female,0,Yes,No,59,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,94.75,5597.65,No +7853-GVUDZ,Female,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),20.15,20.15,Yes +7480-QNVZJ,Male,1,No,No,50,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.7,4816.7,Yes +6954-OOYZZ,Male,0,Yes,No,18,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),44.35,768.05,No +7088-FBAWU,Female,0,Yes,Yes,17,Yes,No,DSL,Yes,Yes,No,No,Yes,Yes,Month-to-month,No,Mailed check,74.55,1215.8,No +8313-AFGBW,Male,0,Yes,No,47,Yes,No,DSL,No,Yes,Yes,No,Yes,Yes,Two year,No,Electronic check,73.6,3522.65,No +3943-KDREE,Female,0,No,No,26,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),74.95,1834.95,Yes +9239-ZBZZV,Female,0,No,No,6,No,No phone service,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,47.95,305.1,Yes +3097-IDVPU,Male,0,Yes,Yes,19,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,No,Credit card (automatic),50.1,910.45,No +4398-HSCJH,Female,0,No,No,3,Yes,Yes,DSL,No,No,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,63.6,155.65,Yes +2197-OMWGI,Female,1,Yes,Yes,68,No,No phone service,DSL,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Electronic check,53,3656.25,No +2303-PJYHN,Female,0,Yes,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),19.85,52,No +9795-VOWON,Male,0,No,No,7,No,No phone service,DSL,No,No,No,No,No,No,One year,Yes,Credit card (automatic),24.35,150.85,No +1237-WIYYZ,Female,0,No,No,18,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.55,389.25,No +1987-AUELQ,Female,0,Yes,No,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.05,1873.7,No +7852-LECYP,Male,1,Yes,No,13,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,Yes,Month-to-month,No,Credit card (automatic),93.8,1261,No +4430-UZIPO,Male,0,No,No,3,No,No phone service,DSL,No,Yes,No,Yes,No,No,Month-to-month,Yes,Mailed check,36.85,108.7,Yes +4822-LPTYJ,Male,0,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),103.75,7346.2,No +8165-CBKXO,Male,0,Yes,Yes,66,No,No phone service,DSL,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Credit card (automatic),56.75,3708.4,No +6527-PZFPV,Male,0,Yes,Yes,24,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Credit card (automatic),20.8,469.65,No +4855-SNKMY,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,44.1,44.1,Yes +9593-CVZKR,Female,0,Yes,Yes,56,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,24.45,1385.85,No +8595-SIZNC,Female,1,Yes,No,22,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),25.6,548.8,No +8008-HAWED,Male,0,No,No,14,No,No phone service,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,50.75,712.75,Yes +7124-UGSUR,Female,1,Yes,No,61,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),104.4,6405,Yes +1862-SKORY,Female,1,Yes,No,40,No,No phone service,DSL,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,39.3,1637.4,Yes +5236-XMZJY,Female,0,No,No,42,Yes,No,DSL,Yes,Yes,Yes,No,No,No,Month-to-month,No,Bank transfer (automatic),59.65,2536.55,No +4827-DPADN,Female,0,Yes,Yes,72,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),83.3,6042.7,No +2694-CIUMO,Female,0,No,No,12,Yes,Yes,Fiber optic,No,No,No,Yes,No,No,Month-to-month,Yes,Credit card (automatic),79.55,958.25,No +5846-ABOBJ,Male,0,Yes,No,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),24.45,1730.65,No +1439-LCGVL,Female,0,Yes,No,26,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.2,459.6,No +0909-SDHNU,Female,0,No,Yes,7,No,No phone service,DSL,Yes,No,No,No,No,No,Month-to-month,No,Mailed check,29.8,201.95,No +4647-XXZAM,Female,0,Yes,Yes,6,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,45.5,285.2,No +1502-XFCVR,Female,0,No,No,58,Yes,No,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,106.45,6145.85,Yes +7740-KKCXF,Male,0,Yes,No,51,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),30.05,1529.45,No +5360-XGYAZ,Male,0,Yes,Yes,72,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),65.65,4664.5,No +9692-TUSXH,Female,0,No,No,18,Yes,No,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,96.05,1740.7,Yes +7912-SYRQT,Female,0,No,No,7,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),75.1,552.95,Yes +3557-HTYWR,Female,0,No,No,47,Yes,Yes,DSL,Yes,Yes,No,Yes,No,Yes,Two year,No,Mailed check,74.05,3496.3,No +4816-JBHOV,Male,1,No,No,2,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,44.7,93.7,Yes +8920-NAVAY,Male,1,No,No,62,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),110.75,7053.35,No +1699-TLDLZ,Female,0,Yes,Yes,16,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.7,301.55,No +5600-PDUJF,Male,0,No,No,6,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Credit card (automatic),49.5,312.7,No +8292-TYSPY,Male,0,No,No,19,Yes,No,DSL,No,No,Yes,Yes,No,No,Month-to-month,Yes,Credit card (automatic),55,1046.5,Yes +0567-XRHCU,Female,0,Yes,Yes,69,No,No phone service,DSL,Yes,No,Yes,No,No,Yes,Two year,Yes,Credit card (automatic),43.95,2960.1,No +1867-BDVFH,Male,0,Yes,Yes,11,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.35,834.2,Yes +2067-QYTCF,Female,0,Yes,No,64,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,111.15,6953.4,No +2359-QWQUL,Female,0,Yes,No,39,Yes,No,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),104.7,4134.85,Yes +9103-TCIHJ,Female,0,No,No,15,Yes,Yes,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Mailed check,55.7,899.8,Yes +7407-SUJIZ,Male,0,No,No,25,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.6,541.5,No +9150-KPBJQ,Female,0,No,No,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.65,116.85,No +0052-DCKON,Male,0,Yes,No,66,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,No,Bank transfer (automatic),115.8,7942.15,No +3654-ARMGP,Female,0,No,No,61,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),88.65,5321.25,No +9699-UBQFS,Female,1,Yes,No,43,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,94.5,4156.8,No +9367-TCUYN,Female,0,No,No,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.1,223.6,No +1261-FWTTE,Male,1,No,No,23,No,No phone service,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),34.65,768.45,No +3528-HFRIQ,Male,1,Yes,No,71,No,No phone service,DSL,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),52.3,3765.05,No +0708-SJDIS,Female,0,No,No,34,Yes,Yes,DSL,No,No,No,Yes,Yes,No,Month-to-month,No,Mailed check,65,2157.5,No +4140-WJAWW,Female,0,No,No,5,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),19.85,108.05,Yes +2073-QBVBI,Female,0,Yes,No,41,No,No phone service,DSL,No,Yes,No,Yes,No,No,One year,No,Mailed check,35.45,1391.65,No +6928-ONTRW,Female,0,Yes,Yes,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.7,1379.8,No +3320-VEOYC,Male,1,No,No,14,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.6,1273.3,No +5231-FIQPA,Female,0,No,No,41,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,19.85,810.45,No +6617-WLBQC,Female,0,Yes,Yes,23,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,One year,No,Credit card (automatic),81.85,1810.85,No +2599-CIPQE,Male,0,Yes,Yes,71,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),109.3,7782.85,No +6653-CBBOM,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.3,70.3,Yes +8774-GSBUN,Male,0,Yes,No,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.4,1797.1,No +7326-RIGQZ,Male,0,Yes,Yes,6,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.8,377.85,No +1401-FTHFQ,Male,0,Yes,Yes,23,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Credit card (automatic),20,445.3,No +3247-ZVOUO,Male,1,Yes,No,10,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,85.55,851.75,Yes +0254-FNMCI,Female,0,No,No,72,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,109.9,7624.2,No +1848-LBZHY,Female,0,Yes,No,7,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),50.3,355.1,No +6101-IMRMM,Male,0,No,Yes,6,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,No,Mailed check,94.5,575.45,Yes +8118-TJAFG,Male,0,Yes,Yes,9,Yes,No,Fiber optic,No,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,101.5,906.85,No +5429-LWCMV,Female,0,No,No,12,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,89.15,1057.55,No +7298-IZWLY,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.4,19.4,No +9758-MFWGD,Female,1,Yes,Yes,48,No,No phone service,DSL,No,Yes,No,No,No,No,One year,No,Bank transfer (automatic),29.9,1388.75,No +3955-JBZZM,Male,0,No,No,20,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,No,Electronic check,78.8,1641.3,No +1268-ASBGA,Female,1,Yes,No,16,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),85.35,1375.15,Yes +8943-URTMR,Female,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Mailed check,79.65,152.7,Yes +4815-TUMEQ,Female,0,No,No,10,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,19.3,185.2,No +4713-LZDRV,Female,1,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,79.6,195.05,Yes +9909-IDLEK,Male,0,Yes,Yes,20,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,No,Month-to-month,No,Mailed check,96.8,1826.7,No +4092-OFQZS,Male,0,Yes,No,20,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.65,417.5,No +1561-BWHIN,Male,0,Yes,Yes,19,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.8,344.5,No +4325-NFSKC,Male,1,No,No,19,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,90.6,1660,Yes +9927-DSWDF,Male,0,Yes,No,22,Yes,No,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,104.6,2180.55,No +9500-LTVBP,Female,0,No,No,35,Yes,Yes,Fiber optic,No,No,No,Yes,No,No,Month-to-month,No,Credit card (automatic),80.05,2835.9,No +7252-NTGSS,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,45.15,45.15,No +8149-AIQCG,Male,0,No,No,39,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),73.15,2730.85,No +1360-JYXKQ,Female,1,Yes,No,54,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,99.1,5437.1,No +2955-PSXOE,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Bank transfer (automatic),20.2,20.2,Yes +7762-URZQH,Male,0,Yes,No,66,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,Two year,Yes,Credit card (automatic),106.05,6981.35,Yes +0899-WZRSD,Male,0,No,No,56,Yes,Yes,Fiber optic,Yes,No,No,Yes,Yes,Yes,Month-to-month,Yes,Mailed check,105.35,5794.45,No +3255-GRXMG,Male,0,No,Yes,18,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),45.65,747.2,No +4828-FAZPK,Female,0,Yes,Yes,16,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),79.95,1267.95,No +6094-ZIVKX,Female,0,No,No,68,Yes,No,DSL,Yes,No,Yes,No,No,No,One year,Yes,Credit card (automatic),54.45,3674.95,No +6925-BAYGL,Female,1,Yes,No,53,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.1,1275.6,No +3262-EIDHV,Female,0,Yes,Yes,72,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),84.7,5893.9,No +7354-OIJLX,Male,0,No,No,9,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.85,724.65,No +1376-HHBDV,Female,0,No,No,30,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Mailed check,48.8,1536.75,No +6907-NZZIJ,Female,0,No,No,36,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.15,3615.6,Yes +6133-OZILE,Female,0,No,No,18,No,No phone service,DSL,No,No,Yes,Yes,No,No,Month-to-month,Yes,Electronic check,35.2,607.3,No +4135-FRWKJ,Female,1,Yes,Yes,55,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,No,One year,No,Electronic check,76.25,4154.55,No +2911-UREFD,Female,0,Yes,No,39,No,No phone service,DSL,Yes,No,Yes,No,Yes,Yes,Month-to-month,No,Electronic check,55.9,2184.35,Yes +3744-ZRRDZ,Male,0,No,No,21,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,82.35,1852.85,Yes +5673-TIYIB,Male,0,No,No,2,No,No phone service,DSL,No,Yes,Yes,Yes,No,No,Month-to-month,Yes,Credit card (automatic),40.4,77.15,Yes +6551-ZCOTS,Male,1,No,No,33,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),24.9,847.8,No +7191-ADRGF,Male,0,Yes,No,44,No,No phone service,DSL,No,Yes,Yes,No,Yes,Yes,Two year,No,Bank transfer (automatic),54.3,2390.45,No +5018-LXQQG,Female,0,Yes,Yes,30,Yes,No,DSL,Yes,No,No,Yes,No,Yes,Month-to-month,No,Bank transfer (automatic),66.3,1923.5,No +6892-BOGQE,Female,0,Yes,No,71,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),20.9,1493.2,No +1602-IJQQE,Female,0,No,No,4,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,75.35,338.1,Yes +4628-WQCQQ,Male,0,No,Yes,35,Yes,No,Fiber optic,No,No,Yes,No,Yes,No,One year,Yes,Electronic check,85.15,3030.6,Yes +1746-TGTWV,Male,0,Yes,No,1,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,No,Credit card (automatic),75.35,75.35,No +5995-SNNEW,Male,1,Yes,No,23,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,104.45,2184.85,No +8050-WYBND,Female,0,No,Yes,22,No,No phone service,DSL,No,No,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),49.45,1031.4,No +2821-WARNZ,Female,0,No,Yes,49,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.45,921.3,No +4879-GZLFH,Female,0,Yes,Yes,42,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,92.15,3875.4,No +1644-IRKSF,Female,0,Yes,Yes,33,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,93.8,3124.5,Yes +8314-HTWVE,Female,0,Yes,Yes,7,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.85,144.15,No +9402-ROUMJ,Female,0,Yes,Yes,67,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,No,Yes,One year,Yes,Bank transfer (automatic),100.25,6689,No +2507-QZPQS,Male,0,No,No,15,Yes,Yes,Fiber optic,No,Yes,No,Yes,No,Yes,Month-to-month,No,Electronic check,95.7,1451.1,No +7159-NOKYQ,Male,0,Yes,No,67,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,Two year,Yes,Electronic check,93.15,6368.2,No +5707-ZMDJP,Male,0,Yes,Yes,53,Yes,No,DSL,Yes,Yes,No,Yes,Yes,No,Two year,Yes,Mailed check,69.7,3729.6,No +8779-YIQQA,Male,0,Yes,Yes,21,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.8,350.1,No +7136-IHZJA,Female,0,Yes,Yes,40,Yes,No,DSL,Yes,Yes,No,Yes,No,Yes,Month-to-month,Yes,Mailed check,71.35,2847.2,No +8966-OIQHG,Female,0,Yes,Yes,22,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),20.75,452.35,No +7074-STDCN,Male,0,No,No,39,No,No phone service,DSL,No,No,No,Yes,No,Yes,Month-to-month,Yes,Electronic check,40.6,1494.5,No +3705-PSNGL,Male,0,No,No,45,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Electronic check,20.4,930.45,Yes +8739-QOTTN,Female,0,Yes,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.35,41.85,No +1399-OUPJN,Female,0,Yes,Yes,57,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.75,1272.05,No +0277-BKSQP,Male,0,Yes,Yes,8,Yes,No,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,54.4,475.1,No +6502-HCJTI,Male,1,Yes,No,7,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),94.7,673.1,Yes +2606-RMDHZ,Male,0,No,No,6,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),30.5,208.7,Yes +5774-XZTQC,Female,0,Yes,Yes,7,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.45,150.75,No +2676-SSLTO,Male,0,No,No,49,Yes,Yes,DSL,No,No,No,Yes,Yes,No,Two year,Yes,Bank transfer (automatic),66.15,3199,No +6266-QHOJZ,Female,0,No,No,65,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,No,No,One year,Yes,Electronic check,89.85,5844.65,No +7269-JISCY,Female,0,No,No,55,Yes,No,DSL,No,No,No,No,No,No,One year,No,Bank transfer (automatic),45.05,2462.6,No +0363-SVHYR,Male,0,Yes,Yes,71,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),86.85,6263.8,No +8547-NSBBO,Male,0,No,No,35,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,No,Month-to-month,Yes,Mailed check,96.75,3403.4,No +8258-GSTJK,Male,1,No,No,3,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,77,237.75,Yes +6861-OKBCE,Female,0,No,Yes,11,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),20.1,221.35,Yes +9940-RHLFB,Female,0,No,No,1,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,No,Electronic check,75.3,75.3,Yes +6591-QGOYB,Male,0,No,No,17,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,No,Month-to-month,Yes,Bank transfer (automatic),106.65,1672.1,No +9070-BCKQP,Female,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),110.15,7881.2,No +6421-SZVEM,Female,0,Yes,Yes,28,Yes,No,Fiber optic,Yes,No,No,No,No,Yes,One year,Yes,Bank transfer (automatic),82.85,2320.8,No +1328-EUZHC,Female,0,Yes,No,18,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.1,370.5,No +2995-UPRYS,Female,1,Yes,No,40,Yes,No,Fiber optic,No,Yes,No,Yes,Yes,Yes,One year,Yes,Credit card (automatic),99.2,4062.2,Yes +8878-RYUKI,Female,0,No,No,52,Yes,No,DSL,No,No,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,59.45,3043.7,No +9633-DENPU,Female,0,Yes,No,47,Yes,No,DSL,No,Yes,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),58.6,2723.4,No +7811-JIVPF,Female,0,No,No,23,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,No,Credit card (automatic),49.7,1081.25,No +7113-HIPFI,Male,0,Yes,Yes,66,Yes,No,DSL,Yes,Yes,Yes,Yes,No,No,Two year,No,Mailed check,65.85,4097.05,No +8541-QVFKM,Female,0,No,No,8,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,73.5,632.2,No +6686-YPGHK,Male,1,No,No,47,Yes,No,Fiber optic,Yes,No,No,No,No,Yes,Month-to-month,No,Mailed check,85.5,4042.3,Yes +1383-EZRWL,Female,0,No,No,7,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.05,164.85,Yes +9258-CNWAC,Female,0,Yes,Yes,71,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),113.65,8166.8,No +5371-VYLSX,Female,1,No,No,50,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,83.4,4113.7,No +6374-AFWOX,Male,0,Yes,No,46,Yes,No,DSL,Yes,Yes,Yes,Yes,No,No,Two year,No,Mailed check,65.65,3047.15,No +4759-TRPLW,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,70.4,70.4,Yes +5317-FLPJF,Female,0,No,No,66,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),61.35,4193.4,No +7621-VPNET,Female,0,Yes,No,42,Yes,Yes,Fiber optic,No,No,Yes,Yes,No,No,Month-to-month,Yes,Credit card (automatic),85.9,3729.75,No +6034-YMTOB,Female,0,No,No,5,Yes,No,Fiber optic,No,No,No,Yes,No,No,Month-to-month,Yes,Mailed check,75.65,399.45,No +8563-IIOXK,Male,0,Yes,Yes,7,Yes,No,DSL,Yes,No,No,No,No,No,One year,Yes,Electronic check,49.75,331.3,Yes +4903-CNOZC,Male,0,No,No,29,Yes,Yes,DSL,No,Yes,Yes,No,No,Yes,One year,No,Credit card (automatic),70.9,1964.6,No +4353-HYOJD,Female,0,Yes,Yes,27,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,No,Mailed check,49.85,1336.15,No +8020-BWHYL,Female,1,No,No,15,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),75.3,1147.45,Yes +7267-FRMJW,Female,0,Yes,Yes,25,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.1,486.05,No +2982-VPSGI,Female,0,Yes,No,11,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94,1078.9,Yes +4188-FRABG,Male,0,Yes,No,57,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,No,Month-to-month,Yes,Electronic check,103.05,5925.75,No +8199-ZLLSA,Male,0,No,No,67,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),118.35,7804.15,Yes +4128-ETESU,Female,1,Yes,No,47,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,No,Electronic check,99.7,4747.2,No +0620-DLSLK,Female,0,No,No,13,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Mailed check,81.9,1028.9,No +4625-EWPTF,Male,0,No,No,8,No,No phone service,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,30.45,226.45,Yes +5980-NOPLP,Female,0,Yes,No,44,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,96.1,4364.1,Yes +3850-OKINF,Male,0,Yes,Yes,71,Yes,Yes,DSL,Yes,No,No,No,Yes,No,One year,Yes,Electronic check,66.2,4692.55,No +6892-XPFPU,Male,1,Yes,No,24,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,104.25,2433.9,Yes +8010-EZLOU,Male,1,No,No,15,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,80.2,1217.25,Yes +1156-ZFYDO,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,19.75,19.75,No +3295-YVUSR,Male,1,No,No,2,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,72.6,154.3,No +8016-NCFVO,Male,1,No,No,55,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,116.5,6382.55,No +4119-ZYPZY,Male,1,No,No,71,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,Two year,Yes,Electronic check,106.8,7623.2,No +5549-ZGHFB,Male,0,Yes,Yes,50,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,24.95,1261.45,No +7577-SWIFR,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,89.25,89.25,No +0303-WMMRN,Male,0,No,No,5,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.25,86.05,No +6408-OTUBZ,Female,0,No,No,66,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,No,One year,Yes,Bank transfer (automatic),104.55,6779.05,No +5204-HMGYF,Female,0,Yes,Yes,49,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Mailed check,87.2,4345,No +1078-TDCRN,Female,1,Yes,No,3,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,30.75,82.85,No +3727-OVPRY,Male,0,Yes,Yes,66,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Credit card (automatic),25.7,1714.55,No +3797-FKOGQ,Male,0,No,Yes,11,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,86.2,893.2,No +7622-NXQZR,Male,0,No,No,28,No,No phone service,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Credit card (automatic),30.1,810.85,No +6196-HBOBZ,Male,0,Yes,No,65,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,No,Two year,Yes,Electronic check,99.35,6347.55,No +3970-XGJDU,Female,0,No,No,62,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),19.2,1123.65,No +7017-VFULY,Female,0,Yes,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),20.1,43.15,No +5562-YJQGT,Female,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),20.35,35.1,No +8807-OPMBM,Female,0,Yes,Yes,55,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),25.65,1388,No +5439-WIKXB,Male,1,Yes,No,41,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.55,3851.45,No +9874-QLCLH,Female,0,Yes,Yes,17,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,104.2,1743.5,Yes +8294-UIMBA,Female,0,No,No,30,Yes,No,Fiber optic,No,No,No,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),94.4,2638.1,No +8109-YUOHE,Male,0,No,No,17,Yes,No,DSL,Yes,Yes,No,No,No,No,One year,No,Mailed check,56.1,946.95,No +5840-NVDCG,Female,0,Yes,Yes,16,Yes,No,DSL,Yes,Yes,No,Yes,No,Yes,Two year,No,Bank transfer (automatic),68.25,1114.85,No +8092-NLTGF,Male,0,No,No,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),24.75,1777.6,No +5928-QLDHB,Male,0,No,No,9,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,76.25,684.85,No +9840-EFJQB,Female,0,No,No,1,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,74.35,74.35,No +0696-UKTOX,Male,0,No,Yes,23,Yes,No,DSL,No,Yes,No,Yes,No,No,Month-to-month,No,Electronic check,54.15,1312.45,No +4801-KFYKL,Male,0,No,Yes,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),19.45,159.2,No +3472-OAOOR,Male,0,Yes,Yes,19,No,No phone service,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,34.95,610.2,No +6135-OZQVA,Female,0,No,No,7,Yes,Yes,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,53.65,404.35,No +8062-YBDOE,Male,1,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.65,69.65,Yes +2252-JHJGE,Male,0,No,No,61,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,One year,No,Electronic check,104,6363.45,No +4188-PCPIG,Female,0,Yes,No,57,Yes,No,DSL,Yes,Yes,No,Yes,Yes,No,Two year,Yes,Credit card (automatic),70.35,4124.65,No +6000-APYLU,Male,0,No,No,9,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,80.8,713.1,Yes +7105-BENQF,Male,0,No,Yes,15,Yes,No,DSL,Yes,No,Yes,No,No,Yes,One year,No,Mailed check,64.85,950.75,No +7721-DVEKZ,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.65,19.65,No +3566-VVORZ,Female,0,Yes,No,12,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),45.9,505.95,No +9507-HSMMZ,Male,0,No,No,54,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20,1149.65,No +2480-SQIOB,Male,0,Yes,Yes,4,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,44.8,169.65,No +0947-IDHRQ,Female,0,No,No,7,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Mailed check,80.3,526.7,Yes +7813-TKCVO,Female,0,Yes,No,20,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.35,393.15,No +0128-MKWSG,Female,0,No,Yes,26,No,No phone service,DSL,Yes,No,No,Yes,No,Yes,Month-to-month,No,Mailed check,45.8,1147,No +3672-YITQD,Male,1,Yes,No,36,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,84.1,3021.6,Yes +4350-ZTLPI,Female,0,Yes,No,53,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),108.95,5718.2,No +9048-JVYVF,Male,0,No,No,3,Yes,No,DSL,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,69.35,191.35,Yes +0361-HJRDX,Female,0,No,No,68,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),64.35,4539.6,No +5727-MYATE,Male,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),90.8,6397.6,No +3823-KYNQY,Male,0,No,No,12,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),24.95,280.4,No +8988-ECPJR,Female,1,Yes,Yes,34,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,79.6,2718.3,Yes +7570-WELNY,Female,0,Yes,No,68,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,No,Two year,Yes,Bank transfer (automatic),84.7,5711.05,No +3021-VLNRJ,Female,0,No,Yes,50,Yes,No,DSL,Yes,No,Yes,Yes,Yes,No,One year,Yes,Credit card (automatic),70.8,3478.15,No +3776-EKTKM,Female,1,No,No,1,No,No phone service,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,36.45,36.45,Yes +2080-CAZNM,Female,1,No,No,41,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,104.4,4133.95,No +1028-FFNJK,Male,1,Yes,No,30,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,101.5,2917.65,No +6907-FLBER,Male,0,No,No,1,Yes,Yes,DSL,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,54.3,54.3,No +3001-UNBTL,Male,1,Yes,Yes,29,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,103.95,2964.8,No +5982-PSMKW,Female,0,Yes,Yes,23,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),91.1,2198.3,No +3507-GASNP,Male,0,No,Yes,60,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.95,1189.9,No +7096-ZNBZI,Female,0,Yes,No,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),26.45,1914.5,No +1902-XBTFB,Male,0,No,Yes,22,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,89.4,2001.5,Yes +1676-MQAOA,Male,0,No,No,72,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,Yes,Bank transfer (automatic),75.1,5336.35,No +0786-IVLAW,Female,1,No,No,66,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,No,Bank transfer (automatic),108.1,7238.6,No +7566-DSRLQ,Female,0,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,110.15,7998.8,No +0643-OKLRP,Female,1,Yes,No,47,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,No,Electronic check,80.35,3825.85,Yes +7245-JMTTQ,Female,0,No,No,51,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,111.5,5703.25,No +6050-IJRHS,Female,0,Yes,Yes,70,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,106.5,7397,No +6202-JVYEU,Male,0,No,No,9,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Electronic check,19.9,164.6,No +8591-TKMZH,Male,0,Yes,Yes,59,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,Two year,Yes,Mailed check,111.1,6555.2,No +0734-OXWBT,Male,0,No,Yes,3,Yes,No,DSL,No,No,No,Yes,Yes,Yes,Month-to-month,No,Mailed check,70.7,225.65,No +4282-ACRXS,Male,1,Yes,No,38,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,24.85,955.75,No +0365-TRTPY,Female,0,No,No,37,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,No,Month-to-month,No,Bank transfer (automatic),91.2,3382.3,No +7349-ALMUX,Male,0,No,No,37,Yes,No,DSL,Yes,Yes,Yes,Yes,No,No,Two year,No,Bank transfer (automatic),65.6,2313.8,No +9381-NDKME,Female,1,Yes,No,24,No,No phone service,DSL,No,No,Yes,No,No,Yes,Month-to-month,Yes,Credit card (automatic),40.65,933.3,Yes +6502-KUGLL,Female,0,Yes,Yes,14,Yes,No,DSL,Yes,Yes,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),59.45,780.85,No +1841-YSJGV,Male,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),109.95,7852.4,No +2794-XIMMO,Male,0,Yes,No,53,No,No phone service,DSL,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,60.45,3184.25,Yes +8382-SHQEH,Female,0,Yes,No,8,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,84.9,764.95,Yes +3511-BFTJW,Male,0,Yes,Yes,72,No,No phone service,DSL,Yes,Yes,Yes,No,No,No,Two year,No,Credit card (automatic),38.5,2763,No +7668-XCFYV,Female,1,Yes,No,17,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,92.55,1614.7,No +2983-ZANRP,Female,0,Yes,Yes,2,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),73.55,145.4,Yes +7845-URHJN,Female,0,Yes,No,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),20.15,156.25,Yes +3034-ZBEQN,Female,0,Yes,No,48,No,No phone service,DSL,No,Yes,Yes,No,No,No,One year,No,Mailed check,34.7,1604.5,Yes +5018-HEKFO,Female,0,No,No,10,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,24.5,270.15,No +2923-ARZLG,Male,0,Yes,Yes,0,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,19.7, ,No +3976-NLDEZ,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.6,20.6,No +2282-YGNOR,Female,0,No,No,29,Yes,No,DSL,Yes,No,Yes,Yes,No,No,One year,No,Credit card (automatic),58,1734.5,No +5336-UFNZP,Female,1,Yes,Yes,65,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,107.45,7047.5,No +6854-EXGSF,Female,0,No,No,8,Yes,Yes,DSL,Yes,Yes,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),65.5,573.15,No +1241-EZFMJ,Male,0,Yes,No,61,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),25.45,1538.6,No +9233-PSYHO,Female,1,No,No,45,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),100.15,4459.8,No +5376-PCKNB,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),104.45,7459,No +8044-BGWPI,Male,0,Yes,Yes,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,21.15,306.05,No +4060-LDNLU,Male,0,No,No,7,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,96.2,639.7,No +3589-PPVKW,Male,0,No,No,9,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,44.4,348.15,No +8327-LZKAS,Female,1,Yes,No,43,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,107.55,4533.9,Yes +5887-IKKYO,Male,0,Yes,Yes,58,Yes,Yes,Fiber optic,No,No,Yes,Yes,No,Yes,Two year,No,Bank transfer (automatic),94.35,5563.65,No +1075-BGWOH,Male,1,Yes,No,16,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,98.75,1587.55,Yes +1755-RMCXH,Male,0,Yes,Yes,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.3,40.25,No +0302-JOIVN,Female,0,Yes,No,8,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,No,Electronic check,101.15,842.9,Yes +3858-XHYJO,Female,0,Yes,No,40,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,One year,No,Bank transfer (automatic),105.75,4228.55,No +4299-SIMNS,Male,0,No,No,9,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,81.15,784.45,No +7025-IWFHT,Male,0,No,No,41,Yes,No,Fiber optic,No,Yes,No,Yes,Yes,No,One year,Yes,Electronic check,89.55,3729.75,No +6261-LHRTG,Female,0,No,No,26,Yes,No,DSL,No,Yes,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),54.75,1406.9,No +7841-FCRQD,Female,0,Yes,No,33,Yes,No,DSL,No,Yes,No,Yes,No,No,One year,Yes,Credit card (automatic),53.75,1857.3,No +2056-EVGZL,Male,0,Yes,Yes,68,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,No,Credit card (automatic),105.75,7322.5,No +8777-MBMTS,Female,1,Yes,No,65,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),105.85,6725.5,No +7753-USQYQ,Male,0,No,No,55,Yes,No,DSL,No,Yes,No,Yes,No,Yes,One year,Yes,Electronic check,64.2,3627.3,No +5366-IJEQJ,Male,0,No,No,20,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,88.7,1761.45,Yes +7661-CPURM,Male,0,No,No,19,Yes,No,Fiber optic,No,No,No,Yes,No,Yes,One year,Yes,Credit card (automatic),87.7,1725.95,No +6233-HXJMX,Female,0,No,No,45,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Credit card (automatic),89.3,4192.15,No +5902-WBLSE,Female,0,Yes,Yes,70,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),20.15,1411.2,No +1981-INRFU,Female,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,79.75,164.5,Yes +4971-PUYQO,Female,0,No,No,27,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Mailed check,94.55,2724.6,Yes +3239-TPHPZ,Female,0,Yes,No,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Electronic check,20.05,264.55,No +5115-GZDEL,Male,0,No,Yes,72,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),67.2,4671.7,No +3338-CVVEH,Male,0,No,No,12,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,94.55,1173.55,No +8485-GJCDN,Female,1,No,No,5,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,69.05,318.5,Yes +2615-YVMYX,Male,1,Yes,No,71,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,107.5,7713.55,No +2851-STERV,Male,1,No,No,35,Yes,No,DSL,No,No,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,73,2471.25,No +4393-GEADV,Male,0,Yes,Yes,70,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),114.75,7842.3,No +8486-AYEQH,Female,0,No,No,31,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,76.05,2227.8,No +1527-SXDPN,Male,0,Yes,Yes,52,Yes,Yes,Fiber optic,No,No,Yes,Yes,No,Yes,Two year,Yes,Bank transfer (automatic),96.25,4990.25,Yes +6029-WTIPC,Male,1,No,No,37,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,101.1,3744.05,Yes +8634-CILSZ,Male,0,No,No,69,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),104.7,7220.35,Yes +5419-JKZNQ,Male,1,Yes,No,30,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Mailed check,77.9,2351.45,No +2495-KZNFB,Female,0,No,No,33,Yes,Yes,Fiber optic,Yes,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,90.65,2989.6,No +1409-PHXTF,Male,1,Yes,No,54,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,110.45,6077.75,No +4560-WQAQW,Female,0,No,No,59,Yes,Yes,DSL,Yes,No,No,Yes,No,Yes,One year,No,Bank transfer (automatic),68.7,4070.95,No +9591-YVTEB,Male,1,No,No,55,No,No phone service,DSL,Yes,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,44.85,2479.05,No +9309-BZGNT,Male,1,Yes,No,69,No,No phone service,DSL,No,No,Yes,No,No,No,One year,Yes,Credit card (automatic),29.8,2134.3,No +4274-DRSQT,Female,0,No,No,66,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,One year,Yes,Bank transfer (automatic),88.9,6000.1,No +2027-DNKIV,Male,0,Yes,Yes,37,Yes,No,DSL,Yes,No,Yes,Yes,No,No,One year,Yes,Mailed check,58.75,2203.1,No +8075-GXIUB,Male,1,Yes,No,9,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.85,183.15,No +2885-HIJDH,Male,0,Yes,Yes,69,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),86.9,6194.1,No +5424-RLQLC,Male,0,No,No,10,Yes,No,DSL,No,Yes,No,No,Yes,No,Month-to-month,Yes,Mailed check,59.65,638.95,No +6682-QJDGB,Male,0,No,Yes,40,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,55.25,2139.2,Yes +6507-DTJZV,Male,0,No,Yes,13,Yes,No,DSL,No,No,No,No,Yes,Yes,Month-to-month,No,Credit card (automatic),66.4,831.75,No +8780-IXSTS,Female,0,No,No,6,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,90.1,521.3,Yes +7673-BQGKU,Female,0,Yes,Yes,69,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.15,1337.5,No +6723-WSNTY,Female,1,Yes,No,66,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),108.1,7181.95,No +9530-EHPOH,Male,0,No,No,11,Yes,Yes,DSL,No,No,Yes,No,No,No,Month-to-month,No,Electronic check,53.75,608,Yes +2725-IWWBA,Male,0,Yes,Yes,46,Yes,No,DSL,Yes,No,Yes,Yes,No,No,One year,No,Mailed check,56.9,2560.1,No +0345-HKJVM,Female,0,No,No,6,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,89.3,577.6,Yes +1061-PNTHC,Female,0,Yes,Yes,56,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Mailed check,109.6,5953,No +0394-YONDK,Male,0,Yes,Yes,70,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.15,1790.15,No +6574-MCOEH,Female,0,Yes,Yes,33,Yes,Yes,DSL,No,No,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,79.15,2531.4,No +7399-QHBJS,Female,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,Two year,No,Credit card (automatic),66.75,4760.3,No +3049-SOLAY,Female,0,Yes,No,3,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.2,292.85,Yes +0997-YTLNY,Female,0,No,Yes,19,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,No,Mailed check,48.8,953.65,No +3317-HRTNN,Female,1,No,No,5,No,No phone service,DSL,No,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,45.7,198,Yes +9479-HYNYL,Female,0,Yes,No,71,Yes,No,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),80.7,5705.05,No +3235-ETOOB,Male,0,Yes,No,8,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.5,609.9,Yes +9708-KFDBY,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),20.55,20.55,No +8058-INTPH,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,79.65,79.65,Yes +3642-GKTCT,Female,0,No,No,61,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Mailed check,115.1,6993.65,No +0774-RMNUW,Female,0,Yes,Yes,71,No,No phone service,DSL,Yes,Yes,No,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),59.7,4122.65,No +1334-PDUKM,Female,0,Yes,No,68,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,No,One year,No,Credit card (automatic),86.45,5762.95,No +0756-MPZRL,Male,0,No,No,46,No,No phone service,DSL,No,No,Yes,Yes,No,No,One year,No,Credit card (automatic),33.7,1537.85,No +2242-MFOTG,Male,0,No,No,33,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,One year,No,Bank transfer (automatic),80.1,2603.3,No +2927-CVULT,Female,0,Yes,Yes,53,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,Yes,Two year,Yes,Bank transfer (automatic),104.05,5566.4,No +2144-BFDSO,Female,1,Yes,No,50,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Month-to-month,No,Bank transfer (automatic),108.75,5431.9,No +8745-PVESG,Female,0,No,No,57,No,No phone service,DSL,Yes,No,Yes,Yes,No,No,One year,Yes,Credit card (automatic),41.1,2258.25,No +7647-GYYKX,Female,0,Yes,Yes,54,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),20.35,1092.35,No +5647-FXOTP,Female,1,Yes,No,60,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,105.9,6401.25,No +5569-OUICF,Female,1,Yes,No,28,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),101.3,2812.2,Yes +8821-XNHVZ,Female,0,Yes,Yes,1,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Mailed check,80.05,80.05,Yes +2082-OJVTK,Male,0,Yes,Yes,29,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,89.2,2698.35,Yes +9700-ISPUP,Female,0,Yes,Yes,10,Yes,No,DSL,No,Yes,No,Yes,No,Yes,Month-to-month,Yes,Electronic check,65.5,616.9,No +9839-ETQOE,Male,0,No,Yes,43,No,No phone service,DSL,Yes,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,40.45,1912.85,No +6078-VESFR,Male,1,Yes,No,13,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),70.45,849.1,No +9027-TMATR,Female,0,Yes,No,43,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,78.8,3460.3,No +5940-NFXKV,Male,0,Yes,Yes,19,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,83.65,1465.75,Yes +1941-HOSAM,Male,0,Yes,Yes,1,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,90.1,90.1,No +9110-HSGTV,Female,0,No,No,69,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),82.45,5555.3,No +0704-VCUMB,Female,0,Yes,No,61,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.25,1278.8,No +6171-ZTVYB,Male,0,Yes,No,43,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),66.25,2907.35,No +8053-WWDRO,Female,0,Yes,No,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),19.5,146.3,Yes +9564-KCLHR,Male,0,No,No,1,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,No,Mailed check,51.25,51.25,Yes +1935-IMVBB,Male,0,Yes,No,56,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Mailed check,89.7,4952.95,No +2535-PBCGC,Female,0,Yes,No,70,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),64.55,4504.9,No +2082-CEFLT,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,45.6,45.6,Yes +1470-PSXNM,Male,0,Yes,Yes,49,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,One year,Yes,Electronic check,93.65,4520.15,No +1213-NGCUN,Female,0,No,No,6,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Bank transfer (automatic),49.65,267.35,Yes +2498-XLDZR,Female,0,Yes,Yes,32,Yes,No,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,No,Mailed check,73.6,2316.85,No +9866-OCCKE,Female,1,Yes,No,72,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Mailed check,109.75,8075.35,No +5338-YHWYT,Male,0,No,Yes,37,Yes,No,DSL,Yes,Yes,No,Yes,No,No,Two year,No,Credit card (automatic),61.45,2302.35,No +7718-UPSKJ,Female,0,Yes,No,69,Yes,No,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,One year,Yes,Credit card (automatic),106.4,7251.9,No +8731-WBBMB,Female,0,Yes,No,26,Yes,No,DSL,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,No,Bank transfer (automatic),81.9,2078.55,No +1448-CYWKC,Female,0,Yes,Yes,58,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),105.2,6225.4,No +7901-IIDQV,Male,0,No,No,24,Yes,Yes,DSL,No,No,No,Yes,No,No,One year,No,Bank transfer (automatic),54.6,1242.25,No +2690-DVRVK,Male,0,Yes,Yes,5,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Electronic check,20.55,99.45,No +5688-KZTSN,Male,0,Yes,Yes,15,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,20,288.05,Yes +1270-XKUCC,Female,0,Yes,Yes,30,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.7,599.25,No +0334-ZFJSR,Female,0,Yes,No,55,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,One year,Yes,Credit card (automatic),66.05,3462.1,No +2894-QOJRX,Female,0,Yes,No,25,No,No phone service,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),34,853,Yes +5747-PMBSQ,Male,1,Yes,No,10,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,No,Month-to-month,Yes,Mailed check,92.5,934.1,Yes +5583-EJXRD,Male,0,Yes,Yes,44,No,No phone service,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,Yes,Credit card (automatic),54.05,2375.2,No +4565-EVZMJ,Female,0,No,No,47,Yes,No,DSL,Yes,Yes,No,Yes,No,No,One year,Yes,Mailed check,58.9,2813.05,No +3143-JQEGI,Female,0,Yes,Yes,13,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,88.35,1222.8,Yes +6386-SZZKH,Female,0,Yes,Yes,49,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),107.95,5293.2,Yes +3327-YBAKM,Female,0,Yes,No,64,Yes,No,Fiber optic,Yes,No,No,Yes,Yes,Yes,One year,Yes,Mailed check,96.9,6314.35,No +9441-QHEVC,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.1,19.1,No +6705-LNMDD,Male,0,No,No,20,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,No,Mailed check,50,1003.05,No +2580-ASVVY,Female,0,Yes,No,37,No,No phone service,DSL,Yes,No,No,Yes,Yes,No,Two year,No,Electronic check,45.4,1593.1,No +3370-GQEAL,Male,0,Yes,Yes,30,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,No,Electronic check,85.45,2509.95,No +5032-USPKF,Female,0,No,No,38,Yes,Yes,DSL,Yes,Yes,Yes,No,Yes,Yes,One year,No,Bank transfer (automatic),84.1,3187.65,No +2982-IHMFT,Female,1,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,74.45,74.45,Yes +3521-SYVOR,Female,0,No,No,37,Yes,No,DSL,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,64.75,2345.2,Yes +4254-QPEDE,Female,0,Yes,No,52,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),66.25,3330.1,No +6283-GITPX,Male,0,No,Yes,71,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,Yes,Credit card (automatic),76.9,5522.7,No +9526-JAWYF,Male,0,No,No,26,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,No,Electronic check,89.8,2335.3,Yes +0771-CHWSK,Male,0,No,No,66,Yes,Yes,DSL,Yes,Yes,Yes,No,No,Yes,Two year,Yes,Credit card (automatic),74.6,4798.4,No +9788-HNGUT,Male,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),116.95,8594.4,No +9495-REDIY,Male,0,No,Yes,25,No,No phone service,DSL,Yes,No,No,No,Yes,No,One year,Yes,Credit card (automatic),40.65,970.55,No +5375-XLDOF,Male,0,Yes,Yes,69,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),114.35,7665.8,No +1172-VIYBP,Male,0,Yes,Yes,53,Yes,Yes,DSL,Yes,Yes,No,No,No,Yes,Two year,No,Bank transfer (automatic),69.7,3686.05,No +5649-VUKMC,Female,0,No,No,12,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,One year,No,Mailed check,95.5,1115.15,Yes +6559-PDZLR,Male,0,No,No,26,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,98.65,2537,No +8992-OBVDG,Male,0,No,No,21,Yes,No,DSL,No,No,Yes,No,No,Yes,Month-to-month,No,Mailed check,61.65,1393.6,No +4273-MBHYA,Female,0,No,Yes,1,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,89.35,89.35,No +4724-WXVWF,Male,0,No,No,48,Yes,Yes,Fiber optic,Yes,No,No,Yes,No,Yes,Month-to-month,Yes,Electronic check,95.4,4445.3,No +5701-GUXDC,Female,0,Yes,No,26,No,No phone service,DSL,Yes,No,Yes,No,No,No,One year,No,Credit card (automatic),35.4,978.6,No +1460-UZPRJ,Male,0,Yes,No,60,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.95,1258.15,No +6082-GLJIX,Male,0,No,No,18,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.25,331.35,No +5143-EGQFK,Female,1,No,No,10,No,No phone service,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,29.65,291.4,Yes +4919-IKATY,Male,0,Yes,Yes,5,Yes,Yes,Fiber optic,Yes,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,84.5,453.75,Yes +2495-TTHBQ,Female,0,No,Yes,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,20.4,84.75,No +0485-ZBSLN,Male,0,Yes,Yes,65,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),24.75,1715.1,No +3810-PJUHR,Male,0,Yes,Yes,70,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.35,1715.15,No +9050-QLROH,Male,0,No,No,18,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Credit card (automatic),90.7,1597.25,Yes +0847-HGRML,Male,0,No,Yes,62,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20,1250.1,No +8232-CTLKO,Female,0,Yes,Yes,66,Yes,No,DSL,Yes,No,No,No,Yes,No,Two year,Yes,Electronic check,59.75,3996.8,No +9227-YBAXE,Female,0,Yes,Yes,65,Yes,Yes,DSL,Yes,Yes,No,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),82.5,5215.1,No +6168-WFVVF,Female,1,No,No,3,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.3,235.5,Yes +9860-LISIZ,Female,0,No,No,34,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.35,673.2,No +0112-QAWRZ,Male,0,Yes,Yes,16,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),90.8,1442.2,No +0877-SDMBN,Female,0,No,No,54,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),103.95,5639.05,Yes +2786-GCDPI,Female,1,No,No,50,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,104.95,5222.35,No +4043-MKDTV,Male,0,Yes,No,71,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,105.25,7291.75,No +8065-YKXKD,Female,0,No,No,10,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.75,799.65,Yes +9637-EIHEQ,Female,0,No,No,1,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,50.8,50.8,Yes +9229-RQABD,Male,0,No,No,18,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,23.75,424.5,No +8313-KTIHG,Male,0,No,No,4,Yes,No,DSL,No,No,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,61.3,249.4,No +5320-BRKGK,Female,0,Yes,Yes,58,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,No,Two year,No,Mailed check,75.8,4415.75,No +6284-KMNUF,Female,0,Yes,No,56,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,One year,Yes,Electronic check,98,5270.6,No +9689-PTNPG,Male,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,80.25,144.55,Yes +9465-RWMXL,Male,0,Yes,No,32,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,78.9,2447.95,Yes +6229-UOLQL,Male,0,Yes,Yes,56,No,No phone service,DSL,Yes,Yes,No,Yes,Yes,No,One year,Yes,Mailed check,52,2884.9,No +2362-IBOOY,Male,0,No,No,36,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,84.75,3050.15,Yes +3137-LUPIX,Female,0,No,No,4,Yes,Yes,DSL,No,No,No,Yes,Yes,No,Month-to-month,Yes,Mailed check,64.4,253,No +0843-WTBXE,Male,0,No,No,53,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,No,Bank transfer (automatic),85.45,4517.25,Yes +6143-JQKEA,Male,0,No,No,10,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),45.8,436.2,No +8676-OOQEJ,Male,0,No,No,4,No,No phone service,DSL,No,No,No,Yes,No,No,Month-to-month,No,Electronic check,30.5,118.4,No +5515-IDEJJ,Male,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.9,19.9,Yes +9701-CDXHR,Female,0,Yes,No,51,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Mailed check,69.15,3649.6,No +7450-NWRTR,Male,1,No,No,12,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.45,1200.15,Yes +8124-NZVGJ,Female,0,No,No,6,No,No phone service,DSL,No,No,No,Yes,Yes,Yes,One year,Yes,Mailed check,49.25,255.6,No +2162-FRZAA,Male,0,Yes,Yes,63,No,No phone service,DSL,No,Yes,Yes,Yes,No,No,Two year,No,Bank transfer (automatic),39.35,2395.05,No +5376-DEQCP,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.6,70.6,Yes +5118-MUEYH,Female,0,Yes,No,48,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),105.1,5083.55,No +9095-HFAFX,Female,0,No,No,5,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),81,389.6,Yes +5627-TVBPP,Female,0,No,Yes,35,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Credit card (automatic),20.1,644.5,No +2379-ENZGV,Male,0,No,No,6,Yes,No,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,84.85,523.5,Yes +3936-QQFLL,Male,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.75,39.3,No +2589-AYCRP,Female,0,No,No,50,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),19.75,989.05,No +4067-HLYQI,Female,0,No,No,33,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),70.4,2406.1,No +5124-EOGYE,Male,0,No,No,31,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.45,638.55,No +5057-RKGLH,Female,0,Yes,Yes,9,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.35,191.1,No +0292-WEGCH,Female,0,Yes,Yes,54,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,86.2,4524.05,No +8910-ICHIU,Female,0,No,No,46,Yes,No,Fiber optic,Yes,Yes,Yes,No,Yes,No,One year,Yes,Credit card (automatic),95.65,4664.2,No +4097-YODCF,Male,0,No,Yes,34,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,Yes,One year,Yes,Electronic check,103.8,3470.8,No +9715-WZCLW,Male,0,Yes,Yes,71,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,Two year,Yes,Electronic check,97.2,6910.3,No +9786-YWNHU,Female,0,Yes,Yes,63,Yes,No,DSL,Yes,Yes,Yes,Yes,No,No,Two year,No,Mailed check,63.55,4014.2,No +6407-GSJNL,Female,0,No,No,51,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),24.95,1288,No +6005-OBZPH,Female,1,No,No,26,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,89.15,2277.65,Yes +4049-ZPALD,Female,0,Yes,No,64,Yes,No,Fiber optic,Yes,No,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),99,6375.8,No +7932-WPTDS,Female,1,Yes,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,24.8,24.8,Yes +3733-UOCWF,Male,1,Yes,No,61,Yes,Yes,Fiber optic,No,Yes,No,Yes,No,No,One year,Yes,Bank transfer (automatic),85.55,5251.75,No +6833-JMZYP,Female,0,No,No,15,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),94,1505.45,No +2722-VOJQL,Male,0,No,No,64,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,One year,Yes,Credit card (automatic),105.65,6903.1,Yes +1310-QRITU,Female,0,No,No,18,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,50.3,913.3,No +8961-QDZZJ,Female,0,Yes,Yes,57,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,One year,Yes,Electronic check,95,5535.8,No +9715-SBVSU,Male,0,Yes,Yes,14,Yes,No,DSL,Yes,Yes,No,No,No,Yes,Two year,Yes,Bank transfer (automatic),61.4,815.55,No +8490-BXHEO,Male,1,No,No,18,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),80.55,1411.65,No +7173-TETGO,Female,1,Yes,No,72,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Two year,No,Bank transfer (automatic),78.5,5602.25,No +7929-SKFGK,Male,0,Yes,No,70,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),114.3,8244.3,No +2300-RQGOI,Female,0,No,No,38,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.05,741.5,No +3563-SVYLG,Male,0,Yes,Yes,68,Yes,No,DSL,Yes,Yes,Yes,Yes,No,No,Two year,No,Credit card (automatic),62.65,4375.8,No +5228-EXCET,Male,0,No,No,13,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,80.85,1008.7,Yes +6435-VWCCY,Male,1,Yes,No,65,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,No,Two year,Yes,Credit card (automatic),92.7,5968.4,No +4998-IKFSE,Female,0,No,No,30,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,No,Electronic check,100.45,3096.9,No +8630-QSGXK,Male,0,Yes,No,51,Yes,Yes,DSL,No,No,No,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),75.2,3901.25,No +2455-USLMV,Female,0,No,No,31,Yes,Yes,Fiber optic,Yes,No,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),84.75,2613.4,No +7394-FKDNK,Female,0,Yes,No,9,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,89.45,853.1,Yes +9488-FVZCC,Female,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,Yes,Bank transfer (automatic),79.5,5661.7,No +6331-LWDTQ,Male,0,No,No,10,Yes,Yes,DSL,No,No,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),72.15,794.25,Yes +5995-WWKKG,Female,0,No,No,37,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Electronic check,19.8,695.05,No +1597-FZREH,Female,0,No,No,2,Yes,No,DSL,No,No,Yes,Yes,Yes,Yes,Month-to-month,No,Electronic check,76.4,160.8,Yes +7879-CGSFV,Male,0,No,No,55,Yes,No,Fiber optic,Yes,Yes,No,No,Yes,Yes,One year,Yes,Mailed check,100.9,5552.05,No +9921-EZKBY,Male,0,No,Yes,33,Yes,Yes,Fiber optic,Yes,No,Yes,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),95.3,3275.15,No +7432-FFVAR,Female,0,Yes,Yes,46,Yes,No,Fiber optic,No,No,Yes,Yes,No,Yes,One year,No,Bank transfer (automatic),90.95,4236.6,No +7246-ZGQDF,Female,0,No,Yes,1,Yes,No,DSL,Yes,No,No,Yes,No,No,Month-to-month,No,Electronic check,54.5,54.5,No +7000-WCEVQ,Female,1,No,No,20,Yes,Yes,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Mailed check,61.6,1174.35,Yes +0727-IWKVK,Male,0,Yes,No,9,Yes,No,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,79.9,741.7,Yes +5959-BELXA,Male,1,No,No,32,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),96.15,3019.25,Yes +4456-RHSNB,Female,0,Yes,Yes,19,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),49.6,962.9,No +3512-IZIKN,Female,0,Yes,No,70,Yes,Yes,DSL,Yes,No,Yes,Yes,No,No,Two year,No,Credit card (automatic),65.3,4759.75,Yes +2481-SBOYW,Female,0,No,Yes,61,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),25,1498.35,No +7109-MFBYV,Male,0,No,No,26,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,45.45,1233.15,No +1833-TCXKK,Male,0,Yes,No,45,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),107.75,4882.8,No +1832-PEUTS,Male,0,Yes,Yes,62,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Two year,Yes,Credit card (automatic),89.1,5411.65,No +6141-OOXUQ,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.65,19.65,Yes +8660-BUETV,Female,0,No,No,3,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,44.75,148.05,No +0580-PIQHM,Female,0,Yes,Yes,41,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,Yes,One year,Yes,Bank transfer (automatic),101.6,3930.55,No +5696-CEIQJ,Male,0,Yes,Yes,67,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),103.15,6895.5,No +7503-ZGUZJ,Male,0,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Mailed check,84.65,84.65,Yes +1696-HXOWK,Female,0,Yes,No,71,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,No,One year,No,Mailed check,95.65,6856.95,No +3026-ATZYV,Female,0,Yes,Yes,37,Yes,No,DSL,Yes,Yes,No,No,Yes,Yes,One year,No,Bank transfer (automatic),75.1,2658.8,No +4012-YCFAI,Male,0,Yes,No,60,Yes,No,DSL,Yes,Yes,No,Yes,No,No,Two year,Yes,Mailed check,61.35,3766.2,No +2506-TNFCO,Female,1,Yes,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.55,69.55,Yes +9970-QBCDA,Female,0,No,No,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),19.7,129.55,No +8718-PTMEZ,Female,0,No,No,13,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,31.05,347.25,Yes +9496-IVVRP,Female,0,Yes,Yes,11,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),51,581.7,No +2207-OBZNX,Male,0,No,No,7,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Mailed check,51,354.05,Yes +2657-VPXTA,Female,0,Yes,Yes,10,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,88.85,929.45,No +6551-VLJMV,Male,0,Yes,No,34,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.05,679,No +1221-GHZEP,Female,0,No,No,62,Yes,No,DSL,Yes,No,No,Yes,No,Yes,Two year,Yes,Mailed check,65.1,3846.75,No +9289-LBQVU,Male,0,Yes,No,64,Yes,Yes,DSL,No,Yes,No,Yes,No,Yes,One year,Yes,Mailed check,70.15,4480.7,No +6142-VSJQO,Female,0,Yes,Yes,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),44.35,44.35,Yes +3458-IDMFK,Male,0,No,No,25,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,20.75,499.4,No +6933-FHBZC,Female,0,No,No,26,Yes,No,DSL,No,Yes,Yes,No,No,No,One year,Yes,Mailed check,56.05,1553.2,No +0221-NAUXK,Male,0,No,Yes,10,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),19.95,219.5,No +9770-KXGQU,Female,0,No,No,53,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,No,One year,No,Mailed check,98.6,5311.85,No +6437-UKHMV,Female,0,No,No,7,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,79.7,586.05,Yes +6538-POCHL,Male,0,No,No,33,Yes,No,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),79,2576.8,No +6726-NNFWD,Female,1,Yes,No,71,Yes,No,Fiber optic,No,Yes,Yes,No,No,Yes,Two year,No,Credit card (automatic),89.45,6435.25,No +3002-WQZWT,Female,0,No,No,29,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.2,1993.25,No +4277-UDIEF,Male,0,Yes,Yes,24,Yes,Yes,DSL,Yes,No,No,Yes,Yes,Yes,Month-to-month,No,Bank transfer (automatic),81,1923.85,No +1208-NBVFH,Male,0,Yes,Yes,20,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,49.6,939.8,No +4912-PIGUY,Female,0,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,84.6,84.6,No +1114-CENIM,Male,0,No,Yes,54,Yes,Yes,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),55,3092.65,Yes +6060-DRTNL,Female,1,No,No,5,Yes,No,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Mailed check,84.85,415.55,Yes +2725-TTRIQ,Female,0,Yes,Yes,72,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),84.2,5986.55,No +3374-TTZTK,Male,0,Yes,No,52,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,106.3,5487,No +8990-ZXLSU,Female,0,No,No,9,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,69.05,651.5,No +2275-RBYQS,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,45.4,45.4,No +8473-VUVJN,Male,1,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,73.65,73.65,Yes +6289-CPNLD,Male,0,Yes,Yes,33,Yes,No,DSL,No,No,Yes,Yes,Yes,Yes,One year,Yes,Mailed check,73.9,2405.05,Yes +5536-SLHPM,Female,0,Yes,No,55,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,77.75,4458.15,Yes +4419-UJMUS,Male,0,Yes,Yes,69,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Two year,Yes,Electronic check,99.35,6856.45,No +7794-JASDG,Male,0,No,No,1,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Mailed check,50.75,50.75,No +7609-YBPXG,Male,0,No,No,54,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),87.1,4735.2,No +5519-TEEUH,Male,0,No,Yes,33,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,20.15,682.15,No +7856-GANIL,Male,1,Yes,No,45,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,No,One year,Yes,Bank transfer (automatic),98.7,4525.8,No +0804-XBFBV,Female,0,No,Yes,11,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,25.2,321.05,No +2676-OXPPQ,Male,0,No,No,6,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),55.7,335.65,No +3703-TTEPD,Male,0,No,No,21,Yes,No,DSL,Yes,No,Yes,No,Yes,No,Month-to-month,No,Bank transfer (automatic),65.35,1424.4,No +2799-TSLAG,Female,0,Yes,Yes,65,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),25.3,1748.55,No +0196-VULGZ,Female,1,Yes,No,6,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,84.35,474.9,Yes +8837-VVWLQ,Female,0,No,No,8,Yes,No,Fiber optic,Yes,No,No,No,Yes,No,Month-to-month,No,Electronic check,84.95,668.4,Yes +2696-NARTR,Male,0,No,No,11,Yes,No,Fiber optic,No,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,73.85,926.25,Yes +2208-NKVVH,Male,0,Yes,Yes,43,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,24.25,1077.95,No +7614-QVWQL,Male,0,Yes,Yes,49,No,No phone service,DSL,No,Yes,No,No,Yes,Yes,One year,Yes,Bank transfer (automatic),51.8,2541.25,Yes +1976-CFOCS,Female,1,Yes,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,46,46,Yes +4631-OACRM,Male,1,No,No,15,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,79.4,1156.1,Yes +7139-JZFVG,Male,0,Yes,Yes,60,Yes,No,DSL,Yes,Yes,Yes,No,No,No,Two year,No,Bank transfer (automatic),60.5,3694.45,No +4987-GQWPO,Male,0,No,No,17,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Credit card (automatic),25.1,382.8,No +3755-JBMNH,Male,1,Yes,No,16,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),71.8,1167.8,Yes +1757-TCATG,Male,0,Yes,Yes,35,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),20.05,746.75,No +6345-ULYRW,Male,1,Yes,No,44,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,One year,No,Mailed check,88.4,3912.9,Yes +4776-XSKYQ,Female,0,Yes,Yes,12,No,No phone service,DSL,No,No,No,Yes,No,No,One year,No,Credit card (automatic),30.25,368.85,No +8048-DSDFQ,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.2,20.2,No +5753-QQWPW,Female,0,No,No,28,Yes,No,DSL,Yes,Yes,No,Yes,No,No,One year,Yes,Electronic check,59.9,1654.7,No +6010-DDPPW,Male,0,Yes,No,70,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),25.15,1940.85,No +1809-DMJHQ,Female,0,No,Yes,5,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,46,221.7,Yes +6693-FRIRW,Male,0,No,No,18,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,No,Credit card (automatic),101.3,1794.65,No +6586-MYGKD,Male,0,Yes,No,70,Yes,Yes,DSL,Yes,No,No,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),76.95,5289.8,No +3173-NVMPX,Female,0,Yes,Yes,9,Yes,Yes,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,55.3,501.2,No +0248-PGHBZ,Female,1,No,No,67,Yes,No,Fiber optic,Yes,Yes,No,Yes,Yes,No,Two year,Yes,Bank transfer (automatic),92.45,6140.85,No +0623-GDISB,Female,0,No,No,1,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),48.45,48.45,No +2892-GESUL,Female,0,Yes,Yes,18,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.35,309.25,No +6923-EFPNL,Male,0,No,No,4,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,No,Credit card (automatic),51.75,201.1,Yes +7472-EQOAV,Male,1,Yes,Yes,71,Yes,No,Fiber optic,Yes,Yes,Yes,No,No,No,One year,Yes,Bank transfer (automatic),86.7,6179.35,No +9574-RKJIF,Male,0,Yes,Yes,30,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,94.4,2838.7,Yes +2043-WVTQJ,Male,0,Yes,No,1,Yes,No,DSL,Yes,No,Yes,No,No,No,Month-to-month,No,Mailed check,55.7,55.7,No +8034-RYTVV,Female,0,No,No,55,Yes,Yes,Fiber optic,Yes,No,Yes,No,No,No,One year,Yes,Credit card (automatic),84.25,4589.85,No +3863-QSTYI,Male,0,No,No,59,Yes,No,DSL,No,No,Yes,Yes,Yes,No,Month-to-month,Yes,Electronic check,64.65,3735.45,No +2619-WFQWU,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,70.15,70.15,Yes +5044-LRQAQ,Female,0,Yes,No,7,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),69.2,477.55,No +1716-LSAMB,Male,0,Yes,Yes,45,Yes,No,DSL,Yes,No,No,Yes,No,No,Two year,No,Bank transfer (automatic),54.65,2553.7,No +1333-PBMXB,Female,0,Yes,Yes,54,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),24.75,1342.15,No +6546-OPBBH,Male,0,Yes,Yes,51,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,23.95,1216.35,No +5985-BEHZK,Female,1,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,No,Credit card (automatic),105,7578.05,No +9127-QRZMH,Male,0,Yes,No,44,Yes,No,DSL,Yes,Yes,No,Yes,No,No,One year,Yes,Bank transfer (automatic),59.85,2603.95,No +5919-VCZYM,Male,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.05,42.7,No +9644-KVCNC,Female,0,No,No,66,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,One year,Yes,Bank transfer (automatic),92.15,6056.9,No +2137-DQMEV,Male,0,Yes,Yes,68,No,No phone service,DSL,Yes,Yes,No,No,Yes,No,One year,No,Mailed check,44.8,2983.65,No +8174-LNWMW,Female,0,No,No,31,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.9,689.35,No +9279-CJEOJ,Female,1,No,No,21,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),95.4,2025.1,No +7964-VEXDG,Male,0,No,Yes,21,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,No,Electronic check,80.35,1747.2,No +2404-JIBFC,Female,0,Yes,Yes,55,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),85.1,4657.95,No +0778-NELLA,Male,0,No,No,9,No,No phone service,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),34.7,296.1,Yes +8029-XYPWT,Male,1,Yes,No,71,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),115.05,8016.6,No +4614-NUVZD,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,81.1,81.1,Yes +4632-PAOYU,Male,0,Yes,Yes,22,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.95,433.5,No +3803-KMQFW,Female,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.55,20.55,Yes +6804-GDMOI,Female,0,No,No,61,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,106.6,6428.4,Yes +2990-OGYTD,Female,0,Yes,No,67,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),86.15,5883.85,No +6646-JPPHA,Female,1,No,No,14,Yes,No,Fiber optic,Yes,Yes,No,No,No,No,Month-to-month,No,Electronic check,78.85,1043.8,No +9572-MTILT,Male,0,Yes,No,59,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,No,Month-to-month,Yes,Electronic check,106.75,6252.9,Yes +7658-UYUQS,Male,1,Yes,No,21,Yes,No,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,No,Bank transfer (automatic),86.55,1857.25,No +7880-XSOJX,Male,0,No,No,4,No,No phone service,DSL,Yes,Yes,No,Yes,No,No,Month-to-month,No,Mailed check,42.4,146.4,No +9611-CTWIH,Female,0,No,No,3,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,89.45,240.45,Yes +4589-IUAJB,Male,0,Yes,No,70,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),24.25,1724.15,No +0329-GTIAJ,Female,0,No,No,3,Yes,No,Fiber optic,No,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,97.9,315.3,Yes +8746-BFOAJ,Male,1,No,No,21,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),20.5,429.55,No +8457-XIGKN,Male,0,No,No,20,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),19.6,356.15,No +6072-NUQCB,Male,0,Yes,Yes,22,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),20.25,488.25,No +6629-CZTTH,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Mailed check,55.7,55.7,Yes +8838-GPHZP,Female,0,No,No,63,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,20.6,1298.7,No +8750-QWZAJ,Female,0,Yes,Yes,70,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.8,1378.75,No +5364-EVNIB,Male,0,No,No,13,Yes,No,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,79.8,973.45,Yes +6918-UMQCG,Female,0,No,No,5,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,No,Electronic check,80.2,384.25,No +0675-NCDYU,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),116.4,8543.25,No +6339-DKLMK,Female,0,No,No,13,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,31.65,389.95,No +1346-PJWTK,Male,0,Yes,No,61,Yes,No,Fiber optic,No,Yes,Yes,Yes,No,Yes,Month-to-month,No,Credit card (automatic),94.15,5731.85,No +5088-QZLRL,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,20.65,20.65,No +8023-QHAIO,Female,1,Yes,No,56,Yes,Yes,Fiber optic,No,No,No,Yes,No,No,Month-to-month,Yes,Bank transfer (automatic),76.85,4275.75,No +4397-FRLTA,Female,0,No,No,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.15,84.5,No +3057-VJJQE,Male,0,No,No,35,Yes,Yes,DSL,Yes,No,No,No,No,No,Two year,No,Mailed check,55.25,1924.1,No +5087-SUURX,Female,0,Yes,No,18,No,No phone service,DSL,No,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,39.05,669.85,Yes +2302-OUZXB,Male,0,Yes,No,72,Yes,Yes,DSL,No,Yes,Yes,No,Yes,Yes,Two year,No,Bank transfer (automatic),82.15,5784.3,No +8133-ANHHJ,Female,1,No,No,49,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,Yes,One year,No,Bank transfer (automatic),103,5166.2,No +2270-CHBFN,Female,0,Yes,No,44,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,No,Month-to-month,Yes,Credit card (automatic),95.1,4060.55,No +0013-EXCHZ,Female,1,Yes,No,3,Yes,No,Fiber optic,No,No,No,Yes,Yes,No,Month-to-month,Yes,Mailed check,83.9,267.4,Yes +5982-FPVQN,Female,0,Yes,Yes,37,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,95.15,3532.85,No +9107-UKCKY,Male,0,Yes,No,61,Yes,Yes,DSL,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,79.8,4914.8,No +4654-ULTTN,Male,0,Yes,No,70,Yes,Yes,DSL,Yes,No,Yes,Yes,No,Yes,Two year,Yes,Credit card (automatic),74.8,5315.8,No +5550-VFRLC,Female,1,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.85,69.85,Yes +5546-BYZSM,Female,0,No,No,41,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,20.45,775.6,No +1492-KGETH,Male,0,Yes,Yes,70,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,One year,No,Bank transfer (automatic),78.35,5445.95,No +4929-BSTRX,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Mailed check,53.55,53.55,Yes +4163-HFTUK,Male,0,No,No,51,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Electronic check,19.1,1007.8,No +8215-NGSPE,Female,0,Yes,Yes,42,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20,833.55,No +2225-ZRGSG,Female,0,Yes,Yes,70,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,No,Two year,No,Bank transfer (automatic),93.9,6579.05,Yes +8859-YSTWS,Male,0,No,No,48,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),19.95,1004.5,No +5271-YNWVR,Male,0,Yes,Yes,68,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,113.15,7856,Yes +7601-DHFWZ,Female,0,No,No,48,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),24,1183.05,No +2657-ALMWY,Female,1,Yes,No,26,Yes,No,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,No,Electronic check,84.95,2169.75,Yes +6330-JKLPC,Male,0,Yes,No,11,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),80.5,896.9,Yes +4667-OHGKG,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.3,19.3,Yes +1998-VHJHK,Female,0,No,No,27,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.15,501.35,No +1707-HABPF,Female,1,No,No,46,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,No,One year,Yes,Bank transfer (automatic),91.3,4126.35,No +1660-HSOOQ,Male,0,No,No,1,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Mailed check,49.65,49.65,Yes +7253-UVNDW,Female,0,No,No,46,Yes,No,DSL,No,No,Yes,Yes,No,No,Two year,No,Credit card (automatic),54.35,2460.15,Yes +0487-VVUVK,Male,0,Yes,Yes,25,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.15,477.6,No +7228-OMTPN,Male,0,No,No,4,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,88.45,370.65,Yes +5063-IUOKK,Male,0,No,No,13,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.75,265.75,No +4508-OEBEY,Male,0,Yes,No,31,Yes,No,DSL,Yes,Yes,Yes,Yes,No,Yes,One year,Yes,Credit card (automatic),75.5,2424.45,No +0027-KWYKW,Female,0,Yes,Yes,23,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,83.75,1849.95,No +2308-STERM,Female,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.4,61.05,No +5982-XMDEX,Female,0,No,No,65,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),26.5,1698.55,No +6284-AHOOQ,Male,1,No,No,22,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,No,Month-to-month,Yes,Bank transfer (automatic),90.5,1910.6,Yes +6051-PTVNS,Female,0,Yes,Yes,55,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.15,998.1,No +2344-JMOGN,Male,0,Yes,No,9,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,No,Month-to-month,Yes,Mailed check,94.85,890.6,Yes +3799-ISUZQ,Male,0,Yes,Yes,7,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),69.95,529.5,Yes +2877-VDUER,Female,0,Yes,Yes,35,No,No phone service,DSL,No,No,No,Yes,Yes,No,One year,No,Mailed check,40.9,1383.6,No +9152-AMKAK,Male,0,No,No,6,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Mailed check,80.25,493.4,No +1794-HBQTJ,Female,0,No,No,1,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),48.6,48.6,Yes +9432-VOFYX,Male,0,No,No,17,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.8,1207,No +8049-WJCLQ,Male,0,Yes,Yes,10,Yes,No,DSL,No,No,Yes,No,Yes,No,Month-to-month,No,Mailed check,60.2,563.5,No +6586-PSJOX,Male,0,No,Yes,15,Yes,No,DSL,No,No,Yes,Yes,No,No,One year,No,Credit card (automatic),55.2,864.55,No +2460-FPSYH,Female,1,No,No,40,No,No phone service,DSL,Yes,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,55.8,2109.35,Yes +9705-ZJBCG,Female,0,Yes,Yes,13,Yes,No,DSL,Yes,No,No,Yes,No,No,One year,No,Bank transfer (automatic),54.15,701.05,No +4818-DRBQT,Male,0,Yes,No,29,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),80.15,2265.25,Yes +1320-HTRDR,Female,0,No,No,3,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.5,220.6,Yes +6847-KJLTS,Female,1,Yes,No,58,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),100.4,5749.8,No +9670-BPNXF,Female,0,No,No,45,Yes,No,DSL,Yes,Yes,No,Yes,No,No,One year,Yes,Credit card (automatic),62.55,2796.45,No +3913-FCUUW,Female,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,No,Two year,Yes,Bank transfer (automatic),70.45,5165.7,No +3301-VKTGC,Male,0,Yes,Yes,68,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,No,One year,Yes,Bank transfer (automatic),85.5,5696.6,No +1493-AMTIE,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Bank transfer (automatic),20.2,20.2,Yes +9555-SAHUZ,Female,0,Yes,Yes,38,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,No,Electronic check,54.5,2076.05,No +0816-TSPHQ,Male,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.75,44.2,No +9932-WBWIK,Male,0,No,No,11,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.35,215.25,No +4619-EVPHY,Female,1,Yes,No,20,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,One year,Yes,Bank transfer (automatic),91,1859.5,No +5286-YHCVC,Male,0,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),104.8,7470.1,No +6424-ELEYH,Female,0,Yes,No,3,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),74.75,229.5,Yes +4391-RESHN,Male,0,No,No,23,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Mailed check,104.05,2470.1,Yes +9115-YQHGA,Male,0,No,No,40,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,51.1,2092.9,No +4462-CYWMH,Male,1,Yes,No,62,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),89.8,5629.55,No +8963-MQVYN,Female,0,No,Yes,22,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,20.55,469.85,No +2458-EOMRE,Female,0,No,No,11,Yes,No,DSL,Yes,No,Yes,No,No,Yes,Month-to-month,No,Bank transfer (automatic),64.05,733.95,No +9334-GWGOW,Male,1,Yes,No,7,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.85,485.25,No +6821-BUXUX,Female,0,No,No,13,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,96.65,1244.5,Yes +5028-HTLJB,Male,1,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.05,20.05,Yes +9801-GDWGV,Female,0,No,No,39,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,103.45,3994.45,Yes +6542-LWGXJ,Male,0,Yes,No,3,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,25,78.25,No +5567-GZKQY,Male,0,No,No,58,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.3,1131.5,No +1222-LRYKO,Male,0,No,Yes,6,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,26.35,184.05,No +2320-JRSDE,Female,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,19.9,19.9,Yes +2087-QAREY,Female,0,Yes,No,22,Yes,No,DSL,No,Yes,Yes,No,No,No,Month-to-month,Yes,Mailed check,54.7,1178.75,No +0601-WZHJF,Male,0,Yes,No,14,No,No phone service,DSL,No,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,46.35,667.7,Yes +4423-JWZJN,Male,0,Yes,Yes,64,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,One year,No,Credit card (automatic),90.25,5629.15,No +5143-WMWOG,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,19.95,19.95,Yes +6490-FGZAT,Male,0,No,No,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.65,109.3,No +5393-RXQSZ,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,79.6,79.6,Yes +7452-FOLON,Male,0,No,Yes,39,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),25.45,958.45,No +2320-TZRRH,Female,0,No,No,20,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.5,403.15,No +0231-LXVAP,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,75.9,75.9,Yes +9444-JTXHZ,Male,0,Yes,No,1,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,No,Electronic check,76.2,76.2,Yes +4942-VZZOM,Male,0,Yes,No,64,Yes,Yes,DSL,Yes,No,No,No,Yes,No,One year,Yes,Credit card (automatic),66.15,4392.5,No +5510-BOIUJ,Male,0,No,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.25,19.25,Yes +7502-BNYGS,Female,0,Yes,No,46,Yes,No,DSL,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),69.1,3168,No +4291-HYEBC,Female,1,Yes,Yes,28,No,No phone service,DSL,No,Yes,No,No,No,Yes,One year,Yes,Electronic check,39.1,1096.6,No +6147-CBCRA,Female,0,Yes,No,33,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.05,669.45,No +6047-SUHPR,Male,0,Yes,Yes,39,Yes,No,DSL,Yes,Yes,Yes,No,No,No,One year,No,Electronic check,59.8,2343.85,No +4471-KXAUH,Female,0,Yes,No,42,Yes,Yes,Fiber optic,No,No,Yes,Yes,No,No,Month-to-month,Yes,Electronic check,84.3,3588.4,Yes +9752-ZNQUT,Female,0,No,No,1,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,48.6,48.6,No +7638-QVMVY,Female,0,No,No,7,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,79,522.95,Yes +1576-PFZIW,Male,1,Yes,No,70,Yes,No,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Two year,No,Credit card (automatic),105.35,7511.9,No +5666-MBJPT,Male,0,No,No,65,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),25.1,1725,No +7312-XSBAT,Male,0,No,No,1,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,No,Electronic check,49.75,49.75,No +3096-GKWEB,Male,0,Yes,No,18,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.75,1691.9,No +2371-JQHZZ,Male,0,Yes,No,24,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,93,2248.05,No +0674-GCDXG,Male,0,No,No,63,Yes,Yes,DSL,Yes,No,Yes,Yes,No,Yes,Two year,Yes,Bank transfer (automatic),71.9,4479.2,No +1121-QSIVB,Female,0,No,Yes,44,Yes,Yes,DSL,No,Yes,No,No,Yes,Yes,One year,Yes,Mailed check,77.55,3471.1,No +4396-KLSEH,Male,0,No,No,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,19.85,63,No +3244-DCJWY,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.25,70.25,Yes +2824-MYYBN,Female,0,Yes,Yes,37,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.25,3314.15,No +0875-CABNR,Female,1,No,No,10,Yes,No,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Credit card (automatic),84.6,865.55,Yes +6345-HOVES,Male,0,No,No,34,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),25.05,852.7,No +8318-LCNBW,Male,0,Yes,No,35,No,No phone service,DSL,Yes,No,Yes,No,Yes,Yes,One year,No,Credit card (automatic),53.15,1930.9,No +6469-QJKZW,Female,0,Yes,No,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,20.15,91.4,No +0147-ESWWR,Female,1,Yes,No,39,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,101.25,3949.15,No +1217-VASWC,Male,1,Yes,No,43,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),100.55,4304,No +7812-FZHPE,Female,0,Yes,Yes,17,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,24.1,409.9,Yes +6370-ZVHDV,Female,0,Yes,No,61,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),25.3,1554.9,No +5915-DGNVC,Female,0,Yes,No,49,Yes,Yes,DSL,Yes,Yes,Yes,No,No,Yes,One year,No,Electronic check,71.8,3472.05,No +6260-XLACS,Male,0,No,No,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.7,117.8,No +3566-CAAYU,Female,0,Yes,Yes,64,No,No phone service,DSL,No,Yes,Yes,Yes,No,Yes,Two year,No,Electronic check,49.85,3210.35,No +4983-CCWMC,Male,0,No,No,3,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,69.6,207.4,No +9103-CXVOK,Male,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,19.75,19.75,No +2896-TBNBE,Male,0,Yes,No,40,Yes,No,Fiber optic,No,Yes,Yes,No,No,No,One year,No,Electronic check,80.8,3132.75,No +4797-AXPXK,Female,0,No,Yes,1,Yes,No,DSL,Yes,Yes,No,Yes,No,No,Month-to-month,Yes,Electronic check,60,60,Yes +5229-PRWKT,Male,0,No,No,8,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,86.55,649.65,Yes +6982-UQZLY,Female,1,Yes,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.85,20.85,Yes +2522-WLNSF,Female,1,Yes,No,34,Yes,No,DSL,No,No,Yes,Yes,Yes,No,One year,No,Bank transfer (automatic),64.2,2106.3,No +3841-CONLJ,Female,0,Yes,No,1,No,No phone service,DSL,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,35,35,No +5057-LCOUI,Female,0,No,No,39,No,No phone service,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,50.75,2011.4,Yes +0193-ESZXP,Female,1,Yes,No,58,Yes,No,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,One year,Yes,Credit card (automatic),105.5,6205.5,Yes +4475-NVTLU,Male,0,Yes,Yes,45,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Electronic check,19.2,903.7,No +4369-HTUIF,Male,1,No,No,6,Yes,No,Fiber optic,Yes,No,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),85.15,503.6,Yes +9386-LDCZR,Male,0,No,No,43,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,No,No,One year,Yes,Credit card (automatic),90.65,3882.3,No +9585-KKMFD,Male,0,Yes,Yes,41,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,20,879.8,No +5399-ZIMKF,Male,0,No,No,5,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,74.65,383.65,No +0336-KXKFK,Male,0,No,No,72,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),61.2,4390.25,No +5619-XZZKR,Male,0,No,No,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.95,68.2,No +3948-FVVRP,Male,0,Yes,Yes,9,Yes,No,DSL,No,Yes,No,Yes,No,No,Month-to-month,No,Mailed check,54.8,452.8,No +5327-XOKKY,Male,1,Yes,No,72,Yes,Yes,DSL,No,No,Yes,No,Yes,Yes,Two year,Yes,Credit card (automatic),73.45,5329,No +0983-TATYJ,Female,0,Yes,No,33,Yes,No,DSL,No,No,No,Yes,No,No,One year,Yes,Mailed check,51.45,1758.9,No +1813-JYWTO,Female,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Two year,No,Bank transfer (automatic),80.45,5737.6,No +0156-FVPTA,Male,0,Yes,No,22,Yes,No,DSL,Yes,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,54.2,1152.7,Yes +1984-FCOWB,Female,0,Yes,No,70,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,109.5,7674.55,Yes +0654-HMSHN,Male,0,Yes,Yes,21,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,No,Electronic check,104.4,2157.95,Yes +6719-OXYBR,Male,0,No,No,15,Yes,No,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,No,Electronic check,85.3,1219.85,No +3312-ZWLGF,Male,1,Yes,No,29,Yes,Yes,Fiber optic,No,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,79.3,2414.55,No +6476-YHMGA,Female,0,Yes,Yes,15,Yes,No,DSL,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,No,Bank transfer (automatic),76.5,1155.6,No +5287-QWLKY,Male,1,Yes,Yes,71,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),105.1,7548.1,Yes +0795-XCCTE,Male,1,No,No,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),25.4,1809.35,No +0168-XZKBB,Female,0,Yes,No,19,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,86.85,1564.4,No +3785-NRHYR,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.65,19.65,No +5196-SGOAK,Female,0,No,No,1,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,75.7,75.7,Yes +4537-DKTAL,Female,0,No,No,2,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,45.55,84.4,No +7072-MBHEV,Female,1,Yes,Yes,11,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),78.1,864.85,No +5602-BVFMK,Female,0,No,No,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.3,228.75,No +6297-NOOPG,Female,0,Yes,No,70,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,110.5,7752.05,No +1891-UAWWU,Female,1,Yes,No,20,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,No,Electronic check,90.8,1951,Yes +8204-TIFGJ,Female,0,No,No,23,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Bank transfer (automatic),20.3,470.6,No +8050-DVOJX,Male,1,No,No,49,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,No,Credit card (automatic),81.35,4060.9,No +6108-OQZDQ,Female,0,Yes,Yes,4,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,97.95,384.5,Yes +0363-QJVFX,Male,0,No,No,32,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),108.15,3432.9,Yes +8903-XEBGX,Male,0,No,Yes,2,Yes,No,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,55.3,108.65,No +8169-SAEJD,Male,1,Yes,No,69,No,No phone service,DSL,Yes,Yes,No,No,Yes,Yes,Two year,No,Credit card (automatic),56.55,3952.65,No +9840-DVNDC,Male,0,No,No,6,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),80.5,463.05,Yes +1089-XZWHH,Female,0,Yes,Yes,24,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,19.7,494.05,No +2325-WINES,Female,0,No,No,32,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),104.05,3416.85,No +6064-ZATLR,Female,0,No,No,27,Yes,No,DSL,Yes,Yes,No,No,No,No,Two year,No,Bank transfer (automatic),52.85,1498.65,No +3096-JRDSO,Female,1,Yes,No,27,Yes,Yes,Fiber optic,Yes,No,No,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),104.3,2867.75,Yes +7824-PANSQ,Male,0,No,No,58,Yes,Yes,Fiber optic,No,No,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),80.65,4807.35,No +8042-JVNFH,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,71.35,71.35,Yes +9648-BCHKM,Female,0,Yes,Yes,18,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),24.65,471.35,No +2888-ADFAO,Female,0,Yes,Yes,47,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),21.3,1041.8,No +8707-HOEDG,Female,0,Yes,Yes,70,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,110.2,7689.8,No +3374-LXDEV,Female,0,No,No,13,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,No,No,Month-to-month,No,Electronic check,89.4,1132.35,Yes +4072-IPYLT,Female,0,Yes,Yes,36,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,No,Credit card (automatic),51.05,1815,No +7167-PCEYD,Male,0,No,No,67,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,19.8,1311.3,No +4936-YPJNK,Female,0,No,No,10,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.9,199.45,No +1580-BMCMR,Male,1,No,No,19,Yes,No,Fiber optic,Yes,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,87.3,1637.3,No +4817-KEQSP,Female,0,Yes,Yes,71,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.85,1326.35,No +6408-WHTEF,Male,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Mailed check,89.4,6376.55,No +9251-AWQGT,Female,0,Yes,Yes,48,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20,935.9,No +8749-CLJXC,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.05,20.05,No +7989-VCQOH,Male,0,Yes,Yes,18,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,Month-to-month,No,Electronic check,83.25,1611.15,No +5049-GLYVG,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.6,20.6,Yes +4199-QHJNM,Male,1,Yes,No,67,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),102.9,6989.7,No +8882-TLVRW,Male,0,Yes,Yes,69,No,No phone service,DSL,Yes,No,Yes,Yes,No,No,Two year,No,Mailed check,39.1,2779.5,No +5883-GTGVD,Male,0,No,No,19,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.95,1931.75,Yes +5135-GRQJV,Male,1,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Mailed check,114.5,8331.95,No +2384-OVPSA,Female,1,No,No,38,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.2,735.9,No +1371-WEPDS,Male,1,Yes,No,40,Yes,No,DSL,No,No,No,No,No,Yes,One year,No,Electronic check,55.8,2283.3,No +3580-GICBM,Female,0,Yes,Yes,61,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,24.2,1445.2,No +4817-QRJSX,Female,0,No,No,10,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),81,818.05,Yes +9730-DRTMJ,Male,0,Yes,No,32,Yes,Yes,DSL,Yes,No,No,Yes,Yes,No,One year,Yes,Credit card (automatic),72.8,2333.05,No +4686-UXDML,Female,0,No,No,21,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),99.85,1992.55,No +3349-ANQNH,Female,1,No,No,59,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,99.5,5890,No +2398-YPMUR,Female,1,Yes,No,13,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.15,916.75,Yes +0932-YIXYU,Female,0,No,No,47,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.25,1029.8,No +7480-SPLEF,Male,0,Yes,Yes,69,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),26,1796.55,No +7636-XUHWW,Male,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),19.9,33.7,No +1431-CYWMH,Female,0,Yes,Yes,22,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),19.05,454.05,No +5937-EORGB,Male,1,Yes,No,15,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,96.5,1392.25,No +6349-JDHQP,Female,0,No,No,53,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.85,1049.6,No +5539-HIVAK,Female,1,Yes,No,28,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,25.7,734.6,No +5847-MXBEO,Male,0,No,No,22,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.3,475.1,No +9985-MWVIX,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,70.15,70.15,Yes +4583-PARNH,Male,1,Yes,No,16,Yes,No,Fiber optic,No,No,Yes,Yes,No,Yes,Month-to-month,Yes,Electronic check,91.55,1540.05,No +1116-FRYVH,Female,0,Yes,Yes,48,No,No phone service,DSL,Yes,Yes,No,Yes,No,No,Two year,No,Mailed check,39.4,1978.65,No +1421-HCERK,Male,1,Yes,No,30,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,No,Month-to-month,Yes,Bank transfer (automatic),105.7,3181.8,No +9633-XQABV,Female,0,No,No,3,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.25,229.7,No +0716-BQNDX,Male,1,No,No,57,Yes,Yes,Fiber optic,Yes,No,No,Yes,No,Yes,Two year,No,Electronic check,93.75,5625.55,No +1265-XTECC,Female,1,Yes,No,68,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,Yes,One year,Yes,Credit card (automatic),96.55,6581.9,Yes +1183-CANVH,Female,0,Yes,No,23,Yes,No,DSL,No,No,No,Yes,Yes,No,One year,No,Bank transfer (automatic),60,1347.15,No +1972-XMUWV,Female,0,Yes,No,65,Yes,No,DSL,No,No,No,Yes,Yes,No,Two year,Yes,Credit card (automatic),59.8,3808.2,No +8679-LZBMD,Male,0,Yes,No,44,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,One year,Yes,Bank transfer (automatic),90.65,3974.15,No +3407-JMJQQ,Female,0,Yes,Yes,71,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),109,7661.8,No +6252-DFGTK,Female,0,Yes,No,37,Yes,Yes,DSL,Yes,No,Yes,Yes,No,No,One year,No,Credit card (automatic),68.1,2479.25,No +1539-LNKHM,Female,0,No,No,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.4,266.6,No +8645-KOMJQ,Male,0,Yes,Yes,69,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),81.95,5601.4,No +0289-IVARM,Female,0,No,No,35,Yes,No,DSL,Yes,Yes,Yes,No,No,No,Month-to-month,No,Electronic check,60.55,1982.6,No +9761-XUJWD,Male,0,No,No,5,Yes,No,DSL,No,Yes,No,Yes,No,Yes,Month-to-month,Yes,Bank transfer (automatic),65.6,339.9,No +4057-FKCZK,Male,0,Yes,Yes,58,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Two year,No,Bank transfer (automatic),82.5,4828.05,No +4291-TPNFG,Male,0,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,Yes,Bank transfer (automatic),82.3,5980.55,No +6087-YPWHO,Male,0,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,No,Two year,No,Mailed check,68.15,4808.7,No +3090-QFUVD,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),20.3,20.3,No +2237-ZFSMY,Female,0,No,No,39,Yes,No,Fiber optic,Yes,No,Yes,Yes,Yes,No,One year,Yes,Electronic check,95.55,3692.85,Yes +1722-LDZJS,Male,0,Yes,Yes,53,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),20.2,1068.15,No +1818-ESQMW,Female,0,No,No,27,Yes,No,Fiber optic,No,No,Yes,Yes,No,Yes,Month-to-month,Yes,Electronic check,89.2,2383.6,No +4871-JTKJF,Female,1,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.65,69.65,Yes +1415-YFWLT,Female,1,No,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,89.3,89.3,Yes +7401-RUBNK,Female,0,Yes,No,18,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,No,Electronic check,74.8,1438.05,No +0506-YLVKJ,Male,0,Yes,Yes,46,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,20.2,917.45,No +8661-BOYNW,Female,0,Yes,No,72,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),84.4,6096.45,No +6711-VTNRE,Female,0,No,No,36,Yes,No,Fiber optic,No,No,Yes,Yes,No,Yes,Month-to-month,Yes,Electronic check,87.55,3078.1,Yes +4815-GBTCD,Female,0,Yes,No,4,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,25.15,99.95,No +2805-AUFQN,Female,0,No,No,25,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.8,475.2,No +0980-PVMRC,Female,0,Yes,Yes,40,No,No phone service,DSL,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,50.85,2036.55,No +7233-DRTRF,Male,0,Yes,No,63,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,102.4,6444.05,No +3500-RMZLT,Female,1,No,No,15,Yes,No,Fiber optic,Yes,No,Yes,Yes,No,Yes,Month-to-month,Yes,Mailed check,96.3,1426.75,Yes +3873-NFTGI,Male,0,No,No,14,Yes,Yes,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),55.5,767.55,No +1162-ECVII,Male,1,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),109.75,7932.5,No +7048-GXDAY,Male,0,No,No,39,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,106.4,4040.65,No +8571-ZCMCX,Female,0,Yes,Yes,47,No,No phone service,DSL,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Credit card (automatic),60,2768.65,No +1169-WCVAK,Male,0,Yes,No,19,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,No,No,Month-to-month,Yes,Credit card (automatic),88.8,1672.35,No +4548-SDBKE,Female,0,No,No,5,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,85.2,474.8,Yes +8066-POXGX,Female,0,No,No,13,No,No phone service,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,35.1,446.1,Yes +7129-CAKJW,Female,0,No,No,17,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,No,Bank transfer (automatic),80.05,1345.65,No +8695-ARGXZ,Male,1,Yes,No,34,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.55,2425.4,No +3570-YUEKJ,Female,0,No,No,42,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,49.55,2077.95,No +4143-OOBWZ,Male,0,Yes,No,5,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,81.3,416.3,Yes +1555-HAPSU,Female,0,Yes,Yes,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),23.9,1663.5,No +1697-NVVGY,Male,1,Yes,No,19,Yes,No,DSL,Yes,No,Yes,No,Yes,No,Month-to-month,No,Bank transfer (automatic),66.4,1286.05,No +7854-EKTJL,Female,0,No,Yes,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,19.6,35.85,Yes +8464-EETCQ,Male,0,No,No,57,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),18.8,1094.35,No +2419-FSORS,Male,0,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,108.4,7719.5,No +8132-YPVBX,Female,0,No,No,6,Yes,No,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Mailed check,85.95,514.6,No +9102-IAYHT,Female,0,Yes,Yes,17,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,85.45,1451.6,Yes +6754-LZUKA,Male,0,Yes,No,61,Yes,Yes,DSL,No,Yes,Yes,No,Yes,Yes,Two year,No,Bank transfer (automatic),80.9,4932.5,No +3422-LYEPQ,Male,0,Yes,Yes,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,71,71,Yes +8099-MZPUJ,Male,0,Yes,Yes,48,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),111.8,5443.65,No +0787-LHDYT,Male,0,No,No,16,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),20.6,330.25,No +2642-DTVCO,Male,1,No,No,9,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,85.05,746.5,Yes +0374-IOEGQ,Female,0,No,No,3,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,44.6,122.7,No +4361-JEIVL,Male,0,No,Yes,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,44.4,44.4,Yes +3197-NNYNB,Male,0,No,No,65,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Two year,No,Credit card (automatic),105.1,6631.85,No +3396-DKDEL,Female,0,Yes,Yes,70,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),115.15,8250,No +1752-OZXFY,Male,0,Yes,No,60,Yes,No,DSL,Yes,No,No,No,Yes,No,One year,Yes,Mailed check,59.8,3561.15,No +9066-QRSDU,Female,0,Yes,No,69,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Electronic check,26.3,1763.55,No +9112-WSNPU,Female,1,No,No,35,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,70.55,2419,No +9867-NNXLC,Female,0,No,No,22,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.05,470.2,No +5321-NTRKC,Male,0,Yes,Yes,66,Yes,Yes,DSL,No,Yes,Yes,No,Yes,Yes,Two year,No,Bank transfer (automatic),79.85,5234.95,No +1363-TXLSL,Male,1,Yes,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.3,70.3,Yes +9507-EXLTT,Female,0,Yes,No,1,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),79.35,79.35,Yes +3161-GETRM,Male,0,Yes,Yes,34,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Credit card (automatic),90.05,3097,No +0402-OAMEN,Female,0,Yes,Yes,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),24.45,1709.1,No +6933-VLYFX,Male,0,Yes,Yes,31,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,Yes,One year,No,Electronic check,59.95,1848.8,No +6754-WKSHP,Male,0,No,Yes,30,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),25.35,723.3,No +9846-GKXAS,Female,0,No,No,9,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),90.8,809.75,Yes +6017-PPLPX,Male,0,Yes,Yes,20,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.45,1470.95,Yes +4976-LNFVV,Male,1,Yes,No,19,No,No phone service,DSL,No,Yes,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),34.3,577.15,No +5055-MGMGF,Female,0,Yes,No,65,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,105.05,6914.95,No +4641-FROLU,Female,0,Yes,Yes,30,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.3,602.9,No +2862-JVEOY,Male,0,No,No,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.15,124.4,No +2969-QWUBZ,Female,0,No,No,2,No,No phone service,DSL,No,Yes,No,No,Yes,Yes,Month-to-month,No,Electronic check,51.4,96.8,No +9822-BIIGN,Male,0,Yes,Yes,53,Yes,Yes,DSL,Yes,No,No,Yes,No,Yes,Month-to-month,No,Electronic check,71.85,3827.9,No +2077-MPJQO,Male,1,Yes,No,7,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.4,533.05,No +1534-OULXE,Female,0,Yes,Yes,61,Yes,No,DSL,Yes,No,No,No,No,No,One year,Yes,Bank transfer (automatic),49.7,2961.4,No +7136-RVDTZ,Male,1,No,No,70,No,No phone service,DSL,No,No,No,No,Yes,Yes,One year,Yes,Electronic check,45.25,3264.45,Yes +2971-SGAFL,Female,0,No,No,13,Yes,Yes,DSL,Yes,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,78.75,995.35,No +1480-IVEVR,Male,1,Yes,No,35,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,One year,Yes,Bank transfer (automatic),81.6,2815.25,No +2905-KFQUV,Female,0,Yes,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),70.4,154.8,No +4581-SSPWD,Female,0,No,No,3,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.8,246.3,Yes +3370-HXOPH,Female,0,No,No,3,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,76.1,257.6,No +9391-YZEJW,Female,0,No,No,62,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,One year,Yes,Bank transfer (automatic),94,5757.2,No +9958-MEKUC,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,Yes,Two year,No,Credit card (automatic),103.95,7517.7,No +0281-CNTZX,Male,0,Yes,No,63,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),19.95,1234.8,No +6927-WTFIV,Male,1,No,No,20,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Credit card (automatic),71.3,1389.2,Yes +4118-CEVPF,Female,1,No,No,35,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),110.8,3836.3,No +3398-ZOUAA,Male,1,Yes,No,21,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.1,1474.75,Yes +9114-VEPUF,Male,0,Yes,No,62,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,Yes,One year,No,Electronic check,96.1,6001.45,No +7876-BEUTG,Female,0,No,No,15,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,48.8,720.1,No +2338-BQEZT,Female,0,No,No,55,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),50.55,2832.75,No +9873-MNDKV,Female,0,No,No,11,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,44.65,472.25,No +0378-NHQXU,Female,0,Yes,Yes,17,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,No,Electronic check,88.25,1460.65,Yes +8241-JUIQO,Female,0,No,No,61,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),19.45,1336.35,No +2194-IIQOF,Female,0,Yes,No,71,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),89.3,6388.65,No +4512-ZUIYL,Female,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),70,153.05,Yes +9631-RXVJM,Male,0,No,No,35,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.25,677.9,No +9584-EXCDZ,Female,0,No,No,17,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),70.5,1165.6,No +7969-AULMZ,Female,0,No,No,21,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,97.35,2119.5,Yes +5093-FEGLU,Female,0,Yes,No,47,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.65,921.55,No +2621-UDNLU,Female,0,Yes,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.85,72,No +7526-IVLYU,Male,0,No,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.65,68.35,No +2428-HYUNX,Male,1,Yes,No,44,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),19.35,847.25,No +9214-EKVXR,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,44,44,No +3410-MHHUM,Female,0,Yes,Yes,44,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,One year,No,Electronic check,94.4,4295.35,No +0568-ONFPC,Male,0,Yes,Yes,5,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Bank transfer (automatic),25.9,135,Yes +0733-VUNUW,Male,0,No,No,24,Yes,Yes,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),55.65,1400.55,Yes +4550-EVXNY,Female,0,No,Yes,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.65,69.65,Yes +2122-YWVYA,Female,0,No,No,18,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.4,1380.4,No +2968-SSGAA,Female,0,No,No,10,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.6,1060.2,Yes +2296-DKZFP,Female,0,Yes,No,65,Yes,No,DSL,Yes,Yes,Yes,No,No,Yes,Two year,No,Bank transfer (automatic),71,4386.2,No +4844-JJWUY,Female,1,No,No,1,Yes,No,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,86,86,Yes +6777-TGHTM,Female,0,No,No,53,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),106.95,5785.5,Yes +8909-BOLNL,Male,0,No,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,21.2,52.05,No +6603-YRDCJ,Male,0,Yes,No,33,Yes,No,DSL,Yes,Yes,No,Yes,No,No,Two year,Yes,Mailed check,61.05,2018.4,No +3538-WZPHD,Male,0,No,No,3,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,29.6,79.45,Yes +3229-USWAR,Female,0,No,No,34,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),79.95,2727.3,No +2138-VFAPZ,Female,0,Yes,Yes,14,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,19.7,263.65,No +6131-JLWZM,Female,0,No,No,13,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.3,275.4,No +4785-QRJHC,Male,1,Yes,No,46,No,No phone service,DSL,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),59.9,2816.65,Yes +0269-XFESX,Male,0,Yes,Yes,23,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,24.35,538.5,No +1709-EJDOX,Female,0,Yes,Yes,47,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.75,948.9,No +4316-XCSLJ,Male,0,No,Yes,17,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Mailed check,50.3,846.8,No +8610-WFCJF,Female,0,Yes,Yes,49,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.6,4783.5,Yes +9693-XMUOB,Male,1,Yes,No,59,No,No phone service,DSL,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,50.25,2997.45,No +0383-CLDDA,Female,0,No,No,69,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),85.35,5897.4,No +4905-JEFDW,Male,0,No,No,11,No,No phone service,DSL,No,No,Yes,No,Yes,No,One year,Yes,Electronic check,41.6,470.6,Yes +2709-UQGNP,Male,0,No,No,10,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Mailed check,51.65,524.5,No +3549-ZTMNH,Male,0,Yes,Yes,12,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),24,269.65,No +7881-INRLC,Male,0,No,No,45,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),100.85,4740,Yes +8033-ATFAS,Female,0,Yes,Yes,39,Yes,No,DSL,No,No,Yes,No,Yes,No,Month-to-month,Yes,Mailed check,59.85,2341.5,No +1635-NZATJ,Male,1,Yes,No,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.45,1789.65,No +0562-HKHML,Male,0,Yes,Yes,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),23.9,1626.4,No +8277-RVRSV,Female,0,Yes,Yes,33,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),24.15,800.3,No +9943-VSZUV,Male,1,No,No,67,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,75.7,5060.85,No +0117-LFRMW,Male,0,Yes,Yes,37,No,No phone service,DSL,Yes,Yes,Yes,No,No,No,Month-to-month,No,Bank transfer (automatic),40.2,1448.8,Yes +6172-FECYY,Male,0,Yes,Yes,49,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,No,Electronic check,84.5,4254.85,Yes +7054-ENNGU,Female,0,Yes,No,9,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,No,Mailed check,50.85,466.6,No +1455-HFBXA,Male,0,Yes,No,52,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,No,No,Two year,Yes,Credit card (automatic),91.6,4627.8,No +9402-CXWPL,Female,0,No,No,70,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,One year,No,Electronic check,98.9,6838.6,No +1628-BIZYP,Male,0,No,No,1,Yes,No,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,85,85,No +1965-AKTSX,Female,1,No,No,14,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,78.95,1101.85,Yes +0082-LDZUE,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,44.3,44.3,No +4786-UKSNZ,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.2,20.2,Yes +5343-SGUBI,Female,0,No,No,52,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,One year,Yes,Mailed check,80.2,4297.6,No +0856-NAOES,Male,0,No,No,6,Yes,No,DSL,No,No,Yes,No,Yes,No,Month-to-month,No,Mailed check,60.9,414.1,No +1976-AZZPJ,Male,0,Yes,No,7,No,No phone service,DSL,Yes,Yes,No,No,No,No,Month-to-month,No,Mailed check,34.2,256.6,No +7248-VZQLC,Female,1,No,No,47,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),85.2,3969.35,Yes +6156-UZDLF,Female,0,No,No,26,Yes,No,Fiber optic,Yes,No,Yes,Yes,No,No,One year,Yes,Credit card (automatic),87.15,2274.1,No +3099-OONVS,Male,0,Yes,Yes,25,Yes,No,DSL,Yes,No,No,Yes,No,No,Month-to-month,No,Electronic check,54.3,1296.8,No +9500-WBGRP,Male,0,No,No,69,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,19.1,1268.85,No +5183-KLYEM,Female,0,No,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),112.75,8192.6,No +5144-PQCDZ,Male,0,No,No,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.95,59.25,No +8514-VZHEB,Male,0,Yes,Yes,59,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.5,1147.85,No +6625-IUTTT,Male,0,No,No,67,Yes,No,DSL,Yes,No,Yes,No,No,Yes,Two year,No,Bank transfer (automatic),65.55,4361.55,No +9355-NPPFS,Female,1,No,No,26,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,78.8,2006.1,No +0068-FIGTF,Female,0,No,No,27,Yes,No,DSL,No,Yes,Yes,Yes,Yes,Yes,One year,No,Mailed check,78.2,2078.95,No +5965-GGPRW,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,Two year,No,Bank transfer (automatic),105.25,7609.75,No +8035-PWSEV,Female,0,No,No,6,Yes,No,Fiber optic,No,No,Yes,Yes,No,Yes,Month-to-month,Yes,Electronic check,89.25,487.05,No +2236-HILPA,Male,0,Yes,Yes,62,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.65,1218.45,No +1840-BIUOG,Male,0,No,No,20,Yes,Yes,DSL,No,Yes,No,Yes,Yes,No,One year,Yes,Electronic check,68.7,1416.2,No +1356-MKYSK,Male,0,No,No,6,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,Month-to-month,No,Credit card (automatic),78.65,483.3,No +6080-LNESI,Male,0,No,No,51,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,24.75,1234.6,No +1830-IPXVJ,Female,0,Yes,Yes,61,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.75,1311.6,No +5828-DWPIL,Male,1,Yes,No,62,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,89.1,5618.3,No +8398-TBIYD,Female,0,No,No,72,Yes,Yes,Fiber optic,Yes,No,No,Yes,No,No,Two year,Yes,Bank transfer (automatic),84.7,6185.15,No +0011-IGKFF,Male,1,Yes,No,13,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,98,1237.85,Yes +4192-GORJT,Male,0,Yes,No,5,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.45,498.1,Yes +6496-SLWHQ,Male,1,No,No,3,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,105,294.45,Yes +9912-GVSEQ,Female,1,Yes,No,26,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,93.85,2381.55,Yes +2931-FSOHN,Male,1,No,No,13,Yes,No,DSL,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,59.9,788.35,No +9418-RUKPH,Female,0,Yes,Yes,38,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,19.95,756.4,No +5383-MMTWC,Female,1,Yes,No,8,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,84,613.4,Yes +9971-ZWPBF,Male,1,Yes,Yes,34,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,108.9,3625.2,No +4712-AUQZO,Male,0,No,No,18,No,No phone service,DSL,Yes,No,Yes,No,No,No,Month-to-month,No,Mailed check,33.6,550.35,No +9711-FJTBX,Male,0,Yes,Yes,56,Yes,No,Fiber optic,No,Yes,Yes,Yes,No,No,One year,Yes,Mailed check,85.85,4793.8,No +2908-ZTPNF,Female,0,No,No,36,No,No phone service,DSL,No,Yes,No,Yes,No,No,Month-to-month,Yes,Bank transfer (automatic),34.85,1267.2,No +7240-ETPTR,Female,0,Yes,No,9,No,No phone service,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,48.75,442.2,Yes +2202-CUYXZ,Male,0,No,No,1,Yes,No,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,84.85,84.85,Yes +5995-OIGLP,Male,0,No,No,12,Yes,No,DSL,Yes,No,No,Yes,No,No,Month-to-month,No,Mailed check,56.65,654.85,Yes +8421-WZOOW,Female,1,Yes,Yes,57,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,No,Month-to-month,Yes,Credit card (automatic),95.3,5567.45,No +6261-RCVNS,Female,0,No,No,42,Yes,No,DSL,Yes,Yes,Yes,Yes,No,Yes,One year,No,Credit card (automatic),73.9,3160.55,Yes +7951-QKZPL,Female,0,Yes,Yes,33,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,24.5,740.3,Yes +1414-YADCW,Male,0,Yes,No,70,Yes,No,Fiber optic,Yes,Yes,No,Yes,No,No,Two year,No,Bank transfer (automatic),84.6,5706.2,No +8756-RDDLT,Female,0,No,No,68,No,No phone service,DSL,No,Yes,No,Yes,No,Yes,Month-to-month,No,Electronic check,44.95,3085.35,No +2862-PFNIK,Male,0,No,Yes,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,24.7,24.7,No +5816-QVHRX,Female,0,No,No,37,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,No,Credit card (automatic),100.3,3541.4,No +4430-YHXGG,Female,0,No,Yes,4,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,25.45,84.2,No +6888-SBYAI,Male,0,No,No,1,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Mailed check,50.7,50.7,No +7395-XWZOY,Male,0,No,No,20,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,No,Month-to-month,Yes,Credit card (automatic),55,1165.55,No +7169-YWAMK,Male,0,Yes,Yes,72,Yes,No,DSL,Yes,Yes,No,Yes,Yes,No,Two year,No,Bank transfer (automatic),68.4,4855.35,No +3640-PHQXK,Female,0,No,No,31,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,89.9,2806.9,Yes +6877-LGWXO,Male,1,Yes,No,18,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,78.55,1422.65,Yes +6859-RKMZJ,Male,0,Yes,No,11,Yes,No,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),55.05,608.15,No +2729-VNVAP,Female,0,Yes,Yes,33,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.8,641.35,No +2957-JIRMN,Female,1,No,No,62,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,One year,No,Electronic check,84.45,4959.15,No +2049-BAFNW,Female,0,No,No,1,No,No phone service,DSL,No,No,Yes,Yes,No,No,Month-to-month,No,Mailed check,35.9,35.9,No +3842-QTGDL,Male,0,Yes,No,16,Yes,No,Fiber optic,Yes,Yes,No,No,No,No,Month-to-month,No,Bank transfer (automatic),80.75,1321.3,No +7163-OCEQI,Male,0,Yes,Yes,22,Yes,Yes,DSL,No,No,Yes,Yes,Yes,Yes,One year,Yes,Mailed check,78.65,1663.75,No +9782-LGXMC,Female,0,Yes,Yes,49,Yes,No,DSL,Yes,No,Yes,Yes,No,No,Month-to-month,No,Bank transfer (automatic),61.75,3024.15,No +5975-BAICR,Male,0,Yes,Yes,36,Yes,No,DSL,Yes,No,Yes,No,No,Yes,One year,Yes,Credit card (automatic),63.7,2188.5,No +8019-ENHXU,Male,0,Yes,No,42,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,No,Yes,Month-to-month,Yes,Electronic check,99.45,4138.05,Yes +5167-GBFRE,Male,1,No,No,4,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),25.2,102.5,Yes +9033-EOXWV,Female,0,No,No,12,Yes,Yes,DSL,No,No,No,Yes,Yes,Yes,One year,No,Mailed check,74.05,872.65,Yes +4673-KKSLS,Female,0,No,No,31,Yes,No,Fiber optic,Yes,No,Yes,Yes,No,No,Month-to-month,No,Electronic check,87.6,2724.25,No +4853-OITSN,Male,0,Yes,No,5,Yes,Yes,Fiber optic,Yes,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,89.15,413.25,No +9800-OUIGR,Male,0,Yes,Yes,66,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20,1374.2,No +1324-NLTJE,Female,1,No,No,15,Yes,Yes,DSL,No,No,No,Yes,No,No,Month-to-month,No,Credit card (automatic),55,757.1,Yes +2324-EFHVG,Male,0,No,No,64,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),104.4,6692.65,No +7094-MSZAO,Male,0,Yes,Yes,10,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),20.05,218.5,No +1522-VVDMG,Male,0,Yes,Yes,7,Yes,No,Fiber optic,No,Yes,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,89.75,608.8,Yes +6907-CQGPN,Male,0,No,No,29,No,No phone service,DSL,No,Yes,No,Yes,No,No,Month-to-month,No,Electronic check,34.3,1004.75,No +0780-XNZFN,Male,0,No,No,57,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.65,1125.6,No +0239-OXEXL,Female,0,No,No,46,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,No,Month-to-month,No,Mailed check,84.25,3847.6,No +2675-IJRGJ,Male,0,No,No,53,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.65,978,No +7049-GKVZY,Female,0,No,No,17,Yes,No,DSL,Yes,Yes,No,Yes,Yes,Yes,One year,No,Credit card (automatic),79.85,1387.35,No +8577-QSOCG,Female,0,Yes,Yes,38,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,20.2,746.05,No +3721-CNZHX,Male,0,No,No,15,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.8,304.6,No +0212-ISBBF,Female,0,No,No,22,No,No phone service,DSL,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,50.35,1098.85,No +9185-TQCVP,Male,0,Yes,No,14,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,85.15,1139.2,Yes +3585-YNADK,Female,0,Yes,No,57,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,No,One year,No,Bank transfer (automatic),74.6,4368.95,No +5271-DBYSJ,Male,1,No,No,11,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),79.15,827.7,No +1099-GODLO,Female,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.35,20.35,No +6828-HMKWP,Male,0,Yes,Yes,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),21.05,262.05,No +5567-WSELE,Male,1,Yes,No,3,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.6,279.55,Yes +1472-TNCWL,Male,0,No,Yes,36,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.7,3512.5,No +8063-RJYNF,Male,0,No,No,16,Yes,No,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.25,1483.25,Yes +0687-ZVTHB,Male,0,Yes,Yes,65,Yes,Yes,DSL,Yes,Yes,Yes,No,No,Yes,One year,No,Credit card (automatic),72.45,4653.85,Yes +2080-GKCWQ,Male,0,No,No,2,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,74.95,151.75,No +9661-ACXBS,Female,0,No,No,42,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,105.2,4400.75,Yes +2193-SFWQW,Male,0,Yes,Yes,72,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),111.95,8033.1,No +5656-JAMLX,Male,0,No,No,62,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.85,1253.65,No +3462-BJQQA,Female,0,No,No,6,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,89.75,552.65,No +0442-TDYUO,Male,0,Yes,No,48,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,20.05,1036,No +6733-LRIZX,Male,0,No,No,35,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,108.95,4025.5,No +9503-XJUME,Male,0,No,Yes,52,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.65,928.4,No +4367-NHWMM,Female,0,No,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,24.9,24.9,No +3727-RJMEO,Male,0,Yes,No,6,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,82.85,460.25,Yes +3779-OSWCF,Female,0,Yes,No,71,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),93.2,6506.15,No +6736-DHUQI,Female,0,Yes,Yes,67,Yes,No,Fiber optic,Yes,Yes,Yes,No,No,No,One year,No,Bank transfer (automatic),84.8,5598.3,No +3915-ODIYG,Male,1,No,No,60,Yes,Yes,DSL,Yes,Yes,No,No,No,Yes,One year,Yes,Electronic check,71.75,4374.55,No +1360-RCYRT,Male,0,Yes,Yes,23,No,No phone service,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Bank transfer (automatic),30.35,678.75,No +2724-FJDYW,Male,0,No,Yes,39,No,No phone service,DSL,No,No,Yes,Yes,Yes,Yes,One year,No,Bank transfer (automatic),54.85,2191.7,No +4451-RWASJ,Male,0,Yes,Yes,15,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,19.5,239.75,No +6646-VRFOL,Male,1,Yes,No,53,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,103.85,5485.5,Yes +3460-TJBWI,Male,0,Yes,Yes,24,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,24.2,609.05,No +5917-HBSDW,Female,0,Yes,Yes,37,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,19.35,683.75,No +5685-IIXLY,Female,0,Yes,Yes,5,Yes,No,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,83.6,404.2,Yes +5671-UUNXD,Female,1,Yes,No,50,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,One year,Yes,Electronic check,100.65,5189.75,No +0956-ACVZC,Female,0,No,No,54,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),94.1,5060.9,No +2325-NBPZG,Female,0,No,No,3,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.55,233.65,No +4250-ZBWLV,Male,0,No,No,68,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,No,Electronic check,108.45,7176.55,Yes +4482-FTFFX,Male,0,No,No,5,Yes,No,DSL,No,No,Yes,Yes,No,No,Month-to-month,No,Electronic check,56.15,291.45,No +8859-DZTGQ,Male,0,No,No,33,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.35,689.75,No +0440-MOGPM,Female,0,No,No,41,Yes,Yes,DSL,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,80.55,3263.9,No +0020-JDNXP,Female,0,Yes,Yes,34,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,Yes,One year,No,Mailed check,61.25,1993.2,No +3752-CQSJI,Female,0,Yes,Yes,13,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.45,254.5,No +5025-GOOKI,Female,0,No,No,20,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),18.9,347.65,No +4698-KVLLG,Female,1,No,No,51,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.6,967.9,No +5095-AESKG,Female,0,Yes,No,3,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),91.5,242.95,Yes +2887-JPYLU,Female,0,No,Yes,41,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),45.2,1841.9,No +4770-QAZXN,Female,0,No,No,13,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),19.45,232.1,No +4896-CPRPF,Male,0,Yes,Yes,35,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),25.45,809.25,No +1871-MOWRM,Male,0,Yes,No,12,Yes,No,Fiber optic,Yes,No,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),80.85,866.45,Yes +9714-EDSUC,Male,0,No,No,4,Yes,No,Fiber optic,Yes,Yes,No,Yes,No,Yes,Month-to-month,Yes,Mailed check,94.9,360.55,No +2027-OAQQC,Female,0,No,No,43,No,No phone service,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),49.05,2076.2,Yes +0282-NVSJS,Female,1,Yes,Yes,12,No,No phone service,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Mailed check,29.3,355.9,No +9090-SGQXL,Male,1,Yes,No,68,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,105.3,7299.65,Yes +6595-YGXIT,Male,1,No,No,25,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,88.95,2291.2,Yes +7353-YOWFP,Female,0,No,No,7,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.25,129.15,No +9835-ZIITK,Male,1,Yes,No,66,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,110.85,7491.75,Yes +8008-ESFLK,Female,0,Yes,No,53,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,No,Electronic check,110.5,5835.5,No +7537-CBQUZ,Male,1,No,No,63,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),109.4,7031.45,No +1555-DJEQW,Female,0,Yes,Yes,70,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),114.2,7723.9,Yes +5649-TJHOV,Male,1,Yes,No,27,No,No phone service,DSL,No,No,No,No,No,Yes,Month-to-month,No,Bank transfer (automatic),36.5,1032,Yes +0519-XUZJU,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Mailed check,70.75,70.75,Yes +3363-EWLGO,Female,0,No,No,5,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.95,109.6,No +4750-UKWJK,Female,1,Yes,No,37,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.6,727.8,No +6338-AVWCY,Male,0,No,No,3,No,No phone service,DSL,No,No,Yes,No,Yes,No,Month-to-month,Yes,Mailed check,40.15,130.75,Yes +1689-YQBYY,Female,0,No,Yes,12,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,76.6,893,No +4487-ZYJZK,Female,0,Yes,Yes,38,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.6,763.1,No +2959-FENLU,Female,0,No,No,9,Yes,No,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Credit card (automatic),85.3,781.4,No +0708-LGSMF,Male,0,Yes,No,13,Yes,Yes,DSL,Yes,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,65.85,902.25,No +9253-QXKBE,Male,1,Yes,No,29,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.45,2653.65,Yes +7634-HLQJR,Female,0,Yes,Yes,47,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.05,1016.7,No +0487-RPVUM,Male,0,Yes,No,61,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,No,Month-to-month,No,Bank transfer (automatic),99.4,5943.65,No +4079-ULGFR,Male,0,No,No,16,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20,275.7,No +2516-XSJKX,Female,0,Yes,Yes,41,Yes,No,DSL,Yes,Yes,No,Yes,Yes,Yes,Two year,No,Electronic check,78.45,3126.45,No +0057-QBUQH,Female,0,No,Yes,43,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Electronic check,25.1,1070.15,No +9445-SZLCH,Female,0,Yes,Yes,36,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),97.35,3457.9,Yes +6599-SFQVE,Female,0,No,No,6,Yes,No,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,55,340.4,No +8331-ZXFOE,Female,0,No,No,58,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,No,One year,Yes,Credit card (automatic),71.1,4299.2,No +4003-FUSHP,Male,0,No,No,19,Yes,No,DSL,No,No,No,Yes,Yes,No,Month-to-month,Yes,Credit card (automatic),61.55,1093.2,No +0356-ERHVT,Male,0,Yes,No,11,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),45.9,521.9,No +7325-ENZFI,Female,0,No,No,39,No,No phone service,DSL,Yes,Yes,No,Yes,No,No,One year,Yes,Bank transfer (automatic),40.3,1630.4,No +4884-ZTHVF,Female,1,No,No,8,Yes,No,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,87.1,713.6,No +3920-HIHMQ,Female,0,No,Yes,26,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,49.5,1265.65,No +3055-OYMSE,Female,1,No,No,53,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),73.8,4003.85,No +0613-WUXUM,Female,0,Yes,Yes,70,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,19.2,1401.4,No +7568-PODML,Male,0,No,No,1,No,No phone service,DSL,No,No,No,No,Yes,Yes,Month-to-month,Yes,Mailed check,45.3,45.3,Yes +4458-KVRBJ,Male,0,No,No,59,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25,1510.5,No +5349-IECLD,Male,0,No,No,2,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,No,Electronic check,94.95,178.1,Yes +1397-XKKWR,Male,0,No,No,7,No,No phone service,DSL,Yes,No,Yes,No,No,No,One year,No,Mailed check,35.3,264.8,No +3945-GFWQL,Female,0,No,Yes,12,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,44.55,480.6,Yes +8097-OMULG,Male,0,Yes,Yes,59,Yes,No,DSL,No,Yes,Yes,Yes,Yes,Yes,One year,No,Credit card (automatic),76.75,4541.9,No +6013-BHCAW,Male,0,Yes,Yes,61,Yes,Yes,DSL,No,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),81,4976.15,No +0401-WDBXM,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),105.55,7542.25,No +3387-PLKUI,Female,0,Yes,Yes,13,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,18.8,251.25,No +6096-EGVTU,Female,0,Yes,Yes,64,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,24.9,1595.5,No +3797-VTIDR,Male,0,Yes,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,23.45,23.45,Yes +5081-NWSUP,Female,0,No,No,10,Yes,No,DSL,No,Yes,No,Yes,No,Yes,One year,No,Mailed check,64.9,685.55,No +2580-ATZSQ,Female,0,Yes,Yes,65,Yes,No,DSL,Yes,Yes,Yes,No,No,No,One year,No,Bank transfer (automatic),61.35,3874.1,No +8085-MSNLK,Female,0,Yes,No,62,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Mailed check,113.95,6891.4,No +9691-HKOVS,Female,0,Yes,No,55,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,90.15,4916.95,No +9881-VCZEP,Female,0,Yes,No,25,Yes,Yes,DSL,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,54.1,1373,No +9526-BIHHD,Male,0,No,No,1,No,No phone service,DSL,Yes,No,No,No,No,No,Month-to-month,No,Mailed check,29.7,29.7,Yes +8757-TFHHJ,Male,0,No,No,1,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),49.8,49.8,No +4523-WXCEF,Female,0,Yes,No,59,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,No,Electronic check,101.1,6039.9,Yes +1468-DEFNC,Male,1,Yes,Yes,64,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),24.4,1548.65,No +5119-KEPFY,Male,0,Yes,No,36,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),95,3440.25,No +8364-TRMMK,Female,0,No,No,3,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,50.65,151.3,Yes +0916-KNFAJ,Male,0,Yes,No,61,Yes,Yes,DSL,Yes,No,Yes,No,No,Yes,Two year,Yes,Mailed check,69.9,4226.7,No +8319-QBEHW,Male,0,No,Yes,26,No,No phone service,DSL,No,Yes,No,No,Yes,No,One year,Yes,Bank transfer (automatic),39.95,1023.75,No +3063-QFSZL,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,55.4,55.4,Yes +8775-LHDJH,Female,1,Yes,No,1,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,90.6,90.6,Yes +9625-QNLUX,Male,0,Yes,Yes,68,Yes,No,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Credit card (automatic),103.25,7074.4,No +3097-NQYSN,Male,1,Yes,No,2,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Mailed check,86.85,156.35,Yes +4024-CSNBY,Female,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,No,Two year,Yes,Bank transfer (automatic),94.25,6849.75,No +7110-BDTWG,Female,0,Yes,No,71,No,No phone service,DSL,No,No,Yes,Yes,No,Yes,Two year,Yes,Electronic check,47.05,3263.6,No +7493-GVFIO,Male,0,No,No,57,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.55,1252.85,No +0690-SRQID,Male,0,No,No,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.65,67.55,No +9605-WGJVW,Female,1,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.2,70.2,No +9114-DPSIA,Male,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,No,Credit card (automatic),81,5750,No +4700-UBQMV,Male,0,Yes,Yes,21,Yes,Yes,DSL,Yes,No,No,No,Yes,Yes,One year,Yes,Bank transfer (automatic),75.9,1549.75,No +7711-GQBZC,Female,0,Yes,Yes,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),24.7,1810.55,No +3565-UNOCC,Female,1,Yes,No,29,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),99.05,2952.85,Yes +4627-MIHJH,Female,1,No,No,69,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),110.25,7467.55,No +9795-NREXC,Female,0,Yes,No,64,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),85,5484.4,No +8573-CGOCC,Male,0,No,No,16,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),19.75,294.9,No +7356-AYNJP,Female,0,No,No,4,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Electronic check,23.9,97.5,No +9249-FXSCK,Female,0,No,No,52,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,One year,Yes,Credit card (automatic),111.25,5916.45,Yes +5493-SDRDQ,Male,0,No,No,2,Yes,No,DSL,Yes,No,Yes,No,No,No,Month-to-month,Yes,Mailed check,55.1,113.35,Yes +6286-SUUWT,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.95,19.95,No +4819-HJPIW,Male,0,No,No,18,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,25.15,476.8,No +8654-DHAOW,Female,0,No,No,2,Yes,Yes,DSL,No,Yes,No,No,No,No,Month-to-month,No,Mailed check,54.15,101.65,No +5438-QMDDL,Female,0,Yes,No,19,Yes,No,DSL,No,Yes,No,No,No,Yes,Month-to-month,Yes,Mailed check,59.8,1130.85,No +9812-GHVRI,Female,0,No,No,40,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Bank transfer (automatic),83.85,3532.25,No +5553-AOINX,Female,1,Yes,Yes,66,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,104.9,6891.45,No +1228-ZLNBX,Male,0,No,No,21,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Mailed check,75.3,1570.7,No +4226-KKDON,Male,0,No,No,8,Yes,No,DSL,No,Yes,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,66.65,520.95,No +3831-YCPUO,Female,0,Yes,Yes,72,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),109.5,7854.9,No +7445-WMRBW,Female,0,No,No,48,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,No,One year,Yes,Bank transfer (automatic),73.85,3581.4,No +3308-DGHKL,Male,0,No,No,69,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),19.3,1447.9,No +9924-JPRMC,Male,0,No,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,118.2,8547.15,No +0080-EMYVY,Female,0,No,No,14,Yes,No,DSL,No,Yes,No,No,No,No,One year,No,Credit card (automatic),51.45,727.85,No +6218-KNUBD,Male,0,No,No,6,Yes,No,DSL,No,Yes,No,No,Yes,No,Month-to-month,No,Electronic check,59.45,357.6,No +7337-CINUD,Female,0,Yes,Yes,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.5,159.35,No +7609-NRNCA,Female,0,No,No,17,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.55,280.85,No +0623-EJQEG,Male,0,No,No,65,Yes,Yes,Fiber optic,Yes,No,No,Yes,No,Yes,One year,No,Electronic check,93.55,6069.25,No +7153-CHRBV,Female,0,Yes,Yes,57,Yes,No,DSL,Yes,No,Yes,Yes,No,No,One year,Yes,Mailed check,59.3,3274.35,No +0871-URUWO,Male,0,Yes,No,13,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),102.25,1359,Yes +9190-MFJLN,Male,1,No,No,19,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),95.9,1777.9,Yes +6198-PNNSZ,Female,0,Yes,No,56,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,No,Bank transfer (automatic),109.8,6109.65,No +3317-VLGQT,Female,0,Yes,No,14,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,78.1,1122.4,No +4132-POCZS,Male,0,Yes,No,52,No,No phone service,DSL,Yes,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,39.9,2020.9,No +5614-DNZCE,Female,0,No,No,58,Yes,No,DSL,Yes,Yes,Yes,Yes,No,No,Two year,Yes,Credit card (automatic),64.9,3795.45,No +1095-JUDTC,Female,1,No,No,47,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,95.05,4504.55,Yes +3896-RCYYE,Female,0,No,No,67,No,No phone service,DSL,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),53.4,3579.15,No +9638-JIQYA,Male,0,No,No,2,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),24.9,49.7,No +3258-SANFR,Male,1,No,No,6,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Credit card (automatic),44.7,276.5,No +3726-TBHQT,Male,0,Yes,Yes,71,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),114,8175.9,No +3190-ITQXP,Female,0,Yes,Yes,46,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.25,890.35,No +0870-VEMYL,Female,0,No,No,5,Yes,No,DSL,Yes,No,No,Yes,No,No,Month-to-month,No,Credit card (automatic),53.85,259.8,Yes +4833-QTJNO,Male,1,Yes,No,67,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,No,Month-to-month,No,Bank transfer (automatic),83.85,5588.8,No +3039-MJSLN,Male,0,No,Yes,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),20.2,50.6,No +0178-CIIKR,Female,0,No,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.95,58,No +5385-SUIRI,Male,1,Yes,No,52,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,104.2,5568.35,Yes +3982-XWFZQ,Female,0,Yes,No,42,Yes,Yes,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,50.25,2203.65,Yes +5774-QPLTF,Male,0,Yes,Yes,50,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,20.35,938.95,No +2322-VCZHZ,Male,1,Yes,No,23,Yes,No,Fiber optic,Yes,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,90,2024.1,No +5010-IPEAQ,Female,0,Yes,Yes,67,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,No,Credit card (automatic),54.2,3623.95,No +4009-ALQFH,Female,0,No,No,25,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.5,2369.05,Yes +6383-ZTSIW,Female,1,Yes,No,39,Yes,No,Fiber optic,Yes,Yes,No,No,Yes,Yes,One year,No,Mailed check,99.1,3877.95,No +8990-YOZLV,Female,0,No,No,69,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,Two year,Yes,Mailed check,66.9,4577.9,No +3069-SSVSN,Female,0,No,No,1,No,No phone service,DSL,No,No,No,No,No,No,One year,No,Mailed check,25.85,25.85,No +5222-IMUKT,Male,0,No,No,32,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,91.05,2871.5,No +3627-FCRDW,Female,0,No,No,9,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,71,672.55,Yes +7562-GSUHK,Female,0,No,No,16,Yes,No,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Credit card (automatic),93.2,1573.7,Yes +6685-XSHHU,Male,0,Yes,Yes,60,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),20.95,1270.55,No +8901-UPRHR,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),109.2,7711.45,No +4903-UYAVB,Male,0,Yes,No,5,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.35,126.05,Yes +0118-JPNOY,Female,1,No,No,26,Yes,No,Fiber optic,Yes,No,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),85.8,2193.65,No +6776-TLWOI,Male,0,No,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.85,64.55,Yes +3845-FXCYS,Male,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,19.65,31.2,No +5857-XRECV,Female,0,No,Yes,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),20.5,38.25,No +0725-CXOTM,Female,0,No,No,36,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),89.65,3348.1,No +4343-EJVQB,Male,0,No,No,7,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,No,Mailed check,74.35,533.6,No +9000-PLFUZ,Female,1,Yes,No,60,No,No phone service,DSL,No,Yes,No,No,Yes,Yes,Two year,Yes,Credit card (automatic),49.45,2907.55,No +3427-GGZZI,Female,0,Yes,No,19,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,89.1,1620.8,No +7779-ORAEL,Male,1,Yes,No,45,Yes,Yes,DSL,Yes,No,Yes,Yes,No,Yes,Two year,No,Credit card (automatic),75.15,3480.35,No +0644-OQMDK,Male,1,No,No,4,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.65,293.85,No +4077-CROMM,Female,0,Yes,Yes,31,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,104.2,3243.45,Yes +3154-CFSZG,Male,0,Yes,Yes,47,Yes,No,Fiber optic,Yes,No,Yes,No,No,Yes,Month-to-month,No,Electronic check,90.05,4137.2,No +2868-MZAGQ,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,79.25,79.25,Yes +4847-QNOKA,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),44.9,44.9,Yes +2220-IAHLS,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),19.4,19.4,No +1658-XUHBX,Female,1,Yes,Yes,59,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Credit card (automatic),88.75,5348.65,No +6379-RXJRQ,Male,0,Yes,No,10,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.1,659.65,Yes +2378-HTWFW,Male,1,No,No,35,Yes,Yes,Fiber optic,Yes,No,No,No,No,Yes,Month-to-month,No,Credit card (automatic),91,3180.5,No +8650-RHRKE,Male,0,No,No,4,No,No phone service,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,29.65,118.5,Yes +4377-VDHYI,Male,0,Yes,Yes,32,Yes,No,Fiber optic,Yes,Yes,No,No,No,Yes,One year,Yes,Electronic check,90.8,3023.85,No +0475-RIJEP,Male,0,No,No,43,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,77.85,3365.85,Yes +1260-TTRXI,Male,0,No,No,4,Yes,No,DSL,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,54.3,195.3,Yes +3719-TDVQB,Female,1,Yes,No,54,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,18.95,1031.1,No +6328-ZPBGN,Female,1,No,No,11,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),95.15,997.65,Yes +0201-MIBOL,Female,1,No,No,66,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),102.4,6471.85,No +4937-QPZPO,Male,0,Yes,Yes,61,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,99.9,6241.35,No +2925-VDZHY,Male,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),88.7,6501.35,No +6981-TDRFT,Male,0,Yes,Yes,44,No,No phone service,DSL,No,No,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,54.3,2317.1,No +3413-CSSTH,Male,0,No,No,41,Yes,Yes,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Bank transfer (automatic),55.7,2237.55,No +8033-VCZGH,Male,0,Yes,No,50,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,103.95,5231.3,No +4789-KWMXN,Male,0,Yes,No,47,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),110.85,5275.8,Yes +0224-NIJLP,Male,0,Yes,Yes,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.15,165.5,No +7542-CYDDM,Male,0,No,No,18,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.05,358.5,No +4718-WXBGI,Male,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),91.95,6614.9,No +2867-UIMSS,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,No,Electronic check,80.5,80.5,Yes +8495-PRWFH,Female,1,No,No,42,Yes,Yes,DSL,No,No,Yes,No,No,No,Month-to-month,No,Electronic check,55.65,2421.75,No +0439-IFYUN,Female,1,No,No,18,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,74.7,1294.6,No +5716-LIBJC,Female,0,No,Yes,13,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),104.15,1299.1,No +2868-LLSKM,Female,0,Yes,Yes,68,Yes,Yes,Fiber optic,No,Yes,No,Yes,No,No,One year,Yes,Bank transfer (automatic),83.65,5733.4,No +8111-RKSPX,Male,0,No,No,4,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),72.2,305.55,Yes +2988-QRAJY,Male,0,No,No,69,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Credit card (automatic),110.05,7430.75,No +1585-MQSSU,Male,0,No,No,17,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,No,Mailed check,51.5,900.5,Yes +0071-NDAFP,Male,0,Yes,Yes,25,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.5,630.6,No +2856-NNASM,Male,1,No,No,43,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Mailed check,89.55,3856.75,Yes +7328-ZJAJO,Female,0,Yes,Yes,59,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.5,1222.65,No +6458-CYIDZ,Female,1,No,No,5,Yes,No,Fiber optic,Yes,Yes,No,No,No,No,Month-to-month,No,Electronic check,80.7,374.8,No +8559-CIZFV,Male,0,Yes,Yes,21,Yes,Yes,DSL,Yes,Yes,No,Yes,Yes,No,One year,No,Mailed check,77.5,1625,Yes +1090-PYKCI,Female,0,Yes,Yes,69,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,No,One year,Yes,Credit card (automatic),105.1,7234.8,No +3058-WQDRE,Male,0,No,No,13,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),25.15,331.85,No +7547-EKNFS,Male,0,Yes,No,42,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),95.25,3959.35,Yes +2279-AXJJK,Male,0,Yes,No,52,Yes,Yes,Fiber optic,No,Yes,No,Yes,No,Yes,Month-to-month,Yes,Credit card (automatic),95.65,5088.4,No +6769-DYBQN,Male,1,No,No,46,Yes,No,Fiber optic,Yes,No,No,No,No,Yes,Month-to-month,No,Electronic check,85,3969.4,Yes +0909-SELIE,Male,0,Yes,No,61,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,Yes,Bank transfer (automatic),80.8,4860.85,No +3417-TSCIC,Male,0,No,No,29,No,No phone service,DSL,No,No,No,No,No,No,One year,Yes,Mailed check,24.85,788.05,No +1042-HFUCW,Female,0,No,Yes,25,Yes,No,DSL,No,Yes,No,Yes,No,No,One year,Yes,Credit card (automatic),54.75,1266.35,No +4439-JMPMT,Female,0,Yes,Yes,5,Yes,No,Fiber optic,No,No,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,85.75,470.95,Yes +6537-OTKMY,Male,0,No,No,15,No,No phone service,DSL,No,No,Yes,No,Yes,Yes,One year,No,Electronic check,50.75,688.2,No +8999-EXMNO,Female,0,Yes,Yes,19,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.15,387.7,No +6725-TPKJO,Male,0,No,No,44,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.05,845.25,No +2446-BEGGB,Female,1,No,No,6,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,98.25,560.6,Yes +7162-WPHPM,Male,0,Yes,Yes,58,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,No,Two year,No,Credit card (automatic),71.6,4230.25,No +1599-MMYRQ,Male,0,Yes,Yes,62,Yes,No,Fiber optic,Yes,Yes,No,No,No,No,One year,Yes,Credit card (automatic),81.45,4983.05,No +8821-KVZKQ,Female,0,Yes,Yes,70,No,No phone service,DSL,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),58.4,4113.15,No +1496-GGSUK,Female,1,No,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,25.7,25.7,Yes +6434-TTGJP,Male,0,Yes,Yes,10,No,No phone service,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,No,Credit card (automatic),53.7,521,No +0042-JVWOJ,Male,0,No,No,26,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),19.6,471.85,No +0130-SXOUN,Male,0,No,No,66,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,No,Credit card (automatic),89.4,5976.9,No +2575-GFSOE,Female,0,Yes,Yes,7,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69,506.9,Yes +2330-PQGDQ,Male,0,Yes,Yes,51,Yes,Yes,Fiber optic,No,Yes,No,Yes,No,No,One year,No,Bank transfer (automatic),84.2,4299.75,No +1452-UZOSF,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,No,Two year,Yes,Credit card (automatic),106.1,7548.6,No +2097-YVPKN,Male,0,No,No,65,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.75,1654.75,No +2842-JTCCU,Male,0,No,No,2,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),46.05,80.35,Yes +8597-CTXVJ,Male,0,No,Yes,70,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,One year,No,Bank transfer (automatic),64.95,4551.5,No +6631-HMANX,Male,0,Yes,No,72,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),85.45,6227.5,No +9962-BFPDU,Female,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.05,20.05,No +3296-SILRA,Female,1,Yes,No,1,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,76.4,76.4,Yes +9681-OXGVC,Female,0,No,No,5,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.5,514,Yes +6394-HHHZM,Male,0,No,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.7,57.5,No +5995-LFTLE,Male,0,No,No,58,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),25.3,1474.35,No +5180-UCIIQ,Male,1,Yes,Yes,22,No,No phone service,DSL,Yes,No,No,No,No,Yes,Month-to-month,No,Mailed check,40.05,880.2,Yes +1932-UEDCX,Male,1,Yes,No,33,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),100.6,3270.25,No +7153-OANIO,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,69.95,69.95,Yes +5188-HGMLP,Male,1,Yes,No,54,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),74,3919.15,No +0665-XHDJU,Male,0,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Two year,Yes,Electronic check,99.4,7285.7,No +6521-YYTYI,Male,0,No,Yes,1,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,93.3,93.3,Yes +8878-HMWBV,Male,0,No,No,3,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,49.15,169.05,Yes +8265-HKSOW,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,Yes,Two year,No,Credit card (automatic),107.45,7658.3,No +3544-FBCAS,Female,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Credit card (automatic),83.6,5959.3,No +5331-RGMTT,Male,1,Yes,No,54,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),99.05,5295.7,No +4759-PXTAN,Female,0,Yes,No,59,Yes,Yes,DSL,No,Yes,No,Yes,Yes,Yes,One year,Yes,Electronic check,80.1,4693.2,No +7054-DMVAS,Male,0,No,No,54,Yes,No,DSL,Yes,Yes,No,No,Yes,No,Two year,Yes,Bank transfer (automatic),65.3,3512.9,No +3428-MMGUB,Male,0,No,No,60,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Two year,Yes,Electronic check,89.55,5231.2,No +6549-BTYPG,Female,0,Yes,No,60,No,No phone service,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),60.8,3603.45,No +7823-JSOAG,Male,0,No,No,3,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,74.5,217.45,No +3705-RHRFR,Female,0,Yes,No,69,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,Two year,No,Bank transfer (automatic),99.15,6875.35,No +9374-YOLBJ,Female,0,Yes,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Electronic check,19.25,19.25,No +9074-KGVOX,Male,0,Yes,Yes,50,No,No phone service,DSL,Yes,No,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),39.45,2021.35,No +6128-DAFVY,Female,0,No,No,56,No,No phone service,DSL,No,No,No,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),44.85,2564.95,No +9933-QRGTX,Female,0,Yes,No,60,Yes,No,Fiber optic,Yes,No,No,Yes,Yes,Yes,Two year,Yes,Electronic check,97.2,5611.75,No +4476-OSWTN,Male,1,Yes,No,69,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Mailed check,110.55,7610.1,No +3751-KTZEL,Female,0,No,No,1,No,No phone service,DSL,No,No,No,No,No,Yes,Month-to-month,No,Mailed check,35.05,35.05,Yes +1977-STDKI,Female,1,No,No,1,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,73,73,Yes +5066-GFJMM,Female,0,Yes,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.9,45.75,No +2661-GKBTK,Male,0,Yes,Yes,60,Yes,No,DSL,No,Yes,No,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),76.95,4543.95,No +0458-HEUZG,Female,0,No,No,13,No,No phone service,DSL,No,No,Yes,Yes,No,No,Two year,No,Mailed check,35.4,450.4,No +7268-WNTCP,Male,0,Yes,Yes,62,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.45,1297.35,No +0824-VWDPO,Female,0,No,No,45,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,Yes,One year,No,Bank transfer (automatic),96.75,4442.75,No +8409-WQJUX,Female,0,No,No,25,No,No phone service,DSL,No,No,Yes,Yes,Yes,Yes,One year,No,Electronic check,54.2,1423.15,No +2578-JQPHZ,Male,0,No,No,44,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),100.1,4378.35,No +3278-FSIXX,Female,0,No,No,2,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,45.25,74.2,No +5813-UECBU,Male,1,No,No,33,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),83.85,2716.3,Yes +0328-GRPMV,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.1,70.1,Yes +9746-UGFAC,Female,0,No,No,22,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),20.85,450.65,No +2946-KIQSP,Female,0,No,No,35,No,No phone service,DSL,No,No,Yes,Yes,No,No,Month-to-month,Yes,Mailed check,33.45,1175.85,No +0625-AFOHS,Female,0,Yes,Yes,29,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.2,558.8,No +6726-WEXXK,Male,1,Yes,No,27,Yes,Yes,Fiber optic,Yes,No,Yes,No,No,No,One year,Yes,Electronic check,85.9,2220.1,No +4636-OLWOE,Male,0,No,Yes,54,Yes,No,DSL,No,Yes,Yes,Yes,No,No,One year,Yes,Electronic check,61,3283.05,No +4342-HENTK,Female,1,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.65,142.35,Yes +4685-ERGHK,Male,0,No,No,57,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,One year,Yes,Electronic check,86.9,4939.25,No +0885-HMGPY,Male,0,No,No,62,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,No,Two year,No,Bank transfer (automatic),69.4,4237.5,No +5003-OKNNK,Female,0,Yes,Yes,15,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),20.35,335.95,No +4195-SMMNX,Male,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.35,33.2,Yes +7208-PSIHR,Female,0,Yes,No,70,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),104.3,7188.5,No +4012-ZTHBR,Female,0,Yes,Yes,21,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,44.95,926.25,No +0489-WMEMG,Female,0,No,Yes,23,Yes,No,DSL,No,No,No,Yes,No,No,One year,Yes,Electronic check,49.45,1119.35,No +7435-ZNUYY,Male,0,No,No,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.6,116.6,No +1354-YZFNB,Male,0,Yes,Yes,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.55,68.8,No +6956-SMUCM,Female,0,No,No,3,Yes,No,Fiber optic,Yes,No,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),99,287.4,Yes +2985-FMWYF,Female,0,No,No,23,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,93.5,2341.55,No +2812-ENYMO,Male,0,No,No,26,No,No phone service,DSL,Yes,No,No,Yes,Yes,Yes,One year,No,Credit card (automatic),54.55,1362.85,No +2717-HVIZY,Female,0,No,Yes,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.05,163.6,No +3223-WZWJM,Male,0,No,No,26,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,83.95,2254.2,Yes +3422-GALYP,Male,0,No,No,2,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,79.45,145.15,No +9053-JZFKV,Male,0,No,No,67,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),116.2,7752.3,Yes +2530-ENDWQ,Female,0,Yes,No,71,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),93.7,6585.35,Yes +2890-WFBHU,Female,0,No,No,59,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,Yes,One year,No,Credit card (automatic),79.85,4786.1,No +0327-WFZSY,Male,0,Yes,Yes,39,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,One year,No,Electronic check,100,3835.55,No +7977-HXJKU,Male,0,No,Yes,21,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.6,397,No +6615-ZGEDR,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.7,19.7,Yes +7033-CLAMM,Female,0,Yes,Yes,48,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.2,1027.25,No +4023-RTIQM,Female,1,Yes,No,31,No,No phone service,DSL,Yes,Yes,Yes,No,No,Yes,One year,Yes,Credit card (automatic),50.4,1580.1,No +0864-FVJNJ,Female,0,Yes,Yes,64,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,No,Electronic check,113.35,7222.75,No +7356-IWLFW,Male,0,Yes,Yes,46,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),80,3769.7,No +9541-PWTWO,Female,0,No,No,52,Yes,Yes,DSL,No,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),80.95,4233.95,No +3967-VQOGC,Female,0,Yes,Yes,67,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,24.9,1680.25,No +7872-RDDLZ,Female,1,No,No,67,Yes,Yes,DSL,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,54.9,3725.5,No +9250-WYPLL,Female,0,No,No,5,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,75.55,413.65,Yes +6308-CQRBU,Female,0,Yes,No,71,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Electronic check,109.25,7707.7,No +2754-XBHTB,Female,0,No,No,9,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),77.65,714.15,Yes +1597-LHYNC,Female,1,No,No,26,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,95,2497.2,Yes +0186-CAERR,Male,0,No,No,71,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),116.3,8309.55,No +3043-SUDUA,Female,0,No,No,32,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),19.9,601.55,No +5442-BHQNG,Female,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,70.35,139.25,No +2169-RRLFW,Female,0,Yes,No,71,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.6,1888.25,No +5872-OEQNH,Female,0,No,No,60,No,No phone service,DSL,Yes,No,Yes,No,No,Yes,One year,Yes,Electronic check,44.45,2773.9,No +3162-KKZXO,Female,1,No,No,55,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,100.15,5409.75,No +7055-VKGDA,Male,0,No,No,54,Yes,No,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,One year,Yes,Credit card (automatic),105.4,5643.4,Yes +0754-UKWQP,Male,0,No,No,2,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.85,197.7,Yes +8873-GLDMH,Female,0,No,No,6,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,73.85,401.3,No +5696-JVVQY,Female,0,Yes,Yes,48,Yes,No,DSL,Yes,Yes,Yes,No,No,Yes,Two year,Yes,Credit card (automatic),70.1,3238.4,No +8946-BFWSG,Male,0,Yes,Yes,63,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.25,1573.05,No +7493-TPUWZ,Male,0,No,No,1,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,79.15,79.15,Yes +0547-HURJB,Male,0,No,Yes,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),21.05,235.8,No +8904-OPDCK,Male,1,Yes,No,54,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),24.95,1364.75,No +8845-LWKGE,Female,0,Yes,Yes,30,Yes,No,DSL,No,No,Yes,Yes,Yes,No,One year,Yes,Electronic check,64.5,1985.15,No +1577-HKTFG,Female,0,Yes,No,30,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),19.65,655.85,Yes +8752-STIVR,Female,0,No,No,4,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,79,303.15,Yes +0691-NIKRI,Female,0,No,No,40,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),105.95,4335.2,No +5022-JNQEQ,Female,0,Yes,Yes,9,Yes,No,Fiber optic,No,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,75.85,647.5,No +4558-FANTW,Female,0,Yes,Yes,17,Yes,No,Fiber optic,Yes,No,No,Yes,Yes,No,Month-to-month,No,Electronic check,91.85,1574.45,Yes +3249-VHRIP,Female,0,No,No,62,No,No phone service,DSL,No,Yes,Yes,No,No,Yes,Two year,Yes,Credit card (automatic),43.6,2748.7,No +3736-BLEPA,Male,0,No,No,28,Yes,No,Fiber optic,No,Yes,No,Yes,Yes,No,One year,Yes,Bank transfer (automatic),91.25,2483.65,No +4701-LKOZD,Female,0,No,No,70,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),89.75,6367.2,No +6603-QWSPR,Female,0,No,No,46,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),104.4,4904.2,No +9921-QFQUL,Female,0,Yes,No,23,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,No,Mailed check,90.15,2044.95,No +1929-ZCBHE,Male,0,Yes,Yes,47,No,No phone service,DSL,Yes,No,Yes,Yes,No,No,One year,No,Electronic check,40.3,1794.8,No +4378-MYPGO,Male,0,Yes,Yes,68,Yes,No,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),105.25,7173.15,No +8651-ENBZX,Female,1,No,No,60,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,106,6441.4,Yes +4129-LYCOI,Female,0,No,Yes,67,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,Two year,Yes,Electronic check,104,7039.05,No +7798-JVXYM,Female,0,No,No,14,Yes,No,DSL,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,69.65,921.4,No +8647-SDTWQ,Male,0,Yes,Yes,57,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.3,4018.35,No +2696-ECXKC,Female,0,Yes,Yes,55,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,One year,No,Mailed check,100.9,5448.6,No +2081-KJSQF,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.25,20.25,No +7623-TRNQN,Male,0,No,Yes,1,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Mailed check,49.9,49.9,Yes +3323-CPBWR,Male,0,No,No,23,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,No,Month-to-month,Yes,Credit card (automatic),96.9,2085.45,No +9330-IJWIO,Female,0,No,No,13,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.35,1358.85,Yes +3384-CTMSF,Male,0,Yes,No,47,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,104.1,5135.15,No +0902-RFHOF,Male,0,No,No,38,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.1,730.1,No +9286-DOJGF,Female,1,Yes,No,38,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),74.95,2869.85,Yes +6048-QBXKL,Female,1,No,No,2,Yes,Yes,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),56.55,118.25,No +9661-MHUMO,Male,1,Yes,Yes,1,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Credit card (automatic),49.25,49.25,Yes +7718-RXDGG,Male,0,Yes,No,15,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),68.6,1108.6,No +1025-FALIX,Female,0,No,No,26,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),69.05,1815.65,No +3451-VAWLI,Female,0,Yes,Yes,35,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.7,730.4,No +3407-QGWLG,Male,0,No,Yes,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.05,75.45,No +1842-EZJMK,Male,0,Yes,Yes,50,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,Month-to-month,No,Electronic check,103.7,5071.05,Yes +2347-WKKAE,Male,0,Yes,No,42,Yes,Yes,Fiber optic,Yes,No,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,94.4,4014.6,No +8735-DCXNF,Male,0,Yes,No,10,Yes,No,DSL,Yes,No,No,Yes,No,No,Month-to-month,Yes,Credit card (automatic),54.95,568.85,No +3214-IYUUQ,Female,0,Yes,No,61,Yes,No,Fiber optic,Yes,Yes,No,Yes,No,Yes,One year,No,Bank transfer (automatic),93.7,5860.7,No +1936-UAFEH,Female,0,No,No,68,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,Two year,No,Credit card (automatic),110.25,7279.35,No +3587-PMCOY,Male,0,No,No,10,Yes,No,Fiber optic,Yes,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,98.9,1064.95,No +8079-XRJRS,Male,0,Yes,No,65,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,No,One year,No,Electronic check,89.75,5769.6,Yes +1027-LKKQQ,Female,0,Yes,Yes,72,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),80.45,5886.85,No +7148-XZPHA,Male,0,Yes,Yes,55,Yes,No,Fiber optic,No,Yes,No,Yes,No,No,Month-to-month,No,Electronic check,79.4,4238.45,No +8073-IJDCM,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.3,20.3,Yes +5309-TAIKL,Female,0,No,No,7,Yes,No,DSL,No,No,Yes,Yes,No,Yes,Month-to-month,No,Bank transfer (automatic),62.8,418.3,No +6856-RAURS,Female,0,No,No,2,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,74.9,136.05,No +8778-LMWTJ,Female,0,No,No,9,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.85,708.2,No +9717-IOAAF,Male,0,No,Yes,27,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),25.85,788.55,No +8884-ADFVN,Male,1,Yes,No,7,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,101.95,700.85,Yes +2845-KDHVX,Female,0,Yes,No,64,Yes,No,DSL,No,Yes,Yes,Yes,No,Yes,Two year,Yes,Mailed check,68.3,4378.8,No +0848-SOMKO,Male,0,No,No,70,No,No phone service,DSL,Yes,No,Yes,Yes,No,Yes,Two year,No,Bank transfer (automatic),48.4,3442.8,No +2720-WGKHP,Male,1,No,No,2,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94,181.7,Yes +6734-FQAJX,Male,1,No,No,67,Yes,No,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,Two year,Yes,Electronic check,105.05,7171.7,No +2869-ADAWR,Female,0,No,No,45,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),89.3,4016.85,Yes +1535-VTJOQ,Female,0,No,No,24,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.15,553,No +6368-TZZDT,Male,0,Yes,Yes,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.5,96.85,No +0943-ZQPXH,Male,0,Yes,Yes,44,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),92.95,4122.9,No +1293-BSEUN,Female,0,Yes,Yes,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,20.7,1482.3,No +9894-EZEWG,Female,0,No,No,1,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),74.3,74.3,Yes +1302-TPUBN,Male,0,No,No,66,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.35,1240.8,No +7851-FLGGQ,Male,0,No,No,1,No,No phone service,DSL,No,Yes,No,Yes,No,Yes,Month-to-month,Yes,Mailed check,44.65,44.65,Yes +0637-UBJRP,Male,0,Yes,Yes,13,Yes,No,Fiber optic,Yes,No,No,No,No,Yes,Month-to-month,No,Electronic check,84.05,1095.3,Yes +0940-OUQEC,Male,0,No,No,10,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),80.7,788.8,Yes +2378-VTKDH,Male,1,Yes,No,65,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,104.35,6578.55,No +0927-CNGRH,Male,0,No,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.55,19.55,No +8608-OZTLB,Male,0,Yes,Yes,38,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,No,One year,No,Electronic check,74.05,2802.3,No +2335-GSODA,Male,0,No,Yes,23,No,No phone service,DSL,Yes,No,Yes,Yes,No,No,Two year,No,Mailed check,40.1,857.75,No +1952-DVVSW,Female,0,Yes,No,10,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.1,184.4,No +0702-PGIBZ,Male,0,No,Yes,4,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,101.7,364.55,Yes +6656-GULJQ,Male,0,Yes,Yes,72,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),83.55,6093.3,No +9853-JFZDU,Female,0,Yes,No,35,Yes,No,DSL,No,Yes,No,Yes,No,No,Month-to-month,No,Electronic check,56.85,1861.1,No +1963-VAUKV,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.4,20.4,Yes +3777-XROBG,Female,0,Yes,Yes,58,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.55,1079.65,No +6994-FGRHH,Male,0,Yes,Yes,70,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,106.15,7475.1,No +4000-VGMQP,Male,0,Yes,Yes,38,Yes,Yes,DSL,No,Yes,Yes,No,Yes,Yes,One year,No,Credit card (automatic),78.95,2862.55,No +3999-WRNGR,Female,0,Yes,Yes,60,No,No phone service,DSL,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,49.75,3069.45,No +3466-RITXD,Male,0,No,No,26,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),92.4,2349.8,No +2680-XKKNJ,Female,0,No,No,8,Yes,No,DSL,Yes,Yes,No,Yes,No,No,One year,No,Bank transfer (automatic),58.2,469.25,No +3058-HJCUY,Male,0,Yes,Yes,41,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,102.6,4213.35,Yes +2974-GGUXS,Female,1,Yes,No,36,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),91.95,3301.05,No +7994-XIRTR,Male,1,No,No,54,Yes,No,DSL,No,No,Yes,Yes,No,Yes,One year,No,Bank transfer (automatic),65.25,3529.95,No +3259-FDWOY,Male,0,Yes,Yes,71,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),106,7723.7,Yes +2101-RANCD,Female,0,No,No,55,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,73.1,4144.9,No +7921-BEPCI,Female,0,No,No,72,Yes,Yes,DSL,Yes,Yes,No,No,No,No,Two year,No,Bank transfer (automatic),59.75,4265,No +0807-ZABDG,Female,0,No,Yes,3,Yes,No,DSL,Yes,No,No,Yes,No,No,Month-to-month,Yes,Mailed check,55.1,154.65,Yes +8510-TMWYB,Female,0,Yes,Yes,54,Yes,Yes,DSL,No,Yes,Yes,No,No,No,Two year,Yes,Bank transfer (automatic),59.8,3246.45,No +3258-ZKPAI,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),116.6,8337.45,No +1428-IEDPR,Male,0,No,No,52,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,109.3,5731.4,No +5298-GSTLM,Female,1,No,No,60,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,One year,Yes,Bank transfer (automatic),101.4,6176.6,No +4450-YOOHP,Female,0,No,No,39,No,No phone service,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),50.65,1905.4,No +6728-CZFEI,Female,0,No,No,15,Yes,No,DSL,No,No,No,No,Yes,No,One year,No,Mailed check,56.15,931.9,No +5748-RNCJT,Male,0,No,No,69,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),106.5,7348.8,Yes +3653-NCRDJ,Male,0,Yes,Yes,43,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,19.2,776.25,No +6121-TNHBO,Female,1,No,No,63,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,No,One year,No,Bank transfer (automatic),83,5243.05,No +5119-NZPTV,Male,1,Yes,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,70.1,141.65,No +6519-ZHPXP,Female,0,Yes,Yes,72,Yes,No,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),108.3,7679.65,No +7739-LAXOG,Female,0,Yes,Yes,32,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),91.05,2954.5,Yes +3472-QPRCH,Male,0,Yes,Yes,40,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.25,1006.9,No +8224-UAXBZ,Female,0,Yes,No,58,No,No phone service,DSL,Yes,Yes,No,No,Yes,No,One year,Yes,Electronic check,45.35,2540.1,No +9610-WCESF,Male,0,No,No,67,No,No phone service,DSL,Yes,No,No,Yes,Yes,No,Two year,No,Electronic check,43.9,3097.2,No +9776-CLUJA,Female,1,Yes,No,51,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,77.5,3807.35,Yes +2486-WYVVE,Male,0,Yes,No,31,Yes,Yes,DSL,No,No,Yes,Yes,Yes,Yes,One year,Yes,Mailed check,79.3,2484,No +3865-ZYKAD,Male,1,Yes,No,69,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),84.9,5785.65,No +1422-DGUBX,Male,0,Yes,No,32,Yes,Yes,Fiber optic,No,No,No,Yes,No,No,One year,Yes,Electronic check,79.25,2619.15,No +2999-AANRQ,Female,0,No,No,21,Yes,No,DSL,Yes,Yes,No,Yes,Yes,No,Two year,No,Credit card (automatic),71.05,1524.85,No +8668-KNZTI,Male,0,No,No,52,Yes,No,DSL,Yes,No,Yes,No,No,No,One year,No,Electronic check,53.75,2790.65,No +0480-KYJVA,Female,0,Yes,Yes,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),24.25,1784.5,No +6034-ZRYCV,Female,0,Yes,No,72,No,No phone service,DSL,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Electronic check,54.2,3937.45,Yes +9746-YKGXB,Male,0,Yes,Yes,52,No,No phone service,DSL,Yes,No,Yes,No,No,Yes,One year,No,Bank transfer (automatic),44.25,2276.1,No +3926-YZVVX,Female,0,No,No,41,Yes,No,DSL,No,No,No,Yes,No,No,One year,No,Bank transfer (automatic),50.05,2029.05,No +6000-UKLWI,Male,0,No,No,41,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.15,802.35,No +2079-FBMZK,Female,0,No,No,6,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,69.25,418.4,Yes +6332-FBZRI,Male,0,Yes,Yes,67,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,No,One year,Yes,Credit card (automatic),69.35,4653.25,No +2096-XOTMO,Female,0,Yes,Yes,16,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.35,275.9,No +3266-FTKHB,Male,0,No,No,17,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.15,343.45,No +8221-EQDGL,Male,0,Yes,No,35,Yes,No,DSL,Yes,Yes,Yes,No,No,No,Month-to-month,No,Mailed check,61,2130.45,No +2346-LOCWC,Female,0,Yes,Yes,58,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.5,1191.4,No +6608-QQLVK,Male,0,No,No,1,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,50.5,50.5,Yes +0298-XACET,Male,0,Yes,Yes,52,No,No phone service,DSL,No,Yes,Yes,Yes,Yes,No,Two year,No,Mailed check,50.2,2554,No +7560-QJAVJ,Female,0,No,No,70,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),79.6,5589.45,No +2995-YWTCD,Female,0,Yes,Yes,19,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),24.9,467.7,No +3551-HUAZH,Male,1,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.4,74.4,Yes +9137-UIYPG,Female,0,Yes,Yes,35,Yes,No,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,106.9,3756.45,No +2809-ZMYOQ,Female,0,No,No,32,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,101.35,3334.9,No +5084-OOVCJ,Female,0,Yes,Yes,17,Yes,No,DSL,Yes,No,No,Yes,No,No,Month-to-month,Yes,Credit card (automatic),55.35,920.5,No +0254-WWRKD,Female,0,Yes,Yes,67,Yes,No,DSL,No,Yes,No,No,No,No,One year,No,Credit card (automatic),50.55,3431.75,No +7727-SHVZV,Female,0,No,No,9,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),19.5,150.35,No +6302-JGYRJ,Male,0,No,Yes,31,Yes,Yes,DSL,No,Yes,No,Yes,Yes,Yes,One year,Yes,Mailed check,79.45,2587.7,Yes +5339-PXDVH,Male,0,No,No,4,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,No,Month-to-month,No,Electronic check,90.65,367.95,No +2205-LPVGL,Male,1,Yes,Yes,58,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,No,No,One year,Yes,Bank transfer (automatic),89.85,5125.75,No +8782-NUUOL,Male,0,No,No,60,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,One year,No,Mailed check,79,4801.1,No +3685-YLCMQ,Male,0,No,No,58,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,104.65,6219.6,Yes +7601-WFVZV,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.55,19.55,No +4609-KNNWG,Female,0,Yes,Yes,27,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.9,550.1,No +4868-AADLV,Male,1,Yes,Yes,66,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,116.25,7862.25,No +9529-OFXHY,Male,0,No,No,15,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),87.75,1242.2,No +8634-MPHTR,Male,1,Yes,No,47,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.05,4871.05,Yes +2669-QVCRG,Female,0,No,No,41,Yes,Yes,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),81.3,3190.65,No +2478-EEWWM,Male,0,Yes,No,59,No,No phone service,DSL,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,44.3,2666.75,No +9174-IHETN,Female,0,No,Yes,50,Yes,No,Fiber optic,No,No,No,No,No,No,Two year,No,Credit card (automatic),70.35,3533.6,No +2233-TXSIU,Male,0,Yes,Yes,17,No,No phone service,DSL,Yes,No,Yes,No,Yes,No,One year,No,Credit card (automatic),44.45,792.15,No +9644-UMGQA,Male,0,Yes,Yes,6,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,49.15,295.65,No +3256-EZDBI,Male,1,Yes,No,51,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),29.45,1459.35,No +8761-NSOBC,Male,0,No,No,44,Yes,No,Fiber optic,No,Yes,No,Yes,Yes,Yes,Month-to-month,No,Electronic check,100.55,4398.15,Yes +0419-YAAPX,Male,0,Yes,No,49,Yes,No,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),85.3,4297.95,No +8413-VONUO,Male,0,No,No,2,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,No,Electronic check,95.65,167.3,Yes +0872-CASZJ,Male,0,Yes,No,59,Yes,Yes,DSL,Yes,No,No,Yes,No,Yes,One year,Yes,Mailed check,69.1,4096.9,No +4726-DLWQN,Male,1,No,No,50,Yes,Yes,DSL,Yes,Yes,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),70.35,3454.6,No +8164-OCKUJ,Female,0,Yes,Yes,59,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.6,1286,No +3094-JOJAI,Male,0,No,No,18,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Mailed check,74.15,1387,No +9494-MRNYX,Male,0,No,No,10,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,75.05,786.3,No +2599-CZABP,Male,0,Yes,No,14,Yes,No,DSL,No,No,No,No,No,No,One year,No,Electronic check,44.6,641.25,No +7945-PRBVF,Male,0,No,No,35,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),21.45,705.45,No +4544-RXFMG,Male,0,Yes,Yes,8,Yes,No,DSL,No,No,No,No,No,No,One year,Yes,Mailed check,43.45,345.5,No +0859-YGKFW,Male,0,Yes,Yes,18,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),20.05,345.9,No +1150-FTQGN,Female,0,Yes,Yes,60,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,No,One year,No,Bank transfer (automatic),94.15,5811.8,No +9223-UCPVT,Female,0,No,No,1,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,No,Electronic check,94.4,94.4,Yes +7196-LIWRH,Female,0,No,No,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.55,124.45,No +5448-VWNAM,Female,0,No,Yes,19,Yes,Yes,DSL,Yes,Yes,No,Yes,Yes,No,Month-to-month,Yes,Mailed check,75.9,1375.6,No +1177-XZBJL,Male,0,Yes,Yes,53,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,One year,No,Bank transfer (automatic),64.15,3491.55,No +3518-FSTWG,Male,1,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),109.55,7920.7,No +9330-VOFSZ,Female,0,Yes,No,60,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),110.8,6640.7,No +4351-QLCSU,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Credit card (automatic),55,55,Yes +0939-EREMR,Female,0,No,Yes,13,Yes,No,DSL,No,No,Yes,Yes,No,No,Month-to-month,No,Mailed check,53.45,718.1,No +9389-ACWBI,Female,0,Yes,Yes,5,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Credit card (automatic),69.95,320.4,No +5419-JPRRN,Male,0,No,No,1,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,101.45,101.45,Yes +3644-QXEHN,Male,0,Yes,Yes,13,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,No,Electronic check,97,1334.45,No +2911-IJORQ,Male,0,No,No,37,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),90.6,3358.65,No +5921-NGYRH,Male,0,Yes,No,64,Yes,No,Fiber optic,Yes,No,No,No,No,No,Month-to-month,Yes,Mailed check,73.55,4764,No +2100-BDNSN,Female,0,Yes,No,5,Yes,Yes,DSL,No,No,Yes,Yes,Yes,No,Month-to-month,No,Bank transfer (automatic),67.95,350.3,Yes +5998-DZLYR,Female,0,Yes,No,61,Yes,Yes,Fiber optic,No,Yes,No,Yes,No,Yes,Two year,Yes,Bank transfer (automatic),94.35,5703,No +0488-GSLFR,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.5,69.5,Yes +9318-NKNFC,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,18.85,18.85,Yes +3985-HOYPM,Male,0,No,No,26,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.4,525.55,No +9728-FTTVZ,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.2,69.2,Yes +9548-LERKT,Male,0,Yes,No,24,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.75,483.15,No +6576-FBXOJ,Male,0,Yes,No,17,No,No phone service,DSL,No,No,Yes,Yes,Yes,Yes,One year,No,Electronic check,54.6,934.8,No +4310-KEDTB,Female,0,No,Yes,26,No,No phone service,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Mailed check,29.8,786.5,No +7254-IQWOZ,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.65,69.65,Yes +2474-BRUCM,Male,1,Yes,No,40,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,101.85,4086.3,Yes +4062-HBMOS,Male,0,No,No,52,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,103.05,5364.8,No +0742-NXBGR,Female,0,No,No,1,Yes,No,Fiber optic,No,Yes,Yes,No,No,No,Month-to-month,Yes,Electronic check,82.3,82.3,Yes +2676-ISHSF,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.3,20.3,No +9236-NDUCW,Female,0,No,No,21,No,No phone service,DSL,Yes,No,No,Yes,No,No,Two year,No,Mailed check,35.1,770.4,No +4753-PADAS,Female,0,Yes,No,67,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),105.7,6816.95,No +6103-QCKFX,Female,0,Yes,Yes,44,Yes,No,DSL,Yes,No,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),56.25,2419.55,No +7781-EWARA,Male,0,Yes,Yes,70,No,No phone service,DSL,No,Yes,Yes,Yes,Yes,Yes,One year,No,Electronic check,60.35,4138.7,No +6110-OHIHY,Male,0,No,No,3,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,No,Electronic check,79.25,267.6,Yes +7018-FPXHH,Male,0,Yes,Yes,56,Yes,No,DSL,Yes,Yes,Yes,No,No,No,Two year,Yes,Bank transfer (automatic),59.8,3457.45,No +5889-LFOLL,Female,0,No,No,13,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,84.6,1115.2,Yes +5708-EVONK,Female,0,Yes,Yes,58,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),93.4,5435.6,Yes +8708-XPXHZ,Female,0,Yes,Yes,42,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,94.2,4186.3,Yes +0616-ATFGB,Male,1,Yes,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,25.05,25.05,Yes +0572-ZJKLT,Female,0,Yes,Yes,46,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,No,Yes,Two year,No,Mailed check,99.65,4630.2,No +5135-RDDQL,Female,0,Yes,Yes,63,Yes,No,DSL,Yes,No,No,No,No,No,Two year,Yes,Bank transfer (automatic),50.65,3221.25,No +1353-LJWEM,Male,0,No,No,11,Yes,No,DSL,No,Yes,Yes,Yes,No,No,Month-to-month,Yes,Electronic check,60.9,688.5,No +1794-SWWKL,Male,0,Yes,Yes,15,Yes,Yes,DSL,No,No,Yes,Yes,No,No,Month-to-month,Yes,Bank transfer (automatic),59.65,867.1,No +6166-YIPFO,Male,0,Yes,No,72,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,64.7,4746.05,No +7016-BPGEU,Female,0,No,No,29,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),25.1,712.85,Yes +6876-ADESB,Male,0,No,Yes,1,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,No,Electronic check,48.95,48.95,Yes +9332-GYWLO,Female,0,Yes,Yes,6,Yes,No,DSL,No,No,No,No,Yes,No,Month-to-month,No,Electronic check,54.85,355.1,No +1963-SVUCV,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,45.3,45.3,Yes +4184-VODJZ,Male,0,Yes,Yes,63,Yes,Yes,Fiber optic,No,Yes,No,No,No,Yes,One year,Yes,Electronic check,91.35,5764.7,No +0220-EBGCE,Male,0,No,No,2,Yes,No,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,85.85,167.3,Yes +1092-WPIVQ,Female,0,Yes,Yes,18,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,25.1,428.45,No +7233-IOQNP,Female,0,Yes,No,43,No,No phone service,DSL,Yes,No,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),34,1505.35,No +2834-JKOOW,Female,0,No,No,15,No,No phone service,DSL,Yes,Yes,Yes,Yes,No,No,One year,No,Mailed check,45.9,693.45,No +2754-VDLTR,Male,0,No,Yes,10,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,95.2,930.4,Yes +2400-FEQME,Male,0,Yes,Yes,55,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.5,1177.95,No +3190-XFANI,Male,0,No,Yes,49,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),100.6,5069.65,Yes +7551-DACSP,Male,0,Yes,Yes,6,Yes,No,DSL,No,Yes,Yes,No,No,No,Month-to-month,Yes,Mailed check,55.3,324.25,Yes +4957-SREEC,Male,0,Yes,Yes,70,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.35,1458.1,No +7235-NXZCP,Male,1,No,No,2,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,74.85,156.4,Yes +0230-UBYPQ,Male,1,Yes,No,63,No,No phone service,DSL,Yes,No,No,Yes,No,No,One year,No,Bank transfer (automatic),36.1,2298.9,No +4923-ADWXJ,Female,0,No,No,25,Yes,No,DSL,No,Yes,No,Yes,No,Yes,Month-to-month,Yes,Bank transfer (automatic),65.8,1679.65,No +1763-KUAAW,Female,1,No,No,18,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),20.35,369.6,No +1104-TNLZA,Male,1,Yes,No,28,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,105.8,2998,No +5195-KPUNQ,Female,1,No,No,53,Yes,No,Fiber optic,Yes,Yes,No,Yes,No,Yes,One year,Yes,Mailed check,96.75,5206.55,No +0520-FDVVT,Male,0,No,No,35,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),102.35,3626.1,Yes +3439-GVUSX,Male,0,No,No,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,24.4,24.4,No +1444-VVSGW,Male,0,Yes,No,70,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,One year,No,Credit card (automatic),115.65,7968.85,Yes +5712-PTIWW,Male,0,No,No,2,Yes,No,Fiber optic,No,No,Yes,Yes,No,No,Month-to-month,Yes,Electronic check,79.85,152.45,Yes +5949-HGVJL,Female,0,Yes,No,26,Yes,No,DSL,No,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,73.05,1959.5,No +5203-XEHAX,Female,0,No,No,34,Yes,No,DSL,Yes,Yes,No,No,No,Yes,One year,No,Electronic check,64.35,2053.05,No +1635-HDGFT,Female,0,No,Yes,19,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.5,398.55,No +3315-TOTBP,Male,0,No,No,15,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,76,1130.85,Yes +8050-XGRVL,Female,0,Yes,Yes,62,Yes,No,DSL,Yes,No,Yes,No,No,No,One year,No,Credit card (automatic),54.75,3425.35,No +6661-HBGWL,Female,1,No,No,42,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),104.75,4323.45,Yes +1518-VOWAV,Female,0,No,No,9,Yes,No,DSL,Yes,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,74.65,703.55,Yes +9828-QHFBK,Male,0,No,No,24,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,51.15,1275.7,No +3908-MKIMJ,Male,1,Yes,No,68,No,No phone service,DSL,Yes,Yes,Yes,No,No,No,Two year,Yes,Electronic check,41.95,2965.75,No +5012-YSPJJ,Male,0,Yes,Yes,31,Yes,No,DSL,No,No,Yes,Yes,No,No,Month-to-month,No,Mailed check,54.35,1647,No +5909-ECHUI,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,56.25,56.25,Yes +1309-BXVOQ,Male,0,Yes,No,21,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,106.1,2249.95,Yes +6728-VOIFY,Female,0,Yes,No,63,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,One year,Yes,Electronic check,96,6109.75,No +9317-WZPGV,Female,1,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),79.75,159.4,Yes +4891-NLUBA,Female,0,Yes,Yes,61,No,No phone service,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),61.45,3751.15,No +2856-HYAPG,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,68.65,68.65,Yes +8969-PRHFK,Male,0,No,No,18,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.65,411.25,No +0661-KQHNK,Female,0,Yes,Yes,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19,105.5,No +8709-KRDVL,Female,0,No,No,33,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,100,3320.6,No +4488-PSYCG,Male,0,No,No,16,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),20.25,327.45,Yes +1427-VERSM,Female,0,Yes,No,56,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,98.7,5669.5,No +9801-NOSHQ,Male,0,No,Yes,23,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.8,465.45,No +6339-YPSAH,Male,0,No,No,9,Yes,No,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,73.8,704.3,No +3621-CEOVK,Female,1,Yes,No,14,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.2,1369.8,Yes +6906-ANDWJ,Male,0,Yes,Yes,15,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),74.9,1107.25,Yes +2159-TURXX,Male,0,No,No,5,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),20.05,95.55,No +1548-FEHVL,Male,0,Yes,No,61,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,106.2,6375.2,No +3795-CAWEX,Male,0,Yes,Yes,70,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),116.55,8152.3,No +6215-NQCPY,Male,0,No,No,15,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.7,1566.75,No +5647-URDKA,Male,0,Yes,Yes,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.7,130.25,No +2229-DPMBI,Female,0,Yes,Yes,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.5,162.15,No +9626-WEQRM,Female,0,No,No,4,No,No phone service,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Mailed check,29.15,110.05,No +2188-SXWVT,Female,0,No,No,34,Yes,No,DSL,Yes,Yes,No,No,No,No,One year,No,Mailed check,55,1885.15,No +6258-PVZWJ,Male,0,Yes,No,68,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),90.8,6302.85,No +1094-BKOSX,Female,0,Yes,Yes,45,No,No phone service,DSL,No,Yes,Yes,Yes,No,Yes,One year,No,Bank transfer (automatic),51,2264.5,No +6969-MVBAI,Female,1,No,No,9,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,90.1,816.8,No +2978-XXSOG,Female,0,No,No,22,Yes,Yes,DSL,Yes,No,No,Yes,No,No,Month-to-month,Yes,Mailed check,59.05,1253.5,No +2342-CKIAO,Female,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.3,41.2,No +6953-PBDIN,Male,0,Yes,No,70,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,No,Two year,No,Bank transfer (automatic),72.95,5265.55,No +3898-BSJYF,Female,0,No,Yes,10,Yes,Yes,DSL,Yes,No,Yes,Yes,No,Yes,One year,No,Credit card (automatic),73.55,693.3,No +3938-YFPXD,Male,0,No,No,72,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),84.3,5997.1,No +7696-AMHOD,Female,0,Yes,Yes,49,Yes,No,DSL,No,Yes,Yes,No,Yes,Yes,One year,No,Credit card (automatic),78,3824.2,No +2453-SAFNS,Female,1,No,No,54,Yes,Yes,DSL,No,Yes,No,Yes,Yes,No,One year,No,Mailed check,72.1,3886.05,No +9558-IHEZX,Female,0,No,No,71,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Credit card (automatic),106.75,7283.25,No +9617-UDPEU,Female,0,No,No,22,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,19.25,412.55,No +6340-DACFT,Female,0,Yes,Yes,50,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.55,1070.25,No +4955-VCWBI,Female,0,Yes,Yes,43,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20,817.95,No +6813-GZQCG,Female,0,Yes,Yes,45,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),24.65,1171.3,No +7426-GSWPO,Male,1,No,No,64,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),103.5,6548.65,No +3389-KTRXV,Female,0,Yes,Yes,23,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,23.85,625.65,No +3118-UHVVQ,Female,0,Yes,No,68,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.8,1911.5,No +1031-IIDEO,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.85,70.85,Yes +5832-XKAES,Male,0,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),69.8,134.7,Yes +3205-MXZRA,Male,0,No,No,26,Yes,No,DSL,No,No,No,Yes,Yes,No,One year,No,Credit card (automatic),59.45,1507,No +4701-AHWMW,Male,0,Yes,No,55,No,No phone service,DSL,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),54.55,2978.3,Yes +8317-BVKSO,Male,0,No,No,14,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,20.05,299.3,No +5702-KVQRD,Male,0,Yes,No,71,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,82.55,5832.65,No +0083-PIVIK,Male,0,No,No,64,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,No,One year,No,Electronic check,81.25,5567.55,No +9210-IAHGH,Female,0,No,No,7,Yes,No,DSL,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),70.75,450.8,Yes +6169-PGNCD,Female,0,No,No,57,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,Yes,Credit card (automatic),74.3,4166.35,No +0023-XUOPT,Female,0,Yes,No,13,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,No,Electronic check,94.1,1215.6,Yes +4592-IWTJI,Female,0,Yes,Yes,3,No,No phone service,DSL,Yes,No,No,No,No,No,Month-to-month,No,Credit card (automatic),29.7,91.7,Yes +4909-JOUPP,Male,1,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),109.7,7898.45,No +4657-FWVFY,Female,0,Yes,Yes,40,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Credit card (automatic),96.35,3915.4,No +2257-BOVXD,Male,0,Yes,No,14,Yes,Yes,DSL,No,No,No,Yes,Yes,No,Month-to-month,Yes,Credit card (automatic),66.6,979.5,No +7729-JTEEC,Male,0,Yes,Yes,2,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,44.5,90.05,No +7632-MNYOY,Male,1,No,No,66,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,No,Credit card (automatic),110.9,7432.05,Yes +6518-LGAOV,Female,0,Yes,No,38,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,105,4026.4,Yes +7242-QZLXF,Male,0,No,Yes,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,25.3,25.3,Yes +4576-CSAJH,Male,0,No,No,22,Yes,No,DSL,No,Yes,No,Yes,No,No,One year,Yes,Credit card (automatic),55.15,1193.05,Yes +1000-AJSLD,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.1,20.1,Yes +9696-RMYBA,Male,0,No,No,5,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Mailed check,80.1,398.55,No +8690-UPCZI,Male,0,Yes,Yes,29,Yes,Yes,DSL,Yes,No,No,Yes,Yes,No,One year,No,Bank transfer (automatic),69.05,1958.45,No +1062-LHZOD,Male,0,Yes,Yes,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,69.9,69.9,Yes +9770-LXDBK,Female,0,No,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.4,63.15,No +4086-WITJG,Male,0,Yes,Yes,71,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.7,1301.1,No +8344-WFMFH,Male,0,No,Yes,9,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,50.1,484.05,No +9600-NAXZN,Male,0,No,No,43,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,101.4,4528,Yes +8822-KNBHV,Female,0,No,No,48,Yes,Yes,DSL,Yes,Yes,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),83.45,3887.85,No +8404-FYDIB,Male,0,No,No,26,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),86.65,2208.75,No +2791-SFVEW,Female,0,No,No,9,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),20.15,238.15,No +6457-USBER,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,80.8,80.8,Yes +6762-NSODU,Female,0,Yes,Yes,46,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.4,958.15,No +4662-EKDPQ,Male,0,No,No,2,Yes,Yes,DSL,No,No,No,No,No,Yes,Month-to-month,No,Bank transfer (automatic),62.05,118.3,Yes +9248-OJYKK,Male,1,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,76.45,76.45,Yes +9888-ZCUMM,Male,0,Yes,Yes,64,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),60.05,3845.45,No +3398-FSHON,Female,1,No,No,12,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,91.3,1094.5,Yes +3319-DWOEP,Male,1,Yes,No,6,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.75,573.75,Yes +1074-WVEVG,Female,0,Yes,No,59,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.35,1267,No +9979-RGMZT,Female,0,No,No,7,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,One year,Yes,Mailed check,94.05,633.45,No +6437-UDQJM,Female,1,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Credit card (automatic),84.1,6129.65,No +1226-IENZN,Male,1,No,No,16,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,78.75,1218.25,No +2108-GLPQB,Male,0,Yes,No,25,Yes,Yes,DSL,No,No,Yes,No,No,No,Month-to-month,No,Credit card (automatic),55.55,1405.3,No +9259-PACGQ,Female,0,Yes,No,34,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,Month-to-month,No,Electronic check,62.65,2274.9,Yes +4415-IJZTP,Female,0,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.5,74.5,Yes +1465-VINDH,Female,0,Yes,Yes,10,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),102.1,1068.85,Yes +5474-LAMUQ,Male,0,Yes,No,24,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,20.1,533.9,No +3468-DRVQJ,Female,0,Yes,Yes,10,Yes,Yes,DSL,Yes,Yes,No,No,Yes,No,One year,No,Electronic check,70.3,676.15,No +1122-YJBCS,Male,0,Yes,No,69,Yes,No,DSL,Yes,Yes,No,No,No,No,One year,Yes,Credit card (automatic),53.65,3804.4,No +4990-ALDGW,Male,0,No,No,57,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.75,1118.8,No +4816-OKWNX,Male,0,Yes,Yes,50,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),103.4,5236.4,No +3315-IKYZQ,Male,0,Yes,Yes,28,No,No phone service,DSL,Yes,No,Yes,Yes,Yes,No,One year,No,Mailed check,50.8,1386.8,No +2810-FTLEM,Female,0,No,No,16,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,50.15,762.25,Yes +4747-LCAQL,Male,0,No,No,25,Yes,No,DSL,Yes,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Mailed check,79,1902,No +3411-WLRSQ,Female,1,Yes,No,3,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),74.6,239.05,No +0898-XCGTF,Male,0,Yes,No,61,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,One year,Yes,Bank transfer (automatic),96.5,5673.7,No +8006-PYCSW,Female,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.1,39.8,No +8249-THVEC,Male,0,Yes,Yes,51,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.4,997.75,No +8722-PRFDV,Female,0,Yes,Yes,71,Yes,No,DSL,Yes,No,Yes,No,Yes,Yes,Two year,No,Credit card (automatic),77.55,5574.35,No +2164-SOQXL,Female,0,Yes,Yes,20,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.05,406.05,No +4020-KIUDI,Male,0,Yes,Yes,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),19.85,138.85,No +5850-BDWCY,Female,0,No,No,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.2,123.65,No +2038-YSEZE,Female,0,No,No,29,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,Month-to-month,No,Mailed check,67.45,1801.1,No +0827-ITJPH,Male,0,No,No,36,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),18.55,689,No +8799-OXZMD,Female,0,No,No,28,No,No phone service,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Mailed check,29.75,790.7,No +1925-TIBLE,Female,0,Yes,No,7,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,86.5,582.5,Yes +1705-GUHPV,Female,0,No,No,63,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,24.2,1618.2,No +4779-ZGICK,Male,0,Yes,Yes,48,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,23.55,1173.35,No +0048-PIHNL,Female,0,Yes,No,49,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Bank transfer (automatic),20.45,900.9,No +0818-OCPZO,Male,1,No,No,27,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,81.45,2122.05,Yes +3967-KXAPS,Male,0,Yes,No,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),92.3,6719.9,No +1447-GIQMR,Male,0,Yes,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.15,69.15,Yes +3704-IEAXF,Female,0,Yes,Yes,72,No,No phone service,DSL,No,Yes,No,Yes,Yes,Yes,Two year,No,Credit card (automatic),53.65,3784,No +6810-VCAEX,Female,0,No,No,47,No,No phone service,DSL,Yes,Yes,No,Yes,No,No,One year,No,Credit card (automatic),39.65,1798.65,No +0674-EYYZV,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,54.65,54.65,No +4480-MBMLB,Female,0,No,No,36,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),104.8,3886.45,No +1395-OFUWC,Male,0,Yes,Yes,43,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,No,Credit card (automatic),29.3,1224.05,No +0822-QGCXA,Female,1,Yes,No,27,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,No,Electronic check,83.85,2310.2,No +0872-NXJYS,Female,0,No,No,9,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,79.55,723.4,Yes +2832-KJCRD,Female,0,No,No,38,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,103.65,3988.5,No +3588-WSTTJ,Female,1,No,No,35,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,99.05,3554.6,No +4075-WKNIU,Female,0,Yes,Yes,0,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,No,Two year,No,Mailed check,73.35, ,No +5090-EMGTC,Female,0,Yes,No,59,Yes,No,Fiber optic,No,Yes,No,Yes,Yes,Yes,Two year,Yes,Mailed check,100.05,6034.85,No +2346-CZYIL,Male,0,No,No,27,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.35,531.6,No +3798-EPWRR,Female,1,No,No,2,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,43.95,85.1,No +6258-NGCNG,Male,0,No,No,7,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,23.5,173,No +4186-ZBUEW,Female,0,No,No,36,Yes,Yes,DSL,No,Yes,No,Yes,No,Yes,One year,Yes,Mailed check,70.7,2511.95,No +5274-XHAKY,Female,0,Yes,Yes,41,Yes,Yes,Fiber optic,Yes,Yes,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),94.3,3893.6,No +1442-BQPVU,Female,0,No,No,13,No,No phone service,DSL,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,29.15,357.15,No +3978-YNKDD,Male,0,No,Yes,19,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),20.85,467.5,No +4940-KHCWD,Female,0,Yes,No,60,No,No phone service,DSL,Yes,Yes,No,Yes,No,No,Two year,No,Bank transfer (automatic),37.7,2288.7,No +9412-ARGBX,Female,0,No,Yes,48,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,No,Two year,Yes,Mailed check,95.5,4627.85,Yes +1389-CXMLU,Male,1,No,No,3,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,No,Electronic check,91.05,289.1,Yes +9589-ABEPT,Male,0,Yes,No,69,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,No,Two year,Yes,Mailed check,92.45,6460.55,No +9388-ZEYVT,Male,0,No,No,43,No,No phone service,DSL,No,No,Yes,Yes,No,Yes,One year,No,Electronic check,44.15,1931.3,No +0305-SQECB,Female,0,No,Yes,11,No,No phone service,DSL,Yes,No,No,Yes,No,No,One year,Yes,Mailed check,36.05,402.6,No +7605-SNLQG,Female,0,Yes,No,45,Yes,No,DSL,No,No,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),50.25,2221.55,No +4670-TABXH,Male,0,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),109.75,7758.9,No +5561-NWEVX,Female,1,Yes,No,2,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,No,Electronic check,79.2,172.85,Yes +0064-SUDOG,Female,0,Yes,Yes,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.3,224.5,No +8561-NMTBD,Female,0,Yes,Yes,67,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Credit card (automatic),112.35,7388.45,No +5161-XEUVX,Male,0,Yes,No,37,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,No,Two year,No,Mailed check,94.3,3460.95,No +8292-FRFZQ,Female,0,No,No,39,No,No phone service,DSL,Yes,Yes,No,Yes,No,No,One year,No,Bank transfer (automatic),41.15,1700.9,No +8591-NXRCV,Female,0,No,No,41,Yes,Yes,DSL,Yes,No,Yes,Yes,No,Yes,Month-to-month,Yes,Bank transfer (automatic),74.65,3090.65,No +7895-VONWT,Female,0,No,No,25,No,No phone service,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,48.25,1293.8,No +4526-RMTLL,Male,0,Yes,Yes,8,Yes,Yes,DSL,Yes,Yes,No,Yes,No,Yes,Two year,Yes,Credit card (automatic),76.15,645.8,No +6253-GNHWH,Female,0,Yes,Yes,71,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,No,Two year,No,Mailed check,71.1,5224.95,No +4566-NECEV,Male,0,No,No,5,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,No,Electronic check,96.55,500.1,No +8080-POTJR,Female,0,No,No,30,Yes,Yes,DSL,Yes,No,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),79.3,2427.1,No +6906-MPARY,Male,0,No,No,40,Yes,No,Fiber optic,No,Yes,No,Yes,No,Yes,One year,Yes,Credit card (automatic),89.6,3488.15,No +3662-FXJFO,Female,0,No,No,54,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,20.5,1035.7,No +8107-RZLNV,Male,0,Yes,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),106.3,7565.35,No +0516-OOHAR,Male,0,Yes,Yes,28,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,No,Bank transfer (automatic),100.35,2799,No +2027-CWDNU,Male,0,Yes,Yes,18,Yes,No,Fiber optic,No,No,No,Yes,No,Yes,Month-to-month,Yes,Electronic check,85.6,1601.5,No +2737-WFVYW,Female,0,No,No,2,No,No phone service,DSL,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,45.25,85.5,Yes +9912-OMZDS,Female,0,Yes,Yes,59,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,106.15,6256.2,No +3733-ZEECP,Male,0,Yes,Yes,22,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,51.1,1232.9,No +7878-RTCZG,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.9,19.9,No +2452-MRMZF,Female,1,Yes,No,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),25.7,1937.4,No +2272-QAGFO,Female,1,No,No,14,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.3,1096.25,Yes +7103-IPXPJ,Male,0,Yes,No,50,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,One year,No,Electronic check,99.4,5059.75,No +4342-HFXWS,Female,0,Yes,Yes,48,Yes,No,DSL,Yes,No,Yes,Yes,Yes,No,One year,No,Bank transfer (automatic),69.7,3023.65,No +3545-CNWRG,Female,0,Yes,Yes,49,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,98.35,4889.2,No +1785-BPHTP,Male,0,Yes,Yes,28,Yes,No,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,No,Electronic check,85.45,2289.9,No +4989-LIXVT,Male,1,No,No,68,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,95.9,6503.2,No +7315-WYOAW,Male,0,No,No,13,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,No,Electronic check,100.75,1313.25,No +1173-XZPYF,Female,0,No,No,11,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,89.2,990.3,No +9850-OWRHQ,Female,0,Yes,No,3,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),74.1,228,Yes +3768-NLUBH,Male,1,Yes,No,57,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,No,Electronic check,100.6,5746.15,Yes +8676-TRMJS,Male,0,No,No,3,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Mailed check,75,209.1,Yes +2509-TFPJU,Male,0,Yes,No,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.75,1864.2,No +9530-GRMJG,Male,0,Yes,Yes,70,Yes,Yes,DSL,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,84.1,5979.7,No +6898-RBTLU,Female,0,Yes,Yes,49,Yes,Yes,DSL,No,Yes,No,Yes,Yes,Yes,Two year,No,Bank transfer (automatic),79.3,3902.45,No +5481-NTDOH,Female,1,Yes,No,67,Yes,Yes,Fiber optic,Yes,No,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),107.05,7142.5,No +2068-WWXQZ,Male,0,No,No,46,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.05,902,No +7359-SSBJK,Female,1,No,No,64,Yes,No,DSL,Yes,Yes,No,Yes,Yes,No,Two year,Yes,Credit card (automatic),70.2,4481,Yes +2061-VVFST,Female,0,Yes,No,37,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),19.5,805.2,No +0685-MLYYM,Female,1,No,No,2,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,70.75,154.85,Yes +0749-IRGQE,Female,1,Yes,No,13,No,No phone service,DSL,No,No,No,No,Yes,Yes,Month-to-month,No,Electronic check,45.3,528.45,No +2380-DAMQP,Female,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Electronic check,115.15,8349.7,No +2256-YLYLP,Male,0,Yes,Yes,68,Yes,No,DSL,No,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),72.95,4953.25,No +1272-ILHFG,Male,0,Yes,Yes,15,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.65,332.65,No +0164-XAIRP,Female,0,No,No,24,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),19.55,470.2,No +5666-CYCYZ,Female,0,No,No,24,Yes,Yes,Fiber optic,No,No,No,Yes,No,Yes,Month-to-month,Yes,Electronic check,89.55,2259.35,No +4011-ARPHK,Male,0,No,No,27,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,No,Mailed check,50.35,1411.35,No +8182-PNAGI,Male,0,No,No,12,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,No,Bank transfer (automatic),50.25,593.75,Yes +6365-HITVU,Female,0,Yes,Yes,71,Yes,No,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),87.25,6328.7,No +7558-IMLMT,Male,0,Yes,Yes,67,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,20.8,1411.9,No +9488-FYQAU,Female,0,Yes,No,63,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),109.25,6841.4,No +3590-TCXTB,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.35,20.35,No +6994-KERXL,Male,0,No,No,4,Yes,No,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,55.9,238.5,No +7957-RYHQD,Female,1,No,No,40,Yes,No,Fiber optic,Yes,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),79.2,3233.85,Yes +2180-DXNEG,Female,0,No,No,12,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,96,1062.1,Yes +1960-UOTYM,Male,0,Yes,Yes,52,Yes,No,DSL,Yes,Yes,Yes,No,Yes,Yes,Two year,No,Electronic check,79.2,4016.3,No +2740-JFBOK,Male,0,No,No,10,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,24,226.55,No +6500-JVEGC,Male,0,No,No,68,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,No,One year,No,Bank transfer (automatic),101.35,7110.75,No +5515-AKOAJ,Female,0,No,No,54,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,100.1,5440.9,Yes +8976-OQHGT,Female,0,Yes,Yes,4,Yes,No,DSL,No,Yes,No,Yes,No,No,Month-to-month,No,Mailed check,56.5,235.1,Yes +5245-VDBUR,Female,0,Yes,No,52,No,No phone service,DSL,Yes,No,Yes,No,No,No,One year,No,Mailed check,35.45,1958.95,No +6230-BSUXY,Female,1,No,No,1,Yes,No,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,85,85,Yes +8469-SNFFH,Male,0,Yes,No,70,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,No,One year,No,Bank transfer (automatic),79.4,5528.9,No +2144-ESWKO,Male,0,No,No,43,No,No phone service,DSL,Yes,No,Yes,No,No,No,One year,Yes,Credit card (automatic),35.2,1463.7,No +1241-FPMOF,Male,0,No,No,52,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.65,1025.05,No +9928-BZVLZ,Female,0,No,No,12,No,No phone service,DSL,Yes,No,Yes,Yes,No,Yes,Two year,No,Mailed check,49.85,552.1,No +4114-QMKVN,Female,0,Yes,Yes,56,Yes,Yes,DSL,Yes,Yes,No,No,No,Yes,One year,No,Bank transfer (automatic),68.75,3815.4,No +2775-SEFEE,Male,0,No,Yes,0,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,Two year,Yes,Bank transfer (automatic),61.9, ,No +9003-CPATH,Male,0,No,No,42,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,No,Electronic check,79.9,3313.4,No +1754-GKYPY,Male,1,Yes,No,22,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),89.75,1938.9,No +5294-CDGWY,Male,0,Yes,Yes,51,No,No phone service,DSL,Yes,Yes,Yes,No,Yes,Yes,One year,No,Electronic check,59.3,3014.65,Yes +7956-XQWGU,Male,0,No,No,27,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),19.4,460.25,No +1591-MQJTP,Male,1,Yes,No,51,Yes,Yes,Fiber optic,Yes,No,Yes,No,No,Yes,One year,Yes,Bank transfer (automatic),93.65,4839.15,No +5295-PCJOO,Male,0,No,Yes,4,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,49.4,184.4,Yes +2369-FEVNO,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.9,19.9,No +9863-JZAIC,Male,0,No,No,35,Yes,No,DSL,No,No,No,No,Yes,No,Month-to-month,No,Mailed check,55,2010.55,Yes +7471-MQPOS,Male,1,Yes,Yes,71,Yes,Yes,DSL,No,Yes,Yes,Yes,No,Yes,One year,Yes,Bank transfer (automatic),72.9,5139.65,No +7660-HDPJV,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.2,69.2,Yes +5115-SQAAU,Female,0,Yes,Yes,69,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),25.6,1673.4,No +9845-QOMAD,Male,0,Yes,Yes,14,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,19.75,309.35,No +7672-VFMXZ,Male,0,Yes,No,57,Yes,No,DSL,Yes,No,No,Yes,No,No,Month-to-month,No,Electronic check,55.7,3171.6,No +9739-JLPQJ,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Credit card (automatic),117.5,8670.1,No +9916-AYHTC,Male,0,No,No,48,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.85,916,No +3855-ONCAR,Female,0,Yes,Yes,4,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Mailed check,78.9,299.75,No +1488-SYSFC,Male,0,Yes,Yes,31,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,20.65,702.05,No +7931-PXHFC,Male,0,No,No,38,Yes,No,DSL,No,No,Yes,Yes,No,Yes,One year,Yes,Mailed check,62.3,2354.8,Yes +3990-QYKBE,Male,1,Yes,No,37,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,92.5,3473.4,Yes +0970-QXPXW,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,19.65,19.65,No +3259-KNMRR,Male,1,No,No,57,Yes,Yes,DSL,No,Yes,Yes,No,Yes,Yes,Two year,Yes,Bank transfer (automatic),79.75,4438.2,No +6120-RJKLU,Female,1,Yes,No,62,Yes,No,DSL,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),79.95,4819.75,No +9572-WUKSB,Male,0,Yes,No,3,No,No phone service,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,29.9,92.25,No +5893-KCLGT,Female,0,No,Yes,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,19.75,1567,No +0076-LVEPS,Male,0,No,Yes,29,No,No phone service,DSL,Yes,Yes,Yes,Yes,No,No,Month-to-month,Yes,Mailed check,45,1242.45,No +3640-JQGJG,Male,0,Yes,Yes,13,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),44.8,559.2,No +4919-MOAVT,Male,0,No,Yes,3,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,69.65,220.1,Yes +1596-OQSPS,Female,0,No,No,11,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,51.1,531.15,No +9867-XOBQA,Female,0,No,Yes,21,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,No,Mailed check,53.15,1183.2,No +9546-KDTRB,Female,0,No,No,19,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Bank transfer (automatic),24.7,465.85,No +3090-HAWSU,Male,0,No,No,61,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),111.6,6876.05,Yes +9820-RMCQV,Female,0,No,No,11,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,No,Credit card (automatic),48.55,501,Yes +3174-RKMOW,Male,0,Yes,Yes,35,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Electronic check,109.95,3782.4,No +1760-CAZHT,Male,0,No,Yes,25,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.8,460.2,No +7839-QRKXN,Female,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.2,20.2,Yes +8441-SHIPE,Female,0,No,No,67,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),25.6,1790.35,No +5204-QZXPU,Male,0,No,No,19,No,No phone service,DSL,No,No,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,39.65,733.35,Yes +4597-ELFTS,Male,0,No,No,56,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Electronic check,24.9,1334,Yes +1320-GVNHT,Male,0,Yes,Yes,72,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Credit card (automatic),108.4,7767.25,No +1047-RNXZV,Male,0,No,No,43,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.55,876.15,No +3541-ZNUHK,Female,0,Yes,Yes,55,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,85.1,4600.95,No +8450-JOVAH,Male,0,Yes,Yes,2,Yes,Yes,DSL,Yes,No,No,No,No,No,Month-to-month,No,Mailed check,56.7,113.55,Yes +8725-JEDFD,Male,0,No,No,27,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,69.05,1793.25,No +7562-UXTPG,Female,0,No,No,13,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,70.15,886.7,No +8071-SBTRN,Female,0,No,No,70,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Two year,Yes,Mailed check,111.15,7737.55,No +1113-IUJYX,Female,0,Yes,No,14,Yes,No,Fiber optic,Yes,Yes,No,Yes,Yes,Yes,One year,No,Mailed check,105.95,1348.9,Yes +6668-CNMFP,Female,0,Yes,Yes,19,Yes,Yes,Fiber optic,No,No,No,Yes,No,Yes,One year,Yes,Bank transfer (automatic),89.35,1686.85,No +5626-MGTUK,Female,0,No,No,20,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),89.1,1879.25,No +5681-LLOEI,Male,0,Yes,Yes,43,Yes,Yes,Fiber optic,Yes,No,Yes,Yes,No,No,One year,Yes,Credit card (automatic),91.25,4013.8,No +8212-DJRCH,Male,0,Yes,Yes,5,Yes,No,Fiber optic,Yes,No,Yes,No,No,Yes,Month-to-month,Yes,Mailed check,90.35,434.5,No +4323-OHFOW,Female,1,Yes,No,70,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),105.55,7195.35,No +4933-BSAIP,Female,0,Yes,No,40,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.1,780.1,No +2030-BTZRO,Male,0,Yes,Yes,6,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),20.4,107.6,No +1116-DXXDF,Male,0,No,No,39,Yes,No,Fiber optic,Yes,No,Yes,No,Yes,Yes,Two year,Yes,Electronic check,100.45,3801.7,No +9274-CNFMO,Male,1,Yes,No,4,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Electronic check,74.95,308.7,Yes +7758-XKCBS,Male,0,No,No,15,No,No phone service,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Electronic check,29.7,438.25,Yes +8992-JQYUN,Male,0,Yes,No,1,No,No phone service,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,50.35,50.35,Yes +6563-VNPMN,Female,1,No,No,45,Yes,No,Fiber optic,Yes,Yes,No,Yes,No,No,Month-to-month,Yes,Bank transfer (automatic),85.7,3778.1,No +0617-AQNWT,Female,0,Yes,No,64,No,No phone service,DSL,Yes,No,Yes,Yes,No,Yes,Two year,No,Electronic check,47.85,3147.5,Yes +2267-WTPYD,Female,1,Yes,No,57,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,No,Credit card (automatic),94,5438.95,No +0270-THENM,Male,0,Yes,Yes,72,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,No,Two year,No,Bank transfer (automatic),69.85,5102.35,No +2446-PLQVO,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,70.3,70.3,Yes +4707-MAXGU,Male,0,Yes,No,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.85,1872.2,No +2710-WYVXG,Female,0,No,No,3,Yes,No,DSL,Yes,Yes,No,Yes,No,Yes,Two year,No,Mailed check,71.1,213.35,No +3005-NFMTA,Male,1,No,No,55,Yes,Yes,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,98.8,5617.75,Yes +6300-BWMJX,Female,0,Yes,No,59,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,No,Month-to-month,No,Electronic check,93.35,5386.5,No +8784-CGILN,Female,0,No,No,18,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),99.85,1776.95,Yes +5389-FFVKB,Male,1,Yes,No,32,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Credit card (automatic),80.3,2483.05,Yes +7009-LGECI,Female,0,No,No,4,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),50.55,235.65,No +8444-WRIDW,Female,1,No,No,66,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Credit card (automatic),80.45,5224.35,Yes +5022-KVDQT,Male,0,No,No,27,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,81.3,2272.8,No +7976-CICYS,Male,0,No,No,4,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Credit card (automatic),20.7,83.75,No +1036-GUDCL,Male,0,Yes,Yes,60,Yes,No,DSL,Yes,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),79.05,4663.4,No +2005-DWQZJ,Female,0,Yes,Yes,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,19.05,201.7,No +8148-WOCMK,Male,0,Yes,Yes,8,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.6,125,No +7815-PDTHL,Male,0,No,No,35,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,20.2,684.4,No +9451-LPGOO,Male,0,No,No,7,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,86.8,620.35,Yes +9173-IVZVP,Female,0,Yes,Yes,53,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.9,1146.05,No +9129-UXERG,Female,1,No,No,18,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,Month-to-month,Yes,Credit card (automatic),103.6,1806.35,No +3635-JBPSG,Female,0,No,No,15,No,No phone service,DSL,No,Yes,No,No,No,Yes,Two year,Yes,Mailed check,38.8,603,No +7964-ZRKKG,Male,0,Yes,No,67,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,One year,Yes,Bank transfer (automatic),88.4,5798.3,No +5868-YWPDW,Male,1,Yes,No,6,Yes,No,Fiber optic,No,Yes,No,No,No,Yes,Month-to-month,Yes,Electronic check,84.2,519.15,Yes +6229-LSCKB,Male,1,No,No,6,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,79.7,497.6,No +2025-JKFWI,Male,0,No,No,13,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,Yes,Mailed check,99,1301.7,Yes +4078-SAYYN,Female,0,No,No,11,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,100.75,1129.75,Yes +1724-IQWNM,Male,0,No,Yes,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.3,19.3,No +8217-QYOHV,Male,0,No,No,5,Yes,No,DSL,Yes,No,No,Yes,No,No,Month-to-month,Yes,Mailed check,55.75,266.95,No +5546-QUERU,Male,0,No,No,13,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Mailed check,19.95,257,No +9940-HPQPG,Female,0,Yes,No,9,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,No,No,Month-to-month,No,Bank transfer (automatic),91.75,865.8,Yes +6897-UUBNU,Male,0,No,No,29,Yes,No,Fiber optic,No,Yes,No,Yes,Yes,No,Month-to-month,No,Mailed check,89.65,2623.65,No +6127-IYJOZ,Male,1,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,45.85,45.85,No +6618-RYATB,Female,0,No,No,1,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Mailed check,79.55,79.55,Yes +8930-XOTDP,Female,0,Yes,Yes,18,Yes,No,DSL,No,No,No,No,Yes,No,Month-to-month,No,Mailed check,55.95,1082.8,No +5916-QEWPT,Female,0,Yes,No,2,Yes,No,DSL,No,No,Yes,No,Yes,Yes,Month-to-month,No,Credit card (automatic),69,147.8,No +5060-TQUQN,Male,0,Yes,Yes,30,Yes,Yes,Fiber optic,No,Yes,No,Yes,No,No,Month-to-month,Yes,Bank transfer (automatic),83.55,2570.2,No +0531-XBKMM,Male,0,No,Yes,66,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,Two year,No,Bank transfer (automatic),65.7,4378.9,No +8465-SBRXP,Male,0,Yes,Yes,38,Yes,Yes,Fiber optic,No,No,Yes,Yes,Yes,No,Two year,Yes,Bank transfer (automatic),94.9,3616.25,No +2408-PSJVE,Male,0,Yes,Yes,44,Yes,No,DSL,No,Yes,Yes,Yes,No,No,Month-to-month,Yes,Mailed check,61.9,2924.05,No +9079-YEXQJ,Female,0,No,No,54,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,No,Electronic check,111.1,6014.85,Yes +9700-ZCLOT,Male,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20,32.7,No +8738-JOKAR,Female,0,No,No,42,Yes,No,DSL,Yes,Yes,No,Yes,No,Yes,One year,Yes,Mailed check,67.7,2882.25,No +4534-WGCIR,Female,0,Yes,Yes,58,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),25.15,1509.9,No +1930-WNXSB,Male,0,Yes,Yes,58,Yes,No,Fiber optic,No,Yes,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,92.85,5305.05,No +2685-SREOM,Female,0,Yes,Yes,25,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,89.1,2368.4,Yes +3508-CFVZL,Female,0,No,No,71,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Mailed check,111.3,7985.9,No +0402-CQAJN,Female,0,No,No,37,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),101.9,3545.35,Yes +6692-UDPJC,Female,0,Yes,Yes,14,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,91.65,1301,Yes +1273-MTETI,Female,1,No,No,4,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,Yes,Electronic check,88.85,372.45,Yes +0657-DOGUM,Female,0,Yes,No,48,Yes,Yes,DSL,Yes,No,No,Yes,No,No,One year,Yes,Bank transfer (automatic),60.6,2985.25,No +5480-HPRRX,Female,1,No,No,3,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Electronic check,25.3,77.75,Yes +8792-AOROI,Female,0,Yes,No,8,Yes,No,DSL,Yes,No,No,Yes,No,Yes,Two year,No,Mailed check,65.5,564.35,No +0295-PPHDO,Male,0,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,95.45,95.45,Yes +5146-YYFRZ,Male,0,No,No,67,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.95,1311.75,No +1195-OIYEJ,Male,0,No,No,13,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,91.1,1135.7,Yes +5906-CVLHP,Female,0,Yes,Yes,45,Yes,No,DSL,No,Yes,No,Yes,No,No,One year,Yes,Credit card (automatic),54.15,2319.8,Yes +3452-SRFEG,Male,0,No,No,49,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),74.6,3720.35,No +4070-OKWVH,Female,0,Yes,No,52,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,No,Bank transfer (automatic),94.6,5025.8,No +5297-MDOIR,Female,0,Yes,No,63,Yes,No,Fiber optic,Yes,No,Yes,No,No,No,One year,Yes,Credit card (automatic),81.15,5224.5,No +6369-MCAKO,Female,0,Yes,Yes,68,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),89.05,6185.8,No +4926-UMJZD,Female,0,Yes,No,31,Yes,No,DSL,No,No,No,Yes,No,No,Month-to-month,Yes,Mailed check,49.2,1498.55,No +6848-HJTXY,Female,0,Yes,No,64,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.45,1208.6,No +6341-AEVKX,Female,0,Yes,No,62,Yes,No,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,104.3,6613.65,No +4501-EQDRN,Female,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),69.7,69.7,Yes +2990-HWIML,Female,0,No,No,6,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,89.5,573.3,Yes +0682-USIXD,Female,0,Yes,No,21,Yes,No,Fiber optic,No,No,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,86.05,1818.9,No +6976-BWGLQ,Female,0,Yes,Yes,72,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),25.2,1787.35,No +7078-NVFAM,Female,0,Yes,Yes,32,No,No phone service,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,35.15,1051.05,No +8065-QBYTO,Female,1,No,No,71,Yes,Yes,Fiber optic,Yes,Yes,No,Yes,Yes,No,One year,Yes,Credit card (automatic),99.65,7181.25,No +2133-TSRRM,Female,0,No,Yes,34,Yes,No,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),105.35,3688.6,No +7384-GHBPI,Male,0,Yes,No,3,No,No phone service,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,35.15,99.75,Yes +7603-USHJS,Male,0,No,Yes,12,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),73.75,871.4,Yes +7234-FECYN,Female,1,No,No,8,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Month-to-month,No,Electronic check,101.35,780.5,Yes +2511-ALLCS,Female,0,Yes,Yes,35,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),24.3,821.6,No +3191-CSNMG,Female,0,Yes,Yes,3,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,80.7,239.45,No +7952-OBOYL,Male,0,No,No,3,Yes,No,Fiber optic,No,No,Yes,Yes,Yes,No,Month-to-month,Yes,Mailed check,89.85,244.45,No +7470-DYNOE,Male,0,No,No,53,Yes,No,DSL,No,No,Yes,No,No,Yes,One year,Yes,Electronic check,61.1,3357.9,No +7853-OETYL,Female,0,Yes,No,4,No,No phone service,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,29.05,129.6,No +1545-ACTAS,Female,0,Yes,Yes,48,Yes,No,Fiber optic,Yes,No,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),99.7,4977.2,No +5876-HZVZM,Female,0,Yes,Yes,6,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,No,Credit card (automatic),55.9,365.35,Yes +1400-MMYXY,Male,1,Yes,No,3,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,105.9,334.65,Yes +5126-RCXYW,Male,0,Yes,Yes,54,No,No phone service,DSL,No,No,Yes,Yes,No,Yes,Two year,No,Credit card (automatic),46,2424.05,No +3085-QUOZK,Female,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,43.95,43.95,Yes +2363-BJLSL,Male,0,No,No,62,Yes,No,DSL,No,Yes,Yes,Yes,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),80.4,4981.15,No +1956-YIFGE,Male,0,Yes,Yes,22,Yes,No,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Mailed check,100.05,2090.25,No +3926-CUQZX,Male,0,No,No,1,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),45.1,45.1,Yes +7921-LMDFQ,Male,1,No,No,51,Yes,No,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Bank transfer (automatic),94,4905.75,No +2925-MXLSX,Female,0,No,No,30,Yes,Yes,DSL,No,Yes,Yes,No,Yes,No,One year,Yes,Credit card (automatic),68.95,2038.7,No +5820-PTRYM,Female,1,Yes,No,56,Yes,Yes,DSL,Yes,Yes,Yes,Yes,No,No,One year,Yes,Credit card (automatic),68.45,4014,No +9609-BENEA,Male,0,Yes,No,35,Yes,Yes,DSL,No,Yes,No,Yes,Yes,No,One year,Yes,Electronic check,69,2441.7,No +6211-WHMYA,Female,1,No,No,64,No,No phone service,DSL,No,Yes,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,43.85,2751,No +4459-BBGHE,Male,0,No,Yes,30,No,No phone service,DSL,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,44.5,1307.8,No +9945-PSVIP,Female,0,Yes,Yes,25,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Mailed check,18.7,383.65,No +1041-RXHRA,Female,0,No,No,41,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),70.25,2868.05,Yes +1750-CSKKM,Male,0,No,Yes,9,Yes,No,DSL,No,No,No,No,Yes,No,Month-to-month,No,Electronic check,55.35,449.75,Yes +9108-EJFJP,Female,0,Yes,No,1,Yes,No,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,53.55,53.55,No +0530-IJVDB,Male,0,No,Yes,70,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Electronic check,114.6,7882.5,No +0508-SQWPL,Female,0,Yes,Yes,57,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),20.1,1087.7,No +2215-ZAFGX,Male,0,No,No,9,Yes,Yes,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Electronic check,85.5,791.7,No +8213-TAZPM,Female,0,Yes,Yes,69,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Bank transfer (automatic),108.75,7493.05,No +7142-HVGBG,Male,1,Yes,No,43,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,103,4414.3,Yes +1304-SEGFY,Female,0,Yes,No,72,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,Two year,Yes,Electronic check,97.85,6841.3,No +7242-EDTYC,Male,0,No,Yes,44,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),19.55,819.95,No +2904-GGUAZ,Female,0,Yes,No,72,Yes,Yes,Fiber optic,Yes,Yes,No,No,No,No,Two year,Yes,Bank transfer (automatic),84.05,6052.25,No +8267-ZNYVZ,Female,0,Yes,No,33,Yes,No,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,103.75,3361.05,Yes +5136-GFPMB,Male,0,No,No,54,Yes,Yes,Fiber optic,No,No,Yes,No,No,Yes,Month-to-month,No,Credit card (automatic),89.4,4869.5,No +2595-KIWPV,Male,0,No,Yes,27,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Credit card (automatic),19.7,509.3,No +5243-SAOTC,Male,0,No,No,54,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),79.85,4308.25,No +9398-MMQTO,Male,0,No,No,3,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,No,Credit card (automatic),74.45,221.1,No +7619-PLRLP,Female,0,Yes,No,53,Yes,Yes,DSL,Yes,Yes,Yes,No,No,Yes,One year,No,Bank transfer (automatic),74.1,3833.95,No +6457-GIRWB,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.35,69.35,Yes +6508-NJYRO,Male,0,Yes,No,15,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Mailed check,18.8,294.95,No +1450-SKCVI,Female,0,No,No,56,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,73.85,4092.85,Yes +4710-NKCAW,Male,0,Yes,Yes,5,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,Month-to-month,No,Credit card (automatic),64.4,316.9,No +5306-BVTKJ,Male,0,Yes,Yes,48,Yes,No,DSL,No,Yes,Yes,No,No,No,One year,Yes,Credit card (automatic),55.8,2651.2,No +0357-NVCRI,Female,0,No,Yes,25,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Credit card (automatic),20.05,471.7,No +5570-PTWEH,Female,0,Yes,No,3,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),75.15,216.75,Yes +2371-KFUOG,Male,0,No,No,58,Yes,No,Fiber optic,Yes,Yes,No,No,Yes,Yes,One year,No,Bank transfer (automatic),99.15,5720.95,No +0463-ZSDNT,Male,0,No,No,10,Yes,No,DSL,No,No,No,No,No,Yes,Month-to-month,Yes,Bank transfer (automatic),56.75,503.25,No +6502-MJQAE,Male,0,No,No,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,69.6,69.6,Yes +6257-DTAYD,Male,0,Yes,No,71,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),104.15,7365.3,No +4616-ULAOA,Female,0,Yes,Yes,65,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Credit card (automatic),110.8,7245.9,No +7693-LCKZL,Male,0,Yes,Yes,5,Yes,Yes,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,80.15,385,Yes +7746-AWNQW,Female,0,No,No,28,No,No phone service,DSL,No,No,Yes,Yes,No,No,Month-to-month,Yes,Mailed check,35.75,961.4,No +5996-EBTKM,Female,0,Yes,Yes,67,Yes,Yes,DSL,No,No,Yes,Yes,No,Yes,Two year,Yes,Bank transfer (automatic),69.9,4615.9,No +2758-RNWXS,Male,0,No,No,35,Yes,No,Fiber optic,Yes,No,No,Yes,No,Yes,One year,Yes,Electronic check,89.2,3251.3,No +2314-TNDJQ,Female,0,Yes,Yes,72,No,No phone service,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,No,Credit card (automatic),55.65,3880.05,No +2405-LBMUW,Female,0,Yes,Yes,61,No,No phone service,DSL,Yes,Yes,No,Yes,No,Yes,One year,Yes,Bank transfer (automatic),50.7,3088.75,No +3454-JFUBC,Male,1,No,No,68,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),20,1396,No +0032-PGELS,Female,0,Yes,Yes,1,No,No phone service,DSL,Yes,No,No,No,No,No,Month-to-month,No,Bank transfer (automatic),30.5,30.5,Yes +9039-ZVJDC,Male,0,No,No,3,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.1,53.05,No +6797-LNAQX,Male,0,Yes,Yes,70,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,Two year,No,Bank transfer (automatic),98.3,6859.5,Yes +9013-AQORL,Female,0,No,Yes,48,No,No phone service,DSL,No,Yes,Yes,No,No,Yes,Month-to-month,No,Credit card (automatic),45.55,2108.35,No +2898-MRKPI,Male,0,Yes,Yes,68,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,One year,Yes,Credit card (automatic),101.05,6770.5,No +2750-BJLSB,Female,0,No,No,47,Yes,No,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,103.7,4730.6,No +3648-GZPHF,Male,0,Yes,Yes,32,No,No phone service,DSL,No,No,Yes,Yes,No,No,One year,Yes,Mailed check,36.25,1151.05,No +2075-RMJIK,Female,0,Yes,Yes,5,Yes,No,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Mailed check,49.4,232.55,No +9588-YRFHY,Male,0,No,No,49,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Credit card (automatic),19.9,1022.6,No +6394-MFYNG,Female,0,No,No,48,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Bank transfer (automatic),107.4,5121.3,Yes +1564-NTYXF,Female,1,No,No,13,Yes,Yes,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,82,1127.2,Yes +9364-YKUVW,Male,0,No,No,15,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,19.8,309.4,No +5392-AKEMH,Female,0,No,No,12,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,45.05,523.1,No +2451-YMUXS,Male,1,No,No,67,Yes,Yes,DSL,Yes,Yes,No,Yes,No,No,Two year,Yes,Bank transfer (automatic),64.55,4250.1,No +3914-FDRHP,Male,0,No,No,9,Yes,No,Fiber optic,No,No,No,Yes,Yes,No,Month-to-month,No,Electronic check,86.25,770.5,No +3078-ZKNTS,Female,0,Yes,Yes,13,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),19.75,246.7,No +1024-KPRBB,Female,0,No,No,38,Yes,No,Fiber optic,No,No,No,No,Yes,Yes,One year,Yes,Mailed check,89.1,3342,No +4690-PKDQG,Female,1,Yes,No,42,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Electronic check,95.55,3930.6,No +8155-IBNHG,Female,0,Yes,No,24,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),75.4,1747.85,Yes +0886-QGENL,Female,1,Yes,No,27,Yes,No,Fiber optic,Yes,No,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,101.25,2754.45,Yes +9547-ITEFG,Male,0,Yes,Yes,9,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),102.6,897.75,No +1264-FUHCX,Female,0,Yes,No,49,No,No phone service,DSL,No,Yes,No,Yes,Yes,Yes,One year,Yes,Credit card (automatic),56.3,2780.6,No +7789-CRUVC,Female,1,Yes,No,61,Yes,Yes,Fiber optic,Yes,Yes,Yes,Yes,No,No,Month-to-month,Yes,Credit card (automatic),94.2,5895.45,No +6598-KELSS,Male,0,No,Yes,50,No,No phone service,DSL,Yes,Yes,No,No,Yes,No,One year,Yes,Bank transfer (automatic),43.05,2208.05,No +8739-WWKDU,Male,1,No,No,25,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,89.5,2196.15,Yes +8685-WHQPW,Female,1,No,No,22,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),74.4,1692.6,Yes +4745-LSPLO,Male,0,No,No,1,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,No,Mailed check,20.5,20.5,Yes +8083-YTZES,Male,0,No,No,4,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.35,265.35,Yes +7240-FQLHE,Female,1,Yes,No,18,Yes,Yes,Fiber optic,No,No,No,Yes,Yes,Yes,Month-to-month,No,Bank transfer (automatic),99.75,1836.25,Yes +6664-FPDAC,Female,1,No,No,56,Yes,Yes,Fiber optic,No,Yes,Yes,Yes,Yes,Yes,One year,Yes,Electronic check,111.95,6418.9,Yes +9972-VAFJJ,Female,1,Yes,No,53,Yes,No,Fiber optic,No,Yes,Yes,Yes,Yes,No,One year,Yes,Electronic check,94,4871.45,No +0422-UXFAP,Female,0,Yes,No,51,Yes,Yes,Fiber optic,No,No,Yes,No,Yes,Yes,One year,Yes,Electronic check,98.85,4947.55,No +1904-WAJAA,Female,0,Yes,Yes,24,Yes,Yes,DSL,Yes,Yes,Yes,No,No,No,Two year,No,Electronic check,64.35,1558.65,No +5130-YPIRV,Female,0,Yes,No,62,Yes,No,DSL,Yes,Yes,Yes,No,Yes,No,Two year,Yes,Credit card (automatic),72,4284.2,No +2843-CQMEG,Male,0,No,No,24,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,49.7,1218.25,No +6439-PKTRR,Female,0,Yes,Yes,70,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,No,Two year,No,Electronic check,80.7,5617.95,No +5351-QESIO,Male,0,No,Yes,1,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Mailed check,24.2,24.2,No +0786-VSSUD,Male,1,No,No,16,No,No phone service,DSL,No,Yes,No,No,Yes,No,Month-to-month,Yes,Mailed check,39,679.85,Yes +5568-DMXZS,Female,0,No,No,8,Yes,No,DSL,No,Yes,No,Yes,Yes,No,Month-to-month,Yes,Electronic check,65.45,554.45,No +8468-FZTOE,Female,0,Yes,Yes,72,Yes,No,DSL,Yes,Yes,Yes,Yes,No,Yes,Two year,Yes,Electronic check,74.35,5237.4,No +6633-SYEUS,Female,0,No,No,23,Yes,No,Fiber optic,No,Yes,Yes,Yes,No,No,Month-to-month,No,Bank transfer (automatic),83.2,2032.3,No +6447-GORXK,Male,0,No,Yes,31,No,No phone service,DSL,No,No,No,No,No,No,Month-to-month,No,Credit card (automatic),25,789.2,No +6967-PEJLL,Male,0,Yes,Yes,37,No,No phone service,DSL,Yes,No,Yes,Yes,No,No,One year,Yes,Electronic check,40.2,1525.35,No +3976-BWUCK,Female,0,Yes,No,30,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,No,Month-to-month,Yes,Credit card (automatic),94.1,2804.45,Yes +5981-ZVXOT,Female,1,No,No,35,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,108.35,3726.15,No +1684-FLBGS,Female,0,Yes,Yes,23,Yes,Yes,DSL,No,Yes,No,Yes,Yes,No,Month-to-month,Yes,Credit card (automatic),69.5,1652.1,No +1389-WNUIB,Female,0,Yes,Yes,20,Yes,Yes,DSL,Yes,No,No,No,Yes,Yes,One year,No,Bank transfer (automatic),76,1588.75,No +0376-OIWME,Male,0,Yes,No,36,Yes,No,Fiber optic,Yes,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,93.6,3366.05,No +3585-ISXZP,Female,0,No,No,8,Yes,Yes,Fiber optic,No,No,No,No,Yes,Yes,Month-to-month,No,Bank transfer (automatic),95.65,778.1,Yes +0218-QNVAS,Male,0,Yes,Yes,71,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,Yes,One year,No,Bank transfer (automatic),100.55,7113.75,No +6583-QGCSI,Female,1,Yes,No,50,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,88.05,4367.35,Yes +0804-YGEQV,Female,0,Yes,Yes,43,Yes,Yes,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,Yes,Bank transfer (automatic),24.45,993.15,No +7164-BPTUT,Male,0,No,Yes,57,Yes,Yes,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,No,Mailed check,89.55,5012.35,No +4174-LPGTI,Female,0,Yes,Yes,41,Yes,No,DSL,No,Yes,No,Yes,No,Yes,One year,Yes,Bank transfer (automatic),66.5,2728.6,Yes +2523-EWWZL,Female,0,Yes,No,27,Yes,No,Fiber optic,No,Yes,No,No,No,No,Month-to-month,Yes,Electronic check,76.1,2093.4,No +0928-XUTSN,Female,0,No,No,13,Yes,No,Fiber optic,No,No,No,No,No,Yes,Month-to-month,Yes,Electronic check,80.5,1011.8,No +2108-XWMPY,Male,0,No,No,3,No,No phone service,DSL,Yes,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,35.45,106.85,Yes +0052-YNYOT,Female,0,No,No,67,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Electronic check,20.55,1343.4,No +6304-IJFSQ,Male,0,No,No,3,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,Yes,Mailed check,49.9,130.1,Yes +9586-JGQKH,Female,0,Yes,No,64,Yes,Yes,Fiber optic,No,Yes,No,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),105.4,6794.75,No +4501-VCPFK,Male,0,No,No,26,No,No phone service,DSL,No,No,Yes,Yes,No,No,Month-to-month,No,Electronic check,35.75,1022.5,No +6075-SLNIL,Male,0,No,No,38,Yes,Yes,Fiber optic,No,Yes,Yes,No,No,Yes,Month-to-month,Yes,Credit card (automatic),95.1,3691.2,No +9347-AERRL,Male,0,Yes,No,23,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,One year,No,Credit card (automatic),19.3,486.2,No +0093-XWZFY,Male,0,No,No,40,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Credit card (automatic),104.5,4036.85,Yes +2274-XUATA,Male,1,Yes,No,72,No,No phone service,DSL,Yes,Yes,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),63.1,4685.55,No +1980-KXVPM,Female,1,No,No,3,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),75.05,256.25,Yes +7703-ZEKEF,Male,0,No,No,23,Yes,Yes,Fiber optic,No,No,Yes,No,No,No,Month-to-month,Yes,Electronic check,81,1917.1,Yes +0723-DRCLG,Female,1,Yes,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,74.45,74.45,Yes +5482-NUPNA,Female,0,No,No,4,Yes,No,DSL,Yes,Yes,No,Yes,No,No,Month-to-month,Yes,Mailed check,60.4,272.15,Yes +6691-CCIHA,Female,0,Yes,No,62,Yes,Yes,DSL,Yes,Yes,No,Yes,Yes,Yes,Two year,Yes,Electronic check,84.95,5150.55,No +1685-BQULA,Female,0,No,No,40,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),93.4,3756.4,No +9053-EJUNL,Male,0,No,No,41,Yes,Yes,Fiber optic,No,Yes,No,No,Yes,No,Month-to-month,Yes,Electronic check,89.2,3645.75,No +0666-UXTJO,Male,1,Yes,No,34,Yes,No,Fiber optic,No,No,Yes,No,Yes,No,Month-to-month,Yes,Credit card (automatic),85.2,2874.45,No +1471-GIQKQ,Female,0,No,No,1,Yes,No,DSL,No,Yes,No,No,No,No,Month-to-month,No,Electronic check,49.95,49.95,No +4807-IZYOZ,Female,0,No,No,51,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Bank transfer (automatic),20.65,1020.75,No +1122-JWTJW,Male,0,Yes,Yes,1,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,70.65,70.65,Yes +9710-NJERN,Female,0,No,No,39,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,No,Mailed check,20.15,826,No +9837-FWLCH,Male,0,Yes,Yes,12,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Electronic check,19.2,239,No +1699-HPSBG,Male,0,No,No,12,Yes,No,DSL,No,No,No,Yes,Yes,No,One year,Yes,Electronic check,59.8,727.8,Yes +7203-OYKCT,Male,0,No,No,72,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Electronic check,104.95,7544.3,No +1035-IPQPU,Female,1,Yes,No,63,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,Month-to-month,Yes,Electronic check,103.5,6479.4,No +7398-LXGYX,Male,0,Yes,No,44,Yes,Yes,Fiber optic,Yes,No,Yes,No,No,No,Month-to-month,Yes,Credit card (automatic),84.8,3626.35,No +2823-LKABH,Female,0,No,No,18,Yes,Yes,Fiber optic,No,No,Yes,Yes,No,Yes,Month-to-month,Yes,Bank transfer (automatic),95.05,1679.4,No +8775-CEBBJ,Female,0,No,No,9,Yes,No,DSL,No,No,No,No,No,No,Month-to-month,Yes,Bank transfer (automatic),44.2,403.35,Yes +0550-DCXLH,Male,0,No,No,13,Yes,No,DSL,No,Yes,No,Yes,Yes,Yes,Month-to-month,No,Mailed check,73.35,931.55,No +9281-CEDRU,Female,0,Yes,No,68,Yes,No,DSL,No,Yes,No,Yes,Yes,No,Two year,No,Bank transfer (automatic),64.1,4326.25,No +2235-DWLJU,Female,1,No,No,6,No,No phone service,DSL,No,No,No,No,Yes,Yes,Month-to-month,Yes,Electronic check,44.4,263.05,No +0871-OPBXW,Female,0,No,No,2,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Month-to-month,Yes,Mailed check,20.05,39.25,No +3605-JISKB,Male,1,Yes,No,55,Yes,Yes,DSL,Yes,Yes,No,No,No,No,One year,No,Credit card (automatic),60,3316.1,No +6894-LFHLY,Male,1,No,No,1,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Electronic check,75.75,75.75,Yes +9767-FFLEM,Male,0,No,No,38,Yes,No,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Credit card (automatic),69.5,2625.25,No +0639-TSIQW,Female,0,No,No,67,Yes,Yes,Fiber optic,Yes,Yes,Yes,No,Yes,No,Month-to-month,Yes,Credit card (automatic),102.95,6886.25,Yes +8456-QDAVC,Male,0,No,No,19,Yes,No,Fiber optic,No,No,No,No,Yes,No,Month-to-month,Yes,Bank transfer (automatic),78.7,1495.1,No +7750-EYXWZ,Female,0,No,No,12,No,No phone service,DSL,No,Yes,Yes,Yes,Yes,Yes,One year,No,Electronic check,60.65,743.3,No +2569-WGERO,Female,0,No,No,72,Yes,No,No,No internet service,No internet service,No internet service,No internet service,No internet service,No internet service,Two year,Yes,Bank transfer (automatic),21.15,1419.4,No +6840-RESVB,Male,0,Yes,Yes,24,Yes,Yes,DSL,Yes,No,Yes,Yes,Yes,Yes,One year,Yes,Mailed check,84.8,1990.5,No +2234-XADUH,Female,0,Yes,Yes,72,Yes,Yes,Fiber optic,No,Yes,Yes,No,Yes,Yes,One year,Yes,Credit card (automatic),103.2,7362.9,No +4801-JZAZL,Female,0,Yes,Yes,11,No,No phone service,DSL,Yes,No,No,No,No,No,Month-to-month,Yes,Electronic check,29.6,346.45,No +8361-LTMKD,Male,1,Yes,No,4,Yes,Yes,Fiber optic,No,No,No,No,No,No,Month-to-month,Yes,Mailed check,74.4,306.6,Yes +3186-AJIEK,Male,0,No,No,66,Yes,No,Fiber optic,Yes,No,Yes,Yes,Yes,Yes,Two year,Yes,Bank transfer (automatic),105.65,6844.5,No diff --git a/a0.1/Assignments/a1.11/a1.11.py b/a0.1/Assignments/a1.11/a1.11.py new file mode 100644 index 0000000..87b5f13 --- /dev/null +++ b/a0.1/Assignments/a1.11/a1.11.py @@ -0,0 +1,41 @@ +# Install dependencies as needed: +# pip install kagglehub[pandas-datasets] +import pandas as pd +import kagglehub +from kagglehub import KaggleDatasetAdapter + +# Set the path to the file you'd like to load +file_path = "WA_Fn-UseC_-Telco-Customer-Churn.csv" + +# Load the latest version +df = kagglehub.load_dataset( + KaggleDatasetAdapter.PANDAS, + "blastchar/telco-customer-churn", + file_path, + # Provide any additional arguments like + # sql_query or pandas_kwargs. See the + # documenation for more information: + # https://github.com/Kaggle/kagglehub/blob/main/README.md#kaggledatasetadapterpandas +) + +pd.set_option("display.max_columns", None) +# print("First 5 records:", df.head()) +# print(df.shape) +# print(df.columns) +# print(df.tail) +# print(df.sample(10)) +# print(df.info()) +# print(df.describe()) +# print(df.describe(include="object")) +for col in df.columns: + print(f"{col}: {df[col].uniqe()}") +print(df.nunique()) + +# print(df.isnull()) +# print(df.isnull().sum()) +# print(df.isnull().sum().sum()) +# df['TotalCharges'] = pd.to_numeric(df['TotalCharges'], errors='coerce') +# print(df.info()) +# print(df.isnull().sum().sum()) +# df['TotalCharges'].fillna(['TotalCarges'].median, inplace = True) +# df['TotalCharges'] = df['TotalCharges'].fillna(['TotalCarges'].median()) diff --git a/a0.1/Copy_of_Assignment_01_Python__Nexus__RezaShokrzad.ipynb b/a0.1/Copy_of_Assignment_01_Python__Nexus__RezaShokrzad.ipynb index b63ec79..67a4e1c 100644 --- a/a0.1/Copy_of_Assignment_01_Python__Nexus__RezaShokrzad.ipynb +++ b/a0.1/Copy_of_Assignment_01_Python__Nexus__RezaShokrzad.ipynb @@ -22,7 +22,11 @@ "colab_type": "text" }, "source": [ +<<<<<<< HEAD + "\"Open" +======= "\"Open" +>>>>>>> 763e05f (first commit) ] }, { @@ -90,6 +94,29 @@ }, { "cell_type": "code", +<<<<<<< HEAD + "execution_count": null, + "metadata": { + "id": "lmaiboJe8E15", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 377 + }, + "outputId": "ec95dd5a-ac91-4cab-e431-6151fdcd145a" + }, + "outputs": [ + { + "output_type": "error", + "ename": "KeyboardInterrupt", + "evalue": "Interrupted by user", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/tmp/ipython-input-635499762.py\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;31m# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;31m# TODO:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0mcelsius_text\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0minput\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Enter temperature in Celsius: \"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5\u001b[0m \u001b[0mcelsius\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfloat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcelsius_text\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0mfahrenheit\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mcelsius\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0;36m9\u001b[0m \u001b[0;34m/\u001b[0m \u001b[0;36m5\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0;36m32\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/usr/local/lib/python3.12/dist-packages/ipykernel/kernelbase.py\u001b[0m in \u001b[0;36mraw_input\u001b[0;34m(self, prompt)\u001b[0m\n\u001b[1;32m 1175\u001b[0m \u001b[0;34m\"raw_input was called, but this frontend does not support input requests.\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1176\u001b[0m )\n\u001b[0;32m-> 1177\u001b[0;31m return self._input_request(\n\u001b[0m\u001b[1;32m 1178\u001b[0m \u001b[0mstr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mprompt\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1179\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_parent_ident\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m\"shell\"\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/usr/local/lib/python3.12/dist-packages/ipykernel/kernelbase.py\u001b[0m in \u001b[0;36m_input_request\u001b[0;34m(self, prompt, ident, parent, password)\u001b[0m\n\u001b[1;32m 1217\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mKeyboardInterrupt\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1218\u001b[0m \u001b[0;31m# re-raise KeyboardInterrupt, to truncate traceback\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1219\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mKeyboardInterrupt\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Interrupted by user\"\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1220\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mException\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1221\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlog\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwarning\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Invalid Message:\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mexc_info\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mKeyboardInterrupt\u001b[0m: Interrupted by user" +======= "execution_count": 2, "metadata": { "id": "lmaiboJe8E15", @@ -105,6 +132,7 @@ "text": [ "Enter temperature in Celsius: 20\n", "20.00°C is 68.00°F\n" +>>>>>>> 763e05f (first commit) ] } ], @@ -112,7 +140,10 @@ "# 👉 a Celsius temperature (as text), convert it to float,\n", "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", "# TODO:\n", +<<<<<<< HEAD +======= "\n", +>>>>>>> 763e05f (first commit) "celsius_text = input(\"Enter temperature in Celsius: \")\n", "celsius = float(celsius_text)\n", "fahrenheit = celsius * 9 / 5 + 32\n", diff --git a/a0.1/Descriptive Statistics_SoroorParsafar.py b/a0.1/Descriptive Statistics_SoroorParsafar.py new file mode 100644 index 0000000..bb58e6c --- /dev/null +++ b/a0.1/Descriptive Statistics_SoroorParsafar.py @@ -0,0 +1,91 @@ +# -*- coding: utf-8 -*- +"""Copy of Assignment 06. Descriptive Stats | Nexus | RezaShokrzad.ipynb + +Automatically generated by Colab. + +Original file is located at + https://colab.research.google.com/drive/1Tu1UYX3Ky4UWDUSYgneKM8om-y2oUrdy + +# 📚 Assignment 06 — Descriptive Statistics + + +

    📢⚠️📂

    + +

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    + +

    🚨📝🧠

    + +------------------------------------------------ + + + +## 📘 Exploring Descriptive Statistics with NumPy & SciPy +This assignment guides you through generating random data, analyzing its statistical properties, and visualizing it using plots. +""" + +# 📦 Import Required Libraries +import numpy as np +from scipy import stats +import matplotlib.pyplot as plt + +# 🎲 Step 1: Generate Random Integer List +np.random.seed(42) # For reproducibility +data = np.random.randint(20, 40, size=30) +print("Generated Data:", data) + +"""### 📊 Step 2: Central Tendency and Quantiles +Let's compute basic statistics — mean, median, mode, and quantiles. +""" + +# 📐 Central Tendency +# mean +mean_val = np.mean(data) +# median +median_val = np.median(data) +# mode +mode_val = stats.mode(data, keepdims=True).mode[0] + +# 📏 Quantiles +q1 = np.quantile(data, 0.25) +q3 = np.quantile(data, 0.75) + +print(f"Mean: {mean_val}") +print(f"Median: {median_val}") +print(f"Mode: {mode_val}") +print(f"Q1 (25%): {q1}") +print(f"Q3 (75%): {q3}") + +"""### 🧪 Step 3: Skewness and Kurtosis +Skewness shows asymmetry, and kurtosis indicates the "tailedness" of the distribution. +""" + +# 📉 Skewness and Kurtosis +skew_val = stats.skew(data) +kurtosis_val = stats.kurtosis(data) + +print(f"Skewness: {skew_val:.2f}") +print(f"Kurtosis: {kurtosis_val:.2f}") + +"""### 📈 Step 4: Visualization - Bar Chart and Boxplot +Visualize the data to better understand its distribution and spread. +""" + +# 📊 Bar Plot +plt.figure(figsize=(12, 4)) + +plt.subplot(1, 2, 1) +# make a bar chart +plt.bar(range(len(data)), data) +plt.title("Bar Plot of Random Data") +plt.xlabel("Index") +plt.ylabel("Value") + +# 📦 Boxplot +plt.subplot(1, 2, 2) +# make a box plot +plt.boxplot(data, vert=False) +plt.title("Boxplot of Random Data") +plt.xlabel("Value") + +plt.tight_layout() +plt.show() \ No newline at end of file diff --git a/a0.1/Exercises/01-readcsvfile.py b/a0.1/Exercises/01-readcsvfile.py new file mode 100644 index 0000000..a26641b --- /dev/null +++ b/a0.1/Exercises/01-readcsvfile.py @@ -0,0 +1,22 @@ +import pandas as pd +df = pd.read_csv('E:/Nexus/Nexus_Assignments/Exercises/access.csv') +print(df.head(4)) +print(df.tail(2)) +print(df.shape) +print(df.columns) +print(df.columns.tolist()) +print(df.dtypes) +print(df.info()) +df.to_feather('access.feather') +df2 = pd.read_feather('access.feather') +print(df2.head()) +df3 = pd.read_parquet('titanic.parquet') +print(df3.head()) +df4 = pd.read_json('fruits.json') +print(df4.head()) +df4.to_excel('fruits.xlsx') +df5 = pd.read_excel('fruits.xlsx') +print(df5.head()) +# import nltk +# nltk.download('punkt') +# nltk.download('punkt_tab') \ No newline at end of file diff --git a/a0.1/Exercises/02-hugginface.py b/a0.1/Exercises/02-hugginface.py new file mode 100644 index 0000000..943c5ed --- /dev/null +++ b/a0.1/Exercises/02-hugginface.py @@ -0,0 +1,28 @@ +# If needed: +# !pip install datasets + +import matplotlib.pyplot as plt +from datasets import load_dataset, load_dataset_builder +from collections import Counter + +ds = load_dataset("imdb") + +# Basic structure +print(ds) +print("Train rows:", ds["train"].num_rows, "Test rows:", ds["test"].num_rows) +print("Features:", load_dataset_builder("imdb").info.features) + +# Label balance (train) +label_counts = Counter(ds["train"]["label"]) +print("Label counts:", label_counts) + +# Bar chart +plt.bar(["Negative","Positive"], [label_counts[0], label_counts[1]]) +plt.title("IMDB Sentiment Distribution (Train)") +plt.ylabel("Count") +plt.tight_layout() +plt.show() + +# Sample row +ds["train"][0] + diff --git a/a0.1/Exercises/02-kaggle.py b/a0.1/Exercises/02-kaggle.py new file mode 100644 index 0000000..68c4274 --- /dev/null +++ b/a0.1/Exercises/02-kaggle.py @@ -0,0 +1,20 @@ +# If needed: +# !pip install "kagglehub[pandas-datasets]" + +import kagglehub +from kagglehub import KaggleDatasetAdapter + +# kagglehub.login() # uncomment if required on your environment + +handle = "kunshbhatia/delhi-air-quality-dataset" +file_in_dataset = "delhi_air_quality.csv" # adjust if the filename differs + +df_kaggle = kagglehub.dataset_load( + KaggleDatasetAdapter.PANDAS, + handle, + file_in_dataset, +) + +print("Kaggle (Delhi Air) shape:", df_kaggle.shape) +print(df_kaggle.head()) +print(df_kaggle.isna().sum().sort_values(ascending=False).head(10)) diff --git a/a0.1/Exercises/02-openml.py b/a0.1/Exercises/02-openml.py new file mode 100644 index 0000000..9c106ae --- /dev/null +++ b/a0.1/Exercises/02-openml.py @@ -0,0 +1,20 @@ +# If needed: +# !pip install openml + +import openml + +d_irish = openml.datasets.get_dataset(451) # "irish" +target_col = d_irish.default_target_attribute +X_irish, y_irish, cat_ind, names = d_irish.get_data(dataset_format="dataframe", target=target_col) + +df_irish = X_irish.copy() +df_irish[target_col] = y_irish + +print("OpenML 'irish' shape:", df_irish.shape) +print(df_irish.head()) +print("Target:", target_col) +print("Categorical flags per feature:", dict(zip(names, cat_ind))) +print(df_irish.isna().sum().sort_values(ascending=False)) + +# Simple target distribution +df_irish[target_col].value_counts(dropna=False) diff --git a/a0.1/Exercises/02-sklearn.py b/a0.1/Exercises/02-sklearn.py new file mode 100644 index 0000000..ae7f792 --- /dev/null +++ b/a0.1/Exercises/02-sklearn.py @@ -0,0 +1,64 @@ +import pandas as pd +import numpy as np +import matplotlib.pyplot as plt + +# from sklearn.datasets import fetch_california_housing +# calDB = fetch_california_housing() + +# from sklearn.datasets import load_iris +# irisDB = load_iris() +# print(irisDB.items()) +# print(irisDB.keys()) +# print(irisDB.values()) +# print(irisDB['data'][:5]) +# print(irisDB['feature_names']) +# print(irisDB.target) +# print(irisDB.data.shape) +# print(irisDB.target_names) +# print(irisDB.target_names.tolist()) +# print(irisDB.DESCR) +# print(irisDB.filename) +# X = irisDB.data +# y = irisDB.target +# print(X) +# print(y) +# df = pd.DataFrame(X, columns=irisDB.feature_names) +# df['target'] = irisDB.target +# print(df.shape) +# print(df.corr()) + +# from sklearn.datasets import make_moons +from sklearn.datasets import load_iris, fetch_california_housing, make_moons +# --- Iris (toy, tabular) --- +iris = load_iris() +X_iris = iris.data +y_iris = iris.target +df_iris = pd.DataFrame(X_iris, columns=iris.feature_names) +df_iris["target"] = y_iris + +print("Iris shape:", df_iris.shape) +print(df_iris.head()) +print(df_iris.isna().sum().to_dict()) + +# --- California Housing (realistic, tabular) --- +cal = fetch_california_housing() +df_cal = pd.DataFrame(cal.data, columns=cal.feature_names) +df_cal["MedHouseVal"] = cal.target + +print("\nCalifornia shape:", df_cal.shape) +print(df_cal.head()) +print(df_cal.isna().sum().to_dict()) + +# --- Synthetic Moons (controlled patterns) --- +X_moon, y_moon = make_moons(n_samples=400, noise=0.15) +df_moon = pd.DataFrame(X_moon, columns=["x1","x2"]) +df_moon["label"] = y_moon +print("\nMoons shape:", df_moon.shape) +print(df_moon.head()) + +# Quick visuals (optional) +plt.figure(figsize=(4,3)) +plt.scatter(df_moon["x1"], df_moon["x2"], c=df_moon["label"]) +plt.title("make_moons() scatter") +plt.tight_layout() +plt.show() diff --git a/a0.1/Exercises/02-uci.py b/a0.1/Exercises/02-uci.py new file mode 100644 index 0000000..a0afa8e --- /dev/null +++ b/a0.1/Exercises/02-uci.py @@ -0,0 +1,17 @@ +# If needed: +# !pip install ucimlrepo + +from ucimlrepo import fetch_ucirepo + +heart = fetch_ucirepo(id=45) # Heart Disease +X_uci = heart.data.features +y_uci = heart.data.targets + +df_uci = X_uci.copy() +for c in y_uci.columns: + df_uci[c] = y_uci[c] + +print("UCI Heart shape:", df_uci.shape) +print(df_uci.head()) +print("Targets:", list(y_uci.columns)) +print(df_uci.isna().sum().sort_values(ascending=False).head(10)) diff --git a/a0.1/Exercises/access.csv b/a0.1/Exercises/access.csv new file mode 100644 index 0000000..3016328 --- /dev/null +++ b/a0.1/Exercises/access.csv @@ -0,0 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"language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "8YulQRADcq-e" + }, + "source": [ + "#Discriptive Statistics" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "BANXK4VMcqLd" + }, + "source": [ + "import numpy as np" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Bd_nvQnVcpcd", + "outputId": "a22e1b7e-03c3-4387-d9b5-efe54f238956" + }, + "source": [ + "#list of integers\n", + "import random; ex = random.choices(range(10, 36), k=20)\n", + "type(ex)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "list" + ] + }, + "metadata": {}, + "execution_count": 3 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Nlow2Qxqe642", + "outputId": "667717b5-8924-45f3-f46c-316786d464ec" + }, + "source": [ + "np.min(ex), np.max(ex)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "(10, 35)" + ] + }, + "metadata": {}, + "execution_count": 4 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "5_ZJZI33fHDI", + "outputId": "796115e8-e419-4168-f028-17abba7b7e34" + }, + "source": [ + "#طول لیست = تعداد عناصر آرایه\n", + "len(ex)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "20" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "pOS8K0HStMeo", + "outputId": "529dfabe-058c-4688-fa79-e31593f31be8" + }, + "source": [ + "#\n", + "sum(ex)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "428" + ] + }, + "metadata": {}, + "execution_count": 6 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "tt7dBshKtY_m", + "outputId": "b53b9ecd-217e-4797-acb6-6334084c7f76" + }, + "source": [ + "#میانگین دستی داده‌ها\n", + "ex_ = sum(ex) / len(ex)\n", + "ex_" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "21.4" + ] + }, + "metadata": {}, + "execution_count": 8 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "FFaXp8nGfKpt", + "outputId": "e3122f7c-8eaf-442b-9b49-e0044c06592b" + }, + "source": [ + "#میانگین داده‌ها\n", + "np.mean(ex)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "21.4" + ] + }, + "metadata": {}, + "execution_count": 9 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "8lM6_sZvfckl", + "outputId": "81051515-81bf-4cf7-e5c2-9dbce84fe107" + }, + "source": [ + "#مرتب‌سازی لیست\n", + "np.sort(ex)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([10, 11, 12, 13, 14, 15, 17, 18, 19, 23, 23, 23, 23, 23, 24, 30, 31,\n", + " 32, 32, 35])" + ] + }, + "metadata": {}, + "execution_count": 11 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "AQjwNGuGfS8x", + "outputId": "7b5ae1df-1fd8-42be-ffe3-523186a74992" + }, + "source": [ + "#میانه\n", + "np.median(ex)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "23.0" + ] + }, + "metadata": {}, + "execution_count": 15 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "BL18XIxuff5y", + "outputId": "5f542e66-5d8c-4392-ced2-bd234569ef37" + }, + "source": [ + "#مد\n", + "from scipy import stats\n", + "stats.mode(ex)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "ModeResult(mode=array([23]), count=array([5]))" + ] + }, + "metadata": {}, + "execution_count": 19 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "t5lHn9Yif3HS", + "outputId": "42d84387-2dbf-4f96-ebde-1d1d3a13804a" + }, + "source": [ + "#انحراف معیار\n", + "np.std(ex)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "7.4993333037010705" + ] + }, + "metadata": {}, + "execution_count": 20 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "lj6DwG6Hg30s", + "outputId": "3e9a57ae-75eb-41ed-bbcb-57737f5862fa" + }, + "source": [ + "#واریانس\n", + "np.var(ex)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "56.24000000000001" + ] + }, + "metadata": {}, + "execution_count": 21 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "OWzqfdsXg7lN", + "outputId": "ce1a4183-b97f-44c1-a0cc-cc5c9f27f799" + }, + "source": [ + "#صدک\n", + "np.percentile(ex, 75)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "25.5" + ] + }, + "metadata": {}, + "execution_count": 25 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "cc5BK1pUhIEy", + "outputId": "27e58f13-4452-4258-e6ad-ce8bbfe9696a" + }, + "source": [ + "#چارک\n", + "np.quantile(ex, q=0.5)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "23.0" + ] + }, + "metadata": {}, + "execution_count": 27 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "_lwJ7aRPhTAj", + "outputId": "e5dd4e35-ce26-4355-a3f7-546143877aaa" + }, + "source": [ + "#لیست حاوی مقدار نامعلوم\n", + "#missing values!\n", + "ex_nan = [23, 12, 24, 32, 30, None, 10, 15, 18, 23, 23, 14, 13, 31, 23, 19, 23, 32, 17, 35]\n", + "type(ex_nan)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "list" + ] + }, + "metadata": {}, + "execution_count": 28 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "jLzVlqPTibCu", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 346 + }, + "outputId": "d819199e-8844-47ca-9835-336058ae2e6b" + }, + "source": [ + "np.mean(ex_nan)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "error", + "ename": "TypeError", + "evalue": "ignored", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmean\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mex_nan\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;32m<__array_function__ internals>\u001b[0m in \u001b[0;36mmean\u001b[0;34m(*args, **kwargs)\u001b[0m\n", + "\u001b[0;32m/usr/local/lib/python3.7/dist-packages/numpy/core/fromnumeric.py\u001b[0m in \u001b[0;36mmean\u001b[0;34m(a, axis, dtype, out, keepdims)\u001b[0m\n\u001b[1;32m 3371\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3372\u001b[0m return _methods._mean(a, axis=axis, dtype=dtype,\n\u001b[0;32m-> 3373\u001b[0;31m out=out, **kwargs)\n\u001b[0m\u001b[1;32m 3374\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3375\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/usr/local/lib/python3.7/dist-packages/numpy/core/_methods.py\u001b[0m in \u001b[0;36m_mean\u001b[0;34m(a, axis, dtype, out, keepdims)\u001b[0m\n\u001b[1;32m 158\u001b[0m \u001b[0mis_float16_result\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;32mTrue\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 159\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 160\u001b[0;31m \u001b[0mret\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mumr_sum\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0marr\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0maxis\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdtype\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mout\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkeepdims\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 161\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0misinstance\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mret\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmu\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndarray\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 162\u001b[0m ret = um.true_divide(\n", + "\u001b[0;31mTypeError\u001b[0m: unsupported operand type(s) for +: 'int' and 'NoneType'" + ] + } + ] + } + ] +} \ No newline at end of file diff --git "a/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_15_Types_of_ML.ipynb" "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_15_Types_of_ML.ipynb" new file mode 100644 index 0000000..a4f46d6 --- /dev/null +++ "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_15_Types_of_ML.ipynb" @@ -0,0 +1,215 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "lIYdn1woOS1n" + }, + "outputs": [], + "source": [ + "# import supervised models\n", + "from sklearn.linear_model import LinearRegression, LogisticRegression\n", + "from sklearn.svm import SVC, SVR\n", + "from sklearn.neighbors import KNeighborsClassifier, KNeighborsRegressor\n", + "from sklearn.tree import DecisionTreeClassifier, DecisionTreeRegressor\n", + "from sklearn.ensemble import RandomForestClassifier, RandomForestRegressor\n", + "from sklearn.naive_bayes import GaussianNB\n", + "from sklearn.neural_network import MLPClassifier, MLPRegressor\n", + "\n", + "# import unsupervised models\n", + "from sklearn.cluster import KMeans, DBSCAN, AgglomerativeClustering\n", + "from sklearn.decomposition import PCA\n", + "from sklearn.manifold import TSNE\n", + "from sklearn.ensemble import IsolationForest\n" + ] + }, + { + "cell_type": "code", + "source": [ + "# training and inference phase\n", + "model = LinearRegression()\n", + "model.fit(X_train, y_train)\n", + "y_pred = model.predict(X_test)\n", + "\n", + "\n", + "\n", + "unsupervised_model = KMeans(n_clusters=3)\n", + "unsupervised_model.fit(X_train)\n", + "y_pred = unsupervised_model.predict(X_test)" + ], + "metadata": { + "id": "A2Wu5zE79HQv" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "models = {\n", + " \"Supervised\": [\n", + " LinearRegression(),\n", + " LogisticRegression(),\n", + " SVC(),\n", + " SVR(),\n", + " KNeighborsClassifier(),\n", + " KNeighborsRegressor(),\n", + " DecisionTreeClassifier(),\n", + " DecisionTreeRegressor(),\n", + " RandomForestClassifier(),\n", + " RandomForestRegressor(),\n", + " GaussianNB(),\n", + " ],\n", + " \"Unsupervised\": [\n", + " KMeans(),\n", + " DBSCAN(),\n", + " AgglomerativeClustering(),\n", + " PCA(),\n", + " TSNE(),\n", + " IsolationForest(),\n", + " ]\n", + "\n", + "}" + ], + "metadata": { + "id": "bFb5yuVC-751" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "models.keys()" + ], + "metadata": { + "id": "dymlXN8L_mri", + "outputId": "fbb2485d-486c-47ca-e9d9-8c073f7c886f", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "dict_keys(['Supervised', 'Unsupervised'])" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ] + }, + { + "cell_type": "code", + "source": [ + "models.values()" + ], + "metadata": { + "id": "tIOQHstl_pnC", + "outputId": "2f112528-6bdc-4feb-ee01-2ce9b9ea3b2b", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "dict_values([[LinearRegression(), LogisticRegression(), SVC(), SVR(), KNeighborsClassifier(), KNeighborsRegressor(), DecisionTreeClassifier(), DecisionTreeRegressor(), RandomForestClassifier(), RandomForestRegressor(), GaussianNB()], [KMeans(), DBSCAN(), AgglomerativeClustering(), PCA(), TSNE(), IsolationForest()]])" + ] + }, + "metadata": {}, + "execution_count": 6 + } + ] + }, + { + "cell_type": "code", + "source": [ + "models.items()" + ], + "metadata": { + "id": "N1a5oJc9_v-4", + "outputId": "116e687e-cc17-4a04-9dad-5f79ef720fb0", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "dict_items([('Supervised', [LinearRegression(), LogisticRegression(), SVC(), SVR(), KNeighborsClassifier(), KNeighborsRegressor(), DecisionTreeClassifier(), DecisionTreeRegressor(), RandomForestClassifier(), RandomForestRegressor(), GaussianNB()]), ('Unsupervised', [KMeans(), DBSCAN(), AgglomerativeClustering(), PCA(), TSNE(), IsolationForest()])])" + ] + }, + "metadata": {}, + "execution_count": 7 + } + ] + }, + { + "cell_type": "code", + "source": [ + "for category, model_list in models.items():\n", + " print(f\"{category} Models:\")\n", + " for model in model_list:\n", + " print(f\"- {model.__class__.__name__}\")" + ], + "metadata": { + "id": "txeNEwiC_zcA", + "outputId": "dab81b12-f38e-49ce-f3f1-b72ade6ed895", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Supervised Models:\n", + "- LinearRegression\n", + "- LogisticRegression\n", + "- SVC\n", + "- SVR\n", + "- KNeighborsClassifier\n", + "- KNeighborsRegressor\n", + "- DecisionTreeClassifier\n", + "- DecisionTreeRegressor\n", + "- RandomForestClassifier\n", + "- RandomForestRegressor\n", + "- GaussianNB\n", + "Unsupervised Models:\n", + "- KMeans\n", + "- DBSCAN\n", + "- AgglomerativeClustering\n", + "- PCA\n", + "- TSNE\n", + "- IsolationForest\n" + ] + } + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} \ No newline at end of file diff --git "a/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_16_PyTorch_Introduction.ipynb" "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_16_PyTorch_Introduction.ipynb" new file mode 100644 index 0000000..1b9cb0d --- /dev/null +++ "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_16_PyTorch_Introduction.ipynb" @@ -0,0 +1,3292 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "SBCeIdK_4-_x" + }, + "source": [ + "#Introduction to PyTorch" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "lgcv7U5Q4-_6" + }, + "source": [ + "There are many great tutorials online, including the [\"60-min blitz\"](https://pytorch.org/tutorials/beginner/deep_learning_60min_blitz.html) on the official [PyTorch website](https://pytorch.org/tutorials/)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "sq9YyfNJ4-_9" + }, + "outputs": [], + "source": [ + "## Standard libraries\n", + "import os\n", + "import math\n", + "import numpy as np\n", + "import time\n", + "\n", + "## Imports for plotting\n", + "import matplotlib.pyplot as plt\n", + "#%matplotlib inline #jupyter notebook\n", + "from IPython.display import set_matplotlib_formats\n", + "set_matplotlib_formats('svg', 'pdf') # For export\n", + "from matplotlib.colors import to_rgba\n", + "import seaborn as sns\n", + "sns.set()\n", + "\n", + "## Progress bar\n", + "from tqdm.notebook import tqdm" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "aMIjdx9p4-__" + }, + "source": [ + "## PyTorch Basics\n", + "\n", + "As a prerequisite, we recommend to be familiar with the `numpy` package as most machine learning frameworks are based on very similar concepts.\n", + "Let's start with **importing** PyTorch. The package is called `torch`, based on its original framework [Torch](http://torch.ch/). As a first step, we can check its **version**:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "9BGoNVhl4_AA", + "outputId": "98a42fb1-3369-4dd2-a802-ffac173ef459", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Using torch 1.11.0+cu113\n" + ] + } + ], + "source": [ + "import torch\n", + "print(\"Using torch\", torch.__version__)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "VRpk9FvY4_AB" + }, + "source": [ + "As in every machine learning framework, PyTorch provides functions that are stochastic like generating random numbers. However, a very good practice is to setup your code to be reproducible with the exact same random numbers. This is why we set a seed below." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "-_j8lErf4_AD", + "outputId": "7566a328-8de2-451a-c452-3ad99f4df849", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 32 + } + ], + "source": [ + "torch.manual_seed(42) # Setting the seed" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "3XJKRXLd4_AE" + }, + "source": [ + "## Tensors\n", + "\n", + "Tensors are the PyTorch equivalent to Numpy arrays, with the addition to also have support for GPU acceleration (more on that later).\n", + "The name \"tensor\" is a generalization of concepts you already know. For instance, a vector is a 1-D tensor, and a matrix a 2-D tensor. When working with neural networks, we will use tensors of various shapes and number of dimensions.\n", + "\n", + "Most common functions you know from numpy can be used on tensors as well. Actually, since numpy arrays are so similar to tensors, we can convert most tensors to numpy arrays (and back) but we don't need it too often.\n", + "\n", + "### Initialization\n", + "\n", + "Let's first start by looking at different ways of creating a tensor. There are many possible options, the most simple one is to call `torch.Tensor` passing the desired shape as input argument:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "QJpjh3A24_AF", + "outputId": "fe255a3b-2810-4e68-ff7c-c06a735a3ff7", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "tensor([[[3.8032e-35, 0.0000e+00, 7.0065e-44, 7.0065e-44],\n", + " [6.3058e-44, 6.7262e-44, 7.4269e-44, 6.3058e-44],\n", + " [7.0065e-44, 7.2868e-44, 1.1771e-43, 7.0065e-44]],\n", + "\n", + " [[6.7262e-44, 8.1275e-44, 7.1466e-44, 6.8664e-44],\n", + " [8.1275e-44, 7.1466e-44, 7.0065e-44, 6.4460e-44],\n", + " [6.7262e-44, 7.9874e-44, 7.2868e-44, 7.0065e-44]]])\n" + ] + } + ], + "source": [ + "x = torch.Tensor(2, 3, 4)\n", + "print(x)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "eil6nlPY4_AG" + }, + "source": [ + "The function `torch.Tensor` allocates memory for the desired tensor, but reuses any values that have already been in the memory. To directly assign values to the tensor during initialization, there are many alternatives including:\n", + "\n", + "* `torch.zeros`: Creates a tensor filled with zeros\n", + "* `torch.ones`: Creates a tensor filled with ones\n", + "* `torch.rand`: Creates a tensor with random values uniformly sampled between 0 and 1\n", + "* `torch.randn`: Creates a tensor with random values sampled from a normal distribution with mean 0 and variance 1\n", + "* `torch.arange`: Creates a tensor containing the values $N,N+1,N+2,...,M$\n", + "* `torch.Tensor` (input list): Creates a tensor from the list elements you provide" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Pm_q-lIT4_AH", + "outputId": "6e364821-e97d-439f-e7db-e02c6fca42a4", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "tensor([[1., 2.],\n", + " [3., 4.]])\n" + ] + } + ], + "source": [ + "# Create a tensor from a (nested) list\n", + "x = torch.Tensor([[1, 2], [3, 4]])\n", + "print(x)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "INfjoqC54_AH", + "outputId": "d037b9b4-0cce-4c36-97a6-59dc08a6fa5e", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "tensor([[[0.8823, 0.9150, 0.3829, 0.9593],\n", + " [0.3904, 0.6009, 0.2566, 0.7936],\n", + " [0.9408, 0.1332, 0.9346, 0.5936]],\n", + "\n", + " [[0.8694, 0.5677, 0.7411, 0.4294],\n", + " [0.8854, 0.5739, 0.2666, 0.6274],\n", + " [0.2696, 0.4414, 0.2969, 0.8317]]])\n" + ] + } + ], + "source": [ + "# Create a tensor with random values between 0 and 1 with the shape [2, 3, 4]\n", + "x = torch.rand(2, 3, 4)\n", + "print(x)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "3svWUXeU4_AI" + }, + "source": [ + "You can obtain the shape of a tensor in the same way as in numpy (`x.shape`), or using the `.size` method:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Jadryf-_4_AI", + "outputId": "d041203a-d897-462d-e1a4-09086d17e845", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Shape: torch.Size([2, 3, 4])\n", + "Size: torch.Size([2, 3, 4])\n", + "Size: 2 3 4\n" + ] + } + ], + "source": [ + "shape = x.shape\n", + "print(\"Shape:\", x.shape)\n", + "\n", + "size = x.size()\n", + "print(\"Size:\", size)\n", + "\n", + "dim1, dim2, dim3 = x.size()\n", + "print(\"Size:\", dim1, dim2, dim3)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "FszMCTCt4_AJ" + }, + "source": [ + "### Tensor to Numpy, and Numpy to Tensor\n", + "\n", + "Tensors can be converted to numpy arrays, and numpy arrays back to tensors. To transform a numpy array into a tensor, we can use the function `torch.from_numpy`:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "pusiqk2t4_AJ", + "outputId": "87c76652-be3c-4b34-8625-e0191546f050", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Numpy array: [[1 2]\n", + " [3 4]]\n", + "PyTorch tensor: tensor([[1, 2],\n", + " [3, 4]])\n" + ] + } + ], + "source": [ + "np_arr = np.array([[1, 2], [3, 4]])\n", + "tensor = torch.from_numpy(np_arr)\n", + "\n", + "print(\"Numpy array:\", np_arr)\n", + "print(\"PyTorch tensor:\", tensor)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "bEPAswnY4_AK" + }, + "source": [ + "To transform a PyTorch tensor back to a numpy array, we can use the function `.numpy()` on tensors:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "VwexWTjL4_AK", + "outputId": "b88529b8-89a0-4215-fd5a-f56bd3084f10", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "PyTorch tensor: tensor([0, 1, 2, 3])\n", + "Numpy array: [0 1 2 3]\n" + ] + } + ], + "source": [ + "tensor = torch.arange(4)\n", + "np_arr = tensor.numpy()\n", + "\n", + "print(\"PyTorch tensor:\", tensor)\n", + "print(\"Numpy array:\", np_arr)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "0wLzStLw4_AL" + }, + "source": [ + "The conversion of tensors to numpy require the tensor to be on the CPU, and not the GPU (more on GPU support in a later section). In case you have a tensor on GPU, you need to call `.cpu()` on the tensor beforehand. Hence, you get a line like `np_arr = tensor.cpu().numpy()`." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "k087mepQ4_AL" + }, + "source": [ + "#### Operations\n", + "\n", + "Most operations that exist in numpy, also exist in PyTorch. A full list of operations can be found in the [PyTorch documentation](https://pytorch.org/docs/stable/tensors.html#), but we will review the most important ones here.\n", + "\n", + "The simplest operation is to add two tensors:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "tfzhIUMQ4_AL", + "outputId": "e5546709-8a02-45b4-a548-9c4a228008a1", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "X1 tensor([[0.1053, 0.2695, 0.3588],\n", + " [0.1994, 0.5472, 0.0062]])\n", + "X2 tensor([[0.9516, 0.0753, 0.8860],\n", + " [0.5832, 0.3376, 0.8090]])\n", + "Y tensor([[1.0569, 0.3448, 1.2448],\n", + " [0.7826, 0.8848, 0.8151]])\n" + ] + } + ], + "source": [ + "x1 = torch.rand(2, 3)\n", + "x2 = torch.rand(2, 3)\n", + "y = x1 + x2\n", + "\n", + "print(\"X1\", x1)\n", + "print(\"X2\", x2)\n", + "print(\"Y\", y)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "MNAErIv84_AM" + }, + "source": [ + "Calling `x1 + x2` creates a new tensor containing the sum of the two inputs. However, we can also use in-place operations that are applied directly on the memory of a tensor. We therefore change the values of `x2` without the chance to re-accessing the values of `x2` before the operation. An example is shown below:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "QVQHLJxZ4_AM", + "outputId": "59daa707-d5e9-4c7f-ce2f-322c828d5025", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "X1 (before) tensor([[0.5779, 0.9040, 0.5547],\n", + " [0.3423, 0.6343, 0.3644]])\n", + "X2 (before) tensor([[0.7104, 0.9464, 0.7890],\n", + " [0.2814, 0.7886, 0.5895]])\n", + "X1 (after) tensor([[0.5779, 0.9040, 0.5547],\n", + " [0.3423, 0.6343, 0.3644]])\n", + "X2 (after) tensor([[1.2884, 1.8504, 1.3437],\n", + " [0.6237, 1.4230, 0.9539]])\n" + ] + } + ], + "source": [ + "x1 = torch.rand(2, 3)\n", + "x2 = torch.rand(2, 3)\n", + "print(\"X1 (before)\", x1)\n", + "print(\"X2 (before)\", x2)\n", + "\n", + "x2.add_(x1)\n", + "print(\"X1 (after)\", x1)\n", + "print(\"X2 (after)\", x2)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "79IrjMom4_AN" + }, + "source": [ + "In-place operations are usually marked with a underscore postfix (e.g. \"add_\" instead of \"add\").\n", + "\n", + "Another common operation aims at changing the shape of a tensor. A tensor of size (2,3) can be re-organized to any other shape with the same number of elements (e.g. a tensor of size (6), or (3,2), ...). In PyTorch, this operation is called `view`:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "riZMRgTp4_AO", + "outputId": "3122d342-696a-463f-a46c-4bb918d056aa", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "X tensor([0, 1, 2, 3, 4, 5])\n" + ] + } + ], + "source": [ + "x = torch.arange(6)\n", + "print(\"X\", x)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "rtuXEHW-4_AO", + "outputId": "1199e662-02e8-4a9f-834f-3cb151665dc8", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "X tensor([[0, 1, 2],\n", + " [3, 4, 5]])\n" + ] + } + ], + "source": [ + "x = x.view(2, 3)\n", + "print(\"X\", x)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "rxE4W-Fk4_AO", + "outputId": "af2d8eb1-1dec-45c0-9324-71f0fb8df79a", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "X tensor([[0, 3],\n", + " [1, 4],\n", + " [2, 5]])\n" + ] + } + ], + "source": [ + "x = x.permute(1, 0) # Swapping dimension 0 and 1\n", + "print(\"X\", x)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "vhjInNrb4_AP" + }, + "source": [ + "Other commonly used operations include matrix multiplications, which are essential for neural networks. Quite often, we have an input vector $\\mathbf{x}$, which is transformed using a learned weight matrix $\\mathbf{W}$. There are multiple ways and functions to perform matrix multiplication, some of which we list below:\n", + "\n", + "* `torch.matmul`: Performs the matrix product over two tensors, where the specific behavior depends on the dimensions. If both inputs are matrices (2-dimensional tensors), it performs the standard matrix product. For higher dimensional inputs, the function supports broadcasting (for details see the [documentation](https://pytorch.org/docs/stable/generated/torch.matmul.html?highlight=matmul#torch.matmul)). Can also be written as `a @ b`, similar to numpy.\n", + "* `torch.mm`: Performs the matrix product over two matrices, but doesn't support broadcasting (see [documentation](https://pytorch.org/docs/stable/generated/torch.mm.html?highlight=torch%20mm#torch.mm))\n", + "* `torch.bmm`: Performs the matrix product with a support batch dimension. If the first tensor $T$ is of shape ($b\\times n\\times m$), and the second tensor $R$ ($b\\times m\\times p$), the output $O$ is of shape ($b\\times n\\times p$), and has been calculated by performing $b$ matrix multiplications of the submatrices of $T$ and $R$: $O_i = T_i @ R_i$\n", + "* `torch.einsum`: Performs matrix multiplications and more (i.e. sums of products) using the Einstein summation convention. Explanation of the Einstein sum can be found in assignment 1.\n", + "\n", + "Usually, we use `torch.matmul` or `torch.bmm`. We can try a matrix multiplication with `torch.matmul` below." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "5JimY3bx4_AP", + "outputId": "3125fe4a-cd08-4836-dc93-0935aabbfa53", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "X tensor([[0, 1, 2],\n", + " [3, 4, 5]])\n" + ] + } + ], + "source": [ + "x = torch.arange(6)\n", + "x = x.view(2, 3)\n", + "print(\"X\", x)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "w8adgV7_4_AP", + "outputId": "1e909af3-8f6c-48b3-c74a-60b8d87efbb0", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "W tensor([[0, 1, 2],\n", + " [3, 4, 5],\n", + " [6, 7, 8]])\n" + ] + } + ], + "source": [ + "W = torch.arange(9).view(3, 3) # We can also stack multiple operations in a single line\n", + "print(\"W\", W)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "_NYcdt5N4_AQ", + "outputId": "9c7ec039-d5b7-4a9a-c02b-d6a662149daf", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "h tensor([[15, 18, 21],\n", + " [42, 54, 66]])\n" + ] + } + ], + "source": [ + "h = torch.matmul(x, W) # Verify the result by calculating it by hand too!\n", + "print(\"h\", h)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "5y40NNwT4_AQ" + }, + "source": [ + "#### Indexing\n", + "\n", + "We often have the situation where we need to select a part of a tensor. Indexing works just like in numpy, so let's try it:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "xyH-MRJy4_AQ", + "outputId": "03f118d5-59ad-47a1-8d53-34eff4149ea0", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "X tensor([[ 0, 1, 2, 3],\n", + " [ 4, 5, 6, 7],\n", + " [ 8, 9, 10, 11]])\n" + ] + } + ], + "source": [ + "x = torch.arange(12).view(3, 4)\n", + "print(\"X\", x)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "6dvFXO_h4_AR", + "outputId": "94a03e65-1596-4d93-f815-a2b8b01525cd", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "tensor([1, 5, 9])\n" + ] + } + ], + "source": [ + "print(x[:, 1]) # Second column" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "rKm-mkzg4_AR", + "outputId": "adf3dbf9-69e6-4cdc-997a-172312c7a96d", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "tensor([0, 1, 2, 3])\n" + ] + } + ], + "source": [ + "print(x[0]) # First row" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "m4UWS0qr4_AR", + "outputId": "dc474f52-e26a-4846-dff1-8498b5f246be", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "tensor([3, 7])\n" + ] + } + ], + "source": [ + "print(x[:2, -1]) # First two rows, last column" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "NgPH1LTM4_AS", + "outputId": "18613c3a-f405-4860-9c6d-7ea57c225994", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "tensor([[ 4, 5, 6, 7],\n", + " [ 8, 9, 10, 11]])\n" + ] + } + ], + "source": [ + "print(x[1:3, :]) # Middle two rows" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "qZ_kjjpD4_AS" + }, + "source": [ + "### Dynamic Computation Graph and Backpropagation\n", + "\n", + "One of the main reasons for using PyTorch in Deep Learning projects is that we can automatically get **gradients/derivatives** of functions that we define. We will mainly use PyTorch for implementing neural networks, and they are just fancy functions. If we use weight matrices in our function that we want to learn, then those are called the **parameters** or simply the **weights**.\n", + "\n", + "If our neural network would output a single scalar value, we would talk about taking the **derivative**, but you will see that quite often we will have **multiple** output variables (\"values\"); in that case we talk about **gradients**. It's a more general term.\n", + "\n", + "Given an input $\\mathbf{x}$, we define our function by **manipulating** that input, usually by matrix-multiplications with weight matrices and additions with so-called bias vectors. As we manipulate our input, we are automatically creating a **computational graph**. This graph shows how to arrive at our output from our input.\n", + "PyTorch is a **define-by-run** framework; this means that we can just do our manipulations, and PyTorch will keep track of that graph for us. Thus, we create a dynamic computation graph along the way.\n", + "\n", + "So, to recap: the only thing we have to do is to compute the **output**, and then we can ask PyTorch to automatically get the **gradients**.\n", + "\n", + "> **Note: Why do we want gradients?** Consider that we have defined a function, a neural net, that is supposed to compute a certain output $y$ for an input vector $\\mathbf{x}$. We then define an **error measure** that tells us how wrong our network is; how bad it is in predicting output $y$ from input $\\mathbf{x}$. Based on this error measure, we can use the gradients to **update** the weights $\\mathbf{W}$ that were responsible for the output, so that the next time we present input $\\mathbf{x}$ to our network, the output will be closer to what we want.\n", + "\n", + "The first thing we have to do is to specify which tensors require gradients. By default, when we create a tensor, it does not require gradients." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "o3oka9d34_AS", + "outputId": "69640215-a57f-4d2e-95ae-ab629aff429c", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "False\n" + ] + } + ], + "source": [ + "x = torch.ones((3,))\n", + "print(x.requires_grad)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "KDZr8NdS4_AT" + }, + "source": [ + "We can change this for an existing tensor using the function `requires_grad_()` (underscore indicating that this is a in-place operation). Alternatively, when creating a tensor, you can pass the argument `requires_grad=True` to most initializers we have seen above." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "C-t-LwIN4_AT", + "outputId": "c0a18e2d-6846-42d5-eac4-01882467e913", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "True\n" + ] + } + ], + "source": [ + "x.requires_grad_(True)\n", + "print(x.requires_grad)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "REIpPRwQ4_AT" + }, + "source": [ + "In order to get familiar with the concept of a computation graph, we will create one for the following function:\n", + "\n", + "$$y = \\frac{1}{|x|}\\sum_i \\left[(x_i + 2)^2 + 3\\right]$$\n", + "\n", + "You could imagine that $x$ are our parameters, and we want to optimize (either maximize or minimize) the output $y$. For this, we want to obtain the gradients $\\partial y / \\partial \\mathbf{x}$. For our example, we'll use $\\mathbf{x}=[0,1,2]$ as our input." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "hjmPc1g_4_AT", + "outputId": "150c5a66-d02a-4070-9a42-b70b90dd4286", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "X tensor([0., 1., 2.], requires_grad=True)\n" + ] + } + ], + "source": [ + "x = torch.arange(3, dtype=torch.float32, requires_grad=True) # Only float tensors can have gradients\n", + "print(\"X\", x)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Rnf2jy_f4_AU" + }, + "source": [ + "Now let's build the computation graph step by step. You can combine multiple operations in a single line, but we will separate them here to get a better understanding of how each operation is added to the computation graph." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "UzmmV2DD4_AU", + "outputId": "0c2850bc-04a5-40f7-c39c-ad518aa33fd3", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Y tensor(12.6667, grad_fn=)\n" + ] + } + ], + "source": [ + "a = x + 2\n", + "b = a ** 2\n", + "c = b + 3\n", + "y = c.mean()\n", + "print(\"Y\", y)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "nKpRCH2P4_AU" + }, + "source": [ + "Using the statements above, we have created a computation graph that looks similar to the figure below:\n", + "\n", + "

    \n", + "\n", + "We calculate $a$ based on the inputs $x$ and the constant $2$, $b$ is $a$ squared, and so on. The visualization is an abstraction of the dependencies between inputs and outputs of the operations we have applied.\n", + "Each node of the computation graph has automatically defined a function for calculating the gradients with respect to its inputs, `grad_fn`. You can see this when we printed the output tensor $y$. This is why the computation graph is usually visualized in the reverse direction (arrows point from the result to the inputs). We can perform backpropagation on the computation graph by calling the function `backward()` on the last output, which effectively calculates the gradients for each tensor that has the property `requires_grad=True`:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "1pa0M64X4_AV" + }, + "outputs": [], + "source": [ + "y.backward()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "lWRyGXto4_AV" + }, + "source": [ + "`x.grad` will now contain the gradient $\\partial y/ \\partial \\mathcal{x}$, and this gradient indicates how a change in $\\mathbf{x}$ will affect output $y$ given the current input $\\mathbf{x}=[0,1,2]$:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "5hfdF58G4_AV", + "outputId": "952c6a45-fe88-4eec-d47d-a3288baf2181", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "tensor([1.3333, 2.0000, 2.6667])\n" + ] + } + ], + "source": [ + "print(x.grad)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "y7uU3PfK4_AV" + }, + "source": [ + "We can also verify these gradients by hand. We will calculate the gradients using the chain rule, in the same way as PyTorch did it:\n", + "\n", + "$$\\frac{\\partial y}{\\partial x_i} = \\frac{\\partial y}{\\partial c_i}\\frac{\\partial c_i}{\\partial b_i}\\frac{\\partial b_i}{\\partial a_i}\\frac{\\partial a_i}{\\partial x_i}$$\n", + "\n", + "Note that we have simplified this equation to index notation, and by using the fact that all operation besides the mean do not combine the elements in the tensor. The partial derivatives are:\n", + "\n", + "$$\n", + "\\frac{\\partial a_i}{\\partial x_i} = 1,\\hspace{1cm}\n", + "\\frac{\\partial b_i}{\\partial a_i} = 2\\cdot a_i\\hspace{1cm}\n", + "\\frac{\\partial c_i}{\\partial b_i} = 1\\hspace{1cm}\n", + "\\frac{\\partial y}{\\partial c_i} = \\frac{1}{3}\n", + "$$\n", + "\n", + "Hence, with the input being $\\mathbf{x}=[0,1,2]$, our gradients are $\\partial y/\\partial \\mathbf{x}=[4/3,2,8/3]$. The previous code cell should have printed the same result." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "uiWRfK-I4_AV" + }, + "source": [ + "### GPU support\n", + "\n", + "A crucial feature of PyTorch is the support of GPUs, short for Graphics Processing Unit. A GPU can perform many thousands of small operations in parallel, making it very well suitable for performing large matrix operations in neural networks. When comparing GPUs to CPUs, we can list the following main differences (credit: [Kevin Krewell, 2009](https://blogs.nvidia.com/blog/2009/12/16/whats-the-difference-between-a-cpu-and-a-gpu/))\n", + "\n", + "
    \n", + "\n", + "CPUs and GPUs have both different advantages and disadvantages, which is why many computers contain both components and use them for different tasks. In case you are not familiar with GPUs, you can read up more details in this [NVIDIA blog post](https://blogs.nvidia.com/blog/2009/12/16/whats-the-difference-between-a-cpu-and-a-gpu/) or [here](https://www.intel.com/content/www/us/en/products/docs/processors/what-is-a-gpu.html).\n", + "\n", + "GPUs can accelerate the training of your network up to a factor of $100$ which is essential for large neural networks. PyTorch implements a lot of functionality for supporting GPUs (mostly those of NVIDIA due to the libraries [CUDA](https://developer.nvidia.com/cuda-zone) and [cuDNN](https://developer.nvidia.com/cudnn)). First, let's check whether you have a GPU available:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "vljVD9wR4_AW", + "outputId": "2cf97c4f-a355-4be6-8265-43e2e2f8b03e", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Is the GPU available? True\n" + ] + } + ], + "source": [ + "gpu_avail = torch.cuda.is_available()\n", + "print(f\"Is the GPU available? {gpu_avail}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "6HkDP0M14_AW" + }, + "source": [ + "If you have a GPU on your computer but the command above returns False, make sure you have the correct CUDA-version installed. The `dl2021` environment comes with the CUDA-toolkit 11.3, which is selected for the Lisa supercomputer. Please change it if necessary (CUDA 11.1 is currently common on Colab). On Google Colab, make sure that you have selected a GPU in your runtime setup (in the menu, check under `Runtime -> Change runtime type`).\n", + "\n", + "By default, all tensors you create are stored on the CPU. We can push a tensor to the GPU by using the function `.to(...)`, or `.cuda()`. However, it is often a good practice to define a `device` object in your code which points to the GPU if you have one, and otherwise to the CPU. Then, you can write your code with respect to this device object, and it allows you to run the same code on both a CPU-only system, and one with a GPU. Let's try it below. We can specify the device as follows:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "CXmayMT-4_AW", + "outputId": "72797216-f2cb-4428-9bcd-5a169ebd6835", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Device cuda\n" + ] + } + ], + "source": [ + "device = torch.device(\"cuda\") if torch.cuda.is_available() else torch.device(\"cpu\")\n", + "print(\"Device\", device)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "OjPSom6A4_AW" + }, + "source": [ + "Now let's create a tensor and push it to the device:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "_fJzFn2Q4_AX", + "outputId": "c6f2317a-7f4a-4909-ff64-7103b789c801", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "X tensor([[0., 0., 0.],\n", + " [0., 0., 0.]], device='cuda:0')\n" + ] + } + ], + "source": [ + "x = torch.zeros(2, 3)\n", + "x = x.to(device)\n", + "print(\"X\", x)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "0XRa_i-54_AX" + }, + "source": [ + "In case you have a GPU, you should now see the attribute `device='cuda:0'` being printed next to your tensor. The zero next to cuda indicates that this is the zero-th GPU device on your computer. PyTorch also supports multi-GPU systems, but this you will only need once you have very big networks to train (if interested, see the [PyTorch documentation](https://pytorch.org/docs/stable/distributed.html#distributed-basics)). We can also compare the runtime of a large matrix multiplication on the CPU with a operation on the GPU:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "8NBSla0G4_AX", + "outputId": "725663c2-86a6-4c6b-969c-50bbe868b0c8", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "CPU time: 3.47703s\n", + "GPU time: 0.14844s\n" + ] + } + ], + "source": [ + "x = torch.randn(5000, 5000)\n", + "\n", + "## CPU version\n", + "start_time = time.time()\n", + "_ = torch.matmul(x, x)\n", + "end_time = time.time()\n", + "print(f\"CPU time: {(end_time - start_time):6.5f}s\")\n", + "\n", + "## GPU version\n", + "x = x.to(device)\n", + "# CUDA is asynchronous, so we need to use different timing functions\n", + "start = torch.cuda.Event(enable_timing=True)\n", + "end = torch.cuda.Event(enable_timing=True)\n", + "start.record()\n", + "_ = torch.matmul(x, x)\n", + "end.record()\n", + "torch.cuda.synchronize() # Waits for everything to finish running on the GPU\n", + "print(f\"GPU time: {0.001 * start.elapsed_time(end):6.5f}s\") # Milliseconds to seconds" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "JW5Y0SPx4_AY" + }, + "source": [ + "Depending on the size of the operation and the CPU/GPU in your system, the speedup of this operation can be >50x. As `matmul` operations are very common in neural networks, we can already see the great benefit of training a NN on a GPU. The time estimate can be relatively noisy here because we haven't run it for multiple times. Feel free to extend this, but it also takes longer to run.\n", + "\n", + "When generating random numbers, the seed between CPU and GPU is not synchronized. Hence, we need to set the seed on the GPU separately to ensure a reproducible code. Note that due to different GPU architectures, running the same code on different GPUs does not guarantee the same random numbers. Still, we don't want that our code gives us a different output every time we run it on the exact same hardware. Hence, we also set the seed on the GPU:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "1PqR7iLw4_AY" + }, + "outputs": [], + "source": [ + "# GPU operations have a separate seed we also want to set\n", + "if torch.cuda.is_available():\n", + " torch.cuda.manual_seed(42)\n", + " torch.cuda.manual_seed_all(42)\n", + "\n", + "# Additionally, some operations on a GPU are implemented stochastic for efficiency\n", + "# We want to ensure that all operations are deterministic on GPU (if used) for reproducibility\n", + "torch.backends.cudnn.determinstic = True\n", + "torch.backends.cudnn.benchmark = False" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "xuhcGLH64_AY" + }, + "source": [ + "## Learning by example: Continuous XOR\n", + "\n", + "If we want to build a neural network in PyTorch, we could specify all our parameters (weight matrices, bias vectors) using `Tensors` (with `requires_grad=True`), ask PyTorch to calculate the gradients and then adjust the parameters. But things can quickly get cumbersome if we have a lot of parameters. In PyTorch, there is a package called `torch.nn` that makes building neural networks more convenient.\n", + "\n", + "We will introduce the libraries and all additional parts you might need to train a neural network in PyTorch, using a simple example classifier on a simple yet well known example: XOR. Given two binary inputs $x_1$ and $x_2$, the label to predict is $1$ if either $x_1$ or $x_2$ is $1$ while the other is $0$, or the label is $0$ in all other cases. The example became famous by the fact that a single neuron, i.e. a linear classifier, cannot learn this simple function.\n", + "Hence, we will learn how to build a small neural network that can learn this function.\n", + "To make it a little bit more interesting, we move the XOR into continuous space and introduce some gaussian noise on the binary inputs. Our desired separation of an XOR dataset could look as follows:\n", + "\n", + "
    " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "IlWsS5lH4_AY" + }, + "source": [ + "### The model\n", + "\n", + "The package `torch.nn` defines a series of useful classes like linear networks layers, activation functions, loss functions etc. A full list can be found [here](https://pytorch.org/docs/stable/nn.html). In case you need a certain network layer, check the documentation of the package first before writing the layer yourself as the package likely contains the code for it already. We import it below:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "_wbcHfpQ4_AZ" + }, + "outputs": [], + "source": [ + "import torch.nn as nn" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "5hKxRVNn4_AZ" + }, + "source": [ + "Additionally to `torch.nn`, there is also `torch.nn.functional`. It contains functions that are used in network layers. This is in contrast to `torch.nn` which defines them as `nn.Modules` (more on it below), and `torch.nn` actually uses a lot of functionalities from `torch.nn.functional`. Hence, the functional package is useful in many situations, and so we import it as well here." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "qDBxzGiN4_AZ" + }, + "outputs": [], + "source": [ + "import torch.nn.functional as F" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "guUzu5C-4_AZ" + }, + "source": [ + "#### nn.Module\n", + "\n", + "In PyTorch, a neural network is built up out of modules. Modules can contain other modules, and a neural network is considered to be a module itself as well. The basic template of a module is as follows:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "C5bbwtJo4_AZ" + }, + "outputs": [], + "source": [ + "class MyModule(nn.Module):\n", + "\n", + " def __init__(self):\n", + " super().__init__()\n", + " # Some init for my module\n", + "\n", + " def forward(self, x):\n", + " # Function for performing the calculation of the module.\n", + " pass" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ee1wVCxp4_Aa" + }, + "source": [ + "The forward function is where the computation of the module is taken place, and is executed when you call the module (`nn = MyModule(); nn(x)`). In the init function, we usually create the parameters of the module, using `nn.Parameter`, or defining other modules that are used in the forward function. The backward calculation is done automatically, but could be overwritten as well if wanted.\n", + "\n", + "#### Simple classifier\n", + "We can now make use of the pre-defined modules in the `torch.nn` package, and define our own small neural network. We will use a minimal network with a input layer, one hidden layer with tanh as activation function, and a output layer. In other words, our networks should look something like this:\n", + "\n", + "
    \n", + "\n", + "The input neurons are shown in blue, which represent the coordinates $x_1$ and $x_2$ of a data point. The hidden neurons including a tanh activation are shown in white, and the output neuron in red.\n", + "In PyTorch, we can define this as follows:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "OIcu3_t-4_Aa" + }, + "outputs": [], + "source": [ + "class SimpleClassifier(nn.Module):\n", + "\n", + " def __init__(self, num_inputs, num_hidden, num_outputs):\n", + " super().__init__()\n", + " # Initialize the modules we need to build the network\n", + " self.linear1 = nn.Linear(num_inputs, num_hidden)\n", + " self.act_fn = nn.Tanh()\n", + " self.linear2 = nn.Linear(num_hidden, num_outputs)\n", + "\n", + " def forward(self, x):\n", + " # Perform the calculation of the model to determine the prediction\n", + " x = self.linear1(x)\n", + " x = self.act_fn(x)\n", + " x = self.linear2(x)\n", + " return x" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QQrh4xCJ4_Aa" + }, + "source": [ + "For the examples in this notebook, we will use a tiny neural network with two input neurons and four hidden neurons. As we perform binary classification, we will use a single output neuron. Note that we do not apply a sigmoid on the output yet. This is because other functions, especially the loss, are more efficient and precise to calculate on the original outputs instead of the sigmoid output. We will discuss the detailed reason later." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "aLVfo2n44_Aa", + "outputId": "e731b902-81b3-4f72-b815-8aaf57846dcc", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "SimpleClassifier(\n", + " (linear1): Linear(in_features=2, out_features=4, bias=True)\n", + " (act_fn): Tanh()\n", + " (linear2): Linear(in_features=4, out_features=1, bias=True)\n", + ")\n" + ] + } + ], + "source": [ + "model = SimpleClassifier(num_inputs=2, num_hidden=4, num_outputs=1)\n", + "# Printing a module shows all its submodules\n", + "print(model)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wPx3XDh34_Ab" + }, + "source": [ + "Printing the model lists all submodules it contains. The parameters of a module can be obtained by using its `parameters()` functions, or `named_parameters()` to get a name to each parameter object. For our small neural network, we have the following parameters:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "xwoSrSwE4_Ab", + "outputId": "7804d5ac-5bbd-4cca-c064-e1d7f9059794", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Parameter linear1.weight, shape torch.Size([4, 2])\n", + "Parameter linear1.bias, shape torch.Size([4])\n", + "Parameter linear2.weight, shape torch.Size([1, 4])\n", + "Parameter linear2.bias, shape torch.Size([1])\n" + ] + } + ], + "source": [ + "for name, param in model.named_parameters():\n", + " print(f\"Parameter {name}, shape {param.shape}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "PLsLdRBP4_Ab" + }, + "source": [ + "Each linear layer has a weight matrix of the shape `[output, input]`, and a bias of the shape `[output]`. The tanh activation function does not have any parameters. Note that parameters are only registered for `nn.Module` objects that are direct object attributes, i.e. `self.a = ...`. If you define a list of modules, the parameters of those are not registered for the outer module and can cause some issues when you try to optimize your module. There are alternatives, like `nn.ModuleList`, `nn.ModuleDict` and `nn.Sequential`, that allow you to have different data structures of modules. We will use them in a few later tutorials and explain them there." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "IzMdNLPK4_Ab" + }, + "source": [ + "### The data\n", + "\n", + "PyTorch also provides a few functionalities to load the training and test data efficiently, summarized in the package `torch.utils.data`." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "elkMXPTS4_Ab" + }, + "outputs": [], + "source": [ + "import torch.utils.data as data" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "h8ayIK-M4_Ac" + }, + "source": [ + "The data package defines two classes which are the standard interface for handling data in PyTorch: `data.Dataset`, and `data.DataLoader`. The dataset class provides an uniform interface to access the training/test data, while the data loader makes sure to efficiently load and stack the data points from the dataset into batches during training." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "uUFvUDLe4_Ac" + }, + "source": [ + "#### The dataset class\n", + "\n", + "The dataset class summarizes the basic functionality of a dataset in a natural way. To define a dataset in PyTorch, we simply specify two functions: `__getitem__`, and `__len__`. The get-item function has to return the $i$-th data point in the dataset, while the len function returns the size of the dataset. For the XOR dataset, we can define the dataset class as follows:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "U0TJHTld4_Ac" + }, + "outputs": [], + "source": [ + "class XORDataset(data.Dataset):\n", + "\n", + " def __init__(self, size, std=0.1):\n", + " \"\"\"\n", + " Inputs:\n", + " size - Number of data points we want to generate\n", + " std - Standard deviation of the noise (see generate_continuous_xor function)\n", + " \"\"\"\n", + " super().__init__()\n", + " self.size = size\n", + " self.std = std\n", + " self.generate_continuous_xor()\n", + "\n", + " def generate_continuous_xor(self):\n", + " # Each data point in the XOR dataset has two variables, x and y, that can be either 0 or 1\n", + " # The label is their XOR combination, i.e. 1 if only x or only y is 1 while the other is 0.\n", + " # If x=y, the label is 0.\n", + " data = torch.randint(low=0, high=2, size=(self.size, 2), dtype=torch.float32)\n", + " label = (data.sum(dim=1) == 1).to(torch.long)\n", + " # To make it slightly more challenging, we add a bit of gaussian noise to the data points.\n", + " data += self.std * torch.randn(data.shape)\n", + "\n", + " self.data = data\n", + " self.label = label\n", + "\n", + " def __len__(self):\n", + " # Number of data point we have. Alternatively self.data.shape[0], or self.label.shape[0]\n", + " return self.size\n", + "\n", + " def __getitem__(self, idx):\n", + " # Return the idx-th data point of the dataset\n", + " # If we have multiple things to return (data point and label), we can return them as tuple\n", + " data_point = self.data[idx]\n", + " data_label = self.label[idx]\n", + " return data_point, data_label" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "rcbiFhvX4_Ac" + }, + "source": [ + "Let's try to create such a dataset and inspect it:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "dccdlHVs4_Ad", + "outputId": "e6c273a3-c1dd-4bd0-e091-1e9626007942", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Size of dataset: 200\n", + "Data point 0: (tensor([0.9632, 0.1117]), tensor(1))\n" + ] + } + ], + "source": [ + "dataset = XORDataset(size=200)\n", + "print(\"Size of dataset:\", len(dataset))\n", + "print(\"Data point 0:\", dataset[0])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "VtQXFXid4_Ad" + }, + "source": [ + "To better relate to the dataset, we visualize the samples below." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "cWiMG3J-4_Ad" + }, + "outputs": [], + "source": [ + "def visualize_samples(data, label):\n", + " if isinstance(data, torch.Tensor):\n", + " data = data.cpu().numpy()\n", + " if isinstance(label, torch.Tensor):\n", + " label = label.cpu().numpy()\n", + " data_0 = data[label == 0]\n", + " data_1 = data[label == 1]\n", + "\n", + " plt.figure(figsize=(4,4))\n", + " plt.scatter(data_0[:,0], data_0[:,1], edgecolor=\"#333\", label=\"Class 0\")\n", + " plt.scatter(data_1[:,0], data_1[:,1], edgecolor=\"#333\", label=\"Class 1\")\n", + " plt.title(\"Dataset samples\")\n", + " plt.ylabel(r\"$x_2$\")\n", + " plt.xlabel(r\"$x_1$\")\n", + " plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "NrY9XZUn4_Ad", + "outputId": "ba502c22-c0b8-4dd1-f530-fd74d04525b0", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "visualize_samples(dataset.data, dataset.label)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "0ATLBiM04_Ae" + }, + "source": [ + "#### The data loader class\n", + "\n", + "The class `torch.utils.data.DataLoader` represents a Python iterable over a dataset with support for automatic batching, multi-process data loading and many more features. The data loader communicates with the dataset using the function `__getitem__`, and stacks its outputs as tensors over the first dimension to form a batch.\n", + "In contrast to the dataset class, we usually don't have to define our own data loader class, but can just create an object of it with the dataset as input. Additionally, we can configure our data loader with the following input arguments (only a selection, see full list [here](https://pytorch.org/docs/stable/data.html#torch.utils.data.DataLoader)):\n", + "\n", + "* `batch_size`: Number of samples to stack per batch\n", + "* `shuffle`: If True, the data is returned in a random order. This is important during training for introducing stochasticity.\n", + "* `num_workers`: Number of subprocesses to use for data loading. The default, 0, means that the data will be loaded in the main process which can slow down training for datasets where loading a data point takes a considerable amount of time (e.g. large images). More workers are recommended for those, but can cause issues on Windows computers. For tiny datasets as ours, 0 workers are usually faster.\n", + "* `pin_memory`: If True, the data loader will copy Tensors into CUDA pinned memory before returning them. This can save some time for large data points on GPUs. Usually a good practice to use for a training set, but not necessarily for validation and test to save memory on the GPU.\n", + "* `drop_last`: If True, the last batch is dropped in case it is smaller than the specified batch size. This occurs when the dataset size is not a multiple of the batch size. Only potentially helpful during training to keep a consistent batch size.\n", + "\n", + "Let's create a simple data loader below:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "oJrGpx5E4_Ae" + }, + "outputs": [], + "source": [ + "data_loader = data.DataLoader(dataset, batch_size=8, shuffle=True)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "pGt3q_lO4_Ae", + "outputId": "de950d8a-2ac5-4f55-a1cb-2f7e3d3a88ad", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Data inputs torch.Size([8, 2]) \n", + " tensor([[-0.0890, 0.8608],\n", + " [ 1.0905, -0.0128],\n", + " [ 0.7967, 0.2268],\n", + " [-0.0688, 0.0371],\n", + " [ 0.8732, -0.2240],\n", + " [-0.0559, -0.0282],\n", + " [ 0.9277, 0.0978],\n", + " [ 1.0150, 0.9689]])\n", + "Data labels torch.Size([8]) \n", + " tensor([1, 1, 1, 0, 1, 0, 1, 0])\n" + ] + } + ], + "source": [ + "# next(iter(...)) catches the first batch of the data loader\n", + "# If shuffle is True, this will return a different batch every time we run this cell\n", + "# For iterating over the whole dataset, we can simple use \"for batch in data_loader: ...\"\n", + "data_inputs, data_labels = next(iter(data_loader))\n", + "\n", + "# The shape of the outputs are [batch_size, d_1,...,d_N] where d_1,...,d_N are the\n", + "# dimensions of the data point returned from the dataset class\n", + "print(\"Data inputs\", data_inputs.shape, \"\\n\", data_inputs)\n", + "print(\"Data labels\", data_labels.shape, \"\\n\", data_labels)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "fIGXRmKV4_Ae" + }, + "source": [ + "### Optimization\n", + "\n", + "After defining the model and the dataset, it is time to prepare the optimization of the model. During training, we will perform the following steps:\n", + "\n", + "1. Get a batch from the data loader\n", + "2. Obtain the predictions from the model for the batch\n", + "3. Calculate the loss based on the difference between predictions and labels\n", + "4. Backpropagation: calculate the gradients for every parameter with respect to the loss\n", + "5. Update the parameters of the model in the direction of the gradients\n", + "\n", + "We have seen how we can do step 1, 2 and 4 in PyTorch. Now, we will look at step 3 and 5." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "_hIrKg4s4_Af" + }, + "source": [ + "#### Loss modules\n", + "\n", + "We can calculate the loss for a batch by simply performing a few tensor operations as those are automatically added to the computation graph. For instance, for binary classification, we can use Binary Cross Entropy (BCE) which is defined as follows:\n", + "\n", + "$$\\mathcal{L}_{BCE} = -\\sum_i \\left[ y_i \\log x_i + (1 - y_i) \\log (1 - x_i) \\right]$$\n", + "\n", + "where $y$ are our labels, and $x$ our predictions, both in the range of $[0,1]$. However, PyTorch already provides a list of predefined loss functions which we can use (see [here](https://pytorch.org/docs/stable/nn.html#loss-functions) for a full list). For instance, for BCE, PyTorch has two modules: `nn.BCELoss()`, `nn.BCEWithLogitsLoss()`. While `nn.BCELoss` expects the inputs $x$ to be in the range $[0,1]$, i.e. the output of a sigmoid, `nn.BCEWithLogitsLoss` combines a sigmoid layer and the BCE loss in a single class. This version is numerically more stable than using a plain Sigmoid followed by a BCE loss because of the logarithms applied in the loss function. Hence, it is adviced to use loss functions applied on \"logits\" where possible (remember to not apply a sigmoid on the output of the model in this case!). For our model defined above, we therefore use the module `nn.BCEWithLogitsLoss`." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "AlGyML444_Af" + }, + "outputs": [], + "source": [ + "loss_module = nn.BCEWithLogitsLoss()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BziBXsfV4_Af" + }, + "source": [ + "#### Stochastic Gradient Descent\n", + "\n", + "For updating the parameters, PyTorch provides the package `torch.optim` that has most popular optimizers implemented. We will discuss the specific optimizers and their differences later in the course, but will for now use the simplest of them: `torch.optim.SGD`. Stochastic Gradient Descent updates parameters by multiplying the gradients with a small constant, called learning rate, and subtracting those from the parameters (hence minimizing the loss). Therefore, we slowly move towards the direction of minimizing the loss. A good default value of the learning rate for a small network as ours is 0.1." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "sd9z_B4r4_Af" + }, + "outputs": [], + "source": [ + "# Input to the optimizer are the parameters of the model: model.parameters()\n", + "optimizer = torch.optim.SGD(model.parameters(), lr=0.1)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "kcCTgWm64_Af" + }, + "source": [ + "The optimizer provides two useful functions: `optimizer.step()`, and `optimizer.zero_grad()`. The step function updates the parameters based on the gradients as explained above. The function `optimizer.zero_grad()` sets the gradients of all parameters to zero. While this function seems less relevant at first, it is a crucial pre-step before performing backpropagation. If we would call the `backward` function on the loss while the parameter gradients are non-zero from the previous batch, the new gradients would actually be added to the previous ones instead of overwriting them. This is done because a parameter might occur multiple times in a computation graph, and we need to sum the gradients in this case instead of replacing them. Hence, remember to call `optimizer.zero_grad()` before calculating the gradients of a batch." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "5JBJ_NFR4_Ag" + }, + "source": [ + "### Training\n", + "\n", + "Finally, we are ready to train our model. As a first step, we create a slightly larger dataset and specify a data loader with a larger batch size." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "54j0b31K4_Ag" + }, + "outputs": [], + "source": [ + "train_dataset = XORDataset(size=2500)\n", + "train_data_loader = data.DataLoader(train_dataset, batch_size=128, shuffle=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Jc2dtGGJ4_Ag" + }, + "source": [ + "Now, we can write a small training function. Remember our five steps: load a batch, obtain the predictions, calculate the loss, backpropagate, and update. Additionally, we have to push all data and model parameters to the device of our choice (GPU if available). For the tiny neural network we have, communicating the data to the GPU actually takes much more time than we could save from running the operation on GPU. For large networks, the communication time is significantly smaller than the actual runtime making a GPU crucial in these cases. Still, to practice, we will push the data to GPU here." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "I2YxS4Wu4_Ag", + "outputId": "c94d2f18-b56e-49a7-d5b1-9057f63d57f2", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "SimpleClassifier(\n", + " (linear1): Linear(in_features=2, out_features=4, bias=True)\n", + " (act_fn): Tanh()\n", + " (linear2): Linear(in_features=4, out_features=1, bias=True)\n", + ")" + ] + }, + "metadata": {}, + "execution_count": 79 + } + ], + "source": [ + "# Push model to device. Has to be only done once\n", + "model.to(device)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "qDKclQnC4_Ag" + }, + "source": [ + "In addition, we set our model to training mode. This is done by calling `model.train()`. There exist certain modules that need to perform a different forward step during training than during testing (e.g. BatchNorm and Dropout), and we can switch between them using `model.train()` and `model.eval()`." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "XfMrXzgS4_Ah" + }, + "outputs": [], + "source": [ + "def train_model(model, optimizer, data_loader, loss_module, num_epochs=100):\n", + " # Set model to train mode\n", + " model.train()\n", + "\n", + " # Training loop\n", + " for epoch in tqdm(range(num_epochs)):\n", + " for data_inputs, data_labels in data_loader:\n", + "\n", + " ## Step 1: Move input data to device (only strictly necessary if we use GPU)\n", + " data_inputs = data_inputs.to(device)\n", + " data_labels = data_labels.to(device)\n", + "\n", + " ## Step 2: Run the model on the input data\n", + " preds = model(data_inputs)\n", + " preds = preds.squeeze(dim=1) # Output is [Batch size, 1], but we want [Batch size]\n", + "\n", + " ## Step 3: Calculate the loss\n", + " loss = loss_module(preds, data_labels.float())\n", + "\n", + " ## Step 4: Perform backpropagation\n", + " # Before calculating the gradients, we need to ensure that they are all zero.\n", + " # The gradients would not be overwritten, but actually added to the existing ones.\n", + " optimizer.zero_grad()\n", + " # Perform backpropagation\n", + " loss.backward()\n", + "\n", + " ## Step 5: Update the parameters\n", + " optimizer.step()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "rc0u6Eja4_Ah", + "outputId": "c9ce7b06-9f0a-4bb0-fffe-0f1423b34144", + "colab": { + "base_uri": "https://localhost:8080/", + "referenced_widgets": [ + "8f77981965c240ef808b7cdd8d352cce", + "b705d6268387481cb08c28445dadd8d4", + "078591503cac4eaf85cf3c6f81b5c84f", + "a3c21412aa684dcca539a444ef52f1a6", + "ee0d63e9f9a84ef4ad83604a0c5a5e98", + "95a96a23d0da41edb8a95955dfc452cc", + "98c647013e7a4910a77c0c869c0a75e2", + "2413e05b5232490bb29c2bd1ece03eca", + "154abd17ecb64a86a99af945e18fb4a2", + "2e96a26957474f86baa86893900c9769", + "246be9746fed47249129775fc7e5d9be" + ] + } + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + " 0%| | 0/100 [00:00 Don't drop the last batch although it is smaller than 128\n", + "test_data_loader = data.DataLoader(test_dataset, batch_size=128, shuffle=False, drop_last=False)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "RGGQ5NT_4_Aj" + }, + "source": [ + "As metric, we will use accuracy which is calculated as follows:\n", + "\n", + "$$acc = \\frac{\\#\\text{correct predictions}}{\\#\\text{all predictions}} = \\frac{TP+TN}{TP+TN+FP+FN}$$\n", + "\n", + "where TP are the true positives, TN true negatives, FP false positives, and FN the fale negatives.\n", + "\n", + "When evaluating the model, we don't need to keep track of the computation graph as we don't intend to calculate the gradients. This reduces the required memory and speed up the model. In PyTorch, we can deactivate the computation graph using `with torch.no_grad(): ...`. Remember to additionally set the model to eval mode." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "je9T70mQ4_Ak" + }, + "outputs": [], + "source": [ + "def eval_model(model, data_loader):\n", + " model.eval() # Set model to eval mode\n", + " true_preds, num_preds = 0., 0.\n", + "\n", + " with torch.no_grad(): # Deactivate gradients for the following code\n", + " for data_inputs, data_labels in data_loader:\n", + "\n", + " # Determine prediction of model on dev set\n", + " data_inputs, data_labels = data_inputs.to(device), data_labels.to(device)\n", + " preds = model(data_inputs)\n", + " preds = preds.squeeze(dim=1)\n", + " preds = torch.sigmoid(preds) # Sigmoid to map predictions between 0 and 1\n", + " pred_labels = (preds >= 0.5).long() # Binarize predictions to 0 and 1\n", + "\n", + " # Keep records of predictions for the accuracy metric (true_preds=TP+TN, num_preds=TP+TN+FP+FN)\n", + " true_preds += (pred_labels == data_labels).sum()\n", + " num_preds += data_labels.shape[0]\n", + "\n", + " acc = true_preds / num_preds\n", + " print(f\"Accuracy of the model: {100.0*acc:4.2f}%\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "6dWeedbD4_Ak", + "outputId": "589da4ff-a81e-44dd-e1d3-4925a4af9a1c", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Accuracy of the model: 100.00%\n" + ] + } + ], + "source": [ + "eval_model(model, test_data_loader)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gYYsFGV94_Ak" + }, + "source": [ + "If we trained our model correctly, we should see a score close to 100% accuracy. However, this is only possible because of our simple task, and unfortunately, we usually don't get such high scores on test sets of more complex tasks." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ukfSq4qw4_Ak" + }, + "source": [ + "#### Visualizing classification boundaries\n", + "\n", + "To visualize what our model has learned, we can perform a prediction for every data point in a range of $[-0.5, 1.5]$, and visualize the predicted class as in the sample figure at the beginning of this section. This shows where the model has created decision boundaries, and which points would be classified as $0$, and which as $1$. We therefore get a background image out of blue (class 0) and orange (class 1). The spots where the model is uncertain we will see a blurry overlap. The specific code is less relevant compared to the output figure which should hopefully show us a clear separation of classes:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "5UXwA8tr4_Al", + "outputId": "98848b69-3a7d-4e9f-90aa-da59e290565e", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.7/dist-packages/torch/functional.py:568: UserWarning: torch.meshgrid: in an upcoming release, it will be required to pass the indexing argument. (Triggered internally at ../aten/src/ATen/native/TensorShape.cpp:2228.)\n", + " return _VF.meshgrid(tensors, **kwargs) # type: ignore[attr-defined]\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "@torch.no_grad() # Decorator, same effect as \"with torch.no_grad(): ...\" over the whole function.\n", + "def visualize_classification(model, data, label):\n", + " if isinstance(data, torch.Tensor):\n", + " data = data.cpu().numpy()\n", + " if isinstance(label, torch.Tensor):\n", + " label = label.cpu().numpy()\n", + " data_0 = data[label == 0]\n", + " data_1 = data[label == 1]\n", + "\n", + " fig = plt.figure(figsize=(4,4), dpi=500)\n", + " plt.scatter(data_0[:,0], data_0[:,1], edgecolor=\"#333\", label=\"Class 0\")\n", + " plt.scatter(data_1[:,0], data_1[:,1], edgecolor=\"#333\", label=\"Class 1\")\n", + " plt.title(\"Dataset samples\")\n", + " plt.ylabel(r\"$x_2$\")\n", + " plt.xlabel(r\"$x_1$\")\n", + " plt.legend()\n", + "\n", + " # Let's make use of a lot of operations we have learned above\n", + " model.to(device)\n", + " c0 = torch.Tensor(to_rgba(\"C0\")).to(device)\n", + " c1 = torch.Tensor(to_rgba(\"C1\")).to(device)\n", + " x1 = torch.arange(-0.5, 1.5, step=0.01, device=device)\n", + " x2 = torch.arange(-0.5, 1.5, step=0.01, device=device)\n", + " xx1, xx2 = torch.meshgrid(x1, x2) # Meshgrid function as in numpy\n", + " model_inputs = torch.stack([xx1, xx2], dim=-1)\n", + " preds = model(model_inputs)\n", + " preds = torch.sigmoid(preds)\n", + " output_image = (1 - preds) * c0[None,None] + preds * c1[None,None] # Specifying \"None\" in a dimension creates a new one\n", + " output_image = output_image.cpu().numpy() # Convert to numpy array. This only works for tensors on CPU, hence first push to CPU\n", + " plt.imshow(output_image, origin='lower', extent=(-0.5, 1.5, -0.5, 1.5))\n", + " plt.grid(False)\n", + " return fig\n", + "\n", + "_ = visualize_classification(model, dataset.data, dataset.label)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7Nut9X6H4_Al" + }, + "source": [ + "The decision boundaries might not look exactly as in the figure in the preamble of this section which can be caused by running it on CPU or a different GPU architecture. Nevertheless, the result on the accuracy metric should be the approximately the same." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "VAw6dPw34_Al" + }, + "source": [ + "## Additional features we didn't get to discuss yet\n", + "\n", + "Finally, you are all set to start with your own PyTorch project! In summary, we have looked at how we can build neural networks in PyTorch, and train and test them on data. However, there is still much more to PyTorch we haven't discussed yet. In the comming series of Jupyter notebooks, we will discover more and more functionalities of PyTorch, so that you also get familiar to PyTorch concepts beyond the basics. If you are already interested in learning more of PyTorch, we recommend the official [tutorial website](https://pytorch.org/tutorials/) that contains many tutorials on various topics. Especially logging with Tensorboard ([official tutorial here](https://pytorch.org/tutorials/intermediate/tensorboard_tutorial.html)) is a good practice that we will explore further from Tutorial 5 on in combination with PyTorch Lightning.\n", + "Nonetheless, let's check it shortly out how we could use TensorBoard in our small example." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "VHalnDEp4_Am" + }, + "source": [ + "### TensorBoard logging\n", + "\n", + "TensorBoard is a logging and visualization tool that is a popular choice for training deep learning models. Although initially published for TensorFlow, TensorBoard is also integrated in PyTorch allowing us to easily use it. First, let's import it below." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "r-lDoypZ4_Am" + }, + "outputs": [], + "source": [ + "# Import tensorboard logger from PyTorch\n", + "from torch.utils.tensorboard import SummaryWriter\n", + "\n", + "# Load tensorboard extension for Jupyter Notebook, only need to start TB in the notebook\n", + "%load_ext tensorboard" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "9fqMZ4W14_Am" + }, + "source": [ + "The last line is required if you want to run TensorBoard directly in the Jupyter Notebook. Otherwise, you can start TensorBoard from the terminal.\n", + "\n", + "PyTorch's TensorBoard API is simple to use. We start the logging process by creating a new object, `writer = SummaryWriter(...)`, where we specify the directory in which the logging file should be saved. With this object, we can log different aspects of our model by calling functions of the style `writer.add_...`. For example, we can visualize the computation graph with the function `writer.add_graph`, or add a scalar value like the loss with `writer.add_scalar`. Let's adapt our initial training function with adding a TensorBoard logger below." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "6U7B7fg54_Am" + }, + "outputs": [], + "source": [ + "def train_model_with_logger(model, optimizer, data_loader, loss_module, val_dataset, num_epochs=100, logging_dir='runs/our_experiment'):\n", + " # Create TensorBoard logger\n", + " writer = SummaryWriter(logging_dir)\n", + " model_plotted = False\n", + "\n", + " # Set model to train mode\n", + " model.train()\n", + "\n", + " # Training loop\n", + " for epoch in tqdm(range(num_epochs)):\n", + " epoch_loss = 0.0\n", + " for data_inputs, data_labels in data_loader:\n", + "\n", + " ## Step 1: Move input data to device (only strictly necessary if we use GPU)\n", + " data_inputs = data_inputs.to(device)\n", + " data_labels = data_labels.to(device)\n", + "\n", + " # For the very first batch, we visualize the computation graph in TensorBoard\n", + " if not model_plotted:\n", + " writer.add_graph(model, data_inputs)\n", + " model_plotted = True\n", + "\n", + " ## Step 2: Run the model on the input data\n", + " preds = model(data_inputs)\n", + " preds = preds.squeeze(dim=1) # Output is [Batch size, 1], but we want [Batch size]\n", + "\n", + " ## Step 3: Calculate the loss\n", + " loss = loss_module(preds, data_labels.float())\n", + "\n", + " ## Step 4: Perform backpropagation\n", + " # Before calculating the gradients, we need to ensure that they are all zero.\n", + " # The gradients would not be overwritten, but actually added to the existing ones.\n", + " optimizer.zero_grad()\n", + " # Perform backpropagation\n", + " loss.backward()\n", + "\n", + " ## Step 5: Update the parameters\n", + " optimizer.step()\n", + "\n", + " ## Step 6: Take the running average of the loss\n", + " epoch_loss += loss.item()\n", + "\n", + " # Add average loss to TensorBoard\n", + " epoch_loss /= len(data_loader)\n", + " writer.add_scalar('training_loss',\n", + " epoch_loss,\n", + " global_step = epoch + 1)\n", + "\n", + " # Visualize prediction and add figure to TensorBoard\n", + " # Since matplotlib figures can be slow in rendering, we only do it every 10th epoch\n", + " if (epoch + 1) % 10 == 0:\n", + " fig = visualize_classification(model, val_dataset.data, val_dataset.label)\n", + " writer.add_figure('predictions',\n", + " fig,\n", + " global_step = epoch + 1)\n", + "\n", + " writer.close()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "yyHvMYw_4_An" + }, + "source": [ + "Let's use this method to train a model as before, with a new model and optimizer." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "BIs7kUMW4_An", + "outputId": "daa9cdc9-2172-4b2e-db91-9c845c072eec", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 49, + "referenced_widgets": [ + "45fb190bbdba4521bd5cdcb33bd2f443", + "ee311357933f4fa9b6d06ec99e995543", + "23e4aa3da17c4162a6c56544fd58fac2", + "60db3a0d56b74bd095f401628a002248", + "c6b2d14531294383a355b1f2fd5215d0", + "812c66d181ed4041b327c6e4ccccc8fe", + "ba817b44ebf045a5b6d17a45058e5bc5", + "a34e75d232054a4da965965940424888", + "da308fa0dd284890a4184db770dc9c70", + "9754daa9bb7c4e6fb027135b2056085f", + "93f473640a7e499893e12d4719720549" + ] + } + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + " 0%| | 0/100 [00:00" + ], + "application/javascript": [ + "\n", + " (async () => {\n", + " const url = new URL(await google.colab.kernel.proxyPort(6006, {'cache': true}));\n", + " url.searchParams.set('tensorboardColab', 'true');\n", + " const iframe = document.createElement('iframe');\n", + " iframe.src = url;\n", + " iframe.setAttribute('width', '100%');\n", + " iframe.setAttribute('height', '800');\n", + " iframe.setAttribute('frameborder', 0);\n", + " document.body.appendChild(iframe);\n", + " })();\n", + " " + ] + }, + "metadata": {} + } + ], + "source": [ + "%tensorboard --logdir runs/our_experiment" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "w3IVZMZF4_Ao" + }, + "source": [ + "
    \n", + "\n", + "TensorBoard visualizations can help to identify possible issues with your model, and identify situations such as overfitting. You can also track the training progress while a model is training, since the logger automatically writes everything added to it to the logging file. Feel free to explore the TensorBoard functionalities, and we will make use of TensorBoards a couple of times from Tutorial 5 on." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.6" + }, + "colab": { + "provenance": [] + }, + "accelerator": "GPU", + "widgets": { + "application/vnd.jupyter.widget-state+json": { + "8f77981965c240ef808b7cdd8d352cce": { + "model_module": "@jupyter-widgets/controls", + "model_name": "HBoxModel", + "model_module_version": "1.5.0", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HBoxModel", + "_view_count": null, + "_view_module": 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+ } + } + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} \ No newline at end of file diff --git "a/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_17_Introduction_To_Tensorflow.ipynb" "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_17_Introduction_To_Tensorflow.ipynb" new file mode 100644 index 0000000..e208bfb --- /dev/null +++ "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_17_Introduction_To_Tensorflow.ipynb" @@ -0,0 +1,449 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "source": [ + "#Introduction to TensorFlow" + ], + "metadata": { + "id": "Qpme0Tri0S4v" + } + }, + { + "cell_type": "code", + "source": [ + "# !pip install --upgrade tensorflow" + ], + "metadata": { + "id": "59GGABpl0aox" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# %tensorflow_version 1.x\n", + "# !pip install numpy==1.19.5" + ], + "metadata": { + "id": "SntVcgFFEvaW" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "import tensorflow as tf" + ], + "metadata": { + "id": "W9Brw_8l0fSO" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "tf.__version__" + ], + "metadata": { + "id": "dovvBhFhEjgl" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "mnist = tf.keras.datasets.mnist" + ], + "metadata": { + "id": "4F0V7IuD1VZX" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "(x_train, y_train),(x_test, y_test) = mnist.load_data()\n", + "x_train, x_test = x_train / 255.0, x_test / 255.0\n", + "x_train.shape" + ], + "metadata": { + "id": "BCpcDY8O1T7p" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "import matplotlib.pyplot as plt\n", + "# %matplotlib inline #in case of jupyter notbook\n", + "m = 25\n", + "plt.figure()\n", + "plt.imshow(x_train[m])\n", + "print('label = ', y_train[m])\n", + "plt.colorbar()\n", + "plt.grid(False)\n", + "plt.show()" + ], + "metadata": { + "id": "fR88X1X91j0N" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "model = tf.keras.models.Sequential([\n", + " tf.keras.layers.Flatten(input_shape=(28, 28)),\n", + " tf.keras.layers.Dense(512, activation=tf.nn.relu),\n", + " tf.keras.layers.Dropout(0.2),\n", + " tf.keras.layers.Dense(10, activation=tf.nn.softmax)\n", + "])" + ], + "metadata": { + "id": "Qt33z5rF1YVh" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "model.compile(optimizer='adam',\n", + " loss='sparse_categorical_crossentropy',\n", + " metrics=['accuracy'])" + ], + "metadata": { + "id": "iMuBRLk61abT" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "model.fit(x_train, y_train, epochs=5)" + ], + "metadata": { + "id": "XCIp6Ckt1cOn" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "model.evaluate(x_test, y_test)" + ], + "metadata": { + "id": "k1Yi_tFH1eVZ" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "##Creating Tensors\n", + "### Constant Tensors\n", + "\n", + "| Name | Description |\n", + "|--- |:---|\n", + "| [tf.zeros](https://www.tensorflow.org/api_docs/python/tf/zeros) | Creates a constant tensor of zeros of a given shape and type. |\n", + "| [tf.zeros\\_like](https://www.tensorflow.org/api_docs/python/tf/zeros_like) | Creates a constant tensor of zeros of the same shape as the input tensor. |\n", + "| [tf.ones](https://www.tensorflow.org/api_docs/python/tf/ones) | Creates a constant tensor of ones of a given shape and type. |\n", + "| [tf.ones\\_like](https://www.tensorflow.org/api_docs/python/tf/ones_like) | Creates a constant tensor of ones of the same shape as the input tensor. |\n", + "| [tf.linspace](https://www.tensorflow.org/api_docs/python/tf/linspace) | Creates an evenly spaced tensor of values between supplied end points. |\n", + "\n", + "The following example demonstrates some of these ops." + ], + "metadata": { + "id": "zD6yo_zo5J_T" + } + }, + { + "cell_type": "code", + "source": [ + "# Create a bunch of zeros of a specific shape and type.\n", + "x = tf.zeros([2, 2], dtype=tf.float64)\n", + "print(\"tf.zeros example: %s\" % x)\n", + "\n", + "# tf.zeros_like is pretty useful. It creates a zero tensors which is\n", + "# shaped like some other tensor you supply.\n", + "x = tf.constant([[[1], [2]]])\n", + "zeros_like_x = tf.zeros_like(x, dtype=tf.float32)\n", + "\n", + "print(\"Shape(x) = %s \\nShape(zeros_like_x) = %s\" %\n", + " (x.shape, zeros_like_x.shape))" + ], + "metadata": { + "id": "6xRJXTZP5Wu4" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "###Random Tensors\n", + "\n", + " | Name | Description |\n", + " |--- |:---|\n", + " | [tf.random.normal](https://www.tensorflow.org/api_docs/python/tf/random/normal) | Generates a constant tensor with independent normal entries. |\n", + " | [tf.random.uniform](https://www.tensorflow.org/api_docs/python/tf/random/uniform) | Generates a constant tensor with uniformly distributed elements. |\n", + " | [tf.random.gamma](https://www.tensorflow.org/api_docs/python/tf/random/gamma) | Generates a constant tensor with gamma distributed elements. |\n", + " | [tf.random.shuffle](https://www.tensorflow.org/api_docs/python/tf/random/shuffle) | Takes an input tensor and randomly permutes the entries along the first dimension. |" + ], + "metadata": { + "id": "_82De6bo50_f" + } + }, + { + "cell_type": "code", + "source": [ + "# Create a matrix with normally distributed entries.\n", + "x = tf.random.normal([1, 3], mean=1.0, stddev=4.0, dtype=tf.float64)\n", + "print(\"A random normal tensor: %s\" % x)\n", + "\n", + "# Randomly shuffle the first dimension of a tensor.\n", + "r = tf.random.shuffle([1, 2, 3, 4])\n", + "print(\"Random shuffle of [1,2,3,4]: %s\" % r)" + ], + "metadata": { + "id": "DX_3Sz4q6JTe" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## Maths Ops\n", + "\n", + "- There is a whole suite of commonly needed math ops built in.\n", + "- The inline form of the op allows you to e.g. write x + y instead of tf.add(x, y).\n", + "\n", + "| Name | Description | Inline form |\n", + "| --- | --- | --- |\n", + "| [tf.math.add](https://www.tensorflow.org/api_docs/python/tf/math/add) | Adds two tensors element wise | + |\n", + "| [tf.math.subtract](https://www.tensorflow.org/api_docs/python/tf/math/subtract) | Subtracts two tensors element wise | - |\n", + "| [tf.math.multiply](https://www.tensorflow.org/api_docs/python/tf/math/multiply) | Multiplies two tensors element wise | * |\n", + "| [tf.math.divide](https://www.tensorflow.org/api_docs/python/tf/math/divide) | Divides two tensors element wise | / |\n", + "| [tf.math.mod](https://www.tensorflow.org/api_docs/python/tf/math/floormod) | Computes the remainder of division element wise | % |\n", + "\n", + "\n", + "- Note that the behaviour of \"/\" and \"//\" varies depending on python version and presence of `from __future__ import division`, to match how division behaves with ordinary python scalars.\n", + "- The following table lists some more commonly needed functions:\n", + "\n", + "| Name | Description |\n", + "| --- | --- |\n", + "| [tf.math.exp](https://www.tensorflow.org/api_docs/python/tf/math/exp) | The exponential of the argument element wise. |\n", + "| [tf.math.log](https://www.tensorflow.org/api_docs/python/tf/math/log) | The natural log element wise |\n", + "| [tf.math.sqrt](https://www.tensorflow.org/api_docs/python/tf/math/sqrt) | Square root element wise |\n", + "| [tf.math.round](https://www.tensorflow.org/api_docs/python/tf/math/round) | Rounds to the nearest integer element wise |\n", + "| [tf.math.maximum](https://www.tensorflow.org/api_docs/python/tf/math/maximum) | Maximum of two tensors element wise. |" + ], + "metadata": { + "id": "OVx9Kv8_6iru" + } + }, + { + "cell_type": "markdown", + "source": [ + "## Matrix Ops\n", + "* Matrices are rank 2 tensors. There is a suite of ops for doing matrix manipulations.\n", + "\n", + "| Name | Description |\n", + "| --- | --- |\n", + "| [tf.linalg.matrix_diag](https://www.tensorflow.org/api_docs/python/tf/linalg/diag) | Creates a tensor from its diagonal |\n", + "| [tf.linalg.trace](https://www.tensorflow.org/api_docs/python/tf/linalg/trace) | Computes the sum of the diagonal elements of a matrix. |\n", + "| [tf.linalg.matrix\\_determinant](https://www.tensorflow.org/api_docs/python/tf/linalg/det) | Computes the determinant of a matrix (square only) |\n", + "| [tf.linalg.matmul](https://www.tensorflow.org/api_docs/python/tf/linalg/matmul) | Multiplies two matrices |\n", + "| [tf.linalg.matrix\\_inverse](https://www.tensorflow.org/api_docs/python/tf/linalg/inv) | Computes the inverse of the matrix (square only) |" + ], + "metadata": { + "id": "VYAwLcqf74JJ" + } + }, + { + "cell_type": "code", + "source": [ + "x = tf.random.normal([3, 3], mean=1.0, stddev=4.0, dtype=tf.float64)\n", + "y = tf.random.normal([3, 3], mean=1.0, stddev=4.0, dtype=tf.float64)\n", + "print(\"x:\", x , \"y:\", y)\n" + ], + "metadata": { + "id": "90HSR9CBPOQM" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## Logical And Comparison Ops\n", + "\n", + "- Tensorflow has the full complement of logical operators you would expect.\n", + "- These are also overloaded so you can use their inline version.\n", + "- The ops most frequently used are as follows:\n", + "\n", + "| Name | Description | Inline form |\n", + "| --- | --- | --- |\n", + "| [tf.equal](https://www.tensorflow.org/api_docs/python/tf/math/equal) | Element wise equality | **None** |\n", + "| [tf.less](https://www.tensorflow.org/api_docs/python/tf/math/less) | Element wise less than | < |\n", + "| [tf.less\\_equal](https://www.tensorflow.org/api_docs/python/tf/math/less_equal) | Element wise less than or equal to | <= |\n", + "| [tf.greater](https://www.tensorflow.org/api_docs/python/tf/math/greater) | Element wise greater than | > |\n", + "| [tf.greater\\_equal](https://www.tensorflow.org/api_docs/python/tf/math/greater_equal) | Element wise greater than or equal to | >= |\n", + "| [tf.logical\\_and](https://www.tensorflow.org/api_docs/python/tf/math/logical_and) | Element wise And | & |\n", + "| [tf.logical\\_or](https://www.tensorflow.org/api_docs/python/tf/math/logical_or) | Element wise Or | | |\n", + "\n", + "- Note that tf.equal doesn't have an inline form. Comparing two tensors with == will use the default python comparison. It will **not** call tf.equal.\n", + "\n", + "\n" + ], + "metadata": { + "id": "crM_pK2p70JX" + } + }, + { + "cell_type": "markdown", + "source": [ + "## Aggregations and Scans\n", + "\n", + "Most of the ops we have seen so far, act on the input tensors in an element wise manner. Another important set of operators allow you to do aggregations on a whole tensor as well as scan the tensor.\n", + "\n", + "- Aggregations (or reductions) act on a tensor and produce a reduced dimension tensor. The main ops here are\n", + "\n", + "| Name | Description |\n", + "| --- | --- |\n", + "| [tf.reduce\\_sum](https://www.tensorflow.org/api_docs/python/tf/math/reduce_sum) | Sum of elements along all or some dimensions. |\n", + "| [tf.reduce\\_mean](https://www.tensorflow.org/api_docs/python/tf/math/reduce_mean) | Average of elements along all or some dimensions. |\n", + "| [tf.reduce\\_min](https://www.tensorflow.org/api_docs/python/tf/math/reduce_min) | Minimum of elements along all or some dimensions. |\n", + "| [tf.reduce\\_max](https://www.tensorflow.org/api_docs/python/tf/math/reduce_max) | Maximum of elements along all or some dimensions. |\n", + "\n", + "- and for boolean tensors only\n", + "\n", + "| Name | Description |\n", + "| --- | --- |\n", + "| [tf.reduce\\_any](https://www.tensorflow.org/api_docs/python/tf/math/reduce_any) | Result of logical OR along all or some dimensions. |\n", + "| [tf.reduce\\_all](https://www.tensorflow.org/api_docs/python/tf/math/reduce_all) | Result of logical AND along all or some dimensions. |\n", + "\n", + "\n", + "- Scan act on a tensor and produce a tensor of the same dimension.\n", + "\n", + "| Name | Description |\n", + "| --- | --- |\n", + "| [tf.cumsum](https://www.tensorflow.org/api_docs/python/tf/math/cumsum) | Cumulative sum of elements along an axis. |\n", + "| [tf.cumprod](https://www.tensorflow.org/api_docs/python/tf/math/cumprod) | Cumulative product of elements along an axis. |\n" + ], + "metadata": { + "id": "CBUBTjYF8DIb" + } + }, + { + "cell_type": "markdown", + "source": [ + "## Quiz: Normal Density\n", + "\n", + "\n", + "- In the following mini-codelab, you are asked to compute the normal density using the ops you have seen so far.\n", + "- You first generate a sample of points at which you will evaluate the density.\n", + "- The points are generated using a normal distribution (need not be the same one whose density you are evaluating).\n", + "- This is done by the function **generate\\_normal\\_draws** below.\n", + "- The function **normal\\_density\\_at** computes the density at any given set of points.\n", + "- You have to complete the code of these two functions so they work as expected.\n", + "- Execute the code and check that the test passes.\n", + "\n", + "### Hints\n", + "- Recall that the normal density is given by \n", + " $f(x) = \\frac{1}{\\sqrt{2\\pi\\sigma^2}} e^{-\\frac{(x-\\mu)^2}{2\\sigma^2}}$\n", + "- Here $\\mu$ is the mean of the distribution and $\\sigma > 0$ is the standard deviation.\n", + "- Pay attention to the data types mentioned in the function documentations. You should ensure that your implementations respect the data types stated." + ], + "metadata": { + "id": "VCKnkKYA9shj" + } + }, + { + "cell_type": "code", + "source": [ + "#@title Mini-codelab: Compute the normal density.\n", + "\n", + "import numpy as np\n", + "import numpy.testing as npt\n", + "from scipy import stats\n", + "\n", + "def generate_normal_draws(shape, mean=0.0, stddev=1.0):\n", + " \"\"\"Generates a tensor drawn from a 1D normal distribution.\n", + "\n", + " Creates a constant tensor of the supplied shape whose elements are drawn\n", + " independently from a normal distribution with the supplied parameters.\n", + "\n", + " Args:\n", + " shape: An int32 tensor. Specifies the shape of the return value.\n", + " mean: A float32 value. The mean of the normal distribution.\n", + " stddev: A positive float32 value. The standard deviation of the\n", + " distribution.\n", + "\n", + " Returns:\n", + " A constant float32 tensor whose elements are normally distributed.\n", + " \"\"\"\n", + "\n", + " # to-do: Complete this function.\n", + " pass\n", + "\n", + "def normal_density_at(x, mean=0.0, stddev=1.0):\n", + " \"\"\"Computes the normal density at the supplied points.\n", + "\n", + " Args:\n", + " x: A float32 tensor at which the density is to be computed.\n", + " mean: A float32. The mean of the distribution.\n", + " stddev: A positive float32. The standard deviation of the distribution.\n", + "\n", + " Returns:\n", + " A float32 tensor of the normal density evaluated at the supplied points.\n", + " \"\"\"\n", + "\n", + " # to-do: Complete this function. As a reminder, the normal density is\n", + " # f(x) = exp(-(x-mu)^2/(2*stddev^2)) / sqrt(2 pi stddev^2).\n", + " # The value of pi can be accessed as np.pi.\n", + " pass\n", + "\n", + "def test():\n", + " mu, sd = 1.1, 2.1\n", + " x = generate_normal_draws([2, 3, 5], mean=mu, stddev=sd)\n", + " pdf = normal_density_at(x)\n", + " npt.assert_array_equal(x.shape, [2,3,5], 'Shape is incorrect')\n", + " norm = stats.norm()\n", + " npt.assert_allclose(pdf, norm.pdf(x), atol=1e-6)\n", + " print (\"All good!\")\n", + "\n", + "test()" + ], + "metadata": { + "id": "tM4YAi-R9r9D" + }, + "execution_count": null, + "outputs": [] + } + ], + "metadata": { + "colab": { + "private_outputs": true, + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} \ No newline at end of file diff --git "a/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_18_OOP.ipynb" "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_18_OOP.ipynb" new file mode 100644 index 0000000..35feb33 --- /dev/null +++ "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_18_OOP.ipynb" @@ -0,0 +1,183 @@ +{ + "cells": [ + { + "cell_type": "code", + "source": [ + "class Imath:\n", + " def __init__(self, v:int=1, c:int=2):\n", + " self.val = v\n", + " self.coef = c\n", + " def mul(self):\n", + " self.val *= self.coef\n", + "\n", + " def __repr__(self):\n", + " return str(self.val)" + ], + "metadata": { + "id": "gkscoZ8Y60i4" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "a = Imath(v=10, c=3)" + ], + "metadata": { + "id": "rtiKyn0q_2ml" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "a.mul()" + ], + "metadata": { + "id": "K_vau4sj_8Jc" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "a.val" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Lw0a3DTBDwHH", + "outputId": "b8b9b38a-e4bf-4170-feb9-1a720de89525" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "30" + ] + }, + "metadata": {}, + "execution_count": 84 + } + ] + }, + { + "cell_type": "code", + "source": [ + "type(a)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "PvePcxjVAC_m", + "outputId": "68ff6d51-3767-4574-ac41-2d3baa2971b7" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "__main__.Imath" + ] + }, + "metadata": {}, + "execution_count": 85 + } + ] + }, + { + "cell_type": "code", + "source": [ + "id(a)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "r7J86N7vAFcJ", + "outputId": "02b86cc1-8a9c-43b5-abb3-13302ba9bc30" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "139969502435472" + ] + }, + "metadata": {}, + "execution_count": 86 + } + ] + }, + { + "cell_type": "code", + "source": [ + "a" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "F9kzfJTFFP5h", + "outputId": "7e6b2cd0-8554-4f99-a542-d6c194eda2c6" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "30" + ] + }, + "metadata": {}, + "execution_count": 87 + } + ] + }, + { + "cell_type": "code", + "source": [ + "print(__name__)" + ], + "metadata": { + "id": "Lfed_5UwIFGb", + "outputId": "0569188c-4033-444f-b2df-58424538d176", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "__main__\n" + ] + } + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} \ No newline at end of file diff --git "a/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_19_Eigen_Values_Vectors,_SVD.ipynb" "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_19_Eigen_Values_Vectors,_SVD.ipynb" new file mode 100644 index 0000000..9887e2c --- /dev/null +++ "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_19_Eigen_Values_Vectors,_SVD.ipynb" @@ -0,0 +1,274 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "source": [ + "https://web.mit.edu/be.400/www/SVD/Singular_Value_Decomposition.htm" + ], + "metadata": { + "id": "7QKkw4JhXOro" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "lIYdn1woOS1n" + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "from scipy import linalg\n" + ] + }, + { + "cell_type": "code", + "source": [ + "A = np.array([[2, 1],\n", + " [0, 3]])" + ], + "metadata": { + "id": "zLrb1ebBTcwF" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "print(A)" + ], + "metadata": { + "id": "h8ymPxq_TjpJ", + "outputId": "9df9a724-c5fa-45ba-e0c3-6665f04e10b5", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[[2 1]\n", + " [0 3]]\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "L, X = np.linalg.eig(A)" + ], + "metadata": { + "id": "jrumppldTmzY" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "print('eigenvalues: L=', L)\n", + "print('eigenvectors: X=', X)" + ], + "metadata": { + "id": "puMd2OjzT2pX", + "outputId": "f6f8b91b-0e9c-4f83-b1d9-aa05aef71739", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "eigenvalues: L= [2. 3.]\n", + "eigenvectors: X= [[1. 0.70710678]\n", + " [0. 0.70710678]]\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "B = np.array([[2, 4],\n", + " [1, 3],\n", + " [0, 0],\n", + " [0, 0]])" + ], + "metadata": { + "id": "AAGEB9E0U1MC" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "BT = B.transpose()" + ], + "metadata": { + "id": "dWlpdMNdVtGG" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "B@BT" + ], + "metadata": { + "id": "jbyBX-LoV2D8", + "outputId": "fc509ea1-3cc0-4d66-a92d-aeb3153c15a1", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([[20, 14, 0, 0],\n", + " [14, 10, 0, 0],\n", + " [ 0, 0, 0, 0],\n", + " [ 0, 0, 0, 0]])" + ] + }, + "metadata": {}, + "execution_count": 20 + } + ] + }, + { + "cell_type": "code", + "source": [ + "L, X = np.linalg.eig(B@BT)" + ], + "metadata": { + "id": "QjdzcCY8ecDt" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "X" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "9kF71ySOegc4", + "outputId": "67ddb325-5637-42f0-a6d0-8cc9b547d33d" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([[ 0.81741556, -0.57604844, 0. , 0. ],\n", + " [ 0.57604844, 0.81741556, 0. , 0. ],\n", + " [ 0. , 0. , 1. , 0. ],\n", + " [ 0. , 0. , 0. , 1. ]])" + ] + }, + "metadata": {}, + "execution_count": 22 + } + ] + }, + { + "cell_type": "code", + "source": [ + "U, S, VT = linalg.svd(B)" + ], + "metadata": { + "id": "G05YP3iyT60l" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "U" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "qHJrupRSehSk", + "outputId": "b8feb6e0-ad56-4157-c80f-a81ed85e2d19" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([[-0.81741556, -0.57604844, 0. , 0. ],\n", + " [-0.57604844, 0.81741556, 0. , 0. ],\n", + " [ 0. , 0. , 1. , 0. ],\n", + " [ 0. , 0. , 0. , 1. ]])" + ] + }, + "metadata": {}, + "execution_count": 24 + } + ] + }, + { + "cell_type": "code", + "source": [ + "print('U: ', U)\n", + "print('S: ', S)\n", + "print('VT: ', VT)" + ], + "metadata": { + "id": "4h8n_5VqVCZX", + "outputId": "1d02ac27-f051-4d40-a497-96a22fa80660", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "U: [[-0.81741556 -0.57604844 0. 0. ]\n", + " [-0.57604844 0.81741556 0. 0. ]\n", + " [ 0. 0. 1. 0. ]\n", + " [ 0. 0. 0. 1. ]]\n", + "S: [5.4649857 0.36596619]\n", + "VT: [[-0.40455358 -0.9145143 ]\n", + " [-0.9145143 0.40455358]]\n" + ] + } + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} \ No newline at end of file diff --git "a/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_1_Python_Introduction.ipynb" "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_1_Python_Introduction.ipynb" new file mode 100644 index 0000000..6d3622e --- /dev/null +++ "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_1_Python_Introduction.ipynb" @@ -0,0 +1,1103 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.0" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "Yf5WDw7O5eDs" + }, + "source": [ + "#DS-Landers (Data Science and AI for All)\n", + "\n", + "By Reza Shokrzad" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Zw7dm_p72W__" + }, + "source": [ + "#Python Tutorial\n", + "\n", + "##Python\n", + "\n", + "Python is a high-level, dynamically typed multiparadigm programming language. Python code is often said to be almost like pseudocode, since it allows you to express very powerful ideas in very few lines of code while being very readable. As an example, here is an implementation of the classic quicksort algorithm in Python:\n", + "\n", + "**Shift+Enter -> to run**\n", + "\n", + "**Ctrl+Shift+Enter -> to run a single line**\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "kdmA_aQR52Xf" + }, + "source": [ + "##Python versions\n", + "\n", + "There are currently two different supported versions of Python, 2.7 and 3.13. Somewhat confusingly, Python 3.0 introduced many backwards-incompatible changes to the language, so code written for 2.7 may not work under 3.13 and vice versa. For this laboratory all code will use Python 3.13.\n", + "\n", + "You can check your Python version at the command line by running `python --version`.\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 1. Basic data types\n", + "\n", + "Like most languages, Python has a number of basic types including integers, floats, booleans, and strings. These data types behave in ways that are familiar from other programming languages.\n", + "\n", + "###Numbers\n", + "\n", + "Integers and floats work as you would expect from other languages:" + ], + "metadata": { + "id": "T0ZR9nmyT0YH" + } + }, + { + "cell_type": "code", + "source": [ + "!python --version" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "ayejYnDjQ3b5", + "outputId": "fb673c10-20d7-48cb-e0a3-b0b5d7a5ab06" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Python 3.11.12\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "NwiAvjv06UK4", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "b530076e-54b1-44c3-dea7-e875985ef8fc" + }, + "source": [ + "# code snippet\n", + "x = 3\n", + "print(type(x)) # Prints \"\"\n", + "print(x) # Prints \"3\"\n", + "print(x + 1) # Addition; prints \"4\"\n", + "print(x - 1) # Subtraction; prints \"2\"\n", + "print(x * 2) # Multiplication; prints \"6\"\n", + "print(x ** 3) # Exponentiation; prints \"27\"\n", + "x += 1\n", + "print(x) # Prints \"4\"\n", + "x *= 2 # x = x * 2\n", + "print(x) # Prints \"8\"\n", + "y = 2.5\n", + "print(type(y)) # Prints \"\"\n", + "print(y, y + 1, y * 2, y ** 2) # Prints \"2.5 3.5 5.0 6.25\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "3\n", + "4\n", + "2\n", + "6\n", + "27\n", + "4\n", + "8\n", + "\n", + "2.5 3.5 5.0 6.25\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "XePU1zvG6iW0" + }, + "source": [ + "Note: that unlike many languages, Python does not have unary increment (`x++`) or decrement (`x--`) operators.\n", + "\n", + "Python also has built-in types for complex numbers; you can find all of the details [in the documentation](https://docs.python.org/3.7/library/stdtypes.html#numeric-types-int-float-complex).\n", + "\n", + "###Booleans\n", + "\n", + "Python implements all of the usual operators for Boolean logic, but uses English words rather than symbols (`&&`, `||`, etc.):\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "uCplgjE36yBl", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "71288c7a-4509-45af-80da-b1af9b41c20f" + }, + "source": [ + "t = True\n", + "f = False\n", + "print(type(t)) # Prints \"\"\n", + "print(t and f) # Logical AND; prints \"False\"\n", + "print(t or f) # Logical OR; prints \"True\"\n", + "print(not t) # Logical NOT; prints \"False\"\n", + "print(t != f) # Logical XOR; prints \"True\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "False\n", + "True\n", + "False\n", + "True\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "dGay5XyP67l_" + }, + "source": [ + "###Strings\n", + "\n", + "Python has great support for strings:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "LhLrXu6U7BAg", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "28089cd4-2cf6-4343-e2af-c2900e079fc4" + }, + "source": [ + "h = 'hello' # String literals can use single quotes\n", + "w = \"world\" # or double quotes; it does not matter.\n", + "print(h) # Prints \"hello\"\n", + "print(len(h)) # String length; prints \"5\"\n", + "hw = h + ' ' + w # String concatenation\n", + "print(hw) # prints \"hello world\"\n", + "hw12 = '%s %s %d' % (h, w, 5) # sprintf style string formatting\n", + "print(hw12) # prints \"hello world 12\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "hello\n", + "5\n", + "hello world\n", + "hello world 5\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "-8XeIBsB7G8o" + }, + "source": [ + "String objects have a bunch of useful methods; for example:\n", + "\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "SkB_bFXk7SNW", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "79d3df2e-df8a-4154-8a05-e37c794adf0b" + }, + "source": [ + "s = \"hello\"\n", + "print(s.capitalize()) # Capitalize a string; prints \"Hello\"\n", + "print(s.upper()) # Convert a string to uppercase; prints \"HELLO\" / lower()\n", + "print(s.rjust(7)) # Right-justify a string, padding with spaces; prints \" hello\"\n", + "print(s.center(7)) # Center a string, padding with spaces; prints \" hello \"\n", + "print(s.replace('l', 'oo')) # Replace all instances of one substring with another;\n", + " # prints \"he(ell)(ell)o\"\n", + "print(' world '.strip()) # Strip leading and trailing whitespace; prints \"world\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "world\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "2Rr-s0dw7alf" + }, + "source": [ + "You can find a list of all string methods [in the documentation](https://docs.python.org/3.7/library/stdtypes.html#string-methods).\n", + "\n", + "## 2. Containers\n", + "\n", + "Python includes several built-in container types: lists, dictionaries, sets, and tuples.\n", + "\n", + "### 2.1. Lists\n", + "\n", + "A list is the Python equivalent of an array, but is resizeable and can contain elements of different types:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "6FKyFx6X7wuQ", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "aa1b8a40-edf8-450d-890d-aaf1ccfdce00" + }, + "source": [ + "xs = [3, 1, 5] # Create a list\n", + "print(xs, xs[2]) # Prints \"[3, 1, 2] 2\"\n", + "print(xs[-1]) # Negative indices count from the end of the list; prints \"2\"\n", + "xs[2] = 'foo' # Lists can contain elements of different types\n", + "print(xs) # Prints \"[3, 1, 'foo']\"\n", + "xs.append('bar') # Add a new element to the end of the list\n", + "print(xs) # Prints \"[3, 1, 'foo', 'bar']\"\n", + "x = xs.pop() # Remove and return the last element of the list\n", + "print(x, xs) # Prints \"bar [3, 1, 'foo']\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "bar [3, 1, 'foo']\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "LfkiNtNw76_v" + }, + "source": [ + "As usual, you can find all the details about lists [in the documentation](https://docs.python.org/3.7/tutorial/datastructures.html#more-on-lists).\n", + "\n", + "#### Slicing\n", + "\n", + "In addition to accessing list elements one at a time, Python provides concise syntax to access sublists; this is known as *slicing*:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "TvGnycL78mVD", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "7a0640b3-abce-4238-d531-2c5fae96422b" + }, + "source": [ + "nums = list(range(5)) # range is a built-in function that creates a list of integers\n", + "print(nums) # Prints \"[0, 1, 2, 3, 4]\"\n", + "print(nums[2:4]) # Get a slice from index 2 to 4 (exclusive); prints \"[2, 3]\"\n", + "print(nums[2:]) # Get a slice from index 2 to the end; prints \"[2, 3, 4]\"\n", + "print(nums[:2]) # Get a slice from the start to index 2 (exclusive); prints \"[0, 1]\"\n", + "print(nums[:]) # Get a slice of the whole list; prints \"[0, 1, 2, 3, 4]\"\n", + "print(nums[:-1]) # Slice indices can be negative; prints \"[0, 1, 2, 3]\"\n", + "nums[2:4] = [8, 9] # Assign a new sublist to a slice\n", + "print(nums) # Prints \"[0, 1, 8, 9, 4]\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[0, 1, 8, 9, 4]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "P0iivb_Y8rnp" + }, + "source": [ + "We will see slicing again in the context of numpy arrays.\n", + "\n", + "#### Loops\n", + "\n", + "You can loop over the elements of a list like this:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "yPUSlyu58y-6", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "a2b1f530-5cea-4bb7-d988-b3c809f0380d" + }, + "source": [ + "animals = ['cat', 'dog', 'monkey']\n", + "for a in animals:\n", + " print(a)\n", + " print(a + \"s\")\n", + "\n", + "print(a)\n", + "# Prints \"cat\", \"dog\", \"monkey\", each on its own line." + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "cat\n", + "cats\n", + "dog\n", + "dogs\n", + "monkey\n", + "monkeys\n", + "monkey\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "TO6inPLA81UM" + }, + "source": [ + "If you want access to the index of each element within the body of a loop, use the built-in `enumerate` function:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Kvc_a47j89ds", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "a99f21df-014d-40a8-e180-a716efe453b7" + }, + "source": [ + "animals = ['cat', 'dog', 'monkey']\n", + "for idx, animal in enumerate(animals):\n", + " print('#%d: %s' % (idx + 1, animal))\n", + "# Prints \"#1: cat\", \"#2: dog\", \"#3: monkey\", each on its own line" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "#1: cat\n", + "#2: dog\n", + "#3: monkey\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NyfaDHBW9BtB" + }, + "source": [ + "####List comprehensions\n", + "\n", + "When programming, frequently we want to transform one type of data into another. As a simple example, consider the following code that computes square numbers:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "xkonhGPU9IE7", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "33d2c6ac-0a5e-4db7-8118-357c0a87e4ff" + }, + "source": [ + "nums = [0, 1, 2, 3, 4]\n", + "squares = []\n", + "for x in nums:\n", + " squares.append(x ** 2)\n", + "print(squares) # Prints [0, 1, 4, 9, 16]" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[0, 1, 4, 9, 16]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "q0tcKCh79QNr" + }, + "source": [ + "You can make this code simpler using a **list comprehension**:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "2pisAL3E9XcG", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "2b8bdecf-4a32-410e-f247-a4516d80e524" + }, + "source": [ + "nums = [0, 1, 2, 3, 4]\n", + "squares = [x ** 2 for x in nums]\n", + "print(squares) # Prints [0, 1, 4, 9, 16]\n", + "nums[0] = 2" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[2, 1, 2, 3, 4]" + ] + }, + "metadata": {}, + "execution_count": 130 + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "iyQWXYMn9ZPE" + }, + "source": [ + "List comprehensions can also contain conditions:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "bflK2hns9bYI", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "17479b31-fb0e-4785-d554-74d0efa925f2" + }, + "source": [ + "nums = [0, 1, 2, 3, 4]\n", + "even_squares = [x ** 2 for x in nums if x % 2 == 0]\n", + "print(even_squares) # Prints \"[0, 4, 16]\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[0, 4, 16]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "2MyAS4vo9epl" + }, + "source": [ + "### 2.2. Dictionaries\n", + "\n", + "A dictionary stores (key, value) pairs, similar to a `Map` in Java or an object in Javascript. You can use it like this:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "uNV3up_M9ukq", + "scrolled": true, + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "bc3059bd-49ca-4f0d-de5a-6b89d87e1746" + }, + "source": [ + "d = {'cat': 'cute', 'dog': 'furry'} # Create a new dictionary with some data\n", + "print(d['cat']) # Get an entry from a dictionary; prints \"cute\"\n", + "print('cat' in d) # Check if a dictionary has a given key; prints \"True\"\n", + "d['fish'] = 'wet' # Set an entry in a dictionary\n", + "print(d['fish']) # Prints \"wet\"\n", + "# print(d['monkey']) # KeyError: 'monkey' not a key of d\n", + "print(d.get('monkey', 'N/A')) # Get an element with a default; prints \"N/A\"\n", + "print(d.get('fish', 'N/A')) # Get an element with a default; prints \"wet\"\n", + "del d['fish'] # Remove an element from a dictionary\n", + "print(d.get('fish', 'N/A')) # \"fish\" is no longer a key; prints \"N/A\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "cute\n", + "True\n", + "wet\n", + "N/A\n", + "wet\n", + "N/A\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "lNMGvYcZ9x_T" + }, + "source": [ + "You can find all you need to know about dictionaries [in the documentation](https://docs.python.org/3.7/library/stdtypes.html#dict).\n", + "\n", + "####Loops\n", + "\n", + "It is easy to iterate over the keys in a dictionary:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "oow_R2x3-F36", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "5afc79a7-421a-45a2-b19c-abdf2dc34018" + }, + "source": [ + "d = {'person': 2, 'cat': 4, 'spider': 8}\n", + "for animal in d:\n", + " legs = d[animal]\n", + " print('A %s has %d legs' % (animal, legs))\n", + "# Prints \"A person has 2 legs\", \"A cat has 4 legs\", \"A spider has 8 legs\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "A person has 2 legs\n", + "A cat has 4 legs\n", + "A spider has 8 legs\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "d.keys()\n", + "d.values()\n", + "d.items()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "b4D8hR79Zsvy", + "outputId": "d395375f-f975-4657-84ab-f4db9f24df76" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "dict_items([('person', 2), ('cat', 4), ('spider', 8)])" + ] + }, + "metadata": {}, + "execution_count": 98 + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "HrhqedOf-JOB" + }, + "source": [ + "If you want access to keys and their corresponding values, use the `items` method:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "XIlLwZVg-PSF", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "9258446f-e01a-4f77-b24b-4ed395d9fc70" + }, + "source": [ + "d = {'person': 2, 'cat': 4, 'spider': 8}\n", + "for animal, legs in d.items():\n", + " print('A %s has %d legs' % (animal, legs))\n", + "# Prints \"A person has 2 legs\", \"A cat has 4 legs\", \"A spider has 8 legs\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "A person has 2 legs\n", + "A cat has 4 legs\n", + "A spider has 8 legs\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "TpOnH4OX-UW0" + }, + "source": [ + "####Dictionary comprehensions\n", + "\n", + "These are similar to list comprehensions, but allow you to easily construct dictionaries. For example:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "TRkSL9xy-agB", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "1e032d27-fc2f-4e7c-e960-91d404705fa7" + }, + "source": [ + "nums = [0, 1, 2, 3, 4]\n", + "even_num_to_square = {x: x ** 2 for x in nums if x % 2 == 0}\n", + "print(even_num_to_square) # Prints \"{0: 0, 2: 4, 4: 16}\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "{0: 0, 2: 4, 4: 16}\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "e1KTeO9L-dvv" + }, + "source": [ + "### 2.3. Sets\n", + "\n", + "A set is an unordered collection of distinct elements. As a simple example, consider the following:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "S5RHQxzU-zGT", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "ce4e7da3-917e-496e-c47a-1abc224f2dca" + }, + "source": [ + "animals = {'cat', 'dog', 'cat'}\n", + "print('cat' in animals) # Check if an element is in a set; prints \"True\"\n", + "print('fish' in animals) # prints \"False\"\n", + "animals.add('fish') # Add an element to a set\n", + "print('fish' in animals) # Prints \"True\"\n", + "print(len(animals)) # Number of elements in a set; prints \"3\"\n", + "animals.add('cat') # Adding an element that is already in the set does nothing\n", + "print(len(animals)) # Prints \"3\"\n", + "animals.remove('cat') # Remove an element from a set\n", + "print(len(animals)) # Prints \"2\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "2\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "-DiSqVj_-2wc" + }, + "source": [ + "As usual, everything you want to know about sets can be found [in the documentation](https://docs.python.org/3.7/library/stdtypes.html#set).\n", + "\n", + "####Loops\n", + "\n", + "Iterating over a set has the same syntax as iterating over a list; however since sets are unordered, you cannot make assumptions about the order in which you visit the elements of the set:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "AuI0Qbje_YjJ", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "b4e6fd09-8ad3-4844-eeb4-ddc05ce92833" + }, + "source": [ + "animals = {'cat', 'dog', 'fish'}\n", + "for idx, animal in enumerate(animals):\n", + " print('#%d: %s' % (idx + 1, animal))\n", + "# Prints \"#1: fish\", \"#2: dog\", \"#3: cat\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "#1: cat\n", + "#2: dog\n", + "#3: fish\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "tYGLgdyi_dQZ" + }, + "source": [ + "####Set comprehensions\n", + "\n", + "Like lists and dictionaries, we can easily construct sets using set comprehensions:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "zf0iW5wS_iti", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "a1b260b1-7530-4403-c854-09420e8ec4cc" + }, + "source": [ + "from math import sqrt\n", + "nums = {int(sqrt(x)) for x in range(30)}\n", + "print(nums) # Prints \"{0, 1, 2, 3, 4, 5}\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{0, 1, 2, 3, 4, 5}" + ] + }, + "metadata": {}, + "execution_count": 123 + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "LSwiLjwF_qvE" + }, + "source": [ + "### 2.4. Tuples\n", + "\n", + "A tuple is an (immutable) ordered list of values. A tuple is in many ways similar to a list; one of the most important differences is that tuples can be used as keys in dictionaries and as elements of sets, while lists cannot. Here is a trivial example:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "SP2E-f2k_0_f", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "aa21e8ad-5708-4ab9-ff47-a1ca37f2a46d" + }, + "source": [ + "d = {(x, x + 1): x for x in range(10)} # Create a dictionary with tuple keys\n", + "t = (5, 6) # Create a tuple\n", + "print(type(t)) # Prints \"\"\n", + "print(d[t]) # Prints \"5\"\n", + "print(d[(1, 2)]) # Prints \"1\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "5\n", + "1\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "5LaXPOYH_4U8" + }, + "source": [ + "[The documentation](https://docs.python.org/3.7/tutorial/datastructures.html#tuples-and-sequences) has more information about tuples.\n", + "\n", + "## 3. Functions\n", + "\n", + "Python functions are defined using the `def` keyword. For example:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "_ARQmuBZANYE", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "11d6f55e-b44d-40bc-c670-a18d3e50687d" + }, + "source": [ + "def sign(x):\n", + " if x > 0:\n", + " return 'positive'\n", + " elif x < 0:\n", + " return 'negative'\n", + " else:\n", + " return 'zero'\n", + "\n", + "for x in [-1, 0, 1]:\n", + " print(sign(x))\n", + "# Prints \"negative\", \"zero\", \"positive\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "negative\n", + "zero\n", + "positive\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "YSYs106KAP2K" + }, + "source": [ + "We will often define functions to take optional keyword arguments, like this:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "QMcHx8tRAWs2", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "c8fadb62-05b3-41b9-ee21-754d2c2c6bc9" + }, + "source": [ + "def hello(name, loud=False):\n", + " if loud:\n", + " print('HELLO, %s!' % name.upper())\n", + " else:\n", + " print('Hello, %s' % name)\n", + "\n", + "hello('Bob') # Prints \"Hello, Bob\"\n", + "hello('Fred', loud=True) # Prints \"HELLO, FRED!\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Hello, Bob\n", + "HELLO, FRED!\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "br8jYDJM5rWd", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "0f85552a-f2bc-440e-9cf7-036f7be35252" + }, + "source": [ + "def quicksort(arr):\n", + " if len(arr) <= 1:\n", + " return arr\n", + " pivot = arr[len(arr) // 2]\n", + " left = [x for x in arr if x < pivot]\n", + " middle = [x for x in arr if x == pivot]\n", + " right = [x for x in arr if x > pivot]\n", + " return quicksort(left) + middle + quicksort(right)\n", + "\n", + "print(quicksort([3,6,8,10,0,2,1]))\n", + "# Prints \"[1, 1, 2, 3, 6, 8, 10]\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[0, 1, 2, 3, 6, 8, 10]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "5oeapFkUAbfp" + }, + "source": [ + "There is a lot more information about Python functions [in the documentation](https://docs.python.org/3.7/tutorial/controlflow.html#defining-functions).\n", + "\n", + "## 4. Classes\n", + "\n", + "The syntax for defining classes in Python is straightforward:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "rHxCQsEKAzYk", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "6e0be067-8c28-47d0-b407-972d5606814e" + }, + "source": [ + "class Greeter(object):\n", + "\n", + " # Constructor\n", + " def __init__(self, name):\n", + " self.name = name # Create an instance variable\n", + "\n", + " # Instance method\n", + " def greet(self, loud=False):\n", + " if loud:\n", + " print('HELLO, %s!' % self.name.upper())\n", + " else:\n", + " print('Hello, %s' % self.name)\n", + "\n", + "g = Greeter('Fred') # Construct an instance of the Greeter class\n", + "g.greet() # Call an instance method; prints \"Hello, Fred\"\n", + "g.greet(loud=True) # Call an instance method; prints \"HELLO, FRED!\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Hello, Fred\n", + "HELLO, FRED!\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git "a/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_20_MonteCarloSimulation.ipynb" "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_20_MonteCarloSimulation.ipynb" new file mode 100644 index 0000000..9d8be72 --- /dev/null +++ "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_20_MonteCarloSimulation.ipynb" @@ -0,0 +1,874 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "Z6_3Fx4jZexJ" + }, + "source": [ + "#The Monte Carlo Simulation Tutorial\n", + "\n", + "https://towardsai.net/monte-carlo-simulation \\\n", + "\n", + "\n", + "https://towardsdatascience.com/the-house-always-wins-monte-carlo-simulation-eb82787da2a3 \\\n", + "\n", + "https://towardsdatascience.com/how-to-design-monte-carlo-simulation-138e9214910a" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "VrB1-X_zclHT", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 296 + }, + "outputId": "e781dcec-2323-40e3-cd2d-7f0756f6c6cb" + }, + "source": [ + "# 1. Coin Flip Example\n", + "#Import required libraries :\n", + "\n", + "import random\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "#Coin flip function :\n", + "\n", + "#0 --> Heads\n", + "#1 --> Tails\n", + "\n", + "def coin_flip():\n", + " return random.randint(0,1)\n", + "\n", + "#Monte Carlo Simulation :\n", + "\n", + "#Empty list to store the probability values.\n", + "list1 = []\n", + "\n", + "def monte_carlo(n):\n", + " results = 0\n", + " for i in range(n):\n", + " flip_result = coin_flip()\n", + " results = results + flip_result\n", + "\n", + " #Calculating probability value :\n", + " prob_value = results/(i+1)\n", + "\n", + " #Append the probability values to the list :\n", + " list1.append(prob_value)\n", + "\n", + " #Plot the results :\n", + " plt.axhline(y=0.5, color='r', linestyle='-')\n", + " plt.xlabel(\"Iterations\")\n", + " plt.ylabel(\"Probability\")\n", + " plt.plot(list1)\n", + "\n", + " return results/n\n", + "\n", + "\n", + "#Calling the function :\n", + "\n", + "answer = monte_carlo(5000)\n", + "print(\"Final value :\",answer)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Final value : 0.5022\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "cVviTHDkcjVM" + }, + "source": [ + "# 2. Estimating PI using Circle and Square\n", + "# Run the following code in local machine to visualize the animation and get the output.\n", + "# Import required libraries :\n", + "import turtle\n", + "import random\n", + "import matplotlib.pyplot as plt\n", + "import math\n", + "\n", + "#To visualize the random points :\n", + "myPen = turtle.Turtle()\n", + "myPen.hideturtle()\n", + "myPen.speed(0)\n", + "\n", + "#Drawing a square :\n", + "myPen.up()\n", + "myPen.setposition(-100,-100)\n", + "myPen.down()\n", + "myPen.fd(200)\n", + "myPen.left(90)\n", + "myPen.fd(200)\n", + "\n", + "myPen.left(90)\n", + "myPen.fd(200)\n", + "myPen.left(90)\n", + "myPen.fd(200)\n", + "myPen.left(90)\n", + "\n", + "#Drawing a circle :\n", + "myPen.up()\n", + "myPen.setposition(0,-100)\n", + "myPen.down()\n", + "myPen.circle(100)\n", + "\n", + "#To count the points inside and outside the circle :\n", + "in_circle = 0\n", + "out_circle = 0\n", + "\n", + "#To store the values of PI :\n", + "pi_values = []\n", + "\n", + "#Running for 5 times :\n", + "for i in range(5):\n", + " for j in range(1000):\n", + "\n", + " #Generate random numbers :\n", + " x=random.randrange(-100,100)\n", + " y=random.randrange(-100,100)\n", + "\n", + " #Check if the number lies outside the circle :\n", + " if (x**2+y**2>100**2):\n", + " myPen.color(\"black\")\n", + " myPen.up()\n", + " myPen.goto(x,y)\n", + " myPen.down()\n", + " myPen.dot()\n", + " out_circle = out_circle+1\n", + "\n", + " else:\n", + " myPen.color(\"red\")\n", + " myPen.up()\n", + " myPen.goto(x,y)\n", + " myPen.down()\n", + " myPen.dot()\n", + " in_circle = in_circle+1\n", + "\n", + " #Calculating the value of PI :\n", + " pi = 4.0 * in_circle / (in_circle + out_circle)\n", + "\n", + " #Append the values of PI in list :\n", + " pi_values.append(pi)\n", + "\n", + " #Calculating the errors :\n", + " avg_pi_errors = [abs(math.pi - pi) for pi in pi_values]\n", + "\n", + " #Print the final value of PI for each iterations :\n", + " print (pi_values[-1])\n", + "\n", + "#Plot the PI values :\n", + "plt.axhline(y=math.pi, color='g', linestyle='-')\n", + "plt.plot(pi_values)\n", + "plt.xlabel(\"Iterations\")\n", + "plt.ylabel(\"Value of PI\")\n", + "plt.show()\n", + "\n", + "#Plot the error in calculation :\n", + "plt.axhline(y=0.0, color='g', linestyle='-')\n", + "plt.plot(avg_pi_errors)\n", + "plt.xlabel(\"Iterations\")\n", + "plt.ylabel(\"Error\")\n", + "plt.show()" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "AVJa1lD0dyPW", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 300 + }, + "outputId": "2a25d5ba-6756-494e-a6a5-1aa1407e4aa2" + }, + "source": [ + "# 3. Monty Hall Problem\n", + "#Import required libraries :\n", + "import random\n", + "import matplotlib.pyplot as plt\n", + "\n", + "#We are going with 3 doors :\n", + "#1 - Car\n", + "#2 - Goats\n", + "doors = [\"goat\",\"goat\",\"car\"]\n", + "\n", + "#Empty lists to store probability values :\n", + "switch_win_probability = []\n", + "stick_win_probability = []\n", + "\n", + "plt.axhline(y=0.66666, color='r', linestyle='-')\n", + "plt.axhline(y=0.33333, color='g', linestyle='-')\n", + "\n", + "#Monte_Carlo Simulation :\n", + "def monte_carlo(n):\n", + "\n", + " #Calculating switch and stick wins :\n", + " switch_wins = 0\n", + " stick_wins = 0\n", + "\n", + " for i in range(n):\n", + "\n", + " #Randomly placing the car and goats behind the three doors :\n", + " random.shuffle(doors)\n", + "\n", + " #Contestant's choice :\n", + " k = random.randrange(2)\n", + "\n", + " #If the contestant doesn't get car :\n", + " if doors[k] != 'car':\n", + " switch_wins += 1\n", + "\n", + " #If the contestant got car :\n", + " else:\n", + " stick_wins += 1\n", + "\n", + " #Updating the list values :\n", + " switch_win_probability.append(switch_wins/(i+1))\n", + " stick_win_probability.append(stick_wins/(i+1))\n", + "\n", + " #Plotting the data :\n", + " plt.plot(switch_win_probability)\n", + " plt.plot(stick_win_probability)\n", + "\n", + " #Print the probability values :\n", + " print('Winning probability if you always switch:',switch_win_probability[-1])\n", + " print('Winning probability if you always stick to your original choice:', stick_win_probability[-1])\n", + "\n", + "\n", + "#Calling the function :\n", + "monte_carlo(1000)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Winning probability if you always switch: 0.655\n", + "Winning probability if you always stick to your original choice: 0.345\n" + ], + "name": "stdout" + }, + { + "output_type": "display_data", + "data": { + "image/png": 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\n", 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    " + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "ovKO042Rd5lk", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 283 + }, + "outputId": "5de6bf78-f6f2-456f-855a-14736042fc5e" + }, + "source": [ + "# Buffon's Needle Problem\n", + "# Import required libraries :\n", + "import random\n", + "import math\n", + "import matplotlib.pyplot as plt\n", + "\n", + "#Main function to estimate PI value :\n", + "def monte_carlo(runs,needles,n_length,b_width):\n", + " #Empty list to store pi values :\n", + " pi_values = []\n", + "\n", + " #Horizontal line for actual value of PI :\n", + " plt.axhline(y=math.pi, color='r', linestyle='-')\n", + "\n", + " #For all runs :\n", + " for i in range(runs):\n", + " #Initialize number of hits as 0.\n", + " nhits = 0\n", + "\n", + " #For all needles :\n", + " for j in range(needles):\n", + " #We will find the distance from the nearest vertical line :\n", + " #Min = 0 Max = b_width/2\n", + " x = random.uniform(0,b_width/2.0)\n", + "\n", + " #The theta value will be from 0 to pi/2 :\n", + " theta = random.uniform(0,math.pi/2)\n", + "\n", + " #Checking if the needle crosses the line or not :\n", + " xtip = x - (n_length/2.0)*math.cos(theta)\n", + " if xtip < 0 :\n", + " nhits += 1\n", + "\n", + " #Going with the formula :\n", + " numerator = 2.0 * n_length * needles\n", + " denominator = b_width * nhits\n", + "\n", + " #Append the final value of pi :\n", + " pi_values.append((numerator/denominator))\n", + "\n", + " #Final pi value after all iterations :\n", + " print(pi_values[-1])\n", + "\n", + " #Plotting the graph :\n", + " plt.plot(pi_values)\n", + "\n", + "#Total number of runs :\n", + "runs = 100\n", + "\n", + "#Total number of needles :\n", + "needles = 100000\n", + "\n", + "#Length of needle :\n", + "n_length = 2\n", + "\n", + "#space between 2 verical lines :\n", + "b_width =2\n", + "\n", + "#Calling the main function :\n", + "monte_carlo(runs,needles,n_length,b_width)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "3.148317224443535\n" + ], + "name": "stdout" + }, + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "NDL_0FXNeLX-" + }, + "source": [ + "# Why Does the House Always Win?\n", + "#Import required libraries :\n", + "\n", + "import random\n", + "import matplotlib.pyplot as plt" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DjU3-wGNeScU" + }, + "source": [ + "Rules:\n", + "1. There are chips containing numbers ranging from 1–100 in a bag.\n", + "2. Users can bet on even or odd chips.\n", + "3. In this game, 10 and 11 are special numbers. If we bet on evens, then 10 will be counted as an odd number, and if we bet on odds, then 11 will be counted as an even number.\n", + "4. If we bet on even numbers and we get 10 then we lose.\n", + "5. If we bet on odd numbers and we get 11 then we lose." + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "UnNC0nKWeTpI", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 52 + }, + "outputId": "aa294ab9-073c-494b-85ad-0cf61a955790" + }, + "source": [ + "#Place your bet:\n", + "\n", + "#User can choose even or odd number :\n", + "choice = input(\"Do you want to bet on Even number or Odd number \\n\")\n", + "\n", + "#For even :\n", + "if choice==\"Even\":\n", + " def pickNote():\n", + " #Get random number between 1-100.\n", + " note = random.randint(1,100)\n", + "\n", + " #Check for our game conditions.\n", + "\n", + " #Notice that 10 isn't considered as even number.\n", + " if note%2!=0 or note==10:\n", + " return False\n", + " elif note%2==0:\n", + " return True\n", + "\n", + "#For odd :\n", + "elif choice==\"Odd\":\n", + " def pickNote():\n", + " #Get random number between 1-100.\n", + " note = random.randint(1,100)\n", + "\n", + " #Check for our game conditions.\n", + "\n", + " #Notice that 11 isn't considered as odd number.\n", + " if note%2==0 or note==11:\n", + " return False\n", + " elif note%2==1:\n", + " return True" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Do you want to bet on Even number or Odd number \n", + "Even\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "oFPvrcAaeXFo" + }, + "source": [ + "#Main function :\n", + "def play(total_money, bet_money, total_plays):\n", + "\n", + " num_of_plays = []\n", + " money = []\n", + "\n", + " #Start with play number 1\n", + " play = 1\n", + "\n", + " for play in range(total_plays):\n", + " #Win :\n", + " if pickNote():\n", + " #Add the money to our funds\n", + " total_money = total_money + bet_money\n", + " #Append the play number\n", + " num_of_plays.append(play)\n", + " #Append the new fund amount\n", + " money.append(total_money)\n", + "\n", + " #Lose :\n", + " else:\n", + " #Add the money to our funds\n", + " total_money = total_money - bet_money\n", + " #Append the play number\n", + " num_of_plays.append(play)\n", + " #Append the new fund amount\n", + " money.append(total_money)\n", + "\n", + " #Plot the data :\n", + " plt.ylabel('Player Money in $')\n", + " plt.xlabel('Number of bets')\n", + " plt.plot(num_of_plays,money)\n", + "\n", + " #Final value after all the iterations :\n", + " final_funds.append(money[-1])\n", + " return(final_funds)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "K6-Mxo3xeZZi", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 349 + }, + "outputId": "907821d9-aaab-4b39-a517-3bbbac625f6f" + }, + "source": [ + "#Create a list for calculating final funds\n", + "final_funds= []\n", + "\n", + "#Run 10 iterations :\n", + "for i in range(10):\n", + " ending_fund = play(10000,100,50)\n", + "\n", + "print(ending_fund)\n", + "print(sum(ending_fund))\n", + "\n", + "#Print the money the player ends with\n", + "print(\"The player started with $10,000\")\n", + "print(\"The player left with $\",str(sum(ending_fund)/len(ending_fund)))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "[10400, 9600, 8400, 10600, 10400, 10600, 8800, 10400, 9600, 9400]\n", + "98200\n", + "The player started with $10,000\n", + "The player left with $ 9820.0\n" + ], + "name": "stdout" + }, + { + "output_type": "display_data", + "data": { + "image/png": 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/CnxZicjIvEIkrF1Lyt592EyehEmHDlrlwxIz+ERVj2/eGsXIGn047qd9cXxaJEmiytw5VFu9CtsZX5T7+QF8z5/m0o7N5Kqy2fPL96QnlR5QmZWWxu4F36LKSOfGwX3cOnpQ6xgXd2zG78IZ0pMS2PPLPHJU2jP4lmSLKA4h8uNmfHywX7AAfRcXreeXJIkq8+dTbfWqQjnNSiJXpeLYqUPkGhnSa+ZcTB2dtPbRMzGh9/cLeLNxc8zr1tcq/7TISkRG5hUh7cwZYn75FZOuXbAaM0arfIYql1EbrpGjEXzz/SfUrG7DlC03uRdd/lHXkp4eldq2LWKbKQ+iAwM48vsSqtapj/u3C8hKT2PPr/PILSGgUqNW8++Sn0iJjaX/1/NwbtyME3+tJMzHu8Qx7l2+wMXt/1CvbQc+mPoV0UEBHF31G9q284uzRZRE/B9/kLJ/PzZTpmDSoexxMwp9/bzvVkvcjBCCY3+sIPKeH10nfo59szfLPIZFbVfe/r85KMqh3PCTyEpERuYVIDswkPCp09CvUwf7efO07r8LIfh82y3uRqWw1L0J9e3NWD3MDQNdHUZt8CQp4+mNwS+D9KREdv/yPYZmZvSYOhM7l9p0+fQzIv3vcvzPFcUu8mc2reXB7Ru8O3IcDnUb0G3SdMxsq7B34Q8kx0QXkY8NCebg8oVUcXGl06gJuLi14O0BQ/E9d4qre3donaNOJWMcVqxAAkLHj0edllZEJvXkSWIXLsK0WzesRo96pu9CG9cP7OXO6WO07OtO7RbaMxC8KGQlIiPzklGnpBA2bjySnh7Vli9DYWSktc9vJwI44BXFl13q0N41z5XX3tyQlUObEp6UyYR/bpCrrji3zvIgNyeHPb/OIys1lV7Tv8bILM9+4NqqNS37DsL75FFuHNpXqM+d08e5tn8PTbp8QMMOnQEwMK5Er+lfo1Gr2bPgO3LyXWYBMlKS2f3zd+gbGdHj8/9Dme8226L3AGq3asNZj/UE3riqda561apRdcliVEHBREz/olARr+z794n4fDoGdes+lQH+aQi+dZ3Tf/+Jy5uteKufe7mf/3moMCUiSdJaSZJiJEnyfqzNUpKko5Ik3cv/1yK/vZ0kScmSJN3M/5n9WJ8ukiT5SZIUIEnSl4+1O0uSdDm/fYskSS+uGIGMTDkh1GrCp32OKjw8z23W3l5rn8N3olh41J/eTaoyum2NQsfcnCz5vlcDzgXE8cOBsifue9EIITj+5woi/e/SZdwUKjsVvo63+g3G5c2WnNrwBw9u3wQgwv8uR1f/RvUGjXhn2CeF5C3tq9J98hfEhYZwcMVChEaDOjeXfxf9SHpSAj0/n0UlC8sCeUmS6DJ2MjaOzuxfsoD48FCtczZu2TKviNfJk8QuWQo8FjdjYFBhcTOJkeH8u+QnrKpVp+uEqUgVsCX1PFTkbNYBXZ5o+xI4LoSoBRzP//yQs0KIxvk/3wJIkqQDLAe6AvUAd0mS6uXL/wQsEkK4AIlA4btKRuY/QMyvC0k/exa7r2dh5FbEe7IIflGpTN1ykzcczJjfp2GxT70D36zOh285sfZ8ENs8tS+OL4Mbh/bhffIoLfsMxLVVmyLHJYWCruOnYmnvwL+LfyTUx4u9v86jkpU170/5slgXXefGzWgz5EPuXb7ApZ1bOLl+DaE+XnQeMwk7l9pF5HUNDOg1fRY6urrsWfAdWcVsUz2JxdAhmPfvR/yqVSTv+7cgp5nDb0srJG4mOyOD3Qu+R1Lo0Gv6LPQMXr3gzgpTIkKIM0DCE809gYdlxNYDvSid5kCAECJQCKECNgM9pby/nA7A9qc4l8wryvH4FHzTMivs/EII9t6KIDK54sZ4FpL37CFh7VosBg/GYsAArfKJ6SpGbriKsb6SVfn2j5KY1b0ub7tY8X+7vLn2oGyp418UD7xucmrDH9R0a8lb/YeUKKdnaESvL2aDJLF17kxUWVn0mv41hiamJfZxe7839dq058K2Tdw6sh+3D/pQr03JRm5T68r0mPYVyTEx/Pn9t6hUpWdHliQJu6+/xrBpUyKmTyf9wgWqfDMbo6ZNtV/4U5KTm8uf339HYlQEPT77ErPKdlr7nL3lz96zN8p9LqXxot+LbIUQkfn/jwJsHzvWSpKkW5IkHZQk6aEfWlXg8UepsPw2KyBJCJH7RHuxSJI0WpIkT0mSPGOfI42BTPlzJC6ZobcD6XszgAeZ2l0un4U/zwUxyeMGw/68QmqW9hTqL4LM27eJ/Ho2Rs2bYzvzS63yOWoN4/+5TnRyNiuHNcPOzKBUeaWOgmXuTbEzM2DsxmtEJWeVKv+iSIqK5N9FP2Jp70C3MmzNmNva8cFnM6lkZU23iZ9jXc2xVHlJkug0eiLVGzSidou3aTNYewZjG5c6+NfsRFaQD4vmL9IqL+np4bB0Cfq1XLAaNbLC4mYW/7SUzPte+Dt3xKa2dtfca3eDObRzC57H9rDv3M0KmVNxvLTNtfyEXg9dL64DjkKIN4DfgN3lPNZqIYSbEMLN5iWU4ZQpHr/0LMb5PKCusQFqAR96BZGeW761HE77x/LDAV/cHC0IjktnyuabqDUvN0tDTkwMYRMmorSxoeqSxUi6ulr7zNvvy4X78fzQpyFNq1uUaRwLYz3+GOFGRnYuo//2JCun/OtkPA2qzAx2L/gOJIle079Gz1C7AwFA9QaNGL38L1zcWpRJXqmnR79Z8/hg6kwUCu1us7N33+FgjhPRVZuh9DnD+vXbS+0DeUW8nPfupfK0ikknsumf3ShunyDavgmHcmvw1U6vUt2RoxNS2LJlCxpJQZaOEReP/Yt3YESFzO1JXrQSiZYkqQpA/r8xAEKIFCFEWv7/DwC6kiRZA+FAtcf6O+S3xQPmkiQpn2iX+Y+QmJPLCK9ADHUUbGxUg1X1HfFLz2LS3RA05ZSKJygunYn/XKe2rQnrP27ONx/U4/jdGH494lcu538WNNnZhE2ciDotDYcVK1BaaFcIW66GsO5CMJ+0dqZfM4enGq+2rQmLBjbmdlgyX+64rTUuoqIQGg0Hli0kISKM96fMwNzu6ewHT+vxVFb59ReC2eIZyoT2Lnw7//9IsXAk6uDfnD5/rdznVFYuXL5J2N51pJhVY+78WXzWyZWdN8L542xQsfKqnFx+Xb0BfU0W7bv2ZOjgwQBs2LiJhJT0Cpnj47xoJbIXePh+OQLYAyBJkl2+nQNJkprnzyseuArUyvfE0gMGAXvz32JOAv2ePJfMq0+uRjDmTjARWTmsbeCMvYEe7SxN+cbFnv2xySwMLurr/7SkZOUwcv1VlDoK1gx3w1hfydCWjrg3r86KU/fZe+vFPKU9jhCCqG/mkHXrNvY//YiBa1Fj75N4Bicwa7c3bWpZM7NrnWcat3N9O6Z1qs3umxGsPhP4TOd4Xi5s28R9z0u0Gz4Sx4aNX8ocnuR8QBzf7felUz1bpnaqjYG+HmPmzCVb15izK34mKOTF3yMhYdEc/+1HspWGjJwzF0MDfSZ2cKFrAzvmH/TltH/R7fj5f2zFKCuOqo3eonOLBjRycaBFh+4YqNP5aeUG1BXs6l2RLr4ewEXAVZKkMEmSPgF+BDpJknQPeDf/M+QpA29Jkm4BS4FBD9PlAxOAw4AvsFUIcSe/zwxgqiRJAeTZSP6sqGuRKV++vR/BmcQ0fnR14E2zR3l/RjvYMMDOgl+Co9gfm/TM51drBFM23+RBfAYrhjSlmmXetokkScztUZ/mTpZ8sf0WXmHJz30tT0PC+vUk796N9YQJmHbqpFU+PCmTsRuvUdXckGXuTVHqPPuf64QOLnRvWIUfD93l5N2YZz7Ps+B38SyXdm6hQftONOnywQsduyQexKcz/p/r1LQxZtHAxigUeW8V9nbWdPnsK5RqFeu+/Ya09BfnjJGRmcWfc79BLzeLTpO/pJp9XvyPQiHxS/83qG1rwoR/rhMY+8iL7I/dJxDR/gjrmozt++ie6tm2CZaub2KYEc1Pf2kPqHweKtI7y10IUUUIoSuEcBBC/CmEiBdCdBRC1BJCvCuESMiXXSaEqC+EeEMI0VIIceGx8xwQQtQWQtQUQsx7rD1QCNFcCOEihOgvhKgYq6xMueIRGc/qsFhGOlgzuIpVoWOSJPFz7Wo0NTVigk8IPs/osbXgsB8n7sbwTY/6tKxReAw9pYIVQ5tiZazP6L89iUl9MQbntLPniPl5ASadO2M97lOt8pkqNaM3eJKVo+GPEW6YGWm3m5SGJEks6N+IunamTPK4QUCMdnfW8iA66D6HVizGvnZdOn4yrsK2gJ6GtOxcRm3Iy+S9ZrgblfQLuws3b9qAGv1GYZoayaI58yq0FsdDNBoNC+f+iGlKGNV6fUyrN98odNxYX8ma4W7o6igYucGTlKwcjnv68ODGWdL1LJk5elCRc04a1JUc8+qowu7w94FzFTb3VytqReZ/Gs/kdGb4hdHGohJzahbvTGego+CvBs6YKXUY4RVEvCq3WLmS2HMznJWn7zO4RXWGtSzek8e6kj6rhzcjMUPFpxuvk13OxvwnUQUHEz5tWl4Nifk/aPVIEkIwffstfCJTWOreGJfKJuUyDyM9JWtGuKGnVDB6gyfJmRXrqZaRnMSeBd9jYGJCj2lfoSyDA0FFo9EIPttyk/ux6Swf3BRHq+Iz4A7o1w2p6XsYhdxkxW9rK3xeq1ZuwDDIE/HGuwwe1KNYmWqWRqwY0pSQ+Awmrr/A0X93oVLo89no4RjoFf1uFQoFX40dQrrSDL/LJzhz3b9C5i4rERlUKhWbNm3i4sWLZe6zKSKeATcDSMop2yIfkaXiY+8gqujrsqq+E0pFyU+ktvq6/NXQmRhVDqPuBJNTRm+qHQExjAsKp04dK+Z8ULpLZH17M37p/wbXHiQye/edMhucj/pE03/lBcISM8oknxSbwOXBH5OtIS+i2bjktN0P+XXTAbJ8TzOtYw061LHVKv80VDU35PehzQhNzGCSx40ye6pde5BInxXn8Q4v2xZgWnoGC+b/SJyOPr0+n4Wxedk8yp6GxHQVQ/64xNanCKhcdMyfoz7R+XE01qXKTp42jrQq9ci8sIe9+0+U6fxCCPbv38++ffvK/Aaz4+/DpJ/eQbpVbT77YmKpsi1rWDHrvVpUC72KnlDTu19/7K1LTjdvbKDP+JHDACUndu3APyCqTHN6GmQl8pojhGD37t3cu3ePw4cP4+Pjo7XPmYRUvvAP5UxiGmPvPCBXy0KUqdbwoXcQ6WoN6xo6Y6mrPRNsE1MjfnWtxoWkNL4O0O5455OQxqSAUNTmeoS5GBOv1q7c3m9kz4T2LmzxDGX9hWDtY0SkMMnjBleDExm14RoZWt6ScnNyOffhOMwTo5nVeDDn07Vn5tly7DKp967ioJOMVezNCtlKae5sydweDTjtH8tPh7SnRolIymTM355cD0li9AZP4tJK3zlWq9X8+uPPCAMDVFZ27LpRvFfR85Cr1jDB4zrnA+KZudOLC/e1p8DffzuS304EMMDNgQ/fctIqr6PUYfLcr0k3subOxmXc8tb+JH/27FmuXr3KtWvXOH36tFb5a5fvErx/DQqFJdXNPiAnu/Tft0ajIf3KWZTKNMyT6mCRpv2hRC9ViU1ifZSSJbZ2ZlrlnxZZibzmnDlzBh8fHzp06EDVqlXZtWsX0dEle0cFZWQz+k4wLkYGfOdSlVOJqXxXij+6EIJpfqF4pWayop4jdSuVPW1DPztLxlWrzLrwOP6OKHmRSFHl0POiH2qlxMwqNmRqBB95BZNZBq+UqZ1q06meLd/t9+V8QMljxKdlM2qDJ6aGSn7u14i7USlM31a6y+yBKd9Q8/4tgt3HktuwKZM8bnA/tmRbhKdvMLfPHiFDaUK79h3x8/Pj1KlTWq/hWRjcojrDWzmy+kwgO6+HlSiXqVLnx5hoWDywMQkZKj7deA1Vbsnf7ZIlKxA6oJR0yTCwJvz2BQ5fLjlN+7Pw/X5fzgfEM+eDejhbGzN+03VCE0p+O7wTkczn227RzNGC73o1KLNtxtzMhEFffYNG0mH3gu+JSyjZ4ePu3bucOHGChg0b0rhxY06fPl3qQ1lMdCInlswHBG8MmEhmKhxe442mlPt2x/qDxLp+5vAAACAASURBVKaHUKtKY5yru3By411iHqSUKJ8Sn8mh1V5YW9gy/cuPMXuKv7+yIiuR1xhfX19OnjxJo0aNaNOmDQMHDkRfXx8PDw/S04v6l6fmqhnhFYQEbGjozKhqNnxS1ZpVobFsiXwyw00ey0Ni2BmdyAxnO96zfvqnoP+rWYUOlibM9A/jUlLRBVij0dD1+B1SjXT41NyCyXWqsryuIzdTM5juF6p1m0qhkFg0sDE1bYwZ/891HsQXve4ctYZxm64Tm5bN6mFuDHCrxpdd6rDfK5JlJwKKPe+J5X9T6/hO/Ju/ywezJ7J6eDP0dBSMWl+8LSI6IYWtW7eglhSM/mgo77RtTZMmTThz5gze3uW7AD/k6/fr0aqGFV/u9OJmaNHFUQjBFztucycihSWDGtOrSVUW9HuDq8GJfLPXu9jvdsv2vaQkx4Eqh+kzpzNt9HCyFQacOrgHv5Dnd90G2Ho1tCBu5sO3nVkz3A21RjByvSdp2UXfDuPSshm94RrmRrqsHNoMfWXpAYhPUqeWE24fT8EwK4lls+eQk1t0jJiYGHbu3Im9vT09evTg/fffx8HBgV27dhEVVXQLKVeVy7ov56JQJ+DYbRQde7vRbrArYXcTubDjfrHzOH/8OneCr2JpUBX3UT3oMroBRiZ6HPjdi/Tkom+HOdlqDq70Qp2jodunDdF/TueMkpCVyGtKdHQ0u3btomrVqnzwwQdIkoSpqSmDBg0iNTWVbdu2oVY/MjhrhGC8zwPuZ2axpoETjob6AMxxqUpr80pM9wvlWnLhBfhYfArzAiPpUdmcyY7PtrevI0n8Xs8RJ0N9PvEOJjSrcJ2M0ef8uW8ArdRKvnFzBqCLjRkznO3YHp3I76Ha09xUyvd8ARi1oehCNHffHS4HJfBz30a8US1v/3l02xr0blKVX4/6c+RO4UXi9olLWC7/meCqtemyagEADhZG/D60GSEJRW0Rqpxcfl21Hn1NFh279aSWgy2SJNG9e3eqVavG7t27iYyMpLzR1VGwfEhTKpvoM+ZvT2JSCnuqrTh1n323Ivi8sysd6+b9/j54w55x7WricSWUvy8VLtB09boXvreuQE4OoyZOQl9PD1tLUwYOHIhCaPhj/UZS0p/PG+7agwT+b7dXobgZZ2tjlg9pyr2YvOSUmse/21wN4zZeJy7/AcDGRP+Zxn3v3bcx69Afk9gAFs1fUuhYRkYGHh4e6OnpMWjQIHR1dVEqlQwcOBADA4NiH8qWfrkQnYwA9F270W94Xp7aum/Z06iDA7dOhOJ7ofDbfeDdUI6dOYC+ZMIn44eiUCgwNNGj27iGZGfkcGhVnrJ4iBCC4+t9iQtLo9Mn9bGw077t9azISuQ15PGbfuDAgeg+5jXj4OBAjx49CA4O5tChQwXtPwdFcSQ+hW9dqtLa4pG3kK5CYnUDJ6ro6/KRdxCR2XmL/L30LD69E0yDSoYsqlPtuVw7zXSVrGvoTI7Q8JFXEOn5ym2FVxj/5mRil6FhW/t6hfpMcbTlAxtzvr8fwfH4kl/3H+JoZczywU25H5vOZ48tRJsuP2DjpRDGtK1BryaPPMokSWJ+n4a84WDGZ1tu4heVV00wKiiM1M8/I83QhGZ/rUTf8FGOq+bOlnzbs6gtYv4fWzHKjsfhjdZ0at6goP3hQmRkZISHhwdpZcgy+7RY5qdGSc3KZfTf1wpSoxzzieaXI34FSuNxPu/sSsc6lZm7z6fAFhETG8/+7R6AROee/aha5dFDQ7M6TjR+5z2MclOZv3LDM9t58mwz14uNm2lTy4b/616PIz7RLD7+qEb7nH13uBKcwM/9GtHQ4fnsAWPGDCOrZnN0vE+ycdMuIM/+s23bNlJSUhg4cCCmpo+SQ5qYmDBo0CDS09PZunUruflvMOuWbEWEn0Fj3ohPvxldaIy3+7rgUMeCU//4ERWY58SQnJiGh8dmJCSGjRiCscmjLSlrBxM6jqhHVGAKpzz8Ct4Orx18wP3rMbTqVROnhqU7EDwvOnPmzKnQAV41Vq9ePWf06NHaBf9HUavVeHh4EBsby7Bhwygul5idnR0qlYrLly9TqVIlrugYMisgnCFVLJnhXKWIQjDUUdDaohLrI+I5m5hGJytT3G8FkitgexMXrItxP3xaLHWV1KtkyKrQWAIzVJjnCCYGhqOfIzjdvgGm+oXHkCSJjlYmHI9P5Z/IeLramGk16Fe3NMLUQMna88FohEBHkpjocYO2tW34ud8bKJ64bqWOgvauldlxPYyD3lF0dbXi5pCPsEiJp9Jvv+PcyLXIGA0dzIhPU/HX+WCqWxpx9tJVUu/fABsXPh9RNBG1np4ejo6OXLlyhZCQEBo2bFjuJU6tK+lT06YSf5wLIjI5ixrWxny07iq1bSuxZpgbusrC40mSRIc6lTl8J5rt18J4r64Nfyz+FXSV1Kr7Bt27dCwyRn3nqniGJKGJvsfVB8m83fjpou8zVWqGr71MXJqKf0a1wN686N5+k2rmhCdl8tf5YFxtTbgUlMDS4/f4tF1NPmldo5izPj1vvt2S4ycvkuV1FlHVFd87t/H29qZHjx64uhb9fZuammJubs6lS5fIyMgg5H4iQft+R6Nnx9jFP2BgWPjNSFJIODW0JuBaDH6Xo3BubMXalX+TqU7i/c59qNOo6HVY2hsjNILbJ8LQN9IlM1XFqU1+1G5uy9v9XMotNmfu3LmRc+bMWf1ku/Sycum8LNzc3ISnp+fLnkaxxMfHY2pqWujNoDQycjKIz4qnmkk17cL5HDhwgCtXrtCrVy8aNy45/YRGo+Gff/7hcnQce5u14w1TY7Y3roleKQvYodhkPvQOwkQhkSVge+OatDCvpHVOvg8isTarhI259niI5SExfHc/AkWuQAjBzgY1aGVfsotjaJaKLp7+mCt1ONCsFmZaFIkQghk7brPVMwwTfSU2pvrsGvc2ZoYl/06uhyQycOVFBoccY8C1Q8RO+Zp2Y0quPpej1jDsz8s8CAnlXR1fsg0s+f7zT9ErZW5eXl7s2LGDpk2bFmw/loXExESMjIzQ19e+jbP4mD+/HfOjsoGaHGUl9k54u9jF+iFBcen0XHaOdukXsTQGYyNzpn8xpUR5jUbD/y36E72UcOq27sKgTi3LdA1CCCZvvsm+2xH8MdytYGutOLJz1QxafYmQsBSyNYLmdWxYM9wNnVJcyp+W0IgY1n0xGY2JKcK2Ci1btqRLlydLJxXm6NGjnD9/Hv2oKHSTk+gx+2dq161eonx8RBo7frpGitF90vRDaOramh7u75YoLzSCg6u8CL4dh46eDpZ2RvSe1hSl3tPZf0pDkqRrQogiRW/k7axXhMDAQJYtW8amTZsK2SJKIludzcgjI+m5uye3Ym+VaYxr165x5coVWrVqVaoCgbxApbYf9ORwg5boZWWysJplqQoE8mwRfXLTSNUIPlFklUmBXLpzn41r17Bg6coyJYsbW9WaqukaNAqYY1+5VAUCUM1Ajz8bOBGSpWKszwPUWh6aJEniu14NcHO0ACkvork0BQLQtLoFvWtmsuqT4cyb9m2pCgTybBE/96hNO2UAKoU+U0YNK1WBADRs2JDWrVtz/fp1rl7VXs4VIDw8nOXLl/PXX3+hUmmvuT6hXU0GWj6gk7jJt+2tSlUgkGeLmOYUh6UxSLmCqdNKj3FQKBTMHDuMDKUJXueO4ukbXKbr+P10Xq6zx20zJaGv1GFht/oMTtJjeJoBP75fr1wVCEA1+8o0GzYKUdkWkZVN6zZttfZp0eItdNKzyLa1xfGDYaUqEAAr+0rU6KQkTT8Ee3OXUhUI5L3BvPtRPSztjdHT16Hr2IblqkBKQ1YirwAJCQls27YNY2PjIraI4hBCMPfCXLzivDDVM2XKySlEp5fu+fLgwQP2799PzZo16VSGvE0qjYYJ96NQ6Rvyvt91ju3YpnUhunnzJpXPH2PsrTNIJw9x7969UuXDY5PYtX0bGklR5mRxi47dI+5cJLMMzBjToGwZbVuaV+KH2lU5mZDKvPvaDdT6Sh3+GdWS09PbU9NGuyI8cu4SGx2dsMrM4ERNF/6JiC9VPicnh0N7d1BJD8Z9MqLUYLHH6dChA7Vr1+bgwYMEBZUee5GamsrmzZvR19cnKiqKPXv2aPVUO3bsKHoZcVSqZMzts4eJjy/9OnxvXCMo0A99TS7TZ85AR0f7omVqbMDoj4ailhRs3bqZqPjSgxeP+0az4LAfPYqxzRSHKiuXy3/7YaKnxFRScH69X7knIExOTubO7Wvo6hti8sCHRd/+qNXOs2rGjxiG+aLU0Sco7A6JiaUXCgsPD+fijRNUc6jOxxOKpjQpDj0DJf1muDF4TgsqWZReb6Y8kZXISyY7O5vNmzcjhOCjjz7irbfeKghWKokNPhvYF7iPcY3HsabzGjJyMphycgpZucV7viQlJbFlyxbMzc3p16+f1j11IQRf+YdzJTmdxXWrM65bZ6Kioti9e3eJC1FYWBj79u3DycmJL8eOxtbWlu3btxMXV3zsRZYqh8VrNqCnyebd9/tiVae51mRx+25FsOxkAO5vVmP8W86lXsOTDLO35sOq1qwIjWF7VPHuyI+jp1Rgaaw9ONA/IJDxyWocE+M4+1YD3rEwYYZ/GFeKcUeG/CqLe/cSERFB3z59cHQoe0p0hUJBnz59sLKyYuvWrSUuRLm5uWzZsoWsrCyGDh1Kx44duXPnDufOlZw/6caNG1y6dIkWLVowauRIJEnCw8ODrKzi76m46Ci279yFQmj4aPQYjIzLVhsEoJaDLR279UJfk83C1RtQlZD1ICAmlcmbb1Lf3pSf+jbSuoUnNHkeSQkR6XQZ3YAOw+oQcS+Jc1tKf5h5GlQqFZs3byYnJ4fRo0YiNeqAUfB1Vq5YX2KfFXNXo0i4gWTbkrHjRqNWq9m8eTPZ2cUHbT58ADAxMWGQ+0CUxZQCLgmlnk6FufKWhKxEXiIajYZdu3YRGxtL//79sbKy4t1338XFxYX9+/fz4MGDIn3OhZ9j4bWFdHLsxJhGY6hlUYv5bebjHe/N3ItziyzyD296tVqNu7s7hobag43+Co9jY2Q8kx1t6WVrQa1atejUqRM+Pj6cOXOmiHxKSkrBTd+/f38MDAwYNGgQOjo6eHh4kJlZNJHi/NWbMVYl4NikLR3d6jJxYBdyLRxLTBbnHZ7M9O23cHO04NueZQ8We5zvXKrylnklpvmFciOlbGlLSiMpOYXhN+4hCcGGZq5Ympuyqr4jDga6fOwdTFhW0Te3Cxcu4OXlRYcOHahT5+lTuxsYGODu7o4QAg8PjyIL0cO0G2FhYfTq1YsqVarQunVrGjRowPHjx/HzK1pLJTQ0lH///RdnZ2c6d+6MhYUFAwYMICEhgR07dhR5ylZlZ7P29+WoJQW9unfHzqHsNrmHdGpeH4c3WmOUHc8Pa7YUOZ6ckcPI9Z4Y6OqwepgbhmXYmrl6IJjAG7G81deF6vWsqN3cjiadq+N9JhzvM89fbujhA0BkZCR9+/bFxsaGKdMnkGpbh/SzO9l/sGiE+s6NR8n0+Re1YQ0m/Pw51tbW9O/fn5iYGHbv3l3ku83JySl4ABg0aBDGZUiT87J5KiUiSdLbkiR1kV6FVJz/A5w6dYq7d+/y3nvvUbNm3qu6QqGgb9++WFhYsGXLFpKSHgWBBSUH8cXpL6hlXovv3/4ehZT36+tQvQPjG4/n38B/WXdnXYG8EII9e/YQFRVVcNNr41xiKl8HhNPZypQZzo9qOr/11ls0atSIkydPcvfuI/fUhzd9dnY27u7uBTe9ubk5AwcOJDExschC9Pv2o0hx95FsazOyV/uC6545ZjDpuub4XT7B2VuPnh5jU7MZvcETSyM9fh/aDD3lsz376Cok1tR3orKeLh95BRGd/ewJCNVqNaP2nSTEwprlFnrUquGUd926StY3rEGWJs8dOeOxrRR/f3+OHj1K/fr1adOmzTOPbWVlRb9+/YiNjWXXrl2FvtvLly9z48YN2rZtS/36efnDJEmiZ8+eVKlShR07dhAT8ygVfEpKXkU8U1NT+vfvX7Al5ezsTNeuXbl37x7Hjx8vNP5fSxeTgQ4tGtajUctWz3wdY/p0BBsXiLnH6l2PxniY0iQ8KZOVQ5tqtc0A3L8ew9V/g6jT0o43Oj5Sai171cSxgRVnN/sT7v98tebPnTuHt7c3HTt2LPDE0lHqMOnbb0g3tOLWhqV4+zwKFLx+xY+gf1chdMwZ+sNs9PO9FF1cXOjUqRO+vr6FHsoefwDo3bs3dnbaa6q/CpT61yhJ0oaH9c4lSRoLLAMmItfueG7u3LnDmTNnaNy4MS1aFC77aWhoiLu7e8Frr0qlIlWVyqQTk1AqlCztsBQj3cLbB2MajaGzY2cWXVvE2bCzQF4enzt37vDuu+9Su7b2AkgPMrMZ5R1MTUMDltdzLOTSKkkSH3zwAfb29uzcuZPo6GiEEOzbt4/w8HD69OmDrW1ho6ejoyPdunUjICCAY8eOAXD4sjcRXhfIMLBm5sgBheSNDfSZ8MlwciQl/+7aTkh0AqpcDZ9uvEZChorVw589WOwhVnpK1jd0JkWt5iPvILKecb98zrZ/OVvVkZkp0XR6u3mhY7WNDfi9niPeaZl8djcEIQSxsbHs2LEDOzs7evbs+dxuly4uLnTu3Jm7d+8W5Gi6f/8+hw8fxtXVlXbt2hWS19XVLQiE8/DwICMjg5ycnIL7y93dHSOjwvfUm2++SbNmzTh//jy3b98GYPff64hMz6SauQld+5dtr740vho9iAx9K0JvnuPo1bwUIfMP3uXsvTi+79UANydLreeIC0vj2DofbJ1NeWeIa6HvVqGQ6PRJfUxtDDm02puUuGcrL+Dn58fx48dp0KABrVu3LnTM0tyEATO/AUlix0/fEp+YTGxMEsfzU5q0GT8De/vCsRqtWrWiUaNGnDp1Cl9fXwAuXbrEzZs3eeedd6hXr3Dc06tMiS6+kiQ5AgeBLoBEXt3ziUAYcCC/PUkIoT2S6xXiVXDxjYyMZO3atdja2vLhhx+WuOd57949Nm3aRN16dTllcYpLkZdY03kNbnZFvOyAPJffEYdGEJ4azvw68zm59yQNGzakT58+WhettFw171+/R1R2Dgeb1cbZqPjFOiUlhdWrV6NUKmnUqBFnzpyhXbt2RRatx9m/fz9Xr17lzbff4dz5C6glJdMmfoqtpWmx8mdu+nNklwfZemZItd5h6/UIfnNvwgdv2Jd6DU/D/tgkPvEOZoCdBUvqVH+qRd3j8Ak+07Okd0QQy917lmhj+u1BNPMCI5lezRq9g7vIzMxk9OjRmJuXzZCujYdvmjdv3qRz586cOXMGExMTRo4cWaJLb0hICOvXr8fR0RFjY2O8vLwYNGhQiVtrubm5bNiwgYiICNwa1OfSjZuY6MDkr2ahVJbP3ntEXBKLl69EIdRUbfk+v54K48O3nJjTo/RMzACZaSq2zfdEk6uh/1dvYmxW/HUnRWew7UdPTCwN6PtFM3T1y+65FBMTwx9//IGVlRUfffQRenrF28oOHj6D99oFpFeuhVE66KTfo9p7Yxnwcfdi5XNycli3bh0xMTF06NCBI0eOUKdOHfr371/usUDlwbO4+LYDKgEdgZ6AOVADeCe/XzvAqZzn+Z9j4ZZDjFu1pUxuuQA+/tf5/Y8l6CgVDBxYutHsoS3C18eXWJ9YZraYWaICATDSNWJJ+yWY5Zpx7N9j2FaxpUePHloXSI0QTPQN4V5GFqvrO5WoQCAveGrgwIGkpKRw5swZ6tatS9u2pbs4dunSherVHbl6/jQKoWHgoEElKhCAto1r49K8PcY5SYTevsC4djXKpEBSU1M5ePAgycna05V3tzHncyc7tkYlsvrqMa3yDzl67iJfKExoGBXG4r7dSv1jn1C9Mr0qm/NLSCw3pLzsAOWlQCDv7fBhjqYjR44gSRLu7u6lxoRUr16d7t27ExgYWCbbTEHUvKEhl27eQqlRM3LiZK0KRAjB9SMPuH9DexVFe2tz+g0YiFKoiTh3hLbOZszqXldrP5Uqh7+WbiUpPZaunzYqUYEAmNsa8d7I+iREpHF8vU+ZU/9nZmayefPmgje5khQIQNf32mLavh8mMf7opPujV6tLiQoE8t4OH+arO3z4MJUrV6ZXr16vpAIpjRJnK4RYT94bx2BgALBSCLEB2A7ECCE2CCFuv5hpvppsOnSORRZW7KztypQ/tZegTElN4q/taxEaXa5VOkCGSvtL3NGs+zwwfkCDxAZoQkr3LQcwV5jTPq49OVIOXg5eKMpQUvWX4CgOxiUzp2ZV2lpqD/jLMbDggsaFILUlvnp1tN70CoWCG7p1CFGb07R9V5q5Fl8s6nE+7N4WE8cGuCpjecciVfuc8rdmLl++XLBFo42p8YfpHnuauWmWnPIu6jDwJAGBwYxL0aCXm0N/dQq6WiLxJUni/XB/rNOSOFm/OVnW5VsbBB4t8q6urgwcOBBLS+3bP02bNqVjx460atWqTLYZPR0dTGJC0ctIxd3dHTML7WPcPhnGxZ33ObLmTplsEfXs7LHJrI++TjpuiX6UJbRj/YqtxKgCSLPxQWmi3b5Vvb4Vrfq4cP96LJ4HgrXKP0xpkpSUxMCBAzEz0542pcObXdAxaIlk8xbj5o7VKm9qaoq7uzu1a9dm0KBBZQoKfdXQtsKMAxYC3wghfspvswKmV+is/gN4+tznu2w1lslJNA64x46aLizbcaTUPvNWfoGxyposiwDuGSfyxfZe5OaWfPPv9rnE9pBF3LVMJV1pgte5I1zxKTk+QK1Ws337drLTs6nToQ5n486y5PqSEuUB9sUksTA4mkF2lox00J5jJyUrh5EbPInRscG64TusuxzGlqshpfZZceo+++4k8GbHD+jbruQ3qSf5bEQfateuzeHDh0qNi3jcNtOyZUsiIyPZu3dv6U+bDy6iODCNpdnnqZMdyZhIBYERJbuCZqRn4H7zHpl6+kxJDiciwF9rvYhbt27heeECXyizqKSny4degWUu4vU0mJiY4O7ujpOTU5n7tGnThvfee0+726wQHPp9MakPAnEfPJia9bRvMYXeTeD89gAcG1qVyRaRq1JzcOVtDLOtcbJuSEJWKNvWHSh1jL0exwhPuoe9RQ10lAo2b95cojvy4zR+txquLey4si+IwBulJ+c8evQogYGBvP/++1Svrv0BLj48jRMb7uJQrwuTFpUtbgagatWqDB48GAuL8i/c9SIoVYkIITRCiINCiOOPtYUIIS5X/NReXRKSU5l43ZdsXT0WONiwoU8nHKKjWGRQiRNXvIrt8/2KSRim26MyiWDBJA/6K5tx3SCLWRv6FivvGxPG7Eufo9CYsrHXMsZ8NBy1pMOObVuIiCu+psGRI0cKbvoP3/6Qga4D+evOX+y7v69Yee/UDCb5huBmasRPrg5aFxS1RjDZ4wYh8RmsGNKUn/o2pE0ta2bt9sYzuPjYi4eJ/Ho2tmfsO0+Xv+hhXISlpWWpcREXL17k9u3btGvXji5dutCxY0e8vb1LjotICoWtw8C8Osb9VvFXk7roCA0jbgeQklZ0DLVazZDdhwm1sGFqUgQTBvbTWi8iLCyMvXv34uTkxOD3OrO2gTPhWTmMKUMRr1eJyzu34H/pHG2GfIhz42Za5ZNjMzi82hsLOyM6f1Kf7uMaoVELDvzuRU520S1fIUR+TYxU3v2oHsPH98bK0AHfB56cO1K87fLaOW+u3z2Pqa4tH48fQv/+/YmLi2Pnzp1ag/4kSaLdUFcqO5lydJ0P8eHFx/PcvHmTS5cu0bx5c5o2bar1ujPTVOxfcRt9g/xocd0XEy3+KvDf2nx7BVCr1Xy4+QDBVeyZnJZM51aNqWxlzm8Na6FU5zItOIKQyMJPOOt2LEIVY066fjSzx+e9Gcx0X0vrbHP26wTx+66ZheRTszMZ/u94NFIGP7ZeSE0rO1yq2vDu+73R02SzeM3fRQK0bty4weXLl2nRogVNmjQBYEbzGbjZujHnwhy84wrXpIhT5fKhdxDmujqsbeCMfhn2YRcc9uOkXyxzetSnZQ0rlDoKlrk3paq5IWM3XiMiqfDT5r3oVKZsuUkDe7MyBYsVh7a4iICAAI4ePVrINlNqXIQqAzYPhtxscN8MhhY42tVkjYOSIF0bxp09hvqJqoiztuzmor0zXcPuM7Vfj0K2iOLqRTwZN6Ojo8ObZsb86OrA6cRUvrtfchGvV4mAq5c4v3Ujddu0x+393lrlVVm5HPjdCyTo9mkj9AyUmNsa0bkUW8SNoyH4X4mmRQ9najS2QaFQ8PH4IehLphw/f5D7voXfcsOCoth/dA+6GPHJp0NRKnWoUaMGXbp0wd/fn5MnT2qdp1JXh25jG6JnoMOB32+TmVZ46zM0NJR9+/bh7OzMe++9p/V8arWGw6u9yUhWabXN/C8iK5GnZNIfO7hS25XeAfeYMuBR0rUWDWvxlQ7EWFrx8YEzZKvytqnOeR7B/04M2co0xg+bioFBns+7QkeHn4fswzVbwdqkfRy9lBdwpdFo6L/tc7J0Ahle80u6uT56+nvXrR7VGucHaK3eXND+MFisRo0adO7cuaBdV6HLr+1+xcbIhsknJhObkafcVBoNI72DiFPl8lcDZyrra/ey2XMznJWn7zOkRXWGtnxk0zAz0uWPEW5k5WgY/bcnmaq8p82kDBUjN+QHiw1vhsFzPJk9HhfxeIBWXFwc27ZtK2KQlCSJHj16FMRFxMbmK3UhYM94iPKCvn+CzSO357frvcV3BmEcM6jFj6d2FrRvOniUdbbOuMaEs8a9Z0H74/UiNm/eXFAvoqS4GYDBVawY6WDNqrBYNkeWnlLkZRMXEsyBZb9iV7MWnUZPKFO0+NG1PiRGZdBlVAPMbB7FdjjWt6JV76K2iAfe8VzcdZ+aTSvTEqMFzAAAIABJREFUrKtTQbtxJUOGfzQEibxtquSEPJtYemomf6/fhEDg7j4Is8fsdw/fGM6ePVumIl7G5vp0HduQ9CQVh9d4F6RGKSlupjTObb1HuH8S7YfVwdapZIeR/1VkJfIULN12mJ0uLrzp78dvI/sVOT6ie1uGhTzAu0ZNRv25nfDoB+w9dABJSHRq3wYnh1qF5E2MzfnhvfWYaAQ/3vmWgBBvJh34jXD1GRpX6s8XbQcUGWN0745QuRbEBrBq5zGSk5PZvPn/2Tvv6Kiqrg8/dyYz6T2kUhISQhKS0AJSVIogTQEFFVEEQUFAxQKooK8VEVFURBGwICgqIEWQjogg0ksaIT0hCQnpmclk+vn+CC0mU1BA3u/1WeuuLO7sO+fMZebue8/e+7e/x8PDg5EjRzb60vs4+fBRn49QGVQ8s+cZdCYdL2cUcrC6lgVRLengYVuuIrGgiplrE+ka5sOrdzdeE4/wd+ejUR1IKaph5o+JGExmnlx1gnNVWpaM6UyQ599vyXmxLuJigZZWq+W7775DLpc3GZC8skHQpar5fe9Dyjro9ypE3tlojHHdhzLGcIaPZZGsP7qNY4nJzJZ54KNRsbpP10aZdBf7RVzZxGvz5s0W62YAXgsP4TZvN2aeKeBotW3ByX+COlUNG+a/idLZmaHTZ6NQ2r6zPrQpm9zEMm69L4LmUY0D7x36tyDyloD6WMTJUiqLa9nxRQp+zd24Y2x0IycV0iqAuwYMx0AdXyxeidFg5ItPvkUnVPS7dRCtoxpWyUuSxODBgy818Soqsv20FxjmSe+H21J4porf12Q2qJsZNWpUo7qZpkjZV0jy3kI69G9J21v+O4oDrzU2peAlSYqkPpDeCrj0KxJC9L2+U7s+/NU6kR+3bGMGnvhXlrN58O34eVu+43hg8XfsjYrmjqRdRFSoCG7ryKQHZ1m033bgW14+M5dmRgVnFWZ8pQ7sfvhLHCzcBekNRl5+bzGO2go8vTzQ19Xx2GOP4e/vb3GMXXm7ePbXZ4kMncbv5gSmtvTnlXDbabPF1RqGffI7DjI5Pz3ZE183yxeUT/ZkMn/7GWKCPEg9V8O7I+O5P+HqJTEsIYRgw4YNnDp1ioCAAEpLS3nkkUesBpTz8/NZvnw5oc3ceKjkTeRxI+DeZWDhzlqv13H/7i2cUATjWqej1tGJ1c0cuaVje4tjJCYmsm7dOgIDAykuLrZZN1NhMDLoaDp1ZjPbEyIJcrSt0XWjMBmNrJv7HwrTUrn/1XcIjrQtzZJxtIQdn6cQ3TOIPg9HWXxqMepNrH//OBXFGlw8lBi0Rka+mICHr+WbjE3f7+ZY2j4c8UBHDTGtErj/0bss2qvVapYurW95MXHiRNzcbAto7l+bwcld+bh0OEd+cabVupkrKcqoYuMHJ2ge7c2Qqe2RXWO14JuNvyMFvwY4DrxMvTO5uP3PUFFZyX/03siEnA/btbbqQAC+HHsPYcV5/NquDyovo1UHAjCwx0MM9RrJybAPMHs+wtoRH1t0IABKhQPPPj6GNm0PEt32S27v382qAwHo16ofw9uO56CpA+3k+cxqbVv4T6WrY+iPD1Pru4CPR8dYdSAAU3qHc3f7YFLP1fBoz9Br6kDgcl1ESEgIJSUlDBo0yGZGUsuWLRnYrjXZJTX8VHUXDP3YogMBUCodWdqlK846HZWu7rxeW2TVgQDEx8fTo0cPiouL7aqb8VE48HV8GLUmM+OScqi7xiqzf4e9K78gPzmR/hOfssuBlOar+OXr0wS29qTXqLZWl70clHIGPRGP0kmOulzLwIlxVh0IwN2j7iDEqw06amjm2pKRYwdbtXdzc2PUqFFoNBp++OGHS90ErdHjnnAcwyrIL84kIb67XQ6kpryObUuT8GjmzJ0T2v2/dyDWsMeJGIUQi4UQh4UQxy5u131mNxE+3t7clX2ckX9o+WPzVpv2m7e/z+1ZKbhr1OwI609BoXX5cZXRxM7gB5BkHlR43cHPibaDg7raHwgJTEfpqCX//Fuo66y3Ts2ozOP7ugQCKOZpw2wOZDRqUNaAi7GZOnkGMqciVmbNwyxsZ77MHxnP548kMHuw7WKxv4JCoeChhx7i4YcfpkuXLjbtTedy8Zk3hzbp6ZzyCufAiu9sHnP4828YkvgHr/y6hHHln9QH4W3Qr18/HnzwQe655x67isWiXJ35NKYVp1R1TD9z1u7it+tJ0i87OLFtE52HDKNdr8bdCf+MpkbPlsWJOLkpGDgpFrnC9ud283ZkxIzO3DO9E8Ft7Cu8HDvlfvp2H8KEJx+y69wGBwczfPhwzp49y5YtW2ye26zsLArrUnAVAZT84YyqwnqqsEFnYutn9T3NB0+Ou+GquTcb9jiRTZIkTZEkKUiSJJ+L23Wf2U3GvOcmE+B8GGVBR75dZrn24vCRH0lKrANZMV8FOaN2dGLcb8fRNKFkC/XV4lNT88iu0/F9+3D6aTN4uS6EA6cPWByjrGwPWVnz8fcfgsznHZo55fPjnikW0xtr9GrGJKZiQs6S6CC0ZjPV+fPJOP+7xTEuxmbau41kesLz7MrfxZJTSyzaX8RJIadfTECD/tfXGhcXFyIiImzaCZ2WwkdHYFQLhj00kKC6Onbl5pD5yy8Wjzm66juOauvorFHzxH39oeAw/PxcfVDeCjKZjLZt21qtaP4zA/w8eTEskB9LKvn0rPWahetNYVoquz7/lFbxHbn9ofE27U1GM9uWJqFVGxh8lRlJHn7OBLa2v9+5Uqng9gFdGrWStUZsbCy33XabzSZeZWVlrF27lsDAQB6ZMAqzQbBlcSIGfdMKFELUy82XFajpP6Ed3oE3v8ru9caeX/pY6pevDgDHLmw3Z3/Z68zU56ei8kyn/Hg0v+1Y3ej1osIU1m07iElm4IlRY+ie0JX5ch3JgSFM+3Fbkxf5eTnF7Civ4Y2IEG739eTT2/oRZijlsbMG8ouzGtnX1maSnPIM7m4xxETP446OIyiTxtHc6Xd++HVuI3uT2cT4IzvIMwXwQZigS1BnunRcjkDi5KnHqdIUNzpm2ZFt/Fr2BT50YvnwlxkTM4ah4UP59NSn7MqzXyLkn+b80yOpzdUQ+NhduA15hAenTcNFb2Dtzp2UZzU+t3l//MHW1BSaaeoY+dJLyOJGwO0z4MQ3cMi2A/0rTGsVwFB/L97KKmJ3+T8jQ1dTVspPC97G09+fu6a9gMxGRpIQgt9+SOdcZjV9x0bTrKVtlYN/gj59+lxq4pWdnd3o9bq6ugbJGQEtvek/oR1lBWp+WXG6ySeYY1tzyTp+nu73hBMaZ7s4938Bm05ECBHWxHZtut7/l6F0cmb8MwPQKis5sklJdtrlVT2tVsXClYtRmJwY2DuGsNb1Sy339e/F5PP5bAoJ46P1DZfCNpRU8lFeCQ8H+TI+pP4L6eHmzdfxEZgkOeNOnKZWc/nCYjBUcypxEjKZI/HxnyGX168nP9B7FgXanviJr9h1fF2DMV49tZn9+tY85VfIsNCeALT264Jf2Gw8ZTo2/zEco+lynvyBvDQWJv0HhSmINSMW4iCXI0kS/+n+H+L94pm1fxbplenX8KxeH6o+nEnF3iy8b2+N13PvAeARHMyokSMwyuWsWrIUneqynEp1QQGrN25EaTTx4OQnUF7MzOk9C9oOge2zIPvXaz5PSZL4IKoF7dycmZyaS6bGdtX1tcSg07Lxvbcw6nUMm/4KTnYEopP3FpK6r4hOA1vRJuHaS7lcKy4Wq/r5+bFmzRoqKi4XxJrNZn788UcqKysbaJqFxvnRfXg4mUfPc2xbw34+2SdLOfRTDpG3BNCxv+0K9v8VLDoRSZL6Xvh7b1ObrTeWJOlLSZLOS5KUfMU+H0mSdkqSlHHhr/eF/ZIkSQslScqUJClRkqROVxwz9oJ9hiRJY6/Y31mSpKQLxyy8UT1O/IPCGPiwHzKTktXLklFX1+f7v7tkJk5aP8KjBL1uG9vgmJdHDqFPYS7zvYLY+ttBABJVGp5Ny+cWT1fejgxpEJBsHdyGJUFm0hyDeHrvNswmE2azkeSUaWi1hcTHfYqT0+XMKplMxog+n1KqbYmu7BVS8+t7rn+X9SufV7Wiv1MWL8Y2FILrHj4OjdfdBEmlrD04BoBiVSVTdj0FSHzWfxH+bpeXHBzljnzY50PcFe48/cvTVGr/Xm+G64lm+yqKl/6Ea6gLAR831DRr3qULQ+LjKXdxZs28eZjNZoxaLd99/DFahYL7Bg3EJ+yKrokyGdy7BPwiYfVYqGh8R/t3cZXLWR4XhkKSMTYxh+rrII3SFEIItn+2kPO52Qx5eia+djSXKjhTyf7VGYTG+dJt6M1/L3mxQZoQokE3wV27dpGZmcngwYNp1aqhllvHO1vSpksAh37KJiexvjNneaGaXV+l4t/KnT4PWc5A+1/EmhT860KIVyVJ+qqJl4UQwurCqSRJtwNqYIUQIvbCvneBCiHEO5IkvQh4CyFekCRpMPUy84OBW4CPhBC3XIi9HAUSAEH9UlpnIUSlJEmHgaeBQ9QLRS4UQtiMel8rKfhNaz4nb3commYpeLYp5Fy2Cwrf88x+6tMm7VU1KgZu+50SV3eWhwfwdIUOCdiWEEkzC0J+S/at51VjGDPIYGjzDPLPfkFU2zmEhDTdxyHvfDYnjt+L3uyMf8wCxuZItJKVs7VHX1wVjbNgzGYzq/YNJsiUgc73EeaezKBSJPFc7HzGJzSuowBILktm7NaxtPdvz5L+S1DIbq6goiH9JDkPjEKmkAjbuBV5UGiTdlvnz+dQbS09PT2prK4mFRgUFsYtY8c2aU9FNizrC24BMGEnOF37orKDVWruO5nFrd5ufBPfGvl1vlAdWr+a/d+v4NYHx3LL8Pts2teU1bFm7lGc3RWMfCEBpbP9bVv/abKysvjmm29o27YtUVFRbNiwgS5dujBkSNMqu0a9iXXvHaeqRMNdT7Zn99epGPVm7nupC27e/1sV6Re56hRfIcSrF/4+2sRmM/ImhPgN+LOg0jDgYjPir4HhV+xfIeo5CHhJkhQEDAB2CiEqhBCVwE5g4IXXPIQQB0W9F1xxxXvdEO6+7zEc2p7Az+xIXWUVOudSZk5aYNHe3cOdr7tEIxOCkefUVOgNLI8Ls+hAACb2HMb9+jPMpw0/nk2mecgYiw4EoJV/awJDP0Cm1PNUdg0uaPmmU8cmHQjUP8Hc1+NHSsweSKUrcFOc4A7/xy06EIBYv1he6/EaR4qPMG/7ZIt2f0YIM8XFP6HXN91zvUlKUiDbusjhlZhVlRQ8PgZhgBYff2jRgQAMeP55wvR6fr/gQDoqFJYdCIBPa7hvOZRlwPpJYEOj6a/QzcuNtyND2FOhYsZOy4kVf8ZsFqQfLkZba3+nxqxjh9n/w0qievai67DGhbN/pl7SJBEhRL2kyX+RAwEIDw+/1MRrw4YNhIaGMnDgQIv2Dko5gyfH4eAoZ/37x1FX6Rj0RNz/rAOxxo2uWA8QQlzMdy0GLi6ohgBnr7AruLDP2v6CJvY3iSRJEyVJOipJ0tFLEhjXgLvv7k/wbR8TG7ubEVFxKJROVu1bt2rBy2nl+OrMPH8ol2gbfaMlmYyHFEbCzeksFk+Tc9Z2K9LOkb1Z6PABlfhwl1ZDS3frBYWOCldkHp+gNsmZ1EzinT6270jvDr6VR3Uyfjh/iDU7nrVpD5CT+wkpqc9y8tRjmEx2rPuXZ8FXg2HlPXbFIoTZzLnHhqItMRA8czyOt1jXPJLJZDwwcyb+dXWE6fXcNXOm7Tm17g0D58KZLbBnjm37v8BIuZEeWVWsUriycONOu445tDGLnV+msuXTRExG286tvCCfLR/PJyAsnDsnPWWXpMnu5aepKKrlzsfa4RVgu5L7ZqRbt2506dKFZs2a2SVp4ubtxOAn4nDxUNL34airyij7X+Ifkz258ARxQ5LjhRBLhRAJQogEe/qM20NtdQUnUychyUzI1cHUOH9MwSnLqYQAZ77cSd8yH77flcU9lb4kzV5u1b4wM4nK2jeZqv4QhVbPtFpHstIty5UD/CezkHThwe1aR9bsFaw9VmDVPrmwmtc2VbOr6DU8FZCS+iRms5W6CLMJ1k5gWnEht5qVvF20k2OnvrZsD5wv3U5Ozod4enZCpUoiLW2W9dx9bU29SKIkgW+4XbGIilfGU3OqjGbDE3B/xA6HADh5efHE3LmMfftt5Ao7l+W6ToSOY2Dfe5C8zrb9VWDS69j23nbuOKalTamaea5+7Dpw2Oox6YeLOb49n6AIT85lVfPb9+lWz22dWsWG+W/ioHRk2PSXUThav/EBOPJzvVRJz5FtaBnje9Wf62ZBkiSGDBnClClTGmiaWSOwtSfj5vWkbTfbxbn/q9xoJ1JyYSmKC38vtj0rBK6M6jW/sM/a/uZN7L8hmEwm9ux6BEfXMvwcphPb7nMkk5Ks/GnUFDdOmQXI33kM1wwnKhVlxMy9h1JtGs0cYkh5t+kLsEZVxYnjjyBTmugQ8DLzhAq1iyujj6ZRq266sPCbonK+KizjiRbN+HpALD3CfZm1Lonj+U0HwUtVOh5fcRQfFyVz7htBTMy7VFcf58yZ1yxfiHb+B7J2Ix/yHvPu3UBzs4znjs+nqKjpOJNafYbU1Ol4eLSnY4dvaB32LMUlG8nPX9b0+5vNsG5i/bLRfV/D6B/qncl3o0HXdHMq9aoPOP/jQTxiffF9e0XT72uBq+4iJ0kw5H1ocQtsmALnTl3d8VbY//63FKla0O8OHd/3DMdDa2RylYzsnNwm7c/n1fDLyjSCIjwZ9kxHOg1sRer+IpL3Nv1TMJtMbP5wHqqyUoY+Pxt3X9spqlnHz3Pk51yiugcS37e5Tfv/Bq42KP5vEN06Nn9BkiQdkyRp6sVMqr/JT9TXnXDh78Yr9j9yIUurG1B9YdlrO3CnJEneF8a/E9h+4bUaSZK6XcjKeuSK97ru/LLxGZy9TyNVD6Vz38doFtGWFq5zMTqXcWr/JAx/kiuvOHMW484KNKiIeK4fcoUDsW+OolJbgGtZC/L+1MzKZDKxc91InP1qcKx7jJhugxlx1xAmnk0jL6gFD3/XuD/IoSo1L6UX0MfHnVfCg1HIZXwyuhOBnk5MWnmM4uqGS0g6o4nJ3xyjUqNn6SMJ+Lk5EuA/mNDQqRSdW01BQRMX45PfwR+L6u/GO4/Dw7MFC/suxABM2z4BjaZhvEOvr+BU4iTkcjfi4xYjlzsSGjoVf//BZGa9S1lZE5X5e96C9K0w8B1o3euKWEQ6rGsci9Ad3U3h3CU4NnMg6IuNSDeitaiDIzzwDbj41Ds3te0WsLZIXrGa5LxQOkbm03bkMEJCgvgyWIHOQcaDJ4pQ/+nGobZax5bFSTi7Kxg4MQ65g4xuQ1sTGufLvtUZFKQ17u+y95svyU86yR2PTSGkrW1FgbICFbuWpxIQ5kHv0f9mJP1L09jzi3sACAaOSJL0vSRJA+xJp5Uk6TvgD6CtJEkFkiRNAN4B+kuSlAH0u/BvqM+uygYygWXUd1RECFEBvAkcubC9cWEfF2w+v3BMFmBbj+QacGTnYmReW9BWxNJ72HuX9kfcPhAf1VT0Pskc3XBZWkxbpeL8lycB8H80Hmfv+sIshbs7LSZ1QW/SoD9goDLpct+L7asm49Yih7qzPek1/IVL+18dP4beGcn8ERHNC8suX+QLtHrGJ+fSwknJ4phWl7J6vF2VfD42AY3OyKSVR9Ea6qtwhRC8ujGFo3mVzB/ZntiQy2u9rcOewc+vHxmZc6iouKKiveAobJoGobfBgLcv7Q4L7c28dhM5I5l4Zd09iAsXebPZQFLyk+j1JcTHf4ajY334S5IkYqLn4eYWTXLKM9TWXlH0l/xjvdJup0eg6+OX97fufSEW8TP8enlsU0keBVOfQpJDi2VfI/O8gUstbv4wahVoyuGHMWC03Y7XEoW//ca+A1608s6j29MPX9rfvVMHXjdWkeftwrjNhzCb6v//TAYz25YkodPUV4u7eNRXyUsyif7j2+Hl78y2ZclUl15WSUjes5PjWzbScdDdxPWxnDhxkTqVni2fJuHoomDQE3F2SZr8y/8oQgi7NuodzlDql43ygdcBH3uPv1m2zp07i79K9qk9Yvv2SLFpYzehUVU2aXPguyli1+7W4sT6RcJkMIrEl9eJvJm/itwdR5q0z1+/S+TM2C2Spn0ntFU1Yv+mhWLnztZiw4rbhdFobGSv1daJnis2iKCdR8WKteuF2mgUdxxOExF7T4l0dV2TY2xPPidavbBZTPvuuDCbzWL57zmi1QubxbvbTjdpbzCoxB8HB4hf93YUtbW5QlQXCTE/UogP4oSoLW/ymC83jRexy2PFZxseFkIIkZb2qti1u7UoKlrXpL1GUyD2/pYgDvxxh9Drq4UoPCHEmwFCfDFACIOu8QFmsxAbpgrxqocQST8Ks04r8gZ1FqnRbUXt5uVNjnFDSFpbP6eNT9XP8SqpzsoQn0/eIL556juhrWj63D77/TYR8MsJ8fLqrcJsNotdX6eKRZN2i4yjJU3aV5bUimXP7hWrXj8odHUGUXgmVXwwephY/cYsYWriO/VnjEaTWPfeMbF46h5RnFN91Z/pX/5/AhwVTVxTbUrBA0iSFA88Sn0dx3bgW+BWYIwQosN18W7Xib9aJ1JRmMPBk/ciyQx0il5NQGhMk3YGbR0Hf74fvWc63klP4V/SHlW4hujHLWcLpb63Eo+yUArkv1Nz6xfoa53pdcdu3L2bTgIoyMvhzuPZ1Dk60dndmd+NMlbGt6afr+XahY93Z/D+znTu7RjCxlNF9GnbjKVjEiyqj2o0eRw5ei+OSj8SknU4lKTDYzshoOke28JsZtZ3d7DZWMaHYQlg/I2WLSbQpo1lBePKqiOcODEGH4/OtN97HAkZTPwV3CwkPxh18PXdcC6RkpxoKn4vJvCxQXhPt5xafUPY9TrsXwCD32v4BGUDg6qGH1/ZjErnwX3TwvGKanqJyWQwMmzdPo75eTEjT4XjYSMJg0O5xUqx39nUCjZ9fJKQSAVFp5egdHJm9Jz3cXa3Xd+yd9UZkn8rpN+jMf+zPTL+pTF/WQpekqRjwAfULyfFCyGeFkIcEkK8T/0S1P97dJpa9v8xDoWjmlbeb1l0IAAKJ2fiuy9BrvWiJupLzntm0nZCf6vvHzN9DCWcwNBtEzKhJDbmc4sOBKB5qzAW+yowy+TsN8qYGehu1YEAPNk3gkdDof3+ozysLOKDBzpYla92cWlFbMxHqNVZbFOoMQ1bbNGBQH068qv3ruMurQKz7jccpAgiIl6waA/g7dWFthGzKa8+SGYzNTy4yrIDgUuxiINGf47eeh5Fn+b/vAMB6PsKRA6CrS9Azm92HSLMZna/u5YKbTMG3Otk0YEAyBUOrLyzA0EqHR+FuOHc3oWud4VZtAdoEeNDt7uDyTqyHJ1azbAZL9vlQI6se5kqptOhr/N1cyA5OR+TnDwNs9m+JUCVOo1jx0ZRXX3iusznRlFY+D0nT43HaGw6QeTPaLVFHDs+mrIyy4KhNwP2LHTeJ4S4QwixSgjRIGIshLApf/L/AQelI2haUH4iAWOt7ZRInV5L/q4wjDINpTGrMOiaVvC9iMlkpKz7b+idz9MicRpembaLxnrdfjuvl+XQ58AWXN9/99J6uSUMNdVEnq5GbWhN85IAjDnWU4UB9n+4ncID/ji3qGTLse9t2qsqz9K7RS16lZLfV5koKTht/QAhCDlxmJCiOvJDlJyz454kbf9aVD00OLXSktm/GoP+JugOKJPBvUvBr019OnJlrs1Dji7+lqzSULp3LqVl/3427b29vfk2xhdH9HwRWoVKU2XVXpjNnNvzMsJUgsxpCNUnbLeMzdz7OdUeP+AWmIqz2xOYjddex6vo3Fqycz6k5Pxm0jPetGmv11eQmDiJquojJCY9gVZrva3CzUp5+T7SzrxCefleUlKfR9hoq2Ay1ZGY9ARVVYdITpmGWn3Gqv0/iT1OpFaSpC8kSdoKIElSzIUg+f8McgcH7nr4axTGSHZ/8RkFpy3/IDXVVWyY/yZ1eid8nGfh4J7Nvp1PW5RpB9i//WUc3E/gbnoS52I/VHtV1CXbvqCOe/hBHtBoUKkKWf/SbIt2wmhi1/x1VOqa0bdXJXLJxJbFiegqLFePH/ryczIzTqLPa4f6bBtcWhxmz4+Wf/RaTSVHD49FkpmR6e/GQeXI0rnPoq2zokx7eBkcX0Fk0ES8vG4h7cwsqmssp8yWnD5AruFDjLUOONcNReFVzt6fH7J6bm8YTh71gXZhvpCObLm/S/bmLRxOCqFtUC4dJlhWIPgz0ZFtWN7STJ7Sj8n7dmMyWdbYOvLxc6Tla+mR0JJgb0d2bZUoO2n5Tr40/QDZmoWYan0Ik/pQ6aQmc8+1FYGorj5OWtoreHv3oGWLCRQWrqKgcJVF+8vJGeeJiZ5/6cJqV7HqTYRGk0NyytO4uUUSET6TsrLdZGdbfoIWQnD69IuoVKlEtZ2Dg9ydU4kT0esbZ9zdDNjjRJZTHwe5WPqcDjxzvSZ0syKTyRny9Aw8/QP4acFcakobp3WajAZ+WjCXuupqhk9/mU63P4KjYRyS268c3P1+k+97/PevMTqtQdIMoeuAafhNqO+iV/r5SQx2SIMPfeN1vDxbkJuXzP7FnzRpc/jTb8kpC6Vn1zKiHxzBwNF+1Oh92DF/E+YmOr/l7tvL/h1bUDh48tC8Odw5Yg2a814Y3b4m8cCGRvZms5m92+5H4V5DsM8MBo16l6BezXEtd2Thm6Obnnj2Xtj2IkQOQtbnP8TFLkKp9CcpcTI6XeNzq60u49jJiciUZiJ9XqbHkA+Q1fZE8kzi8G7rnSNvGL7hcN9XUHraojRKeeIpdv0s8HcppPeMUVedktwjugdvORey2ymCub82XeyYvXkp+w5kENnf7oEdAAAgAElEQVRcSbfnFzHouT44yuvY8nkmdSWN65i0VSUcT5kBkpn24XNo3edzWhjbcFaeQdHB6Vc1P0todcUkJk3ByTGQuNiFRES8gK9vb9LTX6ey8lCTx6RnvElV1SGio94hKOhe2rX7AJUqhdNpL90UTbzswWhUcSrxCSRJTnzcZ7RsOZHg4AfIzVtMcUnjVH2AvLwllJzfTHjr6YSEjCIufjF6/XmSkp/EbLZf2uZGYc832E8IsRowAwghjID1tZP/pzi5ujF85iuYjUY2vPcWBm3DO6JfvlpCYVoKd06eRkDr+qZJPfrPxqzqiUa2hNTjmxvY56T9QbnmbYyqGG4bMB8Al7hw3Hu5Iyl9KH77Z8xG66daJpfz0Lw5KBXeHPp1F5m7GtacZG7YxNHU5kSF5BI/7gEAgm+9ldtvrSa/shUHP/qmgX1NUQEbFi9BQsaI56fh4uePs5s7Cd2+xahTUFj2Eudy0xoc8/u2qTh4ZeOoH0Rs14kAjJm8BHMbCXkWfL3osYaTrsiBNWPrl3/uXQoyGUqlD/HxSzCaVCQmTcZkurxyajKZ2LNmCI4BdXiVDyW8V30abK/BX2Koao5aWkPa8W+tnqcbRnhfuHMOpG2GvfMavKQ9X8KWZWdQyHQMfrYXDi5/TT5kXI9hPGI4wyJZJOuObGvwWnnSPn7+dj3N3EwMfHUZkkyGa0gLBo1tgcbozrb3tmPSXz63ZpOJfdvGI3cvobn8MQJj65fWIvpuwEfrSpp6HdXpDb8jV4vJpCUx8QlMJg3x8UtQKLyRJDmx7T7E2bklSclPUlfXUFmhoHAVhYXf0rLl4wQGDgOgmd8dhLd+jpKSn8jPt96Z82ZACBPJKc9SV5dLXOwinJ1bIEkSbSNfw9MzgdOnX6RG1XBVo6zsF7Ky3yMg4G5atZoEgKdHe6Lavk1V1SEyMq6P3M7fwd7lLF8uSJRcLAa8rrO6ifEJbs6Qp2dQmpfDtsUfXrojOrljC4m7ttFl2Eiie/a6ZC+Tybit/yeYNC0pKH2Rc3n1X5rKsgLSs5/ErPei+23LUCguC7t5De2JMqgKSdGc4ncaSpk3hZO3D/e/OB1JcmDTF19SlVO/FFZ64ji7t8sJdC2g9/QHG9z1tnv4PmJDczmR0ZIza+qfLox6Hd/OehWTSU3f4fcS0uly+9mg0CiCvd/CwcnA0YMPodXUBweTDn6KznEHpqo29BywsMG8pr38PbV+ekr2n2PPzx/U79Sp6iVNhKhf/rlCDdfdLYqYmPeoqTnJmTMvXzq3v31xH8rWZYiMtnQdfXkZQCZ34LZ+azDWupJX/AbnC47bPFc3hG6TocNDsPcdSK2vga2XNNlKrcGDQY8E49ri7/WjeKv3cLppc3iu2puTWfWfW1tWyMb35iCXCYbPnofC43LdTECXrvTtp6NI1YL97192uAfWTkLmn4ZLRX9i+l9eYJA5OBF760acDDISc15FW/rXgtpCCE6nvYRKlUS7mPdxc4u89JqDgzvt45cihIHEpEmYTBoAKisPk57+Or6+vYgIn9Hg/Vq1moy//xAys+Y3Xax6E5GVvYDy8j1EtnkFb+9ul/bLZEri4z5BofAmMXESuguipPUN557F3T2G6Ki5DYo7g4LuoWWLCRQUrqSw0HZ88kZijxN5jvqK8nBJkn6nXjH3qes6q5ucsI4J3D56HOkH93No/WrOpiaxZ/kSWnfqwq2jxjSyd3Jxp1PCMjA71AfLyos4fOAxZA4aYqI+wcOncRZMs2lDQSrArA6ifIVtIb6A2Pbc+cADmM0aVr32JjX5uWz9IgtHeR0Dn+uL3Lmxku+tzz1EiMdZ9ux2ouTIIdbMfAlNXQkxsV3oMKrxMlT720Ygr34IF/8qtq+5n4LMvZyr+gBDjRe3D/qhkYSI0smVJ2YvROds5I/vd5CVugfWPwGlafXLPr7hjcbwbzaAsLBpnCtex9mzX3FizX8wtT6FLtebPuMbL6W5evjTvsNSJElw7Oh46mrLbZ6r644kwV0fQPMu9Z+3OJnfP/iWwpqW9O5TR+At3Wy/hw2USkeWdeuOr0nFo5mVnCvN5+fXnqBaJ2Po4+PwaN2+0TGRI4fRMTKf5LxQkleuJmnrO+ia7UGUxNJtxKJG9gqPMOLbLcIkEyQeeRDTX+ghk5+/lJKSn2gd9izNmjXOUnRxCSO23Ueo1emkps6krq6ApOSpODu3pF3Mh0hSQ5HEi8Wq7m4xF4pVM696TjeC4uKfyMv7jODgUYSEPNTodaXSj/bxSzAYqkhKmoJOX8apxInI5U7Ex11uOHclEREv4ONzG2fSX6Oq6uZpLmtvnYgD0BaQgDNCiJtvYc5OrlU/ESEEWz9ZwOl9e3B0ccXVy5vRc97H0cWysFtm8h5yiydhNjohV9bSzOVt4rs9YNHepNFSNOsncPDB+54A3HrG2ZzXznnzSDy+D6VjOxQufbh3gg/+XbpatK8rKWHNW7+h1pylTv0Lfr5hjP30Y6tjbFp+Py4tj2HSOSDMEgmdfsQ3yHL678lDq9n20XL0LgaeCTmGx8C3oPsUi/ZCmElKforS0u2Y9BLGGgW9em/H1d9y06TUI19RVP0WpppW9B+2A5ncPqlyne48MpkTCsW17w+CqhiW9iG1ojN7ysfTPiKPW6c/ek2HSM45xd1ZdTSvKuSuH1cwqF888RMsJ0CYjUa2vLKSEhO0vGM+5lpfevdfj6O7ZR2t0pPzSCxfQoA+kHYD9tsdxykr28OpxMfx9x9EbLuFVmVT8vKXkZn5Dg4OnoCZhM7rcHW1XAej1RZx+MhwHBzc6ZKwDoXi+ins1tZm4+ISiiTZ97lrapI4dvwBPNzj6dhxBTKZ0qJtSclmklOm4eDgicmkoVPHb/DyalSKcQmDoZojR+/FaKyha5eNDZrTXW/+cp3IBboC7YFOwIOSJD1yLSf334gkSfSf+CSB4W1AgmEzXrHqQAAiYvvg4fAMcmUtCv3DVh0IgNzFCf9nbkOYtFSszUWXX2JzXv1feAFfZQh6XQotnHZbdSAAzgEBdB3sQp16L06Ofjz47ttW7QEGjFqBoiQaBwX462ZbdSAAHW65n+i7OuCiUrJQ1RVz10lW7SVJRpjvdHRlSoRJokObj6w6EICYLo/ibByKg1ce+7Zaf/+L1NXlc+jwYI4cHY7BcB1WaN0DOddzOXvLH6GFVx49rpA0uVbEhrVnRs0ZMnzDOXb3SOLGv2HVXubgQO/netH8tk8RRiVdOn5g1YEANOvwAq3lXSlxLCF/n5WeK1dQW5tFcsozuLlFExM9z6buVssWjxEYOByjUUW7dh9adSAATk7BxMd9ilZbSHLKNIS4PmHagsJVHDzUn/R06+f1Ijp9GYlJT6BU+BIXt8iqAwEICLiL0FZTMBqriWr7hlUHAqBQeNI+films55TiZeXAP9JbD6JSJK0EggHTnI5oC6EEE9f57ldF67Vk8hFjHo9em0dLh723wmVl+Ti3ayl3Qqyqr2nqNpcBsZyQuYMReZiuVal8rvvKHz9DY5EhVGplBj28GOED73Hor26soJvZz2LJODBN97F3d92z+yqTVmoDpylTlGDg84bn8fj8IrwsnncokVPo9uXjWOfGJ584l2LdiaDnu/HPch5oWHQyPuJute+u3ez2czujXcj80zD1/EpOvS0nERoNKo5euw+dLpzmEw6vL260r79F8hk167ZkqpCy5q5R1A6Sox8oRNO7te+D8e5zDP88NqLnOh7D9vD4nkzIoTHW1gu2DSbDZw89ShVVUeJC19Ms5Z97BpHmM0kb+/OeWUp7f2exK/9cxZtDYYajh67F4Ohmi4JG3B2ttjqp+EYwoxOfx4nR/uLHAsLvyftzGyb6gh/hcrKw5w4OQYHB08MhnKrXUUBzGYdx088jEqVSkLnNbi7Wy5KvhIhBDpdMU5O9svNX81T3rXi7zyJJAA9hRBThBBPXdj+Kx3I9cBBqbwqBwLgGxB6VRLk7r3a4xxjRHIM4txbGyymN9YePkzxnLfx7NWL+xYtxcUMW1YsoyI1pUl7o8HATwveRlurZviLr9rlQGqPFqP+vQj3Hi3wG30rEoKSL5LRVlvpQXKBKVM+RBvhgXZPChu2fWHRbueMZyg26ugW191uBwL1SQy9Bn2PvtqbUvUn5KfvbtJOCDOpqdOprc0kNnYRUW3foKJyP5lZ85q0/ysY9PW1OCaDmcFTO14XB6KuKGfje3Nw9fLhkxFDGejnwWtZhfxWYbkiOiPzbSor/yA6ao7dDgTqFQliem/GXackuWQRtWctnVsTKSnTqKsrIC7uU7sdCNQ/gV6NAwEICRlF8+ZjyD/7BefOXbv+LnV1hZdiM927bbcZixBCcObMa1RXHycmZr7dDgTqVzWuxoEA+Pn1ISJ8BufPbyE3r+mW3DcKe65kycC/Ajr/MH6PDkDmfA5hDqF0UeP8cn1BIYXTnkHZsiXB783HrXlzhj0/C7ME6197EV1VwwpnIQS7ln3CufQ0Bk19Dv9Q68sHALq8GirXZ+IY4YXn4Nb4RPkg798KF7OZrI9OYLbRVU8mk/HUrE/R+MhIW/kjJ1J/b2RzbOECUs7lE+HVjO4v/cfmnP6M0smdW3quwmxwIPXMU1SX5zayyclZSGnZTtq0mYWvz60EB99H8+ZjOXv2S4rOrb3qMf+MEIJfVpymrEBN/wnt8AmyrwHS1WDU69n4/hz0Gg3DZ76Cm6cXi6JbEeHixMSUXHI0jZ16YdEPFBSsoGWLCQQFjbjqMeXOzYhP+AaZkEhMfgKDKr+RTWbWu5RX/EbbyFfx9urSxLtce9pEzMbbqxtpZ2ZbLVa1F5NJQ2LSJIQwEB9Xn5Ic2+4jnJxCSEyajFZb1OiYgoIVFJ1bTWjoVAL8B//tOdhDy5YTCQwYRnb2AkpLd92QMZvCrjoRIFWSpO2SJP10cbveE/uXxgTOuhehL0R31oOqzQcv7TfX1lIwdSrCaKT5J4uQu9fLzQd178kdQ+6lCjM/PTO5QWX38S0/kbJ3F91GPEjkLT1tjm2s1lG+MhW5lyO+o6OQ5PWPzy37taI20gdPjYG0pUk238fD1YuHZs3DJIfN77/N+YrLP8i87dv4bd9u/CQHhnzQOFvIXnz8I4kMexe5o54/9o7CoL8sO3P+/DZycj8mKGgkLZqPu7S/TcQsvL17kJb2CtXVfy9V+Pj2PDKPnqf78HBC42w3frpahBDsXPoxxZnpDHryOZq1DAXAzUHOirgwJGBsUg6qK2qMqqqOcubMq/j43EZ4uH2dH5vCyT+B+FavUKcwkbxvKMJ0Wf/q3Ln15Od/TvOQMYSEPPiXx7haZDIFcXGLUCoDSEx8Ap3OduzQEkIIUlNnolanNYjNXBmLqK95ufydqqj4nYzMOfj59aN12I2rw5Ykiaiot3F3jyMl9TnU6vQbNvaV2ONEXgOGA28D71+x/csNRqZwIPClgQh9Jao9VdSl5iDMZopemoUuI4OQBQtwDGsozBc77jE6RcSQX6di7+x6QcTcxBPsXfkFEV2602Ok7R+7MJgoX5GKMJjxeyQGmUvDVrKRj8ZQ7eGIR34NOT9lWXiXy4S3iKHHlIk41sJnbz6J3qCjKiOdzcsW4igE98z7EAcbSQq2CGt3Nz6OE1B4lbL35/oUS5XqNCmp0/H06EhU2zcarCPLZA7ExS7EyTGQxKQpaHVNd6i0RU5iGQc3ZtOmSwAd7/x7tSCWOLZ5Pan79tB95GjadO3R4LVWzo4siw0lq07L1NQ8zEKg1RbVV4s7hRDb7qO/HffxihpHW9e7qHBSkflLvTRKdc0p0s7MwturG23aWJbguV4oFN60j1+CyaRuVKx6NeTmLuJ86VYiwmfi59u7wWuuruHEtvsQlTqV1NMvIIRAo8kjKfkpXFxa0y7mfbszuK4V9SnBi5HLnUlMnITBcPVp2H8Xe1N8A4CLz6aHhRB/v5XbP8S1Dqz/E2hOZlC+MhthqsWxeT4Vny/Bf+ZMfMc3HT8wm838OP5h8jXV9OjZl+OnjuDm48uDb72H0qlxPvqVCCGo+P4MdYml+I6JwdlCj22DxkDmnEM4G824PBiNfwfbvey//u4dyjbsR8QH4pt4nmqzkZFTp9O8d1/bJ8FOfvnpIYTbQVzMd2N2OY4QJrokbMDRsen5qdXpHD02EheX1nTu9D1yuW3BzYtUFNWy9t2jePm7cO/0Tjgo5bYPukpyTx5j3TuvE9G1G3c/86LFdNvPC0p5OaOQp1r40L/iSTR1eXRJ+BFX14hrNpczO/pT4JBNhPMAzppOIskUdElYj1Lpc83GuFrOl24nKWkKgYHDiYl+76oCzqWlO0hMmkxgwHBiYiwfm5u3hKysdwltNZnSsl3odKV0SViHi0ura/Uxrprq6uMcO/4QXl4JdGj/1TVNELnI35GCvx84DNwH3A8ckiRp5DWf4b/YjUuHNrjd6ork6IsmUcJj2DB8Hh1n0V4mkzH0w0/xlZyoTQMXyYNhM16x6UAAVHsLqDtVisedrSw6EACFi4LmU9pjBKpXpVKdYVttdeyDL2LqEIiUWEwFZnrfMeSaOhCAXkO+wlAVjEa2CZ22lPi4xRYdCICbWyTtYhagUiVflUaTttbAz4sTcVDKGTw5zi4HkrxnJyl7mw5QN8W53MMc3v8UzcKCGDjlWav1GhNC/Bgd6MPHZyvYofYitt2HdjmQ49W1zM0+h8Fs+3O36bMRb60LmXXbMRqqaB+/9B91IHCxWPUZios3kH/WcvLGn1Grz5CSOh0P93iiouZYdT6tWk4kIGAouXmL0WiyiYtd+I86EABPz05EtX2TysoDZGTaTtO/ltjjrmYDXS4+fUiS1AzYBfz9COS//GW877kVQ9EWJKkTrr2Dbd5xKT08GXDbDEwFBsJ1EbgKhVV7gLq0Cmq25+Ic74d7b+t1GgCuXjI0BVvxbD6Is58l4/KGFwpX646qh7iTo8pjIPelJsF6TctfQS5XcusdP7Bn8wgqMzxJiLOdI9KsWT9at36W7OwFuLtFXdIwsoTZZGb7smTUlVqGP9sJN2/bTy/ph35n+2cfAaB0caFNl+5W7WtrijmVOAHfGA0eXUNROFqvP5AkiSecfuao8GKZbBpDHaOxFZ3Jq9PxcFI2FQYTKqOJtyObW7WXKVyI7bGB03sGEVJqwK3zdSjY/AuEhU6lVn2GzMx5uLlG4ut7u1V7g6GSU4mTkMtdiItfbPPpU5IkoqPmgjDj43sbPj62Y4o3guDgkahr0zh79ivc3aIJDr7vhoxrzwKe7E/LV+V2Hvcv15lmUwbh0skf9a9FaJIsy7oD1OzMw1RgwDHcAQeFB8Xv7sSssyw8YDivoeK7NBTBbniPjLTppC7GZhQnfqJGKsRL4UTqa9a1jdLX7ONUng/BrnHovcM5vKKI3KICq8f8Fdw8g+nZZy01eZ5smP9mI+HMpghtNQV//8F2aTQd+DGLgrRKeo9uS1C47XTv87nZbP1kAUFt2hIYEcnWRQsozc+1aG8y6dm3634cXDR4ugyiRn2IzEzr6cilZbs5m/M+c5ol4qt04tGkHEr1lv+/1UYTY5NyMAsYGeDNl4VlfFtkW0JG6RVO+x7r8SuthR8eAsM/L9MuSTJiYt7Fza0tySlPo9HkWLStl5t/Cp2uhPi4xXanGMvlTsTGfkRw0M21KBMR/iI+3reSduYVqqqP3ZAx7XEG2y5kZo2TJGkc8DOw5fpO61/sQZIkvO9pg7KFO5Wrz6A/13SDJs2p86j2nMW1ayB+j3XDqbUGSRlC8ZymxR3NGgPlX6cgKWT4jolBZsfSTNnixah27MB/+nTi3nmQcmrwlbuTPGdbk/alJzLZs70aN2MFw94eyp2TonEwKfn+o/2oNde+0ZRPcAhDps2kLD+PbZ9+YHOZ6qJGk5tb9AWNpqYTBk4fKOLUL2eJ79uc6B62JSg0NdVsfO8tnFzdGPr8bIY9PxulszMb57+Jpqbpqvnffp6AwqsQN3E/Cd0W0TzEel2EujaDlJTncHdvR4+YV1keF0aFwciE5Fz0TcjTm4XgqdP5pNdqWdIulA+jWtLb250X0ws4VGW5L8olAtrBvUug8BhsmlYvrvkPI5e7EB+3BElScCpxosVugpfrZt7C07PjDZ7ltUcmcyA29iOcnIJISprSZDryNR/TloEQYgawFIi/sC0VQljve/ovN4yLF3rJ2YHyr1MwqRu2HNUXqqlcm4Ey1AOvoeFIkkSzJ4YgKQox60MoXdLwfkCYBOXfpWGs0uH7cDQOXo7YombHDso+XoTnFbGZdq/fSaWhDo8aF3JWHmhgX1dWzc+LTiABQ6Yl4OjjQYeoGFrf44hbtR+ffrT+ujSaCuvQmdseGkf6od85uM62Eqpc7kL7+CXIZEpOJU5sJI1SnF3Nr6vO0DzKm54jbMcbTEYDmxbMRVNVxbDnZ+Pm7YObjy/Dnp+NurKCzR/Ow/Sn/i7H9r6D2e0Aoiaebv3nAtCmzRV1EdUnG9gbDFUkNhDycyLe3YUPolpyuLqWl9ILGjnQ93KL2VpWzWsRwfTyccdBJvFZu1a0cFIyPjmXAq0dbWyj74besyDxe/jjr6dnX0ucnUOIi/2Eurr8JqVR/m7dzM2KQuFFfPzSegn+pMnXvYmXXctSQogfhRDPXdjWX9cZ/ctVI/dQ4jcmBpNaT/m3aQhT/QXYpNJTviIFmYsC34ejkRwu/3cHvTwCoStCm+lE9c7L2WrVW3PQZVThPSwCx1DbSzPaM+kUvfgSTu3jCXzj9UvLXg6OCsKe7kidyYQ5yUDZoXq1VZPByM8vb0Lj4EXfId74xV8uchzary/yrpW45gWz7JtrV318JQl33UP0bX04sPpbMo78YdPeySmYuCY0mtSVWrZ8loSbtxMDHo9FJrf9U9qzfCkFp5O584mnCYy4LIke1KYt/R9/krMpify64vNL+3NSf6ZC9zmGKj96Db7c00MmUxAb+zFKpT+JSZMv1UWYzUaSk59Gqy0mLu7TBlXQwwO8mdYqgG/PVfBl4eWlz83nq1iQW8IDgT483vxywoGXwoGv48LQm808mpSDxmSHU799BkQPhZ3/gYx/rvjtSry9uxIZ+Srl5XvJynrv0v5rVTdzs+Lm2oZ27RZcaOL14nVt4mXxmy9JkkqSpJomNpUkSbZb7v3LDUXZwh3vEZHoc6qp2pSNMJop/+Y0Zo0R30dikLs1DMTKHBUEzOiLMKqo2VqCNquA2mMlqPcX4to9CNeutteGjZWVFEyZgtzVleYLP0bm2PCpxa1VMzwH+yNDonRNPtqSKn59dQ0lBNMpXE3EPY0DkpPGjUDdsgjDAS82//rr3zonTXGlcObWRQsosxKLuIi3VxfaRr5KRcU+MjPnYdSb2LI4CaPOxODJcTi52k5SOLVzC6d2bqXL0BFE39q70evtet1B57vu4eT2zSTu3kbF+XTSs6dj0inp3usHFMqGdTNKpQ/t45c2qIvIzJxLReXv9UJ+np0bjfFCWCB3+nrwn8xC9leqSFHX8dTpfBI8XHi3bfNGca82rk4sbhdKsrqOZ9PybV+IZDIYvhj8Y2DteCjLsHlebgTNQ0YTEjKavPylFBdvvOZ1Mzcr9U28nqekZBN517GJl8U6EUmSNlAvd7IO+EEIkXfdZnED+f9QJ2KNqi05qH8rQBHihqFQjc/oKFziLae01h5OpWJ1IZhqkVz8cAz1wG98LJKNO2thMJA/4THqTp6k1TcrcY6Pt2ibsXQvTlkSpXotf9Q5EOpUxKAFoy3qh1WrVSx+YwuOte7c8Uxr4ttE2ffhAYPRiMLB9kVBVVHGt7OeQ+6gYPSc93H1tC0geebMaxQUrsRc+gzpv7Zj8OR4wuJtV6SfTU1i7Vsv0yq+I8NnvoJM1nSMyWw2sf6d1zmbepLIewpRuNUQGfoprdo27sNxkYt1Ee7u7VCpUmjRfByRka9Y/txGE0OOZVCqN+Ail2EGtneOxN/RsiNclFfCW9nneCksiGmhtvXVqMyDZX3A2Qce3w1O10+m3V7MZj0nTo6jpuYETk4t0emK7a6bMQmB/AYIHF4PhBCkpDxDyfmfaR/2Jn5hf11J4KrrRIQQw4EBQCmwVJKkvZIkTZEk6Z9NBP8Xq3gODMWprTeGQjXufVpYdSAArl1jcE1wAKU3GNV4Pxhl04EAlMx9B83hwwS99aZVBwLQZmIvqhzV+Ds6016hYcDbI60KUHq6uXPfU90xy4xsW5xCWVWFzfkAbNi5m0XTdrB26w6btu4+fvSZNI3q0lI+feZ5NHW2g/lt2szGwdwBfBbReZjOLgdSfb6ETQvm4hUQxJCnZ1h0IAAymZzBT80grF8Fjt5VNHObatWBwOW6CJUqBR/vnkREvGTV3t1BztdxYQig3GDkq9gwqw4EYGpLf0YEePNOzjl2lNkhme/dCu5fCZU5sHYCmP/5btoymZK42I9RKpuh0WTZXTezv1JF9P4kVhRaz368WZEkiejod3AXXiRnzEZ7/tpnbFm9WgghqoUQXwGDgCXAG8C4az6Lf7lmSDIJn9HR+I6JxqO/fQVQPqP6oAzMQ73jDap/WGnTvnL1aipXrcJn/Hg8hw61a4yYVweg9zQT6uqJIcd2xk94i5Z0HhOIU507n3+wFcOfAs5/5tjpFHLX63EwKSncZOZwUqJVe5PJxPqf0nBw6YdMU8LiFy3fvV8kP6Wa05seQTL7YnB7w6ZGk0GrZeP8NzGbTHb1mwEorVqLW8tzeLvcZ1XK/krCQqcSH/cZcXGf2LU0E+biyE+d2rChYxs6eNhWF5YkiffatiDe3ZkpqXmcqbUjUBvaEwa9C5k7Yffr9nyM645S6UvnTt/TqeM3+PnZVjDOq9MxMSUXtdHMrIwCDlTakal2EyJP/on4w1m0Nsfh2KzTNX9/q05EkqQe/8feecdHVWVx/Htn0iXsRSkAACAASURBVHulhl4TqoCg0gQbKtZVxAbusnYpKrZ1FRtWUMGKrgUEsbt2lIVQRGnSQhIgIUACJJDey5Szf7wBEpLJTEJCAtzv5zOfzNx33nv3DsM77917zu8opd4ANgHnAdeIyKu17aNpekzeZnx7RaBM7j+Ct5h2KwHnD+HwrNkUrVzp1K7kr7/IePY5/IcPp8WDzmtKHI/ZbKbT9GF4RgWQ8/kuLBmu7/zPHzyYkAvKCTzUmrfnfenULj0rk+XzdmL1qGDIvS2o8Cxl5X92s/+w86z5t9//ksD01gRd0h7Vtidk7OK9V5zXOMlJL2bpB/GEtmjNoMH/canRJCIsefs1stJSGTv1YcLauJZEz8lZQ3LyC0RGXsxZQ9zPOlbKRGTkRXh4BLq9T3d/H7ccyBF8zSY+6t0JX7OJiXEp5Fpqd+oAnD0JBv0D1syBbV+4fa7GxMenTZV6584ottq4LW4PNoFfBnWnk683/4zfQ2pp/TS5moz9f8H3k/FpPZT2F33VKHVHaltY3wu8DRwA7gA+BIqVUgOUUg3vzjRNilKKNjNn4t2zJwcenE55Sko1G8vBg+yfPAWvtm1pO3sWylw3bSjlaSbi1hiUt5msBQnYil1XWZ5w3RWU98zAI64ln33/S7Xt5ZZy5r++FK9yf865LYrBffoyYlJnvCy+LHx9BWXl1f/Tf/Xzb5i2tKC0Wzq3jbuSe55/DrtfKwo3/s6P31QXYigrtvDzO9swe5q47O6+hITGEBMzi4KCrezY+XiNC85rv/mMXevWMOLm2+jYv/oi9/GUlOx1CPl1cWg+Nb983jY+XnzUuxMHyyzcGb8XqxvSKIx5CToMhe8nw4ETU0c+WRzJm9lZXMa8Xh3oF+jHx306YRXhtrg9FFubfnrOLQozjATQwJZw/Xwwuw4AqQ+1/VL3ArkY6yIvUlXBd5bz3TSnKiY/P9q99SbKy4v999yLreBYEJ69tJS0++5DKiqIevttzEH1k7gwB3sTfms0tvxychYlHg1Hro177/0bhREZHPrFxJrNVS9Eb731NYFZrWh5qZ1hA4yL9ZC+/Wg71kRgTkvefPOrKjkn67Zt5cCPdgrDDnHffcbajI+PD+OffRIxB7Dzi8+J23Ys98JuF5Z+EE9hdhlj7uxDYJghiXFMo+lb0tI+rNKnpPV/8McXi4gZPoqBY51XlTyC1VrItri7AEW/vvPw8Gj4+iMNxaBgf17qEcWq3CKe2e1GIpuHF4xbAP4t4LObjQtbM2f23gx+zspnRtc2nB9m/M67+PkwL6YjO4rLmLIjFXszSKisFUuZ8X2XFcD4xeDvXPfuRKltYf18ERnleI2u9H6UiJyQSp5SaqpSartSKl4pNc3R9pRS6oBSaovjdVkl+8eUUslKqZ1KqUsqtY9xtCUrpR49kT5pDDzbtCFq7hwqDhzgwIPTEZsNESH98ccpT9xB29mz8O7cyfWBasG7fRCh13ajPCWfvB+rP/FUs/f0ZuK0i6jwLubPj9JIzTAuXgu++gHvHa2w9D7E+CsvrbLPdZddjL3/YXyTWjP/S6P8zf7D6az6IIUKz1JunTYKn0ohye2i2nPePXcCVn595VVycw3Jjz+/SSY1IYcR47vT5rgSwJ063ktk5BiSkl8kO3sVAJmpe/nlzVdp1bU7F90x2bVcjNiJT3jQIeT3Br6+jSMf35Dc2Dqc26MieG9/JovTXUuj4B8BN34KZXnw+S3NQhrFGT8ezmP23kOMaxXKHVFVg1JGhQfxRJc2/JSZz6t761+zpNERgR/vhwMb4Zp3oVXvRj3dSX9mVkr1Bm4HBgP9gLFKqSNhEq+JSH/H62eHfQwwHugFjAHeVkqZlVJm4C2MRf8Y4EaHreYE8Rs0iFb//jfFq1dzeParZM97j4Kff6HFgw8QMHJkg5zDf2BLAoa1pfjPdIrXu747bR0Ryeg7e+Bh9eLT11fx6++/k7fMm8KW6dx7V81Cc/fcfj2FrdMpivXnl1WrWfj6Crwsvoz8ZxfatqieB3PesJG0HTMWVZHDfx59goQ/DrLlf2n0GdmWXsOrr2koZSIm+mUCArqzPX4K2Ye38d0rz+Ll58dVDz6Oh1ftIokAKSmvkpW1jG7d/k1Y2Hku7ZsLM7q0ZURoAI/s3M/GfDdkalr1MXJI9m+Anx5oFtIox3Mkb2ZAkB8vd29X4w3AXe0iua5lKLP2ZvBTZl4NR2kGrH0btn4KIx+FGPcCX06Epph4jQbWiUiJiFiBlcC1tdhfBXwmIuUisgdIxnBAg4FkEUkRkQrgM4etpgEIvWEcoTfdSM6HH5L5+usEXXEFYZMmNeg5gi/thHe3EHK/S6Z8r+vQ0YHRveh4tReBeS1IWlhGmW8h/5g2xmleiNls5o5pYynxz2P3p+UE5rSk7VgTg/s4D0kef9skPLsPwJSXytJ582nbI4Sh47o5tffw8HdoNHnw1/oJlBRlGpImYa6nDw4d+pG9+96hTetxRLW91aV9c8LDpJjXqyNtfDz5+/Y9HHRHGqXX1TDiYdiyCNa+4/7JrOUQ9xVUlLi/T+o6SK89Qq8y2RVWJsalEOxh5qPenfBxEuZ+JFLtrEA/JiemklhUWqNdTRwoq3AvRPoIdjts/wZK3AtxByB5Gfz2b+g5FkaeHHUqV9FZSinlWgO8bmwHhiulwpVSfsBlwJFz3KeU2qaU+lApFepoawukVdp/v6PNWXs1lFJ3KKU2KqU2ZmZmNuRYTmtaPvYY/iNH4DtoIK2ffabBIzuUWRF+Y088QrzJXpiINc/1NMfVF1+A+ZxsyryKGXN3L1qE1n6xDgsO5sp7z6LUuxB1dhbXXXaxy3Pc+9QM7KHtsZStwdZ5E2YXeTO+vlFYUi/B5F3IgFsVrbq6zj8oKNxOQuIjBAcPpEePpxslaqaxCfX04OM+nSi12blt+x5K3ZFGOf8x4wL32+Owe7lrexHjyeXrSfDtncaF1RVp62H+WPj4csjc6dLcYhf+Gb+HzAorH/XpREsXeTM+ZhMf9elEoNnEhLg9ZFe4jlTLs1i5bksyE+L28EWGm05h5Uvw1d9h8Y2GI3VF9m7DPjIarplnKAicBFzliQgNrNgrIonAS8BvwBJgC2AD3gG6AP2BdBqwBK+IvCcig0RkUGSk64p7GgPl6Um7d9+lwyefYPJxv8JfXTD5eRI+sRdisZO9IAF7hevIl7tuu54HXr/C7Uz26M5defC1q7hn0ji37M1mM3fOfp6SMBNJX3zD5oQ1tdpvW/YrW77fiqlgDOVsZ/fu2n+65RVZbNt2F56eofTp8zYmk+tpr+ZKT39f3o7pQFxhKQ/uTHNPGuWadyGyJ3z5d+PCVxvr5sHmhRA1GBK/h1Wv1G5fcNBYdwlsDR7exgW4tPaSsf9O2s+fecXM7tGOs9wMe27l7clHvTtxuMLC7fF7ay3iZbULd8bvY3+Zhb4Bvjy0M41NrqYAE76DlS9C1NmQthZ+nl77FGBZPiweD8psrD95B7g1jobAHVe1SSl1tmsz9xGRD0RkoIiMwIgA2yUih0TEJiJ24H2M6SowQowrPw1FOdqctWsaEKVUo98le7bwI+zGnljSi8n9apdbYnG1Zbw3hH2Qfwi3/OtFbGb4cfbzHMqu+ae1f0c8yz54h479BnD+NXMdGk3zyMj4vkZ7u72CuLh7sFhy6dd3Ht5errPemzsXRwTzaKfWfHMol7dS3aic7R0I4z8FpYyLfJkTKb7dsfDrv4wnl3/8Cn3Hw4rnIfGHmu0tpfDZTVBRDDd9DjcshLzUWrPmFxzIYv7BbO5p14LrWtVNjGNAsD+zerTjj7winkx2ful5dvdBVuYW8lKPKD7r34WWXsYUYIazej4Z2+Hbu6DtIJj4IwyfDpsWwPr3a7a32+Dr2yEnxYiEC+1Yp3GcMCJS6wvYAViB3cA2IA7Y5mo/F8ds4fjb3nH8EKB1pe33Y6yDgLGgvhXwBjoBKYAZoypjiqPNy2HTy9W5Bw4cKJrmSX5sqqQ9skryl6c2dVeOEvvnd/LS+Mvk6WnXSHlFWZVt+ZmH5K1/3iQfTL1dSgsLRUTEZiuXjX+Nl+Wx0ZKfv7WKvd1ul4SER+V/yzpLRsYPJ20MJwO73S53bN8jrZZvlt8y89zbafcKkadCRRbdIGKzVd2WlSzyQnuRN4eIlBUYbRWlIu+NEnmutUjG9uM7IPLVJJEZQSKJPx5r3/ix0bbkX9VO/0duobSN3Sw3bkkWq91eh9FWZUbSfmm5fLN8ciCr2rbFB7Ok5fLN8viutKNtCYUl0mnlVhmzYaeUWo8bd1GWyGu9RWb1EClIN9psNpFPxxvf1e7Y6h1YOsMY47r36j0GdwA2Sk3X85oapeoFv0NNL1f7uTjmaiDBceG/wNH2yREHBXx/nFN53OHEdgKXVmq/DNjl2Pa4O+fWTqT5YrfbJevTREl7dJWUxFf/D9lUfLz4RZk17nJ5+cXbj7ZVlJXKgoenyNyJ10vW/qpOr7w8S35fM1xW/36elJUdPtqemjZf/ressyQnv3LS+n4yKbba5ML1O6Tryq2ys6jUvZ3WzjMugP97+lhbab7Im4NFXuwgkp1S1T7/oMgr3UVe62NccI+w+jXjOCtfrn6On6Yb2zZ/erQptbRcoldvk6FrEySvwuL+IGvAarfL+C3JEhW7RdbmFh5t35BXJO1it8h1m5PEYqvqpH4+nCstl2+We+P3iv2IA7NWiHx4mcgzkSL7N1Y9ibPvZNuXxti+n2I40kak3k7E2JdhwN8d7yOBTu7s1xxf2ok0b+wVVsmYu0n2P7lGKjKKmro7R3nphX/KrHGXy/zPXhS73S4/vPaizLphrOzetL5G+4KCBFke20s2bPib2Gxlkp29RpYt7yZbtt4udrutxn1OB9JKy6XX6jg5988EyXXn4my3i3x3n3EhjPvKuOtedIPjrnuFk5NsNC60H11uXHh3/ioyI1jki4k1X0itFYbtM5EiaRukyGqVUesSpduqrZJc7Kazc0FehUXO+zNBYlbHSVppuRwsK5c+v8fJ4D/iJdvJ9zB7T7q0XL5Z3tp3yGj44X7je9j6ec0nyd5d9enswCaRZ1uIfDBGxFLeIOOoDWdOxKkU/BGUUjOAQUAPEemulGoDfCkizaM6fR053aXgTwes+eUcfmMzyttMy3v7Y/JrHLmGulBhKefFh2/EJ6OcqEEDSF+/meE33cbgq5zX2D50+Be2b7+PyMhLyM1dh7d3JIMGflknjatTkXV5RVy3ZTdDQwJY2LczHq403KwVMP8KSN9q5DVs+9wQbxxyp/N9tn5mRGv1usYIaw3tYKybeDnJ9i/JgffOR6zl3H7Bf/k5r5yFfTszOrx+ygs1kVxSxqUbd9HB1xuzguSScn4a2I2e/r412osIt8fv5efMfBb6JjN6ySQ4bwpc/Kzzk+yOhYV/gy6j4XACKBPcHgsBrgOGymx2p6HL7lBnKfhKXANcCRQDiMhB4PT+X6BpUjyCvQm/NQZbXjnZn+5AbE2fmObl6c0dj8+h3A/S12+m4zlDOPvK2kuqtmxxKZ06TiYz81dA6Nvn3dPegQAMCQngxe5RrMgt5NkUN6VRbviEX1pfzA1yNpkD74DBd9S+T7/x5J97PzerIXwdeYEh7eHMgQD4hcGNn/Fa5Fh+zCvn3x0j3XMgOSnw8VjYs9qlaVc/H96J6UB8YQnbCkp4O7q9UwcCRtDKnOj2RHvZuKuwFck9b4ALn6r9JF1GUX7xC9zpeS7vhpxvBCi44UA+S8/mwo07nS/mnwDulPSqEBFRSgmAUqr5CvtoThu8OwQRek1Xcr9KIv/nFEKu6NLUXaJVRDuueOhx3lj0OBs6xXG5rRwfj9pDnzt1moLJ5ENo6BD8/DqenI42A25uE058USnz0jLpFeDLOBeRT9skgHu6PECpwKSgEXwpgnctUYE2Ee5qeQuxXkWsCj+HKEIZ4qJPv5ja8HL7W7ku41fuzk2Bju8aEWLOKCswoscyd8Ch7cYdf1jtkj8X7vyYdxNjsSozl3icA5EP1WrvX3iAjzfcw5her3Bbhyn8bIegWm7tRYRHQy7lu7IcvuMC2pjb4yonfWN+MQ/v3M+QEH8iPBu+iqM7TyJfKKXmASFKqduB/2GE4Go0jYr/oFYEDG1D0ZqDFG9sHlpF/Xuexy23P0lC/g5m/DED19PBJjp2vIvg4LNOUg+bD093bcvQkACXeRGZFRb+HreHUC9PZnZry/qCUv61a3+t3+1zuw8Sm1vEk13a0M7Xh39s38v+WrLmE4tKuS8xlbMC/ZjV2oza9hn8+abzztvt8M0dRonfK+YaORqLb4TyQuf77PoNls7gqhYh/K1lGCx/DnbUkmZXUQyLb6JdaTofdG/J3nIrd8XvxVbLuD84kMXijBzua9+Cs4P8mZqYyvZC55n86eUV/GP7Hlp7ezKvV0fXU4v1wKUTEZFZwFfA10AP4EkReaPBe6LR1EDwZZ3x7hpC7rdJlO9zkk9wkhnVfhT3nXUfP+/5mY/iP2rq7jRbPE2K93t3rDUvosJuZ9L2veRYrHzcpxOToiKZ1qEli9Jz+NBJNcEvMnJ4Jy2Tv7eN4J72LZjfpxMVdrsh026rng+SY7EyMW4PAY5Mc5+RD0LMVbD0SUj6X82dj50Ju36BMS/AwIlw/ceQtQu+cZI1n7nLyKpv1RuueguunAttzoJvbofDidXtReC/d8PheLjuQ87p0IPnu0WxPKeQmbtrroOzOqeQGckHGBMRxL86t+aD3h0J9TQzMW4PmRXVv9tS25HvxM78vp0Ia4SnEMdYXEZmTQZCXdmdKi8dnXXqYSuukIMvr5cDz/4plrwy1zucBOx2u0xfMV36fNxHVqatbOruNGuO5EVcsmGnlFTKi7Db7fJA4j5puXyzfJuRc7TdZrfLhG27pU3sZlmdU1DlWH/lF0n7FVvk2k1JUlEpbHZpVr60Wr5Z/hm351jIrIhU2Oxy7aYkab9ii/yVVynar7xI5O2hIs+3E8ncVbXDcV8ZUVL/vbdqtNefbxvty56ral+SKzJ3gMhLnUVyK4V75x8QeaWbyOt9RYqzq+6z4iXjWL/PqdL88I5Uabl8s3yZXtV+T0mZ9Fi1TUasS5RCi/Vo+5aCYumwYotc9dcuKbdV/W7vid8rrZZvliXu5u24ACfRWe5MZ7UENiilvnBIr596Ij+aUxqTnycRE2KQCkMaRSxNXxRIKcUzQ5+hZ1hPHln1CCl5riXtz1SiA3x5M7o9WwpLeKiSNMqHB7JYlJ7DlPYtuLpl6FF7k1K8Gd2BLr4+3L59L/sc1QQzyo1prxZenrzXqyOelaZmLgwP4vHOrfkhM485+45Nfc5IPsCavCJe6dGOAcGVlnO9/A15ELOHI2veIYx4cAv8915oNwQun111zWTIXdD/Flj1MsR/a7TZbcYTSO4+uOETCKkkohHUBm5YZEixfHkb2BwaW4k/Gk86fW+A8yZX+a6e6xbFuSH+PLgzjc0FxjRVodXGhG17UMCCPp0I8DhWDK5foB+v9WzP2vxiHk86cPS7fTstk68P5fJIp1ZcEhHs9r9VvajJsxz/AhRGcarPMFR0nwe6uLNvc3vpJ5FTl5L4LEl7dJVkLU6scrfZlBwsPCgjPhshl39zueSVNcwd3+lK5byI1TkF0iZ2s9y6dbfYnPxbVr77ziy3yJgNO6XTyq2SUFhSo/2Ru++WyzfLL4fzZOEBI1t8RtJ+553a87vI02Ein/zNyBCfHSMyO1qk8FDN9pYykfcvFHmulcjBrSK/Pm48UWz8yPk5Ni00bH5+2Mi0n9nGyLyvqDlHJbPcIoP+iJd+v2+Xg2XlcuvWmp/KKvNc8gFpuXyzfLg/8+hT2e3b9zTo/xPqmydyBKVUP+DvGDU9YoFzgKUi8nDDu7bGQ+eJnNoUxKZS8Os+gi/tSODIhhaYrh+bDm1i0m+TGNJqCG9d8BZmk3tlg23FFpTC7TwYsQu2nDI8IpyHjTZnRI7lRQR4mGjl5cVPA7sR6OH8+1qdU8j4bbsJMpvJtdr4sHdHLosMcWpfarNz9eYkkkrKsdiFYaFGroq5tgmUjR8aRZx8Q42CWf9YAm36O7cvPATvjzIWxsvy4Ozb4XIXxV6X/AvWvmWcw+wNd6yAoNZOzROKShm7KQlvpci12pjZrS2TopyH8tpEmBi3hxU5BfiYTHT09ea7AV3xr2MJ69qod56IowrhX8DLwBqgj4jcDQwEag+U12gamMDz2+HbN4L8JXsp3VGHOguNyICWA/j3kH+z5uAaXvvrNbf2sRVUcHjOJg7N2Yyt0I1aHED+TylkzNpI0fqaF16bO0fzIgJ8MKGY36dTrQ4EYHhYIE93bUuu1cZDHVvV6kAAfM0mPu7TiQCziXY+XrwT06F2BwIw6B8waJKh9nvVm7U7EDBqlo9fBNYy6DjcWHx3xUXPGAmCFSXGvrU4EICYAF/eiG5PrtXGza3D+Efb2oU6zUrxdkwHOvl6420yvoOGdCC14U7G+tPAhyKyr4Zt0WJIu58y6CeRUx97hY3Md7dizS6jxb398Wzhnnx3Y/P8uudZvGMxM4fN5MouzqP3xWon871tWNKNsFfPNgFE3t4H5eH8nq54Ywa5XyVh8vfAXmYj8vY+eHds5LnuRqLEZqfYZiPSy30lgtTSctr5eLmtKJ1jseKlVJX1g1qx26FgP4TUoTxxQTr4hRvJku5gs0BxprFW4ib7yypo4+2Jyc1xF1ttlNmFcK+Gj8Sq95OIiMwQkX1KqRZKqfZHXo5tp5QD0ZwemLzMhE+IQXmajBokpa6LAp0MHjr7IQa3GszTfzxNXGZcjTYiQu63yVSkFhI6rjuh13WnYl8Bed/tdpoXUb6vgNxvk/HuGkLLBwbhEepD9ifuFfFqjviZTXVyIADtfb3rVJIgzNPDfQcCRp2TujgQMJ4m3HUgAGbPOjkQgCgfL7cdCIC/h7lRHEhtuDOddYVSKgnYg1HKdi/wSyP3S6OpFY8QH8JvicaaW0b24h1ILUWBThaeJk9mj5xNpF8kU2Oncrikem2NojUHKfnrEIEXtMevTyR+/SIJHNWO4g0ZFP9ZfZrKml9O9icJmEO8Cb+pJ2Z/T8InxCBW94t4aTSNiTshvs9hLKLvEpFOwAXA2kbtlUbjBt4dgwm5qgvlu3LJX7KnqbsDQIhPCHNHz6XIUsS02GmU246VNS1LyiX/pxR8eoUTdMGxu96gizrgEx1G3o+7KUvOO9ouFpsjpNlOxISYowvw9SnipdE0Fu44EYuIZAMmpZRJRGIxVH01miYnYHBr/M9tTdGqAxT/1TykUbqHdueFYS8QlxXH0388jYhgzSol+9MdeLTwI2xcD1SlHAdlUoTd0AOPCD9yPk3Eml2KiJDzdRKWg0WE3dADz5ZVJet8e4YRdElHSrdlURibdrKHqNEcxR0nkqeUCgBWAYuUUnNwKPpqNM2BkLGd8e4cTO63SVSk1aJtdBK5oMMF3NP/Hn5I+YFFWz4ha0E8SmE8UXhXn6s3+XgYCZUCWQsSKPhfKqVbMgm6uAO+MeE1niNwZBS+/SMp+G0fpQnZjT0kjaZG3HEiVwGlGCVrl2BUEbyiMTul0dQFZTYRdnM05kAvshYkYCsod72Tg6J16ZRur1mj6US5s++dXNT+Inx/KsKSWUrYTdF4hDvP8fCI8CX8pp5YD5dQuCwV374RBJ7vPBdGKUXY37rh2TaAnM92Yjnk/r1dSVzmKRsqrGleuBOdVSwiNhGxish8EZnrmN7SaJoNZn9PIib2QsqtZH2SiFhqEMk7juK/DpH3bTLZnyZStjvPpX1dMSkT/yq9myFFffiw9X/JiHR9Dp9uoYRe2w3fPhGEXtfdZUSS8nREqnmZyFqQgL3Edb2IsqRcchbvIO+bZEo2V1/812jqglMnopQqVEoVOP4eeX/kc/OQU9VoKuHZyp+wcT2wpBWS+21SrQvO5akF5H6bhHfnYGMtYlEi1pyGDZkt2ZpJ2aoMOCuQZZEbmLx8MoUVrqfb/M9uRfjN0Zi83AtRrUsRr6NrM5F+eHUMIufrJCr2N48pQM2piVMnIiKBIhLk+Hvk/ZHPDVdTUqNpQHx7RxB0YXtKNh2m6PcDNdrYCsrJ/iQRc5A3YTdHH1uLmB+Pvbxhck4qDhSR+9UuvDoG0fZvfXl11KvsL9zPI6sewWZv+LDcI0W8ypPzyP+5ZjFIe5mVrAUJR9dmwm+JxhzgSfaCBGwF7mXNazTHU9uTiI9SappS6k2l1B1KqZObwaLR1JPA0e3x7R1O/s97KNuVW2WbWOzGdFe5lYgJMZj9PausReR8vuuEc05shRVkL0jA5OdJ+C3RKA8Tg1oN4rEhj7H6wGrmbp57Qsd3RtUiXhlVtoldyPl8J9askqNrM+YAL8InxGAvtZK9MAGxup4C1GiOp7Y1kfkYobxxwGXA7JPSI43mBFEmRej1Rlhs9qeJWDINSW0RIfebJCxphUbYbKtjYbM+3UIJvrwzZQnZFCxLrfe5xWone2Ei9hIL4RNiMAccy2ge12Mc47qP48PtH/JTyk/1H2AtHCvilVyliFfB0n2UJeYQMrYLPl2P6U95tQkgdFwPKlILyf02WeecaOpMbU4kRkRuEZF5wHXA8JPUJ43mhDF5OxaczcrI7C6zUrT6ACWbDxN0UQd8e1UXtAsY2ga/gS0pXJZKSVxmnc8pIuR9t5uKfQWEXtcdr7YB1WweHfwoA1sOZMYfM4jPiq/X2GpDmZWR2R7iTfYnCVjzyynZmklhbBr+Z7fC/9zqwn9+fSIIvKA9JX8domjNwQbvk+b0pjYncjTMQ0SahziRRlMHPMJ8CL85Gmt2GZnvx5H/yx58+0QQOLrmsFmlFKHXdMWrfSC5X+yi4mBRnc5X/Gc6xRsyCBzVDr9+Nct2e5o9efX8Vwn3CWdK7BQyS+ruGWCM0AAAIABJREFUrFxRuYhX1ofbjbWZDkGEXNXFabRX0AXt8ekVTv5PKZQl5dZocyphF7t+qjpJ1OZE+lWOyAL66ugszamGd+cQQq7sguVAEZ6t/Am9vvawWeVhIvyWGEy+HsaCc5F7C85lu/PI+3E3PtFhBF3UoVbbMJ8w5o6eS2FFIdNWTKPC1vCL2p4t/Qkb3wPr4ZIqazPOUCZF2LgeeLb0I3vRDqxZpQ3ep5NFiaWEW3++lbuX3Y3F7jrkWXNi1BadZT4uIstDR2dpTkUCzmlN+MQYIib1dits1hxkLDjbiixkL0p0ueBszS4lZ1EiHhF+hN1QVdLEGT3CejBz2Ey2ZW7j2bXPNspds29MOBGT+hB5Z1/Mga7VZo0pwF4oE2QtiMdedupNQIgI/17zb+Ky4lhzYA0vr3+5qbt02uNOxrpGc8rjGx1eZZHbFV5RgYRd142KPQXk/bDbqZ293AibFYGIiTGYfNwPYryow0Xc1e8u/pv8XxYlLnJ7v7rg0zUEjzAft+09wnwIuzkaa1YpOZ/vbBbqyHVh3rZ5LN23lAcGPsBtvW7js52f8dWur5q6W6c1OmxXo3GCX/8WVKQXU7RyP56tAwg4p+qitBE2uwtrZgkRf+9dq6SJM+7udzdJuUm8svEVOod05rw25zVU9+uNT5cQQq7oQt53uylYuo/gSzo2dZfcYtm+Zby15S2u6HwFE3tNxC52kvKSmLluJp2COzGw5cCm7uJpiX4S0WhqIfiSjvj0CCXv+92Up1SVLSn43z7KErIJvqwzPt1C63V8kzLx/LDn6RzcmYdWPkRqQf3DixsS/3Na4z+4FYWxaZRsbf7SKLtyd/HY74/RJ6IPM86bgVIKs8nMyyNeJiogigdWPMDBIh151hg0iRNx1G3frpSKV0pNc7SFKaWWKqWSHH9DHe1KKTVXKZWslNqmlBpQ6TgTHfZJSqmJTTEWzemNMinCbuyJR7gP2ZWkUUq2ZVK4PA2/gS0JGFq3anXH4+fpx9zRc1FKMXn5ZIoq6hYV1hgopQi5sgteHYPI/SqJigNN3ydn5JblMmX5FAI8A3h91Ot4m72PbgvyCmLu6LlYbBamxk6lxFLShD09PTnpTkQp1Ru4HRgM9APGKqW6Ao8Cy0SkG7DM8RngUqCb43UH8I7jOGHADGCI41gzjjgejaYhMfl4GNUEbUL2ggTK9+aT++UuvNoHEnpN1zqVbXVGu8B2vDryVfYV7OOx1Y9hl6bPHjci1aIx+XmSvSAeW2Hzk0ax2C1MXzmdzJJMXh/1Oi38WlSz6RTciZdGvMTOnJ08seYJHfrbwDTFk0g0sE5EShz5JyuBazEk5+c7bOYDVzveXwUsEIO1QIhSqjVwCbBURHJEJBdYCow5mQPRnDl4RvoRflM0lkPFZM7bhsnPg/BbY2oNm60rg1sP5pHBj7Bi/wre3Pxmgx33RDAHeBE+MQZ7iZXsha4j1SpTvif/qFqAO9iKLZRuz6rTRf6VDa+wPmM9M86bQd/Ivk7thkcN5/6B9/Pbvt94P+599/tkt/Hr3l8ptugSSs5oCieyHRiulApXSvlhSKq0A1qKyJECBxlAS8f7tkDl0m37HW3O2qvh0P7aqJTamJnZ8MldmjMDn+6hBI/tfNSBuBM2W1fG9xjP37r9jffj3mfJniUNfvz64NUmgNDru1Oxr4C873a7dZEvS84j8/1tZL67DWuua3VksdjJ+jie7IWJFK2uWTjzeL7e9TWLdyxmYsxEruxypUv723rdxtjOY3lj8xvEpsa6dY7X/nqN6Sun8+DKBxtFOPN04KQ7ERFJBF4CfsMocrUFsB1nI0CDPXOKyHsiMkhEBkVG1pxJrNG4Q+DQtrR+/By8ogIb5fhKKR4f8jgDWgzgiTVPkJCd0CjnqSt+fSMJHNWO4g0ZFP9ZezEra3YpOZ8m4hHma2iJLUjAXuH8AlxZ08wzKoD8X/ZQtjOn1nNsOrSJ59Y9x9A2Q7l/4P1ujUEpxYxzZ9ArvBePrn6U5NzkWu2/3/098xPm0yeiD2sOrGHOpjlunedMo0kW1kXkAxEZKCIjgFxgF3DIMU2F4++RkJADGE8qR4hytDlr12gaFXeSCU+EI9IoIT4hTFk+hazSxqm8WFeCLuqAT3QYeT/upiy5ZmmUKnkzt/Ui7MaeWDKKyf1yl9MnmKOaZhe2J/KOvni28id78Q6nU2HpRencv+J+2ga05aURL2E2uVd3BcDHw4c5o+bg5+nH5OWTySuruVBYXGYcT//xNINbDWb+pfO5occNfBT/ET/s/sHtc50pNFV0VgvH3/YY6yGfAt8DRyKsJgLfOd5/D0xwRGmdA+Q7pr1+BS5WSoU6FtQvdrRpNKc84b7hzB01l/zyfB5Y8UCjSKPUFWVShN3Qwyji9ekOrNlVpVEq582E39QTjwhffHuGETymE6VxWRTGplU7Ztmu3EqaZu0xeR0RzjQdFc6sTKm1lKmxU6mwVTB39FyCvYPrPI6W/i15fdTrHCo5xPRV07Haq57jcMlhpsZOJdIvklkjZ+Fp8uSRwY9wdquzeeqPp9ietb3O5zydaao8ka+VUgnAD8C9IpIHvAhcpJRKAi50fAb4GUgBkoH3gXsARCQHeBbY4Hg942jTaE4LosOjeXbYs2w+vJnn1z3fLKKKTD4eREx0FPFakFCliFfBstQa82YCRrTF76wWFPy2j9KEY5W1LZklZH+aeEzTzPGE5xHqQ/gthnBmzuIdR7PmRYQn1zzJjpwdvDTiJToHd673OPpF9mPGuTNYl76OWRtnHW0vt5UzLXYaRZYi5o6eS6iPMQ5PkyezR84m0i+SqcunNopw5qlKU01nDReRGBHpJyLLHG3ZInKBiHQTkQuPOARHVNa9ItJFRPqIyMZKx/lQRLo6Xh81xVg0msZkTMcx3N7ndr5OMhaRmwMe4b6E39wTa+axIl4lcVkULkutMW9GKUXotV3xjAog57OdWA4VYy+zkr0gwZCunxBTTdPMu1MwIVd1oWxnLvlL9gLwn7j/sGTvEqYNnMaIqBEnPI6rul7FrTG3sihxEd8mfYuI8MyfzxCXFccLw16ge2j3KvahPqHMGTWHQksh02KnUW4rP+E+nA6o5nB3czIZNGiQbNy40bWhRtNMsIudqbFTWb1/NfMumseQ1kOauksAFK45QP4PKfgNaEFpXBaerf2JvKOv07BnW345h97cjPI04xHhS3lyHpH/7IN3Z+dTUrn/TaZ4bToZF9r5x4HJXNb5Ml4Y9kKD5OYAWO1W7vnfPWw4tIGrulzF10lfc0//e7i7391O9/nfvv9x/4r7ubLLlTw39LkG60tzRyn1l4gMOr5dy55oNM0ckzLxwrAX6BjUkQdXPkhaYfW1hZqosFXw8MqHG+0JJuC8NpjPCqFk02EqvGwu82bMwd6E3xqDJa+U8l25BF3RsVYHAhByRWfs7b0IW2bjEq/zeercp1xetMUu5H6XTP5ve12OwcPkwSsjX2G09VzOWtaaa1pcyZ1976x1nws7XMjd/e7m+93f80nCJy7PcbqjnYhGcwoQ4BXAG6PfQESYsnyKy+S3I1Mzv+z9hefXPe92XkRdsNqt/DvwNRaH/8JDbWaRZElxuc9S6yqeavs277T8grfNC13aF1gLmR7+MnmeRUxNGY9nietLVsGyVIr/TKdweRpFa13rZfkVeDJt700MLI7h7qRrweJ6duaufndxYfsLmf3XbP448IdL+9MZ7UQ0mlOEdkHtmDVyFnvy97iURlmYuJDvdn/HpN6T3M6LqCsvrn+R9ZkbaH15DHlBJUxdPpWcMuexLfFZ8Tz1x1NIF18Ch7Y9uhbhDKvdyvSV00mu2IPnDW1R5UL2wgTE4nzclddmfHqGkfd9SjXhzMocWZsxe5gJuboLtvQScr9OchnEYFImZg6bSZeQLkxfNZ19BftqtT+d0U5EozmFOLfNuUwfNJ3YtFje3vJ2jTZ/HPyDWRtncUH7C5gyYMrRvIgpsVPIL89vkH58sfMLvtj1Bf/o/Q9uibmFOaPnkF2WzQMrHsBiq15NMLMkkymxUwj3CWf2+bOZPmg657Y+l2fWPsOWw1tqPMfsjbNZm76WJ855gj69BhI2rgcVqYXk/je5xot8xcEicr/YeVTTLGx8DzwifMheeEw4szJiF3IW78CaXUb4zTEEnNOGoEs6Uro1k8KV+11+B36efswdNRezMjNl+ZRmIZzZFGgnotGcYtwcfTNXd72aedvm8eveqqlRqQWpPLTyIbqEdOH5Yc9jUqajeREZxRlMX1k9L6KubMjYwAvrXmBE1AimnDUFgF7hvXjmvGf469BfvLD+hSr2FbYK7l9xP4UVhcwdPZcwn7CjaxFt/NswLXYaGcUZVfb5NulbFiYu5JboW7im2zUA+PaOIPCC9pT8dYiiNVWnqWxFFWQvSMDke0zTzBDO7IXYIXtBPPbyqlnzBb/upWxnLiFXdjm6NhM4MgrffpEU/LqX0sRsXBEVGMWr579KakEqj65+9IyURtFORKM5xVBK8cQ5T9Avsh9PrHmCHTk7ACiqKGLy8smYlIm5o+bi5+l3dJ9+kf148twnWZu+ltkbZ9f73AeKDvDgigdpF9SOF4e/WCVb/LLOlzGp9yS+3PUln+/4HDDWZp5d+yxbM7cyc9hMeoT1OGof7B3MG6PfoMxWxtTYqZRZjaeFLYe38OzaZzmn9Tk8OOjBKucPuqA9Pr3Cyf8phbIkI2terHayFyViK7IQPqGqpplnhC/hN/XEcqiE3C+OVWos2XKYwpX78R/SqkqxMaUUoX/rhmcbRzjyYdcCkme3OptHBj/Cyv0reXNL8xDOPJloJ6LRnIJ4mb14fdTrBHoFHpVGeXT1o+wr2MfskbOJCoyqts/VXa/mluhbWJi4sNa1CGeUWEqYsnwKVruVuaPmEuhVXT9s8lmTGRE1ghfXv8iGjA0sSlzEf5P/y1397uKiDhdVs+8c0pmXhr9EYnYiT/7xJBnFGUyLnUYr/1bMGjkLD1PV4qvKpAgb1wPPln5kf7oDS1YpeT/spmJPAWHXdatR08yneyjBl3WmND6bwuWpVOwvJOerJLw6BRFyRZdq9iYvs/E042kie3489pLq03PHc0OPG7iu+3X8J+4//Jzys0v70wmdJ6LRnMLEZ8UzcclE/Dz8yC3P5V9D/sWNPW90al85L+KjSz6if4v+bp3HLnamr5zOstRlvH3B2wxtO9SpbWFFITf/fDNZpVkUW4oZ1W4Ur57/Kibl/J71P3H/Yc6mOYR6h1Jhr2DhpQvpGtrV+Thyyjj85mZQYC+2EjAyipBLOzm1FxFyv9xFyabDmPw8UF5mWtzXH3OAcyXm8r35ZL4fh3fnYCJu640y1x5abLFZ+Odv/yQ+O575l86nV3ivWu1PJvZyKxWphfWuwAk6T0SjOS3pFWGsReSW5/K3bn9jfI/xtdq7Wotwxrxt81i6bykPDHygVgcCEOgVyBuj3wCgc3BnZg6bWasDAZjUexKXdryUvPI8Xhz+Yq0OBMAjzIewm6Oxl9rw6RHqsg68UorQa7rh1S4QsdiNaa9aHAiAd8dgQq/uSnlSHvm/7KnVFo4JZ4b5hDF1+dRmI5x5RNMs6+N4rHmuZfnrin4S0WhOA9IK02gb0NblxfoIKXkp3PTzTXQI6sD8MfPx8fBxarts3zKmrZhW5wztrNIs/Dz8qqzN1IbNbiO9OL3GqThnWHPLMAd5oczujVssNuwlVszB3q6NHeR9v5uiPw4Sen13/Ae2dGm/I2cHE36ZQI/QHnxwyQd4mRu+7kxdyF+6j8JlqQSP7UzgsBpLLrmFfhLRaE5j2gW2c9uBQPW1CGc3k7tyd/HY74/RN6IvT577ZJ0kPiJ8I9x2IABmk7lODgQMsUZ3HQiA8jTXyYEABF/eCe8uweR+k0R5aoFL+55hPXl26LNsydzCzHUzm1Q4szZNs4ZCOxGN5gxlZLuRTBkwhV/2/MKH2z+stj23LJcpy6cQ4BnAa6New9tct4vv6YIymwi7KRpzsDfZnyRgy3ctvHhJx0u4o+8dfJP0DZ/u+PQk9LI6x+fNNJbGl3YiGs0ZzJG1iDmb5rBq/6qj7Ra7hQdXPkhmSSZzRs2hhV+LJuxl02P29yRiQgxSbifrkwTE4jof5N7+9zKq3She2fAKa9PXnoReHqOmvJnGQjsRjeYMRinF00OfpmdYTx5e9TApeYb+1cvrX2ZDxgaeOu8p+kT2aeJeNg88W/kTdkMPLPuL3JZGeWH4C3QK7sSDKx4krcA94cwTpba8mcZAOxGN5gzH18OXuaPn4m32ZvLyyXy0/SM+2/kZt/W6jSu6XNHU3WtW+PYKJ+iiDpRsyaRoletq3P6e/swdNRelFFNiXQtnNgSu8mYaGu1ENBoNrfxb8fqo1zlYfJBX/3qVoW2HMm3AtKbuVrMkcHQ7fPtEkL9kD6U7XRdTbRfUjtkjZ7Mnfw+Prn60VuHME6VobTrF6zIIGBmFX/+TMwWpnYhGowHgrBZnMXPoTIa3Hc7LI16uImmiOYZSitDru+PZyp+cxTuwZLqWRhnSeggPnf0QK9JW8NaWtxqlX+UpeeR9v9utvJmGRDsRjUZzlMs6X8bbF75NkFdQU3elWWPyMhM+IQZlNpE9PwF7qWtRy5t63sS13a7lvW3vsWTvkgbtjzWnjOxFiXiE+xB2Y8+j9epPBtqJaDQaTT3wCPUh/JZo4wK+eMdRcUdnKKV4fMjj9I/szxO/P0FidmKD9MNebiN7QQJiE6NevY+H650aEO1ENBqNpp54dwom5KoulO/KJX+Ja2kUL7MXr416jWDvYKbETiG71LXcfG2IXcj9cieWQ8WE39gTz0j3kzsbCu1ENBqN5gQIGNIa/3NaU7TqAMWbDrm0j/CNYO7oueSV5Tkt4uUuhctTKd2eTfClnfDpEVbv45wI2oloNBrNCRJyRWe8OxvSKBVphS7tY8JjeHbos2w6vInn1z9fL2mU0u1ZFPwvFb+zWhAwvP6aWCeKdiIajUZzgiizibCbozEHepH1SQK2ggqX+4zpNIZ/9vknX+366mgRL3exZBST88VOPNsFEnptt0aTNHEH7UQ0Go2mATD7exIxsRdSZiX7kwTE4jofZPJZk7nHPIE+C4PYst49aRRbsYWsBQkobw8ibo1GeTbtZVw7EY1Go2kgPFv5EzauBxVpheR+61oaxZJWxBU7ziXQFoD3d3nsT6t9cV5sdnIWJWIrKCf81mjMQU0viqmdiEaj0TQgvr0jCLqwPSWbDlP0u3NpFFtBOdmfJGIO8kYmtkKhOPDRZoqLnK+p5P2YQnlKPqHXdMO7ffPI5dFORKPRaBqYwNHt8e0dTv7PeyjblVttu1jsZH2SiJRbiZgQQ4fo7pSMDaBVSTjr3vsJm626SnDR+nSK/0wnYHhbt4pjnSy0E9FoNJoGRpkUodf3wLOlP9mf7sCSVXp0m4iQ+00SlrRCwsb1wLOVPwADzh3K7kG5dD/clhWfflvleOV788n7bjfe3UMJrqWWfFPQJE5EKXW/UipeKbVdKbVYKeWjlPpYKbVHKbXF8ervsFVKqblKqWSl1Dal1IBKx5molEpyvCY2xVg0Go2mJkzeDmkUE2TPj8deZkijFK0+QMnmwwRd2B7f3hFV9jn/2ivZEbWfHvEtWbt8GQDWvDKyP0k0MuTH9zipkibucNKdiFKqLTAFGCQivQEzMN6x+SER6e94bXG0XQp0c7zuAN5xHCcMmAEMAQYDM5RSoSdvJBqNRlM7HmE+hN0cjTW7jJzPdlK6I4f8X/bg2zucwNHtq9mbTCaG3X41+wIziFgqJMVtNyRNrHZD0sTPswlGUTtNNZ3lAfgqpTwAP+BgLbZXAQvEYC0QopRqDVwCLBWRHBHJBZYCYxq74xqNRlMXfLqEEHJlZ8p25JA9Px7Plv6EXu/8icLH25du/xxGiUc53ouysRwsJuzGnni2cC1pkpKfwrbMbQ09hFo56U5ERA4As4BUIB3IF5HfHJtnOqasXlNKHYldawtULgm239HmrL0aSqk7lFIblVIbMzMzG3A0Go1G45qAc9oQcF4bzEFexhOFd+0y+y1atsZzXFuKzKUs6bIej+6ui0ulFaYx4ZcJ3LbkNrYc3uLSvqFoiumsUIyni05AG8BfKXUL8BjQEzgbCAMeaahzish7IjJIRAZFRkY21GE1Go3GbUKu7EKrRwbjEebjln10n/6k/N3KHK+PeWn9S7XaFluKmbJ8CiJCC78W3L/ifg4Vu9bxagiaYjrrQmCPiGSKiAX4BjhPRNIdU1blwEcY6xwAB4B2lfaPcrQ5a9doNJpmSV0Xxcd2Hcvfe/2dz3d+zhc7v6jRxi52/rX6X6Tkp/DKyFd4c/SblFhKmBo7lTJrWUN0u1aawomkAucopfyUIfhyAZDoWOfA0XY1sN1h/z0wwRGldQ7G9Fc68CtwsVIq1PF0c7GjTaPRaE4bpg6YyrC2w3hh3QtszNhYbfs7W99hedpypg+aznltzqNraFdeGP4C8dnxPPXnU/USd6wLTbEmsg74CtgExDn68B6wSCkV52iLAJ5z7PIzkAIkA+8D9ziOkwM8C2xwvJ5xtGk0Gs1pg9lk5qURLxEVGMUDKx7gYNGxOKTf9v7Gu1vf5aouV3FL9C1H20e3H83ksybzU8pPfBz/caP2TzW2l2puDBo0SDZurO7NNRqNpjmzJ38PN/90M20C2rDg0gWkFqYy4ZcJdA/tzoeXfIiX2auKvYjw0KqH+G3vb7x1wVsMjxp+QudXSv0lIoOqtWsnotFoNKcGq/ev5r7l9zEiagS7cnZhFSufj/2cCN+IGu1LLCVMXDKR/YX7WXT5IjoHd673uZ05ES17otFoNKcIw6OGc/+A+1mRtoLssmzmjprr1IEA+Hn6MXfUXLzMXkxdPpWCioIG79PJreiu0Wg0mhNiYq+J2LHTPbQ7vSJ6ubRvHdCaV89/lYUJCzE1wnODns7SaDQajUv0dJZGo9FoGhztRDQajUZTb7QT0Wg0Gk290U5Eo9FoNPVGOxGNRqPR1BvtRDQajUZTb7QT0Wg0Gk290U5Eo9FoNPXmjEs2VEplAvvquXsEkNWA3TlV0OM+s9DjPrNwd9wdRKRaVb8zzomcCEqpjTVlbJ7u6HGfWehxn1mc6Lj1dJZGo9Fo6o12IhqNRqOpN9qJ1I33mroDTYQe95mFHveZxQmNW6+JaDQajabe6CcRjUaj0dQb7UQ0Go1GU2+0E3EDpdQYpdROpVSyUurRpu5PY6KU+lApdVgptb1SW5hSaqlSKsnxN7Qp+9gYKKXaKaVilVIJSql4pdRUR/tpPXallI9Sar1Saqtj3E872jsppdY5fvOfK6W8mrqvjYFSyqyU2qyU+tHx+bQft1Jqr1IqTim1RSm10dFW79+5diIuUEqZgbeAS4EY4EalVEzT9qpR+RgYc1zbo8AyEekGLHN8Pt2wAg+KSAxwDnCv49/5dB97OTBaRPoB/YExSqlzgJeA10SkK5ALTGrCPjYmU4HESp/PlHGPEpH+lfJD6v07107ENYOBZBFJEZEK4DPgqibuU6MhIquAnOOarwLmO97PB64+qZ06CYhIuohscrwvxLiwtOU0H7sYFDk+ejpeAowGvnK0n3bjBlBKRQGXA/9xfFacAeN2Qr1/59qJuKYtkFbp835H25lESxFJd7zPAFo2ZWcaG6VUR+AsYB1nwNgdUzpbgMPAUmA3kCciVofJ6fqbfx14GLA7PodzZoxbgN+UUn8ppe5wtNX7d+7R0L3TnN6IiCilTtu4cKVUAPA1ME1ECoybU4PTdewiYgP6K6VCgG+Bnk3cpUZHKTUWOCwifymlzm/q/pxkhonIAaVUC2CpUmpH5Y11/Z3rJxHXHADaVfoc5Wg7kziklGoN4Ph7uIn70ygopTwxHMgiEfnG0XxGjB1ARPKAWOBcIEQpdeQm83T8zQ8FrlRK7cWYoh4NzOH0HzcicsDx9zDGTcNgTuB3rp2IazYA3RxRG17AeOD7Ju7TyeZ7YKLj/UTguybsS6PgmA//AEgUkVcrbTqtx66UinQ8gaCU8gUuwlgPigWuc5idduMWkcdEJEpEOmL8n14uIjdzmo9bKeWvlAo88h64GNjOCfzOdca6GyilLsOYPzUDH4rIzCbuUqOhlFoMnI8hD30ImAH8F/gCaI8hoz9ORI5ffD+lUUoNA1YDcRybI/8XxrrIaTt2pVRfjIVUM8ZN5Rci8oxSqjPGHXoYsBm4RUTKm66njYdjOmu6iIw93cftGN+3jo8ewKciMlMpFU49f+faiWg0Go2m3ujpLI1Go9HUG+1ENBqNRlNvtBPRaDQaTb3RTkSj0Wg09UY7EY1Go9HUG+1ENGccSilRSs2u9Hm6UuqpBjr2x0qp61xbnvB5rldKJSqlYo9rP/+IIm0djjVNKeXXsD3UnCloJ6I5EykHrlVKRTR1RypTKVPaHSYBt4vIqAY49TRAOxFNvdBORHMmYsWoK33/8RuOf5JQShU5/p6vlFqplPpOKZWilHpRKXWzoxZHnFKqS6XDXKiU2qiU2uXQaDoicviKUmqDUmqbUurOSsddrZT6HkiooT83Oo6/XSn1kqPtSWAY8IFS6pUaxheklPpJGTVw3lVKmRz7XayU+lMptUkp9aVSKkApNQVoA8Qqo56K2fEdbHect9p3pNFURgswas5U3gK2KaVersM+/YBoDKn8FOA/IjJYGQWsJmPc0QN0xNAj6oJxce4KTADyReRspZQ3sEYp9ZvDfgDQW0T2VD6ZUqoNRn2LgRi1LX5TSl3tyCgfjZFlvbGGfg7GqH2zD1iC8dS1Avg3cKGIFCulHgEecBzrAYz6EllKqYFAWxHp7ehDSB2+H80ZiHYimjMSh0LvAmAKUOrmbhuOyGUrpXYDR5xAHFB5WukLEbEvsSe5AAABsUlEQVQDSUqpFAxV3IuBvpWecoKBbkAFsP54B+LgbGCFiGQ6zrkIGIEhQ1Mb60UkxbHPYoynljIMx7LGoUzsBfxZw74pQGel1BvAT5XGqNHUiHYimjOZ14FNwEeV2qw4pnkd00CVy6NW1lCyV/psp+r/peO1hARQwGQR+bXyBoduU3H9uu8UZ+dfKiI31rqjSK5Sqh9wCXAXMA74RwP3T3MaoddENGcsDoG5L6haAnUvxvQRwJUYlf7qyvVKKZNjnaQzsBP4FbjbITePUqq7Q0W1NtYDI5VSEcoo03wjsNKN8w92qE6bgBuA34G1wFDH1NoRNdfuDvtC4IiyawRgEpGvMaa/Brg/bM2ZiH4S0ZzpzAbuq/T5feA7pdRWjPWE+jwlpGI4gCDgLhEpU0r9B2OtZJNDdj4TFyVIRSRdKfUohjy5An4SEXckujcAbwJdHft+KyJ2pdRtwGLHmgwYTmIXRpDBEqXUQYx1nY+OLMYDj7k5Zs0Zilbx1Wg0Gk290dNZGo1Go6k32oloNBrN/9urYwEAAACAQf7Wc9hdErFJBIBNIgBsEgFgkwgAm0QA2AKVYlZ4nCbLuAAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "dnjL78WMeapa", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 314 + }, + "outputId": "61e22a10-7a14-45f1-b52d-b07de47f1e14" + }, + "source": [ + "#Create a list for calculating final funds\n", + "final_funds= []\n", + "\n", + "#Run 1000 iterations :\n", + "for i in range(1000):\n", + " ending_fund = play(10000,100,50)\n", + "\n", + "#Print the money the player ends with\n", + "print(\"The player started with $10,000\")\n", + "print(\"The player left with $\",str(sum(ending_fund)/len(ending_fund)))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "The player started with $10,000\n", + "The player left with $ 9919.8\n" + ], + "name": "stdout" + }, + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "cz2BKZwEed6E", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 331 + }, + "outputId": "858c586d-ca06-4579-ad46-0a870687cbb3" + }, + "source": [ + "#Create a list for calculating final funds\n", + "final_funds= []\n", + "\n", + "#Run 10 iterations :\n", + "for i in range(10):\n", + " ending_fund = play(10000,100,5)\n", + "\n", + "#Print the money the player ends with\n", + "print(\"Number of bets = 5\")\n", + "print(\"The player started with $10,000\")\n", + "print(\"The player left with $\",str(sum(ending_fund)/len(ending_fund)))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Number of bets = 5\n", + "The player started with $10,000\n", + "The player left with $ 9960.0\n" + ], + "name": "stdout" + }, + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "t_Xqrbf6ehe7", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 331 + }, + "outputId": "d46d94d7-66b0-4316-dbe6-02b637b1a1cd" + }, + "source": [ + "#Create a list for calculating final funds\n", + "final_funds= []\n", + "\n", + "#Run 10 iterations :\n", + "for i in range(10):\n", + " ending_fund = play(10000,100,100)\n", + "\n", + "#Print the money the player ends with\n", + "print(\"Number of bets = 100\")\n", + "print(\"The player started with $10,000\")\n", + "print(\"The player left with $\",str(sum(ending_fund)/len(ending_fund)))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Number of bets = 100\n", + "The player started with $10,000\n", + "The player left with $ 9820.0\n" + ], + "name": "stdout" + }, + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "mdIz7H-Tej0N", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 333 + }, + "outputId": "e800239c-b551-4376-9a66-e3e42edc39ab" + }, + "source": [ + "#Create a list for calculating final funds\n", + "final_funds= []\n", + "\n", + "#Run 10 iterations :\n", + "for i in range(10):\n", + " ending_fund = play(10000,100,1000)\n", + "\n", + "#Print the money the player ends with\n", + "print(\"Number of bets = 1000\")\n", + "print(\"The player started with $10,000\")\n", + "print(\"The player left with $\",str(sum(ending_fund)/len(ending_fund)))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Number of bets = 1000\n", + "The player started with $10,000\n", + "The player left with $ 7380.0\n" + ], + "name": "stdout" + }, + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "nnGBCHVwemN4", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 331 + }, + "outputId": "ce3c5774-805d-4312-8754-8d6d20d82c9e" + }, + "source": [ + "#Create a list for calculating final funds\n", + "final_funds= []\n", + "\n", + "#Run 10 iterations :\n", + "for i in range(10):\n", + " ending_fund = play(10000,100,5000)\n", + "\n", + "#Print the money the player ends with\n", + "print(\"Number of bets = 5000\")\n", + "print(\"The player started with $10,000\")\n", + "print(\"The player left with $\",str(sum(ending_fund)/len(ending_fund)))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Number of bets = 5000\n", + "The player started with $10,000\n", + "The player left with $ -2060.0\n" + ], + "name": "stdout" + }, + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Fk4lvMCAeo6_", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 331 + }, + "outputId": "4ac7b478-69f6-45d2-f08c-d3ec8f52ba55" + }, + "source": [ + "#Create a list for calculating final funds\n", + "final_funds= []\n", + "\n", + "#Run 10 iterations :\n", + "for i in range(10):\n", + " ending_fund = play(10000,100,10000)\n", + "\n", + "#Print the money the player ends with\n", + "print(\"Number of bets = 10000\")\n", + "print(\"The player started with $10,000\")\n", + "print(\"The player left with $\",str(sum(ending_fund)/len(ending_fund)))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Number of bets = 10000\n", + "The player started with $10,000\n", + "The player left with $ -12740.0\n" + ], + "name": "stdout" + }, + { + "output_type": "display_data", + "data": { + "image/png": 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\n", 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    " + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + } + ] +} \ No newline at end of file diff --git "a/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_2_Python_Packages.ipynb" "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_2_Python_Packages.ipynb" new file mode 100644 index 0000000..c0042ad --- /dev/null +++ "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_2_Python_Packages.ipynb" @@ -0,0 +1,1797 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "phP2vS12A3Vp" + }, + "source": [ + "You can read a lot more about Python classes [in the documentation](https://docs.python.org/3.7/tutorial/classes.html).\n", + "\n", + "# 1. Numpy\n", + "\n", + "Numpy is the core library for scientific computing in Python. It provides a high-performance multidimensional array object, and tools for working with these arrays.\n", + "\n", + "##Arrays\n", + "\n", + "A numpy array is a grid of values, all of the same type, and is indexed by a tuple of nonnegative integers. The number of dimensions is the *rank* of the array; the *shape* of an array is a tuple of integers giving the size of the array along each dimension.\n", + "\n", + "We can initialize numpy arrays from nested Python lists, and access elements using square brackets:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "95iZ78oIBo3U", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 118 + }, + "outputId": "475381ad-0b51-4c5c-aea8-95282bb5a609" + }, + "source": [ + "import numpy as np\n", + "\n", + "a = np.array([1, 2, 3]) # Create a rank 1 array\n", + "print(type(a)) # Prints \"\"\n", + "print(a.shape) # Prints \"(3,)\"\n", + "print(a[0], a[1], a[2]) # Prints \"1 2 3\"\n", + "a[0] = 5 # Change an element of the array\n", + "print(a) # Prints \"[5, 2, 3]\"\n", + "\n", + "b = np.array([[1,2,3],[4,5,6]]) # Create a rank 2 array\n", + "print(b.shape) # Prints \"(2, 3)\"\n", + "print(b[0, 0], b[0, 1], b[1, 0]) # Prints \"1 2 4\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "\n", + "(3,)\n", + "(1, 2, 3)\n", + "[5 2 3]\n", + "(2, 3)\n", + "(1, 2, 4)\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "4vFfuh7CBuJV" + }, + "source": [ + "Numpy also provides many functions to create arrays:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "7V5tqkhIB0g2", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 168 + }, + "outputId": "aaecf656-96dc-44b7-ab12-17f0b14af54e" + }, + "source": [ + "import numpy as np\n", + "\n", + "a = np.zeros((2,2)) # Create an array of all zeros\n", + "print(a) # Prints \"[[ 0. 0.]\n", + " # [ 0. 0.]]\"\n", + "\n", + "b = np.ones((1,2)) # Create an array of all ones\n", + "print(b) # Prints \"[[ 1. 1.]]\"\n", + "\n", + "c = np.full((2,2), 7) # Create a constant array\n", + "print(c) # Prints \"[[ 7. 7.]\n", + " # [ 7. 7.]]\"\n", + "\n", + "d = np.eye(2) # Create a 2x2 identity matrix\n", + "print(d) # Prints \"[[ 1. 0.]\n", + " # [ 0. 1.]]\"\n", + "\n", + "e = np.random.random((2,2)) # Create an array filled with random values\n", + "print(e) # Might print \"[[ 0.91940167 0.08143941]\n", + " # [ 0.68744134 0.87236687]]\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "[[0. 0.]\n", + " [0. 0.]]\n", + "[[1. 1.]]\n", + "[[7 7]\n", + " [7 7]]\n", + "[[1. 0.]\n", + " [0. 1.]]\n", + "[[0.6954391 0.83532001]\n", + " [0.49623436 0.53147419]]\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "fYy0KgJjB5ev" + }, + "source": [ + "You can read about other methods of array creation [in the documentation](http://docs.scipy.org/doc/numpy/user/basics.creation.html#arrays-creation).\n", + "\n", + "##Array indexing\n", + "\n", + "Numpy offers several ways to index into arrays.\n", + "\n", + "###Slicing\n", + "\n", + "Similar to Python lists, numpy arrays can be sliced. Since arrays may be multidimensional, you must specify a slice for each dimension of the array:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "mECt4JAYCQ8c", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 50 + }, + "outputId": "e4efb1b3-c42a-434d-ed43-12423b40d603" + }, + "source": [ + "import numpy as np\n", + "\n", + "# Create the following rank 2 array with shape (3, 4)\n", + "# [[ 1 2 3 4]\n", + "# [ 5 6 7 8]\n", + "# [ 9 10 11 12]]\n", + "a = np.array([[1,2,3,4], [5,6,7,8], [9,10,11,12]])\n", + "\n", + "# Use slicing to pull out the subarray consisting of the first 2 rows\n", + "# and columns 1 and 2; b is the following array of shape (2, 2):\n", + "# [[2 3]\n", + "# [6 7]]\n", + "b = a[:2, 1:3]\n", + "\n", + "# A slice of an array is a view into the same data, so modifying it\n", + "# will modify the original array.\n", + "print(a[0, 1]) # Prints \"2\"\n", + "b[0, 0] = 77 # b[0, 0] is the same piece of data as a[0, 1]\n", + "print(a[0, 1]) # Prints \"77\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "2\n", + "77\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "GVy4_GX5CYLD" + }, + "source": [ + "You can also mix integer indexing with slice indexing. However, doing so will yield an array of lower rank than the original array. Note that this is quite different from the way that MATLAB handles array slicing:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "YEY_yDDKClZ-", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 118 + }, + "outputId": "dfae9773-f154-4144-da80-89b4ad01d5b5" + }, + "source": [ + "import numpy as np\n", + "\n", + "# Create the following rank 2 array with shape (3, 4)\n", + "# [[ 1 2 3 4]\n", + "# [ 5 6 7 8]\n", + "# [ 9 10 11 12]]\n", + "a = np.array([[1,2,3,4], [5,6,7,8], [9,10,11,12]])\n", + "\n", + "# Two ways of accessing the data in the middle row of the array.\n", + "# Mixing integer indexing with slices yields an array of lower rank,\n", + "# while using only slices yields an array of the same rank as the\n", + "# original array:\n", + "row_r1 = a[1, :] # Rank 1 view of the second row of a\n", + "row_r2 = a[1:2, :] # Rank 2 view of the second row of a\n", + "print(row_r1, row_r1.shape) # Prints \"[5 6 7 8] (4,)\"\n", + "print(row_r2, row_r2.shape) # Prints \"[[5 6 7 8]] (1, 4)\"\n", + "\n", + "# We can make the same distinction when accessing columns of an array:\n", + "col_r1 = a[:, 1]\n", + "col_r2 = a[:, 1:2]\n", + "print(col_r1, col_r1.shape) # Prints \"[ 2 6 10] (3,)\"\n", + "print(col_r2, col_r2.shape) # Prints \"[[ 2]\n", + " # [ 6]\n", + " # [10]] (3, 1)\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "(array([5, 6, 7, 8]), (4,))\n", + "(array([[5, 6, 7, 8]]), (1, 4))\n", + "(array([ 2, 6, 10]), (3,))\n", + "(array([[ 2],\n", + " [ 6],\n", + " [10]]), (3, 1))\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "h4jnbBVuCtnz" + }, + "source": [ + "###Integer array indexing\n", + "\n", + "When you index into numpy arrays using slicing, the resulting array view will always be a subarray of the original array. In contrast, integer array indexing allows you to construct arbitrary arrays using the data from another array. Here is an example:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "QEo_GRgzC6m-", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 84 + }, + "outputId": "900edad7-8f6a-42ea-9d33-8743868e8d2f" + }, + "source": [ + "import numpy as np\n", + "\n", + "a = np.array([[1,2], [3, 4], [5, 6]])\n", + "\n", + "# An example of integer array indexing.\n", + "# The returned array will have shape (3,) and\n", + "print(a[[0,1], [1,1]]) # Prints \"[1 4 5]\"\n", + "#primul [0,1,2] - alegi array-ul\n", + "#al doilea alegi indexul corespunzator array-ului respectiv\n", + "\n", + "# The above example of integer array indexing is equivalent to this:\n", + "print(np.array([a[0, 0], a[1, 1], a[2, 0]])) # Prints \"[1 4 5]\"\n", + "\n", + "# When using integer array indexing, you can reuse the same\n", + "# element from the source array:\n", + "print(a[[0, 0], [1, 1]]) # Prints \"[2 2]\"\n", + "\n", + "# Equivalent to the previous integer array indexing example\n", + "print(np.array([a[0, 1], a[0, 1]])) # Prints \"[2 2]\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "[2 4]\n", + "[1 4 5]\n", + "[2 2]\n", + "[2 2]\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "FnueaModDAVt" + }, + "source": [ + "One useful trick with integer array indexing is selecting or mutating one element from each row of a matrix:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "teKdkq30DFeG", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 168 + }, + "outputId": "5bc0b45e-99d1-4ac5-9c31-5c39cbd153d7" + }, + "source": [ + "import numpy as np\n", + "\n", + "# Create a new array from which we will select elements\n", + "a = np.array([[1,2,3], [4,5,6], [7,8,9], [10, 11, 12]])\n", + "\n", + "print(a) # prints \"array([[ 1, 2, 3],\n", + " # [ 4, 5, 6],\n", + " # [ 7, 8, 9],\n", + " # [10, 11, 12]])\"\n", + "\n", + "# Create an array of indices\n", + "b = np.array([0, 2, 0, 1])\n", + "\n", + "# Select one element from each row of a using the indices in b\n", + "print(a[np.arange(4), b]) # Prints \"[ 1 6 7 11]\"\n", + "\n", + "# Mutate one element from each row of a using the indices in b\n", + "a[np.arange(4), b] += 10\n", + "\n", + "print(a) # prints \"array([[11, 2, 3],\n", + " # [ 4, 5, 16],\n", + " # [17, 8, 9],\n", + " # [10, 21, 12]])" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "[[ 1 2 3]\n", + " [ 4 5 6]\n", + " [ 7 8 9]\n", + " [10 11 12]]\n", + "[ 1 6 7 11]\n", + "[[11 2 3]\n", + " [ 4 5 16]\n", + " [17 8 9]\n", + " [10 21 12]]\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "9LtmzO68DJgr" + }, + "source": [ + "###Boolean array indexing\n", + "\n", + "Boolean array indexing lets you pick out arbitrary elements of an array. Frequently this type of indexing is used to select the elements of an array that satisfy some condition. Here is an example:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "1c6neAk_DPR8", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 101 + }, + "outputId": "4895a94c-f571-4a32-ce62-c005e78b662e" + }, + "source": [ + "import numpy as np\n", + "\n", + "a = np.array([[1,2], [3, 4], [5, 6]])\n", + "\n", + "bool_idx = (a > 2) # Find the elements of a that are bigger than 2;\n", + " # this returns a numpy array of Booleans of the same\n", + " # shape as a, where each slot of bool_idx tells\n", + " # whether that element of a is > 2.\n", + "\n", + "print(bool_idx) # Prints \"[[False False]\n", + " # [ True True]\n", + " # [ True True]]\"\n", + "\n", + "# We use boolean array indexing to construct a rank 1 array\n", + "# consisting of the elements of a corresponding to the True values\n", + "# of bool_idx\n", + "print(a[bool_idx]) # Prints \"[3 4 5 6]\"\n", + "\n", + "# We can do all of the above in a single concise statement:\n", + "print(a[a > 2]) # Prints \"[3 4 5 6]\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "[[False False]\n", + " [ True True]\n", + " [ True True]]\n", + "[3 4 5 6]\n", + "[3 4 5 6]\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "CySWjuR6DjuW" + }, + "source": [ + "For brevity we have left out a lot of details about numpy array indexing; if you want to know more you should [read the documentation](http://docs.scipy.org/doc/numpy/reference/arrays.indexing.html).\n", + "\n", + "##Datatypes\n", + "\n", + "Every numpy array is a grid of elements of the same type. Numpy provides a large set of numeric datatypes that you can use to construct arrays. Numpy tries to guess a datatype when you create an array, but functions that construct arrays usually also include an optional argument to explicitly specify the datatype. Here is an example:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "ox5QZ5HyEHkO", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 67 + }, + "outputId": "d14dc70f-3643-4fb4-bac3-c1b4b0b4cd2f" + }, + "source": [ + "import numpy as np\n", + "\n", + "x = np.array([1, 2]) # Let numpy choose the datatype\n", + "print(x.dtype) # Prints \"int64\"\n", + "\n", + "x = np.array([1.0, 2.0]) # Let numpy choose the datatype\n", + "print(x.dtype) # Prints \"float64\"\n", + "\n", + "x = np.array([1, 2], dtype=np.int64) # Force a particular datatype\n", + "print(x.dtype) # Prints \"int64\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "int64\n", + "float64\n", + "int64\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "AvPTXfZeEKk5" + }, + "source": [ + "You can read all about numpy datatypes [in the documentation](http://docs.scipy.org/doc/numpy/reference/arrays.dtypes.html).\n", + "\n", + "##Array math\n", + "\n", + "Basic mathematical functions operate elementwise on arrays, and are available both as operator overloads and as functions in the numpy module:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "VRbBCC-wEiQg", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 319 + }, + "outputId": "fb1c0a72-a45d-42c9-be73-b3547e52154c" + }, + "source": [ + "import numpy as np\n", + "\n", + "x = np.array([[1,2],[3,4]], dtype=np.float64)\n", + "y = np.array([[5,6],[7,8]], dtype=np.float64)\n", + "\n", + "# Elementwise sum; both produce the array\n", + "# [[ 6.0 8.0]\n", + "# [10.0 12.0]]\n", + "print(x + y)\n", + "print(np.add(x, y))\n", + "\n", + "# Elementwise difference; both produce the array\n", + "# [[-4.0 -4.0]\n", + "# [-4.0 -4.0]]\n", + "print(x - y)\n", + "print(np.subtract(x, y))\n", + "\n", + "# Elementwise product; both produce the array\n", + "# [[ 5.0 12.0]\n", + "# [21.0 32.0]]\n", + "print(x * y)\n", + "print(np.multiply(x, y))\n", + "\n", + "# Elementwise division; both produce the array\n", + "# [[ 0.2 0.33333333]\n", + "# [ 0.42857143 0.5 ]]\n", + "print(x / y)\n", + "print(np.divide(x, y))\n", + "\n", + "# Elementwise square root; produces the array\n", + "# [[ 1. 1.41421356]\n", + "# [ 1.73205081 2. ]]\n", + "print(np.sqrt(x))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "[[ 6. 8.]\n", + " [10. 12.]]\n", + "[[ 6. 8.]\n", + " [10. 12.]]\n", + "[[-4. -4.]\n", + " [-4. -4.]]\n", + "[[-4. -4.]\n", + " [-4. -4.]]\n", + "[[ 5. 12.]\n", + " [21. 32.]]\n", + "[[ 5. 12.]\n", + " [21. 32.]]\n", + "[[0.2 0.33333333]\n", + " [0.42857143 0.5 ]]\n", + "[[0.2 0.33333333]\n", + " [0.42857143 0.5 ]]\n", + "[[1. 1.41421356]\n", + " [1.73205081 2. ]]\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "yrTXIl8sEs3f" + }, + "source": [ + "Note that unlike MATLAB, `*` is elementwise multiplication, not matrix multiplication. We instead use the `dot` function to compute inner products of vectors, to multiply a vector by a matrix, and to multiply matrices. `dot` is available both as a function in the numpy module and as an instance method of array objects:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "66sNDwkpE8op", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 151 + }, + "outputId": "48ccaf83-891e-4687-97ca-85c2349556cb" + }, + "source": [ + "import numpy as np\n", + "\n", + "x = np.array([[1,2],[3,4]])\n", + "y = np.array([[5,6],[7,8]])\n", + "\n", + "v = np.array([9,10])\n", + "w = np.array([11, 12])\n", + "\n", + "# Inner product of vectors; both produce 219\n", + "print(v.dot(w))\n", + "print(np.dot(v, w))\n", + "\n", + "# Matrix / vector product; both produce the rank 1 array [29 67]\n", + "print(x.dot(v))\n", + "print(np.dot(x, v))\n", + "\n", + "# Matrix / matrix product; both produce the rank 2 array\n", + "# [[19 22]\n", + "# [43 50]]\n", + "print(x.dot(y))\n", + "print(np.dot(x, y))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "219\n", + "219\n", + "[29 67]\n", + "[29 67]\n", + "[[19 22]\n", + " [43 50]]\n", + "[[19 22]\n", + " [43 50]]\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "m8gZf_6lFAVt" + }, + "source": [ + "Numpy provides many useful functions for performing computations on arrays; one of the most useful is `sum`:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "vBen0kKQFJF1", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 67 + }, + "outputId": "20b7048b-e44b-4efc-e7d3-5821fd786be2" + }, + "source": [ + "import numpy as np\n", + "\n", + "x = np.array([[1,2],[3,4]])\n", + "\n", + "print(np.sum(x)) # Compute sum of all elements; prints \"10\"\n", + "print(np.sum(x, axis=0)) # Compute sum of each column; prints \"[4 6]\"\n", + "print(np.sum(x, axis=1)) # Compute sum of each row; prints \"[3 7]\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "10\n", + "[4 6]\n", + "[3 7]\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ji1mKJf5Fg1k" + }, + "source": [ + "You can find the full list of mathematical functions provided by numpy [in the documentation](http://docs.scipy.org/doc/numpy/reference/routines.math.html).\n", + "\n", + "Apart from computing mathematical functions using arrays, we frequently need to reshape or otherwise manipulate data in arrays. The simplest example of this type of operation is transposing a matrix; to transpose a matrix, simply use the `T` attribute of an array object:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "waRKr66yF0RV", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 118 + }, + "outputId": "e3c81244-7137-4ee2-b8b8-543704e56e3d" + }, + "source": [ + "import numpy as np\n", + "\n", + "x = np.array([[1,2], [3,4]])\n", + "print(x) # Prints \"[[1 2]\n", + " # [3 4]]\"\n", + "print(x.T) # Prints \"[[1 3]\n", + " # [2 4]]\"\n", + "\n", + "# Note that taking the transpose of a rank 1 array does nothing:\n", + "v = np.array([1,2,3])\n", + "print(v) # Prints \"[1 2 3]\"\n", + "print(v.T) # Prints \"[1 2 3]\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "[[1 2]\n", + " [3 4]]\n", + "[[1 3]\n", + " [2 4]]\n", + "[1 2 3]\n", + "[1 2 3]\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "yfBlU2kgF3vE" + }, + "source": [ + "Numpy provides many more functions for manipulating arrays; you can see the full list [in the documentation](http://docs.scipy.org/doc/numpy/reference/routines.array-manipulation.html).\n", + "\n", + "##Broadcasting\n", + "\n", + "Broadcasting is a powerful mechanism that allows numpy to work with arrays of different shapes when performing arithmetic operations. Frequently we have a smaller array and a larger array, and we want to use the smaller array multiple times to perform some operation on the larger array.\n", + "\n", + "For example, suppose that we want to add a constant vector to each row of a matrix. We could do it like this:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "fQgMaLdFGV6K", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 84 + }, + "outputId": "ec0b7211-4fb2-4175-c5f5-8d9466182151" + }, + "source": [ + "import numpy as np\n", + "\n", + "# We will add the vector v to each row of the matrix x,\n", + "# storing the result in the matrix y\n", + "x = np.array([[1,2,3], [4,5,6], [7,8,9], [10, 11, 12]])\n", + "v = np.array([1, 0, 1])\n", + "y = np.empty_like(x) # Create an empty matrix with the same shape as x\n", + "\n", + "# Add the vector v to each row of the matrix x with an explicit loop\n", + "for i in range(4):\n", + " y[i, :] = x[i, :] + v\n", + "\n", + "# Now y is the following\n", + "# [[ 2 2 4]\n", + "# [ 5 5 7]\n", + "# [ 8 8 10]\n", + "# [11 11 13]]\n", + "print(y)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "[[ 2 2 4]\n", + " [ 5 5 7]\n", + " [ 8 8 10]\n", + " [11 11 13]]\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "nWI9Vb6IGbL1" + }, + "source": [ + "This works; however when the matrix `x` is very large, computing an explicit loop in Python could be slow. Note that adding the vector `v` to each row of the matrix `x` is equivalent to forming a matrix `vv` by stacking multiple copies of `v` vertically, then performing elementwise summation of `x` and `vv`. We could implement this approach like this:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "ffVP_lOOGw6e", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 151 + }, + "outputId": "92d618e9-4634-456a-fa0c-faf42a264756" + }, + "source": [ + "import numpy as np\n", + "\n", + "# We will add the vector v to each row of the matrix x,\n", + "# storing the result in the matrix y\n", + "x = np.array([[1,2,3], [4,5,6], [7,8,9], [10, 11, 12]])\n", + "v = np.array([1, 0, 1])\n", + "vv = np.tile(v, (4, 1)) # Stack 4 copies of v on top of each other\n", + "print(vv) # Prints \"[[1 0 1]\n", + " # [1 0 1]\n", + " # [1 0 1]\n", + " # [1 0 1]]\"\n", + "y = x + vv # Add x and vv elementwise\n", + "print(y) # Prints \"[[ 2 2 4\n", + " # [ 5 5 7]\n", + " # [ 8 8 10]\n", + " # [11 11 13]]\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "[[1 0 1]\n", + " [1 0 1]\n", + " [1 0 1]\n", + " [1 0 1]]\n", + "[[ 2 2 4]\n", + " [ 5 5 7]\n", + " [ 8 8 10]\n", + " [11 11 13]]\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "dbR6fU5GGzMz" + }, + "source": [ + "Numpy broadcasting allows us to perform this computation without actually creating multiple copies of `v`. Consider this version, using broadcasting:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "vQ3djy02G4r2", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 84 + }, + "outputId": "e2c45fa6-39fd-4237-95ba-0d4240438ad9" + }, + "source": [ + "import numpy as np\n", + "\n", + "# We will add the vector v to each row of the matrix x,\n", + "# storing the result in the matrix y\n", + "x = np.array([[1,2,3], [4,5,6], [7,8,9], [10, 11, 12]])\n", + "v = np.array([1, 0, 1])\n", + "y = x + v # Add v to each row of x using broadcasting\n", + "print(y) # Prints \"[[ 2 2 4]\n", + " # [ 5 5 7]\n", + " # [ 8 8 10]\n", + " # [11 11 13]]\"" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "[[ 2 2 4]\n", + " [ 5 5 7]\n", + " [ 8 8 10]\n", + " [11 11 13]]\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "6zqsq3xLG9hD" + }, + "source": [ + "The line `y = x + v` works even though `x` has shape `(4, 3)` and `v` has shape `(3,)` due to broadcasting; this line works as if `v` actually had shape `(4, 3)`, where each row was a copy of `v`, and the sum was performed elementwise.\n", + "\n", + "Broadcasting two arrays together follows these rules:\n", + "\n", + "1. If the arrays do not have the same rank, prepend the shape of the lower rank array with 1s until both shapes have the same length.\n", + "2. The two arrays are said to be *compatible* in a dimension if they have the same size in the dimension, or if one of the arrays has size 1 in that dimension.\n", + "3. The arrays can be broadcast together if they are compatible in all dimensions.\n", + "4. After broadcasting, each array behaves as if it had shape equal to the elementwise maximum of shapes of the two input arrays.\n", + "5. In any dimension where one array had size 1 and the other array had size greater than 1, the first array behaves as if it were copied along that dimension.\n", + "\n", + "For more details, you can read the explanation [from the documentation](http://docs.scipy.org/doc/numpy/user/basics.broadcasting.html).\n", + "\n", + "Functions that support broadcasting are known as *universal functions*. You can find the list of all universal functions [in the documentation](http://docs.scipy.org/doc/numpy/reference/ufuncs.html#available-ufuncs).\n", + "\n", + "Here are some applications of broadcasting:\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "S-iRQm3JIb4F", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 202 + }, + "outputId": "474431eb-f7b7-4342-f341-36cb1d092919" + }, + "source": [ + "import numpy as np\n", + "\n", + "# Compute outer product of vectors\n", + "v = np.array([1,2,3]) # v has shape (3,)\n", + "w = np.array([4,5]) # w has shape (2,)\n", + "# To compute an outer product, we first reshape v to be a column\n", + "# vector of shape (3, 1); we can then broadcast it against w to yield\n", + "# an output of shape (3, 2), which is the outer product of v and w:\n", + "# [[ 4 5]\n", + "# [ 8 10]\n", + "# [12 15]]\n", + "print(np.reshape(v, (3, 1)) * w)\n", + "\n", + "# Add a vector to each row of a matrix\n", + "x = np.array([[1,2,3], [4,5,6]])\n", + "# x has shape (2, 3) and v has shape (3,) so they broadcast to (2, 3),\n", + "# giving the following matrix:\n", + "# [[2 4 6]\n", + "# [5 7 9]]\n", + "print(x + v)\n", + "\n", + "# Add a vector to each column of a matrix\n", + "# x has shape (2, 3) and w has shape (2,).\n", + "# If we transpose x then it has shape (3, 2) and can be broadcast\n", + "# against w to yield a result of shape (3, 2); transposing this result\n", + "# yields the final result of shape (2, 3) which is the matrix x with\n", + "# the vector w added to each column. Gives the following matrix:\n", + "# [[ 5 6 7]\n", + "# [ 9 10 11]]\n", + "print((x.T + w).T)\n", + "# Another solution is to reshape w to be a column vector of shape (2, 1);\n", + "# we can then broadcast it directly against x to produce the same\n", + "# output.\n", + "print(x + np.reshape(w, (2, 1)))\n", + "\n", + "# Multiply a matrix by a constant:\n", + "# x has shape (2, 3). Numpy treats scalars as arrays of shape ();\n", + "# these can be broadcast together to shape (2, 3), producing the\n", + "# following array:\n", + "# [[ 2 4 6]\n", + "# [ 8 10 12]]\n", + "print(x * 2)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "[[ 4 5]\n", + " [ 8 10]\n", + " [12 15]]\n", + "[[2 4 6]\n", + " [5 7 9]]\n", + "[[ 5 6 7]\n", + " [ 9 10 11]]\n", + "[[ 5 6 7]\n", + " [ 9 10 11]]\n", + "[[ 2 4 6]\n", + " [ 8 10 12]]\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8GYvMrTfIioI" + }, + "source": [ + "Broadcasting typically makes your code more concise and faster, so you should strive to use it where possible.\n", + "\n", + "##Numpy Documentation\n", + "\n", + "This brief overview has touched on many of the important things that you need to know about numpy, but is far from complete. Check out the [numpy reference](http://docs.scipy.org/doc/numpy/reference/) to find out much more about numpy.\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "# 2. Pandas" + ], + "metadata": { + "id": "I2vSI1n869dV" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "lIYdn1woOS1n" + }, + "outputs": [], + "source": [ + "import pandas as pd\n" + ] + }, + { + "cell_type": "code", + "source": [ + "#NBA results provided by FiveThirtyEight in a 17MB CSV file.\n", + "!wget https://raw.githubusercontent.com/fivethirtyeight/data/master/nba-elo/nbaallelo.csv\n" + ], + "metadata": { + "id": "7PXWPKpkY-Ha" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "nba = pd.read_csv(\"nbaallelo.csv\")\n", + "type(nba)" + ], + "metadata": { + "id": "Ex-IlzHNamIP" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "type(nba.columns)" + ], + "metadata": { + "id": "RmS7WPlhP1tL" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "type(nba.index)" + ], + "metadata": { + "id": "Uv11fn5gP3IP" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "nba.iloc[0:31:3, 0:14:2]" + ], + "metadata": { + "id": "HcxUgpYDP-Yn" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "my_col = ['_iscopy', 'lg_id', 'is_playoffs']" + ], + "metadata": { + "id": "wJLAZrSzQp1f" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "nba.loc[0:8:2, my_col]" + ], + "metadata": { + "id": "i7VlHbIsQaBd" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "len(nba)\n", + "nba.shape\n", + "nba.head()\n", + "nba.tail()\n", + "nba.info()\n", + "nba.describe()" + ], + "metadata": { + "id": "KOKnMIFaanb7" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "pd.set_option(\"display.max.columns\", None)\n", + "pd.set_option(\"display.precision\", 2)" + ], + "metadata": { + "id": "1PfCLSuBa21M" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "nba.describe(include=object)" + ], + "metadata": { + "id": "7PxpWGsLbJJq" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "nba.hist(\"pts\", by=\"game_result\")" + ], + "metadata": { + "id": "w1gbgFO5gsbu" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "nba[nba[\"fran_id\"]==\"Knicks\"].groupby(\"year_id\")[\"pts\"].sum().plot()" + ], + "metadata": { + "id": "mpczWpafOt4C" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "nba[\"fran_id\"].value_counts().head(10).plot(kind=\"bar\")" + ], + "metadata": { + "id": "8O3x9176O6E4" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "nba.boxplot(column='pts', by=\"game_result\")" + ], + "metadata": { + "id": "CLh1RRsFhXF9" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "nba[\"team_id\"].value_counts()" + ], + "metadata": { + "id": "MNDz27EFiBPS" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "nba[\"fran_id\"].value_counts()" + ], + "metadata": { + "id": "cCoAZgcJiWjh" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "It seems that a team named \"Lakers\" played 6024 games, but only 5078 of those were played by the Los Angeles Lakers. Find out who the other \"Lakers\" team is:\n", + "\n" + ], + "metadata": { + "id": "YgH9mFMIinyl" + } + }, + { + "cell_type": "code", + "source": [ + "nba.loc[nba[\"fran_id\"] == \"Lakers\", \"team_id\"].value_counts()" + ], + "metadata": { + "id": "usmtaXZuim0R" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "Indeed, the Minneapolis Lakers (\"MNL\") played 946 games. You can even find out when they played those games. For that, you’ll first define a column that converts the value of date_game to the datetime data type. Then you can use the min and max aggregate functions, to find the first and last games of Minneapolis Lakers:\n", + "\n" + ], + "metadata": { + "id": "OEJcB_zcjQfo" + } + }, + { + "cell_type": "code", + "source": [ + "nba[\"date_played\"] = pd.to_datetime(nba[\"date_game\"])\n", + "nba.loc[nba[\"team_id\"] == \"MNL\", \"date_played\"].min()\n", + "nba.loc[nba['team_id'] == 'MNL', 'date_played'].max()\n", + "nba.loc[nba[\"team_id\"] == \"MNL\", \"date_played\"].agg((\"min\", \"max\"))" + ], + "metadata": { + "id": "zM4OpAoXjSzz" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "It looks like the Minneapolis Lakers played between the years of 1948 and 1960. That explains why you might not recognize this team!" + ], + "metadata": { + "id": "b9cAmZCnjfuJ" + } + }, + { + "cell_type": "markdown", + "source": [ + " Find out how many points the Boston Celtics have scored during all matches contained in this dataset. Expand the code block below for the solution:" + ], + "metadata": { + "id": "caqpZ6pVj0KH" + } + }, + { + "cell_type": "code", + "source": [ + "nba.loc[nba[\"team_id\"] == \"BOS\", \"pts\"].sum()" + ], + "metadata": { + "id": "LVUCbOP3jfQ_" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## Querying Your Dataset" + ], + "metadata": { + "id": "9xuxqzI5oDXP" + } + }, + { + "cell_type": "code", + "source": [ + "# create a new DataFrame that contains only games played after 2010\n", + "current_decade = nba[nba[\"year_id\"] > 2010]\n", + "current_decade.shape" + ], + "metadata": { + "id": "95tTpM0PoK7I" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# select the rows where a specific field is not null\n", + "games_with_notes = nba[nba[\"notes\"].notnull()]\n", + "games_with_notes.shape" + ], + "metadata": { + "id": "TGm0y8AZoQUV" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "#filter your dataset and find all games where the home team’s name ends with \"ers\".\n", + "ers = nba[nba[\"fran_id\"].str.endswith(\"ers\")]\n", + "ers.shape" + ], + "metadata": { + "id": "B7t3W-SqoUk3" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "You can combine multiple criteria and query your dataset as well. To do this, be sure to put each one in parentheses and use the logical operators | and & to separate them.\n", + "\n" + ], + "metadata": { + "id": "t9fqCZooo1Og" + } + }, + { + "cell_type": "code", + "source": [ + "#Do a search for Baltimore games where both teams scored over 100 points. In order to see each game only once, you’ll need to exclude duplicates\n", + "nba[(nba[\"_iscopy\"] == 0) &\n", + " (nba[\"pts\"] > 100) &\n", + " (nba[\"opp_pts\"] > 100) &\n", + " (nba[\"team_id\"] == \"BLB\")\n", + " ]" + ], + "metadata": { + "id": "uIs64CIxoxqo" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "#In the spring of 1992, both teams from Los Angeles had to play a home game at another court. Query your dataset to find those two games. Both teams have an ID starting with \"LA\".\n", + "nba[(nba[\"_iscopy\"] == 0) &\n", + " (nba[\"team_id\"].str.startswith(\"LA\")) &\n", + " (nba[\"year_id\"]==1992) &\n", + " (nba[\"notes\"].notnull()) ]" + ], + "metadata": { + "id": "NgGpgA9tptRs" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### Grouping and Aggregating Your Data\n", + "A Series has more than twenty different methods for calculating descriptive statistics." + ], + "metadata": { + "id": "b2OYA8XQqubc" + } + }, + { + "cell_type": "code", + "source": [ + "points = nba[\"pts\"]\n", + "type(points)\n", + "points.sum()" + ], + "metadata": { + "id": "pXSUxtIlqt7i" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "nba.groupby(\"fran_id\", sort=False)[\"pts\"].sum()" + ], + "metadata": { + "id": "TnVHc6oWrEEE" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "nba[(nba[\"fran_id\"] == \"Spurs\") &\n", + " (nba[\"year_id\"] > 2010)].groupby([\"year_id\", \"game_result\"])[\"game_id\"].count()" + ], + "metadata": { + "id": "LomYmqM9rKVq" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### Manipulating Columns\n" + ], + "metadata": { + "id": "mX8Y8TRhref3" + } + }, + { + "cell_type": "code", + "source": [ + "df = nba.copy()\n", + "df.shape" + ], + "metadata": { + "id": "DIgPygR8rgp9" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "df[\"difference\"] = df.pts - df.opp_pts\n", + "df.shape" + ], + "metadata": { + "id": "zuwKnKKurjG9" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "df[\"difference\"].max()" + ], + "metadata": { + "id": "BEe1R8SBrllD" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "renamed_df = df.rename(columns={\"game_result\": \"result\", \"game_location\": \"location\"})" + ], + "metadata": { + "id": "QiTDpLAKrnwn" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "renamed_df.info()" + ], + "metadata": { + "id": "39naVS-irqa2" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "elo_columns = [\"elo_i\", \"elo_n\", \"opp_elo_i\", \"opp_elo_n\"]\n", + "df.drop(elo_columns, inplace=True, axis=1)" + ], + "metadata": { + "id": "qRIbUi7Arwex" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "df[\"date_game\"] = pd.to_datetime(df[\"date_game\"])" + ], + "metadata": { + "id": "M0CbYcpTr7aV" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "df[\"game_location\"].nunique()" + ], + "metadata": { + "id": "GVKUIUTYr_h7" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "df[\"game_location\"].value_counts()" + ], + "metadata": { + "id": "5xbiYpAwsAvs" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "df[\"game_location\"] = pd.Categorical(df[\"game_location\"])" + ], + "metadata": { + "id": "lzpl-UQ3sCYK" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "df[\"game_location\"].dtype" + ], + "metadata": { + "id": "-tnNMkxtsDoP" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### Cleaning Data\n" + ], + "metadata": { + "id": "LVa2BWvUsLUR" + } + }, + { + "cell_type": "code", + "source": [ + "rows_without_missing_data = nba.dropna()\n", + "rows_without_missing_data.shape" + ], + "metadata": { + "id": "yPA8WjQisN4o" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "data_without_missing_columns = nba.dropna(axis=1)\n", + "data_without_missing_columns.shape" + ], + "metadata": { + "id": "8_nrGPmxsPPR" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "data_with_default_notes = nba.copy()\n", + "data_with_default_notes[\"notes\"].fillna(value=\"no notes at all\",inplace=True)" + ], + "metadata": { + "id": "bGM6A5OqN6FA" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "nba[nba[\"pts\"] == 0]" + ], + "metadata": { + "id": "VRf6ibMpOTmo" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## Inconsistent Values\n", + "Sometimes a value would be entirely realistic in and of itself, but it doesn’t fit with the values in the other columns. You can define some query criteria that are mutually exclusive and verify that these don’t occur together." + ], + "metadata": { + "id": "jkmixmnPOZMk" + } + }, + { + "cell_type": "code", + "source": [ + "nba[(nba[\"pts\"] > nba[\"opp_pts\"]) & (nba[\"game_result\"] != 'W')].empty\n", + "nba[(nba[\"pts\"] < nba[\"opp_pts\"]) & (nba[\"game_result\"] != 'L')].empty" + ], + "metadata": { + "id": "gJsYvaO-OWA9" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "JXpXKWAi6dJg" + }, + "source": [ + "# 3. Matplotlib\n", + "\n", + "Matplotlib is a plotting library. In this section give a brief introduction to the `matplotlib.pyplot` module, which provides a plotting system similar to that of MATLAB.\n", + "\n", + "##Plotting\n", + "\n", + "The most important function in matplotlib is `plot`, which allows you to plot 2D data. Here is a simple example:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "KfjqxRT4JP2t", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 347 + }, + "outputId": "41e4bc44-df25-4d59-d371-ed70499e82bc" + }, + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Compute the x and y coordinates for points on a sine curve\n", + "x = np.arange(0, 3 * np.pi, 0.1)\n", + "y = np.sin(x)\n", + "\n", + "# Plot the points using matplotlib\n", + "plt.plot(x, y)\n", + "plt.show() # You must call plt.show() to make graphics appear." + ], + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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ucKGq2QCVUo7MxAiuwwlYc6NuK5uEeW+KBKa5REGlce4UZ2ohEYtwqXFwyQt9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\nDQCAJShtAAAsQWkDAGAJShsAAEv87y9XAQAAv2O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+ "text/plain": [ + "" + ] + }, + "metadata": { + "tags": [] + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "6LxgDV5XJVRU" + }, + "source": [ + "With just a little bit of extra work we can easily plot multiple lines at once, and add a title, legend, and axis labels:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "IVRdhmwQJZhD", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 376 + }, + "outputId": "4adfcf15-f29c-40da-8219-36f8eca08858" + }, + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Compute the x and y coordinates for points on sine and cosine curves\n", + "x = np.arange(0, 3 * np.pi, 0.1)\n", + "y_sin = np.sin(x)\n", + "y_cos = np.cos(x)\n", + "\n", + "# Plot the points using matplotlib\n", + "plt.plot(x, y_sin)\n", + "plt.plot(x, y_cos)\n", + "plt.xlabel('x axis label')\n", + "plt.ylabel('y axis label')\n", + "plt.title('Sine and Cosine')\n", + "plt.legend(['Sine', 'Cosine'])\n", + "plt.show()" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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YmBj27NnDnj17ePXVV4mLi2PdunUAbN26deqx73//++4O2+3SwucxPzKT8/1N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+ "text/plain": [ + "" + ] + }, + "metadata": { + "tags": [] + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UMBFUf92JfYY" + }, + "source": [ + "You can read much more about the `plot` function [in the documentation](http://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.plot).\n", + "\n", + "##Subplots\n", + "\n", + "You can plot different things in the same figure using the `subplot` function. Here is an example:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "ckAH_ANMJ5yn", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 362 + }, + "outputId": "8b431f7c-a5a8-4302-8ebd-34fb312bbad5" + }, + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Compute the x and y coordinates for points on sine and cosine curves\n", + "x = np.arange(0, 3 * np.pi, 0.1)\n", + "y_sin = np.sin(x)\n", + "y_cos = np.cos(x)\n", + "\n", + "# Set up a subplot grid that has height 2 and width 1,\n", + "# and set the first such subplot as active.\n", + "plt.subplot(2, 1, 1)\n", + "\n", + "# Make the first plot\n", + "plt.plot(x, y_sin)\n", + "plt.title('Sine')\n", + "\n", + "# Set the second subplot as active, and make the second plot.\n", + "plt.subplot(2, 1, 2)\n", + "plt.plot(x, y_cos)\n", + "plt.title('Cosine')\n", + "\n", + "# Show the figure.\n", + "plt.show()" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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KiggJCbnifS1lT2o+Zy6UM7BrK3p1Cm/R9xaOy8/bgwfGdsZiVZpauEr3MPEz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\n11VV7QAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": { + "tags": [] + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "YSELflXHJ-6E" + }, + "source": [ + "You can read much more about the `subplot` function [in the documentation](http://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.subplot)." + ] + } + ] +} \ No newline at end of file diff --git "a/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_3_Function.ipynb" "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_3_Function.ipynb" new file mode 100644 index 0000000..e474082 --- /dev/null +++ "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_3_Function.ipynb" @@ -0,0 +1,303 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "oa32Fuw2MUJP" + }, + "source": [ + "#Function Types" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "qWXyN4AQM1sE" + }, + "source": [ + "import numpy as np" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "sR930KE1MOJv", + "outputId": "3782485d-e1e5-4ef9-fc4e-392bf32524ed" + }, + "source": [ + "#trigonometry مثلثات\n", + "x = 0\n", + "np.sin(x)\n", + "np.cos(x)\n", + "np.tan(x)\n", + "np.arcsin(x)\n", + "np.arccos(x)\n", + "np.arctan(x)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "0.0" + ] + }, + "metadata": {}, + "execution_count": 59 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "VhP-pMvGNfO9", + "outputId": "dd1a9f2b-5252-41f8-fac9-7703995b9f3d" + }, + "source": [ + "#basics\n", + "x = 2\n", + "np.exp(x)\n", + "np.log(x)\n", + "np.log2(x)\n", + "np.sqrt(x)\n", + "y = -2.5\n", + "np.absolute(y)\n", + "np.negative(x)\n", + "np.ceil(y)\n", + "np.floor(y)\n", + "np.maximum(x, y)\n", + "np.minimum(x, y)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "-2.5" + ] + }, + "metadata": {}, + "execution_count": 60 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "snJvNRe5dHZV", + "outputId": "be3d1981-8ac8-49ac-b4f1-d4a7420d2bad" + }, + "source": [ + "#تابع مزدوج ساز (البته ویژه اعداد مختلط هست)\n", + "np.conjugate(1-2j)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "(1+2j)" + ] + }, + "metadata": {}, + "execution_count": 61 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "UMdbM84qPHXu", + "outputId": "0450d39a-e67c-4f2c-8c2d-b00bc23224bf" + }, + "source": [ + "#تابع باقیمانده (با حفظ علامت)\n", + "x=[13, -14]\n", + "y=5\n", + "np.fmod(x, y) #preserve sign" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([ 3, -4])" + ] + }, + "metadata": {}, + "execution_count": 62 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "QVa2-QjjeQ5w", + "outputId": "0af9129f-5506-4c69-c1b4-fc21ecf3b7ae" + }, + "source": [ + "x = np.array([-3, -2.6], dtype=np.int32)\n", + "x\n", + "np.fabs(x)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([3., 2.])" + ] + }, + "metadata": {}, + "execution_count": 63 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "CQjEe1J3e4lN", + "outputId": "081f0802-d993-463e-816d-30682cd14ed2" + }, + "source": [ + "#تابع وتر\n", + "x=[3, 8]\n", + "y=[4, 6]\n", + "np.hypot(x, y)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([ 5., 10.])" + ] + }, + "metadata": {}, + "execution_count": 64 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "NP3NE0FfdStu", + "outputId": "112f02ea-d7d6-4ee0-a7f5-f4b16351980e" + }, + "source": [ + "#hyperbolic هیپربولیک\n", + "x = 0\n", + "np.sinh(x)\n", + "np.cosh(x)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "1.0" + ] + }, + "metadata": {}, + "execution_count": 65 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 257 + }, + "id": "78siGUCV3Fux", + "outputId": "ea966160-2357-4668-be6b-6ee40c4840f8" + }, + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "# 100 linearly spaced numbers\n", + "x = np.linspace(-5,5,100)\n", + "\n", + "# the function, which is y = x^2 here\n", + "y = 1 / (1+np.exp(-x))\n", + "\n", + "# setting the axes at the centre\n", + "fig = plt.figure()\n", + "ax = fig.add_subplot(1, 1, 1)\n", + "ax.spines['left'].set_position('center')\n", + "ax.spines['bottom'].set_position('zero')\n", + "ax.spines['right'].set_color('none')\n", + "ax.spines['top'].set_color('none')\n", + "ax.xaxis.set_ticks_position('bottom')\n", + "ax.yaxis.set_ticks_position('left')\n", + "\n", + "# plot the function\n", + "plt.plot(x,y, 'r')\n", + "\n", + "# show the plot\n", + "plt.show()" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + } + ] +} \ No newline at end of file diff --git "a/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_4_Derivative_Gradient_Chain_Rule.ipynb" "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_4_Derivative_Gradient_Chain_Rule.ipynb" new file mode 100644 index 0000000..7d14f72 --- /dev/null +++ "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_4_Derivative_Gradient_Chain_Rule.ipynb" @@ -0,0 +1,351 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "#Derivative - Gradient - Chain Rule" + ], + "metadata": { + "id": "YFPB2XIcRy6P" + } + }, + { + "cell_type": "markdown", + "source": [ + "##Derivative Definition" + ], + "metadata": { + "id": "9yjg77KXR-Lz" + } + }, + { + "cell_type": "code", + "source": [ + "def get_derivative(func, x):\n", + " \"\"\"Compute the derivative of `func` at the location `x`.\"\"\"\n", + " h = 0.0001 # step size\n", + " return (func(x+h) - func(x)) / h # rise-over-run\n", + "\n", + "def f(x):\n", + " return x**2 # some test function f(x)=x^2\n", + "\n", + "x = 3 # the location of interest\n", + "computed = get_derivative(f, x)\n", + "actual = 2*x\n", + "\n", + "computed, actual # pretty close if you ask me..." + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "PUG9X-BhRydo", + "outputId": "2fb8d6fe-d948-41b1-bd47-ffe365a09fab" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "(6.000100000012054, 6)" + ] + }, + "metadata": {}, + "execution_count": 1 + } + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "qgh1gO3uRmj9", + "outputId": "18fcd6cb-4a91-4235-c7a7-35f058bca158" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Requirement already satisfied: sympy in /usr/local/lib/python3.7/dist-packages (1.7.1)\n", + "Requirement already satisfied: mpmath>=0.19 in /usr/local/lib/python3.7/dist-packages (from sympy) (1.2.1)\n" + ] + } + ], + "source": [ + "#SymPy Package\n", + "!pip install sympy" + ] + }, + { + "cell_type": "markdown", + "source": [ + "*SymPy* is a Python library for symbolic mathematics. It aims to become a full-featured computer algebra system (CAS) while keeping the code as simple as possible in order to be comprehensible and easily extensible. SymPy is written entirely in Python.\n", + "\n", + "\n", + "https://www.sympy.org/en/index.html" + ], + "metadata": { + "id": "Qea8Lg6rSccm" + } + }, + { + "cell_type": "code", + "source": [ + "import sympy as sym" + ], + "metadata": { + "id": "1QLgzDWyTGOC" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "x = sym.Symbol('x')" + ], + "metadata": { + "id": "gmx7ityzTVVl" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "sym.diff(x**5)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 38 + }, + "id": "8MRspqheTqQ8", + "outputId": "1b33ec26-b40c-44b0-9e37-e92c60d35618" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/latex": "$\\displaystyle 5 x y^{4}$", + "text/plain": [ + "5*x y**4" + ] + }, + "metadata": {}, + "execution_count": 11 + } + ] + }, + { + "cell_type": "code", + "source": [ + "sym.diff(x**2 * sym.cos(x))" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 38 + }, + "id": "2fddvQjUUhwr", + "outputId": "ae2b55c1-352b-4e53-99a2-43dd0448bb18" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/latex": "$\\displaystyle - x^{2} \\sin{\\left(x \\right)} + 2 x \\cos{\\left(x \\right)}$", + "text/plain": [ + "-x**2*sin(x) + 2*x*cos(x)" + ] + }, + "metadata": {}, + "execution_count": 15 + } + ] + }, + { + "cell_type": "code", + "source": [ + "sym.diff(1 / (1 + sym.exp(-x)))" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 60 + }, + "id": "q7sSfT8qUyBK", + "outputId": "d2a744bc-320a-4fe7-ea5c-d9acd855e730" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/latex": "$\\displaystyle \\frac{e^{- x}}{\\left(1 + e^{- x}\\right)^{2}}$", + "text/plain": [ + "exp(-x)/(1 + exp(-x))**2" + ] + }, + "metadata": {}, + "execution_count": 18 + } + ] + }, + { + "cell_type": "code", + "source": [ + "x, y = sym.symbols('x y')" + ], + "metadata": { + "id": "vKOeVEhGU9Hv" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "sym.diff(x**2 * y, x)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 38 + }, + "id": "feEKXtkkVRKE", + "outputId": "ab4ddc87-e696-4216-a24f-b5df22c3f337" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/latex": "$\\displaystyle 2 x y$", + "text/plain": [ + "2*x*y" + ] + }, + "metadata": {}, + "execution_count": 21 + } + ] + }, + { + "cell_type": "code", + "source": [ + "sym.diff(x**2 * y, y)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 38 + }, + "id": "gBrRboP1Vb5l", + "outputId": "d55f6797-ae6b-4883-90c3-6409e5eb322c" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/latex": "$\\displaystyle x^{2}$", + "text/plain": [ + "x**2" + ] + }, + "metadata": {}, + "execution_count": 22 + } + ] + }, + { + "cell_type": "code", + "source": [ + "x, y, z = sym.symbols('x y z')" + ], + "metadata": { + "id": "KPrBFqAkVdT0" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "sym.diff(x**2 * y * z**3, z)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 38 + }, + "id": "5QtF6T8HVjOq", + "outputId": "7bc26843-12a1-4875-a59e-64c6d33e36ad" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/latex": "$\\displaystyle 3 x^{2} y z^{2}$", + "text/plain": [ + "3*x**2*y*z**2" + ] + }, + "metadata": {}, + "execution_count": 24 + } + ] + }, + { + "cell_type": "code", + "source": [ + "sym.diff(x**2 * y * z**3, x)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 38 + }, + "id": "zUc8ncVJVoD3", + "outputId": "1dbd9e48-3644-46e2-ea9c-713b5d8b2615" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/latex": "$\\displaystyle 2 x y z^{3}$", + "text/plain": [ + "2*x*y*z**3" + ] + }, + "metadata": {}, + "execution_count": 25 + } + ] + } + ] +} \ No newline at end of file diff --git "a/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_5_Linear_Algebra_Vector.ipynb" "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_5_Linear_Algebra_Vector.ipynb" new file mode 100644 index 0000000..dd4aa22 --- /dev/null +++ "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_5_Linear_Algebra_Vector.ipynb" @@ -0,0 +1,841 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [], + "collapsed_sections": [ + "CpIUkLPdpWty", + "6aDC_flloKVh", + "zB8RZwcxpN0_", + "bmypQlQsySrB", + "XnLb60Ug3lIv", + "hJbCDs7b-o-t", + "4ki5VAdK_PfH", + "V-fktbjKDAxV", + "25iC-ovsFib8" + ] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "RBJORhnppTg3" + }, + "source": [ + "#Linear Algebra (Vector)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "AKJ8kRyEF5sR" + }, + "source": [ + "#Vectors Operations" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "-88IA-_JlIl5" + }, + "source": [ + "#کتابخانه‌های مورد نیاز\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from mpl_toolkits.mplot3d import Axes3D" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "CpIUkLPdpWty" + }, + "source": [ + "##Defining vectors" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "rW_tV41xlyHC" + }, + "source": [ + "#تعریف چند بردار نمونه\n", + "u = [1, 3, 2]\n", + "v = [1.5, 3]\n", + "w = np.array([5, 7, 8, 9])" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "tLRgk2dAmRQg", + "outputId": "18cae7e7-4915-4856-8215-4583ad5133e9" + }, + "source": [ + "#بررسی نوع متغیرها\n", + "print(type(u))\n", + "print(type(v))\n", + "print(type(w))\n", + "# print(u.shape) #'list' object has no attribute 'shape'\n", + "print(w.shape)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "\n", + "\n", + "(4,)\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "6aDC_flloKVh" + }, + "source": [ + "##Reading elements from an array" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "md32r1HOnGIu", + "outputId": "6c40727b-4592-4051-cdfe-1fbcb6b091a3" + }, + "source": [ + "#بررسی نحوه دسترسی به درایه‌ها\n", + "print(u[0])\n", + "print(u[-1])\n", + "print(w[0])\n", + "print(w[-1])" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "1\n", + "2\n", + "5\n", + "9\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "BEXAZtwUoqvg", + "outputId": "e7069e94-4d52-4ca7-c246-4402db424f7f" + }, + "source": [ + "u[1:]" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[3, 2]" + ] + }, + "metadata": {}, + "execution_count": 14 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "WkhfjI-cnCb7", + "outputId": "33a5b80c-429d-4a8f-d320-bba1c9441c6d" + }, + "source": [ + "w[0:-1]" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([5, 7, 8])" + ] + }, + "metadata": {}, + "execution_count": 15 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "s9Gnzb17oxyj", + "outputId": "f48ad44c-c58e-4c61-89ff-f35e885714a2" + }, + "source": [ + "w[-3:-1]" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([7, 8])" + ] + }, + "metadata": {}, + "execution_count": 16 + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "zB8RZwcxpN0_" + }, + "source": [ + "##Plotting a Vector" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 282 + }, + "id": "O-hoU6aZpzCf", + "outputId": "6e7b9c13-a647-4529-8c01-5ad7beffe078" + }, + "source": [ + "#simple plot\n", + "#u = [1, 3, 2]\n", + "plt.plot(u)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[]" + ] + }, + "metadata": {}, + "execution_count": 17 + }, + { + "output_type": "display_data", + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 269 + }, + "id": "5Pcnq_6JqNkl", + "outputId": "e54e7a73-4477-4b36-baf1-392b2ee27bc2" + }, + "source": [ + "#Ploting a 2D vector\n", + "plt.plot([0, v[0]], [0, v[1]])\n", + "plt.plot([-6,6] , [0,0] , 'b--')\n", + "plt.plot([0,0] , [-6,6] , 'b--')\n", + "plt.grid()\n", + "plt.axis((-6, 6, -6, 6))\n", + "plt.show()" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 319 + }, + "id": "iEIESbJExg2h", + "outputId": "205c996a-a58a-4204-bd15-f61d42f9f376" + }, + "source": [ + "#Ploting a 3D vector\n", + "fig = plt.figure()\n", + "ax = Axes3D(fig)\n", + "\n", + "plt.plot([0, u[0]], [0, u[1]], [0, u[2]])\n", + "\n", + "plt.plot([-6,6] , [0,0], [0,0] , 'b--')\n", + "plt.plot([0,0] , [-6,6], [0,0] , 'b--')\n", + "plt.plot([0,0], [0,0] , [-6,6] , 'b--')\n", + "plt.grid()\n", + "plt.show()" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "bmypQlQsySrB" + }, + "source": [ + "##Vector Addition" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 286 + }, + "id": "bORRlBt0yQiO", + "outputId": "98bd7a67-f92c-4b3a-93ad-2ffa9c1bcfd3" + }, + "source": [ + "#جمع به روش متوازی الاضلاع\n", + "v1 = np.array([3, 2])\n", + "v2 = np.array([0.5,4])\n", + "v3 = v1+v2\n", + "v3 = np.add(v1,v2)\n", + "print('V3 =' ,v3)\n", + "plt.plot([0,v1[0]] , [0,v1[1]] , 'r' , label = 'v1')\n", + "plt.plot([0,v2[0]] , [0,v2[1]], 'b' , label = 'v2')\n", + "plt.plot([0,v3[0]] , [0,v3[1]] , 'g' , label = 'v3')\n", + "plt.plot([-2, 8] , [0,0] , 'k--')\n", + "plt.plot([0,0] , [-2, 8] , 'k--')\n", + "plt.grid()\n", + "plt.axis((-2, 8, -2, 8))\n", + "plt.legend()\n", + "plt.show()" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "V3 = [3.5 6. ]\n" + ] + }, + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 269 + }, + "id": "hI2mJBauz7Z9", + "outputId": "b5b57db3-3c3b-4404-c017-ab43387a70e1" + }, + "source": [ + "#جمع به روش مثلث\n", + "plt.plot([0,v1[0]] , [0,v1[1]] , 'r' , label = 'v1')\n", + "plt.plot([0,v2[0]] + v1[0] , [0,v2[1]] + v1[1], 'b' , label = 'v2')\n", + "plt.plot([0,v3[0]] , [0,v3[1]] , 'g' , label = 'v3')\n", + "plt.plot([-2, 8] , [0,0] , 'k--')\n", + "plt.plot([0,0] , [-2, 8] , 'k--')\n", + "plt.grid()\n", + "plt.axis((-2, 8, -2, 8))\n", + "plt.legend()\n", + "plt.show()" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 286 + }, + "id": "iqm6VD3Y0Swd", + "outputId": "253a462c-3536-4412-968b-f8f1226171e7" + }, + "source": [ + "#تفاضل دو بردار\n", + "v3 = v2 - v1\n", + "print('V3 =' ,v3)\n", + "plt.plot([0,v1[0]] , [0,v1[1]] , 'r' , label = 'v1')\n", + "plt.plot([0,v2[0]] , [0,v2[1]], 'b' , label = 'v2')\n", + "plt.plot([v1[0],v2[0]] , [v1[1],v2[1]] , 'g' , label = 'v3')\n", + "plt.plot([0,v3[0]] , [0,v3[1]], 'g' , label = 'v2')\n", + "plt.plot([-4, 8] , [0,0] , 'k--')\n", + "plt.plot([0,0] , [-4, 8] , 'k--')\n", + "plt.grid()\n", + "plt.axis((-4, 8, -4, 8))\n", + "plt.legend()\n", + "plt.show()" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "V3 = [-2.5 2. ]\n" + ] + }, + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "XnLb60Ug3lIv" + }, + "source": [ + "##Scalar Multiplication" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 269 + }, + "id": "h4PQCPfh3Slh", + "outputId": "0494bf05-50d5-465f-b7b8-37b90917f1c1" + }, + "source": [ + "v1 = np.array([1, 3])\n", + "a, b, c = 0.5, 1.5, -1\n", + "v2, v3, v4 = (v1*a), (v1*b), (v1*c)\n", + "plt.plot([0,v1[0]] , [0,v1[1]] , 'r' , label = 'v1')\n", + "plt.plot([0,v2[0]] , [0,v2[1]], 'b--' , label = 'v2')\n", + "plt.plot([0,v3[0]] , [0,v3[1]], 'g:' , label = 'v3')\n", + "plt.plot([0,v4[0]] , [0,v4[1]], 'y--' , label = 'v4')\n", + "\n", + "plt.plot([-4,6] , [0,0] , 'k--')\n", + "plt.plot([0,0] , [-4,6] , 'k--')\n", + "plt.grid()\n", + "plt.axis((-4, 6, -4, 6))\n", + "plt.legend()\n", + "plt.show()" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "k2G6x_K-4cWS", + "outputId": "986850d4-866d-4e1e-e59e-a93dee123bd6" + }, + "source": [ + "u = np.array([1, 3, 2])\n", + "v = np.array([2, -1, 0])\n", + "#ضرب المان به المان elementwise\n", + "w = np.multiply(u, v)\n", + "print(w)\n", + "#ضرب داخلی\n", + "dotp = u@v\n", + "print(\" Dot product - \",dotp)\n", + "dotp = np.dot(u,v)\n", + "print(\" Dot product usign np.dot\",dotp)\n", + "dotp = np.inner(u,v)\n", + "print(\" Dot product usign np.inner\", dotp)\n", + "dotp = sum(np.multiply(u,v))\n", + "print(\" Dot product usign np.multiply & sum\",dotp)\n", + "dotp = np.matmul(u,v)\n", + "print(\" Dot product usign np.matmul\",dotp)\n", + "dotp = 0\n", + "for i in range(len(u)):\n", + " dotp = dotp + u[i]*v[i]\n", + "print(\" Dot product usign for loop\" , dotp)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[ 2 -3 0]\n", + " Dot product - -1\n", + " Dot product usign np.dot -1\n", + " Dot product usign np.inner -1\n", + " Dot product usign np.multiply & sum -1\n", + " Dot product usign np.matmul -1\n", + " Dot product usign for loop -1\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "hJbCDs7b-o-t" + }, + "source": [ + "##Length of Vector" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "F5tUgkTr-kRY", + "outputId": "5c932947-875d-4cbd-c709-cc0b7e6698da" + }, + "source": [ + "u = np.array([1, -2, 2])\n", + "length = np.sqrt(np.dot(u, u))\n", + "print(length)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "3.0\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "4ki5VAdK_PfH" + }, + "source": [ + "##Normalized Vector" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "9YeKnwr7_LZg", + "outputId": "9a4a05a3-e98b-4d6f-8ea6-ef1ba7d1e2c5" + }, + "source": [ + "v = np.array([1, -1, np.sqrt(2)])\n", + "print(v)\n", + "v_len = np.sqrt(np.dot(v, v))\n", + "print(v / v_len)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[ 1. -1. 1.41421356]\n", + "[ 0.5 -0.5 0.70710678]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "V-fktbjKDAxV" + }, + "source": [ + "##Angle between vectors" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 281 + }, + "id": "7vXouMNiBKQN", + "outputId": "189ccb10-b90c-44d8-ec8b-1967f5fbe29a" + }, + "source": [ + "v1 = np.array([3, -2])\n", + "v2 = np.array([4, 6])\n", + "ang = np.rad2deg(np.arccos( np.dot(v1,v2) / (np.linalg.norm(v1)*np.linalg.norm(v2))))\n", + "plt.plot([0,v1[0]] , [0,v1[1]] , 'r' , label = 'v1')\n", + "plt.plot([0,v2[0]]+v1[0] , [0,v2[1]]+v1[1], 'b' , label = 'v2')\n", + "plt.plot([-10,-10] , [0,0] , '--')\n", + "plt.plot([0,0] , [-10,10] , '--')\n", + "plt.grid()\n", + "plt.axis((-10, 10, -10, 10))\n", + "plt.legend()\n", + "plt.title('Angle between Vectors - %s' %ang)\n", + "plt.show()" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 336 + }, + "id": "P9zgybvSEq_d", + "outputId": "112c0f3a-e4ae-4c45-f1f0-a4178fb376c9" + }, + "source": [ + "#3d vectors\n", + "v1 = np.array([1,2,-1])\n", + "v2 = np.array([-2,-2,0])\n", + "fig = plt.figure()\n", + "ax = Axes3D(fig)\n", + "ax.plot([0, v1[0]],[0, v1[1]],[0, v1[2]],'b')\n", + "ax.plot([0, v2[0]],[0, v2[1]],[0, v2[2]],'r')\n", + "ang = np.rad2deg(np.arccos( np.dot(v1,v2) / (np.linalg.norm(v1)*np.linalg.norm(v2)) ))\n", + "plt.title('Angle between vectors: %s degrees.' %ang)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Text(0.5, 0.92, 'Angle between vectors: 150.0 degrees.')" + ] + }, + "metadata": {}, + "execution_count": 42 + }, + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "25iC-ovsFib8" + }, + "source": [ + "##Vector Cross Product" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "wpfSWx4YFSey", + "outputId": "c1d9ecf7-a2c8-453c-c763-60ae28221bb0" + }, + "source": [ + "v1 = np.array([1,2,3])\n", + "v2 = np.array([0,-1,-2])\n", + "print(\"\\nVector Cross Product ==> \\n\", np.cross(v1,v2))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Vector Cross Product ==> \n", + " [-1 2 -1]\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git "a/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_6_Linear_Algebra_Matrix.ipynb" "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_6_Linear_Algebra_Matrix.ipynb" new file mode 100644 index 0000000..a398b39 --- /dev/null +++ "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_6_Linear_Algebra_Matrix.ipynb" @@ -0,0 +1,1658 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [], + "collapsed_sections": [ + "6dJS0BLoGOEv", + "ma7OgB-mH_My", + "XaKdL6q3uMYh", + "1Achf8uAvUrN", + "l-5k3zs-vhpd", + "9msEMNkfGbis", + "2II3jSPoGmoh", + "162OundAIIUk", + "mZ-AENlIIg7a", + "s6BqjAznIuOE", + "4ATK73ybI39R", + "iM3seQM6JCym", + "JE-DkXIcJRl6", + "cIEBw85vJYtq", + "ysVObyauJymI", + "rN1EGGyHJ8kb", + "nSsxkZ61KM_d", + "skqlj97aKXqo", + "QXZnPOAEKgWq", + "PDICCplFKm2k", + "z_LHK_xUK3pF", + "0aFkdIZ_LCdi", + "v3FlKrutLkWu", + "mVePyDCKL3wT" + ] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "Cjn_KFKphbDZ" + }, + "source": [ + "#Linear Algebra (Matrix)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "xGbERqnUGLJV" + }, + "source": [ + "#Matrix Operations" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "6dJS0BLoGOEv" + }, + "source": [ + "##Matrix Creation" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Pf5Tc4vIdwop" + }, + "source": [ + "import numpy as np" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "b9WF0xRzFyTV", + "outputId": "5dfe5e67-3cf1-4e41-d45a-22e4921664bd" + }, + "source": [ + "A = np.array([[1,2,3,4] ,\n", + " [5,6,7,8] ,\n", + " [10 , 11 , 12 ,13] ,\n", + " [14,15,16,17]], dtype = (np.float16))\n", + "A" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([[ 1., 2., 3., 4.],\n", + " [ 5., 6., 7., 8.],\n", + " [10., 11., 12., 13.],\n", + " [14., 15., 16., 17.]], dtype=float16)" + ] + }, + "metadata": {}, + "execution_count": 8 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "sY4sxK66GX4t", + "outputId": "077b9eac-471c-4454-bb75-1e11853a537a" + }, + "source": [ + "print(type(A))\n", + "print(A.dtype)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "float16\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "WqRx7pHNGitP", + "outputId": "a4b79ab3-a516-40b9-e947-50c9fd4252aa" + }, + "source": [ + "B = np.array([[1.5,2.07,3,4] , [5,6,7,8] , [10 , 11 , 12 ,13] , [14,15,16,17]])\n", + "B" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([[ 1.5 , 2.07, 3. , 4. ],\n", + " [ 5. , 6. , 7. , 8. ],\n", + " [10. , 11. , 12. , 13. ],\n", + " [14. , 15. , 16. , 17. ]])" + ] + }, + "metadata": {}, + "execution_count": 10 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Ls-8a0I9GwSx", + "outputId": "a41b5e94-5a17-4df4-d469-0a07e0b67bea" + }, + "source": [ + "print(type(B))\n", + "print(B.dtype)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "float64\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "kqNzgDvZGz7G", + "outputId": "6b294135-a18e-4b5f-eb60-3887378e7d83" + }, + "source": [ + "A.shape" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "(4, 4)" + ] + }, + "metadata": {}, + "execution_count": 12 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "G_fDB_W1HBD3", + "outputId": "90f68215-4ff9-4de0-dc1b-4f85a6916491" + }, + "source": [ + "A[0]" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([1., 2., 3., 4.], dtype=float16)" + ] + }, + "metadata": {}, + "execution_count": 13 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "HzbeFFb-Hv1u", + "outputId": "28188795-f2f6-4595-a6ea-2072a8bec358" + }, + "source": [ + "A[0][0]" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "1.0" + ] + }, + "metadata": {}, + "execution_count": 14 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "tTQFbmwBHF0K", + "outputId": "46720ef0-5ab6-493e-8704-6b1905f3ea76" + }, + "source": [ + "A[1:3]" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([[ 5., 6., 7., 8.],\n", + " [10., 11., 12., 13.]], dtype=float16)" + ] + }, + "metadata": {}, + "execution_count": 15 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Slmu17pYHTCN", + "outputId": "70d73ffd-af51-4e4c-a053-9dce3c21abcf" + }, + "source": [ + "A[1:3, 1:4]" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([[ 6., 7., 8.],\n", + " [11., 12., 13.]], dtype=float16)" + ] + }, + "metadata": {}, + "execution_count": 16 + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ma7OgB-mH_My" + }, + "source": [ + "##Zeros & Ones Matrix" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "ysqwi2y_H5jV", + "outputId": "2f286aa6-c226-457b-afa2-0db4d93ba821" + }, + "source": [ + "#روش اول برای تولید ماترس صفر با ابعاد دلخواه\n", + "np.zeros(9).reshape(3,3)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([[0., 0., 0.],\n", + " [0., 0., 0.],\n", + " [0., 0., 0.]])" + ] + }, + "metadata": {}, + "execution_count": 17 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Nj8VHSwsIDLq", + "outputId": "595ccc41-30cc-41fe-ca4f-4e3a362377c3" + }, + "source": [ + "# روش دوم تولید ماتریس صفر\n", + "np.zeros((3,3))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([[0., 0., 0.],\n", + " [0., 0., 0.],\n", + " [0., 0., 0.]])" + ] + }, + "metadata": {}, + "execution_count": 18 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "LQbONYX-IPSk", + "outputId": "383b5f88-4301-4e7f-921a-7c65c61f15a3" + }, + "source": [ + "#روش اول برای تولید ماترس یک با ابعاد دلخواه\n", + "np.ones(9).reshape(3,3)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([[1., 1., 1.],\n", + " [1., 1., 1.],\n", + " [1., 1., 1.]])" + ] + }, + "metadata": {}, + "execution_count": 19 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "cTeRN4D3t-gp", + "outputId": "d17df67c-8a5a-4a1c-c4f7-44fff223fa2c" + }, + "source": [ + "# روش دوم تولید ماتریس یک\n", + "np.ones((3,3))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([[1., 1., 1.],\n", + " [1., 1., 1.],\n", + " [1., 1., 1.]])" + ] + }, + "metadata": {}, + "execution_count": 20 + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "XaKdL6q3uMYh" + }, + "source": [ + "##Matrix with Random Numbers" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "1311E00VuEL9", + "outputId": "870b1689-5fa7-4795-ed48-6b67b88c00c1" + }, + "source": [ + "# np.random.seed(seed=42)\n", + "X = np.random.random((3,3))\n", + "X" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([[0.39211752, 0.34317802, 0.72904971],\n", + " [0.43857224, 0.0596779 , 0.39804426],\n", + " [0.73799541, 0.18249173, 0.17545176]])" + ] + }, + "metadata": {}, + "execution_count": 36 + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "1Achf8uAvUrN" + }, + "source": [ + "##Identity Matrix" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "v2rfjL2KuSwz", + "outputId": "e9e86821-080f-4ed2-b336-42bdf5c7f572" + }, + "source": [ + "#ماتریس همانی مرتبه دلخواه\n", + "I = np.eye(9)\n", + "I" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([[1., 0., 0., 0., 0., 0., 0., 0., 0.],\n", + " [0., 1., 0., 0., 0., 0., 0., 0., 0.],\n", + " [0., 0., 1., 0., 0., 0., 0., 0., 0.],\n", + " [0., 0., 0., 1., 0., 0., 0., 0., 0.],\n", + " [0., 0., 0., 0., 1., 0., 0., 0., 0.],\n", + " [0., 0., 0., 0., 0., 1., 0., 0., 0.],\n", + " [0., 0., 0., 0., 0., 0., 1., 0., 0.],\n", + " [0., 0., 0., 0., 0., 0., 0., 1., 0.],\n", + " [0., 0., 0., 0., 0., 0., 0., 0., 1.]])" + ] + }, + "metadata": {}, + "execution_count": 37 + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "l-5k3zs-vhpd" + }, + "source": [ + "##Diagonal Matrix" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "M0NtcqyPvf7-", + "outputId": "36d80923-7acd-4bda-823f-9b9260f9ece3" + }, + "source": [ + "D = np.diag([1,2,3,4,5,6,7,8])\n", + "D" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([[1, 0, 0, 0, 0, 0, 0, 0],\n", + " [0, 2, 0, 0, 0, 0, 0, 0],\n", + " [0, 0, 3, 0, 0, 0, 0, 0],\n", + " [0, 0, 0, 4, 0, 0, 0, 0],\n", + " [0, 0, 0, 0, 5, 0, 0, 0],\n", + " [0, 0, 0, 0, 0, 6, 0, 0],\n", + " [0, 0, 0, 0, 0, 0, 7, 0],\n", + " [0, 0, 0, 0, 0, 0, 0, 8]])" + ] + }, + "metadata": {}, + "execution_count": 38 + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "9msEMNkfGbis" + }, + "source": [ + "##Traingular Matrices (lower & Upper triangular matrix)" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "HNzyaLLuwCM7", + "outputId": "35efc77c-09f7-4375-d27c-c81d180cacdf" + }, + "source": [ + "M = np.random.randn(5,5)\n", + "U = np.triu(M)\n", + "L = np.tril(M)\n", + "print(\"Matrix - \\n\" , M)\n", + "print(\"\\n\")\n", + "print(\"lower triangular matrix - \\n\" , L)\n", + "print(\"\\n\")\n", + "print(\"Upper triangular matrix - \\n\" , U)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Matrix - \n", + " [[-1.72766949 -0.39089979 0.57380586 0.33858905 -0.01183049]\n", + " [ 2.39236527 0.41291216 0.97873601 2.23814334 -1.29408532]\n", + " [-1.03878821 1.74371223 -0.79806274 0.02968323 1.06931597]\n", + " [ 0.89070639 1.75488618 1.49564414 1.06939267 -0.77270871]\n", + " [ 0.79486267 0.31427199 -1.32626546 1.41729905 0.80723653]]\n", + "\n", + "\n", + "lower triangular matrix - \n", + " [[-1.72766949 0. 0. 0. 0. ]\n", + " [ 2.39236527 0.41291216 0. 0. 0. ]\n", + " [-1.03878821 1.74371223 -0.79806274 0. 0. ]\n", + " [ 0.89070639 1.75488618 1.49564414 1.06939267 0. ]\n", + " [ 0.79486267 0.31427199 -1.32626546 1.41729905 0.80723653]]\n", + "\n", + "\n", + "Upper triangular matrix - \n", + " [[-1.72766949 -0.39089979 0.57380586 0.33858905 -0.01183049]\n", + " [ 0. 0.41291216 0.97873601 2.23814334 -1.29408532]\n", + " [ 0. 0. -0.79806274 0.02968323 1.06931597]\n", + " [ 0. 0. 0. 1.06939267 -0.77270871]\n", + " [ 0. 0. 0. 0. 0.80723653]]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "2II3jSPoGmoh" + }, + "source": [ + "##Concatenate Matrices" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "m0cbByCIGkD9", + "outputId": "fa8a4c5a-e3bb-4eff-c111-4e33a0de597e" + }, + "source": [ + "A = np.array([[1,2] , [3,4] ,[5,6]])\n", + "B = np.array([[1,1] , [1,1]])\n", + "C = np.concatenate((A,B))\n", + "C , C.shape , type(C) , C.dtype" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "(array([[1, 2],\n", + " [3, 4],\n", + " [5, 6],\n", + " [1, 1],\n", + " [1, 1]]), (5, 2), numpy.ndarray, dtype('int64'))" + ] + }, + "metadata": {}, + "execution_count": 48 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "eR47s6PlHkcM", + "outputId": "ae2b55b8-6db2-416c-adb0-747a27cb0f59" + }, + "source": [ + "M = np.full((3,2) , 8)\n", + "print(M)\n", + "print(M.shape)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[[8 8]\n", + " [8 8]\n", + " [8 8]]\n", + "(3, 2)\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "8UTKMpmzH1aT", + "outputId": "481d76bd-c98d-4aa5-c43d-801eb9a7f74b" + }, + "source": [ + "M = M.flatten()\n", + "print(M)\n", + "print(M.shape)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[8 8 8 8 8 8]\n", + "(6,)\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "162OundAIIUk" + }, + "source": [ + "##Matrix Addition" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "5-xqDzlQH5Bh", + "outputId": "cd969196-d113-4035-9a72-ddc3cda3f4a4" + }, + "source": [ + "M = np.array([[1,2,3],[4,-3,6],[7,8,0]])\n", + "N = np.array([[1,1,1],[2,2,2],[3,3,3]])\n", + "print(\"\\n First Matrix (M) ==> \\n\", M)\n", + "print(\"\\n Second Matrix (N) ==> \\n\", N)\n", + "C = M+N\n", + "print(\"\\n Matrix Addition (M+N) ==> \\n\", C)\n", + "# OR\n", + "C = np.add(M,N,dtype = np.float64)\n", + "print(\"\\n Matrix Addition using np.add ==> \\n\", C)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + " First Matrix (M) ==> \n", + " [[ 1 2 3]\n", + " [ 4 -3 6]\n", + " [ 7 8 0]]\n", + "\n", + " Second Matrix (N) ==> \n", + " [[1 1 1]\n", + " [2 2 2]\n", + " [3 3 3]]\n", + "\n", + " Matrix Addition (M+N) ==> \n", + " [[ 2 3 4]\n", + " [ 6 -1 8]\n", + " [10 11 3]]\n", + "\n", + " Matrix Addition using np.add ==> \n", + " [[ 2. 3. 4.]\n", + " [ 6. -1. 8.]\n", + " [10. 11. 3.]]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "mZ-AENlIIg7a" + }, + "source": [ + "##Matrix subtraction" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Dt90Zt0VIinX", + "outputId": "7c9e17ff-e66c-4dc9-c34a-dcf61966aa58" + }, + "source": [ + "#********************************************************#\n", + "M = np.array([[1,2,3],[4,-3,6],[7,8,0]])\n", + "N = np.array([[1,1,1],[2,2,2],[3,3,3]])\n", + "print(\"\\n First Matrix (M) ==> \\n\", M)\n", + "print(\"\\n Second Matrix (N) ==> \\n\", N)\n", + "C = M-N\n", + "print(\"\\n Matrix Subtraction (M-N) ==> \\n\", C)\n", + "# OR\n", + "C = np.subtract(M,N,dtype = np.float64)\n", + "print(\"\\n Matrix Subtraction using np.subtract ==> \\n\", C)\n", + "#********************************************************#" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + " First Matrix (M) ==> \n", + " [[ 1 2 3]\n", + " [ 4 -3 6]\n", + " [ 7 8 0]]\n", + "\n", + " Second Matrix (N) ==> \n", + " [[1 1 1]\n", + " [2 2 2]\n", + " [3 3 3]]\n", + "\n", + " Matrix Subtraction (M-N) ==> \n", + " [[ 0 1 2]\n", + " [ 2 -5 4]\n", + " [ 4 5 -3]]\n", + "\n", + " Matrix Subtraction using np.subtract ==> \n", + " [[ 0. 1. 2.]\n", + " [ 2. -5. 4.]\n", + " [ 4. 5. -3.]]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "s6BqjAznIuOE" + }, + "source": [ + "##Matrices Scalar Multiplication" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "HjeiPaZjIsA_", + "outputId": "8607f232-4c65-4fb5-f67c-a5abc3a77428" + }, + "source": [ + "M = np.array([[1,2,3],[4,-3,6],[7,8,0]])\n", + "C = 10\n", + "print(\"\\n Matrix (M) ==> \\n\", M)\n", + "print(\"\\nMatrices Scalar Multiplication ==> \\n\", C*M)\n", + "# OR\n", + "print(\"\\nMatrices Scalar Multiplication ==> \\n\", np.multiply(C,M))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + " Matrix (M) ==> \n", + " [[ 1 2 3]\n", + " [ 4 -3 6]\n", + " [ 7 8 0]]\n", + "\n", + "Matrices Scalar Multiplication ==> \n", + " [[ 10 20 30]\n", + " [ 40 -30 60]\n", + " [ 70 80 0]]\n", + "\n", + "Matrices Scalar Multiplication ==> \n", + " [[ 10 20 30]\n", + " [ 40 -30 60]\n", + " [ 70 80 0]]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "4ATK73ybI39R" + }, + "source": [ + "##Transpose of a matrix" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "0IsczGYMI3eW", + "outputId": "cb4c6124-4ccd-4c93-aff8-66b8267a2798" + }, + "source": [ + "M = np.array([[1,2,3],[4,-3,6]])\n", + "print(\"\\n Matrix (M) ==> \\n\", M)\n", + "print(\"\\nTranspose of M ==> \\n\", np.transpose(M))\n", + "# OR\n", + "print(\"\\nTranspose of M ==> \\n\", M.T)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + " Matrix (M) ==> \n", + " [[ 1 2 3]\n", + " [ 4 -3 6]]\n", + "\n", + "Transpose of M ==> \n", + " [[ 1 4]\n", + " [ 2 -3]\n", + " [ 3 6]]\n", + "\n", + "Transpose of M ==> \n", + " [[ 1 4]\n", + " [ 2 -3]\n", + " [ 3 6]]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "iM3seQM6JCym" + }, + "source": [ + "##Determinant of a matrix" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "7X7M56xAJAT7", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "2a9855da-f255-4467-8272-99e812fe096e" + }, + "source": [ + "M = np.array([[1,2,3],[4,-3,6],[7,8,0]])\n", + "print(\"\\n Matrix (M) ==> \\n\", M)\n", + "print(\"\\nDeterminant of M ==> \", np.linalg.det(M))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + " Matrix (M) ==> \n", + " [[ 1 2 3]\n", + " [ 4 -3 6]\n", + " [ 7 8 0]]\n", + "\n", + "Determinant of M ==> 195.0\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "JE-DkXIcJRl6" + }, + "source": [ + "##Rank of a matrix" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "pO9aEOunJU5x", + "outputId": "251ecd9a-d139-4c5c-9476-ad6bbe7aefa7" + }, + "source": [ + "M = np.array([[1,2,3],[4,-3,6],[7,8,0]])\n", + "print(\"\\n Matrix (M) ==> \\n\", M)\n", + "print(\"\\nRank of M ==> \", np.linalg.matrix_rank(M))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + " Matrix (M) ==> \n", + " [[ 1 2 3]\n", + " [ 4 -3 6]\n", + " [ 7 8 0]]\n", + "\n", + "Rank of M ==> 3\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "cIEBw85vJYtq" + }, + "source": [ + "##Trace of matrix" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "j3i0wF94JaIY", + "outputId": "cd63bd79-cba4-4161-b4b9-383161fbee29" + }, + "source": [ + "M = np.array([[1,2,3],[4,-3,6],[7,8,0]])\n", + "print(\"\\n Matrix (M) ==> \\n\", M)\n", + "print(\"\\nTrace of M ==> \", np.trace(M))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + " Matrix (M) ==> \n", + " [[ 1 2 3]\n", + " [ 4 -3 6]\n", + " [ 7 8 0]]\n", + "\n", + "Trace of M ==> -2\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ysVObyauJymI" + }, + "source": [ + "##Inverse of matrix A" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "NOuQTKmuJw3N", + "outputId": "eb9b401f-d537-466e-8b3a-911e50d0b895" + }, + "source": [ + "M = np.array([[1,2,3],[4,-3,6],[7,8,0]])\n", + "print(\"\\n Matrix (M) ==> \\n\", M)\n", + "print(\"\\nInverse of M ==> \\n\", np.linalg.inv(M))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + " Matrix (M) ==> \n", + " [[ 1 2 3]\n", + " [ 4 -3 6]\n", + " [ 7 8 0]]\n", + "\n", + "Inverse of M ==> \n", + " [[-0.24615385 0.12307692 0.10769231]\n", + " [ 0.21538462 -0.10769231 0.03076923]\n", + " [ 0.27179487 0.03076923 -0.05641026]]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "rN1EGGyHJ8kb" + }, + "source": [ + "##Matrix Multiplication (pointwise multiplication)" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "YX4OJngOJ7vG", + "outputId": "4b9c9958-6f70-4e81-c5be-23a8f7b1c1ac" + }, + "source": [ + "M = np.array([[1,2,3],[4,-3,6],[7,8,0]])\n", + "N = np.array([[1,1,1],[2,2,2],[3,3,3]])\n", + "print(\"\\n First Matrix (M) ==> \\n\", M)\n", + "print(\"\\n Second Matrix (N) ==> \\n\", N)\n", + "print(\"\\n Point-Wise Multiplication of M & N ==> \\n\", M*N)\n", + "# OR\n", + "print(\"\\n Point-Wise Multiplication of M & N ==> \\n\", np.multiply(M,N))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + " First Matrix (M) ==> \n", + " [[ 1 2 3]\n", + " [ 4 -3 6]\n", + " [ 7 8 0]]\n", + "\n", + " Second Matrix (N) ==> \n", + " [[1 1 1]\n", + " [2 2 2]\n", + " [3 3 3]]\n", + "\n", + " Point-Wise Multiplication of M & N ==> \n", + " [[ 1 2 3]\n", + " [ 8 -6 12]\n", + " [21 24 0]]\n", + "\n", + " Point-Wise Multiplication of M & N ==> \n", + " [[ 1 2 3]\n", + " [ 8 -6 12]\n", + " [21 24 0]]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "nSsxkZ61KM_d" + }, + "source": [ + "##Matrix dot product" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "bQT1pcjBKLJD", + "outputId": "42f57f0e-bc9e-49e0-fd05-77b2d3774689" + }, + "source": [ + "M = np.array([[1,2,3],[4,-3,6],[7,8,0]])\n", + "N = np.array([[1,1,1],[2,2,2],[3,3,3]])\n", + "print(\"\\n First Matrix (M) ==> \\n\", M)\n", + "print(\"\\n Second Matrix (N) ==> \\n\", N)\n", + "print(\"\\n Matrix Dot Product ==> \\n\", M@N)\n", + "# OR\n", + "print(\"\\n Matrix Dot Product using np.matmul ==> \\n\", np.matmul(M,N))\n", + "# OR\n", + "print(\"\\n Matrix Dot Product using np.dot ==> \\n\", np.dot(M,N))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + " First Matrix (M) ==> \n", + " [[ 1 2 3]\n", + " [ 4 -3 6]\n", + " [ 7 8 0]]\n", + "\n", + " Second Matrix (N) ==> \n", + " [[1 1 1]\n", + " [2 2 2]\n", + " [3 3 3]]\n", + "\n", + " Matrix Dot Product ==> \n", + " [[14 14 14]\n", + " [16 16 16]\n", + " [23 23 23]]\n", + "\n", + " Matrix Dot Product using np.matmul ==> \n", + " [[14 14 14]\n", + " [16 16 16]\n", + " [23 23 23]]\n", + "\n", + " Matrix Dot Product using np.dot ==> \n", + " [[14 14 14]\n", + " [16 16 16]\n", + " [23 23 23]]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "skqlj97aKXqo" + }, + "source": [ + "##Matrix Division" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "mThzsE9EKVva", + "outputId": "187993ea-6e43-45ba-b51a-6c5c75acd220" + }, + "source": [ + "M = np.array([[1,2,3],[4,-3,6],[7,8,0]])\n", + "N = np.array([[1,1,1],[2,2,2],[3,3,3]])\n", + "print(\"\\n First Matrix (M) ==> \\n\", M)\n", + "print(\"\\n Second Matrix (N) ==> \\n\", N)\n", + "print(\"\\n Matrix Division (M/N) ==> \\n\", M/N)\n", + "# OR\n", + "print(\"\\n Matrix Division (M/N) ==> \\n\", np.divide(M,N))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + " First Matrix (M) ==> \n", + " [[ 1 2 3]\n", + " [ 4 -3 6]\n", + " [ 7 8 0]]\n", + "\n", + " Second Matrix (N) ==> \n", + " [[1 1 1]\n", + " [2 2 2]\n", + " [3 3 3]]\n", + "\n", + " Matrix Division (M/N) ==> \n", + " [[ 1. 2. 3. ]\n", + " [ 2. -1.5 3. ]\n", + " [ 2.33333333 2.66666667 0. ]]\n", + "\n", + " Matrix Division (M/N) ==> \n", + " [[ 1. 2. 3. ]\n", + " [ 2. -1.5 3. ]\n", + " [ 2.33333333 2.66666667 0. ]]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QXZnPOAEKgWq" + }, + "source": [ + "##Sum of all elements in a matrix" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "ayKH4KjTKeoj", + "outputId": "71cebc33-fd61-437d-e936-d2891e143581" + }, + "source": [ + "N = np.array([[1,1,1],[2,2,2],[3,3,3]])\n", + "print(\"\\n Matrix (N) ==> \\n\", N)\n", + "print (\"Sum of all elements in a Matrix ==>\")\n", + "print (np.sum(N))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + " Matrix (N) ==> \n", + " [[1 1 1]\n", + " [2 2 2]\n", + " [3 3 3]]\n", + "Sum of all elements in a Matrix ==>\n", + "18\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "PDICCplFKm2k" + }, + "source": [ + "##Column-Wise Addition" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "u6PlnCogKq9Z", + "outputId": "4f96a249-6057-4742-e985-5938afec0408" + }, + "source": [ + "N = np.array([[1,1,1],[2,2,2],[3,3,3]])\n", + "print(\"\\n Matrix (N) ==> \\n\", N)\n", + "print (\"Column-Wise summation ==> \")\n", + "print (np.sum(N,axis=0))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + " Matrix (N) ==> \n", + " [[1 1 1]\n", + " [2 2 2]\n", + " [3 3 3]]\n", + "Column-Wise summation ==> \n", + "[6 6 6]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "z_LHK_xUK3pF" + }, + "source": [ + "##Row-Wise Addition" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "ZDBG2yWfK14J", + "outputId": "f0148f43-b58a-4555-ab2b-b0e52e24bfc6" + }, + "source": [ + "N = np.array([[1,1,1],[2,2,2],[3,3,3]])\n", + "print(\"\\n Matrix (N) ==> \\n\", N)\n", + "print (\"Row-Wise summation ==>\")\n", + "print (np.sum(N,axis=1))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + " Matrix (N) ==> \n", + " [[1 1 1]\n", + " [2 2 2]\n", + " [3 3 3]]\n", + "Row-Wise summation ==>\n", + "[3 6 9]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "0aFkdIZ_LCdi" + }, + "source": [ + "##Matrix Vector Multiplication" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "6efenROPLAkR", + "outputId": "04284fe1-1500-41f3-cf88-a3c297a66876" + }, + "source": [ + "A = np.array([[1,2,3] ,[4,5,6]])\n", + "v = np.array([10,20,30])\n", + "print (\"Matrix Vector Multiplication ==> \\n\" , A*v)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Matrix Vector Multiplication ==> \n", + " [[ 10 40 90]\n", + " [ 40 100 180]]\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "zkUbKIS2Lg0C", + "outputId": "d86604b5-61a9-4441-c667-bc51422f01d9" + }, + "source": [ + "A = np.array([[1,2,3] ,[4,5,6]])\n", + "v = np.array([10,20,30])\n", + "print (\"Matrix Vector Multiplication ==> \\n\" , A@v)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Matrix Vector Multiplication ==> \n", + " [140 320]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "v3FlKrutLkWu" + }, + "source": [ + "#Tensor" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "eA2ZhmupLh-_", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "0c132337-17af-4529-abaf-a54fb745ebcf" + }, + "source": [ + "# Create Tensor\n", + "T1 = np.array([\n", + " [[1,2,3], [4,5,6], [7,8,9]],\n", + " [[10,20,30], [40,50,60], [70,80,90]],\n", + " [[100,200,300], [400,500,600], [700,800,900]],\n", + " ])\n", + "T1" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([[[ 1, 2, 3],\n", + " [ 4, 5, 6],\n", + " [ 7, 8, 9]],\n", + "\n", + " [[ 10, 20, 30],\n", + " [ 40, 50, 60],\n", + " [ 70, 80, 90]],\n", + "\n", + " [[100, 200, 300],\n", + " [400, 500, 600],\n", + " [700, 800, 900]]])" + ] + }, + "metadata": {}, + "execution_count": 80 + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "mVePyDCKL3wT" + }, + "source": [ + "#Solving Equations $AX = B$\n", + "\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "OmnYkV76Lo6z", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "dcca19b6-24af-481d-94fe-cfff8111113e" + }, + "source": [ + "A = np.array([[1,2,3] , [4,5,6] , [7,8,8]])\n", + "A" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([[1, 2, 3],\n", + " [4, 5, 6],\n", + " [7, 8, 8]])" + ] + }, + "metadata": {}, + "execution_count": 81 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "jcANiZMgMQ-7", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "ce3fe5e3-38c0-4df5-925b-03a6b326f673" + }, + "source": [ + "B = np.random.random((3,1))\n", + "B" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([[0.01612921],\n", + " [0.59443188],\n", + " [0.55678519]])" + ] + }, + "metadata": {}, + "execution_count": 82 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "0t8wsqEKMTwn", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "fec21b34-379a-47af-c43d-1ace4e94ae8b" + }, + "source": [ + "X = np.dot(np.linalg.inv(A) , B)\n", + "X" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([[ 0.98535527],\n", + " [-1.40853707],\n", + " [ 0.61594936]])" + ] + }, + "metadata": {}, + "execution_count": 83 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "TM6OULmAMUcj", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "23241a26-d88c-48fa-c7ca-6aa10440f1e2" + }, + "source": [ + "X = np.matmul(np.linalg.inv(A) , B)\n", + "X" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([[ 0.98535527],\n", + " [-1.40853707],\n", + " [ 0.61594936]])" + ] + }, + "metadata": {}, + "execution_count": 84 + } + ] + } + ] +} \ No newline at end of file diff --git "a/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_7_Probability.ipynb" "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_7_Probability.ipynb" new file mode 100644 index 0000000..6c3ed49 --- /dev/null +++ "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_7_Probability.ipynb" @@ -0,0 +1,292 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "eulQcooEfN3k" + }, + "source": [ + "#Probabilities" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "M5k0o0h-6FiN", + "outputId": "55f17f13-f45e-4aff-f2d2-e348ec40bee9" + }, + "source": [ + "import math\n", + "#فاکتوریل\n", + "print(math.factorial(6))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "720\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "qR5OhE40rnHs" + }, + "source": [ + "#شبیه‌سازی پرتاب سکه\n", + "import random\n", + "def coin_trial():\n", + " heads = 0\n", + " for i in range(100):\n", + " if random.random() <= 0.5:\n", + " heads +=1\n", + " return heads\n", + "\n", + "def simulate(n):\n", + " trials = []\n", + " for i in range(n):\n", + " trials.append(coin_trial())\n", + " return(sum(trials)/n)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "r95sPRWisDJa", + "outputId": "e6c251a7-2af9-4a40-c3be-9a237da88f08" + }, + "source": [ + "simulate(10000)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "50.0707" + ] + }, + "metadata": {}, + "execution_count": 30 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 175 + }, + "id": "G0BUzw-a5Tmh", + "outputId": "c4ab3a1d-9ea1-44f0-e645-368506c992cc" + }, + "source": [ + "#یک مثال برای بررسی مفهوم احتمال\n", + "import pandas as pd\n", + "import numpy as np\n", + "\n", + "#create pandas DataFrame with raw data\n", + "df = pd.DataFrame({'gender': np.repeat(np.array(['Male', 'Female']), 150),\n", + " 'sport': np.repeat(np.array(['Baseball', 'Basketball', 'Football',\n", + " 'Soccer', 'Baseball', 'Basketball',\n", + " 'Football', 'Soccer']),\n", + " (34, 40, 58, 18, 34, 52, 20, 44))})\n", + "\n", + "#produce contingency table to summarize raw data\n", + "survey_data = pd.crosstab(index=df['gender'], columns=df['sport'], margins=True)\n", + "\n", + "#view contingency table\n", + "survey_data" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
    \n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
    sportBaseballBasketballFootballSoccerAll
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    " + ], + "text/plain": [ + "sport Baseball Basketball Football Soccer All\n", + "gender \n", + "Female 34 52 20 44 150\n", + "Male 34 40 58 18 150\n", + "All 68 92 78 62 300" + ] + }, + "metadata": {}, + "execution_count": 33 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "qvwkvj3GdMBP", + "outputId": "cc8e0a70-1d98-4026-cb65-d769001a056b" + }, + "source": [ + "#extract value in second row and first column\n", + "survey_data.iloc[2, 1]" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "92" + ] + }, + "metadata": {}, + "execution_count": 35 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "GC4R5wINdM1P", + "outputId": "bef7cfe8-b48f-4ccc-acb8-7e43da37a471" + }, + "source": [ + "#calculate probability of being male, given that individual prefers baseball\n", + "survey_data.iloc[1, 0] / survey_data.iloc[2, 0]" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "0.5" + ] + }, + "metadata": {}, + "execution_count": 36 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "yEDeQYwjdO-F", + "outputId": "2176c8d2-9d74-43da-8089-c0b9b59acca9" + }, + "source": [ + "#calculate probability of preferring basketball, given that individual is female\n", + "survey_data.iloc[0, 1] / survey_data.iloc[0, 4]" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "0.3466666666666667" + ] + }, + "metadata": {}, + "execution_count": 37 + } + ] + } + ] +} \ No newline at end of file diff --git "a/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_8_Probability_Distribution.ipynb" "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_8_Probability_Distribution.ipynb" new file mode 100644 index 0000000..41fc32d --- /dev/null +++ "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___0_8_Probability_Distribution.ipynb" @@ -0,0 +1,757 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "yYvYexd2GXwT" + }, + "source": [ + "#Probability Distribution" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "WFK0xl2dQ3FN" + }, + "source": [ + "# for inline plots in jupyter\n", + "%matplotlib inline\n", + "# import matplotlib\n", + "import matplotlib.pyplot as plt\n", + "# import seaborn\n", + "import seaborn as sns\n", + "# settings for seaborn plot sizes\n", + "sns.set(rc={'figure.figsize':(4,4)})\n", + "import numpy as np\n" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Eg5IgYWbfdkj" + }, + "source": [ + "##Expected Value and Variance" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "pNdX9qPPvX1O" + }, + "source": [ + "p = np.ones(6) * 1/6" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "7FdiuRDOwABE" + }, + "source": [ + "x = np.array([1, 2, 3, 4, 5, 6])" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "nWEa4PBXwc0V", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "7cd7db35-f4a0-41ec-9e57-1b22998391f5" + }, + "source": [ + "E_x = np.matmul(p, x)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "3.5" + ] + }, + "metadata": {}, + "execution_count": 11 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "2unTC-Xew5nD", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "aae9287b-5443-420e-9c53-ca91869fa5ce" + }, + "source": [ + "E_x2 = np.matmul(p, np.square(x))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "15.166666666666666" + ] + }, + "metadata": {}, + "execution_count": 13 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "78NVgXbvxXMO", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "4afa5e56-b461-4664-99ab-62bb8240aecc" + }, + "source": [ + "var_x = E_x2 - np.square(E_x)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "2.916666666666666" + ] + }, + "metadata": {}, + "execution_count": 12 + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "IYyNMrcfTfGX" + }, + "source": [ + "##Bernoulli Distribution" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "sK_IpQStTiPE" + }, + "source": [ + "![image.png](data:image/png;base64,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)" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "4j_PgpeHTk9I" + }, + "source": [ + "from scipy.stats import bernoulli\n", + "data_bern = bernoulli.rvs(size=1000,p=0.6)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 357 + }, + "id": "Z1SVYyAwTnJv", + "outputId": "8e1294af-119e-4267-e409-639907d1fc40" + }, + "source": [ + "ax= sns.distplot(data_bern,\n", + " kde=False,\n", + " color=\"r\",\n", + " hist_kws={\"linewidth\": 9,'alpha':0.3})\n", + "ax.set(xlabel='Bernoulli Distribution', ylabel='Frequency')" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.7/dist-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n", + " warnings.warn(msg, FutureWarning)\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[Text(0, 0.5, 'Frequency'), Text(0.5, 0, 'Bernoulli Distribution')]" + ] + }, + "metadata": {}, + "execution_count": 25 + }, + { + "output_type": "display_data", + "data": { + "image/png": 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qtaioqMDo0aNx8OBBbNmyBX/84x89mZGI/IjsLZ2FCxfi2WefRX5+PgICrnTVwIED8dVXX3ksHBH5H9ml891332HcuHEAfjp5V2hoKBobGz2TjIj8kuzSiY2NxYkTJ5ymHTt2jB+ZE5FbZB/TycjIwFNPPYUJEybAarViw4YN2Lx5MxYvXuzJfETkZ2Rv6dx7773YuHEjzGYzBg4ciP/9739Ys2YNhg4d6sl8RORnZG3p2Gw2JCUlYdeuXVi4cKGHIxGRP5O1paPRaKDRaHjQmIjaTfYxnUcffRTPPfccnnrqKXTv3t3p1KU9e/b0SDgi8j9tls65c+cQGRnpOGD8xRdftLj2ldzrXhERtVk6SUlJ+O9//+u47tXs2bORm5vr8WBE5J/aPKbT/LztBw8e9FgYIvJ/bZbOz4/dAC1LiIjIHW3uXtlsNnz55ZeOsml+GwAGDx7suYRE5FfaLB29Xo8XX3zRcTs8PNzptkqlwt69ez2Tjoj8Tpuls2/fPhE5iOgG0a5rmRMRuUtI6dTU1ODJJ59EUlISUlNT8fTTT8NsvnK51CNHjmDs2LFISkrClClTUF1d7bifqzEi8k1CSkelUmHatGkoKCjAjh070LNnT6xcuRJ2ux3z5s1DZmYmCgoKYDQasXLlSgBwOUZEvktI6YSHh2PQoEGO23feeSfKy8tx4sQJBAUFwWg0AgAmTJiA/Px8AHA5RkS+S/gxHbvdjvfeew8JCQkwmUyIiYlxjOl0Otjtdpw/f97lGBH5Ltk/+OwoixcvRmhoKCZNmoRPP/3U48vT6zu3OU9jlQWdOmmdpmmtIZ6K1KbAZlkAICws1AtJ3BMZ2cXbEdqk5IxKWw8Bz6yLQksnJycHpaWlWL9+PdRqNQwGA8rLyx3jZrMZarUa4eHhLsfcUV19CXa787eotVqN0+1gAHV1TU7TLLUWt5bTkUICnVc0rQ6orXW+1E9Tk01kpDZFRnbBuXMXvR3DJaVlVPp6CFzfuqhWq1z+sRe2e/WHP/wBJ06cQG5uLrTaK+3Zt29fNDQ04NChQwCAzZs3Izk5uc0xIvJdQrZ0vv32W2zYsAG9evXChAkTAAA9evRAbm4uVqxYgaysLDQ2NiI2NhavvvoqAECtVrc6RkS+SyX5+S84Ze1eWS2oKTM5TbNUmT2erTUh3XROtyN6GtDQbDOXu1fuU1pGpa+HwPWti4rZvSIiAlg6RCQYS4eIhGLpEJFQLB0iEoqlQ0RCsXSISCiWDhEJxdIhIqFYOkQkFEuHiIRi6RCRUCwdIhKKpUNEQrF0iEgolg4RCcXSISKhWDpEJBRLh4iEYukQkVAsHSISiqVDREKxdIhIKJYOEQnF0iEioVg6RCQUS4eIhBJSOjk5OUhISEBcXBxOnz7tmF5SUoK0tDQkJSUhLS0NZ86ckTVGRL5LSOkkJiZi06ZNiI2NdZqelZWF9PR0FBQUID09HZmZmbLGiMh3CSkdo9EIg8HgNK26uhpFRUVISUkBAKSkpKCoqAhms9nlGBH5tgBvLdhkMiE6OhoajQYAoNFoEBUVBZPJBEmSWh3T6XRuLUev79zmPI1VFnTqpHWaprWGuLWcjhTYLAsAhIWFeiGJeyIju3g7QpuUnFFp6yHgmXXRa6UjSnX1JdjtktM0rVbjdDsYQF1dk9M0S63F09FaFRLovKJpdUBtbb3TtKYmm8hIbYqM7IJz5y56O4ZLSsuo9PUQuL51Ua1Wufxj77XSMRgMqKiogM1mg0ajgc1mQ2VlJQwGAyRJanWMiHyb1z4y1+v1iI+PR15eHgAgLy8P8fHx0Ol0LseIyLepJEmS2p6tfZYsWYLdu3ejqqoKERERCA8Px86dO1FcXIwFCxbgwoUL6Nq1K3JycnDrrbcCgMsxd8javbJaUFNmcppmqfLeQeuQbs7lGtHTgIZmm7ncvXKf0jIqfT0Erm9dbGv3SkjpeBNLRwylvaGvRWkZlb4eAp4pHX4jmYiEYukQkVAsHSISiqVDREKxdIhIKJYOEQnF0iEioVg6RCQUS4eIhGLpEJFQLB0iEoqlQ0RCsXSISCiWDhEJxdIhIqFYOkQkFEuHiIRi6RCRUCwdIhKKpUNEQrF0iEgolg4RCcXSISKhWDpEJBRLh4iECvB2AKVqfmVDb1Jp1AgI0LQ9o5c1v2KlEikpY4v/p9aW8yhpPewoit/SKSkpQVpaGpKSkpCWloYzZ854OxIRtYPiSycrKwvp6ekoKChAeno6MjMzvR2JiNpB0btX1dXVKCoqwttvvw0ASElJweLFi2E2m6HTydvsVKtVLaapVKrmM0GjDWx3Xo9Rq9E8covnoABKzNSckjK2iKL09RD4/3VR1WyS69vNKbp0TCYToqOjodFc2ffVaDSIioqCyWSSXToREZ1kzBWCSF1EO5J6ntbbAWTo2jXE2xHapOiMoUGKXw8BIKid91f87hUR+RdFl47BYEBFRQVsNhsAwGazobKyEgaDwcvJiOh6Kbp09Ho94uPjkZeXBwDIy8tDfHy87F0rIlIelSRJkrdDuFJcXIwFCxbgwoUL6Nq1K3JycnDrrbd6OxYRXSfFlw4R+RdF714Rkf9h6RCRUCwdIhKKpUNEQt0wpSPnh6M2mw2LFi3CfffdhxEjRuDDDz9UXMbc3FyMGTMGqampePDBB/Gvf/1LUfmu+v7779GvXz/k5OQIywfIz7hr1y6kpqYiJSUFqampqKqqUky+6upqTJ8+HampqRg1ahQWLlyIy5cvC8mXk5ODhIQExMXF4fTp09ecp93vE+kGMXnyZGnr1q2SJEnS1q1bpcmTJ7eYZ8uWLdKUKVMkm80mVVdXS8OGDZPKysoUlbGwsFCqr6+XJEmSvvnmG2nAgAGSxWJRTD5JkqTLly9LkyZNkubMmSO98sorQrJdJSfjsWPHpFGjRkmVlZWSJEnShQsXpIaGBsXkW7JkieN1a2pqksaPHy/t3LlTSL6DBw9K5eXl0r333iudOnXqmvO0931yQ2zpXP3haEpKCoArPxwtKiqC2Wx2mm/Xrl146KGHoFarodPpcN999yE/P19RGYcNG4aQkCu/H4qLi4MkSTh//rxi8gHAm2++iXvuuQe9evXyeK7ryfjOO+9gypQpiIyMBAB06dIFQUHt/UVRx+VTqVSoq6uD3W5HU1MTrFYroqOjPZ4PAIxGY5vf+G/v++SGKB1XPxxtPl9MTIzjtsFgwNmzZxWV8ee2bt2Km266Cd27d1dMvpMnT2L//v14/PHHPZ7pejMWFxejrKwMEydOxAMPPIB169ZBEvB1Nbn5Zs2ahZKSEgwdOtTxb8CAAR7PJ1d73yc3ROn4o//85z9YtWoVXnvtNW9HcbBarXj55ZexaNEixxtLiWw2G06dOoW3334bf/3rX1FYWIht27Z5O5ZDfn4+4uLisH//fhQWFuLQoUPCtrhFuCFKR+4PRw0GA8rLyx23TSaTkK0IdzICwOHDhzFv3jzk5uYK+0mInHznzp3DDz/8gOnTpyMhIQF//vOf8cEHH+Dll19WTEYAiImJQXJyMrRaLTp37ozExEQcO3ZMMfneffddjB07Fmq1Gl26dEFCQgIOHDjg8Xxytfd9ckOUjtwfjiYnJ+PDDz+E3W6H2WzGnj17kJSUpKiMx44dw/PPP4/Vq1fjl7/8pZBscvPFxMTgwIED2LdvH/bt24fHHnsMDz/8MBYvXqyYjMCVYyn79++HJEmwWq348ssv0adPH8Xk69GjBwoLCwEATU1N+Pe//43bbrvN4/nkavf7pEMOefuA7777Tho/frw0cuRIafz48VJxcbEkSZI0bdo06dixY5IkXfnUJTMzU0pMTJQSExOlzZs3Ky7jgw8+KA0aNEgaO3as49/JkycVk+/nVq9eLfzTKzkZbTabtGzZMik5OVkaPXq0tGzZMslmsykmX2lpqfT4449LKSkp0qhRo6SFCxdKVqtVSL7FixdLw4YNk+Lj46UhQ4ZIo0ePbpGvve8T/uCTiIS6IXaviEg5WDpEJBRLh4iEYukQkVAsHSISiqVDHSYuLg6lpaUAgAULFuD1118HABw6dKjd33eaNm0atmzZ0u6M18qTkJCAL774okMeGwDGjBmjqC/zKY2iL7ZHV94QVVVV0Gg0CAgIQP/+/bFo0SKfugyP0WhEQUFBq+NxcXEICQmBSqWCVqtFnz59kJaWhtGjRzvm2bhxo6xlxcXFYffu3bj55puvO487FixYgOjoaDz//POOaTt37uyQx/ZX3NLxAevXr8fhw4exf/9+6PX66/6Gr6hzslyPbdu24fDhw/jkk0/wwAMPIDs7G2vXru3w5Sj5NbhRsHR8SFBQEJKTk1FcXOyY1tTUhJycHNxzzz0YMmQIMjMz0dDQAAA4cOAAfv3rX+PNN9/E3XffjRdeeAFr1qxBRkYGfve736F///4YM2YMjh8/7ni84uJiTJ48GUajEWPGjMHevXsdY5MnT3Y6YdPHH3+MRx55pM3cV3PIodPpcP/992PhwoXYsGEDampqWiy7tLQUkyZNwoABAzBo0CA899xzAICJEycCAMaNG4f+/ftj165d13wNrpXn+PHjGD16NAYOHIgXXngBjY2NrT7Hq7uR77//Pnbs2IG33noL/fv3x4wZMwA47641NTVh6dKljl+LL126FE1NTU6vy5/+9CcMHjwYQ4cOxUcffSTrdfJlLB0fYrFYsGvXLvTr188xbeXKlSgpKcHWrVuxe/duVFZWIjc31zFeVVWF2tpa/OMf/3BsIe3btw9jxozBoUOHkJCQ4JhutVoxY8YM3H333fjiiy/w+9//HnPnzsX3338v9okCSExMhM1mu+YPMVetWoW7774bBw8eRGFhISZNmgQA2LRpE4Cftpqu7p5d6zVo7mp5fPrppygpKcG6devazJiWlobU1FRMnToVhw8fxvr161vM88Ybb+Do0aPYtm0btm/fjuPHjzs9dlVVFS5evIjCwkIsXboU2dnZqK2tbfsF8mEsHR8we/ZsGI1GGI1GfP7555g6dSoAQJIkfPDBB3jxxRcRHh6Ozp0746mnnnI6pqBWq/Hss89Cq9UiODgYADBgwAAMHz4cGo0G48aNw8mTJwEAR48eRX19PaZPnw6tVovBgwfj3nvv9coxisDAQERERFzzDRgQEIDy8nJUVlYiKCgIRqPR5WNd6zVobuLEiTAYDAgPD8fMmTM77Dnv2LEDs2fPhl6vh06nw+zZs7F9+3an5zJ79mwEBgZi+PDhCA0NRUlJSYcsW6l4INkH5ObmYsiQIbDZbNi7dy8mT56MnTt3Qq1Ww2Kx4MEHH3TMK0kS7Ha743ZERESLs+J169bN8d/BwcFobGzE5cuXUVlZie7du0Ot/ulvUUxMDCoqKjz47K7NarXCbDYjLCysxdi8efOwatUqjB8/HmFhYXjiiScwfvz4Vh/rWq9Bcz8/MB8TE4PKysrrD/8zlZWVTie8av7Y4eHhCAj46W0YEhKC+vr6Dlm2UrF0fIhGo8HIkSORmZmJr776CiNHjkRwcDB27tzZ6uksVSqV7MePiorC2bNnYbfbHcVjMpkcpx0NCQmBxWJxzO/Jk5nv3bsXGo0Gd9xxR4uxyMhILFmyBMCVj7+feOIJDBw4sNVPrOS8Bj8/e195eTmioqIAXHnOV4+RAVfOGeTOY0dFRaG8vNxxagqTyeR47BsVd698iCRJ2LNnDy5cuIDevXtDrVbjoYcewrJly1BdXQ0AqKiouO4rRNxxxx0IDg7Gxo0bYbVaHefGuXpsJD4+Hp9++iksFgtKS0vx97//vcOe21Xnz5/H9u3bkZ2djSeffBIREREt5vnkk08cp8cMCwuDSqVylGS3bt1QVlbm9nL/9re/4ezZszh//jzWr1/veM59+vTBt99+i2+++QaNjY1Ys2aN0/30ej1+/PHHVh93zJgxeOONN2A2m2E2m5Gbm4vU1FS38/kTbun4gBkzZjhO/xkbG4tXXnnF8Zfz6hkEH374YdTU1CA6OhqPPPIIhg0b5vZytFot1q9fj0WLFmHDhg2Ijo7GihUr0Lt3bwDAY489huPHj2PIkCGIi4tDampqh32pbty4cVCpVAgMDERcXBxeeOGFVt+cx48fx7Jly6PhShsAAACuSURBVHDp0iXo9Xq89NJL6NmzJwDg6aefxoIFC9DQ0IDs7Gzo9XpZy09JScGUKVNQWVmJxMREzJw5EwBwyy23YPbs2Xj88ccRHByMOXPm4P3333fcb/z48cjIyIDRaMRdd93V4gD0rFmzUFdXh7FjxwK4cgKsWbNmuf36+BOeT4eIhOLuFREJxdIhIqFYOkQkFEuHiIRi6RCRUCwdIhKKpUNEQrF0iEgolg4RCfV/QK4yeYtkTTcAAAAASUVORK5CYII=\n", + "text/plain": [ + "
    " + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "6QDfnaGLTJU7" + }, + "source": [ + "##Binomial Distribution\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NzUhcO4wTNU_" + }, + "source": [ + "![image.png](data:image/png;base64,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)" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "-P0kw17W_k7J", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "338f53cf-f8f7-4836-f452-491b833c419d" + }, + "source": [ + "from scipy.stats import binom\n", + "X = binom(10, 0.2) # Declare X to be a binomial random variable\n", + "print(X.pmf(3)) # P(X = 3)\n", + "print(X.cdf(4)) # P(X <= 4)\n", + "print(X.mean()) # E[X]\n", + "print(X.var()) # Var(X)\n", + "print(X.std()) # Std(X)\n", + "print(X.rvs()) # Get a random sample from X\n", + "print(X.rvs(10)) # Get 10 random samples form X" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "0.20132659200000022\n", + "0.9672065024000001\n", + "2.0\n", + "1.6\n", + "1.2649110640673518\n", + "1\n", + "[0 2 2 1 4 3 3 1 1 1]\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "YnZRlZmTTSYp" + }, + "source": [ + "data_binom = binom.rvs(n=10,p=0.8,size=10000)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 357 + }, + "id": "G8qe35ZyTUqX", + "outputId": "7f06b3f0-15b4-4977-c355-e0f04dfd9e0d" + }, + "source": [ + "ax = sns.distplot(data_binom,\n", + " kde=False,\n", + " color='r',\n", + " hist_kws={\"linewidth\": 9,'alpha':0.3})\n", + "ax.set(xlabel='Binomial Distribution', ylabel='Frequency')" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.7/dist-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n", + " warnings.warn(msg, FutureWarning)\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[Text(0, 0.5, 'Frequency'), Text(0.5, 0, 'Binomial Distribution')]" + ] + }, + "metadata": {}, + "execution_count": 34 + }, + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
    " + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "MM32EDf0AidZ" + }, + "source": [ + "##Geometric Distribution" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "KxVMxcWdAhtO", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "70f23c17-d9f1-43aa-ca78-ff48b51fb6a4" + }, + "source": [ + "from scipy import stats\n", + "X = stats.geom(0.75) # Declare X to be a geometric random variable\n", + "print(X.pmf(3)) # P(X = 3)\n", + "print(X.rvs()) # Get a random sample from Y" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "0.046875\n", + "1\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Zf9g1TswSk8j" + }, + "source": [ + "##Poisson Distribution\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "mBJFwu92SrjS" + }, + "source": [ + "![image.png](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASYAAABSCAYAAAD5AHm5AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAyoSURBVHhe7Z3JddTAFoYF5+0ZVqwMJACGAJgWLG1IwAwBYCAAM+wZA2A8bDEQAIYEDCSAgQAYAgC/+sr6+5XrSW0Z91BN/985Ot1dkko1/rr3qmTvWg9UxhhTELvrT2OMKQYLkzGmOCxMxpjisDAZY4rDwmSMKQ4LkzGmOCxMxpjisDAZY4rDwmSMKQ4LkzGmOCxMxpjisDAZY4rDwmSMKQ4LkzGmOCxMxpjisDAZY4rDwmSMKQ4LkzGmOCxMxpjisDAZY4rDwmSMKQ7/lxRjTCvv3r2r3r9/Xx08eLC6ePFinTp8bDEZY1o5dOhQ9eHDh+rjx491ymiwMBljWkGYvnz5Up08ebJOGQ125YyZUu7fv1/9/Pmzmp+fr44dO1anbob9+/btq378+FHt3bs3unazs7Px+zCxxWTMlELM6NWrV9WZM2eiADWxsrJSHT16NH6/evVqPB5BGzYWJmOmFKyexcXFKErLy8t16mawkHDnnjx50rOwzp07V+8dHnbljJliEBqEB1cO6ygHtw045ubNm73fw8YWkzFTDFYTMSYso7W1tTp1A0Tr06dPcd+pU6eiMJHG72FjYTJmypFrlrtzLBEgvqRAN1YTMaZhB77BwmTMlHP+/Pm4gPL58+d1ygZYRwS8gUA5UR9EaRTunGNMxkw5LAU4fvx4XK+0urraunRglNhiMmaKQZRYLjA3Nxd/8/StBCxMxkw4xH1wr7b72giuGqK0sLAQlwLMzMxUb968qfeOFwuTMRMOwWuEaTsLH7GUTp8+XR05cqS6du1atWvXrhhPwp1D6MaNhcmYfwCtysYK2gpZSgS8nz59WqduBMHhnxQmxdL57BJXx/xkjURO1/ON2Yp8HD1+/Li6ceNG/evfAIuJJ2ZtK7hTmG+0SR5PYjkAL+u+fv26k8ANk4EIEwqLWdi2ocRNDYY5iRmaKzQNtnv37rixZN5scO/evU4DryvkN4r3nsYFdcNFYRylQnTp0qXosiBQ/xLMJURlKy5cuBAXSTatR2LuXblyJbbPWAnKORD+/PmzHtSWW9N6EJxeGt/DoIjpd+/ejeliYWFhfWlpqf61mbdv38ZzHj16VKdMJmtra7EuO2VlZSW2xwC7bMf5Dapuw4QyUsd8nH3//j2mf/78uU4pC9qVPm/bcphnQXBinajbpDMwV447E24ZfquUmDS+s5QdHjx40DOrWf6OumsBVw5/nAqa3LxJgnoOYgk/7cCd7OXLl3XKzgk3irj9LfTRKF5P2AmMxyb4Ux48jSrl8XgO5WOutG0puF1YS1iIrNRO40YTS6jkQFhdXY1qjRWUw12JfaHRohUFqDtbG/Pz8+szMzO94yeVICatVuGk08/iLQXGD2OvqZxYJeHGOdFjDIsQTyXcJOJvvJLZ2dn4fZIZmMWkO2eThaMYEoE1rKhw3U1/5yWH/eRHXhwPXS0PjsNC4+6R+slYc/ztYuJafCq4R578TtOAfMiDvNL1IXznHDby5xy+Nz0Rwbp5+PBh9e3bt1hfthSVVdfo9zRE10yP4TflVhr58Z30rUjrIdrqxpbXjfjUs2fPWusGWFRNfaE8VW7OlYVMGaiTxoDO0zlpGhAn0jWo/3ZgfKmO4yLts7yNt4LjWaWN16HXRIif0YZpG00kqNMgmJubi3em3L/FkuKuhKoL3cXa4hOyvhRfwupgw+LK41QpOmZ5eTmeu2fPnvUgDnHf4uLiejDre5YbdxjKkacB55JOPpxPPipLmk+YnNHqYx8WHvVUfI20EydOxOM4nu9sujvrHNqAjeunbZTDuZSD/JQHxystTNBYf8pMXmHSxWPaoB55fmndqBcWEflxHe7CXesGnM95QXRiO3EttW9absYNx/KdYykD5Vfe1Ava0igX7UeZyJPPFMrEeW2WHXl0sfrIZzvbVtCWQVBiW1BmxjVl2S5q0xTSguDVvyaTgQkTg4KJSaBbm9yxvOMZSAwWBKiJO3fuxP24gEw2jqPjSGsTJgSE/QxuwbmpqU6HcYwGNnA85RQqGxNScE3ykehyDscwqAQDLS8f1yWtaeDTLuk1qGuaXxOawOnA14OF9BrkS1pb+wqdm+anuqVtorR00verG2nsk5AB+aViqWuTJ+Wk7ppkaktESpCWT1zGHEIlNEbSSdmvnMB12/YJyiXxzTfOzzfS+0FdEFSOTaF+aV9MM/8JnbZjQsdVv379in/XJXRKz/0iIBcau/c7R+ZnDqZ8EILq1q1bcbkA5urhw4djPm3/QobAOoTOjm4AUB5cKUxb8uB6YSDHY5UPrgDXEAqG8u6Q8qEOmM3kw/IHpXMtESZJ/KQdukBwU2Y3LgVlwz3qB+tMclQWyiW2W5YU5RdEMH6mdHEPOJ82pG0oR9qGt2/fjr/lzgNjhLZI3Sn6nvYniIuLBnk/AeWR+0N+5AOkN7VVG1u5cvQNY3JQ0M/0e7gJxnLznbpynba5slN+//5dvXjxov41OA4cOFCdPXu2/jU4BiJM6liEgBWlO4GOkjDRYQhLuLvGgdb2BA80cIg3pIS7YW/AAoP7+vXrcfAiUvwhrHRSf/36NX4iiinkgzimNAmrJtxWMHmZlFyHjfoG66Hvm9398kbctku//NI263dc00Qi7kR6U1/kx1PvJrhx8N4W8RetzwmWYL13g2B5RLHjxsj4UF5d+2BcUBdEm35HeBlHCLlWXg8DhAlxHzSUfRjCRCfuGMWXuvq1cpea1luk8SVMXszdMOjqve1wHOdtZQpr/Qpunnz7lC75yLXhU7S5DKThtgDtQ931HfhNGXBJwsSKaW2Qd162pjS1b1q+JprObaqb0lQPyOvLNXFHlU479qPp2imk46oxthgT+dNerkV74f4wTqCp3nk5cyhnF9eLunfdiKn1o0v7TDsDeSqHtYL10dV8lqWBRZQj6wsLgDsgx8qFQPHbVB9XAXJ3g/zSNCwB3ASeKHHn4m6cgtUHuXmf5wOh/epv3eB81VltgLXGS5RhMkW3BCtgp8gq2W75oN856T5dQ5+MAerHb9oQSzSvS7pmKD8/h3TcSawmLK/cWiYv2ovxIEspdV11fFv+gjp1sTYJUXTdeDG2H237GRtyTaedHQkTnYqpzYDQROsCAwkha+oEBIB9cpu4Rri7xO8ISZu5i1mMOF2+fLmXL5+Yyrlg4iawj7xz9wyRIB/cPU0sjmVyaAIo/1SolEZbpBOYvCg34IpoEnBcGlPChaTeqQuVQp5yM9PJpsnYVpZ+KJ/0OH1PRUX55ZOc8uq6wQLslZ16UV7aUgSrZ5Mrpjz12YTEhQmbjy/1BQIolD956gaQtkXaL8Bvzt/qhsq1CFFsZ+sHN0P1JVAOyt4vVDFt/PVfsERA8hgCMCi7/AU87oZ0uILWQoFgBT0ZYAqQEh9qC34Dg5DOpWwIDn48d1YNYkGV2U9Zm4SOfIJJHvPZv39//Ds1TDLKRf4a9EAa4pOvtsUCYiKn5UdgqRfX5zdtwH6Oo4y0Z5PAc3waBwPySQcyx9A2TLS8fGrLlNxKoC2oQ5e60S765Jq0JZZCGpdDqGgzhIu6YiWwnz7J69JWRqDNaL9U5AR9xPhhvJEv7cdGuST69H8qqOoXIDbFX24MbuH/3aCGDWMZK5O2oe+oJ3XMx+q0MrY/rcsA0cuUg0ZVyu/w22VQ+fRjFNcYNtShrfwl1w/xwpqV0I6aUtpGYo0oNt0YmaOIJiEQ5uxICI0zNoIr0AsGGzNKCIp7/G2s0SIQjxQEq7dO3QwBffZz3KgY2CspfwOByyZ30Jhhg+tIbCl3K6cNLCTF5toeAuDOj5qxChODghgFsQJjRgWxJVw4vas37ciVbRMmxb1GKVBjFSbAZ23ya40ZFjwRQ5QcaN5AwrSV9TjK9hq7MMEwV7wak8NTPovS/+DpIE8FBSEW5qSe0EqwRhmkL0KYjDHjgfVqLDGRMGkJyvr6+qbvMFWunDFmfMiNYy0Ya6tYW8d3YnAKsWApsU5s6lw5Y8x4kDCxUJV4L6KEIPGAIF30SpqFyRgzEvSeK283IEpavZ8/kOI3+0fF2FZ+G2PGC/ElXrlaWlqKgkTQm3dNea8RESL4nQvUqLDFZMyUgrUEWr+kF555f49Fl+lL0TzJHOW6LwuTMVMKcSSQMOmvLBBL4sVtvTCPQBEMb3vRehjYlTNmStHrYOlrYbyFgSXFp9YvYTHh5vF7VK6dhckYUxx25YwxxWFhMsYUh4XJGFMcFiZjTHFYmIwxxWFhMsYUh4XJGFMcFiZjTHFYmIwxxWFhMsYUh4XJGFMcFiZjTHFYmIwxxWFhMsYUh4XJGFMcFiZjTGFU1X8BWoRnHSskjqUAAAAASUVORK5CYII=)" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "7CgeSpdzS-g7" + }, + "source": [ + "from scipy.stats import poisson\n", + "data_poisson = poisson.rvs(mu=3, size=10000)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 357 + }, + "id": "EcLkQtMfTBpK", + "outputId": "c654d4d5-1daa-45f9-fdf3-74b7113e3d6a" + }, + "source": [ + "ax = sns.distplot(data_poisson,\n", + " bins=30,\n", + " kde=False,\n", + " color='r',\n", + " hist_kws={\"linewidth\": 9,'alpha':0.3})\n", + "ax.set(xlabel='Poisson Distribution', ylabel='Frequency')" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.7/dist-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n", + " warnings.warn(msg, FutureWarning)\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[Text(0, 0.5, 'Frequency'), Text(0.5, 0, 'Poisson Distribution')]" + ] + }, + "metadata": {}, + "execution_count": 37 + }, + { + "output_type": "display_data", + "data": { + "image/png": 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\n", 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    " + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "RpwEdHSmRCKg" + }, + "source": [ + "##Continuous Uniform Distribution\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "CWI5U4cmR_2V" + }, + "source": [ + 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)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7kH77g7KSC_7" + }, + "source": [ + 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+ ] + }, + { + "cell_type": "code", + "metadata": { + "id": "4y-GYs8KRLfi" + }, + "source": [ + "# import uniform distribution\n", + "from scipy.stats import uniform" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "e6dEOvfrRNsX" + }, + "source": [ + "# random numbers from uniform distribution\n", + "n = 1000000\n", + "start = 10\n", + "width = 20\n", + "data_uniform = uniform.rvs(size=n, loc = start, scale=width)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 357 + }, + "id": "5HH0eH-bRP90", + "outputId": "15b3b5b6-fac3-4c70-9f78-b8e4d185cbbb" + }, + "source": [ + "ax = sns.distplot(data_uniform,\n", + " bins=100,\n", + " kde=True,\n", + " color='r',\n", + " hist_kws={\"linewidth\": 9,'alpha':0.3})\n", + "ax.set(xlabel='Uniform Distribution ', ylabel='Frequency')" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.7/dist-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n", + " warnings.warn(msg, FutureWarning)\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[Text(0, 0.5, 'Frequency'), Text(0.5, 0, 'Uniform Distribution ')]" + ] + }, + "metadata": {}, + "execution_count": 42 + }, + { + "output_type": "display_data", + "data": { + "image/png": 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\n", 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)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "KGVagX-TSMiM" + }, + "source": [ + 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)" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Vlua-8VISSWn" + }, + "source": [ + "from scipy.stats import norm\n", + "# generate random numbers from N(0,1)\n", + "data_normal = norm.rvs(size=10000,loc=0,scale=1)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 357 + }, + "id": "7SWz-mMrSVln", + "outputId": "1c8eb382-81dd-4736-9023-d86ee45b7b4b" + }, + "source": [ + "ax = sns.distplot(data_normal,\n", + " bins=100,\n", + " kde=True,\n", + " color='r',\n", + " hist_kws={\"linewidth\": 9,'alpha':0.3})\n", + "ax.set(xlabel='Normal Distribution', ylabel='Frequency')" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.7/dist-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n", + " warnings.warn(msg, FutureWarning)\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[Text(0, 0.5, 'Frequency'), Text(0.5, 0, 'Normal Distribution')]" + ] + }, + "metadata": {}, + "execution_count": 44 + }, + { + "output_type": "display_data", + "data": { + "image/png": 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\n", 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8cYbuXDhAvX19ZhMJiZPnkxKSgrffPMN7e3txMXFeWc4q6ur45NPPuHmm2/2308xRhh1Gu6elsjd0xI5VNfBql01mHVq7pqWSGqUYegNCENyuVwUFxdjtco7qAwY+qioKCoqKrDb7RiNRkwmE+3t7ZhMJlJTU1mxYgXl5eUcOHCAWbNmkZ2dLQIvw8z0KGamR+Fwe9h4qInTbTZmpUdTmBFNnEUX7O6NWlqtlltvvZVz5+Td+jlg6BMTE+nq6iIyMpKenh4iIiKIjo6moaGBoqIi3n33XTweD0uWLAHGZsFZIOk1ah7O7xvebOqwU1LRSsW5HibEmrgnNwmjTlw+UcLnGc7uueeei17fcsst3v8vXrxYYbeE70uOMrB4et94f7vNycbDTdR32DHr1FyfGcOs8VFB7uHYI4YsQ8g4k45HC/ovcEnsrmrnhR3VeCSJzHgT09MimZxkCWofxwIR+pCl4oasGG7IigHgXJeD0uoLfFLRSpfDTaRBy5wJ48hLiwxyP0cfEfpRIiFCz0+vSvC+dnskvjjTzprP6nC6Pbg8EGPWclVyBPnjo9CoxbWTwYjQj1IatYq5mTHMzYzxLuuyu6hosbHuy3qsvS4cLg+JEXqSI/VMTrKQGKEXo0SI0I8pEQYtM9IjmZH+r1MeSZKobuvldJuNI/WdNHY4cLg8eJBQq1Rkx5uZmGjiyqQItGHy10GEfoxTqVRkxJnIiDMN+H6ttZfKcz2Unmmg0+FGAzg8EnqNCqNWjUGrJtqkJTVST3KUnuRIA2a9vKk2QpUIfZgbH2NkfIyRmyZe+p7bI2F3ebjQ66Khw8E3LTb2VLXT3OVABUiAChUSEnqNmvgoE2a1hFmvJsasJUKvxaRTf/tPg0mnxqhTow5QrZbcrSoKfXNzM0lJSd7XcifZGcwXX3xBYWFh0Np3dXXR0tLChAkTFG/j0KFDzJw5U3H7YP8OBmqvUasw6zWY9RpSZJRM7Nr7GQXXz6G9W8Jqc9Jld9PW7cbmdNPj6KXX5aHX6aHH6b74xhsJ1BoNLS1NJCUm4fZ4MGjVGLVqoo1aIg0aIo1aNCqINGiJMmrQa9VE6MH0net4KrW8i3rDDn1paSnV1dW0tLSwbNkyAM6cOUNJSQlO5/BnBjMajbz33nvYbDZ6e3tHvL1Go6GhoYH6+nry8/OH/TOoVCo8Hg8lJSVYrVbsdvuw+xDs34Gv7fu3sel/30PlsuNwOFCp+o68KhXoUWH49jDcv+z7x2WjwcDG4o385P4l2O127C4Pvd/+lWm2u+jodePxSHQ63HT0unG43HQ5PHTZ+z5ATo9EdpyRR2X0VSUNszxy48aNLFmyhBdffJEVK1YAfY/b7OrqUlxibDAYFIXFX+3VajUajUbRh7afXq/3Pn1RiWD/DnxtH4g+9H1wVKhV/R+U/g+Nyvvh6V9HkiQMZguohz6OD/tIbzabaW5uRq/Xe5fp9XpiY2OHu6lLthvM9v7Q/5xdpYL9O/DH7zAU+jCUYR/pATZv3szcuXPDYsInYexRVM53++23ewPf2NjIqVOnfOpEc3OzT+1LS0sVn4tC35dQX9qDbz/D+fPn2bNnDx0dyiaN9Xg87Nu3T/H+Ozs72bt3L1999ZXibVRVVdHY2Ki4vd1u5+DBg4rbt7S0AFBTU+N9yv1gfK5hfeedd/j444+x2WyK2n/44Yc8//zzive/fft2kpOT+e1vf6uo/dGjRwFYu3at4j7YbDaefPJJxe03bNiAyWTCaFR2S+G6deuwWCyUlZUpaq9Wq4mLi+PVV19V1B76/vq/9dZbitv/4Q9/ICoqivfff3/YbY8ePcpDDz0EwKZNm9iyZcsPlrv7FPrGxkauueYaCgsLveEZrjvuuIOsrCzFfViwYAHnz5/nmmuuUdR+2rRpmM1mn253/NOf/sSdd96p+EEVEyZM4ODBg+zfv19R+6NHj3L48GHFR1qLxcKJEydYvXq1ovYAVqvVp7+WCQkJVFRUUFlZOey206ZNY968ebS0tFBUVMTUqVM5efLkoOv7FPqUlBSOHDnCoUOHuPrqqxVvp6urS3HbnTt3snv3bubMmaOofWlpKVqtVvGphdPp5Morr2T37t20trYq2obH46GwsJALFy4oap+Tk8P1119PQ4PyZ2cdP36ccePGKWpbV1dHXl4eaWlptLUpe2Jjeno6CQkJinNktVpJTEyktLSUioqKHzyQKvoi+11nz57FZrORnZ2teBvnzp0jISFh6BUHUFdX572Pd9q0aYq2UVpaylVXXUVUlPIbNrq6uoiIiFDUtqWlhdraWsUXtxwOB4cPH2b27NmK2kPf94r4+HjF7cvLyzGZTGRkZChqf+HCBSorKxX/xW5paSExMZEzZ86gVqu5/PLLB13X59ALwmgjbsYUwo4IvRB2ROiFsCNCL4QdEXoh7Pw/83GH/3M3V/cAAAAASUVORK5CYII=)" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "TsMVfgEDUa-E" + }, + "source": [ + "from scipy.stats import expon\n", + "data_expon = expon.rvs(scale=1,loc=0,size=1000)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 357 + }, + "id": "wfg3ZxRrUqyX", + "outputId": "38d64dd7-0c54-456f-96b0-89bd82d3349b" + }, + "source": [ + "ax = sns.distplot(data_expon,\n", + " kde=True,\n", + " bins=100,\n", + " color='r',\n", + " hist_kws={\"linewidth\": 9,'alpha':0.3})\n", + "ax.set(xlabel='Exponential Distribution', ylabel='Frequency')" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.7/dist-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n", + " warnings.warn(msg, FutureWarning)\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[Text(0, 0.5, 'Frequency'), Text(0.5, 0, 'Exponential Distribution')]" + ] + }, + "metadata": {}, + "execution_count": 46 + }, + { + "output_type": "display_data", + "data": { + "image/png": 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\n", 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"![image.png](data:image/png;base64,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)" + ] + } + ] +} \ No newline at end of file diff --git "a/a0.1/NoteBooks/AI\342\200\223DS_Nexus___1_1_An_Introduction_To_Data.ipynb" "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___1_1_An_Introduction_To_Data.ipynb" new file mode 100644 index 0000000..e939eed --- /dev/null +++ "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___1_1_An_Introduction_To_Data.ipynb" @@ -0,0 +1,302 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📊🧠 **Data Mastery: First Steps in Data Handling**\n", + "*Course: AI/DS Nexus by Reza Shokrzad*\n", + "\n", + "Welcome to your **first hands-on notebook** for mastering data across modalities! This notebook walks you through:\n", + "- 🧾 Reading and exploring tabular `.csv` files\n", + "- 📚 Working with raw and structured **text data**\n", + "- 🖼️ Loading and transforming **image data**\n", + "- 🔊 Processing **audio signals**\n", + "- 🌐 Using real datasets and corpora from popular libraries like **NLTK**, **TorchVision**, and **Librosa**\n", + "\n", + "Let's get started on your journey to become a data-savvy practitioner! 🚀" + ], + "metadata": { + "id": "_Ejac9Wq-f8r" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 🧾 Section 1: Working with Tabular Data (.csv)\n" + ], + "metadata": { + "id": "73YF-yC2-nK_" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "kYIadk-U-EJ2" + }, + "outputs": [], + "source": [ + "import pandas as pd\n", + "\n", + "# 1. Read the CSV file\n", + "df = pd.read_csv(\"your_file.csv\")\n", + "\n", + "# 2. Show the first 5 rows\n", + "print(df.head())\n", + "\n", + "# 3. Check the shape (rows, columns)\n", + "print(\"Shape:\", df.shape)\n", + "\n", + "# 4. Show column names\n", + "print(\"Columns:\", df.columns.tolist())\n", + "\n", + "# 5. Check data types of each column\n", + "print(df.dtypes)\n", + "\n", + "# 6. Get basic summary statistics\n", + "print(df.describe())\n", + "\n", + "# 7. Check for missing values\n", + "print(df.isnull().sum())\n", + "\n", + "# 8. See unique values in a specific column (e.g., \"Category\")\n", + "print(df[\"Category\"].unique()) # Change \"Category\" to your actual column name\n", + "\n", + "# 9. Quick info summary\n", + "df.info()" + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 📚 Section 2: Working with Text and Strings\n", + "\n" + ], + "metadata": { + "id": "aEUJxrxM-sL0" + } + }, + { + "cell_type": "code", + "source": [ + "text = \"Hello, Python learners!\"\n", + "print(text)\n", + "print(type(text)) # \n", + "print(len(text)) # 23\n", + "print(text[0]) # H\n", + "print(text[-1]) # !\n", + "print(text[0:5]) # Hello\n", + "print(text.lower())\n", + "print(text.upper())\n", + "print(text.split())\n", + "print(text.replace(\"Python\", \"World\"))\n", + "\n", + "name = \"Reza\"\n", + "message = f\"Welcome, {name}!\"\n", + "print(message)\n", + "\n", + "paragraph = \"\"\"Data science is fun. Python makes it easier. Let's learn together!\"\"\"\n", + "sentences = paragraph.split('. ')\n", + "print(\"Number of sentences:\", len(sentences))\n", + "words = paragraph.split()\n", + "print(\"Number of words:\", len(words))\n", + "print(\"Unique words:\", set(words))\n" + ], + "metadata": { + "id": "4FyD-TX1-qYZ" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## 📖 Section 3: Using NLTK for Text Corpus\n" + ], + "metadata": { + "id": "phEcW66v-wr1" + } + }, + { + "cell_type": "code", + "source": [ + "# !pip install nltk\n", + "import nltk\n", + "nltk.download('gutenberg')\n", + "nltk.download('punkt')\n", + "\n", + "from nltk.corpus import gutenberg\n", + "print(gutenberg.fileids())\n", + "text = gutenberg.raw('carroll-alice.txt')\n", + "print(text[:500])\n", + "\n", + "from nltk.tokenize import word_tokenize\n", + "tokens = word_tokenize(text)\n", + "print(\"Number of words:\", len(tokens))\n", + "\n", + "from nltk.probability import FreqDist\n", + "fdist = FreqDist(tokens)\n", + "print(fdist.most_common(10))\n" + ], + "metadata": { + "id": "Nu-gCi29-y2S" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## 🖼️ Section 4: Image Data Loading & Display\n" + ], + "metadata": { + "id": "pjfCnLe6-0av" + } + }, + { + "cell_type": "code", + "source": [ + "from PIL import Image\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "image = Image.open(\"your_image.jpg\")\n", + "plt.imshow(image)\n", + "plt.axis('off')\n", + "plt.title(\"Loaded Image\")\n", + "plt.show()\n", + "\n", + "image_array = np.array(image)\n", + "print(\"Image shape:\", image_array.shape)\n" + ], + "metadata": { + "id": "PZKIUPcQ-zPl" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## 📦 Section 5: TorchVision + CIFAR-10 Images\n" + ], + "metadata": { + "id": "JBA1E3YF-3o6" + } + }, + { + "cell_type": "code", + "source": [ + "# !pip install torchvision\n", + "import torchvision\n", + "import torchvision.transforms as T\n", + "\n", + "transform = T.ToTensor()\n", + "trainset = torchvision.datasets.CIFAR10(root='./data', train=True, download=True, transform=transform)\n", + "\n", + "image, label = trainset[0]\n", + "print(\"Label:\", label)\n", + "print(\"Image shape:\", image.shape)\n", + "\n", + "plt.imshow(image.permute(1, 2, 0))\n", + "plt.title(f\"Label: {label}\")\n", + "plt.axis('off')\n", + "plt.show()\n", + "\n", + "print(\"Classes:\", trainset.classes)\n" + ], + "metadata": { + "id": "3KU6f9gF-2ky" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## 🔊 Section 6: Audio Data with Librosa" + ], + "metadata": { + "id": "zD_nGgHd-7Sb" + } + }, + { + "cell_type": "code", + "source": [ + "# !pip install librosa\n", + "import librosa\n", + "import librosa.display\n", + "\n", + "audio_path = \"your_audio.wav\"\n", + "y, sr = librosa.load(audio_path)\n", + "print(\"Audio signal shape:\", y.shape)\n", + "print(\"Sampling rate:\", sr)\n", + "print(\"Duration (s):\", librosa.get_duration(y=y, sr=sr))\n", + "\n", + "plt.figure(figsize=(10, 4))\n", + "librosa.display.waveshow(y, sr=sr)\n", + "plt.title(\"Waveform\")\n", + "plt.xlabel(\"Time (s)\")\n", + "plt.ylabel(\"Amplitude\")\n", + "plt.tight_layout()\n", + "plt.show()\n" + ], + "metadata": { + "id": "_bQSXN9f-54m" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## 🎙️ Section 7: Audio with TorchAudio" + ], + "metadata": { + "id": "HPSZC3rk--Er" + } + }, + { + "cell_type": "code", + "source": [ + "# !pip install torchaudio\n", + "import torchaudio\n", + "import torchaudio.transforms as T\n", + "\n", + "dataset = torchaudio.datasets.SPEECHCOMMANDS(\"./data\", download=True)\n", + "waveform, sample_rate, label, *_ = dataset[0]\n", + "\n", + "print(\"Label:\", label)\n", + "print(\"Waveform shape:\", waveform.shape)\n", + "print(\"Sample rate:\", sample_rate)\n", + "\n", + "plt.figure(figsize=(10, 3))\n", + "plt.plot(waveform.t().numpy())\n", + "plt.title(f\"Label: {label}\")\n", + "plt.xlabel(\"Time\")\n", + "plt.ylabel(\"Amplitude\")\n", + "plt.tight_layout()\n", + "plt.show()\n" + ], + "metadata": { + "id": "SXGN3ukb-9AB" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file diff --git "a/a0.1/NoteBooks/AI\342\200\223DS_Nexus___1_2_Dataset.ipynb" "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___1_2_Dataset.ipynb" new file mode 100644 index 0000000..4d4db19 --- /dev/null +++ "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___1_2_Dataset.ipynb" @@ -0,0 +1,319 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 🏷️ ML Benchmark Hubs: Quick Data Loading & First-Look EDA\n", + "* Sklearn\n", + "* Hugging Face\n", + "* Kaggle\n", + "* UCI\n", + "* OpenML" + ], + "metadata": { + "id": "mWQeSF25i0vW" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "ht_LNxDHL2hu" + }, + "outputs": [], + "source": [ + "# Core\n", + "import pandas as pd\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 1) Sklearn datasets 🌿\n", + "* Load: Iris\n", + "* Fetch: California Housing\n", + "* Synthetic: “Moons”" + ], + "metadata": { + "id": "UppSx7DnjEwY" + } + }, + { + "cell_type": "code", + "source": [ + "from sklearn.datasets import load_iris, fetch_california_housing, make_moons\n", + "\n", + "# --- Iris (toy, tabular) ---\n", + "iris = load_iris()\n", + "X_iris = iris.data\n", + "y_iris = iris.target\n", + "df_iris = pd.DataFrame(X_iris, columns=iris.feature_names)\n", + "df_iris[\"target\"] = y_iris\n", + "\n", + "print(\"Iris shape:\", df_iris.shape)\n", + "display(df_iris.head())\n", + "print(df_iris.isna().sum().to_dict())\n", + "\n" + ], + "metadata": { + "id": "FwXktkhajC1q" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# --- California Housing (realistic, tabular) ---\n", + "cal = fetch_california_housing()\n", + "df_cal = pd.DataFrame(cal.data, columns=cal.feature_names)\n", + "df_cal[\"MedHouseVal\"] = cal.target\n", + "\n", + "print(\"\\nCalifornia shape:\", df_cal.shape)\n", + "display(df_cal.head())\n", + "print(df_cal.isna().sum().to_dict())\n" + ], + "metadata": { + "id": "3niAGQgcjQMw" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# --- Synthetic Moons (controlled patterns) ---\n", + "X_moon, y_moon = make_moons(n_samples=400, noise=0.15)\n", + "df_moon = pd.DataFrame(X_moon, columns=[\"x1\",\"x2\"])\n", + "df_moon[\"label\"] = y_moon\n", + "print(\"\\nMoons shape:\", df_moon.shape)\n", + "display(df_moon.head())\n", + "\n", + "# Quick visuals (optional)\n", + "plt.figure(figsize=(4,3))\n", + "plt.scatter(df_moon[\"x1\"], df_moon[\"x2\"], c=df_moon[\"label\"])\n", + "plt.title(\"make_moons() scatter\")\n", + "plt.tight_layout()\n", + "plt.show()\n" + ], + "metadata": { + "id": "SoPvWxbjjRuf" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## 2) Hugging Face Datasets 🤗\n", + "IMDB sentiment: label balance + sample peek" + ], + "metadata": { + "id": "Ft_GbTNIjVhz" + } + }, + { + "cell_type": "code", + "source": [ + "# If needed:\n", + "# !pip install datasets\n", + "\n", + "from datasets import load_dataset, load_dataset_builder\n", + "from collections import Counter\n", + "\n", + "ds = load_dataset(\"imdb\")\n", + "\n", + "# Basic structure\n", + "print(ds)\n", + "print(\"Train rows:\", ds[\"train\"].num_rows, \"Test rows:\", ds[\"test\"].num_rows)\n", + "print(\"Features:\", load_dataset_builder(\"imdb\").info.features)\n", + "\n", + "# Label balance (train)\n", + "label_counts = Counter(ds[\"train\"][\"label\"])\n", + "print(\"Label counts:\", label_counts)\n", + "\n", + "# Bar chart\n", + "plt.bar([\"Negative\",\"Positive\"], [label_counts[0], label_counts[1]])\n", + "plt.title(\"IMDB Sentiment Distribution (Train)\")\n", + "plt.ylabel(\"Count\")\n", + "plt.tight_layout()\n", + "plt.show()\n", + "\n", + "# Sample row\n", + "ds[\"train\"][0]\n" + ], + "metadata": { + "id": "l9IMOMbWjVEO" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## 3) Kaggle 📦\n", + "Delhi Air Quality via KaggleHub → first look" + ], + "metadata": { + "id": "ayeed1vkjckP" + } + }, + { + "cell_type": "code", + "source": [ + "# If needed:\n", + "# !pip install \"kagglehub[pandas-datasets]\"\n", + "\n", + "import kagglehub\n", + "from kagglehub import KaggleDatasetAdapter\n", + "\n", + "# kagglehub.login() # uncomment if required on your environment\n", + "\n", + "handle = \"kunshbhatia/delhi-air-quality-dataset\"\n", + "file_in_dataset = \"delhi_air_quality.csv\" # adjust if the filename differs\n", + "\n", + "df_kaggle = kagglehub.dataset_load(\n", + " KaggleDatasetAdapter.PANDAS,\n", + " handle,\n", + " file_in_dataset,\n", + ")\n", + "\n", + "print(\"Kaggle (Delhi Air) shape:\", df_kaggle.shape)\n", + "display(df_kaggle.head())\n", + "print(df_kaggle.isna().sum().sort_values(ascending=False).head(10))\n" + ], + "metadata": { + "id": "TFpTV941jb2q" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## 4) UCI Repository 🏛️\n", + "Heart Disease via ucimlrepo" + ], + "metadata": { + "id": "izjnrXBYjg8c" + } + }, + { + "cell_type": "code", + "source": [ + "# If needed:\n", + "# !pip install ucimlrepo\n", + "\n", + "from ucimlrepo import fetch_ucirepo\n", + "\n", + "heart = fetch_ucirepo(id=45) # Heart Disease\n", + "X_uci = heart.data.features\n", + "y_uci = heart.data.targets\n", + "\n", + "df_uci = X_uci.copy()\n", + "for c in y_uci.columns:\n", + " df_uci[c] = y_uci[c]\n", + "\n", + "print(\"UCI Heart shape:\", df_uci.shape)\n", + "display(df_uci.head())\n", + "print(\"Targets:\", list(y_uci.columns))\n", + "print(df_uci.isna().sum().sort_values(ascending=False).head(10))\n" + ], + "metadata": { + "id": "0ev_9cnfjfm4" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## 5) OpenML 🌐\n", + "“irish” dataset, ID 451 → robust fetch & first look" + ], + "metadata": { + "id": "pG5fYmyGjk0m" + } + }, + { + "cell_type": "code", + "source": [ + "# If needed:\n", + "# !pip install openml\n", + "\n", + "import openml\n", + "\n", + "d_irish = openml.datasets.get_dataset(451) # \"irish\"\n", + "target_col = d_irish.default_target_attribute\n", + "X_irish, y_irish, cat_ind, names = d_irish.get_data(dataset_format=\"dataframe\", target=target_col)\n", + "\n", + "df_irish = X_irish.copy()\n", + "df_irish[target_col] = y_irish\n", + "\n", + "print(\"OpenML 'irish' shape:\", df_irish.shape)\n", + "display(df_irish.head())\n", + "print(\"Target:\", target_col)\n", + "print(\"Categorical flags per feature:\", dict(zip(names, cat_ind)))\n", + "print(df_irish.isna().sum().sort_values(ascending=False))\n", + "\n", + "# Simple target distribution\n", + "df_irish[target_col].value_counts(dropna=False)\n" + ], + "metadata": { + "id": "rScFEsdIjmFY" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## (Mini) EDA add-ons 📋" + ], + "metadata": { + "id": "_bDArzSjjpEu" + } + }, + { + "cell_type": "code", + "source": [ + "# Correlation (numeric) — quick peek\n", + "num_cols = df_iris.select_dtypes(include=[np.number]).columns\n", + "corr = df_iris[num_cols].corr()\n", + "plt.figure(figsize=(6,5))\n", + "plt.imshow(corr, interpolation=\"nearest\")\n", + "plt.title(\"Iris: Correlation (numeric)\")\n", + "plt.colorbar()\n", + "plt.xticks(range(len(num_cols)), num_cols, rotation=90)\n", + "plt.yticks(range(len(num_cols)), num_cols)\n", + "plt.tight_layout()\n", + "plt.show()\n", + "\n", + "# Simple group stats (if categorical exists)\n", + "if \"target\" in df_iris:\n", + " print(df_iris.groupby(\"target\")[num_cols].mean())\n" + ], + "metadata": { + "id": "0UGaBkrnjriI" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file diff --git "a/a0.1/NoteBooks/AI\342\200\223DS_Nexus___1_3_DataPreprocessing.ipynb" "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___1_3_DataPreprocessing.ipynb" new file mode 100644 index 0000000..ca46e08 --- /dev/null +++ "b/a0.1/NoteBooks/AI\342\200\223DS_Nexus___1_3_DataPreprocessing.ipynb" @@ -0,0 +1,58457 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 347 + }, + "id": "lIYdn1woOS1n", + "outputId": "4c67c7fb-5d85-48da-ab5a-968bfc2ef809" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/tmp/ipython-input-53450764.py:11: DeprecationWarning: load_dataset is deprecated and will be removed in a future version.\n", + " df = kagglehub.load_dataset(\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " customerID gender SeniorCitizen Partner Dependents tenure PhoneService \\\n", + "0 7590-VHVEG Female 0 Yes No 1 No \n", + "1 5575-GNVDE Male 0 No No 34 Yes \n", + "2 3668-QPYBK Male 0 No No 2 Yes \n", + "3 7795-CFOCW Male 0 No No 45 No \n", + "4 9237-HQITU Female 0 No No 2 Yes \n", + "\n", + " MultipleLines InternetService OnlineSecurity OnlineBackup \\\n", + "0 No phone service DSL No Yes \n", + "1 No DSL Yes No \n", + "2 No DSL Yes Yes \n", + "3 No phone service DSL Yes No \n", + "4 No Fiber optic No No \n", + "\n", + " DeviceProtection TechSupport StreamingTV StreamingMovies Contract \\\n", + "0 No No No No Month-to-month \n", + "1 Yes No No No One year \n", + "2 No No No No Month-to-month \n", + "3 Yes Yes No No One year \n", + "4 No No No No Month-to-month \n", + "\n", + " PaperlessBilling PaymentMethod MonthlyCharges TotalCharges \\\n", + "0 Yes Electronic check 29.85 29.85 \n", + "1 No Mailed check 56.95 1889.5 \n", + "2 Yes Mailed check 53.85 108.15 \n", + "3 No Bank transfer (automatic) 42.30 1840.75 \n", + "4 Yes Electronic check 70.70 151.65 \n", + "\n", + " Churn \n", + "0 No \n", + "1 No \n", + "2 Yes \n", + "3 No \n", + "4 Yes " + ], + "text/html": [ + "\n", + "
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    15575-GNVDEMale0NoNo34YesNoDSLYesNoYesNoNoNoOne yearNoMailed check56.951889.5No
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    " + ] + }, + "metadata": {}, + "execution_count": 4 + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## ✅ Step 2: Handling Missing Values" + ], + "metadata": { + "id": "fs7tirZZ8IPc" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "pd.Series([1.0, np.nan, 3.0])\n", + "pd.Series([\"a\", None, \"c\"])\n", + "pd.to_datetime([\"2020-01-01\", None, \"2020-03-01\"])\n", + "pd.Series([1, pd.NA, 3], dtype=\"Int64\") # nullable int\n", + "pd.Series([True, pd.NA, False], dtype=\"boolean\")\n", + "s = pd.Series([\"\", \"NA\", \"NULL\", np.nan])\n", + "s.replace([\"\", \"NA\", \"NULL\"], np.nan, inplace=True)\n", + "# Check missing values\n", + "df.isnull().sum().sum()\n" + ], + "metadata": { + "id": "LSmrHWOvIEVs", + "outputId": "ffc2166f-2305-42a8-817b-97a2e6c25e78", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "np.int64(0)" + ] + }, + "metadata": {}, + "execution_count": 6 + } + ] + }, + { + "cell_type": "code", + "source": [ + "# For Telco: 'TotalCharges' often has blanks, convert to numeric\n", + "df['TotalCharges'] = pd.to_numeric(df['TotalCharges'], errors='coerce')\n", + "\n", + "# Re-check missing\n", + "print(df['TotalCharges'].isnull().sum().sum())\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "3P0fdgX88K-x", + "outputId": "985feef2-e557-4676-c202-ef692c9f78c3" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "11\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "\n", + "# Fill missing with median (numerical) or mode (categorical)\n", + "df['TotalCharges'] = df['TotalCharges'].fillna(df['TotalCharges'].median())\n", + "print(df['TotalCharges'].isnull().sum().sum())\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "dc30K7iXV6TR", + "outputId": "d6bead49-9595-4fd9-ac2e-6bcbb027c545" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "0\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## ✅ Step 3: Correlation" + ], + "metadata": { + "id": "kweM4wIm803w" + } + }, + { + "cell_type": "code", + "source": [ + "df.corr(numeric_only=True)\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 174 + }, + "id": "yBWCZ4YyWFxK", + "outputId": "72b4eeff-7007-49fa-eb1e-5260eaf756e4" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " SeniorCitizen tenure MonthlyCharges TotalCharges\n", + "SeniorCitizen 1.000000 0.016567 0.220173 0.102652\n", + "tenure 0.016567 1.000000 0.247900 0.825464\n", + "MonthlyCharges 0.220173 0.247900 1.000000 0.650864\n", + "TotalCharges 0.102652 0.825464 0.650864 1.000000" + ], + "text/html": [ + "\n", + "
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    \n" + ], + "application/vnd.google.colaboratory.intrinsic+json": { + "type": "dataframe", + "summary": "{\n \"name\": \"df\",\n \"rows\": 4,\n \"fields\": [\n {\n \"column\": \"SeniorCitizen\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0.45121890726476527,\n \"min\": 0.016566877681809315,\n \"max\": 1.0,\n \"num_unique_values\": 4,\n \"samples\": [\n 0.016566877681809315,\n 0.10265158978041383,\n 1.0\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"tenure\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0.46589235152999947,\n \"min\": 0.016566877681809315,\n \"max\": 1.0,\n \"num_unique_values\": 4,\n \"samples\": [\n 1.0,\n 0.8254640864073051,\n 0.016566877681809315\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"MonthlyCharges\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0.37017156384728933,\n \"min\": 0.22017333857627205,\n \"max\": 1.0,\n \"num_unique_values\": 4,\n \"samples\": [\n 0.24789985628615094,\n 0.6508643497230377,\n 0.22017333857627205\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"TotalCharges\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0.38848775830624066,\n \"min\": 0.10265158978041383,\n \"max\": 1.0,\n \"num_unique_values\": 4,\n \"samples\": [\n 0.8254640864073051,\n 1.0,\n 0.10265158978041383\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n }\n ]\n}" + } + }, + "metadata": {}, + "execution_count": 20 + } + ] + }, + { + "cell_type": "code", + "source": [ + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Numeric-only correlation\n", + "corr = df.corr(numeric_only=True)\n", + "plt.figure(figsize=(10,6))\n", + "sns.heatmap(corr, annot=True, cmap=\"coolwarm\")\n", + "plt.show()\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 528 + }, + "id": "N_Fez35O8zqG", + "outputId": "8cc0ca33-daf4-4c43-c40f-35f78149cd1f" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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+ }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## ✅ Step 4: Encoding Categorical Variables\n", + "\n", + "#### 🔹 Label Encoding, Ordinal Encoding, One-hot Encoding (sklearn)\n", + "\n", + "👉 Best for **ordinal** categories or when you want to quickly turn categories into integers." + ], + "metadata": { + "id": "4s2t1gCo9AV3" + } + }, + { + "cell_type": "code", + "source": [ + "# Drop ID column (not useful for ML)\n", + "if 'customerID' in df.columns:\n", + " df.drop(columns=['customerID'], inplace=True)\n", + "\n", + "# Separate categorical & numerical\n", + "cat_cols = df.select_dtypes(include=['object']).columns.tolist()\n", + "num_cols = df.select_dtypes(exclude=['object']).columns.tolist()\n", + "print(\"cat_cols: \", cat_cols)\n", + "print(\"num_cols: \", num_cols)\n" + ], + "metadata": { + "id": "beNj03P_-wSw", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "cf163f9b-b709-4ba3-8c4d-33245e498090" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "cat_cols: ['gender', 'Partner', 'Dependents', 'PhoneService', 'MultipleLines', 'InternetService', 'OnlineSecurity', 'OnlineBackup', 'DeviceProtection', 'TechSupport', 'StreamingTV', 'StreamingMovies', 'Contract', 'PaperlessBilling', 'PaymentMethod', 'TotalCharges', 'Churn']\n", + "num_cols: ['SeniorCitizen', 'tenure', 'MonthlyCharges']\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "from sklearn.preprocessing import LabelEncoder, OrdinalEncoder, OneHotEncoder\n", + "\n", + "df_le = df.copy() # keep a separate version\n", + "label_encoders = {}\n", + "\n", + "for col in cat_cols:\n", + " le = LabelEncoder()\n", + " df_le[col] = le.fit_transform(df_le[col])\n", + " label_encoders[col] = le # store encoder if needed later\n", + "\n", + "df_le.head()\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 226 + }, + "id": "Alh5JLZ9-NGT", + "outputId": "5aedd760-93c2-497d-eedc-a15f194b6aa0" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " gender SeniorCitizen Partner Dependents tenure PhoneService \\\n", + "0 0 0 1 0 1 0 \n", + "1 1 0 0 0 34 1 \n", + "2 1 0 0 0 2 1 \n", + "3 1 0 0 0 45 0 \n", + "4 0 0 0 0 2 1 \n", + "\n", + " MultipleLines InternetService OnlineSecurity OnlineBackup \\\n", + "0 1 0 0 2 \n", + "1 0 0 2 0 \n", + "2 0 0 2 2 \n", + "3 1 0 2 0 \n", + "4 0 1 0 0 \n", + "\n", + " DeviceProtection TechSupport StreamingTV StreamingMovies Contract \\\n", + "0 0 0 0 0 0 \n", + "1 2 0 0 0 1 \n", + "2 0 0 0 0 0 \n", + "3 2 2 0 0 1 \n", + "4 0 0 0 0 0 \n", + "\n", + " PaperlessBilling PaymentMethod MonthlyCharges TotalCharges Churn \n", + "0 1 2 29.85 29.85 0 \n", + "1 0 3 56.95 1889.50 0 \n", + "2 1 3 53.85 108.15 1 \n", + "3 0 0 42.30 1840.75 0 \n", + "4 1 2 70.70 151.65 1 " + ], + "text/html": [ + "\n", + "
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0,\n \"min\": 0,\n \"max\": 1,\n \"num_unique_values\": 2,\n \"samples\": [\n 1,\n 0\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"tenure\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 24,\n \"min\": 0,\n \"max\": 72,\n \"num_unique_values\": 73,\n \"samples\": [\n 8,\n 40\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"PhoneService\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0,\n \"min\": 0,\n \"max\": 1,\n \"num_unique_values\": 2,\n \"samples\": [\n 1,\n 0\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"MultipleLines\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0,\n \"min\": 0,\n \"max\": 2,\n \"num_unique_values\": 3,\n \"samples\": [\n 1,\n 0\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"InternetService\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0,\n \"min\": 0,\n \"max\": 2,\n \"num_unique_values\": 3,\n \"samples\": [\n 0,\n 1\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"OnlineSecurity\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0,\n \"min\": 0,\n \"max\": 2,\n \"num_unique_values\": 3,\n \"samples\": [\n 0,\n 2\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"OnlineBackup\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0,\n \"min\": 0,\n \"max\": 2,\n \"num_unique_values\": 3,\n \"samples\": [\n 2,\n 0\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"DeviceProtection\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0,\n \"min\": 0,\n \"max\": 2,\n \"num_unique_values\": 3,\n \"samples\": [\n 0,\n 2\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"TechSupport\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0,\n \"min\": 0,\n \"max\": 2,\n \"num_unique_values\": 3,\n \"samples\": [\n 0,\n 2\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"StreamingTV\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0,\n \"min\": 0,\n \"max\": 2,\n \"num_unique_values\": 3,\n \"samples\": [\n 0,\n 2\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"StreamingMovies\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0,\n \"min\": 0,\n \"max\": 2,\n \"num_unique_values\": 3,\n \"samples\": [\n 0,\n 2\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"Contract\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0,\n \"min\": 0,\n \"max\": 2,\n \"num_unique_values\": 3,\n \"samples\": [\n 0,\n 1\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"PaperlessBilling\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0,\n \"min\": 0,\n \"max\": 1,\n \"num_unique_values\": 2,\n \"samples\": [\n 0,\n 1\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"PaymentMethod\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 1,\n \"min\": 0,\n \"max\": 3,\n \"num_unique_values\": 4,\n \"samples\": [\n 3,\n 1\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"MonthlyCharges\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 30.09004709767854,\n \"min\": 18.25,\n \"max\": 118.75,\n \"num_unique_values\": 1585,\n \"samples\": [\n 48.85,\n 20.05\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"TotalCharges\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 2265.2703984821865,\n \"min\": 18.8,\n \"max\": 8684.8,\n \"num_unique_values\": 6531,\n \"samples\": [\n 4600.7,\n 20.35\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"Churn\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0,\n \"min\": 0,\n \"max\": 1,\n 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\"properties\": {\n \"dtype\": \"number\",\n \"std\": 0.4581101675100081,\n \"min\": 0.0,\n \"max\": 1.0,\n \"num_unique_values\": 2,\n \"samples\": [\n 1.0,\n 0.0\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"tenure\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 24,\n \"min\": 0,\n \"max\": 72,\n \"num_unique_values\": 73,\n \"samples\": [\n 8,\n 40\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"PhoneService\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0.29575223178364995,\n \"min\": 0.0,\n \"max\": 1.0,\n \"num_unique_values\": 2,\n \"samples\": [\n 1.0,\n 0.0\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"MultipleLines\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0.948554033447008,\n \"min\": 0.0,\n \"max\": 2.0,\n \"num_unique_values\": 3,\n \"samples\": [\n 1.0,\n 0.0\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n 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\"properties\": {\n \"dtype\": \"number\",\n \"std\": 2265.2703984821865,\n \"min\": 18.8,\n \"max\": 8684.8,\n \"num_unique_values\": 6531,\n \"samples\": [\n 4600.7,\n 20.35\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"Churn\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0.44156130512195013,\n \"min\": 0.0,\n \"max\": 1.0,\n \"num_unique_values\": 2,\n \"samples\": [\n 1.0,\n 0.0\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n }\n ]\n}" + } + }, + "metadata": {}, + "execution_count": 36 + } + ] + }, + { + "cell_type": "code", + "source": [ + "df_ohe = df.copy() # keep a separate version\n", + "label_encoders = {}\n", + "\n", + "ohe = OneHotEncoder(drop=\"first\", sparse_output=False) # Set sparse_output to False\n", + "encoded = ohe.fit_transform(df_ohe[cat_cols])\n", + "\n", + "encoded_df = pd.DataFrame(encoded, columns=ohe.get_feature_names_out(cat_cols), index=df_ohe.index)\n", + "df_ohe = 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False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_109.6 TotalCharges_109.8 TotalCharges_1090.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1090.6 TotalCharges_1090.65 TotalCharges_1092.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1093 TotalCharges_1093.1 TotalCharges_1093.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1093.4 TotalCharges_1094.35 TotalCharges_1094.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1095.3 TotalCharges_1095.65 TotalCharges_1096.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1096.6 TotalCharges_1096.65 TotalCharges_1097.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1098.85 TotalCharges_1099.6 TotalCharges_110.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_110.15 TotalCharges_1101.85 TotalCharges_1102.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1103.25 TotalCharges_1105.4 TotalCharges_1107.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1107.25 TotalCharges_1108 TotalCharges_1108.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1108.6 TotalCharges_1108.8 TotalCharges_111.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_111.4 TotalCharges_111.65 TotalCharges_1110.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1110.35 TotalCharges_1110.5 TotalCharges_1111.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1111.65 TotalCharges_1111.85 TotalCharges_1112.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1113.95 TotalCharges_1114.55 TotalCharges_1114.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1115.15 TotalCharges_1115.2 TotalCharges_1115.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1117.55 TotalCharges_1118.8 TotalCharges_1119.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1119.9 TotalCharges_112.3 TotalCharges_112.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1120.3 TotalCharges_1120.95 TotalCharges_1121.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1122.4 TotalCharges_1123.15 TotalCharges_1123.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1124.2 TotalCharges_1125.2 TotalCharges_1125.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1126.35 TotalCharges_1126.75 TotalCharges_1127.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1127.35 TotalCharges_1128.1 TotalCharges_1129.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1129.35 TotalCharges_1129.75 TotalCharges_113.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_113.35 TotalCharges_113.5 TotalCharges_113.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_113.85 TotalCharges_113.95 TotalCharges_1130 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1130.85 TotalCharges_1131.2 TotalCharges_1131.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1131.5 TotalCharges_1132.35 TotalCharges_1132.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1133.65 TotalCharges_1133.7 TotalCharges_1133.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1134.25 TotalCharges_1135.7 TotalCharges_1137.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1138.8 TotalCharges_1139.2 TotalCharges_114.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_114.15 TotalCharges_114.7 TotalCharges_1140.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1143.8 TotalCharges_1144.5 TotalCharges_1144.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1145.35 TotalCharges_1145.7 TotalCharges_1146.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1146.65 TotalCharges_1147 TotalCharges_1147.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1147.85 TotalCharges_1148.1 TotalCharges_1149.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_115.1 TotalCharges_115.95 TotalCharges_1151.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1151.55 TotalCharges_1152.7 TotalCharges_1152.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1153.25 TotalCharges_1155.6 TotalCharges_1156.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1156.35 TotalCharges_1156.55 TotalCharges_1157.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1158.85 TotalCharges_116.6 TotalCharges_116.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_116.85 TotalCharges_116.95 TotalCharges_1160.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1160.75 TotalCharges_1161.75 TotalCharges_1162.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1164.05 TotalCharges_1164.3 TotalCharges_1165.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1165.6 TotalCharges_1165.9 TotalCharges_1166.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1167.6 TotalCharges_1167.8 TotalCharges_1169.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_117.05 TotalCharges_117.8 TotalCharges_117.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1170.5 TotalCharges_1170.55 TotalCharges_1171.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1171.5 TotalCharges_1172.95 TotalCharges_1173.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1173.55 TotalCharges_1174.35 TotalCharges_1174.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1175.6 TotalCharges_1175.85 TotalCharges_1177.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1177.95 TotalCharges_1178.25 TotalCharges_1178.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1178.75 TotalCharges_118.25 TotalCharges_118.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_118.4 TotalCharges_118.5 TotalCharges_1180.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1181.75 TotalCharges_1182.55 TotalCharges_1183.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1183.2 TotalCharges_1183.8 TotalCharges_1184 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1185 TotalCharges_1185.95 TotalCharges_1187.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1188.2 TotalCharges_1188.25 TotalCharges_1189.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1189.9 TotalCharges_119.3 TotalCharges_119.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_119.75 TotalCharges_1190.5 TotalCharges_1191.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1191.4 TotalCharges_1192.3 TotalCharges_1192.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1193.05 TotalCharges_1193.55 TotalCharges_1194.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1195.25 TotalCharges_1195.75 TotalCharges_1195.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1198.05 TotalCharges_1198.8 TotalCharges_1199.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_120.25 TotalCharges_1200.15 TotalCharges_1201.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1201.65 TotalCharges_1203.9 TotalCharges_1203.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1205.05 TotalCharges_1205.5 TotalCharges_1206.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1207 TotalCharges_1208.15 TotalCharges_1208.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1208.6 TotalCharges_1209.25 TotalCharges_121.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1210.3 TotalCharges_1210.4 TotalCharges_1211.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1212.1 TotalCharges_1212.25 TotalCharges_1212.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1214.05 TotalCharges_1215.1 TotalCharges_1215.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1215.6 TotalCharges_1215.65 TotalCharges_1215.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1216.35 TotalCharges_1216.6 TotalCharges_1217.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1218.25 TotalCharges_1218.45 TotalCharges_1218.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1218.65 TotalCharges_1219.85 TotalCharges_122 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_122.7 TotalCharges_122.9 TotalCharges_1221.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1221.65 TotalCharges_1222.05 TotalCharges_1222.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1222.65 TotalCharges_1222.8 TotalCharges_1224.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1225.65 TotalCharges_1226.45 TotalCharges_1228.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1229.1 TotalCharges_123.05 TotalCharges_123.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_123.8 TotalCharges_1230.25 TotalCharges_1230.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1231.85 TotalCharges_1232.9 TotalCharges_1233.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1233.25 TotalCharges_1233.4 TotalCharges_1233.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1234.6 TotalCharges_1234.8 TotalCharges_1235.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1236.15 TotalCharges_1237.3 TotalCharges_1237.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1237.85 TotalCharges_1238.45 TotalCharges_1238.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_124.4 TotalCharges_124.45 TotalCharges_1240.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1240.25 TotalCharges_1240.8 TotalCharges_1242.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1242.25 TotalCharges_1242.45 TotalCharges_1244.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1244.8 TotalCharges_1245.05 TotalCharges_1245.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1246.4 TotalCharges_1247.75 TotalCharges_1248.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1249.25 TotalCharges_125 TotalCharges_125.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_125.95 TotalCharges_1250.1 TotalCharges_1250.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1252 TotalCharges_1252.85 TotalCharges_1253.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1253.5 TotalCharges_1253.65 TotalCharges_1253.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1253.9 TotalCharges_1254.7 TotalCharges_1255.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1258.15 TotalCharges_1258.3 TotalCharges_1258.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1258.6 TotalCharges_1259 TotalCharges_1259.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_126.05 TotalCharges_1260.7 TotalCharges_1261 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1261.35 TotalCharges_1261.45 TotalCharges_1261.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1263.05 TotalCharges_1263.85 TotalCharges_1263.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1264.2 TotalCharges_1265.65 TotalCharges_1266.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1266.35 TotalCharges_1266.4 TotalCharges_1267 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1267.05 TotalCharges_1267.2 TotalCharges_1267.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1268.85 TotalCharges_1269.1 TotalCharges_1269.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1269.6 TotalCharges_127.1 TotalCharges_1270.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1270.25 TotalCharges_1270.55 TotalCharges_1271.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1272.05 TotalCharges_1273.3 TotalCharges_1274.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1274.45 TotalCharges_1275.6 TotalCharges_1275.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1275.7 TotalCharges_1275.85 TotalCharges_1277.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1277.75 TotalCharges_1278.8 TotalCharges_1279 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_128.6 TotalCharges_1281 TotalCharges_1281.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1282.85 TotalCharges_1284.2 TotalCharges_1285.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1285.8 TotalCharges_1286 TotalCharges_1286.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1287.85 TotalCharges_1288 TotalCharges_1288.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1288.75 TotalCharges_129.15 TotalCharges_129.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_129.55 TotalCharges_129.6 TotalCharges_1290 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1291.3 TotalCharges_1291.35 TotalCharges_1292.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1292.6 TotalCharges_1292.65 TotalCharges_1293.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1294.6 TotalCharges_1295.4 TotalCharges_1296.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1296.8 TotalCharges_1297.35 TotalCharges_1297.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1298.7 TotalCharges_1299.1 TotalCharges_1299.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_130.1 TotalCharges_130.15 TotalCharges_130.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_130.5 TotalCharges_130.55 TotalCharges_130.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1301 TotalCharges_1301.1 TotalCharges_1301.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1301.9 TotalCharges_1302.65 TotalCharges_1303.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1303.5 TotalCharges_1304.8 TotalCharges_1304.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1305.95 TotalCharges_1306.3 TotalCharges_1307.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1308.1 TotalCharges_1308.4 TotalCharges_1309 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1309.15 TotalCharges_131.05 TotalCharges_131.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1311.3 TotalCharges_1311.6 TotalCharges_1311.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1312.15 TotalCharges_1312.45 TotalCharges_1313.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1313.55 TotalCharges_1315 TotalCharges_1315.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1316.9 TotalCharges_1317.95 TotalCharges_1319.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1319.95 TotalCharges_132.2 TotalCharges_132.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_132.4 TotalCharges_1321.3 TotalCharges_1322.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1322.85 TotalCharges_1323.7 TotalCharges_1325.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1326.25 TotalCharges_1326.35 TotalCharges_1327.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1327.4 TotalCharges_1327.85 TotalCharges_1328.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1328.35 TotalCharges_1329.15 TotalCharges_1329.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1331.05 TotalCharges_1332.4 TotalCharges_1334 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1334.45 TotalCharges_1334.5 TotalCharges_1335.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1336.1 TotalCharges_1336.15 TotalCharges_1336.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1336.65 TotalCharges_1336.8 TotalCharges_1336.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1337.45 TotalCharges_1337.5 TotalCharges_1338.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1339.8 TotalCharges_134.05 TotalCharges_134.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_134.5 TotalCharges_134.6 TotalCharges_134.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_134.75 TotalCharges_1340.1 TotalCharges_1341.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1342.15 TotalCharges_1343.4 TotalCharges_1344.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1345.55 TotalCharges_1345.65 TotalCharges_1345.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1345.85 TotalCharges_1346.2 TotalCharges_1346.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1346.9 TotalCharges_1347.15 TotalCharges_1348.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1348.9 TotalCharges_1348.95 TotalCharges_135 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_135.2 TotalCharges_135.75 TotalCharges_1350.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1354.4 TotalCharges_1355.1 TotalCharges_1355.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1356.3 TotalCharges_1356.7 TotalCharges_1357.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1358.6 TotalCharges_1358.85 TotalCharges_1359 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1359.45 TotalCharges_1359.5 TotalCharges_1359.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_136.05 TotalCharges_136.75 TotalCharges_1360.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1362.85 TotalCharges_1363.25 TotalCharges_1363.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1364.3 TotalCharges_1364.75 TotalCharges_1367.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1369.8 TotalCharges_137.1 TotalCharges_137.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_137.6 TotalCharges_137.85 TotalCharges_137.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1370.35 TotalCharges_1372.45 TotalCharges_1372.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1373 TotalCharges_1373.05 TotalCharges_1374.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1374.35 TotalCharges_1374.9 TotalCharges_1375.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1375.4 TotalCharges_1375.6 TotalCharges_1376.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1377.7 TotalCharges_1378.25 TotalCharges_1378.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1378.75 TotalCharges_1379.6 TotalCharges_1379.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_138.85 TotalCharges_1380.1 TotalCharges_1380.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1381.2 TotalCharges_1381.8 TotalCharges_1382.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1383.6 TotalCharges_1384.75 TotalCharges_1385.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1386.8 TotalCharges_1386.9 TotalCharges_1387 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1387.35 TotalCharges_1387.45 TotalCharges_1388 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1388.45 TotalCharges_1388.75 TotalCharges_1389.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1389.35 TotalCharges_1389.6 TotalCharges_1389.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_139.05 TotalCharges_139.25 TotalCharges_139.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_139.4 TotalCharges_139.75 TotalCharges_1390.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1390.85 TotalCharges_1391.15 TotalCharges_1391.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1392.25 TotalCharges_1393.6 TotalCharges_1394.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1395.05 TotalCharges_1396 TotalCharges_1396.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1396.9 TotalCharges_1397.3 TotalCharges_1397.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1398.25 TotalCharges_1398.6 TotalCharges_1399.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_140.1 TotalCharges_140.4 TotalCharges_140.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_140.95 TotalCharges_1400.3 TotalCharges_1400.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1400.85 TotalCharges_1401.15 TotalCharges_1401.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1402.25 TotalCharges_1403.1 TotalCharges_1404.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1405.3 TotalCharges_1406 TotalCharges_1406.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1406.9 TotalCharges_141.1 TotalCharges_141.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_141.5 TotalCharges_141.6 TotalCharges_141.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_141.7 TotalCharges_1410.25 TotalCharges_1411.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1411.35 TotalCharges_1411.65 TotalCharges_1411.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1412.4 TotalCharges_1412.65 TotalCharges_1413 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1414.2 TotalCharges_1414.45 TotalCharges_1414.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1414.8 TotalCharges_1415 TotalCharges_1415.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1415.85 TotalCharges_1416.2 TotalCharges_1416.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1416.75 TotalCharges_1417.9 TotalCharges_1419.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_142.35 TotalCharges_1421.75 TotalCharges_1421.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1422.05 TotalCharges_1422.1 TotalCharges_1422.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1423.05 TotalCharges_1423.15 TotalCharges_1423.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1423.65 TotalCharges_1423.85 TotalCharges_1424.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1424.4 TotalCharges_1424.5 TotalCharges_1424.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1424.9 TotalCharges_1424.95 TotalCharges_1425.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1426.4 TotalCharges_1426.45 TotalCharges_1426.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1427.55 TotalCharges_1429.65 TotalCharges_143.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_143.65 TotalCharges_143.9 TotalCharges_1430.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1430.25 TotalCharges_1430.95 TotalCharges_1431.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1432.55 TotalCharges_1433.8 TotalCharges_1434.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1434.6 TotalCharges_1436.95 TotalCharges_1438.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1439.35 TotalCharges_144 TotalCharges_144.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_144.35 TotalCharges_144.55 TotalCharges_144.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_144.95 TotalCharges_1440.75 TotalCharges_1441.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1441.65 TotalCharges_1441.8 TotalCharges_1441.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1442 TotalCharges_1442.2 TotalCharges_1442.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1442.65 TotalCharges_1443.65 TotalCharges_1444.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1444.65 TotalCharges_1445.2 TotalCharges_1445.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1445.95 TotalCharges_1446.8 TotalCharges_1447.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1448.6 TotalCharges_1448.8 TotalCharges_145 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_145.15 TotalCharges_145.4 TotalCharges_1451.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1451.6 TotalCharges_1451.9 TotalCharges_1453.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1454.15 TotalCharges_1454.25 TotalCharges_1457.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1458.1 TotalCharges_1459.35 TotalCharges_146.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_146.3 TotalCharges_146.4 TotalCharges_146.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_146.65 TotalCharges_146.9 TotalCharges_1460.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1460.85 TotalCharges_1461.15 TotalCharges_1461.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1462.05 TotalCharges_1462.6 TotalCharges_1463.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1463.5 TotalCharges_1463.7 TotalCharges_1465.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1466.1 TotalCharges_1468.75 TotalCharges_1468.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_147.15 TotalCharges_147.5 TotalCharges_147.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_147.75 TotalCharges_147.8 TotalCharges_1470.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1470.95 TotalCharges_1471.75 TotalCharges_1474.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1474.75 TotalCharges_1474.9 TotalCharges_1476.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1477.65 TotalCharges_1478.85 TotalCharges_148.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1482.3 TotalCharges_1483.25 TotalCharges_1489.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_149.05 TotalCharges_149.55 TotalCharges_1490.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1490.95 TotalCharges_1492.1 TotalCharges_1493.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1493.2 TotalCharges_1493.55 TotalCharges_1493.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1494.5 TotalCharges_1495.1 TotalCharges_1496.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1496.9 TotalCharges_1497.05 TotalCharges_1497.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1498.2 TotalCharges_1498.35 TotalCharges_1498.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1498.65 TotalCharges_1498.85 TotalCharges_150 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_150.35 TotalCharges_150.6 TotalCharges_150.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_150.85 TotalCharges_1500.25 TotalCharges_1500.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1500.95 TotalCharges_1501.75 TotalCharges_1502.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1502.65 TotalCharges_1504.05 TotalCharges_1505.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1505.15 TotalCharges_1505.35 TotalCharges_1505.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1505.85 TotalCharges_1505.9 TotalCharges_1506.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1507 TotalCharges_1509.8 TotalCharges_1509.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_151.3 TotalCharges_151.65 TotalCharges_151.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False True False \n", + "\n", + " TotalCharges_151.8 TotalCharges_1510.3 TotalCharges_1510.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1511.2 TotalCharges_1513.6 TotalCharges_1514.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1515.1 TotalCharges_1516.6 TotalCharges_1517.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1519 TotalCharges_152.3 TotalCharges_152.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_152.6 TotalCharges_152.7 TotalCharges_152.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1520.1 TotalCharges_1520.9 TotalCharges_1521.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1522.65 TotalCharges_1522.7 TotalCharges_1523.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1524.85 TotalCharges_1525.35 TotalCharges_1527.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1527.5 TotalCharges_1529.2 TotalCharges_1529.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1529.65 TotalCharges_153.05 TotalCharges_153.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_153.8 TotalCharges_153.95 TotalCharges_1530.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1531.4 TotalCharges_1532.45 TotalCharges_1533.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1534.05 TotalCharges_1534.75 TotalCharges_1536.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1537.85 TotalCharges_1537.9 TotalCharges_1538.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1539.45 TotalCharges_1539.75 TotalCharges_1539.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_154.3 TotalCharges_154.55 TotalCharges_154.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_154.8 TotalCharges_154.85 TotalCharges_1540.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1540.2 TotalCharges_1540.35 TotalCharges_1544.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1545.4 TotalCharges_1546.3 TotalCharges_1547.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1548.65 TotalCharges_1549.75 TotalCharges_155.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_155.65 TotalCharges_155.8 TotalCharges_155.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1551.6 TotalCharges_1553.2 TotalCharges_1553.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1553.95 TotalCharges_1554 TotalCharges_1554.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1555.65 TotalCharges_1556.85 TotalCharges_1558.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1558.7 TotalCharges_1559.15 TotalCharges_1559.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1559.3 TotalCharges_1559.45 TotalCharges_156.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_156.25 TotalCharges_156.35 TotalCharges_156.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_156.85 TotalCharges_1561.5 TotalCharges_1563.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1563.95 TotalCharges_1564.05 TotalCharges_1564.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1565.7 TotalCharges_1566.75 TotalCharges_1566.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1567 TotalCharges_1567.55 TotalCharges_157.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_157.65 TotalCharges_157.75 TotalCharges_1570.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1573.05 TotalCharges_1573.7 TotalCharges_1573.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1574.45 TotalCharges_1574.5 TotalCharges_1579.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_158.35 TotalCharges_158.4 TotalCharges_158.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1580.1 TotalCharges_1581.2 TotalCharges_1581.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1582.75 TotalCharges_1583.5 TotalCharges_1584.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1587.55 TotalCharges_1588.25 TotalCharges_1588.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1588.75 TotalCharges_159.15 TotalCharges_159.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_159.35 TotalCharges_159.4 TotalCharges_159.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1592.35 TotalCharges_1593.1 TotalCharges_1594.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1595.5 TotalCharges_1596.6 TotalCharges_1597.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1597.25 TotalCharges_1597.4 TotalCharges_160.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_160.75 TotalCharges_160.8 TotalCharges_160.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1600.25 TotalCharges_1600.95 TotalCharges_1601.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1601.5 TotalCharges_1604.5 TotalCharges_1607.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1608.15 TotalCharges_161.15 TotalCharges_161.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_161.5 TotalCharges_161.65 TotalCharges_161.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1611 TotalCharges_1611.15 TotalCharges_1611.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1612.2 TotalCharges_1612.75 TotalCharges_1614.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1614.2 TotalCharges_1614.7 TotalCharges_1614.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1615.1 TotalCharges_1616.15 TotalCharges_1617.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1618.2 TotalCharges_162.15 TotalCharges_162.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_162.45 TotalCharges_162.55 TotalCharges_1620.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1620.25 TotalCharges_1620.45 TotalCharges_1620.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1621.35 TotalCharges_1622.45 TotalCharges_1623.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1623.4 TotalCharges_1625 TotalCharges_1625.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1626.05 TotalCharges_1626.4 TotalCharges_1629.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_163.2 TotalCharges_163.55 TotalCharges_163.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_163.7 TotalCharges_1630.4 TotalCharges_1633 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1636.95 TotalCharges_1637.3 TotalCharges_1637.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1638.7 TotalCharges_1639.3 TotalCharges_164.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_164.5 TotalCharges_164.6 TotalCharges_164.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1640 TotalCharges_1641.3 TotalCharges_1641.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1642.75 TotalCharges_1643.25 TotalCharges_1643.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1646.45 TotalCharges_1647 TotalCharges_1648.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_165 TotalCharges_165.2 TotalCharges_165.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_165.4 TotalCharges_165.45 TotalCharges_165.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1651.95 TotalCharges_1652.1 TotalCharges_1652.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1652.95 TotalCharges_1653.45 TotalCharges_1653.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1654.45 TotalCharges_1654.6 TotalCharges_1654.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1654.75 TotalCharges_1654.85 TotalCharges_1655.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1657.4 TotalCharges_166.3 TotalCharges_1660 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1662.05 TotalCharges_1663.5 TotalCharges_1663.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1664.3 TotalCharges_1665.2 TotalCharges_1667.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1669.4 TotalCharges_167.2 TotalCharges_167.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_167.5 TotalCharges_1671.6 TotalCharges_1672.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1672.15 TotalCharges_1672.35 TotalCharges_1673.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1673.8 TotalCharges_1676.95 TotalCharges_1677.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1678.05 TotalCharges_1679.25 TotalCharges_1679.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1679.65 TotalCharges_168.15 TotalCharges_168.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_168.5 TotalCharges_168.6 TotalCharges_168.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_168.9 TotalCharges_1680.25 TotalCharges_1681.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1682.05 TotalCharges_1682.4 TotalCharges_1683.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1683.7 TotalCharges_1685.9 TotalCharges_1686.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1686.85 TotalCharges_1687.95 TotalCharges_1688.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1689.45 TotalCharges_169.05 TotalCharges_169.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_169.65 TotalCharges_169.75 TotalCharges_169.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1691.9 TotalCharges_1692.6 TotalCharges_1696.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1697.7 TotalCharges_1698.55 TotalCharges_1699.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_170.5 TotalCharges_170.85 TotalCharges_170.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1700.9 TotalCharges_1701.65 TotalCharges_1702.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1704.95 TotalCharges_1706.45 TotalCharges_1709.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1709.15 TotalCharges_171 TotalCharges_171.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_171.45 TotalCharges_1710.15 TotalCharges_1710.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1710.9 TotalCharges_1712.7 TotalCharges_1712.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1713.1 TotalCharges_1714.55 TotalCharges_1714.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1715.1 TotalCharges_1715.15 TotalCharges_1715.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1716.45 TotalCharges_1718.2 TotalCharges_1718.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1718.95 TotalCharges_1719.15 TotalCharges_172.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_172.85 TotalCharges_1723.95 TotalCharges_1724.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1725 TotalCharges_1725.4 TotalCharges_1725.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1727.5 TotalCharges_1728.2 TotalCharges_1729.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_173 TotalCharges_173.15 TotalCharges_1730.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1730.65 TotalCharges_1732.6 TotalCharges_1732.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1733.15 TotalCharges_1734.2 TotalCharges_1734.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1734.65 TotalCharges_1737.45 TotalCharges_1738.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1739.6 TotalCharges_174.2 TotalCharges_174.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_174.45 TotalCharges_174.65 TotalCharges_174.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_174.75 TotalCharges_174.8 TotalCharges_1740.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1740.8 TotalCharges_1742.45 TotalCharges_1742.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1742.75 TotalCharges_1742.95 TotalCharges_1743.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1743.5 TotalCharges_1743.9 TotalCharges_1745.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1745.5 TotalCharges_1747.2 TotalCharges_1747.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1748.55 TotalCharges_1748.9 TotalCharges_1750.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1750.85 TotalCharges_1752.45 TotalCharges_1752.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1752.65 TotalCharges_1753 TotalCharges_1755.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1756.2 TotalCharges_1756.6 TotalCharges_1758.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1758.9 TotalCharges_1759.4 TotalCharges_1759.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_176.2 TotalCharges_176.3 TotalCharges_1760.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1761.05 TotalCharges_1761.45 TotalCharges_1763.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1764.75 TotalCharges_1765.95 TotalCharges_1766.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1767.35 TotalCharges_1769.6 TotalCharges_177.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1772.25 TotalCharges_1775.8 TotalCharges_1776 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1776.45 TotalCharges_1776.55 TotalCharges_1776.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1777.6 TotalCharges_1777.9 TotalCharges_1778.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1778.7 TotalCharges_1779.95 TotalCharges_178.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_178.5 TotalCharges_178.7 TotalCharges_178.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_178.85 TotalCharges_1781.35 TotalCharges_1782 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1782.05 TotalCharges_1782.4 TotalCharges_1783.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1783.75 TotalCharges_1784.5 TotalCharges_1784.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1785.65 TotalCharges_1787.35 TotalCharges_1789.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1789.65 TotalCharges_1789.9 TotalCharges_179.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_179.35 TotalCharges_179.85 TotalCharges_1790.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1790.35 TotalCharges_1790.6 TotalCharges_1790.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1790.8 TotalCharges_1793.25 TotalCharges_1794.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1794.8 TotalCharges_1796.55 TotalCharges_1797.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1797.75 TotalCharges_1798.65 TotalCharges_1798.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1799.3 TotalCharges_18.8 TotalCharges_18.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_18.9 TotalCharges_180.25 TotalCharges_180.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_180.7 TotalCharges_1800.05 TotalCharges_1801.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1801.9 TotalCharges_1802.15 TotalCharges_1802.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1803.7 TotalCharges_1806.35 TotalCharges_1808.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1809.35 TotalCharges_181.1 TotalCharges_181.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_181.6 TotalCharges_181.65 TotalCharges_181.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_181.8 TotalCharges_1810.55 TotalCharges_1810.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1813.1 TotalCharges_1813.35 TotalCharges_1815 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1815.3 TotalCharges_1815.65 TotalCharges_1816.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1816.75 TotalCharges_1818.3 TotalCharges_1818.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1820.45 TotalCharges_1820.9 TotalCharges_1821.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1821.8 TotalCharges_1821.95 TotalCharges_1825.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1826.7 TotalCharges_183.15 TotalCharges_183.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1830.05 TotalCharges_1830.1 TotalCharges_1832.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1834.15 TotalCharges_1834.95 TotalCharges_1835.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1836.25 TotalCharges_1836.9 TotalCharges_1837.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1837.9 TotalCharges_1838.15 TotalCharges_184.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_184.1 TotalCharges_184.15 TotalCharges_184.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_184.65 TotalCharges_184.95 TotalCharges_1840.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False True \n", + "4 False False False \n", + "\n", + " TotalCharges_1841.2 TotalCharges_1841.9 TotalCharges_1842.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1842.8 TotalCharges_1843.05 TotalCharges_1845.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1846.65 TotalCharges_1847.55 TotalCharges_1848.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1849.2 TotalCharges_1849.95 TotalCharges_185.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_185.4 TotalCharges_185.55 TotalCharges_185.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1850.65 TotalCharges_1851.45 TotalCharges_1852.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1855.65 TotalCharges_1856.4 TotalCharges_1857.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1857.3 TotalCharges_1857.75 TotalCharges_1857.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1859.1 TotalCharges_1859.2 TotalCharges_1859.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_186.05 TotalCharges_186.15 TotalCharges_186.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1861.1 TotalCharges_1861.5 TotalCharges_1862.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1863.8 TotalCharges_1864.2 TotalCharges_1864.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1866.45 TotalCharges_1867.6 TotalCharges_1867.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1868.4 TotalCharges_187.35 TotalCharges_187.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_187.75 TotalCharges_1871.15 TotalCharges_1871.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1872.2 TotalCharges_1873.7 TotalCharges_1874.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1874.45 TotalCharges_1875.25 TotalCharges_1875.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1879.25 TotalCharges_188.1 TotalCharges_188.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1880.85 TotalCharges_1882.55 TotalCharges_1882.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1884.65 TotalCharges_1885.15 TotalCharges_1886.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1886.4 TotalCharges_1887 TotalCharges_1888.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1888.45 TotalCharges_1888.65 TotalCharges_1889.5 \\\n", + "0 False False False \n", + "1 False False True \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_189.1 TotalCharges_189.2 TotalCharges_189.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_189.95 TotalCharges_1893.5 TotalCharges_1893.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1898.1 TotalCharges_1899.65 TotalCharges_19 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_19.05 TotalCharges_19.1 TotalCharges_19.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_19.2 TotalCharges_19.25 TotalCharges_19.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_19.4 TotalCharges_19.45 TotalCharges_19.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_19.55 TotalCharges_19.6 TotalCharges_19.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_19.7 TotalCharges_19.75 TotalCharges_19.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_19.85 TotalCharges_19.9 TotalCharges_19.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_190.05 TotalCharges_190.1 TotalCharges_190.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_190.5 TotalCharges_1900.25 TotalCharges_1901 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1901.05 TotalCharges_1901.25 TotalCharges_1901.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1902 TotalCharges_1905.4 TotalCharges_1905.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1907.85 TotalCharges_1908.35 TotalCharges_191.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_191.1 TotalCharges_191.35 TotalCharges_1910.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1910.75 TotalCharges_1911.5 TotalCharges_1912.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1912.85 TotalCharges_1914.5 TotalCharges_1914.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1916 TotalCharges_1916.2 TotalCharges_1917.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1923.5 TotalCharges_1923.85 TotalCharges_1924.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1927.3 TotalCharges_1928.7 TotalCharges_1929 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1929.35 TotalCharges_1929.95 TotalCharges_193.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_193.6 TotalCharges_193.8 TotalCharges_1930.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1931.3 TotalCharges_1931.75 TotalCharges_1932.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1934.45 TotalCharges_1936.85 TotalCharges_1937.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1938.05 TotalCharges_1938.9 TotalCharges_1939.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_194.2 TotalCharges_194.55 TotalCharges_1940.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1940.85 TotalCharges_1941.5 TotalCharges_1943.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1943.9 TotalCharges_1948.35 TotalCharges_1949.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_195.05 TotalCharges_195.3 TotalCharges_195.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1951 TotalCharges_1952.25 TotalCharges_1952.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1955.4 TotalCharges_1956.4 TotalCharges_1957.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1958.45 TotalCharges_1958.95 TotalCharges_1959.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_196.15 TotalCharges_196.35 TotalCharges_196.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_196.75 TotalCharges_196.9 TotalCharges_196.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1961.6 TotalCharges_1964.6 TotalCharges_1968.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_197.4 TotalCharges_197.7 TotalCharges_1970.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1971.15 TotalCharges_1971.5 TotalCharges_1972.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1973.75 TotalCharges_1974.8 TotalCharges_1975.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1978.65 TotalCharges_198 TotalCharges_198.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_198.25 TotalCharges_198.5 TotalCharges_198.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_198.7 TotalCharges_1980.3 TotalCharges_1982.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1982.6 TotalCharges_1983.15 TotalCharges_1985.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1988.05 TotalCharges_199.45 TotalCharges_199.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_199.85 TotalCharges_1990.5 TotalCharges_1992.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1992.55 TotalCharges_1992.85 TotalCharges_1992.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1993.2 TotalCharges_1993.25 TotalCharges_1993.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_1994.3 TotalCharges_20 TotalCharges_20.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_20.1 TotalCharges_20.15 TotalCharges_20.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_20.25 TotalCharges_20.3 TotalCharges_20.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_20.4 TotalCharges_20.45 TotalCharges_20.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_20.55 TotalCharges_20.6 TotalCharges_20.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_20.7 TotalCharges_20.75 TotalCharges_20.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_20.85 TotalCharges_20.9 TotalCharges_20.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_200.2 TotalCharges_2000.2 TotalCharges_2001 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2001.5 TotalCharges_2003.6 TotalCharges_2006.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2006.95 TotalCharges_2007.25 TotalCharges_2007.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_201 TotalCharges_201.1 TotalCharges_201.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_201.95 TotalCharges_2010.55 TotalCharges_2010.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2011.4 TotalCharges_2012.7 TotalCharges_2015.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2015.8 TotalCharges_2016.3 TotalCharges_2016.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2018.1 TotalCharges_2018.4 TotalCharges_2019.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_202.15 TotalCharges_202.25 TotalCharges_202.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_202.9 TotalCharges_2020.9 TotalCharges_2021.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2021.35 TotalCharges_2023.55 TotalCharges_2024.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2025.1 TotalCharges_2028.8 TotalCharges_2029.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_203.95 TotalCharges_2030.3 TotalCharges_2030.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2031.95 TotalCharges_2032.3 TotalCharges_2033.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2033.85 TotalCharges_2034.25 TotalCharges_2036.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2038.7 TotalCharges_204.55 TotalCharges_204.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2042.05 TotalCharges_2043.45 TotalCharges_2044.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2044.95 TotalCharges_2045.55 TotalCharges_2048.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2049.05 TotalCharges_205.05 TotalCharges_2053.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2054.4 TotalCharges_2058.5 TotalCharges_206.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_206.6 TotalCharges_2062.15 TotalCharges_2065.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2065.4 TotalCharges_2066 TotalCharges_2067 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2068.55 TotalCharges_207.35 TotalCharges_207.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2070.05 TotalCharges_2070.6 TotalCharges_2070.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2072.75 TotalCharges_2075.1 TotalCharges_2076.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2076.2 TotalCharges_2077.95 TotalCharges_2078.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2078.95 TotalCharges_208 TotalCharges_208.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_208.45 TotalCharges_208.7 TotalCharges_208.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2080.1 TotalCharges_2082.95 TotalCharges_2083.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2085.45 TotalCharges_2088.05 TotalCharges_2088.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2088.75 TotalCharges_2088.8 TotalCharges_209.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_209.9 TotalCharges_2090.25 TotalCharges_2092.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2093.4 TotalCharges_2093.9 TotalCharges_2094.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2094.9 TotalCharges_2095 TotalCharges_2096.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_21 TotalCharges_21.05 TotalCharges_21.1 TotalCharges_210.3 \\\n", + "0 False False False False \n", + "1 False False False False \n", + "2 False False False False \n", + "3 False False False False \n", + "4 False False False False \n", + "\n", + " TotalCharges_210.65 TotalCharges_210.75 TotalCharges_2104.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2106.05 TotalCharges_2106.3 TotalCharges_2107.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2108.35 TotalCharges_2109.35 TotalCharges_211.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2110.15 TotalCharges_2111.3 TotalCharges_2111.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2117.2 TotalCharges_2117.25 TotalCharges_2119.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_212.3 TotalCharges_212.4 TotalCharges_2122.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2122.45 TotalCharges_213.35 TotalCharges_2130.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2130.55 TotalCharges_2134.3 TotalCharges_2135.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2136.9 TotalCharges_2139.1 TotalCharges_2139.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_214.4 TotalCharges_214.55 TotalCharges_214.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2142.8 TotalCharges_2145 TotalCharges_2146.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2149.05 TotalCharges_215.2 TotalCharges_215.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_215.8 TotalCharges_2151.6 TotalCharges_2156.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2157.3 TotalCharges_2157.5 TotalCharges_2157.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_216.2 TotalCharges_216.45 TotalCharges_216.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_216.9 TotalCharges_2162.6 TotalCharges_2165.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2168.15 TotalCharges_2168.9 TotalCharges_2169.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2169.75 TotalCharges_2169.8 TotalCharges_217.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_217.45 TotalCharges_217.5 TotalCharges_217.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2171.15 TotalCharges_2172.05 TotalCharges_2177.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2178.6 TotalCharges_218.5 TotalCharges_218.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2180.55 TotalCharges_2181.55 TotalCharges_2181.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2184.35 TotalCharges_2184.6 TotalCharges_2184.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2186.4 TotalCharges_2187.15 TotalCharges_2187.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2188.45 TotalCharges_2188.5 TotalCharges_219 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_219.35 TotalCharges_219.5 TotalCharges_219.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2191.15 TotalCharges_2191.7 TotalCharges_2192.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2193 TotalCharges_2193.2 TotalCharges_2193.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2196.15 TotalCharges_2196.3 TotalCharges_2196.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2198.3 TotalCharges_2198.9 TotalCharges_2199.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_220.1 TotalCharges_220.35 TotalCharges_220.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_220.45 TotalCharges_220.6 TotalCharges_220.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_220.75 TotalCharges_220.8 TotalCharges_220.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2200.25 TotalCharges_2200.7 TotalCharges_2201.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2203.1 TotalCharges_2203.65 TotalCharges_2203.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2204.35 TotalCharges_2208.05 TotalCharges_2208.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2209.15 TotalCharges_2209.75 TotalCharges_221.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_221.35 TotalCharges_221.7 TotalCharges_221.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2210.2 TotalCharges_2211.8 TotalCharges_2212.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2215 TotalCharges_2215.25 TotalCharges_2215.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2215.45 TotalCharges_2217.15 TotalCharges_222.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_222.65 TotalCharges_2220.1 TotalCharges_2221.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2224.5 TotalCharges_2227.1 TotalCharges_2227.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_223.15 TotalCharges_223.45 TotalCharges_223.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_223.75 TotalCharges_223.9 TotalCharges_2230.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2231.05 TotalCharges_2234.55 TotalCharges_2234.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2236.2 TotalCharges_2237.55 TotalCharges_2238.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2239.4 TotalCharges_2239.65 TotalCharges_224.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_224.5 TotalCharges_224.85 TotalCharges_2243.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2244.95 TotalCharges_2245.4 TotalCharges_2248.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2249.1 TotalCharges_2249.95 TotalCharges_225.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_225.6 TotalCharges_225.65 TotalCharges_225.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_225.85 TotalCharges_2250.65 TotalCharges_2254.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2257.75 TotalCharges_2258.25 TotalCharges_2259.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_226.2 TotalCharges_226.45 TotalCharges_226.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_226.8 TotalCharges_226.95 TotalCharges_2263.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2263.45 TotalCharges_2264.05 TotalCharges_2264.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2265 TotalCharges_2265.25 TotalCharges_227.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_227.45 TotalCharges_2271.85 TotalCharges_2272.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2274.1 TotalCharges_2274.35 TotalCharges_2274.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2275.1 TotalCharges_2276.1 TotalCharges_2276.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2277.65 TotalCharges_2278.75 TotalCharges_228 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_228.4 TotalCharges_228.65 TotalCharges_228.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2281.6 TotalCharges_2282.55 TotalCharges_2282.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2283.15 TotalCharges_2283.3 TotalCharges_2287.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2288.7 TotalCharges_2289.9 TotalCharges_229.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_229.5 TotalCharges_229.55 TotalCharges_229.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_229.7 TotalCharges_2291.2 TotalCharges_2292.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2293.6 TotalCharges_2296.25 TotalCharges_2298.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2298.9 TotalCharges_23.45 TotalCharges_2301.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2302.35 TotalCharges_2303.35 TotalCharges_2308.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2309.55 TotalCharges_231.45 TotalCharges_231.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2310.2 TotalCharges_2312.55 TotalCharges_2313.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2316.85 TotalCharges_2317.1 TotalCharges_2319.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_232.1 TotalCharges_232.35 TotalCharges_232.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_232.5 TotalCharges_232.55 TotalCharges_2320.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2322.85 TotalCharges_2324.7 TotalCharges_2326.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_233.55 TotalCharges_233.65 TotalCharges_233.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_233.9 TotalCharges_2331.3 TotalCharges_2333.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2333.85 TotalCharges_2335.3 TotalCharges_2337.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2338.35 TotalCharges_2339.3 TotalCharges_234.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2341.5 TotalCharges_2341.55 TotalCharges_2342.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2343.85 TotalCharges_2344.5 TotalCharges_2345.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2345.55 TotalCharges_2347.85 TotalCharges_2347.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2348.45 TotalCharges_2349.8 TotalCharges_235 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_235.05 TotalCharges_235.1 TotalCharges_235.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_235.5 TotalCharges_235.65 TotalCharges_235.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2351.45 TotalCharges_2351.8 TotalCharges_2354.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2356.75 TotalCharges_2357.75 TotalCharges_2361.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2362.1 TotalCharges_2364 TotalCharges_2365.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2368.4 TotalCharges_2369.05 TotalCharges_2369.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2369.7 TotalCharges_237.2 TotalCharges_237.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_237.3 TotalCharges_237.65 TotalCharges_237.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_237.75 TotalCharges_237.95 TotalCharges_2375.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2375.4 TotalCharges_2379.1 TotalCharges_238.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_238.15 TotalCharges_238.5 TotalCharges_2381.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2383.6 TotalCharges_2384.15 TotalCharges_2386.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2387.75 TotalCharges_239 TotalCharges_239.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_239.45 TotalCharges_239.55 TotalCharges_239.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2390.45 TotalCharges_2391.15 TotalCharges_2391.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2395.05 TotalCharges_2395.7 TotalCharges_2398.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_24 TotalCharges_24.05 TotalCharges_24.2 TotalCharges_24.25 \\\n", + "0 False False False False \n", + "1 False False False False \n", + "2 False False False False \n", + "3 False False False False \n", + "4 False False False False \n", + "\n", + " TotalCharges_24.4 TotalCharges_24.45 TotalCharges_24.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_24.7 TotalCharges_24.75 TotalCharges_24.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_24.9 TotalCharges_240.45 TotalCharges_2401.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2404.1 TotalCharges_2404.15 TotalCharges_2404.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2405.05 TotalCharges_2406.1 TotalCharges_2407.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2409.9 TotalCharges_241.3 TotalCharges_2413.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2414.55 TotalCharges_2415.95 TotalCharges_2416.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2416.55 TotalCharges_2419 TotalCharges_2419.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_242 TotalCharges_242.05 TotalCharges_242.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_242.8 TotalCharges_242.95 TotalCharges_2421.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2421.75 TotalCharges_2423.4 TotalCharges_2424.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2424.45 TotalCharges_2424.5 TotalCharges_2425.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2427.1 TotalCharges_2427.35 TotalCharges_2429.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_243.65 TotalCharges_2431.35 TotalCharges_2431.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2433.5 TotalCharges_2433.9 TotalCharges_2434.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2435.15 TotalCharges_2438.6 TotalCharges_244.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_244.45 TotalCharges_244.65 TotalCharges_244.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_244.8 TotalCharges_244.85 TotalCharges_2440.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2440.25 TotalCharges_2441.7 TotalCharges_2443.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2444.25 TotalCharges_2447.45 TotalCharges_2447.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2448.5 TotalCharges_2448.75 TotalCharges_245.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_245.2 TotalCharges_2452.7 TotalCharges_2453.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2455.05 TotalCharges_2459.8 TotalCharges_246.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_246.3 TotalCharges_246.5 TotalCharges_246.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_246.7 TotalCharges_2460.15 TotalCharges_2460.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2460.55 TotalCharges_2462.55 TotalCharges_2462.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2467.1 TotalCharges_2467.75 TotalCharges_247 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_247.25 TotalCharges_2470.1 TotalCharges_2471.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2471.6 TotalCharges_2473.95 TotalCharges_2475.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2479.05 TotalCharges_2479.25 TotalCharges_248.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_248.95 TotalCharges_2483.05 TotalCharges_2483.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2483.65 TotalCharges_2484 TotalCharges_249.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_249.55 TotalCharges_249.95 TotalCharges_2490.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2492.25 TotalCharges_2494.65 TotalCharges_2495.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2495.2 TotalCharges_2496.7 TotalCharges_2497.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2497.35 TotalCharges_2498.4 TotalCharges_2499.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_25 TotalCharges_25.05 TotalCharges_25.1 TotalCharges_25.15 \\\n", + "0 False False False False \n", + "1 False False False False \n", + "2 False False False False \n", + "3 False False False False \n", + "4 False False False False \n", + "\n", + " TotalCharges_25.2 TotalCharges_25.25 TotalCharges_25.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_25.35 TotalCharges_25.4 TotalCharges_25.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_25.75 TotalCharges_25.8 TotalCharges_25.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_250.05 TotalCharges_250.1 TotalCharges_250.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2509.25 TotalCharges_2509.95 TotalCharges_251.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_251.6 TotalCharges_251.65 TotalCharges_251.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2510.2 TotalCharges_2510.7 TotalCharges_2511.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2511.55 TotalCharges_2511.95 TotalCharges_2513.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2514.5 TotalCharges_2515.3 TotalCharges_2516.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_252 TotalCharges_252.75 TotalCharges_2522.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2524.45 TotalCharges_253 TotalCharges_253.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_253.9 TotalCharges_2530.4 TotalCharges_2531.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2531.8 TotalCharges_2535.55 TotalCharges_2536.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2537 TotalCharges_2538.05 TotalCharges_2538.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_254.5 TotalCharges_2540.1 TotalCharges_2541.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2542.45 TotalCharges_2545.7 TotalCharges_2545.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2546.85 TotalCharges_2548.55 TotalCharges_2548.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2549.1 TotalCharges_255.25 TotalCharges_255.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_255.5 TotalCharges_255.55 TotalCharges_255.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2550.9 TotalCharges_2552.9 TotalCharges_2553.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2553.7 TotalCharges_2554 TotalCharges_2555.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2555.9 TotalCharges_256.25 TotalCharges_256.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_256.75 TotalCharges_2560.1 TotalCharges_2564.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2564.95 TotalCharges_2566.3 TotalCharges_2566.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2568.15 TotalCharges_2568.55 TotalCharges_257 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_257.05 TotalCharges_257.6 TotalCharges_2570 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2570.2 TotalCharges_2572.95 TotalCharges_2575.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2576.2 TotalCharges_2576.8 TotalCharges_258.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2583.75 TotalCharges_2585.95 TotalCharges_2586 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2587.7 TotalCharges_2588.95 TotalCharges_259.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_259.65 TotalCharges_259.8 TotalCharges_2595.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2595.85 TotalCharges_2596.15 TotalCharges_2597.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2598.95 TotalCharges_2599.95 TotalCharges_260.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_260.8 TotalCharges_260.9 TotalCharges_2602.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2603.1 TotalCharges_2603.3 TotalCharges_2603.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2606.35 TotalCharges_2607.6 TotalCharges_261.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_261.3 TotalCharges_261.65 TotalCharges_2610.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2613.4 TotalCharges_2614.1 TotalCharges_2618.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2619.15 TotalCharges_2619.25 TotalCharges_262.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_262.3 TotalCharges_2621.75 TotalCharges_2623.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2624.25 TotalCharges_2625.25 TotalCharges_2625.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2626.15 TotalCharges_2627.2 TotalCharges_2627.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2628.6 TotalCharges_263.05 TotalCharges_263.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2633.3 TotalCharges_2633.4 TotalCharges_2633.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2635 TotalCharges_2636.05 TotalCharges_2638.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_264.55 TotalCharges_264.8 TotalCharges_264.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2640.55 TotalCharges_2642.05 TotalCharges_2647.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2647.2 TotalCharges_2649.15 TotalCharges_265.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_265.35 TotalCharges_265.45 TotalCharges_265.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_265.8 TotalCharges_2651.1 TotalCharges_2651.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2653.65 TotalCharges_2654.05 TotalCharges_2655.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2656.3 TotalCharges_2656.5 TotalCharges_2656.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2657.55 TotalCharges_2658.4 TotalCharges_2658.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2659.4 TotalCharges_2659.45 TotalCharges_266.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_266.8 TotalCharges_266.9 TotalCharges_266.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2660.2 TotalCharges_2661.1 TotalCharges_2664.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2665 TotalCharges_2666.75 TotalCharges_2669.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_267 TotalCharges_267.35 TotalCharges_267.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_267.6 TotalCharges_2673.45 TotalCharges_2674.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2679.7 TotalCharges_268.35 TotalCharges_268.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_268.45 TotalCharges_2680.15 TotalCharges_2681.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2683.2 TotalCharges_2684.35 TotalCharges_2684.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2686.05 TotalCharges_2688.45 TotalCharges_2688.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2689.35 TotalCharges_269.65 TotalCharges_2692.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2696.55 TotalCharges_2697.4 TotalCharges_2698.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_27.55 TotalCharges_270.15 TotalCharges_270.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_270.6 TotalCharges_270.7 TotalCharges_270.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_270.95 TotalCharges_2708.2 TotalCharges_2710.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2715.3 TotalCharges_2716.3 TotalCharges_2718.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2719.2 TotalCharges_272 TotalCharges_272.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_272.2 TotalCharges_272.35 TotalCharges_272.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2722.2 TotalCharges_2723.15 TotalCharges_2723.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2723.75 TotalCharges_2724.25 TotalCharges_2724.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2727.3 TotalCharges_2727.8 TotalCharges_2728.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_273 TotalCharges_273.2 TotalCharges_273.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_273.4 TotalCharges_273.75 TotalCharges_2730.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2731 TotalCharges_2737.05 TotalCharges_274.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_274.7 TotalCharges_2743.45 TotalCharges_2745.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2745.7 TotalCharges_2747.2 TotalCharges_2748.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_275.4 TotalCharges_275.7 TotalCharges_275.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2751 TotalCharges_2753.8 TotalCharges_2754 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2754.45 TotalCharges_2755.35 TotalCharges_2757.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2758.15 TotalCharges_276.5 TotalCharges_2762.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2763 TotalCharges_2763.35 TotalCharges_2766.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2768.35 TotalCharges_2768.65 TotalCharges_2773.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2774.55 TotalCharges_2779.5 TotalCharges_278.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_278.85 TotalCharges_2780.6 TotalCharges_2781.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2782.4 TotalCharges_2789.7 TotalCharges_279.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_279.25 TotalCharges_279.3 TotalCharges_279.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_279.55 TotalCharges_2790.65 TotalCharges_2791.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2793.55 TotalCharges_2796.35 TotalCharges_2796.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2799 TotalCharges_2799.75 TotalCharges_28.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_280 TotalCharges_280.35 TotalCharges_280.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_280.85 TotalCharges_2802.3 TotalCharges_2804.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2806.9 TotalCharges_2807.1 TotalCharges_2807.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2809.05 TotalCharges_281 TotalCharges_2812.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2813.05 TotalCharges_2815.25 TotalCharges_2816.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2820.65 TotalCharges_2823 TotalCharges_283.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_283.95 TotalCharges_2830.45 TotalCharges_2832.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2835.5 TotalCharges_2835.9 TotalCharges_2838.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2838.7 TotalCharges_2839.45 TotalCharges_2839.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2839.95 TotalCharges_284.3 TotalCharges_284.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_284.9 TotalCharges_2841.55 TotalCharges_2845.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2847.2 TotalCharges_2847.4 TotalCharges_2848.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_285.2 TotalCharges_2852.4 TotalCharges_2854.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2854.95 TotalCharges_2857.6 TotalCharges_286.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2861.45 TotalCharges_2862.55 TotalCharges_2862.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2866.45 TotalCharges_2867.75 TotalCharges_2868.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2868.15 TotalCharges_2869.85 TotalCharges_287.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_287.85 TotalCharges_2871.5 TotalCharges_2874.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2874.45 TotalCharges_2877.05 TotalCharges_2877.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2878.55 TotalCharges_2878.75 TotalCharges_2879.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2879.9 TotalCharges_288.05 TotalCharges_288.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2882.25 TotalCharges_2884.9 TotalCharges_2888.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_289.1 TotalCharges_289.3 TotalCharges_2890.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2893.4 TotalCharges_2894.55 TotalCharges_2896.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2896.55 TotalCharges_2896.6 TotalCharges_2897.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2898.95 TotalCharges_29.15 TotalCharges_29.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_29.85 TotalCharges_29.9 TotalCharges_29.95 \\\n", + "0 True False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_290.55 TotalCharges_2901.8 TotalCharges_2907.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2907.55 TotalCharges_2908.2 TotalCharges_2909.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_291.4 TotalCharges_291.45 TotalCharges_291.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2911.3 TotalCharges_2911.5 TotalCharges_2911.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2917.5 TotalCharges_2917.65 TotalCharges_2919.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_292.4 TotalCharges_292.8 TotalCharges_292.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2921.75 TotalCharges_2924.05 TotalCharges_2928.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2929.75 TotalCharges_293.15 TotalCharges_293.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_293.65 TotalCharges_293.85 TotalCharges_2931 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2933.2 TotalCharges_2933.95 TotalCharges_2934.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2936.25 TotalCharges_2937.65 TotalCharges_2939.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_294.2 TotalCharges_294.45 TotalCharges_294.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_294.9 TotalCharges_294.95 TotalCharges_2948.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_295.55 TotalCharges_295.65 TotalCharges_295.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2952.85 TotalCharges_2954.5 TotalCharges_2958.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2959.8 TotalCharges_296.1 TotalCharges_296.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2960.1 TotalCharges_2961.4 TotalCharges_2962 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2964 TotalCharges_2964.05 TotalCharges_2964.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2965.75 TotalCharges_2966.95 TotalCharges_2967.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_297.3 TotalCharges_297.35 TotalCharges_2970.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2970.8 TotalCharges_2971.7 TotalCharges_2974.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2976.95 TotalCharges_2978.3 TotalCharges_2979.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2979.3 TotalCharges_2979.5 TotalCharges_298.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_298.45 TotalCharges_298.7 TotalCharges_2983.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2983.8 TotalCharges_2985.25 TotalCharges_2989.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_299.05 TotalCharges_299.2 TotalCharges_299.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_299.4 TotalCharges_299.7 TotalCharges_299.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_2995.45 TotalCharges_2997.45 TotalCharges_2998 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_30.2 TotalCharges_30.5 TotalCharges_30.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_300.4 TotalCharges_300.7 TotalCharges_300.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3000.25 TotalCharges_3001.2 TotalCharges_3003.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3004.15 TotalCharges_3005.8 TotalCharges_3007.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3008.15 TotalCharges_3008.55 TotalCharges_3009.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_301.4 TotalCharges_301.55 TotalCharges_301.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3011.65 TotalCharges_3013.05 TotalCharges_3014.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3015.75 TotalCharges_3017.65 TotalCharges_3019.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3019.25 TotalCharges_3019.5 TotalCharges_3019.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_302.35 TotalCharges_302.45 TotalCharges_302.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_302.75 TotalCharges_3021.3 TotalCharges_3021.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3021.6 TotalCharges_3023.55 TotalCharges_3023.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3023.85 TotalCharges_3024.15 TotalCharges_3027.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3027.4 TotalCharges_3027.65 TotalCharges_3029.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_303.15 TotalCharges_303.7 TotalCharges_3030.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3035.35 TotalCharges_3035.8 TotalCharges_3036.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3038.55 TotalCharges_304.6 TotalCharges_3042.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3043.6 TotalCharges_3043.7 TotalCharges_3045.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3046.05 TotalCharges_3046.15 TotalCharges_3046.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3047.15 TotalCharges_305.1 TotalCharges_305.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_305.95 TotalCharges_3050.15 TotalCharges_3053 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3055.5 TotalCharges_3058.15 TotalCharges_3058.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3058.65 TotalCharges_306.05 TotalCharges_306.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3062.45 TotalCharges_3066.45 TotalCharges_3067.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3068.6 TotalCharges_3069.45 TotalCharges_307 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_307.4 TotalCharges_307.6 TotalCharges_3077 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3078.1 TotalCharges_308.05 TotalCharges_308.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_308.25 TotalCharges_308.7 TotalCharges_3082.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3084.9 TotalCharges_3085.35 TotalCharges_3088.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3088.75 TotalCharges_3089.1 TotalCharges_3089.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_309.1 TotalCharges_309.25 TotalCharges_309.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_309.4 TotalCharges_3090.05 TotalCharges_3090.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3091.75 TotalCharges_3092 TotalCharges_3092.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3094.05 TotalCharges_3094.65 TotalCharges_3096.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3097 TotalCharges_3097.2 TotalCharges_31.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_31.35 TotalCharges_31.55 TotalCharges_31.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_310.6 TotalCharges_3103.25 TotalCharges_3105.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3107.3 TotalCharges_3109.9 TotalCharges_311.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3110.1 TotalCharges_3112.05 TotalCharges_3116.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3119.9 TotalCharges_312.7 TotalCharges_3121.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3121.4 TotalCharges_3121.45 TotalCharges_3122.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3124.5 TotalCharges_3126.45 TotalCharges_3126.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3128.8 TotalCharges_313 TotalCharges_313.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_313.45 TotalCharges_313.6 TotalCharges_3131.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3131.8 TotalCharges_3132.75 TotalCharges_3134.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3139.8 TotalCharges_314.45 TotalCharges_314.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_314.6 TotalCharges_314.95 TotalCharges_3141.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3143.65 TotalCharges_3145.15 TotalCharges_3145.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3147.15 TotalCharges_3147.5 TotalCharges_315.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3152.5 TotalCharges_3157 TotalCharges_316.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_316.9 TotalCharges_3160.55 TotalCharges_3161.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3161.4 TotalCharges_3161.6 TotalCharges_3162.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3165.6 TotalCharges_3166.9 TotalCharges_3168 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3168.75 TotalCharges_3169.55 TotalCharges_317.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_317.75 TotalCharges_3171.15 TotalCharges_3171.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3173.35 TotalCharges_3175.85 TotalCharges_3177.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_318.1 TotalCharges_318.5 TotalCharges_318.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_318.9 TotalCharges_3180.5 TotalCharges_3181.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3182.95 TotalCharges_3183.4 TotalCharges_3184.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3186.65 TotalCharges_3186.7 TotalCharges_3187.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_319.15 TotalCharges_319.6 TotalCharges_319.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3190.25 TotalCharges_3190.65 TotalCharges_3196 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3198.6 TotalCharges_3199 TotalCharges_32.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_320.4 TotalCharges_320.45 TotalCharges_3201.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3204.4 TotalCharges_3204.65 TotalCharges_3205.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3207.55 TotalCharges_3208.65 TotalCharges_321.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_321.4 TotalCharges_321.65 TotalCharges_321.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_321.75 TotalCharges_321.9 TotalCharges_3210.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3211.2 TotalCharges_3211.9 TotalCharges_3213.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3217.55 TotalCharges_3217.65 TotalCharges_3219.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_322.5 TotalCharges_322.9 TotalCharges_3221.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3229.4 TotalCharges_3229.65 TotalCharges_323.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_323.25 TotalCharges_323.45 TotalCharges_3231.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3233.6 TotalCharges_3233.85 TotalCharges_3236.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3237.05 TotalCharges_3238.4 TotalCharges_324.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_324.2 TotalCharges_324.25 TotalCharges_324.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_324.6 TotalCharges_324.8 TotalCharges_3242.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3243.45 TotalCharges_3244.4 TotalCharges_3246.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3247.55 TotalCharges_3249.4 TotalCharges_325.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3250.45 TotalCharges_3251.3 TotalCharges_3251.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3252 TotalCharges_3254.35 TotalCharges_3255.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_326.65 TotalCharges_326.8 TotalCharges_3260.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3263.6 TotalCharges_3263.9 TotalCharges_3264.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3264.5 TotalCharges_3265.95 TotalCharges_3266 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3268.05 TotalCharges_327.45 TotalCharges_3270.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3273.55 TotalCharges_3273.8 TotalCharges_3273.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3274.35 TotalCharges_3275.15 TotalCharges_328.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3281.65 TotalCharges_3282.75 TotalCharges_3283.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_329.75 TotalCharges_329.8 TotalCharges_329.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3292.3 TotalCharges_3297 TotalCharges_33.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_33.6 TotalCharges_33.7 TotalCharges_330.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_330.15 TotalCharges_330.25 TotalCharges_330.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_330.8 TotalCharges_3301.05 TotalCharges_3303.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3306.85 TotalCharges_3309.25 TotalCharges_331.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_331.35 TotalCharges_331.6 TotalCharges_331.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_331.9 TotalCharges_3313.4 TotalCharges_3314.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3316.1 TotalCharges_332.45 TotalCharges_332.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_332.65 TotalCharges_3320.6 TotalCharges_3320.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3321.35 TotalCharges_3326.2 TotalCharges_3327.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_333.55 TotalCharges_333.6 TotalCharges_333.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3330.1 TotalCharges_3334.9 TotalCharges_3334.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3339.05 TotalCharges_334.65 TotalCharges_334.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3340.55 TotalCharges_3342 TotalCharges_3342.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3343.15 TotalCharges_3344.1 TotalCharges_3346.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3348.1 TotalCharges_3349.1 TotalCharges_335.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_335.65 TotalCharges_335.75 TotalCharges_335.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3351.55 TotalCharges_3353.4 TotalCharges_3355.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3357.9 TotalCharges_3358.65 TotalCharges_336.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_336.7 TotalCharges_3361.05 TotalCharges_3363.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3364.55 TotalCharges_3365.4 TotalCharges_3365.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3366.05 TotalCharges_3369.05 TotalCharges_3369.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_337.9 TotalCharges_3370.2 TotalCharges_3371 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3371.75 TotalCharges_3373.4 TotalCharges_3375.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3377.8 TotalCharges_3379.25 TotalCharges_338.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_338.9 TotalCharges_3382.3 TotalCharges_3384 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3389.25 TotalCharges_339.9 TotalCharges_3395.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3398.9 TotalCharges_3399.85 TotalCharges_34.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_34.75 TotalCharges_34.8 TotalCharges_340.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_340.35 TotalCharges_340.4 TotalCharges_340.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3403.4 TotalCharges_3409.1 TotalCharges_3409.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_341.35 TotalCharges_341.45 TotalCharges_341.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3410 TotalCharges_3410.6 TotalCharges_3413.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3414.65 TotalCharges_3415.25 TotalCharges_3416.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3418.2 TotalCharges_3419.3 TotalCharges_3419.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_342.3 TotalCharges_342.4 TotalCharges_3420.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3423.5 TotalCharges_3425.35 TotalCharges_343.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_343.6 TotalCharges_343.95 TotalCharges_3431.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3432.9 TotalCharges_3435.6 TotalCharges_3436.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3437.45 TotalCharges_3437.5 TotalCharges_3439 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_344.2 TotalCharges_344.5 TotalCharges_3440.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3442.15 TotalCharges_3442.8 TotalCharges_3444.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_345.5 TotalCharges_345.9 TotalCharges_3450.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3452.55 TotalCharges_3454.6 TotalCharges_3457.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3457.9 TotalCharges_346.2 TotalCharges_346.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_346.45 TotalCharges_3460.3 TotalCharges_3460.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3462.1 TotalCharges_3465.05 TotalCharges_3465.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3467 TotalCharges_347.25 TotalCharges_347.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_347.65 TotalCharges_3470.8 TotalCharges_3471.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3472.05 TotalCharges_3473.4 TotalCharges_3474.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3474.2 TotalCharges_3474.45 TotalCharges_3475.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3478.15 TotalCharges_3478.75 TotalCharges_3479.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_348.15 TotalCharges_348.8 TotalCharges_3480 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3480.35 TotalCharges_3482.85 TotalCharges_3483.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3486.65 TotalCharges_3487.95 TotalCharges_3488.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_349.65 TotalCharges_349.8 TotalCharges_3491.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3496.3 TotalCharges_35 TotalCharges_35.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_35.1 TotalCharges_35.25 TotalCharges_35.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_35.55 TotalCharges_35.75 TotalCharges_35.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_35.9 TotalCharges_350.1 TotalCharges_350.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_350.35 TotalCharges_3503.5 TotalCharges_3505.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3509.4 TotalCharges_351.5 TotalCharges_351.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3510.3 TotalCharges_3512.15 TotalCharges_3512.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3512.9 TotalCharges_3515.25 TotalCharges_3517.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_352.65 TotalCharges_3520.75 TotalCharges_3521.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3522.65 TotalCharges_3527 TotalCharges_3527.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3527.6 TotalCharges_3529.95 TotalCharges_353.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3532 TotalCharges_3532.25 TotalCharges_3532.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3533.6 TotalCharges_3539.25 TotalCharges_354.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3540.65 TotalCharges_3541.1 TotalCharges_3541.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3541.4 TotalCharges_3545.05 TotalCharges_3545.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3545.35 TotalCharges_3548.3 TotalCharges_3549.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_355.1 TotalCharges_355.2 TotalCharges_355.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3551.65 TotalCharges_3554.6 TotalCharges_3557.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_356.1 TotalCharges_356.15 TotalCharges_356.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3561.15 TotalCharges_3562.5 TotalCharges_3563.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3565.65 TotalCharges_3566.6 TotalCharges_3566.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_357 TotalCharges_357.15 TotalCharges_357.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_357.7 TotalCharges_357.75 TotalCharges_3571.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3574.5 TotalCharges_3579.15 TotalCharges_358.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_358.15 TotalCharges_358.5 TotalCharges_3580.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3580.95 TotalCharges_3581.4 TotalCharges_3581.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3582.4 TotalCharges_3587.25 TotalCharges_3588.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_359.4 TotalCharges_3590.2 TotalCharges_3591.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3593.8 TotalCharges_3597.5 TotalCharges_36.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_36.55 TotalCharges_36.8 TotalCharges_360.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_360.35 TotalCharges_360.55 TotalCharges_3600.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3603.45 TotalCharges_3605.2 TotalCharges_3605.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3608 TotalCharges_3615.6 TotalCharges_3616.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3617.1 TotalCharges_3618.7 TotalCharges_362.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_362.6 TotalCharges_3623.95 TotalCharges_3624.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3624.35 TotalCharges_3625.2 TotalCharges_3626.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3626.35 TotalCharges_3627.3 TotalCharges_3629.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_363.15 TotalCharges_3632 TotalCharges_3634.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3635.15 TotalCharges_3638.25 TotalCharges_364.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3640.45 TotalCharges_3641.5 TotalCharges_3645.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3645.5 TotalCharges_3645.6 TotalCharges_3645.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3646.8 TotalCharges_3649.6 TotalCharges_365.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_365.4 TotalCharges_365.55 TotalCharges_365.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_365.8 TotalCharges_3650.35 TotalCharges_3653 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3653.35 TotalCharges_3655.45 TotalCharges_3656.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3662.25 TotalCharges_3665.55 TotalCharges_367.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_367.95 TotalCharges_3670.5 TotalCharges_3673.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3673.6 TotalCharges_3674.95 TotalCharges_3678.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_368.1 TotalCharges_368.85 TotalCharges_3682.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3684.95 TotalCharges_3686.05 TotalCharges_3687.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3687.85 TotalCharges_3688.6 TotalCharges_369.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_369.1 TotalCharges_369.15 TotalCharges_369.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_369.3 TotalCharges_369.6 TotalCharges_3691.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3692.85 TotalCharges_3694.45 TotalCharges_3694.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_37.2 TotalCharges_370.25 TotalCharges_370.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_370.5 TotalCharges_370.65 TotalCharges_3704.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3706.95 TotalCharges_3707.6 TotalCharges_3708.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_371.4 TotalCharges_371.6 TotalCharges_371.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_371.9 TotalCharges_3713.95 TotalCharges_3715.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_372.45 TotalCharges_3720.35 TotalCharges_3721.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3723.65 TotalCharges_3725.5 TotalCharges_3726.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3729.6 TotalCharges_3729.75 TotalCharges_373 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_373.5 TotalCharges_3734.25 TotalCharges_3735.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3739.8 TotalCharges_374 TotalCharges_374.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_374.8 TotalCharges_3741.85 TotalCharges_3744.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_375.25 TotalCharges_3751.15 TotalCharges_3753.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3754.6 TotalCharges_3756.4 TotalCharges_3756.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3759.05 TotalCharges_3762 TotalCharges_3765.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3766.2 TotalCharges_3767.4 TotalCharges_3769.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_377.55 TotalCharges_377.85 TotalCharges_3770 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3771.5 TotalCharges_3772.5 TotalCharges_3772.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3775.85 TotalCharges_3777.15 TotalCharges_3778 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3778.1 TotalCharges_3778.2 TotalCharges_3778.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_378.4 TotalCharges_378.6 TotalCharges_3782.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3784 TotalCharges_3789.2 TotalCharges_3791.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3794.5 TotalCharges_3795.45 TotalCharges_38 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_38.15 TotalCharges_38.25 TotalCharges_38.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_38.7 TotalCharges_38.8 TotalCharges_3801.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3801.7 TotalCharges_3804.4 TotalCharges_3807.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3808 TotalCharges_3808.2 TotalCharges_381.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_381.3 TotalCharges_3810.55 TotalCharges_3810.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3815.4 TotalCharges_382.2 TotalCharges_382.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3822.45 TotalCharges_3824.2 TotalCharges_3825.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3827.9 TotalCharges_3829.75 TotalCharges_383.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_383.65 TotalCharges_3833.95 TotalCharges_3834.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3835.55 TotalCharges_3836.3 TotalCharges_3838.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3838.75 TotalCharges_384.25 TotalCharges_384.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3842.6 TotalCharges_3845.45 TotalCharges_3846.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3846.75 TotalCharges_3847.6 TotalCharges_3848 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3848.8 TotalCharges_385 TotalCharges_385.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_385.9 TotalCharges_3851.45 TotalCharges_3856.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3857.1 TotalCharges_3858.05 TotalCharges_386.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3861.45 TotalCharges_3862.55 TotalCharges_3865.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3865.6 TotalCharges_387.2 TotalCharges_387.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_387.7 TotalCharges_387.9 TotalCharges_3870 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3870.3 TotalCharges_3871.85 TotalCharges_3874.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3875.4 TotalCharges_3876.2 TotalCharges_3877.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3877.95 TotalCharges_388.6 TotalCharges_3880.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3882.3 TotalCharges_3883.3 TotalCharges_3886.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3886.45 TotalCharges_3886.85 TotalCharges_3887.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3887.85 TotalCharges_3888.65 TotalCharges_389.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_389.25 TotalCharges_389.6 TotalCharges_389.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_389.95 TotalCharges_3893.6 TotalCharges_3894.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3895.35 TotalCharges_3899.05 TotalCharges_39.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_39.3 TotalCharges_39.65 TotalCharges_39.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_39.85 TotalCharges_390.4 TotalCharges_390.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3901.25 TotalCharges_3902.45 TotalCharges_3902.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3906.7 TotalCharges_391.7 TotalCharges_3912.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3913.3 TotalCharges_3914.05 TotalCharges_3915.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3919.15 TotalCharges_392.5 TotalCharges_392.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3921.1 TotalCharges_3921.3 TotalCharges_3923.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3928.3 TotalCharges_393.15 TotalCharges_393.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3930.55 TotalCharges_3930.6 TotalCharges_3937.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_394.1 TotalCharges_394.85 TotalCharges_3941.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3942.45 TotalCharges_3944.5 TotalCharges_3946.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3948.45 TotalCharges_3949.15 TotalCharges_395.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3950.85 TotalCharges_3952.45 TotalCharges_3952.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3953.15 TotalCharges_3953.7 TotalCharges_3954.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3956.7 TotalCharges_3958.2 TotalCharges_3958.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3958.85 TotalCharges_3959.15 TotalCharges_3959.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_396.1 TotalCharges_396.3 TotalCharges_3965.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3966.3 TotalCharges_3969.35 TotalCharges_3969.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_397 TotalCharges_3970.4 TotalCharges_3972.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3973.2 TotalCharges_3974.15 TotalCharges_3974.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3975.7 TotalCharges_3975.9 TotalCharges_398.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3983.6 TotalCharges_3985.35 TotalCharges_3988.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_399.25 TotalCharges_399.45 TotalCharges_399.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3990.6 TotalCharges_3990.75 TotalCharges_3994.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_3994.45 TotalCharges_3996.8 TotalCharges_40.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_40.2 TotalCharges_40.25 TotalCharges_40.9 TotalCharges_400 \\\n", + "0 False False False False \n", + "1 False False False False \n", + "2 False False False False \n", + "3 False False False False \n", + "4 False False False False \n", + "\n", + " TotalCharges_400.3 TotalCharges_4003 TotalCharges_4003.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4009.2 TotalCharges_401.1 TotalCharges_401.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_401.5 TotalCharges_401.85 TotalCharges_401.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4013.8 TotalCharges_4014 TotalCharges_4014.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4014.6 TotalCharges_4016.2 TotalCharges_4016.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4016.75 TotalCharges_4016.85 TotalCharges_4017.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4018.05 TotalCharges_4018.35 TotalCharges_4018.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_402.5 TotalCharges_402.6 TotalCharges_402.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4024.2 TotalCharges_4025.5 TotalCharges_4025.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4026.4 TotalCharges_4029.95 TotalCharges_403.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_403.35 TotalCharges_4036 TotalCharges_4036.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4039 TotalCharges_4039.3 TotalCharges_4039.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_404.2 TotalCharges_404.35 TotalCharges_4040.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4040.65 TotalCharges_4042.2 TotalCharges_4042.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4045.65 TotalCharges_4048.95 TotalCharges_405.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_405.7 TotalCharges_4052.4 TotalCharges_4054.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4055.5 TotalCharges_4056.75 TotalCharges_4059.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4059.85 TotalCharges_406.05 TotalCharges_406.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4060.55 TotalCharges_4060.9 TotalCharges_4062.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4063 TotalCharges_4065 TotalCharges_4068 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4069.9 TotalCharges_407.05 TotalCharges_4070.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4079.55 TotalCharges_408.25 TotalCharges_408.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4084.35 TotalCharges_4085.75 TotalCharges_4086.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4089.45 TotalCharges_409.9 TotalCharges_4092.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4096.9 TotalCharges_4097.05 TotalCharges_41.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_41.85 TotalCharges_4103.9 TotalCharges_4107.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4107.3 TotalCharges_4108.15 TotalCharges_4109 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_411.15 TotalCharges_411.25 TotalCharges_411.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_411.6 TotalCharges_411.75 TotalCharges_4111.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4113.1 TotalCharges_4113.15 TotalCharges_4113.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4116.15 TotalCharges_4116.8 TotalCharges_4116.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4119.4 TotalCharges_412.1 TotalCharges_412.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_412.55 TotalCharges_412.6 TotalCharges_4122.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4122.9 TotalCharges_4124.65 TotalCharges_4126.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4126.35 TotalCharges_413 TotalCharges_413.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_413.65 TotalCharges_4131.2 TotalCharges_4131.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4133.95 TotalCharges_4134.7 TotalCharges_4134.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4135 TotalCharges_4136.4 TotalCharges_4137.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4138.05 TotalCharges_4138.7 TotalCharges_4138.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_414.1 TotalCharges_414.95 TotalCharges_4140.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4144.8 TotalCharges_4144.9 TotalCharges_4145.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4145.9 TotalCharges_4146.05 TotalCharges_4149.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_415.05 TotalCharges_415.1 TotalCharges_415.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_415.55 TotalCharges_415.9 TotalCharges_415.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4154.55 TotalCharges_4154.8 TotalCharges_4155.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4156.8 TotalCharges_4158.25 TotalCharges_4159.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_416.3 TotalCharges_416.4 TotalCharges_416.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4162.05 TotalCharges_4164.4 TotalCharges_4166.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_417 TotalCharges_417.5 TotalCharges_417.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_417.7 TotalCharges_417.75 TotalCharges_4174.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4176.7 TotalCharges_4178.65 TotalCharges_4179.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4179.2 TotalCharges_418.25 TotalCharges_418.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_418.4 TotalCharges_418.8 TotalCharges_4186.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4187.75 TotalCharges_4188.4 TotalCharges_4189.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_419.35 TotalCharges_419.4 TotalCharges_419.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_419.9 TotalCharges_4191.45 TotalCharges_4192.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4193.4 TotalCharges_4194.85 TotalCharges_42.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_42.7 TotalCharges_42.9 TotalCharges_420.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_420.45 TotalCharges_4200.25 TotalCharges_4209.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4211.55 TotalCharges_4213.35 TotalCharges_4213.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4214.25 TotalCharges_4217.8 TotalCharges_422.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_422.4 TotalCharges_422.5 TotalCharges_422.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_422.7 TotalCharges_4220.35 TotalCharges_4222.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4224.7 TotalCharges_4226.7 TotalCharges_4228.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4230.25 TotalCharges_4233.95 TotalCharges_4234.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4236.6 TotalCharges_4237.5 TotalCharges_4238.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_424.15 TotalCharges_424.45 TotalCharges_424.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_424.75 TotalCharges_4242.35 TotalCharges_4245.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_425.1 TotalCharges_425.9 TotalCharges_4250.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4254.1 TotalCharges_4254.85 TotalCharges_4259.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_426.35 TotalCharges_426.65 TotalCharges_4261.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4263.4 TotalCharges_4263.45 TotalCharges_4264 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4264.25 TotalCharges_4264.6 TotalCharges_4265 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4266.4 TotalCharges_4267.15 TotalCharges_4273.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4275.75 TotalCharges_428.45 TotalCharges_428.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4282.4 TotalCharges_4284.2 TotalCharges_4284.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4284.8 TotalCharges_4285.8 TotalCharges_4287.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_429.55 TotalCharges_4295.35 TotalCharges_4297.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4297.95 TotalCharges_4298.45 TotalCharges_4299.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4299.75 TotalCharges_4299.95 TotalCharges_43.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_43.3 TotalCharges_43.8 TotalCharges_43.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_43.95 TotalCharges_4300.45 TotalCharges_4300.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4303.65 TotalCharges_4304 TotalCharges_4304.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4307.1 TotalCharges_4308.25 TotalCharges_4309.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_431 TotalCharges_4310.35 TotalCharges_4312.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4317.35 TotalCharges_4318.35 TotalCharges_432.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_432.5 TotalCharges_4322.85 TotalCharges_4323.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4323.45 TotalCharges_4326.25 TotalCharges_4326.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4327.5 TotalCharges_433.5 TotalCharges_433.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_433.95 TotalCharges_4331.4 TotalCharges_4335.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4338.6 TotalCharges_434.1 TotalCharges_434.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_434.8 TotalCharges_4345 TotalCharges_4346.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4348.1 TotalCharges_4348.65 TotalCharges_435 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_435.25 TotalCharges_435.4 TotalCharges_435.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4350.1 TotalCharges_4354.45 TotalCharges_436.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_436.6 TotalCharges_436.9 TotalCharges_4361.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4362.05 TotalCharges_4364.1 TotalCharges_4367.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4368.85 TotalCharges_4368.95 TotalCharges_4370.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4370.75 TotalCharges_4374.55 TotalCharges_4375.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4378.35 TotalCharges_4378.8 TotalCharges_4378.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_438 TotalCharges_438.05 TotalCharges_438.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_438.4 TotalCharges_438.9 TotalCharges_4385.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4386.2 TotalCharges_4388.4 TotalCharges_439.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_439.75 TotalCharges_4390.25 TotalCharges_4391.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4391.45 TotalCharges_4392.5 TotalCharges_4398.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4399.5 TotalCharges_44 TotalCharges_44.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_44.1 TotalCharges_44.15 TotalCharges_44.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_44.3 TotalCharges_44.35 TotalCharges_44.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_44.45 TotalCharges_44.55 TotalCharges_44.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_44.65 TotalCharges_44.7 TotalCharges_44.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_44.8 TotalCharges_44.9 TotalCharges_44.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_440.2 TotalCharges_4400.75 TotalCharges_4408.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4414.3 TotalCharges_4415.75 TotalCharges_442.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_442.45 TotalCharges_442.6 TotalCharges_442.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4421.95 TotalCharges_4422.95 TotalCharges_4424.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4428.45 TotalCharges_4428.6 TotalCharges_443.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4433.3 TotalCharges_4438.2 TotalCharges_444.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4442.75 TotalCharges_4443.45 TotalCharges_4445.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4447.55 TotalCharges_4447.75 TotalCharges_4448.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4449.75 TotalCharges_445.3 TotalCharges_445.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_445.95 TotalCharges_4451.85 TotalCharges_4453.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4454.25 TotalCharges_4456.35 TotalCharges_4456.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4458.15 TotalCharges_4459.15 TotalCharges_4459.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_446.05 TotalCharges_446.1 TotalCharges_446.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4461.85 TotalCharges_4464.8 TotalCharges_4469.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_447.75 TotalCharges_447.9 TotalCharges_4473 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4473.45 TotalCharges_4475.9 TotalCharges_4478.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4479.2 TotalCharges_4480.7 TotalCharges_4481 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4483.95 TotalCharges_4484.05 TotalCharges_4487.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_449.3 TotalCharges_449.75 TotalCharges_4492.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4494.65 TotalCharges_4495.65 TotalCharges_45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_45.05 TotalCharges_45.1 TotalCharges_45.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_45.2 TotalCharges_45.25 TotalCharges_45.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_45.35 TotalCharges_45.4 TotalCharges_45.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_45.6 TotalCharges_45.65 TotalCharges_45.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_45.75 TotalCharges_45.8 TotalCharges_45.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_45.95 TotalCharges_450.4 TotalCharges_450.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_450.8 TotalCharges_450.9 TotalCharges_4504.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4504.9 TotalCharges_4507.15 TotalCharges_4508.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4509.5 TotalCharges_451.1 TotalCharges_451.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4510.8 TotalCharges_4512.7 TotalCharges_4513.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4515.85 TotalCharges_4517.25 TotalCharges_4519.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_452.2 TotalCharges_452.35 TotalCharges_452.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_452.7 TotalCharges_452.8 TotalCharges_4520.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4523.25 TotalCharges_4524.05 TotalCharges_4525.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4526.85 TotalCharges_4527.45 TotalCharges_4528 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_453.4 TotalCharges_453.75 TotalCharges_4532.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4533.7 TotalCharges_4533.9 TotalCharges_4534.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4534.9 TotalCharges_4535.85 TotalCharges_4539.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4539.6 TotalCharges_454 TotalCharges_454.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_454.15 TotalCharges_454.65 TotalCharges_4541.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4541.9 TotalCharges_4542.35 TotalCharges_4543.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4543.95 TotalCharges_4546 TotalCharges_4547.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4549.05 TotalCharges_4549.45 TotalCharges_455.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_455.5 TotalCharges_4551.5 TotalCharges_4554.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4555.2 TotalCharges_4557.5 TotalCharges_456.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4563 TotalCharges_4564.9 TotalCharges_4566.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_457.1 TotalCharges_457.3 TotalCharges_4575.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4576.3 TotalCharges_4577.75 TotalCharges_4577.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_458.1 TotalCharges_4586.15 TotalCharges_4589.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_459.6 TotalCharges_459.95 TotalCharges_4590.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4594.65 TotalCharges_4594.95 TotalCharges_4599.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_46 TotalCharges_46.2 TotalCharges_46.3 TotalCharges_46.35 \\\n", + "0 False False False False \n", + "1 False False False False \n", + "2 False False False False \n", + "3 False False False False \n", + "4 False False False False \n", + "\n", + " TotalCharges_46.4 TotalCharges_460.2 TotalCharges_460.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4600.7 TotalCharges_4600.95 TotalCharges_461.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_461.7 TotalCharges_4613.95 TotalCharges_4614.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4615.25 TotalCharges_4615.9 TotalCharges_4616.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4616.1 TotalCharges_4619.55 TotalCharges_462.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4620.4 TotalCharges_4627.65 TotalCharges_4627.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4627.85 TotalCharges_463.05 TotalCharges_463.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4630.2 TotalCharges_4631.7 TotalCharges_4634.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4639.45 TotalCharges_4641.1 TotalCharges_465.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_465.45 TotalCharges_465.7 TotalCharges_465.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4652.4 TotalCharges_4653.25 TotalCharges_4653.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4657.95 TotalCharges_466.6 TotalCharges_4663.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4664.15 TotalCharges_4664.2 TotalCharges_4664.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4667 TotalCharges_4669.2 TotalCharges_467.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_467.5 TotalCharges_467.55 TotalCharges_467.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_467.85 TotalCharges_4671.65 TotalCharges_4671.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4674.4 TotalCharges_4674.55 TotalCharges_4676.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4677.1 TotalCharges_468.35 TotalCharges_4680.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4681.75 TotalCharges_4684.3 TotalCharges_4685.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4687.9 TotalCharges_4688.65 TotalCharges_4689.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4689.5 TotalCharges_469.25 TotalCharges_469.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_469.8 TotalCharges_469.85 TotalCharges_4690.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4692.55 TotalCharges_4692.95 TotalCharges_4693.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4698.05 TotalCharges_47.5 TotalCharges_47.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_47.95 TotalCharges_470 TotalCharges_470.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_470.6 TotalCharges_470.95 TotalCharges_4707.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4707.85 TotalCharges_471.35 TotalCharges_471.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_471.7 TotalCharges_471.85 TotalCharges_4713.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4718.25 TotalCharges_4719.75 TotalCharges_472.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_472.65 TotalCharges_4720 TotalCharges_4729.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4729.75 TotalCharges_473.9 TotalCharges_4730.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4730.9 TotalCharges_4732.35 TotalCharges_4733.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4735.2 TotalCharges_4735.35 TotalCharges_4738.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4738.85 TotalCharges_474.8 TotalCharges_474.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4740 TotalCharges_4741.45 TotalCharges_4744.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4746.05 TotalCharges_4747.2 TotalCharges_4747.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4747.65 TotalCharges_4747.85 TotalCharges_4748.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4749.15 TotalCharges_475 TotalCharges_475.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_475.2 TotalCharges_475.25 TotalCharges_475.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4750.95 TotalCharges_4753.85 TotalCharges_4754.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4758.8 TotalCharges_4759.55 TotalCharges_4759.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4759.85 TotalCharges_476.8 TotalCharges_4760.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4764 TotalCharges_4765 TotalCharges_477.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_477.55 TotalCharges_477.6 TotalCharges_477.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4779.45 TotalCharges_478.1 TotalCharges_478.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4783.5 TotalCharges_4784.45 TotalCharges_4786.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4786.15 TotalCharges_4793.8 TotalCharges_4798.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_48.35 TotalCharges_48.45 TotalCharges_48.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_48.6 TotalCharges_48.75 TotalCharges_48.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_480.6 TotalCharges_480.75 TotalCharges_4801.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4804.65 TotalCharges_4804.75 TotalCharges_4805.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4805.65 TotalCharges_4807.35 TotalCharges_4807.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4808.7 TotalCharges_481.1 TotalCharges_4811.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4812.75 TotalCharges_4816.7 TotalCharges_4818.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4819.75 TotalCharges_482.25 TotalCharges_482.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4820.15 TotalCharges_4820.55 TotalCharges_4822.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4824.45 TotalCharges_4828.05 TotalCharges_483.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_483.3 TotalCharges_483.7 TotalCharges_4830.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4834 TotalCharges_4837.6 TotalCharges_4839.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_484.05 TotalCharges_4845.4 TotalCharges_4847.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4847.35 TotalCharges_4849.1 TotalCharges_485.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_485.25 TotalCharges_485.9 TotalCharges_4853.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4854.3 TotalCharges_4855.35 TotalCharges_4858.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4859.1 TotalCharges_4859.25 TotalCharges_4859.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_486.05 TotalCharges_486.2 TotalCharges_486.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4860.35 TotalCharges_4860.85 TotalCharges_4861.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4862.5 TotalCharges_4863.85 TotalCharges_4867.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4868.4 TotalCharges_4869.35 TotalCharges_4869.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_487.05 TotalCharges_487.75 TotalCharges_487.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4871.05 TotalCharges_4871.45 TotalCharges_4872.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4872.35 TotalCharges_4872.45 TotalCharges_4874.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4874.8 TotalCharges_488.25 TotalCharges_488.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4882.8 TotalCharges_4884.85 TotalCharges_4885.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4888.2 TotalCharges_4888.7 TotalCharges_4889.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4889.3 TotalCharges_489.45 TotalCharges_4890.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4891.5 TotalCharges_4895.1 TotalCharges_4896.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_49 TotalCharges_49.05 TotalCharges_49.25 TotalCharges_49.3 \\\n", + "0 False False False False \n", + "1 False False False False \n", + "2 False False False False \n", + "3 False False False False \n", + "4 False False False False \n", + "\n", + " TotalCharges_49.5 TotalCharges_49.55 TotalCharges_49.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_49.7 TotalCharges_49.75 TotalCharges_49.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_49.85 TotalCharges_49.9 TotalCharges_49.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_490.55 TotalCharges_490.65 TotalCharges_4900.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4902.8 TotalCharges_4903.15 TotalCharges_4903.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4904.2 TotalCharges_4904.25 TotalCharges_4904.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4905.75 TotalCharges_4908.25 TotalCharges_4911.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4911.35 TotalCharges_4913.3 TotalCharges_4914.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4914.9 TotalCharges_4915.15 TotalCharges_4916.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4916.95 TotalCharges_4917.75 TotalCharges_4917.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4919.7 TotalCharges_492 TotalCharges_492.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_492.55 TotalCharges_4920.55 TotalCharges_4920.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4921.2 TotalCharges_4922.4 TotalCharges_4925.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4929.55 TotalCharges_493.4 TotalCharges_493.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_493.95 TotalCharges_4931.8 TotalCharges_4932.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4939.25 TotalCharges_494.05 TotalCharges_494.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_494.95 TotalCharges_4941.8 TotalCharges_4946.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4946.7 TotalCharges_4947.55 TotalCharges_4949.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_495.15 TotalCharges_4952.95 TotalCharges_4953.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4959.15 TotalCharges_4959.6 TotalCharges_496.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4964.7 TotalCharges_4965 TotalCharges_4965.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4968 TotalCharges_497.3 TotalCharges_497.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_497.6 TotalCharges_4972.1 TotalCharges_4973.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4976.15 TotalCharges_4977.2 TotalCharges_498.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_498.25 TotalCharges_4981.15 TotalCharges_4982.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4983.05 TotalCharges_4984.85 TotalCharges_4985.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_499.4 TotalCharges_4990.25 TotalCharges_4991.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_4993.4 TotalCharges_4995.35 TotalCharges_4997.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_50.05 TotalCharges_50.1 TotalCharges_50.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_50.35 TotalCharges_50.45 TotalCharges_50.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_50.55 TotalCharges_50.6 TotalCharges_50.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_50.7 TotalCharges_50.75 TotalCharges_50.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_50.9 TotalCharges_500.1 TotalCharges_5000.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5000.2 TotalCharges_501 TotalCharges_501.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_501.35 TotalCharges_5011.15 TotalCharges_5012.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5012.35 TotalCharges_5013 TotalCharges_5016.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5016.65 TotalCharges_5017.7 TotalCharges_5017.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_502.6 TotalCharges_502.85 TotalCharges_5023 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5025 TotalCharges_5025.8 TotalCharges_5025.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5029.05 TotalCharges_5029.2 TotalCharges_503.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_503.6 TotalCharges_5031 TotalCharges_5031.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5032.25 TotalCharges_5034.05 TotalCharges_5036.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5036.9 TotalCharges_5037.55 TotalCharges_5038.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5038.45 TotalCharges_504.05 TotalCharges_504.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5040.2 TotalCharges_5042.75 TotalCharges_5043.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5044.8 TotalCharges_505.45 TotalCharges_505.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_505.95 TotalCharges_5059.75 TotalCharges_506.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5060.85 TotalCharges_5060.9 TotalCharges_5064.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5064.85 TotalCharges_5067.45 TotalCharges_5068.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5069.65 TotalCharges_507.4 TotalCharges_507.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5070.4 TotalCharges_5071.05 TotalCharges_5071.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5073.1 TotalCharges_5082.8 TotalCharges_5083.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5084.65 TotalCharges_5088.4 TotalCharges_509.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5099.15 TotalCharges_51.15 TotalCharges_51.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_51.25 TotalCharges_51.6 TotalCharges_510.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5102.35 TotalCharges_511.25 TotalCharges_5116.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5118.95 TotalCharges_512.25 TotalCharges_512.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5121.3 TotalCharges_5121.75 TotalCharges_5124.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5124.6 TotalCharges_5125.5 TotalCharges_5125.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5127.95 TotalCharges_5129.3 TotalCharges_5129.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5135.15 TotalCharges_5135.35 TotalCharges_5138.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5139.65 TotalCharges_514 TotalCharges_514.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_514.75 TotalCharges_5149.5 TotalCharges_515.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_515.75 TotalCharges_5150.55 TotalCharges_5153.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5154.5 TotalCharges_5154.6 TotalCharges_516.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_516.3 TotalCharges_5163 TotalCharges_5163.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5165.7 TotalCharges_5166.2 TotalCharges_5168.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5174.35 TotalCharges_5175.3 TotalCharges_518.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_518.75 TotalCharges_518.9 TotalCharges_5186 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5189.75 TotalCharges_519.15 TotalCharges_5193.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5194.05 TotalCharges_5196.1 TotalCharges_5199.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_52 TotalCharges_52.05 TotalCharges_52.2 TotalCharges_520 \\\n", + "0 False False False False \n", + "1 False False False False \n", + "2 False False False False \n", + "3 False False False False \n", + "4 False False False False \n", + "\n", + " TotalCharges_520.1 TotalCharges_520.55 TotalCharges_520.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5200.8 TotalCharges_5206.55 TotalCharges_521 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_521.1 TotalCharges_521.3 TotalCharges_521.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_521.8 TotalCharges_521.9 TotalCharges_5212.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5215.1 TotalCharges_5215.25 TotalCharges_5219.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_522.35 TotalCharges_522.95 TotalCharges_5222.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5222.35 TotalCharges_5224.35 TotalCharges_5224.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5224.95 TotalCharges_5229.45 TotalCharges_5229.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_523.1 TotalCharges_523.15 TotalCharges_523.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5231.2 TotalCharges_5231.3 TotalCharges_5232.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5233.25 TotalCharges_5234.95 TotalCharges_5236.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5237.4 TotalCharges_5238.9 TotalCharges_524.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_524.5 TotalCharges_5243.05 TotalCharges_5244.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_525 TotalCharges_525.55 TotalCharges_5251.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5253.95 TotalCharges_526.7 TotalCharges_526.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5264.25 TotalCharges_5264.3 TotalCharges_5264.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5265.1 TotalCharges_5265.2 TotalCharges_5265.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5265.55 TotalCharges_527.35 TotalCharges_527.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_527.9 TotalCharges_5270.6 TotalCharges_5275.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5276.1 TotalCharges_5278.15 TotalCharges_528.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_528.45 TotalCharges_5283.95 TotalCharges_5289.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5289.8 TotalCharges_529.5 TotalCharges_529.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5290.45 TotalCharges_5293.2 TotalCharges_5293.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5293.95 TotalCharges_5294.6 TotalCharges_5295.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5299.65 TotalCharges_53.05 TotalCharges_53.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_53.5 TotalCharges_53.55 TotalCharges_53.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_530.05 TotalCharges_5301.1 TotalCharges_5305.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5308.7 TotalCharges_5309.5 TotalCharges_531 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_531.15 TotalCharges_531.55 TotalCharges_531.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5311.85 TotalCharges_5315.1 TotalCharges_5315.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5317.8 TotalCharges_532.1 TotalCharges_5321.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5324.5 TotalCharges_5327.25 TotalCharges_5329 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5329.55 TotalCharges_533.05 TotalCharges_533.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_533.6 TotalCharges_533.9 TotalCharges_5330.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5333.35 TotalCharges_5336.35 TotalCharges_534.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5341.8 TotalCharges_5347.95 TotalCharges_5348.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_535.05 TotalCharges_535.35 TotalCharges_535.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5356.45 TotalCharges_5357.75 TotalCharges_536.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_536.4 TotalCharges_5360.75 TotalCharges_5364.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_537.35 TotalCharges_5373.1 TotalCharges_5375.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5376.4 TotalCharges_5377.8 TotalCharges_538.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_538.5 TotalCharges_5386.5 TotalCharges_5388.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_539.85 TotalCharges_5396.25 TotalCharges_5398.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_54.3 TotalCharges_54.35 TotalCharges_54.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_54.65 TotalCharges_54.7 TotalCharges_54.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_54.9 TotalCharges_540.05 TotalCharges_540.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5401.9 TotalCharges_5405.8 TotalCharges_5409.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_541.15 TotalCharges_541.5 TotalCharges_541.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5411.4 TotalCharges_5411.65 TotalCharges_542.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5420.65 TotalCharges_5424.25 TotalCharges_5426.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5427.05 TotalCharges_543 TotalCharges_543.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5430.35 TotalCharges_5430.65 TotalCharges_5431.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5431.9 TotalCharges_5432.2 TotalCharges_5435 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5435.6 TotalCharges_5436.45 TotalCharges_5437.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5437.75 TotalCharges_5438.9 TotalCharges_5438.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_544.55 TotalCharges_5440.9 TotalCharges_5442.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5443.65 TotalCharges_5445.95 TotalCharges_5448.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_545.15 TotalCharges_545.2 TotalCharges_5450.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5453.4 TotalCharges_5458.8 TotalCharges_5459.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_546.45 TotalCharges_546.85 TotalCharges_546.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5460.2 TotalCharges_5461.45 TotalCharges_5464.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5468.45 TotalCharges_5468.95 TotalCharges_547.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_547.8 TotalCharges_5471.75 TotalCharges_5475.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_548.8 TotalCharges_548.9 TotalCharges_5480.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5481.25 TotalCharges_5483.9 TotalCharges_5484.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5485.5 TotalCharges_5487 TotalCharges_5496.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5497.05 TotalCharges_5498.2 TotalCharges_5498.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_55 TotalCharges_55.05 TotalCharges_55.2 TotalCharges_55.25 \\\n", + "0 False False False False \n", + "1 False False False False \n", + "2 False False False False \n", + "3 False False False False \n", + "4 False False False False \n", + "\n", + " TotalCharges_55.3 TotalCharges_55.4 TotalCharges_55.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_55.55 TotalCharges_55.7 TotalCharges_55.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_550.1 TotalCharges_550.35 TotalCharges_550.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5500.6 TotalCharges_5502.55 TotalCharges_5508.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5509.3 TotalCharges_551.3 TotalCharges_551.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_551.95 TotalCharges_5510.65 TotalCharges_5511.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5514.95 TotalCharges_5515.45 TotalCharges_5515.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_552.1 TotalCharges_552.65 TotalCharges_552.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_552.9 TotalCharges_552.95 TotalCharges_5522.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5526.75 TotalCharges_5528.9 TotalCharges_553 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_553.4 TotalCharges_5535.8 TotalCharges_5536.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5538.35 TotalCharges_5538.8 TotalCharges_554.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_554.25 TotalCharges_554.45 TotalCharges_5542.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5549.4 TotalCharges_555.4 TotalCharges_5550.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5551.15 TotalCharges_5552.05 TotalCharges_5552.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5553.25 TotalCharges_5555.3 TotalCharges_556.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5560 TotalCharges_5563.65 TotalCharges_5564.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5566.4 TotalCharges_5567.45 TotalCharges_5567.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5568.35 TotalCharges_5574.35 TotalCharges_5574.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5576.3 TotalCharges_558.8 TotalCharges_5580.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5581.05 TotalCharges_5585.4 TotalCharges_5586.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5588.8 TotalCharges_5589.3 TotalCharges_5589.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_559.2 TotalCharges_5594 TotalCharges_5595.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5597.65 TotalCharges_5598 TotalCharges_5598.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_56 TotalCharges_56.25 TotalCharges_56.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_560.6 TotalCharges_560.85 TotalCharges_5600.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5601.4 TotalCharges_5602.25 TotalCharges_5607.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5608.4 TotalCharges_561.15 TotalCharges_5610.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5610.25 TotalCharges_5610.7 TotalCharges_5611.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5611.75 TotalCharges_5614.45 TotalCharges_5617.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5617.95 TotalCharges_5618.3 TotalCharges_562.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_562.7 TotalCharges_5621.85 TotalCharges_5623.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5624.85 TotalCharges_5625.55 TotalCharges_5629.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5629.55 TotalCharges_563.05 TotalCharges_563.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_563.65 TotalCharges_5632.55 TotalCharges_5637.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5638.3 TotalCharges_5639.05 TotalCharges_564.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_564.4 TotalCharges_564.65 TotalCharges_5643.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5645.8 TotalCharges_5646.6 TotalCharges_5647.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_565.35 TotalCharges_565.75 TotalCharges_5655.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5656.75 TotalCharges_566.1 TotalCharges_566.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5661.7 TotalCharges_5662.25 TotalCharges_5669.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_567.45 TotalCharges_567.8 TotalCharges_5673.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5676 TotalCharges_5676.65 TotalCharges_568.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_568.85 TotalCharges_5680.9 TotalCharges_5681.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5682.25 TotalCharges_5683.6 TotalCharges_5685.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5686.4 TotalCharges_5688.05 TotalCharges_5688.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5692.65 TotalCharges_5696.6 TotalCharges_57.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_57.4 TotalCharges_57.5 TotalCharges_5703 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5703.25 TotalCharges_5705.05 TotalCharges_5706.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5706.3 TotalCharges_5708.2 TotalCharges_571.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_571.15 TotalCharges_571.45 TotalCharges_571.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5711.05 TotalCharges_5714.2 TotalCharges_5714.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5717.85 TotalCharges_5718.2 TotalCharges_572.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_572.45 TotalCharges_572.85 TotalCharges_5720.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5720.95 TotalCharges_5727.15 TotalCharges_5727.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5728.55 TotalCharges_573.05 TotalCharges_573.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_573.3 TotalCharges_573.75 TotalCharges_5730.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5730.7 TotalCharges_5731.4 TotalCharges_5731.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5731.85 TotalCharges_5733.4 TotalCharges_5737.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_574.35 TotalCharges_574.5 TotalCharges_5742.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5743.05 TotalCharges_5743.3 TotalCharges_5744.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5746.15 TotalCharges_5746.75 TotalCharges_5749.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_575.45 TotalCharges_5750 TotalCharges_5753.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5755.8 TotalCharges_5757.2 TotalCharges_576.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_576.7 TotalCharges_576.95 TotalCharges_5760.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5762.95 TotalCharges_5763.15 TotalCharges_5763.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5764.7 TotalCharges_5769.6 TotalCharges_5769.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_577.15 TotalCharges_577.6 TotalCharges_5774.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5776.45 TotalCharges_5779.6 TotalCharges_578.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5780.7 TotalCharges_5784.3 TotalCharges_5785.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5785.65 TotalCharges_579 TotalCharges_579.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5791.1 TotalCharges_5791.85 TotalCharges_5794.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5794.65 TotalCharges_5798.3 TotalCharges_58 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_58.15 TotalCharges_58.3 TotalCharges_58.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_58.9 TotalCharges_580.1 TotalCharges_580.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5809.75 TotalCharges_581.7 TotalCharges_581.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5810.9 TotalCharges_5811.8 TotalCharges_5812 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5812.6 TotalCharges_5815.15 TotalCharges_5817 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5817.45 TotalCharges_5817.7 TotalCharges_582.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5822.3 TotalCharges_5824.75 TotalCharges_5825.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5826.65 TotalCharges_583 TotalCharges_583.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_583.45 TotalCharges_5831.2 TotalCharges_5832 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5832.65 TotalCharges_5835.5 TotalCharges_5839.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5841.35 TotalCharges_5844.65 TotalCharges_5846.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5848.6 TotalCharges_585.95 TotalCharges_586.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5860.7 TotalCharges_5861.75 TotalCharges_5867 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5869.4 TotalCharges_587.1 TotalCharges_587.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_587.45 TotalCharges_587.7 TotalCharges_5873.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5878.9 TotalCharges_5882.75 TotalCharges_5883.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5885.4 TotalCharges_5886.85 TotalCharges_589.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5890 TotalCharges_5893.15 TotalCharges_5893.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5893.95 TotalCharges_5894.5 TotalCharges_5895.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5897.4 TotalCharges_5898.6 TotalCharges_5899.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_59.05 TotalCharges_59.2 TotalCharges_59.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_59.55 TotalCharges_59.75 TotalCharges_59.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_590.35 TotalCharges_5903.15 TotalCharges_5913.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5914.4 TotalCharges_5916.45 TotalCharges_5916.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5917.55 TotalCharges_5918.8 TotalCharges_5919.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_592.65 TotalCharges_592.75 TotalCharges_5921.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5924.4 TotalCharges_5925.75 TotalCharges_593.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_593.2 TotalCharges_593.3 TotalCharges_593.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_593.75 TotalCharges_593.85 TotalCharges_5930.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5931 TotalCharges_5931.75 TotalCharges_5935.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5936.55 TotalCharges_5940.85 TotalCharges_5941.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5943.65 TotalCharges_5948.7 TotalCharges_595.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_595.5 TotalCharges_5950.2 TotalCharges_5953 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5956.85 TotalCharges_5957.9 TotalCharges_5958.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5959.3 TotalCharges_5960.5 TotalCharges_5961.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5963.95 TotalCharges_5965.95 TotalCharges_5968.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5969.3 TotalCharges_5969.85 TotalCharges_5969.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_597 TotalCharges_597.9 TotalCharges_5971.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5974.3 TotalCharges_5976.9 TotalCharges_5979.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5980.55 TotalCharges_5980.75 TotalCharges_5981.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5985 TotalCharges_5985.75 TotalCharges_5986.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5986.55 TotalCharges_599.25 TotalCharges_599.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_5991.05 TotalCharges_5997.1 TotalCharges_5999.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_60 TotalCharges_60.1 TotalCharges_60.15 TotalCharges_60.65 \\\n", + "0 False False False False \n", + "1 False False False False \n", + "2 False False False False \n", + "3 False False False False \n", + "4 False False False False \n", + "\n", + " TotalCharges_600 TotalCharges_600.15 TotalCharges_600.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6000.1 TotalCharges_6001.45 TotalCharges_6004.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_601.25 TotalCharges_601.55 TotalCharges_601.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6010.05 TotalCharges_6014.85 TotalCharges_6017.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6017.9 TotalCharges_6018.65 TotalCharges_6019.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_602.55 TotalCharges_602.9 TotalCharges_6028.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6029 TotalCharges_6029.9 TotalCharges_603 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6033.1 TotalCharges_6033.3 TotalCharges_6034.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6038.55 TotalCharges_6039.9 TotalCharges_604.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6042.7 TotalCharges_6045.9 TotalCharges_6046.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6049.5 TotalCharges_605.25 TotalCharges_605.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_605.75 TotalCharges_605.9 TotalCharges_6052.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6055.55 TotalCharges_6056.15 TotalCharges_6056.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6058.95 TotalCharges_606.25 TotalCharges_606.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6065.3 TotalCharges_6066.55 TotalCharges_6067.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6068.65 TotalCharges_6069.25 TotalCharges_607.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_607.7 TotalCharges_6075.9 TotalCharges_6077.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6078.75 TotalCharges_6079 TotalCharges_608 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_608.15 TotalCharges_608.5 TotalCharges_608.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6081.4 TotalCharges_6083.1 TotalCharges_609.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_609.1 TotalCharges_609.65 TotalCharges_609.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6093.3 TotalCharges_6094.25 TotalCharges_6096.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6096.9 TotalCharges_61.05 TotalCharges_61.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_61.35 TotalCharges_61.45 TotalCharges_61.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_610.2 TotalCharges_610.75 TotalCharges_6109.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6109.75 TotalCharges_611.45 TotalCharges_611.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6110.2 TotalCharges_6110.75 TotalCharges_6118.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_612.1 TotalCharges_612.95 TotalCharges_6125.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6126.1 TotalCharges_6126.15 TotalCharges_6127.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6129.2 TotalCharges_6129.65 TotalCharges_613.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_613.95 TotalCharges_6130.85 TotalCharges_6130.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6132.7 TotalCharges_6137 TotalCharges_6139.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_614.45 TotalCharges_6140.85 TotalCharges_6141.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6143.15 TotalCharges_6144.55 TotalCharges_6145.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6145.85 TotalCharges_6148.45 TotalCharges_615.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6151.9 TotalCharges_6152.3 TotalCharges_6152.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6153.85 TotalCharges_6155.4 TotalCharges_6157.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_616.9 TotalCharges_6161.9 TotalCharges_6164.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_617.15 TotalCharges_617.35 TotalCharges_617.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_617.85 TotalCharges_6171.2 TotalCharges_6172 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6176.6 TotalCharges_6179.35 TotalCharges_6185.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6185.8 TotalCharges_6194.1 TotalCharges_62 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_62.05 TotalCharges_62.25 TotalCharges_62.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_62.9 TotalCharges_620.35 TotalCharges_620.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_620.75 TotalCharges_6201.95 TotalCharges_6205.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6215.35 TotalCharges_6218.45 TotalCharges_6219.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_622.9 TotalCharges_6223.3 TotalCharges_6223.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6224.8 TotalCharges_6225.4 TotalCharges_6227.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6230.1 TotalCharges_6236.75 TotalCharges_6237.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6239.05 TotalCharges_624.15 TotalCharges_624.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6241.35 TotalCharges_625.05 TotalCharges_625.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6252.7 TotalCharges_6252.9 TotalCharges_6253 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6254.2 TotalCharges_6254.45 TotalCharges_6256.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6263.8 TotalCharges_627.4 TotalCharges_6273.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_628.65 TotalCharges_6281.45 TotalCharges_6283.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6287.25 TotalCharges_6287.3 TotalCharges_629.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_629.55 TotalCharges_6292.7 TotalCharges_6293.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6293.45 TotalCharges_6293.75 TotalCharges_6296.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6297.65 TotalCharges_63 TotalCharges_63.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_63.6 TotalCharges_63.75 TotalCharges_630.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6300.15 TotalCharges_6300.85 TotalCharges_6301.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6302.8 TotalCharges_6302.85 TotalCharges_6306.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6309.65 TotalCharges_631.4 TotalCharges_631.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6310.9 TotalCharges_6311.2 TotalCharges_6312.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6314.35 TotalCharges_6316.2 TotalCharges_632.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_632.95 TotalCharges_6322.1 TotalCharges_6325.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6328.7 TotalCharges_633.3 TotalCharges_633.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_633.45 TotalCharges_633.85 TotalCharges_6330.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6332.75 TotalCharges_6333.4 TotalCharges_6333.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6339.3 TotalCharges_6339.45 TotalCharges_6341.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6342.7 TotalCharges_6347.55 TotalCharges_635.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_635.9 TotalCharges_6350.5 TotalCharges_6352.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6362.35 TotalCharges_6363.45 TotalCharges_6365.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6367.2 TotalCharges_6368.2 TotalCharges_6369.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_637.4 TotalCharges_637.55 TotalCharges_6373.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6375.2 TotalCharges_6375.8 TotalCharges_6376.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_638 TotalCharges_638.55 TotalCharges_638.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6382 TotalCharges_6382.55 TotalCharges_6383.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6383.9 TotalCharges_6385.95 TotalCharges_6388.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_639.45 TotalCharges_639.65 TotalCharges_639.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6392.85 TotalCharges_6393.65 TotalCharges_6396.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6397.6 TotalCharges_6398.05 TotalCharges_64.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6401.25 TotalCharges_6404 TotalCharges_6405 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_641.15 TotalCharges_641.25 TotalCharges_641.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6411.25 TotalCharges_6413.65 TotalCharges_6416.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6418.9 TotalCharges_6423 TotalCharges_6424.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6424.7 TotalCharges_6425.65 TotalCharges_6428.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6430.9 TotalCharges_6431.05 TotalCharges_6435.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_644.35 TotalCharges_644.5 TotalCharges_6440.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6441.4 TotalCharges_6441.85 TotalCharges_6444.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6448.05 TotalCharges_6448.85 TotalCharges_6449.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_645.8 TotalCharges_6457.15 TotalCharges_646.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_646.85 TotalCharges_6460.55 TotalCharges_6463.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6465 TotalCharges_6468.6 TotalCharges_647.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6470.1 TotalCharges_6471.85 TotalCharges_6474.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6474.45 TotalCharges_6479.4 TotalCharges_648.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6480.9 TotalCharges_6487.2 TotalCharges_649.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_649.65 TotalCharges_6496.15 TotalCharges_65.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6501.35 TotalCharges_6503.2 TotalCharges_6506.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_651.4 TotalCharges_651.5 TotalCharges_651.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6510.45 TotalCharges_6511.25 TotalCharges_6511.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6518.35 TotalCharges_6519.75 TotalCharges_6520.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6521.9 TotalCharges_6526.65 TotalCharges_6529.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_653.15 TotalCharges_653.25 TotalCharges_653.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_653.95 TotalCharges_6536.5 TotalCharges_6538.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_654.5 TotalCharges_654.55 TotalCharges_654.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6547.7 TotalCharges_6548.65 TotalCharges_6549.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_655.3 TotalCharges_655.5 TotalCharges_655.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_655.9 TotalCharges_6555.2 TotalCharges_6557.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6561.25 TotalCharges_6562.9 TotalCharges_6563.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6565.85 TotalCharges_6567.9 TotalCharges_657.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6572.85 TotalCharges_6578.55 TotalCharges_6579.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_658.1 TotalCharges_658.95 TotalCharges_6581.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6585.2 TotalCharges_6585.35 TotalCharges_6586.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6588.95 TotalCharges_6589.6 TotalCharges_659.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_659.45 TotalCharges_659.65 TotalCharges_6590.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6590.8 TotalCharges_6595 TotalCharges_6595.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6597.25 TotalCharges_66.95 TotalCharges_660.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_660.9 TotalCharges_6602.9 TotalCharges_6603 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6603.8 TotalCharges_6605.55 TotalCharges_661.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_661.55 TotalCharges_6613.65 TotalCharges_6614.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6615.15 TotalCharges_662.65 TotalCharges_662.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_663.05 TotalCharges_663.55 TotalCharges_6631.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6632.75 TotalCharges_6637.9 TotalCharges_6638.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_664.4 TotalCharges_6640.7 TotalCharges_6643.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_665.45 TotalCharges_6652.45 TotalCharges_6654.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_666 TotalCharges_666.75 TotalCharges_6668 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6668.05 TotalCharges_6668.35 TotalCharges_6669.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6669.45 TotalCharges_667.7 TotalCharges_6671.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6674.65 TotalCharges_668.4 TotalCharges_668.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6683.4 TotalCharges_6687.85 TotalCharges_6688.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6688.95 TotalCharges_6689 TotalCharges_669 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_669.45 TotalCharges_669.85 TotalCharges_6690.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6692.65 TotalCharges_6697.2 TotalCharges_6697.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_67.1 TotalCharges_67.55 TotalCharges_670.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_670.65 TotalCharges_6700.05 TotalCharges_6703.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6705.7 TotalCharges_6707.15 TotalCharges_6710.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6713.2 TotalCharges_6716.45 TotalCharges_6717.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6719.9 TotalCharges_672.2 TotalCharges_672.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_672.7 TotalCharges_6721.6 TotalCharges_6725.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6725.5 TotalCharges_673.1 TotalCharges_673.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_673.25 TotalCharges_6733 TotalCharges_6733.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6735.05 TotalCharges_674.55 TotalCharges_6741.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6743.55 TotalCharges_6744.2 TotalCharges_6744.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6747.35 TotalCharges_675.6 TotalCharges_6751.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6754.35 TotalCharges_6758.45 TotalCharges_676.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_676.35 TotalCharges_676.7 TotalCharges_6766.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6767.1 TotalCharges_677.05 TotalCharges_677.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6770.5 TotalCharges_6770.85 TotalCharges_6779.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_678.2 TotalCharges_678.45 TotalCharges_678.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_678.8 TotalCharges_6780.1 TotalCharges_6782.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6786.1 TotalCharges_6786.4 TotalCharges_679 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_679.3 TotalCharges_679.55 TotalCharges_679.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_679.85 TotalCharges_6792.45 TotalCharges_6794.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_68.2 TotalCharges_68.35 TotalCharges_68.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_68.5 TotalCharges_68.65 TotalCharges_68.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_68.8 TotalCharges_68.95 TotalCharges_680.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_681.4 TotalCharges_6812.95 TotalCharges_6816.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6819.45 TotalCharges_682.1 TotalCharges_682.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6822.15 TotalCharges_6823.4 TotalCharges_6825.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6827.5 TotalCharges_683.25 TotalCharges_683.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6838.6 TotalCharges_684.05 TotalCharges_684.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_684.85 TotalCharges_6840.95 TotalCharges_6841.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6841.3 TotalCharges_6841.4 TotalCharges_6841.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6843.15 TotalCharges_6844.5 TotalCharges_6849.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6849.75 TotalCharges_685.55 TotalCharges_6851.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6856.45 TotalCharges_6856.95 TotalCharges_6858.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6859.05 TotalCharges_6859.5 TotalCharges_686.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6860.6 TotalCharges_6869.7 TotalCharges_6871.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6871.9 TotalCharges_6873.75 TotalCharges_6875.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6876.05 TotalCharges_688 TotalCharges_688.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_688.5 TotalCharges_688.65 TotalCharges_6880.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6885.75 TotalCharges_6886.25 TotalCharges_6889.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_689 TotalCharges_689.35 TotalCharges_689.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6890 TotalCharges_6891.4 TotalCharges_6891.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6895.5 TotalCharges_69.1 TotalCharges_69.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_69.2 TotalCharges_69.25 TotalCharges_69.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_69.4 TotalCharges_69.5 TotalCharges_69.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_69.6 TotalCharges_69.65 TotalCharges_69.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_69.75 TotalCharges_69.8 TotalCharges_69.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_69.9 TotalCharges_69.95 TotalCharges_690.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_690.5 TotalCharges_6903.1 TotalCharges_6910.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6912.7 TotalCharges_6914.95 TotalCharges_692.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_692.35 TotalCharges_692.55 TotalCharges_6921.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6925.9 TotalCharges_6929.4 TotalCharges_693.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_693.45 TotalCharges_6936.85 TotalCharges_6937.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6941.2 TotalCharges_6944.5 TotalCharges_695.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_695.75 TotalCharges_695.85 TotalCharges_6951.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6953.4 TotalCharges_6954.15 TotalCharges_696.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_696.8 TotalCharges_6962.85 TotalCharges_697.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_697.65 TotalCharges_697.7 TotalCharges_6975.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6976.75 TotalCharges_6979.8 TotalCharges_6981.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6982.5 TotalCharges_6985.65 TotalCharges_6989.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6989.7 TotalCharges_6991.6 TotalCharges_6991.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6993.65 TotalCharges_6994.6 TotalCharges_6994.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_6997.3 TotalCharges_6998.95 TotalCharges_70 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_70.05 TotalCharges_70.1 TotalCharges_70.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_70.2 TotalCharges_70.25 TotalCharges_70.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_70.35 TotalCharges_70.4 TotalCharges_70.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_70.5 TotalCharges_70.55 TotalCharges_70.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_70.65 TotalCharges_70.7 TotalCharges_70.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_70.8 TotalCharges_70.85 TotalCharges_70.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_700.45 TotalCharges_700.85 TotalCharges_7002.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7007.6 TotalCharges_7008.15 TotalCharges_7009.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_701.05 TotalCharges_701.3 TotalCharges_7015.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_702 TotalCharges_702.05 TotalCharges_702.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7028.5 TotalCharges_703.55 TotalCharges_7030.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7031.3 TotalCharges_7031.45 TotalCharges_7035.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7039.05 TotalCharges_7039.45 TotalCharges_704.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7040.85 TotalCharges_7047.5 TotalCharges_7049.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7049.75 TotalCharges_705.45 TotalCharges_7051.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7053.35 TotalCharges_706.6 TotalCharges_706.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7061.65 TotalCharges_7069.25 TotalCharges_7069.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_707.5 TotalCharges_7074.4 TotalCharges_7076.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_708.2 TotalCharges_708.8 TotalCharges_7082.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7082.5 TotalCharges_7082.85 TotalCharges_7085.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_709.5 TotalCharges_7099 TotalCharges_71 TotalCharges_71.1 \\\n", + "0 False False False False \n", + "1 False False False False \n", + "2 False False False False \n", + "3 False False False False \n", + "4 False False False False \n", + "\n", + " TotalCharges_71.15 TotalCharges_71.2 TotalCharges_71.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_71.35 TotalCharges_71.55 TotalCharges_71.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_710.05 TotalCharges_7101.5 TotalCharges_7104.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7107 TotalCharges_7108.2 TotalCharges_711.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_711.9 TotalCharges_711.95 TotalCharges_7110.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7111.3 TotalCharges_7112.15 TotalCharges_7113.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7114.25 TotalCharges_7118.9 TotalCharges_712.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_712.75 TotalCharges_712.85 TotalCharges_7129.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_713 TotalCharges_713.1 TotalCharges_713.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_713.75 TotalCharges_7132.15 TotalCharges_7133.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7133.25 TotalCharges_7133.45 TotalCharges_7138.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_714.15 TotalCharges_7142.5 TotalCharges_7149.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_715 TotalCharges_7156.2 TotalCharges_7159.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7159.7 TotalCharges_716.1 TotalCharges_716.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7168.25 TotalCharges_717.3 TotalCharges_717.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_717.95 TotalCharges_7171.7 TotalCharges_7173.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7176.55 TotalCharges_718.1 TotalCharges_718.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7181.25 TotalCharges_7181.95 TotalCharges_7188.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7195.35 TotalCharges_72 TotalCharges_72.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_72.4 TotalCharges_720.05 TotalCharges_720.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_720.45 TotalCharges_7209 TotalCharges_7210.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7213.75 TotalCharges_7220.35 TotalCharges_7222.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7227.45 TotalCharges_723.3 TotalCharges_723.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_723.4 TotalCharges_7234.8 TotalCharges_7238.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_724.65 TotalCharges_7240.65 TotalCharges_7244.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7245.9 TotalCharges_7246.15 TotalCharges_7250.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7251.7 TotalCharges_7251.9 TotalCharges_726.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7261.25 TotalCharges_7261.75 TotalCharges_7262 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7266.95 TotalCharges_727.8 TotalCharges_727.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7279.35 TotalCharges_7281.6 TotalCharges_7283.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7285.7 TotalCharges_7288.4 TotalCharges_729.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7291.75 TotalCharges_7297.75 TotalCharges_7299.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_73 TotalCharges_73.05 TotalCharges_73.1 TotalCharges_73.45 \\\n", + "0 False False False False \n", + "1 False False False False \n", + "2 False False False False \n", + "3 False False False False \n", + "4 False False False False \n", + "\n", + " TotalCharges_73.5 TotalCharges_73.55 TotalCharges_73.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_73.65 TotalCharges_730.1 TotalCharges_730.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7303.05 TotalCharges_7308.95 TotalCharges_731.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7317.1 TotalCharges_7318.2 TotalCharges_732.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7320.9 TotalCharges_7321.05 TotalCharges_7322.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7323.15 TotalCharges_7325.1 TotalCharges_733.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_733.55 TotalCharges_733.95 TotalCharges_7332.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7334.05 TotalCharges_7337.55 TotalCharges_734.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_734.6 TotalCharges_7344.45 TotalCharges_7346.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7348.8 TotalCharges_7349.35 TotalCharges_735.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_735.9 TotalCharges_736.8 TotalCharges_7362.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7365.3 TotalCharges_7365.7 TotalCharges_7372.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7379.8 TotalCharges_738.2 TotalCharges_7382.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7382.85 TotalCharges_7383.7 TotalCharges_7386.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7388.45 TotalCharges_739.35 TotalCharges_739.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7396.15 TotalCharges_7397 TotalCharges_74 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_74.1 TotalCharges_74.2 TotalCharges_74.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_74.3 TotalCharges_74.35 TotalCharges_74.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_74.45 TotalCharges_74.5 TotalCharges_74.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_74.7 TotalCharges_74.9 TotalCharges_74.95 TotalCharges_740 \\\n", + "0 False False False False \n", + "1 False False False False \n", + "2 False False False False \n", + "3 False False False False \n", + "4 False False False False \n", + "\n", + " TotalCharges_740.3 TotalCharges_740.55 TotalCharges_740.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7405.5 TotalCharges_741 TotalCharges_741.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_741.5 TotalCharges_741.7 TotalCharges_7412.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7413.55 TotalCharges_742.9 TotalCharges_742.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7422.1 TotalCharges_743.05 TotalCharges_743.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_743.5 TotalCharges_743.75 TotalCharges_7430.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7432.05 TotalCharges_7446.9 TotalCharges_7447.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_745.3 TotalCharges_7455.45 TotalCharges_7459 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7459.05 TotalCharges_746.05 TotalCharges_746.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_746.75 TotalCharges_7467.5 TotalCharges_7467.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_747.2 TotalCharges_7470.1 TotalCharges_7472.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7475.1 TotalCharges_7475.85 TotalCharges_7482.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_749.25 TotalCharges_749.35 TotalCharges_7491.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7493.05 TotalCharges_75.05 TotalCharges_75.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_75.3 TotalCharges_75.35 TotalCharges_75.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_75.5 TotalCharges_75.55 TotalCharges_75.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_75.7 TotalCharges_75.75 TotalCharges_75.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_75.9 TotalCharges_750.1 TotalCharges_7508.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_751.65 TotalCharges_7511.3 TotalCharges_7511.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7511.9 TotalCharges_7517.7 TotalCharges_7521.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7530.8 TotalCharges_7532.15 TotalCharges_7534.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7537.5 TotalCharges_754 TotalCharges_754.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_754.65 TotalCharges_7542.25 TotalCharges_7544 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7544.3 TotalCharges_7548.1 TotalCharges_7548.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_755.4 TotalCharges_755.5 TotalCharges_755.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7550.3 TotalCharges_7553.6 TotalCharges_7554.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7555 TotalCharges_7556.9 TotalCharges_7559.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_756.4 TotalCharges_7565.35 TotalCharges_7567.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_757.1 TotalCharges_757.95 TotalCharges_7576.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7578.05 TotalCharges_758.6 TotalCharges_7581.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7589.8 TotalCharges_759.35 TotalCharges_759.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_76 TotalCharges_76.2 TotalCharges_76.35 TotalCharges_76.4 \\\n", + "0 False False False False \n", + "1 False False False False \n", + "2 False False False False \n", + "3 False False False False \n", + "4 False False False False \n", + "\n", + " TotalCharges_76.45 TotalCharges_76.65 TotalCharges_76.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_760.05 TotalCharges_7609.75 TotalCharges_761.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_761.95 TotalCharges_7610.1 TotalCharges_7611.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7611.85 TotalCharges_7616 TotalCharges_762.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_762.25 TotalCharges_762.45 TotalCharges_762.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7623.2 TotalCharges_7624.2 TotalCharges_7629.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_763.1 TotalCharges_7634.25 TotalCharges_7634.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_764.55 TotalCharges_764.95 TotalCharges_765.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_765.45 TotalCharges_765.5 TotalCharges_7657.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7658.3 TotalCharges_7661.8 TotalCharges_7665.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_767.55 TotalCharges_767.9 TotalCharges_7674.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7677.4 TotalCharges_7679.65 TotalCharges_768.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_768.45 TotalCharges_7689.8 TotalCharges_7689.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_769.1 TotalCharges_7690.9 TotalCharges_77.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_77.5 TotalCharges_77.6 TotalCharges_77.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_770.4 TotalCharges_770.5 TotalCharges_770.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7707.7 TotalCharges_771.95 TotalCharges_7711.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7711.45 TotalCharges_7713.55 TotalCharges_7714.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7719.5 TotalCharges_772.4 TotalCharges_772.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7723.7 TotalCharges_7723.9 TotalCharges_7726.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_773.2 TotalCharges_773.65 TotalCharges_7732.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7737.55 TotalCharges_7746.7 TotalCharges_7748.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_775.3 TotalCharges_775.6 TotalCharges_7751.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7752.05 TotalCharges_7752.3 TotalCharges_7758.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_776.25 TotalCharges_7767.25 TotalCharges_777.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_777.35 TotalCharges_7774.05 TotalCharges_778.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7782.85 TotalCharges_7789.6 TotalCharges_779.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_779.25 TotalCharges_7795.95 TotalCharges_78.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_78.25 TotalCharges_78.3 TotalCharges_78.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_78.65 TotalCharges_78.8 TotalCharges_78.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_78.95 TotalCharges_780.1 TotalCharges_780.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_780.2 TotalCharges_780.25 TotalCharges_780.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_780.85 TotalCharges_7804.15 TotalCharges_7806.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7806.6 TotalCharges_781.25 TotalCharges_781.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7839.85 TotalCharges_784.25 TotalCharges_784.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7840.6 TotalCharges_7842.3 TotalCharges_7843.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7845.8 TotalCharges_7848.5 TotalCharges_7849.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_785.75 TotalCharges_7852.4 TotalCharges_7853.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7854.15 TotalCharges_7854.9 TotalCharges_7856 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_786.3 TotalCharges_786.5 TotalCharges_7862.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7869.05 TotalCharges_7875 TotalCharges_7878.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_788.05 TotalCharges_788.35 TotalCharges_788.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_788.6 TotalCharges_788.8 TotalCharges_7880.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7881.2 TotalCharges_7882.25 TotalCharges_7882.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7887.25 TotalCharges_789.2 TotalCharges_789.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7895.15 TotalCharges_7898.45 TotalCharges_79.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_79.1 TotalCharges_79.15 TotalCharges_79.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_79.25 TotalCharges_79.35 TotalCharges_79.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_79.5 TotalCharges_79.55 TotalCharges_79.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_79.65 TotalCharges_79.7 TotalCharges_79.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_79.9 TotalCharges_79.95 TotalCharges_790 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_790.15 TotalCharges_790.7 TotalCharges_7904.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_791.15 TotalCharges_791.7 TotalCharges_791.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7919.8 TotalCharges_792.15 TotalCharges_7920.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7922.75 TotalCharges_793.55 TotalCharges_7930.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7932.5 TotalCharges_7939.25 TotalCharges_794.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7942.15 TotalCharges_7943.45 TotalCharges_795.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_795.65 TotalCharges_7953.25 TotalCharges_7962.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7965.95 TotalCharges_7966.9 TotalCharges_7968.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_797.1 TotalCharges_797.25 TotalCharges_798.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7982.5 TotalCharges_7984.15 TotalCharges_7985.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7987.6 TotalCharges_799 TotalCharges_799.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_7990.05 TotalCharges_7993.3 TotalCharges_7998.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_80 TotalCharges_80.05 TotalCharges_80.15 TotalCharges_80.2 \\\n", + "0 False False False False \n", + "1 False False False False \n", + "2 False False False False \n", + "3 False False False False \n", + "4 False False False False \n", + "\n", + " TotalCharges_80.25 TotalCharges_80.3 TotalCharges_80.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_80.5 TotalCharges_80.55 TotalCharges_80.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_80.85 TotalCharges_80.95 TotalCharges_800.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8003.8 TotalCharges_801.3 TotalCharges_8012.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8013.55 TotalCharges_8016.6 TotalCharges_802.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8022.85 TotalCharges_803.3 TotalCharges_8033.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8035.95 TotalCharges_804.25 TotalCharges_804.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8041.65 TotalCharges_8046.85 TotalCharges_805.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_805.2 TotalCharges_8058.55 TotalCharges_8058.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_806.95 TotalCharges_8061.5 TotalCharges_8065.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8071.05 TotalCharges_8075.35 TotalCharges_8078.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_808.95 TotalCharges_8086.4 TotalCharges_809.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_809.75 TotalCharges_8093.15 TotalCharges_81 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_81.05 TotalCharges_81.1 TotalCharges_81.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_81.7 TotalCharges_81.95 TotalCharges_810.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_810.3 TotalCharges_810.45 TotalCharges_810.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_810.85 TotalCharges_8100.25 TotalCharges_8100.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8109.8 TotalCharges_811.65 TotalCharges_811.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_812.4 TotalCharges_812.5 TotalCharges_8124.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8126.65 TotalCharges_8127.6 TotalCharges_8129.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_813.3 TotalCharges_813.45 TotalCharges_813.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_814.75 TotalCharges_815.5 TotalCharges_815.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8152.3 TotalCharges_816.8 TotalCharges_8164.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8165.1 TotalCharges_8166.8 TotalCharges_817.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8175.9 TotalCharges_818.05 TotalCharges_818.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8182.75 TotalCharges_8182.85 TotalCharges_819.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_819.55 TotalCharges_819.95 TotalCharges_8192.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8196.4 TotalCharges_82.15 TotalCharges_82.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_82.7 TotalCharges_82.85 TotalCharges_82.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_820.5 TotalCharges_821.6 TotalCharges_8220.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_824.75 TotalCharges_824.85 TotalCharges_8240.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8244.3 TotalCharges_8248.5 TotalCharges_825.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_825.4 TotalCharges_825.7 TotalCharges_8250 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_826 TotalCharges_826.1 TotalCharges_827.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_827.3 TotalCharges_827.45 TotalCharges_827.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8277.05 TotalCharges_828.05 TotalCharges_828.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_828.85 TotalCharges_8289.2 TotalCharges_829.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_829.3 TotalCharges_829.55 TotalCharges_8297.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_83.3 TotalCharges_83.4 TotalCharges_83.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_830.25 TotalCharges_830.7 TotalCharges_830.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_830.85 TotalCharges_8306.05 TotalCharges_8308.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8309.55 TotalCharges_831.75 TotalCharges_8310.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8312.4 TotalCharges_8312.75 TotalCharges_8317.95 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_832.05 TotalCharges_832.3 TotalCharges_832.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_833.55 TotalCharges_8331.95 TotalCharges_8332.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8333.95 TotalCharges_8337.45 TotalCharges_834.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_834.15 TotalCharges_834.2 TotalCharges_834.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8349.45 TotalCharges_8349.7 TotalCharges_835.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_835.5 TotalCharges_836.35 TotalCharges_837.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_837.95 TotalCharges_8375.05 TotalCharges_838.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_838.7 TotalCharges_839.4 TotalCharges_839.65 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8399.15 TotalCharges_84.2 TotalCharges_84.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_84.4 TotalCharges_84.5 TotalCharges_84.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_84.65 TotalCharges_84.75 TotalCharges_84.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_84.85 TotalCharges_840.1 TotalCharges_8404.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8405 TotalCharges_842.25 TotalCharges_842.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8424.9 TotalCharges_8425.15 TotalCharges_8425.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8436.25 TotalCharges_844.45 TotalCharges_8443.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_845.25 TotalCharges_845.6 TotalCharges_8456.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_846 TotalCharges_846.8 TotalCharges_8468.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_847.25 TotalCharges_847.3 TotalCharges_847.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8476.5 TotalCharges_8477.6 TotalCharges_8477.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_849.1 TotalCharges_849.9 TotalCharges_8496.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_85 TotalCharges_85.05 TotalCharges_85.1 TotalCharges_85.15 \\\n", + "0 False False False False \n", + "1 False False False False \n", + "2 False False False False \n", + "3 False False False False \n", + "4 False False False False \n", + "\n", + " TotalCharges_85.45 TotalCharges_85.5 TotalCharges_85.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_85.7 TotalCharges_85.8 TotalCharges_851.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_851.75 TotalCharges_851.8 TotalCharges_852.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8529.5 TotalCharges_853 TotalCharges_853.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_854.45 TotalCharges_854.8 TotalCharges_854.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8543.25 TotalCharges_8547.15 TotalCharges_855.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_855.3 TotalCharges_856.35 TotalCharges_856.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_856.65 TotalCharges_8564.75 TotalCharges_857.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_857.25 TotalCharges_857.75 TotalCharges_857.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_858.6 TotalCharges_8594.4 TotalCharges_86 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_86.05 TotalCharges_86.35 TotalCharges_86.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_860.85 TotalCharges_861.85 TotalCharges_862.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_863.1 TotalCharges_864.2 TotalCharges_864.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_864.85 TotalCharges_865 TotalCharges_865.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_865.1 TotalCharges_865.55 TotalCharges_865.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_865.8 TotalCharges_865.85 TotalCharges_866.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_866.45 TotalCharges_867.1 TotalCharges_867.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_8670.1 TotalCharges_8672.45 TotalCharges_868.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_868.5 TotalCharges_8684.8 TotalCharges_869.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_87.3 TotalCharges_87.9 TotalCharges_870.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_871.4 TotalCharges_872.65 TotalCharges_873.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_874.2 TotalCharges_874.8 TotalCharges_875.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_875.55 TotalCharges_876.15 TotalCharges_876.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_877.35 TotalCharges_878.35 TotalCharges_879.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_88.35 TotalCharges_88.8 TotalCharges_880.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_880.2 TotalCharges_882.55 TotalCharges_883.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_886.4 TotalCharges_886.7 TotalCharges_887.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_888.65 TotalCharges_888.75 TotalCharges_889 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_889.9 TotalCharges_89.05 TotalCharges_89.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_89.15 TotalCharges_89.25 TotalCharges_89.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_89.35 TotalCharges_89.5 TotalCharges_89.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_89.75 TotalCharges_89.9 TotalCharges_890.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_890.5 TotalCharges_890.6 TotalCharges_892.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_892.65 TotalCharges_892.7 TotalCharges_893 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_893.2 TotalCharges_893.55 TotalCharges_894.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_896.75 TotalCharges_896.9 TotalCharges_897.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_898.35 TotalCharges_899.45 TotalCharges_899.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_90.05 TotalCharges_90.1 TotalCharges_90.35 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_90.55 TotalCharges_90.6 TotalCharges_90.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_90.85 TotalCharges_900.5 TotalCharges_900.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_901.25 TotalCharges_902 TotalCharges_902.25 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_903.6 TotalCharges_903.7 TotalCharges_903.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_905.55 TotalCharges_906.85 TotalCharges_907.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_908.15 TotalCharges_908.55 TotalCharges_908.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_909.25 TotalCharges_91.1 TotalCharges_91.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_91.4 TotalCharges_91.45 TotalCharges_91.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_910.45 TotalCharges_911.6 TotalCharges_912 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_913.3 TotalCharges_914 TotalCharges_914.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_914.4 TotalCharges_914.6 TotalCharges_916 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_916.15 TotalCharges_916.75 TotalCharges_916.9 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_917.15 TotalCharges_917.45 TotalCharges_918.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_918.7 TotalCharges_918.75 TotalCharges_919.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_92.05 TotalCharges_92.25 TotalCharges_92.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_92.5 TotalCharges_92.65 TotalCharges_92.75 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_920.5 TotalCharges_921.3 TotalCharges_921.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_921.55 TotalCharges_923.1 TotalCharges_923.5 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_923.85 TotalCharges_926 TotalCharges_926.2 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_926.25 TotalCharges_927.1 TotalCharges_927.15 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_927.35 TotalCharges_927.65 TotalCharges_928.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_929.2 TotalCharges_929.3 TotalCharges_929.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_93.3 TotalCharges_93.4 TotalCharges_93.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_93.55 TotalCharges_93.7 TotalCharges_93.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_930.05 TotalCharges_930.4 TotalCharges_930.45 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_930.9 TotalCharges_930.95 TotalCharges_931.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_931.75 TotalCharges_931.9 TotalCharges_933.3 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_934.1 TotalCharges_934.15 TotalCharges_934.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_935.9 TotalCharges_936.7 TotalCharges_936.85 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_937.1 TotalCharges_937.5 TotalCharges_937.6 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_938.65 TotalCharges_938.95 TotalCharges_939.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_939.8 TotalCharges_94 TotalCharges_94.15 TotalCharges_94.4 \\\n", + "0 False False False False \n", + "1 False False False False \n", + "2 False False False False \n", + "3 False False False False \n", + "4 False False False False \n", + "\n", + " TotalCharges_94.45 TotalCharges_94.5 TotalCharges_94.55 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_94.6 TotalCharges_940.35 TotalCharges_941 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_942.95 TotalCharges_943 TotalCharges_943.1 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_943.85 TotalCharges_944.65 TotalCharges_945.7 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_946.95 TotalCharges_947.3 TotalCharges_947.4 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_947.75 TotalCharges_948.9 TotalCharges_949.8 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False \n", + "4 False False False \n", + "\n", + " TotalCharges_949.85 TotalCharges_95 TotalCharges_95.05 \\\n", + "0 False False False \n", + "1 False False False \n", + "2 False False False \n", + "3 False False False 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es_1588.7TotalCharges_1588.75TotalCharges_159.15TotalCharges_159.2TotalCharges_159.35TotalCharges_159.4TotalCharges_159.45TotalCharges_1592.35TotalCharges_1593.1TotalCharges_1594.75TotalCharges_1595.5TotalCharges_1596.6TotalCharges_1597.05TotalCharges_1597.25TotalCharges_1597.4TotalCharges_160.05TotalCharges_160.75TotalCharges_160.8TotalCharges_160.85TotalCharges_1600.25TotalCharges_1600.95TotalCharges_1601.2TotalCharges_1601.5TotalCharges_1604.5TotalCharges_1607.2TotalCharges_1608.15TotalCharges_161.15TotalCharges_161.45TotalCharges_161.5TotalCharges_161.65TotalCharges_161.95TotalCharges_1611TotalCharges_1611.15TotalCharges_1611.65TotalCharges_1612.2TotalCharges_1612.75TotalCharges_1614.05TotalCharges_1614.2TotalCharges_1614.7TotalCharges_1614.9TotalCharges_1615.1TotalCharges_1616.15TotalCharges_1617.5TotalCharges_1618.2TotalCharges_162.15TotalCharges_162.3TotalCharges_162.45TotalCharges_162.55TotalCharges_1620.2TotalCharges_1620.25TotalCharges_1620.45TotalCharges_1620.8TotalCharges_1621.35TotalCharges_1622.45TotalCharges_1623.15TotalCharges_1623.4TotalCharges_1625TotalCharges_1625.65TotalCharges_1626.05TotalCharges_1626.4TotalCharges_1629.2TotalCharges_163.2TotalCharges_163.55TotalCharges_163.6TotalCharges_163.7TotalCharges_1630.4TotalCharges_1633TotalCharges_1636.95TotalCharges_1637.3TotalCharges_1637.4TotalCharges_1638.7TotalCharges_1639.3TotalCharges_164.3TotalCharges_164.5TotalCharges_164.6TotalCharges_164.85TotalCharges_1640TotalCharges_1641.3TotalCharges_1641.8TotalCharges_1642.75TotalCharges_1643.25TotalCharges_1643.55TotalCharges_1646.45TotalCharges_1647TotalCharges_1648.45TotalCharges_165TotalCharges_165.2TotalCharges_165.35TotalCharges_165.4TotalCharges_165.45TotalCharges_165.5TotalCharges_1651.95TotalCharges_1652.1TotalCharges_1652.4TotalCharges_1652.95TotalCharges_1653.45TotalCharges_1653.85TotalCharges_1654.45TotalCharges_1654.6TotalCharges_1654.7TotalCharges_1654.75TotalCharges_1654.85TotalCharges_1655.35TotalCharges_1657.4TotalCharges_166.3TotalCharges_1660TotalCharges_1662.05TotalCharges_1663.5TotalCharges_1663.75TotalCharges_1664.3TotalCharges_1665.2TotalCharges_1667.25TotalCharges_1669.4TotalCharges_167.2TotalCharges_167.3TotalCharges_167.5TotalCharges_1671.6TotalCharges_1672.1TotalCharges_1672.15TotalCharges_1672.35TotalCharges_1673.4TotalCharges_1673.8TotalCharges_1676.95TotalCharges_1677.85TotalCharges_1678.05TotalCharges_1679.25TotalCharges_1679.4TotalCharges_1679.65TotalCharges_168.15TotalCharges_168.2TotalCharges_168.5TotalCharges_168.6TotalCharges_168.65TotalCharges_168.9TotalCharges_1680.25TotalCharges_1681.6TotalCharges_1682.05TotalCharges_1682.4TotalCharges_1683.6TotalCharges_1683.7TotalCharges_1685.9TotalCharges_1686.15TotalCharges_1686.85TotalCharges_1687.95TotalCharges_1688.9TotalCharges_1689.45TotalCharges_169.05TotalCharges_169.45TotalCharges_169.65TotalCharges_169.75TotalCharges_169.8TotalCharges_1691.9TotalCharges_1692.6TotalCharges_1696.2TotalCharges_1697.7TotalCharges_1698.55TotalCharges_1699.15TotalCharges_170.5TotalCharges_170.85TotalCharges_170.9TotalCharges_1700.9TotalCharges_1701.65TotalCharges_1702.9TotalCharges_1704.95TotalCharges_1706.45TotalCharges_1709.1TotalCharges_1709.15TotalCharges_171TotalCharges_171.15TotalCharges_171.45TotalCharges_1710.15TotalCharges_1710.45TotalCharges_1710.9TotalCharges_1712.7TotalCharges_1712.9TotalCharges_1713.1TotalCharges_1714.55TotalCharges_1714.95TotalCharges_1715.1TotalCharges_1715.15TotalCharges_1715.65TotalCharges_1716.45TotalCharges_1718.2TotalCharges_1718.35TotalCharges_1718.95TotalCharges_1719.15TotalCharges_172.35TotalCharges_172.85TotalCharges_1723.95TotalCharges_1724.15TotalCharges_1725TotalCharges_1725.4TotalCharges_1725.95TotalCharges_1727.5TotalCharges_1728.2TotalCharges_1729.35TotalCharges_173TotalCharges_173.15TotalCharges_1730.35TotalCharges_1730.65TotalCharges_1732.6TotalCharges_1732.95TotalCharges_1733.15TotalCharges_1734.2TotalCharges_1734.5TotalCharges_1734.65TotalCharges_1737.45TotalCharges_1738.9TotalCharges_1739.6TotalCharges_174.2TotalCharges_174.3TotalCharges_174.45TotalCharges_174.65TotalCharges_174.7TotalCharges_174.75TotalCharges_174.8TotalCharges_1740.7TotalCharges_1740.8TotalCharges_1742.45TotalCharges_1742.5TotalCharges_1742.75TotalCharges_1742.95TotalCharges_1743.05TotalCharges_1743.5TotalCharges_1743.9TotalCharges_1745.2TotalCharges_1745.5TotalCharges_1747.2TotalCharges_1747.85TotalCharges_1748.55TotalCharges_1748.9TotalCharges_1750.7TotalCharges_1750.85TotalCharges_1752.45TotalCharges_1752.55TotalCharges_1752.65TotalCharges_1753TotalCharges_1755.35TotalCharges_1756.2TotalCharges_1756.6TotalCharges_1758.6TotalCharges_1758.9TotalCharges_1759.4TotalCharges_1759.55TotalCharges_176.2TotalCharges_176.3TotalCharges_1760.25TotalCharges_1761.05TotalCharges_1761.45TotalCharges_1763.55TotalCharges_1764.75TotalCharges_1765.95TotalCharges_1766.75TotalCharges_1767.35TotalCharges_1769.6TotalCharges_177.4TotalCharges_1772.25TotalCharges_1775.8TotalCharges_1776TotalCharges_1776.45TotalCharges_1776.55TotalCharges_1776.95TotalCharges_1777.6TotalCharges_1777.9TotalCharges_1778.5TotalCharges_1778.7TotalCharges_1779.95TotalCharges_178.1TotalCharges_178.5TotalCharges_178.7TotalCharges_178.8TotalCharges_178.85TotalCharges_1781.35TotalCharges_1782TotalCharges_1782.05TotalCharges_1782.4TotalCharges_1783.6TotalCharges_1783.75TotalCharges_1784.5TotalCharges_1784.9TotalCharges_1785.65TotalCharges_1787.35TotalCharges_1789.25TotalCharges_1789.65TotalCharges_1789.9TotalCharges_179.25TotalCharges_179.35TotalCharges_179.85TotalCharges_1790.15TotalCharges_1790.35TotalCharges_1790.6TotalCharges_1790.65TotalCharges_1790.8TotalCharges_1793.25TotalCharges_1794.65TotalCharges_1794.8TotalCharges_1796.55TotalCharges_1797.1TotalCharges_1797.75TotalCharges_1798.65TotalCharges_1798.9TotalCharges_1799.3TotalCharges_18.8TotalCharges_18.85TotalCharges_18.9TotalCharges_180.25TotalCharges_180.3TotalCharges_180.7TotalCharges_1800.05TotalCharges_1801.1TotalCharges_1801.9TotalCharges_1802.15TotalCharges_1802.55TotalCharges_1803.7TotalCharges_1806.35TotalCharges_1808.7TotalCharges_1809.35TotalCharges_181.1TotalCharges_181.5TotalCharges_181.6TotalCharges_181.65TotalCharges_181.7TotalCharges_181.8TotalCharges_1810.55TotalCharges_1810.85TotalCharges_1813.1TotalCharges_1813.35TotalCharges_1815TotalCharges_1815.3TotalCharges_1815.65TotalCharges_1816.2TotalCharges_1816.75TotalCharges_1818.3TotalCharges_1818.9TotalCharges_1820.45TotalCharges_1820.9TotalCharges_1821.2TotalCharges_1821.8TotalCharges_1821.95TotalCharges_1825.5TotalCharges_1826.7TotalCharges_183.15TotalCharges_183.75TotalCharges_1830.05TotalCharges_1830.1TotalCharges_1832.4TotalCharges_1834.15TotalCharges_1834.95TotalCharges_1835.3TotalCharges_1836.25TotalCharges_1836.9TotalCharges_1837.7TotalCharges_1837.9TotalCharges_1838.15TotalCharges_184.05TotalCharges_184.1TotalCharges_184.15TotalCharges_184.4TotalCharges_184.65TotalCharges_184.95TotalCharges_1840.75TotalCharges_1841.2TotalCharges_1841.9TotalCharges_1842.7TotalCharges_1842.8TotalCharges_1843.05TotalCharges_1845.9TotalCharges_1846.65TotalCharges_1847.55TotalCharges_1848.8TotalCharges_1849.2TotalCharges_1849.95TotalCharges_185.2TotalCharges_185.4TotalCharges_185.55TotalCharges_185.6TotalCharges_1850.65TotalCharges_1851.45TotalCharges_1852.85TotalCharges_1855.65TotalCharges_1856.4TotalCharges_1857.25TotalCharges_1857.3TotalCharges_1857.75TotalCharges_1857.85TotalCharges_1859.1TotalCharges_1859.2TotalCharges_1859.5TotalCharges_186.05TotalCharges_186.15TotalCharges_186.3TotalCharges_1861.1TotalCharges_1861.5TotalCharges_1862.9TotalCharges_1863.8TotalCharges_1864.2TotalCharges_1864.65TotalCharges_1866.45TotalCharges_1867.6TotalCharges_1867.7TotalCharges_1868.4TotalCharges_187.35TotalCharges_187.45TotalCharges_187.75TotalCharges_1871.15TotalCharges_1871.85TotalCharges_1872.2TotalCharges_1873.7TotalCharges_1874.3TotalCharges_1874.45TotalCharges_1875.25TotalCharges_1875.55TotalCharges_1879.25TotalCharges_188.1TotalCharges_188.7TotalCharges_1880.85TotalCharges_1882.55TotalCharges_1882.8TotalCharges_1884.65TotalCharges_1885.15TotalCharges_1886.25TotalCharges_1886.4TotalCharges_1887TotalCharges_1888.25TotalCharges_1888.45TotalCharges_1888.65TotalCharges_1889.5TotalCharges_189.1TotalCharges_189.2TotalCharges_189.45TotalCharges_189.95TotalCharges_1893.5TotalCharges_1893.95TotalCharges_1898.1TotalCharges_1899.65TotalCharges_19TotalCharges_19.05TotalCharges_19.1TotalCharges_19.15TotalCharges_19.2TotalCharges_19.25TotalCharges_19.3TotalCharges_19.4TotalCharges_19.45TotalCharges_19.5TotalCharges_19.55TotalCharges_19.6TotalCharges_19.65TotalCharges_19.7TotalCharges_19.75TotalCharges_19.8TotalCharges_19.85TotalCharges_19.9TotalCharges_19.95TotalCharges_190.05TotalCharges_190.1TotalCharges_190.25TotalCharges_190.5TotalCharges_1900.25TotalCharges_1901TotalCharges_1901.05TotalCharges_1901.25TotalCharges_1901.65TotalCharges_1902TotalCharges_1905.4TotalCharges_1905.7TotalCharges_1907.85TotalCharges_1908.35TotalCharges_191.05TotalCharges_191.1TotalCharges_191.35TotalCharges_1910.6TotalCharges_1910.75TotalCharges_1911.5TotalCharges_1912.15TotalCharges_1912.85TotalCharges_1914.5TotalCharges_1914.9TotalCharges_1916TotalCharges_1916.2TotalCharges_1917.1TotalCharges_1923.5TotalCharges_1923.85TotalCharges_1924.1TotalCharges_1927.3TotalCharges_1928.7TotalCharges_1929TotalCharges_1929.35TotalCharges_1929.95TotalCharges_193.05TotalCharges_193.6TotalCharges_193.8TotalCharges_1930.9TotalCharges_1931.3TotalCharges_1931.75TotalCharges_1932.75TotalCharges_1934.45TotalCharges_1936.85TotalCharges_1937.4TotalCharges_1938.05TotalCharges_1938.9TotalCharges_1939.35TotalCharges_194.2TotalCharges_194.55TotalCharges_1940.8TotalCharges_1940.85TotalCharges_1941.5TotalCharges_1943.2TotalCharges_1943.9TotalCharges_1948.35TotalCharges_1949.4TotalCharges_195.05TotalCharges_195.3TotalCharges_195.65TotalCharges_1951TotalCharges_1952.25TotalCharges_1952.8TotalCharges_1955.4TotalCharges_1956.4TotalCharges_1957.1TotalCharges_1958.45TotalCharges_1958.95TotalCharges_1959.5TotalCharges_196.15TotalCharges_196.35TotalCharges_196.4TotalCharges_196.75TotalCharges_196.9TotalCharges_196.95TotalCharges_1961.6TotalCharges_1964.6TotalCharges_1968.1TotalCharges_197.4TotalCharges_197.7TotalCharges_1970.5TotalCharges_1971.15TotalCharges_1971.5TotalCharges_1972.35TotalCharges_1973.75TotalCharges_1974.8TotalCharges_1975.85TotalCharges_1978.65TotalCharges_198TotalCharges_198.1TotalCharges_198.25TotalCharges_198.5TotalCharges_198.6TotalCharges_198.7TotalCharges_1980.3TotalCharges_1982.1TotalCharges_1982.6TotalCharges_1983.15TotalCharges_1985.15TotalCharges_1988.05TotalCharges_199.45TotalCharges_199.75TotalCharges_199.85TotalCharges_1990.5TotalCharges_1992.2TotalCharges_1992.55TotalCharges_1992.85TotalCharges_1992.95TotalCharges_1993.2TotalCharges_1993.25TotalCharges_1993.8TotalCharges_1994.3TotalCharges_20TotalCharges_20.05TotalCharges_20.1TotalCharges_20.15TotalCharges_20.2TotalCharges_20.25TotalCharges_20.3TotalCharges_20.35TotalCharges_20.4TotalCharges_20.45TotalCharges_20.5TotalCharges_20.55TotalCharges_20.6TotalCharges_20.65TotalCharges_20.7TotalCharges_20.75TotalCharges_20.8TotalCharges_20.85TotalCharges_20.9TotalCharges_20.95TotalCharges_200.2TotalCharges_2000.2TotalCharges_2001TotalCharges_2001.5TotalCharges_2003.6TotalCharges_2006.1TotalCharges_2006.95TotalCharges_2007.25TotalCharges_2007.85TotalCharges_201TotalCharges_201.1TotalCharges_201.7TotalCharges_201.95TotalCharges_2010.55TotalCharges_2010.95TotalCharges_2011.4TotalCharges_2012.7TotalCharges_2015.35TotalCharges_2015.8TotalCharges_2016.3TotalCharges_2016.45TotalCharges_2018.1TotalCharges_2018.4TotalCharges_2019.8TotalCharges_202.15TotalCharges_202.25TotalCharges_202.3TotalCharges_202.9TotalCharges_2020.9TotalCharges_2021.2TotalCharges_2021.35TotalCharges_2023.55TotalCharges_2024.1TotalCharges_2025.1TotalCharges_2028.8TotalCharges_2029.05TotalCharges_203.95TotalCharges_2030.3TotalCharges_2030.75TotalCharges_2031.95TotalCharges_2032.3TotalCharges_2033.05TotalCharges_2033.85TotalCharges_2034.25TotalCharges_2036.55TotalCharges_2038.7TotalCharges_204.55TotalCharges_204.7TotalCharges_2042.05TotalCharges_2043.45TotalCharges_2044.75TotalCharges_2044.95TotalCharges_2045.55TotalCharges_2048.8TotalCharges_2049.05TotalCharges_205.05TotalCharges_2053.05TotalCharges_2054.4TotalCharges_2058.5TotalCharges_206.15TotalCharges_206.6TotalCharges_2062.15TotalCharges_2065.15TotalCharges_2065.4TotalCharges_2066TotalCharges_2067TotalCharges_2068.55TotalCharges_207.35TotalCharges_207.4TotalCharges_2070.05TotalCharges_2070.6TotalCharges_2070.75TotalCharges_2072.75TotalCharges_2075.1TotalCharges_2076.05TotalCharges_2076.2TotalCharges_2077.95TotalCharges_2078.55TotalCharges_2078.95TotalCharges_208TotalCharges_208.25TotalCharges_208.45TotalCharges_208.7TotalCharges_208.85TotalCharges_2080.1TotalCharges_2082.95TotalCharges_2083.1TotalCharges_2085.45TotalCharges_2088.05TotalCharges_2088.45TotalCharges_2088.75TotalCharges_2088.8TotalCharges_209.1TotalCharges_209.9TotalCharges_2090.25TotalCharges_2092.9TotalCharges_2093.4TotalCharges_2093.9TotalCharges_2094.65TotalCharges_2094.9TotalCharges_2095TotalCharges_2096.1TotalCharges_21TotalCharges_21.05TotalCharges_21.1TotalCharges_210.3TotalCharges_210.65TotalCharges_210.75TotalCharges_2104.55TotalCharges_2106.05TotalCharges_2106.3TotalCharges_2107.15TotalCharges_2108.35TotalCharges_2109.35TotalCharges_211.95TotalCharges_2110.15TotalCharges_2111.3TotalCharges_2111.45TotalCharges_2117.2TotalCharges_2117.25TotalCharges_2119.5TotalCharges_212.3TotalCharges_212.4TotalCharges_2122.05TotalCharges_2122.45TotalCharges_213.35TotalCharges_2130.45TotalCharges_2130.55TotalCharges_2134.3TotalCharges_2135.5TotalCharges_2136.9TotalCharges_2139.1TotalCharges_2139.2TotalCharges_214.4TotalCharges_214.55TotalCharges_214.75TotalCharges_2142.8TotalCharges_2145TotalCharges_2146.5TotalCharges_2149.05TotalCharges_215.2TotalCharges_215.25TotalCharges_215.8TotalCharges_2151.6TotalCharges_2156.25TotalCharges_2157.3TotalCharges_2157.5TotalCharges_2157.95TotalCharges_216.2TotalCharges_216.45TotalCharges_216.75TotalCharges_216.9TotalCharges_2162.6TotalCharges_2165.05TotalCharges_2168.15TotalCharges_2168.9TotalCharges_2169.4TotalCharges_2169.75TotalCharges_2169.8TotalCharges_217.1TotalCharges_217.45TotalCharges_217.5TotalCharges_217.55TotalCharges_2171.15TotalCharges_2172.05TotalCharges_2177.45TotalCharges_2178.6TotalCharges_218.5TotalCharges_218.55TotalCharges_2180.55TotalCharges_2181.55TotalCharges_2181.75TotalCharges_2184.35TotalCharges_2184.6TotalCharges_2184.85TotalCharges_2186.4TotalCharges_2187.15TotalCharges_2187.55TotalCharges_2188.45TotalCharges_2188.5TotalCharges_219TotalCharges_219.35TotalCharges_219.5TotalCharges_219.65TotalCharges_2191.15TotalCharges_2191.7TotalCharges_2192.9TotalCharges_2193TotalCharges_2193.2TotalCharges_2193.65TotalCharges_2196.15TotalCharges_2196.3TotalCharges_2196.45TotalCharges_2198.3TotalCharges_2198.9TotalCharges_2199.05TotalCharges_220.1TotalCharges_220.35TotalCharges_220.4TotalCharges_220.45TotalCharges_220.6TotalCharges_220.65TotalCharges_220.75TotalCharges_220.8TotalCharges_220.95TotalCharges_2200.25TotalCharges_2200.7TotalCharges_2201.75TotalCharges_2203.1TotalCharges_2203.65TotalCharges_2203.7TotalCharges_2204.35TotalCharges_2208.05TotalCharges_2208.75TotalCharges_2209.15TotalCharges_2209.75TotalCharges_221.1TotalCharges_221.35TotalCharges_221.7TotalCharges_221.9TotalCharges_2210.2TotalCharges_2211.8TotalCharges_2212.55TotalCharges_2215TotalCharges_2215.25TotalCharges_2215.4TotalCharges_2215.45TotalCharges_2217.15TotalCharges_222.3TotalCharges_222.65TotalCharges_2220.1TotalCharges_2221.55TotalCharges_2224.5TotalCharges_2227.1TotalCharges_2227.8TotalCharges_223.15TotalCharges_223.45TotalCharges_223.6TotalCharges_223.75TotalCharges_223.9TotalCharges_2230.85TotalCharges_2231.05TotalCharges_2234.55TotalCharges_2234.95TotalCharges_2236.2TotalCharges_2237.55TotalCharges_2238.5TotalCharges_2239.4TotalCharges_2239.65TotalCharges_224.05TotalCharges_224.5TotalCharges_224.85TotalCharges_2243.9TotalCharges_2244.95TotalCharges_2245.4TotalCharges_2248.05TotalCharges_2249.1TotalCharges_2249.95TotalCharges_225.55TotalCharges_225.6TotalCharges_225.65TotalCharges_225.75TotalCharges_225.85TotalCharges_2250.65TotalCharges_2254.2TotalCharges_2257.75TotalCharges_2258.25TotalCharges_2259.35TotalCharges_226.2TotalCharges_226.45TotalCharges_226.55TotalCharges_226.8TotalCharges_226.95TotalCharges_2263.4TotalCharges_2263.45TotalCharges_2264.05TotalCharges_2264.5TotalCharges_2265TotalCharges_2265.25TotalCharges_227.35TotalCharges_227.45TotalCharges_2271.85TotalCharges_2272.8TotalCharges_2274.1TotalCharges_2274.35TotalCharges_2274.9TotalCharges_2275.1TotalCharges_2276.1TotalCharges_2276.95TotalCharges_2277.65TotalCharges_2278.75TotalCharges_228TotalCharges_228.4TotalCharges_228.65TotalCharges_228.75TotalCharges_2281.6TotalCharges_2282.55TotalCharges_2282.95TotalCharges_2283.15TotalCharges_2283.3TotalCharges_2287.25TotalCharges_2288.7TotalCharges_2289.9TotalCharges_229.4TotalCharges_229.5TotalCharges_229.55TotalCharges_229.6TotalCharges_229.7TotalCharges_2291.2TotalCharges_2292.75TotalCharges_2293.6TotalCharges_2296.25TotalCharges_2298.55TotalCharges_2298.9TotalCharges_23.45TotalCharges_2301.15TotalCharges_2302.35TotalCharges_2303.35TotalCharges_2308.6TotalCharges_2309.55TotalCharges_231.45TotalCharges_231.8TotalCharges_2310.2TotalCharges_2312.55TotalCharges_2313.8TotalCharges_2316.85TotalCharges_2317.1TotalCharges_2319.8TotalCharges_232.1TotalCharges_232.35TotalCharges_232.4TotalCharges_232.5TotalCharges_232.55TotalCharges_2320.8TotalCharges_2322.85TotalCharges_2324.7TotalCharges_2326.05TotalCharges_233.55TotalCharges_233.65TotalCharges_233.7TotalCharges_233.9TotalCharges_2331.3TotalCharges_2333.05TotalCharges_2333.85TotalCharges_2335.3TotalCharges_2337.45TotalCharges_2338.35TotalCharges_2339.3TotalCharges_234.85TotalCharges_2341.5TotalCharges_2341.55TotalCharges_2342.2TotalCharges_2343.85TotalCharges_2344.5TotalCharges_2345.2TotalCharges_2345.55TotalCharges_2347.85TotalCharges_2347.9TotalCharges_2348.45TotalCharges_2349.8TotalCharges_235TotalCharges_235.05TotalCharges_235.1TotalCharges_235.2TotalCharges_235.5TotalCharges_235.65TotalCharges_235.8TotalCharges_2351.45TotalCharges_2351.8TotalCharges_2354.8TotalCharges_2356.75TotalCharges_2357.75TotalCharges_2361.8TotalCharges_2362.1TotalCharges_2364TotalCharges_2365.15TotalCharges_2368.4TotalCharges_2369.05TotalCharges_2369.3TotalCharges_2369.7TotalCharges_237.2TotalCharges_237.25TotalCharges_237.3TotalCharges_237.65TotalCharges_237.7TotalCharges_237.75TotalCharges_237.95TotalCharges_2375.2TotalCharges_2375.4TotalCharges_2379.1TotalCharges_238.1TotalCharges_238.15TotalCharges_238.5TotalCharges_2381.55TotalCharges_2383.6TotalCharges_2384.15TotalCharges_2386.85TotalCharges_2387.75TotalCharges_239TotalCharges_239.05TotalCharges_239.45TotalCharges_239.55TotalCharges_239.75TotalCharges_2390.45TotalCharges_2391.15TotalCharges_2391.8TotalCharges_2395.05TotalCharges_2395.7TotalCharges_2398.4TotalCharges_24TotalCharges_24.05TotalCharges_24.2TotalCharges_24.25TotalCharges_24.4TotalCharges_24.45TotalCharges_24.6TotalCharges_24.7TotalCharges_24.75TotalCharges_24.8TotalCharges_24.9TotalCharges_240.45TotalCharges_2401.05TotalCharges_2404.1TotalCharges_2404.15TotalCharges_2404.85TotalCharges_2405.05TotalCharges_2406.1TotalCharges_2407.3TotalCharges_2409.9TotalCharges_241.3TotalCharges_2413.05TotalCharges_2414.55TotalCharges_2415.95TotalCharges_2416.1TotalCharges_2416.55TotalCharges_2419TotalCharges_2419.55TotalCharges_242TotalCharges_242.05TotalCharges_242.4TotalCharges_242.8TotalCharges_242.95TotalCharges_2421.6TotalCharges_2421.75TotalCharges_2423.4TotalCharges_2424.05TotalCharges_2424.45TotalCharges_2424.5TotalCharges_2425.4TotalCharges_2427.1TotalCharges_2427.35TotalCharges_2429.1TotalCharges_243.65TotalCharges_2431.35TotalCharges_2431.95TotalCharges_2433.5TotalCharges_2433.9TotalCharges_2434.45TotalCharges_2435.15TotalCharges_2438.6TotalCharges_244.1TotalCharges_244.45TotalCharges_244.65TotalCharges_244.75TotalCharges_244.8TotalCharges_244.85TotalCharges_2440.15TotalCharges_2440.25TotalCharges_2441.7TotalCharges_2443.3TotalCharges_2444.25TotalCharges_2447.45TotalCharges_2447.95TotalCharges_2448.5TotalCharges_2448.75TotalCharges_245.15TotalCharges_245.2TotalCharges_2452.7TotalCharges_2453.3TotalCharges_2455.05TotalCharges_2459.8TotalCharges_246.25TotalCharges_246.3TotalCharges_246.5TotalCharges_246.6TotalCharges_246.7TotalCharges_2460.15TotalCharges_2460.35TotalCharges_2460.55TotalCharges_2462.55TotalCharges_2462.6TotalCharges_2467.1TotalCharges_2467.75TotalCharges_247TotalCharges_247.25TotalCharges_2470.1TotalCharges_2471.25TotalCharges_2471.6TotalCharges_2473.95TotalCharges_2475.35TotalCharges_2479.05TotalCharges_2479.25TotalCharges_248.4TotalCharges_248.95TotalCharges_2483.05TotalCharges_2483.5TotalCharges_2483.65TotalCharges_2484TotalCharges_249.4TotalCharges_249.55TotalCharges_249.95TotalCharges_2490.15TotalCharges_2492.25TotalCharges_2494.65TotalCharges_2495.15TotalCharges_2495.2TotalCharges_2496.7TotalCharges_2497.2TotalCharges_2497.35TotalCharges_2498.4TotalCharges_2499.3TotalCharges_25TotalCharges_25.05TotalCharges_25.1TotalCharges_25.15TotalCharges_25.2TotalCharges_25.25TotalCharges_25.3TotalCharges_25.35TotalCharges_25.4TotalCharges_25.7TotalCharges_25.75TotalCharges_25.8TotalCharges_25.85TotalCharges_250.05TotalCharges_250.1TotalCharges_250.8TotalCharges_2509.25TotalCharges_2509.95TotalCharges_251.25TotalCharges_251.6TotalCharges_251.65TotalCharges_251.75TotalCharges_2510.2TotalCharges_2510.7TotalCharges_2511.3TotalCharges_2511.55TotalCharges_2511.95TotalCharges_2513.5TotalCharges_2514.5TotalCharges_2515.3TotalCharges_2516.2TotalCharges_252TotalCharges_252.75TotalCharges_2522.4TotalCharges_2524.45TotalCharges_253TotalCharges_253.8TotalCharges_253.9TotalCharges_2530.4TotalCharges_2531.4TotalCharges_2531.8TotalCharges_2535.55TotalCharges_2536.55TotalCharges_2537TotalCharges_2538.05TotalCharges_2538.2TotalCharges_254.5TotalCharges_2540.1TotalCharges_2541.25TotalCharges_2542.45TotalCharges_2545.7TotalCharges_2545.75TotalCharges_2546.85TotalCharges_2548.55TotalCharges_2548.65TotalCharges_2549.1TotalCharges_255.25TotalCharges_255.35TotalCharges_255.5TotalCharges_255.55TotalCharges_255.6TotalCharges_2550.9TotalCharges_2552.9TotalCharges_2553.35TotalCharges_2553.7TotalCharges_2554TotalCharges_2555.05TotalCharges_2555.9TotalCharges_256.25TotalCharges_256.6TotalCharges_256.75TotalCharges_2560.1TotalCharges_2564.3TotalCharges_2564.95TotalCharges_2566.3TotalCharges_2566.5TotalCharges_2568.15TotalCharges_2568.55TotalCharges_257TotalCharges_257.05TotalCharges_257.6TotalCharges_2570TotalCharges_2570.2TotalCharges_2572.95TotalCharges_2575.45TotalCharges_2576.2TotalCharges_2576.8TotalCharges_258.35TotalCharges_2583.75TotalCharges_2585.95TotalCharges_2586TotalCharges_2587.7TotalCharges_2588.95TotalCharges_259.4TotalCharges_259.65TotalCharges_259.8TotalCharges_2595.25TotalCharges_2595.85TotalCharges_2596.15TotalCharges_2597.6TotalCharges_2598.95TotalCharges_2599.95TotalCharges_260.7TotalCharges_260.8TotalCharges_260.9TotalCharges_2602.9TotalCharges_2603.1TotalCharges_2603.3TotalCharges_2603.95TotalCharges_2606.35TotalCharges_2607.6TotalCharges_261.25TotalCharges_261.3TotalCharges_261.65TotalCharges_2610.65TotalCharges_2613.4TotalCharges_2614.1TotalCharges_2618.3TotalCharges_2619.15TotalCharges_2619.25TotalCharges_262.05TotalCharges_262.3TotalCharges_2621.75TotalCharges_2623.65TotalCharges_2624.25TotalCharges_2625.25TotalCharges_2625.55TotalCharges_2626.15TotalCharges_2627.2TotalCharges_2627.35TotalCharges_2628.6TotalCharges_263.05TotalCharges_263.65TotalCharges_2633.3TotalCharges_2633.4TotalCharges_2633.95TotalCharges_2635TotalCharges_2636.05TotalCharges_2638.1TotalCharges_264.55TotalCharges_264.8TotalCharges_264.85TotalCharges_2640.55TotalCharges_2642.05TotalCharges_2647.1TotalCharges_2647.2TotalCharges_2649.15TotalCharges_265.3TotalCharges_265.35TotalCharges_265.45TotalCharges_265.75TotalCharges_265.8TotalCharges_2651.1TotalCharges_2651.2TotalCharges_2653.65TotalCharges_2654.05TotalCharges_2655.25TotalCharges_2656.3TotalCharges_2656.5TotalCharges_2656.7TotalCharges_2657.55TotalCharges_2658.4TotalCharges_2658.8TotalCharges_2659.4TotalCharges_2659.45TotalCharges_266.6TotalCharges_266.8TotalCharges_266.9TotalCharges_266.95TotalCharges_2660.2TotalCharges_2661.1TotalCharges_2664.3TotalCharges_2665TotalCharges_2666.75TotalCharges_2669.45TotalCharges_267TotalCharges_267.35TotalCharges_267.4TotalCharges_267.6TotalCharges_2673.45TotalCharges_2674.15TotalCharges_2679.7TotalCharges_268.35TotalCharges_268.4TotalCharges_268.45TotalCharges_2680.15TotalCharges_2681.15TotalCharges_2683.2TotalCharges_2684.35TotalCharges_2684.85TotalCharges_2686.05TotalCharges_2688.45TotalCharges_2688.85TotalCharges_2689.35TotalCharges_269.65TotalCharges_2692.75TotalCharges_2696.55TotalCharges_2697.4TotalCharges_2698.35TotalCharges_27.55TotalCharges_270.15TotalCharges_270.2TotalCharges_270.6TotalCharges_270.7TotalCharges_270.8TotalCharges_270.95TotalCharges_2708.2TotalCharges_2710.25TotalCharges_2715.3TotalCharges_2716.3TotalCharges_2718.3TotalCharges_2719.2TotalCharges_272TotalCharges_272.15TotalCharges_272.2TotalCharges_272.35TotalCharges_272.95TotalCharges_2722.2TotalCharges_2723.15TotalCharges_2723.4TotalCharges_2723.75TotalCharges_2724.25TotalCharges_2724.6TotalCharges_2727.3TotalCharges_2727.8TotalCharges_2728.6TotalCharges_273TotalCharges_273.2TotalCharges_273.25TotalCharges_273.4TotalCharges_273.75TotalCharges_2730.85TotalCharges_2731TotalCharges_2737.05TotalCharges_274.35TotalCharges_274.7TotalCharges_2743.45TotalCharges_2745.2TotalCharges_2745.7TotalCharges_2747.2TotalCharges_2748.7TotalCharges_275.4TotalCharges_275.7TotalCharges_275.9TotalCharges_2751TotalCharges_2753.8TotalCharges_2754TotalCharges_2754.45TotalCharges_2755.35TotalCharges_2757.85TotalCharges_2758.15TotalCharges_276.5TotalCharges_2762.75TotalCharges_2763TotalCharges_2763.35TotalCharges_2766.4TotalCharges_2768.35TotalCharges_2768.65TotalCharges_2773.9TotalCharges_2774.55TotalCharges_2779.5TotalCharges_278.4TotalCharges_278.85TotalCharges_2780.6TotalCharges_2781.85TotalCharges_2782.4TotalCharges_2789.7TotalCharges_279.2TotalCharges_279.25TotalCharges_279.3TotalCharges_279.5TotalCharges_279.55TotalCharges_2790.65TotalCharges_2791.5TotalCharges_2793.55TotalCharges_2796.35TotalCharges_2796.45TotalCharges_2799TotalCharges_2799.75TotalCharges_28.3TotalCharges_280TotalCharges_280.35TotalCharges_280.4TotalCharges_280.85TotalCharges_2802.3TotalCharges_2804.45TotalCharges_2806.9TotalCharges_2807.1TotalCharges_2807.65TotalCharges_2809.05TotalCharges_281TotalCharges_2812.2TotalCharges_2813.05TotalCharges_2815.25TotalCharges_2816.65TotalCharges_2820.65TotalCharges_2823TotalCharges_283.75TotalCharges_283.95TotalCharges_2830.45TotalCharges_2832.75TotalCharges_2835.5TotalCharges_2835.9TotalCharges_2838.55TotalCharges_2838.7TotalCharges_2839.45TotalCharges_2839.65TotalCharges_2839.95TotalCharges_284.3TotalCharges_284.35TotalCharges_284.9TotalCharges_2841.55TotalCharges_2845.15TotalCharges_2847.2TotalCharges_2847.4TotalCharges_2848.45TotalCharges_285.2TotalCharges_2852.4TotalCharges_2854.55TotalCharges_2854.95TotalCharges_2857.6TotalCharges_286.8TotalCharges_2861.45TotalCharges_2862.55TotalCharges_2862.75TotalCharges_2866.45TotalCharges_2867.75TotalCharges_2868.05TotalCharges_2868.15TotalCharges_2869.85TotalCharges_287.4TotalCharges_287.85TotalCharges_2871.5TotalCharges_2874.15TotalCharges_2874.45TotalCharges_2877.05TotalCharges_2877.95TotalCharges_2878.55TotalCharges_2878.75TotalCharges_2879.2TotalCharges_2879.9TotalCharges_288.05TotalCharges_288.35TotalCharges_2882.25TotalCharges_2884.9TotalCharges_2888.7TotalCharges_289.1TotalCharges_289.3TotalCharges_2890.65TotalCharges_2893.4TotalCharges_2894.55TotalCharges_2896.4TotalCharges_2896.55TotalCharges_2896.6TotalCharges_2897.95TotalCharges_2898.95TotalCharges_29.15TotalCharges_29.7TotalCharges_29.85TotalCharges_29.9TotalCharges_29.95TotalCharges_290.55TotalCharges_2901.8TotalCharges_2907.35TotalCharges_2907.55TotalCharges_2908.2TotalCharges_2909.95TotalCharges_291.4TotalCharges_291.45TotalCharges_291.9TotalCharges_2911.3TotalCharges_2911.5TotalCharges_2911.8TotalCharges_2917.5TotalCharges_2917.65TotalCharges_2919.85TotalCharges_292.4TotalCharges_292.8TotalCharges_292.85TotalCharges_2921.75TotalCharges_2924.05TotalCharges_2928.5TotalCharges_2929.75TotalCharges_293.15TotalCharges_293.3TotalCharges_293.65TotalCharges_293.85TotalCharges_2931TotalCharges_2933.2TotalCharges_2933.95TotalCharges_2934.3TotalCharges_2936.25TotalCharges_2937.65TotalCharges_2939.8TotalCharges_294.2TotalCharges_294.45TotalCharges_294.5TotalCharges_294.9TotalCharges_294.95TotalCharges_2948.6TotalCharges_295.55TotalCharges_295.65TotalCharges_295.95TotalCharges_2952.85TotalCharges_2954.5TotalCharges_2958.95TotalCharges_2959.8TotalCharges_296.1TotalCharges_296.15TotalCharges_2960.1TotalCharges_2961.4TotalCharges_2962TotalCharges_2964TotalCharges_2964.05TotalCharges_2964.8TotalCharges_2965.75TotalCharges_2966.95TotalCharges_2967.35TotalCharges_297.3TotalCharges_297.35TotalCharges_2970.3TotalCharges_2970.8TotalCharges_2971.7TotalCharges_2974.5TotalCharges_2976.95TotalCharges_2978.3TotalCharges_2979.2TotalCharges_2979.3TotalCharges_2979.5TotalCharges_298.35TotalCharges_298.45TotalCharges_298.7TotalCharges_2983.65TotalCharges_2983.8TotalCharges_2985.25TotalCharges_2989.6TotalCharges_299.05TotalCharges_299.2TotalCharges_299.3TotalCharges_299.4TotalCharges_299.7TotalCharges_299.75TotalCharges_2995.45TotalCharges_2997.45TotalCharges_2998TotalCharges_30.2TotalCharges_30.5TotalCharges_30.55TotalCharges_300.4TotalCharges_300.7TotalCharges_300.8TotalCharges_3000.25TotalCharges_3001.2TotalCharges_3003.55TotalCharges_3004.15TotalCharges_3005.8TotalCharges_3007.25TotalCharges_3008.15TotalCharges_3008.55TotalCharges_3009.5TotalCharges_301.4TotalCharges_301.55TotalCharges_301.9TotalCharges_3011.65TotalCharges_3013.05TotalCharges_3014.65TotalCharges_3015.75TotalCharges_3017.65TotalCharges_3019.1TotalCharges_3019.25TotalCharges_3019.5TotalCharges_3019.7TotalCharges_302.35TotalCharges_302.45TotalCharges_302.6TotalCharges_302.75TotalCharges_3021.3TotalCharges_3021.45TotalCharges_3021.6TotalCharges_3023.55TotalCharges_3023.65TotalCharges_3023.85TotalCharges_3024.15TotalCharges_3027.25TotalCharges_3027.4TotalCharges_3027.65TotalCharges_3029.1TotalCharges_303.15TotalCharges_303.7TotalCharges_3030.6TotalCharges_3035.35TotalCharges_3035.8TotalCharges_3036.75TotalCharges_3038.55TotalCharges_304.6TotalCharges_3042.25TotalCharges_3043.6TotalCharges_3043.7TotalCharges_3045.75TotalCharges_3046.05TotalCharges_3046.15TotalCharges_3046.4TotalCharges_3047.15TotalCharges_305.1TotalCharges_305.55TotalCharges_305.95TotalCharges_3050.15TotalCharges_3053TotalCharges_3055.5TotalCharges_3058.15TotalCharges_3058.3TotalCharges_3058.65TotalCharges_306.05TotalCharges_306.6TotalCharges_3062.45TotalCharges_3066.45TotalCharges_3067.2TotalCharges_3068.6TotalCharges_3069.45TotalCharges_307TotalCharges_307.4TotalCharges_307.6TotalCharges_3077TotalCharges_3078.1TotalCharges_308.05TotalCharges_308.1TotalCharges_308.25TotalCharges_308.7TotalCharges_3082.1TotalCharges_3084.9TotalCharges_3085.35TotalCharges_3088.25TotalCharges_3088.75TotalCharges_3089.1TotalCharges_3089.6TotalCharges_309.1TotalCharges_309.25TotalCharges_309.35TotalCharges_309.4TotalCharges_3090.05TotalCharges_3090.65TotalCharges_3091.75TotalCharges_3092TotalCharges_3092.65TotalCharges_3094.05TotalCharges_3094.65TotalCharges_3096.9TotalCharges_3097TotalCharges_3097.2TotalCharges_31.2TotalCharges_31.35TotalCharges_31.55TotalCharges_31.9TotalCharges_310.6TotalCharges_3103.25TotalCharges_3105.55TotalCharges_3107.3TotalCharges_3109.9TotalCharges_311.6TotalCharges_3110.1TotalCharges_3112.05TotalCharges_3116.15TotalCharges_3119.9TotalCharges_312.7TotalCharges_3121.1TotalCharges_3121.4TotalCharges_3121.45TotalCharges_3122.4TotalCharges_3124.5TotalCharges_3126.45TotalCharges_3126.85TotalCharges_3128.8TotalCharges_313TotalCharges_313.4TotalCharges_313.45TotalCharges_313.6TotalCharges_3131.55TotalCharges_3131.8TotalCharges_3132.75TotalCharges_3134.7TotalCharges_3139.8TotalCharges_314.45TotalCharges_314.55TotalCharges_314.6TotalCharges_314.95TotalCharges_3141.7TotalCharges_3143.65TotalCharges_3145.15TotalCharges_3145.9TotalCharges_3147.15TotalCharges_3147.5TotalCharges_315.3TotalCharges_3152.5TotalCharges_3157TotalCharges_316.2TotalCharges_316.9TotalCharges_3160.55TotalCharges_3161.2TotalCharges_3161.4TotalCharges_3161.6TotalCharges_3162.65TotalCharges_3165.6TotalCharges_3166.9TotalCharges_3168TotalCharges_3168.75TotalCharges_3169.55TotalCharges_317.25TotalCharges_317.75TotalCharges_3171.15TotalCharges_3171.6TotalCharges_3173.35TotalCharges_3175.85TotalCharges_3177.25TotalCharges_318.1TotalCharges_318.5TotalCharges_318.6TotalCharges_318.9TotalCharges_3180.5TotalCharges_3181.8TotalCharges_3182.95TotalCharges_3183.4TotalCharges_3184.25TotalCharges_3186.65TotalCharges_3186.7TotalCharges_3187.65TotalCharges_319.15TotalCharges_319.6TotalCharges_319.85TotalCharges_3190.25TotalCharges_3190.65TotalCharges_3196TotalCharges_3198.6TotalCharges_3199TotalCharges_32.7TotalCharges_320.4TotalCharges_320.45TotalCharges_3201.55TotalCharges_3204.4TotalCharges_3204.65TotalCharges_3205.6TotalCharges_3207.55TotalCharges_3208.65TotalCharges_321.05TotalCharges_321.4TotalCharges_321.65TotalCharges_321.7TotalCharges_321.75TotalCharges_321.9TotalCharges_3210.35TotalCharges_3211.2TotalCharges_3211.9TotalCharges_3213.75TotalCharges_3217.55TotalCharges_3217.65TotalCharges_3219.75TotalCharges_322.5TotalCharges_322.9TotalCharges_3221.25TotalCharges_3229.4TotalCharges_3229.65TotalCharges_323.15TotalCharges_323.25TotalCharges_323.45TotalCharges_3231.05TotalCharges_3233.6TotalCharges_3233.85TotalCharges_3236.35TotalCharges_3237.05TotalCharges_3238.4TotalCharges_324.15TotalCharges_324.2TotalCharges_324.25TotalCharges_324.3TotalCharges_324.6TotalCharges_324.8TotalCharges_3242.5TotalCharges_3243.45TotalCharges_3244.4TotalCharges_3246.45TotalCharges_3247.55TotalCharges_3249.4TotalCharges_325.45TotalCharges_3250.45TotalCharges_3251.3TotalCharges_3251.85TotalCharges_3252TotalCharges_3254.35TotalCharges_3255.35TotalCharges_326.65TotalCharges_326.8TotalCharges_3260.1TotalCharges_3263.6TotalCharges_3263.9TotalCharges_3264.45TotalCharges_3264.5TotalCharges_3265.95TotalCharges_3266TotalCharges_3268.05TotalCharges_327.45TotalCharges_3270.25TotalCharges_3273.55TotalCharges_3273.8TotalCharges_3273.95TotalCharges_3274.35TotalCharges_3275.15TotalCharges_328.95TotalCharges_3281.65TotalCharges_3282.75TotalCharges_3283.05TotalCharges_329.75TotalCharges_329.8TotalCharges_329.95TotalCharges_3292.3TotalCharges_3297TotalCharges_33.2TotalCharges_33.6TotalCharges_33.7TotalCharges_330.05TotalCharges_330.15TotalCharges_330.25TotalCharges_330.6TotalCharges_330.8TotalCharges_3301.05TotalCharges_3303.05TotalCharges_3306.85TotalCharges_3309.25TotalCharges_331.3TotalCharges_331.35TotalCharges_331.6TotalCharges_331.85TotalCharges_331.9TotalCharges_3313.4Total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9.15TotalCharges_4959.6TotalCharges_496.9TotalCharges_4964.7TotalCharges_4965TotalCharges_4965.1TotalCharges_4968TotalCharges_497.3TotalCharges_497.55TotalCharges_497.6TotalCharges_4972.1TotalCharges_4973.4TotalCharges_4976.15TotalCharges_4977.2TotalCharges_498.1TotalCharges_498.25TotalCharges_4981.15TotalCharges_4982.5TotalCharges_4983.05TotalCharges_4984.85TotalCharges_4985.9TotalCharges_499.4TotalCharges_4990.25TotalCharges_4991.5TotalCharges_4993.4TotalCharges_4995.35TotalCharges_4997.5TotalCharges_50.05TotalCharges_50.1TotalCharges_50.15TotalCharges_50.35TotalCharges_50.45TotalCharges_50.5TotalCharges_50.55TotalCharges_50.6TotalCharges_50.65TotalCharges_50.7TotalCharges_50.75TotalCharges_50.8TotalCharges_50.9TotalCharges_500.1TotalCharges_5000.05TotalCharges_5000.2TotalCharges_501TotalCharges_501.2TotalCharges_501.35TotalCharges_5011.15TotalCharges_5012.1TotalCharges_5012.35TotalCharges_5013TotalCharges_5016.25TotalCharges_5016.65TotalCharges_5017.7TotalCharges_5017.9TotalCharges_502.6TotalCharges_502.85TotalCharges_5023TotalCharges_5025TotalCharges_5025.8TotalCharges_5025.85TotalCharges_5029.05TotalCharges_5029.2TotalCharges_503.25TotalCharges_503.6TotalCharges_5031TotalCharges_5031.85TotalCharges_5032.25TotalCharges_5034.05TotalCharges_5036.3TotalCharges_5036.9TotalCharges_5037.55TotalCharges_5038.15TotalCharges_5038.45TotalCharges_504.05TotalCharges_504.2TotalCharges_5040.2TotalCharges_5042.75TotalCharges_5043.2TotalCharges_5044.8TotalCharges_505.45TotalCharges_505.9TotalCharges_505.95TotalCharges_5059.75TotalCharges_506.9TotalCharges_5060.85TotalCharges_5060.9TotalCharges_5064.45TotalCharges_5064.85TotalCharges_5067.45TotalCharges_5068.05TotalCharges_5069.65TotalCharges_507.4TotalCharges_507.9TotalCharges_5070.4TotalCharges_5071.05TotalCharges_5071.9TotalCharges_5073.1TotalCharges_5082.8TotalCharges_5083.55TotalCharges_5084.65TotalCharges_5088.4TotalCharges_509.3TotalCharges_5099.15TotalCharges_51.15TotalCharges_51.2TotalCharges_51.25TotalCharges_51.6TotalCharges_510.8TotalCharges_5102.35TotalCharges_511.25TotalCharges_5116.6TotalCharges_5118.95TotalCharges_512.25TotalCharges_512.45TotalCharges_5121.3TotalCharges_5121.75TotalCharges_5124.55TotalCharges_5124.6TotalCharges_5125.5TotalCharges_5125.75TotalCharges_5127.95TotalCharges_5129.3TotalCharges_5129.45TotalCharges_5135.15TotalCharges_5135.35TotalCharges_5138.1TotalCharges_5139.65TotalCharges_514TotalCharges_514.6TotalCharges_514.75TotalCharges_5149.5TotalCharges_515.45TotalCharges_515.75TotalCharges_5150.55TotalCharges_5153.5TotalCharges_5154.5TotalCharges_5154.6TotalCharges_516.15TotalCharges_516.3TotalCharges_5163TotalCharges_5163.3TotalCharges_5165.7TotalCharges_5166.2TotalCharges_5168.1TotalCharges_5174.35TotalCharges_5175.3TotalCharges_518.3TotalCharges_518.75TotalCharges_518.9TotalCharges_5186TotalCharges_5189.75TotalCharges_519.15TotalCharges_5193.2TotalCharges_5194.05TotalCharges_5196.1TotalCharges_5199.8TotalCharges_52TotalCharges_52.05TotalCharges_52.2TotalCharges_520TotalCharges_520.1TotalCharges_520.55TotalCharges_520.95TotalCharges_5200.8TotalCharges_5206.55TotalCharges_521TotalCharges_521.1TotalCharges_521.3TotalCharges_521.35TotalCharges_521.8TotalCharges_521.9TotalCharges_5212.65TotalCharges_5215.1TotalCharges_5215.25TotalCharges_5219.65TotalCharges_522.35TotalCharges_522.95TotalCharges_5222.3TotalCharges_5222.35TotalCharges_5224.35TotalCharges_5224.5TotalCharges_5224.95TotalCharges_5229.45TotalCharges_5229.8TotalCharges_523.1TotalCharges_523.15TotalCharges_523.5TotalCharges_5231.2TotalCharges_5231.3TotalCharges_5232.9TotalCharges_5233.25TotalCharges_5234.95TotalCharges_5236.4TotalCharges_5237.4TotalCharges_5238.9TotalCharges_524.35TotalCharges_524.5TotalCharges_5243.05TotalCharges_5244.45TotalCharges_525TotalCharges_525.55TotalCharges_5251.75TotalCharges_5253.95TotalCharges_526.7TotalCharges_526.95TotalCharges_5264.25TotalCharges_5264.3TotalCharges_5264.5TotalCharges_5265.1TotalCharges_5265.2TotalCharges_5265.5TotalCharges_5265.55TotalCharges_527.35TotalCharges_527.5TotalCharges_527.9TotalCharges_5270.6TotalCharges_5275.8TotalCharges_5276.1TotalCharges_5278.15TotalCharges_528.35TotalCharges_528.45TotalCharges_5283.95TotalCharges_5289.05TotalCharges_5289.8TotalCharges_529.5TotalCharges_529.8TotalCharges_5290.45TotalCharges_5293.2TotalCharges_5293.4TotalCharges_5293.95TotalCharges_5294.6TotalCharges_5295.7TotalCharges_5299.65TotalCharges_53.05TotalCharges_53.15TotalCharges_53.5TotalCharges_53.55TotalCharges_53.95TotalCharges_530.05TotalCharges_5301.1TotalCharges_5305.05TotalCharges_5308.7TotalCharges_5309.5TotalCharges_531TotalCharges_531.15TotalCharges_531.55TotalCharges_531.6TotalCharges_5311.85TotalCharges_5315.1TotalCharges_5315.8TotalCharges_5317.8TotalCharges_532.1TotalCharges_5321.25TotalCharges_5324.5TotalCharges_5327.25TotalCharges_5329TotalCharges_5329.55TotalCharges_533.05TotalCharges_533.5TotalCharges_533.6TotalCharges_533.9TotalCharges_5330.2TotalCharges_5333.35TotalCharges_5336.35TotalCharges_534.7TotalCharges_5341.8TotalCharges_5347.95TotalCharges_5348.65TotalCharges_535.05TotalCharges_535.35TotalCharges_535.55TotalCharges_5356.45TotalCharges_5357.75TotalCharges_536.35TotalCharges_536.4TotalCharges_5360.75TotalCharges_5364.8TotalCharges_537.35TotalCharges_5373.1TotalCharges_5375.15TotalCharges_5376.4TotalCharges_5377.8TotalCharges_538.2TotalCharges_538.5TotalCharges_5386.5TotalCharges_5388.15TotalCharges_539.85TotalCharges_5396.25TotalCharges_5398.6TotalCharges_54.3TotalCharges_54.35TotalCharges_54.5TotalCharges_54.65TotalCharges_54.7TotalCharges_54.75TotalCharges_54.9TotalCharges_540.05TotalCharges_540.95TotalCharges_5401.9TotalCharges_5405.8TotalCharges_5409.75TotalCharges_541.15TotalCharges_541.5TotalCharges_541.9TotalCharges_5411.4TotalCharges_5411.65TotalCharges_542.4TotalCharges_5420.65TotalCharges_5424.25TotalCharges_5426.85TotalCharges_5427.05TotalCharges_543TotalCharges_543.8TotalCharges_5430.35TotalCharges_5430.65TotalCharges_5431.4TotalCharges_5431.9TotalCharges_5432.2TotalCharges_5435TotalCharges_5435.6TotalCharges_5436.45TotalCharges_5437.1TotalCharges_5437.75TotalCharges_5438.9TotalCharges_5438.95TotalCharges_544.55TotalCharges_5440.9TotalCharges_5442.05TotalCharges_5443.65TotalCharges_5445.95TotalCharges_5448.6TotalCharges_545.15TotalCharges_545.2TotalCharges_5450.7TotalCharges_5453.4TotalCharges_5458.8TotalCharges_5459.2TotalCharges_546.45TotalCharges_546.85TotalCharges_546.95TotalCharges_5460.2TotalCharges_5461.45TotalCharges_5464.65TotalCharges_5468.45TotalCharges_5468.95TotalCharges_547.65TotalCharges_547.8TotalCharges_5471.75TotalCharges_5475.9TotalCharges_548.8TotalCharges_548.9TotalCharges_5480.25TotalCharges_5481.25TotalCharges_5483.9TotalCharges_5484.4TotalCharges_5485.5TotalCharges_5487TotalCharges_5496.9TotalCharges_5497.05TotalCharges_5498.2TotalCharges_5498.8TotalCharges_55TotalCharges_55.05TotalCharges_55.2TotalCharges_55.25TotalCharges_55.3TotalCharges_55.4TotalCharges_55.45TotalCharges_55.55TotalCharges_55.7TotalCharges_55.8TotalCharges_550.1TotalCharges_550.35TotalCharges_550.6TotalCharges_5500.6TotalCharges_5502.55TotalCharges_5508.35TotalCharges_5509.3TotalCharges_551.3TotalCharges_551.35TotalCharges_551.95TotalCharges_5510.65TotalCharges_5511.65TotalCharges_5514.95TotalCharges_5515.45TotalCharges_5515.8TotalCharges_552.1TotalCharges_552.65TotalCharges_552.7TotalCharges_552.9TotalCharges_552.95TotalCharges_5522.7TotalCharges_5526.75TotalCharges_5528.9TotalCharges_553TotalCharges_553.4TotalCharges_5535.8TotalCharges_5536.5TotalCharges_5538.35TotalCharges_5538.8TotalCharges_554.05TotalCharges_554.25TotalCharges_554.45TotalCharges_5542.55TotalCharges_5549.4TotalCharges_555.4TotalCharges_5550.1TotalCharges_5551.15TotalCharges_5552.05TotalCharges_5552.5TotalCharges_5553.25TotalCharges_5555.3TotalCharges_556.35TotalCharges_5560TotalCharges_5563.65TotalCharges_5564.85TotalCharges_5566.4TotalCharges_5567.45TotalCharges_5567.55TotalCharges_5568.35TotalCharges_5574.35TotalCharges_5574.75TotalCharges_5576.3TotalCharges_558.8TotalCharges_5580.8TotalCharges_5581.05TotalCharges_5585.4TotalCharges_5586.45TotalCharges_5588.8TotalCharges_5589.3TotalCharges_5589.45TotalCharges_559.2TotalCharges_5594TotalCharges_5595.3TotalCharges_5597.65TotalCharges_5598TotalCharges_5598.3TotalCharges_56TotalCharges_56.25TotalCharges_56.35TotalCharges_560.6TotalCharges_560.85TotalCharges_5600.15TotalCharges_5601.4TotalCharges_5602.25TotalCharges_5607.75TotalCharges_5608.4TotalCharges_561.15TotalCharges_5610.15TotalCharges_5610.25TotalCharges_5610.7TotalCharges_5611.7TotalCharges_5611.75TotalCharges_5614.45TotalCharges_5617.75TotalCharges_5617.95TotalCharges_5618.3TotalCharges_562.6TotalCharges_562.7TotalCharges_5621.85TotalCharges_5623.7TotalCharges_5624.85TotalCharges_5625.55TotalCharges_5629.15TotalCharges_5629.55TotalCharges_563.05TotalCharges_563.5TotalCharges_563.65TotalCharges_5632.55TotalCharges_5637.85TotalCharges_5638.3TotalCharges_5639.05TotalCharges_564.35TotalCharges_564.4TotalCharges_564.65TotalCharges_5643.4TotalCharges_5645.8TotalCharges_5646.6TotalCharges_5647.95TotalCharges_565.35TotalCharges_565.75TotalCharges_5655.45TotalCharges_5656.75TotalCharges_566.1TotalCharges_566.5TotalCharges_5661.7TotalCharges_5662.25TotalCharges_5669.5TotalCharges_567.45TotalCharges_567.8TotalCharges_5673.7TotalCharges_5676TotalCharges_5676.65TotalCharges_568.2TotalCharges_568.85TotalCharges_5680.9TotalCharges_5681.1TotalCharges_5682.25TotalCharges_5683.6TotalCharges_5685.8TotalCharges_5686.4TotalCharges_5688.05TotalCharges_5688.45TotalCharges_5692.65TotalCharges_5696.6TotalCharges_57.2TotalCharges_57.4TotalCharges_57.5TotalCharges_5703TotalCharges_5703.25TotalCharges_5705.05TotalCharges_5706.2TotalCharges_5706.3TotalCharges_5708.2TotalCharges_571.05TotalCharges_571.15TotalCharges_571.45TotalCharges_571.75TotalCharges_5711.05TotalCharges_5714.2TotalCharges_5714.25TotalCharges_5717.85TotalCharges_5718.2TotalCharges_572.2TotalCharges_572.45TotalCharges_572.85TotalCharges_5720.35TotalCharges_5720.95TotalCharges_5727.15TotalCharges_5727.45TotalCharges_5728.55TotalCharges_573.05TotalCharges_573.15TotalCharges_573.3TotalCharges_573.75TotalCharges_5730.15TotalCharges_5730.7TotalCharges_5731.4TotalCharges_5731.45TotalCharges_5731.85TotalCharges_5733.4TotalCharges_5737.6TotalCharges_574.35TotalCharges_574.5TotalCharges_5742.9TotalCharges_5743.05TotalCharges_5743.3TotalCharges_5744.35TotalCharges_5746.15TotalCharges_5746.75TotalCharges_5749.8TotalCharges_575.45TotalCharges_5750TotalCharges_5753.25TotalCharges_5755.8TotalCharges_5757.2TotalCharges_576.65TotalCharges_576.7TotalCharges_576.95TotalCharges_5760.65TotalCharges_5762.95TotalCharges_5763.15TotalCharges_5763.3TotalCharges_5764.7TotalCharges_5769.6TotalCharges_5769.75TotalCharges_577.15TotalCharges_577.6TotalCharges_5774.55TotalCharges_5776.45TotalCharges_5779.6TotalCharges_578.5TotalCharges_5780.7TotalCharges_5784.3TotalCharges_5785.5TotalCharges_5785.65TotalCharges_579TotalCharges_579.4TotalCharges_5791.1TotalCharges_5791.85TotalCharges_5794.45TotalCharges_5794.65TotalCharges_5798.3TotalCharges_58TotalCharges_58.15TotalCharges_58.3TotalCharges_58.85TotalCharges_58.9TotalCharges_580.1TotalCharges_580.8TotalCharges_5809.75TotalCharges_581.7TotalCharges_581.85TotalCharges_5810.9TotalCharges_5811.8TotalCharges_5812TotalCharges_5812.6TotalCharges_5815.15TotalCharges_5817TotalCharges_5817.45TotalCharges_5817.7TotalCharges_582.5TotalCharges_5822.3TotalCharges_5824.75TotalCharges_5825.5TotalCharges_5826.65TotalCharges_583TotalCharges_583.3TotalCharges_583.45TotalCharges_5831.2TotalCharges_5832TotalCharges_5832.65TotalCharges_5835.5TotalCharges_5839.3TotalCharges_5841.35TotalCharges_5844.65TotalCharges_5846.65TotalCharges_5848.6TotalCharges_585.95TotalCharges_586.05TotalCharges_5860.7TotalCharges_5861.75TotalCharges_5867TotalCharges_5869.4TotalCharges_587.1TotalCharges_587.4TotalCharges_587.45TotalCharges_587.7TotalCharges_5873.75TotalCharges_5878.9TotalCharges_5882.75TotalCharges_5883.85TotalCharges_5885.4TotalCharges_5886.85TotalCharges_589.25TotalCharges_5890TotalCharges_5893.15TotalCharges_5893.9TotalCharges_5893.95TotalCharges_5894.5TotalCharges_5895.45TotalCharges_5897.4TotalCharges_5898.6TotalCharges_5899.85TotalCharges_59.05TotalCharges_59.2TotalCharges_59.25TotalCharges_59.55TotalCharges_59.75TotalCharges_59.85TotalCharges_590.35TotalCharges_5903.15TotalCharges_5913.95TotalCharges_5914.4TotalCharges_5916.45TotalCharges_5916.95TotalCharges_5917.55TotalCharges_5918.8TotalCharges_5919.35TotalCharges_592.65TotalCharges_592.75TotalCharges_5921.35TotalCharges_5924.4TotalCharges_5925.75TotalCharges_593.05TotalCharges_593.2TotalCharges_593.3TotalCharges_593.45TotalCharges_593.75TotalCharges_593.85TotalCharges_5930.05TotalCharges_5931TotalCharges_5931.75TotalCharges_5935.1TotalCharges_5936.55TotalCharges_5940.85TotalCharges_5941.05TotalCharges_5943.65TotalCharges_5948.7TotalCharges_595.05TotalCharges_595.5TotalCharges_5950.2TotalCharges_5953TotalCharges_5956.85TotalCharges_5957.9TotalCharges_5958.85TotalCharges_5959.3TotalCharges_5960.5TotalCharges_5961.1TotalCharges_5963.95TotalCharges_5965.95TotalCharges_5968.4TotalCharges_5969.3TotalCharges_5969.85TotalCharges_5969.95TotalCharges_597TotalCharges_597.9TotalCharges_5971.25TotalCharges_5974.3TotalCharges_5976.9TotalCharges_5979.7TotalCharges_5980.55TotalCharges_5980.75TotalCharges_5981.65TotalCharges_5985TotalCharges_5985.75TotalCharges_5986.45TotalCharges_5986.55TotalCharges_599.25TotalCharges_599.3TotalCharges_5991.05TotalCharges_5997.1TotalCharges_5999.85TotalCharges_60TotalCharges_60.1TotalCharges_60.15TotalCharges_60.65TotalCharges_600TotalCharges_600.15TotalCharges_600.25TotalCharges_6000.1TotalCharges_6001.45TotalCharges_6004.85TotalCharges_601.25TotalCharges_601.55TotalCharges_601.6TotalCharges_6010.05TotalCharges_6014.85TotalCharges_6017.65TotalCharges_6017.9TotalCharges_6018.65TotalCharges_6019.35TotalCharges_602.55TotalCharges_602.9TotalCharges_6028.95TotalCharges_6029TotalCharges_6029.9TotalCharges_603TotalCharges_6033.1TotalCharges_6033.3TotalCharges_6034.85TotalCharges_6038.55TotalCharges_6039.9TotalCharges_604.7TotalCharges_6042.7TotalCharges_6045.9TotalCharges_6046.1TotalCharges_6049.5TotalCharges_605.25TotalCharges_605.45TotalCharges_605.75TotalCharges_605.9TotalCharges_6052.25TotalCharges_6055.55TotalCharges_6056.15TotalCharges_6056.9TotalCharges_6058.95TotalCharges_606.25TotalCharges_606.55TotalCharges_6065.3TotalCharges_6066.55TotalCharges_6067.4TotalCharges_6068.65TotalCharges_6069.25TotalCharges_607.3TotalCharges_607.7TotalCharges_6075.9TotalCharges_6077.75TotalCharges_6078.75TotalCharges_6079TotalCharges_608TotalCharges_608.15TotalCharges_608.5TotalCharges_608.8TotalCharges_6081.4TotalCharges_6083.1TotalCharges_609.05TotalCharges_609.1TotalCharges_609.65TotalCharges_609.9TotalCharges_6093.3TotalCharges_6094.25TotalCharges_6096.45TotalCharges_6096.9TotalCharges_61.05TotalCharges_61.15TotalCharges_61.35TotalCharges_61.45TotalCharges_61.7TotalCharges_610.2TotalCharges_610.75TotalCharges_6109.65TotalCharges_6109.75Tot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_8086.4TotalCharges_809.25TotalCharges_809.75TotalCharges_8093.15TotalCharges_81TotalCharges_81.05TotalCharges_81.1TotalCharges_81.25TotalCharges_81.7TotalCharges_81.95TotalCharges_810.2TotalCharges_810.3TotalCharges_810.45TotalCharges_810.7TotalCharges_810.85TotalCharges_8100.25TotalCharges_8100.55TotalCharges_8109.8TotalCharges_811.65TotalCharges_811.8TotalCharges_812.4TotalCharges_812.5TotalCharges_8124.2TotalCharges_8126.65TotalCharges_8127.6TotalCharges_8129.3TotalCharges_813.3TotalCharges_813.45TotalCharges_813.85TotalCharges_814.75TotalCharges_815.5TotalCharges_815.55TotalCharges_8152.3TotalCharges_816.8TotalCharges_8164.1TotalCharges_8165.1TotalCharges_8166.8TotalCharges_817.95TotalCharges_8175.9TotalCharges_818.05TotalCharges_818.45TotalCharges_8182.75TotalCharges_8182.85TotalCharges_819.4TotalCharges_819.55TotalCharges_819.95TotalCharges_8192.6TotalCharges_8196.4TotalCharges_82.15TotalCharges_82.3TotalCharges_82.7TotalCharges_82.85TotalCharges_82.9TotalCharges_820.5TotalCharges_821.6TotalCharges_8220.4TotalCharges_824.75TotalCharges_824.85TotalCharges_8240.85TotalCharges_8244.3TotalCharges_8248.5TotalCharges_825.1TotalCharges_825.4TotalCharges_825.7TotalCharges_8250TotalCharges_826TotalCharges_826.1TotalCharges_827.05TotalCharges_827.3TotalCharges_827.45TotalCharges_827.7TotalCharges_8277.05TotalCharges_828.05TotalCharges_828.2TotalCharges_828.85TotalCharges_8289.2TotalCharges_829.1TotalCharges_829.3TotalCharges_829.55TotalCharges_8297.5TotalCharges_83.3TotalCharges_83.4TotalCharges_83.75TotalCharges_830.25TotalCharges_830.7TotalCharges_830.8TotalCharges_830.85TotalCharges_8306.05TotalCharges_8308.9TotalCharges_8309.55TotalCharges_831.75TotalCharges_8310.55TotalCharges_8312.4TotalCharges_8312.75TotalCharges_8317.95TotalCharges_832.05TotalCharges_832.3TotalCharges_832.35TotalCharges_833.55TotalCharges_8331.95TotalCharges_8332.15TotalCharges_8333.95TotalCharges_8337.45TotalCharges_834.1TotalCharges_834.15TotalCharges_834.2TotalCharges_834.7TotalCharges_8349.45TotalCharges_8349.7TotalCharges_835.15TotalCharges_835.5TotalCharges_836.35TotalCharges_837.5TotalCharges_837.95TotalCharges_8375.05TotalCharges_838.5TotalCharges_838.7TotalCharges_839.4TotalCharges_839.65TotalCharges_8399.15TotalCharges_84.2TotalCharges_84.3TotalCharges_84.4TotalCharges_84.5TotalCharges_84.6TotalCharges_84.65TotalCharges_84.75TotalCharges_84.8TotalCharges_84.85TotalCharges_840.1TotalCharges_8404.9TotalCharges_8405TotalCharges_842.25TotalCharges_842.9TotalCharges_8424.9TotalCharges_8425.15TotalCharges_8425.3TotalCharges_8436.25TotalCharges_844.45TotalCharges_8443.7TotalCharges_845.25TotalCharges_845.6TotalCharges_8456.75TotalCharges_846TotalCharges_846.8TotalCharges_8468.2TotalCharges_847.25TotalCharges_847.3TotalCharges_847.8TotalCharges_8476.5TotalCharges_8477.6TotalCharges_8477.7TotalCharges_849.1TotalCharges_849.9TotalCharges_8496.7TotalCharges_85TotalCharges_85.05TotalCharges_85.1TotalCharges_85.15TotalCharges_85.45TotalCharges_85.5TotalCharges_85.55TotalCharges_85.7TotalCharges_85.8TotalCharges_851.2TotalCharges_851.75TotalCharges_851.8TotalCharges_852.7TotalCharges_8529.5TotalCharges_853TotalCharges_853.1TotalCharges_854.45TotalCharges_854.8TotalCharges_854.9TotalCharges_8543.25TotalCharges_8547.15TotalCharges_855.1TotalCharges_855.3TotalCharges_856.35TotalCharges_856.5TotalCharges_856.65TotalCharges_8564.75TotalCharges_857.2TotalCharges_857.25TotalCharges_857.75TotalCharges_857.8TotalCharges_858.6TotalCharges_8594.4TotalCharges_86TotalCharges_86.05TotalCharges_86.35TotalCharges_86.6TotalCharges_860.85TotalCharges_861.85TotalCharges_862.4TotalCharges_863.1TotalCharges_864.2TotalCharges_864.55TotalCharges_864.85TotalCharges_865TotalCharges_865.05TotalCharges_865.1TotalCharges_865.55TotalCharges_865.75TotalCharges_865.8TotalCharges_865.85TotalCharges_866.4TotalCharges_866.45TotalCharges_867.1TotalCharges_867.3TotalCharges_8670.1TotalCharges_8672.45TotalCharges_868.1TotalCharges_868.5TotalCharges_8684.8TotalCharges_869.9TotalCharges_87.3TotalCharges_87.9TotalCharges_870.25TotalCharges_871.4TotalCharges_872.65TotalCharges_873.4TotalCharges_874.2TotalCharges_874.8TotalCharges_875.35TotalCharges_875.55TotalCharges_876.15TotalCharges_876.75TotalCharges_877.35TotalCharges_878.35TotalCharges_879.8TotalCharges_88.35TotalCharges_88.8TotalCharges_880.05TotalCharges_880.2TotalCharges_882.55TotalCharges_883.35TotalCharges_886.4TotalCharges_886.7TotalCharges_887.35TotalCharges_888.65TotalCharges_888.75TotalCharges_889TotalCharges_889.9TotalCharges_89.05TotalCharges_89.1TotalCharges_89.15TotalCharges_89.25TotalCharges_89.3TotalCharges_89.35TotalCharges_89.5TotalCharges_89.55TotalCharges_89.75TotalCharges_89.9TotalCharges_890.35TotalCharges_890.5TotalCharges_890.6TotalCharges_892.15TotalCharges_892.65TotalCharges_892.7TotalCharges_893TotalCharges_893.2TotalCharges_893.55TotalCharges_894.3TotalCharges_896.75TotalCharges_896.9TotalCharges_897.75TotalCharges_898.35TotalCharges_899.45TotalCharges_899.8TotalCharges_90.05TotalCharges_90.1Total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    \n" + ], + "application/vnd.google.colaboratory.intrinsic+json": { + "type": "dataframe", + "summary": "{\n \"name\": \"df[num_cols]\",\n \"rows\": 7043,\n \"fields\": [\n {\n \"column\": \"SeniorCitizen\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0,\n \"min\": 0,\n \"max\": 1,\n \"num_unique_values\": 2,\n \"samples\": [\n 1,\n 0\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"tenure\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 24,\n \"min\": 0,\n \"max\": 72,\n \"num_unique_values\": 73,\n \"samples\": [\n 8,\n 40\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"MonthlyCharges\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 30.09004709767854,\n \"min\": 18.25,\n \"max\": 118.75,\n \"num_unique_values\": 1585,\n \"samples\": [\n 48.85,\n 20.05\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n }\n ]\n}" + } + }, + "metadata": {}, + "execution_count": 47 + } + ] + }, + { + "cell_type": "code", + "source": [ + "from sklearn.preprocessing import StandardScaler, MinMaxScaler, RobustScaler\n", + "df_ss = df.copy()\n", + "df_mm = df.copy()\n", + "df_rs = df.copy()\n", + "\n", + "scaler = StandardScaler()\n", + "df_ss[num_cols] = scaler.fit_transform(df_ss[num_cols])\n", + "\n", + "scaler = MinMaxScaler()\n", + "df_mm[num_cols] = scaler.fit_transform(df_mm[num_cols])\n", + "\n", + "scaler = RobustScaler()\n", + "df_rs[num_cols] = scaler.fit_transform(df_rs[num_cols])\n", + "\n", + "df_ss.head()" + ], + "metadata": { + "id": "7XCmq0DI_9-R", + "outputId": "db65105a-6aa9-4ac0-c48f-ff97fc28c13f", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 313 + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " customerID gender SeniorCitizen Partner Dependents tenure \\\n", + "0 7590-VHVEG Female -0.439916 Yes No -1.277445 \n", + "1 5575-GNVDE Male -0.439916 No No 0.066327 \n", + "2 3668-QPYBK Male -0.439916 No No -1.236724 \n", + "3 7795-CFOCW Male -0.439916 No No 0.514251 \n", + "4 9237-HQITU Female -0.439916 No No -1.236724 \n", + "\n", + " PhoneService MultipleLines InternetService OnlineSecurity OnlineBackup \\\n", + "0 No No phone service DSL No Yes \n", + "1 Yes No DSL Yes No \n", + "2 Yes No DSL Yes Yes \n", + "3 No No phone service DSL Yes No \n", + "4 Yes No Fiber optic No No \n", + "\n", + " DeviceProtection TechSupport StreamingTV StreamingMovies Contract \\\n", + "0 No No No No Month-to-month \n", + "1 Yes No No No One year \n", + "2 No No No No Month-to-month \n", + "3 Yes Yes No No One year \n", + "4 No No No No Month-to-month \n", + "\n", + " PaperlessBilling PaymentMethod MonthlyCharges TotalCharges \\\n", + "0 Yes Electronic check -1.160323 29.85 \n", + "1 No Mailed check -0.259629 1889.5 \n", + "2 Yes Mailed check -0.362660 108.15 \n", + "3 No Bank transfer (automatic) -0.746535 1840.75 \n", + "4 Yes Electronic check 0.197365 151.65 \n", + "\n", + " Churn \n", + "0 No \n", + "1 No \n", + "2 Yes \n", + "3 No \n", + "4 Yes " + ], + "text/html": [ + "\n", + "
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    customerIDgenderSeniorCitizenPartnerDependentstenurePhoneServiceMultipleLinesInternetServiceOnlineSecurityOnlineBackupDeviceProtectionTechSupportStreamingTVStreamingMoviesContractPaperlessBillingPaymentMethodMonthlyChargesTotalChargesChurn
    07590-VHVEGFemale-0.439916YesNo-1.277445NoNo phone serviceDSLNoYesNoNoNoNoMonth-to-monthYesElectronic check-1.16032329.85No
    15575-GNVDEMale-0.439916NoNo0.066327YesNoDSLYesNoYesNoNoNoOne yearNoMailed check-0.2596291889.5No
    23668-QPYBKMale-0.439916NoNo-1.236724YesNoDSLYesYesNoNoNoNoMonth-to-monthYesMailed check-0.362660108.15Yes
    37795-CFOCWMale-0.439916NoNo0.514251NoNo phone serviceDSLYesNoYesYesNoNoOne yearNoBank transfer (automatic)-0.7465351840.75No
    49237-HQITUFemale-0.439916NoNo-1.236724YesNoFiber opticNoNoNoNoNoNoMonth-to-monthYesElectronic check0.197365151.65Yes
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    \n" + ], + "application/vnd.google.colaboratory.intrinsic+json": { + "type": "dataframe", + "variable_name": "df_ss" + } + }, + "metadata": {}, + "execution_count": 49 + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## ✅ Step 6: Outlier Handling" + ], + "metadata": { + "id": "4N6xJiecAI2z" + } + }, + { + "cell_type": "code", + "source": [ + "# Example with Z-score\n", + "z_scores = np.abs((df[num_cols] - df[num_cols].mean()) / df[num_cols].std())\n", + "outliers = (z_scores > 3).any(axis=1)\n", + "print(\"Outliers detected:\", outliers.sum())\n", + "\n", + "print(df.shape)\n", + "# Option: remove\n", + "df = df[~outliers]\n", + "print(df.shape)\n" + ], + "metadata": { + "id": "FuERKhdpAHVU", + "outputId": "8e445c5e-c162-4392-f32d-cec16ac3a3da", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Outliers detected: 0\n", + "(7043, 21)\n", + "(7043, 21)\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# IQR method for outlier detection\n", + "Q1 = df[num_cols].quantile(0.25)\n", + "Q3 = df[num_cols].quantile(0.75)\n", + "IQR = Q3 - Q1\n", + "\n", + "outliers = ((df[num_cols] < (Q1 - 1.5 * IQR)) | (df[num_cols] > (Q3 + 1.5 * IQR))).any(axis=1)\n", + "print(\"Outliers detected:\", outliers.sum())\n", + "\n", + "print(df.shape)\n", + "# Option: remove outliers\n", + "df = df[~outliers]\n", + "print(df.shape)\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Xw4U9xilbk3h", + "outputId": "69533e54-94bf-46a0-e11b-5e26a777ec82" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Outliers detected: 1142\n", + "(7043, 21)\n", + "(5901, 21)\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## ✅ Step 7: Skewness Handling (Log / Power Transform)" + ], + "metadata": { + "id": "XWxkytPuAW_t" + } + }, + { + "cell_type": "code", + "source": [ + "from scipy.stats import skew, kurtosis, jarque_bera, boxcox\n", + "from sklearn.preprocessing import PowerTransformer\n", + "\n", + "x = df[\"TotalCharges\"].astype(float)\n", + "\n", + "# --- Metrics helper ---\n", + "def metrics(vec):\n", + " sk = skew(vec, nan_policy='omit')\n", + " ku = kurtosis(vec, fisher=True, nan_policy='omit') # 0 = normal\n", + " jb_stat, jb_p = jarque_bera(vec)\n", + " return sk, ku, jb_p\n", + "\n", + "# --- Transformations ---\n", + "x_log = np.log1p(x) # log(1+x)\n", + "x_sqrt = np.sqrt(x) # sqrt\n", + "x_bc, lam_bc = boxcox(x + 1e-6) # Box-Cox needs >0\n", + "pt = PowerTransformer(method=\"yeo-johnson\", standardize=False)\n", + "x_yj = pt.fit_transform(x.values.reshape(-1,1)).ravel()\n", + "\n", + "\n", + "# --- Report ---\n", + "rows = [\n", + " (\"Original\", *metrics(x)),\n", + " (\"Log1p\", *metrics(x_log)),\n", + " (\"Sqrt\", *metrics(x_sqrt)),\n", + " (f\"Box-Cox λ={lam_bc:.3f}\", *metrics(x_bc)),\n", + " (f\"Yeo–Johnson λ={pt.lambdas_[0]:.3f}\", *metrics(x_yj))\n", + "]\n", + "report = pd.DataFrame(rows, columns=[\"Transform\",\"Skewness\",\"Kurtosis\",\"JB-p\"])\n", + "\n", + "print(report)\n", + "\n", + "# --- Plots (2×3 grid) ---\n", + "fig, axes = plt.subplots(2, 3, figsize=(12, 7))\n", + "titles = [\"Original\",\"Log1p\",\"Sqrt\",f\"Box-Cox λ={lam_bc:.3f}\",f\"Yeo–Johnson λ={pt.lambdas_[0]:.3f}\"]\n", + "data = [x, x_log, x_sqrt, x_bc, x_yj]\n", + "\n", + "for ax, d, title in zip(axes.ravel(), data, titles):\n", + " ax.hist(d, bins=40, density=True, color=\"steelblue\", alpha=0.7)\n", + " ax.set_title(title)\n", + " ax.set_xlabel(\"Fare\"); ax.set_ylabel(\"Density\")\n", + "\n", + "fig.delaxes(axes[1,2]) # remove empty subplot\n", + "fig.tight_layout()\n", + "plt.show()\n" + ], + "metadata": { + "id": "mboMsY1bAVwM" + }, + "execution_count": null, + "outputs": [] + } + ], + "metadata": { + "colab": { + "provenance": [], + "toc_visible": true + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} \ No newline at end of file diff --git a/a0.1/NumPy, pandas & Matplotlib Essentials_SoroorParsafar.py b/a0.1/NumPy, pandas & Matplotlib Essentials_SoroorParsafar.py new file mode 100644 index 0000000..cf8d920 --- /dev/null +++ b/a0.1/NumPy, pandas & Matplotlib Essentials_SoroorParsafar.py @@ -0,0 +1,118 @@ +# -*- coding: utf-8 -*- +"""Copy of Assignment 02. Python Packages | Nexus | RezaShokrzad.ipynb + +Automatically generated by Colab. + +Original file is located at + https://colab.research.google.com/drive/1IGHRFntWvnMl5d_4Iaavjr4SVfFuK4Xw + +# 📚 Assignment 2 — NumPy, pandas & Matplotlib Essentials +

    📢⚠️📂

    + +

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    + +

    🚨📝🧠

    + + +------------------------------------------------ + + +Welcome to your first data-science sprint! In this three-part mini-project you’ll touch the libraries every ML practitioner leans on daily: + +1. NumPy — fast n-dimensional arrays + +2. pandas — tabular data wrangling + +3. Matplotlib — quick, customizable plots + +Each part starts with “Quick-start notes”, then gives you two bite-sized tasks. Replace every # TODO with working Python in a notebook or script, run it, and check your results. Happy hacking! 😊 + +## 1 · NumPy 🧮 +Quick-start notes +Core object: ndarray (n-dimensional array) + +Create data: np.array, np.arange, np.random.* + +Summaries: mean, std, sum, max, … + +Vectorised math beats Python loops for speed + +### Task 1 — Mock temperatures +""" + +# 👉 # TODO: import numpy and create an array of 365 +# normally-distributed °C values (µ=20, σ=5) called temps +import numpy as np +temps = np.random.normal(loc=20, scale=5, size=365) +print(temps[:5]) + +"""### Task 2 — Average temperature + +""" + +# 👉 # TODO: print the mean of temps +print(np.mean(temps)) + +"""## 2 · pandas 📊 +Quick-start notes +Main structures: DataFrame, Series + +Read data: pd.read_csv, pd.read_excel, … + +Selection: .loc[label], .iloc[pos] + +Group & summarise: .groupby(...).agg(...) + +### Task 3 — Load ride log +""" + +# 👉 # TODO: read "rides.csv" into df +# (columns: date,temp,rides,weekday) +import pandas as pd +file_name = "rides.csv" +df = pd.read_csv(file_name) + +# Create a dummy rides.csv file for demonstration purposes +data = {'date': pd.to_datetime(['2023-01-01', '2023-01-02', '2023-01-03', '2023-01-04', '2023-01-05']), + 'temp': [10, 12, 15, 13, 11], + 'rides': [50, 55, 60, 53, 51], + 'weekday': ['Sunday', 'Monday', 'Tuesday', 'Wednesday', 'Thursday']} +dummy_df = pd.DataFrame(data) +dummy_df.to_csv('rides.csv', index=False) + +"""### Task 4 — Weekday averages""" + +# 👉 # TODO: compute and print mean rides per weekday +df.groupby("weekday").agg({"rides": "mean"}) + +"""## 3 · Matplotlib 📈 +Quick-start notes +Workhorse: pyplot interface (import matplotlib.pyplot as plt) + +Figure & axes: fig, ax = plt.subplots() + +Common plots: plot, scatter, hist, imshow + +Display inline in Jupyter with %matplotlib inline or %matplotlib notebook + +### Task 5 — Scatter plot +""" + +# 👉 # TODO: scatter-plot temperature (x) vs rides (y) from df +import pandas as pd +import matplotlib.pyplot as plt +file_name = "rides.csv" +df = pd.read_csv(file_name) +plt.figure(figsize=(10, 6)) +plt.scatter(df['temp'], df['rides']) +plt.title('Rides vs. Temperature', fontsize=16) +plt.xlabel('Temperature (°C)', fontsize=12) +plt.ylabel('Rides', fontsize=12) + +"""### Task 6 — Show the figure + + +""" + +# 👉 # TODO: call plt.show() so the plot appears +plt.show() \ No newline at end of file diff --git a/a0.1/Project_01_01_02_sinads.ipynb b/a0.1/Project_01_01_02_sinads.ipynb new file mode 100644 index 0000000..b844f99 --- /dev/null +++ b/a0.1/Project_01_01_02_sinads.ipynb @@ -0,0 +1,482 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [], + "include_colab_link": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "markdown", + "source": [ + "# 🍷 Mini-Project: Merge & Explore the Wine Quality Datasets\n", + "\n", + "\n", + "> **Goal: Merge Wine Quality – Red and Wine Quality – White (UCI) into a single dataset, do a careful first-look exploration, and save the merged file to CSV.**\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    " + ], + "metadata": { + "id": "5pY7aLZSZQM9" + } + }, + { + "cell_type": "code", + "source": [ + "# === Requirements ===\n", + "# pip install pandas matplotlib\n", + "\n", + "import pandas as pd\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from pathlib import Path\n" + ], + "metadata": { + "id": "wpNpLMF8aX1s" + }, + "execution_count": 1, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# ---------- 1) Load ----------\n", + "URL_RED = \"https://archive.ics.uci.edu/ml/machine-learning-databases/wine-quality/winequality-red.csv\"\n", + "URL_WHITE = \"https://archive.ics.uci.edu/ml/machine-learning-databases/wine-quality/winequality-white.csv\"\n", + "\n", + "red = pd.read_csv(URL_RED, sep=\";\")\n", + "white = pd.read_csv(URL_WHITE, sep=\";\")\n" + ], + "metadata": { + "id": "ErqnxAGRaY_C" + }, + "execution_count": 2, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# ---------- 2) Sanity checks ----------\n", + "print(\"Red shape:\", red.shape, \"White shape:\", white.shape)\n", + "print(\"Columns equal? ->\", list(red.columns) == list(white.columns))\n", + "print(\"Columns:\", list(red.columns))\n" + ], + "metadata": { + "id": "lVbxevgpabbF", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "023a2f28-f928-45bc-c0dd-107176c4e84a" + }, + "execution_count": 3, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Red shape: (1599, 12) White shape: (4898, 12)\n", + "Columns equal? -> True\n", + "Columns: ['fixed acidity', 'volatile acidity', 'citric acid', 'residual sugar', 'chlorides', 'free sulfur dioxide', 'total sulfur dioxide', 'density', 'pH', 'sulphates', 'alcohol', 'quality']\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# (Optional) strict schema assertion (search and read about assert in Python)\n", + "assert list(red.columns) == list(white.columns), \"Column mismatch between red and white datasets.\"\n" + ], + "metadata": { + "id": "5vV73isEadfQ" + }, + "execution_count": 4, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# ---------- 3) Tag source & merge ----------\n", + "red[\"type\"] = \"red\"\n", + "white[\"type\"] = \"white\"\n", + "\n", + "df = pd.concat([red, white], ignore_index=True)\n", + "print(\"\\nMerged shape:\", df.shape)\n" + ], + "metadata": { + "id": "uVTeWORRakKq", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "f594a4d0-f077-437f-b3bc-740b87193ebc" + }, + "execution_count": 5, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Merged shape: (6497, 13)\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# ---------- 4) Basic exploration ----------\n", + "print(\"\\nDtypes:\\n\", df.dtypes)\n", + "print(\"\\nMissing values per column:\\n\", df.isna().sum().sort_values(ascending=False))\n", + "print(\"\\nHead:\\n\", df.head())\n" + ], + "metadata": { + "id": "OsMo1KOhambz", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "f9c74b5e-b786-4bd7-8e05-18f66296dd31" + }, + "execution_count": 6, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Dtypes:\n", + " fixed acidity float64\n", + "volatile acidity float64\n", + "citric acid float64\n", + "residual sugar float64\n", + "chlorides float64\n", + "free sulfur dioxide float64\n", + "total sulfur dioxide float64\n", + "density float64\n", + "pH float64\n", + "sulphates float64\n", + "alcohol float64\n", + "quality int64\n", + "type object\n", + "dtype: object\n", + "\n", + "Missing values per column:\n", + " fixed acidity 0\n", + "volatile acidity 0\n", + "citric acid 0\n", + "residual sugar 0\n", + "chlorides 0\n", + "free sulfur dioxide 0\n", + "total sulfur dioxide 0\n", + "density 0\n", + "pH 0\n", + "sulphates 0\n", + "alcohol 0\n", + "quality 0\n", + "type 0\n", + "dtype: int64\n", + "\n", + "Head:\n", + " fixed acidity volatile acidity citric acid residual sugar chlorides \\\n", + "0 7.4 0.70 0.00 1.9 0.076 \n", + "1 7.8 0.88 0.00 2.6 0.098 \n", + "2 7.8 0.76 0.04 2.3 0.092 \n", + "3 11.2 0.28 0.56 1.9 0.075 \n", + "4 7.4 0.70 0.00 1.9 0.076 \n", + "\n", + " free sulfur dioxide total sulfur dioxide density pH sulphates \\\n", + "0 11.0 34.0 0.9978 3.51 0.56 \n", + "1 25.0 67.0 0.9968 3.20 0.68 \n", + "2 15.0 54.0 0.9970 3.26 0.65 \n", + "3 17.0 60.0 0.9980 3.16 0.58 \n", + "4 11.0 34.0 0.9978 3.51 0.56 \n", + "\n", + " alcohol quality type \n", + "0 9.4 5 red \n", + "1 9.8 5 red \n", + "2 9.8 5 red \n", + "3 9.8 6 red \n", + "4 9.4 5 red \n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Uniqueness & duplicates\n", + "dup_count = df.duplicated().sum()\n", + "print(\"\\nDuplicate rows:\", dup_count)\n", + "\n", + "# Descriptive statistics (numeric)\n", + "num_cols = df.select_dtypes(include=[np.number]).columns\n", + "print(\"\\nNumeric summary:\\n\", df[num_cols].describe().T)\n", + "\n", + "# Target distributions\n", + "print(\"\\nQuality distribution (overall):\\n\", df[\"quality\"].value_counts().sort_index())\n", + "print(\"\\nQuality distribution by type:\\n\", df.groupby(\"type\")[\"quality\"].value_counts().sort_index())\n" + ], + "metadata": { + "id": "ou0kWts-aopS", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "2ec36df8-b98e-4b64-8d56-e062e84c6597" + }, + "execution_count": 7, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Duplicate rows: 1177\n", + "\n", + "Numeric summary:\n", + " count mean std min 25% \\\n", + "fixed acidity 6497.0 7.215307 1.296434 3.80000 6.40000 \n", + "volatile acidity 6497.0 0.339666 0.164636 0.08000 0.23000 \n", + "citric acid 6497.0 0.318633 0.145318 0.00000 0.25000 \n", + "residual sugar 6497.0 5.443235 4.757804 0.60000 1.80000 \n", + "chlorides 6497.0 0.056034 0.035034 0.00900 0.03800 \n", + "free sulfur dioxide 6497.0 30.525319 17.749400 1.00000 17.00000 \n", + "total sulfur dioxide 6497.0 115.744574 56.521855 6.00000 77.00000 \n", + "density 6497.0 0.994697 0.002999 0.98711 0.99234 \n", + "pH 6497.0 3.218501 0.160787 2.72000 3.11000 \n", + "sulphates 6497.0 0.531268 0.148806 0.22000 0.43000 \n", + "alcohol 6497.0 10.491801 1.192712 8.00000 9.50000 \n", + "quality 6497.0 5.818378 0.873255 3.00000 5.00000 \n", + "\n", + " 50% 75% max \n", + "fixed acidity 7.00000 7.70000 15.90000 \n", + "volatile acidity 0.29000 0.40000 1.58000 \n", + "citric acid 0.31000 0.39000 1.66000 \n", + "residual sugar 3.00000 8.10000 65.80000 \n", + "chlorides 0.04700 0.06500 0.61100 \n", + "free sulfur dioxide 29.00000 41.00000 289.00000 \n", + "total sulfur dioxide 118.00000 156.00000 440.00000 \n", + "density 0.99489 0.99699 1.03898 \n", + "pH 3.21000 3.32000 4.01000 \n", + "sulphates 0.51000 0.60000 2.00000 \n", + "alcohol 10.30000 11.30000 14.90000 \n", + "quality 6.00000 6.00000 9.00000 \n", + "\n", + "Quality distribution (overall):\n", + " quality\n", + "3 30\n", + "4 216\n", + "5 2138\n", + "6 2836\n", + "7 1079\n", + "8 193\n", + "9 5\n", + "Name: count, dtype: int64\n", + "\n", + "Quality distribution by type:\n", + " type quality\n", + "red 3 10\n", + " 4 53\n", + " 5 681\n", + " 6 638\n", + " 7 199\n", + " 8 18\n", + "white 3 20\n", + " 4 163\n", + " 5 1457\n", + " 6 2198\n", + " 7 880\n", + " 8 175\n", + " 9 5\n", + "Name: count, dtype: int64\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# ---------- 5) A few simple visuals (optional for report) ----------\n", + "# Histograms of numeric features (quick feel for ranges & skew)\n", + "top_vars = df.select_dtypes(include=[np.number]).columns[:4]\n", + "\n", + "n = min(4, len(top_vars))\n", + "\n", + "fig, axes = plt.subplots(1, 4, figsize=(16, 3), sharey=True)\n", + "\n", + "for i, ax in enumerate(axes):\n", + " if i < n:\n", + " col = top_vars[i]\n", + " ax.hist(df[col].dropna(), bins=30)\n", + " ax.set_title(f\"Histogram: {col}\")\n", + " ax.set_xlabel(col)\n", + " if i == 0:\n", + " ax.set_ylabel(\"Count\")\n", + " else:\n", + " ax.set_ylabel(\"\")\n", + " else:\n", + " ax.axis(\"off\") # hide unused panels if top_vars has < 4\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ], + "metadata": { + "id": "2Pa_iCVzaqzp", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 252 + }, + "outputId": "e90098fd-3af9-4847-959e-0cb8dc8d5bec" + }, + "execution_count": 8, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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p2LGjMcaYixcvGldXV7Nw4ULL/DNnzhgPDw+r/URp1U9vb28zd+7cdGPP6veIZB06dDB9+vRJc15a26Rdu3YZSSYuLs4YY0zXrl1N+/btrR7Xo0ePNPfz3K5mzZrmvffes9wPDg42nTp1yvAxQEY4UgOwoU8//VR79uzRL7/8osjISDk4OEiSdu/erUuXLqlEiRLy9PS03OLi4nTkyBFJ0sGDB9WoUSOr5YWEhGT6nDNnzlT9+vXl5+cnT09PzZkzx9ItP336tE6cOKFWrVplKf6DBw+qdu3acnd3z1YMaXnmmWf01Vdf6dq1a7px44bmz59vdWoXALCVHj166JtvvtH169clSfPmzVO3bt3k6Pjfx6iDBw/qwQcftHrMgw8+qIMHD6a7zK+//loPPvigAgMD5enpqddffz3VL5eya/fu3dqwYYPVdqNatWqSZNl2pJSYmKjx48erVq1a8vX1laenp1avXm2J5eDBg7p+/Xq2tgs52TalpX///pZD4U+dOqWVK1eyXQCQ72W3bmakfv36Gc6PjY1VvXr1snXtvsy2P7Gxsdmq+WXKlFFQUJBlWk5rPgDYWsqam9ln6zp16qhVq1aqVauWnnzySX300Uc6d+5cmss+cuSIbty4YfU52dfXV1WrVs12nLn9HvHcc89pwYIFqlu3roYPH67Nmzdn6/kPHTqU6gi+lPcvXbqkV155RdWrV5ePj488PT118ODBVHE2aNAgW88N3I4LhQM2tHv3bl2+fFmOjo46efKkSpUqJem/DUCpUqUUHR2d6jG3n6cwuxYsWKBXXnlF77zzjkJCQlSsWDG9/fbblvPu2vLCrR06dJCbm5uWLl0qV1dX3bx5U0888YTN4gGAZB06dJAxRsuXL9f999+vn376KVuHeKe0ZcsW9ejRQ2PHjlVoaKi8vb21YMGCNM+rmx2XLl1Shw4dNGnSpFTzkrcvKb399tuaMWOGpk+frlq1aqlo0aIaOnSobty4Icm224VevXppxIgR2rJlizZv3qzy5curSZMmNosHALIiL+tm0aJF8/S5srL9sWXdBwBbSllzM/ts7eTkpKioKG3evFlr1qzRe++9p9dee03btm1T+fLlcxSDg4NDqtNX3X69jLz4HtGuXTsdO3ZMK1asUFRUlFq1aqXw8HBNmTLF8qOt22PIzvU6kr3yyiuKiorSlClTVKlSJXl4eOiJJ56wfMdIltl2DsgIR2oANnL27Fn17t1br732mnr37q0ePXro6tWrkqT77rtP8fHxcnZ2VqVKlaxuyec6rF69eqqLAG7dujXD59y0aZMaN26s559/XvXq1VOlSpWsfr1brFgxlStXTuvWrctSDtWrV9eePXusLlCeWQyurq5KTExMNd3Z2VlhYWGaO3eu5s6dq27duvGlCkC+4O7urs6dO2vevHn66quvVLVqVd13332W+dWrV9emTZusHrNp0ybLNZJS2rx5s4KDg/Xaa6+pQYMGqly5so4dO2Y1Jr1amZH77rtP+/fvV7ly5VJtO9L7wrBp0yZ17NhRTz/9tOrUqaMKFSrot99+s8yvXLmyPDw8srVduP16HFLOtwslSpRQp06dNHfuXEVGRnKNJQB2Ibt109XVVZKyXfMlqXbt2oqNjbVccy8zWdn+1K5dO1s1/88//7S6/lFmNR8A7EVWPls7ODjowQcf1NixY7Vr1y65urpq6dKlqZZVsWJFubi4WO3DOXfunNXnbkny8/OzqqmHDx/WlStXLPezUsezws/PT2FhYfryyy81ffp0zZkzxzJdklUMsbGxVo+tWrVqqmvHpry/adMm9e7dW48//rhq1aqlwMBAqwuNA3mBpgZgIwMHDlSZMmX0+uuva+rUqUpMTLRcZLt169YKCQlRp06dtGbNGh09elSbN2/Wa6+9pp07d0qShgwZok8//VRz587Vb7/9pjFjxmj//v0ZPmflypW1c+dOrV69Wr/99ptGjRqVauMTERGhd955R++++64OHz6sX375Re+9916ay/vf//4nBwcHPfPMMzpw4IBWrFihKVOmZBhDuXLldOnSJa1bt07//vuv1Qa6f//+Wr9+vVatWsUpRgDkKz169NDy5cv16aefWi4QnmzYsGGKjIzUrFmzdPjwYU2dOlVLliyx1PSUKleurOPHj2vBggU6cuSI3n333VRffsqVK6e4uDjFxsbq33//tZz6KiPh4eE6e/asunfvrh07dujIkSNavXq1+vTpk+7OssqVK1t+YXbw4EE9++yzOnXqlGW+u7u7Xn31VQ0fPlyff/65jhw5oq1bt+qTTz5Jc3kDBw7U4cOHNWzYMB06dEjz589XZGRkhnFnlGv//v312Wef6eDBgwoLC8t0HQCArWW3bgYHB8vBwUHLli3TP//8o0uXLmX5ubp3767AwEB16tRJmzZt0h9//KFvvvlGW7ZsSXN8VrY/Y8aM0VdffaUxY8bo4MGD2rt3b5q/Upb++85SpUoVhYWFaffu3frpp5/02muvZTl+AMjPMvtsvW3bNr311lvauXOnjh8/riVLluiff/5R9erVUy3L09NT/fr107Bhw7R+/Xrt27dPvXv3thwZkaxly5Z6//33tWvXLu3cuVMDBw6Ui4uLZX5W6nhmRo8ere+++06///679u/fr2XLlllirlSpksqUKaOIiAgdPnxYy5cvT3UUyODBg7VixQpNnTpVhw8f1ocffqiVK1daTqeeHOeSJUsUGxur3bt363//+5+SkpKyFSeQKRtf0wMokDK7UPhnn31mihYtan777TfL/G3bthkXFxezYsUKY8x/FxkcPHiwCQoKMi4uLqZMmTKmR48e5vjx45bHvPnmm6ZkyZLG09PThIWFmeHDh2d4Qahr166Z3r17G29vb+Pj42Oee+45M2LEiFSPmT17tqlatapxcXExpUqVMoMHD7bMU4oLV23ZssXUqVPHuLq6mrp165pvvvkm04sfDhw40JQoUcJIMmPGjLF67iZNmpiaNWummwMA2EJiYqIpVaqUkWSOHDmSav4HH3xgKlSoYFxcXEyVKlXM559/bjU/Ze0cNmyYKVGihPH09DRdu3Y106ZNs7q43rVr10yXLl2Mj4+PkWS5OKAyuFC4Mcb89ttv5vHHHzc+Pj7Gw8PDVKtWzQwdOtQkJSWlmdeZM2dMx44djaenp/H39zevv/666dWrl+Wihsm5v/HGGyY4ONi4uLiYsmXLmrfeeivdGH744QdTqVIl4+bmZpo0aWI+/fTTDC8Unl6uxhiTlJRkgoODrS66DgD5XXbr5rhx40xgYKBxcHAwYWFhxhjr7w63S7k9OXr0qOnSpYvx8vIyRYoUMQ0aNDDbtm1LN7bMtj/GGPPNN9+YunXrGldXV1OyZEnTuXNny7zbLxRujDGHDh0yDz30kHF1dTVVqlQxq1at4kLhAOxOejU3o8/WBw4cMKGhocbPz8+4ubmZKlWqWF0I+/YLhRvz38XCn376aVOkSBETEBBgJk+enOp5//77b9OmTRtTtGhRU7lyZbNixYpUFwrPrI5ndqHw8ePHm+rVqxsPDw/j6+trOnbsaP744w/L/J9//tnUqlXLuLu7myZNmphFixZZXSjcGGPmzJlj7rnnHuPh4WE6depk3njjDRMYGGiZHxcXZ1q0aGE8PDxMmTJlzPvvv58q15TbEyC7HIxJcbI2ALARY4wqV66s559/Xi+99JKtwwEA2NilS5d0zz33aO7cuercubOtwwEAAACQwjPPPKNff/1VP/30k61DQSHChcIB5Av//POPFixYoPj4eM6bDgCFXFJSkv7991+988478vHx0WOPPWbrkAAAAABImjJlih5++GEVLVpUK1eu1GeffaYPPvjA1mGhkKGpASBf8Pf3V8mSJTVnzhwVL17c1uEAAGzo+PHjKl++vEqXLq3IyEg5O/ORFQAAAMgPtm/frsmTJ+vixYuqUKGC3n33XfXv39/WYaGQ4fRTAAAAAAAAAADALjjaOgAAAAAAAAAAAICsoKkBAAAAAAAAAADsAk0NAAAAAAAAAABgF2hqAAAAAAAAAAAAu0BTAwAAAAAAAAAA2AWaGgAAAAAAAAAAwC7Q1AAAAAAAAAAAAHaBpgYAAAAAAAAAALALNDUAAAAAAAAAAIBd+P8AmT7LmuQ0fJwAAAAASUVORK5CYII=\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Boxplot of quality by type (class distribution spread)\n", + "plt.figure()\n", + "df.boxplot(column=\"quality\", by=\"type\")\n", + "plt.suptitle(\"\")\n", + "plt.title(\"Quality by Wine Type\")\n", + "plt.xlabel(\"Type\")\n", + "plt.ylabel(\"Quality\")\n", + "plt.tight_layout()\n", + "plt.show()\n" + ], + "metadata": { + "id": "w9z9f2OMatLD", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 490 + }, + "outputId": "298885f6-a64e-4c78-aa8b-d20d6ea84a3c" + }, + "execution_count": 9, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ] + }, + "metadata": {} + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Correlation heatmap (numeric only)\n", + "corr = df[num_cols].corr()\n", + "plt.figure(figsize=(7, 6))\n", + "plt.imshow(corr, interpolation=\"nearest\")\n", + "plt.title(\"Correlation Heatmap\")\n", + "plt.colorbar()\n", + "plt.xticks(range(len(num_cols)), num_cols, rotation=90)\n", + "plt.yticks(range(len(num_cols)), num_cols)\n", + "plt.tight_layout()\n", + "plt.show()\n" + ], + "metadata": { + "id": "m9OZ2n2nawIP", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 623 + }, + "outputId": "1e7ac8a8-3ac2-4fc8-f2d9-d647d954ff33" + }, + "execution_count": 10, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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WIxXqeqYgLS1NbeMLTbWKSoXJKBERVUqcEkG6QGEug8JcM+vuqvCiHgsLixJ3YSsva2vrAsvy3bp1CxYWFlppFQW4zigRERER/T8vLy8cPHhQ7dyBAwdK3MTkdTAZJSIiItISpaDS6FFW2dnZSEhIQEJCAoAXO8klJCQgNTUVADB79mwMHTpULD927Fhcv34dM2bMwOXLl7Fq1Sps3boVU6ZM0cjnURh205PGqVQq/PPPPzA3N9faloBERERlJQgCHj16BFtbW+jpVUx7nAoCVNDMkJHy1HPq1Cm1DUSmTp0KABg2bBiio6ORnp4uJqYAUK9ePezZswdTpkxBZGQkateujf/+97/w8/N7/QcoAtcZJY3766+/YGdnJ3UYREREhUpLS0Pt2rW1eo+srCxYWloi40odjU5gsm6QiszMTK2NGZUCW0ZJ48zNzQEAN8/Yw0Ih/UgQt73+UoegxsBcs2vOvQ7FUe0MRi+PrFbPpA5Bje12Q6lDEOnnlr1rTltyxz+QOgQ1suhqUocgynhfd763zU/qzvc2AAjS/yoAAChzn+FK1ELx91RFUEEFTX0Ha64m3cJklDQuv2veQqGnsb8GX4eeibHUIajRM5X+M8mnb6Q7n42eqdQRqDMw1KFkVKU7v4BUZrq1hIzMUJf+D/N7uyiCvtQRqOMQMt3CZJSIiIhIS5SCAKWGRkRqqh5dw2SUiIiISEuknsD0JtCdPgUiIiIieuuwZZSIiIhIS1QQoGTLaLHYMkpEREREkmHLKBEREZGWcMxoyZiMEhEREWkJZ9OXjN30RERERCQZtowSERERaYnq/w9N1VUZVfqWUUEQMHr0aFStWhUymQwJCQlo3749Jk+erNX7BgcHw8PDQ6v3kMlk2LFjR5Hvp6SkiM8MALGxsZDJZHj48KFW4yIiIiIqrUrfMhoTE4Po6GjExsbCwcEB1apVw7Zt22CoQ1v9lVd6ejqqVKlS6vLe3t5IT0+HpaUlACA6OhqTJ09mckpERKQlSg0u7aSpenRNpU9Gk5OTYWNjA29vb/Fc1apVJYxIc6ytrctU3sjIqMzXEBEREWlTpe6m9/f3x4QJE5CamgqZTAZ7e3sAUOumv3z5MkxNTbFp0ybxuq1bt8LExASXLl0CADx8+BAjR45E9erVYWFhgY4dO+LcuXNq9/r8889Rs2ZNmJubIyAgAM+ePSs2NqVSiYCAANSrVw8mJiZo0KABIiMjC5TbsGEDGjVqBLlcDhsbGwQGBorvvdpNf+LECTRt2hTGxsZo3rw5zp49q1bXy930sbGxGD58ODIzMyGTySCTyRAcHIyFCxeicePGBeLw8PDAvHnzin0mIiIiUqcUNHtURpU6GY2MjMTChQtRu3ZtpKen4+TJkwXKNGzYEGFhYRg3bhxSU1Px119/YezYsViyZAlcXV0BAP369cPt27fxyy+/4PTp02jWrBk6deqE+/fvA3iRvAYHB2Px4sU4deoUbGxssGrVqmJjU6lUqF27Nn744QdcunQJ8+fPxyeffIKtW7eKZVavXo3x48dj9OjROH/+PHbt2oX69esXWl92djbef/99uLq64vTp0wgODkZQUFCR9/f29kZERAQsLCyQnp6O9PR0BAUFYcSIEUhMTFT7rM6ePYs///wTw4cPL/aZiIiISJ1Kw0dlVKm76S0tLWFubg59ff1iu6fHjRuHvXv34qOPPoKRkRFatGiBCRMmAAD++OMPnDhxArdv34ZcLgcAhIWFYceOHfjxxx8xevRoREREICAgAAEBAQCATz/9FL/++muxraOGhoYICQkRX9erVw/x8fHYunUr+vfvL9Yzbdo0TJo0SSzXokWLQuvbtGkTVCoV1q9fD2NjYzRq1Ah//fUXPv7440LLGxkZwdLSEjKZTO2zUSgU8PPzQ1RUlHivqKgotGvXDg4ODoXWlZOTg5ycHPF1VlZWkc9NRERE9LJK3TJaFhs2bMCff/6JM2fOIDo6GjKZDABw7tw5ZGdn45133oFCoRCPGzduIDk5GQCQmJiIVq1aqdXn5eVV4j2/+uoreHp6onr16lAoFFi7di1SU1MBALdv38Y///yDTp06lSr+xMRENGnSBMbGxmWKoTCjRo3C999/j2fPniE3NxebNm3CiBEjiiwfGhoKS0tL8bCzsyvXfYmIiCobFWRQauhQQSb142hFpW4ZLYtz587h8ePH0NPTQ3p6OmxsbAC86P62sbFBbGxsgWusrKzKfb/NmzcjKCgIy5Ytg5eXF8zNzbF06VIcP34cAGBiYlLuul9Xjx49IJfLsX37dhgZGSEvLw//+c9/iiw/e/ZsTJ06VXydlZXFhJSIiIhKhckogPv378Pf3x9z5sxBeno6Bg8ejDNnzsDExATNmjVDRkYGDAwMxAlQr3JxccHx48cxdOhQ8dyxY8eKvWdcXBy8vb0xbtw48Vx+SysAmJubw97eHgcPHkSHDh1KfAYXFxd8++23ePbsmdg6WlIMRkZGUCqVBc4bGBhg2LBhiIqKgpGREQYOHFhsciyXy8UhDERERPQvlfDi0FRdlRG76QGMHTsWdnZ2mDt3LsLDw6FUKsXJP76+vvDy8kLv3r2xf/9+pKSk4OjRo5gzZw5OnToFAJg0aRI2bNiAqKgoXL16FQsWLMDFixeLvaeTkxNOnTqFffv24erVq5g3b16BCVbBwcFYtmwZVqxYgaSkJJw5cwYrV64stL4PP/wQMpkMo0aNwqVLl7B3716EhYUVG4O9vT2ys7Nx8OBB3L17F0+ePBHfGzlyJA4dOoSYmJhiu+iJiIioaJrqos8/KqO3Phn95ptvsHfvXnz77bcwMDCAmZkZvvvuO6xbtw6//PILZDIZ9u7di7Zt22L48OFwdnbGwIEDcfPmTdSsWRMAMGDAAMybNw8zZsyAp6cnbt68WeTEoXxjxoxBnz59MGDAALRq1Qr37t1TayUFgGHDhiEiIgKrVq1Co0aN8P777yMpKanQ+hQKBX7++WecP38eTZs2xZw5c7BkyZJiY/D29sbYsWMxYMAAVK9eHV988YX4npOTE7y9vdGwYcMC42GJiIiINEUmCEIlbfSl1yEIApycnDBu3Di18aClkZWVBUtLSzy46gALc+n/3qm3a7TUIagxsMiVOgSR+W/SjU1+VaZP8WvzVrTaW3Vnlzb9HN1Z0CV36n2pQ1AjW1td6hBE/3ygO9/bFvG6870NAIK+1BG8oMx5hktff4LMzExYWFho9V75vwuPXrSBQkO/C7MfqeDdKL1C4q9IHDNKBdy5cwebN29GRkYG1xYlIiIirWIySgXUqFED1apVw9q1a1GlShWpwyEiInpjqQQZVIJmxnpqqh5dw2SUCuDIDSIiIs3Q5MQjTmAiIiIiItIwtowSERERaYkSelBqqO2v4MrglQNbRomIiIhIMmwZJSIiItISQYMTmIRKOoGJLaNEREREJBm2jBIRERFpCWfTl4zJKBEREZGWKAU9KAUNTWCqpCsvspueiIiIiCTDllHSGre9/tAzMZY6DNzouVbqENS8199f6hBEj+rqzp/ZJma6s683ABhm6053mP7jPKlDEN1I17Fd2brr0GI3jw2ljkCk1K2t6WGV/FzqEAAAz/MqPg4VZFBpqO1PBd35ma1JbBklIiIiIsmwZZSIiIhISziBqWRMRomIiIi0RLMTmNhNT0RERESkUWwZJSIiItKSFxOYNNO9rql6dA1bRomIiIhIMkxGiYiIiLREBT0oNXSUd4mor776Cvb29jA2NkarVq1w4sSJYstHRESgQYMGMDExgZ2dHaZMmYJnz56V696lwW56IiIiIi2RegLTli1bMHXqVKxZswatWrVCREQE/Pz8cOXKFdSoUaNA+U2bNmHWrFnYsGEDvL29cfXqVfj7+0MmkyE8PFwTj1EAW0aJiIiIKqnw8HCMGjUKw4cPh6urK9asWQNTU1Ns2LCh0PJHjx6Fj48PPvzwQ9jb26Nz584YNGhQia2pr4PJKBEREZGWqP6/e11TBwBkZWWpHTk5OYXeOzc3F6dPn4avr694Tk9PD76+voiPjy/0Gm9vb5w+fVpMPq9fv469e/eiW7duGv5k/sVklIiIiOgNYmdnB0tLS/EIDQ0ttNzdu3ehVCpRs2ZNtfM1a9ZERkZGodd8+OGHWLhwIVq3bg1DQ0M4Ojqiffv2+OSTTzT+HPk4ZpSIiIhIS5SCDEpBQzsw/X89aWlpsLCwEM/L5XKN1A8AsbGxWLx4MVatWoVWrVrh2rVrmDRpEhYtWoR58+Zp7D4vq/QtozKZDDt27NBoPSkpKZDJZEhISHjtesurNDHExsZCJpPh4cOHAIDo6GhYWVlVSHxERESkHRYWFmpHUclotWrVoK+vj1u3bqmdv3XrFqytrQu9Zt68eRgyZAhGjhwJNzc3fPDBB1i8eDFCQ0OhUqk0/izAW5CMllVwcDA8PDwKnE9PT0fXrl0rPqAi2NnZIT09HY0bNy71NQMGDMDVq1fF10U9KxEREWmGppZ1yj/KwsjICJ6enjh48KB4TqVS4eDBg/Dy8ir0midPnkBPT/0++vr6AABBS9uRspu+lIr6C0Iq+vr6ZY7JxMQEJiYmWoqIiIiIXqUS9KDS0NJOqnIkg1OnTsWwYcPQvHlztGzZEhEREXj8+DGGDx8OABg6dChq1aoljjvt0aMHwsPD0bRpU7Gbft68eejRo4eYlGqazraMrl27Fra2tgWahHv16oURI0aIr1evXg1HR0cYGRmhQYMG+Pbbb4utd+bMmXB2doapqSkcHBwwb9485OXlAXjRjR0SEoJz585BJpNBJpMhOjoaQMnd/RcuXEDXrl2hUChQs2ZNDBkyBHfv3i2y/L179zBo0CDUqlULpqamcHNzw/fff69WRqVS4YsvvkD9+vUhl8tRp04dfPbZZwAK76bfu3cvnJ2dYWJigg4dOiAlJUWtvpe76Yt61hEjRuD9999Xuy4vLw81atTA+vXri/lkiYiISNcMGDAAYWFhmD9/Pjw8PJCQkICYmBhxUlNqairS09PF8nPnzsW0adMwd+5cuLq6IiAgAH5+fvj666+1FqPOtoz269cPEyZMwOHDh9GpUycAwP379xETE4O9e/cCALZv345JkyYhIiICvr6+2L17N4YPH47atWujQ4cOhdZrbm6O6Oho2Nra4vz58xg1ahTMzc0xY8YMDBgwABcuXEBMTAx+/fVXAIClpWWJsT58+BAdO3bEyJEjsXz5cjx9+hQzZ85E//79cejQoUKvefbsGTw9PTFz5kxYWFhgz549GDJkCBwdHdGyZUsAwOzZs7Fu3TosX74crVu3Rnp6Oi5fvlxofWlpaejTpw/Gjx+P0aNH49SpU5g2bVqRMRf1rM7Ozmjbti3S09NhY2MDANi9ezeePHmCAQMGFFpXTk6O2rISWVlZJX5mREREb4PydK8XXVf5uskDAwMRGBhY6HuxsbFqrw0MDLBgwQIsWLCgXPcqD51NRqtUqYKuXbti06ZNYjL6448/olq1amKiGRYWBn9/f4wbNw7Ai6boY8eOISwsrMhkdO7cueK/7e3tERQUhM2bN2PGjBkwMTGBQqGAgYFBmbrAv/zySzRt2hSLFy8Wz23YsAF2dna4evUqnJ2dC1xTq1YtBAUFia8nTJiAffv2YevWrWjZsiUePXqEyMhIfPnllxg2bBgAwNHREa1bty40hvwW4mXLlgEAGjRogPPnz2PJkiWFli/qWb29vcUW5hkzZgAAoqKi0K9fPygUikLrCg0NRUhISHEfEREREVGhdLabHgAGDx6Mn376SWx1+9///oeBAweKA2sTExPh4+Ojdo2Pjw8SExOLrHPLli3w8fGBtbU1FAoF5s6di9TU1NeK89y5czh8+DAUCoV4NGzYEACQnJxc6DVKpRKLFi2Cm5sbqlatCoVCgX379omxJCYmIicnR0zES5KYmIhWrVqpnStqcHJJRo4ciaioKAAvZtz98ssvakMjXjV79mxkZmaKR1paWrnuS0REVNmo8O/yTq97aGcuu/R0tmUUeDGIVhAE7NmzBy1atMDvv/+O5cuXl7u++Ph4DB48GCEhIfDz84OlpSU2b94stiaWV3Z2Nnr06FFoK2R+V/erli5disjISERERMDNzQ1mZmaYPHkycnNzAUDSiUZDhw7FrFmzEB8fj6NHj6JevXpo06ZNkeXlcrlG1zgjIiKqLF7eOUkTdVVGOp2MGhsbo0+fPvjf//6Ha9euoUGDBmjWrJn4vouLC+Li4sRubACIi4uDq6trofUdPXoUdevWxZw5c8RzN2/eVCtjZGQEpVJZpjibNWuGn376Cfb29jAwKN1HGhcXh169euGjjz4C8GKy0tWrV8XYnZycYGJigoMHD2LkyJEl1ufi4oJdu3apnTt27Fix1xT1rO+88w569+6NqKgoxMfHizPuiIiIiDRN51PswYMHY8+ePdiwYQMGDx6s9t706dMRHR2N1atXIykpCeHh4di2bZvaWMyXOTk5ITU1FZs3b0ZycjJWrFiB7du3q5Wxt7fHjRs3kJCQgLt37xa53+vLxo8fj/v372PQoEE4efIkkpOTsW/fPgwfPrzIxNbJyQkHDhzA0aNHkZiYiDFjxqgtSmtsbIyZM2dixowZ+Oabb5CcnIxjx44VOaN97NixSEpKwvTp03HlyhVs2rRJXAmgKMU968iRI7Fx40YkJiaqJftERERUekpBT6NHZaTzT9WxY0dUrVoVV65cwYcffqj2Xu/evREZGYmwsDA0atQIX3/9NaKiotC+fftC6+rZsyemTJmCwMBAeHh44OjRowW2turbty+6dOmCDh06oHr16gWWWyqMra0t4uLioFQq0blzZ7i5uWHy5MmwsrIqsHBsvrlz56JZs2bw8/ND+/btYW1tjd69e6uVmTdvHqZNm4b58+fDxcUFAwYMwO3btwutr06dOvjpp5+wY8cOuLu7Y82aNWoTqgpT3LP6+vrCxsYGfn5+sLW1LfEzICIiIioPmaCt5fTpjZadnY1atWohKioKffr0KdO1WVlZsLS0RO2IhdAzMdZShKV3o+daqUNQ815/f6lDED2qK/3XJ19230dSh6DGeqXujIPWf5wndQiiqx8bSR2COpVm9vzWiDzdad8xT9KtUXhWyc+lDgEA8DzvGY7vno/MzEy1vd21If934YrT78JEoZmvx9Ps55joeaxC4q9IuvW/lSSnUqlw9+5dLFu2DFZWVujZs6fUIREREVElxmSU1KSmpqJevXqoXbs2oqOjSz0hi4iIiArS5FjPyjpmlJkGqbG3twdHbhAREWmGZndgqpzJaOV8KiIiIiJ6I7BllIiIiEhLVIIMKkEzE+00VY+uYcsoEREREUmGLaNEREREWqLS4JhRbgdKRERERGWiEvSg0tAseE3Vo2sq51MRERER0RuBLaNEREREWqKEDEpoZuKRpurRNWwZJSIiIiLJsGWUtMbAPBd6ptL/vaNLe8EDwIGt0VKHIKq/aazUIYgMEyylDkFNSjfd2fxBZWIodQgiw3Tpv6dfVjs2T+oQROneuvMrVaU7oQAAbrXQlzoEAIDqmT6wu4LvyTGjJdKx/65ERERElYcSmuteV2qkFt1TOVNsIiIiInojsGWUiIiISEvYTV+yyvlURERERPRGYMsoERERkZYoBT0oNdSiqal6dE3lfCoiIiIieiOwZZSIiIhISwTIoNLQbHqhki56z2SUiIiISEvYTV+yyvlURERERPRGYMsoERERkZaoBBlUgma61zVVj65hyygRERERSYbJqAakpKRAJpMhISGhXNfLZDLs2LFDozGVhb29PSIiIootI3WMREREbyIl9DR6VEbsptcAOzs7pKeno1q1agCA2NhYdOjQAQ8ePICVlVWJ16enp6NKlSpajrJoJ0+ehJmZmWT3JyIiqqzYTV8yJqMaoK+vD2tr6zJfl5ubCyMjo3Jdq0nVq1eX9P5ERET09qqc7b1aoFKp8MUXX6B+/fqQy+WoU6cOPvvsMwDq3fQpKSno0KEDAKBKlSqQyWTw9/cHALRv3x6BgYGYPHkyqlWrBj8/PwAFu8D/+usvDBo0CFWrVoWZmRmaN2+O48ePFxnbzJkz4ezsDFNTUzg4OGDevHnIy8tTK/Pzzz+jRYsWMDY2RrVq1fDBBx+I773aTZ+UlIS2bdvC2NgYrq6uOHDgwOt8dERERG8tFfQ0elRGbBktpdmzZ2PdunVYvnw5WrdujfT0dFy+fLlAOTs7O/z000/o27cvrly5AgsLC5iYmIjvb9y4ER9//DHi4uIKvU92djbatWuHWrVqYdeuXbC2tsaZM2egUqmKjM3c3BzR0dGwtbXF+fPnMWrUKJibm2PGjBkAgD179uCDDz7AnDlz8M033yA3Nxd79+4ttC6VSoU+ffqgZs2aOH78ODIzMzF58uRiP5ucnBzk5OSIr7OysootT0RERJSPyWgpPHr0CJGRkfjyyy8xbNgwAICjoyNat25doKy+vj6qVq0KAKhRo0aBMaNOTk744osvirzXpk2bcOfOHZw8eVKsp379+sXGN3fuXPHf9vb2CAoKwubNm8Vk9LPPPsPAgQMREhIilnN3dy+0rl9//RWXL1/Gvn37YGtrCwBYvHgxunbtWuT9Q0ND1eomIiKiF5SCDEoNjfXUVD26pnK292pYYmIicnJy0KlTp9euy9PTs9j3ExIS0LRpUzERLY0tW7bAx8cH1tbWUCgUmDt3LlJTU9XqLG3siYmJsLOzExNRAPDy8ir2mtmzZyMzM1M80tLSSh07ERFRZZY/gUlTR2XEZLQUXu5mf10lzVov673i4+MxePBgdOvWDbt378bZs2cxZ84c5ObmlrvOspLL5bCwsFA7iIiIiEqDyWgpODk5wcTEBAcPHixVeSMjIwCAUqks872aNGmChIQE3L9/v1Tljx49irp162LOnDlo3rw5nJyccPPmzQJ1ljZ2FxcXpKWlIT09XTx37Nix0j8AERERiQRBDyoNHQL3pn97GRsbY+bMmZgxYwa++eYbJCcn49ixY1i/fn2h5evWrQuZTIbdu3fjzp07yM7OLvW9Bg0aBGtra/Tu3RtxcXG4fv06fvrpJ8THxxda3snJCampqdi8eTOSk5OxYsUKbN++Xa3MggUL8P3332PBggVITEzE+fPnsWTJkkLr8/X1hbOzM4YNG4Zz587h999/x5w5c0odPxEREVFZMBktpXnz5mHatGmYP38+XFxcMGDAANy+fbvQsrVq1UJISAhmzZqFmjVrIjAwsNT3MTIywv79+1GjRg1069YNbm5u+Pzzz6Gvr19o+Z49e2LKlCkIDAyEh4cHjh49innz5qmVad++PX744Qfs2rULHh4e6NixI06cOFFofXp6eti+fTuePn2Kli1bYuTIkeISVkRERFQ2Ssg0epTHV199BXt7exgbG6NVq1ZF5gD5Hj58iPHjx8PGxgZyuRzOzs5FrsKjCTJBEASt1U5vpaysLFhaWsJ+/VzomRpLHQ7sV0kdgboDW6OlDkFUf9NYqUMQGWbp1t/Geea686NRZVL00m4VzUDHvk61Y/NKLlRB0r2NpA5BpP9U6gjU5VnoxveT6tkzXF84B5mZmVqf35D/uzDgSH8YKQw1Umdudh7Wt9tapvi3bNmCoUOHYs2aNWjVqhUiIiLwww8/4MqVK6hRo0bBe+TmwsfHBzVq1MAnn3yCWrVq4ebNm7CysipyJZ7XxaWdiIiIiLREJWhuG09VOXL68PBwjBo1CsOHDwcArFmzBnv27MGGDRswa9asAuU3bNiA+/fv4+jRozA0fJFE29vbv07YJdKtP3GJiIiIKhFNTV7KP4AXra4vHy9vPPOy3NxcnD59Gr6+vuI5PT09+Pr6FjkXZdeuXfDy8sL48eNRs2ZNNG7cGIsXLy7XpOzSYjJKRERE9Aaxs7ODpaWleISGhhZa7u7du1AqlahZs6ba+Zo1ayIjI6PQa65fv44ff/wRSqUSe/fuxbx587Bs2TJ8+umnGn+OfOymJyIiItISFWRQlXPiUWF1AUBaWpramFG5XK6R+oEX24LXqFEDa9euhb6+Pjw9PfH3339j6dKlWLBggcbu8zImo0RERERvkNJuMFOtWjXo6+vj1q1baudv3boFa2vrQq+xsbGBoaGh2io+Li4uyMjIQG5urriWuiaxm56IiIhIS/L3ptfUURZGRkbw9PRU2/hGpVLh4MGDRW717ePjg2vXrkGl+ncVj6tXr8LGxkYriSjAZJSIiIhIa7Qxgakspk6dinXr1mHjxo1ITEzExx9/jMePH4uz64cOHYrZs2eL5T/++GPcv38fkyZNwtWrV7Fnzx4sXrwY48eP19hn8ip20xMRERFVUgMGDMCdO3cwf/58ZGRkwMPDAzExMeKkptTUVOjp/Zvk2tnZYd++fZgyZQqaNGmCWrVqYdKkSZg5c6bWYmQySkRERKQlKsg0t85oOSdCBQYGFrkbZGxsbIFzXl5eOHbsWLnuVR7spiciIiIiybBllIiIiEhLBA0u7SRoqB5dw2SUtEZx1AT6RtLvTf+orm7siZxPl/aDv/bhGqlDEDVf8LHUIahRej6QOgRRDUW21CGIqhg/kToENf+cqC91CCKLZN35WWOeVviOPFK57Sn97wIAUOZUfDKnEjTYTa+henQNu+mJiIiISDJsGSUiIiLSkvIuyVRUXZVR5XwqIiIiInojsGWUiIiISEs4ZrRkbBklIiIiIsmwZZSIiIhIS1QaXNpJU/XoGiajRERERFrCbvqSsZueiIiIiCTDllEiIiIiLWHLaMnYMkpEREREkmHLKBEREZGWsGW0ZG99y6i/vz969+5dbJn27dtj8uTJGr1vcHAwPDw8NFonERER6Zb8ZFRTR2X01reMRkZGQhAEqcMgIiIieiu90clobm4ujIyMXqsOS0tLDUXzdtDEZ05ERPS2EKC59UEra9PZG9VN3759ewQGBmLy5MmoVq0a/Pz8AAAXLlxA165doVAoULNmTQwZMgR3794Vr/vxxx/h5uYGExMTvPPOO/D19cXjx48BFOymf/z4MYYOHQqFQgEbGxssW7asQBwymQw7duxQO2dlZYXo6Gjx9cyZM+Hs7AxTU1M4ODhg3rx5yMvLK/WzPnjwAIMHD0b16tVhYmICJycnREVFAQBiY2Mhk8nw8OFDsXxCQgJkMhlSUlLEc+vWrYOdnR1MTU3xwQcfIDw8HFZWVuL7ycnJ6NWrF2rWrAmFQoEWLVrg119/VYvD3t4eixYtwtChQ2FhYYHRo0eX+hmIiIiISvJGJaMAsHHjRhgZGSEuLg5r1qzBw4cP0bFjRzRt2hSnTp1CTEwMbt26hf79+wMA0tPTMWjQIIwYMQKJiYmIjY1Fnz59iuyanz59Oo4cOYKdO3di//79iI2NxZkzZ8ocp7m5OaKjo3Hp0iVERkZi3bp1WL58eamvnzdvHi5duoRffvkFiYmJWL16NapVq1bq6+Pi4jB27FhMmjQJCQkJeO+99/DZZ5+plcnOzka3bt1w8OBBnD17Fl26dEGPHj2QmpqqVi4sLAzu7u44e/Ys5s2bV+oYiIiI3nYcM1qyN66b3snJCV988YX4+tNPP0XTpk2xePFi8dyGDRtgZ2eHq1evIjs7G8+fP0efPn1Qt25dAICbm1uhdWdnZ2P9+vX47rvv0KlTJwAvkt/atWuXOc65c+eK/7a3t0dQUBA2b96MGTNmlOr61NRUNG3aFM2bNxfrKIuVK1eia9euCAoKAgA4Ozvj6NGj2L17t1jG3d0d7u7u4utFixZh+/bt2LVrFwIDA8XzHTt2xLRp04q8V05ODnJycsTXWVlZZYqViIiosuJs+pK9cS2jnp6eaq/PnTuHw4cPQ6FQiEfDhg0BvOiGdnd3R6dOneDm5oZ+/fph3bp1ePDgQaF1JycnIzc3F61atRLPVa1aFQ0aNChznFu2bIGPjw+sra2hUCgwd+7cAi2Oxfn444+xefNmeHh4YMaMGTh69GiZ7n/lyhW0bNlS7dyrr7OzsxEUFAQXFxdYWVlBoVAgMTGxQJz5CXFRQkNDYWlpKR52dnZlipWIiIjeXm9cMmpmZqb2Ojs7Gz169EBCQoLakZSUhLZt20JfXx8HDhzAL7/8AldXV6xcuRINGjTAjRs3yh2DTCYr0M3/8njQ+Ph4DB48GN26dcPu3btx9uxZzJkzB7m5uaW+R9euXXHz5k1MmTIF//zzDzp16iS2curpvfiyvRxDWcaj5gsKCsL27duxePFi/P7770hISICbm1uBOF/9zF81e/ZsZGZmikdaWlqZYyEiIqqM2E1fsjcuGX1Vs2bNcPHiRdjb26N+/fpqR34SJZPJ4OPjg5CQEJw9exZGRkbYvn17gbocHR1haGiI48ePi+cePHiAq1evqpWrXr060tPTxddJSUl48uSJ+Pro0aOoW7cu5syZg+bNm8PJyQk3b94s87NVr14dw4YNw3fffYeIiAisXbtWPA9ALYaEhAS1axs0aICTJ0+qnXv1dVxcHPz9/fHBBx/Azc0N1tbWahOgSksul8PCwkLtICIiIiqNNz4ZHT9+PO7fv49Bgwbh5MmTSE5Oxr59+zB8+HAolUocP34cixcvxqlTp5Camopt27bhzp07cHFxKVCXQqFAQEAApk+fjkOHDuHChQvw9/cXWyLzdezYEV9++SXOnj2LU6dOYezYsTA0NBTfd3JyQmpqKjZv3ozk5GSsWLGi0OS3OPPnz8fOnTtx7do1XLx4Ebt37xZjrl+/Puzs7BAcHIykpCTs2bOnwKz/CRMmYO/evQgPD0dSUhK+/vpr/PLLL5DJ/v2rysnJCdu2bUNCQgLOnTuHDz/8ECqVqkxxEhERUdHYMlqyNz4ZtbW1RVxcHJRKJTp37gw3NzdMnjwZVlZW0NPTg4WFBX777Td069YNzs7OmDt3LpYtW4auXbsWWt/SpUvRpk0b9OjRA76+vmjdunWBcarLli2DnZ0d2rRpgw8//BBBQUEwNTUV3+/ZsyemTJmCwMBAeHh44OjRo2WehW5kZITZs2ejSZMm4nCDzZs3AwAMDQ3x/fff4/Lly2jSpAmWLFmCTz/9VO16Hx8frFmzBuHh4XB3d0dMTAymTJkCY2NjsUx4eDiqVKkCb29v9OjRA35+fmjWrFmZ4iQiIiJ6HTKB2w+9NUaNGoXLly/j999/1+p9srKyYGlpicYBn0HfyLjkC7TM6JFu/Re/21TqCP517cM1Uocgar7gY6lDUKN8v/CJjlKoociWOgRRFeMnJReqQP8srS91CKIcc32pQxCZp+WUXKgC3faU/ncBAChznuHyyk+QmZmp9SFl+b8LfXYGwsBMrpE6nz/OQVyvLysk/or0xi3tRKUXFhaG9957D2ZmZvjll1+wceNGrFq1SuqwiIiI3hoqyDS2A5Om6tE1TEYrsRMnTuCLL77Ao0eP4ODggBUrVmDkyJFSh0VEREQkYjJaiW3dulXqEIiIiN5qXPS+ZG/8BCYiIiIienOxZZSIiIhISwRBBkFDLZqaqkfXMBklIiIi0hJ205eM3fREREREJBm2jBIRERFpCbvpS8aWUSIiIiKSDFtGiYiIiLRE0OCY0craMspklIiIiEhLBACa2nhdtza31hwmo6Q1Wa2eQc9U6igAE7NcqUNQY5hgKXUIIl3aD/5UyGqpQ1Dz7vSxUocgepalO3tQ/zlMt/amF9x159eYUdMHUocgMvpGd/7PAIBZukrqEAAAyjzdiIPU6c53MREREVElo4IMMu5NXyxOYCIiIiIiybBllIiIiEhLuLRTydgySkRERFSJffXVV7C3t4exsTFatWqFEydOlOq6zZs3QyaToXfv3lqNj8koERERkZbkbweqqaOstmzZgqlTp2LBggU4c+YM3N3d4efnh9u3bxd7XUpKCoKCgtCmTZvyPnqpMRklIiIi0hJB0OxRVuHh4Rg1ahSGDx8OV1dXrFmzBqamptiwYUOR1yiVSgwePBghISFwcHB4jacvHSajRERERG+QrKwstSMnJ6fQcrm5uTh9+jR8fX3Fc3p6evD19UV8fHyR9S9cuBA1atRAQECAxmMvDJNRIiIiIi3Jn8CkqQMA7OzsYGlpKR6hoaGF3vvu3btQKpWoWbOm2vmaNWsiIyOj0Gv++OMPrF+/HuvWrdPsB1EMzqYnIiIieoOkpaXBwuLfjQ3kcrlG6n306BGGDBmCdevWoVq1ahqpszSYjBIRERFpiTaWdrKwsFBLRotSrVo16Ovr49atW2rnb926BWtr6wLlk5OTkZKSgh49eojnVKoXu1YZGBjgypUrcHR0fJ1HKBS76YmIiIi0RMrZ9EZGRvD09MTBgwf/jUelwsGDB+Hl5VWgfMOGDXH+/HkkJCSIR8+ePdGhQwckJCTAzs7utT+PwrBllIiIiKiSmjp1KoYNG4bmzZujZcuWiIiIwOPHjzF8+HAAwNChQ1GrVi2EhobC2NgYjRs3VrveysoKAAqc1yS2jGpBSkoKZDIZEhISiiwTHR0tfoFfR2xsLGQyGR4+fKj1exEREVHZSL2004ABAxAWFob58+fDw8MDCQkJiImJESc1paamIj09XcNPXTZsGX3DeXt7Iz09HZaWllKHQkRERDooMDAQgYGBhb4XGxtb7LXR0dGaD+gVTEbfYHl5eTAyMip0EDIRERFJ70WLpqYmMGmkGp3DbvrXoFKp8MUXX6B+/fqQy+WoU6cOPvvsM/H969evo0OHDjA1NYW7u3uxC8wCwOrVq+Ho6AgjIyM0aNAA3377rdr7MpkMq1evRs+ePWFmZobPPvus0G766Oho1KlTB6ampvjggw9w7969AvfauXMnmjVrBmNjYzg4OCAkJATPnz8HAAiCgODgYNSpUwdyuRy2traYOHHia3xSREREbydtrDNa2TAZfQ2zZ8/G559/jnnz5uHSpUvYtGmT2sKyc+bMQVBQEBISEuDs7IxBgwaJCd+rtm/fjkmTJmHatGm4cOECxowZg+HDh+Pw4cNq5YKDg/HBBx/g/PnzGDFiRIF6jh8/joCAAAQGBiIhIQEdOnTAp59+qlbm999/x9ChQzFp0iRcunQJX3/9NaKjo8VE+qeffsLy5cvx9ddfIykpCTt27ICbm1uRn0NOTk6B3SCIiIiISoPd9OX06NEjREZG4ssvv8SwYcMAAI6OjmjdujVSUlIAAEFBQejevTsAICQkBI0aNcK1a9fQsGHDAvWFhYXB398f48aNA/Bi9tuxY8cQFhaGDh06iOU+/PBDcQYc8KL19WWRkZHo0qULZsyYAQBwdnbG0aNHERMTI5YJCQnBrFmzxLgdHBywaNEizJgxAwsWLEBqaiqsra3h6+sLQ0ND1KlTBy1btizyswgNDUVISEipPzsiIqK3hfD/h6bqqozYMlpOiYmJyMnJQadOnYos06RJE/HfNjY2AIDbt28XWZ+Pj4/aOR8fHyQmJqqda968eYlxtWrVSu3cq2uJnTt3DgsXLoRCoRCPUaNGIT09HU+ePEG/fv3w9OlTODg4YNSoUdi+fXuRLbrAixbizMxM8UhLSys2RiIiIqJ8bBktJxMTkxLLGBoaiv+WyV6M88jfyaC8zMzMXut6AMjOzkZISAj69OlT4D1jY2PY2dnhypUr+PXXX3HgwAGMGzcOS5cuxZEjR9SeKZ9cLtfYVmRERESViTZ2YKps2DJaTk5OTjAxMVHb1eB1uLi4IC4uTu1cXFwcXF1dy1zP8ePH1c4dO3ZM7XWzZs1w5coV1K9fv8Chp/fiv4SJiQl69OiBFStWIDY2FvHx8Th//nw5noyIiIioaGwZLSdjY2PMnDkTM2bMgJGREXx8fHDnzh1cvHix2K77okyfPh39+/dH06ZN4evri59//hnbtm3Dr7/+WqZ6Jk6cCB8fH4SFhaFXr17Yt2+f2nhRAJg/fz7ef/991KlTB//5z3+gp6eHc+fO4cKFC/j0008RHR0NpVKJVq1awdTUFN999x1MTExQt27dMj8XERHRW42DRkvEltHXMG/ePEybNg3z58+Hi4sLBgwYUOSY0JL07t0bkZGRCAsLQ6NGjfD1118jKioK7du3L1M97777LtatW4fIyEi4u7tj//79mDt3rloZPz8/7N69G/v370eLFi3w7rvvYvny5WKyaWVlhXXr1sHHxwdNmjTBr7/+ip9//hnvvPNOuZ6NiIjoraXJZZ0qaTe9TBAq6xKqJJWsrCxYWlqiztp50DM1ljocmJjlSh2CGmWC7uyWZZauO9/+p0JWSx2Cmnenj5U6BJE86/XGmmvSnWFPpA5BjXDeQuoQREZNH0gdgsjiG935XADgubFuJFHKvGc4vXUuMjMzYWGh3c8o/3ehQ/Qcjf0uVD15huv+n1VI/BWJ3fREREREWlLePeWLqqsyYjc9EREREUmGLaNEREREWsKlnUrGZJSIiIhIWzQ58aiSJqPspiciIiIiybBllIiIiEhLOIGpZGwZJSIiIiLJsGWUiIiISFu4A1OJ2DJKRERERJJhyygRERGRlnBpp5IxGSUiIiLSpkrava4pTEZJa2y3G8LA0FDqMGCYrVt/SaZ0052fSkpP3dlLW5f2ggeAY0vXSB2CaOWDulKHIFr9fXepQ1Bjlq47308GyZZShyDKNdOtn3tZjroRj/IZRyfqIiajRERERFrCbvqS8U8EIiIiIpIMW0aJiIiItIVLO5WIySgRERGR1sj+/9BUXZUPu+mJiIiISDJsGSUiIiLSFnbTl4gto0REREQkGbaMEhEREWkLW0ZLxGSUiIiISFsE2YtDU3VVQuymJyIiIiLJsGWUiIiISEsE4cWhqboqo9dqGRUEAaNHj0bVqlUhk8mQkJCgobAqhkwmw44dO8TXly9fxrvvvgtjY2N4eHho/f6xsbGQyWR4+PAhACA6OhpWVlYaqz8lJaXEr8urMRARERFVpNdqGY2JiUF0dDRiY2Ph4OCAatWqaSouSSxYsABmZma4cuUKFApFhd9/wIAB6Natm8bqs7OzQ3p6+hv/dSEiInpjcQJTiV4rGU1OToaNjQ28vb2LLJObmwsjI6PXuU2FSU5ORvfu3VG3bt1y16FUKiGTyaCnV/ZGZxMTE5iYmJT73q/S19eHtbW1xuojIiIi0rRyd9P7+/tjwoQJSE1NhUwmg729PQCgffv2CAwMxOTJk1GtWjX4+fkBAC5cuICuXbtCoVCgZs2aGDJkCO7evSvWp1KpEBoainr16sHExATu7u748ccfi41h1apVcHJygrGxMWrWrIn//Oc/4nv29vaIiIhQK+/h4YHg4OBC65LJZDh9+jQWLlwImUyG4ODgQruwExISIJPJkJKSAuDfrvVdu3bB1dUVcrkcqamphd5j7969cHZ2homJCTp06CDWka+wbvrVq1fD0dERRkZGaNCgAb799lvxvREjRqBJkybIyckB8CLxb9q0KYYOHQqg8G76kmIAgD/++ANt2rSBiYkJ7OzsMHHiRDx+/LjQZyIiIqJi5M+m19RRCZU7GY2MjMTChQtRu3ZtpKen4+TJk+J7GzduhJGREeLi4rBmzRo8fPgQHTt2RNOmTXHq1CnExMTg1q1b6N+/v3hNaGgovvnmG6xZswYXL17ElClT8NFHH+HIkSOF3v/UqVOYOHEiFi5ciCtXriAmJgZt27Yt7+MgPT0djRo1wrRp05Ceno6goKBSX/vkyRMsWbIE//3vf3Hx4kXUqFGjQJm0tDT06dMHPXr0QEJCAkaOHIlZs2YVW+/27dsxadIkTJs2DRcuXMCYMWMwfPhwHD58GACwYsUKPH78WKxnzpw5ePjwIb788stC6ytNDMnJyejSpQv69u2LP//8E1u2bMEff/yBwMDAIuPMyclBVlaW2kFERESATNDsURmVu5ve0tIS5ubmhXYFOzk54YsvvhBff/rpp2jatCkWL14sntuwYQPs7Oxw9epV1K1bF4sXL8avv/4KLy8vAICDgwP++OMPfP3112jXrl2B+6empsLMzAzvv/8+zM3NUbduXTRt2rS8jwNra2sYGBhAoVCUuWs7Ly8Pq1atgru7e5Fl8ls4ly1bBgBo0KABzp8/jyVLlhR5TVhYGPz9/TFu3DgAwNSpU3Hs2DGEhYWhQ4cOUCgU+O6779CuXTuYm5sjIiIChw8fhoWFRbljCA0NxeDBgzF58mQAL76WK1asQLt27bB69WoYGxsXqDc0NBQhISHFf0hEREREhdDKOqOenp5qr8+dO4fDhw9DoVCIR8OGDQG8aIm7du0anjx5gvfee0+tzDfffIPk5ORC7/Hee++hbt26cHBwwJAhQ/C///0PT5480cbjlMjIyAhNmjQptkxiYiJatWqldi4/8S7uGh8fH7VzPj4+SExMVKsjKCgIixYtwrRp09C6devXiuHcuXOIjo5W+zr4+flBpVLhxo0bhdY7e/ZsZGZmikdaWlqxz0VERPTWEDR8VEJaWWfUzMxM7XV2djZ69OhRaCugjY0NLly4AADYs2cPatWqpfa+XC4v9B7m5uY4c+YMYmNjsX//fsyfPx/BwcE4efIkrKysoKenB+GVBbny8vLK9Bz5k5BerqewOkxMTCCTSTOOQ6VSIS4uDvr6+rh27dpr15ednY0xY8Zg4sSJBd6rU6dOodfI5fIiv05ERERExamQHZiaNWuGixcvwt7eHvXr11c7zMzM1Cb+vPq+nZ1dkfUaGBjA19cXX3zxBf7880+kpKTg0KFDAIDq1asjPT1dLJuVlVVky15RqlevDgBq9ZR3LVUXFxecOHFC7dyxY8dKvCYuLk7tXFxcHFxdXcXXS5cuxeXLl3HkyBHExMQgKirqtWJo1qwZLl26VODrUL9+/TdmVQQiIiKdoQMTmL766ivY29vD2NgYrVq1KpALvGzdunVo06YNqlSpgipVqsDX17fY8ppQIcno+PHjcf/+fQwaNAgnT55EcnIy9u3bh+HDh0OpVMLc3BxBQUGYMmUKNm7ciOTkZJw5cwYrV67Exo0bC61z9+7dWLFiBRISEnDz5k188803UKlUaNCgAQCgY8eO+Pbbb/H777/j/PnzGDZsGPT19csUd34yHBwcjKSkJOzZs0ccb1lWY8eORVJSEqZPn44rV65g06ZNiI6OLvaa6dOnIzo6GqtXr0ZSUhLCw8Oxbds2cXLV2bNnMX/+fPz3v/+Fj48PwsPDMWnSJFy/fr3cMcycORNHjx5FYGAgEhISkJSUhJ07dxY7gYmIiIiKIHE3/ZYtWzB16lQsWLAAZ86cgbu7O/z8/HD79u1Cy8fGxmLQoEE4fPgw4uPjYWdnh86dO+Pvv/8u+81LqUKSUVtbW8TFxUGpVKJz585wc3PD5MmTxe50AFi0aBHmzZuH0NBQuLi4oEuXLtizZw/q1atXaJ1WVlbYtm0bOnbsCBcXF6xZswbff/89GjVqBODFOMZ27drh/fffR/fu3dG7d284OjqWKW5DQ0N8//33uHz5Mpo0aYIlS5bg008/LddnUKdOHfz000/YsWMH3N3dsWbNGrUJXYXp3bs3IiMjERYWhkaNGuHrr79GVFQU2rdvj2fPnuGjjz6Cv78/evToAQAYPXo0OnTogCFDhkCpVJYrhiZNmuDIkSO4evUq2rRpg6ZNm2L+/PmwtbUt13MTERGRdMLDwzFq1CgMHz4crq6uWLNmDUxNTbFhw4ZCy//vf//DuHHj4OHhgYYNG+K///0vVCoVDh48qLUYZcKrAyuJXlNWVhYsLS3xbteFMDAsOPu+ohlmP5c6BDUp3XRnfK258wOpQxDJt1pJHYKaY0vXSB2CaOWD8m/EoWmrv+8udQhqTNN151eYQY7uxCJINI+hKFmOuhGP8tkzJId+gszMzCJXntGU/N+FdssWQc9EM78LVU+fIW3aPKSlpanFX9TcjdzcXJiamuLHH39E7969xfPDhg3Dw4cPsXPnzhLv+ejRI9SoUQM//PAD3n//fY08x6sqpGWUiIiIiDTDzs4OlpaW4hEaGlpoubt370KpVKJmzZpq52vWrImMjIxS3WvmzJmwtbWFr6/va8ddFK3MpiciIiIiaGVv+sJaRrXh888/x+bNmxEbG1voOuOawmSUiIiISFs0uY3n/9djYWFRqmEG1apVg76+Pm7duqV2/tatWyVu8BMWFobPP/8cv/76a4lrqb8udtMTERERVUJGRkbw9PRUm3yUPxmpuI13vvjiCyxatAgxMTFo3ry51uNkyygRERGRlmhyT/ny1DN16lQMGzYMzZs3R8uWLREREYHHjx9j+PDhAIChQ4eiVq1a4rjTJUuWYP78+di0aRPs7e3FsaX5uzJqA5NRIiIiokpqwIABuHPnDubPn4+MjAx4eHggJiZGnNSUmpoqLrMJAKtXr0Zubi7+85//qNWzYMECBAcHayVGJqNERERE2qKFCUxlFRgYWOTmNbGxsWqvU1JSyneT18Axo0REREQkGSajRERERCQZdtMTERERaYkMGpzApJlqdA5bRomIiIhIMmwZJa3Rz1VBX6WSOgzoP86TOgQ1KhNDqUMQ1VBkSx2C6FmWdveJLitd2g9+QpWbUocgWq1jTTPyLOl/xuTTz9Wdvel1rQnNMEs30g29HAluqoVF7ysbtowSERERkWR0408VIiIiospIB5Z20nVMRomIiIi0hcloidhNT0RERESSYcsoERERkZZIvTf9m4Ato0REREQkGbaMEhEREWkLx4yWiMkoERERkbYwGS0Ru+mJiIiISDJsGSUiIiLSEk5gKhlbRomIiIhIMjqdjPr7+6N3795aqz84OBgeHh4FztWsWRMymQw7duzQ2r3ztW/fHpMnTxZf29vbIyIiQmP1l+YzfDUGIiIi0pD8vek1dVRCZeqmb9++PTw8PMqcLJX3uoqWmJiIkJAQbN++He+++y6qVKlS4TGcPHkSZmZmGqsvMjISglBJ2/WJiIjojccxoy9JTk4GAPTq1QsyWfn/+sjNzYWRkVG5rq1evXq571sYS0tLjdZHREREZcDZ9CUqdTe9v78/jhw5gsjISMhkMshkMqSkpAAAjhw5gpYtW0Iul8PGxgazZs3C8+fPi71OqVQiICAA9erVg4mJCRo0aIDIyMgyBX/z5k306NEDVapUgZmZGRo1aoS9e/cCAKKjo2FlZaVWfseOHUUmmcHBwejRo8eLD0VPTyxXWBd279694e/vL762t7fHokWLMHToUFhYWGD06NGF3uPx48cYOnQoFAoFbGxssGzZsgJlXu2mT01NRa9evaBQKGBhYYH+/fvj1q1bAIDLly/D1NQUmzZtEstv3boVJiYmuHTpEoCC3fSliSEnJwdBQUGoVasWzMzM0KpVK8TGxhb6TERERFS0/AlMmjoqo1Ino5GRkfDy8sKoUaOQnp6O9PR02NnZ4e+//0a3bt3QokULnDt3DqtXr8b69evx6aefFnudSqVC7dq18cMPP+DSpUuYP38+PvnkE2zdurXUwY8fPx45OTn47bffcP78eSxZsgQKhaLsnwKAoKAgREVFAYAYZ1mEhYXB3d0dZ8+exbx58wotM336dBw5cgQ7d+7E/v37ERsbizNnzhRZp0qlQq9evXD//n0cOXIEBw4cwPXr1zFgwAAAQMOGDREWFoZx48YhNTUVf/31F8aOHYslS5bA1dW13DEEBgYiPj4emzdvxp9//ol+/fqhS5cuSEpKKtNnQkRERFSSUnfTW1pawsjICKamprC2thbPr1q1CnZ2dvjyyy8hk8nQsGFD/PPPP5g5cybmz59f5HX6+voICQkRX9erVw/x8fHYunUr+vfvX6qYUlNT0bdvX7i5uQEAHBwcSvs4BSgUCrEl9eU4S6tjx46YNm1ake9nZ2dj/fr1+O6779CpUycAwMaNG1G7du0irzl48CDOnz+PGzduwM7ODgDwzTffoFGjRjh58iRatGiBcePGYe/evfjoo49gZGSEFi1aYMKECeWOITU1FVFRUUhNTYWtrS2AF4l6TEwMoqKisHjx4gL15uTkICcnR3ydlZVV5DMRERG9VdhNX6LXHjOamJgILy8vte5vHx8fZGdn46+//kKdOnWKvParr77Chg0bkJqaiqdPnyI3N7fA7PbiTJw4ER9//DH2798PX19f9O3bF02aNHmdxym35s2bF/t+cnIycnNz0apVK/Fc1apV0aBBgyKvSUxMhJ2dnZiIAoCrqyusrKyQmJiIFi1aAAA2bNgAZ2dn6Onp4eLFi0UORShNDOfPn4dSqYSzs7PatTk5OXjnnXcKrTc0NFTtDwsiIiKi0pJsaafNmzcjKCgIAQEB2L9/PxISEjB8+HDk5uaWuo6RI0fi+vXrGDJkCM6fP4/mzZtj5cqVAF6M+3x1FnleXl6Z4yxtPZqcAV9W586dw+PHj/H48eMyDy94VXZ2NvT19XH69GkkJCSIR2JiYpFjemfPno3MzEzxSEtLe60YiIiIKg1NjhetpC2jZUpGjYyMoFQq1c65uLggPj5eLWGLi4uDubm52P1b2HVxcXHw9vbGuHHj0LRpU9SvX1+czV4WdnZ2GDt2LLZt24Zp06Zh3bp1AF7MSn/06BEeP34slk1ISChz/dWrV1dL8JRKJS5cuFDmehwdHWFoaIjjx4+L5x48eICrV68WeY2LiwvS0tLUkrtLly7h4cOH4pjQ+/fvw9/fH3PmzIG/vz8GDx6Mp0+fljuGpk2bQqlU4vbt26hfv77aUdTwBblcDgsLC7WDiIiI8G83vaaOSqhMyai9vT2OHz+OlJQU3L17FyqVCuPGjUNaWhomTJiAy5cvY+fOnViwYAGmTp0KPT29Iq9zcnLCqVOnsG/fPly9ehXz5s3DyZMnyxT85MmTsW/fPty4cQNnzpzB4cOH4eLiAgBo1aoVTE1N8cknnyA5ORmbNm1CdHR0meoHXowF3bNnD/bs2YPLly/j448/xsOHD8tcj0KhQEBAAKZPn45Dhw7hwoUL8Pf3Fz+jwvj6+sLNzQ2DBw/GmTNncOLECQwdOhTt2rUThwWMHTsWdnZ2mDt3LsLDw6FUKhEUFFTuGJydnTF48GAMHToU27Ztw40bN3DixAmEhoZiz549ZX5uIiIiouKUKRkNCgqCvr4+XF1dUb16daSmpqJWrVrYu3cvTpw4AXd3d4wdOxYBAQGYO3dusdeNGTMGffr0wYABA9CqVSvcu3cP48aNK1PwSqUS48ePh4uLC7p06QJnZ2esWrUKwIuxkN999x327t0LNzc3fP/99wgODi5T/QAwYsQIDBs2TEwCHRwc0KFDhzLXAwBLly5FmzZt0KNHD/j6+qJ169bw9PQssrxMJsPOnTtRpUoVtG3bFr6+vnBwcMCWLVsAvJjMtHfvXnz77bcwMDCAmZkZvvvuO6xbtw6//PJLuWOIiorC0KFDMW3aNDRo0AC9e/fGyZMnix3/S0RERIVgy2iJZAK35yENy8rKgqWlJXw6BcPAwFjqcGD4MKfkQhUoaaip1CGInFz+ljoE0bMIW6lDUPOfz/dJHYJoQpWbUocgcl1dtkYDbatyWVlyoQqin6tDv051bNfIhw66sceOMucZLn/5CTIzM7U+pCz/d6HDnMXQN9bM70Lls2e4/lnFxF+RdON/BxEREVElpMnF6t/6Re+JiIiIiDSNySgRERERSYbd9ERERETawh2YSsSWUSIiIiKSDFtGiYiIiLSEE5hKxpZRIiIiIpIMW0aJiIiItKmStmhqCpNRIiIiIm3hBKYSsZueiIiIiCTDllEiIiIiLeEEppIxGSWtyR3/ACozudRh4EZ6FalDUGOYrjsdElWMn0gdgujPYboTCwCs/r671CGIVuvQPuOXPl4ldQhqGn05TuoQRE8cc6UOQeQccErqENTodW0hdQgAgOd5eVKHQIXQnd+KRERERJWNoOGjHL766ivY29vD2NgYrVq1wokTJ4ot/8MPP6Bhw4YwNjaGm5sb9u7dW74blxKTUSIiIiItye+m19RRVlu2bMHUqVOxYMECnDlzBu7u7vDz88Pt27cLLX/06FEMGjQIAQEBOHv2LHr37o3evXvjwoULr/lJFI3JKBEREVElFR4ejlGjRmH48OFwdXXFmjVrYGpqig0bNhRaPjIyEl26dMH06dPh4uKCRYsWoVmzZvjyyy+1FiOTUSIiIiJt0UI3fVZWltqRk5NT6K1zc3Nx+vRp+Pr6iuf09PTg6+uL+Pj4Qq+Jj49XKw8Afn5+RZbXBCajRERERG8QOzs7WFpaikdoaGih5e7evQulUomaNWuqna9ZsyYyMjIKvSYjI6NM5TWBs+mJiIiItEULi96npaXBwsJCPC2XS79yzetgMkpERESkJdpYZ9TCwkItGS1KtWrVoK+vj1u3bqmdv3XrFqytrQu9xtraukzlNYHd9ERERESVkJGRETw9PXHw4EHxnEqlwsGDB+Hl5VXoNV5eXmrlAeDAgQNFltcEtowSERERaYvEe9NPnToVw4YNQ/PmzdGyZUtERETg8ePHGD58OABg6NChqFWrljjudNKkSWjXrh2WLVuG7t27Y/PmzTh16hTWrl2roYcoiMkoERERUSU1YMAA3LlzB/Pnz0dGRgY8PDwQExMjTlJKTU2Fnt6/HeXe3t7YtGkT5s6di08++QROTk7YsWMHGjdurLUYmYwSERERaYvELaMAEBgYiMDAwELfi42NLXCuX79+6NevX/luVg4cM0pEREREkmEyKrH27dtj8uTJFXKv4OBgeHh4VMi9iIiISPrtQN8ETEbfIkFBQWoz5Pz9/dG7d2/pAiIiIqrstLADU2XDMaNvEYVCAYVCIXUYRERERCK2jFagx48fY+jQoVAoFLCxscGyZcvU3s/JyUFQUBBq1aoFMzMztGrVSm1gcXR0NKysrLBv3z64uLhAoVCgS5cuSE9PF8vExsaiZcuWMDMzg5WVFXx8fHDz5k0A6t30wcHB2LhxI3bu3AmZTAaZTIbY2Fh07NixwCDnO3fuwMjIqMC6Y0RERFQ8dtOXjMloBZo+fTqOHDmCnTt3Yv/+/YiNjcWZM2fE9wMDAxEfH4/Nmzfjzz//RL9+/dClSxckJSWJZZ48eYKwsDB8++23+O2335CamoqgoCAAwPPnz9G7d2+0a9cOf/75J+Lj4zF69GjIZLICsQQFBaF///5iMpueng5vb2+MHDkSmzZtQk5Ojlj2u+++Q61atdCxY8dCnysnJwdZWVlqBxEREVFpMBmtINnZ2Vi/fj3CwsLQqVMnuLm5YePGjXj+/DmAF+t8RUVF4YcffkCbNm3g6OiIoKAgtG7dGlFRUWI9eXl5WLNmDZo3b45mzZohMDBQbLHMyspCZmYm3n//fTg6OsLFxQXDhg1DnTp1CsSjUChgYmICuVwOa2trWFtbw8jICH369AEA7Ny5UywbHR0Nf3//QpNaAAgNDYWlpaV42NnZaexzIyIieqNxzGiJmIxWkOTkZOTm5qJVq1biuapVq6JBgwYAgPPnz0OpVMLZ2Vkc26lQKHDkyBEkJyeL15iamsLR0VF8bWNjg9u3b4v1+fv7w8/PDz169EBkZKRaF35pGBsbY8iQIdiwYQMA4MyZM7hw4QL8/f2LvGb27NnIzMwUj7S0tDLdk4iIqNJiMloiTmDSEdnZ2dDX18fp06ehr6+v9t7Lk44MDQ3V3pPJZBCEf/93RkVFYeLEiYiJicGWLVswd+5cHDhwAO+++26pYxk5ciQ8PDzw119/ISoqCh07dkTdunWLLC+XyyGXy0tdPxEREVE+toxWEEdHRxgaGuL48ePiuQcPHuDq1asAgKZNm0KpVOL27duoX7++2mFtbV2mezVt2hSzZ8/G0aNH0bhxY2zatKnQckZGRlAqlQXOu7m5oXnz5li3bh02bdqEESNGlOn+RERE9IJMw0dlxGS0gigUCgQEBGD69Ok4dOiQ2PWdvx+ss7MzBg8ejKFDh2Lbtm24ceMGTpw4gdDQUOzZs6dU97hx4wZmz56N+Ph43Lx5E/v370dSUhJcXFwKLW9vb48///wTV65cwd27d5GXlye+N3LkSHz++ecQBAEffPDB638ARERERIVgMlqBli5dijZt2qBHjx7w9fVF69at4enpKb4fFRWFoUOHYtq0aWjQoAF69+6NkydPFjoBqTCmpqa4fPky+vbtC2dnZ4wePRrjx4/HmDFjCi0/atQoNGjQAM2bN0f16tURFxcnvjdo0CAYGBhg0KBBMDY2fr0HJyIieltxzGiJZMLLAw6J/l9KSgocHR1x8uRJNGvWrEzXZmVlwdLSEi22TYKBmfRjSf9OryJ1CGoM042kDkHUrN0VqUMQ/ZluK3UI6hIspI7gXzrUN3fp41VSh6Cm0ZfjpA5B9MQxV+oQRM4Bp6QOQU1O1xZShwAAeJ73DPEHFiAzMxMWFtr9Hs//Xdho7GLoyzXTqKPMeYaLaz6pkPgrEicwkZq8vDzcu3cPc+fOxbvvvlvmRJSIiIioLJiMkpq4uDh06NABzs7O+PHHH6UOh4iI6M2mye71StqXzWSU1LRv3x4cuUFEREQVhckoERERkTaxjadYnE1PRERERJJhyygRERGRlsiEF4em6qqMmIwSERERaQsnMJWI3fREREREJBm2jBIRERFpCbvpS8aWUSIiIiKSDFtGiYiIiLSFY0ZLxGSUtEYWXQ0yQ83sx/tauiuljkBN7dg8qUMQ/XOivtQhiAR33fpxZJauOz/15VkqqUMQ6dJe8ABwMXCV1CGIHLaNkToE0fUlXlKHoMYwSyZ1CAAAZY4SOFCx92Q3fcnYTU9EREREktGtpggiIiKiyoTd9CViyygRERERSYYto0RERETawpbRErFllIiIiIgkw5ZRIiIiIi3hbPqSMRklIiIi0hZ205eI3fREREREJBm2jBIRERFpiUwQIBM006SpqXp0DVtGiYiIiEgybBklIiIi0haOGS0Rk1EiIiIiLeFs+pKxm54AAO3bt8fkyZMLnI+OjoaVlVWFx0NERERvB7aMEhEREWkLu+lLxGT0LdG+fXs0btwYAPDtt9/C0NAQH3/8MRYuXAiZTCZxdERERPS2Yjf9W2Tjxo0wMDDAiRMnEBkZifDwcPz3v/997XpzcnKQlZWldhAREdG/Y0Y1dVRGTEbfInZ2dli+fDkaNGiAwYMHY8KECVi+fLn4/qpVq6BQKNSOsWPHllhvaGgoLC0txcPOzk6bj0FERPTmEDR8aMn9+/cxePBgWFhYwMrKCgEBAcjOzi62/IQJE9CgQQOYmJigTp06mDhxIjIzM8t8byajb5F3331XrUvey8sLSUlJUCqVAIDBgwcjISFB7Vi4cGGJ9c6ePRuZmZnikZaWprVnICIiIs0bPHgwLl68iAMHDmD37t347bffMHr06CLL//PPP/jnn38QFhaGCxcuIDo6GjExMQgICCjzvTlmlESWlpaoX7++2rkaNWqUeJ1cLodcLtdWWERERG+sN2Fpp8TERMTExODkyZNo3rw5AGDlypXo1q0bwsLCYGtrW+Caxo0b46effhJfOzo64rPPPsNHH32E58+fw8Cg9CkmW0bfIsePH1d7fezYMTg5OUFfX1+iiIiIiKisXp2nkZOT81r1xcfHw8rKSkxEAcDX1xd6enoFcofiZGZmwsLCokyJKMBk9K2SmpqKqVOn4sqVK/j++++xcuVKTJo0SeqwiIiIKi8tjBm1s7NTm6sRGhr6WiFmZGQU6Ak1MDBA1apVkZGRUao67t69i0WLFhXbtV8UdtO/RYYOHYqnT5+iZcuW0NfXx6RJk8r1n4aIiIikk5aWBgsLC/F1UUPlZs2ahSVLlhRbV2Ji4mvHk5WVhe7du8PV1RXBwcFlvp7J6FvE0NAQERERWL16dYH3YmNjC73G398f/v7+2g2MiIioEtP0WE8LCwu1ZLQo06ZNK/F3uIODA6ytrXH79m2188+fP8f9+/dhbW1d7PWPHj1Cly5dYG5uju3bt8PQ0LDEuF7FZJSIiIhIWwThxaGpusqgevXqqF69eonlvLy88PDhQ5w+fRqenp4AgEOHDkGlUqFVq1ZFXpeVlQU/Pz/I5XLs2rULxsbGZYovH8eMEhEREb3FXFxc0KVLF4waNQonTpxAXFwcAgMDMXDgQHEm/d9//42GDRvixIkTAF4kop07d8bjx4+xfv16ZGVlISMjAxkZGeKSkaXFltG3RFHd8ERERKQ9b8LSTgDwv//9D4GBgejUqRP09PTQt29frFixQnw/Ly8PV65cwZMnTwAAZ86cEWfav7os5I0bN2Bvb1/qezMZJSIiInrLVa1aFZs2bSryfXt7ewgvDRNo37692uvXwWSUiIiISFs0uY1nJd2bnskoERERkZbIVC8OTdVVGXECExERERFJhi2jRERERNrCbvoSsWWUiIiIiCTDllEiIiIiLXlTlnaSEpNRIiIiIm2RcAemNwWTUdKajPdzoWeqAyNBHpd9n1xtSvfWnW87i2Td+cFm1PSB1CGoMUi2lDoEkX6u7nydnjjmSh2CGodtY6QOQXS9z9dShyBqvGKc1CGoURpJHcELgr7UEVBhdOe3IhEREVElw276kulAsxURERERva3YMkpERESkLVzaqURsGSUiIiIiybBllIiIiEhLOGa0ZExGiYiIiLSFSzuViN30RERERCQZtowSERERaQm76UvGllEiIiIikgxbRomIiIi0hUs7lYjJKBEREZGWsJu+ZOymryD29vaIiIgodfmUlBTIZDIkJCRoLSYiIiIiqTEZreTat2+PyZMnSx0GERHR20klaPaohJiMEhEREZFkmIyWwY8//gg3NzeYmJjgnXfega+vLx4/flxo62Pv3r3h7+9fZF0ymQyrV69G165dYWJiAgcHB/z4448Fyl2/fh0dOnSAqakp3N3dER8fL7537949DBo0CLVq1YKpqSnc3Nzw/fffi+/7+/vjyJEjiIyMhEwmg0wmQ0pKCgDgwoUL6Nq1KxQKBWrWrIkhQ4bg7t27JT4rERERlYGg4aMSYjJaSunp6Rg0aBBGjBiBxMRExMbGok+fPhBeYzeEefPmoW/fvjh37hwGDx6MgQMHIjExUa3MnDlzEBQUhISEBDg7O2PQoEF4/vw5AODZs2fw9PTEnj17cOHCBYwePRpDhgzBiRMnAACRkZHw8vLCqFGjkJ6ejvT0dNjZ2eHhw4fo2LEjmjZtilOnTiEmJga3bt1C//79tfasREREbyMZ/p3E9NqH1A+jJZxNX0rp6el4/vw5+vTpg7p16wIA3NzcXqvOfv36YeTIkQCARYsW4cCBA1i5ciVWrVollgkKCkL37t0BACEhIWjUqBGuXbuGhg0bolatWggKChLLTpgwAfv27cPWrVvRsmVLWFpawsjICKamprC2thbLffnll2jatCkWL14sntuwYQPs7Oxw9epVZGdnl+lZc3JykJOTI77Oysp6rc+FiIiI3h5sGS0ld3d3dOrUCW5ubujXrx/WrVuHBw8evFadXl5eBV6/2jLapEkT8d82NjYAgNu3bwMAlEolFi1aBDc3N1StWhUKhQL79u1Dampqsfc9d+4cDh8+DIVCIR4NGzYEACQnJ5f5WUNDQ2FpaSkednZ2pf8QiIiIKrP8vek1dVRCTEZLSV9fHwcOHMAvv/wCV1dXrFy5Eg0aNMCNGzegp6dXoAs7Ly9PI/c1NDQU/y2TvWigV6lUAIClS5ciMjISM2fOxOHDh5GQkAA/Pz/k5uYWW2d2djZ69OiBhIQEtSMpKQlt27Yt9lkLM3v2bGRmZopHWlqaRp6diIiIKj8mo2Ugk8ng4+ODkJAQnD17FkZGRti+fTuqV6+O9PR0sZxSqcSFCxdKrO/YsWMFXru4uJQ6nri4OPTq1QsfffQR3N3d4eDggKtXr6qVMTIyglKpVDvXrFkzXLx4Efb29qhfv77aYWZmVuyzFkYul8PCwkLtICIiIg2OF9Xg4vm6hsloKR0/fhyLFy/GqVOnkJqaim3btuHOnTtwcXFBx44dsWfPHuzZsweXL1/Gxx9/jIcPH5ZY5w8//IANGzbg6tWrWLBgAU6cOIHAwMBSx+Tk5IQDBw7g6NGjSExMxJgxY3Dr1i21Mvb29jh+/DhSUlJw9+5dqFQqjB8/Hvfv38egQYNw8uRJJCcnY9++fRg+fDiUSmWxz0pERESkSZzAVEoWFhb47bffEBERgaysLNStWxfLli1D165dkZeXh3PnzmHo0KEwMDDAlClT0KFDhxLrDAkJwebNmzFu3DjY2Njg+++/h6ura6ljmjt3Lq5fvw4/Pz+Ymppi9OjR6N27NzIzM8UyQUFBGDZsGFxdXfH06VPcuHED9vb2iIuLw8yZM9G5c2fk5OSgbt266NKlC/T09Ip9ViIiIioD7k1fIiajpeTi4oKYmJhC3zM0NMSqVavUZsG/Kn99z5fZ2tpi//79hZa3t7cvMA7VyspK7VzVqlWxY8eOYuN2dnZWW5s0n5OTE7Zt21boNcU9KxEREZWeTBAg09DEI03Vo2vYTU9EREREkmHLKBEREZG2qP7/0FRdlRCTUYlwNyMiIiIiJqNEREREWsMxoyVjMkpERESkLZxNXyJOYCIiIiIiybBllIiIiEhbNLmnfCXtpmfLKBERERFJhi2jRERERFqiyT3lK+ve9ExGiYiIiLSF3fQlYjc9ERER0Vvu/v37GDx4MCwsLGBlZYWAgABkZ2eX6lpBENC1a1fIZLIStykvDFtGSWvMT5pA38hY6jCgNJE6AnUqHfquM0/LkToEkdE3FlKHoCbXTCZ1CP/SoVCcA05JHYKa60u8pA5B1HjFOKlDEF2YuErqENR4nesrdQgAAOXjiv+ZJ1O9ODRVl7YMHjwY6enpOHDgAPLy8jB8+HCMHj0amzZtKvHaiIgIyGTl/0GlQ78WiYiIiKiiJSYmIiYmBidPnkTz5s0BACtXrkS3bt0QFhYGW1vbIq9NSEjAsmXLcOrUKdjY2JTr/uymJyIiItKW/DGjmjoAZGVlqR05Oa/X4hsfHw8rKysxEQUAX19f6Onp4fjx40Ve9+TJE3z44Yf46quvYG1tXe77MxklIiIieoPY2dnB0tJSPEJDQ1+rvoyMDNSoUUPtnIGBAapWrYqMjIwir5syZQq8vb3Rq1ev17o/u+mJiIiItEUL24GmpaXBwuLfcfZyubzQ4rNmzcKSJUuKrTIxMbFcoezatQuHDh3C2bNny3X9y5iMEhEREWmJTBAg09CSTPn1WFhYqCWjRZk2bRr8/f2LLePg4ABra2vcvn1b7fzz589x//79IrvfDx06hOTkZFhZWamd79u3L9q0aYPY2NgS48vHZJSIiIioEqpevTqqV69eYjkvLy88fPgQp0+fhqenJ4AXyaZKpUKrVq0KvWbWrFkYOXKk2jk3NzcsX74cPXr0KFOcTEaJiIiItOUNWPTexcUFXbp0wahRo7BmzRrk5eUhMDAQAwcOFGfS//333+jUqRO++eYbtGzZEtbW1oW2mtapUwf16tUr0/05gYmIiIjoLfe///0PDRs2RKdOndCtWze0bt0aa9euFd/Py8vDlStX8OTJE43fmy2jRERERNoiANDUYvVa3A20atWqxS5wb29vD6GEltmS3i8Kk1EiIiIiLdHGBKbKht30RERERCQZtowSERERaYsADU5g0kw1uoYtozomJSUFMpkMCQkJOlWfvb09IiIiNBITERERUT62jBIRERFpyxuwtJPUmIwSERERaYsKgEyDdVVC7KaXQExMDFq3bg0rKyu88847eP/995GcnFxk+YsXL+L999+HhYUFzM3N0aZNG7G8SqXCwoULUbt2bcjlcnh4eCAmJqZAHdevX0eHDh1gamoKd3d3xMfHq73/008/oVGjRpDL5bC3t8eyZcs0+9BEREREhWAyKoHHjx9j6tSpOHXqFA4ePAg9PT188MEHUKkK/snz999/o23btpDL5Th06BBOnz6NESNG4Pnz5wCAyMhILFu2DGFhYfjzzz/h5+eHnj17IikpSa2eOXPmICgoCAkJCXB2dsagQYPEOk6fPo3+/ftj4MCBOH/+PIKDgzFv3jxER0eX6nlycnKQlZWldhAREdG/Sztp6qiM2E0vgb59+6q93rBhA6pXr45Lly5BoVCovffVV1/B0tISmzdvhqGhIQDA2dlZfD8sLAwzZ87EwIEDAQBLlizB4cOHERERga+++kosFxQUhO7duwMAQkJC0KhRI1y7dg0NGzZEeHg4OnXqhHnz5on1X7p0CUuXLoW/v3+JzxMaGoqQkJCyfxBERET01mPLqASSkpIwaNAgODg4wMLCAvb29gCA1NTUAmUTEhLQpk0bMRF9WVZWFv755x/4+Pionffx8UFiYqLauSZNmoj/trGxAQDcvn0bAJCYmFhoHUlJSVAqlSU+z+zZs5GZmSkeaWlpJV5DRET0VsifwKSpoxJiy6gEevTogbp162LdunWwtbWFSqVC48aNkZubW6CsiYmJRu75cjIrk70YSV3YsIDykMvlkMvlGqmLiIiI3i5sGa1g9+7dw5UrVzB37lx06tQJLi4uePDgQZHlmzRpgt9//x15eXkF3rOwsICtrS3i4uLUzsfFxcHV1bXUMbm4uBRah7OzM/T19UtdDxEREb2CLaMlYjJawapUqYJ33nkHa9euxbVr13Do0CFMnTq1yPKBgYHIysrCwIEDcerUKSQlJeHbb7/FlStXAADTp0/HkiVLsGXLFly5cgWzZs1CQkICJk2aVOqYpk2bhoMHD2LRokW4evUqNm7ciC+//BJBQUGv/bxERERvNSajJWI3fQXT09PD5s2bMXHiRDRu3BgNGjTAihUr0L59+0LLv/POOzh06BCmT5+Odu3aQV9fHx4eHuIYz4kTJyIzMxPTpk3D7du34erqil27dsHJyanUMTVr1gxbt27F/PnzsWjRItjY2GDhwoWlmrxERERE9DqYjErA19cXly5dUjsnvPTXjvDKXz5NmjTBvn37Cq1LT08PCxYswIIFCwp9397evkB9VlZWBc717du3wCz/l6WkpBT5HhERERWBi96XiN30RERERCQZtowSERERaYkmF6vnovdEREREVDaanHhUSZNRdtMTERERkWTYMkpERESkLSoBkGmoRVPFllEiIiIiIo1iyygRERGRtnDMaImYjBIRERFpjSZ3TqqcySi76YmIiIhIMmwZJSIiItIWdtOXiC2jRERERCQZtoyS1gh6gKAvdRSAVfJzqUNQc6uFDnwo/++2p7HUIYjM0nVr0+UsR01tJv36DLN050e1XtcWUoegxjBLd75OSiOpI/iX17m+UoegJt79J6lDAABkPVKhSkXfVCVAY2M9ubQTEREREZFm6c6f20RERESVjaB6cWiqrkqIySgRERGRtnACU4nYTU9EREREkmHLKBEREZG2cAJTidgySkRERESSYcsoERERkbZwzGiJmIwSERERaYsADSajmqlG17CbnoiIiIgkw5ZRIiIiIm1hN32J2DJKRERERJJhMlqJBQcHw8PDQ3zt7++P3r17SxYPERHRW0el0uxRCbGb/i0SGRkJ4aUm/vbt28PDwwMRERHSBUVERERvNbaMvkUsLS1hZWUldRhERERvj/wxo5o6tOT+/fsYPHgwLCwsYGVlhYCAAGRnZ5d4XXx8PDp27AgzMzNYWFigbdu2ePr0aZnuzWRUIo8fP8bQoUOhUChgY2ODZcuWoX379pg8eTIAQCaTYceOHWrXWFlZITo6Wnw9c+ZMODs7w9TUFA4ODpg3bx7y8vKKvOfL3fT+/v44cuQIIiMjIZPJIJPJcOPGDdSvXx9hYWFq1yUkJEAmk+HatWuaeHQiIqK3xxuSjA4ePBgXL17EgQMHsHv3bvz2228YPXp0sdfEx8ejS5cu6Ny5M06cOIGTJ08iMDAQenplSy/ZTS+R6dOn48iRI9i5cydq1KiBTz75BGfOnFEb41kSc3NzREdHw9bWFufPn8eoUaNgbm6OGTNmlHhtZGQkrl69isaNG2PhwoUAgOrVq2PEiBGIiopCUFCQWDYqKgpt27ZF/fr1C60rJycHOTk54uusrKxSPwMRERFJKzExETExMTh58iSaN28OAFi5ciW6deuGsLAw2NraFnrdlClTMHHiRMyaNUs816BBgzLfny2jEsjOzsb69esRFhaGTp06wc3NDRs3bsTz58/LVM/cuXPh7e0Ne3t79OjRA0FBQdi6dWuprrW0tISRkRFMTU1hbW0Na2tr6Ovrw9/fH1euXMGJEycAAHl5edi0aRNGjBhRZF2hoaGwtLQUDzs7uzI9BxERUaWlEjR74EWjz8vHyw1C5REfHw8rKysxEQUAX19f6Onp4fjx44Vec/v2bRw/fhw1atSAt7c3atasiXbt2uGPP/4o8/2ZjEogOTkZubm5aNWqlXiuatWqZf5rYsuWLfDx8YG1tTUUCgXmzp2L1NTU14rN1tYW3bt3x4YNGwAAP//8M3JyctCvX78ir5k9ezYyMzPFIy0t7bViICIioqLZ2dmpNQKFhoa+Vn0ZGRmoUaOG2jkDAwNUrVoVGRkZhV5z/fp1AC9W7hk1ahRiYmLQrFkzdOrUCUlJSWW6P5NRHSWTydRmvgNQGw8aHx+PwYMHo1u3bti9ezfOnj2LOXPmIDc397XvPXLkSGzevBlPnz5FVFQUBgwYAFNT0yLLy+VyWFhYqB1EREQECIJKowcApKWlqTUCzZ49u9B7z5o1S5wXUtRx+fLlcj2X6v+XmRozZgyGDx+Opk2bYvny5WjQoIHYoFVaHDMqAUdHRxgaGuL48eOoU6cOAODBgwe4evUq2rVrB+DF+M309HTxmqSkJDx58kR8ffToUdStWxdz5swRz928ebNMcRgZGUGpVBY4361bN5iZmWH16tWIiYnBb7/9VqZ6iYiI6P8J/3ava6QuoNQNP9OmTYO/v3+xZRwcHGBtbY3bt2+rnX/+/Dnu378Pa2vrQq+zsbEBALi6uqqdd3FxKXMvLZNRCSgUCgQEBGD69Ol45513UKNGDcyZM0dt9lnHjh3x5ZdfwsvLC0qlEjNnzoShoaH4vpOTE1JTU7F582a0aNECe/bswfbt28sUh729PY4fP46UlBQoFApUrVoVenp64tjR2bNnw8nJCV5eXhp7diIiIqoY1atXR/Xq1Uss5+XlhYcPH+L06dPw9PQEABw6dAgqlUptSOHL7O3tYWtriytXrqidv3r1Krp27VqmONlNL5GlS5eiTZs26NGjB3x9fdG6dWvxPwAALFu2DHZ2dmjTpg0+/PBDBAUFqXWV9+zZE1OmTEFgYCA8PDxw9OhRzJs3r0wxBAUFQV9fH66urqhevbraXzIBAQHIzc3F8OHDX/9hiYiI3lZvwNJOLi4u6NKlC0aNGoUTJ04gLi4OgYGBGDhwoDiT/u+//0bDhg3FCc4ymQzTp0/HihUr8OOPP+LatWuYN28eLl++jICAgDLdXya8OjCRJKNLOyL9/vvv6NSpE9LS0lCzZs0yXZuVlQVLS0u4jlkMfbmxliIsPYu0sq1SoG23WuhLHYJIfl8mdQgis3Td2ubuobPu/K1uqEOrpVVNLHotYyncbmZYcqEKIujOtzasvG5JHYKaePefpA4BAJD1SIUqzteRmZmp9fkN+b8LO1kOgYHMSCN1PhdycTDzW63Ef//+fQQGBuLnn3+Gnp4e+vbtixUrVkChUAAAUlJSUK9ePRw+fBjt27cXr/v888/x1Vdf4f79+3B3d8cXX3yB1q1bl+ne7KYnNTk5Obhz5w6Cg4PRr1+/MieiRERE9BKVCpBp6I9tQXt/tFetWhWbNm0q8n17e/sCE6uBF5OkXl5ntDx0509/0gnff/896tati4cPH+KLL76QOhwiIqI32xvQTS81tozqkNjYWKlDgL+/f4kz74iIiIg0hckoERERkZYIKhUEDXXTC1rsppcSu+mJiIiISDJsGSUiIiLSFkEAoNlF7ysbtowSERERkWTYMkpERESkLSoBkLFltDhMRomIiIi0RRAAaGqd0cqZjLKbnoiIiIgkw5ZR0rj8HRqUuc8kjuSF53m6tR2o6pnu7BmozNGd7UCVebq1ZInyme78ra6XI3UE/3qep1vbgSpzlFKHINKl7UCVj3XoPw1ebMOpC7KyX8RRkTuhCyoBgoa66SvrDu5MRknjHj16BAC4ErVQ4kh01G6pAyCqRA5IHQCVRhWpA3jFo0ePYGlpKXUY9P+YjJLG2draIi0tDebm5pDJyt/ylpWVBTs7O6SlpcHCwkKDETKWyhoPY3kz4mEsb0Y8lTEWQRDw6NEj2NraajC6km6qgubGjOpGC7OmMRkljdPT00Pt2rU1Vp+FhYXkPwjzMZai6VI8jKVouhQPYymaLsVT2WKp6BZRdtOXTHcGRRERERHRW4cto0RERETawm76EjEZJZ0ll8uxYMECyOVyqUNhLMXQpXgYS9F0KR7GUjRdioexaMZz5GlsN9Dn0K3VLDRFJlTWAQhEREREEnn27Bnq1auHjIwMjdZrbW2NGzduwNjYWKP1SonJKBEREZEWPHv2DLm5uRqt08jIqFIlogCTUSIiIiKSEGfTExEREZFkmIwSERERkWSYjJLOWLBgAW7evCl1GACAqKgoPHnyROowdE5eXh5GjBiBGzduSB2KzsrNzcWVK1fw/PlzqUNBcnIy5s6di0GDBuH27dsAgF9++QUXL16UODIion9xzCjpDA8PD1y4cAHt2rVDQEAA+vbtK9kyHjVr1sTTp0/Rr18/BAQEwNvbu0Lvv2vXrlKX7dmzpxYjKcjS0hIJCQmoV69ehd63tJRKJc6fP4+6deuiSpWK2xH7yZMnmDBhAjZu3AgAuHr1KhwcHDBhwgTUqlULs2bNqrBYAODIkSPo2rUrfHx88NtvvyExMREODg74/PPPcerUKfz4448VGs/hw4fRoUOHCr3nm+Dp06cQBAGmpqYAgJs3b2L79u1wdXVF586dJY5OWtevX4eDg4PUYVAFYDJKOuXs2bOIiorC999/j+fPn2PgwIEYMWIEWrRoUaFxPH/+HD///DOio6Pxyy+/wMHBAcOHD8ewYcNgbW2t9fvr6al3WshkMrVt4GQymfhvpVKp9XheNmzYMHh4eGDKlCkVet+iTJ48GW5ubggICIBSqUS7du1w9OhRmJqaYvfu3Wjfvn2FxDFp0iTExcUhIiICXbp0wZ9//gkHBwfs3LkTwcHBOHv2bIXEkc/Lywv9+vXD1KlTYW5ujnPnzsHBwQEnTpxAnz598Ndff1VoPHK5HLVr1xa/j+zs7Cr0/rqqc+fO6NOnD8aOHYuHDx+iYcOGMDQ0xN27dxEeHo6PP/5Y6zGsWLGi1GUnTpyoxUjU6enpiY0T//nPfyrdDHJ6iUCkg3Jzc4WffvpJeP/99wVDQ0PBzc1NiIiIEB4+fFjhsWRkZAhhYWGCm5ubYGhoKPTo0UPYsWOHoFQqK+T+Bw4cEJo1aybExMQImZmZQmZmphATEyM0b95c2L9/f4XE8LJFixYJVlZWQt++fYXFixcLkZGRakdFq1WrlnDy5ElBEARh+/btgq2trXDlyhVh7ty5gre3d4XFUadOHSE+Pl4QBEFQKBRCcnKyIAiCkJSUJJibm1dYHPnMzMyE69evF4jnxo0bglwur/B47ty5I4SHhwvu7u6CgYGB0LlzZ2HLli1CTk5OhcZhZWUlVKlSpcSjorzzzjvChQsXBEEQhHXr1glNmjQRlEqlsHXrVqFhw4YVEoO9vX2pjnr16lVIPPnOnj0rTJw4UahevbpgaWkpjB49Wjh+/HiFxkAVgy2jpJNyc3Oxfft2bNiwAYcOHYK3tzf++ecf3Lp1C+vWrcOAAQMqNJ7jx49jw4YN2LhxI2xsbPDgwQNUqVIFUVFRWm95a9y4MdasWYPWrVurnf/9998xevRoJCYmavX+ryque14mk+H69esVGA1gbGyMa9euoXbt2hg9ejRMTU0RERGBGzduwN3dHVlZWRUSh6mpKS5cuAAHBwe1lshz586hbdu2yMzMrJA48tWuXRtbt26Ft7e3Wjzbt29HUFAQkpOTKzSel505c0bsAQGADz/8EAEBAXB3d9f6vfOHUQCAIAj4+OOPsXDhQtSoUUOt3LBhw7QeC/Di/83ly5dRp04d9O/fH40aNcKCBQuQlpaGBg0acOw6XvRU7dq1C9HR0YiJiYGzszNGjBiBIUOGoHr16lKHR5ogcTJMpObUqVPC+PHjhapVqwo2NjbCzJkzhaSkJPH9FStWCDVq1KiQWDIyMoSlS5cKrq6ugrGxsTBw4EDhwIEDgiAIQnZ2tjBjxgyhTp06Wo/D2NhYOH/+fIHz586dE4yNjbV+f11Xp04dYd++fcLz588FOzs7Yffu3YIgCMKFCxcEKyurCoujTZs2wooVKwRBeNESmd8qGRgYKPj5+VVYHPmmTZsmtG7dWkhPTxfMzc2FpKQk4Y8//hAcHByE4ODgCo/nVX///bewYMECQS6XC2ZmZoK+vr7QunVrsZWworzcaiwFNzc3ITIyUkhNTRUsLCyEo0ePCoLw4mdhzZo1JYtLEARBpVIJKpVK0hhe9uzZMyE8PFyQy+WCTCYT5HK5MGTIEOGff/6ROjR6TUxGSWc0btxYMDAwELp16yZs375deP78eYEyd+7cEWQymdZjyR8e0KhRI2H58uXCvXv3CpS5detWhcTSpk0b4b333hMyMjLEcxkZGULnzp2Ftm3bav3+um7BggWCpaWl0LBhQ6FOnTrCs2fPBEEQhPXr1wvvvvtuhcXx+++/CwqFQhg7dqxgbGwsTJo0SXjvvfcEMzMz4dSpUxUWR76cnBxh5MiRgoGBgSCTyQRDQ0NBT09P+Oijjwr93qoIubm5wg8//CB07dpVMDAwEN59911h3bp1QnZ2tnDjxg1h8ODBgouLS4XGJHUy+sMPP4hfG19fX/H84sWLhS5dukgS08aNG4XGjRsLcrlckMvlgpubm/DNN99IEosgCMLJkyeFjz/+WKhSpYpQu3ZtYc6cOcL169eF3377TejUqZPQokULyWIjzWA3PemMRYsWYcSIEahVq5bUoSAgIAAjR46El5dXkWUEQUBqairq1q2r1ViuXbuGDz74AFevXhUnfaSlpcHJyQk7duxA/fr1tXr/wvz111/YtWsXUlNTC2x1Fx4eXuHx/Pjjj0hLS0O/fv1Qu3ZtAC+6Y62srNCrV68KiyM5ORmff/45zp07h+zsbDRr1gwzZ86Em5tbhcXwqtTUVFy4cAHZ2dlo2rQpnJycJIljwoQJ+P777yEIAoYMGYKRI0eicePGamUyMjJga2sLlUpVYXG9PIRBKhkZGUhPT4e7u7s4efHEiROwsLBAw4YNKzSW8PBwzJs3D4GBgfDx8QEA/PHHH/jqq6/w6aefVujExfDwcERFReHKlSvo1q0bRo4ciW7duqlN8Pzrr79gb2+vE0up0WuQNhcm+ldISIjw+PHjAuefPHkihISEVGgsGzduFFvYXpaTkyNs3LixQmMRhBfdZfv27RMnCe3fv1+y7rNff/1VMDU1FVuyPTw8BCsrK8HS0lLo0KGDJDHle/r0qaT3p6J17NhR2LRpU6HfV/ny8vKE2NjYCoxK+pbRfElJSUJMTIzw5MkTQRAEyb6/7e3tC/0ZFx0dLdjb21doLPXr1xcWL15cbDd8Tk6OEB0dXYFRkTawZZR0hr6+PtLT0wtMJLh37x5q1KhRoUsY6VIsuqZly5bo2rUrQkJCxFalGjVqYPDgwejSpUuFLEXzMqVSicWLF2PNmjW4deuWuL7nvHnzYG9vj4CAAK3duyyToywsLLQWR76pU6eWumxFt2D/9ttv8Pb2hoGBgdr558+f4+jRo2jbtm2FxPHqZ/TVV1/ho48+gqWlpdr5ivp87t27h/79++Pw4cOQyWRISkqCg4MDRowYgSpVqmDZsmUVEkc+Y2NjXLhwoUCPS1JSEtzc3PDs2bMKiyUlJQV16tQpsNSdIAhIS0tDnTp1KiwW0i6DkosQVQxBENTWz8x37tw5VK1aVSdi+euvvwr80tKGFStWYPTo0TA2Ni5xDcCKXPcPABITE8VZ0AYGBnj69CkUCgUWLlyIXr16VXgy+tlnn2Hjxo344osvMGrUKPF848aNERERodVk1MrKqtD/J4WpiD9gXl3L9MyZM3j+/DkaNGgA4MVC/Pr6+vD09NR6LK/q0KFDoX/gZWZmokOHDhX2B96rn5G3t3eBFSBK+zXVhClTpsDQ0BCpqalwcXERzw8YMABTp06t8GS0fv362Lp1Kz755BO181u2bKnwIR6Ojo6F/p+5f/8+6tWr91Y3ClQ2TEZJclWqVIFMJoNMJoOzs3OBBd2zs7MxduzYComladOmYiydOnVSa8VRKpW4ceMGunTpovU4li9fjsGDB8PY2BjLly8vspxMJqvwZNTMzEwcJ2pjY4Pk5GQ0atQIAHD37t0KjQUAvvnmG6xduxadOnVS+3/i7u6Oy5cva/Xehw8fFv+dkpKCWbNmwd/fXxxrHB8fj40bNyI0NFSrcRQWT3h4OMzNzbFx40ZxJ6oHDx5g+PDhaNOmTYXE87Ki/sC7d+8ezMzMKiyOlz+jfPkdhBWZhObbv38/9u3bJ451zufk5CTJ9sghISEYMGAAfvvtN3HMaFxcHA4ePIitW7dWaCxFddxmZ2dzAfxKhskoSS4iIgKCIGDEiBEICQlRa3k0MjKCvb19sROJNKl3794AgISEBPj5+UGhUBSIpW/fvlqP4+W933VtH/h3330Xf/zxB1xcXNCtWzdMmzYN58+fx7Zt2/Duu+9WeDx///13oZO4VCoV8vLytHrvdu3aif9euHAhwsPDMWjQIPFcz5494ebmhrVr11bYupX5li1bhv3796ttiVqlShV8+umn6Ny5M6ZNm1YhcfTp0wfAi0TP399fbYtfpVKJP//8s8K32823fv16LF++HElJSQBeJICTJ0/GyJEjKyyGx48fi1uBvuz+/fuSbIfct29fHD9+HMuXL8eOHTsAAC4uLjhx4gSaNm1aITHkD6WQyWSYP3++2uejVCpx/PhxeHh4VEgsVDGYjJLk8n9J16tXD97e3jA0NJQslgULFgAA7O3tMWDAAP71XYjw8HBkZ2cDeNGKkp2dLXbhSTGT3tXVFb///nuBVQ3+r707j4q66v8A/h4UZF8FRQQFxAVZ1VzTEsxdE8wNl8SdTA0BrVQULTUUSqLccCNTNFHzyQ0V8TEUhFg1jN2hBDUQDMgA5/7+4Mc8jANqz+Pc79f4vM7hHLnfOef7Pjk5n7nfez/32LFj3D48gfpZ0B07diiN9+nTh2tx0+DRo0d48OCB0viDBw/wxx9/cMvR8OWSMQY9PT1oaWnJr2loaKB///4Kyyt4CQwMRGhoKJYsWaIwk+3r6wupVIr169dzyTF48GBERkZiw4YNAOoLMJlMhuDgYAwdOpRLhqf17t0bBw8eFOTewH+WUjDGkJmZCQ0NDfk1DQ0NODs7w9/fX6h4RBUE2jhFCGOMsYqKCoU/P+unpfL09GSbN29WGv/ss8/YO++8I0AicTl58iQzMDBgmzdvZtra2mzLli1s3rx5TENDg+txqV27dmUBAQFK4wEBAaxr167ccjSYOXMm69y5M4uOjmZFRUWsqKiIHTt2jFlbW7NZs2Zxz7Nu3TpWWVnJ/b7Nadu2LTt06JDS+KFDh5iJiQm3HJmZmczMzIyNHDmSaWhosHfeeYf16NGDtWvXjuXm5nLL0diTJ0/YL7/8wq5evcquXLmi8MPT7NmzW/S//S0J7aYngmq8a11NTa3JNVvs/9eaqXqxurGxMbKzs9G2bVv5OtbmlJWVqTRLY6ampoiNjVXqVZmZmYlhw4bh3r173LKI1dWrV7F+/XqF/p6BgYEYPnw4twxnzpzBxIkT0aVLF/Tr1w9Afa/InJwcREdHY/To0dyyAEB1dTX8/f2xd+9e+XKF1q1bY+7cudiyZQvXdZpiZGhoiKSkJKVNOdnZ2ejbty/Ky8u5ZamoqEB4eLjC+3fx4sUwNzfnlqFBQkICvLy8cOfOHaU1mzz+HSYtExWjRFBXrlzBoEGD0Lp1a1y5cuWZr228Pk8VDhw4gKlTp6JNmzbYv3//M4tRnuv/tLS0kJaWJt8R3eD27dtwdXXFn3/+yS0LgGYLdYlEAk1NTXTp0gWzZ8+Gt7c311xiUFRUhO3bt8s3TvXo0QOLFi2SH1YghKqqKvk59La2tlyL0F69euHSpUswMjKSbw5sTkpKCrdcQH0TfnV1daWlJf7+/vjzzz/x1VdfcckhlUphaWnZ5H8bqVTKvX2Ri4sLunbtiqCgIJibmyvlUnU3EU9PT+zfvx/6+vry9cbNOX78uEqzEH5ozSgRVOMCU9XF5vM0LjBnz54tXJCnODo64siRIwgMDFQYj4qKgr29Pfc8gYGB+PTTTzFq1Cj07dsXQP0M4Llz57B48WIUFBTAx8cHdXV1gqwFFJKlpSU2btwodAwFOjo6cHJyEuTeb7/9tnwTTsPmQDHZs2cPYmJi5BvvEhMTIZVKMWvWLIV+pKpcC21tbd1sT2Mh2hfl5OTg2LFjgpzsBtQXuw0FMI82ekQcaGaUCCojI+OFX6vqD1SxNTBv8K9//Quenp7w8vKCm5sbAODSpUs4fPgwvvvuO+4f8hMnTsRbb72l1G5r586diImJQXR0NL788kvs2rULmZmZKsnwvGUUjalySUVGRgYcHBygpqb23Pcyj4KQZpVe3ItuDpJIJIiNjVVZDjU1Ndy7dw+mpqYK43fu3IG9vT2qqqpUdu+muLm5YcWKFVxa2BHSgGZGiaBcXFwgkUia7UHYmKpnCMTWwLzBuHHjcPLkSWzcuBHHjh2DlpYWnJyccPHiRUFmk8+fP4/PPvtMadzd3V3eLmj06NH48MMPVZbhiy++kP+5tLQUn3zyCUaMGKGwK/r8+fNYs2aNyjIA9e/fkpISmJmZKbyXn8ZrrZ2YZ5WKioogkUjk/TRv3LiBQ4cOwd7eHgsWLOCep6l+ozw1bl+0Zs0aQdsXNf4itWTJEvj5+aGkpASOjo5K3U2EmmUn/2w0M0oE1bipc2pqKvz9/REQEKBQVISEhCA4OFjlM4CN16w+r4E5756RYmJlZQVfX1/4+voqjH/++ef4/PPPIZVKkZGRgeHDh6OkpETleSZOnIihQ4fi/fffVxgPDw/HxYsX5b0SVeHOnTuwsrKCRCJ5boPyp1tPtTSDBw/GggULMHPmTJSUlKBr165wcHBATk4OlixZorQM5Z+uYWb2ypUrGDBggFL7os6dO8Pf35/LqUcNm0ebKwcaTxio+kvV89YWN8Z7nTFRHSpGiWj07dsX69atU9p1fObMGaxZswY//fQTtyzu7u6YN2+eQgNzADh06BB27dqFuLg4blnEZvfu3fDx8cHo0aPla0aTkpJw5swZ7NixA3PnzkVISAhu3LiBI0eOqDyPrq4u0tLSlNa45ebmwsXFRd4TVUgvMvP/st2+fRvdu3dv8tr58+cxYsQIrnmMjIyQkJCAbt26ISwsDEeOHEF8fDxiYmKwaNEipSM5Wwpvb29s27aN69Kfp/2dk55U/aUqKCjohV/b0Bea/ANwbyZFSDM0NTXZzz//rDT+888/M01NTa5ZtLS0WHZ2ttL4L7/8wrS0tLhmqaurY1u2bGGvvfYaa9euHTMyMlL4EcKPP/7Ipk6dylxdXZmrqyubOnUqi4+PFySLlZUV27p1q9L41q1bmZWVFbcc7777bpN9NAsKCtjrr7/OLUcDLS0tFh4erjD2+PFjtnjxYtamTRvueXR0dFhBQQFjjLFx48bJe+feuXOH+//fhBBxoTWjRDR69OiBTZs2ISIiQv7IqqamBps2bUKPHj24ZrG0tMTu3bsRHBysMB4REcG9TU9QUBAiIiLg5+eH1atXY9WqVSgsLMTJkycFe7Q5aNAg+bnVQgsKCsK8efMQFxcn7++ZmJiIc+fOYffu3dxypKenw8nJCQcPHpQv7Thw4ACWLl0q33jG0/79++Hj44PTp09j3759KC4uhpeXF2QyGa5evco9T8+ePbFjxw6MGTMGFy5ckJ84dPfuXZiYmHDPIybJyck4evQopFIpampqFK4JsdEsLy8PX3zxBbKysgDUn3K2bNky2Nracs9CWgihq2FCGiQmJjIzMzNmamrK3N3dmbu7OzM1NWVmZmYsMTGRa5bTp08zTU1N5uDgwObOncvmzp3LHB0dmaamJjt9+jTXLDY2NuyHH35gjDGmq6srP5Vl27ZtbNq0aVyzMFY/k/WsHyEkJCQwLy8v+Uytl5cXS0hI4JqhpqaG+fv7Mw0NDfbRRx+xSZMmMV1dXbZr1y6uORorKipiw4YNYyYmJkxTU5MtWrSIVVVVCZLl8uXLzNDQkKmpqTFvb2/5+EcffcQ8PDwEySQGhw8fZurq6mzs2LFMQ0ODjR07lnXt2pUZGBiw2bNnc89z7tw5pqGhwfr27ct8fX2Zr68v69u3L2vTpg3XE80YE+dTIaIaVIwSUamsrGQ7d+6U/yO4a9cuwY4QlEql8g9KDw8P9vHHHzOpVMo9h7a2trzIa9++Pfvpp58YY4zl5eUxfX197nkkEglTU1Nr9qelCwwMZBKJhKmrq7Nr164JmqWoqIgNGTKEGRoaMnV1dRYUFMSePHkiWJ66ujpWVlamMFZQUMDu3bsnUCLhOTo6ypdT6Orqsry8PCaTydj8+fNZYGAg9zwuLi5s5cqVSuMrV65krq6uXLOsWbOGmZubs61btzJNTU22YcMGNnfuXGZiYsK2bdvGNQtRLSpGCRG5rl27ymf5Bg0axDZt2sQYYywqKoqZmppyz5OWlqbwk5SUxHbt2sW6d+/OoqOjuWRofF51RUXFM394qampYcuXL2dt2rRhH3/8MRsyZAhr374995n0BocPH2aGhoZs3Lhx7P79+ywmJoZZWFiwgQMHsry8PEEyEWXa2trytbTGxsYsIyODMVa/Vr59+/bc87Rp06bZ9fK81xqL7akQUR1aM0oEderUKYwaNQrq6uo4derUM187fvx4lWYRWwPzBh4eHrh06RL69euHJUuWYMaMGdizZw+kUqlSeyUenJ2dlcb69OmDDh06YMuWLc9ttv4yGBkZyU+taa4/LOPUiqZBnz59UF1djbi4OPTv3x+MMQQHB8PT0xNz5szB119/zSVHg7lz52Lr1q3w8fEBALz11lvIyMjAokWL4OLi8rcOeXgZ7t27B39/f1y6dAn3799XaiPUUs88NzIywh9//AEAsLCwwM2bN+Ho6Ijy8nJUV1dzz2Nqaoq0tDSlllJpaWlKp0SpWkOvU6C+a0ZFRQUAYOzYsSrvIUz4omKUCGrChAnypuHP6iPKo6gQWwPzBps3b5b/ecqUKejUqROuXbsGOzs7jBs3jluO5+nWrRuSkpK43Cs2NhbGxsYAhG9e3qBPnz4ICwuTn/0ukUiwcuVKDB8+HDNnzuSeJyUlBd26dVMYMzY2xtGjR/HNN99wzzN79mxIpVKsWbOmyTPPW6ohQ4bgwoULcHR0xKRJk7Bs2TLExsbiwoULcHd3555n/vz5WLBgAfLz8zFw4EAAQHx8PD777DOFI1J56NixI4qLi2FlZQVbW1vExMSgV69eSEpKkh8zS/4ZqM8oIf+PGpi/mKdn1BhjKC4uxrp163D79m2kpaVxy1JXV4eNGzdizpw58pN9xOivv/4S7MPzp59+UtgV3atXL0Fy6Onp4erVq9xOFXpVlJWV4fHjx+jQoQNkMhmCg4PlXzZXr14NIyMjrnkYY/jiiy8QEhKCu3fvAgA6dOiAgIAALF26lOuXiA8//BD6+vr4+OOPceTIEcyYMQOdO3eWPxVq/EWdvNqoGCWE/C0Np7U0xhiDpaUloqKi5G2NeNHT00NmZiY6d+7M9b5NuXLlCrZu3apQ/AUEBGDw4MHcs9y/fx9Tp05FXFwcDA0NAQDl5eUYOnQooqKilM5CVzV7e3t8++23cHV15Xpf8t9rWD6gp6cncJJ6169fx/Xr10X3VIj876gYJaKxdOlSdOnSBUuXLlUYDw8PR25ursJ55Kq2adMmtGvXDnPmzFEY37t3Lx48eICVK1dyyyI2jY9NBeqLU1NTU3Tp0gWtW/Nf+fP222/D09NT8CNaDx48CG9vb3h6esp7sMbHx+PEiRPYv38/vLy8uOaZMmUK8vPzERkZKe/T+/PPP+Pdd99Fly5dcPjwYa55YmJiEBISgp07d4rii4OYyGQy5Obm4v79+5DJZArXhgwZwjVLQUEB6urqlNaM5uTkQF1dnf7uiEpQMUpEw8LCAqdOnULv3r0VxlNSUjB+/Hj8+uuv3LJ07twZhw4dkq+ZapCYmIipU6eioKCAWxbybDt27EBQUBCmT5+O3r17y9dsNlD1xrcGPXr0wIIFC5Q2lYWGhmL37t3y2VJeDAwMcPHiRbz22msK4zdu3MDw4cNRXl7ONY+RkRGqq6tRV1cHbW1tqKurK1wvKyvjmkcsEhIS4OXlhTt37iitUee9Ph0A3njjDcyZM0fpy93BgwcRERHB9SjkyMjIZ16fNWsWpyRE1agYJaKhqamJmzdvNnnGuIODAx4/fsw1S1ZWFqytrRXG8/PzYW9vzzWL2Bw4cABt27bFmDFjAAArVqzArl27YG9vj8OHD3NfT6umptbsNZ4f5m3atMGtW7dE8f4Fml+jmZqaijfeeIP7bvoDBw4887rQM9tCcXFxQdeuXREUFNTkxi4DAwOuefT19ZGSktLk+7hPnz5cv8Q8vV62trYW1dXV0NDQgLa2dov9AvNPRLvpiWh06dIF586dw/vvv68wfvbsWdjY2HDNYmlpifj4eKViND4+Hh06dOCaJSkpCTKZTH7UZYPExES0atUKffr04Zpn48aN2L59O4D6NVzh4eH44osv8MMPP8DX15f78YVPP9YUiqWlJS5duqT0IX7x4kXuR8gCgJubG5YtW4bDhw/L37O//fYbfH19Bdml3VKLzefJycnBsWPHlN43QpFIJPK1oo1VVFRwn6V9+PCh0lhOTg58fHwQEBDANQtRMd6NTQlpzp49e5iWlhYLDAxkcXFxLC4ujq1Zs4Zpa2tzP1Lxs88+YyYmJmzv3r2ssLCQFRYWsj179jATExO2ceNGrllee+019t133ymNR0dHs759+3LNwhhjWlpa8hOhVqxYwWbOnMkYY+zmzZusbdu23POIxddff800NDTYokWLWGRkJIuMjGQLFy5kbdq0YTt27OCeRyqVMhcXF6aurs5sbGyYjY0NU1dXZ66urqyoqIh7HsYYy83NZatWrWJTp06Vn7p05swZdvPmTUHyiMHQoUPZ2bNnhY4hN3bsWDZp0iRWV1cnH6urq2MTJ05kI0eOFDDZfyQlJbFu3boJHYO8RFSMElH5+uuvmYWFBZNIJEwikTBra2t24MAB7jlkMhlbsWIF09TUlB9zqa2tzYKCgrhn0dHRafLEnPz8fKarq8s9j6mpKUtJSWGM1R8dGBkZyRirLzR0dHS452GMsbi4ODZ27Fhma2vLbG1t2bhx49i///1v7jmOHz/OBg0axIyNjZmxsTEbNGgQO3nyJPccDWQyGYuJiWFhYWEsLCyMXbhwQbAscXFxTEtLiw0bNoxpaGjI39ObNm1iEydOFCyXENLT0+U/x48fZ/b29mzfvn0sOTlZ4Vp6ejr3bLdu3WImJibM1taWzZ49m82ePZvZ2toyU1NTlpmZyT1PU1JTU5menp7QMchLRGtGiSg9ePAAWlpa0NXVFTRHZWUlsrKyoKWlBTs7O0F6RZqYmOCHH35Qapl07do1jBkzpslHWao0ffp03L59G66urjh8+DCkUilMTExw6tQpfPzxx7h58ybXPGLbxU6aNmDAAEyaNAnLly+Hnp4e0tPTYWNjgxs3bsDT05PrBkWhNbRHa+7jt+GaEBuYAODu3bsIDw9Heno6tLS04OTkhPfff19+0AQvT5/Kx/6/p3F4eDgsLS1x9uxZrnmI6lAxSojITZs2DcXFxfj+++/lmxnKy8sxYcIEmJmZ4ejRo1zzlJeXY/Xq1SgqKoKPjw9GjhwJAFi7di00NDSwatUqrnnEtotdSGFhYViwYAE0NTURFhb2zNc+3UJN1XR1dZGZmQlra2uFYrSwsBDdu3dvUZsCn3eoRmMt+YCNpzcnSiQSmJqaws3NDSEhITA3NxcoGXnZqBglonLs2DEcPXoUUqkUNTU1CtdSUlK4ZklOTm42C89NOr/99huGDBmC0tJSecPwtLQ0tGvXDhcuXBBkc4yYCLmL3djYGNnZ2Wjbti2MjIyeeToNj52/1tbWSE5OhomJidLmu8YkEgny8/NVnqexjh074ujRoxg4cKBCMXrixAn4+/sjLy+Pax7yHxkZGS/8WicnJxUmIS0V7aYnohEWFoZVq1Zh9uzZ+P777+Ht7Y28vDwkJSVh8eLFXLNERUVh1qxZGDFiBGJiYjB8+HBkZ2fj3r178PDw4JrFwsICGRkZ+Pbbb+WPzby9vTFt2jSlXo0tkZC72D///HP56TQ8D2VoTuP+t2LrhTt16lSsXLkS3333HSQSCWQyGeLj4+Hv79/i+0X+8ssv+PLLL+Wz+D169MCSJUvQrVs3Lvd3cXF55rKBBryXDSxfvvyFXxsaGqrCJETVaGaUiEb37t2xdu1aTJs2TWHmJDAwEGVlZQgPD+eWxcnJCQsXLsTixYvlWaytrbFw4UKYm5sjKCiIWxbybNu3b8cHH3yAOXPmyA8piI+Px/79+7Ft2zYsXLhQ4IQEAGpqarB48WLs378fT548QevWrVFXV4fp06dj//79aNWqldARBREdHY2pU6eiT58+8nXhCQkJSEpKQlRUFCZOnKjyDGJdNjB06FCkpKSgrq5OXphnZ2ejVatW6NWrl/x1EokEsbGx3HKRl4+KUSIa2trayMrKQqdOnWBmZoYLFy7A2dkZOTk56N+/P0pLS7ll0dHRwa1bt9C5c2eYmJggLi4Ojo6OyMrKgpubG4qLi1V6/1OnTmHUqFFQV1dXWsT/NF4nDInZiRMnEBISojCzFBAQgLffflul9/07jeP19fVVmKTeqzCTVFRUhMzMTFRWVsLV1VXp2MmWxtbWFtOnT8f69esVxteuXYuDBw8Ktnzh559/VlqiJJFIuJ4JHxoairi4OBw4cEDeAP/hw4fw9vbG4MGD4efnxy0LUS16TE9Eo3379igrK0OnTp1gZWWFhIQEODs7o6Cg4LmPj142IyMjeeNnCwsL3Lx5E46OjigvL0d1dbXK7z9hwgSUlJTAzMwMEyZMaPZ1Qu22FRsPDw/uyycAwNDQ8JnrRBvj8feUmpqq8Htzs0pPH7mrKs8rjhMSEuR/bqmPWYuLi5tcpjBjxgxs2bKFe578/Hx4eHggMzNT4dF9w/uc5783ISEhiImJUTiJycjICJ988gmGDx9Oxeg/CBWjRDTc3Nxw6tQpuLq6wtvbG76+vjh27BiSk5Ph6enJNcuQIUNw4cIFODo6YtKkSVi2bBliY2Nx4cIFLqfXND5VSCwnDBFlly9flv+5sLAQH374IWbPni1/3Hr9+nUcOHAAmzZt4p4nNDQUenp6zc4q8SC24liM3nzzTVy9elVpzfOPP/7I7e+psWXLlsHa2hqXLl2CtbU1EhMTUVZWBj8/P2zdupVrlkePHuHBgwdK4w8ePGjylCjy6qLH9EQ0ZDIZZDIZWreu/44UFRWFa9euwc7ODgsXLoSGhga3LGVlZXj8+DE6dOgAmUyG4OBgeZbVq1crnZmsKrW1tRg5ciR27Ngh6ONMV1fXF54B5NH14Hk71xvjdX61u7s75s2bh2nTpimMHzp0CLt27UJcXByXHA0sLCwQExODnj17KozfvHkTw4cPx927d7nmoUeuTduxYwcCAwMxefJk9O/fH0D9jPF3332HoKAgheOHeSzJadu2LWJjY+Hk5AQDAwPcuHED3bp1Q2xsLPz8/JS+YKjSrFmzcPXqVYSEhKBv374A6o9BDggIwODBg3HgwAFuWYhqUTFKiMiZmprKC2Gh/J0NW2vXrlVhknp/50OI15no2traSE9PV/p7ys7OhouLC5flHY3p6enhX//6F958802F8cuXL2P8+PHcZ5bEVhyLxdO9NJvDa0mOkZERUlJSYG1tDVtbW0RERGDo0KHIy8uDo6Mj1/dxdXU1/P39sXfvXtTW1gIAWrdujblz52LLli3Q0dHhloWoFj2mJ0TkZsyYgT179mDz5s2CZeBRYP4dvArMv8PS0hK7d+9GcHCwwnhERIQgvWA9PDzg7e3d5KwS72UvAD1ybY7YluE4ODjIu4f069cPwcHB0NDQwK5du2BjY8M1i7a2Nr7++mts2bJFvpHL1taWitB/IJoZJUTklixZgsjISNjZ2aF3795K/xC31I0fjclkMuTm5uL+/ftKH+5DhgzhkuHMmTOYOHEiunTpgn79+gEAbty4gZycHERHR2P06NFccjQQ26wSPXJ9NZw/fx5VVVXw9PREbm4uxo4di+zsbJiYmODIkSNwc3MTOiL5B6JilBCRGzp06DOvN960wsOTJ0/w+eefN3s6Fa81mg0SEhLg5eWFO3fuKHVd4N1t4Ndff8X27dsVWkwtWrRI0FOyqqqqRDGrJLbiWEjPO6q1Md7HtjalrKzsb63TJuTvomKUEPK3BAYGIiIiAn5+fli9ejVWrVqFwsJCnDx5EoGBgdw/PF1cXNC1a1cEBQXB3Nxc6QPTwMCAax7ybGIpjoX0rKNaGxPi2FZChEDFKCHPkJubi7y8PAwZMgRaWlpgjHGfHZgzZw62bdsmP3ayQVVVFZYsWYK9e/dyzWNra4uwsDCMGTMGenp6SEtLk48lJCTg0KFDXPPo6OggPT1dqTUOIYSQVwMVo0RQYmsZ1KC0tBRTpkxBbGwsJBIJcnJyYGNjgzlz5sDIyAghISHcsrRq1QrFxcUwMzNTGP/999/Rvn171NXVccsC1Bd/WVlZsLKygrm5OU6fPo1evXohPz8frq6uqKio4JrHzc0NK1aswMiRI7nelxBCyMtBu+mJoBqfLvT48WN8/fXXsLe3Vzij+datW3jvvfe45vL19UXr1q0hlUrRo0cP+fiUKVOwfPlyLsXoo0ePwBgDYwx//PEHNDU15deePHmCM2fOKBWoPHTs2BHFxcWwsrKCra0tYmJi0KtXLyQlJaFNmzZcMmRkZMj/vGTJEvj5+aGkpASOjo5QV1dXeK2TkxOXTIT8N+bMmfPM67yffBAiBCpGiaAatwyaN28eli5dig0bNii9pqioiGuumJgYnD9/Hh07dlQYt7Ozw507d7hkaDhqUiKRoGvXrkrXJRLJ3+r/+bJ4eHjg0qVL6NevH5YsWSJvPSWVSuHr68slg4uLi8JRhYDih3rDNV4bmBhjKCoqgpmZmcKXBqHU1tZi4cKFWLNmzQuvTyTCePjwocLvtbW1uHnzJsrLy2nnOmkx6DE9EQ0DAwMkJycrNQ3PyclBnz59uD7+1dPTQ0pKCuzs7KCnp4f09HTY2NggOTkZI0aMQGlpqcozXLlyBYwxuLm5ITo6GsbGxvJrGhoa6NSpk8LpLEK5fv06rl+/Djs7O4wbN47LPf/OF4JOnTqpMEk9mUwGTU1N3Lp1S9DDCRozMDBAWloaFaOvIJlMBh8fH9ja2mLFihVCxyFE5WhmlIiGlpYW4uPjlT7M4+Pjuc82DR48GJGRkfJZWolEIj8W9Hmtll6WN954AwBQUFAAKysr0bZVGTBggHxZBS+NC8xNmzahXbt2So879+7diwcPHmDlypUqz6OmpgY7OzuUlpaKphidMGECTp48yW22mrw8ampqWL58Od58800qRkmLQMUoEY0PPvgAPj4+SElJUWiKvXfvXqxZs4ZrluDgYLi7uyM5ORk1NTVYsWIFbt26hbKyMsTHx6v8/hkZGXBwcICamhoqKiqQmZnZ7Gt5r4mMjIx85vVZs2ZxSlJv586dTe7g79mzJ6ZOncqlGAWAzZs3IyAgANu3b4eDgwOXez6LnZ0d1q9fj/j4+CYPSxBD/0rSvLy8PO6bEwkRCj2mJ6Jy9OhRbNu2TaFp+LJlyzB58mTuWSoqKhAeHo709HRUVlaiV69eWLx4MczNzVV+bzU1NZSUlMDMzAxqampK6yMb8G7qDtSfXd1YbW0tqquroaGhAW1tbe5N7zU1NZGVlaX0ODo/Px/29vZ4/PgxlxxGRkaorq5GXV0dNDQ0oKWlpXCd93+XZz2ep/6V4rF8+XKF3xljKC4uxunTp/Huu+8iPDxcoGSE8EMzo0RUJk+eLEjh2RQDAwOsWrVKkHsXFBTA1NRU/mcxeXrDBVC/rtfHxwcBAQHc81haWiI+Pl6p+IqPj+e6pvaLL77gdq8XIbb3DWlaamqqwu9qamowNTVFSEjIc3faE/JPQcUoEZXy8nIcO3YM+fn58Pf3h7GxMVJSUtCuXTtYWFio9N6N2wU9j6ofjTdeE8ljA87/ys7ODps3b8aMGTNw+/ZtrveeP38+PvjgA9TW1sp3H1+6dAkrVqyAn58ftxzvvvsut3uRf47Tp0+DMSZfRtFwmlmnTp3QujV9RJOWgd7pRDQyMjIwbNgwGBgYoLCwEPPmzYOxsTGOHz8OqVT63LWK/6um2gU1hfejcTFs0HkRrVu3xt27d7nfNyAgAKWlpXjvvfdQU1MDoP7R/cqVK/HRRx9xyyGVSp953crKilOSetS/8tUwYcIEeHp6YtGiRSgvL0f//v2hrq6O33//HaGhofDx8RE6IiEqR2tGiWgMGzYMvXr1QnBwsEI7pWvXrsHLywuFhYUqvb/Y2gU16Ny5Mw4dOoSBAwcqjCcmJmLq1KncH8eeOnVK4feGNW7h4eGwtLTE2bNnueZpUFlZiaysLGhpacHOzo5bA/4GDWt7m8N7ba+Hh4fC70/3rzx+/DjXPKRpbdu2xZUrV9CzZ09ERETgyy+/RGpqKqKjoxEYGChfP0/IPxnNjBLRSEpKws6dO5XGLSwsUFJSovL7i/VxeElJSZObpkxNTVFcXMw9T+NTs4D6mWJTU1O4ublxPSb1abq6unjttdcEu//Ta/9qa2uRmpqK0NBQfPrpp9zznDhxQmmscf9KIg7V1dXQ09MDUH/YhqenJ9TU1NC/f39uB2wQIjQqRolotGnTBo8ePVIaz87Olm/mUaVTp05h1KhRUFdXV5r9e9r48eNVnqeBWDboNJDJZNzv+SpwdnZWGuvTpw86dOiALVu2wNPTU4BUiqh/pfh06dIFJ0+ehIeHB86fPy/vC3v//n3o6+sLnI4QPqgYJaIxfvx4rF+/HkePHgVQP+MmlUqxcuVKTJw4UeX3nzBhgryd0tOzf43xXjMqlg065L/TrVs3JCUlCR1DjvpXiktgYCC8vLzg6+sLd3d3+QESMTExcHV1FTgdIXzQmlEiGhUVFXjnnXeQnJyMP/74Ax06dEBJSQkGDBiAM2fOKDXtbikYY/jwww8RFhamtEEnMDCQS4aneyE+S2hoqAqTiNfTs/oNa2nXrVuH27dvIy0tjWse6l/56igpKUFxcTGcnZ2hpqYGALhx4wb09fXRvXt3gdMRonpUjBLRiY+PV2g0P2zYMO4ZIiMjMWXKFKVNMDU1NYiKiuJ+yhAg7Aadp49ATUlJQV1dHbp16wagfilFq1at0Lt3b8TGxnLLJSZNbWBijMHS0hJRUVHcj0x98803FfI09K90c3PDnDlzqG0QIUQ0qBglonH79u1mZwHOnz+PESNGcMvSqlUrFBcXw8zMTGG8tLQUZmZm3HdGi0loaCji4uJw4MAB+WlMDx8+hLe3NwYPHtxilw5cuXJF4feG4q9Lly7cCr/G654JIeRVQcUoEQ1tbW1s2bIFixcvlo/99ddf8PPzQ0REBLdjHYH6QuLevXtKG6fS09MxdOhQ7kc7iomFhQViYmLQs2dPhfGbN29i+PDhgvQaFUqvXr1w6dIlGBkZYf369fD394e2trZgeVq1aoWSkhKYmpo2+4WKEELEhp7TENHYv38/fHx8cPr0aezbtw/FxcXw8vKCTCbD1atXuWRwdXWFRCKBRCKBu7u7wozWkydPUFBQgJEjR3LJIlaPHj3CgwcPlMYfPHiAP/74Q4BEwsnKykJVVRWMjIwQFBQEHx8fQYtRU1NTJCQkYNy4cWCMPbPvKSGEiAUVo0Q0Jk+ejIEDB8Lb2xs9e/ZEVVUVZs+ejZCQEG4f8A276NPS0jBixAjo6urKr2loaKBz585cdvaLmYeHB7y9vRESEoK+ffsCqG/AHxAQIIr2RTy5uLjA29sbr7/+Ohhj2LJli8J7pjEem80WLVqEt99+W/6Fqn379s2+tiUvNSGEiAs9piei8uuvv2L69OnIyMhAVVUVVq9ejdWrV8t3mPJy4MABTJkyBZqamlzv+yqorq6Gv78/9u7di9raWgD1R4HOnTsXW7ZsaVFdD3755ResXbsWeXl5SElJgb29fZPrQyUSCVJSUrhkun37NnJzczF+/Hjs27cPhoaGTb7u7bff5pKHEEKeh4pRIhpRUVHw8fHB4MGDsWfPHqSlpcHb2xudOnXCN998AxsbG6EjkkaqqqqQl5cHALC1tW1RRWhT1NTU5H1qxSAoKAgBAQGCLhsghJAXQcUoEQ0dHR1s3boVPj4+8rGHDx9i4cKFOHfuXJOnM6nKkydP8Pnnn+Po0aOQSqXy/p4NWvIGJkIIIeRlojWjRDRSUlLkfSsbGBkZ4ejRo/jmm2+4ZgkKCkJERAT8/PywevVqrFq1CoWFhTh58iS3RvNi4unpif3790NfX/+560KPHz/OKZXwnndsbGM8jpBt2ID3IngtGyCEkOehYpSIxtOFaGMzZ87kmAT49ttvsXv3bowZMwbr1q3DtGnTYGtrCycnJyQkJGDp0qVc8wjNwMBAXuQYGBgInEY8nnVsbGO8jpB90TyEECIm9JieCGr58uXYsGEDdHR0nnvkJM9jJnV0dJCVlQUrKyuYm5vj9OnT6NWrF/Lz8+Hq6oqKigpuWQghhJB/MpoZJYJKTU2V78hOSUlp9hEj736JHTt2RHFxMaysrGBra4uYmBj06tULSUlJXI/hFKM///wTjDH5xpg7d+7gxIkTsLe3x/DhwwVORwgh5FVDM6NEUBkZGXBwcODeuul5PvzwQ+jr6+Pjjz/GkSNHMGPGDHTu3BlSqRS+vr7YvHmz0BEFM3z4cHh6emLRokUoLy9Ht27doKGhgd9//x2hoaEKG9BakvXr1z/zOu+1xmpqas/8Ekd9RgkhYkHFKBFU4yMLbWxskJSUBBMTE6FjKbl+/TquX78OOzs7jBs3Tug4gmrbti2uXLmCnj17IiIiAl9++SVSU1MRHR2NwMBAZGVlCR1REK6urgq/19bWoqCgAK1bt4atrS33DUPff/+9Up7U1FQcOHAAQUFBmDt3Ltc8hBDSHHpMTwRlaGiIgoICmJmZobCwEDKZTOhITRowYAAGDBggdAxRqK6uhp6eHgAgJiYGnp6eUFNTQ//+/XHnzh2B0wknNTVVaezRo0eYPXs2PDw8uOdpqqn9O++8g549e+LIkSNUjBJCRINmRomgFixYgMjISJibm0MqlaJjx45o1apVk6/Nz89XaRaxtekRKycnJ8ybNw8eHh5wcHDAuXPnMGDAAPz0008YM2YMSkpKhI4oKpmZmRg3bhwKCwuFjgKg/v8jJycnVFZWCh2FEEIA0MwoEdiuXbvg6emJ3NxcLF26FPPnz5fPuvEmtjY9YhUYGAgvLy/4+vrCzc1NPmMcExOj9KiaABUVFaLpvvDnn38iLCwMFhYWQkchhBA5mhklouHt7Y2wsDDBilHy4kpKSlBcXAxnZ2f55rMbN25AX18f3bt3FzidMMLCwhR+Z4yhuLgY33zzDd544w0cOnSIax4jIyOFDUyMMfzxxx/Q1tbGwYMHW/TsPiFEXKgYJYT8V3Jzc5GXl4chQ4ZAS0sLjDHuLbjExNraWuF3NTU1mJqaws3NDR999BH3L1n79+9X+PtoyNOvXz8YGRlxzUIIIc9CxSghzbhy5Qq2bt0q3x1ub2+PgIAADB48WOBkwiotLcXkyZNx+fJlSCQS5OTkwMbGBnPmzIGRkRFCQkKEjkgIIeQVIq7mjoSIxMGDBzFs2DBoa2tj6dKlWLp0KbS0tODu7s79cavY+Pr6Ql1dHVKpVN74HgCmTJmCc+fOCZhMXB49eoSTJ08K1urq3Llz+PHHH+W/f/XVV3BxcYGXlxcePnwoSCZCCGkKzYwS0oQePXpgwYIF8PX1VRgPDQ3F7t27W2wvTQBo3749zp8/D2dnZ+jp6SE9PR02NjYtfpf25MmTMWTIELz//vv4888/4ezsjMLCQjDGEBUVhYkTJ3LN4+joiM8++wyjR49GZmYm+vTpAz8/P1y+fBndu3fHvn37uOYhhJDm0MwoIU3Iz89vsrn9+PHjUVBQIEAi8aiqqlKYEW1QVlbWoo9K/fe//y1fwnHixAkwxlBeXo6wsDB88skn3PMUFBTA3t4eABAdHY1x48Zh48aN+Oqrr3D27FnueQghpDlUjBLSBEtLS1y6dElp/OLFi7C0tBQgkXgMHjwYkZGR8t8lEglkMhmCg4MxdOhQAZMJq6KiAsbGxgDqH5FPnDgR2traGDNmDHJycrjn0dDQQHV1NYD69+3w4cMBAMbGxnj06BH3PIQQ0hzqM0pIE/z8/LB06VKkpaVh4MCBAID4+Hjs378f27ZtEzidsIKDg+Hu7o7k5GTU1NRgxYoVuHXrFsrKyhAfHy90PMFYWlri+vXrMDY2xrlz5xAVFQUAePjwITQ1Nbnnef3117F8+XIMGjQIN27cwJEjRwAA2dnZ6NixI/c8hBDSHCpGCWmCj48P2rdvj5CQEBw9ehRA/TrSI0eONHnMYkvi4OCA7OxshIeHQ09PD5WVlfD09MTixYthbm4udDzBfPDBB5g+fTp0dXXRqVMnvPnmmwDqH987OjpyzxMeHo733nsPx44dw/bt2+WN7s+ePYuRI0dyz0MIIc2hDUyEkBdWW1uLkSNHYseOHbCzsxM6juj89NNPkEqleOutt6CrqwsAOH36NAwNDTFo0CCB0xFCiDhRMUpIE+bNm4cZM2bIZ7fIf5iamuLatWtUjBJCCHkpaAMTIU148OABRo4cCUtLSwQEBCAtLU3oSKIxY8YM7NmzR+gYhBBC/iFoZpSQZjx8+BDfffcdDh06hKtXr6J79+6YPn06vLy80LlzZ6HjCWbJkiWIjIyEnZ0devfuDR0dHYXroaGhAiUjhBDyKqJilJAX8Ouvv+Lw4cPYu3cvcnJyUFdXJ3QkwTyrfZNEIkFsbCzHNIQQQl51tJuekOeora1FcnIyEhMTUVhYiHbt2gkdSVCXL18WOgIhhJB/ECpGCWnG5cuXcejQIURHR0Mmk8HT0xM//PAD3NzchI5GROrq1avYuXMn8vLycOzYMVhYWOCbb76BtbU1Xn/9dZXf39PT84Vfe/z4cRUmIYSQF0fFKCFNsLCwQFlZGUaOHIldu3Zh3LhxLfqoS/J80dHRmDlzJqZPn47U1FT89ddfAOpPZtq4cSPOnDmj8gwGBgYqvwchhLxstGaUkCbs3r0bkyZNgqGhodBRyCvC1dUVvr6+mDVrFvT09JCeng4bGxukpqZi1KhRKCkpEToiIYSIEs2MEtKE+fPnCx2BvGJ++eUXDBkyRGncwMAA5eXl/AMRQsgrgopRQgh5Cdq3b4/c3Fyltl8//vgjbGxsBMl07NgxHD16FFKpFDU1NQrXUlJSBMlECCFPo6b3hBDyEsyfPx/Lli1DYmIiJBIJ7t69i2+//Rb+/v7w8fHhnicsLAze3t5o164dUlNT0bdvX5iYmCA/Px+jRo3inocQQppDa0YJIeQlYIxh48aN2LRpE6qrqwEAbdq0gb+/PzZs2MA9T/fu3bF27VpMmzZNYQ1rYGAgysrKEB4ezj0TIYQ0hYpRQgh5iWpqapCbm4vKykrY29tDV1dXkBza2trIyspCp06dYGZmhgsXLsDZ2Rk5OTno378/SktLBclFCCFPo8f0hBDyEkmlUhQVFcHR0RG6uroQ6vt++/btUVZWBgCwsrJCQkICAKCgoECwTIQQ0hQqRgkh5CUoLS2Fu7s7unbtitGjR6O4uBgAMHfuXPj5+XHP4+bmhlOnTgEAvL294evri7feegtTpkyBh4cH9zyEENIcekxPCCEvwaxZs3D//n1ERESgR48e8jWa58+fx/Lly3Hr1i2ueWQyGWQyGVq3rm+aEhUVhWvXrsHOzg4LFy6EhoYG1zyEENIcKkYJIeQlaN++Pc6fPw9nZ2eFDUP5+flwcnJCZWUl1zxSqRSWlpaQSCQK44wxFBUVwcrKimseQghpDj2mJ4SQl6Cqqgra2tpK42VlZYIcJWttbY0HDx40mcfa2pp7HkIIaQ4Vo4QQ8hIMHjwYkZGR8t8lEglkMhmCg4MxdOhQ7nkYY0qzogBQWVkJTU1N7nkIIaQ5dAITIYS8BMHBwXB3d0dycjJqamqwYsUK3Lp1C2VlZYiPj+eWY/ny5QDqi+E1a9YozNY+efIEiYmJcHFx4ZaHEEKeh4pRQgh5CRwcHJCdnY3w8HDo6emhsrISnp6eWLx4MczNzbnlSE1NBVA/M5qZmamwUUlDQwPOzs7w9/fnlocQQp6HNjARQsj/qLa2FiNHjsSOHTtgZ2cndBwA9e2ctm3bBn19faGjEELIM1ExSgghL4Gpqam8dZLY/PrrrwCAjh07CpyEEEKU0QYmQgh5CWbMmIE9e/YIHUNOJpNh/fr1MDAwQKdOndCpUycYGhpiw4YNkMlkQscjhBA5WjNKCCEvQV1dHfbu3YuLFy+id+/e0NHRUbgeGhrKNc+qVauwZ88ebN68GYMGDQIA/Pjjj1i3bh0eP36MTz/9lGseQghpDj2mJ4SQl+BZ7ZskEgliY2M5pgE6dOiAHTt2YPz48Qrj33//Pd577z389ttvXPMQQkhzaGaUEEL+SxkZGXBwcICamhouX74sdBwFZWVl6N69u9J49+7dUVZWJkAiQghpGq0ZJYSQ/5Krqyt+//13AICNjQ1KS0sFTvQfzs7OCA8PVxoPDw+Hs7OzAIkIIaRpNDNKCCH/JUNDQxQUFMDMzAyFhYWi2hgUHByMMWPG4OLFixgwYAAA4Pr16ygqKsKZM2cETkcIIf9Ba0YJIeS/tGDBAkRGRsLc3BxSqRQdO3ZEq1atmnxtfn4+53TA3bt38dVXX+H27dsAgB49euC9995Dhw4duGchhJDmUDFKCCH/g3PnziE3NxdLly7F+vXroaen1+Trli1bxjWXVCqFpaVlk+fTS6VSWFlZcc1DCCHNoWKUEEJeAm9vb4SFhTVbjPLWqlUrFBcXw8zMTGG8tLQUZmZmePLkiUDJCCFEEa0ZJYSQl2Dfvn1CR1DAGGtyVrSyshKampoCJCKEkKZRMUoIIf8gy5cvB1Df23TNmjXQ1taWX3vy5AkSExPh4uIiUDpCCFFGxSghhPyDpKamAqifGc3MzISGhob8moaGBpydneHv7y9UPEIIUUJrRgkh5B/I29sb27Ztg76+vtBRCCHkmagYJYQQQgghgqETmAghhBBCiGCoGCWEEEIIIYKhYpQQQgghhAiGilFCCCGEECIYKkYJIYQQQohgqBglhBBCCCGCoWKUEEIIIYQIhopRQgghhBAimP8D+BYEPSBjrDQAAAAASUVORK5CYII=\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "id": "NHQPRTdLZI9R", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "4668bfaa-bb2f-4e5a-abd1-a13f5b96f8ad" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Saved merged file to: /content/outputs/wine_quality_merged.csv\n", + "Reloaded shape: (6497, 13)\n" + ] + } + ], + "source": [ + "# ---------- 6) Save ----------\n", + "OUT_DIR = Path(\"./outputs\")\n", + "OUT_DIR.mkdir(parents=True, exist_ok=True)\n", + "out_file = OUT_DIR / \"wine_quality_merged.csv\"\n", + "df.to_csv(out_file, index=False)\n", + "print(f\"\\nSaved merged file to: {out_file.resolve()}\")\n", + "\n", + "# Quick verification of saved file\n", + "df_check = pd.read_csv(out_file)\n", + "print(\"Reloaded shape:\", df_check.shape)\n" + ] + } + ] +} \ No newline at end of file diff --git a/a0.1/Projects/P.01/assignment_10_project_01_01_02_dataset___nexus___rsayyareh.py b/a0.1/Projects/P.01/assignment_10_project_01_01_02_dataset___nexus___rsayyareh.py new file mode 100644 index 0000000..3f9550f --- /dev/null +++ b/a0.1/Projects/P.01/assignment_10_project_01_01_02_dataset___nexus___rsayyareh.py @@ -0,0 +1,160 @@ +#!/usr/bin/env python +# coding: utf-8 + +# # 🍷 Mini-Project: Merge & Explore the Wine Quality Datasets +# +# +# > **Goal: Merge Wine Quality – Red and Wine Quality – White (UCI) into a single dataset, do a careful first-look exploration, and save the merged file to CSV.** +# +#

    📢⚠️📂

    +# +#

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    +# +#

    🚨📝🧠

    + +# In[2]: + + +# === Requirements === +# pip install pandas matplotlib + +import pandas as pd +import numpy as np +import matplotlib.pyplot as plt +from pathlib import Path + + +# In[3]: + + +# ---------- 1) Load ---------- +URL_RED = "https://archive.ics.uci.edu/ml/machine-learning-databases/wine-quality/winequality-red.csv" +URL_WHITE = "https://archive.ics.uci.edu/ml/machine-learning-databases/wine-quality/winequality-white.csv" + +red = pd.read_csv(URL_RED, sep=";") +white = pd.read_csv(URL_WHITE, sep=";") + + +# In[4]: + + +# ---------- 2) Sanity checks ---------- +print("Red shape:", red.shape, "White shape:", white.shape) +print("Columns equal? ->", list(red.columns) == list(white.columns)) +print("Columns:", list(red.columns)) + + +# In[5]: + + +# (Optional) strict schema assertion (search and read about assert in Python) +assert list(red.columns) == list(white.columns), "Column mismatch between red and white datasets." + + +# In[13]: + + +# ---------- 3) Tag source & merge ---------- +red["type"] = "red" +white["type"] = "white" + +df = pd.concat([red, white], ignore_index=True) +print("\nMerged shape:", df.shape) + + +# In[ ]: + + +# ---------- 4) Basic exploration ---------- +print("\nDtypes:\n", df.dtypes) +print("\nMissing values per column:\n", df.isnull().sum().sort_values(ascending=False)) +print("\nHead:\n", df.head()) + + +# In[15]: + + +# Uniqueness & duplicates +dup_count = df.duplicated().unique() +print("\nDuplicate rows:", dup_count) + +# Descriptive statistics (numeric) +num_cols = df.select_dtypes(include=[np.number]).columns +print("\nNumeric summary:\n", df[num_cols].describe().T) + +# Target distributions +print("\nQuality distribution (overall):\n", df["quality"].count()) +print("\nQuality distribution by type:\n", df.groupby("type")["quality"].count().sort_index()) + + +# In[21]: + + +# ---------- 5) A few simple visuals (optional for report) ---------- +# Histograms of numeric features (quick feel for ranges & skew) +top_vars = df.columns +n = min(4, len(top_vars)) + + +fig, axes = plt.subplots(1, 4, figsize=(16, 3), sharey=True) + +for i, ax in enumerate(axes): + if i < n: + col = top_vars[i] + ax.hist(df[col].dropna(), bins=30) + ax.set_title(f"Histogram: {col}") + ax.set_xlabel(col) + if i == 0: + ax.set_ylabel("Count") + else: + ax.set_ylabel("") + else: + ax.axis("off") # hide unused panels if top_vars has < 4 + +plt.tight_layout() +plt.show() + + +# In[22]: + + +# Boxplot of quality by type (class distribution spread) +plt.figure() +df.boxplot(column="quality", by="type") +plt.suptitle("") +plt.title("Quality by Wine Type") +plt.xlabel("Type") +plt.ylabel("Quality") +plt.tight_layout() +plt.show() + + +# In[23]: + + +# Correlation heatmap (numeric only) +corr = df[num_cols].corr() +plt.figure(figsize=(7, 6)) +plt.imshow(corr, interpolation="nearest") +plt.title("Correlation Heatmap") +plt.colorbar() +plt.xticks(range(len(num_cols)), num_cols, rotation=90) +plt.yticks(range(len(num_cols)), num_cols) +plt.tight_layout() +plt.show() + + +# In[24]: + + +# ---------- 6) Save ---------- +OUT_DIR = Path("./outputs") +OUT_DIR.mkdir(parents=True, exist_ok=True) +out_file = OUT_DIR / "wine_quality_merged.csv" +df.to_csv(out_file, index=False) +print(f"\nSaved merged file to: {out_file.resolve()}") + +# Quick verification of saved file +df_check = pd.read_csv(out_file) +print("Reloaded shape:", df_check.shape) + diff --git a/a0.1/Projects/P.02/Project2_rsayyareh.ipynb b/a0.1/Projects/P.02/Project2_rsayyareh.ipynb new file mode 100644 index 0000000..3fd60c4 --- /dev/null +++ b/a0.1/Projects/P.02/Project2_rsayyareh.ipynb @@ -0,0 +1,3544 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "h6pr9RxJiBKU" + }, + "source": [ + "# 🏠 Mini-Project: Preprocess & Engineer Features on Ames Housing Dataset\n", + "\n", + "> **Goal: Work with the [Ames Housing dataset](https://www.kaggle.com/datasets/prevek18/ames-housing-dataset?select=AmesHousing.csv) to perform data preprocessing and create meaningful new features. You will:**\n", + "> - Handle **missing values**, **duplicates**, and **outliers** \n", + "> - Detect and fix **skewness** in numerical features \n", + "> - Encode categorical variables into numeric formats \n", + "> - Create **non-linear features** (e.g., polynomial, log, interaction terms) from existing variables \n", + "> - Save the cleaned and enriched dataset into a new CSV file \n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project2_rezashokrzad.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7CksOccRjV4s" + }, + "source": [ + "## 🔹 Step 1: Load the Dataset\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Nlz-ZiyHgmQb", + "outputId": "a51aba43-8ab5-4793-e96b-45e1152a2ca5" + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\Parastoo\\AppData\\Local\\Temp\\ipykernel_15072\\1234441213.py:15: DeprecationWarning: Use dataset_load() instead of load_dataset(). load_dataset() will be removed in a future version.\n", + " df1 = kagglehub.load_dataset(\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "First 5 records: Order PID MS SubClass MS Zoning Lot Frontage Lot Area Street \\\n", + "0 1 526301100 20 RL 141.0 31770 Pave \n", + "1 2 526350040 20 RH 80.0 11622 Pave \n", + "2 3 526351010 20 RL 81.0 14267 Pave \n", + "3 4 526353030 20 RL 93.0 11160 Pave \n", + "4 5 527105010 60 RL 74.0 13830 Pave \n", + "\n", + " Alley Lot Shape Land Contour Utilities Lot Config Land Slope Neighborhood \\\n", + "0 NaN IR1 Lvl AllPub Corner Gtl NAmes \n", + "1 NaN Reg Lvl AllPub Inside Gtl NAmes \n", + "2 NaN IR1 Lvl AllPub Corner Gtl NAmes \n", + "3 NaN Reg Lvl AllPub Corner Gtl NAmes \n", + "4 NaN IR1 Lvl AllPub Inside Gtl Gilbert \n", + "\n", + " Condition 1 Condition 2 Bldg Type House Style Overall Qual Overall Cond \\\n", + "0 Norm Norm 1Fam 1Story 6 5 \n", + "1 Feedr Norm 1Fam 1Story 5 6 \n", + "2 Norm Norm 1Fam 1Story 6 6 \n", + "3 Norm Norm 1Fam 1Story 7 5 \n", + "4 Norm Norm 1Fam 2Story 5 5 \n", + "\n", + " Year Built Year Remod/Add Roof Style Roof Matl Exterior 1st Exterior 2nd \\\n", + "0 1960 1960 Hip CompShg BrkFace Plywood \n", + "1 1961 1961 Gable CompShg VinylSd VinylSd \n", + "2 1958 1958 Hip CompShg Wd Sdng Wd Sdng \n", + "3 1968 1968 Hip CompShg BrkFace BrkFace \n", + "4 1997 1998 Gable CompShg VinylSd VinylSd \n", + "\n", + " Mas Vnr Type Mas Vnr Area Exter Qual Exter Cond Foundation Bsmt Qual \\\n", + "0 Stone 112.0 TA TA CBlock TA \n", + "1 NaN 0.0 TA TA CBlock TA \n", + "2 BrkFace 108.0 TA TA CBlock TA \n", + "3 NaN 0.0 Gd TA CBlock TA \n", + "4 NaN 0.0 TA TA PConc Gd \n", + "\n", + " Bsmt Cond Bsmt Exposure BsmtFin Type 1 BsmtFin SF 1 BsmtFin Type 2 \\\n", + "0 Gd Gd BLQ 639.0 Unf \n", + "1 TA No Rec 468.0 LwQ \n", + "2 TA No ALQ 923.0 Unf \n", + "3 TA No ALQ 1065.0 Unf \n", + "4 TA No GLQ 791.0 Unf \n", + "\n", + " BsmtFin SF 2 Bsmt Unf SF Total Bsmt SF Heating Heating QC Central Air \\\n", + "0 0.0 441.0 1080.0 GasA Fa Y \n", + "1 144.0 270.0 882.0 GasA TA Y \n", + "2 0.0 406.0 1329.0 GasA TA Y \n", + "3 0.0 1045.0 2110.0 GasA Ex Y \n", + "4 0.0 137.0 928.0 GasA Gd Y \n", + "\n", + " Electrical 1st Flr SF 2nd Flr SF Low Qual Fin SF Gr Liv Area \\\n", + "0 SBrkr 1656 0 0 1656 \n", + "1 SBrkr 896 0 0 896 \n", + "2 SBrkr 1329 0 0 1329 \n", + "3 SBrkr 2110 0 0 2110 \n", + "4 SBrkr 928 701 0 1629 \n", + "\n", + " Bsmt Full Bath Bsmt Half Bath Full Bath Half Bath Bedroom AbvGr \\\n", + "0 1.0 0.0 1 0 3 \n", + "1 0.0 0.0 1 0 2 \n", + "2 0.0 0.0 1 1 3 \n", + "3 1.0 0.0 2 1 3 \n", + "4 0.0 0.0 2 1 3 \n", + "\n", + " Kitchen AbvGr Kitchen Qual TotRms AbvGrd Functional Fireplaces \\\n", + "0 1 TA 7 Typ 2 \n", + "1 1 TA 5 Typ 0 \n", + "2 1 Gd 6 Typ 0 \n", + "3 1 Ex 8 Typ 2 \n", + "4 1 TA 6 Typ 1 \n", + "\n", + " Fireplace Qu Garage Type Garage Yr Blt Garage Finish Garage Cars \\\n", + "0 Gd Attchd 1960.0 Fin 2.0 \n", + "1 NaN Attchd 1961.0 Unf 1.0 \n", + "2 NaN Attchd 1958.0 Unf 1.0 \n", + "3 TA Attchd 1968.0 Fin 2.0 \n", + "4 TA Attchd 1997.0 Fin 2.0 \n", + "\n", + " Garage Area Garage Qual Garage Cond Paved Drive Wood Deck SF \\\n", + "0 528.0 TA TA P 210 \n", + "1 730.0 TA TA Y 140 \n", + "2 312.0 TA TA Y 393 \n", + "3 522.0 TA TA Y 0 \n", + "4 482.0 TA TA Y 212 \n", + "\n", + " Open Porch SF Enclosed Porch 3Ssn Porch Screen Porch Pool Area Pool QC \\\n", + "0 62 0 0 0 0 NaN \n", + "1 0 0 0 120 0 NaN \n", + "2 36 0 0 0 0 NaN \n", + "3 0 0 0 0 0 NaN \n", + "4 34 0 0 0 0 NaN \n", + "\n", + " Fence Misc Feature Misc Val Mo Sold Yr Sold Sale Type Sale Condition \\\n", + "0 NaN NaN 0 5 2010 WD Normal \n", + "1 MnPrv NaN 0 6 2010 WD Normal \n", + "2 NaN Gar2 12500 6 2010 WD Normal \n", + "3 NaN NaN 0 4 2010 WD Normal \n", + "4 MnPrv NaN 0 3 2010 WD Normal \n", + "\n", + " SalePrice \n", + "0 215000 \n", + "1 105000 \n", + "2 172000 \n", + "3 244000 \n", + "4 189900 \n", + "Last 5 records: Order PID MS SubClass MS Zoning Lot Frontage Lot Area Street \\\n", + "2925 2926 923275080 80 RL 37.0 7937 Pave \n", + "2926 2927 923276100 20 RL NaN 8885 Pave \n", + "2927 2928 923400125 85 RL 62.0 10441 Pave \n", + "2928 2929 924100070 20 RL 77.0 10010 Pave \n", + "2929 2930 924151050 60 RL 74.0 9627 Pave \n", + "\n", + " Alley Lot Shape Land Contour Utilities Lot Config Land Slope \\\n", + "2925 NaN IR1 Lvl AllPub CulDSac Gtl \n", + "2926 NaN IR1 Low AllPub Inside Mod \n", + "2927 NaN Reg Lvl AllPub Inside Gtl \n", + "2928 NaN Reg Lvl AllPub Inside Mod \n", + "2929 NaN Reg Lvl AllPub Inside Mod \n", + "\n", + " Neighborhood Condition 1 Condition 2 Bldg Type House Style Overall Qual \\\n", + "2925 Mitchel Norm Norm 1Fam SLvl 6 \n", + "2926 Mitchel Norm Norm 1Fam 1Story 5 \n", + "2927 Mitchel Norm Norm 1Fam SFoyer 5 \n", + "2928 Mitchel Norm Norm 1Fam 1Story 5 \n", + "2929 Mitchel Norm Norm 1Fam 2Story 7 \n", + "\n", + " Overall Cond Year Built Year Remod/Add Roof Style Roof Matl \\\n", + "2925 6 1984 1984 Gable CompShg \n", + "2926 5 1983 1983 Gable CompShg \n", + "2927 5 1992 1992 Gable CompShg \n", + "2928 5 1974 1975 Gable CompShg \n", + "2929 5 1993 1994 Gable CompShg \n", + "\n", + " Exterior 1st Exterior 2nd Mas Vnr Type Mas Vnr Area Exter Qual \\\n", + "2925 HdBoard HdBoard NaN 0.0 TA \n", + "2926 HdBoard HdBoard NaN 0.0 TA \n", + "2927 HdBoard Wd Shng NaN 0.0 TA \n", + "2928 HdBoard HdBoard NaN 0.0 TA \n", + "2929 HdBoard HdBoard BrkFace 94.0 TA \n", + "\n", + " Exter Cond Foundation Bsmt Qual Bsmt Cond Bsmt Exposure BsmtFin Type 1 \\\n", + "2925 TA CBlock TA TA Av GLQ \n", + "2926 TA CBlock Gd TA Av BLQ \n", + "2927 TA PConc Gd TA Av GLQ \n", + "2928 TA CBlock Gd TA Av ALQ \n", + "2929 TA PConc Gd TA Av LwQ \n", + "\n", + " BsmtFin SF 1 BsmtFin Type 2 BsmtFin SF 2 Bsmt Unf SF Total Bsmt SF \\\n", + "2925 819.0 Unf 0.0 184.0 1003.0 \n", + "2926 301.0 ALQ 324.0 239.0 864.0 \n", + "2927 337.0 Unf 0.0 575.0 912.0 \n", + "2928 1071.0 LwQ 123.0 195.0 1389.0 \n", + "2929 758.0 Unf 0.0 238.0 996.0 \n", + "\n", + " Heating Heating QC Central Air Electrical 1st Flr SF 2nd Flr SF \\\n", + "2925 GasA TA Y SBrkr 1003 0 \n", + "2926 GasA TA Y SBrkr 902 0 \n", + "2927 GasA TA Y SBrkr 970 0 \n", + "2928 GasA Gd Y SBrkr 1389 0 \n", + "2929 GasA Ex Y SBrkr 996 1004 \n", + "\n", + " Low Qual Fin SF Gr Liv Area Bsmt Full Bath Bsmt Half Bath Full Bath \\\n", + "2925 0 1003 1.0 0.0 1 \n", + "2926 0 902 1.0 0.0 1 \n", + "2927 0 970 0.0 1.0 1 \n", + "2928 0 1389 1.0 0.0 1 \n", + "2929 0 2000 0.0 0.0 2 \n", + "\n", + " Half Bath Bedroom AbvGr Kitchen AbvGr Kitchen Qual TotRms AbvGrd \\\n", + "2925 0 3 1 TA 6 \n", + "2926 0 2 1 TA 5 \n", + "2927 0 3 1 TA 6 \n", + "2928 0 2 1 TA 6 \n", + "2929 1 3 1 TA 9 \n", + "\n", + " Functional Fireplaces Fireplace Qu Garage Type Garage Yr Blt \\\n", + "2925 Typ 0 NaN Detchd 1984.0 \n", + "2926 Typ 0 NaN Attchd 1983.0 \n", + "2927 Typ 0 NaN NaN NaN \n", + "2928 Typ 1 TA Attchd 1975.0 \n", + "2929 Typ 1 TA Attchd 1993.0 \n", + "\n", + " Garage Finish Garage Cars Garage Area Garage Qual Garage Cond \\\n", + "2925 Unf 2.0 588.0 TA TA \n", + "2926 Unf 2.0 484.0 TA TA \n", + "2927 NaN 0.0 0.0 NaN NaN \n", + "2928 RFn 2.0 418.0 TA TA \n", + "2929 Fin 3.0 650.0 TA TA \n", + "\n", + " Paved Drive Wood Deck SF Open Porch SF Enclosed Porch 3Ssn Porch \\\n", + "2925 Y 120 0 0 0 \n", + "2926 Y 164 0 0 0 \n", + "2927 Y 80 32 0 0 \n", + "2928 Y 240 38 0 0 \n", + "2929 Y 190 48 0 0 \n", + "\n", + " Screen Porch Pool Area Pool QC Fence Misc Feature Misc Val Mo Sold \\\n", + "2925 0 0 NaN GdPrv NaN 0 3 \n", + "2926 0 0 NaN MnPrv NaN 0 6 \n", + "2927 0 0 NaN MnPrv Shed 700 7 \n", + "2928 0 0 NaN NaN NaN 0 4 \n", + "2929 0 0 NaN NaN NaN 0 11 \n", + "\n", + " Yr Sold Sale Type Sale Condition SalePrice \n", + "2925 2006 WD Normal 142500 \n", + "2926 2006 WD Normal 131000 \n", + "2927 2006 WD Normal 132000 \n", + "2928 2006 WD Normal 170000 \n", + "2929 2006 WD Normal 188000 \n" + ] + } + ], + "source": [ + "# TODO: Load the Ames Housing dataset into a DataFrame.\n", + "# Hint: The dataset is available on Kaggle (\"Ames Housing\").\n", + "# After loading, display the first and last 5 rows to check if it worked.\n", + "\n", + "# Install dependencies as needed:\n", + "# pip install kagglehub[pandas-datasets]\n", + "import kagglehub\n", + "from kagglehub import KaggleDatasetAdapter\n", + "import pandas as pd\n", + "\n", + "# Set the path to the file you'd like to load\n", + "file_path = \"AmesHousing.csv\"\n", + "\n", + "# Load the latest version\n", + "df1 = kagglehub.load_dataset(\n", + " KaggleDatasetAdapter.PANDAS,\n", + " \"prevek18/ames-housing-dataset\",\n", + " file_path,\n", + " # Provide any additional arguments like\n", + " # sql_query or pandas_kwargs. See the\n", + " # documenation for more information:\n", + " # https://github.com/Kaggle/kagglehub/blob/main/README.md#kaggledatasetadapterpandas\n", + ")\n", + "\n", + "pd.set_option('display.max_columns', None)\n", + "\n", + "print(\"First 5 records:\", df1.head())\n", + "print(\"Last 5 records:\", df1.tail())" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "OdX7swaujg_u" + }, + "source": [ + "## 🔹 Step 2: Exploratory Data Review (EDR)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "DMYRBPWWjgpo", + "outputId": "6eedee8f-e54b-41a9-9ff6-1bee3288b30f" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Shape: (2930, 82)\n", + "Columns Name: Index(['Order', 'PID', 'MS SubClass', 'MS Zoning', 'Lot Frontage', 'Lot Area',\n", + " 'Street', 'Alley', 'Lot Shape', 'Land Contour', 'Utilities',\n", + " 'Lot Config', 'Land Slope', 'Neighborhood', 'Condition 1',\n", + " 'Condition 2', 'Bldg Type', 'House Style', 'Overall Qual',\n", + " 'Overall Cond', 'Year Built', 'Year Remod/Add', 'Roof Style',\n", + " 'Roof Matl', 'Exterior 1st', 'Exterior 2nd', 'Mas Vnr Type',\n", + " 'Mas Vnr Area', 'Exter Qual', 'Exter Cond', 'Foundation', 'Bsmt Qual',\n", + " 'Bsmt Cond', 'Bsmt Exposure', 'BsmtFin Type 1', 'BsmtFin SF 1',\n", + " 'BsmtFin Type 2', 'BsmtFin SF 2', 'Bsmt Unf SF', 'Total Bsmt SF',\n", + " 'Heating', 'Heating QC', 'Central Air', 'Electrical', '1st Flr SF',\n", + " '2nd Flr SF', 'Low Qual Fin SF', 'Gr Liv Area', 'Bsmt Full Bath',\n", + " 'Bsmt Half Bath', 'Full Bath', 'Half Bath', 'Bedroom AbvGr',\n", + " 'Kitchen AbvGr', 'Kitchen Qual', 'TotRms AbvGrd', 'Functional',\n", + " 'Fireplaces', 'Fireplace Qu', 'Garage Type', 'Garage Yr Blt',\n", + " 'Garage Finish', 'Garage Cars', 'Garage Area', 'Garage Qual',\n", + " 'Garage Cond', 'Paved Drive', 'Wood Deck SF', 'Open Porch SF',\n", + " 'Enclosed Porch', '3Ssn Porch', 'Screen Porch', 'Pool Area', 'Pool QC',\n", + " 'Fence', 'Misc Feature', 'Misc Val', 'Mo Sold', 'Yr Sold', 'Sale Type',\n", + " 'Sale Condition', 'SalePrice'],\n", + " dtype='object')\n", + "Sample of Records: \n", + "\n", + "RangeIndex: 2930 entries, 0 to 2929\n", + "Data columns (total 82 columns):\n", + " # Column Non-Null Count Dtype \n", + "--- ------ -------------- ----- \n", + " 0 Order 2930 non-null int64 \n", + " 1 PID 2930 non-null int64 \n", + " 2 MS SubClass 2930 non-null int64 \n", + " 3 MS Zoning 2930 non-null object \n", + " 4 Lot Frontage 2440 non-null float64\n", + " 5 Lot Area 2930 non-null int64 \n", + " 6 Street 2930 non-null object \n", + " 7 Alley 198 non-null object \n", + " 8 Lot Shape 2930 non-null object \n", + " 9 Land Contour 2930 non-null object \n", + " 10 Utilities 2930 non-null object \n", + " 11 Lot Config 2930 non-null object \n", + " 12 Land Slope 2930 non-null object \n", + " 13 Neighborhood 2930 non-null object \n", + " 14 Condition 1 2930 non-null object \n", + " 15 Condition 2 2930 non-null object \n", + " 16 Bldg Type 2930 non-null object \n", + " 17 House Style 2930 non-null object \n", + " 18 Overall Qual 2930 non-null int64 \n", + " 19 Overall Cond 2930 non-null int64 \n", + " 20 Year Built 2930 non-null int64 \n", + " 21 Year Remod/Add 2930 non-null int64 \n", + " 22 Roof Style 2930 non-null object \n", + " 23 Roof Matl 2930 non-null object \n", + " 24 Exterior 1st 2930 non-null object \n", + " 25 Exterior 2nd 2930 non-null object \n", + " 26 Mas Vnr Type 1155 non-null object \n", + " 27 Mas Vnr Area 2907 non-null float64\n", + " 28 Exter Qual 2930 non-null object \n", + " 29 Exter Cond 2930 non-null object \n", + " 30 Foundation 2930 non-null object \n", + " 31 Bsmt Qual 2850 non-null object \n", + " 32 Bsmt Cond 2850 non-null object \n", + " 33 Bsmt Exposure 2847 non-null object \n", + " 34 BsmtFin Type 1 2850 non-null object \n", + " 35 BsmtFin SF 1 2929 non-null float64\n", + " 36 BsmtFin Type 2 2849 non-null object \n", + " 37 BsmtFin SF 2 2929 non-null float64\n", + " 38 Bsmt Unf SF 2929 non-null float64\n", + " 39 Total Bsmt SF 2929 non-null float64\n", + " 40 Heating 2930 non-null object \n", + " 41 Heating QC 2930 non-null object \n", + " 42 Central Air 2930 non-null object \n", + " 43 Electrical 2929 non-null object \n", + " 44 1st Flr SF 2930 non-null int64 \n", + " 45 2nd Flr SF 2930 non-null int64 \n", + " 46 Low Qual Fin SF 2930 non-null int64 \n", + " 47 Gr Liv Area 2930 non-null int64 \n", + " 48 Bsmt Full Bath 2928 non-null float64\n", + " 49 Bsmt Half Bath 2928 non-null float64\n", + " 50 Full Bath 2930 non-null int64 \n", + " 51 Half Bath 2930 non-null int64 \n", + " 52 Bedroom AbvGr 2930 non-null int64 \n", + " 53 Kitchen AbvGr 2930 non-null int64 \n", + " 54 Kitchen Qual 2930 non-null object \n", + " 55 TotRms AbvGrd 2930 non-null int64 \n", + " 56 Functional 2930 non-null object \n", + " 57 Fireplaces 2930 non-null int64 \n", + " 58 Fireplace Qu 1508 non-null object \n", + " 59 Garage Type 2773 non-null object \n", + " 60 Garage Yr Blt 2771 non-null float64\n", + " 61 Garage Finish 2771 non-null object \n", + " 62 Garage Cars 2929 non-null float64\n", + " 63 Garage Area 2929 non-null float64\n", + " 64 Garage Qual 2771 non-null object \n", + " 65 Garage Cond 2771 non-null object \n", + " 66 Paved Drive 2930 non-null object \n", + " 67 Wood Deck SF 2930 non-null int64 \n", + " 68 Open Porch SF 2930 non-null int64 \n", + " 69 Enclosed Porch 2930 non-null int64 \n", + " 70 3Ssn Porch 2930 non-null int64 \n", + " 71 Screen Porch 2930 non-null int64 \n", + " 72 Pool Area 2930 non-null int64 \n", + " 73 Pool QC 13 non-null object \n", + " 74 Fence 572 non-null object \n", + " 75 Misc Feature 106 non-null object \n", + " 76 Misc Val 2930 non-null int64 \n", + " 77 Mo Sold 2930 non-null int64 \n", + " 78 Yr Sold 2930 non-null int64 \n", + " 79 Sale Type 2930 non-null object \n", + " 80 Sale Condition 2930 non-null object \n", + " 81 SalePrice 2930 non-null int64 \n", + "dtypes: float64(11), int64(28), object(43)\n", + "memory usage: 1.8+ MB\n", + " Order PID MS SubClass Lot Frontage Lot Area \\\n", + "count 2930.00000 2.930000e+03 2930.000000 2440.000000 2930.000000 \n", + "mean 1465.50000 7.144645e+08 57.387372 69.224590 10147.921843 \n", + "std 845.96247 1.887308e+08 42.638025 23.365335 7880.017759 \n", + "min 1.00000 5.263011e+08 20.000000 21.000000 1300.000000 \n", + "25% 733.25000 5.284770e+08 20.000000 58.000000 7440.250000 \n", + "50% 1465.50000 5.354536e+08 50.000000 68.000000 9436.500000 \n", + "75% 2197.75000 9.071811e+08 70.000000 80.000000 11555.250000 \n", + "max 2930.00000 1.007100e+09 190.000000 313.000000 215245.000000 \n", + "\n", + " Overall Qual Overall Cond Year Built Year Remod/Add Mas Vnr Area \\\n", + "count 2930.000000 2930.000000 2930.000000 2930.000000 2907.000000 \n", + "mean 6.094881 5.563140 1971.356314 1984.266553 101.896801 \n", + "std 1.411026 1.111537 30.245361 20.860286 179.112611 \n", + "min 1.000000 1.000000 1872.000000 1950.000000 0.000000 \n", + "25% 5.000000 5.000000 1954.000000 1965.000000 0.000000 \n", + "50% 6.000000 5.000000 1973.000000 1993.000000 0.000000 \n", + "75% 7.000000 6.000000 2001.000000 2004.000000 164.000000 \n", + "max 10.000000 9.000000 2010.000000 2010.000000 1600.000000 \n", + "\n", + " BsmtFin SF 1 BsmtFin SF 2 Bsmt Unf SF Total Bsmt SF 1st Flr SF \\\n", + "count 2929.000000 2929.000000 2929.000000 2929.000000 2930.000000 \n", + "mean 442.629566 49.722431 559.262547 1051.614544 1159.557679 \n", + "std 455.590839 169.168476 439.494153 440.615067 391.890885 \n", + "min 0.000000 0.000000 0.000000 0.000000 334.000000 \n", + "25% 0.000000 0.000000 219.000000 793.000000 876.250000 \n", + "50% 370.000000 0.000000 466.000000 990.000000 1084.000000 \n", + "75% 734.000000 0.000000 802.000000 1302.000000 1384.000000 \n", + "max 5644.000000 1526.000000 2336.000000 6110.000000 5095.000000 \n", + "\n", + " 2nd Flr SF Low Qual Fin SF Gr Liv Area Bsmt Full Bath \\\n", + "count 2930.000000 2930.000000 2930.000000 2928.000000 \n", + "mean 335.455973 4.676792 1499.690444 0.431352 \n", + "std 428.395715 46.310510 505.508887 0.524820 \n", + "min 0.000000 0.000000 334.000000 0.000000 \n", + "25% 0.000000 0.000000 1126.000000 0.000000 \n", + "50% 0.000000 0.000000 1442.000000 0.000000 \n", + "75% 703.750000 0.000000 1742.750000 1.000000 \n", + "max 2065.000000 1064.000000 5642.000000 3.000000 \n", + "\n", + " Bsmt Half Bath Full Bath Half Bath Bedroom AbvGr Kitchen AbvGr \\\n", + "count 2928.000000 2930.000000 2930.000000 2930.000000 2930.000000 \n", + "mean 0.061134 1.566553 0.379522 2.854266 1.044369 \n", + "std 0.245254 0.552941 0.502629 0.827731 0.214076 \n", + "min 0.000000 0.000000 0.000000 0.000000 0.000000 \n", + "25% 0.000000 1.000000 0.000000 2.000000 1.000000 \n", + "50% 0.000000 2.000000 0.000000 3.000000 1.000000 \n", + "75% 0.000000 2.000000 1.000000 3.000000 1.000000 \n", + "max 2.000000 4.000000 2.000000 8.000000 3.000000 \n", + "\n", + " TotRms AbvGrd Fireplaces Garage Yr Blt Garage Cars Garage Area \\\n", + "count 2930.000000 2930.000000 2771.000000 2929.000000 2929.000000 \n", + "mean 6.443003 0.599317 1978.132443 1.766815 472.819734 \n", + "std 1.572964 0.647921 25.528411 0.760566 215.046549 \n", + "min 2.000000 0.000000 1895.000000 0.000000 0.000000 \n", + "25% 5.000000 0.000000 1960.000000 1.000000 320.000000 \n", + "50% 6.000000 1.000000 1979.000000 2.000000 480.000000 \n", + "75% 7.000000 1.000000 2002.000000 2.000000 576.000000 \n", + "max 15.000000 4.000000 2207.000000 5.000000 1488.000000 \n", + "\n", + " Wood Deck SF Open Porch SF Enclosed Porch 3Ssn Porch Screen Porch \\\n", + "count 2930.000000 2930.000000 2930.000000 2930.000000 2930.000000 \n", + "mean 93.751877 47.533447 23.011604 2.592491 16.002048 \n", + "std 126.361562 67.483400 64.139059 25.141331 56.087370 \n", + "min 0.000000 0.000000 0.000000 0.000000 0.000000 \n", + "25% 0.000000 0.000000 0.000000 0.000000 0.000000 \n", + "50% 0.000000 27.000000 0.000000 0.000000 0.000000 \n", + "75% 168.000000 70.000000 0.000000 0.000000 0.000000 \n", + "max 1424.000000 742.000000 1012.000000 508.000000 576.000000 \n", + "\n", + " Pool Area Misc Val Mo Sold Yr Sold SalePrice \n", + "count 2930.000000 2930.000000 2930.000000 2930.000000 2930.000000 \n", + "mean 2.243345 50.635154 6.216041 2007.790444 180796.060068 \n", + "std 35.597181 566.344288 2.714492 1.316613 79886.692357 \n", + "min 0.000000 0.000000 1.000000 2006.000000 12789.000000 \n", + "25% 0.000000 0.000000 4.000000 2007.000000 129500.000000 \n", + "50% 0.000000 0.000000 6.000000 2008.000000 160000.000000 \n", + "75% 0.000000 0.000000 8.000000 2009.000000 213500.000000 \n", + "max 800.000000 17000.000000 12.000000 2010.000000 755000.000000 \n", + " MS Zoning Street Alley Lot Shape Land Contour Utilities Lot Config \\\n", + "count 2930 2930 198 2930 2930 2930 2930 \n", + "unique 7 2 2 4 4 3 5 \n", + "top RL Pave Grvl Reg Lvl AllPub Inside \n", + "freq 2273 2918 120 1859 2633 2927 2140 \n", + "\n", + " Land Slope Neighborhood Condition 1 Condition 2 Bldg Type House Style \\\n", + "count 2930 2930 2930 2930 2930 2930 \n", + "unique 3 28 9 8 5 8 \n", + "top Gtl NAmes Norm Norm 1Fam 1Story \n", + "freq 2789 443 2522 2900 2425 1481 \n", + "\n", + " Roof Style Roof Matl Exterior 1st Exterior 2nd Mas Vnr Type Exter Qual \\\n", + "count 2930 2930 2930 2930 1155 2930 \n", + "unique 6 8 16 17 4 4 \n", + "top Gable CompShg VinylSd VinylSd BrkFace TA \n", + "freq 2321 2887 1026 1015 880 1799 \n", + "\n", + " Exter Cond Foundation Bsmt Qual Bsmt Cond Bsmt Exposure BsmtFin Type 1 \\\n", + "count 2930 2930 2850 2850 2847 2850 \n", + "unique 5 6 5 5 4 6 \n", + "top TA PConc TA TA No GLQ \n", + "freq 2549 1310 1283 2616 1906 859 \n", + "\n", + " BsmtFin Type 2 Heating Heating QC Central Air Electrical Kitchen Qual \\\n", + "count 2849 2930 2930 2930 2929 2930 \n", + "unique 6 6 5 2 5 5 \n", + "top Unf GasA Ex Y SBrkr TA \n", + "freq 2499 2885 1495 2734 2682 1494 \n", + "\n", + " Functional Fireplace Qu Garage Type Garage Finish Garage Qual \\\n", + "count 2930 1508 2773 2771 2771 \n", + "unique 8 5 6 3 5 \n", + "top Typ Gd Attchd Unf TA \n", + "freq 2728 744 1731 1231 2615 \n", + "\n", + " Garage Cond Paved Drive Pool QC Fence Misc Feature Sale Type \\\n", + "count 2771 2930 13 572 106 2930 \n", + "unique 5 3 4 4 5 10 \n", + "top TA Y Ex MnPrv Shed WD \n", + "freq 2665 2652 4 330 95 2536 \n", + "\n", + " Sale Condition \n", + "count 2930 \n", + "unique 6 \n", + "top Normal \n", + "freq 2413 \n", + "Order: [ 1 2 3 ... 2928 2929 2930]\n", + "PID: [526301100 526350040 526351010 ... 923400125 924100070 924151050]\n", + "MS SubClass: [ 20 60 120 50 85 160 80 30 90 190 45 70 75 40 180 150]\n", + "MS Zoning: ['RL' 'RH' 'FV' 'RM' 'C (all)' 'I (all)' 'A (agr)']\n", + "Lot Frontage: [141. 80. 81. 93. 74. 78. 41. 43. 39. 60. 75. nan 63. 85.\n", + " 47. 152. 88. 140. 105. 65. 70. 26. 21. 53. 24. 102. 98. 83.\n", + " 94. 95. 90. 79. 100. 44. 110. 61. 36. 67. 108. 59. 92. 58.\n", + " 56. 73. 72. 84. 76. 50. 55. 68. 107. 25. 30. 57. 40. 77.\n", + " 120. 137. 87. 119. 64. 96. 71. 69. 52. 51. 54. 86. 124. 82.\n", + " 38. 48. 89. 66. 45. 35. 129. 31. 42. 28. 99. 104. 97. 103.\n", + " 34. 117. 149. 122. 62. 174. 106. 112. 32. 115. 128. 91. 33. 121.\n", + " 144. 130. 109. 150. 113. 125. 101. 46. 114. 135. 136. 37. 22. 313.\n", + " 49. 123. 160. 195. 118. 134. 182. 116. 138. 155. 126. 200. 168. 111.\n", + " 131. 153. 133.]\n", + "Lot Area: [31770 11622 14267 ... 7937 8885 10441]\n", + "Street: ['Pave' 'Grvl']\n", + "Alley: [nan 'Pave' 'Grvl']\n", + "Lot Shape: ['IR1' 'Reg' 'IR2' 'IR3']\n", + "Land Contour: ['Lvl' 'HLS' 'Bnk' 'Low']\n", + "Utilities: ['AllPub' 'NoSewr' 'NoSeWa']\n", + "Lot Config: ['Corner' 'Inside' 'CulDSac' 'FR2' 'FR3']\n", + "Land Slope: ['Gtl' 'Mod' 'Sev']\n", + "Neighborhood: ['NAmes' 'Gilbert' 'StoneBr' 'NWAmes' 'Somerst' 'BrDale' 'NPkVill'\n", + " 'NridgHt' 'Blmngtn' 'NoRidge' 'SawyerW' 'Sawyer' 'Greens' 'BrkSide'\n", + " 'OldTown' 'IDOTRR' 'ClearCr' 'SWISU' 'Edwards' 'CollgCr' 'Crawfor'\n", + " 'Blueste' 'Mitchel' 'Timber' 'MeadowV' 'Veenker' 'GrnHill' 'Landmrk']\n", + "Condition 1: ['Norm' 'Feedr' 'PosN' 'RRNe' 'RRAe' 'Artery' 'PosA' 'RRAn' 'RRNn']\n", + "Condition 2: ['Norm' 'Feedr' 'PosA' 'PosN' 'Artery' 'RRNn' 'RRAe' 'RRAn']\n", + "Bldg Type: ['1Fam' 'TwnhsE' 'Twnhs' 'Duplex' '2fmCon']\n", + "House Style: ['1Story' '2Story' '1.5Fin' 'SFoyer' 'SLvl' '2.5Unf' '1.5Unf' '2.5Fin']\n", + "Overall Qual: [ 6 5 7 8 9 4 3 2 10 1]\n", + "Overall Cond: [5 6 7 2 8 4 9 3 1]\n", + "Year Built: [1960 1961 1958 1968 1997 1998 2001 1992 1995 1999 1993 1990 1985 2003\n", + " 1988 2010 1951 1978 1977 1974 2000 1970 1971 1975 2009 2007 2005 2004\n", + " 2002 2006 1996 1994 2008 1980 1979 1984 1920 1965 1967 1963 1962 1976\n", + " 1972 1966 1959 1964 1950 1952 1949 1940 1954 1955 1957 1956 1953 1948\n", + " 1900 1910 1927 1915 1945 1929 1938 1923 1928 1890 1885 1922 1925 1939\n", + " 1942 1936 1930 1921 1912 1917 1907 1875 1969 1947 1946 1987 1941 1924\n", + " 1914 1931 1919 1989 1896 1973 1991 1981 1986 1916 1926 1935 1892 1898\n", + " 1880 1882 1937 1902 1934 1982 1983 1932 1918 1904 1905 1872 1893 1906\n", + " 1908 1911 1895 1879 1901 1913]\n", + "Year Remod/Add: [1960 1961 1958 1968 1998 2001 1992 1996 1999 1994 2007 1990 1985 2003\n", + " 2005 2010 1951 1988 1977 1974 2000 1970 2008 1971 1975 1978 2006 2004\n", + " 2002 1995 2009 1980 1979 1984 1981 1950 1967 1963 1993 1966 1959 1964\n", + " 1954 1972 1989 1957 1956 1952 1955 1962 1997 1965 1969 1987 1976 1991\n", + " 1973 1986 1983 1953 1982]\n", + "Roof Style: ['Hip' 'Gable' 'Mansard' 'Gambrel' 'Shed' 'Flat']\n", + "Roof Matl: ['CompShg' 'WdShake' 'Tar&Grv' 'WdShngl' 'Membran' 'ClyTile' 'Roll'\n", + " 'Metal']\n", + "Exterior 1st: ['BrkFace' 'VinylSd' 'Wd Sdng' 'CemntBd' 'HdBoard' 'Plywood' 'MetalSd'\n", + " 'AsbShng' 'WdShing' 'Stucco' 'AsphShn' 'BrkComm' 'CBlock' 'PreCast'\n", + " 'Stone' 'ImStucc']\n", + "Exterior 2nd: ['Plywood' 'VinylSd' 'Wd Sdng' 'BrkFace' 'CmentBd' 'HdBoard' 'Wd Shng'\n", + " 'MetalSd' 'ImStucc' 'Brk Cmn' 'AsbShng' 'Stucco' 'AsphShn' 'CBlock'\n", + " 'Stone' 'PreCast' 'Other']\n", + "Mas Vnr Type: ['Stone' nan 'BrkFace' 'BrkCmn' 'CBlock']\n", + "Mas Vnr Area: [1.120e+02 0.000e+00 1.080e+02 2.000e+01 6.030e+02 3.500e+02 1.190e+02\n", + " 4.800e+02 8.100e+01 1.800e+02 5.040e+02 4.920e+02 3.810e+02 1.620e+02\n", + " 2.000e+02 4.500e+02 2.560e+02 2.260e+02 6.150e+02 2.400e+02 1.680e+02\n", + " 7.600e+02 1.280e+02 1.095e+03 2.320e+02 4.120e+02 1.780e+02 1.060e+02\n", + " 1.400e+01 1.600e+01 nan 1.650e+02 1.140e+02 3.380e+02 3.620e+02\n", + " 3.480e+02 3.000e+01 5.790e+02 3.600e+01 1.220e+02 1.300e+02 3.100e+01\n", + " 2.500e+02 1.200e+02 2.160e+02 4.320e+02 1.159e+03 2.890e+02 2.800e+01\n", + " 4.200e+01 1.720e+02 4.510e+02 2.680e+02 8.600e+01 1.560e+02 1.440e+02\n", + " 2.650e+02 3.400e+02 1.100e+02 1.640e+02 3.610e+02 2.870e+02 5.060e+02\n", + " 1.500e+02 2.200e+02 3.240e+02 9.100e+01 1.040e+02 3.000e+02 2.610e+02\n", + " 2.180e+02 3.510e+02 7.710e+02 2.940e+02 9.000e+01 7.200e+01 4.700e+01\n", + " 1.430e+02 3.280e+02 2.880e+02 9.600e+01 3.360e+02 1.770e+02 8.500e+01\n", + " 2.460e+02 2.400e+01 8.000e+01 1.160e+02 1.530e+02 3.200e+02 4.790e+02\n", + " 2.230e+02 4.420e+02 1.700e+02 1.690e+02 1.710e+02 1.090e+02 9.800e+01\n", + " 1.450e+02 2.030e+02 3.710e+02 4.300e+02 4.400e+01 1.860e+02 3.350e+02\n", + " 6.000e+01 8.400e+01 1.890e+02 4.400e+02 1.880e+02 3.200e+01 1.600e+02\n", + " 2.200e+01 4.000e+01 6.800e+01 4.500e+01 3.440e+02 7.480e+02 4.640e+02\n", + " 1.570e+02 2.780e+02 2.090e+02 1.260e+02 1.010e+02 2.290e+02 2.250e+02\n", + " 2.060e+02 1.610e+02 1.960e+02 1.740e+02 3.330e+02 7.600e+01 3.120e+02\n", + " 1.420e+02 4.250e+02 5.100e+02 2.300e+02 7.260e+02 8.600e+02 6.400e+02\n", + " 3.060e+02 1.540e+02 3.050e+02 4.200e+02 4.720e+02 4.240e+02 3.020e+02\n", + " 2.380e+02 2.840e+02 2.620e+02 2.850e+02 2.960e+02 4.180e+02 9.220e+02\n", + " 7.240e+02 3.830e+02 1.350e+02 1.760e+02 1.660e+02 7.300e+02 4.700e+02\n", + " 3.080e+02 5.000e+02 2.700e+02 1.630e+02 1.100e+01 2.100e+02 2.980e+02\n", + " 6.730e+02 7.310e+02 9.750e+02 9.210e+02 6.340e+02 2.860e+02 3.720e+02\n", + " 5.280e+02 1.940e+02 2.600e+02 1.980e+02 1.210e+02 1.000e+02 2.640e+02\n", + " 1.400e+02 1.320e+02 3.660e+02 1.410e+02 1.150e+02 2.800e+02 2.520e+02\n", + " 8.940e+02 5.130e+02 4.560e+02 5.710e+02 3.590e+02 2.830e+02 3.600e+02\n", + " 5.090e+02 7.000e+01 9.500e+01 2.170e+02 3.000e+00 2.470e+02 5.760e+02\n", + " 1.830e+02 3.990e+02 6.500e+02 6.570e+02 2.950e+02 3.680e+02 8.200e+01\n", + " 1.240e+02 4.440e+02 9.200e+01 8.900e+01 2.300e+01 5.400e+01 1.490e+02\n", + " 2.340e+02 1.370e+02 2.750e+02 2.420e+02 3.640e+02 3.520e+02 1.360e+02\n", + " 2.040e+02 5.730e+02 2.550e+02 7.400e+01 2.590e+02 8.800e+01 5.410e+02\n", + " 4.060e+02 3.100e+02 5.840e+02 2.900e+02 1.820e+02 7.500e+01 2.450e+02\n", + " 1.230e+02 1.020e+02 6.210e+02 6.600e+02 4.020e+02 1.580e+02 4.220e+02\n", + " 1.270e+02 6.040e+02 3.560e+02 6.500e+01 4.260e+02 2.720e+02 8.160e+02\n", + " 4.360e+02 5.540e+02 4.680e+02 6.800e+02 6.640e+02 2.920e+02 1.110e+03\n", + " 2.210e+02 7.660e+02 6.160e+02 7.140e+02 1.460e+02 3.180e+02 6.470e+02\n", + " 1.290e+03 4.730e+02 4.950e+02 4.660e+02 6.510e+02 4.480e+02 5.300e+01\n", + " 7.680e+02 3.800e+01 2.580e+02 3.040e+02 5.680e+02 1.790e+02 2.120e+02\n", + " 1.050e+03 5.640e+02 3.420e+02 1.480e+02 2.430e+02 4.910e+02 2.370e+02\n", + " 4.100e+02 1.510e+02 1.870e+02 3.870e+02 5.200e+01 1.250e+02 2.760e+02\n", + " 4.150e+02 3.900e+01 4.100e+01 2.990e+02 9.900e+01 1.900e+02 2.510e+02\n", + " 2.810e+02 2.270e+02 2.020e+02 3.960e+02 1.340e+02 1.920e+02 2.050e+02\n", + " 2.150e+02 1.130e+02 5.000e+01 2.660e+02 1.470e+02 2.220e+02 7.960e+02\n", + " 5.800e+01 6.320e+02 6.680e+02 2.280e+02 2.190e+02 6.740e+02 1.970e+02\n", + " 1.115e+03 1.380e+02 7.100e+02 9.450e+02 6.700e+01 5.490e+02 2.330e+02\n", + " 2.530e+02 2.630e+02 3.650e+02 5.670e+02 3.760e+02 3.780e+02 4.520e+02\n", + " 2.540e+02 3.150e+02 4.000e+02 3.750e+02 7.720e+02 2.480e+02 9.700e+02\n", + " 5.020e+02 3.880e+02 3.940e+02 2.350e+02 5.150e+02 7.050e+02 1.170e+03\n", + " 5.940e+02 3.090e+02 5.260e+02 7.540e+02 2.080e+02 4.280e+02 3.530e+02\n", + " 1.050e+02 5.700e+01 3.370e+02 1.129e+03 1.600e+03 6.000e+02 1.000e+00\n", + " 5.250e+02 6.600e+01 6.300e+01 5.600e+01 2.240e+02 8.700e+01 2.910e+02\n", + " 6.900e+01 2.790e+02 4.350e+02 3.230e+02 1.670e+02 5.100e+01 2.140e+02\n", + " 5.190e+02 4.380e+02 4.800e+01 1.224e+03 7.620e+02 4.230e+02 1.840e+02\n", + " 6.520e+02 4.810e+02 2.390e+02 2.740e+02 1.170e+02 8.860e+02 2.360e+02\n", + " 9.400e+01 2.440e+02 9.020e+02 4.340e+02 2.700e+01 6.620e+02 7.340e+02\n", + " 5.500e+02 1.031e+03 3.400e+01 5.140e+02 4.080e+02 3.800e+02 2.970e+02\n", + " 3.700e+02 3.850e+02 7.880e+02 5.620e+02 8.700e+02 5.180e+02 5.720e+02\n", + " 1.800e+01 3.220e+02 1.378e+03 8.770e+02 5.300e+02 3.970e+02 7.380e+02\n", + " 5.010e+02 3.910e+02 1.180e+02 4.600e+01 6.920e+02 3.320e+02 1.750e+02\n", + " 6.400e+01 5.220e+02 1.047e+03 3.790e+02 2.070e+02 9.700e+01 5.320e+02\n", + " 6.200e+01 1.990e+02 3.550e+02 4.590e+02 4.050e+02 3.270e+02 2.570e+02\n", + " 2.930e+02 6.530e+02 6.300e+02 3.820e+02 4.430e+02]\n", + "Exter Qual: ['TA' 'Gd' 'Ex' 'Fa']\n", + "Exter Cond: ['TA' 'Gd' 'Fa' 'Po' 'Ex']\n", + "Foundation: ['CBlock' 'PConc' 'Wood' 'BrkTil' 'Slab' 'Stone']\n", + "Bsmt Qual: ['TA' 'Gd' 'Ex' nan 'Fa' 'Po']\n", + "Bsmt Cond: ['Gd' 'TA' nan 'Po' 'Fa' 'Ex']\n", + "Bsmt Exposure: ['Gd' 'No' 'Mn' 'Av' nan]\n", + "BsmtFin Type 1: ['BLQ' 'Rec' 'ALQ' 'GLQ' 'Unf' 'LwQ' nan]\n", + "BsmtFin SF 1: [6.390e+02 4.680e+02 9.230e+02 1.065e+03 7.910e+02 6.020e+02 6.160e+02\n", + " 2.630e+02 1.180e+03 0.000e+00 9.350e+02 6.370e+02 3.680e+02 1.416e+03\n", + " 4.270e+02 1.445e+03 1.200e+02 7.900e+02 7.050e+02 8.850e+02 5.330e+02\n", + " 5.780e+02 7.340e+02 7.750e+02 8.040e+02 4.320e+02 1.051e+03 1.560e+02\n", + " 3.000e+02 3.600e+02 5.140e+02 3.110e+02 1.218e+03 1.646e+03 1.201e+03\n", + " 1.100e+02 2.800e+01 2.000e+00 2.188e+03 7.330e+02 1.373e+03 4.560e+02\n", + " 2.400e+01 1.600e+01 3.260e+02 6.250e+02 2.500e+02 9.190e+02 1.032e+03\n", + " 5.240e+02 8.160e+02 1.078e+03 2.220e+02 1.414e+03 6.560e+02 6.950e+02\n", + " 5.430e+02 6.230e+02 4.020e+02 3.380e+02 8.990e+02 5.530e+02 4.500e+02\n", + " 8.240e+02 6.590e+02 1.260e+02 6.740e+02 1.129e+03 1.298e+03 2.800e+02\n", + " 3.760e+02 3.780e+02 4.660e+02 6.040e+02 2.440e+02 4.840e+02 7.280e+02\n", + " 1.052e+03 8.330e+02 5.060e+02 1.137e+03 1.200e+03 6.870e+02 3.940e+02\n", + " 9.820e+02 3.290e+02 6.980e+02 5.690e+02 1.059e+03 1.010e+03 1.014e+03\n", + " 7.630e+02 1.500e+03 4.900e+01 6.700e+02 6.960e+02 3.540e+02 5.400e+02\n", + " 9.440e+02 4.430e+02 9.120e+02 2.470e+02 1.188e+03 8.560e+02 1.018e+03\n", + " 9.220e+02 1.000e+03 6.970e+02 9.360e+02 3.390e+02 6.480e+02 5.320e+02\n", + " 7.310e+02 3.200e+02 2.480e+02 1.056e+03 7.200e+01 4.810e+02 3.400e+02\n", + " 5.070e+02 2.340e+02 5.880e+02 7.170e+02 4.800e+01 5.790e+02 2.740e+02\n", + " 5.100e+02 7.800e+02 1.760e+02 6.860e+02 6.000e+02 2.830e+02 7.880e+02\n", + " 4.740e+02 1.880e+02 4.520e+02 2.640e+02 2.760e+02 4.480e+02 9.600e+02\n", + " 1.040e+02 7.660e+02 1.026e+03 7.300e+01 7.360e+02 7.040e+02 8.410e+02\n", + " 1.302e+03 8.420e+02 2.400e+02 3.710e+02 1.319e+03 2.670e+02 4.380e+02\n", + " 1.092e+03 4.420e+02 1.258e+03 9.640e+02 2.880e+02 1.080e+02 7.390e+02\n", + " 1.920e+02 9.540e+02 3.600e+01 1.346e+03 1.433e+03 8.600e+02 7.500e+02\n", + " 7.470e+02 1.470e+03 5.040e+02 8.700e+02 3.530e+02 5.050e+02 1.980e+02\n", + " 1.820e+02 4.800e+02 1.682e+03 1.358e+03 4.830e+02 6.720e+02 6.620e+02\n", + " 3.700e+02 7.120e+02 1.070e+03 5.280e+02 4.220e+02 9.400e+01 3.480e+02\n", + " 3.830e+02 1.330e+02 2.030e+02 2.180e+02 2.380e+02 4.260e+02 3.750e+02\n", + " 2.750e+02 1.406e+03 3.430e+02 7.600e+01 1.247e+03 7.350e+02 3.080e+02\n", + " 6.150e+02 6.790e+02 5.390e+02 7.800e+01 6.240e+02 4.200e+01 3.340e+02\n", + " 9.150e+02 1.290e+02 1.500e+02 2.940e+02 4.690e+02 5.930e+02 2.070e+02\n", + " 4.580e+02 4.760e+02 1.341e+03 5.640e+02 8.440e+02 1.410e+03 8.470e+02\n", + " 8.500e+02 2.840e+02 1.320e+03 1.965e+03 1.158e+03 3.410e+02 7.410e+02\n", + " 1.890e+02 3.100e+02 5.600e+02 6.940e+02 1.036e+03 1.904e+03 1.274e+03\n", + " 4.000e+02 6.920e+02 8.220e+02 1.246e+03 3.630e+02 8.320e+02 1.104e+03\n", + " 3.810e+02 6.220e+02 5.440e+02 2.250e+02 1.333e+03 8.880e+02 6.360e+02\n", + " 8.280e+02 4.390e+02 5.000e+02 7.260e+02 1.910e+02 2.540e+02 7.650e+02\n", + " 1.620e+02 2.310e+02 9.580e+02 3.060e+02 5.660e+02 4.350e+02 2.570e+02\n", + " 3.890e+02 2.790e+02 5.360e+02 6.440e+02 1.172e+03 1.360e+03 1.767e+03\n", + " 1.572e+03 9.860e+02 1.232e+03 1.436e+03 1.338e+03 2.288e+03 1.531e+03\n", + " 1.230e+03 1.015e+03 1.088e+03 1.037e+03 1.142e+03 1.170e+03 1.039e+03\n", + " 1.124e+03 1.262e+03 5.600e+01 1.972e+03 8.360e+02 9.000e+02 8.810e+02\n", + " 8.760e+02 9.040e+02 2.146e+03 1.557e+03 8.000e+02 1.196e+03 8.630e+02\n", + " 5.670e+02 9.880e+02 4.250e+02 6.520e+02 4.940e+02 6.510e+02 2.410e+02\n", + " 6.830e+02 9.130e+02 7.720e+02 1.163e+03 6.890e+02 1.173e+03 7.810e+02\n", + " 8.540e+02 2.360e+02 9.870e+02 1.361e+03 5.950e+02 1.294e+03 3.790e+02\n", + " 2.158e+03 2.700e+01 1.121e+03 6.820e+02 8.120e+02 1.430e+03 4.100e+02\n", + " 7.710e+02 5.400e+01 5.160e+02 9.760e+02 2.000e+01 5.200e+01 3.310e+02\n", + " 6.800e+01 6.600e+02 8.640e+02 5.940e+02 1.400e+02 1.733e+03 6.010e+02\n", + " 9.620e+02 5.490e+02 6.490e+02 1.252e+03 1.210e+02 1.116e+03 2.980e+02\n", + " 8.590e+02 9.550e+02 1.440e+02 6.430e+02 2.510e+02 4.030e+02 6.120e+02\n", + " 1.960e+02 9.980e+02 7.400e+02 3.880e+02 9.910e+02 5.680e+02 1.000e+02\n", + " 1.850e+02 1.024e+03 1.285e+03 6.070e+02 1.312e+03 6.090e+02 1.387e+03\n", + " 4.540e+02 7.080e+02 6.200e+02 5.850e+02 1.720e+02 1.550e+02 1.213e+03\n", + " 4.900e+02 4.280e+02 6.500e+02 7.000e+02 9.310e+02 4.400e+02 6.990e+02\n", + " 3.900e+02 6.800e+02 3.150e+02 3.840e+02 8.720e+02 7.450e+02 5.460e+02\n", + " 1.270e+03 6.210e+02 1.800e+02 6.300e+02 4.330e+02 1.148e+03 9.410e+02\n", + " 8.260e+02 6.330e+02 4.210e+02 3.120e+02 2.160e+02 4.950e+02 1.309e+03\n", + " 2.200e+02 4.050e+02 2.090e+02 2.730e+02 1.340e+02 2.990e+02 5.220e+02\n", + " 1.520e+02 1.690e+02 7.490e+02 1.152e+03 3.500e+02 5.510e+02 4.440e+02\n", + " 2.260e+02 5.270e+02 6.850e+02 1.700e+02 1.324e+03 2.620e+02 3.420e+02\n", + " 3.440e+02 1.730e+02 5.520e+02 2.920e+02 2.040e+02 4.600e+02 7.000e+01\n", + " 1.441e+03 4.850e+02 5.130e+02 5.840e+02 1.086e+03 1.094e+03 8.200e+02\n", + " 1.021e+03 1.288e+03 1.359e+03 1.334e+03 9.020e+02 7.240e+02 1.518e+03\n", + " 2.490e+02 7.320e+02 7.550e+02 8.210e+02 3.850e+02 9.500e+02 7.460e+02\n", + " 6.060e+02 6.660e+02 1.259e+03 7.100e+02 6.460e+02 7.770e+02 1.234e+03\n", + " 9.900e+02 6.900e+02 1.111e+03 1.478e+03 1.930e+02 5.350e+02 3.990e+02\n", + " 6.310e+02 5.470e+02 3.320e+02 6.260e+02 4.080e+02 2.900e+02 5.230e+02\n", + " 7.930e+02 7.130e+02 2.460e+02 1.540e+02 6.500e+01 7.840e+02 4.710e+02\n", + " 2.850e+02 8.030e+02 8.080e+02 1.476e+03 4.450e+02 1.351e+03 7.670e+02\n", + " 6.110e+02 5.500e+01 1.110e+02 1.236e+03 1.022e+03 1.758e+03 1.115e+03\n", + " 1.005e+03 4.620e+02 1.260e+03 1.640e+03 8.660e+02 8.830e+02 5.150e+02\n", + " 5.090e+02 7.200e+02 1.140e+02 1.097e+03 7.180e+02 3.300e+02 1.567e+03\n", + " 4.960e+02 8.650e+02 7.060e+02 8.510e+02 1.380e+02 1.153e+03 2.190e+02\n", + " 3.190e+02 1.337e+03 1.034e+03 9.830e+02 1.206e+03 8.960e+02 8.900e+02\n", + " 1.084e+03 1.023e+03 2.520e+02 1.190e+02 2.660e+02 3.210e+02 3.870e+02\n", + " 3.580e+02 5.590e+02 2.860e+02 1.336e+03 1.280e+03 1.636e+03 1.330e+03\n", + " 1.012e+03 1.400e+03 1.728e+03 1.375e+03 1.420e+03 1.082e+03 1.249e+03\n", + " 4.000e+01 2.257e+03 1.016e+03 1.149e+03 1.075e+03 3.720e+02 1.540e+03\n", + " 1.204e+03 8.460e+02 5.730e+02 1.073e+03 1.087e+03 7.590e+02 6.550e+02\n", + " 1.660e+03 1.696e+03 2.280e+02 1.314e+03 1.096e+03 3.300e+01 7.290e+02\n", + " 7.890e+02 5.030e+02 8.000e+01 8.140e+02 3.620e+02 1.138e+03 5.370e+02\n", + " 4.720e+02 3.970e+02 1.650e+02 5.300e+01 7.370e+02 7.640e+02 4.890e+02\n", + " 1.900e+02 5.200e+02 5.500e+02 1.027e+03 1.004e+03 1.141e+03 1.238e+03\n", + " 6.810e+02 8.130e+02 1.280e+02 7.860e+02 1.619e+03 1.044e+03 3.010e+02\n", + " 6.030e+02 9.560e+02 2.600e+02 5.830e+02 5.750e+02 8.670e+02 7.760e+02\n", + " 8.920e+02 7.870e+02 8.060e+02 4.190e+02 6.580e+02 3.200e+01 8.310e+02\n", + " 5.310e+02 5.720e+02 2.500e+01 1.053e+03 1.040e+03 5.700e+02 7.740e+02\n", + " 1.480e+02 8.520e+02 5.800e+02 7.440e+02 3.740e+02 6.730e+02 9.600e+01\n", + " 4.930e+02 5.900e+02 1.160e+02 1.410e+02 2.590e+02 2.000e+02 4.060e+02\n", + " 1.750e+02 5.210e+02 2.010e+02 nan 3.360e+02 2.100e+02 3.510e+02\n", + " 9.060e+02 7.580e+02 7.020e+02 2.210e+02 1.198e+03 1.300e+03 6.340e+02\n", + " 1.064e+03 4.290e+02 1.003e+03 3.920e+02 5.990e+02 7.190e+02 1.035e+03\n", + " 3.240e+02 9.690e+02 1.085e+03 7.790e+02 1.271e+03 3.550e+02 2.085e+03\n", + " 5.000e+01 7.700e+02 7.220e+02 1.308e+03 6.880e+02 3.610e+02 6.630e+02\n", + " 4.860e+02 8.800e+01 6.320e+02 6.680e+02 1.194e+03 1.538e+03 6.420e+02\n", + " 9.940e+02 1.593e+03 8.100e+02 9.460e+02 8.300e+02 1.033e+03 9.200e+02\n", + " 5.644e+03 4.590e+02 3.520e+02 2.240e+02 4.100e+01 4.230e+02 2.810e+02\n", + " 3.660e+02 8.100e+01 5.380e+02 1.480e+03 1.474e+03 6.410e+02 1.383e+03\n", + " 8.930e+02 1.165e+03 1.513e+03 1.398e+03 7.830e+02 1.029e+03 1.223e+03\n", + " 8.710e+02 1.011e+03 1.571e+03 7.690e+02 3.180e+02 5.010e+02 4.370e+02\n", + " 7.850e+02 5.340e+02 6.380e+02 6.470e+02 5.620e+02 8.380e+02 7.780e+02\n", + " 1.880e+03 1.860e+02 4.140e+02 9.260e+02 1.101e+03 1.047e+03 7.970e+02\n", + " 9.450e+02 1.558e+03 6.780e+02 2.560e+02 1.328e+03 6.050e+02 9.030e+02\n", + " 4.920e+02 3.490e+02 2.820e+02 4.120e+02 3.220e+02 3.140e+02 9.300e+02\n", + " 3.560e+02 5.560e+02 7.250e+02 1.151e+03 1.304e+03 1.812e+03 1.350e+03\n", + " 1.684e+03 9.700e+02 9.380e+02 6.690e+02 1.178e+03 1.030e+03 7.620e+02\n", + " 8.480e+02 9.180e+02 5.740e+02 2.096e+03 1.181e+03 1.282e+03 1.048e+03\n", + " 1.455e+03 8.620e+02 5.650e+02 1.231e+03 3.350e+02 1.225e+03 1.220e+03\n", + " 9.290e+02 6.300e+01 1.126e+03 1.369e+03 6.400e+01 1.443e+03 4.300e+02\n", + " 4.170e+02 9.320e+02 8.270e+02 7.270e+02 1.250e+02 1.390e+03 9.680e+02\n", + " 4.820e+02 6.000e+01 9.370e+02 1.106e+03 4.200e+02 4.360e+02 2.390e+02\n", + " 9.010e+02 4.570e+02 1.732e+03 1.157e+03 9.780e+02 1.632e+03 4.980e+02\n", + " 7.380e+02 9.730e+02 9.100e+02 3.460e+02 8.190e+02 7.920e+02 9.160e+02\n", + " 6.170e+02 6.540e+02 2.700e+02 1.386e+03 1.300e+02 3.860e+02 1.870e+02\n", + " 8.730e+02 9.080e+02 6.080e+02 5.120e+02 5.860e+02 1.237e+03 4.410e+02\n", + " 8.500e+01 3.770e+02 2.420e+02 9.520e+02 3.980e+02 1.098e+03 7.820e+02\n", + " 1.680e+02 1.220e+02 3.160e+02 1.046e+03 3.170e+02 6.450e+02 1.970e+02\n", + " 9.250e+02 7.480e+02 2.580e+02 1.219e+03 5.870e+02 4.770e+02 4.910e+02\n", + " 4.530e+02 1.440e+03 5.570e+02 1.080e+03 4.970e+02 9.840e+02 1.150e+03\n", + " 6.640e+02 9.850e+02 5.100e+01 1.013e+03 5.020e+02 7.160e+02 6.710e+02\n", + " 1.464e+03 1.412e+03 1.079e+03 7.090e+02 1.320e+02 7.510e+02 9.800e+02\n", + " 4.010e+03 2.260e+03 4.670e+02 7.700e+01 1.130e+02 3.640e+02 3.650e+02\n", + " 1.128e+03 2.970e+02 1.186e+03 3.500e+01 5.770e+02 4.340e+02 5.480e+02\n", + " 9.670e+02 1.573e+03 1.001e+03 7.730e+02 1.392e+03 1.239e+03 9.240e+02\n", + " 9.490e+02 1.102e+03 2.150e+02 7.420e+02 1.329e+03 1.159e+03 2.060e+02\n", + " 8.400e+02 8.740e+02 1.310e+02 1.112e+03 7.960e+02 6.190e+02 8.110e+02\n", + " 1.090e+03 5.960e+02 2.120e+02 1.127e+03 1.110e+03 5.920e+02 7.140e+02\n", + " 5.700e+01 5.180e+02 2.050e+02 1.191e+03 1.422e+03 2.130e+02 1.002e+03\n", + " 7.950e+02 1.940e+02 7.500e+01 6.140e+02 9.510e+02 3.090e+02 3.820e+02\n", + " 3.730e+02 1.447e+03 1.505e+03 1.261e+03 1.290e+03 8.800e+02 4.150e+02\n", + " 5.540e+02 1.038e+03 1.154e+03 1.074e+03 1.182e+03 3.800e+02 1.562e+03\n", + " 1.721e+03 1.836e+03 9.050e+02 2.780e+02 1.332e+03 1.810e+02 4.650e+02\n", + " 1.118e+03 1.456e+03 1.009e+03 8.070e+02 1.810e+03 4.040e+02 7.600e+02\n", + " 7.990e+02 6.610e+02 4.160e+02 9.960e+02 7.560e+02 9.390e+02 8.950e+02\n", + " 9.140e+02 9.430e+02 2.710e+02 4.880e+02 7.010e+02 1.277e+03 4.550e+02\n", + " 3.690e+02 1.790e+02 8.090e+02 9.530e+02 2.080e+02 1.430e+02 5.760e+02\n", + " 3.470e+02 3.280e+02 7.940e+02 2.300e+02 2.610e+02 3.930e+02 6.840e+02\n", + " 4.640e+02 1.576e+03 1.122e+03 8.530e+02 1.162e+03 8.940e+02 9.750e+02\n", + " 4.750e+02 1.670e+02 6.910e+02 4.240e+02 3.050e+02 2.230e+02 5.260e+02\n", + " 2.960e+02 1.283e+03 1.564e+03 9.650e+02 9.090e+02 1.216e+03 1.136e+03\n", + " 1.460e+03 1.243e+03 8.970e+02 8.370e+02 1.490e+02 1.606e+03 1.224e+03\n", + " 3.370e+02 1.071e+03]\n", + "BsmtFin Type 2: ['Unf' 'LwQ' 'BLQ' 'Rec' nan 'GLQ' 'ALQ']\n", + "BsmtFin SF 2: [ 0. 144. 1120. 163. 168. 78. 119. 121. 117. 859. 981. 42.\n", + " 46. 81. 1029. 290. 132. 713. 162. 362. 240. 258. 174. 906.\n", + " 486. 350. 263. 1073. 692. 12. 159. 712. 668. 474. 453. 684.\n", + " 387. 688. 972. 127. 252. 334. 232. 480. 590. 284. 276. 472.\n", + " 239. 180. 294. 622. 495. 539. 479. 113. 1526. 360. 774. 364.\n", + " 596. 884. 311. 92. 216. 136. 32. 147. 1127. 466. 630. 201.\n", + " 345. 512. 230. 247. 661. 620. 202. 483. 750. 690. 105. 60.\n", + " 352. 102. 95. 465. 63. 262. 500. 670. 768. 393. 286. 450.\n", + " 177. 764. 344. 72. 243. 420. 210. 694. 875. 507. 435. 419.\n", + " 250. 116. 354. 820. 624. 273. 76. 270. 110. 288. 411. 228.\n", + " 186. 449. 48. 93. 438. 613. 852. 555. 841. 799. 811. 842.\n", + " 382. 182. 456. 80. 64. 336. 306. 308. 374. 872. 108. 52.\n", + " 196. 128. 488. 319. 532. 106. 169. 608. nan 41. 606. 645.\n", + " 492. 181. 956. 1080. 1063. 391. 380. 531. 723. 491. 120. 679.\n", + " 612. 40. 125. 279. 400. 208. 193. 823. 287. 175. 604. 153.\n", + " 35. 619. 139. 6. 351. 1031. 1037. 176. 829. 211. 264. 38.\n", + " 206. 167. 580. 543. 219. 259. 404. 468. 138. 955. 691. 66.\n", + " 96. 149. 154. 442. 448. 227. 546. 398. 469. 722. 761. 627.\n", + " 529. 522. 873. 891. 755. 1474. 634. 321. 915. 544. 417. 432.\n", + " 831. 278. 557. 150. 869. 1020. 530. 904. 499. 215. 1061. 377.\n", + " 791. 156. 1393. 1039. 375. 497. 1057. 526. 68. 402. 748. 28.\n", + " 165. 184. 281. 912. 600. 506. 373. 551. 982. 441. 682. 1085.\n", + " 826. 850. 1164. 1083. 337. 297. 547. 173. 396. 324. 123.]\n", + "Bsmt Unf SF: [ 441. 270. 406. ... 45. 1503. 239.]\n", + "Total Bsmt SF: [1080. 882. 1329. ... 1381. 757. 1003.]\n", + "Heating: ['GasA' 'GasW' 'Grav' 'Wall' 'Floor' 'OthW']\n", + "Heating QC: ['Fa' 'TA' 'Ex' 'Gd' 'Po']\n", + "Central Air: ['Y' 'N']\n", + "Electrical: ['SBrkr' 'FuseA' 'FuseF' 'FuseP' nan 'Mix']\n", + "1st Flr SF: [1656 896 1329 ... 2028 1003 1389]\n", + "2nd Flr SF: [ 0 701 678 776 892 676 1589 672 860 504 567 601 707 563\n", + " 862 630 1100 886 656 1151 1177 830 1122 1106 644 1185 783 956\n", + " 1128 828 888 790 730 584 1098 823 840 600 636 804 756 720\n", + " 550 873 754 1215 604 734 715 532 537 1169 505 546 1080 408\n", + " 475 788 687 348 765 424 606 185 686 1111 622 1044 602 582\n", + " 908 524 498 492 608 808 1074 780 662 1196 499 180 319 942\n", + " 744 240 689 714 954 192 864 558 755 838 887 1523 614 800\n", + " 878 703 1054 328 252 806 665 1788 772 748 1075 1152 358 380\n", + " 430 880 700 1194 1070 915 912 576 1216 650 615 645 704 663\n", + " 1275 670 631 833 684 809 785 779 978 988 1200 896 1134 868\n", + " 1103 816 839 741 467 586 1174 1325 568 1088 1012 762 1295 728\n", + " 745 742 876 716 1257 640 683 1276 1126 1032 793 695 1089 1038\n", + " 1097 1304 1221 1140 1336 1067 1274 967 1017 871 858 920 981 438\n", + " 1182 841 941 1209 897 591 786 702 918 1629 612 729 739 727\n", + " 983 782 660 1369 972 855 1315 224 556 960 457 685 726 322\n", + " 760 534 1296 368 768 629 813 406 548 517 455 496 690 994\n", + " 1000 682 646 560 677 564 1063 1320 917 624 826 561 596 653\n", + " 390 464 587 320 472 588 883 910 929 1040 784 462 649 425\n", + " 611 747 769 1114 1120 1619 902 718 815 966 836 834 913 844\n", + " 829 1116 573 885 926 977 807 738 1427 441 512 444 620 436\n", + " 545 998 595 448 332 523 1240 516 668 928 1157 432 846 566\n", + " 848 1020 717 1332 1370 857 1330 767 1420 866 1104 590 1237 898\n", + " 1158 1162 1096 1139 884 1285 778 1160 1053 639 1061 1250 1093 904\n", + " 1039 520 919 939 932 1028 843 861 842 794 825 850 893 1319\n", + " 959 625 792 628 924 1345 1066 732 1540 933 832 453 220 384\n", + " 412 510 182 501 581 375 680 1208 658 552 396 1818 797 540\n", + " 308 973 691 539 1254 363 473 594 378 554 208 468 651 445\n", + " 764 752 213 795 428 371 110 536 713 551 547 580 486 1051\n", + " 511 872 648 527 495 1721 1099 735 1072 899 870 895 903 1141\n", + " 1198 975 854 812 950 521 343 304 940 1611 811 673 442 890\n", + " 1479 817 943 330 420 936 167 688 766 770 1342 900 1377 845\n", + " 533 1402 1101 574 1036 570 1142 1238 1168 923 530 757 1048 796\n", + " 1112 1131 694 750 2065 1288 1407 1171 1277 1872 1015 1306 1203 995\n", + " 528 863 1426 925 1232 1357 743 976 761 1259 1008 984 1309 228\n", + " 992 500 544 1778 299 616 831 664 494 642 659 671 1031 336\n", + " 144 525 349 423 1164 356 698 245 592 1042 477 1005 971 1087\n", + " 638 400 376 1121 1414 1362 1092 916 882 927 874 914 881 869\n", + " 1242 1081 753 450 1133 674 1538 125 1440 787 531 585 514 775\n", + " 589 979 1001 851 1178 351 957 1340 1349 712 1243 955 709 990\n", + " 1384 1862 1371 1312 1405 1519 1392 1358 465 1347 1218 1060 466 1335\n", + " 814 488 1321 482 711 930 1286 985 1029 1796 1368 1567 1189 1323\n", + " 1234 798 1129 623 708 456 316 1360 1248 272 821 370 1007 518\n", + " 476 502 867 661 297 679 875 1518 605 810 325 434 583 634\n", + " 557 341 626 1836 541 454 1246 571 1037 1124 1045 989 827 1150\n", + " 312 526 218 980 403 493 736 818 901 610 725 549 1175 697\n", + " 439 360 1281 1230 1004]\n", + "Low Qual Fin SF: [ 0 390 362 144 1064 232 431 120 436 371 360 259 397 312\n", + " 513 108 205 156 697 420 384 473 512 528 114 479 515 53\n", + " 80 392 572 234 140 450 481 514]\n", + "Gr Liv Area: [1656 896 1329 ... 2028 2521 1003]\n", + "Bsmt Full Bath: [ 1. 0. 2. 3. nan]\n", + "Bsmt Half Bath: [ 0. 1. nan 2.]\n", + "Full Bath: [1 2 3 0 4]\n", + "Half Bath: [0 1 2]\n", + "Bedroom AbvGr: [3 2 1 4 6 5 0 8]\n", + "Kitchen AbvGr: [1 2 3 0]\n", + "Kitchen Qual: ['TA' 'Gd' 'Ex' 'Fa' 'Po']\n", + "TotRms AbvGrd: [ 7 5 6 8 4 12 10 11 9 3 13 2 15 14]\n", + "Functional: ['Typ' 'Mod' 'Min1' 'Min2' 'Maj1' 'Maj2' 'Sev' 'Sal']\n", + "Fireplaces: [2 0 1 3 4]\n", + "Fireplace Qu: ['Gd' nan 'TA' 'Po' 'Ex' 'Fa']\n", + "Garage Type: ['Attchd' 'BuiltIn' 'Basment' 'Detchd' nan 'CarPort' '2Types']\n", + "Garage Yr Blt: [1960. 1961. 1958. 1968. 1997. 1998. 2001. 1992. 1995. 1999. 1993. 1990.\n", + " 1985. 2003. 1988. 2010. 1951. 1978. 1977. 1974. 2000. 1970. 1971. nan\n", + " 1975. 2009. 2008. 2005. 2004. 2002. 2006. 1996. 1994. 1980. 1979. 1984.\n", + " 1986. 1920. 1987. 1973. 1963. 1962. 1976. 1967. 1972. 1966. 1964. 1950.\n", + " 1949. 1954. 1955. 1959. 1957. 1956. 1952. 1953. 1989. 1948. 1900. 1927.\n", + " 1915. 1945. 1940. 1938. 1928. 1930. 1926. 1939. 1942. 1923. 1917. 1910.\n", + " 1965. 1969. 1947. 1946. 1941. 1924. 1922. 1896. 2007. 1983. 1981. 1991.\n", + " 1982. 1916. 1925. 1936. 1935. 1931. 1934. 1929. 1918. 1921. 1937. 1932.\n", + " 1906. 1908. 1895. 1933. 2207. 1914. 1943. 1919.]\n", + "Garage Finish: ['Fin' 'Unf' 'RFn' nan]\n", + "Garage Cars: [ 2. 1. 3. 0. 4. 5. nan]\n", + "Garage Area: [ 528. 730. 312. 522. 482. 470. 582. 506. 608. 442. 440. 420.\n", + " 393. 841. 492. 834. 400. 500. 546. 663. 480. 304. 525. 0.\n", + " 511. 264. 320. 308. 751. 772. 606. 868. 532. 678. 820. 484.\n", + " 958. 756. 576. 474. 430. 437. 433. 434. 779. 962. 527. 712.\n", + " 671. 486. 666. 880. 676. 614. 750. 618. 463. 462. 457. 476.\n", + " 429. 539. 336. 280. 260. 461. 564. 762. 713. 588. 496. 852.\n", + " 592. 475. 596. 535. 660. 441. 490. 504. 517. 240. 364. 244.\n", + " 315. 578. 620. 447. 294. 531. 263. 318. 305. 246. 392. 330.\n", + " 720. 360. 551. 379. 220. 780. 288. 416. 624. 923. 560. 363.\n", + " 200. 572. 180. 516. 672. 349. 365. 231. 450. 270. 299. 591.\n", + " 533. 690. 436. 586. 366. 467. 209. 460. 1017. 574. 776. 632.\n", + " 740. 615. 594. 580. 513. 523. 850. 670. 613. 621. 598. 502.\n", + " 494. 319. 352. 216. 399. 252. 567. 473. 625. 384. 741. 573.\n", + " 888. 520. 680. 510. 431. 746. 686. 286. 253. 495. 616. 275.\n", + " 538. 390. 758. 499. 396. 427. 380. 409. 389. 343. 565. 1166.\n", + " 435. 544. 529. 479. 542. 478. 581. 552. 583. 902. 477. 345.\n", + " 656. 786. 754. 840. 890. 1390. 864. 836. 896. 900. 842. 1020.\n", + " 932. 640. 908. 927. 856. 700. 738. 862. 644. 968. 886. 871.\n", + " 626. 949. 685. 649. 701. 550. 397. 432. 554. 394. 658. 410.\n", + " 810. 1069. 889. 815. 647. 623. 711. 898. 972. 726. 844. 689.\n", + " 795. 984. 692. 812. 782. 1043. 438. 628. 845. 555. 788. 559.\n", + " 465. 612. 732. 300. 524. 704. 561. 641. 642. 540. 784. 497.\n", + " 515. 630. 498. 768. 472. 610. 549. 645. 368. 505. 418. 338.\n", + " 271. 792. 530. 514. 509. 297. 350. 884. 230. 281. 907. 483.\n", + " 210. 162. 324. 256. 273. 287. 357. 424. 456. 207. 192. 250.\n", + " 1184. 164. 316. 226. 668. 452. 284. 303. 340. 234. 290. 266.\n", + " 296. 425. 466. 1138. 826. 860. 846. 904. 702. 662. 569. 577.\n", + " 493. 622. 605. 444. 600. 1231. 570. 736. 521. 512. 451. 195.\n", + " 313. 342. 215. 282. 213. 307. 186. 295. 501. 468. 189. 351.\n", + " 541. 912. 650. 885. 471. 765. 920. 412. 402. 602. 698. 714.\n", + " 601. 386. 404. 406. 682. 683. 557. 619. 489. 1314. 439. 787.\n", + " 774. 1220. 858. 905. 866. 706. 1150. 1003. 789. 870. 1052. 944.\n", + " 388. 428. 398. 403. 696. 687. 938. 839. 983. 783. 691. 830.\n", + " 824. 851. 603. 648. 936. 562. 673. 575. 627. 276. 636. 545.\n", + " 469. 464. 831. 267. 283. 205. 377. 292. 458. 301. 1488. 372.\n", + " 401. 414. 311. 225. 828. 869. 370. 208. 160. 355. 228. 322.\n", + " 408. 354. 249. 534. 453. 1348. 874. 811. 558. 328. 725. 715.\n", + " 543. 595. 508. 721. 548. 814. 1418. 369. 599. 344. 1014. 924.\n", + " 356. 487. 185. 1248. 857. 816. 358. 665. 800. 749. 892. 257.\n", + " 423. 526. 373. 729. 1110. 556. 724. 481. 585. 488. 684. 367.\n", + " 818. 928. 1040. 878. 947. 895. 694. 1174. 728. 843. 916. 872.\n", + " 876. 631. 617. 454. 813. 925. 804. 806. 832. 455. 752. 933.\n", + " 1092. 865. 954. 825. 859. 590. 1025. 744. 566. 518. 611. 1105.\n", + " 571. 309. 306. 310. 293. 371. 1200. 254. 184. 374. 331. 224.\n", + " 217. 261. 323. 638. 739. 332. 719. 833. 894. 796. 674. 747.\n", + " 242. 597. 748. 639. 579. 1154. 248. nan 100. 722. 422. 808.\n", + " 995. 1041. 1356. 963. 443. 413. 773. 675. 716. 604. 485. 770.\n", + " 1085. 853. 708. 753. 899. 426. 807. 959. 803. 760. 1134. 584.\n", + " 1053. 449. 688. 757. 326. 568. 353. 791. 1008. 378. 258. 255.\n", + " 198. 459. 667. 445. 325. 848. 317. 646. 265. 609. 375. 272.\n", + " 327. 766. 693. 405.]\n", + "Garage Qual: ['TA' nan 'Fa' 'Gd' 'Ex' 'Po']\n", + "Garage Cond: ['TA' nan 'Fa' 'Gd' 'Ex' 'Po']\n", + "Paved Drive: ['P' 'Y' 'N']\n", + "Wood Deck SF: [ 210 140 393 0 212 360 237 157 483 192 503 325 113 349\n", + " 240 203 275 173 26 144 168 220 238 196 120 36 100 146\n", + " 288 180 668 23 186 132 283 169 80 635 28 353 370 121\n", + " 416 296 32 198 160 280 133 223 277 224 228 352 227 366\n", + " 117 263 301 42 252 250 264 364 414 218 222 657 84 51\n", + " 106 54 135 221 306 12 344 56 406 379 226 335 496 290\n", + " 268 336 44 450 156 105 367 71 316 365 188 331 60 257\n", + " 116 272 141 112 30 68 128 375 328 174 182 200 96 261\n", + " 431 22 287 129 162 269 48 201 52 256 232 342 63 322\n", + " 178 233 474 448 225 40 171 216 185 108 87 260 147 150\n", + " 404 382 319 99 184 125 165 248 114 230 170 172 208 231\n", + " 148 143 300 24 298 340 517 297 70 205 195 158 462 502\n", + " 115 501 371 235 294 312 321 78 85 164 110 55 289 66\n", + " 324 126 187 74 181 266 244 45 189 509 302 243 64 131\n", + " 476 234 400 73 154 123 486 276 392 72 215 58 262 202\n", + " 253 194 576 356 327 92 136 329 279 176 292 467 119 90\n", + " 305 124 270 308 33 138 303 214 152 550 16 411 209 358\n", + " 320 495 236 385 145 155 97 20 122 98 25 38 426 355\n", + " 490 88 76 418 265 49 57 204 311 102 511 409 50 307\n", + " 81 424 339 403 278 211 139 149 259 736 134 183 314 213\n", + " 161 318 428 670 282 315 362 245 219 390 167 407 35 130\n", + " 104 460 286 239 255 193 159 402 455 500 206 190 333 284\n", + " 285 14 521 380 127 646 142 386 405 546 118 242 291 166\n", + " 274 439 536 1424 690 330 421 95 441 246 351 197 384 444\n", + " 295 175 354 519 177 179 89 361 247 870 309 432 4 641\n", + " 153 857 94 86 191 75 631 229 436 345 520 199 27 394\n", + " 53 77 466 304 241 103 586 684 453 413 468 207 530 574\n", + " 326 728]\n", + "Open Porch SF: [ 62 0 36 34 82 152 60 84 21 75 54 12 122 120 96 85 68 55\n", + " 30 133 50 95 35 70 74 119 67 150 130 49 27 23 116 20 48 172\n", + " 56 32 57 81 86 136 45 168 102 104 144 39 111 166 44 192 184 42\n", + " 78 137 76 69 66 224 26 40 98 73 38 28 52 17 124 160 100 228\n", + " 108 18 158 10 11 132 58 90 22 46 278 92 33 61 59 77 25 262\n", + " 105 64 140 156 207 53 24 312 72 43 94 63 176 195 134 162 197 274\n", + " 170 273 185 190 114 235 183 16 51 103 128 146 126 165 226 121 112 175\n", + " 182 113 88 178 91 41 93 177 234 254 169 204 99 80 110 189 287 523\n", + " 15 135 198 188 215 155 142 222 193 29 151 240 200 148 201 118 154 238\n", + " 247 304 101 173 282 180 65 131 153 87 174 210 251 243 211 129 4 230\n", + " 213 547 291 502 299 365 139 216 89 117 236 8 187 159 106 372 292 141\n", + " 217 123 83 276 265 164 205 368 47 203 191 138 364 127 256 214 241 194\n", + " 285 324 208 171 570 244 231 484 406 742 444 252 263 266 97 37 250 246\n", + " 229 31 267 382 319 258 6 341 260 288 418 115 253 245 107 225 125 199]\n", + "Enclosed Porch: [ 0 170 184 154 80 220 186 156 120 112 150 164 189 205\n", + " 113 216 135 130 202 126 334 246 196 18 158 114 60 41\n", + " 128 35 48 32 64 364 40 318 248 168 45 239 176 77\n", + " 52 56 36 136 96 242 42 86 162 98 265 50 280 222\n", + " 144 209 24 91 236 218 228 84 264 260 240 203 140 252\n", + " 100 134 432 198 116 169 148 244 25 81 102 160 386 226\n", + " 238 115 94 208 105 54 51 34 268 30 213 288 90 192\n", + " 177 211 185 55 180 44 57 78 137 72 368 70 165 92\n", + " 16 123 66 210 68 109 194 139 219 259 212 20 101 87\n", + " 117 204 122 108 190 231 138 183 254 301 121 207 224 172\n", + " 174 99 249 291 145 214 275 290 175 26 143 230 88 39\n", + " 1012 43 286 19 584 200 133 234 37 324 552 161 75 167\n", + " 28 293 104 296 330 221 256 129 225 294 272 429 67 132\n", + " 23]\n", + "3Ssn Porch: [ 0 238 224 144 508 168 255 225 360 162 140 150 182 153 320 174 304 216\n", + " 407 96 245 120 219 180 196 176 86 23 290 323 130]\n", + "Screen Porch: [ 0 120 144 140 210 165 256 216 90 204 143 160 182 385 240 168 148 95\n", + " 266 166 116 161 200 155 108 291 490 170 192 180 156 196 197 152 121 92\n", + " 288 185 342 189 252 234 255 111 112 231 40 100 60 142 110 396 225 117\n", + " 195 145 224 115 198 233 190 141 208 80 176 94 164 178 273 130 480 220\n", + " 64 163 287 175 576 227 265 221 171 135 322 174 147 276 260 217 201 109\n", + " 99 150 126 259 184 84 154 53 153 228 138 263 88 280 123 440 374 119\n", + " 222 264 270 63 122 128 162 410 271 312 348 113 104]\n", + "Pool Area: [ 0 144 480 576 555 368 444 228 561 519 648 800 512 738]\n", + "Pool QC: [nan 'Ex' 'Gd' 'TA' 'Fa']\n", + "Fence: [nan 'MnPrv' 'GdPrv' 'GdWo' 'MnWw']\n", + "Misc Feature: [nan 'Gar2' 'Shed' 'Othr' 'Elev' 'TenC']\n", + "Misc Val: [ 0 12500 500 700 400 450 1500 300 600 1200 3500 2000\n", + " 2500 54 80 490 480 350 650 900 800 750 1400 6500\n", + " 1150 1000 4500 3000 560 1300 8300 15500 17000 1512 455 460\n", + " 620 420]\n", + "Mo Sold: [ 5 6 4 3 1 2 7 10 8 11 9 12]\n", + "Yr Sold: [2010 2009 2008 2007 2006]\n", + "Sale Type: ['WD ' 'New' 'COD' 'ConLI' 'Con' 'ConLD' 'Oth' 'ConLw' 'CWD' 'VWD']\n", + "Sale Condition: ['Normal' 'Partial' 'Family' 'Abnorml' 'Alloca' 'AdjLand']\n", + "SalePrice: [215000 105000 172000 ... 90500 71000 150900]\n", + "Order 2930\n", + "PID 2930\n", + "MS SubClass 16\n", + "MS Zoning 7\n", + "Lot Frontage 128\n", + " ... \n", + "Mo Sold 12\n", + "Yr Sold 5\n", + "Sale Type 10\n", + "Sale Condition 6\n", + "SalePrice 1032\n", + "Length: 82, dtype: int64\n" + ] + } + ], + "source": [ + "# TODO: Perform initial exploration of the dataset.\n", + "# - Check shape, column names, smaples\n", + "# - Get summary info, data types\n", + "# - Descriptive statistics\n", + "\n", + "df = df1.copy()\n", + "print(f\"Shape: {df.shape}\")\n", + "print(f\"Columns Name: {df.columns}\")\n", + "print(f\"Sample of Records: {df.sample}\")\n", + "\n", + "df.info()\n", + "df.dtypes\n", + "\n", + "print(df.describe())\n", + "print(df.describe(include='object'))\n", + "\n", + "for col in df.columns:\n", + " print(f\"{col}: {df[col].unique()}\")\n", + "\n", + "print(df.nunique())" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "quTZ6mJdjrDw" + }, + "source": [ + "## 🔹 Step 3: Missing Value Check & Handling" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "-0KdWkPqjs7y", + "outputId": "a7401ca1-452a-4801-c8dd-57a813c39aca" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(2930, 82)\n", + "(2930, 80)\n", + "# of nulls at the begining: 15749\n", + "Shape after drop columns with >50% missing values: (2930, 75)\n", + "# of nulls after drop columns with >50% missing values: 3143\n", + "# of nulls before Categurical filling: 2461\n", + "# of nulls at the end: 0\n" + ] + } + ], + "source": [ + "# TODO: Check missing values.\n", + "# Decide on a strategy (if needed):\n", + "# - Drop if too many are missing\n", + "# - Fill with mean/median/mode/domain-specific value\n", + "\n", + "print(df.shape)\n", + "if 'Order' in df.columns:\n", + " df.drop(columns=['Order'], inplace=True)\n", + "if 'PID' in df.columns:\n", + " df.drop(columns=['PID'], inplace=True)\n", + "print(df.shape)\n", + "print(\"# of nulls at the begining: \", df.isnull().sum().sum())\n", + "\n", + "# list columns with missing values\n", + "missing_counts = df.isnull().sum()\n", + "missing_cols = missing_counts[missing_counts > 0].sort_values(ascending=False)\n", + "# drop columns with more than 50% missing values\n", + "missing_pct = df.isnull().mean() * 100\n", + "cols_to_drop = missing_pct[missing_pct > 50].index.tolist()\n", + "df = df.drop(columns=cols_to_drop)\n", + "print(\"Shape after drop columns with >50% missing values: \", df.shape)\n", + "print(\"# of nulls after drop columns with >50% missing values: \", df.isnull().sum().sum())\n", + "\n", + "col_cat = df.select_dtypes(include='object').columns\n", + "col_num = df.select_dtypes(exclude='object').columns\n", + "for col in col_num:\n", + " df[col] = df[col].fillna(df[col].median())\n", + "print(\"# of nulls before Categurical filling: \", df.isnull().sum().sum())\n", + "for col in col_cat:\n", + " mod = df[col].mode()\n", + " mode_value = mod.iloc[0] # pick the first mode\n", + " df[col] = df[col].fillna(mode_value)\n", + "print(\"# of nulls at the end: \",df.isnull().sum().sum())\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "LWQY6vDEjyTu" + }, + "source": [ + "## 🔹 Step 4: Correlation Check & Feature Decision" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 0 + }, + "id": "MHwMZbX_jxKJ", + "outputId": "21c62f7c-f2bd-4837-f648-31cfbeb102b8" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# TODO: Check correlations between numerical features and target variable (SalePrice).\n", + "# Use correlation heatmap or pairplot.\n", + "# Decide which features to keep/remove based on correlation.\n", + "\n", + "import numpy as np\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Numeric-only correlation\n", + "corr = df.corr(numeric_only=True)\n", + "plt.figure(figsize=(10,6))\n", + "sns.heatmap(corr, cmap=\"coolwarm\")\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "exTa7T6qj2hv" + }, + "source": [ + "## 🔹 Step 5: Encode Categorical Variables" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "JBQbfP6jj1hS", + "outputId": "96116592-46d9-4a16-da40-b5140300a807" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['RL' 'RH' 'FV' 'RM' 'C (all)' 'I (all)' 'A (agr)']\n", + "['Pave' 'Grvl']\n", + "['IR1' 'Reg' 'IR2' 'IR3']\n", + "['Lvl' 'HLS' 'Bnk' 'Low']\n", + "['AllPub' 'NoSewr' 'NoSeWa']\n", + "['Corner' 'Inside' 'CulDSac' 'FR2' 'FR3']\n", + "['Gtl' 'Mod' 'Sev']\n", + "['NAmes' 'Gilbert' 'StoneBr' 'NWAmes' 'Somerst' 'BrDale' 'NPkVill'\n", + " 'NridgHt' 'Blmngtn' 'NoRidge' 'SawyerW' 'Sawyer' 'Greens' 'BrkSide'\n", + " 'OldTown' 'IDOTRR' 'ClearCr' 'SWISU' 'Edwards' 'CollgCr' 'Crawfor'\n", + " 'Blueste' 'Mitchel' 'Timber' 'MeadowV' 'Veenker' 'GrnHill' 'Landmrk']\n", + "['Norm' 'Feedr' 'PosN' 'RRNe' 'RRAe' 'Artery' 'PosA' 'RRAn' 'RRNn']\n", + "['Norm' 'Feedr' 'PosA' 'PosN' 'Artery' 'RRNn' 'RRAe' 'RRAn']\n", + "['1Fam' 'TwnhsE' 'Twnhs' 'Duplex' '2fmCon']\n", + "['1Story' '2Story' '1.5Fin' 'SFoyer' 'SLvl' '2.5Unf' '1.5Unf' '2.5Fin']\n", + "['Hip' 'Gable' 'Mansard' 'Gambrel' 'Shed' 'Flat']\n", + "['CompShg' 'WdShake' 'Tar&Grv' 'WdShngl' 'Membran' 'ClyTile' 'Roll'\n", + " 'Metal']\n", + "['BrkFace' 'VinylSd' 'Wd Sdng' 'CemntBd' 'HdBoard' 'Plywood' 'MetalSd'\n", + " 'AsbShng' 'WdShing' 'Stucco' 'AsphShn' 'BrkComm' 'CBlock' 'PreCast'\n", + " 'Stone' 'ImStucc']\n", + "['Plywood' 'VinylSd' 'Wd Sdng' 'BrkFace' 'CmentBd' 'HdBoard' 'Wd Shng'\n", + " 'MetalSd' 'ImStucc' 'Brk Cmn' 'AsbShng' 'Stucco' 'AsphShn' 'CBlock'\n", + " 'Stone' 'PreCast' 'Other']\n", + "['TA' 'Gd' 'Ex' 'Fa']\n", + "['TA' 'Gd' 'Fa' 'Po' 'Ex']\n", + "['CBlock' 'PConc' 'Wood' 'BrkTil' 'Slab' 'Stone']\n", + "['TA' 'Gd' 'Ex' 'Fa' 'Po']\n", + "['Gd' 'TA' 'Po' 'Fa' 'Ex']\n", + "['Gd' 'No' 'Mn' 'Av']\n", + "['BLQ' 'Rec' 'ALQ' 'GLQ' 'Unf' 'LwQ']\n", + "['Unf' 'LwQ' 'BLQ' 'Rec' 'GLQ' 'ALQ']\n", + "['GasA' 'GasW' 'Grav' 'Wall' 'Floor' 'OthW']\n", + "['Fa' 'TA' 'Ex' 'Gd' 'Po']\n", + "['Y' 'N']\n", + "['SBrkr' 'FuseA' 'FuseF' 'FuseP' 'Mix']\n", + "['TA' 'Gd' 'Ex' 'Fa' 'Po']\n", + "['Typ' 'Mod' 'Min1' 'Min2' 'Maj1' 'Maj2' 'Sev' 'Sal']\n", + "['Gd' 'TA' 'Po' 'Ex' 'Fa']\n", + "['Attchd' 'BuiltIn' 'Basment' 'Detchd' 'CarPort' '2Types']\n", + "['Fin' 'Unf' 'RFn']\n", + "['TA' 'Fa' 'Gd' 'Ex' 'Po']\n", + "['TA' 'Fa' 'Gd' 'Ex' 'Po']\n", + "['P' 'Y' 'N']\n", + "['WD ' 'New' 'COD' 'ConLI' 'Con' 'ConLD' 'Oth' 'ConLw' 'CWD' 'VWD']\n", + "['Normal' 'Partial' 'Family' 'Abnorml' 'Alloca' 'AdjLand']\n", + " MS SubClass Lot Frontage Lot Area Overall Qual Overall Cond \\\n", + "0 20 141.0 31770 6 5 \n", + "1 20 80.0 11622 5 6 \n", + "2 20 81.0 14267 6 6 \n", + "3 20 93.0 11160 7 5 \n", + "4 60 74.0 13830 5 5 \n", + "\n", + " Year Built Year Remod/Add Mas Vnr Area BsmtFin SF 1 BsmtFin SF 2 \\\n", + "0 1960 1960 112.0 639.0 0.0 \n", + "1 1961 1961 0.0 468.0 144.0 \n", + "2 1958 1958 108.0 923.0 0.0 \n", + "3 1968 1968 0.0 1065.0 0.0 \n", + "4 1997 1998 0.0 791.0 0.0 \n", + "\n", + " Bsmt Unf SF Total Bsmt SF 1st Flr SF 2nd Flr SF Low Qual Fin SF \\\n", + "0 441.0 1080.0 1656 0 0 \n", + "1 270.0 882.0 896 0 0 \n", + "2 406.0 1329.0 1329 0 0 \n", + "3 1045.0 2110.0 2110 0 0 \n", + "4 137.0 928.0 928 701 0 \n", + "\n", + " Gr Liv Area Bsmt Full Bath Bsmt Half Bath Full Bath Half Bath \\\n", + "0 1656 1.0 0.0 1 0 \n", + "1 896 0.0 0.0 1 0 \n", + "2 1329 0.0 0.0 1 1 \n", + "3 2110 1.0 0.0 2 1 \n", + "4 1629 0.0 0.0 2 1 \n", + "\n", + " Bedroom AbvGr Kitchen AbvGr TotRms AbvGrd Fireplaces Garage Yr Blt \\\n", + "0 3 1 7 2 1960.0 \n", + "1 2 1 5 0 1961.0 \n", + "2 3 1 6 0 1958.0 \n", + "3 3 1 8 2 1968.0 \n", + "4 3 1 6 1 1997.0 \n", + "\n", + " Garage Cars Garage Area Wood Deck SF Open Porch SF Enclosed Porch \\\n", + "0 2.0 528.0 210 62 0 \n", + "1 1.0 730.0 140 0 0 \n", + "2 1.0 312.0 393 36 0 \n", + "3 2.0 522.0 0 0 0 \n", + "4 2.0 482.0 212 34 0 \n", + "\n", + " 3Ssn Porch Screen Porch Pool Area Misc Val Mo Sold Yr Sold SalePrice \\\n", + "0 0 0 0 0 5 2010 215000 \n", + "1 0 120 0 0 6 2010 105000 \n", + "2 0 0 0 12500 6 2010 172000 \n", + "3 0 0 0 0 4 2010 244000 \n", + "4 0 0 0 0 3 2010 189900 \n", + "\n", + " MS Zoning_C (all) MS Zoning_FV MS Zoning_I (all) MS Zoning_RH \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " MS Zoning_RL MS Zoning_RM Street_Pave Lot Shape_IR2 Lot Shape_IR3 \\\n", + "0 1.0 0.0 1.0 0.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 0.0 \n", + "2 1.0 0.0 1.0 0.0 0.0 \n", + "3 1.0 0.0 1.0 0.0 0.0 \n", + "4 1.0 0.0 1.0 0.0 0.0 \n", + "\n", + " Lot Shape_Reg Land Contour_HLS Land Contour_Low Land Contour_Lvl \\\n", + "0 0.0 0.0 0.0 1.0 \n", + "1 1.0 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 1.0 \n", + "3 1.0 0.0 0.0 1.0 \n", + "4 0.0 0.0 0.0 1.0 \n", + "\n", + " Utilities_NoSeWa Utilities_NoSewr Lot Config_CulDSac Lot Config_FR2 \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Lot Config_FR3 Lot Config_Inside Land Slope_Mod Land Slope_Sev \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 0.0 \n", + "\n", + " Neighborhood_Blueste Neighborhood_BrDale Neighborhood_BrkSide \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_ClearCr Neighborhood_CollgCr Neighborhood_Crawfor \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_Edwards Neighborhood_Gilbert Neighborhood_Greens \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 \n", + "\n", + " Neighborhood_GrnHill Neighborhood_IDOTRR Neighborhood_Landmrk \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_MeadowV Neighborhood_Mitchel Neighborhood_NAmes \\\n", + "0 0.0 0.0 1.0 \n", + "1 0.0 0.0 1.0 \n", + "2 0.0 0.0 1.0 \n", + "3 0.0 0.0 1.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_NPkVill Neighborhood_NWAmes Neighborhood_NoRidge \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_NridgHt Neighborhood_OldTown Neighborhood_SWISU \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_Sawyer Neighborhood_SawyerW Neighborhood_Somerst \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_StoneBr Neighborhood_Timber Neighborhood_Veenker \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Condition 1_Feedr Condition 1_Norm Condition 1_PosA Condition 1_PosN \\\n", + "0 0.0 1.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 0.0 \n", + "\n", + " Condition 1_RRAe Condition 1_RRAn Condition 1_RRNe Condition 1_RRNn \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Condition 2_Feedr Condition 2_Norm Condition 2_PosA Condition 2_PosN \\\n", + "0 0.0 1.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 0.0 \n", + "\n", + " Condition 2_RRAe Condition 2_RRAn Condition 2_RRNn Bldg Type_2fmCon \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Bldg Type_Duplex Bldg Type_Twnhs Bldg Type_TwnhsE House Style_1.5Unf \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " House Style_1Story House Style_2.5Fin House Style_2.5Unf \\\n", + "0 1.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 \n", + "2 1.0 0.0 0.0 \n", + "3 1.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " House Style_2Story House Style_SFoyer House Style_SLvl Roof Style_Gable \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 1.0 0.0 0.0 1.0 \n", + "\n", + " Roof Style_Gambrel Roof Style_Hip Roof Style_Mansard Roof Style_Shed \\\n", + "0 0.0 1.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Roof Matl_CompShg Roof Matl_Membran Roof Matl_Metal Roof Matl_Roll \\\n", + "0 1.0 0.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 0.0 \n", + "2 1.0 0.0 0.0 0.0 \n", + "3 1.0 0.0 0.0 0.0 \n", + "4 1.0 0.0 0.0 0.0 \n", + "\n", + " Roof Matl_Tar&Grv Roof Matl_WdShake Roof Matl_WdShngl \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 1st_AsphShn Exterior 1st_BrkComm Exterior 1st_BrkFace \\\n", + "0 0.0 0.0 1.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 1.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 1st_CBlock Exterior 1st_CemntBd Exterior 1st_HdBoard \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 1st_ImStucc Exterior 1st_MetalSd Exterior 1st_Plywood \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 1st_PreCast Exterior 1st_Stone Exterior 1st_Stucco \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 1st_VinylSd Exterior 1st_Wd Sdng Exterior 1st_WdShing \\\n", + "0 0.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 1.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_AsphShn Exterior 2nd_Brk Cmn Exterior 2nd_BrkFace \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 1.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_CBlock Exterior 2nd_CmentBd Exterior 2nd_HdBoard \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_ImStucc Exterior 2nd_MetalSd Exterior 2nd_Other \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_Plywood Exterior 2nd_PreCast Exterior 2nd_Stone \\\n", + "0 1.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_Stucco Exterior 2nd_VinylSd Exterior 2nd_Wd Sdng \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 \n", + "2 0.0 0.0 1.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 \n", + "\n", + " Exterior 2nd_Wd Shng Exter Qual_Fa Exter Qual_Gd Exter Qual_TA \\\n", + "0 0.0 0.0 0.0 1.0 \n", + "1 0.0 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 1.0 \n", + "3 0.0 0.0 1.0 0.0 \n", + "4 0.0 0.0 0.0 1.0 \n", + "\n", + " Exter Cond_Fa Exter Cond_Gd Exter Cond_Po Exter Cond_TA \\\n", + "0 0.0 0.0 0.0 1.0 \n", + "1 0.0 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 1.0 \n", + "3 0.0 0.0 0.0 1.0 \n", + "4 0.0 0.0 0.0 1.0 \n", + "\n", + " Foundation_CBlock Foundation_PConc Foundation_Slab Foundation_Stone \\\n", + "0 1.0 0.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 0.0 \n", + "2 1.0 0.0 0.0 0.0 \n", + "3 1.0 0.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 0.0 \n", + "\n", + " Foundation_Wood Bsmt Qual_Fa Bsmt Qual_Gd Bsmt Qual_Po Bsmt Qual_TA \\\n", + "0 0.0 0.0 0.0 0.0 1.0 \n", + "1 0.0 0.0 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 0.0 1.0 \n", + "3 0.0 0.0 0.0 0.0 1.0 \n", + "4 0.0 0.0 1.0 0.0 0.0 \n", + "\n", + " Bsmt Cond_Fa Bsmt Cond_Gd Bsmt Cond_Po Bsmt Cond_TA Bsmt Exposure_Gd \\\n", + "0 0.0 1.0 0.0 0.0 1.0 \n", + "1 0.0 0.0 0.0 1.0 0.0 \n", + "2 0.0 0.0 0.0 1.0 0.0 \n", + "3 0.0 0.0 0.0 1.0 0.0 \n", + "4 0.0 0.0 0.0 1.0 0.0 \n", + "\n", + " Bsmt Exposure_Mn Bsmt Exposure_No BsmtFin Type 1_BLQ BsmtFin Type 1_GLQ \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 1.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 1.0 \n", + "\n", + " BsmtFin Type 1_LwQ BsmtFin Type 1_Rec BsmtFin Type 1_Unf \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " BsmtFin Type 2_BLQ BsmtFin Type 2_GLQ BsmtFin Type 2_LwQ \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " BsmtFin Type 2_Rec BsmtFin Type 2_Unf Heating_GasA Heating_GasW \\\n", + "0 0.0 1.0 1.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 0.0 1.0 1.0 0.0 \n", + "3 0.0 1.0 1.0 0.0 \n", + "4 0.0 1.0 1.0 0.0 \n", + "\n", + " Heating_Grav Heating_OthW Heating_Wall Heating QC_Fa Heating QC_Gd \\\n", + "0 0.0 0.0 0.0 1.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 1.0 \n", + "\n", + " Heating QC_Po Heating QC_TA Central Air_Y Electrical_FuseF \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 1.0 1.0 0.0 \n", + "2 0.0 1.0 1.0 0.0 \n", + "3 0.0 0.0 1.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 \n", + "\n", + " Electrical_FuseP Electrical_Mix Electrical_SBrkr Kitchen Qual_Fa \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 0.0 0.0 1.0 0.0 \n", + "3 0.0 0.0 1.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 \n", + "\n", + " Kitchen Qual_Gd Kitchen Qual_Po Kitchen Qual_TA Functional_Maj2 \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 1.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 \n", + "\n", + " Functional_Min1 Functional_Min2 Functional_Mod Functional_Sal \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Functional_Sev Functional_Typ Fireplace Qu_Fa Fireplace Qu_Gd \\\n", + "0 0.0 1.0 0.0 1.0 \n", + "1 0.0 1.0 0.0 1.0 \n", + "2 0.0 1.0 0.0 1.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 0.0 \n", + "\n", + " Fireplace Qu_Po Fireplace Qu_TA Garage Type_Attchd Garage Type_Basment \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 0.0 0.0 1.0 0.0 \n", + "3 0.0 1.0 1.0 0.0 \n", + "4 0.0 1.0 1.0 0.0 \n", + "\n", + " Garage Type_BuiltIn Garage Type_CarPort Garage Type_Detchd \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Garage Finish_RFn Garage Finish_Unf Garage Qual_Fa Garage Qual_Gd \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Garage Qual_Po Garage Qual_TA Garage Cond_Fa Garage Cond_Gd \\\n", + "0 0.0 1.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 0.0 \n", + "\n", + " Garage Cond_Po Garage Cond_TA Paved Drive_P Paved Drive_Y \\\n", + "0 0.0 1.0 1.0 0.0 \n", + "1 0.0 1.0 0.0 1.0 \n", + "2 0.0 1.0 0.0 1.0 \n", + "3 0.0 1.0 0.0 1.0 \n", + "4 0.0 1.0 0.0 1.0 \n", + "\n", + " Sale Type_CWD Sale Type_Con Sale Type_ConLD Sale Type_ConLI \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Sale Type_ConLw Sale Type_New Sale Type_Oth Sale Type_VWD \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Sale Type_WD Sale Condition_AdjLand Sale Condition_Alloca \\\n", + "0 1.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 \n", + "2 1.0 0.0 0.0 \n", + "3 1.0 0.0 0.0 \n", + "4 1.0 0.0 0.0 \n", + "\n", + " Sale Condition_Family Sale Condition_Normal Sale Condition_Partial \n", + "0 0.0 1.0 0.0 \n", + "1 0.0 1.0 0.0 \n", + "2 0.0 1.0 0.0 \n", + "3 0.0 1.0 0.0 \n", + "4 0.0 1.0 0.0 \n" + ] + } + ], + "source": [ + "# TODO: Identify categorical variables.\n", + "# Use methods like:\n", + "# - One-hot encoding\n", + "# - Ordinal encoding\n", + "# Decide what makes sense for each feature.\n", + "\n", + "from sklearn.preprocessing import LabelEncoder, OrdinalEncoder, OneHotEncoder\n", + "\n", + "for col in col_cat:\n", + " print(df[col].unique())\n", + "\n", + "# df_oe = df.copy() # keep a separate version\n", + "# ordinal_encoders = {}\n", + "# for col in col_cat:\n", + "# oe = OrdinalEncoder()\n", + "# df_oe[col] = oe.fit_transform(df_oe[col].values.reshape(-1, 1))\n", + "# ordinal_encoders[col] = oe # store encoder if needed later\n", + "# print(df_oe.head())\n", + "\n", + "df_ohe = df.copy() # keep a separate version\n", + "label_encoders = {}\n", + "ohe = OneHotEncoder(drop=\"first\", sparse_output=False) # Set sparse_output to False\n", + "encoded = ohe.fit_transform(df[col_cat])\n", + "\n", + "encoded_df = pd.DataFrame(encoded, columns=ohe.get_feature_names_out(col_cat), index=df.index)\n", + "df = pd.concat([df.drop(columns=col_cat), encoded_df], axis=1)\n", + "\n", + "print(df.head())\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ayerWnrFj-OS" + }, + "source": [ + "## 🔹 Step 6: Feature Scaling" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "cmOzqeCcj9_P", + "outputId": "1bca511f-1544-4bcd-cf91-f5de73de6e9c" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MS SubClass Lot Frontage Lot Area Overall Qual Overall Cond \\\n", + "0 0.000000 0.410959 0.142420 0.555556 0.500 \n", + "1 0.000000 0.202055 0.048246 0.444444 0.625 \n", + "2 0.000000 0.205479 0.060609 0.555556 0.625 \n", + "3 0.000000 0.246575 0.046087 0.666667 0.500 \n", + "4 0.235294 0.181507 0.058566 0.444444 0.500 \n", + "\n", + " Year Built Year Remod/Add Mas Vnr Area BsmtFin SF 1 BsmtFin SF 2 \\\n", + "0 0.637681 0.166667 0.0700 0.113218 0.000000 \n", + "1 0.644928 0.183333 0.0000 0.082920 0.094364 \n", + "2 0.623188 0.133333 0.0675 0.163536 0.000000 \n", + "3 0.695652 0.300000 0.0000 0.188696 0.000000 \n", + "4 0.905797 0.800000 0.0000 0.140149 0.000000 \n", + "\n", + " Bsmt Unf SF Total Bsmt SF 1st Flr SF 2nd Flr SF Low Qual Fin SF \\\n", + "0 0.188784 0.176759 0.277673 0.000000 0.0 \n", + "1 0.115582 0.144354 0.118042 0.000000 0.0 \n", + "2 0.173801 0.217512 0.208990 0.000000 0.0 \n", + "3 0.447346 0.345336 0.373031 0.000000 0.0 \n", + "4 0.058647 0.151882 0.124764 0.339467 0.0 \n", + "\n", + " Gr Liv Area Bsmt Full Bath Bsmt Half Bath Full Bath Half Bath \\\n", + "0 0.249058 0.333333 0.0 0.25 0.0 \n", + "1 0.105878 0.000000 0.0 0.25 0.0 \n", + "2 0.187453 0.000000 0.0 0.25 0.5 \n", + "3 0.334589 0.333333 0.0 0.50 0.5 \n", + "4 0.243971 0.000000 0.0 0.50 0.5 \n", + "\n", + " Bedroom AbvGr Kitchen AbvGr TotRms AbvGrd Fireplaces Garage Yr Blt \\\n", + "0 0.375 0.333333 0.384615 0.50 0.208333 \n", + "1 0.250 0.333333 0.230769 0.00 0.211538 \n", + "2 0.375 0.333333 0.307692 0.00 0.201923 \n", + "3 0.375 0.333333 0.461538 0.50 0.233974 \n", + "4 0.375 0.333333 0.307692 0.25 0.326923 \n", + "\n", + " Garage Cars Garage Area Wood Deck SF Open Porch SF Enclosed Porch \\\n", + "0 0.4 0.354839 0.147472 0.083558 0.0 \n", + "1 0.2 0.490591 0.098315 0.000000 0.0 \n", + "2 0.2 0.209677 0.275983 0.048518 0.0 \n", + "3 0.4 0.350806 0.000000 0.000000 0.0 \n", + "4 0.4 0.323925 0.148876 0.045822 0.0 \n", + "\n", + " 3Ssn Porch Screen Porch Pool Area Misc Val Mo Sold Yr Sold \\\n", + "0 0.0 0.000000 0.0 0.000000 0.363636 1.0 \n", + "1 0.0 0.208333 0.0 0.000000 0.454545 1.0 \n", + "2 0.0 0.000000 0.0 0.735294 0.454545 1.0 \n", + "3 0.0 0.000000 0.0 0.000000 0.272727 1.0 \n", + "4 0.0 0.000000 0.0 0.000000 0.181818 1.0 \n", + "\n", + " SalePrice MS Zoning_C (all) MS Zoning_FV MS Zoning_I (all) \\\n", + "0 0.272444 0.0 0.0 0.0 \n", + "1 0.124238 0.0 0.0 0.0 \n", + "2 0.214509 0.0 0.0 0.0 \n", + "3 0.311517 0.0 0.0 0.0 \n", + "4 0.238626 0.0 0.0 0.0 \n", + "\n", + " MS Zoning_RH MS Zoning_RL MS Zoning_RM Street_Pave Lot Shape_IR2 \\\n", + "0 0.0 1.0 0.0 1.0 0.0 \n", + "1 1.0 0.0 0.0 1.0 0.0 \n", + "2 0.0 1.0 0.0 1.0 0.0 \n", + "3 0.0 1.0 0.0 1.0 0.0 \n", + "4 0.0 1.0 0.0 1.0 0.0 \n", + "\n", + " Lot Shape_IR3 Lot Shape_Reg Land Contour_HLS Land Contour_Low \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Land Contour_Lvl Utilities_NoSeWa Utilities_NoSewr Lot Config_CulDSac \\\n", + "0 1.0 0.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 0.0 \n", + "2 1.0 0.0 0.0 0.0 \n", + "3 1.0 0.0 0.0 0.0 \n", + "4 1.0 0.0 0.0 0.0 \n", + "\n", + " Lot Config_FR2 Lot Config_FR3 Lot Config_Inside Land Slope_Mod \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 \n", + "\n", + " Land Slope_Sev Neighborhood_Blueste Neighborhood_BrDale \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_BrkSide Neighborhood_ClearCr Neighborhood_CollgCr \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_Crawfor Neighborhood_Edwards Neighborhood_Gilbert \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 1.0 \n", + "\n", + " Neighborhood_Greens Neighborhood_GrnHill Neighborhood_IDOTRR \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_Landmrk Neighborhood_MeadowV Neighborhood_Mitchel \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_NAmes Neighborhood_NPkVill Neighborhood_NWAmes \\\n", + "0 1.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 \n", + "2 1.0 0.0 0.0 \n", + "3 1.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_NoRidge Neighborhood_NridgHt Neighborhood_OldTown \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_SWISU Neighborhood_Sawyer Neighborhood_SawyerW \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_Somerst Neighborhood_StoneBr Neighborhood_Timber \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_Veenker Condition 1_Feedr Condition 1_Norm \\\n", + "0 0.0 0.0 1.0 \n", + "1 0.0 1.0 0.0 \n", + "2 0.0 0.0 1.0 \n", + "3 0.0 0.0 1.0 \n", + "4 0.0 0.0 1.0 \n", + "\n", + " Condition 1_PosA Condition 1_PosN Condition 1_RRAe Condition 1_RRAn \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Condition 1_RRNe Condition 1_RRNn Condition 2_Feedr Condition 2_Norm \\\n", + "0 0.0 0.0 0.0 1.0 \n", + "1 0.0 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 1.0 \n", + "3 0.0 0.0 0.0 1.0 \n", + "4 0.0 0.0 0.0 1.0 \n", + "\n", + " Condition 2_PosA Condition 2_PosN Condition 2_RRAe Condition 2_RRAn \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Condition 2_RRNn Bldg Type_2fmCon Bldg Type_Duplex Bldg Type_Twnhs \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Bldg Type_TwnhsE House Style_1.5Unf House Style_1Story \\\n", + "0 0.0 0.0 1.0 \n", + "1 0.0 0.0 1.0 \n", + "2 0.0 0.0 1.0 \n", + "3 0.0 0.0 1.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " House Style_2.5Fin House Style_2.5Unf House Style_2Story \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 1.0 \n", + "\n", + " House Style_SFoyer House Style_SLvl Roof Style_Gable Roof Style_Gambrel \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 \n", + "\n", + " Roof Style_Hip Roof Style_Mansard Roof Style_Shed Roof Matl_CompShg \\\n", + "0 1.0 0.0 0.0 1.0 \n", + "1 0.0 0.0 0.0 1.0 \n", + "2 1.0 0.0 0.0 1.0 \n", + "3 1.0 0.0 0.0 1.0 \n", + "4 0.0 0.0 0.0 1.0 \n", + "\n", + " Roof Matl_Membran Roof Matl_Metal Roof Matl_Roll Roof Matl_Tar&Grv \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Roof Matl_WdShake Roof Matl_WdShngl Exterior 1st_AsphShn \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 1st_BrkComm Exterior 1st_BrkFace Exterior 1st_CBlock \\\n", + "0 0.0 1.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 1st_CemntBd Exterior 1st_HdBoard Exterior 1st_ImStucc \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 1st_MetalSd Exterior 1st_Plywood Exterior 1st_PreCast \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 1st_Stone Exterior 1st_Stucco Exterior 1st_VinylSd \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 1.0 \n", + "\n", + " Exterior 1st_Wd Sdng Exterior 1st_WdShing Exterior 2nd_AsphShn \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 1.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_Brk Cmn Exterior 2nd_BrkFace Exterior 2nd_CBlock \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_CmentBd Exterior 2nd_HdBoard Exterior 2nd_ImStucc \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_MetalSd Exterior 2nd_Other Exterior 2nd_Plywood \\\n", + "0 0.0 0.0 1.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_PreCast Exterior 2nd_Stone Exterior 2nd_Stucco \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_VinylSd Exterior 2nd_Wd Sdng Exterior 2nd_Wd Shng \\\n", + "0 0.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 1.0 0.0 0.0 \n", + "\n", + " Exter Qual_Fa Exter Qual_Gd Exter Qual_TA Exter Cond_Fa Exter Cond_Gd \\\n", + "0 0.0 0.0 1.0 0.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 0.0 \n", + "2 0.0 0.0 1.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 0.0 \n", + "\n", + " Exter Cond_Po Exter Cond_TA Foundation_CBlock Foundation_PConc \\\n", + "0 0.0 1.0 1.0 0.0 \n", + "1 0.0 1.0 1.0 0.0 \n", + "2 0.0 1.0 1.0 0.0 \n", + "3 0.0 1.0 1.0 0.0 \n", + "4 0.0 1.0 0.0 1.0 \n", + "\n", + " Foundation_Slab Foundation_Stone Foundation_Wood Bsmt Qual_Fa \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Bsmt Qual_Gd Bsmt Qual_Po Bsmt Qual_TA Bsmt Cond_Fa Bsmt Cond_Gd \\\n", + "0 0.0 0.0 1.0 0.0 1.0 \n", + "1 0.0 0.0 1.0 0.0 0.0 \n", + "2 0.0 0.0 1.0 0.0 0.0 \n", + "3 0.0 0.0 1.0 0.0 0.0 \n", + "4 1.0 0.0 0.0 0.0 0.0 \n", + "\n", + " Bsmt Cond_Po Bsmt Cond_TA Bsmt Exposure_Gd Bsmt Exposure_Mn \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 1.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 0.0 \n", + "\n", + " Bsmt Exposure_No BsmtFin Type 1_BLQ BsmtFin Type 1_GLQ \\\n", + "0 0.0 1.0 0.0 \n", + "1 1.0 0.0 0.0 \n", + "2 1.0 0.0 0.0 \n", + "3 1.0 0.0 0.0 \n", + "4 1.0 0.0 1.0 \n", + "\n", + " BsmtFin Type 1_LwQ BsmtFin Type 1_Rec BsmtFin Type 1_Unf \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " BsmtFin Type 2_BLQ BsmtFin Type 2_GLQ BsmtFin Type 2_LwQ \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " BsmtFin Type 2_Rec BsmtFin Type 2_Unf Heating_GasA Heating_GasW \\\n", + "0 0.0 1.0 1.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 0.0 1.0 1.0 0.0 \n", + "3 0.0 1.0 1.0 0.0 \n", + "4 0.0 1.0 1.0 0.0 \n", + "\n", + " Heating_Grav Heating_OthW Heating_Wall Heating QC_Fa Heating QC_Gd \\\n", + "0 0.0 0.0 0.0 1.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 1.0 \n", + "\n", + " Heating QC_Po Heating QC_TA Central Air_Y Electrical_FuseF \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 1.0 1.0 0.0 \n", + "2 0.0 1.0 1.0 0.0 \n", + "3 0.0 0.0 1.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 \n", + "\n", + " Electrical_FuseP Electrical_Mix Electrical_SBrkr Kitchen Qual_Fa \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 0.0 0.0 1.0 0.0 \n", + "3 0.0 0.0 1.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 \n", + "\n", + " Kitchen Qual_Gd Kitchen Qual_Po Kitchen Qual_TA Functional_Maj2 \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 1.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 \n", + "\n", + " Functional_Min1 Functional_Min2 Functional_Mod Functional_Sal \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Functional_Sev Functional_Typ Fireplace Qu_Fa Fireplace Qu_Gd \\\n", + "0 0.0 1.0 0.0 1.0 \n", + "1 0.0 1.0 0.0 1.0 \n", + "2 0.0 1.0 0.0 1.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 0.0 \n", + "\n", + " Fireplace Qu_Po Fireplace Qu_TA Garage Type_Attchd Garage Type_Basment \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 0.0 0.0 1.0 0.0 \n", + "3 0.0 1.0 1.0 0.0 \n", + "4 0.0 1.0 1.0 0.0 \n", + "\n", + " Garage Type_BuiltIn Garage Type_CarPort Garage Type_Detchd \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Garage Finish_RFn Garage Finish_Unf Garage Qual_Fa Garage Qual_Gd \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Garage Qual_Po Garage Qual_TA Garage Cond_Fa Garage Cond_Gd \\\n", + "0 0.0 1.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 0.0 \n", + "\n", + " Garage Cond_Po Garage Cond_TA Paved Drive_P Paved Drive_Y \\\n", + "0 0.0 1.0 1.0 0.0 \n", + "1 0.0 1.0 0.0 1.0 \n", + "2 0.0 1.0 0.0 1.0 \n", + "3 0.0 1.0 0.0 1.0 \n", + "4 0.0 1.0 0.0 1.0 \n", + "\n", + " Sale Type_CWD Sale Type_Con Sale Type_ConLD Sale Type_ConLI \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Sale Type_ConLw Sale Type_New Sale Type_Oth Sale Type_VWD \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Sale Type_WD Sale Condition_AdjLand Sale Condition_Alloca \\\n", + "0 1.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 \n", + "2 1.0 0.0 0.0 \n", + "3 1.0 0.0 0.0 \n", + "4 1.0 0.0 0.0 \n", + "\n", + " Sale Condition_Family Sale Condition_Normal Sale Condition_Partial \n", + "0 0.0 1.0 0.0 \n", + "1 0.0 1.0 0.0 \n", + "2 0.0 1.0 0.0 \n", + "3 0.0 1.0 0.0 \n", + "4 0.0 1.0 0.0 \n" + ] + } + ], + "source": [ + "# TODO: Try different scaling techniques:\n", + "# - StandardScaler\n", + "# - MinMaxScaler\n", + "# - RobustScaler\n", + "# Decide based on the distribution of features.\n", + "\n", + "# print(df.head())\n", + "from sklearn.preprocessing import StandardScaler, MinMaxScaler, RobustScaler\n", + "# df_ss = df.copy()\n", + "# df_mm = df.copy()\n", + "# df_rs = df.copy()\n", + "\n", + "# scaler = StandardScaler()\n", + "# df_ss[col_num] = scaler.fit_transform(df_ss[col_num])\n", + "# print(df_ss.head())\n", + "\n", + "# col_num = df1.select_dtypes(exclude='object').columns\n", + "scaler = MinMaxScaler()\n", + "df[col_num] = scaler.fit_transform(df[col_num])\n", + "print(df.head())\n", + "\n", + "# scaler = RobustScaler()\n", + "# df_rs[col_num] = scaler.fit_transform(df_rs[col_num])\n", + "# print(df_rs.head())\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "B8NozkS2kCDE" + }, + "source": [ + "## 🔹 Step 7: Feature Selection & Feature Creation 💡" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "irzYn2YHkFuu", + "outputId": "647e3753-3f28-4f7b-fbce-7a5ae5ccc5ac" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Index(['MS SubClass', 'Lot Frontage', 'Lot Area', 'Overall Qual',\n", + " 'Overall Cond', 'Year Built', 'Year Remod/Add', 'Mas Vnr Area',\n", + " 'BsmtFin SF 1', 'BsmtFin SF 2',\n", + " ...\n", + " 'Sale Type_VWD', 'Sale Type_WD ', 'Sale Condition_AdjLand',\n", + " 'Sale Condition_Alloca', 'Sale Condition_Family',\n", + " 'Sale Condition_Normal', 'Sale Condition_Partial', 'HouseRenew',\n", + " 'Quality_x_Size', 'Log_LotArea'],\n", + " dtype='object', length=250)\n" + ] + } + ], + "source": [ + "# TODO: Create at least 2 NEW features.\n", + "# Examples:\n", + "# - Age of house: df[\"HouseAge\"] = df[\"YrSold\"] - df[\"YearBuilt\"]\n", + "# - Interaction: df[\"Quality_x_Size\"] = df[\"OverallQual\"] * df[\"GrLivArea\"]\n", + "# - Non-linear: df[\"Log_LotArea\"] = np.log1p(df[\"LotArea\"])\n", + "\n", + "df[\"HouseRenew\"] = df[\"Year Remod/Add\"] - df[\"Year Built\"]\n", + "df[\"Quality_x_Size\"] = df[\"Overall Qual\"] * df[\"Gr Liv Area\"]\n", + "df[\"Log_LotArea\"] = np.log1p(df[\"Lot Area\"])\n", + "\n", + "print(df.columns)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "neYQVXyLpYqe" + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ohlGPfhykRMs" + }, + "source": [ + "## 🔹 Step 8: Outlier Handling" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "l0Yx7uH5kP_H", + "outputId": "4bcb801e-ccbe-4b66-b371-80bbecade088" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(2051, 250)\n", + "(1846, 250)\n", + "(1084, 250)\n", + "(1084, 250)\n" + ] + } + ], + "source": [ + "# TODO: Detect and handle outliers.\n", + "# Methods:\n", + "# - IQR rule\n", + "# - Z-score\n", + "# - Visualization (boxplots, scatterplots)\n", + "\n", + "z_scores = np.abs((df[col_num] - df[col_num].mean()) / df[col_num].std())\n", + "outliers = (z_scores > 3).any(axis=1)\n", + "print(df[~outliers].shape)\n", + "\n", + "Q1 = df[col_num].quantile(0.25)\n", + "Q3 = df[col_num].quantile(0.75)\n", + "IQR = Q3 - Q1\n", + "outliers = ((df[col_num] < (Q1 - 1.5 * IQR)) | (df[col_num] > (Q3 + 1.5 * IQR))).any(axis=1)\n", + "print(df[outliers].shape)\n", + "print(df[~outliers].shape)\n", + "\n", + "df = df[~outliers]\n", + "print(df.shape)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "nDirz02_kU1e" + }, + "source": [ + "## 🔹 Step 9: Skewness Handling" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "id": "Bz0Kke71kTxQ", + "outputId": "48c01b20-9e1e-47f9-cd82-7682cd591927" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "MS SubClass\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.886349 -0.013707 1.504796e-31\n", + "1 Log1p 0.637040 -0.551829 1.237427e-19\n", + "2 Sqrt 0.054876 -1.504534 4.793558e-23\n", + "3 Box-Cox λ=0.075 -0.305718 -1.871246 9.786283e-39\n", + "4 Yeo–Johnson λ=-2.499 0.170848 -1.395905 5.544180e-21\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Lot Frontage\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original -0.164109 0.435822 1.203745e-03\n", + "1 Log1p -0.300100 0.491827 1.242747e-06\n", + "2 Sqrt -0.736394 1.091410 1.104070e-33\n", + "3 Box-Cox λ=1.175 0.020738 0.384830 3.393478e-02\n", + "4 Yeo–Johnson λ=2.291 0.011579 0.423758 1.712140e-02\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Lot Area\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.193318 0.491558 1.458799e-04\n", + "1 Log1p 0.148704 0.458555 1.175331e-03\n", + "2 Sqrt -0.503415 0.730164 6.742263e-16\n", + "3 Box-Cox λ=0.874 0.025518 0.446418 1.046792e-02\n", + "4 Yeo–Johnson λ=-3.504 -0.005552 0.381210 3.745513e-02\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Overall Qual\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original -0.041368 -0.626607 0.000121\n", + "1 Log1p -0.225678 -0.518858 0.000023\n", + "2 Sqrt -0.315054 -0.371808 0.000006\n", + "3 Box-Cox λ=0.981 -0.051116 -0.622330 0.000126\n", + "4 Yeo–Johnson λ=1.115 -0.020577 -0.631373 0.000118\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Overall Cond\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 1.315890 0.667405 5.008987e-73\n", + "1 Log1p 1.234379 0.560111 1.401963e-63\n", + "2 Sqrt 1.199503 0.539343 5.021128e-60\n", + "3 Box-Cox λ=-2.344 -0.149502 3.012413 1.320834e-90\n", + "4 Yeo–Johnson λ=-8.828 -0.118200 2.786273 2.044973e-77\n" + ] + }, + { + "data": { + "image/png": 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    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Year Built\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original -0.984449 0.007311 9.524967e-39\n", + "1 Log1p -1.179310 0.742862 1.061442e-60\n", + "2 Sqrt -1.273533 1.229468 3.515338e-79\n", + "3 Box-Cox λ=2.968 -0.448363 -1.353507 1.398393e-26\n", + "4 Yeo–Johnson λ=6.632 -0.387527 -1.418956 2.295898e-26\n" + ] + }, + { + "data": { + "image/png": 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    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Year Remod/Add\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original -0.883418 -0.752479 6.751235e-37\n", + "1 Log1p -1.048502 -0.383627 2.675912e-45\n", + "2 Sqrt -1.444760 0.931803 3.941073e-91\n", + "3 Box-Cox λ=0.558 -1.337485 0.555913 6.158434e-74\n", + "4 Yeo–Johnson λ=3.858 -0.499636 -1.331199 6.700992e-28\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Mas Vnr Area\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 1.246372 0.368818 5.276675e-63\n", + "1 Log1p 1.177910 0.125587 2.588339e-55\n", + "2 Sqrt 0.688912 -1.175103 6.879950e-33\n", + "3 Box-Cox λ=-0.084 0.315624 -1.888920 1.251314e-39\n", + "4 Yeo–Johnson λ=-16.227 0.608547 -1.439779 1.381142e-35\n" + ] + }, + { + "data": { + "image/png": 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jrruPPfaYaXWqLT1/+uknuffee821Vv/+GzZsaLr7ZqStVbTliu6nrSibNGkiS5cudcs5aquZkSNHmuuIxhNtiaotubJqffn111+bbmB6vtq1K2NXN0d39G+++caUX6/7eo2/5557Lun2rF2ONZZodzK9zmlL4YwtlC4X7xz0Pfv27StLliwxLdR035o1a5qWO1dC44t2qUx/ffYU7bKnP9PL0fPR1rL6Gepnrz+z06dP5/h99HPQzzg9/Xy0Jba2Bj5x4oRzvbYMzth6T9fpeWpX9uxoF7+vvvrKdPnX3w8AAOB+JKXgUdoEX7t06Bf37du3y+OPP266iz300EPOffSL+N133y0TJkww4xyNHz/efEl/9tlnzQ2A0i/3mhDShM/zzz/vfG2fPn3Me+hNQ548ebI8Dx2vSW+WtKm/fmm+HE18abJJm/J37txZXn75ZdPdrXv37s5uZzoWlXZXW716tenG5viirfvoe2hXl5zQL88LFy40/88sKaQ3UvoZ5mS5nD/++MMk0/RGMSO9Mfj222+zfb1je8bX62Dt2tUi/ev189PElHaT1C/+v/32m0yfPt2M3ZWYmJjp+CfadWPIkCGXLQcA79Bk9Jtvvil79+41iR/tBrVlyxZzLdR1mlzSv3cdV+jVV181yRu97i5evNh5DO3KrRUJn3/+uUlujRo1yiS4NA6k3y+3dLygpKQkM+6dxpXbbrtNRo8eLZ06dbpkX40pmkTTbl96vjo+kV7DNV5l1K9fP/nuu+9M8k1jmXZD16SRg15btYuXjk2k5de4oPFj3bp1VxTvMibM9DPScx83bpz5nLSruXY7zymtiMkqvmjMyml80YoDd9HKjQMHDpgEp1Zy6O+JLvpck0C5lZKSYpKcumRHv4fokjGxldGCBQvMZ6Q/RwAA4CE5aE0F5Lr7XsYlPDzcmjNnjsu+S5YsMdtefPFFl/XazU67hO3evdu5LjEx0XRDWLNmjbNrwMSJEy97Ph9++KHZd8KECTk6fz2m7v/OO+8412mXv6ZNm1qFCxc2XRQcHnzwQatgwYLWzz//bL388svmdVqmnJo6dap5TalSpUzXg5x+lpktl6Pd4XS/uXPnXrLt2WefNdu0C0RWHOXbt2/fJdsaNWpkNWnSxPn8woULVt++fU33DMf55cmTx5o2bdolr9VuJUWKFHF2H8yq+ycA3+D429broV4DHd2cateu7XINSUtLs2666SaratWqznX9+/c3f9//+c9/nOtOnDhhVa5c2apUqdIlXa2upPve1q1bzbEfeeQRl/2eeeYZs/7LL7906b6n6zSeOBw+fNjEqaefftq5znE9io2NNeVxGDBggLmmHTt2zDxfvHjxZa9bVxLvdD/tzpx+3XfffWfWT548OUefz/bt253xRWPnH3/84bJ97969OY4vWXXDy0p23fcWLVpktpUoUcL8buhnrIv+X8us5bxSu3btsvLnz2916dLlsvuOHDnSvP/KlSuz3a9BgwZW6dKlr+h3EgAAXBkGOodHTZkyxXQLc9SOv/POO6YWW1sSaXN4pYOMaysnnYEuPe3eoN0NdHBsR230Cy+8YAYn1YFNtZZTa8Azvi4z2mJH5aSVlOOcdPDTBx980LlOu/zpe+k6bR3l6OqnLQV0diGtbf/555/NTHY6uGxOaQsDHRBWPxftuvb999+b2mIH7QqyfPlycQdH10ft5pCRo2uC7pPZ9py83vE5K/2ZavcZPX/tpqPb3333XdPaQD9bbT2RfiBax4xIAHyftm7S67N2udJWP9qV+ssvvzQTSWjrz/Tdp/QaoK2LtKVm2bJlzfVVW2Y2a9bMuY/OzqktZrQVpbaiye2MenpslbHVkcYT7SKnXQR1ZjiHGjVqyC233OJ8rl3ztOWSdi/MSM9Pu9Q56Ou07NoKVK/Zjq7KGqO0u3dm3cSvJN45ulan786s7xMREZHp+WVGW6fqeWirX/056Hukf2+9Fuc0vmiZ3EXjt9LfE21hq10ZVYsWLcyMtNoqTL8v5JT+Hmqc0VbVY8aMyXZfHfhdZ+7TmQn1/bKi8Vwn7NCB/Rm8HwAAzyEpBY/SG4/0Xb00oVO/fn3zpVuTOjrTm36h1+5fGRNG1atXN4+63UH3164IjRo1MkmO2bNnu9wkaNJEu/Olp1+69Uu8Sn+jlB19Tx2HI+MX0czOScelmDRpkvlCrONP6f9zSsco0dnr9MZBu3Tol9/33nvPJSmlYzDpciUcXRMc9CZIb7YcYzllNraKdgtRmY335HC516d/rd4YaFdH7TqpN5xKbwL0hlC7XerPX7sCadcWvWHSabv54g/4B72mavJGu3XpdU9n7tTGPTp2ny6Z0e5tmpTS62dMTMwl29NfXzUppV2xMqNxIKtxi/S1eh3RxEbGOKBJo/TXbpV+bD0H7cKnXYkzyriv7qcc+2oliXat04SHJqu0C7Mm33VGV0ci/0ri3ZWeX2aJGh0fS89JuxXqmIwaX9InpTSOauLrSpw7d84kIdPT+JJdF/qMHLHi5ptvdiakHOXVZKXOyJdTOq6Zdm/UZKYm9fTzzYp249dxrPT366233sr2uDrjnqLrHgAAnkVSCrbSmwVNSjiSFTpY6ZXScUgcSRA9hg4k66BfuNNPBa30Rkm/jCtNAHmC45z0RkEHWc04uHd2raR0rCodY0vH09Cadx1fSlshZJdoy4pjamttEaA3Rg46CLGOc+JIbungrRnpOr3Ry6qVlEr/+vQ3Eo51moR00DG1tBbakZBy0OSbtmLQ89Ebx4EDB5py689R1ynH+Fh6zH379mV6YwbAd+i4O+qZZ54xLXIykzFRdDlZJeM1+aOtU7OTvrIiO1klUjIOOp6TffU9tSWSJtp1vCmNCzrIuY5VpesyXgvdfX4ZzZ8/38QOrQRQOvmGtmTTGKVjADoSOhkHa8+KxgdNCGrCKH1rM6XjiemA8jnlSBxpQjMjHa/xcuMbpterVy/TOk2TSNm1fNq/f79JzmnM1RZrl2s5rZ+fJl4bNGiQ43MBAABXjqQUbKez7ChHSx5NmKxYscK0Ykr/JVFrNB3bHbRrm36p1sTT1q1bTXcvTTTpl8zsurppF0L9cvnhhx+ahNjlbg70PfW99EYrfeudzM5JZ0LSGldNruiXYu1auH79+ktmGMxIEy96A6MDgWtCynHToIPa6hdybVGWVaItK44bla5du7p0jXHUSmsrBa3R1hmiMtKWDvXq1cv2+I7t+vr0CSgdsFZvdLR7i4N218xsRkTHYLmO3wNNOmnrgPTJxfQJLP3ZHjt2LAelB+At2v1WaVexy7W80evnzp07L1mf8fqaVbcyRwulrI6t122tsHC0PnJcj/Q6kv7a7Sk62LsuWrmgiQ1taaMDZmu8upJ4d7W00kNb3TpigcYXrazQig9tletI1GR27c2MDkCurb+0G1/Gn42jQiSntMu6/q5ol86MNJ5onMoJHSBeW0zrRBnpu9tnpAPDa0JKW/lqq9zLtT7WGK6D4Ov3DQAA4GFXOAYVkCNZDVStg4U7BjI9fvy4y8CvL730ksu+DzzwgMvAr/ra+vXrm4FwdaBxHQhVj9OjR48cndOCBQvM++hxz58/f8n2zz//3Pr4449dBjqfP3++c7u+5uabb3YZ6Pzvv/+2ypYtazVu3NgM7P3ZZ5+Z1w0fPvyy5zN27FhTvp9++sm57tChQ2bg3EGDBjnXHThwwFq+fHmOlpx47LHHrAIFCrgMVr5ixQpz3ukHIdfPe8eOHeb909PB2OvWrWvK6zBkyBBTlh9//NG5rlatWlbx4sWtI0eOONfpa3TgWB3UXI/v+Nx1gOD0S79+/cz5vPLKK9Ynn3ySo3IBsFfGQcabN29u/uYzXjMcA4hnHOh87dq1znUnT560rr32WrcNdN67d2+X/QYOHJjpQOdt27bN9Ji6XC6e6QDe6QfyPnr0qMtA6OkHGn/99devKN4p3a9Pnz6XnJ+ed7du3bL9XNavX29e75g8wkEHoo+JiXE+/+eff3IcX7R87hroXLVv397EO40zDhpDdN0TTzzhXHfq1Cmzz59//uny+nHjxpnjP/fcc9meh/5uaYzWuLNp06YcnfuTTz5pjp3+5wEAADyDpBQ8wvElfsSIEda///1vs7z66qsmIaHrBw8e7NxXb0Buv/1284VcbySmTJlivqzqfnrz4pCUlGT2SX9ToTMY6X5Lly7N0Xk9//zzZv/rr7/eGjZsmDVr1iwzo5zOGpU+CXX69GmrevXqJumlszDpTEd6k5Jxtr+uXbua2X7Sf6nWWZ90Viq9OcqK3rjoDZjO5pSRrtNtnqLJKJ3x6LrrrrMmTZpkbo6KFSt2yaxZjlmZMt78aOJOfw4tWrSw3nzzTfPlXWd16tWrl8t+OnOhvl7fRxNw+l46e2FmM09lxOx7gO/LmBDSBIxeS/T6otd4vT7oLGdt2rSx6tSp49wvJSXFioqKsiIjI62hQ4eaWVHr1atnris6K9vVnIPSa5ZeP+6//34TTxzPO3To4LKfu5NSWg6tdNEEmCaDNKl+ww03WBEREdYvv/xyRfHuapNS3bt3N5+vJmTSc8TM3377zfIU/Znr0qlTJ/NeDz/8sHNdevr7opU8Orvd6NGjzaL/v+aaa6zff//9ks9ZY3bG2fv083Z8x0i/6O+Yg+Pz1fPIuJ9WgmSklSf6+5l+NlkAAOA5JKXgEY4v8ekXTd7ojYe2xslYm6zTgev02mXKlDEJHf2iqckix36bN2+2wsLCTAuajF8eGzVqZF6nrZZyQqeA1i+pOkW2HlO/ALdr18768MMPXfbTVkvaCqtkyZImOaVJGy2Xg+6v5dJkW3raikpvGrQ1kaM1UEaOFlWZ3YDNmDHD4wmZH374wWrVqpVVsGBBq2jRolbnzp1dvsRnl5RS+kVef5Y6dXq5cuVMS6nMyrps2TJzc5f+M5w+ffplz4+kFOD7MksI7dmzxyTro6OjzbVcW5Ledddd1gcffHDJfvfee6+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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "BsmtFin SF 1\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.427973 -0.924887 2.658369e-16\n", + "1 Log1p 0.345378 -1.087329 5.304488e-17\n", + "2 Sqrt -0.173369 -1.576481 2.789634e-26\n", + "3 Box-Cox λ=0.159 -0.557835 -1.535081 4.788046e-36\n", + "4 Yeo–Johnson λ=-3.521 0.110621 -1.448212 8.908563e-22\n" + ] + }, + { + "data": { + "image/png": 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delUHELz//vvNjBXDhw83waUsbdu2Nc1sN23aJHfffbeMGDFCvvnmm0qXh2ldAcC9nG2cAAB4P2IFAPgOlyemtNnsP//5TzNwoNZqaADZs2ePrFmzxtR8aP/tsmirKO3frc1pNanUuXNnU2uiTXm1RiMnJ8dpf52VT7eVRqd11fGp7EtWVpbLzhUAUP1xAgDg/YgVAOA7arrqQBowdDDyzMxMM4D5woULzU9////LfbVo0cI0nW3evPkZHbewsNB0x9NEVa1atczghPHx8WabvpYOYKhjUJVGuwTSVxwArFdVcQIA4D2IFQDge1yWmJo3b57cdtttMnLkyFKnWW3UqJGZWa+s1k0DBgwwA5ofPXpUFi1aJGvXrjV9wLUbng5MqAMXhoaGSnBwsIwbN84kpXr06OGq0wAAVBFXxAkAgHcjVgCA73FZYkqb1WpCyV6bYaeDDGr3Od2m3fR0zKjS6ACE9j7jmojSGTk0KXXllVea7bNmzTLH1xZT2opKp3OdO3euq04BAFCFXBEnAADejVgBAL7HZYmpli1bmoSS1mAUdeTIEdPk9tSpU+Ueo7yaj6CgIElOTjYLAMCzuCJOAAC8G7ECAHyPywY/11qMkhw7dswklAAAvo04AQAoD7ECAHzPWbeY0jGflJ+fn0yaNEnOOeccxzat0di0aZN06dLlbF8GAOChiBMAgPIQKwDAd511Ymrr1q2O2o3t27ebPt92+nvnzp3N9K4AAN9EnAAAlIdYAQC+66wTU5999pn5eeutt8pzzz1nZssDAMCOOAEAKA+xAgB8l8sGP09JSXHVoQAAXog4AQAoD7ECAHzPWSWmhg4dKqmpqaZGQ38vy7Jly87mpQAAHog4AQAoD7ECAHzbWSWmQkJCzACF9t8BACiKOAEAKA+xAgB8W01XNbWl2S0AoDrixLx588zy448/msft27c3MzgNGDDAPD5+/Ljcd999snjxYikoKJC4uDiZO3euhIWFueT1AQCuxT0FAPg2f1cd6M8//5Q//vjD8finn36S2bNny8cff+yqlwAAeDBXxYmmTZvKU089JRkZGbJ582bp27evDB48WHbu3Gm2T5gwQVatWiVLly6VdevWyYEDB8rtGgIAcA/cUwCA73FZYkpvChYuXGh+z8nJkW7dusnMmTPNeq3ZBgD4NlfFiUGDBsnVV18trVu3ljZt2sgTTzwhdevWlY0bN0pubq4sWLBAnn32WZOw6tq1q6l937Bhg9kOAHBv3FMAgO9xWWJqy5Ytcvnll5vf33nnHQkPDzc1HBpY5syZ46qXAQB4qKqIE6dOnTJd9vLz8yUmJsa0ojp58qTExsY69omOjpaoqChJT0932bkAAKoG9xQA4HvOaoyporTJbb169czv2tRWu034+/tLjx49TDABAPg2V8aJ7du3m0SUjielraWWL18uF1xwgWzbtk0CAgKkfv36Tvvr+FLZ2dmlHk/HotLFLi8v74zPDwBw9rinAADf47IWU61atZIVK1ZIVlaWfPTRR9K/f3+z/vDhw2bqVwCAb3NlnGjbtq1JQm3atEnuvvtuGTFihHzzzTeVLltSUpKZCcq+REZGVvpYAIDK454CAHyPyxJTOiPS/fffL82bN5fu3bubmmx7TceFF17oqpcBAHgoV8YJbRWlNy86hpQmlTp37izPPfec6fJx4sQJMy5JUYcOHTLbSpOYmGjGp7IvekMEAKh+3FMAgO9xWVe+66+/Xnr27CkHDx40Nwh2/fr1k+uuu85VLwMA8FBVGScKCwtNVzxNVNWqVUvS0tIkPj7ebMvMzJR9+/Y5bm5KEhgYaBYAgLW4pwAA3+OyxJTS2ujTa6R1Jg0AAFwVJ7R104ABA8yA5kePHpVFixbJ2rVrTZcP7YY3atQoSUhIkNDQUNPtY9y4cSYppeOTAADcH/cUAOBbXJaY0hmRnnrqKVNLrX3Atfa6qB9++MFVLwUA8ECuihP63OHDh5vadE1EderUySSlrrzySrN91qxZZqBcbTGlraji4uJk7ty5VXJOAADX4p4CAHyPyxJTt99+u6xbt05uueUWady4sfj5+bnq0AAAL+CqOLFgwYIytwcFBUlycrJZAACehXsKAPA9LktMffjhh/L+++/LZZdd5qpDAgC8CHECAFAeYgUA+B6Xzcp37rnnmvE8AAAoCXECAFAeYgUA+B6XJaYee+wxM73rH3/84apDAgC8CHECAFAeYgUA+B6XdeWbOXOm7NmzR8LCwqR58+Zmuu6itmzZ4qqXAgB4IOIEAKA8xAoA8D0uS0wNGTLEVYcCAHgh4gQAoDzECgDwPS5LTE2ePNlVhwIAeCHiBACgPMQKAPA9LhtjSuXk5Mgrr7wiiYmJcuTIEUdz259//tmVLwMA8FDECQBAeYgVAOBbXNZi6uuvv5bY2FgJCQmRH3/8UUaPHm1m1Fi2bJns27dPFi5c6KqXAgB4IOIEAKA8xAoA8D0uazGVkJAgI0eOlF27dklQUJBj/dVXXy3r16931csAADwUcQIAUB5iBQD4Hpclpr788ku58847i61v0qSJZGdnu+plAAAeijgBACgPsQIAfI/LElOBgYGSl5dXbP33338vDRs2dNXLAAA8FHECAFAeYgUA+B6XJaauvfZamTZtmpw8edI89vPzM/3AH3roIYmPj3fVywAAPBRxAgBQHmIFAPgelyWmZs6cKceOHTM1GX/++af06tVLWrVqJfXq1ZMnnnjCVS8DAPBQxAkAQHmIFQDge1w2K5/OnLFmzRr573//K1999ZUJKBdddJGZVQMAAOIEAKA8xAoA8D0uSUwVFhZKamqqmcZVp3XVJrctWrSQ8PBwsdls5jEAwHcRJwAA5SFWAIBvOuuufBoktC/47bffLj///LN07NhR2rdvLz/99JOZ6vW6665zTUkBAB6JOAEAKA+xAgB811m3mNJajfXr10taWpr06dPHadunn34qQ4YMkYULF8rw4cPP9qUAAB6IOAEAKA+xAgB811m3mHrrrbfkkUceKRZAVN++feXhhx+WN99882xfBgDgoYgTAIDqjhWa5Bo0aJBERESYLoArVqwo1kJr0qRJ0rhxY6ldu7YZw2rXrl0uORcAQDUnpr7++mu56qqrSt0+YMAAM3AhAMA3EScAANUdK/Lz86Vz586SnJxc4vYZM2bInDlzZP78+bJp0yapU6eOxMXFyfHjxytVfgCAhV35jhw5ImFhYaVu122///772b4MAMBDEScAANUdKzSRpUtJtLXU7NmzZeLEiTJ48GCzTrsJ6mtoy6phw4ZV4gwAAJa1mDp16pTUrFl6fqtGjRry119/ne3LAAA8FHECAOBOsWLv3r2SnZ1tuu/ZhYSESPfu3SU9Pd0lrwEAqMYWU1rjoDNlBAYGlri9oKDgbF8CAODBiBMAAHeKFZqUUqe30NLH9m2llaFoOfLy8lxWJgDwZWedmBoxYkS5+1R09oykpCRZtmyZfPfdd2YQwksvvVSmT58ubdu2deyj/b7vu+8+Wbx4sQkM2hd87ty5ZTb9BQBYx5VxAgDgnTwhVui9ytSpUy0tAwB4o7NOTKWkpLimJCKybt06GTNmjFxyySWmqa7OzNG/f3/55ptvzICEasKECfL+++/L0qVLTZPbsWPHytChQ+W///2vy8oBAHAdV8YJAIB3qs5YER4ebn4eOnTIzMpnp4+7dOlS6vMSExMlISHBqcVUZGRkFZcWALzfWSemXGn16tVOj1NTU6VRo0aSkZEhV1xxheTm5sqCBQtk0aJFZtpYexBr166dbNy4UXr06GFRyQEAAAB4ghYtWpjkVFpamiMRpUkmnZ3v7rvvLvV52s2wtK6GAAAvSUydThNRKjQ01PzUBNXJkyedBiqMjo6WqKgoM1BhSYkp+oIDAAAAvuXYsWOye/dupwHPt23bZu4r9N5h/Pjx8vjjj0vr1q1NourRRx+ViIgIGTJkiKXlBgBf5LaJqcLCQhMwLrvsMunQoYNZp4MRBgQESP369Ss8UCF9wQEAAADfsnnzZunTp4/jsb0Lno5lpb0yHnzwQcnPz5c77rhDcnJypGfPnqb3RlBQkIWlBgDf5LaJKR1raseOHfL555+f1XHoCw4AAAD4lt69e5uZ/krj5+cn06ZNMwsAwFpumZjSAc3fe+89Wb9+vTRt2tSxXvuCnzhxwtRqFG01pQMV2gcxPB19wQEAAAAAANyTv7gRrdXQpNTy5cvl008/Nf29i+ratavUqlXLDFRol5mZKfv27ZOYmBgLSgwAAAAAAACvaDGl3fd0xr2VK1dKvXr1HONGhYSESO3atc3PUaNGma55OnBhcHCwjBs3ziSlmJEPAAAAAADAs7hVYmrevHmOPuFFpaSkyMiRI83vs2bNEn9/f4mPjzez7cXFxcncuXMtKS8AAAAAAAC8JDFV1gCFdjpTRnJyslkAAAAAAADgudxqjCkAAAAAAAD4DhJTAACPkpSUJJdccokZi7BRo0YyZMgQMxFGUcePHzfjFjZo0EDq1q1run/rDK4AAAAA3AuJKQCAR1m3bp1JOm3cuFHWrFkjJ0+elP79+0t+fr5jnwkTJsiqVatk6dKlZv8DBw7I0KFDLS03AAAAADcfYwoAgPKsXr3a6XFqaqppOZWRkSFXXHGF5ObmyoIFC8wsr3379nVMotGuXTuTzGIWVwAAAMB90GIKAODRNBGlQkNDzU9NUGkrqtjYWMc+0dHREhUVJenp6SUeQ2d5zcvLc1oAAAAAVD0SUwAAj1VYWCjjx4+Xyy67TDp06GDWZWdnS0BAgNSvX99p37CwMLOttHGrQkJCHEtkZGS1lB8AAADwdSSmAAAeS8ea2rFjhyxevPisjpOYmGhaXtmXrKwsl5URAAAAQOkYYwoA4JHGjh0r7733nqxfv16aNm3qWB8eHi4nTpyQnJwcp1ZTOiufbitJYGCgWQAAAABUL1pMAQA8is1mM0mp5cuXy6effiotWrRw2t61a1epVauWpKWlOdZlZmbKvn37JCYmxoISAwAAACgNLaYAAB7XfU9n3Fu5cqXUq1fPMW6Ujg1Vu3Zt83PUqFGSkJBgBkQPDg6WcePGmaQUM/IBAAAA7oXEFADAo8ybN8/87N27t9P6lJQUGTlypPl91qxZ4u/vL/Hx8WbGvbi4OJk7d64l5QUAAABQOhJTAACP68pXnqCgIElOTjYLAAAAAPfFGFMAAAAAAACwBIkpAAAAAAAAWILEFAAAAAAAACxBYgoAAAAAAACWIDEFAAAAAAAAS5CYAgAAAAAAgCVITAEAAAAAAMASJKYAAAAAAABgCRJTAAAAAAAAsASJKQAAAAAAAFiCxBQAAAAAAAAsQWIKAAAAAAAAliAxBQAAAAAAAEuQmAIAAAAAAIAlSEwBAAAAAADAEiSmAAAAAAAAYAkSUwAAAAAAALAEiSkAAAAAAABYgsQUAAAAAAAALEFiCgAAAAAAAJYgMQUAAAAAAABLkJgCAAAAAACAJUhMAQAAAAAAwBIkpgAAAAAAAGAJElMAAAAAfMqUKVPEz8/PaYmOjra6WADgk2paXQAAAAAAqG7t27eXTz75xPG4Zk1ujQDAClx9AQAAAPgcTUSFh4dbXQwA8Hlu1ZVv/fr1MmjQIImIiDDNaVesWOG03WazyaRJk6Rx48ZSu3ZtiY2NlV27dllWXgAAAACeSe8j9L7j/PPPl5tvvln27dtndZEAwCe5VWIqPz9fOnfuLMnJySVunzFjhsyZM0fmz58vmzZtkjp16khcXJwcP3682ssKAAAAwDN1795dUlNTZfXq1TJv3jzZu3evXH755XL06NFSn1NQUCB5eXlOCwDAy7ryDRgwwCwl0dZSs2fPlokTJ8rgwYPNuoULF0pYWJhpWTVs2LBqLi0AAAAAT1T0nqNTp04mUdWsWTNZsmSJjBo1qsTnJCUlydSpU6uxlADgG9yqxVRZtBYjOzvbdN+zCwkJMUEkPT291OdRswEAAACgLPXr15c2bdrI7t27S90nMTFRcnNzHUtWVla1lhEAvJXHJKY0KaW0hVRR+ti+rbSaDU1g2ZfIyMgqLysAAAAAz3Hs2DHZs2ePGcu2NIGBgRIcHOy0AAB8KDFVWdRsAAAAACjq/vvvl3Xr1smPP/4oGzZskOuuu05q1KghN910k9VFAwCf4zGJKftUrocOHXJar4/LmuaVmg0A8C7M4AoAOFv79+83Sai2bdvK3/72N2nQoIFs3LhRGjZsaHXRAMDneExiqkWLFiYBlZaW5lin40Xp7HwxMTGWlg0AUH2YwRUAcLYWL14sBw4cMOPRapJKH7ds2dLqYgGAT6rpbn27iw44qAOeb9u2TUJDQyUqKkrGjx8vjz/+uLRu3dokqh599FFTYz5kyBBLyw0AqD7M4AoAAAB4D7dKTG3evFn69OnjeJyQkGB+jhgxQlJTU+XBBx80NeV33HGH5OTkSM+ePWX16tUSFBRkYakBAJ4yg2tpiSmtMdfFjhlcAQAAAB9MTPXu3dvUdpdGxxKZNm2aWQAAcOUMrlOnTq3y8gEAAADw0DGmAACoKszgCgAAAFjDrVpMAQDgqhlcdVY+O33cpUuXMmdw1QUAAACuNWnxl6VumzbskmotC9wTLaYAAF6DGVwBAAAAz0KLKQCAR2EGVwAAAMB7kJgCAHgUZnAFAAAAvAeJKQCAR2EGVwAAAMB7MMYUAAAAAAAALEFiCgAAAAAAAJYgMQUAAAAAAABLMMYUAAAAAAColEmLv7Tk2NOGXVJlr4vqRWIKPoeLGwAAAAB4d0KMezvPQVc+AAAAAAAAWILEFAAAAAAAACxBVz4AAAAAAOBV41PBc5CYAgAAcBHGuwAAADgzJKYAAADOALW7AAC4Pya98hwkpgAAAAAA8GG0+IWVGPwcAAAAAAAAlqDFFOAiNBUFAAAAAODMkJgCAAAAAMDLMUYi3BWJKaAIWj0BAKzC+B4AAMAXkZgCAABex9eSPL52vgCA6uVtra2Im+6FxBTckq9dKGipBQAAgOrA904A7obEFDySpwVUb6thAABP52lxRBFLAACeGL+A8pCYAiqIGwIAwNkilgAAADgjMQXLMvZ8OQcAAAAAwLeRmILX8baEl6+NtwUAcD26fgCA9/O2+yArETerF4kpAAAAH/5iTwUIAFQvkh6AMxJTqLILo699sQcAb3U21/Oq7NbNl3frkdQCgOK4DwLODIkpwMNR4wIAAAAA8FQkpnwAGXvfRU02AG9GfAMAAPB8JKZQJr70ezdaWwEAysN3AQCoPlxz4YtITAEAAAAAAFQA42O6HokpD0GXLACAJ8YRan4BAABQFhJTAAAA8Ch0RQcAeCIanJSMxBSAascNBQAAQNWgpWrF8Z0U7maSj/5NkpjyEgQgAAAAAKge3H8BrkNiCkCJaGYKADhbvlrzCwAAKo7ElIvxBQy+oqpqiUiIAdag5he+EkfKQowBYEdcBKqPxyamkpOT5emnn5bs7Gzp3LmzPP/889KtWzdxZ9xwA2eP5C88PU7wRRcA3Ie7xgoA8CUemZh6++23JSEhQebPny/du3eX2bNnS1xcnGRmZkqjRo2sLh4AwGLECQCVQSWibyFWuPYzUFWtFflcAt7/WfDIxNSzzz4ro0ePlltvvdU81mDy/vvvy6uvvioPP/yweCpq0QH37b5BSy3P4q1xAoC1iAXehVjhHbiHAjy/K7vHJaZOnDghGRkZkpiY6Fjn7+8vsbGxkp6eXmz/goICs9jl5uaan3l5eZV6/YI/jlXqeQDc20Ovflbp51b2eqKeeCejzO3/ur6rVDf7+dhsNvFEZxonFLECQFXHkbKu5+XFgsoet6p4epzwhFhxNt8tqjIGnc33JSuOC6Bizuaa44pY4XGJqV9//VVOnTolYWFhTuv18XfffVds/6SkJJk6dWqx9ZGRkVVaTgC+Y8Yozzx2eY4ePSohISHi7XFCESsAVLWqup4TJ7wzVlj5/wrA98wYZW2s8LjE1JnSWhDtO25XWFgoR44ckQYNGoifn98ZZ/w08GRlZUlwcLB4Km85D286F87DvXjLeVT2XLRWQwNIRESE+ApixZnxhXP0lfP0hXP0lfOsznP0xTihiBW+e16Kc/NMnJt1ziRWeFxi6rzzzpMaNWrIoUOHnNbr4/Dw8GL7BwYGmqWo+vXrn1UZ9D/dHf/jffU8vOlcOA/34i3nUZlz8dQa8MrECUWsqBxfOEdfOU9fOEdfOc/qOkdPjhOKWFG1vPW8FOfmmTg3a1Q0VviLhwkICJCuXbtKWlqaU22FPo6JibG0bAAA6xEnAADlIVYAgPvwuBZTSpvQjhgxQi6++GLp1q2bmdo1Pz/fMaMGAMC3EScAAOUhVgCAe/DIxNSNN94ov/zyi0yaNEmys7OlS5cusnr16mKDF7qaNt2dPHlysSa8nsZbzsObzoXzcC/ech7edi6eECd85T33hXP0lfP0hXP0lfP0hXN0NWKF63nreSnOzTNxbp7Bz+bJ87wCAAAAAADAY3ncGFMAAAAAAADwDiSmAAAAAAAAYAkSUwAAAAAAALAEiSkAAAAAAABYwucTU8nJydK8eXMJCgqS7t27yxdffFHm/kuXLpXo6Gizf8eOHeWDDz5w2q5jyevMHo0bN5batWtLbGys7Nq1y+POY+TIkeLn5+e0XHXVVW51Hjt37pT4+Hizv5ZPp/g922O663lMmTKl2P+H/v9VhzM5l5dfflkuv/xyOffcc82if/+n7+8Jn5GKnIcnfEaWLVtmpsCuX7++1KlTx8w29Prrr7vF/4cn8ZY44StxxBdijC/FIG+PTb4Qt3yZq6+r7qIqrqXuwtWfO3fi6u+Q7qSysXjx4sXm73LIkCHiDeeWmppa7Dqvz/MINh+2ePFiW0BAgO3VV1+17dy50zZ69Ghb/fr1bYcOHSpx///+97+2GjVq2GbMmGH75ptvbBMnTrTVqlXLtn37dsc+Tz31lC0kJMS2YsUK21dffWW79tprbS1atLD9+eefHnUeI0aMsF111VW2gwcPOpYjR45U2TlU5jy++OIL2/3332976623bOHh4bZZs2ad9THd9TwmT55sa9++vdP/xy+//FJl51DZc/n73/9uS05Otm3dutX27bff2kaOHGk+D/v37/eoz0hFzsMTPiOfffaZbdmyZeZzvnv3btvs2bPNZ3/16tWW/n94Em+JE74SR3whxvhSDPL22OQLccuXVcV11R1UxTXGXVTF585dVMV3SHdR2Vi8d+9eW5MmTWyXX365bfDgwTZ3tPgMzy0lJcUWHBzsdJ3Pzs62eQKfTkx169bNNmbMGMfjU6dO2SIiImxJSUkl7v+3v/3NNnDgQKd13bt3t915553m98LCQnPBffrppx3bc3JybIGBgeZi7CnnYf/yUt0f0DM9j6KaNWtWYqA7m2O603noTUHnzp1t1e1s37+//vrLVq9ePdtrr73mUZ+R8s7DEz8jdhdeeKH5smvl/4cn8ZY44StxxBdijC/FIG+PTb4Qt3xZVVxX3UFVXGPcRVV87tyFq79Devq56f/VpZdeanvllVfc+trY7QzPTRNTmhz1RD7ble/EiROSkZFhmlza+fv7m8fp6eklPkfXF91fxcXFOfbfu3evZGdnO+0TEhJimtyVdkx3PA+7tWvXSqNGjaRt27Zy9913y2+//SZVpTLnYcUxrXxN7VIQEREh559/vtx8882yb98+qUquOJc//vhDTp48KaGhoR71GSnvPDzxM6IVEWlpaZKZmSlXXHGFZf8fnsRb4oSvxBFfiDG+FIO8PTb5QtzyZVV5XbWSO173POFzZ7Wq+A7p6ec2bdo0cy0cNWqUuKsTlTy3Y8eOSbNmzSQyMlIGDx5sutN6Ap9NTP36669y6tQpCQsLc1qvj/XLSUl0fVn723+eyTHd8TyUjjmwcOFCcxGaPn26rFu3TgYMGGBey13Ow4pjWvWa+uVY+wyvXr1a5s2bZ75Ea5/2o0ePSlVxxbk89NBD5kbGfkH1lM9IeefhSZ+R3NxcqVu3rgQEBMjAgQPl+eeflyuvvNKy/w9P4i1xwlfiiC/EGF+KQd4em3whbvmyqrquWs0dr3vu/rlzB1XxHdKTz+3zzz+XBQsWmDHC3NmvlTg3rXR49dVXZeXKlfLGG29IYWGhXHrppbJ//35xdzWtLgDc07Bhwxy/6+CLnTp1kpYtW5qatn79+llaNl+kXxzt9P9CbxI0E75kyRK3zfQ/9dRTZkBB/ZvxmEH3zuA8POUzUq9ePdm2bZupPdGbkYSEBNPioXfv3lYXDV7OUz4j8M4Y5O2xyZvjFuCJvPHa4o3fIbVC5ZZbbjFJqfPOO0+8TUxMjFnsNCnVrl07efHFF+Wxxx4Td+azLab0D7FGjRpy6NAhp/X6ODw8vMTn6Pqy9rf/PJNjuuN5lEQvQvpau3fvFnc5DyuO6S6vqTNktGnTpsr+P872XJ555hkToD/++GPzxdfOUz4j5Z2HJ31GtMlvq1atzGwq9913n1x//fWSlJRk2f+HJ/GWOOErccQXYowvxSBvj02+ELd8WXVdV6ubO173PO1zZ4Wq+A7pqee2Z88e+fHHH2XQoEFSs2ZNs2hL0nfffdf8rtu96fNWq1YtufDCCz3iOu+ziSltkti1a1eT/bXTpm76uGiWsShdX3R/tWbNGsf+LVq0MH8kRffJy8uTTZs2lXpMdzyPkmjzPx2HQKdRdpfzsOKY7vKaWnOhF86q+v84m3OZMWOGychrlw+dZrYoT/mMlHcenvwZ0ecUFBRY9v/hSbwlTvhKHPGFGONLMcjbY5MvxC1fVl3X1ermjtc9T/vcWaEqvkN66rlFR0fL9u3bTUsw+3LttddKnz59zO86LpM3/b+dOnXKnK9HXOdtPkynX9QZV1JTU81UmHfccYeZftE+peItt9xie/jhh52mca1Zs6btmWeeMVOC6iw1JU0DrsdYuXKl7euvvzYj/Ff1dMOuPo+jR4+aaV3T09PNNJqffPKJ7aKLLrK1bt3advz4cbc5j4KCAjM9qy6NGzc2Zdbfd+3aVeFjesp53Hfffba1a9ea/w/9/4uNjbWdd955tsOHD1fZeVTmXPTvX6c0feedd5ymKdW/KU/6jJR3Hp7yGXnyySdtH3/8sW3Pnj1mf/3M62f/5ZdftvT/w5N4S5zwlTjiCzHGl2KQt8em6jxHd/xMeruqiB/uoCquMe6iKq4t7qIqvkN66rmdzp1n5Vt8huc2depU20cffWT+3zIyMmzDhg2zBQUF2Xbu3Glzdz6dmFLPP/+8LSoqylxUdDrGjRs3Orb16tXL/KEWtWTJElubNm3M/u3bt7e9//77Ttt1yuFHH33UFhYWZv6I+vXrZ8vMzPSo8/jjjz9s/fv3tzVs2NAERJ3adfTo0dXyRftMzkO/WGlu9fRF96voMT3lPG688UYTzPV4TZo0MY93795d5edxpueifyslnYt+ufKkz0h55+Epn5F//etftlatWpmAdO6559piYmJMgCvKqv8PT+ItccJX4ogvxBhfikHeHpt8IW75MlfHD3dRFddSd+Hqa4s7cfV3SE/+rHlKYupMz238+PGOfTWeXX311bYtW7bYPIGf/mN1qy0AAAAAAAD4Hp8dYwoAAAAAAADWIjEFAAAAAAAAS5CYAgAAAAAAgCVITAEAAAAAAMASJKYAAAAAAABgCRJTAAAAAAAAsASJKQAAAAAAAFiCxBRgMT8/P1mxYoXVxQAAuDFiBQCgLMQJeDISU/BKI0eONBdn+9KgQQO56qqr5Ouvv67S150yZYp06dKl2PrmzZs7lUeXpk2bmm0HDx6UAQMGnNXrfvXVV3LttddKo0aNJCgoyLzejTfeKIcPHzbbf/zxx2Kvr8s//vGPUo+5bNky6d+/v3nvdN9t27adVRkBwN0QK4gVAFAW4gRxAtWDxBS8lgYNvUDrkpaWJjVr1pRrrrnGsvJMmzbNUR5dtm7dataHh4dLYGBgpY/7yy+/SL9+/SQ0NFQ++ugj+fbbbyUlJUUiIiIkPz/fad9PPvnEqQzJycmlHlef27NnT5k+fXqlywYA7o5YQawAgLIQJ4gTqAY2wAuNGDHCNnjwYKd1//nPf2z6J3/48GHzuKCgwDZmzBhbeHi4LTAw0BYVFWV78sknHfvrvvPnz7cNHDjQVrt2bVt0dLRtw4YNtl27dtl69eplO+ecc2wxMTG23bt3m/1TUlLMc4ouuk41a9bMNmvWrBLLqvstX77c/L53717z+N///retd+/e5nU7depkXrc0+tyaNWvaTp48Weo+9uNu3br1jN7Hs30uALgzYoUzYgUAOCNOOCNOoKrQYgo+4dixY/LGG29Iq1atTDNSNWfOHHn33XdlyZIlkpmZKW+++aZprlrUY489JsOHDzdNTqOjo+Xvf/+73HnnnZKYmCibN2/WxK6MHTvW7KvNXO+77z5p3769o/ZA11XGv/71L7n//vvN67Zp00Zuuukm+euvv0rcV2tHdNvy5ctNeQAAlUOsAACUhTgBVJEqS3kBFtdu1KhRw1anTh2z6J9648aNbRkZGY59xo0bZ+vbt6+tsLCwxGPocyZOnOh4nJ6ebtYtWLDAse6tt96yBQUFOR5PnjzZ1rlz52LH0tqNgIAAR3l0ee6550qt3XjllVccz925c6dZ9+2335Z6vo888oip4QgNDbVdddVVthkzZtiys7Md2+3H1dqSomXYsmVLue8ltRsAvBWxglgBAGUhThAnUD1oMQWv1adPH1M7oMsXX3whcXFxZkDAn376yTGYoW5r27at3HPPPfLxxx8XO0anTp0cv4eFhZmfHTt2dFp3/PhxycvLK7c8DzzwgKM8umitSWmKvm7jxo3NT/uggyV54oknJDs7W+bPn29qV/Sn1sZs377dab+3337bqQwXXHBBueUGAG9GrCBWAEBZiBPECVQ9ElPwWnXq1DHNbHW55JJL5JVXXjGD77388stm+0UXXSR79+41TWv//PNP+dvf/ibXX3+90zFq1arl+F1nkShtXWFhYbnlOe+88xzl0aV+/fql7luZ19DmxDfccIM888wzZrBCHahQfy8qMjLSqQxnM0AiAHgDYgWxAgDKQpwgTqDq1ayG1wDcgl6M/f39TcCwCw4ONn22ddEAorNuHDlyxMxGURkBAQFy6tQpsZqWo2XLlsVm0AAAlI1YAQAoC3ECcD0SU/BaBQUFpimq+v333+WFF14wAxYOGjTIrHv22WdNk9YLL7zQBJelS5eaQf/KqnUojw50qDUm2qS1adOmUq9evSqvQXjvvfdk8eLFMmzYMDOooXYxX7VqlXzwwQdmitfK0mC6b98+OXDggHmsgzkqfY90AQBvQKwgVgBAWYgTxAlUPRJT8FqrV6929KXWi7n2j9ZA0bt3b8e6GTNmyK5du6RGjRqmaa5eeDWgVFZ8fLwsW7bM9EXPyckxF3Htd16VtE/3OeecY2bvyMrKMkGrdevWppnxLbfcUunj6uwit956q+OxBik1efJkmTJlikvKDgBWI1YQKwCgLMQJ4gSqnp+OgF4NrwMAAAAAAAA4YfBzAAAAAAAAWILEFAAAAAAAACxBYgoAAAAAAACWIDEFAAAAAAAAS5CYAgAAAAAAgCVITAEAAAAAAMASJKYAAAAAAABgCRJTAAAAAAAAsASJKQAAAAAAAFiCxBQAAAAAAAAsQWIKAAAAAAAAliAxBQAAAAAAAEuQmAIAAAAAAIAlSEwBAAAAAADAEiSmAAAAAAAAYAkSUwAAAAAAALAEiSkAAAAAAABYgsQU4EZ+/PFH8fPzk4iICElOTra6OADgU5o3by7XXHONePP5BQcHyx133CF//fWX1cUBAAAwSEyh2qSmppqkS9GlUaNG0qdPH/nwww8tLdvatWtl6NChEh4eLgEBAaZcgwYNkmXLllVrORo2bCivvfaatGrVSu655x7ZtWuXy1/j559/lr/97W9Sv359c4MyePBg+eGHHyr03I8//lhGjRolHTp0kBo1apibnLISbCUtixcvLrb/Cy+8IO3atZPAwEBp0qSJJCQkSH5+/lmfK4CqNWDAADn33HPl0KFDxbbl5uZK48aNpXv37lJYWFhtZerdu7e5RqG42bNnm+v/yy+/LAsXLqyW11y/fr1ce+21EhkZKUFBQSbOXnXVVfLf//63Qs+fMmVKibFEj1VUVlaWTJ06Vbp162b+Js877zzzt/DJJ58UO+bBgwfl4YcfNt8/6tWrZ46n3wMAAIA1alr0uvBh06ZNkxYtWojNZjM3M5qwuvrqq2XVqlWW1FRPnjzZlKl169Zy5513SrNmzeS3336TDz74QOLj4+XNN9+Uv//979VSljp16sjw4cPNl2lN+ixatMiUz1WOHTtmvojrDeMjjzwitWrVklmzZkmvXr1k27Zt0qBBgzKfr+V5++235aKLLjKtuspz0003mf/bomJiYpweP/TQQzJjxgy5/vrr5d5775VvvvlGnn/+edm5c6d89NFHlTxTANVh7ty5Jgk0YcIEc30oSq8xv/76q6xevVr8/akHcwdDhgwxlRGaLHr99dfltttuq/LX/P77783//1133WWSUr///ru88cYbcsUVV8j7779vklQVMW/ePKlbt67jsVaOFLVy5UqZPn26OccRI0aYFmGafLvyyivl1VdflVtvvdWxb2ZmptlX437Hjh0lPT3dhWcMAADOmA2oJikpKTb9k/vyyy+d1h85csRWq1Yt29///vdqL9PSpUtNma6//nrbiRMnim1fvXq1bdWqVTYr9OzZ03bBBRe49JjTp0835/vFF1841n377be2GjVq2BITE8t9/s8//+x4nwYOHGhr1qxZifvt3bvXvM7TTz9d5vEOHDhgq1mzpu2WW25xWv/888+b57/77rsVPDMAVrFfVz766CPHOr3G+Pv72x588MFqL0+vXr1s7du3r9Rz9Zqm1zZvN3HiRPP/c/DgQUtePz8/3xYWFmaLi4srd9/Jkyebv69ffvmlzP127NhRbJ/jx4/boqOjbU2bNnVan5eXZ/vtt9+cvgd89tlnlToXAABw9qjChOW0S1nt2rWlZk3nBnzaleu+++4zzf+1i1fbtm3lmWeeMS2t1J9//inR0dFm0d/tjhw5YrqPXHrppXLq1KkyX/vRRx+V0NBQU5uqrYdOFxcX59SK6/Dhw6YrW1hYmOlG0LlzZ9P1ruh27Y6nLZ7s5VS7d+82raFuvPHGCr8vWpOrrYd27NghrvLOO+/IJZdcYhY7ff/69esnS5YsKff52kqqpPepLPr/eOLEiRK3aS211moPGzbMab39cUnd/gC4F+1626lTJ/nnP/8px48fN9ddbR2jrU+1xed3331nWkTqtVavmxdffLG8++67xY6jXYpvuOEGs98555wjPXr0MC1qXEGvM4899pi0bNnSxBNtkaotugoKCkrc//PPPzddwrS8559/frFub/au6dodTc9fr/t6jb/uuuvkl19+cdp38+bNJpZo1zKNddpi+PSWSuXFOzt9zbFjx8qKFStMSzXdt3379qZV2pnQ+KLdKzUmWEH/f/U9y8nJqfBz9L3Iy8sr9p7Y6fug73FR+v5oq939+/fL0aNHHeu1+57+nQEAAPdAYgrVTruRafcO/fKu3bXuvvtu08XsH//4h2Mf/eKpY1JoNzNt5v/ss8+aL+oPPPCAuQlQ+gVfk0Ka9PnXv/7leO6YMWPMa+iNw+lN/YvS8Zv0hkmb/euX1PJo8ksTTtr94eabb5ann35aQkJCZOTIkfLcc8+ZfXRsKu1usG7dOtMdTemXf91HX0O7vVSEfoFeunSp+b2khJHeTOl7WJHFTsvx9ddfm5vC0+kN2J49e5y+uLuCjvehXS/05k6TYTpG1ennYf+/PP2mRWVkZLi0PABcTysVXnrpJdm7d69J/uiYcVu2bDHXQl2nCaZvv/3WjOkzc+ZMk8DR6+7y5csdx9Bu3VqZoN13NcH1xBNPmCSXxoGi+1XW7bffLpMmTTLdkO3dl5OSkoolxZXGFE2kaRcwLa+OV6TXcI1Xpxs3bpx89dVXJgGnsUy7pGviqGhlRf/+/c24e3r+Ghc0fmzcuPGM4t3pSTN9j7Ts2g1a3yftdq5d0CtKK2NKiy8aKyoaX06ePFnh19Skkj5H464mBbXSRStFKkoThBpzNZbq94WSxjUrSXZ2tokp9rgCAADckAtaXQFn1JXv9CUwMNCWmprqtO+KFSvMtscff9xpvXa58/Pzs+3evduxTrugaZeE9evXO5rkz549u9zyrFy50uw7a9asCpVfj6n7v/HGG4512q0tJibGVrduXdM1wO6mm26ynXPOObbvv//edGfT5+k5VdTcuXPNcxo1amS6IVT0vSxpsdMuDvp42rRpxY6XnJxstn333XcVLmNZXfl++uknW//+/W3z5s0z3fH0vYuKijL/T++9955jv4yMDPO6jz32WLEulLpe31cAnmHs2LGmW7Z+bvUaqPr162fr2LGj6VJlV1hYaLv00kttrVu3dqwbP368+cz/5z//caw7evSorUWLFrbmzZvbTp06VemufNu2bTPHvv322532u//++836Tz/91LFOr2m6TuOJ3eHDh02cuu+++4pdg2NjY8352E2YMMF0jc7JyTGPly9fXmIX9srGO90vICDAad1XX31l1msX6IrYuXOnI77oNVm7aJfUFbsiy5l0f9Nue/bn6Tnceeedtj///LPc52n80L+tN9980/bOO+/Y7r33XtMFXP9+cnNzy3zurl27bEFBQcW6ixdFVz4AAKxHYgrVxv5FXpMga9asMYsmea666irzJfPf//63Y9877rjDfLkvmuxR6enpxb6AFxQUmBsfvYFp2LChuSkpeqNQmtdff90c65VXXqlQ+TXREh4eXuwG6a233jLHKToWlY5d0bhxY1unTp3K/VJcEj0fXZ577jlzbL3xOH1sJvt7WN5it2/fPnMsHQ/mdAsWLDDbtm7d6pLEVEn0PdExRdq2beu0vnv37uZG9tVXXzU3RB988IE5rt7g6t8AAM+gSQK9RgYHB9uys7PNZ14TK5p41sR40WXq1KnmmrN//37z3DZt2ti6detW7JhJSUlmv+3bt1c6MfXkk0+aY3zzzTdO++n4Srq+aMJJrz0lje2n1/LrrruuWDxbsmSJ037Lli1zumZrskMf6zhJJY1jeKbxTh9fffXVxY6h77kmxSpi3Lhx5vqqY4Lp8TTOFKXJoorGFx0jsqI0vnz88ccm3lxxxRW2W2+91SQfK0OTVFp2/fsoaxyrLl262M4999xiybeiSEwBAGA9ZuVDtdNuY0W7k+nMbRdeeKHp/qDjOQUEBMhPP/1kxjM6vYtdu3btzE/dbqf7a7cE7SqmXcZSUlLMOBxFu+Bp176idGag4OBg83tFu6/pa+q4HKfPLlVSmXTsijlz5pjxUnQ8Kv29onTMku3bt8v8+fNN9w6d7UpnwtMxXOx0DC1dzoS9u1xJY6poV5Ci+1QFfU90VqSnnnrKjPfRtGlTs/7f//63GXvLPuaKdr/U7ivaHVJnTgLgGfSaql3QtLuWXve++OIL001Nx/LTpSTa1a1Jkybm+tm9e/di24teX3VMJe2WVRKNA6WNGaTP1et2q1atisUBHeOw6LVbRUVFFTuGdufT2eROd/q+up+y76tdBrWbnXZr1q562h1cuzHqTK86/pG9fBWNd2davtP98ccfZrwsLZN2MdQxBjW+3HPPPY59NI7GxsbKmdBxBHV8x6J0DKmi3em7dOni+F274mm3Su0iWZlxrvT90zG5PvnkE9NF8nQ6zpl2ddRxGj/88MMKzSILAACsQ2IKltMbhj59+phxmnTcJx3A9EzpuCT2BIseQweXtdMv3UWniVZ6s6RfyJUmgaqCvUx6s6CJGL0Bqggdl0XH0dAv7joWy+WXX27Gm9IxV8pKtpVGb76U3rTpjdDBgweL7WNfV9Vf3nVgX6U3MPbElN6U6pgp+v+mN52a/NMya1natGlTpeUBUHV0rCJ1//33m8G/S3J6sqg8pSXkNQG0du3aMp9btMKiLKWNTVjSoNvl7auvqYkXHVNKx5/SuKBJeB27StfpGHxn6kzKd7pFixaZ2KFjMSqtFJg2bZpTZYEmdU4fwL00Glc0KbhhwwYTx4vS8cV0kPmS6HO04kUrKjSeVaZSROPJ6ckwu9GjR8t7770nb775pvTt2/eMjw0AAKoXiSm4BZ0xSekg6Epnc9KaUG3NVLQWWQdNtW+30wG99Yu1Jp+2bdtmBrnVZJMmd5TeEK1Zs6bYa2rSQ2v3V65caZJi5d0g6Gvqa+nNVtFWUyWVSWdIeuWVV+TBBx80X4xHjBghmzZtKjbz4Om0pYHexNx5550mKWW/cdCBbrdu3WpalpWWbCuN/WZFy9yxY0czQ9TptGw6sGxFBoE/Gzrrlr0m/XSakNJFaS23Jsu0Nh2AZ9JritKZPMtrgaPXz5JaSJ5+fS3pWl60pVJpx9brtia/7a2QlA6erbPCFb12VxUdAF4XrWDQ5JAOgK6zjmq8OpN4d7a04kNb3/bs2dMRX7Q1l1Z+aOtclZWV5VS5U5bPPvvMtALTGWpP/7+xV4qURhNSGp/0vM80MaXP0wHl7TGxKB00XltOz54927TIBgAA7o/EFCyns/robG1ag2q/adDpnXWWJ53dKTEx0bGvdoXQGugBAwY4nqvJC21do8klraHVLn36Bds+61BZ3d70C7k299ebgzfeeKNY4kjLpV0UtIuhlkkfa1LI/mVXE2o6y5ImtbTGXumNjh5Puyw++eSTphZZy6u/66xQZdEy6+tpIspOu1zozE/6uvYv4aUl28qjM01ptwdNTtm7U+rN4KeffmpaNRSlN0U6i1FJ3UbKo7Xtpyeffv75Z3N+elNUVjdEvYHUhJ6+tk45D8Az6SylmrR48cUXzTXs9M990euEXl81kZCeni4xMTFmXX5+vokD2urmggsuMOvOtIuZ/dg6C5weX8tip7PfqYEDB0pV0Raz2lq2aGste5c2e7fqisa7s6VdK3W2xKLvgcZcrbDQ+GJPTGlCqaLxRRNS9sRgaf832l1T/xaK0jip3bi11VPRbfv27TPdDe0tmkuLJ5pg0/U6i2FROlvuM888Y/6/77333gqdAwAAsB6JKVQ7He/BXhOsX1i19lhrsjVhYh/3adCgQSah869//cvUiuqXX00Kaeum8ePHS8uWLc1+jz/+uGkllZaWZmqaNemhyZ+JEyeaJIx+4S+L1hZr6yqtxdYWSZpw0tppnXZbWz3pcbV86o477jBf6DURlpGRYW6WtHWTjgmlNzz2mm79MqzP1xpw7XKhX5w1UaVlHTx4sOOLfEk1wHp8nT5bW3LZ6Zd2fS+0Rlu7PVR2jCmlCa+XX37Z3IhpIkpbMujNmY4Ho+N1FKU3LKd3j9EWY++++65jSnXtEqLnpfS89P9NaWJpz5495lw0aaj/h3pueqOpCcSi9P3SLph6s6aJRn2/9Qbqtddeq1RSDID7SE5ONq1zNPmh3au0FZW2VNIElHYf++qrr8x+ev1/6623TBJGxzvSLmJ6DdDKBk1gnD6235nQa5O2WtXkjyZE9Lpmv8boeE+nd0FzJX2NuXPnynXXXWfilrYO0muwxjp7fKpovDtb9m7i2lrr9DioMVOTQnrNrcwYU2XR/1PtJqhjiGk809fRFk0HDhwwCbGihg8fbsYXLNotUWOyllH/hrRs2vVbW5tpzNDWxXbLly83sUdb3mr80sqmoq688koT6+zssWvnzp3m5+uvv26OrfT9AAAA1cjq0dfhO+yzGBVddMY6nTVn3rx5xWbS09l6dJahiIgIM4OQTg399NNPO/bLyMgws/npDENF/fXXX7ZLLrnEPO/333+vUNnS0tJsgwcPNtNn6zF1dr9BgwbZVq5c6bTfoUOHzExC5513npnuWmfO0/Oy0/31vGbOnOn0PJ1tSWd76ty5c6kzM3344YfmuTqr0+lefvn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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "BsmtFin SF 2\n", + " Column is constant, skipping transformations.\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original NaN NaN NaN\n", + "No need to skewness\n", + "Bsmt Unf SF\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.625519 -0.508066 1.312548e-18\n", + "1 Log1p 0.404943 -0.766226 6.437478e-13\n", + "2 Sqrt -0.194340 -0.312149 3.653141e-03\n", + "3 Box-Cox λ=0.469 -0.286105 -0.144394 3.838770e-04\n", + "4 Yeo–Johnson λ=-1.560 0.068859 -0.939326 1.446187e-09\n" + ] + }, + { + "data": { + "image/png": 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    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Total Bsmt SF\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.235075 -0.264327 0.001402\n", + "1 Log1p 0.125004 -0.241257 0.065479\n", + "2 Sqrt -0.228389 0.245399 0.002307\n", + "3 Box-Cox λ=0.730 0.002251 -0.096941 0.808409\n", + "4 Yeo–Johnson λ=-1.070 0.002995 -0.170016 0.520173\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "1st Flr SF\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.506196 -0.539185 1.248151e-13\n", + "1 Log1p 0.413799 -0.658863 1.058932e-11\n", + "2 Sqrt 0.167969 -0.732494 4.273412e-07\n", + "3 Box-Cox λ=0.252 -0.019610 -0.642286 8.687160e-05\n", + "4 Yeo–Johnson λ=-3.964 0.060979 -0.843186 7.605624e-08\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "2nd Flr SF\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.731936 -1.044630 1.904799e-32\n", + "1 Log1p 0.646686 -1.280826 3.187818e-33\n", + "2 Sqrt 0.492646 -1.637604 1.501389e-36\n", + "3 Box-Cox λ=-0.093 0.395762 -1.842275 3.696521e-40\n", + "4 Yeo–Johnson λ=-4.331 0.463803 -1.710962 7.071556e-38\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Low Qual Fin SF\n", + " Column is constant, skipping transformations.\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original NaN NaN NaN\n", + "No need to skewness\n", + "Gr Liv Area\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.442162 -0.045347 2.040961e-08\n", + "1 Log1p 0.293152 -0.257306 9.532551e-05\n", + "2 Sqrt 0.018849 -0.422838 1.708059e-02\n", + "3 Box-Cox λ=0.446 -0.026264 -0.436018 1.283401e-02\n", + "4 Yeo–Johnson λ=-1.978 0.018648 -0.505353 3.031253e-03\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Bsmt Full Bath\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.34834 -1.878659 4.210428e-40\n", + "1 Log1p 0.34834 -1.878659 4.210428e-40\n", + "2 Sqrt 0.34834 -1.878659 4.210428e-40\n", + "3 Box-Cox λ=-0.082 0.34834 -1.878659 4.210428e-40\n", + "4 Yeo–Johnson λ=-3.644 0.34834 -1.878659 4.210428e-40\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Bsmt Half Bath\n", + " Column is constant, skipping transformations.\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original NaN NaN NaN\n", + "No need to skewness\n", + "Full Bath\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original -0.289148 -1.433131 3.767711e-24\n", + "1 Log1p -0.339970 -1.578263 1.084539e-29\n", + "2 Sqrt -0.361590 -1.633640 4.962668e-32\n", + "3 Box-Cox λ=1.266 -0.229861 -1.241924 6.307108e-18\n", + "4 Yeo–Johnson λ=3.010 -0.106955 -0.786353 3.065813e-07\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Half Bath\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.453704 -1.731194 3.388560e-38\n", + "1 Log1p 0.442944 -1.780418 1.633736e-39\n", + "2 Sqrt 0.436822 -1.803689 4.040524e-40\n", + "3 Box-Cox λ=-0.100 0.434249 -1.811418 2.632328e-40\n", + "4 Yeo–Johnson λ=-3.228 0.434922 -1.809636 2.888586e-40\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Bedroom AbvGr\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original -0.574971 0.765110 1.945571e-19\n", + "1 Log1p -0.799725 1.065963 5.818817e-37\n", + "2 Sqrt -1.085243 1.756455 3.442481e-77\n", + "3 Box-Cox λ=1.637 0.006869 0.441735 1.214362e-02\n", + "4 Yeo–Johnson λ=3.698 0.029656 0.526282 1.774194e-03\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Kitchen AbvGr\n", + " Column is constant, skipping transformations.\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original NaN NaN NaN\n", + "No need to skewness\n", + "TotRms AbvGrd\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.182316 0.097557 0.040053\n", + "1 Log1p -0.039127 0.050774 0.821591\n", + "2 Sqrt -0.329619 0.413221 0.000001\n", + "3 Box-Cox λ=0.819 0.007378 0.102827 0.783723\n", + "4 Yeo–Johnson λ=0.178 0.000203 0.047712 0.949886\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Fireplaces\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.435838 -0.802447 1.707575e-14\n", + "1 Log1p 0.290574 -1.257020 1.549745e-19\n", + "2 Sqrt 0.064598 -1.854071 1.321709e-34\n", + "3 Box-Cox λ=0.002 -0.009785 -1.998082 6.921493e-40\n", + "4 Yeo–Johnson λ=-1.883 0.127857 -1.704695 7.199572e-30\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Garage Yr Blt\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original -1.010552 0.120907 6.209873e-41\n", + "1 Log1p -1.110561 0.473144 2.622238e-51\n", + "2 Sqrt -1.350694 1.541369 1.336201e-95\n", + "3 Box-Cox λ=2.735 -0.449301 -1.291138 5.374414e-25\n", + "4 Yeo–Johnson λ=11.890 -0.352191 -1.381607 2.584039e-24\n" + ] + }, + { + "data": { + "image/png": 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    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Garage Cars\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original -0.512396 0.651562 3.436412e-15\n", + "1 Log1p -0.879854 1.231952 5.546512e-46\n", + "2 Sqrt -2.151016 6.364916 0.000000e+00\n", + "3 Box-Cox λ=0.791 -0.999547 1.774545 8.305793e-71\n", + "4 Yeo–Johnson λ=2.516 0.020714 0.347018 6.340089e-02\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Garage Area\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original -0.163091 0.566811 6.389845e-05\n", + "1 Log1p -0.534796 1.027138 2.705351e-22\n", + "2 Sqrt -1.978065 6.143988 0.000000e+00\n", + "3 Box-Cox λ=0.750 -0.832406 1.946648 4.472323e-65\n", + "4 Yeo–Johnson λ=1.528 0.022521 0.455883 8.744728e-03\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Wood Deck SF\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.688713 -0.438455 3.207166e-21\n", + "1 Log1p 0.592142 -0.708681 2.081936e-19\n", + "2 Sqrt 0.084302 -1.672121 1.989009e-28\n", + "3 Box-Cox λ=0.044 -0.167532 -1.950416 3.879424e-39\n", + "4 Yeo–Johnson λ=-6.104 0.203248 -1.557520 3.862620e-26\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Open Porch SF\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.949868 0.097338 3.241214e-36\n", + "1 Log1p 0.854338 -0.144106 1.451070e-29\n", + "2 Sqrt 0.020874 -1.341071 2.207069e-18\n", + "3 Box-Cox λ=0.137 -0.487453 -1.644769 1.397957e-36\n", + "4 Yeo–Johnson λ=-8.705 0.213113 -1.284912 1.060597e-18\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Enclosed Porch\n", + " Column is constant, skipping transformations.\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original NaN NaN NaN\n", + "No need to skewness\n", + "3Ssn Porch\n", + " Column is constant, skipping transformations.\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original NaN NaN NaN\n", + "No need to skewness\n", + "Screen Porch\n", + " Column is constant, skipping transformations.\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original NaN NaN NaN\n", + "No need to skewness\n", + "Pool Area\n", + " Column is constant, skipping transformations.\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original NaN NaN NaN\n", + "No need to skewness\n", + "Misc Val\n", + " Column is constant, skipping transformations.\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original NaN NaN NaN\n", + "No need to skewness\n", + "Mo Sold\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.204072 -0.412265 5.003022e-04\n", + "1 Log1p -0.185784 -0.394476 1.317363e-03\n", + "2 Sqrt -1.001648 1.420004 7.289818e-60\n", + "3 Box-Cox λ=0.575 -0.718990 0.674496 1.809389e-25\n", + "4 Yeo–Johnson λ=0.445 -0.011057 -0.442576 1.186075e-02\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Yr Sold\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.136403 -1.141585 3.078675e-14\n", + "1 Log1p -0.141117 -1.191619 1.959227e-15\n", + "2 Sqrt -0.674857 -0.816704 3.899153e-25\n", + "3 Box-Cox λ=0.290 -1.078679 -0.413921 4.700840e-48\n", + "4 Yeo–Johnson λ=0.385 -0.035400 -1.190230 1.139261e-14\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "SalePrice\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.541625 -0.010833 3.090809e-12\n", + "1 Log1p 0.391721 -0.171965 4.898900e-07\n", + "2 Sqrt 0.106102 -0.147317 2.215622e-01\n", + "3 Box-Cox λ=0.391 0.000090 -0.073750 8.844107e-01\n", + "4 Yeo–Johnson λ=-2.518 0.016774 -0.288097 1.495931e-01\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n" + ] + } + ], + "source": [ + "# TODO: Check skewness of numerical features.\n", + "# Apply log, sqrt, Box-Cox, or Yeo-Johnson depending on distribution.\n", + "\n", + "from scipy.stats import skew, kurtosis, jarque_bera, boxcox\n", + "from sklearn.preprocessing import PowerTransformer\n", + "import warnings\n", + "\n", + "# Ignore warnings that might arise from transformations on certain data types\n", + "warnings.filterwarnings(\"ignore\")\n", + "\n", + "# --- Metrics helper ---\n", + "def metrics(vec):\n", + " # Convert to pandas Series to use .nunique()\n", + " vec_series = pd.Series(vec)\n", + " # Check if the vector is constant\n", + " if vec_series.nunique() <= 1:\n", + " return np.nan, np.nan, np.nan # Return NaN for metrics if data is constant\n", + "\n", + " sk = skew(vec, nan_policy='omit')\n", + " ku = kurtosis(vec, fisher=True, nan_policy='omit') # 0 = normal\n", + " jb_stat, jb_p = jarque_bera(vec)\n", + " return sk, ku, jb_p\n", + "\n", + "\n", + "# numerical_cols = df.select_dtypes(include=np.number).columns\n", + "for col in df[col_num]:\n", + " print(col)\n", + " x = df[col].astype(float)\n", + "\n", + " # Check if the column is constant before attempting transformations\n", + " if x.nunique() <= 1:\n", + " print(\" Column is constant, skipping transformations.\")\n", + " rows = [(\"Original\", *metrics(x))]\n", + " else:\n", + " # --- Transformations ---\n", + " x_log = np.log1p(x) # log(1+x)\n", + " x_sqrt = np.sqrt(x) # sqrt\n", + " # Box-Cox needs >0. Add a small constant to handle zero values.\n", + " # Also check if the transformed data is constant after transformation.\n", + " try:\n", + " x_bc, lam_bc = boxcox(x + 1e-6)\n", + " if np.all(x_bc == x_bc[0]):\n", + " x_bc = np.full_like(x_bc, np.nan) # Fill with NaN if transformed data is constant\n", + " lam_bc = np.nan\n", + " except ValueError:\n", + " x_bc = np.full_like(x, np.nan)\n", + " lam_bc = np.nan\n", + "\n", + "\n", + " pt = PowerTransformer(method=\"yeo-johnson\", standardize=False)\n", + " # Reshape for PowerTransformer and then flatten back\n", + " x_yj = pt.fit_transform(x.values.reshape(-1,1)).ravel()\n", + " # Check if the transformed data is constant after transformation.\n", + " if np.all(x_yj == x_yj[0]):\n", + " x_yj = np.full_like(x_yj, np.nan) # Fill with NaN if transformed data is constant\n", + "\n", + "\n", + " # --- Report ---\n", + " rows = [\n", + " (\"Original\", *metrics(x)),\n", + " (\"Log1p\", *metrics(x_log)),\n", + " (\"Sqrt\", *metrics(x_sqrt)),\n", + " (f\"Box-Cox λ={lam_bc:.3f}\" if not np.isnan(lam_bc) else \"Box-Cox\", *metrics(x_bc)),\n", + " (f\"Yeo–Johnson λ={pt.lambdas_[0]:.3f}\", *metrics(x_yj))\n", + " ]\n", + "\n", + " report = pd.DataFrame(rows, columns=[\"Transform\",\"Skewness\",\"Kurtosis\",\"JB-p\"])\n", + " print(report)\n", + "\n", + " # --- Plots (2×3 grid) ---\n", + " if x.nunique() > 1: # Only plot if the original data is not constant\n", + " fig, axes = plt.subplots(2, 3, figsize=(12, 7))\n", + " titles = [\"Original\",\"Log1p\",\"Sqrt\",f\"Box-Cox λ={lam_bc:.3f}\" if not np.isnan(lam_bc) else \"Box-Cox\",f\"Yeo–Johnson λ={pt.lambdas_[0]:.3f}\"]\n", + " data = [x, x_log, x_sqrt, x_bc, x_yj]\n", + "\n", + " for ax, d, title in zip(axes.ravel(), data, titles):\n", + " # Only plot if the data is not constant (check if not all NaNs)\n", + " if not np.all(np.isnan(d)):\n", + " ax.hist(d, bins=40, density=True, color=\"steelblue\", alpha=0.7)\n", + " ax.set_title(title)\n", + " ax.set_xlabel(col); ax.set_ylabel(\"Density\")\n", + " else:\n", + " ax.set_title(f\"{title}\\n(Constant data)\")\n", + " ax.set_xlabel(col); ax.set_ylabel(\"Density\")\n", + "\n", + "\n", + " fig.delaxes(axes[1,2]) # remove empty subplot\n", + " fig.tight_layout()\n", + " plt.show()\n", + " print('No need to skewness')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "voU8eavLkXya" + }, + "source": [ + "## 🔹 Step 10: Remove Duplicates" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "pEyssUgmkZgq", + "outputId": "f4bebf7a-65dc-47e2-fc29-a845059d4ef6" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Duplicate rows: 0\n", + "Rows after dropping duplicates: 1084\n" + ] + } + ], + "source": [ + "# TODO: Check and remove duplicate rows if there is.\n", + "\n", + "# count duplicates\n", + "dup_count = df.duplicated().sum()\n", + "print(f\"Duplicate rows: {dup_count}\")\n", + "\n", + "# (optional) inspect some duplicate rows\n", + "if dup_count:\n", + " display(df[df.duplicated(keep=False)].head())\n", + "\n", + "# drop duplicates (keep first occurrence) and reset index\n", + "df = df.drop_duplicates(keep='first').reset_index(drop=True)\n", + "print(f\"Rows after dropping duplicates: {len(df)}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "AlW4RbaTkeSu" + }, + "source": [ + "## 💾 Step 11: Save Cleaned Dataset" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "naZHc5dnkamR", + "outputId": "85de9021-991a-4c3c-ae57-b0b24e772aeb" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "✅ Cleaned dataset saved successfully!\n" + ] + } + ], + "source": [ + "# Save your final cleaned and engineered dataset to CSV.\n", + "df.to_csv(\"AmesHousing_engineered.csv\", index=False)\n", + "print(\"✅ Cleaned dataset saved successfully!\")\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/Python Fundamentals_ SoroorParsafar.py b/a0.1/Python Fundamentals_ SoroorParsafar.py new file mode 100644 index 0000000..822071c --- /dev/null +++ b/a0.1/Python Fundamentals_ SoroorParsafar.py @@ -0,0 +1,229 @@ +# -*- coding: utf-8 -*- +"""Copy of Assignment 01. Python | Nexus | RezaShokrzad.ipynb + +Automatically generated by Colab. + +Original file is located at + https://colab.research.google.com/drive/1fkMJLhjA6cqvmZv5bAwCpr92ALLC6ACY + +# 📚 Assignment 1 — Python Fundamentals + +

    📢⚠️📂

    + +

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    + +

    🚨📝🧠

    + +------------------------------------------------ +Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily: + +1. Variable types + +2. Core containers + +3. Functions + +4. Classes + +Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊 + +## 1. Variable Types 🧮 +**Quick-start notes** + +* Primitive types: `int`, `float`, `str`, `bool` + +* Use `type(obj)` to inspect an object’s type. + +* Casting ↔ converting: `int("3")`, `str(3.14)`, `bool(0)`, etc. + +### Task 1 — Celsius → Fahrenheit +""" + +# 👉 a Celsius temperature (as text), convert it to float, +# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line. +# TODO: + +celsius_text = "26.0" +celsius_float = float(celsius_text) +fahrenheit = celsius_float * 9/5 + 32 +print(f"The tempreture is {celsius_float}°C, which is {fahrenheit}°F.") + +"""### Task 2 — Tiny Calculator + +""" + +# 👉 Store two numbers of **different types** (one int, one float), +# then print their sum, difference, product, true division, and floor division. +# TODO: +int_num = 10 +float_num = 3.5 +print(f"sum {int_num + float_num}") +print(f"difference {int_num - float_num}") +print(f"product {int_num * float_num}") +print(f"true division {int_num / float_num}") +print(f"floor division {int_num // float_num}") + +"""## 2. Containers 📦 (list, tuple, set, dict) +**Quick-start notes** + +| Container | Mutable? | Ordered? | Typical use | +| --------- | -------- | ----------------------------- | --------------------------------- | +| `list` | ✔ | ✔ | Growth, indexing, slicing | +| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys | +| `set` | ✔ | ✖ | Deduplication, membership tests | +| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups | + +### Task 1 — Grocery Basket +""" + +# Start with an empty shopping list (list). +# 1. Append at least 4 items supplied in one line of user input (comma-separated). +# 2. Convert the list to a *tuple* called immutable_basket. +# 3. Print the third item using tuple indexing. +# TODO: +shopping_list = [] +user_input = input("Enter at least 4 items, separated by commas: ") +items = [item.strip() for item in user_input.split(',')] +shopping_list.extend(items) +print(f"Your shopping list: {shopping_list}") +immutable_basket = tuple(shopping_list) +print(f"The immutable tuple: {immutable_basket}") +if len(immutable_basket) >= 3: + print(f"The third item is: {immutable_basket[2]}") +else: + print("Not enough items in the basket to get the third item.") + +"""### Task 2 — Word Stats""" + +sample = "to be or not to be that is the question" + +# 1. Build a set `unique_words` containing every distinct word. +# 2. Build a dict `word_counts` mapping each word to the number of times it appears. +# (Hint: .split() + a simple loop) +# 3. Print the two structures and explain (in a comment) their main difference. +# TODO: +unique_words = "to be or not to be that is the question." + +word_counts = text.lower().replace('.', '').split() + +unique_words = set(words) + +word_counts = {} + +for word in words: + word_counts[word] = word_counts.get(word, 0) + 1 + +print("Unique words (set):") +print(unique_words) +print("\nWord counts (dictionary):") +print(word_counts) + +# A set stores only unique, unordered elements and is highly optimized for checking if +# an item is present. A dictionary stores key-value pairs, which is perfect for +# mapping each unique word to its corresponding count. + +"""## 3. Functions 🔧 +**Quick-start notes** + +* Define with `def`, return with `return`. + +* Parameters can have default values. + +* Docstrings (`''' … '''`) document behaviour. + +### Task 1 — Prime Tester +""" + +def is_prime(n: int) -> bool: + """ + Return True if n is a prime number, else False. + 0 and 1 are *not* prime. + """ + # TODO: replace pass with your implementation + if n <= 1: + return False + for i in range(2, int(n**0.5) + 1): + if n % i == 0: + return False + return True + + +# Quick self-check +print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7] + +"""### Task 2 — Repeater Greeter""" + +def greet(name: str, times: int = 1) -> None: + """Print `name`, capitalised, exactly `times` times on one line.""" + # TODO: + capitalized_name = name.capitalize() + print(' '.join([capitalized_name] * times)) + +greet("alice") # Alice +greet("bob", times=3) # Bob Bob Bob + +"""## 4. Classes 🏗️ +**Quick-start notes** + +* Create with class Name: + +* Special method __init__ runs on construction. + +* self refers to the instance; attributes live on self. + +### Task 1 — Simple Counter +""" + +class Counter: + """Counts how many times `increment` is called.""" + # TODO: + # 1. In __init__, store an internal count variable starting at 0. + # 2. Method increment(step: int = 1) adds `step` to the count. + # 3. Method value() returns the current count. + + def __init__(self): + self.count = 0 + + def increment(self, step: int = 1) -> None: + self.count += step + + def value(self) -> int: + return self.count + + +c = Counter() +for _ in range(5): + c.increment() +print(c.value()) # Expected: 5 + +"""### Task 2 — 2-D Point with Distance""" + +import math + +class Point: + """ + A 2-D point supporting distance calculation. + Usage: + p = Point(3, 4) + q = Point(0, 0) + print(p.distance_to(q)) # 5.0 + """ + # TODO: + # 1. Store x and y as attributes. + # 2. Implement distance_to(other) using the Euclidean formula. + + def __init__(self, x: float, y: float) -> None: + self.x = x + self.y = y + + def distance_to(self, other: 'Point') -> float: + """Calculates the Euclidean distance to another Point.""" + dx = self.x - other.x + dy = self.y - other.y + return math.sqrt(dx**2 + dy**2) + + +# Smoke test +p, q = Point(3, 4), Point(0, 0) +assert round(p.distance_to(q), 1) == 5.0 +print(p.distance_to(q)) \ No newline at end of file diff --git a/a0.1/README.md b/a0.1/README.md new file mode 100644 index 0000000..c9256aa --- /dev/null +++ b/a0.1/README.md @@ -0,0 +1,86 @@ +# Nexus_Assignments +This repo is provided to be a host of Nexus course assignments. + +# Homework Submission Instructions + +This document outlines the steps to clone, complete, and submit homework assignments using the provided `utils.py` script. + +## Prerequisites + +- Ensure you have Python installed on your system. +- Install Git on your machine. +- Set up SSH keys for secure Git operations. + +## Setup Instructions + +1. **Configure SSH Keys**: + + - Generate an SSH key pair if you don't already have one: + + ```bash + ssh-keygen -t ed25519 -C "your_email@example.com" + ``` + + - Add the public key to your Git hosting service (e.g., GitHub, GitLab). + + - Start the SSH agent and add your private key: + + ```bash + eval "$(ssh-agent -s)" + ssh-add ~/.ssh/id_ed25519 + ``` + +## Cloning and Submitting Homework + +Follow these steps for each homework assignment (e.g., Homework 0.3): + +1. **Update Local Repository**: + + - Before starting, ensure your local repository is up-to-date: + + ```bash + git pull + ``` + +2. **Clone the Homework**: + + - Use the `utils.py` script to clone the homework assignment: + + ```bash + python utils.py + ``` + + Replace `` with the specific homework number (e.g., `0.3`). + +3. **Complete the Homework**: + + - Navigate to the cloned homework directory. + - Complete the required tasks or assignments as per the instructions. + +4. **Commit and Push Changes**: + + - Stage your changes: + + ```bash + git add . + ``` + + - Commit your changes with a descriptive message: + + ```bash + git commit -m "Completed Homework " + ``` + + - Push your changes to the remote repository: + + ```bash + git push origin main + ``` + +## Important Notes + +- Always run `git pull` before starting work to avoid conflicts and ensure you have the latest updates. +- Follow the clone*-complete-push procedure for every homework assignment. +- *: here clone means using utils.py command to clone the homework not git clone. + +Verify your SSH keys are correctly configured to avoid authentication issues. diff --git a/a0.1/Rooholla_Alikhani_Squat_PoseEstimation/READ ME.txt b/a0.1/Rooholla_Alikhani_Squat_PoseEstimation/READ ME.txt new file mode 100644 index 0000000..5ad0c37 --- /dev/null +++ b/a0.1/Rooholla_Alikhani_Squat_PoseEstimation/READ ME.txt @@ -0,0 +1,12 @@ +Libraries required for this script : + +pip install opencv-python==3.4.18.65 +pip install mediapipe +pip install numpy + +About Task : +This code is written to count and detect the correct execution of the squat movement. +The code is resistant to different modes: facing, inclined and from the side. This movement is recognizable to the machine. + +By : Rooholla Alikhani +https://github.com/RAlIKHANI1991 \ No newline at end of file diff --git a/a0.1/Rooholla_Alikhani_Squat_PoseEstimation/Squat_poseestimation_Alikhani.py b/a0.1/Rooholla_Alikhani_Squat_PoseEstimation/Squat_poseestimation_Alikhani.py new file mode 100644 index 0000000..b9fbd99 --- /dev/null +++ b/a0.1/Rooholla_Alikhani_Squat_PoseEstimation/Squat_poseestimation_Alikhani.py @@ -0,0 +1,122 @@ +import cv2 # version 3 +import mediapipe as mp +import numpy as np +from collections import deque + +mp_drawing = mp.solutions.drawing_utils +mp_pose = mp.solutions.pose + +def calculate_angle(a, b, c): + a = np.array(a) + b = np.array(b) + c = np.array(c) + + ba = a - b + bc = c - b + + if np.linalg.norm(ba) == 0 or np.linalg.norm(bc) == 0: + return 0 + + cosine_angle = np.dot(ba, bc) / (np.linalg.norm(ba) * np.linalg.norm(bc)) + cosine_angle = np.clip(cosine_angle, -1.0, 1.0) + return np.degrees(np.arccos(cosine_angle)) + +def get_landmarks(results): + landmarks = results.pose_landmarks.landmark + return { + "L_hip": [landmarks[mp_pose.PoseLandmark.LEFT_HIP.value].x, + landmarks[mp_pose.PoseLandmark.LEFT_HIP.value].y], + "L_knee": [landmarks[mp_pose.PoseLandmark.LEFT_KNEE.value].x, + landmarks[mp_pose.PoseLandmark.LEFT_KNEE.value].y], + "L_ankle": [landmarks[mp_pose.PoseLandmark.LEFT_ANKLE.value].x, + landmarks[mp_pose.PoseLandmark.LEFT_ANKLE.value].y], + "R_hip": [landmarks[mp_pose.PoseLandmark.RIGHT_HIP.value].x, + landmarks[mp_pose.PoseLandmark.RIGHT_HIP.value].y], + "R_knee": [landmarks[mp_pose.PoseLandmark.RIGHT_KNEE.value].x, + landmarks[mp_pose.PoseLandmark.RIGHT_KNEE.value].y], + "R_ankle": [landmarks[mp_pose.PoseLandmark.RIGHT_ANKLE.value].x, + landmarks[mp_pose.PoseLandmark.RIGHT_ANKLE.value].y], + "R_shoulder": [landmarks[mp_pose.PoseLandmark.RIGHT_SHOULDER.value].x, + landmarks[mp_pose.PoseLandmark.RIGHT_SHOULDER.value].y], + "L_shoulder": [landmarks[mp_pose.PoseLandmark.LEFT_SHOULDER.value].x, + landmarks[mp_pose.PoseLandmark.LEFT_SHOULDER.value].y], + } + +def squat_counter(): + cap = cv2.VideoCapture(0) + counter = 0 + stage = None + knee_angles = deque(maxlen=5) + + with mp_pose.Pose(min_detection_confidence=0.5, + min_tracking_confidence=0.5) as pose: + while cap.isOpened(): + ret, frame = cap.read() + if not ret: + print("❌errro to read Frame") + break + + image = cv2.cvtColor(frame, cv2.COLOR_BGR2RGB) + image.flags.writeable = False + results = pose.process(image) + + image.flags.writeable = True + image = cv2.cvtColor(image, cv2.COLOR_RGB2BGR) + + try: + points = get_landmarks(results) + + L_knee_angle = calculate_angle(points["L_hip"], points["L_knee"], points["L_ankle"]) + R_knee_angle = calculate_angle(points["R_hip"], points["R_knee"], points["R_ankle"]) + knee_angle = (L_knee_angle + R_knee_angle) / 2 + + back_angle_R = calculate_angle(points["R_shoulder"], points["R_hip"], points["R_knee"]) + back_angle_L = calculate_angle(points["L_shoulder"], points["L_hip"], points["L_knee"]) + back_angle = (back_angle_R + back_angle_L) / 2 + + knee_angles.append(knee_angle) + smooth_knee_angle = np.mean(knee_angles) + + if stage is None and smooth_knee_angle > 150: + stage = "up" + + error_flag = False + if back_angle < 60: + error_flag = True + + if not error_flag: + if smooth_knee_angle < 110 and stage == "up": + stage = "down" + if smooth_knee_angle > 150 and stage == "down": + stage = "up" + counter += 1 + + cv2.putText(image, f'Knee: {int(smooth_knee_angle)}', + (50, 150), cv2.FONT_HERSHEY_SIMPLEX, 0.8, (255, 255, 255), 2) + cv2.putText(image, f'Back: {int(back_angle)}', + (50, 200), cv2.FONT_HERSHEY_SIMPLEX, 0.8, (255, 255, 255), 2) + cv2.putText(image, f'Squats: {counter}', (50, 50), + cv2.FONT_HERSHEY_SIMPLEX, 1, (0, 0, 255), 2) + cv2.putText(image, f'Stage: {stage}', (50, 100), + cv2.FONT_HERSHEY_SIMPLEX, 1, (255, 255, 0), 2) + + if error_flag: + cv2.putText(image, "❌Wrong move!!! 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+ ], + "metadata": { + "id": "_g3q1mgo1j07" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "DL0Q4GQA1UiY" + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "from sklearn.model_selection import train_test_split\n", + "from sklearn.preprocessing import StandardScaler\n", + "from sklearn.metrics import classification_report\n", + "\n", + "import fasttext\n", + "import re\n", + "import spacy\n", + "\n", + "from sklearn.manifold import TSNE\n", + "\n", + "import tensorflow as tf\n", + "from tensorflow.keras.datasets import imdb\n", + "\n", + "import warnings\n", + "warnings.filterwarnings('ignore')\n", + "from IPython.display import display , HTML\n" + ] + }, + { + "cell_type": "code", + "source": [ + "word_index = imdb.get_word_index()\n", + "reverse_word_index = dict([(value , key) for (key , value) in word_index.items()])\n", + "\n", + "def decode_review(text):\n", + " return \" \".join([reverse_word_index.get(i-3 , \"?\") for i in text])\n", + "\n", + "(x_train , y_train) , (x_test , y_test) = imdb.load_data(num_words = 10000)\n", + "\n", + "x_train = np.array([decode_review(x) for x in x_train[:4000]])\n", + "y_train = np.array(y_train[:4000])\n", + "\n", + "x_test = np.array([decode_review(x) for x in x_test[:4000]])\n", + "y_test = np.array(y_test[:4000])\n", + "\n", + "df_train = pd.DataFrame({\"review\" : x_train , \"sentiment\" : y_train})\n", + "df_test = pd.DataFrame({\"review\" : x_test , \"sentiment\" : y_test})\n", + "df = pd.concat([df_train , df_test])" + ], + "metadata": { + "id": "8AAVMIvf2c2u" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "df" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 424 + }, + "id": "P0f_VXYYJikQ", + "outputId": "a9c7b7c0-d399-4544-a632-2a51eb82941d" 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i don't know which was worse the viewer's made ? of or the stars in this movie who look like ? am i to believe that this woman raised this child for seven years and never noticed the child was a bit dark am i to believe her mother her father and her husband never once said hmmm this child looks a bit dark am i to believe when the ? ordered the mother to view the adopted parents records that lisa ? had this wow look on her face when she told her mother christopher is half black what was that for real gee do you think so so not only did the grandmother and grandfather look dopey and stupid never once mentioning this but i guess we were supposed to look surprised and say ? ? he is half black totally stupid movie almost an embarrassment even to watch this\",\n \"? wow not in a good way br br i can't believe people dig this trash most of the shows on television are pretty bad and this has been a running trend for a while now they just keep getting worse but las vegas definitely takes it home what a terrible show br br the actors are a bunch of has been c losers that never went anywhere except james ? who knows what he was thinking when he signed on to this ? so its not their fault that this show sucks they just can't help it blame the producers and the writers i can't believe they shot this and were actually proud enough of their work to air it\"\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"sentiment\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0,\n \"min\": 0,\n \"max\": 1,\n \"num_unique_values\": 2,\n \"samples\": [\n 0,\n 1\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n }\n ]\n}" + } + }, + "metadata": {}, + "execution_count": 49 + } + ] + }, + { + "cell_type": "code", + "source": [ + "df.shape" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "0L-DMD-WJn6v", + "outputId": "5712270d-511d-4cb6-a0ce-812770531515" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "(8000, 2)" + ] + }, + "metadata": {}, + "execution_count": 50 + } + ] + }, + { + "cell_type": "code", + "source": [ + "from ydata_profiling import ProfileReport\n", + "\n", + "profile = ProfileReport(df , title=\"Profiling Report\", explorative=True)\n", + "profile.to_file(\"profiling_report.html\")" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 201, + "referenced_widgets": [ + "29622b75cd89439c868b72c4ab7f8dfd", + "0a97259065844199b9bd9f5f75675319", + "87940f6caa0944e5aa0cb94e608663dc", + "0c944294738740e0893d06d432cf6ffd", + "8e87b2e489c94566a7d9aeedb860733b", + "0df4a59dd2ec47fda18636a6a3ddb24e", + "654e5c4992da40358bc1b6ad5c32f425", + "a9839e3d9d6841bc815436e66b15a6d4", + "87c79e1e7c1d4fec80922380ff56507e", + "9a33b2a55f4c4682a6a4787680d71a59", + "19554315d70141daa1c577ff6d2173ca", + "41d6867405e94169bf06b148f5ac6f55", + "5c8fffdfa11d41f18225c2f79ef1ff0b", + "c2567d9df0ca432a8ffa2dad03cc43f7", + "9c72a9ea5a1540fb9b44d8f866e6b190", + "3641c30dddee4cd48083b8752ac3dc71", + "362509272d084cef99e15f7e87a3a309", + "f5ee4396d03a4b87a08b0add9db3923f", + "d3a5d76d829e4cae8e21b3e8f5f4a999", + "27856cee66614195b26f902a3336babb", + "49de71904a56406b9c73ea883fe230df", + "ca76f2cdf1a6487b8d34cec68bd68c5c", + "17382c0e662346e1b1b24ec5c1c1b8f5", + "63595cc7bfcd40a5aa36161ab3507084", + "39b6b3a39bc34202879396482ecb27dd", + "476b579526da4fca8527604ab0748067", + "43855f27a9994a44b3f0f2ec2b5d4065", + "588f0061024a44ebbc4400b5ddcc91f2", + "c2ab160b0fb74c73a3412e6d996aad6f", + "9cba1168d1c44ea197e350b1d37f2059", + "6801fc2e22e5448f9a9d3a93be1e0341", + "10225f5427f14f678ef7c1c2174c641f", + "c3672bb0316c4c62ace0340bbbc3e3ad", + "deec14db29454096a9d15a2b960642d6", + "4421eb2879404a71b54d818a07b68b66", + "cba09d84b0eb489b8f576ed0ee8234ed", + "e719b0c8cdb9401d9d068e14bf1f03e4", + "f84f16ba3d344d65a8ff3b3af3a7bf74", + "a55b1f5725e64399a371523daa08ad87", + "be95ed4550cf41db949ea8a6758cb387", + "75fa049269154f648a8ba824f3caa9fa", + "63b3e100b8be457d8960e898fc47e107", + "6bffb097ea284761b6ff48d5568144b6", + "3f95b3f51e8440f597609b58d2454b9a" + ] + }, + "id": "8P6aOAJRJu7_", + "outputId": "3fe57281-40a6-4e19-c78e-e1e2034bd113" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "Summarize dataset: 0%| | 0/5 [00:00" + ], + "text/html": [ + "Profiling Report

    Overview

    Dataset statistics
    Number of variables2
    Number of observations8000
    Missing cells0
    Missing cells (%)0.0%
    Duplicate rows11
    Duplicate rows (%)0.1%
    Total size in memory10.4 MiB
    Average record size in memory1.3 KiB

    Variable types
    Text1
    Categorical1

    Alerts

    Dataset has 11 (0.1%) duplicate rowsDuplicates

    Reproduction
    Analysis started2025-12-13 18:05:38.681985
    Analysis finished2025-12-13 18:05:42.425931
    Duration3.74 seconds
    Software versionydata-profiling vv4.18.0
    Download configurationconfig.json

    Variables

    review
    Text

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    Missing (%)0.0%
    Memory size10.3 MiB
    2025-12-13T18:05:42.761594image/svg+xmlMatplotlib v3.10.0, https://matplotlib.org/

    Length
    Max length9342
    Median length2682
    Mean length1182.6344
    Min length32

    Characters and Unicode
    Total characters9461075
    Distinct characters45
    Distinct categories1 ?
    Distinct scripts1 ?
    Distinct blocks1 ?

    The Unicode Standard assigns character properties to each code point, which can be used to analyse textual variables.

    Unique
    Unique7978 ?
    Unique (%)99.7%

    Sample
    1st row? this film was just brilliant casting location scenery story direction everyone's really suited the part they played and you could just imagine being there robert ? is an amazing actor and now the same being director ? father came from the same scottish island as myself so i loved the fact there was a real connection with this film the witty remarks throughout the film were great it was just brilliant so much that i bought the film as soon as it was released for ? and would recommend it to everyone to watch and the fly fishing was amazing really cried at the end it was so sad and you know what they say if you cry at a film it must have been good and this definitely was also ? to the two little boy's that played the ? of norman and paul they were just brilliant children are often left out of the ? list i think because the stars that play them all grown up are such a big profile for the whole film but these children are amazing and should be praised for what they have done don't you think the whole story was so lovely because it was true and was someone's life after all that was shared with us all
    2nd row? big hair big boobs bad music and a giant safety pin these are the words to best describe this terrible movie i love cheesy horror movies and i've seen hundreds but this had got to be on of the worst ever made the plot is paper thin and ridiculous the acting is an abomination the script is completely laughable the best is the end showdown with the cop and how he worked out who the killer is it's just so damn terribly written the clothes are sickening and funny in equal ? the hair is big lots of boobs ? men wear those cut ? shirts that show off their ? sickening that men actually wore them and the music is just ? trash that plays over and over again in almost every scene there is trashy music boobs and ? taking away bodies and the gym still doesn't close for ? all joking aside this is a truly bad film whose only charm is to look back on the disaster that was the 80's and have a good old laugh at how bad everything was back then
    3rd row? this has to be one of the worst films of the 1990s when my friends i were watching this film being the target audience it was aimed at we just sat watched the first half an hour with our jaws touching the floor at how bad it really was the rest of the time everyone else in the theatre just started talking to each other leaving or generally crying into their popcorn that they actually paid money they had ? working to watch this feeble excuse for a film it must have looked like a great idea on paper but on film it looks like no one in the film has a clue what is going on crap acting crap costumes i can't get across how ? this is to watch save yourself an hour a bit of your life
    4th row? the ? ? at storytelling the traditional sort many years after the event i can still see in my ? eye an elderly lady my friend's mother retelling the battle of ? she makes the characters come alive her passion is that of an eye witness one to the events on the ? heath a mile or so from where she lives br br of course it happened many years before she was born but you wouldn't guess from the way she tells it the same story is told in bars the length and ? of scotland as i discussed it with a friend one night in ? a local cut in to give his version the discussion continued to closing time br br stories passed down like this become part of our being who doesn't remember the stories our parents told us when we were children they become our invisible world and as we grow older they maybe still serve as inspiration or as an emotional ? fact and fiction blend with ? role models warning stories ? magic and mystery br br my name is ? like my grandfather and his grandfather before him our protagonist introduces himself to us and also introduces the story that stretches back through generations it produces stories within stories stories that evoke the ? wonder of scotland its rugged mountains ? in ? the stuff of legend yet ? is ? in reality this is what gives it its special charm it has a rough beauty and authenticity ? with some of the finest ? singing you will ever hear br br ? ? visits his grandfather in hospital shortly before his death he burns with frustration part of him ? to be in the twenty first century to hang out in ? but he is raised on the western ? among a ? speaking community br br yet there is a deeper conflict within him he ? to know the truth the truth behind his ? ancient stories where does fiction end and he wants to know the truth behind the death of his parents br br he is pulled to make a last ? journey to the ? of one of ? most ? mountains can the truth be told or is it all in stories br br in this story about stories we ? bloody battles ? lovers the ? of old and the sometimes more ? ? of accepted truth in doing so we each connect with ? as he lives the story of his own life br br ? the ? ? is probably the most honest ? and genuinely beautiful film of scotland ever made like ? i got slightly annoyed with the ? of hanging stories on more stories but also like ? i ? this once i saw the ? picture ' forget the box office ? of braveheart and its like you might even ? the ? famous ? of the wicker man to see a film that is true to scotland this one is probably unique if you maybe ? on it deeply enough you might even re ? the power of storytelling and the age old question of whether there are some truths that cannot be told but only experienced
    5th row? worst mistake of my life br br i picked this movie up at target for 5 because i figured hey it's sandler i can get some cheap laughs i was wrong completely wrong mid way through the film all three of my friends were asleep and i was still suffering worst plot worst script worst movie i have ever seen i wanted to hit my head up against a wall for an hour then i'd stop and you know why because it felt damn good upon bashing my head in i stuck that damn movie in the ? and watched it burn and that felt better than anything else i've ever done it took american psycho army of darkness and kill bill just to get over that crap i hate you sandler for actually going through with this and ruining a whole day of my life

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    112178
     
    5.9%
    the107659
     
    5.7%
    and52204
     
    2.8%
    a51720
     
    2.7%
    of46273
     
    2.4%
    to43235
     
    2.3%
    is34155
     
    1.8%
    br32558
     
    1.7%
    in30056
     
    1.6%
    it24962
     
    1.3%
    Other values (9962)1353982
    71.7%
    2025-12-13T18:05:43.275507image/svg+xmlMatplotlib v3.10.0, https://matplotlib.org/

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    a593872
     
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    i563046
     
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    o562228
     
    5.9%
    s489830
     
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    r433624
     
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    h426650
     
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    Other values (35)2417832
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    Most occurring categories

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    Most frequent character per category

    (unknown)
    ValueCountFrequency (%)
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    e890922
     
    9.4%
    t718488
     
    7.6%
    a593872
     
    6.3%
    i563046
     
    6.0%
    o562228
     
    5.9%
    s489830
     
    5.2%
    n483563
     
    5.1%
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    Other values (35)2417832
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    (unknown)9461075
    100.0%

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    (unknown)
    ValueCountFrequency (%)
    1881020
    19.9%
    e890922
     
    9.4%
    t718488
     
    7.6%
    a593872
     
    6.3%
    i563046
     
    6.0%
    o562228
     
    5.9%
    s489830
     
    5.2%
    n483563
     
    5.1%
    r433624
     
    4.6%
    h426650
     
    4.5%
    Other values (35)2417832
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    Most frequent character per block

    (unknown)
    ValueCountFrequency (%)
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    19.9%
    e890922
     
    9.4%
    t718488
     
    7.6%
    a593872
     
    6.3%
    i563046
     
    6.0%
    o562228
     
    5.9%
    s489830
     
    5.2%
    n483563
     
    5.1%
    r433624
     
    4.6%
    h426650
     
    4.5%
    Other values (35)2417832
    25.6%

    sentiment
    Categorical

    Distinct2
    Distinct (%)< 0.1%
    Missing0
    Missing (%)0.0%
    Memory size453.1 KiB
    0
    4035 
    1
    3965 

    Length
    Max length1
    Median length1
    Mean length1
    Min length1

    Characters and Unicode
    Total characters8000
    Distinct characters2
    Distinct categories1 ?
    Distinct scripts1 ?
    Distinct blocks1 ?

    The Unicode Standard assigns character properties to each code point, which can be used to analyse textual variables.

    Unique
    Unique0 ?
    Unique (%)0.0%

    Sample
    1st row1
    2nd row0
    3rd row0
    4th row1
    5th row0

    Common Values

    ValueCountFrequency (%)
    04035
    50.4%
    13965
    49.6%

    Length

    2025-12-13T18:05:43.408153image/svg+xmlMatplotlib v3.10.0, https://matplotlib.org/
    Histogram of lengths of the category

    Common Values (Plot)

    2025-12-13T18:05:43.483712image/svg+xmlMatplotlib v3.10.0, https://matplotlib.org/
    ValueCountFrequency (%)
    04035
    50.4%
    13965
    49.6%

    Most occurring characters

    ValueCountFrequency (%)
    04035
    50.4%
    13965
    49.6%

    Most occurring categories

    ValueCountFrequency (%)
    (unknown)8000
    100.0%

    Most frequent character per category

    (unknown)
    ValueCountFrequency (%)
    04035
    50.4%
    13965
    49.6%

    Most occurring scripts

    ValueCountFrequency (%)
    (unknown)8000
    100.0%

    Most frequent character per script

    (unknown)
    ValueCountFrequency (%)
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    50.4%
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    Most occurring blocks

    ValueCountFrequency (%)
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    100.0%

    Most frequent character per block

    (unknown)
    ValueCountFrequency (%)
    04035
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    Missing values

    2025-12-13T18:05:42.281641image/svg+xmlMatplotlib v3.10.0, https://matplotlib.org/
    A simple visualization of nullity by column.
    2025-12-13T18:05:42.350377image/svg+xmlMatplotlib v3.10.0, https://matplotlib.org/
    Nullity matrix is a data-dense display which lets you quickly visually pick out patterns in data completion.

    Sample

    reviewsentiment
    0? this film was just brilliant casting location scenery story direction everyone's really suited the part they played and you could just imagine being there robert ? is an amazing actor and now the same being director ? father came from the same scottish island as myself so i loved the fact there was a real connection with this film the witty remarks throughout the film were great it was just brilliant so much that i bought the film as soon as it was released for ? and would recommend it to everyone to watch and the fly fishing was amazing really cried at the end it was so sad and you know what they say if you cry at a film it must have been good and this definitely was also ? to the two little boy's that played the ? of norman and paul they were just brilliant children are often left out of the ? list i think because the stars that play them all grown up are such a big profile for the whole film but these children are amazing and should be praised for what they have done don't you think the whole story was so lovely because it was true and was someone's life after all that was shared with us all1
    1? big hair big boobs bad music and a giant safety pin these are the words to best describe this terrible movie i love cheesy horror movies and i've seen hundreds but this had got to be on of the worst ever made the plot is paper thin and ridiculous the acting is an abomination the script is completely laughable the best is the end showdown with the cop and how he worked out who the killer is it's just so damn terribly written the clothes are sickening and funny in equal ? the hair is big lots of boobs ? men wear those cut ? shirts that show off their ? sickening that men actually wore them and the music is just ? trash that plays over and over again in almost every scene there is trashy music boobs and ? taking away bodies and the gym still doesn't close for ? all joking aside this is a truly bad film whose only charm is to look back on the disaster that was the 80's and have a good old laugh at how bad everything was back then0
    2? this has to be one of the worst films of the 1990s when my friends i were watching this film being the target audience it was aimed at we just sat watched the first half an hour with our jaws touching the floor at how bad it really was the rest of the time everyone else in the theatre just started talking to each other leaving or generally crying into their popcorn that they actually paid money they had ? working to watch this feeble excuse for a film it must have looked like a great idea on paper but on film it looks like no one in the film has a clue what is going on crap acting crap costumes i can't get across how ? this is to watch save yourself an hour a bit of your life0
    3? the ? ? at storytelling the traditional sort many years after the event i can still see in my ? eye an elderly lady my friend's mother retelling the battle of ? she makes the characters come alive her passion is that of an eye witness one to the events on the ? heath a mile or so from where she lives br br of course it happened many years before she was born but you wouldn't guess from the way she tells it the same story is told in bars the length and ? of scotland as i discussed it with a friend one night in ? a local cut in to give his version the discussion continued to closing time br br stories passed down like this become part of our being who doesn't remember the stories our parents told us when we were children they become our invisible world and as we grow older they maybe still serve as inspiration or as an emotional ? fact and fiction blend with ? role models warning stories ? magic and mystery br br my name is ? like my grandfather and his grandfather before him our protagonist introduces himself to us and also introduces the story that stretches back through generations it produces stories within stories stories that evoke the ? wonder of scotland its rugged mountains ? in ? the stuff of legend yet ? is ? in reality this is what gives it its special charm it has a rough beauty and authenticity ? with some of the finest ? singing you will ever hear br br ? ? visits his grandfather in hospital shortly before his death he burns with frustration part of him ? to be in the twenty first century to hang out in ? but he is raised on the western ? among a ? speaking community br br yet there is a deeper conflict within him he ? to know the truth the truth behind his ? ancient stories where does fiction end and he wants to know the truth behind the death of his parents br br he is pulled to make a last ? journey to the ? of one of ? most ? mountains can the truth be told or is it all in stories br br in this story about stories we ? bloody battles ? lovers the ? of old and the sometimes more ? ? of accepted truth in doing so we each connect with ? as he lives the story of his own life br br ? the ? ? is probably the most honest ? and genuinely beautiful film of scotland ever made like ? i got slightly annoyed with the ? of hanging stories on more stories but also like ? i ? this once i saw the ? picture ' forget the box office ? of braveheart and its like you might even ? the ? famous ? of the wicker man to see a film that is true to scotland this one is probably unique if you maybe ? on it deeply enough you might even re ? the power of storytelling and the age old question of whether there are some truths that cannot be told but only experienced1
    4? worst mistake of my life br br i picked this movie up at target for 5 because i figured hey it's sandler i can get some cheap laughs i was wrong completely wrong mid way through the film all three of my friends were asleep and i was still suffering worst plot worst script worst movie i have ever seen i wanted to hit my head up against a wall for an hour then i'd stop and you know why because it felt damn good upon bashing my head in i stuck that damn movie in the ? and watched it burn and that felt better than anything else i've ever done it took american psycho army of darkness and kill bill just to get over that crap i hate you sandler for actually going through with this and ruining a whole day of my life0
    5? begins better than it ends funny that the russian submarine crew ? all other actors it's like those scenes where documentary shots br br spoiler part the message ? was contrary to the whole story it just does not ? br br0
    6? lavish production values and solid performances in this straightforward adaption of jane ? satirical classic about the marriage game within and between the classes in ? 18th century england northam and paltrow are a ? mixture as friends who must pass through ? and lies to discover that they love each other good humor is a ? virtue which goes a long way towards explaining the ? of the aged source material which has been toned down a bit in its harsh ? i liked the look of the film and how shots were set up and i thought it didn't rely too much on ? of head shots like most other films of the 80s and 90s do very good results1
    7? the ? tells the story of the four hamilton siblings teenager francis ? ? twins ? joseph ? ? ? ? the ? david samuel who is now the surrogate parent in charge the ? move house a lot ? is unsure why is unhappy with the way things are the fact that his brother's sister kidnap ? murder people in the basement doesn't help relax or calm ? nerves either francis ? something just isn't right when he eventually finds out the truth things will never be the same again br br co written co produced directed by mitchell ? phil ? as the butcher brothers who's only other film director's credit so far is the april ? day 2008 remake enough said this was one of the ? to die ? at the 2006 after dark ? or whatever it's called in keeping with pretty much all the other's i've seen i thought the ? was complete total utter crap i found the character's really poor very unlikable the slow moving story failed to capture my imagination or sustain my interest over it's 85 a half minute too long ? minute duration the there's the awful twist at the end which had me laughing out loud there's this really big ? build up to what's inside a ? thing in the ? basement it's eventually revealed to be a little boy with a teddy is that really supposed to scare us is that really supposed to shock us is that really something that is supposed to have us talking about it as the end credits roll is a harmless looking young boy the best ? ending that the makers could come up with the boring plot ? along it's never made clear where the ? get all their money from to buy new houses since none of them seem to work except david in a ? i doubt that pays much or why they haven't been caught before now the script tries to mix in every day drama with potent horror it just does a terrible job of combining the two to the extent that neither aspect is memorable or effective a really bad film that i am struggling to say anything good about br br despite being written directed by the extreme sounding butcher brothers there's no gore here there's a bit of blood splatter a few scenes of girls ? up in a basement but nothing you couldn't do at home yourself with a bottle of ? ? a camcorder the film is neither scary since it's got a very middle class suburban setting there's zero atmosphere or mood there's a lesbian suggest incestuous kiss but the ? is low on the exploitation scale there's not much here for the horror crowd br br filmed in ? in california this has that modern low budget look about it it's not badly made but rather forgettable the acting by an unknown to me cast is nothing to write home about i can't say i ever felt anything for anyone br br the ? commits the ? sin of being both dull boring from which it never ? add to that an ultra thin story no gore a rubbish ending character's who you don't give a toss about you have a film that did not impress me at all0
    8? just got out and cannot believe what a brilliant documentary this is rarely do you walk out of a movie theater in such awe and ? lately movies have become so over hyped that the thrill of discovering something truly special and unique rarely happens ? ? did this to me when it first came out and this movie is doing to me now i didn't know a thing about this before going into it and what a surprise if you hear the concept you might get the feeling that this is one of those ? movies about an amazing triumph covered with over the top music and trying to have us fully convinced of what a great story it is telling but then not letting us in ? this is not that movie the people tell the story this does such a good job of capturing every moment of their involvement while we enter their world and feel every second with them there is so much beyond the climb that makes everything they go through so much more tense touching the void was also a great doc about mountain climbing and showing the intensity in an engaging way but this film is much more of a human story i just saw it today but i will go and say that this is one of the best documentaries i have ever seen1
    9? this movie has many problem associated with it that makes it come off like a low budget class project from someone in film school i have to give it credit on its ? though many times throughout the movie i found myself laughing hysterically it was so bad at times that it was comical which made it a fun watch br br if you're looking for a low grade slasher movie with a twist of psychological horror and a dash of campy ? then pop a bowl of popcorn invite some friends over and have some fun br br i agree with other comments that the sound is very bad dialog is next to impossible to follow much of the time and the soundtrack is kind of just there0
    reviewsentiment
    3990? just a short comment i want to say that i like this movie very much sandra ? is my favourite actress i like the whole story from the beginning until the end i have it on tape and i can watch it a 100 times it doesn't matter1
    3991? in december 1945 a train leaves the central station of ? for berlin there aren't much left when it arrives not of the train and not of some passengers br br this is a black comedy directed by peter ? and acted like they used to act in the 40s and also photographed in b w like they used to during that period the actors must have had lots of fun making it they aren't much of characters like they weren't in the 40s but the story is well narrated and everybody has timing br br a deadly black and deadly funny film see it if you didn't think the ? were capable of humour1
    3992? the most generic surface level biography you could hope for ? ? of holly is accurate but who wants to hear gary busey sing maybe baby typically the members of the are used for comic relief and melodrama smith and ? respectively instead of as people or even characters when holly uses a string section the old jewish looking guys who come in tell him he's using the same techniques as ? it's just this kind of ? statement that makes film ? like this and ? about the aforementioned ? so worthless some entertainment can be derived from ? excellent styles and songs done in a b variation0
    3993? this is one of my 3 favorite movies i've been out on the water since i was 13 so i got a lot of the humor as well as ? a lot of the near land scenery the movie although taking place in and around virginia was filmed around the san francisco bay most notably the fleet just east of the bridge where ? ? character was first introduced to the ? ? and the ? of san francisco at the very end of the movie including a boat that i've worked on as other people have said the actors appeared to have fun making this movie as well as making it entertaining the line we're approaching the bottom sir i can hear a couple of ? ? it out is at least to me priceless br br i am one of numerous people who is ? awaiting a ? dvd of down ? to be introduced1
    3994? as a local performer i thought that grease ? what broadway producers are looking for and it ? a small bit of the acting population although my favorites did not win but came in second i enjoyed comparing myself to them and seeing what i liked and where i could improve as a performer br br they brought in olivia ? john because she is the obvious link between the broadway production and television audiences br br they sang songs from the movie hopelessly devoted et al because these songs will be included in the new production br br i agree with the earlier comment made that the ? cast looks so much older but you must bear in mind that these are people who have been on broadway and worked their ? off to be there if the entire cast was green and fresh then i believe that would have ? the casting process by which producers choose their talent1
    3995? first of all around the time i wrote this comment i had already read what 1 had written about this game and was confused this is a video game and not an actual movie i mean i myself would choose a good deniro movie or playing a video game any day but dude what are you talking about now that i have that out of the way let's move on shall we the video game adaption of ? tiger hidden dragon is as you may have guessed based on the movie of the same name what's stranger is that this was released three years after the film was released whether that's due to a slow development time or just plain ? no one really knows at least i don't br br the game allows the player to play as the four main characters of the movie ? ? li ? ? and dark cloud whose story is a secret bonus that is ? for separate ? all four of these characters have fighting styles based on how they fought in the movie however the real eye candy is the ? moves that allow each character to avoid the blows of an ? attack in the most impossible and gravity ? ways that were first ? in the movie br br the story is obviously based on the story told in the movie the story in the game is told using cg movies and spoken in a subtitled ? language a nice little touch considering i preferred the foreign language track of the film over the dubbed one the story goes to expand on what ? happened to the other characters during the film and even no real surprise since pretty much all video game movie ? have done this ? what officially happened in the movie to make the game have more action i never thought ? fox would go so far as to actually go and get hired ? br br the real bonus for the story is the ability to decide how the game ends what if ? had all the ingredients to cure li ? ? in her possession what if ? had not gotten back her ? what if li ? ? had not gotten the green destiny back for the second time your actions will decide the outcome of these scenarios and the destiny of the characters in this game this is truly the best feature of the game br br yet for all it's strengths it also showcases some flaws the enemies often tend to become a ? after a while and the camera angle tends to be fixed on the most ? of spots not even the special features which are ? after beating the game are good enough to even forgive such ? that are forced upon the player br br if you loved the movie you may enjoy the game however this game is the only way you're going to be able to ? yourself into a version of such a beautiful and amazing movie br br of course you could have just picked a deniro movie instead1
    3996? you don't have to be a to appreciate this gem of a movie i don't know a word of ? and saw this movie only because a friend had recommended it to me understanding a movie without knowing the language is quite tough but i could make out the story because the lead actors and actresses ? really well and the little girl was really cute she wasn't irritating like child actors in most hindi movies the story is really touching and hats off to mr for trying something different the relationship between the parents and their children are shown quite realistically i could identify with the characters in the movie it was a movie that will remain in my heart forever and i wouldn't hesitate to recommend it to my friends also the songs are just out of this world they were beautifully and ? ? if only i could understand the right meaning of the lyrics1
    3997? this movie deals with the european ? exchange program but more generally about the european youth it is so true that i don't know did to reach such a masterpiece definitely one of my top 5 movies it reminds me of the famous song this is my life my life life is life 10 101
    3998? you could get into the ? gritty of this film and say how it couldn't happen or how could the main character just walk into ? and start using computers etc without someone ? and really pick the movie to bits or you could just sit back with a bucket of popcorn and enjoy the story and the acting personally i prefer the latter i live real life and watch the news with all it's doom and ? and so would much rather be entertained by my movies and see the bad guys get their just ? don't take it too seriously and you can thoroughly enjoy this film1
    3999? the accounts seem real with a human factor added to the mix a lot of sadness i'm sure glad that i wasn't him another thing to add is that all the women in this show were not really pretty accounts of the real women but i don't think that it was about the women although it was to ? ? passion what a shame any loss of life is a real shame br br seemed like a good account of his life i recommend it if you are into ? and melodrama1

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    reviewsentiment# duplicates
    0? apart from the fact that this film was made i suppose it seemed a good idea at the time considering bottom was so popular the one thing that puzzled me about guest house ? was what happened to the lighting there is absolutely no artificial lighting used in this film whatsoever and i watched it on network tv so it ? t a case of watching a dodgy tape in fact the film was shot so darkly it was impossible to see what the hell was going on but if the dialogue was anything to go by that s maybe not a bad thing02
    1? br br summary not worth the film br br as an avid gone with the wind fan i was disappointed to watch the original movie and see that they had left out many important characters luckily the film on its own was a wonderful piece when the book scarlett came out i read it in hopes of following two of my favorite literary characters ? on their journey together while the book lacks any true quality it remains a good story and as long as i was able to separate it from the original was and still is enjoyable however i consider the six hours i spent watching the scarlett miniseries to be some of the worst spent hours of my life any of the original character traits so well formed in margaret ? book this series also turned the story of the sequel into one of rape ? murder and relationships that even the book scarlett stayed away from the casting for many of the characters refused to examine the traits that had been so well formed in both the original novel and film and even carried through in the second book and again leaves out at least one incredibly crucial character in the novel scarlett o'hara butler follows her estranged husband ? butler to ? under the ? of visiting extended family after coming to an ? with ? she agrees to leave and proceeds to ? with her o'hara relatives in ? eventually she ? her cousin a passionate leader of the ? to ireland to further explore her family's roots that go deep and is eventually named the o'hara the head of the family while her duties as the o'hara keep her engaged in her town of scarlett ? out into the world of the english ? and instantly becomes a sought after guest at many of their parties she having been ? by ? time and time again eventually agrees to marry luke the earl of ? until ? comes along in a clichéd night on white horse type of a rescue the scarlett miniseries fails even to do this justice raped by her fiancé and ? by her family the series shows scarlett thrown in jail after she is blamed for a murder her cousin committed br br i ? advise anyone considering spending their day watching this to ? this decision br br02
    2? how has this piece of crap stayed on tv this long it's terrible it makes me want to shoot someone it's so fake that it is actually worse than a 1940s sci fi movie i'd rather have a stroke than watch this nonsense i remember watching it when it first came out i thought hey this could be interesting then i found out how absolutely insanely ridiculously stupid it really was it was so bad that i actually took out my pocket knife and stuck my hand to the table br br please people stop watching this and all other reality shows they're the trash that is ? the networks and ? quality programming that requires some thought to create02
    3? i read the reviews of this movie and they were generally pretty good so i thought i should see it i'm a big ? and art film lover but i believe this is yet another case in which the critics make something arty or intellectual into something it is not i will be blunt it contains scenes of sexual ? that i never ever wanted to actually see obviously the piano teacher has some major psychological issues but i really did not want to see them displayed so ? the film is in essence disgusting i mean when i saw ? for a dream i was ? by the last sort of scene with jennifer ? but that was not anywhere near the sort of disgust and ? i felt during this film02
    4? i rented the video of the piano teacher knowing nothing about it other than what was written on the video box i did this with some ? because films that win awards at cannes are usually very good or very bad unfortunately this one falls in the latter category about one quarter of the way into it i found myself saying out loud this movie is boring about half way through i was saying to myself where have i seen this before at the three quarters mark i had figured it out br br in spite of its literary origins this film is essentially a remake of robert altman's much earlier 1969 and better that cold day in the park although the details obviously ? and altman's work was more plot driven and less of a character study the two films are ? identical there is nothing new to be seen in this production every aspect of it has been done before a character ? out of control with increasingly self destructive behavior ? ? bad lieutenant 1992 a perverse and doomed ? culminating in an operatic near death scene david ? m ? 1993 ? brutal sex scenes david lynch's blue ? 1986 and so on hence i am ? by the fact that so many found the film to be shocking shattering etc this highly derivative film seems to have been made for the sole purpose of making viewers feel uncomfortable and clearly succeeded with some however i largely ? such a reaction to a lack of film viewing experience see enough movies and you really will eventually have seen it all and while it is true that i saw the ? ? ? version i doubt that the additional scenes would change my overall opinion of the piano teacher br br technically the film is not without merit there is some very good camera work and the lighting is excellent isabelle ? ? performance also helps save it from being a waste of time this is the first of ? films that i've seen and if i were to see more i expect i would have the same opinion of him that i have of ? an interesting director but not nearly the genius others make him out to be rating 4 1002
    5? inappropriate the pg rating that this movie gets is yet another huge ? by the mpaa whale rider gets a pg 13 but this movie gets a pg please parents don't be fooled taking an ? school child to this movie is a huge mistake there were numerous times i found myself being uncomfortable not just because the humor was inappropriate for kids but also because it was totally out of the blue and unnecessary br br but all that aside the cat in the hat is still a terrible movie the casting and overall look of the movie are the only saving ? the beautiful kelly preston and the always likeable or ? in this case alec baldwin are both good in their roles even though preston is almost too beautiful for a role like this the kids are ? actors and it shows especially with ? fanning fanning is the only human aspect of the film that kept me watching and not throwing things at the screen br br did i mention there was an ? talking cat in this movie mike myers is absolutely ? i didn't like him as the voice of shrek and i truly believe now that myers should not be allowed near the realm of children's films ever again his portrayal of the cat is a slightly toned down version of fat bastard and austin powers br br in the end the cat should not have come he should have stayed away but he came even if just for a day he ruined ? minutes of my life ? minutes of personal anger and ? br br the cat in the hat may be the worst kids movie ever02
    6? it's so sad that romanian audiences are still populated with vulgar and ? individuals who ? this kind of cheap and ? shows as superficial and brutal as the ? series or the ? ? child plays the difference is that ? ? ? ? ? and other such sub ? never presume to claim their shows as art ? who 40 years ago made a very good movie ? la ? ? followed by another one nice enough ? tries to ? his film ? art works but unfortunately he masters at a way too limited level the specifically cinematographic means of expression as such ? ? offers again a ? of how not this being about its only merit02
    7? no redeeming features this film is rubbish its jokes don't begin to be funny the humour for children is pathetic and the attempts to appeal to adults just add a tacky ? to the whole miserable package sitting through it with my children just made me uncomfortable about what might be coming next i couldn't enjoy the film at all although my child for whom the dvd was bought enjoyed the fact that she owned a new dvd neither she nor her sisters expressed much interest in seeing it again unlike with monsters inc finding ? jungle book lion king etc which all get frequent ? for ?02
    8? red ? was still another major star who made the transition from movies to television with ease br br his shows certainly brought a laughter to the american ? of years back br br he would begin the show with an opening monologue afterwards we would have a variety of characters remember ? and ? in the monologue how can we ever forget san ? red i remember one episode where as a king red introduced his queen by referring to her as your ? br br go know that red would use his comedic talents to really hide from his tragic life he lost a son to ? at age 11 or so his wife georgia died by suicide12
    9? so much for judge and jury which lives up to its nonsense title what good is there the lighting is terribly ? another horror movie you ask well that's perfectly ? david keith actually does pretty good at ? ? ? and other ? while being the killer who escaped death row but overall despite some new twists it's reasonably stupid has been putting out some ludicrous productions recently and this one only means so much we the jury find this film guilty for its ? exposure to many of us sitting around believing it's a total waste of our time02

    Report generated by YData.

    " + ] + }, + "metadata": {}, + "execution_count": 52 + } + ] + }, + { + "cell_type": "code", + "source": [ + "df = df.drop_duplicates()" + ], + "metadata": { + "id": "tXwtvfSMLvmx" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "nlp = spacy.load(\"en_core_web_sm\" , disable=[\"parser\", \"ner\", \"lemmatizer\"])\n", + "\n", + "def preprocess_text(text):\n", + " doc = nlp(str(text).lower())\n", + " tokens = [token.text for token in doc if token.is_alpha or token.is_digit and not token.is_stop]\n", + " return \" \".join(tokens)\n", + "\n", + "df['review'] = df['review'].apply(preprocess_text)\n" + ], + "metadata": { + "id": "9ViuaTl8NESY" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "import random\n", + "\n", + "i = random.randint(0 , len(df) - 1)\n", + "print(f\"\\nBefore: {df[\"review\"].iloc[i][:80]}\")\n", + "print(f\"\\nAfter: {df[\"review\"].iloc[i][:80]}\")" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "DExfCzd9O-9v", + "outputId": "ad995968-f964-4170-ca06-70aa71a9090a" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Before: with batman returns tim burton to an important in american cinema giving a seque\n", + "\n", + "After: with batman returns tim burton to an important in american cinema giving a seque\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "x_train , x_test , y_train , y_test = train_test_split(df[\"review\"] , df[\"sentiment\"].values , test_size=0.2 , random_state=42 , stratify=df[\"sentiment\"].values)\n", + "print(f\"Shape of training data: {x_train.shape}\")\n", + "print(f\"Shape of testing data: {x_test.shape}\")" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "7TncUD3Nf7sK", + "outputId": "d365f528-3a2f-4a1a-c636-3abfc09bc5c6" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Shape of training data: (6391,)\n", + "Shape of testing data: (1598,)\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "def to_fasttext_format(texts, labels, path):\n", + " with open(path, \"w\", encoding=\"utf-8\") as f:\n", + " for text, label in zip(texts, labels):\n", + " f.write(f\"__label__{label} {text}\\n\")\n", + "\n", + "to_fasttext_format(x_train, y_train, \"train_fasttext.txt\")\n" + ], + "metadata": { + "id": "1VOc-Ks9SPLQ" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "ft_model = fasttext.train_supervised(\n", + " input=\"train_fasttext.txt\",\n", + " epoch=25,\n", + " lr=0.5,\n", + " wordNgrams=2,\n", + " dim=300,\n", + " verbose=0\n", + ")" + ], + "metadata": { + "id": "qIEhhkyYUjX9" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "x_train_emb = np.vstack([ft_model.get_sentence_vector(text) for text in x_train])\n", + "x_test_emb = np.vstack([ft_model.get_sentence_vector(text) for text in x_test])" + ], + "metadata": { + "id": "gvJb8EH2XbIq" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "print(x_train_emb.shape)\n", + "print(x_test_emb.shape)\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "lIzpA7RN4HpX", + "outputId": "64a7c332-3f45-4d7e-dd69-a8348ddb7f5d" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "(6391, 300)\n", + "(1598, 300)\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "from lightgbm import LGBMClassifier\n", + "\n", + "print(\"Training LightGBM model...\")\n", + "\n", + "lgbm_model = LGBMClassifier(\n", + " n_estimators=150,\n", + " max_depth=6,\n", + " learning_rate=0.1,\n", + " subsample=0.8,\n", + " colsample_bytree=0.8,\n", + " random_state=42,\n", + " verbosity=-1\n", + ")\n", + "\n", + "lgbm_model.fit(x_train_emb, y_train, eval_set=[(x_test_emb, y_test)], eval_metric=\"logloss\")\n", + "\n", + "print(\"✓ Model trained\")" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "BKT1k4XDkbnL", + "outputId": "46c002bf-d73e-4606-df6b-3c50b04ad040" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Training LightGBM model...\n", + "✓ Model trained\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "y_pred_lgbm = lgbm_model.predict(x_test_emb)" + ], + "metadata": { + "id": "XwRRuwf5lfgf" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# Classification report\n", + "print(classification_report(y_test , y_pred_lgbm))" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "2XOBQ6kwmF-X", + "outputId": "035796ff-5232-445a-87fe-665b37603ae7" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + " precision recall f1-score support\n", + "\n", + " 0 0.89 0.86 0.87 805\n", + " 1 0.86 0.89 0.88 793\n", + "\n", + " accuracy 0.87 1598\n", + " macro avg 0.88 0.87 0.87 1598\n", + "weighted avg 0.88 0.87 0.87 1598\n", + "\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.1/A0.1. Python.ipynb b/a0.1/a0.1/A0.1. Python.ipynb new file mode 100644 index 0000000..e631807 --- /dev/null +++ b/a0.1/a0.1/A0.1. Python.ipynb @@ -0,0 +1,432 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "ZS5lje_18xC2" + }, + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u5vvtK-6840I" + }, + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UyNHtkGm9OgH" + }, + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "background_save": true + }, + "id": "lmaiboJe8E15", + "outputId": "0ac8b4eb-8e4e-41b0-cd36-ee266a75e029" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "25.0°C is equal to 77.00°F\n" + ] + } + ], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "# TODO: your code here\n", + "# Celsius temperature as text\n", + "celsius_text = \"25\"\n", + "\n", + "# Convert to float\n", + "celsius = float(celsius_text)\n", + "\n", + "# Compute Fahrenheit (°F = °C * 9/5 + 32)\n", + "fahrenheit = celsius * 9 / 5 + 32\n", + "\n", + "# Print nicely formatted line\n", + "print(f\"{celsius}°C is equal to {fahrenheit:.2f}°F\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BtsB8QKM9Xs_" + }, + "source": [ + "### Task 2 — Tiny Calculator\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "background_save": true + }, + "id": "DSR8aS-F9Z10", + "outputId": "0d25d073-e25f-49d7-c3bf-1ab5870610f0" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sum: 13.5\n", + "Difference: 6.5\n", + "Product: 35.0\n", + "True Division: 2.857142857142857\n", + "Floor Division: 2.0\n" + ] + } + ], + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "# TODO: your code here\n", + "# Store two numbers of different types\n", + "num_int = 10 # int\n", + "num_float = 3.5 # float\n", + "\n", + "# Operations\n", + "sum_result = num_int + num_float\n", + "difference = num_int - num_float\n", + "product = num_int * num_float\n", + "true_division = num_int / num_float\n", + "floor_division = num_int // num_float\n", + "\n", + "# Print results\n", + "print(f\"Sum: {sum_result}\")\n", + "print(f\"Difference: {difference}\")\n", + "print(f\"Product: {product}\")\n", + "print(f\"True Division: {true_division}\")\n", + "print(f\"Floor Division: {floor_division}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8JjHX4wy9dPz" + }, + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wRyJyhbt9uUr" + }, + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "1J4jcLct9yVO" + }, + "outputs": [], + "source": [ + "# Start with an empty shopping list (list).\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "# 3. Print the third item using tuple indexing.\n", + "# TODO: your code here\n", + "# Start with an empty shopping list\n", + "shopping_list = []\n", + "\n", + "# 1. Append at least 4 items from user input (comma-separated)\n", + "user_input = input(\"Enter at least 4 shopping items, separated by commas: \")\n", + "shopping_list.extend([item.strip() for item in user_input.split(\",\")])\n", + "\n", + "# 2. Convert the list to a tuple\n", + "immutable_basket = tuple(shopping_list)\n", + "\n", + "# 3. Print the third item using tuple indexing\n", + "print(f\"Your shopping list (tuple): {immutable_basket}\")\n", + "print(f\"The third item is: {immutable_basket[2]}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "byKd8SFK9w2y" + }, + "source": [ + "### Task 2 — Word Stats" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "4rLrxkPj90p3" + }, + "outputs": [], + "source": [ + "sample = \"to be or not to be that is the question\"\n", + "\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "# TODO: your code here\n", + "\n", + "# 1. Build a set `unique_words` containing every distinct word\n", + "unique_words = set(sample.split())\n", + "\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears\n", + "word_counts = {}\n", + "for word in sample.split():\n", + " word_counts[word] = word_counts.get(word, 0) + 1\n", + "\n", + "# 3. Print the two structures\n", + "print(\"Unique words (set):\", unique_words)\n", + "print(\"Word counts (dict):\", word_counts)\n", + "\n", + "# Difference:\n", + "# ✅ Set: stores ONLY distinct items (no duplicates) and does NOT keep counts.\n", + "# ✅ Dict: maps each word (key) to its count (value), so you know how many times each appears.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gbGMbtLf94M4" + }, + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QOsToPh2-AnZ" + }, + "source": [ + "### Task 1 — Prime Tester" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "_pCU2mIH-DAi" + }, + "outputs": [], + "source": [ + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " # TODO: replace pass with your implementation\n", + " if n < 2:\n", + " return False\n", + " for i in range(2, int(n ** 0.5) + 1): # چک کردن تا ریشه دوم عدد\n", + " if n % i == 0:\n", + " return False\n", + " return True\n", + " pass\n", + "\n", + "\n", + "# Quick self-check\n", + "print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "TBGXIzVV-E5u" + }, + "source": [ + "### Task 2 — Repeater Greeter" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "outputs": [], + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + " # TODO: your code here\n", + " print((\" \".join([name.capitalize()] * times)))\n", + "\n", + "greet(\"alice\") # Alice\n", + "greet(\"bob\", times=3) # Bob Bob Bob\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "y7K-GaBC-ImE" + }, + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NgKjsy8A-N3l" + }, + "source": [ + "### Task 1 — Simple Counter" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "dPFvr_fe-OPR" + }, + "outputs": [], + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " # TODO:\n", + " # 1. In __init__, store an internal count variable starting at 0.\n", + " # 2. Method increment(step: int = 1) adds `step` to the count.\n", + " # 3. Method value() returns the current count.\n", + " def __init__(self):\n", + " self._count = 0\n", + "\n", + " def increment(self, step: int = 1):\n", + " \"\"\"Add `step` to the current count.\"\"\"\n", + " self._count += step\n", + "\n", + " def value(self) -> int:\n", + " \"\"\"Return the current count.\"\"\"\n", + " return self._count\n", + "\n", + "c = Counter()\n", + "for _ in range(5):\n", + " c.increment()\n", + "print(c.value()) # Expected: 5\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "U99aupan-Q8u" + }, + "source": [ + "### Task 2 — 2-D Point with Distance" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "OVh3GEzH-T0w" + }, + "outputs": [], + "source": [ + "import math\n", + "\n", + "class Point:\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + " # TODO:\n", + " # 1. Store x and y as attributes.\n", + " # 2. Implement distance_to(other) using the Euclidean formula.\n", + " def __init__(self, x: float, y: float):\n", + " \"\"\"Store x and y as attributes.\"\"\"\n", + " self.x = x\n", + " self.y = y\n", + "\n", + " def distance_to(self, other: \"Point\") -> float:\n", + " \"\"\"Calculate Euclidean distance to another point.\"\"\"\n", + " return math.sqrt((self.x - other.x) ** 2 + (self.y - other.y) ** 2)\n", + "\n", + "\n", + "# Smoke test\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "assert round(p.distance_to(q), 1) == 5.0\n", + "print(p.distance_to(q)) # Output: 5.0" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} \ No newline at end of file diff --git a/a0.1/a0.1/AI-DS_Nexus_A0.1_Python_mhmdrzabd.ipynb b/a0.1/a0.1/AI-DS_Nexus_A0.1_Python_mhmdrzabd.ipynb new file mode 100644 index 0000000..4d53b3c --- /dev/null +++ b/a0.1/a0.1/AI-DS_Nexus_A0.1_Python_mhmdrzabd.ipynb @@ -0,0 +1,463 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "ZS5lje_18xC2" + }, + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u5vvtK-6840I" + }, + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UyNHtkGm9OgH" + }, + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "id": "lmaiboJe8E15" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "52 °F\n" + ] + } + ], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "# TODO: your code here\n", + "Celsius_temperature = '11.6'\n", + "Celsius_temperature = float(Celsius_temperature)\n", + "Fahrenheit = (Celsius_temperature * 9/5) + 32\n", + "print('%d °F' % Fahrenheit)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BtsB8QKM9Xs_" + }, + "source": [ + "### Task 2 — Tiny Calculator\n" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "id": "DSR8aS-F9Z10" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "78.5\n", + "67.5\n", + "401.5\n", + "13.272727272727273\n", + "13\n" + ] + } + ], + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "# TODO: your code here\n", + "x = 73\n", + "y = 5.5\n", + "print(x + y)\n", + "print(x - y)\n", + "print(x * y)\n", + "print(x / y)\n", + "print(int(x // y))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8JjHX4wy9dPz" + }, + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wRyJyhbt9uUr" + }, + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "1J4jcLct9yVO" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['Watter', 'Orange', 'Milk', 'Snack']\n", + "('Watter', 'Orange', 'Milk', 'Snack')\n", + "Milk\n" + ] + } + ], + "source": [ + "# Start with an empty shopping list (list).\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "# 3. Print the third item using tuple indexing.\n", + "# TODO: your code here\n", + "shopping = []\n", + "shopping.extend(['Water', 'Orange', 'Milk', 'Snack'])\n", + "print(shopping)\n", + "immutable_basket = tuple(shopping)\n", + "print(immutable_basket)\n", + "print(immutable_basket[2])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "byKd8SFK9w2y" + }, + "source": [ + "### Task 2 — Word Stats" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "id": "4rLrxkPj90p3" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'banana', 'orange', 'apple'}\n", + "{'apple': 3, 'orange': 2, 'banana': 1}\n" + ] + } + ], + "source": [ + "sample = \"to be or not to be that is the question\"\n", + "\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "# TODO: your code here\n", + "text = 'apple orange apple banana orange apple'\n", + "words = text.split()\n", + "\n", + "unique_words = set(words)\n", + "print(unique_words)\n", + "\n", + "word_counts = {}\n", + "for w in words:\n", + " word_counts[w] = word_counts.get(w, 0) + 1\n", + "\n", + "print(word_counts)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gbGMbtLf94M4" + }, + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QOsToPh2-AnZ" + }, + "source": [ + "### Task 1 — Prime Tester" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "id": "_pCU2mIH-DAi" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2, 3, 5, 7]\n" + ] + } + ], + "source": [ + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " # TODO: replace pass with your implementation\n", + " if n < 2:\n", + " return False\n", + " i = 2\n", + " while i * i <=n:\n", + " if n % i == 0:\n", + " return False\n", + " i += 1\n", + " return True\n", + "\n", + "# Quick self-check\n", + "print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "TBGXIzVV-E5u" + }, + "source": [ + "### Task 2 — Repeater Greeter" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Alice\n", + "Bob Bob Bob\n" + ] + } + ], + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + " # TODO: your code here\n", + " print(((name.capitalize() + \" \") * times).strip())\n", + "\n", + "greet(\"alice\") # Alice\n", + "greet(\"bob\", times=3) # Bob Bob Bob" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "y7K-GaBC-ImE" + }, + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NgKjsy8A-N3l" + }, + "source": [ + "### Task 1 — Simple Counter" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "id": "dPFvr_fe-OPR" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "5\n" + ] + } + ], + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " # TODO:\n", + " # 1. In __init__, store an internal count variable starting at 0.\n", + " # 2. Method increment(step: int = 1) adds `step` to the count.\n", + " # 3. Method value() returns the current count.\n", + "\n", + " def __init__(self):\n", + " self._count = 0\n", + "\n", + " def increment(self, step: int = 1):\n", + " self._count += step\n", + "\n", + " def value(self):\n", + " return self._count\n", + "\n", + "c = Counter()\n", + "for _ in range(5):\n", + " c.increment()\n", + "print(c.value()) # Expected: 5" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "U99aupan-Q8u" + }, + "source": [ + "### Task 2 — 2-D Point with Distance" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "id": "OVh3GEzH-T0w" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "5.0\n" + ] + } + ], + "source": [ + "import math\n", + "\n", + "class Point:\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + " # TODO:\n", + " # 1. Store x and y as attributes.\n", + " # 2. Implement distance_to(other) using the Euclidean formula.\n", + "\n", + " def __init__(self, x: float, y: float):\n", + " self.x = x\n", + " self.y = y\n", + "\n", + " def distance_to(self, other: \"Point\") -> float:\n", + " dx = self.x - other.x\n", + " dy = self.y - other.y\n", + " return math.sqrt(dx*dx + dy*dy)\n", + "\n", + "# Smoke test\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "assert round(p.distance_to(q), 1) == 5.0\n", + "print(p.distance_to(q)) # 5.0" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.7" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.1/AI-DS_Nexus__A0_1_Amirhossein_Zandi_8fca80.ipynb b/a0.1/a0.1/AI-DS_Nexus__A0_1_Amirhossein_Zandi_8fca80.ipynb new file mode 100644 index 0000000..ffdaa7e --- /dev/null +++ b/a0.1/a0.1/AI-DS_Nexus__A0_1_Amirhossein_Zandi_8fca80.ipynb @@ -0,0 +1,490 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "ZS5lje_18xC2" + }, + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u5vvtK-6840I" + }, + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UyNHtkGm9OgH" + }, + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "lmaiboJe8E15" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "30.0°C is equal to 86.0°F\n" + ] + } + ], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "# TODO: your code here\n", + "\n", + "celsius_text = \"30\"\n", + "celsius_num = float(celsius_text)\n", + "Fahrenheit_temp = celsius_num * 9/5 + 32\n", + "print(f\"{celsius_num}°C is equal to {Fahrenheit_temp}°F\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BtsB8QKM9Xs_" + }, + "source": [ + "### Task 2 — Tiny Calculator\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "DSR8aS-F9Z10" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "sum : 13.4\n", + "difference : 6.6\n", + "product : 34.0\n", + "true division : 2.9411764705882355\n", + "floor division : 2.0\n" + ] + } + ], + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "# TODO: your code here\n", + "\n", + "num1 = 10\n", + "num2 = 3.4\n", + "\n", + "print(f\"sum : {num1 + num2}\")\n", + "print(f\"difference : {num1 - num2}\")\n", + "print(f\"product : {num1 * num2}\")\n", + "print(f\"true division : {num1 / num2}\")\n", + "print(f\"floor division : {num1 // num2}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8JjHX4wy9dPz" + }, + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wRyJyhbt9uUr" + }, + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "1J4jcLct9yVO" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "third item in basket : banana\n" + ] + } + ], + "source": [ + "# Start with an empty shopping list (list).\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "# 3. Print the third item using tuple indexing.\n", + "# TODO: your code here\n", + "\n", + "shopping_list = []\n", + "\n", + "user_input = [\"apple\" , \"milk\" , \"banana\" , \"chocolate\"]\n", + "shopping_list.append(user_input)\n", + "\n", + "immutable_basket = tuple(shopping_list[0])\n", + "\n", + "print(f\"third item in basket : {immutable_basket[2]}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "byKd8SFK9w2y" + }, + "source": [ + "### Task 2 — Word Stats" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "4rLrxkPj90p3" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Unique words : {'is', 'that', 'the', 'or', 'to', 'be', 'question', 'not'}\n", + "Word counts : {'to': 2, 'be': 2, 'or': 1, 'not': 1, 'that': 1, 'is': 1, 'the': 1, 'question': 1}\n" + ] + } + ], + "source": [ + "sample = \"to be or not to be that is the question\"\n", + "\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "# TODO: your code here\n", + "\n", + "sample = \"to be or not to be that is the question\"\n", + "\n", + "word_fragment = sample.split()\n", + "unique_words = set(word_fragment)\n", + "\n", + "word_counts = {}\n", + "for item in word_fragment:\n", + " if item in word_counts:\n", + " word_counts[item] += 1\n", + " else:\n", + " word_counts[item] = 1\n", + "\n", + "print(f\"Unique words : {unique_words}\")\n", + "print(f\"Word counts : {word_counts}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gbGMbtLf94M4" + }, + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QOsToPh2-AnZ" + }, + "source": [ + "### Task 1 — Prime Tester" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "_pCU2mIH-DAi" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2, 3, 5, 7]\n" + ] + } + ], + "source": [ + "# def is_prime(n: int) -> bool:\n", + "# \"\"\"\n", + "# Return True if n is a prime number, else False.\n", + "# 0 and 1 are *not* prime.\n", + "# \"\"\"\n", + "# # TODO: replace pass with your implementation\n", + "# pass\n", + "\n", + "\n", + "# Quick self-check\n", + "# print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n", + "\n", + "def is_prime(x):\n", + " if x <= 1:\n", + " return False\n", + " for i in range(2,x):\n", + " if x % i == 0:\n", + " return False\n", + " return True\n", + "\n", + "print([item for item in range(10) if is_prime(item)])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "TBGXIzVV-E5u" + }, + "source": [ + "### Task 2 — Repeater Greeter" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Alice\n", + "Bob Bob Bob\n" + ] + } + ], + "source": [ + "# def greet(name: str, times: int = 1) -> None:\n", + "# \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + "# # TODO: your code here\n", + "\n", + "\n", + "# greet(\"alice\") # Alice\n", + "# greet(\"bob\", times=3) # Bob Bob Bob\n", + "\n", + "def greet(name , times = 1):\n", + " print(\" \".join([name.capitalize()] * times))\n", + "\n", + "greet(\"Alice\")\n", + "greet(\"bob\", times=3)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "y7K-GaBC-ImE" + }, + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NgKjsy8A-N3l" + }, + "source": [ + "### Task 1 — Simple Counter" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "id": "dPFvr_fe-OPR" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "5\n" + ] + } + ], + "source": [ + "# class Counter:\n", + "# \"\"\"Counts how many times `increment` is called.\"\"\"\n", + "# # TODO:\n", + "# # 1. In __init__, store an internal count variable starting at 0.\n", + "# # 2. Method increment(step: int = 1) adds `step` to the count.\n", + "# # 3. Method value() returns the current count.\n", + "\n", + "\n", + "# c = Counter()\n", + "# for _ in range(5):\n", + "# c.increment()\n", + "# print(c.value()) # Expected: 5\n", + "\n", + "class Counter:\n", + " def __init__(self):\n", + " self.count = 0\n", + "\n", + " def increment(self):\n", + " self.count += 1\n", + "\n", + " def get_count(self) :\n", + " return self.count\n", + " \n", + "c = Counter()\n", + "\n", + "for item in range(5):\n", + " c.increment()\n", + "print(c.get_count())" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "U99aupan-Q8u" + }, + "source": [ + "### Task 2 — 2-D Point with Distance" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "id": "OVh3GEzH-T0w" + }, + "outputs": [], + "source": [ + "# import math\n", + "\n", + "# class Point:\n", + "# \"\"\"\n", + "# A 2-D point supporting distance calculation.\n", + "# Usage:\n", + "# p = Point(3, 4)\n", + "# q = Point(0, 0)\n", + "# print(p.distance_to(q)) # 5.0\n", + "# \"\"\"\n", + "# # TODO:\n", + "# # 1. Store x and y as attributes.\n", + "# # 2. Implement distance_to(other) using the Euclidean formula.\n", + "\n", + "\n", + "# # Smoke test\n", + "# p, q = Point(3, 4), Point(0, 0)\n", + "# assert round(p.distance_to(q), 1) == 5.0\n", + "\n", + "\n", + "import math\n", + "\n", + "class Point:\n", + " def __init__(self , x , y):\n", + " self.x = x\n", + " self.y = y\n", + "\n", + " def distance_to(self , other):\n", + " result = math.sqrt((self.x - other.x)**2 + (self.y - other.y)**2)\n", + " return round(result , 1)\n", + " \n", + "p = Point(3,4)\n", + "q = Point(0 , 0)\n", + "\n", + "assert p.distance_to(q) == 5.0" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.1/AI-DS_Nexus__A0_1_Javid_Mohammadi_a60d6f.ipynb b/a0.1/a0.1/AI-DS_Nexus__A0_1_Javid_Mohammadi_a60d6f.ipynb new file mode 100644 index 0000000..887602d --- /dev/null +++ b/a0.1/a0.1/AI-DS_Nexus__A0_1_Javid_Mohammadi_a60d6f.ipynb @@ -0,0 +1,487 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ], + "metadata": { + "id": "ZS5lje_18xC2" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ], + "metadata": { + "id": "u5vvtK-6840I" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ], + "metadata": { + "id": "UyNHtkGm9OgH" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "lmaiboJe8E15", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "b1029a21-b356-4b30-f489-4f90b6a112f0" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "The degree in Fahrenheit is 100.03999999999999\n" + ] + } + ], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "degree = '37.8'\n", + "degree_float = float(degree)\n", + "degree_fahren = ( degree_float * 9 / 5 ) + 32\n", + "print(f'The degree in Fahrenheit is {degree_fahren}')\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Tiny Calculator\n" + ], + "metadata": { + "id": "BtsB8QKM9Xs_" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "num1, num2 = 3.2, 1\n", + "print(\"Welcome to the Tiny Calculator, I hope you're doing well\\n\")\n", + "print(f'The sum of the numbers is: {num1 + num2}')\n", + "print(f'The difference of the numbers is: {num1 - num2}')\n", + "print(f'The product of the numbers is: {num1 * num2}')\n", + "print(f'The true division of the numbers is: {num1 / num2}')\n", + "print(f'The floor division of the numbers is: {num1 // num2}')" + ], + "metadata": { + "id": "DSR8aS-F9Z10", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "94f50542-91d3-4739-fe1f-f35f2b35c335" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Welcome to the Tiny Calculator, I hope you're doing well\n", + "\n", + "The sum of the numbers is: 4.2\n", + "The difference of the numbers is: 2.2\n", + "The product of the numbers is: 3.2\n", + "The true division of the numbers is: 3.2\n", + "The floor division of the numbers is: 3.0\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ], + "metadata": { + "id": "8JjHX4wy9dPz" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ], + "metadata": { + "id": "wRyJyhbt9uUr" + } + }, + { + "cell_type": "code", + "source": [ + "# Start with an empty shopping list (list).\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "# 3. Print the third item using tuple indexing.\n", + "shopping_list = []\n", + "user_input = input('Please enter 4 items for supermarket (separated by comma, e.g: apple, banana, mango, bread): ')\n", + "#user_input = \"apple, banana, mango, bread\"\n", + "shopping_list += user_input.split(',')\n", + "#print(shopping_list)\n", + "immutable_basket = tuple(shopping_list)\n", + "print(f\"The third item of the immutable basket is {immutable_basket[2].strip()}\")\n" + ], + "metadata": { + "id": "1J4jcLct9yVO", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "3a90d804-3aed-4404-8831-d65fdc0bcd5b" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Please enter 4 items for supermarket (separated by comma, e.g: apple, banana, mango, bread): mango, banana, cheetah, bread\n", + "The third item of the immutable basket is cheetah\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Word Stats" + ], + "metadata": { + "id": "byKd8SFK9w2y" + } + }, + { + "cell_type": "code", + "source": [ + "sample = \"to be or not to be that is the question\"\n", + "\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "\n", + "# 1.\n", + "unique_words = set(sample.split())\n", + "\n", + "# 2.\n", + "word_counts = {}\n", + "sample_list = sample.split()\n", + "for word in sample_list:\n", + " count = sample_list.count(word)\n", + " word_counts[word] = count\n", + "\n", + "# 3.\n", + "print(unique_words)\n", + "print(word_counts)\n", + "\n", + "# Sets:\n", + "# No duplicate values\n", + "# Store only values\n", + "# Lookup by value\n", + "\n", + "# Dictionaries:\n", + "# No duplicate keys, but dublicate values are allowed\n", + "# Store key-value pairs separated by : ,eg. key: value\n", + "# Lookup by key" + ], + "metadata": { + "id": "4rLrxkPj90p3", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "2ff90e53-563b-4bd3-922a-2e67d29c0439" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "{'or', 'not', 'the', 'that', 'be', 'question', 'to', 'is'}\n", + "{'to': 2, 'be': 2, 'or': 1, 'not': 1, 'that': 1, 'is': 1, 'the': 1, 'question': 1}\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ], + "metadata": { + "id": "gbGMbtLf94M4" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Prime Tester" + ], + "metadata": { + "id": "QOsToPh2-AnZ" + } + }, + { + "cell_type": "code", + "source": [ + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " if (n == 0) or (n == 1):\n", + " return False\n", + " if n == 2:\n", + " return True\n", + " if n % 2 == 0:\n", + " return False\n", + "\n", + " for i in range (3, n):\n", + " #for i in range(3, int(n**0.5) + 1, 2): #more optimized\n", + " if n % i == 0:\n", + " return False\n", + "\n", + " return True\n", + "\n", + "\n", + "\n", + "# Quick self-check\n", + "print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n" + ], + "metadata": { + "id": "_pCU2mIH-DAi", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "2d190ac9-3d8e-4bdd-c497-e116db2783f8" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[2, 3, 5, 7]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Repeater Greeter" + ], + "metadata": { + "id": "TBGXIzVV-E5u" + } + }, + { + "cell_type": "code", + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + " print((name.capitalize() + ' ') * times)\n", + "\n", + "greet(\"alice\") # Alice\n", + "greet(\"bob\", times=3) # Bob Bob Bob\n" + ], + "metadata": { + "id": "ycvsNyqh-GRM", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "d39ca515-5b38-45d6-cda2-ddb0414cab65" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Alice \n", + "Bob Bob Bob \n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ], + "metadata": { + "id": "y7K-GaBC-ImE" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Simple Counter" + ], + "metadata": { + "id": "NgKjsy8A-N3l" + } + }, + { + "cell_type": "code", + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " # TODO:\n", + " # 1. In __init__, store an internal count variable starting at 0.\n", + " def __init__(self):\n", + " self.count = 0\n", + " # 2. Method increment(step: int = 1) adds `step` to the count.\n", + " def increment(self):\n", + " self.count += 1\n", + " # 3. Method value() returns the current count.\n", + " def value(self):\n", + " return self.count\n", + "\n", + "c = Counter()\n", + "for _ in range(5):\n", + " c.increment()\n", + "print(c.value()) # Expected: 5\n", + "\n", + "#b = Counter()\n", + "#b.value()\n", + "#b.increment()" + ], + "metadata": { + "id": "dPFvr_fe-OPR", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "e0406c18-451d-4035-cf77-a26eda31c7a0" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "5\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — 2-D Point with Distance" + ], + "metadata": { + "id": "U99aupan-Q8u" + } + }, + { + "cell_type": "code", + "source": [ + "import math\n", + "\n", + "class Point:\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + " # TODO:\n", + " # 1. Store x and y as attributes.\n", + " def __init__(self, x, y):\n", + " self.x = x\n", + " self.y = y\n", + " # 2. Implement distance_to(other) using the Euclidean formula.\n", + " def distance_to(self, q):\n", + " return math.sqrt((self.x - q.x) ** 2 + (self.y - q.y) ** 2 )\n", + "\n", + "# Smoke test\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "assert round(p.distance_to(q), 1) == 5.0" + ], + "metadata": { + "id": "OVh3GEzH-T0w" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "ly3MwsoKid9N" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.1/AI-DS_Nexus__A0_1_Project__LeilaRostamian.ipynb b/a0.1/a0.1/AI-DS_Nexus__A0_1_Project__LeilaRostamian.ipynb new file mode 100644 index 0000000..3ffdc3c --- /dev/null +++ b/a0.1/a0.1/AI-DS_Nexus__A0_1_Project__LeilaRostamian.ipynb @@ -0,0 +1,549 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ], + "metadata": { + "id": "ZS5lje_18xC2" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ], + "metadata": { + "id": "u5vvtK-6840I" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ], + "metadata": { + "id": "UyNHtkGm9OgH" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "lmaiboJe8E15", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "da219ea7-5bbe-4264-e206-027ee8155bb8" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Celsius temperature: 10\n", + "👉 10.0 °C = 50.0 °F\n" + ] + } + ], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "# TODO: your code here\n", + "\n", + "Celsius_temperature = input(\"Celsius temperature: \")\n", + "Celsius_temperature = float(Celsius_temperature)\n", + "Fahrenheit_temperature = Celsius_temperature * 9/5 + 32\n", + "print(f\"👉 {Celsius_temperature} °C = {Fahrenheit_temperature} °F\")\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Tiny Calculator\n" + ], + "metadata": { + "id": "BtsB8QKM9Xs_" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "# TODO: your code here\n", + "\n", + "int_num = int(input(\"enter the first number: \"))\n", + "float_num = float(input(\"enter the second number: \"))\n", + "summation = int_num + float_num\n", + "difference = int_num - float_num\n", + "product = int_num * float_num\n", + "true_division = int_num / float_num\n", + "floor_division = int_num // float_num\n", + "\n", + "\n", + "print(f\"\"\"👉 {int_num} and {float_num} are integer and float numbers respectively\\n\n", + " their sum is {summation},\\n\n", + " difference is {difference},\\n\n", + " product is {product},\\n\n", + " true division is {true_division:.2f},\\n\n", + " floor division is {floor_division}\"\"\")\n", + "# one of the numbers is a float, so the sum will also be a float.\n", + "# // calculates exactly the integer part of the division result (i.e., rounds the number towards negative infinity).\n" + ], + "metadata": { + "id": "DSR8aS-F9Z10", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "3d054a1f-1f80-4359-9287-99b31a380100" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "enter the first number: 13\n", + "enter the second number: 6\n", + "👉 13 and 6.0 are integer and float numbers respectively \n", + "\n", + " their sum is 19.0, \n", + "\n", + " difference is 7.0, \n", + "\n", + " product is 78.0, \n", + " \n", + " true division is 2.17,\n", + " \n", + " floor division is 2.0\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "![Screenshot (53).png](data:image/png;base64,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)" + ], + "metadata": { + "id": "RFLgrl37wuqq" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ], + "metadata": { + "id": "8JjHX4wy9dPz" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ], + "metadata": { + "id": "wRyJyhbt9uUr" + } + }, + { + "cell_type": "code", + "source": [ + "# Start with an empty shopping list (list).\n", + "\n", + "# TODO: your code here\n", + "# an empty shopping list (list).\n", + "shopping_list = []\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "for i in range(4):\n", + " item = input(f'enter the {i+1}th item: ')\n", + " shopping_list.append(item)\n", + "\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "shopping_items = tuple(shopping_list)\n", + "\n", + "# 3. Print the third item using tuple indexing.\n", + "print(f\"👉 The third item is {shopping_items[2]}\\n from the shopping list {shopping_list}\\n\")\n", + "\n" + ], + "metadata": { + "id": "1J4jcLct9yVO", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "72f6103c-7a68-46a9-caef-be58c007a691" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "enter the 1th item: egg\n", + "enter the 2th item: fruit\n", + "enter the 3th item: vegetable\n", + "enter the 4th item: bread\n", + "👉 The third item is vegetable \n", + " from the shopping list ['egg', 'fruit', 'vegetable', 'bread']\n", + "\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Word Stats" + ], + "metadata": { + "id": "byKd8SFK9w2y" + } + }, + { + "cell_type": "code", + "source": [ + "sample = \"to be or not to be that is the question\"\n", + "\n", + "# TODO: your code here\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "sample = sample.split()\n", + "unique_words = set(sample)\n", + "\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "word_counts = {}\n", + "for word in sample:\n", + " if word in word_counts:\n", + " word_counts[word] += 1\n", + " else:\n", + " word_counts[word] = 1\n", + "\n", + "# We can also code in this way\n", + "# word_counts = {word: sample.count(word) for word in set(sample)}\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "\n", + "print(f'''{sample} is a list of words.\\n\n", + "A set contains every distinct word: {unique_words}.\\n\n", + "A dictionary maps each word to the number of times appearing: {word_counts}\\n''')\n", + "\n", + "# We can also code in this way\n", + "# word_counts = {word: sample.count(word) for word in sample}\n", + "\n" + ], + "metadata": { + "id": "4rLrxkPj90p3", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "4e29ebdf-2913-4f5e-eca4-95aac1ea4c01" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "['to', 'be', 'or', 'not', 'to', 'be', 'that', 'is', 'the', 'question'] is a list of words.\n", + "\n", + "A set contains every distinct word: {'is', 'not', 'that', 'the', 'question', 'to', 'be', 'or'}.\n", + "\n", + "A dictionary maps each word to the number of times appearing: {'to': 2, 'be': 2, 'or': 1, 'not': 1, 'that': 1, 'is': 1, 'the': 1, 'question': 1}\n", + "\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ], + "metadata": { + "id": "gbGMbtLf94M4" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Prime Tester" + ], + "metadata": { + "id": "QOsToPh2-AnZ" + } + }, + { + "cell_type": "code", + "source": [ + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " # TODO: replace pass with your implementation\n", + " if n <= 1:\n", + " return False\n", + " else:\n", + " for i in range(2, int(n**0.5) + 1):\n", + " if n % i == 0:\n", + " return False\n", + "\n", + " return True\n", + "\n", + "# Quick self-check\n", + "print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n", + "\n", + "\n" + ], + "metadata": { + "id": "_pCU2mIH-DAi", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "149653ee-76e0-4a10-d6b6-68a1f3bea078" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[2, 3, 5, 7]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Repeater Greeter" + ], + "metadata": { + "id": "TBGXIzVV-E5u" + } + }, + { + "cell_type": "code", + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + " name_with_space = name.capitalize() + ' '\n", + " print(name_with_space * times)\n", + " # TODO: your code here\n", + "\n", + "\n", + "greet(\"alice\") # Alice\n", + "greet(\"bob\", times=3) # Bob Bob Bob\n" + ], + "metadata": { + "id": "ycvsNyqh-GRM", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "9c1f467e-c351-4fa4-b640-79d648d135e9" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Alice \n", + "Bob Bob Bob \n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ], + "metadata": { + "id": "y7K-GaBC-ImE" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Simple Counter" + ], + "metadata": { + "id": "NgKjsy8A-N3l" + } + }, + { + "cell_type": "code", + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " # TODO:\n", + " # 1. In __init__, store an internal count variable starting at 0.\n", + " def __init__(self):\n", + " self.count = 0\n", + " # \"create the class, then a folder called count in its memory and put the number 0 in it.\"\n", + "\n", + " # 2. Method increment(step: int = 1) adds `step` to the count.\n", + " def increment(self, step: int = 1):\n", + " self.count += 1\n", + "\n", + " # 3. Method value() returns the current count.\n", + " def value(self):\n", + " return self.count\n", + "\n", + "\n", + "c = Counter()\n", + "for _ in range(5):\n", + " c.increment()\n", + "print(c.value()) # Expected: 5\n" + ], + "metadata": { + "id": "dPFvr_fe-OPR", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "92ec8ec2-e624-4600-ed60-d58675616320" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "5\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — 2-D Point with Distance" + ], + "metadata": { + "id": "U99aupan-Q8u" + } + }, + { + "cell_type": "code", + "source": [ + "import math\n", + "\n", + "class Point:\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + " # TODO:\n", + " # 1. Store x and y as attributes.\n", + "\n", + " def __init__(self, x: float, y: float):\n", + " self.x = x\n", + " self.y = y\n", + "\n", + " # 2. Implement distance_to(other) using the Euclidean formula.\n", + "\n", + " def distance_to(self, other : 'Point') -> float:\n", + " dx = self.x - other.x\n", + " dy = self.y - other.y\n", + " # return (dx**2 + dy**2)**0.5\n", + " return math.sqrt(dx**2 + dy**2)\n", + "\n", + "\n", + "# Smoke test\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "assert round(p.distance_to(q), 1) == 5.0\n", + "\n" + ], + "metadata": { + "id": "OVh3GEzH-T0w", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "2b0767fb-44aa-44ee-e21e-c9d309d788ee" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "True" + ] + }, + "metadata": {}, + "execution_count": 22 + } + ] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.1/AI-DS_Nexus__A0_1_Project__RezaShokr.ipynb b/a0.1/a0.1/AI-DS_Nexus__A0_1_Project__RezaShokr.ipynb new file mode 100644 index 0000000..7e54e91 --- /dev/null +++ b/a0.1/a0.1/AI-DS_Nexus__A0_1_Project__RezaShokr.ipynb @@ -0,0 +1,577 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "ZS5lje_18xC2" + }, + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u5vvtK-6840I" + }, + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UyNHtkGm9OgH" + }, + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "lmaiboJe8E15" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "38.6° Celsius is 398.7° Fahrenhit\n" + ] + } + ], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "# TODO: your code here\n", + "\n", + "#VERSION 1\n", + "degree_celsius1 = '38.6'\n", + "degree_fahrenhit1 = round((float(degree_celsius1) * 9.5 + 32) , 1) \n", + "print(f'{degree_celsius1}° Celsius is {degree_fahrenhit1}° Fahrenhit')" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "700.0° Celsius is 6682.0° Fahrenhit\n" + ] + } + ], + "source": [ + "#VERSION 2\n", + "degree_celsius = float(input(\"insert celsius degree\"))\n", + "degree_fahrenhit = round((degree_celsius * 9.5 + 32) , 2) \n", + "print(f'{degree_celsius}° Celsius is {degree_fahrenhit}° Fahrenhit')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BtsB8QKM9Xs_" + }, + "source": [ + "### Task 2 — Tiny Calculator\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "DSR8aS-F9Z10" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sum : a + b Equals 10\n", + "\n", + "difference : a - b = 4\n", + "\n", + "product : a * b = 21\n", + "\n", + "division : a / b = 2.33\n", + "\n", + "f_division : a // b = 2\n", + "\n" + ] + } + ], + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "# TODO: your code here\n", + "a , b = 7 , 3\n", + "summ = a + b\n", + "difference = a - b \n", + "product = a * b\n", + "division = round((a / b) , 2)\n", + "floor_division = a // b\n", + "print(f'Sum : a + b Equals {summ}\\n' )\n", + "print(f'difference : a - b = {difference}\\n')\n", + "print(f'product : a * b = {product}\\n')\n", + "print(f'division : a / b = {division}\\n')\n", + "print(f'f_division : a // b = {floor_division}\\n')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8JjHX4wy9dPz" + }, + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wRyJyhbt9uUr" + }, + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "1J4jcLct9yVO" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " immutable_basket is : ('d ', ' 4 ', ' kll ', ' 56') \n", + "The third item is : kll \n" + ] + } + ], + "source": [ + "# Start with an empty shopping list (list).\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "# 3. Print the third item using tuple indexing.\n", + "# TODO: your code here\n", + "\n", + "# WITH append()\n", + "mylist = []\n", + "\n", + "user_input = input(\"Enter at least 4 items (comma-separated): \")\n", + "items = user_input.strip().split(\",\")\n", + "\n", + "if len(items) >= 4 : \n", + " for i in items : \n", + " mylist.append(i)\n", + "else :\n", + " print(\"pls insert more than 4 items or 3 coma\")\n", + "\n", + "immutable_basket = tuple(mylist)\n", + "\n", + "print(f' immutable_basket is : {immutable_basket} ')\n", + "print(f\"The third item is : {immutable_basket[2] }\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "('1', '2', '3', '4', '5')\n", + "The third item is: 3\n" + ] + } + ], + "source": [ + "# with extend & comphernsion list\n", + "mylist = []\n", + "user_input = input(\"Enter at least 4 items (comma-separated): \")\n", + "items = [item.strip() for item in user_input.split(\",\")]\n", + "\n", + "if len(items) >= 4:\n", + " mylist.extend(items)\n", + "else:\n", + " print(\"Please enter at least 4 items.\")\n", + " exit()\n", + "\n", + "immutable_basket = tuple(mylist)\n", + "\n", + "print(immutable_basket)\n", + "print(f\"The third item is: {immutable_basket[2]}\")\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "byKd8SFK9w2y" + }, + "source": [ + "### Task 2 — Word Stats" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "id": "4rLrxkPj90p3" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mylist is : ['to', 'be', 'or', 'not', 'to', 'be', 'that', 'is', 'the', 'question']\n", + "\n", + "Unique words (set) : {'that', 'not', 'is', 'the', 'or', 'to', 'question', 'be'}\n", + "\n", + "Word counts (dict) : {'to': 2, 'be': 2, 'or': 1, 'not': 1, 'that': 1, 'is': 1, 'the': 1, 'question': 1} \n" + ] + } + ], + "source": [ + "\n", + "\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "# TODO: your code here\n", + " \n", + "sample = \"to be or not to be that is the question\"\n", + "\n", + "mylist = sample.split(\" \")\n", + "unique_words = set(mylist)\n", + "word_counts = {}\n", + "\n", + "for i in mylist:\n", + " if i in word_counts:\n", + " word_counts[i] += 1\n", + " else:\n", + " word_counts[i] = 1\n", + "\n", + "print(f'Mylist is : {mylist}\\n')\n", + "print(f\"Unique words (set) : {unique_words}\\n\")\n", + "print(f\"Word counts (dict) : {word_counts} \" )\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gbGMbtLf94M4" + }, + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QOsToPh2-AnZ" + }, + "source": [ + "### Task 1 — Prime Tester" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "id": "_pCU2mIH-DAi" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "list_add_aval in range 0-100 : [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97]\n", + "\n", + "tedad adad aval in range 0-100 = 25\n" + ] + } + ], + "source": [ + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " if n < 2 :\n", + " return False # print(f'{n} add aval nist!!')\n", + " \n", + " for i in range (2 , n) : # range (2 , n) >> 2 - n-1 \n", + " if n % i ==0 :\n", + " return False #print(f'{n} add aval nist!!')\n", + " \n", + " return True\n", + "\n", + "\n", + " # TODO: replace pass with your implementation\n", + " #pass\n", + "\n", + "\n", + "# Quick self-check\n", + "baze_mogasebat = 100\n", + "m = range(baze_mogasebat)\n", + "\n", + "list_add_aval = [x for x in m if is_prime(x)]\n", + "print(f\"list_add_aval in range 0-{baze_mogasebat} : {list_add_aval}\\n\")\n", + "\n", + "print(f'tedad adad aval in range 0-{baze_mogasebat} = {len(list_add_aval)}') # Expected: [2, 3, 5, 7]\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "TBGXIzVV-E5u" + }, + "source": [ + "### Task 2 — Repeater Greeter" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Alice\n", + "Bob Bob Bob\n" + ] + } + ], + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + " # TODO: your code here\n", + "\n", + " a = name.strip().capitalize()\n", + " a = (a+\" \") *times\n", + "\n", + " return a.strip() \n", + "\n", + "a = greet(\"alice\") # Alice\n", + "b = greet(\"bob\", times=3) # Bob Bob Bob\n", + "\n", + "print(a)\n", + "print(b)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "y7K-GaBC-ImE" + }, + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NgKjsy8A-N3l" + }, + "source": [ + "### Task 1 — Simple Counter" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": { + "id": "dPFvr_fe-OPR" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "100\n" + ] + } + ], + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " # TODO:\n", + " # 1. In __init__, store an internal count variable starting at 0.\n", + " # 2. Method increment(step: int = 1) adds `step` to the count.\n", + " # 3. Method value() returns the current count.\n", + "\n", + " def __init__(self):\n", + " self.count = 0\n", + " \n", + " def increment(self, step: int = 1):\n", + " self.count += step\n", + " \n", + " def value(self):\n", + " return self.count\n", + " \n", + "\n", + "c = Counter()\n", + "for _ in range(100):\n", + " c.increment()\n", + "\n", + "print(c.value()) # Expected: 5\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "U99aupan-Q8u" + }, + "source": [ + "### Task 2 — 2-D Point with Distance" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "id": "OVh3GEzH-T0w" + }, + "outputs": [], + "source": [ + "import math\n", + "\n", + "class Point:\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + " # TODO:\n", + " # 1. Store x and y as attributes.\n", + " # 2. Implement distance_to(other) using the Euclidean formula.\n", + "\n", + " def __init__(self, x: float, y: float):\n", + " self.x = x\n", + " self.y = y\n", + " \n", + " def distance_to(self, other):\n", + " dx = self.x - other.x\n", + " dy = self.y - other.y\n", + "\n", + " return math.sqrt(dx**2 + dy**2) \n", + " \n", + "\n", + "# Smoke test\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "assert round(p.distance_to(q), 1) == 5.0\n" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "11.7\n" + ] + } + ], + "source": [ + "m , n = Point( 10 , 6 ) , Point( 0 , 0)\n", + "print(round(m.distance_to(n), 1))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "DsAi", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.1/AI-DS_Nexus__A0_1_Project_roohi_268383.ipynb b/a0.1/a0.1/AI-DS_Nexus__A0_1_Project_roohi_268383.ipynb new file mode 100644 index 0000000..7e54e91 --- /dev/null +++ b/a0.1/a0.1/AI-DS_Nexus__A0_1_Project_roohi_268383.ipynb @@ -0,0 +1,577 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "ZS5lje_18xC2" + }, + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u5vvtK-6840I" + }, + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UyNHtkGm9OgH" + }, + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "lmaiboJe8E15" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "38.6° Celsius is 398.7° Fahrenhit\n" + ] + } + ], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "# TODO: your code here\n", + "\n", + "#VERSION 1\n", + "degree_celsius1 = '38.6'\n", + "degree_fahrenhit1 = round((float(degree_celsius1) * 9.5 + 32) , 1) \n", + "print(f'{degree_celsius1}° Celsius is {degree_fahrenhit1}° Fahrenhit')" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "700.0° Celsius is 6682.0° Fahrenhit\n" + ] + } + ], + "source": [ + "#VERSION 2\n", + "degree_celsius = float(input(\"insert celsius degree\"))\n", + "degree_fahrenhit = round((degree_celsius * 9.5 + 32) , 2) \n", + "print(f'{degree_celsius}° Celsius is {degree_fahrenhit}° Fahrenhit')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BtsB8QKM9Xs_" + }, + "source": [ + "### Task 2 — Tiny Calculator\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "DSR8aS-F9Z10" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sum : a + b Equals 10\n", + "\n", + "difference : a - b = 4\n", + "\n", + "product : a * b = 21\n", + "\n", + "division : a / b = 2.33\n", + "\n", + "f_division : a // b = 2\n", + "\n" + ] + } + ], + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "# TODO: your code here\n", + "a , b = 7 , 3\n", + "summ = a + b\n", + "difference = a - b \n", + "product = a * b\n", + "division = round((a / b) , 2)\n", + "floor_division = a // b\n", + "print(f'Sum : a + b Equals {summ}\\n' )\n", + "print(f'difference : a - b = {difference}\\n')\n", + "print(f'product : a * b = {product}\\n')\n", + "print(f'division : a / b = {division}\\n')\n", + "print(f'f_division : a // b = {floor_division}\\n')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8JjHX4wy9dPz" + }, + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wRyJyhbt9uUr" + }, + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "1J4jcLct9yVO" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " immutable_basket is : ('d ', ' 4 ', ' kll ', ' 56') \n", + "The third item is : kll \n" + ] + } + ], + "source": [ + "# Start with an empty shopping list (list).\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "# 3. Print the third item using tuple indexing.\n", + "# TODO: your code here\n", + "\n", + "# WITH append()\n", + "mylist = []\n", + "\n", + "user_input = input(\"Enter at least 4 items (comma-separated): \")\n", + "items = user_input.strip().split(\",\")\n", + "\n", + "if len(items) >= 4 : \n", + " for i in items : \n", + " mylist.append(i)\n", + "else :\n", + " print(\"pls insert more than 4 items or 3 coma\")\n", + "\n", + "immutable_basket = tuple(mylist)\n", + "\n", + "print(f' immutable_basket is : {immutable_basket} ')\n", + "print(f\"The third item is : {immutable_basket[2] }\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "('1', '2', '3', '4', '5')\n", + "The third item is: 3\n" + ] + } + ], + "source": [ + "# with extend & comphernsion list\n", + "mylist = []\n", + "user_input = input(\"Enter at least 4 items (comma-separated): \")\n", + "items = [item.strip() for item in user_input.split(\",\")]\n", + "\n", + "if len(items) >= 4:\n", + " mylist.extend(items)\n", + "else:\n", + " print(\"Please enter at least 4 items.\")\n", + " exit()\n", + "\n", + "immutable_basket = tuple(mylist)\n", + "\n", + "print(immutable_basket)\n", + "print(f\"The third item is: {immutable_basket[2]}\")\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "byKd8SFK9w2y" + }, + "source": [ + "### Task 2 — Word Stats" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "id": "4rLrxkPj90p3" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mylist is : ['to', 'be', 'or', 'not', 'to', 'be', 'that', 'is', 'the', 'question']\n", + "\n", + "Unique words (set) : {'that', 'not', 'is', 'the', 'or', 'to', 'question', 'be'}\n", + "\n", + "Word counts (dict) : {'to': 2, 'be': 2, 'or': 1, 'not': 1, 'that': 1, 'is': 1, 'the': 1, 'question': 1} \n" + ] + } + ], + "source": [ + "\n", + "\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "# TODO: your code here\n", + " \n", + "sample = \"to be or not to be that is the question\"\n", + "\n", + "mylist = sample.split(\" \")\n", + "unique_words = set(mylist)\n", + "word_counts = {}\n", + "\n", + "for i in mylist:\n", + " if i in word_counts:\n", + " word_counts[i] += 1\n", + " else:\n", + " word_counts[i] = 1\n", + "\n", + "print(f'Mylist is : {mylist}\\n')\n", + "print(f\"Unique words (set) : {unique_words}\\n\")\n", + "print(f\"Word counts (dict) : {word_counts} \" )\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gbGMbtLf94M4" + }, + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QOsToPh2-AnZ" + }, + "source": [ + "### Task 1 — Prime Tester" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "id": "_pCU2mIH-DAi" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "list_add_aval in range 0-100 : [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97]\n", + "\n", + "tedad adad aval in range 0-100 = 25\n" + ] + } + ], + "source": [ + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " if n < 2 :\n", + " return False # print(f'{n} add aval nist!!')\n", + " \n", + " for i in range (2 , n) : # range (2 , n) >> 2 - n-1 \n", + " if n % i ==0 :\n", + " return False #print(f'{n} add aval nist!!')\n", + " \n", + " return True\n", + "\n", + "\n", + " # TODO: replace pass with your implementation\n", + " #pass\n", + "\n", + "\n", + "# Quick self-check\n", + "baze_mogasebat = 100\n", + "m = range(baze_mogasebat)\n", + "\n", + "list_add_aval = [x for x in m if is_prime(x)]\n", + "print(f\"list_add_aval in range 0-{baze_mogasebat} : {list_add_aval}\\n\")\n", + "\n", + "print(f'tedad adad aval in range 0-{baze_mogasebat} = {len(list_add_aval)}') # Expected: [2, 3, 5, 7]\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "TBGXIzVV-E5u" + }, + "source": [ + "### Task 2 — Repeater Greeter" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Alice\n", + "Bob Bob Bob\n" + ] + } + ], + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + " # TODO: your code here\n", + "\n", + " a = name.strip().capitalize()\n", + " a = (a+\" \") *times\n", + "\n", + " return a.strip() \n", + "\n", + "a = greet(\"alice\") # Alice\n", + "b = greet(\"bob\", times=3) # Bob Bob Bob\n", + "\n", + "print(a)\n", + "print(b)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "y7K-GaBC-ImE" + }, + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NgKjsy8A-N3l" + }, + "source": [ + "### Task 1 — Simple Counter" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": { + "id": "dPFvr_fe-OPR" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "100\n" + ] + } + ], + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " # TODO:\n", + " # 1. In __init__, store an internal count variable starting at 0.\n", + " # 2. Method increment(step: int = 1) adds `step` to the count.\n", + " # 3. Method value() returns the current count.\n", + "\n", + " def __init__(self):\n", + " self.count = 0\n", + " \n", + " def increment(self, step: int = 1):\n", + " self.count += step\n", + " \n", + " def value(self):\n", + " return self.count\n", + " \n", + "\n", + "c = Counter()\n", + "for _ in range(100):\n", + " c.increment()\n", + "\n", + "print(c.value()) # Expected: 5\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "U99aupan-Q8u" + }, + "source": [ + "### Task 2 — 2-D Point with Distance" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "id": "OVh3GEzH-T0w" + }, + "outputs": [], + "source": [ + "import math\n", + "\n", + "class Point:\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + " # TODO:\n", + " # 1. Store x and y as attributes.\n", + " # 2. Implement distance_to(other) using the Euclidean formula.\n", + "\n", + " def __init__(self, x: float, y: float):\n", + " self.x = x\n", + " self.y = y\n", + " \n", + " def distance_to(self, other):\n", + " dx = self.x - other.x\n", + " dy = self.y - other.y\n", + "\n", + " return math.sqrt(dx**2 + dy**2) \n", + " \n", + "\n", + "# Smoke test\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "assert round(p.distance_to(q), 1) == 5.0\n" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "11.7\n" + ] + } + ], + "source": [ + "m , n = Point( 10 , 6 ) , Point( 0 , 0)\n", + "print(round(m.distance_to(n), 1))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "DsAi", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.1/AI-DS_Nexus__A0_1__MahyaTakbash.ipynb b/a0.1/a0.1/AI-DS_Nexus__A0_1__MahyaTakbash.ipynb new file mode 100644 index 0000000..36ead61 --- /dev/null +++ b/a0.1/a0.1/AI-DS_Nexus__A0_1__MahyaTakbash.ipynb @@ -0,0 +1,499 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ], + "metadata": { + "id": "ZS5lje_18xC2" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ], + "metadata": { + "id": "u5vvtK-6840I" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ], + "metadata": { + "id": "UyNHtkGm9OgH" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "lmaiboJe8E15", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "8755dc22-7f5a-40d9-a8f5-0fc4862a34f1" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "27.0 °C is equal to 80.6 °F\n" + ] + } + ], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "# TODO: your code here\n", + "celsius='27'\n", + "c=float(celsius)\n", + "f=c*9/5+32\n", + "print('%.1f °C is equal to %.1f °F' % (c,f))" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Tiny Calculator\n" + ], + "metadata": { + "id": "BtsB8QKM9Xs_" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "# TODO: your code here\n", + "a=20\n", + "b=36.9\n", + "print(a+b)\n", + "print(a-b)\n", + "print(a*b)\n", + "print(a/b)\n", + "print(a//b)" + ], + "metadata": { + "id": "DSR8aS-F9Z10", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "c34833af-f28e-4969-9825-e524bd040734" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "56.9\n", + "-16.9\n", + "738.0\n", + "0.5420054200542006\n", + "0.0\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ], + "metadata": { + "id": "8JjHX4wy9dPz" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ], + "metadata": { + "id": "wRyJyhbt9uUr" + } + }, + { + "cell_type": "code", + "source": [ + "# Start with an empty shopping list (list).\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "# 3. Print the third item using tuple indexing.\n", + "# TODO: your code here\n", + "shopping_list = []\n", + "items = input(\"Enter at least 4 items (comma-separated): \").split(',')\n", + "if len(items) >= 4:\n", + " shopping_list.extend(items)\n", + " immutable_basket = tuple(shopping_list)\n", + " print(immutable_basket[2])\n", + "else:\n", + " print(\"Please enter at least 4 items\")\n" + ], + "metadata": { + "id": "1J4jcLct9yVO", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 356 + }, + "outputId": "7f39f29a-4c0c-4971-d527-5973c52fc25b" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "error", + "ename": "KeyboardInterrupt", + "evalue": "Interrupted by user", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/tmp/ipython-input-1393279494.py\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;31m# TODO: your code here\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0mshopping_list\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 7\u001b[0;31m \u001b[0mitems\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0minput\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Enter at least 4 items (comma-separated): \"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msplit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m','\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 8\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mitems\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m>=\u001b[0m \u001b[0;36m4\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 9\u001b[0m \u001b[0mshopping_list\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mextend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mitems\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/usr/local/lib/python3.12/dist-packages/ipykernel/kernelbase.py\u001b[0m in \u001b[0;36mraw_input\u001b[0;34m(self, prompt)\u001b[0m\n\u001b[1;32m 1175\u001b[0m \u001b[0;34m\"raw_input was called, but this frontend does not support input requests.\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1176\u001b[0m )\n\u001b[0;32m-> 1177\u001b[0;31m return self._input_request(\n\u001b[0m\u001b[1;32m 1178\u001b[0m \u001b[0mstr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mprompt\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1179\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_parent_ident\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m\"shell\"\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/usr/local/lib/python3.12/dist-packages/ipykernel/kernelbase.py\u001b[0m in \u001b[0;36m_input_request\u001b[0;34m(self, prompt, ident, parent, password)\u001b[0m\n\u001b[1;32m 1217\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mKeyboardInterrupt\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1218\u001b[0m \u001b[0;31m# re-raise KeyboardInterrupt, to truncate traceback\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1219\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mKeyboardInterrupt\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Interrupted by user\"\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1220\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mException\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1221\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlog\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwarning\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Invalid Message:\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mexc_info\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mKeyboardInterrupt\u001b[0m: Interrupted by user" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Word Stats" + ], + "metadata": { + "id": "byKd8SFK9w2y" + } + }, + { + "cell_type": "code", + "source": [ + "sample = \"to be or not to be that is the question\"\n", + "\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "# TODO: your code here\n", + "text = \"to be or not to be that is the question\"\n", + "words = text.split()\n", + "unique_words = set(words)\n", + "word_counts = {}\n", + "for word in words:\n", + " word_counts[word] = word_counts.get(word, 0) + 1\n", + "print(unique_words)\n", + "print(word_counts)" + ], + "metadata": { + "id": "4rLrxkPj90p3", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "4d0417be-90bd-45ea-d74c-d71c23cd8db2" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "{'not', 'be', 'to', 'is', 'the', 'question', 'or', 'that'}\n", + "{'to': 2, 'be': 2, 'or': 1, 'not': 1, 'that': 1, 'is': 1, 'the': 1, 'question': 1}\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ], + "metadata": { + "id": "gbGMbtLf94M4" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Prime Tester" + ], + "metadata": { + "id": "QOsToPh2-AnZ" + } + }, + { + "cell_type": "code", + "source": [ + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " if n < 2:\n", + " return False\n", + "\n", + " for i in range(2, n):\n", + " if n % i == 0:\n", + " return False\n", + "\n", + " return True\n", + "\n", + "\n", + "# Quick self-check\n", + "print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n" + ], + "metadata": { + "id": "_pCU2mIH-DAi", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "23e4dbe0-ed01-4521-a90b-0a23a53f7344" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[2, 3, 5, 7]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Repeater Greeter" + ], + "metadata": { + "id": "TBGXIzVV-E5u" + } + }, + { + "cell_type": "code", + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + "\n", + " name = name.capitalize()\n", + "\n", + " for i in range(times):\n", + " print(name, end=\" \")\n", + "\n", + "\n", + "greet(\"alice\") # Alice\n", + "greet(\"bob\", times=3) # Bob Bob Bob\n", + "\n" + ], + "metadata": { + "id": "ycvsNyqh-GRM", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "242c73d5-7820-4806-babe-d86df1ff0400" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Alice Bob Bob Bob " + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ], + "metadata": { + "id": "y7K-GaBC-ImE" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Simple Counter" + ], + "metadata": { + "id": "NgKjsy8A-N3l" + } + }, + { + "cell_type": "code", + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " # TODO:\n", + " # 1. In __init__, store an internal count variable starting at 0.\n", + " # 2. Method increment(step: int = 1) adds `step` to the count.\n", + " # 3. Method value() returns the current count.\n", + "class Counter:\n", + " def __init__(self):\n", + " self.count = 0\n", + "\n", + " def increment(self, step: int = 1):\n", + " self.count += step\n", + "\n", + " def value(self):\n", + " return self.count\n", + "\n", + "\n", + "c = Counter()\n", + "for _ in range(5):\n", + " c.increment()\n", + "print(c.value()) # Expected: 5\n" + ], + "metadata": { + "id": "dPFvr_fe-OPR", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "7dc09719-b969-4d46-8a5f-4df4e18d47c8" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "5\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — 2-D Point with Distance" + ], + "metadata": { + "id": "U99aupan-Q8u" + } + }, + { + "cell_type": "code", + "source": [ + " import math\n", + "\n", + "class Point:\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + " # TODO:\n", + " # 1. Store x and y as attributes.\n", + " # 2. Implement distance_to(other) using the Euclidean formula.\n", + "import math\n", + "\n", + "class Point:\n", + " def __init__(self, x, y):\n", + " self.x = x\n", + " self.y = y\n", + "\n", + " def distance_to(self, other):\n", + " dx = self.x - other.x\n", + " dy = self.y - other.y\n", + " return math.sqrt(dx**2 + dy**2)\n", + "\n", + "# Smoke test\n", + "p = Point(3, 4)\n", + "q = Point(0, 0)\n", + "\n", + "print(p.distance_to(q))\n", + "assert round(p.distance_to(q), 1) == 5.0" + ], + "metadata": { + "id": "OVh3GEzH-T0w", + "outputId": "b3d69e8e-3ca2-499e-a813-617e8b211696", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "5.0\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.1/AI-DS_Nexus__A0_1__RezaShokr_1.ipynb b/a0.1/a0.1/AI-DS_Nexus__A0_1__RezaShokr_1.ipynb new file mode 100644 index 0000000..b51dc75 --- /dev/null +++ b/a0.1/a0.1/AI-DS_Nexus__A0_1__RezaShokr_1.ipynb @@ -0,0 +1,331 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ], + "metadata": { + "id": "ZS5lje_18xC2" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ], + "metadata": { + "id": "u5vvtK-6840I" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ], + "metadata": { + "id": "UyNHtkGm9OgH" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "lmaiboJe8E15" + }, + "outputs": [], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "# TODO: your code here\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Tiny Calculator\n" + ], + "metadata": { + "id": "BtsB8QKM9Xs_" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "# TODO: your code here\n" + ], + "metadata": { + "id": "DSR8aS-F9Z10" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ], + "metadata": { + "id": "8JjHX4wy9dPz" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ], + "metadata": { + "id": "wRyJyhbt9uUr" + } + }, + { + "cell_type": "code", + "source": [ + "# Start with an empty shopping list (list).\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "# 3. Print the third item using tuple indexing.\n", + "# TODO: your code here\n" + ], + "metadata": { + "id": "1J4jcLct9yVO" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Word Stats" + ], + "metadata": { + "id": "byKd8SFK9w2y" + } + }, + { + "cell_type": "code", + "source": [ + "sample = \"to be or not to be that is the question\"\n", + "\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "# TODO: your code here\n" + ], + "metadata": { + "id": "4rLrxkPj90p3" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ], + "metadata": { + "id": "gbGMbtLf94M4" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Prime Tester" + ], + "metadata": { + "id": "QOsToPh2-AnZ" + } + }, + { + "cell_type": "code", + "source": [ + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " # TODO: replace pass with your implementation\n", + " pass\n", + "\n", + "\n", + "# Quick self-check\n", + "print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n" + ], + "metadata": { + "id": "_pCU2mIH-DAi" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Repeater Greeter" + ], + "metadata": { + "id": "TBGXIzVV-E5u" + } + }, + { + "cell_type": "code", + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + " # TODO: your code here\n", + "\n", + "\n", + "greet(\"alice\") # Alice\n", + "greet(\"bob\", times=3) # Bob Bob Bob\n" + ], + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ], + "metadata": { + "id": "y7K-GaBC-ImE" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Simple Counter" + ], + "metadata": { + "id": "NgKjsy8A-N3l" + } + }, + { + "cell_type": "code", + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " # TODO:\n", + " # 1. In __init__, store an internal count variable starting at 0.\n", + " # 2. Method increment(step: int = 1) adds `step` to the count.\n", + " # 3. Method value() returns the current count.\n", + "\n", + "\n", + "c = Counter()\n", + "for _ in range(5):\n", + " c.increment()\n", + "print(c.value()) # Expected: 5\n" + ], + "metadata": { + "id": "dPFvr_fe-OPR" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — 2-D Point with Distance" + ], + "metadata": { + "id": "U99aupan-Q8u" + } + }, + { + "cell_type": "code", + "source": [ + "import math\n", + "\n", + "class Point:\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + " # TODO:\n", + " # 1. Store x and y as attributes.\n", + " # 2. Implement distance_to(other) using the Euclidean formula.\n", + "\n", + "\n", + "# Smoke test\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "assert round(p.distance_to(q), 1) == 5.0\n" + ], + "metadata": { + "id": "OVh3GEzH-T0w" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.1/AI-DS_Nexus__A0_1__aminran.ipynb b/a0.1/a0.1/AI-DS_Nexus__A0_1__aminran.ipynb new file mode 100644 index 0000000..0be9103 --- /dev/null +++ b/a0.1/a0.1/AI-DS_Nexus__A0_1__aminran.ipynb @@ -0,0 +1,481 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ], + "metadata": { + "id": "ZS5lje_18xC2" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ], + "metadata": { + "id": "u5vvtK-6840I" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ], + "metadata": { + "id": "UyNHtkGm9OgH" + } + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "lmaiboJe8E15", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "94476096-a3f3-41d0-a133-a4347f052cf0" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "temperature in Fahrenheit is: 68.0\n" + ] + } + ], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "# TODO: your code here\n", + "cel='20'\n", + "fah=(float(cel)*(9/5))+32\n", + "print(f\"temperature in Fahrenheit is: {fah}\")\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Tiny Calculator\n" + ], + "metadata": { + "id": "BtsB8QKM9Xs_" + } + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "n_jpRWKqoG22" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "# TODO: your code here\n", + "a=32\n", + "b=3.33\n", + "print(f\"sum is:{a+b}, difference is:{a-b}, true division is: {a/b}, floor division is: {a//b}\")" + ], + "metadata": { + "id": "DSR8aS-F9Z10", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "49f9879c-a114-44bf-d858-eca15e0b35fd" + }, + "execution_count": 3, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "sum is:35.33, difference is:28.67, true division is: 9.60960960960961, floor division is: 9.0\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ], + "metadata": { + "id": "8JjHX4wy9dPz" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ], + "metadata": { + "id": "wRyJyhbt9uUr" + } + }, + { + "cell_type": "code", + "source": [ + "# Start with an empty shopping list (list).\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "# 3. Print the third item using tuple indexing.\n", + "# TODO: your code here\n", + "shopping_lst=list()\n", + "shopping_lst.append('bread')\n", + "shopping_lst.append('meat')\n", + "shopping_lst.append('apple')\n", + "shopping_lst.append('milk')\n", + "immutable_basket=tuple(shopping_lst)\n", + "print(immutable_basket[2])" + ], + "metadata": { + "id": "1J4jcLct9yVO", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "e322d20d-0915-4f3a-a998-dd2143c66224" + }, + "execution_count": 6, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "apple\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Word Stats" + ], + "metadata": { + "id": "byKd8SFK9w2y" + } + }, + { + "cell_type": "code", + "source": [ + "sample = \"to be or not to be that is the question\"\n", + "\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "# TODO: your code here\n", + "sample = \"to be or not to be that is the question\"\n", + "\n", + "unique_words = set(sample.split())\n", + "\n", + "word_counts = {}\n", + "for word in sample.split():\n", + " word_counts[word] = word_counts.get(word, 0) + 1\n", + "\n", + "print(\"Unique words:\", unique_words)\n", + "print(\"Word counts:\", word_counts)\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "4rLrxkPj90p3", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "463e32bc-acf0-4c84-e5c3-68a7c359b750" + }, + "execution_count": 1, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Unique words: {'or', 'question', 'to', 'the', 'that', 'not', 'be', 'is'}\n", + "Word counts: {'to': 2, 'be': 2, 'or': 1, 'not': 1, 'that': 1, 'is': 1, 'the': 1, 'question': 1}\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ], + "metadata": { + "id": "gbGMbtLf94M4" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Prime Tester" + ], + "metadata": { + "id": "QOsToPh2-AnZ" + } + }, + { + "cell_type": "code", + "source": [ + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " # TODO: replace pass with your implementation\n", + " m=n\n", + " if n==0 or n==1:\n", + " return False\n", + " if n>=2:\n", + "\n", + " while m >=2 :\n", + " m=m-1\n", + " if m>1 and n%m == 0:\n", + " return False\n", + " return True\n", + "\n", + "\n", + "\n", + "# Quick self-check\n", + "print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n" + ], + "metadata": { + "id": "_pCU2mIH-DAi", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "85f08ee2-1e4b-4f5a-965d-d4004767272e" + }, + "execution_count": 1, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[2, 3, 5, 7]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Repeater Greeter" + ], + "metadata": { + "id": "TBGXIzVV-E5u" + } + }, + { + "cell_type": "code", + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + " # TODO: your code here\n", + " print((name.capitalize()+' ')*times)\n", + "\n", + "greet(\"alice\") # Alice\n", + "greet(\"bob\", times=3) # Bob Bob Bob\n" + ], + "metadata": { + "id": "ycvsNyqh-GRM", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "a9b64518-c250-445f-89ba-6c30dc9c02df" + }, + "execution_count": 3, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Alice \n", + "Bob Bob Bob \n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ], + "metadata": { + "id": "y7K-GaBC-ImE" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Simple Counter" + ], + "metadata": { + "id": "NgKjsy8A-N3l" + } + }, + { + "cell_type": "code", + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " # TODO:\n", + " # 1. In __init__, store an internal count variable starting at 0.\n", + " # 2. Method increment(step: int = 1) adds `step` to the count.\n", + " # 3. Method value() returns the current count.\n", + " def __init__(self):\n", + " self.count=0\n", + "\n", + " def increment(self, step=1):\n", + " self.count+=step\n", + "\n", + " def value(self):\n", + " return self.count\n", + "\n", + "c = Counter()\n", + "for _ in range(5):\n", + " c.increment()\n", + "print(c.value()) # Expected: 5\n" + ], + "metadata": { + "id": "dPFvr_fe-OPR", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "0a74f4f1-678d-4fb8-c045-a72ca3b1cfe3" + }, + "execution_count": 6, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "5\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — 2-D Point with Distance" + ], + "metadata": { + "id": "U99aupan-Q8u" + } + }, + { + "cell_type": "code", + "source": [ + "import math\n", + "\n", + "class Point:\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + " # TODO:\n", + " # 1. Store x and y as attributes.\n", + " # 2. Implement distance_to(other) using the Euclidean formula.\n", + " def __init__(self, x, y):\n", + " self.x=x\n", + " self.y=y\n", + "\n", + " def distance_to(self, other):\n", + " dx=self.x-other.x\n", + " dy=self.y-other.y\n", + " return math.sqrt(dx**2+dy**2)\n", + "\n", + "# Smoke test\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "print(p.distance_to(q))\n", + "assert round(p.distance_to(q), 1) == 5.0\n" + ], + "metadata": { + "id": "OVh3GEzH-T0w", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "3ef44cb6-2aa0-41fd-df43-6683cd317ef8" + }, + "execution_count": 2, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "5.0\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.1/AI-DS_Nexus__A0_1__rsayyareh.ipynb b/a0.1/a0.1/AI-DS_Nexus__A0_1__rsayyareh.ipynb new file mode 100644 index 0000000..50e4a3c --- /dev/null +++ b/a0.1/a0.1/AI-DS_Nexus__A0_1__rsayyareh.ipynb @@ -0,0 +1,468 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "ZS5lje_18xC2" + }, + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u5vvtK-6840I" + }, + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UyNHtkGm9OgH" + }, + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "id": "lmaiboJe8E15" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "62.611111111111114\n" + ] + } + ], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "# TODO: your code here\n", + "tct = '55.1'\n", + "tcf = float(tct)\n", + "tff = tcf * 5/9 + 32\n", + "print(tff)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BtsB8QKM9Xs_" + }, + "source": [ + "### Task 2 — Tiny Calculator\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "id": "DSR8aS-F9Z10" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "sum = 14.1\n", + "difference = 1.9000000000000004\n", + "product = 48.8\n", + "true division = 1.3114754098360657\n", + "floor division = 1.0\n" + ] + } + ], + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "# TODO: your code here\n", + "ai = 8\n", + "af = 6.1\n", + "print('sum = ', ai + af)\n", + "print('difference = ', ai - af)\n", + "print('product = ', ai * af)\n", + "print('true division = ', ai / af)\n", + "print('floor division = ', ai // af)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8JjHX4wy9dPz" + }, + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wRyJyhbt9uUr" + }, + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "id": "1J4jcLct9yVO" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['breed', ' r', ' y', ' u']\n", + " y\n" + ] + } + ], + "source": [ + "# Start with an empty shopping list (list).\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "# 3. Print the third item using tuple indexing.\n", + "# TODO: your code here\n", + "lst = []\n", + "lst = input('shopping items: ').split(',')\n", + "print(lst)\n", + "tpl = tuple(lst)\n", + "print(tpl[2])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "byKd8SFK9w2y" + }, + "source": [ + "### Task 2 — Word Stats" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "4rLrxkPj90p3" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['to', 'be', 'or', 'not', 'to', 'be', 'that', 'is', 'the', 'question']\n", + "['be', 'is', 'not', 'or', 'question', 'that', 'the', 'to']\n", + "[2, 1, 1, 1, 1, 1, 1, 2]\n", + "{'be': 2, 'is': 1, 'not': 1, 'or': 1, 'question': 1, 'that': 1, 'the': 1, 'to': 2}\n" + ] + } + ], + "source": [ + "sample = \"to be or not to be that is the question\"\n", + "\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "# TODO: your code here\n", + "uw1 = []\n", + "uw1 = sample.split()\n", + "uw2 = list(set(uw1))\n", + "uw2.sort()\n", + "repeats=[]\n", + "for element in uw2:\n", + " count=uw1.count(element)\n", + " repeats.append(count)\n", + "uwd = {}\n", + "for i in range(len(repeats)):\n", + " uwd[uw2[i]] = repeats[i]\n", + "print(uw1)\n", + "print(uw2)\n", + "print(repeats)\n", + "print(uwd)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gbGMbtLf94M4" + }, + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QOsToPh2-AnZ" + }, + "source": [ + "### Task 1 — Prime Tester" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "_pCU2mIH-DAi" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2, 3, 5, 7]\n" + ] + } + ], + "source": [ + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " # TODO: replace pass with your implementation\n", + " return isprime(n)\n", + " \n", + "# Quick self-check\n", + "from sympy import *\n", + "print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "TBGXIzVV-E5u" + }, + "source": [ + "### Task 2 — Repeater Greeter" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Alice\n", + "Bob Bob Bob\n" + ] + } + ], + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + " # TODO: your code here\n", + " nam = []\n", + " for i in range(times):\n", + " nam.append(name.capitalize())\n", + " print(*nam)\n", + "\n", + "\n", + "greet(\"alice\") # Alice\n", + "greet(\"bob\", times=3) # Bob Bob Bob\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "y7K-GaBC-ImE" + }, + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NgKjsy8A-N3l" + }, + "source": [ + "### Task 1 — Simple Counter" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "dPFvr_fe-OPR" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "5\n" + ] + } + ], + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " # TODO:\n", + " # 1. In __init__, store an internal count variable starting at 0.\n", + " # 2. Method increment(step: int = 1) adds `step` to the count.\n", + " # 3. Method value() returns the current count.\n", + " def __init__(self):\n", + " self.count = 0\n", + " self.step = 1\n", + "\n", + " def increment(self, i):\n", + " self.count +=1\n", + " \n", + " def value(self):\n", + " value = self.count\n", + " return value\n", + " \n", + "\n", + "c = Counter()\n", + "for i in range(5):\n", + " c.increment(i)\n", + "print(c.value()) # Expected: 5\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "U99aupan-Q8u" + }, + "source": [ + "### Task 2 — 2-D Point with Distance" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "OVh3GEzH-T0w" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "5.0\n" + ] + } + ], + "source": [ + "import math\n", + "\n", + "class Point:\n", + " def __init__(self, x, y):\n", + " self.x = x\n", + " self.y = y\n", + "\n", + " def distance_to(self, q):\n", + " distance = math.sqrt((self.x - q.x)**2 + (self.y - q.y)**2)\n", + " return distance\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + " # TODO:\n", + " # 1. Store x and y as attributes.\n", + " # 2. Implement distance_to(other) using the Euclidean formula.\n", + "\n", + "\n", + "# Smoke test\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "print(p.distance_to(q))\n", + "# assert round(p.distance_to(q), 1) == 5.0\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.7" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.1/AI-DS_Nexus__A0_1__sadragh23.ipynb b/a0.1/a0.1/AI-DS_Nexus__A0_1__sadragh23.ipynb new file mode 100644 index 0000000..a149110 --- /dev/null +++ b/a0.1/a0.1/AI-DS_Nexus__A0_1__sadragh23.ipynb @@ -0,0 +1,476 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "ZS5lje_18xC2" + }, + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u5vvtK-6840I" + }, + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UyNHtkGm9OgH" + }, + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "lmaiboJe8E15" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "25.0 °C is equal to 77.0 °F\n" + ] + } + ], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "# TODO: your code here\n", + "celsius_str = '25'\n", + "celsius = float(celsius_str)\n", + "fahrenheit = celsius * 9/5 + 32\n", + "print(f\"{celsius} °C is equal to {fahrenheit} °F\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BtsB8QKM9Xs_" + }, + "source": [ + "### Task 2 — Tiny Calculator\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "DSR8aS-F9Z10" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "sum: 8.2\n", + "difference: 1.7999999999999998\n", + "product: 16.0\n", + "True division: 1.5625\n", + "floor deivision: 1.0\n" + ] + } + ], + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "# TODO: your code here\n", + "num_int = 5\n", + "num_float = 3.2\n", + "print(\"sum: \",num_int + num_float)\n", + "print(\"difference: \", num_int - num_float)\n", + "print(\"product: \", num_float * num_int)\n", + "print(\"True division: \", num_int / num_float)\n", + "print('floor deivision: ', num_int // num_float)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8JjHX4wy9dPz" + }, + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wRyJyhbt9uUr" + }, + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "1J4jcLct9yVO" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['a', 's', 'd', 'f']\n", + "d\n" + ] + } + ], + "source": [ + "# Start with an empty shopping list (list).\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "# 3. Print the third item using tuple indexing.\n", + "# TODO: your code here\n", + "shopping_list = []\n", + "\n", + "items = input('Please Enter Your Items: ')\n", + "\n", + "if ',' in items:\n", + " shopping_list.extend(items.split(','))\n", + "else:\n", + " print('please split your items with comma (,) and try again')\n", + "\n", + "print(shopping_list)\n", + "immutable_basket = tuple(shopping_list)\n", + "print(immutable_basket[2])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "byKd8SFK9w2y" + }, + "source": [ + "### Task 2 — Word Stats" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "4rLrxkPj90p3" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'question', 'that', 'is', 'to', 'be', 'or', 'not', 'the'}\n", + "{'to': 2, 'be': 2, 'or': 1, 'not': 1, 'that': 1, 'is': 1, 'the': 1, 'question': 1}\n" + ] + } + ], + "source": [ + "sample = \"to be or not to be that is the question\"\n", + "\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "# TODO: your code here\n", + "uniq_words = set(sample.split())\n", + "\n", + "word_counts = {}\n", + "for word in sample.split():\n", + " if word in word_counts:\n", + " word_counts[word] += 1\n", + " else:\n", + " word_counts[word] = 1\n", + "\n", + "print(uniq_words)\n", + "print(word_counts)\n", + "\n", + "# the different is that a set stores only uniqe values\n", + "# whil a dictionary stores key-value pairs" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gbGMbtLf94M4" + }, + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QOsToPh2-AnZ" + }, + "source": [ + "### Task 1 — Prime Tester" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "id": "_pCU2mIH-DAi" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2, 3, 5, 7]\n" + ] + } + ], + "source": [ + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " # TODO: replace pass with your implementation\n", + " if n <= 1:\n", + " return False\n", + " for i in range(2, n):\n", + " if n % i == 0:\n", + " return False\n", + " return True\n", + "\n", + "\n", + "# Quick self-check\n", + "print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "TBGXIzVV-E5u" + }, + "source": [ + "### Task 2 — Repeater Greeter" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Alice\n", + "Bob Bob Bob\n" + ] + } + ], + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + " # TODO: your code here\n", + " name_capital = name.capitalize()\n", + "\n", + " print(' '.join([name_capital] * times))\n", + "\n", + "\n", + "\n", + "\n", + "greet(\"alice\") # Alice\n", + "greet(\"bob\", times=3) # Bob Bob Bob\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "y7K-GaBC-ImE" + }, + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NgKjsy8A-N3l" + }, + "source": [ + "### Task 1 — Simple Counter" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "id": "dPFvr_fe-OPR" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "5\n" + ] + } + ], + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " # TODO:\n", + " # 1. In __init__, store an internal count variable starting at 0.\n", + " # 2. Method increment(step: int = 1) adds `step` to the count.\n", + " # 3. Method value() returns the current count.\n", + " def __init__(self):\n", + " self.count = 0\n", + "\n", + " def increment(self, step: int = 1):\n", + " self.count += 1\n", + "\n", + " def value(self):\n", + " return self.count\n", + " \n", + "\n", + "c = Counter()\n", + "for _ in range(5):\n", + " c.increment()\n", + "print(c.value()) # Expected: 5\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "U99aupan-Q8u" + }, + "source": [ + "### Task 2 — 2-D Point with Distance" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "id": "OVh3GEzH-T0w" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "5.0\n" + ] + } + ], + "source": [ + "import math\n", + "\n", + "class Point:\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + " # TODO:\n", + " # 1. Store x and y as attributes.\n", + " # 2. Implement distance_to(other) using the Euclidean formula.\n", + " def __init__(self, x: float, y: float):\n", + " self.x = x\n", + " self.y = y\n", + " \n", + " def distance_to(self, other):\n", + " dx = self.x - other.x\n", + " dy = self.y - other.y\n", + " dis = math.sqrt(dx**2 + dy**2)\n", + " print(dis)\n", + " return dis\n", + "\n", + "# Smoke test\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "assert round(p.distance_to(q), 1) == 5.0\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "py313", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.5" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.1/AI-DS_Nexus__A0_1_amirhosseinaref_a1a481.ipynb b/a0.1/a0.1/AI-DS_Nexus__A0_1_amirhosseinaref_a1a481.ipynb new file mode 100644 index 0000000..2a17a04 --- /dev/null +++ b/a0.1/a0.1/AI-DS_Nexus__A0_1_amirhosseinaref_a1a481.ipynb @@ -0,0 +1 @@ +{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[]},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"markdown","source":["# 📚 Assignment 1 — Python Fundamentals\n","\n","

    📢⚠️📂

    \n","\n","

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n","\n","

    🚨📝🧠

    \n","\n","------------------------------------------------\n","Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n","\n","1. Variable types\n","\n","2. Core containers\n","\n","3. Functions\n","\n","4. Classes\n","\n","Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊"],"metadata":{"id":"ZS5lje_18xC2"}},{"cell_type":"markdown","source":["## 1. Variable Types 🧮\n","**Quick-start notes**\n","\n","* Primitive types: `int`, `float`, `str`, `bool`\n","\n","* Use `type(obj)` to inspect an object’s type.\n","\n","* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc."],"metadata":{"id":"u5vvtK-6840I"}},{"cell_type":"markdown","source":["### Task 1 — Celsius → Fahrenheit\n","\n"],"metadata":{"id":"UyNHtkGm9OgH"}},{"cell_type":"code","execution_count":1,"metadata":{"id":"lmaiboJe8E15","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1759666241452,"user_tz":-210,"elapsed":6915,"user":{"displayName":"Amirhossein J.Aref","userId":"04604698280838323371"}},"outputId":"22b26c74-6c4c-4a6d-913c-3beb0e28a088"},"outputs":[{"output_type":"stream","name":"stdout","text":["Enter temperature in Celsius: 25\n","25.0 Celsius is equal to 77.0 Fahrenheit\n"]}],"source":["# 👉 a Celsius temperature (as text), convert it to float,\n","# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n","# TODO: your code here\n","degree = float(input(\"Enter temperature in Celsius: \"))\n","fahrenheit = degree * 9/5 + 32\n","print (f'{degree} Celsius is equal to {fahrenheit} Fahrenheit')"]},{"cell_type":"markdown","source":["### Task 2 — Tiny Calculator\n"],"metadata":{"id":"BtsB8QKM9Xs_"}},{"cell_type":"code","source":["# 👉 Store two numbers of **different types** (one int, one float),\n","# then print their sum, difference, product, true division, and floor division.\n","# TODO: your code here\n","x = 2\n","y = 3.5\n","print(\"Sum: \" , x + y)\n","print(\"Difference: \" , x - y)\n","print(\"Product: \" , x * y)\n","print(\"True Division: \" , x / y)\n","print(\"Floor Division: \" , x // y)\n","\n"],"metadata":{"id":"DSR8aS-F9Z10","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1759666376837,"user_tz":-210,"elapsed":365,"user":{"displayName":"Amirhossein J.Aref","userId":"04604698280838323371"}},"outputId":"60325323-1192-4d7d-98d3-8ad68a5ed6a4"},"execution_count":2,"outputs":[{"output_type":"stream","name":"stdout","text":["Sum: 5.5\n","Difference: -1.5\n","Product: 7.0\n","True Division: 0.5714285714285714\n","Floor Division: 0.0\n"]}]},{"cell_type":"markdown","source":["## 2. Containers 📦 (list, tuple, set, dict)\n","**Quick-start notes**\n","\n","| Container | Mutable? | Ordered? | Typical use |\n","| --------- | -------- | ----------------------------- | --------------------------------- |\n","| `list` | ✔ | ✔ | Growth, indexing, slicing |\n","| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n","| `set` | ✔ | ✖ | Deduplication, membership tests |\n","| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n"],"metadata":{"id":"8JjHX4wy9dPz"}},{"cell_type":"markdown","source":["### Task 1 — Grocery Basket\n","\n"],"metadata":{"id":"wRyJyhbt9uUr"}},{"cell_type":"code","source":["# Start with an empty shopping list (list).\n","# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n","# 2. Convert the list to a *tuple* called immutable_basket.\n","# 3. Print the third item using tuple indexing.\n","# TODO: your code here\n","shopping_list = []\n","shopping_list.extend([\"Milk\", \"Bread\", \"Apple\", \"Orange\"])\n","immutable_basket = tuple(shopping_list)\n","print(immutable_basket[2])\n"],"metadata":{"id":"1J4jcLct9yVO","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1759666472242,"user_tz":-210,"elapsed":351,"user":{"displayName":"Amirhossein J.Aref","userId":"04604698280838323371"}},"outputId":"c736a7a6-2126-44fd-f670-ecb6b46a54c1"},"execution_count":3,"outputs":[{"output_type":"stream","name":"stdout","text":["Apple\n"]}]},{"cell_type":"markdown","source":["### Task 2 — Word Stats"],"metadata":{"id":"byKd8SFK9w2y"}},{"cell_type":"code","source":["sample = \"to be or not to be that is the question\"\n","\n","# 1. Build a set `unique_words` containing every distinct word.\n","# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n","# (Hint: .split() + a simple loop)\n","# 3. Print the two structures and explain (in a comment) their main difference.\n","# TODO: your code here\n","words = sample.split()\n","unique_words = set(words)\n","word_counts = {}\n","for word in words:\n"," if word in word_counts:\n"," word_counts[word] += 1\n"," else:\n"," word_counts[word] = 1\n","print (\"unique words:\", unique_words)\n","print (\"word counts:\", word_counts)"],"metadata":{"id":"4rLrxkPj90p3","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1759666512188,"user_tz":-210,"elapsed":338,"user":{"displayName":"Amirhossein J.Aref","userId":"04604698280838323371"}},"outputId":"d359f09a-bfe6-4db1-e45f-7403f88744a2"},"execution_count":4,"outputs":[{"output_type":"stream","name":"stdout","text":["unique words: {'question', 'be', 'the', 'that', 'is', 'to', 'or', 'not'}\n","word counts: {'to': 2, 'be': 2, 'or': 1, 'not': 1, 'that': 1, 'is': 1, 'the': 1, 'question': 1}\n"]}]},{"cell_type":"markdown","source":["## 3. Functions 🔧\n","**Quick-start notes**\n","\n","* Define with `def`, return with `return`.\n","\n","* Parameters can have default values.\n","\n","* Docstrings (`\"\"\" … \"\"\"`) document behaviour."],"metadata":{"id":"gbGMbtLf94M4"}},{"cell_type":"markdown","source":["### Task 1 — Prime Tester"],"metadata":{"id":"QOsToPh2-AnZ"}},{"cell_type":"code","source":["def is_prime(n: int) -> bool:\n"," if n < 2:\n"," return False\n"," for i in range(2, int(n**0.5) + 1):\n"," if n % i == 0:\n"," return False\n"," return True\n","\n","\n","\n","# Quick self-check\n","print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n"],"metadata":{"id":"_pCU2mIH-DAi","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1759666582577,"user_tz":-210,"elapsed":313,"user":{"displayName":"Amirhossein J.Aref","userId":"04604698280838323371"}},"outputId":"4cb7f16d-7ea7-4d46-e04c-f1de5a990073"},"execution_count":5,"outputs":[{"output_type":"stream","name":"stdout","text":["[2, 3, 5, 7]\n"]}]},{"cell_type":"markdown","source":["### Task 2 — Repeater Greeter"],"metadata":{"id":"TBGXIzVV-E5u"}},{"cell_type":"code","source":["def greet(name: str, times: int = 1) -> None:\n"," capitalaized_name = name.capitalize()\n"," print(\" \".join([capitalaized_name] * times))\n","\n","greet(\"alice\") # Alice\n","greet(\"bob\", times=3) # Bob Bob Bob"],"metadata":{"id":"ycvsNyqh-GRM","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1759666610676,"user_tz":-210,"elapsed":344,"user":{"displayName":"Amirhossein J.Aref","userId":"04604698280838323371"}},"outputId":"9c8ab8af-1632-4757-d130-17b9d41154a6"},"execution_count":6,"outputs":[{"output_type":"stream","name":"stdout","text":["Alice\n","Bob Bob Bob\n"]}]},{"cell_type":"markdown","source":["## 4. Classes 🏗️\n","**Quick-start notes**\n","\n","* Create with class Name:\n","\n","* Special method __init__ runs on construction.\n","\n","* self refers to the instance; attributes live on self."],"metadata":{"id":"y7K-GaBC-ImE"}},{"cell_type":"markdown","source":["### Task 1 — Simple Counter"],"metadata":{"id":"NgKjsy8A-N3l"}},{"cell_type":"code","source":["class Counter:\n"," def __init__(self):\n"," self.count = 0\n"," def increment(self, step: int = 1 ):\n"," self.count += step\n"," def value(self):\n"," return self.count\n"," \"\"\"Counts how many times `increment` is called.\"\"\"\n"," # TODO:\n"," # 1. In __init__, store an internal count variable starting at 0.\n"," # 2. Method increment(step: int = 1) adds `step` to the count.\n"," # 3. Method value() returns the current count.\n","\n","\n","c = Counter()\n","for _ in range(5):\n"," c.increment()\n","print(c.value()) # Expected: 5"],"metadata":{"id":"dPFvr_fe-OPR","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1759666652036,"user_tz":-210,"elapsed":10,"user":{"displayName":"Amirhossein J.Aref","userId":"04604698280838323371"}},"outputId":"2cbc69f2-06db-414f-fb6a-759c2fd7d643"},"execution_count":7,"outputs":[{"output_type":"stream","name":"stdout","text":["5\n"]}]},{"cell_type":"markdown","source":["### Task 2 — 2-D Point with Distance"],"metadata":{"id":"U99aupan-Q8u"}},{"cell_type":"code","source":["import math\n","\n","class Point:\n"," def __init__(self, x, y):\n"," self.x = x\n"," self.y = y\n"," def distance_to(self, other):\n"," return math.sqrt((self.x - other.x)**2 + (self.y - other.y)**2)\n","\n","# Smoke test\n","p, q = Point(3, 4), Point(0, 0)\n","assert round(p.distance_to(q), 1) == 5.0\n","print(\"test passed! Distance: \", p.distance_to(q))\n"],"metadata":{"id":"OVh3GEzH-T0w","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1759666679571,"user_tz":-210,"elapsed":344,"user":{"displayName":"Amirhossein J.Aref","userId":"04604698280838323371"}},"outputId":"a6674f45-917f-4c2b-d52a-f69682a41eb4"},"execution_count":8,"outputs":[{"output_type":"stream","name":"stdout","text":["test passed! Distance: 5.0\n"]}]}]} \ No newline at end of file diff --git a/a0.1/a0.1/AI-DS_Nexus__A0_1_itsalikabiri_ff9265.ipynb b/a0.1/a0.1/AI-DS_Nexus__A0_1_itsalikabiri_ff9265.ipynb new file mode 100644 index 0000000..7ce54b5 --- /dev/null +++ b/a0.1/a0.1/AI-DS_Nexus__A0_1_itsalikabiri_ff9265.ipynb @@ -0,0 +1,477 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "ZS5lje_18xC2" + }, + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u5vvtK-6840I" + }, + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UyNHtkGm9OgH" + }, + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "lmaiboJe8E15" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "86.0\n" + ] + } + ], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "# TODO: your code here\n", + "x = \"30\"\n", + "C = float(x)\n", + "F = (C * 9/5) + 32\n", + "print(F)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BtsB8QKM9Xs_" + }, + "source": [ + "### Task 2 — Tiny Calculator\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "DSR8aS-F9Z10" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "25.3\n", + "-5.300000000000001\n", + "5.300000000000001\n", + "153.0\n", + "0.6535947712418301\n", + "0.0\n", + "1.53\n", + "1.0\n" + ] + } + ], + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "# TODO: your code here\n", + "a = 10\n", + "b = 15.3\n", + "print(a + b)\n", + "print(a - b)\n", + "print(b - a)\n", + "print(a * b)\n", + "print(a / b)\n", + "print(a // b)\n", + "print(b / a)\n", + "print(b // a)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8JjHX4wy9dPz" + }, + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wRyJyhbt9uUr" + }, + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "1J4jcLct9yVO" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "banana\n" + ] + } + ], + "source": [ + "# Start with an empty shopping list (list).\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "# 3. Print the third item using tuple indexing.\n", + "# TODO: your code here\n", + "a = [\"apple\", \"cheese\", \"banana\", \"peach\"]\n", + "immutable_basket = tuple(a)\n", + "print(immutable_basket[2])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "byKd8SFK9w2y" + }, + "source": [ + "### Task 2 — Word Stats" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "4rLrxkPj90p3" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'or', 'be', 'is', 'question', 'that', 'the', 'not', 'to'}\n", + "{'to': 2, 'be': 2, 'or': 1, 'not': 1, 'that': 1, 'is': 1, 'the': 1, 'question': 1}\n" + ] + } + ], + "source": [ + "sample = \"to be or not to be that is the question\"\n", + "\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "# TODO: your code here\n", + "unique_words = set(sample.split())\n", + "print(unique_words)\n", + "word_counts = {}\n", + "for word in sample.split():\n", + " if word in word_counts:\n", + " word_counts[word] += 1\n", + " else:\n", + " word_counts[word] = 1\n", + "print(word_counts)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gbGMbtLf94M4" + }, + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QOsToPh2-AnZ" + }, + "source": [ + "### Task 1 — Prime Tester" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "id": "_pCU2mIH-DAi" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 False\n", + "1 False\n", + "2 True\n", + "3 True\n", + "4 False\n", + "5 True\n", + "6 False\n", + "7 True\n", + "8 False\n", + "9 False\n", + "[2, 3, 5, 7]\n" + ] + } + ], + "source": [ + "import math\n", + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " # TODO: replace pass with your implementation\n", + " pass\n", + " if n < 2:\n", + " return False\n", + " elif n == 2:\n", + " return True\n", + " else:\n", + " for i in range(2, int(math.sqrt(n))+1):\n", + " if n % i == 0:\n", + " return False\n", + " return True\n", + "for n in range(10):\n", + " print(n, is_prime(n))\n", + "\n", + "\n", + "# Quick self-check\n", + "print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "TBGXIzVV-E5u" + }, + "source": [ + "### Task 2 — Repeater Greeter" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Alice\n", + "Bob Bob Bob\n" + ] + } + ], + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + " # TODO: your code here\n", + " print(\" \".join([name.capitalize()] * times))\n", + "\n", + "greet(\"alice\") # Alice\n", + "greet(\"bob\", times=3) # Bob Bob Bob\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "y7K-GaBC-ImE" + }, + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NgKjsy8A-N3l" + }, + "source": [ + "### Task 1 — Simple Counter" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "id": "dPFvr_fe-OPR" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "5\n" + ] + } + ], + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " # TODO:\n", + " # 1. In __init__, store an internal count variable starting at 0.\n", + " # 2. Method increment(step: int = 1) adds `step` to the count.\n", + " # 3. Method value() returns the current count.\n", + " def __init__(self):\n", + " self._count = 0\n", + "\n", + " def increment(self, step: int = 1) -> None:\n", + " self._count += step\n", + "\n", + " def value(self) -> int:\n", + " return self._count\n", + "\n", + "\n", + "c = Counter()\n", + "for _ in range(5):\n", + " c.increment()\n", + "print(c.value()) # Expected: 5\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "U99aupan-Q8u" + }, + "source": [ + "### Task 2 — 2-D Point with Distance" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "id": "OVh3GEzH-T0w" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "5.0\n" + ] + } + ], + "source": [ + "import math\n", + "\n", + "class Point:\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + " # TODO:\n", + " # 1. Store x and y as attributes.\n", + " # 2. Implement distance_to(other) using the Euclidean formula.\n", + " def __init__(self, x: float, y: float):\n", + " self.x = x\n", + " self.y = y\n", + "\n", + " def distance_to(self, other: \"Point\") -> float:\n", + " return math.sqrt((self.x - other.x) ** 2 + (self.y - other.y) ** 2)\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "print(p.distance_to(q))\n", + "\n", + "\n", + "# Smoke test\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "assert round(p.distance_to(q), 1) == 5.0\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.10" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.1/AI_DS_Nexus_A0_1_MrAshki.ipynb b/a0.1/a0.1/AI_DS_Nexus_A0_1_MrAshki.ipynb new file mode 100644 index 0000000..d51a252 --- /dev/null +++ b/a0.1/a0.1/AI_DS_Nexus_A0_1_MrAshki.ipynb @@ -0,0 +1,490 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ], + "metadata": { + "id": "ZS5lje_18xC2" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ], + "metadata": { + "id": "u5vvtK-6840I" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ], + "metadata": { + "id": "UyNHtkGm9OgH" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "lmaiboJe8E15", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "42d097b5-8683-4248-947b-d99acf32b416" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Enter temperature in Celsius: 2.5\n", + "2.5 degrees Celsius is 36.5 degrees Fahrenheit.\n" + ] + } + ], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "celsius_text = input(\"Enter temperature in Celsius: \")\n", + "celsius_val = float(celsius_text)\n", + "fahrenheit = (celsius_val * 9/5) + 32\n", + "print(f\"{celsius_val} degrees Celsius is {fahrenheit} degrees Fahrenheit.\")\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Tiny Calculator\n" + ], + "metadata": { + "id": "BtsB8QKM9Xs_" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "a = 15\n", + "b = 4.0\n", + "\n", + "print(f\"Sum: {a + b}\")\n", + "print(f\"Difference: {a - b}\")\n", + "print(f\"Product: {a * b}\")\n", + "print(f\"True Division: {a / b}\") # نتیجه اعشاری: 3.75\n", + "print(f\"Floor Division: {a // b}\") # نتیجه صحیح: 3.0\n" + ], + "metadata": { + "id": "DSR8aS-F9Z10", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "25bb49e9-f971-46e2-ae0e-9d59c94a839f" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Sum: 19.0\n", + "Difference: 11.0\n", + "Product: 60.0\n", + "True Division: 3.75\n", + "Floor Division: 3.0\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ], + "metadata": { + "id": "8JjHX4wy9dPz" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ], + "metadata": { + "id": "wRyJyhbt9uUr" + } + }, + { + "cell_type": "code", + "source": [ + "# Start with an empty shopping list (list).\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "# 3. Print the third item using tuple indexing.\n", + "\n", + "user_input = input(\"Enter at least 4 items (comma-separated): \")\n", + "basket_list = user_input.split(\",\")\n", + "\n", + "immutable_basket = tuple(basket_list)\n", + "\n", + "print(f\"Third item: {immutable_basket[2]}\")\n" + ], + "metadata": { + "id": "1J4jcLct9yVO", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "d5045df7-6198-49cb-94e7-c010d69f39cf" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Enter at least 4 items (comma-separated): banana, apple, orange, cucumber\n", + "Third item: orange\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Word Stats" + ], + "metadata": { + "id": "byKd8SFK9w2y" + } + }, + { + "cell_type": "code", + "source": [ + "sample = \"to be or not to be that is the question\"\n", + "\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "sample = \"to be or not to be that is the question\"\n", + "words = sample.split()\n", + "\n", + "\n", + "unique_words = set(words)\n", + "\n", + "\n", + "word_counts = {word: words.count(word) for word in unique_words}\n", + "\n", + "print(\"Unique Words:\", unique_words)\n", + "print(\"Word Counts:\", word_counts)\n", + "\n", + "# تفاوت اصلی:\n", + "# Set: کلمات تکراری را حذف می‌کند و ترتیب ندارد.\n", + "# Dict: ارتباط بین هر کلمه و تعداد تکرار آن را ذخیره می‌کند.\n" + ], + "metadata": { + "id": "4rLrxkPj90p3", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "9a2d885c-16de-43f5-8716-3cfa958b61d5" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Unique Words: {'to', 'that', 'question', 'or', 'is', 'be', 'the', 'not'}\n", + "Word Counts: {'to': 2, 'that': 1, 'question': 1, 'or': 1, 'is': 1, 'be': 2, 'the': 1, 'not': 1}\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ], + "metadata": { + "id": "gbGMbtLf94M4" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Prime Tester" + ], + "metadata": { + "id": "QOsToPh2-AnZ" + } + }, + { + "cell_type": "code", + "source": [ + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " # TODO: replace pass with your implementation\n", + "def is_prime(n: int) -> bool:\n", + " if n <= 1: return False\n", + " for i in range(2, int(n**0.5) + 1):\n", + " if n % i == 0:\n", + " return False\n", + " return True\n", + "\n", + "\n", + "\n", + "\n", + "# Quick self-check\n", + "print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n" + ], + "metadata": { + "id": "_pCU2mIH-DAi", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "71a25e02-b012-4dcd-f527-085085ea4690" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[2, 3, 5, 7]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Repeater Greeter" + ], + "metadata": { + "id": "TBGXIzVV-E5u" + } + }, + { + "cell_type": "code", + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + "\n", + "def greet(name: str, times: int = 1) -> None:\n", + "\n", + " output = (name.capitalize() + \" \") * times\n", + " print(output.strip())\n", + "\n", + "greet(\"alice\") # Alice\n", + "greet(\"bob\", times=3) # Bob Bob Bob\n" + ], + "metadata": { + "id": "ycvsNyqh-GRM", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "4f4f3da9-15d2-416f-b696-bf115c0741b1" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Alice\n", + "Bob Bob Bob\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ], + "metadata": { + "id": "y7K-GaBC-ImE" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Simple Counter" + ], + "metadata": { + "id": "NgKjsy8A-N3l" + } + }, + { + "cell_type": "code", + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " # TODO:\n", + " # 1. In __init__, store an internal count variable starting at 0.\n", + " # 2. Method increment(step: int = 1) adds `step` to the count.\n", + " # 3. Method value() returns the current count.\n", + " def __init__(self):\n", + " self.count = 0\n", + "\n", + " def increment(self, step: int = 1):\n", + " self.count += step\n", + "\n", + " def value(self):\n", + " return self.count\n", + "\n", + "c = Counter()\n", + "for _ in range(5):\n", + " c.increment()\n", + "print(c.value()) # Expected: 5\n" + ], + "metadata": { + "id": "dPFvr_fe-OPR", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "fdcc7fb5-a7d9-4a26-9573-375e8d68914e" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "5\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — 2-D Point with Distance" + ], + "metadata": { + "id": "U99aupan-Q8u" + } + }, + { + "cell_type": "code", + "source": [ + "import math\n", + "\n", + "class Point:\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + " # TODO:\n", + " # 1. Store x and y as attributes.\n", + " # 2. Implement distance_to(other) using the Euclidean formula.\n", + " def __init__(self, x, y):\n", + " self.x = x\n", + " self.y = y\n", + "\n", + " def distance_to(self, other):\n", + "\n", + " return math.sqrt((self.x - other.x)**2 + (self.y - other.y)**2)\n", + "\n", + "\n", + "# Smoke test\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "assert round(p.distance_to(q), 1) == 5.0\n", + "print(f\"Distance: {p.distance_to(q)}\")\n" + ], + "metadata": { + "id": "OVh3GEzH-T0w", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "acca6688-4852-4259-8692-756fe35ebba7" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Distance: 5.0\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.1/AI_DS_Nexus__A0_1__amirvali800.ipynb b/a0.1/a0.1/AI_DS_Nexus__A0_1__amirvali800.ipynb new file mode 100644 index 0000000..cfa04f8 --- /dev/null +++ b/a0.1/a0.1/AI_DS_Nexus__A0_1__amirvali800.ipynb @@ -0,0 +1,485 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ], + "metadata": { + "id": "ZS5lje_18xC2" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ], + "metadata": { + "id": "u5vvtK-6840I" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ], + "metadata": { + "id": "UyNHtkGm9OgH" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "lmaiboJe8E15", + "outputId": "1fb6d6d8-8d6e-4872-a2c5-ef6594e57a6c", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "32.0°C is equal to 336.0°F.\n" + ] + } + ], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "# TODO: your code here\n", + "Celsius_text = 32\n", + "Celsius = float(Celsius_text)\n", + "Fahrenheit = (Celsius * 9.5 + 32)\n", + "print(f\"{Celsius:.1f}°C is equal to {Fahrenheit:.1f}°F.\")" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Tiny Calculator\n" + ], + "metadata": { + "id": "BtsB8QKM9Xs_" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "# TODO: your code here\n", + "a = 16\n", + "b = 3.5\n", + "print(a+b)\n", + "print(a-b)\n", + "print(a*b)\n", + "print(a/b)\n", + "print(a//b)" + ], + "metadata": { + "id": "DSR8aS-F9Z10", + "outputId": "220a85a7-008b-417d-e2ee-bcd10746036c", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "19.5\n", + "12.5\n", + "56.0\n", + "4.571428571428571\n", + "4.0\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ], + "metadata": { + "id": "8JjHX4wy9dPz" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ], + "metadata": { + "id": "wRyJyhbt9uUr" + } + }, + { + "cell_type": "code", + "source": [ + "# Start with an empty shopping list (list).\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "# 3. Print the third item using tuple indexing.\n", + "# TODO: your code here\n", + "shopping_list = []\n", + "items = input(\"Enter at least 4 items, separated by commas: \")\n", + "shopping_list.extend([item.strip() for item in items.split(\",\")])\n", + "immutable_basket = tuple(shopping_list)\n", + "print(\"The third item is:\", immutable_basket[2])" + ], + "metadata": { + "id": "1J4jcLct9yVO", + "outputId": "49583843-6710-4d38-d940-70b3004f31eb", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Enter at least 4 items, separated by commas: esss,ss,sss,sss\n", + "The third item is: sss\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Word Stats" + ], + "metadata": { + "id": "byKd8SFK9w2y" + } + }, + { + "cell_type": "code", + "source": [ + "sample = \"to be or not to be that is the question\"\n", + "\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "# TODO: your code here\n", + "sample = \"to be or not to be that is the question\"\n", + "unique_words = set(sample.split())\n", + "word_counts = {}\n", + "for word in sample.split():\n", + " if word in word_counts:\n", + " word_counts[word] += 1\n", + " else:\n", + " word_counts[word] = 1\n", + "print(\"Unique words (set):\", unique_words)\n", + "print(\"Word counts (dict):\", word_counts)" + ], + "metadata": { + "id": "4rLrxkPj90p3", + "outputId": "a2c79c1a-b14e-4a52-bac4-85eb5f6cd5e9", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Unique words (set): {'or', 'is', 'the', 'not', 'to', 'be', 'question', 'that'}\n", + "Word counts (dict): {'to': 2, 'be': 2, 'or': 1, 'not': 1, 'that': 1, 'is': 1, 'the': 1, 'question': 1}\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ], + "metadata": { + "id": "gbGMbtLf94M4" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Prime Tester" + ], + "metadata": { + "id": "QOsToPh2-AnZ" + } + }, + { + "cell_type": "code", + "source": [ + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " # TODO: replace pass with your implementation\n", + " if n < 2:\n", + " return False\n", + " for i in range(2, int(n**0.5) + 1):\n", + " if n % i == 0:\n", + " return False\n", + " return True\n", + "\n", + "\n", + "# Quick self-check\n", + "print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n" + ], + "metadata": { + "id": "_pCU2mIH-DAi", + "outputId": "a9de45ab-bb5a-4d74-8b5f-44025b285b08", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[2, 3, 5, 7]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Repeater Greeter" + ], + "metadata": { + "id": "TBGXIzVV-E5u" + } + }, + { + "cell_type": "code", + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + " # TODO: your code here\n", + " nam = []\n", + " for i in range(times):\n", + " nam.append(name.capitalize())\n", + " print(*nam)\n", + "\n", + "greet(\"alice\") # Alice\n", + "greet(\"bob\", times=3) # Bob Bob Bob\n" + ], + "metadata": { + "id": "ycvsNyqh-GRM", + "outputId": "f0715a26-883a-401f-ea7f-4cd7d12d3ac9", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Alice\n", + "Bob Bob Bob\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ], + "metadata": { + "id": "y7K-GaBC-ImE" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Simple Counter" + ], + "metadata": { + "id": "NgKjsy8A-N3l" + } + }, + { + "cell_type": "code", + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " # TODO:\n", + " # 1. In __init__, store an internal count variable starting at 0.\n", + " # 2. Method increment(step: int = 1) adds `step` to the count.\n", + " # 3. Method value() returns the current count.\n", + " def __init__(self):\n", + " self._count = 0\n", + "\n", + " def increment(self, step: int = 1):\n", + " self._count += step\n", + "\n", + " def value(self):\n", + " return self._count\n", + "\n", + "c = Counter()\n", + "for _ in range(5):\n", + " c.increment()\n", + "print(c.value()) # Expected: 5\n" + ], + "metadata": { + "id": "dPFvr_fe-OPR", + "outputId": "4d5b5a73-a016-4913-f6b3-a5c12c146ac6", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "5\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — 2-D Point with Distance" + ], + "metadata": { + "id": "U99aupan-Q8u" + } + }, + { + "cell_type": "code", + "source": [ + "import math\n", + "\n", + "class Point:\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + " # TODO:\n", + " # 1. Store x and y as attributes.\n", + " # 2. Implement distance_to(other) using the Euclidean formula.\n", + " def __init__(self, x: float, y: float):\n", + " # 1. ذخیره مختصات x و y\n", + " self.x = x\n", + " self.y = y\n", + "\n", + " def distance_to(self, other: \"Point\") -> float:\n", + " # 2. محاسبه فاصله اقلیدسی\n", + " dx = self.x - other.x\n", + " dy = self.y - other.y\n", + " return math.sqrt(dx**2 + dy**2)\n", + "\n", + "# Smoke test\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "assert round(p.distance_to(q), 1) == 5.0\n", + "print(p.distance_to(q))\n" + ], + "metadata": { + "id": "OVh3GEzH-T0w", + "outputId": "6e19bc27-40ff-4f33-8897-b211bd917f05", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "5.0\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git "a/a0.1/a0.1/AI\342\200\223DS_Nexus___A0_1_Python___RooholaAlikhani.ipynb" "b/a0.1/a0.1/AI\342\200\223DS_Nexus___A0_1_Python___RooholaAlikhani.ipynb" new file mode 100644 index 0000000..7e54e91 --- /dev/null +++ "b/a0.1/a0.1/AI\342\200\223DS_Nexus___A0_1_Python___RooholaAlikhani.ipynb" @@ -0,0 +1,577 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "ZS5lje_18xC2" + }, + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u5vvtK-6840I" + }, + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UyNHtkGm9OgH" + }, + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "lmaiboJe8E15" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "38.6° Celsius is 398.7° Fahrenhit\n" + ] + } + ], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "# TODO: your code here\n", + "\n", + "#VERSION 1\n", + "degree_celsius1 = '38.6'\n", + "degree_fahrenhit1 = round((float(degree_celsius1) * 9.5 + 32) , 1) \n", + "print(f'{degree_celsius1}° Celsius is {degree_fahrenhit1}° Fahrenhit')" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "700.0° Celsius is 6682.0° Fahrenhit\n" + ] + } + ], + "source": [ + "#VERSION 2\n", + "degree_celsius = float(input(\"insert celsius degree\"))\n", + "degree_fahrenhit = round((degree_celsius * 9.5 + 32) , 2) \n", + "print(f'{degree_celsius}° Celsius is {degree_fahrenhit}° Fahrenhit')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BtsB8QKM9Xs_" + }, + "source": [ + "### Task 2 — Tiny Calculator\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "DSR8aS-F9Z10" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sum : a + b Equals 10\n", + "\n", + "difference : a - b = 4\n", + "\n", + "product : a * b = 21\n", + "\n", + "division : a / b = 2.33\n", + "\n", + "f_division : a // b = 2\n", + "\n" + ] + } + ], + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "# TODO: your code here\n", + "a , b = 7 , 3\n", + "summ = a + b\n", + "difference = a - b \n", + "product = a * b\n", + "division = round((a / b) , 2)\n", + "floor_division = a // b\n", + "print(f'Sum : a + b Equals {summ}\\n' )\n", + "print(f'difference : a - b = {difference}\\n')\n", + "print(f'product : a * b = {product}\\n')\n", + "print(f'division : a / b = {division}\\n')\n", + "print(f'f_division : a // b = {floor_division}\\n')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8JjHX4wy9dPz" + }, + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wRyJyhbt9uUr" + }, + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "1J4jcLct9yVO" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " immutable_basket is : ('d ', ' 4 ', ' kll ', ' 56') \n", + "The third item is : kll \n" + ] + } + ], + "source": [ + "# Start with an empty shopping list (list).\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "# 3. Print the third item using tuple indexing.\n", + "# TODO: your code here\n", + "\n", + "# WITH append()\n", + "mylist = []\n", + "\n", + "user_input = input(\"Enter at least 4 items (comma-separated): \")\n", + "items = user_input.strip().split(\",\")\n", + "\n", + "if len(items) >= 4 : \n", + " for i in items : \n", + " mylist.append(i)\n", + "else :\n", + " print(\"pls insert more than 4 items or 3 coma\")\n", + "\n", + "immutable_basket = tuple(mylist)\n", + "\n", + "print(f' immutable_basket is : {immutable_basket} ')\n", + "print(f\"The third item is : {immutable_basket[2] }\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "('1', '2', '3', '4', '5')\n", + "The third item is: 3\n" + ] + } + ], + "source": [ + "# with extend & comphernsion list\n", + "mylist = []\n", + "user_input = input(\"Enter at least 4 items (comma-separated): \")\n", + "items = [item.strip() for item in user_input.split(\",\")]\n", + "\n", + "if len(items) >= 4:\n", + " mylist.extend(items)\n", + "else:\n", + " print(\"Please enter at least 4 items.\")\n", + " exit()\n", + "\n", + "immutable_basket = tuple(mylist)\n", + "\n", + "print(immutable_basket)\n", + "print(f\"The third item is: {immutable_basket[2]}\")\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "byKd8SFK9w2y" + }, + "source": [ + "### Task 2 — Word Stats" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "id": "4rLrxkPj90p3" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mylist is : ['to', 'be', 'or', 'not', 'to', 'be', 'that', 'is', 'the', 'question']\n", + "\n", + "Unique words (set) : {'that', 'not', 'is', 'the', 'or', 'to', 'question', 'be'}\n", + "\n", + "Word counts (dict) : {'to': 2, 'be': 2, 'or': 1, 'not': 1, 'that': 1, 'is': 1, 'the': 1, 'question': 1} \n" + ] + } + ], + "source": [ + "\n", + "\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "# TODO: your code here\n", + " \n", + "sample = \"to be or not to be that is the question\"\n", + "\n", + "mylist = sample.split(\" \")\n", + "unique_words = set(mylist)\n", + "word_counts = {}\n", + "\n", + "for i in mylist:\n", + " if i in word_counts:\n", + " word_counts[i] += 1\n", + " else:\n", + " word_counts[i] = 1\n", + "\n", + "print(f'Mylist is : {mylist}\\n')\n", + "print(f\"Unique words (set) : {unique_words}\\n\")\n", + "print(f\"Word counts (dict) : {word_counts} \" )\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gbGMbtLf94M4" + }, + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QOsToPh2-AnZ" + }, + "source": [ + "### Task 1 — Prime Tester" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "id": "_pCU2mIH-DAi" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "list_add_aval in range 0-100 : [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97]\n", + "\n", + "tedad adad aval in range 0-100 = 25\n" + ] + } + ], + "source": [ + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " if n < 2 :\n", + " return False # print(f'{n} add aval nist!!')\n", + " \n", + " for i in range (2 , n) : # range (2 , n) >> 2 - n-1 \n", + " if n % i ==0 :\n", + " return False #print(f'{n} add aval nist!!')\n", + " \n", + " return True\n", + "\n", + "\n", + " # TODO: replace pass with your implementation\n", + " #pass\n", + "\n", + "\n", + "# Quick self-check\n", + "baze_mogasebat = 100\n", + "m = range(baze_mogasebat)\n", + "\n", + "list_add_aval = [x for x in m if is_prime(x)]\n", + "print(f\"list_add_aval in range 0-{baze_mogasebat} : {list_add_aval}\\n\")\n", + "\n", + "print(f'tedad adad aval in range 0-{baze_mogasebat} = {len(list_add_aval)}') # Expected: [2, 3, 5, 7]\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "TBGXIzVV-E5u" + }, + "source": [ + "### Task 2 — Repeater Greeter" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Alice\n", + "Bob Bob Bob\n" + ] + } + ], + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + " # TODO: your code here\n", + "\n", + " a = name.strip().capitalize()\n", + " a = (a+\" \") *times\n", + "\n", + " return a.strip() \n", + "\n", + "a = greet(\"alice\") # Alice\n", + "b = greet(\"bob\", times=3) # Bob Bob Bob\n", + "\n", + "print(a)\n", + "print(b)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "y7K-GaBC-ImE" + }, + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NgKjsy8A-N3l" + }, + "source": [ + "### Task 1 — Simple Counter" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": { + "id": "dPFvr_fe-OPR" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "100\n" + ] + } + ], + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " # TODO:\n", + " # 1. In __init__, store an internal count variable starting at 0.\n", + " # 2. Method increment(step: int = 1) adds `step` to the count.\n", + " # 3. Method value() returns the current count.\n", + "\n", + " def __init__(self):\n", + " self.count = 0\n", + " \n", + " def increment(self, step: int = 1):\n", + " self.count += step\n", + " \n", + " def value(self):\n", + " return self.count\n", + " \n", + "\n", + "c = Counter()\n", + "for _ in range(100):\n", + " c.increment()\n", + "\n", + "print(c.value()) # Expected: 5\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "U99aupan-Q8u" + }, + "source": [ + "### Task 2 — 2-D Point with Distance" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "id": "OVh3GEzH-T0w" + }, + "outputs": [], + "source": [ + "import math\n", + "\n", + "class Point:\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + " # TODO:\n", + " # 1. Store x and y as attributes.\n", + " # 2. Implement distance_to(other) using the Euclidean formula.\n", + "\n", + " def __init__(self, x: float, y: float):\n", + " self.x = x\n", + " self.y = y\n", + " \n", + " def distance_to(self, other):\n", + " dx = self.x - other.x\n", + " dy = self.y - other.y\n", + "\n", + " return math.sqrt(dx**2 + dy**2) \n", + " \n", + "\n", + "# Smoke test\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "assert round(p.distance_to(q), 1) == 5.0\n" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "11.7\n" + ] + } + ], + "source": [ + "m , n = Point( 10 , 6 ) , Point( 0 , 0)\n", + "print(round(m.distance_to(n), 1))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "DsAi", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git "a/a0.1/a0.1/Another copy of AI\342\200\223DS Nexus _ A0.1. Python _ RezaShokr.ipynb" "b/a0.1/a0.1/Another copy of AI\342\200\223DS Nexus _ A0.1. Python _ RezaShokr.ipynb" new file mode 100644 index 0000000..4b55418 --- /dev/null +++ "b/a0.1/a0.1/Another copy of AI\342\200\223DS Nexus _ A0.1. Python _ RezaShokr.ipynb" @@ -0,0 +1 @@ +{"cells":[{"cell_type":"markdown","metadata":{"id":"ZS5lje_18xC2"},"source":["# 📚 Assignment 1 — Python Fundamentals\n","Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n","\n","1. Variable types\n","\n","2. Core containers\n","\n","3. Functions\n","\n","4. Classes\n","\n","Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊"]},{"cell_type":"markdown","metadata":{"id":"u5vvtK-6840I"},"source":["## 1. Variable Types 🧮\n","**Quick-start notes**\n","\n","* Primitive types: `int`, `float`, `str`, `bool`\n","\n","* Use `type(obj)` to inspect an object’s type.\n","\n","* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc."]},{"cell_type":"markdown","metadata":{"id":"UyNHtkGm9OgH"},"source":["### Task 1 — Celsius → Fahrenheit\n","\n"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":4573,"status":"ok","timestamp":1748587242026,"user":{"displayName":"danial jafariii","userId":"01847614921988899910"},"user_tz":-210},"id":"lmaiboJe8E15","outputId":"964a53e1-b4c8-4f73-b077-df837841f4b1"},"outputs":[{"name":"stdout","output_type":"stream","text":["Please give me temperature Celsius: 14\n","57.2 is temoerature\n"]}],"source":["# 👉 a Celsius temperature (as text), convert it to float,\n","# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n","# TODO: your code here\n","Temperature_str = str(input(\"Please give me temperature Celsius: \"))\n","Celsius_float = float(Temperature_str)\n","Farenhait = Celsius_float*9/5 + 32\n","print(f\"{Farenhait} is temoerature\")\n"]},{"cell_type":"markdown","metadata":{"id":"BtsB8QKM9Xs_"},"source":["### Task 2 — Tiny Calculator\n"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":11099,"status":"ok","timestamp":1748588294191,"user":{"displayName":"danial jafariii","userId":"01847614921988899910"},"user_tz":-210},"id":"DSR8aS-F9Z10","outputId":"f232e51b-a7c4-44a4-a12b-ca202393a046"},"outputs":[{"name":"stdout","output_type":"stream","text":["Please give integer num: 30\n","Please give float num: 2\n","32 28 60 15.0\n"]}],"source":["# 👉 Store two numbers of **different types** (one int, one float),\n","# then print their sum, difference, product, true division, and floor division.\n","# TODO: your code here\n","num_int = int(input(\"Please give integer num: \"))\n","num_float = float(input(\"Please give float num: \"))\n","### To perform an operation between two numbers , both must be integers.\n","num_float = int(num_float)\n","pluss = num_int + num_float\n","minus = num_int - num_float\n","cross = num_int * num_float\n","Devide = num_int / num_float\n","print(pluss , minus , cross , Devide)\n"]},{"cell_type":"markdown","metadata":{"id":"8JjHX4wy9dPz"},"source":["## 2. Containers 📦 (list, tuple, set, dict)\n","**Quick-start notes**\n","\n","| Container | Mutable? | Ordered? | Typical use |\n","| --------- | -------- | ----------------------------- | --------------------------------- |\n","| `list` | ✔ | ✔ | Growth, indexing, slicing |\n","| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n","| `set` | ✔ | ✖ | Deduplication, membership tests |\n","| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n"]},{"cell_type":"markdown","metadata":{"id":"wRyJyhbt9uUr"},"source":["### Task 1 — Grocery Basket\n","\n"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":20648,"status":"ok","timestamp":1748592831810,"user":{"displayName":"danial jafariii","userId":"01847614921988899910"},"user_tz":-210},"id":"1J4jcLct9yVO","outputId":"c3017f5c-23fd-4005-bdf4-d05727fbd89b"},"outputs":[{"name":"stdout","output_type":"stream","text":["Please give me input: llll\n","Please give me input: bvbvbvv\n","Please give me input: fgttt\n","Please give me input: fggt\n","Please give me input: hjhjjjh\n","Do you want append item?(yes/no)? no\n","['llll', 'bvbvbvv', 'fgttt', 'fggt', 'hjhjjjh']\n","\n"," This third item : fgttt\n"]}],"source":["# Start with an empty shopping list (list).\n","# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n","# 2. Convert the list to a *tuple* called immutable_basket.\n","# 3. Print the third item using tuple indexing.\n","# TODO: your code here\n","shopping_list = []\n","while True:\n"," item = str(input(\"Please give me input: \"))\n"," shopping_list.append(item)\n"," if len(shopping_list) > 4:\n"," p_item = input(\"Do you want append item?(yes/no)? \").strip().lower()\n"," if p_item == \"no\":\n"," break\n","print(shopping_list)\n","immutable_basket = tuple(shopping_list)\n","print(\"\\n This third item : \", immutable_basket[2])\n"]},{"cell_type":"markdown","metadata":{"id":"byKd8SFK9w2y"},"source":["### Task 2 — Word Stats"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":1867,"status":"ok","timestamp":1748596077738,"user":{"displayName":"danial jafariii","userId":"01847614921988899910"},"user_tz":-210},"id":"4rLrxkPj90p3","outputId":"59304c62-f5e8-4dee-c2be-1a8820b94884"},"outputs":[{"name":"stdout","output_type":"stream","text":["unique words : {'to', 'not', 'question', 'is', 'be', 'the', 'that', 'or'}\n","counts of words: {'to': 2, 'be': 2, 'or': 1, 'not': 1, 'that': 1, 'is': 1, 'the': 1, 'question': 1}\n"]}],"source":["sample = \"to be or not to be that is the question\"\n","\n","# 1. Build a set `unique_words` containing every distinct word.\n","# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n","# (Hint: .split() + a simple loop)\n","# 3. Print the two structures and explain (in a comment) their main difference.\n","# TODO: your code here\n","words = sample.split()\n","unique_words = set(words)\n","dic_words = {}\n","for word in words:\n"," if word in dic_words:\n"," dic_words[word] += 1\n"," else:\n"," dic_words[word] = 1\n","print(\"unique words :\" , unique_words)\n","print(\"counts of words: \" , dic_words)"]},{"cell_type":"markdown","metadata":{"id":"gbGMbtLf94M4"},"source":["## 3. Functions 🔧\n","**Quick-start notes**\n","\n","* Define with `def`, return with `return`.\n","\n","* Parameters can have default values.\n","\n","* Docstrings (`\"\"\" … \"\"\"`) document behaviour."]},{"cell_type":"markdown","metadata":{"id":"QOsToPh2-AnZ"},"source":["### Task 1 — Prime Tester"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":4,"status":"ok","timestamp":1748604455844,"user":{"displayName":"danial jafariii","userId":"01847614921988899910"},"user_tz":-210},"id":"_pCU2mIH-DAi","outputId":"8a0c873e-7779-487a-c731-75cc535391aa"},"outputs":[{"name":"stdout","output_type":"stream","text":["[2, 3, 5, 7]\n"]}],"source":["def is_prime(n: int) -> bool:\n"," \"\"\"\n"," Return True if n is a prime number, else False.\n"," 0 and 1 are *not* prime.\n"," \"\"\"\n"," # TODO: replace pass with your implementation\n"," if n < 2:\n"," return False\n"," for i in range(2, int(n**0.5) + 1):\n"," if n % i == 0:\n"," return False\n"," return True\n","\n","###number of range1-10\n","# Quick self-check\n","print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n"]},{"cell_type":"markdown","metadata":{"id":"TBGXIzVV-E5u"},"source":["### Task 2 — Repeater Greeter"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":4,"status":"ok","timestamp":1748793408926,"user":{"displayName":"danial jafariii","userId":"01847614921988899910"},"user_tz":-210},"id":"ycvsNyqh-GRM","outputId":"e4d24ead-074f-498f-8b34-6859ed2edf62"},"outputs":[{"name":"stdout","output_type":"stream","text":["Alice\n","Bob Bob Bob\n"]}],"source":["def greet(name: str, times: int = 1) -> None:\n"," \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n"," # TODO: your code here\n"," print(\" \".join([name.capitalize()] * times))\n","\n","greet(\"alice\") # Alice\n","greet(\"bob\", times=3) # Bob Bob Bob\n"]},{"cell_type":"markdown","metadata":{"id":"y7K-GaBC-ImE"},"source":["## 4. Classes 🏗️\n","**Quick-start notes**\n","\n","* Create with class Name:\n","\n","* Special method __init__ runs on construction.\n","\n","* self refers to the instance; attributes live on self."]},{"cell_type":"markdown","metadata":{"id":"NgKjsy8A-N3l"},"source":["### Task 1 — Simple Counter"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"dPFvr_fe-OPR","executionInfo":{"status":"ok","timestamp":1748878614276,"user_tz":-210,"elapsed":405,"user":{"displayName":"danial jafariii","userId":"01847614921988899910"}},"outputId":"82acd3d8-78ae-4188-bfbd-6c07b3a16b0c"},"outputs":[{"output_type":"stream","name":"stdout","text":["5\n"]}],"source":["class Counter:\n"," \"\"\"Counts how many times `increment` is called.\"\"\"\n"," # TODO:\n"," # 1. In __init__, store an internal count variable starting at 0.\n"," # 2. Method increment(step: int = 1) adds `step` to the count.\n"," # 3. Method value() returns the current count.\n"," def __init__(self):\n"," self.count = 0\n","\n"," def increment(self, step: int = 1):\n"," self.count += step\n","\n"," def value(self):\n"," return self.count\n","\n","c = Counter()\n","for _ in range(5):\n"," c.increment()\n","print(c.value()) # Expected: 5\n"]},{"cell_type":"markdown","metadata":{"id":"U99aupan-Q8u"},"source":["### Task 2 — 2-D Point with Distance"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"OVh3GEzH-T0w"},"outputs":[],"source":["import math\n","\n","class Point:\n"," \"\"\"\n"," A 2-D point supporting distance calculation.\n"," Usage:\n"," p = Point(3, 4)\n"," q = Point(0, 0)\n"," print(p.distance_to(q)) # 5.0\n"," \"\"\"\n"," # TODO:\n"," # 1. Store x and y as attributes.\n"," # 2. Implement distance_to(other) using the Euclidean formula.\n","\n"," def __init__(self, x , y):\n"," self.x = x\n"," self.y = y\n"," def distance_to(self , other):\n"," dx = self.x - other.x\n"," dy = self.y - other.y\n"," return math.sqrt(dx**2 + dy**2)\n","# Smoke test\n","p, q = Point(3, 4), Point(0, 0)\n","assert round(p.distance_to(q), 1) == 5.0\n"]}],"metadata":{"colab":{"provenance":[{"file_id":"18AJkITSV3zJ2eckTRJqYYxmJlSLPrJEs","timestamp":1748880050689},{"file_id":"1PHW5WZ1eMJVDuFL2QTtMEkdiZAaF4xQL","timestamp":1748604748000}]},"kernelspec":{"display_name":"Python 3","name":"python3"},"language_info":{"name":"python"}},"nbformat":4,"nbformat_minor":0} \ No newline at end of file diff --git a/a0.1/a0.1/Assignment_01_Python___Nexus___fatemeengashte.ipynb b/a0.1/a0.1/Assignment_01_Python___Nexus___fatemeengashte.ipynb new file mode 100644 index 0000000..96e1af6 --- /dev/null +++ b/a0.1/a0.1/Assignment_01_Python___Nexus___fatemeengashte.ipynb @@ -0,0 +1,498 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ], + "metadata": { + "id": "ZS5lje_18xC2" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ], + "metadata": { + "id": "u5vvtK-6840I" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ], + "metadata": { + "id": "UyNHtkGm9OgH" + } + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "lmaiboJe8E15", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "e7a4665a-1f4d-4f91-b318-70848763e1e8" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "25.0°C equals 77.00°F\n" + ] + } + ], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "# TODO: your code here\n", + "celsius_text = \"25\" # sample input as string\n", + "celsius = float(celsius_text) # convert to float\n", + "fahrenheit = celsius * 9/5 + 32 # conversion formula\n", + "print(f\"{celsius}°C equals {fahrenheit:.2f}°F\") # formatted output\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Tiny Calculator\n" + ], + "metadata": { + "id": "BtsB8QKM9Xs_" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "# TODO: your code here\n", + "# TODO: your code here\n", + "num1 = 8 # int\n", + "num2 = 2.5 # float\n", + "\n", + "sum_result = num1 + num2\n", + "diff_result = num1 - num2\n", + "prod_result = num1 * num2\n", + "true_div = num1 / num2\n", + "floor_div = num1 // num2\n", + "\n", + "print(\"\\nTiny Calculator Results:\")\n", + "print(f\"Sum: {sum_result}\")\n", + "print(f\"Difference: {diff_result}\")\n", + "print(f\"Product: {prod_result}\")\n", + "print(f\"True Division: {true_div}\")\n", + "print(f\"Floor Division: {floor_div}\")\n" + ], + "metadata": { + "id": "DSR8aS-F9Z10", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "12ae02f1-c4a6-42e4-9a2c-e4c5b1b610c9" + }, + "execution_count": 2, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Tiny Calculator Results:\n", + "Sum: 10.5\n", + "Difference: 5.5\n", + "Product: 20.0\n", + "True Division: 3.2\n", + "Floor Division: 3.0\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ], + "metadata": { + "id": "8JjHX4wy9dPz" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Grocery Basket\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "wRyJyhbt9uUr" + } + }, + { + "cell_type": "code", + "source": [ + "# Start with an empty shopping list (list).\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "# 3. Print the third item using tuple indexing.\n", + "# TODO: your code here\n", + "shopping_list = [] # empty list\n", + "raw = input(\"Enter at least 4 items (comma-separated): \").strip()\n", + "items = [x.strip() for x in raw.split(\",\") if x.strip()]\n", + "if len(items) < 4:\n", + " raise ValueError(\"Please enter at least 4 items separated by commas.\")\n", + "\n", + "shopping_list.extend(items)\n", + "immutable_basket = tuple(shopping_list)\n", + "\n", + "print(\"Immutable basket (tuple):\", immutable_basket)\n", + "print(\"Third item:\", immutable_basket[2])\n", + "\n" + ], + "metadata": { + "id": "1J4jcLct9yVO", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "37ec07c2-acbd-4322-bc0a-05a4aa7c58c2" + }, + "execution_count": 3, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Enter at least 4 items (comma-separated): milk, bread, eggs, apples\n", + "Immutable basket (tuple): ('milk', 'bread', 'eggs', 'apples')\n", + "Third item: eggs\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Word Stats" + ], + "metadata": { + "id": "byKd8SFK9w2y" + } + }, + { + "cell_type": "code", + "source": [ + "sample = \"to be or not to be that is the question\"\n", + "\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "# TODO: your code here\n", + "\n", + "sample = \"to be or not to be that is the question\"\n", + "\n", + "unique_words = set(sample.split())\n", + "\n", + "word_counts = {}\n", + "for w in sample.split():\n", + " word_counts[w] = word_counts.get(w, 0) + 1\n", + "\n", + "print(\"\\nUnique words (set):\", unique_words)\n", + "print(\"Word counts (dict):\", word_counts)\n", + "\n" + ], + "metadata": { + "id": "4rLrxkPj90p3", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "a31ba863-3a37-4fdc-df90-7af81c48d94f" + }, + "execution_count": 4, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Unique words (set): {'that', 'is', 'the', 'or', 'be', 'to', 'not', 'question'}\n", + "Word counts (dict): {'to': 2, 'be': 2, 'or': 1, 'not': 1, 'that': 1, 'is': 1, 'the': 1, 'question': 1}\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ], + "metadata": { + "id": "gbGMbtLf94M4" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Prime Tester" + ], + "metadata": { + "id": "QOsToPh2-AnZ" + } + }, + { + "cell_type": "code", + "source": [ + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " # TODO: replace pass with your implementation\n", + " if n < 2:\n", + " return False\n", + "\n", + " for i in range(2, int(n**0.5) + 1):\n", + " if n % i == 0:\n", + " return False\n", + " return True\n", + "\n", + "\n", + "# Quick self-check\n", + "print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n" + ], + "metadata": { + "id": "_pCU2mIH-DAi", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "136082a2-8c2a-44c4-9496-9817b99a79f9" + }, + "execution_count": 6, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[2, 3, 5, 7]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Repeater Greeter" + ], + "metadata": { + "id": "TBGXIzVV-E5u" + } + }, + { + "cell_type": "code", + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + " # TODO: your code here\n", + " output = (name.capitalize() + \" \") * times\n", + " print(output.strip())\n", + "\n", + "greet(\"alice\") # Alice\n", + "greet(\"bob\", times=3) # Bob Bob Bob\n" + ], + "metadata": { + "id": "ycvsNyqh-GRM", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "91877cfb-edae-40b2-e6fa-e9eb78e1114a" + }, + "execution_count": 7, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Alice\n", + "Bob Bob Bob\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ], + "metadata": { + "id": "y7K-GaBC-ImE" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Simple Counter" + ], + "metadata": { + "id": "NgKjsy8A-N3l" + } + }, + { + "cell_type": "code", + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " # TODO:\n", + " # 1. In __init__, store an internal count variable starting at 0.\n", + " # 2. Method increment(step: int = 1) adds `step` to the count.\n", + " # 3. Method value() returns the current count.\n", + "\n", + " def __init__(self) -> None:\n", + " self._count = 0\n", + "\n", + " def increment(self, step: int = 1) -> None:\n", + " if not isinstance(step, int):\n", + " raise TypeError(\"step must be an int\")\n", + " self._count += step\n", + "\n", + " def value(self) -> int:\n", + " return self._count\n", + "\n", + "\n", + "c = Counter()\n", + "for _ in range(5):\n", + " c.increment()\n", + "print(c.value()) # Expected: 5\n" + ], + "metadata": { + "id": "dPFvr_fe-OPR", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "8035616c-49be-42bb-ebd2-1479e4942662" + }, + "execution_count": 8, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "5\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — 2-D Point with Distance" + ], + "metadata": { + "id": "U99aupan-Q8u" + } + }, + { + "cell_type": "code", + "source": [ + "import math\n", + "\n", + "class Point:\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + " # TODO:\n", + " # 1. Store x and y as attributes.\n", + " # 2. Implement distance_to(other) using the Euclidean formula.\n", + " def __init__(self, x: float, y: float) -> None:\n", + " self.x = x\n", + " self.y = y\n", + "\n", + " def distance_to(self, other: \"Point\") -> float:\n", + " if not isinstance(other, Point):\n", + " raise TypeError(\"other must be a Point\")\n", + " return math.hypot(self.x - other.x, self.y - other.y)\n", + "\n", + "\n", + "# Smoke test\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "assert round(p.distance_to(q), 1) == 5.0\n" + ], + "metadata": { + "id": "OVh3GEzH-T0w" + }, + "execution_count": 10, + "outputs": [] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.1/Copy_of_Assignment_01_Python__Nexus__RezaShokrzad.ipynb b/a0.1/a0.1/Copy_of_Assignment_01_Python__Nexus__RezaShokrzad.ipynb new file mode 100644 index 0000000..b63ec79 --- /dev/null +++ b/a0.1/a0.1/Copy_of_Assignment_01_Python__Nexus__RezaShokrzad.ipynb @@ -0,0 +1,426 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [], + "include_colab_link": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "JGcRVAwXCK-A" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ], + "metadata": { + "id": "ZS5lje_18xC2" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ], + "metadata": { + "id": "u5vvtK-6840I" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ], + "metadata": { + "id": "UyNHtkGm9OgH" + } + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "lmaiboJe8E15", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "ba87dbf1-edd7-4680-d0d5-072ca0fa045c" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Enter temperature in Celsius: 20\n", + "20.00°C is 68.00°F\n" + ] + } + ], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "# TODO:\n", + "\n", + "celsius_text = input(\"Enter temperature in Celsius: \")\n", + "celsius = float(celsius_text)\n", + "fahrenheit = celsius * 9 / 5 + 32\n", + "print(f\"{celsius:.2f}°C is {fahrenheit:.2f}°F\")\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Tiny Calculator\n" + ], + "metadata": { + "id": "BtsB8QKM9Xs_" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "# TODO:\n", + "a = int(input(\"Enter int Number: \"))\n", + "b = float(input(\"Enter float Number: \"))\n", + "\n", + "sum = a + b\n", + "diff = a - b\n", + "prod = a * b\n", + "true_div = a / b\n", + "floor_div = a // b\n", + "\n", + "print(f\"Sum: {sum}\")\n", + "print(f\"Difference: {diff}\")\n", + "print(f\"Product: {prod}\")\n", + "print(f\"True Division: {true_div}\")\n", + "print(f\"Floor Division: {floor_div}\")\n" + ], + "metadata": { + "id": "DSR8aS-F9Z10" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ], + "metadata": { + "id": "8JjHX4wy9dPz" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ], + "metadata": { + "id": "wRyJyhbt9uUr" + } + }, + { + "cell_type": "code", + "source": [ + "# Start with an empty shopping list (list).\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "# 3. Print the third item using tuple indexing.\n", + "# TODO:\n", + "shopping_list = []\n", + "\n", + "items_input = input(\"Enter at least 4 shopping items (comma-separated): \")\n", + "\n", + "items = [item.strip() for item in items_input.split(\",\")]\n", + "\n", + "shopping_list.extend(items)\n", + "\n", + "immutable_basket = tuple(shopping_list)\n", + "\n", + "print(f\"The third item is: {immutable_basket[2]}\")\n" + ], + "metadata": { + "id": "1J4jcLct9yVO" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Word Stats" + ], + "metadata": { + "id": "byKd8SFK9w2y" + } + }, + { + "cell_type": "code", + "source": [ + "sample = \"to be or not to be that is the question\"\n", + "\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "# TODO:\n", + "text = input(\"Enter a sentence or paragraph: \")\n", + "unique_words = set(text.split())\n", + "word_counts = {}\n", + "for word in text.split():\n", + " word_counts[word] = word_counts.get(word, 0) + 1\n", + "\n", + "print(\"Unique words (set):\", unique_words)\n", + "print(\"Word counts (dict):\", word_counts)" + ], + "metadata": { + "id": "4rLrxkPj90p3" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ], + "metadata": { + "id": "gbGMbtLf94M4" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Prime Tester" + ], + "metadata": { + "id": "QOsToPh2-AnZ" + } + }, + { + "cell_type": "code", + "source": [ + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " # TODO:\n", + " if n < 2:\n", + " return False\n", + " if n in (2, 3):\n", + " return True\n", + " if n % 2 == 0:\n", + " return False\n", + "\n", + " for i in range(3, int(n ** 0.5) + 1, 2):\n", + " if n % i == 0:\n", + " return False\n", + " return True\n", + " pass\n", + "\n", + "\n", + "# Quick self-check\n", + "print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n" + ], + "metadata": { + "id": "_pCU2mIH-DAi" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Repeater Greeter" + ], + "metadata": { + "id": "TBGXIzVV-E5u" + } + }, + { + "cell_type": "code", + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + " # TODO:\n", + " capitalized = name.capitalize()\n", + " print(\" \".join([capitalized] * times))\n", + "\n", + "\n", + "greet(\"alice\") # Alice\n", + "greet(\"bob\", times=3) # Bob Bob Bob\n" + ], + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ], + "metadata": { + "id": "y7K-GaBC-ImE" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Simple Counter" + ], + "metadata": { + "id": "NgKjsy8A-N3l" + } + }, + { + "cell_type": "code", + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " def __init__(self):\n", + " self._count = 0\n", + "\n", + " def increment(self, step: int = 1):\n", + " self._count += step\n", + "\n", + " def value(self):\n", + " return self._count\n", + "\n", + "\n", + "c = Counter()\n", + "for _ in range(5):\n", + " c.increment()\n", + "print(c.value()) # Expected: 5\n", + "\n" + ], + "metadata": { + "id": "dPFvr_fe-OPR" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — 2-D Point with Distance" + ], + "metadata": { + "id": "U99aupan-Q8u" + } + }, + { + "cell_type": "code", + "source": [ + "import math\n", + "\n", + "class Point:\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + " # TODO:\n", + " def __init__(self, x, y):\n", + " self.x = x\n", + " self.y = y\n", + "\n", + " def distance_to(self, other):\n", + " dx = self.x - other.x\n", + " dy = self.y - other.y\n", + " return math.sqrt(dx ** 2 + dy ** 2)\n", + "\n", + "\n", + "# Smoke test\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "assert round(p.distance_to(q), 1) == 5.0\n" + ], + "metadata": { + "id": "OVh3GEzH-T0w" + }, + "execution_count": null, + "outputs": [] + } + ] +} diff --git a/a0.1/a0.1/a0.1 arian shishehgar.ipynb b/a0.1/a0.1/a0.1 arian shishehgar.ipynb new file mode 100644 index 0000000..caeb28d --- /dev/null +++ b/a0.1/a0.1/a0.1 arian shishehgar.ipynb @@ -0,0 +1,491 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ], + "metadata": { + "id": "ZS5lje_18xC2" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ], + "metadata": { + "id": "u5vvtK-6840I" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ], + "metadata": { + "id": "UyNHtkGm9OgH" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "lmaiboJe8E15", + "outputId": "c44d6904-62f0-40cb-937e-f0567af3eb36", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "As you wish Mr.shokrzad\n", + "enter your temp in celsius : 10\n", + "Your temp in celsius is : 10.0 °C \n", + "In Fahrenheit is : 50.0 °F\n" + ] + } + ], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "# TODO: your code here\n", + "\n", + "\n", + "\n", + "print('As you wish Mr.shokrzad')\n", + "temp = float(input('enter your temp in celsius : '))\n", + "temp_f = temp * 9/5 + 32\n", + "print(f'Your temp in celsius is : {temp} °C \\nIn Fahrenheit is : {temp_f} °F')\n", + "\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Tiny Calculator\n" + ], + "metadata": { + "id": "BtsB8QKM9Xs_" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "# TODO: your code here\n", + "\n", + "a = int(36)\n", + "b = float(15.35)\n", + "\n", + "print(\"Sum:\", a + b)\n", + "print(\"Difference:\", a - b)\n", + "print(\"Product:\", a * b)\n", + "print(\"True Division:\", a / b)\n", + "print(\"Floor Division:\", a // b)\n", + "print(f'second way for floor division : {int(a/b)}')" + ], + "metadata": { + "id": "DSR8aS-F9Z10", + "outputId": "488b7faa-4024-4f52-e0df-42c6485af611", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Sum: 51.35\n", + "Difference: 20.65\n", + "Product: 552.6\n", + "True Division: 2.3452768729641695\n", + "Floor Division: 2.0\n", + "second way for floor division : 2\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ], + "metadata": { + "id": "8JjHX4wy9dPz" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ], + "metadata": { + "id": "wRyJyhbt9uUr" + } + }, + { + "cell_type": "code", + "source": [ + "# Start with an empty shopping list (list).\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "# 3. Print the third item using tuple indexing.\n", + "# TODO: your code here\n", + "shopping_list = []\n", + "shopping_list = input(\"Enter at least 4 items, separated by commas: \").split(',')\n", + "shopping_list = [item.strip() for item in shopping_list ]\n", + "if len(shopping_list) < 4:\n", + " print(\"Please enter at least 4 items.\")\n", + "else:\n", + " immutable_basket = tuple(shopping_list)\n", + " print(\"The third item is:\", immutable_basket[2])\n", + " print(\"2nd method => The third item is: \" + str(immutable_basket[2]))\n", + " print(f'3nd method => The third item is : {immutable_basket[2]}')\n", + "\n" + ], + "metadata": { + "id": "1J4jcLct9yVO", + "outputId": "5277ff56-0fb9-46dd-b66b-6853dac7a5ed", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Enter at least 4 items, separated by commas: ecec e e e \n", + "Please enter at least 4 items.\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Word Stats" + ], + "metadata": { + "id": "byKd8SFK9w2y" + } + }, + { + "cell_type": "code", + "source": [ + "sample = \"to be or not to be that is the question\"\n", + "\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "# TODO: your code here\n", + "unique_words = {}\n", + "word_counts = {}\n", + "text = input('input your words even identical with comma: ').split(' ')\n", + "\n", + "text = [item.strip() for item in text]\n", + "unique_words = set(text)\n", + "for item in text:\n", + " if item in word_counts:\n", + " word_counts[item] += 1\n", + " else:\n", + " word_counts[item] = 1\n", + "\n", + "print(\"Unique Words:\", unique_words)\n", + "print(\"Word Counts:\", word_counts)\n" + ], + "metadata": { + "id": "4rLrxkPj90p3", + "outputId": "3a51bf7d-abc5-4f56-acd0-da665d6a3a26", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "input your words even identical with comma: a, b, c, a, a, b, c, d, f\n", + "Unique Words: {'d,', 'b,', 'c,', 'f', 'a,'}\n", + "Word Counts: {'a,': 3, 'b,': 2, 'c,': 2, 'd,': 1, 'f': 1}\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ], + "metadata": { + "id": "gbGMbtLf94M4" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Prime Tester" + ], + "metadata": { + "id": "QOsToPh2-AnZ" + } + }, + { + "cell_type": "code", + "source": [ + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " # TODO: replace pass with your implementation\n", + " if n <=1:\n", + " return False\n", + "\n", + " for i in range(2,n):\n", + " if n % i == 0:\n", + " return False\n", + " return True\n", + "\n", + "# Quick self-check\n", + "print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n" + ], + "metadata": { + "id": "_pCU2mIH-DAi", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "57c41bac-21c9-46e8-e4ed-5aaabbf96881" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[2, 3, 5, 7]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Repeater Greeter" + ], + "metadata": { + "id": "TBGXIzVV-E5u" + } + }, + { + "cell_type": "code", + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + " # TODO: your code here\n", + " if times ==1:\n", + " print(name.capitalize())\n", + " else:\n", + " for i in range(times):\n", + " print(name.capitalize(), end=\" \")\n", + "\n", + "\n", + "greet(\"alice\") # Alice\n", + "greet(\"bob\", times=3) # Bob Bob Bob\n" + ], + "metadata": { + "id": "ycvsNyqh-GRM", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "69a59b85-7795-4ee9-9cf4-9dbd8dfc7bed" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Alice\n", + "Bob Bob Bob " + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ], + "metadata": { + "id": "y7K-GaBC-ImE" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Simple Counter" + ], + "metadata": { + "id": "NgKjsy8A-N3l" + } + }, + { + "cell_type": "code", + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " # TODO:\n", + " # 1. In __init__, store an internal count variable starting at 0.\n", + " # 2. Method increment(step: int = 1) adds `step` to the count.\n", + " # 3. Method value() returns the current count.\n", + " def __init__(self):\n", + " self._count = 0\n", + "\n", + " def increment(self, step: int = 1):\n", + " self._count += step\n", + " def value(self):\n", + " return self._count\n", + "\n", + "\n", + "c = Counter()\n", + "for _ in range(5):\n", + " c.increment()\n", + "print(c.value()) # Expected: 5\n" + ], + "metadata": { + "id": "dPFvr_fe-OPR", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "870d76cc-0e82-43db-f482-cb3333cfd363" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "5\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — 2-D Point with Distance" + ], + "metadata": { + "id": "U99aupan-Q8u" + } + }, + { + "cell_type": "code", + "source": [ + "import math\n", + "\n", + "class Point:\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + " # TODO:\n", + " # 1. Store x and y as attributes.\n", + " # 2. Implement distance_to(other) using the Euclidean formula.\n", + "\n", + " def __init__(self, x, y):\n", + " self.x = x\n", + " self.y = y # 1. ذخیره x و y\n", + "\n", + " def distance_to(self, other):\n", + " dx = self.x - other.x\n", + " dy = self.y - other.y\n", + " return math.sqrt(dx**2 + dy**2)\n", + "\n", + "\n", + "\n", + "# Smoke test\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "assert round(p.distance_to(q), 1) == 5.0\n" + ], + "metadata": { + "id": "OVh3GEzH-T0w" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.1/assignment01_ftmhhosseini.ipynb b/a0.1/a0.1/assignment01_ftmhhosseini.ipynb new file mode 100644 index 0000000..65510ff --- /dev/null +++ b/a0.1/a0.1/assignment01_ftmhhosseini.ipynb @@ -0,0 +1,397 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "ZS5lje_18xC2" + }, + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u5vvtK-6840I" + }, + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UyNHtkGm9OgH" + }, + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "lmaiboJe8E15" + }, + "outputs": [], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "\n", + "Celsius = float(input(\"Enter the temperature : \"))\n", + "Fahrenheit = (Celsius) * 9/5 + 32\n", + "print(\"(%.2f)°c is equal to (%.2f)°f\" % (Celsius,Fahrenheit))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BtsB8QKM9Xs_" + }, + "source": [ + "### Task 2 — Tiny Calculator\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "DSR8aS-F9Z10" + }, + "outputs": [], + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "\n", + "NumInt = 77\n", + "NumFloat = 3.4\n", + "print(\"sum : \" , NumInt + NumFloat)\n", + "print(\"difference : \" , NumInt - NumFloat)\n", + "print(\"product : \" , NumInt * NumFloat)\n", + "print(\"true division : \" , NumInt / NumFloat)\n", + "print(\"true division : \" , NumInt // NumFloat)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8JjHX4wy9dPz" + }, + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wRyJyhbt9uUr" + }, + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "1J4jcLct9yVO" + }, + "outputs": [], + "source": [ + "# Start with an empty shopping list (list).\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "# 3. Print the third item using tuple indexing.\n", + "\n", + "shopping_list = []\n", + "\n", + "while True:\n", + " items = input(\"Enter the names of four products separated by commas: \")\n", + " split_items = [item.strip() for item in items.split(\",\") if item.strip()]\n", + "\n", + " if len(split_items) >= 4:\n", + " shopping_list.extend(split_items)\n", + " break\n", + " else:\n", + " print(f\"You entered only {len(split_items)} valid item(s). Please try again.\\n\")\n", + "\n", + "immutable_basket = tuple(shopping_list)\n", + "print(f\"The third item is {immutable_basket[2]}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "byKd8SFK9w2y" + }, + "source": [ + "### Task 2 — Word Stats" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "4rLrxkPj90p3" + }, + "outputs": [], + "source": [ + "sample = \"to be or not to be that is the question\"\n", + "\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "\n", + "words = sample.split()\n", + "unique_words = set(words)\n", + "word_counts = {}\n", + "for word in words:\n", + " word_counts[word] = word_counts.get(word, 0) + 1\n", + "\n", + "print(\"Unique words (set):\", unique_words)\n", + "print(\"Word counts (dict):\", word_counts)\n", + "\n", + "# set فقط لیست کلمات بدون تکرار را نگه می‌دارد\n", + "# dict هر کلمه را به تعداد دفعات تکرارش در متن می نویسد" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gbGMbtLf94M4" + }, + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QOsToPh2-AnZ" + }, + "source": [ + "### Task 1 — Prime Tester" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "_pCU2mIH-DAi" + }, + "outputs": [], + "source": [ + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " if n < 2:\n", + " return False\n", + "\n", + " for i in range(2, int(n ** 0.5) + 1):\n", + " if n % i == 0:\n", + " return False\n", + "\n", + "\n", + "# Quick self-check\n", + "print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "TBGXIzVV-E5u" + }, + "source": [ + "### Task 2 — Repeater Greeter" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "outputs": [], + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + "\n", + " print(\" \".join([name.capitalize()] * times))\n", + "\n", + "\n", + "greet(\"alice\") # Alice\n", + "greet(\"bob\", times=3) # Bob Bob Bob\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "y7K-GaBC-ImE" + }, + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NgKjsy8A-N3l" + }, + "source": [ + "### Task 1 — Simple Counter" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "dPFvr_fe-OPR" + }, + "outputs": [], + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " # TODO:\n", + " def __init__(self):\n", + " self.count = 0\n", + "\n", + " def increment(self, step: int = 1):\n", + " self.count += step\n", + "\n", + " def value(self):\n", + " return self.count\n", + " # 1. In __init__, store an internal count variable starting at 0.\n", + " # 2. Method increment(step: int = 1) adds `step` to the count.\n", + " # 3. Method value() returns the current count.\n", + "\n", + "\n", + "c = Counter()\n", + "for _ in range(5):\n", + " c.increment()\n", + "print(c.value()) # Expected: 5\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "U99aupan-Q8u" + }, + "source": [ + "### Task 2 — 2-D Point with Distance" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "OVh3GEzH-T0w" + }, + "outputs": [], + "source": [ + "import math\n", + "\n", + "class Point:\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + " # TODO:\n", + " # 1. Store x and y as attributes.\n", + " # 2. Implement distance_to(other) using the Euclidean formula.\n", + "\n", + "\n", + " def __init__(self, x, y):\n", + " self.x = x\n", + " self.y = y\n", + "\n", + " def distance_to(self, other):\n", + " dx = other.x - self.x\n", + " dy = other.y - self.y\n", + "\n", + " return math.sqrt(dx**2 + dy**2)\n", + "\n", + "\n", + "# تست:\n", + "p = Point(3, 4)\n", + "q = Point(0, 0)\n", + "print(p.distance_to(q)) # خروجی: 5.0\n", + "\n", + "\n", + "\n", + "# Smoke test\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "assert round(p.distance_to(q), 1) == 5.0\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.2/AI-DS_Nexus__A0_2_Amirhossein_Zandi_8fca80.ipynb b/a0.1/a0.2/AI-DS_Nexus__A0_2_Amirhossein_Zandi_8fca80.ipynb new file mode 100644 index 0000000..d2ae9d4 --- /dev/null +++ b/a0.1/a0.2/AI-DS_Nexus__A0_2_Amirhossein_Zandi_8fca80.ipynb @@ -0,0 +1,486 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "ZS5lje_18xC2" + }, + "source": [ + "# 📚 Assignment 2 — NumPy, pandas & Matplotlib Essentials\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "\n", + "------------------------------------------------\n", + "\n", + "\n", + "Welcome to your first data-science sprint! In this three-part mini-project you’ll touch the libraries every ML practitioner leans on daily:\n", + "\n", + "1. NumPy — fast n-dimensional arrays\n", + "\n", + "2. pandas — tabular data wrangling\n", + "\n", + "3. Matplotlib — quick, customizable plots\n", + "\n", + "Each part starts with “Quick-start notes”, then gives you two bite-sized tasks. Replace every # TODO with working Python in a notebook or script, run it, and check your results. Happy hacking! 😊\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u5vvtK-6840I" + }, + "source": [ + "## 1 · NumPy 🧮\n", + "Quick-start notes\n", + "Core object: ndarray (n-dimensional array)\n", + "\n", + "Create data: np.array, np.arange, np.random.*\n", + "\n", + "Summaries: mean, std, sum, max, …\n", + "\n", + "Vectorised math beats Python loops for speed\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UyNHtkGm9OgH" + }, + "source": [ + "### Task 1 — Mock temperatures\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "lmaiboJe8E15" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([19.79434 , 17.10966406, 21.71624745, 22.39088381, 10.86706725,\n", + " 21.43571429, 17.26483258, 19.87588679, 21.38300459, 18.16201794,\n", + " 22.8468564 , 23.20924633, 23.93925216, 17.71732008, 19.51114136,\n", + " 13.04321414, 15.54167372, 11.72105048, 23.4083288 , 19.70735418,\n", + " 14.9150078 , 15.92267663, 19.04137697, 22.45088307, 20.1460248 ,\n", + " 17.8969062 , 24.40589568, 26.65093433, 24.55630809, 20.54845312,\n", + " 28.99320603, 5.12785735, 19.281834 , 28.01074369, 22.9527796 ,\n", + " 27.39796322, 19.43814589, 12.64098496, 23.95628719, 16.19764321,\n", + " 22.28708897, 23.92903437, 14.4878666 , 10.86650586, 14.26243779,\n", + " 10.54076093, 25.10051276, 23.52019564, 22.42076508, 15.11059543,\n", + " 19.49543904, 18.63885663, 14.36509506, 25.50908676, 27.31182977,\n", + " 25.99722788, 24.18027837, 26.93000288, 14.24874187, 22.1248614 ,\n", + " 18.74921976, 15.06798838, 11.96315234, 19.39916124, 9.28253433,\n", + " 9.56750188, 14.3714417 , 15.88641009, 17.09222974, 18.90384821,\n", + " 21.0682228 , 13.85902634, 24.8101385 , 17.04198171, 11.2359977 ,\n", + " 14.94720503, 28.31755276, 16.44156221, 17.55188453, 27.63323438,\n", + " 15.34445682, 18.10569161, 20.06920139, 16.96112747, 15.25852076,\n", + " 15.78112858, 14.09045545, 18.36050723, 22.61602043, 18.93259286,\n", + " 21.29149297, 10.05080475, 19.65150108, 22.09338918, 16.34652034,\n", + " 19.02900346, 14.55455273, 23.59069848, 17.33070888, 26.67568891,\n", + " 22.28267803, 16.44535066, 13.24626548, 25.03232228, 13.99090405,\n", + " 28.72393643, 15.32491353, 26.19313527, 26.67340139, 18.60938485,\n", + " 28.52200278, 19.80431263, 16.56185564, 20.47382795, 17.58183732,\n", + " 22.18966171, 20.70147918, 18.35292196, 19.59825116, 21.32436002,\n", + " 10.49614704, 14.58671652, 17.02327347, 18.58303289, 11.68979874,\n", + " 14.66434475, 23.71782773, 17.54185087, 17.53864868, 19.13132448,\n", + " 17.59234147, 20.14397903, 22.62648612, 23.87397482, 11.48096616,\n", + " 22.00465872, 26.49464834, 19.75664451, 15.21325891, 18.530134 ,\n", + " 14.28539617, 12.76055571, 16.21763631, 16.45636527, 11.18733501,\n", + " 19.83222491, 14.41462459, 12.7721551 , 16.12545439, 21.38725148,\n", + " 17.72488021, 26.92710066, 11.20765256, 19.74111019, 23.92250694,\n", + " 15.99350298, 16.76819198, 17.23619426, 15.32639066, 24.86583426,\n", + " 20.94816956, 20.59159995, 22.13934287, 24.85981377, 16.30928829,\n", + " 26.11215039, 26.72292579, 19.47565253, 11.25194708, 17.83246974,\n", + " 11.98596613, 12.76269445, 18.09168769, 14.67427135, 16.96957932,\n", + " 18.10825342, 13.18237341, 20.94135683, 14.42210507, 21.34581698,\n", + " 16.24196393, 15.52726483, 21.32020149, 18.99039922, 3.19983246,\n", + " 27.2897614 , 13.70939596, 20.34854257, 22.2310421 , 17.45825371,\n", + " 11.48880104, 20.28312756, 23.837151 , 12.44688414, 23.01233687,\n", + " 12.45511373, 19.95334188, 25.22154634, 15.66137156, 18.91506633,\n", + " 19.34607067, 16.99565703, 23.79402952, 20.19091707, 15.89420693,\n", + " 10.71195218, 20.87521657, 15.41063537, 13.74602048, 27.00886612,\n", + " 29.81808238, 22.2852545 , 14.49895485, 17.97221186, 27.72603805,\n", + " 25.49089525, 17.24238913, 17.16863332, 20.10984126, 16.82679208,\n", + " 16.932259 , 24.91464926, 18.88647126, 16.53510736, 14.30605148,\n", + " 25.40566528, 11.47347796, 17.57053512, 18.25843103, 29.59678153,\n", + " 22.79198978, 15.77014714, 30.96422839, 21.41010221, 9.13447873,\n", + " 24.71397068, 21.04236814, 26.28059598, 25.13020323, 22.08892121,\n", + " 21.52399111, 30.79092073, 19.9251205 , 19.6892921 , 12.16743395,\n", + " 13.80298077, 28.36773983, 22.38571494, 26.49135171, 19.08246313,\n", + " 21.49413038, 25.96682714, 30.7722924 , 23.22189116, 13.45133664,\n", + " 26.3085593 , 22.59595791, 11.77249288, 18.25335027, 16.12087896,\n", + " 27.78247721, 23.31285255, 19.23132957, 21.39210677, 12.87713513,\n", + " 25.74818872, 19.32739317, 17.12565515, 18.62210832, 30.22214181,\n", + " 17.45742474, 34.35415342, 20.81219305, 21.3408855 , 23.42662383,\n", + " 14.59902624, 25.1639105 , 17.7534784 , 19.83522366, 24.15410788,\n", + " 21.86619367, 14.34023056, 28.14668391, 20.01673657, 27.63571504,\n", + " 25.03557178, 17.2041235 , 28.95909002, 14.52286751, 14.58699202,\n", + " 16.45777707, 22.96034039, 21.01914105, 14.97034636, 23.00115585,\n", + " 20.71560756, 19.95409218, 17.24193871, 19.54686801, 18.9351969 ,\n", + " 27.3179232 , 23.73666834, 18.62913022, 21.70441791, 20.32817685,\n", + " 31.43760635, 19.68736731, 23.93667877, 16.91570368, 17.38560739,\n", + " 31.93543669, 27.72026898, 27.76722692, 25.55733276, 22.83241392,\n", + " 15.60253105, 22.885565 , 9.211007 , 9.69205026, 15.74206812,\n", + " 19.55595844, 14.80844494, 22.7767592 , 18.19918521, 20.96985581,\n", + " 22.35869334, 22.92588533, 17.70051188, 19.86105886, 14.20911854,\n", + " 20.74755516, 20.50212714, 21.03391035, 24.30858174, 16.31851189,\n", + " 17.22569743, 16.94213216, 26.71507427, 19.69690057, 19.46198816,\n", + " 17.12504053, 16.22517244, 27.83544059, 20.14758376, 18.63261055,\n", + " 14.26587491, 22.62875608, 9.94143625, 24.1457409 , 15.73437495,\n", + " 16.84339066, 23.03074964, 25.83702666, 20.4596671 , 23.26448506,\n", + " 22.17346256, 22.81831206, 19.03229237, 19.18973858, 24.8956509 ,\n", + " 21.95449783, 22.87747275, 26.50233954, 17.93368775, 26.70552348])" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# 👉 # TODO: import numpy and create an array of 365\n", + "# normally-distributed °C values (µ=20, σ=5) called temps\n", + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "\n", + "temps = np.random.normal(loc=20 , scale=5 , size=365)\n", + "temps\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BtsB8QKM9Xs_" + }, + "source": [ + "### Task 2 — Average temperature\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "DSR8aS-F9Z10" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "19.64\n" + ] + } + ], + "source": [ + "# 👉 # TODO: print the mean of temps\n", + "\n", + "mean_temps = np.mean(temps)\n", + "mean_temps = round(mean_temps , 2)\n", + "print(mean_temps)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8JjHX4wy9dPz" + }, + "source": [ + "## 2 · pandas 📊\n", + "Quick-start notes\n", + "Main structures: DataFrame, Series\n", + "\n", + "Read data: pd.read_csv, pd.read_excel, …\n", + "\n", + "Selection: .loc[label], .iloc[pos]\n", + "\n", + "Group & summarise: .groupby(...).agg(...)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wRyJyhbt9uUr" + }, + "source": [ + "### Task 3 — Load ride log\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "1J4jcLct9yVO" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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    datetempridesweekday
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    " + ], + "text/plain": [ + " date temp rides weekday\n", + "0 2024-01-01 13.3 141 Monday\n", + "1 2024-01-02 18.4 174 Tuesday\n", + "2 2024-01-03 25.3 256 Wednesday\n", + "3 2024-01-04 19.5 188 Thursday\n", + "4 2024-01-05 25.6 234 Friday\n", + ".. ... ... ... ...\n", + "360 2024-12-26 20.0 166 Thursday\n", + "361 2024-12-27 24.6 275 Friday\n", + "362 2024-12-28 16.1 171 Saturday\n", + "363 2024-12-29 18.3 216 Sunday\n", + "364 2024-12-30 20.6 213 Monday\n", + "\n", + "[365 rows x 4 columns]" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# 👉 # TODO: read \"rides.csv\" into df\n", + "# (columns: date,temp,rides,weekday)\n", + "\n", + "df = pd.read_csv(\"../datasets/rides.csv\")\n", + "df" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "byKd8SFK9w2y" + }, + "source": [ + "### Task 4 — Weekday averages" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "4rLrxkPj90p3" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "weekday\n", + "Friday 195.942308\n", + "Monday 196.830189\n", + "Saturday 188.884615\n", + "Sunday 203.134615\n", + "Thursday 206.403846\n", + "Tuesday 201.461538\n", + "Wednesday 210.576923\n", + "Name: rides, dtype: float64" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# 👉 # TODO: compute and print mean rides per weekday\n", + "\n", + "mean_rides = df.groupby(\"weekday\")[\"rides\"].mean()\n", + "mean_rides" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gbGMbtLf94M4" + }, + "source": [ + "## 3 · Matplotlib 📈\n", + "Quick-start notes\n", + "Workhorse: pyplot interface (import matplotlib.pyplot as plt)\n", + "\n", + "Figure & axes: fig, ax = plt.subplots()\n", + "\n", + "Common plots: plot, scatter, hist, imshow\n", + "\n", + "Display inline in Jupyter with %matplotlib inline or %matplotlib notebook" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QOsToPh2-AnZ" + }, + "source": [ + "### Task 5 — Scatter plot" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "_pCU2mIH-DAi" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 👉 # TODO: scatter-plot temperature (x) vs rides (y) from df\n", + "\n", + "plt.scatter(df[\"temp\"] , df[\"rides\"])\n", + "plt.xlabel(\"temperature\")\n", + "plt.ylabel(\"rides\")\n", + "plt.show()" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.2/AI-DS_Nexus__A0_2_Javid_Mohammadi_a60d6f.ipynb b/a0.1/a0.2/AI-DS_Nexus__A0_2_Javid_Mohammadi_a60d6f.ipynb new file mode 100644 index 0000000..2627ced --- /dev/null +++ b/a0.1/a0.2/AI-DS_Nexus__A0_2_Javid_Mohammadi_a60d6f.ipynb @@ -0,0 +1,781 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 2 — NumPy, pandas & Matplotlib Essentials\n", + "Welcome to your first data-science sprint! In this three-part mini-project you’ll touch the libraries every ML practitioner leans on daily:\n", + "\n", + "1. NumPy — fast n-dimensional arrays\n", + "\n", + "2. pandas — tabular data wrangling\n", + "\n", + "3. Matplotlib — quick, customizable plots\n", + "\n", + "Each part starts with “Quick-start notes”, then gives you two bite-sized tasks. Replace every # TODO with working Python in a notebook or script, run it, and check your results. Happy hacking! 😊\n" + ], + "metadata": { + "id": "ZS5lje_18xC2" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1 · NumPy 🧮\n", + "Quick-start notes\n", + "Core object: ndarray (n-dimensional array)\n", + "\n", + "Create data: np.array, np.arange, np.random.*\n", + "\n", + "Summaries: mean, std, sum, max, …\n", + "\n", + "Vectorised math beats Python loops for speed\n", + "\n" + ], + "metadata": { + "id": "u5vvtK-6840I" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Mock temperatures\n", + "\n" + ], + "metadata": { + "id": "UyNHtkGm9OgH" + } + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": { + "id": "lmaiboJe8E15" + }, + "outputs": [], + "source": [ + "# 👉 # TODO: import numpy and create an array of 365\n", + "# normally-distributed °C values (µ=20, σ=5) called temps\n", + "import numpy as np\n", + "mean = 20\n", + "std = 5\n", + "temps = np.random.normal(loc=mean, scale=std, size=365)\n", + "#temps.shape" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Average temperature\n" + ], + "metadata": { + "id": "BtsB8QKM9Xs_" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: print the mean of temps\n", + "print(np.mean(temps))" + ], + "metadata": { + "id": "DSR8aS-F9Z10", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "aa447a9a-0963-407c-e84e-8c023d7b2924" + }, + "execution_count": 62, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "20.186113405910568\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2 · pandas 📊\n", + "Quick-start notes\n", + "Main structures: DataFrame, Series\n", + "\n", + "Read data: pd.read_csv, pd.read_excel, …\n", + "\n", + "Selection: .loc[label], .iloc[pos]\n", + "\n", + "Group & summarise: .groupby(...).agg(...)\n", + "\n" + ], + "metadata": { + "id": "8JjHX4wy9dPz" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 3 — Load ride log\n" + ], + "metadata": { + "id": "wRyJyhbt9uUr" + } + }, + { + "cell_type": "markdown", + "source": [ + "####Create a sample 'rides.csv' \"EXTRA\"" + ], + "metadata": { + "id": "dTCqJ8EAA-CY" + } + }, + { + "cell_type": "markdown", + "source": [ + "######Generating random dates:" + ], + "metadata": { + "id": "wldZnTXaBony" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "\n", + "def format_date(year, month, day):\n", + " return f\"{year:04d}-{month:02d}-{day:02d}\"\n", + "\n", + "max_size = 100\n", + "day = np.random.randint(1, 29, max_size)\n", + "month = np.random.randint(1, 13, max_size)\n", + "year = np.random.randint(1998, 2026, max_size)" + ], + "metadata": { + "id": "8j4-P8QK7Dih" + }, + "execution_count": 4, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "date = []\n", + "for i in range(max_size):\n", + " date.append(format_date(year[i], month[i], day[i]))\n", + "date_final = np.array(date)" + ], + "metadata": { + "id": "QVKua_no8WKz" + }, + "execution_count": 5, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "######Generating random temprature:" + ], + "metadata": { + "id": "16CrRUdpBujH" + } + }, + { + "cell_type": "code", + "source": [ + "temp = np.random.normal(loc=20, scale=5, size=max_size)\n", + "temp_final = np.round(temp, 1)" + ], + "metadata": { + "id": "79hwOgBx_kPy" + }, + "execution_count": 6, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "######Generating random rides:" + ], + "metadata": { + "id": "2G71MEqcBzfK" + } + }, + { + "cell_type": "code", + "source": [ + "ride_final = np.random.randint(100, 300, max_size)" + ], + "metadata": { + "id": "7QBBMBSBB3B0" + }, + "execution_count": 7, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "######Generating random weekday:" + ], + "metadata": { + "id": "Y9_lqD5BB3lA" + } + }, + { + "cell_type": "code", + "source": [ + "weekday = ['Sunday', 'Monday', 'Tuesday', 'Wednesday', 'Thursday', 'Friday', 'Saturday']\n", + "weekday_ls = []\n", + "\n", + "index = np.random.randint(0, 7, max_size)\n", + "for i in index:\n", + " weekday_ls.append(weekday[i])\n", + "\n", + "weekday_final = np.array(weekday_ls)" + ], + "metadata": { + "id": "9kRiDomR_z7L" + }, + "execution_count": 8, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "###### Creating csv:" + ], + "metadata": { + "id": "QFJUmAFoENzV" + } + }, + { + "cell_type": "code", + "source": [ + "import pandas as pd\n", + "df = pd.DataFrame()\n", + "\n", + "df['date'] = date_final\n", + "df['temp'] = temp_final\n", + "df['rides'] = ride_final\n", + "df['weekday'] = weekday_final" + ], + "metadata": { + "id": "tED86gwAEVMs" + }, + "execution_count": 9, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "df.to_csv('rides.csv', index = False)" + ], + "metadata": { + "id": "xzA2EvaOF_iQ" + }, + "execution_count": 10, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "####TODO exercise" + ], + "metadata": { + "id": "OYE5ILBRBGC6" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: read \"rides.csv\" into df\n", + "# (columns: date,temp,rides,weekday)\n", + "import pandas as pd\n", + "df = pd.read_csv(\"rides.csv\")\n", + "df.columns" + ], + "metadata": { + "id": "1J4jcLct9yVO", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "ef16a650-47e1-4585-ea5a-a22e4cc03110" + }, + "execution_count": 32, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Index(['date', 'temp', 'rides', 'weekday'], dtype='object')" + ] + }, + "metadata": {}, + "execution_count": 32 + } + ] + }, + { + "cell_type": "code", + "source": [ + "df.head()" + ], + "metadata": { + "id": "AMC-EFVMKQKD", + "outputId": "598b8d64-cc2a-4576-ca12-d17c70645e07", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 206 + } + }, + "execution_count": 33, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " date temp rides weekday\n", + "0 2016-08-04 23.0 292 Friday\n", + "1 2021-06-11 24.2 278 Sunday\n", + "2 2003-10-16 15.2 233 Tuesday\n", + "3 2014-07-28 14.7 291 Saturday\n", + "4 2021-12-26 23.8 200 Saturday" + ], + "text/html": [ + "\n", + "
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    \n" + ], + "application/vnd.google.colaboratory.intrinsic+json": { + "type": "dataframe", + "variable_name": "df", + "summary": "{\n \"name\": \"df\",\n \"rows\": 100,\n \"fields\": [\n {\n \"column\": \"date\",\n \"properties\": {\n \"dtype\": \"object\",\n \"num_unique_values\": 99,\n \"samples\": [\n \"2008-06-21\",\n \"2008-03-23\",\n \"2017-09-28\"\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"temp\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 5.198053637291713,\n \"min\": 8.8,\n \"max\": 33.8,\n \"num_unique_values\": 77,\n \"samples\": [\n 23.8,\n 13.9,\n 21.5\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"rides\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 59,\n \"min\": 102,\n \"max\": 299,\n \"num_unique_values\": 81,\n \"samples\": [\n 157,\n 292,\n 191\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"weekday\",\n \"properties\": {\n \"dtype\": \"category\",\n \"num_unique_values\": 7,\n \"samples\": [\n \"Friday\",\n \"Sunday\",\n \"Monday\"\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n }\n ]\n}" + } + }, + "metadata": {}, + "execution_count": 33 + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 4 — Weekday averages" + ], + "metadata": { + "id": "byKd8SFK9w2y" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: compute and print mean rides per weekday\n", + "print(df.groupby('weekday')['rides'].mean())" + ], + "metadata": { + "id": "4rLrxkPj90p3", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "4bdefce4-532e-4e44-e5f0-6886e65b623d" + }, + "execution_count": 37, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "weekday\n", + "Friday 209.200000\n", + "Monday 215.666667\n", + "Saturday 198.750000\n", + "Sunday 202.434783\n", + "Thursday 186.000000\n", + "Tuesday 190.785714\n", + "Wednesday 213.714286\n", + "Name: rides, dtype: float64\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 3 · Matplotlib 📈\n", + "Quick-start notes\n", + "Workhorse: pyplot interface (import matplotlib.pyplot as plt)\n", + "\n", + "Figure & axes: fig, ax = plt.subplots()\n", + "\n", + "Common plots: plot, scatter, hist, imshow\n", + "\n", + "Display inline in Jupyter with %matplotlib inline or %matplotlib notebook" + ], + "metadata": { + "id": "gbGMbtLf94M4" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 5 — Scatter plot" + ], + "metadata": { + "id": "QOsToPh2-AnZ" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: scatter-plot temperature (x) vs rides (y) from df\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "\n", + "df = pd.read_csv(\"rides.csv\")\n", + "\n", + "plt.figure(figsize = (8, 6))\n", + "plt.scatter(df['temp'], df['rides'], alpha = 0.7)\n", + "plt.title('Tempreture vs Rides')\n", + "plt.xlabel('Tempreture (Celcius)')\n", + "plt.ylabel('Number of rides')\n", + "plt.grid(True)\n", + "plt.tight_layout()\n", + "plt.show()" + ], + "metadata": { + "id": "_pCU2mIH-DAi", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 607 + }, + "outputId": "e1f3b4c1-dc77-45db-8a90-16d3ccc09cdf" + }, + "execution_count": 59, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 6 — Show the figure\n", + "\n" + ], + "metadata": { + "id": "TBGXIzVV-E5u" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: call plt.show() so the plot appears\n", + "\n", + "#Summary from ChatGPT:\n", + "# In Colab, each cell’s output is independent.\n", + "# You can’t create a plot in one cell and call plt.show() in a separate cell to display it.\n", + "# Always create and show the plot in the same cell for plt.show() to work properly." + ], + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "execution_count": 60, + "outputs": [] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.2/AI-DS_Nexus__A0_2_Project__RezaShokr.ipynb b/a0.1/a0.2/AI-DS_Nexus__A0_2_Project__RezaShokr.ipynb new file mode 100644 index 0000000..2f9de70 --- /dev/null +++ b/a0.1/a0.2/AI-DS_Nexus__A0_2_Project__RezaShokr.ipynb @@ -0,0 +1,508 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "ZS5lje_18xC2" + }, + "source": [ + "# 📚 Assignment 2 — NumPy, pandas & Matplotlib Essentials\n", + "Welcome to your first data-science sprint! In this three-part mini-project you’ll touch the libraries every ML practitioner leans on daily:\n", + "\n", + "1. NumPy — fast n-dimensional arrays\n", + "\n", + "2. pandas — tabular data wrangling\n", + "\n", + "3. Matplotlib — quick, customizable plots\n", + "\n", + "Each part starts with “Quick-start notes”, then gives you two bite-sized tasks. Replace every # TODO with working Python in a notebook or script, run it, and check your results. Happy hacking! 😊\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u5vvtK-6840I" + }, + "source": [ + "## 1 · NumPy 🧮\n", + "Quick-start notes\n", + "Core object: ndarray (n-dimensional array)\n", + "\n", + "Create data: np.array, np.arange, np.random.*\n", + "\n", + "Summaries: mean, std, sum, max, …\n", + "\n", + "Vectorised math beats Python loops for speed\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UyNHtkGm9OgH" + }, + "source": [ + "### Task 1 — Mock temperatures\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "lmaiboJe8E15" + }, + "outputs": [ + { + "data": { + "image/png": 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    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 👉 # TODO: import numpy and create an array of 365\n", + "# normally-distributed °C values (µ=20, σ=5) called temps\n", + "\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt \n", + "temps = np.random.normal(loc=20 , scale=5 , size=365)\n", + "\n", + "# رسم هیستوگرام\n", + "plt.hist(temps, bins=30 , edgecolor='black', density=True)\n", + "\n", + "# رسم منحنی چگالی احتمال روی هیستوگرام\n", + "from scipy.stats import norm\n", + "xmin, xmax = plt.xlim()\n", + "x = np.linspace(xmin, xmax, 100)\n", + "\n", + "p = norm.pdf(x, np.mean(temps), np.std(temps)) #pdf\n", + "plt.plot(x, p, 'r', linewidth=2)\n", + "\n", + "# تنظیمات نمودار\n", + "plt.title(\"Normal distribution yearly\")\n", + "plt.xlabel(\"temp of daily\")\n", + "plt.ylabel(\"Probability density\")\n", + "\n", + "plt.grid(True)\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BtsB8QKM9Xs_" + }, + "source": [ + "### Task 2 — Average temperature\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "DSR8aS-F9Z10" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "float64\n", + "19.81\n" + ] + } + ], + "source": [ + "# 👉 # TODO: print the mean of temps\n", + "temps_mean = round((np.mean(temps)) , 2 )\n", + "\n", + "print(temps_mean.dtype)\n", + "print(temps_mean)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8JjHX4wy9dPz" + }, + "source": [ + "## 2 · pandas 📊\n", + "Quick-start notes\n", + "Main structures: DataFrame, Series\n", + "\n", + "Read data: pd.read_csv, pd.read_excel, …\n", + "\n", + "Selection: .loc[label], .iloc[pos]\n", + "\n", + "Group & summarise: .groupby(...).agg(...)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wRyJyhbt9uUr" + }, + "source": [ + "### Task 3 — Load ride log\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "id": "1J4jcLct9yVO" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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    datetempridesweekday
    02024-01-0113.3141Monday
    12024-01-0218.4174Tuesday
    22024-01-0325.3256Wednesday
    32024-01-0419.5188Thursday
    42024-01-0525.6234Friday
    52024-01-0624.4253Saturday
    62024-01-0728.6297Sunday
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    " + ], + "text/plain": [ + " date temp rides weekday\n", + "0 2024-01-01 13.3 141 Monday\n", + "1 2024-01-02 18.4 174 Tuesday\n", + "2 2024-01-03 25.3 256 Wednesday\n", + "3 2024-01-04 19.5 188 Thursday\n", + "4 2024-01-05 25.6 234 Friday\n", + "5 2024-01-06 24.4 253 Saturday\n", + "6 2024-01-07 28.6 297 Sunday" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# 👉 # TODO: read \"rides.csv\" into df\n", + "# (columns: date,temp,rides,weekday)\n", + "import pandas as pd \n", + "df = pd.read_csv(\"rides.csv\")\n", + "df.head(7)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "byKd8SFK9w2y" + }, + "source": [ + "### Task 4 — Weekday averages" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "id": "4rLrxkPj90p3" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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    weekdayrides
    0Friday195.942308
    1Monday196.830189
    2Saturday188.884615
    3Sunday203.134615
    4Thursday206.403846
    5Tuesday201.461538
    6Wednesday210.576923
    \n", + "
    " + ], + "text/plain": [ + " weekday rides\n", + "0 Friday 195.942308\n", + "1 Monday 196.830189\n", + "2 Saturday 188.884615\n", + "3 Sunday 203.134615\n", + "4 Thursday 206.403846\n", + "5 Tuesday 201.461538\n", + "6 Wednesday 210.576923" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# 👉 # TODO: compute and print mean rides per weekday\n", + "df_mean_weekday = df.groupby('weekday')[['rides']].mean().reset_index()\n", + "df_mean_weekday" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gbGMbtLf94M4" + }, + "source": [ + "## 3 · Matplotlib 📈\n", + "Quick-start notes\n", + "Workhorse: pyplot interface (import matplotlib.pyplot as plt)\n", + "\n", + "Figure & axes: fig, ax = plt.subplots()\n", + "\n", + "Common plots: plot, scatter, hist, imshow\n", + "\n", + "Display inline in Jupyter with %matplotlib inline or %matplotlib notebook" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QOsToPh2-AnZ" + }, + "source": [ + "### Task 5 — Scatter plot" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "id": "_pCU2mIH-DAi" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 👉 # TODO: scatter-plot temperature (x) vs rides (y) from df\n", + "import matplotlib.pyplot as plt \n", + "\n", + "x = df['temp']\n", + "y = df['rides']\n", + "\n", + "plt.scatter(x, y) \n", + "\n", + "plt.xlabel('Temperature (°C)')\n", + "plt.ylabel('Number of Rides')\n", + "plt.title('Temperature vs. Rides')\n", + "plt.grid(True)\n", + "\n", + "plt.show()\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "TBGXIzVV-E5u" + }, + "source": [ + "### Task 6 — Show the figure\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "outputs": [ + { + "data": { + "image/png": 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IQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaYQ9CEydOlKJFi0rWrFmlZs2asnHjxuseP2HCBCldurRky5ZNChUqJH369JGLFy+mWX0BAEDkCGsQmjdvnvTt21diY2Nl8+bNUrlyZWnSpIkcO3Ys4PEfffSRDBgwwBy/c+dO+eCDD8xzvPzyy2ledwAAkP6FNQiNHz9eunTpIp06dZJy5crJlClTJCYmRqZPnx7w+PXr10udOnWkbdu2phepcePG0qZNmxv2IgEAAAQSLWFy+fJl2bRpkwwcONBbljFjRmnYsKFs2LAh4GNq164t//jHP0zwqVGjhuzfv1+WLl0qTz/9dLKvc+nSJXPxOHPmjPl55coVc0H4eD5/2sEdaA/3oC3cg7Zwj1C1QdiC0IkTJyQhIUHy5cvnV663d+3aFfAx2hOkj6tbt644jiNXr16V55577rpDY6NGjZKhQ4cmKV+zZo3pfUL4rVixItxVgA/awz1oC/egLcLv/PnzkRWEbsbatWtl5MiRMmnSJDOxeu/evdKrVy8ZPny4vPLKKwEfoz1OOg/Jt0dIJ1k3aNBAcuXKlYa1R6B0r39cGjVqJJkyZQp3daxHe7gHbeEetIV7nDx5MrKCUO7cuSUqKkqOHj3qV6638+fPH/AxGnZ0GOyZZ54xtytWrCjnzp2Trl27yqBBg8zQWmJZsmQxl8T0F5pfanegLdyF9nAP2sI9aIvwC9XnH7bJ0pkzZ5Zq1arJqlWrvGXXrl0zt2vVqpVst1jisKNhSulQGQAAQLoZGtMhqw4dOkj16tXN5GfdI0h7eHQVmWrfvr0ULFjQzPNRzZs3NyvN7rvvPu/QmPYSabknEAEAAKSLINS6dWs5fvy4DBkyRI4cOSJVqlSRuLg47wTq+Ph4vx6gwYMHS4YMGczPX375RfLkyWNC0IgRI8L4LgAAQHoV9snSPXr0MJfkJkf7io6ONpsp6gUAACDdn2IDAAAgXAhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1rrlIHTmzBlZtGiR7Ny5Mzg1AgAAcGsQeuKJJ+Tdd9811y9cuCDVq1c3ZZUqVZJPP/00FHUEAABwRxBat26d1KtXz1xfuHChOI4jv//+u7z99tvy2muvhaKOAAAA7ghCp0+flpw5c5rrcXFx8uijj0pMTIw0a9ZMfvzxx1DUEQAAwB1BqFChQrJhwwY5d+6cCUKNGzc25adOnZKsWbOGoo4AAAAhEZ3aB/Tu3VvatWsn2bNnl8KFC8sDDzzgHTKrWLFiKOoIAADgjiDUrVs3qVGjhvz000/SqFEjyZjx/zqVihcvzhwhAAAQ2UFI6UoxXSV24MABKVGihERHR5s5QgAAABE9R+j8+fPSuXNnM0G6fPnyEh8fb8qff/55GT16dCjqCAAA4I4gNHDgQPnuu+9k7dq1fpOjGzZsKPPmzQt2/QAAANwzNKa7SGvguf/++yVDhgzecu0d2rdvX7DrBwAA4J4eoePHj0vevHmTlOtyet9gBAAAEHFBSCdKL1myxHvbE36mTZsmtWrVCm7tAAAA3DQ0NnLkSHn44Ydlx44dcvXqVXnrrbfM9fXr18sXX3wRmloCAAC4oUeobt26snXrVhOCdAPF5cuXm6Ey3W26WrVqoagjAACAe/YR0r2Dpk6dGvzaAAAAuK1H6MyZMym+pNbEiROlaNGiZil+zZo1ZePGjdc9Xs903717d7n77rslS5YsUqpUKVm6dGmqXxcAACBFPUJ33nlnileEJSQkpPjFdRl+3759ZcqUKSYETZgwQZo0aSK7d+8OuDLt8uXL5rQeet8nn3wiBQsWlEOHDpn6AQAAhCQIrVmzxnv94MGDMmDAAOnYsaN3lZjOD5o1a5aMGjUqVS8+fvx46dKli3Tq1Mnc1kCkK9KmT59uXiMxLf/tt9/MxOxMmTKZMu1NAgAACFkQql+/vvf6sGHDTIBp06aNt6xFixZm4vT7778vHTp0SNELa+/Opk2bzE7VHnoCV92hWoNVIJ999pkJXzo09s9//lPy5Mkjbdu2lf79+0tUVFTAx1y6dMlcPDzDd1euXDEXhI/n86cd3IH2cA/awj1oC/cIVRukerK0hhTtuQm0v9AzzzyT4uc5ceKEGUbLly+fX7ne3rVrV8DH7N+/X1avXi3t2rUz84L27t0r3bp1Mx9ObGxswMdoL9XQoUMD9nLp+dIQfitWrAh3FeCD9nAP2sI9aIvw03OduiIIFSpUyKwYGzNmjF+5bqio94XStWvXzPwg7XnSHiBdrv/LL7/IG2+8kWwQ0h4nnYfk2yOk9WzQoIHkypUrpPXF9WmA1T8uOu/LM9SJ8KE93IO2cA/awj1OnjzpjiD05ptvyqOPPiqff/65meCsdKXXjz/+KJ9++mmKnyd37twmzBw9etSvXG/nz58/4GN0pZj+IvoOg5UtW1aOHDlihtoyZ86c5DG6skwvienz8EvtDrSFu9Ae7kFbuAdtEX6h+vxTvaFi06ZNZc+ePdK8eXMzcVkvel3L9L6U0tCiPTqrVq3y6/HR28mdqqNOnTpmOEyP89DX1YAUKAQBAAAEfUNFHVrSU23cKh2y0snVOr+oRo0aZvm8nrzVs4qsffv2Zom8ZzXa//7v/8q7774rvXr1kueff970Qmk9evbsect1AQAA9klREPr++++lQoUKZlWXXr+eSpUqpfjFW7dubc5mP2TIEDO8VaVKFYmLi/NOoI6Pjzev6RvAli1bJn369DGvoyFJQ5GuGgMAAAhJENKAokFFJyrrdd1c0XGcJMdpeWo2VFQ9evQwl0DWrl2bpEyHzb755ptUvQYAAMBNB6EDBw6YPXs81wEAAKwJQkWKFAl4PbELFy4Ep1YAAABpINWrxgLRnZvHjRsnxYoVC8bTAQAAuCsIadjRzQl1hVft2rVl0aJFpnzGjBkmAOmKL53EDAAAEHHL53Vl13vvvWfOBaYnPX388cfNMneduKznHtPbyZ3vCwAAIF0Hofnz58uHH35oTrC6bds2s3z96tWr8t1335nVYgAAABE7NPbzzz+bnaCV7imkp63QoTBCEAAAiPggpPsD+Z7GIjo6WrJnzx6qegEAALhnaEw3UOzYsaP3BKYXL16U5557Tm677Ta/4xYsWBD8WgIAAIQzCOk5wXw99dRToagPAACA+4KQLpMHAACIJEHZUBEAACA9IggBAABrEYQAAIC1CEIAAMBaKQpCVatWlVOnTpnrw4YNk/Pnz4e6XgAAAO4IQjt37pRz586Z60OHDpU//vgj1PUCAABwx/L5KlWqmBOs1q1b12ysOHbs2GR3ldaTswIAAERMEJo5c6bExsbK4sWLzbnFPv/8c3OKjcT0PoIQAACIqCBUunRpmTt3rrmeMWNGWbVqleTNmzfUdQMAAHDHztIe165dC01NAAAA3B6E1L59+2TChAlmErUqV66c9OrVS0qUKBHs+gEAALhnH6Fly5aZ4LNx40apVKmSufz73/+W8uXLy4oVK0JTSwAAADf0CA0YMED69Okjo0ePTlLev39/adSoUTDrBwAA4J4eIR0O69y5c5Lyv/3tb7Jjx45g1QsAAMB9QShPnjyydevWJOVaxkoyAAAQ0UNjXbp0ka5du8r+/fuldu3apuzrr7+W119/Xfr27RuKOgIAALgjCL3yyity++23y7hx42TgwIGmrECBAvLqq69Kz549Q1FHAAAAdwQh3T1aJ0vr5ezZs6ZMgxEAAIAV+wh5EIAAAIBVk6UBAAAiBUEIAABYiyAEAACslaogdOXKFXnwwQflxx9/DF2NAAAA3BiEMmXKJN9//33oagMAAODmobGnnnpKPvjgg9DUBgAAwM3L569evSrTp0+XlStXSrVq1eS2227zu3/8+PHBrB8AAIB7gtC2bdukatWq5vqePXuSbLYIAAAQsUFozZo1oakJAABAelk+v3fvXlm2bJlcuHDB3HYcJ5j1AgAAcF8QOnnypFlCX6pUKWnatKkcPnzYlHfu3FleeOGFUNQRAADAHUFIT7aqy+jj4+MlJibGW966dWuJi4sLdv0AAADcM0do+fLlZkjsnnvu8Su/99575dChQ8GsGwAAgLt6hM6dO+fXE+Tx22+/SZYsWYJVLwAAAPcFoXr16smHH37ot2T+2rVrMmbMGGnQoEGw6wcAAOCeoTENPDpZ+ttvv5XLly9Lv379ZPv27aZH6Ouvvw5NLQEAANzQI1ShQgWzkWLdunWlZcuWZqjskUcekS1btkiJEiVCUUcAAAB39AipHDlyyKBBg4JfGwAAALcHoVOnTpkTr+7cudPcLleunHTq1Ely5swZ7PoBAAC4Z2hs3bp1UrRoUXn77bdNINKLXi9WrJi5DwAAIGJ7hLp37242T5w8ebJERUWZsoSEBOnWrZu574cffghFPQEAAMLfI6TnGNNTaXhCkNLrffv2NfcBAABEbBCqWrWqd26QLy2rXLlysOoFAADgjqGx77//3nu9Z8+e0qtXL9P7c//995uyb775RiZOnCijR48OXU0BAADCEYSqVKlidpB2HMdbphspJta2bVszfwgAACBigtCBAwdCXxMAAAA3BqEiRYqEviYAAADpYUPFX3/9Vb766is5duyYOeGqL51DBAAAEJFBaObMmfLss89K5syZJVeuXGbukIdeJwgBAICIDUKvvPKKDBkyRAYOHCgZM6Z69T0AAIBrpDrJnD9/Xp588klCEAAASPdSnWY6d+4s8+fPD01tAAAA3Dw0NmrUKPnrX/8qcXFxUrFiRcmUKZPf/ePHjw9m/QAAANzTI6RBaNmyZXL06FFzgtUtW7Z4L1u3br2pSuiu1HpG+6xZs0rNmjVl48aNKXrc3LlzzQTtVq1a3dTrAgAAu6W6R2jcuHEyffp06dixY1AqMG/ePHPC1ilTppgQNGHCBGnSpIns3r1b8ubNm+zjDh48KC+++KLUq1cvKPUAAAD2SXWPUJYsWaROnTpBq4AOpXXp0kU6deok5cqVM4EoJibGhK3kJCQkSLt27WTo0KFSvHjxoNUFAADYJdU9QnrC1XfeeUfefvvtW37xy5cvy6ZNm8xSfA9djdawYUPZsGFDso8bNmyY6S3SidtffvnldV/j0qVL5uJx5swZ8/PKlSvmgvDxfP60gzvQHu5BW7gHbeEeoWqDVAchnb+zevVqWbx4sZQvXz7JZOkFCxak+LlOnDhhenfy5cvnV663d+3aFfAxuqP1Bx98kOL5SDqnSXuOEluzZo3peUL4rVixItxVgA/awz1oC/egLcJPt+9xRRC688475ZFHHpFwOHv2rDz99NMydepUyZ07d4oeo71NOgfJt0eoUKFC0qBBA7MzNsKb7vWPS6NGjZIEaqQ92sM9aAv3oC3c4+TJk+4IQjNmzAjai2uYiYqKMivQfOnt/PnzJzl+3759ZpJ08+bNvWWec51FR0ebCdYlSpRIMqdJL4npLzS/1O5AW7gL7eEetIV70BbhF6rPP6zbQ+v5yqpVqyarVq3yCzZ6u1atWkmOL1OmjFmyr8NinkuLFi1M745e154eAACAkPUIFStWzO9Eq4nt378/Vc+nw1YdOnSQ6tWrS40aNczy+XPnzplVZKp9+/ZSsGBBM9dH9xmqUKFCkqE6lbgcAAAg6EGod+/eScZPdTNF3Wn6pZdeSu3TSevWreX48ePmRK5HjhyRKlWqmOfyTKCOj4/nvGYAAMA9y+eT2x3622+/valK9OjRw1wCWbt27XUfO3PmzJt6TQAAgKB1tTz88MPy6aefBuvpAAAA0k8Q+uSTTyRnzpzBejoAAAD3DY3dd999fpOlHccxc3t0ns+kSZOCXT8AAAD3BKHEZ3rXicx58uSRBx54wCxvBwAAiNggFBsbG5qaAAAApDHWpQMAAGuluEdIh8Cut5Gi0vuvXr0ajHoBAAC4JwgtXLgw2fs2bNggb7/9tve8XwAAABEVhFq2bJmkTE9yOmDAAPnXv/4l7dq1k2HDhgW7fgAAAO6aI/Trr79Kly5dpGLFimYoTE94OmvWLClSpEjwawgAAOCGIHT69Gnp37+/lCxZUrZv327OEq+9QZzwFAAARPTQ2JgxY+T111+X/Pnzy5w5cwIOlQEAAERkENK5QNmyZTO9QToMppdAFixYEMz6AQAAhD8ItW/f/obL5wEAACIyCM2cOTO0NQEAAEhj7CwNAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYyxVBaOLEiVK0aFHJmjWr1KxZUzZu3JjssVOnTpV69erJXXfdZS4NGza87vEAAACuDULz5s2Tvn37SmxsrGzevFkqV64sTZo0kWPHjgU8fu3atdKmTRtZs2aNbNiwQQoVKiSNGzeWX375Jc3rDgAA0rewB6Hx48dLly5dpFOnTlKuXDmZMmWKxMTEyPTp0wMeP3v2bOnWrZtUqVJFypQpI9OmTZNr167JqlWr0rzuAAAgfYsO54tfvnxZNm3aJAMHDvSWZcyY0Qx3aW9PSpw/f16uXLkiOXPmDHj/pUuXzMXjzJkz5qc+Ri8IH8/nTzu4A+3hHrSFe9AW7hGqNghrEDpx4oQkJCRIvnz5/Mr19q5du1L0HP3795cCBQqY8BTIqFGjZOjQoUnKdWhNe54QfitWrAh3FeCD9nAP2sI9aIvw046PiAtCt2r06NEyd+5cM29IJ1oHor1NOgfJt0dI5xU1aNBAcuXKlYa1RaB0r39cGjVqJJkyZQp3daxHe7gHbeEetIV7nDx5MvKCUO7cuSUqKkqOHj3qV6638+fPf93Hjh071gShlStXSqVKlZI9LkuWLOaSmP5C80vtDrSFu9Ae7kFbuAdtEX6h+vzDOlk6c+bMUq1aNb+Jzp6Jz7Vq1Ur2cWPGjJHhw4dLXFycVK9ePY1qCwAAIk3Yh8Z02KpDhw4m0NSoUUMmTJgg586dM6vIVPv27aVgwYJmro96/fXXZciQIfLRRx+ZvYeOHDliyrNnz24uAAAA6SYItW7dWo4fP27CjYYaXRavPT2eCdTx8fFmJZnH5MmTzWqzxx57zO95dB+iV199Nc3rDwAA0q+wByHVo0cPcwlEJ0L7OnjwYBrVCgAARLqwb6gIAAAQLgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANZyRRCaOHGiFC1aVLJmzSo1a9aUjRs3Xvf4+fPnS5kyZczxFStWlKVLl6ZZXQEAQOQIexCaN2+e9O3bV2JjY2Xz5s1SuXJladKkiRw7dizg8evXr5c2bdpI586dZcuWLdKqVStz2bZtW5rXHQAApG9hD0Ljx4+XLl26SKdOnaRcuXIyZcoUiYmJkenTpwc8/q233pKHHnpIXnrpJSlbtqwMHz5cqlatKu+++26a1x0AAKRvYQ1Cly9flk2bNknDhg3/W6GMGc3tDRs2BHyMlvser7QHKbnjAQAAkhMtYXTixAlJSEiQfPny+ZXr7V27dgV8zJEjRwIer+WBXLp0yVw8Tp8+bX7+9ttvQXgHuBVXrlyR8+fPy8mTJyVTpkzhro71aA/3oC3cg7ZwD8/3tuM4kROE0sKoUaNk6NChScpLlSoVlvoAAICbp6E0R44cEhFBKHfu3BIVFSVHjx71K9fb+fPnD/gYLU/N8QMHDjSTsT1+//13KVKkiMTHxwf1g0TqnTlzRgoVKiQ//fST3HHHHeGujvVoD/egLdyDtnAPHdEpXLiw5MyZM6jPG9YglDlzZqlWrZqsWrXKrPxS165dM7d79OgR8DG1atUy9/fu3dtbtmLFClMeSJYsWcwlMQ1B/FK7g7YDbeEetId70BbuQVu4h84ljqihMe2t6dChg1SvXl1q1KghEyZMkHPnzplVZKp9+/ZSsGBBM8SlevXqJfXr15dx48ZJs2bNZO7cufLtt9/K+++/H+Z3AgAA0puwB6HWrVvL8ePHZciQIWbCc5UqVSQuLs47IVqHsHzTX+3ateWjjz6SwYMHy8svvyz33nuvLFq0SCpUqBDGdwEAANKjsAchpcNgyQ2FrV27NknZ448/bi43Q4fJdPPGQMNlSFu0hbvQHu5BW7gHbRH5bZHBCfY6NAAAgHQi7DtLAwAAhAtBCAAAWIsgBAAArEUQAgAA1orIIDRx4kQpWrSoZM2aVWrWrCkbN2687vHz58+XMmXKmOMrVqwoS5cuTbO6RrrUtMXUqVOlXr16ctddd5mLnlz3Rm2H0P6/4aH7dWXIkMG78SnSvi10V/zu3bvL3XffbVbN6GmC+FsVnrbQ/e5Kly4t2bJlM7tO9+nTRy5evJhm9Y1U69atk+bNm0uBAgXM3xvdGudGdGV51apVzf8TJUuWlJkzZ6b+hZ0IM3fuXCdz5szO9OnTne3btztdunRx7rzzTufo0aMBj//666+dqKgoZ8yYMc6OHTucwYMHO5kyZXJ++OGHNK+77W3Rtm1bZ+LEic6WLVucnTt3Oh07dnRy5Mjh/Pzzz2le90iU2vbwOHDggFOwYEGnXr16TsuWLdOsvpEstW1x6dIlp3r16k7Tpk2dr776yrTJ2rVrna1bt6Z53W1vi9mzZztZsmQxP7Udli1b5tx9991Onz590rzukWbp0qXOoEGDnAULFuhqdmfhwoXXPX7//v1OTEyM07dvX/P9/c4775jv87i4uFS9bsQFoRo1ajjdu3f33k5ISHAKFCjgjBo1KuDxTzzxhNOsWTO/spo1azrPPvtsyOsa6VLbFoldvXrVuf32251Zs2aFsJb2uJn20DaoXbu2M23aNKdDhw4EoTC1xeTJk53ixYs7ly9fTsNa2iG1baHH/uUvf/Er0y/iOnXqhLyuNpEUBKF+/fo55cuX9ytr3bq106RJk1S9VkQNjV2+fFk2bdpkhlQ8dFdqvb1hw4aAj9Fy3+NVkyZNkj0eoWuLxM6fPy9XrlwJ+gn2bHSz7TFs2DDJmzevdO7cOY1qGvlupi0+++wzcz5FHRrTXfd1J/2RI0dKQkJCGtY88txMW+jZDfQxnuGz/fv3myHKpk2bplm9Edzvb1fsLB0sJ06cMH8YPKfn8NDbu3btCvgYPa1HoOO1HGnbFon179/fjBUn/kVH2rTHV199JR988IFs3bo1jWpph5tpC/2yXb16tbRr18586e7du1e6detm/qGgO+0i7dqibdu25nF169bVERW5evWqPPfcc+aUT0hbyX1/nzlzRi5cuGDmcKVERPUIIXKMHj3aTNBduHChmcCItHX27Fl5+umnzQT23Llzh7s61rt27ZrpmdOTS1erVs2co3HQoEEyZcqUcFfNOjo5V3vjJk2aJJs3b5YFCxbIkiVLZPjw4eGuGm5SRPUI6R/sqKgoOXr0qF+53s6fP3/Ax2h5ao5H6NrCY+zYsSYIrVy5UipVqhTimtohte2xb98+OXjwoFnB4ftlrKKjo2X37t1SokSJNKh55LmZ/zd0pVimTJnM4zzKli1r/kWswzuZM2cOeb0j0c20xSuvvGL+kfDMM8+Y27rS+Ny5c9K1a1cTTn1PEo7QSu77+4477khxb5CKqBbTPwb6r6VVq1b5/fHW2zq+HoiW+x6vVqxYkezxCF1bqDFjxph/WcXFxUn16tXTqLaRL7XtodtJ/PDDD2ZYzHNp0aKFNGjQwFzXJcNIu/836tSpY4bDPGFU7dmzxwQkQlDatoXOXUwcdjwBlVN3pq2gfX87EbgUUpc2zpw50yyn69q1q1kKeeTIEXP/008/7QwYMMBv+Xx0dLQzduxYs2Q7NjaW5fNhaovRo0ebZayffPKJc/jwYe/l7NmzYXwX9rZHYqwaC19bxMfHmxWUPXr0cHbv3u0sXrzYyZs3r/Paa6+F8V3Y2Rb6HaFtMWfOHLN8e/ny5U6JEiXMCmTcGv1br9un6EXjyfjx4831Q4cOmfu1HbQ9Ei+ff+mll8z3t26/wvL5/0/3EihcuLD5UtWlkd988433vvr165s/6L4+/vhjp1SpUuZ4XYq3ZMmSMNQ6MqWmLYoUKWJ++RNf9A8PwvP/hi+CUHjbYv369WZrD/3S1qX0I0aMMNsbIG3b4sqVK86rr75qwk/WrFmdQoUKOd26dXNOnToVptpHjjVr1gT8DvB8/vpT2yPxY6pUqWLaTv+/mDFjRqpfN4P+J7idVQAAAOlDRM0RAgAASA2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCABAiel4qPQdVsOh5xYoWLSrffvtt0J4TsB1BCIhwGTJkuO7l1VdflUijYWHChAlhrYOeEPWtt94yJ+L00JNzPvnkk+YcYW3atDHnrUr8mOeff16KFy8uWbJkMed00xPfes6npOfGevHFF6V///5p/n6ASEUQAiLc4cOHvRcNB3pmZt8y/WJND3QT/KtXr6bpa2oPzM2aNm2a1K5dW4oUKeIt088/e/bssnz5cnN2bN+wdvDgQXMC0NWrV8sbb7xhTnqrJx/WE912797de1y7du3kq6++ku3bt9/COwPgQRACIlz+/Pm9lxw5cpheIN+yuXPnStmyZSVr1qzmrPOTJk3y+3LW4z/++GOpV6+e+fL+05/+ZM58/p///EeqV69uvtgffvhhOX78uPdxHTt2lFatWsnQoUMlT548Jnw999xzfsFCz/I9atQoKVasmHneypUryyeffOK9f+3atea1P//8cxMQtIdEA8C+ffukZcuWki9fPvPaWp+VK1d6H/fAAw/IoUOHpE+fPt5eL6U9X1WqVPH7bDSIaO9R4nqPGDFCChQoIKVLlzblP/30kzzxxBNy5513Ss6cOc3r62dzPfq5am+Or1OnTkmpUqWkYsWK5rP+/fffvfd169bN1HXjxo3y6KOPmuPKly8vffv2lW+++cZ73F133WXORq/PD+DWEYQAi82ePVuGDBlivvh37twpI0eONPNaZs2a5XdcbGysDB48WDZv3izR0dHStm1b6devnxn6+fLLL2Xv3r3meXzpcI4+pwaaOXPmyIIFC0ww8tAQ9OGHH8qUKVNM74YGl6eeekq++OILv+cZMGCAjB492jxXpUqV5I8//pCmTZua59+yZYs89NBDJnDEx8eb4/V17rnnHhk2bJi31ys19Hl3794tK1askMWLF8uVK1ekSZMmcvvtt5v3+vXXX5sApq+bXI/Rb7/9Jjt27DBB0VePHj3kvffek0yZMsmMGTOkV69e3uO190d7fm677bYkz6cBzFeNGjVMXQAEQbDOGgvA/fTMzDly5PDe1jNof/TRR37HDB8+3KlVq5a5fuDAAXP252nTpnnvnzNnjilbtWqVt2zUqFFO6dKlvbf1LNE5c+Z0zp075y2bPHmykz17dichIcG5ePGiExMTY86o7qtz585OmzZt/M5EvWjRohu+r/Lly5sziHsUKVLEefPNN/2OiY2NdSpXruxXpsfosb71zpcvn3Pp0iVv2d///nfz3q5du+Yt0/uzZcvmLFu2LGB9tmzZYuoeHx+f5D59/4cPH/Z7vn//+9/m+AULFjgp8dZbbzlFixZN0bEAri86GGEKQPqjE3d1mKlz587SpUsXb7nOw9EhNF/aE+OhQ1JKh3d8y44dO+b3GB3qiomJ8d6uVauW6c3RYSb9qROFGzVq5PcY7WG57777/MoS96roY3WYa8mSJaa3R+t74cIFb4/QrdL3pZOSPb777jvT46U9Qr4uXrxoPr9AtD5KhxsTy5gxoxmSTDz/KTV0KDHxRGsAN4cgBFhKA4WaOnWq1KxZ0+++qKgov9s6lOPhmXOTuEzn/KT2tTXMFCxY0O8+nQvkK/FQkU7u1mGrsWPHSsmSJU0oeOyxx244sVkDSOLAocNeiSV+Pa2rzlHSYcTEdP5TILlz5/bOCUruGF/33nuv+Qx37dolKaFDaSl5XgA3RhACLKW9ODoheP/+/WYlUrBpT4r2jGhQUTrhV+fW6JJwnXCsgUd7cerXr5+q59U5Ojqp+X/+53+8QSXxxGXt0UlISPAr0+Cgy9M1DHnC3NatW2/4elWrVpV58+ZJ3rx5zaTvlChRooQ5VucJ6aTnG9HPQ+chTZw4UXr27JkkjOmkat95Qtu2bUvScwbg5jBZGrCYTl7WSctvv/22WQmmS7Z1Eu/48eNv+bm1h0aH3TQMLF261Ey41snC2jOjw0zas6MTpHVitg4x6UTsd955J8lE7UC9JzohWkOMhi2duJ24N0pXgq1bt05++eUXOXHihHc1ma5sGzNmjHk9DR26Iu1GNCRqD4+uFNMJygcOHDATwDWw/PzzzwEfo++xYcOGZpVbSml9NLzpROhPP/1UfvzxRzNBXNtGhxV9aT0aN26c4ucGkDyCEGCxZ555xux3o+FH58Zo78zMmTPNkvZb9eCDD5rQ8uc//1lat24tLVq08Nu8cfjw4WaFmgYxXb6vq7B0qOxGr60hTZeQ6x49ulpMe1K018aXrhjTXiLtmfEMIelr6NYAGjh0/pIuU0/JHko6z0lDVeHCheWRRx4xz6MBT+cIXa+HSD9bXeKe0iFD3URRw6DuG/TCCy9IhQoVzBwqXcU2efJk73EbNmyQ06dPm+FAALcug86YDsLzAICXDl3pcM6iRYvEVvqnVedeaa+X7iIdLBoqNci9/PLLQXtOwGb0CAFACOg8pPfffz+ou2HrcKP23Gm4AhAc9AgBCDp6hACkFwQhAABgLYbGAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIDY6v8BU+v7R6lTcCQAAAAASUVORK5CYII=", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 👉 # TODO: call plt.show() so the plot appears\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + " " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + " " + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "DsAi", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.2/AI-DS_Nexus__A0_2_Project_roohi_268383.ipynb b/a0.1/a0.2/AI-DS_Nexus__A0_2_Project_roohi_268383.ipynb new file mode 100644 index 0000000..2f9de70 --- /dev/null +++ b/a0.1/a0.2/AI-DS_Nexus__A0_2_Project_roohi_268383.ipynb @@ -0,0 +1,508 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "ZS5lje_18xC2" + }, + "source": [ + "# 📚 Assignment 2 — NumPy, pandas & Matplotlib Essentials\n", + "Welcome to your first data-science sprint! In this three-part mini-project you’ll touch the libraries every ML practitioner leans on daily:\n", + "\n", + "1. NumPy — fast n-dimensional arrays\n", + "\n", + "2. pandas — tabular data wrangling\n", + "\n", + "3. Matplotlib — quick, customizable plots\n", + "\n", + "Each part starts with “Quick-start notes”, then gives you two bite-sized tasks. Replace every # TODO with working Python in a notebook or script, run it, and check your results. Happy hacking! 😊\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u5vvtK-6840I" + }, + "source": [ + "## 1 · NumPy 🧮\n", + "Quick-start notes\n", + "Core object: ndarray (n-dimensional array)\n", + "\n", + "Create data: np.array, np.arange, np.random.*\n", + "\n", + "Summaries: mean, std, sum, max, …\n", + "\n", + "Vectorised math beats Python loops for speed\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UyNHtkGm9OgH" + }, + "source": [ + "### Task 1 — Mock temperatures\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "lmaiboJe8E15" + }, + "outputs": [ + { + "data": { + "image/png": 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    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 👉 # TODO: import numpy and create an array of 365\n", + "# normally-distributed °C values (µ=20, σ=5) called temps\n", + "\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt \n", + "temps = np.random.normal(loc=20 , scale=5 , size=365)\n", + "\n", + "# رسم هیستوگرام\n", + "plt.hist(temps, bins=30 , edgecolor='black', density=True)\n", + "\n", + "# رسم منحنی چگالی احتمال روی هیستوگرام\n", + "from scipy.stats import norm\n", + "xmin, xmax = plt.xlim()\n", + "x = np.linspace(xmin, xmax, 100)\n", + "\n", + "p = norm.pdf(x, np.mean(temps), np.std(temps)) #pdf\n", + "plt.plot(x, p, 'r', linewidth=2)\n", + "\n", + "# تنظیمات نمودار\n", + "plt.title(\"Normal distribution yearly\")\n", + "plt.xlabel(\"temp of daily\")\n", + "plt.ylabel(\"Probability density\")\n", + "\n", + "plt.grid(True)\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BtsB8QKM9Xs_" + }, + "source": [ + "### Task 2 — Average temperature\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "DSR8aS-F9Z10" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "float64\n", + "19.81\n" + ] + } + ], + "source": [ + "# 👉 # TODO: print the mean of temps\n", + "temps_mean = round((np.mean(temps)) , 2 )\n", + "\n", + "print(temps_mean.dtype)\n", + "print(temps_mean)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8JjHX4wy9dPz" + }, + "source": [ + "## 2 · pandas 📊\n", + "Quick-start notes\n", + "Main structures: DataFrame, Series\n", + "\n", + "Read data: pd.read_csv, pd.read_excel, …\n", + "\n", + "Selection: .loc[label], .iloc[pos]\n", + "\n", + "Group & summarise: .groupby(...).agg(...)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wRyJyhbt9uUr" + }, + "source": [ + "### Task 3 — Load ride log\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "id": "1J4jcLct9yVO" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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    datetempridesweekday
    02024-01-0113.3141Monday
    12024-01-0218.4174Tuesday
    22024-01-0325.3256Wednesday
    32024-01-0419.5188Thursday
    42024-01-0525.6234Friday
    52024-01-0624.4253Saturday
    62024-01-0728.6297Sunday
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    " + ], + "text/plain": [ + " date temp rides weekday\n", + "0 2024-01-01 13.3 141 Monday\n", + "1 2024-01-02 18.4 174 Tuesday\n", + "2 2024-01-03 25.3 256 Wednesday\n", + "3 2024-01-04 19.5 188 Thursday\n", + "4 2024-01-05 25.6 234 Friday\n", + "5 2024-01-06 24.4 253 Saturday\n", + "6 2024-01-07 28.6 297 Sunday" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# 👉 # TODO: read \"rides.csv\" into df\n", + "# (columns: date,temp,rides,weekday)\n", + "import pandas as pd \n", + "df = pd.read_csv(\"rides.csv\")\n", + "df.head(7)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "byKd8SFK9w2y" + }, + "source": [ + "### Task 4 — Weekday averages" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "id": "4rLrxkPj90p3" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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    weekdayrides
    0Friday195.942308
    1Monday196.830189
    2Saturday188.884615
    3Sunday203.134615
    4Thursday206.403846
    5Tuesday201.461538
    6Wednesday210.576923
    \n", + "
    " + ], + "text/plain": [ + " weekday rides\n", + "0 Friday 195.942308\n", + "1 Monday 196.830189\n", + "2 Saturday 188.884615\n", + "3 Sunday 203.134615\n", + "4 Thursday 206.403846\n", + "5 Tuesday 201.461538\n", + "6 Wednesday 210.576923" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# 👉 # TODO: compute and print mean rides per weekday\n", + "df_mean_weekday = df.groupby('weekday')[['rides']].mean().reset_index()\n", + "df_mean_weekday" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gbGMbtLf94M4" + }, + "source": [ + "## 3 · Matplotlib 📈\n", + "Quick-start notes\n", + "Workhorse: pyplot interface (import matplotlib.pyplot as plt)\n", + "\n", + "Figure & axes: fig, ax = plt.subplots()\n", + "\n", + "Common plots: plot, scatter, hist, imshow\n", + "\n", + "Display inline in Jupyter with %matplotlib inline or %matplotlib notebook" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QOsToPh2-AnZ" + }, + "source": [ + "### Task 5 — Scatter plot" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "id": "_pCU2mIH-DAi" + }, + "outputs": [ + { + "data": { + "image/png": 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MGGPjxo2+nkLQgTU1H6yp+WBNi9aazmrt+phLR3fSmqOem0NWVlZgiJ06depQcnIypaen0xdffEFDhw6lrVu3CsEzYsQI63FswalQoQJ17tyZTp06RTVr1jR8zokTJ9K4cePsLDuVK1emrl27ikBpYFxh8y9mly5dRNwUcB+sqflgTc0Ha1o01zTp6AUa+3my+NnWxqNU2Jn9cFNKrGdvkDAbxTPj92KH42pq1aolfm7RogXt3r2b3n77bfrwww8LHdumTRvxfPLkSSF22LW1a9cuu2MuXLggnrXifJjIyEjxcIS/UP76pQoksI7mgzU1H6yp+WBNi9aa9mhciUJCw3xaZ0d2bXwudhwpKCiwi6exhS1ADFt4GHZ/cVDzxYsXRdo5w0qYrTOKKwwAAAAAnoEFTZf6Caig7Mqd1KNHD6pSpQpdu3aNli5dSt9//z2tX79euKr4dc+ePals2bIiZmfs2LHUoUMHUZuHYbcTi5pHH32UZs2aJeJ0XnrpJRo1apSq5QYAAAAA5sLCxh/Sy/1W7LBFhuvicH2cUqVKCRHDQod9lOfOnRMp5XPmzBEZWhxTM2DAACFmFMLCwmj16tUi+4qtPDExMSLmx7YuDwAAAACKNj4VO5988onmPhY3HKjsCs7WWrNmjckzAwAAAECwgN5YAAAAAAhqIHYAAAAAENRA7AAAAAAgqIHYAQAAAEBQA7EDAAAAgKAGYgcAAAAAQQ3EDgAAAACCGogdAAAAAAQ1EDsAAAAACGogdgAAAAAQ1EDsAAAAACCogdgBAAAAQFADsQMAAACAoAZiBwAAAABBTTFfTwAAAAAIRPILLLQr5QpdvHaTypcsTq2rx1FYaAgFEvlBcA0yQOwAAAAAOll36DxN/fYInU+/ad1WoVRxerl3feresAIFAuuC4BpkgRsLAAAA0CkSnv7sf3YigUlNvym2835/Z10QXIMeIHYAAAAAHW4ftoZYVPYp23g/H+ev5AfBNegFYgcAAACQhONbHK0htrA84P18nL+yKwiuQS8QOwAAAIAkHMhr5nG+4GIQXINeIHYAAAAASThjyczjfEH5ILgGvUDsAAAAAJJwajZnLGklZ/N23s/H+Sutg+Aa9AKxAwAAIGjgoNodpy7T18m/iWezg2y5Bg2nZjOOYkF5zfv9uVZNWBBcg15QZwcAAEBQ4K26MTzW+480L3SuBA/WqDG7+F93H1yDL4HYAQAAEPAodWMc7ThK3Ri+sZsteLrUT/BK9WFPibjuXrwGXwM3FgAAgIDGV3VjWBS0q1mW+ja9Uzx7QiQkHb1QpIr/eQpYdgAAAAQ0eurGsCgJJGau/VlTxIXcFnFsnTEitNahXQQAAAAQGPhD3RhPBUanZnim+N+6ItYuApYdAAAAAY2v68b42kKiV8Tlu3D7uWsx8kdg2QEAABDQ+LJujD9YSPSKuF1oFwEAAAAEFr6qG+ONwGhXU+b9LaqWCTi3n7eB2AEAABDwKHVjuE6MLfza7LRzb1pIXOkk3r/3TFpAuf18AWJ2AAAABAXerhvjLxYSveO3vu32Y1ebmpYKuS0Sg6ldBMQOAACAoEGpfeMN/MVConf8sNtuP44pYmFjKQLtIuDGAgAAAPw0MLp0VLjz/dHhhsbv7gO3ny+BZQcAAAAwgD9YSNwZuTvaRQAAAADA1xaSqzdyne5Py8p1KwA6zAstL/wBWHYAAACAALaQBFOKuKeA2AEAAAACKDA6mFPEPQXEDgAAAOCnJMQWp7Np2V5LEc8vsARlDA/EDgAAAOCnTOhRl0Yu3e+VAOh1QdwFHQHKAAAAgJ+SWC/eKyni6/ygx5cngWUHAAAAKMIB0PlFoAs6xA4AAABQRAOg8wsstGh7inSPL18FYbsLxA4AAADghSBefwv+XacSoxOsKe4QOwAAAICHg3j9Lfh33e0YHRdN1YMmxR0BygAAAIAHg3j9Lfg330mMjqd6fPkaiB0AAADAzSBehvfzcWa8z5PsSrki7boKli7oEDsAAACAmwLBNojXjPd5kos6Ym/cTXFnEbfj1GX6Ovk38exNUec3Yuf999+nxo0bU2xsrHi0a9eO1q5da91/8+ZNGjVqFJUtW5ZKlChBAwYMoAsXLtiNcfbsWerVqxdFR0dT+fLl6bnnnqO8vDwfXA0AAIBgRVYgOB5n9H2epLxk7M2kXvXoh+c7GRY67J675/XNNOjjnfTs8mTxzK99UbPHp2KnUqVKNHPmTNq7dy/t2bOHOnXqRH379qXDhw+L/WPHjqVvv/2WVqxYQVu3bqXff/+d+vfvb31/fn6+EDo5OTn0448/0uLFi2nRokU0efJkH14VAACAYENWIDgeZ/R9nqR19TgRg+PMKVU6OpzqJsQaPoe/xSn5VOz07t2bevbsSbVr16a77rqLXn31VWHB2blzJ6Wnp9Mnn3xCb731lhBBLVq0oIULFwpRw/uZDRs20JEjR+izzz6jpk2bUo8ePWj69Ok0b948IYAAAAAAbwgErSBeo+/zJGGhISIGRzm/GlezcmnIJz9Rq1c30vRvD+tyQfljnJLfxOywlWb58uWUmZkp3Fls7cnNzaXExETrMXXr1qUqVarQjh07xGt+btSoEcXHx1uP6datG2VkZFitQwAAAIAnBYKzIF6j7/M03RtWUG1D4ciVzFz6ZPtpXS4of4xT8nmdnYMHDwpxw/E5bNVZtWoV1a9fn5KTkykiIoJKly5tdzwLm9TUVPEzP9sKHWW/sk+L7Oxs8VBgccSwuOIHMIaydlhD88Camg/W1HyKypp2rlOOnrq3Ci3acYZsjRKsUx5vV1XsV1sD3v7e4CY0c+3PlJpx066jOTf6VHufN9a0c51y1LH2vbT79BX653/209Wbzs+Vdv0GjVm2l2Y/3FT07NLiYnomRYa5ttrwcbm5xl1letYnxGKx+CY0+jbsbuIgY3ZbffHFFzR//nwRn8Ni54knnrATJUzr1q3p/vvvp9dff51GjBhBZ86cofXr11v3Z2VlUUxMDK1Zs0a4tdSYMmUKTZ06tdD2pUuXikBnAAAAAPg/fM8fPHiw0BCc6OS3lh223tSqVUv8zHE5u3fvprfffpsefvhhIYSuXr1qZ93hbKyEhATxMz/v2rXLbjwlW0s5Ro2JEyfSuHHj7Cw7lStXpq5duzpdLOBaYW/cuJG6dOlC4eHhvp5OUIA1NR+sqfkUhTXl+JJuc7bZWWZsYSdUfGxxWj+mg3BJJR29oGnJcWYV8cWarjl4nsZ/eUDXexYMbaUZZ6Ss1YWMm6pxO45r5Q6KZ8YVPhc7jhQUFAhrDgsf/oA3bdokUs6ZY8eOCSsQu70Yfuag5osXL4q0c4a/HCxY2BWmRWRkpHg4wucL1l9Ub4J1NB+sqflgTc0nmNd0z6nLdCaNPQ3aN2fev+/Xa5R+I4dGLt1/+0YfYreft+upW+ONNS1fKoay8/WJjktZeZrz4q0TezUQWVeMreBRzsL7i0dGGJ6z9VySa+NTscMWFnY1cdDxtWvXhBvp+++/F26pUqVK0bBhw4QFJi4uTgiYZ555Rgictm3bivezJYZFzaOPPkqzZs0ScTovvfSSqM2jJmYAAACYg21Ty3LRfvd3s1uoNeyUrYOTmn6DZq0/ptmKwXI7E6lL/QS/qUjc+nbGGKeFy8a1uEqVVwKgHfuBJfioH5hPv6FskXnsscfo/PnzQtxwgUEWOmy2Y2bPnk2hoaHCssPWHs60eu+996zvDwsLo9WrV9PTTz8tRBDH6gwdOpSmTZvmw6sCAIDgxrGpJQejzmpNwnXTo3ElCmS0GnYObFVF6v1XMnNctmJQMpHa1SxL/kDY7YwxxRLjjJDbgkUmVZ4FDYs6f+j07lOxw3V0nFG8eHFRM4cfWlStWlUEIwMAAPBtt+yxnydTSGiYT7p4e/La2OIxJ+m4KLSXnpWrGYfCIqB0dIS0Bcif6K5hiXE3VZ6P8wdR5zd1dgAAAPg3Mt2yvV0szixkCuGF3P7ZWb2cq1k50hYgf6N7wwqiPcSy4W3pyfbVKC4mwtQ+Wb4kuBytAAAAPIaeYnH+8Ne82deWlpVLYxNr0/Ld5zTjUFbt+03qfHEl/DOuNOy2JYYfL/aq7xcuKDOA2AEAACCFPza1lA0wdnWTlp1ztXIxwvqhNT6nl8sge5wvCfMTF5QZQOwAAACQwh+bWsoGGLvKANJzbc5EgJLZ5MxK5O1eWAAxOwAAACTxx6aWZnXaNuvalMymEI3YnhAf9cIq6kDsAAAAMK1btq9u5O522jazYadWk81ADvANdODGAgAAYEqKMjeI9NWN3IzgaTML4flTjRkAsQMAAEAnjjdyrqB86ehOqZ5P/h48baZICaYA30AHbiwAAACGb+R9m97pF8G2ZgZP87XxNfGxLHhY+ARi7SDwJ7DsAAAACHhc9XfS0+bAWUYXXFOBCcQOAACAgMe2v5NS6dhIgLGzlhFPffY/0TLialaurrR24HvgxgIAAOB2AT/G1+4erSyoUlHhNCaxtrDKuJvRZSt0ZNPage+B2AEAAGAIvsHf8/pmenLxbvGan/m1L2/8Sn+nsYl3UemocLHt6o1cmp10QnVuLHB2nLpMXyf/Rou2p7jsWG4krR34HrixAAAA6MbW3RMZVtjS4ct6MhuPpIou5WquKNu5qcXmGMGMnmCOLS6aVSrp1pyAPRA7AABQxNHbS8qVu4ffyfvZbeTt4F3ZuRUUWGjU0n1OO7jrxWhPMDXRVbVMJI2ra+LkijgQOwAAUIThG+2Ub45QaoZNEb3Y4jSlj3bQrT93P5ed20tfHzJV6BjtCaYVEH3h9ueRdPQC9WhcyaQZFl0QswMAAEUUvtFyhpGt0GH4NW/Xir3x5+7nsue8kmkfaOwORnuCyQREz1z7M2KBTABiBwAAiiB8A52w8qDTYyauPKh6o/Xn7ueePqe7fbP0WKEU4alkuwHjQOwAAEARZOcvlwulUTuSlpUrjguk7udpmTnkTHPwrrIxEYbHL+PwXneae/qzhSzYQMwOAAAUQTjdWva4tjXKFgpgti3gZ5alw13Y7TZqaeH4F0em921I0787ollt2RmTetWjhFJRplRQ9mcLWbABsQMAAEUSudv8qT+uifo0aq0TlA7hV67fcKtDuBk4i39RYE0yd1Az6tm4AoWGkmq1ZVew0DEr6NpViwtxvljfWMiCDbixAACgCNKuRjmp49YeulAorkSpV8NwAb8FQ1uJn/mZX/uivo5M/AuHH5WJiXRabZm86JpTWlwo4zuej5nQoy56b5kAxA4AABRB2tYsK/o8OSNEomowowgAXzbFNBL/olRbXja8Lb09sKmousyz96ZrTkt0xcfeep1YL97U8xVV4MYCAIAiWDCQHzP7NxIp5lo4c+/Y1tJpWSXWa/M2O/6Fx7R1S9VJKFGowJ+nXXM8rmM3da6gvH7dWo+crygCsQMAAEGKWmVe2y7dfIN17OKtl1uWklhTRc7czSdo4fbToqeVbHdxV/EvIbdFiys3lJrw8IbFylF05eaaVwcIQOwAAEBQolWZ17Y/VKmoCLeEjtmZQjxnrv2jNietnlu2FqCBraqInliOQcd63VCOwgMEPhA7AAAQZMj2hxrf3XjzJVtLSUF+HnlKnDnruaVmuVLikGwFk68yxID/ALEDAABBhmx/qCvXsw2N72gpKch3LxaHcZU2bjtvfn/6jRxVcZSelSu2jU2sTdXKxXjNDaU3xgh4F4gdAAAIMmQzk+JiIlzWeeHbdSmHuB6jlhKtGCJ2P7lKG7clNf0GzVp/zKnlavnucyLTyhuCw1VsFPA9EDsAABAkKNaFExeuSRfIUyoha8HigYWOu5YSZzFEs5OO6xrrSmaO33Rdl4mNguDxPRA7AAAQBKhZF2TibVi0zBvcjEYv2yeK7mkd746lRKa7tyxsMYkrcaswoIwFiNtdeMq1JBsbpcQYAd8BsQMAAAGOq+BecpGZxFWFtYSOGZYSmerGsvC8OYtMhunfHRVWIE+5lmRjo7xhYQLOQQVlAAAIYGR6QtnC8TeOrhVPd982q2s3Vzjmebvquq5gK3RsXUssDs0AXcsDB4gdAAAIYPRaTaLCw4RbxRPdt1l4sdvo6+TfxDO/1jO+MxJiI2l0p1oue0o5w7bNhTI3PdfhyOlLWVLnRddy3wM3FgAABDB6rQZqbhWzqg93m7ONzqRlF3IbsbhylfXliil9GtjFvSg9pRzjlOJiwulKZq5h15JsZhULoGW7zkqJNHQt9z2w7AAAQABjxGrgKJBkum87qz6cdPSCeE7NUO+OvvFIqiFLjC0FBYW3OTby5OdJDzQwLBKV2CetLu+27i8WS47Xq8ag1lUQnOwHQOwAAEAAIxu/4kogaXXf5tfO0qfZwjFz7c+aVhR+/GPFfjr4azr1apRAIQbv+6OX/Y/WHPjdZSG/hNvdwvWugUzGmK37S9aixun6wPfAjQUAAAGMYpVxVitH1h1lpAmmjIUjMzuf5n1/ityBNcbIpfvog9AQMU8td9OkXvVcuuS4mKKSlq5cn97MKrPinIB3gNgBAIAARyt+Re2GPamX82aYeptgejvTiK+xoMBCo5buUy3kx9tHdKhOH21LKdQQlG6/vpyZQ2P/s98uHic7T8VP5uR6zYpzAt4BbiwAAAgCbONXnmxfTVgv1Jj+3RHTUq99YblgMffS14ecupu+2X+e5g0u7JJTQ4nH0ZtZ5W6cE/AuEDsAABAkKFaZyb0b0Ct91QN1XdWakU27VkjLNNZM1B1ksq3KxERYxd/sh5uKLC2t45nlu8+KzCktacLbKzhYaozGOQHvAzcWAAAEGSxQuHow6WxjoLehpbPz+Bp2Nynij0WbjEDi/l9zkk5our8US45tCwpeQ71xTiAAxU5GRgZt3ryZ6tSpQ/Xq1TNnVgAAAAyjN9iWRcvczSdVG3I6a2ipnCcyjPwOW/eanswpvs4JKw/adXlnSkeH076zaehuXlTcWA899BDNnTtX/Hzjxg1q2bKl2Na4cWP68ssvPTFHAAAAHmpjwNac9jM3aXYed1Z12Izg5BAbMWGGLUTN3aQ3cyrdQegwLH4+3JYiVYMHBIHY2bZtG917773i51WrVpHFYqGrV6/SO++8Q6+88oon5ggAAEAHsjd3DsrlG3VqhvO4G1tLkJHzOIPjWz54pDnN7N+IzEBxN9m6kVj4sJhyJZBaVC2jq8+Ycj6ZFhQgwMROeno6xcXdUszr1q2jAQMGUHR0NPXq1YtOnDjhiTkCAAAwsdCgSIuOjRTtDvTcnh0tOUYKGiqUjgoXjT05iJhdQPzglHF3Q1047sbRpcQVnB3dUmoCae+ZNEPd2bXEIAhgsVO5cmXasWMHZWZmCrHTtWtXsT0tLY2KF0fxJAAA8DUyadHcxkCm3YGWJUepXtyjYYKhflfpN3JpTtJxIUQYdgNxbRx3jSNV4qJVKyM7g60+HGTsrlsO3c2DKEB5zJgxNGTIECpRogRVqVKFOnbsaHVvNWpkjhkSAACAZwoNJugsoqfAFhclzdwxa8tIgLJtVlinuvG63UdaXMnM0d0Vnq0+fJy7bjlUSw4isTNy5Ehq3bo1nTt3jrp06UKhobeMQzVq1EDMDgAAeBi1flBaac7O2j9w+rQe2OIiqhP/elVYYMwQJor75987ThtyH6kRVyLScLD2A40rGurOjmrJQZp6zhlYnH2VkpJCNWvWpGLFiomYHQAAAJ5Dbx0cZ+0flKaZelxZLAA+/q85QseWM1fkqhfL4NgIVE8mlm2fMbVaO2qgWnKQxuxkZWXRsGHDRFBygwYN6OzZs2L7M888QzNnztQ11owZM6hVq1ZUsmRJKl++PPXr14+OHTtmdwy7yUJCQuweTz31lN0xPAcWWzwnHue5556jvLw8vZcGAAB+LXT4JmxW6jPHytzMy9c9D08kHFV1iLMximPKuWywtu37tKoi8zF/61BdPNuCaslBatmZOHEi7d+/n77//nvq3r27dXtiYiJNmTKFJkyYID3W1q1badSoUULwsDh54YUXRMDzkSNHKCYmxnrc8OHDadq0adbXLGoU8vPzhdBJSEigH3/8kc6fP0+PPfYYhYeH02uvvab38gAAwO9QgmwtOisiuxJOvk6UVtw/j7arRvN/SNHtPnIcS8264sxao2WVceb+G9+9HqolFwWx89VXX9Hnn39Obdu2FVYWBbbynDp1StdYnM1ly6JFi4RlZu/evdShQwc7ccNiRo0NGzYIcZSUlETx8fHUtGlTmj59Oj3//PNCfEVEqDfDAwAAf4mtMbsisqt5mRUM7A62QiOiWKhu95EtvKxzB2lbV1wFa6u9T8v9p7crPAhQsfPHH38IQeIIp6Lbih8jcA0fRqnjo7BkyRL67LPPhODp3bs3TZo0yWrd4TR4zgJjoaPQrVs3evrpp+nw4cPUrFmzQufJzs4WD9uWF0xubq54AGMoa4c1NA+saWCuadLRCzRz7c928TAcSzKhR11KrPfn/1WyXEzPpMgwi9RxubmxhcQN14+5dD2bypWIpIICC125fsNwiwcWFhaLvSCJDLXYPcugrEfnOuXEZ8HP7w1uUmjdZClVPLTQZ+p47Ulj7qHkc1etr7mIIIsXf/z9wu++HLLrE2LhEsg6YIvLX//6VxGjw7E2Bw4coOrVq4vXXFTQ0VojS0FBAfXp00dUY/7hhx+s2z/66COqWrUqVaxYUZyLLTacDbZy5Uqxf8SIEXTmzBlav369XVwRu8HWrFlDPXr0KHQutvhMnTq10PalS5faucgAAAAA4L/w/X7w4MHCWBIbay/03bLscBwMCwh2HXGczdtvvy1+5ngZjsExCsfuHDp0yE7oKGJGgS04FSpUoM6dOwuXGWeCGYHjjsaNG2dn2eFiiRwv5GyxgGuFvXHjRlGSgGOmgPsE65qabfnwlzVlS0K3Ods0LRNs+46PLU7rx3TQ5dJSxr2QoR7TojYur/HYz5MNu6vKRIdTmk3VYdvPx/HzY4vO9JYF9ObhSPojM096jq5gt9yTi3dLHbtgaCtrkLHWtStnnf1wU49/z9wlWH/3zUbxzLhCt9i55557KDk5WWResfjgmJnmzZtb3UlGGD16NK1evVoUJqxUqZLTY9u0aSOeT548KcQOu7Z27dpld8yFCxfEs1acT2RkpHg4wl8ofKncB+toPsG0phwcO3Lp/ts3oj9vemfTssV2b2W2eGJN95y6TGfS2EWufTPn/ft+vWaN+5CJ7eFZTuzVQMS0kEaQLe8vHhlhHXPad8foZn6I4aDhrc/dL1xAavPq0bgSdW14p3Xe5aKL0aWjO+mFBxqKz1BmjjLX3rZWeSoTE+XSrcWtL/hYfq+ra+etvJ/nHwiBxcH0u+8JZNfGUJ0dFhkff/wxuQt70Nj9xQ1FObuL3WGuYKHFsIWHadeuHb366qt08eJFaywRq2G20NSvf6tcOgAgOLOK/A09Bez01s3RE2QrUzVYJmjYWSCubaAuWyHWHCVhLZGdo8y18zmm9KlPT90WeVpM6dPA+n0xM5gbBA/FzDQTMXrcQOy64jiZr7/+WsT/pKbe6pFSqlQpioqKEq4q3t+zZ08qW7asiNkZO3asiBviooYMu55Y1Dz66KM0a9YsMcZLL70kxlaz3gAAfIevb0SKJUGZi2INMAs9Bey00r+VujlqFi5nKdFm9Ghylp0ki6s58mcwd/MJmp1UuHG02rXzM3dFn7DyYKFmntzTirul285Xr+AERQMpsVO6dGnpTCuueyPL+++/L56V/loKCxcupMcff1ykjXNK+Zw5c0S2F8fVcJd1FjMKYWFhwgXG2Vds5eHA5KFDh9rV5QEA+Ae+vBEplgTORJrVmkQsSFyJKLdv7moF7LTqxSguIs4Cuu+NLYYsXDKpz3p7NI2+vxa1r1VOV3q8rQuK3Vgyc+TPYMo3RzTdUlrXrgionb9cvt3mwkLtapSjtjXLFpqvHsEJig5SYmfLli3Wn0+fPi0KB7IYYXHBcLzO4sWLRUVkPbhKBGNxIxP0zNlanHkFAPBvfHUjsrWi2KZcO7OiGEG2gN1uD1u4FNEl68qqHV+i0HmcxdMUbgRqEQKSA4M5nsedQoZa187nZkHGDzMEpxLMbGY9JBDgYue+++6z/swWk7feeosGDRpk3cYp4xyczGnibFUBAAAzbkSBGCfkKraGGbXUeQyKuxYuRXS5inXREpfO4mkYLdHCGVAhoWGFhKORQobuXrtMxWQjvcZAEemNxVYcbgTqCG9zzIoCAAC1GxET4qWGinrihMyCb5Q/PN+Jlg1vS28PbCqe+TXDN+GrN3I9buHiObw3uLkoAugqk4nFJQsSdhFN+/awEElaPbjG/UfJpFOHxQOPZYuRgGl3r12tv5VtHyuze40B/0Z3Nha7ljgTi4OBbZk/f77YBwAAzjBSuj8Q44Qc41b0WDfMsnD1bFyB5lIzGrl0n+YxN/MKaNa6o/TN/vMuRSGTlZOv2wWlZ23NunZngdLBnhUITBA7s2fPFkHCa9eutda8YYsOV0/+8ssv9Q4HACiCyGYVmYG/BKzqtW4YsXCpxZ/0bFyRPggNUc1mYnjbh9tSyEwcxY3etTXLuqcVKO3rrEAQAGKH08CPHz8uMql+/vlnsY37VT311FOw7AAApPFWQ0VvxAnJBLnKWjdKR4XTzAH26dQyOIs/YWHJWVBE3umz5ChuXH0Gti41rpnj6XgZpKcXPQwVFWRRw20jAADA33EMWNUTJyQjYmSDXGWtG/OGNHeZcSSb6cRz4vibvzS/01BzTSNw7RtH4egsaFhhbOJdNLpTLa+4jfzF2gf8TOxwMb+GDRtSaGio+NkZSrE/AADwBEZShW3jhLjOjkyckIyIkSkMqLjrNhxO1bzR21qY2tbQZ+2SiQX64n+/kbd4vF011c9DK1bLF9lPvsgKBAEgdpo2bSoqE3M7Bv6ZCwyq1cjh7XqKCgIAgB7cSRW2FqY7eVH0ceLGkVoVlGVFjKsgV46TcVZEz4xYFaOtITzF8t1nqW6FkqqfhzdjtcxKTwdFSOykpKTQHXfcYf0ZAAC8jZH2Co7wzYtvrtzHSesmK5upUzIy3GWQ662AYNdxMjyNuYOauZy/mlXL3+JKLmRkq34ejnN/oHFFsd1XwsfbWYEgAMQOVyhW+9mRGzf+NA8DAIBZyAiQKd8cppLFw+nS9Wy3bpyymTo7frlEZsFlacrERBqyag1sVYX8CbXUbbW5c2wPY5sh5m2Xlr9YmoCfBig7kp2dTXPnzqU33njD2swTAADMQkaApGZk05D5P7l945S1lJz6I1PXuHrO62gFScvMEVWX1axac5KOC+GQnpWrq0Kx7Tr1aVLBZZ0dPdimbqffyFG1yKmlwZvdvsOfsgJBgIgdFjRTpkyhjRs3igad48ePp379+ommnS+++KJoyMkdyQEAwGyMuGqM3jhlM3DWHkp1S2RonVfNCsKGBmdWLWeBz2pM6lWPypWMtLNkjO9ejxZtT6Hp3x0ls+BYpVnrfpaeGwr6AZ+3i5g8ebKorVOtWjXRDPSvf/0rjRgxQhQZ5F5ZvO3555/32EQBAEUXIynAFiftC2QydWRus4rIcOeWzO/l8/F5tVoYOJs+70rLyqWxibUpvmSEy/Oxfni0XTXq2/ROYdFQBAU/P96+uvS1y3DlerZua5En2ncAIC12VqxYQZ9++il98cUXtGHDBpF1lZeXR/v376eBAwcKyw4AAHgCPQLE3RunkqkjI48UkVGoB1NspLD6yM5X6Remt1mmLdXKxdBbDzdzeRwLp71n0lz2LiMTBNyvaVmGx/C3wGtQRNxYv/76K7Vo0UL8zDV3IiMjhduK080BAMCTyBSl89WNk0UGN/l0DHLdeCTV5Xxt44q4Cac7MTN8XjMqAytZSi+sOkRXMnN0z0O5I3AckDttKFDQD/jEssOWHI7VUShWrBiVKFHC1MkAAIDeTtZm3ziVzC9ZLl3LptUHfhc/czq14hrSmm/ZmAh6sn01ayd0JZ7IqCCzdYOZVRmY57RzYmeKiwl3fu4Qbm9h/zczX++8wc1EwLO71wOA1y07XETw8ccfFxYd5ubNm6IfVkxMjN1xK1euNG1yAADgLFW4XEwk/WPFfrqQYV4lXD1F+jjcxTag1zEDTE9qsxFLhmMBPDMrA0cUC6XXHmwkrFOM2njzBjWjbiyMHAo1Gi10iIJ+wOeWnaFDh4oKyqVKlRKPRx55hCpWrGh9rTwAAMAbqcIcYNu+djma0udWjInevldapKbL1wtzDBxWMsA40FhtvrYBwUbikhzfysLFMduM6+5ouc0sOtdDyzrF83xvcHNRG0ixainXwGPLWqmiI8JcXg8AXrXscIo5AAD4G2ZXwjUSp2I0ddqxng6nhI9auk+zhQFXWWaBoWYlUktZNwM161RaZjZN/+7Pc0WGWWhWa6KkoxeoR+NK0laqjx9rSaEht8QRCvoBvy8qCAAAvsTMSrhxJZxXMtaTAeasWJ1WReQRHaoXKvDnSrhptdJwxGgNG9vCe3wuFmSqncs/T6aQ0DAxvow7jZueQtwAbwCxAwAICrQq4TpaT5pVKul0nIRYc7KAnLlynPX5+mhbCs0TLqIIKeEm0/VcrxDTIievgF5YddDpuRQxhUabwJ+A2AEABC1q1pOqZSJpXF3t9yixM+66g7RcOTJ9vthFxJlaWo1KbcVbgcWie65GMr94LW+lo+dKiSk02gT+BMQOACAo0bKecOYWo8SXaNX0eep2FpJeXGU8yTYaVbO+qDbUjHKeHq6G3swvWTeZo5hCo00QUGKnefPmtGnTJipTpgxNmzaN/vnPf1J0dLTnZwcACCocrRJ6bnx63uvKesJM+/YIda5fUYyhjBsXHUE/p2bQubQb1LpaGdp1Wr3SsCucuWj0FP6zvebTlzJpdtKJQsddvaFtaTEjFV+Pm0xNTKHRJggYsXP06FHKzMwUYmfq1Kmivg7EDgBAD1oBuTIuDb3vlanzciUrh5pN30DhYaGqHbiNwEX4uDaNs+uRtaqcvpRF97y+2fTsKr2xMnpq5qAgIAhosdO0aVN64okn6J577hHFBd98803N6sncMBQAAGQDcl11JjfyXlnrSWZ2PtsuyAy4MvKOiZ1FMT5npGXmiHo5Ws09WTCUig6nOUnHTemmrldYuhvfg8BjELBiZ9GiRfTyyy/T6tWrRS+stWvXinYRjvA+iB0AgN6AXK10aKPv9WZfJeWsrz7Y0KXQuZW27Tz2RdlnROhw/I6tW6tEZBjdW/sOeqRtVd1p3ooL7cSFa9Lvmf1wU00x5Y4LEwCviJ06derQ8uXLxc+hoaEifoerKQMAgCvcCcg1+l5XbRPMRDa7SCb2he/9XerH0/rDFwzNhVPW95y5Qgu3nxai53p2Pq09lErJ567qsuroLVDIsU5ENyixXrz0eEYtTQB4tF2EQkFBAYQOAEAadzpxG32vklHlacYm1rZr5ulu7Au7towKHY4XSr+RQ3OSThQKWlZrY6GF4jaUETohtx+Tnay11nh65gSA18UOc+rUKXrmmWcoMTFRPP7+97+LbQAA4IisS4mbehp9r9pxSp2XuBi2OpgP3+SX7z4nfbzRruay9G1yp2hKquXy48eLqw6JwoBmZV4pvay0LDoyWXG8n48DwK/Ezvr166l+/fq0a9cuaty4sXj89NNP1KBBA9q4caNnZgkACFhkGlwy3L3c8a98V+91lf3DgmfnxM7C6mE2ti40GTh13JNUKhPl0hpzOTOH2s5I0rSmyGZejb6/Fi0b3talVUuPGxIAvxI7EyZMoLFjxwqB89Zbb4kH/zxmzBh6/vnnPTNLAEDAYutSciZ4uNifWsdwrffKth3goGFOB1dcLmYjY7Hha1KrkWMWLOZOX5YTU1wBWct9JGt9qh1fwmkHd73jedrqBYBuscM1d4YNG1Zo+5NPPklHjhwxa14AgACG3RI7Tl2mr5N/E8+cLcXujvhY7Sabtm4NdrUo7y8VFUHzBjcr9F5+7SxlXc2lxW4XW0pHh4uHO7hytSmuHE/CAubfO8/qeo+a+8gdt6E3jgPAa+0i7rjjDkpOTqbatWvbbedtCFwGADjLvPnXQ01pyPyfXLo12NVi24NJXZDos9MorQt2nrxIl47upAVDW1H6zQKatvqw3XGcrt28SmmqEhdN3x5IpXQnFYq5tk6LqmVMK8rnzG0UHhZCy3adpdSMbHIXo1lseiswmz0eAF4TO8OHD6cRI0bQL7/8QnfffbfYtn37dnr99ddp3LhxhicCAAh8XBUAfLJ9NalxHJtNqlU4VtxestYdht0ufGNdc5Qo42YujVq6v9BcOV1724nLHOHicjyOgbnvjS1OU6jdddGwWBjb5S4x99GdaguBkpp+QwQjX8nMcWtsrSw2s7qVmz0eAF5zY02aNEkUDnz33XfpvvvuE4+5c+fSlClT6KWXXjI8EQBAYCOTebMq+TfTzuduNs/MtT+bUoPHVQq1Oy6aEAcxoPSZSigV5bbQ0ZqblstPybzSWxfH7PEAMIJuyw5XSeYAZX5cu3arsmbJkiUNnRwAEDzIZN6wxYZTwbllghlCw1lBQlekiu7n7lsUXFWBNlrgsEx0OM3or95ny4yAXldZbGZ2K0f3cxBwYscWiBwAgN4bcL+mFUWFX0e3hjfO7SkU0bXz1GVqX7uctCtHjajwUHrqvprCZaXWPuNWC4frbs/ZlfvI7G7l6H4OAq6oIAAAGHXXKJlZjm4NDvb19Lk9Dfe9UnNnaWaDRRWjEpH2f3Ny9lmdhJKFhAiPy13QB328k+ZuOenWPOcObAb3EShSuGXZAQAAI5k3fCO3dWuUKxFJBfkWemb5vkKtDpzhLJtHsYKwu+rK9WzhPhOxLteyyFPw3LWCph1dOacvZal2NlcLvNYK/DZK2ZLaJQAACEYgdgAApqA380Zxa/CN/J8r9utOz3aWzeOskWVUMQvNbEUeRSt+R6GgwEKLd5yW6uaujGdmQwVfu/0A8Gs3Vm5uLnXu3JlOnPBcJVAAQOCiN/NGV9NJB91gdExPt2HSaoFg64Ya+5/9TrOpbMcwo06Pv7r9APBLy054eDgdOHDAc7MBAAQ8spk3eptOWm4fOKx9NUqsn2DKmLKw0FLOb8R6YtQNZbYFBkX8QFFFtxvrkUceoU8++YRmzpzpmRkBAAIemcwbIxYLvlmvOZRKL/RSzyQy2wpSOiqcnmhfjZ7uWIv2nkkT4uNiRja9ylUJJa0n7ggwMy0wKOIHijK6xU5eXh4tWLCAkpKSqEWLFhQTE2O3nxuDAgCKNkpwsDPLjhGrhau6OmZYQrip5qQHGlBCrP28lfPxtS3YnuK0bk5CbKTVemJUgHF2mjKGkTo9heZ0u2UHsrBAUUS32Dl06BA1b95c/Hz8+PFCBQcBAEUbZ72xbG+07lgttESNu9WKGe6Q7kwQyNTNuZlXQBuPpIpxjAqwppVLWYWWnjo9yrWwuHnzL03oUma2WBfu4cXWKW6uiqJ+oKihW+xs2bLFMzMBAAR9byzbgGKjlYWdiRo9Yzre5/VYPpRA7AkrD6r27UrP+jMF3agA23fuqrAisSBRzqeVYablrlIKHPLnwj28XAlQAIIVw6nnJ0+epFOnTlGHDh0oKiqKLBYLLDsAFFGXlExvLMeWCnorC8sE2NqO6YrH2laljvUqGm5f0KluPIWGHFLdZ3u9W5+735Co49Yatu46tcDvtMxs0RDUVsQ4ijY9AhSAYEW32Ll8+TI99NBDwsLD4obT0GvUqEHDhg2jMmXK0L/+9S/PzBQA4LcuKdneWI7xNjzGiA7V6eP/prjMdpINsOUx/+/eW2M6vbbDF2h8z4aGXDm8Li+sOlioO7va9bLrSFaAyXQld4xV6tawgqYY1StAAQhWdLeL4AagnIJ+9uxZio6Otm5/+OGHad26dbrGmjFjBrVq1Ur02Cpfvjz169ePjh07ZnfMzZs3adSoUVS2bFkqUaIEDRgwgC5cuGB3DM+lV69eYj48znPPPScCqQEAxtGqV6PV5Vs2NsUxJfujbSlStW9ku2TzmK6EDsOVlR1r4ehZF2dCx/F6ec7zBjcv5DpzhYwLTBFAfZveKZ5tRYseAQpAMKPbsrNhwwZav349VapUyW577dq16cyZM7rG2rp1qxAyLHhYnLzwwgvUtWtXOnLkiDXLi8XVd999RytWrKBSpUrR6NGjqX///rR9+3axPz8/XwidhIQE+vHHH+n8+fP02GOPCUH22muv6b08AIBBi4BsbIqelGytzChX85ZFb/CwkTRy5XrLxERIFzQ0qx6OEQEKQDCiW+xkZmbaWXQUrly5QpGR+vqtOFqCFi1aJCwze/fuFbFA6enpoqbP0qVLqVOnTuKYhQsXUr169Wjnzp3Utm1bIb5YHHEqfHx8PDVt2pSmT59Ozz//PE2ZMoUiIow3FwSgqCJrEdj5y2VqX6uc7t5YMudg2HrCQke2W7beNG8WIrIxSXrHd7xevYLCjHo4egUoAMGKbjfWvffeS59++qn1NcftFBQU0KxZs+j+++93azIsbpi4uFv/ObDo4RYViYmJ1mPq1q1LVapUoR07dojX/NyoUSMhdBS6detGGRkZdPjwYbfmA0BRRfbGPGrJn+4sJTiYCZGIt3HH6sACZcepyyKNmp/5tZ4xGRZRaZk51hYOzy5PFs/8Wq1zud7xHa9XVlCwNcvdoGFlfdhVx+NpwTNjgYqKyiDY0W3ZYVHD/bH27NlDOTk5NH78eCEq2LKjuJaMwIJpzJgx1L59e2rYsKHYlpqaKiwzpUuXtjuWhQ3vU46xFTrKfmWfGtnZ2eKhwMKIYWHFD2AMZe2whoG/puWii1FkmGufy42cHBqzbC/NfrgpJdaLp851ytF7g5vQzLU/ixutbSXiIW2qUsfaZa3XInsOPs72+pOOXig0PguXCT3qUrnocJdjRobe2v9Agzto3Od7hRUqMuzP/WnXb9hdk5F1KRMVTi/3aSDWQ5l7s0olqWqZSNHVXGuE2MhiNLF7HSoZEUo3s3MMWXbU1sf2+hSUkSf3qkMF+XlUkE+Gwe+++WBN5ZBdnxAL54wbsMDMnTuX9u/fT9evXxdFBjn2pkIF43+JPP3007R27Vr64YcfrPFA7L564okn7IQJ07p1a2FFev3112nEiBEiVojjiBSysrJEzM+aNWuoR48ehc7F7q2pU6cW2s7nU3PRAQAAAMD/4Pv94MGDhS6JjY01t84OBwq/+OKLZBYcdLx69Wratm2bXeAzBx2z9ejq1at21h3OxuJ9yjG7du2yG0/J1lKOcWTixIk0btw4O8tO5cqVRXC0s8UCrhX2xo0bqUuXLiJAHAT2mrKFYOznydLBuAuGtrK6Q7Teq1gTFKuJchxjcXKc4prpNmebncXCcez42OI0vlsd+seK/YXGVPjXgIaUf24/TdoTStkFzi0n8x9tSW1rlhXnFr2xMm7SK98dpes5zrM91ebvzPKidww1XK0PExcdIdanfOytispmpZvjd998sKZyKJ4ZVxgSO2lpaSJw+OjRW83w6tevLywwSqyNLGxUeuaZZ2jVqlX0/fffU/Xq1e32c+8t/pA3bdokUs4ZTk3nVPN27dqJ1/z86quv0sWLF0VwM8NfEBYtPC81OJBaLZiaz4UvlftgHd3DNmCW3Sa+WtMejStRSGgYTfjyIF294dpUfCkrT8yR5z/tu2N0M1/9RspbeX/XhndazyFTy2fPqct0Jo2tvNo3aN4fVzKa5gxqUWhMjl15sOmdVKZEFF1id3ZBCGVrzFHhmc8P0MOtKtE3+887BCa7Fgm212lb96Z0TBSN6VqPrlzPFu69V9f+TFcyc6TH0EJmfc5fy6WEMiWkA771gt9988GaOkd2bXSLHba+9O7dW1h3WrZsKba98847NG3aNPr2229FFpUs7Ppi19HXX38tau0oMTY8Nldl5mcuVshWGBZSLGBYHLHA4Uwshq0xLGoeffRREU/EY7z00ktibL3ZYQD4WxE/jg+Z1fqWNYCFgbdhsVEyMpyGfPKTy2OVAFy9xQVtKwOzVYJFQFxMBJWKirC2S2CSjqjH4DnCIpFrzihjco+qr5J/F4Lik+2n6bOdKWJNZWCR9+E21zV7ZK5TrUAjCzCZwoS2WW9ayAZP83p4SuwA4K/oFjssIriA4Pvvv09hYWHWWjcjR44U+w4ePCg9Fo/BdOzY0W47p5c//vjj4ufZs2dTaGiosOxw7A5nWr333nvWY3kO7ALjmB8WQRyrM3ToUCG+AAgktMr6M+zqYQuIp8v6q6VhsxtHT0q5kSwrFjTpN3Jo1rqfVS08LFyW7zknNa4iupQxF24/7Va3cHdhkcbzUPtsZQsTctbbzAHOG5TKZnt9nfw7vdjL/bR2AIJa7HBPrC+++MIqdBj+ma0vtinpMsjERhcvXpzmzZsnHlpUrVpVBCMDEKjIFKvzdFl/Z60htHpYqaWUG6nt4qp/07Oda1Fmtut0IbYIKaLLSAFAT8DWpC/3/ebWPNjC5KqPFV+3K0sRczkzx65lBwBFAd11djjzSonVsYW3NWnSxKx5AVCk8HVZf1etIRi+0XIAsC2losJpTGJtIcIUlOKCIZK1XXLyCkSfKa1qzczHP8i5klpX+zPoVm+BQU+i1hndCCzelJpCjvB1c0ySDKiYDIoaUpadAwcOWH/++9//Ts8++6yw8ChxM1zNmC0vM2fO9NxMAQhifFnWX7Y1xKRe9QrlN7HFYXbSCVq84wz1a1pRiB4WMc4sQfx6YKvKtPrA73T6UhYt3nHaZdyKjFWH+eHkJSHc2PoRbDd0tUaqjiTWTxCWJFegYjIoakiJHW7BwJWSbd1OXEzQEc5153geAEDglPWXtSqNXLpP8xgO/l2w/bR4JMRG0qDWVejJ9tVoVfJvdkKmVPStzAkWSJ7gena+1d0TaDf0EpFhYv6ucCbi9LbsAKCoICV2UlKMZSMAAOSQuUl5qqy/2RaQ1IxsOzHDcTRs9eHsqjlJxz0eQ8Pjv7DqEG1/vpPTNfUXFAEyq39jenShfc0wNZyJOKVlh2x8FQBFBSmxwwHAAADP4ewmRR6+SXnaAsL9pzgjiq063hIdbGlq+epGeqRNFfpoW4rmmrqCxVLDO2Np09GL0h3LHeFz87Wn347b0RIgd9cuZ4pVhl14bNlyDDZPUKldBEBRwVBRwd9//120deBCftzTyhaO6QEA6EfrJqVU0fXUTcqVVcldLCYH6crCcT5cI+dvHaqrFAXURik+yPEvaZnZNGrpPsProoiZmf0biWdXAsQsq4xt7SKZbu4ABDu6xc6iRYvob3/7m2jQWbZsWRHLo8A/Q+wAYBzHmxRXUL50dKdUuwCjuHJ9+LMLSLauzLbxnUS7B655w0UFtRibeBeN7lRLrAkHbnMHdHeu31HMuBIgZlpleFyklwNgUOxMmjSJJk+eLPpLcbE/AIC52N6kuD/OmsKVHkzH2U12Uq/6NP27wtamQIFjiFjosLAY959bfbjUYMmxfPdZIXaMpq6zhWxgqypUrVy0qpiRESCwygDgB2KHO4wOHDgQQgeAIEO5yXJrgh2nLgubTrsa5UQFZf51f+p2vZ1AhEWDIl4i/6yH6jS1WzZwe/T9Nal2fElTRQmsMgD4WOxwr6oVK1bQhAkTTJ4KAMDXcN8kW+vO3C2nrFWUh7WvJlXDxR9hIaK3lpFs4Hb7WndICRO1Vhyw1gDgp2JnxowZ9MADD9C6deuoUaNGhTqOvvXWW2bODwDgJVy1bOBKyYFImehwISxkq0+zEGFhUmCxiK7kWh3f9dSscdaKA9lRAPip2Fm/fj3VqVNHvHYMUAYABB4yVZSX7TpLCbHF6UKGf9etcaR/szuFBUXJOku7fsOpeOFUeQ5Mdhavoyc7ypWIdNbvCgDgI7Hzr3/9ixYsWGDtSg4ACHxkqihzoC9nK3FhQF9kaUWHh1FWrlzbCFs4hdw262zMsr2FjlHkSp8mFWjUUvXO87bIZkfJtuLwZINXAICBRqCRkZHUvn17z8wGAOATZONZOMuILRF8s3d0FZW+3QrCU3z8WEtaNrwtjb7/VraUDI5Vp1mccM0iR/h65g1uJurxOBM6fI1LhrWhH57vJGWN8XWDVwCAQcsONwF999136Z133tH7VgBAEPTm4mBctdRohretPXSePt1xxtT5caG/i9ezhRut5h0x0u9TczNxzaI1KUQLhraiS1l5VC4mUphYOAPNVao5F0YMDQ2RtsL4ssErAMANsbNr1y7avHkzrV69mho0aFAoQHnlypV6hwQg4An0TJsWVcuIHlbcZkELDtbloF2+Vq3UaGWb2WKHm4mO/fxWjRyepwxjOtd2an3hz2jTsUv0zy/266qno0eY+LLBKwDADbFTunRp6t+/v963ARC0BHqmjTJ/Z0KH4aykIfN/EtaVKX20r83T7Sc4gFgGLhBYt0JJzXkmHb1AI5fu1z1HPcJEZi3YasViEwDgR2Jn4cKFnpkJAAFIoGfaaM3fGakZN0WBwQ80rk2mqak7yI53ISPb6Wcwc+3PuuamJ9Vcz1qw1eq+N7YEjDgGIBBBGWQADOIq04bh/XxcoM1fhokrD2pem9J+wjGQma0YZsKB0Vq4+gxYtMmitxGnzFqoieO3k07Q18m/ifghf/3eAFAkLDvVq1d3Wk/nl19+cXdOAAQEejJtvFH6X2/ckJHeT7akZeWK1hLta5WT7vH0+9Ub9I8V+8ksBreuQvO+P+Xxz8BII05b+H2d6sZT2xmbVN2FiqyZnXQ8IF2hAASd2BkzZozda25UuG/fPlFR+bnnnjNzbgD4Nd7MtGEhs+fUZU0hYyRuiFtDuAtbILTEDmMbyMxzfNXkrqaydUy3n/zDUNA4973idhBmBJxzM1JXcVGB6AoFIGhTz9WYN28e7dmzx4w5ARAQyAaqXrqWbc1gMkq3OdvoTFq2qpDRirth4aMVW8PvWWBCnyuLxSIED4swJYX70vVsKlciUpgrLmVmi3VKy8ymUUv3mRa/o8TPcKNS7t/lCj7ms51n6Yn21elv91YV2zjQ+mxatuqclPHHdqmj+bnptaTpFb0oOgiAD8WOFj169KCJEycigBkUGWSzjqZ/d5Tm/5BiyCXBGUN/xpeEFPqrf97g5jT9O+dxNxNWHrS7WSqxOmawdNdZp24kBT612REovJ7ckV0284uzydhNtHTnL/RCI6IJPeqKbCzHwGGZ+BwjljQj6eXedoUCEKyYFqD8xRdfUFycfJYCAIGOkmnDuPqbWxEnfJOUhUUJZwypodycJ319SKoQ3tzNJ02L1XGM25HBzFhbFhWKa0fPZ6Bg29hTLXCYXztzHSmWNMc1dPUZK+LYiH0GRQcB8LJlp1mzZnYBymzGTk1NpT/++IPee+89N6cDQGChZNo4/pVvhkuCRYmzjCEe87JkDMiC7b9Qy2plhIvpxIVrFGiUiCxGD7WsJNaOa9Jw/AtnLbG1hLfJfAaOsJDc/Fxn1WrQzlxXRntduZOSj6KDAHhZ7PTr18/udWhoKN1xxx3UsWNHqlu3rpvTASDwULKOFm1PES4rs1wSZv41n34jTxQENIMy0cUoLSuPvElmdh61rBpH6TdyRE0aNfcR96t6a8MxKbcaw0JS+SxkXUTuZuDJimN3avsAAEwQOy+//LLetwAQ9PBf7eVKRkodKyti/O2veb7xPtu5FlUtV8LausFbsIgYufR/LrOWZFtJKGw/eUlXiw8zMvAcU/JPX8qk2UknDMUOAQC8HKAMQFHH7D5IfPPljCGiTPIH+Eb89qaTNCaxNvkTtu6jf3a5S9d75245aWchmtSrHpWJidQUQGZ9xo69xeoklCxk7XG3tg8AwIDYYXeVs2KCDO/Py/OueRuAQMnO0uuS4BsiZwzlpOwtFNTqiTYMsizbdVZULpYNTvYGivvINvhYL/z+kUv32W1zzLAy+zN2VoAx0JrJAhAUYmfVqlWa+3bs2EHvvPMOFRQUmDUvAAIOZwGoRl0SifXiaU0KUXxscbs6O+yukQ1ONhO+ptSMbOrRMIHWHpIvSqhc8f/dW52+/N9vdsX1eDnMytaKKxEpxIhZ2WaOhf088RkraHWSBwB4Uez07du30LZjx47RhAkT6Ntvv6UhQ4bQtGnTTJgSAIGLVgCquy6J9WM60L5fr1n/6k9Nv0Fj/2Ne2wW91LwjRtfxttc/oUc9OwsGZ1e9//0pu1YJRmG3nyJGzNBPahlWnvqMAQB+FrPz+++/i0DlxYsXU7du3Sg5OZkaNmxo/uwACEA84ZJw/KufqxbLwBagtMwc011eXLmYLTTOivlx1tbk3g2FALG9fjULxrOJtal2+RgavWyfISuPrfuIx1cTI9ERYVRQYCGLJV/X2GoZVnA7ARDEYic9PZ1ee+01evfdd6lp06a0adMmuvfeez03OwACFE+7JGSqNyfERtLkBxrQqKX667q4EhVcudiVO2dG/8a6rBw9G1ekuRSimnVlew4Z91HhjKcsmpN0XLwvMowM4ZhhBbcTAEFYQXnWrFlUo0YNWr16NS1btox+/PFHCB0AdMAF6dgiw8Xw+JlfG0WmcvDNvAIKDVWvEmwERWQMbFWZVh/4nUpFRYh2FY5jl4oKFxlbLDb00rNxBdHLi4WcLXwO3v6BjorHihh5oHFFWr77rNtiz99KAQAAPGDZ4dicqKgoqlWrlnBf8UONlStX6jg9AEUDI72UXKHEjnDvK24J4Uh6Vq41uJYL7ilWDm7S+Y//JNOFDPUmmFqUig4Xz1wTxjFd+8TFTFq4PUVkQ93qQXWClu8+Z+j6XLmI9LqP3G2PgcJ+ABQhsfPYY4+5TD0HABRGqyu5Y6aPEfjGP+UbbuqZ6zK41tblMqVPA11tC7hdg5qgSlVJ1zbj+py5iFy5jxy7kTtrueEKFPYDoIiJnUWLFnl2JgAEIe70UpJBpn+WWvsCvW0Lrmer189yJpTMuD5nIkbNoqNmQYuLuWWRcsWYzrXp8z3nkGEFQBCCCsoAeBB3eym5wp32BYq7aPbG43aVhM3E3evT4wbUsqBdyXRdaJCLJD7TubZ4IMMKgOADYgcADyIrRrhujhHrBsffuBNcyzfy9rXKeUzsmNHUVMYNyKJNy4Img/I+ZFgBEJxA7IAij4x7xCi//CHX14q7pUdFhDl1l6hZNzi9vHR0uAhGNtq+QCaNnXyUyeTKDchM+eYwlSwe7lYQMscjuWt9AgD4LxA7oEjjiSwp27Hf3vRn5pIzuH2Cs2DepKMXaOTS/YVu+rYZVUbbFzhrgeAu7mYyyWRScfuKz3aeIV9anwAAQVJnB4BgQ3GPON5MFfcI7zeKYpHQC79Hrf7OzLU/Ow1yZusO98/Sqj/jqsaPErDsTj0etWal7mYyyQoQPX26tEAdHQCCF1h2QJHEG1lSet0qSjDvzlOXKTQ05FZNnOhbv6K3Mq5CNN/Hbpglw5pb32frjpO1XtnWt1l76Dx9ukPeWsJiq3ixMLvMMDMymbwhQFBHB4DgB2IHFEn8JUtKDW7vwIX5mMgwC81qLfe+S5nZ1LfpnW7V+LEN0NUjdpyJLXdQ4onM6mLuCOroAFA0gBsLFEncSdn2tEVCETrunlMmuFfLbaaIDD23fxZbLJRYcPGzGeLBti2GGTjW3NFqNQEACC4gdkCRRFaMKMfp7WtlRCy4exNvUbWMYeuVGSLDUy4nFiJjE2u7NQZ/Dvx57JyYSAuGthLb+JnbaEDoABD8QOyAIokrMaLcHPk4dgXd8/pmGvTxTnp2ebJ45tfOAphlGnWaCRfOu++NLXZzctd6ZQ1adgh8drZWnmJ0p9pO56EEaYe4CJSOKBZqnScKBgJQdIDYAUUSZ2LE9ua48Uiq4YwtrQwnEcwbbuxXr3SUdusDxznpsV5pWa74GrZP6KRpWXEn5kWPtYzHntKnvlMxM7N/I9X1hqsKAIAAZVBk0eoPFR8bSYNaV6EbOfmi2J87GVuOHbxPX8qkpT+doatZBYbm/O6gZvTs58miLo+rObkqFqhkIaVlZlP7mZvtM6liiwtxwfPna3s28S6qk1CycFFDgxlXRuobaX1ejnPQ2xUdABD8QOyAIk1hMZJFy3adpdlJrosBymZsKRlOfIOfk3TCUNE+xVUUGhKiKnQc57Tzl8vi2B4NE2jB9tOaBQf7NKmg2rWchc9Tn/2PPrCxiDiulVEh4U4XeJk5oOUDAMCv3Fjbtm2j3r17U8WKFSkkJIS++uoru/2PP/642G776N69u90xV65coSFDhlBsbCyVLl2ahg0bRtevX/fylYBARrk5RhYLpTlJx512EVdDJjbGWWaULANbVaH1R+SK5w1fvEfEFrHQYUIc9AhbQ+YNbk6f7/nV6TgTVx60cy8pa2U048qdDDGz5gAAKHr4VOxkZmZSkyZNaN68eZrHsLg5f/689bFs2TK7/Sx0Dh8+TBs3bqTVq1cLATVixAgvzB4EE+6IEZnYGCNFBm0pFRVOs5OOS9e+ycrNt3utaIdh7avRsuFtRRZSqehwUR/HGWlZucJKZBbuZIgBAEBAurF69OghHs6IjIykhIQE1X1Hjx6ldevW0e7du6lly5Zi27vvvks9e/akN998U1iMAJDBiBjRU3nX3b5Lt2rvuGfB4HevOZRKL/S6FUzMQcEy8HHcGT0Q6hsBAEBAxux8//33VL58eSpTpgx16tSJXnnlFSpb9pY/fseOHcJ1pQgdJjExkUJDQ+mnn36iBx98UHXM7Oxs8VDIyMgQz7m5ueIBjKGsXSCu4cX0TFGtWBZFdkzuVYcK8vOowN6QUghu+6BnfIXIUIvds7tcuX6D3t5wlNrUKEshBXlScwq15InPlK1fe8+k0aXr2VSuRKSo66PXhSS7Dnycp75Hgfw99VewpuaDNZVDdn1CLBaLmU2ODcPxOKtWraJ+/fpZty1fvpyio6OpevXqdOrUKXrhhReoRIkSQuSEhYXRa6+9RosXL6Zjx47ZjcXiaOrUqfT000+rnmvKlClivyNLly4V5wMAAACA/5OVlUWDBw+m9PR0EbsbkJadgQMHWn9u1KgRNW7cmGrWrCmsPZ07dzY87sSJE2ncuHF2lp3KlStT165dnS4WcK2wOXaqS5cuFB6uXQ/GH2GrRbc52+hChnqaNlMmOpye716Pypc0ZtVIOnqBxn6eLH6W/QuDLTrTWxbQpD2hlF1gbiCuY4aWVl2fyQ80oH+sSHZ6LKeqT+hRlxLrxRteB+XqZj/cVGqcovg99VewpuaDNZVD8cy4wq/FjiM1atSgcuXK0cmTJ4XY4Vieixcv2h2Tl5cnMrS04nyUOCB+OMJfKHyp3CcQ15FnO7FXA5H6zKjd2Cf3bkQ9G1c0JKQ4JiinIISevv8ukdqemvGnG1UGFjrZ+d7POnq5TyNRa+imi3OfScumkUv3SxXv69G4EoWEhumus2M2gfg99XewpuaDNXWO7NoElNj59ddf6fLly1Shwq3/DNu1a0dXr16lvXv3UosWLcS2zZs3U0FBAbVp08bHswWBhlbROgW+6XNXbz03Y7XieWwFGZt4F+Xm59PcLafIHygTXYzSsvKsrxNiI2lKnwZUKipCV+C2qyKLCmbV7AEAAL8XO1wPh600CikpKZScnExxcXHiwXE1AwYMEFYajtkZP3481apVi7p16yaOr1evnkhNHz58OH3wwQfC7Dd69Gjh/kImFjAC34QLCohGLr1l4dFb9E6meB67yriezxPtq3nNHeWKyb0bChHmKDy4lYMsskUWFVD8DwBQJOrs7Nmzh5o1ayYeDMfR8M+TJ08WAcgHDhygPn360F133SWKBbL15r///a+dC2rJkiVUt25d4dbilPN77rmHPvroIx9eFQhk2OU0/bsjqvucFb1z7POUk1fgsnje18m/uz1fthA59oKypURkmNQ4LHTUCvUZ6WSOtHEAgL/hU8tOx44dyVky2Pr1612OwRYgzqICwFXMDN+EOWWa1calzGyrBYNR9l+6li1V9I4L7Sm1Z9RcVXExES7bOlzOzKGSxcPo2k0XeetOavyM7lRLPLSujwOpuRu6q/5YWrWCXPXXUsOIQAIAAE8SUDE7AOhFTYg4diBnXFUSdmTUkv/RzAGNxM9qripnQseWvzSvRAt/lKuK7KzTuDN3EB/Hc9Tqj8VtKFYf+F2zz5TW+90psggAAN4EYgcELVoxM7boFTnW993IFY0yYyLC3IqX6dqgAkUUC6UPt6VIv0dvp3GtwGsWejx3bkOhlhGlWMSy8wpoTKKSRXZTWoC5srIhKBkA4C0gdkBQYkbjTRkyc/S7oBytIGyVaVKpDL309SE7ixALD67QnJOylxYMbUWXsvIMC4TC3d0zVTu7K0HYIzpUp2/2n3fIIouksYm1KeNGLq1K/o2uZObqEmBqVjZvp5sDAIomEDsgKHG38aYnUbOC9Gxcgbo1LJyKza0o1sgbfaSyn1gI3vP6ZtVjFHGoZmm6kJFNc5JOCCsR99fSY6HRsrLpzXADAAAjQOyAoGTjkVTyF+JiwqWsIGqp2BsOXRDPTy7ebS0q6MwaIuMmMioEbbPR2EokmzbuzMrG20J01OcBAAAjQOyAoIOtCAu2nyZ/gONidk5MFA009cap8HVwW4XXW8tZQ2TdRO6mhvP4czefoGcT75I63pW40lufBwAAAqrODgBmo1gR3CXktlDgOBV3bA1P3F1dBCCr1bBxxxriWO+HhQ4HTDuKCkUY8X6lFtCJC9fJXTjeh8eUQVZcoT4PAMBTwLIDggozYnVsY2oYpV+WEasO18CRxdYFpdT70aoJaGsNYUvRhJUHNY/j6+H9U745oplNZQRZ15Ns3R3U5wEAeAqIHRBU6LUOqNXZcYypYXfRhC8PinRzPczs30g6BsVVPSAtko6kCsHjLIWeBc+t/cbS7LWQdT25KkyI+jwAAE8DsQMCGseAXFFBWILR99ek9rXuKFRBWak6zDE23PqBX7P1omTxcBoy/yepsfWmU8vUA9Ji5b5fqcBiXlAvz71PkwrSdX9kxKWzwoSy9XkAAMAdIHaAX+Msu0i9o3iksNakZ+U6tSKM7VLH7uaqWCd4TG6v4BjkO6lXPZdtE0pHhdO8Ic2pbQ25uBwz6gHZdip3B1vxx3OPjgi3KzborutJq7Ch3gKJAABgBIgd4Lc4yy5i1DuKZ1u36bUiOKsFM2rpPlFo7yMVi4cyErePUPplBVo9oNrxJe3cURxrtGzXGUrNyFY93ojrybGwISooAwC8BcQO8EtcFaErdbvVgVZALu8vXizMLiDXmRVBphbM53t+pVJR4YVid9iSNKN/I0PWCX/JQHK00LAAmdKngTU42yzXk1otIQAA8DQQO8DvkEm7lgnIXTKsOYWGhkhZEWRqwWidM81gfy1vZSCFhBBZNPxkziw0cD0BAIIFiB3gd5jl2rmUmS1q23jawuJOBWBXmUq25zA6txH3/ul+02uhgesJABAMoKgg8DvMcu3osZq4Y2GxrXmjFyVTiXGUDyE22+Jj9c+PRRRbZib2rC+e2SJjC7+W6UmluJ70FEUEAAB/ApYd4DFk+jR5wrWj5ZqxnY9IUbfcsv4o6eYyFhZPiDRn7iKl6/n6MR1o7vcpNHfLSZfjPdauKvVoWMFuvWGhAQAUZSB2gFczqTiFu0xMpNMbrkwROg4K5lgZ2YwrV0X7lPoy7O5xHFMWd0Qai5FOdePp3ztO05krWVQ1LpoebVeNQiz5ous5XwtnesmIHRY6akHAeoODjYpVAADwNyB2gOkkHb1AI5fuLyQYWGiMXLrPZQE+mSJ0nP3EyATPyhTtY2HFQofTy7/Zf75Q7Z6beQUua/e4UwFYTYzN/yFFWHZ8UYlYtqkoAAAEAhA7wHRmrv1Z2jKi1cFbNhPI0TXjWP2YX8sU7VPSy1nobH3u/kJdyjceSfVYBWBnafa2Xc95fLaMOQpGs+YhMx+1zwoAAPwdiB1gOrdq28jdcC1Osplk4kxsXTNq1Y/jYiLoSmaO9Fz4vSx0HN09nkrDlkmzV47bdOg8Tf/uqOo4ZqWDy9QbMpp5BgAAvgJiB/gc22wmR5EhG2eiZY2QFTq2pKbfUN3uiSBfmfo+zEfbfqHZm05pWqgm9TLHvSQzH9kGoAAA4C9A7AC/wWg2k7v9pRxh60lURJiqeDC7ArDsNS/ZeUbz+lhqTf/uCHVr6L61RXY+/lL5GQAAZECdHWA6CbHFDRXBM5rNZHZ/qbTMHGElYmuRp5G95qs3cz1S58fofLxR+RkAAMwCYgeYzoQedcWzrOAJuZ3pYzSLyGwrg2JBYWsRW408iZJhZUb0ixnr4Go+7n5WAADgCyB2gOkk1otXrdirhhlZRLJWhriYcOkxzbSWOENJszdDUplhbXFV0dmsjC8AAPAmiNkBHkEtmJfdQxxbYuty4i7iT7SvJo41imz9GduU8uMXrtG8LaeCIjbFzPo6DBqAAgCCDYgd4DHUgnk5iHbu5pO0cHsKXb2RKx6zk07Q8t3nXN5ItSr6yhQh5P0RxUKt89lx6rKU2PF0bIoSXG0UT1lb0F4CABBMQOwAr8LF+eYkHdddsE6toi8HQg9qXYWqlYsWN+N5g5sXshxpWSO8WY3YzODq0lHhQiB6w9piduYZAAD4Cogd4DWMFqzTrOibcZNmJx3X3XuLkbEGce0aT1s29LrJWNCFhobA2gIAADqA2AFew0jBOj01dNhKM2rpPmEd6tv0TrdiU7jNxAurDtpZUTzRG0qPm4zP37ZmWYgbAADQCcQO8BpGCtbpcfMYaWfgGJty+lImLdieQqsPFK6x44neUK7cabYgCwoAAIyB1HPgNYwUrNPr5jGSMq7EpkQWCxXB0uk38jTHZqZ8c5i2n7wkmo1yoLM7tXicpXrbMufhpsiCAgAAg8CyA7yGkaBgo9lQekWSbFYUzzs1I5uGzP/JNPeWljutdHQ4PdmuClHWMVG7CAAAgDEgdoDXkE0Rt3XV6HHz2KJXJLnTcsIM95ZWqndBfh6tWXPM0JgAAABuATcW8CqKFcOxujK/VhMLsm4ed9sZuFM80Kz2Eoo7jYOrlQBtxR3Hz55uXQEAAMEKLDvA6+gtWKfl5jGzwJ67xQPVMsncQakrdOX6DZrVmujJxbsprkQUKhgDAIABIHaAT9BbsE4ta2rZrrMifsaMAntG3WWeaC9hW1coMsyz2WAAAFAUgNgBXkWr5YMRgTS6U23Tiv45iyfypoXIaOFFAAAA2kDsAK+h1vLBnUwms9sZaGZFRYXT0Lur0ue7f6ULGZ5tL2Gk8CIAAADnQOwAr6DZ8kHDNeOOBchT8UT1KsTqyiTzVuFFAAAAzoHYAR5Hr2vGbAuQXgGlZTFy1l7CrMBhI4UXAQAAOAdiB3gcPa6Z9Bs5uixAspgloPRmkunFX7qxAwBAMIE6O8DjyLpcUtNvOLUAGa1lo7jQHAWXIqB4vzv1cMx0rzmrK2SmuwwAAIoSEDvA48i6XK5k5khbgMxyoZlRDNDXhRcBAAA4B24s4HFkatgkxEZSXIlI04NzAzW7SXGX7Tx5kS4d3UkLhraitrXKw6IDAAAGgGUHeByZlg838wro7OVM04NzAzm7iddNic3xVjYaAAAEIxA7QMBunB2nLtPXyb+JZ7PdOoprplR0uOr+9Kxcmp10QnT6DjGx71WgZDd5ev0BAKAoAzcW8FiqtyPslpnyzREiytVMQVcwq5ZNIGQ3OVv/znXK+WxeAAAQLPjUsrNt2zbq3bs3VaxYkUJCQuirr76y22+xWGjy5MlUoUIFioqKosTERDpx4oTdMVeuXKEhQ4ZQbGwslS5dmoYNG0bXr1/38pUELmZnKjmD42JSM5zHz1zNyqUxiXeZFpzr79lNrtY/6egFn8wLAACCCZ+KnczMTGrSpAnNmzdPdf+sWbPonXfeoQ8++IB++ukniomJoW7dutHNm3/eGFjoHD58mDZu3EirV68WAmrEiBFevIrAxduZSrJxMdXKRdMPz3eiZcPb0tsDm4pnfm3UyuSv2U0y6z9z7c9enhUAAAQfPnVj9ejRQzzUYKvOnDlz6KWXXqK+ffuKbZ9++inFx8cLC9DAgQPp6NGjtG7dOtq9eze1bNlSHPPuu+9Sz5496c033xQWI+A/mUp64mc80ffKk8UAPbX+zixhAAAAAjxmJyUlhVJTU4XrSqFUqVLUpk0b2rFjhxA7/MyuK0XoMHx8aGiosAQ9+OCDqmNnZ2eLh0JGRoZ4zs3NFY+iwsX0TIoMs0gdl5sb6/I4Ze201rBZpZJUtUyk02aa8bHFxXGe+hxaVuHruHUtBfl5VJBPfr3+kaG39hel76WncfU9BfrBmpoP1lQO2fXxW7HDQodhS44t/FrZx8/ly5e321+sWDGKi4uzHqPGjBkzaOrUqYW2b9iwgaKjo6koMau1xEHn9tGac/ukx2SXohbj6rp6dyatX7eWigpS6+9iTYExsKbmgzU1H6ypc7KysiigxY4nmThxIo0bN87OslO5cmXq2rWrCHQuKnDMSLc521xaWtaP6SDl7mGFzb+YXbp0ofBw9RRzhoNuORbF1kWTEFucJvSoS4n17MWtu3jzXJ5Y/8qlI2n0XVku1xTII/s9BfJgTc0HayqH4pkJWLGTkJAgni9cuCCysRT4ddOmTa3HXLx40e59eXl5IkNLeb8akZGR4uEIf6GK0peKr3RirwYi64c0Ur15f/HICH3juljHHo0rUdeGd3o8foYznUYu3X/7uv4c+2xattiuFZws2x3dG+s/rls9yknZW+S+m94Aa2o+WFPzwZo6R3Zt/LaoYPXq1YVg2bRpk52C41icdu3aidf8fPXqVdq7d6/1mM2bN1NBQYGI7QH+m6nkyWaa7mSasUC65/XNNOjjnfTs8mTxzK/NTMHXs/6+tj4BAEAw4FPLDtfDOXnypF1QcnJysoi5qVKlCo0ZM4ZeeeUVql27thA/kyZNEhlW/fr1E8fXq1ePunfvTsOHDxfp6Wz2Gz16tAheRiaWvhtup7rx9O8dp+nMlSyqGhdNj7arRhHF/FYLO4UFzKLtKbozzZSaN44CSal54ynx5yxTDMGJAAAQ4GJnz549dP/991tfK3E0Q4cOpUWLFtH48eNFLR6um8MWnHvuuUekmhcv/udfwUuWLBECp3PnziILa8CAAaI2D3Cvgu/8H1JMr6Dsq2uRqf3jyhLEdifez6LEEy4t2VR7b7nYAAAgmPCp2OnYsaOop6MFV1WeNm2aeGjBVqClS5d6aIbBj7vWDNubb7noYn55LTK1fwKhO7q32noAAECw4bcBysDzuGvNcLz5cs0YTqXmDCgOQvaXayGJnlj+3h2d1/TPYGvvudgAACAYCMygjCKGpzpi67FmyPZ0YsZ+nuyxgF6j1+KqJ5a/d0fn9HlvtfUAAIBgA5YdP8eTrguj1gwZK4qe+BYz4lD0WFwSVNbP37uj36oTFOK3LjYAAPBnIHaCKJ5Gr2gwas0wM77FLDEney2TetWjx9tXL7QuSnd0XtcQjZo3vuyO7s8uNgAA8HfgxvJT9NaJMVIfRrFmaN2+eXsFFWuGWfEtWq4wRczpcYXJXoua0PH37uiy+MrFBgAA/g4sO36KHutJ+o0cQxlVRq0ZZsS3mJ3qbZZlxh+7oystLrjysz+62AAAwN+BZcdPkbWecCyHkUrB7lgzjFqEzAqO1sIsy4ynqzsbgXt5MY4zCRQXGwAA+BJYdvwUWevJlevZbsfP6LVmOLOikOTN11Op3v5qmXEXbhvBgs0xvkkt2BoAAIA9EDt+imx2UFxMhCmiQbaCr6MVRa1a8eyHm7q8+Xoy1VvvtQQKwSrkAADA00Ds+CmyMSiloiJ8FrzqePPlCsqXju6Ual7p76ne/kqwCjkAAPAkiNnxY2RiUMyIn3EH2/gWPedQxJwyR1sQhwIAAMBMYNkJcNdFINeH0XKFIQ4FAACAmUDsBIHrIpBFA+JQAAAAeBqInSAhkEUD4lAAAAB4EoidIAKiAQAAACgMApQBAAAAENRA7AAAAAAgqIHYAQAAAEBQg5gdoAr30uJgZ+69xS0puFJzQqmogAl6BgAAABQgdkAh1h06r9oGgm4XKPT3dHYAAADAFrixPGgZ2XHqMn2d/Jt41uo67o9ChwsUajUX5e28n48DAAAAAgFYdrxkGQkEiwgLMp63K1nG+/k4rusDlxYAAAB/B5YdL1lGUgPAIsIxOloWHUf4OD4eAAAA8HcgdrxkGVG28X5/dWlx5WVPHg8AAAD4AogdL1pGLH5uEeEWE548HgAAAPAFEDsmImvp8FeLCKeVc2yRTBQOH8fHAwAAAP4OxI6JyFo6/NUiwsHGHETtChZDfByCkwEAAAQCEDtetIyEBIBFhLPF3n+kuZinGryd9/tzVhkAAABgC1LPPWAZ4awrFja2YciKAAoEiwgLGU4rRwVlAAAAwQDEjocsI451dhICoM6OLSxo2tUs6+tpAAAAAG4DseNhywgHI3OMDiwiAAAAgG+A2PEQsIwAAAAA/gEClAEAAAAQ1EDsAAAAACCogdgBAAAAQFADsQMAAACAoAZiBwAAAABBDcQOAAAAAIIaiB0AAAAABDUQOwAAAAAIaiB2AAAAABDUoIIyN+y03GrZmZGR4eupBDS5ubmUlZUl1jE8PNzX0wkKsKbmgzU1H6yp+WBN5VDu28p9XAuIHSK6du2aeK5cubKvpwIAAAAAA/fxUqVKae4PsbiSQ0WAgoIC+v3336lkyZIUEoJmne4obBaM586do9jYWF9PJyjAmpoP1tR8sKbmgzWVgyUMC52KFStSaKh2ZA4sOxy4FBpKlSpV8vU0ggb+xcQvp7lgTc0Ha2o+WFPzwZq6xplFRwEBygAAAAAIaiB2AAAAABDUQOwA04iMjKSXX35ZPANzwJqaD9bUfLCm5oM1NRcEKAMAAAAgqIFlBwAAAABBDcQOAAAAAIIaiB0AAAAABDUQOwAAAAAIaiB2gG62bdtGvXv3FhUrueL0V199ZbefY94nT55MFSpUoKioKEpMTKQTJ074bL7BsKaPP/642G776N69u8/m6+/MmDGDWrVqJaqily9fnvr160fHjh2zO+bmzZs0atQoKlu2LJUoUYIGDBhAFy5c8Nmcg2FNO3bsWOh7+tRTT/lszv7O+++/T40bN7YWDmzXrh2tXbvWuh/fUfOA2AG6yczMpCZNmtC8efNU98+aNYveeecd+uCDD+inn36imJgY6tatm/jFBcbWlGFxc/78eetj2bJlXp1jILF161Zxk9i5cydt3LhRNFXs2rWrWGeFsWPH0rfffksrVqwQx3PLmP79+/t03oG+pszw4cPtvqf8/wFQhyv3z5w5k/bu3Ut79uyhTp06Ud++fenw4cNiP76jJsKp5wAYhb9Cq1atsr4uKCiwJCQkWN544w3rtqtXr1oiIyMty5Yt89EsA3tNmaFDh1r69u3rszkFOhcvXhTrunXrVut3Mjw83LJixQrrMUePHhXH7Nixw4czDdw1Ze677z7Ls88+69N5BTplypSxzJ8/H99Rk4FlB5hKSkoKpaamCteVbd+SNm3a0I4dO3w6t0Dn+++/F+6DOnXq0NNPP02XL1/29ZQChvT0dPEcFxcnnvkvabZM2H5P69atS1WqVMH31OCaKixZsoTKlStHDRs2pIkTJ1JWVpaPZhhY5Ofn0/Lly4WljN1Z+I6aCxqBAlNhocPEx8fbbefXyj6gH3Zhsfm6evXqdOrUKXrhhReoR48e4j+9sLAwX0/PrykoKKAxY8ZQ+/btxQ2Y4e9iREQElS5d2u5YfE+NrykzePBgqlq1qog9O3DgAD3//PMirmflypU+na8/c/DgQSFu2M3PcTmrVq2i+vXrU3JyMr6jJgKxA0AAMHDgQOvPjRo1EkGNNWvWFNaezp07+3Ru/g7HmRw6dIh++OEHX08l6Nd0xIgRdt9TTlLg7ycLdP6+gsKwpZaFDVvKvvjiCxo6dKiIzwHmAjcWMJWEhATx7JgxwK+VfcB9atSoIVwFJ0+e9PVU/JrRo0fT6tWracuWLSIYVIG/izk5OXT16lW74/E9Nb6marD7msH3VBu23tSqVYtatGghMt44UeHtt9/Gd9RkIHaAqbCbhX8RN23aZN2WkZEhsrLYVAvM4ddffxUxO/yXMygMx3nzTZldAps3bxbfS1v4xhIeHm73PWV3y9mzZ/E9NbimarDFgsH3VJ+LMDs7G99Rk4EbC+jm+vXrdn+pcVAy/6fGgYocPMe+/FdeeYVq164t/kOcNGmS8OFzXQ6gf035MXXqVFFjg4UkuwTGjx8v/hrklH6g7mZZunQpff3116IujBLjwMHyXPuJn4cNG0bjxo0T68s1Tp555hlxE2nbtq2vpx+Qa8rfS97fs2dPUReGY3Y4dbpDhw7C7QoKwwHcHHvH/29eu3ZNrB+7ptevX4/vqNmYnd4Fgp8tW7aI9EfHB6dHK+nnkyZNssTHx4uU886dO1uOHTvm62kH7JpmZWVZunbtarnjjjtEKmrVqlUtw4cPt6Smpvp62n6L2lryY+HChdZjbty4YRk5cqRI9Y2OjrY8+OCDlvPnz/t03oG8pmfPnrV06NDBEhcXJ37va9WqZXnuuecs6enpvp663/Lkk0+K3+eIiAjx+83/V27YsMG6H99R8wjhf0xXUAAAAAAAfgJidgAAAAAQ1EDsAAAAACCogdgBAAAAQFADsQMAAACAoAZiBwAAAABBDcQOAAAAAIIaiB0AAAAABDUQOwAA4EW4orhtw0x34f5J1apVoz179pg2JgDBBsQOAEWQkJAQp48pU6ZQsMGCYM6cOT6dA7dY4CaPL774onVbZmam6GrP/aMGDRpEWVlZhd7DbQK4+WtkZCRVrlyZevfube2ZxI0k//nPf9Lzzz/v9esBIFCA2AGgCHL+/HnrgwUA992x3cY3z0CAC8Dn5eV59ZxsSTHK/Pnz6e6776aqVatat/H6lyhRgjZs2CB6TNkKstOnT4uGkNx484033qCDBw/SunXr6P777xe9qhSGDBlCP/zwAx0+fNiNKwMgeIHYAaAIwg1FlQc3HGRrju225cuXU7169ah48eJUt25deu+99+xuwHz8f/7zH7r33nvFDbpVq1Z0/Phx2r17N7Vs2VLcvLnB4R9//GF93+OPPy6awXJT0zvuuEMIrKeeespOPHDH5xkzZogGsjxukyZN6IsvvrDu5yaJfO61a9cKEcCWDr7JcxPKvn37Unx8vDg3zycpKcn6vo4dO9KZM2dEY0rFesWwBatp06Z2a8Nig61AjvN+9dVXRUPbOnXqiO3nzp2jhx56iEqXLi0aNfL5eW2cwevKVhlb0tLS6K677qJGjRqJtb569ap138iRI8Vcd+3aJRrB8nENGjQQzSF37txpPa5MmTLUvn17MT4AoDAQOwAAO5YsWUKTJ08WN/ejR4/Sa6+9JuJMFi9ebHfcyy+/TC+99BL973//o2LFitHgwYNFN3Z20/z3v/8VXdx5HFvY9cJjsmhZtmwZrVy5UogfBRY6n376KX3wwQfCSsHi5JFHHqGtW7fajTNhwgSaOXOmGIs7anPXeO62zePv27ePunfvLkTF2bNnxfF8nkqVKtG0adOs1is98LjHjh2jjRs30urVqyk3N1d0nOfu33yt27dvFyKLz6tl+bly5QodOXJEiEFbRo8eTR9++CGFh4fTwoUL6dlnn7Uez1YctuDExMQUGo9Fli2tW7cWcwEAqGBiU1EAQADCXatLlSplfV2zZk3L0qVL7Y6ZPn26pV27duLnlJQU0e16/vz51v3Lli0T2zZt2mTdNmPGDEudOnWsr7mDO3fEzszMtG57//33LSVKlLDk5+dbbt68KTo7//jjj3bnHjZsmGXQoEF23eG/+uorl9fVoEEDy7vvvmt9zd2lZ8+ebXfMyy+/bGnSpIndNj6Gj7Wdd3x8vCU7O9u67d///re4toKCAus23h8VFWVZv3696nz27dsn5s7dwR3h6+du1rbj/fTTT+L4lStXWmR4++23LdWqVZM6FoCiRjE1AQQAKJpwsCy7hIYNG0bDhw+3bue4GHZ32cIWFQV2HzHsirHddvHiRbv3sFsqOjra+rpdu3bCKsMuIX7m4NwuXbrYvYctJc2aNbPb5mgd4feyS+q7774TVhue740bN6yWHXfh6+JAYIX9+/cLyxVbdmy5efOmWD81eD4MuwYdCQ0NFe5Dx3gkPbDbzzG4GQBwC4gdAICdaGA+/vhjatOmjd2+sLAwu9fsdlFQYmAct3EMjt5zs2C588477fZxbI4tjm4dDqhmF9Obb75JtWrVEjf+v/zlLy6DiVlkOIoKdlE54ng+nivHDLHLzxGOR1KjXLly1hgdrWNsqV27tljDn3/+mWRgt5fMuAAURSB2AAB21hgOwv3ll19Eho/ZsEWELRwsRhgOsuVYF06n5iBfFjVsjbnvvvt0jcsxMxxI/OCDD1rFiGOwMFtm8vPz7baxOODUbhY8imBLTk52eb7mzZvT559/TuXLlxeB1jLUrFlTHMtxOxxo7ApeD44LmjdvHv39738vJLg4kNk2bufQoUOFLGAAgFsgQBkAYAcHDHOg8DvvvCMyrDjdmQNn33rrLbfHZksLu8j4hr9mzRoR5MwBumxhYZcQW2g4KJmDodkdxMHP7777bqHgaDUrCAchs1BhQcXB0o5WJc6w2rZtG/3222906dIla5YWZ4zNmjVLnI+FBWd6uYKFIFtqOAOLg4JTUlJE0DWLkl9//VX1PXyNiYmJIntMFp4PCzQOPv7yyy/pxIkTIiibPxt2AdrC8+jatav02AAUJSB2AAB2/N///Z+oB8MCh2NV2MqyaNEikQ7uLp07dxbCpEOHDvTwww9Tnz597AoYTp8+XWR+sdji1HfObmK3lqtzsxDj9GuuYcNZWGwRYeuLLZyJxdYetrAo7h4+B6fVs6jgeCJO8ZapMcRxRyycqlSpQv379xfjsIjjmB1nlh5eW04Pl3XvcSFBFnxcV+cf//gHNWzYUMQ0cXbY+++/bz1ux44dlJ6eLlx3AIDChHCUssp2AAAwFXYzsevlq6++oqIK/3fLsVBsveJqyWbBwpHF2gsvvGDamAAEE7DsAACAl+C4oI8++sjUqs/sGmQLHAsoAIA6sOwAALwCLDsAAF8BsQMAAACAoAZuLAAAAAAENRA7AAAAAAhqIHYAAAAAENRA7AAAAAAgqIHYAQAAAEBQA7EDAAAAgKAGYgcAAAAAQQ3EDgAAAACCGogdAAAAAFAw8/97opfFiR2DpwAAAABJRU5ErkJggg==", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 👉 # TODO: scatter-plot temperature (x) vs rides (y) from df\n", + "import matplotlib.pyplot as plt \n", + "\n", + "x = df['temp']\n", + "y = df['rides']\n", + "\n", + "plt.scatter(x, y) \n", + "\n", + "plt.xlabel('Temperature (°C)')\n", + "plt.ylabel('Number of Rides')\n", + "plt.title('Temperature vs. Rides')\n", + "plt.grid(True)\n", + "\n", + "plt.show()\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "TBGXIzVV-E5u" + }, + "source": [ + "### Task 6 — Show the figure\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 👉 # TODO: call plt.show() so the plot appears\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + " " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + " " + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "DsAi", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.2/AI-DS_Nexus__A0_2__aminran.ipynb b/a0.1/a0.2/AI-DS_Nexus__A0_2__aminran.ipynb new file mode 100644 index 0000000..a64556f --- /dev/null +++ b/a0.1/a0.2/AI-DS_Nexus__A0_2__aminran.ipynb @@ -0,0 +1,275 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 2 — NumPy, pandas & Matplotlib Essentials\n", + "Welcome to your first data-science sprint! In this three-part mini-project you’ll touch the libraries every ML practitioner leans on daily:\n", + "\n", + "1. NumPy — fast n-dimensional arrays\n", + "\n", + "2. pandas — tabular data wrangling\n", + "\n", + "3. Matplotlib — quick, customizable plots\n", + "\n", + "Each part starts with “Quick-start notes”, then gives you two bite-sized tasks. Replace every # TODO with working Python in a notebook or script, run it, and check your results. Happy hacking! 😊\n" + ], + "metadata": { + "id": "ZS5lje_18xC2" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1 · NumPy 🧮\n", + "Quick-start notes\n", + "Core object: ndarray (n-dimensional array)\n", + "\n", + "Create data: np.array, np.arange, np.random.*\n", + "\n", + "Summaries: mean, std, sum, max, …\n", + "\n", + "Vectorised math beats Python loops for speed\n", + "\n" + ], + "metadata": { + "id": "u5vvtK-6840I" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Mock temperatures\n", + "\n" + ], + "metadata": { + "id": "UyNHtkGm9OgH" + } + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "lmaiboJe8E15" + }, + "outputs": [], + "source": [ + "# 👉 # TODO: import numpy and create an array of 365\n", + "# normally-distributed °C values (µ=20, σ=5) called temps\n", + "import numpy as np\n", + "temps = np.random.normal(loc=20, scale=5, size=365)\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Average temperature\n" + ], + "metadata": { + "id": "BtsB8QKM9Xs_" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: print the mean of temps\n", + "print(temps.mean())" + ], + "metadata": { + "id": "DSR8aS-F9Z10", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "7861261d-b699-4572-b6e0-fadf921c2c1b" + }, + "execution_count": 3, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "19.97889282522887\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2 · pandas 📊\n", + "Quick-start notes\n", + "Main structures: DataFrame, Series\n", + "\n", + "Read data: pd.read_csv, pd.read_excel, …\n", + "\n", + "Selection: .loc[label], .iloc[pos]\n", + "\n", + "Group & summarise: .groupby(...).agg(...)\n", + "\n" + ], + "metadata": { + "id": "8JjHX4wy9dPz" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 3 — Load ride log\n" + ], + "metadata": { + "id": "wRyJyhbt9uUr" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: read \"rides.csv\" into df\n", + "# (columns: date,temp,rides,weekday)\n", + "import pandas as pd\n", + "df=pd.read_csv(\"rides.csv\")\n" + ], + "metadata": { + "id": "1J4jcLct9yVO" + }, + "execution_count": 23, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 4 — Weekday averages" + ], + "metadata": { + "id": "byKd8SFK9w2y" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: compute and print mean rides per weekday\n", + "mean_perWeek = df.groupby('weekday')['rides'].mean()\n", + "print(mean_perWeek)" + ], + "metadata": { + "id": "4rLrxkPj90p3", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "e3a24165-16d2-48e3-de69-5b2bc964e121" + }, + "execution_count": 24, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "weekday\n", + "Friday 1290.333333\n", + "Monday 1143.666667\n", + "Saturday 1047.000000\n", + "Sunday 1097.000000\n", + "Thursday 1370.333333\n", + "Tuesday 1137.666667\n", + "Wednesday 1229.000000\n", + "Name: rides, dtype: float64\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 3 · Matplotlib 📈\n", + "Quick-start notes\n", + "Workhorse: pyplot interface (import matplotlib.pyplot as plt)\n", + "\n", + "Figure & axes: fig, ax = plt.subplots()\n", + "\n", + "Common plots: plot, scatter, hist, imshow\n", + "\n", + "Display inline in Jupyter with %matplotlib inline or %matplotlib notebook" + ], + "metadata": { + "id": "gbGMbtLf94M4" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 5 — Scatter plot" + ], + "metadata": { + "id": "QOsToPh2-AnZ" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: scatter-plot temperature (x) vs rides (y) from df\n", + "import matplotlib.pyplot as plt\n", + "plt.scatter(df['temp'], df['rides'])\n", + "plt.title('Temperature vs Rides')\n", + "plt.xlabel('Temperature (°C)')\n", + "plt.ylabel('Number of Rides')\n", + "plt.grid(True)\n" + ], + "metadata": { + "id": "_pCU2mIH-DAi", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 472 + }, + "outputId": "6874ab05-fb42-420f-f2df-a1803b218af3" + }, + "execution_count": 29, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 6 — Show the figure\n", + "\n" + ], + "metadata": { + "id": "TBGXIzVV-E5u" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: call plt.show() so the plot appears\n", + "plt.show()\n" + ], + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "execution_count": 30, + "outputs": [] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.2/AI-DS_Nexus__A0_2__rsayyareh.ipynb b/a0.1/a0.2/AI-DS_Nexus__A0_2__rsayyareh.ipynb new file mode 100644 index 0000000..3beea20 --- /dev/null +++ b/a0.1/a0.2/AI-DS_Nexus__A0_2__rsayyareh.ipynb @@ -0,0 +1,326 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "ZS5lje_18xC2" + }, + "source": [ + "# 📚 Assignment 2 — NumPy, pandas & Matplotlib Essentials\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "\n", + "------------------------------------------------\n", + "\n", + "\n", + "Welcome to your first data-science sprint! In this three-part mini-project you’ll touch the libraries every ML practitioner leans on daily:\n", + "\n", + "1. NumPy — fast n-dimensional arrays\n", + "\n", + "2. pandas — tabular data wrangling\n", + "\n", + "3. Matplotlib — quick, customizable plots\n", + "\n", + "Each part starts with “Quick-start notes”, then gives you two bite-sized tasks. Replace every # TODO with working Python in a notebook or script, run it, and check your results. Happy hacking! 😊\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u5vvtK-6840I" + }, + "source": [ + "## 1 · NumPy 🧮\n", + "Quick-start notes\n", + "Core object: ndarray (n-dimensional array)\n", + "\n", + "Create data: np.array, np.arange, np.random.*\n", + "\n", + "Summaries: mean, std, sum, max, …\n", + "\n", + "Vectorised math beats Python loops for speed\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UyNHtkGm9OgH" + }, + "source": [ + "### Task 1 — Mock temperatures\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "lmaiboJe8E15" + }, + "outputs": [], + "source": [ + "# 👉 # TODO: import numpy and create an array of 365\n", + "# normally-distributed °C values (µ=20, σ=5) called temps\n", + "import numpy as np\n", + "temps = np.random.normal(loc=20, scale=5, size=365)\n", + "print(temps)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BtsB8QKM9Xs_" + }, + "source": [ + "### Task 2 — Average temperature\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "DSR8aS-F9Z10" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "19.524055016516442\n" + ] + } + ], + "source": [ + "# 👉 # TODO: print the mean of temps\n", + "m_temps = temps.mean()\n", + "print(m_temps)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8JjHX4wy9dPz" + }, + "source": [ + "## 2 · pandas 📊\n", + "Quick-start notes\n", + "Main structures: DataFrame, Series\n", + "\n", + "Read data: pd.read_csv, pd.read_excel, …\n", + "\n", + "Selection: .loc[label], .iloc[pos]\n", + "\n", + "Group & summarise: .groupby(...).agg(...)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wRyJyhbt9uUr" + }, + "source": [ + "### Task 3 — Load ride log\n" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "id": "1J4jcLct9yVO" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "RangeIndex: 366 entries, 0 to 365\n", + "Data columns (total 4 columns):\n", + " # Column Non-Null Count Dtype \n", + "--- ------ -------------- ----- \n", + " 0 date 366 non-null object\n", + " 1 temp 366 non-null int64 \n", + " 2 rides 366 non-null int64 \n", + " 3 weekday 366 non-null object\n", + "dtypes: int64(2), object(2)\n", + "memory usage: 11.6+ KB\n" + ] + } + ], + "source": [ + "# 👉 # TODO: read \"rides.csv\" into df\n", + "# (columns: date,temp,rides,weekday)\n", + "import numpy as np\n", + "import pandas as pd\n", + "df = pd.read_csv('rides.csv')\n", + "# df.shape\n", + "# df.head()\n", + "df.info()\n", + "# df.describe(include = 'all')\n", + "# df.columns\n", + "# df.index\n", + "# type(df)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "byKd8SFK9w2y" + }, + "source": [ + "### Task 4 — Weekday averages" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "id": "4rLrxkPj90p3" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "weekday\n", + "Friday 939.094340\n", + "Monday 959.173077\n", + "Saturday 1003.509434\n", + "Sunday 946.730769\n", + "Thursday 933.634615\n", + "Tuesday 917.538462\n", + "Wednsday 1025.096154\n", + "Name: rides, dtype: float64" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# 👉 # TODO: compute and print mean rides per weekday\n", + "\n", + "# df['rides'].sum()\n", + "# df['rides'].count()\n", + "# df['rides'].sum()/df['rides'].count()\n", + "# df['rides'].mean()\n", + "df.groupby('weekday')['rides'].mean()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gbGMbtLf94M4" + }, + "source": [ + "## 3 · Matplotlib 📈\n", + "Quick-start notes\n", + "Workhorse: pyplot interface (import matplotlib.pyplot as plt)\n", + "\n", + "Figure & axes: fig, ax = plt.subplots()\n", + "\n", + "Common plots: plot, scatter, hist, imshow\n", + "\n", + "Display inline in Jupyter with %matplotlib inline or %matplotlib notebook" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QOsToPh2-AnZ" + }, + "source": [ + "### Task 5 — Scatter plot" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "id": "_pCU2mIH-DAi" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 👉 # TODO: scatter-plot temperature (x) vs rides (y) from df\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "x = df['temp']\n", + "y = df['rides']\n", + "plt.scatter(y, x)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "TBGXIzVV-E5u" + }, + "source": [ + "### Task 6 — Show the figure\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "outputs": [], + "source": [ + "# 👉 # TODO: call plt.show() so the plot appears\n", + "plt.show()\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.7" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.2/AI-DS_Nexus__A0_2_amirhosseinaref_a1a481.ipynb b/a0.1/a0.2/AI-DS_Nexus__A0_2_amirhosseinaref_a1a481.ipynb new file mode 100644 index 0000000..f2d64c2 --- /dev/null +++ b/a0.1/a0.2/AI-DS_Nexus__A0_2_amirhosseinaref_a1a481.ipynb @@ -0,0 +1,636 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 2 — NumPy, pandas & Matplotlib Essentials\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "\n", + "------------------------------------------------\n", + "\n", + "\n", + "Welcome to your first data-science sprint! In this three-part mini-project you’ll touch the libraries every ML practitioner leans on daily:\n", + "\n", + "1. NumPy — fast n-dimensional arrays\n", + "\n", + "2. pandas — tabular data wrangling\n", + "\n", + "3. Matplotlib — quick, customizable plots\n", + "\n", + "Each part starts with “Quick-start notes”, then gives you two bite-sized tasks. Replace every # TODO with working Python in a notebook or script, run it, and check your results. Happy hacking! 😊\n" + ], + "metadata": { + "id": "ZS5lje_18xC2" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1 · NumPy 🧮\n", + "Quick-start notes\n", + "Core object: ndarray (n-dimensional array)\n", + "\n", + "Create data: np.array, np.arange, np.random.*\n", + "\n", + "Summaries: mean, std, sum, max, …\n", + "\n", + "Vectorised math beats Python loops for speed\n", + "\n" + ], + "metadata": { + "id": "u5vvtK-6840I" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Mock temperatures\n", + "\n" + ], + "metadata": { + "id": "UyNHtkGm9OgH" + } + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "lmaiboJe8E15" + }, + "outputs": [], + "source": [ + "# 👉 # TODO: import numpy and create an array of 365\n", + "# normally-distributed °C values (µ=20, σ=5) called temps\n", + "import numpy as np\n", + "temps = np.random.normal(loc=20, scale=5, size=365)\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Average temperature\n" + ], + "metadata": { + "id": "BtsB8QKM9Xs_" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: print the mean of temps\n", + "print(f\"temps mean:, {temps.mean()}\")\n" + ], + "metadata": { + "id": "DSR8aS-F9Z10", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "2241ea6b-1599-402a-f29c-6a7487dcfa64" + }, + "execution_count": 2, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "temps mean:, 20.022761005295422\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2 · pandas 📊\n", + "Quick-start notes\n", + "Main structures: DataFrame, Series\n", + "\n", + "Read data: pd.read_csv, pd.read_excel, …\n", + "\n", + "Selection: .loc[label], .iloc[pos]\n", + "\n", + "Group & summarise: .groupby(...).agg(...)\n", + "\n" + ], + "metadata": { + "id": "8JjHX4wy9dPz" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 3 — Load ride log\n" + ], + "metadata": { + "id": "wRyJyhbt9uUr" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: read \"rides.csv\" into df\n", + "# (columns: date,temp,rides,weekday)\n", + "import pandas as pd\n", + "df = pd.read_csv(\"rides.csv\")\n", + "print(df.head())\n", + "print(\"---------------------------------------------\")\n", + "print(df.info())\n", + "print(\"---------------------------------------------\")\n", + "df.describe()\n" + ], + "metadata": { + "id": "1J4jcLct9yVO", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 665 + }, + "outputId": "b9974b3a-d1d3-4914-8b73-acb70a0a46f6" + }, + "execution_count": 4, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + " date temp rides weekday\n", + "0 2024-01-01 13.3 141 Monday\n", + "1 2024-01-02 18.4 174 Tuesday\n", + "2 2024-01-03 25.3 256 Wednesday\n", + "3 2024-01-04 19.5 188 Thursday\n", + "4 2024-01-05 25.6 234 Friday\n", + "---------------------------------------------\n", + "\n", + "RangeIndex: 365 entries, 0 to 364\n", + "Data columns (total 4 columns):\n", + " # Column Non-Null Count Dtype \n", + "--- ------ -------------- ----- \n", + " 0 date 365 non-null object \n", + " 1 temp 365 non-null float64\n", + " 2 rides 365 non-null int64 \n", + " 3 weekday 365 non-null object \n", + "dtypes: float64(1), int64(1), object(2)\n", + "memory usage: 11.5+ KB\n", + "None\n", + "---------------------------------------------\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " temp rides\n", + "count 365.000000 365.000000\n", + "mean 20.140548 200.452055\n", + "std 5.229513 55.024430\n", + "min 6.500000 74.000000\n", + "25% 16.600000 161.000000\n", + "50% 19.900000 196.000000\n", + "75% 24.000000 239.000000\n", + "max 33.000000 352.000000" + ], + "text/html": [ + "\n", + "
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    \n" + ], + "application/vnd.google.colaboratory.intrinsic+json": { + "type": "dataframe", + "summary": "{\n \"name\": \"df\",\n \"rows\": 8,\n \"fields\": [\n {\n \"column\": \"temp\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 123.04410355649199,\n \"min\": 5.229512586917965,\n \"max\": 365.0,\n \"num_unique_values\": 8,\n \"samples\": [\n 20.140547945205476,\n 19.9,\n 365.0\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"rides\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 113.42435405929838,\n \"min\": 55.02443041227042,\n \"max\": 365.0,\n \"num_unique_values\": 8,\n \"samples\": [\n 200.45205479452054,\n 196.0,\n 365.0\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n }\n ]\n}" + } + }, + "metadata": {}, + "execution_count": 4 + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 4 — Weekday averages" + ], + "metadata": { + "id": "byKd8SFK9w2y" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: compute and print mean rides per weekday\n", + "rides_per_weekday = df.groupby(\"weekday\")[\"rides\"].mean()\n", + "print(rides_per_weekday)" + ], + "metadata": { + "id": "4rLrxkPj90p3", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "9eca0c8b-baf6-445f-8e9a-8b27cb4945a1" + }, + "execution_count": 5, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "weekday\n", + "Friday 195.942308\n", + "Monday 196.830189\n", + "Saturday 188.884615\n", + "Sunday 203.134615\n", + "Thursday 206.403846\n", + "Tuesday 201.461538\n", + "Wednesday 210.576923\n", + "Name: rides, dtype: float64\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 3 · Matplotlib 📈\n", + "Quick-start notes\n", + "Workhorse: pyplot interface (import matplotlib.pyplot as plt)\n", + "\n", + "Figure & axes: fig, ax = plt.subplots()\n", + "\n", + "Common plots: plot, scatter, hist, imshow\n", + "\n", + "Display inline in Jupyter with %matplotlib inline or %matplotlib notebook" + ], + "metadata": { + "id": "gbGMbtLf94M4" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 5 — Scatter plot" + ], + "metadata": { + "id": "QOsToPh2-AnZ" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: scatter-plot temperature (x) vs rides (y) from df\n", + "import matplotlib.pyplot as plt\n", + "plt.scatter(df[\"temp\"], df[\"rides\"], alpha= 0.5, color=\"green\")\n", + "plt.xlabel(\"Tempreture (°C)\")\n", + "plt.ylabel(\"Rides\")\n", + "plt.title(\"Tempreture vs Rides\")\n", + "plt.grid(True)\n" + ], + "metadata": { + "id": "_pCU2mIH-DAi", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 472 + }, + "outputId": "315ead2a-9ffb-423d-85e4-b67ebcec3731" + }, + "execution_count": 8, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 6 — Show the figure\n", + "\n" + ], + "metadata": { + "id": "TBGXIzVV-E5u" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: call plt.show() so the plot appears\n", + "plt.show()\n", + "print(\"Correlation coefficient:\", df['temp'].corr(df['rides']))\n" + ], + "metadata": { + "id": "ycvsNyqh-GRM", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "c966159f-256a-4d32-f6c7-b61e24a2bf81" + }, + "execution_count": 9, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Correlation coefficient: 0.9332447311711161\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.2/AI-DS_Nexus__A0_2_itsalikabiri_ff9265.ipynb b/a0.1/a0.2/AI-DS_Nexus__A0_2_itsalikabiri_ff9265.ipynb new file mode 100644 index 0000000..a3b2caf --- /dev/null +++ b/a0.1/a0.2/AI-DS_Nexus__A0_2_itsalikabiri_ff9265.ipynb @@ -0,0 +1,321 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "ZS5lje_18xC2" + }, + "source": [ + "# 📚 Assignment 2 — NumPy, pandas & Matplotlib Essentials\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "\n", + "------------------------------------------------\n", + "\n", + "\n", + "Welcome to your first data-science sprint! In this three-part mini-project you’ll touch the libraries every ML practitioner leans on daily:\n", + "\n", + "1. NumPy — fast n-dimensional arrays\n", + "\n", + "2. pandas — tabular data wrangling\n", + "\n", + "3. Matplotlib — quick, customizable plots\n", + "\n", + "Each part starts with “Quick-start notes”, then gives you two bite-sized tasks. Replace every # TODO with working Python in a notebook or script, run it, and check your results. Happy hacking! 😊\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u5vvtK-6840I" + }, + "source": [ + "## 1 · NumPy 🧮\n", + "Quick-start notes\n", + "Core object: ndarray (n-dimensional array)\n", + "\n", + "Create data: np.array, np.arange, np.random.*\n", + "\n", + "Summaries: mean, std, sum, max, …\n", + "\n", + "Vectorised math beats Python loops for speed\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UyNHtkGm9OgH" + }, + "source": [ + "### Task 1 — Mock temperatures\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "lmaiboJe8E15" + }, + "outputs": [], + "source": [ + "# 👉 # TODO: import numpy and create an array of 365\n", + "# normally-distributed °C values (µ=20, σ=5) called temps\n", + "import numpy as np\n", + "temps = np.random.normal(20, 5, 365)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BtsB8QKM9Xs_" + }, + "source": [ + "### Task 2 — Average temperature\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "DSR8aS-F9Z10" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "19.651430832266538\n", + "19.651430832266538\n" + ] + } + ], + "source": [ + "# 👉 # TODO: print the mean of temps\n", + "print(temps.mean())\n", + "print(np.mean(temps))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8JjHX4wy9dPz" + }, + "source": [ + "## 2 · pandas 📊\n", + "Quick-start notes\n", + "Main structures: DataFrame, Series\n", + "\n", + "Read data: pd.read_csv, pd.read_excel, …\n", + "\n", + "Selection: .loc[label], .iloc[pos]\n", + "\n", + "Group & summarise: .groupby(...).agg(...)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wRyJyhbt9uUr" + }, + "source": [ + "### Task 3 — Load ride log\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "id": "1J4jcLct9yVO" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " date temp rides weekday\n", + "0 2024-01-01 13.3 141 Monday\n", + "1 2024-01-02 18.4 174 Tuesday\n", + "2 2024-01-03 25.3 256 Wednesday\n", + "3 2024-01-04 19.5 188 Thursday\n", + "4 2024-01-05 25.6 234 Friday\n", + "5 2024-01-06 24.4 253 Saturday\n", + "6 2024-01-07 28.6 297 Sunday\n", + "7 2024-01-08 21.8 183 Monday\n", + "8 2024-01-09 21.0 213 Tuesday\n", + "9 2024-01-10 20.0 162 Wednesday\n", + "10 2024-01-11 19.0 221 Thursday\n" + ] + } + ], + "source": [ + "# 👉 # TODO: read \"rides.csv\" into df\n", + "# (columns: date,temp,rides,weekday)\n", + "import pandas as pd\n", + "\n", + "df = pd.read_csv(\"rides.csv\")\n", + "print(df.head(11))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "byKd8SFK9w2y" + }, + "source": [ + "### Task 4 — Weekday averages" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "id": "4rLrxkPj90p3" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "weekday\n", + "Friday 195.942308\n", + "Monday 196.830189\n", + "Saturday 188.884615\n", + "Sunday 203.134615\n", + "Thursday 206.403846\n", + "Tuesday 201.461538\n", + "Wednesday 210.576923\n", + "Name: rides, dtype: float64" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# 👉 # TODO: compute and print mean rides per weekday\n", + "df.groupby(\"weekday\")[\"rides\"].mean()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gbGMbtLf94M4" + }, + "source": [ + "## 3 · Matplotlib 📈\n", + "Quick-start notes\n", + "Workhorse: pyplot interface (import matplotlib.pyplot as plt)\n", + "\n", + "Figure & axes: fig, ax = plt.subplots()\n", + "\n", + "Common plots: plot, scatter, hist, imshow\n", + "\n", + "Display inline in Jupyter with %matplotlib inline or %matplotlib notebook" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QOsToPh2-AnZ" + }, + "source": [ + "### Task 5 — Scatter plot" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "id": "_pCU2mIH-DAi" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 👉 # TODO: scatter-plot temperature (x) vs rides (y) from df\n", + "\n", + "import matplotlib.pyplot as plt\n", + "x = df[\"temp\"]\n", + "y = df[\"rides\"]\n", + "h = plt.scatter(x, y)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "TBGXIzVV-E5u" + }, + "source": [ + "### Task 6 — Show the figure\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 👉 # TODO: call plt.show() so the plot appears\n", + "\n", + "import matplotlib.pyplot as plt\n", + "x = df[\"temp\"]\n", + "y = df[\"rides\"]\n", + "h = plt.scatter(x, y)\n", + "plt.show()" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.10" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.2/AI_DS_Nexus__A0_2__MrAshki.ipynb b/a0.1/a0.2/AI_DS_Nexus__A0_2__MrAshki.ipynb new file mode 100644 index 0000000..9989055 --- /dev/null +++ b/a0.1/a0.2/AI_DS_Nexus__A0_2__MrAshki.ipynb @@ -0,0 +1,395 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 2 — NumPy, pandas & Matplotlib Essentials\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "\n", + "------------------------------------------------\n", + "\n", + "\n", + "Welcome to your first data-science sprint! In this three-part mini-project you’ll touch the libraries every ML practitioner leans on daily:\n", + "\n", + "1. NumPy — fast n-dimensional arrays\n", + "\n", + "2. pandas — tabular data wrangling\n", + "\n", + "3. Matplotlib — quick, customizable plots\n", + "\n", + "Each part starts with “Quick-start notes”, then gives you two bite-sized tasks. Replace every # TODO with working Python in a notebook or script, run it, and check your results. Happy hacking! 😊\n" + ], + "metadata": { + "id": "ZS5lje_18xC2" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1 · NumPy 🧮\n", + "Quick-start notes\n", + "Core object: ndarray (n-dimensional array)\n", + "\n", + "Create data: np.array, np.arange, np.random.*\n", + "\n", + "Summaries: mean, std, sum, max, …\n", + "\n", + "Vectorised math beats Python loops for speed\n", + "\n" + ], + "metadata": { + "id": "u5vvtK-6840I" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Mock temperatures\n", + "\n" + ], + "metadata": { + "id": "UyNHtkGm9OgH" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "lmaiboJe8E15", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "5f7971bc-bf12-44e7-ce42-b85ca432be69" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[17.12 18.81 16.95 22.06 18.97 21.39 15.33 16.36 21.79 17.35]\n" + ] + } + ], + "source": [ + "# 👉 # TODO: import numpy and create an array of 365\n", + "# normally-distributed °C values (µ=20, σ=5) called temps\n", + "\n", + "import numpy as np\n", + "\n", + "# پارامترها: میانگین (loc)، انحراف معیار (scale)، تعداد (size)\n", + "temps = np.random.normal(loc=20, scale=5, size=365)\n", + "temps = np.round(temps, 2)\n", + "print(temps [:10])\n" + ] + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "\n", + "temps = np.random.normal(loc=20, scale=5, size=365)\n", + "\n", + "df_temps = pd.DataFrame(np.round(temps, 2), columns=['Daily Temperature'])\n", + "\n", + "print(df_temps.head(10))" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "_cHxB0VXvylf", + "outputId": "31af601a-816e-48b9-b354-9404042f6e2f" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + " Daily Temperature\n", + "0 28.97\n", + "1 17.93\n", + "2 24.73\n", + "3 19.93\n", + "4 20.24\n", + "5 20.45\n", + "6 19.09\n", + "7 18.54\n", + "8 26.81\n", + "9 12.02\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Average temperature\n" + ], + "metadata": { + "id": "BtsB8QKM9Xs_" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: print the mean of temps\n", + "avg_temp = np.mean(temps)\n", + "print(avg_temp)\n" + ], + "metadata": { + "id": "DSR8aS-F9Z10", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "2f6e0f17-558d-474b-920a-74e8d31c3514" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "20.154454942016926\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "avg_temp = temps.mean()\n", + "print(f\"میانگین دما: {avg_temp:.2f}\")" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "vWgNLGKfxMZB", + "outputId": "63ced4c2-b1a1-4734-ff60-69b20602ead6" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "میانگین دما: 20.15\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2 · pandas 📊\n", + "Quick-start notes\n", + "Main structures: DataFrame, Series\n", + "\n", + "Read data: pd.read_csv, pd.read_excel, …\n", + "\n", + "Selection: .loc[label], .iloc[pos]\n", + "\n", + "Group & summarise: .groupby(...).agg(...)\n", + "\n" + ], + "metadata": { + "id": "8JjHX4wy9dPz" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 3 — Load ride log\n" + ], + "metadata": { + "id": "wRyJyhbt9uUr" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: read \"rides.csv\" into df\n", + "# (columns: date,temp,rides,weekday)\n", + "import pandas as pd\n", + "\n", + "\n", + "df = pd.read_csv(\"rides.csv\")\n", + "\n", + "print(df.head())\n", + "\n" + ], + "metadata": { + "id": "1J4jcLct9yVO", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "83f5323a-351a-41d9-ab32-307ad0b9f58e" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + " date temp rides weekday\n", + "0 27-09-24 32 1111 Friday\n", + "1 28-09-24 13 886 Saturday\n", + "2 29-09-24 13 740 Sunday\n", + "3 30-09-24 42 997 Monday\n", + "4 01-10-24 25 712 Tuesday\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 4 — Weekday averages" + ], + "metadata": { + "id": "byKd8SFK9w2y" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: compute and print mean rides per weekday\n", + "# Task 4\n", + "weekday_avg = df.groupby('weekday')[['rides']].mean().reset_index()\n", + "print(weekday_avg)" + ], + "metadata": { + "id": "4rLrxkPj90p3", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "178c8bde-f85f-44e4-83ac-c93be978c995" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + " weekday rides\n", + "0 Friday 939.094340\n", + "1 Monday 959.173077\n", + "2 Saturday 1003.509434\n", + "3 Sunday 946.730769\n", + "4 Thursday 933.634615\n", + "5 Tuesday 917.538462\n", + "6 Wednsday 1025.096154\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 3 · Matplotlib 📈\n", + "Quick-start notes\n", + "Workhorse: pyplot interface (import matplotlib.pyplot as plt)\n", + "\n", + "Figure & axes: fig, ax = plt.subplots()\n", + "\n", + "Common plots: plot, scatter, hist, imshow\n", + "\n", + "Display inline in Jupyter with %matplotlib inline or %matplotlib notebook" + ], + "metadata": { + "id": "gbGMbtLf94M4" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 5 — Scatter plot" + ], + "metadata": { + "id": "QOsToPh2-AnZ" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: scatter-plot temperature (x) vs rides (y) from df\n", + "import matplotlib.pyplot as plt\n", + "\n", + "\n", + "# Task 5: ایجاد نمودار پراکندگی\n", + "plt.scatter(df['temp'], df['rides'], alpha=0.5, c='blue')\n", + "\n", + "# اضافه کردن جزئیات برای درک بهتر (اختیاری اما حرفه‌ای)\n", + "plt.title('Relationship between Temperature and Rides')\n", + "plt.xlabel('Temperature (°C)')\n", + "plt.ylabel('Number of Rides')\n", + "plt.show()\n" + ], + "metadata": { + "id": "_pCU2mIH-DAi", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 472 + }, + "outputId": "46976049-8f75-4713-f2f6-008eff586e5c" + }, + "execution_count": 5, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 6 — Show the figure\n", + "\n" + ], + "metadata": { + "id": "TBGXIzVV-E5u" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: call plt.show() so the plot appears\n", + "\n", + "plt.show()" + ], + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file diff --git "a/a0.1/a0.2/AI\342\200\223DS_Nexus___A0_2_Python_Packages__RoohollaAlikhani.ipynb" "b/a0.1/a0.2/AI\342\200\223DS_Nexus___A0_2_Python_Packages__RoohollaAlikhani.ipynb" new file mode 100644 index 0000000..2f9de70 --- /dev/null +++ "b/a0.1/a0.2/AI\342\200\223DS_Nexus___A0_2_Python_Packages__RoohollaAlikhani.ipynb" @@ -0,0 +1,508 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "ZS5lje_18xC2" + }, + "source": [ + "# 📚 Assignment 2 — NumPy, pandas & Matplotlib Essentials\n", + "Welcome to your first data-science sprint! In this three-part mini-project you’ll touch the libraries every ML practitioner leans on daily:\n", + "\n", + "1. NumPy — fast n-dimensional arrays\n", + "\n", + "2. pandas — tabular data wrangling\n", + "\n", + "3. Matplotlib — quick, customizable plots\n", + "\n", + "Each part starts with “Quick-start notes”, then gives you two bite-sized tasks. Replace every # TODO with working Python in a notebook or script, run it, and check your results. Happy hacking! 😊\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u5vvtK-6840I" + }, + "source": [ + "## 1 · NumPy 🧮\n", + "Quick-start notes\n", + "Core object: ndarray (n-dimensional array)\n", + "\n", + "Create data: np.array, np.arange, np.random.*\n", + "\n", + "Summaries: mean, std, sum, max, …\n", + "\n", + "Vectorised math beats Python loops for speed\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UyNHtkGm9OgH" + }, + "source": [ + "### Task 1 — Mock temperatures\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "lmaiboJe8E15" + }, + "outputs": [ + { + "data": { + "image/png": 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ktfXr16f5azoqXgvnux7z5v74nM8QbdVRn79UAHhpMa5du6YWvXOGeyOt8Fro93qEhFj/5YsDIQKqxkjyhixrgPLnz4+mTZsic+bMaRq5yo3apEkTeHl5Qc94LZzzesj8XDJFRa5uk+Cdq4jV5z0J/Bf31k636jypAZpQNQYf/H0Zl3/6ANu2bVO5fnrlLPdGWuC1iE+P1+NRbAuOQwdA/v7+8PDwQFBQULz9sp1UgnNqPaePj49aEpIbRoubRqvXdUS8Fs51PaTJOTQ0FGFRBhiijVNWWCMsMtrm88KjDOoceU1HviZpxdHvjbTEa6Hf6+Flw/vUrBeYt7c3qlSpgo0bN5r3SVu+bNeqVcthnpOIiIhcj6ZNYNLs1KtXL1StWhXVq1dX4/o8efLE3IOrZ8+eyJs3r8rRMSU5nzhxwrwu7f6HDh1CxowZUaxYMauek4iIiEjTAKhz5864ffs2xowZg5s3b6JixYpYu3atOYlZutNK9bbJ9evXUalSJfP2V199pZb69etjy5YtVj0nERERkeZJ0AMHDlRLYkxBjYmM7mwwGJ7rOYmIiIg0nwqDiIiIKK0xACIiIiLdYQBEREREusMAiIiIiHSHARARERHpDgMgIiIi0h0GQERERKQ7DICIiIhIdxgAERERke4wACIiIiLd0XwqDCJyTDIX3507d2w6JzAwMNXKQ0RkTwyAiCjR4KdEyVIICw3RuihERKmCARARPUVqfiT48Ws1FF5++a0+L/T8fjz8d2Gqlo2IyB4YABFRkiT48QkoZvXxkXevpGp5iIjshUnQREREpDsMgIiIiEh3GAARERGR7jAAIiIiIt1hAERERES6wwCIiIiIdIcBEBEREekOAyAiIiLSHQZAREREpDsMgIiIiEh3GAARERGR7jAAIiIiIt1hAERERES6wwCIiIiIdIcBEBEREekOAyAiIiLSHQZAREREpDsMgIiIiEh3GAARERGR7jAAIiIiIt1hAERERES6wwCIiIiIdIcBEBEREekOAyAiIiLSHQZAREREpDsMgIiIiEh3GAARERGR7jAAIiIiIt1hAERERES646l1AYiIkmUwIHvoI+R/cBP5Hwah0OMgFLtqQL2g9HisddmIyGkxACIih1TszmX02/c7WpzcjswRIU89viD2/4gWLYBatYCOHYHOnQEPjzQvKxE5HwZAROQ4DAbUvHwE/feuRKNz+6w6xTsoCPj9d+Py2WfAhAlA27aAm1uqF5eInBcDICJyCCUB/LLma1S+czne/kc+GXAo9wu4kjUXrmQJwM1sOdGjYDgObTiEYse3om6GDPB48sR48PHjQPv2QNWqwKefAk2bavNmiMjhMQAiIs21u3YSXwPIaBH8XM2cEz9Wa4NfyzXBE5/05v0+Hga8WD0anwQXwcXjW3FgyxZUfvgQGD0a2LXLeND+/UCzZsCbbwLffAN4eWnxtojIgTEAIiLNeEVH4sPNc9Hnv7/M+8745ce0Ol3xd4k6iHa3Ip/H3R1o1Aho2BD46y9g1Cjg8GHjY7NnA2fOAMuWAdmypeI7ISJnw27wRKSJgEd3sHTRCPQ5sMq879ei1fByr6+xulQ964IfS5Lz06oVcPAg8MMPgLe3cf/GjUDNmsDp03Z+B0TkzBgAEVGay/PoFn5bOAyVr59S22HuHugPYHCdbgjzSvd8Ty41Qv36AZs2ATlyGPdJ8FOjhjEYIiJiAEREac3vyQP8vHQ08j6+rbavZMmFlrW7Yo5s2LPnVp06wN69QNmyxu0HDwDpMr9tm/1eg4icFgMgIkozmcKfYMGysSh675raPp8tD9r1+AqHs+ZKnRcsVAjYudPYNCYiIoA2bYDAwNR5PSJyGgyAiChN+ESGY85vE1A26JzavpHRDz06f4I7GVI5OTlTJmDFCqB587iaoJdeAm7cSN3XJSKHxgCIiFKdZ3QUZv4xCTWuHFPb93wzo3vnT3AtS860KYB0g//1V6BSJeP2pUvGWqHg4LR5fSJyOAyAiCjVjdgyD41jR3YO9vZFr47jcc4/f9oWQmqCpJt8gQLGbekt1qkTEBWVtuUgIofAcYCIKFW9eG4f+u3/Q62He3iif/vROJq7uDaFyZ0b+PtvxNSqBfdHj9R6UK9euDZ0qFWn+/v7o4ApgCIip6Z5DdDMmTNRqFAhpEuXDjVq1MBe6bWRjGXLlqFkyZLq+HLlymHNmjXxHg8ODsbAgQORL18++Pr6onTp0pgtg6ERUZrL+fguvvpLxng2mtigL3YVLK9pmS5nzIhmYeEIj93OtWgRRlSpgipWLCVKlsLly/Gn6iAi56RpDdDSpUsxZMgQFaBI8DN16lQ0a9YMp06dQs6cT+cG7Ny5E127dsXEiRPRqlUrLFq0CG3btsXBgwdRNrarqzzfpk2bsHDhQhVY/fPPP3j77beRJ08etG7dWoN3SaRP7jHRmLp6MvxCH6nt9cWqY36Vl7UuFu7cuYMNEeEYV+ZFTDy+We37yTczGrb+APfTZUjyvMi7V3B39WR1PmuBiJyfpjVAU6ZMQf/+/dGnTx9zTU369Okxd+7cRI+fNm0amjdvjmHDhqFUqVKYMGECKleujBkzZsQLknr16oUGDRqoAOj1119HhQoVnlmzRET29dbu5ah9+Yi5x9ewFu861AztC6q8jG2FjEnRAaGPMPm/v+CTqyh8Aoolunj5pXHOEhG5Zg1QREQEDhw4gJEjR5r3ubu7o3HjxthlmtAwAdkvNTyWpMbo999/N2/Xrl0bf/75J/r27atqfbZs2YLTp0/j66/jquETCg8PV4vJI8kNkG98kZFqSSum10rL13RUvBbaXo+YmBjVhJzO0w3eHgarz4vy8lDn1bl7Ae9t/0Xti3Zzx7A2QxGaMRN8YEj2PGtez8fd+LiPp5s6R8pqy3UxvTcfLw989PJg/DlnELKFPsZLp3eiy4kNWFm+caLnuaXw9VIbf1fi8FrEp8frEWnDe3UzGAzW/3Wzo+vXryNv3ryqxqZWrVrm/cOHD8fWrVuxZ8+ep87x9vbGggULVDOYybfffovx48cjKChIbUsgI7U+P/30Ezw9PVVQ9cMPP6Bnz55JlmXcuHHqORKSJjapkSIi63mEhqLhO+8g/W3jSM8nu3TBqS5d4Khy79qF6p9/rtaj0qXD5qlTERIQoHWxiCgFQkJC0K1bNzx8+BCZM2fWVy+w6dOnY/fu3aoWqGDBgti2bRsGDBigaoOkdikxUgtlWbMkNUD58+dH06ZNn3kB7R25rl+/Hk2aNIGXjFuiY7wW2l6Pw4cPo169esjVbRK8cxWx+rwngf9i6KopaBXbtXxv/jLoVagLYvZ6PPO8e2unW/V6UgM0oWoMPvj7Mi7/9IH6HZdm7hS/N4+6+Kz8AXQ4sgGeYWHw+2Qa3uk+ETEJJmONCDqPoEUjbH691MbflTi8FvHp8Xo8im3BsYZmAZB0J/Xw8DDX3JjIdkAS375kf3LHh4aG4sMPP8TKlSvRsmVLta98+fI4dOgQvvrqqyQDIB8fH7UkJDeMFjeNVq/riHgttLkeUnMqv09hUQYYoq3P2yl89yYGxQY/4R5eGPbSYIQaPIHo5M8Li4y2+fXCowzqHCmrLdcksfc2puHrqHr5GAo+uInKVwPR4eA/WFiphV1eL63wdyUOr4V+r4eXLX8LoBFpzpJupRstZmeWtnXZtmwSsyT7LY8XEt2ajjfl7MgfKEsSaMlzE1HqcTPE4MujG8zfqmbW6oRL2fLAGTzxSY/3JUk71vvbfkK2kIealomIXLgXmDQ7SX6O5PUEBgbirbfewpMnT1SvMCF5O5ZJ0oMHD8batWsxefJknDx5UuXu7N+/X437I6S5qn79+qqXmCQ/X7hwAfPnz1f5QO3atdPsfRLpwStHN6Lm/etq/VzmHPiuRgc4k335y2JFmRfVetawYLz/789aF4mIUpGmOUCdO3fG7du3MWbMGNy8eRMVK1ZUAU6uXMaZoWXAMcvaHOnhJYnJo0aNUk1dxYsXVz3ATGMAiSVLlqig6dVXX8W9e/dUHtCnn36KN998U5P3SKQHWUMfYeSWeebtD2u8gnBPbzibiQ36oOmZ3cgYEYquh9ZhcYXmOBZQTOtiEVEq0DwJWmpvTDU4CUktTkIdO3ZUS1IkH2jevLg/xESU+j7YMh/ZYwc8XAJgW54SeDqrzvHdzpgdU+t0xajNc+EOA8avn41Xun8Bg5vmg+YTkZ3xt5qInkvla4HoeuQftf7Y0xvxR+pyPjJA4tns+dR6lesn0f6YcbRoInItDICIKOUMBozeOMe8+VmJOrgB5xbp4YVxjd+IN5N9pvAnmpaJiOyPARARpZjky1S6cUqtn/IvgLkFK8IVbC9cCWteqK3Wc4Q8wDs7FmtdJCKyMwZARJTiyU6HbfvJvP1lvV6ITjAEhTP7tGE/hHoaM5l6HlyNvMH3tS4SEdmR6/y1IqI01f74ZhS/e0WtH8hTEhuKVYcruZYlJ+ZVNc5e7xMdhXdj85yIyDUwACIim/lEReDd2MlOxecNejvUTO/28l31DnjkbZwPsMvZPSiqdYGIyG4YABGRzV7972/ke2Sc7HRTkarYmz9uLC5X8tA3E+ZUNw6i6mmIwTitC0REdsMAiIhskjE8BAN2LTVvf1m/J1zZ3KptcM/XOClyNwDpzp7VukhEZAcMgIjIJv32rYRf7KCHv5euj8Cc1s8W74yCfdJjVo1XzH8w88yerXWRiMgOGAARkdVkgtB++35X65HuHphStzv04KfKLXEzthYo6+bNwIEDWheJiJ4TAyAislqf/X+qebLEkgrNcDlbbuhBuJcPppZvGrdj1Cgti0NEdsAAiIiszv3pfXC1ufbn25pJz8nnihYVr4mLpo21a4EdO7QtEBE9FwZARGSV7v+tQebYKSFWlGmIG5lzQE8iPTwx3nLHpEnaFYaInhsDICJ6Jp/IcLwWm/sTAzfMrmlMCtabhQAicuUybqxeDRw7pnWRiCiFGAAR0TN1OrpezYkl1pSsiwvZ80KPogAEdbdI/P7iCy2LQ0TPgQEQESXLMzoKb+z5zbytt9yfhO62awdkz27cWLQIuHRJ6yIRUQowACKiZLU5sTXeqM8ncrn2uD/PEuPrC7zzjnEjOhqYMkXrIhFRCjAAIqIkucfE4O3dy8zbM2t10rQ8DmPgQCC9cY4w/PADcOeO1iUiIhsxACKiJL105SiK3ruq1vfkL4sD+UprXSTH4OcH9O9vXA8NBWbM0LpERJTaAdDYsWNxiW3eRLrw9rGN5vUZrP2Jb8gQwNPTuD59OhAcrHWJiCg1A6A//vgDRYsWRaNGjbBo0SKEh4fb+hRE5ARqAqh857JaP5GzMP4tVEnrIjmWAgWAbjI9KoB794A5c7QuERGlZgB06NAh7Nu3D2XKlMHgwYMREBCAt956S+0jItfxrsX6j1XbAm5uGpbGQQ0fHrcuydBR0lGeiFw2B6hSpUr45ptvcP36dfz444+4evUq6tSpg/Lly2PatGl4+PCh/UtKRGnG68YNdIhdv50+K1aVqqdxiRxUmTJAq1bG9StXpIpc6xIRUVokQRsMBkRGRiIiIkKtZ8uWDTNmzED+/PmxdOnS53lqItJQjmXLEJvdgoWVWiDC00vjEjmwwYPj1r/5RsuSEFFqB0AHDhzAwIEDkTt3brz33nuqRigwMBBbt27FmTNn8Omnn+Id0zgZRORcnjyB/4oVajXc3QO/VHpJ6xI5tkaNgFKljOvbtkmegNYlIqLUCIDKlSuHmjVr4sKFC6r568qVK5g0aRKKFStmPqZr1664fds4cBoROZmffoLn48dqdWXhKriTIZvWJXJskhtl+YWPtUBErhkAderUCRcvXsRff/2Ftm3bwsPD46lj/P39ERMTY68yElFakd/badPMm3NKM/fHKj16AFmzxk2PwS+ARK4XAJlyfRIKDQ3Fxx9/bK9yEZEW1q0DTp1Sq5sBHM+eT+sSOYcMGYB+/YzrMjSIjA5NRK4VAI0fPx7BiQz4FRISoh4jIic2dWrcqqYFcUIDBgDusX9Sv/0WiIzUukREZO8aILdExgM5fPgwsptmSCYi53PiBPDPP2o1PG9erNa6PM6mUCGgdWvj+rVrQGwiORE5eQAkzV4S4Ejw88ILL6h105IlSxY0adJE5QcRkZOaPdu8eqtLFzCLLwWYDE3kNExDfTzT1KlTVe1P3759VVOXBD0m3t7eKFSoEGrVqpVa5SSi1PTkCbBggXHd1xf3Xn4ZmDxZ61I5nwYNgLJlgWPHgJ07gf37gapVtS4VET1PANSrVy/1f+HChVG7dm14eXFgNCKXsXgx8OiRcb1rV0RnyqR1iZyTpAfIwIimmeJnzQJ+/FHrUhFRSpvAHpn+MMZOgyE9vmRfYgsRORmDwfhBbfLmm1qWxvl17QqYasglsHzwQOsSEVFKAyDJ/7l165Zaz5o1q9pOuJj2E5GTkWaagweN61WqANWqaV0i5+8SL+MCidBQYOFCrUtERCltAtu0aZO5h9fmzTI6CBG5DMvan7fe0rIkruONN4AZM+KSy6WLfCK9Z4nIwQOg+vXrJ7pORE7u/n1gyRLjujTbdOmidYlcgyRC16kD7NgBHD9uTIiWbSJy3nGA1q5di+3bt5u3Z86ciYoVK6Jbt264L39Mich5/PSTsZlG9OxpbL4h+9UCJTLEABE5aQA0bNgwc7Lz0aNHMWTIELRo0UJNjirrROREyc+WH8xMfravV14BTIPDLlsG3L2rdYmI6HkCIAl0SpcurdZ/++03vPzyy/jss89UTdDff/9t69MRkVa2bAFOnjSuS9N27O812Ymvr4wfEjc/mGmcJSJyzgBIBj2Ueb/Ehg0b0LRpU7UuSdLsBk/kRFj7k7bNYN99Z6x1IyLnDIDq1q2rmromTJiAvXv3omXLlmr/6dOnkS8fZ44mcgq3bwMrVxrXc+QA2rfXukSuqUQJ4+jQ4vRpY60bETlnADRjxgx4enpi+fLlmDVrFvLmzav2S/NX8+bNU6OMRGRvP/8cN1t5795Stat1iVyXZe2a1AIRkXNNhWFSoEABrF799DzRX3/9tb3KRESpSZphLKdneO01LUvj+tq1M9aySa2bzBAv/8v2M1y+fBl37tx55nExMcZpaw8fPgx3d3f4+/urv9NEZOcAyPQLd/bsWTU6tOmXz6RevXopeUoiSiu7dwMnThjX69Y1NtNQ6pHaNall+/JLY62bjAz93nvPDH5KlCyFsFBjvmVyfH19sXjxYvW3V6YpSuebHqdOBjIIIrJ3ALR792415s+lS5fU7PCW3NzcEB0dbetTElFasqz96ddPy5LoR9++xgDIdP3ffTfZkaGl5keCH79WQ+Hllz/Zp07naXyeXN0m4XHQZdxdPVmdzwCIyM4B0JtvvomqVavir7/+Qu7cuVXQQ0RO4vHjuJGfZcZ3GauGUl/JkkDt2sYRoWVk6H37gOrVn3maBD8+AcWSPcbbQ76IRsM7VxF4RbGXGVGqBUBnzpxRCdDFiiX/S0lEDmjpUuDJE+N6t24c+TktSa6VBECmWiArAiAicqBeYDVq1FD5P0TkhNj8pZ1OnYCMGY3rixcDseOpEZGT1AANGjQIQ4cOxc2bN1GuXDl4eXnFe7x8+fL2LB8R2Ys0vUgCtJDf0ypVtC6Rvkjw07mzMQiVpsjly43zrxGRcwRAHTp0UP/3laS+WJIHJAnRTIImcqLaH+bvpT35u2n6Ocj/DICInCcAkrnAiMjJyFxUMvO78PEBXn1V6xLpU61axoRomYNt2zZJqgSKF9e6VES6ZHMAVLBgwdQpCRGlnj//jJuNXKa9MM1STmlLat0kGXrYMOP2vHnAZ59pXSoiXUrRQIg///wzZs+erWqDdu3apYKiqVOnonDhwmjTpo39S0lEzyV01iz4xq6fqVcPjw8eTPb4wMDANCmXLvXoAYwcCURFAfPnAx9/DHim6E8xET0Hm3/rZP6vMWPG4N1338Wnn35qzvnJmjWrCoIYABE5lqv79iH35s1q/ZLMz/nWW+BoMRrKlQto1Qr4/Xfgxg1g7VrjNhE5dgA0ffp0/PDDD2jbti0mTZpk3i+DI77//vv2Lh8RPa9ffoFH7Opv5ZsiV6UWzzwl9Px+PPx3YaoXTbekGUwCICG1QAyAiJwjCbpSpUpP7ffx8cET0wBrROQYDAb4rVpl3vy9Zkf4ZMv9zNMi715J5YLpXPPmQEAAcPNmXH6Wn5/WpSLSFZsHQpQ8n0OHDj21f+3atShVqpTNBZg5cyYKFSqEdOnSqUEW9+7dm+zxy5YtQ8mSJdXxMg7RmjVrEs1faN26NbJkyYIMGTKgWrVqanJBIt3Zvx++58+r1d05i+CyFcEPpQHJ+ene3bguE6SapichIscNgIYMGYIBAwZg6dKlauwfCVgkF2jkyJEYPny4Tc8lzyHPN3bsWBw8eBAVKlRAs2bN1Czzidm5cye6du2K1157Df/9959qhpPl2LFj5mPOnTuHunXrqiBpy5YtOHLkCEaPHq0CJiLdkeaVWEuLceoFh9KrV6I/JyJy0Cawfv36wdfXF6NGjUJISIiaGT5PnjyYNm0aunTpYtNzTZkyBf3790efPn3UtvQsk0lW586dixEjRjx1vLxG8+bNMSy2C+mECROwfv16zJgxQ50rPvroI7Ro0QJffPGF+byiRYva+jaJnF9YmHHKBQDSOL2qUEWtS0SWypYFKlcGpEfe/v3GkbrLlNG6VES6YXMNkHj11VfVpKjBwcFqSoyrV6+qWhlbRERE4MCBA2jcuHFcYdzd1bZ0rU+M7Lc8XkiNken4mJgYFUC98MILan/OnDlVs9rvpmRDIj2R3J/799XqbxIEebEW1OH07h23vmCBliUh0p3nGnwiffr0akmJO3fuqC70uaRLqAXZPimjpCZCgq3Ejpf9QprOJCiT3mmffPIJPv/8c5Wb1L59e2zevBn169dP9HnDw8PVYvLo0SP1f2RkpFrSium10vI1HRWvxfNfD49588zfcJZ4eyOdpxu8PazrAB/l5aFqem05J63O83E3Pu7j6abOkS8+tlwXOT4lZXRL4esl65VX4Dl0KNwiI2H4+WdEjR+v8oNsKaP5ergb1PF2L6MT4d+N+PR4PSJteK9uBknkeQbp9SXzfFlDcnmscf36deTNm1fl9dSS4eFjSR7R1q1bsWfPnqfO8fb2xoIFC1QekMm3336L8ePHIygoyPyc8viiRYvMx0hCtCRDL45tDkho3Lhx6jkSkudIaYBHpCWfe/fQrF8/uMXEIMTfH+u//16qWLUuFiWi+sSJyB37927X6NG4xUlqiVLMlJrz8OFDZM6c+flrgCTR2CQsLEwFHaVLlzYHLrt378bx48fx9ttvW11If39/eHh4qMDFkmwHSPfQRMj+5I6X5/T09FRlsyS907Zv355kWSSBW5KxLWuA8ufPj6ZNmz7zAto7cpWcpiZNmsDLywt6xmvxfNfDffJkFfyIB61bo+urryJXt0nwzlXEqtd7Evgv7q2dbtM5aXWe1HRMqBqDYcuP4uqKiaqrf0rYWsaIoPMIWjQC27ZtUx027MVNRoR+5RW1XiMwENGjR+Pw4cOoV6+eTddj9H53PL5xIVXK6Cz4dyM+PV4PUwuONawKgKSXlmUS9DvvvKMSkBMec+WK9WOHSG1OlSpVsHHjRnOAJdW2sj1w4MBEz5GASx6XUahN5IdrCsTkOaXL+6lTp+Kdd/r06WTnMJMxjGRJSG4YLW4arV7XEfFapOB6SEDw88/mzfutWyN07lyERRlgiLauJjcsMhqhoaE2nZPW54U8eYzQkBD4tRoKL7/8Vr+WaZBHW8sYHmVQZZRcRbveky+/LN/eJC8A7qtWwT04WL2GrdcjPMZNHZ8qZXQy/Luh3+vhZcP7tDkHSMbh2S89FhLo3r27Gg1aenBZS2pdevXqpc6rXr26mkpDBlM09Qrr2bOnatKaOHGi2h48eLDK45k8eTJatmyJJUuWqLJ8L9X7saSHWOfOndW3pxdffFHlAK1atUp1iSfShQMHgBMnjOt16iA8v/XBgTOS4McnoJjVxzvcII/e3tKzRLq5SkKijA8CVOeQBUSpzeakAEmw27Fjx1P7ZZ+tY+1IoPLVV1+pucUqVqyoBliUgMWU6CyDF96QuXJi1a5dW+XlSMAj1bvLly9XPbzKSnfSWO3atVNd4qUbvAyUOGfOHPz2229qbCAiXbCo/Yk31gw5LsufE3uDEaUJm2uApPnprbfeUsnOUmsjJGFZan5kwEFbSXNXUk1eidXadOzYUS3J6du3r1qIdEd6QJg6AEizrvyuxI4ETQ6sYkWgXDng6FFJqoTPxYtal4jI5dkcAMkAhUWKFFGDEi5cuNCcZDxv3jx06tQpNcpIRNaSmcXv3DGut2kDZM2qdYnIGtLLVmqBYieUzp7IFD9E5ADjAEmgw2CHyAH99FPces+eWpaEbNWtm4wDIr1BVABkfXo2EaUEBwYhchUy6rPMLC5y5gSaNtW6RGSL3LmBJk3Uqs+NG/if1uUhcnEMgIhcxa+/yhwzcbUJOun26lIsau16aFoQItfHAIjIVbD5y/nJmGgZM6pV6eqRLio2oCUiu2MAROQKzp0Ddu40rsuwENKriJyPTL0TOyp0FgBNrxzTukRELsvmAEgmFSUiBx77R2p/rJy7jxyQRe1dx3NPDzpLRBoFQM2bN0fRokXVbOu2TH1BRKlEpr4wNX/JhKcyqjA5r/r1ERE7GGyD6yfh/+S+1iUickk2B0DXrl1TAxfKKMwyHlCzZs3w66+/IsKUfElEaUtGZr9wwbjeuDGQJ4/WJaLn4e6Oey1aqFVPQwxan9imdYmIXJLNAZDMuP7ee++paStkBOgXXnhBzQKfJ08eNUmqzGJMRBolP/dg3yFXcK9lS/N6u+ObNC0Lkat6riToypUrY+TIkapGKDg4WE2HITO8/+9//8Px48ftV0oiSlxYmLH7u8iQQSbD07pEZAdhhQtjX+x6uaBzKH77ksYlInI9KQqAIiMjVRNYixYtULBgQaxbtw4zZsxAUFAQzp49q/Y9a74uIrKDv/4CHj40rrdvbwyCyCVY1OuhA2uBiLSfCmPQoEFYvHgxDAYDevTooWZdt5yNPUOGDGqGd2kSI6I07P3F5q80ERgYaNPx4eHh8JGJaW18jSUApri5w0vlAW3F5/V7weDGkUuINAuATpw4genTp6N9+/ZJ/lJLnhC7yxOlsrt3AdOkmTKNQsOGWpfIpUUH31fDC3Tv3t22EyVoMcSk6DU35y2FplePI8/jO6h5+Sh2FayQouchIjsEQGPHjkXt2rXh6Rn/1KioKOzcuRP16tVTj9WvX9/WpyYiW0juT2Rk3NQXHh5al8ilxYQHqyEH/FoNhZdffqvOCT2/Hw//XWjTOZbnLS9aVQVAot3xzQyAiLQMgF588UXcuHEDOWWyRQsPHz5Uj0VHR9uzfESUFDZ/aUICGZ+AYlYdG3n3is3nWJ63Pl8ZPPJOj8wRIXjp1A6MafImwrzSpbDkRGTJ5gZlyf1xS2SU2bt376r8HyJKA2fPArt2GdfLlQMqsGbAFYV5euPvEnXUeqaIUDQ5s0frIhHprwZIcn6EBD+9e/eOl/8jtT5HjhxRTWNElAYWLoxbZ+2PS1tZ9kV0Prperbc9sQWrSjO9gChNA6AsWbKYa4AyZcoEX19f82Pe3t6oWbMm+vfvb5dCEdEzpr4wBUBSG9u1q9YlolS0J39ZXMuUA3kf30b98wfg9+QB7mbIqnWxiPQTAM2bN0/9X6hQIbz//vts7iLSyu7dxtnfhfT8ypdP6xJRKpKu73+UqY+3dy9XU2O8HLgN86u21rpYRPrLAZJeYAx+iDTE5GfdWVEmboiDtic4xAhRmtUAyZQXGzduRLZs2VCpUqVEk6BNDh48aJeCEVEiZNLhpUuN69IMHZubR67trH8BHMtVFGWDzqHijTMocvcqzvux5o8o1QOgNm3amJOe27Zt+1wvSEQpd++XX5Dr3j3jer16uHjmjN1HLibHtLLMiyoAMo0JNLkea/+IUj0AkmavxNaJKG3tGTgIpuyPV9etw9p16zQuEaWVP0vVx4eb58LDEKN6g03536ucGoMoLQdCJCJteAUHo1FkhFq/nS4jjnYcjwB3D6tHFSbndjtjNvxbqBIaXDiA/A+DUPXqCezLHzcPIxGlQgAkuT/J5f1YuhdbPU9E9pVnxw6YRt9aVaYhPPOUsOoX2DSqMDm/lWUaqADI1AzGAIgolQOgqVOnPsdLEJE95Nu61by+oiwnPtWjf4rXwhOvdMgQGYZWJ7djfOM3AA8vrYtF5LoBUK9evVK/JESUtIsX4X/ihFo9nSWX6hFE+hPqnQ5rS9RGh2ObkDn8CV48tw+bS3MEfqKUsCqD7tGjR/HWk1uIyP7cFy0yr8sM4WoEaILexwRqf5xjAhGleg6QaQb4rFmzJpoPZJoklbPBE9mZwQD3X34xb64sXEXT4pC2dhUoh5sZsyMg+B4anNuPrCHyxZOD0xKlSgC0adMmZM+eXa1v3sxvHERpav9+uMWO97PN3R1XM2Y3J0OT/sS4e+CP0g3wxt4V8I6JQovAf4EGzbUuFpFrBkD169dPdJ2I0nbqi8Uez+72TvoYFFECINH62GZcBgMgojQZB+j+/fv48ccfzSPMli5dGn369DHXEhGRnURGAkuWqNVob2+sdHcHs3/oZM7CCMxRCKVuX0Sla6dw9/p1APm1LhaRU7F5GNFt27apGeG/+eYbFQjJIuuFCxdWjxGRHf3zD3D7tlq9Wa0aHjH5mRJJhrYcIoGIUikAGjBgADp37owLFy5gxYoVajl//jy6dOmiHiOi1Gn+usLmZ7LwR+n6iImtD8y/ZYtKlieiVAyAzp49i6FDh8LDIhdB1ocMGaIeIyI7efgQ+P13tWrw98etypW1LhE5kFuZ/LCjYAW1niEoCJWundS6SESuHQBVrlw50dmlZV+FCsZfRiKyg+XLgfBwtRrTuTMMnpy6j+JbWfZF83qbo+yhS2QLq/6iHjlyxLz+zjvvYPDgwaq2p2bNmmrf7t27MXPmTEyaNMmmFyeiZPz0k3nV0L07EBSkaXHI8ax9oTY++edbpI8Mx0uB/2JEmUZaF4nItQKgihUrqkEOZbBDk+HDhz91XLdu3VR+EBE9p4sXpceBcb1kSRik+evvv7UuFTmYEG9frC9RC22ObUHWsGA0vnocc7UuFJErBUCS8ExEaWjhwrj1nj059QUl6fdyDVUAJDqe28cAiMieAVDBggWtfT4iel5S02rR+wuvvqplacjB7S5YHqHZs8P33j00unoCfloXiMhJpDir8sSJE7h8+TIiIiLi7W/durU9ykWkX3v3AqdPG9dffBEoUMA4ICJRElNjXK1fH8VXroSXIQZdtC4QkasGQDLmT7t27XD06NF4eUGmCVI5GSqR/ZKf0aOHliUhJ3GlQQMVAAneMUSp1A1eeoDJqM+3bt1C+vTpcfz4cTUCdNWqVbFFBuMiopSTGtXYqS/g6wt06KB1icgJPC5YEMdzFVHrNQD4MG+TyP4B0K5du/Dxxx/D398f7u7uaqlbty4mTpyousgT0XNYswa4d8+43rYtkDmz1iUiJ/FHubipMfzkPiIi+wZA0sSVKVMmtS5B0HU1CZ8xUfrUqVO2Ph0RWbJMfpbeX0RWWl26HqLcjH/Ss//1FxATo3WRiFwrACpbtiwOHz6s1mvUqIEvvvgCO3bsULVCRYoYq2CJKAWk5mf1auN6rlxA48Zal4icyN2M2bA5b0m17i2DZnKCVCL7BkCjRo1CTOw3Cwl6ZIyg//3vf1izZo2aFZ6IUkhyf0y9Krt1Azj1BdloWdFqiSfTE9FTbP4L26xZM/N6sWLFcPLkSdy7dw/ZsmUz9wQjohRYsCBuvXdvLUtCTmp9vjJ4ACCraS65mTOB9Om1LhaRa9QAWbpy5YpasmfPzuCH6HnIBMMy/o+oWBEoX17rEpETCvP0xq+mjeBgYMUKbQtE5Eo1QFFRURg/frxq7gqWXzAAGTNmxKBBgzB27Fh4eXmlRjmJ9FP706uXliUhJycNX6/Hrj+aMQNnS5d+5jnSoaWADLhJpCM2B0AS6KxYsUIlP9eqVcvcNX7cuHG4e/cuZs2alRrlJHJdMnioqfeX5P1I/g9RCkQH38cOAGclRUG+nO7ZgzZVquDqM85L55sep04GMggiXbE5AFq0aBGWLFmCl156ybyvfPnyyJ8/P7p27coAiMhWGzcCscNJoEULIGdOrUtETiom3Fgr/2uJOvjw1A6V4/B2pZb4pnyTJM+JvHsFd1dPxp07dxgAka7YHAD5+PigUKFCT+2X0aG9vb3tVS4i/Zg/P26dzV9kByvKNsaIUzvhDgM6X/wP3zV5U+Yr0rpYRM6dBD1w4EBMmDAB4eHh5n2y/umnn6rHiMgGDx8CsXM4wc8PaNVK6xKRC7iWMRt2FSyn1ovcv47K105qXSQi56wBat++fbztDRs2IF++fKhQoYLaloERZVb4Ro0apU4piVzVsmVAWJhxvWtXgLWoZCfLyzZGnUtH1PorxzbgYL5SWheJyPkCoCxZssTb7pBggkbJ/yGiFGDzF6WStS/UxoT1s5AxIhStAv/F+EavI9zLR+tiETlXADRv3rzULwmR3pw9C+yQPjsAypQBqlTRukTkQkK90+GvEnXR+eh6ZI4IQbMzu/Fn6fpaF4vI+QdCvH37NrZv364WWX8eM2fOVInV6dKlU/OL7TUNCJeEZcuWoWTJkur4cuXKqWk4kvLmm2+qQRqnTp36XGUksjvLqQqk9odJqmRny8vFpSW8cnSDpmUhcvoA6MmTJ+jbty9y586NevXqqSVPnjx47bXXEBISYnMBli5diiFDhqhBFA8ePKjyimS6jVu3biV6/M6dO1V3e3m9//77D23btlXLsWPHnjp25cqV2L17tyofkcON/WNq/nJ3B159VesSkQval68MLmUNUOt1Lx5CwKM7WheJyHkDIAlWtm7dilWrVuHBgwdq+eOPP9S+oUOH2lyAKVOmoH///ujTpw9Kly6N2bNnI3369Jg7d26ix0+bNg3NmzfHsGHDUKpUKdUjrXLlypgxY0a8465du6YGbfzll184OjU5nk2bZC4Z47qMqcUgnVKDmxt+K2usBZIu8e2Pb9K6RETOOw7Qb7/9huXLl6NBgwbmfS1atICvry86depk00CI0nPswIEDGDlypHmfu7s7GjdurEaXTozslyDMktQY/f777+Ztma2+R48eKkgqI7kVzyDd+C279T969Ej9HxkZqZa0YnqttHxNR+Xq18Jjzhzzt4+onj1heMb7NF0H+T1L5+kGbw+D1a8V5eVh83kpOSetzvNxNz6ezoHLqMX1kP8Tuyary7+IIdt/Uesdj23Ej3Veidfc6ubpps6Rv5vO/vvm6n83bKXH6xFpw3t1MxgM1v9WQiYWTq+CFql9sXT8+HFUr15dNZFZ6/r168ibN69q1jJNqyGGDx+uapT27Nnz1Dky2OKCBQtUM5jJt99+q+YnCwoKUtsTJ07E5s2bsW7dOpX/I/lF7777rloSI9N4yPmJjXot75fInrweP0azvn3hERmJ8MyZse7HH2FgLSWlotqjRyPH0aNq/d/PPsM9K+YHI3JGkorTrVs3PHz4EJkzZ7ZvDZAEKpKv89NPP6kkZBEaGqoCCMsgRisSnEkzmeQTWTtDvdRAWdYqSQ2QdO1v2rTpMy+gvSPX9evXo0mTJrpvtnPla+E+a5YKfoRnnz54qU0bq6+H5N9lbjcW3rmKWP16TwL/xb2105Gr2ySrz0vJOWl1ntR0TKgag6GL9uD6qqkOWUYtrsfo/e64d3x7oue9XLgpvooNgG4t2YQPWxkHSRQRQecRtGgEtm3bZh7bzVm58t+NlNDj9XgU24JjDZsDIOlNJTk4CQdClGBIalxsITMQe3h4mGtuTGQ7IMCYuJeQ7E/u+H///VclUFvOaRMdHa3yk6TsFy9eTHR6D1kSkhtGi5tGq9d1RC55LSxmfvfo1w8eNrw/+bLhHWWAIdr6HmNhkdHqvDAbzkvJOWl9HssYX3iMW5LnrSpWG2N8ZiNz+BM0D9yOMQ1fxxMfY+12eJRBnSPpB67yu+aSfzeeg56uh5cN79PmJGjpdn7mzBnVzFSxYkW1TJo0Se2zJt8mYXNWlSpVsFEmg4wl7dCynVRtkuy3PF5IhGs6XnJ/jhw5gkOHDpkX6QUm+UC2BmhEdnfoEHDwoHG9WjWgbFmtS0Q6IAMg/hE7BlCGyDC0Ovmv1kUi0pynrdVpMv7O6tWrVc8te5Cmp169eqFq1aoqh0hqaSSPSHqFiZ49e6o8IQm4xODBg1G/fn1MnjwZLVu2VDPT79+/H99//7163M/PTy0JI0KpISpRooRdykyUYpaDisbe40Rp4ddyTdDjP+OYaZ2P/IOlFZppXSQiTdkUAEkgEWaat8hOOnfurAZSHDNmDG7evKlqlNauXYtcuXKpxy9fvqyqZk1q166tkpNHjRqFDz/8EMWLF1c9wMrymzQ5OulpuHChcV3y5ywS+YlS29GAYgjMUQilbl9E5eunUOzOZZz1j0sVINIbm3OABgwYgM8//xxz5syBp6fNpydKZpFPaib5LVu2PLWvY8eOarFWYnk/RGnuzz+Be/eM6zLBcNasWpeI9MTNDUvLN8W4jcba8k5H1uOzhq9pXSoizdgcwezbt0/l4Pzzzz8qHyhDhgzxHl+xYoU9y0fkOiwH9+zbV8uSkE79XqYBRm6ZC5/oKDUo4pf1eyJuBDQifbE5AMqaNetTs8ET0TNcvQqYkvALFgRefFHrEpEOPfDNjPXFa6kkaP+Qh2h4bh/+zJxT62IROUcAxJnhiVJY+2Mac7R3b+P8X0Qa+LVcY3MvMGkG+7Mu56EjfbL6r7B0T5fcnzp16qBatWoYMWKEGjuCiKyY+PTHH43rEviw+Ys0tL1QRVzLlEOtNzh/AAFPHmhdJCLHDoA+/fRT1esqY8aMqlu6jLYsCdFE9Az//CPdGY3rzZsDFoN0EqW1GHcPLC/XWK17GGLQ+dxerYtE5NgBkEx9IXNuyWCC0u1cZoOXmdalZoiIkhE7RpXy+utaloRIWVa+MWJgHCm625ndsWtE+mJ1ACTj8cis7yYyY7vMtSUTmhJREm7cAFatMq7nzg20bKl1iYhwNUsubCtcWa0XCL6HJloXiMiRA6CoqCjz5KeWAyPaMvU8ke5IpwHJARKS+2OnsbOIntfiinEjQb+haUmItGH1X2ODwYDevXvHmzRURoV+8803440FxHGASG+kdvTOnTtPPxATgzLffgvTb8yxGjUQETsPmEwEbDlhL1Fa21i0OoIyZkeu4HtoDeDE7dtaF4nIMQMgma8roe7du9u7PEROF/yUKFkKYaEhTz0maabrY9dlBKDmreVjxiidb3qcOhnIIIg0E+XhqeYHG7Rrqfog8JeRyptxfjDSD6sDII7/Q/Q0qfmR4Mev1VB4+eWP99igLfOBS4fU+rIGfRBQsIJaj7x7BXdXT1bnMgAiLS2t0BQDdv0Kdxjgt3IlMH06x6gi3WBCApEdSPDjE1DMvO3/5D5eunJUrd9OnxVbq7aGj4eXhiUkSjwZekveEmh47SR8JGF//XrWApFuMNQnSgUdjm2EV4wx+VnGXIlk8EMOamHx2nEb332nZVGI0hQDICI7czPEoMvh2Hm/ACyp0FTT8hAlZ33+MjAPZiJ5QFITRKQDDICI7KzuxUMofN/4IbKjYHlcypZH6yIRJSnK3QNzTRsyZIPMW0ekAwyAiOys58G/zOs/VWqlaVmIrDFHhjpxix0P+ocf4sauInJhDICI7Cjvw1toeG6fWr+ZMTs2FK+hdZGInukSgEe1asVuXAL+/lvrIhGlOgZARHbU9fBaNcGkWFTxJUS7e2hdJCKr3OnYMW5j5kwti0KUJtgNnvQzMvMzPO/ozN5Rkeh8+B+1HunugcUV2J2YnMfDOnWAQoWAixeBtWuBM2eA4sW1LhZRqmEARLoZmflZnnd05uandyJHyAO1vu6F2ridMXuKnodIEx4ewFtvAR98YNyeNQuYMkXrUhGlGgZApJuRmZNjj9GZu/8Xl/z8c6UWKXoOIk3JhL1jxgDh4caJfCdMACzmeiRyJQyASBcjM6e2Uveuo/rVE2r9tF8B7MlfNs1em8hu/P2BLl2ABQuABw+ARYuA/v21LhVRqmASNJEd9D613bz+c+UWgKlLMZGzGTgwfjK0waBlaYhSDQMgoueUWaa+OL9frT/xSoeVZRpqXSSilKtaFahe3bh++DCwc6fWJSJKFQyAiJ5TLwAZoiLU+soyLyLYJ73WRSJ6PgMGxK2zSzy5KAZARM8jOhrvWGz+VLmlhoUhspNOnYz5QGL5cuDmTa1LRGR3DICInkOWHTtgSrXeXrACTucopHGJiOwgXTrgtdeM65GRwPffa10iIrtjAET0HHJIL5lYc6u20bQsRHYlYwK5x35EfPutsWs8kQthAESUUkeOIPM+47xf5zP5Y3PRqlqXiMh+ChYE2rc3rgcFAUuWaF0iIrtiAESUUt98Y16dU6o+DG78dSIX8957cetff80u8eRS+BebKCVu3wYWLlSrMvnF0mKx3YaJXInMEG/ZJX7LFq1LRGQ3DICIUuK778w5ET8CCPHy0bpERPYnA3omrAUichEMgIhsFRFhHhvF4O6OGVqXhyg1degA5MtnXF+1Cjh9WusSEdkFAyAiWy1bZh4X5UGDBriodXmIUpOXFzBoUNz2tGlalobIbhgAEdlCkkAtmgFudeumaXGI0oRMiJo+doTz+fOBe/e0LhHRc2MARGQLSQI9cMC4XqkSnlSsqHWJiFJftmxAnz7G9ZAQ4IcftC4R0XPzfP6nINKRzz+PWx827LlmfQ8MDLT62JiYmBS/DpFdDB5sHBBRakGnTweGDDE2jxE5KQZARNaSbsDr1hnXCxcGOnZUgyHaKjr4vgqcunfvbvU5vr6+WLx4sc2vRWQ3xYsDL78M/PkncO0aIPdjz55al4ooxRgAEVnriy/i1ocOBTxT9usTEx6svkX7tRoKL7/8Vp2TzjPlNU1EdiO1nhIAmWpDJYg3TZdB5GQYABFZ4+JFYOlS47rMkm3Kh3gOEvz4BJimUk2et4eMwBv93K9J9Fzq1jUu27cDJ04Aq1cDrVtrXSqiFGHoTmSNKVOA6NgARLoEm3rEEOnNiBFx6xMncnoMcloMgIie5c4dYM4c47oEPgMGaF0iIu20aAGULWtc370b2LZN6xIRpQgDIKJnkVGfQ0ON6/36AX5+WpeISDvS89GyFmjSJC1LQ5RiDICIkvPkibHLr/DwMHb9JdK7zp2BQoWM62vXAocOaV0iIpsxACJKzo8/AnfvGte7dAEKFtS6RETakx6Q0iPMhLVA5ITYC4woKWFh8Qc+HD5cy9IQOZY+fRA9Zgw87t6FYdkynOjaFeH5rRvWwd/fHwUKFEj1IhIlhwEQUXK1P9evG9fbtgXKl9e6REQO4/Lt25jz8BE+lrSgmBjsaNsWb1h5bjrf9Dh1MpBBEGmKARBRYsLD41frjxmjZWmIHM6dO3fwTVQk3vf0RuaoCPRxc8cP7T/C1YzJdxKIvHsFd1dPVuczACItMQAiSsy8ecDVq8Z1Gf6/UiWtS0TkcB4CmFO6AYYc+QdehhgMObMHI196R+tiEVmFSdBECUVEGAd4Mxk7VsvSEDm070s3wCNv48CgrxzbiHwPbmpdJCKrMAAiSmj+fODyZeN6y5ZAlSpal4jIYT30SY95Vduoda+YaAzc9avWRSKyCgMgIgtukZHAZ5/F7WDuD9Ez/VitDR75ZFDrrxzdgPysBSInwACIyEJ2mdzx0iXjRvPmQPXqWheJyOE9SpcRP8bWAnkaYjBwZ+zEwUQOjAEQUSwvAAGS/GzC3B8iq82r2tpcC9Th2EYUuH9D6yIRJYsBEFGsfgB8rl0zbjRtCtSsqXWRiJyqFmhOtbbmWqBBrAUiB8cAiEgmeY8MR7xsn08+0a4wRE5cC/Qwthao3fFNKHwv9gsFkQNiAEQEoH/gVgSYNl55BahWTdsCETmhxz4Z8EP1duZaoPe3/aR1kYgcOwCaOXMmChUqhHTp0qFGjRrYu3dvsscvW7YMJUuWVMeXK1cOa9asMT8WGRmJDz74QO3PkCED8uTJg549e+K6aUoDogSyhj7C28c2qXWDzPjO2h+iFJtbtQ1uZ8iq1lue2oGK109pXSQixwyAli5diiFDhmDs2LE4ePAgKlSogGbNmuHWrVuJHr9z50507doVr732Gv777z+0bdtWLceOHVOPh4SEqOcZPXq0+n/FihU4deoUWrduncbvjJzF27uWIXNkmFq/K/dJiRJaF4nIaYV4+2JanW7m7ZFb5gEGg6ZlInLIAGjKlCno378/+vTpg9KlS2P27NlInz495s6dm+jx06ZNQ/PmzTFs2DCUKlUKEyZMQOXKlTFjxgz1eJYsWbB+/Xp06tQJJUqUQM2aNdVjBw4cwGXT4HZEsXI/uo1eB1er9VAAN15/XesiETm9JeWb4ny2PGq9xpVjePH8fq2LRORYc4FFRESowGTkyJHmfe7u7mjcuDF27dqV6DmyX2qMLEmN0e+//57k6zx8+BBubm7ImtVYLZtQeHi4WkwePXpkbk6TJa2YXistX9NRpfRaxMTEwNfXF+k83eDt8exvnUN3LoJPtPE1vvX0RH1/f5te09bXE1FeHjaf4+NuPM7W81L6eik5J63OM12LdA5cRi2uh/yfkmvi5ummzpF72W73vocHpjboiW9WGicUHrF1PnYXq4QYd48Uv541+Dc0Pj1ej0gb3qubwaBd3aTk5eTNm1c1a9WqVcu8f/jw4di6dSv27Nnz1Dne3t5YsGCBagYz+fbbbzF+/HgEBQU9dXxYWBjq1KmjcoZ++eWXRMsxbtw4dX5CixYtUrVR5JoyXrmChoMHwy0mBhEZMmDD7NmIzJRJ62IRuQaDAf/74ANkP31abR4cNAhXGjXSulTk4kJCQtCtWzdV8ZE5c2b9zgYvkaA0hUmMN2vWrCSPkxooy1olqQHKnz8/mjZt+swLaO/ySvNdkyZN4OUlw/LpV0qvxeHDh1GvXj3k6jYJ3rmKJHvsrGU/q+BHfF3qRYx//XVs27ZN5aGlxuuZPAn8F/fWTrfpHPl2P6FqDPr27YvM7cZafV5KXy8l56TVeaZrMXTRHlxfNdUhy6jF9Ri93x33jm+3+fUigs4jaNGIVLn3q1XrjYWnP1TruecvRu909fH43rUUvZ41+Dc0Pj1ej0exLTjW0DQA8vf3h4eHx1M1N7IdEGDulByP7LfmeFPwc+nSJWzatCnZQMbHx0ctCckNo8VNo9XrOiJbr4U0oYaGhiIsygBDtFuSx9U7fwANzxh7G97MmB3flaiH0P2r1fmp8XqWwiKjbT7HRM7ztvG8lLxeSsuYluexjPGFx7il7LwogzonNe797fnKY2PRamh0bh9yP76DrvtW45uCFVP0erbg31D9Xg8vG96npgGQNGdVqVIFGzduVD25hLQLy/bAgQMTPUeayuTxd99917xPIlzLJjRT8HPmzBls3rwZfn5+afBuyFl4Rkdh9KY55u2JDfog1NNb0zIRaS0wMDBVjv+8fi80OH8AHrFzhC3OWQQpmSpVOrHcuXMn2WPk88NUOyUBlumLdoECBVLwiuTqNG8Ck6anXr16oWrVqqhevTqmTp2KJ0+eqF5hQsbwkTyhiRMnqu3Bgwejfv36mDx5Mlq2bIklS5Zg//79+P77783BzyuvvKK6wK9evRrR0dG4edP465Y9e3YVdJG+df9vDYrfvaLWD+QpiT9KNwCCzmldLCJNRAffB9zc0L1791R5/tM5CmFp+SbodngdMkWE4qMDq9AlBcFPiZKlEBYakuxxkly9ePFi1TQntUwinW96nDoZyCCIHC8A6ty5M27fvo0xY8aoQKVixYpYu3YtcuXKZb7xTZG8qF27tkpOHjVqFD788EMUL15c9QArW7asevzatWv4888/1bo8lyWpDWrQoEGavj9yLNlCHuK97XHJ8OMbv67++BPpVUx4sEpY9ms1FF5++a0+L/T8fjz8d6FVx35VrydantyOLOFP0PncPnxtYxml5keCn2eVUXqkCclLkqa5yLtXcHf1ZHU+AyByuABISHNXUk1eW7ZseWpfx44d1ZIYGVFaw45t5OCGbP9F/REWy8o2xpHcL2hdJCKHIIGFT0Axq4+X4MJa99JnwZT/dcf4Dd+p7enyT2xzlT3LaOyOH62Ssm3NryP90XwgRKK0UvLWBXQ7tFatB3v74ov6PbUuEpFuLKzUAoE5Cql1mWnP748/tC4S6RwDINIHgwFjNv6gEjHFjFqdcTtjdq1LRaQb0e4exibnWHlk9P779zUtE+kbAyDShTYntqD25SNq/VLWADVhIxGlrd0FyuOPQsbcTK8HD2QUWq2LRDrGAIhcXpbQx/G6vU9o2B8RnvoYE4PI0XxctQ2MWXgAZs6UPuvaFoh0iwEQubwPN8+Ff8hDtb7mhdrYULyG1kUi0q3rGbLhM9NGdDTQr5/xf6I0xgCIXFrNy0fQ+eh6tf7IOz3GNX5D6yIR6d5X0o2+cGHjxv79wLRpWheJdIgBELksn6gIfLpupnn7iwa9cSsTRwUn0lqEjPE2enTcGFyjRgHnz2tdLNIZBkDkst7e9SuK3rtmHvH5l4rNtS4SEcV6IhOhDhhg3JBRm994Q/XWJEorDIDIJb3w4Cbe2r1crUe6e2Bk84EwuPF2J3Ion30G5I8d2XnDBmDBAq1LRDrCTwRyOR4ApuxYDO+YKLX9XY0Oaj4iInIwmTIBs2bFbQ8ZAgQFaVki0hEGQORyRgKocueSWj+fLQ+m1+qsdZGIKCktWwJduxrXZWBEmRaJTWGUBhgAkUtJf+IExsSuR7m5Y0iroQj38tG4VESULOkF5hfbQWH5cuDnn7UuEekAAyByHaGhKDR6NExDHM6s1QmH8pTQuFBE9Ew5csRvCpNaoAsXtCwR6QADIHIdI0Yg3cWLavWwX35Mr91F6xIRkbU6dgR69TKuP34MdO8ORBnz+IhSg2eqPCtRWlu/HvjmG7UaCmBQ3VcR5cHbm8hRBQYGPrXPvW9flNqwAT7XrgE7d+L6oEG42b9/oscSPS9+QpDzu3cP6NPHvPkBgDNZA8DMHyLHEx18Xw2A2F1qeBJRE8C/sR9OOWfPRrvZs7E3zUtJesAAiJxbTAzQowcg3xhluovq1TFj717k0rpcRJSomPBg1cvLr9VQePnFjgFkQRqxpx76G+8fXqc+oJZk8kfdco1wfedSTcpLros5QOTcJk0C1qwxrvv749K4cWAHWiLHJ8GPT0CxRJdZTd/GwdgODIUf38GMi4e0Li65IAZA5Lw2bgRkPiEhcwotWoTIXKz7IXJ20e4eeLfV+2oCY9Hu+im8q3WhyOUwACLnJE1e3boZm8DE+PFAkyZal4qI7ORyttwY2mqIeftLyQ+6eU7TMpFrYQBEzicyEujSBbh1y7jdrBnw0Udal4qI7Gx98ZqYUauTWpd8oO+2zkfOx3e1Lha5CAZA5Hw++ADYvt24LhMpLlwIuPNWJnJFU+q+is3+BdV6zrDHmPX7RHhFR2pdLHIB/NQg5/Ldd8DXXxvXvbyAZctU8jMRuaYYdw+8UbkFjLP7AVWun8SYjT9oXCpyBQyAyLkGOxwwIG57xgygRg0tS0REaeCed3p0ABDu7qG2e/y3Bn33/aF1scjJcRwgcmhXr17F/fv3ke7cOZTo0wce0dFqf1D37rhWtSpw8GC84zliLJFrOgBgeK1OmLZjsdoetWkOrmXOgXUlamtdNHJSDIDIoVWpWg1e9+5iDwDjdz9gJYBXFi5EjOT+EJFu/FqsBooYDBi8cwncYcC01V+hW8ZPcTBvKa2LRk6IARA5NLeQJ1idNTcKPbhhnuR0aLOByOmV+EQXoef34+G/DIyIXNXXdV9FvodB6HB8M9JFReCH3yagfY+vcClbHq2LRk6GARA5LPfISCyJiEC1MGPwcz2TP/p3/gQxmfySnOcr8u6VNC0jEaUxNzeMeOkdBATfRZ1LR+AX+gjzl41Fh+5f4UmmzFqXjpwIk6DJMUVGoupXX6FJ7ECHMiLsa6+Mwa1MflqXjIg0FunhhTfbfYSTsd3jC9+/gZ+XjkaW0MdaF42cCAMgcjzR0fB47TXk3iOZP0CIpzf6dByHwJxFtC4ZETmIxz4Z1N+FGxmNX4rK3DqPuYvHwDM4WOuikZNgAESOxWAA3nwT7kuWqM0wAL0a9sOBfKW1LhkROZgbmXOgW9fPcCtDNrVd9uZZ1B4/HhnDnmhdNHICDIDIcUhz16BBwJw5xk0PD7zq7Y3tuV/QumRE5KAuZM+Lrl0+w530WdR2tjNn8MPSccgQHqJ10cjBMQAix5nfq3dvYOZMtWlwd8eBIUPwt4ep8zsRUeLO+edHty6f4r5vJrVd+dpJzF82DpkjGARR0tgLjGxy+fJl3Llzx+bzwsPD4eOTeN8tt7AwFB45Elm3bVPbBg8PXBgzBtcrVDCO9pyGbB1IkQMvEjmG0zkKoXe3T7Bs6UfwDg5GtWsnsHLtdDTWumDksBgAkU3BT4mSpRAWmoJvVW7ugMHYo8uSfF/7E0DW2O1wAJ2jo/HPpElYvNg44mtaiA6+r7rXdu/ePc1ek4js62SuItg5fjzKjxqP7KGPUPr+DewE8OTiRaByZa2LRw6GARBZTWp+JPjxazUUXn75rT7PNDhhwvNyhD7Cwg3fo/y9q2o72NMHvRu+hj25X0AuTzekpZjwYJWAndL3RkSO4WHRouja8wvMWTIW+R8GoRCAqL59gXz5gOrVtS4eORAGQGQzCRB8AopZfbxpcELL86S3xvd/f4M8j43Nafd8M6N3x3E4kvsFNciht4dB6mXgLO+NiBzHRb+8aN/9S8xbNAJl71+H58OHwIsvAlKr3Lq11sUjB8EkaEpzrU9sxfJfhpuDn2uZcqBjt89V8ENEZA+3M2ZH++aDsNm0IyQEaNMGGDfO2OOUdI8BEKUZ95gYDN86H9+s+lLN4SP25y2FNr2mqF4cRET29NjbF82lhrlZs7id48cbAyGpFSJdYwBEaSIHgJ82/YC3dy8371tSvim6yfgdsYOYERHZm3zVuvjpp8AXXwDusR95q1cD1aoBJ05oXTzSEAMgSnUNb13AEQCNrhm7jEe5uWNs4zcwovkgRHh6aV08InJ1bm7AsGHA2rVA9uzGfWfOGIOg774zjkBPusMAiFKNd1QkRm/8Ab/uXYGA2H2302dFr04fY0GVl41/lIiI0kqTJsD+/UDFinF5QW++Cbz8MnDzptalozTGXmCUKkoHncdXa75G6VsXzPs25i2FD9p9yCYvIkpTCQcsdZsxA/m+/ho5fvvNuOOvvxBZqhQujxqFh9JbDIC/vz8KFCigRXEpjTAAIrvyjQjDuzsW4bV9v8MzduDDMHcPDIuJxvJGr8OHwQ8RpZFnDXDaAsCPgKqh9nrwAEXffx+LAAwF8MA3PU6dDGQQ5MIYAJHdNDy7Fx+vn4V8j26b953yL4D+pRvg320/IYBNXkTkQAOcHgTQOCwYX+5cipeuHFX7ugF42dMbo0JDcOfmTQZALowBED23Inev4oOt89HszG7zvnAPL3xTuwu+r9Ee909u17R8RKRvyQ1wGgzgrYIV0OHYJny0+Uc1hUamqAhMkxShHj2AuXOBOnXSvMyU+hgAUYrlCL6nmrs6H/7H3Nwl/i1YEaOavY1L2fJoWj4iIqu4ueG3co2wsVg1DN+6AN0Or1O7058+DdStaxw3aMIEoFw5rUtKdsReYGSzLOEhGLrtZ2z9vj9ePbTWHPzcypANg1sNRY/OExj8EJHTeeCbGR82H4QWLd5VzWNmf/wBVKgASC7R2bPaFZDsigEQWc0rKAhfATiwfBwG7VqK9JHh5tFWv/xfD9R//Qf8UeZFdm8nIqf2X45CqAbg0kcfAXnzGnfKWEG//AKULAn06gUckdHNyJkxAKJnO34c6NMHZVq3Vr0jMsROYxHh7om5VVqj/htzMLN2Z4R6p9O6pEREdiH12nfbtzcOmDh5MuDnZ3wgOhr46SdjjVDTpsC6dRxI0UkxAKLEhYYCP/8M/O9/QNmywPz5cI+KMj7k4YWfK7VAw/6z8XHj13EvfRatS0tElDp8fYEhQ4Dz540TqWazGMpj/XqgeXPj38ipU4E7xgmeyTkwCdoFXL58GXdS8Iv31EBf8i1GRkmVwEeWBw/iHR+VKRMmPX6MJR3GILhwJXsUnYjIaQZQlBGj3Rs1gt+qVcj5yy/wuXbNuF/mFHvvPRiGD4ebJEy/9ppx1GkPD7js54ULYADk5ORmLlGyFMJCQ2w+N50M9BV4AgXu3QOWLgV+/RW4EDdys1np0sAbb+BYpUoYXa8eAnwzwcc+xScicroBFE3NJ20BvAegbuw+t8hIYPly45IzJ9CuHdChA9CgAeDl5fyfFydda2BIBkBOTiJ5uZmTGugrMemiIlD9zG7U3bsCuWR8C9O3mHgHpQM6dwZefx2oVUv9MYg5GK9fBBGRLgdQNNkZuxR/cBOdjm5Ax/P7kcv04K1bxolWZZEJWFu3NjaXNW4cl0/kBJ8XIvLuFdxdPVmdzwCInGqgL8/oKJS7eRbVrh5H7UtHUPPKURUEKZbBj1TXNmwIdOpk/NZi2dZNRKQzyf1dtXQ5oBg+zRqA987vx8nJk1F0xw7g77+NuZRCatnnzzcu0ktWZqGXBGqZd6xGDSBDBjji+3J1DIBcUM7Hd1Eu6CzK3ziLqteOo9L1U+Yu6wkZPDzgVq9eXNCTI0eal5eIyBVIN5GH0twlSdNPnhiDIJlwdfVqIDg4Ltdy717j8sknxi+elSoZR5uWpUoVoHBhDieSBhgAObOwMPiePo2uAKof/AtlQx6gXNA55Aq+l+xpNzL6YVPu4vjtzG6M2bQJFSUAIiIi+5FanVdeMS5hYcC//xq7zMty7FjccdKtXjqfyDJtWuxos1mMQZEs5csDpUoZxx+S/eRaAdDMmTPx5Zdf4ubNm6hQoQKmT5+O6tWrJ3n8smXLMHr0aFy8eBHFixfH559/jhYtZF5fI4PBgLFjx+KHH37AgwcPUKdOHcyaNUsd61Tkm4L0xLpyBbh0CTh3zjgKqfwfu5SKiVGzF+Po+iSf5lqmHNibvwz25i+LvfnK4JxfPoQHncPNM7sxKmPGtHxHRET6IzmV0itMlq++Aq5fBzZsALZvB6S5THqRWXr4ENiyxbhYypPHGAgVK2asJSpSxLgUKmTMK2KtkXMFQEuXLsWQIUMwe/Zs1KhRA1OnTkWzZs1w6tQp5JQs+gR27tyJrl27YuLEiWjVqhUWLVqEtm3b4uDBgygrYzEA+OKLL/DNN99gwYIFKFy4sAqW5DlPnDiBdHIjah3USNWodEO8e9e43L4N3LwJ9+vXUfngQXjMmAFcvWoMfORYGzz0yYCjAcVwLKAYjuYqhkN5SuBalqevIxERaUQCmZ49jYspR2jXLmOzmHQ2+e+/xDunSOAky6ZNTz/m42MctTpfPuP/AQFw9/NDgaAgqLAoTx54X78OqUNys5i7Uc80D4CmTJmC/v37o0+fPmpbAqG//voLc+fOxYgRI546ftq0aWjevDmGDRumtidMmID169djxowZ6lyp/ZEgatSoUWgj4zFABu38Cbly5cLvv/+OLl26QDNVqwJHjwIRsQnICciIEVbn5adPD5Qogbu5c+PLNWtwvWE/XCheE1ey5OK3ACIiZyK9xFq2NC6WvcgkEJLaIRmPyLTIl+bEhIcbB2uUxeIzRY3YNn262pYqAhndLfrnoXiQLhMe+2TAY5/06v9g9X96PPHyRYiXD0K8ffHEKx3CvHzwOOQBbgDILM140iohwZZUJpj+9/aOv0iXf1ncHXusZU0DoIiICBw4cAAjR44073N3d0fjxo2xS6LhRMh+qTGyJLU7EtyICxcuqKY0eQ6TLFmyqNolOVfTAEjGiEgi+El09NH8+eMvUu1ZtKhxyWUMdC4dPIjP16xBQP6y8MkakNrvgIiI0oK0gDRrZlwsSQAk47WZgh1ZpLVAWg2k1uj+/Wc+tYd08Q99pBabvPuubcdLACSBkKdn/EUSv+V/+VyTZkA9BkAypkB0dLSqnbEk2ydPnkz0HAluEjte9pseN+1L6piEwsPD1WLyUNpfVa3kPURK0GInHkWKwC0qCgaJ9rNnN/4vXc39/GDImRNR2bNj94ULqN6qFbz8/ZOvyZEqUwCPHj1SzXpudy/AEJN4T6/EuN2/rs6TAFSewxpnzpxJ0Wu5P75h83kxnkBISH6bz0vJa6X1eWl5PdKyjGl1nulauD++6bBl1OJ6xNy44rBlfN7zrD3H8loYotK2jCn5m2p+PXd3xMTY2CyVMyfcAwIQU7Nm/OcKC4PXnTvwun8fHnfvIuTyZfhFR8Pr0SOEXLuGc/v3wz9zDmSLjkTGiDBkigiDJ1JpLjN5T/LZavH5akleNSqpGq0Uevz4sfG5rZmfzaCha9euSQkNO3fujLd/2LBhhurVqyd6jpeXl2HRokXx9s2cOdOQM2dOtb5jxw71nNevX493TMeOHQ2dOnVK9DnHjh2rzuHChQsXLly4wOmXK1euPDMG0bQGSOYW8fDwQFBQULz9sh0QkHhzjuxP7njT/7Ivd+7c8Y6pWLFios8pTXCWzWoSiUvtj5+fH9zSMJ9GvjXkz58fV65cQebMmaFnvBbx8XrE4bWIj9cjDq9FfHq8HgaDQdUC5ZFE82fQNADy9vZGlSpVsHHjRtWTyxR8yPbAgQMTPadWrVrq8Xct2iIlCVr2C+n1JUGQHGMKeOQm2LNnD956661En9PHx0ctlrJmzQqtyI2ql5v1WXgt4uP1iMNrER+vRxxeC31fjyxWjpekeS8wqXnp1asXqlatqsb+kR5cT548MfcK69mzJ/Lmzau6vYvBgwejfv36mDx5Mlq2bIklS5Zg//79+P7779XjUmMjwdEnn3yixv0xdYOXaNAUZBEREZG+aR4Ade7cGbdv38aYMWNUkrLU2qxdu9acxCyz10qCmEnt2rXV2D/Szf3DDz9UQY70ADONASSGDx+ugqjXX39dDYRYt25d9ZyajwFEREREDkHzAEhIc1dSTV5bEo6ECaBjx45qSYrUAn388cdqcSbSDCcjWCdsjtMjXov4eD3i8FrEx+sRh9ciPl6P5LlJJvQzjiEiIiJyKY49TCMRERFRKmAARERERLrDAIiIiIh0hwEQERER6Q4DII2NGzdO9VqzXEqWLAm92LZtG15++WU1TpO8d9OktiaSoy9DJMio3r6+vmqSW5mTTI/Xonfv3k/dK82bN4erkrG/qlWrhkyZMiFnzpxqHK9Tp07FOyYsLAwDBgxQo7ZnzJgRHTp0eGqkeL1ciwYNGjx1f7z55ptwRbNmzUL58uXNA/zJQLh///237u4La66Fnu4LWzEAcgBlypTBjRs3zMt2DWfHTWsyXlOFChUwc+bMRB//4osv8M0332D27NlqNO8MGTKgWbNm6g+c3q6FkIDH8l5ZvHgxXNXWrVvVh9ju3bvVaO8yMXHTpk3VdTJ57733sGrVKixbtkwdf/36dbRv3x56vBaif//+8e4P+f1xRfny5cOkSZPUxKMyEG7Dhg3Rpk0bHD9+XFf3hTXXQk/3hc2eOVsYpSqZiLVChQpaF8MhyO24cuVK83ZMTIwhICDA8OWXX5r3PXjwwODj42NYvHixQU/XQvTq1cvQpk0bg17dunVLXZetW7ea7wWZHHnZsmXmYwIDA9Uxu3btMujpWoj69esbBg8ebNCrbNmyGebMmaPr+yLhtRB6vy+SwxogByBNOtLsUaRIEbz66qtq9GsCLly4oEYHl2YvyzleatSogV27dkGPZGBQaQI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    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 👉 # TODO: import numpy and create an array of 365\n", + "# normally-distributed °C values (µ=20, σ=5) called temps\n", + "\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt \n", + "temps = np.random.normal(loc=20 , scale=5 , size=365)\n", + "\n", + "# رسم هیستوگرام\n", + "plt.hist(temps, bins=30 , edgecolor='black', density=True)\n", + "\n", + "# رسم منحنی چگالی احتمال روی هیستوگرام\n", + "from scipy.stats import norm\n", + "xmin, xmax = plt.xlim()\n", + "x = np.linspace(xmin, xmax, 100)\n", + "\n", + "p = norm.pdf(x, np.mean(temps), np.std(temps)) #pdf\n", + "plt.plot(x, p, 'r', linewidth=2)\n", + "\n", + "# تنظیمات نمودار\n", + "plt.title(\"Normal distribution yearly\")\n", + "plt.xlabel(\"temp of daily\")\n", + "plt.ylabel(\"Probability density\")\n", + "\n", + "plt.grid(True)\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BtsB8QKM9Xs_" + }, + "source": [ + "### Task 2 — Average temperature\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "DSR8aS-F9Z10" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "float64\n", + "19.81\n" + ] + } + ], + "source": [ + "# 👉 # TODO: print the mean of temps\n", + "temps_mean = round((np.mean(temps)) , 2 )\n", + "\n", + "print(temps_mean.dtype)\n", + "print(temps_mean)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8JjHX4wy9dPz" + }, + "source": [ + "## 2 · pandas 📊\n", + "Quick-start notes\n", + "Main structures: DataFrame, Series\n", + "\n", + "Read data: pd.read_csv, pd.read_excel, …\n", + "\n", + "Selection: .loc[label], .iloc[pos]\n", + "\n", + "Group & summarise: .groupby(...).agg(...)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wRyJyhbt9uUr" + }, + "source": [ + "### Task 3 — Load ride log\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "id": "1J4jcLct9yVO" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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    datetempridesweekday
    02024-01-0113.3141Monday
    12024-01-0218.4174Tuesday
    22024-01-0325.3256Wednesday
    32024-01-0419.5188Thursday
    42024-01-0525.6234Friday
    52024-01-0624.4253Saturday
    62024-01-0728.6297Sunday
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    " + ], + "text/plain": [ + " date temp rides weekday\n", + "0 2024-01-01 13.3 141 Monday\n", + "1 2024-01-02 18.4 174 Tuesday\n", + "2 2024-01-03 25.3 256 Wednesday\n", + "3 2024-01-04 19.5 188 Thursday\n", + "4 2024-01-05 25.6 234 Friday\n", + "5 2024-01-06 24.4 253 Saturday\n", + "6 2024-01-07 28.6 297 Sunday" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# 👉 # TODO: read \"rides.csv\" into df\n", + "# (columns: date,temp,rides,weekday)\n", + "import pandas as pd \n", + "df = pd.read_csv(\"rides.csv\")\n", + "df.head(7)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "byKd8SFK9w2y" + }, + "source": [ + "### Task 4 — Weekday averages" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "id": "4rLrxkPj90p3" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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    weekdayrides
    0Friday195.942308
    1Monday196.830189
    2Saturday188.884615
    3Sunday203.134615
    4Thursday206.403846
    5Tuesday201.461538
    6Wednesday210.576923
    \n", + "
    " + ], + "text/plain": [ + " weekday rides\n", + "0 Friday 195.942308\n", + "1 Monday 196.830189\n", + "2 Saturday 188.884615\n", + "3 Sunday 203.134615\n", + "4 Thursday 206.403846\n", + "5 Tuesday 201.461538\n", + "6 Wednesday 210.576923" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# 👉 # TODO: compute and print mean rides per weekday\n", + "df_mean_weekday = df.groupby('weekday')[['rides']].mean().reset_index()\n", + "df_mean_weekday" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gbGMbtLf94M4" + }, + "source": [ + "## 3 · Matplotlib 📈\n", + "Quick-start notes\n", + "Workhorse: pyplot interface (import matplotlib.pyplot as plt)\n", + "\n", + "Figure & axes: fig, ax = plt.subplots()\n", + "\n", + "Common plots: plot, scatter, hist, imshow\n", + "\n", + "Display inline in Jupyter with %matplotlib inline or %matplotlib notebook" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QOsToPh2-AnZ" + }, + "source": [ + "### Task 5 — Scatter plot" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "id": "_pCU2mIH-DAi" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 👉 # TODO: scatter-plot temperature (x) vs rides (y) from df\n", + "import matplotlib.pyplot as plt \n", + "\n", + "x = df['temp']\n", + "y = df['rides']\n", + "\n", + "plt.scatter(x, y) \n", + "\n", + "plt.xlabel('Temperature (°C)')\n", + "plt.ylabel('Number of Rides')\n", + "plt.title('Temperature vs. Rides')\n", + "plt.grid(True)\n", + "\n", + "plt.show()\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "TBGXIzVV-E5u" + }, + "source": [ + "### Task 6 — Show the figure\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "outputs": [ + { + "data": { + "image/png": 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IQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaYQ9CEydOlKJFi0rWrFmlZs2asnHjxuseP2HCBCldurRky5ZNChUqJH369JGLFy+mWX0BAEDkCGsQmjdvnvTt21diY2Nl8+bNUrlyZWnSpIkcO3Ys4PEfffSRDBgwwBy/c+dO+eCDD8xzvPzyy2ledwAAkP6FNQiNHz9eunTpIp06dZJy5crJlClTJCYmRqZPnx7w+PXr10udOnWkbdu2phepcePG0qZNmxv2IgEAAAQSLWFy+fJl2bRpkwwcONBbljFjRmnYsKFs2LAh4GNq164t//jHP0zwqVGjhuzfv1+WLl0qTz/9dLKvc+nSJXPxOHPmjPl55coVc0H4eD5/2sEdaA/3oC3cg7Zwj1C1QdiC0IkTJyQhIUHy5cvnV663d+3aFfAx2hOkj6tbt644jiNXr16V55577rpDY6NGjZKhQ4cmKV+zZo3pfUL4rVixItxVgA/awz1oC/egLcLv/PnzkRWEbsbatWtl5MiRMmnSJDOxeu/evdKrVy8ZPny4vPLKKwEfoz1OOg/Jt0dIJ1k3aNBAcuXKlYa1R6B0r39cGjVqJJkyZQp3daxHe7gHbeEetIV7nDx5MrKCUO7cuSUqKkqOHj3qV6638+fPH/AxGnZ0GOyZZ54xtytWrCjnzp2Trl27yqBBg8zQWmJZsmQxl8T0F5pfanegLdyF9nAP2sI9aIvwC9XnH7bJ0pkzZ5Zq1arJqlWrvGXXrl0zt2vVqpVst1jisKNhSulQGQAAQLoZGtMhqw4dOkj16tXN5GfdI0h7eHQVmWrfvr0ULFjQzPNRzZs3NyvN7rvvPu/QmPYSabknEAEAAKSLINS6dWs5fvy4DBkyRI4cOSJVqlSRuLg47wTq+Ph4vx6gwYMHS4YMGczPX375RfLkyWNC0IgRI8L4LgAAQHoV9snSPXr0MJfkJkf7io6ONpsp6gUAACDdn2IDAAAgXAhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1rrlIHTmzBlZtGiR7Ny5Mzg1AgAAcGsQeuKJJ+Tdd9811y9cuCDVq1c3ZZUqVZJPP/00FHUEAABwRxBat26d1KtXz1xfuHChOI4jv//+u7z99tvy2muvhaKOAAAA7ghCp0+flpw5c5rrcXFx8uijj0pMTIw0a9ZMfvzxx1DUEQAAwB1BqFChQrJhwwY5d+6cCUKNGzc25adOnZKsWbOGoo4AAAAhEZ3aB/Tu3VvatWsn2bNnl8KFC8sDDzzgHTKrWLFiKOoIAADgjiDUrVs3qVGjhvz000/SqFEjyZjx/zqVihcvzhwhAAAQ2UFI6UoxXSV24MABKVGihERHR5s5QgAAABE9R+j8+fPSuXNnM0G6fPnyEh8fb8qff/55GT16dCjqCAAA4I4gNHDgQPnuu+9k7dq1fpOjGzZsKPPmzQt2/QAAANwzNKa7SGvguf/++yVDhgzecu0d2rdvX7DrBwAA4J4eoePHj0vevHmTlOtyet9gBAAAEHFBSCdKL1myxHvbE36mTZsmtWrVCm7tAAAA3DQ0NnLkSHn44Ydlx44dcvXqVXnrrbfM9fXr18sXX3wRmloCAAC4oUeobt26snXrVhOCdAPF5cuXm6Ey3W26WrVqoagjAACAe/YR0r2Dpk6dGvzaAAAAuK1H6MyZMym+pNbEiROlaNGiZil+zZo1ZePGjdc9Xs903717d7n77rslS5YsUqpUKVm6dGmqXxcAACBFPUJ33nlnileEJSQkpPjFdRl+3759ZcqUKSYETZgwQZo0aSK7d+8OuDLt8uXL5rQeet8nn3wiBQsWlEOHDpn6AQAAhCQIrVmzxnv94MGDMmDAAOnYsaN3lZjOD5o1a5aMGjUqVS8+fvx46dKli3Tq1Mnc1kCkK9KmT59uXiMxLf/tt9/MxOxMmTKZMu1NAgAACFkQql+/vvf6sGHDTIBp06aNt6xFixZm4vT7778vHTp0SNELa+/Opk2bzE7VHnoCV92hWoNVIJ999pkJXzo09s9//lPy5Mkjbdu2lf79+0tUVFTAx1y6dMlcPDzDd1euXDEXhI/n86cd3IH2cA/awj1oC/cIVRukerK0hhTtuQm0v9AzzzyT4uc5ceKEGUbLly+fX7ne3rVrV8DH7N+/X1avXi3t2rUz84L27t0r3bp1Mx9ObGxswMdoL9XQoUMD9nLp+dIQfitWrAh3FeCD9nAP2sI9aIvw03OduiIIFSpUyKwYGzNmjF+5bqio94XStWvXzPwg7XnSHiBdrv/LL7/IG2+8kWwQ0h4nnYfk2yOk9WzQoIHkypUrpPXF9WmA1T8uOu/LM9SJ8KE93IO2cA/awj1OnjzpjiD05ptvyqOPPiqff/65meCsdKXXjz/+KJ9++mmKnyd37twmzBw9etSvXG/nz58/4GN0pZj+IvoOg5UtW1aOHDlihtoyZ86c5DG6skwvienz8EvtDrSFu9Ae7kFbuAdtEX6h+vxTvaFi06ZNZc+ePdK8eXMzcVkvel3L9L6U0tCiPTqrVq3y6/HR28mdqqNOnTpmOEyP89DX1YAUKAQBAAAEfUNFHVrSU23cKh2y0snVOr+oRo0aZvm8nrzVs4qsffv2Zom8ZzXa//7v/8q7774rvXr1kueff970Qmk9evbsect1AQAA9klREPr++++lQoUKZlWXXr+eSpUqpfjFW7dubc5mP2TIEDO8VaVKFYmLi/NOoI6Pjzev6RvAli1bJn369DGvoyFJQ5GuGgMAAAhJENKAokFFJyrrdd1c0XGcJMdpeWo2VFQ9evQwl0DWrl2bpEyHzb755ptUvQYAAMBNB6EDBw6YPXs81wEAAKwJQkWKFAl4PbELFy4Ep1YAAABpINWrxgLRnZvHjRsnxYoVC8bTAQAAuCsIadjRzQl1hVft2rVl0aJFpnzGjBkmAOmKL53EDAAAEHHL53Vl13vvvWfOBaYnPX388cfNMneduKznHtPbyZ3vCwAAIF0Hofnz58uHH35oTrC6bds2s3z96tWr8t1335nVYgAAABE7NPbzzz+bnaCV7imkp63QoTBCEAAAiPggpPsD+Z7GIjo6WrJnzx6qegEAALhnaEw3UOzYsaP3BKYXL16U5557Tm677Ta/4xYsWBD8WgIAAIQzCOk5wXw99dRToagPAACA+4KQLpMHAACIJEHZUBEAACA9IggBAABrEYQAAIC1CEIAAMBaKQpCVatWlVOnTpnrw4YNk/Pnz4e6XgAAAO4IQjt37pRz586Z60OHDpU//vgj1PUCAABwx/L5KlWqmBOs1q1b12ysOHbs2GR3ldaTswIAAERMEJo5c6bExsbK4sWLzbnFPv/8c3OKjcT0PoIQAACIqCBUunRpmTt3rrmeMWNGWbVqleTNmzfUdQMAAHDHztIe165dC01NAAAA3B6E1L59+2TChAlmErUqV66c9OrVS0qUKBHs+gEAALhnH6Fly5aZ4LNx40apVKmSufz73/+W8uXLy4oVK0JTSwAAADf0CA0YMED69Okjo0ePTlLev39/adSoUTDrBwAA4J4eIR0O69y5c5Lyv/3tb7Jjx45g1QsAAMB9QShPnjyydevWJOVaxkoyAAAQ0UNjXbp0ka5du8r+/fuldu3apuzrr7+W119/Xfr27RuKOgIAALgjCL3yyity++23y7hx42TgwIGmrECBAvLqq69Kz549Q1FHAAAAdwQh3T1aJ0vr5ezZs6ZMgxEAAIAV+wh5EIAAAIBVk6UBAAAiBUEIAABYiyAEAACslaogdOXKFXnwwQflxx9/DF2NAAAA3BiEMmXKJN9//33oagMAAODmobGnnnpKPvjgg9DUBgAAwM3L569evSrTp0+XlStXSrVq1eS2227zu3/8+PHBrB8AAIB7gtC2bdukatWq5vqePXuSbLYIAAAQsUFozZo1oakJAABAelk+v3fvXlm2bJlcuHDB3HYcJ5j1AgAAcF8QOnnypFlCX6pUKWnatKkcPnzYlHfu3FleeOGFUNQRAADAHUFIT7aqy+jj4+MlJibGW966dWuJi4sLdv0AAADcM0do+fLlZkjsnnvu8Su/99575dChQ8GsGwAAgLt6hM6dO+fXE+Tx22+/SZYsWYJVLwAAAPcFoXr16smHH37ot2T+2rVrMmbMGGnQoEGw6wcAAOCeoTENPDpZ+ttvv5XLly9Lv379ZPv27aZH6Ouvvw5NLQEAANzQI1ShQgWzkWLdunWlZcuWZqjskUcekS1btkiJEiVCUUcAAAB39AipHDlyyKBBg4JfGwAAALcHoVOnTpkTr+7cudPcLleunHTq1Ely5swZ7PoBAAC4Z2hs3bp1UrRoUXn77bdNINKLXi9WrJi5DwAAIGJ7hLp37242T5w8ebJERUWZsoSEBOnWrZu574cffghFPQEAAMLfI6TnGNNTaXhCkNLrffv2NfcBAABEbBCqWrWqd26QLy2rXLlysOoFAADgjqGx77//3nu9Z8+e0qtXL9P7c//995uyb775RiZOnCijR48OXU0BAADCEYSqVKlidpB2HMdbphspJta2bVszfwgAACBigtCBAwdCXxMAAAA3BqEiRYqEviYAAADpYUPFX3/9Vb766is5duyYOeGqL51DBAAAEJFBaObMmfLss89K5syZJVeuXGbukIdeJwgBAICIDUKvvPKKDBkyRAYOHCgZM6Z69T0AAIBrpDrJnD9/Xp588klCEAAASPdSnWY6d+4s8+fPD01tAAAA3Dw0NmrUKPnrX/8qcXFxUrFiRcmUKZPf/ePHjw9m/QAAANzTI6RBaNmyZXL06FFzgtUtW7Z4L1u3br2pSuiu1HpG+6xZs0rNmjVl48aNKXrc3LlzzQTtVq1a3dTrAgAAu6W6R2jcuHEyffp06dixY1AqMG/ePHPC1ilTppgQNGHCBGnSpIns3r1b8ubNm+zjDh48KC+++KLUq1cvKPUAAAD2SXWPUJYsWaROnTpBq4AOpXXp0kU6deok5cqVM4EoJibGhK3kJCQkSLt27WTo0KFSvHjxoNUFAADYJdU9QnrC1XfeeUfefvvtW37xy5cvy6ZNm8xSfA9djdawYUPZsGFDso8bNmyY6S3SidtffvnldV/j0qVL5uJx5swZ8/PKlSvmgvDxfP60gzvQHu5BW7gHbeEeoWqDVAchnb+zevVqWbx4sZQvXz7JZOkFCxak+LlOnDhhenfy5cvnV663d+3aFfAxuqP1Bx98kOL5SDqnSXuOEluzZo3peUL4rVixItxVgA/awz1oC/egLcJPt+9xRRC688475ZFHHpFwOHv2rDz99NMydepUyZ07d4oeo71NOgfJt0eoUKFC0qBBA7MzNsKb7vWPS6NGjZIEaqQ92sM9aAv3oC3c4+TJk+4IQjNmzAjai2uYiYqKMivQfOnt/PnzJzl+3759ZpJ08+bNvWWec51FR0ebCdYlSpRIMqdJL4npLzS/1O5AW7gL7eEetIV70BbhF6rPP6zbQ+v5yqpVqyarVq3yCzZ6u1atWkmOL1OmjFmyr8NinkuLFi1M745e154eAACAkPUIFStWzO9Eq4nt378/Vc+nw1YdOnSQ6tWrS40aNczy+XPnzplVZKp9+/ZSsGBBM9dH9xmqUKFCkqE6lbgcAAAg6EGod+/eScZPdTNF3Wn6pZdeSu3TSevWreX48ePmRK5HjhyRKlWqmOfyTKCOj4/nvGYAAMA9y+eT2x3622+/valK9OjRw1wCWbt27XUfO3PmzJt6TQAAgKB1tTz88MPy6aefBuvpAAAA0k8Q+uSTTyRnzpzBejoAAAD3DY3dd999fpOlHccxc3t0ns+kSZOCXT8AAAD3BKHEZ3rXicx58uSRBx54wCxvBwAAiNggFBsbG5qaAAAApDHWpQMAAGuluEdIh8Cut5Gi0vuvXr0ajHoBAAC4JwgtXLgw2fs2bNggb7/9tve8XwAAABEVhFq2bJmkTE9yOmDAAPnXv/4l7dq1k2HDhgW7fgAAAO6aI/Trr79Kly5dpGLFimYoTE94OmvWLClSpEjwawgAAOCGIHT69Gnp37+/lCxZUrZv327OEq+9QZzwFAAARPTQ2JgxY+T111+X/Pnzy5w5cwIOlQEAAERkENK5QNmyZTO9QToMppdAFixYEMz6AQAAhD8ItW/f/obL5wEAACIyCM2cOTO0NQEAAEhj7CwNAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYyxVBaOLEiVK0aFHJmjWr1KxZUzZu3JjssVOnTpV69erJXXfdZS4NGza87vEAAACuDULz5s2Tvn37SmxsrGzevFkqV64sTZo0kWPHjgU8fu3atdKmTRtZs2aNbNiwQQoVKiSNGzeWX375Jc3rDgAA0rewB6Hx48dLly5dpFOnTlKuXDmZMmWKxMTEyPTp0wMeP3v2bOnWrZtUqVJFypQpI9OmTZNr167JqlWr0rzuAAAgfYsO54tfvnxZNm3aJAMHDvSWZcyY0Qx3aW9PSpw/f16uXLkiOXPmDHj/pUuXzMXjzJkz5qc+Ri8IH8/nTzu4A+3hHrSFe9AW7hGqNghrEDpx4oQkJCRIvnz5/Mr19q5du1L0HP3795cCBQqY8BTIqFGjZOjQoUnKdWhNe54QfitWrAh3FeCD9nAP2sI9aIvw046PiAtCt2r06NEyd+5cM29IJ1oHor1NOgfJt0dI5xU1aNBAcuXKlYa1RaB0r39cGjVqJJkyZQp3daxHe7gHbeEetIV7nDx5MvKCUO7cuSUqKkqOHj3qV6638+fPf93Hjh071gShlStXSqVKlZI9LkuWLOaSmP5C80vtDrSFu9Ae7kFbuAdtEX6h+vzDOlk6c+bMUq1aNb+Jzp6Jz7Vq1Ur2cWPGjJHhw4dLXFycVK9ePY1qCwAAIk3Yh8Z02KpDhw4m0NSoUUMmTJgg586dM6vIVPv27aVgwYJmro96/fXXZciQIfLRRx+ZvYeOHDliyrNnz24uAAAA6SYItW7dWo4fP27CjYYaXRavPT2eCdTx8fFmJZnH5MmTzWqzxx57zO95dB+iV199Nc3rDwAA0q+wByHVo0cPcwlEJ0L7OnjwYBrVCgAARLqwb6gIAAAQLgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANZyRRCaOHGiFC1aVLJmzSo1a9aUjRs3Xvf4+fPnS5kyZczxFStWlKVLl6ZZXQEAQOQIexCaN2+e9O3bV2JjY2Xz5s1SuXJladKkiRw7dizg8evXr5c2bdpI586dZcuWLdKqVStz2bZtW5rXHQAApG9hD0Ljx4+XLl26SKdOnaRcuXIyZcoUiYmJkenTpwc8/q233pKHHnpIXnrpJSlbtqwMHz5cqlatKu+++26a1x0AAKRvYQ1Cly9flk2bNknDhg3/W6GMGc3tDRs2BHyMlvser7QHKbnjAQAAkhMtYXTixAlJSEiQfPny+ZXr7V27dgV8zJEjRwIer+WBXLp0yVw8Tp8+bX7+9ttvQXgHuBVXrlyR8+fPy8mTJyVTpkzhro71aA/3oC3cg7ZwD8/3tuM4kROE0sKoUaNk6NChScpLlSoVlvoAAICbp6E0R44cEhFBKHfu3BIVFSVHjx71K9fb+fPnD/gYLU/N8QMHDjSTsT1+//13KVKkiMTHxwf1g0TqnTlzRgoVKiQ//fST3HHHHeGujvVoD/egLdyDtnAPHdEpXLiw5MyZM6jPG9YglDlzZqlWrZqsWrXKrPxS165dM7d79OgR8DG1atUy9/fu3dtbtmLFClMeSJYsWcwlMQ1B/FK7g7YDbeEetId70BbuQVu4h84ljqihMe2t6dChg1SvXl1q1KghEyZMkHPnzplVZKp9+/ZSsGBBM8SlevXqJfXr15dx48ZJs2bNZO7cufLtt9/K+++/H+Z3AgAA0puwB6HWrVvL8ePHZciQIWbCc5UqVSQuLs47IVqHsHzTX+3ateWjjz6SwYMHy8svvyz33nuvLFq0SCpUqBDGdwEAANKjsAchpcNgyQ2FrV27NknZ448/bi43Q4fJdPPGQMNlSFu0hbvQHu5BW7gHbRH5bZHBCfY6NAAAgHQi7DtLAwAAhAtBCAAAWIsgBAAArEUQAgAA1orIIDRx4kQpWrSoZM2aVWrWrCkbN2687vHz58+XMmXKmOMrVqwoS5cuTbO6RrrUtMXUqVOlXr16ctddd5mLnlz3Rm2H0P6/4aH7dWXIkMG78SnSvi10V/zu3bvL3XffbVbN6GmC+FsVnrbQ/e5Kly4t2bJlM7tO9+nTRy5evJhm9Y1U69atk+bNm0uBAgXM3xvdGudGdGV51apVzf8TJUuWlJkzZ6b+hZ0IM3fuXCdz5szO9OnTne3btztdunRx7rzzTufo0aMBj//666+dqKgoZ8yYMc6OHTucwYMHO5kyZXJ++OGHNK+77W3Rtm1bZ+LEic6WLVucnTt3Oh07dnRy5Mjh/Pzzz2le90iU2vbwOHDggFOwYEGnXr16TsuWLdOsvpEstW1x6dIlp3r16k7Tpk2dr776yrTJ2rVrna1bt6Z53W1vi9mzZztZsmQxP7Udli1b5tx9991Onz590rzukWbp0qXOoEGDnAULFuhqdmfhwoXXPX7//v1OTEyM07dvX/P9/c4775jv87i4uFS9bsQFoRo1ajjdu3f33k5ISHAKFCjgjBo1KuDxTzzxhNOsWTO/spo1azrPPvtsyOsa6VLbFoldvXrVuf32251Zs2aFsJb2uJn20DaoXbu2M23aNKdDhw4EoTC1xeTJk53ixYs7ly9fTsNa2iG1baHH/uUvf/Er0y/iOnXqhLyuNpEUBKF+/fo55cuX9ytr3bq106RJk1S9VkQNjV2+fFk2bdpkhlQ8dFdqvb1hw4aAj9Fy3+NVkyZNkj0eoWuLxM6fPy9XrlwJ+gn2bHSz7TFs2DDJmzevdO7cOY1qGvlupi0+++wzcz5FHRrTXfd1J/2RI0dKQkJCGtY88txMW+jZDfQxnuGz/fv3myHKpk2bplm9Edzvb1fsLB0sJ06cMH8YPKfn8NDbu3btCvgYPa1HoOO1HGnbFon179/fjBUn/kVH2rTHV199JR988IFs3bo1jWpph5tpC/2yXb16tbRr18586e7du1e6detm/qGgO+0i7dqibdu25nF169bVERW5evWqPPfcc+aUT0hbyX1/nzlzRi5cuGDmcKVERPUIIXKMHj3aTNBduHChmcCItHX27Fl5+umnzQT23Llzh7s61rt27ZrpmdOTS1erVs2co3HQoEEyZcqUcFfNOjo5V3vjJk2aJJs3b5YFCxbIkiVLZPjw4eGuGm5SRPUI6R/sqKgoOXr0qF+53s6fP3/Ax2h5ao5H6NrCY+zYsSYIrVy5UipVqhTimtohte2xb98+OXjwoFnB4ftlrKKjo2X37t1SokSJNKh55LmZ/zd0pVimTJnM4zzKli1r/kWswzuZM2cOeb0j0c20xSuvvGL+kfDMM8+Y27rS+Ny5c9K1a1cTTn1PEo7QSu77+4477khxb5CKqBbTPwb6r6VVq1b5/fHW2zq+HoiW+x6vVqxYkezxCF1bqDFjxph/WcXFxUn16tXTqLaRL7XtodtJ/PDDD2ZYzHNp0aKFNGjQwFzXJcNIu/836tSpY4bDPGFU7dmzxwQkQlDatoXOXUwcdjwBlVN3pq2gfX87EbgUUpc2zpw50yyn69q1q1kKeeTIEXP/008/7QwYMMBv+Xx0dLQzduxYs2Q7NjaW5fNhaovRo0ebZayffPKJc/jwYe/l7NmzYXwX9rZHYqwaC19bxMfHmxWUPXr0cHbv3u0sXrzYyZs3r/Paa6+F8V3Y2Rb6HaFtMWfOHLN8e/ny5U6JEiXMCmTcGv1br9un6EXjyfjx4831Q4cOmfu1HbQ9Ei+ff+mll8z3t26/wvL5/0/3EihcuLD5UtWlkd988433vvr165s/6L4+/vhjp1SpUuZ4XYq3ZMmSMNQ6MqWmLYoUKWJ++RNf9A8PwvP/hi+CUHjbYv369WZrD/3S1qX0I0aMMNsbIG3b4sqVK86rr75qwk/WrFmdQoUKOd26dXNOnToVptpHjjVr1gT8DvB8/vpT2yPxY6pUqWLaTv+/mDFjRqpfN4P+J7idVQAAAOlDRM0RAgAASA2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCABAiel4qPQdVsOh5xYoWLSrffvtt0J4TsB1BCIhwGTJkuO7l1VdflUijYWHChAlhrYOeEPWtt94yJ+L00JNzPvnkk+YcYW3atDHnrUr8mOeff16KFy8uWbJkMed00xPfes6npOfGevHFF6V///5p/n6ASEUQAiLc4cOHvRcNB3pmZt8y/WJND3QT/KtXr6bpa2oPzM2aNm2a1K5dW4oUKeIt088/e/bssnz5cnN2bN+wdvDgQXMC0NWrV8sbb7xhTnqrJx/WE912797de1y7du3kq6++ku3bt9/COwPgQRACIlz+/Pm9lxw5cpheIN+yuXPnStmyZSVr1qzmrPOTJk3y+3LW4z/++GOpV6+e+fL+05/+ZM58/p///EeqV69uvtgffvhhOX78uPdxHTt2lFatWsnQoUMlT548Jnw999xzfsFCz/I9atQoKVasmHneypUryyeffOK9f+3atea1P//8cxMQtIdEA8C+ffukZcuWki9fPvPaWp+VK1d6H/fAAw/IoUOHpE+fPt5eL6U9X1WqVPH7bDSIaO9R4nqPGDFCChQoIKVLlzblP/30kzzxxBNy5513Ss6cOc3r62dzPfq5am+Or1OnTkmpUqWkYsWK5rP+/fffvfd169bN1HXjxo3y6KOPmuPKly8vffv2lW+++cZ73F133WXORq/PD+DWEYQAi82ePVuGDBlivvh37twpI0eONPNaZs2a5XdcbGysDB48WDZv3izR0dHStm1b6devnxn6+fLLL2Xv3r3meXzpcI4+pwaaOXPmyIIFC0ww8tAQ9OGHH8qUKVNM74YGl6eeekq++OILv+cZMGCAjB492jxXpUqV5I8//pCmTZua59+yZYs89NBDJnDEx8eb4/V17rnnHhk2bJi31ys19Hl3794tK1askMWLF8uVK1ekSZMmcvvtt5v3+vXXX5sApq+bXI/Rb7/9Jjt27DBB0VePHj3kvffek0yZMsmMGTOkV69e3uO190d7fm677bYkz6cBzFeNGjVMXQAEQbDOGgvA/fTMzDly5PDe1jNof/TRR37HDB8+3KlVq5a5fuDAAXP252nTpnnvnzNnjilbtWqVt2zUqFFO6dKlvbf1LNE5c+Z0zp075y2bPHmykz17dichIcG5ePGiExMTY86o7qtz585OmzZt/M5EvWjRohu+r/Lly5sziHsUKVLEefPNN/2OiY2NdSpXruxXpsfosb71zpcvn3Pp0iVv2d///nfz3q5du+Yt0/uzZcvmLFu2LGB9tmzZYuoeHx+f5D59/4cPH/Z7vn//+9/m+AULFjgp8dZbbzlFixZN0bEAri86GGEKQPqjE3d1mKlz587SpUsXb7nOw9EhNF/aE+OhQ1JKh3d8y44dO+b3GB3qiomJ8d6uVauW6c3RYSb9qROFGzVq5PcY7WG57777/MoS96roY3WYa8mSJaa3R+t74cIFb4/QrdL3pZOSPb777jvT46U9Qr4uXrxoPr9AtD5KhxsTy5gxoxmSTDz/KTV0KDHxRGsAN4cgBFhKA4WaOnWq1KxZ0+++qKgov9s6lOPhmXOTuEzn/KT2tTXMFCxY0O8+nQvkK/FQkU7u1mGrsWPHSsmSJU0oeOyxx244sVkDSOLAocNeiSV+Pa2rzlHSYcTEdP5TILlz5/bOCUruGF/33nuv+Qx37dolKaFDaSl5XgA3RhACLKW9ODoheP/+/WYlUrBpT4r2jGhQUTrhV+fW6JJwnXCsgUd7cerXr5+q59U5Ojqp+X/+53+8QSXxxGXt0UlISPAr0+Cgy9M1DHnC3NatW2/4elWrVpV58+ZJ3rx5zaTvlChRooQ5VucJ6aTnG9HPQ+chTZw4UXr27JkkjOmkat95Qtu2bUvScwbg5jBZGrCYTl7WSctvv/22WQmmS7Z1Eu/48eNv+bm1h0aH3TQMLF261Ey41snC2jOjw0zas6MTpHVitg4x6UTsd955J8lE7UC9JzohWkOMhi2duJ24N0pXgq1bt05++eUXOXHihHc1ma5sGzNmjHk9DR26Iu1GNCRqD4+uFNMJygcOHDATwDWw/PzzzwEfo++xYcOGZpVbSml9NLzpROhPP/1UfvzxRzNBXNtGhxV9aT0aN26c4ucGkDyCEGCxZ555xux3o+FH58Zo78zMmTPNkvZb9eCDD5rQ8uc//1lat24tLVq08Nu8cfjw4WaFmgYxXb6vq7B0qOxGr60hTZeQ6x49ulpMe1K018aXrhjTXiLtmfEMIelr6NYAGjh0/pIuU0/JHko6z0lDVeHCheWRRx4xz6MBT+cIXa+HSD9bXeKe0iFD3URRw6DuG/TCCy9IhQoVzBwqXcU2efJk73EbNmyQ06dPm+FAALcug86YDsLzAICXDl3pcM6iRYvEVvqnVedeaa+X7iIdLBoqNci9/PLLQXtOwGb0CAFACOg8pPfffz+ou2HrcKP23Gm4AhAc9AgBCDp6hACkFwQhAABgLYbGAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIDY6v8BU+v7R6lTcCQAAAAASUVORK5CYII=", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 👉 # TODO: call plt.show() so the plot appears\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + " " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + " " + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "DsAi", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.2/Assignment_02_Python_Packages__Nexus__RezaShokrzad.ipynb b/a0.1/a0.2/Assignment_02_Python_Packages__Nexus__RezaShokrzad.ipynb new file mode 100644 index 0000000..76eac35 --- /dev/null +++ b/a0.1/a0.2/Assignment_02_Python_Packages__Nexus__RezaShokrzad.ipynb @@ -0,0 +1,354 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [], + "include_colab_link": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 2 — NumPy, pandas & Matplotlib Essentials\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "\n", + "------------------------------------------------\n", + "\n", + "\n", + "Welcome to your first data-science sprint! In this three-part mini-project you’ll touch the libraries every ML practitioner leans on daily:\n", + "\n", + "1. NumPy — fast n-dimensional arrays\n", + "\n", + "2. pandas — tabular data wrangling\n", + "\n", + "3. Matplotlib — quick, customizable plots\n", + "\n", + "Each part starts with “Quick-start notes”, then gives you two bite-sized tasks. Replace every # TODO with working Python in a notebook or script, run it, and check your results. Happy hacking! 😊\n" + ], + "metadata": { + "id": "ZS5lje_18xC2" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1 · NumPy 🧮\n", + "Quick-start notes\n", + "Core object: ndarray (n-dimensional array)\n", + "\n", + "Create data: np.array, np.arange, np.random.*\n", + "\n", + "Summaries: mean, std, sum, max, …\n", + "\n", + "Vectorised math beats Python loops for speed\n", + "\n" + ], + "metadata": { + "id": "u5vvtK-6840I" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Mock temperatures\n", + "\n" + ], + "metadata": { + "id": "UyNHtkGm9OgH" + } + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "lmaiboJe8E15", + "outputId": "62afc8cc-40e7-4872-b1cb-5d61afe24a99", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[11.283876 17.45719787 8.86611635 15.04464975 24.49405934 15.46645705\n", + " 14.63950513 10.08440668 23.35891272 24.91308617]\n" + ] + } + ], + "source": [ + "# 👉 # TODO: import numpy and create an array of 365\n", + "# normally-distributed °C values (µ=20, σ=5) called temps\n", + "import numpy as np\n", + "\n", + "temps = np.random.normal(loc=20, scale=5, size=365)\n", + "\n", + "print(temps[:10])" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Average temperature\n" + ], + "metadata": { + "id": "BtsB8QKM9Xs_" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: print the mean of temps\n", + "print(f\"میانگین دما: {np.mean(temps):.2f} °C\")" + ], + "metadata": { + "id": "DSR8aS-F9Z10", + "outputId": "f08344ed-9a4a-4113-c01c-0bfeedbed149", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 6, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "میانگین دما: 19.63 °C\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2 · pandas 📊\n", + "Quick-start notes\n", + "Main structures: DataFrame, Series\n", + "\n", + "Read data: pd.read_csv, pd.read_excel, …\n", + "\n", + "Selection: .loc[label], .iloc[pos]\n", + "\n", + "Group & summarise: .groupby(...).agg(...)\n", + "\n" + ], + "metadata": { + "id": "8JjHX4wy9dPz" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 3 — Load ride log\n" + ], + "metadata": { + "id": "wRyJyhbt9uUr" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: read \"rides.csv\" into df\n", + "# (columns: date,temp,rides,weekday)\n", + "import pandas as pd\n", + "df = pd.read_csv(\"/content/sample_data/california_housing_test.csv\")\n", + "print(df.head())" + ], + "metadata": { + "id": "1J4jcLct9yVO", + "outputId": "5424b521-b6b0-4c1c-8f17-dcc2fa887b5d", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 9, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + " longitude latitude housing_median_age total_rooms total_bedrooms \\\n", + "0 -122.05 37.37 27.0 3885.0 661.0 \n", + "1 -118.30 34.26 43.0 1510.0 310.0 \n", + "2 -117.81 33.78 27.0 3589.0 507.0 \n", + "3 -118.36 33.82 28.0 67.0 15.0 \n", + "4 -119.67 36.33 19.0 1241.0 244.0 \n", + "\n", + " population households median_income median_house_value \n", + "0 1537.0 606.0 6.6085 344700.0 \n", + "1 809.0 277.0 3.5990 176500.0 \n", + "2 1484.0 495.0 5.7934 270500.0 \n", + "3 49.0 11.0 6.1359 330000.0 \n", + "4 850.0 237.0 2.9375 81700.0 \n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 4 — Weekday averages" + ], + "metadata": { + "id": "byKd8SFK9w2y" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: compute and print mean rides per weekday\n", + "\n", + "mean_rides_by_day = df.groupby(\"weekday\")[\"rides \"].mean()\n", + "print(mean_rides_by_day.round(2))" + ], + "metadata": { + "id": "4rLrxkPj90p3", + "outputId": "c513bae2-0beb-400f-ffcc-5f5d53535a74", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 358 + } + }, + "execution_count": 11, + "outputs": [ + { + "output_type": "error", + "ename": "KeyError", + "evalue": "'df'", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mKeyError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/tmp/ipython-input-1550790487.py\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;31m# 👉 # TODO: compute and print mean rides per weekday\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0mdf\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpd\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mread_csv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"/content/sample_data/california_housing_test.csv\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mmean_rides_by_day\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mdf\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgroupby\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"df\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m\"latitude \"\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmean\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmean_rides_by_day\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mround\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/usr/local/lib/python3.12/dist-packages/pandas/core/frame.py\u001b[0m in \u001b[0;36mgroupby\u001b[0;34m(self, by, axis, level, as_index, sort, group_keys, observed, dropna)\u001b[0m\n\u001b[1;32m 9181\u001b[0m \u001b[0;32mraise\u001b[0m \u001b[0mTypeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"You have to supply one of 'by' and 'level'\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 9182\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 9183\u001b[0;31m return DataFrameGroupBy(\n\u001b[0m\u001b[1;32m 9184\u001b[0m \u001b[0mobj\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 9185\u001b[0m \u001b[0mkeys\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mby\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/usr/local/lib/python3.12/dist-packages/pandas/core/groupby/groupby.py\u001b[0m in \u001b[0;36m__init__\u001b[0;34m(self, obj, keys, axis, level, grouper, exclusions, selection, as_index, sort, group_keys, observed, dropna)\u001b[0m\n\u001b[1;32m 1327\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1328\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mgrouper\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1329\u001b[0;31m grouper, exclusions, obj = get_grouper(\n\u001b[0m\u001b[1;32m 1330\u001b[0m \u001b[0mobj\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1331\u001b[0m \u001b[0mkeys\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/usr/local/lib/python3.12/dist-packages/pandas/core/groupby/grouper.py\u001b[0m in \u001b[0;36mget_grouper\u001b[0;34m(obj, key, axis, level, sort, observed, validate, dropna)\u001b[0m\n\u001b[1;32m 1041\u001b[0m \u001b[0min_axis\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlevel\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgpr\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;32mFalse\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgpr\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1042\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1043\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mKeyError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgpr\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1044\u001b[0m \u001b[0;32melif\u001b[0m \u001b[0misinstance\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgpr\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mGrouper\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0mgpr\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mkey\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1045\u001b[0m \u001b[0;31m# Add key to exclusions\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mKeyError\u001b[0m: 'df'" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 3 · Matplotlib 📈\n", + "Quick-start notes\n", + "Workhorse: pyplot interface (import matplotlib.pyplot as plt)\n", + "\n", + "Figure & axes: fig, ax = plt.subplots()\n", + "\n", + "Common plots: plot, scatter, hist, imshow\n", + "\n", + "Display inline in Jupyter with %matplotlib inline or %matplotlib notebook" + ], + "metadata": { + "id": "gbGMbtLf94M4" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 5 — Scatter plot" + ], + "metadata": { + "id": "QOsToPh2-AnZ" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: scatter-plot temperature (x) vs rides (y) from df\n", + "import matplotlib.pyplot as plt\n", + "plt.scatter(df[\"temp\"], df[\"rides\"], alpha=0.6)\n", + "plt.xlabel(\"Temperature (°C)\")\n", + "plt.ylabel(\"Number of Rides\")\n", + "plt.title(\"Temperature vs. Number of Rides\")\n", + "plt.show()" + ], + "metadata": { + "id": "_pCU2mIH-DAi" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 6 — Show the figure\n", + "\n" + ], + "metadata": { + "id": "TBGXIzVV-E5u" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: call plt.show() so the plot appears\n", + "import matplotlib.pyplot as plt\n", + "plt.scatter(df[\"temp\"], df[\"rides\"], alpha=0.6)\n", + "plt.xlabel(\"Temperature (°C)\")\n", + "plt.ylabel(\"Number of Rides\")\n", + "plt.title(\"Temperature vs. Number of Rides\")\n", + "plt.show()" + ], + "metadata": { + "id": "ycvsNyqh-GRM", + "outputId": "a0d6069f-0323-4d73-be7d-b222d7929f8a", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 581 + } + }, + "execution_count": 12, + "outputs": [ + { + "output_type": "error", + "ename": "KeyError", + "evalue": "'temp'", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mKeyError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/usr/local/lib/python3.12/dist-packages/pandas/core/indexes/base.py\u001b[0m in \u001b[0;36mget_loc\u001b[0;34m(self, key)\u001b[0m\n\u001b[1;32m 3804\u001b[0m \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 3805\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_engine\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_loc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcasted_key\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3806\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mKeyError\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0merr\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32mindex.pyx\u001b[0m in \u001b[0;36mpandas._libs.index.IndexEngine.get_loc\u001b[0;34m()\u001b[0m\n", + "\u001b[0;32mindex.pyx\u001b[0m in \u001b[0;36mpandas._libs.index.IndexEngine.get_loc\u001b[0;34m()\u001b[0m\n", + "\u001b[0;32mpandas/_libs/hashtable_class_helper.pxi\u001b[0m in \u001b[0;36mpandas._libs.hashtable.PyObjectHashTable.get_item\u001b[0;34m()\u001b[0m\n", + "\u001b[0;32mpandas/_libs/hashtable_class_helper.pxi\u001b[0m in \u001b[0;36mpandas._libs.hashtable.PyObjectHashTable.get_item\u001b[0;34m()\u001b[0m\n", + "\u001b[0;31mKeyError\u001b[0m: 'temp'", + "\nThe above exception was the direct cause of the following exception:\n", + "\u001b[0;31mKeyError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/tmp/ipython-input-2342981012.py\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;31m# 👉 # TODO: call plt.show() so the plot appears\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mmatplotlib\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpyplot\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mscatter\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdf\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m\"temp\"\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdf\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m\"rides\"\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0malpha\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0.6\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mxlabel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Temperature (°C)\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mylabel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Number of Rides\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/usr/local/lib/python3.12/dist-packages/pandas/core/frame.py\u001b[0m in \u001b[0;36m__getitem__\u001b[0;34m(self, key)\u001b[0m\n\u001b[1;32m 4100\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcolumns\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnlevels\u001b[0m \u001b[0;34m>\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4101\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_getitem_multilevel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mkey\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 4102\u001b[0;31m \u001b[0mindexer\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcolumns\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_loc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mkey\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4103\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mis_integer\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mindexer\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4104\u001b[0m \u001b[0mindexer\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0mindexer\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/usr/local/lib/python3.12/dist-packages/pandas/core/indexes/base.py\u001b[0m in \u001b[0;36mget_loc\u001b[0;34m(self, key)\u001b[0m\n\u001b[1;32m 3810\u001b[0m ):\n\u001b[1;32m 3811\u001b[0m \u001b[0;32mraise\u001b[0m \u001b[0mInvalidIndexError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mkey\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 3812\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mKeyError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mkey\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0merr\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3813\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mTypeError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3814\u001b[0m \u001b[0;31m# If we have a listlike key, _check_indexing_error will raise\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mKeyError\u001b[0m: 'temp'" + ] + } + ] + } + ] +} diff --git "a/a0.1/a0.2/Copy of AI\342\200\223DS Nexus _ 0.2.Python_Packages.ipynb" "b/a0.1/a0.2/Copy of AI\342\200\223DS Nexus _ 0.2.Python_Packages.ipynb" new file mode 100644 index 0000000..f264dab --- /dev/null +++ "b/a0.1/a0.2/Copy of AI\342\200\223DS Nexus _ 0.2.Python_Packages.ipynb" @@ -0,0 +1 @@ +{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[{"file_id":"1MPwtoqgJ2asfeqJavHYCGVElqQIT8eUX","timestamp":1748889272179}]},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"markdown","metadata":{"id":"phP2vS12A3Vp"},"source":["You can read a lot more about Python classes [in the documentation](https://docs.python.org/3.7/tutorial/classes.html).\n","\n","# 1. Numpy\n","\n","Numpy is the core library for scientific computing in Python. It provides a high-performance multidimensional array object, and tools for working with these arrays.\n","\n","##Arrays\n","\n","A numpy array is a grid of values, all of the same type, and is indexed by a tuple of nonnegative integers. The number of dimensions is the *rank* of the array; the *shape* of an array is a tuple of integers giving the size of the array along each dimension.\n","\n","We can initialize numpy arrays from nested Python lists, and access elements using square brackets:"]},{"cell_type":"code","metadata":{"id":"95iZ78oIBo3U","colab":{"base_uri":"https://localhost:8080/","height":118},"executionInfo":{"elapsed":643,"status":"ok","timestamp":1538202713296,"user":{"displayName":"Deep Learning","photoUrl":"","userId":"10480134507639682450"},"user_tz":-180},"outputId":"475381ad-0b51-4c5c-aea8-95282bb5a609"},"source":["import numpy as np\n","\n","a = np.array([1, 2, 3]) # Create a rank 1 array\n","print(type(a)) # Prints \"\"\n","print(a.shape) # Prints \"(3,)\"\n","print(a[0], a[1], a[2]) # Prints \"1 2 3\"\n","a[0] = 5 # Change an element of the array\n","print(a) # Prints \"[5, 2, 3]\"\n","\n","b = np.array([[1,2,3],[4,5,6]]) # Create a rank 2 array\n","print(b.shape) # Prints \"(2, 3)\"\n","print(b[0, 0], b[0, 1], b[1, 0]) # Prints \"1 2 4\""],"execution_count":null,"outputs":[{"output_type":"stream","text":["\n","(3,)\n","(1, 2, 3)\n","[5 2 3]\n","(2, 3)\n","(1, 2, 4)\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"4vFfuh7CBuJV"},"source":["Numpy also provides many functions to create arrays:"]},{"cell_type":"code","metadata":{"id":"7V5tqkhIB0g2","colab":{"base_uri":"https://localhost:8080/","height":168},"executionInfo":{"elapsed":635,"status":"ok","timestamp":1538202755155,"user":{"displayName":"Deep Learning","photoUrl":"","userId":"10480134507639682450"},"user_tz":-180},"outputId":"aaecf656-96dc-44b7-ab12-17f0b14af54e"},"source":["import numpy as np\n","\n","a = np.zeros((2,2)) # Create an array of all zeros\n","print(a) # Prints \"[[ 0. 0.]\n"," # [ 0. 0.]]\"\n","\n","b = np.ones((1,2)) # Create an array of all ones\n","print(b) # Prints \"[[ 1. 1.]]\"\n","\n","c = np.full((2,2), 7) # Create a constant array\n","print(c) # Prints \"[[ 7. 7.]\n"," # [ 7. 7.]]\"\n","\n","d = np.eye(2) # Create a 2x2 identity matrix\n","print(d) # Prints \"[[ 1. 0.]\n"," # [ 0. 1.]]\"\n","\n","e = np.random.random((2,2)) # Create an array filled with random values\n","print(e) # Might print \"[[ 0.91940167 0.08143941]\n"," # [ 0.68744134 0.87236687]]\""],"execution_count":null,"outputs":[{"output_type":"stream","text":["[[0. 0.]\n"," [0. 0.]]\n","[[1. 1.]]\n","[[7 7]\n"," [7 7]]\n","[[1. 0.]\n"," [0. 1.]]\n","[[0.6954391 0.83532001]\n"," [0.49623436 0.53147419]]\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"fYy0KgJjB5ev"},"source":["You can read about other methods of array creation [in the documentation](http://docs.scipy.org/doc/numpy/user/basics.creation.html#arrays-creation).\n","\n","##Array indexing\n","\n","Numpy offers several ways to index into arrays.\n","\n","###Slicing\n","\n","Similar to Python lists, numpy arrays can be sliced. Since arrays may be multidimensional, you must specify a slice for each dimension of the array:"]},{"cell_type":"code","metadata":{"id":"mECt4JAYCQ8c","colab":{"base_uri":"https://localhost:8080/","height":50},"executionInfo":{"elapsed":698,"status":"ok","timestamp":1538202878487,"user":{"displayName":"Deep Learning","photoUrl":"","userId":"10480134507639682450"},"user_tz":-180},"outputId":"e4efb1b3-c42a-434d-ed43-12423b40d603"},"source":["import numpy as np\n","\n","# Create the following rank 2 array with shape (3, 4)\n","# [[ 1 2 3 4]\n","# [ 5 6 7 8]\n","# [ 9 10 11 12]]\n","a = np.array([[1,2,3,4], [5,6,7,8], [9,10,11,12]])\n","\n","# Use slicing to pull out the subarray consisting of the first 2 rows\n","# and columns 1 and 2; b is the following array of shape (2, 2):\n","# [[2 3]\n","# [6 7]]\n","b = a[:2, 1:3]\n","\n","# A slice of an array is a view into the same data, so modifying it\n","# will modify the original array.\n","print(a[0, 1]) # Prints \"2\"\n","b[0, 0] = 77 # b[0, 0] is the same piece of data as a[0, 1]\n","print(a[0, 1]) # Prints \"77\""],"execution_count":null,"outputs":[{"output_type":"stream","text":["2\n","77\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"GVy4_GX5CYLD"},"source":["You can also mix integer indexing with slice indexing. However, doing so will yield an array of lower rank than the original array. Note that this is quite different from the way that MATLAB handles array slicing:"]},{"cell_type":"code","metadata":{"id":"YEY_yDDKClZ-","colab":{"base_uri":"https://localhost:8080/","height":118},"executionInfo":{"elapsed":629,"status":"ok","timestamp":1538202953822,"user":{"displayName":"Deep Learning","photoUrl":"","userId":"10480134507639682450"},"user_tz":-180},"outputId":"dfae9773-f154-4144-da80-89b4ad01d5b5"},"source":["import numpy as np\n","\n","# Create the following rank 2 array with shape (3, 4)\n","# [[ 1 2 3 4]\n","# [ 5 6 7 8]\n","# [ 9 10 11 12]]\n","a = np.array([[1,2,3,4], [5,6,7,8], [9,10,11,12]])\n","\n","# Two ways of accessing the data in the middle row of the array.\n","# Mixing integer indexing with slices yields an array of lower rank,\n","# while using only slices yields an array of the same rank as the\n","# original array:\n","row_r1 = a[1, :] # Rank 1 view of the second row of a\n","row_r2 = a[1:2, :] # Rank 2 view of the second row of a\n","print(row_r1, row_r1.shape) # Prints \"[5 6 7 8] (4,)\"\n","print(row_r2, row_r2.shape) # Prints \"[[5 6 7 8]] (1, 4)\"\n","\n","# We can make the same distinction when accessing columns of an array:\n","col_r1 = a[:, 1]\n","col_r2 = a[:, 1:2]\n","print(col_r1, col_r1.shape) # Prints \"[ 2 6 10] (3,)\"\n","print(col_r2, col_r2.shape) # Prints \"[[ 2]\n"," # [ 6]\n"," # [10]] (3, 1)\""],"execution_count":null,"outputs":[{"output_type":"stream","text":["(array([5, 6, 7, 8]), (4,))\n","(array([[5, 6, 7, 8]]), (1, 4))\n","(array([ 2, 6, 10]), (3,))\n","(array([[ 2],\n"," [ 6],\n"," [10]]), (3, 1))\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"h4jnbBVuCtnz"},"source":["###Integer array indexing\n","\n","When you index into numpy arrays using slicing, the resulting array view will always be a subarray of the original array. In contrast, integer array indexing allows you to construct arbitrary arrays using the data from another array. Here is an example:"]},{"cell_type":"code","metadata":{"id":"QEo_GRgzC6m-","colab":{"base_uri":"https://localhost:8080/","height":84},"executionInfo":{"elapsed":649,"status":"ok","timestamp":1538203040202,"user":{"displayName":"Deep Learning","photoUrl":"","userId":"10480134507639682450"},"user_tz":-180},"outputId":"900edad7-8f6a-42ea-9d33-8743868e8d2f"},"source":["import numpy as np\n","\n","a = np.array([[1,2], [3, 4], [5, 6]])\n","\n","# An example of integer array indexing.\n","# The returned array will have shape (3,) and\n","print(a[[0,1], [1,1]]) # Prints \"[1 4 5]\"\n","#primul [0,1,2] - alegi array-ul\n","#al doilea alegi indexul corespunzator array-ului respectiv\n","\n","# The above example of integer array indexing is equivalent to this:\n","print(np.array([a[0, 0], a[1, 1], a[2, 0]])) # Prints \"[1 4 5]\"\n","\n","# When using integer array indexing, you can reuse the same\n","# element from the source array:\n","print(a[[0, 0], [1, 1]]) # Prints \"[2 2]\"\n","\n","# Equivalent to the previous integer array indexing example\n","print(np.array([a[0, 1], a[0, 1]])) # Prints \"[2 2]\""],"execution_count":null,"outputs":[{"output_type":"stream","text":["[2 4]\n","[1 4 5]\n","[2 2]\n","[2 2]\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"FnueaModDAVt"},"source":["One useful trick with integer array indexing is selecting or mutating one element from each row of a matrix:"]},{"cell_type":"code","metadata":{"id":"teKdkq30DFeG","colab":{"base_uri":"https://localhost:8080/","height":168},"executionInfo":{"elapsed":623,"status":"ok","timestamp":1538203084649,"user":{"displayName":"Deep Learning","photoUrl":"","userId":"10480134507639682450"},"user_tz":-180},"outputId":"5bc0b45e-99d1-4ac5-9c31-5c39cbd153d7"},"source":["import numpy as np\n","\n","# Create a new array from which we will select elements\n","a = np.array([[1,2,3], [4,5,6], [7,8,9], [10, 11, 12]])\n","\n","print(a) # prints \"array([[ 1, 2, 3],\n"," # [ 4, 5, 6],\n"," # [ 7, 8, 9],\n"," # [10, 11, 12]])\"\n","\n","# Create an array of indices\n","b = np.array([0 , 2 , 0 , 1])\n","\n","# Select one element from each row of a using the indices in b\n","print(a[np.arange(4), b]) # Prints \"[ 1 6 7 11]\"\n","\n","# Mutate one element from each row of a using the indices in b\n","a[np.arange(4), b] += 10\n","\n","print(a) # prints \"array([[11, 2, 3],\n"," # [ 4, 5, 16],\n"," # [17, 8, 9],\n"," # [10, 21, 12]])"],"execution_count":null,"outputs":[{"output_type":"stream","text":["[[ 1 2 3]\n"," [ 4 5 6]\n"," [ 7 8 9]\n"," [10 11 12]]\n","[ 1 6 7 11]\n","[[11 2 3]\n"," [ 4 5 16]\n"," [17 8 9]\n"," [10 21 12]]\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"9LtmzO68DJgr"},"source":["###Boolean array indexing\n","\n","Boolean array indexing lets you pick out arbitrary elements of an array. Frequently this type of indexing is used to select the elements of an array that satisfy some condition. Here is an example:"]},{"cell_type":"code","metadata":{"id":"1c6neAk_DPR8","colab":{"base_uri":"https://localhost:8080/","height":101},"executionInfo":{"elapsed":632,"status":"ok","timestamp":1538203124173,"user":{"displayName":"Deep Learning","photoUrl":"","userId":"10480134507639682450"},"user_tz":-180},"outputId":"4895a94c-f571-4a32-ce62-c005e78b662e"},"source":["import numpy as np\n","\n","a = np.array([[1,2], [3, 4], [5, 6]])\n","\n","bool_idx = (a > 2) # Find the elements of a that are bigger than 2;\n"," # this returns a numpy array of Booleans of the same\n"," # shape as a, where each slot of bool_idx tells\n"," # whether that element of a is > 2.\n","\n","print(bool_idx) # Prints \"[[False False]\n"," # [ True True]\n"," # [ True True]]\"\n","\n","# We use boolean array indexing to construct a rank 1 array\n","# consisting of the elements of a corresponding to the True values\n","# of bool_idx\n","print(a[bool_idx]) # Prints \"[3 4 5 6]\"\n","\n","# We can do all of the above in a single concise statement:\n","print(a[a > 2]) # Prints \"[3 4 5 6]\""],"execution_count":null,"outputs":[{"output_type":"stream","text":["[[False False]\n"," [ True True]\n"," [ True True]]\n","[3 4 5 6]\n","[3 4 5 6]\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"CySWjuR6DjuW"},"source":["For brevity we have left out a lot of details about numpy array indexing; if you want to know more you should [read the documentation](http://docs.scipy.org/doc/numpy/reference/arrays.indexing.html).\n","\n","##Datatypes\n","\n","Every numpy array is a grid of elements of the same type. Numpy provides a large set of numeric datatypes that you can use to construct arrays. Numpy tries to guess a datatype when you create an array, but functions that construct arrays usually also include an optional argument to explicitly specify the datatype. Here is an example:"]},{"cell_type":"code","metadata":{"id":"ox5QZ5HyEHkO","colab":{"base_uri":"https://localhost:8080/","height":67},"executionInfo":{"elapsed":654,"status":"ok","timestamp":1538203354658,"user":{"displayName":"Deep Learning","photoUrl":"","userId":"10480134507639682450"},"user_tz":-180},"outputId":"d14dc70f-3643-4fb4-bac3-c1b4b0b4cd2f"},"source":["import numpy as np\n","\n","x = np.array([1, 2]) # Let numpy choose the datatype\n","print(x.dtype) # Prints \"int64\"\n","\n","x = np.array([1.0, 2.0]) # Let numpy choose the datatype\n","print(x.dtype) # Prints \"float64\"\n","\n","x = np.array([1, 2], dtype=np.int64) # Force a particular datatype\n","print(x.dtype) # Prints \"int64\""],"execution_count":null,"outputs":[{"output_type":"stream","text":["int64\n","float64\n","int64\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"AvPTXfZeEKk5"},"source":["You can read all about numpy datatypes [in the documentation](http://docs.scipy.org/doc/numpy/reference/arrays.dtypes.html).\n","\n","##Array math\n","\n","Basic mathematical functions operate elementwise on arrays, and are available both as operator overloads and as functions in the numpy module:"]},{"cell_type":"code","metadata":{"id":"VRbBCC-wEiQg","colab":{"base_uri":"https://localhost:8080/","height":319},"executionInfo":{"elapsed":655,"status":"ok","timestamp":1538203464005,"user":{"displayName":"Deep Learning","photoUrl":"","userId":"10480134507639682450"},"user_tz":-180},"outputId":"fb1c0a72-a45d-42c9-be73-b3547e52154c"},"source":["import numpy as np\n","\n","x = np.array([[1,2],[3,4]], dtype=np.float64)\n","y = np.array([[5,6],[7,8]], dtype=np.float64)\n","\n","# Elementwise sum; both produce the array\n","# [[ 6.0 8.0]\n","# [10.0 12.0]]\n","print(x + y)\n","print(np.add(x, y))\n","\n","# Elementwise difference; both produce the array\n","# [[-4.0 -4.0]\n","# [-4.0 -4.0]]\n","print(x - y)\n","print(np.subtract(x, y))\n","\n","# Elementwise product; both produce the array\n","# [[ 5.0 12.0]\n","# [21.0 32.0]]\n","print(x * y)\n","print(np.multiply(x, y))\n","\n","# Elementwise division; both produce the array\n","# [[ 0.2 0.33333333]\n","# [ 0.42857143 0.5 ]]\n","print(x / y)\n","print(np.divide(x, y))\n","\n","# Elementwise square root; produces the array\n","# [[ 1. 1.41421356]\n","# [ 1.73205081 2. ]]\n","print(np.sqrt(x))"],"execution_count":null,"outputs":[{"output_type":"stream","text":["[[ 6. 8.]\n"," [10. 12.]]\n","[[ 6. 8.]\n"," [10. 12.]]\n","[[-4. -4.]\n"," [-4. -4.]]\n","[[-4. -4.]\n"," [-4. -4.]]\n","[[ 5. 12.]\n"," [21. 32.]]\n","[[ 5. 12.]\n"," [21. 32.]]\n","[[0.2 0.33333333]\n"," [0.42857143 0.5 ]]\n","[[0.2 0.33333333]\n"," [0.42857143 0.5 ]]\n","[[1. 1.41421356]\n"," [1.73205081 2. ]]\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"yrTXIl8sEs3f"},"source":["Note that unlike MATLAB, `*` is elementwise multiplication, not matrix multiplication. We instead use the `dot` function to compute inner products of vectors, to multiply a vector by a matrix, and to multiply matrices. `dot` is available both as a function in the numpy module and as an instance method of array objects:"]},{"cell_type":"code","metadata":{"id":"66sNDwkpE8op","colab":{"base_uri":"https://localhost:8080/","height":151},"executionInfo":{"elapsed":642,"status":"ok","timestamp":1538203573746,"user":{"displayName":"Deep Learning","photoUrl":"","userId":"10480134507639682450"},"user_tz":-180},"outputId":"48ccaf83-891e-4687-97ca-85c2349556cb"},"source":["import numpy as np\n","\n","x = np.array([[1,2],[3,4]])\n","y = np.array([[5,6],[7,8]])\n","\n","v = np.array([9,10])\n","w = np.array([11, 12])\n","\n","# Inner product of vectors; both produce 219\n","print(v.dot(w))\n","print(np.dot(v, w))\n","\n","# Matrix / vector product; both produce the rank 1 array [29 67]\n","print(x.dot(v))\n","print(np.dot(x, v))\n","\n","# Matrix / matrix product; both produce the rank 2 array\n","# [[19 22]\n","# [43 50]]\n","print(x.dot(y))\n","print(np.dot(x, y))"],"execution_count":null,"outputs":[{"output_type":"stream","text":["219\n","219\n","[29 67]\n","[29 67]\n","[[19 22]\n"," [43 50]]\n","[[19 22]\n"," [43 50]]\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"m8gZf_6lFAVt"},"source":["Numpy provides many useful functions for performing computations on arrays; one of the most useful is `sum`:"]},{"cell_type":"code","metadata":{"id":"vBen0kKQFJF1","colab":{"base_uri":"https://localhost:8080/","height":67},"executionInfo":{"elapsed":606,"status":"ok","timestamp":1538203623391,"user":{"displayName":"Deep Learning","photoUrl":"","userId":"10480134507639682450"},"user_tz":-180},"outputId":"20b7048b-e44b-4efc-e7d3-5821fd786be2"},"source":["import numpy as np\n","\n","x = np.array([[1,2],[3,4]])\n","\n","print(np.sum(x)) # Compute sum of all elements; prints \"10\"\n","print(np.sum(x, axis=0)) # Compute sum of each column; prints \"[4 6]\"\n","print(np.sum(x, axis=1)) # Compute sum of each row; prints \"[3 7]\""],"execution_count":null,"outputs":[{"output_type":"stream","text":["10\n","[4 6]\n","[3 7]\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"ji1mKJf5Fg1k"},"source":["You can find the full list of mathematical functions provided by numpy [in the documentation](http://docs.scipy.org/doc/numpy/reference/routines.math.html).\n","\n","Apart from computing mathematical functions using arrays, we frequently need to reshape or otherwise manipulate data in arrays. The simplest example of this type of operation is transposing a matrix; to transpose a matrix, simply use the `T` attribute of an array object:"]},{"cell_type":"code","metadata":{"id":"waRKr66yF0RV","colab":{"base_uri":"https://localhost:8080/","height":118},"executionInfo":{"elapsed":739,"status":"ok","timestamp":1538203801751,"user":{"displayName":"Deep Learning","photoUrl":"","userId":"10480134507639682450"},"user_tz":-180},"outputId":"e3c81244-7137-4ee2-b8b8-543704e56e3d"},"source":["import numpy as np\n","\n","x = np.array([[1,2], [3,4]])\n","print(x) # Prints \"[[1 2]\n"," # [3 4]]\"\n","print(x.T) # Prints \"[[1 3]\n"," # [2 4]]\"\n","\n","# Note that taking the transpose of a rank 1 array does nothing:\n","v = np.array([1,2,3])\n","print(v) # Prints \"[1 2 3]\"\n","print(v.T) # Prints \"[1 2 3]\""],"execution_count":null,"outputs":[{"output_type":"stream","text":["[[1 2]\n"," [3 4]]\n","[[1 3]\n"," [2 4]]\n","[1 2 3]\n","[1 2 3]\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"yfBlU2kgF3vE"},"source":["Numpy provides many more functions for manipulating arrays; you can see the full list [in the documentation](http://docs.scipy.org/doc/numpy/reference/routines.array-manipulation.html).\n","\n","##Broadcasting\n","\n","Broadcasting is a powerful mechanism that allows numpy to work with arrays of different shapes when performing arithmetic operations. Frequently we have a smaller array and a larger array, and we want to use the smaller array multiple times to perform some operation on the larger array.\n","\n","For example, suppose that we want to add a constant vector to each row of a matrix. We could do it like this:"]},{"cell_type":"code","metadata":{"id":"fQgMaLdFGV6K","colab":{"base_uri":"https://localhost:8080/","height":84},"executionInfo":{"elapsed":650,"status":"ok","timestamp":1538203938098,"user":{"displayName":"Deep Learning","photoUrl":"","userId":"10480134507639682450"},"user_tz":-180},"outputId":"ec0b7211-4fb2-4175-c5f5-8d9466182151"},"source":["import numpy as np\n","\n","# We will add the vector v to each row of the matrix x,\n","# storing the result in the matrix y\n","x = np.array([[1,2,3], [4,5,6], [7,8,9], [10, 11, 12]])\n","v = np.array([1, 0, 1])\n","y = np.empty_like(x) # Create an empty matrix with the same shape as x\n","\n","# Add the vector v to each row of the matrix x with an explicit loop\n","for i in range(4):\n"," y[i, :] = x[i, :] + v\n","\n","# Now y is the following\n","# [[ 2 2 4]\n","# [ 5 5 7]\n","# [ 8 8 10]\n","# [11 11 13]]\n","print(y)"],"execution_count":null,"outputs":[{"output_type":"stream","text":["[[ 2 2 4]\n"," [ 5 5 7]\n"," [ 8 8 10]\n"," [11 11 13]]\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"nWI9Vb6IGbL1"},"source":["This works; however when the matrix `x` is very large, computing an explicit loop in Python could be slow. Note that adding the vector `v` to each row of the matrix `x` is equivalent to forming a matrix `vv` by stacking multiple copies of `v` vertically, then performing elementwise summation of `x` and `vv`. We could implement this approach like this:"]},{"cell_type":"code","metadata":{"id":"ffVP_lOOGw6e","colab":{"base_uri":"https://localhost:8080/","height":151},"executionInfo":{"elapsed":624,"status":"ok","timestamp":1538204047667,"user":{"displayName":"Deep Learning","photoUrl":"","userId":"10480134507639682450"},"user_tz":-180},"outputId":"92d618e9-4634-456a-fa0c-faf42a264756"},"source":["import numpy as np\n","\n","# We will add the vector v to each row of the matrix x,\n","# storing the result in the matrix y\n","x = np.array([[1,2,3], [4,5,6], [7,8,9], [10, 11, 12]])\n","v = np.array([1, 0, 1])\n","vv = np.tile(v, (4, 1)) # Stack 4 copies of v on top of each other\n","print(vv) # Prints \"[[1 0 1]\n"," # [1 0 1]\n"," # [1 0 1]\n"," # [1 0 1]]\"\n","y = x + vv # Add x and vv elementwise\n","print(y) # Prints \"[[ 2 2 4\n"," # [ 5 5 7]\n"," # [ 8 8 10]\n"," # [11 11 13]]\""],"execution_count":null,"outputs":[{"output_type":"stream","text":["[[1 0 1]\n"," [1 0 1]\n"," [1 0 1]\n"," [1 0 1]]\n","[[ 2 2 4]\n"," [ 5 5 7]\n"," [ 8 8 10]\n"," [11 11 13]]\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"dbR6fU5GGzMz"},"source":["Numpy broadcasting allows us to perform this computation without actually creating multiple copies of `v`. Consider this version, using broadcasting:"]},{"cell_type":"code","metadata":{"id":"vQ3djy02G4r2","colab":{"base_uri":"https://localhost:8080/","height":84},"executionInfo":{"elapsed":717,"status":"ok","timestamp":1538204080531,"user":{"displayName":"Deep Learning","photoUrl":"","userId":"10480134507639682450"},"user_tz":-180},"outputId":"e2c45fa6-39fd-4237-95ba-0d4240438ad9"},"source":["import numpy as np\n","\n","# We will add the vector v to each row of the matrix x,\n","# storing the result in the matrix y\n","x = np.array([[1,2,3], [4,5,6], [7,8,9], [10, 11, 12]])\n","v = np.array([1, 0, 1])\n","y = x + v # Add v to each row of x using broadcasting\n","print(y) # Prints \"[[ 2 2 4]\n"," # [ 5 5 7]\n"," # [ 8 8 10]\n"," # [11 11 13]]\""],"execution_count":null,"outputs":[{"output_type":"stream","text":["[[ 2 2 4]\n"," [ 5 5 7]\n"," [ 8 8 10]\n"," [11 11 13]]\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"6zqsq3xLG9hD"},"source":["The line `y = x + v` works even though `x` has shape `(4, 3)` and `v` has shape `(3,)` due to broadcasting; this line works as if `v` actually had shape `(4, 3)`, where each row was a copy of `v`, and the sum was performed elementwise.\n","\n","Broadcasting two arrays together follows these rules:\n","\n","1. If the arrays do not have the same rank, prepend the shape of the lower rank array with 1s until both shapes have the same length.\n","2. The two arrays are said to be *compatible* in a dimension if they have the same size in the dimension, or if one of the arrays has size 1 in that dimension.\n","3. The arrays can be broadcast together if they are compatible in all dimensions.\n","4. After broadcasting, each array behaves as if it had shape equal to the elementwise maximum of shapes of the two input arrays.\n","5. In any dimension where one array had size 1 and the other array had size greater than 1, the first array behaves as if it were copied along that dimension.\n","\n","For more details, you can read the explanation [from the documentation](http://docs.scipy.org/doc/numpy/user/basics.broadcasting.html).\n","\n","Functions that support broadcasting are known as *universal functions*. You can find the list of all universal functions [in the documentation](http://docs.scipy.org/doc/numpy/reference/ufuncs.html#available-ufuncs).\n","\n","Here are some applications of broadcasting:\n","\n","\n"]},{"cell_type":"code","metadata":{"id":"S-iRQm3JIb4F","colab":{"base_uri":"https://localhost:8080/","height":202},"executionInfo":{"elapsed":649,"status":"ok","timestamp":1538204491611,"user":{"displayName":"Deep Learning","photoUrl":"","userId":"10480134507639682450"},"user_tz":-180},"outputId":"474431eb-f7b7-4342-f341-36cb1d092919"},"source":["import numpy as np\n","\n","# Compute outer product of vectors\n","v = np.array([1,2,3]) # v has shape (3,)\n","w = np.array([4,5]) # w has shape (2,)\n","# To compute an outer product, we first reshape v to be a column\n","# vector of shape (3, 1); we can then broadcast it against w to yield\n","# an output of shape (3, 2), which is the outer product of v and w:\n","# [[ 4 5]\n","# [ 8 10]\n","# [12 15]]\n","print(np.reshape(v, (3, 1)) * w)\n","\n","# Add a vector to each row of a matrix\n","x = np.array([[1,2,3], [4,5,6]])\n","# x has shape (2, 3) and v has shape (3,) so they broadcast to (2, 3),\n","# giving the following matrix:\n","# [[2 4 6]\n","# [5 7 9]]\n","print(x + v)\n","\n","# Add a vector to each column of a matrix\n","# x has shape (2, 3) and w has shape (2,).\n","# If we transpose x then it has shape (3, 2) and can be broadcast\n","# against w to yield a result of shape (3, 2); transposing this result\n","# yields the final result of shape (2, 3) which is the matrix x with\n","# the vector w added to each column. Gives the following matrix:\n","# [[ 5 6 7]\n","# [ 9 10 11]]\n","print((x.T + w).T)\n","# Another solution is to reshape w to be a column vector of shape (2, 1);\n","# we can then broadcast it directly against x to produce the same\n","# output.\n","print(x + np.reshape(w, (2, 1)))\n","\n","# Multiply a matrix by a constant:\n","# x has shape (2, 3). Numpy treats scalars as arrays of shape ();\n","# these can be broadcast together to shape (2, 3), producing the\n","# following array:\n","# [[ 2 4 6]\n","# [ 8 10 12]]\n","print(x * 2)"],"execution_count":null,"outputs":[{"output_type":"stream","text":["[[ 4 5]\n"," [ 8 10]\n"," [12 15]]\n","[[2 4 6]\n"," [5 7 9]]\n","[[ 5 6 7]\n"," [ 9 10 11]]\n","[[ 5 6 7]\n"," [ 9 10 11]]\n","[[ 2 4 6]\n"," [ 8 10 12]]\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"8GYvMrTfIioI"},"source":["Broadcasting typically makes your code more concise and faster, so you should strive to use it where possible.\n","\n","##Numpy Documentation\n","\n","This brief overview has touched on many of the important things that you need to know about numpy, but is far from complete. Check out the [numpy reference](http://docs.scipy.org/doc/numpy/reference/) to find out much more about numpy.\n"]},{"cell_type":"markdown","source":["# 2. Pandas"],"metadata":{"id":"I2vSI1n869dV"}},{"cell_type":"code","execution_count":null,"metadata":{"id":"lIYdn1woOS1n"},"outputs":[],"source":["import pandas as pd\n"]},{"cell_type":"code","source":["#NBA results provided by FiveThirtyEight in a 17MB CSV file.\n","!wget https://raw.githubusercontent.com/fivethirtyeight/data/master/nba-elo/nbaallelo.csv\n"],"metadata":{"id":"7PXWPKpkY-Ha"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["nba = pd.read_csv(\"nbaallelo.csv\")\n","type(nba)"],"metadata":{"id":"Ex-IlzHNamIP"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["type(nba.columns)"],"metadata":{"id":"RmS7WPlhP1tL"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["type(nba.index)"],"metadata":{"id":"Uv11fn5gP3IP"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["nba.iloc[0:31:3, 0:14:2]"],"metadata":{"id":"HcxUgpYDP-Yn"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["my_col = ['_iscopy', 'lg_id', 'is_playoffs']"],"metadata":{"id":"wJLAZrSzQp1f"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["nba.loc[0:8:2, my_col]"],"metadata":{"id":"i7VlHbIsQaBd"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["len(nba)\n","nba.shape\n","nba.head()\n","nba.tail()\n","nba.info()\n","nba.describe()"],"metadata":{"id":"KOKnMIFaanb7"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["pd.set_option(\"display.max.columns\", None)\n","pd.set_option(\"display.precision\", 2)"],"metadata":{"id":"1PfCLSuBa21M"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["nba.describe(include=object)"],"metadata":{"id":"7PxpWGsLbJJq"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["nba.hist(\"pts\", by=\"game_result\")"],"metadata":{"id":"w1gbgFO5gsbu"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["nba[nba[\"fran_id\"]==\"Knicks\"].groupby(\"year_id\")[\"pts\"].sum().plot()"],"metadata":{"id":"mpczWpafOt4C"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["nba[\"fran_id\"].value_counts().head(10).plot(kind=\"bar\")"],"metadata":{"id":"8O3x9176O6E4"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["nba.boxplot(column='pts', by=\"game_result\")"],"metadata":{"id":"CLh1RRsFhXF9"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["nba[\"team_id\"].value_counts()"],"metadata":{"id":"MNDz27EFiBPS"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["nba[\"fran_id\"].value_counts()"],"metadata":{"id":"cCoAZgcJiWjh"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":["It seems that a team named \"Lakers\" played 6024 games, but only 5078 of those were played by the Los Angeles Lakers. Find out who the other \"Lakers\" team is:\n","\n"],"metadata":{"id":"YgH9mFMIinyl"}},{"cell_type":"code","source":["nba.loc[nba[\"fran_id\"] == \"Lakers\", \"team_id\"].value_counts()"],"metadata":{"id":"usmtaXZuim0R"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":["Indeed, the Minneapolis Lakers (\"MNL\") played 946 games. You can even find out when they played those games. For that, you’ll first define a column that converts the value of date_game to the datetime data type. Then you can use the min and max aggregate functions, to find the first and last games of Minneapolis Lakers:\n","\n"],"metadata":{"id":"OEJcB_zcjQfo"}},{"cell_type":"code","source":["nba[\"date_played\"] = pd.to_datetime(nba[\"date_game\"])\n","nba.loc[nba[\"team_id\"] == \"MNL\", \"date_played\"].min()\n","nba.loc[nba['team_id'] == 'MNL', 'date_played'].max()\n","nba.loc[nba[\"team_id\"] == \"MNL\", \"date_played\"].agg((\"min\", \"max\"))"],"metadata":{"id":"zM4OpAoXjSzz"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":["It looks like the Minneapolis Lakers played between the years of 1948 and 1960. That explains why you might not recognize this team!"],"metadata":{"id":"b9cAmZCnjfuJ"}},{"cell_type":"markdown","source":[" Find out how many points the Boston Celtics have scored during all matches contained in this dataset. Expand the code block below for the solution:"],"metadata":{"id":"caqpZ6pVj0KH"}},{"cell_type":"code","source":["nba.loc[nba[\"team_id\"] == \"BOS\", \"pts\"].sum()"],"metadata":{"id":"LVUCbOP3jfQ_"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":["## Querying Your Dataset"],"metadata":{"id":"9xuxqzI5oDXP"}},{"cell_type":"code","source":["# create a new DataFrame that contains only games played after 2010\n","current_decade = nba[nba[\"year_id\"] > 2010]\n","current_decade.shape"],"metadata":{"id":"95tTpM0PoK7I"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["# select the rows where a specific field is not null\n","games_with_notes = nba[nba[\"notes\"].notnull()]\n","games_with_notes.shape"],"metadata":{"id":"TGm0y8AZoQUV"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["#filter your dataset and find all games where the home team’s name ends with \"ers\".\n","ers = nba[nba[\"fran_id\"].str.endswith(\"ers\")]\n","ers.shape"],"metadata":{"id":"B7t3W-SqoUk3"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":["You can combine multiple criteria and query your dataset as well. To do this, be sure to put each one in parentheses and use the logical operators | and & to separate them.\n","\n"],"metadata":{"id":"t9fqCZooo1Og"}},{"cell_type":"code","source":["#Do a search for Baltimore games where both teams scored over 100 points. In order to see each game only once, you’ll need to exclude duplicates\n","nba[(nba[\"_iscopy\"] == 0) &\n"," (nba[\"pts\"] > 100) &\n"," (nba[\"opp_pts\"] > 100) &\n"," (nba[\"team_id\"] == \"BLB\")\n"," ]"],"metadata":{"id":"uIs64CIxoxqo"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["#In the spring of 1992, both teams from Los Angeles had to play a home game at another court. Query your dataset to find those two games. Both teams have an ID starting with \"LA\".\n","nba[(nba[\"_iscopy\"] == 0) &\n"," (nba[\"team_id\"].str.startswith(\"LA\")) &\n"," (nba[\"year_id\"]==1992) &\n"," (nba[\"notes\"].notnull()) ]"],"metadata":{"id":"NgGpgA9tptRs"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":["### Grouping and Aggregating Your Data\n","A Series has more than twenty different methods for calculating descriptive statistics."],"metadata":{"id":"b2OYA8XQqubc"}},{"cell_type":"code","source":["points = nba[\"pts\"]\n","type(points)\n","points.sum()"],"metadata":{"id":"pXSUxtIlqt7i"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["nba.groupby(\"fran_id\", sort=False)[\"pts\"].sum()"],"metadata":{"id":"TnVHc6oWrEEE"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["nba[(nba[\"fran_id\"] == \"Spurs\") &\n"," (nba[\"year_id\"] > 2010)].groupby([\"year_id\", \"game_result\"])[\"game_id\"].count()"],"metadata":{"id":"LomYmqM9rKVq"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":["### Manipulating Columns\n"],"metadata":{"id":"mX8Y8TRhref3"}},{"cell_type":"code","source":["df = nba.copy()\n","df.shape"],"metadata":{"id":"DIgPygR8rgp9"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["df[\"difference\"] = df.pts - df.opp_pts\n","df.shape"],"metadata":{"id":"zuwKnKKurjG9"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["df[\"difference\"].max()"],"metadata":{"id":"BEe1R8SBrllD"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["renamed_df = df.rename(columns={\"game_result\": \"result\", \"game_location\": \"location\"})"],"metadata":{"id":"QiTDpLAKrnwn"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["renamed_df.info()"],"metadata":{"id":"39naVS-irqa2"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["elo_columns = [\"elo_i\", \"elo_n\", \"opp_elo_i\", \"opp_elo_n\"]\n","df.drop(elo_columns, inplace=True, axis=1)"],"metadata":{"id":"qRIbUi7Arwex"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["df[\"date_game\"] = pd.to_datetime(df[\"date_game\"])"],"metadata":{"id":"M0CbYcpTr7aV"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["df[\"game_location\"].nunique()"],"metadata":{"id":"GVKUIUTYr_h7"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["df[\"game_location\"].value_counts()"],"metadata":{"id":"5xbiYpAwsAvs"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["df[\"game_location\"] = pd.Categorical(df[\"game_location\"])"],"metadata":{"id":"lzpl-UQ3sCYK"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["df[\"game_location\"].dtype"],"metadata":{"id":"-tnNMkxtsDoP"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":["### Cleaning Data\n"],"metadata":{"id":"LVa2BWvUsLUR"}},{"cell_type":"code","source":["rows_without_missing_data = nba.dropna()\n","rows_without_missing_data.shape"],"metadata":{"id":"yPA8WjQisN4o"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["data_without_missing_columns = nba.dropna(axis=1)\n","data_without_missing_columns.shape"],"metadata":{"id":"8_nrGPmxsPPR"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["data_with_default_notes = nba.copy()\n","data_with_default_notes[\"notes\"].fillna(value=\"no notes at all\",inplace=True)"],"metadata":{"id":"bGM6A5OqN6FA"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["nba[nba[\"pts\"] == 0]"],"metadata":{"id":"VRf6ibMpOTmo"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":["## Inconsistent Values\n","Sometimes a value would be entirely realistic in and of itself, but it doesn’t fit with the values in the other columns. You can define some query criteria that are mutually exclusive and verify that these don’t occur together."],"metadata":{"id":"jkmixmnPOZMk"}},{"cell_type":"code","source":["nba[(nba[\"pts\"] > nba[\"opp_pts\"]) & (nba[\"game_result\"] != 'W')].empty\n","nba[(nba[\"pts\"] < nba[\"opp_pts\"]) & (nba[\"game_result\"] != 'L')].empty"],"metadata":{"id":"gJsYvaO-OWA9"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"JXpXKWAi6dJg"},"source":["# 3. Matplotlib\n","\n","Matplotlib is a plotting library. In this section give a brief introduction to the `matplotlib.pyplot` module, which provides a plotting system similar to that of MATLAB.\n","\n","##Plotting\n","\n","The most important function in matplotlib is `plot`, which allows you to plot 2D data. Here is a simple example:"]},{"cell_type":"code","metadata":{"id":"KfjqxRT4JP2t","colab":{"base_uri":"https://localhost:8080/","height":347},"executionInfo":{"elapsed":1074,"status":"ok","timestamp":1538204700080,"user":{"displayName":"Deep Learning","photoUrl":"","userId":"10480134507639682450"},"user_tz":-180},"outputId":"41e4bc44-df25-4d59-d371-ed70499e82bc"},"source":["import numpy as np\n","import matplotlib.pyplot as plt\n","\n","# Compute the x and y coordinates for points on a sine curve\n","x = np.arange(0, 3 * np.pi, 0.1)\n","y = np.sin(x)\n","\n","# Plot the points using matplotlib\n","plt.plot(x, y)\n","plt.show() # You must call plt.show() to make graphics appear."],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAe0AAAFKCAYAAAAwrQetAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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3o6KiYsFjfGV+qhftf0s+g2EYFGVqMG1zoqlrhOtwCA/NbQ5Bnx2Ea25daRuNRuTm5s4/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\n","text/plain":[""]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"6LxgDV5XJVRU"},"source":["With just a little bit of extra work we can easily plot multiple lines at once, and add a title, legend, and axis labels:"]},{"cell_type":"code","metadata":{"id":"IVRdhmwQJZhD","colab":{"base_uri":"https://localhost:8080/","height":376},"executionInfo":{"elapsed":876,"status":"ok","timestamp":1538204743060,"user":{"displayName":"Deep Learning","photoUrl":"","userId":"10480134507639682450"},"user_tz":-180},"outputId":"4adfcf15-f29c-40da-8219-36f8eca08858"},"source":["import numpy as np\n","import matplotlib.pyplot as plt\n","\n","# Compute the x and y coordinates for points on sine and cosine curves\n","x = np.arange(0, 3 * np.pi, 0.1)\n","y_sin = np.sin(x)\n","y_cos = np.cos(x)\n","\n","# Plot the points using matplotlib\n","plt.plot(x, y_sin)\n","plt.plot(x, y_cos)\n","plt.xlabel('x axis label')\n","plt.ylabel('y axis label')\n","plt.title('Sine and Cosine')\n","plt.legend(['Sine', 'Cosine'])\n","plt.show()"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAfsAAAFnCAYAAAChL+DqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ne6mXl98/y8DwBGkJYTx6bzYxEYG3vT2bzUb1xR7+eLgR48AYy3J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EXN0Lt+5o+3HGLONs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\nYy9JUuSMvSRJkfsBhVS2RZOUY88AAAAASUVORK5CYII=\n","text/plain":[""]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"UMBFUf92JfYY"},"source":["You can read much more about the `plot` function [in the documentation](http://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.plot).\n","\n","##Subplots\n","\n","You can plot different things in the same figure using the `subplot` function. Here is an example:"]},{"cell_type":"code","metadata":{"id":"ckAH_ANMJ5yn","colab":{"base_uri":"https://localhost:8080/","height":362},"executionInfo":{"elapsed":769,"status":"ok","timestamp":1538204877155,"user":{"displayName":"Deep Learning","photoUrl":"","userId":"10480134507639682450"},"user_tz":-180},"outputId":"8b431f7c-a5a8-4302-8ebd-34fb312bbad5"},"source":["import numpy as np\n","import matplotlib.pyplot as plt\n","\n","# Compute the x and y coordinates for points on sine and cosine curves\n","x = np.arange(0, 3 * np.pi, 0.1)\n","y_sin = np.sin(x)\n","y_cos = np.cos(x)\n","\n","# Set up a subplot grid that has height 2 and width 1,\n","# and set the first such subplot as active.\n","plt.subplot(2, 1, 1)\n","\n","# Make the first plot\n","plt.plot(x, y_sin)\n","plt.title('Sine')\n","\n","# Set the second subplot as active, and make the second plot.\n","plt.subplot(2, 1, 2)\n","plt.plot(x, y_cos)\n","plt.title('Cosine')\n","\n","# Show the figure.\n","plt.show()"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAecAAAFZCAYAAACizedRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMf72thSWNZ1Bl1e5R4GW4mwHR04X8d6GdLy9dDw1vZus96XpDHrulK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1gf68WfX/heDQa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wTwyIYkgf+cfgXOE3DozKc42lFNYxVtrUikoqSEuKpBHJiYR5mZNTOQLaR+S12srLK3hrdWpnC+s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\np2c51A8niR3ILGFD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can read much more about the `subplot` function [in the documentation](http://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.subplot)."]}]} \ No newline at end of file diff --git a/a0.1/a0.2/a0.2 arian shishehgar.ipynb b/a0.1/a0.2/a0.2 arian shishehgar.ipynb new file mode 100644 index 0000000..078f926 --- /dev/null +++ b/a0.1/a0.2/a0.2 arian shishehgar.ipynb @@ -0,0 +1,358 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 2 — NumPy, pandas & Matplotlib Essentials\n", + "Welcome to your first data-science sprint! In this three-part mini-project you’ll touch the libraries every ML practitioner leans on daily:\n", + "\n", + "1. NumPy — fast n-dimensional arrays\n", + "\n", + "2. pandas — tabular data wrangling\n", + "\n", + "3. Matplotlib — quick, customizable plots\n", + "\n", + "Each part starts with “Quick-start notes”, then gives you two bite-sized tasks. Replace every # TODO with working Python in a notebook or script, run it, and check your results. Happy hacking! 😊\n" + ], + "metadata": { + "id": "ZS5lje_18xC2" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1 · NumPy 🧮\n", + "Quick-start notes\n", + "Core object: ndarray (n-dimensional array)\n", + "\n", + "Create data: np.array, np.arange, np.random.*\n", + "\n", + "Summaries: mean, std, sum, max, …\n", + "\n", + "Vectorised math beats Python loops for speed\n", + "\n" + ], + "metadata": { + "id": "u5vvtK-6840I" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Mock temperatures\n", + "\n" + ], + "metadata": { + "id": "UyNHtkGm9OgH" + } + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "lmaiboJe8E15", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "ebeb237d-31ea-4dfc-9736-b9fcbbc564a8" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[18.93701156 27.593445 16.50126771 25.58584533 18.09586218 17.86130721\n", + " 24.24484231 19.43608677 20.54325733 23.57305034 20.17821252 29.72344268\n", + " 21.49429446 18.00804749 19.5554526 17.98774373 20.85846283 23.26169492\n", + " 21.77367586 20.02216274 14.88395453 15.03910706 29.32248716 15.41281635\n", + " 19.73908782 19.96069846 25.83458909 23.58886475 18.96398819 19.14954796\n", + " 16.64948117 24.45894796 23.74319865 16.22423949 21.47387055 14.43955319\n", + " 14.42578208 12.36944239 29.27961914 12.64137225 22.03244179 13.9031956\n", + " 26.48461514 13.38525937 23.52295268 12.76659403 22.23279563 21.93323045\n", + " 18.10013783 21.79434078 25.01527 29.52234858 17.34861545 25.32153311\n", + " 15.108376 18.33128484 22.06157097 17.47822593 25.16105444 17.90933577\n", + " 15.30904003 18.55543531 24.88821301 18.82947249 20.58284782 16.70455433\n", + " 17.78558418 26.09589351 16.84331907 15.75305697 25.29391218 25.00804472\n", + " 19.79297359 21.38265199 14.317754 20.83146757 19.7661868 12.47333875\n", + " 16.39127379 25.81064088 26.69687684 17.74997887 18.45496252 30.0495807\n", + " 20.35815388 17.03350968 19.77891351 13.82511369 35.51029468 18.12645316\n", + " 17.74040435 21.82838477 26.89213895 28.19831907 21.80132509 17.18495182\n", + " 22.79413962 12.47522439 12.01218704 19.4138217 18.01321706 27.44849929\n", + " 24.06152369 20.94362732 23.3035175 27.562204 17.87175511 20.48759733\n", + " 13.83039199 17.7017915 18.85889604 22.385603 27.14432795 22.47869321\n", + " 26.04793806 21.34373979 13.21306998 23.87403122 22.61418995 23.58801159\n", + " 20.03636988 24.09078429 10.0197234 30.41167562 24.40647748 19.13673447\n", + " 19.48547081 18.90961825 20.4950565 19.92956587 9.95528851 20.76964134\n", + " 20.96438352 22.05226817 19.06200336 27.38250158 13.94228952 22.39066444\n", + " 22.1282272 26.99896439 22.52959736 17.32436601 21.84141866 23.23164168\n", + " 14.55081418 33.27608457 21.65939355 22.86631799 27.95947573 18.15050922\n", + " 28.40841426 18.2067661 27.64371194 15.91554508 21.29992919 24.89447009\n", + " 11.58596315 20.99175021 26.65797234 17.08395303 18.66911495 28.44136217\n", + " 13.08646807 17.2233157 9.01158086 16.73528345 17.98046526 16.82849063\n", + " 18.08368158 11.7055601 19.24536528 23.06343219 18.78338339 12.83434314\n", + " 15.40603041 15.72343712 27.28376403 20.55196491 23.19931338 18.86821856\n", + " 18.61591942 21.19870549 19.04954229 21.94469155 19.16520803 20.35687992\n", + " 22.59265069 18.39917765 15.15321106 23.55538273 17.29977415 30.21134284\n", + " 14.9118208 22.16119737 24.32649836 21.48993879 21.63833764 25.94038684\n", + " 20.46632721 26.23670103 18.43434721 17.32473757 23.29052955 20.53833941\n", + " 29.55507073 20.65106472 23.54840478 17.4680475 23.71241165 16.74965659\n", + " 19.7622269 22.07419566 13.71001927 20.42361661 28.43891072 24.35470221\n", + " 17.37600578 11.65834311 12.3965009 31.0586938 16.24721537 11.86547776\n", + " 13.17425029 20.98212897 12.13125162 18.44806731 12.5383058 13.95963607\n", + " 19.88740311 20.74932601 14.32428002 9.5078488 20.0914391 25.10928655\n", + " 24.14382261 19.02308679 19.06099088 23.43991069 29.06067049 26.86412143\n", + " 31.13495174 13.82644438 20.86870795 20.2612615 18.18644455 20.07006998\n", + " 12.93945158 15.37473231 21.78229557 22.44518569 23.48274388 16.44269241\n", + " 20.80315403 20.17290773 22.30006067 15.092774 29.32863273 14.12714529\n", + " 22.96093572 27.48742131 25.40505084 22.53244665 25.78101382 29.45823258\n", + " 13.28205444 14.41870429 18.12559639 29.13953686 25.5390739 20.99094662\n", + " 17.55505793 25.9400643 18.12581945 27.53519123 21.05407491 26.13925538\n", + " 21.14353312 13.51745221 21.29894737 25.13468807 25.82937709 22.07774325\n", + " 25.581339 27.65642773 20.18787659 17.6959316 21.92755376 16.90042231\n", + " 14.22648676 12.86153038 20.41017316 16.35652188 15.33226191 21.38889151\n", + " 16.387 22.78986925 9.22982935 19.67130405 29.17736694 21.46348724\n", + " 15.08277768 23.21315366 20.09896031 12.40469768 19.14334946 19.32396272\n", + " 24.23761767 7.67629927 17.68727484 10.48761068 24.26348519 17.41989919\n", + " 20.09730103 26.59467855 17.21728804 26.27053832 25.42359964 11.61833795\n", + " 20.65632435 20.29989443 23.16521895 22.2976721 21.66442675 25.84235632\n", + " 23.03964546 18.15845222 22.8983363 18.30458687 22.31084199 25.19252833\n", + " 23.51738595 18.66721943 21.75724728 12.38826497 29.61660023 23.82440414\n", + " 22.74502401 20.60352576 26.58755394 11.85469383 14.52520596 14.24122496\n", + " 15.84250857 25.89969475 22.25889362 19.70089644 21.02321358 22.20366894\n", + " 19.13483663 12.9762757 19.2633753 19.19279373 19.00686895 24.43964472\n", + " 9.55178182 20.85865641 23.16366388 20.47262071 14.85375096 19.66292809\n", + " 20.70727397 31.21892099 16.46753387 24.10370792 21.23897797]\n" + ] + } + ], + "source": [ + "# 👉 # TODO: import numpy and create an array of 365\n", + "# normally-distributed °C values (µ=20, σ=5) called temps\n", + "import numpy as np\n", + "temps = np.random.normal(20, 5, 365)\n", + "print (temps)\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Average temperature\n" + ], + "metadata": { + "id": "BtsB8QKM9Xs_" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: print the mean of temps\n", + "\n", + "print (np.mean(temps))\n" + ], + "metadata": { + "id": "DSR8aS-F9Z10", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "bc0350d1-7c94-46f2-b298-ddcd42da9adf" + }, + "execution_count": 2, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "20.379722001289185\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2 · pandas 📊\n", + "Quick-start notes\n", + "Main structures: DataFrame, Series\n", + "\n", + "Read data: pd.read_csv, pd.read_excel, …\n", + "\n", + "Selection: .loc[label], .iloc[pos]\n", + "\n", + "Group & summarise: .groupby(...).agg(...)\n", + "\n" + ], + "metadata": { + "id": "8JjHX4wy9dPz" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 3 — Load ride log\n" + ], + "metadata": { + "id": "wRyJyhbt9uUr" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: read \"rides.csv\" into df\n", + "# (columns: date,temp,rides,weekday)\n", + "\n", + "import pandas as pd\n", + "\n", + "df = pd.read_csv(\"rides.csv\")" + ], + "metadata": { + "id": "1J4jcLct9yVO", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 333 + }, + "outputId": "337374ee-7717-4511-843f-e4d0778d83e2" + }, + "execution_count": 3, + "outputs": [ + { + "output_type": "error", + "ename": "FileNotFoundError", + "evalue": "[Errno 2] No such file or directory: 'rides.csv'", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mFileNotFoundError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/tmp/ipython-input-3-3051610221.py\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mpandas\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mpd\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 6\u001b[0;31m \u001b[0mdf\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpd\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mread_csv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"rides.csv\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;32m/usr/local/lib/python3.11/dist-packages/pandas/io/parsers/readers.py\u001b[0m in \u001b[0;36mread_csv\u001b[0;34m(filepath_or_buffer, sep, delimiter, header, names, index_col, usecols, dtype, engine, converters, true_values, false_values, skipinitialspace, skiprows, skipfooter, nrows, na_values, keep_default_na, na_filter, verbose, skip_blank_lines, parse_dates, infer_datetime_format, keep_date_col, date_parser, date_format, dayfirst, cache_dates, iterator, chunksize, compression, thousands, decimal, lineterminator, quotechar, quoting, doublequote, escapechar, comment, encoding, encoding_errors, dialect, on_bad_lines, delim_whitespace, low_memory, memory_map, float_precision, storage_options, dtype_backend)\u001b[0m\n\u001b[1;32m 1024\u001b[0m \u001b[0mkwds\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mupdate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mkwds_defaults\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1025\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1026\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0m_read\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfilepath_or_buffer\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkwds\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1027\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1028\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/usr/local/lib/python3.11/dist-packages/pandas/io/parsers/readers.py\u001b[0m in \u001b[0;36m_read\u001b[0;34m(filepath_or_buffer, kwds)\u001b[0m\n\u001b[1;32m 618\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 619\u001b[0m \u001b[0;31m# Create the parser.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 620\u001b[0;31m \u001b[0mparser\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mTextFileReader\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfilepath_or_buffer\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwds\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 621\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 622\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mchunksize\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0miterator\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/usr/local/lib/python3.11/dist-packages/pandas/io/parsers/readers.py\u001b[0m in \u001b[0;36m__init__\u001b[0;34m(self, f, engine, **kwds)\u001b[0m\n\u001b[1;32m 1618\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1619\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mhandles\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mIOHandles\u001b[0m \u001b[0;34m|\u001b[0m \u001b[0;32mNone\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1620\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_engine\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_make_engine\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mengine\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1621\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1622\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mclose\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/usr/local/lib/python3.11/dist-packages/pandas/io/parsers/readers.py\u001b[0m in \u001b[0;36m_make_engine\u001b[0;34m(self, f, engine)\u001b[0m\n\u001b[1;32m 1878\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;34m\"b\"\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mmode\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1879\u001b[0m \u001b[0mmode\u001b[0m \u001b[0;34m+=\u001b[0m \u001b[0;34m\"b\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1880\u001b[0;31m self.handles = get_handle(\n\u001b[0m\u001b[1;32m 1881\u001b[0m \u001b[0mf\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1882\u001b[0m \u001b[0mmode\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/usr/local/lib/python3.11/dist-packages/pandas/io/common.py\u001b[0m in \u001b[0;36mget_handle\u001b[0;34m(path_or_buf, mode, encoding, compression, memory_map, is_text, errors, storage_options)\u001b[0m\n\u001b[1;32m 871\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mioargs\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mencoding\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0;34m\"b\"\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mioargs\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmode\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 872\u001b[0m \u001b[0;31m# Encoding\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 873\u001b[0;31m handle = open(\n\u001b[0m\u001b[1;32m 874\u001b[0m \u001b[0mhandle\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 875\u001b[0m \u001b[0mioargs\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmode\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: 'rides.csv'" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 4 — Weekday averages" + ], + "metadata": { + "id": "byKd8SFK9w2y" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: compute and print mean rides per weekday\n", + "\n", + "mean_rides = df.groupby('weekday')['rides'].mean()\n", + "\n", + "\n", + "print(mean_rides)\n" + ], + "metadata": { + "id": "4rLrxkPj90p3" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## 3 · Matplotlib 📈\n", + "Quick-start notes\n", + "Workhorse: pyplot interface (import matplotlib.pyplot as plt)\n", + "\n", + "Figure & axes: fig, ax = plt.subplots()\n", + "\n", + "Common plots: plot, scatter, hist, imshow\n", + "\n", + "Display inline in Jupyter with %matplotlib inline or %matplotlib notebook" + ], + "metadata": { + "id": "gbGMbtLf94M4" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 5 — Scatter plot" + ], + "metadata": { + "id": "QOsToPh2-AnZ" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: scatter-plot temperature (x) vs rides (y) from df\n", + "import matplotlib.pyplot as plt\n", + "\n", + "plt.scatter(df['temp'], df['rides'])\n", + "plt.xlabel('Temperature (°C)')\n", + "plt.ylabel('Number of Rides')\n", + "plt.title('Scatter Plot of Temperature vs Rides')\n" + ], + "metadata": { + "id": "_pCU2mIH-DAi", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 207 + }, + "outputId": "c7ed580c-7805-4012-f119-7ed9aaee9940" + }, + "execution_count": 4, + "outputs": [ + { + "output_type": "error", + "ename": "NameError", + "evalue": "name 'df' is not defined", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/tmp/ipython-input-4-1845369902.py\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mmatplotlib\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpyplot\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mscatter\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdf\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'temp'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdf\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'rides'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mxlabel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'Temperature (°C)'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mylabel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'Number of Rides'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'df' is not defined" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 6 — Show the figure\n", + "\n" + ], + "metadata": { + "id": "TBGXIzVV-E5u" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 # TODO: call plt.show() so the plot appears\n", + "plt.show()\n", + "\n" + ], + "metadata": { + "id": "ycvsNyqh-GRM" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.2/rides.csv b/a0.1/a0.2/rides.csv new file mode 100644 index 0000000..8608570 --- /dev/null +++ b/a0.1/a0.2/rides.csv @@ -0,0 +1,366 @@ +date,temp,rides,weekday +2024-01-01,13.3,141,Monday +2024-01-02,18.4,174,Tuesday +2024-01-03,25.3,256,Wednesday +2024-01-04,19.5,188,Thursday +2024-01-05,25.6,234,Friday +2024-01-06,24.4,253,Saturday +2024-01-07,28.6,297,Sunday +2024-01-08,21.8,183,Monday +2024-01-09,21.0,213,Tuesday +2024-01-10,20.0,162,Wednesday +2024-01-11,19.0,221,Thursday +2024-01-12,20.8,188,Friday +2024-01-13,18.6,193,Saturday +2024-01-14,19.5,178,Sunday +2024-01-15,9.4,76,Monday +2024-01-16,27.8,281,Tuesday +2024-01-17,18.6,185,Wednesday +2024-01-18,31.8,299,Thursday +2024-01-19,23.5,211,Friday +2024-01-20,12.1,93,Saturday +2024-01-21,17.2,158,Sunday +2024-01-22,23.3,238,Monday +2024-01-23,18.2,188,Tuesday +2024-01-24,33.0,301,Wednesday +2024-01-25,15.3,159,Thursday +2024-01-26,22.9,251,Friday +2024-01-27,24.9,226,Saturday +2024-01-28,28.1,263,Sunday +2024-01-29,19.7,172,Monday +2024-01-30,19.0,161,Tuesday +2024-01-31,16.6,178,Wednesday +2024-02-01,25.0,235,Thursday +2024-02-02,21.3,237,Friday +2024-02-03,13.0,133,Saturday +2024-02-04,14.8,134,Sunday +2024-02-05,22.2,244,Monday +2024-02-06,15.8,137,Tuesday +2024-02-07,12.8,158,Wednesday +2024-02-08,28.6,304,Thursday +2024-02-09,15.9,150,Friday +2024-02-10,17.9,196,Saturday +2024-02-11,14.3,163,Sunday +2024-02-12,19.7,201,Monday +2024-02-13,23.7,245,Tuesday +2024-02-14,16.6,151,Wednesday +2024-02-15,17.5,190,Thursday +2024-02-16,12.3,96,Friday +2024-02-17,19.8,203,Saturday +2024-02-18,25.7,262,Sunday +2024-02-19,9.9,91,Monday +2024-02-20,17.0,137,Tuesday +2024-02-21,15.7,175,Wednesday +2024-02-22,16.6,173,Thursday +2024-02-23,15.3,92,Friday +2024-02-24,24.2,239,Saturday +2024-02-25,14.4,152,Sunday +2024-02-26,23.8,239,Monday +2024-02-27,19.1,194,Tuesday +2024-02-28,23.1,209,Wednesday +2024-02-29,26.2,261,Thursday +2024-03-01,30.3,318,Friday +2024-03-02,17.6,187,Saturday +2024-03-03,14.7,147,Sunday +2024-03-04,20.2,210,Monday +2024-03-05,19.3,183,Tuesday +2024-03-06,23.7,203,Wednesday +2024-03-07,13.0,115,Thursday +2024-03-08,19.1,195,Friday +2024-03-09,8.2,88,Saturday +2024-03-10,13.0,151,Sunday +2024-03-11,20.8,225,Monday +2024-03-12,16.5,140,Tuesday +2024-03-13,23.6,216,Wednesday +2024-03-14,22.2,205,Thursday +2024-03-15,12.5,141,Friday +2024-03-16,24.0,250,Saturday +2024-03-17,23.3,267,Sunday +2024-03-18,24.6,234,Monday +2024-03-19,17.9,183,Tuesday +2024-03-20,13.1,116,Wednesday +2024-03-21,32.6,352,Thursday +2024-03-22,18.6,172,Friday +2024-03-23,17.2,191,Saturday +2024-03-24,29.8,280,Sunday +2024-03-25,28.5,257,Monday +2024-03-26,20.8,195,Tuesday +2024-03-27,23.4,197,Wednesday +2024-03-28,12.6,127,Thursday +2024-03-29,19.1,171,Friday +2024-03-30,12.8,123,Saturday +2024-03-31,11.7,117,Sunday +2024-04-01,21.1,197,Monday +2024-04-02,14.2,159,Tuesday +2024-04-03,23.4,219,Wednesday +2024-04-04,27.5,255,Thursday +2024-04-05,23.6,272,Friday +2024-04-06,20.8,233,Saturday +2024-04-07,17.2,198,Sunday +2024-04-08,22.5,232,Monday +2024-04-09,22.3,176,Tuesday +2024-04-10,23.6,259,Wednesday +2024-04-11,16.9,170,Thursday +2024-04-12,14.0,173,Friday +2024-04-13,27.8,241,Saturday +2024-04-14,26.2,254,Sunday +2024-04-15,15.6,170,Monday +2024-04-16,15.2,174,Tuesday +2024-04-17,13.4,131,Wednesday +2024-04-18,9.3,76,Thursday +2024-04-19,28.2,284,Friday +2024-04-20,10.3,127,Saturday +2024-04-21,15.0,111,Sunday +2024-04-22,22.2,217,Monday +2024-04-23,14.6,153,Tuesday +2024-04-24,18.7,171,Wednesday +2024-04-25,15.2,135,Thursday +2024-04-26,14.3,161,Friday +2024-04-27,16.8,175,Saturday +2024-04-28,19.2,197,Sunday +2024-04-29,18.3,179,Monday +2024-04-30,16.5,168,Tuesday +2024-05-01,22.0,241,Wednesday +2024-05-02,20.3,194,Thursday +2024-05-03,12.8,141,Friday +2024-05-04,17.3,146,Saturday +2024-05-05,17.8,204,Sunday +2024-05-06,24.1,256,Monday +2024-05-07,18.5,201,Tuesday +2024-05-08,18.8,207,Wednesday +2024-05-09,19.0,188,Thursday +2024-05-10,23.6,247,Friday +2024-05-11,26.8,261,Saturday +2024-05-12,11.8,133,Sunday +2024-05-13,18.5,208,Monday +2024-05-14,20.0,221,Tuesday +2024-05-15,19.4,188,Wednesday +2024-05-16,25.4,261,Thursday +2024-05-17,15.4,131,Friday +2024-05-18,18.2,190,Saturday +2024-05-19,7.6,90,Sunday +2024-05-20,24.8,240,Monday +2024-05-21,26.2,269,Tuesday +2024-05-22,24.9,242,Wednesday +2024-05-23,24.1,278,Thursday +2024-05-24,28.1,279,Friday +2024-05-25,20.2,169,Saturday +2024-05-26,14.9,121,Sunday +2024-05-27,20.1,187,Monday +2024-05-28,20.8,213,Tuesday +2024-05-29,17.3,191,Wednesday +2024-05-30,29.2,296,Thursday +2024-05-31,10.9,89,Friday +2024-06-01,28.7,329,Saturday +2024-06-02,26.7,257,Sunday +2024-06-03,20.5,221,Monday +2024-06-04,21.9,216,Tuesday +2024-06-05,29.4,304,Wednesday +2024-06-06,23.5,227,Thursday +2024-06-07,13.8,178,Friday +2024-06-08,16.2,147,Saturday +2024-06-09,24.4,241,Sunday +2024-06-10,13.0,95,Monday +2024-06-11,16.9,139,Tuesday +2024-06-12,25.0,282,Wednesday +2024-06-13,18.9,179,Thursday +2024-06-14,18.3,246,Friday +2024-06-15,11.5,118,Saturday +2024-06-16,27.2,289,Sunday +2024-06-17,24.5,238,Monday +2024-06-18,27.3,282,Tuesday +2024-06-19,25.9,244,Wednesday +2024-06-20,16.6,152,Thursday +2024-06-21,18.9,189,Friday +2024-06-22,24.9,293,Saturday +2024-06-23,22.0,202,Sunday +2024-06-24,18.4,184,Monday +2024-06-25,26.3,262,Tuesday +2024-06-26,16.8,184,Wednesday +2024-06-27,15.2,149,Thursday +2024-06-28,15.8,149,Friday +2024-06-29,16.7,192,Saturday +2024-06-30,19.4,186,Sunday +2024-07-01,22.1,207,Monday +2024-07-02,9.1,101,Tuesday +2024-07-03,27.6,260,Wednesday +2024-07-04,31.8,308,Thursday +2024-07-05,23.5,236,Friday +2024-07-06,18.1,221,Saturday +2024-07-07,13.5,138,Sunday +2024-07-08,26.2,263,Monday +2024-07-09,15.1,138,Tuesday +2024-07-10,24.9,253,Wednesday +2024-07-11,17.7,189,Thursday +2024-07-12,20.5,212,Friday +2024-07-13,25.1,259,Saturday +2024-07-14,21.9,236,Sunday +2024-07-15,21.2,210,Monday +2024-07-16,16.2,135,Tuesday +2024-07-17,18.1,139,Wednesday +2024-07-18,27.1,322,Thursday +2024-07-19,19.8,173,Friday +2024-07-20,18.4,186,Saturday +2024-07-21,15.5,153,Sunday +2024-07-22,19.6,162,Monday +2024-07-23,26.3,272,Tuesday +2024-07-24,17.0,201,Wednesday +2024-07-25,10.6,109,Thursday +2024-07-26,12.4,127,Friday +2024-07-27,31.6,329,Saturday +2024-07-28,26.2,271,Sunday +2024-07-29,21.9,207,Monday +2024-07-30,24.4,219,Tuesday +2024-07-31,20.7,236,Wednesday +2024-08-01,19.1,235,Thursday +2024-08-02,20.3,198,Friday +2024-08-03,6.5,74,Saturday +2024-08-04,22.5,193,Sunday +2024-08-05,18.7,214,Monday +2024-08-06,25.2,263,Tuesday +2024-08-07,31.6,320,Wednesday +2024-08-08,19.1,158,Thursday +2024-08-09,21.7,235,Friday +2024-08-10,22.1,217,Saturday +2024-08-11,16.5,175,Sunday +2024-08-12,24.7,224,Monday +2024-08-13,32.0,298,Tuesday +2024-08-14,13.7,140,Wednesday +2024-08-15,14.2,144,Thursday +2024-08-16,18.2,186,Friday +2024-08-17,18.1,175,Saturday +2024-08-18,19.3,191,Sunday +2024-08-19,22.9,223,Monday +2024-08-20,23.5,266,Tuesday +2024-08-21,17.0,177,Wednesday +2024-08-22,22.8,220,Thursday +2024-08-23,17.4,173,Friday +2024-08-24,17.2,163,Saturday +2024-08-25,10.7,103,Sunday +2024-08-26,19.8,208,Monday +2024-08-27,19.5,233,Tuesday +2024-08-28,13.5,114,Wednesday +2024-08-29,22.8,234,Thursday +2024-08-30,24.2,273,Friday +2024-08-31,16.9,126,Saturday +2024-09-01,17.5,171,Sunday +2024-09-02,13.8,142,Monday +2024-09-03,21.4,193,Tuesday +2024-09-04,12.3,141,Wednesday +2024-09-05,24.3,258,Thursday +2024-09-06,19.1,191,Friday +2024-09-07,18.1,187,Saturday +2024-09-08,16.1,157,Sunday +2024-09-09,20.5,168,Monday +2024-09-10,12.2,138,Tuesday +2024-09-11,20.3,214,Wednesday +2024-09-12,18.7,178,Thursday +2024-09-13,28.1,293,Friday +2024-09-14,12.0,124,Saturday +2024-09-15,23.5,215,Sunday +2024-09-16,14.5,159,Monday +2024-09-17,26.9,270,Tuesday +2024-09-18,28.5,283,Wednesday +2024-09-19,11.3,132,Thursday +2024-09-20,27.3,266,Friday +2024-09-21,9.1,93,Saturday +2024-09-22,27.2,277,Sunday +2024-09-23,10.6,126,Monday +2024-09-24,28.9,268,Tuesday +2024-09-25,25.9,234,Wednesday +2024-09-26,14.8,146,Thursday +2024-09-27,26.6,250,Friday +2024-09-28,15.1,147,Saturday +2024-09-29,20.0,243,Sunday +2024-09-30,19.7,208,Monday +2024-10-01,14.8,120,Tuesday +2024-10-02,23.1,215,Wednesday +2024-10-03,24.1,279,Thursday +2024-10-04,21.1,201,Friday +2024-10-05,31.6,305,Saturday +2024-10-06,30.3,314,Sunday +2024-10-07,20.5,221,Monday +2024-10-08,18.4,191,Tuesday +2024-10-09,25.6,219,Wednesday +2024-10-10,15.7,135,Thursday +2024-10-11,14.9,148,Friday +2024-10-12,21.3,204,Saturday +2024-10-13,26.0,264,Sunday +2024-10-14,14.8,126,Monday +2024-10-15,17.0,178,Tuesday +2024-10-16,28.8,265,Wednesday +2024-10-17,17.8,214,Thursday +2024-10-18,14.7,101,Friday +2024-10-19,22.0,177,Saturday +2024-10-20,22.3,218,Sunday +2024-10-21,20.3,221,Monday +2024-10-22,25.5,261,Tuesday +2024-10-23,13.1,144,Wednesday +2024-10-24,22.2,210,Thursday +2024-10-25,15.8,173,Friday +2024-10-26,16.7,164,Saturday +2024-10-27,20.6,182,Sunday +2024-10-28,25.5,230,Monday +2024-10-29,15.7,164,Tuesday +2024-10-30,22.1,225,Wednesday +2024-10-31,26.5,250,Thursday +2024-11-01,13.3,153,Friday +2024-11-02,15.3,124,Saturday +2024-11-03,12.4,106,Sunday +2024-11-04,18.3,152,Monday +2024-11-05,22.0,220,Tuesday +2024-11-06,17.8,173,Wednesday +2024-11-07,17.6,173,Thursday +2024-11-08,18.2,174,Friday +2024-11-09,21.9,194,Saturday +2024-11-10,19.0,191,Sunday +2024-11-11,17.6,163,Monday +2024-11-12,21.6,248,Tuesday +2024-11-13,25.7,243,Wednesday +2024-11-14,17.1,147,Thursday +2024-11-15,24.7,235,Friday +2024-11-16,21.3,196,Saturday +2024-11-17,30.3,321,Sunday +2024-11-18,15.6,149,Monday +2024-11-19,23.3,226,Tuesday +2024-11-20,17.3,187,Wednesday +2024-11-21,14.9,194,Thursday +2024-11-22,24.3,268,Friday +2024-11-23,14.9,156,Saturday +2024-11-24,29.2,294,Sunday +2024-11-25,23.5,233,Monday +2024-11-26,22.6,221,Tuesday +2024-11-27,28.9,318,Wednesday +2024-11-28,25.6,254,Thursday +2024-11-29,21.1,173,Friday +2024-11-30,28.2,257,Saturday +2024-12-01,26.7,255,Sunday +2024-12-02,20.7,230,Monday +2024-12-03,19.7,174,Tuesday +2024-12-04,20.8,219,Wednesday +2024-12-05,19.0,214,Thursday +2024-12-06,20.3,179,Friday +2024-12-07,17.0,160,Saturday +2024-12-08,26.6,258,Sunday +2024-12-09,25.7,268,Monday +2024-12-10,22.3,196,Tuesday +2024-12-11,24.4,236,Wednesday +2024-12-12,21.2,228,Thursday +2024-12-13,19.9,194,Friday +2024-12-14,21.2,192,Saturday +2024-12-15,22.8,210,Sunday +2024-12-16,10.7,119,Monday +2024-12-17,20.5,195,Tuesday +2024-12-18,20.7,229,Wednesday +2024-12-19,27.3,247,Thursday +2024-12-20,11.2,107,Friday +2024-12-21,21.0,225,Saturday +2024-12-22,19.6,159,Sunday +2024-12-23,25.3,251,Monday +2024-12-24,19.8,224,Tuesday +2024-12-25,23.5,195,Wednesday +2024-12-26,20.0,166,Thursday +2024-12-27,24.6,275,Friday +2024-12-28,16.1,171,Saturday +2024-12-29,18.3,216,Sunday +2024-12-30,20.6,213,Monday diff --git a/a0.1/a0.3/AI-DS_Nexus__A0_3_Amirhossein_Zandi_8fca80.ipynb b/a0.1/a0.3/AI-DS_Nexus__A0_3_Amirhossein_Zandi_8fca80.ipynb new file mode 100644 index 0000000..29bd5df --- /dev/null +++ b/a0.1/a0.3/AI-DS_Nexus__A0_3_Amirhossein_Zandi_8fca80.ipynb @@ -0,0 +1,474 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "7wR0aAR-evto" + }, + "source": [ + "# 📚 Assignment 3 — Functions, Derivatives & Gradients\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n", + "\n", + "\n", + "This assignment explores the mathematical foundation of machine learning: functions and their derivatives. You’ll visualize, analyze, and code up essential concepts every ML practitioner uses.\n", + "\n", + "\n", + "**👀🔎 What do you see?**\n", + "\n", + "Look at the snippet codes and:\n", + "\n", + "* Describe any patterns, surprises, or connections you notice.\n", + "\n", + "* Write a few sentences about your observations! 📝✨\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "cCb1hk3xe0E6" + }, + "source": [ + "## 1. Log and Exp: Proving Inverse Relationship\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "KOxJ9f-3eu5F", + "outputId": "31d8ce39-8670-4dc4-9053-6c6aaf10d1ff" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "x\tlog(exp(x))\texp(log(x))\n", + "1.00\t1.00\t\t1.00\n", + "2.00\t2.00\t\t2.00\n", + "10.00\t10.00\t\t10.00\n", + "2.72\t2.72\t\t2.72\n", + "\n", + "log(exp(y)) for 0 and negative values:\n", + "[ 0. -1. 5.]\n" + ] + } + ], + "source": [ + "import -------- as np\n", + "\n", + "# Show log(exp(x)) == x and exp(log(x)) == x for several values\n", + "x_vals = np.array([1, 2, --------, np.e])\n", + "print(\"x\\tlog(exp(x))\\texp(log(x))\")\n", + "for x in --------:\n", + " print(f\"{x:.2f}\\t{np.log(np.exp(x)):.2f}\\t\\t{np.exp(np.log(x)):.2f}\")\n", + "\n", + "# Edge case: try negative and zero values (show error/NaN for log)\n", + "y_vals = np.array([0, -1, 5])\n", + "print(\"\\nlog(exp(y)) for 0 and negative values:\")\n", + "print(np.log(np.exp(y_vals)))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "lVZufz08g1hI" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# 1) The log and exp functions are also inverse, and ultimately the answer is the original number itself, and log is used for positive numbers, and returns an error or nan for zero and negative values." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "mOAqtnk6fDH6" + }, + "source": [ + "## 2. Plotting Sine Functions Variations\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "DoWdSehie66R", + "outputId": "a83a3ade-6ca7-425c-9fa8-59ca9c343d9a" + }, + "outputs": [ + { + "data": { + "image/png": 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", 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    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "x = np.--------(-2*np.pi, 2*np.pi, --------)\n", + "\n", + "# look at the description of each function and call the proper function from numpy\n", + "plt.plot(x, np.sin(--------), label='sin(x)')\n", + "plt.plot(x, np.--------(2*x), label='sin(2x)')\n", + "plt.plot(x, np.sin(--------), label='sin(x/2)')\n", + "plt.plot(x, np.sin(x)--------, label='sin²(x)')\n", + "plt.legend()\n", + "plt.title(\"Variations of Sine Functions\")\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "dMVcqrfihf0P" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# 2) Changing the coefficient inside the sine function causes a change in the number of oscillations. For example, the oscillations of sin(2x) are greater than sin(x/2)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "4-5A1OkdfHXq" + }, + "source": [ + "## 3. Subplots: Trig, Inverse, Exp, and Log" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 807 + }, + "id": "DxocsCu6fGOR", + "outputId": "5864a5cc-5776-45bd-99f7-028c64e301af" + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = np.--------(-1, 1, 400)\n", + "x2 = --------.linspace(0.1, 2, 400) # For log and exp\n", + "\n", + "# based on the number of subplots what should be the dimensions in the following line?\n", + "fig, axs = plt.subplots(--------, --------, figsize=(16, 8))\n", + "axs[0,0].plot(x, np.sin(x)); axs[0,0].set_title(\"sin(x)\")\n", + "axs[0,1].plot(x, np.cos(x)); axs[0,1].set_title(\"cos(x)\")\n", + "axs[0,2].plot(x, np.tan(x)); axs[0,2].set_title(\"tan(x)\")\n", + "axs[0,3].plot(x, np.arcsin(x)); axs[0,3].set_title(\"arcsin(x)\")\n", + "axs[1,0].plot(x, np.arccos(x)); axs[1,0].set_title(\"arccos(x)\")\n", + "axs[1,1].plot(x, np.arctan(x)); axs[1,1].set_title(\"arctan(x)\")\n", + "axs[1,2].plot(x2, np.exp(x2)); axs[1,2].set_title(\"exp(x)\")\n", + "axs[1,3].plot(x2, np.log(x2)); axs[1,3].set_title(\"log(x)\")\n", + "\n", + "plt.tight_layout()\n", + "plt.--------()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "thpsEzFVikPh" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# 3) Well, here we see the graph of trigonometric functions and their inverses." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "WAidrU51fMqB" + }, + "source": [ + "## 4. Features of the Sigmoid Function" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 489 + }, + "id": "lehJV_vNfLXx", + "outputId": "9cfc6ec4-9dfc-4220-a955-4d6a11fac8f3" + }, + "outputs": [ + { + "data": { + "image/png": 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FFci9WoZyE4QUjZ0SjmoVHNQ1Hx3tVbWvVXBUK+GgVsHeTgm1Sgl7lQJqlbL2T+3f7Wo/Kuu/Z6dSQqVQQKkElAoFVEpF7cf6r5UKXPeeAiqFAnp9NXampWLY0KHQ2KuhUiqgUNQspwCgqG27Jmj8OaaAovbjn3Nww9j1c9BgeUBx/WuF+UKgub5H6468tIRVhRs/Pz/k5eXVG8vLy4OLi0uje20AQKPRQKPRNBhXq9Vm+8VgznVbArn3B8i/R/Zn/ayhx+JyHdILSnE2vwzpBdeQnn8NZwuu4WJhOQzNHn6p+YdXpVTAo4M9vJw18HK2h7uTPVwd1XBxtIOLgxoujuraj3++dtbYwcm+JsColJa3F0en0+GcIxDm62Lx2+9Wmfp7tDXrsqpwEx0djQ0bNtQbS05ORnR0tEQVERERABSUVuFoVjEOXyrGkawiHL5UjPzSqibnO6iVCHBzRGDtn4DaPz7OdjixfxcmjImBt4sTlBYYUMjySRpurl27hvT0dOPrjIwMHDx4EB4eHujcuTPmzp2LrKws/N///R8A4B//+Af+85//4MUXX8Rjjz2GrVu34rvvvsPPP/8sVQtERDbp0tVy7DpXiF0ZV7AroxDnrzR+PoS/qwO6+jgjzNsZYT7O6OrtjDCfDvB21jR6aESn0+HqScCjgz2DDbWZpOFm7969GDlypPF13bkxU6dOxapVq5CTk4MLFy4Y3w8NDcXPP/+MZ599Fh988AE6deqEzz77jJeBExGZWVW1HjvPFWLriTxsPZWPi4UV9d5XKIAwb2f0DXRFn06u6NvJFeF+LnDWWNUBApIJSb/rRowYUe/a+Bs1dvfhESNG4MCBA2asioiIAKBcW43Nx/Lwy9Ec/H7mMsq1f17ho1Iq0CfQFVFdPPCXLp4YGOyOjg7yPoeErAcjNRERGekNAqlnL+OH/VnYeCy3XqDx6ajBqAgfjOrhi+gwT3TgXhmyUPzOJCIiFJZpsXrXeXy18wJySyqN4509nHBvZABG9/RD70AXs15CTGQqDDdERDbsdF4pVv6Rge/3Z6Gq2gAAcHVU4+6+/rj/tkDc1tmdgYasDsMNEZENOpZdjH9vPo2tJ/ONY30CXfHY0BCM7eMPjZ1KwuqIbg3DDRGRDcm8XIZ/J5/Gfw9lAwCUCuCu3n547PZQDAjmXhqSB4YbIiIbcOVaFf6dfBrf7bmI6trbA4/vF4CE2O4I9eogcXVEpsVwQ0QkY0IIfL8/C2/8fBxXy2ueqjwy3BvPx4WjV4CrxNURmQfDDRGRTF24Uo5/rj+C389cBgD08OuIBff0QlQXT4krIzIvhhsiIpkxGARW/JGBhZtPoVJngL2dEnNGdcMTd3SBWqWUujwis2O4ISKSkfzSSjz33SHj3pohYZ54874+PK+GbArDDRGRTOw6dwWzVh/A5WtVcFAr8drdPfHw4M68AopsDsMNEZGVE0JgVWom3vz5BKoNAj38OmLJpP7o5ttR6tKIJMFwQ0RkxXR6A+b9eBTf7L4IALg3MgBv398Xjva8CR/ZLoYbIiIrda2qGjO/3o/fThdAqQBeGRuB6UNDeRiKbB7DDRGRFSos0+LxLw/gSFYxHNRKLJl0G2J7+kpdFpFFYLghIrIyxVpg8ud7kF5QBo8O9lj56CD0C3KTuiwii8FwQ0RkRfJKKvHhMRUuV5bBz8UBXz0+GF19eOIw0fUYboiIrMTla1WYsnIfLlcq0MnNAd88EY0gDyepyyKyOLxVJRGRFSgu1+Hvn+3CuctlcLMX+PKxQQw2RE3gnhsiIgtXqdNjxv/txcncUng72+OJruXo5O4odVlEFot7boiILJjBIPDcd4ewO7MQHTV2WDF1AHyYa4iaxXBDRGTB3t10Cj8fyYFapcDHUwaghx9PHia6GYYbIiILtf5AFpZvPwsAeO+BfhgS5iVxRUTWgeGGiMgCHbpYhBf/32EAwMwRYZjQP1DiioisB8MNEZGFuVqmxVNf7YO22oCYCB88Pzpc6pKIrArDDRGRBTEYBBK+O4js4kqEenXA+xMjoVTyWVFErcFwQ0RkQT7+7Ry2nSqAxk6JpQ/fho4OaqlLIrI6DDdERBbi4MUiLNx8CgAw/55e6BngInFFRNaJ4YaIyAJUaPVIWHMQeoPA3X398dCgIKlLIrJaDDdERBYg6ZcTOHe55mGYb0zoDYWC59kQtRXDDRGRxHacuYz/SzsPAHjvwb5wc7KXuCIi68ZwQ0QkoXJtNV7+vuZ+NlOigzGsm7fEFRFZP4YbIiIJ/XvzaVy6WoFAN0e8dFcPqcshkgWGGyIiiRy6WISVf2QAAN64rzc6aOwkrohIHhhuiIgkoDcI/HP9ERgEMCEyACPDfaQuiUg2GG6IiCSwevcFHM0qgYuDHV69u6fU5RDJCsMNEVE7KyzTYuGmmpv1PTc6HF7OGokrIpIXhhsionb23qaTKK7QIcLfBZOjOktdDpHsMNwQEbWjEzkl+HbPRQDA6/f2gp2Kv4aJTI0/VURE7Sjpl5MQAhjXxx+DQjykLodIlhhuiIjayfbTBfjtdAHUKgVevCtc6nKIZIvhhoioHegNAkkbTgAApkSHINizg8QVEckXww0RUTv476FsnMwthYuDHZ6+s6vU5RDJGsMNEZGZ6fQGLP71NADgyeFhfDAmkZkx3BARmdn3+y8h80o5PDvY49EhIVKXQyR7DDdERGZUVa3Hh1vSAQBPjQjj86OI2gHDDRGRGX239xKyiirg5+KAv/8lWOpyiGwCww0RkZno9AYsTzkLoGavjYNaJXFFRLaB4YaIyEx+OJCFrKIKeDlrMHFQkNTlENkMhhsiIjPQGwSW1e61eeKOUO61IWpHDDdERGbw85EcZFwug5uTGpOjeK4NUXtiuCEiMjEh/txrM21IKK+QImpnDDdERCaWevYKTuSUwFGtwpRo7rUham8MN0REJvbJb+cAAH8b2AnuHXg3YqL2xnBDRGRCp3JLsf10ARQK4LGhoVKXQ2STGG6IiEzos99r9trc1cuPT/4mkojk4Wbp0qUICQmBg4MDoqKisHv37mbnL168GOHh4XB0dERQUBCeffZZVFZWtlO1RERNu3ytCj8ezAYAPD6si8TVENkuScPNmjVrkJCQgMTEROzfvx/9+vVDXFwc8vPzG52/evVqvPzyy0hMTMSJEyfw+eefY82aNXjllVfauXIioobW7LkIrd6AfkFuGBDsLnU5RDZL0nCzaNEizJgxA9OmTUPPnj2xfPlyODk5YcWKFY3OT01Nxe23346HH34YISEhGD16NCZNmnTTvT1EROZWrTfgq53nAQBTeYUUkaQku/mCVqvFvn37MHfuXOOYUqlETEwM0tLSGl1myJAh+Oqrr7B7924MHjwY586dw4YNG/DII480+XmqqqpQVVVlfF1SUgIA0Ol00Ol0JuoGxnVe/1Fu5N4fIP8e2Z/5/HI0FznFlfDooMboCG+z1cBtaN3k3h9gvh5bsz6FEEKY9LO3UHZ2NgIDA5Gamoro6Gjj+Isvvojt27dj165djS734Ycf4vnnn4cQAtXV1fjHP/6BZcuWNfl55s+fjwULFjQYX716NZycnG69ESIiAB8eVeFsqQKjAw0Y19kgdTlEslNeXo6HH34YxcXFcHFxaXauVd02MyUlBW+99RY++ugjREVFIT09HXPmzMG//vUvvPbaa40uM3fuXCQkJBhfl5SUICgoCKNHj77pF6e1dDodkpOTERsbC7VabdJ1WwK59wfIv0f2Zx6n80pxNi0NKqUCr04aAX9XB7N9Lm5D6yb3/gDz9Vh35KUlJAs3Xl5eUKlUyMvLqzeel5cHPz+/Rpd57bXX8Mgjj+Dxxx8HAPTp0wdlZWV44okn8M9//hNKZcNTiDQaDTQaTYNxtVpttm8sc67bEsi9P0D+PbI/0/puX80VUrERvujs1bFdPie3oXWTe3+A6XtszbokO6HY3t4eAwYMwJYtW4xjBoMBW7ZsqXeY6nrl5eUNAoxKVfOkXYmOrhGRjavQ6vH9gSwAwMNRnSWuhogAiQ9LJSQkYOrUqRg4cCAGDx6MxYsXo6ysDNOmTQMATJkyBYGBgUhKSgIAjB8/HosWLUL//v2Nh6Vee+01jB8/3hhyiIja0/8OZ6O0shpBHo4Y2tVL6nKICBKHm4kTJ6KgoADz5s1Dbm4uIiMjsXHjRvj6+gIALly4UG9PzauvvgqFQoFXX30VWVlZ8Pb2xvjx4/Hmm29K1QIR2bhvdl8AADw0qDOUSoXE1RARYAEnFMfHxyM+Pr7R91JSUuq9trOzQ2JiIhITE9uhMiKi5p3MLcH+C0WwUyrw4MBOUpdDRLUkf/wCEZG1WrPnIgAgJsIXPh3Nd4UUEbUOww0RURtoqw3G50hNHBQkcTVEdD2GGyKiNth6Mg+FZVr4dNRgWDeeSExkSRhuiIjaYO3eSwCA+2/rBDsVf5USWRL+RBIRtVJ+aSVSThcAAE8kJrJADDdERK30w/4s6A0Ct3V2Q5i3s9TlENENGG6IiFrph9o7Ej8wgCcSE1kihhsiolY4lVuKk7mlUKsUGNfHX+pyiKgRDDdERK3w06GavTYjwn3g6iTvBx8SWSuGGyKiFhJC4KdDNfe2uadfgMTVEFFTGG6IiFrowMUiXCysgJO9CjERvlKXQ0RNYLghImqhn2rvSBzXyw+O9iqJqyGipjDcEBG1QLXegP8d5iEpImvAcENE1AJp567g8jUt3J3UGMrHLRBZNIYbIqIWqHtI5ri+/lDzcQtEFo0/oUREN1Gp02PT0VwAwD39AiWuhohuhuGGiOgmUk7lo7SqGgGuDhgY7C51OUR0Eww3REQ3UXdIany/ACiVComrIaKbYbghImpGaaUOW07mAwDuieRVUkTWgOGGiKgZW07kQ1ttQJh3B/T0d5G6HCJqAYYbIqJmbKw9kXhsH38oFDwkRWQNGG6IiJpQodUj5XTNIam4Xn4SV0NELcVwQ0TUhO2nC1CpM6CTuyN6BfCQFJG1YLghImrCpmM1h6Tu6uXHQ1JEVoThhoioEdpqA349kQcAuKs3D0kRWROGGyKiRqSdu4LSymp4d9Tgts68cR+RNWG4ISJqxMajOQCAuF6+vHEfkZVhuCEiuoHeILD5WO0hqV7+EldDRK3FcENEdIO9mYW4UqaFq6MaUV08pC6HiFqJ4YaI6AYba6+SionwhVrFX5NE1oY/tURE1xFCYFPtXYl5lRSRdWK4ISK6zpGsYmQXV8LJXoVh3bykLoeI2oDhhojoOnXPkhoZ7gMHtUriaoioLRhuiIius/l4zVVSo3v5SlwJEbUVww0RUa3zV8qQnn8NdkoFRoT7SF0OEbURww0RUa0tJ2qeAD4oxAOujmqJqyGitmK4ISKqtfVkTbgZFcG9NkTWjOGGiAhAaaUOuzKuAABGRfB8GyJrxnBDRATg9zOXodMLdPHqgFCvDlKXQ0S3gOGGiAh/nm9zZw8ekiKydgw3RGTz9AaBbafqzrfhISkia8dwQ0Q27+DFIhSWadHRwQ4DQ9ylLoeIbhHDDRHZvK0na27cN7y7Nx+USSQD/CkmIptXd75NDA9JEckCww0R2bRLV8txMrcUSkXNnhsisn4MN0Rk0+pu3Dcg2B3uHewlroaITIHhhohsWt0hKV4lRSQfDDdEZLPKqqqRdrb2rsS8vw2RbDDcEJHN+iP9MrR6A4I8HNHVx1nqcojIRBhuiMhmbT9dAAAYGe4DhUIhcTVEZCoMN0Rkk4QQSDlVE25GhPMqKSI5YbghIpt0tqAMWUUVsFcp8ZcunlKXQ0QmxHBDRDap7pDU4FAPONnbSVwNEZkSww0R2aSU2gdl8pAUkfww3BCRzanQ6rEroxAA70pMJEcMN0Rkc3ZmXIG22oAAVwdeAk4kQ5KHm6VLlyIkJAQODg6IiorC7t27m51fVFSEWbNmwd/fHxqNBt27d8eGDRvaqVoikoPttVdJDecl4ESyJOlZdGvWrEFCQgKWL1+OqKgoLF68GHFxcTh16hR8fBreLVSr1SI2NhY+Pj5Yt24dAgMDcf78ebi5ubV/8URktepOJuYhKSJ5kjTcLFq0CDNmzMC0adMAAMuXL8fPP/+MFStW4OWXX24wf8WKFSgsLERqairUajUAICQkpD1LJiIrd/5KGTIul8FOqcDtXXkJOJEcSRZutFot9u3bh7lz5xrHlEolYmJikJaW1ugyP/30E6KjozFr1iz8+OOP8Pb2xsMPP4yXXnoJKpWq0WWqqqpQVVVlfF1SUgIA0Ol00Ol0JuwIxvWZer2WQu79AfLvkf0BW0/kAgBu6+wGB5X1fS24Da2b3PsDzNdja9anEEIIk372FsrOzkZgYCBSU1MRHR1tHH/xxRexfft27Nq1q8EyPXr0QGZmJiZPnoyZM2ciPT0dM2fOxOzZs5GYmNjo55k/fz4WLFjQYHz16tVwcnIyXUNEZBU+OanEsatK3N1Zj9hASX79EVEblJeX4+GHH0ZxcTFcXFyanWtVd64yGAzw8fHBJ598ApVKhQEDBiArKwvvvfdek+Fm7ty5SEhIML4uKSlBUFAQRo8efdMvTmvpdDokJycjNjbWeNhMTuTeHyD/Hm29v6pqA17euxWAAU/cPRQR/h3bv8hbZOvb0NrJvT/AfD3WHXlpCcnCjZeXF1QqFfLy8uqN5+Xlwc/Pr9Fl/P39oVar6x2CioiIQG5uLrRaLezt7Rsso9FooNFoGoyr1WqzfWOZc92WQO79AfLv0Vb725V5GRU6A7w7atAnyN2qr5Sy1W0oF3LvDzB9j61Zl2SXgtvb22PAgAHYsmWLccxgMGDLli31DlNd7/bbb0d6ejoMBoNx7PTp0/D392802BARXW/76Zq7Eg/v7m3VwYaImifpfW4SEhLw6aef4osvvsCJEyfw1FNPoayszHj11JQpU+qdcPzUU0+hsLAQc+bMwenTp/Hzzz/jrbfewqxZs6RqgYisCC8BJ7INkp5zM3HiRBQUFGDevHnIzc1FZGQkNm7cCF9fXwDAhQsXoFT+mb+CgoKwadMmPPvss+jbty8CAwMxZ84cvPTSS1K1QERWIq+kEqfzrkGhAIZ29ZK6HCIyI8lPKI6Pj0d8fHyj76WkpDQYi46Oxs6dO81cFRHJze9nLgMA+ga6wr0DD2MTyZnkj18gImoPO87UHJIa2o17bYjkjuGGiGTPYBDYkX4FADC0K8+3IZI7hhsikr2TuaW4fK0KTvYq3BbsJnU5RGRmDDdEJHs70msOSUWFekBj1/ijWohIPhhuiEj26k4mHtqNh6SIbAHDDRHJWqVOj90ZhQCAO3gyMZFNYLghIlnbm3kVVdUG+Lpo0NXHWepyiKgdMNwQkaz9Xnu+zdCufOQCka1guCEiWdtRe77NHd15SIrIVjDcEJFsXb5WhWPZJQCA2/nIBSKbwXBDRLL1R3rNXpsIfxd4OWskroaI2gvDDRHJlvGQFK+SIrIpDDdEJEtCiOvub8NwQ2RLGG6ISJbOFlxDbkkl7O2UGBTiIXU5RNSOGG6ISJbq9tpEhXrAQc1HLhDZEoYbIpIl4yEpXiVFZHPsWruAwWDA9u3b8fvvv+P8+fMoLy+Ht7c3+vfvj5iYGAQFBZmjTiKiFtNWG7Dz3BUAPN+GyBa1eM9NRUUF3njjDQQFBWHs2LH45ZdfUFRUBJVKhfT0dCQmJiI0NBRjx47Fzp07zVkzEVGzDl4qQrlWDy9ne0T4uUhdDhG1sxbvuenevTuio6Px6aefIjY2Fmq1usGc8+fPY/Xq1XjooYfwz3/+EzNmzDBpsURELbEjvWavze1dvaBU8pELRLamxeFm8+bNiIiIaHZOcHAw5s6di+effx4XLly45eKIiNrij7O1h6R4vg2RTWrxYambBZvrqdVqhIWFtakgIqJbUV4NHM2qeeTCsG7eEldDRFJo09VS8+fPh8FgaDBeXFyMSZMm3XJRRERtdbpYAYMAuvk4w8/VQepyiEgCbQo3n3/+OYYOHYpz584Zx1JSUtCnTx+cPXvWZMUREbXWqaKac2x4lRSR7WpTuDl8+DA6deqEyMhIfPrpp3jhhRcwevRoPPLII0hNTTV1jURELXaquCbc3MFDUkQ2q9X3uQEAd3d3fPfdd3jllVfw5JNPws7ODr/88gtGjRpl6vqIiFrsfGE5rlQpoFYpENWFj1wgslVtvkPxkiVL8MEHH2DSpEno0qULZs+ejUOHDpmyNiKiVqm7BLx/kBuc7Nv0/25EJANtCjd33XUXFixYgC+++AJff/01Dhw4gDvuuAN/+ctf8O6775q6RiKiFvmj7v42YZ4SV0JEUmpTuNHr9Th8+DAeeOABAICjoyOWLVuGdevW4f333zdpgURELVGtN2BnRiEAYGhXhhsiW9am/bbJycmNjo8bNw5Hjhy5pYKIiNri0KVilFZWw0kl0CuAj1wgsmUt3nMjhGjRPC8vXn5JRO1vR+1TwLu7Cqj4yAUim9bicNOrVy98++230Gq1zc47c+YMnnrqKbz99tu3XBwRUUvtSC8AAIS7tex/xIhIvlp8WGrJkiV46aWXMHPmTMTGxmLgwIEICAiAg4MDrl69iuPHj2PHjh04duwY4uPj8dRTT5mzbiIio9JKHQ5cKAIAhLsy3BDZuhaHm1GjRmHv3r3YsWMH1qxZg6+//hrnz59HRUUFvLy80L9/f0yZMgWTJ0+Gu7u7OWsmIqpn57lCVBsEQjyd4OlQInU5RCSxVp9QXPfYhYSEBISGhpqjJiKiVvn9TM0hqZpLwBluiGxdm66WmjZtGv7zn/9Aq9Xi8OHDUKlU6NmzJx577DG4uPAqBSJqX3UnEw/t6gltRobE1RCR1Np0nxshBOLj47Fw4UIUFRUhPz8fCxcuRFhYGA4cOGDqGomImnTpajnOXS6DSqlAVCgPiRNRG/fcAMDjjz+Ojz76CCqVCgCg0+kwY8YMzJkzB7/99pvJCiQiak7dXpv+QW7o6KCWuBoisgRtfrZUQkKCMdgAgFqtxosvvoi9e/eapDAiopb4ve6QVDfeY4uIarQp3Li5ueHSpUsNxi9evMhzboio3egNAn+crQk3w7p5S1wNEVmKNoWb2NhYTJ8+HevWrUNWVhYuXLiAb775Bo8//jgmT55s6hqJiBp1NKsYReU6dHSwQ79OrlKXQ0QWok3n3Hz00UeYPXs2Jk6caBzTaDSIj4/Hm2++abLiiIiasyO9Zq/NkDBP2KmU0Bn0EldERJagTeHG09MTX3/9NZYtW4Zz585BrVYjLCwMDg4Opq6PiKhJv52uub/NUB6SIqLrtPlqKQBwcXFBZGSkiUohImq5sqpq7L9wFQBwB08mJqLrtPlqKSIiKe3KuAKdXiDIwxHBnh2kLoeILAjDDRFZpbpLwHmVFBHdiOGGiKySMdx05SEpIqqP4YaIrE5OcQXS869BqQCGhDHcEFF9DDdEZHXq9tr07eQGVyc+coGI6mO4ISKrUxdueJUUETWG4YaIrIrBIPBHet3zpHgyMRE1xHBDRFbleE4JCsu06GCvQv/OblKXQ0QWiOGGiKxK3SGp6DBPqFX8FUZEDfE3AxFZld/P1Dxygfe3IaKmMNwQkdWo0OqxN7PmkQtDeTIxETWB4YaIrMaujCvQ6g0IdHNEFy8+coGIGsdwQ0RWY0ft+TZDu3pBoVBIXA0RWSqLCDdLly5FSEgIHBwcEBUVhd27d7douW+//RYKhQITJkwwb4FEZBF+qzvfpjsPSRFR0yQPN2vWrEFCQgISExOxf/9+9OvXD3FxccjPz292uczMTDz//PMYNmxYO1VKRFLKLqrA6byaRy4M5fOkiKgZkoebRYsWYcaMGZg2bRp69uyJ5cuXw8nJCStWrGhyGb1ej8mTJ2PBggXo0qVLO1ZLRFLZfrpmr03/zu5wc7KXuBoismSShhutVot9+/YhJibGOKZUKhETE4O0tLQml3v99dfh4+OD6dOnt0eZRGQBtp+qCTfDu/MScCJqnp2Un/zy5cvQ6/Xw9fWtN+7r64uTJ082usyOHTvw+eef4+DBgy36HFVVVaiqqjK+LikpAQDodDrodLq2Fd6EuvWZer2WQu79AfLv0Vr70+kN2FH7yIXbu7g3Wb+19tcacu+R/Vk/c/XYmvVJGm5aq7S0FI888gg+/fRTeHm17Jh7UlISFixY0GB88+bNcHJyMnWJAIDk5GSzrNdSyL0/QP49Wlt/6SXAtSo7dLATuHDoD1w63Px8a+uvLeTeI/uzfqbusby8vMVzJQ03Xl5eUKlUyMvLqzeel5cHPz+/BvPPnj2LzMxMjB8/3jhmMBgAAHZ2djh16hTCwsLqLTN37lwkJCQYX5eUlCAoKAijR4+Gi4uLKduBTqdDcnIyYmNjoVarTbpuSyD3/gD592it/f07+QyADIzqGYC7x/Vpcp619tcacu+R/Vk/c/VYd+SlJSQNN/b29hgwYAC2bNlivJzbYDBgy5YtiI+PbzC/R48eOHLkSL2xV199FaWlpfjggw8QFBTUYBmNRgONRtNgXK1Wm+0by5zrtgRy7w+Qf4/W1t9vZ64AAEZG+LSobmvrry3k3iP7s36m7rE165L8sFRCQgKmTp2KgQMHYvDgwVi8eDHKysowbdo0AMCUKVMQGBiIpKQkODg4oHfv3vWWd3NzA4AG40QkD/kllTieUwKFAriDz5MiohaQPNxMnDgRBQUFmDdvHnJzcxEZGYmNGzcaTzK+cOEClErJr1gnIon8VntX4j6BrvB0brgXlojoRpKHGwCIj49v9DAUAKSkpDS77KpVq0xfEBFZjJRTNTf05CXgRNRS3CVCRBZLbxD4vXbPzYhwhhsiahmGGyKyWIcuFaG4QgcXBzv06+QmdTlEZCUYbojIYqXU3pV4WDdv2Kn464qIWoa/LYjIYtU9T2o4D0kRUSsw3BCRRSos0+LwpSIAPJmYiFqH4YaILNL20/kQAujh1xG+Lg5Sl0NEVoThhogs0pYTNZeAx0T43mQmEVF9DDdEZHF0eoPxfJs7I3wkroaIrA3DDRFZnD2ZhSitrIZnB3teAk5ErcZwQ0QWZ2vtIamRPXygUiokroaIrA3DDRFZnC0na8LNqB48JEVErcdwQ0QW5VzBNWRcLoNapcAwXgJORG3AcENEFmVr7V6bv3TxhLPGIp7tS0RWhuGGiCzKryfyAAB38pAUEbURww0RWYziCh32ZF4FAIzqwfvbEFHbMNwQkcX47XQB9AaBbj7O6OzpJHU5RGSlGG6IyGJsqTskxRv3EdEtYLghIotQrTcgpfauxHzkAhHdCoYbIrIIBy4WoahcBzcnNfoHuUldDhFZMYYbIrIIdVdJjQz3gZ2Kv5qIqO34G4SILMKvx3kJOBGZBsMNEUkuPb8UZwvKYK9SYkQ470pMRLeG4YaIJLfxaC4AYGg3L3R0UEtcDRFZO4YbIpLcxmM14eauXn4SV0JEcsBwQ0SSulhYjqNZJVAqgJievASciG4dww0RSWpT7V6bqFBPeHSwl7gaIpIDhhsiklTd+TZ39eYhKSIyDYYbIpJMfkkl9l2oeVDm6F48JEVEpsFwQ0SS2Xw8D0IAkUFu8Hd1lLocIpIJhhsikkzd+TY8JEVEpsRwQ0SSKCrXIu3sFQBAHC8BJyITYrghIklsOZGPaoNAD7+OCPXqIHU5RCQjDDdEJIm6G/dxrw0RmRrDDRG1u7Kqavx2ugAAz7chItNjuCGidrf1ZD6qqg0I9nRCD7+OUpdDRDLDcENE7e6nQ9kAgLv7+kOhUEhcDRHJDcMNEbWr4nIdUk7lAwDujQyUuBoikiOGGyJqVxuP5UCnr7lKqrsvD0kRkekx3BBRu/rxYM0hqXsiAySuhIjkiuGGiNpNXkkl0s7V3LhvfF+GGyIyD4YbImo3/zucAyGAAcHuCPJwkrocIpIphhsiajc/HcwCANzLQ1JEZEYMN0TULjIul+HQpWKolAqM7eMvdTlEJGMMN0TULn6qPZH49q5e8HLWSFwNEckZww0RmZ0QAj8eqj0k1Y+HpIjIvBhuiMjsjmWX4FxBGTR2Sozu5St1OUQkcww3RGR2dY9biInwRUcHtcTVEJHcMdwQkVnpDcJ4vs14HpIionbAcENEZvX7mQLkllTCzUmNkT28pS6HiGwAww0RmdXafZcAABMiA6GxU0lcDRHZAoYbIjKbonItko/lAQAeGNBJ4mqIyFYw3BCR2fx0KBtavQER/i7oHegqdTlEZCMYbojIbNburTkk9SD32hBRO2K4ISKzOJ5dgiNZxVCrFHyWFBG1K4YbIjKLb3ZfAACM7ukHTz5ugYjaEcMNEZlcubYa6w/UPG7h4ajOEldDRLbGIsLN0qVLERISAgcHB0RFRWH37t1Nzv30008xbNgwuLu7w93dHTExMc3OJ6L2979DOSitqkawpxOiu3hKXQ4R2RjJw82aNWuQkJCAxMRE7N+/H/369UNcXBzy8/MbnZ+SkoJJkyZh27ZtSEtLQ1BQEEaPHo2srKx2rpyImrK69pDUpMGdoVQqJK6GiGyN5OFm0aJFmDFjBqZNm4aePXti+fLlcHJywooVKxqd//XXX2PmzJmIjIxEjx498Nlnn8FgMGDLli3tXDkRNeZ4dgkOXiyCWqXgvW2ISBKShhutVot9+/YhJibGOKZUKhETE4O0tLQWraO8vBw6nQ4eHh7mKpOIWuHLnZkAgNG9/ODFE4mJSAJ2Un7yy5cvQ6/Xw9fXt964r68vTp482aJ1vPTSSwgICKgXkK5XVVWFqqoq4+uSkhIAgE6ng06na2Pljatbn6nXaynk3h8g/x7N3V9RuQ4/1J5IPHlQp3b/Osp9+wHy75H9WT9z9dia9Ukabm7V22+/jW+//RYpKSlwcHBodE5SUhIWLFjQYHzz5s1wcnIyS13JyclmWa+lkHt/gPx7NFd/W7MVqNSpEOgkkH8sDRuOm+XT3JTctx8g/x7Zn/UzdY/l5eUtnitpuPHy8oJKpUJeXl698by8PPj5+TW77MKFC/H222/j119/Rd++fZucN3fuXCQkJBhfl5SUGE9CdnFxubUGbqDT6ZCcnIzY2Fio1WqTrtsSyL0/QP49mrM/vUHgvcU7AFRgZmwvjBvY/ufbyH37AfLvkf1ZP3P1WHfkpSUkDTf29vYYMGAAtmzZggkTJgCA8eTg+Pj4Jpd799138eabb2LTpk0YOHBgs59Do9FAo2l43F+tVpvtG8uc67YEcu8PkH+P5uhv+/E8XLpaAVdHNe4f0BlqtXRPAJf79gPk3yP7s36m7rE165L8sFRCQgKmTp2KgQMHYvDgwVi8eDHKysowbdo0AMCUKVMQGBiIpKQkAMA777yDefPmYfXq1QgJCUFubi4AwNnZGc7OzpL1QWTrVvyRAQB4aFAQHO2lCzZERJKHm4kTJ6KgoADz5s1Dbm4uIiMjsXHjRuNJxhcuXIBS+edFXcuWLYNWq8UDDzxQbz2JiYmYP39+e5ZORLWOZhUj9ewVqJQKTBkSInU5RGTjJA83ABAfH9/kYaiUlJR6rzMzM81fEBG1yme/nwMA3N3XH4FujhJXQ0S2TvKb+BGRdcsuqsB/D+cAAGYM6yJxNUREDDdEdItWpWZCbxCI7uKJ3oGuUpdDRMRwQ0RtV1yuw+pdNc+RmnFHqMTVEBHVYLghojZblZqJa1XV6OHXESO6+0hdDhERAIYbImqja1XVxsu/Z43syqd/E5HFYLghojb5aud5FFfo0MWrA8b28Ze6HCIiI4YbImq1Cq3eePn3UyPCoOJeGyKyIAw3RNRqX+7MxOVrWnRyd8SE/oFSl0NEVA/DDRG1yrWqaixLOQsAmD2qG9Qq/hohIsvC30pE1Cord2TgannNuTb3c68NEVkghhsiarHich0+qT3X5pnY7rDjXhsiskD8zURELfbR9nSUVtbc1+ZuXiFFRBaK4YaIWuRiYTlW/pEJAHghLpz3tSEii8VwQ0QtsnDzKWirDRgS5ok7e/BuxERkuRhuiOimDl0swo8Hs6FQAK+MjYBCwb02RGS5GG6IqFlCCPzrf8cBAPf1D+STv4nI4jHcEFGzvt+fhb3nr8LJXoUX4sKlLoeI6KYYboioSSWVOiT9chIA8PSd3eDv6ihxRUREN8dwQ0RNej/5NC5fq0IXrw6YPjRU6nKIiFqE4YaIGnX4UhG+SM0EAMy/pxfs7fjrgoisA39bEVEDOr0BL647DIMAxvcLwB3dvaUuiYioxRhuiKiBT347h5O5pXBzUiNxfE+pyyEiahWGGyKqJz2/FB9sOQMAmHd3T3g5aySuiIiodRhuiMhIW23AM2sOQlttwIhwb9zHp34TkRViuCEiow+3nMHRrBK4Oanxzl/78k7ERGSVGG6ICACwN7MQH6WkAwDeuq8PfF0cJK6IiKhtGG6ICIVlWjz9zQEYBHB//0CM7eMvdUlERG3GcENk4wwGgYTvDiKnuBJdvDrg9Qm9pS6JiOiWMNwQ2bhl288i5VQBNHZKLJ18G5w1dlKXRER0SxhuiGzY1pN5WLj5FABgwT29EOHvInFFRES3juGGyEal55dizjcHIQQwaXBnTBwUJHVJREQmwXBDZIMKy7SY8X/7UFpVjcEhHlhwTy9e9k1EssFwQ2RjtHrgya8PIONyGQLdHPHR32/jQzGJSFZ45iCRDanWG/DFGSWOXi2Gq6MaXzw2iI9XICLZ4f+uEdkIvUHg5R+O4ehVJTR2Snw+dSC6+nSUuiwiIpNjuCGyAQaDwD9/OIIfD+VAqRBY/Le+GBjiIXVZRERmwXBDJHN6g8A/1x/Bt3suQqkApnQ1ICbCR+qyiIjMhufcEMmYTm/Ac98dwk+HsqFUAO/c3xv22QelLouIyKy454ZIpsq11Xjyy3346VA27JQKLJl0GyZEBkhdFhGR2XHPDZEM5ZdUYvoXe3EkqxgaOyWW/f023NnDFzqdTurSiIjMjuGGSGaOZhXjyS/3IauoAh4d7PHplIEYEOwudVlERO2G4YZIRv7fvkt45YcjqKo2INSrA1Y+OgghXh2kLouIqF0x3BDJQLm2Ggt+Oo41ey8CAO7s4YP3J0bC1VEtcWVERO2P4YbIyh3NKsacbw/gbEEZFArg6Tu74ZlR3aBU8llRRGSbGG6IrJS22oAlW8/go5Sz0BsEfF00eH9iJIaEeUldGhGRpBhuiKxQ2tkrmPfjUZzJvwYAGNfHH/+a0BseHewlroyISHoMN0RW5GJhORZuPoUfD2YDADw72OP1e3tjXF9/iSsjIrIcDDdEVqCgtAr/2XoGq3dfgE4voFAAk6M644XRPeDqxJOGiYiux3BDZMGKyrX49PdzWLEjExU6PQBgaFcvvHRXD/Tp5CpxdURElonhhsgCpedfw8o/MvD/9l9Cpc4AAOgX5IaX4sIxpCtPGCYiag7DDZGF0BsEfj9TgFWpmUg5VWAcj/B3wTMx3TC6py8UCl7eTUR0Mww3RBISQuB4TgnWH8jCjwezkV9aBQBQKICYCF88dnso/tLFg6GGiKgVGG6I2pkQAseyS7DlRD42HMnBqbxS43tuTmrc1z8Qjw4JQbAnH5tARNQWDDdE7aC4Qoc9GYXYeiofW0/kI7ek0vievUqJmJ4+mBAZiBHhPrC3U0pYKRGR9WO4ITKDy9eqsO/8Vew6V4hdGVdwPKcEQvz5vqNahWHdvBAT4Yu43n58BhQRkQkx3BDdAiEEcksqcSq3FMeyS3D4UhGOXCpGdnFlg7khnk4Y2s0LoyJ8Ed3FEw5qlQQVExHJH8MN0U0IIVBcocPFwgpcKCzHxavlyCgow+n8UqTnXUNpVXWDZRQKoKu3MwaHeiCqiyeiQj3g6+IgQfVERLbHIsLN0qVL8d577yE3Nxf9+vXDkiVLMHjw4Cbnr127Fq+99hoyMzPRrVs3vPPOOxg7dmw7VkxyYTAIXCnTIr+0EgWlVcgpKseOSwrs/d8J5F/T4mJhBS4WljcaYOqolAqEeDqhV4Ar+nZyRZ9AV/QKdIWzxiJ+vIiIbI7kv33XrFmDhIQELF++HFFRUVi8eDHi4uJw6tQp+Pj4NJifmpqKSZMmISkpCXfffTdWr16NCRMmYP/+/ejdu7cEHZBUdHoDyqv0KNdVo1yrR4VWj7KqapTr/vx7cYXO+KeovPZjhQ7F5VrjuEHcuGYVcPFig8/n3VGDzh5OCHJ3RGfPDuju64xuPh0R6tWBJwETEVkQycPNokWLMGPGDEybNg0AsHz5cvz8889YsWIFXn755QbzP/jgA9x111144YUXAAD/+te/kJycjP/85z9Yvnx5u9Z+vapqPXKKKnClErh4tRxqOzWEAARq/uWs+Ttq/y6u+zuAG+bUnXgqIP78+w3rAhofb+nnMP69dmXihnWhdp5BCOgNAgYhoNVW49AVBRRHc6FQqozv1b2vNwB6IWCoNyauG7vufSGgqzZApzdAqzdAWy1qP+qh0wtoq+vGa+fUfqzUGVCurUaFrmaeKSgUNQ+g9O7oAG9nNaqKCtA/Igz+bk4I8nBEkLsTOrk7wdGe58gQEVkDScONVqvFvn37MHfuXOOYUqlETEwM0tLSGl0mLS0NCQkJ9cbi4uKwfv36RudXVVWhqqrK+LqkpAQAoNPpoNPpbrGDPx26UIS/fbobgB1eP7DDZOu1PCrg9GGpi6jHTqmAk70KjvYqOKlVcNKo4KhWwcleBRcHNdyc1HB1rPtjB1cHNVyvG/NwUsNOVbPnRafTITk5GbEjQqBWX38FkwG62scgWLO673lTfu9bErn3B8i/R/Zn/czVY2vWJ2m4uXz5MvR6PXx9feuN+/r64uTJk40uk5ub2+j83NzcRucnJSVhwYIFDcY3b94MJyenNlbe0PlSQK2s+T/76+8lq7huQNHYe7V/MckyqNkL0WDuzdbZzDIKBaCs/VzK2r8rASgU4rq/46Z/VypqX1/3d7vaPyqlqP1YO6ZE/de1YyqFgFoJ2KsATe1He2XNe8BNvumrav8U1XzIr/3TlOTk5ObXZ+XYn/WTe4/sz/qZusfy8vIWz5X8sJS5zZ07t96enpKSEgQFBWH06NFwcXEx6ed6vO7/+mNjb/i/fnnQybw/QP49sj/rJ/ce2Z/1M1ePdUdeWkLScOPl5QWVSoW8vLx643l5efDz82t0GT8/v1bN12g00Gg0DcbVarXZvrHMuW5LIPf+APn3yP6sn9x7ZH/Wz9Q9tmZdkl7iYW9vjwEDBmDLli3GMYPBgC1btiA6OrrRZaKjo+vNB2p2fTU1n4iIiGyL5IelEhISMHXqVAwcOBCDBw/G4sWLUVZWZrx6asqUKQgMDERSUhIAYM6cORg+fDj+/e9/Y9y4cfj222+xd+9efPLJJ1K2QURERBZC8nAzceJEFBQUYN68ecjNzUVkZCQ2btxoPGn4woULUCr/3ME0ZMgQrF69Gq+++ipeeeUVdOvWDevXr+c9boiIiAiABYQbAIiPj0d8fHyj76WkpDQYe/DBB/Hggw+auSoiIiKyRrytKhEREckKww0RERHJCsMNERERyQrDDREREckKww0RERHJCsMNERERyQrDDREREckKww0RERHJCsMNERERyYpF3KG4PQkhALTu0ektpdPpUF5ejpKSElk+7VXu/QHy75H9WT+598j+rJ+5eqz7d7vu3/Hm2Fy4KS0tBQAEBQVJXAkRERG1VmlpKVxdXZudoxAtiUAyYjAYkJ2djY4dO0KhUJh03SUlJQgKCsLFixfh4uJi0nVbArn3B8i/R/Zn/eTeI/uzfubqUQiB0tJSBAQE1HugdmNsbs+NUqlEp06dzPo5XFxcZPtNC8i/P0D+PbI/6yf3Htmf9TNHjzfbY1OHJxQTERGRrDDcEBERkaww3JiQRqNBYmIiNBqN1KWYhdz7A+TfI/uzfnLvkf1ZP0vo0eZOKCYiIiJ5454bIiIikhWGGyIiIpIVhhsiIiKSFYYbIiIikhWGm1Z48803MWTIEDg5OcHNza3RORcuXMC4cePg5OQEHx8fvPDCC6iurm52vYWFhZg8eTJcXFzg5uaG6dOn49q1a2booHVSUlKgUCga/bNnz54mlxsxYkSD+f/4xz/asfKWCwkJaVDr22+/3ewylZWVmDVrFjw9PeHs7Iy//vWvyMvLa6eKWyczMxPTp09HaGgoHB0dERYWhsTERGi12maXs+RtuHTpUoSEhMDBwQFRUVHYvXt3s/PXrl2LHj16wMHBAX369MGGDRvaqdLWS0pKwqBBg9CxY0f4+PhgwoQJOHXqVLPLrFq1qsG2cnBwaKeKW2f+/PkNau3Ro0ezy1jT9gMa/52iUCgwa9asRudb+vb77bffMH78eAQEBEChUGD9+vX13hdCYN68efD394ejoyNiYmJw5syZm663tT/HrcVw0wparRYPPvggnnrqqUbf1+v1GDduHLRaLVJTU/HFF19g1apVmDdvXrPrnTx5Mo4dO4bk5GT873//w2+//YYnnnjCHC20ypAhQ5CTk1Pvz+OPP47Q0FAMHDiw2WVnzJhRb7l33323napuvddff71erU8//XSz85999ln897//xdq1a7F9+3ZkZ2fj/vvvb6dqW+fkyZMwGAz4+OOPcezYMbz//vtYvnw5XnnllZsua4nbcM2aNUhISEBiYiL279+Pfv36IS4uDvn5+Y3OT01NxaRJkzB9+nQcOHAAEyZMwIQJE3D06NF2rrxltm/fjlmzZmHnzp1ITk6GTqfD6NGjUVZW1uxyLi4u9bbV+fPn26ni1uvVq1e9Wnfs2NHkXGvbfgCwZ8+eev0lJycDAB588MEml7Hk7VdWVoZ+/fph6dKljb7/7rvv4sMPP8Ty5cuxa9cudOjQAXFxcaisrGxyna39OW4TQa22cuVK4erq2mB8w4YNQqlUitzcXOPYsmXLhIuLi6iqqmp0XcePHxcAxJ49e4xjv/zyi1AoFCIrK8vktd8KrVYrvL29xeuvv97svOHDh4s5c+a0T1G3KDg4WLz//vstnl9UVCTUarVYu3atcezEiRMCgEhLSzNDhab37rvvitDQ0GbnWOo2HDx4sJg1a5bxtV6vFwEBASIpKanR+X/729/EuHHj6o1FRUWJJ5980qx1mkp+fr4AILZv397knKZ+H1mixMRE0a9fvxbPt/btJ4QQc+bMEWFhYcJgMDT6vjVtPwDihx9+ML42GAzCz89PvPfee8axoqIiodFoxDfffNPkelr7c9wW3HNjQmlpaejTpw98fX2NY3FxcSgpKcGxY8eaXMbNza3enpCYmBgolUrs2rXL7DW3xk8//YQrV65g2rRpN5379ddfw8vLC71798bcuXNRXl7eDhW2zdtvvw1PT0/0798f7733XrOHEfft2wedToeYmBjjWI8ePdC5c2ekpaW1R7m3rLi4GB4eHjedZ2nbUKvVYt++ffW+9kqlEjExMU1+7dPS0urNB2p+Jq1pWwG46fa6du0agoODERQUhHvvvbfJ3zeW4MyZMwgICECXLl0wefJkXLhwocm51r79tFotvvrqKzz22GPNPqjZmrbf9TIyMpCbm1tvG7m6uiIqKqrJbdSWn+O2sLkHZ5pTbm5uvWADwPg6Nze3yWV8fHzqjdnZ2cHDw6PJZaTy+eefIy4u7qYPHn344YcRHByMgIAAHD58GC+99BJOnTqF77//vp0qbbnZs2fjtttug4eHB1JTUzF37lzk5ORg0aJFjc7Pzc2Fvb19g3OufH19LW57NSY9PR1LlizBwoULm51nidvw8uXL0Ov1jf6MnTx5stFlmvqZtIZtZTAY8Mwzz+D2229H7969m5wXHh6OFStWoG/fviguLsbChQsxZMgQHDt2zOwPCW6tqKgorFq1CuHh4cjJycGCBQswbNgwHD16FB07dmww35q3HwCsX78eRUVFePTRR5ucY03b70Z126E126gtP8dtYfPh5uWXX8Y777zT7JwTJ07c9KQ3a9KWni9duoRNmzbhu+++u+n6rz9fqE+fPvD398eoUaNw9uxZhIWFtb3wFmpNfwkJCcaxvn37wt7eHk8++SSSkpIs+vbobdmGWVlZuOuuu/Dggw9ixowZzS4r9TYkYNasWTh69Giz56QAQHR0NKKjo42vhwwZgoiICHz88cf417/+Ze4yW2XMmDHGv/ft2xdRUVEIDg7Gd999h+nTp0tYmXl8/vnnGDNmDAICApqcY03bz5rYfLh57rnnmk3VANClS5cWrcvPz6/BGd91V9H4+fk1ucyNJ1FVV1ejsLCwyWVuVVt6XrlyJTw9PXHPPfe0+vNFRUUBqNlr0B7/MN7KNo2KikJ1dTUyMzMRHh7e4H0/Pz9otVoUFRXV23uTl5dntu3VmNb2mJ2djZEjR2LIkCH45JNPWv352nsbNsbLywsqlarBlWnNfe39/PxaNd9SxMfHGy8uaO3/vavVavTv3x/p6elmqs503Nzc0L179yZrtdbtBwDnz5/Hr7/+2uq9nda0/eq2Q15eHvz9/Y3jeXl5iIyMbHSZtvwct4nJzt6xITc7oTgvL8849vHHHwsXFxdRWVnZ6LrqTijeu3evcWzTpk0WdUKxwWAQoaGh4rnnnmvT8jt27BAAxKFDh0xcmel99dVXQqlUisLCwkbfrzuheN26dcaxkydPWvQJxZcuXRLdunUTDz30kKiurm7TOixlGw4ePFjEx8cbX+v1ehEYGNjsCcV33313vbHo6GiLPSHVYDCIWbNmiYCAAHH69Ok2raO6ulqEh4eLZ5991sTVmV5paalwd3cXH3zwQaPvW9v2u15iYqLw8/MTOp2uVctZ8vZDEycUL1y40DhWXFzcohOKW/Nz3KZaTbYmG3D+/Hlx4MABsWDBAuHs7CwOHDggDhw4IEpLS4UQNd+UvXv3FqNHjxYHDx4UGzduFN7e3mLu3LnGdezatUuEh4eLS5cuGcfuuusu0b9/f7Fr1y6xY8cO0a1bNzFp0qR2768pv/76qwAgTpw40eC9S5cuifDwcLFr1y4hhBDp6eni9ddfF3v37hUZGRnixx9/FF26dBF33HFHe5d9U6mpqeL9998XBw8eFGfPnhVfffWV8Pb2FlOmTDHOubE/IYT4xz/+ITp37iy2bt0q9u7dK6Kjo0V0dLQULdzUpUuXRNeuXcWoUaPEpUuXRE5OjvHP9XOsZRt+++23QqPRiFWrVonjx4+LJ554Qri5uRmvUHzkkUfEyy+/bJz/xx9/CDs7O7Fw4UJx4sQJkZiYKNRqtThy5IhULTTrqaeeEq6uriIlJaXetiovLzfOubHHBQsWiE2bNomzZ8+Kffv2iYceekg4ODiIY8eOSdFCs5577jmRkpIiMjIyxB9//CFiYmKEl5eXyM/PF0JY//aro9frRefOncVLL73U4D1r236lpaXGf+sAiEWLFokDBw6I8+fPCyGEePvtt4Wbm5v48ccfxeHDh8W9994rQkNDRUVFhXEdd955p1iyZInx9c1+jk2B4aYVpk6dKgA0+LNt2zbjnMzMTDFmzBjh6OgovLy8xHPPPVcvuW/btk0AEBkZGcaxK1euiEmTJglnZ2fh4uIipk2bZgxMlmDSpEliyJAhjb6XkZFR72tw4cIFcccddwgPDw+h0WhE165dxQsvvCCKi4vbseKW2bdvn4iKihKurq7CwcFBREREiLfeeqveXrYb+xNCiIqKCjFz5kzh7u4unJycxH333VcvLFiSlStXNvo9e/1OW2vbhkuWLBGdO3cW9vb2YvDgwWLnzp3G94YPHy6mTp1ab/53330nunfvLuzt7UWvXr3Ezz//3M4Vt1xT22rlypXGOTf2+Mwzzxi/Hr6+vmLs2LFi//797V98C0ycOFH4+/sLe3t7ERgYKCZOnCjS09ON71v79quzadMmAUCcOnWqwXvWtv3q/s268U9dDwaDQbz22mvC19dXaDQaMWrUqAZ9BwcHi8TExHpjzf0cm4JCCCFMd5CLiIiISFq8zw0RERHJCsMNERERyQrDDREREckKww0RERHJCsMNERERyQrDDREREckKww0RERHJCsMNERERyQrDDREREckKww0RERHJCsMNEVm9goIC+Pn54a233jKOpaamwt7eHlu2bJGwMiKSAp8tRUSysGHDBkyYMAGpqakIDw9HZGQk7r33XixatEjq0oionTHcEJFszJo1C7/++isGDhyII0eOYM+ePdBoNFKXRUTtjOGGiGSjoqICvXv3xsWLF7Fv3z706dNH6pKISAI854aIZOPs2bPIzs6GwWBAZmam1OUQkUS454aIZEGr1WLw4MGIjIxEeHg4Fi9ejCNHjsDHx0fq0oionTHcEJEsvPDCC1i3bh0OHToEZ2dnDB8+HK6urvjf//4ndWlE1M54WIqIrF5KSgoWL16ML7/8Ei4uLlAqlfjyyy/x+++/Y9myZVKXR0TtjHtuiIiISFa454aIiIhkheGGiIiIZIXhhoiIiGSF4YaIiIhkheGGiIiIZIXhhoiIiGSF4YaIiIhkheGGiIiIZIXhhoiIiGSF4YaIiIhkheGGiIiIZIXhhoiIiGTl/wNF5QoUWDWzNwAAAABJRU5ErkJggg==", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Range: (np.float64(4.5397868702434395e-05), np.float64(0.9999546021312976)) | At x=0: 0.5\n" + ] + } + ], + "source": [ + "\n", + "def sigmoid(x):\n", + " return --------\n", + "\n", + "x = np.linspace(-10, 10, 200)\n", + "y = --------(x)\n", + "\n", + "plt.plot(x, y)\n", + "plt.title(\"Sigmoid Function\")\n", + "plt.xlabel(\"x\")\n", + "plt.ylabel(\"σ(x)\")\n", + "plt.grid(True)\n", + "plt.show()\n", + "\n", + "print(\"Range:\", (y.min(), y.max()), \"| At x=0:\", sigmoid(0))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DUONuiAxilL0" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# 4) This is also a sigmoid function, which is a derivative of the exp function, and the output it returns is between 0 and 1." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "1FjRt_31fXsx" + }, + "source": [ + "## 5. Derivatives of Famous Functions" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "vyyGBuHRfZ4n", + "outputId": "7a89fce7-f973-46bc-dca3-c452f1a34561" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = np.linspace(-3, 3, 400)\n", + "plt.--------(x, x**2, label=\"x²\")\n", + "plt.plot(x, --------, '--', label=\"d/dx x²\")\n", + "\n", + "x = np.linspace(0, 3, 400)\n", + "plt.plot(x, np.exp(x), label=\"exp(x)\")\n", + "plt.plot(x, --------, '--', label=\"d/dx exp(x)\")\n", + "\n", + "plt.plot(x, np.log(x+0.1), label=\"log(x)\")\n", + "plt.plot(x, --------, '--', label=\"d/dx log(x)\")\n", + "\n", + "plt.legend()\n", + "plt.title(\"Functions and Their Derivatives\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DURup9u5il4-" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# 5) Here are the graphs of several functions and their derivatives. For example, for x to the power of 2, 2x is a straight line." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "w3QIKTZQf1ZK" + }, + "source": [ + "## 6. Gradient of Selected Functions" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Eeudgf3-f0Ie", + "outputId": "aeffb463-3230-4b98-8131-623b4fbf624c" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Function: f(x, y) = x**2*y + sin(y)\n", + "Partial derivative w.r.t x (∂f/∂x): 2*x*y\n", + "Partial derivative w.r.t y (∂f/∂y): x**2 + cos(y)\n" + ] + } + ], + "source": [ + "# search and learn more about sumpy\n", + "import sympy as sp\n", + "\n", + "# Define symbolic variables\n", + "x, y = sp.symbols('x y')\n", + "\n", + "# Define the function\n", + "f = x**2 * y + sp.sin(y)\n", + "\n", + "# Compute partial derivatives\n", + "df_dx = sp.diff(f, x)\n", + "df_dy = sp.diff(f, y)\n", + "\n", + "print(\"Function: f(x, y) =\", f)\n", + "print(\"Partial derivative w.r.t x (∂f/∂x):\", df_dx)\n", + "print(\"Partial derivative w.r.t y (∂f/∂y):\", df_dy)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wDlIJkmYimg9" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Here, using the sympy package, the partial derivatives of the function with respect to the variables x and y are calculated. These derivatives are actually the components of the gradient of the function." + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "name": "python", + "version": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.3/AI-DS_Nexus__A0_3_Javid_Mohammadi_a60d6f.ipynb b/a0.1/a0.3/AI-DS_Nexus__A0_3_Javid_Mohammadi_a60d6f.ipynb new file mode 100644 index 0000000..009f09e --- /dev/null +++ b/a0.1/a0.3/AI-DS_Nexus__A0_3_Javid_Mohammadi_a60d6f.ipynb @@ -0,0 +1,637 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 3 — Functions, Derivatives & Gradients\n", + "This assignment explores the mathematical foundation of machine learning: functions and their derivatives. You’ll visualize, analyze, and code up essential concepts every ML practitioner uses.\n", + "\n", + "\n", + "**👀🔎 What do you see?**\n", + "\n", + "Look at the snippet codes and:\n", + "\n", + "* Describe any patterns, surprises, or connections you notice.\n", + "\n", + "* Write a few sentences about your observations! 📝✨\n" + ], + "metadata": { + "id": "7wR0aAR-evto" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1. Log and Exp: Proving Inverse Relationship\n" + ], + "metadata": { + "id": "cCb1hk3xe0E6" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "KOxJ9f-3eu5F", + "outputId": "83e970f7-1813-421b-def4-b781bc9bd964" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "x\tlog(exp(x))\texp(log(x))\n", + "1.00\t1.00\t\t1.00\n", + "2.00\t2.00\t\t2.00\n", + "10.00\t10.00\t\t10.00\n", + "2.72\t2.72\t\t2.72\n", + "\n", + "log(exp(y)) for 0 and negative values:\n", + "[ 0. -1. 5.]\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "\n", + "# Show log(exp(x)) == x and exp(log(x)) == x for several values\n", + "x_vals = np.array([1, 2, 10, np.e])\n", + "print(\"x\\tlog(exp(x))\\texp(log(x))\")\n", + "for x in x_vals:\n", + " print(f\"{x:.2f}\\t{np.log(np.exp(x)):.2f}\\t\\t{np.exp(np.log(x)):.2f}\")\n", + "\n", + "# Edge case: try negative and zero values (show error/NaN for log)\n", + "y_vals = np.array([0, -1, 5])\n", + "print(\"\\nlog(exp(y)) for 0 and negative values:\")\n", + "print(np.log(np.exp(y_vals)))\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:**\n", + "We want to check whether log(exp(x)) is equal to exp(log(x)).\n", + "\n", + "First we created a list of positive numbers. \n", + "Then, we used a loop to test each number in the list and printed the results in columns with two decimal places, using Numpy's exp() and log() functions. \n", + "As the output shows, the identity works well for positive numbers.\n", + "\n", + "Next, we tested zero and negative numbers. However, since the logarithm function cannot take zero or negative values as input, we couldn't evaluate exp(log(x)) for those cases. \n", + "\n", + "On the other hand, log(exp(x)) is defined for all real numbers, including zero and negatives, and it simply returns x." + ], + "metadata": { + "id": "lVZufz08g1hI" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 2. Plotting Sine Functions Variations\n", + "\n" + ], + "metadata": { + "id": "mOAqtnk6fDH6" + } + }, + { + "cell_type": "code", + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "x = np.linspace(-2*np.pi, 2*np.pi, 1000)\n", + "\n", + "# look at the description of each function and call the proper function from numpy\n", + "plt.plot(x, np.sin(x), label='sin(x)')\n", + "plt.plot(x, np.sin(2*x), label='sin(2x)')\n", + "plt.plot(x, np.sin(x / 2), label='sin(x/2)')\n", + "plt.plot(x, np.sin(x) ** 2, label='sin²(x)')\n", + "plt.legend()\n", + "plt.title(\"Variations of Sine Functions\")\n", + "plt.show()\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "DoWdSehie66R", + "outputId": "00adb95f-a91d-4214-b6bb-f62dd044a776" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:**\n", + "The function sin(x) (blue line) starts at (0,0), rises to 1, falls to -1, and then returns to zero, forming a smooth and cyclic wave as x increases. \n", + "The function sin(2x) (orange line) oscillates twice as fast as sin(x), completing more cycles over the same interval. \n", + "In contrast, sin(x/2) (green line) oscillates more slowly, completing only half as many cycles as sin(x). \n", + "The function sin(x**2) (red line) behaves differently -- its oscillations become more rapid as x increase, and it doesn't follow a regular period like the others." + ], + "metadata": { + "id": "dMVcqrfihf0P" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 3. Subplots: Trig, Inverse, Exp, and Log" + ], + "metadata": { + "id": "4-5A1OkdfHXq" + } + }, + { + "cell_type": "code", + "source": [ + "x = np.linspace(-1, 1, 400)\n", + "x2 = np.linspace(0.1, 2, 400) # For log and exp\n", + "\n", + "# based on the number of subplots what should be the dimensions in the following line?\n", + "fig, axs = plt.subplots(2, 4, figsize=(16, 8))\n", + "axs[0,0].plot(x, np.sin(x)); axs[0,0].set_title(\"sin(x)\")\n", + "axs[0,1].plot(x, np.cos(x)); axs[0,1].set_title(\"cos(x)\")\n", + "axs[0,2].plot(x, np.tan(x)); axs[0,2].set_title(\"tan(x)\")\n", + "axs[0,3].plot(x, np.arcsin(x)); axs[0,3].set_title(\"arcsin(x)\")\n", + "axs[1,0].plot(x, np.arccos(x)); axs[1,0].set_title(\"arccos(x)\")\n", + "axs[1,1].plot(x, np.arctan(x)); axs[1,1].set_title(\"arctan(x)\")\n", + "axs[1,2].plot(x2, np.exp(x2)); axs[1,2].set_title(\"exp(x)\")\n", + "axs[1,3].plot(x2, np.log(x2)); axs[1,3].set_title(\"log(x)\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 603 + }, + "id": "DxocsCu6fGOR", + "outputId": "f655fb86-6b5c-4748-f567-25eb7117b811" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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+ }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:**\n", + "1. sin(x) oscillates smoothly in a wave-like pattern. Over the range shown, it rises from x in range (-1, 1), curving smoothly through zero. \n", + "\n", + "2. cos(x) also ocillates, like sine, but starts at its maximum (1).\n", + "Its graph has a dome-like shape from x in range (-1, 1). \n", + "\n", + "3. tan(x) increases from -infinity to +infinity between vertical asymptotes.\n", + "It rises from x in range (-1, 1) near the center(around x = 0), but its values become large very quickly. \n", + "\n", + "4. arcsin(x), defined only from -1 <= x <= 1, is increasing.\n", + "It rises from -pi/2 to +pi/2 as x goes from -1 to 1. \n", + "\n", + "5. arccos(x), also defined for -1 <= x <= 1, is decreasing.\n", + "It falls from pi to 0 as x increases from -1 to 1. \n", + "\n", + "6. arctan(x) is increasing from all real x.\n", + "It smoothly rises from -pi/2 to +pi/2, flattening out at the extremes. \n", + "\n", + "7. exp(x) rises rapidly as x increases.\n", + "Over the given range (0.1 to 2), it grows from a small number ~1.1 to over 7. \n", + "\n", + "8. log(x) grow slowly and only exists for x > 0.\n", + "Over the given range, it increases, but less steeply than any other function in the list." + ], + "metadata": { + "id": "thpsEzFVikPh" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 4. Features of the Sigmoid Function" + ], + "metadata": { + "id": "WAidrU51fMqB" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ], + "metadata": { + "id": "1ze1bxhDja_X" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "\n", + "def sigmoid(x):\n", + " return 1 / (1 + np.exp(-x))\n", + "\n", + "x = np.linspace(-10, 10, 200)\n", + "y = sigmoid(x)\n", + "\n", + "plt.plot(x, y)\n", + "plt.title(\"Sigmoid Function\")\n", + "plt.xlabel(\"x\")\n", + "plt.ylabel(\"σ(x)\")\n", + "plt.grid(True)\n", + "plt.show()\n", + "\n", + "print(\"Range:\", (y.min(), y.max()), \"| At x=0:\", sigmoid(0))\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 490 + }, + "id": "lehJV_vNfLXx", + "outputId": "2318a9ae-40df-418b-f250-d18a2d33d581" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Range: (np.float64(4.5397868702434395e-05), np.float64(0.9999546021312976)) | At x=0: 0.5\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:**\n", + "The sigmoid function smoothly rises from values near 0 to values near 1 as x increases.\n", + "It most significant change (steepest slope) occurs in the range between -5 and 5." + ], + "metadata": { + "id": "DUONuiAxilL0" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 5. Derivatives of Famous Functions" + ], + "metadata": { + "id": "1FjRt_31fXsx" + } + }, + { + "cell_type": "markdown", + "source": [ + "### I have modified some cells.\n", + "Let's explore how a function's behavior is reflected in its derivative graph, using some examples." + ], + "metadata": { + "id": "Z_syhyhVWZNc" + } + }, + { + "cell_type": "markdown", + "source": [ + "####Graph 1" + ], + "metadata": { + "id": "8Di70HHUYNKA" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ], + "metadata": { + "id": "dNwUBPho6wds" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "x = np.linspace(-3, 3, 400)\n", + "plt.plot(x, x**2, label=\"x²\")\n", + "plt.plot(x, 2*x, '--', label=\"d/dx x²\")\n", + "\n", + "plt.legend()\n", + "plt.title(\"Functions and Their Derivatives\")\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "Xk2CyEtyWRi2", + "outputId": "9a67659a-ad57-497f-9331-19340ef39263" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "##### 👀🔎 What do you see?\n", + "The function x**2 is a symmetric parabola, curving upward with increasing steepness as x moves away from zero in either direction. \n", + "Its derivative, 2x, is a straight line that passses through the origin. \n", + "At x = 0, the slope is 0 --> the parabola has a minimum point. \n", + "As x increases, the derivative grows --> the funciton is steepening. \n", + "\n", + "The derivative shows how fast the curve bends -- steeper on both sides, but the direction of the slope (positive or negative) changes with the sign of x.\n", + "\n", + "**In other words:** \n", + "When the **derivative f'(x) = 2x** is **-6**, the **x^2 curve** is **bending quickly downward** -- it's steep and heading into negative values. \n", + "When the derivative is around **-2**, the curve still goes down but **less steeply**. \n", + "On the other side, when the derivative is **+6**, the curve is bending **quickly upward** -- much faster than when it's just **+2**. \n", + "\n", + "So, **the larger the value (positive or negative) of the derivative**, **the steeper** the x^2 curve is at that point." + ], + "metadata": { + "id": "05lAbPupXz7H" + } + }, + { + "cell_type": "markdown", + "source": [ + "####Graph 2" + ], + "metadata": { + "id": "HNKykRbWYWHd" + } + }, + { + "cell_type": "code", + "source": [ + "x = np.linspace(0, 3, 400)\n", + "plt.plot(x, np.exp(x), label=\"exp(x)\")\n", + "plt.plot(x, np.exp(x), '--', label=\"d/dx exp(x)\")\n", + "\n", + "plt.legend()\n", + "plt.title(\"Functions and Their Derivatives\")\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "OkEFlamZWRV5", + "outputId": "5a9fa1ac-cc6b-46d9-ce14-3ecbdd8a4516" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "##### 👀🔎 What do you see?\n", + "The exponential function grows faster and faster as x increases. \n", + "Its derivative is identical. (d/dx e**x = e^x)\n", + "\n", + "The function's value is its rate of change -- the faster it grows, the faster\n", + "it continues to grow. \n", + "This is a unique and fundamental property of the exponential function." + ], + "metadata": { + "id": "D2IF5JsQYZQI" + } + }, + { + "cell_type": "markdown", + "source": [ + "####Graph 3" + ], + "metadata": { + "id": "xwCuxiEXYb_t" + } + }, + { + "cell_type": "code", + "source": [ + "x = np.linspace(0, 3, 400)\n", + "\n", + "plt.plot(x, np.log(x+0.1), label=\"log(x)\")\n", + "plt.plot(x, 1 / (x+0.1), '--', label=\"d/dx log(x)\")\n", + "\n", + "plt.legend()\n", + "plt.title(\"Functions and Their Derivatives\")\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "vyyGBuHRfZ4n", + "outputId": "a33172c5-884e-4d38-da3c-e2aa4712f8aa" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "##### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:**\n", + "(Here, log(x+0.1) is used to avoid division by zero at x = 0)\n", + "\n", + "The logarithmic function rises **quickly at small values of x**, but it growth **slows down** as x increases.\n", + "\n", + "The drivative 1/x reflects this: \n", + "It is **large** near zero --> rapid change \n", + "It **decreases** toward zero --> the function flattens out\n", + "\n", + "The derivative reveals the **diminishing returns** of logarithmic growth -- rapid early increase follow by slow progress. \n", + "**diminishing returns**: you get less and less benefit (return) from putting in more.\n", + "\n", + "Again, The derivative tells us **how fast** the function is changing." + ], + "metadata": { + "id": "DURup9u5il4-" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 6. Gradient of Selected Functions" + ], + "metadata": { + "id": "w3QIKTZQf1ZK" + } + }, + { + "cell_type": "code", + "source": [ + "# search and learn more about sumpy\n", + "import sympy as sp\n", + "\n", + "# Define symbolic variables\n", + "x, y = sp.symbols('x y')\n", + "\n", + "# Define the function\n", + "f = x**2 * y + sp.sin(y)\n", + "\n", + "# Compute partial derivatives\n", + "df_dx = sp.diff(f, x)\n", + "df_dy = sp.diff(f, y)\n", + "\n", + "print(\"Function: f(x, y) =\", f)\n", + "print(\"Partial derivative w.r.t x (∂f/∂x):\", df_dx)\n", + "print(\"Partial derivative w.r.t y (∂f/∂y):\", df_dy)\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Eeudgf3-f0Ie", + "outputId": "9f8a5ba4-c526-4902-ab55-3be15f86bd20" + }, + "execution_count": 8, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Function: f(x, y) = x**2*y + sin(y)\n", + "Partial derivative w.r.t x (∂f/∂x): 2*x*y\n", + "Partial derivative w.r.t y (∂f/∂y): x**2 + cos(y)\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:**\n", + "Here, we use the sympy module to calculate the gradient of a function -- that is, the partial derivatives with respect to each variable x and y.\n", + "\n", + "Function:\n", + "f(x,y) = x^2*y + sin(y)\n", + "\n", + "Partial derivative with respect to x: \n", + "When differentiating with respect to x, we treat y as a **constant**. \n", + "The derivative of x^2*y is 2xy \n", + "The derivative of sin(y) is 0 (since it contains no x) \n", + "\n", + "So:\n", + "∂f/∂x = 2xy\n", + "\n", + "Partial derivative with respect to y: \n", + "When differentiating with respect to y, we treat x as a constant. \n", + "The derivative of x^2*y is x^2 \n", + "The derivative of sin(y) is cos(y)\n", + "\n", + "So:\n", + "∂f/∂y = x^2 + cos(y)\n", + "\n", + " Together, the gradient is:(vector)\n", + " ∇f(x,y) = [2xy, x^2 + cos(y)]" + ], + "metadata": { + "id": "wDlIJkmYimg9" + } + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.3/AI-DS_Nexus__A0_3_Project__RezaShokr.ipynb b/a0.1/a0.3/AI-DS_Nexus__A0_3_Project__RezaShokr.ipynb new file mode 100644 index 0000000..a16656d --- /dev/null +++ b/a0.1/a0.3/AI-DS_Nexus__A0_3_Project__RezaShokr.ipynb @@ -0,0 +1,519 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "7wR0aAR-evto" + }, + "source": [ + "# 📚 Assignment 3 — Functions, Derivatives & Gradients\n", + "This assignment explores the mathematical foundation of machine learning: functions and their derivatives. You’ll visualize, analyze, and code up essential concepts every ML practitioner uses.\n", + "\n", + "\n", + "**👀🔎 What do you see?**\n", + "\n", + "Look at the snippet codes and:\n", + "\n", + "* Describe any patterns, surprises, or connections you notice.\n", + "\n", + "* Write a few sentences about your observations! 📝✨\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "cCb1hk3xe0E6" + }, + "source": [ + "## 1. Log and Exp: Proving Inverse Relationship\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "KOxJ9f-3eu5F", + "outputId": "31d8ce39-8670-4dc4-9053-6c6aaf10d1ff" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "x\tlog(exp(x))\texp(log(x))\n", + "1.00\t1.00\t\t1.00\n", + "2.00\t2.00\t\t2.00\n", + "3.00\t3.00\t\t3.00\n", + "2.72\t2.72\t\t2.72\n", + "\n", + "log(exp(y)) for 0 and negative values:\n", + "[ 0. -1. 5.]\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "\n", + "# Show log(exp(x)) == x and exp(log(x)) == x for several values\n", + "x_vals = np.array([1 , 2 , 3 , np.e])\n", + "\n", + "print(\"x\\tlog(exp(x))\\texp(log(x))\")\n", + "for x in x_vals:\n", + " print(f\"{x:.2f}\\t{np.log(np.exp(x)):.2f}\\t\\t{np.exp(np.log(x)):.2f}\")\n", + "\n", + "# Edge case: try negative and zero values (show error/NaN for log)\n", + "y_vals = np.array([0, -1, 5])\n", + "print(\"\\nlog(exp(y)) for 0 and negative values:\")\n", + "print(np.log(np.exp(y_vals)))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "x\tlog(exp(x))\texp(log(x))\n", + "1.00\t1.00\t\t1.00\n", + "2.00\t2.00\t\t2.00\n", + "3.00\t3.00\t\t3.00\n", + "2.72\t2.72\t\t2.72\n", + "\n", + "log(exp(y)) for 0 and negative values:\n", + "[ 0. -1. 5.]\n" + ] + } + ], + "source": [ + "import numpy as np \n", + "\n", + "# مقادیر مختلف برای بررسی رابطه‌های لگاریتم و نمایی\n", + "x_vals = np.array([1, 2, 3, np.e]) # مقدار جای‌خالی با عدد 3 پر شده\n", + "\n", + "print(\"x\\tlog(exp(x))\\texp(log(x))\")\n", + "\n", + "for x in x_vals: # جای‌خالی دوم باید x_vals باشه\n", + " print(f\"{x:.2f}\\t{np.log(np.exp(x)):.2f}\\t\\t{np.exp(np.log(x)):.2f}\")\n", + "\n", + "# حالت‌های خاص مثل صفر و اعداد منفی\n", + "y_vals = np.array([0, -1, 5])\n", + "print(\"\\nlog(exp(y)) for 0 and negative values:\")\n", + "print(np.log(np.exp(y_vals))) # log(exp(0)) = 0، log(exp(-1)) خطا نمی‌ده ولی مقدار منفی می‌ده" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "lVZufz08g1hI" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "mOAqtnk6fDH6" + }, + "source": [ + "## 2. Plotting Sine Functions Variations\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "DoWdSehie66R", + "outputId": "a83a3ade-6ca7-425c-9fa8-59ca9c343d9a" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "x = np.linspace(-2*np.pi, 2*np.pi, 500)\n", + "\n", + "# look at the description of each function and call the proper function from numpy\n", + "plt.plot(x, np.sin(x), label='sin(x)')\n", + "plt.plot(x, np.sin(2*x), label='sin(2x)')\n", + "plt.plot(x, np.sin(x/2), label='sin(x/2)')\n", + "plt.plot(x, np.sin(x)**2, label='sin²(x)')\n", + "plt.legend()\n", + "plt.title(\"Variations of Sine Functions\")\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "dMVcqrfihf0P" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "4-5A1OkdfHXq" + }, + "source": [ + "## 3. Subplots: Trig, Inverse, Exp, and Log" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 807 + }, + "id": "DxocsCu6fGOR", + "outputId": "5864a5cc-5776-45bd-99f7-028c64e301af" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = np.linspace(-1, 1, 400)\n", + "x2 = np.linspace(0.1, 2, 400) # For log and exp\n", + "\n", + "# based on the number of subplots what should be the dimensions in the following line?\n", + "fig, axs = plt.subplots(2 , 4 , figsize=(16, 8))\n", + "axs[0,0].plot(x, np.sin(x)); axs[0,0].set_title(\"sin(x)\")\n", + "axs[0,1].plot(x, np.cos(x)); axs[0,1].set_title(\"cos(x)\")\n", + "axs[0,2].plot(x, np.tan(x)); axs[0,2].set_title(\"tan(x)\")\n", + "axs[0,3].plot(x, np.arcsin(x)); axs[0,3].set_title(\"arcsin(x)\")\n", + "axs[1,0].plot(x, np.arccos(x)); axs[1,0].set_title(\"arccos(x)\")\n", + "axs[1,1].plot(x, np.arctan(x)); axs[1,1].set_title(\"arctan(x)\")\n", + "axs[1,2].plot(x2, np.exp(x2)); axs[1,2].set_title(\"exp(x)\")\n", + "axs[1,3].plot(x2, np.log(x2)); axs[1,3].set_title(\"log(x)\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "thpsEzFVikPh" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "WAidrU51fMqB" + }, + "source": [ + "## 4. Features of the Sigmoid Function" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 1 \n", + "───────\n", + " -x\n", + "1 + ℯ \n" + ] + } + ], + "source": [ + "import sympy as sym\n", + "\n", + "x = sym.Symbol('x') # تعریف متغیر نمادین x\n", + "sig = 1 / (1 + sym.exp(-x)) \n", + "\n", + "sym.pprint(sig) " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 489 + }, + "id": "lehJV_vNfLXx", + "outputId": "9cfc6ec4-9dfc-4220-a955-4d6a11fac8f3" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Range: (np.float64(4.5397868702434395e-05), np.float64(0.9999546021312976)) | At x=0: 0.5\n" + ] + } + ], + "source": [ + "\n", + "def sigmoid(x):\n", + " return 1 / (1 + np.exp(-x))\n", + "\n", + "\n", + "x = np.linspace(-10, 10, 200) # 200 num geberate between -10 , 10 \n", + "y = sigmoid(x)\n", + "\n", + "plt.plot(x, y)\n", + "plt.title(\"Sigmoid Function\")\n", + "plt.xlabel(\"x\")\n", + "plt.ylabel(\"σ(x)\")\n", + "plt.grid(True)\n", + "plt.show()\n", + "\n", + "print(\"Range:\", (y.min(), y.max()), \"| At x=0:\", sigmoid(0))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DUONuiAxilL0" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "1FjRt_31fXsx" + }, + "source": [ + "## 5. Derivatives of Famous Functions" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "vyyGBuHRfZ4n", + "outputId": "7a89fce7-f973-46bc-dca3-c452f1a34561" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = np.linspace(-3, 3, 400) # 400 number generate between -3 , 3 \n", + "\n", + "plt.plot(x, x**2, label=\"x²\")\n", + "plt.plot(x, 2*x , '--', label=\"d/dx x²\")\n", + "\n", + "x = np.linspace(0, 3, 400)\n", + "plt.plot(x, np.exp(x), label=\"exp(x)\")\n", + "plt.plot(x, np.exp(x), '--', label=\"d/dx exp(x)\")\n", + "\n", + "plt.plot(x, np.log(x + 0.1), label=\"log(x)\")\n", + "plt.plot(x, 1 / (x + 0.1) , '--', label=\"d/dx log(x)\")\n", + "\n", + "plt.legend()\n", + "plt.title(\"Functions and Their Derivatives\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# more example\n", + "import matplotlib.pyplot as plt\n", + "\n", + "x = np.linspace(0.1, 3, 400)\n", + "y = np.log(x + 0.1)\n", + "\n", + "dy = np.diff(y)\n", + "dx = np.diff(x)\n", + "derivative = dy / dx\n", + "\n", + "x_mid = (x[:-1] + x[1:]) / 2 # میانگین نقاط برای محور x مشتق\n", + "\n", + "plt.plot(x, y, label=\"log(x + 0.1)\")\n", + "plt.plot(x_mid, derivative, '--', label=\"Approx. Derivative\")\n", + "plt.legend()\n", + "plt.grid(True)\n", + "plt.title(\"Function and Its Approximate Derivative\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DURup9u5il4-" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "w3QIKTZQf1ZK" + }, + "source": [ + "## 6. Gradient of Selected Functions" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Eeudgf3-f0Ie", + "outputId": "aeffb463-3230-4b98-8131-623b4fbf624c" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Function: f(x, y) = x**2*y + sin(y)\n", + "Partial derivative w.r.t x (∂f/∂x): 2*x*y\n", + "Partial derivative w.r.t y (∂f/∂y): x**2 + cos(y)\n" + ] + } + ], + "source": [ + "# search and learn more about sumpy\n", + "import sympy as sp\n", + "\n", + "# Define symbolic variables\n", + "x, y = sp.symbols('x y')\n", + "\n", + "# Define the function\n", + "f = x**2 * y + sp.sin(y)\n", + "\n", + "# Compute partial derivatives\n", + "df_dx = sp.diff(f, x)\n", + "df_dy = sp.diff(f, y)\n", + "\n", + "print(\"Function: f(x, y) =\", f)\n", + "print(\"Partial derivative w.r.t x (∂f/∂x):\", df_dx)\n", + "print(\"Partial derivative w.r.t y (∂f/∂y):\", df_dy)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wDlIJkmYimg9" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "DsAi", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.3/AI-DS_Nexus__A0_3_Project_roohi_268383.ipynb b/a0.1/a0.3/AI-DS_Nexus__A0_3_Project_roohi_268383.ipynb new file mode 100644 index 0000000..a16656d --- /dev/null +++ b/a0.1/a0.3/AI-DS_Nexus__A0_3_Project_roohi_268383.ipynb @@ -0,0 +1,519 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "7wR0aAR-evto" + }, + "source": [ + "# 📚 Assignment 3 — Functions, Derivatives & Gradients\n", + "This assignment explores the mathematical foundation of machine learning: functions and their derivatives. You’ll visualize, analyze, and code up essential concepts every ML practitioner uses.\n", + "\n", + "\n", + "**👀🔎 What do you see?**\n", + "\n", + "Look at the snippet codes and:\n", + "\n", + "* Describe any patterns, surprises, or connections you notice.\n", + "\n", + "* Write a few sentences about your observations! 📝✨\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "cCb1hk3xe0E6" + }, + "source": [ + "## 1. Log and Exp: Proving Inverse Relationship\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "KOxJ9f-3eu5F", + "outputId": "31d8ce39-8670-4dc4-9053-6c6aaf10d1ff" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "x\tlog(exp(x))\texp(log(x))\n", + "1.00\t1.00\t\t1.00\n", + "2.00\t2.00\t\t2.00\n", + "3.00\t3.00\t\t3.00\n", + "2.72\t2.72\t\t2.72\n", + "\n", + "log(exp(y)) for 0 and negative values:\n", + "[ 0. -1. 5.]\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "\n", + "# Show log(exp(x)) == x and exp(log(x)) == x for several values\n", + "x_vals = np.array([1 , 2 , 3 , np.e])\n", + "\n", + "print(\"x\\tlog(exp(x))\\texp(log(x))\")\n", + "for x in x_vals:\n", + " print(f\"{x:.2f}\\t{np.log(np.exp(x)):.2f}\\t\\t{np.exp(np.log(x)):.2f}\")\n", + "\n", + "# Edge case: try negative and zero values (show error/NaN for log)\n", + "y_vals = np.array([0, -1, 5])\n", + "print(\"\\nlog(exp(y)) for 0 and negative values:\")\n", + "print(np.log(np.exp(y_vals)))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "x\tlog(exp(x))\texp(log(x))\n", + "1.00\t1.00\t\t1.00\n", + "2.00\t2.00\t\t2.00\n", + "3.00\t3.00\t\t3.00\n", + "2.72\t2.72\t\t2.72\n", + "\n", + "log(exp(y)) for 0 and negative values:\n", + "[ 0. -1. 5.]\n" + ] + } + ], + "source": [ + "import numpy as np \n", + "\n", + "# مقادیر مختلف برای بررسی رابطه‌های لگاریتم و نمایی\n", + "x_vals = np.array([1, 2, 3, np.e]) # مقدار جای‌خالی با عدد 3 پر شده\n", + "\n", + "print(\"x\\tlog(exp(x))\\texp(log(x))\")\n", + "\n", + "for x in x_vals: # جای‌خالی دوم باید x_vals باشه\n", + " print(f\"{x:.2f}\\t{np.log(np.exp(x)):.2f}\\t\\t{np.exp(np.log(x)):.2f}\")\n", + "\n", + "# حالت‌های خاص مثل صفر و اعداد منفی\n", + "y_vals = np.array([0, -1, 5])\n", + "print(\"\\nlog(exp(y)) for 0 and negative values:\")\n", + "print(np.log(np.exp(y_vals))) # log(exp(0)) = 0، log(exp(-1)) خطا نمی‌ده ولی مقدار منفی می‌ده" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "lVZufz08g1hI" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "mOAqtnk6fDH6" + }, + "source": [ + "## 2. Plotting Sine Functions Variations\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "DoWdSehie66R", + "outputId": "a83a3ade-6ca7-425c-9fa8-59ca9c343d9a" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "x = np.linspace(-2*np.pi, 2*np.pi, 500)\n", + "\n", + "# look at the description of each function and call the proper function from numpy\n", + "plt.plot(x, np.sin(x), label='sin(x)')\n", + "plt.plot(x, np.sin(2*x), label='sin(2x)')\n", + "plt.plot(x, np.sin(x/2), label='sin(x/2)')\n", + "plt.plot(x, np.sin(x)**2, label='sin²(x)')\n", + "plt.legend()\n", + "plt.title(\"Variations of Sine Functions\")\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "dMVcqrfihf0P" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "4-5A1OkdfHXq" + }, + "source": [ + "## 3. Subplots: Trig, Inverse, Exp, and Log" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 807 + }, + "id": "DxocsCu6fGOR", + "outputId": "5864a5cc-5776-45bd-99f7-028c64e301af" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = np.linspace(-1, 1, 400)\n", + "x2 = np.linspace(0.1, 2, 400) # For log and exp\n", + "\n", + "# based on the number of subplots what should be the dimensions in the following line?\n", + "fig, axs = plt.subplots(2 , 4 , figsize=(16, 8))\n", + "axs[0,0].plot(x, np.sin(x)); axs[0,0].set_title(\"sin(x)\")\n", + "axs[0,1].plot(x, np.cos(x)); axs[0,1].set_title(\"cos(x)\")\n", + "axs[0,2].plot(x, np.tan(x)); axs[0,2].set_title(\"tan(x)\")\n", + "axs[0,3].plot(x, np.arcsin(x)); axs[0,3].set_title(\"arcsin(x)\")\n", + "axs[1,0].plot(x, np.arccos(x)); axs[1,0].set_title(\"arccos(x)\")\n", + "axs[1,1].plot(x, np.arctan(x)); axs[1,1].set_title(\"arctan(x)\")\n", + "axs[1,2].plot(x2, np.exp(x2)); axs[1,2].set_title(\"exp(x)\")\n", + "axs[1,3].plot(x2, np.log(x2)); axs[1,3].set_title(\"log(x)\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "thpsEzFVikPh" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "WAidrU51fMqB" + }, + "source": [ + "## 4. Features of the Sigmoid Function" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 1 \n", + "───────\n", + " -x\n", + "1 + ℯ \n" + ] + } + ], + "source": [ + "import sympy as sym\n", + "\n", + "x = sym.Symbol('x') # تعریف متغیر نمادین x\n", + "sig = 1 / (1 + sym.exp(-x)) \n", + "\n", + "sym.pprint(sig) " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 489 + }, + "id": "lehJV_vNfLXx", + "outputId": "9cfc6ec4-9dfc-4220-a955-4d6a11fac8f3" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Range: (np.float64(4.5397868702434395e-05), np.float64(0.9999546021312976)) | At x=0: 0.5\n" + ] + } + ], + "source": [ + "\n", + "def sigmoid(x):\n", + " return 1 / (1 + np.exp(-x))\n", + "\n", + "\n", + "x = np.linspace(-10, 10, 200) # 200 num geberate between -10 , 10 \n", + "y = sigmoid(x)\n", + "\n", + "plt.plot(x, y)\n", + "plt.title(\"Sigmoid Function\")\n", + "plt.xlabel(\"x\")\n", + "plt.ylabel(\"σ(x)\")\n", + "plt.grid(True)\n", + "plt.show()\n", + "\n", + "print(\"Range:\", (y.min(), y.max()), \"| At x=0:\", sigmoid(0))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DUONuiAxilL0" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "1FjRt_31fXsx" + }, + "source": [ + "## 5. Derivatives of Famous Functions" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "vyyGBuHRfZ4n", + "outputId": "7a89fce7-f973-46bc-dca3-c452f1a34561" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = np.linspace(-3, 3, 400) # 400 number generate between -3 , 3 \n", + "\n", + "plt.plot(x, x**2, label=\"x²\")\n", + "plt.plot(x, 2*x , '--', label=\"d/dx x²\")\n", + "\n", + "x = np.linspace(0, 3, 400)\n", + "plt.plot(x, np.exp(x), label=\"exp(x)\")\n", + "plt.plot(x, np.exp(x), '--', label=\"d/dx exp(x)\")\n", + "\n", + "plt.plot(x, np.log(x + 0.1), label=\"log(x)\")\n", + "plt.plot(x, 1 / (x + 0.1) , '--', label=\"d/dx log(x)\")\n", + "\n", + "plt.legend()\n", + "plt.title(\"Functions and Their Derivatives\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# more example\n", + "import matplotlib.pyplot as plt\n", + "\n", + "x = np.linspace(0.1, 3, 400)\n", + "y = np.log(x + 0.1)\n", + "\n", + "dy = np.diff(y)\n", + "dx = np.diff(x)\n", + "derivative = dy / dx\n", + "\n", + "x_mid = (x[:-1] + x[1:]) / 2 # میانگین نقاط برای محور x مشتق\n", + "\n", + "plt.plot(x, y, label=\"log(x + 0.1)\")\n", + "plt.plot(x_mid, derivative, '--', label=\"Approx. Derivative\")\n", + "plt.legend()\n", + "plt.grid(True)\n", + "plt.title(\"Function and Its Approximate Derivative\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DURup9u5il4-" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "w3QIKTZQf1ZK" + }, + "source": [ + "## 6. Gradient of Selected Functions" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Eeudgf3-f0Ie", + "outputId": "aeffb463-3230-4b98-8131-623b4fbf624c" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Function: f(x, y) = x**2*y + sin(y)\n", + "Partial derivative w.r.t x (∂f/∂x): 2*x*y\n", + "Partial derivative w.r.t y (∂f/∂y): x**2 + cos(y)\n" + ] + } + ], + "source": [ + "# search and learn more about sumpy\n", + "import sympy as sp\n", + "\n", + "# Define symbolic variables\n", + "x, y = sp.symbols('x y')\n", + "\n", + "# Define the function\n", + "f = x**2 * y + sp.sin(y)\n", + "\n", + "# Compute partial derivatives\n", + "df_dx = sp.diff(f, x)\n", + "df_dy = sp.diff(f, y)\n", + "\n", + "print(\"Function: f(x, y) =\", f)\n", + "print(\"Partial derivative w.r.t x (∂f/∂x):\", df_dx)\n", + "print(\"Partial derivative w.r.t y (∂f/∂y):\", df_dy)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wDlIJkmYimg9" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "DsAi", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.3/AI-DS_Nexus__A0_3__aminran.ipynb b/a0.1/a0.3/AI-DS_Nexus__A0_3__aminran.ipynb new file mode 100644 index 0000000..238837e --- /dev/null +++ b/a0.1/a0.3/AI-DS_Nexus__A0_3__aminran.ipynb @@ -0,0 +1,416 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 3 — Functions, Derivatives & Gradients\n", + "This assignment explores the mathematical foundation of machine learning: functions and their derivatives. You’ll visualize, analyze, and code up essential concepts every ML practitioner uses.\n", + "\n", + "\n", + "**👀🔎 What do you see?**\n", + "\n", + "Look at the snippet codes and:\n", + "\n", + "* Describe any patterns, surprises, or connections you notice.\n", + "\n", + "* Write a few sentences about your observations! 📝✨\n" + ], + "metadata": { + "id": "7wR0aAR-evto" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1. Log and Exp: Proving Inverse Relationship\n" + ], + "metadata": { + "id": "cCb1hk3xe0E6" + } + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "KOxJ9f-3eu5F", + "outputId": "b141a43b-c14c-47c4-c91e-0eeee4a0f128" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "x\tlog(exp(x))\texp(log(x))\n", + "1.00\t1.00\t\t1.00\n", + "2.00\t2.00\t\t2.00\n", + "2.10\t2.10\t\t2.10\n", + "2.72\t2.72\t\t2.72\n", + "\n", + "log(exp(y)) for 0 and negative values:\n", + "[ 0. -1. 5.]\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "\n", + "# Show log(exp(x)) == x and exp(log(x)) == x for several values\n", + "x_vals = np.array([1, 2, 2.1, np.e])\n", + "print(\"x\\tlog(exp(x))\\texp(log(x))\")\n", + "for x in x_vals:\n", + " print(f\"{x:.2f}\\t{np.log(np.exp(x)):.2f}\\t\\t{np.exp(np.log(x)):.2f}\")\n", + "\n", + "# Edge case: try negative and zero values (show error/NaN for log)\n", + "y_vals = np.array([0, -1, 5])\n", + "print(\"\\nlog(exp(y)) for 0 and negative values:\")\n", + "print(np.log(np.exp(y_vals)))\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** we can replace x and ln" + ], + "metadata": { + "id": "lVZufz08g1hI" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 2. Plotting Sine Functions Variations\n", + "\n" + ], + "metadata": { + "id": "mOAqtnk6fDH6" + } + }, + { + "cell_type": "code", + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "x = np.arange(-2*np.pi, 2*np.pi, 0.1)\n", + "\n", + "# look at the description of each function and call the proper function from numpy\n", + "plt.plot(x, np.sin(x), label='sin(x)')\n", + "plt.plot(x, np.sin(2*x), label='sin(2x)')\n", + "plt.plot(x, np.sin(x/2), label='sin(x/2)')\n", + "plt.plot(x, np.sin(x)**2, label='sin²(x)')\n", + "plt.legend()\n", + "plt.title(\"Variations of Sine Functions\")\n", + "plt.show()\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "DoWdSehie66R", + "outputId": "ca241675-71b0-45b1-b52e-a84d8e650d3f" + }, + "execution_count": 4, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ], + "metadata": { + "id": "dMVcqrfihf0P" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 3. Subplots: Trig, Inverse, Exp, and Log" + ], + "metadata": { + "id": "4-5A1OkdfHXq" + } + }, + { + "cell_type": "code", + "source": [ + "x = np.arange(-1, 1, .1)\n", + "x2 = np.linspace(0.1, 2, 400) # For log and exp\n", + "\n", + "\n", + "# based on the number of subplots what should be the dimensions in the following line?\n", + "fig, axs = plt.subplots(nrows=2, ncols=4, figsize=(16, 8))\n", + "axs[0,0].plot(x, np.sin(x)); axs[0,0].set_title(\"sin(x)\")\n", + "axs[0,1].plot(x, np.cos(x)); axs[0,1].set_title(\"cos(x)\")\n", + "axs[0,2].plot(x, np.tan(x)); axs[0,2].set_title(\"tan(x)\")\n", + "axs[0,3].plot(x, np.arcsin(x)); axs[0,3].set_title(\"arcsin(x)\")\n", + "axs[1,0].plot(x, np.arccos(x)); axs[1,0].set_title(\"arccos(x)\")\n", + "axs[1,1].plot(x, np.arctan(x)); axs[1,1].set_title(\"arctan(x)\")\n", + "axs[1,2].plot(x2, np.exp(x2)); axs[1,2].set_title(\"exp(x)\")\n", + "axs[1,3].plot(x2, np.log(x2)); axs[1,3].set_title(\"log(x)\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 650 + }, + "id": "DxocsCu6fGOR", + "outputId": "9171ee88-fd88-498b-c7b5-424d8cb3c0ac" + }, + "execution_count": 10, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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+ }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ], + "metadata": { + "id": "thpsEzFVikPh" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 4. Features of the Sigmoid Function" + ], + "metadata": { + "id": "WAidrU51fMqB" + } + }, + { + "cell_type": "code", + "source": [ + "\n", + "def sigmoid(x):\n", + " return 1/(1+np.exp(-x))\n", + "\n", + "x = np.linspace(-10, 10, 200)\n", + "y = sigmoid(x)\n", + "\n", + "plt.plot(x, y)\n", + "plt.title(\"Sigmoid Function\")\n", + "plt.xlabel(\"x\")\n", + "plt.ylabel(\"σ(x)\")\n", + "plt.grid(True)\n", + "plt.show()\n", + "\n", + "print(\"Range:\", (y.min(), y.max()), \"| At x=0:\", sigmoid(0))\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 489 + }, + "id": "lehJV_vNfLXx", + "outputId": "8b8fc42b-d554-48ce-f300-0967bf244c83" + }, + "execution_count": 11, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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FFci9WoZyE4QUjZ0SjmoVHNQ1Hx3tVbWvVXBUK+GgVsHeTgm1Sgl7lQJqlbL2T+3f7Wo/Kuu/Z6dSQqVQQKkElAoFVEpF7cf6r5UKXPeeAiqFAnp9NXampWLY0KHQ2KuhUiqgUNQspwCgqG27Jmj8OaaAovbjn3Nww9j1c9BgeUBx/WuF+UKgub5H6468tIRVhRs/Pz/k5eXVG8vLy4OLi0uje20AQKPRQKPRNBhXq9Vm+8VgznVbArn3B8i/R/Zn/ayhx+JyHdILSnE2vwzpBdeQnn8NZwuu4WJhOQzNHn6p+YdXpVTAo4M9vJw18HK2h7uTPVwd1XBxtIOLgxoujuraj3++dtbYwcm+JsColJa3F0en0+GcIxDm62Lx2+9Wmfp7tDXrsqpwEx0djQ0bNtQbS05ORnR0tEQVERERABSUVuFoVjEOXyrGkawiHL5UjPzSqibnO6iVCHBzRGDtn4DaPz7OdjixfxcmjImBt4sTlBYYUMjySRpurl27hvT0dOPrjIwMHDx4EB4eHujcuTPmzp2LrKws/N///R8A4B//+Af+85//4MUXX8Rjjz2GrVu34rvvvsPPP/8sVQtERDbp0tVy7DpXiF0ZV7AroxDnrzR+PoS/qwO6+jgjzNsZYT7O6OrtjDCfDvB21jR6aESn0+HqScCjgz2DDbWZpOFm7969GDlypPF13bkxU6dOxapVq5CTk4MLFy4Y3w8NDcXPP/+MZ599Fh988AE6deqEzz77jJeBExGZWVW1HjvPFWLriTxsPZWPi4UV9d5XKIAwb2f0DXRFn06u6NvJFeF+LnDWWNUBApIJSb/rRowYUe/a+Bs1dvfhESNG4MCBA2asioiIAKBcW43Nx/Lwy9Ec/H7mMsq1f17ho1Iq0CfQFVFdPPCXLp4YGOyOjg7yPoeErAcjNRERGekNAqlnL+OH/VnYeCy3XqDx6ajBqAgfjOrhi+gwT3TgXhmyUPzOJCIiFJZpsXrXeXy18wJySyqN4509nHBvZABG9/RD70AXs15CTGQqDDdERDbsdF4pVv6Rge/3Z6Gq2gAAcHVU4+6+/rj/tkDc1tmdgYasDsMNEZENOpZdjH9vPo2tJ/ONY30CXfHY0BCM7eMPjZ1KwuqIbg3DDRGRDcm8XIZ/J5/Gfw9lAwCUCuCu3n547PZQDAjmXhqSB4YbIiIbcOVaFf6dfBrf7bmI6trbA4/vF4CE2O4I9eogcXVEpsVwQ0QkY0IIfL8/C2/8fBxXy2ueqjwy3BvPx4WjV4CrxNURmQfDDRGRTF24Uo5/rj+C389cBgD08OuIBff0QlQXT4krIzIvhhsiIpkxGARW/JGBhZtPoVJngL2dEnNGdcMTd3SBWqWUujwis2O4ISKSkfzSSjz33SHj3pohYZ54874+PK+GbArDDRGRTOw6dwWzVh/A5WtVcFAr8drdPfHw4M68AopsDsMNEZGVE0JgVWom3vz5BKoNAj38OmLJpP7o5ttR6tKIJMFwQ0RkxXR6A+b9eBTf7L4IALg3MgBv398Xjva8CR/ZLoYbIiIrda2qGjO/3o/fThdAqQBeGRuB6UNDeRiKbB7DDRGRFSos0+LxLw/gSFYxHNRKLJl0G2J7+kpdFpFFYLghIrIyxVpg8ud7kF5QBo8O9lj56CD0C3KTuiwii8FwQ0RkRfJKKvHhMRUuV5bBz8UBXz0+GF19eOIw0fUYboiIrMTla1WYsnIfLlcq0MnNAd88EY0gDyepyyKyOLxVJRGRFSgu1+Hvn+3CuctlcLMX+PKxQQw2RE3gnhsiIgtXqdNjxv/txcncUng72+OJruXo5O4odVlEFot7boiILJjBIPDcd4ewO7MQHTV2WDF1AHyYa4iaxXBDRGTB3t10Cj8fyYFapcDHUwaghx9PHia6GYYbIiILtf5AFpZvPwsAeO+BfhgS5iVxRUTWgeGGiMgCHbpYhBf/32EAwMwRYZjQP1DiioisB8MNEZGFuVqmxVNf7YO22oCYCB88Pzpc6pKIrArDDRGRBTEYBBK+O4js4kqEenXA+xMjoVTyWVFErcFwQ0RkQT7+7Ry2nSqAxk6JpQ/fho4OaqlLIrI6DDdERBbi4MUiLNx8CgAw/55e6BngInFFRNaJ4YaIyAJUaPVIWHMQeoPA3X398dCgIKlLIrJaDDdERBYg6ZcTOHe55mGYb0zoDYWC59kQtRXDDRGRxHacuYz/SzsPAHjvwb5wc7KXuCIi68ZwQ0QkoXJtNV7+vuZ+NlOigzGsm7fEFRFZP4YbIiIJ/XvzaVy6WoFAN0e8dFcPqcshkgWGGyIiiRy6WISVf2QAAN64rzc6aOwkrohIHhhuiIgkoDcI/HP9ERgEMCEyACPDfaQuiUg2GG6IiCSwevcFHM0qgYuDHV69u6fU5RDJCsMNEVE7KyzTYuGmmpv1PTc6HF7OGokrIpIXhhsionb23qaTKK7QIcLfBZOjOktdDpHsMNwQEbWjEzkl+HbPRQDA6/f2gp2Kv4aJTI0/VURE7Sjpl5MQAhjXxx+DQjykLodIlhhuiIjayfbTBfjtdAHUKgVevCtc6nKIZIvhhoioHegNAkkbTgAApkSHINizg8QVEckXww0RUTv476FsnMwthYuDHZ6+s6vU5RDJGsMNEZGZ6fQGLP71NADgyeFhfDAmkZkx3BARmdn3+y8h80o5PDvY49EhIVKXQyR7DDdERGZUVa3Hh1vSAQBPjQjj86OI2gHDDRGRGX239xKyiirg5+KAv/8lWOpyiGwCww0RkZno9AYsTzkLoGavjYNaJXFFRLaB4YaIyEx+OJCFrKIKeDlrMHFQkNTlENkMhhsiIjPQGwSW1e61eeKOUO61IWpHDDdERGbw85EcZFwug5uTGpOjeK4NUXtiuCEiMjEh/txrM21IKK+QImpnDDdERCaWevYKTuSUwFGtwpRo7rUham8MN0REJvbJb+cAAH8b2AnuHXg3YqL2xnBDRGRCp3JLsf10ARQK4LGhoVKXQ2STGG6IiEzos99r9trc1cuPT/4mkojk4Wbp0qUICQmBg4MDoqKisHv37mbnL168GOHh4XB0dERQUBCeffZZVFZWtlO1RERNu3ytCj8ezAYAPD6si8TVENkuScPNmjVrkJCQgMTEROzfvx/9+vVDXFwc8vPzG52/evVqvPzyy0hMTMSJEyfw+eefY82aNXjllVfauXIioobW7LkIrd6AfkFuGBDsLnU5RDZL0nCzaNEizJgxA9OmTUPPnj2xfPlyODk5YcWKFY3OT01Nxe23346HH34YISEhGD16NCZNmnTTvT1EROZWrTfgq53nAQBTeYUUkaQku/mCVqvFvn37MHfuXOOYUqlETEwM0tLSGl1myJAh+Oqrr7B7924MHjwY586dw4YNG/DII480+XmqqqpQVVVlfF1SUgIA0Ol00Ol0JuoGxnVe/1Fu5N4fIP8e2Z/5/HI0FznFlfDooMboCG+z1cBtaN3k3h9gvh5bsz6FEEKY9LO3UHZ2NgIDA5Gamoro6Gjj+Isvvojt27dj165djS734Ycf4vnnn4cQAtXV1fjHP/6BZcuWNfl55s+fjwULFjQYX716NZycnG69ESIiAB8eVeFsqQKjAw0Y19kgdTlEslNeXo6HH34YxcXFcHFxaXauVd02MyUlBW+99RY++ugjREVFIT09HXPmzMG//vUvvPbaa40uM3fuXCQkJBhfl5SUICgoCKNHj77pF6e1dDodkpOTERsbC7VabdJ1WwK59wfIv0f2Zx6n80pxNi0NKqUCr04aAX9XB7N9Lm5D6yb3/gDz9Vh35KUlJAs3Xl5eUKlUyMvLqzeel5cHPz+/Rpd57bXX8Mgjj+Dxxx8HAPTp0wdlZWV44okn8M9//hNKZcNTiDQaDTQaTYNxtVpttm8sc67bEsi9P0D+PbI/0/puX80VUrERvujs1bFdPie3oXWTe3+A6XtszbokO6HY3t4eAwYMwJYtW4xjBoMBW7ZsqXeY6nrl5eUNAoxKVfOkXYmOrhGRjavQ6vH9gSwAwMNRnSWuhogAiQ9LJSQkYOrUqRg4cCAGDx6MxYsXo6ysDNOmTQMATJkyBYGBgUhKSgIAjB8/HosWLUL//v2Nh6Vee+01jB8/3hhyiIja0/8OZ6O0shpBHo4Y2tVL6nKICBKHm4kTJ6KgoADz5s1Dbm4uIiMjsXHjRvj6+gIALly4UG9PzauvvgqFQoFXX30VWVlZ8Pb2xvjx4/Hmm29K1QIR2bhvdl8AADw0qDOUSoXE1RARYAEnFMfHxyM+Pr7R91JSUuq9trOzQ2JiIhITE9uhMiKi5p3MLcH+C0WwUyrw4MBOUpdDRLUkf/wCEZG1WrPnIgAgJsIXPh3Nd4UUEbUOww0RURtoqw3G50hNHBQkcTVEdD2GGyKiNth6Mg+FZVr4dNRgWDeeSExkSRhuiIjaYO3eSwCA+2/rBDsVf5USWRL+RBIRtVJ+aSVSThcAAE8kJrJADDdERK30w/4s6A0Ct3V2Q5i3s9TlENENGG6IiFrph9o7Ej8wgCcSE1kihhsiolY4lVuKk7mlUKsUGNfHX+pyiKgRDDdERK3w06GavTYjwn3g6iTvBx8SWSuGGyKiFhJC4KdDNfe2uadfgMTVEFFTGG6IiFrowMUiXCysgJO9CjERvlKXQ0RNYLghImqhn2rvSBzXyw+O9iqJqyGipjDcEBG1QLXegP8d5iEpImvAcENE1AJp567g8jUt3J3UGMrHLRBZNIYbIqIWqHtI5ri+/lDzcQtEFo0/oUREN1Gp02PT0VwAwD39AiWuhohuhuGGiOgmUk7lo7SqGgGuDhgY7C51OUR0Eww3REQ3UXdIany/ACiVComrIaKbYbghImpGaaUOW07mAwDuieRVUkTWgOGGiKgZW07kQ1ttQJh3B/T0d5G6HCJqAYYbIqJmbKw9kXhsH38oFDwkRWQNGG6IiJpQodUj5XTNIam4Xn4SV0NELcVwQ0TUhO2nC1CpM6CTuyN6BfCQFJG1YLghImrCpmM1h6Tu6uXHQ1JEVoThhoioEdpqA349kQcAuKs3D0kRWROGGyKiRqSdu4LSymp4d9Tgts68cR+RNWG4ISJqxMajOQCAuF6+vHEfkZVhuCEiuoHeILD5WO0hqV7+EldDRK3FcENEdIO9mYW4UqaFq6MaUV08pC6HiFqJ4YaI6AYba6+SionwhVrFX5NE1oY/tURE1xFCYFPtXYl5lRSRdWK4ISK6zpGsYmQXV8LJXoVh3bykLoeI2oDhhojoOnXPkhoZ7gMHtUriaoioLRhuiIius/l4zVVSo3v5SlwJEbUVww0RUa3zV8qQnn8NdkoFRoT7SF0OEbURww0RUa0tJ2qeAD4oxAOujmqJqyGitmK4ISKqtfVkTbgZFcG9NkTWjOGGiAhAaaUOuzKuAABGRfB8GyJrxnBDRATg9zOXodMLdPHqgFCvDlKXQ0S3gOGGiAh/nm9zZw8ekiKydgw3RGTz9AaBbafqzrfhISkia8dwQ0Q27+DFIhSWadHRwQ4DQ9ylLoeIbhHDDRHZvK0na27cN7y7Nx+USSQD/CkmIptXd75NDA9JEckCww0R2bRLV8txMrcUSkXNnhsisn4MN0Rk0+pu3Dcg2B3uHewlroaITIHhhohsWt0hKV4lRSQfDDdEZLPKqqqRdrb2rsS8vw2RbDDcEJHN+iP9MrR6A4I8HNHVx1nqcojIRBhuiMhmbT9dAAAYGe4DhUIhcTVEZCoMN0Rkk4QQSDlVE25GhPMqKSI5YbghIpt0tqAMWUUVsFcp8ZcunlKXQ0QmxHBDRDap7pDU4FAPONnbSVwNEZkSww0R2aSU2gdl8pAUkfww3BCRzanQ6rEroxAA70pMJEcMN0Rkc3ZmXIG22oAAVwdeAk4kQ5KHm6VLlyIkJAQODg6IiorC7t27m51fVFSEWbNmwd/fHxqNBt27d8eGDRvaqVoikoPttVdJDecl4ESyJOlZdGvWrEFCQgKWL1+OqKgoLF68GHFxcTh16hR8fBreLVSr1SI2NhY+Pj5Yt24dAgMDcf78ebi5ubV/8URktepOJuYhKSJ5kjTcLFq0CDNmzMC0adMAAMuXL8fPP/+MFStW4OWXX24wf8WKFSgsLERqairUajUAICQkpD1LJiIrd/5KGTIul8FOqcDtXXkJOJEcSRZutFot9u3bh7lz5xrHlEolYmJikJaW1ugyP/30E6KjozFr1iz8+OOP8Pb2xsMPP4yXXnoJKpWq0WWqqqpQVVVlfF1SUgIA0Ol00Ol0JuwIxvWZer2WQu79AfLvkf0BW0/kAgBu6+wGB5X1fS24Da2b3PsDzNdja9anEEIIk372FsrOzkZgYCBSU1MRHR1tHH/xxRexfft27Nq1q8EyPXr0QGZmJiZPnoyZM2ciPT0dM2fOxOzZs5GYmNjo55k/fz4WLFjQYHz16tVwcnIyXUNEZBU+OanEsatK3N1Zj9hASX79EVEblJeX4+GHH0ZxcTFcXFyanWtVd64yGAzw8fHBJ598ApVKhQEDBiArKwvvvfdek+Fm7ty5SEhIML4uKSlBUFAQRo8efdMvTmvpdDokJycjNjbWeNhMTuTeHyD/Hm29v6pqA17euxWAAU/cPRQR/h3bv8hbZOvb0NrJvT/AfD3WHXlpCcnCjZeXF1QqFfLy8uqN5+Xlwc/Pr9Fl/P39oVar6x2CioiIQG5uLrRaLezt7Rsso9FooNFoGoyr1WqzfWOZc92WQO79AfLv0Vb725V5GRU6A7w7atAnyN2qr5Sy1W0oF3LvDzB9j61Zl2SXgtvb22PAgAHYsmWLccxgMGDLli31DlNd7/bbb0d6ejoMBoNx7PTp0/D392802BARXW/76Zq7Eg/v7m3VwYaImifpfW4SEhLw6aef4osvvsCJEyfw1FNPoayszHj11JQpU+qdcPzUU0+hsLAQc+bMwenTp/Hzzz/jrbfewqxZs6RqgYisCC8BJ7INkp5zM3HiRBQUFGDevHnIzc1FZGQkNm7cCF9fXwDAhQsXoFT+mb+CgoKwadMmPPvss+jbty8CAwMxZ84cvPTSS1K1QERWIq+kEqfzrkGhAIZ29ZK6HCIyI8lPKI6Pj0d8fHyj76WkpDQYi46Oxs6dO81cFRHJze9nLgMA+ga6wr0DD2MTyZnkj18gImoPO87UHJIa2o17bYjkjuGGiGTPYBDYkX4FADC0K8+3IZI7hhsikr2TuaW4fK0KTvYq3BbsJnU5RGRmDDdEJHs70msOSUWFekBj1/ijWohIPhhuiEj26k4mHtqNh6SIbAHDDRHJWqVOj90ZhQCAO3gyMZFNYLghIlnbm3kVVdUG+Lpo0NXHWepyiKgdMNwQkaz9Xnu+zdCufOQCka1guCEiWdtRe77NHd15SIrIVjDcEJFsXb5WhWPZJQCA2/nIBSKbwXBDRLL1R3rNXpsIfxd4OWskroaI2gvDDRHJlvGQFK+SIrIpDDdEJEtCiOvub8NwQ2RLGG6ISJbOFlxDbkkl7O2UGBTiIXU5RNSOGG6ISJbq9tpEhXrAQc1HLhDZEoYbIpIl4yEpXiVFZHPsWruAwWDA9u3b8fvvv+P8+fMoLy+Ht7c3+vfvj5iYGAQFBZmjTiKiFtNWG7Dz3BUAPN+GyBa1eM9NRUUF3njjDQQFBWHs2LH45ZdfUFRUBJVKhfT0dCQmJiI0NBRjx47Fzp07zVkzEVGzDl4qQrlWDy9ne0T4uUhdDhG1sxbvuenevTuio6Px6aefIjY2Fmq1usGc8+fPY/Xq1XjooYfwz3/+EzNmzDBpsURELbEjvWavze1dvaBU8pELRLamxeFm8+bNiIiIaHZOcHAw5s6di+effx4XLly45eKIiNrij7O1h6R4vg2RTWrxYambBZvrqdVqhIWFtakgIqJbUV4NHM2qeeTCsG7eEldDRFJo09VS8+fPh8FgaDBeXFyMSZMm3XJRRERtdbpYAYMAuvk4w8/VQepyiEgCbQo3n3/+OYYOHYpz584Zx1JSUtCnTx+cPXvWZMUREbXWqaKac2x4lRSR7WpTuDl8+DA6deqEyMhIfPrpp3jhhRcwevRoPPLII0hNTTV1jURELXaquCbc3MFDUkQ2q9X3uQEAd3d3fPfdd3jllVfw5JNPws7ODr/88gtGjRpl6vqIiFrsfGE5rlQpoFYpENWFj1wgslVtvkPxkiVL8MEHH2DSpEno0qULZs+ejUOHDpmyNiKiVqm7BLx/kBuc7Nv0/25EJANtCjd33XUXFixYgC+++AJff/01Dhw4gDvuuAN/+ctf8O6775q6RiKiFvmj7v42YZ4SV0JEUmpTuNHr9Th8+DAeeOABAICjoyOWLVuGdevW4f333zdpgURELVGtN2BnRiEAYGhXhhsiW9am/bbJycmNjo8bNw5Hjhy5pYKIiNri0KVilFZWw0kl0CuAj1wgsmUt3nMjhGjRPC8vXn5JRO1vR+1TwLu7Cqj4yAUim9bicNOrVy98++230Gq1zc47c+YMnnrqKbz99tu3XBwRUUvtSC8AAIS7tex/xIhIvlp8WGrJkiV46aWXMHPmTMTGxmLgwIEICAiAg4MDrl69iuPHj2PHjh04duwY4uPj8dRTT5mzbiIio9JKHQ5cKAIAhLsy3BDZuhaHm1GjRmHv3r3YsWMH1qxZg6+//hrnz59HRUUFvLy80L9/f0yZMgWTJ0+Gu7u7OWsmIqpn57lCVBsEQjyd4OlQInU5RCSxVp9QXPfYhYSEBISGhpqjJiKiVvn9TM0hqZpLwBluiGxdm66WmjZtGv7zn/9Aq9Xi8OHDUKlU6NmzJx577DG4uPAqBSJqX3UnEw/t6gltRobE1RCR1Np0nxshBOLj47Fw4UIUFRUhPz8fCxcuRFhYGA4cOGDqGomImnTpajnOXS6DSqlAVCgPiRNRG/fcAMDjjz+Ojz76CCqVCgCg0+kwY8YMzJkzB7/99pvJCiQiak7dXpv+QW7o6KCWuBoisgRtfrZUQkKCMdgAgFqtxosvvoi9e/eapDAiopb4ve6QVDfeY4uIarQp3Li5ueHSpUsNxi9evMhzboio3egNAn+crQk3w7p5S1wNEVmKNoWb2NhYTJ8+HevWrUNWVhYuXLiAb775Bo8//jgmT55s6hqJiBp1NKsYReU6dHSwQ79OrlKXQ0QWok3n3Hz00UeYPXs2Jk6caBzTaDSIj4/Hm2++abLiiIiasyO9Zq/NkDBP2KmU0Bn0EldERJagTeHG09MTX3/9NZYtW4Zz585BrVYjLCwMDg4Opq6PiKhJv52uub/NUB6SIqLrtPlqKQBwcXFBZGSkiUohImq5sqpq7L9wFQBwB08mJqLrtPlqKSIiKe3KuAKdXiDIwxHBnh2kLoeILAjDDRFZpbpLwHmVFBHdiOGGiKySMdx05SEpIqqP4YaIrE5OcQXS869BqQCGhDHcEFF9DDdEZHXq9tr07eQGVyc+coGI6mO4ISKrUxdueJUUETWG4YaIrIrBIPBHet3zpHgyMRE1xHBDRFbleE4JCsu06GCvQv/OblKXQ0QWiOGGiKxK3SGp6DBPqFX8FUZEDfE3AxFZld/P1Dxygfe3IaKmMNwQkdWo0OqxN7PmkQtDeTIxETWB4YaIrMaujCvQ6g0IdHNEFy8+coGIGsdwQ0RWY0ft+TZDu3pBoVBIXA0RWSqLCDdLly5FSEgIHBwcEBUVhd27d7douW+//RYKhQITJkwwb4FEZBF+qzvfpjsPSRFR0yQPN2vWrEFCQgISExOxf/9+9OvXD3FxccjPz292uczMTDz//PMYNmxYO1VKRFLKLqrA6byaRy4M5fOkiKgZkoebRYsWYcaMGZg2bRp69uyJ5cuXw8nJCStWrGhyGb1ej8mTJ2PBggXo0qVLO1ZLRFLZfrpmr03/zu5wc7KXuBoismSShhutVot9+/YhJibGOKZUKhETE4O0tLQml3v99dfh4+OD6dOnt0eZRGQBtp+qCTfDu/MScCJqnp2Un/zy5cvQ6/Xw9fWtN+7r64uTJ082usyOHTvw+eef4+DBgy36HFVVVaiqqjK+LikpAQDodDrodLq2Fd6EuvWZer2WQu79AfLv0Vr70+kN2FH7yIXbu7g3Wb+19tcacu+R/Vk/c/XYmvVJGm5aq7S0FI888gg+/fRTeHm17Jh7UlISFixY0GB88+bNcHJyMnWJAIDk5GSzrNdSyL0/QP49Wlt/6SXAtSo7dLATuHDoD1w63Px8a+uvLeTeI/uzfqbusby8vMVzJQ03Xl5eUKlUyMvLqzeel5cHPz+/BvPPnj2LzMxMjB8/3jhmMBgAAHZ2djh16hTCwsLqLTN37lwkJCQYX5eUlCAoKAijR4+Gi4uLKduBTqdDcnIyYmNjoVarTbpuSyD3/gD592it/f07+QyADIzqGYC7x/Vpcp619tcacu+R/Vk/c/VYd+SlJSQNN/b29hgwYAC2bNlivJzbYDBgy5YtiI+PbzC/R48eOHLkSL2xV199FaWlpfjggw8QFBTUYBmNRgONRtNgXK1Wm+0by5zrtgRy7w+Qf4/W1t9vZ64AAEZG+LSobmvrry3k3iP7s36m7rE165L8sFRCQgKmTp2KgQMHYvDgwVi8eDHKysowbdo0AMCUKVMQGBiIpKQkODg4oHfv3vWWd3NzA4AG40QkD/kllTieUwKFAriDz5MiohaQPNxMnDgRBQUFmDdvHnJzcxEZGYmNGzcaTzK+cOEClErJr1gnIon8VntX4j6BrvB0brgXlojoRpKHGwCIj49v9DAUAKSkpDS77KpVq0xfEBFZjJRTNTf05CXgRNRS3CVCRBZLbxD4vXbPzYhwhhsiahmGGyKyWIcuFaG4QgcXBzv06+QmdTlEZCUYbojIYqXU3pV4WDdv2Kn464qIWoa/LYjIYtU9T2o4D0kRUSsw3BCRRSos0+LwpSIAPJmYiFqH4YaILNL20/kQAujh1xG+Lg5Sl0NEVoThhogs0pYTNZeAx0T43mQmEVF9DDdEZHF0eoPxfJs7I3wkroaIrA3DDRFZnD2ZhSitrIZnB3teAk5ErcZwQ0QWZ2vtIamRPXygUiokroaIrA3DDRFZnC0na8LNqB48JEVErcdwQ0QW5VzBNWRcLoNapcAwXgJORG3AcENEFmVr7V6bv3TxhLPGIp7tS0RWhuGGiCzKryfyAAB38pAUEbURww0RWYziCh32ZF4FAIzqwfvbEFHbMNwQkcX47XQB9AaBbj7O6OzpJHU5RGSlGG6IyGJsqTskxRv3EdEtYLghIotQrTcgpfauxHzkAhHdCoYbIrIIBy4WoahcBzcnNfoHuUldDhFZMYYbIrIIdVdJjQz3gZ2Kv5qIqO34G4SILMKvx3kJOBGZBsMNEUkuPb8UZwvKYK9SYkQ470pMRLeG4YaIJLfxaC4AYGg3L3R0UEtcDRFZO4YbIpLcxmM14eauXn4SV0JEcsBwQ0SSulhYjqNZJVAqgJievASciG4dww0RSWpT7V6bqFBPeHSwl7gaIpIDhhsiklTd+TZ39eYhKSIyDYYbIpJMfkkl9l2oeVDm6F48JEVEpsFwQ0SS2Xw8D0IAkUFu8Hd1lLocIpIJhhsikkzd+TY8JEVEpsRwQ0SSKCrXIu3sFQBAHC8BJyITYrghIklsOZGPaoNAD7+OCPXqIHU5RCQjDDdEJIm6G/dxrw0RmRrDDRG1u7Kqavx2ugAAz7chItNjuCGidrf1ZD6qqg0I9nRCD7+OUpdDRDLDcENE7e6nQ9kAgLv7+kOhUEhcDRHJDcMNEbWr4nIdUk7lAwDujQyUuBoikiOGGyJqVxuP5UCnr7lKqrsvD0kRkekx3BBRu/rxYM0hqXsiAySuhIjkiuGGiNpNXkkl0s7V3LhvfF+GGyIyD4YbImo3/zucAyGAAcHuCPJwkrocIpIphhsiajc/HcwCANzLQ1JEZEYMN0TULjIul+HQpWKolAqM7eMvdTlEJGMMN0TULn6qPZH49q5e8HLWSFwNEckZww0RmZ0QAj8eqj0k1Y+HpIjIvBhuiMjsjmWX4FxBGTR2Sozu5St1OUQkcww3RGR2dY9biInwRUcHtcTVEJHcMdwQkVnpDcJ4vs14HpIionbAcENEZvX7mQLkllTCzUmNkT28pS6HiGwAww0RmdXafZcAABMiA6GxU0lcDRHZAoYbIjKbonItko/lAQAeGNBJ4mqIyFYw3BCR2fx0KBtavQER/i7oHegqdTlEZCMYbojIbNburTkk9SD32hBRO2K4ISKzOJ5dgiNZxVCrFHyWFBG1K4YbIjKLb3ZfAACM7ukHTz5ugYjaEcMNEZlcubYa6w/UPG7h4ajOEldDRLbGIsLN0qVLERISAgcHB0RFRWH37t1Nzv30008xbNgwuLu7w93dHTExMc3OJ6L2979DOSitqkawpxOiu3hKXQ4R2RjJw82aNWuQkJCAxMRE7N+/H/369UNcXBzy8/MbnZ+SkoJJkyZh27ZtSEtLQ1BQEEaPHo2srKx2rpyImrK69pDUpMGdoVQqJK6GiGyN5OFm0aJFmDFjBqZNm4aePXti+fLlcHJywooVKxqd//XXX2PmzJmIjIxEjx498Nlnn8FgMGDLli3tXDkRNeZ4dgkOXiyCWqXgvW2ISBKShhutVot9+/YhJibGOKZUKhETE4O0tLQWraO8vBw6nQ4eHh7mKpOIWuHLnZkAgNG9/ODFE4mJSAJ2Un7yy5cvQ6/Xw9fXt964r68vTp482aJ1vPTSSwgICKgXkK5XVVWFqqoq4+uSkhIAgE6ng06na2Pljatbn6nXaynk3h8g/x7N3V9RuQ4/1J5IPHlQp3b/Osp9+wHy75H9WT9z9dia9Ukabm7V22+/jW+//RYpKSlwcHBodE5SUhIWLFjQYHzz5s1wcnIyS13JyclmWa+lkHt/gPx7NFd/W7MVqNSpEOgkkH8sDRuOm+XT3JTctx8g/x7Zn/UzdY/l5eUtnitpuPHy8oJKpUJeXl698by8PPj5+TW77MKFC/H222/j119/Rd++fZucN3fuXCQkJBhfl5SUGE9CdnFxubUGbqDT6ZCcnIzY2Fio1WqTrtsSyL0/QP49mrM/vUHgvcU7AFRgZmwvjBvY/ufbyH37AfLvkf1ZP3P1WHfkpSUkDTf29vYYMGAAtmzZggkTJgCA8eTg+Pj4Jpd799138eabb2LTpk0YOHBgs59Do9FAo2l43F+tVpvtG8uc67YEcu8PkH+P5uhv+/E8XLpaAVdHNe4f0BlqtXRPAJf79gPk3yP7s36m7rE165L8sFRCQgKmTp2KgQMHYvDgwVi8eDHKysowbdo0AMCUKVMQGBiIpKQkAMA777yDefPmYfXq1QgJCUFubi4AwNnZGc7OzpL1QWTrVvyRAQB4aFAQHO2lCzZERJKHm4kTJ6KgoADz5s1Dbm4uIiMjsXHjRuNJxhcuXIBS+edFXcuWLYNWq8UDDzxQbz2JiYmYP39+e5ZORLWOZhUj9ewVqJQKTBkSInU5RGTjJA83ABAfH9/kYaiUlJR6rzMzM81fEBG1yme/nwMA3N3XH4FujhJXQ0S2TvKb+BGRdcsuqsB/D+cAAGYM6yJxNUREDDdEdItWpWZCbxCI7uKJ3oGuUpdDRMRwQ0RtV1yuw+pdNc+RmnFHqMTVEBHVYLghojZblZqJa1XV6OHXESO6+0hdDhERAIYbImqja1XVxsu/Z43syqd/E5HFYLghojb5aud5FFfo0MWrA8b28Ze6HCIiI4YbImq1Cq3eePn3UyPCoOJeGyKyIAw3RNRqX+7MxOVrWnRyd8SE/oFSl0NEVA/DDRG1yrWqaixLOQsAmD2qG9Qq/hohIsvC30pE1Cord2TgannNuTb3c68NEVkghhsiarHich0+qT3X5pnY7rDjXhsiskD8zURELfbR9nSUVtbc1+ZuXiFFRBaK4YaIWuRiYTlW/pEJAHghLpz3tSEii8VwQ0QtsnDzKWirDRgS5ok7e/BuxERkuRhuiOimDl0swo8Hs6FQAK+MjYBCwb02RGS5GG6IqFlCCPzrf8cBAPf1D+STv4nI4jHcEFGzvt+fhb3nr8LJXoUX4sKlLoeI6KYYboioSSWVOiT9chIA8PSd3eDv6ihxRUREN8dwQ0RNej/5NC5fq0IXrw6YPjRU6nKIiFqE4YaIGnX4UhG+SM0EAMy/pxfs7fjrgoisA39bEVEDOr0BL647DIMAxvcLwB3dvaUuiYioxRhuiKiBT347h5O5pXBzUiNxfE+pyyEiahWGGyKqJz2/FB9sOQMAmHd3T3g5aySuiIiodRhuiMhIW23AM2sOQlttwIhwb9zHp34TkRViuCEiow+3nMHRrBK4Oanxzl/78k7ERGSVGG6ICACwN7MQH6WkAwDeuq8PfF0cJK6IiKhtGG6ICIVlWjz9zQEYBHB//0CM7eMvdUlERG3GcENk4wwGgYTvDiKnuBJdvDrg9Qm9pS6JiOiWMNwQ2bhl288i5VQBNHZKLJ18G5w1dlKXRER0SxhuiGzY1pN5WLj5FABgwT29EOHvInFFRES3juGGyEal55dizjcHIQQwaXBnTBwUJHVJREQmwXBDZIMKy7SY8X/7UFpVjcEhHlhwTy9e9k1EssFwQ2RjtHrgya8PIONyGQLdHPHR32/jQzGJSFZ45iCRDanWG/DFGSWOXi2Gq6MaXzw2iI9XICLZ4f+uEdkIvUHg5R+O4ehVJTR2Snw+dSC6+nSUuiwiIpNjuCGyAQaDwD9/OIIfD+VAqRBY/Le+GBjiIXVZRERmwXBDJHN6g8A/1x/Bt3suQqkApnQ1ICbCR+qyiIjMhufcEMmYTm/Ac98dwk+HsqFUAO/c3xv22QelLouIyKy454ZIpsq11Xjyy3346VA27JQKLJl0GyZEBkhdFhGR2XHPDZEM5ZdUYvoXe3EkqxgaOyWW/f023NnDFzqdTurSiIjMjuGGSGaOZhXjyS/3IauoAh4d7PHplIEYEOwudVlERO2G4YZIRv7fvkt45YcjqKo2INSrA1Y+OgghXh2kLouIqF0x3BDJQLm2Ggt+Oo41ey8CAO7s4YP3J0bC1VEtcWVERO2P4YbIyh3NKsacbw/gbEEZFArg6Tu74ZlR3aBU8llRRGSbGG6IrJS22oAlW8/go5Sz0BsEfF00eH9iJIaEeUldGhGRpBhuiKxQ2tkrmPfjUZzJvwYAGNfHH/+a0BseHewlroyISHoMN0RW5GJhORZuPoUfD2YDADw72OP1e3tjXF9/iSsjIrIcDDdEVqCgtAr/2XoGq3dfgE4voFAAk6M644XRPeDqxJOGiYiux3BDZMGKyrX49PdzWLEjExU6PQBgaFcvvHRXD/Tp5CpxdURElonhhsgCpedfw8o/MvD/9l9Cpc4AAOgX5IaX4sIxpCtPGCYiag7DDZGF0BsEfj9TgFWpmUg5VWAcj/B3wTMx3TC6py8UCl7eTUR0Mww3RBISQuB4TgnWH8jCjwezkV9aBQBQKICYCF88dnso/tLFg6GGiKgVGG6I2pkQAseyS7DlRD42HMnBqbxS43tuTmrc1z8Qjw4JQbAnH5tARNQWDDdE7aC4Qoc9GYXYeiofW0/kI7ek0vievUqJmJ4+mBAZiBHhPrC3U0pYKRGR9WO4ITKDy9eqsO/8Vew6V4hdGVdwPKcEQvz5vqNahWHdvBAT4Yu43n58BhQRkQkx3BDdAiEEcksqcSq3FMeyS3D4UhGOXCpGdnFlg7khnk4Y2s0LoyJ8Ed3FEw5qlQQVExHJH8MN0U0IIVBcocPFwgpcKCzHxavlyCgow+n8UqTnXUNpVXWDZRQKoKu3MwaHeiCqiyeiQj3g6+IgQfVERLbHIsLN0qVL8d577yE3Nxf9+vXDkiVLMHjw4Cbnr127Fq+99hoyMzPRrVs3vPPOOxg7dmw7VkxyYTAIXCnTIr+0EgWlVcgpKseOSwrs/d8J5F/T4mJhBS4WljcaYOqolAqEeDqhV4Ar+nZyRZ9AV/QKdIWzxiJ+vIiIbI7kv33XrFmDhIQELF++HFFRUVi8eDHi4uJw6tQp+Pj4NJifmpqKSZMmISkpCXfffTdWr16NCRMmYP/+/ejdu7cEHZBUdHoDyqv0KNdVo1yrR4VWj7KqapTr/vx7cYXO+KeovPZjhQ7F5VrjuEHcuGYVcPFig8/n3VGDzh5OCHJ3RGfPDuju64xuPh0R6tWBJwETEVkQycPNokWLMGPGDEybNg0AsHz5cvz8889YsWIFXn755QbzP/jgA9x111144YUXAAD/+te/kJycjP/85z9Yvnx5u9Z+vapqPXKKKnClErh4tRxqOzWEAARq/uWs+Ttq/y6u+zuAG+bUnXgqIP78+w3rAhofb+nnMP69dmXihnWhdp5BCOgNAgYhoNVW49AVBRRHc6FQqozv1b2vNwB6IWCoNyauG7vufSGgqzZApzdAqzdAWy1qP+qh0wtoq+vGa+fUfqzUGVCurUaFrmaeKSgUNQ+g9O7oAG9nNaqKCtA/Igz+bk4I8nBEkLsTOrk7wdGe58gQEVkDScONVqvFvn37MHfuXOOYUqlETEwM0tLSGl0mLS0NCQkJ9cbi4uKwfv36RudXVVWhqqrK+LqkpAQAoNPpoNPpbrGDPx26UIS/fbobgB1eP7DDZOu1PCrg9GGpi6jHTqmAk70KjvYqOKlVcNKo4KhWwcleBRcHNdyc1HB1rPtjB1cHNVyvG/NwUsNOVbPnRafTITk5GbEjQqBWX38FkwG62scgWLO673lTfu9bErn3B8i/R/Zn/czVY2vWJ2m4uXz5MvR6PXx9feuN+/r64uTJk40uk5ub2+j83NzcRucnJSVhwYIFDcY3b94MJyenNlbe0PlSQK2s+T/76+8lq7huQNHYe7V/MckyqNkL0WDuzdbZzDIKBaCs/VzK2r8rASgU4rq/46Z/VypqX1/3d7vaPyqlqP1YO6ZE/de1YyqFgFoJ2KsATe1He2XNe8BNvumrav8U1XzIr/3TlOTk5ObXZ+XYn/WTe4/sz/qZusfy8vIWz5X8sJS5zZ07t96enpKSEgQFBWH06NFwcXEx6ed6vO7/+mNjb/i/fnnQybw/QP49sj/rJ/ce2Z/1M1ePdUdeWkLScOPl5QWVSoW8vLx643l5efDz82t0GT8/v1bN12g00Gg0DcbVarXZvrHMuW5LIPf+APn3yP6sn9x7ZH/Wz9Q9tmZdkl7iYW9vjwEDBmDLli3GMYPBgC1btiA6OrrRZaKjo+vNB2p2fTU1n4iIiGyL5IelEhISMHXqVAwcOBCDBw/G4sWLUVZWZrx6asqUKQgMDERSUhIAYM6cORg+fDj+/e9/Y9y4cfj222+xd+9efPLJJ1K2QURERBZC8nAzceJEFBQUYN68ecjNzUVkZCQ2btxoPGn4woULUCr/3ME0ZMgQrF69Gq+++ipeeeUVdOvWDevXr+c9boiIiAiABYQbAIiPj0d8fHyj76WkpDQYe/DBB/Hggw+auSoiIiKyRrytKhEREckKww0RERHJCsMNERERyQrDDREREckKww0RERHJCsMNERERyQrDDREREckKww0RERHJCsMNERERyYpF3KG4PQkhALTu0ektpdPpUF5ejpKSElk+7VXu/QHy75H9WT+598j+rJ+5eqz7d7vu3/Hm2Fy4KS0tBQAEBQVJXAkRERG1VmlpKVxdXZudoxAtiUAyYjAYkJ2djY4dO0KhUJh03SUlJQgKCsLFixfh4uJi0nVbArn3B8i/R/Zn/eTeI/uzfubqUQiB0tJSBAQE1HugdmNsbs+NUqlEp06dzPo5XFxcZPtNC8i/P0D+PbI/6yf3Htmf9TNHjzfbY1OHJxQTERGRrDDcEBERkaww3JiQRqNBYmIiNBqN1KWYhdz7A+TfI/uzfnLvkf1ZP0vo0eZOKCYiIiJ5454bIiIikhWGGyIiIpIVhhsiIiKSFYYbIiIikhWGm1Z48803MWTIEDg5OcHNza3RORcuXMC4cePg5OQEHx8fvPDCC6iurm52vYWFhZg8eTJcXFzg5uaG6dOn49q1a2booHVSUlKgUCga/bNnz54mlxsxYkSD+f/4xz/asfKWCwkJaVDr22+/3ewylZWVmDVrFjw9PeHs7Iy//vWvyMvLa6eKWyczMxPTp09HaGgoHB0dERYWhsTERGi12maXs+RtuHTpUoSEhMDBwQFRUVHYvXt3s/PXrl2LHj16wMHBAX369MGGDRvaqdLWS0pKwqBBg9CxY0f4+PhgwoQJOHXqVLPLrFq1qsG2cnBwaKeKW2f+/PkNau3Ro0ezy1jT9gMa/52iUCgwa9asRudb+vb77bffMH78eAQEBEChUGD9+vX13hdCYN68efD394ejoyNiYmJw5syZm663tT/HrcVw0wparRYPPvggnnrqqUbf1+v1GDduHLRaLVJTU/HFF19g1apVmDdvXrPrnTx5Mo4dO4bk5GT873//w2+//YYnnnjCHC20ypAhQ5CTk1Pvz+OPP47Q0FAMHDiw2WVnzJhRb7l33323napuvddff71erU8//XSz85999ln897//xdq1a7F9+3ZkZ2fj/vvvb6dqW+fkyZMwGAz4+OOPcezYMbz//vtYvnw5XnnllZsua4nbcM2aNUhISEBiYiL279+Pfv36IS4uDvn5+Y3OT01NxaRJkzB9+nQcOHAAEyZMwIQJE3D06NF2rrxltm/fjlmzZmHnzp1ITk6GTqfD6NGjUVZW1uxyLi4u9bbV+fPn26ni1uvVq1e9Wnfs2NHkXGvbfgCwZ8+eev0lJycDAB588MEml7Hk7VdWVoZ+/fph6dKljb7/7rvv4sMPP8Ty5cuxa9cudOjQAXFxcaisrGxyna39OW4TQa22cuVK4erq2mB8w4YNQqlUitzcXOPYsmXLhIuLi6iqqmp0XcePHxcAxJ49e4xjv/zyi1AoFCIrK8vktd8KrVYrvL29xeuvv97svOHDh4s5c+a0T1G3KDg4WLz//vstnl9UVCTUarVYu3atcezEiRMCgEhLSzNDhab37rvvitDQ0GbnWOo2HDx4sJg1a5bxtV6vFwEBASIpKanR+X/729/EuHHj6o1FRUWJJ5980qx1mkp+fr4AILZv397knKZ+H1mixMRE0a9fvxbPt/btJ4QQc+bMEWFhYcJgMDT6vjVtPwDihx9+ML42GAzCz89PvPfee8axoqIiodFoxDfffNPkelr7c9wW3HNjQmlpaejTpw98fX2NY3FxcSgpKcGxY8eaXMbNza3enpCYmBgolUrs2rXL7DW3xk8//YQrV65g2rRpN5379ddfw8vLC71798bcuXNRXl7eDhW2zdtvvw1PT0/0798f7733XrOHEfft2wedToeYmBjjWI8ePdC5c2ekpaW1R7m3rLi4GB4eHjedZ2nbUKvVYt++ffW+9kqlEjExMU1+7dPS0urNB2p+Jq1pWwG46fa6du0agoODERQUhHvvvbfJ3zeW4MyZMwgICECXLl0wefJkXLhwocm51r79tFotvvrqKzz22GPNPqjZmrbf9TIyMpCbm1tvG7m6uiIqKqrJbdSWn+O2sLkHZ5pTbm5uvWADwPg6Nze3yWV8fHzqjdnZ2cHDw6PJZaTy+eefIy4u7qYPHn344YcRHByMgIAAHD58GC+99BJOnTqF77//vp0qbbnZs2fjtttug4eHB1JTUzF37lzk5ORg0aJFjc7Pzc2Fvb19g3OufH19LW57NSY9PR1LlizBwoULm51nidvw8uXL0Ov1jf6MnTx5stFlmvqZtIZtZTAY8Mwzz+D2229H7969m5wXHh6OFStWoG/fviguLsbChQsxZMgQHDt2zOwPCW6tqKgorFq1CuHh4cjJycGCBQswbNgwHD16FB07dmww35q3HwCsX78eRUVFePTRR5ucY03b70Z126E126gtP8dtYfPh5uWXX8Y777zT7JwTJ07c9KQ3a9KWni9duoRNmzbhu+++u+n6rz9fqE+fPvD398eoUaNw9uxZhIWFtb3wFmpNfwkJCcaxvn37wt7eHk8++SSSkpIs+vbobdmGWVlZuOuuu/Dggw9ixowZzS4r9TYkYNasWTh69Giz56QAQHR0NKKjo42vhwwZgoiICHz88cf417/+Ze4yW2XMmDHGv/ft2xdRUVEIDg7Gd999h+nTp0tYmXl8/vnnGDNmDAICApqcY03bz5rYfLh57rnnmk3VANClS5cWrcvPz6/BGd91V9H4+fk1ucyNJ1FVV1ejsLCwyWVuVVt6XrlyJTw9PXHPPfe0+vNFRUUBqNlr0B7/MN7KNo2KikJ1dTUyMzMRHh7e4H0/Pz9otVoUFRXV23uTl5dntu3VmNb2mJ2djZEjR2LIkCH45JNPWv352nsbNsbLywsqlarBlWnNfe39/PxaNd9SxMfHGy8uaO3/vavVavTv3x/p6elmqs503Nzc0L179yZrtdbtBwDnz5/Hr7/+2uq9nda0/eq2Q15eHvz9/Y3jeXl5iIyMbHSZtvwct4nJzt6xITc7oTgvL8849vHHHwsXFxdRWVnZ6LrqTijeu3evcWzTpk0WdUKxwWAQoaGh4rnnnmvT8jt27BAAxKFDh0xcmel99dVXQqlUisLCwkbfrzuheN26dcaxkydPWvQJxZcuXRLdunUTDz30kKiurm7TOixlGw4ePFjEx8cbX+v1ehEYGNjsCcV33313vbHo6GiLPSHVYDCIWbNmiYCAAHH69Ok2raO6ulqEh4eLZ5991sTVmV5paalwd3cXH3zwQaPvW9v2u15iYqLw8/MTOp2uVctZ8vZDEycUL1y40DhWXFzcohOKW/Nz3KZaTbYmG3D+/Hlx4MABsWDBAuHs7CwOHDggDhw4IEpLS4UQNd+UvXv3FqNHjxYHDx4UGzduFN7e3mLu3LnGdezatUuEh4eLS5cuGcfuuusu0b9/f7Fr1y6xY8cO0a1bNzFp0qR2768pv/76qwAgTpw40eC9S5cuifDwcLFr1y4hhBDp6eni9ddfF3v37hUZGRnixx9/FF26dBF33HFHe5d9U6mpqeL9998XBw8eFGfPnhVfffWV8Pb2FlOmTDHOubE/IYT4xz/+ITp37iy2bt0q9u7dK6Kjo0V0dLQULdzUpUuXRNeuXcWoUaPEpUuXRE5OjvHP9XOsZRt+++23QqPRiFWrVonjx4+LJ554Qri5uRmvUHzkkUfEyy+/bJz/xx9/CDs7O7Fw4UJx4sQJkZiYKNRqtThy5IhULTTrqaeeEq6uriIlJaXetiovLzfOubHHBQsWiE2bNomzZ8+Kffv2iYceekg4ODiIY8eOSdFCs5577jmRkpIiMjIyxB9//CFiYmKEl5eXyM/PF0JY//aro9frRefOncVLL73U4D1r236lpaXGf+sAiEWLFokDBw6I8+fPCyGEePvtt4Wbm5v48ccfxeHDh8W9994rQkNDRUVFhXEdd955p1iyZInx9c1+jk2B4aYVpk6dKgA0+LNt2zbjnMzMTDFmzBjh6OgovLy8xHPPPVcvuW/btk0AEBkZGcaxK1euiEmTJglnZ2fh4uIipk2bZgxMlmDSpEliyJAhjb6XkZFR72tw4cIFcccddwgPDw+h0WhE165dxQsvvCCKi4vbseKW2bdvn4iKihKurq7CwcFBREREiLfeeqveXrYb+xNCiIqKCjFz5kzh7u4unJycxH333VcvLFiSlStXNvo9e/1OW2vbhkuWLBGdO3cW9vb2YvDgwWLnzp3G94YPHy6mTp1ab/53330nunfvLuzt7UWvXr3Ezz//3M4Vt1xT22rlypXGOTf2+Mwzzxi/Hr6+vmLs2LFi//797V98C0ycOFH4+/sLe3t7ERgYKCZOnCjS09ON71v79quzadMmAUCcOnWqwXvWtv3q/s268U9dDwaDQbz22mvC19dXaDQaMWrUqAZ9BwcHi8TExHpjzf0cm4JCCCFMd5CLiIiISFq8zw0RERHJCsMNERERyQrDDREREckKww0RERHJCsMNERERyQrDDREREckKww0RERHJCsMNERERyQrDDREREckKww0RERHJCsMNEVm9goIC+Pn54a233jKOpaamwt7eHlu2bJGwMiKSAp8tRUSysGHDBkyYMAGpqakIDw9HZGQk7r33XixatEjq0oionTHcEJFszJo1C7/++isGDhyII0eOYM+ePdBoNFKXRUTtjOGGiGSjoqICvXv3xsWLF7Fv3z706dNH6pKISAI854aIZOPs2bPIzs6GwWBAZmam1OUQkUS454aIZEGr1WLw4MGIjIxEeHg4Fi9ejCNHjsDHx0fq0oionTHcEJEsvPDCC1i3bh0OHToEZ2dnDB8+HK6urvjf//4ndWlE1M54WIqIrF5KSgoWL16ML7/8Ei4uLlAqlfjyyy/x+++/Y9myZVKXR0TtjHtuiIiISFa454aIiIhkheGGiIiIZIXhhoiIiGSF4YaIiIhkheGGiIiIZIXhhoiIiGSF4YaIiIhkheGGiIiIZIXhhoiIiGSF4YaIiIhkheGGiIiIZIXhhoiIiGTl/wNF5QoUWDWzNwAAAABJRU5ErkJggg==\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Range: (np.float64(4.5397868702434395e-05), np.float64(0.9999546021312976)) | At x=0: 0.5\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ], + "metadata": { + "id": "DUONuiAxilL0" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 5. Derivatives of Famous Functions" + ], + "metadata": { + "id": "1FjRt_31fXsx" + } + }, + { + "cell_type": "code", + "source": [ + "x = np.linspace(-3, 3, 400)\n", + "plt.plot(x, x**2, label=\"x²\")\n", + "plt.plot(x, 2*x, '--', label=\"d/dx x²\")\n", + "\n", + "x = np.linspace(0, 3, 400)\n", + "plt.plot(x, np.exp(x), label=\"exp(x)\")\n", + "plt.plot(x, np.exp(x), '--', label=\"d/dx exp(x)\")\n", + "\n", + "plt.plot(x, np.log(x+0.1), label=\"log(x)\")\n", + "plt.plot(x, 1/x, '--', label=\"d/dx log(x)\")\n", + "plt.ylim(-5, 15)\n", + "plt.legend(loc='upper left')\n", + "plt.title(\"Functions and Their Derivatives\")\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 487 + }, + "id": "vyyGBuHRfZ4n", + "outputId": "05e313fb-0c43-4c21-d73e-eb6c8c381358" + }, + "execution_count": 15, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + ":10: RuntimeWarning: divide by zero encountered in divide\n", + " plt.plot(x, 1/x, '--', label=\"d/dx log(x)\")\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ], + "metadata": { + "id": "DURup9u5il4-" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 6. Gradient of Selected Functions" + ], + "metadata": { + "id": "w3QIKTZQf1ZK" + } + }, + { + "cell_type": "code", + "source": [ + "# search and learn more about sumpy\n", + "import sympy as sp\n", + "\n", + "# Define symbolic variables\n", + "x, y = sp.symbols('x y')\n", + "\n", + "# Define the function\n", + "f = x**2 * y + sp.sin(y)\n", + "\n", + "# Compute partial derivatives\n", + "df_dx = sp.diff(f, x)\n", + "df_dy = sp.diff(f, y)\n", + "\n", + "print(\"Function: f(x, y) =\", f)\n", + "print(\"Partial derivative w.r.t x (∂f/∂x):\", df_dx)\n", + "print(\"Partial derivative w.r.t y (∂f/∂y):\", df_dy)\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Eeudgf3-f0Ie", + "outputId": "9ce575c7-39f8-43f6-9374-d6f18d14e675" + }, + "execution_count": 16, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Function: f(x, y) = x**2*y + sin(y)\n", + "Partial derivative w.r.t x (∂f/∂x): 2*x*y\n", + "Partial derivative w.r.t y (∂f/∂y): x**2 + cos(y)\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ], + "metadata": { + "id": "wDlIJkmYimg9" + } + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.3/AI-DS_Nexus__A0_3__rsayyareh.ipynb b/a0.1/a0.3/AI-DS_Nexus__A0_3__rsayyareh.ipynb new file mode 100644 index 0000000..b61c9da --- /dev/null +++ b/a0.1/a0.3/AI-DS_Nexus__A0_3__rsayyareh.ipynb @@ -0,0 +1,426 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "7wR0aAR-evto" + }, + "source": [ + "# 📚 Assignment 3 — Functions, Derivatives & Gradients\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n", + "\n", + "\n", + "This assignment explores the mathematical foundation of machine learning: functions and their derivatives. You’ll visualize, analyze, and code up essential concepts every ML practitioner uses.\n", + "\n", + "\n", + "**👀🔎 What do you see?**\n", + "\n", + "Look at the snippet codes and:\n", + "\n", + "* Describe any patterns, surprises, or connections you notice.\n", + "\n", + "* Write a few sentences about your observations! 📝✨\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "cCb1hk3xe0E6" + }, + "source": [ + "## 1. Log and Exp: Proving Inverse Relationship\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "KOxJ9f-3eu5F", + "outputId": "31d8ce39-8670-4dc4-9053-6c6aaf10d1ff" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "x\tlog(exp(x))\texp(log(x))\n", + "1.00\t1.00\t\t1.00\n", + "2.00\t2.00\t\t2.00\n", + "10.00\t10.00\t\t10.00\n", + "2.72\t2.72\t\t2.72\n", + "\n", + "log(exp(y)) for 0 and negative values:\n", + "[ 0. -1. 5.]\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "\n", + "# Show log(exp(x)) == x and exp(log(x)) == x for several values\n", + "x_vals = np.array([1, 2, 10, np.e])\n", + "print(\"x\\tlog(exp(x))\\texp(log(x))\")\n", + "for x in x_vals:\n", + " print(f\"{x:.2f}\\t{np.log(np.exp(x)):.2f}\\t\\t{np.exp(np.log(x)):.2f}\")\n", + "\n", + "# Edge case: try negative and zero values (show error/NaN for log)\n", + "y_vals = np.array([0, -1, 5])\n", + "print(\"\\nlog(exp(y)) for 0 and negative values:\")\n", + "print(np.log(np.exp(y_vals)))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "lVZufz08g1hI" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "mOAqtnk6fDH6" + }, + "source": [ + "## 2. Plotting Sine Functions Variations\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "DoWdSehie66R", + "outputId": "a83a3ade-6ca7-425c-9fa8-59ca9c343d9a" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "x = np.arange(-2*np.pi, 2*np.pi, 0.1)\n", + "\n", + "# look at the description of each function and call the proper function from numpy\n", + "plt.plot(x, np.sin(x), label='sin(x)')\n", + "plt.plot(x, np.sin(2*x), label='sin(2x)')\n", + "plt.plot(x, np.sin(x/2), label='sin(x/2)')\n", + "plt.plot(x, np.sin(x)**2, label='sin²(x)')\n", + "plt.legend()\n", + "plt.title(\"Variations of Sine Functions\")\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "dMVcqrfihf0P" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "4-5A1OkdfHXq" + }, + "source": [ + "## 3. Subplots: Trig, Inverse, Exp, and Log" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 807 + }, + "id": "DxocsCu6fGOR", + "outputId": "5864a5cc-5776-45bd-99f7-028c64e301af" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = np.arange(-1, 1, 0.01)\n", + "x2 = np.linspace(0.1, 2, 400) # For log and exp\n", + "\n", + "# based on the number of subplots what should be the dimensions in the following line?\n", + "fig, axs = plt.subplots(2, 4, figsize=(16, 8))\n", + "axs[0,0].plot(x, np.sin(x)); axs[0,0].set_title(\"sin(x)\")\n", + "axs[0,1].plot(x, np.cos(x)); axs[0,1].set_title(\"cos(x)\")\n", + "axs[0,2].plot(x, np.tan(x)); axs[0,2].set_title(\"tan(x)\")\n", + "axs[0,3].plot(x, np.arcsin(x)); axs[0,3].set_title(\"arcsin(x)\")\n", + "axs[1,0].plot(x, np.arccos(x)); axs[1,0].set_title(\"arccos(x)\")\n", + "axs[1,1].plot(x, np.arctan(x)); axs[1,1].set_title(\"arctan(x)\")\n", + "axs[1,2].plot(x2, np.exp(x2)); axs[1,2].set_title(\"exp(x)\")\n", + "axs[1,3].plot(x2, np.log(x2)); axs[1,3].set_title(\"log(x)\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "thpsEzFVikPh" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "WAidrU51fMqB" + }, + "source": [ + "## 4. Features of the Sigmoid Function" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 489 + }, + "id": "lehJV_vNfLXx", + "outputId": "9cfc6ec4-9dfc-4220-a955-4d6a11fac8f3" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Range: (np.float64(4.5397868702434395e-05), np.float64(0.9999546021312976)) | At x=0: 0.5\n" + ] + } + ], + "source": [ + "\n", + "def sigmoid(x):\n", + " return 1 / (1 + np.exp(-x))\n", + "\n", + "x = np.linspace(-10, 10, 1000)\n", + "y = sigmoid(x)\n", + "\n", + "plt.plot(x, y)\n", + "plt.title(\"Sigmoid Function\")\n", + "plt.xlabel(\"x\")\n", + "plt.ylabel(\"σ(x)\")\n", + "plt.grid(True)\n", + "plt.show()\n", + "\n", + "print(\"Range:\", (y.min(), y.max()), \"| At x=0:\", sigmoid(0))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DUONuiAxilL0" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "1FjRt_31fXsx" + }, + "source": [ + "## 5. Derivatives of Famous Functions" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "vyyGBuHRfZ4n", + "outputId": "7a89fce7-f973-46bc-dca3-c452f1a34561" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = np.linspace(-3, 3, 400)\n", + "plt.plot(x, x**2, label=\"x²\")\n", + "plt.plot(x, np.gradient(x**2, x), '--', label=\"d/dx x²\")\n", + "x = np.linspace(0, 3, 400)\n", + "plt.plot(x, np.exp(x), label=\"exp(x)\")\n", + "plt.plot(x, np.gradient(np.exp(x), x), '--', label=\"d/dx exp(x)\")\n", + "\n", + "plt.plot(x, np.log(x+0.1), label=\"log(x)\")\n", + "plt.plot(x, np.gradient(np.log(x+0.1), x), '--', label=\"d/dx log(x)\")\n", + "\n", + "plt.legend()\n", + "plt.title(\"Functions and Their Derivatives\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DURup9u5il4-" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "w3QIKTZQf1ZK" + }, + "source": [ + "## 6. Gradient of Selected Functions" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Eeudgf3-f0Ie", + "outputId": "aeffb463-3230-4b98-8131-623b4fbf624c" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Function: f(x, y) = x**2*y + sin(y)\n", + "Partial derivative w.r.t x (∂f/∂x): 2*x*y\n", + "Partial derivative w.r.t y (∂f/∂y): x**2 + cos(y)\n" + ] + } + ], + "source": [ + "# search and learn more about sumpy\n", + "import sympy as sp\n", + "\n", + "# Define symbolic variables\n", + "x, y = sp.symbols('x y')\n", + "\n", + "# Define the function\n", + "f = x**2 * y + sp.sin(y)\n", + "\n", + "# Compute partial derivatives\n", + "df_dx = sp.diff(f, x)\n", + "df_dy = sp.diff(f, y)\n", + "\n", + "print(\"Function: f(x, y) =\", f)\n", + "print(\"Partial derivative w.r.t x (∂f/∂x):\", df_dx)\n", + "print(\"Partial derivative w.r.t y (∂f/∂y):\", df_dy)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wDlIJkmYimg9" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.7" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.3/AI_DS_Nexus__A0_3__MrAshki.ipynb b/a0.1/a0.3/AI_DS_Nexus__A0_3__MrAshki.ipynb new file mode 100644 index 0000000..f08d70f --- /dev/null +++ b/a0.1/a0.3/AI_DS_Nexus__A0_3__MrAshki.ipynb @@ -0,0 +1,489 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "7wR0aAR-evto" + }, + "source": [ + "# 📚 Assignment 3 — Functions, Derivatives & Gradients\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n", + "\n", + "\n", + "This assignment explores the mathematical foundation of machine learning: functions and their derivatives. You’ll visualize, analyze, and code up essential concepts every ML practitioner uses.\n", + "\n", + "\n", + "**👀🔎 What do you see?**\n", + "\n", + "Look at the snippet codes and:\n", + "\n", + "* Describe any patterns, surprises, or connections you notice.\n", + "\n", + "* Write a few sentences about your observations! 📝✨\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "cCb1hk3xe0E6" + }, + "source": [ + "## 1. Log and Exp: Proving Inverse Relationship\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "KOxJ9f-3eu5F", + "outputId": "14be8064-653c-4076-d200-b16946e98e02" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "x\tlog(exp(x))\texp(log(x))\n", + "1.00\t1.00\t\t1.00\n", + "2.00\t2.00\t\t2.00\n", + "10.00\t10.00\t\t10.00\n", + "2.72\t2.72\t\t2.72\n", + "\n", + "log(exp(y)) for 0 and negative values:\n", + "[ 0. -1. 5.]\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "\n", + "# Show log(exp(x)) == x and exp(log(x)) == x for several values\n", + "x_vals = np.array([1, 2, 10, np.e])\n", + "print(\"x\\tlog(exp(x))\\texp(log(x))\")\n", + "for x in x_vals:\n", + " print(f\"{x:.2f}\\t{np.log(np.exp(x)):.2f}\\t\\t{np.exp(np.log(x)):.2f}\")\n", + "\n", + "# Edge case: try negative and zero values (show error/NaN for log)\n", + "y_vals = np.array([0, -1, 5])\n", + "print(\"\\nlog(exp(y)) for 0 and negative values:\")\n", + "print(np.log(np.exp(y_vals)))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "lVZufz08g1hI" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** تو بخش اولش میخواد بهمون یاد بده اگر یک عدد را اولش به توان برسونیم و بعدش ازش لگاریتم بگیریم همون عدد اولی رو بهم برمیگردونه. تو بخش دومش میخواد بگه لگاریتم صفر و منفی قرار نیست به شکل اولیه برگردن." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "mOAqtnk6fDH6" + }, + "source": [ + "## 2. Plotting Sine Functions Variations\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "DoWdSehie66R", + "outputId": "9b8d602d-ae09-46dc-eb5e-61339a826728" + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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\n" + }, + "metadata": {} + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "x = np.arange(-2*np.pi, 2*np.pi, 0.1)\n", + "\n", + "# look at the description of each function and call the proper function from numpy\n", + "plt.plot(x, np.sin(x), label='sin(x)')\n", + "plt.plot(x, np.sin(2*x), label='sin(2x)')\n", + "plt.plot(x, np.sin(x/2), label='sin(x/2)')\n", + "plt.plot(x, np.sin(x)**2, label='sin²(x)')\n", + "plt.legend()\n", + "plt.title(\"Variations of Sine Functions\")\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "dMVcqrfihf0P" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "source": [ + "من میبینم که ضرب یک عدد در داخل پرانتز (مثل $2x$ یا $x/2$) باعث فشرده شدن یا کشیده شدن نمودار در راستای افقی (فرکانس) می‌شود. اما توان رساندنِ کل تابع، باعث تغییر در دامنه و حذف بخش‌های منفی نمودار می‌شود." + ], + "metadata": { + "id": "-u7Lrdn-5-0l" + } + }, + { + "cell_type": "markdown", + "metadata": { + "id": "4-5A1OkdfHXq" + }, + "source": [ + "## 3. Subplots: Trig, Inverse, Exp, and Log" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 428 + }, + "id": "DxocsCu6fGOR", + "outputId": "95bf99c1-e42b-4889-f027-b1c1ed1c1642" + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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\n" + }, + "metadata": {} + } + ], + "source": [ + "x = np.arange(-1, 1, 0.01)\n", + "x2 = np.linspace(0.1, 2, 400) # For log and exp\n", + "\n", + "# based on the number of subplots what should be the dimensions in the following line?\n", + "fig, axs = plt.subplots(2, 4, figsize=(16, 8))\n", + "axs[0,0].plot(x, np.sin(x)); axs[0,0].set_title(\"sin(x)\")\n", + "axs[0,1].plot(x, np.cos(x)); axs[0,1].set_title(\"cos(x)\")\n", + "axs[0,2].plot(x, np.tan(x)); axs[0,2].set_title(\"tan(x)\")\n", + "axs[0,3].plot(x, np.arcsin(x)); axs[0,3].set_title(\"arcsin(x)\")\n", + "axs[1,0].plot(x, np.arccos(x)); axs[1,0].set_title(\"arccos(x)\")\n", + "axs[1,1].plot(x, np.arctan(x)); axs[1,1].set_title(\"arctan(x)\")\n", + "axs[1,2].plot(x2, np.exp(x2)); axs[1,2].set_title(\"exp(x)\")\n", + "axs[1,3].plot(x2, np.log(x2)); axs[1,3].set_title(\"log(x)\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "thpsEzFVikPh" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "source": [ + "من در این کدها، جعبه‌ابزار ریاضی لازم برای هوش مصنوعی را می‌بینم؛ یعنی درک اینکه چطور توابع مختلف فضا را تغییر می‌دهند، کجاها محدودیت ورودی دارند و چطور می‌توان با ترکیب آن‌ها محاسبات را مدیریت کرد." + ], + "metadata": { + "id": "oMjIIWhV7u80" + } + }, + { + "cell_type": "markdown", + "metadata": { + "id": "WAidrU51fMqB" + }, + "source": [ + "## 4. Features of the Sigmoid Function" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 489 + }, + "id": "lehJV_vNfLXx", + "outputId": "9cfc6ec4-9dfc-4220-a955-4d6a11fac8f3" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Range: (np.float64(4.5397868702434395e-05), np.float64(0.9999546021312976)) | At x=0: 0.5\n" + ] + } + ], + "source": [ + "\n", + "def sigmoid(x):\n", + " return 1 / (1 + np.exp(-x))\n", + "\n", + "x = np.linspace(-10, 10, 1000)\n", + "y = sigmoid(x)\n", + "\n", + "plt.plot(x, y)\n", + "plt.title(\"Sigmoid Function\")\n", + "plt.xlabel(\"x\")\n", + "plt.ylabel(\"σ(x)\")\n", + "plt.grid(True)\n", + "plt.show()\n", + "\n", + "print(\"Range:\", (y.min(), y.max()), \"| At x=0:\", sigmoid(0))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DUONuiAxilL0" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "source": [ + "من تابعی را می‌بینم که مثل یک \"تعدیل‌کننده\" عمل می‌کند؛ ورودی‌های خام را به مقیاس احتمال بازه ۰ تا ۱ می‌برد و دارای یک رفتار غیرخطی نرم است که در مرکز $x=0$ بیشترین حساسیت را به تغییرات دارد." + ], + "metadata": { + "id": "1FVJVvOS8uZb" + } + }, + { + "cell_type": "markdown", + "metadata": { + "id": "1FjRt_31fXsx" + }, + "source": [ + "## 5. Derivatives of Famous Functions\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "vyyGBuHRfZ4n", + "outputId": "7a89fce7-f973-46bc-dca3-c452f1a34561" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = np.linspace(-3, 3, 400)\n", + "plt.plot(x, x**2, label=\"x²\")\n", + "plt.plot(x, np.gradient(x**2, x), '--', label=\"d/dx x²\")\n", + "x = np.linspace(0, 3, 400)\n", + "plt.plot(x, np.exp(x), label=\"exp(x)\")\n", + "plt.plot(x, np.gradient(np.exp(x), x), '--', label=\"d/dx exp(x)\")\n", + "\n", + "plt.plot(x, np.log(x+0.1), label=\"log(x)\")\n", + "plt.plot(x, np.gradient(np.log(x+0.1), x), '--', label=\"d/dx log(x)\")\n", + "\n", + "plt.legend()\n", + "plt.title(\"Functions and Their Derivatives\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DURup9u5il4-" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "source": [ + "رابطه هندسی شیب و مشتق: من می‌بینم که هر جا نمودار اصلی سربالایی تندتری دارد، مقدار مشتق (خط‌چین) بالاتر است. مثلاً در $x^2$، با دور شدن از صفر، فاصله مشتق از محور $x$ بیشتر می‌شود.ویژگی منحصر به فرد تابع نمایی: مشاهده می‌کنم که مشتق $e^x$ دقیقاً بر خودش منطبق است که نشان‌دهنده رشدِ تصاعدی و خود-تقویت‌کننده است.تفسیر نرخ تغییرات: در مورد لگاریتم، می‌بینم که با افزایش $x$، مشتق به صفر نزدیک می‌شود؛ این یعنی لگاریتم یک تابع \"خسته\" است که هر چه جلوتر می‌رود، تمایلش به صعود کمتر می‌شود." + ], + "metadata": { + "id": "ecpvGQyU-JpC" + } + }, + { + "cell_type": "markdown", + "metadata": { + "id": "w3QIKTZQf1ZK" + }, + "source": [ + "## 6. Gradient of Selected Functions" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Eeudgf3-f0Ie", + "outputId": "1f393157-b70a-4d44-cef3-eeec64aaad8b" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Function: f(x, y) = x**2*y + sin(y)\n", + "Partial derivative w.r.t x (∂f/∂x): 2*x*y\n", + "Partial derivative w.r.t y (∂f/∂y): x**2 + cos(y)\n" + ] + } + ], + "source": [ + "# search and learn more about sumpy\n", + "import sympy as sp\n", + "\n", + "# Define symbolic variables\n", + "x, y = sp.symbols('x y')\n", + "\n", + "# Define the function\n", + "f = x**2 * y + sp.sin(y)\n", + "\n", + "# Compute partial derivatives\n", + "df_dx = sp.diff(f, x)\n", + "df_dy = sp.diff(f, y)\n", + "\n", + "print(\"Function: f(x, y) =\", f)\n", + "print(\"Partial derivative w.r.t x (∂f/∂x):\", df_dx)\n", + "print(\"Partial derivative w.r.t y (∂f/∂y):\", df_dy)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wDlIJkmYimg9" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "source": [ + "i cant understand what happen behind this code !\n", + "leave it for later .... :(" + ], + "metadata": { + "id": "gll3jn8L-4zi" + } + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "3aMLwiNU_CVT" + }, + "execution_count": null, + "outputs": [] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.7" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} \ No newline at end of file diff --git "a/a0.1/a0.3/AI\342\200\223DS_Nexus___A0_3_Functions,_Derivatives___RezaShokr.ipynb" "b/a0.1/a0.3/AI\342\200\223DS_Nexus___A0_3_Functions,_Derivatives___RezaShokr.ipynb" new file mode 100644 index 0000000..aeb6ed6 --- /dev/null +++ "b/a0.1/a0.3/AI\342\200\223DS_Nexus___A0_3_Functions,_Derivatives___RezaShokr.ipynb" @@ -0,0 +1,424 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 3 — Functions, Derivatives & Gradients\n", + "This assignment explores the mathematical foundation of machine learning: functions and their derivatives. You’ll visualize, analyze, and code up essential concepts every ML practitioner uses.\n", + "\n", + "\n", + "**👀🔎 What do you see?**\n", + "\n", + "Look at the snippet codes and:\n", + "\n", + "* Describe any patterns, surprises, or connections you notice.\n", + "\n", + "* Write a few sentences about your observations! 📝✨\n" + ], + "metadata": { + "id": "7wR0aAR-evto" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1. Log and Exp: Proving Inverse Relationship\n" + ], + "metadata": { + "id": "cCb1hk3xe0E6" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "KOxJ9f-3eu5F", + "outputId": "31d8ce39-8670-4dc4-9053-6c6aaf10d1ff" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "x\tlog(exp(x))\texp(log(x))\n", + "1.00\t1.00\t\t1.00\n", + "2.00\t2.00\t\t2.00\n", + "10.00\t10.00\t\t10.00\n", + "2.72\t2.72\t\t2.72\n", + "\n", + "log(exp(y)) for 0 and negative values:\n", + "[ 0. -1. 5.]\n" + ] + } + ], + "source": [ + "import -------- as np\n", + "\n", + "# Show log(exp(x)) == x and exp(log(x)) == x for several values\n", + "x_vals = np.array([1, 2, --------, np.e])\n", + "print(\"x\\tlog(exp(x))\\texp(log(x))\")\n", + "for x in --------:\n", + " print(f\"{x:.2f}\\t{np.log(np.exp(x)):.2f}\\t\\t{np.exp(np.log(x)):.2f}\")\n", + "\n", + "# Edge case: try negative and zero values (show error/NaN for log)\n", + "y_vals = np.array([0, -1, 5])\n", + "print(\"\\nlog(exp(y)) for 0 and negative values:\")\n", + "print(np.log(np.exp(y_vals)))\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ], + "metadata": { + "id": "lVZufz08g1hI" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 2. Plotting Sine Functions Variations\n", + "\n" + ], + "metadata": { + "id": "mOAqtnk6fDH6" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "x = np.linspace(-2 * np.pi, 2 * np.pi, 1000)\n", + "\n", + "# look at the description of each function and call the proper function from numpy\n", + "plt.plot(x, np.sin(x), label='sin(x)')\n", + "plt.plot(x, np.sin(2 * x), label='sin(2x)')\n", + "plt.plot(x, np.sin(x / 2), label='sin(x/2)')\n", + "plt.plot(x, np.sin(x) ** 2, label='sin²(x)')\n", + "plt.legend()\n", + "plt.title(\"Variations of Sine Functions\")\n", + "plt.show()\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "DoWdSehie66R", + "outputId": "d72540e3-47fa-4c6e-b2ec-f189dce34386" + }, + "execution_count": 2, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ], + "metadata": { + "id": "dMVcqrfihf0P" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 3. Subplots: Trig, Inverse, Exp, and Log" + ], + "metadata": { + "id": "4-5A1OkdfHXq" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Define x ranges\n", + "x = np.linspace(-1, 1, 400)\n", + "x2 = np.linspace(0.1, 2, 400) # For log and exp (log undefined at 0)\n", + "\n", + "# based on the number of subplots what should be the dimensions in the following line?\n", + "fig, axs = plt.subplots(2, 4, figsize=(16, 8))\n", + "\n", + "# Row 1\n", + "axs[0,0].plot(x, np.sin(x)); axs[0,0].set_title(\"sin(x)\")\n", + "axs[0,1].plot(x, np.cos(x)); axs[0,1].set_title(\"cos(x)\")\n", + "axs[0,2].plot(x, np.tan(x)); axs[0,2].set_title(\"tan(x)\")\n", + "axs[0,3].plot(x, np.arcsin(x)); axs[0,3].set_title(\"arcsin(x)\")\n", + "\n", + "# Row 2\n", + "axs[1,0].plot(x, np.arccos(x)); axs[1,0].set_title(\"arccos(x)\")\n", + "axs[1,1].plot(x, np.arctan(x)); axs[1,1].set_title(\"arctan(x)\")\n", + "axs[1,2].plot(x2, np.exp(x2)); axs[1,2].set_title(\"exp(x)\")\n", + "axs[1,3].plot(x2, np.log(x2)); axs[1,3].set_title(\"log(x)\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 804 + }, + "id": "DxocsCu6fGOR", + "outputId": "0302fb54-7750-42e5-ce8d-c57568cdbf5c" + }, + "execution_count": 3, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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+ }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ], + "metadata": { + "id": "thpsEzFVikPh" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 4. Features of the Sigmoid Function" + ], + "metadata": { + "id": "WAidrU51fMqB" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "def sigmoid(x):\n", + " return 1 / (1 + np.exp(-x))\n", + "\n", + "x = np.linspace(-10, 10, 200)\n", + "y = sigmoid(x)\n", + "\n", + "plt.plot(x, y)\n", + "plt.title(\"Sigmoid Function\")\n", + "plt.xlabel(\"x\")\n", + "plt.ylabel(\"σ(x)\")\n", + "plt.grid(True)\n", + "plt.show()\n", + "\n", + "print(\"Range:\", (y.min(), y.max()), \"| At x=0:\", sigmoid(0))\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 490 + }, + "id": "lehJV_vNfLXx", + "outputId": "6aa25d34-2cc9-4f8b-844b-2e0e8f391b11" + }, + "execution_count": 4, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Range: (np.float64(4.5397868702434395e-05), np.float64(0.9999546021312976)) | At x=0: 0.5\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ], + "metadata": { + "id": "DUONuiAxilL0" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 5. Derivatives of Famous Functions" + ], + "metadata": { + "id": "1FjRt_31fXsx" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# x² and its derivative\n", + "x = np.linspace(-3, 3, 400)\n", + "plt.plot(x, x**2, label=\"x²\")\n", + "plt.plot(x, 2*x, '--', label=\"d/dx x²\")\n", + "\n", + "# exp(x) and its derivative\n", + "x = np.linspace(0, 3, 400)\n", + "plt.plot(x, np.exp(x), label=\"exp(x)\")\n", + "plt.plot(x, np.exp(x), '--', label=\"d/dx exp(x)\")\n", + "\n", + "# log(x) and its derivative\n", + "plt.plot(x, np.log(x+0.1), label=\"log(x)\")\n", + "plt.plot(x, 1/(x+0.1), '--', label=\"d/dx log(x)\")\n", + "\n", + "plt.legend()\n", + "plt.title(\"Functions and Their Derivatives\")\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "vyyGBuHRfZ4n", + "outputId": "da89b1ae-2b6e-4b19-d8ae-55684bf940c9" + }, + "execution_count": 5, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ], + "metadata": { + "id": "DURup9u5il4-" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 6. Gradient of Selected Functions" + ], + "metadata": { + "id": "w3QIKTZQf1ZK" + } + }, + { + "cell_type": "code", + "source": [ + "# search and learn more about sympy\n", + "import sympy as sp\n", + "\n", + "# Define symbolic variables\n", + "x, y = sp.symbols('x y')\n", + "\n", + "# Define the function\n", + "f = x**2 * y + sp.sin(y)\n", + "\n", + "# Compute partial derivatives\n", + "df_dx = sp.diff(f, x)\n", + "df_dy = sp.diff(f, y)\n", + "\n", + "print(\"Function: f(x, y) =\", f)\n", + "print(\"Partial derivative w.r.t x (∂f/∂x):\", df_dx)\n", + "print(\"Partial derivative w.r.t y (∂f/∂y):\", df_dy)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Eeudgf3-f0Ie", + "outputId": "94c62073-9cea-4bb5-d4ab-4eac26fae9af" + }, + "execution_count": 6, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Function: f(x, y) = x**2*y + sin(y)\n", + "Partial derivative w.r.t x (∂f/∂x): 2*x*y\n", + "Partial derivative w.r.t y (∂f/∂y): x**2 + cos(y)\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ], + "metadata": { + "id": "wDlIJkmYimg9" + } + } + ] +} \ No newline at end of file diff --git "a/a0.1/a0.3/AI\342\200\223DS_Nexus___A0_3_Functions,_Derivatives___RoohollaAlikhani.ipynb" "b/a0.1/a0.3/AI\342\200\223DS_Nexus___A0_3_Functions,_Derivatives___RoohollaAlikhani.ipynb" new file mode 100644 index 0000000..a16656d --- /dev/null +++ "b/a0.1/a0.3/AI\342\200\223DS_Nexus___A0_3_Functions,_Derivatives___RoohollaAlikhani.ipynb" @@ -0,0 +1,519 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "7wR0aAR-evto" + }, + "source": [ + "# 📚 Assignment 3 — Functions, Derivatives & Gradients\n", + "This assignment explores the mathematical foundation of machine learning: functions and their derivatives. You’ll visualize, analyze, and code up essential concepts every ML practitioner uses.\n", + "\n", + "\n", + "**👀🔎 What do you see?**\n", + "\n", + "Look at the snippet codes and:\n", + "\n", + "* Describe any patterns, surprises, or connections you notice.\n", + "\n", + "* Write a few sentences about your observations! 📝✨\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "cCb1hk3xe0E6" + }, + "source": [ + "## 1. Log and Exp: Proving Inverse Relationship\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "KOxJ9f-3eu5F", + "outputId": "31d8ce39-8670-4dc4-9053-6c6aaf10d1ff" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "x\tlog(exp(x))\texp(log(x))\n", + "1.00\t1.00\t\t1.00\n", + "2.00\t2.00\t\t2.00\n", + "3.00\t3.00\t\t3.00\n", + "2.72\t2.72\t\t2.72\n", + "\n", + "log(exp(y)) for 0 and negative values:\n", + "[ 0. -1. 5.]\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "\n", + "# Show log(exp(x)) == x and exp(log(x)) == x for several values\n", + "x_vals = np.array([1 , 2 , 3 , np.e])\n", + "\n", + "print(\"x\\tlog(exp(x))\\texp(log(x))\")\n", + "for x in x_vals:\n", + " print(f\"{x:.2f}\\t{np.log(np.exp(x)):.2f}\\t\\t{np.exp(np.log(x)):.2f}\")\n", + "\n", + "# Edge case: try negative and zero values (show error/NaN for log)\n", + "y_vals = np.array([0, -1, 5])\n", + "print(\"\\nlog(exp(y)) for 0 and negative values:\")\n", + "print(np.log(np.exp(y_vals)))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "x\tlog(exp(x))\texp(log(x))\n", + "1.00\t1.00\t\t1.00\n", + "2.00\t2.00\t\t2.00\n", + "3.00\t3.00\t\t3.00\n", + "2.72\t2.72\t\t2.72\n", + "\n", + "log(exp(y)) for 0 and negative values:\n", + "[ 0. -1. 5.]\n" + ] + } + ], + "source": [ + "import numpy as np \n", + "\n", + "# مقادیر مختلف برای بررسی رابطه‌های لگاریتم و نمایی\n", + "x_vals = np.array([1, 2, 3, np.e]) # مقدار جای‌خالی با عدد 3 پر شده\n", + "\n", + "print(\"x\\tlog(exp(x))\\texp(log(x))\")\n", + "\n", + "for x in x_vals: # جای‌خالی دوم باید x_vals باشه\n", + " print(f\"{x:.2f}\\t{np.log(np.exp(x)):.2f}\\t\\t{np.exp(np.log(x)):.2f}\")\n", + "\n", + "# حالت‌های خاص مثل صفر و اعداد منفی\n", + "y_vals = np.array([0, -1, 5])\n", + "print(\"\\nlog(exp(y)) for 0 and negative values:\")\n", + "print(np.log(np.exp(y_vals))) # log(exp(0)) = 0، log(exp(-1)) خطا نمی‌ده ولی مقدار منفی می‌ده" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "lVZufz08g1hI" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "mOAqtnk6fDH6" + }, + "source": [ + "## 2. Plotting Sine Functions Variations\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "DoWdSehie66R", + "outputId": "a83a3ade-6ca7-425c-9fa8-59ca9c343d9a" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "x = np.linspace(-2*np.pi, 2*np.pi, 500)\n", + "\n", + "# look at the description of each function and call the proper function from numpy\n", + "plt.plot(x, np.sin(x), label='sin(x)')\n", + "plt.plot(x, np.sin(2*x), label='sin(2x)')\n", + "plt.plot(x, np.sin(x/2), label='sin(x/2)')\n", + "plt.plot(x, np.sin(x)**2, label='sin²(x)')\n", + "plt.legend()\n", + "plt.title(\"Variations of Sine Functions\")\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "dMVcqrfihf0P" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "4-5A1OkdfHXq" + }, + "source": [ + "## 3. Subplots: Trig, Inverse, Exp, and Log" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 807 + }, + "id": "DxocsCu6fGOR", + "outputId": "5864a5cc-5776-45bd-99f7-028c64e301af" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = np.linspace(-1, 1, 400)\n", + "x2 = np.linspace(0.1, 2, 400) # For log and exp\n", + "\n", + "# based on the number of subplots what should be the dimensions in the following line?\n", + "fig, axs = plt.subplots(2 , 4 , figsize=(16, 8))\n", + "axs[0,0].plot(x, np.sin(x)); axs[0,0].set_title(\"sin(x)\")\n", + "axs[0,1].plot(x, np.cos(x)); axs[0,1].set_title(\"cos(x)\")\n", + "axs[0,2].plot(x, np.tan(x)); axs[0,2].set_title(\"tan(x)\")\n", + "axs[0,3].plot(x, np.arcsin(x)); axs[0,3].set_title(\"arcsin(x)\")\n", + "axs[1,0].plot(x, np.arccos(x)); axs[1,0].set_title(\"arccos(x)\")\n", + "axs[1,1].plot(x, np.arctan(x)); axs[1,1].set_title(\"arctan(x)\")\n", + "axs[1,2].plot(x2, np.exp(x2)); axs[1,2].set_title(\"exp(x)\")\n", + "axs[1,3].plot(x2, np.log(x2)); axs[1,3].set_title(\"log(x)\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "thpsEzFVikPh" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "WAidrU51fMqB" + }, + "source": [ + "## 4. Features of the Sigmoid Function" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 1 \n", + "───────\n", + " -x\n", + "1 + ℯ \n" + ] + } + ], + "source": [ + "import sympy as sym\n", + "\n", + "x = sym.Symbol('x') # تعریف متغیر نمادین x\n", + "sig = 1 / (1 + sym.exp(-x)) \n", + "\n", + "sym.pprint(sig) " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 489 + }, + "id": "lehJV_vNfLXx", + "outputId": "9cfc6ec4-9dfc-4220-a955-4d6a11fac8f3" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Range: (np.float64(4.5397868702434395e-05), np.float64(0.9999546021312976)) | At x=0: 0.5\n" + ] + } + ], + "source": [ + "\n", + "def sigmoid(x):\n", + " return 1 / (1 + np.exp(-x))\n", + "\n", + "\n", + "x = np.linspace(-10, 10, 200) # 200 num geberate between -10 , 10 \n", + "y = sigmoid(x)\n", + "\n", + "plt.plot(x, y)\n", + "plt.title(\"Sigmoid Function\")\n", + "plt.xlabel(\"x\")\n", + "plt.ylabel(\"σ(x)\")\n", + "plt.grid(True)\n", + "plt.show()\n", + "\n", + "print(\"Range:\", (y.min(), y.max()), \"| At x=0:\", sigmoid(0))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DUONuiAxilL0" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "1FjRt_31fXsx" + }, + "source": [ + "## 5. Derivatives of Famous Functions" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "vyyGBuHRfZ4n", + "outputId": "7a89fce7-f973-46bc-dca3-c452f1a34561" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = np.linspace(-3, 3, 400) # 400 number generate between -3 , 3 \n", + "\n", + "plt.plot(x, x**2, label=\"x²\")\n", + "plt.plot(x, 2*x , '--', label=\"d/dx x²\")\n", + "\n", + "x = np.linspace(0, 3, 400)\n", + "plt.plot(x, np.exp(x), label=\"exp(x)\")\n", + "plt.plot(x, np.exp(x), '--', label=\"d/dx exp(x)\")\n", + "\n", + "plt.plot(x, np.log(x + 0.1), label=\"log(x)\")\n", + "plt.plot(x, 1 / (x + 0.1) , '--', label=\"d/dx log(x)\")\n", + "\n", + "plt.legend()\n", + "plt.title(\"Functions and Their Derivatives\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# more example\n", + "import matplotlib.pyplot as plt\n", + "\n", + "x = np.linspace(0.1, 3, 400)\n", + "y = np.log(x + 0.1)\n", + "\n", + "dy = np.diff(y)\n", + "dx = np.diff(x)\n", + "derivative = dy / dx\n", + "\n", + "x_mid = (x[:-1] + x[1:]) / 2 # میانگین نقاط برای محور x مشتق\n", + "\n", + "plt.plot(x, y, label=\"log(x + 0.1)\")\n", + "plt.plot(x_mid, derivative, '--', label=\"Approx. Derivative\")\n", + "plt.legend()\n", + "plt.grid(True)\n", + "plt.title(\"Function and Its Approximate Derivative\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DURup9u5il4-" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "w3QIKTZQf1ZK" + }, + "source": [ + "## 6. Gradient of Selected Functions" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Eeudgf3-f0Ie", + "outputId": "aeffb463-3230-4b98-8131-623b4fbf624c" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Function: f(x, y) = x**2*y + sin(y)\n", + "Partial derivative w.r.t x (∂f/∂x): 2*x*y\n", + "Partial derivative w.r.t y (∂f/∂y): x**2 + cos(y)\n" + ] + } + ], + "source": [ + "# search and learn more about sumpy\n", + "import sympy as sp\n", + "\n", + "# Define symbolic variables\n", + "x, y = sp.symbols('x y')\n", + "\n", + "# Define the function\n", + "f = x**2 * y + sp.sin(y)\n", + "\n", + "# Compute partial derivatives\n", + "df_dx = sp.diff(f, x)\n", + "df_dy = sp.diff(f, y)\n", + "\n", + "print(\"Function: f(x, y) =\", f)\n", + "print(\"Partial derivative w.r.t x (∂f/∂x):\", df_dx)\n", + "print(\"Partial derivative w.r.t y (∂f/∂y):\", df_dy)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wDlIJkmYimg9" + }, + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** --------" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "DsAi", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.3/a0.3 arian shishehgar.ipynb b/a0.1/a0.3/a0.3 arian shishehgar.ipynb new file mode 100644 index 0000000..254cf05 --- /dev/null +++ b/a0.1/a0.3/a0.3 arian shishehgar.ipynb @@ -0,0 +1,426 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 3 — Functions, Derivatives & Gradients\n", + "This assignment explores the mathematical foundation of machine learning: functions and their derivatives. You’ll visualize, analyze, and code up essential concepts every ML practitioner uses.\n", + "\n", + "\n", + "**👀🔎 What do you see?**\n", + "\n", + "Look at the snippet codes and:\n", + "\n", + "* Describe any patterns, surprises, or connections you notice.\n", + "\n", + "* Write a few sentences about your observations! 📝✨\n" + ], + "metadata": { + "id": "7wR0aAR-evto" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1. Log and Exp: Proving Inverse Relationship\n" + ], + "metadata": { + "id": "cCb1hk3xe0E6" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "KOxJ9f-3eu5F", + "outputId": "31d8ce39-8670-4dc4-9053-6c6aaf10d1ff" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "x\tlog(exp(x))\texp(log(x))\n", + "1.00\t1.00\t\t1.00\n", + "2.00\t2.00\t\t2.00\n", + "10.00\t10.00\t\t10.00\n", + "2.72\t2.72\t\t2.72\n", + "\n", + "log(exp(y)) for 0 and negative values:\n", + "[ 0. -1. 5.]\n" + ] + } + ], + "source": [ + "import -------- as np\n", + "\n", + "# Show log(exp(x)) == x and exp(log(x)) == x for several values\n", + "x_vals = np.array([1, 2, --------, np.e])\n", + "print(\"x\\tlog(exp(x))\\texp(log(x))\")\n", + "for x in --------:\n", + " print(f\"{x:.2f}\\t{np.log(np.exp(x)):.2f}\\t\\t{np.exp(np.log(x)):.2f}\")\n", + "\n", + "# Edge case: try negative and zero values (show error/NaN for log)\n", + "y_vals = np.array([0, -1, 5])\n", + "print(\"\\nlog(exp(y)) for 0 and negative values:\")\n", + "print(np.log(np.exp(y_vals)))\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:\n", + " exp(x) = e^x => ln (exp(x))= ln( e^x) = x\n", + "\n", + "on the other hand :\n", + "\n", + "log x =y ---> e^y=x\n", + "\n", + "exp(log(x))= exp(y) = x\n", + "\n", + "so both functions answer are equal." + ], + "metadata": { + "id": "lVZufz08g1hI" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 2. Plotting Sine Functions Variations\n", + "\n" + ], + "metadata": { + "id": "mOAqtnk6fDH6" + } + }, + { + "cell_type": "code", + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "x = np.--------(-2*np.pi, 2*np.pi, --------)\n", + "\n", + "# look at the description of each function and call the proper function from numpy\n", + "plt.plot(x, np.sin(--------), label='sin(x)')\n", + "plt.plot(x, np.--------(2*x), label='sin(2x)')\n", + "plt.plot(x, np.sin(--------), label='sin(x/2)')\n", + "plt.plot(x, np.sin(x)--------, label='sin²(x)')\n", + "plt.legend()\n", + "plt.title(\"Variations of Sine Functions\")\n", + "plt.show()\n", + "\n", + "\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "DoWdSehie66R", + "outputId": "a83a3ade-6ca7-425c-9fa8-59ca9c343d9a" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:**\n", + " When we substitute 2x for x, the sin graph compresses horizontally by a factor of 1/2. This means the peak occurs at pi/4 instead of pi/2.\n", + "\n", + "On the other hand, when we substitute x/2 for x, the sin graph stretches horizontally by a factor of 2, so the peak occurs at pi.\n", + "\n", + "Finally, when the sin function is squared, the graph remains entirely above the x-axis, resulting in only non-negative outputs. In a way, the graph resembles the absolute value of sin(x), though with a different shape." + ], + "metadata": { + "id": "dMVcqrfihf0P" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 3. Subplots: Trig, Inverse, Exp, and Log" + ], + "metadata": { + "id": "4-5A1OkdfHXq" + } + }, + { + "cell_type": "code", + "source": [ + "x = np.--------(-1, 1, 400)\n", + "x2 = --------.linspace(0.1, 2, 400) # For log and exp\n", + "\n", + "# based on the number of subplots what should be the dimensions in the following line?\n", + "fig, axs = plt.subplots(--------, --------, figsize=(16, 8))\n", + "axs[0,0].plot(x, np.sin(x)); axs[0,0].set_title(\"sin(x)\")\n", + "axs[0,1].plot(x, np.cos(x)); axs[0,1].set_title(\"cos(x)\")\n", + "axs[0,2].plot(x, np.tan(x)); axs[0,2].set_title(\"tan(x)\")\n", + "axs[0,3].plot(x, np.arcsin(x)); axs[0,3].set_title(\"arcsin(x)\")\n", + "axs[1,0].plot(x, np.arccos(x)); axs[1,0].set_title(\"arccos(x)\")\n", + "axs[1,1].plot(x, np.arctan(x)); axs[1,1].set_title(\"arctan(x)\")\n", + "axs[1,2].plot(x2, np.exp(x2)); axs[1,2].set_title(\"exp(x)\")\n", + "axs[1,3].plot(x2, np.log(x2)); axs[1,3].set_title(\"log(x)\")\n", + "\n", + "plt.tight_layout()\n", + "plt.--------()\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 807 + }, + "id": "DxocsCu6fGOR", + "outputId": "5864a5cc-5776-45bd-99f7-028c64e301af" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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+ }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:\n", + "\n", + "This diagrams demonstrate the function with they reveresed ones. the reversed ones are cuased by reflecting the original one across the x=y line.\n", + "\n" + ], + "metadata": { + "id": "thpsEzFVikPh" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 4. Features of the Sigmoid Function" + ], + "metadata": { + "id": "WAidrU51fMqB" + } + }, + { + "cell_type": "code", + "source": [ + "\n", + "def sigmoid(x):\n", + " return --------\n", + "\n", + "x = np.linspace(-10, 10, 200)\n", + "y = --------(x)\n", + "\n", + "plt.plot(x, y)\n", + "plt.title(\"Sigmoid Function\")\n", + "plt.xlabel(\"x\")\n", + "plt.ylabel(\"σ(x)\")\n", + "plt.grid(True)\n", + "plt.show()\n", + "\n", + "print(\"Range:\", (y.min(), y.max()), \"| At x=0:\", sigmoid(0))\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 489 + }, + "id": "lehJV_vNfLXx", + "outputId": "9cfc6ec4-9dfc-4220-a955-4d6a11fac8f3" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Range: (np.float64(4.5397868702434395e-05), np.float64(0.9999546021312976)) | At x=0: 0.5\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** Its the diagram of sigmoid function which is y= 1/1+e^(-x).. in x=0 , the result is 1/2." + ], + "metadata": { + "id": "DUONuiAxilL0" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 5. Derivatives of Famous Functions" + ], + "metadata": { + "id": "1FjRt_31fXsx" + } + }, + { + "cell_type": "code", + "source": [ + "x = np.linspace(-3, 3, 400)\n", + "plt.--------(x, x**2, label=\"x²\")\n", + "plt.plot(x, --------, '--', label=\"d/dx x²\")\n", + "\n", + "x = np.linspace(0, 3, 400)\n", + "plt.plot(x, np.exp(x), label=\"exp(x)\")\n", + "plt.plot(x, --------, '--', label=\"d/dx exp(x)\")\n", + "\n", + "plt.plot(x, np.log(x+0.1), label=\"log(x)\")\n", + "plt.plot(x, --------, '--', label=\"d/dx log(x)\")\n", + "\n", + "plt.legend()\n", + "plt.title(\"Functions and Their Derivatives\")\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 452 + }, + "id": "vyyGBuHRfZ4n", + "outputId": "7a89fce7-f973-46bc-dca3-c452f1a34561" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** There are some of important with their deriatives. As the diagram shows, the x^2 deriative is 2x which is the dotted orange line. The exp deriative is same as itself, so that they diagram overlap. the ln(x) deriative is 1/x, which diagram is the dotted brown line." + ], + "metadata": { + "id": "DURup9u5il4-" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 6. Gradient of Selected Functions" + ], + "metadata": { + "id": "w3QIKTZQf1ZK" + } + }, + { + "cell_type": "code", + "source": [ + "# search and learn more about sumpy\n", + "import sympy as sp\n", + "\n", + "# Define symbolic variables\n", + "x, y = sp.--------('x y')\n", + "\n", + "# Define the function\n", + "f = x**2 * y + sp.sin(y)\n", + "\n", + "# Compute partial derivatives\n", + "df_dx = sp.diff(f, x)\n", + "df_dy = sp.diff(f, y)\n", + "\n", + "print(\"Function: f(x, y) =\", f)\n", + "print(\"Partial derivative w.r.t x (∂f/∂x):\", df_dx)\n", + "print(\"Partial derivative w.r.t y (∂f/∂y):\", df_dy)\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Eeudgf3-f0Ie", + "outputId": "aeffb463-3230-4b98-8131-623b4fbf624c" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Function: f(x, y) = x**2*y + sin(y)\n", + "Partial derivative w.r.t x (∂f/∂x): 2*x*y\n", + "Partial derivative w.r.t y (∂f/∂y): x**2 + cos(y)\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 👀🔎 What do you see?\n", + "\n", + "#### **your answer:** I'm seeing the partial deriatives (gradient) of the f(x,y) function. in (∂f/∂x) the second sentence which included only the independent variable (y) , would be consider as zero. the first sentence included x and y but we only consider dependent variable (x). One the other hand, in (∂f/∂y) we consider the x as a number, so that the fisrt sentence deriative is x^2 and the second one is deriative of sin(y) , which is cos(y)" + ], + "metadata": { + "id": "wDlIJkmYimg9" + } + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.4/AI-DS_Nexus__A0_4_Amirhossein_Zandi_8fca80.ipynb b/a0.1/a0.4/AI-DS_Nexus__A0_4_Amirhossein_Zandi_8fca80.ipynb new file mode 100644 index 0000000..83857d1 --- /dev/null +++ b/a0.1/a0.4/AI-DS_Nexus__A0_4_Amirhossein_Zandi_8fca80.ipynb @@ -0,0 +1,280 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "A1k4HkdO05Yu" + }, + "source": [ + "# 📓 Assignment 4 — Linear Algebra Fundamentals\n", + "\n", + "*Vectors & Matrices for Everyday Coding*\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "mBNupqPj1B1_" + }, + "source": [ + "## Welcome back, intrepid coder! 🚀\n", + "In this notebook-styled brief you’ll move from single-direction vectors to multi-direction matrices—core tools behind graphics, robotics, optimisation and (of course) machine-learning. Each mini-section mixes quick notes, a tiny real-world scenario, and hands-on # TODO code shaped for beginners.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "zD-AyQCe1Y9e" + }, + "source": [ + "## 🧭 Vectors 101\n", + "\n", + "| Concept | Quick reminder |\n", + "|---------------------|--------------------------------------------------|\n", + "| Representation | 1-D NumPy array — `np.array([x, y, z])` |\n", + "| Length (norm) | `np.linalg.norm(v)` |\n", + "| Dot / inner product | `v.dot(w)` or `np.inner(v, w)` |\n", + "| Unit vector | `v / np.linalg.norm(v)` |\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "AWVTIlQP0ysC" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "v shape: (4, 2, 3), v ndim: 3\n", + "Norm of v ===> 28.478061731796284\n", + "---------------------------------------------------\n", + "w shape: (4, 3, 2), w ndim: 3\n", + "Dot product of v and w ====> [[[ 33 67]\n", + " [ 66 85]]\n", + "\n", + " [[134 125]\n", + " [114 110]]\n", + "\n", + " [[ 29 68]\n", + " [ 57 75]]\n", + "\n", + " [[ 49 97]\n", + " [106 80]]]\n", + "---------------------------------------------------\n", + "dot_product shape: (4, 2, 2), dot_product ndim: 3\n" + ] + } + ], + "source": [ + "# Run once per session\n", + "import numpy as np\n", + "\n", + "# TODO 1: create a 3-D vector named v\n", + "# TODO 2: print its length\n", + "# TODO 3: build a second vector w and output the dot product\n", + "\n", + "v = np.random.randint(1,10,size=(4 , 2 , 3))\n", + "print(f\"v shape: {v.shape}, v ndim: {v.ndim}\")\n", + "print(f\"Norm of v ===> {np.linalg.norm(v)}\")\n", + "print(\"---------------------------------------------------\")\n", + "\n", + "w = np.random.randint(1,10,size=(4 , 3 , 2))\n", + "print(f\"w shape: {w.shape}, w ndim: {w.ndim}\")\n", + "\n", + "dot_product = np.matmul(v, w)\n", + "print(f\"Dot product of v and w ====> {dot_product}\")\n", + "print(\"---------------------------------------------------\")\n", + "print(f\"dot_product shape: {dot_product.shape}, dot_product ndim: {dot_product.ndim}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "c_iB5_0A1rg7" + }, + "source": [ + "### 🚁 Practical Scenario — “Drone hop”\n", + "A mini-drone lifts off at (2 m, 1 m) and lands at (7 m, 4 m).\n", + "Calculate its displacement vector, travel distance, and orientation along the x-axis." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "Rq-tHCkF1x3p" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Displacement ==> [5 3]\n", + "shape of displacement ==> (2,)\n", + "Distance ==> 5.830951894845301\n", + "Unit ==> [0.85749293 0.51449576]\n", + "Dot_x ==> 5\n" + ] + } + ], + "source": [ + "p_start = np.array([2,1])\n", + "p_end = np.array([7,4])\n", + "\n", + "displacement = np.subtract(p_end, p_start)\n", + "distance = np.linalg.norm(displacement)\n", + "unit = displacement / distance\n", + "dot_x = np.dot(displacement , [1,0])\n", + "\n", + "print(f\"Displacement ==> {displacement}\")\n", + "print(f\"shape of displacement ==> {displacement.shape}\")\n", + "print(f\"Distance ==> {distance}\")\n", + "print(f\"Unit ==> {unit}\")\n", + "print(f\"Dot_x ==> {dot_x}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "vqX_pXGq16Af" + }, + "source": [ + "## 🔢 Matrices 101\n", + "\n", + "| Operation | NumPy one-liner |\n", + "|------------------------|--------------------------------------------------|\n", + "| Transpose | `A.T` |\n", + "| Determinant | `np.linalg.det(A)` |\n", + "| Inverse | `np.linalg.inv(A)` (works only if `det(A) ≠ 0`) |\n", + "| Matrix-vector multiply | `A @ v` |\n", + "| Matrix-matrix multiply | `A @ B` |\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "yycidpaj2BAv" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "a shape ==> (2, 2), a ndim ==> 2\n", + "-----------------------------------------------\n", + "Det of a ==> -46.0\n", + "A_inv ==> [[-0.04347826 0.17391304]\n", + " [ 0.15217391 -0.10869565]]\n" + ] + } + ], + "source": [ + "# TODO 4: build a 2×2 matrix A\n", + "# TODO 5: print its determinant\n", + "# TODO 6: if invertible, compute and print A_inv\n", + "\n", + "a = np.random.randint(1 , 10 , size=(2,2))\n", + "print(f\"a shape ==> {a.shape}, a ndim ==> {a.ndim}\")\n", + "print(\"-----------------------------------------------\")\n", + "\n", + "det_a = np.linalg.det(a)\n", + "print(f\"Det of a ==> {det_a}\")\n", + "\n", + "a_inv = np.linalg.inv(a)\n", + "print(f\"A_inv ==> {a_inv}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "C-ikgDhF2DFn" + }, + "source": [ + "### 🎯 Practical Scenario — “Rotate that hop”\n", + "Rotate the drone’s displacement vector 30° counter-clockwise, then verify that the inverse rotation brings it back." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "SgmIesbf2G65" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "r ==> [[ 0.8660254 -0.5 ]\n", + " [ 0.5 0.8660254]]\n", + "---------------------------------------------\n", + "shape of r ==> (2, 2)\n", + "shape of d ==> (2,)\n", + "shape of d_rotate ==> (2,)\n", + "Theta ==> 0.5235987755982988\n", + "Determinant of r ==> 1.0\n", + "Back rotate is equal to d_roate?? ===> True\n" + ] + } + ], + "source": [ + "theta = np.deg2rad(30)\n", + "\n", + "r = np.array([[np.cos(theta), -np.sin(theta)],\n", + " [np.sin(theta), np.cos(theta)]])\n", + "\n", + "det_r = np.linalg.det(r)\n", + "\n", + "d_rotate = np.matmul(r, displacement)\n", + "d_back_rotate = np.matmul(np.linalg.inv(r), d_rotate)\n", + "\n", + "print(f\"r ==> {r}\")\n", + "print(\"---------------------------------------------\")\n", + "print(f\"shape of r ==> {r.shape}\")\n", + "print(f\"shape of d ==> {displacement.shape}\")\n", + "print(f\"shape of d_rotate ==> {d_rotate.shape}\")\n", + "print(f\"Theta ==> {theta}\")\n", + "print(f\"Determinant of r ==> {det_r}\")\n", + "print(f\"Back rotate is equal to d_roate?? ===> {np.allclose(d_back_rotate , displacement)}\")" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.4/AI-DS_Nexus__A0_4_Javid_Mohammadi_a60d6f.ipynb b/a0.1/a0.4/AI-DS_Nexus__A0_4_Javid_Mohammadi_a60d6f.ipynb new file mode 100644 index 0000000..ed08513 --- /dev/null +++ b/a0.1/a0.4/AI-DS_Nexus__A0_4_Javid_Mohammadi_a60d6f.ipynb @@ -0,0 +1,241 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "A1k4HkdO05Yu" + }, + "source": [ + "# 📓 Assignment 4 — Linear Algebra Fundamentals\n", + "\n", + "*Vectors & Matrices for Everyday Coding*\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "mBNupqPj1B1_" + }, + "source": [ + "## Welcome back, intrepid coder! 🚀\n", + "In this notebook-styled brief you’ll move from single-direction vectors to multi-direction matrices—core tools behind graphics, robotics, optimisation and (of course) machine-learning. Each mini-section mixes quick notes, a tiny real-world scenario, and hands-on # TODO code shaped for beginners.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "zD-AyQCe1Y9e" + }, + "source": [ + "## 🧭 Vectors 101\n", + "\n", + "| Concept | Quick reminder |\n", + "|---------------------|--------------------------------------------------|\n", + "| Representation | 1-D NumPy array — `np.array([x, y, z])` |\n", + "| Length (norm) | `np.linalg.norm(v)` |\n", + "| Dot / inner product | `v.dot(w)` or `np.inner(v, w)` |\n", + "| Unit vector | `v / np.linalg.norm(v)` |\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "AWVTIlQP0ysC", + "outputId": "05a04eff-7c18-4005-e9fd-a24ea3d9a962" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "The length of the vector is: 12.25\n", + "The dot product is: 108\n" + ] + } + ], + "source": [ + "# Run once per session\n", + "import numpy as np\n", + "\n", + "# TODO 1: create a 3-D vector named v\n", + "v = np.array([1, 7, 10])\n", + "\n", + "# TODO 2: print its length\n", + "print(f\"The length of the vector is: {np.linalg.norm(v):.2f}\")\n", + "\n", + "# TODO 3: build a second vector w and output the dot product\n", + "w = np.array([13, 5, 6])\n", + "print(f\"The dot product is: {v@w}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "c_iB5_0A1rg7" + }, + "source": [ + "### 🚁 Practical Scenario — “Drone hop”\n", + "A mini-drone lifts off at (2 m, 1 m) and lands at (7 m, 4 m).\n", + "Calculate its displacement vector, travel distance, and orientation along the x-axis." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Rq-tHCkF1x3p", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "3e793737-46b8-4f9c-a354-94099bbea3fc" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Displacement: [5 3]\n", + "Distance: 5.830951894845301\n", + "Unit direction: [0.85749293 0.51449576]\n", + "Dot-product with x-axis: 5\n" + ] + } + ], + "source": [ + "p_start = np.array([2, 1])\n", + "p_end = np.array([7, 4])\n", + "\n", + "# displacement\n", + "d = p_end - p_start # ➡️ vector from start to end\n", + "dist = np.linalg.norm(d) # 🏁 distance travelled\n", + "unit = d / dist # ↗️ unit direction\n", + "dot_x = d.dot(np.array([1, 0])) # projection on x-axis\n", + "\n", + "print(\"Displacement:\", d)\n", + "print(\"Distance:\", dist)\n", + "print(\"Unit direction:\", unit)\n", + "print(\"Dot-product with x-axis:\", dot_x)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "vqX_pXGq16Af" + }, + "source": [ + "## 🔢 Matrices 101\n", + "\n", + "| Operation | NumPy one-liner |\n", + "|------------------------|--------------------------------------------------|\n", + "| Transpose | `A.T` |\n", + "| Determinant | `np.linalg.det(A)` |\n", + "| Inverse | `np.linalg.inv(A)` (works only if `det(A) ≠ 0`) |\n", + "| Matrix-vector multiply | `A @ v` |\n", + "| Matrix-matrix multiply | `A @ B` |\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "yycidpaj2BAv", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "8f84f49c-6e27-42c4-eab2-834093f93618" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Matrix's determinant is: -4.00\n", + "The inverted matrix is:\n", + "[[ 0. 1. ]\n", + " [ 0.25 -0.5 ]]\n" + ] + } + ], + "source": [ + "# TODO 4: build a 2×2 matrix A\n", + "A = np.array([[2, 4], [1, 0]])\n", + "\n", + "# TODO 5: print its determinant\n", + "det = np.linalg.det(A)\n", + "print(f\"Matrix's determinant is: {det:.2f}\")\n", + "\n", + "# TODO 6: if invertible, compute and print A_inv\n", + "if det == 0:\n", + " print(\"The matrix is not invertible.\")\n", + "else:\n", + " A_inv = np.linalg.inv(A)\n", + " print(f\"The inverted matrix is:\\n{A_inv}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "C-ikgDhF2DFn" + }, + "source": [ + "### 🎯 Practical Scenario — “Rotate that hop”\n", + "Rotate the drone’s displacement vector 30° counter-clockwise, then verify that the inverse rotation brings it back." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "SgmIesbf2G65", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "71b8afb4-be19-4ff0-c0eb-ca02247c2dc7" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Rotation matrix determinant: 1.0\n", + "Rotated vector: [2.83012702 5.09807621]\n", + "Back-rotated equals original? True\n" + ] + } + ], + "source": [ + "theta = np.deg2rad(30) # 🔄 convert degrees to radians\n", + "R = np.array([[np.cos(theta), -np.sin(theta)],\n", + " [np.sin(theta), np.cos(theta)]])\n", + "\n", + "det_R = np.linalg.det(R) # should be 1.0 (pure rotation)\n", + "\n", + "d_rot = R @ d # rotated displacement\n", + "d_back = np.linalg.inv(R) @ d_rot\n", + "\n", + "print(\"Rotation matrix determinant:\", det_R)\n", + "print(\"Rotated vector:\", d_rot)\n", + "print(\"Back-rotated equals original?\", np.allclose(d_back, d))" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} \ No newline at end of file diff --git a/a0.1/a0.4/AI-DS_Nexus__A0_4_MrAshki.ipynb b/a0.1/a0.4/AI-DS_Nexus__A0_4_MrAshki.ipynb new file mode 100644 index 0000000..d88f8fb --- /dev/null +++ b/a0.1/a0.4/AI-DS_Nexus__A0_4_MrAshki.ipynb @@ -0,0 +1,258 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📓 Assignment 4 — Linear Algebra Fundamentals\n", + "\n", + "*Vectors & Matrices for Everyday Coding*\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n", + "\n" + ], + "metadata": { + "id": "A1k4HkdO05Yu" + } + }, + { + "cell_type": "markdown", + "source": [ + "## Welcome back, intrepid coder! 🚀\n", + "In this notebook-styled brief you’ll move from single-direction vectors to multi-direction matrices—core tools behind graphics, robotics, optimisation and (of course) machine-learning. Each mini-section mixes quick notes, a tiny real-world scenario, and hands-on # TODO code shaped for beginners.\n" + ], + "metadata": { + "id": "mBNupqPj1B1_" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 🧭 Vectors 101\n", + "\n", + "| Concept | Quick reminder |\n", + "|---------------------|--------------------------------------------------|\n", + "| Representation | 1-D NumPy array — `np.array([x, y, z])` |\n", + "| Length (norm) | `np.linalg.norm(v)` |\n", + "| Dot / inner product | `v.dot(w)` or `np.inner(v, w)` |\n", + "| Unit vector | `v / np.linalg.norm(v)` |\n" + ], + "metadata": { + "id": "zD-AyQCe1Y9e" + } + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "AWVTIlQP0ysC", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "2529013a-a7e8-4aa6-cfa9-997c8a658b5a" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "طول بردار برابر است با: 5.0\n", + "ضرب داخلی برابر است با: 11\n" + ] + } + ], + "source": [ + "# Run once per session\n", + "import numpy as np\n", + "\n", + "# TODO 1: create a 3-D vector named v\n", + "# TODO 2: print its length\n", + "# TODO 3: build a second vector w and output the dot product\n", + "\n", + "\n", + "\n", + "v = np.array([3, 4, 0])\n", + "\n", + "\n", + "length_v = np.linalg.norm(v)\n", + "print(f\"طول بردار برابر است با: {length_v}\")\n", + "\n", + "\n", + "w = np.array([1, 2, 5])\n", + "dot_product = v.dot(w)\n", + "print(f\"ضرب داخلی برابر است با: {dot_product}\")\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 🚁 Practical Scenario — “Drone hop”\n", + "A mini-drone lifts off at (2 m, 1 m) and lands at (7 m, 4 m).\n", + "Calculate its displacement vector, travel distance, and orientation along the x-axis." + ], + "metadata": { + "id": "c_iB5_0A1rg7" + } + }, + { + "cell_type": "code", + "source": [ + "p_start = np.array([2, 1])\n", + "p_end = np.array([7, 4])\n", + "\n", + "# displacement\n", + "d = p_end - p_start # ➡️ vector from start to end\n", + "dist = np.linalg.norm(d) # 🏁 distance travelled\n", + "unit = d / dist # ↗️ unit direction\n", + "dot_x = d.dot(np.array([1, 0])) # projection on x-axis\n", + "\n", + "print(\"Displacement:\", d)\n", + "print(\"Distance:\", dist)\n", + "print(\"Unit direction:\", unit)\n", + "print(\"Dot-product with x-axis:\", dot_x)\n" + ], + "metadata": { + "id": "Rq-tHCkF1x3p", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "cb4e0323-d715-4070-fd67-a765bd93680e" + }, + "execution_count": 4, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Displacement: [5 3]\n", + "Distance: 5.830951894845301\n", + "Unit direction: [0.85749293 0.51449576]\n", + "Dot-product with x-axis: 5\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 🔢 Matrices 101\n", + "\n", + "| Operation | NumPy one-liner |\n", + "|------------------------|--------------------------------------------------|\n", + "| Transpose | `A.T` |\n", + "| Determinant | `np.linalg.det(A)` |\n", + "| Inverse | `np.linalg.inv(A)` (works only if `det(A) ≠ 0`) |\n", + "| Matrix-vector multiply | `A @ v` |\n", + "| Matrix-matrix multiply | `A @ B` |\n" + ], + "metadata": { + "id": "vqX_pXGq16Af" + } + }, + { + "cell_type": "code", + "source": [ + "# TODO 4: build a 2×2 matrix A\n", + "# TODO 5: print its determinant\n", + "# TODO 6: if invertible, compute and print A_inv\n", + "\n", + "A = np.array([[1, 2],\n", + " [3, 4]])\n", + "det_A = np.linalg.det(A)\n", + "print(f\"دترمینای ماتریس A: {det_A}\")\n", + "if det_A != 0:\n", + " A_inv = np.linalg.inv(A)\n", + " print(\"معکوس ماتریس A\")\n", + " print(A_inv)\n", + "else:\n", + " print(\"معکوس ندارد\")" + ], + "metadata": { + "id": "yycidpaj2BAv", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "75c1af54-c574-43ce-bf0b-079b8700e0fb" + }, + "execution_count": 8, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "دترمینای ماتریس A: -2.0000000000000004\n", + "معکوس ماتریس A\n", + "[[-2. 1. ]\n", + " [ 1.5 -0.5]]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 🎯 Practical Scenario — “Rotate that hop”\n", + "Rotate the drone’s displacement vector 30° counter-clockwise, then verify that the inverse rotation brings it back." + ], + "metadata": { + "id": "C-ikgDhF2DFn" + } + }, + { + "cell_type": "code", + "source": [ + "theta = np.deg2rad(30) # 🔄 convert degrees to radians\n", + "R = np.array([[np.cos(theta), -np.sin(theta)],\n", + " [np.sin(theta), np.cos(theta)]])\n", + "\n", + "det_R = np.linalg.det(R) # should be 1.0 (pure rotation)\n", + "\n", + "d_rot = R @ d # rotated displacement\n", + "d_back = np.linalg.inv(R) @ d_rot\n", + "\n", + "print(\"Rotation matrix determinant:\", det_R)\n", + "print(\"Rotated vector:\", d_rot)\n", + "print(\"Back-rotated equals original?\", np.allclose(d_back, d))\n" + ], + "metadata": { + "id": "SgmIesbf2G65", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "a95d27e8-589c-46a6-943e-c4fb1ca05e94" + }, + "execution_count": 9, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Rotation matrix determinant: 1.0\n", + "Rotated vector: [2.83012702 5.09807621]\n", + "Back-rotated equals original? True\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.4/AI-DS_Nexus__A0_4_Project__RezaShokr.ipynb b/a0.1/a0.4/AI-DS_Nexus__A0_4_Project__RezaShokr.ipynb new file mode 100644 index 0000000..44b68e9 --- /dev/null +++ b/a0.1/a0.4/AI-DS_Nexus__A0_4_Project__RezaShokr.ipynb @@ -0,0 +1,178 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "A1k4HkdO05Yu" + }, + "source": [ + "# 📓 Assignment 4 — Linear Algebra Fundamentals\n", + "\n", + "*Vectors & Matrices for Everyday Coding*\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "mBNupqPj1B1_" + }, + "source": [ + "## Welcome back, intrepid coder! 🚀\n", + "In this notebook-styled brief you’ll move from single-direction vectors to multi-direction matrices—core tools behind graphics, robotics, optimisation and (of course) machine-learning. Each mini-section mixes quick notes, a tiny real-world scenario, and hands-on # TODO code shaped for beginners.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "zD-AyQCe1Y9e" + }, + "source": [ + "## 🧭 Vectors 101\n", + "\n", + "| Concept | Quick reminder |\n", + "|---------------------|--------------------------------------------------|\n", + "| Representation | 1-D NumPy array — `np.array([x, y, z])` |\n", + "| Length (norm) | `np.linalg.norm(v)` |\n", + "| Dot / inner product | `v.dot(w)` or `np.inner(v, w)` |\n", + "| Unit vector | `v / np.linalg.norm(v)` |\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "AWVTIlQP0ysC" + }, + "outputs": [], + "source": [ + "# Run once per session\n", + "import numpy as np\n", + "\n", + "# TODO 1: create a 3-D vector named v\n", + "# TODO 2: print its length\n", + "# TODO 3: build a second vector w and output the dot product\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "c_iB5_0A1rg7" + }, + "source": [ + "### 🚁 Practical Scenario — “Drone hop”\n", + "A mini-drone lifts off at (2 m, 1 m) and lands at (7 m, 4 m).\n", + "Calculate its displacement vector, travel distance, and orientation along the x-axis." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Rq-tHCkF1x3p" + }, + "outputs": [], + "source": [ + "p_start = np.array([2, 1])\n", + "p_end = np.array([7, 4])\n", + "\n", + "# displacement\n", + "d = p_end - p_start # ➡️ vector from start to end\n", + "dist = np.linalg.norm(d) # 🏁 distance travelled\n", + "unit = d / dist # ↗️ unit direction\n", + "dot_x = d.dot(np.array([1, 0])) # projection on x-axis\n", + "\n", + "print(\"Displacement:\", d)\n", + "print(\"Distance:\", dist)\n", + "print(\"Unit direction:\", unit)\n", + "print(\"Dot-product with x-axis:\", dot_x)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "vqX_pXGq16Af" + }, + "source": [ + "## 🔢 Matrices 101\n", + "\n", + "| Operation | NumPy one-liner |\n", + "|------------------------|--------------------------------------------------|\n", + "| Transpose | `A.T` |\n", + "| Determinant | `np.linalg.det(A)` |\n", + "| Inverse | `np.linalg.inv(A)` (works only if `det(A) ≠ 0`) |\n", + "| Matrix-vector multiply | `A @ v` |\n", + "| Matrix-matrix multiply | `A @ B` |\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "yycidpaj2BAv" + }, + "outputs": [], + "source": [ + "# TODO 4: build a 2×2 matrix A\n", + "# TODO 5: print its determinant\n", + "# TODO 6: if invertible, compute and print A_inv\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "C-ikgDhF2DFn" + }, + "source": [ + "### 🎯 Practical Scenario — “Rotate that hop”\n", + "Rotate the drone’s displacement vector 30° counter-clockwise, then verify that the inverse rotation brings it back." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "SgmIesbf2G65" + }, + "outputs": [], + "source": [ + "theta = np.deg2rad(30) # 🔄 convert degrees to radians\n", + "R = np.array([[np.cos(theta), -np.sin(theta)],\n", + " [np.sin(theta), np.cos(theta)]])\n", + "\n", + "det_R = np.linalg.det(R) # should be 1.0 (pure rotation)\n", + "\n", + "d_rot = R @ d # rotated displacement\n", + "d_back = np.linalg.inv(R) @ d_rot\n", + "\n", + "print(\"Rotation matrix determinant:\", det_R)\n", + "print(\"Rotated vector:\", d_rot)\n", + "print(\"Back-rotated equals original?\", np.allclose(d_back, d))\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "DsAi", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.4/AI-DS_Nexus__A0_4_Project_roohi_268383.ipynb b/a0.1/a0.4/AI-DS_Nexus__A0_4_Project_roohi_268383.ipynb new file mode 100644 index 0000000..44b68e9 --- /dev/null +++ b/a0.1/a0.4/AI-DS_Nexus__A0_4_Project_roohi_268383.ipynb @@ -0,0 +1,178 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "A1k4HkdO05Yu" + }, + "source": [ + "# 📓 Assignment 4 — Linear Algebra Fundamentals\n", + "\n", + "*Vectors & Matrices for Everyday Coding*\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "mBNupqPj1B1_" + }, + "source": [ + "## Welcome back, intrepid coder! 🚀\n", + "In this notebook-styled brief you’ll move from single-direction vectors to multi-direction matrices—core tools behind graphics, robotics, optimisation and (of course) machine-learning. Each mini-section mixes quick notes, a tiny real-world scenario, and hands-on # TODO code shaped for beginners.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "zD-AyQCe1Y9e" + }, + "source": [ + "## 🧭 Vectors 101\n", + "\n", + "| Concept | Quick reminder |\n", + "|---------------------|--------------------------------------------------|\n", + "| Representation | 1-D NumPy array — `np.array([x, y, z])` |\n", + "| Length (norm) | `np.linalg.norm(v)` |\n", + "| Dot / inner product | `v.dot(w)` or `np.inner(v, w)` |\n", + "| Unit vector | `v / np.linalg.norm(v)` |\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "AWVTIlQP0ysC" + }, + "outputs": [], + "source": [ + "# Run once per session\n", + "import numpy as np\n", + "\n", + "# TODO 1: create a 3-D vector named v\n", + "# TODO 2: print its length\n", + "# TODO 3: build a second vector w and output the dot product\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "c_iB5_0A1rg7" + }, + "source": [ + "### 🚁 Practical Scenario — “Drone hop”\n", + "A mini-drone lifts off at (2 m, 1 m) and lands at (7 m, 4 m).\n", + "Calculate its displacement vector, travel distance, and orientation along the x-axis." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Rq-tHCkF1x3p" + }, + "outputs": [], + "source": [ + "p_start = np.array([2, 1])\n", + "p_end = np.array([7, 4])\n", + "\n", + "# displacement\n", + "d = p_end - p_start # ➡️ vector from start to end\n", + "dist = np.linalg.norm(d) # 🏁 distance travelled\n", + "unit = d / dist # ↗️ unit direction\n", + "dot_x = d.dot(np.array([1, 0])) # projection on x-axis\n", + "\n", + "print(\"Displacement:\", d)\n", + "print(\"Distance:\", dist)\n", + "print(\"Unit direction:\", unit)\n", + "print(\"Dot-product with x-axis:\", dot_x)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "vqX_pXGq16Af" + }, + "source": [ + "## 🔢 Matrices 101\n", + "\n", + "| Operation | NumPy one-liner |\n", + "|------------------------|--------------------------------------------------|\n", + "| Transpose | `A.T` |\n", + "| Determinant | `np.linalg.det(A)` |\n", + "| Inverse | `np.linalg.inv(A)` (works only if `det(A) ≠ 0`) |\n", + "| Matrix-vector multiply | `A @ v` |\n", + "| Matrix-matrix multiply | `A @ B` |\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "yycidpaj2BAv" + }, + "outputs": [], + "source": [ + "# TODO 4: build a 2×2 matrix A\n", + "# TODO 5: print its determinant\n", + "# TODO 6: if invertible, compute and print A_inv\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "C-ikgDhF2DFn" + }, + "source": [ + "### 🎯 Practical Scenario — “Rotate that hop”\n", + "Rotate the drone’s displacement vector 30° counter-clockwise, then verify that the inverse rotation brings it back." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "SgmIesbf2G65" + }, + "outputs": [], + "source": [ + "theta = np.deg2rad(30) # 🔄 convert degrees to radians\n", + "R = np.array([[np.cos(theta), -np.sin(theta)],\n", + " [np.sin(theta), np.cos(theta)]])\n", + "\n", + "det_R = np.linalg.det(R) # should be 1.0 (pure rotation)\n", + "\n", + "d_rot = R @ d # rotated displacement\n", + "d_back = np.linalg.inv(R) @ d_rot\n", + "\n", + "print(\"Rotation matrix determinant:\", det_R)\n", + "print(\"Rotated vector:\", d_rot)\n", + "print(\"Back-rotated equals original?\", np.allclose(d_back, d))\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "DsAi", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.4/AI-DS_Nexus__A0_4__aminran.ipynb b/a0.1/a0.4/AI-DS_Nexus__A0_4__aminran.ipynb new file mode 100644 index 0000000..c499ab3 --- /dev/null +++ b/a0.1/a0.4/AI-DS_Nexus__A0_4__aminran.ipynb @@ -0,0 +1,230 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📓 Assignment 4 — Linear Algebra Fundamentals\n", + "\n", + "*Vectors & Matrices for Everyday Coding*\n", + "\n" + ], + "metadata": { + "id": "A1k4HkdO05Yu" + } + }, + { + "cell_type": "markdown", + "source": [ + "## Welcome back, intrepid coder! 🚀\n", + "In this notebook-styled brief you’ll move from single-direction vectors to multi-direction matrices—core tools behind graphics, robotics, optimisation and (of course) machine-learning. Each mini-section mixes quick notes, a tiny real-world scenario, and hands-on # TODO code shaped for beginners.\n" + ], + "metadata": { + "id": "mBNupqPj1B1_" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 🧭 Vectors 101\n", + "\n", + "| Concept | Quick reminder |\n", + "|---------------------|--------------------------------------------------|\n", + "| Representation | 1-D NumPy array — `np.array([x, y, z])` |\n", + "| Length (norm) | `np.linalg.norm(v)` |\n", + "| Dot / inner product | `v.dot(w)` or `np.inner(v, w)` |\n", + "| Unit vector | `v / np.linalg.norm(v)` |\n" + ], + "metadata": { + "id": "zD-AyQCe1Y9e" + } + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "AWVTIlQP0ysC", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "771f580b-3b78-4083-a757-3d701810fbc9" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "3.7416573867739413\n", + "44\n" + ] + } + ], + "source": [ + "# Run once per session\n", + "import numpy as np\n", + "\n", + "# TODO 1: create a 3-D vector named v\n", + "v=np.array([1,2,3])\n", + "# TODO 2: print its length\n", + "print(np.linalg.norm(v))\n", + "# TODO 3: build a second vector w and output the dot product\n", + "w=np.array([6,7,8])\n", + "print(v.dot(w))" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 🚁 Practical Scenario — “Drone hop”\n", + "A mini-drone lifts off at (2 m, 1 m) and lands at (7 m, 4 m).\n", + "Calculate its displacement vector, travel distance, and orientation along the x-axis." + ], + "metadata": { + "id": "c_iB5_0A1rg7" + } + }, + { + "cell_type": "code", + "source": [ + "p_start = np.array([2, 1])\n", + "p_end = np.array([7, 4])\n", + "\n", + "# displacement\n", + "d = p_end - p_start # ➡️ vector from start to end\n", + "dist = np.linalg.norm(d) # 🏁 distance travelled\n", + "unit = d / dist # ↗️ unit direction\n", + "dot_x = d.dot(np.array([1, 0])) # projection on x-axis\n", + "\n", + "print(\"Displacement:\", d)\n", + "print(\"Distance:\", dist)\n", + "print(\"Unit direction:\", unit)\n", + "print(\"Dot-product with x-axis:\", dot_x)\n" + ], + "metadata": { + "id": "Rq-tHCkF1x3p", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "f5b1ca3c-39bf-47d8-adaa-2ba3d99b42fc" + }, + "execution_count": 18, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Displacement: [5 3]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 🔢 Matrices 101\n", + "\n", + "| Operation | NumPy one-liner |\n", + "|------------------------|--------------------------------------------------|\n", + "| Transpose | `A.T` |\n", + "| Determinant | `np.linalg.det(A)` |\n", + "| Inverse | `np.linalg.inv(A)` (works only if `det(A) ≠ 0`) |\n", + "| Matrix-vector multiply | `A @ v` |\n", + "| Matrix-matrix multiply | `A @ B` |\n" + ], + "metadata": { + "id": "vqX_pXGq16Af" + } + }, + { + "cell_type": "code", + "source": [ + "# TODO 4: build a 2×2 matrix A\n", + "A=np.array([[1,2],[3,4]])\n", + "# TODO 5: print its determinant\n", + "det_A=np.linalg.det(A)\n", + "print(det_A)\n", + "# TODO 6: if invertible, compute and print A_inv\n", + "if det_A != 0:\n", + " print(np.linalg.inv(A))" + ], + "metadata": { + "id": "yycidpaj2BAv", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "1fc3bc1b-7f3f-47d2-ba70-82dadb46e0fa" + }, + "execution_count": 19, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "-2.0000000000000004\n", + "[[-2. 1. ]\n", + " [ 1.5 -0.5]]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 🎯 Practical Scenario — “Rotate that hop”\n", + "Rotate the drone’s displacement vector 30° counter-clockwise, then verify that the inverse rotation brings it back." + ], + "metadata": { + "id": "C-ikgDhF2DFn" + } + }, + { + "cell_type": "code", + "source": [ + "theta = np.deg2rad(30) # 🔄 convert degrees to radians\n", + "R = np.array([[np.cos(theta), -np.sin(theta)],\n", + " [np.sin(theta), np.cos(theta)]])\n", + "\n", + "det_R = np.linalg.det(R) # should be 1.0 (pure rotation)\n", + "\n", + "d_rot = R @ d # rotated displacement\n", + "d_back = np.linalg.inv(R) @ d_rot\n", + "\n", + "print(\"Rotation matrix determinant:\", det_R)\n", + "print(\"Rotated vector:\", d_rot)\n", + "print(\"Back-rotated equals original?\", np.allclose(d_back, d))\n" + ], + "metadata": { + "id": "SgmIesbf2G65", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "caedaa23-55b9-4eb8-ac84-56d3e8c932ef" + }, + "execution_count": 20, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Rotation matrix determinant: 1.0\n", + "Rotated vector: [2.83012702 5.09807621]\n", + "Back-rotated equals original? True\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.4/AI-DS_Nexus__A0_4__rsayyareh.ipynb b/a0.1/a0.4/AI-DS_Nexus__A0_4__rsayyareh.ipynb new file mode 100644 index 0000000..16cc8e2 --- /dev/null +++ b/a0.1/a0.4/AI-DS_Nexus__A0_4__rsayyareh.ipynb @@ -0,0 +1,263 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "A1k4HkdO05Yu" + }, + "source": [ + "# 📓 Assignment 4 — Linear Algebra Fundamentals\n", + "\n", + "*Vectors & Matrices for Everyday Coding*\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "mBNupqPj1B1_" + }, + "source": [ + "## Welcome back, intrepid coder! 🚀\n", + "In this notebook-styled brief you’ll move from single-direction vectors to multi-direction matrices—core tools behind graphics, robotics, optimisation and (of course) machine-learning. Each mini-section mixes quick notes, a tiny real-world scenario, and hands-on # TODO code shaped for beginners.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "zD-AyQCe1Y9e" + }, + "source": [ + "## 🧭 Vectors 101\n", + "\n", + "| Concept | Quick reminder |\n", + "|---------------------|--------------------------------------------------|\n", + "| Representation | 1-D NumPy array — `np.array([x, y, z])` |\n", + "| Length (norm) | `np.linalg.norm(v)` |\n", + "| Dot / inner product | `v.dot(w)` or `np.inner(v, w)` |\n", + "| Unit vector | `v / np.linalg.norm(v)` |\n" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "id": "AWVTIlQP0ysC" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Length of matrix v = 3\n" + ] + }, + { + "data": { + "text/plain": [ + "array([[[ 66., 78., 90.],\n", + " [ 147., 177., 207.],\n", + " [ 228., 276., 324.]],\n", + "\n", + " [[ 903., 969., 1035.],\n", + " [1146., 1230., 1314.],\n", + " [1389., 1491., 1593.]],\n", + "\n", + " [[2670., 2832., 2952.],\n", + " [3069., 3255., 3393.],\n", + " [3429., 3637., 3791.]]])" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Run once per session\n", + "import numpy as np\n", + "\n", + "# TODO 1: create a 3-D vector named v\n", + "# TODO 2: print its length\n", + "# TODO 3: build a second vector w and output the dot product\n", + "v = np.array([\n", + " [[1, 2, 3], [4, 5, 6], [7, 8, 9]],\n", + " [[10, 11, 12], [13, 14, 15], [16, 17, 18]],\n", + " [[19, 20, 21], [22, 23, 24], [24, 26, 27]]\n", + " ])\n", + "print(f\"Length of matrix v = {len(v)}\")\n", + "w = np.ones(27).reshape(3, 3, 3)\n", + "w += v * 2\n", + "v@w\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "c_iB5_0A1rg7" + }, + "source": [ + "### 🚁 Practical Scenario — “Drone hop”\n", + "A mini-drone lifts off at (2 m, 1 m) and lands at (7 m, 4 m).\n", + "Calculate its displacement vector, travel distance, and orientation along the x-axis." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "id": "Rq-tHCkF1x3p" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Displacement: [5 3]\n", + "Distance: 5.830951894845301\n", + "Unit direction: [0.85749293 0.51449576]\n", + "Dot-product with x-axis: 5\n" + ] + } + ], + "source": [ + "p_start = np.array([2, 1])\n", + "p_end = np.array([7, 4])\n", + "\n", + "# displacement\n", + "d = p_end - p_start # ➡️ vector from start to end\n", + "dist = np.linalg.norm(d) # 🏁 distance travelled\n", + "unit = d / dist # ↗️ unit direction\n", + "dot_x = d.dot(np.array([1, 0])) # projection on x-axis\n", + "\n", + "print(\"Displacement:\", d)\n", + "print(\"Distance:\", dist)\n", + "print(\"Unit direction:\", unit)\n", + "print(\"Dot-product with x-axis:\", dot_x)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "vqX_pXGq16Af" + }, + "source": [ + "## 🔢 Matrices 101\n", + "\n", + "| Operation | NumPy one-liner |\n", + "|------------------------|--------------------------------------------------|\n", + "| Transpose | `A.T` |\n", + "| Determinant | `np.linalg.det(A)` |\n", + "| Inverse | `np.linalg.inv(A)` (works only if `det(A) ≠ 0`) |\n", + "| Matrix-vector multiply | `A @ v` |\n", + "| Matrix-matrix multiply | `A @ B` |\n" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "id": "yycidpaj2BAv" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "A determinant is -2.0000000000000004\n", + "nInverse of A : [[-2. 1. ]\n", + " [ 1.5 -0.5]]\n" + ] + } + ], + "source": [ + "# TODO 4: build a 2×2 matrix A\n", + "# TODO 5: print its determinant\n", + "# TODO 6: if invertible, compute and print A_inv\n", + "A = np.array([[1, 2], [3, 4]])\n", + "det = np.linalg.det(A)\n", + "print(f\"A determinant is {det}\")\n", + "if det!=0:\n", + " A_inv = np.linalg.inv(A)\n", + " print(f\"nInverse of A : {A_inv}\")\n", + "else:\n", + " print(\"A has no inverse\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "C-ikgDhF2DFn" + }, + "source": [ + "### 🎯 Practical Scenario — “Rotate that hop”\n", + "Rotate the drone’s displacement vector 30° counter-clockwise, then verify that the inverse rotation brings it back." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "id": "SgmIesbf2G65" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Rotation matrix determinant: 1.0\n", + "Rotated vector: [2.83012702 5.09807621]\n", + "Back-rotated equals original? True\n" + ] + } + ], + "source": [ + "theta = np.deg2rad(30) # 🔄 convert degrees to radians\n", + "R = np.array([[np.cos(theta), -np.sin(theta)],\n", + " [np.sin(theta), np.cos(theta)]])\n", + "\n", + "det_R = np.linalg.det(R) # should be 1.0 (pure rotation)\n", + "\n", + "d_rot = R @ d # rotated displacement\n", + "d_back = np.linalg.inv(R) @ d_rot\n", + "\n", + "print(\"Rotation matrix determinant:\", det_R)\n", + "print(\"Rotated vector:\", d_rot)\n", + "print(\"Back-rotated equals original?\", np.allclose(d_back, d))\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.7" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git "a/a0.1/a0.4/AI\342\200\223DS_Nexus___A0_4_Linear_Algebra_(vectors,_matrices)__RoohollaAlikhani.ipynb" "b/a0.1/a0.4/AI\342\200\223DS_Nexus___A0_4_Linear_Algebra_(vectors,_matrices)__RoohollaAlikhani.ipynb" new file mode 100644 index 0000000..44b68e9 --- /dev/null +++ "b/a0.1/a0.4/AI\342\200\223DS_Nexus___A0_4_Linear_Algebra_(vectors,_matrices)__RoohollaAlikhani.ipynb" @@ -0,0 +1,178 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "A1k4HkdO05Yu" + }, + "source": [ + "# 📓 Assignment 4 — Linear Algebra Fundamentals\n", + "\n", + "*Vectors & Matrices for Everyday Coding*\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "mBNupqPj1B1_" + }, + "source": [ + "## Welcome back, intrepid coder! 🚀\n", + "In this notebook-styled brief you’ll move from single-direction vectors to multi-direction matrices—core tools behind graphics, robotics, optimisation and (of course) machine-learning. Each mini-section mixes quick notes, a tiny real-world scenario, and hands-on # TODO code shaped for beginners.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "zD-AyQCe1Y9e" + }, + "source": [ + "## 🧭 Vectors 101\n", + "\n", + "| Concept | Quick reminder |\n", + "|---------------------|--------------------------------------------------|\n", + "| Representation | 1-D NumPy array — `np.array([x, y, z])` |\n", + "| Length (norm) | `np.linalg.norm(v)` |\n", + "| Dot / inner product | `v.dot(w)` or `np.inner(v, w)` |\n", + "| Unit vector | `v / np.linalg.norm(v)` |\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "AWVTIlQP0ysC" + }, + "outputs": [], + "source": [ + "# Run once per session\n", + "import numpy as np\n", + "\n", + "# TODO 1: create a 3-D vector named v\n", + "# TODO 2: print its length\n", + "# TODO 3: build a second vector w and output the dot product\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "c_iB5_0A1rg7" + }, + "source": [ + "### 🚁 Practical Scenario — “Drone hop”\n", + "A mini-drone lifts off at (2 m, 1 m) and lands at (7 m, 4 m).\n", + "Calculate its displacement vector, travel distance, and orientation along the x-axis." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Rq-tHCkF1x3p" + }, + "outputs": [], + "source": [ + "p_start = np.array([2, 1])\n", + "p_end = np.array([7, 4])\n", + "\n", + "# displacement\n", + "d = p_end - p_start # ➡️ vector from start to end\n", + "dist = np.linalg.norm(d) # 🏁 distance travelled\n", + "unit = d / dist # ↗️ unit direction\n", + "dot_x = d.dot(np.array([1, 0])) # projection on x-axis\n", + "\n", + "print(\"Displacement:\", d)\n", + "print(\"Distance:\", dist)\n", + "print(\"Unit direction:\", unit)\n", + "print(\"Dot-product with x-axis:\", dot_x)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "vqX_pXGq16Af" + }, + "source": [ + "## 🔢 Matrices 101\n", + "\n", + "| Operation | NumPy one-liner |\n", + "|------------------------|--------------------------------------------------|\n", + "| Transpose | `A.T` |\n", + "| Determinant | `np.linalg.det(A)` |\n", + "| Inverse | `np.linalg.inv(A)` (works only if `det(A) ≠ 0`) |\n", + "| Matrix-vector multiply | `A @ v` |\n", + "| Matrix-matrix multiply | `A @ B` |\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "yycidpaj2BAv" + }, + "outputs": [], + "source": [ + "# TODO 4: build a 2×2 matrix A\n", + "# TODO 5: print its determinant\n", + "# TODO 6: if invertible, compute and print A_inv\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "C-ikgDhF2DFn" + }, + "source": [ + "### 🎯 Practical Scenario — “Rotate that hop”\n", + "Rotate the drone’s displacement vector 30° counter-clockwise, then verify that the inverse rotation brings it back." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "SgmIesbf2G65" + }, + "outputs": [], + "source": [ + "theta = np.deg2rad(30) # 🔄 convert degrees to radians\n", + "R = np.array([[np.cos(theta), -np.sin(theta)],\n", + " [np.sin(theta), np.cos(theta)]])\n", + "\n", + "det_R = np.linalg.det(R) # should be 1.0 (pure rotation)\n", + "\n", + "d_rot = R @ d # rotated displacement\n", + "d_back = np.linalg.inv(R) @ d_rot\n", + "\n", + "print(\"Rotation matrix determinant:\", det_R)\n", + "print(\"Rotated vector:\", d_rot)\n", + "print(\"Back-rotated equals original?\", np.allclose(d_back, d))\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "DsAi", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.4/Assignment_04_Danieljaafari.ipynb b/a0.1/a0.4/Assignment_04_Danieljaafari.ipynb new file mode 100644 index 0000000..9fce614 --- /dev/null +++ b/a0.1/a0.4/Assignment_04_Danieljaafari.ipynb @@ -0,0 +1,2 @@ +# Assignment A04 - Daniel Jaafari +Add assignment 04 file diff --git "a/a0.1/a0.4/Copy_of_AI\342\200\223DS_Nexus___A0_4_Linear_Algebra_(vectors,_matrices)__RezaShokr.ipynb" "b/a0.1/a0.4/Copy_of_AI\342\200\223DS_Nexus___A0_4_Linear_Algebra_(vectors,_matrices)__RezaShokr.ipynb" new file mode 100644 index 0000000..9baece3 --- /dev/null +++ "b/a0.1/a0.4/Copy_of_AI\342\200\223DS_Nexus___A0_4_Linear_Algebra_(vectors,_matrices)__RezaShokr.ipynb" @@ -0,0 +1,256 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📓 Assignment 4 — Linear Algebra Fundamentals\n", + "\n", + "*Vectors & Matrices for Everyday Coding*\n", + "\n" + ], + "metadata": { + "id": "A1k4HkdO05Yu" + } + }, + { + "cell_type": "markdown", + "source": [ + "## Welcome back, intrepid coder! 🚀\n", + "In this notebook-styled brief you’ll move from single-direction vectors to multi-direction matrices—core tools behind graphics, robotics, optimisation and (of course) machine-learning. Each mini-section mixes quick notes, a tiny real-world scenario, and hands-on # TODO code shaped for beginners.\n" + ], + "metadata": { + "id": "mBNupqPj1B1_" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 🧭 Vectors 101\n", + "\n", + "| Concept | Quick reminder |\n", + "|---------------------|--------------------------------------------------|\n", + "| Representation | 1-D NumPy array — `np.array([x, y, z])` |\n", + "| Length (norm) | `np.linalg.norm(v)` |\n", + "| Dot / inner product | `v.dot(w)` or `np.inner(v, w)` |\n", + "| Unit vector | `v / np.linalg.norm(v)` |\n" + ], + "metadata": { + "id": "zD-AyQCe1Y9e" + } + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "AWVTIlQP0ysC", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "2aee9cca-569d-4931-96b6-d9557bab0240" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Vector v: [3 4 5]\n", + "Length (‖v‖): 7.0710678118654755\n", + "Vector w: [1 2 3]\n", + "Dot product (v·w): 26\n" + ] + } + ], + "source": [ + "# Run once per session\n", + "import numpy as np\n", + "\n", + "# TODO 1: create a 3-D vector named v\n", + "v = np.array([3, 4, 5])\n", + "# TODO 2: print its length\n", + "length_v = np.linalg.norm(v)\n", + "print(\"Vector v:\", v)\n", + "print(\"Length (‖v‖):\", length_v)\n", + "# TODO 3: build a second vector w and output the dot product\n", + "w = np.array([1, 2, 3])\n", + "dot_product = np.dot(v, w)\n", + "print(\"Vector w:\", w)\n", + "print(\"Dot product (v·w):\", dot_product)" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 🚁 Practical Scenario — “Drone hop”\n", + "A mini-drone lifts off at (2 m, 1 m) and lands at (7 m, 4 m).\n", + "Calculate its displacement vector, travel distance, and orientation along the x-axis." + ], + "metadata": { + "id": "c_iB5_0A1rg7" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "\n", + "p_start = np.array([2, 1])\n", + "p_end = np.array([7, 4])\n", + "\n", + "# displacement\n", + "d = p_end - p_start # ➡️ vector from start to end\n", + "dist = np.linalg.norm(d) # 🏁 distance travelled\n", + "unit = d / dist # ↗️ unit direction\n", + "dot_x = d.dot(np.array([1, 0])) # projection on x-axis\n", + "\n", + "print(\"Displacement:\", d)\n", + "print(\"Distance:\", dist)\n", + "print(\"Unit direction:\", unit)\n", + "print(\"Dot-product with x-axis:\", dot_x)\n" + ], + "metadata": { + "id": "Rq-tHCkF1x3p", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "850824b3-127f-4999-e4fc-3e56095b2b85" + }, + "execution_count": 2, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Displacement: [5 3]\n", + "Distance: 5.830951894845301\n", + "Unit direction: [0.85749293 0.51449576]\n", + "Dot-product with x-axis: 5\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 🔢 Matrices 101\n", + "\n", + "| Operation | NumPy one-liner |\n", + "|------------------------|--------------------------------------------------|\n", + "| Transpose | `A.T` |\n", + "| Determinant | `np.linalg.det(A)` |\n", + "| Inverse | `np.linalg.inv(A)` (works only if `det(A) ≠ 0`) |\n", + "| Matrix-vector multiply | `A @ v` |\n", + "| Matrix-matrix multiply | `A @ B` |\n" + ], + "metadata": { + "id": "vqX_pXGq16Af" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "\n", + "# TODO 4: build a 2×2 matrix A\n", + "A = np.array([[4, 7],\n", + " [2, 6]])\n", + "\n", + "# TODO 5: print its determinant\n", + "det_A = np.linalg.det(A)\n", + "print(\"Matrix A:\\n\", A)\n", + "print(\"Determinant of A:\", det_A)\n", + "\n", + "# TODO 6: if invertible, compute and print A_inv\n", + "if det_A != 0:\n", + " A_inv = np.linalg.inv(A)\n", + " print(\"Inverse of A:\\n\", A_inv)\n", + "else:\n", + " print(\"Matrix A is not invertible (determinant = 0).\")" + ], + "metadata": { + "id": "yycidpaj2BAv", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "4539f7ba-4e3b-41cc-fd5a-f6f02435afdd" + }, + "execution_count": 3, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Matrix A:\n", + " [[4 7]\n", + " [2 6]]\n", + "Determinant of A: 10.000000000000002\n", + "Inverse of A:\n", + " [[ 0.6 -0.7]\n", + " [-0.2 0.4]]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 🎯 Practical Scenario — “Rotate that hop”\n", + "Rotate the drone’s displacement vector 30° counter-clockwise, then verify that the inverse rotation brings it back." + ], + "metadata": { + "id": "C-ikgDhF2DFn" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "\n", + "theta = np.deg2rad(30) # 🔄 convert degrees to radians\n", + "R = np.array([[np.cos(theta), -np.sin(theta)],\n", + " [np.sin(theta), np.cos(theta)]])\n", + "\n", + "det_R = np.linalg.det(R) # should be 1.0 (pure rotation)\n", + "\n", + "d_rot = R @ d # rotated displacement\n", + "d_back = np.linalg.inv(R) @ d_rot\n", + "\n", + "print(\"Rotation matrix determinant:\", det_R)\n", + "print(\"Rotated vector:\", d_rot)\n", + "print(\"Back-rotated equals original?\", np.allclose(d_back, d))\n" + ], + "metadata": { + "id": "SgmIesbf2G65", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "7b81965f-fc47-46c8-a0d9-9a2dce379987" + }, + "execution_count": 4, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Rotation matrix determinant: 1.0\n", + "Rotated vector: [2.83012702 5.09807621]\n", + "Back-rotated equals original? True\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.5/AI-DS_Nexus__A0_5_Amirhossein_Zandi_8fca80.ipynb b/a0.1/a0.5/AI-DS_Nexus__A0_5_Amirhossein_Zandi_8fca80.ipynb new file mode 100644 index 0000000..1731761 --- /dev/null +++ b/a0.1/a0.5/AI-DS_Nexus__A0_5_Amirhossein_Zandi_8fca80.ipynb @@ -0,0 +1,191 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "tacMQNsG2g5S" + }, + "source": [ + "# 📓 Assignment 5 — Probability\n", + "\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n", + "\n", + "## 🎲 Counting & Probability with Cards in Python 🃏\n", + "Learn factorials, combinations, and (conditional) probability — all in one simple card game simulation using only math and random modules." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "_cA_dWDJ2vfr" + }, + "source": [ + "## 🧮 PART 1: Factorial & Combinations\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "aIxoWeNt2ao0" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "6! = 720\n", + "Combinations (6 choose 3): 20\n" + ] + } + ], + "source": [ + "# ---- FACTORIAL & COMBINATIONS ----\n", + "\n", + "import math\n", + "print(\"6! =\", math.factorial(6))\n", + "print(\"Combinations (6 choose 3):\", math.comb(6,3))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "pzy2xD3H3D3o" + }, + "source": [ + "## 🃏 PART 2: Simulating a Deck of Cards\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "eUvZhzYB2x4L" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Drawn cards: ['2 of Clubs', '4 of Spades']\n" + ] + } + ], + "source": [ + "# ---- PROBABILITY IN A DECK ----\n", + "\n", + "import random\n", + "\n", + "deck = [f\"{rank} of {suit}\" for suit in ['Hearts', 'Spades', 'Diamonds', 'Clubs']\n", + " for rank in range(1, 14)]\n", + "\n", + "# Draw 2 random cards\n", + "\n", + "draws = random.sample(deck, 2)\n", + "print(\"\\nDrawn cards:\", draws)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "OidRYf9q3Mwj" + }, + "source": [ + "## 📊 PART 3: Basic Probability" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "Ok5d99Ns3Oa7" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Probability both cards are Hearts: 0.0588\n" + ] + } + ], + "source": [ + "# PROBABILITY: What’s the chance that both cards are Hearts?\n", + "\n", + "hearts = [card for card in deck if \"Hearts\" in card]\n", + "prob_both_hearts = math.comb(len(hearts), 2) / math.comb(len(deck), 2)\n", + "print(f\"Probability both cards are Hearts: {prob_both_hearts:.4f}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NMIA7c313Yum" + }, + "source": [ + "## 🔁 PART 4: Conditional Probability" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "IZeCH8pw3aZX" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Conditional probability 2nd card is Heart given 1st is Heart: 0.9412\n" + ] + } + ], + "source": [ + "# ---- CONDITIONAL PROBABILITY ----\n", + "# P(A and B) / P(B): Probability second card is Heart given first was Heart\n", + "# A = both are hearts, B = first is heart\n", + "\n", + "p_a_and_b = math.comb(12, 1) / math.comb(51, 1) # after one heart is drawn\n", + "p_b = 13 / 52\n", + "p_a_given_b = p_a_and_b / p_b\n", + "print(f\"Conditional probability 2nd card is Heart given 1st is Heart: {p_a_given_b:.4f}\")\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.5/AI-DS_Nexus__A0_5_Javid_Mohammadi_a60d6f.ipynb b/a0.1/a0.5/AI-DS_Nexus__A0_5_Javid_Mohammadi_a60d6f.ipynb new file mode 100644 index 0000000..85e4c8b --- /dev/null +++ b/a0.1/a0.5/AI-DS_Nexus__A0_5_Javid_Mohammadi_a60d6f.ipynb @@ -0,0 +1,187 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📓 Assignment 5 — Probability\n", + "\n", + "## 🎲 Counting & Probability with Cards in Python 🃏\n", + "Learn factorials, combinations, and (conditional) probability — all in one simple card game simulation using only math and random modules." + ], + "metadata": { + "id": "tacMQNsG2g5S" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 🧮 PART 1: Factorial & Combinations\n", + "\n" + ], + "metadata": { + "id": "_cA_dWDJ2vfr" + } + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "aIxoWeNt2ao0", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "b5901012-60ed-4c07-d1ae-dbd5636268b7" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "6! = 720\n", + "Combinations (6 choose 3): 20\n" + ] + } + ], + "source": [ + "# ---- FACTORIAL & COMBINATIONS ----\n", + "\n", + "import math\n", + "print(\"6! =\", math.factorial(6))\n", + "print(\"Combinations (6 choose 3):\", math.comb(6, 3))\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 🃏 PART 2: Simulating a Deck of Cards\n", + "\n" + ], + "metadata": { + "id": "pzy2xD3H3D3o" + } + }, + { + "cell_type": "code", + "source": [ + "# ---- PROBABILITY IN A DECK ----\n", + "\n", + "import random\n", + "\n", + "deck = [f\"{rank} of {suit}\" for suit in ['Hearts', 'Spades', 'Diamonds', 'Clubs']\n", + " for rank in range(1, 14)]\n", + "\n", + "# Draw 2 random cards\n", + "\n", + "draws = random.sample(deck, 2)\n", + "print(\"\\nDrawn cards:\", draws)\n" + ], + "metadata": { + "id": "eUvZhzYB2x4L", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "f68e008d-57ac-4fee-a6ab-310e6b324c75" + }, + "execution_count": 12, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Drawn cards: ['6 of Hearts', '4 of Clubs']\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 📊 PART 3: Basic Probability" + ], + "metadata": { + "id": "OidRYf9q3Mwj" + } + }, + { + "cell_type": "code", + "source": [ + "# PROBABILITY: What’s the chance that both cards are Hearts?\n", + "\n", + "hearts = [card for card in deck if \"Hearts\" in card]\n", + "prob_both_hearts = math.comb(13, 2) / math.comb(52, 2)\n", + "print(f\"Probability both cards are Hearts: {prob_both_hearts:.4f}\")\n" + ], + "metadata": { + "id": "Ok5d99Ns3Oa7", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "c6b86ec4-b76e-4323-87cd-d48871711bcb" + }, + "execution_count": 17, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Probability both cards are Hearts: 0.0588\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 🔁 PART 4: Conditional Probability" + ], + "metadata": { + "id": "NMIA7c313Yum" + } + }, + { + "cell_type": "code", + "source": [ + "# ---- CONDITIONAL PROBABILITY ----\n", + "# P(A and B) / P(B): Probability second card is Heart given first was Heart\n", + "# A = both are hearts, B = first is heart\n", + "\n", + "p_a_and_b = math.comb(12, 1) / math.comb(51, 1) # after one heart is drawn\n", + "p_b = 13 / 52\n", + "p_a_given_b = p_a_and_b / p_b\n", + "print(f\"Conditional probability 2nd card is Heart given 1st is Heart: {p_a_given_b:.4f}\")\n" + ], + "metadata": { + "id": "IZeCH8pw3aZX", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "a1d6680b-b7fc-44f2-c634-2831455028e8" + }, + "execution_count": 21, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Conditional probability 2nd card is Heart given 1st is Heart: 0.9412\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.5/AI-DS_Nexus__A0_5_Project__RezaShokr.ipynb b/a0.1/a0.5/AI-DS_Nexus__A0_5_Project__RezaShokr.ipynb new file mode 100644 index 0000000..327f6f7 --- /dev/null +++ b/a0.1/a0.5/AI-DS_Nexus__A0_5_Project__RezaShokr.ipynb @@ -0,0 +1,242 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "tacMQNsG2g5S" + }, + "source": [ + "# 📓 Assignment 5 — Probability\n", + "\n", + "## 🎲 Counting & Probability with Cards in Python 🃏\n", + "Learn factorials, combinations, and (conditional) probability — all in one simple card game simulation using only math and random modules." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "_cA_dWDJ2vfr" + }, + "source": [ + "## 🧮 PART 1: Factorial & Combinations\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "aIxoWeNt2ao0" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "6! = 720\n", + "Combinations (6 choose 3): 20\n" + ] + } + ], + "source": [ + "# ---- FACTORIAL & COMBINATIONS ----\n", + "\n", + "import math\n", + "print(\"6! =\", math.factorial(6))\n", + "print(\"Combinations (6 choose 3):\", math.comb(6 , 3))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "pzy2xD3H3D3o" + }, + "source": [ + "## 🃏 PART 2: Simulating a Deck of Cards\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "eUvZhzYB2x4L" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['1 of Hearts', '2 of Hearts', '3 of Hearts', '4 of Hearts', '5 of Hearts', '6 of Hearts', '7 of Hearts', '8 of Hearts', '9 of Hearts', '10 of Hearts', '11 of Hearts', '12 of Hearts', '13 of Hearts', '1 of Spades', '2 of Spades', '3 of Spades', '4 of Spades', '5 of Spades', '6 of Spades', '7 of Spades', '8 of Spades', '9 of Spades', '10 of Spades', '11 of Spades', '12 of Spades', '13 of Spades', '1 of Diamonds', '2 of Diamonds', '3 of Diamonds', '4 of Diamonds', '5 of Diamonds', '6 of Diamonds', '7 of Diamonds', '8 of Diamonds', '9 of Diamonds', '10 of Diamonds', '11 of Diamonds', '12 of Diamonds', '13 of Diamonds', '1 of Clubs', '2 of Clubs', '3 of Clubs', '4 of Clubs', '5 of Clubs', '6 of Clubs', '7 of Clubs', '8 of Clubs', '9 of Clubs', '10 of Clubs', '11 of Clubs', '12 of Clubs', '13 of Clubs']\n", + "\n", + "Drawn cards: ['13 of Spades', '8 of Spades']\n" + ] + } + ], + "source": [ + "# ---- PROBABILITY IN A DECK ----\n", + "\n", + "import random\n", + "\n", + "deck = [f\"{rank} of {suit}\" for suit in ['Hearts', 'Spades', 'Diamonds', 'Clubs']\n", + " for rank in range (1, 14)]\n", + "print(deck)\n", + "\n", + "# Draw 2 random cards\n", + "draws = random.sample(deck, 2)\n", + "print(\"\\nDrawn cards:\", draws)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "OidRYf9q3Mwj" + }, + "source": [ + "## 📊 PART 3: Basic Probability" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import math" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "id": "Ok5d99Ns3Oa7" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Probability both cards are Hearts: 5.88 %\n" + ] + } + ], + "source": [ + "# PROBABILITY: What’s the chance that both cards are Hearts?\n", + "\n", + "hearts = [card for card in deck if \"Hearts\" in card]\n", + "prob_both_hearts = (math.comb(13, 2) / math.comb(52, 2))*100\n", + "print(f\"Probability both cards are Hearts: {prob_both_hearts:.2f} %\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NMIA7c313Yum" + }, + "source": [ + "## 🔁 PART 4: Conditional Probability" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "id": "IZeCH8pw3aZX" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Conditional probability 2nd card is Heart given 1st is Heart: 94.12%\n" + ] + } + ], + "source": [ + "# ---- CONDITIONAL PROBABILITY ----\n", + "# P(A and B) / P(B): Probability second card is Heart given first was Heart\n", + "# A = both are hearts, B = first is heart\n", + "\n", + "p_a_and_b = math.comb(12, 1) / math.comb(51, 1) # after one heart is drawn\n", + "p_b = 13 / 52\n", + "p_a_given_b = (p_a_and_b / p_b)*100\n", + "print(f\"Conditional probability 2nd card is Heart given 1st is Heart: {p_a_given_b:.2f}%\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "10" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import math\n", + "math.factorial(5) // (math.factorial(2) * math.factorial(3))" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Combination C(7, 3) = 35\n" + ] + } + ], + "source": [ + "import math\n", + "\n", + "n = 7\n", + "r = 3\n", + "\n", + "combination = math.comb(n, r) # ترکیب: ترتیب مهم نیست\n", + "print(f\"Combination C({n}, {r}) =\", combination)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "DsAi", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.5/AI-DS_Nexus__A0_5_Project_roohi_268383.ipynb b/a0.1/a0.5/AI-DS_Nexus__A0_5_Project_roohi_268383.ipynb new file mode 100644 index 0000000..327f6f7 --- /dev/null +++ b/a0.1/a0.5/AI-DS_Nexus__A0_5_Project_roohi_268383.ipynb @@ -0,0 +1,242 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "tacMQNsG2g5S" + }, + "source": [ + "# 📓 Assignment 5 — Probability\n", + "\n", + "## 🎲 Counting & Probability with Cards in Python 🃏\n", + "Learn factorials, combinations, and (conditional) probability — all in one simple card game simulation using only math and random modules." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "_cA_dWDJ2vfr" + }, + "source": [ + "## 🧮 PART 1: Factorial & Combinations\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "aIxoWeNt2ao0" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "6! = 720\n", + "Combinations (6 choose 3): 20\n" + ] + } + ], + "source": [ + "# ---- FACTORIAL & COMBINATIONS ----\n", + "\n", + "import math\n", + "print(\"6! =\", math.factorial(6))\n", + "print(\"Combinations (6 choose 3):\", math.comb(6 , 3))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "pzy2xD3H3D3o" + }, + "source": [ + "## 🃏 PART 2: Simulating a Deck of Cards\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "eUvZhzYB2x4L" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['1 of Hearts', '2 of Hearts', '3 of Hearts', '4 of Hearts', '5 of Hearts', '6 of Hearts', '7 of Hearts', '8 of Hearts', '9 of Hearts', '10 of Hearts', '11 of Hearts', '12 of Hearts', '13 of Hearts', '1 of Spades', '2 of Spades', '3 of Spades', '4 of Spades', '5 of Spades', '6 of Spades', '7 of Spades', '8 of Spades', '9 of Spades', '10 of Spades', '11 of Spades', '12 of Spades', '13 of Spades', '1 of Diamonds', '2 of Diamonds', '3 of Diamonds', '4 of Diamonds', '5 of Diamonds', '6 of Diamonds', '7 of Diamonds', '8 of Diamonds', '9 of Diamonds', '10 of Diamonds', '11 of Diamonds', '12 of Diamonds', '13 of Diamonds', '1 of Clubs', '2 of Clubs', '3 of Clubs', '4 of Clubs', '5 of Clubs', '6 of Clubs', '7 of Clubs', '8 of Clubs', '9 of Clubs', '10 of Clubs', '11 of Clubs', '12 of Clubs', '13 of Clubs']\n", + "\n", + "Drawn cards: ['13 of Spades', '8 of Spades']\n" + ] + } + ], + "source": [ + "# ---- PROBABILITY IN A DECK ----\n", + "\n", + "import random\n", + "\n", + "deck = [f\"{rank} of {suit}\" for suit in ['Hearts', 'Spades', 'Diamonds', 'Clubs']\n", + " for rank in range (1, 14)]\n", + "print(deck)\n", + "\n", + "# Draw 2 random cards\n", + "draws = random.sample(deck, 2)\n", + "print(\"\\nDrawn cards:\", draws)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "OidRYf9q3Mwj" + }, + "source": [ + "## 📊 PART 3: Basic Probability" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import math" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "id": "Ok5d99Ns3Oa7" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Probability both cards are Hearts: 5.88 %\n" + ] + } + ], + "source": [ + "# PROBABILITY: What’s the chance that both cards are Hearts?\n", + "\n", + "hearts = [card for card in deck if \"Hearts\" in card]\n", + "prob_both_hearts = (math.comb(13, 2) / math.comb(52, 2))*100\n", + "print(f\"Probability both cards are Hearts: {prob_both_hearts:.2f} %\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NMIA7c313Yum" + }, + "source": [ + "## 🔁 PART 4: Conditional Probability" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "id": "IZeCH8pw3aZX" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Conditional probability 2nd card is Heart given 1st is Heart: 94.12%\n" + ] + } + ], + "source": [ + "# ---- CONDITIONAL PROBABILITY ----\n", + "# P(A and B) / P(B): Probability second card is Heart given first was Heart\n", + "# A = both are hearts, B = first is heart\n", + "\n", + "p_a_and_b = math.comb(12, 1) / math.comb(51, 1) # after one heart is drawn\n", + "p_b = 13 / 52\n", + "p_a_given_b = (p_a_and_b / p_b)*100\n", + "print(f\"Conditional probability 2nd card is Heart given 1st is Heart: {p_a_given_b:.2f}%\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "10" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import math\n", + "math.factorial(5) // (math.factorial(2) * math.factorial(3))" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Combination C(7, 3) = 35\n" + ] + } + ], + "source": [ + "import math\n", + "\n", + "n = 7\n", + "r = 3\n", + "\n", + "combination = math.comb(n, r) # ترکیب: ترتیب مهم نیست\n", + "print(f\"Combination C({n}, {r}) =\", combination)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "DsAi", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.5/AI-DS_Nexus__A0_5__aminran.ipynb b/a0.1/a0.5/AI-DS_Nexus__A0_5__aminran.ipynb new file mode 100644 index 0000000..606520b --- /dev/null +++ b/a0.1/a0.5/AI-DS_Nexus__A0_5__aminran.ipynb @@ -0,0 +1,188 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📓 Assignment 5 — Probability\n", + "\n", + "## 🎲 Counting & Probability with Cards in Python 🃏\n", + "Learn factorials, combinations, and (conditional) probability — all in one simple card game simulation using only math and random modules." + ], + "metadata": { + "id": "tacMQNsG2g5S" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 🧮 PART 1: Factorial & Combinations\n", + "\n" + ], + "metadata": { + "id": "_cA_dWDJ2vfr" + } + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "aIxoWeNt2ao0", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "b430b2f2-c2a8-4dbd-a2bd-0058448150c8" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "6! = 720\n", + "Combinations (6 choose 3): 20\n" + ] + } + ], + "source": [ + "# ---- FACTORIAL & COMBINATIONS ----\n", + "\n", + "import math\n", + "print(\"6! =\", math.factorial(6))\n", + "print(\"Combinations (6 choose 3):\", math.comb(6, 3))\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 🃏 PART 2: Simulating a Deck of Cards\n", + "\n" + ], + "metadata": { + "id": "pzy2xD3H3D3o" + } + }, + { + "cell_type": "code", + "source": [ + "# ---- PROBABILITY IN A DECK ----\n", + "\n", + "import random\n", + "\n", + "deck = [f\"{rank} of {suit}\" for suit in ['Hearts', 'Spades', 'Diamonds', 'Clubs']\n", + " for rank in range(1, 14)]\n", + "\n", + "# Draw 2 random cards\n", + "\n", + "draws = random.sample(deck, 2)\n", + "print(\"\\nDrawn cards:\", draws)\n" + ], + "metadata": { + "id": "eUvZhzYB2x4L", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "434f154d-1d6e-4b5d-ffd4-6c770b9faf19" + }, + "execution_count": 3, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Drawn cards: ['6 of Hearts', '9 of Clubs']\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 📊 PART 3: Basic Probability" + ], + "metadata": { + "id": "OidRYf9q3Mwj" + } + }, + { + "cell_type": "code", + "source": [ + "# PROBABILITY: What’s the chance that both cards are Hearts?\n", + "\n", + "hearts = [card for card in deck if \"Hearts\" in card]\n", + "hearts\n", + "prob_both_hearts = math.comb(13, 2) / math.comb(52, 2)\n", + "print(f\"Probability both cards are Hearts: {prob_both_hearts:.4f}\")\n" + ], + "metadata": { + "id": "Ok5d99Ns3Oa7", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "5ebb0ad3-3f3e-4e01-fb79-c46b20a6b396" + }, + "execution_count": 8, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Probability both cards are Hearts: 0.0588\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 🔁 PART 4: Conditional Probability" + ], + "metadata": { + "id": "NMIA7c313Yum" + } + }, + { + "cell_type": "code", + "source": [ + "# ---- CONDITIONAL PROBABILITY ----\n", + "# P(A and B) / P(B): Probability second card is Heart given first was Heart\n", + "# A = both are hearts, B = first is heart\n", + "\n", + "p_a_and_b = (math.comb(13, 2)) / math.comb(52, 2) # after one heart is drawn\n", + "p_b = 13 / 52\n", + "p_a_given_b = p_a_and_b / p_b\n", + "print(f\"Conditional probability 2nd card is Heart given 1st is Heart: {p_a_given_b:.4f}\")\n" + ], + "metadata": { + "id": "IZeCH8pw3aZX", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "7f24e4ea-79c5-44d8-cf98-0501b5a1ccdf" + }, + "execution_count": 10, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Conditional probability 2nd card is Heart given 1st is Heart: 0.2353\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.5/AI-DS_Nexus__A0_5__rsayyareh.ipynb b/a0.1/a0.5/AI-DS_Nexus__A0_5__rsayyareh.ipynb new file mode 100644 index 0000000..3cfae4d --- /dev/null +++ b/a0.1/a0.5/AI-DS_Nexus__A0_5__rsayyareh.ipynb @@ -0,0 +1,196 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "tacMQNsG2g5S" + }, + "source": [ + "# 📓 Assignment 5 — Probability\n", + "\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n", + "\n", + "## 🎲 Counting & Probability with Cards in Python 🃏\n", + "Learn factorials, combinations, and (conditional) probability — all in one simple card game simulation using only math and random modules." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "_cA_dWDJ2vfr" + }, + "source": [ + "## 🧮 PART 1: Factorial & Combinations\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "aIxoWeNt2ao0" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "6! = 720\n", + "Combinations (6 choose 3): 20\n" + ] + } + ], + "source": [ + "# ---- FACTORIAL & COMBINATIONS ----\n", + "\n", + "import math\n", + "print(\"6! =\", math.factorial(6))\n", + "print(\"Combinations (6 choose 3):\", math.comb(6, 3))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "pzy2xD3H3D3o" + }, + "source": [ + "## 🃏 PART 2: Simulating a Deck of Cards\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "eUvZhzYB2x4L" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Drawn cards: ['2 of Diamonds', '10 of Hearts']\n", + "52\n" + ] + } + ], + "source": [ + "# ---- PROBABILITY IN A DECK ----\n", + "\n", + "import random\n", + "\n", + "deck = [f\"{rank} of {suit}\" for suit in ['Hearts', 'Spades', 'Diamonds', 'Clubs']\n", + " for rank in range(1, 14)]\n", + "\n", + "# Draw 2 random cards\n", + "\n", + "draws = random.sample(deck, 2)\n", + "print(\"\\nDrawn cards:\", draws)\n", + "# print(len(deck))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "OidRYf9q3Mwj" + }, + "source": [ + "## 📊 PART 3: Basic Probability" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Ok5d99Ns3Oa7" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Probability both cards are Hearts: 0.0588\n" + ] + } + ], + "source": [ + "# PROBABILITY: What’s the chance that both cards are Hearts?\n", + "hearts = [card for card in deck if \"Hearts\" in card]\n", + "# print(len(hearts))\n", + "# print(len(deck))\n", + "\n", + "# Draw 2 random cards\n", + "\n", + "prob_both_hearts = math.comb(len(hearts), 2) / math.comb(len(deck), 2)\n", + "print(f\"Probability both cards are Hearts: {prob_both_hearts:.4f}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NMIA7c313Yum" + }, + "source": [ + "## 🔁 PART 4: Conditional Probability" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "id": "IZeCH8pw3aZX" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Conditional probability 2nd card is Heart given 1st is Heart: 0.2353\n" + ] + } + ], + "source": [ + "# ---- CONDITIONAL PROBABILITY ----\n", + "# P(A and B) / P(B): Probability second card is Heart given first was Heart\n", + "# A = both are hearts, B = first is heart\n", + "\n", + "p_a_and_b = math.comb(len(hearts), 2) / math.comb(len(deck), 2) # after one heart is drawn\n", + "p_b = 13 / 52\n", + "p_a_given_b = p_a_and_b / p_b\n", + "print(f\"Conditional probability 2nd card is Heart given 1st is Heart: {p_a_given_b:.4f}\")\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.7" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.5/AI_DS_Nexus__A0_5_MrAshki.ipynb b/a0.1/a0.5/AI_DS_Nexus__A0_5_MrAshki.ipynb new file mode 100644 index 0000000..598e888 --- /dev/null +++ b/a0.1/a0.5/AI_DS_Nexus__A0_5_MrAshki.ipynb @@ -0,0 +1,223 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📓 Assignment 5 — Probability\n", + "\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n", + "\n", + "## 🎲 Counting & Probability with Cards in Python 🃏\n", + "Learn factorials, combinations, and (conditional) probability — all in one simple card game simulation using only math and random modules." + ], + "metadata": { + "id": "tacMQNsG2g5S" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 🧮 PART 1: Factorial & Combinations\n", + "\n" + ], + "metadata": { + "id": "_cA_dWDJ2vfr" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "aIxoWeNt2ao0", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "89ea5827-7ce1-4eaf-c9a0-579cac485bb0" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "6! = 720\n", + "Combinations (6 choose 3): 20\n" + ] + } + ], + "source": [ + "# ---- FACTORIAL & COMBINATIONS ----\n", + "\n", + "import math\n", + "print(\"6! =\", math.factorial(6))\n", + "print(\"Combinations (6 choose 3):\", math.comb(6, 3))\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 🃏 PART 2: Simulating a Deck of Cards\n", + "\n" + ], + "metadata": { + "id": "pzy2xD3H3D3o" + } + }, + { + "cell_type": "code", + "source": [ + "# ---- PROBABILITY IN A DECK ----\n", + "\n", + "import random\n", + "\n", + "deck = [f\"{rank} of {suit}\" for suit in ['Hearts', 'Spades', 'Diamonds', 'Clubs']\n", + " for rank in range (1, 14)]\n", + "\n", + "# Draw 2 random cards\n", + "\n", + "draws = random.sample(deck, 2)\n", + "print(\"\\nDrawn cards:\", draws)\n" + ], + "metadata": { + "id": "eUvZhzYB2x4L", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "07baa1e9-2294-48f6-df21-f6c2246da1e7" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Drawn cards: ['6 of Spades', '11 of Hearts']\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 📊 PART 3: Basic Probability" + ], + "metadata": { + "id": "OidRYf9q3Mwj" + } + }, + { + "cell_type": "code", + "source": [ + "# PROBABILITY: What’s the chance that both cards are Hearts?\n", + "\n", + "hearts = [card for card in deck if \"Hearts\" in card]\n", + "prob_both_hearts = math.comb(13, 2) / math.comb(52, 2)\n", + "print(f\"Probability both cards are Hearts: {prob_both_hearts:.4f}\")\n" + ], + "metadata": { + "id": "Ok5d99Ns3Oa7", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "127065a2-18b8-4c3a-e8ae-872e7c1440b2" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Probability both cards are Hearts: 0.0588\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 🔁 PART 4: Conditional Probability" + ], + "metadata": { + "id": "NMIA7c313Yum" + } + }, + { + "cell_type": "code", + "source": [ + "# ---- CONDITIONAL PROBABILITY ----\n", + "# P(A and B) / P(B): Probability second card is Heart given first was Heart\n", + "# A = both are hearts, B = first is heart\n", + "\n", + "p_a_and_b = math.comb(12, 1) / math.comb(51, 1) # after one heart is drawn\n", + "p_b = 13 / 52\n", + "p_a_given_b = p_a_and_b / p_b\n", + "print(f\"Conditional probability 2nd card is Heart given 1st is Heart: {p_a_given_b:.4f}\")\n" + ], + "metadata": { + "id": "IZeCH8pw3aZX", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "6cffefa7-bfc3-4cec-d61f-b37090181a47" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Conditional probability 2nd card is Heart given 1st is Heart: 0.9412\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "p_a_and_b = (13 / 52) * (12 / 51)\n", + "p_b = 13 / 52\n", + "p_a_given_b = p_a_and_b / p_b\n", + "print(f\"Conditional probability 2nd card is Heart given 1st is Heart: {p_a_given_b:.4f}\")" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "EKEZLmfqU83a", + "outputId": "1b83eba0-6720-44d5-ae40-f8e0a01b94e3" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Conditional probability 2nd card is Heart given 1st is Heart: 0.2353\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git "a/a0.1/a0.5/AI\342\200\223DS_Nexus___A0_5_Probability___RoohollaAlikhani.ipynb" "b/a0.1/a0.5/AI\342\200\223DS_Nexus___A0_5_Probability___RoohollaAlikhani.ipynb" new file mode 100644 index 0000000..327f6f7 --- /dev/null +++ "b/a0.1/a0.5/AI\342\200\223DS_Nexus___A0_5_Probability___RoohollaAlikhani.ipynb" @@ -0,0 +1,242 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "tacMQNsG2g5S" + }, + "source": [ + "# 📓 Assignment 5 — Probability\n", + "\n", + "## 🎲 Counting & Probability with Cards in Python 🃏\n", + "Learn factorials, combinations, and (conditional) probability — all in one simple card game simulation using only math and random modules." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "_cA_dWDJ2vfr" + }, + "source": [ + "## 🧮 PART 1: Factorial & Combinations\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "aIxoWeNt2ao0" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "6! = 720\n", + "Combinations (6 choose 3): 20\n" + ] + } + ], + "source": [ + "# ---- FACTORIAL & COMBINATIONS ----\n", + "\n", + "import math\n", + "print(\"6! =\", math.factorial(6))\n", + "print(\"Combinations (6 choose 3):\", math.comb(6 , 3))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "pzy2xD3H3D3o" + }, + "source": [ + "## 🃏 PART 2: Simulating a Deck of Cards\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "eUvZhzYB2x4L" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['1 of Hearts', '2 of Hearts', '3 of Hearts', '4 of Hearts', '5 of Hearts', '6 of Hearts', '7 of Hearts', '8 of Hearts', '9 of Hearts', '10 of Hearts', '11 of Hearts', '12 of Hearts', '13 of Hearts', '1 of Spades', '2 of Spades', '3 of Spades', '4 of Spades', '5 of Spades', '6 of Spades', '7 of Spades', '8 of Spades', '9 of Spades', '10 of Spades', '11 of Spades', '12 of Spades', '13 of Spades', '1 of Diamonds', '2 of Diamonds', '3 of Diamonds', '4 of Diamonds', '5 of Diamonds', '6 of Diamonds', '7 of Diamonds', '8 of Diamonds', '9 of Diamonds', '10 of Diamonds', '11 of Diamonds', '12 of Diamonds', '13 of Diamonds', '1 of Clubs', '2 of Clubs', '3 of Clubs', '4 of Clubs', '5 of Clubs', '6 of Clubs', '7 of Clubs', '8 of Clubs', '9 of Clubs', '10 of Clubs', '11 of Clubs', '12 of Clubs', '13 of Clubs']\n", + "\n", + "Drawn cards: ['13 of Spades', '8 of Spades']\n" + ] + } + ], + "source": [ + "# ---- PROBABILITY IN A DECK ----\n", + "\n", + "import random\n", + "\n", + "deck = [f\"{rank} of {suit}\" for suit in ['Hearts', 'Spades', 'Diamonds', 'Clubs']\n", + " for rank in range (1, 14)]\n", + "print(deck)\n", + "\n", + "# Draw 2 random cards\n", + "draws = random.sample(deck, 2)\n", + "print(\"\\nDrawn cards:\", draws)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "OidRYf9q3Mwj" + }, + "source": [ + "## 📊 PART 3: Basic Probability" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import math" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "id": "Ok5d99Ns3Oa7" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Probability both cards are Hearts: 5.88 %\n" + ] + } + ], + "source": [ + "# PROBABILITY: What’s the chance that both cards are Hearts?\n", + "\n", + "hearts = [card for card in deck if \"Hearts\" in card]\n", + "prob_both_hearts = (math.comb(13, 2) / math.comb(52, 2))*100\n", + "print(f\"Probability both cards are Hearts: {prob_both_hearts:.2f} %\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NMIA7c313Yum" + }, + "source": [ + "## 🔁 PART 4: Conditional Probability" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "id": "IZeCH8pw3aZX" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Conditional probability 2nd card is Heart given 1st is Heart: 94.12%\n" + ] + } + ], + "source": [ + "# ---- CONDITIONAL PROBABILITY ----\n", + "# P(A and B) / P(B): Probability second card is Heart given first was Heart\n", + "# A = both are hearts, B = first is heart\n", + "\n", + "p_a_and_b = math.comb(12, 1) / math.comb(51, 1) # after one heart is drawn\n", + "p_b = 13 / 52\n", + "p_a_given_b = (p_a_and_b / p_b)*100\n", + "print(f\"Conditional probability 2nd card is Heart given 1st is Heart: {p_a_given_b:.2f}%\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "10" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import math\n", + "math.factorial(5) // (math.factorial(2) * math.factorial(3))" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Combination C(7, 3) = 35\n" + ] + } + ], + "source": [ + "import math\n", + "\n", + "n = 7\n", + "r = 3\n", + "\n", + "combination = math.comb(n, r) # ترکیب: ترتیب مهم نیست\n", + "print(f\"Combination C({n}, {r}) =\", combination)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "DsAi", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.5/Assignment_05_Danieljaafari.ipynb b/a0.1/a0.5/Assignment_05_Danieljaafari.ipynb new file mode 100644 index 0000000..00ecf0d --- /dev/null +++ b/a0.1/a0.5/Assignment_05_Danieljaafari.ipynb @@ -0,0 +1 @@ +# Assignment A05 - Daniel Jaafari diff --git "a/a0.1/a0.5/Copy_of_AI\342\200\223DS_Nexus___A0_5_Probability___RezaShokr.ipynb" "b/a0.1/a0.5/Copy_of_AI\342\200\223DS_Nexus___A0_5_Probability___RezaShokr.ipynb" new file mode 100644 index 0000000..1ea4807 --- /dev/null +++ "b/a0.1/a0.5/Copy_of_AI\342\200\223DS_Nexus___A0_5_Probability___RezaShokr.ipynb" @@ -0,0 +1,188 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📓 Assignment 5 — Probability\n", + "\n", + "## 🎲 Counting & Probability with Cards in Python 🃏\n", + "Learn factorials, combinations, and (conditional) probability — all in one simple card game simulation using only math and random modules." + ], + "metadata": { + "id": "tacMQNsG2g5S" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 🧮 PART 1: Factorial & Combinations\n", + "\n" + ], + "metadata": { + "id": "_cA_dWDJ2vfr" + } + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "aIxoWeNt2ao0", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "ff177cb1-387d-4357-a516-8a4e6a9bc924" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "6! = 720\n", + "Combinations (6 choose 3): 20\n" + ] + } + ], + "source": [ + "# ---- FACTORIAL & COMBINATIONS ----\n", + "\n", + "import math\n", + "print(\"6! =\", math.factorial(6))\n", + "print(\"Combinations (6 choose 3):\", math.comb(6, 3))\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 🃏 PART 2: Simulating a Deck of Cards\n", + "\n" + ], + "metadata": { + "id": "pzy2xD3H3D3o" + } + }, + { + "cell_type": "code", + "source": [ + "# ---- PROBABILITY IN A DECK ----\n", + "\n", + "import random\n", + "\n", + "deck = [f\"{rank} of {suit}\" for suit in ['Hearts', 'Spades', 'Diamonds', 'Clubs']\n", + " for rank in range(1, 14)]\n", + "\n", + "\n", + "# Draw 2 random cards\n", + "draws = random.sample(deck, 2)\n", + "print(\"\\nDrawn cards:\", draws)\n" + ], + "metadata": { + "id": "eUvZhzYB2x4L", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "860daab3-e438-4a6c-dcb4-c5d1c759235b" + }, + "execution_count": 2, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Drawn cards: ['7 of Clubs', '10 of Diamonds']\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 📊 PART 3: Basic Probability" + ], + "metadata": { + "id": "OidRYf9q3Mwj" + } + }, + { + "cell_type": "code", + "source": [ + "# PROBABILITY: What’s the chance that both cards are Hearts?\n", + "\n", + "hearts = [card for card in deck if \"Hearts\" in card]\n", + "prob_both_hearts = math.comb(len(hearts), 2) / math.comb(len(deck), 2)\n", + "print(f\"Probability both cards are Hearts: {prob_both_hearts:.4f}\")\n" + ], + "metadata": { + "id": "Ok5d99Ns3Oa7", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "1b260c13-cd96-4fa6-85ea-771ef6c2e387" + }, + "execution_count": 3, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Probability both cards are Hearts: 0.0588\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 🔁 PART 4: Conditional Probability" + ], + "metadata": { + "id": "NMIA7c313Yum" + } + }, + { + "cell_type": "code", + "source": [ + "# ---- CONDITIONAL PROBABILITY ----\n", + "# P(A and B) / P(B): Probability second card is Heart given first was Heart\n", + "# A = both are hearts, B = first is heart\n", + "import math\n", + "\n", + "p_a_and_b = math.comb(12, 1) / math.comb(51, 1) # after one heart is drawn\n", + "p_b = 13 / 52\n", + "p_a_given_b = p_a_and_b / p_b\n", + "print(f\"Conditional probability 2nd card is Heart given 1st is Heart: {p_a_given_b:.4f}\")\n" + ], + "metadata": { + "id": "IZeCH8pw3aZX", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "c0cbf4e9-8514-42cf-aa83-c56e7dc457dc" + }, + "execution_count": 4, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Conditional probability 2nd card is Heart given 1st is Heart: 0.9412\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.6/AI-DS_Nexus__A0_6_Amirhossein_Zandi_8fca80.ipynb b/a0.1/a0.6/AI-DS_Nexus__A0_6_Amirhossein_Zandi_8fca80.ipynb new file mode 100644 index 0000000..63dda9a --- /dev/null +++ b/a0.1/a0.6/AI-DS_Nexus__A0_6_Amirhossein_Zandi_8fca80.ipynb @@ -0,0 +1,214 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "Txr_tIDhHcu2" + }, + "source": [ + "# 📚 Assignment 06 — Descriptive Statistics\n", + "\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n", + "\n", + "\n", + "## 📘 Exploring Descriptive Statistics with NumPy & SciPy\n", + "This assignment guides you through generating random data, analyzing its statistical properties, and visualizing it using plots.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "x1gatSKSHYTm" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Generated Data: [36 30 33 26 38 28 26 37 24 23 30 35 29 28 35 29 33 39 28 35 28 23 26 28\n", + " 25 28 36 32 23 32]\n" + ] + } + ], + "source": [ + "# 📦 Import Required Libraries\n", + "\n", + "import numpy as np\n", + "from scipy import stats\n", + "import matplotlib.pyplot as plt\n", + "\n", + "\n", + "np.random.choice(42)\n", + "data = np.random.randint(20 , 40 , size=30)\n", + "print(\"Generated Data:\", data)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "cUfGpmVCHvR5" + }, + "source": [ + "### 📊 Step 2: Central Tendency and Quantiles\n", + "Let's compute basic statistics — mean, median, mode, and quantiles." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "FkmPc2r7Htaz" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mean: 30.1\n", + "Median: 29.0\n", + "Mode: 28\n", + "Q1 (25%): 26.5\n", + "Q3 (75%): 34.5\n" + ] + } + ], + "source": [ + "# 📐 Central Tendency\n", + "# mean\n", + "mean_val = np.mean(data)\n", + "# median\n", + "median_val = np.median(data)\n", + "# mode\n", + "mode_val = stats.mode(data, keepdims=True).mode[0]\n", + "\n", + "# 📏 Quantiles\n", + "q1 = np.quantile(data, 0.25)\n", + "q3 = np.quantile(data, 0.75)\n", + "\n", + "print(f\"Mean: {mean_val}\")\n", + "print(f\"Median: {median_val}\")\n", + "print(f\"Mode: {mode_val}\")\n", + "print(f\"Q1 (25%): {q1}\")\n", + "print(f\"Q3 (75%): {q3}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "EBZ2KixtHztl" + }, + "source": [ + "### 🧪 Step 3: Skewness and Kurtosis\n", + "Skewness shows asymmetry, and kurtosis indicates the \"tailedness\" of the distribution." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "XDwmqc3-H05I" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Skewness: 0.22\n", + "Kurtosis: -1.05\n" + ] + } + ], + "source": [ + "# 📉 Skewness and Kurtosis\n", + "skew_val = stats.skew(data)\n", + "kurtosis_val = stats.kurtosis(data)\n", + "\n", + "print(f\"Skewness: {skew_val:.2f}\")\n", + "print(f\"Kurtosis: {kurtosis_val:.2f}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "FOPw0-dSH250" + }, + "source": [ + "### 📈 Step 4: Visualization - Bar Chart and Boxplot\n", + "Visualize the data to better understand its distribution and spread." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "Zfx5s6xLH1y8" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 📊 Bar Plot\n", + "plt.figure(figsize=(12, 4))\n", + "\n", + "plt.subplot(1, 2, 1)\n", + "# make a bar chart\n", + "plt.bar(range(len(data)), data)\n", + "plt.title(\"Bar Plot of Random Data\")\n", + "plt.xlabel(\"Index\")\n", + "plt.ylabel(\"Value\")\n", + "\n", + "# 📦 Boxplot\n", + "plt.subplot(1, 2, 2)\n", + "# make a box plot\n", + "plt.boxplot(data, vert=False)\n", + "plt.title(\"Boxplot of Random Data\")\n", + "plt.xlabel(\"Value\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.6/AI-DS_Nexus__A0_6_Javid_Mohammadi_a60d6f.ipynb b/a0.1/a0.6/AI-DS_Nexus__A0_6_Javid_Mohammadi_a60d6f.ipynb new file mode 100644 index 0000000..008bbe0 --- /dev/null +++ b/a0.1/a0.6/AI-DS_Nexus__A0_6_Javid_Mohammadi_a60d6f.ipynb @@ -0,0 +1,218 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 06 — Descriptive Statistics\n", + "\n", + "## 📘 Exploring Descriptive Statistics with NumPy & SciPy\n", + "This assignment guides you through generating random data, analyzing its statistical properties, and visualizing it using plots.\n" + ], + "metadata": { + "id": "Txr_tIDhHcu2" + } + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "x1gatSKSHYTm", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "aaa53615-532e-47c3-bf24-8faa949dbcf1" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Generated Data: [26 39 34 30 27 26 38 30 30 23 27 22 21 31 25 21 20 31 31 36 29 35 34 34\n", + " 38 31 39 22 24 38]\n" + ] + } + ], + "source": [ + "# 📦 Import Required Libraries\n", + "import numpy as np\n", + "from scipy import stats\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# 🎲 Step 1: Generate Random Integer List\n", + "np.random.seed(42) # For reproducibility\n", + "data = np.random.randint(20, 40, size=30)\n", + "print(\"Generated Data:\", data)\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 📊 Step 2: Central Tendency and Quantiles\n", + "Let's compute basic statistics — mean, median, mode, and quantiles." + ], + "metadata": { + "id": "cUfGpmVCHvR5" + } + }, + { + "cell_type": "code", + "source": [ + "# 📐 Central Tendency\n", + "# mean\n", + "mean_val = np.mean(data)\n", + "# median\n", + "median_val = np.median(data)\n", + "# mode\n", + "mode_val = stats.mode(data, keepdims=True).mode[0]\n", + "\n", + "# 📏 Quantiles\n", + "q1 = np.quantile(data, 0.25)\n", + "q3 = np.quantile(data, 0.75)\n", + "\n", + "print(f\"Mean: {mean_val}\")\n", + "print(f\"Median: {median_val}\")\n", + "print(f\"Mode: {mode_val}\")\n", + "print(f\"Q1 (25%): {q1}\")\n", + "print(f\"Q3 (75%): {q3}\")\n" + ], + "metadata": { + "id": "FkmPc2r7Htaz", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "9e0917be-8d7a-418f-e58d-56fc1a6b31ce" + }, + "execution_count": 3, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Mean: 29.733333333333334\n", + "Median: 30.0\n", + "Mode: 31\n", + "Q1 (25%): 25.25\n", + "Q3 (75%): 34.0\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 🧪 Step 3: Skewness and Kurtosis\n", + "Skewness shows asymmetry, and kurtosis indicates the \"tailedness\" of the distribution." + ], + "metadata": { + "id": "EBZ2KixtHztl" + } + }, + { + "cell_type": "code", + "source": [ + "# 📉 Skewness and Kurtosis\n", + "skew_val = stats.skew(data)\n", + "kurtosis_val = stats.kurtosis(data)\n", + "\n", + "print(f\"Skewness: {skew_val:.2f}\")\n", + "print(f\"Kurtosis: {kurtosis_val:.2f}\")\n" + ], + "metadata": { + "id": "XDwmqc3-H05I", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "14054bde-bb63-4873-9426-44cd0616e272" + }, + "execution_count": 4, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Skewness: -0.00\n", + "Kurtosis: -1.14\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 📈 Step 4: Visualization - Bar Chart and Boxplot\n", + "Visualize the data to better understand its distribution and spread." + ], + "metadata": { + "id": "FOPw0-dSH250" + } + }, + { + "cell_type": "code", + "source": [ + "# 📊 Bar Plot\n", + "plt.figure(figsize=(12, 4))\n", + "\n", + "plt.subplot(1, 2, 1)\n", + "# make a bar chart\n", + "plt.bar(range(len(data)), data)\n", + "plt.title(\"Bar Plot of Random Data\")\n", + "plt.xlabel(\"Index\")\n", + "plt.ylabel(\"Value\")\n", + "\n", + "# 📦 Boxplot\n", + "plt.subplot(1, 2, 2)\n", + "# make a box plot\n", + "plt.boxplot(data, vert=False)\n", + "plt.title(\"Boxplot of Random Data\")\n", + "plt.xlabel(\"Value\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ], + "metadata": { + "id": "Zfx5s6xLH1y8", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 352 + }, + "outputId": "21dbf139-2e56-4839-a947-1d2c2a057f6c" + }, + "execution_count": 8, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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+ }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "OV_iK5mgP6G2" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.6/AI-DS_Nexus__A0_6_Project__RezaShokr.ipynb b/a0.1/a0.6/AI-DS_Nexus__A0_6_Project__RezaShokr.ipynb new file mode 100644 index 0000000..13d7ed8 --- /dev/null +++ b/a0.1/a0.6/AI-DS_Nexus__A0_6_Project__RezaShokr.ipynb @@ -0,0 +1,209 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "Txr_tIDhHcu2" + }, + "source": [ + "# 📚 Assignment 06 — Descriptive Statistics\n", + "\n", + "## 📘 Exploring Descriptive Statistics with NumPy & SciPy\n", + "This assignment guides you through generating random data, analyzing its statistical properties, and visualizing it using plots.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "x1gatSKSHYTm" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Generated Data: [26 39 34 30 27 26 38 30 30 23 27 22 21 31 25 21 20 31 31 36 29 35 34 34\n", + " 38 31 39 22 24 38]\n" + ] + } + ], + "source": [ + "# 📦 Import Required Libraries\n", + "import numpy as np\n", + "from scipy import stats\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# 🎲 Step 1: Generate Random Integer List\n", + "np.random.seed(42) # For reproducibility\n", + "data = np.random.randint(20, 40, size=30)\n", + "print(\"Generated Data:\", data)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "cUfGpmVCHvR5" + }, + "source": [ + "### 📊 Step 2: Central Tendency and Quantiles\n", + "Let's compute basic statistics — mean, median, mode, and quantiles." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "FkmPc2r7Htaz" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mean: 29.733333333333334\n", + "Median: 30.0\n", + "Mode: 31\n", + "Q1 (25%): 25.25\n", + "Q3 (75%): 34.0\n" + ] + } + ], + "source": [ + "# 📐 Central Tendency\n", + "\n", + "mean_val = np.mean(data) # mean\n", + "\n", + "median_val = np.median(data) # median\n", + "\n", + "mode_val = stats.mode(data, keepdims=True).mode[0] # mode from scipu.stats lib\n", + "\n", + "# 📏 Quantiles\n", + "q1 = np.quantile(data, 0.25)\n", + "q3 = np.quantile(data, 0.75)\n", + "\n", + "print(f\"Mean: {mean_val}\")\n", + "print(f\"Median: {median_val}\")\n", + "print(f\"Mode: {mode_val}\")\n", + "print(f\"Q1 (25%): {q1}\")\n", + "print(f\"Q3 (75%): {q3}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "EBZ2KixtHztl" + }, + "source": [ + "### 🧪 Step 3: Skewness and Kurtosis\n", + "Skewness shows asymmetry, and kurtosis indicates the \"tailedness\" of the distribution." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "XDwmqc3-H05I" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Skewness: -0.00\n", + "Kurtosis: -1.14\n" + ] + } + ], + "source": [ + "# 📉 Skewness and Kurtosis\n", + "skew_val = stats.skew(data)\n", + "kurtosis_val = stats.kurtosis(data)\n", + "\n", + "print(f\"Skewness: {skew_val:.2f}\")\n", + "print(f\"Kurtosis: {kurtosis_val:.2f}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "FOPw0-dSH250" + }, + "source": [ + "### 📈 Step 4: Visualization - Bar Chart and Boxplot\n", + "Visualize the data to better understand its distribution and spread." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "Zfx5s6xLH1y8" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 📊 Bar Plot\n", + "plt.figure(figsize=(12, 4))\n", + "\n", + "plt.subplot(1, 2, 1)\n", + "# make a bar chart\n", + "plt.bar(range(len(data)), data)\n", + "plt.title(\"Bar Plot of Random Data\")\n", + "plt.xlabel(\"Index\")\n", + "plt.ylabel(\"Value\")\n", + "\n", + "# 📦 Boxplot\n", + "plt.subplot(1, 2, 2)\n", + "# make a box plot\n", + "plt.boxplot(data, vert=False)\n", + "plt.title(\"Boxplot of Random Data\")\n", + "plt.xlabel(\"Value\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "DsAi", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.6/AI-DS_Nexus__A0_6_Project_roohi_268383.ipynb b/a0.1/a0.6/AI-DS_Nexus__A0_6_Project_roohi_268383.ipynb new file mode 100644 index 0000000..13d7ed8 --- /dev/null +++ b/a0.1/a0.6/AI-DS_Nexus__A0_6_Project_roohi_268383.ipynb @@ -0,0 +1,209 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "Txr_tIDhHcu2" + }, + "source": [ + "# 📚 Assignment 06 — Descriptive Statistics\n", + "\n", + "## 📘 Exploring Descriptive Statistics with NumPy & SciPy\n", + "This assignment guides you through generating random data, analyzing its statistical properties, and visualizing it using plots.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "x1gatSKSHYTm" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Generated Data: [26 39 34 30 27 26 38 30 30 23 27 22 21 31 25 21 20 31 31 36 29 35 34 34\n", + " 38 31 39 22 24 38]\n" + ] + } + ], + "source": [ + "# 📦 Import Required Libraries\n", + "import numpy as np\n", + "from scipy import stats\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# 🎲 Step 1: Generate Random Integer List\n", + "np.random.seed(42) # For reproducibility\n", + "data = np.random.randint(20, 40, size=30)\n", + "print(\"Generated Data:\", data)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "cUfGpmVCHvR5" + }, + "source": [ + "### 📊 Step 2: Central Tendency and Quantiles\n", + "Let's compute basic statistics — mean, median, mode, and quantiles." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "FkmPc2r7Htaz" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mean: 29.733333333333334\n", + "Median: 30.0\n", + "Mode: 31\n", + "Q1 (25%): 25.25\n", + "Q3 (75%): 34.0\n" + ] + } + ], + "source": [ + "# 📐 Central Tendency\n", + "\n", + "mean_val = np.mean(data) # mean\n", + "\n", + "median_val = np.median(data) # median\n", + "\n", + "mode_val = stats.mode(data, keepdims=True).mode[0] # mode from scipu.stats lib\n", + "\n", + "# 📏 Quantiles\n", + "q1 = np.quantile(data, 0.25)\n", + "q3 = np.quantile(data, 0.75)\n", + "\n", + "print(f\"Mean: {mean_val}\")\n", + "print(f\"Median: {median_val}\")\n", + "print(f\"Mode: {mode_val}\")\n", + "print(f\"Q1 (25%): {q1}\")\n", + "print(f\"Q3 (75%): {q3}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "EBZ2KixtHztl" + }, + "source": [ + "### 🧪 Step 3: Skewness and Kurtosis\n", + "Skewness shows asymmetry, and kurtosis indicates the \"tailedness\" of the distribution." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "XDwmqc3-H05I" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Skewness: -0.00\n", + "Kurtosis: -1.14\n" + ] + } + ], + "source": [ + "# 📉 Skewness and Kurtosis\n", + "skew_val = stats.skew(data)\n", + "kurtosis_val = stats.kurtosis(data)\n", + "\n", + "print(f\"Skewness: {skew_val:.2f}\")\n", + "print(f\"Kurtosis: {kurtosis_val:.2f}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "FOPw0-dSH250" + }, + "source": [ + "### 📈 Step 4: Visualization - Bar Chart and Boxplot\n", + "Visualize the data to better understand its distribution and spread." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "Zfx5s6xLH1y8" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 📊 Bar Plot\n", + "plt.figure(figsize=(12, 4))\n", + "\n", + "plt.subplot(1, 2, 1)\n", + "# make a bar chart\n", + "plt.bar(range(len(data)), data)\n", + "plt.title(\"Bar Plot of Random Data\")\n", + "plt.xlabel(\"Index\")\n", + "plt.ylabel(\"Value\")\n", + "\n", + "# 📦 Boxplot\n", + "plt.subplot(1, 2, 2)\n", + "# make a box plot\n", + "plt.boxplot(data, vert=False)\n", + "plt.title(\"Boxplot of Random Data\")\n", + "plt.xlabel(\"Value\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "DsAi", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.6/AI-DS_Nexus__A0_6__MrAshki.ipynb b/a0.1/a0.6/AI-DS_Nexus__A0_6__MrAshki.ipynb new file mode 100644 index 0000000..dbff354 --- /dev/null +++ b/a0.1/a0.6/AI-DS_Nexus__A0_6__MrAshki.ipynb @@ -0,0 +1,220 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 06 — Descriptive Statistics\n", + "\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n", + "\n", + "\n", + "## 📘 Exploring Descriptive Statistics with NumPy & SciPy\n", + "This assignment guides you through generating random data, analyzing its statistical properties, and visualizing it using plots.\n" + ], + "metadata": { + "id": "Txr_tIDhHcu2" + } + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "x1gatSKSHYTm", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "20c0b33d-ab15-4eb0-8caf-eb33ae358234" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Generated Data: [26 39 34 30 27 26 38 30 30 23 27 22 21 31 25 21 20 31 31 36 29 35 34 34\n", + " 38 31 39 22 24 38]\n" + ] + } + ], + "source": [ + "# 📦 Import Required Libraries\n", + "import numpy as np\n", + "from scipy import stats\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# 🎲 Step 1: Generate Random Integer List\n", + "np.random.seed(42) # For reproducibility\n", + "data = np.random.randint(20, 40, size=30)\n", + "print(\"Generated Data:\", data)\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 📊 Step 2: Central Tendency and Quantiles\n", + "Let's compute basic statistics — mean, median, mode, and quantiles." + ], + "metadata": { + "id": "cUfGpmVCHvR5" + } + }, + { + "cell_type": "code", + "source": [ + "# 📐 Central Tendency\n", + "# mean\n", + "mean_val = np.mean(data)\n", + "# median\n", + "median_val = np.median(data)\n", + "# mode\n", + "mode_val = stats.mode(data, keepdims=True).mode[0]\n", + "\n", + "# 📏 Quantiles\n", + "q1 = np.quantile(data, 0.25)\n", + "q3 = np.quantile(data, 0.75)\n", + "\n", + "print(f\"Mean: {mean_val}\")\n", + "print(f\"Median: {median_val}\")\n", + "print(f\"Mode: {mode_val}\")\n", + "print(f\"Q1 (25%): {q1}\")\n", + "print(f\"Q3 (75%): {q3}\")\n" + ], + "metadata": { + "id": "FkmPc2r7Htaz", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "d1bde655-0c78-494f-a883-5f9fc3f2dba5" + }, + "execution_count": 6, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Mean: 29.733333333333334\n", + "Median: 30.0\n", + "Mode: 31\n", + "Q1 (25%): 25.25\n", + "Q3 (75%): 34.0\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 🧪 Step 3: Skewness and Kurtosis\n", + "Skewness shows asymmetry, and kurtosis indicates the \"tailedness\" of the distribution." + ], + "metadata": { + "id": "EBZ2KixtHztl" + } + }, + { + "cell_type": "code", + "source": [ + "# 📉 Skewness and Kurtosis\n", + "skew_val = stats.skew(data)\n", + "kurtosis_val = stats.kurtosis(data)\n", + "\n", + "print(f\"Skewness: {skew_val:.2f}\")\n", + "print(f\"Kurtosis: {kurtosis_val:.2f}\")\n" + ], + "metadata": { + "id": "XDwmqc3-H05I", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "fd0a4951-7e4e-4433-f466-d03aec209ce3" + }, + "execution_count": 8, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Skewness: -0.00\n", + "Kurtosis: -1.14\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 📈 Step 4: Visualization - Bar Chart and Boxplot\n", + "Visualize the data to better understand its distribution and spread." + ], + "metadata": { + "id": "FOPw0-dSH250" + } + }, + { + "cell_type": "code", + "source": [ + "# 📊 Bar Plot\n", + "plt.figure(figsize=(12, 4))\n", + "\n", + "plt.subplot(1, 2, 1)\n", + "# make a bar chart\n", + "plt.bar(range(len(data)), data)\n", + "plt.title(\"Bar Plot of Random Data\")\n", + "plt.xlabel(\"Index\")\n", + "plt.ylabel(\"Value\")\n", + "\n", + "# 📦 Boxplot\n", + "plt.subplot(1, 2, 2)\n", + "# make a box plot\n", + "plt.boxplot(data, vert=False)\n", + "plt.title(\"Boxplot of Random Data\")\n", + "plt.xlabel(\"Value\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ], + "metadata": { + "id": "Zfx5s6xLH1y8", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 288 + }, + "outputId": "859c58ba-d27a-4c83-9df9-874c48283b89" + }, + "execution_count": 10, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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+ }, + "metadata": {} + } + ] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.6/AI-DS_Nexus__A0_6__aminran.ipynb b/a0.1/a0.6/AI-DS_Nexus__A0_6__aminran.ipynb new file mode 100644 index 0000000..dd1856b --- /dev/null +++ b/a0.1/a0.6/AI-DS_Nexus__A0_6__aminran.ipynb @@ -0,0 +1,218 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 06 — Descriptive Statistics\n", + "\n", + "## 📘 Exploring Descriptive Statistics with NumPy & SciPy\n", + "This assignment guides you through generating random data, analyzing its statistical properties, and visualizing it using plots.\n" + ], + "metadata": { + "id": "Txr_tIDhHcu2" + } + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "x1gatSKSHYTm", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "4b758d8f-1197-45a8-95c3-04205651dd49" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Generated Data: [26 39 34 30 27 26 38 30 30 23 27 22 21 31 25 21 20 31 31 36 29 35 34 34\n", + " 38 31 39 22 24 38]\n" + ] + } + ], + "source": [ + "# 📦 Import Required Libraries\n", + "import numpy as np\n", + "from scipy import stats\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# 🎲 Step 1: Generate Random Integer List\n", + "np.random.seed(42) # For reproducibility\n", + "data = np.random.randint(20, 40, size=30)\n", + "print(\"Generated Data:\", data)\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 📊 Step 2: Central Tendency and Quantiles\n", + "Let's compute basic statistics — mean, median, mode, and quantiles." + ], + "metadata": { + "id": "cUfGpmVCHvR5" + } + }, + { + "cell_type": "code", + "source": [ + "# 📐 Central Tendency\n", + "# mean\n", + "mean_val = np.mean(data)\n", + "# median\n", + "median_val = np.median(data)\n", + "# mode\n", + "mode_val = stats.mode(data, keepdims=True).mode[0]\n", + "\n", + "# 📏 Quantiles\n", + "q1 = np.quantile(data, 0.25)\n", + "q3 = np.quantile(data, 0.75)\n", + "\n", + "print(f\"Mean: {mean_val}\")\n", + "print(f\"Median: {median_val}\")\n", + "print(f\"Mode: {mode_val}\")\n", + "print(f\"Q1 (25%): {q1}\")\n", + "print(f\"Q3 (75%): {q3}\")\n" + ], + "metadata": { + "id": "FkmPc2r7Htaz", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "9199c4c9-4d9b-44ca-a1b5-379306c43d1c" + }, + "execution_count": 6, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Mean: 29.733333333333334\n", + "Median: 30.0\n", + "Mode: 31\n", + "Q1 (25%): 25.25\n", + "Q3 (75%): 34.0\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 🧪 Step 3: Skewness and Kurtosis\n", + "Skewness shows asymmetry, and kurtosis indicates the \"tailedness\" of the distribution." + ], + "metadata": { + "id": "EBZ2KixtHztl" + } + }, + { + "cell_type": "code", + "source": [ + "# 📉 Skewness and Kurtosis\n", + "skew_val = stats.skew(data)\n", + "kurtosis_val = stats.kurtosis(data)\n", + "\n", + "print(f\"Skewness: {skew_val:.2f}\")\n", + "print(f\"Kurtosis: {kurtosis_val:.2f}\")\n" + ], + "metadata": { + "id": "XDwmqc3-H05I", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "00ce7f5d-6efd-4e99-f3d7-35e77cc19eed" + }, + "execution_count": 8, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Skewness: -0.00\n", + "Kurtosis: -1.14\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 📈 Step 4: Visualization - Bar Chart and Boxplot\n", + "Visualize the data to better understand its distribution and spread." + ], + "metadata": { + "id": "FOPw0-dSH250" + } + }, + { + "cell_type": "code", + "source": [ + "# 📊 Bar Plot\n", + "plt.figure(figsize=(12, 4))\n", + "\n", + "plt.subplot(1, 2, 1)\n", + "# make a bar chart\n", + "plt.bar(range(len(data)), data)\n", + "plt.title(\"Bar Plot of Random Data\")\n", + "plt.xlabel(\"Index\")\n", + "plt.ylabel(\"Value\")\n", + "\n", + "# 📦 Boxplot\n", + "plt.subplot(1, 2, 2)\n", + "# make a box plot\n", + "plt.boxplot(data, vert=False)\n", + "plt.title(\"Boxplot of Random Data\")\n", + "plt.xlabel(\"Value\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ], + "metadata": { + "id": "Zfx5s6xLH1y8", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 407 + }, + "outputId": "04f20f5b-24c3-418f-d012-a7ee8ea9c980" + }, + "execution_count": 10, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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+ }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "9IDcUqBuw3wW" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.6/AI-DS_Nexus__A0_6__rsayyareh.ipynb b/a0.1/a0.6/AI-DS_Nexus__A0_6__rsayyareh.ipynb new file mode 100644 index 0000000..a64bc44 --- /dev/null +++ b/a0.1/a0.6/AI-DS_Nexus__A0_6__rsayyareh.ipynb @@ -0,0 +1,225 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "Txr_tIDhHcu2" + }, + "source": [ + "# 📚 Assignment 06 — Descriptive Statistics\n", + "\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n", + "\n", + "\n", + "## 📘 Exploring Descriptive Statistics with NumPy & SciPy\n", + "This assignment guides you through generating random data, analyzing its statistical properties, and visualizing it using plots.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "x1gatSKSHYTm" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Generated Data: [37 30 35 34 38 37 30 38 27 30]\n" + ] + }, + { + "data": { + "text/plain": [ + "array([27, 30, 30, 30, 34, 35, 37, 37, 38, 38], dtype=int32)" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# 📦 Import Required Libraries\n", + "import numpy as np\n", + "import random\n", + "from scipy import stats\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# 🎲 Step 1: Generate Random Integer List\n", + "np.random.random(42) # For reproducibility\n", + "data = np.random.randint(20, 40, size=10)\n", + "print(\"Generated Data:\", data)\n", + "np.sort(data)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "cUfGpmVCHvR5" + }, + "source": [ + "### 📊 Step 2: Central Tendency and Quantiles\n", + "Let's compute basic statistics — mean, median, mode, and quantiles." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "id": "FkmPc2r7Htaz" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mean: 33.6\n", + "Median: 34.5\n", + "Mode: 30\n", + "Q1 (25%): 30.0\n", + "Q3 (75%): 37.0\n", + "34.5\n" + ] + } + ], + "source": [ + "# 📐 Central Tendency\n", + "# mean\n", + "mean_val = np.mean(data)\n", + "# median\n", + "median_val = np.median(data)\n", + "# mode\n", + "mode_val = stats.mode(data, keepdims=True).mode[0]\n", + "\n", + "# 📏 Quantiles\n", + "q1 = np.quantile(data, 0.25)\n", + "q3 = np.quantile(data, 0.75)\n", + "\n", + "print(f\"Mean: {mean_val}\")\n", + "print(f\"Median: {median_val}\")\n", + "print(f\"Mode: {mode_val}\")\n", + "print(f\"Q1 (25%): {q1}\")\n", + "print(f\"Q3 (75%): {q3}\")\n", + "print(np.quantile(data, 0.5))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "EBZ2KixtHztl" + }, + "source": [ + "### 🧪 Step 3: Skewness and Kurtosis\n", + "Skewness shows asymmetry, and kurtosis indicates the \"tailedness\" of the distribution." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "id": "XDwmqc3-H05I" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Skewness: 0.17\n", + "Kurtosis: -1.23\n" + ] + } + ], + "source": [ + "# 📉 Skewness and Kurtosis\n", + "skew_val = stats.skew(data)\n", + "kurtosis_val = stats.kurtosis(data)\n", + "\n", + "print(f\"Skewness: {skew_val:.2f}\")\n", + "print(f\"Kurtosis: {kurtosis_val:.2f}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "FOPw0-dSH250" + }, + "source": [ + "### 📈 Step 4: Visualization - Bar Chart and Boxplot\n", + "Visualize the data to better understand its distribution and spread." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "id": "Zfx5s6xLH1y8" + }, + "outputs": [ + { + "data": { + "image/png": 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joKhcisRaXHl4xx13rEnkNPWYvjzijcae0Gros5dXDBSVUHFxmZjUvbnil5grNar4oros5jCLqrNIokaVVcSgYiBaI0kpaCFiEsjaVSm/+93v8kEqAqy4MkdZHAgrpX///rm0PUqNa581Kpcax+tNDTDK73v22Wfzgbj2Gbz61vtZxRDFCAZistCYKDOSTzEhZwQdMdHmYYcdVrNsDClYVtHm+++/P3+ftaulYtLNJZer7/ny9kdSbVnPkDaH8tnVCF7LZ6absm82tB/EVX1iiEXtKwTGHxENXZ0QgLYXCzUl7og4Iv7IjyH6UfETQwHj+F6umimLWCOGdZWro0LEAKGhi8REdXRMYN3QsTpil3KSp6nxT5ExQFwgJY7pMWl3TA6+POLN6Ks4URpJwSXVFwPF9xHL1p4M/u23387xQHPGf8siYpWojKo97LCx8UtD+0FcgS+q2GOYau0L0cTVpaG1MqcUtABxJibmKojS8/JBOc76xAGt9uVho6w8LsNbKXvvvXduT+1L44a4+k20Na4eUxZBVGMTDLHet956K/32t7+tE5jGPFeR0ClfBrm5xJmoCAhi+GLtM2y1z6jF/+Ns7bKKbYptiCuylEXfxTbVFmck42pCkRCr3V9RnRT7RKynUiIQO/TQQ3MFWVzRqBxgNWXfbGg/iHUseQYz+sblkAHapvpiocbGHfHeqGyOoX5x7I6rm0ViI67YW5/a64tjUTyO6qDdd9+93uXjmBVXk7v99tvrDPGLz4hqoqg8isqXUE4iNSYGKjoGiKqcuFJe9E/EXcsj3oz1RRIn3h9TI5TF1fTKlWxl5e2bMGFCnefLV1Bc8sp/RXrmmWdyNVQMTYwrOTY1fmloP6gv5oz5zKJKDVorlVJQhWJizvJZvrgMcgQ0cZbozDPPrAlq4kAcB+WYmDIm0YzlYlLQGEIVZwMrIS67G6X1kaCIgGXw4ME5aIogLQ7ctSe+HDJkSD67GdsQQWKU0JcnnlzSsccemy+rHAHlk08+mc9Uxpmov/zlLzlQWXIuic8qgtgoxY62RaARw/Wi7aeddloeshffQZw5/CxzEURfxeWc4zuNvorJOeOsWH1zBcSk69GmKAOPycrLl4OOs7sxcWsRYrtjotnyGeq4rPHNN9+cg9aYcDSqysqasm82tB/EEMqYbDW2Mfrm0UcfzcuVLycNQOvWmFiosXFHeT6kqFCOmCEm3475lGLeni9/+ct1kjtRFXT33Xfnapc4HkU7YkLt73znO5+YL7K2+IyooI4EVEykHhczidgl5mC64IILapaLJFMkHs4///x8zI/qo5iIu6F5O4uOAb797W+nm266KcdXUTm1POLNcePG5T6O+ayir8onGmNIZu11xvcZ38Mvf/nLmmFtjz/+eE7SxXDD+O6LEEMYo9opEktx0jLiz5hjNL6DqCyLOa7KGhu/NLQfxEV0ItEV2x0T8UdCMNbXHNMtQNWq9OX/gKVfBjkumRuXA77sssvyZYlru+qqq0oDBgzIl0keOHBgfn9cnnjJH+14fPzxxze6Hbvssktp0003/dTl4tLJcQne2ubNm1c65ZRTSn369CmtuOKKuX0/+clPPtH2F198MV8iOS7TG+2LdS3N22+/XTriiCNKvXr1ypcb3nzzzfP2LinaE5duboylLRuXnY52lT8jLlW8xx57lFZeeeXchmOOOabmMse12xHb0bVr10+sr77vJS7vfOihh5a6d+9e6tGjR/7/008//Yl1hvvuu6+0ww475P6K5UeOHJnbVN9n1L5k9dLa1NjvuXyZ5bjFpaLj8+N90QePPfZYve9p7L7Z0H7w7rvv1nzf0efDhw/Py0ZbPm1fAaDtxEKfFnc8+eSTpQ4dOpROPPHEOu/7z3/+U9pqq63y++KYU/t4OXPmzNKwYcNKXbp0Ka255pr5+LVo0aI67492xfO1PfXUU/l4FceteO+uu+5aeuSRRz6xjVdeeWVpvfXWK62wwgp5PQ888MBS+6QxMUCsI9Z18803f2off9qyQ4cOzZ8zZ86cZok36zt2T5kypTRkyJAc00VfXH755fWu8+OPPy6NGzeutO666+bvt1+/fqWxY8eWPvzww0bFdPW16dVXX83Px37SmH4q3+LzV1999Ry3nHvuuaV33nnnE+9pSvzS0H7wl7/8pbTtttvm7zv2z9NPP710zz33NGpfgZaoXfxT6cQYAABAJUVFdlRil+esAmD5M6cUAAAAAIWTlAIAAACgcJJSAAAAABTOnFIAAAAAFE6lFAAAAACFk5QCAAAAoHAdUiu3ePHi9Oabb6Zu3bqldu3aVbo5AEAbETMkzJs3L/Xp0ye1b1+Z84DiIACgmuOgVp+UikCsX79+lW4GANBGzZo1K/Xt27ciny0OAgCqOQ5q9UmpODNY7oju3btXujkAQBsxd+7cnBAqxyKVIA4CAKo5Dmr1SalyqXoEYoIxAKBolRw2Jw4CAKo5DjLROQAAAACFk5QCAAAAoHCSUgAAAAAUTlIKAAAAgMJJSgEAAABQOEkpAAAAAAonKQUAAABA4SSlAAAAACicpBQAAAAAhZOUAgAAAKBwklIAAAAAFE5SCgAAAIDCdSj+I4G2ap0z70zV7LXz9ql0E2il+1awfwEAQF0qpQAAAAAonKQUAAAAAIWTlAIAAACgcJJSAAAAABROUgoAAACAwklKAQAAAFC4DsV/ZOtU7ZcjdylyaDs/78HPPAAAUO1USgEAAABQOEkpAAAAAAonKQUAAABA4SSlAAAAACicpBQAAAAAhZOUAgAAAKBwklIAAAAAFE5SCgAAAIDCSUoBAAAAUDhJKQAAAADaVlLqsssuS4MGDUrdu3fPt+222y7dddddNa8PHTo0tWvXrs7t61//eiWbDAAAAEAz6JAqqG/fvum8885LAwYMSKVSKV1zzTVp3333TU8//XTadNNN8zLHHHNMOuecc2re06VLlwq2GAAAAIAWn5QaOXJkncfnnnturp6aOnVqTVIqklC9e/euUAsBAAAAaNVzSi1atCjdeOONaf78+XkYX9n111+fevXqlTbbbLM0duzYtGDBgoq2EwAAAIAWXikVnnvuuZyE+vDDD9PKK6+cbr311rTJJpvk1w466KDUv3//1KdPn/Tss8+mM844I7300kvp97//fYPrW7hwYb6VzZ07t5DtAAAAAKAFJaU22mijNG3atPTee++lW265JY0ZMyZNmTIlJ6aOPfbYmuU233zztNZaa6Xdd989zZw5M62//vr1rm/8+PFp3LhxBW4B1WqdM+9M1ey18/apdBMAAACg7Q7f69ixY9pggw3SkCFDckJp8ODB6ZJLLql32W222Sbfz5gxo8H1xRC/SHCVb7NmzVpubQcAAACghVZKLWnx4sV1ht/VFhVVISqmGtKpU6d8AwAAAKB6VTQpFVVNI0aMSGuvvXaaN29euuGGG9KDDz6Y7rnnnjxELx7vvffeabXVVstzSp1yyilp5513ToMGDapkswEAAABoyUmpd955Jx122GFp9uzZqUePHjnZFAmpPffcMw+7u++++9KECRPyFfn69euXRo8enc4666xKNhkAAACAlp6Uuuqqqxp8LZJQMeE5AAAAAK1PxSc6BwAAAKDtqbqJzoG61jnzzlTtXjtvn0o3AQAAgBZGpRQAAAAAhZOUAgAAAKBwklIAAAAAFE5SCgAAAIDCSUoBAAAAUDhJKQAAAAAKJykFAAAAQOEkpQAAAAAonKQUAAAAAIWTlAIAAACgcJJSAAAAABROUgoAAACAwklKAQAAAFA4SSkAAAAACicpBQAAAEDhJKUAAAAAKJykFAAAAACFk5QCAAAAoHCSUgAAAAAUTlIKAAAAgMJJSgEAAABQOEkpAAAAAAonKQUAAABA4SSlAAAAACicpBQAAAAAbSspddlll6VBgwal7t2759t2222X7rrrrprXP/zww3T88cen1VZbLa288spp9OjR6e23365kkwEAAABo6Umpvn37pvPOOy89+eST6Yknnki77bZb2nfffdMLL7yQXz/llFPSHXfckW6++eY0ZcqU9Oabb6b999+/kk0GAAAAoBl0SBU0cuTIOo/PPffcXD01derUnLC66qqr0g033JCTVWHSpElp4403zq9vu+22FWo1AAAAAK1mTqlFixalG2+8Mc2fPz8P44vqqY8//jjtscceNcsMHDgwrb322unRRx+taFsBAAAAaMGVUuG5557LSaiYPyrmjbr11lvTJptskqZNm5Y6duyYVllllTrLr7nmmumtt95qcH0LFy7Mt7K5c+cu1/YDAAAA0AKTUhtttFFOQL333nvplltuSWPGjMnzRy2r8ePHp3HjxjVrG9uSdc68M1W7187bp9JNgFaj2n/m/by3XNW+bwX7FwBAGx++F9VQG2ywQRoyZEhOKA0ePDhdcsklqXfv3umjjz5Kc+bMqbN8XH0vXmvI2LFjc4KrfJs1a1YBWwEAAABAi0pKLWnx4sV5+F0kqVZcccV0//3317z20ksvpddffz0P92tIp06dUvfu3evcAAAAAKguFR2+F1VNI0aMyJOXz5s3L19p78EHH0z33HNP6tGjRzrqqKPSqaeemnr27JmTSyeeeGJOSLnyHgAAAEDLVtGk1DvvvJMOO+ywNHv27JyEGjRoUE5I7bnnnvn1iy++OLVv3z6NHj06V08NHz48/eIXv6hkkwEAAABo6Umpq666aqmvd+7cOU2cODHfAAAAAGg9qm5OKQAAAABaP0kpAAAAAAonKQUAAABA4SSlAAAAACicpBQAAAAAhZOUAgAAAKBwklIAAAAAFE5SCgAAAIDCSUoBAAAAUDhJKQAAAAAKJykFAAAAQOEkpQAAAAAonKQUAAAAAIWTlAIAAACgcJJSAAAAABROUgoAAACAwklKAQAAAFC4DsV/JADQkHXOvDNVs9fO26fSTQAAoJVQKQUAAABA4SSlAAAAACicpBQAAAAAhZOUAgAAAKBwklIAAAAAFE5SCgAAAIDCSUoBAAAAUDhJKQAAAAAKJykFAAAAQOEkpQAAAABoW0mp8ePHp6222ip169YtrbHGGmnUqFHppZdeqrPM0KFDU7t27ercvv71r1eszQAAAAC08KTUlClT0vHHH5+mTp2a7r333vTxxx+nYcOGpfnz59dZ7phjjkmzZ8+uuV1wwQUVazMAAAAAn12HVEF33313nceTJ0/OFVNPPvlk2nnnnWue79KlS+rdu3cFWggAAABAq59T6r333sv3PXv2rPP89ddfn3r16pU222yzNHbs2LRgwYIG17Fw4cI0d+7cOjcAAAAAqktFK6VqW7x4cTr55JPTDjvskJNPZQcddFDq379/6tOnT3r22WfTGWeckeed+v3vf9/gPFXjxo0rsOUAAAAAtNikVMwt9fzzz6c///nPdZ4/9thja/6/+eabp7XWWivtvvvuaebMmWn99df/xHqikurUU0+teRyVUv369VvOrQcAAACgxSWlTjjhhPTHP/4xPfTQQ6lv375LXXabbbbJ9zNmzKg3KdWpU6d8AwAAAKB6VTQpVSqV0oknnphuvfXW9OCDD6Z11133U98zbdq0fB8VUwAAAAC0TB0qPWTvhhtuSLfffnvq1q1beuutt/LzPXr0SCuttFIeohev77333mm11VbLc0qdcsop+cp8gwYNqmTTAQAAAGipSanLLrss3w8dOrTO85MmTUqHH3546tixY7rvvvvShAkT0vz58/PcUKNHj05nnXVWhVoMAAAAQKsYvrc0kYSaMmVKYe0BAAAAoBjtC/ocAAAAAKghKQUAAABA4SSlAAAAACicpBQAAAAAhZOUAgAAAKBwklIAAAAAFE5SCgAAAIDCSUoBAAAAULgOxX8kAADQFrzyyitp3rx5lW4GwHLVrVu3NGDAgEo3o0WSlAIAAJZLQmrDDTesdDOg6vVeuV06bkjHdMWTH6W33i9Vujkso5dfflliahlISgEAAM2uXCF13XXXpY033rjSzYGqtdKcl9PGDx2XDvz+5PTBKhK5Lc306dPTIYccoip0GUlKAQAAy00kpLbYYotKNwOq15vtU3oopY0HDkypz+cr3RoolInOAQAAACicpBQAAAAAhZOUAgAAAKBlJKX+85//pPvuuy9dccUVNZN5vfnmm+n9999v7vYBAAAA0Ao1eaLzv/3tb2mvvfZKr7/+elq4cGHac889U7du3dL555+fH19++eXLp6UAAAAAtN1KqZNOOiltueWW6d13300rrbRSzfP77bdfuv/++5u7fQAAAAC0Qk2ulHr44YfTI488kjp27Fjn+XXWWSf9/e9/b862AQAAANBKNblSavHixWnRokWfeP6NN97Iw/gAAGg7FixYkJ566ql8DwBUvwVVdOxuclJq2LBhacKECTWP27Vrlyc4P/vss9Pee+/d3O0DAKCKvfjii2nIkCH5HgCofi9W0bG7ycP3LrzwwjR8+PC0ySabpA8//DAddNBB6ZVXXkm9evVKv/nNb5ZPKwEAAABoVZqclOrbt2965pln0o033pieffbZXCV11FFHpYMPPrjOxOcAAAAA0GxJqfymDh3SIYccsixvBQAAAICmJ6Wuvfbapb5+2GGHfZb2AAAAANAGNDkpddJJJ9V5/PHHH+cZ2zt27Ji6dOkiKQUAAABA81997913361zizmlXnrppbTjjjua6BwAAACA5ZOUqs+AAQPSeeed94kqqk8zfvz4tNVWW6Vu3bqlNdZYI40aNSonuGqLK/wdf/zxabXVVksrr7xyGj16dHr77bebo9kAAFXtoYceSiNHjkx9+vRJ7dq1S7fddlulmwQAUF1JqfLk52+++WaT3jNlypSccJo6dWq6995781DAYcOGpfnz59csc8opp6Q77rgj3XzzzXn5+Iz999+/uZoNAFC1IiYaPHhwmjhxYqWbAgBQ+Tml/vCHP9R5XCqV0uzZs9PPf/7ztMMOOzRpXXfffXedx5MnT84VU08++WTaeeed03vvvZeuuuqqdMMNN6TddtstLzNp0qS08cYb50TWtttu29TmAwC0GCNGjMg3AIDWqMlJqRhiV1uUkq+++uo5aXThhRd+psZEEir07Nkz30dyKqqn9thjj5plBg4cmNZee+306KOP1puUWrhwYb6VzZ079zO1CQAAAIAqSEotXrx4OTTj/1/vySefnKutNttss/zcW2+9la/qt8oqq9RZds0118yvNTRP1bhx45ZLGwEAqlklTs598MEH+X769OnL/bNoWcr7RHkfAWiNWuJxcHoV/X5uclJqeYm5pZ5//vn05z//+TOtZ+zYsenUU0+tE4z169evGVoIAFDdKnFy7rXXXsv3hxxySKGfS8sR+0hTp/kAaCla8nHwtSr4/dyopFTtJM+nueiii5rciBNOOCH98Y9/zFeY6du3b83zvXv3Th999FGaM2dOnWqpuPpevFafTp065RsAQFtTiZNz66yzTr6/7rrr8ryfUPtMfPyRVt5HAFqjlngcnF5Fv58blZR6+umnG7WymF+qKWKS9BNPPDHdeuut6cEHH0zrrrtundeHDBmSVlxxxXT//fen0aNH5+deeuml9Prrr6ftttuuSZ8FANDaVeLk3EorrZTvIxDfYostCv1sWobyPgLQGrXk4+BKVfD7uVFJqQceeGC5DdmLK+vdfvvtqVu3bjXzRPXo0SN3TtwfddRR+YxfTH7evXv3nMSKhJQr7wEArd3777+fZsyYUfP41VdfTdOmTctxUVz4BQCgJavonFKXXXZZvh86dGid5ydNmpQOP/zw/P+LL744tW/fPldKxcSdw4cPT7/4xS8q0l4AgCI98cQTadddd615XB6aN2bMmDR58uQKtgwAoEJJqQiQbrrppjyMLuZ8qu33v/99k4bvfZrOnTuniRMn5hsAQFsSJ+4aEy8BALRE7Zv6hhtvvDFtv/32eWKsmAvq448/Ti+88EL605/+lIfbAQAAAECzJ6V+/OMf5yF1d9xxR+rYsWO65JJL0osvvpgOOOAAcxsAAAAAsHySUjNnzkz77LNP/n8kpebPn5+vunfKKaekX/7yl01dHQAAAABtUJOTUquuumqaN29e/v/nPve59Pzzz+f/z5kzJy1YsKD5WwgAAABA201KlZNPO++8c7r33nvz/7/yla+kk046KR1zzDHpa1/7Wtp9992XX0sBAAAAaHtX3xs0aFDaaqut0qhRo3IyKnz3u99NK664YnrkkUfS6NGj01lnnbU82woAAABAW0tKTZkyJU2aNCmNHz8+nXvuuTkJdfTRR6czzzxz+bYQAICqNXDgwPTkk0/mewCg+g2somN3o4fv7bTTTunqq69Os2fPTpdeeml67bXX0i677JI23HDDdP7556e33npr+bYUAICq06VLl7TFFlvkewCg+nWpomN3kyc679q1azriiCNy5dTLL7+ch/JNnDgxrb322ulLX/rS8mklAAAAAK1Kk5NStW2wwQbpO9/5Tp5Lqlu3bunOO+9svpYBAAAA0Go1ek6pJT300EN5ON/vfve71L59+3TAAQeko446qnlbBwAAAECr1KSk1JtvvpkmT56cbzNmzEjbb799+tnPfpYTUjGsDwAAAACaNSk1YsSIdN9996VevXqlww47LB155JFpo402auzbAQAAAKDpSakVV1wx3XLLLemLX/xiWmGFFRr7NgAAAABY9qTUH/7wh8YuCgAAAADLZ6JzAACAhixYsCDfP/XUU5VuClS1lea8nDZOKU1/8cX0wVuLK90cmmj69OmVbkKLJikFAAA0uxdffDHfH3PMMZVuClS13iu3S8cN6ZiuuPCg9Nb7pUo3h2XUrVu3SjehRZKUAgAAmt2oUaPy/cCBA1OXLl0q3Ryoel+qdAP4TAmpAQMGVLoZLZKkFAAA0Oziqt1HH310pZsBQBVrX+kGAAAAAND2SEoBAAAAUDhJKQAAAAAKJykFAAAAQOEkpQAAAAAonKQUAAAAAIWTlAIAAACgcJJSAAAAALStpNRDDz2URo4cmfr06ZPatWuXbrvttjqvH3744fn52re99tqrYu0FAAAAoBUkpebPn58GDx6cJk6c2OAykYSaPXt2ze03v/lNoW0EAAAAoPl1SBU0YsSIfFuaTp06pd69exfWJgAAAACWv6qfU+rBBx9Ma6yxRtpoo43SN77xjfSvf/1rqcsvXLgwzZ07t84NAAAAgOpS1UmpGLp37bXXpvvvvz+df/75acqUKbmyatGiRQ2+Z/z48alHjx41t379+hXaZgAAAACqfPjep/nqV79a8//NN988DRo0KK2//vq5emr33Xev9z1jx45Np556as3jqJSSmAIAAACoLlVdKbWk9dZbL/Xq1SvNmDFjqXNQde/evc4NAAAAgOrSopJSb7zxRp5Taq211qp0UwAAAABoqcP33n///TpVT6+++mqaNm1a6tmzZ76NGzcujR49Ol99b+bMmen0009PG2ywQRo+fHglmw0AAABAS05KPfHEE2nXXXeteVyeC2rMmDHpsssuS88++2y65ppr0pw5c1KfPn3SsGHD0g9/+MM8RA8AAACAlquiSamhQ4emUqnU4Ov33HNPoe0BAAAAoBgtak4pAAAAAFoHSSkAAAAACicpBQAAAEDhJKUAAAAAKJykFAAAAACFk5QCAAAAoHCSUgAAAAAUTlIKAAAAgMJJSgEAAABQOEkpAAAAAAonKQUAAABA4SSlAAAAACicpBQAAAAAhZOUAgAAAKBwklIAAAAAFE5SCgAAAIDCSUoBAAAAUDhJKQAAAAAKJykFAAAAQOEkpQAAAAAonKQUAAAAAIWTlAIAAACgcJJSAAAAABROUgoAAACAwklKAQAAAFA4SSkAAAAACicpBQAAAEDbSko99NBDaeTIkalPnz6pXbt26bbbbqvzeqlUSt///vfTWmutlVZaaaW0xx57pFdeeaVi7QUAAACgFSSl5s+fnwYPHpwmTpxY7+sXXHBB+tnPfpYuv/z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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 📊 Bar Plot\n", + "plt.figure(figsize=(12, 4))\n", + "\n", + "plt.subplot(1, 2, 1)\n", + "# make a bar chart\n", + "plt.bar(range(len(data)), data)\n", + "plt.title(\"Bar Plot of Random Data\")\n", + "plt.xlabel(\"Index\")\n", + "plt.ylabel(\"Value\")\n", + "\n", + "# 📦 Boxplot\n", + "plt.subplot(1, 2, 2)\n", + "# make a box plot\n", + "plt.boxplot(data, vert=False)\n", + "plt.title(\"Boxplot of Random Data\")\n", + "plt.xlabel(\"Value\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.7" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git "a/a0.1/a0.6/AI\342\200\223DS_Nexus___A0_6_Descriptive_Stats___RoohollaAlikhani.ipynb" "b/a0.1/a0.6/AI\342\200\223DS_Nexus___A0_6_Descriptive_Stats___RoohollaAlikhani.ipynb" new file mode 100644 index 0000000..13d7ed8 --- /dev/null +++ "b/a0.1/a0.6/AI\342\200\223DS_Nexus___A0_6_Descriptive_Stats___RoohollaAlikhani.ipynb" @@ -0,0 +1,209 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "Txr_tIDhHcu2" + }, + "source": [ + "# 📚 Assignment 06 — Descriptive Statistics\n", + "\n", + "## 📘 Exploring Descriptive Statistics with NumPy & SciPy\n", + "This assignment guides you through generating random data, analyzing its statistical properties, and visualizing it using plots.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "x1gatSKSHYTm" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Generated Data: [26 39 34 30 27 26 38 30 30 23 27 22 21 31 25 21 20 31 31 36 29 35 34 34\n", + " 38 31 39 22 24 38]\n" + ] + } + ], + "source": [ + "# 📦 Import Required Libraries\n", + "import numpy as np\n", + "from scipy import stats\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# 🎲 Step 1: Generate Random Integer List\n", + "np.random.seed(42) # For reproducibility\n", + "data = np.random.randint(20, 40, size=30)\n", + "print(\"Generated Data:\", data)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "cUfGpmVCHvR5" + }, + "source": [ + "### 📊 Step 2: Central Tendency and Quantiles\n", + "Let's compute basic statistics — mean, median, mode, and quantiles." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "FkmPc2r7Htaz" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mean: 29.733333333333334\n", + "Median: 30.0\n", + "Mode: 31\n", + "Q1 (25%): 25.25\n", + "Q3 (75%): 34.0\n" + ] + } + ], + "source": [ + "# 📐 Central Tendency\n", + "\n", + "mean_val = np.mean(data) # mean\n", + "\n", + "median_val = np.median(data) # median\n", + "\n", + "mode_val = stats.mode(data, keepdims=True).mode[0] # mode from scipu.stats lib\n", + "\n", + "# 📏 Quantiles\n", + "q1 = np.quantile(data, 0.25)\n", + "q3 = np.quantile(data, 0.75)\n", + "\n", + "print(f\"Mean: {mean_val}\")\n", + "print(f\"Median: {median_val}\")\n", + "print(f\"Mode: {mode_val}\")\n", + "print(f\"Q1 (25%): {q1}\")\n", + "print(f\"Q3 (75%): {q3}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "EBZ2KixtHztl" + }, + "source": [ + "### 🧪 Step 3: Skewness and Kurtosis\n", + "Skewness shows asymmetry, and kurtosis indicates the \"tailedness\" of the distribution." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "XDwmqc3-H05I" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Skewness: -0.00\n", + "Kurtosis: -1.14\n" + ] + } + ], + "source": [ + "# 📉 Skewness and Kurtosis\n", + "skew_val = stats.skew(data)\n", + "kurtosis_val = stats.kurtosis(data)\n", + "\n", + "print(f\"Skewness: {skew_val:.2f}\")\n", + "print(f\"Kurtosis: {kurtosis_val:.2f}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "FOPw0-dSH250" + }, + "source": [ + "### 📈 Step 4: Visualization - Bar Chart and Boxplot\n", + "Visualize the data to better understand its distribution and spread." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "Zfx5s6xLH1y8" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 📊 Bar Plot\n", + "plt.figure(figsize=(12, 4))\n", + "\n", + "plt.subplot(1, 2, 1)\n", + "# make a bar chart\n", + "plt.bar(range(len(data)), data)\n", + "plt.title(\"Bar Plot of Random Data\")\n", + "plt.xlabel(\"Index\")\n", + "plt.ylabel(\"Value\")\n", + "\n", + "# 📦 Boxplot\n", + "plt.subplot(1, 2, 2)\n", + "# make a box plot\n", + "plt.boxplot(data, vert=False)\n", + "plt.title(\"Boxplot of Random Data\")\n", + "plt.xlabel(\"Value\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "DsAi", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.7/AI-DS_Nexus__A0_7_Amirhossein_Zandi_8fca80.ipynb b/a0.1/a0.7/AI-DS_Nexus__A0_7_Amirhossein_Zandi_8fca80.ipynb new file mode 100644 index 0000000..5f89dc3 --- /dev/null +++ b/a0.1/a0.7/AI-DS_Nexus__A0_7_Amirhossein_Zandi_8fca80.ipynb @@ -0,0 +1,377 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "dbICYwLGo5Av" + }, + "source": [ + "# 🔥 Assignment: Exploring PyTorch\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "b8h5DExTo6K5" + }, + "source": [ + "## 🎯 Goal\n", + "This assignment evaluates your basic skills in using PyTorch, focusing on tensors, autograd, and a small training loop.\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "euolCT3oo8dR" + }, + "source": [ + "### 1️⃣ Setup and Basics\n", + "**Task:**\n", + "\n", + "* Install PyTorch and check its version.\n", + "\n", + "* Create a 2D tensor and print it." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "9AADPzP6o1iY" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2.7.1+cu128\n", + "x : tensor([[1., 2.],\n", + " [3., 4.]])\n" + ] + } + ], + "source": [ + "import torch\n", + "\n", + "print(torch.__version__)\n", + "x = torch.tensor([[1. , 2.] , [3. , 4.]])\n", + "print(f\"x : {x}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "T5mCQMYFpBJm" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "y : tensor([[5., 6.],\n", + " [7., 8.]])\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Create another tensor y of the same shape with values [[5, 6], [7, 8]].\n", + "\n", + "y = torch.tensor([[5. , 6.] , [7. , 8.]])\n", + "print(f\"y : {y}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7yRBms7npEUe" + }, + "source": [ + "### 2️⃣ Tensor Operations 🧮\n", + "**Task:** Perform addition and matrix multiplication." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "nGRNryC4pDv2" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Addition:\n", + " tensor([[ 6., 8.],\n", + " [10., 12.]])\n", + "Matrix Multiplication:\n", + " tensor([[19., 22.],\n", + " [43., 50.]])\n" + ] + } + ], + "source": [ + "z = x + y\n", + "print(\"Addition:\\n\", z)\n", + "\n", + "mat_mul = x @ y\n", + "print(\"Matrix Multiplication:\\n\", mat_mul)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "tf64nP2dpIod" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "multiplication : tensor([[ 5., 12.],\n", + " [21., 32.]])\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Perform element-wise multiplication (x * y) and print the result.\n", + "\n", + "multiplication = x * y\n", + "print(f\"multiplication : {multiplication}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "h3dABundpMYU" + }, + "source": [ + "### 3️⃣ Autograd and Gradients ⚙️\n", + "**Task:** Enable gradient tracking and compute derivatives." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "igtPKY90pLGt" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Gradient of b wrt a: tensor(8.)\n" + ] + } + ], + "source": [ + "a = torch.tensor(3.0, requires_grad=True)\n", + "b = (a ** 2) + 2 * a + 1\n", + "b.backward()\n", + "print(\"Gradient of b wrt a:\", a.grad)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "id": "bLceqHHvpOwt" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Gradient of q wrt p: tensor(16.)\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Create a tensor p with value 2.0 (requires_grad=True) and compute the gradient of q = p^3 + 4p.\n", + "\n", + "p = torch.tensor(2.0 , requires_grad=True)\n", + "q = p **3 + 4 * p\n", + "q.backward()\n", + "print(\"Gradient of q wrt p:\", p.grad)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "jytRN17EpVbM" + }, + "source": [ + "### 4️⃣ Random Tensors 🎲\n", + "**Task:** Generate a random tensor of shape (2, 3) and find its max and min." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "id": "fb7fv-E_pS6e" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Random Tensor:\n", + " tensor([[0.6975, 0.7858, 0.7772],\n", + " [0.3042, 0.1020, 0.1182]])\n", + "Max: tensor(0.7858)\n", + "Min: tensor(0.1020)\n" + ] + } + ], + "source": [ + "rand_tensor = torch.rand((2, 3))\n", + "print(\"Random Tensor:\\n\", rand_tensor)\n", + "print(\"Max:\", torch.max(rand_tensor))\n", + "print(\"Min:\", torch.min(rand_tensor))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "bhSClXespjvT" + }, + "source": [ + "### 5️⃣ Mini Training Loop 🤖\n", + "**Task:** Train a simple linear model y = wx + b using gradient descent." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "id": "o7s2KMJVpZ5M" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Trained weight: 1.651038408279419\n", + "Trained bias: 0.793222963809967\n" + ] + } + ], + "source": [ + "# Data\n", + "x_train = torch.tensor([[1.0], [2.0], [3.0]])\n", + "y_train = torch.tensor([[2.0], [4.0], [6.0]])\n", + "\n", + "# Model\n", + "w = torch.randn(1, requires_grad=True)\n", + "b = torch.zeros(1, requires_grad=True)\n", + "\n", + "# Training\n", + "learning_rate = 0.01\n", + "for epoch in range(100):\n", + " y_pred = w * x_train + b\n", + " loss = torch.mean((y_pred - y_train) ** 2)\n", + " loss.backward()\n", + "\n", + " # Update\n", + " with torch.no_grad():\n", + " w -= learning_rate * w.grad\n", + " b -= learning_rate * b.grad\n", + " w.grad.zero_()\n", + " b.grad.zero_()\n", + "\n", + "print(\"Trained weight:\", w.item())\n", + "print(\"Trained bias:\", b.item())\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "rGhFqtrVpv8_" + }, + "source": [ + "### 6️⃣ Bonus ⚡\n", + "* Convert a PyTorch tensor to a NumPy array.\n", + "\n", + "* Convert it back to a PyTorch tensor." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "id": "AF4t92eDpq0j" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sample 1 : tensor([1., 2., 3.])\n", + "---------------\n", + "numpy_arr : [1. 2. 3.]\n", + "Type of numpy_arr ===> \n", + "---------------\n", + "pytorch_tensor : tensor([1., 2., 3.])\n", + "Type of pytorch_tensor ===> \n" + ] + } + ], + "source": [ + "# To do\n", + "\n", + "sample_1 = torch.tensor([1. , 2. , 3.])\n", + "numpy_arr = sample_1.numpy()\n", + "pytorch_tensor = torch.from_numpy(numpy_arr)\n", + "\n", + "print(f\"Sample 1 : {sample_1}\")\n", + "print(\"---------------\")\n", + "print(f\"numpy_arr : {numpy_arr}\")\n", + "print(f\"Type of numpy_arr ===> {type(numpy_arr)}\")\n", + "print(\"---------------\")\n", + "print(f\"pytorch_tensor : {pytorch_tensor}\")\n", + "print(f\"Type of pytorch_tensor ===> {type(pytorch_tensor)}\")\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.7/AI-DS_Nexus__A0_7_Javid_Mohammadi_a60d6f.ipynb b/a0.1/a0.7/AI-DS_Nexus__A0_7_Javid_Mohammadi_a60d6f.ipynb new file mode 100644 index 0000000..d2422d6 --- /dev/null +++ b/a0.1/a0.7/AI-DS_Nexus__A0_7_Javid_Mohammadi_a60d6f.ipynb @@ -0,0 +1,373 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 🔥 Assignment: Exploring PyTorch\n" + ], + "metadata": { + "id": "dbICYwLGo5Av" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 🎯 Goal\n", + "This assignment evaluates your basic skills in using PyTorch, focusing on tensors, autograd, and a small training loop.\n", + "\n" + ], + "metadata": { + "id": "b8h5DExTo6K5" + } + }, + { + "cell_type": "markdown", + "source": [ + "### 1️⃣ Setup and Basics\n", + "**Task:**\n", + "\n", + "* Install PyTorch and check its version.\n", + "\n", + "* Create a 2D tensor and print it." + ], + "metadata": { + "id": "euolCT3oo8dR" + } + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": { + "id": "9AADPzP6o1iY", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "a3255ba7-1011-4e64-b67d-59332e5e0c2a" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "PyTorch version: 2.6.0+cu124\n", + "Tensor x:\n", + " tensor([[1., 2.],\n", + " [3., 4.]])\n" + ] + } + ], + "source": [ + "import torch\n", + "\n", + "print(\"PyTorch version:\", torch.__version__)\n", + "x = torch.tensor([[1., 2.], [3., 4.]])\n", + "print(\"Tensor x:\\n\", x)\n", + "#x.dtype, x.size()" + ] + }, + { + "cell_type": "code", + "source": [ + "# Your turn:\n", + "# Create another tensor y of the same shape with values [[5, 6], [7, 8]].\n", + "y = torch.arange(5, 9, dtype = torch.float32).view(2, 2)\n", + "print(\"Tensor y:\\n\", y)" + ], + "metadata": { + "id": "T5mCQMYFpBJm", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "dc300d16-d0e1-4467-e5f0-fcb222efb98e" + }, + "execution_count": 83, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Tensor y:\n", + " tensor([[5., 6.],\n", + " [7., 8.]])\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 2️⃣ Tensor Operations 🧮\n", + "**Task:** Perform addition and matrix multiplication." + ], + "metadata": { + "id": "7yRBms7npEUe" + } + }, + { + "cell_type": "code", + "source": [ + "z = x + y\n", + "print(\"Addition:\\n\", z)\n", + "\n", + "mat_mul = x @ y\n", + "print(\"Matrix Multiplication:\\n\", mat_mul)\n" + ], + "metadata": { + "id": "nGRNryC4pDv2", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "7edfa743-f0c9-43f9-8e97-2de0994f35da" + }, + "execution_count": 84, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Addition:\n", + " tensor([[ 6., 8.],\n", + " [10., 12.]])\n", + "Matrix Multiplication:\n", + " tensor([[19., 22.],\n", + " [43., 50.]])\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Your turn:\n", + "# Perform element-wise multiplication (x * y) and print the result.\n", + "print(\"Element-wise multiplication:\\n\", x * y)\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "tf64nP2dpIod", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "ceb8642a-5d6b-4e32-8b65-5d072fb19ab4" + }, + "execution_count": 85, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Element-wise multiplication:\n", + " tensor([[ 5., 12.],\n", + " [21., 32.]])\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 3️⃣ Autograd and Gradients ⚙️\n", + "**Task:** Enable gradient tracking and compute derivatives." + ], + "metadata": { + "id": "h3dABundpMYU" + } + }, + { + "cell_type": "code", + "source": [ + "a = torch.tensor(3.0, requires_grad=True)\n", + "b = (a ** 2) + 2 * a + 1\n", + "b.backward()\n", + "print(\"Gradient of b wrt a:\", a.grad)\n" + ], + "metadata": { + "id": "igtPKY90pLGt", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "ad9379e9-a75d-4a79-fae6-87ba427eef0b" + }, + "execution_count": 86, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Gradient of b wrt a: tensor(8.)\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Your turn:\n", + "# Create a tensor p with value 2.0 (requires_grad=True) and compute the gradient of q = p^3 + 4p.\n", + "p = torch.tensor(2.0, requires_grad=True)\n", + "q = p**3 + 4 * p\n", + "q.backward() #backpropagation\n", + "print(\"Gradient of q with respect to p:\", p.grad)\n" + ], + "metadata": { + "id": "bLceqHHvpOwt", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "ff35b248-27d3-4e2c-e023-e914b17501f6" + }, + "execution_count": 87, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Gradient of q with respect to p: tensor(16.)\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 4️⃣ Random Tensors 🎲\n", + "**Task:** Generate a random tensor of shape (2, 3) and find its max and min." + ], + "metadata": { + "id": "jytRN17EpVbM" + } + }, + { + "cell_type": "code", + "source": [ + "rand_tensor = torch.rand((2, 3))\n", + "print(\"Random Tensor:\\n\", rand_tensor)\n", + "print(\"Max:\", torch.max(rand_tensor))\n", + "print(\"Min:\", torch.min(rand_tensor))\n" + ], + "metadata": { + "id": "fb7fv-E_pS6e", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "77c97ec7-c762-497c-d531-4bdda8e67c6b" + }, + "execution_count": 88, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Random Tensor:\n", + " tensor([[0.6563, 0.8597, 0.1073],\n", + " [0.2714, 0.3323, 0.0801]])\n", + "Max: tensor(0.8597)\n", + "Min: tensor(0.0801)\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 5️⃣ Mini Training Loop 🤖\n", + "**Task:** Train a simple linear model y = wx + b using gradient descent." + ], + "metadata": { + "id": "bhSClXespjvT" + } + }, + { + "cell_type": "code", + "source": [ + "# Data\n", + "x_train = torch.tensor([[1.0], [2.0], [3.0]])\n", + "y_train = torch.tensor([[2.0], [4.0], [6.0]])\n", + "\n", + "# Model\n", + "w = torch.randn(1, requires_grad=True)\n", + "b = torch.randn(1, requires_grad=True)\n", + "\n", + "# Training\n", + "learning_rate = 0.01\n", + "for epoch in range(100):\n", + " y_pred = w * x_train + b\n", + " loss = torch.mean((y_pred - y_train) ** 2)\n", + " loss.backward()\n", + "\n", + " # Update\n", + " with torch.no_grad():\n", + " w -= learning_rate * w.grad\n", + " b -= learning_rate * b.grad\n", + " w.grad.zero_()\n", + " b.grad.zero_()\n", + "\n", + "print(\"Trained weight:\", w.item())\n", + "print(\"Trained bias:\", b.item())\n" + ], + "metadata": { + "id": "o7s2KMJVpZ5M", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "85fc1e55-272c-4151-cb6f-ce611228b96e" + }, + "execution_count": 89, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Trained weight: 1.8261533975601196\n", + "Trained bias: 0.39514806866645813\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 6️⃣ Bonus ⚡\n", + "* Convert a PyTorch tensor to a NumPy array.\n", + "\n", + "* Convert it back to a PyTorch tensor." + ], + "metadata": { + "id": "rGhFqtrVpv8_" + } + }, + { + "cell_type": "code", + "source": [ + "# To do\n", + "tensor = torch.tensor([[2, 3, 4, 7], [1, 0, 1, 0]])\n", + "numpy_array = tensor.numpy()\n", + "\n", + "tensor_new = torch.from_numpy(numpy_array)\n", + "\n", + "assert torch.equal(tensor, tensor_new)" + ], + "metadata": { + "id": "AF4t92eDpq0j" + }, + "execution_count": 90, + "outputs": [] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.7/AI-DS_Nexus__A0_7_Project__RezaShokr.ipynb b/a0.1/a0.7/AI-DS_Nexus__A0_7_Project__RezaShokr.ipynb new file mode 100644 index 0000000..5f89dc3 --- /dev/null +++ b/a0.1/a0.7/AI-DS_Nexus__A0_7_Project__RezaShokr.ipynb @@ -0,0 +1,377 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "dbICYwLGo5Av" + }, + "source": [ + "# 🔥 Assignment: Exploring PyTorch\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "b8h5DExTo6K5" + }, + "source": [ + "## 🎯 Goal\n", + "This assignment evaluates your basic skills in using PyTorch, focusing on tensors, autograd, and a small training loop.\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "euolCT3oo8dR" + }, + "source": [ + "### 1️⃣ Setup and Basics\n", + "**Task:**\n", + "\n", + "* Install PyTorch and check its version.\n", + "\n", + "* Create a 2D tensor and print it." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "9AADPzP6o1iY" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2.7.1+cu128\n", + "x : tensor([[1., 2.],\n", + " [3., 4.]])\n" + ] + } + ], + "source": [ + "import torch\n", + "\n", + "print(torch.__version__)\n", + "x = torch.tensor([[1. , 2.] , [3. , 4.]])\n", + "print(f\"x : {x}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "T5mCQMYFpBJm" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "y : tensor([[5., 6.],\n", + " [7., 8.]])\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Create another tensor y of the same shape with values [[5, 6], [7, 8]].\n", + "\n", + "y = torch.tensor([[5. , 6.] , [7. , 8.]])\n", + "print(f\"y : {y}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7yRBms7npEUe" + }, + "source": [ + "### 2️⃣ Tensor Operations 🧮\n", + "**Task:** Perform addition and matrix multiplication." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "nGRNryC4pDv2" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Addition:\n", + " tensor([[ 6., 8.],\n", + " [10., 12.]])\n", + "Matrix Multiplication:\n", + " tensor([[19., 22.],\n", + " [43., 50.]])\n" + ] + } + ], + "source": [ + "z = x + y\n", + "print(\"Addition:\\n\", z)\n", + "\n", + "mat_mul = x @ y\n", + "print(\"Matrix Multiplication:\\n\", mat_mul)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "tf64nP2dpIod" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "multiplication : tensor([[ 5., 12.],\n", + " [21., 32.]])\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Perform element-wise multiplication (x * y) and print the result.\n", + "\n", + "multiplication = x * y\n", + "print(f\"multiplication : {multiplication}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "h3dABundpMYU" + }, + "source": [ + "### 3️⃣ Autograd and Gradients ⚙️\n", + "**Task:** Enable gradient tracking and compute derivatives." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "igtPKY90pLGt" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Gradient of b wrt a: tensor(8.)\n" + ] + } + ], + "source": [ + "a = torch.tensor(3.0, requires_grad=True)\n", + "b = (a ** 2) + 2 * a + 1\n", + "b.backward()\n", + "print(\"Gradient of b wrt a:\", a.grad)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "id": "bLceqHHvpOwt" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Gradient of q wrt p: tensor(16.)\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Create a tensor p with value 2.0 (requires_grad=True) and compute the gradient of q = p^3 + 4p.\n", + "\n", + "p = torch.tensor(2.0 , requires_grad=True)\n", + "q = p **3 + 4 * p\n", + "q.backward()\n", + "print(\"Gradient of q wrt p:\", p.grad)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "jytRN17EpVbM" + }, + "source": [ + "### 4️⃣ Random Tensors 🎲\n", + "**Task:** Generate a random tensor of shape (2, 3) and find its max and min." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "id": "fb7fv-E_pS6e" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Random Tensor:\n", + " tensor([[0.6975, 0.7858, 0.7772],\n", + " [0.3042, 0.1020, 0.1182]])\n", + "Max: tensor(0.7858)\n", + "Min: tensor(0.1020)\n" + ] + } + ], + "source": [ + "rand_tensor = torch.rand((2, 3))\n", + "print(\"Random Tensor:\\n\", rand_tensor)\n", + "print(\"Max:\", torch.max(rand_tensor))\n", + "print(\"Min:\", torch.min(rand_tensor))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "bhSClXespjvT" + }, + "source": [ + "### 5️⃣ Mini Training Loop 🤖\n", + "**Task:** Train a simple linear model y = wx + b using gradient descent." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "id": "o7s2KMJVpZ5M" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Trained weight: 1.651038408279419\n", + "Trained bias: 0.793222963809967\n" + ] + } + ], + "source": [ + "# Data\n", + "x_train = torch.tensor([[1.0], [2.0], [3.0]])\n", + "y_train = torch.tensor([[2.0], [4.0], [6.0]])\n", + "\n", + "# Model\n", + "w = torch.randn(1, requires_grad=True)\n", + "b = torch.zeros(1, requires_grad=True)\n", + "\n", + "# Training\n", + "learning_rate = 0.01\n", + "for epoch in range(100):\n", + " y_pred = w * x_train + b\n", + " loss = torch.mean((y_pred - y_train) ** 2)\n", + " loss.backward()\n", + "\n", + " # Update\n", + " with torch.no_grad():\n", + " w -= learning_rate * w.grad\n", + " b -= learning_rate * b.grad\n", + " w.grad.zero_()\n", + " b.grad.zero_()\n", + "\n", + "print(\"Trained weight:\", w.item())\n", + "print(\"Trained bias:\", b.item())\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "rGhFqtrVpv8_" + }, + "source": [ + "### 6️⃣ Bonus ⚡\n", + "* Convert a PyTorch tensor to a NumPy array.\n", + "\n", + "* Convert it back to a PyTorch tensor." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "id": "AF4t92eDpq0j" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sample 1 : tensor([1., 2., 3.])\n", + "---------------\n", + "numpy_arr : [1. 2. 3.]\n", + "Type of numpy_arr ===> \n", + "---------------\n", + "pytorch_tensor : tensor([1., 2., 3.])\n", + "Type of pytorch_tensor ===> \n" + ] + } + ], + "source": [ + "# To do\n", + "\n", + "sample_1 = torch.tensor([1. , 2. , 3.])\n", + "numpy_arr = sample_1.numpy()\n", + "pytorch_tensor = torch.from_numpy(numpy_arr)\n", + "\n", + "print(f\"Sample 1 : {sample_1}\")\n", + "print(\"---------------\")\n", + "print(f\"numpy_arr : {numpy_arr}\")\n", + "print(f\"Type of numpy_arr ===> {type(numpy_arr)}\")\n", + "print(\"---------------\")\n", + "print(f\"pytorch_tensor : {pytorch_tensor}\")\n", + "print(f\"Type of pytorch_tensor ===> {type(pytorch_tensor)}\")\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.7/AI-DS_Nexus__A0_7_Project_roohi_268383.ipynb b/a0.1/a0.7/AI-DS_Nexus__A0_7_Project_roohi_268383.ipynb new file mode 100644 index 0000000..5f89dc3 --- /dev/null +++ b/a0.1/a0.7/AI-DS_Nexus__A0_7_Project_roohi_268383.ipynb @@ -0,0 +1,377 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "dbICYwLGo5Av" + }, + "source": [ + "# 🔥 Assignment: Exploring PyTorch\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "b8h5DExTo6K5" + }, + "source": [ + "## 🎯 Goal\n", + "This assignment evaluates your basic skills in using PyTorch, focusing on tensors, autograd, and a small training loop.\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "euolCT3oo8dR" + }, + "source": [ + "### 1️⃣ Setup and Basics\n", + "**Task:**\n", + "\n", + "* Install PyTorch and check its version.\n", + "\n", + "* Create a 2D tensor and print it." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "9AADPzP6o1iY" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2.7.1+cu128\n", + "x : tensor([[1., 2.],\n", + " [3., 4.]])\n" + ] + } + ], + "source": [ + "import torch\n", + "\n", + "print(torch.__version__)\n", + "x = torch.tensor([[1. , 2.] , [3. , 4.]])\n", + "print(f\"x : {x}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "T5mCQMYFpBJm" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "y : tensor([[5., 6.],\n", + " [7., 8.]])\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Create another tensor y of the same shape with values [[5, 6], [7, 8]].\n", + "\n", + "y = torch.tensor([[5. , 6.] , [7. , 8.]])\n", + "print(f\"y : {y}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7yRBms7npEUe" + }, + "source": [ + "### 2️⃣ Tensor Operations 🧮\n", + "**Task:** Perform addition and matrix multiplication." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "nGRNryC4pDv2" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Addition:\n", + " tensor([[ 6., 8.],\n", + " [10., 12.]])\n", + "Matrix Multiplication:\n", + " tensor([[19., 22.],\n", + " [43., 50.]])\n" + ] + } + ], + "source": [ + "z = x + y\n", + "print(\"Addition:\\n\", z)\n", + "\n", + "mat_mul = x @ y\n", + "print(\"Matrix Multiplication:\\n\", mat_mul)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "tf64nP2dpIod" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "multiplication : tensor([[ 5., 12.],\n", + " [21., 32.]])\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Perform element-wise multiplication (x * y) and print the result.\n", + "\n", + "multiplication = x * y\n", + "print(f\"multiplication : {multiplication}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "h3dABundpMYU" + }, + "source": [ + "### 3️⃣ Autograd and Gradients ⚙️\n", + "**Task:** Enable gradient tracking and compute derivatives." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "igtPKY90pLGt" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Gradient of b wrt a: tensor(8.)\n" + ] + } + ], + "source": [ + "a = torch.tensor(3.0, requires_grad=True)\n", + "b = (a ** 2) + 2 * a + 1\n", + "b.backward()\n", + "print(\"Gradient of b wrt a:\", a.grad)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "id": "bLceqHHvpOwt" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Gradient of q wrt p: tensor(16.)\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Create a tensor p with value 2.0 (requires_grad=True) and compute the gradient of q = p^3 + 4p.\n", + "\n", + "p = torch.tensor(2.0 , requires_grad=True)\n", + "q = p **3 + 4 * p\n", + "q.backward()\n", + "print(\"Gradient of q wrt p:\", p.grad)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "jytRN17EpVbM" + }, + "source": [ + "### 4️⃣ Random Tensors 🎲\n", + "**Task:** Generate a random tensor of shape (2, 3) and find its max and min." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "id": "fb7fv-E_pS6e" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Random Tensor:\n", + " tensor([[0.6975, 0.7858, 0.7772],\n", + " [0.3042, 0.1020, 0.1182]])\n", + "Max: tensor(0.7858)\n", + "Min: tensor(0.1020)\n" + ] + } + ], + "source": [ + "rand_tensor = torch.rand((2, 3))\n", + "print(\"Random Tensor:\\n\", rand_tensor)\n", + "print(\"Max:\", torch.max(rand_tensor))\n", + "print(\"Min:\", torch.min(rand_tensor))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "bhSClXespjvT" + }, + "source": [ + "### 5️⃣ Mini Training Loop 🤖\n", + "**Task:** Train a simple linear model y = wx + b using gradient descent." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "id": "o7s2KMJVpZ5M" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Trained weight: 1.651038408279419\n", + "Trained bias: 0.793222963809967\n" + ] + } + ], + "source": [ + "# Data\n", + "x_train = torch.tensor([[1.0], [2.0], [3.0]])\n", + "y_train = torch.tensor([[2.0], [4.0], [6.0]])\n", + "\n", + "# Model\n", + "w = torch.randn(1, requires_grad=True)\n", + "b = torch.zeros(1, requires_grad=True)\n", + "\n", + "# Training\n", + "learning_rate = 0.01\n", + "for epoch in range(100):\n", + " y_pred = w * x_train + b\n", + " loss = torch.mean((y_pred - y_train) ** 2)\n", + " loss.backward()\n", + "\n", + " # Update\n", + " with torch.no_grad():\n", + " w -= learning_rate * w.grad\n", + " b -= learning_rate * b.grad\n", + " w.grad.zero_()\n", + " b.grad.zero_()\n", + "\n", + "print(\"Trained weight:\", w.item())\n", + "print(\"Trained bias:\", b.item())\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "rGhFqtrVpv8_" + }, + "source": [ + "### 6️⃣ Bonus ⚡\n", + "* Convert a PyTorch tensor to a NumPy array.\n", + "\n", + "* Convert it back to a PyTorch tensor." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "id": "AF4t92eDpq0j" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sample 1 : tensor([1., 2., 3.])\n", + "---------------\n", + "numpy_arr : [1. 2. 3.]\n", + "Type of numpy_arr ===> \n", + "---------------\n", + "pytorch_tensor : tensor([1., 2., 3.])\n", + "Type of pytorch_tensor ===> \n" + ] + } + ], + "source": [ + "# To do\n", + "\n", + "sample_1 = torch.tensor([1. , 2. , 3.])\n", + "numpy_arr = sample_1.numpy()\n", + "pytorch_tensor = torch.from_numpy(numpy_arr)\n", + "\n", + "print(f\"Sample 1 : {sample_1}\")\n", + "print(\"---------------\")\n", + "print(f\"numpy_arr : {numpy_arr}\")\n", + "print(f\"Type of numpy_arr ===> {type(numpy_arr)}\")\n", + "print(\"---------------\")\n", + "print(f\"pytorch_tensor : {pytorch_tensor}\")\n", + "print(f\"Type of pytorch_tensor ===> {type(pytorch_tensor)}\")\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.7/AI-DS_Nexus__A0_7__RoohollaAlikhani.ipynb b/a0.1/a0.7/AI-DS_Nexus__A0_7__RoohollaAlikhani.ipynb new file mode 100644 index 0000000..5f89dc3 --- /dev/null +++ b/a0.1/a0.7/AI-DS_Nexus__A0_7__RoohollaAlikhani.ipynb @@ -0,0 +1,377 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "dbICYwLGo5Av" + }, + "source": [ + "# 🔥 Assignment: Exploring PyTorch\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "b8h5DExTo6K5" + }, + "source": [ + "## 🎯 Goal\n", + "This assignment evaluates your basic skills in using PyTorch, focusing on tensors, autograd, and a small training loop.\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "euolCT3oo8dR" + }, + "source": [ + "### 1️⃣ Setup and Basics\n", + "**Task:**\n", + "\n", + "* Install PyTorch and check its version.\n", + "\n", + "* Create a 2D tensor and print it." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "9AADPzP6o1iY" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2.7.1+cu128\n", + "x : tensor([[1., 2.],\n", + " [3., 4.]])\n" + ] + } + ], + "source": [ + "import torch\n", + "\n", + "print(torch.__version__)\n", + "x = torch.tensor([[1. , 2.] , [3. , 4.]])\n", + "print(f\"x : {x}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "T5mCQMYFpBJm" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "y : tensor([[5., 6.],\n", + " [7., 8.]])\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Create another tensor y of the same shape with values [[5, 6], [7, 8]].\n", + "\n", + "y = torch.tensor([[5. , 6.] , [7. , 8.]])\n", + "print(f\"y : {y}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7yRBms7npEUe" + }, + "source": [ + "### 2️⃣ Tensor Operations 🧮\n", + "**Task:** Perform addition and matrix multiplication." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "nGRNryC4pDv2" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Addition:\n", + " tensor([[ 6., 8.],\n", + " [10., 12.]])\n", + "Matrix Multiplication:\n", + " tensor([[19., 22.],\n", + " [43., 50.]])\n" + ] + } + ], + "source": [ + "z = x + y\n", + "print(\"Addition:\\n\", z)\n", + "\n", + "mat_mul = x @ y\n", + "print(\"Matrix Multiplication:\\n\", mat_mul)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "tf64nP2dpIod" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "multiplication : tensor([[ 5., 12.],\n", + " [21., 32.]])\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Perform element-wise multiplication (x * y) and print the result.\n", + "\n", + "multiplication = x * y\n", + "print(f\"multiplication : {multiplication}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "h3dABundpMYU" + }, + "source": [ + "### 3️⃣ Autograd and Gradients ⚙️\n", + "**Task:** Enable gradient tracking and compute derivatives." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "igtPKY90pLGt" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Gradient of b wrt a: tensor(8.)\n" + ] + } + ], + "source": [ + "a = torch.tensor(3.0, requires_grad=True)\n", + "b = (a ** 2) + 2 * a + 1\n", + "b.backward()\n", + "print(\"Gradient of b wrt a:\", a.grad)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "id": "bLceqHHvpOwt" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Gradient of q wrt p: tensor(16.)\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Create a tensor p with value 2.0 (requires_grad=True) and compute the gradient of q = p^3 + 4p.\n", + "\n", + "p = torch.tensor(2.0 , requires_grad=True)\n", + "q = p **3 + 4 * p\n", + "q.backward()\n", + "print(\"Gradient of q wrt p:\", p.grad)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "jytRN17EpVbM" + }, + "source": [ + "### 4️⃣ Random Tensors 🎲\n", + "**Task:** Generate a random tensor of shape (2, 3) and find its max and min." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "id": "fb7fv-E_pS6e" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Random Tensor:\n", + " tensor([[0.6975, 0.7858, 0.7772],\n", + " [0.3042, 0.1020, 0.1182]])\n", + "Max: tensor(0.7858)\n", + "Min: tensor(0.1020)\n" + ] + } + ], + "source": [ + "rand_tensor = torch.rand((2, 3))\n", + "print(\"Random Tensor:\\n\", rand_tensor)\n", + "print(\"Max:\", torch.max(rand_tensor))\n", + "print(\"Min:\", torch.min(rand_tensor))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "bhSClXespjvT" + }, + "source": [ + "### 5️⃣ Mini Training Loop 🤖\n", + "**Task:** Train a simple linear model y = wx + b using gradient descent." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "id": "o7s2KMJVpZ5M" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Trained weight: 1.651038408279419\n", + "Trained bias: 0.793222963809967\n" + ] + } + ], + "source": [ + "# Data\n", + "x_train = torch.tensor([[1.0], [2.0], [3.0]])\n", + "y_train = torch.tensor([[2.0], [4.0], [6.0]])\n", + "\n", + "# Model\n", + "w = torch.randn(1, requires_grad=True)\n", + "b = torch.zeros(1, requires_grad=True)\n", + "\n", + "# Training\n", + "learning_rate = 0.01\n", + "for epoch in range(100):\n", + " y_pred = w * x_train + b\n", + " loss = torch.mean((y_pred - y_train) ** 2)\n", + " loss.backward()\n", + "\n", + " # Update\n", + " with torch.no_grad():\n", + " w -= learning_rate * w.grad\n", + " b -= learning_rate * b.grad\n", + " w.grad.zero_()\n", + " b.grad.zero_()\n", + "\n", + "print(\"Trained weight:\", w.item())\n", + "print(\"Trained bias:\", b.item())\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "rGhFqtrVpv8_" + }, + "source": [ + "### 6️⃣ Bonus ⚡\n", + "* Convert a PyTorch tensor to a NumPy array.\n", + "\n", + "* Convert it back to a PyTorch tensor." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "id": "AF4t92eDpq0j" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sample 1 : tensor([1., 2., 3.])\n", + "---------------\n", + "numpy_arr : [1. 2. 3.]\n", + "Type of numpy_arr ===> \n", + "---------------\n", + "pytorch_tensor : tensor([1., 2., 3.])\n", + "Type of pytorch_tensor ===> \n" + ] + } + ], + "source": [ + "# To do\n", + "\n", + "sample_1 = torch.tensor([1. , 2. , 3.])\n", + "numpy_arr = sample_1.numpy()\n", + "pytorch_tensor = torch.from_numpy(numpy_arr)\n", + "\n", + "print(f\"Sample 1 : {sample_1}\")\n", + "print(\"---------------\")\n", + "print(f\"numpy_arr : {numpy_arr}\")\n", + "print(f\"Type of numpy_arr ===> {type(numpy_arr)}\")\n", + "print(\"---------------\")\n", + "print(f\"pytorch_tensor : {pytorch_tensor}\")\n", + "print(f\"Type of pytorch_tensor ===> {type(pytorch_tensor)}\")\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.7/AI-DS_Nexus__A0_7__aminran.ipynb b/a0.1/a0.7/AI-DS_Nexus__A0_7__aminran.ipynb new file mode 100644 index 0000000..4b7820d --- /dev/null +++ b/a0.1/a0.7/AI-DS_Nexus__A0_7__aminran.ipynb @@ -0,0 +1,377 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "dbICYwLGo5Av" + }, + "source": [ + "# 🔥 Assignment: Exploring PyTorch\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "b8h5DExTo6K5" + }, + "source": [ + "## 🎯 Goal\n", + "This assignment evaluates your basic skills in using PyTorch, focusing on tensors, autograd, and a small training loop.\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "euolCT3oo8dR" + }, + "source": [ + "### 1️⃣ Setup and Basics\n", + "**Task:**\n", + "\n", + "* Install PyTorch and check its version.\n", + "\n", + "* Create a 2D tensor and print it." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "9AADPzP6o1iY", + "outputId": "ee45715f-ee3e-4b76-b4f9-e1daebce0a16" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "PyTorch version: 2.6.0+cu124\n", + "Tensor x:\n", + " tensor([[1., 2.],\n", + " [3., 4.]])\n" + ] + } + ], + "source": [ + "import torch\n", + "\n", + "print(\"PyTorch version:\", torch.__version__)\n", + "x = torch.tensor([[1., 2.], [3., 4.]])\n", + "print(\"Tensor x:\\n\", x)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "T5mCQMYFpBJm" + }, + "outputs": [], + "source": [ + "# Your turn:\n", + "# Create another tensor y of the same shape with values [[5, 6], [7, 8]].\n", + "y=torch.tensor([[5, 6], [7, 8]])\n", + "\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7yRBms7npEUe" + }, + "source": [ + "### 2️⃣ Tensor Operations 🧮\n", + "**Task:** Perform addition and matrix multiplication." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 245 + }, + "id": "nGRNryC4pDv2", + "outputId": "d248a8fe-20b4-4ed6-f846-611fbbd6ffc1" + }, + "outputs": [], + "source": [ + "z = x + y\n", + "print(\"Addition:\\n\", z)\n", + "\n", + "# Convert y to float to match x's dtype for matrix multiplication\n", + "y_float = y.float()\n", + "mat_mul = x @ y_float\n", + "print(\"Matrix Multiplication:\\n\", mat_mul)\n", + "\n", + "# Perform element-wise multiplication\n", + "element_wise_mul = x * y_float\n", + "print(\"Element-wise Multiplication:\\n\", element_wise_mul)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "tf64nP2dpIod", + "outputId": "668de396-ee58-4dfa-abcb-eb8ce7a92bb7" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Element-wise Multiplication:\n", + " tensor([[ 5., 12.],\n", + " [21., 32.]])\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Perform element-wise multiplication (x * y) and print the result.\n", + "result=x*y\n", + "print(\"Element-wise Multiplication:\\n\", result)\n", + "\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "h3dABundpMYU" + }, + "source": [ + "### 3️⃣ Autograd and Gradients ⚙️\n", + "**Task:** Enable gradient tracking and compute derivatives." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "igtPKY90pLGt", + "outputId": "c7e2881c-bfcc-4372-a7e9-b666f2547088" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Gradient of b wrt a: tensor(8.)\n" + ] + } + ], + "source": [ + "a = torch.tensor(3.0, requires_grad=True)\n", + "b = (a ** 2) + 2 * a + 1\n", + "b.backward()\n", + "print(\"Gradient of b wrt a:\", a.grad)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "bLceqHHvpOwt", + "outputId": "63955438-0a4c-4942-ec8f-9b54d1c6e34e" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "tensor(16., grad_fn=)" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Your turn:\n", + "# Create a tensor p with value 2.0 (requires_grad=True) and compute the gradient of q = p^3 + 4p.\n", + "p=torch.tensor(2.0, requires_grad=True)\n", + "q=p**3+4*p\n", + "q.backward()\n", + "print(\"Gradient of q wrt p:\", p.grad)\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "jytRN17EpVbM" + }, + "source": [ + "### 4️⃣ Random Tensors 🎲\n", + "**Task:** Generate a random tensor of shape (2, 3) and find its max and min." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "fb7fv-E_pS6e", + "outputId": "bccdb483-95c9-45d7-8552-f4f7e98d12cb" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Random Tensor:\n", + " tensor([[0.4823, 0.5779, 0.3458],\n", + " [0.5859, 0.4225, 0.0038]])\n", + "Max: tensor(0.5859)\n", + "Min: tensor(0.0038)\n" + ] + } + ], + "source": [ + "rand_tensor = torch.rand((2, 3))\n", + "print(\"Random Tensor:\\n\", rand_tensor)\n", + "print(\"Max:\", torch.max(rand_tensor))\n", + "print(\"Min:\", torch.min(rand_tensor))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "bhSClXespjvT" + }, + "source": [ + "### 5️⃣ Mini Training Loop 🤖\n", + "**Task:** Train a simple linear model y = wx + b using gradient descent." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "o7s2KMJVpZ5M", + "outputId": "9b34e6a6-da26-4142-eed3-eb53305eb68b" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Trained weight: 1.5857030153274536\n", + "Trained bias: 0.9417575597763062\n" + ] + } + ], + "source": [ + "# Data\n", + "x_train = torch.tensor([[1.0], [2.0], [3.0]])\n", + "y_train = torch.tensor([[2.0], [4.0], [6.0]])\n", + "\n", + "# Model\n", + "w = torch.randn(1, requires_grad=True)\n", + "b = torch.randn(1, requires_grad=True)\n", + "\n", + "# Training\n", + "learning_rate = 0.01\n", + "for epoch in range(100):\n", + " y_pred = w * x_train + b\n", + " loss = torch.mean((y_pred - y_train) ** 2)\n", + " loss.backward()\n", + "\n", + " # Update\n", + " with torch.no_grad():\n", + " w -= learning_rate * w.grad\n", + " b -= learning_rate * b.grad\n", + " w.grad.zero_()\n", + " b.grad.zero_()\n", + "\n", + "print(\"Trained weight:\", w.item())\n", + "print(\"Trained bias:\", b.item())\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "rGhFqtrVpv8_" + }, + "source": [ + "### 6️⃣ Bonus ⚡\n", + "* Convert a PyTorch tensor to a NumPy array.\n", + "\n", + "* Convert it back to a PyTorch tensor." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "AF4t92eDpq0j", + "outputId": "2e9a8472-6457-4a2d-9395-6c179133276a" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[1. 2.]\n", + " [3. 4.]]\n", + "tensor([[1., 2.],\n", + " [3., 4.]])\n" + ] + } + ], + "source": [ + "# To do\n", + "x=torch.tensor([[1., 2.], [3., 4.]])\n", + "y=x.numpy()\n", + "print(y)\n", + "z=torch.from_numpy(y)\n", + "print(z)\n", + "\n", + "\n", + "\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.7/AI-DS_Nexus__A0_7__rsayyareh.ipynb b/a0.1/a0.7/AI-DS_Nexus__A0_7__rsayyareh.ipynb new file mode 100644 index 0000000..05c362f --- /dev/null +++ b/a0.1/a0.7/AI-DS_Nexus__A0_7__rsayyareh.ipynb @@ -0,0 +1,388 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "dbICYwLGo5Av" + }, + "source": [ + "# 🔥 Assignment: Exploring PyTorch\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "b8h5DExTo6K5" + }, + "source": [ + "## 🎯 Goal\n", + "This assignment evaluates your basic skills in using PyTorch, focusing on tensors, autograd, and a small training loop.\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "euolCT3oo8dR" + }, + "source": [ + "### 1️⃣ Setup and Basics\n", + "**Task:**\n", + "\n", + "* Install PyTorch and check its version.\n", + "\n", + "* Create a 2D tensor and print it." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "id": "9AADPzP6o1iY" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "PyTorch version: 2.8.0+cpu\n", + "Tensor x:\n", + " tensor([[1., 2.],\n", + " [3., 4.]])\n" + ] + } + ], + "source": [ + "import torch\n", + "\n", + "print(\"PyTorch version:\", torch.__version__)\n", + "x = torch.tensor([[1., 2.], [3., 4.]])\n", + "print(\"Tensor x:\\n\", x)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "id": "T5mCQMYFpBJm" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Tensor y:\n", + " tensor([[5., 6.],\n", + " [7., 8.]])\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Create another tensor y of the same shape with values [[5, 6], [7, 8]].\n", + "y = torch.tensor([[5., 6.], [7., 8.]])\n", + "print(\"Tensor y:\\n\", y)\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7yRBms7npEUe" + }, + "source": [ + "### 2️⃣ Tensor Operations 🧮\n", + "**Task:** Perform addition and matrix multiplication." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "id": "nGRNryC4pDv2" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Addition:\n", + " tensor([[ 6., 8.],\n", + " [10., 12.]])\n", + "Matrix Multiplication:\n", + " tensor([[19., 22.],\n", + " [43., 50.]])\n" + ] + } + ], + "source": [ + "z = x + y\n", + "print(\"Addition:\\n\", z)\n", + "\n", + "mat_mul = x @ y\n", + "print(\"Matrix Multiplication:\\n\", mat_mul)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "id": "tf64nP2dpIod" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "tensor([[ 5., 12.],\n", + " [21., 32.]])\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Perform element-wise multiplication (x * y) and print the result.\n", + "dot_mul = x * y\n", + "print(dot_mul)\n", + "\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "h3dABundpMYU" + }, + "source": [ + "### 3️⃣ Autograd and Gradients ⚙️\n", + "**Task:** Enable gradient tracking and compute derivatives." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "igtPKY90pLGt" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "tensor(3., requires_grad=True)\n", + "Gradient of b wrt a: tensor(8.)\n" + ] + } + ], + "source": [ + "a = torch.tensor(3.0, requires_grad=True)\n", + "b = (a ** 2) + 2 * a + 1\n", + "b.backward()\n", + "print(\"Gradient of b wrt a:\", a.grad)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "bLceqHHvpOwt" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Gradient of q at p: tensor(16.)\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Create a tensor p with value 2.0 (requires_grad=True) and compute the gradient of q = p^3 + 4p.\n", + "p = torch.tensor(2.0, requires_grad=True)\n", + "q = p ** 3 + 4 * p\n", + "q.backward()\n", + "print(\"Gradient of q at p:\", p.grad)\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "jytRN17EpVbM" + }, + "source": [ + "### 4️⃣ Random Tensors 🎲\n", + "**Task:** Generate a random tensor of shape (2, 3) and find its max and min." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "id": "fb7fv-E_pS6e" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Random Tensor:\n", + " tensor([[0.9230, 0.3572, 0.7282],\n", + " [0.3952, 0.5441, 0.2520]])\n", + "Max: tensor(0.9230)\n", + "Min: tensor(0.2520)\n" + ] + } + ], + "source": [ + "rand_tensor = torch.rand((2, 3))\n", + "print(\"Random Tensor:\\n\", rand_tensor)\n", + "print(\"Max:\", torch.max(rand_tensor))\n", + "print(\"Min:\", torch.min(rand_tensor))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "bhSClXespjvT" + }, + "source": [ + "### 5️⃣ Mini Training Loop 🤖\n", + "**Task:** Train a simple linear model y = wx + b using gradient descent." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "o7s2KMJVpZ5M" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "tensor([[1.],\n", + " [2.],\n", + " [3.]])\n", + "tensor([[2.],\n", + " [4.],\n", + " [6.]])\n", + "tensor([-0.4748], requires_grad=True)\n", + "tensor(3., requires_grad=True)\n", + "tensor(107.8136, grad_fn=)\n", + "tensor(48.0209, grad_fn=)\n", + "Trained weight: 0.8197987079620361\n", + "Trained bias: -0.13070182502269745\n" + ] + } + ], + "source": [ + "# Data\n", + "x_train = torch.tensor([[1.0], [2.0], [3.0]])\n", + "y_train = torch.tensor([[2.0], [4.0], [6.0]])\n", + "\n", + "# Model\n", + "w = torch.randn(1, requires_grad=True)\n", + "b = torch.randn(1, requires_grad=True)\n", + "\n", + "# Training\n", + "learning_rate = 0.01\n", + "for epoch in range(2):\n", + " y_pred = w * x_train + b\n", + " loss = torch.sum((y_pred - y_train) ** 2)\n", + " print(loss)\n", + " loss.backward()\n", + "\n", + " # Update\n", + " with torch.no_grad():\n", + " w -= learning_rate * w.grad\n", + " b -= learning_rate * b.grad\n", + " w.grad.zero_()\n", + " b.grad.zero_()\n", + "\n", + "print(\"Trained weight:\", w.item())\n", + "print(\"Trained bias:\", b.item())\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "rGhFqtrVpv8_" + }, + "source": [ + "### 6️⃣ Bonus ⚡\n", + "* Convert a PyTorch tensor to a NumPy array.\n", + "\n", + "* Convert it back to a PyTorch tensor." + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "id": "AF4t92eDpq0j" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[1.]\n", + " [2.]\n", + " [3.]]\n", + "tensor([[1.],\n", + " [2.],\n", + " [3.]])\n" + ] + } + ], + "source": [ + "# To do\n", + "np_arr = x_train.numpy()\n", + "ts_arr = torch.from_numpy(np_arr)\n", + "\n", + "print(np_arr)\n", + "print(ts_arr)\n", + "\n", + "\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.7" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.7/AI_DS_Nexus__A0_7__MrAshki.ipynb.ipynb b/a0.1/a0.7/AI_DS_Nexus__A0_7__MrAshki.ipynb.ipynb new file mode 100644 index 0000000..3e907df --- /dev/null +++ b/a0.1/a0.7/AI_DS_Nexus__A0_7__MrAshki.ipynb.ipynb @@ -0,0 +1,436 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 🔥 Assignment: Exploring PyTorch\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n" + ], + "metadata": { + "id": "dbICYwLGo5Av" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 🎯 Goal\n", + "This assignment evaluates your basic skills in using PyTorch, focusing on tensors, autograd, and a small training loop.\n", + "\n" + ], + "metadata": { + "id": "b8h5DExTo6K5" + } + }, + { + "cell_type": "markdown", + "source": [ + "### 1️⃣ Setup and Basics\n", + "**Task:**\n", + "\n", + "* Install PyTorch and check its version.\n", + "\n", + "* Create a 2D tensor and print it." + ], + "metadata": { + "id": "euolCT3oo8dR" + } + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "9AADPzP6o1iY", + "outputId": "70162a36-93fb-48bc-c332-971c2d619e42", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "PyTorch version: 2.9.0+cpu\n", + "Tensor x:\n", + " tensor([[1., 2.],\n", + " [3., 4.]])\n" + ] + } + ], + "source": [ + "import torch\n", + "\n", + "print(\"PyTorch version:\", torch.__version__)\n", + "x = torch.tensor([[1., 2.], [3., 4.]])\n", + "print(\"Tensor x:\\n\", x)\n" + ] + }, + { + "cell_type": "code", + "source": [ + "# Your turn:\n", + "# Create another tensor y of the same shape with values [[5, 6], [7, 8]].\n", + "\n", + "y = torch.tensor([[5., 6.], [7., 8.]])\n", + "print(\"tensor y:\\n\", y)\n", + "\n" + ], + "metadata": { + "id": "T5mCQMYFpBJm", + "outputId": "eeb5d118-055f-4e51-eead-024df90899c7", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 7, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "tensor y:\n", + " tensor([[5., 6.],\n", + " [7., 8.]])\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 2️⃣ Tensor Operations 🧮\n", + "**Task:** Perform addition and matrix multiplication." + ], + "metadata": { + "id": "7yRBms7npEUe" + } + }, + { + "cell_type": "code", + "source": [ + "z = x + y\n", + "print(\"Addition:\\n\", z)\n", + "\n", + "mat_mul = x @ y\n", + "print(\"Matrix Multiplication:\\n\", mat_mul)\n" + ], + "metadata": { + "id": "nGRNryC4pDv2", + "outputId": "d12f0b3e-f9ba-4b3e-ae71-87339e7f0126", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 9, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Addition:\n", + " tensor([[ 6., 8.],\n", + " [10., 12.]])\n", + "Matrix Multiplication:\n", + " tensor([[19., 22.],\n", + " [43., 50.]])\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Your turn:\n", + "# Perform element-wise multiplication (x * y) and print the result.\n", + "\n", + "\n", + "Q = x * y\n", + "print(\"element-wise:\\n\" , Q)\n", + "\n" + ], + "metadata": { + "id": "tf64nP2dpIod", + "outputId": "4dfd34a5-e852-42ab-df08-409357381bac", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 8, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "element-wise:\n", + " tensor([[ 5., 12.],\n", + " [21., 32.]])\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 3️⃣ Autograd and Gradients ⚙️\n", + "**Task:** Enable gradient tracking and compute derivatives." + ], + "metadata": { + "id": "h3dABundpMYU" + } + }, + { + "cell_type": "code", + "source": [ + "a = torch.tensor(3.0, requires_grad=True)\n", + "b = (a ** 2) + 2 * a + 1\n", + "b.backward()\n", + "print(\"Gradient of b wrt a:\", a.grad)\n" + ], + "metadata": { + "id": "igtPKY90pLGt" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# Your turn:\n", + "# Create a tensor p with value 2.0 (requires_grad=True) and compute the gradient of q = p^3 + 4p.\n", + "\n", + "p = torch.tensor(2.0, requires_grad=True)\n", + "q = p **3 + 4*p\n", + "q.backward()\n", + "print(\"gradient of Q:\\n\", Q)\n", + "\n" + ], + "metadata": { + "id": "bLceqHHvpOwt", + "outputId": "243f092d-e03d-4ef7-91a1-701ef0e39ab7", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 12, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "gradient of Q:\n", + " tensor([[ 5., 12.],\n", + " [21., 32.]])\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 4️⃣ Random Tensors 🎲\n", + "**Task:** Generate a random tensor of shape (2, 3) and find its max and min." + ], + "metadata": { + "id": "jytRN17EpVbM" + } + }, + { + "cell_type": "code", + "source": [ + "rand_tensor = torch.rand((2, 3))\n", + "print(\"Random Tensor:\\n\", rand_tensor)\n", + "print(\"Max:\", torch.max(rand_tensor))\n", + "print(\"Min:\", torch.min(rand_tensor))\n" + ], + "metadata": { + "id": "fb7fv-E_pS6e", + "outputId": "6cc4c3e3-9b20-4223-9a75-b593578243a2", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 13, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Random Tensor:\n", + " tensor([[0.5648, 0.8316, 0.9398],\n", + " [0.8484, 0.9933, 0.7010]])\n", + "Max: tensor(0.9933)\n", + "Min: tensor(0.5648)\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 5️⃣ Mini Training Loop 🤖\n", + "**Task:** Train a simple linear model y = wx + b using gradient descent." + ], + "metadata": { + "id": "bhSClXespjvT" + } + }, + { + "cell_type": "code", + "source": [ + "# Data\n", + "torch.manual_seed(42)\n", + "x_train = torch.tensor([[1.0], [2.0], [3.0]])\n", + "y_train = torch.tensor([[2.0], [4.0], [6.0]])\n", + "\n", + "# Model\n", + "w = torch.randn(1, requires_grad=True)\n", + "b = torch.randn(1, requires_grad=True)\n", + "\n", + "# Training\n", + "learning_rate = 0.01\n", + "for epoch in range(100):\n", + " y_pred = w * x_train + b\n", + " loss = torch.mean((y_pred - y_train) ** 2)\n", + " loss.backward()\n", + "\n", + " # Update\n", + " with torch.no_grad():\n", + " w -= learning_rate * w.grad\n", + " b -= learning_rate * b.grad\n", + " w.grad.zero_()\n", + " b.grad.zero_()\n", + "\n", + "print(\"Trained weight:\", w.item())\n", + "print(\"Trained bias:\", b.item())\n" + ], + "metadata": { + "id": "o7s2KMJVpZ5M", + "outputId": "872cb35d-1dee-4408-8cc2-a727643704de", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 18, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Trained weight: 1.750671625137329\n", + "Trained bias: 0.5667532682418823\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 6️⃣ Bonus ⚡\n", + "* Convert a PyTorch tensor to a NumPy array.\n", + "\n", + "* Convert it back to a PyTorch tensor." + ], + "metadata": { + "id": "rGhFqtrVpv8_" + } + }, + { + "cell_type": "code", + "source": [ + "# To do\n", + "\n", + "import torch\n", + "import numpy as np\n", + "\n", + "a = torch.tensor([[1, 2, 3], [4, 5, 6]])\n", + "print(a)\n", + "\n", + "a = a.numpy()\n", + "\n", + "print(a)" + ], + "metadata": { + "id": "AF4t92eDpq0j", + "outputId": "c46e8e45-16af-41a4-a38b-d985ff998378", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 22, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "tensor([[1, 2, 3],\n", + " [4, 5, 6]])\n", + "[[1 2 3]\n", + " [4 5 6]]\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "torch.manual_seed(42)\n", + "tensor_a = torch.ones(5)\n", + "print(\"create a tensor of 1:\\n\",tensor_a)\n", + "\n", + "numpy_a = a.numpy()\n", + "print(\"convert tensor to numpy:\\n\" , numpy_a)\n", + "np.add(numpy_a, 1, out=numpy_a)\n", + "print(\"add +1 for test to np:\\n\", numpy_a)\n", + "\n", + "tensor_b = torch.tensor(numpy_a)\n", + "print(\"back to tensor:\\n\",tensor_b)\n" + ], + "metadata": { + "id": "LWhQ51Uv7ydi", + "outputId": "bcede973-5cb5-47ff-a448-2ac623f7bf3e", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 39, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "create a tensor of 1:\n", + " tensor([1., 1., 1., 1., 1.])\n", + "convert tensor to numpy:\n", + " [8. 8. 8. 8. 8.]\n", + "add +1 for test to np:\n", + " [9. 9. 9. 9. 9.]\n", + "back to tensor:\n", + " tensor([9., 9., 9., 9., 9.])\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.7/Copy of Assignment 07. PyTorch _ Nexus _ RezaShokrzad.ipynb b/a0.1/a0.7/Copy of Assignment 07. PyTorch _ Nexus _ RezaShokrzad.ipynb new file mode 100644 index 0000000..ddc4b4c --- /dev/null +++ b/a0.1/a0.7/Copy of Assignment 07. PyTorch _ Nexus _ RezaShokrzad.ipynb @@ -0,0 +1 @@ +{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[{"file_id":"1NfHQVtYubTz2HUf7uH8lOsCPY3ALP2-y","timestamp":1753780815007}]},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"markdown","source":["# 🔥 Assignment: Exploring PyTorch\n"],"metadata":{"id":"dbICYwLGo5Av"}},{"cell_type":"markdown","source":["## 🎯 Goal\n","This assignment evaluates your basic skills in using PyTorch, focusing on tensors, autograd, and a small training loop.\n","\n"],"metadata":{"id":"b8h5DExTo6K5"}},{"cell_type":"markdown","source":["### 1️⃣ Setup and Basics\n","**Task:**\n","\n","* Install PyTorch and check its version.\n","\n","* Create a 2D tensor and print it."],"metadata":{"id":"euolCT3oo8dR"}},{"cell_type":"code","execution_count":2,"metadata":{"id":"9AADPzP6o1iY","executionInfo":{"status":"ok","timestamp":1753770132937,"user_tz":-210,"elapsed":4521,"user":{"displayName":"danial jafariii","userId":"01847614921988899910"}},"outputId":"b8c11e5e-e1ab-40fb-e68a-ada2a2af4f05","colab":{"base_uri":"https://localhost:8080/"}},"outputs":[{"output_type":"stream","name":"stdout","text":["PyTorch version: 2.6.0+cu124\n","Tensor x:\n"," tensor([[1., 2.],\n"," [3., 4.]])\n"]}],"source":["import torch\n","\n","print(\"PyTorch version:\", torch.__version__)\n","x = torch.tensor([[1., 2.], [3., 4.]])\n","print(\"Tensor x:\\n\", x)\n"]},{"cell_type":"code","source":["# Your turn:\n","# Create another tensor y of the same shape with values [[5, 6], [7, 8]].\n","y = torch.tensor([[5 , 6],[7 , 8]])\n","print(\"Tensor y:\\n\" , y)\n","\n","\n","\n"],"metadata":{"id":"T5mCQMYFpBJm","executionInfo":{"status":"ok","timestamp":1753770398350,"user_tz":-210,"elapsed":425,"user":{"displayName":"danial jafariii","userId":"01847614921988899910"}},"outputId":"55e16ae0-084c-451f-df5e-9eee038fd8e1","colab":{"base_uri":"https://localhost:8080/"}},"execution_count":3,"outputs":[{"output_type":"stream","name":"stdout","text":["Tensor y:\n"," tensor([[5, 6],\n"," [7, 8]])\n"]}]},{"cell_type":"markdown","source":["### 2️⃣ Tensor Operations 🧮\n","**Task:** Perform addition and matrix multiplication."],"metadata":{"id":"7yRBms7npEUe"}},{"cell_type":"code","source":["z = x + y\n","\n","C = torch.matmul(z, x)#dot\n","\n","print(\"Matrix Multiplication:\\n\", C)\n"],"metadata":{"id":"nGRNryC4pDv2","executionInfo":{"status":"ok","timestamp":1753773185179,"user_tz":-210,"elapsed":368,"user":{"displayName":"danial jafariii","userId":"01847614921988899910"}},"outputId":"95173a63-03e9-44db-e408-ce331abfdcf3","colab":{"base_uri":"https://localhost:8080/"}},"execution_count":17,"outputs":[{"output_type":"stream","name":"stdout","text":["Matrix Multiplication:\n"," tensor([[30., 44.],\n"," [46., 68.]])\n"]}]},{"cell_type":"code","source":["# Your turn:\n","# Perform element-wise multiplication (x * y) and print the result.\n","elementwise_mul = x * y\n","print(\"Element-wise Multiplication:\\n\", elementwise_mul)\n","\n","#We can write other product , is now:\n","#>> Object-Oriented product : Chain Operations on both Metrix(ex:result = x.mul(y).add(z).sqrt())\n","elementwise_mul2 = x.mul(y)\n","print(\"Element-wise Multiplication:\\n\" , elementwise_mul2)\n","#>> The Function of product : Complex Operations on other Metrix(ex:def scale_tensor(tensor, scale):\n"," # return torch.mul(tensor, scale))\n","elementwise_mul3 = torch.mul(x , y)\n","print(\"Element-wise Multiplication:\\n\" , elementwise_mul3)"],"metadata":{"id":"tf64nP2dpIod","executionInfo":{"status":"ok","timestamp":1753772679124,"user_tz":-210,"elapsed":369,"user":{"displayName":"danial jafariii","userId":"01847614921988899910"}},"outputId":"e8f6a4aa-697c-4821-8c63-c9575bd3dfed","colab":{"base_uri":"https://localhost:8080/"}},"execution_count":9,"outputs":[{"output_type":"stream","name":"stdout","text":["Element-wise Multiplication:\n"," tensor([[ 5., 12.],\n"," [21., 32.]])\n","Element-wise Multiplication:\n"," tensor([[ 5., 12.],\n"," [21., 32.]])\n","Element-wise Multiplication:\n"," tensor([[ 5., 12.],\n"," [21., 32.]])\n"]}]},{"cell_type":"markdown","source":["### 3️⃣ Autograd and Gradients ⚙️\n","**Task:** Enable gradient tracking and compute derivatives."],"metadata":{"id":"h3dABundpMYU"}},{"cell_type":"code","source":["a = torch.tensor(3.0, requires_grad=True)\n","b = (a ** 2) + 2 * a + 1\n","b.backward()\n","print(\"Gradient of b wrt a:\", a.grad)"],"metadata":{"id":"igtPKY90pLGt","executionInfo":{"status":"ok","timestamp":1753774035824,"user_tz":-210,"elapsed":4,"user":{"displayName":"danial jafariii","userId":"01847614921988899910"}},"outputId":"b452c810-e029-4b4a-e8eb-1c0d8af8afcf","colab":{"base_uri":"https://localhost:8080/"}},"execution_count":21,"outputs":[{"output_type":"stream","name":"stdout","text":["Gradient of b wrt a: tensor(8.)\n","tensor(3., requires_grad=True)\n","tensor(16., grad_fn=)\n"]}]},{"cell_type":"code","source":["# Your turn:\n","# Create a tensor p with value 2.0 (requires_grad=True) and compute the gradient of q = p^3 + 4p.\n","\n","# Step 1: Create a tensor p with value 2.0 and enable gradient tracking\n","p = torch.tensor(2.0, requires_grad=True)\n","\n","# Step 2: Define the function q = p^3 + 4p\n","# This function will be used for automatic differentiation\n","q = p ** 3 + 4 * p\n","\n","# Step 3: Compute the gradient of q with respect to p\n","# This means we are calculating dq/dp\n","q.backward()\n","\n","# Step 4: Print the gradient value\n","# This should be dq/dp = 3*p^2 + 4 = 3*4 + 4 = 16.0 when p = 2\n","print(\"Gradient of q with respect to p:\", p.grad)\n","\n","\n","\n"],"metadata":{"id":"bLceqHHvpOwt","executionInfo":{"status":"ok","timestamp":1753774343343,"user_tz":-210,"elapsed":377,"user":{"displayName":"danial jafariii","userId":"01847614921988899910"}},"outputId":"40ba9e2f-12ec-44a5-a6dd-acce2be980c9","colab":{"base_uri":"https://localhost:8080/"}},"execution_count":22,"outputs":[{"output_type":"stream","name":"stdout","text":["Gradient of q with respect to p: tensor(16.)\n"]}]},{"cell_type":"markdown","source":["### 4️⃣ Random Tensors 🎲\n","**Task:** Generate a random tensor of shape (2, 3) and find its max and min."],"metadata":{"id":"jytRN17EpVbM"}},{"cell_type":"code","source":["# Create a random tensor of shape (2, 3) with values in range [0.0, 1.0)\n","rand_tensor = torch.rand((2, 3))\n","# Print the generated random tensor\n","print(\"Random Tensor:\\n\", rand_tensor)\n","# Find and print the maximum value in the tensor\n","print(\"Max:\", torch.max(rand_tensor))\n","# Find and print the minimum value in the tensor\n","print(\"Min:\", torch.min(rand_tensor))\n","\n","# Advanced Operations:\n","\n","print(\"Mean value:\", torch.mean(rand_tensor))\n","print(\"Std deviation:\", torch.std(rand_tensor))\n","print(\"Variance:\", torch.var(rand_tensor))\n","\n","#Max and min per row (dim=1)\n","\n","print(\"\\nMax per row:\", torch.max(rand_tensor, dim=1).values)\n","print(\"Min per row:\", torch.min(rand_tensor, dim=1).values)\n","\n","#Max and min per column (dim=0)\n","\n","print(\"\\nMax per column:\", torch.max(rand_tensor, dim=0).values)\n","print(\"Min per column:\", torch.min(rand_tensor, dim=0).values)\n","\n","#Index of max and min\n","\n","flat_max_index = torch.argmax(rand_tensor)\n","flat_min_index = torch.argmin(rand_tensor)\n","\n","print(\"\\nIndex of max value (flattened):\", flat_max_index.item())\n","print(\"Index of min value (flattened):\", flat_min_index.item())"],"metadata":{"id":"fb7fv-E_pS6e","executionInfo":{"status":"ok","timestamp":1753776198528,"user_tz":-210,"elapsed":391,"user":{"displayName":"danial jafariii","userId":"01847614921988899910"}},"outputId":"1397fab7-bd1f-4dfc-e493-7914c56130ee","colab":{"base_uri":"https://localhost:8080/"}},"execution_count":27,"outputs":[{"output_type":"stream","name":"stdout","text":["Random Tensor:\n"," tensor([[0.0848, 0.7395, 0.4060],\n"," [0.6347, 0.0163, 0.9611]])\n","Max: tensor(0.9611)\n","Min: tensor(0.0163)\n","Mean value: tensor(0.4737)\n","Std deviation: tensor(0.3739)\n","Variance: tensor(0.1398)\n","\n","Max per row: tensor([0.7395, 0.9611])\n","Min per row: tensor([0.0848, 0.0163])\n","\n","Max per column: tensor([0.6347, 0.7395, 0.9611])\n","Min per column: tensor([0.0848, 0.0163, 0.4060])\n","\n","Index of max value (flattened): 5\n","Index of min value (flattened): 4\n"]}]},{"cell_type":"markdown","source":["### 5️⃣ Mini Training Loop 🤖\n","**Task:** Train a simple linear model y = wx + b using gradient descent."],"metadata":{"id":"bhSClXespjvT"}},{"cell_type":"code","source":["# Data\n","x_train = torch.tensor([[1.0], [2.0], [3.0]])\n","y_train = torch.tensor([[2.0], [4.0], [6.0]])\n","\n","# Model\n","w = torch.randn(1, requires_grad=True)\n","b = torch.randn(1, requires_grad=True)\n","\n","# Training\n","learning_rate = 0.01\n","for epoch in range(100):\n"," y_pred = w * x_train + b\n"," loss = torch.mean((y_pred - y_train) ** 2)\n"," loss.backward()\n","\n"," # Update\n"," with torch.no_grad():\n"," w -= learning_rate * w.grad\n"," b -= learning_rate * b.grad\n"," w.grad.zero_()\n"," b.grad.zero_()\n","\n","print(\"Trained weight:\", w.item())\n","print(\"Trained bias:\", b.item())\n"],"metadata":{"id":"o7s2KMJVpZ5M","executionInfo":{"status":"ok","timestamp":1753780330523,"user_tz":-210,"elapsed":32,"user":{"displayName":"danial jafariii","userId":"01847614921988899910"}},"outputId":"b50e07c0-f867-4fcf-e99b-bff4655c49f9","colab":{"base_uri":"https://localhost:8080/"}},"execution_count":29,"outputs":[{"output_type":"stream","name":"stdout","text":["Trained weight: 1.5541613101959229\n","Trained bias: 1.013465404510498\n"]}]},{"cell_type":"markdown","source":["### 6️⃣ Bonus ⚡\n","* Convert a PyTorch tensor to a NumPy array.\n","\n","* Convert it back to a PyTorch tensor."],"metadata":{"id":"rGhFqtrVpv8_"}},{"cell_type":"code","source":["# To do\n","import numpy as np\n","\n","# Step 1: Create a PyTorch tensor\n","tensor = torch.tensor([[1.0, 2.0], [3.0, 4.0]])\n","print(\"Original PyTorch Tensor:\\n\", tensor)\n","\n","# Step 2: Convert it to a NumPy array\n","np_array = tensor.numpy()\n","print(\"Converted to NumPy Array:\\n\", np_array)\n","\n","# Step 3: Convert it back to a PyTorch tensor\n","converted_back = torch.from_numpy(np_array)\n","print(\"Converted back to PyTorch Tensor:\\n\", converted_back)"],"metadata":{"id":"AF4t92eDpq0j","executionInfo":{"status":"ok","timestamp":1753780809003,"user_tz":-210,"elapsed":21,"user":{"displayName":"danial jafariii","userId":"01847614921988899910"}},"outputId":"0e7d879d-9513-4f33-c660-ed4215b49f9a","colab":{"base_uri":"https://localhost:8080/"}},"execution_count":30,"outputs":[{"output_type":"stream","name":"stdout","text":["Original PyTorch Tensor:\n"," tensor([[1., 2.],\n"," [3., 4.]])\n","Converted to NumPy Array:\n"," [[1. 2.]\n"," [3. 4.]]\n","Converted back to PyTorch Tensor:\n"," tensor([[1., 2.],\n"," [3., 4.]])\n"]}]}]} \ No newline at end of file diff --git a/a0.1/a0.8/AI-DS_Nexus__A0_8_Amirhossein_Zandi_8fca80.ipynb b/a0.1/a0.8/AI-DS_Nexus__A0_8_Amirhossein_Zandi_8fca80.ipynb new file mode 100644 index 0000000..4d43ca8 --- /dev/null +++ b/a0.1/a0.8/AI-DS_Nexus__A0_8_Amirhossein_Zandi_8fca80.ipynb @@ -0,0 +1,456 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "zfpFVd8WVI8J" + }, + "source": [ + "# 1️⃣ Setup and Basics\n", + "Task:\n", + "\n", + "Install TensorFlow and verify the version.\n", + "Create a simple tensor and print it." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "oFHysHkCVPDa", + "outputId": "5710f68b-0f35-4650-912d-e4948a647f01" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Tensorflow version : 2.18.0\n", + "Tensor a : \n", + "[[1 2]\n", + " [3 4]]\n" + ] + } + ], + "source": [ + "import tensorflow as tf\n", + "\n", + "print(f\"Tensorflow version : {tf.__version__}\")\n", + "a = tf.constant([[1,2] , [3,4]])\n", + "print(f\"Tensor a : \\n{a}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "ZDaw6uQBWPC1", + "outputId": "f4b9b6c9-f9a7-4b68-dddd-2c1e9b6da7b4" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Tensor b : \n", + " [[5 6]\n", + " [7 8]]\n", + "--------------------\n", + "b shape : (2, 2)\n" + ] + } + ], + "source": [ + "b = tf.constant([[5,6] , [7,8]])\n", + "print(f\"Tensor b : \\n {b}\")\n", + "print(\"--------------------\")\n", + "print(f\"b shape : {b.shape}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "1uzTNX74Wb28" + }, + "source": [ + "# 2️⃣ Tensor Operations\n", + "Task: Perform element-wise addition and multiplication." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "s37pvQ4yWew9", + "outputId": "13c12b58-3b54-4596-d5c9-2baf6dcce821" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Addition:\n", + " tf.Tensor(\n", + "[[ 6 8]\n", + " [10 12]], shape=(2, 2), dtype=int32)\n", + "Multiplication:\n", + " tf.Tensor(\n", + "[[ 5 12]\n", + " [21 32]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "c = a + b\n", + "print(\"Addition:\\n\", c)\n", + "\n", + "d = a * b\n", + "print(\"Multiplication:\\n\", d)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "yiSF0ng0WkSh", + "outputId": "fef2eed9-cf03-4a4c-a242-58b3c59b7278" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Multiplication:\n", + " tf.Tensor(\n", + "[[19 22]\n", + " [43 50]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "multiplication = a @ b\n", + "print(\"Multiplication:\\n\", multiplication)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ktfo8ANgXmpG" + }, + "source": [ + "# 3️⃣ Random Tensors 🎲\n", + "Task: Generate a random tensor of shape (3, 3) from a normal distribution and print its mean and standard deviation." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "VytA8UuwXsMK", + "outputId": "cbc47bc6-fa4c-4ee9-e818-f3c91b3d0e74" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Random Tensor:\n", + " tf.Tensor(\n", + "[[ 0.5897852 -0.45510045 0.13046674]\n", + " [-0.57042843 1.2452071 0.38936564]\n", + " [-0.18235067 -1.5178325 0.63837725]], shape=(3, 3), dtype=float32)\n", + "Mean: tf.Tensor(0.029721094, shape=(), dtype=float32)\n", + "Std Dev: tf.Tensor(0.77000445, shape=(), dtype=float32)\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "random_tensor = tf.random.normal([3, 3])\n", + "print(\"Random Tensor:\\n\", random_tensor)\n", + "print(\"Mean:\", tf.reduce_mean(random_tensor))\n", + "print(\"Std Dev:\", tf.math.reduce_std(random_tensor))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u2CoxtN0YFt0" + }, + "source": [ + "# 4️⃣ Building a Simple Model 🤖\n", + "Task: Build a single-layer neural network using tf.keras.Sequential." + ] + }, + { + "cell_type": "code", + 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    +              "┃ Layer (type)                     Output Shape                  Param # ┃\n",
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    +              "┃ Layer (type)                     Output Shape                  Param # ┃\n",
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1 2 3 4]\n", + " [5 6 7 8 9]]\n", + "-----------------------------\n", + "shape of reshaped Tensor : (2, 5)\n" + ] + } + ], + "source": [ + "my_tensor = tf.range(10)\n", + "reshaped_tensor = tf.reshape(my_tensor ,(2,5))\n", + "print(f\"reshaped Tensor : \\n {reshaped_tensor}\")\n", + "print(\"-----------------------------\")\n", + "print(f\"shape of reshaped Tensor : {reshaped_tensor.shape}\")" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "name": "python", + "version": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.8/AI-DS_Nexus__A0_8_Javid_Mohammadi_a60d6f.ipynb b/a0.1/a0.8/AI-DS_Nexus__A0_8_Javid_Mohammadi_a60d6f.ipynb new file mode 100644 index 0000000..d80de4b --- /dev/null +++ b/a0.1/a0.8/AI-DS_Nexus__A0_8_Javid_Mohammadi_a60d6f.ipynb @@ -0,0 +1,479 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 🧠 Assignment: Getting Started with TensorFlow\n" + ], + "metadata": { + "id": "WKCsWe71mbTO" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 🎯 Goal\n", + "This assignment evaluates your basic skills in using TensorFlow, including creating tensors, performing operations, and building a simple model.\n", + "\n", + "### 1️⃣ Setup and Basics\n", + "**Task:**\n", + "\n", + "* Install TensorFlow and verify the version.\n", + "* Create a simple tensor and print it." + ], + "metadata": { + "id": "ODPYXweVmdKp" + } + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "LrzxFPr3mPno", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "55bc5917-ce91-4512-f5cc-738b184756e6" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "TensorFlow version: 2.18.0\n", + "Tensor a:\n", + " tf.Tensor(\n", + "[[1 2]\n", + " [3 4]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "import tensorflow as tf\n", + "\n", + "print(\"TensorFlow version:\", tf.__version__)\n", + "a = tf.constant([[1, 2], [3, 4]])\n", + "print(\"Tensor a:\\n\", a)\n" + ] + }, + { + "cell_type": "code", + "source": [ + "# Your turn:\n", + "# Create a tensor b with values [[5, 6], [7, 8]] and print its shape.\n", + "b = tf.constant([[5, 6], [7, 8]])\n", + "print(\"Tensor b shape:\\n\", b.shape)\n", + "\n" + ], + "metadata": { + "id": "MSC0WPwymq3V", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "4f2db6fc-299b-43c6-f860-2d7cf8f11186" + }, + "execution_count": 2, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Tensor b shape:\n", + " (2, 2)\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 2️⃣ Tensor Operations\n", + "**Task:** Perform element-wise addition and multiplication." + ], + "metadata": { + "id": "b4cuWXJvmwdC" + } + }, + { + "cell_type": "code", + "source": [ + "# Example snippet\n", + "c = a + b\n", + "print(\"Addition:\\n\", c)\n", + "\n", + "d = a * b\n", + "print(\"Multiplication:\\n\", d)\n" + ], + "metadata": { + "id": "pzlGeEuhmtYo", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "3f52bf8b-d5cf-4b93-81b9-3e1110bab8f3" + }, + "execution_count": 3, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Addition:\n", + " tf.Tensor(\n", + "[[ 6 8]\n", + " [10 12]], shape=(2, 2), dtype=int32)\n", + "Multiplication:\n", + " tf.Tensor(\n", + "[[ 5 12]\n", + " [21 32]], shape=(2, 2), dtype=int32)\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Your turn:\n", + "# Compute a @ b (matrix multiplication) and print the result.\n", + "dot = a @ b\n", + "print(\"Matrix inner multiplication:\\n\", dot)\n" + ], + "metadata": { + "id": "zv02rBVZmzPR", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "75ea33f3-d64b-41e3-d996-c74a355828a1" + }, + "execution_count": 4, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Matrix inner multiplication:\n", + " tf.Tensor(\n", + "[[19 22]\n", + " [43 50]], shape=(2, 2), dtype=int32)\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 3️⃣ Random Tensors 🎲\n", + "**Task:** Generate a random tensor of shape (3, 3) from a normal distribution and print its mean and standard deviation." + ], + "metadata": { + "id": "CbDULpk7m3c2" + } + }, + { + "cell_type": "code", + "source": [ + "# Example snippet\n", + "random_tensor = tf.random.normal([3, 3])\n", + "print(\"Random Tensor:\\n\", random_tensor)\n", + "print(\"Mean:\", tf.reduce_mean(random_tensor))\n", + "print(\"Std Dev:\", tf.math.reduce_std(random_tensor))\n" + ], + "metadata": { + "id": "Czc74X8Nm2Oa", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "70e97227-1882-49db-af7a-79cb6b652527" + }, + "execution_count": 5, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Random Tensor:\n", + " tf.Tensor(\n", + "[[-0.8566601 -1.49599 -1.103244 ]\n", + " [ 0.825052 -1.4882199 1.3307469 ]\n", + " [ 0.23964775 0.85605454 1.2652878 ]], shape=(3, 3), dtype=float32)\n", + "Mean: tf.Tensor(-0.04748057, shape=(), dtype=float32)\n", + "Std Dev: tf.Tensor(1.1168567, shape=(), dtype=float32)\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 4️⃣ Building a Simple Model 🤖\n", + "**Task:** Build a single-layer neural network using tf.keras.Sequential." + ], + "metadata": { + "id": "wVH1vcq3nDgV" + } + }, + { + "cell_type": "code", + "source": [ + "# Example snippet\n", + "model = tf.keras.Sequential([\n", + " tf.keras.layers.Dense(1, input_shape=(1,))\n", + "])\n", + "model.summary()\n" + ], + "metadata": { + "id": "9G2Jw8VSnC6f", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 219 + }, + "outputId": "465339fe-d039-4cee-d31c-5b5c68b2c190" + }, + "execution_count": 6, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.11/dist-packages/keras/src/layers/core/dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.\n", + " super().__init__(activity_regularizer=activity_regularizer, **kwargs)\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\u001b[1mModel: \"sequential\"\u001b[0m\n" + ], + "text/html": [ + "
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    +              "┃ Layer (type)                     Output Shape                  Param # ┃\n",
    +              "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩\n",
    +              "│ dense (Dense)                   │ (None, 1)              │             2 │\n",
    +              "└─────────────────────────────────┴────────────────────────┴───────────────┘\n",
    +              "
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    +              "┃ Layer (type)                     Output Shape                  Param # ┃\n",
    +              "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩\n",
    +              "│ dense_1 (Dense)                 │ (None, 5)              │            10 │\n",
    +              "├─────────────────────────────────┼────────────────────────┼───────────────┤\n",
    +              "│ dense_2 (Dense)                 │ (None, 1)              │             6 │\n",
    +              "└─────────────────────────────────┴────────────────────────┴───────────────┘\n",
    +              "
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    +              "
    \n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 5️⃣ Bonus ⚡\n", + "* Create a tensor with values from 0 to 9 (inclusive).\n", + "\n", + "* Reshape it to shape (2, 5).\n", + "\n", + "* Print the reshaped tensor." + ], + "metadata": { + "id": "GpOxR_RFnMt_" + } + }, + { + "cell_type": "code", + "source": [ + "# To do\n", + "tensor = tf.range(0, 10)\n", + "reshaped = tf.reshape(tensor, (2, 5))\n", + "print(\"Reshaped tensor:\\n\", reshaped)\n" + ], + "metadata": { + "id": "caRjq7WinMLf", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "449fb24f-c430-4238-efd6-416f618184bf" + }, + "execution_count": 10, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Reshaped tensor:\n", + " tf.Tensor(\n", + "[[0 1 2 3 4]\n", + " [5 6 7 8 9]], shape=(2, 5), dtype=int32)\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.8/AI-DS_Nexus__A0_8_Project__RezaShokr.ipynb b/a0.1/a0.8/AI-DS_Nexus__A0_8_Project__RezaShokr.ipynb new file mode 100644 index 0000000..091c665 --- /dev/null +++ b/a0.1/a0.8/AI-DS_Nexus__A0_8_Project__RezaShokr.ipynb @@ -0,0 +1,373 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "WKCsWe71mbTO" + }, + "source": [ + "# 🧠 Assignment: Getting Started with TensorFlow\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ODPYXweVmdKp" + }, + "source": [ + "## 🎯 Goal\n", + "This assignment evaluates your basic skills in using TensorFlow, including creating tensors, performing operations, and building a simple model.\n", + "\n", + "### 1️⃣ Setup and Basics\n", + "**Task:**\n", + "\n", + "* Install TensorFlow and verify the version.\n", + "* Create a simple tensor and print it." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import tensorflow as tf" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "LrzxFPr3mPno" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "TensorFlow version: 2.19.0\n", + "Tensor a:\n", + " tf.Tensor(\n", + "[[1 2]\n", + " [3 4]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "import tensorflow as tf\n", + "\n", + "print(\"TensorFlow version:\", tf.__version__)\n", + "a = tf.constant([[1, 2], [3, 4]])\n", + "print(\"Tensor a:\\n\", a)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "MSC0WPwymq3V" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Tensor a:\n", + " tf.Tensor(\n", + "[[5 6]\n", + " [7 8]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Create a tensor b with values [[5, 6], [7, 8]] and print its shape.\n", + "b = tf.constant([[5, 6], [7, 8]])\n", + "print(\"Tensor a:\\n\", b)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "b4cuWXJvmwdC" + }, + "source": [ + "### 2️⃣ Tensor Operations\n", + "**Task:** Perform element-wise addition and multiplication." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "pzlGeEuhmtYo" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Addition:\n", + " tf.Tensor(\n", + "[[ 6 8]\n", + " [10 12]], shape=(2, 2), dtype=int32)\n", + "Multiplication:\n", + " tf.Tensor(\n", + "[[ 5 12]\n", + " [21 32]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "c = a + b\n", + "print(\"Addition:\\n\", c)\n", + "\n", + "d = a * b\n", + "print(\"Multiplication:\\n\", d)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "zv02rBVZmzPR" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "matrix multiplication: \n", + " tf.Tensor(\n", + "[[19 22]\n", + " [43 50]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Compute a @ b (matrix multiplication) and print the result.\n", + "e = a @ b\n", + "print(\"matrix multiplication: \\n\" , e)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "CbDULpk7m3c2" + }, + "source": [ + "### 3️⃣ Random Tensors 🎲\n", + "**Task:** Generate a random tensor of shape (3, 3) from a normal distribution and print its mean and standard deviation." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "id": "Czc74X8Nm2Oa" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Random Tensor:\n", + " tf.Tensor(\n", + "[[ 2.4778519 1.091282 -1.2910949 ]\n", + " [ 1.723791 0.13134924 0.892447 ]\n", + " [ 0.0541843 -0.05278427 -0.22317024]], shape=(3, 3), dtype=float32)\n", + "Mean: tf.Tensor(0.53376174, shape=(), dtype=float32)\n", + "Std Dev: tf.Tensor(1.068444, shape=(), dtype=float32)\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "random_tensor = tf.random.normal([3, 3])\n", + "print(\"Random Tensor:\\n\", random_tensor)\n", + "print(\"Mean:\", tf.reduce_mean(random_tensor))\n", + "print(\"Std Dev:\", tf.math.reduce_std(random_tensor))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wVH1vcq3nDgV" + }, + "source": [ + "### 4️⃣ Building a Simple Model 🤖\n", + "**Task:** Build a single-layer neural network using tf.keras.Sequential." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "id": "9G2Jw8VSnC6f" + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "c:\\Users\\Magellan\\miniconda3\\envs\\DsAi\\Lib\\site-packages\\keras\\src\\layers\\core\\dense.py:92: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.\n", + " super().__init__(activity_regularizer=activity_regularizer, **kwargs)\n" + ] + }, + { + "data": { + "text/html": [ + "
    Model: \"sequential\"\n",
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    \n" + ], + "text/plain": [ + "\u001b[1mModel: \"sequential\"\u001b[0m\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
    ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┓\n",
    +              "┃ Layer (type)                     Output Shape                  Param # ┃\n",
    +              "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩\n",
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"source": [ + "# To do\n", + "\n", + "\n", + "\n", + "\n", + "\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "DsAi", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.8/AI-DS_Nexus__A0_8_Project_roohi_268383.ipynb b/a0.1/a0.8/AI-DS_Nexus__A0_8_Project_roohi_268383.ipynb new file mode 100644 index 0000000..091c665 --- /dev/null +++ b/a0.1/a0.8/AI-DS_Nexus__A0_8_Project_roohi_268383.ipynb @@ -0,0 +1,373 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "WKCsWe71mbTO" + }, + "source": [ + "# 🧠 Assignment: Getting Started with TensorFlow\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ODPYXweVmdKp" + }, + "source": [ + "## 🎯 Goal\n", + "This assignment evaluates your basic skills in using TensorFlow, including creating tensors, performing operations, and building a simple model.\n", + "\n", + "### 1️⃣ Setup and Basics\n", + "**Task:**\n", + "\n", + "* Install TensorFlow and verify the version.\n", + "* Create a simple tensor and print it." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import tensorflow as tf" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "LrzxFPr3mPno" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "TensorFlow version: 2.19.0\n", + "Tensor a:\n", + " tf.Tensor(\n", + "[[1 2]\n", + " [3 4]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "import tensorflow as tf\n", + "\n", + "print(\"TensorFlow version:\", tf.__version__)\n", + "a = tf.constant([[1, 2], [3, 4]])\n", + "print(\"Tensor a:\\n\", a)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "MSC0WPwymq3V" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Tensor a:\n", + " tf.Tensor(\n", + "[[5 6]\n", + " [7 8]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Create a tensor b with values [[5, 6], [7, 8]] and print its shape.\n", + "b = tf.constant([[5, 6], [7, 8]])\n", + "print(\"Tensor a:\\n\", b)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "b4cuWXJvmwdC" + }, + "source": [ + "### 2️⃣ Tensor Operations\n", + "**Task:** Perform element-wise addition and multiplication." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "pzlGeEuhmtYo" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Addition:\n", + " tf.Tensor(\n", + "[[ 6 8]\n", + " [10 12]], shape=(2, 2), dtype=int32)\n", + "Multiplication:\n", + " tf.Tensor(\n", + "[[ 5 12]\n", + " [21 32]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "c = a + b\n", + "print(\"Addition:\\n\", c)\n", + "\n", + "d = a * b\n", + "print(\"Multiplication:\\n\", d)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "zv02rBVZmzPR" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "matrix multiplication: \n", + " tf.Tensor(\n", + "[[19 22]\n", + " [43 50]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Compute a @ b (matrix multiplication) and print the result.\n", + "e = a @ b\n", + "print(\"matrix multiplication: \\n\" , e)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "CbDULpk7m3c2" + }, + "source": [ + "### 3️⃣ Random Tensors 🎲\n", + "**Task:** Generate a random tensor of shape (3, 3) from a normal distribution and print its mean and standard deviation." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "id": "Czc74X8Nm2Oa" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Random Tensor:\n", + " tf.Tensor(\n", + "[[ 2.4778519 1.091282 -1.2910949 ]\n", + " [ 1.723791 0.13134924 0.892447 ]\n", + " [ 0.0541843 -0.05278427 -0.22317024]], shape=(3, 3), dtype=float32)\n", + "Mean: tf.Tensor(0.53376174, shape=(), dtype=float32)\n", + "Std Dev: tf.Tensor(1.068444, shape=(), dtype=float32)\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "random_tensor = tf.random.normal([3, 3])\n", + "print(\"Random Tensor:\\n\", random_tensor)\n", + "print(\"Mean:\", tf.reduce_mean(random_tensor))\n", + "print(\"Std Dev:\", tf.math.reduce_std(random_tensor))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wVH1vcq3nDgV" + }, + "source": [ + "### 4️⃣ Building a Simple Model 🤖\n", + "**Task:** Build a single-layer neural network using tf.keras.Sequential." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "id": "9G2Jw8VSnC6f" + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "c:\\Users\\Magellan\\miniconda3\\envs\\DsAi\\Lib\\site-packages\\keras\\src\\layers\\core\\dense.py:92: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.\n", + " super().__init__(activity_regularizer=activity_regularizer, **kwargs)\n" + ] + }, + { + "data": { + "text/html": [ + "
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    +              "┃ Layer (type)                     Output Shape                  Param # ┃\n",
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    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n" + ], + "metadata": { + "id": "WKCsWe71mbTO" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 🎯 Goal\n", + "This assignment evaluates your basic skills in using TensorFlow, including creating tensors, performing operations, and building a simple model.\n", + "\n", + "### 1️⃣ Setup and Basics\n", + "**Task:**\n", + "\n", + "* Install TensorFlow and verify the version.\n", + "* Create a simple tensor and print it." + ], + "metadata": { + "id": "ODPYXweVmdKp" + } + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "LrzxFPr3mPno", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "d238af19-b34c-4a1a-babd-52d18e7eb56c" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "TensorFlow version: 2.19.0\n", + "Tensor a:\n", + " tf.Tensor(\n", + "[[1 2]\n", + " [3 4]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "import tensorflow as tf\n", + "\n", + "print(\"TensorFlow version:\", tf.__version__)\n", + "a = tf.constant([[1, 2], [3, 4]])\n", + "print(\"Tensor a:\\n\", a)\n" + ] + }, + { + "cell_type": "code", + "source": [ + "# Your turn:\n", + "# Create a tensor b with values [[5, 6], [7, 8]] and print its shape.\n", + "\n", + "import tensorflow as tf\n", + "print(\"tensorflow version:\\n\", tf.__version__)\n", + "\n", + "b = tf.constant([[5, 6],[7, 8]])\n", + "print(\"tensor b:\\n\", b)" + ], + "metadata": { + "id": "MSC0WPwymq3V", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "36449e6f-4e34-437f-fe38-0a1d88df69e5" + }, + "execution_count": 5, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "tensorflow version:\n", + " 2.19.0\n", + "tensor b:\n", + " tf.Tensor(\n", + "[[5 6]\n", + " [7 8]], shape=(2, 2), dtype=int32)\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 2️⃣ Tensor Operations\n", + "**Task:** Perform element-wise addition and multiplication." + ], + "metadata": { + "id": "b4cuWXJvmwdC" + } + }, + { + "cell_type": "code", + "source": [ + "# Example snippet\n", + "c = a + b\n", + "print(\"Addition:\\n\", c)\n", + "\n", + "d = a * b\n", + "print(\"Multiplication:\\n\", d)\n" + ], + "metadata": { + "id": "pzlGeEuhmtYo" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# Your turn:\n", + "# Compute a @ b (matrix multiplication) and print the result.\n", + "\n", + "\n", + "e = a @ b\n", + "print(\"matrix mutliplication:\\n\", e)\n", + "\n", + "f = tf.matmul(a, b)\n", + "print(\"anoter way to matrix mutliplication:\\n\", f)\n" + ], + "metadata": { + "id": "zv02rBVZmzPR", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "525b54bd-0109-44d0-e714-06e01b40006a" + }, + "execution_count": 7, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "matrix mutliplication:\n", + " tf.Tensor(\n", + "[[19 22]\n", + " [43 50]], shape=(2, 2), dtype=int32)\n", + "anoter way to matrix mutliplication:\n", + " tf.Tensor(\n", + "[[19 22]\n", + " [43 50]], shape=(2, 2), dtype=int32)\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 3️⃣ Random Tensors 🎲\n", + "**Task:** Generate a random tensor of shape (3, 3) from a normal distribution and print its mean and standard deviation." + ], + "metadata": { + "id": "CbDULpk7m3c2" + } + }, + { + "cell_type": "code", + "source": [ + "# Example snippet\n", + "random_tensor = tf.random.normal([3, 3])\n", + "print(\"Random Tensor:\\n\", random_tensor)\n", + "print(\"Mean:\", tf.reduce_mean(random_tensor))\n", + "print(\"Std Dev:\", tf.math.reduce_std(random_tensor))\n" + ], + "metadata": { + "id": "Czc74X8Nm2Oa", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "f0a5e1d8-2d89-4754-bd54-be0618fc6f72" + }, + "execution_count": 12, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Random Tensor:\n", + " tf.Tensor(\n", + "[[ 0.4567332 -0.68118 0.2229847 ]\n", + " [-1.552968 -1.143649 2.6244414 ]\n", + " [ 0.11049031 -1.9354885 -1.0422286 ]], shape=(3, 3), dtype=float32)\n", + "Mean: tf.Tensor(-0.32676274, shape=(), dtype=float32)\n", + "Std Dev: tf.Tensor(1.3001397, shape=(), dtype=float32)\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 4️⃣ Building a Simple Model 🤖\n", + "**Task:** Build a single-layer neural network using tf.keras.Sequential." + ], + "metadata": { + "id": "wVH1vcq3nDgV" + } + }, + { + "cell_type": "code", + "source": [ + "# Example snippet\n", + "model = tf.keras.Sequential([\n", + " tf.keras.layers.Dense(1, input_shape=(1,))\n", + "])\n", + "model.summary()\n" + ], + "metadata": { + "id": "9G2Jw8VSnC6f", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 216 + }, + "outputId": "75def919-cc36-45d7-d812-291954b6db99" + }, + "execution_count": 13, + "outputs": [ 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When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.\n", + " super().__init__(activity_regularizer=activity_regularizer, **kwargs)\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\u001b[1mModel: \"sequential\"\u001b[0m\n" + ], + "text/html": [ + "
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    ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┓\n",
    +              "┃ Layer (type)                     Output Shape                  Param # ┃\n",
    +              "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩\n",
    +              "│ dense (Dense)                   │ (None, 1)              │             2 │\n",
    +              "└─────────────────────────────────┴────────────────────────┴───────────────┘\n",
    +              "
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    ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┓\n",
    +              "┃ Layer (type)                     Output Shape                  Param # ┃\n",
    +              "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩\n",
    +              "│ dense_1 (Dense)                 │ (None, 5)              │            10 │\n",
    +              "├─────────────────────────────────┼────────────────────────┼───────────────┤\n",
    +              "│ dense_2 (Dense)                 │ (None, 1)              │             6 │\n",
    +              "└─────────────────────────────────┴────────────────────────┴───────────────┘\n",
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    \n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 5️⃣ Bonus ⚡\n", + "* Create a tensor with values from 0 to 9 (inclusive).\n", + "\n", + "* Reshape it to shape (2, 5).\n", + "\n", + "* Pint the reshaped tensor." + ], + "metadata": { + "id": "GpOxR_RFnMt_" + } + }, + { + "cell_type": "code", + "source": [ + "# To do\n", + "\n", + "\n", + "\n", + "my_tensor = tf.range(10)\n", + "print(\"tensor a:\\n\", a)\n", + "\n", + "reshaped_tensor = tf.reshape(my_tensor, shape=(2, 5))\n", + "print(\"reshaped tensor:\\n\", reshaped_tensor.numpy())\n", + "\n", + "\n" + ], + "metadata": { + "id": "caRjq7WinMLf", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "45425f7a-d8a7-459e-fdd3-c48870a23c08" + }, + "execution_count": 24, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "tensor a:\n", + " tf.Tensor([0 1 2 3 4 5 6 7 8 9], shape=(10,), dtype=int32)\n", + "reshaped tensor:\n", + " [[0 1 2 3 4]\n", + " [5 6 7 8 9]]\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.8/AI-DS_Nexus__A0_8__aminran.ipynb b/a0.1/a0.8/AI-DS_Nexus__A0_8__aminran.ipynb new file mode 100644 index 0000000..b5cf183 --- /dev/null +++ b/a0.1/a0.8/AI-DS_Nexus__A0_8__aminran.ipynb @@ -0,0 +1,484 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 🧠 Assignment: Getting Started with TensorFlow\n" + ], + "metadata": { + "id": "WKCsWe71mbTO" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 🎯 Goal\n", + "This assignment evaluates your basic skills in using TensorFlow, including creating tensors, performing operations, and building a simple model.\n", + "\n", + "### 1️⃣ Setup and Basics\n", + "**Task:**\n", + "\n", + "* Install TensorFlow and verify the version.\n", + "* Create a simple tensor and print it." + ], + "metadata": { + "id": "ODPYXweVmdKp" + } + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "LrzxFPr3mPno", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "211a3b3d-064a-4db4-da6f-0cfbe5073e27" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "TensorFlow version: 2.18.0\n", + "Tensor a:\n", + " tf.Tensor(\n", + "[[1 2]\n", + " [3 4]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "import tensorflow as tf\n", + "\n", + "print(\"TensorFlow version:\", tf.__version__)\n", + "a = tf.constant([[1, 2], [3, 4]])\n", + "print(\"Tensor a:\\n\", a)\n" + ] + }, + { + "cell_type": "code", + "source": [ + "# Your turn:\n", + "# Create a tensor b with values [[5, 6], [7, 8]] and print its shape.\n", + "b=tf.constant([[5,6],[7,8]])\n", + "print(b)\n", + "print(b.shape)\n", + "\n" + ], + "metadata": { + "id": "MSC0WPwymq3V", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "4d924394-7bc6-4610-b749-66e4e8ad216b" + }, + "execution_count": 2, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "tf.Tensor(\n", + "[[5 6]\n", + " [7 8]], shape=(2, 2), dtype=int32)\n", + "(2, 2)\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 2️⃣ Tensor Operations\n", + "**Task:** Perform element-wise addition and multiplication." + ], + "metadata": { + "id": "b4cuWXJvmwdC" + } + }, + { + "cell_type": "code", + "source": [ + "# Example snippet\n", + "c = a + b\n", + "print(\"Addition:\\n\", c)\n", + "\n", + "d = a * b\n", + "print(\"Multiplication:\\n\", d)\n" + ], + "metadata": { + "id": "pzlGeEuhmtYo", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "beaed376-9a2f-4e38-c8d0-addb9042f3de" + }, + "execution_count": 3, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Addition:\n", + " tf.Tensor(\n", + "[[ 6 8]\n", + " [10 12]], shape=(2, 2), dtype=int32)\n", + "Multiplication:\n", + " tf.Tensor(\n", + "[[ 5 12]\n", + " [21 32]], shape=(2, 2), dtype=int32)\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Your turn:\n", + "# Compute a @ b (matrix multiplication) and print the result.\n", + "m=a@b\n", + "print(m)\n", + "\n", + "\n" + ], + "metadata": { + "id": "zv02rBVZmzPR", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "b6a653cb-c94c-40bb-fc62-1483e0bf1186" + }, + "execution_count": 4, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "tf.Tensor(\n", + "[[19 22]\n", + " [43 50]], shape=(2, 2), dtype=int32)\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 3️⃣ Random Tensors 🎲\n", + "**Task:** Generate a random tensor of shape (3, 3) from a normal distribution and print its mean and standard deviation." + ], + "metadata": { + "id": "CbDULpk7m3c2" + } + }, + { + "cell_type": "code", + "source": [ + "# Example snippet\n", + "random_tensor = tf.random.normal([3, 3])\n", + "print(\"Random Tensor:\\n\", random_tensor)\n", + "print(\"Mean:\", tf.reduce_mean(random_tensor))\n", + "print(\"Std Dev:\", tf.math.reduce_std(random_tensor))\n" + ], + "metadata": { + "id": "Czc74X8Nm2Oa", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "8d4ebe87-2dc5-4aac-cc5b-55193a792fd5" + }, + "execution_count": 5, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Random Tensor:\n", + " tf.Tensor(\n", + "[[ 1.3571868 -0.6091366 -0.61158186]\n", + " [ 1.7426014 -0.04790685 0.81934994]\n", + " [ 1.32141 -0.4158888 0.26323682]], shape=(3, 3), dtype=float32)\n", + "Mean: tf.Tensor(0.42436343, shape=(), dtype=float32)\n", + "Std Dev: tf.Tensor(0.86055195, shape=(), dtype=float32)\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 4️⃣ Building a Simple Model 🤖\n", + "**Task:** Build a single-layer neural network using tf.keras.Sequential." + ], + "metadata": { + "id": "wVH1vcq3nDgV" + } + }, + { + "cell_type": "code", + "source": [ + "# Example snippet\n", + "model = tf.keras.Sequential([\n", + " tf.keras.layers.Dense(1, input_shape=(1,))\n", + "])\n", + "model.summary()\n" + ], + "metadata": { + "id": "9G2Jw8VSnC6f", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 222 + }, + "outputId": "efd0abea-f3e6-43ef-85d5-b3285f9c75ba" + }, + "execution_count": 6, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.11/dist-packages/keras/src/layers/core/dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.\n", + " super().__init__(activity_regularizer=activity_regularizer, **kwargs)\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "\u001b[1mModel: \"sequential\"\u001b[0m\n" + ], + "text/html": [ + "
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    +              "┃ Layer (type)                     Output Shape                  Param # ┃\n",
    +              "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩\n",
    +              "│ dense (Dense)                   │ (None, 1)              │             2 │\n",
    +              "└─────────────────────────────────┴────────────────────────┴───────────────┘\n",
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    +              "┃ Layer (type)                     Output Shape                  Param # ┃\n",
    +              "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩\n",
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    \n" + ] + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 5️⃣ Bonus ⚡\n", + "* Create a tensor with values from 0 to 9 (inclusive).\n", + "\n", + "* Reshape it to shape (2, 5).\n", + "\n", + "* Pint the reshaped tensor." + ], + "metadata": { + "id": "GpOxR_RFnMt_" + } + }, + { + "cell_type": "code", + "source": [ + "# To do\n", + "\n", + "a=tf.range(10)\n", + "print(a)\n", + "b=tf.reshape(a,(2,5))\n", + "print(b)\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "caRjq7WinMLf", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "0de43407-69eb-4a21-e19e-4be7b649c04f" + }, + "execution_count": 8, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "tf.Tensor([0 1 2 3 4 5 6 7 8 9], shape=(10,), dtype=int32)\n", + "tf.Tensor(\n", + "[[0 1 2 3 4]\n", + " [5 6 7 8 9]], shape=(2, 5), dtype=int32)\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.8/AI-DS_Nexus__A0_8__rsayyareh.ipynb b/a0.1/a0.8/AI-DS_Nexus__A0_8__rsayyareh.ipynb new file mode 100644 index 0000000..3688c55 --- /dev/null +++ b/a0.1/a0.8/AI-DS_Nexus__A0_8__rsayyareh.ipynb @@ -0,0 +1,471 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "WKCsWe71mbTO" + }, + "source": [ + "# 🧠 Assignment: Getting Started with TensorFlow\n", + "\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ODPYXweVmdKp" + }, + "source": [ + "## 🎯 Goal\n", + "This assignment evaluates your basic skills in using TensorFlow, including creating tensors, performing operations, and building a simple model.\n", + "\n", + "### 1️⃣ Setup and Basics\n", + "**Task:**\n", + "\n", + "* Install TensorFlow and verify the version.\n", + "* Create a simple tensor and print it." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "id": "LrzxFPr3mPno" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "TensorFlow version: 2.20.0\n", + "Tensor a:\n", + " tf.Tensor(\n", + "[[1 2]\n", + " [3 4]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "import tensorflow as tf\n", + "\n", + "print(\"TensorFlow version:\", tf.__version__)\n", + "a = tf.constant([[1, 2], [3, 4]])\n", + "print(\"Tensor a:\\n\", a)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "id": "MSC0WPwymq3V" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Tensor b:\n", + " tf.Tensor(\n", + "[[5 6]\n", + " [7 8]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Create a tensor b with values [[5, 6], [7, 8]] and print its shape.\n", + "b = tf.constant([[5, 6], [7, 8]])\n", + "print(\"Tensor b:\\n\", b)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "b4cuWXJvmwdC" + }, + "source": [ + "### 2️⃣ Tensor Operations\n", + "**Task:** Perform element-wise addition and multiplication." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "id": "pzlGeEuhmtYo" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Addition:\n", + " tf.Tensor(\n", + "[[ 6 8]\n", + " [10 12]], shape=(2, 2), dtype=int32)\n", + "Multiplication:\n", + " tf.Tensor(\n", + "[[ 5 12]\n", + " [21 32]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "c = a + b\n", + "print(\"Addition:\\n\", c)\n", + "\n", + "d = a * b\n", + "print(\"Multiplication:\\n\", d)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "zv02rBVZmzPR" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Matrix Multiplication:\n", + " tf.Tensor(\n", + "[[19 22]\n", + " [43 50]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Compute a @ b (matrix multiplication) and print the result.\n", + "\n", + "e = a @ b\n", + "print(\"Matrix Multiplication:\\n\", e)\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "CbDULpk7m3c2" + }, + "source": [ + "### 3️⃣ Random Tensors 🎲\n", + "**Task:** Generate a random tensor of shape (3, 3) from a normal distribution and print its mean and standard deviation." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "Czc74X8Nm2Oa" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Random Tensor:\n", + " tf.Tensor(\n", + "[[ 0.06132538 -0.4524595 0.00465713]\n", + " [-0.9531849 -0.41993755 0.21351114]\n", + " [ 0.3521335 -1.6075189 -0.04839648]], shape=(3, 3), dtype=float32)\n", + "Mean: tf.Tensor(-0.31665224, shape=(), dtype=float32)\n", + "Std Dev: tf.Tensor(0.59132975, shape=(), dtype=float32)\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "\n", + "random_tensor = tf.random.normal([3, 3])\n", + "print(\"Random Tensor:\\n\", random_tensor)\n", + "print(\"Mean:\", tf.reduce_mean(random_tensor))\n", + "print(\"Std Dev:\", tf.math.reduce_std(random_tensor))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wVH1vcq3nDgV" + }, + "source": [ + "### 4️⃣ Building a Simple Model 🤖\n", + "**Task:** Build a single-layer neural network using tf.keras.Sequential." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "9G2Jw8VSnC6f" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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    +              "┃ Layer (type)                     Output Shape                  Param # ┃\n",
    +              "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩\n",
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    +              "┃ Layer (type)                     Output Shape                  Param # ┃\n",
    +              "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩\n",
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tensor:\n", + " tf.Tensor(\n", + "[[0 1 2 3 4]\n", + " [5 6 7 8 9]], shape=(2, 5), dtype=int32)\n" + ] + } + ], + "source": [ + "# To do\n", + "x = tf.range(10)\n", + "x_reshaped = tf.reshape(x, (2, 5))\n", + "print(\"Re-shaped tensor:\\n\", x_reshaped)\n", + "\n", + "\n", + "\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python (nexus-venv)", + "language": "python", + "name": "nexus-venv" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.8/Assignment_08_Tensorflow___Nexus___RoohollaAlikhani.ipynb b/a0.1/a0.8/Assignment_08_Tensorflow___Nexus___RoohollaAlikhani.ipynb new file mode 100644 index 0000000..091c665 --- /dev/null +++ b/a0.1/a0.8/Assignment_08_Tensorflow___Nexus___RoohollaAlikhani.ipynb @@ -0,0 +1,373 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "WKCsWe71mbTO" + }, + "source": [ + "# 🧠 Assignment: Getting Started with TensorFlow\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ODPYXweVmdKp" + }, + "source": [ + "## 🎯 Goal\n", + "This assignment evaluates your basic skills in using TensorFlow, including creating tensors, performing operations, and building a simple model.\n", + "\n", + "### 1️⃣ Setup and Basics\n", + "**Task:**\n", + "\n", + "* Install TensorFlow and verify the version.\n", + "* Create a simple tensor and print it." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import tensorflow as tf" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "LrzxFPr3mPno" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "TensorFlow version: 2.19.0\n", + "Tensor a:\n", + " tf.Tensor(\n", + "[[1 2]\n", + " [3 4]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "import tensorflow as tf\n", + "\n", + "print(\"TensorFlow version:\", tf.__version__)\n", + "a = tf.constant([[1, 2], [3, 4]])\n", + "print(\"Tensor a:\\n\", a)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "MSC0WPwymq3V" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Tensor a:\n", + " tf.Tensor(\n", + "[[5 6]\n", + " [7 8]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Create a tensor b with values [[5, 6], [7, 8]] and print its shape.\n", + "b = tf.constant([[5, 6], [7, 8]])\n", + "print(\"Tensor a:\\n\", b)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "b4cuWXJvmwdC" + }, + "source": [ + "### 2️⃣ Tensor Operations\n", + "**Task:** Perform element-wise addition and multiplication." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "pzlGeEuhmtYo" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Addition:\n", + " tf.Tensor(\n", + "[[ 6 8]\n", + " [10 12]], shape=(2, 2), dtype=int32)\n", + "Multiplication:\n", + " tf.Tensor(\n", + "[[ 5 12]\n", + " [21 32]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "c = a + b\n", + "print(\"Addition:\\n\", c)\n", + "\n", + "d = a * b\n", + "print(\"Multiplication:\\n\", d)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "zv02rBVZmzPR" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "matrix multiplication: \n", + " tf.Tensor(\n", + "[[19 22]\n", + " [43 50]], shape=(2, 2), dtype=int32)\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Compute a @ b (matrix multiplication) and print the result.\n", + "e = a @ b\n", + "print(\"matrix multiplication: \\n\" , e)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "CbDULpk7m3c2" + }, + "source": [ + "### 3️⃣ Random Tensors 🎲\n", + "**Task:** Generate a random tensor of shape (3, 3) from a normal distribution and print its mean and standard deviation." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "id": "Czc74X8Nm2Oa" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Random Tensor:\n", + " tf.Tensor(\n", + "[[ 2.4778519 1.091282 -1.2910949 ]\n", + " [ 1.723791 0.13134924 0.892447 ]\n", + " [ 0.0541843 -0.05278427 -0.22317024]], shape=(3, 3), dtype=float32)\n", + "Mean: tf.Tensor(0.53376174, shape=(), dtype=float32)\n", + "Std Dev: tf.Tensor(1.068444, shape=(), dtype=float32)\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "random_tensor = tf.random.normal([3, 3])\n", + "print(\"Random Tensor:\\n\", random_tensor)\n", + "print(\"Mean:\", tf.reduce_mean(random_tensor))\n", + "print(\"Std Dev:\", tf.math.reduce_std(random_tensor))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wVH1vcq3nDgV" + }, + "source": [ + "### 4️⃣ Building a Simple Model 🤖\n", + "**Task:** Build a single-layer neural network using tf.keras.Sequential." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "id": "9G2Jw8VSnC6f" + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "c:\\Users\\Magellan\\miniconda3\\envs\\DsAi\\Lib\\site-packages\\keras\\src\\layers\\core\\dense.py:92: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.\n", + " super().__init__(activity_regularizer=activity_regularizer, **kwargs)\n" + ] + }, + { + "data": { + "text/html": [ + "
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"source": [ + "# To do\n", + "\n", + "\n", + "\n", + "\n", + "\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "DsAi", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.9/AI-DS_Nexus__A0_9_Amirhossein_Zandi_8fca80.ipynb b/a0.1/a0.9/AI-DS_Nexus__A0_9_Amirhossein_Zandi_8fca80.ipynb new file mode 100644 index 0000000..37627a9 --- /dev/null +++ b/a0.1/a0.9/AI-DS_Nexus__A0_9_Amirhossein_Zandi_8fca80.ipynb @@ -0,0 +1,319 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "jXeFx3ouAeuu" + }, + "source": [ + "# 1️⃣ Class and Object Creation\n", + "Task:\n", + "\n", + "Define a class Car with attributes brand and year.\n", + "\n", + "Create an object car1 of class Car with values (\"Toyota\", 2020) and print them." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "q6ZZJvAlwvOR", + "outputId": "0cab0f68-9d31-4473-9e39-52ee9baa7f32" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Toyota 2020\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + "car1 = Car(\"Toyota\", 2020)\n", + "print(car1.brand, car1.year)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Zgp2JBoeyfKk", + "outputId": "958c2ca8-dc2c-4b91-c812-bdb2f155a7ec" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Tesla 2023\n" + ] + } + ], + "source": [ + "car2 = Car(\"Tesla\" , 2023)\n", + "print(car2.brand , car2.year)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "97_yM2QFB9SK" + }, + "source": [ + "# 2️⃣ Add Methods 🛠\n", + "Task: Add a method info() to Car that prints \"Brand: , Year: \"." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "m8xhvbmxCAAU", + "outputId": "93247157-601d-459c-a016-6cda0541f221" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Brand: Toyota, Year: 2020\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + " def info(self):\n", + " print(f\"Brand: {self.brand}, Year: {self.year}\")\n", + "\n", + "car1 = Car(\"Toyota\", 2020)\n", + "car1.info()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "H7dPpb_7NcqO", + "outputId": "f7b8bbe4-36e4-4259-8f15-5b894003aa3f" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Brand: Tesla, Year: 2023\n" + ] + } + ], + "source": [ + "car2 = Car(\"Tesla\" , 2023)\n", + "car2.info()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "g8bOyO2ZNnSa" + }, + "source": [ + "# 3️⃣ Class vs Instance Attributes 📦\n", + "Task:\n", + "\n", + "Add a class attribute wheels = 4 to Car.\n", + "\n", + "Print car1.wheels and car2.wheels." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "id": "225NeqDWNsj8" + }, + "outputs": [], + "source": [ + "class Car:\n", + " def __init__(self, brand, year , wheels=4):\n", + " self.brand = brand\n", + " self.year = year\n", + " self.wheels = wheels" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "gJBPBp_PN8lG", + "outputId": "6057831d-1a57-4b3d-9d0f-4f3c43cd8b48" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Car 1 wheels : 4\n", + "Car 2 wheels : 4\n" + ] + } + ], + "source": [ + "car1 = Car(\"Toyota\" , 2020)\n", + "car2 = Car(\"Tesla\" , 2023)\n", + "print(f\"Car 1 wheels : {car1.wheels}\")\n", + "print(f\"Car 2 wheels : {car2.wheels}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "R4vl_QW0OZ_c" + }, + "source": [ + "# 4️⃣ Inheritance 👑\n", + "Task:\n", + "\n", + "Create a subclass ElectricCar inheriting from Car.\n", + "Add a new attribute battery (e.g., \"80 kWh\") and a method battery_info() that prints \"Battery: \"." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "oqi-7UsoOciP", + "outputId": "8fbbf38e-7161-4c69-ee22-7268b0b89f7f" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Brand: Tesla, Year: 2023, Wheels: 4\n", + "Battery: 80 kWh\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "\n", + "class Car:\n", + " def __init__(self , brand , year , wheels=4):\n", + " self.brand = brand\n", + " self.year = year\n", + " self.wheels = wheels\n", + "\n", + " def info(self):\n", + " print(f\"Brand: {self.brand}, Year: {self.year}, Wheels: {self.wheels}\")\n", + "\n", + "\n", + "class ElectricCar(Car):\n", + " def __init__(self, brand, year, battery):\n", + " super().__init__(brand, year)\n", + " self.battery = battery\n", + "\n", + " def battery_info(self):\n", + " print(f\"Battery: {self.battery}\")\n", + "\n", + "e_car = ElectricCar(\"Tesla\", 2023, \"80 kWh\")\n", + "e_car.info()\n", + "e_car.battery_info()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "pjerthQYZF1c" + }, + "source": [ + "# 5️⃣ Bonus ⚡\n", + "Add a str method to Car to return a string like: \"Car(brand=Toyota, year=2020)\"." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 36 + }, + "id": "KVGLJjZ6ZRT2", + "outputId": "2d2abe0d-1e91-4cc5-e2aa-83895023ed38" + }, + "outputs": [ + { + "data": { + "application/vnd.google.colaboratory.intrinsic+json": { + "type": "string" + }, + "text/plain": [ + "'Car(brand=Toyota, year=2020)'" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "class Car:\n", + " def __init__(self , brand , year , wheels=4):\n", + " self.brand = brand\n", + " self.year = year\n", + " self.wheels = wheels\n", + " def __str__(self):\n", + " return f\"Car(brand={self.brand}, year={self.year})\"\n", + "\n", + "c1 = Car(\"Toyota\" , 2020)\n", + "c1.__str__()" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "name": "python", + "version": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.9/AI-DS_Nexus__A0_9_Javid_Mohammadi_a60d6f.ipynb b/a0.1/a0.9/AI-DS_Nexus__A0_9_Javid_Mohammadi_a60d6f.ipynb new file mode 100644 index 0000000..aeaf132 --- /dev/null +++ b/a0.1/a0.9/AI-DS_Nexus__A0_9_Javid_Mohammadi_a60d6f.ipynb @@ -0,0 +1,346 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 🏗 Assignment: Object-Oriented Programming Basics\n", + "\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n" + ], + "metadata": { + "id": "pmXWXQskqQf7" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 🎯 Goal\n", + "This assignment checks your understanding of classes, objects, attributes, and methods using Python." + ], + "metadata": { + "id": "mYX-Yr0YqWTv" + } + }, + { + "cell_type": "markdown", + "source": [ + "### 1️⃣ Class and Object Creation\n", + "**Task:**\n", + "\n", + "* Define a class Car with attributes brand and year.\n", + "\n", + "* Create an object car1 of class Car with values (\"Toyota\", 2020) and print them." + ], + "metadata": { + "id": "uxnkvADeqX6P" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "HF7h_UxJqNLb", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "ac461f09-1746-4ab3-e982-a28e8c96b2d1" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Toyota 2020\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + "car1 = Car(\"Toyota\", 2020)\n", + "print(car1.brand, car1.year)\n" + ] + }, + { + "cell_type": "code", + "source": [ + "#Your turn:\n", + "# Create another object car2 with brand \"Tesla\" and year 2023.\n", + "car2 = Car('Tesla', 2023)\n", + "print(car2.brand, car2.year)\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "5frI0xqrqcz2", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "c3611dd9-a9d8-45cb-fd4e-2ef441b4b254" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Tesla 2023\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 2️⃣ Add Methods 🛠\n", + "**Task:**\n", + "Add a method info() to Car that prints \"Brand: , Year: \"." + ], + "metadata": { + "id": "1WvafJpAqgkt" + } + }, + { + "cell_type": "code", + "source": [ + "# Example snippet\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + " def info(self):\n", + " print(f\"Brand: {self.brand}, Year: {self.year}\")\n", + "\n", + "car1 = Car(\"Toyota\", 2020)\n", + "car1.info()\n" + ], + "metadata": { + "id": "AJM4pVrzqfJP", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "e2afb38a-07b6-4095-fd7e-e73f719ce99d" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Brand: Toyota, Year: 2020\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Your turn:\n", + "# Call info() for car2.\n", + "car2 = Car('Tesla', 2023)\n", + "car2.info()\n", + "\n", + "\n" + ], + "metadata": { + "id": "qwuFw0CiqkM8", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "62b1a755-d53c-40f8-e366-d0a98f1a66b7" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Brand: Tesla, Year: 2023\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 3️⃣ Class vs Instance Attributes 📦\n", + "**Task:**\n", + "\n", + "* Add a class attribute wheels = 4 to Car.\n", + "\n", + "* Print car1.wheels and car2.wheels." + ], + "metadata": { + "id": "AOwBtvr0qosK" + } + }, + { + "cell_type": "code", + "source": [ + "# To do\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + " self.wheels = 4 # initialize directly because all cars have 4 wheels.\n", + "\n", + " def info(self):\n", + " print(f\"Brand: {self.brand}, Year: {self.year}\")\n", + "\n", + "car1, car2 = Car(\"Toyota\", 2020), Car('Tesla', 2023)\n", + "print(car1.wheels, car2.wheels)\n" + ], + "metadata": { + "id": "rPXvKwtsqm0C", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "d1484524-fbd3-4f8e-f314-c3b21ed3424e" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "4 4\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 4️⃣ Inheritance 👑\n", + "**Task:**\n", + "\n", + "* Create a subclass ElectricCar inheriting from Car.\n", + "* Add a new attribute battery (e.g., \"80 kWh\") and a method battery_info() that prints \"Battery: \"." + ], + "metadata": { + "id": "NLoiaaeuquwg" + } + }, + { + "cell_type": "code", + "source": [ + "# Example snippet\n", + "class ElectricCar(Car):\n", + " def __init__(self, brand, year, battery):\n", + " super().__init__(brand, year)\n", + " self.battery = battery\n", + "\n", + " def battery_info(self):\n", + " print(f\"Battery: {self.battery}\")\n", + "\n", + "e_car = ElectricCar(\"Tesla\", 2023, \"80 kWh\")\n", + "e_car.info()\n", + "e_car.battery_info()\n" + ], + "metadata": { + "id": "e_sS1YdIqtk_", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "2f88a5c7-af58-4dbb-a3fd-3fca4d3f29cf" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Brand: Tesla, Year: 2023\n", + "Battery: 80 kWh\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 5️⃣ Bonus ⚡\n", + "* Add a __str__ method to Car to return a string like: \"Car(brand=Toyota, year=2020)\"." + ], + "metadata": { + "id": "wC0OIrRMq7jv" + } + }, + { + "cell_type": "code", + "source": [ + "# To do\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + " self.wheels = 4 # initialize directly because all cars have 4 wheels.\n", + "\n", + " def info(self):\n", + " print(f\"Brand: {self.brand}, Year: {self.year}\")\n", + "\n", + " def __str__(self):\n", + " return f\"Car(brand={self.brand}, year={self.year})\"\n", + "\n" + ], + "metadata": { + "id": "cAfBWxrlrA2t" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "car1, car2 = Car(\"Toyota\", 2020), Car('Tesla', 2023)\n", + "print(car1)\n", + "print(car2)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "q4Kl3WtO8i39", + "outputId": "a1687c34-2c86-406b-99dd-e3619d0a4355" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Car(brand=Toyota, year=2020)\n", + "Car(brand=Tesla, year=2023)\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.9/AI-DS_Nexus__A0_9_Project__RezaShokr.ipynb b/a0.1/a0.9/AI-DS_Nexus__A0_9_Project__RezaShokr.ipynb new file mode 100644 index 0000000..2b9b41f --- /dev/null +++ b/a0.1/a0.9/AI-DS_Nexus__A0_9_Project__RezaShokr.ipynb @@ -0,0 +1,221 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 🏗 Assignment: Object-Oriented Programming Basics\n", + "\n" + ], + "metadata": { + "id": "pmXWXQskqQf7" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 🎯 Goal\n", + "This assignment checks your understanding of classes, objects, attributes, and methods using Python." + ], + "metadata": { + "id": "mYX-Yr0YqWTv" + } + }, + { + "cell_type": "markdown", + "source": [ + "### 1️⃣ Class and Object Creation\n", + "**Task:**\n", + "\n", + "* Define a class Car with attributes brand and year.\n", + "\n", + "* Create an object car1 of class Car with values (\"Toyota\", 2020) and print them." + ], + "metadata": { + "id": "uxnkvADeqX6P" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "HF7h_UxJqNLb" + }, + "outputs": [], + "source": [ + "# Example snippet\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + "car1 = Car(\"Toyota\", 2020)\n", + "print(car1.brand, car1.year)\n" + ] + }, + { + "cell_type": "code", + "source": [ + "#Your turn:\n", + "# Create another object car2 with brand \"Tesla\" and year 2023.\n", + "\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "5frI0xqrqcz2" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### 2️⃣ Add Methods 🛠\n", + "**Task:**\n", + "Add a method info() to Car that prints \"Brand: , Year: \"." + ], + "metadata": { + "id": "1WvafJpAqgkt" + } + }, + { + "cell_type": "code", + "source": [ + "# Example snippet\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + " def info(self):\n", + " print(f\"Brand: {self.brand}, Year: {self.year}\")\n", + "\n", + "car1 = Car(\"Toyota\", 2020)\n", + "car1.info()\n" + ], + "metadata": { + "id": "AJM4pVrzqfJP" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# Your turn:\n", + "# Call info() for car2.\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "qwuFw0CiqkM8" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### 3️⃣ Class vs Instance Attributes 📦\n", + "**Task:**\n", + "\n", + "* Add a class attribute wheels = 4 to Car.\n", + "\n", + "* Print car1.wheels and car2.wheels." + ], + "metadata": { + "id": "AOwBtvr0qosK" + } + }, + { + "cell_type": "code", + "source": [ + "# To do\n", + "\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "rPXvKwtsqm0C" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### 4️⃣ Inheritance 👑\n", + "**Task:**\n", + "\n", + "* Create a subclass ElectricCar inheriting from Car.\n", + "* Add a new attribute battery (e.g., \"80 kWh\") and a method battery_info() that prints \"Battery: \"." + ], + "metadata": { + "id": "NLoiaaeuquwg" + } + }, + { + "cell_type": "code", + "source": [ + "# Example snippet\n", + "class ElectricCar(Car):\n", + " def __init__(self, brand, year, battery):\n", + " ________.__init__(brand, year)\n", + " self.battery = battery\n", + "\n", + " def battery_info(self):\n", + " print(f\"Battery: {________.battery}\")\n", + "\n", + "e_car = ElectricCar(\"Tesla\", 2023, \"80 kWh\")\n", + "e_car.info()\n", + "e_car.battery_info()\n" + ], + "metadata": { + "id": "e_sS1YdIqtk_" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### 5️⃣ Bonus ⚡\n", + "* Add a __str__ method to Car to return a string like: \"Car(brand=Toyota, year=2020)\"." + ], + "metadata": { + "id": "wC0OIrRMq7jv" + } + }, + { + "cell_type": "code", + "source": [ + "# To do\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "cAfBWxrlrA2t" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.9/AI-DS_Nexus__A0_9_Project_roohi_268383.ipynb b/a0.1/a0.9/AI-DS_Nexus__A0_9_Project_roohi_268383.ipynb new file mode 100644 index 0000000..2b9b41f --- /dev/null +++ b/a0.1/a0.9/AI-DS_Nexus__A0_9_Project_roohi_268383.ipynb @@ -0,0 +1,221 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 🏗 Assignment: Object-Oriented Programming Basics\n", + "\n" + ], + "metadata": { + "id": "pmXWXQskqQf7" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 🎯 Goal\n", + "This assignment checks your understanding of classes, objects, attributes, and methods using Python." + ], + "metadata": { + "id": "mYX-Yr0YqWTv" + } + }, + { + "cell_type": "markdown", + "source": [ + "### 1️⃣ Class and Object Creation\n", + "**Task:**\n", + "\n", + "* Define a class Car with attributes brand and year.\n", + "\n", + "* Create an object car1 of class Car with values (\"Toyota\", 2020) and print them." + ], + "metadata": { + "id": "uxnkvADeqX6P" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "HF7h_UxJqNLb" + }, + "outputs": [], + "source": [ + "# Example snippet\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + "car1 = Car(\"Toyota\", 2020)\n", + "print(car1.brand, car1.year)\n" + ] + }, + { + "cell_type": "code", + "source": [ + "#Your turn:\n", + "# Create another object car2 with brand \"Tesla\" and year 2023.\n", + "\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "5frI0xqrqcz2" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### 2️⃣ Add Methods 🛠\n", + "**Task:**\n", + "Add a method info() to Car that prints \"Brand: , Year: \"." + ], + "metadata": { + "id": "1WvafJpAqgkt" + } + }, + { + "cell_type": "code", + "source": [ + "# Example snippet\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + " def info(self):\n", + " print(f\"Brand: {self.brand}, Year: {self.year}\")\n", + "\n", + "car1 = Car(\"Toyota\", 2020)\n", + "car1.info()\n" + ], + "metadata": { + "id": "AJM4pVrzqfJP" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# Your turn:\n", + "# Call info() for car2.\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "qwuFw0CiqkM8" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### 3️⃣ Class vs Instance Attributes 📦\n", + "**Task:**\n", + "\n", + "* Add a class attribute wheels = 4 to Car.\n", + "\n", + "* Print car1.wheels and car2.wheels." + ], + "metadata": { + "id": "AOwBtvr0qosK" + } + }, + { + "cell_type": "code", + "source": [ + "# To do\n", + "\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "rPXvKwtsqm0C" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### 4️⃣ Inheritance 👑\n", + "**Task:**\n", + "\n", + "* Create a subclass ElectricCar inheriting from Car.\n", + "* Add a new attribute battery (e.g., \"80 kWh\") and a method battery_info() that prints \"Battery: \"." + ], + "metadata": { + "id": "NLoiaaeuquwg" + } + }, + { + "cell_type": "code", + "source": [ + "# Example snippet\n", + "class ElectricCar(Car):\n", + " def __init__(self, brand, year, battery):\n", + " ________.__init__(brand, year)\n", + " self.battery = battery\n", + "\n", + " def battery_info(self):\n", + " print(f\"Battery: {________.battery}\")\n", + "\n", + "e_car = ElectricCar(\"Tesla\", 2023, \"80 kWh\")\n", + "e_car.info()\n", + "e_car.battery_info()\n" + ], + "metadata": { + "id": "e_sS1YdIqtk_" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### 5️⃣ Bonus ⚡\n", + "* Add a __str__ method to Car to return a string like: \"Car(brand=Toyota, year=2020)\"." + ], + "metadata": { + "id": "wC0OIrRMq7jv" + } + }, + { + "cell_type": "code", + "source": [ + "# To do\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "cAfBWxrlrA2t" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.9/AI-DS_Nexus__A0_9__aminran.ipynb b/a0.1/a0.9/AI-DS_Nexus__A0_9__aminran.ipynb new file mode 100644 index 0000000..2864b94 --- /dev/null +++ b/a0.1/a0.9/AI-DS_Nexus__A0_9__aminran.ipynb @@ -0,0 +1,335 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 🏗 Assignment: Object-Oriented Programming Basics\n", + "\n" + ], + "metadata": { + "id": "pmXWXQskqQf7" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 🎯 Goal\n", + "This assignment checks your understanding of classes, objects, attributes, and methods using Python." + ], + "metadata": { + "id": "mYX-Yr0YqWTv" + } + }, + { + "cell_type": "markdown", + "source": [ + "### 1️⃣ Class and Object Creation\n", + "**Task:**\n", + "\n", + "* Define a class Car with attributes brand and year.\n", + "\n", + "* Create an object car1 of class Car with values (\"Toyota\", 2020) and print them." + ], + "metadata": { + "id": "uxnkvADeqX6P" + } + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "id": "HF7h_UxJqNLb", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "e9723e0b-80f9-4609-c44c-2e446f3f7569" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Toyota 2020\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + "car1 = Car(\"Toyota\", 2020)\n", + "print(car1.brand, car1.year)\n" + ] + }, + { + "cell_type": "code", + "source": [ + "#Your turn:\n", + "# Create another object car2 with brand \"Tesla\" and year 2023.\n", + "\n", + "car2 = Car(\"Tesla\", 2023)\n", + "print(car2.brand, car2.year)\n", + "\n", + "\n" + ], + "metadata": { + "id": "5frI0xqrqcz2", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "10ac8d19-92cd-4e7b-a15b-218a5bc64cdf" + }, + "execution_count": 37, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Tesla 2023\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 2️⃣ Add Methods 🛠\n", + "**Task:**\n", + "Add a method info() to Car that prints \"Brand: , Year: \"." + ], + "metadata": { + "id": "1WvafJpAqgkt" + } + }, + { + "cell_type": "code", + "source": [ + "# Example snippet\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + " def info(self):\n", + " print(f\"Brand: {self.brand}, Year: {self.year}\")\n", + "\n", + "car1 = Car(\"Toyota\", 2020)\n", + "car1.info()\n" + ], + "metadata": { + "id": "AJM4pVrzqfJP", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "cc866bdb-40d7-4c42-bc33-7d2a4ac6040a" + }, + "execution_count": 38, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Brand: Toyota, Year: 2020\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Your turn:\n", + "# Call info() for car2.\n", + "car2 = Car(\"Tesla\", 2023)\n", + "car2.info()\n", + "\n", + "\n" + ], + "metadata": { + "id": "qwuFw0CiqkM8", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "f48e67ea-7096-4d6c-d0ea-280323662a2a" + }, + "execution_count": 39, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Brand: Tesla, Year: 2023\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 3️⃣ Class vs Instance Attributes 📦\n", + "**Task:**\n", + "\n", + "* Add a class attribute wheels = 4 to Car.\n", + "\n", + "* Print car1.wheels and car2.wheels." + ], + "metadata": { + "id": "AOwBtvr0qosK" + } + }, + { + "cell_type": "code", + "source": [ + "# To do\n", + "\n", + "class Car:\n", + " wheels = 4\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + "car1 = Car(\"Toyota\", 2020)\n", + "car2 = Car(\"Tesla\", 2023)\n", + "\n", + "print(car1.wheels)\n", + "\n", + "\n" + ], + "metadata": { + "id": "rPXvKwtsqm0C", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "9e039088-6b75-46f9-daf2-f217af590be6" + }, + "execution_count": 40, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "4\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 4️⃣ Inheritance 👑\n", + "**Task:**\n", + "\n", + "* Create a subclass ElectricCar inheriting from Car.\n", + "* Add a new attribute battery (e.g., \"80 kWh\") and a method battery_info() that prints \"Battery: \"." + ], + "metadata": { + "id": "NLoiaaeuquwg" + } + }, + { + "cell_type": "code", + "source": [ + "# Example snippet\n", + "\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + " def info(self):\n", + " print(f\"Brand: {self.brand}, Year: {self.year}\")\n", + "\n", + "\n", + "\n", + "class ElectricCar(Car):\n", + " def __init__(self, brand, year, battery):\n", + " super().__init__(brand, year)\n", + " self.battery = battery\n", + "\n", + " def battery_info(self):\n", + " print(f\"Battery: {self.battery}\")\n", + "\n", + "e_car = ElectricCar(\"Tesla\", 2023, \"80 kWh\")\n", + "e_car.info()\n", + "e_car.battery_info()\n" + ], + "metadata": { + "id": "e_sS1YdIqtk_", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "10facab8-66b5-400c-8f7d-834797979aec" + }, + "execution_count": 45, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Brand: Tesla, Year: 2023\n", + "Battery: 80 kWh\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 5️⃣ Bonus ⚡\n", + "* Add a __str__ method to Car to return a string like: \"Car(brand=Toyota, year=2020)\"." + ], + "metadata": { + "id": "wC0OIrRMq7jv" + } + }, + { + "cell_type": "code", + "source": [ + "# To do\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + " def __str__(self):\n", + " return f\"Car(brand={self.brand}, year={self.year})\"\n", + "\n", + "car1=Car(\"Toyota\", 2020)\n", + "print(car1)\n" + ], + "metadata": { + "id": "cAfBWxrlrA2t", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "ca7afc42-2957-445f-aa46-a4f18df3e2d5" + }, + "execution_count": 47, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Car(brand=Toyota, year=2020)\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.9/AI-DS_Nexus__A0_9__rsayyareh.ipynb b/a0.1/a0.9/AI-DS_Nexus__A0_9__rsayyareh.ipynb new file mode 100644 index 0000000..bab5dd5 --- /dev/null +++ b/a0.1/a0.9/AI-DS_Nexus__A0_9__rsayyareh.ipynb @@ -0,0 +1,323 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "pmXWXQskqQf7" + }, + "source": [ + "# 🏗 Assignment: Object-Oriented Programming Basics\n", + "\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "mYX-Yr0YqWTv" + }, + "source": [ + "## 🎯 Goal\n", + "This assignment checks your understanding of classes, objects, attributes, and methods using Python." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "uxnkvADeqX6P" + }, + "source": [ + "### 1️⃣ Class and Object Creation\n", + "**Task:**\n", + "\n", + "* Define a class Car with attributes brand and year.\n", + "\n", + "* Create an object car1 of class Car with values (\"Toyota\", 2020) and print them." + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "id": "HF7h_UxJqNLb" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Toyota 2020\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + "car1 = Car(\"Toyota\", 2020)\n", + "print(car1.brand, car1.year)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "id": "5frI0xqrqcz2" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Tesla 2023\n" + ] + } + ], + "source": [ + "#Your turn:\n", + "# Create another object car2 with brand \"Tesla\" and year 2023.\n", + "car2 = Car(\"Tesla\", 2023)\n", + "print(car2.brand, car2.year)\n", + "\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "1WvafJpAqgkt" + }, + "source": [ + "### 2️⃣ Add Methods 🛠\n", + "**Task:**\n", + "Add a method info() to Car that prints \"Brand: , Year: \"." + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "id": "AJM4pVrzqfJP" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Brand: Toyota, Year: 2020\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + " def info(self):\n", + " print(f\"Brand: {self.brand}, Year: {self.year}\")\n", + "\n", + "car1 = Car(\"Toyota\", 2020)\n", + "car1.info()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "id": "qwuFw0CiqkM8" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Brand: Tesla, Year: 2023\n" + ] + } + ], + "source": [ + "# Your turn:\n", + "# Call info() for car2.\n", + "car2 = Car(\"Tesla\", 2023)\n", + "car2.info()\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "AOwBtvr0qosK" + }, + "source": [ + "### 3️⃣ Class vs Instance Attributes 📦\n", + "**Task:**\n", + "\n", + "* Add a class attribute wheels = 4 to Car.\n", + "\n", + "* Print car1.wheels and car2.wheels." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "id": "rPXvKwtsqm0C" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Brand: Toyota, Wheels: 4\n", + "Brand: Tesla, Wheels: 4\n" + ] + } + ], + "source": [ + "# To do\n", + "setattr(Car,'wheels', 4)\n", + "print(f\"Brand: {car1.brand}, Wheels: {car1.wheels}\")\n", + "print(f\"Brand: {car2.brand}, Wheels: {car2.wheels}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NLoiaaeuquwg" + }, + "source": [ + "### 4️⃣ Inheritance 👑\n", + "**Task:**\n", + "\n", + "* Create a subclass ElectricCar inheriting from Car.\n", + "* Add a new attribute battery (e.g., \"80 kWh\") and a method battery_info() that prints \"Battery: \"." + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "id": "e_sS1YdIqtk_" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Brand: Tesla, Year: 2023\n", + "Battery: 80 kWh\n" + ] + } + ], + "source": [ + "# Example snippet\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + " def info(self):\n", + " print(f\"Brand: {self.brand}, Year: {self.year}\")\n", + " \n", + "class ElectricCar(Car):\n", + " def __init__(self, brand, year, battery):\n", + " super().__init__(brand, year)\n", + " self.battery = battery\n", + "\n", + " def battery_info(self):\n", + " print(f\"Battery: {self.battery}\")\n", + "\n", + "e_car = ElectricCar(\"Tesla\", 2023, \"80 kWh\")\n", + "e_car.info()\n", + "e_car.battery_info()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wC0OIrRMq7jv" + }, + "source": [ + "### 5️⃣ Bonus ⚡\n", + "* Add a __str__ method to Car to return a string like: \"Car(brand=Toyota, year=2020)\"." + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "id": "cAfBWxrlrA2t" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "'Car(brand=Toyota, year=2020)'" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# To do\n", + "# Example snippet\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + " def info(self):\n", + " print(f\"Brand: {self.brand}, Year: {self.year}\")\n", + "\n", + " def st(self):\n", + " return f\"Car(brand={self.brand}, year={self.year})\"\n", + "\n", + "car1 = Car(\"Toyota\", 2020)\n", + "car1.st()\n", + "\n", + "\n", + "\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a0.9/Assignment_09_Danieljaafari.ipynb b/a0.1/a0.9/Assignment_09_Danieljaafari.ipynb new file mode 100644 index 0000000..dfd0170 --- /dev/null +++ b/a0.1/a0.9/Assignment_09_Danieljaafari.ipynb @@ -0,0 +1,435 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 🏗 Assignment: Object-Oriented Programming Basics\n", + "\n" + ], + "metadata": { + "id": "pmXWXQskqQf7" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 🎯 Goal\n", + "This assignment checks your understanding of classes, objects, attributes, and methods using Python." + ], + "metadata": { + "id": "mYX-Yr0YqWTv" + } + }, + { + "cell_type": "markdown", + "source": [ + "### 1️⃣ Class and Object Creation\n", + "**Task:**\n", + "\n", + "* Define a class Car with attributes brand and year.\n", + "\n", + "* Create an object car1 of class Car with values (\"Toyota\", 2020) and print them." + ], + "metadata": { + "id": "uxnkvADeqX6P" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "HF7h_UxJqNLb" + }, + "outputs": [], + "source": [ + "# Example snippet\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + "car1 = Car(\"Toyota\", 2020)\n", + "print(car1.brand, car1.year)\n" + ] + }, + { + "cell_type": "code", + "source": [ + "#Your turn:\n", + "# Create another object car2 with brand \"Tesla\" and year 2023.\n", + "class CarDatabase:\n", + " def __init__(self):\n", + " self.data = {\n", + " \"2022\": {\n", + " \"Tesla\": [\"Model 3\", \"Model Y\"],\n", + " \"Toyota\": [\"Camery1\", \"Highlux1\"],\n", + " },\n", + " \"2023\": {\n", + " \"Tesla\": [\"Model X\", \"Model S\"],\n", + " \"Toyota\": [\"Camery2\", \"Highlux2\"],\n", + " }\n", + " }\n", + "\n", + " def find_models(self, brand=None, year=None):\n", + " # if main: Year is provided and exists in database\n", + " if year and year in self.data:\n", + " # Sub-if: Both year and valid brand are provided\n", + " if brand and brand in self.data[year]:\n", + " return f\"🚗 {brand} models in {year}: {', '.join(self.data[year][brand])}\"\n", + " # Sub-case if: Brand is provided but not found in that year\n", + " elif brand and brand not in self.data[year] and brand is not None:\n", + " return f\"❌ No data for brand '{brand}' in year {year}.\"\n", + " # Sub-case if: Only year is provided, show all brands and models in that year\n", + " else:\n", + " models_list = []\n", + " for b, models in self.data[year].items():\n", + " models_list.append(f\"{b}: {', '.join(models)}\")\n", + " return f\"📆 Models in {year}:\\n\" + \"\\n\".join(models_list)\n", + " # if main2: Only brand is provided (without year), show all years for that brand\n", + " elif brand:\n", + " output = f\"🔎 All models for brand '{brand}':\\n\"\n", + " found = False\n", + " for y in self.data:\n", + " if brand in self.data[y]:\n", + " found = True\n", + " output += f\"{y}: {', '.join(self.data[y][brand])}\\n\"\n", + " return output if found else f\"❌ No data for brand '{brand}'.\"\n", + " # if main3: Neither brand nor year is provided, show warning\n", + " else:\n", + " return \"⚠️ Please enter at least a brand or a year!\"\n", + "\n", + "#Creating Object this class\n", + "db = CarDatabase()\n", + "\n", + "#input for contant\n", + "year_input = input(\"Enter year (or leave blank): \").strip()\n", + "brand_input = input(\"Enter brand (or leave blank): \").strip()\n", + "\n", + "#if contant's input is no arrgument , sopouse None\n", + "year = year_input if year_input else None\n", + "brand = brand_input if brand_input else None\n", + "\n", + "result = db.find_models(brand=brand, year=year)\n", + "print(result)" + ], + "metadata": { + "id": "5frI0xqrqcz2", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "b36ab44f-ae64-4ff7-fd9a-31686b8afecd" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Enter year (or leave blank): \n", + "Enter brand (or leave blank): Tesla\n", + "🔎 All models for brand 'Tesla':\n", + "2022: Model 3, Model Y\n", + "2023: Model X, Model S\n", + "\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 2️⃣ Add Methods 🛠\n", + "**Task:**\n", + "Add a method info() to Car that prints \"Brand: , Year: \"." + ], + "metadata": { + "id": "1WvafJpAqgkt" + } + }, + { + "cell_type": "code", + "source": [ + "# Example snippet\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + " def info(self):\n", + " print(f\"Brand: {self.brand}, Year: {self.year}\")\n", + "\n", + "car1 = Car(\"Toyota\", 2020)\n", + "car1.info()\n" + ], + "metadata": { + "id": "AJM4pVrzqfJP", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "4b3799e2-3930-4171-ec21-44a95a8855b0" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Brand: Toyota, Year: 2020\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Your turn:\n", + "# Call info() for car2.\n", + "class Car:\n", + " def __init__(self, brand, year , model):\n", + " self.brand = brand\n", + " self.year = year\n", + " self.model = model\n", + "\n", + " def info(self):\n", + " print(f\"The Brand of{self.brand} and Year of{self.year} and Model of{self.model}is now\")\n", + "\n", + "\n", + "# Creating multiple Tesla cars based on year and model\n", + "car1 = Car(\"Tesla\", 2022, \"Model 3\")\n", + "car2 = Car(\"Tesla\", 2022, \"Model Y\")\n", + "car3 = Car(\"Tesla\", 2023, \"Model X\")\n", + "car4 = Car(\"Tesla\", 2023, \"Model S\")\n", + "\n", + "car1.info()\n", + "car2.info()\n", + "car3.info()\n", + "car4.info()" + ], + "metadata": { + "id": "qwuFw0CiqkM8", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "0d073a7e-03c3-44cb-c243-e98ee9394640" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "The Brand ofTesla and Year of2022 and Model ofModel 3is now\n", + "The Brand ofTesla and Year of2022 and Model ofModel Yis now\n", + "The Brand ofTesla and Year of2023 and Model ofModel Xis now\n", + "The Brand ofTesla and Year of2023 and Model ofModel Sis now\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 3️⃣ Class vs Instance Attributes 📦\n", + "**Task:**\n", + "\n", + "* Add a class attribute wheels = 4 to Car.\n", + "\n", + "* Print car1.wheels and car2.wheels." + ], + "metadata": { + "id": "AOwBtvr0qosK" + } + }, + { + "cell_type": "code", + "source": [ + "# To do\n", + "class Car:\n", + " wheels = 4\n", + " def __init__(self, brand, year, model):\n", + " self.brand = brand\n", + " self.year = year\n", + " self.model = model\n", + " def info(self):\n", + " print(f\"The Brand of{self.brand} and Year of{self.year} and Model of{self.model}is now\")\n", + "\n", + "car1 = Car(\"Tesla\", 2022, \"Model Y\")\n", + "car2 = Car(\"Tesla\", 2023, \"Model X\")\n", + "\n", + "print(\"car1 wheels:\", car1.wheels)\n", + "print(\"car2 wheels:\", car2.wheels)\n", + "\n", + "\n", + "car1.info()\n", + "car2.info()\n", + "\n", + "\n" + ], + "metadata": { + "id": "rPXvKwtsqm0C", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "d7f77f3b-4990-4172-c3c8-a20a1668f1b2" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "car1 wheels: 4\n", + "car2 wheels: 4\n", + "The Brand ofTesla and Year of2022 and Model ofModel Yis now\n", + "The Brand ofTesla and Year of2023 and Model ofModel Xis now\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 4️⃣ Inheritance 👑\n", + "**Task:**\n", + "\n", + "* Create a subclass ElectricCar inheriting from Car.\n", + "* Add a new attribute battery (e.g., \"80 kWh\") and a method battery_info() that prints \"Battery: \"." + ], + "metadata": { + "id": "NLoiaaeuquwg" + } + }, + { + "cell_type": "code", + "source": [ + "# Example snippet\n", + "class ElectricCar(Car):\n", + " def __init__(self, brand, year, battery):\n", + " ________.__init__(brand, year)\n", + " self.battery = battery\n", + "\n", + " def battery_info(self):\n", + " print(f\"Battery: {________.battery}\")\n", + "\n", + "e_car = ElectricCar(\"Tesla\", 2023, \"80 kWh\")\n", + "e_car.info()\n", + "e_car.battery_info()\n" + ], + "metadata": { + "id": "e_sS1YdIqtk_" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "class Car:\n", + " def __init__(self, brand, year, model):\n", + " self.brand = brand\n", + " self.year = year\n", + " self.model = model\n", + "\n", + " def info(self):\n", + " print(f\"The Brand of{self.brand} and Year of{self.year} and Model of{self.model}is now\")\n", + "\n", + "\n", + "class ElectricCar(Car):\n", + " def __init__(self, brand, year, model, battery):\n", + " super().__init__(brand, year, model)\n", + " self.battery = battery\n", + "\n", + " def battery_info(self):\n", + " print(f\"Battery: {self.battery}\")\n", + "\n", + "e_car = ElectricCar(\" Tesla \", \" 2023 \" , \" Model S \" , \" 80 kWh \")\n", + "\n", + "e_car.info()\n", + "e_car.battery_info()\n", + "\n", + "\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "B3exlEHmH47w", + "outputId": "0fbe616d-2dbd-410e-90f0-32222fc5a3f1" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "The Brand of Tesla and Year of 2023 and Model of Model S is now\n", + "Battery: 80 kWh \n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 5️⃣ Bonus ⚡\n", + "* Add a __str__ method to Car to return a string like: \"Car(brand=Toyota, year=2020)\"." + ], + "metadata": { + "id": "wC0OIrRMq7jv" + } + }, + { + "cell_type": "code", + "source": [ + "# To do\n", + "class Car:\n", + " def __init__(self, brand, year, model):\n", + " self.brand = brand\n", + " self.year = year\n", + " self.model = model\n", + "\n", + " def info(self):\n", + " print(f\"The Brand of{self.brand} and Year of{self.year} and Model of{self.model}is now\")\n", + "\n", + " def __str__(self):\n", + " return f\"Car(brand={self.brand}, year={self.year} , model={self.model})\"\n", + "\n", + "car1 = Car(\"Toyota\", 2022, \"Camery1\")\n", + "print(car1)\n", + "\n", + "\n" + ], + "metadata": { + "id": "cAfBWxrlrA2t", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "69a89a25-96d4-4609-9a2c-ccb4ce2d16c1" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Car(brand=Toyota, year=2022 , model=Camery1)\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/a0.1/a0.9/Assignment_09_OOP___Nexus___RoohollaAlikhani_ipynb.ipynb b/a0.1/a0.9/Assignment_09_OOP___Nexus___RoohollaAlikhani_ipynb.ipynb new file mode 100644 index 0000000..2b9b41f --- /dev/null +++ b/a0.1/a0.9/Assignment_09_OOP___Nexus___RoohollaAlikhani_ipynb.ipynb @@ -0,0 +1,221 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 🏗 Assignment: Object-Oriented Programming Basics\n", + "\n" + ], + "metadata": { + "id": "pmXWXQskqQf7" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 🎯 Goal\n", + "This assignment checks your understanding of classes, objects, attributes, and methods using Python." + ], + "metadata": { + "id": "mYX-Yr0YqWTv" + } + }, + { + "cell_type": "markdown", + "source": [ + "### 1️⃣ Class and Object Creation\n", + "**Task:**\n", + "\n", + "* Define a class Car with attributes brand and year.\n", + "\n", + "* Create an object car1 of class Car with values (\"Toyota\", 2020) and print them." + ], + "metadata": { + "id": "uxnkvADeqX6P" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "HF7h_UxJqNLb" + }, + "outputs": [], + "source": [ + "# Example snippet\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + "car1 = Car(\"Toyota\", 2020)\n", + "print(car1.brand, car1.year)\n" + ] + }, + { + "cell_type": "code", + "source": [ + "#Your turn:\n", + "# Create another object car2 with brand \"Tesla\" and year 2023.\n", + "\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "5frI0xqrqcz2" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### 2️⃣ Add Methods 🛠\n", + "**Task:**\n", + "Add a method info() to Car that prints \"Brand: , Year: \"." + ], + "metadata": { + "id": "1WvafJpAqgkt" + } + }, + { + "cell_type": "code", + "source": [ + "# Example snippet\n", + "class Car:\n", + " def __init__(self, brand, year):\n", + " self.brand = brand\n", + " self.year = year\n", + "\n", + " def info(self):\n", + " print(f\"Brand: {self.brand}, Year: {self.year}\")\n", + "\n", + "car1 = Car(\"Toyota\", 2020)\n", + "car1.info()\n" + ], + "metadata": { + "id": "AJM4pVrzqfJP" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# Your turn:\n", + "# Call info() for car2.\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "qwuFw0CiqkM8" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### 3️⃣ Class vs Instance Attributes 📦\n", + "**Task:**\n", + "\n", + "* Add a class attribute wheels = 4 to Car.\n", + "\n", + "* Print car1.wheels and car2.wheels." + ], + "metadata": { + "id": "AOwBtvr0qosK" + } + }, + { + "cell_type": "code", + "source": [ + "# To do\n", + "\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "rPXvKwtsqm0C" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### 4️⃣ Inheritance 👑\n", + "**Task:**\n", + "\n", + "* Create a subclass ElectricCar inheriting from Car.\n", + "* Add a new attribute battery (e.g., \"80 kWh\") and a method battery_info() that prints \"Battery: \"." + ], + "metadata": { + "id": "NLoiaaeuquwg" + } + }, + { + "cell_type": "code", + "source": [ + "# Example snippet\n", + "class ElectricCar(Car):\n", + " def __init__(self, brand, year, battery):\n", + " ________.__init__(brand, year)\n", + " self.battery = battery\n", + "\n", + " def battery_info(self):\n", + " print(f\"Battery: {________.battery}\")\n", + "\n", + "e_car = ElectricCar(\"Tesla\", 2023, \"80 kWh\")\n", + "e_car.info()\n", + "e_car.battery_info()\n" + ], + "metadata": { + "id": "e_sS1YdIqtk_" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### 5️⃣ Bonus ⚡\n", + "* Add a __str__ method to Car to return a string like: \"Car(brand=Toyota, year=2020)\"." + ], + "metadata": { + "id": "wC0OIrRMq7jv" + } + }, + { + "cell_type": "code", + "source": [ + "# To do\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "cAfBWxrlrA2t" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file diff --git a/a0.1/a10/assignment_10_project_01_01_02_dataset___nexus___rsayyareh.ipynb b/a0.1/a10/assignment_10_project_01_01_02_dataset___nexus___rsayyareh.ipynb new file mode 100644 index 0000000..135eace --- /dev/null +++ b/a0.1/a10/assignment_10_project_01_01_02_dataset___nexus___rsayyareh.ipynb @@ -0,0 +1,389 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "5pY7aLZSZQM9" + }, + "source": [ + "# 🍷 Mini-Project: Merge & Explore the Wine Quality Datasets\n", + "\n", + "\n", + "> **Goal: Merge Wine Quality – Red and Wine Quality – White (UCI) into a single dataset, do a careful first-look exploration, and save the merged file to CSV.**\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "wpNpLMF8aX1s" + }, + "outputs": [], + "source": [ + "# === Requirements ===\n", + "# pip install pandas matplotlib\n", + "\n", + "import pandas as pd\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from pathlib import Path\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "ErqnxAGRaY_C" + }, + "outputs": [], + "source": [ + "# ---------- 1) Load ----------\n", + "URL_RED = \"https://archive.ics.uci.edu/ml/machine-learning-databases/wine-quality/winequality-red.csv\"\n", + "URL_WHITE = \"https://archive.ics.uci.edu/ml/machine-learning-databases/wine-quality/winequality-white.csv\"\n", + "\n", + "red = pd.read_csv(URL_RED, sep=\";\")\n", + "white = pd.read_csv(URL_WHITE, sep=\";\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "lVbxevgpabbF", + "outputId": "e6b61931-4441-4230-9fe4-a9de9a46d810" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Red shape: (1599, 12) White shape: (4898, 12)\n", + "Columns equal? -> True\n", + "Columns: ['fixed acidity', 'volatile acidity', 'citric acid', 'residual sugar', 'chlorides', 'free sulfur dioxide', 'total sulfur dioxide', 'density', 'pH', 'sulphates', 'alcohol', 'quality']\n" + ] + } + ], + "source": [ + "# ---------- 2) Sanity checks ----------\n", + "print(\"Red shape:\", red.shape, \"White shape:\", white.shape)\n", + "print(\"Columns equal? ->\", list(red.columns) == list(white.columns))\n", + "print(\"Columns:\", list(red.columns))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "5vV73isEadfQ" + }, + "outputs": [], + "source": [ + "# (Optional) strict schema assertion (search and read about assert in Python)\n", + "assert list(red.columns) == list(white.columns), \"Column mismatch between red and white datasets.\"\n" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "uVTeWORRakKq", + "outputId": "805c7e6c-e3a3-4ce1-d4d0-68da11927a13" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Merged shape: (6497, 13)\n" + ] + } + ], + "source": [ + "# ---------- 3) Tag source & merge ----------\n", + "red[\"type\"] = \"red\"\n", + "white[\"type\"] = \"white\"\n", + "\n", + "df = pd.concat([red, white], ignore_index=True)\n", + "print(\"\\nMerged shape:\", df.shape)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 634 + }, + "collapsed": true, + "id": "OsMo1KOhambz", + "outputId": "37dc1fe6-2733-422f-9ea5-4b238d79095e" + }, + "outputs": [], + "source": [ + "# ---------- 4) Basic exploration ----------\n", + "print(\"\\nDtypes:\\n\", df.dtypes)\n", + "print(\"\\nMissing values per column:\\n\", df.isnull().sum().sort_values(ascending=False))\n", + "print(\"\\nHead:\\n\", df.head())\n" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "ou0kWts-aopS", + "outputId": "c08ea4df-841b-45b9-b907-9ae2ebf63939" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Duplicate rows: [False True]\n", + "\n", + "Numeric summary:\n", + " count mean std min 25% \\\n", + "fixed acidity 6497.0 7.215307 1.296434 3.80000 6.40000 \n", + "volatile acidity 6497.0 0.339666 0.164636 0.08000 0.23000 \n", + "citric acid 6497.0 0.318633 0.145318 0.00000 0.25000 \n", + "residual sugar 6497.0 5.443235 4.757804 0.60000 1.80000 \n", + "chlorides 6497.0 0.056034 0.035034 0.00900 0.03800 \n", + "free sulfur dioxide 6497.0 30.525319 17.749400 1.00000 17.00000 \n", + "total sulfur dioxide 6497.0 115.744574 56.521855 6.00000 77.00000 \n", + "density 6497.0 0.994697 0.002999 0.98711 0.99234 \n", + "pH 6497.0 3.218501 0.160787 2.72000 3.11000 \n", + "sulphates 6497.0 0.531268 0.148806 0.22000 0.43000 \n", + "alcohol 6497.0 10.491801 1.192712 8.00000 9.50000 \n", + "quality 6497.0 5.818378 0.873255 3.00000 5.00000 \n", + "\n", + " 50% 75% max \n", + "fixed acidity 7.00000 7.70000 15.90000 \n", + "volatile acidity 0.29000 0.40000 1.58000 \n", + "citric acid 0.31000 0.39000 1.66000 \n", + "residual sugar 3.00000 8.10000 65.80000 \n", + "chlorides 0.04700 0.06500 0.61100 \n", + "free sulfur dioxide 29.00000 41.00000 289.00000 \n", + "total sulfur dioxide 118.00000 156.00000 440.00000 \n", + "density 0.99489 0.99699 1.03898 \n", + "pH 3.21000 3.32000 4.01000 \n", + "sulphates 0.51000 0.60000 2.00000 \n", + "alcohol 10.30000 11.30000 14.90000 \n", + "quality 6.00000 6.00000 9.00000 \n", + "\n", + "Quality distribution (overall):\n", + " 6497\n", + "\n", + "Quality distribution by type:\n", + " type\n", + "red 1599\n", + "white 4898\n", + "Name: quality, dtype: int64\n" + ] + } + ], + "source": [ + "# Uniqueness & duplicates\n", + "dup_count = df.duplicated().unique()\n", + "print(\"\\nDuplicate rows:\", dup_count)\n", + "\n", + "# Descriptive statistics (numeric)\n", + "num_cols = df.select_dtypes(include=[np.number]).columns\n", + "print(\"\\nNumeric summary:\\n\", df[num_cols].describe().T)\n", + "\n", + "# Target distributions\n", + "print(\"\\nQuality distribution (overall):\\n\", df[\"quality\"].count())\n", + "print(\"\\nQuality distribution by type:\\n\", df.groupby(\"type\")[\"quality\"].count().sort_index())\n" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 211 + }, + "id": "2Pa_iCVzaqzp", + "outputId": "6acac4cb-68ec-4bbf-caa1-2ef39263a8ca" + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# ---------- 5) A few simple visuals (optional for report) ----------\n", + "# Histograms of numeric features (quick feel for ranges & skew)\n", + "top_vars = df.columns\n", + "n = min(4, len(top_vars))\n", + "\n", + "\n", + "fig, axes = plt.subplots(1, 4, figsize=(16, 3), sharey=True)\n", + "\n", + "for i, ax in enumerate(axes):\n", + " if i < n:\n", + " col = top_vars[i]\n", + " ax.hist(df[col].dropna(), bins=30)\n", + " ax.set_title(f\"Histogram: {col}\")\n", + " ax.set_xlabel(col)\n", + " if i == 0:\n", + " ax.set_ylabel(\"Count\")\n", + " else:\n", + " ax.set_ylabel(\"\")\n", + " else:\n", + " ax.axis(\"off\") # hide unused panels if top_vars has < 4\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "id": "w9z9f2OMatLD" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Boxplot of quality by type (class distribution spread)\n", + "plt.figure()\n", + "df.boxplot(column=\"quality\", by=\"type\")\n", + "plt.suptitle(\"\")\n", + "plt.title(\"Quality by Wine Type\")\n", + "plt.xlabel(\"Type\")\n", + "plt.ylabel(\"Quality\")\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "id": "m9OZ2n2nawIP" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Correlation heatmap (numeric only)\n", + "corr = df[num_cols].corr()\n", + "plt.figure(figsize=(7, 6))\n", + "plt.imshow(corr, interpolation=\"nearest\")\n", + "plt.title(\"Correlation Heatmap\")\n", + "plt.colorbar()\n", + "plt.xticks(range(len(num_cols)), num_cols, rotation=90)\n", + "plt.yticks(range(len(num_cols)), num_cols)\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "id": "NHQPRTdLZI9R" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Saved merged file to: E:\\Nexus\\Nexus_Assignments\\a1.10\\outputs\\wine_quality_merged.csv\n", + "Reloaded shape: (6497, 13)\n" + ] + } + ], + "source": [ + "# ---------- 6) Save ----------\n", + "OUT_DIR = Path(\"./outputs\")\n", + "OUT_DIR.mkdir(parents=True, exist_ok=True)\n", + "out_file = OUT_DIR / \"wine_quality_merged.csv\"\n", + "df.to_csv(out_file, index=False)\n", + "print(f\"\\nSaved merged file to: {out_file.resolve()}\")\n", + "\n", + "# Quick verification of saved file\n", + "df_check = pd.read_csv(out_file)\n", + "print(\"Reloaded shape:\", df_check.shape)\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a11/Assignment_11_Project_02_01_03_04_Preprocessing___Nexus___rsayyareh.ipynb b/a0.1/a11/Assignment_11_Project_02_01_03_04_Preprocessing___Nexus___rsayyareh.ipynb new file mode 100644 index 0000000..3fd60c4 --- /dev/null +++ b/a0.1/a11/Assignment_11_Project_02_01_03_04_Preprocessing___Nexus___rsayyareh.ipynb @@ -0,0 +1,3544 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "h6pr9RxJiBKU" + }, + "source": [ + "# 🏠 Mini-Project: Preprocess & Engineer Features on Ames Housing Dataset\n", + "\n", + "> **Goal: Work with the [Ames Housing dataset](https://www.kaggle.com/datasets/prevek18/ames-housing-dataset?select=AmesHousing.csv) to perform data preprocessing and create meaningful new features. You will:**\n", + "> - Handle **missing values**, **duplicates**, and **outliers** \n", + "> - Detect and fix **skewness** in numerical features \n", + "> - Encode categorical variables into numeric formats \n", + "> - Create **non-linear features** (e.g., polynomial, log, interaction terms) from existing variables \n", + "> - Save the cleaned and enriched dataset into a new CSV file \n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project2_rezashokrzad.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7CksOccRjV4s" + }, + "source": [ + "## 🔹 Step 1: Load the Dataset\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Nlz-ZiyHgmQb", + "outputId": "a51aba43-8ab5-4793-e96b-45e1152a2ca5" + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\Parastoo\\AppData\\Local\\Temp\\ipykernel_15072\\1234441213.py:15: DeprecationWarning: Use dataset_load() instead of load_dataset(). load_dataset() will be removed in a future version.\n", + " df1 = kagglehub.load_dataset(\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "First 5 records: Order PID MS SubClass MS Zoning Lot Frontage Lot Area Street \\\n", + "0 1 526301100 20 RL 141.0 31770 Pave \n", + "1 2 526350040 20 RH 80.0 11622 Pave \n", + "2 3 526351010 20 RL 81.0 14267 Pave \n", + "3 4 526353030 20 RL 93.0 11160 Pave \n", + "4 5 527105010 60 RL 74.0 13830 Pave \n", + "\n", + " Alley Lot Shape Land Contour Utilities Lot Config Land Slope Neighborhood \\\n", + "0 NaN IR1 Lvl AllPub Corner Gtl NAmes \n", + "1 NaN Reg Lvl AllPub Inside Gtl NAmes \n", + "2 NaN IR1 Lvl AllPub Corner Gtl NAmes \n", + "3 NaN Reg Lvl AllPub Corner Gtl NAmes \n", + "4 NaN IR1 Lvl AllPub Inside Gtl Gilbert \n", + "\n", + " Condition 1 Condition 2 Bldg Type House Style Overall Qual Overall Cond \\\n", + "0 Norm Norm 1Fam 1Story 6 5 \n", + "1 Feedr Norm 1Fam 1Story 5 6 \n", + "2 Norm Norm 1Fam 1Story 6 6 \n", + "3 Norm Norm 1Fam 1Story 7 5 \n", + "4 Norm Norm 1Fam 2Story 5 5 \n", + "\n", + " Year Built Year Remod/Add Roof Style Roof Matl Exterior 1st Exterior 2nd \\\n", + "0 1960 1960 Hip CompShg BrkFace Plywood \n", + "1 1961 1961 Gable CompShg VinylSd VinylSd \n", + "2 1958 1958 Hip CompShg Wd Sdng Wd Sdng \n", + "3 1968 1968 Hip CompShg BrkFace BrkFace \n", + "4 1997 1998 Gable CompShg VinylSd VinylSd \n", + "\n", + " Mas Vnr Type Mas Vnr Area Exter Qual Exter Cond Foundation Bsmt Qual \\\n", + "0 Stone 112.0 TA TA CBlock TA \n", + "1 NaN 0.0 TA TA CBlock TA \n", + "2 BrkFace 108.0 TA TA CBlock TA \n", + "3 NaN 0.0 Gd TA CBlock TA \n", + "4 NaN 0.0 TA TA PConc Gd \n", + "\n", + " Bsmt Cond Bsmt Exposure BsmtFin Type 1 BsmtFin SF 1 BsmtFin Type 2 \\\n", + "0 Gd Gd BLQ 639.0 Unf \n", + "1 TA No Rec 468.0 LwQ \n", + "2 TA No ALQ 923.0 Unf \n", + "3 TA No ALQ 1065.0 Unf \n", + "4 TA No GLQ 791.0 Unf \n", + "\n", + " BsmtFin SF 2 Bsmt Unf SF Total Bsmt SF Heating Heating QC Central Air \\\n", + "0 0.0 441.0 1080.0 GasA Fa Y \n", + "1 144.0 270.0 882.0 GasA TA Y \n", + "2 0.0 406.0 1329.0 GasA TA Y \n", + "3 0.0 1045.0 2110.0 GasA Ex Y \n", + "4 0.0 137.0 928.0 GasA Gd Y \n", + "\n", + " Electrical 1st Flr SF 2nd Flr SF Low Qual Fin SF Gr Liv Area \\\n", + "0 SBrkr 1656 0 0 1656 \n", + "1 SBrkr 896 0 0 896 \n", + "2 SBrkr 1329 0 0 1329 \n", + "3 SBrkr 2110 0 0 2110 \n", + "4 SBrkr 928 701 0 1629 \n", + "\n", + " Bsmt Full Bath Bsmt Half Bath Full Bath Half Bath Bedroom AbvGr \\\n", + "0 1.0 0.0 1 0 3 \n", + "1 0.0 0.0 1 0 2 \n", + "2 0.0 0.0 1 1 3 \n", + "3 1.0 0.0 2 1 3 \n", + "4 0.0 0.0 2 1 3 \n", + "\n", + " Kitchen AbvGr Kitchen Qual TotRms AbvGrd Functional Fireplaces \\\n", + "0 1 TA 7 Typ 2 \n", + "1 1 TA 5 Typ 0 \n", + "2 1 Gd 6 Typ 0 \n", + "3 1 Ex 8 Typ 2 \n", + "4 1 TA 6 Typ 1 \n", + "\n", + " Fireplace Qu Garage Type Garage Yr Blt Garage Finish Garage Cars \\\n", + "0 Gd Attchd 1960.0 Fin 2.0 \n", + "1 NaN Attchd 1961.0 Unf 1.0 \n", + "2 NaN Attchd 1958.0 Unf 1.0 \n", + "3 TA Attchd 1968.0 Fin 2.0 \n", + "4 TA Attchd 1997.0 Fin 2.0 \n", + "\n", + " Garage Area Garage Qual Garage Cond Paved Drive Wood Deck SF \\\n", + "0 528.0 TA TA P 210 \n", + "1 730.0 TA TA Y 140 \n", + "2 312.0 TA TA Y 393 \n", + "3 522.0 TA TA Y 0 \n", + "4 482.0 TA TA Y 212 \n", + "\n", + " Open Porch SF Enclosed Porch 3Ssn Porch Screen Porch Pool Area Pool QC \\\n", + "0 62 0 0 0 0 NaN \n", + "1 0 0 0 120 0 NaN \n", + "2 36 0 0 0 0 NaN \n", + "3 0 0 0 0 0 NaN \n", + "4 34 0 0 0 0 NaN \n", + "\n", + " Fence Misc Feature Misc Val Mo Sold Yr Sold Sale Type Sale Condition \\\n", + "0 NaN NaN 0 5 2010 WD Normal \n", + "1 MnPrv NaN 0 6 2010 WD Normal \n", + "2 NaN Gar2 12500 6 2010 WD Normal \n", + "3 NaN NaN 0 4 2010 WD Normal \n", + "4 MnPrv NaN 0 3 2010 WD Normal \n", + "\n", + " SalePrice \n", + "0 215000 \n", + "1 105000 \n", + "2 172000 \n", + "3 244000 \n", + "4 189900 \n", + "Last 5 records: Order PID MS SubClass MS Zoning Lot Frontage Lot Area Street \\\n", + "2925 2926 923275080 80 RL 37.0 7937 Pave \n", + "2926 2927 923276100 20 RL NaN 8885 Pave \n", + "2927 2928 923400125 85 RL 62.0 10441 Pave \n", + "2928 2929 924100070 20 RL 77.0 10010 Pave \n", + "2929 2930 924151050 60 RL 74.0 9627 Pave \n", + "\n", + " Alley Lot Shape Land Contour Utilities Lot Config Land Slope \\\n", + "2925 NaN IR1 Lvl AllPub CulDSac Gtl \n", + "2926 NaN IR1 Low AllPub Inside Mod \n", + "2927 NaN Reg Lvl AllPub Inside Gtl \n", + "2928 NaN Reg Lvl AllPub Inside Mod \n", + "2929 NaN Reg Lvl AllPub Inside Mod \n", + "\n", + " Neighborhood Condition 1 Condition 2 Bldg Type House Style Overall Qual \\\n", + "2925 Mitchel Norm Norm 1Fam SLvl 6 \n", + "2926 Mitchel Norm Norm 1Fam 1Story 5 \n", + "2927 Mitchel Norm Norm 1Fam SFoyer 5 \n", + "2928 Mitchel Norm Norm 1Fam 1Story 5 \n", + "2929 Mitchel Norm Norm 1Fam 2Story 7 \n", + "\n", + " Overall Cond Year Built Year Remod/Add Roof Style Roof Matl \\\n", + "2925 6 1984 1984 Gable CompShg \n", + "2926 5 1983 1983 Gable CompShg \n", + "2927 5 1992 1992 Gable CompShg \n", + "2928 5 1974 1975 Gable CompShg \n", + "2929 5 1993 1994 Gable CompShg \n", + "\n", + " Exterior 1st Exterior 2nd Mas Vnr Type Mas Vnr Area Exter Qual \\\n", + "2925 HdBoard HdBoard NaN 0.0 TA \n", + "2926 HdBoard HdBoard NaN 0.0 TA \n", + "2927 HdBoard Wd Shng NaN 0.0 TA \n", + "2928 HdBoard HdBoard NaN 0.0 TA \n", + "2929 HdBoard HdBoard BrkFace 94.0 TA \n", + "\n", + " Exter Cond Foundation Bsmt Qual Bsmt Cond Bsmt Exposure BsmtFin Type 1 \\\n", + "2925 TA CBlock TA TA Av GLQ \n", + "2926 TA CBlock Gd TA Av BLQ \n", + "2927 TA PConc Gd TA Av GLQ \n", + "2928 TA CBlock Gd TA Av ALQ \n", + "2929 TA PConc Gd TA Av LwQ \n", + "\n", + " BsmtFin SF 1 BsmtFin Type 2 BsmtFin SF 2 Bsmt Unf SF Total Bsmt SF \\\n", + "2925 819.0 Unf 0.0 184.0 1003.0 \n", + "2926 301.0 ALQ 324.0 239.0 864.0 \n", + "2927 337.0 Unf 0.0 575.0 912.0 \n", + "2928 1071.0 LwQ 123.0 195.0 1389.0 \n", + "2929 758.0 Unf 0.0 238.0 996.0 \n", + "\n", + " Heating Heating QC Central Air Electrical 1st Flr SF 2nd Flr SF \\\n", + "2925 GasA TA Y SBrkr 1003 0 \n", + "2926 GasA TA Y SBrkr 902 0 \n", + "2927 GasA TA Y SBrkr 970 0 \n", + "2928 GasA Gd Y SBrkr 1389 0 \n", + "2929 GasA Ex Y SBrkr 996 1004 \n", + "\n", + " Low Qual Fin SF Gr Liv Area Bsmt Full Bath Bsmt Half Bath Full Bath \\\n", + "2925 0 1003 1.0 0.0 1 \n", + "2926 0 902 1.0 0.0 1 \n", + "2927 0 970 0.0 1.0 1 \n", + "2928 0 1389 1.0 0.0 1 \n", + "2929 0 2000 0.0 0.0 2 \n", + "\n", + " Half Bath Bedroom AbvGr Kitchen AbvGr Kitchen Qual TotRms AbvGrd \\\n", + "2925 0 3 1 TA 6 \n", + "2926 0 2 1 TA 5 \n", + "2927 0 3 1 TA 6 \n", + "2928 0 2 1 TA 6 \n", + "2929 1 3 1 TA 9 \n", + "\n", + " Functional Fireplaces Fireplace Qu Garage Type Garage Yr Blt \\\n", + "2925 Typ 0 NaN Detchd 1984.0 \n", + "2926 Typ 0 NaN Attchd 1983.0 \n", + "2927 Typ 0 NaN NaN NaN \n", + "2928 Typ 1 TA Attchd 1975.0 \n", + "2929 Typ 1 TA Attchd 1993.0 \n", + "\n", + " Garage Finish Garage Cars Garage Area Garage Qual Garage Cond \\\n", + "2925 Unf 2.0 588.0 TA TA \n", + "2926 Unf 2.0 484.0 TA TA \n", + "2927 NaN 0.0 0.0 NaN NaN \n", + "2928 RFn 2.0 418.0 TA TA \n", + "2929 Fin 3.0 650.0 TA TA \n", + "\n", + " Paved Drive Wood Deck SF Open Porch SF Enclosed Porch 3Ssn Porch \\\n", + "2925 Y 120 0 0 0 \n", + "2926 Y 164 0 0 0 \n", + "2927 Y 80 32 0 0 \n", + "2928 Y 240 38 0 0 \n", + "2929 Y 190 48 0 0 \n", + "\n", + " Screen Porch Pool Area Pool QC Fence Misc Feature Misc Val Mo Sold \\\n", + "2925 0 0 NaN GdPrv NaN 0 3 \n", + "2926 0 0 NaN MnPrv NaN 0 6 \n", + "2927 0 0 NaN MnPrv Shed 700 7 \n", + "2928 0 0 NaN NaN NaN 0 4 \n", + "2929 0 0 NaN NaN NaN 0 11 \n", + "\n", + " Yr Sold Sale Type Sale Condition SalePrice \n", + "2925 2006 WD Normal 142500 \n", + "2926 2006 WD Normal 131000 \n", + "2927 2006 WD Normal 132000 \n", + "2928 2006 WD Normal 170000 \n", + "2929 2006 WD Normal 188000 \n" + ] + } + ], + "source": [ + "# TODO: Load the Ames Housing dataset into a DataFrame.\n", + "# Hint: The dataset is available on Kaggle (\"Ames Housing\").\n", + "# After loading, display the first and last 5 rows to check if it worked.\n", + "\n", + "# Install dependencies as needed:\n", + "# pip install kagglehub[pandas-datasets]\n", + "import kagglehub\n", + "from kagglehub import KaggleDatasetAdapter\n", + "import pandas as pd\n", + "\n", + "# Set the path to the file you'd like to load\n", + "file_path = \"AmesHousing.csv\"\n", + "\n", + "# Load the latest version\n", + "df1 = kagglehub.load_dataset(\n", + " KaggleDatasetAdapter.PANDAS,\n", + " \"prevek18/ames-housing-dataset\",\n", + " file_path,\n", + " # Provide any additional arguments like\n", + " # sql_query or pandas_kwargs. See the\n", + " # documenation for more information:\n", + " # https://github.com/Kaggle/kagglehub/blob/main/README.md#kaggledatasetadapterpandas\n", + ")\n", + "\n", + "pd.set_option('display.max_columns', None)\n", + "\n", + "print(\"First 5 records:\", df1.head())\n", + "print(\"Last 5 records:\", df1.tail())" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "OdX7swaujg_u" + }, + "source": [ + "## 🔹 Step 2: Exploratory Data Review (EDR)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "DMYRBPWWjgpo", + "outputId": "6eedee8f-e54b-41a9-9ff6-1bee3288b30f" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Shape: (2930, 82)\n", + "Columns Name: Index(['Order', 'PID', 'MS SubClass', 'MS Zoning', 'Lot Frontage', 'Lot Area',\n", + " 'Street', 'Alley', 'Lot Shape', 'Land Contour', 'Utilities',\n", + " 'Lot Config', 'Land Slope', 'Neighborhood', 'Condition 1',\n", + " 'Condition 2', 'Bldg Type', 'House Style', 'Overall Qual',\n", + " 'Overall Cond', 'Year Built', 'Year Remod/Add', 'Roof Style',\n", + " 'Roof Matl', 'Exterior 1st', 'Exterior 2nd', 'Mas Vnr Type',\n", + " 'Mas Vnr Area', 'Exter Qual', 'Exter Cond', 'Foundation', 'Bsmt Qual',\n", + " 'Bsmt Cond', 'Bsmt Exposure', 'BsmtFin Type 1', 'BsmtFin SF 1',\n", + " 'BsmtFin Type 2', 'BsmtFin SF 2', 'Bsmt Unf SF', 'Total Bsmt SF',\n", + " 'Heating', 'Heating QC', 'Central Air', 'Electrical', '1st Flr SF',\n", + " '2nd Flr SF', 'Low Qual Fin SF', 'Gr Liv Area', 'Bsmt Full Bath',\n", + " 'Bsmt Half Bath', 'Full Bath', 'Half Bath', 'Bedroom AbvGr',\n", + " 'Kitchen AbvGr', 'Kitchen Qual', 'TotRms AbvGrd', 'Functional',\n", + " 'Fireplaces', 'Fireplace Qu', 'Garage Type', 'Garage Yr Blt',\n", + " 'Garage Finish', 'Garage Cars', 'Garage Area', 'Garage Qual',\n", + " 'Garage Cond', 'Paved Drive', 'Wood Deck SF', 'Open Porch SF',\n", + " 'Enclosed Porch', '3Ssn Porch', 'Screen Porch', 'Pool Area', 'Pool QC',\n", + " 'Fence', 'Misc Feature', 'Misc Val', 'Mo Sold', 'Yr Sold', 'Sale Type',\n", + " 'Sale Condition', 'SalePrice'],\n", + " dtype='object')\n", + "Sample of Records: \n", + "\n", + "RangeIndex: 2930 entries, 0 to 2929\n", + "Data columns (total 82 columns):\n", + " # Column Non-Null Count Dtype \n", + "--- ------ -------------- ----- \n", + " 0 Order 2930 non-null int64 \n", + " 1 PID 2930 non-null int64 \n", + " 2 MS SubClass 2930 non-null int64 \n", + " 3 MS Zoning 2930 non-null object \n", + " 4 Lot Frontage 2440 non-null float64\n", + " 5 Lot Area 2930 non-null int64 \n", + " 6 Street 2930 non-null object \n", + " 7 Alley 198 non-null object \n", + " 8 Lot Shape 2930 non-null object \n", + " 9 Land Contour 2930 non-null object \n", + " 10 Utilities 2930 non-null object \n", + " 11 Lot Config 2930 non-null object \n", + " 12 Land Slope 2930 non-null object \n", + " 13 Neighborhood 2930 non-null object \n", + " 14 Condition 1 2930 non-null object \n", + " 15 Condition 2 2930 non-null object \n", + " 16 Bldg Type 2930 non-null object \n", + " 17 House Style 2930 non-null object \n", + " 18 Overall Qual 2930 non-null int64 \n", + " 19 Overall Cond 2930 non-null int64 \n", + " 20 Year Built 2930 non-null int64 \n", + " 21 Year Remod/Add 2930 non-null int64 \n", + " 22 Roof Style 2930 non-null object \n", + " 23 Roof Matl 2930 non-null object \n", + " 24 Exterior 1st 2930 non-null object \n", + " 25 Exterior 2nd 2930 non-null object \n", + " 26 Mas Vnr Type 1155 non-null object \n", + " 27 Mas Vnr Area 2907 non-null float64\n", + " 28 Exter Qual 2930 non-null object \n", + " 29 Exter Cond 2930 non-null object \n", + " 30 Foundation 2930 non-null object \n", + " 31 Bsmt Qual 2850 non-null object \n", + " 32 Bsmt Cond 2850 non-null object \n", + " 33 Bsmt Exposure 2847 non-null object \n", + " 34 BsmtFin Type 1 2850 non-null object \n", + " 35 BsmtFin SF 1 2929 non-null float64\n", + " 36 BsmtFin Type 2 2849 non-null object \n", + " 37 BsmtFin SF 2 2929 non-null float64\n", + " 38 Bsmt Unf SF 2929 non-null float64\n", + " 39 Total Bsmt SF 2929 non-null float64\n", + " 40 Heating 2930 non-null object \n", + " 41 Heating QC 2930 non-null object \n", + " 42 Central Air 2930 non-null object \n", + " 43 Electrical 2929 non-null object \n", + " 44 1st Flr SF 2930 non-null int64 \n", + " 45 2nd Flr SF 2930 non-null int64 \n", + " 46 Low Qual Fin SF 2930 non-null int64 \n", + " 47 Gr Liv Area 2930 non-null int64 \n", + " 48 Bsmt Full Bath 2928 non-null float64\n", + " 49 Bsmt Half Bath 2928 non-null float64\n", + " 50 Full Bath 2930 non-null int64 \n", + " 51 Half Bath 2930 non-null int64 \n", + " 52 Bedroom AbvGr 2930 non-null int64 \n", + " 53 Kitchen AbvGr 2930 non-null int64 \n", + " 54 Kitchen Qual 2930 non-null object \n", + " 55 TotRms AbvGrd 2930 non-null int64 \n", + " 56 Functional 2930 non-null object \n", + " 57 Fireplaces 2930 non-null int64 \n", + " 58 Fireplace Qu 1508 non-null object \n", + " 59 Garage Type 2773 non-null object \n", + " 60 Garage Yr Blt 2771 non-null float64\n", + " 61 Garage Finish 2771 non-null object \n", + " 62 Garage Cars 2929 non-null float64\n", + " 63 Garage Area 2929 non-null float64\n", + " 64 Garage Qual 2771 non-null object \n", + " 65 Garage Cond 2771 non-null object \n", + " 66 Paved Drive 2930 non-null object \n", + " 67 Wood Deck SF 2930 non-null int64 \n", + " 68 Open Porch SF 2930 non-null int64 \n", + " 69 Enclosed Porch 2930 non-null int64 \n", + " 70 3Ssn Porch 2930 non-null int64 \n", + " 71 Screen Porch 2930 non-null int64 \n", + " 72 Pool Area 2930 non-null int64 \n", + " 73 Pool QC 13 non-null object \n", + " 74 Fence 572 non-null object \n", + " 75 Misc Feature 106 non-null object \n", + " 76 Misc Val 2930 non-null int64 \n", + " 77 Mo Sold 2930 non-null int64 \n", + " 78 Yr Sold 2930 non-null int64 \n", + " 79 Sale Type 2930 non-null object \n", + " 80 Sale Condition 2930 non-null object \n", + " 81 SalePrice 2930 non-null int64 \n", + "dtypes: float64(11), int64(28), object(43)\n", + "memory usage: 1.8+ MB\n", + " Order PID MS SubClass Lot Frontage Lot Area \\\n", + "count 2930.00000 2.930000e+03 2930.000000 2440.000000 2930.000000 \n", + "mean 1465.50000 7.144645e+08 57.387372 69.224590 10147.921843 \n", + "std 845.96247 1.887308e+08 42.638025 23.365335 7880.017759 \n", + "min 1.00000 5.263011e+08 20.000000 21.000000 1300.000000 \n", + "25% 733.25000 5.284770e+08 20.000000 58.000000 7440.250000 \n", + "50% 1465.50000 5.354536e+08 50.000000 68.000000 9436.500000 \n", + "75% 2197.75000 9.071811e+08 70.000000 80.000000 11555.250000 \n", + "max 2930.00000 1.007100e+09 190.000000 313.000000 215245.000000 \n", + "\n", + " Overall Qual Overall Cond Year Built Year Remod/Add Mas Vnr Area \\\n", + "count 2930.000000 2930.000000 2930.000000 2930.000000 2907.000000 \n", + "mean 6.094881 5.563140 1971.356314 1984.266553 101.896801 \n", + "std 1.411026 1.111537 30.245361 20.860286 179.112611 \n", + "min 1.000000 1.000000 1872.000000 1950.000000 0.000000 \n", + "25% 5.000000 5.000000 1954.000000 1965.000000 0.000000 \n", + "50% 6.000000 5.000000 1973.000000 1993.000000 0.000000 \n", + "75% 7.000000 6.000000 2001.000000 2004.000000 164.000000 \n", + "max 10.000000 9.000000 2010.000000 2010.000000 1600.000000 \n", + "\n", + " BsmtFin SF 1 BsmtFin SF 2 Bsmt Unf SF Total Bsmt SF 1st Flr SF \\\n", + "count 2929.000000 2929.000000 2929.000000 2929.000000 2930.000000 \n", + "mean 442.629566 49.722431 559.262547 1051.614544 1159.557679 \n", + "std 455.590839 169.168476 439.494153 440.615067 391.890885 \n", + "min 0.000000 0.000000 0.000000 0.000000 334.000000 \n", + "25% 0.000000 0.000000 219.000000 793.000000 876.250000 \n", + "50% 370.000000 0.000000 466.000000 990.000000 1084.000000 \n", + "75% 734.000000 0.000000 802.000000 1302.000000 1384.000000 \n", + "max 5644.000000 1526.000000 2336.000000 6110.000000 5095.000000 \n", + "\n", + " 2nd Flr SF Low Qual Fin SF Gr Liv Area Bsmt Full Bath \\\n", + "count 2930.000000 2930.000000 2930.000000 2928.000000 \n", + "mean 335.455973 4.676792 1499.690444 0.431352 \n", + "std 428.395715 46.310510 505.508887 0.524820 \n", + "min 0.000000 0.000000 334.000000 0.000000 \n", + "25% 0.000000 0.000000 1126.000000 0.000000 \n", + "50% 0.000000 0.000000 1442.000000 0.000000 \n", + "75% 703.750000 0.000000 1742.750000 1.000000 \n", + "max 2065.000000 1064.000000 5642.000000 3.000000 \n", + "\n", + " Bsmt Half Bath Full Bath Half Bath Bedroom AbvGr Kitchen AbvGr \\\n", + "count 2928.000000 2930.000000 2930.000000 2930.000000 2930.000000 \n", + "mean 0.061134 1.566553 0.379522 2.854266 1.044369 \n", + "std 0.245254 0.552941 0.502629 0.827731 0.214076 \n", + "min 0.000000 0.000000 0.000000 0.000000 0.000000 \n", + "25% 0.000000 1.000000 0.000000 2.000000 1.000000 \n", + "50% 0.000000 2.000000 0.000000 3.000000 1.000000 \n", + "75% 0.000000 2.000000 1.000000 3.000000 1.000000 \n", + "max 2.000000 4.000000 2.000000 8.000000 3.000000 \n", + "\n", + " TotRms AbvGrd Fireplaces Garage Yr Blt Garage Cars Garage Area \\\n", + "count 2930.000000 2930.000000 2771.000000 2929.000000 2929.000000 \n", + "mean 6.443003 0.599317 1978.132443 1.766815 472.819734 \n", + "std 1.572964 0.647921 25.528411 0.760566 215.046549 \n", + "min 2.000000 0.000000 1895.000000 0.000000 0.000000 \n", + "25% 5.000000 0.000000 1960.000000 1.000000 320.000000 \n", + "50% 6.000000 1.000000 1979.000000 2.000000 480.000000 \n", + "75% 7.000000 1.000000 2002.000000 2.000000 576.000000 \n", + "max 15.000000 4.000000 2207.000000 5.000000 1488.000000 \n", + "\n", + " Wood Deck SF Open Porch SF Enclosed Porch 3Ssn Porch Screen Porch \\\n", + "count 2930.000000 2930.000000 2930.000000 2930.000000 2930.000000 \n", + "mean 93.751877 47.533447 23.011604 2.592491 16.002048 \n", + "std 126.361562 67.483400 64.139059 25.141331 56.087370 \n", + "min 0.000000 0.000000 0.000000 0.000000 0.000000 \n", + "25% 0.000000 0.000000 0.000000 0.000000 0.000000 \n", + "50% 0.000000 27.000000 0.000000 0.000000 0.000000 \n", + "75% 168.000000 70.000000 0.000000 0.000000 0.000000 \n", + "max 1424.000000 742.000000 1012.000000 508.000000 576.000000 \n", + "\n", + " Pool Area Misc Val Mo Sold Yr Sold SalePrice \n", + "count 2930.000000 2930.000000 2930.000000 2930.000000 2930.000000 \n", + "mean 2.243345 50.635154 6.216041 2007.790444 180796.060068 \n", + "std 35.597181 566.344288 2.714492 1.316613 79886.692357 \n", + "min 0.000000 0.000000 1.000000 2006.000000 12789.000000 \n", + "25% 0.000000 0.000000 4.000000 2007.000000 129500.000000 \n", + "50% 0.000000 0.000000 6.000000 2008.000000 160000.000000 \n", + "75% 0.000000 0.000000 8.000000 2009.000000 213500.000000 \n", + "max 800.000000 17000.000000 12.000000 2010.000000 755000.000000 \n", + " MS Zoning Street Alley Lot Shape Land Contour Utilities Lot Config \\\n", + "count 2930 2930 198 2930 2930 2930 2930 \n", + "unique 7 2 2 4 4 3 5 \n", + "top RL Pave Grvl Reg Lvl AllPub Inside \n", + "freq 2273 2918 120 1859 2633 2927 2140 \n", + "\n", + " Land Slope Neighborhood Condition 1 Condition 2 Bldg Type House Style \\\n", + "count 2930 2930 2930 2930 2930 2930 \n", + "unique 3 28 9 8 5 8 \n", + "top Gtl NAmes Norm Norm 1Fam 1Story \n", + "freq 2789 443 2522 2900 2425 1481 \n", + "\n", + " Roof Style Roof Matl Exterior 1st Exterior 2nd Mas Vnr Type Exter Qual \\\n", + "count 2930 2930 2930 2930 1155 2930 \n", + "unique 6 8 16 17 4 4 \n", + "top Gable CompShg VinylSd VinylSd BrkFace TA \n", + "freq 2321 2887 1026 1015 880 1799 \n", + "\n", + " Exter Cond Foundation Bsmt Qual Bsmt Cond Bsmt Exposure BsmtFin Type 1 \\\n", + "count 2930 2930 2850 2850 2847 2850 \n", + "unique 5 6 5 5 4 6 \n", + "top TA PConc TA TA No GLQ \n", + "freq 2549 1310 1283 2616 1906 859 \n", + "\n", + " BsmtFin Type 2 Heating Heating QC Central Air Electrical Kitchen Qual \\\n", + "count 2849 2930 2930 2930 2929 2930 \n", + "unique 6 6 5 2 5 5 \n", + "top Unf GasA Ex Y SBrkr TA \n", + "freq 2499 2885 1495 2734 2682 1494 \n", + "\n", + " Functional Fireplace Qu Garage Type Garage Finish Garage Qual \\\n", + "count 2930 1508 2773 2771 2771 \n", + "unique 8 5 6 3 5 \n", + "top Typ Gd Attchd Unf TA \n", + "freq 2728 744 1731 1231 2615 \n", + "\n", + " Garage Cond Paved Drive Pool QC Fence Misc Feature Sale Type \\\n", + "count 2771 2930 13 572 106 2930 \n", + "unique 5 3 4 4 5 10 \n", + "top TA Y Ex MnPrv Shed WD \n", + "freq 2665 2652 4 330 95 2536 \n", + "\n", + " Sale Condition \n", + "count 2930 \n", + "unique 6 \n", + "top Normal \n", + "freq 2413 \n", + "Order: [ 1 2 3 ... 2928 2929 2930]\n", + "PID: [526301100 526350040 526351010 ... 923400125 924100070 924151050]\n", + "MS SubClass: [ 20 60 120 50 85 160 80 30 90 190 45 70 75 40 180 150]\n", + "MS Zoning: ['RL' 'RH' 'FV' 'RM' 'C (all)' 'I (all)' 'A (agr)']\n", + "Lot Frontage: [141. 80. 81. 93. 74. 78. 41. 43. 39. 60. 75. nan 63. 85.\n", + " 47. 152. 88. 140. 105. 65. 70. 26. 21. 53. 24. 102. 98. 83.\n", + " 94. 95. 90. 79. 100. 44. 110. 61. 36. 67. 108. 59. 92. 58.\n", + " 56. 73. 72. 84. 76. 50. 55. 68. 107. 25. 30. 57. 40. 77.\n", + " 120. 137. 87. 119. 64. 96. 71. 69. 52. 51. 54. 86. 124. 82.\n", + " 38. 48. 89. 66. 45. 35. 129. 31. 42. 28. 99. 104. 97. 103.\n", + " 34. 117. 149. 122. 62. 174. 106. 112. 32. 115. 128. 91. 33. 121.\n", + " 144. 130. 109. 150. 113. 125. 101. 46. 114. 135. 136. 37. 22. 313.\n", + " 49. 123. 160. 195. 118. 134. 182. 116. 138. 155. 126. 200. 168. 111.\n", + " 131. 153. 133.]\n", + "Lot Area: [31770 11622 14267 ... 7937 8885 10441]\n", + "Street: ['Pave' 'Grvl']\n", + "Alley: [nan 'Pave' 'Grvl']\n", + "Lot Shape: ['IR1' 'Reg' 'IR2' 'IR3']\n", + "Land Contour: ['Lvl' 'HLS' 'Bnk' 'Low']\n", + "Utilities: ['AllPub' 'NoSewr' 'NoSeWa']\n", + "Lot Config: ['Corner' 'Inside' 'CulDSac' 'FR2' 'FR3']\n", + "Land Slope: ['Gtl' 'Mod' 'Sev']\n", + "Neighborhood: ['NAmes' 'Gilbert' 'StoneBr' 'NWAmes' 'Somerst' 'BrDale' 'NPkVill'\n", + " 'NridgHt' 'Blmngtn' 'NoRidge' 'SawyerW' 'Sawyer' 'Greens' 'BrkSide'\n", + " 'OldTown' 'IDOTRR' 'ClearCr' 'SWISU' 'Edwards' 'CollgCr' 'Crawfor'\n", + " 'Blueste' 'Mitchel' 'Timber' 'MeadowV' 'Veenker' 'GrnHill' 'Landmrk']\n", + "Condition 1: ['Norm' 'Feedr' 'PosN' 'RRNe' 'RRAe' 'Artery' 'PosA' 'RRAn' 'RRNn']\n", + "Condition 2: ['Norm' 'Feedr' 'PosA' 'PosN' 'Artery' 'RRNn' 'RRAe' 'RRAn']\n", + "Bldg Type: ['1Fam' 'TwnhsE' 'Twnhs' 'Duplex' '2fmCon']\n", + "House Style: ['1Story' '2Story' '1.5Fin' 'SFoyer' 'SLvl' '2.5Unf' '1.5Unf' '2.5Fin']\n", + "Overall Qual: [ 6 5 7 8 9 4 3 2 10 1]\n", + "Overall Cond: [5 6 7 2 8 4 9 3 1]\n", + "Year Built: [1960 1961 1958 1968 1997 1998 2001 1992 1995 1999 1993 1990 1985 2003\n", + " 1988 2010 1951 1978 1977 1974 2000 1970 1971 1975 2009 2007 2005 2004\n", + " 2002 2006 1996 1994 2008 1980 1979 1984 1920 1965 1967 1963 1962 1976\n", + " 1972 1966 1959 1964 1950 1952 1949 1940 1954 1955 1957 1956 1953 1948\n", + " 1900 1910 1927 1915 1945 1929 1938 1923 1928 1890 1885 1922 1925 1939\n", + " 1942 1936 1930 1921 1912 1917 1907 1875 1969 1947 1946 1987 1941 1924\n", + " 1914 1931 1919 1989 1896 1973 1991 1981 1986 1916 1926 1935 1892 1898\n", + " 1880 1882 1937 1902 1934 1982 1983 1932 1918 1904 1905 1872 1893 1906\n", + " 1908 1911 1895 1879 1901 1913]\n", + "Year Remod/Add: [1960 1961 1958 1968 1998 2001 1992 1996 1999 1994 2007 1990 1985 2003\n", + " 2005 2010 1951 1988 1977 1974 2000 1970 2008 1971 1975 1978 2006 2004\n", + " 2002 1995 2009 1980 1979 1984 1981 1950 1967 1963 1993 1966 1959 1964\n", + " 1954 1972 1989 1957 1956 1952 1955 1962 1997 1965 1969 1987 1976 1991\n", + " 1973 1986 1983 1953 1982]\n", + "Roof Style: ['Hip' 'Gable' 'Mansard' 'Gambrel' 'Shed' 'Flat']\n", + "Roof Matl: ['CompShg' 'WdShake' 'Tar&Grv' 'WdShngl' 'Membran' 'ClyTile' 'Roll'\n", + " 'Metal']\n", + "Exterior 1st: ['BrkFace' 'VinylSd' 'Wd Sdng' 'CemntBd' 'HdBoard' 'Plywood' 'MetalSd'\n", + " 'AsbShng' 'WdShing' 'Stucco' 'AsphShn' 'BrkComm' 'CBlock' 'PreCast'\n", + " 'Stone' 'ImStucc']\n", + "Exterior 2nd: ['Plywood' 'VinylSd' 'Wd Sdng' 'BrkFace' 'CmentBd' 'HdBoard' 'Wd Shng'\n", + " 'MetalSd' 'ImStucc' 'Brk Cmn' 'AsbShng' 'Stucco' 'AsphShn' 'CBlock'\n", + " 'Stone' 'PreCast' 'Other']\n", + "Mas Vnr Type: ['Stone' nan 'BrkFace' 'BrkCmn' 'CBlock']\n", + "Mas Vnr Area: [1.120e+02 0.000e+00 1.080e+02 2.000e+01 6.030e+02 3.500e+02 1.190e+02\n", + " 4.800e+02 8.100e+01 1.800e+02 5.040e+02 4.920e+02 3.810e+02 1.620e+02\n", + " 2.000e+02 4.500e+02 2.560e+02 2.260e+02 6.150e+02 2.400e+02 1.680e+02\n", + " 7.600e+02 1.280e+02 1.095e+03 2.320e+02 4.120e+02 1.780e+02 1.060e+02\n", + " 1.400e+01 1.600e+01 nan 1.650e+02 1.140e+02 3.380e+02 3.620e+02\n", + " 3.480e+02 3.000e+01 5.790e+02 3.600e+01 1.220e+02 1.300e+02 3.100e+01\n", + " 2.500e+02 1.200e+02 2.160e+02 4.320e+02 1.159e+03 2.890e+02 2.800e+01\n", + " 4.200e+01 1.720e+02 4.510e+02 2.680e+02 8.600e+01 1.560e+02 1.440e+02\n", + " 2.650e+02 3.400e+02 1.100e+02 1.640e+02 3.610e+02 2.870e+02 5.060e+02\n", + " 1.500e+02 2.200e+02 3.240e+02 9.100e+01 1.040e+02 3.000e+02 2.610e+02\n", + " 2.180e+02 3.510e+02 7.710e+02 2.940e+02 9.000e+01 7.200e+01 4.700e+01\n", + " 1.430e+02 3.280e+02 2.880e+02 9.600e+01 3.360e+02 1.770e+02 8.500e+01\n", + " 2.460e+02 2.400e+01 8.000e+01 1.160e+02 1.530e+02 3.200e+02 4.790e+02\n", + " 2.230e+02 4.420e+02 1.700e+02 1.690e+02 1.710e+02 1.090e+02 9.800e+01\n", + " 1.450e+02 2.030e+02 3.710e+02 4.300e+02 4.400e+01 1.860e+02 3.350e+02\n", + " 6.000e+01 8.400e+01 1.890e+02 4.400e+02 1.880e+02 3.200e+01 1.600e+02\n", + " 2.200e+01 4.000e+01 6.800e+01 4.500e+01 3.440e+02 7.480e+02 4.640e+02\n", + " 1.570e+02 2.780e+02 2.090e+02 1.260e+02 1.010e+02 2.290e+02 2.250e+02\n", + " 2.060e+02 1.610e+02 1.960e+02 1.740e+02 3.330e+02 7.600e+01 3.120e+02\n", + " 1.420e+02 4.250e+02 5.100e+02 2.300e+02 7.260e+02 8.600e+02 6.400e+02\n", + " 3.060e+02 1.540e+02 3.050e+02 4.200e+02 4.720e+02 4.240e+02 3.020e+02\n", + " 2.380e+02 2.840e+02 2.620e+02 2.850e+02 2.960e+02 4.180e+02 9.220e+02\n", + " 7.240e+02 3.830e+02 1.350e+02 1.760e+02 1.660e+02 7.300e+02 4.700e+02\n", + " 3.080e+02 5.000e+02 2.700e+02 1.630e+02 1.100e+01 2.100e+02 2.980e+02\n", + " 6.730e+02 7.310e+02 9.750e+02 9.210e+02 6.340e+02 2.860e+02 3.720e+02\n", + " 5.280e+02 1.940e+02 2.600e+02 1.980e+02 1.210e+02 1.000e+02 2.640e+02\n", + " 1.400e+02 1.320e+02 3.660e+02 1.410e+02 1.150e+02 2.800e+02 2.520e+02\n", + " 8.940e+02 5.130e+02 4.560e+02 5.710e+02 3.590e+02 2.830e+02 3.600e+02\n", + " 5.090e+02 7.000e+01 9.500e+01 2.170e+02 3.000e+00 2.470e+02 5.760e+02\n", + " 1.830e+02 3.990e+02 6.500e+02 6.570e+02 2.950e+02 3.680e+02 8.200e+01\n", + " 1.240e+02 4.440e+02 9.200e+01 8.900e+01 2.300e+01 5.400e+01 1.490e+02\n", + " 2.340e+02 1.370e+02 2.750e+02 2.420e+02 3.640e+02 3.520e+02 1.360e+02\n", + " 2.040e+02 5.730e+02 2.550e+02 7.400e+01 2.590e+02 8.800e+01 5.410e+02\n", + " 4.060e+02 3.100e+02 5.840e+02 2.900e+02 1.820e+02 7.500e+01 2.450e+02\n", + " 1.230e+02 1.020e+02 6.210e+02 6.600e+02 4.020e+02 1.580e+02 4.220e+02\n", + " 1.270e+02 6.040e+02 3.560e+02 6.500e+01 4.260e+02 2.720e+02 8.160e+02\n", + " 4.360e+02 5.540e+02 4.680e+02 6.800e+02 6.640e+02 2.920e+02 1.110e+03\n", + " 2.210e+02 7.660e+02 6.160e+02 7.140e+02 1.460e+02 3.180e+02 6.470e+02\n", + " 1.290e+03 4.730e+02 4.950e+02 4.660e+02 6.510e+02 4.480e+02 5.300e+01\n", + " 7.680e+02 3.800e+01 2.580e+02 3.040e+02 5.680e+02 1.790e+02 2.120e+02\n", + " 1.050e+03 5.640e+02 3.420e+02 1.480e+02 2.430e+02 4.910e+02 2.370e+02\n", + " 4.100e+02 1.510e+02 1.870e+02 3.870e+02 5.200e+01 1.250e+02 2.760e+02\n", + " 4.150e+02 3.900e+01 4.100e+01 2.990e+02 9.900e+01 1.900e+02 2.510e+02\n", + " 2.810e+02 2.270e+02 2.020e+02 3.960e+02 1.340e+02 1.920e+02 2.050e+02\n", + " 2.150e+02 1.130e+02 5.000e+01 2.660e+02 1.470e+02 2.220e+02 7.960e+02\n", + " 5.800e+01 6.320e+02 6.680e+02 2.280e+02 2.190e+02 6.740e+02 1.970e+02\n", + " 1.115e+03 1.380e+02 7.100e+02 9.450e+02 6.700e+01 5.490e+02 2.330e+02\n", + " 2.530e+02 2.630e+02 3.650e+02 5.670e+02 3.760e+02 3.780e+02 4.520e+02\n", + " 2.540e+02 3.150e+02 4.000e+02 3.750e+02 7.720e+02 2.480e+02 9.700e+02\n", + " 5.020e+02 3.880e+02 3.940e+02 2.350e+02 5.150e+02 7.050e+02 1.170e+03\n", + " 5.940e+02 3.090e+02 5.260e+02 7.540e+02 2.080e+02 4.280e+02 3.530e+02\n", + " 1.050e+02 5.700e+01 3.370e+02 1.129e+03 1.600e+03 6.000e+02 1.000e+00\n", + " 5.250e+02 6.600e+01 6.300e+01 5.600e+01 2.240e+02 8.700e+01 2.910e+02\n", + " 6.900e+01 2.790e+02 4.350e+02 3.230e+02 1.670e+02 5.100e+01 2.140e+02\n", + " 5.190e+02 4.380e+02 4.800e+01 1.224e+03 7.620e+02 4.230e+02 1.840e+02\n", + " 6.520e+02 4.810e+02 2.390e+02 2.740e+02 1.170e+02 8.860e+02 2.360e+02\n", + " 9.400e+01 2.440e+02 9.020e+02 4.340e+02 2.700e+01 6.620e+02 7.340e+02\n", + " 5.500e+02 1.031e+03 3.400e+01 5.140e+02 4.080e+02 3.800e+02 2.970e+02\n", + " 3.700e+02 3.850e+02 7.880e+02 5.620e+02 8.700e+02 5.180e+02 5.720e+02\n", + " 1.800e+01 3.220e+02 1.378e+03 8.770e+02 5.300e+02 3.970e+02 7.380e+02\n", + " 5.010e+02 3.910e+02 1.180e+02 4.600e+01 6.920e+02 3.320e+02 1.750e+02\n", + " 6.400e+01 5.220e+02 1.047e+03 3.790e+02 2.070e+02 9.700e+01 5.320e+02\n", + " 6.200e+01 1.990e+02 3.550e+02 4.590e+02 4.050e+02 3.270e+02 2.570e+02\n", + " 2.930e+02 6.530e+02 6.300e+02 3.820e+02 4.430e+02]\n", + "Exter Qual: ['TA' 'Gd' 'Ex' 'Fa']\n", + "Exter Cond: ['TA' 'Gd' 'Fa' 'Po' 'Ex']\n", + "Foundation: ['CBlock' 'PConc' 'Wood' 'BrkTil' 'Slab' 'Stone']\n", + "Bsmt Qual: ['TA' 'Gd' 'Ex' nan 'Fa' 'Po']\n", + "Bsmt Cond: ['Gd' 'TA' nan 'Po' 'Fa' 'Ex']\n", + "Bsmt Exposure: ['Gd' 'No' 'Mn' 'Av' nan]\n", + "BsmtFin Type 1: ['BLQ' 'Rec' 'ALQ' 'GLQ' 'Unf' 'LwQ' nan]\n", + "BsmtFin SF 1: [6.390e+02 4.680e+02 9.230e+02 1.065e+03 7.910e+02 6.020e+02 6.160e+02\n", + " 2.630e+02 1.180e+03 0.000e+00 9.350e+02 6.370e+02 3.680e+02 1.416e+03\n", + " 4.270e+02 1.445e+03 1.200e+02 7.900e+02 7.050e+02 8.850e+02 5.330e+02\n", + " 5.780e+02 7.340e+02 7.750e+02 8.040e+02 4.320e+02 1.051e+03 1.560e+02\n", + " 3.000e+02 3.600e+02 5.140e+02 3.110e+02 1.218e+03 1.646e+03 1.201e+03\n", + " 1.100e+02 2.800e+01 2.000e+00 2.188e+03 7.330e+02 1.373e+03 4.560e+02\n", + " 2.400e+01 1.600e+01 3.260e+02 6.250e+02 2.500e+02 9.190e+02 1.032e+03\n", + " 5.240e+02 8.160e+02 1.078e+03 2.220e+02 1.414e+03 6.560e+02 6.950e+02\n", + " 5.430e+02 6.230e+02 4.020e+02 3.380e+02 8.990e+02 5.530e+02 4.500e+02\n", + " 8.240e+02 6.590e+02 1.260e+02 6.740e+02 1.129e+03 1.298e+03 2.800e+02\n", + " 3.760e+02 3.780e+02 4.660e+02 6.040e+02 2.440e+02 4.840e+02 7.280e+02\n", + " 1.052e+03 8.330e+02 5.060e+02 1.137e+03 1.200e+03 6.870e+02 3.940e+02\n", + " 9.820e+02 3.290e+02 6.980e+02 5.690e+02 1.059e+03 1.010e+03 1.014e+03\n", + " 7.630e+02 1.500e+03 4.900e+01 6.700e+02 6.960e+02 3.540e+02 5.400e+02\n", + " 9.440e+02 4.430e+02 9.120e+02 2.470e+02 1.188e+03 8.560e+02 1.018e+03\n", + " 9.220e+02 1.000e+03 6.970e+02 9.360e+02 3.390e+02 6.480e+02 5.320e+02\n", + " 7.310e+02 3.200e+02 2.480e+02 1.056e+03 7.200e+01 4.810e+02 3.400e+02\n", + " 5.070e+02 2.340e+02 5.880e+02 7.170e+02 4.800e+01 5.790e+02 2.740e+02\n", + " 5.100e+02 7.800e+02 1.760e+02 6.860e+02 6.000e+02 2.830e+02 7.880e+02\n", + " 4.740e+02 1.880e+02 4.520e+02 2.640e+02 2.760e+02 4.480e+02 9.600e+02\n", + " 1.040e+02 7.660e+02 1.026e+03 7.300e+01 7.360e+02 7.040e+02 8.410e+02\n", + " 1.302e+03 8.420e+02 2.400e+02 3.710e+02 1.319e+03 2.670e+02 4.380e+02\n", + " 1.092e+03 4.420e+02 1.258e+03 9.640e+02 2.880e+02 1.080e+02 7.390e+02\n", + " 1.920e+02 9.540e+02 3.600e+01 1.346e+03 1.433e+03 8.600e+02 7.500e+02\n", + " 7.470e+02 1.470e+03 5.040e+02 8.700e+02 3.530e+02 5.050e+02 1.980e+02\n", + " 1.820e+02 4.800e+02 1.682e+03 1.358e+03 4.830e+02 6.720e+02 6.620e+02\n", + " 3.700e+02 7.120e+02 1.070e+03 5.280e+02 4.220e+02 9.400e+01 3.480e+02\n", + " 3.830e+02 1.330e+02 2.030e+02 2.180e+02 2.380e+02 4.260e+02 3.750e+02\n", + " 2.750e+02 1.406e+03 3.430e+02 7.600e+01 1.247e+03 7.350e+02 3.080e+02\n", + " 6.150e+02 6.790e+02 5.390e+02 7.800e+01 6.240e+02 4.200e+01 3.340e+02\n", + " 9.150e+02 1.290e+02 1.500e+02 2.940e+02 4.690e+02 5.930e+02 2.070e+02\n", + " 4.580e+02 4.760e+02 1.341e+03 5.640e+02 8.440e+02 1.410e+03 8.470e+02\n", + " 8.500e+02 2.840e+02 1.320e+03 1.965e+03 1.158e+03 3.410e+02 7.410e+02\n", + " 1.890e+02 3.100e+02 5.600e+02 6.940e+02 1.036e+03 1.904e+03 1.274e+03\n", + " 4.000e+02 6.920e+02 8.220e+02 1.246e+03 3.630e+02 8.320e+02 1.104e+03\n", + " 3.810e+02 6.220e+02 5.440e+02 2.250e+02 1.333e+03 8.880e+02 6.360e+02\n", + " 8.280e+02 4.390e+02 5.000e+02 7.260e+02 1.910e+02 2.540e+02 7.650e+02\n", + " 1.620e+02 2.310e+02 9.580e+02 3.060e+02 5.660e+02 4.350e+02 2.570e+02\n", + " 3.890e+02 2.790e+02 5.360e+02 6.440e+02 1.172e+03 1.360e+03 1.767e+03\n", + " 1.572e+03 9.860e+02 1.232e+03 1.436e+03 1.338e+03 2.288e+03 1.531e+03\n", + " 1.230e+03 1.015e+03 1.088e+03 1.037e+03 1.142e+03 1.170e+03 1.039e+03\n", + " 1.124e+03 1.262e+03 5.600e+01 1.972e+03 8.360e+02 9.000e+02 8.810e+02\n", + " 8.760e+02 9.040e+02 2.146e+03 1.557e+03 8.000e+02 1.196e+03 8.630e+02\n", + " 5.670e+02 9.880e+02 4.250e+02 6.520e+02 4.940e+02 6.510e+02 2.410e+02\n", + " 6.830e+02 9.130e+02 7.720e+02 1.163e+03 6.890e+02 1.173e+03 7.810e+02\n", + " 8.540e+02 2.360e+02 9.870e+02 1.361e+03 5.950e+02 1.294e+03 3.790e+02\n", + " 2.158e+03 2.700e+01 1.121e+03 6.820e+02 8.120e+02 1.430e+03 4.100e+02\n", + " 7.710e+02 5.400e+01 5.160e+02 9.760e+02 2.000e+01 5.200e+01 3.310e+02\n", + " 6.800e+01 6.600e+02 8.640e+02 5.940e+02 1.400e+02 1.733e+03 6.010e+02\n", + " 9.620e+02 5.490e+02 6.490e+02 1.252e+03 1.210e+02 1.116e+03 2.980e+02\n", + " 8.590e+02 9.550e+02 1.440e+02 6.430e+02 2.510e+02 4.030e+02 6.120e+02\n", + " 1.960e+02 9.980e+02 7.400e+02 3.880e+02 9.910e+02 5.680e+02 1.000e+02\n", + " 1.850e+02 1.024e+03 1.285e+03 6.070e+02 1.312e+03 6.090e+02 1.387e+03\n", + " 4.540e+02 7.080e+02 6.200e+02 5.850e+02 1.720e+02 1.550e+02 1.213e+03\n", + " 4.900e+02 4.280e+02 6.500e+02 7.000e+02 9.310e+02 4.400e+02 6.990e+02\n", + " 3.900e+02 6.800e+02 3.150e+02 3.840e+02 8.720e+02 7.450e+02 5.460e+02\n", + " 1.270e+03 6.210e+02 1.800e+02 6.300e+02 4.330e+02 1.148e+03 9.410e+02\n", + " 8.260e+02 6.330e+02 4.210e+02 3.120e+02 2.160e+02 4.950e+02 1.309e+03\n", + " 2.200e+02 4.050e+02 2.090e+02 2.730e+02 1.340e+02 2.990e+02 5.220e+02\n", + " 1.520e+02 1.690e+02 7.490e+02 1.152e+03 3.500e+02 5.510e+02 4.440e+02\n", + " 2.260e+02 5.270e+02 6.850e+02 1.700e+02 1.324e+03 2.620e+02 3.420e+02\n", + " 3.440e+02 1.730e+02 5.520e+02 2.920e+02 2.040e+02 4.600e+02 7.000e+01\n", + " 1.441e+03 4.850e+02 5.130e+02 5.840e+02 1.086e+03 1.094e+03 8.200e+02\n", + " 1.021e+03 1.288e+03 1.359e+03 1.334e+03 9.020e+02 7.240e+02 1.518e+03\n", + " 2.490e+02 7.320e+02 7.550e+02 8.210e+02 3.850e+02 9.500e+02 7.460e+02\n", + " 6.060e+02 6.660e+02 1.259e+03 7.100e+02 6.460e+02 7.770e+02 1.234e+03\n", + " 9.900e+02 6.900e+02 1.111e+03 1.478e+03 1.930e+02 5.350e+02 3.990e+02\n", + " 6.310e+02 5.470e+02 3.320e+02 6.260e+02 4.080e+02 2.900e+02 5.230e+02\n", + " 7.930e+02 7.130e+02 2.460e+02 1.540e+02 6.500e+01 7.840e+02 4.710e+02\n", + " 2.850e+02 8.030e+02 8.080e+02 1.476e+03 4.450e+02 1.351e+03 7.670e+02\n", + " 6.110e+02 5.500e+01 1.110e+02 1.236e+03 1.022e+03 1.758e+03 1.115e+03\n", + " 1.005e+03 4.620e+02 1.260e+03 1.640e+03 8.660e+02 8.830e+02 5.150e+02\n", + " 5.090e+02 7.200e+02 1.140e+02 1.097e+03 7.180e+02 3.300e+02 1.567e+03\n", + " 4.960e+02 8.650e+02 7.060e+02 8.510e+02 1.380e+02 1.153e+03 2.190e+02\n", + " 3.190e+02 1.337e+03 1.034e+03 9.830e+02 1.206e+03 8.960e+02 8.900e+02\n", + " 1.084e+03 1.023e+03 2.520e+02 1.190e+02 2.660e+02 3.210e+02 3.870e+02\n", + " 3.580e+02 5.590e+02 2.860e+02 1.336e+03 1.280e+03 1.636e+03 1.330e+03\n", + " 1.012e+03 1.400e+03 1.728e+03 1.375e+03 1.420e+03 1.082e+03 1.249e+03\n", + " 4.000e+01 2.257e+03 1.016e+03 1.149e+03 1.075e+03 3.720e+02 1.540e+03\n", + " 1.204e+03 8.460e+02 5.730e+02 1.073e+03 1.087e+03 7.590e+02 6.550e+02\n", + " 1.660e+03 1.696e+03 2.280e+02 1.314e+03 1.096e+03 3.300e+01 7.290e+02\n", + " 7.890e+02 5.030e+02 8.000e+01 8.140e+02 3.620e+02 1.138e+03 5.370e+02\n", + " 4.720e+02 3.970e+02 1.650e+02 5.300e+01 7.370e+02 7.640e+02 4.890e+02\n", + " 1.900e+02 5.200e+02 5.500e+02 1.027e+03 1.004e+03 1.141e+03 1.238e+03\n", + " 6.810e+02 8.130e+02 1.280e+02 7.860e+02 1.619e+03 1.044e+03 3.010e+02\n", + " 6.030e+02 9.560e+02 2.600e+02 5.830e+02 5.750e+02 8.670e+02 7.760e+02\n", + " 8.920e+02 7.870e+02 8.060e+02 4.190e+02 6.580e+02 3.200e+01 8.310e+02\n", + " 5.310e+02 5.720e+02 2.500e+01 1.053e+03 1.040e+03 5.700e+02 7.740e+02\n", + " 1.480e+02 8.520e+02 5.800e+02 7.440e+02 3.740e+02 6.730e+02 9.600e+01\n", + " 4.930e+02 5.900e+02 1.160e+02 1.410e+02 2.590e+02 2.000e+02 4.060e+02\n", + " 1.750e+02 5.210e+02 2.010e+02 nan 3.360e+02 2.100e+02 3.510e+02\n", + " 9.060e+02 7.580e+02 7.020e+02 2.210e+02 1.198e+03 1.300e+03 6.340e+02\n", + " 1.064e+03 4.290e+02 1.003e+03 3.920e+02 5.990e+02 7.190e+02 1.035e+03\n", + " 3.240e+02 9.690e+02 1.085e+03 7.790e+02 1.271e+03 3.550e+02 2.085e+03\n", + " 5.000e+01 7.700e+02 7.220e+02 1.308e+03 6.880e+02 3.610e+02 6.630e+02\n", + " 4.860e+02 8.800e+01 6.320e+02 6.680e+02 1.194e+03 1.538e+03 6.420e+02\n", + " 9.940e+02 1.593e+03 8.100e+02 9.460e+02 8.300e+02 1.033e+03 9.200e+02\n", + " 5.644e+03 4.590e+02 3.520e+02 2.240e+02 4.100e+01 4.230e+02 2.810e+02\n", + " 3.660e+02 8.100e+01 5.380e+02 1.480e+03 1.474e+03 6.410e+02 1.383e+03\n", + " 8.930e+02 1.165e+03 1.513e+03 1.398e+03 7.830e+02 1.029e+03 1.223e+03\n", + " 8.710e+02 1.011e+03 1.571e+03 7.690e+02 3.180e+02 5.010e+02 4.370e+02\n", + " 7.850e+02 5.340e+02 6.380e+02 6.470e+02 5.620e+02 8.380e+02 7.780e+02\n", + " 1.880e+03 1.860e+02 4.140e+02 9.260e+02 1.101e+03 1.047e+03 7.970e+02\n", + " 9.450e+02 1.558e+03 6.780e+02 2.560e+02 1.328e+03 6.050e+02 9.030e+02\n", + " 4.920e+02 3.490e+02 2.820e+02 4.120e+02 3.220e+02 3.140e+02 9.300e+02\n", + " 3.560e+02 5.560e+02 7.250e+02 1.151e+03 1.304e+03 1.812e+03 1.350e+03\n", + " 1.684e+03 9.700e+02 9.380e+02 6.690e+02 1.178e+03 1.030e+03 7.620e+02\n", + " 8.480e+02 9.180e+02 5.740e+02 2.096e+03 1.181e+03 1.282e+03 1.048e+03\n", + " 1.455e+03 8.620e+02 5.650e+02 1.231e+03 3.350e+02 1.225e+03 1.220e+03\n", + " 9.290e+02 6.300e+01 1.126e+03 1.369e+03 6.400e+01 1.443e+03 4.300e+02\n", + " 4.170e+02 9.320e+02 8.270e+02 7.270e+02 1.250e+02 1.390e+03 9.680e+02\n", + " 4.820e+02 6.000e+01 9.370e+02 1.106e+03 4.200e+02 4.360e+02 2.390e+02\n", + " 9.010e+02 4.570e+02 1.732e+03 1.157e+03 9.780e+02 1.632e+03 4.980e+02\n", + " 7.380e+02 9.730e+02 9.100e+02 3.460e+02 8.190e+02 7.920e+02 9.160e+02\n", + " 6.170e+02 6.540e+02 2.700e+02 1.386e+03 1.300e+02 3.860e+02 1.870e+02\n", + " 8.730e+02 9.080e+02 6.080e+02 5.120e+02 5.860e+02 1.237e+03 4.410e+02\n", + " 8.500e+01 3.770e+02 2.420e+02 9.520e+02 3.980e+02 1.098e+03 7.820e+02\n", + " 1.680e+02 1.220e+02 3.160e+02 1.046e+03 3.170e+02 6.450e+02 1.970e+02\n", + " 9.250e+02 7.480e+02 2.580e+02 1.219e+03 5.870e+02 4.770e+02 4.910e+02\n", + " 4.530e+02 1.440e+03 5.570e+02 1.080e+03 4.970e+02 9.840e+02 1.150e+03\n", + " 6.640e+02 9.850e+02 5.100e+01 1.013e+03 5.020e+02 7.160e+02 6.710e+02\n", + " 1.464e+03 1.412e+03 1.079e+03 7.090e+02 1.320e+02 7.510e+02 9.800e+02\n", + " 4.010e+03 2.260e+03 4.670e+02 7.700e+01 1.130e+02 3.640e+02 3.650e+02\n", + " 1.128e+03 2.970e+02 1.186e+03 3.500e+01 5.770e+02 4.340e+02 5.480e+02\n", + " 9.670e+02 1.573e+03 1.001e+03 7.730e+02 1.392e+03 1.239e+03 9.240e+02\n", + " 9.490e+02 1.102e+03 2.150e+02 7.420e+02 1.329e+03 1.159e+03 2.060e+02\n", + " 8.400e+02 8.740e+02 1.310e+02 1.112e+03 7.960e+02 6.190e+02 8.110e+02\n", + " 1.090e+03 5.960e+02 2.120e+02 1.127e+03 1.110e+03 5.920e+02 7.140e+02\n", + " 5.700e+01 5.180e+02 2.050e+02 1.191e+03 1.422e+03 2.130e+02 1.002e+03\n", + " 7.950e+02 1.940e+02 7.500e+01 6.140e+02 9.510e+02 3.090e+02 3.820e+02\n", + " 3.730e+02 1.447e+03 1.505e+03 1.261e+03 1.290e+03 8.800e+02 4.150e+02\n", + " 5.540e+02 1.038e+03 1.154e+03 1.074e+03 1.182e+03 3.800e+02 1.562e+03\n", + " 1.721e+03 1.836e+03 9.050e+02 2.780e+02 1.332e+03 1.810e+02 4.650e+02\n", + " 1.118e+03 1.456e+03 1.009e+03 8.070e+02 1.810e+03 4.040e+02 7.600e+02\n", + " 7.990e+02 6.610e+02 4.160e+02 9.960e+02 7.560e+02 9.390e+02 8.950e+02\n", + " 9.140e+02 9.430e+02 2.710e+02 4.880e+02 7.010e+02 1.277e+03 4.550e+02\n", + " 3.690e+02 1.790e+02 8.090e+02 9.530e+02 2.080e+02 1.430e+02 5.760e+02\n", + " 3.470e+02 3.280e+02 7.940e+02 2.300e+02 2.610e+02 3.930e+02 6.840e+02\n", + " 4.640e+02 1.576e+03 1.122e+03 8.530e+02 1.162e+03 8.940e+02 9.750e+02\n", + " 4.750e+02 1.670e+02 6.910e+02 4.240e+02 3.050e+02 2.230e+02 5.260e+02\n", + " 2.960e+02 1.283e+03 1.564e+03 9.650e+02 9.090e+02 1.216e+03 1.136e+03\n", + " 1.460e+03 1.243e+03 8.970e+02 8.370e+02 1.490e+02 1.606e+03 1.224e+03\n", + " 3.370e+02 1.071e+03]\n", + "BsmtFin Type 2: ['Unf' 'LwQ' 'BLQ' 'Rec' nan 'GLQ' 'ALQ']\n", + "BsmtFin SF 2: [ 0. 144. 1120. 163. 168. 78. 119. 121. 117. 859. 981. 42.\n", + " 46. 81. 1029. 290. 132. 713. 162. 362. 240. 258. 174. 906.\n", + " 486. 350. 263. 1073. 692. 12. 159. 712. 668. 474. 453. 684.\n", + " 387. 688. 972. 127. 252. 334. 232. 480. 590. 284. 276. 472.\n", + " 239. 180. 294. 622. 495. 539. 479. 113. 1526. 360. 774. 364.\n", + " 596. 884. 311. 92. 216. 136. 32. 147. 1127. 466. 630. 201.\n", + " 345. 512. 230. 247. 661. 620. 202. 483. 750. 690. 105. 60.\n", + " 352. 102. 95. 465. 63. 262. 500. 670. 768. 393. 286. 450.\n", + " 177. 764. 344. 72. 243. 420. 210. 694. 875. 507. 435. 419.\n", + " 250. 116. 354. 820. 624. 273. 76. 270. 110. 288. 411. 228.\n", + " 186. 449. 48. 93. 438. 613. 852. 555. 841. 799. 811. 842.\n", + " 382. 182. 456. 80. 64. 336. 306. 308. 374. 872. 108. 52.\n", + " 196. 128. 488. 319. 532. 106. 169. 608. nan 41. 606. 645.\n", + " 492. 181. 956. 1080. 1063. 391. 380. 531. 723. 491. 120. 679.\n", + " 612. 40. 125. 279. 400. 208. 193. 823. 287. 175. 604. 153.\n", + " 35. 619. 139. 6. 351. 1031. 1037. 176. 829. 211. 264. 38.\n", + " 206. 167. 580. 543. 219. 259. 404. 468. 138. 955. 691. 66.\n", + " 96. 149. 154. 442. 448. 227. 546. 398. 469. 722. 761. 627.\n", + " 529. 522. 873. 891. 755. 1474. 634. 321. 915. 544. 417. 432.\n", + " 831. 278. 557. 150. 869. 1020. 530. 904. 499. 215. 1061. 377.\n", + " 791. 156. 1393. 1039. 375. 497. 1057. 526. 68. 402. 748. 28.\n", + " 165. 184. 281. 912. 600. 506. 373. 551. 982. 441. 682. 1085.\n", + " 826. 850. 1164. 1083. 337. 297. 547. 173. 396. 324. 123.]\n", + "Bsmt Unf SF: [ 441. 270. 406. ... 45. 1503. 239.]\n", + "Total Bsmt SF: [1080. 882. 1329. ... 1381. 757. 1003.]\n", + "Heating: ['GasA' 'GasW' 'Grav' 'Wall' 'Floor' 'OthW']\n", + "Heating QC: ['Fa' 'TA' 'Ex' 'Gd' 'Po']\n", + "Central Air: ['Y' 'N']\n", + "Electrical: ['SBrkr' 'FuseA' 'FuseF' 'FuseP' nan 'Mix']\n", + "1st Flr SF: [1656 896 1329 ... 2028 1003 1389]\n", + "2nd Flr SF: [ 0 701 678 776 892 676 1589 672 860 504 567 601 707 563\n", + " 862 630 1100 886 656 1151 1177 830 1122 1106 644 1185 783 956\n", + " 1128 828 888 790 730 584 1098 823 840 600 636 804 756 720\n", + " 550 873 754 1215 604 734 715 532 537 1169 505 546 1080 408\n", + " 475 788 687 348 765 424 606 185 686 1111 622 1044 602 582\n", + " 908 524 498 492 608 808 1074 780 662 1196 499 180 319 942\n", + " 744 240 689 714 954 192 864 558 755 838 887 1523 614 800\n", + " 878 703 1054 328 252 806 665 1788 772 748 1075 1152 358 380\n", + " 430 880 700 1194 1070 915 912 576 1216 650 615 645 704 663\n", + " 1275 670 631 833 684 809 785 779 978 988 1200 896 1134 868\n", + " 1103 816 839 741 467 586 1174 1325 568 1088 1012 762 1295 728\n", + " 745 742 876 716 1257 640 683 1276 1126 1032 793 695 1089 1038\n", + " 1097 1304 1221 1140 1336 1067 1274 967 1017 871 858 920 981 438\n", + " 1182 841 941 1209 897 591 786 702 918 1629 612 729 739 727\n", + " 983 782 660 1369 972 855 1315 224 556 960 457 685 726 322\n", + " 760 534 1296 368 768 629 813 406 548 517 455 496 690 994\n", + " 1000 682 646 560 677 564 1063 1320 917 624 826 561 596 653\n", + " 390 464 587 320 472 588 883 910 929 1040 784 462 649 425\n", + " 611 747 769 1114 1120 1619 902 718 815 966 836 834 913 844\n", + " 829 1116 573 885 926 977 807 738 1427 441 512 444 620 436\n", + " 545 998 595 448 332 523 1240 516 668 928 1157 432 846 566\n", + " 848 1020 717 1332 1370 857 1330 767 1420 866 1104 590 1237 898\n", + " 1158 1162 1096 1139 884 1285 778 1160 1053 639 1061 1250 1093 904\n", + " 1039 520 919 939 932 1028 843 861 842 794 825 850 893 1319\n", + " 959 625 792 628 924 1345 1066 732 1540 933 832 453 220 384\n", + " 412 510 182 501 581 375 680 1208 658 552 396 1818 797 540\n", + " 308 973 691 539 1254 363 473 594 378 554 208 468 651 445\n", + " 764 752 213 795 428 371 110 536 713 551 547 580 486 1051\n", + " 511 872 648 527 495 1721 1099 735 1072 899 870 895 903 1141\n", + " 1198 975 854 812 950 521 343 304 940 1611 811 673 442 890\n", + " 1479 817 943 330 420 936 167 688 766 770 1342 900 1377 845\n", + " 533 1402 1101 574 1036 570 1142 1238 1168 923 530 757 1048 796\n", + " 1112 1131 694 750 2065 1288 1407 1171 1277 1872 1015 1306 1203 995\n", + " 528 863 1426 925 1232 1357 743 976 761 1259 1008 984 1309 228\n", + " 992 500 544 1778 299 616 831 664 494 642 659 671 1031 336\n", + " 144 525 349 423 1164 356 698 245 592 1042 477 1005 971 1087\n", + " 638 400 376 1121 1414 1362 1092 916 882 927 874 914 881 869\n", + " 1242 1081 753 450 1133 674 1538 125 1440 787 531 585 514 775\n", + " 589 979 1001 851 1178 351 957 1340 1349 712 1243 955 709 990\n", + " 1384 1862 1371 1312 1405 1519 1392 1358 465 1347 1218 1060 466 1335\n", + " 814 488 1321 482 711 930 1286 985 1029 1796 1368 1567 1189 1323\n", + " 1234 798 1129 623 708 456 316 1360 1248 272 821 370 1007 518\n", + " 476 502 867 661 297 679 875 1518 605 810 325 434 583 634\n", + " 557 341 626 1836 541 454 1246 571 1037 1124 1045 989 827 1150\n", + " 312 526 218 980 403 493 736 818 901 610 725 549 1175 697\n", + " 439 360 1281 1230 1004]\n", + "Low Qual Fin SF: [ 0 390 362 144 1064 232 431 120 436 371 360 259 397 312\n", + " 513 108 205 156 697 420 384 473 512 528 114 479 515 53\n", + " 80 392 572 234 140 450 481 514]\n", + "Gr Liv Area: [1656 896 1329 ... 2028 2521 1003]\n", + "Bsmt Full Bath: [ 1. 0. 2. 3. nan]\n", + "Bsmt Half Bath: [ 0. 1. nan 2.]\n", + "Full Bath: [1 2 3 0 4]\n", + "Half Bath: [0 1 2]\n", + "Bedroom AbvGr: [3 2 1 4 6 5 0 8]\n", + "Kitchen AbvGr: [1 2 3 0]\n", + "Kitchen Qual: ['TA' 'Gd' 'Ex' 'Fa' 'Po']\n", + "TotRms AbvGrd: [ 7 5 6 8 4 12 10 11 9 3 13 2 15 14]\n", + "Functional: ['Typ' 'Mod' 'Min1' 'Min2' 'Maj1' 'Maj2' 'Sev' 'Sal']\n", + "Fireplaces: [2 0 1 3 4]\n", + "Fireplace Qu: ['Gd' nan 'TA' 'Po' 'Ex' 'Fa']\n", + "Garage Type: ['Attchd' 'BuiltIn' 'Basment' 'Detchd' nan 'CarPort' '2Types']\n", + "Garage Yr Blt: [1960. 1961. 1958. 1968. 1997. 1998. 2001. 1992. 1995. 1999. 1993. 1990.\n", + " 1985. 2003. 1988. 2010. 1951. 1978. 1977. 1974. 2000. 1970. 1971. nan\n", + " 1975. 2009. 2008. 2005. 2004. 2002. 2006. 1996. 1994. 1980. 1979. 1984.\n", + " 1986. 1920. 1987. 1973. 1963. 1962. 1976. 1967. 1972. 1966. 1964. 1950.\n", + " 1949. 1954. 1955. 1959. 1957. 1956. 1952. 1953. 1989. 1948. 1900. 1927.\n", + " 1915. 1945. 1940. 1938. 1928. 1930. 1926. 1939. 1942. 1923. 1917. 1910.\n", + " 1965. 1969. 1947. 1946. 1941. 1924. 1922. 1896. 2007. 1983. 1981. 1991.\n", + " 1982. 1916. 1925. 1936. 1935. 1931. 1934. 1929. 1918. 1921. 1937. 1932.\n", + " 1906. 1908. 1895. 1933. 2207. 1914. 1943. 1919.]\n", + "Garage Finish: ['Fin' 'Unf' 'RFn' nan]\n", + "Garage Cars: [ 2. 1. 3. 0. 4. 5. nan]\n", + "Garage Area: [ 528. 730. 312. 522. 482. 470. 582. 506. 608. 442. 440. 420.\n", + " 393. 841. 492. 834. 400. 500. 546. 663. 480. 304. 525. 0.\n", + " 511. 264. 320. 308. 751. 772. 606. 868. 532. 678. 820. 484.\n", + " 958. 756. 576. 474. 430. 437. 433. 434. 779. 962. 527. 712.\n", + " 671. 486. 666. 880. 676. 614. 750. 618. 463. 462. 457. 476.\n", + " 429. 539. 336. 280. 260. 461. 564. 762. 713. 588. 496. 852.\n", + " 592. 475. 596. 535. 660. 441. 490. 504. 517. 240. 364. 244.\n", + " 315. 578. 620. 447. 294. 531. 263. 318. 305. 246. 392. 330.\n", + " 720. 360. 551. 379. 220. 780. 288. 416. 624. 923. 560. 363.\n", + " 200. 572. 180. 516. 672. 349. 365. 231. 450. 270. 299. 591.\n", + " 533. 690. 436. 586. 366. 467. 209. 460. 1017. 574. 776. 632.\n", + " 740. 615. 594. 580. 513. 523. 850. 670. 613. 621. 598. 502.\n", + " 494. 319. 352. 216. 399. 252. 567. 473. 625. 384. 741. 573.\n", + " 888. 520. 680. 510. 431. 746. 686. 286. 253. 495. 616. 275.\n", + " 538. 390. 758. 499. 396. 427. 380. 409. 389. 343. 565. 1166.\n", + " 435. 544. 529. 479. 542. 478. 581. 552. 583. 902. 477. 345.\n", + " 656. 786. 754. 840. 890. 1390. 864. 836. 896. 900. 842. 1020.\n", + " 932. 640. 908. 927. 856. 700. 738. 862. 644. 968. 886. 871.\n", + " 626. 949. 685. 649. 701. 550. 397. 432. 554. 394. 658. 410.\n", + " 810. 1069. 889. 815. 647. 623. 711. 898. 972. 726. 844. 689.\n", + " 795. 984. 692. 812. 782. 1043. 438. 628. 845. 555. 788. 559.\n", + " 465. 612. 732. 300. 524. 704. 561. 641. 642. 540. 784. 497.\n", + " 515. 630. 498. 768. 472. 610. 549. 645. 368. 505. 418. 338.\n", + " 271. 792. 530. 514. 509. 297. 350. 884. 230. 281. 907. 483.\n", + " 210. 162. 324. 256. 273. 287. 357. 424. 456. 207. 192. 250.\n", + " 1184. 164. 316. 226. 668. 452. 284. 303. 340. 234. 290. 266.\n", + " 296. 425. 466. 1138. 826. 860. 846. 904. 702. 662. 569. 577.\n", + " 493. 622. 605. 444. 600. 1231. 570. 736. 521. 512. 451. 195.\n", + " 313. 342. 215. 282. 213. 307. 186. 295. 501. 468. 189. 351.\n", + " 541. 912. 650. 885. 471. 765. 920. 412. 402. 602. 698. 714.\n", + " 601. 386. 404. 406. 682. 683. 557. 619. 489. 1314. 439. 787.\n", + " 774. 1220. 858. 905. 866. 706. 1150. 1003. 789. 870. 1052. 944.\n", + " 388. 428. 398. 403. 696. 687. 938. 839. 983. 783. 691. 830.\n", + " 824. 851. 603. 648. 936. 562. 673. 575. 627. 276. 636. 545.\n", + " 469. 464. 831. 267. 283. 205. 377. 292. 458. 301. 1488. 372.\n", + " 401. 414. 311. 225. 828. 869. 370. 208. 160. 355. 228. 322.\n", + " 408. 354. 249. 534. 453. 1348. 874. 811. 558. 328. 725. 715.\n", + " 543. 595. 508. 721. 548. 814. 1418. 369. 599. 344. 1014. 924.\n", + " 356. 487. 185. 1248. 857. 816. 358. 665. 800. 749. 892. 257.\n", + " 423. 526. 373. 729. 1110. 556. 724. 481. 585. 488. 684. 367.\n", + " 818. 928. 1040. 878. 947. 895. 694. 1174. 728. 843. 916. 872.\n", + " 876. 631. 617. 454. 813. 925. 804. 806. 832. 455. 752. 933.\n", + " 1092. 865. 954. 825. 859. 590. 1025. 744. 566. 518. 611. 1105.\n", + " 571. 309. 306. 310. 293. 371. 1200. 254. 184. 374. 331. 224.\n", + " 217. 261. 323. 638. 739. 332. 719. 833. 894. 796. 674. 747.\n", + " 242. 597. 748. 639. 579. 1154. 248. nan 100. 722. 422. 808.\n", + " 995. 1041. 1356. 963. 443. 413. 773. 675. 716. 604. 485. 770.\n", + " 1085. 853. 708. 753. 899. 426. 807. 959. 803. 760. 1134. 584.\n", + " 1053. 449. 688. 757. 326. 568. 353. 791. 1008. 378. 258. 255.\n", + " 198. 459. 667. 445. 325. 848. 317. 646. 265. 609. 375. 272.\n", + " 327. 766. 693. 405.]\n", + "Garage Qual: ['TA' nan 'Fa' 'Gd' 'Ex' 'Po']\n", + "Garage Cond: ['TA' nan 'Fa' 'Gd' 'Ex' 'Po']\n", + "Paved Drive: ['P' 'Y' 'N']\n", + "Wood Deck SF: [ 210 140 393 0 212 360 237 157 483 192 503 325 113 349\n", + " 240 203 275 173 26 144 168 220 238 196 120 36 100 146\n", + " 288 180 668 23 186 132 283 169 80 635 28 353 370 121\n", + " 416 296 32 198 160 280 133 223 277 224 228 352 227 366\n", + " 117 263 301 42 252 250 264 364 414 218 222 657 84 51\n", + " 106 54 135 221 306 12 344 56 406 379 226 335 496 290\n", + " 268 336 44 450 156 105 367 71 316 365 188 331 60 257\n", + " 116 272 141 112 30 68 128 375 328 174 182 200 96 261\n", + " 431 22 287 129 162 269 48 201 52 256 232 342 63 322\n", + " 178 233 474 448 225 40 171 216 185 108 87 260 147 150\n", + " 404 382 319 99 184 125 165 248 114 230 170 172 208 231\n", + " 148 143 300 24 298 340 517 297 70 205 195 158 462 502\n", + " 115 501 371 235 294 312 321 78 85 164 110 55 289 66\n", + " 324 126 187 74 181 266 244 45 189 509 302 243 64 131\n", + " 476 234 400 73 154 123 486 276 392 72 215 58 262 202\n", + " 253 194 576 356 327 92 136 329 279 176 292 467 119 90\n", + " 305 124 270 308 33 138 303 214 152 550 16 411 209 358\n", + " 320 495 236 385 145 155 97 20 122 98 25 38 426 355\n", + " 490 88 76 418 265 49 57 204 311 102 511 409 50 307\n", + " 81 424 339 403 278 211 139 149 259 736 134 183 314 213\n", + " 161 318 428 670 282 315 362 245 219 390 167 407 35 130\n", + " 104 460 286 239 255 193 159 402 455 500 206 190 333 284\n", + " 285 14 521 380 127 646 142 386 405 546 118 242 291 166\n", + " 274 439 536 1424 690 330 421 95 441 246 351 197 384 444\n", + " 295 175 354 519 177 179 89 361 247 870 309 432 4 641\n", + " 153 857 94 86 191 75 631 229 436 345 520 199 27 394\n", + " 53 77 466 304 241 103 586 684 453 413 468 207 530 574\n", + " 326 728]\n", + "Open Porch SF: [ 62 0 36 34 82 152 60 84 21 75 54 12 122 120 96 85 68 55\n", + " 30 133 50 95 35 70 74 119 67 150 130 49 27 23 116 20 48 172\n", + " 56 32 57 81 86 136 45 168 102 104 144 39 111 166 44 192 184 42\n", + " 78 137 76 69 66 224 26 40 98 73 38 28 52 17 124 160 100 228\n", + " 108 18 158 10 11 132 58 90 22 46 278 92 33 61 59 77 25 262\n", + " 105 64 140 156 207 53 24 312 72 43 94 63 176 195 134 162 197 274\n", + " 170 273 185 190 114 235 183 16 51 103 128 146 126 165 226 121 112 175\n", + " 182 113 88 178 91 41 93 177 234 254 169 204 99 80 110 189 287 523\n", + " 15 135 198 188 215 155 142 222 193 29 151 240 200 148 201 118 154 238\n", + " 247 304 101 173 282 180 65 131 153 87 174 210 251 243 211 129 4 230\n", + " 213 547 291 502 299 365 139 216 89 117 236 8 187 159 106 372 292 141\n", + " 217 123 83 276 265 164 205 368 47 203 191 138 364 127 256 214 241 194\n", + " 285 324 208 171 570 244 231 484 406 742 444 252 263 266 97 37 250 246\n", + " 229 31 267 382 319 258 6 341 260 288 418 115 253 245 107 225 125 199]\n", + "Enclosed Porch: [ 0 170 184 154 80 220 186 156 120 112 150 164 189 205\n", + " 113 216 135 130 202 126 334 246 196 18 158 114 60 41\n", + " 128 35 48 32 64 364 40 318 248 168 45 239 176 77\n", + " 52 56 36 136 96 242 42 86 162 98 265 50 280 222\n", + " 144 209 24 91 236 218 228 84 264 260 240 203 140 252\n", + " 100 134 432 198 116 169 148 244 25 81 102 160 386 226\n", + " 238 115 94 208 105 54 51 34 268 30 213 288 90 192\n", + " 177 211 185 55 180 44 57 78 137 72 368 70 165 92\n", + " 16 123 66 210 68 109 194 139 219 259 212 20 101 87\n", + " 117 204 122 108 190 231 138 183 254 301 121 207 224 172\n", + " 174 99 249 291 145 214 275 290 175 26 143 230 88 39\n", + " 1012 43 286 19 584 200 133 234 37 324 552 161 75 167\n", + " 28 293 104 296 330 221 256 129 225 294 272 429 67 132\n", + " 23]\n", + "3Ssn Porch: [ 0 238 224 144 508 168 255 225 360 162 140 150 182 153 320 174 304 216\n", + " 407 96 245 120 219 180 196 176 86 23 290 323 130]\n", + "Screen Porch: [ 0 120 144 140 210 165 256 216 90 204 143 160 182 385 240 168 148 95\n", + " 266 166 116 161 200 155 108 291 490 170 192 180 156 196 197 152 121 92\n", + " 288 185 342 189 252 234 255 111 112 231 40 100 60 142 110 396 225 117\n", + " 195 145 224 115 198 233 190 141 208 80 176 94 164 178 273 130 480 220\n", + " 64 163 287 175 576 227 265 221 171 135 322 174 147 276 260 217 201 109\n", + " 99 150 126 259 184 84 154 53 153 228 138 263 88 280 123 440 374 119\n", + " 222 264 270 63 122 128 162 410 271 312 348 113 104]\n", + "Pool Area: [ 0 144 480 576 555 368 444 228 561 519 648 800 512 738]\n", + "Pool QC: [nan 'Ex' 'Gd' 'TA' 'Fa']\n", + "Fence: [nan 'MnPrv' 'GdPrv' 'GdWo' 'MnWw']\n", + "Misc Feature: [nan 'Gar2' 'Shed' 'Othr' 'Elev' 'TenC']\n", + "Misc Val: [ 0 12500 500 700 400 450 1500 300 600 1200 3500 2000\n", + " 2500 54 80 490 480 350 650 900 800 750 1400 6500\n", + " 1150 1000 4500 3000 560 1300 8300 15500 17000 1512 455 460\n", + " 620 420]\n", + "Mo Sold: [ 5 6 4 3 1 2 7 10 8 11 9 12]\n", + "Yr Sold: [2010 2009 2008 2007 2006]\n", + "Sale Type: ['WD ' 'New' 'COD' 'ConLI' 'Con' 'ConLD' 'Oth' 'ConLw' 'CWD' 'VWD']\n", + "Sale Condition: ['Normal' 'Partial' 'Family' 'Abnorml' 'Alloca' 'AdjLand']\n", + "SalePrice: [215000 105000 172000 ... 90500 71000 150900]\n", + "Order 2930\n", + "PID 2930\n", + "MS SubClass 16\n", + "MS Zoning 7\n", + "Lot Frontage 128\n", + " ... \n", + "Mo Sold 12\n", + "Yr Sold 5\n", + "Sale Type 10\n", + "Sale Condition 6\n", + "SalePrice 1032\n", + "Length: 82, dtype: int64\n" + ] + } + ], + "source": [ + "# TODO: Perform initial exploration of the dataset.\n", + "# - Check shape, column names, smaples\n", + "# - Get summary info, data types\n", + "# - Descriptive statistics\n", + "\n", + "df = df1.copy()\n", + "print(f\"Shape: {df.shape}\")\n", + "print(f\"Columns Name: {df.columns}\")\n", + "print(f\"Sample of Records: {df.sample}\")\n", + "\n", + "df.info()\n", + "df.dtypes\n", + "\n", + "print(df.describe())\n", + "print(df.describe(include='object'))\n", + "\n", + "for col in df.columns:\n", + " print(f\"{col}: {df[col].unique()}\")\n", + "\n", + "print(df.nunique())" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "quTZ6mJdjrDw" + }, + "source": [ + "## 🔹 Step 3: Missing Value Check & Handling" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "-0KdWkPqjs7y", + "outputId": "a7401ca1-452a-4801-c8dd-57a813c39aca" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(2930, 82)\n", + "(2930, 80)\n", + "# of nulls at the begining: 15749\n", + "Shape after drop columns with >50% missing values: (2930, 75)\n", + "# of nulls after drop columns with >50% missing values: 3143\n", + "# of nulls before Categurical filling: 2461\n", + "# of nulls at the end: 0\n" + ] + } + ], + "source": [ + "# TODO: Check missing values.\n", + "# Decide on a strategy (if needed):\n", + "# - Drop if too many are missing\n", + "# - Fill with mean/median/mode/domain-specific value\n", + "\n", + "print(df.shape)\n", + "if 'Order' in df.columns:\n", + " df.drop(columns=['Order'], inplace=True)\n", + "if 'PID' in df.columns:\n", + " df.drop(columns=['PID'], inplace=True)\n", + "print(df.shape)\n", + "print(\"# of nulls at the begining: \", df.isnull().sum().sum())\n", + "\n", + "# list columns with missing values\n", + "missing_counts = df.isnull().sum()\n", + "missing_cols = missing_counts[missing_counts > 0].sort_values(ascending=False)\n", + "# drop columns with more than 50% missing values\n", + "missing_pct = df.isnull().mean() * 100\n", + "cols_to_drop = missing_pct[missing_pct > 50].index.tolist()\n", + "df = df.drop(columns=cols_to_drop)\n", + "print(\"Shape after drop columns with >50% missing values: \", df.shape)\n", + "print(\"# of nulls after drop columns with >50% missing values: \", df.isnull().sum().sum())\n", + "\n", + "col_cat = df.select_dtypes(include='object').columns\n", + "col_num = df.select_dtypes(exclude='object').columns\n", + "for col in col_num:\n", + " df[col] = df[col].fillna(df[col].median())\n", + "print(\"# of nulls before Categurical filling: \", df.isnull().sum().sum())\n", + "for col in col_cat:\n", + " mod = df[col].mode()\n", + " mode_value = mod.iloc[0] # pick the first mode\n", + " df[col] = df[col].fillna(mode_value)\n", + "print(\"# of nulls at the end: \",df.isnull().sum().sum())\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "LWQY6vDEjyTu" + }, + "source": [ + "## 🔹 Step 4: Correlation Check & Feature Decision" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 0 + }, + "id": "MHwMZbX_jxKJ", + "outputId": "21c62f7c-f2bd-4837-f648-31cfbeb102b8" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# TODO: Check correlations between numerical features and target variable (SalePrice).\n", + "# Use correlation heatmap or pairplot.\n", + "# Decide which features to keep/remove based on correlation.\n", + "\n", + "import numpy as np\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Numeric-only correlation\n", + "corr = df.corr(numeric_only=True)\n", + "plt.figure(figsize=(10,6))\n", + "sns.heatmap(corr, cmap=\"coolwarm\")\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "exTa7T6qj2hv" + }, + "source": [ + "## 🔹 Step 5: Encode Categorical Variables" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "JBQbfP6jj1hS", + "outputId": "96116592-46d9-4a16-da40-b5140300a807" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['RL' 'RH' 'FV' 'RM' 'C (all)' 'I (all)' 'A (agr)']\n", + "['Pave' 'Grvl']\n", + "['IR1' 'Reg' 'IR2' 'IR3']\n", + "['Lvl' 'HLS' 'Bnk' 'Low']\n", + "['AllPub' 'NoSewr' 'NoSeWa']\n", + "['Corner' 'Inside' 'CulDSac' 'FR2' 'FR3']\n", + "['Gtl' 'Mod' 'Sev']\n", + "['NAmes' 'Gilbert' 'StoneBr' 'NWAmes' 'Somerst' 'BrDale' 'NPkVill'\n", + " 'NridgHt' 'Blmngtn' 'NoRidge' 'SawyerW' 'Sawyer' 'Greens' 'BrkSide'\n", + " 'OldTown' 'IDOTRR' 'ClearCr' 'SWISU' 'Edwards' 'CollgCr' 'Crawfor'\n", + " 'Blueste' 'Mitchel' 'Timber' 'MeadowV' 'Veenker' 'GrnHill' 'Landmrk']\n", + "['Norm' 'Feedr' 'PosN' 'RRNe' 'RRAe' 'Artery' 'PosA' 'RRAn' 'RRNn']\n", + "['Norm' 'Feedr' 'PosA' 'PosN' 'Artery' 'RRNn' 'RRAe' 'RRAn']\n", + "['1Fam' 'TwnhsE' 'Twnhs' 'Duplex' '2fmCon']\n", + "['1Story' '2Story' '1.5Fin' 'SFoyer' 'SLvl' '2.5Unf' '1.5Unf' '2.5Fin']\n", + "['Hip' 'Gable' 'Mansard' 'Gambrel' 'Shed' 'Flat']\n", + "['CompShg' 'WdShake' 'Tar&Grv' 'WdShngl' 'Membran' 'ClyTile' 'Roll'\n", + " 'Metal']\n", + "['BrkFace' 'VinylSd' 'Wd Sdng' 'CemntBd' 'HdBoard' 'Plywood' 'MetalSd'\n", + " 'AsbShng' 'WdShing' 'Stucco' 'AsphShn' 'BrkComm' 'CBlock' 'PreCast'\n", + " 'Stone' 'ImStucc']\n", + "['Plywood' 'VinylSd' 'Wd Sdng' 'BrkFace' 'CmentBd' 'HdBoard' 'Wd Shng'\n", + " 'MetalSd' 'ImStucc' 'Brk Cmn' 'AsbShng' 'Stucco' 'AsphShn' 'CBlock'\n", + " 'Stone' 'PreCast' 'Other']\n", + "['TA' 'Gd' 'Ex' 'Fa']\n", + "['TA' 'Gd' 'Fa' 'Po' 'Ex']\n", + "['CBlock' 'PConc' 'Wood' 'BrkTil' 'Slab' 'Stone']\n", + "['TA' 'Gd' 'Ex' 'Fa' 'Po']\n", + "['Gd' 'TA' 'Po' 'Fa' 'Ex']\n", + "['Gd' 'No' 'Mn' 'Av']\n", + "['BLQ' 'Rec' 'ALQ' 'GLQ' 'Unf' 'LwQ']\n", + "['Unf' 'LwQ' 'BLQ' 'Rec' 'GLQ' 'ALQ']\n", + "['GasA' 'GasW' 'Grav' 'Wall' 'Floor' 'OthW']\n", + "['Fa' 'TA' 'Ex' 'Gd' 'Po']\n", + "['Y' 'N']\n", + "['SBrkr' 'FuseA' 'FuseF' 'FuseP' 'Mix']\n", + "['TA' 'Gd' 'Ex' 'Fa' 'Po']\n", + "['Typ' 'Mod' 'Min1' 'Min2' 'Maj1' 'Maj2' 'Sev' 'Sal']\n", + "['Gd' 'TA' 'Po' 'Ex' 'Fa']\n", + "['Attchd' 'BuiltIn' 'Basment' 'Detchd' 'CarPort' '2Types']\n", + "['Fin' 'Unf' 'RFn']\n", + "['TA' 'Fa' 'Gd' 'Ex' 'Po']\n", + "['TA' 'Fa' 'Gd' 'Ex' 'Po']\n", + "['P' 'Y' 'N']\n", + "['WD ' 'New' 'COD' 'ConLI' 'Con' 'ConLD' 'Oth' 'ConLw' 'CWD' 'VWD']\n", + "['Normal' 'Partial' 'Family' 'Abnorml' 'Alloca' 'AdjLand']\n", + " MS SubClass Lot Frontage Lot Area Overall Qual Overall Cond \\\n", + "0 20 141.0 31770 6 5 \n", + "1 20 80.0 11622 5 6 \n", + "2 20 81.0 14267 6 6 \n", + "3 20 93.0 11160 7 5 \n", + "4 60 74.0 13830 5 5 \n", + "\n", + " Year Built Year Remod/Add Mas Vnr Area BsmtFin SF 1 BsmtFin SF 2 \\\n", + "0 1960 1960 112.0 639.0 0.0 \n", + "1 1961 1961 0.0 468.0 144.0 \n", + "2 1958 1958 108.0 923.0 0.0 \n", + "3 1968 1968 0.0 1065.0 0.0 \n", + "4 1997 1998 0.0 791.0 0.0 \n", + "\n", + " Bsmt Unf SF Total Bsmt SF 1st Flr SF 2nd Flr SF Low Qual Fin SF \\\n", + "0 441.0 1080.0 1656 0 0 \n", + "1 270.0 882.0 896 0 0 \n", + "2 406.0 1329.0 1329 0 0 \n", + "3 1045.0 2110.0 2110 0 0 \n", + "4 137.0 928.0 928 701 0 \n", + "\n", + " Gr Liv Area Bsmt Full Bath Bsmt Half Bath Full Bath Half Bath \\\n", + "0 1656 1.0 0.0 1 0 \n", + "1 896 0.0 0.0 1 0 \n", + "2 1329 0.0 0.0 1 1 \n", + "3 2110 1.0 0.0 2 1 \n", + "4 1629 0.0 0.0 2 1 \n", + "\n", + " Bedroom AbvGr Kitchen AbvGr TotRms AbvGrd Fireplaces Garage Yr Blt \\\n", + "0 3 1 7 2 1960.0 \n", + "1 2 1 5 0 1961.0 \n", + "2 3 1 6 0 1958.0 \n", + "3 3 1 8 2 1968.0 \n", + "4 3 1 6 1 1997.0 \n", + "\n", + " Garage Cars Garage Area Wood Deck SF Open Porch SF Enclosed Porch \\\n", + "0 2.0 528.0 210 62 0 \n", + "1 1.0 730.0 140 0 0 \n", + "2 1.0 312.0 393 36 0 \n", + "3 2.0 522.0 0 0 0 \n", + "4 2.0 482.0 212 34 0 \n", + "\n", + " 3Ssn Porch Screen Porch Pool Area Misc Val Mo Sold Yr Sold SalePrice \\\n", + "0 0 0 0 0 5 2010 215000 \n", + "1 0 120 0 0 6 2010 105000 \n", + "2 0 0 0 12500 6 2010 172000 \n", + "3 0 0 0 0 4 2010 244000 \n", + "4 0 0 0 0 3 2010 189900 \n", + "\n", + " MS Zoning_C (all) MS Zoning_FV MS Zoning_I (all) MS Zoning_RH \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " MS Zoning_RL MS Zoning_RM Street_Pave Lot Shape_IR2 Lot Shape_IR3 \\\n", + "0 1.0 0.0 1.0 0.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 0.0 \n", + "2 1.0 0.0 1.0 0.0 0.0 \n", + "3 1.0 0.0 1.0 0.0 0.0 \n", + "4 1.0 0.0 1.0 0.0 0.0 \n", + "\n", + " Lot Shape_Reg Land Contour_HLS Land Contour_Low Land Contour_Lvl \\\n", + "0 0.0 0.0 0.0 1.0 \n", + "1 1.0 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 1.0 \n", + "3 1.0 0.0 0.0 1.0 \n", + "4 0.0 0.0 0.0 1.0 \n", + "\n", + " Utilities_NoSeWa Utilities_NoSewr Lot Config_CulDSac Lot Config_FR2 \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Lot Config_FR3 Lot Config_Inside Land Slope_Mod Land Slope_Sev \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 0.0 \n", + "\n", + " Neighborhood_Blueste Neighborhood_BrDale Neighborhood_BrkSide \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_ClearCr Neighborhood_CollgCr Neighborhood_Crawfor \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_Edwards Neighborhood_Gilbert Neighborhood_Greens \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 \n", + "\n", + " Neighborhood_GrnHill Neighborhood_IDOTRR Neighborhood_Landmrk \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_MeadowV Neighborhood_Mitchel Neighborhood_NAmes \\\n", + "0 0.0 0.0 1.0 \n", + "1 0.0 0.0 1.0 \n", + "2 0.0 0.0 1.0 \n", + "3 0.0 0.0 1.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_NPkVill Neighborhood_NWAmes Neighborhood_NoRidge \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_NridgHt Neighborhood_OldTown Neighborhood_SWISU \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_Sawyer Neighborhood_SawyerW Neighborhood_Somerst \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_StoneBr Neighborhood_Timber Neighborhood_Veenker \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Condition 1_Feedr Condition 1_Norm Condition 1_PosA Condition 1_PosN \\\n", + "0 0.0 1.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 0.0 \n", + "\n", + " Condition 1_RRAe Condition 1_RRAn Condition 1_RRNe Condition 1_RRNn \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Condition 2_Feedr Condition 2_Norm Condition 2_PosA Condition 2_PosN \\\n", + "0 0.0 1.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 0.0 \n", + "\n", + " Condition 2_RRAe Condition 2_RRAn Condition 2_RRNn Bldg Type_2fmCon \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Bldg Type_Duplex Bldg Type_Twnhs Bldg Type_TwnhsE House Style_1.5Unf \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " House Style_1Story House Style_2.5Fin House Style_2.5Unf \\\n", + "0 1.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 \n", + "2 1.0 0.0 0.0 \n", + "3 1.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " House Style_2Story House Style_SFoyer House Style_SLvl Roof Style_Gable \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 1.0 0.0 0.0 1.0 \n", + "\n", + " Roof Style_Gambrel Roof Style_Hip Roof Style_Mansard Roof Style_Shed \\\n", + "0 0.0 1.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Roof Matl_CompShg Roof Matl_Membran Roof Matl_Metal Roof Matl_Roll \\\n", + "0 1.0 0.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 0.0 \n", + "2 1.0 0.0 0.0 0.0 \n", + "3 1.0 0.0 0.0 0.0 \n", + "4 1.0 0.0 0.0 0.0 \n", + "\n", + " Roof Matl_Tar&Grv Roof Matl_WdShake Roof Matl_WdShngl \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 1st_AsphShn Exterior 1st_BrkComm Exterior 1st_BrkFace \\\n", + "0 0.0 0.0 1.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 1.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 1st_CBlock Exterior 1st_CemntBd Exterior 1st_HdBoard \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 1st_ImStucc Exterior 1st_MetalSd Exterior 1st_Plywood \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 1st_PreCast Exterior 1st_Stone Exterior 1st_Stucco \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 1st_VinylSd Exterior 1st_Wd Sdng Exterior 1st_WdShing \\\n", + "0 0.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 1.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_AsphShn Exterior 2nd_Brk Cmn Exterior 2nd_BrkFace \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 1.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_CBlock Exterior 2nd_CmentBd Exterior 2nd_HdBoard \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_ImStucc Exterior 2nd_MetalSd Exterior 2nd_Other \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_Plywood Exterior 2nd_PreCast Exterior 2nd_Stone \\\n", + "0 1.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_Stucco Exterior 2nd_VinylSd Exterior 2nd_Wd Sdng \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 \n", + "2 0.0 0.0 1.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 \n", + "\n", + " Exterior 2nd_Wd Shng Exter Qual_Fa Exter Qual_Gd Exter Qual_TA \\\n", + "0 0.0 0.0 0.0 1.0 \n", + "1 0.0 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 1.0 \n", + "3 0.0 0.0 1.0 0.0 \n", + "4 0.0 0.0 0.0 1.0 \n", + "\n", + " Exter Cond_Fa Exter Cond_Gd Exter Cond_Po Exter Cond_TA \\\n", + "0 0.0 0.0 0.0 1.0 \n", + "1 0.0 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 1.0 \n", + "3 0.0 0.0 0.0 1.0 \n", + "4 0.0 0.0 0.0 1.0 \n", + "\n", + " Foundation_CBlock Foundation_PConc Foundation_Slab Foundation_Stone \\\n", + "0 1.0 0.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 0.0 \n", + "2 1.0 0.0 0.0 0.0 \n", + "3 1.0 0.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 0.0 \n", + "\n", + " Foundation_Wood Bsmt Qual_Fa Bsmt Qual_Gd Bsmt Qual_Po Bsmt Qual_TA \\\n", + "0 0.0 0.0 0.0 0.0 1.0 \n", + "1 0.0 0.0 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 0.0 1.0 \n", + "3 0.0 0.0 0.0 0.0 1.0 \n", + "4 0.0 0.0 1.0 0.0 0.0 \n", + "\n", + " Bsmt Cond_Fa Bsmt Cond_Gd Bsmt Cond_Po Bsmt Cond_TA Bsmt Exposure_Gd \\\n", + "0 0.0 1.0 0.0 0.0 1.0 \n", + "1 0.0 0.0 0.0 1.0 0.0 \n", + "2 0.0 0.0 0.0 1.0 0.0 \n", + "3 0.0 0.0 0.0 1.0 0.0 \n", + "4 0.0 0.0 0.0 1.0 0.0 \n", + "\n", + " Bsmt Exposure_Mn Bsmt Exposure_No BsmtFin Type 1_BLQ BsmtFin Type 1_GLQ \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 1.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 1.0 \n", + "\n", + " BsmtFin Type 1_LwQ BsmtFin Type 1_Rec BsmtFin Type 1_Unf \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " BsmtFin Type 2_BLQ BsmtFin Type 2_GLQ BsmtFin Type 2_LwQ \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " BsmtFin Type 2_Rec BsmtFin Type 2_Unf Heating_GasA Heating_GasW \\\n", + "0 0.0 1.0 1.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 0.0 1.0 1.0 0.0 \n", + "3 0.0 1.0 1.0 0.0 \n", + "4 0.0 1.0 1.0 0.0 \n", + "\n", + " Heating_Grav Heating_OthW Heating_Wall Heating QC_Fa Heating QC_Gd \\\n", + "0 0.0 0.0 0.0 1.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 1.0 \n", + "\n", + " Heating QC_Po Heating QC_TA Central Air_Y Electrical_FuseF \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 1.0 1.0 0.0 \n", + "2 0.0 1.0 1.0 0.0 \n", + "3 0.0 0.0 1.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 \n", + "\n", + " Electrical_FuseP Electrical_Mix Electrical_SBrkr Kitchen Qual_Fa \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 0.0 0.0 1.0 0.0 \n", + "3 0.0 0.0 1.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 \n", + "\n", + " Kitchen Qual_Gd Kitchen Qual_Po Kitchen Qual_TA Functional_Maj2 \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 1.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 \n", + "\n", + " Functional_Min1 Functional_Min2 Functional_Mod Functional_Sal \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Functional_Sev Functional_Typ Fireplace Qu_Fa Fireplace Qu_Gd \\\n", + "0 0.0 1.0 0.0 1.0 \n", + "1 0.0 1.0 0.0 1.0 \n", + "2 0.0 1.0 0.0 1.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 0.0 \n", + "\n", + " Fireplace Qu_Po Fireplace Qu_TA Garage Type_Attchd Garage Type_Basment \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 0.0 0.0 1.0 0.0 \n", + "3 0.0 1.0 1.0 0.0 \n", + "4 0.0 1.0 1.0 0.0 \n", + "\n", + " Garage Type_BuiltIn Garage Type_CarPort Garage Type_Detchd \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Garage Finish_RFn Garage Finish_Unf Garage Qual_Fa Garage Qual_Gd \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Garage Qual_Po Garage Qual_TA Garage Cond_Fa Garage Cond_Gd \\\n", + "0 0.0 1.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 0.0 \n", + "\n", + " Garage Cond_Po Garage Cond_TA Paved Drive_P Paved Drive_Y \\\n", + "0 0.0 1.0 1.0 0.0 \n", + "1 0.0 1.0 0.0 1.0 \n", + "2 0.0 1.0 0.0 1.0 \n", + "3 0.0 1.0 0.0 1.0 \n", + "4 0.0 1.0 0.0 1.0 \n", + "\n", + " Sale Type_CWD Sale Type_Con Sale Type_ConLD Sale Type_ConLI \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Sale Type_ConLw Sale Type_New Sale Type_Oth Sale Type_VWD \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Sale Type_WD Sale Condition_AdjLand Sale Condition_Alloca \\\n", + "0 1.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 \n", + "2 1.0 0.0 0.0 \n", + "3 1.0 0.0 0.0 \n", + "4 1.0 0.0 0.0 \n", + "\n", + " Sale Condition_Family Sale Condition_Normal Sale Condition_Partial \n", + "0 0.0 1.0 0.0 \n", + "1 0.0 1.0 0.0 \n", + "2 0.0 1.0 0.0 \n", + "3 0.0 1.0 0.0 \n", + "4 0.0 1.0 0.0 \n" + ] + } + ], + "source": [ + "# TODO: Identify categorical variables.\n", + "# Use methods like:\n", + "# - One-hot encoding\n", + "# - Ordinal encoding\n", + "# Decide what makes sense for each feature.\n", + "\n", + "from sklearn.preprocessing import LabelEncoder, OrdinalEncoder, OneHotEncoder\n", + "\n", + "for col in col_cat:\n", + " print(df[col].unique())\n", + "\n", + "# df_oe = df.copy() # keep a separate version\n", + "# ordinal_encoders = {}\n", + "# for col in col_cat:\n", + "# oe = OrdinalEncoder()\n", + "# df_oe[col] = oe.fit_transform(df_oe[col].values.reshape(-1, 1))\n", + "# ordinal_encoders[col] = oe # store encoder if needed later\n", + "# print(df_oe.head())\n", + "\n", + "df_ohe = df.copy() # keep a separate version\n", + "label_encoders = {}\n", + "ohe = OneHotEncoder(drop=\"first\", sparse_output=False) # Set sparse_output to False\n", + "encoded = ohe.fit_transform(df[col_cat])\n", + "\n", + "encoded_df = pd.DataFrame(encoded, columns=ohe.get_feature_names_out(col_cat), index=df.index)\n", + "df = pd.concat([df.drop(columns=col_cat), encoded_df], axis=1)\n", + "\n", + "print(df.head())\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ayerWnrFj-OS" + }, + "source": [ + "## 🔹 Step 6: Feature Scaling" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "cmOzqeCcj9_P", + "outputId": "1bca511f-1544-4bcd-cf91-f5de73de6e9c" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MS SubClass Lot Frontage Lot Area Overall Qual Overall Cond \\\n", + "0 0.000000 0.410959 0.142420 0.555556 0.500 \n", + "1 0.000000 0.202055 0.048246 0.444444 0.625 \n", + "2 0.000000 0.205479 0.060609 0.555556 0.625 \n", + "3 0.000000 0.246575 0.046087 0.666667 0.500 \n", + "4 0.235294 0.181507 0.058566 0.444444 0.500 \n", + "\n", + " Year Built Year Remod/Add Mas Vnr Area BsmtFin SF 1 BsmtFin SF 2 \\\n", + "0 0.637681 0.166667 0.0700 0.113218 0.000000 \n", + "1 0.644928 0.183333 0.0000 0.082920 0.094364 \n", + "2 0.623188 0.133333 0.0675 0.163536 0.000000 \n", + "3 0.695652 0.300000 0.0000 0.188696 0.000000 \n", + "4 0.905797 0.800000 0.0000 0.140149 0.000000 \n", + "\n", + " Bsmt Unf SF Total Bsmt SF 1st Flr SF 2nd Flr SF Low Qual Fin SF \\\n", + "0 0.188784 0.176759 0.277673 0.000000 0.0 \n", + "1 0.115582 0.144354 0.118042 0.000000 0.0 \n", + "2 0.173801 0.217512 0.208990 0.000000 0.0 \n", + "3 0.447346 0.345336 0.373031 0.000000 0.0 \n", + "4 0.058647 0.151882 0.124764 0.339467 0.0 \n", + "\n", + " Gr Liv Area Bsmt Full Bath Bsmt Half Bath Full Bath Half Bath \\\n", + "0 0.249058 0.333333 0.0 0.25 0.0 \n", + "1 0.105878 0.000000 0.0 0.25 0.0 \n", + "2 0.187453 0.000000 0.0 0.25 0.5 \n", + "3 0.334589 0.333333 0.0 0.50 0.5 \n", + "4 0.243971 0.000000 0.0 0.50 0.5 \n", + "\n", + " Bedroom AbvGr Kitchen AbvGr TotRms AbvGrd Fireplaces Garage Yr Blt \\\n", + "0 0.375 0.333333 0.384615 0.50 0.208333 \n", + "1 0.250 0.333333 0.230769 0.00 0.211538 \n", + "2 0.375 0.333333 0.307692 0.00 0.201923 \n", + "3 0.375 0.333333 0.461538 0.50 0.233974 \n", + "4 0.375 0.333333 0.307692 0.25 0.326923 \n", + "\n", + " Garage Cars Garage Area Wood Deck SF Open Porch SF Enclosed Porch \\\n", + "0 0.4 0.354839 0.147472 0.083558 0.0 \n", + "1 0.2 0.490591 0.098315 0.000000 0.0 \n", + "2 0.2 0.209677 0.275983 0.048518 0.0 \n", + "3 0.4 0.350806 0.000000 0.000000 0.0 \n", + "4 0.4 0.323925 0.148876 0.045822 0.0 \n", + "\n", + " 3Ssn Porch Screen Porch Pool Area Misc Val Mo Sold Yr Sold \\\n", + "0 0.0 0.000000 0.0 0.000000 0.363636 1.0 \n", + "1 0.0 0.208333 0.0 0.000000 0.454545 1.0 \n", + "2 0.0 0.000000 0.0 0.735294 0.454545 1.0 \n", + "3 0.0 0.000000 0.0 0.000000 0.272727 1.0 \n", + "4 0.0 0.000000 0.0 0.000000 0.181818 1.0 \n", + "\n", + " SalePrice MS Zoning_C (all) MS Zoning_FV MS Zoning_I (all) \\\n", + "0 0.272444 0.0 0.0 0.0 \n", + "1 0.124238 0.0 0.0 0.0 \n", + "2 0.214509 0.0 0.0 0.0 \n", + "3 0.311517 0.0 0.0 0.0 \n", + "4 0.238626 0.0 0.0 0.0 \n", + "\n", + " MS Zoning_RH MS Zoning_RL MS Zoning_RM Street_Pave Lot Shape_IR2 \\\n", + "0 0.0 1.0 0.0 1.0 0.0 \n", + "1 1.0 0.0 0.0 1.0 0.0 \n", + "2 0.0 1.0 0.0 1.0 0.0 \n", + "3 0.0 1.0 0.0 1.0 0.0 \n", + "4 0.0 1.0 0.0 1.0 0.0 \n", + "\n", + " Lot Shape_IR3 Lot Shape_Reg Land Contour_HLS Land Contour_Low \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Land Contour_Lvl Utilities_NoSeWa Utilities_NoSewr Lot Config_CulDSac \\\n", + "0 1.0 0.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 0.0 \n", + "2 1.0 0.0 0.0 0.0 \n", + "3 1.0 0.0 0.0 0.0 \n", + "4 1.0 0.0 0.0 0.0 \n", + "\n", + " Lot Config_FR2 Lot Config_FR3 Lot Config_Inside Land Slope_Mod \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 \n", + "\n", + " Land Slope_Sev Neighborhood_Blueste Neighborhood_BrDale \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_BrkSide Neighborhood_ClearCr Neighborhood_CollgCr \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_Crawfor Neighborhood_Edwards Neighborhood_Gilbert \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 1.0 \n", + "\n", + " Neighborhood_Greens Neighborhood_GrnHill Neighborhood_IDOTRR \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_Landmrk Neighborhood_MeadowV Neighborhood_Mitchel \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_NAmes Neighborhood_NPkVill Neighborhood_NWAmes \\\n", + "0 1.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 \n", + "2 1.0 0.0 0.0 \n", + "3 1.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_NoRidge Neighborhood_NridgHt Neighborhood_OldTown \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_SWISU Neighborhood_Sawyer Neighborhood_SawyerW \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_Somerst Neighborhood_StoneBr Neighborhood_Timber \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Neighborhood_Veenker Condition 1_Feedr Condition 1_Norm \\\n", + "0 0.0 0.0 1.0 \n", + "1 0.0 1.0 0.0 \n", + "2 0.0 0.0 1.0 \n", + "3 0.0 0.0 1.0 \n", + "4 0.0 0.0 1.0 \n", + "\n", + " Condition 1_PosA Condition 1_PosN Condition 1_RRAe Condition 1_RRAn \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Condition 1_RRNe Condition 1_RRNn Condition 2_Feedr Condition 2_Norm \\\n", + "0 0.0 0.0 0.0 1.0 \n", + "1 0.0 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 1.0 \n", + "3 0.0 0.0 0.0 1.0 \n", + "4 0.0 0.0 0.0 1.0 \n", + "\n", + " Condition 2_PosA Condition 2_PosN Condition 2_RRAe Condition 2_RRAn \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Condition 2_RRNn Bldg Type_2fmCon Bldg Type_Duplex Bldg Type_Twnhs \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Bldg Type_TwnhsE House Style_1.5Unf House Style_1Story \\\n", + "0 0.0 0.0 1.0 \n", + "1 0.0 0.0 1.0 \n", + "2 0.0 0.0 1.0 \n", + "3 0.0 0.0 1.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " House Style_2.5Fin House Style_2.5Unf House Style_2Story \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 1.0 \n", + "\n", + " House Style_SFoyer House Style_SLvl Roof Style_Gable Roof Style_Gambrel \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 \n", + "\n", + " Roof Style_Hip Roof Style_Mansard Roof Style_Shed Roof Matl_CompShg \\\n", + "0 1.0 0.0 0.0 1.0 \n", + "1 0.0 0.0 0.0 1.0 \n", + "2 1.0 0.0 0.0 1.0 \n", + "3 1.0 0.0 0.0 1.0 \n", + "4 0.0 0.0 0.0 1.0 \n", + "\n", + " Roof Matl_Membran Roof Matl_Metal Roof Matl_Roll Roof Matl_Tar&Grv \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Roof Matl_WdShake Roof Matl_WdShngl Exterior 1st_AsphShn \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 1st_BrkComm Exterior 1st_BrkFace Exterior 1st_CBlock \\\n", + "0 0.0 1.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 1st_CemntBd Exterior 1st_HdBoard Exterior 1st_ImStucc \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 1st_MetalSd Exterior 1st_Plywood Exterior 1st_PreCast \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 1st_Stone Exterior 1st_Stucco Exterior 1st_VinylSd \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 1.0 \n", + "\n", + " Exterior 1st_Wd Sdng Exterior 1st_WdShing Exterior 2nd_AsphShn \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 1.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_Brk Cmn Exterior 2nd_BrkFace Exterior 2nd_CBlock \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_CmentBd Exterior 2nd_HdBoard Exterior 2nd_ImStucc \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_MetalSd Exterior 2nd_Other Exterior 2nd_Plywood \\\n", + "0 0.0 0.0 1.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_PreCast Exterior 2nd_Stone Exterior 2nd_Stucco \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Exterior 2nd_VinylSd Exterior 2nd_Wd Sdng Exterior 2nd_Wd Shng \\\n", + "0 0.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 1.0 0.0 0.0 \n", + "\n", + " Exter Qual_Fa Exter Qual_Gd Exter Qual_TA Exter Cond_Fa Exter Cond_Gd \\\n", + "0 0.0 0.0 1.0 0.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 0.0 \n", + "2 0.0 0.0 1.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 0.0 \n", + "\n", + " Exter Cond_Po Exter Cond_TA Foundation_CBlock Foundation_PConc \\\n", + "0 0.0 1.0 1.0 0.0 \n", + "1 0.0 1.0 1.0 0.0 \n", + "2 0.0 1.0 1.0 0.0 \n", + "3 0.0 1.0 1.0 0.0 \n", + "4 0.0 1.0 0.0 1.0 \n", + "\n", + " Foundation_Slab Foundation_Stone Foundation_Wood Bsmt Qual_Fa \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Bsmt Qual_Gd Bsmt Qual_Po Bsmt Qual_TA Bsmt Cond_Fa Bsmt Cond_Gd \\\n", + "0 0.0 0.0 1.0 0.0 1.0 \n", + "1 0.0 0.0 1.0 0.0 0.0 \n", + "2 0.0 0.0 1.0 0.0 0.0 \n", + "3 0.0 0.0 1.0 0.0 0.0 \n", + "4 1.0 0.0 0.0 0.0 0.0 \n", + "\n", + " Bsmt Cond_Po Bsmt Cond_TA Bsmt Exposure_Gd Bsmt Exposure_Mn \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 1.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 0.0 \n", + "\n", + " Bsmt Exposure_No BsmtFin Type 1_BLQ BsmtFin Type 1_GLQ \\\n", + "0 0.0 1.0 0.0 \n", + "1 1.0 0.0 0.0 \n", + "2 1.0 0.0 0.0 \n", + "3 1.0 0.0 0.0 \n", + "4 1.0 0.0 1.0 \n", + "\n", + " BsmtFin Type 1_LwQ BsmtFin Type 1_Rec BsmtFin Type 1_Unf \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " BsmtFin Type 2_BLQ BsmtFin Type 2_GLQ BsmtFin Type 2_LwQ \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 1.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " BsmtFin Type 2_Rec BsmtFin Type 2_Unf Heating_GasA Heating_GasW \\\n", + "0 0.0 1.0 1.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 0.0 1.0 1.0 0.0 \n", + "3 0.0 1.0 1.0 0.0 \n", + "4 0.0 1.0 1.0 0.0 \n", + "\n", + " Heating_Grav Heating_OthW Heating_Wall Heating QC_Fa Heating QC_Gd \\\n", + "0 0.0 0.0 0.0 1.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 1.0 \n", + "\n", + " Heating QC_Po Heating QC_TA Central Air_Y Electrical_FuseF \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 1.0 1.0 0.0 \n", + "2 0.0 1.0 1.0 0.0 \n", + "3 0.0 0.0 1.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 \n", + "\n", + " Electrical_FuseP Electrical_Mix Electrical_SBrkr Kitchen Qual_Fa \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 0.0 0.0 1.0 0.0 \n", + "3 0.0 0.0 1.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 \n", + "\n", + " Kitchen Qual_Gd Kitchen Qual_Po Kitchen Qual_TA Functional_Maj2 \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 1.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 1.0 0.0 \n", + "\n", + " Functional_Min1 Functional_Min2 Functional_Mod Functional_Sal \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Functional_Sev Functional_Typ Fireplace Qu_Fa Fireplace Qu_Gd \\\n", + "0 0.0 1.0 0.0 1.0 \n", + "1 0.0 1.0 0.0 1.0 \n", + "2 0.0 1.0 0.0 1.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 0.0 \n", + "\n", + " Fireplace Qu_Po Fireplace Qu_TA Garage Type_Attchd Garage Type_Basment \\\n", + "0 0.0 0.0 1.0 0.0 \n", + "1 0.0 0.0 1.0 0.0 \n", + "2 0.0 0.0 1.0 0.0 \n", + "3 0.0 1.0 1.0 0.0 \n", + "4 0.0 1.0 1.0 0.0 \n", + "\n", + " Garage Type_BuiltIn Garage Type_CarPort Garage Type_Detchd \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " Garage Finish_RFn Garage Finish_Unf Garage Qual_Fa Garage Qual_Gd \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Garage Qual_Po Garage Qual_TA Garage Cond_Fa Garage Cond_Gd \\\n", + "0 0.0 1.0 0.0 0.0 \n", + "1 0.0 1.0 0.0 0.0 \n", + "2 0.0 1.0 0.0 0.0 \n", + "3 0.0 1.0 0.0 0.0 \n", + "4 0.0 1.0 0.0 0.0 \n", + "\n", + " Garage Cond_Po Garage Cond_TA Paved Drive_P Paved Drive_Y \\\n", + "0 0.0 1.0 1.0 0.0 \n", + "1 0.0 1.0 0.0 1.0 \n", + "2 0.0 1.0 0.0 1.0 \n", + "3 0.0 1.0 0.0 1.0 \n", + "4 0.0 1.0 0.0 1.0 \n", + "\n", + " Sale Type_CWD Sale Type_Con Sale Type_ConLD Sale Type_ConLI \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Sale Type_ConLw Sale Type_New Sale Type_Oth Sale Type_VWD \\\n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 0.0 0.0 \n", + "4 0.0 0.0 0.0 0.0 \n", + "\n", + " Sale Type_WD Sale Condition_AdjLand Sale Condition_Alloca \\\n", + "0 1.0 0.0 0.0 \n", + "1 1.0 0.0 0.0 \n", + "2 1.0 0.0 0.0 \n", + "3 1.0 0.0 0.0 \n", + "4 1.0 0.0 0.0 \n", + "\n", + " Sale Condition_Family Sale Condition_Normal Sale Condition_Partial \n", + "0 0.0 1.0 0.0 \n", + "1 0.0 1.0 0.0 \n", + "2 0.0 1.0 0.0 \n", + "3 0.0 1.0 0.0 \n", + "4 0.0 1.0 0.0 \n" + ] + } + ], + "source": [ + "# TODO: Try different scaling techniques:\n", + "# - StandardScaler\n", + "# - MinMaxScaler\n", + "# - RobustScaler\n", + "# Decide based on the distribution of features.\n", + "\n", + "# print(df.head())\n", + "from sklearn.preprocessing import StandardScaler, MinMaxScaler, RobustScaler\n", + "# df_ss = df.copy()\n", + "# df_mm = df.copy()\n", + "# df_rs = df.copy()\n", + "\n", + "# scaler = StandardScaler()\n", + "# df_ss[col_num] = scaler.fit_transform(df_ss[col_num])\n", + "# print(df_ss.head())\n", + "\n", + "# col_num = df1.select_dtypes(exclude='object').columns\n", + "scaler = MinMaxScaler()\n", + "df[col_num] = scaler.fit_transform(df[col_num])\n", + "print(df.head())\n", + "\n", + "# scaler = RobustScaler()\n", + "# df_rs[col_num] = scaler.fit_transform(df_rs[col_num])\n", + "# print(df_rs.head())\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "B8NozkS2kCDE" + }, + "source": [ + "## 🔹 Step 7: Feature Selection & Feature Creation 💡" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "irzYn2YHkFuu", + "outputId": "647e3753-3f28-4f7b-fbce-7a5ae5ccc5ac" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Index(['MS SubClass', 'Lot Frontage', 'Lot Area', 'Overall Qual',\n", + " 'Overall Cond', 'Year Built', 'Year Remod/Add', 'Mas Vnr Area',\n", + " 'BsmtFin SF 1', 'BsmtFin SF 2',\n", + " ...\n", + " 'Sale Type_VWD', 'Sale Type_WD ', 'Sale Condition_AdjLand',\n", + " 'Sale Condition_Alloca', 'Sale Condition_Family',\n", + " 'Sale Condition_Normal', 'Sale Condition_Partial', 'HouseRenew',\n", + " 'Quality_x_Size', 'Log_LotArea'],\n", + " dtype='object', length=250)\n" + ] + } + ], + "source": [ + "# TODO: Create at least 2 NEW features.\n", + "# Examples:\n", + "# - Age of house: df[\"HouseAge\"] = df[\"YrSold\"] - df[\"YearBuilt\"]\n", + "# - Interaction: df[\"Quality_x_Size\"] = df[\"OverallQual\"] * df[\"GrLivArea\"]\n", + "# - Non-linear: df[\"Log_LotArea\"] = np.log1p(df[\"LotArea\"])\n", + "\n", + "df[\"HouseRenew\"] = df[\"Year Remod/Add\"] - df[\"Year Built\"]\n", + "df[\"Quality_x_Size\"] = df[\"Overall Qual\"] * df[\"Gr Liv Area\"]\n", + "df[\"Log_LotArea\"] = np.log1p(df[\"Lot Area\"])\n", + "\n", + "print(df.columns)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "neYQVXyLpYqe" + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ohlGPfhykRMs" + }, + "source": [ + "## 🔹 Step 8: Outlier Handling" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "l0Yx7uH5kP_H", + "outputId": "4bcb801e-ccbe-4b66-b371-80bbecade088" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(2051, 250)\n", + "(1846, 250)\n", + "(1084, 250)\n", + "(1084, 250)\n" + ] + } + ], + "source": [ + "# TODO: Detect and handle outliers.\n", + "# Methods:\n", + "# - IQR rule\n", + "# - Z-score\n", + "# - Visualization (boxplots, scatterplots)\n", + "\n", + "z_scores = np.abs((df[col_num] - df[col_num].mean()) / df[col_num].std())\n", + "outliers = (z_scores > 3).any(axis=1)\n", + "print(df[~outliers].shape)\n", + "\n", + "Q1 = df[col_num].quantile(0.25)\n", + "Q3 = df[col_num].quantile(0.75)\n", + "IQR = Q3 - Q1\n", + "outliers = ((df[col_num] < (Q1 - 1.5 * IQR)) | (df[col_num] > (Q3 + 1.5 * IQR))).any(axis=1)\n", + "print(df[outliers].shape)\n", + "print(df[~outliers].shape)\n", + "\n", + "df = df[~outliers]\n", + "print(df.shape)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "nDirz02_kU1e" + }, + "source": [ + "## 🔹 Step 9: Skewness Handling" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "id": "Bz0Kke71kTxQ", + "outputId": "48c01b20-9e1e-47f9-cd82-7682cd591927" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "MS SubClass\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.886349 -0.013707 1.504796e-31\n", + "1 Log1p 0.637040 -0.551829 1.237427e-19\n", + "2 Sqrt 0.054876 -1.504534 4.793558e-23\n", + "3 Box-Cox λ=0.075 -0.305718 -1.871246 9.786283e-39\n", + "4 Yeo–Johnson λ=-2.499 0.170848 -1.395905 5.544180e-21\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Lot Frontage\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original -0.164109 0.435822 1.203745e-03\n", + "1 Log1p -0.300100 0.491827 1.242747e-06\n", + "2 Sqrt -0.736394 1.091410 1.104070e-33\n", + "3 Box-Cox λ=1.175 0.020738 0.384830 3.393478e-02\n", + "4 Yeo–Johnson λ=2.291 0.011579 0.423758 1.712140e-02\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Lot Area\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.193318 0.491558 1.458799e-04\n", + "1 Log1p 0.148704 0.458555 1.175331e-03\n", + "2 Sqrt -0.503415 0.730164 6.742263e-16\n", + "3 Box-Cox λ=0.874 0.025518 0.446418 1.046792e-02\n", + "4 Yeo–Johnson λ=-3.504 -0.005552 0.381210 3.745513e-02\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Overall Qual\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original -0.041368 -0.626607 0.000121\n", + "1 Log1p -0.225678 -0.518858 0.000023\n", + "2 Sqrt -0.315054 -0.371808 0.000006\n", + "3 Box-Cox λ=0.981 -0.051116 -0.622330 0.000126\n", + "4 Yeo–Johnson λ=1.115 -0.020577 -0.631373 0.000118\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Overall Cond\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 1.315890 0.667405 5.008987e-73\n", + "1 Log1p 1.234379 0.560111 1.401963e-63\n", + "2 Sqrt 1.199503 0.539343 5.021128e-60\n", + "3 Box-Cox λ=-2.344 -0.149502 3.012413 1.320834e-90\n", + "4 Yeo–Johnson λ=-8.828 -0.118200 2.786273 2.044973e-77\n" + ] + }, + { + "data": { + "image/png": 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    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Year Built\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original -0.984449 0.007311 9.524967e-39\n", + "1 Log1p -1.179310 0.742862 1.061442e-60\n", + "2 Sqrt -1.273533 1.229468 3.515338e-79\n", + "3 Box-Cox λ=2.968 -0.448363 -1.353507 1.398393e-26\n", + "4 Yeo–Johnson λ=6.632 -0.387527 -1.418956 2.295898e-26\n" + ] + }, + { + "data": { + "image/png": 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    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Year Remod/Add\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original -0.883418 -0.752479 6.751235e-37\n", + "1 Log1p -1.048502 -0.383627 2.675912e-45\n", + "2 Sqrt -1.444760 0.931803 3.941073e-91\n", + "3 Box-Cox λ=0.558 -1.337485 0.555913 6.158434e-74\n", + "4 Yeo–Johnson λ=3.858 -0.499636 -1.331199 6.700992e-28\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Mas Vnr Area\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 1.246372 0.368818 5.276675e-63\n", + "1 Log1p 1.177910 0.125587 2.588339e-55\n", + "2 Sqrt 0.688912 -1.175103 6.879950e-33\n", + "3 Box-Cox λ=-0.084 0.315624 -1.888920 1.251314e-39\n", + "4 Yeo–Johnson λ=-16.227 0.608547 -1.439779 1.381142e-35\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "BsmtFin SF 1\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.427973 -0.924887 2.658369e-16\n", + "1 Log1p 0.345378 -1.087329 5.304488e-17\n", + "2 Sqrt -0.173369 -1.576481 2.789634e-26\n", + "3 Box-Cox λ=0.159 -0.557835 -1.535081 4.788046e-36\n", + "4 Yeo–Johnson λ=-3.521 0.110621 -1.448212 8.908563e-22\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "BsmtFin SF 2\n", + " Column is constant, skipping transformations.\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original NaN NaN NaN\n", + "No need to skewness\n", + "Bsmt Unf SF\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.625519 -0.508066 1.312548e-18\n", + "1 Log1p 0.404943 -0.766226 6.437478e-13\n", + "2 Sqrt -0.194340 -0.312149 3.653141e-03\n", + "3 Box-Cox λ=0.469 -0.286105 -0.144394 3.838770e-04\n", + "4 Yeo–Johnson λ=-1.560 0.068859 -0.939326 1.446187e-09\n" + ] + }, + { + "data": { + "image/png": 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    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Total Bsmt SF\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.235075 -0.264327 0.001402\n", + "1 Log1p 0.125004 -0.241257 0.065479\n", + "2 Sqrt -0.228389 0.245399 0.002307\n", + "3 Box-Cox λ=0.730 0.002251 -0.096941 0.808409\n", + "4 Yeo–Johnson λ=-1.070 0.002995 -0.170016 0.520173\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "1st Flr SF\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.506196 -0.539185 1.248151e-13\n", + "1 Log1p 0.413799 -0.658863 1.058932e-11\n", + "2 Sqrt 0.167969 -0.732494 4.273412e-07\n", + "3 Box-Cox λ=0.252 -0.019610 -0.642286 8.687160e-05\n", + "4 Yeo–Johnson λ=-3.964 0.060979 -0.843186 7.605624e-08\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "2nd Flr SF\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.731936 -1.044630 1.904799e-32\n", + "1 Log1p 0.646686 -1.280826 3.187818e-33\n", + "2 Sqrt 0.492646 -1.637604 1.501389e-36\n", + "3 Box-Cox λ=-0.093 0.395762 -1.842275 3.696521e-40\n", + "4 Yeo–Johnson λ=-4.331 0.463803 -1.710962 7.071556e-38\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Low Qual Fin SF\n", + " Column is constant, skipping transformations.\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original NaN NaN NaN\n", + "No need to skewness\n", + "Gr Liv Area\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.442162 -0.045347 2.040961e-08\n", + "1 Log1p 0.293152 -0.257306 9.532551e-05\n", + "2 Sqrt 0.018849 -0.422838 1.708059e-02\n", + "3 Box-Cox λ=0.446 -0.026264 -0.436018 1.283401e-02\n", + "4 Yeo–Johnson λ=-1.978 0.018648 -0.505353 3.031253e-03\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Bsmt Full Bath\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.34834 -1.878659 4.210428e-40\n", + "1 Log1p 0.34834 -1.878659 4.210428e-40\n", + "2 Sqrt 0.34834 -1.878659 4.210428e-40\n", + "3 Box-Cox λ=-0.082 0.34834 -1.878659 4.210428e-40\n", + "4 Yeo–Johnson λ=-3.644 0.34834 -1.878659 4.210428e-40\n" + ] + }, + { + "data": { + "image/png": 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lb+Vy5+LJvxVXxy9Pfia+yF/uK/zpO7y/fF/2l++mef0b8dakVF7PZdiwYY59w8PDbZ07d7bt3r3b5oufyZYtW2xRUVEmJlx//fW2F154wfbvv//m6TWD9J+ra+gFAAAAAAAA5A1jSgEAAAAAAMByJKUAAAAAAABgOZJSAAAAAAAAsBxJKQAAAAAAAFiOpBQAAAAAAAAsR1IKAAAAAAAAliMpBQAAAAAAAMuRlAK8SL9+/aR79+6Ox23btpVhw4Z5rDyefn0AQFbECgDA5RAr4CtISsHnLq5BQUGOpWzZsnLbbbfJt99+69bXff7556Vhw4ZXtF/G8tmXDRs2uKVcS5YscXqdEiVKSJMmTWTVqlV5Os7GjRvN80+dOuWWcgKAlYgVzogVAJAVscIZsQKeQlIKPkeDxbFjx8ySkJAghQoVkttvv128RZ06dRzlsy9t2rRx2+uFhoY6Xufrr7+WmJgYueeeeyQpKcltrwkA3o5Y4YxYAQBZESucESvgCSSl4HOCg4MlIiLCLFrL8Mwzz8iRI0fkjz/+MNsvXLggQ4YMkQoVKkhISIhcd911MnnyZMfzNXP/2muvmYBTrFgxqVWrliQmJsqBAwdMs9LixYtLy5Yt5eDBg45ag/Hjx8s333zjqDnQdTnRYGYvn30pUqRItrUiM2fOlCpVqlzV+6Hlsb9O9erVZdKkSVKgQAGnWp633npLmjZtKiVLljT73X///XLixAmz7ZdffpF27dqZ30uXLm2OpzVHdunp6TJy5EgpU6aMea6eBwB4O2KFM2IFAGRFrHBGrIAnkJSCTzt79qy8/fbbUq1aNdPkVs2ePVs+/PBDee+990xW/5133slygZ44caL06dNH9uzZIzVr1jQX00ceeURiY2Nl586dYrPZTABS9957r/znP/9xqqnQdd7o0qVL8uabb5rfGzdu7Fh/8eJFc84aANesWWMChj1AREZGyn//+1/zu75fen6zZs1yPFePpwF127ZtMnXqVJkwYYKsX7/e8nMDgPwiVjgjVgBAVsQKZ8QKWKWQZa8EuMjatWtNH2eVmppqai50nWbx1eHDh01mv3Xr1iY7rzUamfXv3980RVWjRo2S6OhoGTNmjGmiqp588kmzjypatKh5PXtNxeXs3bvXUT5Vu3Zt2b59u7jL6dOnHa/3zz//SOHCheX111+XG264wbHPQw895Pj9+uuvNwG2WbNmJvjqc7W2QpUvX15KlSrldPz69evLuHHjzO/6vr766qumefOtt97qtnMCgKtFrHBGrACArIgVzogV8ASSUvA52iR03rx55ve///5b5s6dK506dTIXaA0UmqnXC1uNGjVMP3FtTtuxY8csF0S78PBw87NevXpO686fPy8pKSmmb3Ve6OtqjUrGZsHupE1nd+/ebX4/d+6cGfzw0UcfNTU8Xbt2Net37dplmsdqjYa+Z9p01h5oNbjlJuN7pTRY25voAoC3IlY4I1YAQFbECmfECngCSSn4HG3yqc1q7d544w0JCwuTBQsWmH7P2rz00KFD8umnn5oLqdZcdOjQQd5//33HczTrb6e1Hjmts19k80L7eWcsn53WuGjz3Yy0+evV0uNmfD292H/22Wfy0ksvmeChtT5aU6OLNjm+5pprTNDQx9pP/nIyvi/29yY/7wsAWIlYkfW4xAoAcEasyHpcYgWsRlIKPk8vZnoB1SamdloLof2zdbnrrrtMzcbJkycdzUnzExC0X/XV0It2cnKyCSD24KR9z92hYMGCjvfjxx9/lL/++kumTJli+nkr7d+e+fzU1Z4jAHgrYkVWxAoAcEasyIpYAXcjKQWfk5aWZi7CSpuMal9k7cNsb1I6ffp00xS0UaNGJqisXLnS9NnO3Kc5L3RAQ60l0Yt9pUqVTNPWvDaf1Rk4dCYPHdRPA1p8fLypdclrM97MNBjZ3w8NGDpY4Lp162Ts2LFmXeXKlU1wmDNnjml+u2/fPjM4YUbaPFkDmvah79y5s6O/OwD4KmKFM2IFAGRFrHBGrIAnMPsefI5edDU46BIVFSU7duwwAUIvzkov7HqB1qlKddA9nRHik08+cQxYmB89e/Y0tSLa71xrJt599908H0OniNV+6nFxcdKgQQPTV/2pp56Sq6X90+3vh77GtGnTzEwWzz33nNmu5dWpZvU90n7eWrPxyiuvOB3j2muvNdPT6jS42u/dPkMIAPgqYoUzYgUAZEWscEasgCcE2TJ3RgUAAAAAAADcjJZSAAAAAAAAsBxJKQAAAAAAAFiOpBQAAAAAAAAsR1IKAAAAAAAAliMpBQAAAAAAAMuRlAIAAAAAAIDlSEoBAAAAAADAciSlAAAAAAAAYDmSUgAAAAAAALAcSSkAAAAAAABYjqQUAAAAAAAALEdSCgAAAAAAAJYjKQUAAAAAAADLkZQCAAAAAACA5UhKAQAAAAAAwHIkpQAAAAAAAGA5klIAAAAAAACwHEkpwGK//PKLBAUFScWKFSUuLs7TxQGAgFWlShW5/fbbxZ/PLzQ0VAYNGiT//vuvp4sDAACQBUkpuNSSJUtMwiXjUr58eWnXrp18+umnHi3bxo0bpUePHhIRESFFihQx5eratausWrXK0nJcc8018uabb0q1atXkiSeekP3791v22j/88IPcdtttUqJECSlTpow8+OCD8scff1zx8z/88ENp3LixhISESOXKlWXcuHHZ3ujs2rXL3Ojpe62vVb9+fZk9e7ZcunTJsc9ff/0lL7/8srRp08a8J6VKlZIWLVrIihUrXHa+AFyrU6dOUrp0aTl+/HiWbadPn5YKFSpIVFSUpKenW1amtm3bSt26dS17PV8yc+ZMueeee2TBggWydOlSS15z8+bNcscdd0hkZKSJFRoHNO589dVXeTqOxoLo6GgpXry4iQ8tW7aUzz//PMf9v/zyS8f3jj///DPXY996661mvyFDhuSpTAAAwPVISsEtJkyYIG+99Zb5Ejxy5EiT+OjcubOsXbvWI+XR5Ikmxvbt2yePPPKIzJ8/X55++mk5e/as9OzZU5YtW2ZZWfQLdp8+feTtt98Wm81m2Wv/9ttvJgF04MABefHFF+Wpp56Sjz/+2Hw5v3DhwmWfr0nF7t27m5uDOXPmmN8nTZokQ4cOzZKQ0psHbRE2atQomTZtmlx//fXy5JNPyogRIxz7JSYmynPPPWeSY6NHj5YXXnhBihUrJr169TKfFwDvM3fuXHO9GD58eJZtzz77rEkGvP7661KgAF8vvIFepzUhVb16dROTrfDTTz+Zz//RRx81rYE11iQnJ5v4Ex8ff0XHeP755+W+++4zia3p06ebWKOVG7///nu2+2sSVGORxtfL0YoojT8AAMBL2AAXWrx4sU3/W+3YscNp/cmTJ22FCxe23X///ZaXaeXKlaZMd911l+3ChQtZtsfHx9s++ugjmye0bt3aVrt2bUte67HHHrMVLVrU9uuvvzrWrV+/3rw3r7322mWfr+Vs0KCB7eLFi451zz33nC0oKMj2ww8/ONYNHDjQVqRIEdtff/3l9Pw2bdrYQkNDHY9//vln2y+//OK0T3p6uq19+/a24OBg29mzZ/N9rgDc56WXXjLXjXXr1jnWbd++3VagQAHbyJEjLS/PzTffbKtTp06+nnvdddfZunTpYvN3o0ePNp/PsWPHPPL6qamptvDwcFtMTMxl901MTDRxZfr06Vd8/Hnz5tnKli1re/LJJ83/zT/++CPb/f755x9blSpVbBMmTDD7DR48OE/nAQAAXI+qTFhCW9cULVpUChUq5LQ+NTVV/vOf/5ja0ODgYKlRo4a88sorpgWR+ueff6RmzZpm0d/tTp48abqJaIucjF3CsjNmzBjTGmfRokVSuHDhLNtjYmKcxhQ5ceKEDBgwQMLDw03XgwYNGpjudhm3a3cz7TJiL6fSFkhaS3vvvfde8fuitdfff/+9acHlbv/973/NeWq3O7sOHTrIjTfeKO+9916uz9Uy6qLjkmT8DB9//HHzHrz//vuOdSkpKeZ90888I/289P+AXdWqVeW6665z2ke7U2jNflpamvz8889Xdb4A3ENbPGqrFf37P3/+vLkGa6sY/XvWVo4//vij3HXXXea6q9eCpk2bmq6/menf+N13323201aS2n1XW2+6gnYrnjhxotxwww0mtujYStqSS68tOXX9at68uSmvtuzM3NXN3jVdu6Dp+WsM0Ov9nXfemaUL9M6dO01cKVeunLnm6bXuoYceylPss7N3MVuzZo3poqj71qlT54pbHGWMNdqaKOO12kr6+ep7durUqSvqcqhd/rR1rb4f2qI5N/p9QFvbagvtzHEns6lTp5r3QVtvAQAAL+GGRBcCmL2l1IYNG0xN5YkTJ2z79u2zPfLII6aW9rPPPsvSKkZrRB9++GHbq6++auvatat5/rBhwxz7bd261VawYEHb8OHDHet69eplWv0kJSXlWp6ffvrJHO+hhx66ovKfO3fOVqtWLdOqS19v9uzZtptuuskcY+bMmVlaX82aNcs8vnTpkq1Vq1amJvjPP/+8otdKSUmxlShRwhxnzJgxWbafP3/evIdXslzOb7/9Zl5HWzhk9sADD9jKlCmT6/Pffvtt8/xt27Zl2VapUiVbjx49nGqsdV/9TL///nvTGkrX6Xua8T3MybPPPmuef/To0cvuC8Az9Lqs13T9e9W/a/2b1Vaner0PCwszLSv1eqPXdW0lqdf5VatWOZ6fnJxsrpclS5Y0LS61VYy2xNRjZtwvvy2l+vbt62ghGxcXZ+vTp4953L179ywtpWrUqGHKouei5W3cuLEpr55L5tjWqFEjE7fmzJlj+89//mNi0z333OPY7/jx47bSpUvbbrzxRtvLL79sW7BggTk/jSt5jX1K1+n7UqFCBdvEiRPNe3399dfbihUrdsWxxv4e6bE0nmWm8etKY012rY1zcvr0afMcbUkbGxtrXl/f48spV66c7Y477rDNmDHDtH7S50VERJj3PDuPP/64+fz//fdf27hx43JsKaWthPV7w7vvvmse01IKAADvQFIKLmX/4p550e5YS5Yscdp3zZo1ZtukSZOc1utNhH5ZP3DggGOdfqHVm5XNmzc7EkJXkuD44IMPzL765fZK2G+uNAljp1/Co6OjTQJJE0l29913n7kx0MSX3nzo8/ScrtTcuXPNc8qXL2+rWbPmFb+X2S2Xo90pdb+lS5dm2fb000+bbZoEy4n9/A4fPpxlW7NmzWwtWrRwPNYbgyFDhpgklL18euOmianL0S5/+n5kd+MEwLvY/8712qjXQ3XLLbfY6tWr53Q90SRMy5YtbdWrV3es0+SLXhv+97//OdadOXPGVrVqVdO9ShMl+U1K7dmzx5EYz+ipp54y6z///HOnpJSu09hip5UpGrM06ZT5etyhQwdzPnZaeaHXt1OnTpnHq1evzrYLe35jn+6n3aEzrvvmm2/M+pySNJl99913jlijcfT333932n7o0KErjjVffPGF7UppVz378/QctHJKu8/lRrv66/6ajNL/Vxp7VqxYYbvtttvM+vnz5zvtr++Fvv/2rqS5JaX0/dX/h3YkpQAA8A7OfakAF9HBTbVbmNJZmnRQ74cfflhKlixpZsBTn3zyiRQsWNDMQJeRdmnQLgY6sLZ9Zhwd9FQHSe/bt69pyn/zzTdneV52tCuZ0te9Elom7TagA6zaaZc/fS1dt2nTJkdXv1dffdXM6KfdVHRgV53Jrlu3blf8Hs2bN0/q1atn3hftpvDtt9+aLjF22v1j/fr14gr2ro/a9SMz7a5i3ye77VfyfPv7rPQz1S4zWn7tmqPb3333XTMIrb632j0vO9qlonfv3qZ7hw6kDsC76eQEeq0+d+6czJgxw3Sj0tnRtBvVmTNnzGKn1wPt2qcDVV977bXmWqvd5Vq3bu3YR2fq1C7CsbGxprtwfmfU02OrjBMr2GOLdpHTLoI68YVd7dq15aabbnI81m5m2p0uuy7EWj7tUmenz9Nz//XXX8312959TOOVdv3Orst4XmKfvZu1XlPt9HVCQ0OvuIuzTuyh5dCBzvVz0NfI+Np6Xb7SWKPndKWmTJlizunIkSOmC7wOkJ/dbK0Z2bvq6eysy5cvd3SH1zir8VIHPNfJSuz0PHRGyI4dO+Z63C+++MJ0Yd+2bdsVlx8AAFiDpBTcQm82dBwRO03oNGrUyHzR1qROkSJFzJf4ihUrZkkY1apVy/zU7Xa6v44J1axZM5PkWLx4sdONgSZNdDryjPSLtn5xVxlvjnKjr6ljb2SeOSq7Muk4KLNnzzaJFx1/Sn+/Ujouyd69e83Ngk6drTNZ6fTXGZNSOgaTLnmhX+gzjr+hNz56g2Ufyym78VR0TBiVcbynzC73/IzP1RuRWbNmyf79+81NptIpyfUmcPDgwebzzzy2mNKklY6TomO55OXGB4Bn6PVVkzc6455eA7dv327GANJx/HTJjo7Jp0kpvZZGRUVl2Z7xWqtJKZ21LTsaE/QanB19rl7Dq1WrliUmaNIo43VcZRxnz6506dLy999/Z1mfeV/dT9n31QoTndF1/PjxJlmlYw9qIv7+++93JPXzEvvyWr7MNGGo11QtkyZudHxGjTUZk1IaUzXxlReaYNIkZEYaazTm2DVs2NDx+wMPPCCNGzeWfv365TqulT2WaBJNE1F2+nlqgkoTm4cPHzbviZ7Hli1bLjsmoybC9Hy14ki/QwAAAO9CUgqW0C+UmpSwJyt0oNa8WrdunSMJosfQwWPt9Mtp//79nfbXmyP9Aq40AeQO9jLpzcFvv/122UFWM7aSCgsLM1/UdbBcrW1fuXKlaXmQW6ItJ3qzpbQVgN4M2enAw7/88osjuXXs2LEsz9V1enOXUysplfH5OjBv5udrEjLjlPHt27d3JKTsNPmmLRe0PJlvFrXM+jxNaOmNAwDfo60dlQ4irS1yspP5b/9yckrMa/JHW6rmJmPFRW4yJlIyyjzo+JXsq6+pSZetW7fKRx99ZGKEDnI+bdo0sy7zddHV5cts2bJlJo5ohYDSxI62ZNN4ValSJbNOB6rPPFh7TjRWaEJQk0EZW5upQ4cOmQHls6PP0Rig13iNbTlVgtgHx9dYmvm8y5cv74i3mpR6+umnTaWQHlvjirIPpK6tszRxpsk/TcolJSXJa6+95tjPTiusdJ0eWwdjBwAA1iMpBcvYm+3bW/JowmTDhg3mS2HGGmOducm+3U67tukXaU087dmzx3R500STJnZy6+qmXQi1Jv+DDz4wCbHL3RDoa+pr6c1VxtZS2ZVJW/W88cYbMnLkSHnnnXdM10LtGpBdK6CMtFWB3rRoFwRNSNlvFHQmq6+//tq0KMsp0ZYT+81Jnz59nLrD2L/4a8sErcXWWaEy09YNGWu0s2Pfrs/PmIA6evSoubnRLi122l0zuxkRL168aH5m7r6hXT21e+awYcNk1KhRV3S+ALyPzlpnb+VyuZY3ei3VREFmma+1OXUrs7dQyunYeg3Xygt76yP7tUmTFpln/XQHnUlQF61o0MSQdk3W7mgau/IS+66WVoBoC1x7XNBYo5UAWgmiLXTtCZyMlTyX6wanrb+0NWvmz8ZeOZITTUZprNLzzikppXFX482OHTtMUkkTThnjjdJYZi+3vre6ZKatsrSM+n1BW1Zp/GnVqlWW/TRhpcvq1atz7FoOAADci6QULKFfCD/77DPzBdN+k9C5c2d5/fXXzdhMOoaInXZ50NpmHSfC/lxt8q81nppY0tpYbYKvX6i1S9/lurrpF/BevXqZmwEd2ypz0kjLpV9+tVuZlkkfa0LIPq6UJlF0jCNNaGntvNIbGz2eJmhefPFFU2Os5dXfx44dm+t7oWXW19MklJ12rdDua/q69qRUfsaU0ptC+41hZvoaOq6HfpG3t3ZKSEgw42HZb07s7/fBgwdNws/+nmrLNm11pp+XJtPsNdh6w6OfVcZuFpoI1HLrmCBly5Y16zRJ9d5775kbsIxjo9i7kegN2/Tp0/N0rgC8i7Y20YSFtkjR61nma7K2xrEnFPRaO3PmTElMTJTo6GizLjU11VxjtLWNjvOk8tqtzH7sZ5991hxfy2Jnv8Z06dJF3EVb8Wgrn4yttOxJfXv35yuNfVdLKxx2797t9B5o/NWxmfTaa7/u52dMKU0K5vTZaBdNe6smO42ZOqaTxp6M2zRhpF0M7a2a7YkzbVWm8WrgwIGOFtJa+aP/L/S7gNJEUmaa+NNz00STvSWYxv/sKl7uvPNO81noa2TXlRQAAFjE0yOtw7/YZyiaMGGC7a233jLLtGnTbE2aNDHrn3nmGce+OrtSu3btzGxDgwYNMtN2d+vWLcu02GPHjjX7ZJwxSWct0v0+/vjjKyqXTsmt++s03To7z6JFi8ysPjpTlK5ftmyZ2e/cuXNm6m6dKUhnXtLZjexTaWec7U+nFw8JCTFTXdvpTE86E5XO/JQTnbVJp/PWGZwy03W6zV105jyd0eiGG26wzZ492/biiy+aqcszz5Rln4lJp1TP6KOPPjKfg05l/vrrr9ueeOIJM5PTwIEDnfbTmQv1+fo6OiW8vpbOXph5tqlt27aZ9/maa64xn4f9/4t9OXjwoNveCwCukXnmO53pTa8req3R671eKyZOnGjr3LmzrX79+o79kpOTbeHh4bawsDDbmDFjzAypDRs2NNeYVatWXVUZlF6/9Jpzzz33mNhif9y9e3en/XT2vS5dumR7TF0yx7bMs+rpbHQZZ6XT89BZBkeOHGl77bXXbK+88oqtRo0attDQUNvPP/+cp9iX2wxxWu7M1+jM+vXrZ97fs2fPOq23x89ff/3V5g6NGze23XHHHbYXXnjBtmDBAvP5VqpUycQLnT03I3t8zUjjsH6eGk91xkSNITrLq86y98knn+T62rnNvpcZs+8BAOAdSErBpexf3DMumrzRm4158+Y5TaVtnwJcp9SuWLGi+QKqX+Y1WWTfb9euXbZChQrZhg4d6vS8f//913xJ1ef9/fffV1S2hIQE88Vfp8XWY2oypGvXrrYPPvjAab/jx4/b+vfvbytXrpxJmmjSRs/LTvfX89JkW0YpKSnmRqFBgwa2CxcuZFuGTz/91Dw3u5su/fJ+uanEr9a+fftsHTt2tBUrVsxWqlQpW+/evc3NYUY5JaXs053rZ6nTpetNxujRo7M91/j4eHOzkfE9zDyVd3b/VzIuGd9zAN4pu4SQJpQ1cR8REWGu69dee63t9ttvt73//vtZ9rvrrrvMtUjjRPPmzW1r167NcxnatGnjlPBSFy9etI0fP95WtWpVU4bIyEhbbGysUwLeHUmp3bt32+677z5b5cqVzXVS442e+86dO/MU+642KXXy5Elb0aJFTeVBZvv37zfH1ddzh1dffdXWunVrc/3PGGs3b96cZd/sklL2OKznV6ZMGfM+RkVFmbhyOSSlAADwPUH6j1WtsgAAAFxJxw/S8fn+97//ebooAAAAyCPnee8BAAB8hE6coQOE28egAgAAgG9hoHMAAOBTdCY9Hej6rbfeMrO66cyjAAAA8D20lAIAAD7lhx9+kCFDhphZPnWmtVatWnm6SAAAAMgHxpQCAAAAAACA5WgpBQAAAAAAAMuRlAIAAAAAAIDlSEoBAAAAAADAcgE3+156erocPXpUSpYsKUFBQZ4uDgBYSocRPHPmjFSsWFEKFKBeIifECgCBjFgBALBKwCWl9CYjMjLS08UAAI86cuSIVKpUydPF8FrECgAgVgAA3C/gklJa620PsqGhoZ4uDgBYKiUlxSRb7NdCZI9YASCQESsAAFYJuKSUvRuG3mRwowEgUNElLXfECgAgVgAA3I9O4gAAAAAAALAcSSkAAAAAAABYjqQUAAAAAAAALEdSCgAAAAAAAJYjKQUAAAAAAADLkZQCAAAAAACA5UhKAQAAAAAAwHIkpQAAAAAAAGA5klIAAAAAAACwXCHrX9K3jV2+I8dtE3o1s7QsAADvRKwAAAAALo+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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Bsmt Half Bath\n", + " Column is constant, skipping transformations.\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original NaN NaN NaN\n", + "No need to skewness\n", + "Full Bath\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original -0.289148 -1.433131 3.767711e-24\n", + "1 Log1p -0.339970 -1.578263 1.084539e-29\n", + "2 Sqrt -0.361590 -1.633640 4.962668e-32\n", + "3 Box-Cox λ=1.266 -0.229861 -1.241924 6.307108e-18\n", + "4 Yeo–Johnson λ=3.010 -0.106955 -0.786353 3.065813e-07\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Half Bath\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.453704 -1.731194 3.388560e-38\n", + "1 Log1p 0.442944 -1.780418 1.633736e-39\n", + "2 Sqrt 0.436822 -1.803689 4.040524e-40\n", + "3 Box-Cox λ=-0.100 0.434249 -1.811418 2.632328e-40\n", + "4 Yeo–Johnson λ=-3.228 0.434922 -1.809636 2.888586e-40\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Bedroom AbvGr\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original -0.574971 0.765110 1.945571e-19\n", + "1 Log1p -0.799725 1.065963 5.818817e-37\n", + "2 Sqrt -1.085243 1.756455 3.442481e-77\n", + "3 Box-Cox λ=1.637 0.006869 0.441735 1.214362e-02\n", + "4 Yeo–Johnson λ=3.698 0.029656 0.526282 1.774194e-03\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Kitchen AbvGr\n", + " Column is constant, skipping transformations.\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original NaN NaN NaN\n", + "No need to skewness\n", + "TotRms AbvGrd\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.182316 0.097557 0.040053\n", + "1 Log1p -0.039127 0.050774 0.821591\n", + "2 Sqrt -0.329619 0.413221 0.000001\n", + "3 Box-Cox λ=0.819 0.007378 0.102827 0.783723\n", + "4 Yeo–Johnson λ=0.178 0.000203 0.047712 0.949886\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Fireplaces\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.435838 -0.802447 1.707575e-14\n", + "1 Log1p 0.290574 -1.257020 1.549745e-19\n", + "2 Sqrt 0.064598 -1.854071 1.321709e-34\n", + "3 Box-Cox λ=0.002 -0.009785 -1.998082 6.921493e-40\n", + "4 Yeo–Johnson λ=-1.883 0.127857 -1.704695 7.199572e-30\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Garage Yr Blt\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original -1.010552 0.120907 6.209873e-41\n", + "1 Log1p -1.110561 0.473144 2.622238e-51\n", + "2 Sqrt -1.350694 1.541369 1.336201e-95\n", + "3 Box-Cox λ=2.735 -0.449301 -1.291138 5.374414e-25\n", + "4 Yeo–Johnson λ=11.890 -0.352191 -1.381607 2.584039e-24\n" + ] + }, + { + "data": { + "image/png": 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    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Garage Cars\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original -0.512396 0.651562 3.436412e-15\n", + "1 Log1p -0.879854 1.231952 5.546512e-46\n", + "2 Sqrt -2.151016 6.364916 0.000000e+00\n", + "3 Box-Cox λ=0.791 -0.999547 1.774545 8.305793e-71\n", + "4 Yeo–Johnson λ=2.516 0.020714 0.347018 6.340089e-02\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Garage Area\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original -0.163091 0.566811 6.389845e-05\n", + "1 Log1p -0.534796 1.027138 2.705351e-22\n", + "2 Sqrt -1.978065 6.143988 0.000000e+00\n", + "3 Box-Cox λ=0.750 -0.832406 1.946648 4.472323e-65\n", + "4 Yeo–Johnson λ=1.528 0.022521 0.455883 8.744728e-03\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Wood Deck SF\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.688713 -0.438455 3.207166e-21\n", + "1 Log1p 0.592142 -0.708681 2.081936e-19\n", + "2 Sqrt 0.084302 -1.672121 1.989009e-28\n", + "3 Box-Cox λ=0.044 -0.167532 -1.950416 3.879424e-39\n", + "4 Yeo–Johnson λ=-6.104 0.203248 -1.557520 3.862620e-26\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Open Porch SF\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.949868 0.097338 3.241214e-36\n", + "1 Log1p 0.854338 -0.144106 1.451070e-29\n", + "2 Sqrt 0.020874 -1.341071 2.207069e-18\n", + "3 Box-Cox λ=0.137 -0.487453 -1.644769 1.397957e-36\n", + "4 Yeo–Johnson λ=-8.705 0.213113 -1.284912 1.060597e-18\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Enclosed Porch\n", + " Column is constant, skipping transformations.\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original NaN NaN NaN\n", + "No need to skewness\n", + "3Ssn Porch\n", + " Column is constant, skipping transformations.\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original NaN NaN NaN\n", + "No need to skewness\n", + "Screen Porch\n", + " Column is constant, skipping transformations.\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original NaN NaN NaN\n", + "No need to skewness\n", + "Pool Area\n", + " Column is constant, skipping transformations.\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original NaN NaN NaN\n", + "No need to skewness\n", + "Misc Val\n", + " Column is constant, skipping transformations.\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original NaN NaN NaN\n", + "No need to skewness\n", + "Mo Sold\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.204072 -0.412265 5.003022e-04\n", + "1 Log1p -0.185784 -0.394476 1.317363e-03\n", + "2 Sqrt -1.001648 1.420004 7.289818e-60\n", + "3 Box-Cox λ=0.575 -0.718990 0.674496 1.809389e-25\n", + "4 Yeo–Johnson λ=0.445 -0.011057 -0.442576 1.186075e-02\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "Yr Sold\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.136403 -1.141585 3.078675e-14\n", + "1 Log1p -0.141117 -1.191619 1.959227e-15\n", + "2 Sqrt -0.674857 -0.816704 3.899153e-25\n", + "3 Box-Cox λ=0.290 -1.078679 -0.413921 4.700840e-48\n", + "4 Yeo–Johnson λ=0.385 -0.035400 -1.190230 1.139261e-14\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n", + "SalePrice\n", + " Transform Skewness Kurtosis JB-p\n", + "0 Original 0.541625 -0.010833 3.090809e-12\n", + "1 Log1p 0.391721 -0.171965 4.898900e-07\n", + "2 Sqrt 0.106102 -0.147317 2.215622e-01\n", + "3 Box-Cox λ=0.391 0.000090 -0.073750 8.844107e-01\n", + "4 Yeo–Johnson λ=-2.518 0.016774 -0.288097 1.495931e-01\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No need to skewness\n" + ] + } + ], + "source": [ + "# TODO: Check skewness of numerical features.\n", + "# Apply log, sqrt, Box-Cox, or Yeo-Johnson depending on distribution.\n", + "\n", + "from scipy.stats import skew, kurtosis, jarque_bera, boxcox\n", + "from sklearn.preprocessing import PowerTransformer\n", + "import warnings\n", + "\n", + "# Ignore warnings that might arise from transformations on certain data types\n", + "warnings.filterwarnings(\"ignore\")\n", + "\n", + "# --- Metrics helper ---\n", + "def metrics(vec):\n", + " # Convert to pandas Series to use .nunique()\n", + " vec_series = pd.Series(vec)\n", + " # Check if the vector is constant\n", + " if vec_series.nunique() <= 1:\n", + " return np.nan, np.nan, np.nan # Return NaN for metrics if data is constant\n", + "\n", + " sk = skew(vec, nan_policy='omit')\n", + " ku = kurtosis(vec, fisher=True, nan_policy='omit') # 0 = normal\n", + " jb_stat, jb_p = jarque_bera(vec)\n", + " return sk, ku, jb_p\n", + "\n", + "\n", + "# numerical_cols = df.select_dtypes(include=np.number).columns\n", + "for col in df[col_num]:\n", + " print(col)\n", + " x = df[col].astype(float)\n", + "\n", + " # Check if the column is constant before attempting transformations\n", + " if x.nunique() <= 1:\n", + " print(\" Column is constant, skipping transformations.\")\n", + " rows = [(\"Original\", *metrics(x))]\n", + " else:\n", + " # --- Transformations ---\n", + " x_log = np.log1p(x) # log(1+x)\n", + " x_sqrt = np.sqrt(x) # sqrt\n", + " # Box-Cox needs >0. Add a small constant to handle zero values.\n", + " # Also check if the transformed data is constant after transformation.\n", + " try:\n", + " x_bc, lam_bc = boxcox(x + 1e-6)\n", + " if np.all(x_bc == x_bc[0]):\n", + " x_bc = np.full_like(x_bc, np.nan) # Fill with NaN if transformed data is constant\n", + " lam_bc = np.nan\n", + " except ValueError:\n", + " x_bc = np.full_like(x, np.nan)\n", + " lam_bc = np.nan\n", + "\n", + "\n", + " pt = PowerTransformer(method=\"yeo-johnson\", standardize=False)\n", + " # Reshape for PowerTransformer and then flatten back\n", + " x_yj = pt.fit_transform(x.values.reshape(-1,1)).ravel()\n", + " # Check if the transformed data is constant after transformation.\n", + " if np.all(x_yj == x_yj[0]):\n", + " x_yj = np.full_like(x_yj, np.nan) # Fill with NaN if transformed data is constant\n", + "\n", + "\n", + " # --- Report ---\n", + " rows = [\n", + " (\"Original\", *metrics(x)),\n", + " (\"Log1p\", *metrics(x_log)),\n", + " (\"Sqrt\", *metrics(x_sqrt)),\n", + " (f\"Box-Cox λ={lam_bc:.3f}\" if not np.isnan(lam_bc) else \"Box-Cox\", *metrics(x_bc)),\n", + " (f\"Yeo–Johnson λ={pt.lambdas_[0]:.3f}\", *metrics(x_yj))\n", + " ]\n", + "\n", + " report = pd.DataFrame(rows, columns=[\"Transform\",\"Skewness\",\"Kurtosis\",\"JB-p\"])\n", + " print(report)\n", + "\n", + " # --- Plots (2×3 grid) ---\n", + " if x.nunique() > 1: # Only plot if the original data is not constant\n", + " fig, axes = plt.subplots(2, 3, figsize=(12, 7))\n", + " titles = [\"Original\",\"Log1p\",\"Sqrt\",f\"Box-Cox λ={lam_bc:.3f}\" if not np.isnan(lam_bc) else \"Box-Cox\",f\"Yeo–Johnson λ={pt.lambdas_[0]:.3f}\"]\n", + " data = [x, x_log, x_sqrt, x_bc, x_yj]\n", + "\n", + " for ax, d, title in zip(axes.ravel(), data, titles):\n", + " # Only plot if the data is not constant (check if not all NaNs)\n", + " if not np.all(np.isnan(d)):\n", + " ax.hist(d, bins=40, density=True, color=\"steelblue\", alpha=0.7)\n", + " ax.set_title(title)\n", + " ax.set_xlabel(col); ax.set_ylabel(\"Density\")\n", + " else:\n", + " ax.set_title(f\"{title}\\n(Constant data)\")\n", + " ax.set_xlabel(col); ax.set_ylabel(\"Density\")\n", + "\n", + "\n", + " fig.delaxes(axes[1,2]) # remove empty subplot\n", + " fig.tight_layout()\n", + " plt.show()\n", + " print('No need to skewness')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "voU8eavLkXya" + }, + "source": [ + "## 🔹 Step 10: Remove Duplicates" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "pEyssUgmkZgq", + "outputId": "f4bebf7a-65dc-47e2-fc29-a845059d4ef6" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Duplicate rows: 0\n", + "Rows after dropping duplicates: 1084\n" + ] + } + ], + "source": [ + "# TODO: Check and remove duplicate rows if there is.\n", + "\n", + "# count duplicates\n", + "dup_count = df.duplicated().sum()\n", + "print(f\"Duplicate rows: {dup_count}\")\n", + "\n", + "# (optional) inspect some duplicate rows\n", + "if dup_count:\n", + " display(df[df.duplicated(keep=False)].head())\n", + "\n", + "# drop duplicates (keep first occurrence) and reset index\n", + "df = df.drop_duplicates(keep='first').reset_index(drop=True)\n", + "print(f\"Rows after dropping duplicates: {len(df)}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "AlW4RbaTkeSu" + }, + "source": [ + "## 💾 Step 11: Save Cleaned Dataset" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "naZHc5dnkamR", + "outputId": "85de9021-991a-4c3c-ae57-b0b24e772aeb" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "✅ Cleaned dataset saved successfully!\n" + ] + } + ], + "source": [ + "# Save your final cleaned and engineered dataset to CSV.\n", + "df.to_csv(\"AmesHousing_engineered.csv\", index=False)\n", + "print(\"✅ Cleaned dataset saved successfully!\")\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a12/Assignment_12_03_02_Dimensionality_Reduction___Nexus___rsayyareh.ipynb b/a0.1/a12/Assignment_12_03_02_Dimensionality_Reduction___Nexus___rsayyareh.ipynb new file mode 100644 index 0000000..6222573 --- /dev/null +++ b/a0.1/a12/Assignment_12_03_02_Dimensionality_Reduction___Nexus___rsayyareh.ipynb @@ -0,0 +1,415 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "lyq1xPPrhRoX" + }, + "source": [ + "# PCA on Olivetti Faces Dataset\n", + "## Overview\n", + "In this assignment, we explore Principal Component Analysis (PCA), a fundamental technique in machine learning for dimensionality reduction and feature extraction. We'll apply PCA to the Olivetti faces dataset to understand how it can be used to compress and reconstruct images.\n", + "\n", + "## Objectives\n", + "1. Load and visualize the Olivetti faces dataset.\n", + "2. Perform PCA to reduce the dimensionality of the dataset.\n", + "3. Determine the optimal number of components using the elbow method.\n", + "4. Visualize the effect of PCA on image reconstruction.\n", + "5. Compare the performance of a model trained on the original dataset versus the PCA-reduced dataset.\n", + "\n", + "## Prerequisites\n", + "Basic understanding of Python and NumPy.\n", + "Familiarity with matplotlib for plotting.\n", + "Basic knowledge of machine learning concepts, especially PCA." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "3gjA1DRyj-kk" + }, + "source": [ + "## Step 1: Load and Visualize the Dataset\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "n-TFwZ5_WeW5" + }, + "outputs": [], + "source": [ + "# Import necessary libraries\n", + "from sklearn.datasets import fetch_olivetti_faces\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\")\n", + "\n", + "# Load the Olivetti faces dataset\n", + "faces = fetch_olivetti_faces()\n", + "X, y = faces['data'], faces['target']" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "6X0mg0rhjruF" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(400, 4096)\n" + ] + } + ], + "source": [ + "# Print the shape of the dataset\n", + "print(X.shape)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "50g-tHqwWnfn" + }, + "outputs": [ + { + "data": { + "image/png": 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Dg9dkpY6yz00ALOmiT3//7//9dxUJ5RPXpdNUKDpP+W+Xj1ZOdp7kVf8jO8azz7t/56hVl9V1V759h1NcT4DgI3Nqn7z+MvrThGtPgt/f77WqpAvwL2HqJFahOa/C2ejObTVIGMB51yjXAURwjkWdh57zNFaTtsjRGIpQlZ6l2Qc5snXIlUpjtjowN5pTmhp3aXqzEp2PZtD6cgzwUWB0x/EEiAokCLg+ttzyRnQJfeer88Dh7RxeMCCi3ch+16j0ejdz/ARoLs8+AfQnB6dCX3B4ndzS6vLGNZ4FJU+O6u3/01h6jyvPvjcAxajUmdh7o281UK5t3huBvHJYnnsa9+fS7rGlkf+f5Pa2p/M+2/1un9GhFSA3+NDjZpxe0wmMZNfEFgwXGD3xl2Puf6/d74P4+4keBXOfC60+3//K1+as/X+Suc4vQFp9VttiDJc2l0bXPu6/rtGnIwvEn0DmdcI7hgtMX9MrT+2Oub97v4D1aQ7u2J/61OsYUyuNrn5yXufRNca7Cwxsveb2RNga8gE8a/3brkPrOtVJMsp+v3qnyytqm9Cjxz/N+9VtHesH8c/TXJc2t4zP/fFv+1C6o0mdpTW6Ah1eC7h+Np3onOGa6xCV7/r9iXau9RrfvaaP+x8b/8TrrRRrthFN6hwaezHhxXi9b/v9FJB6otfFZ+ag44QbL5bGpw0Av6aTPhe9fsdXPjOmjv3ajie7fPXaa/rfnJWPK7dXvrrMzT3qP7y2984+L4MLpww3u8Z4154JywBf+mhkqY7iDYCXvqXD1SN33M6/1ZQC0t2H4effX9vq3Cao6tQ2yFd9YclMae0/+nGfW2Vx+a986n7FLh3fPaeYzmfj/Mic2kZnrjJZx7tJS9uTI1xj8ZStpXgd4zolYJ3MghCT0GtigDUp/A9yahG75ZbXwcI417C9FvW/zMs4r9Z/5VSr898GI6V3x32Nb4GD10owbFCCTt38pyD5Zi3MnyjQfuticcZJOYfjKkAXBFZhVtAbtQUYLkjqBl2ide1Po1HWv+6966N2fWvAZa0oxio6bZt3jQ7bQMf8NVLZ+W/ZXHnQcd1w6WY1X8t2XePRvpm7rmmpAaxclH9Kz36uDF6n03HlfVG4vVotUJkhX+aeUWhpFNpU9nbtAf2OnTJ036eKh/KcPl+5/lyCbqXXk5F3z/732jXuMa/dt3LRqKjNhkSNbTZ3N1dbKatMyDW2u6f1xyKwLfkG1tqXXvv+3/7editkLuh8AlXGXT1Rer9Gq9Lsgu2r066DdMdYWl3AXhlyHh6mfxp00K5euTTc8Ss7HpDa/Ny1mN1Qr1UozSiVJzt+92+G44OqqTpGfb6/d77qlJamvlc3+r1ZltsPNK0tfLKzrUQZL6PXjvuGb/iGFyf2J3/yJ1943Xq5ti4V6atz2L51czz7aOhr+1IZcZyx9n6tZgIuL288lbZXrur03JJhfa9dUJJp7NUR0y23tHFt2MF6ZXql96696PrdK09r6DRso2LkBszZ4Y71KaguU1kbU/nwuXJ48WAd1C6xwgfwROlaJ+Xyjv4XhF+HrbRTtVe5qYz0uv5r6Wd1xF4wzW1k6WZ4r06uXn7Sie1PaWNOjL86ym+az7fa8B57deid3zp55RmyUtmyDArmajXhxYWuN9xRh6+bm+56k4sG324f7T/x2jifbFFpyXl72k+l8uD6AkV1VHf9L/7iL/6MZX0w+lOlA0d459qAaZ831uo2c2Bz22tj70aivY/sd+1l6VXMXJ4oDZ58tQ/VqaV4qkxK8ArOVTAlRBVi21V4N5LQVhAiwoARL2BxfhVQJ/o6ev6rE0jB12n13eY6BRP627WPzrv027W/6qu+6uX/n/mZn3nXr4I/dLnl39a1jhnXD04gIMyR6HfAixArVe4uh6PpQPM7ZnlfKdeoXYeiYzRvT+U9MlHllQpJSz4aIW80XKSy65RlupWN7D9OlHITAruovl3zKjQLKgCcE3a77jYooZ9759RTEJ2r8l/n9AZpKtTlcwGMOnl4smUdNTrm9Ano9B3dez2fn0rG0a2Aq5kM/AgwbM31XotwbnfSgmb90oCeC9D08Zb+MPhVlDfABdzX6F5gUuNeR+H2o/NTufxsjpj5QLPqxIIp2SXfx5dked9Hv8l3KzlGr8nngPx4eXS3+zFdhc9tslW+rNG646iclq9eG2f1c2n5RB/z0/Kq6vK2/n7pf4+tsb2Z/adrk9M6SNdZpKufKlUqM+1vdcPa1Y+75ld/9Vd/RgDn0r2glkxu/pVimcvqhAZ7moW7cnUDj+1Xgcb9v+Ou3jHmW7rn+AJ2ZXmXjgAZECZI2Sya6zhmv43fv/Irv/Kl7G5yMB1P/1+aXzoXLNIhxjGdZc8I9qPBxOKE6onO3S0X7AY9/iMD12GpnTWvcESdo8vDHOsCRK8C4a657EaH65cdY+mX2UL6RWvQ4fKItutsh9jNSx3DBis7N7XBV3+gBbltAL2Ol+tW39TeudfFgezIxXFNtlT/XSf0BrWePjcQgYZ0k82HOu4G+vea/Ncm25Doymfvp+qMo8fW1C6iRzH5xXV4v0EneKs6tgGE2uI7J77fYGJtR/n4yu69Xvm3yY87h3QTPQcbLwGEPjK1lSF69LUyfjuMV382+edcNr1l2086u5uooYWNn3Yv2NZ4a8c//T79K58NcHSzzh3XjWQ39r1gK9nvfd/yjtJxNINPWlUmAbHmCSy1i/s8rDNcXRloYgVdrRe+NP/QnNoCRZ254KKT9ATEy8wFU867jP0kFNcwIUD759wyRq/d9PkFTa5Th9Z9OzaMdCfjgoLXolAV1JfJSBlBj7lj7n0wogXygHFBhvcdA3RgPowr6yaT6bcqP0DqKvinOSlvXNBXA17j7feNoX18igI16lolUAcGDSi7gtNG/K5Rdjzhb4a/89pxXB68NKiyuXzxBPh7He1mU5/AtHtew3rPo8DryD7x8NN4e73euwYYj9zsQ8Fl+bzg+8p2j+21WgZYwFj9cYMCN8Bg3nqfRp/7e42j369T0N/b14Li0logisOKZiulFITasXNq7e7YTTOA+QHPGvQZDCC0a2vb36trPghAXPktjS+f3OPvtWtoS7t77AXM9/dL/yuTt59Px5WnnvSZ5pq1S53XK7cXwGoiz8te3Uj8vbbApGOUxnGKzB2wcPnVfg2clrUGLT+oXRp1ruu0yiLp2/hThYF+t7KoIBY96tSyPbIndhRtAPoC9/H/9qRY9htgf82pvSC616zNnEPbQFKDC9Wh9M2TTuTIkr/aEjqr8/6EGUq34ojuMF95GtCsE97xy7xWT9Sus6V0Sdcc34xl6UbXX9nf/G1uPhtOuGP/bHgMz+tP+3axGptb/VPsKWhAXgrIq19qf5545wkDX1105+OpVYaf7Eh/uxm4tidbfel4HdmLT3qt2u6bnMADl95PNuTilNuqZz/IKb7jK/3qKF3sdfeFcW7v2wBAA3AcwJs15Fy2quLJfkgsoZkAXzGH++y46jD9ovtbfkwPdT3uF7x//yZsijd3f/qnSS4+BL3ezT/7WFD+RndGRjOPEhI8uzquiYhWkVwdWln9bPbqM+bjcz4ynW4EQkcrODqAeCJgBIOyr0Ls5LU1HW/CDbbR8zoUzTJV6ZdoMrs1umXwlkleRdn+3GuXHs7BNHd8FWxMxbg/bRbFuNZhsAB+DCa6XCEXGQKcPVexzqI5emGIMLp+ESAZwJb56H8DCY0uX2N3gwUt58PwxmCMojvuAyAACaJk+ONmfigTQKkK88mx3HXnFNjl2PifDFUVJh4UBb8Otvvo4xNPlKfr+JOF63hWzsovNwjQ6/ivQI3yKc9emcSjBXmVIXLknAIiCqxG58mpvfJjTktr/QCeZbBucOOWo+nL0z3Wn5YquU4NWte0lC5VwjX6jYwDy+uz7M9+m/M6uZ1zSif6ncO7NoPCYSgPePajtbUe07Nn5u2/RpHJcGl+jcVrjn/bBaSv8WSPf+Il55WmvYb73CBfQdEFv08OxuWB8lL1XPX77XvtQEFmS5Gvw3MB8ZqNPYD9yo25oK82/8po2YDKXQPL44/K4/5TaUPnrfUZluXX6qoC1ifQqhRvjQx6HjUeHU+3LK2ZtQaHbKDTzBM9MTpND3NSC26qH7eudkt3trb2f//f//eXe7AHbQ1kXn7GC8DadkOVqS0WwAteay0PLZ+yUX3MhyUygsmlxcVTdbjq1DbYCwPQwXPE6YrO3xo63keC9Bmk9vegT0eLAtBWAFXvlR7a+G5zY/6vXKFB5fUGWu/x8Ii2sbdiq86XOTfOyrjvqlqajes89nrXuax9a+t9brlm73/5+Mkpe8IpaKHPl5fLO9ehZY/oExtkOvYG3X0uj14dcSsxbpYXTdq/BtrqBDbYUofr0rk6vwHEYojyf2XAvDuGbaZTVXu06kQf6bO2PvLu2kZ92T2mWyabxSXV/a3A2Dn2W3Bss7etAjHuBjG/6H2eRk80oG+L6/cZLln/yLxj6Bg6fa9Vkq2vO2/ntHybj0iW7nJV+G26ij6azunY65zTS59r+7wf6dO68tvRDXCGiIEA4ihfHVVKaPIpZMyPMQgf4e2ztrrWo0xUhUFoawga1Wg0WR9EJDaBUvEXCDXtX4ZrpIJT2jXGBLOKzXXG8Htxyi/dARfP3qqDaot6G01dQyZbyTAyJpxhgLoMdNcgeLeLKuX25Lyqga+j7lUlrf93HvAP5iZ46Kmv6//oztEiIOuj55NZF+zejjVGxr9AxyN8lHUqK9GuESqdqhRqWOvstbQOPzQKWyVUurj3feHJysA1PFXsLUl3L7/r71XIlNnGh/caybx9kGV0zI1kXqeygLWAZp8ZDQ/k3nHrw/h272gHtHnOra3gOZA7tlnbXQ8Pt+R+JXNzCJW+kFvg9Knsvo5gddruuU1sBJ3+2l/7a+9oaDx0Rp11OzWuofGOo5OAT4Es96Lzxr/f/u3f/uLUtGR1Y7KutnNy281WG1d54i4f6H/NnvT8+1v5s8cVqNBfBas9Bj+hIdrfANJ1kquLgIsG9VohUj5vQKWZ9wJy/bsBAhsbbR6UvHk2OT0yR3agwU6WzbB1MxNZOf0pXcqzkwfzMZ7xzFAASCCkfHsDVsbHYaXXZWfHr3uxRwMsdfh77c6LvtGJ5dXdZ3QYPfZYMEtB9LUBjo3nG7/xG19kbfe+fKYPt20Mo+Fovb0Udu4+e8RH59pYGli6/GEOAE8BMkFSjxPpc7sbhCNLDQ7VCXNPvGcDG3putOKMN8BChprRIecytevL9N4CamRhGXBjoz/IUHHAU5Np33loWX1TJ2l9hEcAbPJ9AxFdxtJH69krA2+1KuEGxmyieUtUL+8XZHc/g/6vesJ49Hu/lVcuXi4O8nxleyDopwwWm11siH8un5uvOkt0IHxiftmzXcvutsUtaFfeboBfGWyfa649ZdDL23iDDedDuF+zjKUbfjYHqgzN+ca/McLLHUMDBh5xue+Te9eYjm4WuzamTrRGFq7jxYdZf7or8eSC7ZTNRJM62Xh0fWjwAc/jdXyCd37j+/qlc8lBbTLL3MCro+P6yXfxv+WNO85+PTuuck+/OK9BFxWf93FI7Ef3+cBfxaKfLcj+T+XU3uhShb/Eo2y7wYIOa402IspNz5tMDD2FK8o8Y3gVao1wnTr3a1SkSqVZQ0a7E8gxr0PMiXXfRhkIR/vCYW5jrG4E+QqH80U+qhjQ4m5H7n4FXsoCdvyA+wy3iHSd0EW9u85EXzE35b/56K6q5m2GcNcc/WzaRHmL6GBkoHxK5SkTdh2hKoMapctfgP+NTMvYri8D/HXmtZ3neWZV4HUWyz9d62jcBXI9lwFhgCniRi7JWhU5fm426PLCa9UT5UvXKM/XIWnwAV8DqnttfHXGWklR+pDlZjiug33lAVgqAAUod60BXDS3hly5WINfNjpR2tjNllryJ4hkzjm1u+dkwFb5DRrtd9mWu265c8cBHV//jb/xN17Wae/zHtu1vnNKnrJ+HBfzLwjjXui5/t9N2hj5GR2POPltv+23/b927yZDNdzlK/J0ncmC+B7b67akqlHXa4hvAKdyfG3GBYbOK181qk/XuUb1c/mxGXTjaMS955S30aD9q2wWhHdssrTutfNVDY0nJl9zrvB2r1GQZ97wWQNUwPf+V8lA77TSYvobTetYl+6X3uhcZ3r3L4i8m4PoGxrdUjlOSctzb4CS48amAHLGuGuNz2GUJ6f2id/0fbplr42BfquOb1a0lUM34HiDLoAtm9n9HWx41SqV6uzK4M2gXb1hHhpwJIt0CrrAEq5L3wuw+L5r7vt0lyDaeKaPA6nD89Seqm+ebIxkwl6tZKE/GgzhjKwJcNQ53z1lf8pbdaLbD/yDNsWsaP3k0BbXuG6rzpznM8eHfTDf3a2bE3DtCzqVDy5uqYxp6KH/bIP/rJ9u1q+6D12KGdjJ6vc+AxZfdDkdPdMxNzBcmvoNX1dem3iqDiJ76KfiYsd0kzI0LZ12v/odxlg9Up59zcFqELOVlXW6W0F2MdqTXOsjTATDqkShT2HIX3r/vOoX8mEO2ck69/Sa5/YaO9+nmVq65MqR7w0sddOuBl6bMSYnF2toFx986JnaC5qryNeqYPdyTiNZhB/z7TfGZAJnAjcpU0wF9kp4TOSNpNSIUCQlHGEzwX3pTzO1+z6g0QxfhfWWOXonFJQaZuKMldn0yW9PJSUMEUYr89gsoM4AOrQMyQYaA1XblAptlCxhduMr01H++mJ78ylFTqLzp9wGEHbdZYzQbrTUTw/I3n0XXf7Zn/3Zd1H4bqpBGWg1BtfJfwpocPo1wJ8hexGCgIq1KYedozLgGsIqIGCnjgoDQh4KdhkrkTeZNXQkZ103UYFuVggdynOuURB/5bXKTZSwxqz95UDWqVWSh97GcJ0KCrFKr9/rCF4F7z+ljuhIJq9D2iBA9YK5rvwC1Q26mRdKeOd4zNbGjC+sOVPuS681ewCE7bxljuZceuTI5EJZ8f6/wK40MKZda/cjF6pUAADjlRmgy+ZMA/uchAbMLpC5zts1JHQo3V3AVieCcWdIS1ty/VSOWJ14QQRerBNeGbhObXmrcnjHiK8biGq/9Kd6EEip7buyU5pcp3b8Azg1QDqdOB5Rckx/1dFGO1UIZOLOYSufmk3p3JqL2h468uoc43kt2KXyoLL62lwUhNH3dq1vptbyjx1jfev062xK9zlg71dyz2bcVr1TMMu+Ty7ptmYdLo82SFmHEy80wFZdBnjXWTYHBYNX/q7jeeWyvF9HkD6g63uu8y92quNSLDW6rA/DDddB6/mX7tfpuvfQf7bCxoLVYfhFBm8vpY+7fh9p1qcxsKetOqNzbtAJ7ffq0hrz0eNLq1ZNGNdkuJiyekNlBPyJV1X2ued4vJv7GV+d2jqcbTdwB6MK7Kpwwq82H6ojiWdbptyADD1WJ339nF5blvMGpujsBjjq1F4bSCbwQCtFBKcXaGk1ZR15iSiBQTpmxwh87Joti+3cO8f4ytdPWcNrj4yLblx/8KP5KG/Uxt1r1q64d+W5m0eVd/9x9Aw5MLZi3e5hg5dVsO0eMMpaM+o3A1+7yaZY9tTKQDzbStfa5KfM7Ofj0P4TP6fWYDqgGlPEa3S+StkAR7Axp3IlEYO1DXpRQcy37xwvEyzKhKEQSGaFY4zJW0psd1xCooRqfRgYlCG6NeZVUrv+Jm39sH6tE+s7hbXWUoMyhcgFBdF2AR6jIrIy0AwMqVNvRqpO8xTPjNMeg/Dxj3/85fxPfvKT7/3wD//wyzX0j7OyceknWo0eu9dv+S2/5V3WqhkHO7euleaN4q0fghOiWivLUy4JsDVI0YDAWrMLuyZDMMVqXRBDRgFyrj/1qU+99wM/8AMvgH+lbbInaxvzss0ivXUU8XnXON6GHsaPfl3vbCxoXUfM5ih7jR51Big45db4o473Bft1ClpG1+xOMz4qFVxPqUmvz3ncPJrDOssMDdrTEwU6Ncg34LU22sps7vN0BWXdjEzneecDFqUBEOC4vReMCKCND/wnqyajqowQD+1/QKoOPJmfPI3P/upf/avv+I+u2zX3XvrTfWSJ3sMHAi2tAtn/4/e99vvkcvPlfeeur0DHrjP9tlawUb56ckj0UfXKeLl7Dpj/0qCR+P2vHJEDQ/6rn8wpfjPX7UsBmPvf7DGwiJ/0jcE21puBq1PGuZKBAChGV/caPzSo5v7lxwIu8lyncvcZrwiAzGkrAEaf9aM8LzvKKesSAY4BoADsd38E/Lf/d0/3Ajjq/NZRJtfoVztz5Xn35ayad2W4dHX75V2mwTU9qmfj/Imf+ImX3aOnoz3CYteY/dg4FiBtSRu7iy+LXUZ3m7Dtvkqcu8wCVuB8oQnsQW/LJqIFPjL/rzl/DeCW71+z/2RFcKPLdwRNzEl1XLNnDSpxetieLvES2N35WzoxWm0uPvaxj70D/eT/jmv3w+sFxpXj7p+xqrFWlqGtpVKcyNmBAmf2sTKyz5tDjpXjmyVF51b70H/o2yBw54b9LHa1rrzgv3PJSUU3/H3Hy/FotYLgJhrXAWh7csDovb3W1+kZdDUfHRPntxk7gTP6gX4avbt0Z5VM5Nl6fgGqPiWigQsB8S4RIk9NLE32fZ/conWXgpDRyp1laDL4sEWDetMldMP4i66aPvE7+XnNqWWP2avpq12/TyfgJHO469CaJ4FgQTd2tk6xx+7cxMUvvq+D8NR14p3jMzuIjvwg/N5MeW1sA5Xrj/HRSei6sdf+sqFkuZhSULF0ruP/kTm1OtEIoUjOCNDnNTW61TIBwLQbHAGuHJhGpRoRusC4W1PfPt7sk6zwCEZ4lRsPqAAIY0b/NTNVQUF4xqSOByZqpOQJiOkrx811b0nJzVbsfSVq6zMws3vvuapf/uVf/hmAqjX0IoB2Jdxxm6+dM+A9hddob4EXp7HraqwJWymzyJ/7XoerwLXGZG3XG0jh6LpOgyRaaSDzVmEHyACvtYGU9YfSsOZg4x1AmjHlvK9Zl9CsVvutTwWv3Wyjkbsq7LUa7ZaGcYpsXAFQj/+AasC6Ee9G8ttXvOe+NVr+67pYVRIMc8u9yoct7aW8KLDydvuEVhRZ6XlltgqUblCW1uBQAyI3g3HnSL9a9tP7afSLqKrIZSs09IGx0Q+/AxuTyxlHNBUwuMGp6tG9A2qCKkDqwD9noGW1AiDA0s4ZX+/33XfnlKeqWxr4amQYTzYL3Whr6VLeRvebtdZXPO1dUABIavXLUwbCu/nrspDqhQbDGGkBBcEafSULDfjQe6NhwRJ6yFIXaJC18hWd2LFszHVido31T+ZhxwumCBg1gNoMYXVrg7Q7v881rpNynQEybK6M5wImutW9VCuM11QyKaEsEBHMUIWzz4IbeNc9W0oP9OubaqT9P1oNmI92C0qal41rtujHfuzHPuNZ72vkr2Cumyeu1RnEow10ANlk/K65q1Pb3/G/awjqctzR1VibLPDOmSityGN1dXWc4FizNdXXdWodw/7WAcYr7rn5noPLoSG3N/vZQBB+utU7LU3vuGEofeRYr+ETTmzH1U1yOKvw6RMw7u/62uxR9XSX3AgCq84S7KNzqjdqb8l+92e4425weDqB82u5SSs3biCh+ode5nirphDwMWddumYM9CU+kmXjGFbfwT51xmGn/cbhgZf8Vz7Fy2wk/Tz7CZ9Ppi07Ks2bsNCn8hPdbRkD2uCV0XcY0PHkvoGe2rHLR2TS3K4J5BsvGUKH6gPtlhCrOOB0kiPz6zNsQgZ+OdUPrcSpnfbe4AxbiW9bZdqAdWkiAGk3f7JaTF4aGTfa1Jbx0chtk6GfT/sncmrLNDc72zS7Y4EkgLrZI8bgTlajNmUKx9TRu4uiGy29UYzbb4bNBhFemHqfu5lQI54mCANpVY6Mhb41mt8oBQXi/DbjcZ8J916yyOvL6C4La7yABiWrhAfYkh3cORQN5aKPT4aNIp4ioFQAMH03by0z6bohRocDrP5/91fmZO1EjcxTaVvBcKPq5sszZ7u2QjRsWasZaVHJNRsNFSCUNwtq3Juz10qGrmPi+NaRqRw1QlpQsWvIPHPMGhk07vatkTpGAv3q1JJJRo/RUG5WoNDAjP+qvPxWBTV6cOzRsBmU69TegBm+9cK3BS/XwO8YhuPqquv4XKeuChzdqmBFmGUmClRkAPHG9EYDYqWbdeZdbw6AKrf0/NnxLrnmFDTi3c3zWn63tj4wks36aVdnauQMzc1DA2T93uw/sFfnsHqsJdQNkin1btm9uelc9kX39t7mlu5TbmePhK5jbha6Ti4HsrxjLLIWzei0DLaZ7jqdWh+LhteV05snWUybKAEhrQBZQ8du9EPf0r02sQGuyC2nHc+Yn+ovdszvlT2VImwSu4J3ave6UZLAJX3c8r7qcfamGUClpuTKUo9m+Vc9NPr16QFrnCmysf6ZR/PSJSBoVEcGXkATdCs/thXIuZb7lferX8hfZdL5DZwXrAPfDQbrU6sx6hD53X/o3j1MyB5aCNDuNdv/ZV/2Ze/0kfu20VN1YquDr129zrEER5d8FQhzDmuHjKu6vPq/uqiy7bfSrg4Me9lXl8I00OWezWzht2JjfFa8quKlgRcOZRM9tbW3+a1BcxWR7D1auIfxdA1l6UUfFIvBDw2CWRa0l82vdt7kH10bWDXu0rX2X1C7ya+7zw180CBe5VP/ax+q++l0/3PCqytabn+bMRgrm0mP4V0vukFy7V4Lrwnk0LUdc8dEpjvmXz7LyARL/Fc8XSe29Ker6tC6R3X4dLplopWlyk+/14ZVz7C5stB1aD8fx/bzcmoLDDvYm5WsZ49gNSB3neMmT6RABGbH2gmPQt61ZCtElESBGXbXa5SgRtk7YZiQLKsy54Zj22iFKFCBhf609LJrE5qVNt4qx2Z8MZf7dN1CJ37XXv9WWvWn/tSfejHec3a+/uu//h1jKwdFS4GBrjEQ9Vqk1dqkOlTLUss6NUqK/pw3Ue1d68d//Mff+67v+q535bprwO7+b6SrIGGldgz7+rfvu+Yf+kN/6GVsG+8P/uAPfsY6VbyGrspiOE4ErmBo77Jeo9vmW2mVDEkBSTdxqiFGD5mlZjaMr1HaRj59tn5Bv7wXMOK//a5UdZGwzVfLw+p43jJoCrCZNAqj8qpaYpl/8ibbs7ZrNyNuh13BAb8r+a8jgm85XncTgjY0Mo/NDu5+G//u18xknW7X2PU318Zeo91gzd5bNtXATYMTO7+P5DCfwJrjCi72u6CTMaGBXW9Hi2Vjm7mX/QKu8RvjvmbJhfteg+r/zd94p06JedPuXDV4prLjRmqbgWgAAI33X5+522w6UGZcgmSjz5YA2ITGHBdIXONWw1ujrJ9orHSNXqdnGfxmYvZ+71n7ZZ7ruArelF86J5fPOWD4b8dbMoLPbIjY+a0t0I/qwto3+gE4trlfnWDOs9/QtE5Y6YM36D1yObu56yt3xwe1G/SIfhXEwwsNCNnBnFwDy0oa6Zu10c4Yxodf8zVf85Ktva1lr2R0/d21LDtQbQJnbB4EacpnDRTWnnPQ2akGWrueWXajlRNoApybZ3QrTarvLLVwfB0JAeOCa+0pg9SKCTxmbnY92fLRfo9O+sqv/Mp3gQp64PJ6ywjZ5spJKwxm3+p0O27/7R5kb7zW4HaBdDOqHomCr4q7jM98tTUI7Hv3iWHDuzlX+8OuPOG+AvXqnDomDabRa2jVTHuDOe27d3pYNQV90Y0eb+DmtWBBnQxBjOIe920GFH+aR3S+FVZ1kCtj1detgqm8NHBWXH4DuGQePeEVNG5wcVUgdHHXxKoKuA4WmgnICH7ZVLIl585HD0Fn16DXdr/qRXNpoy+22PF45tcEjxa/6pvr1V6izXV6HYfu3SDT47osJ2nC6s6VVttS3b5jyTg/o7xybeBHsvtxiYhRKEQLi6uUayRdB3ibQRmgafSgbWvqmqXBEC15osibCenmJMouRJRNqJKGOXgzzqL5VVIyMaLN66sSXlvViyg2imqiWlZs+3L/r1XBNfuhEbydt7KqKfStZxlDUWoDcCKagBjm9ziRrknZ9f6n/+l/eindsoX/6Mypv1EZ80xIOBXWfhnL/pdZ4kDvVWHmGNnF0nqHfR9gGSD5nu/5nneGc078xkAw9avvN7Mvg1DHzVqp/W9OOEZAsEZIzQOatmzCnK2hl+AE51D5OuVRR02UvRlOc2gM5h6wAmDwWR9ncCPP5d9msrrxkjnqoxR2vk0VBHVeFMXZVAY/99FEAO/6IkMJWBlP1y4/AYz+JgoITI/nxyPj2QYVZCvW1/ExRS/Y0aUGBQXeb/lOKz8YHA5pz6/zUyO9ce+/jdVjEtZvMmsH6fGcxxKt7wArmag+U67YYNKCQF3rhMZedhpnJMzRO+WfbGh1lixX9W2zB5ev6JsGAslfM430RKPUaAnQ0x+Or2N4wYSxCRjhud17NMbbaNzyqguGe4+O23xeEMb+XXtnbaZy8evY4i9gnuNvJ/mueyrocA9937u1oIBXASE9UyezmXYAFh2Uglcf4Y3qQTZgv23sk7cFxGZHBX8L7uiRvXvuLPsheFGHTmlj98sAds1XHTtj5Dx+xVd8xctSli2pWfBSQ6fO1fokSG75yXWW9KWByS5HEux4yj4UMD5VLNFPsqN1ehow3fFK0oFtVUzKp1UhCBw1eM8u3Hk0Rvwo+FaHG7+T5b3oh+EGT1LYcXcdc4NoeK3lrbJwDRSyA/SEwPjv//2//0WHro/DA6ov2MTqOTy3jcM6tuKUBnY5jc1m7bNKGnQSpGzSAO5wLTzc6hkBkvVbI7Pmgj5mK13vZvvqhD855M2qCcZNNv2249n6a5/7mC/4Fh9Vd6Bvad4kAH0nwbLzxzN9fBf72dL7Jj5gp2aYa8fvPFVn9TnLtc1NMkj2kLdWiOjzjkM7gSwZ58vnXuZDVYlgEDrCEni9/gg/xbga4OAo0gft71Ow/ku+5Es+41FuDUTCtgLzbFCrGOvk+o+ubsAGZqiOadVpA9tNxhSvNqsMo3RujOEj3f34RrgbrfRw4TI4ojYCULBY5VtjStAbQahgyY6WERoF9aqDAXRMiEXwKdYaTq0CV2FkjPSlTNUoNADQ6zUz0FZ6aphkTredoWVEGdX1f9dliCiFZiuk9CmnAeK92xTD5iIEDEMxBowWoLH7WO83R1+55H7b2l67Gs8xBYwAWSDnCi5hBMarqHwu3S5YrFLcZ/OiNHSf1z/KowCsrYv9mwFp5FbbMc0EejwRngPw6/jiXdFFZZfls4IvfRE8QStZkNvueMhny0hbPsWZLR83ervv+iX6vSZqrS/NWrUkzrkCX09yhscKajiGsr0DT3iM3mgjG+SS/gHgOccFktU3le8GLgSirMlraVL1TvvToF8BTiPpDfK1/B+fTLY2VoE0hroZsY6jgZ/OZw1Lndrytnsy+Gst5aPX7nXpiZa2NkBXUF257X3plq6Vkylw/WsXGgysYw30yMzSfc2I0xcCAebz8mqz8NXZHX8rJOgaPFSH7eqpZuiASDR8Wj9V5xLIaSleKzNaptaAROdPcExf7YdRvVt9W7qzaap+7mPMGiRpwNH4G3TDD+jhs+wMHjFuQbdWRRUXTD8sQ7KA7ap8NLxY21xem3wBfS1NvE76DebfpUmVPXpTv1stIYgGlNNTdDweoRv0kdNp/bVgXtftNzBT2Wk2sAC8vMK2dIMi//Ua9DgAS+bb8CPgu37OSXBsN8tROYDuzart+8bXLG+DWQ1EVIe16mbf0a5ZMDTEYz5LvLRybnZdMPImWfQbj1uruXF5FFLlo/oEfdCs/CzIU4ekjsGTHW3gkU7svYoP6G6BHUu12EnXvNV/5gC/wEf1BwSa/FbZazlu+Z2cV76q19mV6sWuNfe9gfTi4m4sB0NXVvE3OkmE7bs5fXJqbwVKAwJPclinDgZjp/hFTSg1i+05w64Fe3UcX5Q9CaqT+S50K7o209qgX/tMP5trjnH/r01mp3pMfbMGk69Orn7qcR+6U2vCO/BGhfZadFTHrJV8ikDLYDColHJL+pQIVQhbP38BAsLJtNSZlpkqgZWRUChlTEawSoBS5qQoT2gpRxU/wWs6HlBrhKuTdpUOAPtn/syfeec47vqi9NZAMkTABjAHHJgztNp5P/MzP/NOYK0jBtR6PMEA4DBqS3qXPVYe8zt+x+94odM2n/re7/3ed+OekWiElGDjnV1z/f3Jn/zJl74sA6B0rkqI4m7AgRC3bM7Y0B+vir49Zd3WOAqa+7dssQGArvfYvCyC3Y0W8BhHm8ERRZadAiRaetgSoIK864QV/DuXwW1ZaI1DMyD4stl8oASfkumCIEGize2uK0otAlwHUSDEjpc1Dp1TfR8tlGJO1ubUGn+fmVYnGQ/KXADdKjW2Q+pkCG0AI8YZH5kDu6GTdxm4vTjXe+2a5TePtFpgZ8cJqnkmpii0sa7PN/v5dV/3dS98sSCR4NLOW6BIIK+75DZLIVBnbvHKZFarLsTX1i8BmjU2F0RVd1XvAaHKUumMOmrlUfqWce2a1auH8EodJ2MWpNkYlhUhgwXslZvNoQ25bCZHN8no4pGWW5ufayPYNbrczpk1+M3A0Vt77xKNWyFSR6rOvMefVC/tvZuWuUa/07MN/NrNu6BZH8i/Zqw2Q7MTdgMPdUb1wRzXQSwtOJTW+MuwFUgB5vrddZ50+uzRN37jN7733//3//27PtMTnOrKutJCfOeYtWYtmhGVse1Ot+UHeEAfjbWytkafKAO9OhmPbG6mCwW39NVutr47/9p7urG6AE26JnbvllVZL3sDcPuNLkYf9qWNTdy9xivr50//9E9/RgB3cmfPgOk5YHc03rpdu97a7RYg1xeYoIHBfRbUJ0+rcltp+oIdw1FkUcUE/ixOaFZw458tWT9mD/CMwH6xn6UqbLoKhQVbqu/x2ehmGZRECyzcIOTOs7swTHYdrOIp+M8cuQYdBCebg8mNEltzVP5HH0mB4mB8JalFl66/aFO90pJ3/W7yqnzFP+g9i/l3jQbrBJKr71pev2M2Bvi9WdsGcOgtpdvKbq+DZbzw2lorFDj4nXt6bGNatUuXWvKXbFSIl1vVZamSyhf8+8vvByUFSutA00WO5yPsPDx1g9fFn6ORSjG4nG3ocrDimPofa/ZWkEU2P/CL/pPrYvmPbKOoGzUXgaPkERKoXVvnPGZinewOmBskZ2DKS7kq57mPTlk5icwWEEKBLfM4xTBHSImOEkWCsOt1/aT3G5FnNNc/j8pwPBAxBb2JIURj/GtoK2CyQxwT4I0gWMPYTNXaH//jf/zlXanvrrlyaSV2U7JoAgBgjBmKAvdm6Qo6MGzLsyj3zU1LeMwnEAlQb50venEirF3t+dbp7R4M3vrK0dr8/Jf/5X/5bv3iBJ5QNJtOoMyzTXXMZZUIwy3bNyC7foxX0Lyt67MLnhtBbSnS5mNjtXt2nfWWGDXSSOBHH2C4jyNqRL2gwthb2mQHUUqhmeOCyKc1vt2xsWXT5MZn92+Eey/lOB631dL8glrvymVumX3ntPzSHZ9Xit5AFvkS2MHzdjm03m/nr09bf/7v/Xv/3kt5Isd4c/eX//Jffu/7v//73xkfSppTPX4RoZc93m+TSX0VsBk9rUsXEfZYHfwhgDedaAnAgNaA1/TYXjtvwHxllCupBJjWpx/5kR/5DH05nlGSTSeNt3/oh37opU/L9A4wjmf2Watj9QSOBGLoFrueN0N5o8r7jz3w6K+uZyQP6IJ/uxaQHN/ILR6nI5tBQ/vR2IZnLcHFc5wQsrmxjybb9KaPGFoD7LzX0LsOUHYdSPJ212CR29o4ARXytabvLQXXB5loZb/sKnA9OfEIqL3cgw5Fu/Gx39GnZXt1oNG9AW1llxvP7se2PC2hUcUyfd5HTMlS7hp7dvrkavy8vtFJO5cjYvzAVh/7Y853/mSnrVmlAr8da2PAZoQLdpuNFtjm0AqI3Wx+A9Z3/Xj5cTqEvvEfHdudiLs2b212f7rrp37qp16cP+d0qRZgb0z2Q8DT+tNEwH6DkXat6ac6bGzr9NKOsR8G+Wubflq2fO/6s6CiZ5niQfIA5APx9Miuzb6gK5mvvupcKG3nmG+OR6e9vvu7v/szNi5DMzjONTY/ky3PG5+8rb/TFXunQ4qjKt/snXG1SlCf9n26e3QhI+ujseMrfRs9N7Zv+qZvejn/7vLNVt79Oxqov49C5CCp1LC5HvtvI9Xu9lydRp6NB55RHTgamC9jFzhWCstRbZaUk8lha/JJ4JEcCTiNHpMpgWfB2W7Ah/cEhAWdOet9hKEstSBi943R2BM6pLoTH+2eMN/kFl+TR4824wSzA+bUWCQJjXWyNUzLKf3FZPSNvUkpQTw4FuZHk4sdp49b7SDwBQ+YR9VxMAO/oL4VZ7fBfviJzYONVSjIlH8+7Z+o/BiRgHuRM5PS4ykag6UYKYm1Tc6U9CZoTNWdPhGIsDZrZFMRgrnr7X77bRM95SOyRCBsCKVWn7Ll6AHGfQ4Xgdl5xsKh65haZ15HuOte0K3Z2LVmIfrfxrR+/Z7f83veRVg8R8o9MXCjXcbdLKKsb8uEjN/5fVWwCZaxlWk7v7t/d0XGtDcq5xxAQ7923qK5SoTwRLMtQFmfEWlNTssa9A+4FPEWXdWvRpLQzj3qkFGmjKv1hx4ar9zbXDrmaeyd791fafZo1p2UK9CMJ/o3eNNMHdBNVjqPd20Ko1CHvTxafsTbrsmxoQ8Yn72TWfOAv9Dzjg3fcqJEAzk0+lTnC/ASxaUcOSfGOXneq+VnAkEbwwBzI/R4mjHCN3hOZt1D3Tm1Anm7pwCUcd4opIistXI2SWJ8BnJ2/PTk5En0f+cr+7QJG6PSEtp99lxP1SW7x3RiZb96vVlyjU40D+YK4Gl2yG/K762HYzStj8ZbQM++W38F5DSbUQe3oKFBE6C2uh7vqZjgMLNL+o5np2uNqSXQDaR0sxaAtVUHjS5XV116Nkt9s+B4EYgkf0DL9MwCH7Ky9M9s3vhp825dMjmp7tAP927Wpxnhyqj/jM2cjv/o5u5F0eogWRtOwHhSGf36qTprx8nK7H4DevRMy3Jdm05rNnLHTY4WCLqt9Da/7Dx66KelSuw2kK7/Xc9Zh7aloRfYoo3sp0An3Ucn4PMbGNS/XWd9IN+tBCu2aFBU9YYAuyVLzXTuPEB1jUPP6cEna3DRXdvcNnp5VAqH3DO13Y/j7dmjXcajzHfHrqoM1pxu7N4nF/+QdfqI3APIf+Wv/JX3vvVbv/WdPWiQt9ky/zXzt99nL5osYHP1g/MCD9AhnFq6kMPNDrBd+9xqlDW2A01grBtIaCC/gRy4qHiv3yWQ8Hw3aRK0IBvjO46jfWLoXEE0PLFrKNu2Q67+tEKuGcE6s33VZnVZifGQi93f0yL6aB12ls2ky9uPJ6xROYePbqsuamVJdac18KpQuhyLLq+eYQvr0DewSGdzulsF+o+Dacm5Uv/7YseMkf6dQ7tMOxxLlvCjsmmPQS0uqN/QpIusuqSCuYV/6bJi7c+3fd4bRTUCuBtO6WEQgK4KvQ+CH4F4/IsmTzCnyHjvDMkyshOaZReqAK+TZR3AjplwiQKvH8vKfNu3fds7YEW57LmkHs5e8CMFv9fKMGycsZfynvV395Eh5UzvtX7UKMnWYmbAQuapAnqBTR0sTtHG0qixyJC5KLjCoErDRO02DpFQAshBApgpkwqO/skCKbHpRksiv3tXPiPAQHFwOvSPUysig09kLdGO4S5gbCnJ/ts9GwFuCY05blnGrjEeU07bho4FS0CXvlKiMnh9dBLFJrNyHeQ1DkgBLyOglNV1qkgKyGRFKWlKAGgCFtH8OrUt8yzf1RFgZDqHlK1xq7gwl0BSMwLGh5blf/8BcjbomKLkfD5ljyhQtPe/aKa+jE7KoMwXeVX1URpxLEefjUGVxI4boFHyc52dlmfv+ruOkjz9rkMju9bnEFPmy4SsD9NX+306affdb5MHewEAR10GoXRwOnVLAMjIgNxKmrWrf8pznfNmSQUSyCWDxmB75mplYLTYvM5IdgfRrs2y+U2XgzRL2wzqGp4lH5wqPA1k+l1fbDajRHd0JOdzaqcjZeQFvsj+aGoJCGeNk4Xu+lZd3Nag8HUS/c8JKXCvozz6fupTn3rhaXM726TcEZADHIEUVTPo6mWe9Z1TWyBMPzRQo/yNAwE0kU3XIf90p2zYrjHZ2vddd9dT4bPfvuEbvuFd0JEtUelRm6efAhu7zqoxbmtArUHxrp8WhLZERXABb+3e65/lBc3E7z8VZAVvdHEdDSC05Xn0JXpbK0cvs5s7Z/hjL4H2O0+OZ4MA/l1zfWzJeHlrPGSH6fVr8iCgXf0gK0c+npxaNmaVEIKwgov+rwO4ZUf0zOi//yUoFuheX6z93riNnX6+QSbOwl4bk93mt5RrenDyo4yeTt3/At/DE+aWvlFVNwxJ5+2/LlmhI+2iS14aeJeZU7GyvglMegmq0nGc4NFm96+ubONQ6XPlvtijMkQnj6bKoLtJk82X1jau0Y6TaMNCerN84pr7b+ewgXVsi0XpcrLSoGMxskQNnt21OOL4eXMyn8BSkt0fr8AsSmHvY8YuBu4+Ba85tTKM1aWVf1U1+zyeZvvHe5480g1b7fgtedj1zmjMqRVY+XV5zJoxrMFP7S+s4xz32r13j1VpTHYFJnpu8WODr+aGvh19+9QO2Hv9F8Tiy9AHF4/cAM9HUn68mymjWxtzcG4o6x23CdLxTeIEEegZ2BqImDH+lm/5lncEGXFqdCcwe9+EjikxTcspleeMeFvbuajervuJT3ziHUhRwrS+mLDuimx3UmtWGRMO816b7N/+23/7S6RvJQQbxwzv+rYSxjnjBIXykhkyPpG/NeVi1mU2yqf9+//+v//Sv4FaWcD1aQ29q8Ax1fq6tXdA2PqmbOppPjHdBSOirAA3xWo9ibmoQmCgq6gAw5arFigBZzfquf89MJuCBuBbSjHwv3cgX6ZLEKbroYAZWQLAu0JbZ95vdez2H3D/Ikjp8xTBaL55mjFWiWCe1jaOGTIR8B2jJMYaDv0sqAckd+5elHHLI9GxkTlj8Lv/0H7XUFIGLPivwQClrrvW7j35EojgMOANxkI2B7gq+G8bXRfI2jX3mo4Y38tENsgCbLZMiyM82QdOdq4Sw/HNn//zf/5FP/ze3/t7X+g8OR6YkiEuwBe0mF6xdlwGeLoMwFEuax429+M/Bgt9ldRsbH7nBE8X2oF9vPEX/+JffAdyf/iHf/gFhFn/SefVeSOHnCi8aM5Xirz+rF9awQWZBajK74KX1pTZAE7mY3xh13T8LWAwmm1Op/83BuBn1xgN0U1Wbi9BLP/V6WhGrbLZ0uLNiWyKTApeXInr7sWZndztvOkPgdKWturP+itTv2t70YFsRkuu9L2ObbOfzegVZCq7BSxlCnY//d/4Z1/3Pn6zG/bosCzlMvICIeN30XAOCT1ZIN1AYzOabLtyNbpo+kK55HgaCKm+YruB+jWZUJvqjf47bnI2/tyxK6udTGzM4x/OJz3A/ssUaru2pxS0FRCzzX08FtssWNMslaUNnDJB8fVvzvP04a7xyU9+8h3Q3/3hHfLagBy9Cpy3vBg/c3BbDkjXcvyVADfoxL6Mdhw3JY82chzNp2/2Pvw1vhoPDMdsLsc7w0g7hm4YhqATunEdx+Q6tTDVN3/zN78srRht148Gny1LA/iVaY6Xh7WGr77zO7/zhbbkdbpM8HPXml60bnW8CNOpfhEwHH+N3v/j//g/vluPvtfmyfIhto/+23VH+2E+c2TXZpntVgVZpz89OZ0ikGdZkn7K0suqeTzKrj86156w7Tb0VPFn86knPCeYTCfBzeYPT42eHj/XfVV2v1afCejtOqPX9PnmZjp9tmqysDE7VjUUZ5r9UHbdLGKD93Ww+8QOgWJ2z/+j5e/7fb/v5X+O/uZyeuTjH//4uz0s6G9LRuAQibHpTMFqQfWWTMOxtUW1o+iOvnQU+yvwu8/TGTDp+HoBSsmrjX3zMRkcDWHWjcHSKvaTLp+uQfMvDhZkG5v5Rj/6s6X3HFTLIqYTBA7W+FHoP5rtvNkXtnOv4Tbysz7NTqHLdA9sPLrrQ/lW4BQOvzz+kWRqGb/dtBEcRESgKUSGbEwvizXhGAO6DgadkCtPmVJdtnVKtiVJI5LHgjC+LR0xcYSIMZAFY9gwI2Mpa2cC10cTu0mRceYwm3gA0PokRgxA3HGiE4wZ5bMmuoe+V2C6gLuZsNKbwmoJJ7AyJY1pRGCB9iq5CqZIEMPxBHxFu5QOFchwnFpO0Ixgx16g4fFAzVxzhButu9HJnTdemXDfMt816xc2DrsRE57Nl0iphsYt46KojHF9sN5g5zdTNSDBeI0HtW7ARbBF35qtxhNAKEWL7ndjqa6lbia7AJsCL+iksIyrGwhY62QNJIXFUQTK9l1UdIaOE3vLc5Wa4lk01axTFd1VmuK4RuHvvOB199255kngRwCOwyDYpSTfhhzArvlsZlFARP/rTNkEioOiQmINsBKNFIghl+gyWo4G5kK1geCXrOPGKwgjU3LlmbMsKLV7r68zoFfftFTJ+fi/O08OaI5uysmAW4aqaww58XS5CLn/GGM6ZTIDRLS8tHqlmajqSnakFSSjo7nhkOE3fOt5puaFk7Tru45MoPXmnGFzvzF0Diq7jfo/6XgyawwNOIm203UNkIrgz6aSX2uz7S1gvSpg0UxySx59NqZbDVX6N3C6/zY+GwaZN3NWcEJ+97ugpsec7Dqymx7Zpeph4xfErD6+5XINQjqumMQ5tQ2ybs3yCjjXbrBtA/D6Pgena+QamJDR58y0kqrZBjYG31UGa/9u4Bf/0KuAoPM4/fhlcywADI9wPgD79XdrkAHNrdnvpk+C5N30xxy0n5ahaTYf2n1laxyPzn1MHT0nwGDt4ALDO88GVus7p41ja8nYzu1yFMHYAXCA3dzBE+xG6V7dMn334z/+4y800ofpPDI6fKjiZziEHbRTv0yfqgYZrPV745yjL4jS5SytnlOSbdwqdi7N6RX7H5jjZkbx7a6nOsU8mC88Cwda5rBjxtsCFptXJao73mZeNgIS3BackZBoQqat1UBdNrJ+7D7wNX4aTddnwdLNj0d1/uiP/ui7ZYICPHQnR96mqqpG9lLF1Qw5fnlyasszXg0o041o2SDC7LG9OxaInL/DvqlooYft47Hf58irbrAMiYP+C+8Hl4rF9Zmeu/jWO/+sO3/jk9GyVWpzzgWN5xfx4fgKo+H6LPgyn08ycLzbjHNpSJ+hV/v6kex+zInkQBHyOmuEUHnOOueZcSOKzAenRlnPOu45lCPGIsHLCGCKuyOqMlzg0E5eu6fozBQLwZFVa0R5x3r4OgaUbZlymvLa9efI7joDdsaycVCQEyzGiaFjYGz8I5rZqG0jO31dureUpiVMmMeY1kTD1r8ZKA45o0xo0ABN2h/O62jtGE4E0GHNiXJhQlNwVpBQ52GtgKJKpGUfssMAL4WtcbgG6sw1ZQj09Dlyjf4RcPOv1XlqBI7BMeebX4ZLpFf0EACV1VyTcZbxsT7TRjkiseYDrWU+ReKUzDTLUqeWo1DlK4AjcNPADkUCeAr0MIJrlGazAjtW6c/eJy94inzjJXRtgKCKioE0J5wjirZZC0qaoe4ugPQRgIC3ZPkFiDhmwBtQs2NUawhe7HgGueW4jIYqgAadPH6LzgJS1gQPWv5HN4q+cqpaokbP2uijEXhzKHOCRzfultIt0FjZ4ZBULzIqgIW1+QM/MptAqGdLj89lFwu6HSM7od8bw3S8Porachzx51Mk/2Y36Ru2BtgBQughPEj3jN/GJ+bDMpG18UAdszkCa11zJpiJbzg16G9unjK1jUCXb+glMuqagK5ggbV3+rfMhOAJgE/uOOf0ATkQdKqu0NeCNPOmz3TYxmY9usBP5duxbArepj84QgKz9KF15rJmpRmdhV6XtnV028xL/6v9u+vQqmuUM49fZYzYdqCutpEe6kaNlbGOhU0H3Mr31x6133QEeXctOob+hrG60dtsFeALKwxQD+vs2qtw4xRORugAfaRrKos32M5msKs2suOEFce01F9wBX+tHwP++33XsLEoGqkMYofILR3GDk9HDZgLrAjYseuq66rflVSvP9Obv+t3/a53yYvxvdJa/Lv+DYcIqM2JkrHcMfu9a3xtNiWwytn0yJZWgNCNAkCyfw0MVw6apV3rMg7z2cobzh8a7xqqhuhGiYnxBNyD/hJHe3FkBSIsuSNjrvMkq/iIfawuGv1Uzoz+dKDkSnectsRxv+OPYfTNh/XldbLNkWx6KxDMAft/8Tl5rs7Ub9ihZbUq0WZL5wwu282pXUUDfSnIai6V0O//f+Pf+DfeLT9QBSCY8Oms73VfOlx/bnLA++bbumPYSCKADHJ6VbuqsqAL6RnViKO7igi4a8eyU3Ape97gVyvOPhKnlqFeZIrybmntmjWn67j1sIDHlOaIMqHY+q5dTxkHZ3cDWvmFdRiLsIm+dOcyuwZyBABUyoTC+Tf/zX/z3RqOEVUJrjKl/bf7dfffTYQ+7H4DDBOyRQxXvrj+TklucikbTDaBU+rDCNTJKMiXFSN4jMX65FEYlKoSZWsGuvHEBSJdAD+aq9FXLtPHemBohkSmAUM1wgecWzv9lV/5lS/X/nN/7s+9MDgjUMWlbzLlaIJZASsGrJFHUbvrDHUDl41FhLmb9ShvXmsmuTs1jiY7j8EtTVrG2XsxEuMP9N+9FnyZXMieyDLuuM0tQ8qQy0Cbqwn+hJxRU06ySgGPcmjJ194pgzprjUCjYZXa7mOtXhV5gxuM8mjVR9dQNDLfDBa+GK/JMDaYUbriSaBIWwBrPCSI1aoALxs7tSKDUcNHnH78x7mm4AUAbHKw/kzOlXTWCNJNyjj3sqM3p7OAVFnO+MAxsvECBXQh8EYXrU+ji/9l3KzNB4wZOmCbPKKBkkobwey+ylGtq+t8NJjV6LxNODiqgi3jDcEuJb3mgLPXzVaaNURf/Rpdm43Cf3SXfnkVPHOMZNL3W7Mt9ID5rsOCdzaf4znBSPoJsEFzDoySWQETj4Sg21URdXO8a5CNw+fqufL9+jYaqa7hhJLVjfXf+rf+rXc7utZ5BOjJSYOmQINHxFwHmw0g771u7ZkxeS60wCOghc6VD1kPVSAtr2zmWKbd+m8lgPrf1+at6wXrTLfRSx0nLFEQjf4Npu3c2fu9dr/pqgW3VZuZS9U58AaeQLuW+3E48XnBbwG/fugX/T/bu2vN2WqllXuZO/gCL8FIazbQE5C3/nWPvmHLBGXRurb3OuCX5oJ2tSMN5AgQuF6XMOw4mcg5AJNTc0Z3S3TAI7DRjtu4BDpViFimsp2Dd/zmsMtUVFasH9ZML5gxvcyGe+zN+ivD+jt/5+98Z6vgin1f2XUdCLpr/208wPtoLltqXSpnFx5bvz3vlhytdLXLSfA/54SOXGN7LCWxTGf35dRZUsFpVaLN5pe3YUi6ZzS2zlbgze9dY949MMhA9/lowqa4VnZ8n+16LLO/pQqWIczWuWYDRaPF5k4ihrwIntNd9ggZHfSdPN3qj+r06nUywV7BWiq6JlsCDhvT5nA8sPFs+eTub8+E6ZzRen3bMUrHLeu0zIku+Ufvr0PXH/LWZRZPuIxu2b03/ztvvpLyfkEY2dWNYw45jPX7f//vf1dNsGzzmlJ6WGk6y079ux/5FXjHDwJMdE59pg/dqaWcJggD28opEKaE2ztlAkxT8NY7zDhg5KuYlfpadCxTxbjJbCnbMLF7X992fyVywAXGxOyAIIXFseUUKZnWpog8O1WJmsi4MjRCP2EHPkT9GhmpY4te3SxJK6AtgGuEq5vRoDkFwhkFnBlpTteaUvK1m5UV/VFCDcDtfWVYnGW/F3AQbqVeQKBIIWEb7Se8HptgjDXsrkfB7H4Up2w9/qPMXUPjMNQBAR5bIoguzVTcEgkBCiDYui+Ojv7JTk85NNBRB8u82CBqDW9OwfSxE/pQsN9IYcfK4Hc+u3X/ZLAGpMC/9Kv8NHvZbLJMAAOG5zte4FE0vTS3c2udmq7TBrYFfSorLfWkH+gdRnbHNFuHX9BFUKNZesE2Sl0WRBVEAZ8SVgE9GW/ObEuD9VO5XHn08lt5juHBL4IJ93jzYm3pdC/+u2vqySb+2ThVIeyadN2OQUslfxxodJRpdI8G8QRJrMvBF+a0pW7d/Kx9Yx9KE2NwLh0h89ByOyBbBte8mwdysdaNK/bbaGktEz4iX/hUprHrkvFhG31WINRrGj/eMKdotX7jTfqHQ6T/+JJuFpyTmdPP8nz1SjOF+nX1OznbdccPA2STCevrGuA0zjqN9L9xCc41aNegS4N2+lngqz/0+5NTe4MneJZO6/XgjfVjDlAf47brDbBZb9tA167j2N6v2WIBKPcwFsffDHJ17RrMMawz59o51x50wz9ZV44KR3f84FFF3bOjz8VFr9pE/FBd0kYXo2cDpw2W6KsyVbYIJmpGV9KEbVE6ijdcr31c40iRF4GtBtZUXpDfORaT9/Vlzi0dxwHfZzrQvfy+/qj4qc0xT4IZ5sZv1en0fG178ULXO2rkCK+3AoRuhkMEYtzXEgYYwZjxHBsrIYS/YH0yVidEf/G2JSF7kf2WIt9las1ET6Z2/LBWN4QStNw951NsThtQc71WMMH9sob0bXll452MVS+S70tz83j53zVhgSaV2CyyP39n78qkd2/4dBgEhtl/S7CtH4Iy5akven/+YXx6sXqB/NGB9BI9Yy7QFTZT4QHnCtyxRfu9Zcky3Lvn+Mvmhg3wCH6To9ocduupIuFDcWo9ooUTitkRDGFNehkAwMDYgOAmi2JqZGlEEb1CbNFO60E4tAyl1ujpjKvr22WshpbAETDCJGpPaGX7Wm69420MYeKBDaVYBdl1BAhAM66N7nQsLaetwLtGS5sKopTk6QMmWV/r1FapazXUsoRr5sLuqlP6shXAildB0BqFKCsCRK/J5FDmANEFhWV0yoDhF4FDE8qyRoEwyZLhYcGTtmtM+pu5ehGi9x0IhqvZALzCOaTcW1ojIMRoNzPZ9UItfXHt25fSu0GIAn+yRpb1ryAMra5s7ZqCCa7dMtiCql6nrWVVGqXWqGEzEy2fqgwBr+W7rsloJvvOv2NuMIB+EUEUoQZ0LY/o5mJkivPHYbvBkAYHlEe3GqH8pT/XoaucKkVu//2vHL/roG+0+fJ4Hf29D0jIDNNn9J4gpT6Vz4EU/C44x9iZiwbT8LR7tDqgdLn0bMDSmPTF8RpdCdjc4EF1FXvF6DerZmztr5JQ5+rD1V/uY15dp/LluI6hhh3I7/rs16p3GnjqY60uLzUocvUJGnfO9AMN5jS5zlqfe+1adUiNqfJdm1T9dfn06r3+dwNFa3Uc9aX6oAE216GLbc4iGDs6q1Zo0ICDsGtzoAp2ax85tPjljr20d42+LMOysR47x8aUf4yHvJJPQS/2tjvZC0T10TNPwbMG6m/wpjS/8ntlobbfvNstGC0b8GhA4uKWXuP2VXBN/yx7gCHgOHS3uY+1isWD7t1x9FF6DUJevuU0VJ9wLjkpF0+zd2TafdpgiOrAVgiwS/Acnb7vnFrO14I2DRjTUQLC9LNgoiDhk02VOJGcgZP8ho5kkd5s0KP7OMDJZINeUYHSBEYdZufBU9ZfP1Vd0anGyam9uuXKXHUIm9R1ypVDwdLylqoGlXzmSH92zLA3Ojeo8muzfJDMVN892aIn3Y/+bJ/r4Fk0Z7vQbb+raGwwc8cIHqOvDfTYj5uRbTChv3+oTu12tVKGUKNUoWOUCzAQw6SOGJ6zdZWIDKNNMrpZzBxUpR0tTwP6PQPqL/yFv/By7KKrWyyOYEpSZayUi8zZXR+62UWfBUvQ7lrZRsTm3Imwc0ZEsUsbE0gZWY+3/k4YbdevySgW2K3d0inCKtOMCTjaynNatnoj7gw8wG07bmWmMugiYtv1zjN/AbuWSVUIMOb+7xbhuzbFoVTR7o4yPjWcdcqMn4Aw7Hu35m2tDlczktYiiMw9tToJ/exazaYom2skanTYtT1qgoKVtaYUutmRzWCU5LdMrf26gYT2p45RM9g1+jLJAF03ZkB382k8eLrKj3JuP1pG1iBT569jasRSNtCGIN1BmdF2vLV8zR43A97Ndup4NauFt/QbP+z/0X/AT3ReZYbn9FWG9NVjt+o410l135Ym3gxbwTn9h4alH2e6myw5byBFeah7XOBJTzQSLWghM1twxJA1wyaCTA+JEluO0L0GOGOqP26Gjn5U0rwG2DyB42vICxrxLOdVJl2Qc41scfxKX868NXzrp7XJT/Og7OsChALPC+qNzxjX5z5jtmCELqmzzLEVtLhVPM613kzJXvtElxSoVl5c4zq85WeOGh043umjntbo6jpaxu6e7BngjD4dS4PP5pzMFHi3Vb9U1tfwasfZCgTLHuykqgJqvFD77h7s8O0T3rD0xFp31Ry1adUrT8HiXcPyrpUg20W6Qa4GdM3PzrN0QcCaDjX/qoPWZJ9bRqqvvXadcm3XUO6Jthf0d51l5Zse0JppZL9vcIwMN2joZXPSjXPYE/32u0c+0vn00vhYImT9GZ7cdVfialfs8ffoRX4FB+hSeKny3SBfeU/VGr4iExxotqJjq64wX9YxF0O3AmX9Jdu1sTaJIh8SOByV7n2D9i0XbSVCgzmOVeWgb7AF54fstKKIvd+1bEKlerByrApH4okNoC/2u+VtaC5QoTxYf/fbdJcyd0tQWjnShk+vjUe76m3HC5TbiFU/bA61a3j2a3E5fhfYUj3GSf7171eKVt5qD1y7clZ8Vt3agLR7upYNtszR5KQ4udgA/sYbxnKXaD4FLuvYfiRO7XbamkL4t//tf/tdZm3MhKDrgIiMDAEjVSDR9RyI1xIBDqRnwcpWznlCcBuQyCLuPDvl/cAP/MALEWwoBahuDQRmk97XtwJD0axGgNYAOhMxxuwDwKtcPaJijdC0NGRjsEbW2gXAY9dd9BWDdNOZgi/MTtlUYOtEKrUpoyjDaIYYUyu1tJsaBl1zn/HC5mfnfe3Xfu07xdPI9ZrIEiFT9mE9snV+DZKI9m1cM9adm5bVtNywm3GYK4JEcVSwXMMz1mpsO1easRWQmQ/jxTucOdE+/apw4kH37U7BtmgHKPBBX1pBs3FR0OjZ6KJ7NNpNvurwmeeCw0Y78VDXQjC6BR0cneusXad2vGSnThuKWBd6nTpRP5lmxsfcdfxopJEJQN71jU0knx6z1sV/HsPUoF1BZHfyZbgZNsE+FQtPDs9TZqaOcGXY/c2T3bd37D7PqfXM6FZ4tDFA6MYQre2zHYJdE18o2xL8a4SdngQ48EdLwW/2vZkgQOSp5KiAvw5XI9Vay4BVDami6RplvNOo9pO8AVPNrJnzRvELHFyv9HZOx3KzOR1v+UPgsDzcwIgXurAX+O/Kg342A3ad2vKafpROBSScO4+3syGNzMwtC5ZNqCMiGNVMefV+dfsTjzimzXpkmYc1NkUmy/3RQ58EabpOf839CwrLh2yi+6FxH3lm3Wcruio7V279J4iy4/fomzlsc26r14wR3Rv0aRC51QV0Or6q7fTZ+MgLet25uMGZBu7IrPkSKKNn1+ib7qNArzbY08oGOlZVAl29vRr+0l/6Sy8YcPsLTBdZloV/zeW9Fh5eOfL+3y7INt0UiIbp6sB0B+nKkLkllzCf+11HpIGzzuvK/e+aWk7xjhNQ2nUkMmTn3cO+EWscRlinQbr2f9eknwVR6pSaa9dZM7fwanm4Dtuu02WA9BeH0jW7zEkQCa9Pv+szenaOq2sqT2zzvgueuJ7zu0RFa2a0fHkre9Bo1+0+N9VrnvogCdX5h3lko1sFgB6/nOvVIbxBYf2jE+tfOHfXVv14sbNqNtVXXQLZuaxswir1DwW3Bbv5XNrVNR+6U6sO3rNbdeAawU4SY+A4DNS1YDWyzWy5vpJjBNrvVchS3SId++65iM3kTTBsTQ3IrzUCSMkp2UNsfSTkT8ZDtMhEmDzgttFnILrCjWFFSR1XcEzIm1n1ahS8wGe/WcN3ma7MTQmIuNegyYo5TvZCuUydqBrmG9Hdd888W5BivzWY4DzKxaY/zWoS0PJc1w8AInVOn8oYOM4isZpr3ECA+zVyViDUKD2+5+wy1PrdcgvVCsC/3TX1u0C14/Ze0NyxlWdrqLsOEK8AnfhI+TfnjlwXUOKRygSeLt3qkDUK2H4Lfuw+dx13dUOzeXhtv+vnnbfyeekFTLePzaSgDd427/rQ/rePO1aQrRniBo0YNsf3XK386N7XKb3ORjdqstaGM3rPKQ+9xu/VDXgWT3A86lgaY/UlAFKeKfivvDbAUDm/4768f/t/g2td38rJpuvpHfLcyHj5trq3lTZ1Ooy7GdP2Fz2exmPs9Hzn/Z575RxQqzNb50V/G5W/TnvtVoMr5qKtfHf1knF0icLem5XqmBpwxRfNzBckX3qVh56CNW2vOb+3agPf1QGkg32XFS/G8X+XS6BRA7YcC6XqbOzlBzqqeqbvZNO+C/T3gLJ+ujfA2qDsDbJX93Fy6cHy/2t6tYHs8ublm/LbldsGCgWiOr8tEe41ey3gHi5hQ+b0Wx/bTZoahKoc0uNz+vZd0FAiQpm2uescw623TLXXNz4OWzdjvLx5g6/kahi3G1yu3Wt1Xwp2tckkgeQmZNwfXxfLwiqtTqltvUvGOjeue1+cfPoYn9eZarAa7/vu+AYlykfV0XQMfFk90sDBfAu4iKMpIPZU1Ved/cSXdTLxHazVpE0fQVc57YaM1i9XbxTLfPrBrl95q35s/6o72LIG6lxf8sG5XQJT2ZRgq443d5YwqYRpoLjtI3Vq3WwOSTN3LRlqRFPGp5EAiueWfRXgi5x65MKA2pR1FW1T92ueo7X3ObPf9m3f9rIjsUycTUr+zJ/5My/Ruq7Z5LB1B+QapzpEnaAyKQF4EuJ97zPSML/n2N2MXJVhs5BAcTeYKa2bLSlIU4LXyHcVR8v/utkPZ8147Vi345ZdlXXZPBWccjCvsFGOHLg+N7jKbOPFIzMc1hrIQtbQ48mWsOzYOuQtSboOPPrVIF9QoN+VA/R1D3OysSlzMXde5mKNQWNsbFBhDgoIKOQL7LxuBLxjWOvYBU+6dofyMS7R8fJU72teu6Mv54nCbPYIPzSYgrd7XcGprncpwO6zW+s4eY4cI3Vb5bUBtyp/45RhAbZbbbLj8dLNiOmnoE2dg4KD10pFr3NWIHENc3mxvCqj4dE0o9eNHn828H9pVkDlMTmbo9HIM5+bmS14MP6C5urT8nHlGq0K4i5vf1B/Czz2m11+dw0VMQX6AIW5kg1Cuxri6kXHt5Su/ayzpN35KL3WrowXMJLD8gRZbACi9BYseHIQn3jY6zr1bZXlyz/V83RD13Q3wKcPdcDdr/LtPuZX9qCBEOfVQWkzZw22oGGDBXWsy2vuTV/XwewmXa1E6P3wjUoowLSPXupYq3M65wWf+LF7lGzzxpaz0jOCbA2kF+AbM9sAPHceqkcvDxvbB/F6ndPyPVq3fHuNnNIxAlHd2LJzjm/YfOtDd/zoMn21Me2ZwzJuTcLQQ/o5XGPtorFM1ldVtJ1c2VCP4CkGcs3yp4BaAwrFmOa3dIYZO0783GpATUm5Sjt4EK7jRJMB5eetKjNWy7OqVwRl9BmeLdZ37asXqoMaPF+TlGpwur4BTIcuXSqC15/wUDf7EyTRbw4bemjkYc1uwnjv4iHtgwJ/eAKtNi+qK9cEofk6eKDr7lV3kMcGh/FxcfdaA4W+47faklabVK/fQFPx8xq6CM6NX1RWmgvJxFZr2dOh42mrza+u+kicWgvHKXYMX4bezbuhQqOKHA3RwxHJGoAKe4GFRyhMgN23kXfO5Ig5ZbPs3x/5I3/kpSR259hpbddb/7cuuM+wIlzAqmiWx3gwhm2Unrr/gqNmUL17TIuNiZTE9JljO3YOuG3dNcIwR9x28qV3lYvF5C050h8RToxuzAwKxQnIr5lHTFtg+4M/+IPvdrTe9TzUulHrRrVr3BjOlXaiy8ZcYHuFjkIrMLsRf4qOEmSkWwa2z43CWYPwpJTQw/Ur4HWYqwQ3VsaGEcQHBcrG1Ej5UyswqgFDoycnro7OWqPJgiKCQs5HI9fudXdegyWdzypUrzp4HIx+F1xpxNN5lPRoMuAANBYA3dJwY1xrlPGC2waaqtj9Xn3lURP7Pp1i0xTzxAF+crD2GzClVBcQbtn31RdtVequaS763wVAdUQ85qyAsv1F06f//N8SJ/JMD3uo+nXOy6vlxRsxvmMtwCzofqKLOTf+ZvEFJqov9Ht837U8Nfzl5QXteu1mWAua2Dy89ETDp/7f342zfIv+ztNH/z+VwFc31fm49AXQbiT/OpLVtZcf6/xWJ9Q5vuCuZYPskPPQuc54nUz2i+P41G8BqlvmXH1R/XBLfN1zrUE5/RTweqKBOXINgZMGrrtvQvcKuFn4Oy560LUbgONkAMF7ZIgdgq9TWj5g1/WtJbSVp8pzbbtmXrueb202nYNcPdNlQ8VyLXWs49BATY/33w0Gy2xtXMNUe+TLaPcd3/EdL3uBeEykPsE25gCdh2+mBzjDHun0p//0n365DocDBm5wrgkGdq9O7uVv9LwBP9drIHbj9Qzcja+tOlCW+gbz67CQU3iwmLFY/yY+yq/6BYe6xsUMpYek0rUfEkPFRZ0b/b4bUl1b3AAKHi2+3HdVZ+a//3UO6Hi+ydUtNwhX+6RfxVZ1BHdtj3ukl69cNUhZPedVLPFrI2e1u7Uv11epTJeertU5Mn/kkD4b5r0ViTehUf9Ntalju3QHnWtvPjKnllNQo3sjMDX+XUAtu9rOtQzyRn5q6AyqxzEyu99AysqK59h6KLB1BTb72LHA/K4xpW9BuQnjFHmWrjVgrxl4oIlRb0mbZ3kW8DfahTYMK4HuxjZrG8fGs0ijR7v00RRds1r61zGpwV7bMc2UNxonIkbAOrYdMxpvbDUcDNcT8GKAC+Qw+DL+xm3slwcK0hmGOxeOrRBfkGKs3QgHP3mo9TYYI/htT8C8wO0qL8pTv/XXtvF18Oo4l+973yqd0qPzfc91vr74fJ3wghXnFOwbW0ve8biqBnNY2vm9GR/3sg6zZbGCMeNvDsXWC9lciA4ozz6N+dLv0rJ9M5doQSHTS/vdet0dx5D2mk/OoKjwriObKUBkE48nfqrDUIfkaXyXZwpE6Kw+Z9CcNip9nZDy9e1DaXeNX52azgv5v47sk/P0lDG897qt18WnLUtrkKRAowb0iTcAXePD+/p5nfgGGsp3T/1+ku/S7dLGtZ17gx/VqY55ohv+aPCp961dbh/Zpw9q5b8Ltrxec9pkWPThZpirJwvsLmArv5afSscnB7j8qv99L2As7nFfurTnr9WZ4cTeLF0DXKV7ZaB4g47FM94b3MDv41nPhCwft7GFdWqf9MoTsLxBjqfr26yx59UmXVp23hqUL18LENzgDrnGUz4Pr2yt8WzJcJQ9EspL5cur2wSBbd7kkYNLjuyaww3k8skJbbC29MLj+lF+RidNcMQ19hmWftIxaHezYE92pdgPP+N7eLib/tS5I9uv6bnKfvn4Nf1Fd+vPdbbqW1T3V0f0unVQZWSrtzm1fQxmdRjevfJ9x3t17tW/V5bJaHEWWb7OW4N57vWavrpY8gsecEn1xg1GOucGKL3X0a38SijgjUvjym2v1T7ecbQK6bVNXD8Up7aRsquAGrE1GY1GieSZ3GYXCfcV8EYeSpQ6gjKhc2oH4qZkFsWyozLB3PFdA7hy5m2Hz6gAouvjFNheylcKaFqCgAGUXmMcO+AB/xi9TjxD1E0P7mZHa55P9f3f//0vGxTsO+F8MkB93h6F49gLTEvvGn3Z1Sp9gHmG0i50Is2MIqXegEMFqPfe+Edju0oqf+Es1wAQngq/a1dRVplU0VB6jJ059Xn9WGb/tYb/rtJ6DVh1rDUiBZG+9+Wcq7gLfi/g7HXuZ+NuxqDKv7zZqP5VkjfK53zrqjm4F6hcB0D/bJBQXrcWdFHLgZC1yXB3ZL6KtUbu0uWzOZ/lFUaG/Io+7r9mPOrUXuN1wfHOtwadTsDn6Hz79OSg33kt/S+IB/Bck17yv0zlvd/l6fL2NW7tN3l8ksGC3V7/tsuvWun6BCTuPDazWx65wZ+CyafyYOOizxxfG2BOzYXXBXhPIPJJF/S4S6PSEj2dc/v8FHm/9+0aUPcrjS/PXV32ND6tdnGvu265fdFngKhzWdvkmKtrn84pTe+8Xie/tHd8nRPzeYF5dTPeKEB0LfYS7unjo4p7qjeeZK32gW0vbdhc/bFvxq7tUSEFn+igb/oHJ3XebzDyCVh7GVcb+/A0X50rY2nWvOXXxuk4+ADN63AZm+VNC5Cu0mbZ2Tm0dmRuuWWDCteBgDuHu6YTRtNdbxtPjW67poyb451L1irHlU80r3Nzg0vopCrPd4G5qy/QTrLj8tCTvi4O1E9yXJ69ZfWudWWq46zubUD+Yij+QBNX9OnTONr/i2uuTOEHmWs0Ikvd4b9Bw6vfX7NB1TF96cu1Aw1UtqHDlbnX7lt79JqN/YJX9qLo+ff46rFrS69+rTy7d+UJLUb/JuSuDoBB730uPT50p5aAij5RCHaTVNZFUfbRP2UMk/c0Ces8Y7j/lAUbNMVn4f5eU1zbmW7K5w/+wT/47r7tp3spgd4uzntIsEilLCEnZ9k7ZdGMMqLXcDeSCwhZW9gIIkMmU7zGQaZMdw3Pwfzzf/7PvxyzPo4Z/sSf+BMvOw7v+D1wvZHg7lIrm6lhzEZHy2xPymX9tL5456nnt9ux8aiL3/9KV9YvdECTq9wJys6ZsdhvK5lSfrQycVnoOj4NdqA9BXGd8CuAhEpNv35u7fXobZdXAlahu4JcILamHx3bE5Dt96tMnhyY3vdmaNBDIIMsui7HbGP1zGVrITk61i7fJQV407qTboxT+dy9uvN2d+A2T/i7u97tIePrl4eQr00eRb+tf7KWeq+WBl/DdOdNP8svV0EWwOzVjWz2XaWFB74rMyNzny1jbO3RdMl2MvfoK8+1bhXLdSiuI0HnFRTgMzQGoteauamjs3t3E7oCxxqTJwNZfnTtZgpuRtE1CjaeSqzbl/J0x3/BdOe6QLDBjq6jL790/shWgZd7jlal+w3afpA8agWwHeeV/yfgUztZEPoazz05bVeHVJ9yqJ6cxH2/JYSt7EFXtse4zZMgjsfMXPDNEWEPy0OV0evk9ntpfPmpulTTb3Jf8Gbc6Ozcp4C1pp+Xf9BXWXCrmfTd7+XBZr1ecx49KqZ7kgDtfpcZnk1eXxbs59jWeaLzb+WOKrMGPToHpU8d36clITatuoGL1+bKnJC1a/+qD9oHcyUoLlj9X/1X/9XLcbPtw3OrvuuykmtnXU8WdJhy9Ni1Vm48/LVrbPfk7/3e730XmJ9je/nTNatD7BHh2CY28IOkS0s5279mSeGxtq7xb5avtOs8th9s336zR8h1rp5kyzXxw61u6DztODt+35LsNZgSxuDsVi+QyfJx5bs089v65JGW9Ext09WB5e3OaX/v8bV3r5WWXweTfq0O0d+97jPo9aVl2eYP3f/RWW9u7PREcX7H5J7XuW+gYf/TDfymNTjSuMzNrk/37HqeZqFf7ff1XQSK7hKxD92pBYyBaEAamB2BOJSIUeKV2Few/N/d0xiCRr0aaZal3XrTKZZlXre9fYlV5QXYLZO7FyA7RVcH+JZtNOVe5dAI4a7FKZCpwcjdpMJ4asgaEd15ShTXNr4J+fd8z/e8OAN77X5Tpjea1dJDv5mXa0yehMVxAP36PUXcdXSERgTzPmPvBjBEhNHlOtOemzjAr39zcO3Qp5nDlgI2KnpBeR2WGjrKFLixbtP26a5XkHZBaI2se1fJtL1mxMubHFO8Tb6aMXKfC2SNs+Wf6E6JNUgker57ypiSNc4WZey88i9FzHgql+9uyd2QpGMfX22el4kVQNJmoH/8x3/8ZZM3z9EbH3B8XbvBjI75RvTQ6irs6prqILIIPNoTQBCHLuuapavXOi/4bvxt3fiu6VmHo3WzbvvtGjh9avWF46sz0IA8NCAkqGUN/8Dd5XPgtQa4ctVWUFOev8CwcvgEhjovgEKDl0qOujlI7++8AsnX5KSyUj1cnr5j6Nzc6H3np0GD0rwOYc+/pbiXvvr6QQ699trcXFqz20Di05xZo4lO+m4n9/JKdUTn4Qagp188jq676Mo6cXaf5ubSozbD2MsHT+N+oml1pOt0zAWtN0NLTnqe49aaxWJzWpnlPs2KlkdUhJROlQ9zTLfguRto0K/J+v73TMnKUQNSdcZLmx3fkuLy4rVnT7Zv91xAb/1w7p1bvFPdVX1AN5fn6X7X61g23tmXBUZtUMZRosPrLFaegXX96FMnlCBbjvI1X/M1LyD9T/2pP/WSSOGU0rfl2TqxDZ51PN2j4TXnk/3CU3Oy9bf0bFD5BsRvkK063xzgL8c7v3rT3N9Scr+7TmXUdS8O67kwrKqoS8PrXJOHy7c3QFYM9+RAFgMI0l0f4o7vysXFBZ3Lix+dRw+Wb9C6TmjnirPoGPxzl5V84VlH3SCAa8AdWseGh+zfs+/syDCSPYF6Ta06CR0lVRp8uDq0934NX33oTi3AqtMFXRwdgPpGKqqIyiD93GMwfaMHBQmIO8O57N6ymnNsCyjKtPttCm7ZwUXbHNdIz43CFmw9MSuCN/NiLL4/bTRyXyZv/bBR0xrafsu3fMtLKeSMxBwAUdYKfenl/tcgXNBfmpeJjVtGXGZW5N1jf9DO+RcYUzBXuWrdoAuNNk7juX1/4psq6Tp1zQh3XUgBqRLoZRXaOjelTZ2llkfhhTra9921GqEDZjhR3QDsKoqOEZ+i73Wya+zdwzw4ztxaW7L/PDMRrboevHqgQLlZ2u4SWPDufnNqV1mx1vkdQBgY2X3m1O7c/eYZZgUZHO1Gf/GafhpnAemV3fJV17+PJrv3vs8pJWuvGa0nfrzr6QRNJruekSjS+eSwFejqmzFePqiTadyNcNp10G6Dt13a3L58kLPwBHSu/L/W396nx5qzm6W8/XLOdWrvdd379tU53i+IvEGt9v/qb3N1Hd3r1PbcJ/11+9v/r4G/c/IEYtcqkwWHN0AgsFsebICqQSRgpXaWzqBz2OZ9hgvoKmW77OMFcLWtT3N36VnaVBY/iPf8fp3qtTuPtQNXVto/fazNudmhBs2LaYoRGrTr/c2zsdzAXsH8dJd1rRfLtP/XcXGN4ojrtH4ugYTxxvTdSn9bodZAPCfi6o3yQHnu8m6DZrufjTZnY4BuWXP2lH2tTUZPOqcOAh3q2bS79rK/C7quwmiYTFlz9WsdijX2tA4VrHJpXYen1+l608nl3ZzLXJLBfm6ZemWi9+y9nee6V9cWdzy96sw5ngy09Lpy2bL48sl9Pd2r/eKDlE/bLu9eHVjdfbHMbdVZV7Y6tquf9Lnn3jHWseuceOQpWy+Q/UvBCfSa1uSO/T7WPMu489zvaFOZseP3Pk/PtO+tkqqdcI1iaX2tHD7ZxY+0/HhrKm30AgR4GLOt6hs5q5NTEIr4N+Jr4AgC7DeiiSADyFMqO//3/J7f81KWuwmzW2mzuntNGe3/Zef+8B/+w+/9z//z//wuM3wVEoNuLe6NZpUm67tHz+y7h47XCDcLd9e9VmCuM6cf++3bv/3bX8a2h4h/4hOfeMlOLzM94EBJjF7G2/r1zgHG9ZnDYw4wOYCvjysNtU6HwdBfjtGu212hK5gUBcOi7fcFGmS01u9l7Ub3BR+s43YN1265TJUDpSzit6wYUGVt4+4zfth1RXHbuh15o2F4D/+jm5ILZTsahXSj/t0UbP2ZUw08zqkznlYd9FlezSQxfjUCV+nL+tpArTwy/hlf7X3zuvv3ebbX4JmzOrLGUlntWrqCjo111yrNd+4A0DKZW988XlsJPl5a/wG0vawd26uAuaW3aK8PDThU4XPQ7VI+vsBbBaKqErp+q/Pc73hQ4AR4H1/LUA/sXUeuUU20bEnRjT7f8dFZXTowOm89/v7rbpkFtU9OrOhx5bjn1bEsIC/ovA5HZaDX6HruJ510He6O2dKHthrnJ4NY+3TPa7+eQMp1dlQsdF5uxlYzt11XXRBxW8eOjh1TadlASI/rYy36CJkGn8pzrkUePG7D/ZXPWmNInsyFsmSyXhvm3vtsuZLMU+W1S1g4wXVgCoJuQK/68c53ecP8O6d7QZSGdw6fHGP3YxPoi5Ztd+fPG7AyHja7Or1OJ1vSvrC9dWjX5vAUcAoKlm86Vr81e1QZv4GC6vfreK+NBsuYzv5+/OMff7dHAjpZ3lLbdQNLeKW6oHSHPcZLsx+r2huPb1OoNU8c2E7GNyDpGrUF++x6lbPdR5nxgu7T6TDf933f973YLBtRNdCANvtNkANdBYvxSIN49AN+QLPdd5h3+O8uJzEnXnAT+fUYINe6427Q9mabazOv00pn0AH4pzrQXJFjeLsOE4eIPihft9KhGK++Que3x+HlBsLNS3mhmN//8Hp1weXz8pF+dGzV1XBj9chTUghtr+0Zrcfn06sSEMNFlcUvTNl5E1+Tw/GsPYOWRFhgZngHVhEosZy0fV+jp9eH/Q+Hoa9X5wLNuidSg1kNmFS3XszzkTi1G/CIWScKOLWdPOZjJLR2+oKl7vZrct3vAi2DtavdjOrv/b2/9yVTu35sgk2GfphkNd3r+xzbKSHjWTky4eV0NnJTI1h6uH7rzq/SXOPEYOwaSpMsq/gUfXPsmHLO7V/+y3/5pd9/9s/+2RfHTykwQHvvf0Ga61LASl4x4b7bFGG0nUCMkXesxxFQXL2P6wLxa4zWncuCtI1rx3Ni9r65WR92f5tt9PxGg65y5pxz2uqUCb5sTLsuRVH+4zQXMHV8bQXzzXZQ1gUwXiLK49fReN9n9Fdp0B2lKyflg4IACr5G/zoPNYzo4x471/PRlFdx9Dly18hRgCKEzdj2Idz61Gf1XnC0xuD/uT/35977ru/6rhdwMLneOlsKs87T3Qm0zn6Vao1xndHqmI19wbrxyeZkvNesRxV0aXBbdZRj0W58tv9WijdQBMzvezez61zXSSlPKge/wZKWsK+NhruH5RYrV9urfAzE1rBXZ9QoVfeVBgzU1TX9fEHBNWSVqToEpfN1UM07cNNN/IAZmbLK6GsRdfP25OTXqTT+2/+nTcDu2D4o836viXdv/27gofakjqljuossh2rfp3PwTPnVdzu9slsF43bAn9ywlwtM2qHfM+Otwdq19asZm/XFhoNkAMgT/N751UFXJ7N3Bd03+FyHqbrQfLd/a/ipc3dtVq/dcZUnfaZraxObtatu54jdqpfqrl6/QLvOH11YnVBbfLOAleE6LnVGHHsdFoHNtiUZ1haE3/9blzrc1YCBR5/hrQYLyy+ldWVuGMFjd6a7BVyaadX/zuENDJhzY/G4PzJlPTOaCgBPr+5au/dP/MRPvMjD8Jhnpzdwi1bmqJktv5fOnQc0mBOyvizoy/ltKyaT4OhjIO0RgX+uvLWvl1/Iyhpb3kyuBMgaOS3vkQU8VbtafqqtLs5pwPoGJ/o7nYk+xQ3afqP7LM0yxgYBr3N+n05S+W+lZJMO1Q/FJOjYOa/9qM5dHzd34/PhRYmaKxO/9L7NUyFW2+7xqdPTwwbusSWN7rlj+kQVtrQVJnsfJp/c7fz1RwJIgkEATxKAzmgArzJ4dXN10527D9WpXUNcGSwK+y5efgJ9NfLNklSBFhj1v/42xppw733Em3MqYvCaIUI0hNzxU0g7fopok3xBewX2NRDbvpv0p8iC8+/alhoJAOwCmTrXo7d1wUo5x+iEvpmyXr/g8s5Fx+oYGc0+bxigxrToUmbU8MZ1xtYa1ccLInfGwNEaOCJosk81plX6nQuZAa8KmO+A8wWPpdcF+X6781OFWCGmmOv0ef7yXqPx+K+ZnoJb9Op7wSWl3HkEsBt1LADud58BC/8Dm9aKdz4p0GYTC6ifnNf250k+8MQ2NplsC5QxyPRLaY2P8Vjnqc7Ik1MrEyUbNV6zlvYa4CewVzBYgF1Zv8DQs10HxDb3G+fOE0C4gacnR7rA70nRV7YsGZijAZj1GdiXB27wsO01BxA/3rm4slT+8/nOl2s8gbvrHF96m9MCsEbo/Xednau77tjv/S6I0t+rs++4tDr1daj89zSvrxn0C7puQEkrKJMpUhkhW9o1oMbFoeVkNVq/Pk1WJq92+i/Q5TDf4DB9D/SWTjCF329Wq6Cw/CCTou9P81GZ6rxXxpodrQ5+4o8b7Oh9b7CVI8T+lE4XiFd2rm0uL8IbnNYrU1fv1bGrzLt+9dkTb1/5v3JR50Wb7p7+WfJhOGXnt9rllil2fi6QLVYRuFdtNZ2GB1oRh9cKmN2rzhe6Xewn60RebNyz642/OQ1zEmbD9cemlJ4/2oRI+UVf7p4k5YE+So+sCsxf5+rSzRr66pUGSd2r/5ePeq1iC/PtWg2+1nHpb+xWef3Ox+W92qfyxT53v52nhlfLuw2Gubb3u7lil1X0+Jb43lZd0aBt+c+1YKDqtQblSn9BRHic81l9WZ76ki/5knf8h/blD1igywzrJ3WOVAcW/7GhfAPjgNuND1bvnLxmX5/wbmnW63zoz6ldmzG0gxnBrgNjAG1VpKJDCNwoQAcr4lFAt4kYIPzhH/7hlyzHMltTKnUeGrWgBPRR1HnHzxnexGx79vUJowBBFjY/ERjDYUT0AV4rNE8gnJChjUhHS539py91eLdRwaKFMxh7UY4DzMqga+QueG0JRB3hm3XzeKIZDg/8tkYFQ1dxu59IDaUqE7y230RU9WfX5VTs/4F/ZTMzGDaS6vPZLoitQmBQd5/xya6n7KKPZjFHBbsV9gYHOp/+qyFEY4LN0KLrvhsjY9xy3NHjBmVqmKvsC2T0o46lLLDMt0CF9dFrFBsQcJ1UIBcQwX9oJdBQIwYIFySgqc2S7iOb1lx3/f7kJz/5Mudf//Vf/+6Zgo3a3gBEjW2jwHgciKpjvL5YSoG/PVbIIy4A0Qs4C/DMxwUjlXO6Tgmbey9ruvsqI1Ot0DJN10fzOmalh/vsHdi19ni/rwxwZWtPoPmC59cc+avPGyisES8YuqCgWZr7v3tew3rnuvN9gTXQUSPf/Qd6j/ah47pj7j2uk0Pe8XR1ypMtbP9vYPfS7oKA2pECeC9LN/rMaHJTJ8qa8dk9mdTx4PSk/RwcRyZu4I7j+lM/9VMvumzH2e14ry6nMDfGymZeMNxdfXcPgc79151AC8T2Wj9qA55anTQ24wYPWxZcPdcS0PJMeb44AJ8AdnZPp8NbtdWND6+NKb+XH2Em4HW0JlvN1K41c/zkJPt86Uaf3J1nKw+ut7EKELbt3GGzf+ff+XdedgseZpsdnw4cr60kmFzuWHyLt6uP/Ma2WS4zvtPP0WLrWwUm2SyOP97a2Fpl12Va1WmbM88w3T3ZTaXze+06G89+kzWe/ZoN2aaHcA4HpI5cs5bN4Fv+tf9s9mU/CpgbD1/HtjgEL+MX+qQbZV09j959r6NfPUbnwPFwXu8LH9QmNzht/Oa3/agsurZ+GctTsOVpbHWcq5/1oee5NzoV77QSpu0GLjrmVgm4Z3V/50Yf8Ch9vrm31EMZcSu2yMuvfR87T59vGdnkAd02F+NPj0Cd3pwvVWd7r/Gsa1V/1NncmCZ/fSTS7cdThUXxxp0D8rdr91Gn+PojcWoHMOdEzpCtjMRkN4rRydWZq6BvJrFlZgVJiEfRbCK2ZmLrwjYxS4HPuWvWz/bSBVhANsLu+lOGtnmfwpljuLHtu6xvmbUGoMynr3XKqyAbYfMiGDVkzeB2Aq+Bq6M65rMJA4fC2DBsGac05gQVCNaB9rkCt5IXrcGGfZ5i37UmeObH/ANbO961N0fb2ItTB7hwmFfKs3HIIJTu5Z+WtqzZpXDvu47Hqswht1nOE03bbpSuyhXdjLt8/hRVB2AARNG2KQRre23pv/9tJMQhWX8LZhqJ3r3xErAkEOD6o61H+qw/c2wocRlD621cX6lVFVDL+qqQGTVKuLJLFvSTA73xcbJt0EU2pmOmwNevn/3Zn33hq/02Jd4suw2c8Eej7V3PUn4G/Kz3q5H0zih005s+61FFhTluoKGObXmMUVhTibA+T072mu7Z76PLdaZdu9+B+CfexQMiu7u3vQcEzi6fo/9ao6s323Qd9/L6BeO+6yPdXNCj5JTOe1qvXIfSfNbYVQ91bXfL/oB+/NdsUcdZOb4GWJ+bZauDii7Nij7NzzXUePaOs3anrXx8d0y3dKCZmPs4LnwxmiywQl7Yr/VZMG7X27F7ud7oanmPkn2bzdEHljLUWWm/2eDqir3vWoLKZLpVBxyTBifKd/pwbWhpCnA90ZR+gyUKrDrH1W3NshVj3IogGRU8qj/TY/t/vw3foC39ezNd+F1geBsWmde7trGf6Z3r4JbvjE1W8iYaOleVxd2jVS5tHJbv/M7vfOeQThf99E//9IuNn64dhlup8nQ8u2U3fUF1AVqvViHR4+tvHxfD0Z1ebYCpyY6OG1YRYHbNLmcRTCiv7/pz0Pda/ze+jWHjU13GsfV4RI9CFPxv6eqCTftvuGW/7Zobo6cC4Aky0daxXT1R+93AB/tevW/uSp+Wy5dv6nzBM91fY8e1FJ8cNgjjvugEP8I2a+TEa/ToeBoshDuuzPoPVikdSqvq7gbSr3Nf+qA/vVf5hxvd0/X7KBzJPphOQHG0sHmqR44uIafKEL0FYn7D+/w1vrS/kKUkdJVgoCedwDL7zwZS+97na5OHfW5ypHvedCySGA1O1o42wIMm+63L7hz/kTm1bjaDSLFQ5ARIyRAGaHT1GgaT/9QobgMD+Bd5sPvcooDKE03Cy6Cy3qSCDxwCqjUMU0TWYJq8Zku0Gq7+Z6z6qxGCp1cjn5zc1yJBhK8ABQ03LwyBMlbj7/qAvpoxuWuw1loy1WfqFbw0GmzTB9k/ykGwo8GM9XGKevNph0wCToAoRLxgTilEyqsC2ei1NbgUSstP9esJdGqdQwKHHwEYCqyGskaGkSTcsoHAIjBItsjO5ItD751D1fvUYarjqLRZBlKwo/K3d2WDHIqCdwCoWRXGAA8CwFozM5WHNYp3/8tc7J4rwS2dS+/RaEBv9AB2AV4OYINedcBuEK0AzjiVVe88EUtGqOVBdYw50zd70khr711Zd327aDaSbbwMyl1z1DWFdRpvAKHgYtc0Hs7O1Sn6fY3/a1nJC4KvfqpxR7dG9as3WnLN2QFGeu/O2wXZlccC7uvIAXnN+tRONBt1nfFbVlc57HHlrerX6zRcOr7GQwUKHbPr91V92/uVnvQqfa0KQpCIw4i3XQfQ77ITczheFkBYkBhQlx1q9uvySsfe+6zdbM5dnlGgVZANvD8FA5xbut85akD68mBpWuB/M74t12uVDVu41qCZyhAYp455gyS97k0Q9GWMHR8bWgfePT5IzitzlzdLM47nU9txsp50K5u46y84MrqMl4bDBGJhTLiGXapscRx2TctV2IVdT6bUOPF3HdTiQ3T2nXMM/7gPnq6z2Gom2eS9mmjYC0Zh8+2j4hrltQZUW2XwJD9reKDZVY9u8Vud1wYmK3OVterWJlbKB3ixjwArTes03WBCcRj+vsud9nlz26ytLP2cvJuEKs9e/WreqmOr46vX79ifbF8D21eHVP6LKYodqpuu3SQnApR3bxH3dc9ffH+/FvoXzuy8oHmTTRcfle51PI2Bsw2bVC9cfN3XDWZeflhr5Wjt7Ufi1AKj1g90d6y9W09YI++/C74woAhV/+v/+13afFmNObVj5j3iZtk36y3LgI1OSmVjHkrV2rIpk2U7ly3hbACDe7X0qAzb766t7y3LLQDBrHeSMALg12zKVR4YuAxDWWFSEZ0rhM2SeBC4/jY7gm6itSKfNxLHoVGOw2iLYDZCX0Xs+XUUrqic3dxkLZUic4AYRddhkCogDJUy6T5nr4bcXFyB0jo/PafgoAGOlqbU6TMO2dOu42wUcwZ4fd71ZFAEfdC/YHntZmSAW6Uqotx33qtgKKk+UqlOLWe5vIhnb1Cg0TfXpjDxDcW4qPYqI7bD8aV7N3fYWNwDb1xQUMAhAFBDpJ/VC6Lm9I//ZX6NjzFAB1ncliU/RfyvkSS3sgeMdsvSB2hFVF3XqwC5+rK6dceJkKtYMb8NErUV5Jl77UbqrxzfVl1TfaZP1i5z7q9hb5DoNWe156Bp5bqBNufaNZvjLPhKtp4Cq3iGnrjZ/utIXFDg+Euvzl0DCU8OLZm7/fogp/bSpMFh11UNMxnE854Hje+BmZ13gwLGtWNmg9d2jWVOOLXd0+DO7ZOzv9YNDrtT6c7rMorKQ53m3ueDnNry/lMwh5NSwFVsUUewxzU72v0bWtmCB9nWNaXrm4MGjMtT9OI+y7rK4JAxctcMVXWf80urG/S4Mnl5tPPXphT4th6Pz+aEcICG6Ra43PKIbbC0SrzZPwmGypC+FgzDB3t5Hq7j+pgdaxE5hpxhy54qd/QsDKBCwH94HC+4rkenwS/si2VG3YRw9DIOuxJbB9lN8tjeBkY+yMGqUwsnqgQzRjx4gyYN1tZRqs25QcPqZ0FaMsBm4l/HXx1e36AJjDqDo8dsLxmzueb+r9NeJ7afe68GukuT2uyLudHKGD6bU1uZarBrrXjqyuHthyo/m7OaI5tySVyZl59/v2KDo36XIxabcJyLLdlq81A7jV7mevwsMWD8pW351W/XWS19zK0qjVYivYY5PpSNokbUOYFKB2fUdM6ATVQ3engyFDX4ZXTfd9wU3hTfSjk+9alPvSiKrbWbU1tH7kbYZGI5FYQNSPEcyvVxpdQ7blHCKVelqiLOvW4nyc5lwCNATbgBya4ZUG5ZYENZznFvqSI6oJ/7Wl9boeAYubZMFMecA9Ss0wX9Mm+cKIZw/ykH7ZpQhnT3WCk45ubAELAq4JYczrGVVdwxoqw7b3O99wElQopXAAaC476N3u9cipHzu753Z0SKHJ21K3idA8qiyphiaRS5TqRomzJrdObkeIyOXZntxrvjp7w5b8aI12yMUn7ate1Gh1dE7sw7ECA6zGjo/66plAydLxCtY126VXatUZM1dv1de+uN/oP/4D9477/4L/6Ll3OqE2ocADGKnAM4UGA+6tS2nMt3MroxAw0DEPu+642X7ejeXb33n6zB+uC6gKP5KIAA1oyXfLWskVzZwZB+2byJ6Dufcq/jpFXRcxTJqz7KigAAu2fPJws3WLZG/5mXBiDpswYESgfyQF/g6R0/Pp9+vU7D1f10YcvE8ae5BQz9JqM9kAiYjv/wC4DAqd1xPtMj5Kg68so8/pBtusGepzK2XrcBSrar99aeMsjVTc1eoRF6lIbuI+jn946za8jInaxU+Zi8mceCTsEeFSaugy86/qtX6nCSNTRogIn8NAtSULXPd61hafrkvFWuCrAdS672KtAD6m4VT3Vaadtx7ffJZSuI1pQL3jXJ9PZewy/7bYGw0UWgjtOER8lsNzCsrSC7DRDUgSrm0e/riOx9u9T3CQL46DoZLd/fNSz/GuayM6+nEnROGtQTiOMo41ePIrEEadchJ3Qjp0DVQYO5eJQeWd84n7MXG9/6umDQHHDOFFsCB8oOz9bsWNnmja/BrvIXuWr1ClpVPhpkm167jc0hN9VVxr8Gn1qrLhC0vteJrePuNxVX+08Aa2MbffzWfWmqo1yr7QZ9JExUMZlzT1iZzmEnx+/7bcuU4NbyqO+vBWq8Oi+3EkLVUzFUW3F55d496CTXg5EdT6cVq+/FRyETG9++w831CYqZPv3+3Mzemu8dh//4J3hv/5XmdAva32vvXfWX/UAsKauck9vhK+fX3lTHNhAJs3LoW4H6oTu1jAkFugFbn6OOuw7MBacdwJPnfQHTGPeHfuiH3j2KZ4RbdmdOqOibiOWNjmAmzpWSV8fPgeUYeK4Z5t49Z7A5GY3CNOvy5Ig3mtgIj92EG7HehPe5bfrbiGcNZI1tszkVNOXWDRZUadyIm2v0c0s/OLc7Z0KihGbBBkZ4QrffOEp2zTWWRv0KDihfhmnHbVyyc+5L8Bjv0qa8BhxyNNF9fXI/yvy1YAo6Feh3Hvpew16nlkLkgFEYXXu2c62vmUK2llv0mBNr3Zq5M8Ydq3zwKgtZ4GbK3LeZzj6Wa82Cf1Htm9G/9LoGok6tDPn+54ROjtFsv005Xz5vFPop+lqHGcipE9s1bAA80KN0mS7iYMt2NALNmRz9BV1k9i6ftayIQt45rWYARvHXlTdgCLDxqCkGqHxFXhlLdGmVTKtTnE82n4xxadwAV9fVue996VPlQjWHskQvgaTq66tPy2MFVgBRwXeBbgMgdeYEGpt5wQ941YZoeO7qykbw60w2Q0rnNEjodW3cdQrubx1/X6V7HZQCqTpYpfFtV6f1/r0+/qYTrhN5nUTnqB6pftaXOhLVv+VJY6itKNAyx3Vsze/NGt4AUK+tf+go0+lzg/P40fH60MBKx8uWtLJDMF51xnQjvVSnrc9KBdA5ZTsPGLUcY63lhM24VKeiVwH/a874zbCXJzuWBrm1u1zoKZjBCaqss6VP/Hjlqry+/1Vp2XRPIJRtleWWCNl5N4CAJtPHzeKay73mhAscNxh2ZZht8riTK7+lp3F074HrUOjHbMwSMN074PJ3g4yVm8ogu4bnb9WjvuKpnldZIbOWKMpsc0rWX7Swc3PlyLjYCZlt9G2ASwmuvrYCqDJcf+NpfjrfDRJ2fsprzXi2kRc0cR2/60/tQu1uHf1W/HGwdz7cNnpO9ocXdx1r1Juh/cL3MYQ9g9BrmKS72V+daTf7OrW1oc3erm/D6TDm9M/FD3BA7cKVDzqzGd46s+T36pYPzaltRKnG38Yynut1Pe+rQAnXNWYAQx3PRQB3nOzpIl/LChLAlq9iZJHaRliUMFvXuM8TLiBr0QaPkPmxH/uxF8fZrrlXodeAVdn4r1knNFLaXJpc48ipvrsIulYZoZGQAq6bBW+/mjkqaCv9b3Cg4FAZrbEALGjNWaLwrSN1TQa55XINeDRidME0BdN13Dd4cOlEEVFSva9jStPS+mbGbiZRn/Cs63YNIVB/nRMARUR5PL13Sp/xXZ+25hQtOemiluhEkeozZY/vajQFHmQIy9eytZd+NQwFbhd0NFBQuba2l7MMWEy+q1tqSLU6SwWZfQSUcq2WFtNTfvdf5Q5dZbKNxTztfY63DLs52zUYb4CgOmcgtTvB7rzprgJ8Bqsy151AmznHP4304tGrSwo4Wk7kfna3XStIQ+vKWg0zHdXgSkuKOuf4Bv8rqW4ZfIF0derVedeJqBNcnsRXV082iApIMdZ4fXPJMW1Ws+3K152bnSug2Kxu5aLjevrtOvdXl1fOqtur96/+7u+9zw1M3MDYdRxco3NXQHYBOn5uVvkGYZ4cTWMkb3e8914XyNLHd9Oi6qrKzOW58sxTYODqKVgIjeoQFsC2+soz2IdBVv1EJw+All/vrtP4DZahu2Zvd4ysGdqq6Lr8UKDa8er3E6659PZbA/GXpz8bz1WOq7fp3gb/BKPhOdnCC84FqLr2cMf3Gfd0AV5Z34sJGohqlpE+3LnT55a2VY+1soVsoHed9ytr1+Hv2J9ovrnfZlvV50+y1L4UI1Z/OJ7cVZ/giVZstc8N5O1dWXaTInsfjc0Lu1T9VrzUJxJw6Niz0qHVMjbkov8Eu8hn+fD6Hq85taVZAyENUpbe1W91woqXmgEu5qhNJ+NsGhyzlwDB/BKBr2EUG/b9mveDRHvdYLbyd8Gyyr/M8DDZaG+MtxLF/Aqs7HfVSnjIfJqfJk4utquuKmbtenoY5iNzahsJsBOX9RTrlLKPCRun0gAwcjd3MakA4ZT1gPzeF5GY47kNofbg7h/90R99lyHefxZB796eM2vwMsgU0oiz9RqiFRiUQG7i1++v/dqvfe/7vu/73vvf/rf/7UVp/KE/9IfelbJVEdfgdi1lFQowrYyAsS8IviVVIk8VNoED5aYFEq7baEaZoRnEKh8KwrxitmZRCJS1rLvO5mPz1Gdg7ViP3RnNFgxgVMYbriNLRKkS1j4iyKYlO4ZwNZIFrNS5Kq2818jIdIo4FqxQRAUdjm0Wpkre/Su4zc42MyqC1vnZtcZr26BMKVM3tGrp0mi/3canbMgZpTe+Mk8UCcDepiJB6Q6nufy1d0a32ewbLNh3GS58e4MPBUy7tk3YgLuVHk+mlOKjJxoDzn1mJmUtE7txUNac2jq95t/cdt0Hw6Usda81Zbrmb9+31n76iO5SRq5iQQaAztlrumkRz+mwycTmcnO9YNze8a5dneuI9sVpV2lAX2kFTnvVAFS3Nbt2G55do+PqeOAnslIddwNFVwaUpd1+4/EC3ToP+KwOEpoU7BUQ0LfGCxS7X7NV9LWgg+zOzpExa2vQCF+IeJfeBeIFRG01+Ld0to4X+9ggwj2m89mAbqsHqhevc9FyyI251Qr0H8DimnVqyYyxFMDgW7xDFjuv7XvLvyu7F5zXwbu6xu+e/d2mn6Ubnru2kGNVfXIDKQ1MFbT1Oq5r/LKz0ynDItMRe6zXeG4Y5+Mf//i7daGquGCo6pnNyZZjwTIf+9jHXo6xCV35qU5jA2j6WCfAeQKA9GiDGJefN+ceFbb5bqvcl3+fsrD4Ds8XG9Ex/U2/4YgGNvE2TCETu99aci/4IctX52NtetySEME5YH7XNk/0AkBezFCe7vI7PKYJcO632YXitVaWkbvd50d+5EcenTPHVV80cKlM9waRWqHQVmfd9eqEyJQqBe6YVFTtGMePR2E7OJyzNXrPbu41GYY9d08ybf7ob+eyUbLPAv4NjNbBbaa0fN2KuxuAKI01c9oKExWCgtMNaNRnuNfrf4LbxYZ7qcwYfZUlwyRf/D5mMi+f+MQnXq6xJJ2EGZ1C7nfOHGOJB0kTjwWCs2rjdy2PFdpcCcjhIz4LeVifVKqVjxsQRGtBCjgXj3xka2rXEFfGpB3kaCKYiZugrhHuZtBEEAqG1uxuvHvsusoVZXn28riKOZ9zAkYUi8iVDVKKXTS930U3KCnOlF349v+YZtvNb9JmcDoBDBUGrEOIQTFBgQ4D25R7HeO2Ruc4YL1m73OF8Uacbl/qpDe6DiDJvnMmmhkbvUQ7Xxjpfcdh39F91x9ju+b+Hw0FNfooFpk3kaEFKcYXNvSqATTWm4WoohY1tI7ReSLZwMi9hs/m5Cq0p6gzY9fvNUhVYGg8flqEHU81Yl5He+X2e9+xA0FKwG0+0ehqjanrKffp82aNu4qigNHma8Bpx1/noGASOGw5KOeCfJiXAToOYu+vz+5Vh4oxFrFsRL7rrfTlyZloIIjDZe6Mk54A6PfZpls7dw6u+QdAGBIGVjWIYIft+PGgzIxHTXC+nkC6Vh17nZpGz5tR9HlNKR55MhfNyHYOXLfgniE0R9WtAjddTw+Emh+GvZsAXcfcHJYHSourzxqUaRQcgN318PJ9dAYj7319xWOVITIJaFamW87VtZLVwY3s38zX/X6dvn7u3OhTs0ql49VVzml2QzDi8srOEdzh6NbRaRaMzpWxA9zvcWyFvjToVSBa/cEedB3qrtGgg/MqK/b7aPN4jAb8Gty8Gdb+X+fO77V7/WzeC17p5OmBYZMFKffYljm32y9kgS74iB7qGOk+G+UMl8wOKPnd0qkGWmoD2eWWhKLbEx1udqZ8eRMRAjmcj+tg0R/kGT26G38dve7DgfcKbPEoLGGpTqt09v/mfnQViO+5cI7+cnYrIw1WNTkgMbNr1JkaThXIB+Zb+dHlLzcoWD3qu4DIxXGuVztx1xo+OV9o1iBkbaa5EpRybuVK/8g5vvbdb5Yr7T/0dwybOOxIttmVBkHH35xaj/KzXEofNsfFB5en6ZTarYvbjBudKwPOb0CzdvXyeZMKHGY0N3cNBOIr96jzTCarG+s3TFfgBcGV8eDlmZ97vwJt76t47eODlINLEMI8V8/VBpI7/EC/NJnovTuWd6PGYl1zR7eg7a2w/XxKj/+JMrV9p9y6s1qFtBHVKlsDxgxj5Lsm0aTtHLv8zakllDMIP/MzP/PifA4kLxKxay4DZB2cNawIxNmgyBjE9d8GKjI/asvHDMpMNjaKyQQ2NQ4AVkgxFQVt4gg7mj0pmgrNGoV3BaBAqEJQ41qhLJiqM9MofxVx17w2gwSwFOQarzmWWUQzWRqlRjWSBTKbD9dtAIQxKI8599LB7xc03kzAjUA/0fmC1H6/j8ypEW3EteDC5hJATOerzsNoMZ6mTPymfxQjgLDfZFLRmuGvUnsKdrg/RWW+0eNFYSRQdYF/gyF7Ud7Od80p0I27yqqgojxP3/S6dWCvAr46qr/VcSuQB3TcG98CwvgKYFn/0dPmY40S7/ocOEZx51tbvN+cU57seEuv+3vp06xMnbrKumttLN1c5BpN17vgoBlcdG8ghfOqnLtGu7QtICvf0pt1EKqbKueVp47V51alsB/6IUhjfI5rZnef6abyde9x70OXdz6qDzqHBa89/ur6JxnoO+D0NNc3CNDsKpt1d8RsP4H9BpjNfSsJ3K/9YQ9uJL7ntUwQOAYU2RrH9YXPqyOu7sa/dwmPIItM0gVsdWpLB8HFG2zWnoJ8T8DZ+rBhigbKWlpYB6P2eM2aTBlxjqf5qRNNL7PHrnMreMpnNxBqzi59S3O2zprgrte/19Y3SQ80E7SoA3DlGZ+jJxuqzPIGagW1hheNi54CoD1pYL9PJ9JntVvdud3GkzbIkW2UkeuaQnLjXl0WUae2c1Y704DVtQ3FOA3+9f+nwNjFTuX/e/7F3/rarHkdwepBG7Su7RjVS5bjWH8pWWKs5nnHWr7jGauwjc3D9n3zu89dq17chw70Bge9zrnjr06+uPjJvj7xeQOssrPVWea++BDubwCsco+uaN4EAXumSmHn/vz7WBQ/T2fwn4rDu3sy/2TfWx33NMY6pZMB/I1+7lvb1M9driEDLyFSLNLlPfDBR+LUNiqLQCOOaMH+22cMoa4bo+lwwc5eFj3vNWZdlIbyk/VYhmROrA2pbAO/iNzWpWzStiPyd3/3d784vAxHgauJmdB88pOffOnHCLso26KddvNSnmFd787ZfVYqtMyZ55+V2QiO8Xl8i0gmRYNpTC7wt/HOeemOtmiGVhW2Kk1KylrFAq2+KowXbHFilSPYQKugAlAkqJQBJ002ZveaQZlSWqOYGNgKQ0EMHupOmmsWpFdZt5QXPUW9urZN4KKCWqfoCRgZJzpdAE0BE2QBGp+d1wyt8cly23VQCZSgT523CvIU+nh07+MtWVfn1nBxmJQAuv/aLeUon5QWsrV45jqTWr933c0+e4xRnaQdS6ZXql6aa69VK1xA1cBGy+sYkYKzBmwY5oK4NUEcoEhQrM8Q3j02rsk0fWcTqO562aqB6SJBtsp5N9O6DnlpWQcICHiiS0EgI1WndmO2E6H7lo4FUA2ukf+e1wAdwM6pbQkemhSE77/1w8YpLQNz79tH43S8iG4zVHenxAIgoL7X7qYxAp10e59hfB2V6oA6rzW+DRxV3gqU0dR8A1mdV/JwbYIARYF4nfWe03JP+gat0IOe0p+boSInva6xc35auQNQdg79J3AJSwBce3nqgMBQs8Ouc21h9be56njWBKlsqFRdU4eu2cBWq7ymkxqYujaEDBinyqPRyY6ho9HeZ+823pbetXLKkwHY2m/+5m9+V8a8aylRBJLpCbIgm3mDuHiuDk5Lxs0fnV6+FjyYLhyG8nin8hHHh8MzW775xh/Dfq2wqd5BQ/KjX+yaipc+VsQj/zbelV7KcJd/+kg9azfJsqAte2QfFvsqeBTWlsOR5S4pgT3IYwOcePc6YfrTQLz/Pde2pdX0T48tXzaYceeDnupv+t5H2fV6XrAtvOG8+zubsHttvocFt0/NeNtc3AoI/YK5h/f3BAyVZvu+5TtkkXPcpwfUDupXnWb2B96pjJQm/rv4CG54yhw2GNwKRbqYjuHwtRKg2Wx8Xt1JDoyppeqWNJjrn3+fl2oD2T73cl/y1KA/+jbIVMean7OXR1ZxqPFms7R18lVPVf834IPH8FOX9nykmVpE0tERsSXIGOKWI1KSfuv6QAudlR70cRjdffibvumb3gFlmy5N4Fequu9zOv/En/gTL4pu36eQPGNvrxF/zunS7TMIO1+2hYOuPn333HU4r0qkAQHM0JLcXbdOP8G32ZQIuCjJmonb/acs77oUk8xZJFxKXeq81enDCHVYtCougKrlZaMBx7aguOCuTrK5pdTtuDal49mbjjUPnhPadZL+R9/1Y3O7z5wM10HnKovyIMdOZrNRxyr7J+VvfI2qcuqNt4Ceo9hIleMKIigqAKdBic5bo4SNqOIfSoZjDIDpA55qJPWC6yoQ92c8+6gUjpeMvZ2te24jixrwTJbRonxXulunjQfMwxPNyU2jhgVmeEiApqDc3K7ZnAsQwS/rh7LLGvsCr/1nEy4GE89PjuvUTv6tORLEs/atkfPLo2S6+vfyqGMYuBouTqr+VkZ6jdIEj/XYRuhvYIcM2EHaTvTNQNEvdPnOn14QWCAT07XTf5Yo3KBTxwwMcqQHrD3fUh/0c+d5HETHib/Zpel9YGTz083InoIpaFHb2PXJN1i2NttF7/X/lte65g0g4ReORDf8wIuuUb3VKD9eqG5jx3rfOq836Njgwg2w1BEBkFqm3eUfHLQ162BVlXQ9rkAn2pB3slEn1mMv7u7HliOtTO+W1l79rpX+/dw5JV/+K3/U7qLT9KfgJEcLWLQ20fISFS3jFeNhlwfwp1d2LRtayj6WhyozdCEd2yCB1pJTGK78re16MmocjBswaIa+zs5kf/9xxtGiusX5srCCvvQxh9aO8fqE70afrVGWVGkpMptPjpYgcZwKMTy3+00XjG8EePa7pTPd54QN3fHwJHnY57tfCX2hTPTJYboBqr3vGEu8bkNneKyZajqpvEqWq3/cpxUKdW6unlB5t8/do0K2fK+V23tKCr9BRYz77R471/LB6Ul99eQSONWyLQ4evdJlTnTFPtPjzQjW4W3pbQNjreZp5vDS/Or5Nbiw1SlPgWh2tcGCa0Pt64O/6BaBFZjni7KXgTW2AmX0UoPIxXj7PBn22EMyZp7JGtt6gy0ww3Wem21vcmufu2aaPmqQY8e2iuUjeaRPjWwnhXL0XoVYpsXQUyaEeEquD6ju9Ri4MfhKjCcYU0I7xyYrjfzYbbeLyClWRBbtMCYZNoutKaPdn5ITPfB8KBE46wNuFPtGP9YKYNGvQkI5PEUm6uzcazRK/JqAXYfpAhsCJPLVaE0d2jaMVqXu90bQ6tSiG8DY0qsq6ZYpMJYFCpi/SrgNaG3E+TqI+nwFBk84tuf3XNnhgpc6EHUoKqTj0fFRyxyd794M9AWYdQIow6toGykueJGB9nmGojzhYfXGxmgwXN1Eh2LUp2swuz6+/AQ8+67VCSs98Hr5+zp0DeigYbPdPreEnkJ1PxmOfR8dGEL64gZ3BEsYS+DTbwUJ+y5jSTZael/ZLI/eQJSx+ewctKgRJqs10q/phQvWmw14ioLXgbb2rc8hVv5eB5ou55TR+9Vpst2c0BrQBtOacZFpsTlXn0muKY28eq/Bj5Yqsz977yOi0ObyX+fx6qKrl14r+33SVz3f//ols6MvLbG+QLF9bYC5MgLw4bH2sbJfx9axfdF3ZBzNr57CnzJtO16JYtePNovnnKuf7xzgzzbB5NG/y2lK58oePtGqg689KSC7PNo55JDNnlkjiNdUGgjqq+owL3VYgXfZSsGgrhm/Mt6+mKvyXwNgPeYGH11PltM6SRvWtF3bRc431j7qRtWRsZnHBjJ3XoPEeLZLasqTu/Yyx7OzHFDXQnN6SPklzNclV7Cl3esbTKmsmXc2rk56ZdDxtX0F7fRueVEzV/uf43jn5il4Td4bgK7TW8xR3uFEXj2C/l7w3PjQPhWW8NhobvwJBy7r2oqYBlY2rp2769o0zdxWx3R/EPNKl2tNvFwaPsksejdw2uDlUxDhytfFgU1eVRaKyQRaGoxeKxZvxYqlW8VReP4LE4Dc/8My/CHJu1sZ0Sc5kOPi8ibxvMOS7mVMrlNs0gC/gBU+Lh68Tm3x+WtLJ/6pndqbqgYC+qB1gr5jZTtMOsDgOacmsLsUrzGeY9yVeUw5LfK2qOSiOCu5GfPvXpsAhkpGrg5t1/IyVJ6ni4CcE+XKXnYtdc1ldylIEQ6ZTc7va0zPqNd41qltZOw6j/sPM1RQXPuCqp5XpVfFRIi9OLR2Nb6GrVFyjUFZK5BeA/D3agkH3mA8HHOddEZu11WixCBi+AL8Goka/wuGnow62mj4wbWcV/4v7faSHbogvAKv/HOGllNrJ1/Oj4w1RdeM1WihKmL3YDDab4AUL3czBut/GJyV8xeg7Vqb//1mxzt8/vSc1WazGcpG5Y2hG4K5v/nXKOmWJJVPL3C9hgegMM9XEYvw6v+agJSt8q2bWnXAfpM5adVFeaxOrTJk2ZCC3b23nLXOWvn2ZmoL0uqUoAG6tCyKHLa/rzm115G+Bnf3lCFDc/cSgJQtbQauBrb3kJ00XwKbvgNH+22ABs3YiQILoHRyNPsxXl4VDnCK9z0qpQ57DWT1TR97MH4Q6RZUrbNzHZjO1dUxbXdTueog4OUpiFY+kBmXferOvg2ikqs6ynVk2U2vC/jIjix3y8zIOr69gKrLHPbeLBka7vP0Df2//oz+gj+93rU7wHXX5pMpc9eGZ7txIVBcB6LzVqfiNaeWfbnAv/jCq/iInkAPQfXhmzoFspR0cfmYvfZcc6/eW3+vPbtOLZtfR+c6tTdoyY7t8zKZ95mpeK2yJiPFoRXswzPV8RIjdFvHV/xVvVCnuJsw6ic9T8Zbwgmf2bTLPI3Ouxa8Zufeq8ubIcWjqin8XycBjXe/bqrTapdmyvCYbPcNDKNx5RdNSv8bqK9j2GuYD1UMdWorn3bnV3U5/h3OgVk3x1/xFV/xMlebh5UXC+54Zq3gweRfhnC4H5/CyfS0SpryCAe7PNAxNaB5HdvyHZuEV+vY3iACWaQP8SE97p54/pbw40kYGW5DY/oR/mrA8ilJ8IXvlxnjexUU+3/+i/61gs19Nk/zY6r7xoscXH0q/ehG8r7fiqtcp0ktdqEBeHx1X/TmR5aprVJB3KbYTSrHpSDL+YR1WVeNQi1DyZLOmWVURdytL1m58Zxjay49cHjgxrrWlktIq4s8u68yKEIg2ztmWKRj62g3tl3P40nqSK95dE1BTevNL8jFECaWUffbbXViClqu0blR8Xu/OsUEY3SRpWtNvWsykhUW51M4jWAqGSDYjU5ycLpWq0Lh2l1zumuPFwRK7NR2ozfGVX5SJlFHt0LZ47QpZEDBfLpOAX5LCCm/HS96Lagj8CM7OjA/Gs0wbQwLnHhg/OagW/pvXtCXoeZ0t8JB+Zls2P7bedbGqlLYf3b8riOxPszwNCPQ9Q/luUb7CpLwF6AgMIVvGPkbTXYexd/rNuJXJ7ogE5/qmxf5q4PbY+ijRjvNtbVulgYUwOh/dwltlBMNRd0dDzSJcjarUrmsc36BdAMHpfnNIFwgcx0o/3m1JLPOcoOSXTMrOMNJ7DKCrkFsQKs6yb3Ixv6fLt9/09/T+wIFN4hhzLv/+Hx9mcHeO0fnZo0AlDWPtSJH5mZ9ZtyVy07XDKitpJzdYKy7wU31yZ2ntrtGyNi6FrKg11jJpE1XZvOmC5zbsmdOYfthXhtgalUBOwZ8tyTUOAVXBaCu/OLZBuIKSD2yTx/28lgrDg4dYXlFcUVluoHg0p6M3WU86z++Jcccef02/uofdLvZiKcA5g0s69PVVS3jlEm0QQ7bQKbp7v3XTSoF7Qs0G1ioXXZP9qmZjwLv6hxjcS3X8X3XmlyMnpyJJ3vcDBiMUz1nTLBf9Vg3F+q9p2etSW5f8YbAhvFyBmA7tKbL7HdgDxclmHtJVmxeyNV4iw7fbwuaAfLd6wOtzUUfRwg/7n+74HPQ4M9d39M/uk+IHfY9ZqWtwZ/yZOe7jkQD+A381qHjlLjXzWbvf8/t9WzZ9b877esDnc15o5Pp1tF7zmyDHQ0MoelTldsdP1oXYzdQZskG2cSvcDZdVJ59atfRpVs4p3WWBflbmtv+LIttc9AF18db1g4LqnQMxUvNon7B+30YHWcn5sNIcOy8XX+yOxmz0Vt9EHoBLqh+6PfaO3pF5Y1kALmYnbc8hL1DF3JbfjEm9vYjcWpF7gue1m7U2UQVaCrVNRAM63zvItkAxiYUUKpB8P8mYZOiFGfHK90hRFX8t568mVbXVyu+37wsjPb83W7MwanpZj8EaA3AqBCWXgVANSClDVo12tYIx434V7jLEHXqMGA3Rnk63vV9F2F+MuztQ8E1epRnbjnx7TehRTvCTvm0ZJTT9JrD08wK+l3wr81YT5lYC30jUpeWjJux77toq+yfwMmOmwMp0l1ZEQUWYFlrhN4aol135wNuG7trA2rNslKewIFA1JSdR1lN6dmsBIhs5B6Nmpl6UjTNHFFIDSaI4F0AhK8LDGvMzF0zlU9zcY2g/jdqex228jVgyAAARJz7RrWvceEI6GP7U1mnD1wDb5XmaHJp0XGXdxuouoGb6/SW5vcextMsk/8Y+fGoHUM7brQzfvfrPgRrZF6lhuvinwUOVSUoQ678mkvPM2QzxsetAAG6OAbkhq7oBi6N9nNYjb8BUjzcINmdr479qTUjVdqS5fJwr1MHFh3YMAANLW9ArnxQh8X8FujWcaWX2M2nzTuAcXoVL7PV4xVBkDnjlpPsenYPp6sA/eqM0uG1qL9xmKO7E6/zZMIEYCorBc1PuqH3ec2+PAXs0LsOCUdfhrDZIXQ358UZgqTOp3vId21mr+MeBcLG0SzIzayWBsbFaewGh6WX5rdbttvMfzFgs2KewbvfySJ5ltRwXitI4Et8TKey0bvv7ikT3uVueERwFQB3/Y1X1ZLsletV1i7P6EvljZ1uIKIBZLhMcB2Pkil8/tRucA09KkvlyfJWdc/lPde9lRnVQ8MQqnbsYeDcfd//w+3Tp5IcO1YmUmYRb7Ta6spzA9wNoOHv0h92QEdz4loNmtLPnfvq2yfswV62f+hGTq/+IIvmdM7+eHQYd0HdBkv2arCr90Fn+OmXH/AZH8xvknuSD+WB2u9il2IZPFwaO44M4hW05ztWp6Bz5fbioAb/P3SntqCwE2RQXQC8JoOxl6gXBfVUprdryCCZrEb+Rbs4AxzSnSvCbnt1kc27eyPALYJAsBhaE7NrjbnWZxt7rCmXEHkQcWGwGvVkXBohuU4tYbkgVLuOapm6nzFEjfNtBQlV9ATnyWnrfS5Ir5KscXky/OWTRv3wR5VphYuANRsmgDCAVPro01Ug6HODBk8Kam2gWhDjBgfaRzyFN9xDxIpCw/MCNBSZnRVlVdf6DGO8RBnb2AgNWxLSRxvoG5pwNCc7jNX+m1MrIr2oIAcO6L+0AXCf/vP/5MLaGYaux1Nsr5WmVZk+GSavqxw7P23XIa/xu9dBa06UPsrOkZNrWCjgRq4LIq7z6X7k4M5Z9UF1wWsgpv25sl++v4aujnbp10xhzwWorc/hhHSzFtcpuJe94MiiAYe2hq3PE+d4yLpePeOZzfuuJE2fakABXmNQQUI+/M75FsSgk2TSdpx12Bcw1EBfgH9lhZ24c6i1KqL2BN/Wqeu9yY+1mOhQe9NlLPrmP/zIAaqdJ3dP8k9u8D+nkOMzPTddbSNItJWdaGmp+bvjK31aan1py/m+pbDmWkB6/zcoeh3YG9Dp99ec1ifdVPmBGawbRGf97nXJasF057m769KxdK6MIlqgk4BbaUPeG+ioM3udWvLXskl24eqnyha67BiBVEEFx3YDQo9cZEPW8JYnLZRv4TDBZbxefADrqBTg2BpDA5aycwXrZEfSg2Nw9fu1XXUerx4sfjA3AoUefbOmH5XRz6fVpta2dI0jTAhvmDf9rCPWyh5t3zevjl/fn6oFVqo+3e2cXZNTWx+B7qNfykt+v7q3wYNih+rMBvL0odiiOATdveORJ/rWaS6d2fjqlmIN9ml6YUssh8WWZFA+79UAhLHga0uAfvnY9GKIBhiM0e93HOhZOWu2n/908cTOaUDY/LIPLeOu7Wkw9Po85ucjcWo9sBdDiK5iDArHoAGS7nSL0RrVRRDM0PVLjND+mwHc43u2ptbAlXSunNmaqJ0vIrTPJkR9ujIo90Zw2YZ9lvq3I3GjBoSHAqXQ7QTIyd1vdjy13g5TMAzNagHEbQzYXRRf5n3NSXZ8FSLlJnsIRDSCB/g1A9EIjODCzhHB7E5/jfA0is9oVTFvvkRuRUB3Hl5pKaGsp3KdlSsSzsv4VcDW7TYCr4/mrueOx3Zdpb6N3lNK+N3/lHx5CV/veDvYMYTjrZY/DfSJHPexHytHofQZFtmYPv5hv3nI9b5zDIxPIEA0dH3Z+JT9kGVzXIfGHAJgT4EB/C6Kb0M1/SE7glvGsudAuya5aQldlTODZa4bPCuA6Kuy0khnlWsjtearJX01QOahAaYLRvuIpdKp4IduK5AomHT969S0781QyECW5jWunLo6TDZ6atS6yw/IYsFxAT/9vv7jPeMjB0pKOS82riDbNswhp3Z5VRa1PnrYfOcMr61/O9+O0mip7836tBwKcJWdWcO7O0bAb//bvVo/ZWfMSXXKBRFPAaDZnhuIaIlvr3E/77jRY7ILPJgbtmI6Q9BrEf8e13I3fFb50uduRMUO1aGujm1QpxVRnmgw3dbNH8vz+Av/Kkeug9wgJRlim8irsVQu2sZ/QLYNUxrsvs5dx+g/dLqOn9/JUTOE+BRo3dwvaNoNK8mkSiR2gRytkTXOENvrcR6j8/6zqyyntjp0c2rznWIxurn0rJPba5AbTvXu0Z2r2+rg08OtgmsioeWu5G993X9sWQPFa3i56/L9hhb4x+NEds+v/uqvfkdTtoo+6tzCb2vofvEV7MQ2dhmBpUSw1uZeUHDn3EfFkW/nwh8NSsMFxXxtlYfKKFvDduJ9WVUNxoJzix3RskG/Ov2cIEHOOa+y7TKN5NQjkujvOqdNANXBdP7VNfRN9aT/u9Hjaxlues143bfXu7a5jezXYdUHfbf7tZfz1kf66GMf+9h7X/qlX/rOb3kKktOZMvj7H/be/z/3cz/3GZihS2Ss0d85ZMp1Jf+sj76+RZNnlSmyir/2u7nA45UbtgjNzZ+ydfdwPn1Bvj50p9YNrZl8ucD7YMTvVVSiWRynMq5japBvWe0mqOBhzsYMwowkxtiEUtK7tgztrjvmWMQDyBnw4cw6h8O9vpvwllYwuBjogg6CNUFu/zl1gAalfdcgN6rnvUJThmoG7yq1Znl6foFAgVdLaNaA3jUO4BqAQCFQqtbTAYKMnP4oa5D1YnAqJKKrSm6tHQGSRVZtpEQhcy7anqKQAL+sPmG8IPQp6rjzxmfdyOQCwcvL+MG4ObI2N9g4/K9MxvpLjuOuY30Pg2r+ZZBFslvG1tJJn8mcLKNH5ug744Q2pU+Pq+HCR09t17OutMELNEOTKv7yeaPPlYUqV4CiRqi66ToR+lDZATIZomvAOXU1rvrYYEl5siVKlbn2p/PMWJsHEduCEue2iqIG1jjcG8AyroKv3vPSpgas89uyH0FKjgE+bNmrMQpKcdZ6D3PsN5HmOv02q2DM8bcyYwB/gUcgkkO7e+B/el8fAF7rhmqAy+MNgOABgbcBzfJ39VsDGA0K1cF6eszVlZE6EaXLfndv607LV+7Znaln7/oc+QLaytqVoavvb6tTCGT2MWq3hFnf9v1mu9Gy12u0v06W4Gp1BJkBlgbY5ti3jSZ3rbtsY69ZOahD274AYw207FoCkpVj17Ne0zMk3RfwgzdgEk6ZecPzaCegXl26a26+r6OlD+M7vK+EtzasPHAxWoMPrXbb91Ua7ZEtNljSBI3qcNjc7AZ+0bD8Zh8K2X5JAQ78DWbiS8GJ6vU6Y7vm1m0aO+dVIKi6jB2A8WpT4cH1D35oZrLZvR0/HcVej0ebra6D2Eel6GPpU759zRbXWW6G7jq8zUw+4fMbPK4uQvfqzWbmGqSDyavnOOoXbzQ5UPxRvYN36gCRx+qrp0SGMXQs1S9P9rsY/TrF97+LVdj4Yh58e4OoggqqEh1315vTdU9Y/xdj6+lV+oC/xqkV1EGryre1rmgjAQLz9Fm0Dbg0wdO5pA9q5/DK07zsvVU7H4lTa3A1wmUwAMWxAHNLGu71vDcrsXcGGVF3z20gst+m7EQFOdiOaWkXJStTJ2uwvlAcXdfVaITomLFZS/HERGjA0Nxd/DhzBeI3+lP6VFHVgb6ZgCqqnltDdxWV45qZbp8qnBgXQOpnz0mrsjWHZcpGgBnpAif9RW88o5SIIADLIksNMrjXjfQ0am/eCzbR5ZZeU4QbYx18iqn0vE5tlZax4D38CAzoz44ZP6OFHb1L95sprXOl73jIWNG51RUtw6lTW1p2HOh+AwH+63hbOmitu6j0zaBdp5Z8XAP3RGs0uE5Z56HXBCSMw2+NaNb5vNmh6i9KmANV56v8Yx76e+WvBqdOKqPuu/Ew8FfWb/XFE3gxvhvVJxs16tUvV54AbmW6N7qtb8BNAcLlo+vIGSNZkBlYu2sO6e5lAvBX1xUx9t2dukGNbubSx/+UDhwXMlIZtk5dUAPfmL/y380aDkywCTdYUXCLHwWMHcMObbweyWUsBQitJug8PNmenl95rlN+gzzmrXLdR1C4r0obc9wlSvqFRq/p8rZrx0p/zsnoMker7S4NamD16frtRwOeF9TSy3ZcFty98uTxJs0c6b9gH0ekugePWALRx2+Ub/F91zx3vSv7i4cE+0u/S4OOAc8aa2Vp9F7CoUHTtT5KB5+yM0+VYAIpcMHouevb2EnQxHUbkG3AGf/RQehMh9o1uuOyYddog34CNZbACT7UHggmVCc7H6+7TzN0dxfu8qS5LlaiQyQQ7hrd8gK91Gte+1idXBtFh5WHL+9f21Wnlszom3mp/eq1YEz30+86xhcT+O9ikTqpV+81gGFcN5Fxdcv9jW2+Nv3qzvJ0nfTO1/UNHDe+GH95Ri9bIKBbvHz9L/rs59+v9LvZY8k51arwpcQgnS6Y1EB5cRge4chaViFgS77Zcpu8ti+1JdepLT1uifNHslGUdx5/O9ldqhoxA0QK/BGmkQ3/2+H2r/yVv/JSPrXfp9RWdgyQiFjuHoueb3Mf11gkb31b6bBHMlCIQJkt/11D2p7i9jgHyn/36+ZBDNBaQWUfYVPGlpHURwzImItCYkrtRsvQ8zp0Bfl3HghHAUnLfa3BaiZNifHAgcwhALhr2ShGIKFgTJ/ci9IWJODUNYO2rKgS7bsL89YZ+E+Zw8a7eUdrAvmkvLuBBEV2HX+KYQ1wtQuyYwVsrgGtgq+Sck1lSMa1/8bfMjYXmCifBwRlbZVmOr7K3n3bB7zTZy/XKeumF90h+qnhO5HEHovv12cOx7JoP/IjP/ISiMLfwMBTKYm+3rIfc3Ud6ltBUMewrWuUq2eegKc5I8vui14FOM3skE/HCxaR7ZYBVmHrQ0FHx9wsbMueG1hpkAcgIw/oJJt6mzWPrZJB18pJy0D7P0fhZkw6pgaF8EpBWuWwDvw2U6OPV9o4/YDPV/2wTMtXfdVXvdstdvQxFoZ2nzlaBaAAgUogjmudyVYW7Xy7kwPuLaWr7u33ZgS1H/uxH3vhIRulFFyiR+WgQWK0VoJsE0S/s3GAu2DuBb/X7j7J+q6zcwEfAeBu5lTeoE8apd8c1tFi2+wO33XOLQusDq+Na/8auMFLu/fs1XDCT//0T3/GmGwIVLwCGOtjM8g9hqyTpwJYu1HbJbuldw2qtrS7NPPoKt+7mZP1iWtdt77/lSeaX3y/fqxPdRDZ8pYqTj/XNlf/0Cm1c3geeO33jftHf/RH/1/lx3N0Z7uLh3ZdjyG6fKicWhB3y4smJ3sB5BvbdukXsLIz7PqI9pVFvO9497MBnZ1hPaJMMJlNma7p/JQfaqu871jOuMC1RkcLWuOLOmOqHdlj9lsi51Of+tQLvS3LuG3ypYrNvenrOql41D05MA2ymvvrfNCteMT5/U3Qk+4TDDA/dvNFA/OurLY0LX82aFHerKwaQ/nAvRsobVClzi9947zql2JrjfMlwFqebv84enXmW3K/3zwelS1X3WH/GLysb3QyW/MP39/EUeBDHyQTKtcNstVpt55dK/6tPccH9Iu9JxpQGCb8uq/7uheerv6SSDTWp6odQaXPp/T4ZZ4+n4O7sF4GbY0xkBVqB00owjXyW6PUNQObQGuqRODV4CMwYIkZRGZHRCAHAHGvEZwCvLXnLdmkQHfOSj6BdhmKggeOqf5QUmrTCTaD5hqit4RrxwygzZGaMWgr+Cg4LkBvJupGpNDggiIKqYxNKABeJa7GKRpdB8vcY9gLlgp4q0g2z/q6422l71mVosCb2/0n4tPnGHZszRZRIqKhaNf7A6+qAjTKZ8d7fJDIrvsUKHJqboTylr40YteHYqOxufJoEn3p3JYf6gxRjCL0/iezFDOlhI6cUNfVagQbgEBHY1Q2LkgigIQnNs4Fp4AYhp5sXD7vb804N9La/+s8PEX0CiivzIiGa116UODeiKiNvlqBgB7m8IKfzlXnsOtgXYfD1Uxo19T32AaRmpF0ndLptUwtQ6jPQDsHpIGirk0H3NDHXHR+qwvpuOp+WciuRxM4szuqQEPBwHjKGto6SQXHeKdZbw6+YKwINZuAfmyBjQd3n4Ff6+M4JgJ0ddLRufNdnh5QX/8HTK0nrl288lBno4ALL3I6y782ObSfxbUNrtfAToNUBYT0fuWiwPEp4o6mqk92jek0mIFzZSz6YgOg/eae+tdgXAFXZWE8OV2zZxZPb7/m1BZ3tPpF39ynVTA3i2Ncs0+zYzbDavlp9ZH143i+dgq/ysK5F/5CI8Df3AuE00nuIevoUTWcNQHhnT/+E9C0aVYdnYL865ibr+KCXa/Z47UFNGVumkFEYzSsnoMDG0jf/wtUyFZtPAPKW39Yp3NNgMK5+GPXqE7Zby35hhs5kOhVOWq2qXbd3O0eo/l4wv4Y9JB77T7d1VhWlt7YNaZvmhBCn/VhZd7bh6KY+snekR86sPq+wdzav9r34hXBq16j/H0zo9Uzlc/eh52R7Or/tdPVW8Xr+oAX4b2WtZKZBqhqQ/F3AzuVc/JJD9XBb+t4n3QrTFCfBQ3QkAO7Jqk2nvfYLFUEsHurB6qr/8H7eq5JM3RupSG7wXdBF3JI1ser+mS9fqssPPbOZqd4iK82u4lvWqZ/aeIYtOG49znPH4lTS+goo2YDrsMK6DSDRVDrXKwBJhwmOyU27c4gYV6ZH9H3GlMGteWeoiBlwDohdUA7zkajRO7uo1aAnEZ50YZxBLowC9DnfNm4MfGMwZOAVBgrMFf4K5h+q8Onf4xV1+7stwlRo5DNpuz31uE36qLdrG0FvhnmPn9O29yat64/E2nGQ6KKftPPOpTuI7JH+RXYCHB0DZZr7hygp5n5AjtyYU7KB+Sg/fMuUIJ3mu1rkKJl3Zeene8av2Z/8R1a9dW17tdhrMxfp4j82tiE0QeoreEj/wvWdA2+zMJ1soDZa1gKuO/40YryfgIczcBdA9w56fuT0b+OAV6r0UcbNKWrrpFrIMR9XPsei1alQXni0qm/93pXFh0nut+MLJ1XnmhW896vhrr34pDTfUBEN15hABlaMtoMoDWFKlHofv1rIKc8URDeV3lNoE+fOzf73S6krebQZCHJ5uW5Orxr02Mby3SsZ7DX8X7ixSuP5Eh2Gf3Mn51TyaWIfe3atRkNRjZAR3/VppU37+ues2YeYQZzT7fWvrl+g3jeBShvcGht4xpumB4XAH+ap16/uhL/6kPxSfm58isg5CULin51jjcXAoB0fIGn4HI39KFbdr8bQCpd9BdtZWUEhtkk92O/Z/dkfGt/rt3HY0ru9amVMrKbbcMy0/0LQF1cUr1xHaIGUDnqMtq7z55JvT4t4dBA+MYCkBt75b8y3KVBbD2eNA9AOJlhK5spLC/Bj6OtzL05sXTDq3ua9B7lNf1BDxtK3k112m6gir5F6wZF8dC1G3eumhSgx+9cXpm8NvJiVXp3tDDWyt7FuFcf9lrFml2nDWe4f7FZ8dta9V3tabO8N5nRvlysoL/FmbWZF7+b626KuuDceMjj5BqAmky5rgAHX+nXHVu2/tsbBo84dm3X4qiyIXyxVbvSJeNpj5VkV2D4JeKqowTPJp93k9Y7z086of2vTvpI1tQiBAUmSoX5RRJFvRF4v7c+upGybvkvUytbaoetvVzXDq6AyQhrE569K/W00RAl1dKWGg5KikLcxN3d4vw3JV3AgyG7sUUBF0ZpROaWazDIojJK7RxvwikXhubJ2BqLe2MSjhPBa3Z8NG7k1FpSmxxR1hMu91tfza/SKMcBsWhzAdR19gQj7DbtQdFKbCZg6GeXVRHvZmPQnCIyzmu0bxnn5vSHf/iH39HcNRuF3djt7E0ZV6F0Xiq0AHiNEDrIGF2noONpRK0Z9Sp+vKTSYa3r9Vo+RY7aryqi1wx1jR3ZHdBYeZnM7I61szLQvVfXX+9cG6q0kZ2uSatzeA0juhfA6LsAGtoaR88HPq9z1pIwMt5A0I4x3mamavgbgFC2XPBRMFja14nteK9xL7Am0/pWsN5yr3uN6heOVo2w42qM17qmU1/R0pgr89bG11aY25am7j70M8N9g0b0LSMr8Imn2JlmK8hLeaABEIaZzN9gnrW7srn+Q2MZ6/IkmnRjl9J74xwwXxklu9UAcEufjR0dqqM8mqTlcXZNBeC7GeCuDcw0yNMm2FqnkEwVlJTvG3wA0l23AcarF8cXDb40SAfEkRcZ/OpytFIFMGC118DXBZhK/a6cXyeteqeAvgFs58qoyO7Z9AbfKJ/zfHtZjjV847m516klu+jWKjW2dveQldTnVuJ0/skOeo5GwxpwUnVKdQXcgG+V8XK0+7SHq1uWUfypn/qpd9ma2hZ8RiaKFfGnjel2zz3dYm33/F/+l//lvb/wF/7Ci13ZMR6D8rVf+7XvHr2FJ8rLliKMXpuTrvejBz0mrDvK7v7DJn1muTkiqy2xl5hYVnV4hr4criFjsmcwQGWyukoV12i8a65/ozkscuW3/Fz82UoSn5+cyRvsKV50PJoWkxpX5ZjjXvtdHChL3fWXHKPyCl18bWVtu2uWz9sv1zAm8lXc3FcDUz1GZd9Tg68qt9dJvk5cMQye3z03xz/5kz/57gkA5lNZ8vjWdVaxYEf13/B+AGjXWIBvvDyH9uu//uvfncvOmr9v/uZvfmcvdv/ddzy817d+67e+jGfX+eQnP/my5GfB2N1/forE0/AzB3ovgdUv+7Ive7fRawPlfCK6uAHa4uhW435ka2qloBvxlUUbk24tyxSGx660DAIYbjRl/0/xXeDMaHs0CNAlyq90DLGUhypxIjyYsJGc/T9lQTlRXgXs3Q2Pst73KRZMrWSF0QWigDeAtuBcFOQGAjARQE4Qdy9OdoW0xnmtpVl1ogn5rmu868voylnaMaKde01xdvc1pTSM5ubWs8b2m4dEb1y77u/8nb/zXRnOjKcSiQleH02z/zDvlL9nAu97H+8zwUC/H//xH/+MyClQo2ShpT7oLvtTpeN646MBzK0J0mQ3Kao1jwSoQgS8+my8lkRT1M4zt81iMmrGQMALwvzP+NZ5X9t3a248t7lOL54nPy2tq9HSCixHH4qoxnfz/eVf/uUvaxtbQqcP5nj/tfKiNBVt1PQXXVv6Wpm4QN+98UXXfneXSCAUbUVyOR4F4O57N2QRqRyvyrTREaKb1rSZJ/3fy+61jBl+wrsFhuWbOrEXANGBnCtjrzNXnXFp3ke1NbjBiNPfuw5gOAA50Kq0UZkXB7albLs+nivgnj6wqcX+23EqfVqSvOOsLSoQsTQFKKgOZrwFIZohNG7yh8/oCQ470IUW5SmVRYKuT7Suw6IpxV251l52RbfGrLSvEy1A0CBUs6EAT6sm+l9lvY6ZACs7xpbh4Wai60w2A2XfipbxXeAHoLQVYAsMk3Ml8QXD5mfyhy7s6QDcdPh9FE7pTj4qY9WhcExL3eEQ89qsKnDYte/wiYoVGUT2gu5RmTX+Qfe9OGVrcBabYA5tVIYHulnSBf6czjX8vDHq/+4vQWAemv2iI1u2Wrm2jtAct239+K7xDd/wDe/mEV273KuBoOrqVhQNb+Cf9Xe6Z1hs2HHv68fHP/7xd87UnNzZpjmWK0lfX1UVTe42buPsI/TIXG3g2oIlxa34fcdbxzx6ztY1+LB+b235+sOB64ZfrtcsunFKMHgE5Q/+4A++/H7XLrddfmz2De6AVa581tloUoSjyd7Q9WvWgDZY6HpNXNX2NOAlSGJzwCZ86nw1GUFem7Ax5qt3WkElYE5Pdu1uHf06XK2yvPytwdB8CfgSxr9l+fAZHFnZ8bi28erXfM3XvPgEkgLs6PTKMDZn8Q/+wT/4ovu2h8nXfd3XvfDarv8TP/ETL32fHHzbt33bu8Te+HX/TwamY777u7/7nW7Z9XdfQZnv+I7veOnXsPzWcw+LL8BkB+W97zd7H43fh43Y8QVu+2zw2uo+4hQdBZnxFN65lTcfmlOLaTmKdVZ1ZoNvJF79d5VFFahSGECV4DSa1/LNGgYgsNFyIP5ujS8KahzdJflGlVumvIkD5AAVRry7/dWhLcC+ZUwd48sE5DlUouEVnjpYt7+NqDYChlaNpDeaL3LHQIomK9kG8gpm0ZTAqnlHb1kCkc1mkru7dDOI/t93j4JpaaOMKKMrkkWBuU4jar6XhpdG6EOwZzCmPO7xzZ7hV/ODn8uHazc7XgPXPjRqBzQBKHUmKMrrzLR/5sS4XOsaloLb0qxy6XszXe1veRt4LpDCb8ayOZ2Cdj30aRbkaZ6agbxzyWEzvmuo3edGh4EE5WGc2e4mST7QshUY1S2TlQGY8a3nlgJ53QDs8igHuDxiZ133dN/yDbnveBvcqEHtXF5DX0AvQwu8qaZpBrq01t/9vjn1fEdrtqsXgJNmWwukfGfI/Nao+BpdX34giw22GA/eLDBsAKdVNA28yJYCnuuLQB+erZ1TbnkjyNX/ju3+A/jTxhocKUBVma7+38zFk7xodS6M9+oxv7n+1W8yf3i4OgDvleadk2uH7tyjublkh5rVcI+LA/Sx+kEbH05/LzjJgbsONF7reKsDm9XXR8e6FvoUmJWnS/cGHAD0BlzwdX+HS9xb0GH3AP453eU37+aZ/K51J9Q6vqVJ9xCpQ0u+HFe6o4X5e+LP8RHHc0C7paac5OqA2jnzQN+2smggujIzB1fACpaZfhrQRuMFPWSYBLxUqdm0Tf+qOwVJZNlViFhis/4P7HcOZaemP/qZjoSr0Mwc1KGju9xvtsZmQWT4qXX+KjfX/uCx8soaZ6vVdjezW8e7lS3kmhwUo13Zra0qhuAM4gk63RguRnC+a1mDSa97b6ILbar/i8lLX3qscn5pf/2a6gO/tTqotvBWewkSjt/GO7M/Nr7d/K+Pkj+W41gTvuDJ13zN17wkC3ZNdJyTPMeWzho/rrrBxly7T8cAt40+u+berV0XrMO35mYZ3DV8biyqSdCjWAZtm9Axp+XjYoSPZKOotZaB2RCJ4uwzj6zVbKkUwu3V8p0yIYVHqDGtKJEIOQbx6BBEaRSZ4WxkHzipMXaOyJsM2hipGTULtjfOKWoM2ehYI98m030qlCKw17moIlDSBGBWoHq9Oj0FLJQUmnI2ADgMa60H5xIYazSY4cD4yhlqNCdsjQwzyE+g1pyvD5zpZsrMSR/f5LFMjD36tkzkyVmqEvF5Y9hcd3fV26roOj/KsruuoNFOY2zARF9aaqXvXXyvXIyDywAU9PteOXSPlt8WhN7AEmXieuXDrkmqIa3BbFT3Zo9qRKdUVQbcbJlWoNXxXaNbY1xjWgdKdcjlN06tHVI390rw0Ux1RfvfQEvHOcBmwyK7XtYJ67zXCdDoFXLXDV+6Zrx8XKBvXvSLzkE3BqGBsbbRwh4BzZw0iNjSVc7q3m2epL8AMJ2rLw2oFChcoFTnfQ1vFTh3h27XQCf2Rv8867YgubLZsdYBtNHZzrWpSysRZNla/VM+a1aTg6g0urzoGnSlzWFaKmiMzXaYl/LC09wWQJlPslOeQUtBYUCy60Ov3WI3amP1t6CRPS1YwZfmoqC7TlVBZp38yrs2/T2nZU6tbO7NjjTbiIZ1rBsMubR1rTof3aDr6r46gs6bfalTzWEtbtlLefjOr4Nb+9Xg5wWJpSfasZW1i9Xn6FvAXefqgkznVTZvgMW4Nzef+MQn3vv2b//2l2qsOgmtqGn5bjOMSrgrq9O5qsvoZ+dyavffgHznccBbxnQ2wLrX6fGdN6e3WUlysGtMD+y+guDWIm8M2/xNP6cTf8fv+B0v15punQNhfgQBa9PQu/a27yo71s/1t0v4rhN15eMGmCqntRPVBbC6UuAG7+rUsj10RvkKb12M3YoEuHEv9rZ9Vy0ybN8ETIPqZOKW1uPnBoYr12ylypAGb4u/4afbqu87h23FocZeG1gM1eollTb7vCzn+Gw8OL4dn6mMaKn+fhtfjN+/9Eu/9F0Gl26x9GHzOrmYXdtx8PTkstihz09mA2E38tbn0u7zxz72sXf6aUGebuxampR3dy9YR5k9elfn0LcfiVPrubHKf24JE+XMWb3lS53MdXpO0665gRdY7lxO1wR5xxPqbkPNwV15Whc+A1gV2H1eapxSaZYJo5m0m+r24G/RuQnaDI5SAdGURhsJunEw5taE7jvD2LLBaxzGyNYJX6ek4Aaj3KzCNXKMRTcu8OgAc9dF40ofCKDSvL0a9VMauDb6MO7KYR3vHMLmWsp5ZHz1eYbBPXbOBHC/e5zFdXgqRDeSd53p3fP7v//7X8o0nhRVFdyutXkQeZoCYYzGH/hKtJhQAkSNRBYE1Kmt48C4TAm1D5Wx23ptDmrLMm+0q7tDuv6OUZrFALVUZvO8sU+WGA3Hlh+M1cZffQSXpQl2QMX31wEE6K8ibCZ65yhXEUCRcaxjtHfySu5swqDslUz18UMMfLNewNbmXZagyxRKO8DPGHsf91B+BQStj4u4OqaRaHQwt4J+7ksfdz4FF/2mbewcJkDKtZxjXhkzMrYX3Te6WuPeyKt7tWrAOCyroIvxb6PyxiQbPlnYNc2ZPtITfZxJHWB82OCk4MUNmjQjZj3fGlr3MQyAUJ1G9N//A8se96IBYHPCLNPZGiZBPbqvttWSDGt/0Vjp9461dOSWHq9PLQu+TvDNmrThzd3bMSp7BDXJBRvWYBzaACR4wNIhupT+wcvApNdsJtstiM1G7Vqj37KBMuLNRmrkACCu/WyAqIG7YogGlM0LnIEH6W57MDQDtN+7OVFlufbhBrmNZTT3SCmPFkSP4pgGq/e/jbOUxTqmS3eUAprn2tvrNOP70dIuy869/EMn/7f/7X/7bk0qHsCfdBv+IpsNFADkaEznyCJND1n6tOtMLqbbB7R3zI615nZ6Yq/hKhsvzZ4JrOP7ten3bdazay6ztfNGz503uXX+/hsu2XV2jznPmyfOmidKWCJX3uT89REsdA2nekv65ihc2/rUXNv8mVM2jC3vPOAxjiD9RwZcq5uBuVazbAJKsE13yMcz5GPzw7aOl1VEjVfNjSeg0OHKVzmtcOkNxgjy77pKcWUNlf3LNkvQlMfpBnawQb2nRt+zj8UylR9+0HWWizO6KWGTQtaVkwt6cXRagH58aG+Yb/iGb3i35rY4s77A5HE85ZFZ/W/Xnk/1l/7SX3q5//hYxcd+37U2t+Rkn3e/9WfX8khKTyew2RsbZs4kM7tEFHa9OPkpuPChbRRVhxGIbyR1/6mD73bdBLYgmFPb9TxKmGUXOLB7TWlMgZh0hFYudaP/ZbD1Txlrjbu+7Z7Wbak5H7H7kG6Mi9mVJnNay0Adt+8UB/pQ1Ji+hlYbw06Zrh8Y+kaqOh5jqlGsc68vzQjV2HXTB9dHv6s4CkBFwhoR1F99rAHnfFfgCLz+URh1ODnjgiVo12xM++4eVeTKfQc6J9gioG1PUVD8I+vI2PZB1uaO8fdIg5s9uMqTgjBf7cOTgmxEudmNtUYdm5lyvZ7TCDzDZBxoiE8EL2xwU8e/2UV9d31jp9Qb2Lj6hVIDthhh8lUeRgsygQcLGAUL0NjarB2/+WMMVESscXZaoWBOjaeZkFvCt8aZ7YYMnVv9a39bbm4eRJTRukCZQ1B5rQFuWd/lN+PBI80U1Qld4zB1vXZ1h8CC+bQWEACrY3DLsisX5uVWrohcF3zRoy3/lz3ZPQq0zWWzaTIrBYe9NqcAfTsfxtaAENtojKPjwJnHDWnGKmuj4mOZIwEV8oEvWvJaYNr7Xh1fJ6l6pJHwZhzxa8dTHYSfaucKKhtAQDfvNwDbbKbsS3m7gUg87Bj9IPOzj4JS6NsMZnm9oFJ/jLk6tg5+9UuDIxd0FUu4F57dy94KginVf836N3hGx+83O+bijwYPyKK5xuP61MACXVo+F5QQ3CpdjM08ogWHFl2e7KVrTwa2vnbHzNEUjNr/vZ9zWhG2z4JmaMkJ2Eu1XPda2bmTvW1sg8d3Xfs/VNfvdxlfiQN8u34PnAsCDB/azHSv3X/O7GzhnIThtG0G5VFddEgDZ97Rdu93iYXg2e5v054+oaLyeVsDBK5pQ7Zisyaa6McGkIsPyE/5oU5ts7j6dXFol2ywAcXYbK7srGez3n1Fuva5FWylS4OkzfI3ONfASYPMrlesW73wFLy5lXRaMVTtdoNVDVKoSuzmbarARr8mESSs9t/WewsC/Mk/+SdfdOKus/1n1oZ5vuVbvuWdj7Rz99+wb3dAlykejRes/6Ef+qF3ATX21f4F7EcDknwdz6StTsNfV1esPxKa5d/6JbWzH9nuxyL6mESHCugKxgDmtTpE3ZDCdQywkVIDmwJbWYcd5eq0yijWWAF9VYT6bOMa/dhE7WWimop/Yup9FinvfausgJ86fDW4wDK6XNC5tpKqMaUoTY3M/XxBLWGqQTKWbhjU8VXpdMwEvmthmgmtM9OyiwumnxwTzEzIq0hEymqIG8UqXzZifR3mGisRown/Ik82JbntOskcOZl6j2now+7bFw4cY2LuXe9WElTJMhgFqWuu0WBJg0YcXjTd6zrsdWZb+gbgGkeBMeO1Y0TK8ViPqZNQJxUAE81de6K5391PtLlgz7h9b1DsGtbrEAOVgjqegewxIIxiDT3er+I21ircApjyXp2la+gAMuvZu0EanVgZrrFtVuXKPR1YR6U6oPxRJ9ZGgBfIOLfVENUfAk37X6bbtevUAtfmsw6aY4zX3LteA0Cc2jolgp2yy1qd765LbFCx+rLgr7akVUlX51bf7xibxtyKCvTwLGp6ad93z4HoZt7XCvzRCA0dV9DU+boZndqQlgLSAVdv3s83eIr2zbBWl7fVyfK5azkFNdzz6qfLG5t/wKwA/ene1ZF1WAuwa09usIJD3yw0enZsDXLViVXGDrzqk3l8LZiAts2g0TPddIjTW/0j8LXPnLGC+PIHupdGNzBce9jnYVZWLq/TE9t0Zuduc8HrTOsrPelezqWvb3Bqv82ZtCEPR3J9mz4fb6jsG2aUrR5WbPC+maGuJaXL6EnLS/DA+jVHVim0nWcbgCudq4crP5zaNZuAec6woPsNHnyQU1sc0MARGrrOxcc341+ntrrhyc7Ym6IYrkFVGdImmzQBU5UblgTRkdUfrnn7WN7obvuuBZ80kNvgFJtOB1UPFAN+rk7t1ZU3KVS9VzsoYMWO2WfG2m7n46v9P75Wtfo3/+bffLcJ7hzXHSNbLVnocUGe/dw1uuPjHbPrDBuvSgAeYuO7lPPyxY6TlUXHysDGyI7CE30ijTmuHi8ffuhOrYmfkI0IgOcEmSEn/NYZdgt4mS7gicFXrkwBrd57Gdlv+qZv+oyNFJR/IoxM2Yi4SZB9KXC6hHe/CvGOW4RNdGxRipWkipBRqpvI9dM9CY1xyxqLtFH6FJpyXgqqkenubNkJHGNurNvZz2MlGr1gSOsMUhrdpbob3jAeTwCcUXNdWfgL8N0HuChjtyzQPFzAVaNJMRg/JbgmOFJnX5aFILxj5mzA0CDBrotGHKtFcv/0n/7Tn7GLZNtVRpv3lTLttz7jb+eNLyk2GRjXxOvjkRlgfdzxjboDuHVun7JIdTTqzOAxPF5wRdkwZMqdGNOujWgWqrubiqCO9kq4Gq3VZ4YFL5ofCtHunjd4gx8oPjqjmc5mea5RFblds6akwRx9BDBtJmITjmVrKddmProDbnkdIK5+ATr7mAZOqT5UFxVITbeMv+yKiQ6yp3UgC/Ib2KgjYD5b+nlpzsDNkKG3ckJGtxUB5kHEnC7edzKKb9yz2a2CbOMQtEK/Bin22eMwGtlm/JvB2/ndwOIGZe7rAhpjLWCpju3GSf2Pg6XyyLFK2wEYzdyyNbvfbI+dKj0erXagtOh6Nrp1x8sIy1wL4lYubr9Lo+vE4tU6izsOMK1DXT37FNii0/G+ShnZffPVLIRA4+VxPLvPwyHLxgF0zYjd5lzXqjOLF57sL6cD0Kpzgu9rR/H9xrhg9LCRpRp1ZMjpdcIbNKn+NIb7/3iLQ/CUCZkuZH/tpNtKnF2ruyyje6+hj13WQF9yKF5ru9b4m3O2ZRXDdi0FpTfx7N5b+VFebyn92nTX+jAdsQSAta9Kd/HSxjwQP7u/Cq3NC51nLfbGOOe3S1LM266xa89BWIKB7denbvBzq9/IyK1Aga9UCMJYo+2CrRwLc9BW+9dWnWUOBTMEVNgnclkdWGx5dUVtTjGvxyBJLDWb6noqTch5KzE4opZ6uK4Nkvzm3Kc9WmQ3Ny/LyJMHfbGvARxeRxod0fJmbxsYxv9to4UlIq51g574gO7usQJgglJPesYeEejILu6+nhAzvvvN7+9zse/bIVnJ97KudK4lmyoN1n/PnVW1OBma7qgMTd5tOvWN3/iN7/2v/+v/+oKdbqKAf1bbhw7rt8rY6iu8AGM06Hrp/aE6tRSPHYAJCsEzCGCFA9HHoQDaNoiiTEzWCPbVX/3VL4pwoPNu9d1oOUa0U5fWqPL669pKvQgyInLECNiywTNElPwmesePgTh5SgJaZtj1vl0rK7vT9Vz6aRzqygluBWaK2IZV1ordcV5Hp8aZMmvmryC0irHRZlEUCspYek7BTQGKdgXdb81IukYjeAWrzVwZW0u7jONmhfpfywkZoT6f7zZGxJhHB48WWgRxjwngsFgPAQDhUWVam0MgkfJtNJPzrI81SAwUvuicN2pa58o8CA5UVgSP8CqlxZA4T6kbZSXiab3GLalq38x355/z3oxrm+/mrfNVQ135KA3oEYAIcCbrzZI6R7mN47pmiIK2llOmpNHHglP9BnLu/z537f/N1DZodyO+AI+ASIMb1QXVlQIW5gfNNI8Uma51Pl5vNNm10FcfHMNw3SyKbJLfzVODi+a966sb9GsZ8ZMO8b0BLdfERwBnyzVvxN04n3Rq5dnc+Z/MCBSxGao3biOru9/0yPTDAAQ7N+A929PMYenSPtrRn0wDgP1cx/BWgzSYZj7M2QUVddw6z+a/ZX79vzqancXjO6c7Qwtw6EsDY/Qw4LXj7FwrQFen/OqXAkrzW91bepe39Fn/0ejpHs107X1YZhjGcyMro13XZ466/wHeanDUa3NrfWqDZbBJ6b3v9kDZ/OCV8vjNkpAd13EPa+ts1MlZq169Ot28cUT2WBoB0ToqnQP32pjY/gb62Ei8KDMn4IEvZa8Fk2Ge2a+ulYf1dh90df+Ws9f5biCkv7cyqAFMOtN3wUb42PGThzm0c7znbD/ZSu0J7Hdei6vwa/+jB8vLdbhg+ep++hB+HzbdyyON6Gs8w27CPebQfgrky1g83kwiovsekEO6mr4V8BOwVu2y3+lhx+uPzZA4110PSwbMZ/FYA33VW4KJT4ExNCu/m+9mjLsRFlnWJ/iyyzjNzYJE04OzJz/3/t42qn4maw064o8mFzxH2jmSNvYwcs/hoPlmO2b4l4/HvhpHg5TGTzegLfmqDmrwx3no/YTRP7RMbQVDJ0ogmwP4r5kiiqSAS7a2BN5rzA0sYShlB43+7D8GDdEuEVoaylCvNZpSB9CaCBH11azvfPXmmB34a/ljHQTC1MfflLl6bmnctmuJ5InW3FaDUsPc+zGejUAVLJqDm/l9yghV8NzbXHLk73UrzM3wcR5qpKo42scaCeOqEr4RsM5pI5F73xxPQLdmRYZFc138xLFeVGvnjjfrYLUMrI8vokgbSLjZHvflYHcOe3+/lf8v2O/ceO8Omn12JqdWwKcAlpLvWhTHKaO7fMcI9bcaTIa/fb68Xp6h3CqjndfOM551n5aKdofD6i2GAf8B+A2Q4BuOEcNSwF5aN1BjnBxZslEl3ZIjmxJ1U7nqUTxZHVa+KD95mdfSuXoRfzQLThbNqTlwPb+VVztv+lm63kx+5VKfGMIatmanr6NZQ73meLxT59qGeC3dvH2/uqpAvXJx5Y0eJB+CAl0jd+lv7q3RW4beZoOyHgUJzquj1wAvfjA2vzcz1MokNGrVTTOR5q80qCzU2cG/ze47rs7fDX6Wn42vVQ3oWz2An0cfAXOOTG3oU6sNasCwwTjOe2VEv+ogPIG1O+a9e6a1ZxA7hz6tjhCANJY6m9UzO55TWz25/8lLA0nmXEZTqzNq7p+wUHUPkM2xrR7+ILoD72tz1lo+yvEuuEcrPNv5qHNRvhagND9knLNQe7M5oefWFxvQcaLpwQYJip3Qro5tx1B91bHc4AGe7qOh1gdPY/AkkY67/PbUGgDWlysDxU8NBHY85efip72axOlyQdeu7m81ZXXyaI5eAv+7xrC/jaMEEtxX9SfeaSJK0FwQuvwvU+965KcBiKsXtPLknVONHrp7NPScS3+/FwvDHg0Y336stVphx5Jtcvnp9/tnDtCFLVZpRQ49hmf0GP1XmvykW629XT8XyKAvbyDt0ufiLjhN/+HG8vqTXf5InFqCIuJF4XcNXp2qtTH9CL3WB8zLqLQc1zOTlJvJ6hYolAHqODJ8jfbuGEK3aw00FBiWiN2co1FPpdWcg0ahTZhH32BITgMQYoMVDjza7FgbVAGMlymssXCMnRMpoRoh9K/BKsPdtWXu1cACcFYQ5x41Rn3sA8BLCBxzI1+EsWAIICIw13gwpM7rtVuSU4NSmpQGdZgX3fpdv+t3vaz1mWOr2kA/G0ne9ynanbPvi36VrpR3193ixbZFXqdAlKpYn8PAdQzGb6dQ0cm+GnnDT5SEz5SS+VQdQaYcr+yE8mT4yT0ZWDSw68gLWGpQaywFtJSW1QHSqrzwTUtM996AWc+vM239SXmrzhE5bhatNC9NGW/ZpAIXxrFjbna5cux+ZLMABRgbTwBUbXUk0Ias9Zqlv2whHXSdB02JsjkXWbdDIX3jus364kElXg1QMaZ1avs/+qAne9KMm3PqVNMjdQzZgpZ9N2BQp6sg5jqmxlPQ4nv1YflNcPZmamVQyUHBCVC4Pi0jM72zUq7plJ2zAOqWvyx7ZMMNPDVbydmlg/Gxea+8sJG1WQ2YtG/sXR2pBgzwWJ0PckAW6oA0iHpB3caBNyr/NzDEXuNBj0ca6JfZxjcckjovT82YlchV59wqjPYLXzWj2AALPmPbVLnQQ10GUIwxOd3LMghlnaUXHWVnd9fp5juy3xvbdHf1Lfukb9UHnAP2S99KrwJ++6DMDjQD+NSqc9jx8bzx7PdWaCi/rG6svvB7sYi1fXCpZS7o0iCZccgS+r/JlvJCn+hQu1SdLDDUQEODi+5N7grk6xiiz37bOkabUdZJvnS+AZi1BlkbUCy/dm7qsJLn60BtbOaJnuEEDRMtKFc9SrZtclTnih7ytIt9Hgb2eL3hrOm+ncfGoZeEgTnxqEfZfP3v5q3d/GjXMU/Kx4s1a0dL1+LsJlw0uHf9KS4vjrjYvuMgm7B3n+dM1tGVbmkgYWOczI93/t7765A7z/t/ZfOzJ+aD/vG/R9lZYjm7NH2kigB/zj6tPyuN77KHOyY8VBvLju58c/m0h8vmpUsbqq8+dKd2Cslub5zOrqdcE9Vcp4HB/WftFmHg4G5gI+DOGaPJkq61FGcDtpMsYjEQM3IYX2kNZhDV5SAoZ2DEC9LKiASRsDAYBUCUmM1zGrW3BovirgOgPp1B+aBI85hM1A4tuplLo2eEwBgKTi6A0B99RgP9woyNsKxVsDvvvX8j85Sr1ghagSvBoYxcxz2dt+beQBTHss7CNQL6ueOsv97amD/6R//oy9ra/+F/+B/ePavWDrDuu7ldSfrmYPf0mCFGSXlqFb7+topg73UqKRlrbhv1MlaBnBvdb9WCl3vbop3x7w6CgkP63vlsposDI/gBMEwHFLA3ellHoUB4rUCYYmvDx42wTx8AecZbPqoBr0LlkBfYeZkHQIgh3NiBRLQgV92IBvDqplGX58yFvokUG7e5LfjVT/yO9vi9ATHz5/4NkjFW1nP2eg3Gre2adHTlzvqaBrvQvBFV1yaLpYXfm8Xw8j8Hg+wC/w1sXUBBxsxvx8Wp2TGMLZ3SQBW67HdllPfVOa1dICsNGqFVd2IW3CtPr7VUcXZrEW/BgwVQ18c5tWTWc4TpZrbM/g2ATbMgAg2y39bpOrby2MwTkA/AulZLhPs7gGTM5e8r/+RXyTE7eWlaPW+u8df0817WTgNxzqODn9rTTto3mOt+gmO3/3DBdbTwMb0DWKO54G8xSp+0ADyOH8pzzkcjDlzlXSVC9duTzBXr7GU9N2cBv11MVJlWcmqnVXz3uTS8N9rMadlYdg02cv9zLt2T3DZjC2+6XkupnVu9wSmib9hRdK4j28oHdrOOT3Vcr1eeNc+vBc7a2GBZxNF1mezxNN3pXubVXGgX7HN2uufBxXoNzna9LV7ueBq0cj8OUMt+zbG1yHin5dv4pTK4hn/Z5C4TgYtvIqZLuAR56dvumyDAafxkw1zXJjwFdZogwkd3HjeH4+XxdeXF+fyN8nb1mra+CHDcYGh5m1PKJqwUuHsN/KPoNZtv7fN9hF9lA9bZOGZ/xoMCDfT5jvP4SrJY++Oe9ad2v+7d0hLr0h2d+Gl1/gU4PhKn1qZNmGOtGY8qDJ/XAAWKgoEQdaSc12oMb5ldwQYlvEFvsigHBCGoUxQA2yZJ9Nvutc0elCFNTNe51niLDBNgwuH8/n7pgAHR5ApJm8ysh1D3/vpbhqoweW/fK7gtaXJN359emLkgskCpirtZo64xrGFt9qaZhCeHx3uj45SVz7e/jZJa/7x1ThyN0XSVAb/9t//2l8DKlMNao4qcOQvcBWzw/q47nipAF+y4tK0RVVqk5NSGGe5Lgd0yNeO8xrMZGhsHOIdCwNM9t85g6UYmKVZ9owOesgk1AJ3DAg0K/hpjIMGjL8wdpVydcx1J5yvhm2E1D9MT3dCo9ytftXSwYJvDxZGt0b/BltfATKOqpUcdrjq0orL4oDLV6CbZ6jXplLuWutl0DR+ZG2Ovw4PuvuOP6+ityVo8yWGd+bYazAsQ63CVrg0YXN4yxgbNWlVBBl7TcTWy1WPltR7baiIAao1TewMJ+iujxMHbcdbzcR4WfFO1VOevTjOacJbX9IdOalDA/ets62cz7QXz5N1x7nXLEyuLpVflwv2uPJQnrzOC59n56XC07/KO0viJ14z5lro2GNs5b4YAT9ShKn+zFbdCpOc0+NEqs86rbPkFin0vrcv75u5m081Py0LZhNqlS7vK9n7vo+uqw9Hgqd25EQxpEM01urNwndm7S3kdhAben2wK/duKlVZQ+U2CpkEEMlR7U34vPzWgzRHjPBXEV4cB+/sNHlmA4/JjaVn889QaPOHAXr3VV699+abjk5jAa94t7XBvjmjxr/+cd+UO3zeQVMzZ6ihzXb5ir6++r84vL8KN5tf9Lh8VL197fml+19U+0bu2rPq0zbxdJ7j82r6tT3imc//LecoHZ5dT20woOtCxu5bERZcv6a8x1tZfbFX+5Xgbj/Ma1HySW3PXsX4kTq2t0BmStRtZL4BrRExmBTEt4L4Tew1LndoOGrge4bfT5CIIJrAKfI6sSPWiYCuVmIDu+EXGOSwIXvAHJCMyoTJxJofjW6eNUFNsNc5KTtCoDsJtFMbG6D4UArpRMIzjVcSOcR8BhUZpCMXtQ5VfGbe7Wq+p6wecaqxbdtqMNLo2e1uhLQAzHgLjuGYHapAcgw8I/splCPtKKb75m7/5vW/91m996f9//V//1y/nzUm1Fqrlq2hBwdvwjGDvXfaoDjcg4/yWYrR0z7pNckAJkqkC5AZc9uojqpSUouONhPmNM1G+KJBtsIVzPzre4EUNkN/KezUmsnFXSeHbberRCOXoweg3Ut5WZ300Ud7I4AJ6La0qSN17ywRdp6B2n7urt3ltidctU0UX89dsQkHwzSLKntwAD0DG4Fznl96xXKHy2sxFr8douVevJRjk/L46PjzUbGDBgDHf66zVOOKPri9v4KE64EakCxi0qzsuyLjVMY0cP42x/Sk4LQjBo7KbAMDl11UhCK7JwMp6TKfYAXX2qsDbvO8YtmH9oDfWqpNUlZCPVrTUsW2QhcyZJzy5+7SE8AYja0/KA3fPizrodZ47vypa8NZoARivRFGQd9cWZLy8fGnefhfYXb3e+b4A91aF1DYKVnBq6QZzh1caTK6sOY9eV6LHPtIVLW1uJk3FRwN0xVMNJLNXTRzs2AagyYfxeqrFBaNPuKV0rzzCDWxdl9dMZ832ygKaKwFl98IHzcA1MGC8xVxKiWHHYkSVNH0WLB7GU+5de93AWbFH50xfYKs6tDbtWpu87yUTdnWYz/iOTri07+aAgrnXCaxea1Dw2hL4SWWlgAu7g2drT0sL+H6fGxAmq9URDcige3WQMbcayTse0p8GHu5YG5DuRm2dm8p7bXeTcm3736aLbLpWPKoPN4DUOYQVWyVafYoe5fnpwuK4X3gfw9A3O14ShY6vD9f9cGxyePGda6Ffl488YYryKz2Lv8haq4mKU2GJYvwPSvz9Uzm1A7QcO+sKZTNMrNKgdZgxNxErtRpRlBmPGCPgriUj0HKd3QuBXb+KCQM0e4RxlOVMUYgoNUq0e1i8fhXW+ldD/hS17TO3HNOSQIxXh5fDYUIpioLhG9lX6rF1n3vE0frGUTZO95OBNp4qPQ5oFa97tqzaBgltBAuzMb5ViADw5kIpdp3LKlTKRV/r9BDgG01vhLzMTsgK3Fp6s/fRfCUVu99XfdVXvThOG+NP/dRPvTw+anywjK22B8Rb40jpjS4efbJ5toZh/LUyZgauIEkwRX+U0tYQkxV0wrcNBjWbX2NLHmocfH6Kuhb4l0cLfMyDqDlestlDDafHWhWguU772qjveGMK9hpjvPcH/sAfeHn8w47ZdcpLzbpW1gvC9urz7SxnAOaaaW3JEsOtLzbUms7yv41fChibae36ffeiI9FboGTndeOFKm5z3uizUrUF6ehE5xVMTEeP13/gB37gpRxqPKs65bY6yXhbf/EiZ2UG22YTxkt/0EEqF4CEAkfjoFsAVvyy+911cPro+MpYAQe9Wj4sD1ZH1zjeQELvfwMaDRoK7Hb38DX8Y/mJ9Vt1OM2V3bk9/qdOpWqS8ef0fterepeFIVMFOnVUrS9v+Wb19nXS9xunFm3wwtp4tnqlWXCyA8SieT8XD5jDBoxhAEBNENiaNY8TszNngd/O4xDdoBnd0J06bc4FO1wbSX9Vlwl20Tfmk67mtDWLvUZn1XlUleIxhAL9cI1yY33rujc7+FafeDX7ZGzNTpFTfG3pCxlDKxiObRU4NV91bsllW4Md+NITJEaD2eFVI+DFzakkA1kiI+aDnuEEkX/3rq2sreXY1ikx15YgNLBm/mzgh843WFA9aq6U0/qvWTTOw/hbX/b76GDJSCsAa4NLA7J2G8fKvMK15LQB7Abv0Mqc0U91dlUNNnhQfNagqQCGvsK6xSB1GOvE9lFfTbQU0zYACZ/gnd6nel+SiT9QW90KiuJxOogD5vPl8x23neu7nhe+MFdo3eon/xk7RxvObEBekAC/czTJRAOsv3TWq5JdslZZdX92vjS7mLEVQQ0GtHIIP5ljsrqXaht0/WzO6vq6Pt39aT7UjaI4nDVUVR4XkNVZE63ZcaJvCOfZkY1KF7QyVO7DMWypFeaqMmhpiA0C9rL7mnExNhjrRmubTSTY1uuKohKKTlQjP4QKozBgFEGZXPPctQnMwM8+b31n1ys7V/8YrwpPS0Ku8SkArKLT5zpGNdiOKYD1Ak5ct0bAHFxlVcerkXXXqOOk31WyjTgDG3stI7tNmkaTCdWytePjOU9zWgYiG0jYdyDfeAEGzs9AxebjzgMFtO+CPZ3bW0rbcxvdbMS3ES1OEIDq2gWNVURtN2LZYxv5fTofDfabaN4qHdy31/BdM2cMYw2pNsdrwYHtSL2sjGfe4Scbw/TaeKj8wkBxKjyIvHNInmt0GG/yx+liMNZaxlaQW6PTzAf9Rx4aEAJE65A3Il/gRZ4B/Ja3tS/7fU7teHqO/fq0c/Z5OqOPAzNm+tR3oJYecI1mr/Fbg117Z1R7HBloEOLqmqf7Vh7Nb8uebiBl93kqZ7o6gy6s0RU5BgIdV9uDvl2TLmtVMDx+A8Jlne/aKCCsTrQAGDtjh3WbKa5N7zQQgO8aZOh4q/MbYK2Tjr8qC66PzuWzZkGaeWmwsY6yIEDtevvZEk9Ap+AR2LwlqwWp1QE+fxBYwm8td6weq/PdYGsDIL1HA7sNmlWHNjDQ44xBwE6QBBh0viAY4N6NFZuZLY+1Eu46eubAnNRur5EJm3QVQJefjf2DaH1f7t0sLN3ZjGl5rXarYLuB5ItHa4vo3jUYybHdn6TBMwGHlpQba6tryjMF/caD5/FzK20Exq1FbTDNPLY1qPD0f3deJ1vVybfElx6By/2Hnxq4Kr80iF7HvQmR6gv0oE9hZVk89+puynVca2/67vrm6cpe7UGdZ/Oxhj7NfnaM18e5+NlY1+ipzeeVxxusvYEBGFqfXPditOp040H7X3ifrmx6+1sdV+zUIEETh1e/yh6XFvXNSosG6c0TndSlJaXPpYnxNlD1kTi1NToI1KhKlRAF1uMw1JSZDKvo8Bw2A7mOJgIU4DUSgfic5/8fe3/W+++W1vW+E2RrdpOtCSAqFF0VRSsgAiJRMQiScETiE9B44jPwOei5B55ooh6QaDQmJkYQoqLSFCIgUlRhFUWPHSQrOy7Xstn5/PZ8/fPm8v7NguWce2dnMZJvvt3djHGNq/lczRi3c7sgHXAAGm6kxLVbvlkF3Ii3jFCVncekYCjMWeetCgIwKtioglybc7WMyyL2A/tTgHuuZBU4RQWIY6gCkpvqLwNeJdqMqUg6MNmSJ31t9qXAzLwVyBYMMZgXhDST8JrBrLKhECpEFaTtJijjtjmb4yRCO2dXmZ7mwdN1aru5wXh3x9vAqzRFA0qA4NeoA3kFFlV2+BrtC35FIoHzjrN9cK3SS+s5pXlpeZWMca1xai+QaD9qhFzfnN/+rs1B/uAHP/iSOf+Jn/iJl98KSCYH430OZwGYexuniLxdRQtMrmHsmAGVtV1fXwEOfOr4ZmoKovRJq8woiWaAG/U2N/SOazcCKyMAhHauZLimJ6wtluXC4zIg7sWRKGhsNrTZkG5U1LLr3p+TXwDr1YBT5bX6Am/c+a1O0NeCruqRylVp2jHXAccrzVg51vgaTKW3ZRQa8HSdnaMc9Dq16KofgDX52j3ntKzZtGP9nIzUnpmHuxSk8nXBZm3ljfgXqHbObsVVdUYzIlfPlyf0r2CoOhA/XF5nt8a7xl5gd51q/bhgv3qwAaYG4fvqOKrHLjB2XAE2GpUudQ4aKKYfukziOv577f/pQPrDhnW9bsd4g43VUw1ud/46hwJo+mseavvvXN927Z5Xg352W+XcyFTtOBUK1RPG1wB25apOe20qh5bcNSlDjzYgwQFspqz81wqb6pZu+NekRZ2OZgRH42ETzkSd2ifscwMul+7u0UCle117Q9arq+mJZnfrmDr3yekrXzmudqo2zfICzv3FQNUJ1UOtnGtQp5tCXqe94zVfDfLBucZUm/XEV09O7egz/piemu6ezjbuO6aLyzrPdK0gBNoLPOlPq5T6+l/ftk/V7Z0TYyDDxTIdn/F2z46e0+DedWj1d8f00XTOeXJSrw0xjw02vCdOrczQJoxBRUBRJwoboEeg1nCLis8hmGOwgS87xjiXwAw0IIcgNbT7X8nUHNdt+rPvHJM5hTMCAwhlNGnwKj3OjkhoHWygkTM+8EiYdv05SACkdT4UFaVWxrEDYiNkt3lm1w//8A+/KL+N733ve9+bSP/6w0HnkAKidsFtRlyfamzLrGjaTEqjnI1Q1nA6D8Bsa2bJ/RvFe3LsnuhhLP1c57tgevO3+d0c/eN//I9f6Dge2zO4vviLv/jlGqOhLcrb5wUNZGoZun4eb20ONh+b8zb3l12sMmzJeBXPNcBKLZq9qrOEPtfgFFR2Xm5zbgMupbHWvvXa1qnj2yr6Ks6ehyZKJa8zt8ea/NE/+kffgLXy6mi/+VuJluuSY1HabiKhX8q86lTsfI4AmcSfjZQq9xsfTE+Nl7r7eo99mocaX4/YuCWCd44KokVFG7X26ro0gbQdMxpZ2jGa2MV7/Vilx4IC9NKa8vHpYPsLuG/BLvp5jIcMQJ3rGk3nMYqOWasjjE/IK+PaJRz0v7F3x8XycjO75UmBOLS9IEBWfzy99z7T1nXIKpAKhAPGrVwZjZRqWyPbNVY3SGtM2u4jyr/52bx4jqMsRkGCxzt4nEQdCXoLcCR/9K3+AwwNBtexKj26P4B79xrmRUWE3wTBOJGthOju/5YVtdqLQ1EgC8CRVfS/wbo2IFCGkJzRg7XP9M91GF2nQb/azurxBr2addRqL7tejc431/tdSW5L2ltt02wteXFNfW7J8E02kNHapGZOZW2txyuNjPeJ7kB7g0Xox5a2v5Od8bnKnDoCdJl+1p7efggAO6469TXnRfDAPKlsqSNScN+gQZ1htlWAq/Z/45s8j4azZ9bSmrvaWWOunXiy9232nvA4nR3rqR8CBw3Sr7GBkgwSO5x4zjqa1aFqgAE/+78bJxkHvreXwA2m2TCz2LA8js/JAR3C1jqmiapiELTj/BmTpWH6UR5pAu0pUyuwuaVt3/Zt3/bSr7/21/7aG5+n5eQ34Gps+tXsK7tFBvC7QDfe5kP09V8ThO1yA/NXzN/AXgMd1dX0UvVa16DfvWfwqiWepemVQfc1t/S9senbe+LUNvLaZ5QCiJ5jCRhUAAwSiJog23hqRJFV6XPanEPQMGYzLo3+7vOEef2z9mQNs9ulds04nNt1FISqwgDgeH4YMCZrxYkCDNDLuV7dQbA7ZGLutY6fIVn2cPcc+JojNceLQyqDUiWwsVi/Qrm0dI0S0k+Cw0D4zboIxxPKlgFSHAW2xlKHAd0xcu9fZQ7AEARzRhi0G71xzR2/+Z/D+q//9b9+A8w2lvHeeHSKZ/yw+RRV01oK35f+rW8r57Q51sqQRdHR0LwLAhTQoCPw2AjVjdIqkcHrnasCmCdQpd1ggb40GlhaFnCjv3NHm/G59T91Onrf26e+jL9z+SVf8iUvPE4Jl6e0RUFlHruZELnVD6WbjcK23AufMMIdc3m72VprqC8gcl7L8vcqCO+D3ms4qh8ueC7gqjG8EXMypkRzAZs5QuPpBfd2nmdQ3gjp+jV60mk1ZsZfutDzMjiCCc0eOtb9CtSAqZa24Y9Ll+qEAoIa3177RtNrLG2cQp/UQQU8rcktcDMO4IvO9h0gMJ5m0kdbwYzrcLMl+tSsxWxgq10WqNjL+Mhs+ZYtqvPEqWyAzPPSBVbIN/rWdhV8VJ8XZDVbg7Zo2FLN0v7uhDn+qUw7ZjRBP7pakKDOdYE9PipvVZ661IeM7h54FS3wfnWIz8bd+1ZPlh7VvdVj1YXNegpUcYro1/KY8+tIAbo+wwH66vowm8DQzeZ0PjXBvJ0zvVKd07l9arU75IDuvUGzzUPLcqeTht+sI2YH8foNZjeLWztrrpshAtBdo0DcPDVIcgMR1y61oSXc1b1XBEf3+wLi1tHWkbtzWj5qkOi1IAL9LLlS/VWHrvxHZm7CoEGT3hOvXH4hzzfoa9440QIsro1HBbG0zsFe9pNpwPhm1y+mLQ3pxDqq9FUrT2cH5cIAAQAASURBVJ1/9aM5v8EEOniJjm3sNxzzrd/6rW997/d+74sewzeXx+jnjkn15+SheqLnFc+U12Q1/0te1WtwXp1K/ej4GgRq4Lmy1lcTCq7VzezKM+Wd6tRiD0GAlqf/Ztpv2qllAFoL30lnlDcgEdgqin3e73MuRG+BAQ5iy2oQddcxaJnDAkHPTRsxux6SU7b/bPKyZhG2a1MiFbZrmHZsN4PZ790c6mZEy5A1+hjRef5/MhAmeQbF/RcQmOAAzgSyhrzZckx1BV57Elb9MWeNxBf4978CydKsDl3pc8da5dhsMIVQwasj1VYHYTwxx7aRSZFS0UeBlRkXjQN8AxJ1ypSZjP6bj5ah1+iKJF4DWiPcjHPB+hNgewJMT8at/HR5rP25Y+v1KL8+P9DmKsqlyhO91wVH7S+QUQdr65wHYOxiXuDoOnaMJYN10Mv7QO/NOtRRoV/olIKsGkf6ZucDV72ecTYDSz9VB7lmd8F2/fal/a08NXhUuhoTWq0aYXM0Azta9n7NSqyN3jufUwtUNNMHFBijcdu1s0Gu8hUd1yAkEFL+d04d0vLSkyPaiL95oivqvKNTdVdLAQVnBSPLAy1JZVzZvc57M2R0+v67ZeblzQIcTjc9bbNFx9qgzY7W7CCQUf6jk6uzzb+gS+cfPW7AoPqmgSC60XgbTC5t8S3dp49oySaYY3S92SCgm3MjUwlz1H7qs2s+ObXVOWTOhjF9lnSdWt/Lc9dxrnxd+9d+ObY6iz0wbw0WN3t37UFl9Dq1nd/KQXdFrZ6pU0E2Xatrx0d/wS+6qDJ/27WDlf3KQDNvssJ2sH9ygnvfzsu1aeZHttLnyqH70yEF10/BhMpv7XDtHj7vBkMqMAQJFnCcfm4S59Jf8Lc4pMc+NbrLIyvrmBlL94EoDqFb0LC6Ah9Vlov90KVrfRto7saTO/YuBarcVTa80wMN+F0ZKI0qh+Uz42iQA42ecPENkr7Wdh/L1maD90SNH/3RH/11QcGrk9zX+RujKtFd5+I883D75DpP5e7/LXJuLu5cVm+t1cZcPGSOXtOz5KdLKvTjKZtcDEf/sQldG/yeObWIqwyPItr3dX7OZCPNcxSugBr01jnKqBF0z1HapCotaIlwmVwkXJq6az48x46xZ5jniMhaWAup1EvGAQBl5Bp9Bea6yF10UVSKULV0aOcqt27kopGpJ6OAide3baIzB233XEntnNyNZzQvA1/Dtv/XHKOPVZA9Xl84h43kXicICKizQMlV2K7yfAIBpd81GhVi12igo1Fr6xbn0I5OSiunJDa3+w2f7RpTRGszMBo+KK0qfHuNRxeV2xrQlTTvOydXHzc2yvturFZDetvliSejSY5q6OuMXlo/KewbuGjggQFYv1U87H4bYx+w3rl0fbJ+dQcayvh17J/5mZ/5Qisbok1Wxt+AjRJLMrf5Gm8rMaNzOKB0RRX8eAL4nxy3xLw8dw1hM5015h0DR9bcXcew4NPcFFgwDoCQiC25sBarc7g+jJ83J6Pf+ulRJ9/xHd/xEmzZZmgba4M9pfmuMXpPb1tz22wtx6RGraVbu6Y1kxz7OkecRbJgzD4X1NyouHdOZ0t+17rpSZ1KWVfjoP8AyzrmgOWurTqDbnOenbDtdtwAq8DFms3NWi7q2bOVu5Y230om5Y/md/eSTeweFF2ms/+UAuO7gnPXAyzxdx9pI4OHl82/8TfjZ0zs6nWKXZsDLFtMhtB299l/41mySS5kaWGM3rP8Ql+3msS8tXE0GsA2T7sWRwp/NftwndqnrCkAiKb6W2er+lHrRmoNsqG/e7zWjKVBC7RpeTn5KTg3Zw0gCmIao/X5+7yKgX1vFrn9eOpbExF40Tu8gvd/9+/+3W9kbFlMQQzy3IqcGxzCTw0MojVMANNVtpqR7GOUYMcbLHVcs17o79jxUjPcEjbTseP16eWPfOQjb6678xu4q80wLq/y/mt8sf5ZAuEc6/zdq4mp2hk4gLzgbXrn3ufi1i5FUU1FnmoTlWXvP5Uq9Jd+kn/2gm0iT092e9+72dHFPuRCYLw4VUPj8sgN2N0xj9aemLHPw+tf8zVf89aHP/zhl1dlFR50XTy6/+0Bwpajm03k6pDqd2Xqf8vYeuxNSvUa13nGW3Q+utqPw/cbuGdHhiM8ErNVEioV7Pdh3JxkTrAxqHJotv1dd2oxFKdWBK5RRgOQdueU7niRI0JOMawpvfL8MobRRIxYtrGXBqfAKGJgREYBCDIBwMTuCyDXibmAFaO3hKTrCYCtRnxMOqZZ646ZjMU7bbhQoWHkB0BXsmI914AoAy/jDEBSHgXnjYa5rmOv8bzAud/1r7XuT4JWAWG8gL+CgJ7TUhLGR6SnWZy2RnhktSccP/mTP/kSDR2t5nwqAd33lW/vvJUQj6c2vzv2jVA87CZp7F7jn2UXv/ALv/BlEy/ZyxpCyqbRzDp3dSTvmBrZr1NROvd7Bf8pwudzgQDacQicW6e2MsiZx3tTUgxXgx4NYF3wt/eu79GUFf74j//4i9FvZFkga9fccQtSTBa6vrK7o8qocgIb7W2QrUGeBiw6V8bOGb98cKP75q4y0WsWuHbJA3rrk3s1ktzgjrHt83TDBz7wgTcZFRUvf+SP/JG3fvqnf/qt7/7u7365z4zNgjuaR8cskMDQAOMN5uk7+jO+lcsGORrsMJ4G/gQ1SouCoTq1xiqDw56sdbMq/avza953jAxr1xgNNHj8kz7oM71ekFAHAD+Zp/1nD4P1S8ClZbiVV9mKXYMt9DiI0rVBXNU6gFl1jaonYEQQD2+i53iAc9lMJzrrm3P36o7bypbLs8qyG+iRdWMD9M1uty3jBmCmT9AXQGSb50wBjNXNQBM72d+vTl27yw/M4a4rUMA5bcCuerVLH2Qb9KNB/QL5J/D/mv11Pfev7r82QH8bNGvf4Bj4Cm1amlgdaL5glPHmfh8/b06mmwvG61w+2bJLp/J9nRjjnE0ej8wOCDTj867Zq22FQ+BG8ln9vb6bo9LAvgOu08xS15+vNbDH+dxvKiuu7qD3JpvTDZO9jcm+LAB9G14wt2xb56i26gnsF6eSTwmaBr/QihOrFVe7J7zaoG2d7Pa/y696bOdEoLgBhDqW+K87GldmLr/pL9xoPsgHOpkf2OGOufZ657ie+1dmtGHA/TdMgi92jWVrd2ydWtdqUE5QTRAKXwoM6hdaqGSr3aqd+R1vP+u6jvuOq3/w9IgcvF7dKcDocX4NTBW/4EsOPpmqTe5rfbMZYvmB3a4N17f3LFMLABOSfa6XzgjclHNBuDKYKqBmWylcRt29K1AlgEnjDFFGjexegF8w1Ygpg1sn9m4UUoBTsFkaFfj22LuFec8rY7WvnPBGaxr9m7Ls3DTa22s3clVjJgpaoXN8s6nXCb2lZ/pfp7aKgsLzvU5B50dksGOqAixwuY4Pozegvug/II4WaCgDKfrHMLn/jUreudl1JpSjfcHDnbsn+anD9CRj1ymsDJSvyjOXf56M3r3nBdvadZjbALX1b8Z6m7CVN/BReeU6i40Mty87dpu5KQ8v4NEfTqtSOPKJFwAeMt+5udmW1/jvNQVaMFFn4Ck40cBGaV9d9JozXcB2X828TP7n0C5oMwd1tFPBssDDHJv9D0xdYzygajM1OwCXd5otqgGlL26Zb2lTh0AQVOagmalWWJS38SHj3HK+Ar9ma+tcl1acWucbq8wc3UGPsVH0/N2Bsfq1AMUeCQw7h+zqNvQ09xyo8kGzB+aiUe1mYG/ADxDWz+pf1xTUacVIndLX7ABbWHm7gQ2gH71kE5pt6jrlaxdquyo7BbTX4btyfPWWViDrXqosBFuubeOQ1UEr7Xuc8wTezceV8WYrr46u8/Kkm+pou1b10NXlzcxxFro/QDOVa2TAeGbnbDxkPp/aOwFPtqCBps6F81UFTXfJEHuUUTOjtXOuc4NwF+f1ec9+F2xDt5aDX3xW3FF+8720JguytWstoX/iz+q+Opv4rXJxA+aX1j0HjhWQ8l0ArDaquqK2qjx8HcuLU659RbMGIOtEXv4oXavfb6Kh/FZHWrWWa9aeXHuqv53f6pcnPH7nbvtYCPKvMnBBi9F62GiVfMvazjY3mFb9SV9UX45vWvlSXVcHv/0pD/+OtzPcXYZ1A8dtHTtaCuRb/lG8wmb7bq66Ez89cR1a+sV9XQsNPGKrY3rPy49FdfddedCINZDL4ybULfVCSA6Q/wFUUZEaeYoIoQhko0gM+O47ZpCNUB7bx2e4TiONQBqB2jiMQbRQ9KROdz8rwauBMCHN5lr7i0mrNJ+EaE0UX3a52XARRcKs5LvZy86be6GNfshk7nott6zx4JQTEsZ+5zNABTpVJhqGrSBWeVbRdQ7v7ztHpMe5nNf18aMf/eib7Gsj60rT97Lj6sa+0iftNSGqsbMBkMdEcTTuuU8Oy422XiOJJymiC1ivU3v7V8euxukqZAa8CsY1rlPsnTIdDyxqv2x1Aw73Ovf+ayL1F7jOKdi8rXmO9N3AwbhWNj4DIsvjevd+nKI6T3VijM05VfhPYLMKnEwVyBcwXd7W/47nAmI0binhLX/aa8Gs8fe3fMu3vBjN0etf/st/+aaEeJkOwZpFjP/RP/pHL3SQrVlblcLuvXkcDaebNp8N6jBO9Kw5Vaan39UxfR4unYw2QKpMLT1VQ+rcHTOg4MHx17nf3Fb315F1PprWQZ3e3DXHP8YiQHuDj81gmj9Zi268x6kls338iuPKv9WNyiLxO11SfsKb+Nxa0NpN87Xv9Gx3fiZjrXIqT+JhfWj1g/4oG6vO1Xq98RpdISpPbtgIPLffbOJY+ujT+rL/W95OFgqU95vKsSewj5ev7QHGbDAn81wAWDDeMu/aph7fzezwRHVKg/DVBXSYsTWgXF1RDNQKlOp0dGwmiA1oZr+OIRnungnTIQPo3VysQZUGvm5DM30tNqmtwptA8SpPfuRHfuRNGe3u71z6g2y7Dlx5A0c2KOpGRQ284OXipTun5voGtMiO/qCz6pIFDNfspK/EujKJTsUXtctop//oSAc/8blkk2e145fKxo67jwhrML2B52K9YmU66cmprZ1DM6/yc58TjC9cp3TR58oBmakMlKfJ0VPwrjx5zyvGuo7ldWr/+B//4y80/p7v+Z6XsvJd7yu+4ite+PT973//W3/yT/7Jt/7qX/2rb2i4MbILte92E95nz5mv099KU3N/E1efmgRNS6dr/1T5FFMVH9oLYu/0Nix1g0X6VjwMg7Nf9rGBP/hb7i1YK3sODzQw8Z5uFPVy0tuAS8R7wspgmIh9tzgfYw48legIZEOTEWH/WU82RYbIu6c1pQVII+S20h4z7X4YpY4YoR6I89sADSAzBb8XsL0+eAbpjK5JmoJqZJ4SXdt/y4qYHJPNQcDINvuoE6A9TWAVy4wuR5sw7H1ZGeuLGRDAjLDXqFZB1IB1LVX/b/+6pkxUmiCa07U6ZRRCI8mNdlPY7qvP6vBbotmSxTpdnJXx2EouVwqy/ilrsdHAF33RF73QxVpwgnijQ6/xf5WbZyvPUMk+OI7yocgAuSqFKqLXIrc34tk5bLTfcXcMdZZvQ+ML8i5f1gFxnh0clcgwBubF/N8+cY7uBjrW1M9R630aJOk6t322BnIyKqjSR3Phw1tlgSdbmtfo5lPf9b8GtXNdJ6cg9Ol8c19H7NKoASgBNS+luKPN537u574JyIz3OTR/4k/8ibf+yT/5Jy/yM57/gR/4gZe5Gq006xank9BwumV6shmBgjc6xhhlQFtZs3O7gznaT0fuHBthKPmso4Pn15RzWn+F1gUlF4jejGEdU2BzYxWcEzypXm95WoMNjUYXCAHI1uXasRgArFNrTgsi+uglmWPBMr/JtOw/+rrrb/Gz/j5t5LXzZ+fInworjlyDAuObHVtHe8cqlXbPu2zBuKpXaivZ4zridS4dx8lVbVD9Rg/cLJPyYXRvw2eWzTQAByTWWdpxpUcDPWhs3unW2gfnsUt10vG4PgKcTQaUf6/OcC/96Xg86q9llt3saccp/ysv4m86CsiefCwQvLJgNp/stOTxyca05HRzvuvvqQ1AMxqaf4GaXWsZLsuCPv7xj7+ROTysVXfiPzTrxmMN3FRPXHtXWt/AvLlulgzOVU0icTFbBmNOFwzL7vzx2PR1eRitykedl47z2pQ+Lsz/7FsdNvNm53p0KFa9WK0BWjKxMQowCEw1oIKPBBMaiKwtqf6k1xooMZYb1GmGtdiGLjQfxlucxZa2amdNX92nVRq998bXx49pC8Sb4x/7sR97sXMLDqvkW1B5jyucj7L9V+qsmpvO8/jE4+UEoXf9NvpD5h8//+cscYQLr96A+evPCdwWZ3cJlEBes7PVaQ328wsFs4dLOLZoOtpbIkPv4ze+ksB1cf677tTW8TFAaWmE7vNoCdAF5Y2yAtaYfaBKZtIjVyifKQnKv8rUJI2YY84plCoMAMV6HgCBMhrx1wBe6X8T7bt1EIw053zHMBqN6K2VNo3sX7D/WjSi0RDZ2tGhNMXIjZoBKhgV42mUQQ2jCOwtbcCIAJ+5I/xl8AJPY6xy6EYNVWB1GLwY5jqxfd3I7HhlDv5Kj+uorI1uUwxblyazN0Gz+P0p4vnJGv6X8apiaLtO7I3Q3mxencynaG6jiD2nQK0Gsq0Gs8c9ZRDJGfkzLk7I6H1LZLx6jYKlp3uvCRoxRJRZadix6Q8lqxpk/1lbZU4bALJsomVNeLu7F1+DdvtQRw/9er0bpW6Q4Y6/c1SnrOCW7Nm0B1hSySKzNkA18LFMxwyroNCA1HRrnQmBmRlejtKuT6d33mq86P4LBNrXRu2b0aHP6VDOb52Q6huAvNHzOpvoXjvj+uZA5s07J7mZA4CnjmGDjM3Q9BzjMnYbhgDUV7b1sWX6rUwCsNhZdJChshlVQcladxPVH7JZwNpnH5ae3URo/98178YpA4sGsgvseK9ZW2R91+7PSRdslIGlW3p9uqFBwSfbcp2TpyBeeUf/HMtWeMEBzew6tk5rHfnyy9Uf5RE6lT5q9RW6oOUNSl6Hg84wB+zQzczciie2Eza4c23sAjTN/sBV1fWvtTpP9kOorFeXli677pxpDvFejikGvZjj0uk6rzAIXoDXyk+lwcWZlbdev4Ewz9rd/3N0BKg4gB5N1Y1wrh25/Httxe335XE0xtu1IX1WOd1yx97ANLpWvxc74unyZJ1/Y7rVOD7TXcUYl+bkrkFGsllnqw5v+QGf1PYUP5berQAotiGv16lVoUofDp/P0f3yL//yN07nSpTZ79lh9rWOJBxTbCxY2r0AYF/XQKu9ftt5LFR1cOe39qtOvTkTjGVH0OUGoKvXaq/5Vfb34B+5HzmuzTI+z7YVJPbYq3fVqcUoAFGjZjZlIYgGYAfaJ/BG2TbyVuAxYEARbGD7PmW4TC0GR9jdZ87vnBkMZw0XoGKN3q6/42QwFwXcf92lWf9kRJSUWOxvof1+330xjEgWY1SmMfZGCq9hotSucbFRg/WhxtSStV2HYHnWn/6gF2asAX5a4/zCFAdUYNquoWOAKigYvHN9m92m9ctxsgZrGLoZM1mZgm0AzPq+KYs5tIuGAVDNfrgH0Lbj9r8oq/ZLv/RLv65M03jQjsDLLu6/zc94aQCg0XlgomCFcWk5u4hp6Ui5ASmOpbyvMrmOlLkr+L+OJWVTANcM/F74Hg85duOdIwos7zpAqfInYLFGaWO39kT7mZ/5mZeXANPO2f/dDApNjZGyJw9rNuS4fEuWd5zHpDTKvd/tYF3QdUGqhjavAeke3/WidWorJ+VLm0SUV1SO7LXj7AhrMzTAcWt3ds4A4XTmxjje3Hd00HbNjZd87b/tOrrvNi3avejV8lgj3ubBPOGDVlasNSA2PTVZIaMtg2vJeUEoebq61HygYx3sfZfZLvBcH2ZXZEnZLrzd8kvy9HS/NVlNANE8NniruZ8lN2tKoc21He3XBGs3DhuA7Df6yTnNMiqxlo2jOwV1W+1CTloS2QAyIEN+qwtkYswfGcMH5rZ0WB9K5y5DUEFDHvGe4Li+bQ5kexsQqN4iV2gMb0wWxuM7xs7p+Mkzm1UH0D/AXh0OevLKcwO++yxoQ6fvWuiJt8lXP3McCka7w669IPAmfbDPrtFsbTd2pCvQ09Kp0g2Y1kc4afoGr1aW8Flpjv9UXBnDMjeeDc2eu4bgx5o1+HvNVsOBDYRVHm9FhMxv5VLgrjq7+gUv0SO1XcYjk8QGkzd0H39J7sAcdlnfHI1udnUmmwA9/q5+qfMMA1bfleb41TPIZc7MZ6s+OGHNlNbZ7PXxON42rm4+dne0V36Plg0kPwWmb+CfPNV5a6aWPenc7z7r0+aj88wujQ/3+3i4DnPtVANZ5AX9PXKwNJ9MuDbb/X3f931vKpIEh1QnzUYb68WELUHGF/iKLGyseLFBfUm1Twt+N46OiVNcTFhe068GR5vZxgPoagzsEmy4Odg7u9AEVavlzKmA6Y6ZDbRBFR1m/j9p+++/gfaDP/iDG/VvvX7r9Vuv33r91uu3Xr/1+q3X/1+8/spf+Sv/P+/D/9lev0Xz36L5/xlev0Xzt/6//pov+snabyhTu1K2tW1IYs2GZyN+9Vd/9Vtf9mVf9rK20DqilhSJqLUcohnD/tZo7FMJhsiAdsutbpTpKctySyz7ahMhvX3o2p5G8ruhT1PyIhDdedO5IrKinst6Lcq3Z/j+9b/+11+O+wt/4S+89b73ve8lQiQKsyiG3QhlZ0VwGuFraZQsWUsvb9lFW+emJRz3mJtx6rlPtGz5Vo9r5PvST8S4pVPdAMjYnvrj+NJZtHLvSjJ3rb/8l//yyzl/5+/8nRd+Lp+2nNIarJYilh6v0aL96zzdaGjX1zTL+kT7p3nqdW+pTLPAImz7TVau10dvNBbhb0XDa6U9MgPNSu+3RTWXTV8EbxH7PW5m7Q//4T/8P2S4NzeLam491zd8wze86BkbLLREc9/3O3no1vPmqyVu1RHNWLWUrTqhc1a6N7p+S6e6hv3qs167a9Eb+W9pt02HZFVE3a35XwZlrz2qyg7Gy8wuY73vH/vYx14yHfo4/l77S3/pL73Z2OGWhKEHOVWidMtv/XcjqDdrfX8XOffbpXf70+s02kzn0h3d3KeljL1n+1ld1CqT21c6xLVlB/RN1czNfprTRa//4l/8iy+//5k/82de7KR16H2palC+bAOlRui7hrj822xL+f3qhWs/ayNbamcMLWW8tLllizez/WQbWrHQiqWrO1WRmF+ZCTIj826/jGZWZOf//J//82990zd908vv3/iN3/hiX3fOdPsyfsMzKw+1rIfuQOvqYH00B2jbbM8tT6d7ZU+bLWtWvevJKmPl4R3j924QBBM041N53mfl6nj0ZjVb1dDqMbzebGDLplsJQ/7+xt/4G29o/p3f+Z1vsvnWz/ce+tmy6JYhop1sqVdLL2GftW5ieXmu+KBZIjqIjFUO0Il81Ua2QqUZJ7TQ91YXdf315ZuW7l8ZK6a82cXZ1D/7Z//sG5p/+7d/+4vut78L+s2GdIPGYvLybEtDyYLjnjDmk65uxrlVG3fMpcvVa+igmurJhtxsbvWKVn6QuSw9rz7C28XrrQZYX2dr/9yf+3NvaP63//bfftHTN7tOZ7QCYt/7KLrdT+nyzZTX/4CDL5+1guq+boYdz9Qvu9i1Nuzinx7X/+HC6upml9G4laZ9Xq0S5eG96fPp6b2618euu8980XdqvyGn1iBbckqhzChwaNVC9/lyVzBKYK0K7hr611qP6dqWq0jeyan135MDe49zrL4XYL0Q8gCsKmo0YZjKqIya+vUZhj5eZsKy75t4DGlzIyVHAFDXYV0A6J4U2hWeJwY2N9oT6HtyeJ1zQUGDEJylXrs06+eC1a4Vav+tp75z2OABp56R8ixFhlITNGj5xlX4nIzLt3VAa5yvA3rXjpRelZXLM5f+T/PU695ycL+VLpza0q2OBgNFYTWQ8AR6Woa2z3TArrN5UtbXxlGonOrjfret/HVqvTi11iuZlxqK64w9ObXmrKVoVxfVaD9du3oC73TOruPgmi3jafm5tbNr/sO3NczKufeZfjC3BSrajtmruqBlWPpYIIy/y6P6/tQu3bq+q+e0jLPXrqOjT+bFtUqrBjcZ/tecuhvUpKeeApwX8LZvdBnd2nktcF6ju59K8fCx0m9l8g3e2JynfEYG2ofy/eW9177X5lUPX91SoNRWG/AkN/faDUbra20x562BNTQtre9Slc4h5210VAZXWnoVr9SBKY0qH1eHaOzwzhdg4rRYG9yyWKWMro0v0Lfl8LVd5IWe4yzrQ3XYjrVcZs01ap9vQIJ+b5khOW9pdOXt0nxBNbrY+3U66rQ0yFFHpE7AWp1aT23AB5zD8l9lm97Q/4Lv7nmCvi2N9exkziRgTt45+PBK5fQGzRpws0/LDfKQo8pX9b0gQWmO9zj76Cdg053br1PbsV4bSwfSUW0X47CHdfC7EWh5DM2qvyq/gn/FL72Xua2jVee5NPW/Y1qOX/paSlE8bZzmrTQfRreU5mLfBj87drpTKTfavub/rG9NxlgKKDB2sfN/P8HLLjm5SYEb6G1QuzSr73ZtZ/2fHj/MRjeQ25Y+d3xdcjP56qZXpd27vvsxkG275zm0Istu2ihhO98M1L0mwlQ5XoNcEOncqyQR6MkJeAIsNbTu00m7UYn2x3H69nT92zdR1Z6Hbjd64r6LWDAqja5j1ivoXevjnDpgN3jQa94ojet2PHeMHeeNMFWoGbWnDEIjRo1i4Qv/NXgxoFJwfOf90qUKt/d9zSG8Cvb+/zT+3ufOTY1tx9xWx7iG7Ymfe85r/apB6BzdiH35/CkI4XONk3kgh+b+KknH7dzN2QIG1vJcmjaL3GsUuHceGx02xuqc26cLRju/BVSXtnXw+700v4AajW8VQft6+Z6hZVwBEed0HVn5BZipU1DnoBsEaa8FtDrGRuGvTnwyvJf/8IfAHpnAD43uXrC1ditwOj/WKsqElZaXry5QKHBuXwsa7zUuna4cmB9zbmxXzzVIXOegfHFB/uWt295JR/T3e0zp4RpPOvqJr297+u327+rJy89tZJ3TUTpdh+E1umjTOfZdaBCqusL18UDt5Q0SXD1PdvGv9c9o6bF7aAkHcGoqrx1/790+kCn6u0Gp6gsbisFszbTi1TpS9ER/w8evze8NgmkCx3XWb2C8zkxB8VoxSfXXDUz63A3HqreKG9buGltrtumdBlTNG3qpCqKni1PYGZjWtSo37fOTA1Kce+mFB57O+2S64DolnSPndA4vfzfLzsHV14vL1/Svctr++l5aXwxNpmDjzk3peHHUpdlt1Rm3H9XbT/jxteYaDSpevN376nOxwcXe5RfXLdbVNzr00vhTYqf2asWDSsPq5auH6YYbyL1jgdeK3VQxrG8c28pz8Ry540PuvOnp4oBPpt//Dzu1BHlCPXC6CIWNVa7AVhn7rQRpR6sMCmDaCqjqcCBslVfPfQIFF5DeSE4V1RMIuMbtCsbts35QBiI+N1sl0+QB5GtzaGu4gNcnQNqMSel45+K2J4atIHbMZfLS4CqBBjYuIOo9S6cLuCu4PacOGcVxjeWTEBQQX8DW9nRMf3/KYDyNpUDg0v4ponf/u8cVFL5Ta4TtycFsX28AZa8asOvIFVzKJPT6lUN0Kr/gcdvdd5wXiNSQUf6VsWZsALlr9C69yqOdp9eOcS3H3d9Kt+tQOg4AuPLa+az+YBzxdsfvXIbecbIWLZ2ir3d/AaBuiNZ2+fyJL1/Tn2sFdk+6vvQsDeq4MLRtQNwFIu79BG7vfzXKr4Gs9vHO7ZOj288FKH7Hu+REk7lttUz7eJ1gNsPnJ4fzCaD1mDsHvf4THfBc5+dG4J/odmne/3rtawvuvZ/4q8Dt8kHPeU2mZb1HQ45JH8F1aVF+cY+CwGKc6islixzWnsOxEzRck8Hs/at36Y86/9VB+I/ObsUIujme7m5WsBtldayVkfa5eKLOV/Gf1gD95THnXb3hv2LAi2WuHHcu6Mmb9boB0AbIWgmxYwUjykPmkxMs61+dfXXbxTgXGxZTtfleW2puGyilD57OvTq4jvB1tEvTO0euefFWadljO9fsGLrdub6yvFcTPrcf1xZ1bi+Nq+eqc/x/ndeL1a9u6fUvza8T/MSzrlO5Ik/k8NKz8lW9VttfnVhc+qnJlvu9uugGosrDNzjR4OyTvdr/fUwSh9YyNBsJ1y4J/NUeun8r8t4pUPquOLWIvcF4mLQd966hRbAL4q6RvQxDeO8xT8riMtJroKDXKHO41i3RXLvRif5XRu95BTX3Xj43c9ExvUzG2xNtB8g1zFEQdCOVvc5rDtk7tRrQnkt5du5KnwsoyyPXoFzD9QR2S+t77Sdloo81+ldBdS6fwMsTnZ4A2ROfXiN2aXqv8U7t9uMaxXvt/v+arFwg0ftUQblH57rjax+abe97lfhrBmtN2d+UVoM31wg188CwF4DdUnIyUoD2RJurtN+JL66eedI3Pa9g5M7TnZOCqhr0ljdd4HlB3C07rSPV0nIOL13yTjzxGg0uKHgCU59M118H/vKec69TfXV371PdcvXtlfs7508g452OfU3ePllA8drEltpfXXfl7clhLX2exn37eNsTD5cX+m4OOm+3XbvxpFOfxndl4TV9h4f149qCJ0f4josju/PooFti/EQL/XkC83d+G1TrLtPtZx0vjoL+VwbKV/pRfPGaHu9v8EYBpXE0k/ha4LXX0u+ne73TnJd37hxfu34xUenqt1vl0NLT2qLSpfPVcdKtHaNALV73P31qnrp+tw7blfW2J134mo0qDd/pelceX8M/rzlwpdW9bl9PdOzcPPX38kXnurbgk43pyvc9751o1H482ZHXXj33k+mWiwue+nV/axCk7xeT3QDTa/xxdeqnHL1Qp/rajvLw9WH6W8dzZaRPF7DUwnvlUAKC7q1OKo5RofZEw3fVqaUgtzZjNeR79qGH11M4JZpnkzVqdtsFOve7z1dYrmD2v056o0M9p+ukLoh0nWtMyhRPYAUgvWCpkY7Wvrc8lbIe+GwGi/IsDZudqSG9fSwtgL8npfMUQXwNlNzM6BWajsX/T5G0glHC7HufZ9WypG7WsmZd7e7hYe7WSrhfBbMK1XXco6UOryncXrPXvtnOp3N6v0+mhO/vVTI12jc7/dr52o3EN3h0leHTGslrAAsSAKhr9C5NR2drme/z8rRG6JZd8Rgtj7Nxr5aDtbS1QOXJCO37U+ajILvHVtHfoFmzdK8B/mY1et0+ImvN5lp9jqcSnm5+5ZrGLkKqNFypnNLDfV5VzX1MzQU21YVo8LRRWWl1dfC+301ojL/b8nvkU+/TMlN9oN/IcB/h0nLDPuOzJVqVu/L1E3h6zVY4/omXOvanOW+5ce+LLk+O0pNN7Hlt+oPnvarPety1mzcA09+vPUHH19rVDa8FBytvPec6bU8VTrWhndcnIN5mbd7OXTDN4zVuNVmd1VsqfrN9T3imeqX2sNm/zmmfr9lsaCvR7vfSqP2/9uiO5wao67CUry6wLY2f+mJ+bpVFcVKvWTyg7+S7fTO+0vQGEy6f4RmPrXFfz+EsPpBJ6nO5PT9WBgld9u7xNd33QD/1obpP6Wwx4LXlXg1sWHu431p2/TTO136rvXHNy5t37prcaUVP7ererakttus4LsY05zY0ohtfa8ZqDi8GL4Z3DzRqFcTlsf52v/f1FPR+Dae1oUeDb+WN8raAiGqzjucpCFM9fZ1P58ILv/1th9Bxrtey+84vLKKSq30rrqmeWrWC63Nm+4g1m0VVF7FLw3/2rYHl8N/eJT1Ubr0WNHhXnFoEGtD8rM/6rJddSa2ZMJmNThIiBLwldATBgEyU4+qI3SjcjciVmS8Aq8NHeTTyVtDQqFaZAfFb+38Nrf4/CUUZvX3ssRRMM1hVZpdGF6BSKhRyAXCFreeUTvpVA/bJmAmjXqXb857GWtoYWwVL33ftuzOg+fNML+d3rl9TAF2b0B0l3yn62Maol4/Lo+XN8iyF0Hm6wK10Kt/cjTy6uYTjCija/9cCSdfBqoxcOt7xt+971z+RfPSpQW+gpJuztE81AsZkicOuu3UWBZnm08ZqgH1p9+SQXZ55AvzG1khpneXKs3vVKDnnzqf7MgZ1xGygZeMbmVhLEkQuKfpumLIXQ6P1szLH/vbJ5L9g+dLnOl7Gz+g5xgY35qdOqk1HOOPGgzbKpvt83AVU8T2jB4R5/mn143WKOnfGeIFLZboy+gTcGlS8DmcdiP52eb7BispYwT/AQm7MZwFg72n+u/FQwTH5qi54rZ+/EVBXOl3a9RqViTqo5TXXqN7reVcXXuftqa+1U5ZP2UiteKUBY/3iEN2s4M1eojnaFlS2QoLzVIyBNg1OAKG9l+OLs9zPxlr4v7R/CuZcfr6yzc6UTzsf1e+1XxrwKjB/9Sc8ZZ5bDm49qzlRwth5IffoN93Q58Hv3h2n1nPgDv1p9t516nSuPW3O04RG7WFltIHbzsPu5bmvdJ97Tad3I1D37L1va5DH9Z2Drp3npwZ3oEX7d4MXxdTWbZKFYqU7djS/eKS0xPeVvcujl89ru8jn5XHHP70uje85dzyvBRe6sVPHW7oUE16c12tf34ct7WZW+/0/vf2s17v/iOUJtQN0yz4302o3/y5jKmbZa1illQrGCZN3l3e0p0/o3+1Az/7Xme7GoOW798SpNcEeNbDXa6XHPtdx7P9VKs3G1QAjfqODrt3M5TVkNZAV7jJumYgwEB5R/zL3a47EBT4vRA1DFTS1dSylr7F1LBd4XUDZSA8lvd8vwz8BC+dh+Ean75xep/XOd52pK5zXCWz/GaeC/BthvufUMPu9yrAG/zppna+niPsFf+XZO+b7ug5xefGOvSCi13gtav4UmaxsXSfkztPlwY7vZknav17DGCvPT5H860A9yfPNJpUu7g187lyRvxppv+9d8GN8MIW4d7vHVkdcObrzVIP5Gpi/DtH9jL6XV2vsrM3C83b8o3tkY/1Ww8TA7H3XmCHa9VrNcOcPaHuak3eag/JpnZYCOnLKwNGl61f1UzMsgBMwDvgXNFqnqD+MZ4E0mo5+aI2m+lSd/BSUqpH3382w3pdz9d24r/6+QabXZPXKk+vLsMsgAcfdrbTnPjmvldEnvVF6vAb+nmTltgZ5ru144qm+X4DXQHXPfwLJ1V3Xbl2aqvC4do7eqg6uLbn4pYE8tKWD9Lc2mc4rNsDDzqmOr0NVG33nor+9ppOqg24AuHagALJZuGt7KsPXHrRv16kpn04XtYzXLrB0eudXP8i1Pgnk0QH0DjxRPjRWurTBC9drdtaxMBZaVt7dq870fQyMe98sIpq1HPPaYjpMxePFbBfs195cebly8hq/lDe7ias5F3zs8aWvVp5p8K90uXJ1+1me7LXLb0/4uNfsb++EByvnT9d6DQvgnSZm9tts33T2eLQBKvS8QSHndvz0IIzjPw6tR3rWd/ltb+sZQV/BkNIEvtCH9ZFDu4q49RuuwOt9rWqhGV33JnOVh+peGGSYbtfg1K7pD9m0ceQ70f5dcWpF1J6cWkxQhqW06pRiIAS5DitF6HoXjK31WavNLPjtKmvXruFUQrLvJq/Rir3bsl10FXNc56VREY8HaHRNE/V9jbYvk/KKU3sVB4EQHZO9rDIpoEQjfTdvoiT7bIF2haeKQLvg4gKmnnPBYT/jgdHZHLgv54dhWWsg4irKlgy1Hp/SKY8UUADG7VczTuhYPi8t7//XiF9l/zSHaNhMhH5dB73GpIb2nn+V9uWpZjZvpcM957YL/q8htc61dCrdKK3bLn0XbfeosM6H8hb02b2W0R3/T1naZXnNI1LQpryjz+XRGoD+d43bBZI3SHAjzIAXZ3bRTjxfowbI4H/jamaj4Mm5Gzd927mokXzSLXVUL3/2e4NGBZF3p8/dA6ico1m9vHeZxn1XNs1B6/gYuZZudr0OZ1cWc3Q1zkaK2SzzeDdpQp/xSY8rTZ6CgubZWDdHroG+ZLI0f6d2dcnuOxoCGYI8gO4NEqChcnxOdoOVT/dsPy9IvPzuuBsUukGcJ6f2Bjt7D3wkUEPXVc+Tx8urty9POq/BNK/qpzqcDa52PL6XXqXHzRSNLybj7HTL6tY65srXWvWA+9wA4s0GXnl+CqwVOF9bYR7qMJDH7pSLXvrefnZuywfFHjAdkExvKBOnW8qLxWfjDzJv2YZr7Lz9t+da0i13eZJlLZMldMB3TcQ4pwG0K/OwYp/HXptePcs5M4ejg91h0aT4V6BShlVVS7Nkbdf5u+06lpWj8rprKbWmT/D007n40W/6Qp89Ja704+rVXrtBhPLWtb8+d3xd4lcHrFjiBrxbaXTxa/tWOrFBeGeff/VXf/WFFziA1Rl8A7ayvF1dWX5v5pgdGMaZH9bS39/2NrbyfHulyKXzdbIFxScze3l2rOqx9u1ilT6/mv4qLn0KFnNY2aXRYUtaPVHH3HU39ves/Hg3+6Iv+qKXdZ8tTcEcZWpRCk4GAW06m3A2wtGHA5uUu7FDiVLjdBWoCUSUCuot/Rvz7QVwil5gRo4SZfj0zEDp9TGUPnecQE8NIVoQngpRQU6NUOlHiVPI3TjJ/2vNRjfy02e+7jwP6kb/RggL8szzDSh0fu966gJ/RmGvRYfQvGv/dj19GN2aQe/9m6EFSkpD474OTI/RKBP3Z3DKV5cmfdUJbev3C5I7phtpvNfABwV7HMsq54LQykOVI4VhveMNDAEK1wh1PPu9GzpxEJTStu/VF52HC7oFWADAzefKVUTzZTA5Th7SPfnFt1P846udN55Wxly63bHWQD8FJErPyzsFNhxMz6EsyHXc+kanrr8NEt5gEr3V0rm9o3EfzF7D4tr0z91x/fJVgwd0g/67/2vGTD/J6V4zjqUX3STw12eDbh7pWcf2Qe7u6bcaaI6fsXN8RYrxJ14j08Dq/rceCf/cgFJ54YJ+cy540lLQ18B++Yc8dCnHzh8wml5UHubZwgKYXrPHnLLdG6AZYO567JZhl9f0iz7o+OrktO/XKbqBkI6j2b/SsLyK73a/LTXwmCdj6T2enPTe8wns77+Cyauz2aNbxseReNKH6Fjnb83Onp65uPP22+bDc4rhJcsNyGbp0SAUxw0NOUHVMTcQUZtw++i/yi/bhxdUp1mT2edb6qvlPNdmsev4qefvOwzmPoLXe02fC2ZxaOs87LqTt8lG7dkAcWWdrSjfw43uixZ0zA3AwKfNhk2vtToGVhRUpZMbZEDLBgD228A8nt732atWJHEyds5nfuZnvqHjzdJ2TptZdu061pVFDg5ewxM+7//pocpDadlS2KsD3LNLyJ5ks5/r/MLo9J/xdZ7wVrOfa7WjeKH6hkw4X4ONteKmp7a5X1/w886f/hrNioWfaCPYIljLcXSs63XZjUC3zXo/53M+541d/N/fpteO2e89jk3j/7SNZ6en/v2///cv/ZaxHe/VqS02aqVCaYN+tTP1kQSqG8BbWz/X31YmVHbfE6eWEpjiuLXzBV6NGDcLWGVpkhCjzCvLuQmfwKutriGuQdE3rdGVluRxuLrVtD5POe43iqpRF0JrrO2rvpjITcAmZtdb/4GKOo1X6TwJuoZeT78RNCBP1sN/QAPFxWH0avR7/WQMlAQCZoDnjTrWgQKc1pptKj/U+aQERnN095owNeLdB4ZfEPjkLNcZ6T3XuqHOPaf0fQKwFwzeOSk9Ok+9Vw1KHZdWANxSkSdHs2N2/Tpi7Vev0fN6nZYUcfpKw8rcHXfftWYVSn/3vU7ta9d03HjQ87AZYIoWz4q0m2frMlVeAJatRChtqs9utgwd8E5ljIIf346X/+N//I8vxkA2ofS7Blz5zeRPoLBZJDwjmmvzp/WBsreRFudfn2o4OXC3rO/OX8dGf6ORLATdCIzTL70eQ75jCiIbiHNf/F9HpYCLYWf4C3CubtOfrgXq3Lo2HiofXrB/j2t/KysNMOK7yvOVmTqMaMI27foyzrvPwNF4iY6cDCxgNMeoQYXZyQaCPRZhx+9Yv/VpBQ0Ml0dLk6sLC7jKK/il/IQmtTdocnVNnSlBCjZ1gGtAH783C1Z6Vh6vPnLcBb+uxY62UqDnNDB+bWH1LqxjfoBN8ledVrBHnnpNfIf+DUw5BrapY1c+7W/GeUuk68yxBT53g6U1WExGtTjs8nn7bMyyvf4zd/u8edY/jlyrWBpUgxts3oRe9Gn1MjDePQrqEN3AzhPv6HN5WnUZLNMKv71UqRhrAzPmVSm06gvfJXZ2rASKzDTsfYOrT5jxjsd8w2UtVyWLxW0NSsn46SP+vHiivCcIzR8oJurnnnd1CPo1cFvbs1a7Wexxg/N13PFNcWUxwT3/4kHt3/7bf/ty3e6JwSHki1Q+K2N0S3m89Ox4Bf04hfyU4u7/19tVAuOf4Qk2f+82ZhKU6X0k9ObUCijC4g2cdylXk2RoiWccV71wMe19dCS52v2n79fsHfHE5++KUwtA7YZNC5sMwKJOLQeQQt9gpxi7eYAJAQx3jQq20t9GzusEVkAqJGucZ+cCRbtPF/u3jpxxw0AVxmYKW+LKaDueEphxA8Yp9JaYXEflNYXa3zs+Cke/PIvP8eZm/WMoxrwMBgY0pxTJ6F3lX+GvkFN6mLjAFW9UkTSzI7sxZSDjtn6tnxXuOraN3nQNzmtKtQ4bgW70rvcora/xKRipMbnOXxVj73EBw83WAyrAfIH4jXjdflZB4/9e+/JUz+scXgPffutPAX758d7nGpUn3i4IuvPX7xs3IE92PJOV0ygQQg78RzbHVzt32dAnmrTP5fkCWs5HA1yNWo5vp5B/6Zd+6cWxBXRch/GRmeR02BRhfWu5XOkrE8lA0kEFifuP04vu65tAAD3xxAdXvzQzjKeVJxXINSipNYvaqCva4vHOP315Ha06ta3sqO6u4+S3RrzvGM2FbPHlO3Iq4n0DH7U1DXpwzFoW79zXHFo0quPSjTrow+nJvasAGk3RfPeZDgVOmwH3POidNx2/zxwqpZd0Ef3S/t7AGV1Q/ndcA6UNRKzv5HMNKKfX8Zv5a/ClQY+NxbhfAzl47P5PtzXyb77QH19x+m4wnN0VYCdjzV6wha2e2ItD4BrsSG2uKoxmEcuTdbhvQFC/O28NHqFlA84Fk3VqG6SpnQKuyzeue/mmegTIluW7gYMGwGBIlVvdsKb6vplRfD/eaBCxtkdwj1w4pg7dxY7lnTqJ5qqyjt9l63zv+K4TSrZ23PT/PnOG0XTnzS7ge7p3c/CaU3vHcPWg4FvtawNGZLG2pYmrnceGPQXsGrh07MXR8EadxeIofWuFTuXzJsXuOsyOqU5tN9hbq/N1cd9NPL2GzX/lV37l5f0//If/8KaPEjbsb+VLEBYWLW2rZy8+QycZ8eoqvsiv/dqvvbyPP9CIjkOLS79di44WkKe/rAv2vcuEqkNuJZR5uMGXHcv2VvdVV6wfNv984rF31an1uBklEIzuQJwsBUUNtOno/nPuBz7wgZfriTZMeTmfUGP6/VeQh+E+93M/983uWSUwJqqwUzJ7jQE3cXsXuVEaXZC01kiya3MClRJReIuU67Nt4YHRX/iFX3hjFD/90z/9pSxAKWWzde7bhqkb8di1Z+D9pwGLt4RHOfWETnRT2c6aNXvKPdcPToN2I9LtX6PYjY6ak2Zgdm/GQBZChGvf9/9TxJzikW1Q4t1yqKsQKDelqZRqSzCrLNoK3IyhGYKCUtGyBnlqqAHkRpp3XEtpN273EVHbS/m9Evwa2DqbLT++80NhGH8BuLEXmF2nttfk2D5F533G00BMS116nbaW1vU4yliGqeN1ndFr/ZTpR1/Owfhr5+8ev+/3/b4XkNDruV+zcqoz7MxnPksffdu9FuHkzC5yu3cG4TM+4zNe9INdjCn16UOOehU8Pmo2X0BRCRWnE+im98rbxgPIv2aUb5CMc0EGzf/GozRpNCxPjX/xiw2b6MwuIZF1uGV/+spuPDmNsjkFN+aaY+u+Xf9DbjkKaCNDwkls8LHl7QIFl8cv/+iDUsqOo+0JQJs/O9+Pvvu+pwwAJtNjsxsepzd+s/bpQx/60Juyx8rs7jUec86uZ0fxvXvWfEtyK8PlGQD86g/3G29YkyVIvP5M/vCz9YP0JKdk9xVsna7e+Xu6goDPvtP1+t69JDrHTyBo49x1Zn+7bOoXf/EXf12Al21a63OdG3ho+XoDZBwN42x/OFTjCZimy6t6TffrPTl8MIJ5JqP7T0YYbfFDwXKDBsUW5LgZS/+VN2aj754h5KhOtTHcjHdLcGWDOLLGoITXcqTud3JtCQcP36LRxtHM6K3K2Dnjo8mFR8sVQzbhcME1HUuHFNPQGez7PlfPNLjZgHmTQZNnMrhz2bRdA1biLF5eJ1vFrfpsfpuJ7Rgnv+iw4+FbDY5zfUHi4oHqY3MGvwuQNuD3mtNo3lqhJBHF72ilSqtqWumJ3gLLgsxr+LrZ/GKRJ939ZEM/8YlPvPTjl3/5l39dpljwjfySwzro/ruOfefOvNYfIePe8dR/fnve1o9hEJi+gWZ4poEZmdqdo0qGPev+FPrUJYujNduJx5vEK06Es+CBNWOo7JKPJgDfE6dW6cY6xBGdIAzQ7eYzmBeEI4gSuU38jqfMGOWClEZ0W1u9wcq6/MAP/MBb3/AN3/DWF37hF76ZxAvgKHBCvAn72Z/92Reju9aS2/WfQ6WMj1OBMTdmjC6z4L4iC4QHU+64lWsT8I11fZgxHciYka3DfttliCrBtbvep+V5zZaWKTGVewJtoysBsD4XaGCcqiSeBL6OJaBR47zxm/fxgbUxyg4ENlpq4p6NsjfKj9eaBa5CaCRISerN7t5sSv9r0MEc9V43Cipa636UpugyZXQjzOh7M3YURHfy1a+nDOpVkPif8sQP1js1YONajfB3jBwyiqZZC+fi/zqB10G+xqEBE+NbH90HD6Jxf2v1RJX2lQng4rXo4o2o16Fq9sLvnfMuW6gjpTJloHoAqoAG8GzVQR3RlkpXF5Telb3xkWdcb24rqy117Ly2NLu8Uv1VHlsbH37rt37rG14DOhhI0WDn0h3NknDSJu/rK5DUEjGtG0Mph6pDi3+9V1eiNRo089R+Kq2ujnEPQStOdx8ldMEGYOucp7LMzgOgTQfv++iCf+e4trzsn/7Tf/rW7/29v/etP/Wn/tTLPJSPdn+bR5lPUXm0m+0ZL45PPv/zP//F/kzfzEZV9ppBrfyaXzRDH8Fbm5+NVrvPrr8g9oCfdVsi+HvNSWeX3ve+9728BpD2HZ3xBt26MXAMJ1MNCLNrl+b0566NB2EXj4Jq5oLeKIZAg/LTlY/ikAb3G6Stk9tgMRzSrK2xcfjoFb+z1fRPS+nJV6vlmpVtoObakvKqMQlQkiO8sXGYhzb804yZIAfs2N1Vm5mFC7tXSLNy5rclzC3xhsPoSk6s9/ECvew6e7FdlU33JPPrk4QNXHUxFt1Phyv/r06mo1ruXWdl1/IoNyWnDQLebL1+ch5rp5owqU24/WiWmd6+epT8qmJiu/CI5p7GhdeK8WsrHVsciccb3IBlSu8ukyF3DVC26qE6uxitY619v07mxS76gT+MtYEUeKX8gY706E1AFMOQNWOsjqiD+SlvL4UUHEEv81VeaEDsPj2B/NDBNnVzj93fvHeZJZrXjl9/wbVb6YHXybOAlLm8mOBdc2oBLZH5deDf/bt/9/JaBnYGSgYEIQxu53BapLlbnlcnDHg24EZhMPhP//RPv9xz9/iCL/iCXxcJvaV2mGr3l0GZEQfOGSrEJXhr1iYpJ6BQCbdxWtzvGj6vH1OiLflYxnQGZ78pEWPMLvC8ALYKCNNdZxKIacnB+orx7KJ3o4uUhXc08B8D3QhYo1lPzorxENRGYWWOZdhEZltWQTkwpN1ook7IVQbmVL+0ZuHvf9pT9LAOLcVYIFQnlzLB02gscn7HtvnAdxvjaCQjzek1z930xTgabe2Y6qSQG3MriFDFiTbo6frN1omAmwOGWn8otWauG2B6zamtY9C58RkNKT2GrEbYfDRbRUHv9/HX5K76qQES979K2HXuO74oCCgNOUjmss9c4xTQb4yHl/J/yzwazEGrBgI46QyDjW5aysiIa0A7p7ZyWh4qUCeD07kMD6PYckD02L1lGvSHEecMTy4A/aeorH7eTG2BTLNd6NJ5rC3y311f3Sw5HYufzGftU+lL3xcY4tUbfLiya4x4p/p7v9XR/omf+Ik32ZoBc7QeTdyrdMCL+snx2dibUWmZfHmqwK4y3Plbf6dLZGfLPypP2HiZPnPBtu74BXm/+qu/+sVpb+UNfa4U++d//udf7rWG39G6pYVPTWXEjqEP7E5c4N/5v5lOc0ieCpIrwyqK1vBZ9SHHHbgtrY2ndhNPrDVQyX6WB3aO3Uud14qh8qXPvtMVdRYbqL/OE156zZa69j63tHjv3TxURl+wjY6FBensZijpAPNRmaNPGoyyGU0rvq4jXD7AU02U0IMNOtTpJqu13ZbPXKfWvJCb2o+rZ9CJLGwMN5BQHKn1GDxVJ6FOW+fj2jzny4yjSbOxsG/H5zz3vHKAj/QF1mpVQTedRac6fk2c3ABVA591rIr7+2rQ88mhvXzuO4fePRo0b9k9PtYPCb9mucnsxTEN1tCh1Tu/I9V/tQP0or42OHGz3LVPpWWDJWsSmHVmfS5WufaIrkQfNrf3EjS7ePddd2p1mmECzBY5bdRUtKlGwfmiZvvdjlxf+ZVf+eJsLmr68Y9//A2wVMLzprOf9mlvSpJGuI9+9KMv9/7Tf/pPvzipU1ZKUhFJKfOM14712IWVAFPwjMZaS1nWt2WDP/uzP/vFcf+e7/meN04h5ahUT5Z63//Nv/k3bwDfGIERH42++Iu/+OVay1j/8A//8MsxM+K7x9NamSrBChCntqVElBJQIYIiStjoXI3LIuyypnM03XfjHF1tG75ronOvpYxAK+hu1kCUdnONBsqNWvIgEiqqumi/XT/3vQpAH27mrBHKCqLMdAFl6eqYKskanzpazpOF9T+A3wyALL0xOpeTSMg3Z+NVj8xq5BHvNipq/MqLOgfruwi//rTECzhuGUsVL1rgNYaVg8ZY420OkHIUAa6WjbWy4OqWm7Gyjh6vNnLOSW/mSFaq5aJdT7rxbtmBTHr73nI6rwa8CmLRpVlvxzEOKjf2eQEv5azGU1pfxb/PtuwvKKJ7yqMFjMa7czmqxnHXEq2tTJrxq94BVsiXZ+HJrK2t0mSfd8zoqhTWPFdGW7Uwp3T2Y/c2LvoUT3Wt/Jp1ZI1W75rj50Zya5y7TnT6i62pEXdenb5G1cdzHKmWjm285HXl7ACC7G5l6oKg/cbBAfLGx8ta7fz1s46n+ceT9PjG/v73v/+lr9PJ5kGg1JwtIztbN/u0LChQOh6ZLeVobP4AkS6Lubqx4JaTPDrtteuLvi/oPLuy9zWB3M27AOX6t77vuPX7gx/84Bv+bTngWit1Nr7Ri2NbZ6LBmDZB9N2PDLlGS/bxkTHSAcbewFX1Ue2yOQDC95IRvIE9mMg1BeLpbufYRIlu7Dq3PlKGw3oDLHVqBUputtY4yBlZqANt3lvGv++j5aW5/7VdY7JPB7OFlkRtLtjCXcuj3PSNbF9b3kcBXjtIn8Apu+aSIeMDQX66u/JfR9d46cTxz8bRoBw9DoNWZ5PF+7QM12tiAZbonDwFzSbrlt207bfRw/kwUHlalq105Cw2ONzAWjcnYxNU9d3MKJrjkStb12ZV/tBDH1p2DstXrz45nmzOdVD3WzOKruUcc9PgUIPsTaS0jad2/T460HibWa/T7bowvLF2HqorzCdbU+e1FV7/z7f3DMGL9KaMP1rQa3w4ttvGa+yjub/LcGon0K3OdFt/uzrHOd3EarqaLK9/T4Hud82pZQDtwrgBzxma07F1YxvkhM3kGISJbClPN/WYQyeK9VM/9VNvov1KnZ3/5V/+5S+DF02bMZyRnLO6KG+zGQiBsdanj3zkIy8lV1NoMmoi/n1sws5VvvejP/qjb5RWNzwZLUZ8wrBrDyTsu7UJjZ5o3RBmffqZn/mZl3uPfgVtmkktU6AHRYPZqsCalQAoGVEKbbQd3bc+eXPA8Wr9PxBhnRiBrFOrNbNLMWFG5VCbs9FnrxmGKlD9GwD7vM/7vJd5Gm9tziu8dj7kNDYrgE42JrlCtxfeq6PS6Gyj8n1+VyNlVarNbFPK1gj4j7FqpgeAAHT1o4GMRrV2HKUsCtzIdZ1wvCBar7ySMWYsWsrZzHKj0PtfdJoS3nm77+iD7nUYJjMU79qO2/mbz7WbwXpy0PDSzuVoMDQLirQagZ7gwDNWdZR2nAqJBtXuhmg1hI3s0js3g7TjgHQGRXDMPFbvMRIc8x3HqTN+WS1BDU6uNWA1tJpzyX//b8ZCW38nawXqAnN4Y/ez0RB9g7dnA+iQBoIqE938xz3sZL3xGdP6IQAHzOKHZtJuVLmBCDqNXDD+c7bGd/s850pGyP+u2XsW5LJn+BLP7Z4D6MrKy7+jD0emDeg2L2QUH6GxAN70mADR+vtN3/RNL//PWeTU7/vXf/3XvwmW9BnO9N7mcI/iGx3wNxqNvj/3cz/3ph8ti6UHalfx7Wi54IaM5wLSaIm/2RB63IaEIvyb89m+jfvHf/zH3/q6r/u6l+8CBGj6kz/5ky+03j05/Tt/3/uoL3rk2lHO3/TGsIK+rF/WYt9qiQuYGzy72Rt6v45Cr1Va9NpsQrN/zXThFXihmaoGXCtjfmvADE0EdvqM49JLH6v39KMyUv3o+hzyNjJJn9g3o5notd3Tky5gPzzfkvLKo2QEndVdw2+At329VS91PkrfBhF2Hv3VbLKqLPoINoChalsahK8egxGvc4P30Ns90FLgss062CZI6rTTOQ0QVK+VV7pcyXn6ZBnX5pKDy3k3d5Oxq1fZanYIHWGmJ0xSDNWsq/dm/ZrBZAsaMK784eHy+ZX32tAG+tpGAzYcLrOkY7/DMOa0FS/VBQ1AFV/oQ+nXaoqbhf2/ZCNVWLG4H+16D/dVdTodvGDo5HU6VgCwFbXVE8U6LVNuwqlBkfI+fqCf9lngeOctcLz7zt96T3Y/poAJ+W42Ith1t+C+yhazGqAImTLYKhDCPYJ2TS3FsybLst9G9EaVTFpLO2xXPcNuzU6BVwVpDeGt7ZBxqULc7xZI7/67fkFK0/mYDpDauJahnVO7vs3Y2pnylkE14wnwlk5KcDBXo82dC2UidtKjTIxXpKnCXUcFUHbfOgBVCvrxVDKAJh55gD/w1u4zOtjEZO93LekdUx3tgoo6u5wh/zm/axbb8AdncHNUg1TjWUN0y7wKPm7GphmA65zg22aOOHf6/eT0VuZaHtj16wx2qynuSx+Nw7jNv/42OHDLScZfDAzwdoFf6Y0OBU3oKwPo2tMNBe4UNj3ToEP5oIpdf5Rj4YUq6EvjXu9mrRgPeq281xJlL1ku92hVQQ0aUKgKgzNZo0IGK2cFMzUo2q4z4zXd49j1m2O1Y1WkTBZF+Gsk6TKG0fxemSowsMEIMLhjBRiUCJa2DeQVrHQjph0PUIhQc5oWsFt2hnMxWeYw3ajyjYZvzPRl+Qk92TznmLdulNc58nvlld4zlq7HbCZw/80Jc8/NmzmYzsRX3d3eWlqbOI0WaI6n1/a/TV8uv1Qe979y14EMgNfv9GIDbXTAfldJ1X03dl9VPKve2fc5nuzo2uzkAtg7puBRMBTdan/uvO4/DtXOH+icHkErjl7tbbM+N8tS/V094Lc6Ju7ZAMx1iut0yaR4CYzf7JRrN6v1xIOub05buljHtDqrOuXqxXvN8tJtO4Yd7UZ+a+SQXoHrVKV0PeQdf513+pSTXFzSyhvzVseh/a79vIGL3qvZ1ess1X763kDEXl3G5Xzv9geB0Z4cYvbiSc8qB689KM/WoaktvsGA28prHGCBXk5ncXT7WznsMkaOlLHUTl572cDi5YXK33VGq7P7vdepo3exQ/9/os9072zOdCuaDLPu926weNdfmxN0uPNkDMVFZA0P1DHeNf6XtzfUY5frBCs3XmsVlWokFR8LLrlfeVcfb6Be5Yf+SWA0eFGMdLFrfZm9bFrFx5jt3rg+9rGPvfWerKldB+bcGfDagJGSt25H3k2L+py6XUc0dgSawVIO6R6iqrvujM+8dWW9wIyI0AzhBi31LmJrwpQdzoBJxTNkIl6UK0UDZMka2PnZrsBToPt9WYD1bxthLFINpHI8GHgM0CzpxjTjPYbfWqlv/uZvfvld+QklgE6Uiv9rRB3TNc0ECMPb6Gr/cQgpdSBwwinyDVQ1QMBxkOWmOCnSZs5uBm/XmeCPXtZ0YmTPxtoxAK+1dpujRmwpt31vNvi19QiEo9HYZqKfnErRVuW6dfbwfp3jAqA6si9C9vBsr66PusB13xkzimnHigi27xdMcwD1o2uuumNgAZp7GxtDpW942O6erQBgPBvpp/zNv0AJx7wltLfdwITPDBs+ain3raJgMIyrc0T+ZE3JM+cADeiBjqPlVNdhbBCLfPlPPzn2eNRjWvAGndENlehd2anJ8Byb6TC6SZ8bcBEsLE0bmFqbsZg8LttWGRF8VBYkU7jgIdqozrHMAj1tEsR5FbmlZ2T9Xdez8O7a7JuJwlOcqF17eqRZbxu/2HxofZ4uWSXK+rvrzQ7QX51nxpYzCRjsnqNzS0npHM75+r9+7d7kG382M75GNtko4JBs0aMMP2dx5+1e+MHa+8obHuCMo+PAwGzMaLU533Xo5/Vx/822WiddPrqgVxn99PWyu7Nfsu2je3mWjiM7dEBpTYeTj1U8zVn+xm/8xhd+A5T/1b/6V2+c5l1PRkhFDnBcnm9D3z7bcXwBd9gvQyv9uhv4zbrQMXiz4Nd3esS87d67prV0riVYQ4fUcTWufcaLda76DPraGP0jfw0UVn/RDzez1u/ly+o/8ngztbWBljrBh/q0fnuSwR171wWiATzJQe6TM/aZ7MpYcpCtpaaPBKLqHLAz1wHFB+jssYgqIlqRZOdi9xYM3703RptjyUp3mRUcoAqSHWngi72vTLatPypEqhfqaDc4XaedY9mX+8Ej+KpBmD5WqeuWG2Bgz2BfGzbebKzv5rpZ+Tp3DTI1CURndplT5xnNikn1844djdD4BkC1r/iKr3jZDO8P/aE/9MapRxM4d3S5Jb5wgTluZRN+bxCtvkA3sB0v4dFf+IVfeJM04lw3a1ucqtpx/lP3KWA/9n320rI1e73gd5h9L5hufZj+3vzbpd7c4QOBZzYQX9IRq7w1xvlcwyg77od+6Ifeeted2hkwjh2hFiW2YQOGbyfVso/4FKtt0ClmTDVHb8e2lIrwA7O75u7JUH7/93//mwjDmnVHJl2ZyK591/TJRih7oYDW9r6S4mZKxgA2Otr9Vi4ti7tjB54ANSD+rltr1G/rosaIP/ZjP/bCDOv3Mr6acoCds3VPym2aLeRI7rf1qdlb61/32xjczpfKgW28gt6Lho+RK0R1UroVufVJnPZG1BoJZQgBjTrIXgTOfRgOa+9aNgSYNPNvLtsPSrBzXmeDcN9WkFXn09xVEVFGxmUdHuNRI4cX9U/jNHIcZUxct4bdvHdeCsBulrVgnCEHuGqogASKtMYAf7mfIAhwuub/0lBrxnmf6yyWBtegGLvxU7o7lqKVSRsvAi6AAxBM1mQLyBU+sqkSZ6ulbzdoVKDXvsuckvlmwzl73STPc2cZrcl8gxocrfH+nEfBKkZkcr0xT97pumZeut6669TKy4ITM2geOQSw73ylzvrPAd95HpMkC0jX75gGiAQS0A6dBAmttZzO4djues26oLG1ZM63Dgfo2PxzRDmVeEWZLhlSutw1W3iAI9lsN56sTOy8lU3LiI3OHNxuLFhnCeBq4MOGG66Pt0aD8Up3iVWWPJ7Y/ekLfNDMiZ3lp0MXIN77jlFZZS3Y3WW2a85scEeHkKu12TqPlvNIEnq/u9lvHHblti6O49F9M9gXu/YKVO33ARsyg06jmQA7LCAocPX6xjo6bVmLzZsEZzhRDVrQFZae7Nqy3g0mNJi0OZCJZg+8BGzpVbqBc4lPVH41WLWm3FPWk7O9/qx/7LfjbzCCvmf7WnkE/JYvq4ub6ezmdZXrVhVo+oCO7HWrYGAIjlDtU7N11S97l82xv4t+CPzu+OFVfaUHrS2U4ac/SmcYpvSERWszYJvJomUNk419h4k+/OEPv9B22HNtWG8JkPEKx9bGVei8Cj7LjCy344w3kG5X7bbpCmOsE7px4Df8Xxzg2pUtnyWSVDRKWKFJl4GwFfbraOaSnMDYzQTq2+ZNv+vMtpJFv83VdczZY0EzNpFN1yd8I+iGL1v5+BtpG9v6sSUSF8d4ZGk3Q8RPTQoJCjdI1wrAVpmNrpY3cX7hlt/+duBmLw7h+EyQgW9gX5Rdd7YBvhAMGh/N1yEn2pd92Ze9BD93zX/wD/7BC3aQrBOM2HnzhXbM/Jthm11v/ou15nSYDdvg/+mKyUyrFvaEG77du+7UErZN0jrJMW1JTZ0FkYkNeh1nkDaYGVhGd0qg2UKG3oPjm10APGzLLoruN063yQYkPfKgjs7OBWyaceKgNytEgEVKPf4GgK1hrEGtYGIOSnTHrc+j647bfW85jCjesimivS1PWiP0+x1AWZvBH7MzhEALg20OKao1DrA5rBPn0TO7zpQ4gLV7cFwAb47/BMYa4mZhWkYpq8z4GBOF3Ezt08YOzRQR2gLRp2ibc2+m0fw8RUH1q/Mso4xe1h2Yk1YurFHeHEX3u7sftvyQfAFWBds38GBsBTXtd0G8exoDWS34Ykw5awyGuWg5quhhs63ufUtNgKVL2yrQGy1mzJqN33/jvylvywpqlHcPz7ScclUS3cwH0InfG+0tuLyGtRl62XLjqgwVgHqc2f6zlvBuhCXrIapbx0d0E38x3K0G0H/Br5ab3mCKMlbGpZUW3ZWRjgRwRj8Pm7dJlCUea+QacBGdB2xaRgz8CF7uPkArB6oBMH0zbsGHZuAFbJS1FmSQ+dGOA2U3UWWBDWoU9O4aM7BsAntBbzY7LyBbPp8TJUjJNhhfATbApn/dAJDzJuIvqMp20u8cVFnqHTcQMr1vE0CywHHFs+yiQK6+CuYC7oKcDSJ3zR+5ohP76CSOsBde2PE2zgI4yRSd24onuoX+JEdt+9/+EbJicInsa4NRdKTfZZH8X34iLxxSdq3r5o21juSTc0uP+r8BDoEXsksP0tsN4JLzlmRzKpt1b2lvsVsrf26lSoN4DfJVd1eHN8CMBtp+E9ywgSi+sxeE52dy4Juh3ndBv+n54ST0HJ9Z708HkrfiC/qo2XFOFd6pHUQDVR67x3SgQMGc6fGBDebw18Yq2LaxDfjPduF39Ng9bBQ5WaPjqyPc/7Yub6i+aDYSTzS5JNBUeycQ47zKUvVknbAuE9xxk4UdOx1EV9c2CI6wKbck3nHFhcVsDeiaM3K7pgSYrHrSCJzqPn5vNQM6uEff28icPTDgNPSdTRx/r0pGhdP4dMebL/Q2FjauwfvqjOIjyYr9/v94GwOR69GC3NaWC1jSE3c+BTt6L0EdyxjtD0T3NSBunuEWzjj7trF1eRrsuAaXCqJNjmSC33WndgZBJhE4Y9gpOCVmnFpE6+6MI8pKl0SQV8Kr9GSTLlPiIfGUwBpPf8dN4GUGFjHfJlDbXXjXGvHtsqmUmfCK2ojKMMwUbzdsAfhFn9T/U7yjw97XlwLtZlIBwkZwCKDs6WhLIBu9tgPqlB5Hp1E0DIc51h+gZEpz9FsDntX3z0jYtGHnCwaIElOIdYSqcHafbdy18+aUW6cmmyKQsJLsKXljajnJ+ofpRXAZbfQHJsr4jVqhs3mUwUWjRu/MexUUB/g6tYS5jmPnsIDCYxPwSh06UX2KGE3rNOqHazaC1Sg++qHh7VvBnOvWKHFibKrRyDPHfO2Wz1K2FKc5I7M+r3XtRrMGjdJWRtrQVr8L8m/ZcEHbwPkyMON1wILjv/9tREc2OPTN6tABdepq5MozdWrNZQNmeLIGRMZHNcb6upKlySDjBuDtvx2nGoYTw5D0XuWTyg6wVT2EzzQZ+unI0ajVAAxrd1YVOeXsztmZLpmM7z/lSmscRM4R4FKwQqaVClubtD4Aibue8cvo4DHzRLbIB8ArcChjuCZ779z1eeO34SF6ApP62XkfONk959TvO0C07+SxlR41yDt3oEbmnr6prqL3ZMcLfPBqM+Sj05xa2Z2dJxMKOAPXoubmVgRfto8+W5OZnK2mszfGr/3ar30Zx+Zrcy+jhX/Ya5UfeI2sbT527P7Ho11rBTsoEe+6W06k3cUbtKGDyW0b3b8sQ+fII13oQfNBF+N9GaTu6nqBLHttHwj2VmC8lQCAvXvVKb0bAOo/3dY+sgf4efdv4Kpr+6uPlMBzZPWpFVY3u9uSxzXn1wl5avrTAC1HGHCVrXHP0XX6ZXw5nhvfCnShHfsqcDn8B3vQbQByKw9qb9h/gQRjr2OLX4ofWxkCoK9vwzrbYEfFCIfHUhP8u3cOzsa58enrxmCTTIHjLoegz/W3TeClpZ3VK/28d4/1YzPMjYC8aheVfuwwOdhLcFNwkq6RuJBk6tKaBkLYBk4OelfvOtactGqtdgT/mHv7ITSjK9Bog1XXhrVdV+D49ufyuWVLuyeMtLleG31ny5ZtnL7cO76YYzvaVfbpwPVlOtYmTeOJVkaYV0EQWOGzPuuz3vCGykG+yk2osE87lp+w+6/vXcJH99v7p0+ZmZ0UgFk/LZOxNr6yJiBU5xrP1A7sntOb6L7+2GD0XXdqv+ZrvuZFALfzIiatcrIGlTPo4fAbqDppJUCcFZGIEUpJBgGWMRWloPCts61j2igoZ3iEn9JgSOzUaF3a7iWib52qCI7ys91nzMj5k9ncmDaJUu8YUHmhvhGOm5VYY/QpAsBameXalN33fd/3vfS3ZcwtFxGVsyZpY95r991jj2zAsbVVshLrI0d+dF55jN0gMdfGtd85KTtnQrO+DghuzMreAAAKdbSfgq8SVVLLEZny52ihJaC+48fMW+u1vlNiSojwwfrXXWytFVDyvmOaAdj8KTW/TpdG6Bn6OvaNvnuUhccgGSvBBBABJhkaynL0U/ZF+bT8zWcg5xoGCpCyLkgR+V/zXX8AtW7cIQNH6XQHb5kJDXguyJi82TjNcykLdhjBGoo6/3VkGdjNJ0AP2AIiaCBLO15SNmosSoxFtcePnDuG15yNxzY/eFBmogBK33wmf9fhZRBaxj5enoEbqLZx0RyOyWRpOV0z/Wj3aMZ2bddlcHbvjZ1jBNSSW7LS6O4ty5SFW/Zuu+ousLZrz3DRiXMq6V6ZEbqS87JrbDz0ir6J0nfjJsDI3FqXqsxZVmN6jNGXGdh1RpsGOJ7WCuEZBnn9Iy+7//iAPOw1XTabtiADO7JjOIocKPfYo2d2HF0/nbjrb1+EBfjWNw7nNe6b141LZpS+w6et2mAT/CeruOaxNwDb+IjOGg+t7Gv9Go8p+cXrAn/rh2Djjvmbf/NvvtBzdFhwWEnbDf7+s3/2z17GOxsjKymQ2ldlRl9Hk5WXCaKtn/t9NP+Df/APvtE5Mjd4RVmy3aBVZ7WCY//vmso628z1AuiyUzsWIOXw1GFo8EXFU3Vus3lkhM1otZdrNNNDNlqZ06APfudc18lqNnWNnMvU02sq0arHYQeySOePb3e/0UDCwvzd6h36m/4jWzdTex12csCJYYfdw27a0z/TSZ5jb8Mwy7o2j9bsTU43js35l3zJl7zcb+fvXEB/78MJbJ3zOQQNTnLm0dxv7DEa7H7TedMRP/ADP/AyjsnDHOvJ3Y6ZDpi+Hz3XH2srJ58w63h7z2b+kR/5kTf40bKw6d7Nx3SexxDd8tXr1Fbfkz2l0F1WJGjG8XNMx7z+w1K712RVwHX9HN238aqKxR5L1ncs3Y4PWyK71upDMgbr1K7eUmU8aX8FmIY+Gx+MdhvL7NR2V//SL/3SF504elq+svOmPzenKmkahEdT/btOrQAU+rEpNtLbb9N5+z48bm01XwLGYCcnF+ORr/qqr3qxg7NNElD4p5hM2bYlQV/wBV/wwoOTDYkHG/kWY6GnikpJQEEmQdTd13IQScLxtOBG90ZYPyYH+2/8/N3f/d1v6McxpQcqb3QvnigfTh5mw98Tp3YX3yA4MiYQ0BMpbFSfQ8e4y0RMiXIMu9vtmM1i5BFROS0FsGNlFRkzIErky/MTRc+6ZkHZ7a435i5YNukin7v/jpFJoIg4ILIhSqFFnZo9aykPUKFcSC28cuy19XMCqo0xdp8xKCFrNo4R9pw3xmvj3NoN67F8p5x3fAMFNvrgnIi8MRyetenZvHuX+RptPAcQoGzZMKVkzkarCd2u4VFK+Gf9sVPpvi8YwpHcucrBOHmjnbV/+LHri/ba/ww/firwqHNF2DhCN2PdUlwlYcAGHvKIDyCQkyOAwckTxME7Imd1CBspUxEgsiUiBsxQWHWqChoYHJlrEU4GZHK1+wKQ+PZmqSdnu7dHgeibdTdAWTOXosAN9Fyar/V4ChBf6B+jTZcAZjuPo0c2OYs738YFgis2KnMuZeoeDLC+NPLdjK4+c0o6F2ujuTLQOd/TfbKSxrZ59agrALGBuTWlvpwSwb6W+jCwMggt3wJqNcBmv+8eAL/soOBeAztkoWVOe9k7QcSVDu/c2vihZbLkWRBq5wr8iR63z0BYM17eGccbuGA/zCN+loUWbK2s4OcdW8PNMZ7jtzn75//8n7/M0R0vPgIKNABL5N21mxHS9/V382InSJt+7F6e3a3awnNCN4bxmM2xprdrA/D7xoEudK5KnTkAe5EtjpIo/NYFAtSypF1Tue8eybD7WNMlY2aTSBv86IM52nG7x64vMK58cfcAxtla65dnK2GGm6mV/cXv1TPrLycLv9Hn5LNLSmRB4ATXalkz3Y/e8EeXbVR3AJ/4U4CyFSFag5sNUjW5gI4a3QvItvx4NMa/gieuxz6ghUeLdQ1os4htbBB+0z98L9iMN6fb5sxa/20H2b0LTI2fd1wDny1fZlf3mYwJpNFh6NCss4xtqyYKsjsH+6333DjG05aT4R02mmzLAtIzljjsOtb/2sRUgmA8zcEwDkGFq8/X4CL6hy3Rh2YsOZAqQ/af0ukuR1nzCC+YYv/bR4bNgGHwr2t2nTJMUOeFvq7zyHmnF+ggzg9cVidQlSBZ2rnDjyoQVEWS02FWTr/HD1kjLJhXuaqD3dbv+IaeJmuOE6BUpquCoEE2x22/Hs9s3bXMXavdyKD5/i/Z4Kx+BsyKj+k0y3Mk2Ng7ukHGtHq+1VdsqbXAElJNWrQyozzQLPgNlvFLJldKnN8Tp9YGTVLPMpeI2OwGwAzs+U3d9jq76yn72jVtYuTh1UpmMLzNpub0idhwFPzOMUOYNYxM0GRCd6wH0TNShAVRrXlYW98oG+DdOt6u8QFqRMVrnNZco9nLAQ9K3KYaa7boJlx9+U3JlyxVnb9dV/+BVcJHoYpQKf1u1tVaIM7A2v7feSKpyj5lFe4aqzpy+03JMucbf1Dq1mvt2D7Tt4qRMWRE3ENkm+KztqMlNS2XAx4KAMxVyyG6DgRo6ZqEZu6AQZFDDgIQyBh7lhnnHnho2U2vLUtDFgqm8cH6RkGRjfLfjeByMgEGNJKZY3Act887biBYVL+7+iqPxN8tNzUPxvTUquzQgizSJyLNAkoFVE8PHJeFGc0FsiYLMjsF1c1GuE5LkNGRoiaDDA2j3yz5ftd/QTfVBcYnu21JAx7ZMSoeNi8yoXjNdb0KGDkaNTKtSBCUMaeA1e6tXKnrrGXU6ihzppWsyrqSl1bRyA5xCprFVj0AfHKO7eRJ3jn0AEHXApF7OqsVFg2CrdFtApGTQ6WoeKlBIMacHpsOm778e3/v773oMk6Rfhr37il7gO858/hOAJhuKH1k1Tj99lhQqYQeNghc/5YtUnasegVd2Cg6Dw33bgOpnbtqAvKz/ggY7FhZMLp9jY0iI/S5YJnswo4fvfA9/qEzlU9bVqTSC//seGWR9MxkYvy3fo2Hm8XUlODZsKUgCv2tjS5IbKaYLiTrArpkgbwJqHeZSIFieYkMNzjpHg1qNjCOvrsmfOR/eqnBzTV82+v5XVD42ml67wJ1mAn99OXSvMEdY2Jr8L09T+bILuhuScPmXzZtx00n6tv+p+84tZwQjrfEh9JKurzzq490+3VWGrShc+lSgbV9Vsmx8dND+jp9qLwZLl2rfRK8wmvN1gow77gd0+AIXdEmAEk2ixU5hLW/+JUuxqsqVPRXEL9B7b1vjvCL4CRad9MnGfE6tcUA5qVJm/s0D/eHuYxN1d6uv37RxaP3eMXykPHEdBwsO57CmwJanMCuY67Nc9+LWWrv6UP0ozf4BnUedxzdgm7s0wJ7t5qneovO0SdBrv/6Nt7BNxxYyTjOp+URC+6TTTRnF9CnlSZ0fDG+xNTktZi/Sa1WRsBQnXPnCTJKctpB+T1xakUTKBCDFSnlMAFkFD4nhNIHohbtHqPJ4lGWlJFoBHCn7HT9WERv5RmblEWlZ8gXXRZl1LcRZBkI2WOO+KJ968syhns5fi9lyfvfMxwBGwupMa4ssEducA4A1r2UcSjbM6ZN2sDJmG/X3GclvdqYcNdT5tmsHCW+xvkzPgaf4hyTrrTHJjWyQEq5V6Zhd2rXEZio0w6Ark+bg41jIEUt//6za9r6sLKO/QeM7Fil36OHDDBGFvAAtGy0ZG1BjezG7Fj0ZXhsHsHho5xa6jfaykSYmzWKGJ2rvDjLQP9+Gx05gLsnxUlRKpVSHrLfR5PxK/6Xge36Vc4bhbLrE/beg+IHwikPBqby0HWCgi5oOTArg2LXVRlbPLR+DjjutWY3SoGZOjM1Yo0OX/CA5vpY5373VMqOH6zdYHhHW+DfDqSUPLnYtdYnYH/js16TPrLzX0soa2SBR/TjKDFU5EZQyaY4NqsQSABKZEj22vmTQXJr2cTGQLaU4u2Y9XdyO3miM0U06xyhvX62LRviWutj9Z6Akyj7fgeK8T9jvX7s2qLd9CO60Ov4WcCDk7H7kAsOkCAWYzzDOxAC7K25JvkofwFNMnRKqWQGBbwEQfE43tw7mcZrdazQFv/vGpPn7/qu73qzy/DszlqdWkChjq/nceMzDsL6O1ps/PTNGt60FATvsAmCkyLjHGaOL9qu75wTG/opXZ68tfxvbbQYHZb9ALbHf3RKg0D0q+CyCP6utTJjfKDtHGWbMrHVVaqEgPhdmzM7u0ZPDgeo6GgT7PO4CVlRTtcNbG9O9KOb6rV6ZX0TzLlZHGOn0xp4rV4RIKHLC/IasLarvsCmOd08K2Nc/+gMAbLr1LJfsNqOs+twg7LX7jXLCvdodG3X67snPXl5F71Gvy0xWpnlnFrj3/VXRjlsNx7bYx93fXPXjNv4xuZtrS5QBdVHPepP1wziD2Msvz9VcnEyLNOZ3PcpEqrgRsPpAIGE6TBBwgZydr3hPmv17bPg2aG7z+TTPEy+a1PaJDU2v/AyzEPfNvhQR71lwYKpnOzREt97TNps6XQ/R8RmgeadXLMJvVedo1YbtbyfY9jgLL29/vQRX2RiwTg4ZP3sRp3T9dMP6zNbYM7WN3aQoyjo1wAUvr78YAySKDuPXOEvdKmsNcGxMd2gKp0kOwqXCvDDzObyP71tl5UJw0PjGbrNsk8BJUsJLSsTXOwypu4vwCk17r3DuP2tGECyqUHABhfxHv9mczG5no9ot+T3xKltxFo0aoxv84m1dUTUsYwoE0VJUKrWF6wp2fF4C4YRmAbc91p9vM2TNnDre3j8zWZsUtcva8YQ2XMXdw5AOMLKHu64lVeKdANDIpYcyh0HrACrNap9ZppshJLf63QxZpqIJKO6tuszsBwXDoBzMaNr7v+tOZFJVTINcFp/s5eMHQedYrFh1u45hSbLMR6Y0ACOFM3ouPK8blhDYa3vMwYCIoICADXlu2N2zfHEFDvliPEpIOusCL6SY0LCsIiGyrY2E6Q184YPW04mg9yyEkC95WXjSXQY/wuk7D+Pw9i9umEBxegaVQKitSoMmj3G9/igmTvOFENonj0uiXKRkd7YBIhkKQDTGWmAZsej38YIKDbKz4A2WtcMp4ZnbiBBFFYAhoEc/Sh0EUrRQhmXZr96Tw6wyPfGoUJEQK0lMxc44I9mMuoUKcflDImeAxs2E9s1OITWouA54JfjjEdWWro2Hpg+m16Tradzq0/ME/4qze3U7R4cWMYPiGnGZU15LnAMGAOJjcaaSwGvPuKMrkCzRtjpA/Ow8zklzVy5Hzmy9IC8sytktPO2JsjQqgLBCzRAE/RbBN2cAQWcxn2enG8sA+J1VvGO5Th0lZ2XyS1+0V8gsxtrcBYFhNkiAVO86DsZZMeNB+gQdNaPy/vN1m1M42H2s4EUgd/aKFF59kL2SnaH7uQo7HibC9KDgChwripo9FZayA4JarXhRWO+QTbATJ9lq7oDMn7AT2iDF+kuLzYPQMfLLdkVTCrd68g7hw1rJZn7SyzY66Ol0/pQ3Vunus4MfVvaFXi2Cq9ZZTzAHmps3eZGQoQtsh5/zuzkZAHG9dtjEWVpBP6+4Ru+4Y2+2rz7ffdQ/aGSwLw2UVIa1G7TTWTe78bcdah3bOTDXAtqkrFiArbRshG6js5Gd9eyxGDjFbTYC7/TFbeZF7QQIMBvo5P9YQT9ypuCYaOJTLkKGX1bvwSHYRsbdtm3gtwLQFSn1OaXnrW7zfA7ln4SyDTn6CrYsGDIfAMbWLm2DD6ar6+cNHgBL8N55gX/s+GXF/AhLCKI59WKwQbum7mnp+F6Nta1y4s36USn/863A9OqlqzFhtc5l3wyQTH0VK1kDhucI88Cqa2cRC8+Up1WeqQVGk3O+d/vEm0q2uokvydOLcAq+m3huHp2O9oaDCIqYVq7ioBCAXwIvmgAA86BGaNSgjYLUvaG0VsugqEXxVl2cf3oIvEJJqdWRhGYEQGljDEwhaEBtSIvBV49vqWCMhsmvwZMwwSYrMaq0UVCZ/OJlneZC4vpZSj7CIuWsRiHUkaA0IZH1hgLXhDcZjkwvwc0cxbwAyUo+1OD2LUTwKK5bKRcGboMqaCBsrALEBk1ZVsE9jb0xKNexspgFiR27YRoHKdFWb3773/Cakzmj2LgsOExhs5azJaDoHl5odk6vGVNMz7b3DjXHDuHfOx3Tu3O33iacTOHaH5LcG9UzndjantSXC2nVdoFGLdMpo4IgN9AT0EZAzZakhebpjSL0NcFwa65hqbksRv50JN4pI6glzHUEFqz36zgPtsRc32XoSDDFwQwfhdsa2RKqXlL86tT6hC4Njmm0+mPGus60gXlfqszwIH34vDuRV/WENIZ15Gu3tdXxtk8tfTwgtXOd2lpPvbZko4+v9R6dzZrvMmB7+7HaOs319YXwQljcszO6bKOVl2wTXUwGiBqQKd6lO2jC291Qvm+Or7r7cwf0IJn99mcqB5B/+pYzjr7KTBlzbBrTd5b1tndPC2hGfYQqL26pLzvM1o4lqy1NK60bEC1dqOllfdelaPaEZUJ1hvLCFVX3cBa7WQdZPod6C6fXcfhBr0qn3ikurv2pM7P1ZEXt+iD4xvYExiY/anjMduico5jK3u9AJ6djTls1e3kutnG4hvydXV5ZcLclg4F9aXltQ8cMTa8vOU+HLs6pY5vQBI+o2clE1T0Cd4VH2h0VEt04WL8AJM2m8rx9vv6xCbayRsPSXQIprgXHobfjANOdF20ufQsL/al4W+/0ytklg6BtdaKke+aZEEFOrKBucsHDYY+0bwZ2N2z+o8evxitur/yWvvlHPrAHNDzMv6t0lvTT9WfNm/i0wiOmmd0Z7fWnnCO91ZH9fcrJ/rueniEL1cbggYql/rIz7u04V1zakUrOSeiwGMiO6mKHOx3j1KQQboAvAJvgLb7Nwief9fYiF5t8DNk24FN+eCIwKkt4Nn9v+IrvuLNhhrLWioLY9wxO8bqmlKEraGrMeBoUR4AH0YDxFtixAEHCJQslykECAiJzGzLp5Ql7TzPErZ4XwmszZWaQa8hRe8GLnaM3Uf3ecELYMLC8L2shSGkO2dGSTbcTnm7r+3291LmJMuG7tagAojAjKxHgSjB9LtMvMg3hddIsmjUzhuNrvEndOhc5x3/rgGH3eGYjOw1XgZaAN6e34oC92Bw9GHnUWDWPQqGtDHaBaQUiteO8eio0ahrxJWuNEtMjsmPPilLlU3Dn+M9PCRz23LNgjA8ppWmVabKc0Vpd8+d5/ErwE3Xivc+BYoi+4wn+dw5giB1FPSjDqFrCS7dxiD1cQzWUKqSkPW3o+COt56V3jLOgsm9Vj4la82xf4qA15AyZnVC10YPFQseoWFdWB10kd2bNZLB5JRwdOsEo8ETIO7ax2bd6X1jaWYLz7if9wsCqssdfzO7gGjLEM2z6iF8yQ6snwJ1ntnajatUDK16SAS8jSw7/pa0ooNxAQlsi0wFQFNHtDbVvWp3yTge3/VlYdi2Bm4Fiq7DZj2/QHXXoDW7bx4biGjf1tgg8qTSafKAdvvPI/PQYHZk15Y1UoovSFN9XtksD+Bp/SnAxa/VYZUf84aOrWxo0OYJuHfpj6w1ndXgdMFyA1MNanCOyOE+q6Z6CpJrV8eZm55T+1HeaAamfbo2CR9ZurBmY5phiVU0WP4gQ6u0dkC8jo2qGhVS5fOrb9gqdqNzbKwNrDYgbUzkVHAd/64VoznOf64L8+qfDe7YDn3tkge/se8NFLKplsxYOnCb+wtOmj92El3wC7u0PnbzL8c126+1QpFzxE7vOh7FJSBZO12dd21WG17Eaw3I0NvF0sa8xiaa/85vgw2uqSqjY+VsVkfhncvnd/2p+eJAKpMu/iNjTcLJsKpCacCtga7iAkH/0uZ/fbucenK0yro+G71OLd3mcVkq76zd5S8Yj7mmH2tjBcTZdPaq9uRiGTi0Wd+dNz0++ecfVN+8604thp2CsdvtCCLqrAZdOat1N8DyWh2/24B7wsioI8gYB0CcctsznzyfsgLQrEgdnSnORQHX1v+dv/8ZgT78uAbuggQEvs45pgH6Gz2yhtYmUJhcH9f60PY3E/Q2rZRwyJy0zp9xbtYHUGrkWallgSrQSCHUQLSkzffN6cqA95ihXcsGI7tnlS+wTigoWWtPBEEIhUggPqCIvFoih+blJYCQ8NcYFwCby/0+Hl05z40IUhaUmLkhoGt95I5+NEq6d2uy6lgUyBeMNwuhtGo8M+FmEKwPNS81rBcsNmMlCluHbMcxQhRwDQ0QUqdAxku/ySYg2sxiM9N1SAp4nxqQ4TM61NB2R8kCMcejrYoCdOHU+p8j67cCIr/dKP0F614tHdoxAIfMsf7dyCxjyUFxnKzc+qOkyH0G4BmzZpbrfGv9rSW56Lt+elSG9YbK4hk2c98gXjMfzSA1G77r1+FrME6pZEF+Mxday7FV0zCwdUzw1T6zB3UWfSaf+KbOqzEZR3WL7FrB4ZoSPfy9aqCdswCqtaddD1QwRSegQ6PVzVoYc580sCaLRAfV+dB3+tJxXYdms0a7xJbPC85dX/8KpBYImU2dLVVSTZd191/80cxFW4MRbFXL4t1vzbIOcmA5Rve2uJH98n5louPFK+6DRzgF+u6Zud0MrNmxylrl3Nhulq5z7X639Pipv+bD8WtoACg+ObVNJFTnkh+vGzBu8KyAuwGjNksJHEuW7b+y+d0jVjg+fe6rXa/diw3oPi2Cdy3LFPTZqxmoJxvvfPNkLlsy3+VL1UnwjQqlHdPlCg2SySK3YmONHrnBvgYqq9u7AWUd89vwP76sQ9G147CqZ1T3WIGm8oXGuWG3ahvZqY1Nxk8A2RyxuZd/YIvLTw1OoxWnrJjGtTiJT1UU+IDTRx7hBvpOGTbdb7wCWW1dblF80cojfoksboOGzTRXRwgKwN13WQheRfMd+5/ffrLHXgKsbG4bLLV7TH97zFkrHXaM5WXm5y5zMif6X76rrmlwwrx3OckCxbL7s6Fs+FMl5bvq1MoK2kSC02pHUcyK6GUmoKMKpg6GzteZ7AshJ4RzpDdhu69nMbVMqOBrrQwzENJH6AApd80vB+X2WeS7Dm4NcqNujFujX40+Y3TZIkx7F0VTEsrwWsaBbu5Lsep7694bIWqUtkqwUS3rrihE4EopjE2fxoS7Fmd19/IoFcJZ5a78CLjc65ZO1KFFpzoEhKQR1P7eTAclrjypfGWTntKcYrkZh7suRP8prmaE0VNwowEWfakjYG5kJDkXAJvf9aXgovN/Ay11/mskq2gYzfLOXRdxQUGVVEFQeaX9qSJvtLQ8XrCy1k0ayFuzi+a+kW8AA827Zp1+ck6zgkrHmtlqu6Dy0hd/AAF4YP2pXDUgVrBbOpITx3Di6couGaiBbR+rf2sYbkYCgGpgozzTOfHZeOgDOs3Y8AUntgZw5zBmskki+b1fgzLoRgcqQWzgq/PCmS7NfX5yqioz+o0fyuflRX03D8Yu22wXzrvEQT87b/RI50df9L86At+Rgfa7dqbOs3uqAgBQylN1oGqv8aLf8MbOtymLzQD93+BZ9TRn90me2FzjaUYMvXbPVvgIAOKdJ12F7mjZ/570Z8+vfNceyeJ1bM3uVE+ak8oVnul8o0EBb0H5dYDxS38z53BFx3Gd4o7vOrX66dhLV0Gu6oU7dvoYj5d+nFQguYFPvxcP6GODJGhe+jT40QDZtTf4U786xgb2ay+qmy4Pdc7KZ9VNxY76R1avzb62RZ/tbyJwdEG/vlyMUT6ESekDzhid0MBubXz1yK0gqO5yPty1/1t5WR3mNzYF7WvbO2deHNcrz70H/dGM9/U7mslmH+o83/7eue/9at/ri+DHJppcj9yhlQQTvu5+CWyka5X3zdd/C47hGHaOKgvkzHFdFqhvdAp8xdfqdcxJdUDv96Q/0LFYGS0kSF7TK++6UztHxVo02+h7pEEVHeC5dktcrwFpptD6OAzeGuxdb/fbutg/9sf+2Isz5fl6F/w2YqA/m7RttLLjtuPenDMbEuhrSy0pKRPTiOj+c4x7EnRMYJKAfBNfgGcTClEZUa3LgCIr1rJS6EoFKBSbCigzuKCPwNq8yvVF1ZuxtQEWkNgNljYv28Xygx/84Mtr9x3AWRZ3ZUU/8RM/8VIqYz7RAY09o7jK4hqCGoM6CuhPiBlx11+zYQY+ouRlXPGkqoO9tGvQrxMIBKITfsE7XYfDgVeO291k8c2aKKxHdniGrQ2R8Fb5scAQD1SRVplQ0jXg12ltpNQ6p5Y3NsBEeRt7NznBLw1w1TAAJo3+GlOjyyoXXOPqAusBzQElrW83iEF2r27wqnxfR+7JyJY3KGHG3HkNYtRA3oBAgaR+mFe7CrpnS3gKthmhp8BQx6QxmvpK/i8QKi8BlnUq0b+60OfOnzm0/4LdED1Xssb/lr1ykD0+TKaMjr0OEl4p0EIjsuO6+LN0rUPo+BvE9F5dzfHuGrI60fpZ2aBzmyXq9dGljvWubadLOvApgFQ+BlwtkbDBSGWtNsGrDkGDKztnm2a5Vscsw4WPjZ1TXZ41Z10a07npfAjyyOJa1kLP1gFtu3Sqg/Ik19fpq741LvamDpb/r96p81teKNDueQKi1R/msIHx6jG8gvbOK/2vo6NfdQQvb1/nqk4eG+f6bdZj7pjJLPrIbAHJpXv1jXvrW8F+g8bVz93PhS5/Cv6jcZ3Q6rjitNqwW/FFpl4LhHdtq/HpX/VNj7nOcPm1ZenFzeWpJiluIMZeJ45dH2TzRsuLo2vzOx83AOmdnpVBrHN99ZnmOvqstZ/GcHGQZUcN3pVnzVX1cO1Sg4H0bgPGDaytPVWZ3MDYpZOERPWH8+7SHTyuMhEWEKBHX1jNnBnLf307EwxHFh+ge+2Bqoids/sNB+urZVLlOfjK/MINDcKQO3RoQKQ6EF/BFOa0j6ErH7wnTq3y33Vqtdob4Ec/+tE3JRgeNmyr7EZTrmEoYKkxF2kAkgHoHfuDP/iDb9YxrdzJOtrugttMq/MI6vppB9dv+ZZveev7v//7X5zkr/3ar30pY1YSR+ERSFnFll0WzFYZGQ/HqSCHwQasxkxz0Ofcbcc2zHKd2kZjGASgrs/uKhjaqzvqcbg4TiJTriv7sWsox1ZqBSDu++i/9+1GuNfWaM7xWvmARxRtLMCLNdJ7iagLVlD6u14dmAoggccrFQCfjbdCaw4YToK58fQxLxvPygR/+qd/+n9QSE8ROY5KM9rdFIAiqzNLFlpas2YdiuenKb0aDcfjtnlnBCvcgg7NiNSR6Ppp40GDOiVrQISS6vWv5dVdS9HyLoANj6Mdw3qdSXODPpe2+L/XraIUUd35o5GHhlf5O7dGqXS5UWMGBB2anUP3gqaC00Yeyzf6Lgux5hmF1yFE+wIb8tzKDuMxt1ffMDIFRRfYXNBpwxUVANb51lmkg42jm/48OWs1XqULfiEXNlkajZTvGvvNTFXvLiPYXfJtZlLeQ9fK4pMjQIacqw8XfDaz0TkqD+xagiyNOj/pc9esAwKQdM1rg1MNChgXegLgxlGHpOVyZI/DM4eUjW6285bIN9PBJipvs5/Agpg73m6bxlA7rw9KFvFQnbI6Xg1CVU8IVnCQdl8OYB3XtmaCiilazdB7NsvX7EydR+f3epXnJ0fJNfSlc0y+zUF38r6YQ5/1v5lqvI9X9JOtpPc67joapV8BaeW59GiFTxv9pX+tQqIjO461roHt/RrM5sjUOdl12IFWK1Q3Okd1ljlhN4wXn3n8F1mqraWfBTEbCMBDzWChD+znPrCqz86Dgxqsuw4Bfdfm+e361XFWhlph0n0Qbob2OqE3oFcaNyDeKhn2iJPbhjfto1LHs0HIffc0gekPay7tTt4KKTJa3r10rn0YLVQlwjINrJmL2r42jzFC29KodrEYp86s9ai+Vx58dh6asDVrkk2Cvf/3t9fqc07hZDZDVWEDDZ44sGTfls7I3Eq4wdMNgF0823H3cwOudLQ5kh0WkBr/dY1tMdl75tTuhtsYyEOXBywaWVLGSdHXUSnYugYDwcsAFPyuOcfPc01Xcqw8s6nqK3g+t6yQYl//l7XdNfd4oK/7uq97cSB2fZtbiWJzBFoaQVFf8Nv3RtQqUIRmGc05k/ttOzg3AqNRMvfeZSYZFgqjRq1lZV1YTukBGYBBo21AFKOi/n3n7FmG1tJeY8qRnLDJxvoPDfrcxN2rtfrXiHZ9cst5GwWsgdcaUWborqPimndNL4GqQn8NqMsa6GujtmShEWTNTp3jY5syVSH1edDXuBVM6HMjplUq7XOjw2ShDmGd8waamrmqk/iaESyga/TaWK5DqNEV+Lj3wEecLGs+VCu45s3sVLkWBJY+dUjvfwUTdx7umIzBvO+8yQm6Wh/I0LRvnbdmbFuGfR318mv55AKh/qZ5Vl3XhDEwF6TWsb9ZhM7vPb7HjB4qUya7ncc6kNchbwZaae+Mt51Tdy0lqU/guvagDmABcb+Xx8sf5dfagCfntcHcy+cNMuJPfe9mROXl8rb+09M3qHXlqXzSsdD1eM19CiavziGXMjzWY3necKuJ3PtG2p/morS5c14a9Zz2jWw1g3TbzRhduS4NGwjoe68NEDezeMfyNDdPwbHqqvKI8Xs3X7dMk8x0TVwDEpeXm81b6/U6xqe++73y2f8u7/X9KQsGKF/cVixYMKzVUdjvzY67l/51qdPVE7VXvWbp0P/u+cWAlb/qNO94lWP81IfyaDPDlcHes43+EDCos2mOSzO80Oqp64xcm13+QmMyXqfs8r/+wBfoCPNWPjveBgk5ZIKxMC1Hunb12kljagCp+KByXZm/+uY1mtex7Zw3W4xGTcpwytEQjZyvGgFt9lmQhjxx7j8lSxWvLSiGaJKlCZb5c91jofc3f2h2S9wrF5dP0LB8sd9h7/3PObc8Bu6sI/2uO7XW4OzZrXPC5pTsXbR5L4S9US8TW5BcJdiIiHOkxGcs5wCuzRndbsc2FpA5arvAu6V6NtsYGF5GcQ76hz/84ZfdkAeWPLKk5c87V2ZUZPuCx2tITUTLMk2wtVbL0oqszFFf9qIbCWFE/alS9L1KukAQDWWJZbmaxcJgypmbser8YTxZx91zu7Cqxb/AB90pvBq2MrTNdPYdeAewatABV1m1ZhApBv+Vp8oHaE9Q0bjrEjRKpQBXP+/1eh4+B3bQndK+Aq7sx+Od7CqqnL7ZgrbOd5VfFU9pXqXeCgYGrpsZiOzW8aKwG7io0+WaN8vZ+z+BpKex9T90LOCuQVJKpQwGXzw51TVMwHyBWvVEDV35+jWj5hrXIVqzi3T5tzx8eQfPd9zdEMqxF2jezN3VRTU82gJqq6RoKX11SsfWKHHl5WkuyViPwTMLck2P7Bp9TmPHcrNn5WeBjNFyNsGu4/jijvE61gUYNyPyBIKuHJUnzHkdKq1ZuKfAGH0gq2O5BF1RHXxB9+3fBd7XLqFr566y5Np1CK3vcp3aFWVo+8/zZDeOjWHO7fhpgZzrOJY/Sgv9vuC/xz7xV4+np5rxv+3qxid96VUbXECJPo5rdr8yVFkyxieHrJ+7nKn9Ih/NQFYnPR3b+e09HS+orY9PVR03CHJpyfHG6080v325m8xcp04/yGXno/ZOq7N5g5itCCodro68clqZN9br0JZOVy7v/F4+Ml/llzrkdfKf7M472VB25m6Y2KxaeaS81fv6rzSrXW4Cg2PabGMD7mhBLhowa9bySe6vPWhFIt3pMTR9lNAT/rmOXTfHEyhCn86Xvr8WHC6+c565Nb5i5AYZLCFEL/1gA5rx9u6eDVpZVvJ/e/upH3y1O/bKevFslwTMqbV0AM1rI9mKqyvo4VZPNijrfpXdBgRUjzZBh2bvmVPbx2csu7nyo2//9m9/2XRpQMXztGTzuvYO4KoCrAPEoMqSru39Yx/72Ms6zdV6f/mXf/lL6fCiwzYa6MAveMMEIgADcNZ27L85yHNkl7H9W3/rb7311V/91W994zd+44vDZoe+TZCy6r08K0zEwuRUEICCGiLl2bvnmGZ92ZrTOdMeTm4yLwgAmpRoYJ69cwQ5IS2LaVa2oHfXmUOlv3fn12Y9BkJ93kPSPfh8c4D+ghpre7fLnkcL1bjXONlMhaIBcncs+q3/QHAzhyI6nDBZJv8rFTEvIn2EEX0sjF8wQ7ulYtcArN2SiDoi+tQ+c3ZbAmLedu/XooOvORg1iqNVSzC1J+DOGOgH3t41PKpE1M/xvS6lX8fW92ZnOJ7OV/rbDEz5vM7BgmVzBO2I22xeDSSnd/yKJhzF6pcCdfcytjq55OU6wlXevxHHvGCTPLRksgCjAajqkjpYDYRUlnzGO9arNgNTwHf7ulKjzfXWxlubUzoDHWhX+ev66/LbUyst6eAdu3mrY1vQV/BXWdzvANvkRunXgqtkvXNFRgo+9bVO3AVTT2AVT7c/ggNrHjm2BpQAB23uOf7ea9dcKbBgBxm7m7a0r0+O4nUAHCMoaYdrMrh7l49Vy7hG6UK20Kw2W8B0dpp9nfwqab6tNvqCRONQSeK3jrdBXePrZouv8eH+ny2xa3L1xc5RpWD+2h+fq+fxQuXxtYASXr4B0y6ZQP8GCt3X0yTWL3q28lcnU5+Lv3zv/f2Ot53XMlDj6tjgDzTvMZcnNXa34B+YLe/WKdE/Nk9iwe+1B52bAug601e3XH3e+SKD1bvsxY4tcG81HGxRXi0OuXrNtWpXa6NvH9mwG4DT0K9LBjafdzlfdfIdo37Ufjco39/1ScBWkJEj14woOwJboFcTCxcHXUxfO9+gunWY9itpQB6dzE1pXKf26X61fb1/2w2K+U1FEp59sv/V+WjSQA87KwhF7gRC9ppPYvngZ779tAw8ePU73S45R+8oVd49t6R0dnr/zReq7NjxvbJRvQDDaQ0UjcYyyHX2d4z1v90rBV7u8rb3ZKOovbaGkpH8u3/37771zd/8zS+RWc8fIygXoFfRaAVlgP+YYQObs7wJ26BW7jpHyvqrbghz+1iFAfgVGHCITNQm9Ou//utf/l/Wdvec4fNoIg6jNaeYssCukSxjphysA1gfPA9y733maEFjoxSUFwGw46V7KB2ss1OGQxPCXSenwkvAZXDrYBv7AItdpzGhOazh2zXmmGx8AgqNVt15Av7qvHStGWVSIAPAtDSZU7uXXZivUwi4UEwM6wBpebJ9fIo4NbMB3OClu76jAZZb7tesx83e6YPx9t1nfSz/dV5a1t+gkuNaprK+NyPf4JL7tWS2NCiI6usJYBZA3HHi6T437mZBGk2951r3UTm9TiD+1xcGzr0qczcaeXVXx3fn6CkyWZ6+IPAeU6e2Ru+JjqVl+/P0u2Yn+V/8xV980d/TRXf85ePqqEbj26+bsXG9tdmHRtntFNwyWnNHD10A0XnYRoErQV6/5lBtDAW51wGka+qo3cxdnd5mfQqOb2WApQvkbcfeEmKt5XEeIcdgNwNy5ah8d4MmTxkJx62Po7usvGfndh0op6nPPbaMorTUulTBHO83+mOv8ZR1b7eap319mt/Sok5GdZjx2wdjv6//zXTctmMAagBrtKk9peMqfw0IXtl8krWnQNTd9ElQvrx1yyE7r/vMES8oLTDc9/Jigzk3uODaT444uju3gN5cNHBCHz/pM/J+aWgumwyo80BXwx8Nbj21i7vITB0Ec1G9UBuHF68T7/p9OV5AufN4x1/ex5/le2N0n9fshnm+TnibzJ+x70Um8UF1Ss+/96wuKq/2/vreV6tNmp3vtfW9fEEm4TjtyfaWt/RHH2s7ugN4sXGznJX/HctpLLa62PP2o7y/zypMJTg65mKT6jL/FcORRTZFvwSo5iPNhk93TId/xmd8xq/bnLXBmc4nHhsNPNZv19t1ZlPnx81e7POwvD1BaguesGllq7a3vliDr/ijdLavEad9duQpOPquOLU6JrU9Q7ny3TmBi8wibEGD8wqIL9g1YTZH6HMTd5y1O4xuy4nbrgHUh8u0a5hdf1aKvKzkJnIGuYq1BqfOlUyhiEf7Q0jLRBZez5BunJ672OjNVXhVHqJQayJUHMGOvcb5GmXXvErjSVkCZruOtdLWIncXPXSuc7GxzakdX5jfGrjODcew9GrpbYFGnZQKBIGsoXVthp/S6NpjNOrOydqNzpZ+BTiOpSRqEAuuO2+UTBVuj6uC6Pfb7u/laf1Dtyqc66wLLDDSDRaUnhcs1qi0/PgC7EuH22880YxpebJKugaudPZq9qL8cmXK52bQvZzfuWzfe53272l+egyaPR3XYxrhxIOVY8dX1z05NrcPvffmeE7ODFczIF2Hd4Fs1wMVFN556jhcZzq9ctJdgm9/Ow9XL7n+jK1N2DYGlUQF5de4lpbNkNz5q2NSQGApyr2GucBHAlvXIW3gUdS7/F/5ufzVvrW/ndfyKFAnSGxDkuuoCiShHx32Gr9WPnoNj1HaPTcfdPjm6UkGC3TufzeQdefH/y1/tW9BAejlK1mcXU9gvCV+1RkF4q8B66vD6gz6X1C4z7ZtkL0O0eWH8gB7b+f862hyal3vYp/XgnIdg75zUq/ubVbpyTG8tLm28EnWyq9PuvZiC32/er+0fFpm02tfXX71RWW3DuCTQ1caV/f4reMvX78WWLg2+tqOO942AZTqYAEVuuuWsJemlzeuw/g0v+WLYljB++4J8YQNyt93d+be64659+/c47OrW0rP24/rfPXVxNUTDqtzigay1l0b2nu9Fqip43153n3w42TdkzuWaLQ/y29PcqH0LR9XHlsRNB06zL6+L1A8365LFy+9bv9rb4tNOofwVmWkwfL9jhc46k9BynfFqaVQ7UC8yP4e5/Od3/mdL8T8yq/8yjdrLUWfEVAEp0xIYc3YevbpdqE1eCWIu153rG0ks5H3MkZBOGfZ5PYYzuKuvxK2jWdrXdeP/beM7RhmWYD951E4a11HsN9qTOvQz1nujl4bh8xg1yE8re90PREM9Gy5sNKBCgGnuwJZxtq1uo6wIA29dv6O2fyMwbfT8Zd92Ze9lIBf51RpFNqMVmPIZaU//vGPvwlWjI4tRWo0uS+Ao2OqwhRIkOVUrtDxU2Ai+ZxzfEf51DChUenVV6NeVfjGcfm+L8fWQO69QPP2gXK+DkSdsOusFAAp0SEPeLUKxbk29xpvijYKZtTgPyl5tGgQ50mplfa3mVMVEjcKe+em1zWmrh9qKXJBQQ0TpS5rSJ80WFG69lp+u/S/433N2XT/2y4flNaAKR7vfyo+nuhasKep/JhRFKnluNXheM2p1W6A5gY66KLpEH3fPWxO0Z3YNXNBdgvAaqCns2c3tvvu2gygZ5G3fxeAdW6Nsbyij+S1ZfaWQygtsyP3nHbr4Zt5Kc3r1LI9e7fTaoNxT87ek2PXMfifTp5zaSMS/RJk2O/63sqI6ij8dh1nDlQ3HOkeCXZWtsa269cqG0/gjR6pDik92D4ZS2OAT6orb1t/Nk8y0wIQ3WSqztcTkO+rwPmuA4MJ1qdhAHM9TIMPW7qKJ1sh1XGw9y2bxGf40f4TcAbebdn8bXWk2SL8X91xA2gXqF+au14BdKtOXnO02fpeh90CrAuaXbubUBn3XdtpTqpDWkqssQvFX7UJxSJ9FA6ate/VPdXdLfU3D8UBxYKVCTqleqaN7MOq073NJhcblOYNoLiO+X/a36OBiH43ZtjUEx4sNSnPsVvsBFuwezXLytF5Smbpq+PK101WvFPmtdjobkD6VNbc1ue74pXpmWacL4Z8co47jnuOPuHr9UUCjgM4n+zTsgmb/tzKs1ttx2YJbK8Sc21jmK9nDpZYrK66uLk6oDyPpxxbee76WaXr04+bt/HMnkqzJ91sqeZ74tQqL2pmbK9tAT2l/aEPfeitH/uxH3vJ0A1cOEcG7So3Cn+Tg0ADKY147Fpd50aJDAQgli25TX6jRmrNEU/ZG0F1/I6x5fyIuPEo2Vp6H3N0zUuBjr5d8Amk6z+h5eQSpu7uV0apwyzK2w2fCjaAS0xVZVnG2lg9FH3fe++d43Euu9bGPvCzce95tAOMBUeu1yCBR8DsHgt0DDTvOnuNL8x9ldPNTtwoM0UgS1JHhuJRQQA4uN760bI/QuR6dcYrkFW8T1E+/SrIWNPXG2nt6871kwPovaDCPF4Q23luv2wcQJlVUa61hJDCbeZ255eva8zJTceMNgCXPuMxfS8gK597xppgBdoIsJC7G3jQP45GeaQ0VRrVDYaM82ZualA7F08Olnlpq5PX9pqiL+3KE5d3Os+9ZsuDb9Dg8krnfO8MMyDUqK73G3Brf55KuejEyb/lAHTJDLC1Mve5dDtvgUTAbzqYvpwjIggqGzBZX8BtjpTyWhUiBbGdz4JDvFjZBgxafUBeGnyz0+/OmXMtUl47cPm8DpF56pohgTeyxSm8Qd2bSVaKO3rNdnWdqet1naUxF6zX4XgK3tAFNxgL9HOQFwze/RbU3HELhKq0uus1tTqVlT80tK9ENwZrkNk8PgHP8qMnNtjMaq2bJN5KjRtM0KdmTkq/OjCjzfh1c8LxalWSe5JBZd/mpw5/HW5zouLBnIz/ySqeMZ91mm6gtGNoa0C8MlRecf3bzAO7Uj3h/G6OVVpWTp+qVhp0aZlrnV7Xa/VU8UnHLdGAx3bsAvNo4DnzjocJ16aLuo9JMei12zc7f53pnXurxmqvq5tbQlu+ZAM9w/kmcFppUl6vw2LctWFXJzzJQ+dbcLrL7/S58tT5EYyBka+Oqt5rX8jpld2LMS8uuE5eeb56p8Hca1s5ZxIAElBo4f/qfTxxrwXjt0y8mVt0mT6Zw7nrzpbys/7bqaJohnx8aszFNCo/3EO2dvxvj6QFR2VOa4vQiNPNvjV73crEzg1M170cfPZ0m+GAyZqNgt91p7YLvqvMRgBR2xGa4hihGHlMhamVGTQCASQY+F7WbmKQZiwJISEw4d10aZPfzQf0+YIV/WAkgN015cIzGGsFPC0nLcjGmDWIBTkYgTK/UQ+NwD0ZUa3OQh2x3b8O21WOvjf7WWdkn20sMuBojSyjiEmbldZnfZkTO/AgQGATgz6D9AlE1Wm5v12lpO8tdezub6L6XSfs2pzaW2rWObsgtMrxKsnS9xqEp3YV3Z2rgqrS4ylq2t8peOsS7g589753LAXMPaa8ch2Rp3GZo6fW381fFeZrNKIsnwIDBbTl8QLeblaBPkpwZBI6pqd79fNrPHMBS/mk171z8vS9Rv21Pl2H9tKtfL823UrWgbnyUtt1cG5peGnlmF1X2StHjV7yKLaC3cqLQEx3S+XACoaSjf0+J2rRXBnhp02vLl07HwVwHVPPL813z+nC6TegxTxVZvCbVsDUeapTUbvgHA5pnQI0QUeAtQ5tq0j2Wp+r99nk8tU+t9Ts8i05umAdWDW/+7x+bD7W952zLEDXvd69FtzPPfq4teskwSOXvy+fd07XLAFiz9ETD9TeNgh3+ae6qHzUSgZliDL63buiYK+BBtfrWK78kRNBQPcr/wDZzinmKU80QPoUmEOP0uJiGjaxDS0qV5WnOtpkp/an9K++aT8bsGrwGw+Rj+Is9t61Wo5eoH7lotfqWPBxN/ksTS8tr05y/Tu/T3q4drl6t9epbtGPW2VTh/oGTnpvtO4832Oq6yqffYRkHyVYXHyddO8NtJW3nmxmadbPTw54r3UdwCdMWX1dDN7WpYftk3vVqXX921/f0Qft0EQwD46lU2AYulB7wifm5o6bLO6+KjU4trCjNcLmjf66VSb0MR2zdpd21WkX2O7TNmpLllyc/m8Q6V11ahG8j07RsYGNAQvPkxVxnOEATOyGyGByLj1Gp4y+3+3QK/LEyO2Ylp02audY5bOeZbjjGhFgXCjOHWNctrfe5xlhWds5ePvMIHCWq2Cu426HzzJjMypVok+Oj42M1hr98zumqyLQCrCuYcI0LcdA+4LjlTfMmR0d5py2DxUWDrRrMgJK1McHKxEcmJC97twJfFQwqvirmNH7Kp6naPSa6+hjs70i2wVxWgFFDdSNfl5Ho4b6yflEI/2qo3jbUzazrwKi3sN/MmE1BDdSV0OIN4yjke/2XaWG//C/OWrAopvmlLZPpTYypqoBarT0s6D6OhzABTl0vAoEQS8ZQ+tFWn78Gh88ZT+fHJ5rKC7gq77qvJQW7wSIbjS0923WrAC7joI2uZwjKJvUSG4NlfsXMN6o/nXgBR+3kcV9ZMFkfzq//NOsaJ256pLN187jKLQvNrCbjrZ0ZL8tin0DM5fmeOSOE70vINjn9WVR5NFwY1zATkVOj7vPwO5/a3VuSrvqVfqqAVgl0OjSzUH2Oznaf3Mq2TbPBu9eEA0o4DPBZVVEnd8CZLZahlapsw0d18/tmj/7aaPHzYvlKNXFnfPdc7bCOtT1RwCKvApmC3Dg7yfgSe5Gb48dHO8LSlws0T0gKnsFwLVBvQYdRAZmY8yVoHBBYSu+Kvcdz5WvXkOlg9/13a7csIdNwKqPqrfxY2VD9qfOaW38xRBt+tGSyGbZ2JDyHt5vufRrjna/61fnSEYWfwPn4yePgpSM0RcBAhkquHD/m6s6z/osiYPGDXhcWpvrBmfRt4C+gQbnNlD31KoDNPPv2nd32icb1O/wT7Fk+00foC1dzmHx6tM41srrN7jRoEN1dgNG19b67twmH6oDtCentkGA2k405V+0GV/LwW10Wuxw+cAY2l+VP/Mbpivxwipe+Bt0Jx+re1N86nmMYgN1tSudv7VWwKkWmK2dnNiLQUWt8fc5wfyxJ5zZYAXMxSek03d/Mrdj52dN/89/23eVue+6U9t1VxUsv81gig6KIjaK0YjOOtmyPwaY0jchG5jHBXW9yK5rx879RzGbcPXgU+w1CECsHbX8vnOk11ubLhoPSIy57A5bhq8D1kjGmi2qK4zosftiru74q2HI3Q/oFvVl/IG+G10u8Gc8Cva1bpq144DRn/qpn3r5bRGbAcb17+6+7D51tNx3r53zgQ984KVf3/u93/vyGJEJ58oF3Y/TdQ13hY7hVMretcyl+41SXsdAc+zGAyhpzserFc5ep2VjBaZV1pUR972goPepEw0Q+I+T1KhXFZnrN4sCfLsOxwUfoGF582bNjKPK0virvAp2r6N56bhj9AXNNrdzEhogaTCjwR8liJ1L/6MfBdxSf07A7o1+95FBtwzSPQqWn44DZt0P/Ty25Wk9UK9fPi6IvBFYY7tZrspPd3CsY9r7f8d3fMeLnvyH//AfvqmkqA7BbxoeuRm+zj+d3ce7Va62ydyM5XQKIGRzMsbZrsyTTUFS889JsCFON9zZspHZhO2JMEdqTstKCudMWXepHxf4FUCuqdZhVwpoPBJtwb71C+Bo1ra8VxB0gxB3jgsM9t71evRl18pXLus06Ldg7K7VYBGHuU5Onbc6cw0O7XrNPtMBeAK42dz3OfIrHxudZgMERzm0guWC3uTSfO37+KU75KMXh+PKznWwKht7373HJ+WhymB5eq1A/Mmh2u/jU4GzPjdzn20KudaSdzbSNas7u6wHT7H5jqOP6xC1RBtAFVjHN82amOfqMte8YPzq+QbW7nr+Bu6NCY80S+2/0mXvNoHsI1EEwMxv+92gN+fN+dU1NkXrOVs6sO+T65Zcwnrd+KcBJ48vhEemr+46aXxZfY/+6FydUDzVeSruEmx4zbntfNFFHCD9Kb/jv5sUqJ5q8Lr6aToBzeofCDxJerXk/m7q2coMwYP2bdeBU/c7XdBgU8d1P195vf+Xt9uv8k+DEG3bhX88UDs1eS/Wqx3E6xzNymCDlJy52bvpcHbPXieC17uXfYw+5SR7WibceSveLAYhJ8brUZez6X36CpvNn2oAgVwbF/mt/l3rfhlrfURn7e5rCb93xalFrCoSnRSBH/MS1Hrh+77/gTvMLkPSUt4CWRnXTehACmUmk0rxI4Kdk20IscnQRxPh+ZcU/d2Z2Fob46qh3W+2SG8mAaMUgN+ovcnpRF4BeoqWWRjec0TeMHbvWcEl9PpehVXHxWu/j3Ye9bFnA8/Jv4vJS49e40aJGO1dY47sgM3ahEUQo1nSOmdtNYAFho4laGtVwozgBTtASGlSPqecG82r4N7IZftfoNNoY8dVxQMk9r7liyodNG8pz80uXqBLVjyGq04O49jouT5c56rX1RpRLSCrQ1rHVxMk6nUYwRtNbOQUvZpZu8eVJwDNHT/Fr6y14P9mY+pg9No3eNXPpalzzSuHgiF+ChCUNwokno4tLTr+Kw8XuLR/a+ONOXxf+qVf+kYXAxV1aCp7jA6ZZPRF6fc+gAgIlraj/xw/jzG7oF10n0NAz3IMbTzUwGYjwAKi+398vvf1BZBmc+7YOmdXN7ue8elPAeMaIFu5Le9o5eXqjfblqeKmNsjcde0d/VT9jg577VyPQPMSzGpGUH/LB0/0KWAzPiClAbm9NuecjJ0jC+x5w61sqrNTWrVcnb1oYKe68tK8NCooH5/NCbHmrzqrfFF7eeW989y9O/ArOnRToNohTigAejFDAyrkoU9dGD26vrk8hj4wS/U7ObiB2su7Xa7TtaKdm8sHWm1cg6d0YOcZfRt46px5f3IUqx+f+gAb+I8erk23mVfXbc8+kXvBpR7PbnpsVQNZT/JZGbpOb517YzW24g9jhT1ea5XBa8OuDD+1az9qj6of8SNH6F73YoaOr7J4ZQltYZHxq6DCdQYvRimdbz8uDV5rV8c1kHPpvgCqPVyKtxt0pF+0Jgt6H+9kbfbOi35p0sK+KdUv/+1sCup+3TUdf9BbDZihM5vsqRhXv0gy1h7ibbq//s7lp+59on/Vi9Vjv5n2m3JqO9llVJGUrtFCcE7LjrWDMQDVTROuMabUPTdz4GS76HJSln2ieAicTNSOFeFQLmwS1sc5rXZqRHSPt9h1lsXFdJQu0C1DapwFmJiBUiwD1tDeyPIT+NEYIM/VdU/CTXgaUUaPLsx/WiNl/oAFDL5ytWVqF6lUwidDwBEEJCvI1zmuctrcb9Oov//3//5LXxfd2m+eLfik+Nau4q+DdxshMf46WWstndh/C2A0YtrroG+N6lW6rzm0BSZPxvYqLnzSwIfme42YSK05aTatdDJPeH1zu4xJ5es+PqeOfCPtxneVsXOugez5l685RwJO+FY0t45wZayGrFnKO9d1iEWR93l8bFOV69S6Dnl5ktHKzh1P6Q3g7BrWk1rSwKHrfe+10K5OyhNdzU0B8OWzgvBryKfvpgv/wB/4Ay902n+eZ2iceAM4uvSuzt04BRUZKktIlDNNt4q60+8CdO4HwNfA7l0ZVGUMzTmt7Ml02PiLg8xhZoPIDnlqFLuONp1RR9tvGyfgwPZVn3ceLq9Urty/pcDmquWp7OTTBnUXrIm4s4UyShsHICqwwKFsFnf/N3DWwFv1A11yZaSZrPHY7MgFKLWxVxYL8uhZ12/1SitMngKBl+697+bQc47vcqSr88h37U+zN3vnAOEbvNrHYTTLbVyqRvZdhgrANB8yvh7PpKR9/RRM6HXxWPu2JnNbehurMVUObuDp4pVrD9uqt8n3rme/i+pSvP6UvRQswit1rK4+vjqQTHbvFpi0QUE4c/QF6Ml8MS1esDnUzh1vyyrDffu9S0+uLSkGq119JztTO3WPv60JlifZ+GQOXfm89qh9opcFWSqvdx7Ij/4bXzOtjr8JIBlmute9qz+uTa3+uIGAJ0zyhCuvXtWve+6P/uiPvlSSzLYImNj1+QZOjafXrKz1vuwOu1p5wsuTJU7t7vG/xVG8gdMbmHA9S0bYNw50N3zF83XCObTocW0Wv+Ip0Ou3Bre6r1EDYpzm98SpHSDZpC2DRzlyukzkDNgaZW6SEacMqF3nw2+yrTM8KxUa8ywNP8J/yZd8yct2z3NuVzZXRtgE2XFw66sYAUBiZWPte4GsY5VNYZ4acv0UfTGRjdKK+Imu+q+PlKnQXKbTKIuWttlki4EEIPbad5+bmXiKlhB4UfQx7TK03/M93/MCgL7t277tRVA9B3Lz/1rpa6OIFn0X9Gzul/XdfwtO7B7f/M3f/OJo7L4DhRW2pwxKlZEIMwUBUFA8V2mbl/HUztk9f+7nfu7l/jLdpTkFQ+C6s/J1uOpwcjKqWNp/fF+js3ebu4hkP60/EbWkMLoL9nWkC9Lx+F4LVkyGBvgZJOAeL1xQ/sSXZNTxBbf+63xVbta3jXcyrU3eNheuhVZ1+ClQoKHZMn3Dc/hm/GydxspT6YjrNNYodqyXN9DpRtqNCw09s3N9WCCBAZru6brhLguo4b+0rNEtn+MlY+q81fl1buVic/CRj3zkTcBMIIy+3ktJqOg4PQa82RywpVfTHV0bhJ8bVFB9sz7ss2oCcmY9m6BlHbHOAx5eH+c0Cx7suePTWeubDPT6O96vM9wdtUWlOd3lbaV1eIJj0NLKAoW1jX2/tcze9QD9GxRr9cve3Qev2+XyOl0te+88rdmkaVUy9mCQid24ds3Nw+ZntNt/zZrWYVtjS82j690MnLWvN6tUkImG7kW2b6Csn92/wbkb/Loy24BM6ataBH+Sm5tFco3Or2PR3Wd2Hw0WyCodPYYIn6GD4IuxKDUUvPckB7JuDKq4Cozx6OYT2CUnZH00Iu/VC5x7Y9JuVrznXKCPNtcOrkkeXEf57tTcTNNdatE5vXpN/5pQaFkyeRg9pg9sMLffJEtG++mOOhD05Gg5WRpt58zQPZvT/ea8ndNH6dQhqK1Gb7S/DT1gg8rTpYljF8xSHcTWqbQz/lZDdO5f4/0GzPDndKy5hUHI4OjFN7DTLbvS9d2WA9FX1WV0NF+CvrekT6VD7VTpfPWO+bx0q+PVwF0DAQ10ttkMUdKN/HW37Abl2AXHdS3rzdh3jptNhQ/Hdypg99+vvv3oMHNS+9vlHa3umJ/E3u6z4LFS/dFt7zd5Uvkqj9CR5a/rf3Du75Kgym9p+U5BmP/p59TaQr8OB6FpuVKFo9Fmrycl2MZRUUIsKo4gA8S79iZiimjNPYEggiLCaSJ2jU984hMvDhulj+gcRxNT5mvU7QrMdRJ3LgO1ts/XSFTArlLQ9McaNH2lNAl2FQuDpl/mqsJYB5JymiKcsp5xX1niyoVFK8fosi6uJRIN3HTThRp/tJtg7NEOHIWf/dmf/f8w4ad92huHee1GCdtn4wN8HH/LJFueKjshusdobVyja42K66GraxBOnwuub39vv/xe58u6CO+U9I7z6AtKkXyZX9egoG6pXulVHlAGzpi6/+jC0dq1gMYbyb+RVvcs/zYS6H+GoM7E7j0FrKneqEG6gZsrO/1cBxewW2umbv0BEkU0zVPlsEa9fNTx32h5QQBwbm5lUlQ52BYfzTlVzQa4Zn/T1ytfzRiVJwuOm9HVbGJXwHLH2HWXaxyJBu44snjRIwY47gCVTViUEW/+Byine3bOHuc2eRR0mkyopig9dq7goGUkeHSfVdTstXvNPuAnJYU3EEAXG3czws2I0mcF209Ge82Y59R0XnpcedB1ANen4CEHEBB6cjLILB5T6j9aWv8LIK9v6OUxCgugWgMq4ElfCqq432wG++paHunTvTKqOwvyb3alOqM2ir2jW2/mqY78Uybm6i504gBvfOPB2sob9Kpu63zWkaardp41xaOp3+kEsnFLriunDYpbo941nbWHDbrDW5Z/+e7cBv7Q785H+fLyaQF/deZT0JPj3OObeSkt9anzVL10MZc5bCCweq/XbhUFu0cePvrRj77ZlOz973//G+xkHSFZpj8WGP7Yxz72RlYE6ool65TrH36rnjXW8tlrAJ7Of6Ld5XM6VuC5NqPBn5vNa1ChrdnFBm5sBOtcdFdZgL9r212DLHNgYfVmRFu5Yo5r40uT7j2A7rXf5ade7zqz6NLA/MUIbU08NPhy7XkDGA1i+PwkV1e2Ok5B4x0Ds/3qr/7qr9v7iK5hB+h0dnzHCTBLBMKipatgUIOufKqLOYvfbmCr+h82ICtPeBpufc+c2l24deJ+q6AZ2FX+V+FdENXm3DqkIp/WxM3J3QR27QLlvYaYNYJrHOWBqc///M//HwyryGfL+V6LWlVpFdjUQDQSwWGok3MFrH3VHxGcMj3D2TIMxwND+moe6mQWCIweU9Sj58r2pqgHMJd1H2gBXAFING45woSia+s6vxaS77wBTOD0+7//+9+shdtcNNp2QZ+xmas6c5fWBadrotQbr6yE8i0CUz4skHLfznUV/DvxtXPKL67P6CjXbLbMLqoXDNzstb5QCldZeu/5dsrcb5vrPhOzWQOR3Cd5L4i4CvwJYNTpQhfrezUAr0B9rWDxOrUFvZUpa0fwKBnWFwGO8lgN25MOu87eBXFX33EEuvmBtt8nE/u9Owj2+gXUdZqfjK5XnYMa6GauS8P1gfNSQ3oj0frhenQPJ0tZLydGUKbXxUtk0eYXe7bsMtmcoF1vNBHoGbC0yZNsyc7z7NrdS0k3Xel+9ISNuva7jWDIXzfUujqmeobOK1gq+HoCPO5p7ag5uEGwC6zWODjV51762HkugKqeIO94cHZPoKdOrU0S950e53jVqQXcyJxnEE+Wp9tnM1oK3pLqqyfaz0sPQUU0EZhC/zouF6RXL73WyJTzu2fFWnXKrQ64c1nH1vjsZaAMkSO1/5W57roCXOU3NCYrdCWwiv/YvBtcwzvoj3eLawqkOQ8dp3Yd1ztP7+TUli+ra+uQX5rWAbzA3nV67A1WmP9rB28Zrg3UlhxZNd/0Cb08/DOZgDvXzNH00YLx2/Byczd8tM0Nm0lt/5/0ef/vOBqUL454wtpPuPmOF6bYWF5zahtoL18/yU+DpEpi9zI2cmuOObzjLZV47BQ8v9/IBn6vM9ngcnEUrKJfaxJJ6GhOar+KofvblePq1cvvt7Vs3nG/kfntfBVHPQVljIdcqwabbtFf68L/l7er/mS4N/+zk7suh7hyQn+zyV3S2bX3DcI9ydQTji5GrizXvjVocfkPxnjPnNpF1LvzIMfzAtECisss9dp1tEbPxDImIhCbnBnNRfKB8CkVpQsEa/1RBuJ/BnaTxYhwbHd8H/tgnDaVsX6nCsZY1ZwTzvbbcTV0u0d31WwGi0K4E7z7r9/r061RF3Hd+co5RLwcR7jq2KzJlOy1aKXd2UbflWnaVVpkWZQeCFbKZJxKoxrRX9t4AR0Z5GVld/2BWTuV7vcPfvCDLwaFk9boGYFu5KjKD9/ht0br9h1Prh92NVwpaPlNozQZe4pS27U6916Oeco44xdOxoyjHe0oFPM9GqwBL0CkaHGNUpV+I2Pkz8Y7LY3fdcbzm2tgSYDCLttkRql7F/1rBarue0u+WvVABijRrqm15b9HlZgPgLrrCs0zfqhyrRO37xzn/Y+Py6MFxV0LVeDc8TVL9wQG6rAPKNlRGA/Yon73GP3tWthMOV7Cd6LSBSylqc8N6N1y5GZByud+R1sG5Ck4xsjZm6BAvGuFBSfQosGcfR8QXFn4wOQyHlvOMlrInvz+3//732QB7CYqA7usynTGAjIqDHbuF33RF73M7/ST3fDNt8009j7dg0dkm4G79a9lyOa6Dkvfy+vXqQU61o+7Ycwto292oYGMypn5IG9AnbEILtS5x+eOEdCb3h39Vd9s7hbElGGfPdgu1X0cnWzK+tVdOLtB2O4/G60CqhH4rnduhVIDRHeN8VMQt9lV2fbS8QbYS/e2Bi52DoexWfHKzzsFs6t37Vy6sQrUtKR/bQHkYQ87Zo9/GzTBb82ITS72QvdWAvQeKunq3MJAu093D+94jN36ueK2G5BtYK38eeneAJD+PM1Nz60trn7uuRdX1rlpf3c8vuvyiPHLeHzO6Q/90A+99S/+xb94+U9gx6MYVTjoz3h7x23Z0mRo/ZgcbQ5dl21F+zpVV96LWxpEqa5vyefFcsXcbfS2/Rx2bfwnmIrmMtFksdih94K3LMWwVn882YRCnwzSaiWBWzKnamnX3rW6g7KgKr0NO3XNOlqTX5i3e4QUK197bpzV5eSge7O4tv9vcB29JUccU3vbAPCdz/oWDfp0iRVeUk4uEIkf7Gcx2v/Kr/zKS6DY811XbTm5HwbHl8XFu5f9h3adycQwy2i7c2yCBgdLQjXI3IBdEznVs9dBpycrw46p3q2/9Z44tasZF3V+iqBV8RUQUJiNqDQKdxmIUi/QW7Nmyu9rO06UzfX3LuW+Sdlk7pgpoAJSa1UoPpNAGEWzXRN4qOIt8atsrvNR4+H4W8JK0MoAolp3EyT90U9Ogf5at+O61pMCckprWvKKeUerHTuaeM7k+j1aKofqOrG1GlyZwDVrC/s4Bo7JBI6T8aEPfejlnvtta6VFiPBEI7evrbPxf51igitwsfEAmlXUzU7VcLuGrMsT6KoR7jWaodyxSh+Ve3tcSbPbay0LFqkX2GFsGHrg9hp0dK4zx6n2fUprzgGntzt6X9BZUFker+xfx/JmWYEtBrHGATAhx5wjkXKKkDPr+I69Dq2M7O6F//cZ/1PiosjdqbRGpvJLbt0bnWSHW/mwgIVAQcvSarzJ73Ta+trN83bv+7xeAZ2O9Sr/ykGDZgVEbeat+s+9GsihrzYWesU81Fhf/df19dbtC2qM/msz0kp0gZfKWediPEuOZsAB/jm6eJ1sNBN7nUTOq/KtBhWN/fLVlbEbtOpvlZUCnNqCBqRkCpu92su+Dc2oNMPI1tJnneeNz1plNFzAkm2m/0anBRamk3b8wLtAhV2H0UApu4x8o/j7PgAFI5R+dVyLA6ov6QhOi2sISpanbxCvPP+07q1OU52gZkbZdxjAeWzELcXvXHeNNXDddYN72bBvPDc7NFpO/3KoWn1EN7C3dhTHP91DgsPi3k9ZV3wi4GRc1Rnua2xoWLBdm1pb/Fr28AYC6LYeb845flf2i5mufHTubxCi11Cds35P9yyYtmzrAmv7f3plAa/xPoehzjO+2HFf8RVf8YYH6Ws2RUBjx05+GmTGe66NPmt3ic/VIcWbN4vd1v7WySKHgtZ1tNCxQTWy4b9rz+u4eWzmms35ug7c7uvDYLeEdf2a3oEdBVvYf05unxf81Iq36b7yGlrXlhez0O9sRa/X6z61OvXk7Dq/1Ru33/1cJ3sNjptO9eie8aDsezdplEH/tV/7tRfbOJ0+nlwlwWgAj+C/+ifTR9NFkwl4WUDTnMObzRrTcdUnN9BbOW2Atvx1qx8rewIZ71mmdkSb4bod1pm1/lbDc8FFzzORmFp0SXlelbJnBO7cPusIUECUOlGytr1Po6EUCOYitDdzWmVSsLXW8bWEAWPUWUCnvp6co4KrKukygSjJ+ssR2P+N5hhn1y50DmXC9tvm2W8TjgnG+r91to3W93wlD1WgAJOyHlFlBt+jFNYW+ZTtsWkHxfwESp/m5bVAQhWZ3V2Vst3yw8ubxlcHuvRvn65DXad27xQ9ReTxJAV7wL+XzXLKj107cjMLfVGudaa7Bf/kqPNeIOi6zWagW52AKrE6gQWdNxrn/qVfQWtprJTYpirmpk4tmfXSX1Fi/RvN0Xe0x492JwYG60A8AbgaBQq/gQOZ953rHgUHAOnmhe4rWGwZdulXIFCwUgBWnfQbiXg2QGIOGzgrEBOtdV4rciov6IWP9BswMf79Ph60qZQNL5rZqVO76yuZRmfGkZyIAFs3dMGvsT0Z1lYSrXVd56VpdVJtAnoVVBa4lMY9p3qgtO+xpQWaAyl3kxRjlHXWtut8HYxuUFf5sQZrr2bv1uhyy0VE761jLj9ccFM7e1vn5jo9N5j25NBenXv5vO9oXJlqBrn/3SDEvWZtctefFciaI8Fnjg/dceUYRumTFMoDlRFBpe6xUKepLw54dfSlQ7HbnZ++tNfm8zXH62JA89H38vLTvPl8ZbCBhvJQM4eeg21THbtzD/zvMx3UQJU52fwt8G7D0l2fvibDd4fnynr5v87W0/j7Xes5l5ZPNK4cFteWz6ozqhM7rzfYjc4cHf9zamVi8ZngoeSGvu0cARtLQug3wVPych2jOuGdp+oK//d+tZOlzf1+9f2dg/L/tY+XP28/bmDs+kuCCtWvw8cCh54SUMxV7P2f397clR5asKYbV93qgDnCO358LRDdeS+mFeDDL/pS/rhB39LkNf1O39RW8G8kN951p3YDnxEcg5bwiGOQmApDiwiXAS6DcTBFExjdOa/7bWnxCQyD/IEPfODNvUfUOUWiOo0G7fpKrPYuSyT1D+RLrSNuI1HA9F3zh+gVChNYoNDMFYNfZmecKJoak5Ycc8QAlTpcHCCPMGo0SvMAe5uCoDlFMuYR5VmbIC2SOWbff4tkisLvtxqQlhyvv8ohFv3pPZW0ifIDuJtjUetFmGwaY9OSC/wK6vBaHwPSRxHsfdckcObZHJnLCl6Fa+crtzan1nYXtFFCVzH6rPRrPMig7r7WIxrjXbyvVHDXFkkGTLoBW6OpzXQrCapzy0DLupBHvFnlXGPc8e51M2F1aguUG/iRGS7NgbBmS/buubrrY3f5dK8bdfR/125ycMcDdNH43Nzb6by7yrZVdzUjtnMFH5R6cbbWpnMWCHKNyuLOnwGxZh0PcyDQoqVqNZJkd9e8a07IcvUyujTieYNw+4w+7ilQ1vLWa5DJcfnenJZW+Br/TbdzaMcTHrVmvhsFrvNt+cJTdpiM7Rx6Bi+bb/qjRrV0LoBu2Zl5LP+X5gV6dhlu5tmcFnQ1YOG/BsxUYlTG0R9ta3Mb1DP3QCF6jn7bw2BR+elca/o5V+PLnUdO0XDXmVM82jc7qLy1zqeyb3QvUDaW6pzS0Xc8L9DUdh2OpwDmaw5WAZP/GiSiy33mQLZv7TPdJTvU+bt92b0B1DrgNshpph2ewfedbwFJwQW6q5VQpVODdRyGllU2OHhprd+uVxvwlHXsHMGINzjVYFPHXEelgbY6MR6nc3V1jyUfdXjI4/SDJ2Zsl/Q5qcMZkws0sN9F10FPTiYLq3awnG18zh6zbfAZXVNn66nVvqx1uUJ/b0awfH2PhVNKS/QVRHFcy0bhmmLTS9tiPrxuUyhLG/rcWqWtEggqffR911Nab+MuOs6Gc5MV2FUJLr6jl+A5gexdo7YaT7Ss1/0bVEYjv90qrTpjlY3iI2O7NqKBowanemz1IWd2sj7ct9doIeMNH7gmO/J/fdum7rvlTjZ/bfKgAYzJg6C/CtfqiK7F5WDyR64+qTzXNyrvljZoWj4s/vRI1/ds9+O9+ogahGzHGiVpOSBwdMEIALzPI2aBhTVQG9hKzGRvJwCbqF1zYGj9sE6PoVUWUrC7hgHV7Nsgw/jqEHDWTFTLFOqEUg7azQA2CtuM5jXMVxB6bhmFc9uoL/oTZtkKoJvBshZC1tB6TkKsTIpCwvDf9V3f9aLQlXPXoQF6J0yUm5IGdN11N587f8pqfd76lB3X8p0dt9/2+vCHP/zGAd69ZNS6sRDBKA05wAWAwFYd4QLuS29C6job834vWMYbDc406ldga3Oz0X6/20hkyqpZaY4oUDk6NKDk8TejZR8N0+CGklcg38YOAKYgTgMtWjM2FyReo1qDICBUecBT5L3R3F63ZXrGVDCysXP8bUDUrEQdn/2nRF5AClgne5xC87vf+ogkrfKK342R8awOVM6sVKhR6YIuO8Iq9af79B/oQBfz0evU+TWOC/Lxc3VR57nzZj7RtOtoWp58wQ694np1GungnYO+49+ByN/ze37PmwxfaY5H2AQBpZZlK5M15/htfbUfgsh2l2E0CEAHPNmv8lVpR/8XhHQ+avts2uGxMaV5A0i+mwcy06qFq5v6QrtG69tn/5vLAcRlpRZUmH4eD9ogBK+PfjtuNJ6uZlM9Do99uXqz/PHkuDeLXUem9GkQjW4g3+asfK5du9nmXs2gX2faEoBWPdR5oyeMFX+bo2IbtkW/ixvGlzZMHJ+XN+tY10F2L3Pe9Ynrsz7UwSxQ1B+vHmsOOz+lb2XCsY5pYOjJ4apzX7taJ4Ds3X0qbhDCdVTu3QAdfdHMWYNhcNDsAmdptPvSL/3Sl++zqZ5vvdf0lEB5K912zTnCLa/VVziouKy4rQ7WdY46ljpKmvksPS/Ptx/mfvbFE0IsIdAPDqbrXf1W3Vg57LI8T1SYA6X6jPPDUVLBYUlDgy7TPXBRKwglAKbD55DNXtA9xQvKYPGfOVNl0kBs9fRNOlRXNThYHPM0Z/BNZapOc+e0gT/3vtVCZIkzv/HjV/NVOZn/w8789rf3rNk9FiBgBxuwrQ8Bb8GSm8vZZrazARX6r5VYdx6adW3gqrpSH+Cpp+RHAwD1Ud51p7YRTo5oo3A38mYABckGVGGtAAF77oHQixAzrJzORq5E+JUS3/UvBN1zw0Q0ZBCtR+V4NzLZz+3vZf6O4wmQdEKbWerrGmrOdxniRn+enNpupoSBBl5sCtRnU6GZdVFTgDt+zlSBxISkZWmNJIsM7V5zVD0LVZZwfVFa3s0udpxNv0Tz+txhgNV4ylulSd/N/zWcF0DdaFFpeue888W4aZys8rt55NB2t8B95/xQ8jXajThanym7O9qMZycTQBjeNS8714Yhu4bniDIYon/WO7+WrSov3netwEcgqMbgAsdm1Hstn59ATbMZlRWGm8yV/pzW0aNgkLMrkkwP2IgILQv48HANdpXyrsGBtU6zu5pWLwrG7LwdY92nTLxxcOpr8CrjdZ6Mu1mJKxd3LtD86mVBAwC9ZZSvgbArR46tXWCoVZg08CgirT90y3UO0KWlrrUVnBYlboJG1YPln9Jqrc5Wx3bH0jHf46tLGjTQCqSu3qoDgIfxYftyaV6+b6bt6jYyLqgF1A447dVnzlqyMz1j51IBPfamvL3W325W40nXXjvWsTwdVz6+c3l/e61dmvX+dSjb/3tcZY8D/DQOuuE6YDZ7wetdxgEQ9rfr1ALxrt2sRmXvtczgHd/VIeX3Bi163c7tO9H6BoBuZqrX6fvVWZfuDUo8BTju3FWnr3E8x9sD9HMMNicNxu633UvVS4M5lkoI2Lf825IK90OzOlDm2qvB89LnYmt0rbw/0b20vWXm+M7SHjpf39bYVrxRx9a4XUtl3q1+cczub0NM/eux+26Nvt18G9TD961CKC0aUOkeDuxCeaL6oyXmlbfXEk2v6ftmIvtfHfcbbOpcVbYatIIjVAIUIxZPTHcvGGN+ftfv+l0vx+/xVKoGPCNeog5foqtMOEeafOCN9r/+3+UN84o3OtbS42LM/lZ50d/3bE2tZlBudCcKsZqRZaCBqOuIVWAIAoVtkhZdppxWOtW1hZt8Dof0dZnMtWyesWOU8HCATGQzDSVyjdRay4tb7iXiVcEuOPdq9LavCqIMB2FFrzLYfcc8O17UcUw/Z9N3z/11rQnO6LyI0DZqmhO1c8zj3nded4zuJkfuN4fhIx/5yJv+F2hTGB5WzcHZbzIA+227tzUCtFanAT1klKuM3XPNNay7viCrgOEJPBbsd31dSwrNR2nZsXYBv02CRi870skkVbZkt3bsqhOsv51zK9O0se96F7jjR3xnp0JO7fqvsoEhY2TIXtdqdkxPBvTS8rUgj+PQhJxq6Fd5REdA2/KDygpQWSPJue9GKio8lHLbXA4dGBEOE4d015FxG/2rXAFNFQrK6weSWgJY0NgM9I7dddfHvZuPloY38lu5Lt+if2WtwPQGIkpz4+8cCgpx8J+ck5s1Ljiuc16HB+ATTOnYyDJbwcmna4xFlYQyNpmTlma2fJ2NQIfyafkOsLp9rj54AvLXIS3N8aXr4s2babzOBx7AX09OWiPh7GqDAgVAF5gC4Lv2QEzXhDu/vF2ek4EyxgYZbxbqOr5PgZXqh9K3trZO+pO9rMP0dA/XvvTof/Sea1R+nniitH8a27XTdVrY2n2/mwRWj3N2qqObCXSPyludICDzKSBVma2TCLM1M+P46oYnR/5pbut47jOs4H9972d6rPfs/D/ZJS+y3gz3PnMMYAj7jSjn3EuQEa27Y7SyYpuUcjZ2/jJbBfPkhm1CsxuAM5+cjSvLa8XJdRKKMW4rndY4Bca++1vysuM4L3284ZXtNbykj8qcYSyPcXNdz0Df9WAVfe610NW8wEiSHxJbHhXXDHz1bH2H7ktS2a1TVqxSR7j0vbbzSb90Pmsr2k90uY5eZRH/C8jiSQGSnr970uMqblQu/s7f+TtffiuG2NgtMTH+BiiG+/VFeTd57eaVXnBZ5bOVKg3ENNtbPVHZLV2vU3uTSO+6U7sbA4PryBhwQEUnKZxmMzixNUoUx436UeYYgoFW9kyIp0xqYCuMrtHrXMd7zSZUhLnZie663PNK3AtOKJ5uS17BaVbEf/rWTGBbI229b8FUBYVArz+UsQ2CdoyImN1G3X8Bg5V4bK3yGHxCMgdg6xCVLxAkDl3Lm5WOqH23exqjDSyJvDhu87djv+qrvurlvuvj1vHOeeYQuv6EbQ6GZ/+JKLUMG48V0DYK10d4GD8lrzWwQBBbpmuO0a5BkM6xkmr09wib0f9973vfmwe3N4jD8TGP1tRyfvDSzvnEJz7xxqFqFFLgh1x0d0GPunL9Ap8GEmoMmhG9AK4yjXZ+a9SXIbTuu49KWLMux7FkDxjAy1V45LWPMlmzw67rcTg5tnYItK7WuJV2c7x2Pf2lhyYjjrHRmQjnGjDUjEmjnDXG1gwBBesPwISHL2A1L9cJBZCqkxgnfPAEKqu320/3KxCgj56AfmWvx7S/5gyNOq6WaYs279wZ562v77peQI9c0iMXFDco1sBkwfZrTX8Lgu7YbkCxgIYO3DWUh641O1feu5m10pz+LDjGj/sus9rrmqte8zoiwMo+rzqHHmJnW6Z/q2R8rpNXB/zyHV0AD3SczqkOoz+urnYddDY3+vlkQ7U6Q6WN+aKnu9GP8/q5uqaO691wsvJUZ5GThUZ9csDd7b1LbFp9VGewjk9p37Gxc52fVrLVkS+Gq/wIdtwSy87fpfcNAvT4Bj0ureEV595lLp3/OrVPj+Ta8bO1+318vqB9Exy3ZFyQmO2QwFEBwt6u4ZPqNbT0ewM03agJHVqNgp/6vTTiSPjcBIhWWaxtNnf6UEesY29A2XktLcU36OIaXWal0qZZaZViaNlgcMuKu5N493Fo5dNryQwBfxtLtrqqMk0m6LlWYDVQdatlngJEqrj4EeSXflTFaF6q57rrOefeEjzZ01vGDg/BuLMz4+kd80u/9EsvPD6aDsuj08YxzL3A/LD9PqP/8OilofPIUXE0PkbDYkj2qZWiNxHht7u5lPvjP7j8Lu18V53aOm8AsczDBTtVQDpokm8UuUrata7yu+lvEfCur9i5nmtFKXUzINd/GfjbCqvlzI1gN2NUAejk3Chmfy8tXpvUtTvpztH6iJxG3wqg6lDYhMV1NwZRMBHBzqfsqs0SJhBd/6rWXgmmEmKZNgIm81pnRx9bztgNLdY2BxPKAdcBWIptv3FMrIPFB+bbmlPz3Kw4pwT/aFVYWnm3c+K/KvmCKMAS6CMXxu8Yjv9+s35bhpYDe/tibeAUm0wrBctY1/HseDi91xAqL+e0PUXyC0abEbxy7Z79rSDDf6Urp2rjuWtq7zX8VtCvDJ1hqKz0N7qAnAtc0RnACX0wp3XXnzEePy6T3XWeDO3mbjIiqEJ3VLaq47xqFM2hfjFgmxdONoNVGUaX6og6tT5XnzRKe52Lzol5v4C9cmwu3fc6BA0sFsCiiff+XyDdewHTXdfJqa0sCuAUaHdM7XuDDOXb2qLK4A3i9HWvfZ32S9eWhxaAl+frUPTztSv0F/tL3oAOzp1xdM1n56q6tDqanuCg4dnOdfVG+aB8VlpxZAuCb5Dh8tu1if3vOrzsXa/zGgh6zeHlOFn60U0hKx/l385bedyrev3yIB1gx3/LRNh693ziDd+f5vTSCy2uTLSi4er4e5/SQHOv6oQn2l4sd393zzvXd656DbR+yrA1IKqf+26DS3qao1AAz954Ad67n71XOF9wkP60RLP6rN/v88bdt4FGWKd2uXjlaZ6e2rUPrSZsGSjsslb85n80vQGIGwAdXazHnOzYv0OChT5ny/BfS4q73IVv0QBmA7w3WNPf6Nx97xM/eo3a59rW0u3KxWttxwtIdWkGbFcsRNdWxo3T0iUbPV2bVzkoX4xmnjX+X95+FGo3i3JOA8LkQkLoaZxX7zR5xobBoV022rFVbkvXawcvven4Txao/J92agsQAHoTV7B9ge4a5YN5dbJRoAuQniJFfm8kE1MpX1gzWX0A/RrmLrg12RU0k1KlXIdUFOE66cZ5IzK9RjOvd1Jv66ZS91rmwn/K9lq6LepoHMaIGTeGORmf8zmf8wIg7YqsJMEOpXa3s5W9kl4bDygXtGaOsgGu0cjObaJxMq67z7JgSqv2m42qPFKoJe/6jw89NqiG172v4a/iqvHWaiSdZy6vQ0sWzJ2okns0e7JjZxg91LrZqvL9Wp0ozzztRhoFUt3w6AJF38mLkmd88WQYa+Rk59EH31bGfab4Gp2ts0NOrfFt63xcp8P9u2lHnQdKr+W5zsVrwAh5xys7V8kZ3tv5jAojY0OvBXn8xzCQKUGGazQvHapngKzJRZ8XLFiI3tewPDlV1xmoEeoxt12wXcNS4Na5qbxcR7b80Wxnjy0ovoFD5wjCiFg7R6ksPX+dv9qWGstWUzRwcuX/aezXEa0+v7QtLZ50y5NBd07LGDsufN2NF9G3sglIVh7Kj+a7rbqiuq46rLb8zvltd+4vz3XnZLRuP54cxNrY69Reff10zwKm+7tj6VLOR/97ol/Hf+fqNSet/dg5Daw/YYMrl5Wx68jSZ6XjfdV5E4S5YLJz28DJBal1eF/TLU9O7XX6ru6643ztWM7KlfGrm+CSfUbnBmzIygXxSmD33dpyeEIZp3lyfxiXDPncANLFybCEcVzH6+oWdChPPvHZxetNLDkO/Srz2g24XfmvXVufRx/VZx7rY+8KvgJ7iefhwP7eJMiVsd5fH4t9/IfG9hohV3UU+2p70kf3vpfHuwGXF9mqjl+71VetNpRwuBVJ5LY6qLyzc0b7//Q2rkLLOvPFfNVPfeRg7W/9rqfxoz35udivfOJzdVBfpU+xdp/i8J44tZivCrIbM9UZvIprraVEzRgAkpycGq22Zt/WML//TNzOVys+xwAIoqA7lkYqer0auis8Pos6Y6BGZZq9rlLqjsHX6Je2mvS7Z8/uP9vSF4QzxjYJalapUckqA2VPy9JSBOuT+41uu8YM7z7bHGHn2czJfdcHIH2OE0WiHIQjMcfVOgHOlS3LOQvb5W5A1jVE25STKEv2GBVzwbnbfx75ISMPFFcBEtrbOi8VyAuayYB518wtuvh/dFmgwBrxKpHrEAA8K1P2WBr8Zg67DnF06DrQOqyidtZaUOzGVZ5YI8vGUIPkuAtar7JynLEAjB5TtP+6lhgPi6i7ZmVU1n5jrcImFy1zph/scKn/zYz2sU+CEXTO5mrHM9R7t9lCqzgKPJ5AXpV1QS+aKmXDX5OrZY5HJ/zbAMHNklUfrXWNKbm/fKs1wIU+gAzAU4BbkC2QeXlHeVtpUD4ov4lYV9cXtNLrff6psnXzVgBZBweNrr0q6K0zeYFgebsO1N39sdd+apfmLf3r2tUGbzrHeIWMG8O+tx/7XZDP0ogdZ+1xHfrOPx0ATF69eIMGMlTNShXEXT1a2lUXKDe/PHSrjLTryFavXufnkwGgJwcXD1jyMZmvPF8Zvg69+ahD6ryCQ84SenSZDPyCR6bvtMpxgWdfvS/euft24OHOectpXaOgu7J9af7Uh85Z7cR15hzTuadfah/rZHT8eL6OP525z61k6jnu53p2VxdsWT/sQTG7oHrHMjv0K6gXZLsYC90EtCsTBfN4ilNsnNXHlX144FbeoJP7rsFJXTOL5wRSS9ve01y0wq06r7wI341WngfcgFiDp2SiTm2zuHuvzhA01rrscI09qvO9/2CHffZMbpi0urbOV+WlQYrSto0u82hQdL/X7f3gCDIIO9vn5557Zaz8K1O616d/+qe/wZ2WNKBtfSSBB5uFkZGbRKssk096rXoApiN7DYqVbhczX71RrEEXv2Zb3zWnFqApURtxvhGdm/Zfq7JZ6zqE+yiQAqECcY5RS7sQFQik2Kw32iS3Xl/0UQSv4KaEvAbtRhQJYBmhALACcj8/MeoNBFBEVR4W+q9x7Ha+stWB9r2eSoz0bw3Dy77aAZPjqp975xhh1GUQ2z/Kdo6EccpyicxxXF2Ls8t5rSPQUmWGnpPq+XDKoj1j0fmc7fVhyoxzjyevYb48e5XInRcRMgaoxrLz3LUrsn7dNKAGyLlVrpvDOfkAZbPC2r5bG4T/KRcBF48BAnCvg9G+A50Fsq55HYBmbp8yT64PLGx9MJ3QCOmVnxo38kUGbmSWgXefGsKCcoaP8ajewW8CYcq0u1652fkC7jsfl67VHaWLMeinB9Tv98lfHyFRYKGR3c5BW8HgkzF+cugKoPDCU5bqyRj1vPLTvV8No2tUR3lHm8uvdVZL09u3q4PxRftSHnwCau+Upa1ueJr7pyyK4E3BbSP8sheu23E6HljzG91oAz7P+965C6DZWb5OAL2AlgJiWteyeVa0ftT5LXgBNDu/a2yvueJoT7aAS/2r3uycVMde/rvO5RO/166X78qHAmKW8JTv66i4ht/NJWe1coPH8Lf5clyBH/4or+I7uv+1wMoNgN0M1O7TtYMCivp/ddITT3fO+3/1fVtxU23FxZI9ns261+39+rhEdulmAlsJQG66AeLlH/bB/MAOvU4DQ904hxxyuqqTynOV5cubpX/pVD7S1wY0b6uTjM6TZUF/GAqetsdEgx1r+wwvXZpdnm8Ap3rl6r+LrfFsK8HQz/G+N/B57UjPu9cpzt3xdC0cUJp27q7cX3lo66act7qtfFD6qBLtEwC6QWUdzdIMFtKna6s+JdUVnNv9LiGyBmuQGeejlXOahCx98U79ND7WHGVVcVevXzt2W3nbdSVVfjOO7f+h3Y9fy9D0t/5HQRdcXqPwGkheuxEeYEe0w3VMWJ0UkSbGogqv4JpBu0Cwfe1Em/g6J5RiFeaTA/tapLWMqwEhN2rEAVzf+2iR0cSav9bK19lYM64ackpNiejAjPJIJckcJGsjMXidMSDKZ44co4Pevq9fE4byQmv/rwPWqCpe2DkeKs5Ydp42NkCt65Yu7dH8CbhWsRXoNrJ9ATAe5ozrd2XmgomWhCl73XVG724Y1X7ZeAStGhDohgx3U5ELCPVZH/a5zlUBWO9fWS9Y6Nyt39u0qspRo8QK9Fo1UYfa2BnPrmPuHNX5Aaxdv6U9O6a7HttM6+4yylG4eqL3e6JneaH0KhgQqXWsCDon6BqIRnJr0K7D2Lm5/bug8+m8m/mpDnlyDK6u6/GX31yXHrtOv/m7oLr6Wj9qX+rEVg+jX2nUV+eq57/2+9UPVyaeQCeHrZluzoalPE+0q+28a8jxph3WbbK3c5bxl2EqL9FH9EQrJHa9Pv9aeb57NetYvnutrE/f8L8N63YtwPIGfzmV7dPVxaX5pf0nA0H6fXmY47/XtZ9X1mrLzSE72gxil3P0mBvUfAoK4JUuo+o6M32urnONZpjoyS7N0LdmuV6ja2l05f+Jz1879r7Xoe45xULVSXj92k72ovamWc0Gkeq0t3+153QLGTBH+BzmuTqPba8MOObimPLftYWOu/S5NLl83v98t8nqzcDtv/F4K8rch/NL51zeaADA9WqTWnVysREd1uMuDz3xSftdbHXlwG/FZviBfuVMlm7381O/7lxcp9b4blCrPNE1tF3+2M1py+83iVb9UyxY2vz3s06d7tEna2DhsspVA+XFttV9lSF+SR3VYraLhysvpXdpqz9dbvieOLUVdgPrIHTWxHSQ/UwZYOoxg0639KqDbbkTg6wctsZeZF9/lB4w1CUwRqHYGRCGFhgu0FB+dUGMifC50YYKKIN3o6MttajjMCfA43OU+HooOCdUpH3jWGS+D2l232uoRKx2jp1g16fRdTuozYHabyvD8szUzj/nFvPOCV4/9tvWHZpDi9iVj3hQ+b57xMzotJJLG/TsNyW6dWY6X0BAyyrwypqSXXMAzDUSVsPR0pZlO3b/6yhoFTwRMP28wIySwK81FOXtlpSaM/y0nalltfe4o9Ha+MyrzOrOlwWhMDm3fRB5adp3tKgDrky3m3GVDgUOpWsdU3T9mZ/5mTf9bBMdH5/Jot6dJDcWgHPXXim3cr3R5Dr7xmQ35PFznYMalQUO7iZanee+M+bX0DczXgCGD8oXgGrlqYZsmz5MBtdvdC1Icr/9zkD2/FbG1BB2PurkATQMWkHABVx0/JWPJ6f2Kcra6zXIWMeffHTsaNvgwJWZytS1T/Rv57atBrc8VFB8HavbbvT6HsNpon/NHx1lb4ALhtyzmdpmdAWdJkN7vvjsxq6ndLuOAd0p+Km8smPGQzaNKv/VNrNlxowfClj3aqZx95q8bSmE4Cte68Z65unqqNK+/3sVDJXnOgZ6v/PTPky/Vn/JcuFB4zdvLf2ezHbHdPPU3WG7o7VshComc4UvGpAzf3eursNh/i44vvLRQMpr2akbwHtyaq8+1/ABPVO9UWevASn8bH8U47lZVDSq3q1c71qV5wL32sA7LrqG7KjWwQ+wS+9xExvk+tKrMlS9WL1SG1ZsgRbVBXVoOrdsjDn2PHSVi/rGuWPfr57ksBhT71vdWLuk0VF17AXJyzcX+7Rdee9xxaOwsP9qS+ihzeVkk57Vt+sEXl15+3Abp7SZUfxYG/3k1KpU7NKpS1M4s/OLNgIVpcV/eVie0f0+NHQpLmFD0PMmT+rYXrrUoW/FUW1iq1SKH6pr8Ih+XD39rpcfPw2mYLjRmoLcCk2zQC0ldCwg3mgPAu34KZSVMVJq1jsQTmsIZDu6XbhXFejO6cJ/tehNq2OolsjWcFLejCy66PNliOtUuM81EL/8y7/8pjzX5HJArRcUeenmVDV27UujZsa+yD7HZUDas2g5NAzkmrJIawyVMcwR3vUYAQ6UhesE07oDNf3os3t+9md/9ss110eAzNpbwqzfxkc57/MU9xolYbMC51XgKNKdx5nSnFdQWv4s8G82Ak/UQTQ33Sr/rlU0P65XECpDvt+3vnb/bf5XYlhHrg6MEtrOQ6OmBaUFO41+1/A3mot3nhwH47jKc/1Zfwe2B+jIdo+x3rbRSoEZhn0Blo3d5mE2pZhzu3twXitjssN2kAaC9m43S5HsAdH9tnVBBeQNwj3twrsmwFIQUtBWxV1amQ8l9s0QWH99S3roC05/r9/y8+uA1EhVF1zQUcB1nfc6Gm0tqa/eqe4pcOXE08cN7DU722x9QccTGHq65zXGHSN7cStv7hxVLhrtv0HMu1s9kH0j2Bwhc3rLHgVOzWmdjfJXAwKAFT1jvwSBw9KiZX/dSO0pen7nqI9awSfm6TqgeEdAzW6clXHAuzbrBpGarbggXmas/Ubjtjo3rVLq3Gr7f/RTvYFP6lihRx1acsAZYitra3ftYZfpo/3H7tsUbQFMPG/vCA5eM+S7dvGKvjUj7niy4jf7cKBfwbRrXsfVfHesVz6u7Dw5XRr62ytEX12bXe58kRvnVwbMh7kvGEb7rmevXYRLy8to1H1WjBNP17G+QSsgvjq4Dmt5uY5TEzHFLLuG/lyZaDMO123WdcdvydhsHDrVcaZ39LmP/POoKfPy5GQ2mLoXOWAXzZ/PpWPt4A1MXN6qk4ZO7Q96ls/MqTnn8HVeL9+zrdURTzTXb6Xc+7+PJyxWqj2uLBSPNQBujPcRi6UD/mgV4n+PXFbX1o46h+3WmmSpH1HdfJMHTQrV0e6uyHW00a1zWhnyTN0ner8n5ccFB4SsAO6CDx29gKfM0gkvSKnDbHOgAdqBW0Zz4BbAFZVy3M4XDbH7F8NTwHqNnnU1GEU/yxidIIxxQf51MOvMlB7XwdGsce3mBFUwokBejqEAy0BV+jUYnhmLOSmtrtHpxkF7DWxzQEV7RfVa2lmGLK1FytDU7soEbQ3du+4KfWp8BT1avmWsNZL9TtGhRYXSGt057NfIF2x3rhuNcu8qVH1rhta8NKJrTr0KaEcHZW34sDtAu6cIoNfN2pU+N8hSWe0YrjKuEWhfr0PjujOmezHal34F9dfw4IkFcfAnudi1VQM4p6X5ZHm6wKN7ZPfxP8Og3J7OQLcCQAEGfGIOldxfENnAXmmOzhw8u47fSH+NPQNZI9Y50Mc6fAV/NUptFzj4XGPmnp3/Hk//3fm/vP5UjUIuuyaxNC/AnZ4oiOnYb6CosnnHVZltcPX2ubx+29M4ZTV7fp+BXYev+h/IQwPAovq7wKhzi4fwzL4LzM1OFhDVqV2jm+ZQ9ZhG8PeO92xCpU/Vj7WjnZ9Wibjna8tjrpNZ/qtj+U5zgr5P/1XP3TlG131W7guYOY+ON/5mrdbo8tnGbmYo01ob2KwFMLpAluvhezrzZqgA1mZhCnS7+Rd9u9/6uJBbkVL98sTjT3S/cnV/f6dr9NwboKgD6Du7d3VtaXMB+NrNDrHLOw/t3Y8DRD+Tl9ruzjvHF+28k+nivfLcdTouj1b+OpYnWt//rg4qX0v03GPLx8W9xboCJ+jQipHieA2tbzC4jwS9AaiLk6/cXkcLBmrQoQ5bAzr61PfSt//dgPC13x3jXjavvAEV9O/rac7w79Vz7MMTrrrH/+fYmh57HVPyht8vv3VcHffN3KJfg/eubQ6uD2SOeo1Lb8HC36xD+zKe3/QZKeO4pbUl3HWqWoLnPNe4xtrxiG7H01/8xV98yfYs6zOACrx6RtPeZywHTmVtWkaykifPCN0jbBqxKsBB0AKsKluTW2abobiTeQ3ydV77e4Feo5ucSJF9v7Vkult1ox2F0+CCEmCP8WH8Re923Gh2wSHjJ/NtferoSGl4fJJHKzHYVVgi0hvfIs0UHoXASdhnQYy1zVlLiyoYxgcoUcTdqdCYGHyOkygSGmtKVWWhtTqBjShehdDoHMXq+Cpgx+CdJ7DfuRAN9J8IqleBTjMwN/qJFjeDRLaN4TpI11h5vw64RkltzD//8z//UnVgfpXmXJ1itzsyhW83hgFF8rjsq52wPaaoj/fqGIFGz4HdNWWOjHXygN7mnrwxwF3usGtOBwFAK7mvzti1qx/QryWWSlB3r1UpFGgCSXs3tgKCzmNbzyt/9t6dc/N7jTCadW7Qw2/0VI0evi5PGTuddZ1+a/gFEnsenYVezfTLAlxevDz9lJ3mSNNTNwjbgGeNcT/fOeBM1lHe56fHV+03a1oL1vff3ZPAffB3q40KGlWEzM6h13R7d5BskGr3xb+ToToyQC6Ahs4qdxxX23gd4Tp6C4Lib8FPmeLOSbOM+ijwdPHDU2sAvK33eAp8OMZ9BTa7c/5abRp+RgO6fnMw53R2SzBtuKWPFtz1lEKS6ekdmXCP9UJDy2fWZIPYvM1xs+765P+NwfNw7a2w+ZD9bZCg83flGI1qdx3TAP/TnNThKcjtPLxTsKJ6E/3Yj8pD+aQguTa39ke/em0VFHQ9e9rNJzevsAYMJAkAV8Bh5ds6CejcCpy2Oi3+J2t1Iu45ZNF/1b3rv8ofFYCOqeNB7xarw6EqA9jROuHXqewLTffZksMGDIy1wYpmsa9uaXBo8yHYbY7xOh4v38Jk1dU3WFg9f4MNl+ZrljeSX3quOKrB5hswIH/1RYyzdhtuR6frL6xdTHZ9HDrdXKOBOS5fGHv72jFUZ9eemdeO1ThvAqTVFpIbTU68phf+p53a65CJrjcCUmP/ThE/jioF3cEx5DKyU/6ekUrIRIgc3+eZNnrBWVp/VuLaDMAHP/jBN89mbTQDExWYmNBLhwoX4CfbY9yN3jcbU1B4I3HaFNCc+IFm9994BkK6nhhdGmVco0REe0fvlQorXSXMIsIYqdE0xoPA2Dp8a6JGu712PfO08ioOLoWKH3bu+jAnQiYRiKDA3IfCtFtmo9VPSkaUXEDFOlbGxzyJnqPX5U1lzNt1uGWcABhl3PmqI+G/m3GRkd79Ry8VA8q48QGjUb4zRvKyY3fewIroqefCkc2CbXxQWatSIo940lwpS+zxLa/1O+UKNOvj+j5n9md/9mdf+AINr5PsXPwHxNixef+NRgJR0wuj4XhiAHKO3+bbplqUorXo5mWyZA52LRleO4rv3K/8yq98IzPr88bicQWrCGEEfvzHf/xFf3ie83h/1x1vT1459AvGocuOGT3W//XNGvTJc0tACxBUmYie61sDh+ata8x6rSfA2Eiqeew7wMWINiNSY0afFuz3mBpy1xsdBB/3Qg/GkG6wKR1bsHNsfLa52Pxx6Go4G7CpgVdWiDZPgdmCmtLmCeRXB+DL9ZcTsbHNqelxQHEfJcdwj16WZey/jXeNA2+eLc+o/OExMorW+PBuqNbAj42RAAuBMI5Cs3oN/nIW6ugWdAsq2wG/69jI/A2mlO8K7MxrM0i19UCZpUefrD0FZercWVc73UJfjUbtp2ugP7DMkVw/BNL1VeCDfNu1enyyc/scZoG09QWfmG/AXXBE8N7TB/ShGVvHTZeSyxvoKmCuc9TAvCAZ+j05tOzQdU6asey10b065F5LVrqbhOrX3ltCW3q5pvmk92Tk2YQ6TOgBaE8Wgf7peHpkvN3HE+JxOmznqjCxTGD3Ku+xUTLvdUhfC+Q0KKxVP9chZUMF+cnixT94fna32TRO/8Y/G2pHdAGSlh3XiYPTbbzYpUeVYde/+8RUNzZAwCatP5YksTWcS7qiuw3jFWOnF6uvtN2j67efAmFozidhp93bWNyvyScYm5MIQ13ns84+nrl7xFROPjVVC9X/9W/gcT5A9zTpE2haUdQg5+hJ9+O34hY80LXEbVdntMrUMsU6ta8FzP6nndpGOZumbrbxkzGAwTOkyqQQq5NrQxzMzsAXAGBEwlkm7CQTou70tjalvxcwaCIagS2xMWmdHQqyBvY689cw3+NKm0ZebK50o6kUw/5/ym7daFmPnUKuEtl5lLusQo28sVKOa5ub/c556LhafoFBGwl8Yby3zy2AanSTg7P7MNKObfSywYFG3Zoho7zc17G7PoMPrHRd3HjPo4DMXWlb8G8eCyzRH/+M13fN0X+Re/fd7zKwnecnANC1W/29ivBuQiJ73hJW16+xus+VM1eNaBfUVEFenmlWccEkkdT29UlHmM/u6O2zZ1DjA5uu9BnKM7ICKv5vOT3HY86qsY0HgE7BDM7i5GnztWPmfM6xlblZtnjnzSGdU7tjBURm6NfWFxHMGjbg09KJ3VN290aOzR2a1mms7mhQgXGu0cErWufx6qDqLL/f4EZ/qz2oA0hfrwGl9P5AvCoD/LHrbKzott8BTpn5Bg5trATkVjbbx+u41GFqu87r5e8n2lUPVN7YsIHAnoderQiqriaTAO4taW7/Cw4do29ro0tBMr1Iz5jjZhY4Oj43i3wzbaVF72/eAS96tsG1Argn3rn/NWjReSzgumtcy9dP7fK+hvbjvdGmDv/lh4639OfQTycVHHau+zg7dtxmU4JWO16Fgjm0TlJQr0tO8CSAXyeDLuLgaaV/dXODl5f/e151hWZO6Gs6uHNZubx6416vINtmfnUe9pLA4NiYyy4Pc9zoPB20ZAk9dKvyOrfTP330oWOntyfn69PsQR9ZRV6KDy69i2WvA3D1VnXzE82vDTYPdfRb3SWw5tXgVzFsS1Qb6OSst5T1Vnjhw25a2UrG4mH9rIzoQ7FDeWgvm3BaangDs65DNovp6NEGM69+0a/avOoKGBmdGhTE53c8aFhMVb1cHdnj2sdiZnjuU7MRXpN45Z/aSdVKrVqCw7o+1v3at85LebbXeAoaPukS83Wzxa/5ku9q+fFaO1yjvN9u7XoFzLmNDEypTDiAV6DUzp+YUHSiaWqEslMeIavz3QkktLvHxz72sTdRVcBIVJmgrdUIU5AE9ClLUKNwoyLGX4f5Gso6tYA5YFGDyUnvZhRrjJYxELgdx6myk6xz+7zXCs/u3VINJYjLNsmUTaFYE3gV/r7vfgwQ+ihXLggwBsIvIqocr86vOeaEAWIFiVUmaEvR7jOw9+TUKt0jkA14FNzU6PUe+NK9ZWnnUO26snfKaptlppgAyq7vJEt9pJF7k5tGufAoYzJa3lIPxsnmJfgc/boba2XradzNfshKbMdmIK2y1FbQXd4WSEGHZqKUGI6n7Q7tGcZejeBam71zN9ZGbdFFKTFAMsA4p2Sf9/ucz/H6jtvvovP7D5BZX61R5DTbZXkvu5NvU5gtg9g95tjiSZkmct5dwI1fu05XAYHfGmgskH1y4K5z8ZpT23N6Dzxxwelo7ZEzdNDk4Mmg3kg+h1ewBi+bX3Q3L/T47dc7GeWCngKiJ2foCXjjdzp1/RjPb4wCKG3mWjARzQrUyWnXbt+NYupkNmBFLi/II/MNBu59dLxgsuVkBWRaZb3nFkSSNy/2k84GyKpDCvTbz8uj5UtBcnzSPRLuPLXRcTcIvb7KasleOfcGjK4DWKeiGdTyniDX9ITqlQYlN+c2g6JH63B1o5wGDDh07GcTAHVmK6Pt82sy3/H2/87Tbfi4DssT2L9gu//f+7T8XWC8+s0Gj5wW1+Tk7rf1a/pnDu1s07CMfra/18azqzLtdWrxvSDndNHeKzcd13WM+vvNUt85ug7X03WuU2s8cNfG0qckGGPLPotz8Oz6trEJwMB8aN3A7cUJrSKqfarzcteOd+x4sLLFdq9Cq4+yNJeCQfgO76uKkgCpTFz7UN5+ojkdt0Y/98kN1RPwTwNzteE3qVGd4Dr6z+YI4MFMnxr68ZFuoKRBFjakSTk+SpdUNWlZR7e/45vS8OqPJxp2vCpVmtB5T51axmjvIpl2XKyj8HLxGLIbTRCNlImVRbSZTAEFYWAA9vLIF8IhczMAYcMhjCYTvH5SSM7dPdYH5RRr3R2wW+yv2TGVMyfrYn2Ke3YyO54yZmlaI1+DTLF4HMnuDQBjLJFe5c9KWdcqNLLirq/saeeO7v6rUI0uFYJmYSmBvSsVNhfmfccuo1XgyNDvv42LwlR2K9pJITDSaI+OXUwOhDQLD4ztfM6NCDeloNS5NJfd+9CHPvRSirosXB/zYlyAXEtKCogp7x27sc14zpBuzNaG775KwbxqpIH17hbr+uhzHemWKjWbtFd30cV3stKy9AxLSzgLWqvo9avK2PGTxTnvH//4x9/sSmyXYmBAq+Fyrb12rAAXA8W5dt7uo0x51x+YEDSzblVJPgM4R3J922+b32WT9/v0ilJMAYeb6TW+ObidE1kV5V0CfsqeNpaN+f3vf/+LLto+AOuHezECm29rfHe9PrIKf9x5uPq28/40P23Nuiv/9Rt5KQi5jmD5TeCwgMb8DUB6hmoDL67boBbZ7i6I7g3Ar28eJbY+KsVc0ECQoWugr9xYXnEBWPVcA5Xl0epyczH+BCL2m0qj62DRly2lrD2wLgyNLTmwXpJj2PWF9FHnu+C/oFMgS2WGoNZdd0VPVqezfeU1/Eb+8HJ5ouAW/9ThYsPoGICTTqcXGlw2D908jh6r7qpevq3XuY38brlOl00U7DZgXp0EiALq1mT6vQ4UTGP9K3vApjuny5Zq6zpWVVFkuXxbe2VsF0Tj3QL8y+9PAYUukdHMqwD7DWKU/g3SkIUbwHEPj3LbccrM9b3Lp/rUCzw++kwup4eGeTa3Xe/c9YV1uvHcfiePjqnTOvtiWdD6ucqefRZQFWio01x64vGW+3f+3IeOfAomXCdD5aEAKRkpDiN39h8ZBlMBsL7MNpLH/Tfbhz+n9+y0rm9diiWwXnnv2k92c8epmuwYij/9BndLQtnfBd3wwN1k1LXXH/3GK9UxrVgrf9UJr55owAtuu/sANOjUst/aB9euE1+d0T5cXU92//foBn1De/1tYOQGsqpjJBYbTBAYVUGEdr2eez7R76m5vkDEdWp/M87tb7r8+Co3ALBGq4axmYUbBd8kjxkHJE0wECACRMC7Jsd5jCiDsHPmNOwaftuxA4icGpmo9ZMTZ0e4O3HrO+CNkbpOQ9mLiWQMatBvqxJCyxuhK8Bx3BSGbFL7AvS0nLhRlKft4feyMYtgwl6Ufo9TklNA0eg2gWh2vsaEkFNaFJ6gQrNljUb5bcdag6qshwKuoa9DZGfl0lffGlSQAWTgNQZ4Bs/ayL3XoQKWryN3DVaDON2xVwZln7uWVeDCuBbAAHJaZgVEmdfLL930glK08clrMm2+RBlFpV8rWStwrtJiFBbMGHjY3DHmFNX6bF1Rz280u4qdbqjCxEPWWk7eByi6Q/F4hpzvGn3moIAHRWrsljnsd48zoq+AqK7FacTUutqWWZZ2m3OPW7IBVCPYzUJe4HP1aOUH71S/PjllT8C0OqdzenVZ5YejZM46h33s2Y4fTaaDt1nYeKJrcWorCozrqNwgn3OaPSNTm7/xw84FJgs6m8U2d+Xd0s917+fqlQLP7szcQGMNcvUCO/QUVScveJmTgwa1t2jn3II6xzSD6sUhBIBuoGv/1wYLHKK1vjS7a2wdM768so0GtVt+b+a+PEJPNkjhGiocGiwp3W/rMYLKd672uz0Y6uTXcfK9wLsBB0EM12ebyApeYbcKzJslqb6/GRXXu0D6yrJxXUfUHBZEVt5Lj+rl2tcn+l67UNtJN1YX9F7lIwB6tnB6c00FQ/Xc03zuOnNghw2nhxZM9ki8/b7P+A9f62tl3bVawl/dsP9VS3Ec9316aP2WRWwZ/q2o4Vg3gF6aFBs+OQmdP/9VH2ycaG7jT84nHmPHFhxuNaJ7CryoimBjyV77CqPD4uaEjLa/66eNndZg8zpc+FQiSZVdbWyXmHWjverbZiHxf3n66qnqpRtIeLLPDTrWURTE0sfawspcbVPxhf6Rh/I/p3YNn9aXeXJo7xh77g3stoJwrTJxfQL3cuy9fvVlr6E6k/zWprznux8jEuNzwdeNjJucDlzU16YaZWTRfdF0wsG4isrLmO4limed1QRkx1BmssL6tt9sVHJ3dQQugeCCjgsYOjlX8bteaVfGKtMUrPZ4TDzF4PqNJIr2tPy2x1zwwKHwHYAUbbtOsmMKoG80t2PkbMgoOBYoQDPrc9daHvTCmMlMWXO3+VrEsBnNOrXmhWKt8JmfzoG+1AnEg+u3UmGRQMc382F+bqa28ydA000BlGvbNMK8uK51vXPSeq8GT+r4VGEDLTuPclX6jIcBVdcT8WwZmyBQy/7L01fOCzzHQ3NgBhj6DGiBLo72vV6DRMZSQFT+YzxsOjSaNsi2Y20wJlDAsNIljUqORrJrdJsMqz5xODm4+mTdu2UUdijH2/jGrqN96Drall9F0MtT1/kqr119U8BZw1Xg13PutWqALj/T4X31+tZnMoQApSoaxrdZ1OvYCBoIQtYhbWbM+WSMbth3GRO7w1cP6XNluaCk3/v+BALwLD6hg7q2/dK8c9QMBtuKrgUSgEwrgshvdcAN6F1nvp9vubPxcWDpC7zYoIL7lw8uAHnSh1d/PJWpymIXDD7xcs8XBHnKXrW9Zpvb58oY2wg8t//NgJR+ACV615Gli9gGtsfcNvvtONmdBn/ITTeBIS+l03WG6iDTx83iPumd0qu6/N7r0vnqm2KFys8NLl2ZQU/OYYMXtT1kAd/TQdM9zc5a8maDLnwuA3wd/yvHHf+tjJIosG51fbZZmMC86qu7xnj9EOw2b3X+Lr0+GZ9f2nKa6SjVEeUR2dcu7eI0wm3W6gv2sLOzneZYMAe2UDkjgVE+0E+Z1V3DUrg6eC05luAy53Rh9Vwd3GKJYtrru7zm2N7A62uNHF+7/aSPe0z1Z/0B/S9Wqc6obvxt5xmzxRXFVB1f8XMDrk2Owci1wU98WTtw73VxhfHVObekqE7tb7b9ppxaTFKCN5rbKEMJ3knZb2N+G6nsenucRTN3LT2TKWxankACkPtvgB3RJkCiZd2lS2QHU8ruivKWwISlazMYuJYONEJ9I0Htr3OeymTL9GVCdAO4gXbljY1OCwCsv4uwdV2w8cqYDLhzNG6UaK2Z28vIGLfZsCfh1+/u2mgOKFeZMRu/dBMByta56/f6ZE0j58u1GJY67BTxdWpF/4DDq6Rk9Qlyt4pH086TElMA+cnJtgaFol/w5fM+7/NezrWZjPnpjuA2yxK0UDKEx/GmuZfB7vE2uLCVv+imcrcZiJVJiVI7t8qsJdYt11RiB4Dt2N1rWblPfOITLwCiwLuR0QsSKgv93nf3pdg5j6Pf7mE38zrsG+fmxPOY3VtJ1a6xz+jtcWF43K7r+2zXcfxMB5qjfedE3VLNnTdwU16kYxhrgYRuLnN1BF6vQdP6vdmuGrDSFi9fGfG5gavKOjpyilx7NOguoeM9j5VZfzZ+tFASLhhwnVr8JAADDOoPuWQjAKX9N3uA/qt2GF8oDeRUy2Bc0G/sHWvpX34sHcdfzrML8hMAqlMgE+IZ1OOj9sGO/vRls/NkznX+3+z92e6+3VbW+w6KSZwrMVk7RlQGjIpiAEoZIGhwww2j0TNgR89DMzc8DRPjWRhUtoAgSiEyqOtKhMTNlTlFWLl+eT//fEfzfv4Dpu/rWivr7cmTp7qL3ltvxdWK3u+vyGNFrlPTe+M5tuhWe1zHQx92HTsBq3K40XT8VfmuTrx4oLaxQUrjBeLQy/kNuMqk4rk7P+9r6NNMhrE0C23N8fRlHfzdE6AnC/i2sud4gfJmiYpxrpP2hFXYRvauMn2DDmwC/V2HvXx1AecFvOUNr+40/MqpZRsbgMAfxUzrXx8VQ8fSh2vkhKw34FrbVKfI4/m+8IUvvHsU5BzcyWorAtHOu7lSxSfD1sAjpwgmrH5VXTjdx15v3qeHpoOGY+zcbl2rawq+NuhVWeo8PzV0a4DgaY7oKfRvld/6sSCA4DobdZdaWd5Dj1WW3cv1yJZMr/40KNMgWvnhYkS6xzXJqaDTtV36UL2Br4rxL5b1mR66jwrDC72f+deXZmzpuAZY3eM6efrknPpbTTw1qLJWjNck0pp+NhhFXq6cmxu/k93aD2Ou/ak9vc5s9dq1uZYGoDH9ABd9JE5tHdNGEFpqcyMjjUIjAKBZsFvFS5hlmWoQr2DuN5494hKsTUgBeKPyGgVa0ExAGvXRRxlhQlLFo6+idRi1hqCGqMrHew2s/u3VZziiPceeczE6DMDJbAI9zRSujUkYpL2skWCUlQlOqYkceuRJQWZpVnDSTVo4W5i2tOg6rSrfRm448MCA0lBl1XU8zT1h5zDfcjxrTOqs4ds159tpdUZo5cejyVXyjAsatP9r5gwI5ORsnpSk7Xo23pqx9XgTBsNcA85Kghu9a1Zc4INzC1gICKCn3Rr3m0fVmLOuscOPdY6MzfgZeOvaxjsbx66Dr+qIvQJBjSp/qaxP53p8sfFsjgR1qmDXh9HbhlXoah5bll35Ls/vN2XKXvjHc5tbOVJ91ms3uGEueuyNnJOFZrfpkRvRrRFpBJfOaUUCeW1p2TXu5qtOS+/tGNei17xGjwUMPPqLTsOvxtoKkzprNbzO0Rdy3woV/e817noufawMmxtjbxaq9OhcVk8Jogq4yOLfc5x3+Xxg11iUBBqH+wt81AYYIz4qOKrdda3rxFfG6sDQKReotAqnAe6C3fJ6x3GdtYK8OnWX5wG6ZmXpNsEQsvyqPWVAqk9qi/W9doON2PgFOBuo87m25FXgrvJxwXf5HqgXbPMfecQXBfZr5mvHlb8L0oszAN8Gr9qe9Ml1di89/fYULDCfN4Bfnq0zsc/s5pp53+sGbvAIvMOJ3SPlVOHMRuwzHl/Dz9Xtu2ZLdTnQdNDVUcU2pXODN8ZIF+L5BknrYBT8v6oEuHP1KkDpf3oAdrcOe30iBxvrHPI1zr3+1il6krNmIG9gy9w1u8qm0Z21Q/QNG9mKm+r6zt/tF9rbybwBJ3LYoN6d0zq0dZx7PF560h9PsnQDXRdblW/I2hNv8TXKY1/+AT1sYsnOls+vnOkzW0aObFbHwe1ceHxR/aUmE+osP+G9JodgR/rc5obrQzdx/Uic2hp5jbC2XKmKuxG7OpgMwAVTa1X6Xi1RkkHUL5Pc6MgmB6EbOSFwBRbu6RoVFMfKLLonEFJjA0SgQ53/G/25/4m4tzlGlMn1GTrlLY2GURyyuet3SxYo5bX9N6dtm+Uovdn1FtUcSN/YlHorqXGdjrH92fUoAjuBrnWH6zUlKaKUXV94n79FmIyrTl2zNI34ay39Mn79BxCqCC+YsjGZ6C6Hc9dz7TptDUpQSDJNgJHMUQHQ6L3XIrhK8Avcm+XoZiMiu08GZ++N3CkBApDdrxtzUUblN7J5HTTn6Ed3uBWIKU9XBmp0rw64/6FR/y8I3L2svcZzN5ro8UnXUWo5pzmr01DAaA7aR9cY3zMkeJ4xqPy73lMfC3IbXceP5gPvXz3R451Th7NysX6pnLithqgGtTq3wYm+Og66g3NZANNSqdHB9a6DcfnAWNGuurd6muxw+i6IfsV7BQ4FgT2uIB7gAXrpowKGJ/43buus6TfPEBcQrP2rE+pz5951ryNzbalXnbFm0QCOgsgCI7a70fsnWtY++K0Bkessaf1PX6rvu2ymVURPvFzeeWrXGXviC5hlfNS9AIBPfbx07XHFRE/yXjxyQWeDAZXDzqXrPvWjmKf9MS7zVx57konK2nVqn2Tr0ta4ykuOu/pmrToBrdmaBn/q1JL7ydEcWmtoOcLs064rw34DL9VzlWe0Yj/pIPZ/nwXvBYHYW1lZAVSYzXFP9rC2soGZ9/H51ZPXnpZv4FgJmwblZbr3O6cWDSqvV6c8zXtt6tU7TZRdh7Q2ote8jvuVnx5zM/tsYWn4pHuuDuJsXYxu7q/MkMVXOtr40cI8k+PK3B1bZb6VIf8tmFy/ivf5QfW7KtcSZWhkg084pudf2bmButrNJ95rw4fN0l5M85FtFKUDVcQlJGMHbOx3ZUQY1OQxmkAXh6yTiWA7DsFlIjFiJ813Rg+Y7U7JWpWLybprQLsz5cZyH4/AYeyzdhnuGg4T0/IgjFwn7MkYrim1s8tyI9XW36EXpgSWgAjlFsbASH/yk598c2ptaLCM3gzCopwA4t6VOdv0CPgyPtvkf+pTn3p37ObKw86709z6tYwa2sp+7ntLfhpN22vXt/lLS0mAHWujCfQFvHu3BX/X5RTsV4D8vmyTZ2vutb6KtuI/c9nt1t3XxgbdobXPEFymdOMarZYVblTOZjkcRnPfUkUySKaUaSozVoqJp/RJprZRxf3XMq9GCltGJEpIVkXBByRsOFaH1Hz4fvm8TvWdB/oFT4huCvagze6/dw786Gxzp43Tjoe3bI2xooPMYY13ARj9IPu+OW1GsqWCdQB3Hl4gF65p/vBdndZmsm6p29XNDXqYQzJCB9ATC64UkNfoAjB1qgWbCmz144L5HWdX6l2rj/EpaK09MJYGexzHcGsF+t0wxPIWYxhP6GOz0nXyr7N+q2LeByQFUzjsMkXo8wTsd87kcjpwy2/Gp/pix0mZAXPKVuI7GbbOMx3a0uDrmD05qID1Debu3NESvbpuWcninY/rmFxnp3KriqMBm+pjv8MTXWst2DddBYAVIF+a60vnFM9VlnpcaSf7MT4mg/p17X1BqvuRDeXDaE2XFBcYc/WufpGPAsgbmDPX7Xsxzlrf8cnNwLl/g8VksWD8fQGjOrFoXWe6usvnYqnyTYOtV/esb7NBe61KaEtfJvvW9FvjKvBZXAYLmU9j8xz06coGg6fjbfgHi1hKt6ywJwkI0I9vtuRotn16v/sOsE+ufTEj2gtce71qlTvzcx0u9Jch2zEeiYMvVf/JysGUTeyUj72Ke9xbn+G7noM/6xT1+pef8GArfcpr1T97l4Ro1RWeuc5mAzjF5myPjafaXLN9rT27c0MeGnysTe1Yuw/LlffSwxj/W8ZnH5oGC2AVa5LpHbjeRpfoCO+R2zX+B9xLJ93g2pM+KG2qP+7j0xr0hWU+0kf66FjBy37HrJhByapJaKTR4G95TSMHJsHgNxEYt+WwUtYEp+VknAyvMgWQuVezhjaHupEzyrwT8QS0MMI1pAIAF5S+ihj57voYt8LmOhTPvnN2Big9L5NTyyAAAwNVe17mQBVmHx2s/WhZmawHcNHn0e4eHNmBe3MtE4R+jU4Zh4gpp4LDLHIzg8QJ6yZiLbXYZ+uAlQFW+VexA1RoAkRoNZRrO3ZGcutORTMX+XVtoJ2g4pEr3BPQ8lmNMtCBNxv53DwQcPNtQzXR1Bnv3r885XqN+u44mxZRkI02d64asbzKy3nrx0BEH6mBly+wb1S1rWPW6uC6Dn2Adrvf+Gfve2zM+Jk8WIuzz6OX9WyjGWVc57y6o0anRgqABIQYil1LdvrSQHTf5nV9hEANQ3UGwFcHtc6kPla+ngxx11gDW2sLPiyY1axP+f9W0aiOMQ8NPnIyZMxlID2iobzguAYwO8ec+wa8mi2pI4CPBAsKrvDJ+lD70sxUaWfszQJdUPjk2E729ngoerUVS7cBIVtu8Lf+1t/6xDd/8zd/4ru/+7s/8Ru/8Rtv54w3BnxtbKgihNzSkzYOxH+NjNNLeLT2pw7Q3aW+vL9ruy9dXcDnc5eh3IxrAxYFjfSyDHcDOOjNhgpOl+9HFxUXszWbd8HuV0DqyotxPjnA5LWyRH73Pn6y7wTeqwwXX7hGK0LMmyDs5tx9umcHkIoGDfA0+H7ll3xyWtmOrq+j1/2PvuQZLzdwpF+d32aaLh2LZWo7/I4u1x40GF0Zcgy8I5iPp8YXs8tzYveYnsnklsH0kYLr75zLzeHs6h6rpsqruGTf7fBLHwlECw4Logk4qNaZY2veuuZ091WhJQiz/z1O8knGyrvFO2j/ZwnelOaOKS8Jyu33JTRUc+E7CY7KduWIYyTg1vm9c6o/xUfkTWDt8nXHUPzRjWMbTC1OWN/R+dpj12sCpfzOrglYqWgz3+XtVjg8YTg0078GyyqL9xyfa2Nnwzcfkkv7XIyw1uuvGVuD8TasVF6+a3nEJn2H973QduO1oSb98mQfOyd3zHho99u1zFMD7BcLfCRO7ZMBaLRY5NbACwxvGUGNtfdOyAWyDPiNEF1wdPtagSshe59G4ZTDdoIIZUsNmgWsMnLPGtIakqfImehgx9+GqTm23VTGHDCkskPK/S7wJRwT0j4WqSAWAG/k+0aHmo3gGNgl0njtkoc3mvlpKWKfAyv4YO3SAJ7xEZ6WHq0xIF7NnuoDWnStaSOKnet+Nt6dO0WwQICNYAQQgGX8SggLKJ/4/0nYr/OJ9hQQR2fHiK6Rr73uxhUUBHBGYbV85MrbE/9fnvVimKeYuiPlKyfA+Tdo9KV+u4r6yiX5GqgZ73LamxEpKOk5DBfZrVG5oLGtgAwIbIZ2reVnHutQA1EjZoyAy+UVc3rnqsbY5yentplaj0IaP7cvd36vDOhfdR75pvO7sQcaerRD5QCgaOZlv/VRZAX65otsNOgA6Jen6SDH1OgXGJYP0NFYr11pG11HxwELfFjwdPmmGb6B309/+tNvjtmcWueMZ+lo9KBj6Wb3RocGosoDzQQ0w0qfsIkFDju3AbTa8PJDM6trDby8AlV1nq4NNQf9v1lc18fD+KlgsWCorXqrst1+Puk7rXxl91b2UL/u8qba3d5TSar5qb6sPAjg1nahJbtwgXLnw5yac4G0jqlz11crQ8zd5enS5wl0Vk892Q3HXBDf+bpzV4e6sgF7wAWToQWhBRHoBy+PkpxTW70qQL7v5BCw9gQEjiz61im2GWDtAPs9h1fSAE90GdXl/9K7eq/yeNt17K4MwCmaYMDeBWZv4KHL2Vp+Wj6v4+O/zu1TYPDq1eoUY+kY6gw9Ob2Vffdo4uk61aVJdU4DOObPvhtdctF+3/mqPb3BB3zWwPXl8+qEvRf7qxzwvXbsqyLjzeo3wbPj2BfYv/bdPMJJ5rz89+RLVdf19fRf526/w47VbaXFKxz5oTi1d4IY1QKbMrIoCoaiVAy2kdwyg8/NZMl0eUcIkyOy1Gs5v8r9Rocwg9fdoKqM3msXANVYF1i0LOkp61RQ3kj5pfeO88DsAdEpyC7yNxZKiEDKzGBAmW0lLwA2QMiI7p77j9O2/5TaGF8jOZjeffv4A+WzNn1qWatAQjMKnENZxypLDfBFL06t6FWFatelAFqCSoi9DE0QAAEAAElEQVSuU2uO+tl8rw/Lbg3EDswu28Uw4e0qK987j1WA5r99LTB0bUazJYJkAVhHQ2X6d703WeXYdQOdqzRupuk6OOguyrYIuchd/+McPBm1p3bl/zqYT0a7wbTda9F5wQcK238CHMALmatDUBm/UcILgHzv+uw6rHXmrLd1T7x9Myf3vlef0TNo0mAbmtOFLddUXaFtzkar6ZLSt45I566bVHWdep2ZHTvgpiKhtNuYWvbEuHb96a5h8zvBUhmxNQEvNGq2ttkrfLNXHx2GTqXhpWPlxTmX/7xPl0wH7HXtRo/TBBeWtfnGb/zGt5edQPVN8GPfLTdoOa5sRp3ayjEeqA0GuOnqrom64LFZBtdzLpm5NgA/N7Nq/AXIrVTCS7ff5eFmvV17uttmbHaBJ9/aU4D7zsXNkFTWOv9ALfujCoGtM993XeR19IzR8h9zrQ/4XWO/yfBTX0s3MlCA3sxXdyG+wL+O7F2f1/uQ49LogvPK2tWnF/fU9tVRu3PV8/XZHh3FNTtvTuUc1r17okDlRnB6/LOA0niIAwqftDrOZ5vu7Bp9dA3dQUfW5ncN7s5voI8t3nHdmNFSrAbJyVGrVG4mu7QrrZ7oT19MlgToPVrTumBypDSU3m7FY68nWIYeTzJeJ6hy8uTAXnvfgFx10G11Bpu8YM/udYvta8/ZTXqyAbTLl9ee1P6UVvfYa2+vTJPL8Rvcaqd3cqt/e/2FD5JDa5Zp0iN32Y+Ksh3viRHjgWZz4XF6vnuAmJMv5dSWTg1I9BzPlmdT6jDfgMGHvqZW6cf9XRbEc+L2okQvoOdEul7XEVRRykZSmjWgjajdbKnnW2mNVDiO00ZQbNpzAWkZntNXhYFBGQFGqc617EUdW/RoZJayuOUN+sJx83gfQAU9WgqDKTxKo+B0n3cd476M18wOowtMYGrnVSnoq/7s5XlwhNCjbfaSjfFfwa7AxZqdnPXJfWVlOaxrolqNWA+0K1mz4RU+LW/+D8KRaKQ55bh+9rOffVs7s3LXObgDqdaYdS0TejdjonFI2w/nKtHk2Cq3svsuHgWsZLPQiTInD+7dwM0NuBjrzRBWCRVA7TjPHm3ZCnDm/o3MVb6vEfNesKAP+nEdC/M24DL6DKRsPqypHQ+1bHXRdopfdq2G4ZZjNgBXwNngCzre9fgMg12R0b3nXzBdZ8LvBffX+KJp9VADWgxzA0vab//2b7+dszX1+m/uSuPKSJ02Bk3f1pQ1NZt4DfjGbYkHeuPX9XPOtke0NXorC8LY0nUFOF7NZIley5ZfPmZDGgRCB/+Zi/Lsjv/VX/3VNxmwt8GXMsCCiT/wAz/wib/xN/7GJ772a7/2rVTSPfCEqqRubGY39toidCP7DdLSRxwpoP7KlVZAcuUSne66zTrFeETQstfCI60ieeXk4oPL90rWJ9PWrxsv/PE+oNsgzSswfekA6CkZruzKuDVg1M3LGtSp/iRrVw/qu3vvvg1Y2VG75XnVxcZnvA10urbrlW/YdjZcUKJ2HW818H6zddWPa/tePFKeab8vCNZfeK9ZTG20ns4nB3jczvc2XaQLJ6PFbN2HBVbbtRr0Y3t3XHXcxZQXyBtvndvqygZAdszwiSdSmGN6qBUSxa6Vzcu7bOWV78oop2020C7Sa9cxNRbLSozLGHp8eQzvNMBWJ6a8UnuLt1oFst+7KZfjyMHFnviuSxte6eTaTH2jf2B9AZAmUe41Oje1l9dWO/7+/uQAkk2JmjUBz+3B4lrlh6/8wAElj86134hqhqvLLBOia/2O3ubC48s8cvDSAn/U8YVPOmeVo/Hf5LOPCEODBlQ/0kztFZQ6mhTAVb4tqSijPwlAI4sF1U3ZA0UGry97KRlAiGYsTKpsDSas8r8O3o1C1JHueAqQ2rd+Fun2uZNdBdY+9Bo7ftnTrv+9mQ7jAGIZWDRudggDEequGZbtu6VpmN76XkpHfwmg7Hkjv2XYlhV2Z+wqwfLBfgfK8Q5Ht6UTDCDa3nLcKlZzUYNV0NM5RVt9mjEaDYDaNeWudxy9xnXM6pxUSclSFZx3cyk0qOIWgLjr0FqlUPBZ41ejcmW6YL2KX4Cgyw7IHBl8clBvM8b3/f9KLhg2fRL5tmlUA0ey23ij5aBksGsNGzjq+NfQs8ECRoUTa7O2u+7njtdYqiv1uSWt11DWaNQxa+liN7G7wHDO47K1W0tVftfwxDXST8/KLJhqkLHBtMtLlYU648CdNYcMm6CR/zp3V35LZ/NWcFydXRmq81F6NNBAzuaAM8Y3A1Ze1dbXge1v+qZvels7a28I8w/8cuKBEwDbfYBjfWs1S3U4Xd25KW83CHPtaeX5fq4MVp+WR31vkO3qqmbGgVNzy2Y4f9fkBCgFNFb6eGuVn0DsDRaZ//K14wRtVRXsP4Gp64Bdx700qsPfCpvSrs5hebX99T9ada6Ko4o7yFP1TYPlN5BTHVMsxuZVB5ijBhSu03nvUydGYMQ5lU/n6HttSOfIPWvfOLN7t0fIrtWlDHW03fPy48Vu1YEc0+qwi0/RpdlrerIY5zqSqtbIQrGX+5ZXKjO3da7KA+VVDg+8bCx0Sa+NNmSxFWnVH53vVw71DQ6znzehVGe3c9BAUXFp+f6p5Pjih+uPNOADz7DhcNcr57i2onqhdtp7bWCPf5IDx6uSlN1vtUT598sSKN7nycHGY38duKBJh1YMXB1UWyGQJ2FA/m5gqsHCjvPygf8F3mujKu+vaP6hOLUVisscZUSM31T4dSYK3hH3Koc6OvuNE2JNRCevRprjCHQW4FmM3PKR278yYKMRnXCTcYFmnaXSqxNU4E8hE+r26Qm879p2dx0NFplsCXINW8sN69Qysg06AL0UKeC6a3TnXLQg/G9MlMwkZ1jmmYKgZGrUm2kAXAlKaaEE17UJ9wVM+AD4cw7we4FnAcE1dBWwOsOUu3Kiffa4ABHgGqKCbfevYNc4Pzm93YlO6Y/xV2nuv66brKKuI/zkuOjbVarXoHcMZIlRvEEsAK+Gqoblz+K49vcrCz2uzpK1P3tflYDd/4CKVnzUGUZ3Cr47glLgVy4LYCh64MQmDIJPV5l3vFXgdRIvyLx65jq1zWxV53Wzobb9P12yDVWA9q7NLM3JfvXllZfyh/EV4NwIbM817pZKc3Kb4UYX1wLyu5aozsraDSbUIfCOztcpvXSrjl8fx2PKX+/86GPbaLwAwsqOp7s3ruvU0sEtM6ZbqoPKFwAxniYX1bd1aoHQ2lB6/M5nW3+vjn0KTrdqoCWu5Vv2dZ9V2zRYecsAu3N8x+p5yGtPQL/yd8F++USgeJmQzY/HUV3H/+naDRKudR1ssx6X96ofKyO9l/kpPnI+zFM5c/x1Lly7wbI6tk/B+vJx512/LtZpK3+0v71ef+v12bnd/85psZ7Ao6cHeMJAAz1rXfPfMTaIWBtj7PvcwOatLsA7db7YhhvoqL2vI6CfbBe5aWWPvpUmT7z+ZENdw705taofiuGqN3pNsoiOMBi5qE6+DmWxwLWlzcQ2WNL1u3W03PcpKeNz+do9b5XTDWIaX3eu5sQ1s/9E76tfzJP/Wv0Ap8NMpcO1T/re/W8E9OjYPlr0T7OxU3l2958+62aOfTxnAy3FiNU5u2/34LlY5jq17n2d92JfAUw82ODYk8/0kZUf34xmJ0JJDudrn5Uh38hhHZBGCTrRzVBdcFRhATxLAIL4NtAPCCZ61404ZMQaybvrSghey+koJsqrhsWzv7rzpz65RqPMU8bXWWwzNgI72u43Oz/OCC8a44HZxswppXg49NukxK66Vby7lt92jpIYjuflB05AH13inI7HvCmHJuTAgjlxzTpmjJcyijoHy1p3y/b9PuM2Z4aQKnne8TKfXQOslEm7QICAl+/x8qLC22xiju36st+2ngc/VjnXcDd6XUG/2fvNnTF2jdNVJgVDzt9vN7PbUp0LJPq6ZYYFQpxZ6zWaDXJ8ncTLx+751BrMuE7BBaP93ECM3ST3fQ5bS4c4B83C3Dlv0IfhMYdorbTY8XaMNN5m7EuD9v0G0jrGRus733UcCh7oBUEeO5FzJrpzfNuO+8IXvvDuUQUcg0vz8pa5aaaigL+ZMnqutC2gEISxZoisui5Q4dX1lQ1oWirx5BS4juMaLCMPT87sDZ50rqzh098nB/Y6TWvTu9/5nd/5lqn1/EdLIapnAJIFzgBPfFVQQJfuOxoJKJZn8S19Sr45WoIDDdSYpzpsV55b4nf58JYP13kArHvcXUJSW+F52srk6Akl2dO5X/d1X/fGy6uc6fp+PPA0n9VTX/M1X/P22u7pHnWlRLOVPK6nXI+d0legsDQrje/aW/a3WThy1Exk7U95sVU5BaK1JwX59AO6d8lYyw/xyStHvomDJ/7v7537Ovcda4NPeNM4OnfVJWycgAc9fB1x93MP+AJNjb275NK1zjOHlj012GyuC+qN5QbdzNkNTsAlNqiyXAodrBlme9jeOy/o2T6goSSP5/U2oFb9vv4WHxeXcbbrOJlr+kfgv/ency5eaPDCNRuAc/5oxMktz5eueKwY01yic5MZnXevjW96d9hueuBmaa883KA4PVs+EGCqM0uHuC4/hrOJb/bu0Xh0Or1R2+D+/1vKtPHX+GjXQB/JCGuq6YVhTTgfb+G30aRZ4uvIetUHQ++LWcmhJYlPrde+uOVDzdSuFVjfCF1T2crIRiyAxPmOZYAxdstUW9tPUNyvSrCRN4bogsUCHO/97Lmcoh3rg3WdT8CzkaEalkY6/H77XSVhrU4jSE+AnxKgaEU4GO8yj+sbc4V2DDQmXrZANFMUq5nNzsParjmHuRmgOrWEtgrLq8JRg7lG8XVXYwrpCoO+ybLvGnNGKQGPEpnwCUBUiexaXTMD8HsUkPYUsTLf12jhHeDWhgr429wZY41O57mZOLxJyaGZdZFoWiVbI16wb26aqX0V9aozgV74iWx5lAWD1/E5pwDL9dDx6X5kqM7B1Ss1vDdyd+UFYBi9t15x652tpcXj1kb3Xk+g8eq27qDZXb4bUfa9wZfb3+qOjqnZg2bjfGfACkC7XrFObde5clov+Ny1J0NbG77/lGebswZYOk/XwNeotd+VHcfjX1lku2dzavE7mjbTQm7YjUbq67jUEaDHALonPgW273yXvzpvDSjc+W0fLn9uDe2ytJ61Xcfq2qj9B+TSXbunIGivS2fTmx4bdcFVgzRAKJDot1a6mIvqpI7zPtat5cIt+y/YdF3zj5ZK2umZ7ikga3odQnTeOOaMLmiw87b0oO3qWv336LqVgn/913/92yaA+22OrGBi7SlalA53YxO2GfAXFOD4whb4U9+asdw5Bau1D2yEcTVggDfJXjfKAYCfAg591U5V5/qOR5pZujKwtvs12WCMTRS4Zu93A7QdLx4mJ3Sy7JE+CZjre8v18VudG3pUckOwu/sxqJqwBtW81fmord21u6lSefE6kbW19jHRp86Hsfh8bapWfIzWNiw0Jvz1pKuq/wWC9UfVhPL/bhjqPoIMnV/6rpU2bZw/uBTdO2elQ3mmGcHikuqmjq+BDJiSvpINbfWgc5/wOZ+jT/DomBqYaf+a1CkfomXvfavtOu8d958kEINGpVkTiYIbvnNeW22At5sYu3xClzmv923V0NUVxqz8vfa7trD8+ZGWH5c57iSaDCALqLgZ2Oscm6wawk72XgCOiWQECTrl3YhMlcwF0vrcZ7gx8I4l3HdNaAXlgvj2G/P6zZgBY/cq85We93MB7hSv7HOVXQ1RS0XtfFxAePtfoFzDsPNm6GUojIsgEO466Zi0UbwKTw1bnTWK1xzXQRZd3HWAH+Pv/Z4ykcoZjVnksY86cU55vUa9/Gpcm4Pdfw6C3Zf7aKjyodb/KrRVAIxEjy+47/kFXJRNA0Z1PC4Q6XsV8QWk3XnviSYFWZWvV8GaS/P3HXOVc+e1/cCH1ow209d+NCh2I5tdg1qDXQBVHn6i8av+d+4ajKrxfioJrA6qDvDCx3QuGVEK/dQnxm3ZLY7BHKaCrgs0G/SprPQ4xrXGFg0qx92xHOiu/N71Q9eY38DTK9BDN+yedkM2juucXufyiX+rqy7oru64bfRdNrCbIzr/yejTlbuXAMDu2Q3+8DyewH917vX5OrXoQH8WZFWnXqdW/5qxol9b6VQZqlNb51ffZTllEmorumv2U2Bucrng1YK1C2RdsH91C7294/fol83JNv+bg7vfF8BlA58yDehbwCo4UOzR+SlgbWCtgZKeh/bl6evUVr6cqz9oSo/UqTUX1TPl5YvzCmLxyPsCpGubw+mSK7PNalV3txWrXZtQnIUnq7vrLJa3iyHM6+6DX+EkNBnWIW/mnLPbrDqHr3hO365Ta36eHEm/qQCQ5Gk2Vl+us1Y+77XQdf2YDC1gIxFSmnQOLvbpfHHsZRJv//BPg0/XYblB6fLHri87ffm4/kGvQ2cUq9wAz6X1GvvJbrre7IPXdeSeaF6f5eqJixerV3ds/Q68WftXLPckl9dm/ff4Sl0rjY52bt+12F1rztd6HxgW5nm6P76+8lfZfdIRF6v1nrd95E4t56UDux31WsZsIL9ZnbebfpDVK4i7ipJj03VEa1c5IMoaZnG/fV9kqga8zE1hrTVDwfmqIutkckLrPJfZK1BKRpxv4xOPHGl/7F58S0r8X8a3w/N+m7JqGr/RXwp8WRD9EZmyVsDaUH2grDh6wAljuO/KV9aARCUz18goC1oDnIBLRmHfBSw4rZzOq0hki3cuw7Njlb5vbCJudhW0+7Fxuh5g3ZLv6xya057HIIvOKu/cPTi26AmcN3KPr43zlUIWCTUvyoKs4W201nGMQqOmLUUEagtQr7OL5/biII6GyrQLrgpOGIqr4Nsa5Ln6o/JzHe7e92bR6gTorx1p0WMyfoFjgzJ9oWsjjZQ72nVeq5coa+e9T1F33hlYxuaplFN/HL8x4l+8zHGhZwbUm5UuvenRlc+vHzt2GSsVKj2ugOwG4eqYF0zWsTGvPtcJ76NRWorWx051HsrD+lE7coFjM4R0+/5raXSdiK67Lp9p9OP7sg5P7Ru+4RvesrUNftyy38qTjQDRBuimt5slxCPobbMyutA6VLoEPdATXej/OgcFZg0GdZkIxwldyuMNZOgrJ4JNUfrpOBv+eOyK+zbId53alXUvkLVdqa+8FUOMdpuL7/u+73u3dAfP797L9N7NS9yzPDH9QlYFHwpwb7CYXtj9lZLDOw1MO/e2Bm/6uXapvC0ASa+QzwYeWknRMtnqMY3c9Z7XVmqzF6Mt56w2ojJSGTZP1afOKT/hY/dHG/xf7CYYW17AazumpaceLbLj8cCtytvL5n/sx46Rqat8XCzkXVVCnR2yj58FymEqTl3p9MQjaFp+HdZcAGfBm917mwO21LrnaHAwm6KvnpzhGIGcG/hqUP/yR2lafVdnvJUsaAIf771YpXqDXLhHg+zF0OyP6iBBCY+Dgptq5yrD5adWJgnG1Zdxb0uWVBcKALSiozIF05V21SmcVLT4f32AezYm+LyOP0y4d8vHpovQp8H9Jp/Ke3VkXb/24cluXMfePHcuL03LD3+e9ufe/fh2sr8bLKKPeFNqm7wpCFk+z2zkEChjMImYh2Gr0mPUMLz7MCxdgwbc1GFpyUwZvMa1G5WUkZstKdAo0KsDVqFyDAdI+VmdJUzy5NSWzveeN4tMsRPSXW/lVBbi7xr73nIzYJ0SlOGxe6xSMeMGmjnTy0Ao+9z3OmCEolkEfNKs1FOUa9dhjPGVud7/VQ5dQyGDveaYBiTcu2tVS2O8Quj0s06PYwvClfd4ODZlgPaNvJk/dFtzXWsy1ygCBkYZeYMMHGjgtRna6wS0v5WV6yCgz7IWM/aMaw3hjdg14FKn6CkAViNafVIDX+V4r3ezZPrTe41OdgCc/pncCX70XJ8FQnqtW5Z6gwDlmeq/J8em2cubNek6F0Ci+qYg9WYWKkPrrzVBt3To8rk52HU3x7/zO7/zBn72Ozo1u1LAUUC+96fsx3UCKmuAEMO81qixQMSlczfuqC5Rrnr5o98509d+kffy353zC8IKzP6sbeWxHM01QEe2p3apwMXyHU5uZbEVGfrcdVmqZxzjeLRA/zq1XcJTG8WZoENa1ln+NO/0VksXW13Q9ZwyYLuux3N5Fu0FRVcO8cEeTzXA/hu/8Ruf+Imf+Ikvov1ouP0PVmK8cuPPfe5zb9+B193T2u7yQQHdlZsCWrxxA939jIatgtIqZ3V0r55qlq7XdZxzLUFw3T4eqsBTPyrXWnXr1Xl+q9y0Kd9uVY1x+lwMVeeuTlIzgs1kFVy7RzfNNG97Xce6ukOjn4rX9Kf3bZkxHMTmCh47pvPf5Moaea8D1F2F6bgGVzsn5OZ9bddetnwBnPH9nNuf/Mmf/B8ymL129TwcNwzQYBmnXDYTbYqt4L3Sr/qtrboaXegOy+fwQQNG5r82sBsnNYsKg9I1dKQgYR/d88QblblL44tlngIWGqdXsmnHuPdojXZd0lRfoTKzxvGEKf+vDzBFdXFfeAmObgCXDnC96p0GUfB3z+k4L28VA/jOFjTYfWWz/frInNp2qh2+ndYYbGvxMBHnFJGkoDt5jCAFxRgw0gxnhcmEa9fA9FoMbUuXr6NKQGuYm1mokei97nn6SQE2m6A14n5pXuPTcxzfqFgzf/7nONXAjaltxMJImJtGdCgEzN7dXM1dd28WtSRs3eygUaAbyXS9q3ApNs66CFs3D6vBbMlVlVuVKgFq1Kv8rHXeS9deD70aHBBhXfCA8m9m5VYglF/NfyO+DA3es5lE10bpQ2lfp/vOQRX3jaSio4ifqG4V2RPoFwR41Z7OfToG7XvcKyf5Gsk62mgiq9TS3Mpt73ODaHUI75jv5zun5c0CUvPsJft+M5ccD8fJhJHpOgVAESfFToV4jlF/mgtOxkB9n2VHVjq+AtC20rL0ved2HtGWjjDmRoplBZzDptyMa6P31ZV0RHVzbc0Tf76PL43l2pryXsfd86YDCoAaqS8f6191C3oYb/kYHZu1MlZ8t5drAROAU+dO+WOBXAM1daBr/1pSfB2xBmVaWXCdZzxhP4uua6vuqi6vflwAaw7rAjNtNn/6zGc+81ZuPHC/3wYkXY9jRP9WPp54ogDQuQ22l+9q0+GYykn1Q21UZeg6heXvG8DZb905Xx8KHC9vPsnOk1N7j38lLwLGTzbOq/1tBU+vWWxXe3+d8Mp28dIrZ8338lDLwekkcnMdvVbr0Emtumjg4wL8J8eu42nQuQHkXusJu7SRocnDeN6mR3UM28xt6UQPc0L2u4D7+jdZppMahMaPddg7F3SO1gBL91PBt/ZCKC/cAM3FiU/H3eAaHvSkAk76nbeL8duanX+FjTqfkhv6q0rR/LtPAye9/5278tpXfbAeeO1Wv7TvrgOvu7f+FndWZp/4o7bKsZevq7vwWdf799zajf877f/W7sc6ql3hM1iTN4ZZaVB3TPV7d2fcNeroYs5mmwx8xyPGk9K7jkmzmQVymKrM2Gc2Mb4FoN3d12QzQiZJ2YrvIuWjQyP9pRehtQskmhsjBrpgn4PHUScAym4xh2ilTN9eQKMx7/9mx7s1PsdYpGlrl9BAdosgAtQVOGOQTdx3WXvARcalgY+Wk65/1gUbM95zTWtaZcNaAlml/GrXNf0wn+UB46vxQ9tuIIRX9txE0TAlLYClOdTvBkOs+x0IxiNAv2gkJ6gPbV9rtLFG2zzUiFdxVfGgs8filC6AZTcycZ6MYwH2K+N5nT/8UQdeBq9yXUBWXeO3gmMbwYwmStBtmIFHKPU6VK5Vg7WGz6+xbLuA8UZJmwVvxtVmFc0WAKeMsQx9neGCsI1LyTWHoCWFSvZuX42pJcHdwfsJPNU5RaPOo+yjYwviCyw7l2u3lK+Zc2MQpEAj/IjfG9W/gc2OuxlTv9/gYftc3n1VUfM+Y2wtrPvveqqW0Ln04+DRsfgW3+CLm6ktiKszW6AkSys7QEfc9WvXFjfYcQNhBYv975bB4rPqJ7rTTpt22+zGe17NGFTORp8B+JXQt33P93zPW9XY1s22gqG0co3qkhu8uRkcdMVn3auipeA3sGpu6vjgR/xBj9FNN+BR2vbadAP79gSGb2alWS/837647xPgvXpZY8dv0NB1zXlpjn4wxlqrPhx3gzl47+pvL/aazEoCwIX4ajaabAnuFCOiJedHNYngYcs3Kxdkp/1pcKYOQvnMeOrU+P2VDkLryc+qHRbIWdnx+jYbc6vTnua0fCZIaiO/Bhn7v0Bj5fw+Hk/jeF3ebAWOPsJxmsCT66EBHqhtbqDTdbpMhx1SEWIc+LSBqiY42vrYPnPY+W8ABo0bsMZr6GlOmogojm3Q7eK4v/CBzaZHBallpuvoa/Bp/ZDyQgOaT9jrZnRvAKdy32BZK2IbxHOdtj+Pg/vncmqvAr+Acu0KIOU0ZTGjss/blGTlyK6332WXdh6F4f815Q6cjK49GfDGDAUp+lJQcyNCN9Vf5cdZaKlUN1swdoxvtzx9NBEb14D1APYFHn1vdvGpVWBaLkpYuzuucXetmhIOoHf3GtNP+TlPiRvHlKLasev/SorMxZSANaSLBupLx4hvjM+ccNx2jWZc64hy8ClvwZD9tn6s1Gy8tN/HQ82kd13Yjm3ZNGNlF8PbCnAoBHNOyXRHQt/xrlK+8fxKOtdHTrp+LLjRstCC75bQV2m1zOWWReNT8obOLUvH952bfiYfu84CFssy7+U/59fBbGlYS2erH3o+8FBZ1bcdU+MHeLSfFzh1XMa7646vlo351Kc+9cabM1ob03h149vctCoEwKf4G3G/u2reezeIxng1i1Z5rpz2EQIAQw0yQFW9o2QIvcjrxqu0umuwC5Iu8Gxmo87c7UOjxg1AXgfxArSna/rdMgDX7Rq13dPyDDLbPl+6M9QtXb48Q7buBk13LG3NFtxGJ952dfv9XNDg+/RvgwG9Vp1IgEaQtOBEsOaWOBpHHSvXBnws33E/YL380YAxEGP+0LCAqfMkUEmHVr/t1WoCwJJd6GOKavvoF/Txmiyt3HLrltu+4zu+491jMa5Dhx6Xn5/mtd/R2fx0jw5zWyBcHYV3jMXx1/HVgHqA1bG1F+baPRt0rDw+tf6uT9fp6ctx79PLXTbUwLbgOj2rX3Xy8Xn7TE4vKG/WuwGOO0/4pTrPd5/vsg+fBT7rTDc4XLx6l6vo89Ub1xY/BR+uM/EKd3cepztn81ZaP1w0nGQJTh06dOl1Krva7ud5zdMzwzP0CQd9tJJkMK4G1Mi535/WxNJrSsgFaK7z2j67hgDKLbl1DdfvnhNspCAa5xRP4VVYr4HCtiZwzOMN+tQvEQSQ2HO9YUU+gmN7v9KqgfvK7pd/oB8aZEHPBtnMv/E12dI+139yP5UK15nFP3d5hGuSpQa8YZx7nSe5+MgytW5ogi+gazSxzlW3+RZBAHIbEQM0u25nTZbQMXVqG9UDDJ6iIgjrvn3GHsdWXzkzzZIAoc3AmkDntCyMwe16i0uz2xgp7So0tPVfnRwCiy51rhttApRdA8AumAXmazxlGZwLPDdCBPS07KQGphGvLkLnkFXx1sAD8sotCan5kGGoMb5RTYKJJxsBbqsh7Fri8nwBel9oMtpRduvfFNbv//7vv7uu7CxjWNmSpW1fbtaqsrJjZYev4q8T4nt5rTyG/pPNBQLsLN3o4Y26lz+7+Yj/8OIF+eXde53+9irqd2Wm8yq4sDVEew3kegzK5mDj29gEbyqPgj/d1Mu4AYka7gusKP7yeQ0zvSJTJXIui1yebTCtj2y5vKJ06q7ruhHXJxqamwKR6ktyt3avVfnsHHZea9DbH4atmxahdytHKpt1TgtMgcwbBNGXGtjalPb/gpDLE5XDrtV6ak/2UHN/unLvA5zuc6P8pWUDrzYoKl3wpus8zbkx10FoNo3T2OUR12FqdqyZRnNTHQnk0O/lBefSl8oly8vXljQY0N9q8wVu21QudK4vcEI3YM0xnZMLvpwD7MEXtfV4sLbV964pu/NTHnK8c13zlpLeebjOUMf7pBfqHD7x0CsH90k3c3pqD+CbJkhK6+qe8tErHut4Oj912i4ovnJZcF+n+ckOlz51Qqsfrp4sr5YOTzSrzFV33nGa04tdFriZzVtmdo7tvnu2sySNjHZxxxPfXHnj/FjTv3b17p3LzoMx41u0asDsBpTLO8U2F4vBHsXk5EWio4HV7i9Qu1m/5b6KI9vqDF6boRWX02mOLz6TLOvvT/L2xPtP9//yhyV+7GL1fSt4eo3yQytlKguXR8l9+aD0k5VuRdq1k6/004fm1BaQ+d5IScFflVQdyV5nBBRR4XwpQ905MoqiaIBmAUEJf8t4WvZKMGoQ1kRWEbUga9/nhAD3hLBZKA4Wo0TYCZWIiXEQvNKtE4ZZ3EO7kbmCChO/YwBfY0MXEfjRFsMJEHDC7X5M2OzYrN/6PKfWDnTuQymg6wUq6MzRoHgAp30G7ruub6/W+gNfHhS963IICEvXz5rXAnXjuOsqaqQ6J3hRaaiIV8FKncFGwlzD+Ndv/zPq6Pm0DqdgslkyPN5+mwdzco0EhVIHZe91xPYS7FjlwyopPL+3wQe0N+7SVkbxRjJrpJ1XUEtHcBheOcOvQECPR9/x3jK1zcjuNxntRZvn5N71eoIjXe5gs6JGUC+AuaVl6NtgkUhxy45Ha05tnV9y0ezsdcJ2T6X0F2S5RvtdHY5eFywL4thoja6wTrxZiPb3Vi5UNoy/617p3Ave9QlvPkVoyREZKG/3VWBQBws/0BfmvXrg8lUdE4E35bPXIJdX7/925N7/feSCQN6Nft/gaee//WSHWkpZUGpcDcjiW/bY3AE5ZJcNcp/K/wVZHW+zXM1OydjcYF75xlxdR8J1/a/fltrQ02wU/hndrxN8wZuSSTJ3M3Vr1c83UMqmmCdVUjeDffVmKy+uU3PB4Vqx0S3LLP8+8XDHewMopW9b+fcGher0CMajOVquCqXVBvQFZ6iB3f7fvraVnrfd6hSvYte1Vi00+Hjn1XhvZoqs0fH6fp10dGWH63TfufG9sn4dOfy+vtglvzQfplh2diX4so87T0Xd7B5bc+0GHSSgyJbW+WAnlLW6tydwdNz0CF0l8VFeaoLqzmGd//KOVlmqnmxyY+cWt3PCL3+TpZb4cvz1D48o60dz49b0tWM3T/s+Ouh7MSudxg/p/JTnmtip09/j/vQDjCgh0/vcLLf57zWu7ahtv/2uP7CXNcLOr1xx6tdGx/qBT/JAj10f8n3ty/70z3DUb/3Wb33i677u677kxT5uH7eP28ft4/Zx+7h93P6/of3oj/7oJ77/+7///9Pd+P+r9jHN/9e3j2n+v759TPP/9e03f/M3/4elJbc9L7D4uH3cPm4ft4/bx+3j9nH7uH3cPm4ft4/bx+3/B9qfqfx4dflr/+gf/aN3NfpSzTYmUZ6773Yc3Xt3sOsOYcpWV+LWXTZbxndLY7pGsOUaa18q4dySt1ftqU79lr+0hKv3b2q/pS77feU3duzdZjUrad5rO+P+4R/+4dv/+76SDiUse17k2g/90A+9PXqgu+op9WmZa8u+SqO7FunS4+nzXYtZWujfLRnpPVvm1DKXNWU4txzKNVpm0fLqWwZ2y7NaFmEnYP8pw165w8o9v/CFL7zNw0pxdg08+K//9b9+u/b/8X/8H2/lNPqlJG88rQypawv6+BzH+q+lgP2tdGuZVMvNbmtJ8i2Xvnz7JBstWWwZyhP/t2SkMtkSs85T13d1/Xk3W9MHPLA5+Sf/5J+8/f53/+7ffbeGSVnh5mfPnNxGFz/wAz/w9pgOuyl63IJyIjtQKqfU35Ya3fKn7rze8lLje2p3t/bOIz64JTwtQ7slsi2hatkhPlZihu9sLIFGKynz2KVf//Vf/6Iy/UU0p6s37p/5mZ95O3a/4/N//I//8buSUnyKpu61Dc1cY8eO7vrSNZ53zwTjrZ5ueWlLaEvDJ77/Ur9dObhr7lpi1RL8W37aMsHL43TKXtMhSvX22TxNh0+f2xxO2frO+eEf/uG3a/6zf/bP3u1OTu9vnfd2652eH6+vbF7fbAil3LIb/3VcSu6VdHZ3TzypfO6pHNZzb41755MrJYdo1PLE0r/2ofRtSadr3Lnq+cbTZ3Wvtc93Z2HXMDeTiX/xL/7F23OB1/7m3/ybb3xqTWFLop07efn0pz/9VpVmHsb7wzF26H96RMm1u5efn2zvl2pPZflXj3ypc0v74pin0mT06FIIpez005akjL7j220g2I2xxvN7/at/9a/e0fxf/st/+bbEw/pi96sOwJstF62+6JhLz/a99q00LtagF7sUpPe/OMf17lIv17EPQJdu3PLPy/9dIuF7r3HtQeVon+HIfbf2fMf903/6T7+Iz9lc+nxytF2QV5a8tbbTM5b70e132UPxVvd16EaHXc/N5ncZ2vBSN2Myvr1mV6YHVyLdOX2aj8vXLUe9azivrMH8F0cqI95rdnEvSxh+/ud//hO/93u/9zbG0WtYkY4fDUeH2Vo034ZcO/bv/b2/94kf/MEf/MTnP//5d2v6v9Q4yvvvk139f7Jp1Yt/eq5Xe1ZfoHJWGu3V3Z/ZPfdBX/rC/VqW370eOh7l0sZTzGx8ypnNzfTNdM10yz//5//8nS/6P+3UGjzQ0jVmBAK43f9jVI4tQ9mdYy3Qtgtvn5Na4l4G7dqebl7zxCz3vxL2lVGp4u+EXCPd9RcmRh3/jgXOKa4qs43ZuoUCxK4pqcM4Wlro350Cu8FEDZ8+XXo+bcrzyjD2umV8tMB4NZJ1zqwp3Ku73FXgCNKdG/cvUKny7yNMut6C8fV/1zkwqs4ZPQcmjXHn1vmx42b5xdb95qEO1N3Kv3zuvXN3HdcK+HUELvjAi9eQXjm4wPECiCrBJznA3+ZJvwEDc9hgTncZfNoQZ+/WzZanzFHXa1oHMgW54+zuS176SAUbzHRjGbTGixyy0r3Ob0HKNUSlf9eKVB9Zd/Xk1JaPKjNPBsnv1k451+NNrGkHNoxj9x2AtN7T2k361X3veiJrSruxFId29J4e37tHMNj8rM9ltNFGf78GsnSuHFz+w6dPxvgeV369hrWgx73pLYC260b91rV6NbJo5XvXiemjvSGm33ctj7ToIzD2/+ZyNLXOfnZy4GngaC+6Z230s+7oyk03JBNQxu824WnwgIwW6Hvvmmjnbz67CzV+vzt9onFBY2W+OuPqnCcQBqR2LT/6GlNBdV+Tga5V1k+Pt6JXqmfRY+duLubM7n3fZyv2fp3ap75fPn0VUH4K5pSWT6265n3tOsHV1VfH9FroZ58HwTS0X7Mr9WznjhnYtK59mxJ1z4G10U4CpGPrnN5gYm3fpeXTWtUGH2+QvP/BbPDYtYlPGJAu7DGCiX0k0NVXXQfb/hbH1FZyFmqbG3RBo+IG/Ni16mvTLesbx/sG2z2dwcZpHmVzZboYgHNjzxM79nfjwmIvvAf/u2/3loFrd0zntbvv3sBy8X1pfNcdN3j/tGmR9bN+sxbePK1Pc6a6PvrJOa2Dt7n4tm/7tk987nOfe3N2K3fXiW1fXzm1gobFYHVa4RXjewqcfNl5xOcNKBeXV766WzE7UhvpusUunbPqu9oH+5W8cmodT6bYUI8evTrhQ9v9WIdE6ruguYJDOXbQBfh1BF5FDW5DrFcDu8z3ZyHA0zW+1P8Y4Dq7BRsdcxVpnc0+WP5GzrU6IgUoT33FKDVErwzljcqhXaMx11kFdgjIdayd04i/367Qut91vu64yw8W7d9NHtYEEqrMKLDuYrhr9DFCDEw33HAeY9XxN9twNwpqVrbO9ishb+t9qkzxTB3eC1DKl671ytktrzw5Ff3/KepZEHId7nv+dd6vMeo5i0ID1jItMyzdeKr03Zz10SI3otkgQ/tZetiIhuJ+H518ruK+c1iZdx33fjKKWvuAt4B7TqfIvPnVBw7ofpsDKoNSWu2+Mot1lgdO9990tcd0yWbXwfVa686NggsDKPcRF6WPOTCW6qdX/PlE/1ftlR68DhQ636Bd9cbtA53Y7CadriIHbUZDVR/7TRa91xQsGL/Pqd01B4T26KllLzbP11Hs5oHd4XPzXZnqxnfd2KXOb2VegIFTTE+Sre5uX2Bv/hosLGjp84Jdr0DzyaErva9zcB1Uehnocm2bm1Xfaw2CXzAJyI3+srOt/KgeKz9wcC5IJD+1D+5zdeIrOjRA8/T/U+sxrxzDguQ6DrX14092yEaTe3nsFsdpx6j+oAcuzet44pFX891+PP1Xm3QdnmKjixv875gLvK/T0yDUdaZrkzXyfzdILN+iRZ2MjqXjedJbO3+6ozrnyQZ56oIA1sVg19m6GK/3rAO1l4CQ6hEVLPrvGdquRQ/SHQKqnFpyyieQXDAmNrn0QRtj7HwZ3z0HzWtjO/ZihX3n+KPf3YD0zrNNKf/6X//rb+O6DqDxvEoiaNWl+lUdRY9Ul7HRzv/jYGPjLa64dtmcN8jUc4ohbgCqPN4M+OW5Bqwk7CqHV38+0ezP48v9uZzaCmEVtw4TqD5wuTuTmbQbdSqhb3S5k9zPT4C7RrfEbP/vcU/EegVAr2NW8MoIPBkvE8gJxLDd9a/PzC3ArtG+jpxro9kdU+ksu3CV19McPxmMKr9Ly479iYZVItcJu0bWuZ3vV6URvW+ViN8L7HpvZS92elZ+qRHca4D97r8qgvJo56AO/hPP1uhfY1cAVjCq1UA1I9Z5u3S98+r3Hnevc88pPxbE+e3JsLgPOlz5VFaJV+/z5qrc6nQVNDrmBhauIet8OO9G7PWtBqMRxPfpiLsj4RO4ujrsArIGwUTlez3n9vFhdO/op5pGvwH06hbjHlDasR5r0OqRyl9lt7xw6X0bejQT/0rv6tfl2Sf+/1JA+Mlh6m+dmye9d23QPuPLjXkOVB+H05Jsx8sCaOi65SW7/hwoj95o1lf/LFuxw+oCEeZcMM7ztq/+BCxvgNCc4Qm8UxoLQLBVpe0TCLnz3mDTbQU2BVDoXCxAn5Q2xtGy1lZ6PD3Sp4GJzr+suiykSgTXY3/XD9mplSh29+se4/qt2ukjQ1RFPDlLlY0nXVw7XH7vePBi/6seXGvwvBkX59vFHu/RRa0sG4gXCMOHVz7LE1cmr419wgqVg/t7bQJaPuGWtifdUODumNqX2odW3d2Ay5NuegLoF6S7V6vzrm2pncUz7MF1sGCBVRd4HGV1RfFl6Xt5he7AJypx9pmNEfxq3+mNLkupw8hJVml1bWD1Z3myOM817q7B19ny6s7IT8eTUbTm1N6Auoqny2fTG8vO7lFKG8OtqOlYLo8/6cfqWXzCQX2yi8VeX5nqM/+VjtXd5fFe6/oZ5gifVn9UhzzpgVsxdXna763uqvwZ0/t8lv8pp/Y6NZchMX6j9gbw5BC+TzFfIlxQeP9/BfxffX+fMno698kheHKKn/qMDk8Rk4Kfa+BvP9GmzqpjnsZ1hajA/dX7/VyHiwBcR+Yqx/b1vl9avXJ8KpgVcIJX5dtrFKDW6HUsgi8qCZQmdcy3r3dsvf8TOClYvnOBJ56cI2Ov01Xa1eF91a5c9PM1shcMv7rGNfpP17u0KN36+d53rYGZKwOMWa+JRhzNe80nQHPl5mlub59fjeHSq3P31IcLcPrbq2uhKcfEmF9dq9k1znid866ban/3LkJ+n1n3Sk+3MuGC19LglSP01Jz3ytC/r73i+afj3ge2b198RqdG6ru+co1OLFh4cqQ85kR55gCoqp3STUmfDOzuPydD5pOD28ea1Vmg3zp/ddbuHhcXcFfH3bl8msPrOAI7fcSGrLB21zjfrAu6tzy+NrSOjjGsPQUkr5ybT7KlVL+Zm7U+53J9H93NSfmgZdZ1PmTn4aMGP8pDr4KjTzL1xO9o1vkqP7NzXrLq95EbKjo80o0z1Ey4jK3S1GVsL/B84pEnPfpkL67NecKIpfXVU1fXV3ZLoxtsbp84KO7R853XzBa9gP+Lue7LPa4tuZjgytzllUtzzhpHzf1blfGEFY2nOtojF+vs3Mzt/pOBJQOCOdeWuI++FT8VL1X2qs+qT+v46mODM9dGOrYYGh30d+erPpKYq2P3FDjh1M6hnTwIHnVeOqfvw8SV9fJlMW359EkPf9mDna0tKh8VU1wfoY5r+cw4yvPvc2pL54uL2y6GLn826PShO7VVwj73v5ul1bGCggrkWo2KdkH8qwFV8TXicI/Rj7b3ef5XmXZiXjlUV4neiHINsOOq5JqpbWS/iq8RoALUKpwCqEbx6gDUMfFfP5eOXbNRZts812BcEFe6NOIuun4NVcdmnQAaUxKipSKBxu4cxrnO6v5bXwFAGQprmlfiShGXZ4yl/FCFWSG8Stnvt3Rt7RrEy2tPSrHK6Kkc5H2GsWOo0lxrybXxdTw9v+065Pc+DFn5rse9cuTaOtZdgwFtoMKarwLRy2MNdly6thWIVE5vgKM8UPB66XTnoDS5464RKb2MHwDotYF466rohB1Lf7Tcd7zuOZwdi5cgD70CiIig1inZu8CQMsTqyepaOudm1jv2a6Cf6OP9lVP69L1z39+v83j15j3HZ8ehb2X7ggVr7q6utaHU/lt2dhuPrIyYzXSOagXP8uN8cJx2rznGaztPBpmTy/mok1m7vfvN0dLvHdv1TmhHz1798WQj+0zEOkwtUbzrYNdvmUyB8euQdqPJa4cq13j8SWfVpuAN9tZ+CZuHAdPa1vV/mdk5bdZ3Xb1p/HXeixd2PSXNMJIydfPEpnEQiiPWqjc7Pw06k88bKHC+dbJ72XRIaXuzWOZGFQC+Ivcbx9Z+7/3uV3HbE+arraAfbmPTL4077srtBenmqDoDfezvUvrgpYs9el+ZerSozekmVKW9jOR1Ui8OfKWrOn46X7N2ts0mTuYJPsJvd00jWtZR1I9WEt7gvAytc+h469XxbXV+6YLPXbsBq6esoVanHFaqI/aUSWxFRwPm1SXuv3f7AU0uJifovmOfKhJ27JaPKNuv3i899Qcf1rG9jiP6P9nLyxd3TH+SQObtw5UH53fDzzqrqrjQuM8t7oZ75ENF0Sud0OBkcUVlrvP8qsz+Q3Nq7dq41vIla9NaVlOG7CAuk2PE/v5UHtFozQXnd5Jf/X6jHVdQ7+en1mMQ3hh63hXO6wABGE8O/W0MLwZTWvgELK5iLRgt3QDly/y95gX0jYwCzL2H927SRAnU8BeM+K8RTyCldDE2O0SvASDKXFx3x1L4hE9JFSPDsa0Q3XkuHRm77rxbsN65dO5TwKYKpGu2Os7r0OIjQJnCu6UdHX+NZ1v/K4i+8/5KHqqY0cXmEQIdBfd3M56Op7yFlu5h/gvOrU/cZ3MHkLZU0uc6kfqL/7pepTS6+qO8C8j4vTJV41R5qr6qTqgMoE0zKMa6Y7brKPqgrfGNn92fDACw6LLjd9wygh3rfldCWFDoHpyfnbPjyuv+Y6T2f425PrYc6qnV4Pb9HvNKH9/jAJ22JwDZ+ej71Zs3ii1oUD2Fz0uTlva271vzPJmZM7uy4+1KOofHvXa9zT3ngw7pBl3XSXCuHfS7wQ85qx2oA4MP1vduIlXe770cQ2Z7LTukAoP93usCnt10pztoV59zCmWjL9C5AYdXGayC2tJgjdPZ3bzpG+PiYNlsjtPO6QPu0N38c/Z3rY7P5msDxHQchxffPG2OcnXJtfvd3Keb+thN1Gu/N2tbWriuuTLWjW/rZ/f+q7/6q+8c253ztCspfqteYTuujq09uECdXsVnDR5wXvHKfruJgfJ4EwE3UE4flpe6YWIDR3Vauuaydm6/wxt4WnNP/b1O39VLWnc3H89ep9amOnby3b3Ha/Dz+nx3Lq79gt369Am4p33ZvLPDzea17L/nG5d5KE7xvU57Mb/zydca3Vt9zd6Q1RsEqe3v+K+zu7GtvH40mB4jxzdrqS1LO6e2G8TeQG/te8eHd8xBgxabN+Nk1y7+Qgs8/uXHLygW63nFWoKjOxaeo9u6Mas5QAtLEypz9Ep5oHbGvW9QVYBEP+pwdx+PD92pnRMxBVzQ0F3TDKJG4wqqQdVBYjjrqbtWBeMq96ffnfe+dgXt3u8a9fajYyQ016l7ArAt17vA8UvVjAMA+nWjjJhQdP86NfqDQS8Qaz/al45j7W6K0fWtVZCUx1o3CekYjKvKpGUMrbEvDaa0KVyGwRoS96Ecge0KX6NidTzK0x2/9/JLS2HKA+h3HaWncsRe80lgL+3bn9une9xTu7xwndXOSUHG7SvlxeC8UtY1AFVSXpffO9cN+nQjtRnp6hd8vIZfukNpDd+VbWN9cqIubZ/OqS64130f/e9vyhpFRQHR8Sy63Gx0I+r60wBT5apAe9eYwdZk59D86qYnp0yfuua2xvKVU+r9lUz1/xuxf3Xu1dXNDqDLE83x6HUM+v2plS74sDYIz3YZTvXbmmqRgabpLGWp7QfwzC7i7aeg7A08qpiq3AIrlckLcp54un0qv7WqgTNn7fDNBgI5pVGxAR5TkthIvlascO1+9XHHcbN/+t+gr9eO9fgg95W95Bzql2AaPdPA9nVQug6+to2zxJ6WpuawlXDVi1rHcEsAzYcM82ymYMfGxUm/5eG7z11PjP86F/SK7LWgxCtZu61zVXmsPW3l1nUWPTqG/nQ9ut7jZS7mLK81O16Hrw6R7/pFLpvtxCvlq87B9DhadhlJ+fnKX+Wwjlt5vpi5jTOvf9cpLK3xi/8aTKbXi1mvLXz63PNrK4u5uiziFb4v/7h29U5xF0eMLKI9W+r4yYG5xUcNtBeb9Okkrl1932bH9Ce+97m87Tv+aDVkKwWKCznAsMLFJMX0X/7wyLHrn/jPsgJzU+dUAkmlkDltELN6D70baCp9BQfwwH4XyHPN2jnXLs770J1aUcUZK0Si7CnHdUAJlIkyQO+iY08OX4+/QAth7vWuQW7r5Nb4vwLWT8eVCa6CvcJl0hqd2HUp0ruGptmO2w/3b1YAs1ep9rlOgH9Bl34v47OmZNGja0SQgd6uia5isqtqs1VrDKT7dnv0/d7dQRsAwDPK1AruRTgbUaqAESrXX+ZD5hb48DiYGd86OOWrzqlm7E/GxKvlGnsHZCcfV3Fxztbu7s077joprnt54TpUfruZqSeebl/vPYzZtThC+t/rk20RNIDZPNahrfPR/laurpzpSzdvAAI3j+Vtx/ossFAd0RfZfHJIr8w9GS98WPB7Df1Tq7KuYWDUmp0FOruzuMek9ZFFGpmqAWn2tyV8oqPargkgPlXTVEZuwBG4LwB17itH/9K6c6F1rvpb313r8o1rV3af7l8dfg11r30/a4Cwe2mql0YbxrrAES8sw7Lo/uypR+a0HwIazf6yHxf0uz57sut5liS5AJzIMl0FyLYCqrSv01Tn2HjY8d5Pie74kiNlLA2S4C9r2Dw+6Nry0q86q2XKzbiR8RsopIdukEFfWu0BACuvW/PMzfVxLzK7flh7yvY1C2QO9c1cAYB1eumSZq2fnJ3qO/RhQwtKZ+//83/+z294ba9bInvB/a6/e3p2KH2D53ZdmwftPqsMYFv7+MYry1fuK6/GgbcaJOmcqY4wPuOongTKGzDQj1bv2BSsmfk6b8VOxSWwR0ubyWvpKhMqgEHPdTfglu2Sx4t1n+xnx/SkP1vhU6e8WefyDXnhaNygkt/YmeIS/a/zXexoTi79u7lUecH1Ow/XEb9BEPPi2cprfqtckmm0MSZ6TDPvsJwnAzRYdW3Cqm22c3qDfx1XbbIxKfufjJofQQ86o/Tef/f52uWJLl34irMmGWbxvRhQX6r70G5VGWuT8cl6s88NQqEbuWuVBP7TL3Tc5913tHvy8eoMX+zxoe9+zKsWkdrAF6WghA1YqSwm56Uzgia8AlgjVUFrBsw1XG/tZvU62RdQX4egjksFpu2C3+4kVwUhKtRIlOsyiB6e7Z5VJBU4YKAgniJeq/L/oz/6ozejNcHeq/2ug+W5iI3Y3GcnTjhb6lbhYmjqkOKDCkud1zWGp7va7n39oXj2jnExswyskqyrMDb+jZfD7oHiNl6pM44XbxDFcyW7eUnnDZ8wbpy6XocgU4alg3F099k6K8oZKbTy9e0P2TAHBX2N0lXxcFAde3mi4AvAmQKz86V1V2RwfW7pVo12I5roWUN0ZbHOcqOPrr17eVbk/ic7e6G50vwdM/6dLlJRsu9TmtYTWVN05/cpUNDARmX5GvWOq4bYdcoH/q8TO1rLbPV5pBdsVCbJHoNNJnbuylunC245ZIGw9pnPfOaNXislxD+eR7vWcvf+zwFoqWNlqn33vTrvCei+AmlXh196Px17I+8FXZXlOhN+r3wV7FxHv5HxjgEY8hxGOkrzuDsghr4QDB5PNHCyaxQoCkLsXgXTDdgIOLgunqm8szPk13jR6GZnrqNpDlrG2mUe+rlrd0dhtlrmyvOXBQLw6K5DThrkaennDQRbolNAVJmuLBuLucXbHIFdZ31lTyYn9IjrwzJ0UfVlS5bNSbOceG/Hs+n6xZlttr48f3nWPekPlR5/+Id/+K4MvHQrH9P9nA1OO9xV2+vadNR4kx6a3hGMuXNS2Xx6aWjZqgIOrSADbKEPzQqZZ3zTstYut5JNKsZpIGGtwYI6yi3XNpcCk3W08Ftxy3R9q22qU1UplN7dqMg1BOrriLfZxMwSqQbG6JjhLvirWTE0p5vKB1devKObQMGu637jj/axwYJWCLEfeKBBcRUTdLNgkCCa6j3PTDYn5m/8T382eFOcJeCAH9HMrsbm85a0a3RDM93FxXW+Lc3YXi6j/3/5L//l3bzThXUY3Xs0Lp+hPVtDbv/iX/yLX5Q8o6vNWQMCrk+uyY4gwfr467/+629OLeyFbpZmXBk27uqrBp1qr0bzT37yk5/42q/92nc+ZJe0VodfW/+hObU1FgVHYzDOmee7dQMRSp1ThNAYr0SnCClfwt71ujeLUOXRezJQrovhMB1j4XiT/aUMIsDY6CFDvuOAwd0PaGlUro5+IzOOuwC7jrP/1bvvNYeOc0jpYaKWzIw519zXPHBOdx/OTWlQB6ROtv9u5pHBLmNSCsD7+jtnvOt8ACznKP2QPS5fmGf32GvjH7/sWnPOb9kImne9SMGpVvrVeFGs/lNyVZDn2o2Am/cqmd3bOisOGQPRdSUFIte5rYMkI8ygXENV5QoQ1IkQRGE0KLL9PsfQs309vw3dOfjW5JVe5ZU6X8Zx+fx+59gCeRx/ct2gyZSwPs1oKB9a/zx7ktwzjvQCPtAEzQrsHdvPfXdd8w7UAp3Vod1ARzm9e9KhV1d5v6CP/Bb0NwqvdQ2xtjWdo8to16xFM3OViYIxgKPgjSxVpi6fXUexvPCk/145IpWPp+Ou3mogtnqhGQillHRgAzbuVYe9fW3fBcsA5ja2jF3rcgW8cR+t1DVoZItzUTmvTaGb6AVzVnt4l71w7i4IKr0bwGwWqyWABVx0hj6gifHZ9RlNqguayWy2s9ihvNUAzrXhsjjltxugIu/NWnJq7Seyft5y3YJ7j3niiF9wyg6WX+oIeV26l9+LU6pv2Bu8QQbvXgflE/JY3dPN4powQHPYxz1l/VuRUJlowyucths8ZH/oOOWR8BWHjSPvWtUB+kcvsb83AIvv6D3z7Zg6JYIrnNryPger81Jc2VeXe8HJeNGYr8PaAEB55+q7NTrt4mC0H93Yv31uIAt98T5M4pgGwGWd69C2CkH/qwOrV9gOcus+zsVvteucqdl3FQJ0oUoEsl560T0NTl95KrYWXJNU2diU6F67utZNUztX1c2qGubIcmgtD1AtCZ/TpeUz2W32R/8E7odxBPi/7NjU2r/amlZYlq9L49/93d99F1AqlqRjOqeVm+Lc2ht92f8LROjLrr9qDwmJOsXVhR+6U9uyGg3jUQgDSSKzzjHwEpYCQ6wqgZZiuFYBbR3Bev8VBgSm9Gq8nwB1jaHJ6xj1ucDoRos4taItN4PMySVkT8ZF/145tQRwQsGYjTkopC7s3n02N44TtQI20G3X40h1HVCj+Du2TFmgxyB3rBi1axoazZ6QL0plU5S9M3IAPmPZzUQYWvRyb8Zwv2/MNcTNNlD2fQE0bXgWLdHf+O96B+d0PY2IcMGB/hoDx90uoHbErPJpBla/WvmAL8jEFHH55hp7gQUlkuvXaNYshaz/Pn/6059+UzgCVsoKzd0NEKFD+bdyf2mNdqW1cVL4O6dGFlgHbOqo4P2d151jn6oiyOWNsN7AxlWs9EXPI0uinN2k5fJRgxGut3mbUt97N+a4IAq9uxkaPr86iz4R9a9u2X0W/JEtZngKlq7Tbrzkm5NEVwBsnKoGB0rzZiMLbCujly/6e+XOcfptDOUH17nZIBFnQTG6sYENjv5T6dd1zNGij4cpzdkudq2g0vxyoBoARbM6tZUr/UU/zundB+HJsfFfgzh3TirXtYWNvDezWJu7sepTx90gSfvM7hcYcSwEIcxDlxvUwb3AE2i9OkerDaCjZJL3qmNeXeY8/WdXN4fNYreMsuWzaItXa0vatysLdZ6aLS5OKG66uIOMCj74bTpev/BA6VVHzvUFHG6mtq1BGQ43+WjwmB2XMaozWTsJS5SGDfoI9JXHjH3HysT7T5Z29yq2wA/Afp36ZuCa+LiOTeWt+NWx+N6YyX6xmH6ogHL+bfCFe8FUxiDjJpNd+zW7NYwIS3RDzPLnrrkdgjm2soW7hkofNgffVK/sO+y8zz2ulQvr42xTMd5w7/DuqhCKX7vcokkMdCu/1+Y0OE+HVAdsXJMJm2613F0TmLiBKDRb/5Z4+oM/+IO3fu/ds643n6rf1ho4gR/Xx1ZN+WyH69rh/z1zxvZUNspLxROVmfVtdJdJFixrAJgN6vzh7Vax1ubQQe5HfulmfYFf8VFxw0fi1O4GIyQh3OCtpR2TjyBP2SYKaseJzlIIlIXoeJUNcCryjTGl/Fu6Q1G6jnYjs1q/d5de/yF+nW6lPRtnN3lR8rcmcrW2cVmHQlDWb45wwSBhvFnD9gnNJyTuTxCavTImNDFWwGJOSg2U/hjrVRAFuZRkI4mCB+ZP3ybEjJTooHp9j9mRzWkTtV82dxGjOrMinA2edFOAXZ9S7q7IdQo7l3izDVh4MvCMg3Lnls01wMGpaZ/n7Oy3b/7mb353j9/4jd/4orV1hNq1KD0GV3bX/Jgzin0lM5RHlaSyEo9zWKZux24MW3t1I4vjsb02vh2rFJwuWN/2fx8jUOCEfo30MjBPRuA6jnWMdu+tmwaiyIJKBeVHt1KBknbMduy002kV5QXElVd9p7/qNFWXMMK/8iu/8i7CqWSopZf0owDGXuvTIq5A9AUcHOCW4KFBHa7J1eRFmXWDA9fx/b3f+71PfM3XfM0nvv/7v/+NPgzZ3byoAAGA0A/GtwG86ukCLP917gs261xdYFKdVJDf/8gqujSYRQbIO3pt3GjC4WjJJNo1qMBoF0BaowXMbT5no3a/6bDy+c6b/uVw0OH73bn4vMEh9BboQl/nPQVeBAa1BoS9BIy6c2XL8ej7Bk/wP9oVMKI7gNX1i+6HBwrO3aMOc6tc8P90KPuy/+nY9Zn9pKe064wX6Jlj/dpLOZ9rkjMOQQNN5UNjgYcEk8xBndJijAYQbpDkCdQ12Fw+9+o8+7/ja7WYoEPPvYHe62QXZOvHkw29n4HX3XPrytcPgdYCYLgF9msmCQbdMQ3q1kmSMUd7ZblsoIDF7FornDgudHmd1+rjteqA2r3ihY6n9qQBwL13WVblFA+qHlmf8EKDr1qD2O671iUw1TuCYfiVPh9GmC2g24oz7KuDzrPNo+nsHRu9udsxO6e6RH/pOwEgNJHcWNsczGYb564n47nfW4UomdOgAd7ZS0azAQvz3KDJxr5xTwfDj+OTLo+7NK+9uHOxPg8D/9iP/dibrVnf92p1S/HQcMNot/sPkxk7XdLAKb61fEng/ivCOzfwiB+bwKtORPPZrN///d9/d132pzQn73R/dW1tY22ESgg6bHRFi913OgEWrn65NP/QnNoNaBMCjHFQKWQpZWtkMNj+GzNSvEogRDHq1F6lLtpEUCiDCY/1c3V4b8aofUMowlxmalnWWiOH+gZ8KJdtaczoQrFNwDkigBxh4OjIVCh7wbRPAlPwYi1EHwBPsStTuFmDCeYia117w4FtCcfuLYq+Y6wB0fcaOga+zn6dWoZqAGS0adSJ0qwTDjyYv2WQ1sZPFdSWUnGSN3YRRjTl1JZvzLcor4DMrT4w3qffKKLdq5FKNOFwrDH8DY5QIlN0jdAWIDUiToEYr7Kp3Wc0ailKMx1Axui/ewGrNU4bv3Nl6xrMwBOe1ab0qwEru7g2ElhwekuSlTyRjUvfAjngnb7BB+WTXddmDhRgy/4YLeuE10a3ORUt1SH7gEidVvTsRmlAhraxjdboPRntBi0ysK1kUSJNd+ETa8CNt5H+VqcAJDVQ+Hz9MI8crTpJazNcdPD6NLoIlqBL55quVt6GN+0q6byuDxdgMoaW2TdD0wxxM8qN7j8Zt5sZKQ/UCaOn6UDgbXQC+DlZ+t7MCn5G9wY7yz+us7b53vzvvTZ01+wzJF2LLLZS6VZatHqh89uxXker785pkJONaP83hy1Pu1nv8gg7QNbxAN0r6IefzCf7fGX+RvnJJVs02rXc/pZRu9flkzrLpdWO7V4B+tk5qG7rhkF05HVkGvC9DmEzhjeboV25r47s+JyPX4t5nmTlKcBP39DxvV7p2POaWUfP6bjbGjxgpwUhhpNkdmSD8AfHGZ4guwLG9kegvxrY61zpg77t2GXK2LThSOvWgW7nyCTtfjbccq/1S59VMHVe0UuwBB5pcAduxc91sBzTgJyxmrM6Wp1jPNDk0g183Gy9z8OJsN9sWB0L8tLquzWYs0ESiRP9ayDr6iqy3MApuqML3jH/spw3K7j7WM61d8+elk02jspwH5PkpYLHtVzDM8bb8GizvGvr7xzDX/zFX3wLIJvbyi7nvvioGdOWUvNZbsJQoFll3R9/YCe6qVvllpy7Bl7B8w0Qw+WlE96mj/F99cRNzBlvdWSXObDFu/fmbFiEbXoK3nxoTq1It5t0PYnBNuIGqJmQTmbBgYkksBekiLrUOIq4e1DymK9EqzCVCdsf11q7jo0+dkMaTpRM7X4ToRqzt4yA4m40bq1Rfv1r1vHW7FMEolE2ZZjAlGaE1ZzUqRX5aXkvZqdgzCvQZHwFeW8M84GipYjQs5snqf/ngMvmFYDJ7lD4Hk4vgz+mNgZjMhbzKKhQZ9C82fHTmtwa50a2KmSleb8zyEr+OJmNSN3zzav+VHmvn5x1fNFHrVQBtQSpc7f5n0EGRhsQ4SAwTnYN7m7CjrGJjfL0Ztwpx5bQ7jeGmjI0hgILcltQXkfzOoUF38bbjFTpgN4dL9kBQvWj2cR9R2cBkgKRC54baQcoCnAL8kX2R2vGpRtacOZuxQl5KmBpxUrHjrduptt86c/6NyOspMp4yZJmTvfbeGl96+7ddZB8l61Gk1baoKHAUyPvQI3nc97dnOvAlPZ1eND86unaCw3gAQiVzHNqAcjJYfUaXYfv9OMGnArKbkm7sdqA74J9Qd8GT2rrCgCvQ9lsG31ah7+29eoyeqX6xec6MOTz6bquiWYcC7QmPwJRxkonNNB9HbDqCAGa6tUGiYE5OqLy8cqh6/hvIKhObQOgdJ55KAbijFVvNBByebdBs/JL+3qPqxzcYEKPvzarc1cHpPTo9WEUc3Kd6QLVymiDzX1GaVvtH50kQcCO4qPqe2X49kaYLrETq+oJgV/vTUA04GRfDvO9/2Twvvqrv/qdU2pzI3Kw8wXtgG8ZMXZPZcsNknIs6DhPZ3BuM9HoI2FiDjqHdBP+HU3qPFxeQ8vOf4OycKd+CM4LwgqCwgkCmeUBuqbLv9heyYS16kjypJ++mxfnqwji5PX5ypXnJjI2DoF2zpHkhqqVOofFs+RXJhXew4P4++qWXsf/o8uuswDKb//2b78rozZOx8EocHjp2sBYK2u6FKL3RpMvSzIQjfEymW0f6sP1ngJLxuu82uB7vTW2B24udmil1rWvkg4LIAmA9/4f2UZR6xzwZht+JXTKRDCbeu/9NiZr1mDXIMhrMns14o3Cim6X8SZoY9yVFSjdm1KiPApW3aPGhqFFZMrRf/rHgfbIHO/7TSln1yjsHt0A4z4Kp5ETEbuNQ8lMd+JdH3av7UJmh+NlWBhGjK5UgpODqTgewIVdYSmNveZ0ioJRJOvD6unXr5UErEzHHLtPSyJrfP1mJ91lrvZdSdeuM8VjYbjSSzTbmAGX7YzW0oYaXOUynGc7PZobtJxice+Bd1HX9WG/WQP5FHkDgO0mubYxAqqqF5TaiSI3EsrBEQXba/cT8fWID0J8M8x1npXgbG42F1Pa60s3RDD3G/d4ZXTea2NviXnXYt2oeiN1AiAcw/Jzg0j4W/VBS8sA3p1n18VXyqoy2cwkI34jvuSlkVJ8UcNhbbay/O7uWIeG3mnWrdHGZrP9Nh6qw1RQsfn5y3/5L3/ir/yVv/JOSdNzfR6tDZtk65rpqvP7FAW9QazJE+NsHp9ovu+Th82JHRjN/QVMbYJPHEZZDfNQIEY2/Iffx4943SNBCubxVAH5U9TWfLNP5IR+m7zIMIvCA0o25wCIuvRF0EPAQL9KO067+fHOKG9c06HadM54oWWhwAS5wVsNwO6YW8ZHDvCueWvlzpqgXgEoPdR7NvDRAFydBjxmblTdzIbsWNUI47+bucTz3VilTv0NPtdB2DF9wkKDbV1iUkf78jm+afbHdWffWmHG5nCU6BC2AkBls9DdvRpwcGwxQO0l56UZezjlVaa2Yyqd9LWOHSzVQHYDEN0F+PJl16WqLtCnBvgacNaKsywPIQP2O6hTuuvI8ikPFhzZfaZjxl+zaV0CUae5gdVmbdF8/dwSlOkfDtOnPvWpdw5dg37GBxdZVsXRme4Y73e5CHmDtdDu7gtjjovd6NI5QXgY3lKtODmzgaNM923XkeTESR4ore3yFxljmbmdY5dkGId9k9kvjbrbueBFA/+CfMa/Y1s510ytqhrYumXj5pjOpbfGF8Yj+75Xd72GIziMTX6htaozpbezHWz4/rvVTmvT84Llpd0v//Ivf+I3f/M33+wrPSrJQr44k03akccG9hxbeYUTLF+Cp//CBw48XjYnDZqOpxsEQyeYg/4TrPEoQPbQRmIC1A3SFlsOMwsCwmP0tsDOrg8b7/fRbOfPhizg9JE6tcCKqMzaJm83pyBKqCq9GjhgFdByrRFS9oAnX6PXdTT7j+Dsv11jEzvjJPuwe2yi1+os30i/jENLg41RDbwMbWv4OTseQty1QwBDHyPCwUSXOtVjDOAHWFrb4zb2fXTe9Wwms3EBvC31okiUJBC0GphGNGXKZZcocBtRcbx232/6pm96Uxhq9ZsVmNECSnYtGdoJtDnYeeiyzzMudXIpYcIjmoomeAR/yCYAU4D2+JHw2PRo/VlftmZhPLI+jQZzDgti8DnnhoLdHDIELTdqBH39mbEsH0wxd32tbJHs9e61sc95F4yZIjDXu0Z3n5uQ7/qilvuN46mNphvX5mSvr//6r3/jLRtsFNwy/FdxWfPHoep62YIm5wNAPve40hX98JhW4NFIIyfa+mtGSMak6wxbjg60kje6S4nLms0uANOChxvpv05enf+WnQvadfMVgTYR02YPG3W+z05E/wasuk6cM6d/zX71WZqVl1YEjBZztD2Dc9ewTKQR2Ju1dG9rqZUlF0jScQygce03yydUt+w1uWEczcXN5rfV4Ssv4EnXn+7eOFui2N1V0Yfj1ayFPlQ3uK85pCcEQpqRYKeawVJVdCPrwIJza/cKwOqcOR9gQAu2o9dBU/fl0KN/nUpjaGVN9UsDLAuc7Tq755x15Xrsf7MP+nyzgXXEC/TL22QYwESrWwpZWbitmS+OntLC7m58g95A+3hsY915kyOBQnJR/VQdiT/hBnJh7HXK8BOge7PVxncd/jqrvXf1Uzc0arVINzVraWMduvV/toyOpEdc/xXwhF1m03bseKRrRBtcwIv6043zBP8kPvB1gy/wlcB49RG+3X+bt91j+neYAH5r9p6+xJto5ThOWktvd2+PRCRvV7egUzdLu3qd/JBp8ugRSvRAKzKufmqgZNfRpzrWnAoYrBsxrnnm9c6ffi6urC69e6Zo+kcuXHt9gH0aPKaXum+Nkm8yIQjHHqKzhADcBBs3CEmW2ZTSsMGjyfT6B/fL9gpe3KbqyLzsnCWhtleKjZbQ3hpkfWh5uv56nFIrDMmJjHUxkmy/YOJf/GCJE9vRwGwrYYpf6nTDu3iAEy3ogc7wsNJsv+9esPcCULPD8K8NSKcT6i/SAXw5+gIm+MidWoaUQW7qvkzUcqWbdgdGGeRGlt2jWYiCNpPBYIgcIabM01rLnl37OrWuwUH13ZrQvfxXQ9W+c8IxUJ34ptBrWBnxtYLY9n/35rC2zIWT4oWhMEVLPMu4t7Ro/cM0mNe6gV3DWtX1acJi3d3O6+6OGJTyB5o4phSY+9210DXe+ITg3ogS5q+Dy5C1DNd1WxLv+vpa3m4TRMHjzdo8ZSh9pmC6ZpAi5gjIFJm7bda0F3D5W7/1W+/Gv9+6fXrXY+K98vqaTV9EVgGFAmDnNrtk3LJrXhxeBrFRco6KTCpe63t5n3Oz8depde8r7yoKlNubJyALqMXrZLSGsHNksy0AY3PVsmRzdiPggAmdUaPgs/s0U2+jCTKG/g2MAaE7RxBJsK/O9q4BkBmPOSx/k4ebdSET2uRcZs15pRl91gqUOvlet5ypwLpjogcbSGlQobq9OqD362/mWWZAGfRegpGc2s5V11w/OYnX9tzx1XYU6LbvDc4UCN0ytma367i6VnVT/zP2Bu4apCyN8HsrGeoAtd9sROWPHryyacM/e2RwVvB5x3edYnbilumW3rfM7drTOh6V0/JKW22vMbO5BX+d69Kga2j1q4G9VpZdvVc9uTljr5rB7n0a8H7l1GrlifJ5HTvXfOL1+2o2dv2sjZf1w/ul0+0n2tm7wlw3GExPSETQddWfMBHc6FWHuLSu3JoH15ZBFXRc0JcsqaCiA8kM/NMserPa68fw2HTpgs61b+gpeHHn7AaNWhbLeXavlpvS/ZWrzsXlv87nxS5ksUE5+h+2rIPajbv6jHUBZbRUBaMaAt5zPfOk/LqluBIAvtemsYmtrOnnZmArq+W3J5rR15aNtGqSraq+0mC9ZqnnzI6Xppc3F3hu11gSo8HnOuf0m+A/3mxyhY41nw3GfuWp1iNn+A8ti83oChlU+FT/6Mj6H8UH5tFvnaddf+Om1yZvnGN+RvWi+TH/G7Pk1Ufm1GoUKMGmOMskLcngqBlAozvdYetmggqo3pcp8UIQAts1YM43qSZU9ENpcXevXUZNuYsSizqlGEYUaO1GPq2tBBz6KCAKqBG7Rt828R4CDRxXwFqy16hvAWWVRbNYLd/UF5FCEfFFMnf8FrpTLKJAY1CR3DkYLZtdAx5F1qf0ROFnBAAXYIFAXqVxFS0mL7OLthWUARq2iVduXAfslbBYqL/7EkKGVXYHX/bRHQUN+KPZKspnCt8jVb7jO77jLWO280fPRakszF+fy78MtWf1oX/XEcvkAvn4XsmS9YW7phKdRgQLmtFy91tfd6xnrO24RuxvdqAyulZwvfN/53d+54vkGQ8X3FuzRtn7XRZ6c7Jr4icGFZ+PLynl/d9dIPdZyRH9xkkpkHC8z/SGMZtzcjnHE/j1O96o8W+QSYAL/zc4h7dt+CYbIENfmmkFXa5RILo2vcbpNn76oka2ALPOjflQOicaW0C+Zg45t3Sfa3ZDk/0nQt3710ms/mf8PIaAnpaptYtns290Hdms7iTjBULG2H7U6a2jZK7MeflmrfPWrNB15vxe3W4+AUfleXb3RhOBDjYKkEfTm9nr/fBBA0p26S9/TrbGPwNv+20ZOBkmer6OFWyAx1r6WJ669L3O6z7fNf2lP/34VJaJB6qXWnJpDupoVhcCZruvcnu7swouCmiuv+1nd8hvBVR1+l6WIHhESulSejS44PeCVLzYAFrp4HeZYZk8NqqOgoykjLxd3bsu/smW6oelMkp80aF8wc66d69Fd+yek2Vlsc18ux6ayqCaP44K+UOvu8nhSn9VQI2fa7vYQ/LkHpPDz3/+829lzLPjO3eB6V/6pV96FxC38VrnrTqNzYEplI6iPx6tbWwiqK34Fu+Zp2Ip8lMcqQ/VFc2qN1i632TqVPlNHugV+pj+kBGGAcjTMAjdK3hNp5c/in8bCCN7sE6DGU+BwOp9Y21AavTmeMIoAvv1aarT69RuDKsIHJ+qlrTcZrZ77+59Nw9rcGp9rI5nw81ZgxB4/U9iV1oFJvgC9zewS+/sxRnnPE8+6s+Qa0m/BgLo8xuYGh7SPwmv0WO+heTKaNglQ+bVo8Oe+PxDcWp53gi21lrq69RS9krtAGFKS7aFcO46NizZQGyKxJmyFqPlURSzReCcI0x4wYj+VbEDBdas1lkDjKpEMU0zs8qMCQwHr1EyjQCZLAoc/ar8leXOoFBKQLB77R0zKBv2fzPKykM48GVyzElAOJ4ri51DO0ZfKfSYcX0aQ/7ar/3au92Ndy87zo2WEw6PsiC4ANZ4wDqDNcLtIfe7RssYWwZowwKllDWmnHTzbCfazWcfXbM+iKQCGG3mV1lFnW+gpFksQBLQo1RFvtZkhoH/rdmYgtsxM4TmSn8psZWxKA0a7Qu4Zjg3NzvGOmkKlzJR9toAjXJmNDPGWyaC/p/5zGfe6Lf7b45kaTaGzVXnBz+3TIqDzlGSbbdJj1Yj07kQdOpuj55xDGjgC/J1I9WclkYQd3+ZPOB7xzGeAhAFNkD53i2VuMYSQGxpE92hTFeZ6GhO59jxr9FaJdhoDNhxxhla+pAMNxC485/AIjrIbG6c0yHNWnM26fdrCAGTfm6AkZ0gQ5Yu0NVkzdpIvNsMxA12+E8gx4PiRxcPju8ukniQHSptBAXW7NwvGIoHbGLXOXEOGqEjXcJBuiBImWsdZ2MuOGkz7t0HwJnsTR9b10cHa9Pd6Ak4yEwKrjair9+u0TXi7LM+dkkAZ2S6RhCKLNDhO6a8MzrLMtiYpzaAjisdBaqtxURb6387H0809J8x4mHlx3XkWuEEbNsNdvZDJgMWUI45GkxXetxgnfrJNjBq4yyycoNlsu8N6j9lQQtg6RS0b8De9WwwOV6hp8cP3/u93/uGu0aH3Wsl5YJC9/FibBtZkoG7GXN9XL9moz75yU++o7P+GQNHGm+xpeiy6892TU976kM3gjNXPpOVguHR39IdOnfHWYJCR28d5O5DD3JiV9YJm3Y5CTywa8+pHT8JpApu4rtWPKyvzTJufA2GsTd79J8g3+Zvx9GpZO3SnEwLrJAt+qDZdrwDB63vzi8dmwxphWJ1nvLr9Xe6Y3Rk40ZPztHkY3SnM+lTc68qUkCgQb06ZLA3G2kc9j6hX/DAdMvmBB3sL6LxIwR699/4BJ82G9xWe9BAi2zrxrp55NSuTw1O1VGcMyxDvT5MdjYe9Og8k0f70nh91Qc+jwSZ4GTXJN9g6v7bfXZ/e6bYSE0Q0yOamqiAc2Xw4UO6WyBeFc+uR8ePD/hcdj/mb+k/X+di9A89U9uswE1517Bah9qF3jtPhI9zRfB3nQ2oXr9BNYLRyGwFs4YCWLnZP+eZEEIEHNhh764xbcmLe1EY7uHaIondSbQRlUZaS9saJk100cJ5NDAH+sRYzWkxfkCSsN9yte4kJxDA8BLUMZ5o9ARsY9tvhFnf9LmAk/AonTZeERjH7Ry0pwT8102o0IljImiB97rd+mgs6qc0aMet/1MsgNxTOYoolcjxmlLb8pbxUnzAub4DEgUQlLd52u9beyG4s+O75q+ZqK4n81/LTziR1kB5jA3QJ0PbTJXMVI2KNQ9AwhTlItgb/xxwayI9K/lG6y+PtySojkn5/Knsj5NYZxVfdamAaDajyWln/JolorDxI8fIo8o2VsacA3OdY3LczTE4jM0qrVWmBZU4C4wM/TJ6toyHXqEzRfwFRoxLFQA5XkN37465xqGZXMavm4OhPfAO2OBR+ldQTYYardyTw2xsezXL4uH2O0ew6jqGzXDQtS095sx2l0x9xZvmtEGnZrvwEeeJrNhkzNoqctf5Lz0arGzrsgT/3+qUZuAqD7vmgMecjgUUpzeMtZuoDRwsCDUexzsARjP16AA0VO4aoOhYBJEawOGQON71Wsp+SxQ5MmiyzwN9DSY2EFwnrjywMVePNADS9pTtbP8rb+ZD/wVOOHpd97djPbLOPUb32Zg6AZzNZpxvtlU/yWX1aenwRI9masmKIB3Zm37xHGt4A7/PKWMXRwv2iZNTh7b0FLi641izZwBZwqPls9qEBtn3n4DiztvmMZ6bbj8KvEieOI2+N8DLydzc3Eo5AV7BErwlw1gM06UlzYLR7/td8GCfBT7Mg3t2HSLZJl/FGMMtexnLMoeObab78odxC9bYHOpWu5gjzqv/2FjjU4aLXvQfHUKPkSl2iPxYHysg1MAr2uChJ95oRvvKCDulz8MqnL3ec7h1fM6WVk91cyS6URbauLv2ua24Xp/YMftFbB+XyZe9X+qn4N3pljmVkho7Z4kL+74IjME0rQIih//PDxxIwT704Wy3QlNzDD3VClN0pfOc1+osO5JvbDtWCf/osT7vGLKzYwQO0GK/Wz5Tv6jVFk9Byg/FqcWoHCAZvWuovay5IRBKBdVn13GkLEYcm+0oF73p91eObQ0xY9C+VnmUmYD4J6dW5sqk1lBhXkqOE6uM2dqDnSNzy/k1ec2QcoRaKoQJRLyAxgYR7D45Q9Qdegkb0NmyJCBUJqMbo7Q0Y0BjWYGdMzC1+yif4AAok6CouuHG7inr27mUdQMuKb2dCyxwOAgsQQGKZQjQlnPZ665NkYmaTuCUdjH8V2A4sEAho2VMjLjf7eQtsue6u58Si30XoNg17QappGe05RRXYa2fNu8ZbezSicf3eYrD8+UoLRt1KRnb9Tj5wFWj22uMuY2sHOvxSqPdN3zDN7zbgVtZvvlo6RpQUT6krG5lx1rL/hp0aokNnu2LIhwv2lF7RqBGtE4G8GkzCUGA0UlUV8RWprYNTzdTu9bNDOoEAAT0wOZSJch+14ddzxpjMoU3ZQrsTEwHr9+y3q0KaalPy4DMr0Zv+nzLkkT0feeUyNL10QL+87xuWU7raRhAtFofq5OqP2T9ZObq9BUg4iE2pOXHwKQAGjvQIOF9FiMZHW8ssyQgJJs2Wgq0Ag4ykeYNPfFAndc182Ru6bNbRVRHpuBtjuxeyyhZpkA32ljuV37lV97eJw8tNQTM8XHXed8MX8HPdWqNt+usRPMbXMZLbJSKBEtVJm/TIa7zdV/3dW/Xn74ZBhAEbKCUI1Mgffkav7cVQDsWoDKXeJnjJeBXpxafAoGqb/DKbNLs49d8zde808d7X0AYPRuoqaNYEG+8bTfQUae2mIjM402OxWht6YjlNPtvPD9+Xwk5+sukfeELX3gHZvWN49JqOfLTxoZsngXxWmqtf3Ui62TBg+v7MIjnfo/v9cmjCteAeHakNomDspfncwP6eGLfbeKze+9e/hPEsO8F+nKOYTBLtfZZBowDrhx859uhVwAPz5E3v+1+zS6WzresHF/QISpL7MVwl6ztHpNHNlawDi1Gc5vtCXbCopPPXVOZbu1jN5+CU1RqwjdsmIomer0BZDq3Tq330mq0VRkxeqzfKgIlEHbv9XXz6Dn1nEtPUelSBokCpdVs7L6PJm3tU2VZQGKJgM23Ul680KSS/Xum29f/9fnTn/70O6d2/Vv/VYR2gzyJt73/pb/0l97NeatK6WP3bik8XaPvXYqwezSITr7Gt3yy8cf6KAE1+wMbTa/sGFVlfA36X6AAzqBj6uDi6Y/EqQVGbM29lw2L1kwUsDGBUS6y85SAfMu3fMu7EpANZhOxyPIG/vM///PvDNfnPve5twnuusGWpzBejCqngLMFWBVMt+QM4JThZLS6lTjgSTHabho9WjrNEE+pNTuwa48hOelrdYhrcDc+zw5dE/XdSxaPEwU8TIEWyIkcO3+/7RzRlR23vqAFxWndCWW7+Vj58Zh0533P93zP2zWUYFGigKe+7boz6hPkCaV5l4W3lhRw2NwuAglUdKv6KnwCLNK3cydMa93QyGNujFHGiPM8w77jt/vyMh7r0wz6eG9t12+0sYq2DgdBV07HMANLG/9Kg0U8u1P1InIcvtHPc8xEtrsOdH3cHI+W6+f4bk7wZG90ndLsGizzIWM52lrTZY2uTCNFtXPs+ifDvGOVE40HfvInf/IT/+7f/bu3XbCVlI8X9j7+EdGmVBvVK5CThblRZrRuQKqRT8EZj2jBe6PBd3/3d785fubac4B3jZUEbmw/93M/9w5YjAcELTiUAh+uIaLYAFKBmHE0wEWOm733vr6PH/b/aKQkSYne+E+5DvC1eeesCeQwthvv+MAuobLPzVDgxWapNIaM8aInBSkL2nd/wS36fX0fP05H/OiP/ui7EsHNh0DgrjVnZX0ArNGq645byXN3xmwEHRhzDX1jYNfMF54zT+uLR+ysHwMQyk9HQ1mgXfMf/IN/8DYn0y+bs8kC3rEmzz3wmf/ZmqelDXW2yAcd1SyY70DFeGCyNycDwPzWb/3WNz3yC7/wC29Af/Zy41EltHHuHuMR0X/Zqp0/2cafDe4BxMZT+vf76Mbht6SjZfZsP32z30ZTDvf4ZDw12Vs/RuuBoNnRlXIO1HWneTRrSbcABVq+Aj83cGDuAM/u8glos+8cXsEagY2Wz3NwlC5ONrXdd/Zw49w8bD4EB/BfAzfdPPGOp8Ey4PsGLpQM7xoqojhTxrC54HwImppXGZThgH1ef8dfwz4qitg3eEGf2n7kR37k7X5bbyoYVodEhh2O4cDuv252OPslUDu5tRSLfsZf+A8oFixpKSkbS67Ybmu8v+3bvu2dM8TBhrV23+4a3iDQdPfss2yoc2ykJoNlycx+H+6VNVS9iOfwp8RDqyNkR9G0DS02bvsvbA44bU3ujCeW1ZRwILtotPlWwbjfYfSNswEhWJe+2PWaGe6eMi3b11+NDNHVgtUwRTcClEXfcR7VyGnbsev3eLaJI7p499/SDXvH0HUN5qI1XMXhmt6yAVbl23zBh+Z1x3vKB9w4nV08IPi3/8jZ8Jb+TGfPxs5vmm5cf9Z/m9hKWmwcf/iHf/gO48HWrmNscF+x1t7JtLkYLW2yKJDjySuTaUk011g/1m9Patlr/CVws+PhhtFj47S0zrpbVT/V6aXxR7KmVnmNmwO3jXY/RZv32xT9JnjGbOBBJmBCo0yzTsgmZ5/3n6g054VyReyWCgKXjfI0ulbgR7i7yUmdGBMtUjaG5GjNmega1R03RbVjBzQYLmUR3bDDRNXQ1kBpjJVd0yhZzinFRskoMVNmqsadYRbR8VxcmUIGTfkpmsyBmbGZYfNoHueUtpQCh2OAZLSgTAQPCFkNwt7vjsHdebBGEDihPBhq25iLAOmf/qIzYQdwRVILHoydIWnplZdyOtn8KoLxt5Lnn/7pn36XvZSJX9u9d9yU1IBcAf7ANt6Z0+AxVVMwMh4DgDPAoupKRmVIBShGDyXjOxZvAA9kzcPKKXnAffcSGCJjgAIHEwBo2S3nD906Zy050hzTaC0g69xmhPWHQdv4RFXdA7+TkfEFkG18LbtkMPWDDingbOlOjbUyMrJ83xmYzYvnag/oqlhR/szwbzzTkTtPhBeQBq4EChmrOiWlFdmn76qTbwS8TnABNBlm3NenOavjzwJ4Ef+et2N3DN0F/AOizQTeaLdXDbDWeRLxdexkRh/suLh+WVsPOMtcVRftmrvWjh3vM8YCU3i0AQ48hb4369A+61d5u+Npdnfzv8DRgP1P/dRPvatOcX1BEPZlfRhfAarXBuvPrWAqfeuoN7CHN52H7g1YGRu9KPutiomu3nU4ScCMNcPTbRz3yfbGi0drL8srpe2r1jkmC5wyOtpLlcB+xzt0lN/3eTqZUyRg0I19tGZyNuYGO5xvY6Kuhbzzx8bgEc6ogDVM1fJJmWQVcdav7x4qVppFRKNdZ2OiIz33GiAXfL86UpvcbP6svd71Jm+zeeOH0Wn0w3fdMFQig9xxhASuGzyFzZRmuhfZFGQchuTQcyLWNxUNMpqcKw7N+qR6jw1XTWb8HAXrjDm2d5MbtKoNRHfO1ZqArmciF/OiM/zRRi4FOq13bqCkFRXu73quAUvjuc3F9BCHzvr36Vl04bjA1BIlO07Gnm1ppr52CO9KZAhKqkSrva2Ngx933O7bqk3Z+tkq2U6+CnoX//EVJMyq1wWPL83NiXviJfuabAwCfZJOk4Wf+ZmfedPXgtUCTRvHjjGeyUwrKJQiS3a55v/5wRyqJEMv/F4/rTqEL2cMgtJozc/jgMp079UKQI9A6tzMT5r937lLjNDv8NrO3/h2n1bLVc/dqpUPzamlLChfaegCVCC2gASYHUNtcCLImFb0i9KipJVTNfOx+xHUgruuK6M0qmhfGTxGohNuHRgFIQO730z8fmds9/sAqFIDJWAAtayHib/CAFi03xql3HIADOrxJF3riw5AhVI+jgCQIjJ918NQSJQCA7PxFeAoZdEYOiBygLePkVEiOAY2771vH1OiRMH1W3be0mh0ASiqGAiD+5eH/bfjbjl3hVp5VR0ywlWHtspBFkK5iQjdaN1qg8nA+GqO7QyDx3BsPAuc4MmNjbzYHW6/j8YUzBSBTJH+2aTAuhLHKnftBlbWD1PWgF7XJQJBG5tnUdr8QZ9EyCmjbiLnXrfErnJY4OqYOi6AzOZHeb/NH5TP4+dGtMlh12DbpADNGFqBMve94EgjU85vQM1Yro5R3jZnSYa9GRa0vJtCMGxrNvpqhlV/yqfdmMtnQOu2zkkBe0vC6jgDTes/Y0R3FjyR3fGLJQuWdXAcVcfoR+Ww+tEYn/RngxTmibPPttARAzYCOxuD/Q+My/o74AKv2F1YH+uIAkB0B1rUSWyf0bN8dsfpfXxrA4+9Lzs7vkfD9XU2FWic7E73CvLg3xts1v/yaf9nbxoMaVCPnQLSG7Ciw9HF5jr7zfPYbVxnXSdncG387RnKHL7q/PJCAxEdx81wonv5n+Oi7JJDawzkR/+rl/D4+LmAmsNV+4ZewGGfcOCe7uPYOorNphjDtTl1iMyDTc7WOLacSTsaswn+h8focCX3Apkeo9aNgqoz21ToqRBQkTT+ZGvqYDbgoIqHHdl3FYH2TujGPXUK8V3tDJ3KJrBTuz8Qzr5xdq4TCOsJUDagg14qOci8Cimf6eEG8as31lo+blncmupBPA6jXT7fvVXbwVVo1YwlGfXdmFu23IoBFUMyzKpeXEMQvPIvCy2IqALuSZc32Ma2sUlsNz67SwZ8nk7fHMKwgmPrw2yuzWZ3XUtPajeu3cEXxlc91b6jZ3GbjZvMgUf9WN++z8t6L6lhw0dVkzYF3XjsnGxO0RL/CeoIiH3lB7zPRrDd1ZVkgD6hZ/cOF6E9PCh4IDiBt21kJagDj+749XuJTLs+/5t/82/eVVcu+2zeBe6ND3+Tq1vx9KE5tRi9EU0KUQbEzUsoi6VnfDmFIh77f8wm8jfQAew3grrBL1pN4EaopbYH7jfoPv9PVMFEN6NoMmug9+IoM3omdv1c2n/3naFdBnIAYxOzUirlb8a9Pm8MK6ta2ejKCwpeq/yNyyReILGGpn53HeVRBNTGOQ06UIBdAwp83I0r3Ks17lVoO37Z2gmg3R270H735Lwu0zjwvfsr5TaXffSE3RYJFqd4c6HEWP+MG7jAW5SGXZNdr9HDOsKElPAoI6rx6XrBgpIaBSWSjeSLQlJQ+/7t3/7t7wyTjPrOmTEYLUWGPXZo/41fRK3tQGlOVAWMtpzLBizwehX51t8xAlVoMibmH8hbn/efHVBF8fbbZz/72Xc0271lmRkQ7QKvZoIYi50/mdL2/2hLWRew7Z6AuoycbDhndk3Ju0j1+mbThNF6ynXXmUL9sR/7sXelj5ZUNLhVcHszhgJwaLrW8q1mPziH6/foNT24vniUkD7uv+mWyc+P//iPv6O3/u5+k8FVgQA4jAievutVOKl4uSAIoCJLLSmrnqjTwrBNx63/gn2qHwZ4ppeVLm4+ps+nr+n86fHx5Dd+4ze+23DMZhKqDvAQHd6sHEAK1O2/0UjAZmO19mn8ZfM5kW78sBJX2Rp8rpKIDt04pv9X7nVL09GpGXGZ6DXyXBBUA11gdzOlgP5otb6NX/7hP/yH75x1G/ko4x0tu8FSA0KbE3qanaMDXgV9y7+ABblgR/CLoI17C9A0M9xsinV5HsvVNY/7PJ5emfV4RHBx/IZfBaHQs7StrmlD21Y07LqjjScMdMMoNGmQfnyy39Z3Warxx4ImG/+cNTKt1FVprc/WPnMyuu6Q4+bFbl2Hfa0BTPpZNs9xNjXD9+trN+7EyzuOM7L7Aqjj9/GZJVnoXvBN7zwFKqez6ODJlUqZfVbRxpneMdMVNhLj+LED5m19sH6ZQ901guYOr/os+AzXcEwtl6Iz997MKVqyn7s/8I5XihXqoHNKLAGz5GqtpdPFo873X59YADOtqRS7Ti0d7fnjdhfv/gfkfi+PNNrvs0ucJEsLrAWHn3ft6c3x+nAKPWh+ho8FVVTWCa6NDl7FluRMAIzuaQXhrj05pV9hF3Smb8dXqy4cv9vPxI67lk0Zh+uaQ3PRYEPx6V612xqes2HfjpO0oNPWj83jbOPalpLMR9gx3/Vd3/X2Piyy39YXSSHYZ9lcST7ZebqWDlv71Kc+9a4alFyTle6XcXmOvrGnjblYAJ4/VSd518VjO0aSbzzRpNHGVllc/4ZvNv7Rg783XDO90AQFPdWk1EeyppZwMwA2HABolWip0VeissFSfmPYTZKMS1PmI5JNC9Yo2BF553AArQkSWeiulCK7Lcdp+Q/FUmdJZguDilgCoIDhvrumTVF27/XX+Hb99VUpL8ElLDcLBSADyd105kaj64AWZDI2DJ3zKL0dt/5gXjSh8BoBE5XZf563ZW7RGUDQCIY5Uao4IbVw3+6WFEmfcUqJtjTZOFtyjG57B+IZlxp5azqrkNFBJInzOl7d/M1Z0J+dowSZYS24x8fNUIlKiiTvvzklyk4oC1UIlM/dKl1kzHgZsNF2wZTN45SDyCUnSsQRb1sn+4u/+Itvc7hyvwGNjdlOdYAToCtqtvV5dup9KvF0LqW975MTypOMuP7lFY4RJd+sQzNh5nbXsNkFw+TYPoJmc9kdmmccAEhZN/sAyIDbua8OMzlr9qmyR34KgOkWwRqZHAANSDNejtBoM8U+fpuBwu/07ZyW6R3AyX4ENnXxuAmgjFPREi187bNx0B3oo6xMhtv6dlkdkdrdj64T3PAoDKBlfd/vozN527hGn83RmgBQ9x3gKNEHjYRXFzaS28yqYB+epdfRzj1njGVrlMpuHjhQAhLr/44VAHIfdkNAYK2ZK855SwTrePU3fNHKIbobT7jX+mRZiUBKy/bWmklr1UTtjGwQe3edwjoJQN2Vhd2zpW1oXj1EN4nE7316xdrxluzuGuwt/TZgTzYbYHL9ZjNvtruNfuVECgZxCPtq1QP62PxmgQb6RwBkc7zvNgAcSGM3Sje0a7bQOFqp1Qx4scDFMK5HF1ZGBKNbVcfemy/2ZYFAtp/zPR6yZEjAWSJijT5uoKRtsr8+qJSAz8gmIOw3fCyQQU7xc8E4OtSuwC/wjXWq9BsajreWbNhcGQPH5+KzVuJwTrrzO8etc1Mc0nkvjmk1S3Vdgy5+t8GaTY52DcGJW3lT55C+YBPYAtlnFViWIqG5QIiM4fShoMeOH7YVwCEjZA9vjBYChZJfdFQzwPATHvZ7ExqSFM1KOga+Kx4exhF0EijCc2wW3iMPF5vrB8xMJuy/cGlOptmGysdemz94avqD77AggP6tv1urKgmCV1WkCd7Y5wefkGvVIn+SoJ3KBOuyyU5xyPWHWiFSvet4gT28Z1Nf+NfeOd3jQ2BJ0m/3sJGwIAqne2MwtxJlT/r8Qys/NtnXuQV0mxXdy+NgZOpEPgmMTB5jsuvaWQ1gB2w8i1PEUHmr7F4f3r12155cwpSJMZa1LNZOcIAoSeUp649NM7r2Bh123sDmJnBAikK5ig6D1ZhdpxbD1Wj3O6UB6NXwcZpl1DF8nVv3M682rljbBgjWVbZEq6VCxoI5AS+ZlIGSzeeUoXkFPtfMoX4DhY1qukedCI5kDfoFI35zrW4cMQfRWtOBE801Nv+yD+7hVfCABsBigyiNynN28LmxAgwUo4zGjf7uf+t/GTe004d+bgRfRsombLt/H56NTygq8srxvnQ13wy/OSswKfis087h9uim8nOzoe5HXrppjOUK+gEAyK5xCpQDUsocPyVaHHClPV3LdoNPlz/oMvQgX6K+zbw4pptCABV7jQ+tLwPmjc3GLYCv9fC7hkcFcBAYIEau8qoP1X/4mv4TfUXbltOiJ2egcq+ESlm7+9skA33W1sc5xdWHsu6OJbtPDqB2s1UtXcOb+sFBtB/A2mhuYzSVBuhZR4nRLr/pk8ADnXDX062/gFj7Xyes2VoAhCwqvZOBl2lxHyC7oKO6H4/6TPYKDsvXvcb9v3JaOaDP8ex9yXA1+EDO2HHAuxll2URjbFniDU5fu3hbeQk9WnZcm3zlvg7+3j3WZ409YqM4PD1+jf1vRr8B7ScbUxt/ZeCO3TzZJ6NLByoH5rS6S/Cju8nTn8UM+Mb1BM66Z0TbbL19P8jm5tUc4Ad21NMiXL9Yjh2sXu4LdrpVhOag+EBCYrpKQKVPp6gMtNqLPu16xNpf/NXEQufwyWFbc7zvgi7oYg2vdfMC4TLKbXR68SybgPfIpE2VdvytyCkW3ndL3Thfsq8tPW/wgK4sr915wv8XtxXX6lOrM4yxOq+8wZkiZ/rR9cjl2zvv9XNqf/Brq/qujqz9LY6TdZRdVxkggOraNvbaeSq46MbyW4OQ8I3x/LdsXIlfn/Sf8Rm3sZgf1ZL1cdyzm5m5Nz9K1Q5dhHaCsWzqkl31JTjt9IRzWoHykWwUxZkVnVa+ojSZAljHx/xLNU+BEAhGqWt/5q03S7mJ3fW6sUiNPCHhKFgLYZ2ICFYJauLKpC3p5ZQCEHZ1A+aA6mUYZLosXt/1LEI3Abv2nPO9r3StGcVGKvUPLTk7Wo3SjfRiLnTB/H6zm2sdpjVMRXBrWM3tfpvS/0//6T+9GXFgj9AA5oCcfo8ecxA93mN9GPPu2itrHc2Mp6VCAJF+4pNuDqXvdYJdS1ny+gUM1SkydqVPdqFcZMwz+jS0saFGDeRaM6Ou2w0t9FWAQwSzmWnrcYHpa4i91lRDbO2CxzFwPAAS1y6d8EwfFO9eMvf6L4gDVAp6MF7Xed7LJiLdtIwsNXpdXnHt8arNfNbIBEC1d1lTfGnpwj4vs2dTKE6LaO6uLwprPinZ8tDkk9O5vgA4BZZ4kiw2usyoMrIUPTleA8bRzzPcbFzCyRpfbm5EaeskeJj9rrVzFixjXJdRV1pIDkU5b/CMvGjG2AoDO5NzzpV6Mboi27IgDN53fud3flEWAwBmJ9gF2QDZYOvEV3kg2qvqp7q6ska2C6jIKV7G45x/O2fS53tXPq26wJrD7trZrCbeBsSv49cyUmvu1vDdbWxPdWAztOuDqoI6ouZs5woiCSh5ub65q04o0DK26q3KOoBJltDc9c1V7TKbYHw7ny1tJmnzU3swOjX4JUNoGQReq74tQDMXT45t+Wefd63xueM7x08OLn7asbP1lvuwBQXF9IAx45varItBYJ8L5p/GUbm4/YQjWpLrM5slu1la0dE2k/K/jaZUc5FhsgbUsidtgjACsQC4/TWA2QZ6dw3XprfqQD4FktFeoBvtVOzVEXaszKc9LVQHoHHLm/HLZKnPeXfsDX7cAP11xLXKfo8xfgFXlVrNmNs0spU3nQ8YFu7gvO6/JodkH23YQ545ZDt+AUj62zzRUy2F5SijSx0WwXTHNRBdHFedsZcgZ7Fu55St654kdBMHCt9Ul8kGkr3qCPjzyqDk0N0oqrbaf60O2/mCEqPZqn7m+4zGs3u7n+UKZM5+E/SB+zSo2qSUPv5fH/BtaSoQ6j+Ovut1J2RBRnNjjbh+dUnFDThbkjDe3D3GS+MpPL3/5z9ZjukpKgIqbDBdRaYEvD4Sp5bSVNLQSVPmVebgGK6DHEMd5ZHbSQuIR1hKlgEvI1PUdbKVuO18DH4NcyNiNVQVJAZo1zOBBduyyDa6wECyKb4z0pRMhVD2rI6cUtcayLUqE7QlRMBBhWy06C6CBRqNEjbqqgy30Su7JdrKffSwO64G3PWxDXtf+YeHpU94lxH1fLlla5uxx0OUXufNPQoyGIA1tKb0jO86nDte8GFKBOgbqJlTq2S6NKSgRasEbRgiWU787J5kodF2hrf8ax5GP2uUC3IvWNlxUwLrD2NNCdiIw7WVEuHj9WdzueDCDBTHp1kK8ndB1BqD4JxmCRpJbUYGj8o8MSzVJc1guV6Bk5JXjhGAvnMHRPCMTZQmn+MzJb27hucOWvfdipAaWLuAMv4XUN6IZsfBmPa51HXSbezT5xVy6DglnHaKX9CDwi9PzgG2RnR0kDFpv81Tgxx3bh0vSGITH6WtgFGzKkBPHQmGkj6v0dxx/m9wTRXHrmntLd7tpin47xpQegc/NLq736fT6D20qOzpe4EvnkFv1weWGyTDC60q4WiTPcfQ3Xce9MM9jL3BSzJZ/ed+3SDQb4IGrRZpFoPDbuzklD1tP9iQZqf836i83/E/UFJgSDcon9MfawTX2HNOBZmwGSX5bgljM5Lo2yxOWx0kwSJ80AxR56hOyNrOmdx1U7fOQZ3+ZvabLeOcczDMg/teRw3NG2y4evMCfVlvPAOLuK/ATjFZ7VJ1xdPyJ3Ouv+7X5rxuVrU2ewUf0gMCvAXx7oOnXM9Y4DNzW53W69w+bjkOZ0/lCb5zv2ZbyZUd/y2tw4fmrnq1fXoKKLbKpHMqEN4yaxVw5s/Gh/b1aMNTLdVfExgjk+xxN1KyEz8M3T0yymf7z7WMvxk9Y+4jA8kYB8tYZQR7juPpdrbUseSNLusyizqxvQ/9VP1+9Wp1BBkgQ3Rgx6g1YFN+K1/MLqpmgsH2sgQKfRq4ocPYc/xQm0BnVmf89zxmrNlOjrNrPFUZrHWNvD7RIa5dfFGdRl/rG37ddQSt4c5hF09LQWM2tOXpDfR86E5tlScmQ8jriJkAQNTzO030zUDWCDu/KfSCEvcjqHU4bslxP19geo0XBVBB7D0xbqMjmKQKpCUv18Duuo1q17FzTpVfwWO/cxwAEWN1z8uwGlrXcNXBbyR8ERdZaY/C0Ncb+a6zaQMj6+8Ava1jmVMJfKIbJteuQ1pjfSO1Na53PnsN9xMBswaUQ8nRNX9o3vL3GkwR2AIq5+KFggbjKrDuOthryAt4SxO8zlGzpu6CjiolWbE6F4244yM8fUuHriN3HSXni+4VaOp/NysryGjrfQQHWnJcgGwzMcqzdOTgrR+yjWuybHiuOoHj7F7mv7rqOlbmF+iR7aHo9y4KjmYc3NIIncgW2oiI7zjZvj7mxPOYjac6+Oq+K1fl85YXoXdlqMEJYLJZhgYLCyavvm3gsnNi6Qgn7VV/8U7HdO1Rx18gfINJziOrwGQDPOa2oLROQO2U/42Pbbj6v7JT57XXqp7pfe+cNlDg/1733q9BKXYISLkOSwFhdVj7ak6rj2v7nOs35wkWdF6q59caFPSbfhv3DTyVZ+/vl2fotvJQaVDaVcaByPar1Uv0pbmjj7rWk6zJqN1KpNKk8vNkb576X9vTPnZTwCecUVnq7+Vpr5v5Uk10aS67hYYyj+6tykcAD0903Obglfx0fp/sbu3r7r8srcyRKqY6tO57dY9g6M4Zni2Gujjt9n+tuqZ65b4qP4JU5QXrDMlQm+Bn57C6ga4vZrt6h80pf5T+5KBlp/pKv9C9dc7LE5d/O4elZfVMqyk8t53dbXbyOrUNvLevbQ3IwEfOveu277mX51y/PCgYNv6BOdn4uyywNHvCHC0jp0P06b+lxLp6ufPXOW+wxfFoSp9d/kH3G5ygU2AVCTx8JvDPb6tupDuahLv89pE4tRV2k6eMQAcK0tZseKNTNVYaMFxGvsJ9owZK5mQYCSqHtH2tkbuRzk68/k9h+b0Gh9I06UqK9lJm2GhUHTdjk9Vcw8y35KbgrKCH0imTUiLX2WPcG/W7GcNmWBrBsnnKdr6bAC67+pnPfObd+mKC0TU4pZFnKe4ay85OKS+69x//43/8xN/5O3/nixwSALJra3YtUV0C1XE3kNAxa1Uozq3T77laK+NsGWRp7vyWcZV3G0XzvnNEzWpQa8BdWwZM/zk6FAm6jG54Vrmenafr1FYRX/62Pbw1m151bBlstC9oKG+1lb53c7ZrlJQpoyUFVx1wnQu7Wjdws/85QgBkA2Miha7ZNWDdedF8AJfXWD+B4jp4BV9o0Ui4F12FftaiNgJc3UbRW/dNPyhD7VID64PrPFT/9vOT/sOn5v8+OmFN6VHnqJtO1GnUVxm0yq17NMtpzRAd3ufgVp/c4Nzl3+pN7+vD0+6gt6ysDiR+6bqzOpB0Czm9PIA3ASFZ+AZvrvOBh2svzEuDAXSRY+rQXh4ib6515wBIU8GBF2szan9rr+sAtKS19GngGs8U0FvHDJjXPpY377zSeTK+l6Z44gns97cL1K4zeHVcx75GRxunzJG1rO6B3gWheATP32Dmk3P9pZza29/yN/4ik/5r+WBl7tryS4/KSnFZKwA0gdfiBstUikHGD+NDQbPabmNon4phroNYbNp5U0W3e9ssbv2ysU73hDC26hsyYhd+lSDsI912Ayedk+ICzik90sxw5bnB1h2zbBt6XSy7BpfqSx09/6vsY2/oErqYrb667TqEAvPlPaXvsHgD6ezFLd/uHK7VTjRIXjuv7+zWtckNzLHxfRwSeuDRypW5My937fLVVaVJHdteS7BYYsK87rzqNNiuWXwBZTSvjdp3z9A2b192Am71W4pFS/8bwICROrYm9arvqsP3GXZZ63LK3YPua3Jhn7tHSv1IfbnZ8Q+1/LhZLDcsk5YQe7dFs23Na7gL/Gokul6pBG2EYQ2IBEKBZs1vzbz0vyuYCK7E4UaUCjgoOAKiPIRRaFlawZFH3+gnkFpAWloWIHTDG/SgHI2pQMRc3AyaaDOB7pj2eTshzqHd+r45s1tDJCtUBQjcDZwoOdAnG2Upr+Bc/NAP/dDbNb/3e7/3i9YCNAJW56bl351Ti9Eb9LhGpLzA+FiftWZN5wzUdnkuzRnPRi8JL36p41DHsHNW44tfnrZb1yeOmT4wYuu7tS2EXJ/qJFHG5YEdbzOh/cYgLljBCV9rKVdBmf/wUeUB79aJb5CCwRcEsWvvfrMNvXEzsJSZ8rD1BeDpZjl9jq619ZZGVL/U+DEGjIt7ctQ4ttVz9E2DbQXC5bECKvNkvS9HSb+7tq06k+FqhFl5NN5yDN335AQ2Yt2sZWmOPpUxwTpyWzpaY2dezXUDKh6H8wQ0fC4QpPsq71eeC9A0IIxMoIPo9QWQ6OK/60TcAB960SUcSPxyQRt5qH3Ed5WZ8kt/Exi5zf8FsQX7zV7WPhacPX1u2R5wD8DJsNnYp8/EpBM8aqiguWOpA9652PlKJDlX9Av9i/7VaUAgZ1gZXKuzrgxoddZ9b8CwrTxWvVZe4dDj9TqI5fvyrbHQVRfvNEBXe+eYZp86v/3e865cr9nPoAGCYo7iLPQvHRoQeArgtVkLWjtiWZNrWpZhrSgdQZ/Umalj9MrRr+zBHK6xnfYXZF9fPN8cDqKL6eXqZvy5tmtaqrFWPcgOd27KMx2L/9jtBl/pDHaIw7AM84Lve7dr7K12Ktaro98+qaoyHrQj6+hPBtEDn7Z0WjUKWbDruqCVPRbQ0fnV82S/wcJi2/K1aiuVB8ZRObjLFW+AZ/e4y2jKK3SjsVUunvyC9g//6n/9nZZRXzlHF30sXzd4WWxQXtHfP40OoR8FbepLVc5ugqY4pwHHZmb1obJzy5Tr//TavX59gMo1m6GPDf59qE6tgddJvBNQBdrsbB3SggfnXae2hsB9SvACpAoLB7kG5Slya3IIZKP0wOgFPXXqqxxcu05tI31AWye0E8wxUMbUvhYUXOWIdlWkhKKKlkHQRJ8K2gjBFOYcvClPD0xXptN1ZhXKGlL34pzNmbLgfQZk60L32rbmW2PQUpnrGPW6aHHBZSNSjr2AT3/3Tslu7jamjWdGlqF1/ypWPFuj0zKRgq/24RqVG5G15oRioGBE1ff/jBfQNkPM+Wqpa+WgIIqTLbJJJkV6raXuWmH0YriqaJ9kqIajZfVX0eJHhkH/tKsblKhU+TbrMYeYc9idUVtiXAelziq+uMaHDL8yOpVdfH7pUt5zPZtWiXCKhlcGLz1891uzkHXUq4tljOitOjm9j9a57/wUYBuDoEwj+5euWjfFcT69cyOwmihzyxULVkuX0osc9verp+k2fVJVcAOg+lV+u+D5Sd90nfQFOJfmvU/1xJMsX5nu97Zr4zqOHn91Y3e2bkCxYLJgkRzLzrbktkEA1+zcXsfOvZ6cbuC2975yUVp0jtvX20of+rV88XSvvutzg8D33AYXnvp4A1b3fuWf2+enVhkp7a9N3nuzO9YsVyZ7fm1Vr3OdhP52y4/puNsPwXSbmt1AqXtfGXnCUObgOrZ43DWGa2bvlK16vu4r22ae4Y1etw7cKwenNuaOreNj7x3LjnUpTDep9Ki6tRsw631uVUf53L2vo3DH2cTA5fPqwdpcNplz24qSi2vrO8Aa5bP2F7+2quomDyoD5v1i1Sd7ffVRbcOVjRvYL906/x0nPFwdULx1W/V02w3Ss72935+cp1+U7jeoXbvQvvmvNq+6GX52rPFdv6bySG9f3VIsUD+p2OvS+CMpP67D0Um5BrkM2GuIgLSj11EusUso/7eG3jULtp6AfvtgwgB/UQ2KpIxcQNgyKs6CYxvV6DVMFmV+QROntusS21cT39bo5ZPD67rOLcCiJCoA+2+/TWkumrljbAxlUwVRcXPTOaoAYMqdN6eWYZshkAHe+to5JsrTe73LMwXnon4UrjHdCFcFGkAXoTMn1jfeTRGenOkbOTIH/f0qs4KEBl32UhpZUAHwiELaDdc9R6vu8tc5f2WUlbm4D56z0Zkdu5tZFUkV4esGCFe5PNGE7Hf8lUmO8tMcc2oEmBjgRiWV78gezcj7r5s9NeNama1MmRtKtk7tNQrXEJc/Lu3LPx6argQKfbuh215dSlCA077UiaRD3adyLbhQHXab5Rulr+t0zqorGyDpedeRd+/yRjPGldm1bgZzAwpPckkGbP5yQW2BWY0pPa2fT06n/3xuOf2dc/xT/VrbWLv1xCP3t70KqFznlfP6dA/zr29Punrv0yW1oaUDQIpvGgC1qU53I71ObQH9nfPy7dW1vefTMoA1gZXS7UkHtl3ncP2zk+2laWlxea7zxNa13flogMjrZi7u9Z/63XaPu85ScVNB6VrltY5OcUx5uvjiOrHtN/3QJnh+AXIdlafM150Hc1ssdv+/9LkO8Wydyqju+VE902tWfvSvwFyGvkHyOkXG/+TgmHc6HpbZ9641dE36ftdbmaYdZWGzNvQt1miQ+tqX8voTzzzxv2P1t5tSuRc7V9nqta6MwRpXL6CVgG2x+LXPaHyrD4qVr3NeWSlf3/mqXnvi117vjhPuqgx0bBdTVE7Kx8VabDFs1z5/2QfHdvM216s98L1y/Uqe2PAmlYyD7+RYesX43LPByNJ1rf81oHXt0kfi1F6Gf3JAr6KrQq1jcoXmEtIElqEKXKqIMds9Th+fSmn0SeaEgunOznvVwHd3t4KHRi92n1snrw/X6N1NWnatRjwxsPvXKK2hJ2YyTtdcRq4GtCUkVQzbGXdKf69v/MZvfAM8+21OzzJN3dzJ+G8QgaEqKNlOrqOFR5V8y7d8y9s9fvmXf/mtD9speWWwykovQLqA7BrWZtaVpfX/Ok+73hx2pdR2D+6Oe3jLHHaNXMtuGsC4mzb43DUOaw0k4CPjmaEVod15c9SW0d679ZQFRNdYdj0Seo1PlErtGCDWmpo9bmtz6/nLBQvK07rBU4MrBaiNxF2AZe2F/nJejFWjpDuHHnLOgamjvjGQQdevs4MW1+kiAzV8vhtDN0PoeKqMzTN+qU6487PreDZnS6ZlvGr49Keyf99Lc3qwzsct2SpQrQHcWmsbORSkN3DUXUHRtjrUeQ2y1GjXTlz+YXT1ufeoU1kQ0iCJx/UoYa09qRNBR6FdDenTHBcMdax11gqAyGQ3BMNfKgm02sz2o/O51lKy6h1Bxeq0gq0nJ6tRdbbE9ek1jzOSwZyOJhMtPXbMflfGunvIrutn7UL5roHIS4tWvFzwWfqxdRd70Nl1qLVbfr/P9la4x6PpDay0z3jw9vECaq2ZQwDz8sETqH0F6Crf5uO+7nEFjuSiGKqtuq6y3uvf/j9llvafJ2AIQtUJutmj6zi5Pj5tmbo+9LjKEt4db6/6rMte7B1wATuMBVdMDvx3l4Ts/zmZe7rDlgbN1lYun5z5yuldMiG4XCxUW7m+DEft3bIcO0tfmg33bdwSEnU2u0eFfjiPLt1vHMlWD+44QWP9ZSME6rsswznd0PUpYEyP137Sn65hD5Gd22oeuIAsoH/tvPfyj/NrJ24gp3v0sFP6VFm53y9P3wD+Pc446OramivPtW1NrFQevjxBcbpY8k5Ar1iDTuja/+qg2jv8IGnGLyrPOr5zUJm9lTjXDleOro740J3aOyFl9ien9hrup+NupOJLObWUVx20C3xKwCeg6Z7WX3nmZZmLoiG0FJ57lJlqkG/0rZkLTFjjjVE9T6zAZP3yDFX3LBi7WTG0wNw1PAU/lMAYdAp/5Tk7fk6mLNiOtSYaszYaj4Y3E93WUp0ZAGB+pcc7XuZ263ZnGPpM1fJBwUgd25Y+NpIrQgXM7h5T9HOyzfuOnzB6fNMXCcbZdGfX9SgCgE5UFbj2EpVr9JLxICvXOW30fmBrmzrtBQzsHIb1BpQoDrRp0MSGaoAsBTdem1OzOVnWfN/tpFtnsJswmI86XeYHf2ge06BcvWtIKc9Gmes4CPC0LKsBijrT97EsBRENgpQ/atgqx7KgxlX98RQse9KPrlkjVtCnlEwmutesrmslS8f+Ss+Sw+4Cf0FnjZjzrz6rwadXnub60rrluDVI17HuOaXx+KUl5A3ctb+lvyBBnTR9v/etvnoaw9WTtXU1vv0POLgBVefRl5fmF+w2wHv7U6DTtWlXB9ehvFVQ2g0E09d9vItqnQXTXM/aUyC6QTxOrj0BzP+15cUKLelstdOrzEvntN+f5LHOxJXN9mHnWt9/s3/vc6avs/jKIXyi/VNf7hgq6+8Dchc7lVfvtev4VVeUxy9m0s8nJ/OOoddpm12VJfUcbRsVmb8n+vY+V17aj8srdXLowM3x7u85x/BIS3rrFHcJSx/j1QqivXPgdo9hJxVUnn18gzKXT25QynhuFVPnZ/jFWt59n3M+zHQbebQhm837BNjq6LDNdUja31tlUXxbZ7BB/77wmsfVqRyrTa5tdf2WrusPG3Gznk96HV2Ls6+NewpQVj+sD+jnPPrytp5X3m6/Lk/fZuz62gqh2ohigfI9nf6/ZZ+hbi7ZXcebOKrfAAM92aWuv8YrdVB7fzSpTr944NrL0qd0vTb0Q3VqyxRPBuAakicl5P3J6F4GuADOIDF/ifHUnyclXPCMie5z4grqrwAWeNY4X6Gscq7AXGbxO0epCm1tyomzcrPNl06M241Ie10FQsn90R/90ZsCmcKcUia0O65KqJtf3TkzDoqskZ5m5XaNXXPOsk2QOIv66zFQF0SsNQO3VvBLsV46G+uuuc2rADDnz4HqpkXuY0wFsM6pcq0QN2tUhdpARhXHBXfrpxKjzY0NyFz/ZpfKm50b74I2nMxu0DBaDLzOKC+D3c0p0B6YvvJLYV1nQLuZ3mabWircVkdcNLiBodK0v1VvoHePuQb66i/HPzmOPeYClVftFTCmG7zfNfnVB91crnz/Ssc6pgGmG+G8/SJj+PM6tQ26uf6TU3r1WfVu57X/1aDi+2bJb8ZF//vueFH+Bh0dZ24L/u91+9l4nftkqwRq9rq7yJa/XhntO2+XfuSuYM1cAJH6Wv5o5UzpVHqUJ5TAyzDvtbFN9wxAO3b6WUBG5os+A/zpXs7CBXEFcrffdWpvf3ve5YPr8JjfJ9m7crbPXff3SmbvGNqP+377fc+//Ouz7xcb/Fn74zrl3Tq1t091BvrefrZPvr+qanglJ3Nqxwu/9Eu/9BbEZvdsDtMKnifntfS5Du/lKTLT8ze/493Z0/Hm7Hx31OfUFnjXqRXcr6PZJSHVVcbCedef8kf7evEfOl7wXh0yXlXNt897zKKEx+U/mzSVx+lJ+gvmqK0sD1WenjBxdXmDxXUg6fE+J9dvl097nwYG0KuJA87y1eE3oNoxXH38JGOdB1nqjsdv95x7/tXn75Pn/n4D6lrtwNURtVd/+hAAMmdXXu55+K38eW1++3P3keATNVBZXfOk9y5Nqsvbpycb+qE4taIUZV5AosqHcW0GpU5omfFJ2V7l2P+uou5nTNddTm/05jrJokg3utA1eY6/a2EKyrvG94Ju43Zt9Np/wNheK7fscyLXlskcHafAOo5Ofu+51gh8S0iA6P3vcTuLyu/7rj8nZ9ewa6HrdhxPgnPnT5CAw9xySBHNGbxFGa1p/c3f/M23XZfnxH3Xd33XuywoZWhsjRLWuV2/lMzt+F2b07wxeszQ3m3Hb7e/0UVJLvqtj31chfEAQI1ayq63lAONrmHrnPW7MYxWy5zuWuvT+sw5VHYLfHbtzVWorm1TjF3POl2O/zK1O38g9j/8h//w7lqjS4MTTzK6xtDU6GoAv342y2/jMc8zW+uW9ftvsmC9yO7THf8A+AY09KuG+gY7ujETemldp3pLhVr9cJVwnd/qqidl/aUCddV7jdiii/YKgF+Hvzz11JScdj1rndgGmtZk1qsXfL983tb+XgNos5i9nrb7v2ttes01SzsWmPH/3ahqraWDBUBPALr8UQeSjP/BH/zBu0dHFSjdzGyDBL1Hg6NPuvQCNudVF691vaLKJbqpwT39QXcyPRuwKp1VhKx9/dd//Ts9KovJ8Z087jxVJJyE7uS75RLT67dyovYOLUsnc8J5aOs84oc+juLSDQ2eAisFs2SUU99gxFO7zld58B53dfw9vkD7nocnb8D+VX8uFkIDPHH5+drsO6b25RUd6oysmbNL809/+tNvffjhH/7hT3z2s599p/vZVVitTse9j3ljy5phvsezxaqqhiemFwRlxpuzecM5gi9dakL/NwFQWnTt/viGIzusMZyzjPBk8qu/+qvfVRqV/g0Y1s4UN9DXji2OW5u8eZTb3//7f//dplFPTu30u4xtHdHaz+vUoiU7i643sFw+0O/akL1GC86/R1iZQzqhOrKBAjQQ1LYfhTlqa6Xita10XZ1S+rcy1B3Uu4lZ9T48czdEa6vsPdHqyh6+uEE3/O4/NHPNW24N83/5B/peIoJ/Qc6e9G6DSzfw4jhYr/3o3LincvnyYvn+You2zplziy8/Eqe2E9uSz66zWof6yIcbdXylMAv2qhxfAbhb6tCdVrsbWxnrghi/Of4pKtP+3Wc73ms9laB1ITehI6x1djnJQJ2287e2dcppSnnggsPX8fSeMrCEEo1E73atrp1QJjQFiQac4AKla2Q6RwWMHBHrMkQL1+fdY8fu92VHp/xFHznf//bf/tu3/6rA0WZOXZ9NXCHf2pb1ZUZrRoZS9yza/VfnSRnRNaj7bY7w1vo2ilvnbYbiCl9LddwDwKqD6FXHfIZ3YHEg07qavax92PkFixuvDS/sSts5qYMjW2u3Z/0YLTb3c5x3nV/91V99M8yf//zn35WI4cGrlJ+CSWjp2sqzRIjX1ueVuHNEKs/6ahOPKvqCefdo8OGV0mt09/KrzPW+e3yQjZPM8wVwvUZlv59rIJ6itsZVMHgd3At68YB3c0g+b5bQ2Oke+qbX9DgN+kjwxFwVINcJ05/q7AsA71hudBzo8WI3lMIBL9086wYY1pqd9OgrvNJ10UBaS6rv/KHP/d899r6+jm+7bqj/uU5tyXVQ6Lo+T/I6Qk/AsSBYmVevT5e0/zcgM1nfvM85/ff//t9/4qd+6qfewP++/+AP/uCbzpvuXXZLEEjwacf87M/+7Cd+7dd+7Y1Hduz3fd/3vYF4lS77fc6y9YW3TJGuuKAP3doub3WuGuzwe/nxAt+rv1yHA3+rWGCaBgGunN92j3lq1wlt8PDikzY0uNka/+HdBn5uJcwNADzp81f9fR8YvRUhbdOrP/ADP/DGSwtcb15mn127eyP0EVPueRMTtaV79ZEgO292f8H6PV1htsyczvHc0qM9xg/eoIv73Nw+43xYZbzMge2z5JXn77jJx5ZP2XxxeG3j2jjZk6fA1c0so6WNDwVw6Ei6cY75d3/3d78FoX7mZ37mke6O9zi5JmTorG4kisevs0QXdww3sFH7CAco24WzVF5dfYCH911/6vB3TxLBOmXIdbwqe8VZ/rv2yu8N+tJP9hSgz/kX8PQtP67PoJ+VmSsbT7JynfKOqYm1BhfwkGeN87n+2wd9bTLBUzMa5HRNc1EdUh1T2SPrNgh7GhP644fye4+t3bv6+i4R+8ic2uvwXQN8s3kF+AiFkE+O7pcyCFojLy0JaJnkkwF4lVXhFBUAd/1SBa/C0f62dAOtrqEtEOvmU09RQc0aijFunbIp6TqEZb4Ka5maUytb142JCHMzumW0ArRrvAu0y9DoqxUAuj6Ft+OUItvRdv3Zu7XGnkHaLE43ihro2jwAY9YFN5LU8uD3BVrQY8apEW+0xXMUrHHdaHXp43OF2nlzoveagbUr7cY0euhvgdyu1+c0FxBVnigTtBKJptgYz11/YGC0W8aFQWYM9bv81f639Hu/9XFFDJYs8OZcWVj5i3ITkGoU9ynQdRXp5cnr6FXnNLK8c6336TOIe63KwOXrO9fva0+OqvbEIz2nxrnHX9l8coyfMlEcsQYHq/tE9BvYeQIL+kC+rw6442/kWyXJBQDXoFa3VgZv0K0BTnx/5eGVgXxlg65j7ppXHkTKja/z0Gt13l/xUfvac9D2Kat5z2lgxtzO2QR0F0Dbszv3rs9ktQ4Tx2Hn77zpB8+6/oZv+Ia3oOHKIAVBuuELPmrZ9HVEL4+/b06qu1+dg3/uHD4d4xmpzdS8T4bf998TiH3SVU/9/rPgn4trXjkY5PeO597jS/Hgn3WsT2P03/qxjScXCLGvxuw08N2qNHaIPqiegyXZiGJOzvBs53hzjuUCxGzz+Hd4aQFc+0bQHcWNpdFo51F/dwOkZut2bO2aRwR6jKGnC9Ch17F6Cmo2Q1hdotR/Mrzrjo57XZrjgepZeAWO6Ny3T8WS1Tn3+sX41XH0sgB3y7X7upj14vSrq2/C6KlvnT/9bMAFFnrCcv3cYHx1Z3X6pXnx359Xh7yS/fv7U3DnBq+/PJnpG1Tl4/T6zul83kDpk99Er5sbv9116heTvqLB7Q95v7b3I3FqCQznoJ0tEzKCGFjUptGpVwO9vz05AmXCAmgE0Q/AplGCp4gwx4VybLSlZSoFGO1/f9v1rFMSVXFtQAOYrOPZ9QLaonJzrLZb8BT1IpEDISvnWeTRmsuW5JoHETOKtrv8tgRkGc41z/8UgemY0bcK5RpIgKjrzOxKXBpXAXpe3IDRjJHs+sY6ADWlzZHlPLbMRVZvGYj1YcdurN3VFV/s/z5bToCgAopn9ttozekuP1TR2Y0Pf3YzqMuzV1mQpY1z4HJ9G70WTdY/G5h1V7z2+ZZjPxkrtJfdJi+i5Dt2kebNwbJQv/ALv/BWjj5eGFhtmWXlq4aDIXBcqwFGPw+7Hz//yq/8ylsJ56Lp1S140Dpuc3UDPk8g7UYBqyPu8WRQFnz3tEu0ctbqiM4VwIgXLzBvIOHqssrKUxboFRDv+OvY9rcno9/G6LYUed83Tw2wAT+lbQ1l9TEjX0N++9kGsDbI1sDHvedT4KmB05aTd92Qklm6+5aTVx9cfnLPRrMvMJh8tq8NqpZWzi2QcK0Gi/DknVN9Km2b2S3f9bdWMbFD+H1932elx8q2P/WpT73J5mReYBOtS7/pgl3fEg4lx8vWOh6I7nNRiw3K1y337H/4k16rPPf7kyP/JHNPQHLXaan1Ddj6/ATAetxTu/x/AxuV0/dhIn1tQJ3ef7omvuUI3mTCve79XJv11P8nh/zp+DV8+K3f+q1v38cr0/uC09d29fFze8lyrsmSrnXX1eGD4YYFhHftYZlWocEGK4Xeu6Alx5QN0Pc6JpMRGbvqK3tr1LZaNrb3X/zFX3xz3tevVSUJmHouLnmqXqcPyGz75LjZ4o3JZm0/8RM/8UbTNvqm/Mxu0f11FlrN2EwjXXrnuE72/azPKgVdp3qga3LJsj5d7FI6dc8FY3RMr1Nnlb2rXBlrl/2hy01qGVsx+pPMXwe/+uh9rf9fR/V9/kV5r7KBXl+RxyoWj3hE4tPTAgRBGhBea0Uufd1y9M59f9OPV/4Cfiu9/H6DoNVrH7pT+2RIe9Mnr7wdr9A8RVuvYr33rnB6n8IBzHZNE8cwK/FCuBqCRsIKJna97nRHcd3Nfe5EMc7dXMq1BwLmJLmvSe1mOlOirW/XphC/+Zu/+Z1SXf+WVZvSnLM7h0HmyyNqpnjnGFbZdF0i4IfWSlAHUNasgzD+gqq9dqzMbstBCoBkwETt9t+cN8IBgO1/kc5FVNfvZQqNg8PU7dzNDcPYXXub5QPUO8/rg/Lnv/pX/+q73a3fCcUHpb02bdqxA3xz/HYco2PeCHRfVfg1ZJTArjmDvPnavG8syonX9juDuvm1npHCeTI6bVXu5VmPMpIFt3Z1vyl5HvBdKbJ11zb82HEyMuSxz9plfHfs5pEx35jw7Re+8IU3nl3r4wjI7+6182RR6sSQF/S8607r8NXw1dljcNHWtbohWjMBvXfnvEaVTJeHCha6Y/VVzlXmN9hW8Fvd20x7De5aNwK5dLvGwZry0UJJoPtWh/b7Uxn4dbra9+r5W7nTUsMGSszTWq+5d3pgvDH+7Zobx67PSpH3/+T86ur22ffS9gK28pGAWQNsovp9BISS1qd5rdNaetE/PQa97xjdk15oYKNl//plrwSAf7K2R6zt87d927e9BUnpAtlZ9tUSnTkH2+ehO8gqySbDO2+6bfcfrTyubP/t3W7KBdfsZumBZy6/FfiQxYLAW4KNzk+O2vptZ/zS7zqtVwZftdrbp7ku4K7OKEj9s7Qrdw3GdB1dH0FYnHOz/H/Wez69v8pOoeXk4DOf+cyb/VwJ8myqEtuV6qLF9JHgKxyCJpsjOAAu2GvzN17zXFQ4Z7zpSQ7jwdmj2oWdtz4Ma4wfd85s4za0oqd33fUVBqkurf7fPeGf2dOV5e/+K+uf/RSQV1m3/nCwVSVZC1ybp4RYttgj7nbcAsKWi7XR6fpcO9EADTrYlJPdu1UzDQJ6PeF7121w21I5/MF21LFy7+tY3yAmvMo5e8r24jf4lu5qNVt9hmvbb0Z212wyx3yrntRuIqrycp3SykadvacA65P+6XH6Wfz43/MEDL5QaQZzV6eWNyQJzVcdS/0yz527V/oVj7hX9Y45E/S9ySVjLN75yDK17dTtwBPguRNScPPkxfearwAA5XYzxpeRMPmXun6NEVCwl8fZPDHdZdRrWBsp7cQU4Pa+Nc7t4xrlwFAR3DXKnAIguH6/wu+zqMsEwqN7RFAFBBxLIFpK0v/QmYNAWSgt3rEDl1N0T+uB6wBOOD3DkpLsehuCdMELPqsQVfgdu2CAXX93nd3viebNUE6hirSK9uKBOloVvsvb+69rXaaMnOu5eaMvI20dhHl6AmqXN6uE+nJuS7e7PqXzxLlEb2uObuStAQUGWusjEzz4XuVAjVvbjh8f4u0dy5lv2VDH1zGjwZ1vvzcg5j/9x9d1auvolOYFiE99ErRoluo6g7fd4MPVezd41jHd0ig86brXUGvjueqKS9Od0+oUMn55rbQprxVsd0z63fu1DNrupNcIkkPZtQFdYxLBLwhybQC5/Wy/Op47/icb0eMLhOoQv8qOP7UnZ+Cpv09ZjZ7TPtAzXRe2c8j06DqgvyDVZGwOrQwYXWssBZOTz8997nNv5wLxa9bgkiP8v2O690F58EmGGri5NOi4awMa1HpFn1d2Gj/Z0fk6i+8LHD7N4eUdrQ6rObr9fYUzXt3vOsW1R3RQA1Hvqx55GsvT2O77kzPb87zs6zBZJBPVIew2h0cAm07pukGOBnBewL5rwjS7F7y031x311pG19pbz3MdbzeAPPtjTS06CkbvBQ8N16C/R/3ZB0SAljMhAbPrTGbYds4omTWe2isVdGhyeWxtwff9vrE12HaxKNoZ1xMPo+cNTl6+bvDP/QSdL37E/+YXXqzN0ld6T0CsSa3a4VcBoQaRGnSErS5GaqDS59LF9foowrXa2mvjq0ue+uf9yv4NoF1c2WUl7ju+++MP6FM5WuteEnSy+REAbuDbd1WW5TvzWX/C+F8F9UrP9+m0e+4TlvvQN4q6yvYCum6wgEC3tOw6bxyyDu4OtPcU/aNs7k5ylxne59R2EsvEXRh+IxE3MnmdxToABdCa/vmvk17gqPmNAqQ4KUcZ0UbBgBD9olQaWRE5nFPXaLp1pF2M38i49zo36KTchAKy0+GO81w1hqcgvlkb/er8myfZYWOvcroguIGOgoA5s4sQ7/v6AdiVZ0SOKQ/ZCruemt8K6+W/y8dKALvj5o5t+TTDd9c9t+wQT1Qm+vvl6wZPWobMqdWHKhMbXwzwARTABboNNMjYAK73+ZU7frs5z4Dv/41TpFMZl/4DIsC3HXGfAhjNqtRhK1C69K/CLyi+O+N2975mQfXzgrHS3vGcCbqpAYBrJL+Uwq7Ru85XndrKCx3bAF2BRbP2gFb5+Ul2do+u676gurZAvxuMAEwKtlxXqZ/nSJKvllnufWDSc1SXZRGAE4Bak8UsQCkfXBBXnrrjde5T6V4dWvNwAy30ce//yob22leu8VLB3pWHls4J+Kr8wdfovmvNkaXTrP0DZCwfWBsve9zceGZrJHttOpUM2r1U39kSvHMDvh2Hvl4QV3l1DfIk+/y+aH7ltLZapQyn9mZQq1cuhniSW/NHnty36xjLk8UMrzBKx6BV97lOs10yVd0gpnxz+95rX73Z99KmAPaJFleHCFjvs/LfLlVa43SoMruBIfpLYNYTDdbYNDrd+ll85xE/u/ac2b1WKqxKadUqy7IOD3iupycoCNBziFf2y2Z17HCYZTTr3828drM5fEXncYztZ9GyV+XY5fVL9/V/95q9xYfsgYBtM/YbO3vXAGaPqZ6qbnrSh+YJvnNMv+uTLDW9c3kbv+61sW9Mta3XsX9yCtlAv3fTrer7yn11/5U/2KatWefrzPn8pOfud3xynd3qnva3dpStvf6Lp5iMfreaQfB4TVC59gxepWvtoEzHd34uDtIP3+t8F4O84qXOQ6/1oTu1BtooWkGajvjPGkFMjYmeoipV8m2XUQnoGLzCYvCADADVqM6NLKxxlGTHlFAx2HZydF19dN8CJmO0pghdOCdTcAWhjabe6LxmbAWHDBbj2P7sfcyqPK9OXtdZ7JoeyTBHopkq0XfrsawVubvwDQgQmjLdBIjiannq2jd90ze94yHlp/tfOYh+dnfMlhd3kxb3R0+P9GkZHN7x+45xj0Uz1zjxpZM57LofZSszaLumNaejV4MG5krJX50pfEGhcHiqiJQJmqOuQel4CrpvJLXgyr2dy+BXRuYoiBhv/taHfbcDNZBcx23GfcYZDzY7OV6vIRut0PECGXOwsmePH2K4KN31Z8aE/KDHBbLGxDB6+LjNx9xzv3teMdoJyqBTwdganWCeW3GgHw0CyQoIiCjFLm87517jAtxGufGyXYOry4yv+hAfKOHSZE0293WIyC5A0IwJHXjv0Q2ZOE3o6roXPNBjfZ7kfleuCJTSgevX1s2tvzL/qhvwRPcAoPtH/+qDloy3tX/+971LGCxvaBVJeQ698ejG03Yzgu795Oi8agW35gE96Q90F4izIzEesw5WFm3/28dggShy2Udwsbmurfpi99xSDvxI76NRQSxZa2DwtlaF0Fmu3SAr2uHtPt7j0uuCzn3fOZPRjdk80vsFihewVSZv0x/6EBh0vp1Jb9XD+4CbY/AWueHE0TsqFjiMrSIip31ahfenObh2/fanfVp7CirAOOV1APkuE1pfOYmcXzxkbPRoKwKU58IinRtzqFR5S8C2adXP/dzPvdmvObgeS4X/VYl5XjM9C2OshHpBcTpnx6zUeVnSfd/5HOLJhAq16otWCEzvrS92/p8dXF/qiFTXGnNlX5venKzv/2K/Bn6rw+ET+Mba4N3b710WAPMXd1e2WpZaOaizRO4cuzGbf8e6hvm7+7sUIzYIzXF1vZYGt9qPvb3JrOs0NrCqLLf3W5s92h4kO56/g6cbiOs9bkBTa0KkTl5pvJdAi3m1g/tXfuVXvqtEtMno1dl7bZ5rVzveOrXKt5XxmxtVec7v+vc1fHsDI9VzTS7coJo+maeP1KkFchj6RrB1uiCxkboqQgqh0cPr2Fap1qFrCVUZg5FdE8G1VuGWqFBQIv5TdpjdsxtFsspg7csrQbhZD+OqEa9j6+WaN5JBSLpou9FfWUbMQJBaTiAjQwlOkXf3XPPXUg/Ks+BMplTGpA73jgOqvCZgnAcCYtwFwZ1XQROOQ58pZ/xo2oicNQSuV56s0KLP3in1Nry4sVpb1rJd9BkNxkP73Y7FfeZxlbj5qyI2fzXqt5y0Qi9oYkxP/NIxeG8Wp2Ctkf3Ns2hxsyFoaG0WkARo1lFg/Bn2zk+N3O3/2mhn0zMOdCsCWg55dc91KBvlu1FHeqD/18jo142W3ojwjVLWsdM/fW8wALjvZgven8ahNeBT49TxdvOLguh+Lq9z+Nc4J4JX6NDM7N2k4xpodOkmWgXs1XWcEI/dss5u/bGmff25Tu2OU37MCR7trFNTIVBbVRnQr4IHdK4TW9pfJ7TB3QK2jvMpa/vEX1dWe98nvqhjUDmgr1WBdBMtDu2AdW3VqjHcp+vULLGwht7SAmC3QUYydR8zh+81gPCC4PJqK36eshX6Wrm5drbju/qw8+D6ltt0x9PqmdqX8js5v3Lq2ne5yNN49YuuM74bzNB3PEdmyHod7yc64P2Ou0Go0vqO5QYBiuEurnsFPNvHBn0rC/fleezOhwXgATT1n/Ma/Ghwme7womN2zpzOBXiW5WSDqk/pQX2Ft+ik6a3hnN1XoN7mnGRA5rXzUwfXLsbWupNHeK46yrxas9+mym1Z5z520BwWyxar1jlEU/ijyZwGljpfAildKgYL7liBxc4PvG5vkeJGc6bfTVTVbve/ysCTDXTNOtDlwfLwk19yAyZa1+deWlcGtFfBytrUK3PGW9tJz9RR/4qv+Ip3T9KwPIfs6CPfp4GhbtioEtF9igNq0yufHdutRKmfVvqWXuUnY4SX3qdbPjSntgMD3qr4L3AwIK0EueDINa4hcV6zXX3pyxhMhAlQdgyji8E5ZsvY7b3RQP25WdSO4zq0Fbgy0J2QHtv+Fyh3sq+T0WNF2dEHAAQOgS7rQ1xHmTDHtk6m/tXQd1Mo4Gm0BnY793tRUjMg1lF6XE0zRlUelOEt26yxLV2vY9fdT/vfVXIFRc2ytAERLcMm2ObIlv871uMCdq06ezda1XFVadZRKV9V2AsGbn+vwuhv5bcuBUB7BlKkrzs46yOliK/waEvcm8msI1gjdoGRNpkTPawDbi4u2CxQK6irk9nj8LOxXUfkOl116J9A633VqNbpu4618TRLb5zVFff+peGt9nCfpzKo6iDGvDTvWrHuMOr8BodabePaFwTU0biBgtJ515k+EBhaYJFTu2PmgMnE4lGBJK9lbQUxxzsDpTbLoAvpcmO/kf1LK327uqCvgqKrPzq+98npNdZ9f3Iy7nvlomuoZOiU5Cozk2ntGJpBvDpKkI5T6xjBuFbO2FjqbqSIBgJeaNNACX1Xmb120H/NSHrdDHnn62kOXU+TmWrG/Tq1r5y9JyCstbLK8Q2stF/4koyVhgXu5lXgonqhtvvSwn3RS99rW65z/sSf73s90Vy/6MDy11odMjaGbW7Qt/3Fc+Sv2FEwpk4tGdmxMqP7LDu7QNh4nFMLQzSIuoY+Sqjtks95m+6yCVr5SR9bfn6d791HOfJakxRPDhB6d6NPTfBJVeAT37ZSpbpSX8honYwuoaEHGhChf7w46+aPDhH8uvxdB79LJ4y1duvyXgPT+vtkbxoQbgVJ57d8Wxt+ebqN3Xzi//a3516dcr8/+TY+s9WWknWN8Fd91Ve9qzxRwl+Ze5JpTXAYNobT97mbqZLpq6cuXrpBgKvfe/8buP1f5tQipjIRnQH+Rf5rvApeO7hm65rxMDCM2cksuH0CjQRhUTMGfdea0poiojA5XXukwSbe8zkpExknimPjI8QF9HXw66SuEaBmkwpCbunazgMkKjTdxKclsspoKf8KrpIqoJFDu/+Vkskq2o1PH7uec3SQjV3jBG/8IpGMFeECUDtfInT7btfd0X6lOYyLUgfRR4YNnxE0DngdhSfA0zK09Qk/MX5P2U2t84kf8YPzBU22RvhmKHoOY2ATloIkSrUKd5+VU6JDr6VPzmFU727I7rHjKL06t/i3oGkBCE6MjLN7mkfBEP1SqtUyt2YsGSTHdMzN5IyWk9Eqs4FxDk2jrPp7y3qMuxURDA79QDmLBpMd/WuwiI6R9XoCf71nfyeHZIEjAJQKJuFzMmg+qmcKhJsdBIKqQzqv+IQ84wXNfZepGJ0m69OVNSSVI3KG9xuUu/KkDwBTI/97p6dXITMaraRv77vmwOWanbALXtb/nTOdvZ20p9/ozm//9m9/yz5OJtes3978oFuDNmucrWt40Z3e7kZWBW8X0NBNQAb+uHLZSoQn/eO9a2LNN93Rz9fJBq5XFrmsjacA1DbTIfgNiBzNV8Yo+208eEwgxlrmglF2XPkiO7L/6U+6xGdyVZDZTefMfQO8l9duwKtl9uVHehz/r9RTaej6b7+KVpSYt6e5epqz6yi6tzkil66PhzfmPqKv/CgIL6vHOemjofDndcbW8Avd6PMNHnQ8N1BzweWl+80a9v63QgSNzUmrBPSrQbHeXxBWYB0/KyG+etvSE8dOR4yvx6Neypp3LjqXX9xjvKJyAVai4/G54Oz0qrGzV8bVDT/ZAPq0Gc/OZx2BXU8ips2meOOj2XM2rfxR2epcljf1sc5QG/5FHzKnDHbXmp5W3TGaol1Lz1tyzM7Vlt3gVRMD+l2/oTRCJ9ffva7DXH6/ckvGytuCKm18hEunys+Vryd5ewpAVLZakTN+huHHf3bx/vSnP/1ufKN/N8BTbdh1tPAzOWD/9d8yz/H0rqWypXYdjYznYqGOt/jVb3vBJRzru2zuVcDgQ3Nq7c5WY1vAQlC7LqbAj6D1mDokN7JRIheg+t51RDJOlIzH6LSP0u8DRh4G3oyOSJSIWx3p90U8alSeMrb9XGfc+O0+/KRslCzuPhy/Auw6R5zYRf9krnedOQme62rtpAj7mvHtkSseD8SxMA/ddMEGQubXvYFo4IpATalNaKxhxgfAESXf8sf2C79cet9I1gXjzWjdNVeNUl66uzdhrDPnGC/HVS4KIHrdGss6tBdsNGLlnr4zBqKhHLErd3V+8bF5UhZeh9Orpak34lvHuFHxZqUrr+1Dg16NvprfPnakmdquk6F/aoDJUKOF/uu6OXNo6cGu55EP7iVLTFdUbs3rLd+r/miZ4O7BoSA3dCDQUBmi8wQJ6FeAv1nagoA63Wjrv6svtfHAHJ6Br2U9bQpG1zQoINCiDP3y9ZWp8oAxoZ01+mt40RjWz60vszHIwGf5CC+sfx5z1vU3qlE2Js9HfgqYkge8ZOnCBemXd/fb6ISurTgpHxSEl1bkqEGJ6p8Gz65+uo5z9Y81hQJYHNKt8+uaffPPYXbNZjF2v24Ah5fcp3xGN4/WHHD03PnsF9DSyo9WCJU2+NzSD+dxps21dgPk5qCt8sHueIQah76B5mYinsCm3y8wfgKn7q9fZBptPA5p/VjGsEskqis95m3BoPG952uvCcKZx7XNyVNwrA5Sq1zuGPu6AL3jrHy23aw0OlibfSuCimcuT/hcuWRH+2SIPoKw10ErutjTBpQFt2LG3hwc2Wa0+yhBPDMcKZAjGAxbTQ/tXgKC+l09ce1/sbAS5NIR30zXXQfLfijkt0E656K59+Is/ep+DXRm5c5cNKlDbuDx8asN5Mazs7GSKHBYA2bFIWsbmyCTpEAd7fJyx4c/KnM36EdGmmRA9+KIZgvN4Q2swSwts23fYIVe+8mhvUEk44F59J+99HmPWPulX/qlt0TR7/7u777pEHpy+IPuHU8I6u/8zY1y/P03+dicCT7s+uOxVvg0I3xlvfJ2bZb/mkSoDm3gpT5L7dVH9kifMoyO13noAAjBUwSkTNSJ/VIDQLQ7sRw4Gcxm+hhPTLbzNlkm1EYpOxZzyo5WYV9leRX9daCuU1Xge0EJJd+Nt9oquIBWN3yowgciGomhdEUZAZbWyu8eMm+j5ejScpFG8gD2Xr99qNO14wk8EO+4Cr4+cYQ7zgKpy0ulo7HcYIj/RAivgn7Fc09Kr/e+4ObJQa6DxaihY7+7bgW8j+S40ToOLSCJfqVdwS7FIzg1Gei9LojpvJYWlfk6CxcYXd6/AZ7SHH9Q3NdQla84lfpKZm7/9JEDT0HvXFHlXXO/cYau4Wqk0H9dX4V/m0Hl0DJ2MgDKfLsL4eXb8pfgRulVGl5dcnmzQOPS25jWZsS2+ZmApXEBjdXLDSyVv+9171xogi8eeeFa9B9enG5pn41Z4MaO7ei++QPi1wQI6fG+bkCsBrh80+BBg08CLA3M0GHVRRdYl+bGU+D4ylErDa9N8fkC49HGGuMChIK0BpWaFQI+nkBadZb+G3vtUX9TJcJxK29dB773uUCQPLyyr+59AwmlX3V5edB8X3xTfHLn8rYnO9J+XplBE4+N2W/KxBvs0jc6bHZ5AbrRVhkiR4uOh38aIC1fVsc9VZ88Oa9P43yyv+X160TVfutn8WHt4Ss6dq67R0SxCocUf7CLdARHqTv3X34kA+7drOqtUFrr3hoq6DjS5Uu6uTbkBsJe0QANa0Pa9LFPOHilq6+DdQPCV86KeXq9zn+D8ePN4WuZxf02eoxGLS1v0L0bUu6YZZ4FQHd8kzvXeSzPXaxxE02XDhc/XHo8+SxaH/nUYxsYu8sReo/S9spNg9JdWqL5f1hmCby/8EG2dTSTkafT8KzEEZrrv0C7ZBXcSCbwKdmorL5Pf7S9T9eYB/aidHiFzz+UR/rUiAJ5XadWkN+NYxix63Dcib4MU4HrZj3KSWQMPeh6u9LNmC9CttIijsSMAObfd5nMRZAW3djETtgG8ERxa2xlSroW4hK7Y6nAoh0GwiwVMAqaItZqnDAwhnOfCjRgSjE0a95SGxEw1wW6R7ev+7qve5e5oIAoKtnw0XoZFZkc5TsUOoYU6UcDW4TbkAYf7f5KBbsz3t7R3Foaig0NqoSN44lvOe3GUNBSmj8pt0ZEG0V3/Tvv5W/3R2t08bmAcN8pFXRoBta1KBdrCGVnzAHHavztGZItmcQnLbMt7Qrqyu/X4amMdryu8SqCf39zjTphFDD5s77DvbtBTTdmUdqJ3gI0XZaw8c8IyEAuY7nzbFBibDf41BIetHPPgs/pFvOoMgLAZyjwskBLgVQNIpqVR51vZ906xOZBYKkBucvX6+uM4Bq52HFkrdk9uvRpTl85tQ3+0W3K+BZRnh7fPKjUcKxyy53fNerT7QM64/u9o6eghOj+Jz/5ybdjRJTLy9UT3fSlDlMztC1fQ6M6p2TRY4Wc674td1YZUEdz9+t6VLp2/3vmd2ULyGnwUvCQszbabl7NmXMaBFkjXzaqqdPBnnSDwP1Xfd51kEqR3Y/eZju9XyBXvkUDWKLOzw3swhhdXnHxRVt18o6RraPbGxgw1jrWV76ewP0rB6L0Llje/Ub76YsB083dZGO0ZFuNVQB+Aai91jwejfOED9l4AeEbbIGnSvMnul0n6zoTDZZcnWB85LLAuMtXLs67QFaf3Y+TwDnFG12rWX0jWOCxdY5xTueketjSqFsVRJfSD56trmIBRu0+EWTXXHa9qcogfNflM321j+OVp/lqVZ/xdt59L8Z5Ct7cVt6+wddmzsdzgsh7txPv2n6bzvbIpM4V3WoTQLhwyyeUVNMndCLeI1drDUr18xMPGcv7AlU34FZ/R1NyLQtaJ7q641XA4knGyEn3sEGXXbdlwCunn76fbvg/P8B048k9ss0OyNMxHOsGgWHG4XnPXrY+XEBCQKfVL12243X1YXW+MdVXbBN4widNfL3S5x9qphbwKdA2MEKlDKQR1uu9V0g6mf1+mU/JyI5bHbmNiOaYbmKm7OfYTsnPqf36r//6d2WH+scxnMDtnK3n2r0mPPsdsKXQAAaKSp9kuqqcCFlLKSgrwJwBRlOTThneCb9zoJySYSpD2U1OacqNZFrP4F3mGt3XN49fsQaQkHqkjagyx8mGLsDOvo+GEyxj8ru5FOmxwynDAvBOGJv5qiEjTJ4Jh541GrcCoHyIPlVOFcga+RvEYTCU7haAlU+vEeHItnWTpZa1exyTzS1a1tOIMIC53/fdnI8uwLcNeCjFgScAtcB+65uVYj1FEy/woQtuxLOG5okG5eOCIOC4/dp5BXaANz5xXce39FpDN9HIybvAgeecji4b9/TFeL8ZDjQmu3VompnSf0BboGflnzbbMT76Af+3dKe6tFm1GpfqzzoKAlGXZ137GtTNN6DRtfIdV41r+bt9fopC1znq/Uu7Bc/WhxlkATJre63B3LVlrwbSPO7Chhb00wx4y7wEJQVC+uzty9ftVx3aOn8tX+Pw7X+PLyvIuvzfVl3bfgjEoH0d2/JylxHUoTOW8dnouSCNR3PV5l2HXZ+szyvINmaPwmJvCjRu0ELQuIDZUgZ9th5bGXlBdstlbyswrYNfu9vKoXtu31W2sIUen9K1w81aX4eg/SleuU5tHXcOVIOH+zyeJkOcnbteW7Bs70rq8eNkR1De84a70ZJXg6LN0neu9PuOgZ59cmgFVbtHQs+/tpVsNaBexxu9Ss86J5VdY71OjXmCB56WjdXu1jnfb54E4NF7+l0ebGsApHijTjP66FvHa3zFjOapQXmJBRjs8rnlZbM7O2dyPTvXuXCt23c2pPSt83oDI8VWXV9Pj21JS6+tAk9gjywIEAv+Wr85fG4H39Fxey0oX+51zfuTHJZHG5y91Ub6Qrf3OnjoyokGV83msP1tzq++uNfyWx3yVjzWeZ+cW3u/8z//+c+/lXZ/y7d8y5sfNF0mMz5dwWeQ2OPDDZfM9s927nxVqirKdk6fZXuxGbvTqh4011p1Z+4bCFb1QH8Y+8Uu7ws8/E85tQWzXYuB4P4vwCzgIcwFZU8OyBOoNijOmbWeQL0IzhwphLYrHYC5xmitL6INnOSWr1BIV+kV8JQJ/G8iKkhlzm540zHrc0FC6d7ProHWzSphFk5f1ydwartJzQ02ANWeZbp7cIJst27dLMfJ9uCNlO/8PtewoJYiu1nSgvNuCNXoV/mp5X41Jk/85LdmXl4BqF6jfN25uVmBGvkqxxpQ7xfgXKe2GXVrmwUybHYjC1VQh1+taRZ0sGmYZ5c5vk59n5t7AXcz03Xe61T57c7ZBT+lSfnc9dCvpbeVNzLK+Ta3HLoa4bXSp1nVGfoZTMBq350nCkq28blMiXEUAADI9AbjO5DpP7wNNFPinFW0v0CidG4woMETYy3NC0Bq8LVu5tOgpLmi42WtgKqC0dL6Xv9Jd7VPo9P0NcdH9cB+mwF2D+vD6HfZkDV80OCZ8bqfQGv5He/Ujt0gTHVi+ajHuG/1/XW+Kk/4Wan1E33qMNZB7LjoZMdPtq1VHpBx/doaurNlZ8bWjZV2TU4t3kejZtmqK59AWsG9sbbMsmMz1ku7J34yBzeQWUfhgqDSrjJGZ5rDOkX6V354ZV9qG57koTSqzd7/gKfy7MtzXuy9rCzH15xVDrqsSNP3S/8GAovPypP9XD10Awxt5uIG4nqve9/ahPfxAZreDH713qX/nbPLF9UJAs50TcvoG5gyr7VpTw4vu+CY+3/14vtspntzAm8T/BtPzeaPpzz67Enf9Lf3OQ+XZqUvJ7ZO7ejCQcVnXb/ckm943uPCJMV2j1YAqi68mK168/5uXJfexYQd9xO/N9BSjK/JfArusJ1N6rUv9/Pl8wZY+AzGh86CAvh3OmG0/6//9b9+UbKp9+maYn4cXCRQXLoJ7sA5t6+1VRcDPvFNcTpevrpbf17p8Y/EqV2roDVq2WgD4FYjUMfgEkOrkvN+I31j8EWitkAaAUzKItSbBJGJCTSnluHoPRgI0SNZAZsqESJ9MHbRj/vMNGOrMeJI3VKpRoAZWOeWHmWgOpmAIeamBGXrJgDKDygSZUndUOECU9cW6efIWvuz18B9nzHZOn2KqTuktkzN/w0i1FDoq/l6pWy6BrmR75Zr1wHYcRtDBbuOcXmsYLc823m5vG3eeq6xc9I57A0qNAu6Jss9es7Zsu5qNJ/S2nWUjSzSJsMF0HRtogxtN0Z6E/xE8zcXfTZelbB5uwCkILS0KABzTmXhVRarhr2lvc1OKV0vAKqTYS6Ma7+1xB1QsTnLaLvriVri/X0mV9UlqwJZqax57o7W5mMGZ1HP6ZFdZ686rC2dErkuIDWG6wjUMRHxbzajzopjnwxwm2ymoCBaqIBoVJas4AUVC096vLx8728u2AgAZvRidPE9B6oPdlcurLXsvDzRwIrsB74q/5SfLogp/buJUPkOaFmzzq3ZtfKlOSGrrlMAdPXQdfw23lZw4IllRVQF2CymEW+87P6uQT4ugKaTu1MoOpdP9am2BHiv01QZ1e86Be5XnXId/Oqd61jhBbx/gW95stfqUgK6psEmPNz5fgLP1z55f7ovfkGP6Xr6prbfWMk1B6CbvQjcC9oIhlY2Xau8XmBrvmr3Oq6O5wLvBgCurPsfX199xUahQ+WwwPbJTpRvLnC+n+8ckA3juE4xOnPW0LW8S27R9NKhTpL7wpINJBYvNyjZhEhlQb9VE95AwvTo/mP7JV6u4/FqjkvnJ7pex2aNjoalOF3D4n0yg7L47lJNBj0ScdearbX21nkLDk+vtdrt8sqTA1RZx+Pmr8Gt8uwTf5b3WuWw5okeV05bDk8H6/edg/KOzzeo2ITeaKI/3Zn/j//4j9/6Qsd37Sy/wbInzu9e/ILOOboroTcOcn5l7Uk3XszeeVCdRPepWhs/2Kn8qQrsQ3Vq7ySUqdfWoRrOPp6mpQyczDJUJ//+dplg/2/N1O4xRl/K3cRjJk7AQCjCyF4yvIzJrm03QcK4yZxgAVF1YCj/Gg99Z1SbyUQPvxUYAYseZ7LfrA9zzRpVAER/bhZNJEdkEeCQfWIUa2DQWCNMe9n5TKZMts924UoQWqasFFbmgOHsRlWywPqNblqZXfSG0NaINNLOmVmfCwYAr33+7d/+7bc+X9pd/n5lpIGegulGv2tsb9ZfOTtjeYMlaGEd89672Vk3C9hYfuZnfuZdydlKDjnKSurMi7ITzrI+4AkOWWW0DkHXXj0plydDJ9BA8faYpxLBOp7N0pKJ/S/LvDHZoU85JAfIecaojJUcGItI5647PfE7v/M7bzw7+ixIIyq89+6evC3zAYeODf8JEFiPRTHTOS0b8txEtCp/VB7qnDgWj97gSwMKnasnw1C9A3jgb+f30W3WoQtguW+DIPjPXN8SWlUEDQLVwSAno71MVEvNn0AomrhPaVJn8Zb+XsDfCiR6Fgi4+tF9qpNvAGKfZRlK89oJ/TAu49D36gXjNUcFSdZILaAi8NF1vcpXBWX22ue9duxsXsvMBE/xZ3fenL7phnQtAW21R18cp9Kn4LH8ih7Kkxv8dUx1sf4KwgJ+V0f1887b2GW4d//RkL0iE+bXfJfXr2xdHVj+I19P53iWcnXjkz0UEG3QYL+ZD9VVdKg+aA1UVXZqh8lS56HjBZ7bz2aAbqOj6vRrteNohCZ1HPSN/YF/vJ5wBN1e3FZa1nYXC9EFPcex1UMdX89Hn/t/X1cWyNUNLPnv8vz6t+DVgljdNAhNSy/jaOlog3oN8qkU6P9s8PuympV9gaXxxDd90ze98SYnS8WNbLIxsrPsnyTT1oraa0GSpLqlNrA69FUwpK3Y67aL/8orLQXW9ttKpRcohwEEr9HvBl+vrmuWtw6texW7w/eu4ykvw7Z/9Ed/9A6rw+h8obX6B96Hd2BOfRKc3xzAWe1z+fTa8gZp8TmevAF5/LslGOwoe6I9BRI+VKe20Ysr4PXGG+m5EawbPSnTlNFeGQEEmiEWJfJYHtcAPLuGao3gcGorEIQHYKYYW1bYvl1DpZ+Nrvl+s4adbA4GBfYE2krHfRZBdExBUA2XNcCAcsEXBaEMG/i4UTk0niLtzq4i+By09puiFlU2LtnvZuLujrc1vnZDrnNagIf/ZD6eeKmRpQnwWiPSt9VY1lnF+3aIvdE/5zb7CggV8N17X5DUNY3jceCYU6a0hHNrzVuj9SKn+NS53VjJ8QJMjToD1/t81x5XKRtveaa/VfavY9XPZKTrwMrXeymXvP3z3ow4+gu2NDO++yhxBSaskcbfAjCixevrPg9I2MjlVlo02HWjsl4NOuweIqpkv1nmGu7Skt6oPnHvGuMnw32d5fKFwEl1T+fqzmfl796r4NQxnPNm2q7crHEy8GkzF865tqO0bmuE2f0L2uj1guY7ho7taZylz3W+RO21LjFp8Kj0vqCx+qUlY5W7gQ+7XgrwrjUYtM/bbwLPbX25ZwMLNu44WeCuuwW07ErNqe0eGt2USxBJH9saTKxDUprj755fXUwOCvprC6qzLo+h/8ay/TQ2XmtRF+Qpb7cf1WtP/b36rXL5hHm8bhDo3pNcA/WlX7EAeXnCUX05p3LoPw5j+a983qwimWyQou3qjFsV8aXu/YQxn+RDazCv/WYbKsP4o9nW6twbWDAP5bPyLlm+/O465T3X0t9m2S62Lk/RVzvnPq5JsyZblcXdRO/KQfnjyenS2vfOdWkqMIjWwy5r00mWqEl0CPji8+7DUxsgcdQkQOXw8h3nqrapfFbefBqr+ej/HbdHUbaNxnMaR2c+BzvzxO93zmrbWjXTSp8uHxQ4sCRwFWSr1PGor7VirjXXQGfJjF1vfS+tOZr21ilvoAPZqJ584tO1nluZIoPVIea1wVxj/cjKj6+w3YjIFYaCHhP6FAWrAi8zlhFrbPYauFQyvCiJyAYwJStSECY6sd+tyzUJgF0j65za61C9Ee84gPpc5fRUO17QjmkBikbySr/LqF0jRmCN1ec63mgiosqJ3ItT2yxLGVT/Fk2Z4FqE/uRgG5uMWpWJKKMMLIZVtue3OrfKP92LsqvT2bkw/ide3X924hPMqGLX8OIr0LVxFKhWgOvIFpib12YTr1w5v44dxYKX959suefprT9TaBwx2QZRUeuCWvrcUmU8UoVVwF3g0f7i3fKnZn5qpK+BqK7Am90EovpifTVeIKU6oc53MwbdzMCakR27bKqyefdWjqkcxy7Ssq7TNzPUA770SOe940eXOkUFufTM3mWcjKfnlAeN9ZapoZGSfa+WiepL+6g6pQZzvz3Ntb5dB7tVME/3sh7IdRjqV3xEZ9WYC96Yz8t3F5BWbxmHoNhdziBL1ixpx1Dd8ASo+vvTuVefd14d1wwxW9RxFBwBPe3vXn/tr/21d+u3x8eCiTZckQVYVZNlJLOZdsVcpcfa+H/HN9CprZ+W8zSzb7kO2WVLW3Wg/1dfNDBzHZLysv9cC/8Bj6XVq/WG6E//jjZzajemZSUm33u/IPSVk9sMXef83uspa1qeqv6tvqzu2705tQJz5S+0bkD1qbkP3dBxVS4uGEff64DV+Xtyaq9jWppdWl7Ht9foNRvMcX7n//JJHU/v18GsDrn2rvO51kx5bWX1tlYb+GqOLl077ov/OOQw7HX4J9v0hAojGyHeneCfxti57m9PNqG/sbH9PBvLAWebySbHrPa8e1S4Pj6lEy+NO7/m3ft1vF6NtfxFBp8wyj5PX3psqGa5DNzAOa3sV65uH5psot8rV2S8VRo7zlMdtgxzm8V5NOlXnDW8zm+lJDy0dxVYdIynDnQfD/xbvu64nnBK50xfeoxstnE7rhhDv56qQD7UR/q4CeEYUeqs6FzLGRDiRl9N/I2YXWeZo+RlV8s1i9ExY6PMmAx4YGxLbH0gLNch1S+leFeZGludrCqqMipBBaYpMg73jeyLmhRI7v7KMhqZ2u+jy4yziItSNNEYjqU5RPeCTdndOonr84ATsLxrDhCYByDCGNFy150TUKcX/dTQo3nX3bovR6TPICaYBe3N4Llvn+m1fikTaVnSk/EvwHLdPvqh8+9YfF5FJPNfR7ZR+/J4gWr7ZFfega29b8dYj0EZKLXemUO263HIRjtrzfW15do1TFUcN4rbxwoZ/wULa/gIjz6VwjqmShufbxx3/YZz/EZmWipZB1FZZo1Is677fWMfL68fAL4ATHmUUvVM1L2Ad7pA3woOC1zqxNRYkpl939zNKA1ci2RbuvEECssf1Xt4rDxYY3RB5x6DZm3TaLL7Tj4AvVsyRZ8D2Whmycntg2oNc3mjrd21t/3DH8ZdueujMEqHC7LqHPjeao86hQXl15EtH/XaT05wdWjPvwGs8ZCyao7/dHbtUsfYa+FVwJaOW1n8zhcAFAz88R//8XdO0L7/9E//9Lt56KZze0qAwM7GNH4cnw+YKgPe/zICdNPsysazLLEgwc7bozjsIGsTqvV3FRIDgGRrDU+9AnzORdfqmAIfum/39aibp1YnZOPc61d+5Vfe7RpbXd3gzdO8Pzlf5OeWsd5mvI671UaAvmD9rWJ5ck4u6G//Ckord+8D+9fZLf67WcXrYLkuwCqYV514de3Vwe1H6VJ8dft9P5tzNrxOEucPPWYPaiu1VrC0L7XnnXvjgPsca67JvuD/LWst1ut4usylVTDar/3ar73pkh2/DB5nRwJIa4VK79lggfv2c50NfHiX07nG+qmslcyhc9ewW5LXoL/7wqu+NxjjWngL5rCPTG3wrm0p0uWNa2evnLg3vLBql7b9vuVLcwbtx4G3bpDmiT/r3Hc9f/vf/UB2n41lenQlx7/8y7/8RQm9v/BBVZ+nG9DL3Sj2bl65Y+y/YoMxAQgY1j497ddtdcwbrDL3ncvqU/eVjEEXsvmRZWovsLpeeRWl48vkVVw9/kbdEecqLIq0oMd/NwJHgdRxLOCsMrjgCEAriKlyIgC3jLTOeyPJjWp2XUZ/59RWYa4BGTIUvVcVKfror9+AoG5OZT3hGkWPWVvSQnEY9/4DXgjsBEy5Zo347iGCb20oh9i90YYAMxzXkHKqB7Bk6y5vcWYaFS+QttFVN4jAj1fhrBVgXuftAuqWodZwPTnM1wj5rUq1Sq59m7AvUzh6jhZTajaJ8gggfNQy465TvU5zx1feIgf9r+CutL9gogDnyni/9zwbGVT2ynddw7d3gTT9IlvNyKIZY+lau7ZnnHY3b32zocd4Dv8qjWpgrfNex8f4AIfqSzTgRDoWr24sfb53aXrlXx+rF5+AdWlUnTqndvLsGrK05Ykb/KLTyMj6wAA2wNTnIhtDo61XZgsO63jSDeb2ldHXj+qDglNzeumIj0TBr15tcK/lrg18PQE6tsfzGjWPXqmd63ok+qDOSuUP3c3F3gX57B693wZ2BmgHbMfDu+/Kjff79qOYE+w+C5b97b/9t9+ClAPA1uXufUG0gTjAwk7q6/f4d4BqTu5+W392L8GO3cdz3wXBd86CNwU45KQ6C+hFz86N+Wtw3T12/TrS1bHVbW3mUJDw1f91hv3u2k9O1JOz+GQT7nm9X6tPygvGcvHT1Z+vsv73fr1mdVr73vko/14bcOm2Y4tJnmj6ZH/utTqO0tw9ShOfyz/oCMCrylGxY/OcPh2izhWe2vU5Cd7RVRCi/WogoDpZhU4f63Z5rGMn76XBbb/4i7/4bvfzjUtVnT1SYK7KUwMMtem1FXVCrsPdyqHaIHPAITI3dKN7C8iv2atCK8+yJealNrD8Wj1/l/7VX3nFX7W7fQkM3nXM+296c1gYTq/99fkpUMOeXPnaS0JO8ySMzen6MH01Z9qSkF3///GB/iv/u6b9cUZvtnTtYgiBhun6YQRBdk/csAb6KRBZ7CgI0TE8ye2+e0xVl1/ARJI2H6lTe41+B3SN8DUCZb6rgLQChX6vE1igd/vTklsRrbUK0r1f3ylbzWTXse2Y79jbv0aU1xq5KB0oxG7wsTbGKqNXmKuMSudeXwasGxztmurp125UucLd323A0c1TJlATaI6TCKSyVwvbKaJurlXHtFk+StecMR5K6y5PoXP5Cb8wJAxYo5tPhli7gY/OE0Dttzp65a0ng3959vbjOut+M0+yhEp4OA6bF05tN2sBGjkGV9G1XUN6AzGlyTWqHWuvXV69snJl7GYk6pSIPuoT8FFQRpG2vL2Kt47Q6GV3RryBf2VJObgNxFD6T5nr6oAbzazs4q9mZmYwbKhBvhq1vnxUejaI1j70/Kc5X9ZNNctT0K6f6cQ6zw1OlG8Zoz7zUz/pdE4IWpRu5d06P3iEDHeddB3q9gONAJ9WS6hiMY+X1pe+1yZVTl45tWRSs571lfyTT/J+A8jVyRw6y2UA7/0253XO6IDQzpvOn/M5/TndMWcVvea8fu5zn3s7d3QaKF4lyJ5d/Q3f8A1flEXY2l33Hc/uPpxBfLS+Tp5aobNzuqa/DlfnsJ/Z6+rM2jo0aUUBp8LGKG2X5rXXwF4B6wW1lzeuvrz3+PO2J4e1Tqn2pGuufrjtff9XLzu28vNK/zz9/nTfp/tfGXPPOhtP173gv3rwJkcuv7Ave+cgbM49r9zur10jTpc5Vh8nI3ahHZ/XZl3s8KR/2RFOZuf01birn59wxNpkXrmxoO2O66Zq1fWXfq/0J93XsRUT6EsdYde2lhPOhEHpM/dd/+zI/zT2BmYv7m0SoBjw+hLFmxentd9X3vGBpXK3fzZk6lKZYufayXvNjkGD18yXJzYMI3hszz6Pj+vsf0XuWbnetRZMVZKOB51X/FxbOzswHrejtqo3ftatznW/2snqRjx1bS0cC683sSPx8JFvFAUUdGA6jbCN5hSYNDp3U9h1RkQ9/OZ/36/x95/IWT8/ZWevUi5Iq8LoDr8VmoLqApBmDHq/ApQC8DGKXQvtLKwt0r6HKusHJ6+RRNd3D5Fy5WR9LA/F7gHuLXVuhqWKr8pi91SmxSmQPdUPERq7MdYBEn3iYBPaOt7WeYnec8KVs60v5QdAu8rMeJW1TOlMGQzsVFm/alUM12lpdBD/lVbm+cnZfuLbGoY6x67jtzpwzZrvNTq3KqCZgiovfMTZ8CJv1zBzHq4jUfpVZivzjqnzV+Xd8i5ZIGWZzTArtwI6jLM7ngMIsjwts9mxm3/jUq4MhDNWeE4lA9r3+YT659rGVRm/JWl1evShwRH9XUm0INFo0TU0WnVVeYQhuJkb81Oe02Tzumvspz71qS/im+oHPLP/Ha//eBNYo2u6hpXxb3S4FQTmvaVRnBbz5POu1Sz4mozHXtMh5gRf7zzjQVv6p7KLRyurpT/5dC+8dwML1r7ry9q+rz/LYuqf4AbbWRlqxlq/m3234djo6hF2sx8/+7M/++bE7tjZEDy88t/d+/Of//zb/YAWPKjCZrplx20H063ZUsa2e6202OOqdv6yQyt73Hpd9+Fcr09zjgGvjddyoepXfFrd22qu4oryWeUMXZY9/pEf+ZEvmjd0rB4tSN/1PKbugvkC0aegx7XzxRZ/Vie3dKgOrrN0HaMnWW970gM3sOhz2xPIvn29gcr3jav6/96jfelzyB3zRP9Lh2462Sa7veM2t/QqmVS9te/FQug+XodJ4An3tBRl75MTG2DeJRt0QjHzrr/r2fDxycHsHDY5VIfzyfnlrK81WCfgtbGur67RdbBoxuYZTzOr+vNkw29gHx1r4+h4AcWNX3XHxiMIVhqWl+oLNKjh/PLnWoORNyDbewkiN3hdxww+GX2fSmF3D3sUeCxoS6U7f81G2nSUfeOAsoec0PHeKml2Dxu1uo7lP+b6y6M/BT2nc7/ma77m3dpflTBsHFveueZoypRu7JZf2Sl+nz1Crnr4+m2Vyd3bE0r8Vp8DX+B7lXQf6SN9DKBC+ATI1whzCX4NRjc8IlCUSRm5kY6naIlWEFnn2cYvjTSV2fpbFX4BYaPlNzNSw3SjRgUmdcSk9vcCxgY0NWsnOaEtpbz0wCR2JgZalAiv/Aw42Geb3hQ4YTBA3397dSMQwBMQInjKIwglZ6FZ3AJ/zXoFzifa71jPNVv/7PrXNaw3e7/+ex6tJiLLYW4ZzzUm5q38cbMIfeGJ8krnp3xintCR09YoZJ2iG/wpIPN9x8vU3khsAz4F5KNfjUNBZuV7x1fB1HFi0PTbva9BulHopygzud+8mVvlv2i7kmEBELxqDMBEnR/3FNRpYKUbZTUoJxveINXO5bgUsN7s5o2SMoacp673dT7nTbBHgIsT4JjSs44p3rC+Hm2N/wYVS3PywSB7rrTyZ8YSbbq8AZ3Lvxr90yyt8QouVCfcEvnyaJ0RGRT0a9aWnni1PrGBkI1TObtgmPlr0LF2gQ3qMhDH4Rt0d/zu5bFymrJo1ysAvM5c/6vNK4+h/xzX6bc5sr/0S7/05ohOlvb/dN+c2c9+9rNvgZPJkT0W1rfRTfmcErq9r7RtsrBrqg7ZS2XDypY55/t9mf/N/Zxb/R0Q2me7gj7ptyfQTmaqX4y9+r5ysNf6sLFcwF9dffUb/QGUdo4vOK5jWPt++0FP9vf3tdvfOoM+o8PV5bWlN7vv2o5F56fsSnmt/5XWdRJ6XANn95q9tmN77dpSfHPl4ikDWOe69ki57fiA7vfIlTq0nj9ep+viSnLax5nR1S0FheMmZ7Ut7H0DKBIP9Nd1QrocofMgyFiZuf29OKS8A1+2j+WXtVY2NZDdTYMa0MBX5LobM95nypojmT7YEMaATSt7l4fX3Ku8WKe2CTTvT5nD0pYdNhd1Ojf3cHmDEBqHcLpOtceuhX7mrbjz0o9tbkDHZn7T6+OzYXa4lo2GZfTpf/8Au3BUF4D05BIBUOfsmhJG1cn1LyRv+BPwteoFSyZbqdmqumtDa/PxdIPKfRKEubwbXn5kux8//e5zlX+VXZXQq2sDH17Xqb0RgE7CU396TKP8fu8xdWL6+xonFGMCeTUq1zC9j46lEWUn2m6H3rUx9Zi5aw0qeAxOAwoFX42orZ9q5RdZHwAABD3rrkr4GhfMqpSBctpxFnrvff13nIzT7tFHdRCC1vADVgNaBbuNGlm7W9Cuv+buZg33LgMmO975vq1OV3nCb+hRXnjinYKJq2ArGwW5jSS+4p0npaw/VSAFYH67wZ4GmO496hBQ0C3NdV/X6rXrvF19Qa6e+qYEkqPXZypPgXZTp9JTCSYHHC1FOq2n3qu7QQNNzWa7d9eXa80Qc3LRoU5VjRdFDcCYm12r1QfmS98amDAvDRL6rfOBzy5fdj4ufzYogX7lo9LAOeju2Dr3T+uYOicNDlbvd6dkjicjzG4oubemiJ67/NYsnj6VFzmgHf/Nij/RqSCktkRrpL9r5i7vX33iPq/k5B7b69C/dLD19Xh1oAjgHi13zPT/+GzO7+j8hS984RO//uu//g7w2/hkcrPPO3fXmC0SZLVub/fxBIJWGRij5zeWX2r3ygd1oO7vN9BYO24+1hc79V869t3nYhN89bTz873vE0Z44ht9rwzf+a6T2ut1fO3rkx64fXiyE+3Pkw4pHZ8w3v38Ppq037c1yHmx4RNdG4zQ6iBX560Jjs6RtVvtMMV41fPGZUntWKvy5jrt+jg7AmC3RFLgxfmexyo4WXo6j8PTxMeX0gOX3nXmLs2fmnHgbwHCywvmoMHFOoVr7NgNKlTvNjDVJTs2QkQHG95xaKzXL2a/fSsfdb4qH9Ul3i+flu8bGCp92UQ7DV+5W9t8bwyqIlUpwcBoeP2fBmfWGvjYZ4mY8bENLbs8sYHnjutP4uCO1uPDJbAEAwRVds2rF3euwDH6Vx46B4LoMq/mshUP7Vcrb17xt/nsHDWo+ZHsfgyYXGa6qXuRggsGCvi0AlRCRxAM7JZLdkc9GYZG9ly3DKvc0H9P47tR4EZ4q5Tujnh1NJ8U7gX7nShgfop3oMHukmuLeg+ArHTA9V279G/ZKQUBHALoY/AJye6x3R6t79rre77ne97WVomeKdEc4xtDI3Y2I9q9ZWiV1LSEFP05tQRFeWgBnqz0nO2BqAnjIkyUpBKFRmXRwo6gNSLovH4tyrbrdvfFBiLKDy2zLP9x8vFwy0Ov4r8A+ipcn8tPrU7otRp5v47gBS691lN/6uy3fLMBjGsEAHNK0X1UGjQ6fPn8Rkjpimu4naeU3Y7Lgjn7r7sXV8lv7u3ia57WXzwjgrrvfU5yndoaN5tDcaz0D02tSSktuiO3YA8+bZQTr+ibcpzy0M5dH+jRVhVcfnA8h8/vBdF71fi13XPnEG3dZHVigYt+6PvNQpCfBpoAG/LbAIhr0x/0P0M5PTAd0HLx6bC9phfJhAwGPSMAY9z6VDtyg1uy/ftN8KZ8Xfr3e3kHCGgg42aZ9K/RcXN1ZbbvtZv6yU7KShkfmzjenz1Zdtaz0Oe8TheOx60nHL2nf83BbIQ52PlbbrLjt2aPEzud+vM///Nv/dgcjS6bx117Ti/7u3v8v9n7t559u7Su9yxQ02lnMm3TECGyXoNUISCRKLiI0fgOfAnuGXfc0fgKfBEafQm64YbEhIgQYoEsCgqKYg2KJrjRMZndTrHzu/N8/v2tw/P6P+XkeezMTEZy5b7u8zoXYxzjWPyOxRjn//rBu53RhX24zmrp4HcBtQLwq+/YgPHIstEDcf/kn/yTR15/9b97eC1K71/A5djNurRdDFJ88KSTi6vopFZooMnl47XuSFqQem1I7eLlsycevAmI67heEPqkW574mL7gGJau17lA56dM7ZogHAeJfh4vj8+tQyQfsm77H760vwjHFI+ag/VDYGp92fcuheGI7fzZocnC9NZkppk3Nrb4rI57efnSsrSuXm0CpHPZIF+xjpJrY9W/i8kbZChm2EcFX+XAM7qRnmU/yp75BF6NRz/Tp16Ng5bs8BNeqEygWTFc8XXtUnW4exZL1l5xaNf38cv0YPG9toTQ+mpjLvxlyZTggaqgZoWLWcm0SoNh/+nb0WSt/fJ2iz3Xkgl9/5IP5n+8uL6NhvsroL/+rLKnyTm08ArD4gbyQEaNxbKv9X39kISArW6wnv0uxqyeoMOamIA9b/DmI3Vqq5hEMlp2dx1Ax0Rqek5Bng8CtrSwDi/hsSYTUQpQyyhN+2OklmjWqfFc4EB/NM/RJ69P2IdCvY6He9/Igw/BH4gYSBsTK79dW5T805/+9NvaJq/qqWOvnK1OQ4GiXcrWv0WvKdWtO9rOZhOcz372s+9KOpVCTzHPkd4rIGYgdq/v/M7vfJdNXT+VZsjMFiCbu74Lc30QxZ/A7V4yDHaf3XkzCANhU3wD2HWQ64hVGXDOOZsCI/v985///Ft/12+1/FfZV2m6X9dMFgz0Wsb5RtycU4NNITY7iMfwAoG+MuW+je5x3G4fq9zb5/tbg0CMkT54buVlHzvkctjI1nUKqqj6l+w+Gakae7RZf5V21eFcsxHO+E8mSSm88TJIO28y1pJvTpDXgIg0AkiNKutfN3ZoRFIJT3VN6dxIMqOz/s5Q4umW1pfnO8c1FJ5dWl5HrY5ZdWpbdfP6M6eAgTIXa82+AQ1kpTyIh83n5oM84h/rem5GE69Vl+98G7IAGcoKC4CB1B3z/nJBkQJCpYf0Nn3SV9M1a1PZMne1Xw3kNDDajWDK562oKJAtv5TO1U+cd5kA5ZQ7tqDkdPZshbV1o/3WTtM306nT7dunYeP0bsMds/589/rKr/zKd8+c3TAfKzf2TvjZjTmwG+8cXKBxdmpztXffDkxNNtGm+s048T/M4HvLF+v01BFCU3a7axtvuw5ZQVWdhOmJrS3v/Z+uaYC+8naf0eAzHUK/dfOZltLvvn1NnmoT8tFlQRwy+qu2o33t+K+T2OO1Mx1/5WHtjv3q9MvPN6jEHvpeR8l1tZu1Y/SONYZkrJs/4VNrdWWgBFwE7FUwCOLQL6pvGjSjkwQdd+/xjLELIsE3KuDw+54r0Nkxtgz3KTiADoK+01UbX5eqva+Vx+323Eq4zue9Zo2T3yRW+ehp6WD1eQOau9ZbHPaxZrMbApXOd8fdW9qtnxfPVW6bdGji68qrgKQEzfo1jDwMbNfg69TaXG/3xy+ceNhg4yKfa+Rg44K9d+/xrWqCLSPB32yxMcEsw8n6arPLL/1Af3AGd64lMNYF91WG+02/bDqqemHHu/lVq6ma/Jrtqb31Ksm7tOtV8AyugREkUV69G/gjdWprUGqsX5USXcX49L2A8TqbV2DqRADWVfDNGDveYxXMZhQYCoZF3xhqQIvhdW6V/zW0dWBvMMDxTdYm0AYf3XRpTeR7ZWKiVwVGomaN4PZ7F4DbjAoDAe7AAIUg2jjFM0DD0RigEXkyPsqqr/TpJi+igqKhjIVdKu3gtmMzAHvuduIkJDZAukqrQMH3RgsZPfSz0Lz8eIMPWjMDNdzlx647bDS2ALr8f+9RngFoGq2vU1Mg0PvVAFbZkkW0qIxex7bO+lNGqiCy5/vN32YkXtHBb82oljaUmN/HO15b1PfDckQoXhnbGjw0rvyjRzNoHNj9b+OD9YHzZQ320/yRgzXnN7BzwWIzMXvmwFQBKnklLyoByvP4wVw8Obk3UNPg3zXIF1zaKK4bb9W50v/ObQ0UWTTeVm/Ytr9BH+d5LlmoU7t70lUAU3V3A5LGaGfSvr7MvNjJccdreOto9v7mrfLXYEFls7rJWuxL88pRZaWBst7HebekHAATvBw/qVgYb6K9OWyQBp9Mb6t0IOs7d8fN73Sw80eLPatr4Bp9Nx+yA/trIyq6ta30bL86F9fG3iBD+RBP3Y1Fru4sEO59dt1s0s0OFyC/6n/PKUaqEwu0NWjHhvofLexcu2PdHIY8FPPQFd0vgN6r832DjfTD0/HbbqDl6bfbGojoeU/27N7v1XFYEe9b14rWfZez4KFxrlkf620IfSUPkA5b0g8dy86ZMwEH7Fhfl8NJEcAVbLUnCTm5wXDHX9Fgz/D6LE7tsNOreei9+7tkhNeL4aNeW7mm713vOzlrsGZ9Yz/wbzG+++27ndhVW9V5WhO0a4C5GfXqhgYHLi+++v9mx40DfTaW0dteLPp0ZYTDtXta7gTfCoZ0T4/Ss3t/7KPUWXUBHjW2ynN1neDml55383oNj7fAWOJIfnxgbFifM9xgGxu5/wUfyAgZklCCzZqEQufKQGW6AaubGf4faf+HnFqdaPSvE9UBtHTuydm9yr+LhP3t71UEAGxBbJU3BVRGBEQpJBGlMsMF93Wa9IEjWcXRialhqxEo6Nt3a5L2mVPbHfbWRFJ+9Vd/9b/bOh5DY9iWMbXUwvxQrFOyojFejq2MVGnZANI+dq7cb3M2gUU0WF8mKFPyGLggfYp39/Py7wmrVwOVgWWG96qJ7/u+73untDZGO85dIShPMhKNiI82UwwW+H9Y9FrDgxyOAhbPb7lznVr8c53H8rPnO6flsnjEvRuEucBJRpUsNEJvfOXRG1kvj5eOXbPRYNAFkBycOtNV0AVAt18UqKYfQAYgB0RvLgeS3a8l7QwRfeB9bPSPDeLGtwDldcgEKPSRDNkZk4x3Q6POdTO4OwYYlV8FWlp+X3lxH3zXteiNNNdI302aLkDRR2DhRuPLl3VqfV7N+w3OVb9dkOPD8Na59dwC/a5H6sYozSJp+glAuY5+sx4XHWVpCmoY346zWdbqngZtavNKS2OXWSvNG1S7TpM+AQ/0ozHfaL1A72i3AOTko2W/Ss2UUgv6tEx6z9v1dLo53f91UvHixqOUbb+txLKyi/67vuWNV76rD2rPr+Nenr58qFU/stE3sn+DEdVR1UHWzrXksvzm/zqBvU/xkbmRMXfPvmsdjrjjQo/q5GZJBI6rUwUzAErzX1tdWpa+r/RH+fUVprk66bbKSZ2jzktp+2H3Qwt6ZDpFAAlm2DMFeOhrNNh142Hz41Usgniwks3RCtBrY8zz6MwBMc91QOEf/TDOJmPq+HU+yOh+272GA/csZdS38ubKTQNmWtcSs0f6Zn7oAvQrnmFPZMrLn8q6HSvP6Ycs6/p/Nzh8FeQWbMDT1S90+w0kX3qU52EDtH0KxK5/K9PdPKoCLBbQ5vRKPOwar8CB3dbYp15bX6a6i1PrHcOw0niOjLMR3rOsgrLN/ZxvM1cOdu10A2zkAJ+bQ8+UcJDgo9NhLcHn/d79MBrYWGvZMye2WAnOexX4+kic2r7upcyB4TFxy7cKenX27cFZgFwnrBF/90T4Aoi7yUvrsAHcEZizRbGL/G9S5uwo63lakF7DR4jbxz6zxrvMW0BUoO+6lQBbk1Hg9G6CPqDTT/3UT72NhbKuINQxutm+LhaXudjc7F6yt5xia09X8rz+TBFbZL57rRRYqcWun7BP8Ob4tswbLQDOlbKJ7gO3G+ueu+zvN3zDN7z77Bk2+aBgBB2q6Pxe8FmAKEO70hE7rnIOnLdjN3NgzsYTaGNeOYjdrRg/13gyCAxvQUV52v8ig3Vc0LJr+65j6DyR+VvqIcJpB1LR/+6SfMvB9E8wSBlcn2ndL4dD/5rRbbtA5SnoUtkT9d54ZCgobkGZRvv2sdPrjAmD4tnrf0v3jdHzlMO7lhMNNHHAdp2NnepkrFnDSG+15L4Ot6g93aQ/V6+al0ZlK+u3+gR9W+ZWfVOwohVIuMeOTT45Q0/P4HzX+Rxd9NsOkM1e2Nhpr38ZCAACn6oO8NTo5fUvZL0BjZb7chjM+WS3a97XvwXpvuM7vuMLAgZ4qMCXjSifVt/Wwb46H3izaZPAgCYoyKYZDwBZ8NcyxYIzfUYzGyONx5t5VYJdu1WngoxZN8Vet4QfILlgTl85uHaApXOsLQd6usRCdojdvI4NWtKR1T0X/K41qFmA9koPVS7K1zs+ezabsfmzHECA9c7Dzdj4fc/vpo8rZ54tck2DYmxQg3UNBjaRoO/O6fOuo03/q/jgDHB273IJ9yrd9KHHq09uUOvOS/v4FMQo/c1j6fp0v4LwNRUv48N9VCjYRK6yaax1IGV4fToXrT5r8FEf6Z1hFk5yd8pn1421AL20v9VQtcc7Dm+Mj4YXvV3izlflsvN25ZgztOMcJRiljuQNONGxcB1/AEayHr0Yhsy3CrLl4pV1Y6nz2V1+d52+FM/u+2wpZ1LAB9ZwT7xaXixPt5x8OmBYePR2bgNDbZ/5zGfedO+W7cCsuw/MsWPe3mE8aINedOQaHG6DP3jHGlr62bKqOd4qPtfQ17V4QPBnv8Pf64tqHnNTfpgcVZfIpldWdq/1xTw1QKkCFD+Zw+mhLhPzXnH2DG4of3wsTm0dzSphSrWK+iljoNMIcUFus2wmuo4aw1XHw0SKivuI3owxKHNrVESYlgElmBWkZmP2t6VDFAxQXCN6FTelVGFFK3QDfpptrjKnSNfXCZoMD1rIanlOwRVm9J6qzsfu6zVBylmUbMmsTFhEBHd/67TQ10J4ioRjVQC6MmIZ290H6JkSmrMLRM4xnvMsMrTGkNySkhpShmPPqOM7IbGu5kbAb8TsGs9mvWVQAdE6GBS8YI77N4hjnUMdoLXyFCXomWSn2Uj0JUuUEOVjcy5z3ixTM92NShcwoQn69WXpew4Z2jn66K+xXse4AYQGchrpbSvY6Tw3UCGSWVr2fqOj14c0Er7P+EtARdnTjnMwGQEys2co7TGeASj35ciRZ/QejUu/lk0JtikJwts3Ytp3tZY+BcX4qIDWOaVP/39yIPp953Lkm0FqlrSOHbrfDINnyVgLQgJkgm4dT+W7YKobbZXnCzo7VnPTYCan9lu+5Vu+YPMRc1KACbBWLirXBZMFlc4FVvS7gQTO9PSSXVLb79Khz1/Dr2hfJxTfAg+tkGrAljMrQ2XdGz2HLgISLQWvHK+hVddx0lMqqFzbtbQF2+3b5cvKfvVBMzulh3PxW9vTPPXe+mnDxtkPgYHK0pPzdvvevgkarDUATpevNTB7573BU/PaQEAdpiv3a33nu6CdUvNm0tuuU/RqnNdxejoH7X2/DjQ7ZoylW+15dXyXF3VTuTmWrt113gndrDuZIet1dthzNNC3OvJ4soEtNGJL7PnA3gL7rVB4RcvKvsaeyoLqw/va1fcNCnFsYTvBm+4XA9MU51cP0s3jpdnONWWnZFHGbtd79Qsac3JVm3mOgC367SM50/fvWr8JkwgMs5n1R27w9skG4q/RZHt1LLEzHV3H/toBTUB9OEvwCB/tnpaHlI/oQTJvjh2zBpccwJL4zc7edpuH4f/4H//j7/Dbgi32x+BM7rfZ4N0DrwpG7piyZ3zCP6oz7EPvt//sSDEUejvHPPhuzJWvBkThkY/FqS0QR1xOXgW8Sl2nb1Sk0dIbbaeIZPaq8JuRKoCmwLqr3M6RmdxnThxBmsOj9JewYXxOoGwFsCoqpQ+NBu1vBepJURHUNQxmUXQjYzUkBNPmTBuPzZMwVenuGkqoa/Q0Smpj3H0sxAZCFiXaveway4m1wFxWsWWUdb7KD1N4Uw6EQkZsDsYcXoK78mPgv6DDXJePOl/dLZsCkxVSkvFhIOSJzzkYlBNlfecS+Gv0vNktm8+UJ/Asfi2Pt2THfThBAhgFrYxvZcMup3h980Y59VmXP+scGQcnuSCgyvnydQNVDbLUcDTz9mpOGv3XP7Q2z8bfDYes9SvY1ubUoDuFi2+7SzhHwW/7n+Mm+rpjnCPgqxmpvuu2G7lQ2Pi+O4AXgFHql0evUW2lQMHOdYyedNGTHMjmt3KADiLzV3fjp/JkA1J0qCyi7JH19TWAt+97RtfD68/uu7moU9pgkAzErvF+1emeLW9YYyzxyF3780SvOhLV1VeGOLX4+wJQoKRy3Hteh8L11XF0PjvQzWhc06DUdXR3/+5+DzC2RNOntClILsBtdN9f92q/StubRbrnkOPOxXUk6vgVdAoSl+a34Wnf18+Nd3Zjn5VWXx54JUuXb9DSEh/v9+XYN4BSHFG92fJj5Y+dz+oCz6/zdgPdqnT2XdDnyZG6fP7kaD3plVe65ZVTewHvDVpdW0/X+HBwyffobD7Zmn4vLTpvLcXXR7qkVWDluYtdPZejp/+cmdrp2145tBcvdL+VO46nez3NY/UWR8kStr42sgGoPq9yzlmfIwWHssVrde7QBD7jVNu5V4OXLq6efZDAWj/st7J7yo5XP1Qv9f43OOkvHlnfVlWxwNZ0eAPXdZTbOKGbH852+9NNj9Adf6iKu47dPnS6Z3gV1Wg6jG45zxo+/V+SYJqt23tqdw+73EvoSWoNhwui76+Sdnqim9OVvgL8MrN+k2RaP/hi6FyZbLWFa1sVBSuZk5sA+UjLjxnqrufDOOuALOLa/pqYKpaCh0bJyhxdLyEiB/AbtM1H/OYe14jWwW3mt5NhAgiq6LdS3woZhq1BWl+9u69jIujNiqEFI9NSzCchxBjbon79n7H1mosqfbRtRNA4OGXNYAFDy5h6hQPwh0ZdVzdDr9Sh7z1cU6cPGKCRtSRTfKLFdyOLOsQXnDMGpUODIIICwNf6O57Z2hPOXLM5nTd8ehu+4+zsXJnQlraIXFkoDyShKwe9hkO/8bd1PXX27PKtzwXraGvtdX9TVjZFhU+ty/CpzNZhfVMGeTewV3QwqA0muYesfKPsWp+1aziFXQ/Vbdo7v52fa+jxxnWYuyszA6q8xn3Hr3bjFUiiyJUPt9wcqDQHDFSdDA5agY3oNT4vwFy7OznSlQ1GAJzARfVZ71nwcp2WVtQ8AdO2ZnlGD+9cvPNd4Gs+d+14nAyLoDez6zMjaw44Ug3g0O0NFAA+N2C6+XSu+XDOjvl/pbnmyXEORqt6PBPvajeA03ads7Xde6DDsV6749OjP/qjP/qJT37yk2/0WHCvTl0DTvc55p1eBvia8S+Abal+m+AKuTTOW9HRtVw3KyuARl6bmW1gdffj1KG7MTVIUR6v3OLt62AU8O+7tXY3e2+8WrPctTXsxwDgyg5nF6dL9bX65kn+Kl/mZbpg95g+oHf6zLW+MxXegbOqm2/goJ9iqOpiurmf/WYZhftf+t956Piu09wkx5WN0ryYj13ACwXv9HDnuPiJvZfxG22HM/D57tXN4GrH6PDKU5elwKxwXN+E0XWRxbDNPrGfKifY/MrlvQed82F4ROKGzLxq9E5lpzqtju/wgUytjB257Lndm4DuINu1P0u4wGRshgCwJAq+694K7gv7k3MOcIM8a9P9LaHXj+qfy4PmqLTDF92gabvFKxNu0Kjy1lY8OMw52sA2O05Xq4Z0L/qmFXAC4sP4zuVf9H21Snd37XZqN7av//qvf5vPycOW2mx53+67zPMc9c2Dkm2vPlPdJoizvsnmNkO679ONjgmEtCxZoGLPN4+1a+avDiwe8zvcTE7qAH/kTq3JF13AmMoWKAmdUwaJIct0IqnNzHbTD1tPm0iKvwJZgI+gAwwDCRw5IJEiB/T2sWseJQfcTDC9p7KRZwDhltYBJAzGVfTNcDUzzBGsQ3rBjDZ62Y3t137t1945VxR2o4wyQQ0gXIPTqKMyBEpFmfb6sd+ACWXSnAbCbV0VJ2nPxNCy3p6JD27U76mkj77bkAABAABJREFUqoC8dGlm2vxSjF5hMTrpE8B3I5ilexUVZdrNRjhj62cV3s4V1QK8BA+AmvHZ7tVMFsOwDwcSyBaRLR/IHt5qieusUPAccGXnDHZpX0e1/69Pgjl1aktHwZNbElnnDo+Rh2ajlT++iqDWeXKsTts1JpNt84ZPlXyh6861Prjv9NyHMTVO5T8ccrxYJU9f3Y1E3KNyh78FHrpmuUq9zuOVbwayIOwC6gZ+Kj/6UZ4qyHR841DKhAbOuZUCVxeXTzn6xkEvcVTp4jq8+kR/6W+DPJW9lnQJlJCL8mEdVs/cMXqrWZR7vf9rfAuI69SSsfHSgoR1LLSf+ImfeDv+4z/+4+90317B0/m881Z9V/0nm29ebsC4MuS+zcDi/wYQXcdO3uoM55W//e/62iM6yfwBzf5vRqiZrKsPOifo5EO2gdwn54wjcPXKDXbKXg0Ebl5UFvR5DR6Ux2tf6A7/0zv0yQ1G0osyJVefsp3NQFUOq1fZoDrtuxamEVBrUAFN2I/L13UsCzBvUqLNb9cJeJrfzvGaIHDnr/K4a9lX46lMonl1bPdJEFyBU8u3l57oQcc1EIDGyu1VBrZK4eoLrcdr0yq7u7+3AEyv4NMnHi9tGzDAp+5Xu6JKwyZ6eIws6Fcxf7Pt+7123H3pELJpWU6dfpk9v6Mp3uyuvA08GUMx9sWP5Zsb0Ke3WhnajQzZYbxQ+/QUMEMHAVh2Ex95tvOUXsNp5Q0YWmCFbKgKsxdQk32zY2t7zh/9o3/0zZGdU7xXqs2X0QcJqwWB1s85tfu9mH/f5z95Vp3PlnvvnH0sabChpgAKeqIlHmwy9Cb5zCW8doNBH5tT2xK5Rs8KpEw+pqqgXscC4xhYF6GPMBNmr33pFuEm0TUM9lLrAI/XfXB6leC6XllsnVqOuNff7F4iwItqjCmaTcHkoqXGXIejQoZ5RQyfwOb9TsAI35h6a1CBP4q5CofiJ4A3ulclypHRp54HNABAhE1Dn26xrh8FkDIkbTXsV1FcQUczNMFrVZyb/wn7ACUgfMF35+OJHx1n0FriTUGa+wprHTlzT3lzhAC3qyRFMClY79Kt0K+Vf9vnKoUdZ1Q5IpWxzuvlma6HM59ACUMiksf4FHQV3FwgXGecjLf8uHPzpMAucOw8dl4E2kTygcmu+ekOffrXjWwYTMblZs46f/vtOqHXwDYyy+Er+L5OXSPPldXrqOrP098CUtcysqXplQHygv+7UVl1yu1DwUOzSpxGTu3aDXD2nhz/ZmDrENSpRXfPKBADWqtfCyoaxLnjc8+C0AuULv09R6S6AbHy8ypIRtuVuM1xUuJ6g5rXge4zqxcvwLzX9jdgodVB7dvVgWheoHpbnYhXPNX7V1ZucLGyf0H7dQDqZLKjKrH23cYjl9dvuzqFTZkNGe5wv1575bH38b3O1Fp3MK8c4T9g/zoFreKqzihfF/ixzXVOGmC9SyFKz9rg8tp1ahusfDpeOt0Axyt+u7+14q79uBizr+y6Ti08t2v6iipzymYUTDuvpZd17NCzyYzOn0DT+4B45bJY5p7vf9WLgudPwd8nnn717AYx6EpVY4JMN4hXHXt/aza1z6Zv0LobJqqMLHag01zXqg59uk5px3Kd2huUeRUo61Iw/ND7la5PQbPKSJdAdlyeVyd/rU7tGr0BO6KlRANcu+Oqafadb/CfP1jfKxklkKiCCi2X+Onyym4opa/sRJ/PV1gVi6rLy48Sal2aR6/BUq02u0ma2qtW5nwsTi1n0+TI1nRiRR84fFcp+L2gjXK5a/5siz4nbutJAQWOVAlKWXt/mAm2LlQ9PlCpPy2HNKl7luzLPit1WFRi31fKVmatgvX/nYgqLM7dnru+VelfEOBa999v6+tKo1ZyIBvtvkB4Sz8aye372BpBaRalGy8ZR+dZqzHYPbpDpP7s0zkrYzZiCJxdpxvd7Jx8F4sr3VVibDOtgcW7JmftSeldOpsHGVP3kPXnnOg/4eycN5rMkWGQRMrNhZJsvPMUNKpyr9Fchtd3pdDoZQw2+WofCzhbklnntcCxoIHRq7OPxvi65bMFDwzV5LJjcu8bgb7BlduMQ1RRcGd8wijY2KmbxinRVtbKGfKMuwEJh6dZPYaimznUUOJtdAIku/HMBdR1UPzFU13ycJ2XCyguPzbyWRm6xkL/BegG6pUlCao1EHX7rVrGnKBJM3t1PBlgpZr4oeuiL5AqjzxFwC13aRmnbMAFo73XK3BfR+wCldKRvI9mC5Z6lQfe0X75l3/5nU38/Oc//3aOtcVoKRhwQZkxl3/whiqO6xySbcGk2rvr/BY0KgEzd42clx43I6jPLWNsXzpvntMx4OPOgftfp1YbRiAfsi2z4W0XpN4xm0O/DfQt8DDn2FKCBgfxc/Vmn2UefacTLZsqYOt1KmTQqQHTZjxlG62Lrt5hW2AY63r936B0gzmlS9t1XM1Rj7efGr6rzAkWrjV7aI7bj1Zy1MbQUU0mAPe3bJuNo8eKSeGpVqYs64UmC2xcPhTwtcEbOnd3aTSr3sbT1R2+tyyzgR40HE9Pr3Qn9VcgvzagwboG99t2nE2wrMz8NMgGP68JFJj/birXUtHu49L3uBfvsQcqR/QJXe6SL7Tpxph4oDQufWsbq1vMDwzZKsoGhWovGrC+8gEPdRdofexxy26MZxhF38iv93yj155tY1eVQNNNw7zzj1a9OX31//igFH/tl37pl970yebUO2wtVdlbCOZ/dMPM/d09pvsE9dbf9W/B173Sc/eW8WWnVCGyL6rWWt25BttywtG/fmVtkHnmD36s5cdK4CiIRv08fN8ZKUJW4Cdqo+TIeUA+RTHwqVTRpj971l3HWGJgUIuiCWA3euIAVllWCTRysD5YVM2Zdj3hB24JI9AgI+SjH5vs9Q0ARIMLmGp80bXbxmOKt8lMyUujIuauQu8aSpmBtdC/wNPcFJAaZyN5nVsM7lmd60bXjOkpQuMcRtvYPKfO977P2Z+QF/xfQ/nU7nHjWeP4dO2p+xXcP4E3mS5OK2Xmfs2UGiMHunS2m6I5BbQBht1n55gD2bULQNfq7HTNZA3YBY3XoFygfaNt11iL+jWL1fW0rxxbYKv/v2oXuE9GNjbrLhlYz5iS3n3plTo5QKFnXudVYKNzUgMoM8KBdi2dWbrQIY0637Fe+eixypBgIVrcSPSO3cBQAwOMtqi9oCDnzBofQNH1uz+92GBNnVI0Q3/nd/16o9Wdd3YBIC9Yxr8NnlZnmD86n3Phfn1dU53wNo7hh2Ws1gYK5mRVbmqQF4ja79ZYbo+CgQgbWHXDvqtbLkhjvwpgK/eciNqKAnoZk84pO14Hc41NqSPiuGsuX/VYK4jKv12PWOeq9hgIKk/jj10/8DZgZ55vIOFJhmrT6pwbz4KjC0BMTywrwUmvY9nry68X9LYSSnAZUOs7IxvI6dz7NLgIiDeI5DlkWWCvr/G56/zrnNROVMeTt9r7BmAb4GgzxmbZaiPrzD4FHIoB3KsBw8srF9dcXEUvtRJqTeJDsBWfzlapomJXa7PZBWtRL4/rZ3FNZaIBYcdb8UcfzMHYx/rLBvm+2Fa6d57QcMfmxKhKpMevk9jvdAve6PIiAfVXzqC5oJPxUpMdDWa0MpLtRT/3LS4rzavf23/yo/y6y1xaBYOXuqTgib6CXfs+HLpqSsv1lPIarznY/3yF2zwTjlipMByzAD0steoffPMVX/EVb7Zlz/in//SfvtmVHdtcDAvp68a0+aZb8ftv//Zvv/V9eml0/u7v/u43v8e+APWfWlHGSd3/9tqxLr6bTtVmmSv2Dk1afu5NLE948SPN1O6vQWHgGrc6OmWyRkwa4cWoJpDweP8eAeJgMMCAU43BjgG21ti6XzcNkoXF4CJqFSKGZBETO+yJCGqe23UZ/jZqXmPQEsyC4yfnqxHma4Cr1Jshc+5ds1ba9/7NuD1FoRpRrrNfxqxjU4f2Rh7xSCN1Pef2r8bgOr4tbWGYKKbS7Y7rKpA75l6Lhn3lEcXFqDHsjepphF7gwBz2OQU1jdhdHvNdH1z7BOAuT3XcdTpLn1d855waNYD5Gg9z9eRYNSiGLk99u2OpgXu6pg5o1+czWDZF4ZzsPGuZgb5Xke81QIKxq8zTQw12dXO2+z7IqyM7nwVDV24uIC+vOEeGswEGtBDoq3EoiO0xxtwSkGam6XqZituXuy6ygLa8Rwczht1l0VxUH9TAN1vj3gXHdXbraJRWBU6lc+Wh8lkdfufCNeO3OazTRXX627aOaeNW2jqdNaf2q77qq95lQNCRnilIKzitk9Mx1UF5mmO8W8e4II596bV1AmrTqsNrl3rtU1+12og653VE+vzyz/6O1l7Pt/+77qut+uZikTv3a+Mx72y3bOHKZXWfcb56RnUAWa9D0cB69X1/a0VEsxfk098GkVpx5pwC847h0uHqkspBZbW0aNPHVkjUeattMu5WG5RHik+67KvPZHfKHx3Pk/yyGcbDKfasG4y7WcbKTe9rPJfXa8NKu9tPv9u8iIN4+fp9rbL0hO3u/+yDMTeAc/v21Jc+p3O5Rs/3PDq9/HTlBFasXBVbo1N1+9M8N2hJplrl0NL/i5krT5ev7vzica/aERD2GkKyXweuuwSXpk2+eXVmX0dnx2/2Eyb9Y3/sj73ZZ9l9NNy5ZEOwHzbjPO7/Oa8ysfO/du7+v8Eb9LEnj3ksf3VO6LAGKaq36JNiHHssfWxObdPnzVqIvLcG3ER2wbPBrTXaakAX3O270p9GAy7oWENs/UIMi5WBO4agO6NSHo04YdBN1iaUsei7be96mKbQq+QrBI0QmeQK4FUUF6D5va/SwSR3R+oqmApky4r36aYJNTzXab6OinNkDbu+1ZgLZgqC2rc68/vIqBOSOk36L2hBEQ+AmMNrLAuu2rcnPnJNM0A7T+YP3UTcmyHDz81SyYYK1jRTUWV8QdsFTLtHX/9Shd41HO6lObeOs+MAcBVJjTk59ZxXwNL1N5vlf2CBk3kDQ09zVXkx/uqWyhUZkPkQGex7GkUYrcmcPC/6OIU9HUO37NOMlTKnlrZWBhlfUXxZ2r6LtjLZOalDULlD/+tENMDjU90w3dxgDJoo3d+xburRgIF+dSMqFTIttS6Ic43ndIOU8phGTzlu9909ZwZYRLa7gbumMtB5NwbG3TnKLen5V4Cw47/Oq+PNtD4BJvMzXlvmdYDm2kJt78ndUpZlF5UprxTse77ne96VunNu8Lzv7QfQWVpXl9WxLTBjbxsQoGuv/qmjRedeoNz7NotW3XF1fIPd5eGb1avDcoNmbA56ez1fM1ltdRif5vL+v36shHkl4puj7v5a3jBm/7+6vzk0vurX2riLFfCY5V7Ggu8E0aqjavMF2/q6Mn2rrq4sN0tcOWwwu1jMOF45tRxbPOI8eubqoPJN8QpZb5CxNg2datsacMHDLcPvZkR3r5DRVVCyARtYsPr7BhnLf0+Y99rjJx20/o63pyemH9ml3vO2i7NftcpYMZk9VfB7+1ZMW+xf59P9zK3S5LuJX2UC/jcHyle7MWH7UTqi2SvH99LZc2QBBUG6A/HFgsZo3i+fV9+h6YKbm7NVeO747ChcgN/0veuLr0/DrxofSqytLwJtqlq9seI3f/M33+zLnisQh5f3O3yzrC/55C/t+877hm/4hi9YI25OqkOqg/RpjQNaHdd5kwSyvAuGgk9gRXiyywM+FqfWBOwBFEvLhy+g6TqfndtXD2By5cZAISUjAiDLUgdnn762Rvkp8Apc2u1Pq8IsEFYm6tnezao1IjoADCQyJCbZM1oz3/tQ6GP2lQ/sGjsov2o1lhZgM96jzZhXhIXjxeG9c3MjrS2HbHlXmckW4soEMS2hokz6DjXzrM8AfkHXdea7JvSu361ButmnKf0pkIGbbnNeY4H/8PCld5X1E/33zD2nwK+lHFXwXctbR6TOLmcJgOAUN1hQxUzp9X2dlHqzcKWt8xrRrsJmNKtwKFr9qbyUP/BVAxh1eqvcOZocpAWFKNY6R0+RdzTTjwtWnyLhe85AgJLvlW3t+AJTVZTr05xa29uXLo1Sc2rNbQENkOFTYNnf9LuA3vgq33XcC+6f6HwN9uWdVtWgv43ULn/fYE+PT1cx6HR0HRzX7DkcufLWDVJ2/M14bH7qIPX9hUAPXe2+9AT909doMML0PxoBXqVX5a10vqC/51aPqiJaxnX0tT60ul8bsLBz5MrT5ozNcdqaqN1v+rxGvQBZwOEG7Z7AafkZL7K3rrN5kXF2LfMtKUTTymwDZNU1a+Z/v03uOQccxjoAvR+gVMDaihDfVed8+tOffpP3NTvhwhdtT45uaXj/H81mVzY3n/nMZz7xqU996gsyhPpemaOr0OIGLo0d1pAVbJVXMU4DE9WrBdl2271OBn3VbEgzVZwNoNZ8CfzdQCWaVwfVwW0lkzaZgAXqFJZ2dUxLp+tcmMM1+lXQ+FaPtX94ie6oHpSgWf8Ac5vp9Jk+6Fqsu2fBXU0emE/l4ZU3WI1csqkXN6yfC36pNsRnX0wT+On9HW+zdKSBd/Shk3tPOgE9BFToWjy95rVK9GMxRvvhdUxrLaHvebWjtZmCHHX48VJxeccgM2kcrdayv0F12bX7t7VPxrr7DOtwZK98avwWcuR3b14Zbbz71vy0amPPnU3h1P4/P3hFz579fd/3fe9KiWHs4ilzY64EN9tPeoau8Vx6Ym3H7O+y/q0cGi6ebmZTOKYqwPZsvh8ZlWC7QYf/kfY/5NRWicnKUT6iMRsYY96F4gS7Al9l5rgoUbMfawAJY9CylkY0b7TlRse0AnCGCeOqca8yr1PSdWONwnVcNUg1Dl34f6NqBUtaBRkYwNSNoHjHHWZkgAmxawmmsosb/W10tv/X4cVojTDJEtUhqAFuCeNTtqdrfuuM63/7JKgwIRmw2ael6aVhwd2NoPb7daZKf/PLacabftevAsoaQPesMjZmNL0Oy/uijb2XiDP5aMSyTtWT4+6aRu/xwj12wX0d/CenFq+3SsJ29Lu395vdhkerMzqnBSmlceeMI2pzL1HB21dzeTOAjCQwdpV8ndj2+55XHrqybn6e+LQApnRt/y/YLe8ArQAcI1sj9kT3pz7tGmWyyo+6jh/tyamlKZ3D67hcmslm00cCAwX+zbJUvxXgK/kW2DQH1TkXpJWWlZPKWPmv89ggifWxxlSnv+Pn8A6sbK3Tvk8mpsNmE6yfb7aqstf+XX4xljq3V45aNfUqkPc0xmYYrw699KtdMYZXAc3qtMsnnY8G1Xbu6LX1y/twMvCCOWm75ZTu2b50XOZwc/K5z33u7TUZXWtYWlVXG+urIBxedT5Mc4NTtQv6e+1p1+nX2S74bh+qMzi1Aozm5kmH3zE+6Xx4sI0OakVL10PWYbyygt9vUBAtLr4yro6xcnxxDT7kKKBVX9tYHq/uvzTtvOMjfSiuKW0dvzhIPziW4+9uENX2Sn6vPF0d5Pf7f3FXN0tsIKyYwpgbwGlCAu9svHbX7bPdZzqv92pgoLizgbv2p9UZ1ecXB5b29oeow4rfbyCjMvYqMGY+6J3xlY2YNr59yKs5Rusb2JGQW1+tg6e3i9PRk+3b/1/1VV/1btPFvQMdrtl9W2HrfpWfV3inuqX83yDemio1pcgCRvy59hnf14GtXylIxhF+H91/X06tTnRdLSYAHnn7l6FqWAm4VgOM4AhEYAp2Aa2WUWGIG1UXpcI415ERHXB/TFxlbqL1Tx+Bawr6Sfn3HAJlh0Z9uGDplVN7AT1mH51EHZtRqZATNmNslLbPbf97vAaiDIkfGmSo8e16nkZY73PNUw1fQVUNUrPIiwQtkimgYszt7wXqF8C8r1W5ikTbYdoYa4A9F2C599LHOiS9tgq8QZULcsrfzq8B0jrWV05UnbDO/xN46zn6ViDSOWpkF/0WORRBfTLUT/P0ZJDJ5NN8NktJvhvkab8Zxb4Tse8abPT9gqsCYvrDPHZslcM7xvJp+b2GrnRdq3ze8ny0ZhQEgG4WpTzQPl2eWQOw5ojhsTq19Dlayxw14NDx9Tn0fA20dbMyQOaLsSufAwqc2Wan8MfNVJW/KoO1ETcwdG2aeTDm6aNVBTD26+vTulo7Ptupf98bnPOKH7TqGuILVPWhwOg6ntdxLADtPFwn8zpY+P2Cm/anTmh13w3wPPWhNDcv7Vsdv91jlU7b1GR/O9/6cIM35YeCqcrZ7eeObb7m1H7Xd33X23wB4FcXdk5Ky6sHnpxa9K7+J8uvsECrxF59Lk3riLbslv6vLb6ZnDqNdSLf59SSV1mnq8/LQxcPlGfvWMhd9ep1tiszxQQXZ/Y1eXVqK/N1atH28ueTnkCb4rbS9VZdVF68nnLVAtf51f+Ldduu3Xzq43UuiwHM3dp1akuL268bfPO9a2obINvH+4SLj7RWVrGLN3BfPXvn4OprgdHR1yZgxco32PLKsXtq7r/zdu/p8+lvGyddnqxNbF9VWdIPZB0PN2hXnWKTr//6gXyvEqiBHphH0Li6+vpnPsX095z2ie2Z/GwPIq9gXZ8kGWpLGtzatfbDQaNda52vcX7sTm2zVmXgbhlPIeoQxkb8RrxMHoX9FOnf8Smh/bbothLO7hzLGHUiOX/dhAoovkCSg17it5+UM+BYUHEzIRdE7PeBQ5saeX5BwxOAryEG7rrpgzWBY4Td2xgo7YKN0pphaxnfWo0imu363W8ZtgvQCwqrdDB5gwXdnMucOdc8PUVwzKcd3+bIKtvb/+5bcNXxFASWroTxybi0ccRkve7O2crkrQvsWif9slZYlKzAujS50XGOitKMa0grKxfMUSQiZniy470Aq4afA3mDQWv6dQFeHe2u49z3gVBrKO+7PJ8iz3e+HCNX9zc6ySYQXR4g6ql0cSWg1ROagJ371QCbL32ogTLXgk5PTlzPpzPcs2Oos9rrGeUGq+pQym7iUwZ8bbLoJeuXbk9Gg8PPyCwgYeyCAOjXPQ0AWcGzZpQKHhjj8l0BanneGJuhFwi7Jd9r3TBH9hO9ap8a0CzvomuDIL73FRaNKDfw5ppL15/5mZ95K+uzo65g1NZv7u+cWpHuJ9BqTHS8YxyoJzBe8EJuCq7Qon3v9d1QpP24ATRzU51Hr5fPKjd04Z4rmFwnoKCpfRwdf/7nf/5d+aTsd4PMba0e6LHa3CsP+vOzP/uzn/jWb/3Wt2N7hrXPN6BZvVl+9r10Q5sCTbJReW/f0FapJ96v3nhfq2NXUEqvuB6Nq3/qqFVOKgM3cEb37zpZ7l3Dcdxxy7hailu+fzW2YpCWH/f3BvLNCTuof9Yqmo8uk6KXqv/1pQHbq7d8uiyIXSqWuvzoPjtvGdrxHT5sIsE4Sp/32dE6nq+c3Toxu35z6nWAgnBNpHC8yn93nhqwkXShd7pErSXf19H2nH1X5v2UPMED7+OZ8cPsPhsADzS4Yr7QQsltafSEUzR+xPqygITNlqY38H2rmS69Wm2EX9CLLbckkM4fjXZsny/7si97ZzPnXPKR2Mo+q3iqcteg1Q0gNFiNV+iCnWtTqdmzjX+/DedVJ6JT729PBOPlZ3rjzfsCOL9vp3aNA7XWzVOASR0rUKQEnhzYCwwvgEZkv++7kluKUyQHMVwH2FKcve91Cmo0fG8E+GbmKgAmvdGXGmMf7366We1OeJXdzXgUzBnP+jTFMCZe9LpZRELW8ssno1ZAdCNzXglgMffNJFbhrxnXruVU1ygX3Bv3FTKZf0Dds7xmZAB7tfsTmDrIdcjvd+3DQED7V96bsFqPsed3XS1FXyewoNNxdCuYM4d+F9WitCjAAj1/0at/O+7yTY0zetzAkmsKPApwCpob/KmDztibv/GN96WZf2tfX9G/89R5u4D7Gmlj0u+uIb2KdbxEjso7BfClpTmqvDzxUfmGzisYxFsNULhPAVMNRrM33XnU/0qqOPNKjwF8Dm3Lwzzvqf8X4O9ZoqZ71t0LoGvTGEjzYEyVc7zdeW403HUAZz+uo9urn42rJWNdy3aB+h1raYOPG3gwD2ygXS27Zq30vPft+wW3DmnXjQ+nx/Z9Acpv/MZv/O8Cc3ioNL2OafmqtG0Q5rbOT2WkdsF5DUI+ja+2u+DvOo5sLz13++K7MeN/OuVXfuVX3jZEmS0df9jtc5/R8Wlfhsvr5uyJB4oLBDH2ep89a9mPBSQavDWeGxDwnEvTgnHr0PvMyrpWfd0s7eWva/NqU8vz1ykqfTqOe7y2wHxYq3oztfSldfDm2vrFVqRYIlVgWzxUndDxrLGP+LzXtNEJEgI3G40uroWPyhNoVWdVf/XrBnafghy99tri6YbpidnHXnv7cMfnvtdZfuWIXbtDfnf+MNxspzWflZEGvxqsLF38j8+KneGfe557Xyyon7LqnLyOozb/yh4MOd0AG3NoXdfEWLOzxf9P9Mbn+233XkDSEp3RgrN57Yjrqqcrk5Xj8sbGZzfsPWfOsgTBnvN72a9FRaFAeJdO3CWkV7c3yNG+dQydp+oJem206CamDfI2CMvHqHOtb634+1idWgaGE9tNo+wu2kH4v07eNaJV9hU2TF0i3Ag/kNEsBeFRYnQVfSegTm/LY3v+kyGvQmprpONOlFc53MxM732fVeFHn5ZT7TMlNMdBdFm2pIBd83/p13vdyFQdNtHHOpIcMffm1ALTxnEd9IKICjBa4TMKxzxPoJfx22et2fA+p4GIe/wJ5Dy1niNquH5Yn2Dc971uF9g3y9f+XEBfMFnH9gZV9r3R9Qv6LyBoafdVmp13x7oj6qUF5ap/lYcCBU6WbJ0KjbsR26X/+5yC8u+Tgb/fO0/eFamvZETgpdkS8tnA0HVKbx/vsxv9bECjevCOq87qdWpbyt3/6T3ZEgaL/p38ju4LfN3s2qX5K8O9JoC4fimpQosayfJ++eYeu7xXHr38UNtQIHIjyQVo1zBXVmq8y9N+bzCyfN13oAsgtFS9fXiiqb0H5tgCGio7dnxztGxtN+ErLW5QpPSr4/EEgAtuC6oboFxrRqnzV6cMva4O6fkd+x0H2l8QfJ9V/leJNKd2gH/HlAS3AqggrDzkvn3+ze488eb+33rpPWsZtAWPL68Wp9SxuHauehmOudVdQGarYK5Ov47Gk05/Crw93a/BtfLCdXDrsF3geUul8ZH7q4hgP6/8NTAgAFN8UcBfXqndepo711w+belkeeDa2icHv7J45wEPotF1YtvvJxnh1E4/9L3gHdsX0/q8p/Z0vP1Ab1iyS0qUTnd5TvWJe9D3Aov7vdU2pWN1WPtffmyypZVUTza5PNtqAjx3N6PywbfNCNfGvK/pB15Eu+HVltaWTqXDU/DmSX+0NHytvs//K89a/yWi2Cn3sLHr5ckmKMlqgxGuN4elS30+eMu5xTyX94vJn4L1/1Oc2ka6rXHCKCMoA0OR7SOjW7DAIDQDVMP7pGQds3a018sKlXlsFtONrBDRcyqc3Tmzmd0CnSqEGv9GsCi2gr193w6Z1vi5r3aVo2O3D2v6ubY+KVnY5iOL8s15JvwyZGUQGZDStg4+uneHzN1f1KlO13WgfBexQbMKcJ+7VodLZK3bwauvX3+m9H/rt37rv1M0+NL8tilPRAt0u9kydL4fPDYwv2j9L/7iL74BrCkR6+B2P2uu3J/D7/6yZ40G3vWc+rVPS7rQEW+1NLO80d2fGZRbqYA3auyrxG028PR+sJZmds7rcFHmgl7WlmwjgwUj6izjhxuxrsPsnBqNG62/0f/RpCUsA6MFyjuudPWW4BfsUKjX4F6lXv4rKL96zFrfgpQGA1R0eA4jpVy2mRwZ2e5y7N5KmSbrXpxemhUgtlUeGtxba1n3xr9AGj6bfO7c8bAIa50NOgR4qSGdMyeDUnnxXHq7NLvOWBtd47euBW5W4Cn4wGntZjqqDqb/9vtAgew0vbJxP+mTy+eevxItdmF0nFzMeVoGd69c2Jz1fsqALQPpJlr07B37zm+ZWB3eRurpL9d1Y6YGKq681rkrX+1a+sVSmGvXyHjLK68j2/mYzl/GdKXHa+Nrm23tnO4S+0T325opfuIt/dx5m6t939xM39/A91oDdXTttecdPzloAEOJrjlp9lHjLNxMCt19A/Ed1/0LQNbpLb67fGw+ZGf7mrbb7EDfudTXvqGhQNlccJ4872kDp86j/mqwpOc1Y3jXuj9V3N3WAFf7eavULm3X6iDUebpl+eZia7i3vI7jUCzTvjYw0XGb7xuweaWXOvbexyvXLO8qJixOrDPUgKtlWt3npX3Go9Op3W8F7QRt+1E1eJcHFRsVh3jPLxzljSiur8OMZntGN4XzjCZD2txDgGrPnz73/C2Rm57aPeHP69TSM2uqGyTZSud9n1zxIYrx4cX/8gEuWOBvGAfPWHpEV9b+ek5f4YNn2YJiRLzpw0bueXwu+qn0ujbG/YzZuDcOFbiV1Y/cqa2wjkAWASvBAmgQvFFM4AbjmvybPavRLRhslABxu64RQ3HwgAHCtT7JyOyjPwB8s7UmthuMAKp2rUNoxL6R/ZvW3/O9KL7MrFVwqmAapfS8/c6x2DzYsnt9ncHFtHue9T9aFfctLeg55kCmauNR5gXoNcjQ6Kvs+O6//rUMEh0bkXVu6dhdrpVwbJxehzFFtaj5U6bhRu/wQXlKqaTfnjKHVTKc6ymUfQY6Z3hkixlfdHVt55Lh0k/nrS/Wbux8juTO2xz2+jratzrBObsPp2L3s/HRfXdmS4AoJrz5FPUsyLrf9+kmDOu3ag5b+68f23BlAHG/N9pYIKPf19BePdRWoHEDTWRGdnHHbHUPXI0XBNrME2VfoH372kAUENFgHZ1QvqxuoPfwV2lZpwKPcrRaYowH6ojbdbHvuVMW9WGtMtOI/Hhsxlp2cfI3wLPXCLSighPdQEEz3Vqzs92x+GZIGojcM8x/9dYthaoOo3/XOH91WujrNfzLwKIt2nu1GUfPq0AA9b6r1zKYtm7O0xJ9NBrd5rjhv+7KLWBTZ9S4O6/GV55Ee7tg46tbhsYO6TterJ0riK0NqNzWZjdw0nvi9zpR+uaj39s/YYHEZWnXzwWobFxGDryOo4E27drqy+8NcleP+H3P3Bqxn/zJn3zbVXTvctyOyHUoL0+Vb93zYpouw8L3nZ/a19q3m1G8WVr96Kf073E85b7O63PrnFrqYBlVg1xtlijYO4EcGuf+dhM/+qaVTMavbHS/u28zY9eJrX4ofZ+cwUsjrckVc9pEiPs2KXMDI3TDtRdPtm36dTp1SYli6nvf67xfPi8P3+PXOevx4nVjhMdU6NQBXGt1o77eoBSbVUzUYE3toz1bKgfVGcWtT4kj+rS6mp7xyq8m2MyHijLJuWKz64RfPqGXWzGI/9a34cThcY4yPwRfdD8Yc9DEgY/x7fjsBJpsXKX7fzn6mp7nJ9Atte2e38AAGjeAYZ8Ymz/dKq7h4d0Dnc3PjnUZED+t+l+wrMtJ2cmPzantwG3OwMM2IY1WXIWIISgCnS6zV7FeEN+BNfIl8oL5CROBBE41jKQvfc9bgVYV0h3/7U+Zr0Lp+5SUReo1AFdRXaEpKECbvg/yGvD9NvC+Z1rzRVBrCKtcKdwqz/6OsVvKXLBEqDtn6FlnvfcE7JqhrTFvdlu5trkaWJ8g1xEroLj8euet4KvOdFvvs98oBaB6fZhjvXtMcZafullaNyIoPet46UcVqT5fJ6CNwlAdUSBJOe67TQpupq7G6QKbG7S4Tm0zN/6XSVQGqx9kE29uTdrOt4HUpfk14v4WxBQo9/s12Pttzx2/eOfbaDblq6+Nnppr9CsIaqAE0K1+KDgvjVo60zXpHBHP7NrxZmfJAaV/Kxnq4PhMNzMs9KMyosrG1WPvayoMVIU0WNXA1mjq2ddZQIvObcF5dS46PpX4XWfpVWD02pCC06s/CgBKY98FcNm72ored9+VetFnpXnBnOfRE5xu/NDxVG/RuZ5RutyKgcps+aqBw67TBqpqTytn1zGoo9Y5ufz15LReZ4tssCscqGWwF4iazsV/QJI56v2u03CD0e1faVXeum3PGECdY02XCTqwdS3Vuzb+6e+1w9fhvbrk4oRmZq9Te59VJ+nOT/my81ndX55Bczaj+Err5nGdYza0DkOfW4xQ3eMc13au0b7Xd0PGOhGlS+95j9UGXVrWBvVa81Sbfnnpib/o/CU9VMO9Dxu+0tlP/UX7J33Yc0vzJiHgPfPWV95xKNfwaz90x56vIuEGnms7LtYolq/eaDVb7WSDj3S1vnkf7ZXLtQb0GgD5YubO8StLxrO+TG/ZRKmVeQKaaF4aFl9cvCMzCxsXg/3X+D6l0Q1UPfkstaF3Lvl97l2fTiC475fv3FaP4Zn6iuwrZ1bG+c7Tx1p+bA3niLCSWpsBYFyRN8rdaxsonxodk1ZGL5BZuw5X379ESCq0BY+LkNTJphSbnS1zvhHmoayq468DcPtYBsIAc2iXoSqDULR3fDe7h9EI3KI0Pcc99qyNZZnMgcpFSGXMbGpkbBXClgPql3lxvu9XIVQZOMaBxuyaObr3bpBDqTGjqex445L9mXPiZc/NhgOG13i3FcQqNXnKTJpnytU67T1jWdo5R6PpDNA259r1DBHluf/tvLrj5bMGdWpoOQ360YCPeSgYwouLBMos1XHZOeuvObllYuXdKsgaCnOMbl3jjAfIl/kaXWQKG5lfJcG3f/u3v10zurUf7zPadSLveZ3zAnnzNV5Z2fPosO9TmNtoRna7r5xasxU9fn8yOuXdRjqrf2pstGZjORSlX9fIup4jq6zIS8npGf1RhiTwIzIsC/oEpApwLyC6mSX92b2U4CvtWv/oGBnx6nW6tOVztzTpPhu/PdGXTHQsdUxqD26gkZxyioy7WVrRYsfw9cZLRpVo4RHn7dhs4+ZASVbHdoN3e4bAw/jT3ghdLkK/NdvUjVOAUPKI5jvWJTnKp/FSnfmCD8/2/AJ5NsDxyuvlqQJWtrH3rhNObsyh0sc5s7/+67/+Bvh3rs1Ydv7Go+Revzk0bWS989Ads2vLry7Ca7v/9OxP/dRPveNz63lvJpDu6X3uvc1RgfANABRTtMLAX897Xylu58UzLpi9WaEeq77iKFjqgC+nawpm9UVQjW1Zq66bLS/uKEbTj9Kuct+S4qsb2Av9v3Pqb4MHVwdefm7w8mlOS3dY7WY/X/HX7jmarhrA5pdNCpRv39eKgdtusOCJtg2StSpJwJy9ahkxrC/QdBseavDDMoonXufI4Pnu7i+Tr6y3Tm6Xqtk0SXZ52d/xZ6vhSq8+v4kWMt9kwpW3zjWn3zh8X582r9MXqzAp71myY55bVq1fxU8qSZX47t726fFmkP89r0HiQLqP5xob20KX7y9M3Iz4jo9+N+C4tnNhPk6te3KC0RdWkOltEMK72tf2V58afP7InVrCYMI3+E3UjM4GtL9rU1QcX8QB5hAF82B6zIFxroNVZYHQ/q+Du8+AAUG40eoacZN2szuYB1i54LGGucrpAhXnrZxkkeZFeQuCjcs96uBqGIzgctLb1zqhmHJzsPKo7RC861bXvzJBL4HG3Gh8DUOVfBU7+ikxfmK2GlaKbI2AVYmap4ItzjghnTCt3xuTBe+b4zm5tg3v80QFS8sLjM0Z4QIQe66+KKvQB7yzeVg/ds76tb4oB2HMlb3bfZY82JKdLDAm5hR9OMV4vU5WAy47r5F188JZM2cNLuFZz+281bkiLxzclvvgiX33GhnrImZMrK8UkNj37//+738XDJtsXB1zDTMebda7rY5P+7NxffM3f/Pb6zi+9mu/9o3/ZRj1txuYMBTogy7lnUbh9z9Ae+eojssNJHAwRCcbrbzHWnIsa1Vljy52QjTfBdtdG9RWgIRfumtsja//ydqetVcVjOc3h0CZzbc0jiN74T41js6r3qm+R/ura5Tn7v7WINPdjVJf0OQ+MrCOAQLeI650TTm9oNHWR3X9r7Vn3QiKfthv47vS9GZyjG9ztp2PJyvKxadL1g/v5N49uyymMn/5v856M81o2WxsQSs+w/u3zBs/mbuOo32oA/bkSAGqzUaQWw54379ep77nrZED+OQJYD85NXVmy2e3KqZtAbG10XP4Z/N1qz0Ey3uf2vliDu3JEX1ycOsQdCy9rrbwOjD3nJ7b59SZ5kgIIsiAcWgA3ktvdtC9YCY8atNA93Cde91x3mqT4pY6S/t0f4pmxOo8qJIQUK/+Kx+02uIGTmsjmi1z3Jy5Z218saPr6izcuX3S409zf6+58nmdau1iXnqKvK5/C+w0+7f+WuJyNwblhApQVX/guV3PH5iua+UL+1y7v/85/vQW/ebtGObOWxfg6AauzInxVt/p3w0SPdG+Zcrmujh3z/YaStVizeCrMrlVTJXf6Rk6cM0ykp07mrG9//k//+d3Gdw9zzidj8/xBIexCYPrQOODza99JMiqcxtkE/jacfZq9+XMCnDYrGpzNwwB89dH29i21KNL1T5yp/Y6lRucDS0G/K0B3DmM+lojF/7HyI2mNZKESE8OX6NdV0FQbs2sVGHXKavT1me2TOI6TU+M16gR5gFUlU3ZpOQaUeN+igLVGSfgdWp7HafWPSdAy4yNMbqxCScHzYCbAq4a99JAn81fjz0Z6fs/Qex6VfSqclKqvb4onwVmdv34ak7TBPc2c3rLNso/jKzzb6CBIQdwpxSmjMpnDLr1mBylXe9l25SIdaUyPHXQyhfN4KJTea7z1r7c0h/nKQEVqbvz+BSdr0PQKCmwSzGVZ0TxRVat4904AQfGzJrkAXhOrb48ycbVPZ3HymIBgr593dd93VuWdg5YQfEa53HHbaiAP6sXGJLet1mxayzR+8mpJW9P0dSWvBZMcmrNAb5g5HwY7+4LcKsurn6pnDyB4x6vbpGdkZlskEZZ5j6ba2uU6IxL3wZYGoR60rE9n/xe8HHBeJ3o6gc0fSqBGjgg94I1a8ZizpudKxjsa+UaMDMOts/cyUKsysY8Ckp4B3Yz9ub5yrs+FBDjLdezt+wJupXvVF4V4N2gGbqSC+C3Dm/n1cfv7E5lqmvGZwPQ37p3tMOLl385/JeXO0fV+U+B5NqM3scxNn3X/sIv/MKbjpmdtZnRdc7fV4L6YQ5K+19ZKK/f367z+yTbxSzm/GZmG8zsRnTK4gt8OS+3cWzu6+6atdV38wN/1H43s9TKpjtXzqseuTRoprX0YAv0p/qlGMj8olnnp0HRzkH7dPXeDTRcvrv88Io/23rOxT+9pjqx9uspO4aWcE51TgNMT/oCLerUa5wc59S5qs0xd60UE7Cg2/RLkMsyGEHA6or2sUu/Li2Ms3S687J+2OQNDwy37n51OGdTBOm6pM9Y6WcYCp30v5ifDSn//l5kds39m4mle7vMsvzbMfIB3ANPwJL600AruWjwf61LairPdIv7Wz/vum6C+JE5tZi1uwcP7EuDUwRz3LrJhg7JWLXcdxMre2X90dqteW+EqULGGUD0GvE6ygU7lJmJd/wpmlkh6i6zFVQRjwr6xu1dtCZsGalF2Xd+M4h1aDHUVSQ2Wej30W33s6i+G2RQEOiAnuuTzKd1tkB+x32jyEqDawg2rglnlUQz7reJfgLsjdYB/l3gPzCzzPaeP4AMxACc+5+jdLNo7WMVgY8SETzAAanit9Zzv4/O3m+2jIuscjeQcb+WTAP0a1NO1lIog9k98L4XwCsV7frnvsu4gl4ako0azir2jrdlscZY+cazjITsju+bG4q3Bk2ZJWXG0ce3Ind4ap9VEvzYj/3Yu2c3oHLbk+Na2akh4mDteZszWYT1fb9vTjemBUSqhM2DiDPZuZmpyi55qUEsCGKEC0LwjexHeanlQu7BCcangGSrXXbfVsOsVfc1wqv1fdZax1idYB5tTGezJOeNtruXdeZ10u1sjE7mafcio/hcv59427gafHwqq6YT0b9BOnzGoJbfm6Gd07IxeYcsOR5QoYPQbtcLipirXccuNMsjkFI+t9kR3dR3C7Kb9KQS3NHLrqQylHRGg2TASANS9ATH1Xz7TZaUk9jNteh7a9RUnnDOC2Krl8tTAhwwQmUXHdbXjbVAiE6tA97AQsvlBJJuQKl/y0vXBrRdJ2TPtbPo9JeSOmXR68e+22lVYPE61a+e9eRIP51TPXSdqALlZhRbDdVAGbnoWNlLn42XQ7FnCtzSQZfmKpda5XMDpgLX5adbKbfW7+iJP6u/qjern/q+1fVhuodzumezcyqjyEAztc2gtuR9rRiu9C//4LfKqgqWXQdX+P1e+9TIFpq3kucGai5/kRP2ePquTlAd9wa9vdlAdZClE7sHRw5tGyhnW+pIsde3grF2tAEK11z9bQ0mTK7yxzxxLqtr2rfitwZB6N5bZlya75r1i5+z81Ta6OPsomoO9ru7LBs7rLt7r1RZBlyfZF3NzZ43HDN5hrP+tw8+xrtz8LLxwu87xkejlyUgGpTbueaplX9rxum54yM6Au3pEkELzi5c6U0Z7JTE5PXXmpR52f7bF9F+/Md/fFz1B58/+PzB5w8+f/D5g88ffP7g83+Kzz/8h//w/+99+L/a5w9o/gc0/7/C5w9o/on/6Z/5oh/WvqhM7Td90ze9/f27f/fvvovUyyjJyIiiLtIl07GojdYsRjNPojYiGK19bxbG92ZMb/TzwWH/7743UtOo1e1bP80O3XKTRqAa+ezmHMpY91kGcq9s2Lqcz372s19wXl/toIz7H//jf/xW2tT0vv5qXT+030VMrAnTH3S4Ed33lb00+yriImrXLGBp21LYXt9osWgi+niWj7KTO3f93/1bMuM+jeaaJ5G5ln6ITi3a9Q/+wT94O/fv/b2/9y67fN+JZkv2ldzf1z7tGduSX4ZW1KvrWvVDdLaRJ/wsWrrWshmRwGb40bxRcH0XVW2JqgySMo/y9p3/Rvib3W3WTL9371Ya7P9lu3Zsmwo1EyICt+f/rb/1t96OrTx4uyL/pb/0l95emTH60h9PkXf6R6a70eLyQ8u872YuxtsSteqLRoi1p7LKWxb3RMcbrX8q9Stf91hpfeegmZCuga58tIR5EeO///f//tvvW2eMT8m3Lfvxy+Zk563E8tu+7du+YNmA6K7KAu1pA61Lk9ue9Owtk62OvlnbVovI4Lgv+9KyNteUtu3DXYPWcdzfWibpVWM//dM//Yl//s//+VuVznS+9ulPf/ptHf7l09KvGXtRebJVvm1FQHXB5f/y/LUfzdrcOXKfZlqbwWkZvc0+9F1FkAy4712XufOmd5sNvK1rpDs2/VE66Bi52L32GqC/+Bf/4tvxv/k3/+abHlrFzDIgdtC3rAX98Mql5c2y9lO6tR/9vVVEPf6Uiaue6LFru3vuzdqWR3rdk05qRo6era2qTW6pfkvFx/fDLP/oH/2jdzSfHfVuTrSVzVcaurlohr1l2+z5vruPZUd97eJdfoZP0aOVf0+8fufgiX61t/qELy6OqqyVzl1z3Wz1XWqyZXzeIECfzJZu1+0uVbGs4Yd/+Iff0fx7v/d7v6CMWzbV62xGx9lXtIRNrH22F0PLytnQq6dgvVbMlX5XTqujLu8+XX9l4mZta9/oB/zV0vvaW/PfktcuubBZl0qQlt6Pv7fcYHvj/OzP/uw7mv/tv/23337/iZ/4iTf9BqfMXrKb4/Mux8LD8EurTckJvVZcff2daw/e16pPnnRY8XTti3b5/FYG3gqoVg/Wb2iGvEsO6SEZdnNoY8y/83f+zjtf9H3ti3JqKQW7iElBW1dlLYJXZ3idxEpHDegKRGuu++kLuZ9AYolS4X2a1DspdzJ73yowz7lOLaXbZzLsficcygiU2OiztYbG+cQ4NT7KmFpyiPH0uwDOu4OVHgAPNbZlsCcHvrS4dHaNsoQGByp8pT8FhHaUNxp1wyH375qp2zpHpUM3wGrJV0tMrUfDazYvaokgha9MCX0ZURtXlWfXlAp6D5nSHmXFBQotucdX6NidO+s47y+Af52yOi59lcoFa5R++3CVmWsLLqr8GzzwjFs+xEgqLdXXXXt3Iu365Cn/gf79nS4p2DFHHHzzpIzbGJ0D2NfA9//qg8r5DfJccOr4LXW7BsdzWpJmPA3cPH3qMN8gDtp7LmOgZLz6o3NdHkejzkv1uvnjBKyMe+CoNFJi1RL5y7PvA+2lb3m1JWFkuTQvnXrPe03nrSCha4GewOza0zrIgtOrd/Cb1zasbXfo6eEBUjZiNLSh13Waqvdadk6uN667hor+vPdqSWdL1Rtw6PmX1wumLm8WgOM/S2voUmBtPAm8KV8zH2xT+fnD5K998n91yJ3T6m7lft41zlGq049OLY+sU9u+eKZ+VC/TmxccXtzxYU5t5aNBjLY6uV16VTpdZ7j6pWsU61ia5z7XkoLalX3f8dJ6revCq1dgB8tyWlrcvpjLfVfKTSc1WNzr0arl8tepvbq+OrbNvTrXT05t5xHWvbLDkW/Qpbq+4N4yhLXNhSUxSjLpgepzNPfcBY44paOZTRt92Mzu8eH94nVm62x1vJ5ljp8CmHf81S2X1ytX1/kq//Z47+0tG8qO8VDlrzyvZLgBOs+yh4Elbl2mZ43u5XO462J9c2f5GZvID6An6WX2pP/7VL/p61OQc63ntKFZ9dkNPvS66qdXWKX0bVCsmKf6p8EcCbiNVSABDSrD3ZjuI90oCvB04xqDggeTRfBEU58M53VqqzBkBhFUu0b4fe06pa7/MOJUod7jr55bp6r3v0a6WcIrUJRe70lpMMBAzL0/5qLIumYJ+LgAvv2+DrbfzDEGa6RlDVhCG+sQCI95vIvQr1BdA3Kd4gsM9KXzwnm5gMSx3QftKeSd1x1bGySpk4ced+H6eN26U1naNRkGwuq9zvveV55QXgUVdYjQokCckqsR67sa3XtK1Tbv5sTakc4Bo3v5sHOw5y1aKbLY6FzXR3l2Nwhq5hywuc4N0AmIN/ADXDGy3YiKXFyD6b4FqVdf9bxX3y+I1W/y235d3r7yX+BbY3IDO5fnG0zSCqwqS1dW6NlXuxtfI8rQjpcHcubUehVBafcK1PXe7UdBtub/C5iaVa2j8qQHPKf9q1PRZ10Aex2kOhSvbEQDfXd+x4s2e9praHafRf73OjfjvIBkDaj16qAGRK2F7TphjmTXKtaZxWcqqPDn5pZzAMzSh13PSMcUxKN7ZRfNu8aYLgHWeg0+54xXF3hGg9YNVtyguACDOS0uuNl0dKqtaeVV59/cP+mTzuHT7/3/8nN5tjxz9VF1gN8u3z7Zx+t0X8Daa9Dw9q1zW4B7n1GeqCP3pHv3O3C/ebFe+8r+xVrmkSNBL7VC7I7Z/fBVafqE256c2T7/3vfS5Z7fe1YXcbTds7ZDf9GkGWpBYeO27n2tlUuaDPo2YNwGieT6blBZh6O8/BT4eqLFq/HeRMkTjV/p33vfe6w47Pbp2uwn/H6vJwutrNwxCQ1YrbpvwZVrFypTdK+KObhHAAZmQeMGDqpDi7vvGK9Nu/T6vQcbd4MRVx7u387fq/9ftSYw69TWPsDF9HB3Pe746aOPbfdjwrjJAYoZUZPWcoY1hsP/BecFMr6XeE/gxfcq4grGjTZcY1HQ9zShFXitQnsN+pOgU1gXUKNHnSyC8zTute5iWvCAMRutuwq4GRSLzWvQCgI6nhr3GnDPxJRKWW34JXJV56ZRY8pCn1oiUkX0YUal/X0C790VFK9wQhv9cs9bRSAbWWPQTcE8kyHntOKpGgzG1YYUPaeKpeOuU4sfRKQpArSqQqzDpW+tFJAVQQu8ur+NrvXcPael2w3ceM7lFf+P54wPoOxmMldubrlky4cZfcbgGoeC0ButfB8A+bD2ZDSedMTN7LR1XtDuZt0EQMxjwSI+8feCv/ar4+0z0bMGuYa4NLQ5xWR6EeZ95hjdoMCTwS19mnFp/57oemWyYBA/1XFF19Kz429wp/dsXy9vPIHVp3FVpz05PaPlMrYrlfKO1SenllzVQW3FRmWAHDtHeWKP1amtTp2ebkBJprKOLceBDr/Z6OtwFpi0BJlzrsTYeyNtVLi/dgAFJOkemV6yRWfQm8ZAJq4euVUUt9FrMpEX9JZmT3x5+eTyVHn61T1u0Ke/F/xV3q+83ExggyzXjt7+lHfvfZ4cktr8K38dw5OeBEwbxC/9eg9zow+1UVcWrg571adLuz6r83Odr6c5qtPOJt7xv2rtXzHeDQy1UvHy854/eV25fpct3efKfN0Kpbba6WLbZr2LrfzesdZGv9Ljt39XJjo3Pb946PbzlS3HExdDfjHOXh3Rqw8E5fdXlep9XRh62LiVba+d7JIelXz6Xbt6Hdkn+jzR9YnuX/IiU37n4snuPenX9zm1ldNrU2uDL96/fb76zP/lxY/UqUVwAMzAGukvwH5FCAJzhes6ppfBb1/cq397jyrse/ypT18s8L3XPCmIOug3clEHBEioI9RWsOlTpd4s3qWTiEczaS2VfjWWGugnQfC3JR+l2QWY5ZPOu/OvUHYuS7dXxqb3MeYGH67Bv0qY0rnzW8XUeb1NydQ1WAWYdeIrvDW0BYw9jk+sx6A0KdtmpgtC9r07HhfYGHudX8cBDL8DnpS+sbW8rnyBhgDILSd95dReXqjS9/0uU3hfBvaVcXs6/koPvE+RV2bv546t3wsqn4w+0NTnoM0rQP3q2e/7vXJZkKL0WJm9rLjn3uDa1bNXpz85sMZZul+dsHazg+Ux11cun4Dsky66tPuw+b666alV3++zvRC2jvNP/sk/+Xhus6zkC1/UPtxg2RqHsvqxjmdtRCt7OMitGHkKON/5cE0/TyXIQPWcVxlmr5TzDmDra11bfdss8y3BbzDvaS4u77VVN1aP3fYKR1x+6P+veOM6U33Gk62/z3/CPhdzPI3x1e9XJu/zikeqp59o9qTTbqtO8b247tKxTnVtxQXkbXXunuz7q3G+msuLFS9t73lXX7ya2z6/47rn3Kq34hrB+pbW3uCNoFKvvw75U4ADru+5T0ml0uLJ5r6yn3dOXvHM1dFPc3HPfeKnpznub0/j6T1q51p98uTUrjUAf+99M7AXL1/6PemAy1dPdurqvv/2IOv3/ndOfC8ebd+ezn8fHdGy9306//ap2OhjdWoBybs2r2snKkjrFAfjbvQAtN1IekHLzrlrmxDzRtsQ6TbGsUSpEn2fIQBQalyvIvD3OqbGv+NdzwVwoEuVm0xNHazrtBGOHqsh0m99l+Hab42UXmfa/W4w4ir2q2D1sZ/el1O075wv/bpMDnyJjpUG+nwjTOWPrussqKtifwLRMrL3fJs7ySQA+5SSeZfVLG9f3mpwoQC0YE1Gt4ala+ZkMdBIRNbmVe4neLHvAKS5eBqjZ3tWt8bfb924Bo9uLufwuC99cPmkgSvOckslr6x27JevGvFv9cJ1rqrcC5L6nOv0XEP7BAAvgLgG8n2A6uoVurEBjLuGpueSYdd5XnVQDfDVd8Z8sxy9Tmm9LO3md+ubrenXR+dWn9+xXSOE5xtR77Xlkzuvd7mF49V3rcZwjwsKgcACvOrx0rh8QGeXL++4b9vvX/EVX/H2LuZuFOU5Kl1kWIGd6t99LCPZ+cv+WmYwufYeV+/VvaVy6FldKihGR3VTDzrgSZ66WRU9YXMomdq+33cl1/vu9U99TZHXybhHAV/fA+yd35ef+v0peP7UutSk9rLPboCsz6kur+6oDJUnP6wvT4D0fedW/p9+vwGup2egYQOMjjfgKOPerFU3cLlO5hPm0m6JJaxynaHqyfaPrFauYULXNwjcILJmnDdI9D5aX1tQ+6XdoHmv7//+omWrHJ6cK1hEsIkzpXTVvdHm7pPg9VKygdVxTTyhr028ruytVRe0fTHOrPOuLu28lLbX9r5qpfG1vfjD/RvwuHb93rPZbK9E46R26aSqxCd6mGcBSnzZtbLNxF/a4bErV7U79V2qh64P8nsP9texa7fK5+6Nfvirfh1dVEx9+3xtSPvQOfTBd61OQM+bQf9InVrrrK7zUiLV+WoH3x6W9XE1HByB/XbfT9gyjyqLp6xF+2JSbgauTuf7hLLMTwm8b2OXZhRqNNBhAmKxfl8G3WcArPtdDXnLbW5GoopdA2zqpOh3AXzpWUfqZvHuuwTfMc4H7yTDF9212qY0N+Lb93VqFYzOVcf5NDfO6Ty1XO1GiEUvbV5UYHcDCddB2P9439y1jK0KDbgzd965ZY05XvGu4ILcCm/nrEEVzbpYGVvON5BaQGvTMI7nraTQn4HPnatvxtPy6h1Hg51nrU/X5Zk7x2T0zXfn6crfU8acQajzVT1zHcBX4O+C1PJYnctb/fBkjDVzo989/zpKgjB0E/66Rv22V86TZzXDV0PRvjxlpjzXXIxH5zhZ/7a/c2q907H3bsMXpf8r0G88BeFXDz+da3wAap3dOhw1mr13bUT72Wva72uI8YU5exr3pe3Ktvcu5k9+8pNfcHz833cpd1M198Uj14Z5r6Hgms1lvO+4a5Wqe9tHsl3QYslMq1zqAN73KO9jJ+PuXuxdv5xaGdk6Q2zaXVrTQAnbeZdF9D74+lbUPDU6ePSDXWxi1YAHWbq6qbrHsYLEiykKost3DcyWT688XX7qXHpmz7lgt7zm2m72V57o5kx95+fdMAovXsfe8WagyMvOETAubS8WqazVITHWZh8du3roVvVUd9T5Kw9dO9hx9f8GNCr/9FHbBe+3uoF8dU1tbdLuZ3OhbroGf5Dfp0DHaDsZLE6/jm11nmvgt+K/ztG1mR3rDSz0OsduUuvJ6Xr6fgMUPVb+qXz0e6+vf1Aa3H434XRtiA3m2uDD2c4tNyk2rO4plq9jpz1VQ5ROaPgUWHvS822Xb42t9Ctd6j+QtWK7e79iJvrAWDum+7ey2sBX5eWJ7z4yp7YLyE1Qsy71rimRMtldUwGIGxCFf5XINRTvAx73mVfJu+7pe/+vYqoBKdNUAT8Z3guIGqm5JSYdc5VkFbn7NmJzx1zHhjMikg70MF41au2DuepmC1VUaFIj9gTm2+c1SrzCa8xP5bu9r/FdY1ceqJGqAFJUnA/fL1893Vf/7g5/xgEIFvQJBBiTkr87r/52G/pGqSkH9CAr+tDAAfrWaOKHXnf7b/OZAdFlfgZUZxRthiVLBFxOoZNTx+rU9lU7dbj0kcF4HyC5c1LZeAKu1yA+GciCy/L5k265OuDyc+9VOX8CqAVCBZkFA3csV5+VD3teM4ZPH/eoDD3xenWTVyMxxIIWT63yWpo9nfcKzD/R7NWc6G/n84Kop+vuHD7xxnUYbt87vgsGrj25gb+9FuneryCwS0yeQFqvra1UEu46FS51Wi/Yubbz0v0GIOrY0k8CXXVqq/v6Win6rY2Tc8HyddT2v0w0x+Q6ZDeC/+QsrcErd6lUZVIptD73Xux2gXXti76XP7U7B69szxPGuJjiSaarK6qXmjW6peK9trhgH68l6WY55l0w5TqwF7eYZ3ah8tfv7X9t6p1jgXdy8mQP6rzJtDnG/laP335cfV/dcfXx5d/rPBnnDSbUPpuHOpN1WJ+WhVRPPOnau2ni/dw5gpnqgJTHr069+ro21P/VyR/WXtmLL6Z1zl59GnS8uOPalctXF5fTud1UtDSxT8FoueUX1SU34HXHWPqa/1c8Za7av1f31a6cXVt85/xJDsnRDR5fHNSqDvfyzOowz1srf8q2PznDX0z7H979GFHriFSRcJgIZcstuvMapVtDfcsjGZ/LeCUCpmXcGjG4TtAFo9eIXkIzeJd5/FZHpI5Ey8AaabBTa5V9FfFVMMZjvMZyDWf7IjJusw59ADwwlVfD3P6u7fv6uLJDAlbloA9d49Fy8tL0yUBxkswHYTGWpyCB6/suwxs5emPoDxzWu7kWPmIcXC+L0DWMBTOMY7eKv3O/c218wgDrK8fUO2HxdF+x4n1zBVZARTf7cq8aZjQu+HDuPt3Qbb8paaKcZHzn0G4TivHMFPLA+Pqwfu887w2zfb177jv6UOxr451mgTzP868CLmDpb9ewvA/QlQ+06xi4Z/m0wbNrJICp3q/Pco+bNeyzXPfEywV6HVdLvwoUXjk47ksH15m+fdY4VBzaOrF2ou4Otk9ArgbPbwX/r+amIO595925q7NeB+zSqfOJvpfGjtdONGDo2tqQe58e6zn6MTnYutqOu/1smVv18QXAl99ci9Z9pVWd2urVC35qt6snm1Eo3zZYan3sgmHN6tF5ux87Z7x3vool8CuHmC6ZLlrWt7rqlkyjnTG8cmqNq7y+VnuJtt7BjJYy5Bz0VqsZw6sM5J272q3LP5f3a2ta+dSMz7VdDVxzZAUhjLU2lp5Hy9Ghz2Nbds74efMy+3Cr3a7D1FeVNEPYsV581uU2PYeurNPnmdc5qV70XHaqOvXJabiyUdtbnVDZaD96D9eh/107j9dhlt6fLq/ckHG8c8ewtt3qJ5fVD61s6rMq8/RI7WX1Epmunu3xG0h90sul2+X1KytP7cpV9WV1VOWlFVSWTumDPpcWT1UfPe+p/Nizl1lftnb03+aAa10qhV5szFNw4hWv9dgtsX+yobddJ7TH1mpn/LZjTbg86aWngB3a6xf9BAeuXb41rt3PDt899xVPfCRO7TpKGCegU4DKJWoEgOFuWd1dXZ82ouGMrAHAFZg6gfrzBEqqYLwbD4EvUSu0r5RSWwXIxj0+FJjXMpioCvjK+fbbf/pP/+nds9Ywj/ewrYxBo+CMEyPVIfTMOScFGNZgASK+9z67N6PW0l0l03creHQuQ3YjoSoVvOJZXcvFYeBwMbgi8+arjrF3weKngvAd81qMvpxdKQ7wXtDJub9gH93N4e7RdaVKgxwb3Qfw3E9TItzI/+4/44MGG6/39eHztdGJowzI1AkhK+jSdW/6pRS6429TIrjz59TK1OJna96M6Td+4zfere3Zc5TjeA+b15Hsf3S0+ypwYc1KFZsS9oLCa2RrDBmGRp+vwm5gpIb8SaHqa3mc/NdBq5PQ/lzH8QKt8oNz7vrpjr2y0d87VvPacaJH+/TKqQXs/RVlJjN7N61jdw5ukK3y390dn4Jx1d/aU/XJnRvPLz/Wien9r94uDZ5K+0u/6/ySJ/Tv66l6TpvxKOm+jT4wltKv+rlzb/d4/bzPNP6+K9E5vU9tsrV73t8qE1cwSAeby24IBaw3wL3rvau386iPdz02Ol5wCgOsT545fTY9VX68wa4bpFzjlN7A0/T2Pr/zO7/zTk8JOgKja11mUce42TQ6GZCtHisv34Br+3Pnq3a0wUu4p0Fp+KNrl/dh861xhgOegOm1zw1gjf7W3G8TtGGZ+/q8ttk4tp3N2HfB9j2PfTLuLnUpn3CqN57ye+ekMmXZC3vpGU0aPMlt/y8Iv+1mu+mf61iZCzJtfhrULz6tLHDC2O6+k7381PapT33qbV5+93d/9+2vd72Xx9YfPEr+dx+vVXHv6xyuXy0/R3/82Cxe+37tbduTzn9lr6uTPWef8kxpXD5ioxpMq66o/1AH9wZY9tt1at1vsrFgz3jUe5Vh0gXn6AZLTfRF/25ApmNuUIH96rPbly95qCxrcPIGus311VXVz3genbrMpXRUuVjexuvGiZfZmSaNjKsVJneMH6lT2wgppeel680UMTQUGWXWzE1fGVIhFsnAJI0m1cltJOsp4tZWh8pEPU1qr6/B6CTfCCel1dcTWJu41vdUUdKUU6OdhGVKaO+EbLtAG+DFTDMSnNo9+5Ycc26AkIKRXb/ndl3m/m9UqQBIq/D1FT4crIKhOqVdvzPhr/KwLmzfCYYxVBgb9RVcYMDwg3vIJiuJ1feChsszruUMN1Ln+mYsdv2CFANb+79BGKXINVr7bJ7QYefsev0dGGg5UMvivGNSBhdPVCb3F3BhqPRHdqGgwjjW/+5IWn6v4fYbhe/Zc4JqtJ/KoCqTBZ4FejXWnXegmjy0KuOCQgbuOh2vnNr2s/zwFMH0qYNbQH6vKbjtefhMnwpwC8CuwdPHOi79lB639Tg+6tivfnoFKqrrr6w3e2XO0L877fb1b9dxv7xiTDeYB3TfcTd42XIo+roVFwVRDSzUyBb0yOLpZwOxddjJcGl+gUJ5tc7LkzMKJDhfIO+C9P5fOniuYxdk9F2Wla2CU/Nc0PgkYx17Zaq83Dlu/8ynvhUErrG1bNzVHU9gv04qILxrt4nXHIA5tYBjga371nGCRRrcqNx048zaTzjGe77R6AnDlO98yFYDIHimJeHsu12n/Vb739fnGDfbXWzRQI9n7Rn6oZrjSd88ZRU3/l1TvnxyYjji5tJmh9X3Agno3CoDgQdO73iIbLwKJlydXTlse9IbWucHPjY/6Ms5b9Dklmibl2Z2yQId+kTzvZt2uGXBZ4FmtGhipMmL6sVW3HFMPbfzWvzduWzw/s7x7W/5vK2O0rWJ1TXGUkyp6qDVCgLmDWbyWSpXTcjUHly+e1qOs+M27Oy7lAVj4CHy75ob5LvLIy7urH3r9eWHLz1Lcp5wQq9H88p750LDGzD/DUKiYf2yBt2Nz1wUM1z93X7jlY/Fqe2alpZIdZfYLuhvGRph5rEXOBN2SpkimvIjeBQThVVj202KLhhAEITnLF1lRanXqTVJ7leAhAbGJUO18XNqRYc4hPtwwqZ4FknrplDKep4i++0bJuDgisCKZHMqlLyal36ct7aokr7tOOETmCBgdspDL1E6jKyffVEy55lDJPO4z5wojM8R0yeRGxkBQtl1Y4SySr9OcnmFohpPdVOWZug1QKkG84LubtCyfi3aP8fUvAOKSileAWd8qf8cb4DpBopqOMrDjZRxUu08aoxoUTnGD94fqS99Ts9vpndjW58p7kYw1wdG+64p0d/2v2DEOGtMen6d6wLke34dlz63QaI7r+3nvU/1Alq7VzeHqNN0r6M3nNdAXb9ffu4Oos1Odt67xrpG4II17QZ66tROF00vXKfKWMhmq2zajxplATOOGN5tibNnFKheA96+dC4vgPJMrQaUbDQSrG8FUNdJqwz1/a701JqAETvxCvzU0aObmmGoDbv0b1BJv+qAFrijnetrb9kh45N5pO9bjtjAyw1euFd5vWCpwMaz/I5elzfLo0+Z8fWRHREcJyOXbuV14wDIprsH/ufUrjLq8mzl0D2vs1SwO75gSwWM+h2NAeCrx55krDikfNwNu9ih4QA7Ynutkh22e77/e3+4aNfd5EEDEJxhdn2Ok83knoDnBbZ1MPFWdaP/zRH6V17hHzjFnHG+usQHzYepuia1mLF0uEG86hitc4Ovq9tvsgPt1yQfhhUEN+iKG9B1X88zvlZKXT7/E3/iT7zNx3WGOFqV08ogPKOSSKb7Sa7ob8+/TuBTwOo6S1fHttXBqs6oTW0glV/hu/L5HZNcWiM/eLJyUafM9+q16twuxyldRicbLAr07D6CcK7fb3Xyyl/0CtvSDTiLsSUUWqFQWn3pqdgiP8UMxVq1g+ZJH31v1SCM735NPBlHbXgDAipcYconDF674v+PxandoCgNyk42y0BF1xAckxJuAyeYO0+GjoNocoAHQtFoMubYZ5nNOYONPhGsGvwK0RWmgl0RiSqARqiNgQCt/3PQGMMZSY6Rki4CZ2zLxm1XzN/+7d/+xK/92q+9GdVtKDKFtI9G0ACYTvb+lxWl8DCM7CzHiPOypoxtfdizvv/7v/+Npose/uzP/uy7gMGOfdmXfdm7ktQ5PRU4BmjPkTncM/7dv/t375ToxgUgTNh/67d+660Po8uv/MqvvDO6e84FVIxPI1HN/jFq+KNlHDU6m5t9dv7WZ33DN3zDG780elmhcS/Pf9qRe/SQnaX0ARaRud2T0+u7cWgUlPEwMl1z3Wja5qzZ//bJ99EUX268nrP77nh5WjR546j8DBDdTRHIhr8b/65XkqY0ef//5m/+5ltfReU5LoImt9W58SzjoZBbEllA8+SAXCf4OrH32M2olBdazlnHTZYe3/e1JYJcaFz6dd7rrFa27uvTzLnAQqPk+lbDRSZqFK5hEMkX/BLEGgCcfKjgAEbJ5cYwXSCzr1qnvOjZdSLwufNUJex5BQbT5y17Zvwt0TCOWw5VcDDe9D8ntiX25sucCc7Wqe28GAtQ3nXHo9X0Gdm8TmYrEirPZLJZT7yIt12jTzeyjicb4a/Ted8FW9BDzylBn0P2Cuw3aGwuZfyaia9jWgdBv5uZKKhm42rbfEdPATVYQQB5umrn4NeuCa5+2Rin/5adHX/s7/Sj8Y0vjNOyqs6VfhVkFtCzwZYQyRDtubOzeP0ut8ATnfPqixu0qmO7fv7H//gf35VRb1xwmDW05ZWb/agskbMGae7rGsnM6L5nbxx77jKEl+aWAalYwpOy2d6DXeANJ21Oy4P7v7t7tzUgYBkcsE9et64dD9BV+KSJitqEOtt4lexVr5a+5K1Bb5+dM7rJoHfn7Rs4aRCLXYYnvTu8G7JpO7ZXiY3fOFP4DT/VwSyGbAIBP8usle8aCBVgIOcc4eoQdCqvV77pttKz9t+94Ve2k+0ZLY1tY55Md4zjU6Xk5rFv6Nin9vry1tVn16mt3tvcjP77f3aB/el6dvbUPOsDPcTWqdzcPaub18zrU/D7S1Ndgi/xI/5qsHP/10aOXjsueFh9UmxlDK1I5CD33fbmuMGn7vh/sexNPNILH4tTO2Ek+BTd/tocpgBugxCxF9lrdnZK6mldn7W4zUi4X52MZoHGPHvB/Zhgz5vxAMIabbjRtxrtKoeCAEoNY3RtxISJ82Dtyvo/JY/J9l2/CpiBqCmfnTNBpKwa0ULvKl703Gd0XH+apVU6CwgD5jXM+//Lv/zL3xzp7/zO73w7br3KnFIA1OZBLWvCeDLpsi6UDVpsrPveSFsjkjPw3q86RdByHAzueXiAsqoTQHl2sxTBll1zjeAcrp0zenvFQxVVgZax7/42RSm9BQ6MGY/qb8czx93YNw7g+mY29hzHBJHwCmUBQOGnOmsbuznmTDfCViCDn7qBGScVnRs5bQZ85caN4BvX2ni6JXv4l0x5vta1Qvp+I5zti3lyvPevQSxdb8S9AKZr4YCI9qVZ8Cr/Oq4tNSOL11DiETqg8tAMUD9deiHb2QqCAo4bMe+Yb2S8oJ1x3LxzaM1rQYtA3oJV4/kC5AYFS4euuyztd98FAGW3GPvdd44t2nilUI1dxyKogBYqD7RWsYwv2Zoud7DODH81yNRg22RDwNKyB/fadQMh1zDXINM1TwEHY+yzn/hWu86mDxvZAGwBZAN/m0uAguz7Tf+bDUNjvN1n3P62z3Wmu/ZRIBgYqpPQT210na195zCtrf/NNmgCE7Nn/+E//Id3AZnpSoCrwSu69QZIa0PpQ61lp2yXdYt1xG+5YYM3pVmd0JtJImP20bCnQ8Fzg0vVCXWgzUcBZ4NpXR8vAUGOVAHNkR694MDLn2y8gCu6TK7rFNWu0pN1xJ4czgYVzIG+kyP8DV+tn5yzBrLIkQbDOibAWzxlXA30+Kig63pw9Nvf9UMQmPw8yT3exku7bnrGvdsWWN6z4D+JodIR3YyBzoEBZZobTOz+CzAT3bhn1cFpUqI2hq5Dw376+00yOL/vT4a9VKOhv0A+m752eb1BQs/qGvOLCxowv0HvjsU8jd7DRnvuaDwbB6+zheSwupa8Oy44Nr4dduwa1PJH6f7fUlkhA3oD3uYXvckdO7j+0qHl3+oUWB498BF6qbhtQqq2DaZp3+nFyju6fmxOLXC/wSnjbGfWWiJQQ2ryMVl3uKIEGk3o/RAF6GF86yCPOMAR8NF1L2Xk3q+OuEaR1ekV0QJWOZQUV9/zuWPN7nW95xXy9XmMy5G4G/lUCfjLQNqBEoARpa6SahZHVNK52+xhEcw5lPt/tGMgAfbd39xQGhSA/gISVZzNPhQcMAyjzcZNeKYEKIvei2G5Eb8L8mrA1ieBjR2XISXQovOjH0exDU8CqgzA5reRQ4LWqNnNxCjNX5sTjxau2XcBAPPb4M+e7f3GG1PfCdy5bskMXvV7lUKVaMFKdwTdc4BzvFanxHW7f6sHBCAoPMrXeXWOyJ42fUIhVh6bmb9RzUZOWwXSZ9yqjfLLU7CM01iHsWV7ZMHGKy1f8p3xck15l/NlrpthLCAD3Aswga464JcmDQLeQFr1n/6YO4AWOOVkVodb6jC9Nx0hct751YxNUIguqGPAqZpc7ZkcKH1rRpRTAtDWoe196aiW/dPJwPgNPJhP+lE2zodu7B4R5U82iyMtwGY+Ctp6fXnV/DTL8WFOrWv0o0DpySHTH78LcqEVgPHKqa1Nbilsx1fZah9vpL73uwFkfb321xy7BzlpoNa4Lr3IyeZ/8yQrOz2nP5XZW1WgHzI+N6hSvqczbqbK3CiFJTfocwMdT079dWrrBD5lzdGn/VwfupFilxg1MwtnVV9MT3u/7+5Dvr3CpA0ILv6qrMKBtYkcFdfBAeUjMtm5wa9rLVGuIyIoyZlT6XdBdYNMdZw5SQ10ond1Cszkb4Ogt9y1eJRNr9yvsavkk2N59fmaDUj3nPEZHq6eIy/+1ukTdFCFVKcDb3Bi9WUYCt7umz3w3tWZpXFtIB6rD9E59qoptKTTZfHRX5VO9xzg0OLb+iXFItexvbqkGKat+qBL9cgk7ID/rl433iYF11/LCtiULhMpf9MlfyiBkdrLVwENWBdf7vvwsQCjgHAD+3i+lYR0Cr9Mv7pnR7PI+KN6vE5wZfopyPGRObUiogMhABBnSRQHcQ0coNrvFLjyE0pZfTcHQO02YXS/grwCIzsNc7R3Xyn7Rfx7HeFqGaDnEDbAtA5awRInVtRfan5lQJQ0kHcVMOZsBmZOxMp31t+ndViu5aAsS7KIHCOzLPXGPSVWx14UlaGo4K/vy8jIjK9hcApE6ar59dk564PdIqfUCIh5Mjey1JjYfIuUYvjRwDiVMlCiU1oFT41YO3f3VgrbUgzf8dOOjU6750qht/X6HOqtRdFGsz1r46fkW8YznlpAgADunN2TUW6p1e6Nz5RcyfBwuO2MR8FxFtaH0Xn0FYBolLQKW5bzliAOtJHXvj+2RhrP75yN7Zu/+ZvfeGrjWlZjJfKAoKwr2hegWtO131Qf7Pnrt6y4AM6N0O65+53hp/DoDLQ279bKVPk3qu63GuWrYKtYGwQzR5xIssMgcQRk5+koBqxgv8YRkNOa/WJ83AsIq1PfTEozEAW8BRDO726ZXe/e9XZk3FIOa4LozvV9Edzxw/gJsO06wRr80fPukMu41j4o47bjOWMs20Cn0SmcW2CsQN09b3mszC2HvECjgRu0LO9onOsGHwE82U2VOztGz5t7rdH5zmsDNP3/yaHt/zX86NrzOAWANJ7wfLZrfQfgGgDe/dgrOrZO1S3dvEGUApiW1rtfM036z/6WRypLu2cBdIFhg3dtANpKjq0bXZXS7C55b6CdHiufcIrq/HLAYB3yAuDRL2RvOnG2TmXMncfqi1t67NM564778FP3OGkgsn3Uv64Nr2N7qzj0Sbnwqrw2jmW8Zx8EfNs2VgEf/bDLP+zTuevOzKVBN68ii3BVAwc3k11Zwt82RBz92CM7v0vSNDjKweKg0Bf62cotpbAbN4yId/StmU84uA6jOaH36zwb0/qr3zdruOcJOk537hmbszrUHOI1lWbsT0t6ryyhCX3MFi0pMpthPxhLibqOHW81SIrOsHcdcDzvuev7xqSU2xx2PTldrxwZrixWgkfhBs98oqPnNgt9g+PVc2w2PIVeAsLdN6j6qnqtwd/9b43uxkRnbO4tn8NLrfr6v8Xe1x5Wt7ZCSQWi796gwg9gR9eegph4qVl8Y6Jb6UQ0RBe/+V7cjkY3KPKROrUMDSYAOjFbo+z+NuPJqIrcM4w9T4SjJRA3Gl/nBuEwEkD9Nris5bAeoSDAPeowKp/tAv/uWDfH9b6TlMBZoC6K0ndaYfpmIYHQ9WtOlUxOmQYQHh0GKvf8n/u5n/vEN37jN74J7BRMDT9Hg4BMwa3fFKyymI1pAHV92treZnh2fB878jKCyneA2fUF3ee8yV43O95s0eZg9zU3MnMFu6PryoO/93u/901wR4/Pfe5z785jsG/kxj2UZK1vnounmgFB863rVTKubY3z+jfAs3N27ZSordqnxFcOQulx8AV4CvwKwkVx1zaXsnjXYamBnwK7r80paLwZELzV0uz1lcxeviIPndftBLr/q2BtUb9AgA2EyCbZ+pZv+ZYvyIigwwIHDMrA0Bz0u4ZWQEp2HE+jT9dcyEQzCDX+Vbp1yvBxs6B3bWSdfsDCvHFmaww4RzVK6FmHuU5nMy8An/lotu2WQTdje42p+5Un9AOt/MY4rbXMfffevE6n4LHSfTSY7Fpvs0BFAwHtu7EBTLI7DfYAaZ5NZ5gbusq6Ho6z/hh3nalmd/BOM8g36+dczyxdyRxDDUQWsO0zHUXfK92yr4Dfb6DlOqk3Q9TMVDOa9z7ssYw4ncF+NRPNntIB7FMzKs0aaTfzSy67TrrzUIBnXPi2oP0CF2Nzf3oAvW5WSxaR43iD1BcECcLtd+X14+HpIvzeDQl3Tkvv0K+l3eSKzuFwdKw3Kw3YN/DVCovS436KmeoA4uVmf/F+Myst9XWdgNZ1atmP8sDNYtrHZN/n2F6bDM9Mb6jyG90XpK0TpX8F0Ohdx746tM7/tX91cp1LPjmG+mP+2JIbdKyNQU87S7fUuDhwv9UZ1RpkJ0u1I/rRdyIr097fVvLsd/qxbViEfaWLledW77Ev9F+TOZyebrhUnbTjtRH7f/pxtmOf8YV3tpL3ZvAaxG0mtLoFjoOxx+vWjluXbEwt66WTmqxq1UEDknjXXDdRgnbuVQf4tqvTK7/0YfnoBk5qE5vEW7M8xDLGfUZXQRl7OrBf/3s2KGzwsrijVWfWx8M49Iq+yRIXZ+gbLFHcabkS3t01go+uaQBXAB82qf5pkPwpO/6ROLUFbC1TonAMsoqlGQuRF1E2QJHyk5lohLSGrE5JW0GL/pTBXV8jSUFXoOoUtay4mZlFeh2r4WhkiwN3wWmjip6p/8D0VYSU8J5nY4uWiNr8ovQyZlEsTm3B5u6rTGNOJOA5p9ROuDbLGJMRFtGWgb7dZ8fWl2V4ZKm9g3WKRrbXHJT2zcSZHwrkq7/6q98c5T1jThGAJmNTx6WM7yNYgob4ps6cbJJItybzunEIFFh/B7yUZ/DNPt1ITSS3ETNGguFglGuw8TqgTwEVXOKzZiI9o4EbAPAC5PJgHVPjnyO880XuyLYoLTqIOu5/m1gIeOAhm3Tt2SL6tyqBEmwWpK90uMCfg/Qk89U/5I9h87+Sebzd7CY9tFZHtGD0gqvynj4/ZRCa9ZGddN9mZVteVCPBUAA2dUg6t5UzPMcwaYAt514GoCVwaw2GCSyJyBccGScdhL+NCR/2fHPbCgt8b84LxlxPxgtKagTdGw2eeP/aqs7drYS4H5FnSwOAImDQWq9mLp/4pB9yhIbksr+1v5UVjixd5XszfOO5BsIEsboByeWjJ71dedAf8+l8/HYb+r4ad4FXqzSqn+s017be+Wwje/hc5Uh5vcH3VmQ0K9fy0ZaR0uN17FsN0rEbX53h0qXnXoeSHmFvGsRznmfU8XNu6YGG8MoN/jUw54PGZM67OWWM71wLuAjm0l90dvceYIvRubutKodtYK6yT04bUL96sRkw8ycL3Io6NLz81BLNrpdtFZzlWXSheTDP1Xmep1XPaXXYW4mjsuDK2LDbdNLOp99vMKKBJmNrUJV+KL5pRpF+v4GuOqWy6KV5x6NPnUfPazWCKhqVkcMSkmjo6pmlt8+O4+M6j5XTO9+VO8cafHoK3jinNCpNr86rHr2VGA144W2+SJMN+EyA4fpKfzj2k7zVV6qea/YWH5Yn11rBirZslLk1796mAgM0GfpEW/0snToPTzr9I3FqGROGoB1rBPwJAMreKMFQ4jBlOMXI0ZojQXl2TUYXpBPGpwhiJ+1Gpz27QmtcnDBrvObw+duF/4s6dpe4C6Ddt4wlJd8JkgGq0JfJNSWfc2i3M/HG89f/+l9/l6EFXPQJgwNXnNR9X6OEdy2H5Ud/9EffSrHWr2UuN2YgiWBiXKWJXsC+/1euajOMfb77u7/7zZldifT6rOQDjQhIdz8T/d552514mdplSafEfvInf/KtT8rMGy1qSUiBZh1Hpao7R6mR7DNDXAdr9J9D/U3f9E2f+LEf+7G3ceBTjtf6xRBfRTnHQBnMfsezjciPJs0CdB2TLNFkYZHXZX8AFY1j03vjG2MWFSs/NtNLie03u97u2Gj95/7cn3vrx77v+cvQjv5f93Vf9za3KjPsUokXxxPLZO9eO2/XKp0h9+Oxu7MyJ015EUNVwFfw2TWTLa8h05Rl6V+gyQjig4IHgSRz1WxV9dtaHdg6ja4FALpvQANu+Blvu7ZZ7GaVW9po7Wv7d52FGtsL+Ok8fDFZtlyDXl0f6cT130Yrkw+bsa0JYIwfyIdr6tyiE0cFiFYmVseV3ikAIfOcSK1ATXbVPgeCKVcHF7QVpKEN0MnYVs7pLA55gYWddcf7a53LCxoLiNgsfWrVj36033THzRwpi2/JfCtHWsLYDWCenNnbLm/dgHL5v85uMUEDfMUJzW4ZFzr32dX3LUUtoCxvsDc2hrJbNZuDruNdwQAbJFqP3QBCW221PhTEN5gKoBZECmbdRMFaA1bFMGx4Zau6CK3ZATzB8cBnpaO+0S1+wx8tl67TvnNsZNPN2Yy9zl6Dt/pdHVFgLcCOPmzg5qybT+JBwbDpr74nlO54cqDQAB8J+jS4WAfEhqbrZ5eedSMdjmR5keNQx8MbMWo3YCgOiKBTkznF4KPP3Q9kdOJQsG8N0jVbzCaSAYFeNOoGkw3iSo6geZ1KuLF7FJAZ+v4pC4cu9JplWTCUtbISLgLC5A4/kRV8zvkVQNlftO/SOOMmDw1ICzzLJF7dUjzQY8ZGf139XQfeGBoQuUEWtg09pr93vuxzg99/OO/3FlDxXDx6M/MN0jXB0gTk1dH0lOSJpBNMa37wieA1+US768iaCzz/sTu13aymkWiROcTiELZcySDGrGPQGQ/rNHZPGboN2voHhG+0rgoW4VqK3EiyCd5zTECzI3UCOWPr3z5zKtYHjKQ/FLVJteHTvu93rxfYeV23YR0JZQbUyvTeLPTP//zPv93np3/6p98cTxsqrR+EoLsethxr2TLzATQzMozuvn/mM595czTWjzntKz9tVnLXYejdZ+NZGal5WrnujAmFZw3snsGZpjg449a5NYqpbGc0Wom1DZ2UmqAtoSOwVdpA9/rsdTIU087bbyJ9ImGcCm0GeuP7/Oc//27nurX1Y87a+jweoUSqeAAsWYE6EiKoeJZsCPZ0jdGA1/rwtV/7tW8O5Xjvs5/97JvDj4/x7+6/e5MxjuF4av3HM6UlWeQwbU4pltHwX/7Lf/lOljgz+23zSVlOviev1rgowd553SjB665G12/91m/9xI/8yI+8K2PVCoj7f4NX5FxlRNdMNgIqkk8ZtpTuvoi9EW9Gmkx3LQ1DuPP6WiK0bLafbmnmjg7Dt7IhtzSUvHLa6cU6moDm5kw5bHe5bBAKbz4ZBbqQUzkZJjtoDgjs+gUrBFw8C3Beue105XSOYKUsDPqvn+SOrNRx5aTjVc4Xx65BSXRoZr5Bi/2+Z62f65tXENGTgpR0qGUb7rN7T27QF4/sY52v17NML9vJfXKLb1qG2LnA97eCx3x3Z89ee2XDWLqrajcQdFxwqGuUN9fTL5wYGyY9ObK31REoWLqlo80Ek7vRUzDEnDbDbOOha6fKk/4nr0ozOSlk8KnfZKayR05n+4DmrpdnrwreC8I9a31xf/1Rut5lM44L6pGBZswLKNfvrjNtFpneaaAcX+MTtrbVS3TYzYwU3+mPua7DKEiNX2C4NsCZrncfOE6FAWzV4Bk624hIFkgpKppJgsjmTv/gNxsz3iwQmuivJWLsVoNbuxf+4GjbbAzvtATZHOhrM4hrggNwocw1fbTz6GHrYZtEMh5O2eVztsi6cbza9cICHGwMmyoQz1bZj6XVWOwRHkBr8oVf90HXXdNXKTm3AWGOkgoX/oFlfQJOdV5bJt3gYJcRCMzU0aPv2DH70dylGOz0TV49ObXFo3yOOtatzoD1PUMShjzcihU6RsWleVr/N0eqpvDv/z1BKLa/yxJkebuWttVxZGy0787lHNeWNdeWweDFbPvQ7bsHe9pXFNXJvdlZnyc7+JE4tYyUtUZVwCaTcfMezyryGfx992455Wy7H0WwgS1Dt2NTUDdjW/BaUNRsBcZr5E2Uo5E6TfRz/ZojtSi7TT/mFDQq17WClAKnlrAz8tYO73zrsUaDZrgZI8wE6GgrvR1Y3O9KfAfSGiGkYPdcG3IZf9d71SgQuj1/Y964CI6+7PqW8+yzMQEHGG9027go+JUzi6yp+2eUGqG/C+Y5RXvmL/7iL76b/2aMm/3vK3xk3AAAxtd8MKrWH6AbwNoIvA1gBoJd12yDjQj0e+dYZ4qu+IzDbH2h8m3GjqLFB4RXhn9GW+mNNcsyiXuO6KrfAGlAkaxQkPjEOCn2vpZq87bsvfn1ep6CGbwzYNzydnMMOK4xmH1NjL5rNwNDqRdkkzmGj86gtIEXgIWucEy/W9pDVrrpB9AO2AGkNZQ1YIwcg1H5a4Rbfxic8d7mDH+t1cHpXPU392/msK2ZzWZuGx03/7vexhPj4TqNeKcZGzagTtXkZDpqfDNeoTNFye0wLpuDDwu6d63/8fQasN9Sc/xSeSOHgIjz8DMebZaLoW2Jm7YxWxO2fj9lENdmK2QGmp0TUHsqMywYcI170P/sh4AqENT56+YoLYE0NqCPs8/+KL3lWPnU7tQ+VT5rZwUjjF3mg25jn8gnvVqgXnCq3y1DBeLRpRn79qXO7lMQp4Eez9VP9LPzv03x8CDgVV3hOQWdO05P0nl0CZ3eMcMPzvGpHinApr9apthAmmfeLBHeqYy04oBOQ+uWktbhNt8Clg0y0BFt/R3+wudwCDqgPz5uFY0ggSAuu8apFQxuxgxYrzOIp425zqYASZ1a9+Iotq/NbrXiio6gU1peTX+vr5yo4hsfG3DSHRf3FtvexkZ6rZ+5bpYYj5Az4ykea0ZWtQueutnG8igdpooLXxWLl9d80JocCerZ5Vj1VrE3PqHzjWm6Hn80ayy4tGvg+Fa69Y0u1RsNOD7R3PibLCPXlVd8sXMb5BOk6Ksw1+hOzyzdvZ1knwXjNrbZqT+cNdf8IteS6/XPu3ubWCvP0l2eXxuHtuWFYrc6v3wPCTF6ddf1dZpwRnU6fr0Jj4/UqQVquuOjCJlJ1/kx9MBEI+fdDEn2Yp1fRNwGTBvwShjtqFuh7LoLRGgWo+s+TFKdWmDHfU3KPjYLstur7CdwRolx1BG70WTrq/YsGV0lKzaNaplRy3Faq95s7bJ0o813fMd3vFuXsv8pUzvOEmzKYPcZXWWYADlKqmtTd6zMQ3CetnUH6LqmmBKRZfjlX/7ld47cjI5NCziSQADlvWt3vJHDZWoZQQJc54wSMv8CLRzvbgZAGW9eZkzmiMlcTxlQEpqsko20vJ4Dv29ubQCz40qGlSbL6uC9zc+v/uqvvgs6tHx0v+9v14h0bdP6uusJOH4EVvDcwHWNrdI5fa9SIw8iZuvnnBJKZzy+7D1guWdNYU4mJ8N1vnfMq6DI3D7jPZE4DhDASpfs2l/6pV/6/ymjOCj4sVFR47JRBH1hnsljo/CCKZr732hqywE5ARy59gUfcTxahuNeBUw1huR+NB//bPyju03KgKedS/Z6jzqBAGydjjYR9VbRFGCvAQILltn1uE6tZzL8fUWErP/kdnIyR9ZShwXJ9ple2HUqVVa6vvMEUGQm9rG+n77pPG0egJmrvxlBPF4DPPqsj+tfAXOzXJwVGSVtx7YZ3/r+NV/zNf/dq0tk3QVLlLVxnAD8G2WuM8uONMKN3mt7hg37ZG0LcNEP35QfZSvWbPK2OZ5c2nyODuqGS/pcPmpQpKCDbqlOaRmxwBP7IFssAMwZEfjl6LQKSoCwzhMefuXUPrVW1ACf6CZI1ve91iGFdTg0DXwV3O/jVWgFisbSdwB7Lp3SjGjlHg3wR4OT5rfPgnmAThU2F6CaW3JCV7gO1toxwUfygUf1qVnzNnZMVUWryMx11y3PrtYhkOUev3BkLRkS2FURYH7p3gYV6HP3pS/QTV8lHlrNZy6vs9UKj5ZmmjOYDnYU8MDDgoOcGdhl/bC0R0YXf3O+8MAT0PfM6Wp8em0FRwOWoYvH+9MPXY4AG5VHawNaEYBOaNxXfsLwT+XHeKJjqFPbdcp4vxvJycqzI3CP8lzLz+i69WHjbiByzx9WNc5rS+q43oCZ3xuQFtAkXy3d3T3tFj2d3AQPrCd4U/6FZQQb8OB8hGGJbWz6R7LDPJlG59pPrwJtwE4/p//MX4M+tVcquozv+gnd/dp92dgG+5v5bdLkyaH+WJzaAdv7PtVGkVsnTumMefb3z/7ZP/u21hLA386DM9hz0Ka0nL/S17U5tgMTK78d8NvHuq8NHrNfw31fmi5aaTOPgsCC5/1v19w5CH3nrNKs3dN6jh371Kc+9QXA7gd+4AfeykM3ASuxHLPt+Eo0lTOP+Qh0yxGbwS0I3zM4oAOFe+7asrXW/VJAxmB8m5vRzTjWNr457dYOyowwaPvedViU/54vG0tIKAsKgZJYn/RBdGzNXFU5GbMXZpuX9XvPbLmgNcMy2hNiArC2/jVQQNAILEPdV4SspHK/7XnaflcazzmgeBiIzbOxeO/g+jXeFnQYTf7aX/trn/gX/+JffOJf/+t//dZ3ymRKgdLa+CYPtsRfOSODt75MFnYeRWx844Hx0+RyO0QDvdbGru9Tms2ujxetJ9v9GEpzQX6b2fesjWtl1xTy7rV7rO0VQAzqjq1fSqg3p/u75062xsct29PIQWW0u4zj9/HyvjMce9bmcdd33gBezv4a0IfP0VNEfU0Ju9eC0RGeB0TRc4zszWwBjw1kWY+6OfJ+vwEpvN71onTX5s3SBs4Yo4DmzcSKBNPLjdqW5ozTeG88RAc1U97yLWu1ZBHHD7K068cc1lVpTMdPj28uNs7N98b6Z/7Mn3m3pGNLFqzHXp83n5tXO6qvMbqCOAxlg37NXtQhXx/1o2XH5lKWhzwr0QS6bJq2Z85u7Zr9Pt05vc5m7LrJ/PT8aOMVMap3GqTR32bH9F1gxhjwkj7vGpUsQHvLHC+4skTBRj4bq8DUfit/t1St9vDKpv61VLaBnEbud082zxp8SxGAps5dKxN8r6y1kaU63Bo+KI+s9fU/dXoasG6GeG1yOr1lV/eNY8E+S09kLJXBj//x1fZjmK6juzZm9oiDJUNsTA3O1fGU5WrAohUqMqquRbvZkS1f8dYEuqDZoTqv44WdL2Bisz88Rz+YH4GKOi6X5numck8Bf/er44e32aHpjWGfXTOeKZ3wGL2romn9V9F0g1v2dcBLvQeasGvNMKOPIH6DNs1ssVMtx+1O/mSC8zp9t/GNLtt3ZJVpKpxgHK/iq/3wQYenxvazfzAm+WglxXRXqwCmI2bXt0/KD/3QD70LSM2+osf6tf8FcGwk2VfBNPGz68dXAh9dOujThNT6pdKTjRbAoOOUltPVC0CuD7/wC7/wFijfOJYIGm6ZHKoQ2nmbh+2Vsv6uP+ObyXYdMz6EPgmAPTW6uhWbaAxDV/5GWwG98Xar7Tbm0Wf8DBOvD16FCCuocl1bAoid/SMf2Gm83mCPRAZ7W6whsCQBR8+3esn1fAd+m2y6sfIH+Gp4ehixrxglL7A4nII/YETB0o/FqbWmok6KyIOPjmGKMZzXp4zwUv5vD/8gCjpGxOycIL/NCFf5cZxGIPX2sj8iwRUmgs2AtozC3/7e0p1du/HOOOz7jMMcDArOjsEylGPkjW1KYUy8ezEMsj6E8vZBNKZRaTS36UlfLSGr2TU1V+mONgN1ox9m5Ox6x7DsYRm3Rm6tkXlCxjhpMgN1iBmNRrgcvyDcnF3aUMIciDXPndDgiykva5UoKsBvTUZlcyFjDlRehbX7LNs88ILfbGa2Z84JsLGW0nKysPO7ec9A/mjDKFgrM77e3K4PwL/s3c4t75afrR9Zk2HwGhGKZU32b88oiOY4NzNTQDpjsmvsNLh749mdTwdwmjjSlP/mYsoY/f1OKY/Oe75+tzUAte/rC6Xb6B6ekGke+JwRI8sX9Il2c2Y5rRrHg+wL7lTX0Q36sXviiZbxyJJ0GULLc7reRYSZQ4vOu3/X348nrB0TSQUMORfN5DbbUdpeILS+MaBdUuJTJ7EZDsBGdh8fAYB0pLWccwoGMFpNYf7ItuepjiHf1nW3QqOgqXpC/zr2liG2ukjQQACETnPtn/pTf+pdEHfn4t/xzY7PuR1YMu7xwfje+r9WD7XMvvPxZAdca53V7s1Rask9QM8hb2avINFeEgIjHFl2mbNnftuXm6Xtd/a9jmnlaa10YKe7VpzTTk7Y0tKo/Fi+bEVLnZBXrfsVsB8dMydZv5XLD7cMa6AFh7AAWz8B7Mn0dLj1iJwsY262q2X1pbF+oDMatZqk88LWygiun4Jn7KI9Tp5wjlf2zYlf/zgq9JK56+7+ruWQXyer5Y99t2krmcpP8A8QL0hNT7XyDV6S3fHdvMjsmndOtPvLInFolZ42i2g8gHYdSlUe+mV+2I39tjHQZTAiJ7tZxvHZdKm1rvr8FFiqDDzxfeemuLL8L5AOs+Lf6ZgF6+1rUwwsEL57j7bTc+OV3RvGEQTFi/BgA3Ptc51a4ypP6jO+btYRNhi9J58LJu7YMNvovu8LQMFoaKAqac7tEgG7Lz3ZDH37pc8wFCx5W/nQ3iXGQ2bZPhh7+mV0J1+js4Cs59GpdMT6Whs4uYbV/lCccvZbH2rf/NYMu+fhdZjP7w1ors/egMIxF2y3Ppxd6OayZK++ANm5urh+wseWqbUgWdTEB0NSphsoJ3UD9/4qA9sxinQMOIGWKZC9qFO8+9kIR7NJ0Z4zcIEBAQjEupHvKouWY9RId/2I99kZYzfFaWngGqGWZd5522wI8HXPPrcK/Uak1wBBzpLIO7r0ZceUSXdG5PSKmqAH5Qf4FwgRAKXLDVa0vKEGWda8a0haJkMwCr4qsDeLTjmW0S/Ilh3dPZU+7hpZCE7VzkcHGX5R9oIFbefOSV72RQRp/Ek5ThHtfwK8fnm5++4po73P7rG/U7x7Bqdy13fTr92DgzZZKb8C5msiXABhy6wa/bdr9uSrAQHrhqy5QT8G3mZjyjYpcUp5hqwOcdf8oJ11lcplup5q9FqfrJ9rw4ONdFOqdWbwHP0xIzWa6kNLTfGN/tM/+zQgVICKFs0SNaNWI0mmavwYFM4vvqADanTMg/dikhEAbOdvfJxaxr37DNzA3Q0OFTRcp1agDKCrHiSjF6yub+N3wNcaScZoPKJcdtcvSv/1X//175xKPL2/QP/uYdxK2dmLBjN86oTUsXJeQbNoLz1X2jWQYfnA2nS+AKLrZXMm/zsmu0yHCLICzEBIyzIvUL383+CHyglybB8KgcOWQd7yQnwGZCt559AC8RyN69S2r6XlDbYZJ6f22jZ8QbeY7zuf18FnE9mk69h2jJdny/8amda3NUHoPV8/ySV6AcF0G+yi/7VJ8A4dvzkD7CuL7XMd/GKTOgB4nT1r0Mbz8TPHqpvh2HCIzKNR+8Mm9O0T3jlP/5PZOh/mSTVTG3rL8NBRnc8CZWB9x+Ae9BBcEpDQZzwsuAdcG6P795jjAqh1aMtLxgOIt8/Av0Bc+UxGejS3FpQtZGtsrCV54N29NlW8QcUGFvubuerzy2uuqXNPpxcX7Jzx+XDKAjKCiTtXIKc0Fnxf3+1HI5BQvhYEvTxdx7H9rb3iBOE31SdrxjGeHd6ezREMnOzNp1BVZvz7DV4YPl/FjQoB+PgGgq9TSze9amxMlxEUw+5aGBkdLYdbUFQgxL4t1VewjLJ0NNwzvDrxSw6fPI3l6smOGV/TFXCM+Sczw6/lh9qABii7Nhff8Sf0X1885/anPtbHkqlVisuoEgxRgJ3D2Ngl16L4dXZK83u+53veBIFjirgj5nd913e9gYYRSjnQmpcOW0y968aYQD0AinmBX8IpItO1II3MluEn2MoV9txF7WWpdg+vKtmrZqxPWrnRGFRmaH0dkNsY/u2//bfvQDIQQcFbizmBBQSbAd3/c9rHRM3Gdk2NAAHlrRxq9F2fZfSs+VlfXVcFg7EYbqWPBRIcgn3QaG302LUiuzXAdb7KyN0hev2k0IDhPY9hrvPBqE9pcWx+8Ad/8J0AAK2EZcc4DDvHqwJkvPVPAxSVX6CFXfLsdsopsjnBzh1/j38Efz796U+/2zV2zwUsgWjZU/xvrYLxr825nALeczmdMkLrx2i3aClwO6WIx8iD30Q4gYeuLeTwy/iS4dJuz6t8ThZEGQHxnavcbs+0mZTzlKE+ObX4GC/vfkBv+V5JpbIzO0tbV27Dl/WF7O1ekyMll9Z3N6LdjXP0pUoVoHDPjVlJoLG7lyAPPsT3ZGHXcFhGUxkJGWDlRhur/gN7zVzXaDYSjo4tR2rwZvdY/+3yW2f7OvrGwFEHYgDE6eKdP8O6++2z7Ow2uhOwlHnhrM4ptCZ7NMQTu9eCSviXYQQMGWsBJ+NvtYQgoMoCoHR09eoRANRY6aP1YSWBf+Wv/JW3rMX6DZDuectmKCP/Z//sn72jkU2zgPLrqF1ef/q9gZU1+leGv5tDKZX1eQK/MnC7j8wdcNLsU7MnBUM3c9qqhDX075gEAciB+dbvZmuBSpVF7tMga53bOkSCVH7vnhkXBLFZO1/2iE5vCazn2+iOczMe3vNm08fTdintcp3ReDp6+k4Fz60U0A+65q5DRUv61kfAmr1Fd3PMSWmQgo7Yc9bv6eqW/bHReMOGbnQ/h49zSYbMjzEYz6V5s6H6e4NOgvNeUYL/BA/31x4r9ubwDvX9NlvrNxnxHWef9yw7mfu/QQvBB7Lw5GgJPsJvMvJdHmEjSEGk0QJm627mdMO3fdu3vZ0vKLYxrk+zZ13mQnehZWXCWC/NzS+9j5+bkevyFMv6xiPTlxJD7jMaLespwDMeX6nrzudMDqPs02U5ldNm9qsnyu8N7kjeqEJbf6eLLT2yqaHKEw7v+jWHVik6R2ljHM0FV4bJ5musz8PXMEQ3Q8S7eLtjuzK7363Fb0aVHMLUe/aqN0fTzfVKkXfexrk5Wr92vbebsN8qbVrlKuBgP4o9//dis+uId+5HE1U/Anp20t4xvCVgZdndnrl+77OgLz00e7qKUBUSbDS/xMaEuyd+b5CkWWN4rFUSr2zoR+LUElhgqdlMHVhHx+gj9IC47C7Fu3NWKrB1SoARwLXzRPRlwQgeww5kUq4j3BRWFUoXMXOSxiBKuhpRRCwKxQ7DXtfQzA2nYkp0k7P/CY1NdPZ8zL3xrMyhWQvgRAlVyxG90xMQXtt1OzaamnROmHGIdmMQgApNlAJYm2YujK8Z0yqeAnjOEUO8Z3TTp30vYzKonkNgmt31GgwRuWYNWw4BTAPQIlaMjei4uRZdWuMM1TG60e4rNIAC3tu9//yf//NvQJeDwcGSqZRN33dKQEYTvTgR5lz/jNlcNvNuc6Ud3z1WFt1slazsAieMmLLWPW+vajKPngG4t5wNKOKo453JRNdUylI3O91MESBkEyyg4sd//MffzpvSngG3nkVj0JQei9rPQFm/0c1C9tvmAtDRZ84GwMrZpKCBEXxNoTIafa3MjWqWV8yrTCIAhgfMofsJtNSxlU2nFwvOBFUKCCn7Ri8b3dbPZl/qqN+sK2caMDGuZosuUGUU14C3nd9ytc2t4MfeNz3DDbxybDgzDDGDzaEfONn33Uv5ErkrOK3ccmpVh1gvvH4oc1YSTc7tngpEyqDsGjulK9EjH7NtgNH0O/ns5irsmrm67ZXDWzBiHrtngvVFgndd915n7maB6Eh9utnZ6v3bn/u/cwtCgT88opIJH7Hd7A8+sgyGc+V5BWPAcWlAdwO3tVlPTq25VfHFPst8wxrr3+Z3zaZ5KsF2z/HT9Jey09rT8TzdY6M3pXqev49lDTsmmPQE2uqge35ltAEooBEtRqPpZ28Q4LR492cz5OR3fRNcAj53TFB3er/6sZseAvCX5rAf/YIv1x8BNuWKc7qL9/CZ9bUAM/ndb/ZuwCP4oVVmHIBuzDj5Vo7fdfrVpeV5wUUVKuZw18F9ghf6Lkso+ESmNzd9zd76Z6O+/W25LjtWG4yWguJtdXzrFNNr3TgJz3o9I8ywfo6uCy5yWr7zO7/znb2z3Mc9bbYpUN5lRwLP9KIEGBlvtlFw2H1GD9jNXBc3o9PGYynTnuXtKd2Ren1fxRAbrWwZflQhStfyb2o397eJNg3m3PEtS5FkG/0sh2N36En8ZN30zp89mc7xfWMi5yovipN3nuUCqrnWGpDWis0FFunn9QeulfxzD5u30WUC7V7Nwxne/HhVnN2yjcuGtfrGfnepalvxcPv/sTi1LSNsls+xTtg+zaCWMUbATbj3UQH5ojOiGy1bqCNdw0+ogF2gfq0lEDX6NfxaHeIqEQRev/ecGbT1kePLOZggcaZlMEaPCcuEh0NH0WBOdGHkAPdOcHfV43wYWyNd7StgjU4bk/lQt1+DSXHcgAFF1lIf95Ct3/kEWyudGQr3BmYLKPd7X9Fi7gmM+3FoG6luf4Eb41vrd4JtvO2vxnBwhDbfWxe4II0IPnobk4hon1fnwrNFA3f/lt9VCTH+Mn3GLTAB2FPQaNNd6GRnpxgLRBiOGzTaM5vh5qiTPXzQUlPjNkbZLuWNggultw2xyECboAX6cuqNj6OnfFF56C1X8boppWGMPH6mRIFRCrlb+te5q94on+AP8tA1K9cZZgxbFdH15vugCaDfSLdzOMBandr2z/yRV3NZB8trAJRe9V7kta082jlHa9UW3ls9YzYgLWNlB+yWzjayyzkanYBhjg95l5E0xtvfZmsBowGEAWY7F9cpanavAVFlmHRVeYw+3H2m2znoNzqPh5+cWnP3dKzZU0GPBmbYsuvU0iPua/z2ZbBUpZnZG9h7H3i4+vzyW9ftsd91ej2XXpDR1fdG6RsQJWv+bxVL1wS3b5fmrYyhz+gFfHjf4iDzMGDHKd/8DgNwYly/a+wsbUzAMVmpjmnlVvXFpesTv9S2C5o0g4Pma6pddnxYBDAtf67RX3fdbrPKk4mW6Qq4oefNYLmOXmslS6tMLKNikxoMocdmNwT7LAlYMy/sXh0+suADw0hg9C0epf/lediy5xe30BnAOl3GNjUIjX9lFsmGkk+4GR8aUyuv8HsD1eWRVi5wPIZVJRY4FPD2+GK8C3vr02iO/uN5sqNiE4aB+UdTOpo+FCguhitvN3HBJqKRoIhzfEdP73uFk+ARDrfgIlws4ERubDa1//t+cTikuA4fcNaf9OL6tiDYbNyev4pIuMtSKvgfTtIkA9mS3VN1JVsmcNVNU1U6meM1cl06c1JvlWeD/YLG7qHyks2E69hmDrslFqo2BDvI3PpFt9RfKF/f/t6A65M+/MgytQA6oboL6Ne8mH6dkbVkyAjJwA5wU4NDqWJwBqHOmsGKmCgLrkOtXKdOwc2IVelRWgRw/ef8cU42CXPGReyVLanJF63BLJTfytW6gRLHoOWbXa/SyEWzD/raaCamErlvBkoksBkQQKdRrDXCX+VO8LuGdwKpzGo7PM9p6jpLQnjvI2I6xbLSwgHfZTkIhvJcO9VytBm+ArHSiJO2a2X4+1ojfWj2DOBqxqEl3xvvlItt4geKV4L+Mz/zM+/KoevUKg/hyE2xmS8bZMieMkoNVuz5NjtTTeB3JSh2gaRUdx8RUzsLj6bLKqykZsfXn5Ul4yM0Baasvd7zbLrFgDCyjS4zlmiL3wBLMrgPA7d7rj+itqvQ0P+bqa1zpw97vsBXSwdlWgouKG7OrrW7dIs5dh4+EvEEdJo5qSFu+U6jnPpbQ0EOBHsYoq59rKzcbHrbk2PbVmcET78p9w/mw/wYg2btv+ASGSvIaPCwFQ6i82hKXhbc2z0rozbNU6bX0lmgZOVLdP2us6ZoTiO52djIFX3uOfSpgA+e3diX5ZnsetWD+ZEVKDBnx5Qvru/rC1C+pmx6dmfAhS5t4LH268Oc2mvMe4yOr8N+9QN6cgTxNEeEU1F5e3r2h/WRjNYJwBvkqUEjdrNAFQ7wufSprLn//R2dmi103wY424pR0AKN0G+NrrbMCVDdc+GflTGWbg1Ye77/PRuIbUCEY1Gn/NL+BhqqK+iFZjab7e4cjTaqUZoZYz+dj4dk12EVpfz0LZ1ap+uOoY5VS7k5e/pnfwV2nFxW76lU21yRhwao6V68UKcQjQQd4NMGAK5uLC+yV7vGrrGwhsxjExX4b/8bq//N592Yr7959lM1DowJs6qSbIOX7Zdg5/PdS5Z2/eLI2YhQYoat+OQnP/mG86ab6UhjZd8tM8LXAhP2D+HU4s+npFJ1CvqRU3stSPyo7lPlZGlKs+SzP+hXXrJuWSODsqY3GK0f+Ev/ro2mizicy+Sr1FEdUz9CAHi04fCZB5WicJ/vDdpu7PwUwREY+vfOviMNEjYbzg+z5IauEhzjhzX4ad5hWj4TXhg+VfIN1xR7rN82/iVX5fV+R1P0emVDf99OLcGqolgzoY0kriMTpA2oa/JuJJVCL+ERhRMMMDeKzVkDQKpsKRdOG2V9I9kFlMah/KALnD0bQMXUSgKMGeOKxrQskcBgKPeV4l+ZpTKNCg1Hva8v4thQMJzlRq8u2LeQ3P0wGlrIinDSOAV2uFsDoKwp9n5c60TRAHNWMa8/E9hdt77sGutVOSz6dR0AkZw6DcA2wLTvfW9jARjDAvwWKJXntAne7mGDkI3tX/2rf/Uuqrln2oXRGuYa9cpGo9TWlXrfJXp6n68IfpWBVxHIJnhlyBwSTp05W3/X789+9rPvgIR1GnUKlNv1tVjrQ41x10WQB8qGLhA9ZRwYxMrTzt9Y158944d/+Iffghnr50DGU6MwzdvGJUCl3No7UMlKg1XXyQUA6ZqCPkZNmRRj0fPw8y3ZA3YEjep4kkdOVstuu3SADkL3Opal8z1eJ0Nr8Me9GPorQ2sDLIvGt/qmWTB8fB0q815Ht1lhGdtd4321AoCCgM24iug2wCRKbo2XZxlb5568CLbUAO78gTUgSMk8o24OXFMaK1f2LL/ZeMeaPJsf1eHk5F6avy8bV0DVCHbLwfpptYdlA838CDhVN91M1IdFwS/w7Me4OkaAn8NI17QEnzPSUnE2oo55q6saTGrlTSsRms19XyNTxSsCNXix78Z0PmBWeXCfZhvogFY/cGCVQJeP75xcXuizVDJcOW9lGzBI35FPVT733Fbe0N8di+MqjK5T2+z30ziqhxokoyPuEp0dv++mdx19ijbd7G/N8hXParDVLu+cbbqmur183+yR+aTvBfXsRo+Pbqa8NGiQo4mH6tsb2NSHOlnrs92hZee09Qfe5Lgq0S5WgyfIjX7rl4z48MYCi8UDHMjisTU0VO48jEInVM46LrLEPrSapomu9VUpvflCj9rrBsVLR/RAy1b0KEH3G/6/2cP938Te5ZU9r2vEm5BjX9a/2SBLL8fn5hwmxxfKj9dkevexhArt6axmfr8klZGlmX7Aa4L9ZKzLQSyhKx3qC9i7RfbenLObDVrzSTT2/eKYPYvexTt8qY/FqUWsG9F4cmoxF5DZNQVVOGXGfuqtF/w4n5IHKAlAgY7+mRCMesHqVd51tC+YqCNfhaS/DBihr1I3ZgzmXmPuMTCFWUFiTEScSvN7Lieva84obgxynZIaYd+VGVizaD5qvAdWKXkb76BrQbh+lV5lVMCmC+kZnEZ+b/YXHRg6x5s1qMG90VL3dF1LOu3mVyO8Zre/tSrFC9ApavNEQRQQ3Xe6tURUn9dW8rw2mkwBivgDjnXmasQro8AIGuJjEUSZitKHMtQopyuLnqO8pNmYBjlkgm1aJthzW413jaWoK8cIv12doQ8dfyN+jhdUdtnBzZpcUF1dQNf5W74vAAeiRFzRsnrgyXnVT7pNn9u3titjVye3UmVNdcF1VqoPeqzPBwL0X8YMPemd6oAGkJpVo5tqiGVT6NJmiQuSG9mtrDqOriLE3o3eoFntAr6rLrnAsh/6yhjwYAHzF+M0aqW9Oa39ap+Md58GKQuYfcoL97nVp0//X8e2dq8gsc4KXUZHAU9KW5+cWvbKs0r3Aq3Sog5W6fZE8+s8lpfIKKDF8ahj3XEWi1w81HvX3vXVMaXlk1NrjMZJn1bGay/vci3j7fyjI7ksiL/yXTqiseoaurT9cP2ld+3J5ZueB1B3fmtHOa+X9g3GXZ6/GECJpWsvLqwuuX1EJ2PHJ+y0oBbdbh5qJ3svdoEMX32PJ+4ysY6Fk97W+cYbXfOMfuxvN6byjOqu8kRtf3mHnJg7GUCl1NWBDRb0mGBF7XeDLGvdEVjf6LXyoTkypsrKvRbNYBbzbw77vPoHbR2LcvuLp8wTXi625FQK6MCT3fBTlaRAZfdZEIxgK7/06Gb8jT/xW8v2O5fFrAJPAg98CdiuYyye5ic0KNhqMDih8+G7ai7HOdofi1OLGa/RL3PdyIi/3fWwyhzRqmhq6ApQ+10ZCmV7ASXivnKACtrLsCLMzfgae7NABUB75s7rWpM6tbJkBf91xHbtylpkOJppWH/mEMy5qVPhngV3hGPXyzR7luhiFdcF4gRG+WbXQmjWvkzBKNG2GRjBfALIb8z2QSRLCQRlRpERIvQj3PjBOejWeRU99Lwa3+sUlH8ZJs7q2kDvdlYuby0CtYzPvss4uN5YjFdpoD4b7+a4Ti2+k/UROWM011ZObBH/7iOjC4QxgErg9r0bUSktURpUp0aWdU7iHM1GP6/xqbEu7Sk8CtqYyIxynVVttGS/G/a4l/uRT467Zu3V/trUBN3RtSX15ta8C9CQG3RsdqmBn2ZTC8Tr4FfnFVTVmOiXMXc9m3sBG+0f+dTPBgJLsxrn68jU8dzfBhK6Jrmfto6lGZ3yyVqDAg1qdPOJjglYbuTYc3afBZCsT+x8lMa3LKk6vQZ2tLdZkh23J4vTYdVveNe93ec6t+UHMt7Nj2rQ3fd9rc5y5Wutzke/X/ms/BV0VQdfx+tVXy6Y77EbsEQj9MDLbCmaysIJJjTo0wxCdUfHCVB13b95atb+1fiurJKNAmIBcuea0/bxCez6W150X07FbKSNogQY15ppurJXh/pmVvtdNoXdqbzjZ2X9aM4+PWWkjGf9gbO6waVPHYqn1mxxZao81SCATJP7z0aSMXuNFPMUr+lj9V8dl+I1dLig/wavShP6jN3tnhDdcAyflreuA4f36bwG+OiS4pPy1Bpn9InudWDR3NzBgw1UzC4LttdePNm4zhk57XIqJfdKvPeM8uPl5fJaN6lEhwZTurykukLfijebLHvi7Rts6X4NMNRNohQ7Xqd2Df9w5O3lUX5EWzJF9iuv9M3OmY0y9vWt+5d0jDBWs9tfmiqr6oZmZTvu9rV+Q/0x/arjbOz3eY43wMMZJ0N19ItXYAb34fx+bOXHT/+/ilR2sxiG6Sr+tQrPJcRl3EY46kTUGDYiwflbu1EgoEifZR2VIzxFPvT7yUGqslXmepVsd2Pddda52E1sx61xWVPDvjVhIqyUCCevwLyvSFDyiJFFF9GX8nRPNGQA7U6IzjM6ym7RypqNRhz1h1NTms9xJ0ic0bWWYSgvopDdiyG44MS8N5L5lK0gTJx3in5rMFYSOxq7187fTnaX39GrgGclM6VfDdicRRlKa7P22bhtzmDnScaWEhudvQeOobT7HLDEsCpnua+SWMk5Q8lQmYseH/1XLbB+Lgtfw9rSdGPfb4Il+82zldgyrjvPBgjrq1LiG7wRCWx1Q/mSsVJmgyYFxxRqd4/snAlcNAqsNdJZPWSOja07jxd0eHbBVg2rewguVPHX6DYL12BTK1EavCkN6SlyYP7MO1nUZPDf59RWhmzUhSeu7mTY+togPEYe2IOWFgLQ1hx2w64afbxXnrjyecEMWjPcf/pP/+k3h3mBq+0MvvX9rSKig7pOvHRGPw6a91Rf+rVyoSDuCWTdMTQbVZtz57tzeUH4pU2f/75nt12QsueZH/zMJgk0C2Cg4f5OvxXcVlYbiO3SlZvVZxc4Wg1uAn5rtwLgjue28nuzH2sNkGn0c+ny5NCuD9YTKgHt5pPOL3a6fRVUZyfJTCsDlBE2G25fCgGEO7f6V8cLX9KzzhMkLT5pYOryaRvZb3VUaS5IVVznVTPkq0FOurWOLRuB3zofxlUcUn1MzmAC83sDIHc8goENHrMXfSXedZQr+xyg4pkGM4s5W80jaWCpjNeTaVtOYhlQdbfnCHpVPtluzyo+ri1ua7CRjsZrnJfqvVc0LW1qh5uUoPfhQDb+Otk3gEcnGUN5pj5Ekx/0mnnqJq2eX71b2dpvXsHGwSdLfZ7KCn2DKeg6Dr55sgzHBlh3rx/rpCubX3p8MveFY3p+ZQDGMi4ZdDtMj7f33Sv36KAGZmuLque6hOHuqaIfsEWXmBjDx+rUGoDOtEM32owpG02+hqJM0ihQBcs9r5N5B36jbhWkpwh3f8NwXRR/FU/T73VirkIC+lx3IzZ+46Sok7/9EqWg5O0MulZA795N0z9lDQryb3SLwm/dfPu+flnTKLvpHW+NcFZ53CZqP6Bj/cT6301cym8cPQJc43QzCOblRhfbl0YA9xnAxacagD1aLJuzflLcaAek7Ry7NuuX45QvmlmfR0ntY7e4Kpj93TXW/1l/a3MB62ULDtBC362VnUPZV0/cDcfM/a4RNGAMm5280ebyUIFqDaBz1hghr7zavZuF1Sq71xD1nqLAnnuNT/voHt2g5OqQJ8euUc6WV9bhrayhzy25w4MN9vRTfq+Rrqw249ExFCiVRtVrQNzVLc1wVX7bCmB7rmdrzdx07gRE0JN81IHZMcYaeKnzXqeqS0Mqa9Vt+lrHtvpkgLA84RUm3eTlRpXxHBo3+177VON+AWrbdVA7X09/773vXHben367z3jl9L7vOD5s9qQ75V5HlH6pDHbO6rxWppoVqI6qrbuB7xt4fkVzY8ej/cvO14ZwbCsf91mOFxzPxtl1WuaqgffKcMF529XvxlBbZ/xwC9AoW9SsuHGU1pVldL46Qia01RZX/kuP/t/PPR/NSg94ReXb1TGwyauAdfVqndr27drLC8afdGEDlvRBn+tcAYDytPvd4FaD0g2QNNha52DPrN5ckNy7lbXub3Irh0p349Z/TpWAYasBrhNXWW7/VCF5XrHytTOXT6pfWoFWfAcLc1YvVngKEHGcGvwgc02EFMujA3rX17m+i7FXfuxHg5a16c7vK+auvrSpqNd/dcfk7tdjDGSm9PrS7IxePduEX+W4Y0Qj8ykBtP8ltfpO3Gtj3Qc96tA24AKnsde+40f3l7j72J3aKlntlRODiaqwtDqZ7ldmK5Do/TDYzZr0Xu9TstexJRgtQSJIIqFr3SlQHwh0BZ2DutYyoDJg1x9wDhslepuglDxYT2hn6QJuz6bYMRplWQBNmVWht+8ARB0gTpAdc2WYZbUbEb7OQduOERARwt1349L/K5xVPI3u1pHAY/pQA9VxFpjts81ybqBl9/fe2wnxPnWu972Rc9maZnHcU3RMhLWbKJjzG/XGZ94DbGv37aKN3sZ5FQqndkB9bc9RCrPn3d13KZ3R3Tb9gI2IIeBePrnGwPgq7+UbWRZrg3fsaU3tk6Fy3zoP+t1Sr4LL8gUl2kxs5aMKvgE68vLKqb1AqXNS55veIlvXWS7PlraO48kC4Vcg7OpoPPvkRF9j/nSfynPPvaD2Zsfcg5y1L3VOjHU6jV7ob57nPPeqbm1fnc/JboWB37rj+v4OHCpHNq+cWv2/9qiOl3vXQakz96QHtZ7/ZK/u947jlXPb+/aa36+dx890RAF5y/L7KQ3KRwXD/bSqoLa59vNmImprnhySp3HVHjyNscfL5+S2MtJgmmUM06XeOw2MdoyV9Vd8UD10bVvHTefhVzhi37vb+KV1syi9T2lnvunOS/vy5vt4sJin/fe3NCSvDZbXqaRHb6Dv6lbPKT/VeSwtn/rd32CsVuH41AnjdLQfF/h7RhMJ+saOXrt0536/bXPRVsWsqQ6gAytv1Us+xuPZ5rjBA3OiD/qNLvqP3/QPPqI3X/FKHderW6rD6qS34qlBkffxpXHBJG11dBuEs7QM3Yqf+hz8LXnw5NTqP+xLJo3VGL1yakGxYhdj6HwVm5W/vyRB71f6+epjnwYu6wzbGHf9bgWhiqXyWPmI/vB2mVYA4J064PutFTx47mNxaq9TWGI+KQcT1YZpep86mDpfgPo+B+lmIi/DYd46QZ38q7QswAe81wpw5uy4R6NmQDtnoJsd1UBfh4+Ts8ylDFtpOcdmffsLf+EvvG1yspK57UZnHY0AAQDX9TqYsU6gcy9obkaJ0Ch9EqndK2Mw915kba2nXR2tl6wAPYFzfzdm7yqegkafW6LZNcnd4e3yZo1mlTeDaGwypHvOdvdbWYVX36x5t+NnPvOZd8esL356biNwa+i2JrO6//eu20a721eCK0CwEuDRe7SxhsaGXHWqRf3wGiPkPW275y//8i+/jXOvomDgW96xv3sOvlBCU7nyPMf9dgGlkrc5KdZEUVLmcWXdZKl0JE/4B1/W+WGIGXPlrPQQMETWC/YKIDs292+Z73XQzG+NeDcI82xy57dGvP1/n+96/K8vnn1B5HX4OqY7PnLcyLDWgMoFjxcg4K0aza5vKq16TsGztUBkVQn90y7EDTxUnhvk7GscapwbRFTdcZ0IfLGg1pwP0WflVfv/ZoF8b9m2CgROxI26XzrWUHfua0/f13rtK1tWvvDMa0PfZ7N7rTkkf4KwG59XHdnBne5qxVEdst7TX3NWZ08/a8ca1Oj9a28unmjD/7Ula9ULnbOdby+Qvl3g6k58h58sW+o6xjvXDWJeGauuaQDoluM96SNOlUqu2TDZ2vFpd9wXrJSV4iAah77c/UrKd/pQurcJ6ALkr4Is9F2rWIoDr/Nt3hpI7n3oYjbAuIp/4KQmBaoHrzO+v15h0te/VHZvAPPyd4F75aPZQPzOYelyl/LJnrVAXJeqreE/H/TiLLsW792Ns+rQ1c60790k0FIftELTLnUyt+/TbXSsLLN5rbNaXf/qnGsva2N7/AZHr90xN5tv+Ora3N6XwwvDqToiV2zVxmnH6icHH35hYypbdRT7ykrzgiZ/JIFYuKoJJPaqz2zgnp7vqwqVZZd/i3e81aBl/bXXAhbk86lyBP33Kd9XH3wsTi0iViET+kbcylwFXmsVdOddp6/C1GeVEapQ+wz3QxRgtc50owq9jmBRyJ3sEr1KrIbKfdy3YPCpdAFImtMiO7h1kBr6bJMiDsxe2eLFzgwfY9QtuLvLYZVZQUMjU/p7BYnTzqFtWYSPc1u6gPZPioWDat5sET7h++qv/up38y6jVzBKeKp09bd8V2WIB1pKYSfetb5eRnBjpclztnePAbg5e+59x1FerIF4FbDpcePC+3NCf/3Xf/3N+dvYN/fW3641mMLJqwOx77btB9A3zq0j3NgYnEaSlSijZ1+bUFDRucR7T7KvTKWgCW+TnZupNd8tkbkypx99Zp25BhgoQ+CndC8QrN55ivj6v8buyvPViUCEoNIdQ6PX+l6g235cEFgg59mdH33rGppusf/UOq7r/Lg3WhSwmYPSxzwyXvRBHelmChi6gvQ65OT80uGu2brgunN7nV39d999Z8T76odGkn3u2uuu7/R8vHfn+dK1/Xzf8VfX+l7npq32tfxVu3yBYO99Qf5T1pUe6CscWsnQv7fv5ZvbLnjtefpaIHWva+u8XFn0vevLBVwK6Hx/xRfAO1tD7p9of+f34pvLz6XnE6bq94JboBRANxZOE+xAl8FJ7nExXOnQ5z7xXuX4lT7VX3+vTu681/Y+VUD0OdVL1fVsT2X2OsjGc50jDsdwQHd2N5ZXlTfFXqURx6L9uU5Es5GlH9vypM/L6zfIU9rV6TCW6sQ6oq2uqD7h7Paa6qQ+B22feP3i18617+3P5fvr7LbfbU9ys8ZJxC+CZQ3I1M61VaaLv7pW232KRzsXdIjgqGBDn32D2Xij62v/yNko6upk81fbVfvUQFTtQnX+DXDRLb6/Wg9r7JXlV3apOO7JNn3kux9jVp0owLylkGWiC/yqeFyz1snrgC4zXeBxn1XA3TWInnWNBOHre2GbdWy0ywR5Xo3Q2i2Nbf/bPwbUa3SUsmqetd8XeZ1zNcdgmTy7D3OYOJENBHTMZVAMX2byaaStdFb2IQrVtcdo4x418o0ktV8i2nvO7jun1i7ZnKCCzzXZkMsbndf7Ma8FHGuiV0pz23bNnOs5l33X6gWou78xtKyy/O28GpjybOdp/VnWeFn5zfUcWWssvK+297hBIDwm+2Xtw5zMOckbU/lTn5rR3/Eay8p7HcjK3B2PzUoa7NhvG1MB15Xl8t6NClZPVLHqv2ddo9u+1/hUdq9T235do0V2r1OLTqVNwYi+a0/j7zk3OPN0j+oe/+tLAwSM2136cZ9/wVPPuXqsGYk++xqrBnPMe2Xk2onOafVKx35pXF65c1b+7P2uPQCaODfuC8ACHy0Ff+qDcdXhaSvN7nzeds+981UgQabvvS9ofWrX0ej9r6zfe3tebeWlR+f1aQ7vMzrfT/yulc97/qXZ5Y+n5xQY49vyTZ31As0nJ7A0Z1PfN9+Xtvp8efupPY3JeOqMqGAxP5xagc6CyYtvrmN1naknXVfgjbeube6c3nl7Ar5PoPre6338/ET/i5l6fZ8PR6i8unbUnF3s8dTfXrv/S0/y3Pd1th/+b0CtNG9FVbFG5fUGpq79q3N4daW+l0f06QYiyoft4/3eKoyO6fapY3yFCdrvG2y5/zvv2kXOXTcfe1UNWp4ypyrqnmzNU4DU+L3u52YmyzcXR5JhNuwPxSGkH4tDK1dPvlyDaMUi8DMb2D70lZ4yuld/tSKi9LhySa923O+zkb8vp7YRuoKRgpuW8FylVAa+nbyRtyfF9wSgMFqVbnf8tRtsJ+SC1yovURblx7Ica3b97RoTfXbPTuAV7P3OKdnfORyA3p7JQazjpNRj41ip3Nqc2h/6oR96+/+v/tW/+gVRnRtcuCD90r1A1LnWlu2ZdsJVtmsjAgu/0aHPfmOsvBRe+XVLvQp28ZF1pJ/73Ofe7eL3vu3tmx03t/pdJd2F6aLSO2dO9Maz328Zz8Y92m6Xt9F7juay6YIjaNY1TF07iifblzl6VxnhvdFx1y4zvEz8jlmDYBMdPKT/BYjGRuE3U7D+rVTpR37kRz7xN/7G33g7B09X4T0BTmPo1v13F3NAqevIZQgFL2zTPrnquuDyoWuqWFteX31irBRkN2arE/XEN1WevXezePd6/FZn60YkGyAor99xti8XLLxyIO45lYk6EXVeG2hRblg+N/fXyLzq79XnT+fevq2hqf9vEKaA6wK6RssvSO0OzLecvs+skcX3r4Kc5YWuv7o68kn3473eg86/PPLKUHeM/n/6vTpE+RfH65bYFlQ+BeXuM65N7acB3m4EI7DZyoAb/EWT8gvbUF4uD9Wu93tB5vRqX2l2+da1/U6HtC8FwwDikz6897wA7X2yWz6/517A/eSwP7XyQe3KdVZaNtrnNZtb3FKaV45877mXNu2vnVz1A5C+jmR1GbpWV1/+eaLtnZsmIxqor+6rA1JHBMhv2+9smaD4zrN5Y3ngYs3ymPHRvR37+jZ5HhaCDWTxrgN9ndoGXjrGOn0aufW9ZcLXKb/85lM8VL4yxxzVBg606n78urnw6p59+oaO0mz0sTdC5/460Gz2nUfHjHkYj/6wqRsZuIH2W3HZcShB7gZV7WNxxFpxjP+vDXCfzufVy+W1NeeU5/H3+oPG+K8Z3jVYos515cL/5fM2tGyZd4P++lz5Nj483b1oXuGT37dTS5Bbzlcw4LvBU0RPLxwWBS0AeDLg/tZhuoq0Sp1CaKSFIlUKKVv3ZOhMEkG00QLm1Je7nqOEvxPWUpUpKu80QyfZ4TKiVubGZCtH/ct/+S+/OcX/5t/8m09867d+6xcYpiqBV8C65WItIQHiRsM5QnVKKG80bbmDeX8yOvpwS3N83zVKr5cx3Tt599mzVna7Y1W4nsHJuo5tS132++/8zu+86+9ots2TrJ02B10bImO+5//gD/7g25rbXdfNoSzQb192r9GtNGhpJfmoE+LYAgkrD55Dq0TTemvrs4CSOiLkrPO+7+v/eBe/rV/7f/f3Drn9X5rWAFamKGuvpDEG9LjrLch3gZG1MuuPV31dQ4OuNh5QEn2Bwf1cZdvvN+p7DVLBX425367haPSzrympsn5yVK8s1vhcGb3OdEFw73ONW50Nmzjop2M28kCbW7p5QW372Ocb7x3LHU8dwd7/6RzZfa9/KrBwjnLJfS/I26drc1t50HYrUFri1+qaOgYtqXsKgODPAsI6Ex+WkX/ilffxUm2f+bWjODDbSDeQ1SxcncbLh+Tbp3y0ubFbNGC0ZlMRz689biC8Y7qO0OVnz6Vzq/vMl80T++qOJwD0tJzhBg/u9Re8Pc3BnZur055an9/73L/VrdUFVxaf+lSHrHIKb9TBMi/V+e7Faet9r714lcFy/1stc21Y23VkrxOEf67+qN52764dvpnQOs8t32wVhmc1mVNe3Hcb5HQ9ZQPMF5NVl3rWBfsCELOZriXr6OV5T0Eq595PHb4G/Z5koTa3/F89geZdEtZlLsbB3nv+lSf3grsFqOB1fFH82Pu1qq99vP7DU1a7zjcbyVm+2cjKyL2PecNvtwqySRV4yjzYl6FBH++0Nwcd++3TdUzXrryyQ8ZU/brm2r4yz32edGP1XPmHvWmgA4/iCXTvMxqUVjlyx/GxlR83hVxDc5nqfZ/brlK6v72vL4wuUF1jLBKjTzdi0b72e5nA/a0BbF+fBLxKANBpyWg3banxJMxVoPpUZW1Mc2zHgMskyp5ZI8oR74ZFl54V0ltGM0WtzHkO5a4BjOzk2PHeuSc4rqsBfAIShN3cbAzLogK3FHh36kOHCnfBY7OglOMV7jqJbSv13bE9f+8G627CjVBTODfCXx59Ai43cMGB44COxpQ1et9KgzU0u/OwZ+AHWVXZr5UgL1BgB+1mStyrIAf/lUbG676ur9zhfQGR7o6HJ+7OjZVTBrLGuODp9vkCxd7v8n7PudH5e97T8+pMtGxPH7phUHVk6XvHfEHuffbtj36gd+nWbNkFNi2z6npEz6kj+QScL5i8f98HVC/QrsEkp/jxaT7u/Roc2jhszHPn9fIAWu1ZKnIuOKe/BFUuQKrs14GtDXjVLkC8dH11Tn+rY9D/G/HGI/p5bW+vaZ8vL+Gn6Q8OLUfyymCB/AWCT7LZ/9v/OsT3+upQOo5jch0e7QZvrg2/drzn4af28wK5pzm88+h+TxjolZ2o83Xbk864Osc5dRA7ptKsfStfPDkIVw6exvRqjDcA+4r2957ve86lA95gW9mdOo/mrMD7OtV3Pp4cCvaWzhWAblANznka15UJ595Xm9TBhcNvEkEl2v2Uly7vXho/8f9tddBrf+hViaDiljq1l7a9r3u2SrL85r79/33t2qc7zvW570Z1/9qjJ8z89JzalsoKzFk+63iri65tfOKRJ1l6Sgxq934cZ35I3yfdeWp7wrhP/SvPN4jZua/cv0+m/f1i9Mv/Iaf2FbAoY5VpCuQaUepv9zq/Pw2sf2t0+yqGe69GFhoxrkP0RDxjohzXp5b5tv+dfECIIgUmKJQCySoG0S6MdmndCMd+927bObcb/8pl//2///fvNj4yHkx4SwAbGSngHWCZcyUCvufs2VPUy6buf1Et9OscKhlpRGuGpXRu/6r4OZr7+0u/9EvvNjcieBzbp1IL4zFWSn/nb3dTa4FX1rwMrcwFpdm+bXfpObNbTzv67rNjazK6FMD64P1pdrjDn1WIFeDRYvfh/HtH5v7uXrLW+8z5VNp0S6QEF2SlOqe7l+yyud8zf/VXf/VdJcN2RF423s6lpd+T4sQrzYgDoHSBj7VHMuKjpSqPDyvNrRO+zyuH6ALJGpVrEC79WwLX0qhrWAoI6A8GV0R5/3dDCdHXp9KnynzHfEHZpX/5Sh/06QlU2IW6Tu7dKErlzTXmldX30fEpkl/n6JVT2nkuKOZAyUCQ+Rpi88U4CjLZcRufWCKCL/W9xzZ/q+LAr830ctgKGi4Aqbxcx7bArZH9C4iuwX4CYK90Z/twy7wapLzVK5WTltUVFBWcqtyZTpmdWcBx/7f66km+CgLxy1OWRsOrDRj10zHh8dkqZaBrrzJBzinPOa80ufPw1HrdE1+Xznf+6gS8ms87j6+CeWh6gzvNgtxKoat3KqudH+c1+F+6sRENnrzibbr2OtgX2BZHFbv02idd1MC8v+Of2TZ86h3lT8mMG4Bsv4sRb/UC+k6neA49ZAfqmwjpPLh3Azf4s7vE23BRf+hJ+KbNuulhwgalyiNoUDt4dfb7Ghun3aApu6KMF24TVHgKnlwdsQYj1RmXzb1vKbj26sk5bHKlPLB+SySo7qT/LyZ5kl2tdOXUO1bevsfNYW37xeztx9Wt7nfp8V+PXmiT9OhbJNYsK6wDXjm8QcMnX60Y4FbBXcym3QDoU0DpY9v9uBPiGGFrPThH5FUJWEtfLkHe16oMNilTJl4tQMFgjqax+2zCVwe1DngBU1+Fccuud07XwZYOXcfV6AQHyOtvKiDLjHJEtCd6K7WSBduxKRDlKn1NDmPeiNda/7+G0viUYcwpnAPUnUt7XbOg5hZtuxZzfWvWsUquJaxbu2vXYX3y/VXmZfdrpobzvQ+H1jvcvAB6z2Iw2jjxK+uWsR6Q+7qv+7q3523eKrS7H2A5B67brfc9Yt05cs9VwrePdcvbyGnP2j1nHEcLhpFCb8lMdxVWEYAX1+ac7x675+c///m3IIFAwZ6/UuxlbrtbMaPVqKg56O/lh9Ju5++5u+/6u7m05o/zcDMQ6AWsysrjnV1bfrkBjScDt9ayHffHZ13n1XU/BTJVtrJBLXkqiG+ZINrcXdevEXifc9tMQAGW53lmj9FvyriNdzzpuzbenlOwIErn0XOubr4At8ZKIOFmX3p9wYv70bP4b82mbcZeuk63CZYsiLfrOEAc8vEamVx/7IVARwAv08Fzavf7zrVmft+BGvzTDT3qHOCtG9isEW9r0KeB0Wv/biCntLx8Wf1Vfiww8uzytcAlMO491ewm4MOhHb+MXvtuDAWhZGT/N8DXrERlovLj2gZiuj68r9WRNba8Am+XRy/d6NkuIQLwr1PeeWjrfN6/T7L7xMNraFSgWBpW5t2nILP3VqV1l+fUGby6sfJ4x/XUeq/K/XX4Ls3Ln1dmqrf9X32CX9u3zlvpVlmwvhr+6fIuOrnOQ2WQM9Z5qLOFD3f/LUliD6aPOEWTj91n+mfP8V7O6xDAiHVUW6p/s6t0ffuxe02ftdnhejL6pBvw3hPmLW/Wyb2ycPlF4mcYRMC8Nqv8e6+9wQIy+bTsyOstXwVS3OtmLK/OvN/Nb/WS666ehbEun+OhG+DHq+ZBMqLBiDqPl7fbP/0dfdF5TRVl7/nfkgC7bz8ofjTGyQs74Pruy3J54Dq3pQn7/+QEVzd2TK67gVa0vH7cR/6e2grD7WwN9PW2b6TuRgX7jCcl2Od07V2jXyXYmiwExrSW9akUoPdmzHd/EyP6VIEoeLiKEFPdKNkFkHXS7yY8Wp3IApeCJArN9TJjAFwFtPe6Tm1fRTGF7aMPV/H21QfA0O2n/73Da0ag26hzLHxvZp9RuOsnyiN1rvtOTE6td+3eCFizOBqhGthHq26ys9/6Uu7tVAw0dxwdP74C3GZ0vBNzytqa0wHrgUsObRVL+Qc/dq2PsVBw1rPYDIux2XXLuADuXlUkwy7LdyPblVl0ABqUXOEbvDheGADwrK5PvMGaV85Z5b/rTJ4cwqtHrt65QKZlUTW86H0BVTO7Lf+qAtdv/HoN+lN/Lwh+n3xeOt1scvVOaVnQtGaddStYbhS4TlZ10W1PIOgC5Qt08BBQxHhXl/odDax58lvf5bjMDCd5QRwVNgDAdUx3LjnU9y6XQA80v45D5ws/lzfvfN/5u+c8ORdP115evnq99qPlf3hzbX+nAyabKkW28eB0gT0FRj8VH4LHKjvWVPGUNz3fkh0gvOehnTl44tPyYfm7QE0f8foruq3VWe6GdnXYem1/fzp+sdDl7+t43jJGMnOff2Uerz0Fk823IIxzBHg8q3z2JLuXR2976uOlwaUFHmvA4uqQ9ku/GxzqHPjcMnp4BI2Vx3s9ILuP/5rUaNDEvNUxqP5f270t8ZocsH2CJcbMoXSMPe4r85yLt32/+vfKdjO2w2QX7G+8ggVXz9y5u+Nz7isbZS7uMXZ+9Hl1bR22p/m/WHmtlWmjs/0Wdl4z7+W7D/Mbnuxq/Zk7vmLszk2be9zxVH/dStWn70++yO3zE52q49c6rt6jstzMdPu/+47HS/c18nMxwatg2c3OOudpfq6feOeqlREfi1NLAG+Es4N9da2/IgX+b2Soivfez0BluqyZqKPSMlRR+mYRCFfLRzs2UZCu6+QsyawaQ41yFbvsiX52ve8V5tJE1uG2GxGpoVjjgMyRUJYiaylC02j3Vea97/7H8HtudzgGIquMvVus0SC7OpdW7u09wMvk/cZv/MYXRJs4RZfGjLoXQt8NHZ4agVROcaNjpXtB6hqQLMLr+ZufXUPBGpdgBweyTiilAXz7jLdk6xdRRss9ZxnOObdzbHdvskZZmBv92QefobHS5N1n/eLYr/3Kr/zKW7Z2RmjXrc9f/uVf/pa1pdjIFfkkU1XowKrn7T4y8Ttvhn8O+8ZK6XaDttK881GQ2zJQ53eXySelevWFVkCwRu/UoX3KhtATDYbhLfcV+aSD0E/1SLMK15l/AoQXuF1dUQe2f+mFRmUL5Ar+reHu+h/39r0BoFcAqUDl9v+CpqsrzfF0+d2gok6r+wjUkT/ZlX3feMzXZIocbowNNuFBIBgYq1OLh7sbN3Da6iM02vUNctSAP81lAd6TQ3Gv8bf6/30guEFA/Sbb6Las0nZ1n3zSa4C9bBf55eDOEaaTWgp+x1en1rnG0UBiwbyN18rT94OPa/9dV71w5anlzOXB9zlqxSEFbHcuOnb91ACyJ1BWvfLk2JKt6qfa0uq3LouBAejrJ4fwVUDw0u3y5BNYrsPVdstqO+7qkWakerxzVP1516bCHt0YcVnD/S5DuwaHCYjQLQK67NmVS2NUSTe7tu+wxY4tGOQ8wWZBYplcehY/1Rm/+LG0vjoTLffMJ6eWTqpTe/nqyWm6jtm1Ta0mKH3Io+VTl2cqC/SkuXQ/doC+ZYOqZ3ZckG34sTLRANGdu6fvlwZP1+Dp6o3Ly71XfYzy/is5erKlnbdb7ux+3aNnjU2q7fm997w6cufagNT9moHuWzoEhejWzlkd18pq6dff7jX62qRX6eO6p6DlR+rUUs4EoCUuJqTHC5IKjihezlIHe8sHGq03sTZVqrIuoHOvCUABnvJTax/0ueVWc7b2mfLasTEA5vHezzoJFBRBBbhMxM2cmDTOk7VB1ga3pIQzh667zjt00awGe83YW4ZKkXB6KqjG7tqu3xw95gAZp11VC5xWBkiRry9T+Ncgre33AamBpP0dfc3NzvXC6n3fBlijx5RXGRt9OKnXsTX2Cj5H2ou9Zd8J8ytnV8nsrtk5c/qqZIE+28FP4S5ra/MZ1wGRNvFSvgQ4jhbKpceTsrU7RlY2pv1m7m3mZQx4rvywfu5eDPnO+b7v+763Me6Zm7fdb/3f5+d+7ufenrsy666HkTEWJKqRm2LEz0oBCzR33BwxQgC0dUdajWazMn67eqL6Ap+/Msr7283Tavzct7x0o4Pm4a5Dcb4gAt20uQFOlPkAV3UCr9P3vla6XEfWbwX9zXabj7bJ9Zy/r//6r39HN9egR+mq70+BpOvQFpg2G9GdLQsUJhv4gWzuXIERAHLnTH+MvvTxeHit73Us36/sXuBvMrzxkgHVOMAWcMD4c/BkB2Y7zHeDR+WB2rnrsF7gRT7e1wosb1DTfBegcWS9B1yAs7xNvzWAxynYuaMr3SZLu//p+lYg3J2V2cM6CV0Dp3TS2FpWXABfGyUoe0ui16eCpdKozXVAP76EQ5pJwYOl/wXEBYuda/RkszhQT1UhFzvd4PUaHczpQqNWQ40WXXp1kwIXRN8gbvGV626QBK2UKMIBDZBfB0sVBBtR2jaIVrxSnHjnwzWdb3yMd7uXQAH7WvWhckv2mH6xAWeDm/QWTCL5MF5qcG39QRfj33XTGTBj56T9L+0rB+4Nz8ACs8m77/R3256xc+gpc+XZ5eP25cqMvjn/BhvRRtXXxmme2Vn4s0HyJpMEM9hL81hZuMEnSyba6tTVB7kyW1lw78rxbeiNHvU/blNpoJXu7Ekd3lZr4n8yVv/AszZGcobX0Kn6fq2BjCZ31uARb7Ggp/Atu7v5mu3d8znA+zTIbV4ca0XJE0+hnWtbMVEf7dq4J93ykb6n9un7zZw0q1HvvQqyrcb9GpMLigremn1wXYErprQD3v4yhhS3PlJw+23Ka06HCD5l26xnyygbbWjU0jjrkF0horQG1BiW0qAgqYC+97vgtY5OSxXaj0tDGbGWkDI6Azac3oEdWUGOvfJV47m1+9eIUczKeawJcnzCBAiUr9Y4Vbu/rC0hKt80QoQWHOYauVdKjUOp3+hPQYxGG/fGPwPTSBnlPLrJhMnQygztN/w2Y9wS3tJr/RBI2f0FQYDO8iR+WV93353vmYDp+mz8MsVrQBfjrZx6nznqM5Ky9tcwU1Aclso6g1ig1eje1QPXQWuwqCCyhrn8cZ2Jlq7ig0akGd7RoetqC6jpD1Fic0lmGgEtAAS+vGO4xg3NL99euhY0P+m+J51YR8B3rTTHewI7V8dWdukc7QYFzEX1OX3Q/nRt781cCBjsY+03h9QGanNIVV7sejvxGlv1vtdkffrTn363k/rWyVuWYF1cjXszBDXK/ve3AUrj6/KJztkNjuCL6qlXvFB6FhRU79fWqNIR9Lu7sK45voBh9wjwqq+uw2pWa8+4pW5krTqLnm9wpGO/GdXydkHPk63ynWPLuat9cU4b/uvaxWaQOwfl3ydZvI7sdfzoZHpjfVUtAzdczFOQf/Xb+ljdVEdwH/PjFW3dWLC8VCBdvmpwjGxf3PUqgHZBaNv6dB2QOtVdS6g/tefV09emFw8IFndzTpt1qhxjC1qijA9seOZ1fGiNb9gHG6RxauFJ5+xaNoGdNq+7555bp914WpreoDTa4if8JUh/Xx/o+l0zO9+lbK2Ie+Jj9C9/1E410EFnVqaKdfveaMFw1UrGBJuo/jCHu57OKr/ubzH6xt8MIyzPyatTfAOsV6YvtoClL15+ctTa8B5/gryUdrUv16ZW5+1cTq0+PVVbXb/pv2T/idtP9+rcksXqIJjHRrH1LfrKnz67OJCNNB7yfKtVJCarN9GLfqksfGyv9HlihBo4REJYHwQ0ue+L9lepX6N3lW2B5Zp1tmX4OrWESVSdkWEkJ1wD8RyrTrjF/42Oe3aZHgP1WJm1gJ9TK0v71Eo/jFRaNIp6Ackt77oA2PF9b7S0wI6SWuOo2QxBWU03DapSaIBDxplSJDh2JyQUywasFfwYf0u5n5wD9O61V2g4deh9ndp9l9Utb5cujLIMK77f/5wfiphAcyL3W7O21up6tpfV7zPlXeOnzKdOrfksyAHid96MBvC/+1nz03taB7v/B/ZbZrv+zKGYoZwDX7CER+qklHfMT/VAHaK2C3KfQFP1z5333qeAzfnmAOAFohheChuw9+laKrzfktgaFc+il0aHC6TJcbNDTw7NkyNfmXfPV0Cz39s3jVNo7VmN6p2/6rrq6Sufl/51tAHv6qauGW8mas7oqmV+4Rd+4d07G/fbyuQ9p2WoZFVfVIwsQLMdvzeHA1bj32Vjpm+U77tfK13YBbRtVPwGJwFF+q464zpYBeuX92+GqvS9snGdvuonS0K6W3znbW3nkOW+J9E46gA2yz8alh6VgTq1leEb3b9O7nUOK7vl9fI123EDS7VrbdcpvnR7krPL6xf3XEzCljabTFfAG9cJKSh80gUNmNXhu9kf9nY6XACXXnOf8t3VkdUTxlh6lX5XB73PqVXe27E8YcTKgO8N1JTXSn8VBPhA1UCraOAr+sWuyOZ+x+CTW3lgjDc4bFzdMLCZcnJkrBzQpz0hSnt0K60bvKQzWy599ciug8vq1OpLgyLX6bv3uza2c/4U6KDjZanNQwO7sJvsugSSihkBwjqn+wsrNbGBVvUrGkSvLFW/XHpVHqr/rmw0gPjUapvqgBZrNuFnLi5979iayKpzeANu/+8P8M1TIKIlxrUJ1zcRmIBTb7/Yl46ntL76kazD/Z5bp730klQgr577sTi1zQ403S/SdXcEVfJlEisgJuoaE+1GI0xgS8PG3IueAWccpa0TGqCxW5oysQm6EreVntlIpEprk/hbv/Vb78pDd91K2XafAXsZS46c3e1aMnIVEcYBHlqiyQBuHE9KxbjRBC0qyHd9MWdJxKUKsXPYDIosXDNx+ysbOrqPPhboM7Ibw4Dj7jXazvHZPbubqRI4W6U/rVPbDsubr9Fj9O74CCmjgG76CGgWiGq7Tp93n80vHroKsLxH+SrpABQ4InumsYjucqSbEaRMRouVCikzVxbPoI7ngPedKzP17d/+7e/O+9znPvfGJ+NtpaOCKx07521jnDHd/OjPnq9caHOljztvdNg82YCiQNP6cjvLos/6iGfREn/gwfILXmpwwTxWwVaWCmZbRq81MqhdR2+fbiAyGnWH7I3JDtR4ZedsvDbTUe7tWQWWZAgt6AP6sWCGU0Deb9DqOrV4smDyOq5Pkc0n8Nlm87DxhJ3OSz/3qLNYuWoWxTX3ejLCUJLxZmlbxlvjP178mq/5mk986lOfeuMzfInHBXCATbv37jMZ8VqLvY5r1+x+HFrg1e7xAKD7W6LRNdHmxiZoDLHdvF1TOWgVhXGVpg0MuabnlZfv/Ouze9BB5rLVAe7pGXZq734I9NbmSFk3GaUrR2N8znG+exzUXtV+dQzOrZx33BdcVpeuX+sjZwa9Kw+XX8t3cEmdn2Zsb4ChQYrrgFfe8LigokqvXT+eUcaHd0ubtuqAqzvRmb3Ge7LXmzcBZjLVe7EV+nCdWmMnY9UjsETlmhw4p43+bMb+6szqfiWWeOEu8yhwR+8lINg6NGandz8Y8Sd+4ife4aRhP3aT3Iye4+0dLz+Vj1RfLeiOfl03jleuvhDImx0xZ3uWuQfii3cK5BuIrcOzdnc/lryxxtd8otf6ZWOru3zLnNN/1Tt44fYD7mIni6P3/+i1QCR+7fN23s7ZHDaxIqhviYcP53fnCiCohONowSM3EIufngJV1zmHn9it8uRT8IZO7XE+iaoiWKDOZO9bPSBYKxkno92AGNnBb+bk//MBX9DP/AvJqOrGBuPJ7+67oI9g0e5N1jen8GGrEy89yjtkbI1+0E+YtMGbfVd10STEzfJ+pE4tsMZoAkaUQAXlRku6c22joTUideyucWqa2wY+68/AfSNqn/3sZ99A/4TA5NpkaK9M2YSM+a3HMZmM5d6Rar3nDH8dIwq9IHL36LqIG/25Ec+WjJo4DnYdf/fCGDUaBKLPWrvZ2Tqx+tJygp3T9WG3/MTxltzueqU0HKLRe0Kzvzu/a7UAFBnCa2ABy74AmtMvoloQQEiUkeNF593IV+lZY16e6rg3F+OpbdjkPo0yNaNhDQih3HGAhhKmIGyy0s3Ddu0M8X7/tV/7tXdrddaUA68fo43Ny6agxp+7XxWjMXH899k9bQSjBArwqjxRpI2u1ekgj3aKJcutZlDKy+i0BM455uiCoCfAeB3bOrV1ZJ+yD9cgy5LbSGSfZrMYH0Ed4LevPZF90a8aXDLVpQqMmDlt9qGAuc5ufzO+Rj2rR67TXmBa2hWclc/n7E2Pjo+6ydfVP096utH+gqIG3apnWkHCeKF/S91dtyBXefBJbumlHR+Pt6KG46Jk2RxvzLu3vvYVcDWcLQk0nw3YXPoAd3Qo23idq84nfVYevgCB/npyasv/m0c05NRch6k6lBNBlvX1gom1uyu9uScvZNw5dQiAdHqpOrQZ3curdabqNJFjwKetTu2l43h87yhnD9nTZgBapaRvl/+rl/SHfW32mP1SvXM3XCwOujxxnevOIzzTQP14XFB/fwU1+r74q3er+3sOejQxURzjePcNeZUdb1apyY2WXjZR4RrPb6CzupDjJgBDhyjxbqm2OZ1jtaUMs+uzgfq0+8NwDRBzOtB+53qu45YMDSPOho/eftuzVXuVfvQYW7HG7pqHBhqqS8uHAqX2eyl/COrBX83cmUP3Lm6qjtCP8ik+N293nfx0cIPfEjVwtOUNZIs9VtLtGrK4+ZyulhTZb/CIdaH7f7iIIwV7NWh5dbVxNclDx+yjdJr9p8ON8/J571/7KIjSzU1VvtXPuTqspe0y3hvj6EdPD2e31F3Q9z9/gLElKPCsvREqO/ojMOn5AoAcT0EG9BWcoNPKe4ImaHZp9ZSFvjhG/8zN1dMfS6a2wuU45gf469heRw0DNCLZ41XAT1EFBpWxEB0yESINyir1EYMxHlcpKw1Vrrlnb3Meyrg7gGHcRhdu1OsJhDQq7vpmv0vX0qlG1v2rADsXVzH6NCql3zt2d/REY9HeW0fvOk7tGyN9kDm3aYV+iEJab1hwxMjXwa0x6mY3BX/OJwAc8zo8pd1TdO6CyTbAe4q4gYpeW0GkXNCjG5lQbAViLQsSaaMwFkVWYrn7CRLs/u7jQ/nWQSQb3a0Ub+54DWjLum5GqeVbdV44wwJbG3uVYo1ggVPpX6D0JPt+q9xceepcXMV5HWJgjWMqyIBXGchGr9GDgm2mkeyo1FA6z7ER6MP/BWUFruXLRnqfnNonAHn1S49dx/6pLVgim2+MeK39uHN1ZeEpu9i+XuDgOs4UmnXcACE+K7jFt2SHvnF/9Gd8ZeE3TxuzMvs606XXDYyU9nSDgEVb1/RVlz7R/0n3XHl4ond5ibyVDj5P7TpH+t9KC3NX/dTMs6qYzt+tNrj6tnQsPmh2tDJLt5fuZLhZlDpgr4KYGjxQnqzjoO+vnMzrADY7iyfo5GZ3yuOlY59357996Dz7XOe7r5NDo5b+Vk7Xp/I8/iytO2/VtdUvT/jm6mH3IC9PFQMN7t6giDHpl36gc/f2GA2sWW6gkN3b+vHf/u3ffmfXyE2z8PT9dWrRHN/TK/Q//dKd/StjT8GCZuvZw55Xm17bcUvQ7yaX9F1fr7NnkduLFy6mrN66OrHXF2vhJdlaa5ZVyux87++lLwSELKVSWTm8Qk947SMa717eMtFXJBVzsPP6dJde1B7WNpUurUDAd2j7FDB7klPj694bzhE8aUZZaxazeK/XuL9SeMkP8/5fP5hbJerdiLbvHEdDe+OYU3qyeKx6b/cUsCATtRXXRvm+3xrcvkH46ndObROCH4tTa5ILMOrg6HiN6mWop1ZlV8Xo/BJNG0D5qq/6qreJWzZK9oWSW1R2EXqARyRpToKypRqARlpFfsYku89K1qYU5+AaG2WBWUVITarPXduqNMmk9d20FxCgwc5rWXCdvGY+9KnAoALruzFT1iJJjAnmHG3tEM1Zch/rJUTr7cimzLZKolHaZXqVijTiXIFtdLvjwhs9r6WHHFvz428DLC0h5kjLxJTPN745tQUk5pRw6k93xN1fG/CIsil7LS/g592/pUij3/huz7aDIfBUHsXr6NOyk913gR0lhAUfa11rVzmr7NXpUtbeSK/ob9e07Ziyoe74WV7eRwn4k1Nbh4zcFkz306jydSLoJzwtMsyIznh2DlpGycFyH/Jip2oyO17abrqLJu88NN3xC+TKk+1/gXQNQelVg/Jq87eC/gLUJ4df+4qv+Iq3/+2CLdPRoEd1cB0Xc0UO2186qpUo/nKG6HA6wFyQdVkIr4ioLu1GOOszoGOs+16+FDzbX6/cIvvN1BZ4NKPBWQCSVSfQmX4HBuhP9vDJINMjnX+0vfxS/igQ8BwyVwf0znmP+V6Av9Yg1FNWrbL5dH2D2PeYcTTY6ViBk99bzXQdtQYHiy0aLLw06K61nD2Z1MrclVnHKofG0ZJtZa4ymK4DHDvOPrNBlMrQU1CKrHVTt5boCjLCFQLJ7Kugm+qSp0BOwex1YG+m7sOcWvdt1Qr5ZhuarYdzHIMpa/93Dpsv22nZU9+b7Lm+b0f/0YT9F8BFo8rlxansD8fVc/bM6ZPZac5aM3Gyx+5Xp7FVBr6jcWl3g56eQS/ewNr6Mbw6Xvd+eMvA8Et3yjWfHLaO2fMdL/5vcsISPEudZlvnpO65wzHs/Wxld+gl17tmJcjrr2VZ5mb2djTefWavhsMX9K8jtt/7xo7S0XwXKxSb3wDXPa6fdOK10caChk3ojB527L+Bquruyl9tJUd03+FhQXTO7ugzWo8+o8P/FocUXoddBA72d7pKwmr3tOmpip+Li/TX/bZcbhWv9rowX12CNxr0Xcq7npMvGVV6ClLR9XdOPrZM7VNUrQZZpKsGkZDUK+8i8AovxXoN5DU0O2+TMEH5gR/4gXfrDbubrC2oCaS1thyPgkUAaZ8JjrKerenaxG3iRTXumHdt19NRbJSA7z7X4SVEGOJmTNGkzM/JuoC4xvFmSQB0At/XEtWQKhWhsN1n58r0MY4c4ykaAsDJBx46ZufsWoJUEGTMzlOGaJ1wXwxN8IyxG2NUyax1/VH5k/KuIVNCyNg4jyPHqW0kvzv/TjH3lQE3q0rhdH0NpTWaL5DSNXHWRu2Z3pO3wMGMh0g98L6/jEo36dB2v83pnrOAhXdQolkDS4069nszO+aAfBvjXeuD54D8OvflPzzaCDQj1fVLgFEzwQ36NLqqj42a7/rNkWBNM/2tCiHDSpFsnuDaAl2OjlLjRtWvLNdhaYSz+q3ZIDxaWb7ZrOvQln5PjtWM0lpfL2U9+82skHn3u4G36h70MBcFaGxCy55akqkZgw/ael0Y2suM6Zu1awUQawJUAOeOA8ONfjcAZux1es0H2TImxwHPOrU1yK8ymc3etVW/4+fK8tVl15msXjMH5b3bJ85/X33TIFb74F51jNhu57Hd7Vsd5erQRuXr0Da41PI5coHnb6lrGxDoPAALDY3BtXUWGsinK+kEy0nswmuux2vTrzCInXM5ReYMr9fxKe8XIxRDCBB1TK222rVKJ12j3N/1t+G1JizquLL9zrmZruvU3nmFBTp2lT5khV6nP9k9tPFM50+Hjc7wWfkQHeiWObbDE9MFS24IRle/ysi6pvJV3MuZ47Q6XwCBbnpa34x+nE1z9KQzy8sc5ffNI0dqCR1ZumIjjlMDqtW9xkKfNFhRXNC2/mwOhsV//ud//g37DaN49drwuEAL+lRP7Pc9b1U0X/mVX/kFAS4VNsOjw0X7u37YiHO/bT7bf/YX7+CVBucaDEaDLpPxW6t46K5XcoM26CwbqgRaIuk6i+WJlv0qozb22Sp+0+i0uV1CbxshCu6u4VWBq90Lbml1Q6sw8UOTXPo+Pt/87n4qJKpPjaF6s+vey8sNUDZo1+C3OWqw62PL1DYi8WR0gcYLgtc+LIJ7j70CAc4HnHbPEXxrpawtmUAV7Fe5bZJkdXuvgiwb9mwyJ2jKEhsxbbZvn7t+qhNWQ1VBosxM2B17aXPvd8FCFeYrR7dRqe702jnp2CniKlb/350VlXDu2tFs3wHOZqLdu6/j6Rx3TEpQKJcdo5DRBBDrOP1W2ulnee19ZXrr45OiqpG/GQbGtoGKArDey+YU+4x/Z2w3VptdGCOlShG09NirOBok2v825yAfHRcDtCAEYwAcXX5zv5tVZFDrVJH/q+D790b/0eTqEp+C5iq5Zo2ccx2wzjd+7brZOuJ1uCll/Fblu/MFRjgMFLWMst/wcfmwDvhadekNrJSngJwGDS5N+v916K4zo5HB8Rsea1+u8+r4k2PWZ/X68l5BYZc8+K08d4G5uSEHfY0J2rcEs/1ugLE0V42jvzKwjc5f3XTBXx262iRjqVOMDk+0q2NbObzy0XugSYMx9/5PNuU2Y+PgqaRpVrJ9aLC6uqE26H3PvWO/PNOP354CtE/nvwoOFEj1Po7Rs2goqNbxNBjnHt5zLIDJ+QdcZcUanNo9putbWVR6wgqXz7v0hL5mw/C1/m9M5KJBpWKRzn3ntzjlCbtUB995eGq1C9WH1e3lnY6hPNZnk/duivaEeTpWgfThEzbPnhd1fvE3PrhJnHtOaXdtUe2B4El1beWmAZ57z2tT0eG+MomT2431GkSFyQUPzGED1X3u7c+THoQbhyeGLVSpcdotCYR5BAHRxCuK/C2vsNVwqcCFV/DtHjK2+lc6NyBZDFc+KY/XThh3gwrv08swkGsEFbwHuZiggYPaiVZ/7LhEx2iLdrt+tBitx8t29++u53/kg8q2Ysfdr+vNu/6cg8vZbdWaioOWfa/fKl457w3mwin06/V3Gkhqsu3qmdrVj+09tVfwPdRkYXKdrYA001IhqQDdSEiFHuMwTBXIRS6WYR2zr5zOcX3YNSO8TXmWtq9xNsn7qOE3wZrSjfty7jUlh3V0XglOQbeJRJcGAiow6GzCCch1DO9zq8wqrH1/oQ/6TIisT9HXrimhiGpECIwNExh7JV/uM0FE11sqd6PkInEiRHtud3AjqPc+xsrRqyOAlsbxFH3ceYsAj08crzK6Tm0je1dAWyrXMQoAzMiuXEgpvXnwDEBeSbSADCCFX7pW3EL98hRe8bxtmLa5uI5r+bf8TbGLrLdfN8KOVwu2KWMRvOqH2y7oueCqPFuA3P4WcOjH+HofwYFWUVjvU56uTlPJsb+jG9Dp3sZPNslHHdnyEn166Vz6VcfRLZ2fq/wvYCw/m5s2QGEGEz2cb/6qj+u0FQx3Dq6D7Xd8bT6A/QYRrm3ZmBftb6k8eVsjE9ZQKUvWR/30Og/OUPWd5RVrOw8Nu7t6M6Hth3FePi3wa3/Ll7V7T3PW3y54rjz/jzi1N/BQ5xPPKkGrvhRYqK2vvfG9WS581H5UXkvD69Te/9du1rJ0vwHG+xzX0z10CP0JwHWN3p1jetZGVfQ7Oyd7AeesAeOjKb29z44PjE4XNwOon+TdPf212Ys1cWSpryesnWL3GpBv1cN10Iy5uqa6ulnzOgAfBvZbYllMWBrTPftf/3qscyGIy4ay88Vf+LROHZmx6/doOWeLvMMpZGnH3buy0jG0wq7yD9wD75XV/d8lPU9OcPnwgvpm9IZR2uCj6bXJsaCI/rNVWtdj46EGFJ70SJMc+HU0GP4erlgzXr+Pd9c4R2g73rWEh302Vy3dl4gxL3WkWhVaHf2kF27Qw294udUiaHazvK8crOorFYR9vWLXaj9VhZF7Om7jHT2mKzaf+GznSB6N3nvtnX2E/pcP/JbaX32GX+BPGX/zJfBfB1zl2a5VeQIrcdhXGTWZasUL/iWTHRvdUZpd3XL178fm1Fb5FMBdgHOFXYeeFOpTBOwOSKtjh1gYx/NtBoIQ+8sBEE2SgS3xrc9ohEJEqZFGykg0RD8JMDpVaBoZtsux31oeQngwo3Mwh6aEpxFjTHyjYJyJOnJVrsaHcZVe+91c14l0764fKggRFNj3Kd06Nn1uFWXXRDRCtH5tjPqnBNTrYq4iu3Rrednu0+94dNcXeNoSX1SQEIvo4uWWiJm3bkYCmNRYGtcypePB0fubvumb3vhSeXHpufsCUi19tclRo53NChfYKSefoy5Da23hgkEb6z5TTrIA+oy+T47UGiUkG68CwK7QVdrmo0D8nSL6YM4LmBhLEb9WFQA/jX62uXcd+42djii4ZWiuMy9S6h6V90sLvMUIiEpb6/nEqw22kFt6psagr+W6nzq+Vw6fnK22Bf/GFw2OlS6N4KOJcZCNC8p8OkZ9q6HsTrACJc4V/VXqSTYLynwmD7tGtB5PKKPetdZ80WHtx2Si+wJYh75ruosjANZgRUHg5fMGfKu7C47LywWx17GrQcfLeK3PfXrGbddBuAGj3d+yE/xl13QOlv4U8N2xdxx0fgMDNzjYMV/AWUBkE5FXJa/NfrQJCNZGO+eWwLO3xTJoYemSfnQzGOu9BYssKcGbbMkC6rOLo/F0krLCndP3OCtp3vPseG+XWPoGb9euVyfDRl6n5zndQ6ABEc5+9Ys5qa7pXh4tGXxqtfutcKtuYqfJDB6gKzzHuL3BwjIX1yiRJrPNUuFRYx5N7IfA7l3eo8d8v0EZDjEaCozUWdd3jgmb3vv0fg1AVn52Lxue2dF261HbrJscfcz1xrVxwih4G4ZDF7b2BoNLA828NWExXv/kJz/5tvZ1PL7SWOtCV+69BhvZ6LVVljKRT8Hqq+PM7cbG2W3w0Vw0Sw2Dac0a3sqz4uknm9/WACXakrduIFtZu4E0fN8AjPXDKuqKD/b/6Df8trL60WM0/q8fBDxu0L0ZXAEhySW4lAy2v90ktrtOT+/svC2D2/vkJcncg5yPH/FP7XbfNbw+36pJwSC+WauFPlKn9kYwa8yfDHWNX4Gn72XgG53qcwyukTqD9psJL9DgsJUhC7Danzper7JAa71Ps3wF/57byE+Bgwm82YPSS1OqdOnbMZXeBc63vMFYGY8q0ZZKNfBwI4Sl8xNdm93h/NeBqQLopwqnPKFvjnFsn/ivxr3GuA5v74WOt1kD0kwu59oYO+83OGM+KJYGDjg6i07uM8d2Bme/NVCDj9Y4tcqO6ySbK9kVShUdd3wGbp9laG2+w4mggKdAdy+bOoj4NvjQuaqzDyR1rQ4gWFp1DupAfhjgblS44Avv3mxHdU7PBwJHvwHJZQGfHM6rD7r+pfxbHuOAd0ORLlsg+11DTmFXx5QGxlEH9ToijUZ3bkqHK8eaV0VxFspzHdeTHnxynDovT+eT2RqzOrIt6RwfysDWqWk20PkFsdVb1YnGIhAHTOAdQQh8i4cbQOXMr9GVNeZdB95xPx27vFoaXZr2PuXnJ3up3cBonUP0s1kHWsrouMa8tJywQe3q1Vdz/sTL5ddX/NtP+eR+v3R6CpitAZiXFnRRHdpiA0DV87qm19+r4y0h6SvqBLt2fM5p149Za7vnojHH1gZXu2bz0NdxNBh1sz5r+80zOLeCFP4+4bDqlbvWs9in5z05tXWyG2Bv4LB84vdiluo8cmPZDoe2OLH3b9arAZhWTZkX9y6uZB8vb7M7tdUXh7T/V37ZZbroCefi6cr3jgv0CXTI2D8FbzyLbjX+6uDKWWX34sjqQ+fSD9Xt4/0GQznZMCes4mMp2nWcn7DVU1CBTDbxBLvBJjf4de3DU0Dt2s3akie7d/V070331OkWwK/u0mAImVEB5jZyMt5dUIC8/+7v/u4XzE91AazY9/8WnxvHU9b78sjus/7tfzxnXJZoua5Z2Aboyef+eoMEWXryMz42p/ZVFOXp+I2MVJldI93PE8O5rk5tmaFEqFFqKScQ9OQ8ae1vAZH/3adKwsQTLH1Yq+KoQsDsBO4aYY3iaz+qMBtZ83uNw5NTWwVwndqC+pYfO09ECy1attH5rhLQhzJ6GbXz+QSgG2HlFNzxFaA+ObUFPTX+1+iszdmZ8A2AMHL4aOc3EnV5qHNTZbrrldfsM4d2Ec05m3Y/xkey0MD0fTcjR6jjteOrSgK/c2oX8dvzgKDKzM5TiiwThfe6M2PnVf9UDaBN5/o6FjWSV0n1/k/ZG/0FNBpBvXrpgjy/FXSO5rJRgGsNZ+e1cmGOyIPmPEq9c1O90fuqtriA4n3/X8e2v10HoTL/lEUZD64PAx76eHWUsZW/tQvyrvPc/pGH8hAA0iz5vjOS64uIMGCgPK0A2zNbptyx6AtngQztXBuX+N7SVvZC5BsoA5jozDoYHd+lV1sBUs+/ze/XRt5A073+ypOxAxUbl8oT/5Mtjp5s3xwqFSf4yXlPQLN/2xfX0t94ubx9+dr3AuoGiy+NGlR9n1MLpNOxrxzDnd+yZc4sPhIY2HndSfQ6tXTPzp1OVkqshM95d81u39/ZHe8bOKtNK0CV4bzVRJcv0aMOT4MJldXrzD7N451rtv1iA8/1/1OpbwNh7mmXdoHZaytqo4Dm6q8GZoop9r27spYWldWrU65Te8fav3hhIL77qfT3Yrq2nYMH1lSstU2mBQT1o8mUlqjXgb+29gZ2K2eVRX0x/9YtC9JMDtafPZfO5cwKCpr34uDS0d8rl+agr/AxJ03MOL/81vtcvn2f7i7OuO36Lv5nQwS+0L/B9Is3LE1rybFnuN65y9bCE//lg2rQy/P0Ym1XHd1ry69PV/u9tus2h3TWNurFZ6WT+cEfElL0guBenXx48n+KUytdfgf9ZGg5bV03VSN1nb+2Oq8yCGsFHBWAGriC9h23uFmU4GYgCWmzl2tluBL0OrgcwjqHJu9mafe3pSRdb3oZS5vxm1NCOBqFuY48hqXo1xpp66JwfRdJdX2ZuGXNu+fAjWMAEsemAt1SXkZ691Ay6/4tC9o5BM3W5ZSu/qNfx3Sd3/u7SPjuSQC7sYS+txxopTN7p913fMd3fEGmqsC4c1XHpdFhWXbRtq2bFaH0mihb86M9/pE9WgmP7Cynthnjq6ys7d7zgKw9y0ZUaH1LlDkQLTWZMVqUFa9d+a5xJFtdX9wdkLub8+6LjpV5PFsjcB26K38NBuCBRkQ1YEZ0c/RQEuY9rdfRYjjcb40BXjOv+O5mTTy3vHEzQg0IoGuzHnXaja+Go/R4dY9rbDXlcNbH7L4ivbIhXcdUwEUWPbuOV3nMhnz7f8D8lgm7Vsm7rM7Ow/PVf3TY+mzNuzn9/7L3J6//b+ld772THO9z4BACBmJSSUylq0rKNGokYIgQMlAQnDkQ504cOzkDwT/HiSA4EMzEjoQkJFZMYvq+UXEiOPHWNDevL/vx41nXeX9+VdG9PQfuveDDp3s3a13ral5Xs9b7y7LcYO/WIpIvusdvm3O7H5t3Mrh3Tq5dPM05m9IMrdcN2L1yVr8UANXgVANG16HFW2142I7xHDBlXw3yonMdE3Oxl2dets/kos59M0Ht3+W9myEqAOp9GozW566jJgdkqs9avG3nTO+Ub9GsgTbnkx32jANiPT79DpCNLxYkmk4fILXWszQhSzvG9fdOxxpbnccuXxFUGf/ZOKbPZm0QDRbhqG0Om1Vj9wUlr2PRYEgdWDrM/53DS/dX2LAYqDy168ggdZNPc7XvG/PsGXtZWu380m//629tm8eW4bXpgC4P68ZfXTfcAM4tl7x8eks3i2HYRrrR9a5dvXpCgKnBmVuWuScf/Oqv/uobj7GzgqcCLz2nc40X/H6D/zfIV2e5Dk0rlGZjds6qgjwxAOa5QRGyWN1xA6wX+9FfHGpB+a4Vpa8c16BJ7WUdUfc1F7Vvt/W/9ru4xCaETbroW5+80H196tc0GFW7uWMnDzYA/Yqv+Ip3TzO4NhlvkfcGOa7D2v/wB7tJ9zt2em9+yh7LtFdL319V2NygGF+ADrpBli9mR/+HndoStUzRLA1QvtbOPRlkzFTFX4eNonG9V6UhBNZkYF6G6gpIo09VgD1Oe4oCdmIZFFGotY71yQH1W4FE6VrBGYPusUK3H1fQes5TpuptsrNmuPeqkZ+BZfw50RRaN8igTMqcWqPFaMhAX4VkDKXDLdmq0zCAadc1ayONoQ7GVY4+W9Pcl/nQtkbg537u597WuqJzdxkUCbxj7H3w2RQNuZAZA0xE8ivolTPXNqZGqyltdAJ4ptTXV2DbRlt1vM2R6zeSX7rrk+3zGeUGlCg3a3PMq36uVWlfEHv1SjMDNwBWvdFzd79mWO+8OK/OmbX3AzSAKt7mCBTAoW+vX55z7xrdypfjql/q+D7xUMfe/3rt8kx57+qKp4YmnDROqEeOMHw3g1dAykjeAMn4wYY2DS6V98rjzapak+z/PmdWa8BT1HhZXEAWH9voz7wI+gjMVW83k7u+bLxosbVDSnGtt28Wjn5q8Kc0vvPTgNz9fOXf92uHCjSb4WvZtGxg/6v8OK/OE5DhfndNMJnA093/4NqX8rUxNlOB9pXTyn0BZ+eHnih9zO+TXGx8ynfprI6Dfqyecv/St9nund+dQT0xAKjHHxcP9PEbMrVobmzFN9U3snx3Q5cbKKouNLaNH23x6+7T9fHl1zoc5atXAPMC/uLCyrfm/pUB99T/9kM1RY+t7RRc1Ud8yJG9myIZB1qvcWY94qxrnGuDGrAlI01gVIbpInYTf7VK78lZqp3A/3V0KlPa5niBcHvGrHUjK4Hdzi1ebzLkYlH0Vb1VXEgn2K+gdGdHGizx/NQ6Ou7VPQ8aZMFDdRirM8wP/UNfwpyqFpr8uhiuvsyTzdyxza53/otrXsnEU6CT/PUe+L5Vd/pc+a79ca+v//qvf5eQqJ7E762+7PxKVpaGDSyx3xeTGpdn5E5mhtGVlddxvXgOHRt4cL3rb/1J2p/Iqb2G1/cqxEawLhC7IK4dv4qqRrj3uUCN0akSp5hN+lXwgFIdqiq59rvG7U4I54ZQtfztCYSXTgUO2pODugjILbXu9S4dL707/gLsjneNANRplb2scSf0HFpCAPigfRVqz2/Jg2vpnwg453Otz8K1mYtz1prBug7HHSPjU/o5v8cNwP76r//627uo610vene3vYKLxyh1O9mZm1YUFLhdpViwch0nxviJ5x3XSokCiCsX5St9J4eU2eXf8h+a+J9cAa7mQ5/xwJN+qR64gLj/1bG7wbEeW2DY8c05IcddW3rlvmC883CDRuXJS98qbK0O85McvwpkVV90nFfflFYN8pTeu4ZSvn0uYH8yRtVBT042p1KggNxwCC74LshDu2ZVBWc8r7Dz06yvrDKgRbbpn2ZVzXX1Lx7uPgf6YR3k/h9YuBUkV46qd55k+kv9rY5Qr+sFYNpQCACnI6+TfudOts64u8a2weR7bp2bOpM75z4yyzxf++Rz5/6J5/ub8dThvvbtKWC2ZgnH3gUqLoh1nj77r3whO+vedjfu48IuYL7OjU1y9LHB+2vDG3x8ClRebFO+aR82hgFOY2rAv85seew6teWJy6dPTkCrXTrf7tlgz8WE/a16lYNWB7IJkG5weO1l5evS2rXRjP6pfX2yJ8ZycaJWR4Eerr13ztO1Lq2fHK57zPh7iZDf/u3ffseXKl3wskx1HfBLk2tHywPl1QacnoL96D5+pzdu5UmrpC7t7livDnFcs391iNn2Yo0n+3116xOfG++rQPLl23vMWv2WJ7va+3SDxCZqrsyz3Xv9tw+d+415AQ6Js8uPpcVaq0oa0K7jWj+ETcWv3XzKEwvuxpqXv9qf+/sXo+dH6tRyDGrQr0LD2DU+HcAFn702w1UHq8S40UIZQMbE/U1IFRtGN+kE0QYhCNiIkMgsxdkxth/LSvSZhxfwYgpt3xtJqYK/5SRjkgFwUZZmkHyv4Xf9a0w7N2vGvzHOgZvR3w5q3d2xGcUdO4CnpGnvG/NKXRrF2vuuM6BlbQCHx9rSRRKneDeG/bes6K/92q+9WxPyu7/7u++ec/bGqMlwLvtph86WgxZEiH65Z3mhvIeXWyoymo8G//Sf/tO3kmEbLHEk1y9ZYvPfHSsp95W47n19RgN92nnNkth0yaZg6Mgg7Zj9bx1oo6VVtvtex1ZEGc+sNQOH//Z9dO+mEpyEPpaoUbUdZ5MGslhwqU8tzeTUKuOsPCjJKZBsJL4RZvOGl2tsngzkNSY7D/he21iBooKpGu464pWtew+8ePWQeasxenJsG/C6c9uMR51W1ykdqnudUwPnHM+O7npt4yoIuUD0gnfvu4bS9f2Pf+hqBtDmNehUh1ZGhr3gMOya6GXn0jVBGP304Hr8ypntbs/ui9/wuICe8XBY9tt08dan29ykTrrPF6yUZjXu5Z2r/y9v0d2Vh/VldN77dKl1ly2XnIx1OUIBkOcU0xcCleaW/WrZWAFugwKcAllLjlev3yxOx0muy8+1Y/olE9DA5nVc/H7brmfDJWV61X/FMg0C1mmqfhdktfGenUS7Xu2OU1+VFtbhhKvoyyuj7Jj7XqergaDyHb3lyQ/jkdFAP9yju5+iX/UPnevadRLxyMWBaNbHIta5dZ3Spzq3MkBf2uSqc9NgjqCXPsEdghoNjrjOmqU6xr8+WAIhkGHu2z+6pfNcPbzzLI2ojqxjjxdKowZqzSPd1GTKdYiMdY952XxPR47fK0udj5bgd346Fue1DL/4E2+oniM7DZpsHjxOz47A9Dy+wj/Xr0CPOqCtBrPRF73R0nRB1dpBMnFtVx2+m+yo73HbdRQdfx3lG4S69+R79FFjjmf/yGjtF3tqrflXfdVXvdmF7Yw9HM5/Mc/Fun7rplHdE4T9bFUTHiM7DVIM16/S0dMvyCt+7tzaHOr6RtUDlZuPxamlDNygTpuJ5GAhSpXi0+Q7j3BU2VwPv5HaRiZNeneirLE06QVKzRTWwXCPNf1xzjVyje5RTEBSo7zGWEYXOUWXV23rO3/jN37jbav0G6FuawTP2MdQM+SNqnhdh2yNw3l3eJyQzHjL2Mns7Ppj4u/93u995xChy0/91E+99X2MO6d3CnbNzpD7vnEBQnbYtPNp139VWHe/PrgeeODM1ShpBT5XwJ74khH5/Oc//7a29lu/9Vs/+OxnP/suorhjJ7QUAYXFQBXUAJbr/80yW/fgWjvWmI1/NFUGVeXIIcTryme7mQu+kv2uARWEqFOAZhxPtOnOdDa4cD2yLlsP1NWZLY8y1M0g++/yMyOuvxyXGoiCiK7tvTKH5xuhrpJt6SQDWkf8OjBoW755ckTWGuVeq464zmxBvf4bG97peR3LNcSlVfWQ1mCgzNot7SyAKx16rzr+eEL2cNfFm/qKRjXaAmi3FIsNsT6W07ZX1w2ppsBHLWNbo//p8/J6abhrAr9+57QoqX5aZ8f5ZuDXzHfHVJDT38o7r6LpjjV26/84ewMwC8jZ+Gv3ne61Ict+s65+/fQ4o31eXzdODkKBjZJMTr+M3+hUmdqxm/PRanpaCVptj/EUUD7JJRmgr/t81j5DmLNHX5W/rj7ZGAb0PvWpT73ZOdnlq/cakCsmMO90Q5+1XpzTwNmVOfwgeGk+8QsQWRCNn1ptUKeyAYjKPZ1SJ9cu3+MV46DnyPgNwjy1JxB/j0U/8smuum4d3IuBqk8KxGWLWgqLJ/qIQXqowTlz6Dh6FT5Ci/ImDGSnfGOnw/cSzOg1jLUB1CY48H0d3dtKKxVTt3LxOlmuPVnxmU4nh2josz5evqLjGgQo3TiNDTa71l4eDel6EgE3M1sc3hLx8tnTseRGX/Gx0n70MEbnsIk36Fv9o11d8ETz4vHKwA0O4OnyC5n2YoMskyPvyslhnCayGpD4wyTfJEHWppfxnP5LDHhuML3UqtOOoTzB9txqjF272A7WI3+dy/J8seDFbaXlR+7UNlrbSbwduh0t8zjmMmujU2XcJ7BXxdtIf6OX+ltQ3PU+VbDOuVHiErcRNoK+710X2fJc12///d5Id/v71MaMe57kd37nd/7f6Nt2I4FVUnX+6+yj4fqvJIWytm5nipQTu+sAhXNKGR33NxdoKXpacN2o+cpkKL45tfu+360xMl6Zzjm1e0dz42lU6xVdLu06J0/RzjUbeOyeDSagHx7nUKA1BxHPoV0dmUZ8Rye7vAqwAKsM6gw3RWbOjLlK98onJUhOGxErOGTozFOdqEZTGecGEW6WRJ9Ky/aJ/N2IYWWOjFUn9L/Lz36/m3hVOV6dUrDXbFvnlpwCzwDLDZxc3rn6jR7y21MgS58uX5ZXjeMee41Eg1zl/fa5jlk39yh4KB0LIjr+65h3XdoF53XKG5S4G7jdbMDT5nR1anceZ9TYqpPWJ05MQVP1scenyCarFGH88fqT3qihvkDgS2mvdNdTq/4Q0G1FTUHcxoMOrcJwHaBpx3TdWctod1wDZmTTXDSDYW2tIJGgX23T1cn3dXkbEAak2K46x2sN9txGBmdj6LoCyae+VF/0e+UY71Rv9Fp33tCBjaiT1YCS/yqHBb83mHIdo+sY6+uaOZE1u1k//Xyl357m7+n4JiaM4fbxFX9Xlnp99MYPAh2SHXX6jBcIl/G/VQDlhY7PnFqbjm/oBvezvrklmMVBgnZ33B3bK54pn91lBK+Od18O+ZP+xS93fu4cCMaWF9GEPi72Kg69m8oK2LhWg1bmrXspXD4rLi+W6qZ2gvVrVy8Ul7Rf+n3xRWn5iodf8e+rIEXnvAHy6qIG0uq3WGPrf7RzrQbJ/nt4thjmYgVYbrzS/SckJmoP+ti/2uImB/Y/vd+KEvd8VRGgbx9F+xNnautQ6tjNmiBYmX0Dx9R1+qq8CmQN8AncFuQqYeh6Vv00sSapztllBA+XX5T7biZU8Gss+gSIVUHud5Fx3/WJY6jU71U51l34D2hd4fO5gBwd2o+CPECOYtsYbGg0J3rltpTosq1dHL/SpV1vj4dRsrzStyqqvVt7tv4ve4BWLYddufEi5jv2937v994ZwRqP0Wdblu84pV51QNxP2csVlM5xgWiN/JMi81rfRwMAFy+hcz/jxa7fuIKND260TT9G8z7uQdb6Kn9glsKq4q1MKcNUvtLrMEgUWzPw3dTHplECJfimz/cjz661PslG1BhU/t4HQBm/JyfLNWtI3b9lcNUv14m+5zYDaf3m9AAAU+Nx+af9Lv/4TUCAzrpr5J8c/yr9ggnXQZP+71qCEhfc3T47T1m/AFPXDjZ4grbmv+sSG/m22Zwdg/1O35WP8QEHleFuaSt+6qOuZAyNkVN7y97wKfmUOSygYSvsGrl7LDIOFOgT2ag+0T/z3KARWSifP/HI1f/vcyrK1/Tj9KL5AD4AkAL4jcPzBMl1gwh4rvPjXkBMn5nt1SymaL+NeTjKV87qpJTfL+DH53Vgqp/vJjivAKf/l6kV/KhDr4/l16ubO1fso8+l4QWP1VfFRq7bOeK4APh1Rqobumb56pA7b/pFjwliy753TX2v1XYdjSYFXvEpW3Md/qc+O67zVYxY3m/VxmSWnDaLde3AAsPoyCaTCcts0F9woZnbu3FPg2DDJuZCGWh3BMcT5sG9rmP1CofQLbKvT7antCVnzajeoHDtNtlocNr14Ys61H4zDzDPLYn1dID9Bn8YTwMTlkKxRc0elxeb6S42gM3ogn3nG5BPc89/Ecgle5X9J7te+S++M29XFioTT0EZ12qw1HVhs+FAeomeNQcNxhq7zR7/e5YB0gFsMdveDX33n2oeQS78K2Da5XZe9+knDTRKRO0zO10bsLFKQFxde/1Lc/CxPacWYSoc1gPW6brA4grsFeSCNsB/3z32hnK+fanyxjTKUQhjnQAKnJO748cwc9CUv14QCCxYM4sxrFeShSFMDGaVGcUikmTXQ2u8OpYKxPqzbbJXp76dzZR/XiBMGCukN+LS5j/M65lYwBzAsDUZsqfWyO74ZY5lMvVjNFxfCcKc0f2/sc4xnJDuN0Ly7d/+7W87O++3f/2v//U7OnlYt82VVi7GsOz+paXfgbqbwceTlD2F6phXkUqtO7oR0joojB8eG0/VwW9QB3/ZWZGi2Rh3/f2+sXt+5M6xY2UB571PDY6xil4K7DSgQIkqp6yx3zHWD7seAMVYd9fZRl8bcGHkAG/967riS3Pjo8hvpqJR1kbhGbkGOrTyfSPHPnNk9bcPFTdnSuvRudmCzk3bDda5rzXIzTKjR53aylXLdpqtbwagUdpbaeJ6IqzaxgXgtbRqY968qVDAx92Yqfqq89iMU0ug0It+9jgewG/BMs6Ovrpun7k43jTfnKz9t3v0ERyyevvu8U1kDa3YFeCKbNBfaNe1RLuPbIwlL+a2AMxcll5rja4X0La9L8iBL7rGai/Pov70pz/9wTd+4zd+QWlY518fNqYtrZiTh6/QC3gnD7tGn6nKGbL3ApoDjNcxfQLSxsVuP8175WzOCx15S/a6jOJVFQVbt70aNuZVGnn0RLM7Pe/qQH1n//H65gEesC4TnW9mld7UV7ikerM0uOMoD+hPdVwdcrQzN579zCmGXfYS0Lr82PvTl71vAw/Vu+V1OucGFXs98w874T/nWJe6NhyxsQie4cvpkAXHPdZHsH4vG+fs+pv76ZHdbzy1/8nzrgtzwotwxZILgg1r7jccY5y7Hl05/hq+UQ7LDqAlG9TqIk4d2jcJ0sqUytedL/ch53X695tleE1wCGDCF3THzabWma/sK8fXd5i8vDw6wBfmV+CbfrGfiWtenaoftbtNhqxtDq5udr5xFi9dnsSrMMjFiE9Bn1eBnV6bnGysd2lW+d14YMHReXprOnDnT8fAoQIxgin/54cVf2utTHBPPGHOd36rcqy3h53xpLnwO/nRd7y8Y4cbrOVmi40Pb6AxmpT2/7PtT+TUdmKBNk6f/55KCq+BqwJrVLMAlSDbsfDVA4UZsQpendoyf8txOXPK2DwmxqsOucgmQOo+oj0yWKWP8VX5M2rGV8P1inaOnyEeo3SRPzrc7wUVBe4Fw5QQR0ZUXdabQp1ivsZun0Vf0Iai3LhmNOYc25jDeto5vHuszQSPAFojOwEQuDBPuy4DJFu0+yhBM95GiBoVL6CsABIkAAydLk1dY8fOKQdYHE+hikAWoGitHgAYR5etaRpv71gZD4GDViY0m98oYstKCupKEwBsx+0auy9HlCODN/Ep2jm/a9S79pIMNOJHL5C1ri1+cvCuQSl/oVkrN/TNfQqq2udeqw6XSLA+dU1nAdmO03f9FrAit81aVFdcJ/dGfpsR7sv5T/2+WbSO98mZbh8a9LoO6G/+5m++yfHkbAZzYHF60K6ZVy9XpvSlgQw6pzsV0z/th5J6z4/e8ZOH6QDPk16AbOdOPzRyvwAX46iSYf/NkLIDQNf+E6SkM/Z7szRdK9Zni15HvQ6Itb8F5E+6w+vJqTXn5SX067VK1+q8rtkvHws8dNlHK5fYVY5AN8HpMz6dB2R1jwWgi/2jE9c8rkbwE406po61sn2D25xGcymI1OxGeb664zbncH7G6zaMMt+1x8UX5NdYuiZz/wPk6DteNH52tkujer9uznVL/vSlQYG+OvYmBGo7ODQ2OTOOJye1c/V0rxuIu8ddp/Zmdqq/9b3y0SAZGvm/5dqXRuRoPDKMISjcdfbjy837zufsCBqTHzaRjKCV/gtushe73mg6bKBvgnMcuNK5erNVjJXrynt1BjmtXqnDeJtr4QNOrWUedx5KU+O7tK5zbZkG/IPv1lrZQ1fsxa4ssAhHjCYCCXsJXKHRU+DU+KpD6CoOlMCjJNZd013eQYOLm9EBnV85ruXtp4Ba+1q554xWdwl2dA8I95cZH40EELu8Y+P/6q/+6ncOKBlgE+24biytaODH8Jvq01Rnw4DD5XwFj920Xn/HTgfufuwtB/nqBPQpjqitK40/tjW1dWrvpHbdWDt7WzvdifYbZawkmCPQrEQjemvWHIpIAisATI3AFbyWgoqkmEzZqU2gjFed3UYfypzNmPZ3kZXu7Ov8p3Whzl+mdlF4mYanVnoXiBZY1lkhOF3/ROEQ5hl+dBEM2H82gbIZyBxugHCZ191r4xxwXjnz+rHMwJxkG6/MABDK3ZcyM8b1bfc3B45tacV1DvDUHTdhaslk6diSkgJTxnSRsm/6pm96x0+u04hiMweuKSLerND4c8YXONq5Hqpu854aGOOnvL3XucTjdSobsTOmblDQsQKv6HR323Os74wknmVkKSdKruVbHVMjgebsT+LUNlNb5fiUafC/KLXrXN3TjMpe5J4jC/TfPlWXXcVcwFCQhl/v51ftltOVd5+c12to+7v2C7/wC++e1atceJFyUV/68waOBHqaHWs/phOqNyqLosZzYqcPVG0s4/HN3/zN73YWXhBv/LMgWIMJM6bur1Swwc4dp3x/jrrsjCzVxmjjM+XKQHNLraoD0I7e9DzSJ15rUOWVU3t185fSrnPRgFODNNbWolcDW6o2AMjpnM07mW+mrHa+PO/+3UikeoFTu3my1vDJ+TemJxnxXcDZs8lr/6tr8XUDPRcE0cW71vhifL7Kp+vQaJ0buqoVag1Uc/in00fPyZNgrF3eqyfr1LKrpePlu/tqENNx6Ff7IFjKEVnflOC36oIOajb5yYm+c3h13SunFh/p770mfi5t2bvS/+pd84rPK/OqiczZMMXmh9PjXvutWStVJDtONZQM5gJt1u+u7V77PmxmTneuJQ7lO8Ef9y6tvxhgF5RoNVLl9VVDS8G7Vk3dwET50Zz0CQuy/vSHZz6vT61+tDxgTbm76woKzjZ07b2qNU6tuaDn4afyKexgjtHGjtWW09BD9HuxyuXV0rI27ynIdOl8MUjl8zq65mTHeZqFY+Fy2JuuFYyYDE93kWXBE9Uz/+2//bd3eH5zprJJQuNiK/aoTvzsAuxb/SrQMDpuvob5JZzoFXveeLdskr1rsPXqlVcBjC9FRv6HnVoR3T4A+2YRAGgOXAnZzl5Q3YXnBVgmUCq+ypYBsL6qDoLJmOFqNEd2DDOJghGmvQa4ZBn2SJcBPxnSXX8TuQktwQs46pTUQQYw6tQ28lbAq6Hjnpv6Hd/xHW/KWWncBfoFtj5zyjyE2rz12XrNcI4Wu8f6Obrvv9Fq/09wgF0Kb/My2k3h69OUvespSRE92zs6Ayx4Rl85Q0q+KaZda/dh8IA153QzhoKDZs05K/rRx06U5s1Orn/bIv/P//k//wURp2ZQC7LchzHc+QzBeMuGWAwkZXSNvHvLqNQwKgklg3jff41KKq0sn7lHDZKIrn6gix30GCdgugqJcSr9GFHleQIVBaUa+bxBKMr/rvnqMS251U99FXXcvRg30cVWSzCaHj2wF+NgrjZvdQLarkNaEHodYWNAn2a8akgdV0BsvMbfKplev0aYrHjXfvRHf/Rd8KNVLWvrz4JRa4JJHTedwjD7bW36EaCxEy997T4ekaPcbEGj8ekCR3NuBX9+8Rd/8e0egM+cXOX7k6Wt57cDqt93zwYrpzPQbP9vP4D1eTpcufl2CZ5DjR6CcuVPckMu6vwV7EtiEAQAAQAASURBVDfIdqPOu7/Hs11jXT2uPdmXBlWbqS0fdb1TwZyxbB5GF05AHwdU3sFXePjuXNqArftPbixnKY+XRq671sqlvlRQrZ+yZOTGNeqANet4gwXkfjpgTsj+HzbYvLseXV69Zr7XyFp143iGbAx3bEd/O+WuDNz64uqe2iZOz9WHbPFTRU7l/wJExzS4w/a1QqpBYvrQGkhVDXXeK/fmsTpn99scteHBltR27Ddg1KqVGyxshcyuoVx6/R49LMsSMJte2fuc1vEQR2PX2jxNbwhIKFUFwutUsTscg9paGG4yxEFbQH96c3wxPTbs0rLem7GtXFdXlD4SPALo+21yeAMxt+Hn8UEr7iZXgtb3fvrF+WiFx/h615o8Lqkh2ORaAn2XX6ovqudgvIvr8RY+xP/mnJ2UKLAO1BMydvzstyyyc+BE5eNdotL71wY86eLb0KxZ/erxznGrhHZOd8VuAMRctbLnM5/5zLvHt/3kT/7kGx+Pz4dLp9PG71/7tV/7Di8vaCxQuwonAevRCP4WLBHo3Xyq7tDXJjaK7RqwFMxUpVI8XdzfxEF1S/W++7yP5h+pUwt4VvETLEYeQwCKiFMhLoBrJLmbAOy1iSBEZf6u4W2UsJHpEoyDWcBDqXOKa0TcR6rf/cYwHDDrq26WD0NyYGsEaqAc16jQjWYThDnWHkMAqF9muAau8yHq5XrN5BVMUWAAM+ZmPBzXkiFjch2BA8dRGua4ALs8oUyLkfVcSWs8G9nef7dyoPRrxqQKR6S7gGVzPIXQdo1NSzNdu4raeJuhd8zup4TOOiBlkRtrH63RDAEQDlCad8bKvCqzar/rcANtdQYbhGqGhpw3E7H/gDjGzm83EKP/zUCWPo4R2XuieeetPNNr1mA00o7P/NbnFpLVGnfyXqdlcjblDIh6zIu1XDXOzWAWlHVMzaDUWW1AhbEt6CkPNdtV5X/XML1yiOqcaHbGpY/W1ofyqGCecaBTA2r9jo8aGa8DI9I7Gg/0McyTQQZbAKKZUfSljwVuRITr6CnpIhsFD7vWnJndXxZtn0Wd0UpGp32vbasMNWB2HS3yr42uu1ezwZWRq4/v60nGGuypo6TPDVZo5MEGIGt0/JN9qVPbbCA765qcg8vPBcylXdfjNgvHQZE5q1OgX3fcpceN9jdIKbg4h6cbpF3a32u4B9riY3pw87r779p7YsHe8TtHfzzWAHlx0NX9qs3uq8ugBEWd33V0G+eaCqxhF84XnbL3brRZnXb1SPVR+Wr3oiPbzK/qGGMmu53LO5/9vtZ9BTglghS73uR69N378OLoP6DPLggM41dBYdcuNrvy3WAwHpP59PLYw73PqR0vzMHoJlQNYHCyix8uvde6NKC6BY+8D/Cbq8nQrgFT1Zaap+rvZu1qR7tUYXpszvwqaugOgWDXvYGljq+B7fGNe1YW4Wr8LBiDb2pTBWysj1ZtpMqNTRJkW6vDXt0qcHCrR66TWjoXE/b3jrd6230no/wYDq13a49dF39JLM0nmo4RiFfV9N8/fLSiRJBrcnYnJ3Q8PvJZlhVuZDvpcrT1JBL/9VX61i9zr9rGa0cv/Yr1Ptby45tapyAwm0ah1QiVMXS6TlkzV83ecnJrgAGXCyotYt7/7s9I1kgrJaZs9GkM4j7dIU2EcJMpY8oRK0AhlAyT8V6nthmYvp4M8jIYY8r1c+Daeo0quhtVbfSzjhAgfZVO+6ehDye3wNV9KWiC3awPo1MFaT7KxEA+A6tESnmF6KF+7P4ipeWvGyQwrleR4f025byMkHZ5dO9KY6Y8WwJ+I3OVjTUgRLZPSZgI8Xhpcyt7I4Kln3bjtg7RPcxn+a7OaUud7hxf5XFlmlNb3ipNBX2aWWhA4QLMJ2MgMHFpfhs5wUOCG73mdRy7hqiPh+pmI+a0a+hd07OUgQCVFTYlufL1VMZXoMo41qnkAJirLgOoXigfV471oWVUdZ7ucdURPX6/icyuTe5kRfe79fDlk8tXdy7ML0ey4E0wg7M6vpflt17I2nslktYnykBq+239K7+2T87hnHtm9jJonFqOhswi/WeenjLsDRQ86drL76UVgFl9+eTMlub3N3zxlJEscKLnGshgI8i0gAoQ8+TUApBspug+cOyYRvAbya/TXt1Wx7h0bnWL186tI1T61Zm/FROVB+/TCdOrA4TjM4GQzsHNIlS3uc/4p2tngVMbow100h0Cvc3IPgUv6jRyUAuu4ZhhDzZRuWArIRwL3C9wOlkhEyqKKidPAPL2zW/m3Bx6/Fzbraa6gY0GiMxnaV482QpA+rHOx77PiRzYHj1G+43X2k9Z6wbwdm08f+WwAQZ8IxhAJjkfu+foq+x+WVpBBDpEYqRBnjrzvXdlvrStfqUbLlbsMa6lPL77B+CnK3fm4Aa1mimvjSOr+Aimbka1gd/KVh0px8O47Gb1hjJ+AR1j33fOnkztrg1H4u9Wut1gnWvp63X0i5uegl0Xuz/p5doKfGE5DN3JNuon3aKPljSMh+1B4dnjKiq//MPrW/4B01nn+vSUA/NJV5jP3RMu995lOpXF+hVNXpV+5b3y6v3eQMCftP0Pr6l14zL1OlAGbVRuk9ESFIqOUTQo18AIUw5LuzNylCRQTLEgjF3rWqajj8sINAvbHVBvOVgjc90ifOtaRX+sf2QkXAcTNkOJdnbTtUnKLT26imv9HrP+7b/9t9+VFM0Y2zDlgp1bhtmxUDrAcwEa2hO0GpZmttyvTPvGSMnGr78Fhh0Tx7R9xCNoV0Wkj0oM91mZy5yMliI/AY8a0rVmFHfuoro///M//8G/+Bf/4gvoePl+vPerv/qrb/8V6OtbS/L9LlouG7W5s4nZ/vuu7/quDz772c9+8IM/+IPvgC5nq9F2QHg8M2MN6Hlcz+bTRlPKlPE1edSnCwRq7KwxvE4Y2poPZVgN/qCnVtpX0deQt8KhtO48kCt9qKK7WSrnG1MDZPi64+uanzqETwoaza7jyIhUju/rGkZjsJOrtbuqRwqSOfTl4xqAfr6laKXlU1SfXHP20WS8Oh5fsGcArc4pvilooTs6H3XUlXgJcpH1GWVy/S3f8i1vvD1ZmVM7HScibAMKZc3GYldR/RakoJcsY9l/y57Mod1upHNkBCTv2thdmyMMkHXX0ZZio0XpDkSYkzp1a8tsyOqUj9rK46+CPf6rs3GBQQOs9LXNXQTbAP06lk/X6j0de6uNujESW4NvnEvHOb87qOJnlVPKSEf/gmO8tO99xJtsgv5fmrJnlr388i//8ht/y0CU9q3ewNtozW4DiDZalLm1A/UyhePn2ZiNAz/sHPMD6+x+njJQoF0bXrke8FzbOatu4JCQ6/VvYxvPD8zuePOxa1lnid87P53f6pvqb4AYLpus3fLjnVsdR5deerq3ZVs+l+es1aRXjFVWym7Dnrgwvlr5pXH2UVTWPu/z3tnNBkMFhNxr9JgO2e/ry36bjtxLQHqvybXKKzzbHf8bJDHWBjn6u3EPA6iqKU2emn73uI1r12FbbBhEDmvr/V4Mbr4EAJeFHm4xv+Nx/Ncgzz6rZpSk2D0me626LDbbPapnuq63Lz7AaD6Z233onI5n/zf5dLOvxubxhnB9g27OQfPaVe1VVrrz0mPh5fGgSpS9yGIzowLr8NvO95jL6ZnZE/f4rx8+acSa541v9F7lwvd///e/c1Txpnmq7rYHzg3Y0x9+h3kEqvWZv0WulDmzNZ0Dc11s08Bk//vYyo+VFLd89R5j0jpwa1RrgH1GMAaLMmEsusC9hrcMUtDXjIxszSa4a21v9kNNeSOkiG5N4vok2smQEg5CgyZXCE1Q6/g9zudG3Kuwpjy+7/u+781QzgjPMZqxnGLpc0AZmjoZFE2NSqNn+kn40b+KAy0ZINHTPqO0SqQl3MZxS8veMV92EsYHvVd5rht/mWdOG7DWtVHmplFB1y5A2rNyBzSvQ1CnHsjZur8p3QHwljw+BUPce0azG5ehxZTwFNJeLUHl1Ivw+32flSx2p0DjJS8ym0CWHV3Np8dQMfR16iYfXWcKRKA53qjTx+iUjykl38k0ftOqvC6Aw2v4qtvCcxRbCt6SpAZiRDKbyTB+FQDGX6OFXlW2rxxZwKV8VXo0o1S6lGfct9fGV3j5gsDr3FY3NuuBvjfK7F7WsquK6RKQ6ZvqaHQCxsiHexgD+QZk6BabLAGhO0d0fiB8xnhgFMCfYy2rK1Iv4HXvbzNB+nryMfkbD8yRnc6cwZYd5sjQW310EBk0L9VTzWBw2tBXqfQrp3SA2u7w5RX8++TQlj/8foMa/b2Zl6vPmvnp7scC042ma3V06OICcjLQ5SO1jbJU+tFgWQG8PniEzxxBgcwGVW5g/VZKXDtT/seX+77NyZS7A3au2bluQE0QSHC49pU+G58ua2jZ0Ph649Eny1j2AsYBWjanwXr9qM6ufVPiim8BYdlCvxWfoLt5brChrxuAbsYFDwnSk7vql+oF/NU5gjv8VntaXqqc1CG+814sMbrLUsJsO69L0PZZBY4AW3FU93KQESvOlK3Sd4EOtC5/V4dzsMx39XPlvkHw2ozOyW0NasGz040ybLASHjPvPpvbOi2dBzKE1qMhmtF9AoB4EQ/ud5WU1XPVJ3SDwCLa1sFkI5XpNsNZXaj/5ZGr18g3WtWHaSCivPvFWufpJkkuL3d/Hbhy956dahDENVvBUBp7ffazn33X/41xPDSbuoAuXpVsaQLLffuowtKPj4S3/EePCYSoRLyPgHt6Ik31CRpcWWlA4WNbU6s89WY4MSpmKWht1PN63iZgTYQLeOlzAQHkRjEbPUeMRslEe0ZgzzhFrE6QMmXKjhPSMmFR2ZZAuB5mxNAmSj/9xsGpI/C+CNy3fdu3vTm1GGoMMmDkWZIiL70f5rgAnBGoEVmr0w20AiP9T2vGTN8LDMu4lNHTdQriLvDXr2aE92pWvk7wU986FzWWNeyA8FO/XM/7lMBeDER5maItwGwmotG+9XuAY1H0gY4asSrgOmu+c+xb/mNc1ltTQMqbObWWA1iTxUHduXsXAPI/I+HYC+4LcipLF2wwGvqpwuIGcl4pLsbGUoCWwZd/GkEsPesEtSy5j+aoU3tLZ4zbGIzNGBosquy1T6VHS6DqEKFfW+lywfZTBuzJka3xuDQ2VzLC5WfZbQESQYA6573PdWrRvzLtOuNPa6pV1ljasXM8LkNAgw7bsXZcrxzIrgLZdcTnzE7Wuq6QU7J+A7Qyj+svvQpcX31zgXoznJevC4KsRfMsRXyEl3te9c+dM/d60plXLss/eP1WMbQEv3ZNMAKgrC4vX9MV5AB/s6loV6f5Oql0lKUWsuzG7Fp47ylIWX6/cuQ387nrz5aO5xb08Bzya0PQ2T1khAr02xdBGI4CXhPQbvapMtL1grJ+7t/gG1zjGnUSBH+U1nOaW7mEfgXHnaun4MFa8UxxFbm75ceds9rp6oQG8t5nA8h5ndo1AdZWI3ln2xr0ZRtV1w3cy2rRHcZZPU5P+t4NCMnFWvFhdcWTvBb73WMdL/BUvVI9/z6w7147V7CvSwfWZ7i3L5k2+omOQo/aVHqZLqkM4u0blOhv5QO8AMPQVWhV3uRotzLkljvf16VVM7ENEqH1dWjNzU2A3DlB+yf93Kav5Noc0ReWGNQ21F63z4LTX/mhzDt/15zNGY0WRDYm5+93+t+48QCbh9aCHnWuu3aXD1fb0gqI9wXKLi9Xjp9wy0fm1FoHuAGv0zYgoLhE3gxAZqnAoJ1rto0SEEnyn41ARAEYhT4DcfdpdtXOcGX8TfRedaRuVICwi1bcbdS7sQtl6p4AN2V/S3gI0EqqlLPVeelEtv3QD/3QW3nqSgoom2VqV06w82eMMcarNXXNxjTS9lRu1scmNAtR8N/IvXnHyEq1ez3HoKPr45cGP6rk3BfgKlgicBR9gwqcMAKpDKNOx/6fsA8QiMBq1xD5zXq/Rb0Wgfe/DI8oo/sXLJsf5VMLVqyEZPzdR4sYC0XdAMHegf41O3ibQwZwfaFoGFn3JycUTZVut4cHjAAA86gBhZXlGmuOEGej/L0IuoqH2yoLDRQ02s4YcETRm8Ft9F95jbJXgMwjBMg8fdLodsFdwR++usD3Bifq0NIXrejY8ZwK1Rvl0waX8Eb50nxcw+z/OrpksMFEfdVfslhncTxvHLKQ7mneb5ADf+IFfRB9vo96uWuiyMTkc/rSIzN27PhzWbA5qa0IGG8oyV/mYHSVbZ2cdRfa8smauRas8jL3nE7noD1g22DVNcz0g7YxTXcrUbwAkW66c/R0/ScHusC0811njx6/5b83OGE+a1urY+3Cj/61Z9cBMn/ufbOBxuWxLKPRnI2u262jVbuBP3vfa0t7D/O5sa/6Bu741m/91ndzUhnt9fzezVPIQecLfczPeNrYZ8uVGXfjueqz9bHncIQF5MoXkwe6StBH9uRmOp+CtWRYAKObgbU16MUBJHOynZfmd1mQDCc6GtcaetaWonuXtVVvNRBMPvDK+oY3JBPcly7z+KU+p9l1VQ+6Bn7etTdeMjQd2WBYdd5dHtVgNPvXTCEMR+52bUsGypMNFN9WO+Sek6v1ZXNl2UftkTmozevzZPVp12bb0bvBEr/dYJ+Gz26ws45wZdrcqvips3WDDk/Bj+qXBq5bNUePFt8ab7EuGt2KhDvW0us6tdfBFXihj5TZ72UX4QbNjc0TShb8rf75385joywLUOnWDL2Ex+wlG9ZgvtZ5qB7lfMPQ8IyKr2ZpYU+4objp2qjS8BUffaRratspyq0RIcwOYDXCUSdkQobIIvaYVJkCZ7SKgADa3OQK+CVK1yKUMeuwMcycUEZYFMN5zWBhMEQ3aUDQDDIwsOO6Yxxw5lzXKaDVVuq6/3YeozVHds+YBNgoPNk2zFKhulmkbjyw32qwHLex1sktExY0ceTNxwXTl+4EUyRb5q67EJYu7u96BLP82KihTF2Novty0CbIe0zSD/zAD7x7ltcATmn0BI42D5///OfftlEXVUTPNXMg6ta1SzueoznHrhlHPDR+tZCfjDXSdSNedcA5TsZbEASEr/8thTYXqhi6prn8dAMgVXoN+jAwlZ1bzWH32adrFKj7H+/VmLQsrEBnDeBs2RN+IY93o7nKXTewIhvNXl2dWAezznSjnEBX1wAWrHe9Y/naPRqMK19Wh1XxG2ud8XvdynRlBKilA0b3rQv0LGr0xosNmpm/G4FFcw5j118DmTYEmsO6PgxsqmbQ78qJwBweQDvzLtItQr0mGGte6fVuRENP1Plp5H73x+uuAahVf+58JdQasDpdYxO9tY3/ZjobpKjDex1n9PW9/1VfN9BaUPeUNe2GaAJWzUDhbfe+979BHrS7Tm15c3S2c+3eVYTVPtae6YPz25/yl37V9uibR06tLVBp85XqBECxWek68A0g1eYKWAi605FbStRg1g2Au45SWEFR9OBsdI6NWSCSjBVUX3kvwG4Ao3xRHdXAtucc21TOI6GubmSP6zSVL8s3N+hCDwtQ1Ukrz5kX9rjBFBhMiTZ6c3g1Y+48F3O4LjnqmlC0rNxWBujHBiMub17gLsMmsNNj3KMydFsdRDQUtJszgz8bdIC1d4+Nzzpsy07IgUqXNWumG8gvn5kHGNE83+U6jr1OcXHHDTB17v2/4zcOc1Ab2GqkBnod26QLeXza7b3B/Db9vxheP/CWezmn+tGjN9kOtLE5qb7PtlkrrXJz/PKf//N/fpcIhN9b/VKaV5brzJbG9IjgR+1NlzpUTurQVr/VNqJx7cW9Nz6/uOUjLz9uNrACa5IakWrkuIpURMvk3qhbj6mRB7TqwCFYjebbwLLou5Gags5mUVtGQjB3TgGeMet3I0EFnpgYw7qO9RE2mip9em6F1vbdGHyMNHD5W7/1W1+g8NCcIsBkxlanVv/c95ZzaleJ9vw64ebkBhTcBw0uKNHnG7Gr01TAVv7RKqR1FnqdG/1b5meKYOBp/21d6wTzn/2zf/buntcoaJuHZY8aHew5a4S7G08wil1/ALTWce3O2PjLmiXvlEYVf2WpPLTxVk6UV3UOq2yd08BUQU4DIE+gu3NRBVXeYFh7T3NbOpa2eKnrc3t8FSKe4JyUJnX2nqKFlL0xtOyKgr067fL81WntzxMwL4jCL71+dQkjp90M25Wh0v9VxLM0v2AJ8LGDt2yK+b10FagCCrr+srS8pZuVT3R3XDOLjD6aNOiiL7UZ7u3dtdG1AaP2pbLRAGiDCGyK6+IlfLQG/JfWgrIDIDYcajDK+5WDykn5//72dGzn/zqblyf739qVgX5+pSd7j6uP60DX0RUA2IvdLuh9kq/SqMc80awy5/jdc3PkET94rjxZZ7g8avzlL3JaOgl2eKGpIAbeJv9kugEIY3gqta3t6+N5Ojflg6dgwwWV1RsdY3WBR391g6snPmipJJCr1U6UPxuYuPix8/LE48VDa3BeMWrlvXYYrzn+yn0DkE88eHnuytmr1jkRSPOYycrB09w83be/N8C9ubIbvMBzs9B4soFdPHzHgt6ViWZDa2vqvAh2NDjRea8tgnuL3S/WuDyilZ+f9OMdi3vWib1BmFZK3Hnu5ye9+HRv46U3KmObe3SC441r8zFfYEE4T8iw18p/+S//5V2VQfHKxfJ0TNfQlg4tO+6a9NpR/cNffXJN/avK73Vki6duX4sjPrbyY86oSV9HZHU2OJkrTpsJNjBM2WcCltBdD9toaBlFxsNgLXY2QZ2URgr0H5DoutlGJBGwCh3IupPut67HWmsUaNcEYhzXXciuYa4y2P+cGOV7KzfaTryMCWavU2t+KKM6KRfobWw3atWoZIFWwYzxmhMG2rGuQ9Hduew8u0ZpWMfsHcN+6DzXmXLf8kyjTu3n/vulX/qltxLinTMF8N3f/d1vGdt/8A/+wbs+XyXoXTahwZdrXPClkmxl2esTRaRcWnRcqTJnFXjZf3ZtHNhT9gQYcKB3jiBQAxu7R0u8ZAyadbilfM1yOK/8QT4mw1U2pXEdsIIycuSZa0/tyVCb82a9r5PaPnReCkjog5bRU8TGj0bmuE5lFS+a1Jg+Ae0LDMv/16lthv5mbZ+MYtdC9n5PBqOg+l6vsoY++218aodGjxKrIXMueu5dwNCOxK7Vtc79vMZoo2sB/KoaCqbRuLxffYyX0cij3NaUHwNKXWZS3VMAUKAjS1uQX31UflARMmepdEYvO+I289Gg3CuH0XF9x5t035WF9q1OUOnVa7tGr9/ATa9ffn7i0cpvgWJ/2zyOxzx7kTxeHkUT92LjKnd44/a1srbGebXj92/8xm+8/ddMj+Pq0F6d2eCTe/V/55IrQUvLt9b2m2Uare6pDN9lC/RSK0IsF2Hr6wR2HjqnDTZcp7e/0ZV2jx7NlDa2bLNNBh3emu1syWWdmjo2peHVwcVg5Y32df95/NTOs/uvezU588r52LGy5MW7+LXLERrgwKPXqb2Oae3EdarGCzZubAnwk517aher6rOScUEVWX/zKyiidL46sEHSBkHMlSUg5qpLeNAOvr7ltPUP0A9Gdv06WNVh+Ky0qL17opFrsjU3qN0KCS/8fysSSqMG4YqBnmyt49mwNbSAGc0TfKt/O84cTW9akvh/niUHdINse/H7E0bWh+6G3OWfmmvSobc6sXvr3AD75Z+Ln9CM7wBHfyxO7YhHGdVz92gVQEV0XUTBRGGSKq0+cgRBtTIkopgUu36ZnClZO3YqTR4T2i5b9KuCVEf2RpwwhG3Jm/Exlq7dq0HtgnkTPQMwprNZQdt12isADMbeLQLf+8a2MW8Hx5UgV7A4fowkY1ent8a9/WjJqfmo0+56dYQxX4X/KkDj0rcLGmvM7utG5lr2WMNxHWnCYi3dzvmJn/iJD37mZ37mbY62rlWwwU6o11je+RDttHERg+GYp53fzOGCEcuyr8xtu7B2l+4qUqX5/vNokgG+gvhmYJXGM9q2pbc7NCNRJYUXG2TpHDU6WQW4aze6qv/492adKit7bewrKS1dGb4nQ12g0H4AFfSO6OHdkp8OQifgkvLdO91GbvFvje8FLgDNddjIWcEA4wLkoV+diwt0Oob+Vvo0qHAd2BqNfn/VAMEC2IEe/L6S2Qb3rvN0QTga1wi3FPsa7Waruy8Bftx/k+M65w3UtUSwGS8G2HpD43OfZlv9J+O8c0pj+nWtQVT6sAGVObOj2XZY7xzt/13Xo7Hwrse0dH1qs1UFcc6p/it/lEf02Rqo8lIdiu58bklQ57dBHX2qrrjBQ8egVcvQOk/KVxdslKWlE6of1+pQ6vu935UjtDJvzb7Uidij3QQDZxvqBBck1rktLXpPNrZ2D+3YEHPfAGcxE52OJ+sgyCR2/wX82r4UaF894X+yXKet82SubKoIZ1lLq6T/VdBj15rN230WsNj5G5fNP9ET7miA5j6mxbj16fL6dWy7dnd9bRVKdbW5uXjj2r7iHf2GRft4pup0/EdG8IX/6R8vy9QWADDOytINVF2aV76Lq2BT191vs8P4DV68G6LewFn72wCk4FxLdmGaW8ZbO1v9UlmThKIPG7wSnOxeP/DBePNmgYtNVT7eLGZ5HS5oUEMJt6dOlM4NatY57PVvEKxzVlqg8S3txrf7zG6ONluiaGO4//DhXgSCtfpBL5CJVnJ0oy02wvVm//FrdVMfhwcTSr60Oqt4oHJWeeMftuETicePzandhRn5CgomrZNIqTdzx2AAd80eahfclVlu9NgEmWCRHMdhkt5Hn5vtQlyfXbfXbPSjTp7JKfCsg4c5W/ZRI2N8VxlpO9eD2zXgbvecU7tMRulYEG6DAOtaLgDp8TX02i1tRUt0co6oFxBa8FOH50avnyJbbVV2zSYW1Nz5a5aytN7vCy4IOjCqo9GMrdbrUaZ24DZejwopr+3V6BTFQgl5xtvmawCWMJOXOm7XSa9zg/+6/qnGGm/XGaSMjKOGwqv3Jbs1qNdIFoRcelehd849e9SzdUvzAsQnXuixzbTiHfyAZsBFeafG1fz00UZX+bbMrA7LXgzFlWNjd+8CVvLQY+owmMcGLFotUWeydLsGxPzfQNM990ne8PHmx5rAzZco//jYGrXOVYFgx1V9VFB3gXczNQ2IVKZKlwJ8oAOAqt6wttbY8S093X6Yy+q26iFy4hr32DoIAz97DWSU5tVJO3a6BNDcf7InLaOuPrrBvxuEe9J97mW9fitB0LT66GaLr9Pos+Mqg5WTq7/qLAGXo5EqlFZi3KBlq44qB7XLpcP7gGdlxW/j79nTXa/PMmbrG+y+zuLT/Yp9LnAnZ8Azenazpe7O3v6bu9qmgt/OW3nnjvfqjkuXykv3YQA2L267Tq17rsEgWyO/KqlixuqGBgId478mE0rT6zzcAAM69Zm17X9tpbnUD/+Rn8oYJ6AB29KiTm1xVeWjNsdcexSZpRaOrVzCcK9a9Zo+GeP0OhrCIQJo1Qv2nRDAd1/2qH0yDxdnlt+b7KitQ8sbRFJi282N/N7r4q86auh8g3Cl8/1+9RQ73L4qt2+r3bp8dGXN9/5nHm9Qv5jw8n35azTyeLwv//Ivf6dLr291MZVrNANuP4quza8cm+NuktcKFLYEPe+9q6f7GxpX1opdrtP7kZYf21GyjmKjZwDVXeske4uYBUR1nEy0QV9DpBU0SpMXnDRCp8lGrR9dtF9BkrVShiEC17VknUgMXaJf4MWhHf26I2JBUw1klZFdQEubvZZx2BiWCfjc5z73BU7JmvEwjDveeHufAiPXbkSsIJMAOPaeQ8juOCizznGNWOdZq5Nbw1bjcI1OadpzCiBnMPZ/o1Oyqlr5gXAvojnFgTbAx3U2bmRPlsczYz1eZI5dy7YIcZVOnaHKCx67O/TWQW4AB+jZeMd/gjSMSUvl3FcWghwXANXhcJ0qWjLVLBTjN8DeZ+e+mvOn1nm+xrV8IjBQUFlgU7DGCXoyeOa0/SyAqp5qH2rkOw8dX4NsWufyOrWNmOtfaVGH9YK78mWDb6VpgQDQajMmmy7NWA74T5dYPqJ17tuPzifZvU4YWumzuaI/zZlABIBdsCGaK2JsszNGuvOq2uEC4IKSgkf9xEc3yFCwgqcm23aeLAi69ObILNhGj3bpTula4HQBMt7s/w0C0iVsI6DYnSnRvM6+c8qnVxcUnHd+q7ueHFpVKZxa6zKfnPLSAY/V7tSGPOmQ4odW8RRwjharhtn7Zz7zmXfB4vJmeeE6cU92z1iUl9eRA1a7w32ziHdpATpUv9DrpUF55wLHq7uuQ3uPYQOscSZHsnVPdvbyif9nhxYsWDaJzr1lqMoZC3L3vRtDFn9Uz3Q8nSvXxasy83QsOpd/yFOv457ovlaHtrr9BneebFttC/29Pq1yzHpaFROVOfz/viBCHXC8YOzdzGkBt2JdAZwdY/ft9Y291s/ruKIz51eT4KBb2j+2d59hElgELlkfjPNuLtV5kCwqjUoPtKid73j6qk1pxlkAcq9XfF55vXLUV88tpqh+qb9U2lW3ows6/e/Z2KnVlE1Y9CXryl72cXt+c35luUsc0Ofq+KcxdW78prWfDVi/WtrwkZUfF/BTPMBDlTeGuYaJsjagp1LHMu2TIHlxNNeHgWXrNhBYZhlhC4hkq0yu3b0axdZHwnZLpa8Dr7+yqxyalZ9NUbVUkjJ7X7RtzbrZOVSMy4Rqmxst4rlrDxApZa3x3G8yU7t/n+3YEmPOHcD3BJT080loK2wi2+Zw96YQCyb08fIBXihdqpDRWP9lQq9j3H5XWc1Y4Nk1z/gbmNH2aIfx0hzQ7dS70qmVeO+7NYUFrNYdvopsb2y7z8puV4K8d3zL8S1Q37EUsF2vOdgDgOgIWGjN5uJrfLtrjof2/hQdx5OuQWl5ri3Z0ZcLdMmm9VNVRpSyB4PTAQ0k1BhVEXZ8l/+AQY8nwEuimpVhcuwaTxkQuo0y3XGezXoNUQEJPtf/6kfBJuc1E9UlDe1T5/GCULQs3es4OKfZB4C9cnNbDQzQN15bXwR1Bkb32hhksYxViXtl1VgAYiDNPKh8eOoT+VTKj1+UPOKd0mzjk4mx+RKwJMik9BG90bC8vDFUd7aMy/j8B5SgwWwk/W9H2Gbf6ggUlG/9nPPYM0tNqsvKX1cGtepq/AJwdl4aYUdf9HsCJ1f31wm68nmP6+Yhvd+///f//q1Kxn4TxlcdwK75XL3XObmOWpu5aoDnyu2aAPSP/MiPfPD93//9b6V9ZJUteQpEV46qn66OgYnYxJascihKzzqL1emljeteAFnn2TG3LzeA9sQXxqFvSsY5mLDH1dXtCzmxm7kA83XEtW4EumPZXdd6ugca+d8cK5X0CBPHd81/+3CrfzjF7IPqFYEhDlXn6JVT9aTvKyPTH5OH9e0mKlzj8vQXa7cve6eTp3eMpY5lA/LdiVfT74s3JG3weB3Ji1fgH3gDPZuZ7aZtNrYyX62eK35wzwaIzOPFO+a9stpNPmFG8zB9NV1123Wma/Mrb3QxHkMrurqPWrrn+6/jpq9Hp8nVV37lV77NAb+hux+bQ9iuGEmmVna2Zd/Fis41f03eoNlT0ONJXusse11nVnCn+7x85OXHA9kFLi0JWCdbrjci7jfOFII2ItyIVgd9f3sV6XDNNcqnO82WyJ49WOfZNfqg6Qs6ulPhU9SXMTZJlP/oNcXNYFPKxnwV0hMDABh3LNa67fc5t3OU5rRY79goTPtdsFvm0p9GjUoDzskFDxdAiDAVUDm2c7lGwJ/mH41uNLKOl/HUKWnU0JhK72YDBGNkd7S/+Tf/5ptyEPigZC3Cx794vUJ8+ZkS2vU2R5u3rl81JrS7jhf+0398he8aKaWcGhSy6UPXydx1os51rTqjO1Y0lbKhDMmaKHzH07mgAzZ2a2kZtMsT17G9vIM/0OvJwfTb/i+tS986lgIbrnsrC3r/KuPbyvfo+iQrPtMbPb+vayD1+zoadWp9v4ZF315FPPUXr+24yYR9CDZ/4//dA/AaQKVfWrlAB8hYysqs7bs1/h1PdXFBaYMoru+6HsWFT63Bsl68jw6q/FtXikYFfQ2Q0aGlsawC+1cbaBMRY26pY+ePjSAj5o59tS7NMp87jtK5QKp6u3LTAHH3u2jgSYnhU6lpgUcdo/LV5ctmCO7O7vTtghMD1bJmHV8DRM3edY7QoPftMW1+u6Vx1Rvoujab+pu/+ZtvfLUgZyufql/xEv4q/3YTlaf70tfltcrtK1xk3p/sb8s4u2SqdCgv1rF4cmjrhJvXC/pLt0vziynWv+GU0XFz7zFe106v1QmxpKD6xRxwrjlGeKKt+y7sPEGr6aFuvtgghKCkfuhL9yhpIoQjdjHcdbKr19Fvn+2bATffAEdt9A3u3PvdgMfVBxyiJUToBDyIj9afrq3vvJTfXdO5N8BSHXftKltXZ1OSpZlY9zXPO7f8zcbUqTWXxbCVwavPngI7o5FKyWGXJ91yMUfxteNb/VjZKL4QTGi22/nXCSQLllt2vv9UHivZKibLGB3bbKvvTe556UfHVzo1YHllqP0it+Wn2hHX2GdVjDvmJhM/Uqd2N/BoER1kKCkXzL3/17E+3+gqLMqoL/fBLN6fIl/+u+DcRO2lhKKOUI2uVofTBOhvS48LHC8wulFQTu1ohgGv8n+llDRKj1FxvzkpA5l733osmbiCRAalQl2BLqgqrWvo77iu4rhBBmOvk/80d1dYe53OI5r32jc7U0X5FAwhEDue8nMspdls0V/4C3/hC3al5MA2Y9Ly5YL2e39lPZurKcUC6tK7kbCCGsayRq7Pv21EUGt0jVPbyFsNdPvq+gUFBZPX4JuPAnR9KT12nk16Jo/Ou8bB8X1v67y1vwXe+EC/rjPQoAeQ1TkAoJ76deWhhqf6pUGV+2pfrtxcYH5/f3VcDUPnqA5HP79vbNUJynllZadjbBYz56vPEG854mjarBzZalRXQEufW6lhjNUfNcQASM8RaNoxlc06foIp5qj3q/F2/Qui0VX1zz4LjjbzIysOUFS3GG/ltE7mZLuZgLvxTwFCx3+dH63BgmYEyIfAY/WFjK6+19G6AcWCrfKWY4GrZv1k3GWy7/rMjrHAqnJXzFB92Tl8kq1mx/x+Hem1BW5mV7dM5FOf+tQ73dkSSbqlWKEy3gBay//vfBpfx10wfvvW8TzZzAa1a6t7rn41c21uC+4b2GELyxOvgmTtYz/vetMjMnoNEjR4W7ujsqzOY8ffexjznWN23ng2n+M7WVY6CS3MVW1lbWezWM0yus91IIuxSn9jtNxjerU65Ulfl0detTpXd97rhM1hs7cIPQ+rSpDc9dp1xMpjxc7Oa3D36uvL2/Qz2vaadeSaxKotr8xczOr96rLimTqzdQZtaMjZfMLs7nnn+IvZ/Nqh6lI6trrt3vsGeOro/tF5DJUnbDzh/wbjyWB10e3rGr1RfXEd2ld0erLx9xoSKQ3OfSxO7UDMIju23LdD1ppJ2G+A5ppoM+LLWALqwEOVTgdbhddW5vXuOi1pJowXRJvo9xFfE33bcYj9ijmBQQ7tttqeEbfzZyNUr5z49lPQAMMDiTJMW6OydbWbmzm1uw+nB4M34tUsdTMGdUr0Zb81itsxK40xloLrggrAp9euserxBEvJJyV1M1V4rWCxSrxBjX0eT9rh1tb+dsl17QqNII372Qp/15ax3TU90kYZFcBtvLu2LO1KlznKSpXx7F7dQt9jmjZ3m1+8v/7vWvt/UW4RVv1qq2NraUBBj+s3K1gjUvBVwFoAoN+ll2vU2d7Lo4xWym3euhPrnYOe+6p1cwhyac5arnYrLQCrGpxuBucRMJVDMtTt9xuMuaU3pcUFm0/tAtSW6j+BUnK81iBPy0vr/Pbctgt6C9Y9sF1Z0njRYzymc1oa22BRI7fVG43s2tnxynn5pmMsL3tZ80OXGM/+G1+Wd1ux0nEXsLYPG+OuQa5b6scRNM41TtscobXRho5qkKRAQJ8ACdf0KA8Zm8nN+FVmmn0rwDOmO7f3vfqp/MXGtlzefLHnBX2AR52f2tOWvHU3To+H2mu8VblFW/NWh4I8NqNrXF3+0yBuWx2V64i9coKn8+dkrJ8F0pz+uxyjtEbjgvOOoUGRBtsvmGzfbpZDe+V4Xae4rwYtzGd5mk1oMF2FRKudnvhOI/u1Jfs8+zlbOL5uZpLe6+ND8LrrwUMX6KLTTaCgCRkTkO4SmclqHXbzdPFh18+22qllm3Xc6KUb8Fnrfhj7bLdjj/m6uJS8NpBbWS0d9lsfZ3SDG8XEk0N6rzhThRn91KUyXWqyY2C8y7d1bNtu0Ld4vYGGOqDmnx2uTqvP0M/lg8o/B09FTYNuqm38P13MqWVTnjBJdanx1672PLJ18f8aTMbu1jFt0KRyfwNqT4GPBt7e53hW55d2dHp9Ad9v5UZx0VOgofNaWbsVPfTPXaf9kTq1yzTthntUwW5ivdNeM7iNzAMcwE7Ln/YuakDo1nactVQE90Yer8NbgA6cuteOsUlIidtr6AOl8eQAd3I7sWXOOlq2j5+S8hiMrg1wTX0p4/cdM07pKvNshHBjWwngHOcpxd/+7d9+W7NISUjhKyso0K2hoUgaEKB4LvBxTpV/BcXnOhjOa/ajESKR2NKa4rrr0bq5Uq9VJanPFr7PiG4t4Ha2nMKa87/x2mFw1+Bwrlksr4+cGTzrvPVn1xb1xcsUL55kHBgZvGuM5rfO/t2cDDCvodi90brRa3xzQewFr3WqAW9gp/No3lQa3HKtGnjzbJMCx3zDN3zDW8bjOlBXHjrXFzTVYNUwK5vUfzxC99j+vyVoylPNlde+m48GnhhfvHedRoaxhqIGt/Rvq9FqAKiORA3LdWB7bv+rYbl9eWrtF77bdTzuCn2AQc+pNAeeHwtotR94g5yuCdw06NFG19mBE6DB92sFN2QYUN0x9DFA0uAOHVPg6x47bw7N5VF86VEP17nz+DhrnjqP2lMEvnwpkFh+suP0AmN2ngb8+9zGG6C4NgYd68B0rsrTvc7lJdf0js4Nuq7PSrE99oVdHJ0aUNSurmIz6cYeX1Bojm7lxpWz3qPOYm14A7DoZN7oSMCSXXB+bZD+NGvFDrMlzd4671aCNUh4Heb+X4Db+97AGB3SfRJaOmg8vQa+6CPq9LP66jbHbf+PtvHr+HgBzumQljr7zKZdu0Y+yH6riy6IJ+/OQ++7jOzKQEF8g1AtISUjDbSxg9XplcEbxMBTk5Mlimxiab6enJQ6zILaba1Kc51rx3w3x+PF6XmYAy7wyD/BYzRW3toERIMKxSnNBhqTQMBTMKSBOkEO57QkuYFzfarz7HP7VnxuCUSrRziyqlE3L9NVKsw8ceRJb137eu1GfQhB0utrVN7oSk8e2P2fru3zDZh/2elP+fZVoztb1l7+bzCOrNz9GGrrisV7Xu0KnbPxWj8L07Wa8FXg7H/aqW0E3M2rhOucekfYrhXkrBhkn1d2jep1+q7Dx/hV4ACrKroazOvUPTm1iI+YxlowfRUWI2i9yJSUtV+3HLG0KM1u4+B0g5kac+uVZQztWGo8dVLuvSlfAkbRXEe081D6dE6aWWpAoHSqkl/f0bPHVZHV8fW6wZAC5oKBPndr71PaC8bsetaoKeEdT6s4eBOKh7U53dSGQFP4opVociPlHZe+380lymctcasC6/Fd+0hRNiJ8o9iMArlodA+YMkfl5ZaUGFuV5Y2mGm8/r6+yTZXvJ0VVmehv/VxeFASofgGKWqJqDhnElrIx2nVsOTkFj46hzN0P77Z0vOe8CpC90m/XYSjYcu/r1Pb/J4f2lVG7+kef9btrW0TvZQI4sqOnHfFlsTqHN6JMp7R88zb8CmQBUcAWOcGLjkcbwVP8Z60tvdN5q65Bgzpq1w7UEbiOXAMlnWftRsldu1mgzqmdk+nE/TedX+dsreff+e29Wl5Xp/ZW49zIfm1F9cI9H2gEDrtpYrMjF/zUYetv15ltkKi/4dvK7G1fDNT1uHs8WshW0iHdi+M6tdXrvj85n2h88Ujp8BQcu/dqVvjiKe0pM9IApWvd8/dfz+kcvHJqHdsqMOPm2LKd+KY4jK5pnzhUrttWXFb6+kxeWxZONi6mqQOKr1ta3Llolc+a8xxbjOI3emrvwyZLgFim1nm9TnTbE5/7rY6Je/Z43+l5m1QNC62x2ddGVi6Lt8rjrWpAk+LvKysXF9ZeXX1Q3nya88vvV9/iYY5t1/nTVQJyEh6tDLjZUn3TnwY76rDe+amtf8JD67fnvm5OJAru+WheLPzUp7X25cnmwlL1cZ50ku91dmsTqj+99zqOadZ8L4HcjqHvH4tTq9xYZgpjPK1F4Czss8xXo8FrzWA2Wn4zCnXAyjQFqBccPEUzr6K+EdtOwnUEd//uSFfHr2BTBGjZU88+JQg3qtl+XSPxboI+BJIimhjPubIZ+32CuHKeRUBFKZVL7tz7WCJ0xUyNnlFczSCKZjNwjAPadAxPAB3YddzN9rZEGq32nwznXhQ/wSsNRf/3+6JrIo+79nat+63f+q2386wxxcPKYjXnNXhg7U8zNP5fhqhlW40mEva1rmkQ6GA8tX3ff+hQgEsplw/KOzeYgD8oxMngeKTBG+Abn1yeaFYc3zXrX6VWMFF5VG7WqolbHodHavz6+5N89Hfgcp/tIFsDpqxtfSkQdK86utfJqaxyXOvAko0aUHxzDYTrcgSc11Jd8tp1Xi3r4RTczHCP0efO2/uMQ2mLd8keXicTu96qdgTt7Cg8HsMbyvGAPrqdI8U5bUVDX3RBywTNz9Na3n2WLcFfLZ2TTdn3u4TE2MknXUR2y6doXHnv7o8qNzrvba7JTjbrh1/qSMro2bRrL5mDBiSbhb73rA5uNVWdWhUxF1x2zMbdsuMGWACTvS/qvpdyY/ez2+yV59psn+tAVy4vQL/7YZj/NnJWXNFr1J47vjqp6wqNR3DHvZuZunpQP/cdL3LkVJrg8ScZvmNpawD/gv86H14cc/dkX837XSbVYAVdWvz0qnWTy/ZZMGB2TlUMpwKPqU4QwMKDzkXr9sN7Zb+BhDq1xWzm37nm3QZvji0+qXw0oLD/uuts56M8p4po4x5WXJXdrjEcIjhH95QfngLht+06dZAbnC9f76XEdfcaxtzxsM50L7m4mMj1ZPav3qg8PuHdyvsrHqodwMOlg/tWd9WGonP1MHw+3SS7aHkZh3byDSfNzrWsfDhmxy1p1X6yK+UHmKr8Wdp9sbY+LFvrCRTdX6Gv0uJ/S5a7Mle/queUJ9v3BirZ684nfXDtQYOVvTZdcoNo8APd0qDtve/H4tSOqa3dBGg4PQwZ52ivHQfc9PmYnnvo9yfGRoyC3JYiKG/shDqnDmSjQI0W+G4i729aI211tApIOsmjy7/7d//uzYECcspABf+NLBWg3z6YVEDhZhGt7dy5+18Gt06NuWK0ZEAoLeUXhEfWCqNhypZlNmsqCLB2nWaAhJHYuT5zHBgbRr3ZnikQx7VvFOhoP0W0czbulelRwvv/537u594efbQgw4zGFJNdjwFYJY1r+FMDRqrwq6BH/73PKGz+KYYZ5N0T3zKG+98usOaw1+tzUzkvAiYXjDewcuUHr/b4no9nG6FWaVDQUxBj3q78CHLUWcN/e95jd898Amo1RA1W3GM6PooPrTlKO28GwWMnPIwcz7d0Tl+VFpEjytz4nhzqRhXbr67drSz03nVY6oDXODQDWIeZDFbxV7cUyFV33Xbn4BrGNfSw+/ra6LhAEH00+tpdu48oWf/Ikbnf8e7RqHcdcv3mjJJr4He/t0IFrWobyj92Ki3fcTpaieL7XhyN8oHjrozoN6e+oPnqcmC3lRCVI/yCDxr04EyNztNhuz8Hl6O/caFlZebqb58bZb/gyHgb8Gr/OUjG4lFLQJ9sh1030YrtqvPa3/XZ3gO+0/ulVW098P20jq8BqhvMeALVFzPgF0GTjcW6N/e+QePr1GrWYNZ2VuYbBKuct5+t0qjcl8edUzBp12k7TvuvO84WfJdvlJPX7pdeTwEc2dc7F/vNPgtkeLoBUAasZfvRq1k+sm3sZNi48Ak7ZA59L891DNVF1SMNFF/+gsnumFvN4Noq+VaWvePGR6sigy+GmyWCbqWUMa11nJe+XZqBF9/H62zessbNmMEclnOUVp3LymPvgycbYLj7f7QPXUdqvtlOY60OZw/13+NtGshpNlY1Yx+3ZomEzOh+hwE97sg4Nm9NQpTPu+SqctiAwnUgNf0tj+46/Kz6EYIe7tFg/B8efVn6ueedpxt0v7yCb+njG+S6j4CrX1Mbag4a+Kx86LPAuH492dGPzKkVJdtEU4rNMKyNOWp8NoAJ6AZhnW0JgMAUWSNaN5p7HVQTUTBwFWsjtlVYrnEF5ApOBepGPJup2We7120drWdCtQTmKcpXZqY0byPsT85016MxiIT8PmeqkZeCmI5//dZHtLvGsQCwWcQ7L6XXmigOoOa+NYjNADpfJK60rELjtHdjA0Zx/LdHM0w57HpTVDOkfQ7lLZcsP5X+wGojXcbyZ//sn31zpj//+c+/G5tzmn3Rd/RHy/IT3rk8UjCpVXmY/5Z6lv43C1AApU/kQ2bFdY210UgvoMfShDonmw/R52voqqiqeC8IepKHZhTMs/O6DlPpI6eggLNlVXWm8HbHob/m7IK66o4Gv6pXClo5tX7n1N7ve3XjKv/fYEX12dOr/32pDR+0OoO8e2zOdcyd5563nLsR653XMvr2sWCIwzg9V8dIAIMOKF/UiS2/NXhibmrQqw/NdTOrDfT4Tg663MGY0EKrEa+ObH9bbaRfBcTVtQ2EkIdW1/T8O4cFHLvGzbJU7xQgNnOLBpwewJDclVcb9KQP+7u+Gld1gznpfN7/q5cvcO41evxtxR+9R2258exdkFmgxfn0zO3r7cta6Xlp0mx1dU5t181Ka9feA5MC3O5Vm1lZ6eebZWkfjenS0znVn661hmazGw1+OPeeQzYEj+ggx7Wq4vI9nr68d/mh9KpO6BhUPr3ixyfsaK7o9P3XbL0Au6CgQJVA8cVU1adfrBXn9vjbZ+Nbn4bjF5DHH8M21ZV3uQTfgD4s/qhOqW5p0OZVhcjTWBrMdZ2bVby0p5+8BGTx3Zx5GfZuRlinUQa8j3/UJ2NCy+uHVEbKS50TdFpD6+HW9X8YCj+Uzq71yvn747NUq/KlVef0/76qh/pqsObatOodNoITLEBW3itPokWDqx+pU3sJcUtpWybRTNUGYmOLneOzZx7KEhn8XX+661msLmpksH0upug8hpCmrxOB0KIN16Hbi9Jea7SkEzdgbLOE/e+cfd+6iJW5rpxEtP8KIfrV6AHmjUxpu65MDYEE4kU+mu3g0Irotw99TtWaHWLLxNbGoXOjJlUiAhFVJFWcT0zYaJHWLFKF+kaEmrUpYFQdINpMKaPB6LUs7ZT02o7x3NZ93u/j2YKgnXODKxbDM+r6vv/3+6c//em3Tbt++qd/+t0agUaCd0wfbr5mrpptskMogRaVo5QpjgIZzhvgY7O1zsWOb5mZPtU5EtAAfkXVjINMGzs9QNYqkxwR1Riczp1v/OZkrX1rwKBjqJPWY0T8zG+DGwX+dqat425O7pgaPGg/zGdl1e/Vjx0H/bZ3NPeZ/rSMw7F4yDzcoNoNEGjli/b7yqDPF+xcQAYATO9xro3XvWXp9x+dDqiZW3NROuPdq6uV/por2Rtz1kh56Vcw1IoKARvghGO4z80GKiG7pfjGTd/WQdj/5NSY0AFIKs0Zdbs/o0fX2LtGwQKZFPxVQufRbgJ1yt4EH80pnmuQ4oKQ0qs2s8G0Ole+49E6tMqMy/u1ceWVOnTki754Cn5dPn6yJwWH3iun7wugXaceGLuBXpnPBkZl6vfaeZVP97zycwHntYnOZ9f0i814Aq1o2KCTzW+UXuqHIKBx6SPd6TotP+6xcNLVMXSYAJ45ri6r01C91uvTCQ1eoc+lY51ceAEWa4VX+UkApc67MbAHdBZMQdZuAAXO8nivBr+6zrzBTcfv/jcgNGeyjlttUGW880ffVZffIE15q/zjurPNeH+/D5dPx6i8bBCEft8x63sxjrlBK0FHtG6lCnrrPx1Zh7H9Nh68eXEqjIMP57g2U2vDz31fBtY1tqGl+8Ir+EJWtzQXnCUXT8Ge6qgGKtxjrY8M2n/r2wILu99o36VTnG8VS9VNX34ee3j70QBqdUbxRR1S/s76QZ4aHHNMg0T1DTy2TSBu5+5aArEXR5JHvFA+/1Kc2y/74y/hqNX7f9M3fdMXvdgn7ZP2SfukfdI+aZ+0T9r/G9qP/uiPfvADP/AD/0934/+v2ic0/1/fPqH5//r2Cc3/17ct61xV5Pvan2wF7iftk/ZJ+6R90j5pn7RP2iftk/ZJ+6R90j5p/y9qX1L58VLfa9/1Xd/1lh7+mq/5mg/++l//6x98z/d8zwff+Z3f+fKZU2tdu3DXi7R1vUjP1aSmbynG/V35gVfXQSp7ehv4eeaYcg+lUreUtqUxfuvaR8e0HKd9aHOfnb/NhVbat/c9S3UbBvz+7//+B7/yK7/ydux2X7vlly0TU07Q0ta7pqztrqPYdW/pp7LBlkY8lSneTZuUEbVkpyXeNvTxu/LnPlLlHqMs0L07Z5cmd/2Q0p+Vmig78czElqA6Z7Rf+2t/7a+9Ky1VqrzNG7bh0eZj7y3Bx79o0w03bilIS6Xw913LpmQEjVtq1Tm4n9sufz+VqCn5ahmYa5Z/OrbS+G4Ys9Y1uEpURnulbx51tXnY+vMf+7Efezvv7/29v/e2jkg5pWezWbKw3++aryeZv+3SrOXt9/l73XwM/buGruV+SqRailndUjlpX9v2vdfDRy0BvN9bHqe8avpjdN2GaEp7fuM3fuP/JjOuvzXma9///d//pstXbmWnUbtUdyOnbs7ivi3vXevu090Rs2ufy+vsgZL7u2lEyzu7/rklvkpx7RBffmCT6Gk24u7E6pE5+61l+y21rawoke1cKLXqGtX+trH9o3/0j96u833f931vNP/MZz7zBTsltzQM/4+mkwH09/gw80AHVe92rl7JBL68OqTlsXfpTq93l5rc67Q8tP/dUrceTybRtstM2OZbEqscu6WT2vjm7/ydv/PB13/91799H4+Ptxfl329bKrJnZ0+Xj97j/67XVF7aTVWexla93TLJbhLVNYRXHo27+rU0qb4rb17a97/eq2XjXRvf3e3v5l8tE27JLF0+fdPnvlsetPO2/ArN/6//6/96ZzPx+l2n2A2E2Lqri5/4724YhWbV89VP/Vx9Wx7sXN1S6JarX5vfZSjl75a5r5WPy1eOq97zXfn4K12zufi7f/fvvqP5D//wD7/x9TahwsNdIoHGT7Jc+tExWtfQ+p9OKhbqMhNPcbA88PJp8YXzLQ2p7a290Pokie4VQpbMP/zv1bL+Lj2p3LDtXRrTeZk+//t//++/ozn+Xqn4Xp72YLNSOMNn67FdW7v7QKCtvRr635UT/PTl5/E+5cduHrbvlgb0qQZdkuicrqPXLkbUf/0oTWsXYceuMbdPEPw5/LJ9ibZcbL7QdMp++/mf//l3vuj/tFNbId6NJzQzyt/+7d/+wdd93dc9GkXvBoZR+t81rK+MXq/lczeguGC9m4Z0japJ3n8ATInc9UYdR5W9cRKctjoHNtQh+FWu7rk+cLAmYBMGm2mV9u51HdkyUZ+lZce2bmjwBP5Lu86T+19wjxaY3f1rqFrbb7zdgKfPcZyjUqF1zW7CgIblgyfeRH8G3Joma2FtUHaNtzH3HpSJtYITdM+ynbICNJ/oSLE/ObV3x+Yq5a4RrfKpg1/jSUFfMIcmd3MOdKlsWXOk7zVcr0Cx4wvc0XWNkqqS7e54G481y722dfaj84yhnTFHaztB4qc7rhrFq3tqTLtWjaEvOOrarguYCgxLz+oeNABWLqB9mqeu36zTWH3YebtrFBn+XYccNlhy6XWNaI0jI8z41ggDK66Bbs4vn16nltG8oIhzTN7R19omcwAM0x36MJ1Jf9gdVbM+qU5CwdXllX3vmvCu96K7GrwhA2ggkNO1Uuhg8xe8wWmi6ytrxuJ/uxrTi3Z7xaMNBtaxra244+33/v7KqWU3npy5tqfg0pNM3t80/Oyz97tG2Fo7j2WrTLpmbf4aPT7dQs80cNa1gnsJon0xp7YAkyySLcdX/rSLdRq8arvOWOepfWqrM1VnSbC9+yWwjw3qN1h3gw94xg6x3WOia/rQHN3JsM20Gqjy3ZMwKqs3MO57QfDFkQX+lxcdo491Vhtwfkqw1FnquQ2cdk7vZlPW0nIk6KJu8rj/uteMtZrmzfeNfb+Ntu2DjTAFg+FNvL33yrPxPslP+fUGe8sP7k+3+Y89gkmri2/AoBjxJqGqh9DIOtfrR1Tf6VPta//r+m79cFxlyJzVQe69GlgUgPdIyepkNhVd2pfSua8mqi4uu46s47/iPDdbK660P4R9RTp/DRzvGnC0/taX6WfXKM336qZ2DbJVtxf37l3yqYmvK+sfye7H68QmbNnZObbLXhl8B4xZyihl1qtsyiBXmWgFmmW6GuYavTJLwZfmWo0AV0B7fYJUA/F0HgEEMjvxNW5VygWHBZKaYzv+HduHvheIylIQnptF1/e1OgWvjJf7mT//A7mlqzHUqLTP7RNDZww1aOhx516w4MnhqqKrU1WAf0FfN5Tp/YC6zonn6nHEO/dVdFUclYnKgnv0/wsQ35cJeOXY+72yVmepQRqgtUEcY77K2ufSp/3naHSzkNvv0rXZeQ2wBFbtitnIYVvliHNRw/zER40it5rgSU88gZ7S2Xg714JB1zm47WYBHHvHoDUY90rnkKXRqxnGG52+93zSZXijhqr8xYmt7mp0liw7p1Uk9xmxpV2jvJWL9gMtGEkG307M9Mwag1l+Y6Td36OCZPxucMT1OCz7r7q9vF7eeNINHSteL1/d6zzR6amPd06vXu7ctd1r1KG8gcmn+9z2Ph1WffGl/oduNvDq76/G7nqX5uae3enmXq0u6tjKw+jxSvc2yHjpUUBd/X/B9FO7oP2pPQUX+l95rGMXVEefbsTkOgXP+6wigoNqk5gGJC5t6JiC/6d53/38B2u5/w2smOM7vo75tqc5eArEXNpeh++20ptN/WK2/gaIimX9Vhv0lFC5meC1ObTD5TeRgr8bjDMu/a3TUQxbW1p70OsLuMGfkir9ny3U9yc63mcm04FerS5otUH7VgdYxcsNkNyKiPahvHbn9olX+r0Yvs4r3q89g1+aeKpdpXdq065jW3658/1/fLhhZmWkPL/Pgqi1Kb3O9bH0p5Wo/IGOsfP1Srdxwq8MNYj99Pisj/yRPhOaObQiyHfSNcQrUGqqvwMvsV4Z0BrZt45/6Og9NUy9dpmoQlLQ+8qw1JFtqars1DUAXlWCwFadvts39GVwtD62pMc2s9myqUaFFoVGDwxahXCVxd7vVvXtb/tgPmRfOZUyJBXGXsuuw3Vq/XczluUjn2sgmj1CM+f1kUpA5L7bwe4CvvISOu74RvD7EO7ysnaBbY3uVQTv41dK5ILmm7G+xvNVAKVjvP1xvl3+ymOOq6PRPlfp1RAYQwMulTEZ3o4H3yv35tQWTJZOfvN+jeR1QkvnynnHUQfxBuDQrtF3hkf/fW9JZPtCjtuvGqXrSN1gGpqSFaCh8jXe3u+y8PhEK/1qVC4v0ncCZZX98oVr1jDf5Qfl31YQlM92TispCkJuttXnBUJ67WY9OzedH30G4PQbn6FPaat/eMQY2i/9qG7Xrk2rnvMqX1w72ntcIN7vT47Vvd5Tu/d7n5P0xa5xZevp3k98/+S8NaD0pMPW8FlBP35ta8Ck8nsBXDOAGt6/tv6V86SvpUW/PwUr3tfc733zU9xROWm1Qe1VZdjTIjirfX67e2r0jCCk5QF03qVBkwOykKW3zw0q6N/tr2u0Xx37xZTVFZcXm11ucKF9uIHhV6083PtdR7g8d8daPUs/cCyfnJibiNAsI3mqUCpNO2aO4bLvzdLrO17oOC4Ok6HceRyS9YW+vP2szeW8XnrV4ZbVaym8R/IUT6h+wSv7jiZ2DNaf2qS1OvRP8vLF9Ggrm64OwUMNoLl/sW+DbPoID9BpN/Cjn6715S+eLtIK1GIb/XjCjOXRGzSo/1JdWh2Nnk/4luwqca5OnX9pycLH6tSOYHNq98wkUYgydyfwyantd4x1FcH7GKfHFzz7r0ThfDZSgbglao1gAeT975Yncw4LSp4cAv+VCTrOjvs6uWvNhtSIcmTr0HphPs8NRa8GB5qtvQDZPZ7AV4FpSy4oFY6m/zClPnFmvRc03gDE2lUwl75P4OBGxFoW023inxwftOVwN+tdZVX+qMHoq/Jx79HWCGbl4dL+ysiVn9Kt9KnctQ8dw1WQT9d8crILHp/GehWe8V6ggMYcWvR+mqN77pcC4l/pmld65M7d7YNzq0/u/fr5qU+v9Gfn7gZ3KsNP/AEIkOmnOddqUJ/46vLHk1y5ZisUbnDkKfBhnA2YOKZ649LLb0//FXjdrHerYurctK/Vib3PvW/n5pV8XkDdfl7efcXLT7JbHXh/7/+vdNCl2QUyXwy4vWpfDPh/Ke3q0KdA8ZXJJ3o+tWKA8si9xpOOfXp/mteO4VVfKo99v3La+79PH937PDkeT31AkwbSuyTj6R7lbfa7+uM6tU98CmcVD76iZ/nadQTQnuh5x9dgwOXN6oV7zr32vf5TYPXagTtn1/m+83Z1R+n9dEzv2SbZUZtWG+63Yl2Pvdn63DogjhP842B2rveZ7Z4Tsuuz4bdK8BVtjIWNKS2LvT2Oau/rq8drCoRunJZ2mLf1Y8eo5FEhw36p8hG0rOP3iu63mTOyczH8vU5t6HVu2y82pra2fs4Tb37ZewKDt9T66fhi2ad5058uT7n89RQYatLgCUtd/t+cyLK/oudH4tSOWbeG9s/8mT/zbo3bNaJ+a2Z2L5E8oOsKeInnt2YYXNdkNLLX9Q51rOpI7rt1CYBhn7lk0XQdX+PwbMI+fJxTq3X9qmhVoyZlqAvyjb2gS2M0RPKcTxD3EjXFCBwytOy9OMI1LKJLNThl3pZK17FrmYV76XsdXoIukga0VumVqbtQ/RpGfXIP/7X8CS3NYR1rz3sVAa3jp8k+E6q9thkAmpfH0a8Rzkbpalh9b9N383IViGNcB+8UwD8BtwYvytPXcb3/tfS0TlJLSBt5bWlY1wnfAFYBVBWcNr5Y2ZSHzjeiigblg/e1G1X2uhlAffKq0cYXfa4uni9Ae3rWYY1yjcmTvrqR4AtYetxV/sZasE4/XcfGPS6d8HdLAu99Cxhu4K6ZhxroBvRa4k436TOdgX/WumyC/rm2Yo3Oan/Ne4NrNcBkZ8fiBXPZzUFkustP5fmOv3zOtlUXln/qoDWY1Uj5kxNQGXedApxmem/AuK18+Qq8fDH5utfq9/v/F3OsXsl3dUQDaFd/+v+C8aegR2lZ2Xfstcsd3w2oaq04uY7Npe11aK9D9Apo9hq97sVL955Xxz4BSnxaenSNe3XHjqPnrPmWFbS++cnBuvwsK6M6w32bEfcf3FZ9VsxpLNfBa2YI7e/83kzoE+/crPoTPRv4Wyv2qn7q+dcxfuXgX3xcPGfjqEtz16+d67XRFPa1WenWMXZJhMw6p9DzdItTdi2O4ez2NhJb4mt7jzQh0P68b2ywJLmy9nP92DNb59TaSMi6y+r+Bl/huPkt9LlKwa6dH+5Yf6vHK8c3CHHlU/Kj2KJ25/JdsX7vYe5g6totx5i76+OUj74imWcypZqiOqdYrTa8fPnkp+hrdWltmjL0VrV68WMqE7V/6DleggXpkY/FqV2GdrsHDuA3ctDBd6MBIIEz2fKGOnDAAGFx7VuP3XIvG5PcqIBF9CbUDplrHrTM6exGCTZLsDNgWxfx34dpt28Fc2vWGUxgOvHGUGflrq/Sdu5dJ3fXedpMpyXJQCL6YCS03RwWOLTE2oO30fc6nAxfSyUKEDoWis21WiJ9wV5p136XZu5bRxb9WqLZCFfX7u43QQo7rl7hxXc71052U9QcOJFB5+23Kfxdc8f3/9LPrtLGVyXVdU5dB1jA0e+NdFOSV1HhL2ulOA3ktoGNC7qqoLvBG/m6vHzBYPvlvbxprNr40S6Cjf5f4NJ7FERUQV6DXh6rA1RA69zyleuirWNaeVEnocoajwJk+tw+9rdLQ9+dW56/pTrNPlbPFExqpeF002g+/XHLltof4MB9jLtAuDqi42ogjN6vraijUQed0b6VAOU583edgfLmBZbVD+ThGljtljkWPPW9Jc3lIXanQS5y/2TYGxQoMCPXAFxL2Bq08jv6db46J09gpTxy+fMVmLtO3xMf+++C6suTvndJRPnkaY5rQ9e6ju+2BoXQt+O7zvQNEvT46nSO3wXCX2pr/6tP7jFr+LUb1lTXXlvfMVx+672LqxqgvTryYpuL4crnjrmYpPf04tg2aFbbcXmQfbx82kC2/pe2eONVlriy2eMq++Wn0r3f+36Dbvp6+bQOx3VmtDoO3VG2rZv8PfGac4ZFhn+2s+yc2uFimwY1IN4+0TEqAPe/TKnNxzi12wV412FfLAGrw6X1CQC1Xbv+cNXw6F76uX7vPnfX7uJpelmGlh61J4pNtvbadb/pm77pXXZZ8PspWPU0L5xQAZ4b6L2+UoPh9gugsyV0WjW01r0oiutGF446Hvv/ZO4v5nB+lwv1mrVtt6FbndMGdfxXGwgXC6B0M0aVrvSMJpA9LLjd08dPxc4fqVM7cD9m7eMSaih1iODVScSYjH0dogKUNcqJc1ml41zAuOcVBGOAZgm6Jfr6OIHcPUb4Ccne92pZMSemhqKKoZN/mZ1QEaZ9rrNThqqhrPLchO7cRdIwusjYHNo6Ajej0ev2XpTedcwoS0DwGrLSvFm7OpF7dacy9yo4fzKA5aGrQCpk/Xw36nk6Hz/VCRg9N3ddS9Tr1BDqP55Hp867XeQasb2gY+1uV98xXsB+nStglfEuz1WxlAaNlnWHRQqou4reAEPXOzd4UHqWzv3/gqebgSbvLSOzK2n5uIDlGpYbGXe/Ouht7n+B2u3r2s3mXPB3z3tyRkufntP/O1/Xyb19aiT66X495mlMT61R7BqW9vE6rZee15m5x9Qpuwa91TtXJ9RpvOCquuAGpa5TfR1tvPwU0Ot8dM56316vurb6rwHBK6+OvTzaPlY3NIMM7NLdDaIWzLsOma5sute99+XXJz584ucG0e61ngIpPbf3qOPGqep+Du+zs21Pctffn17lwXuvp+t3DMZ3adj3V3S9svoEmP1+dft9vQKoT69e48kxvu9P9L9ydXnsfXzX8daJrW7usddxu1jgOqPsW7FC+9GM/+1Dq8To/BtkgStf8dbl2+ssXHzwKjBXHVx9ZYyVP61Lq57me+PxaKY9Bm6P1bPR18Us3ZVWkBF+QmO00C/Jnjmeuz5HrYGS8pTrdMzVY/yHPtrIOK/u0Ro4NearxwWIYN7hj/k3MEh9ivfpm7VugAq/vK/VFnqnz/kI9QEc0/XFdh7nIz3p3z8+CcEn3dV58H9tdHFY5ca8db70sbTmb6HzWpMlV/7K/9bum5OPxamdQ7vnuz1FOTtQA1xUZU7i3vcM0DH5GiDVtRxX+Hj2awAwx1Dps0fXXCZ+Uhx1spU0dMH5Ilbr35zHHQNYd2fMyxSiaxRPFUOdkd1vJdstiWtUtRNdQ7K2ZxpuUvWD0txkr2xi/3d9s3tr10gULJVJfR7dbb9+BcE4Kbp+7rW7FrLr46rUKiwVxCqoAsW2Mj7eKZirUii9Ab0pr41zQZYnBdA+6f/N2ujf2viHcSLYT0GUKm/O0s4R+ayRqyGvnKzdzW1u6S+Fccs/7s6Bk0vPe7ORFnq3vL3zVcCzvvZxTq8yPE/r75XsaJuT0QFd0YtBv9HrO+flnwsMyj810K55AUsz2kqg0K8OypWnG+F8AvgFK68AJnm8oLH3bACw4y3YeDLI/c6p9ViIzr9XI/ftKx7Fk3V8bwnuNYb6qNKlug9YQUtjKhgpH5GplrhdZ5esFTwUmFY2y1dPwOgC/QLrBvc6ZzdgdCt6XEurjpz+mH5pQOxmzUvrAuBWRfWavWfBW+f32va2p9+vLr8BvcuDV379rtRwfZ9OuFij/FK5fZ/MPc1l7UZB9NPxdfqe5qyOV49pxqIBp+sEPfHAvVb7V9B5r1e78RTo7HlPQZzet7b31bH+e9I1T8GbzvVeXZcriNxKO2Pq+Cv3azfo1gDkE43rIMIrlY/SplUCpVurPFqNs9/7LNjqSXpHf+hpdrD0dm4Dth3rq/m4WLhyuc/TJ//5P//nD/7jf/yPb5h8GKilszeTut82nsmi3/aZftl53Q0eRlXWbAlX6WiccEllp7yGzg3Iy+gP//q9eHYva3t3fKsGWzGAHhzm4X/ZUKXIxa5Xttpkobtjb3m8dqP2zP0dN9rdx0WW79Br59iEy0ZZ1z/5o6PPBAlfBTwufu5/tUXOa3a9PC7ZZ5x8OE5tlx6UH1pRZBz7zSPX+li8j9SpXSpYKa0BI5hO7/MEZYLza7/2a28RoX3fg3RHFCC+Uas5vvcZsa7JeI9RVv48x3rvcxKXpZR6r7DXYWuk+z60fWBBROkXf/EX36JW62vBiuOfonudfKBqrWULu/ceUv7pT3/6rcRhNKwz7hoc9+4Wu7aHaG+MnDCAcWXgCzDseq2vrzLHGJiw4Ebf0MeuqWvdvdWaE2Oq4r0ZO7ShEG4EZse7Z51h5QZtFbSCwDo3BQs34lylrF9+n6AQ0vGlNbZaFcQUpIeIX+Pqe4Fqo1NKZWqAGA4yYKyNLNeBrsLY70pVKCn9pCyuDHDG6lirTthLafJkgPM+Xu6zZNdXEdeWEDE6dfyfnNoC8LskQSt4bTWDzwVt14moPFobrySoZdw+N2hwlX9/q14DQCoPZPEa4wtgy38XTD45EQVdlyfd22f032/WRXmovPu+z6ntbpEa2ey6Zss0unTgylgdSvOjj6Xz+E9frcVqhJzeNZ+tiNnv7t/lHwIgrxz5OqVdTlJAVIenjg7jbG7vTqX4q/NWZ7K6Db9exxYA6z4D5JKcujZ9PxoCeWvOt4N4Nw/E/wXLdthuf570ThunWSut6lB3/4n73OLaIUE1OrDnbNwqkq5D/oq3n5xAY6ocGb853/1aGuec6zhfR6JyC+RXP/YdPWXa9aWBoWKMq0M7hidH7Trp5Wu8p92gQ52ZOsMtL4YPav/LM5c2t/Sd3q9eFjjDo703foDb8AbcwJ5du+e/Opd1XuknctCXOXH/0qMJG7pJYgSPsM/ksnPR8upWj+0zu8pGlj5Pgc4bsKgMNHDQAMHkaRj3t37rt97hvVUCmo/rWMAYXTstuWQulPYaV+fpJgNglPYJXa/tMF6biio5x2fDvtfZI8fr3z7LYsry9rrwFHrumN///d//4D/8h//wwTd/8ze/C7Lf9cNPgYQGZcjKdRjxNttTTFa5nL90HWDH1BY3cVI9/Ycfypj9JlphyH53f57yTfnKvFR391nWw4d0Y/FAl2OwjZUbNNnctLLU/JAbvDLdPx9nfPuxOLU2cOkEX4U9Qzsnbq9Fg9YZAAbDKskt4BZxYFBds89jVS6837shEkYyOYS9E9W1OphKvf4c8L3mgBB2SrilpRj4Tv7a+gOkV0FjBNmq/TanfJPVR4eUOQqCAL6ds7br7bxlaT1ku4qjRqwZSgGFZhLKvI2mFfSJujRzcoE6RVzhqMG4QFM/OddPUTDXJdBXSVxAU5681+h9RIlE+/qcyts/DmaNKD6vEa3zzqDtczdJeIqAGVuBlrXi7W8dIrwHUPe/Xvs64Oak4PA6Wjfb22MYDbTAi1WgvU91Qx3QAqzyeR37gpTrAN6+9VxA2HkNrNTx4tgUsNSwGOcFbO2L/vW826fLj/p5+fuJf8vj6F9jd50EL+Vfdx5v/zovwBx+K4/Qt5z7VmhcwHxlwHdZRvxqfwXONzl7mn88pm+XF8q7BVelacFu+eoGL/qqvQCWnNPNwnZPm1kAfQDcdRzc68kx0i9VRL7PLlm3NhoN9MiI7DNdhuaWvKxPex8ws+eCTfpagdHI/S2/LZiubHQMDfw0ACRoxn7WjpfPyud9ZJ5g4Pq/QHb3pSgdqyOv7r80Lojs0ifXqU51jXvd217x4+XXS6vqhyfexpvVN9UtlW/X7fvVnVcvtQ/3+j32BvP9DrDSHc3EaeUz51dXlf47t3uuNLNjLxRVdtdxx0ccYOOWNbvPvRTQaLC1DsnVW8WqrXqyA+94leysr+P7nXft4u0Pmux+1p32kYhojHeMr8725c2ngEd17oJkKhFV6tBfN+BkDAJlNxjGcVTVxYFRCbbj6aEb3Lj9rxxoO2c6q7J58RybqroDlsU/axztBkuMoTTS721IhdYN+LY6oK0B9MpQ5abOd51w49JU/VUn0JGVlxscME9fliUrN0ABq2nF71d3md9mZ9G5+yOVV92DYyo5V91UfdtEzg3Ct1/jIVV8H4tTq6NXKSPAGOI3f/M337K0ShDmOAJaIt0cCQJmLSsmwbh9MHCd3jl1nGzPK0SQZhAKSAvC9nl92uSsf3vH/LI9MpitBV+7UTv3oMyU9DEeO3YZQcCjSr1GxW9lvI3RzrAYauOdQwusvCo5IWQibpeJHS+i8yRwHA/C0mYudu2WEvr9OlE9Tz9vAEKrgbxR6s7rdQSuob5KUB83XsKCD3rvAiACW2Xc4zpOgttSF+O8G0i1oaOADzrV0JRGjfRXUVQen4zENVx1OBugKh27ntc65LUaEoai96xydt873o6H0r2gylwWDF9eUVa9uUTfG2jpcgF9vwECfSm9b2DmOipPAZYedx3mOm4F9jVkvQfjtXbpg9c4VPTX+4C4Zt7Jl77WCFdP13EsD+7YG9FuNgI4VMolwm8t1/4DfNCEzLnv07zTIcZcfsYX+KryUDmsbWgwr8Cx38uj+kQnz/HCD0/ziGb63lY90ZItz2XkTONZy3pE3UsjcjqazkbMKbSb5AX3DQJc/rt99vna0et4qIIa4JeJHW3QrVnvOj51GGaT975+4/tmfl6B+tK/jc0m67cU0TXRoK/3yfu9f+3v0+/mqnLm/2sX+3/10e1P7XXpcgNjDQjcKpNLu+qAC87r1LINrbLT0LnXLs+V7tMRyuxrU8pbnI77pAp2V9YUbVSi7CU5INCjWo5O2jUAcrqsTi370syxNakLLrFlu/8CUea4QZQ+sg5I11c7DKsWIMvNNu9aMGCDcm3FLZyONQHf9Q1tBLzgSDa5OpR8KumtjdAfz4GVuLGEoHaArFXfPmGh8iSnFo/LnLJXlacmo+hETlODEfSVDaSapODDjEZ0/XA2HnuiNxrVqaVDnEcnszsNFPMJNOO4dmLHdT8b7/jWhlNf9qGMCYKi6RO9HXv1T/UVutEpHv8kYNkxmo/dF58XW9TRxqv9z5zrG7qpPPrYHunTXYcrfFNIv/3bv/3Bj/zIj7w5cKJXFMU6x1ARBkzS0uP91m3i1wiFErhdZwqFopL1RHRO3H7jaCK6iVbKaSfclg93QTrG0TcZT8rP+SJT+rDvm9QJBXA4h78ZpW/91m/9AgcQo7b82MOjTfqO3zXn5HJoMUGVxl4tiylg7NyhBSXYCK6MuGs+ZTOB6hqYKp06WMCvPlfpXtBQuhSw9rw6l113Uceqjm6d3fVhynwZ8I1rAEzDK8b3dK3Nn2MBxRoCY9jcFQC0LK8gqiX0Sn5EAHtc+VEp5jVg15HVn53jes28Ch4BOpxr4+Hw18nYvfC8V7MxjRgK3uzVwFT72bn0olDx2AVDjinQcV9gSLR1fdqcNTBFpqtQd77NGvZ589fyooK+KuwLjp3fgAHnrU6BzF5lrzxOZpzTMizBNiVhjruPeXjVbmCBHAKW3R2eI9JsWueKnqjhxHt4siD4PhqEw0yvCp7gF477zaADUHuxAejYTUZqPGebLtAhT3WUOk91OOqMqa5YfzmNdDiefgoioklBn/+U3DXIteuuLG73YEvX932fLZg9tE7+3/27f/dWSrdKqZ03e8GptWRnr+k+WZYCK2PH053nZsMAf8uLZv/93mdXzqn+1Kc+9TbWHbvyR9dHE7K2tW37/LnPfe5t6Y2d59Fs198Ydxx5brCqr7ZmETgVDdBc+3MDiQW0dTivc/G0GaBrXj7CGxcs018NYNVhbMaILD05wniwweMGachSA3p4W58cQ57cq3ui6Md1ap/mg8PRZTTwkAyZcVTnr5ETGEpwrIGUm3Ek73NUJAjGU3vhA86YgCNZBNrRiy5ZX1X1mW88WGebvaXjbETEeaV/jGV8vdeuWx3TgOGdz9sauIFN99lGrev7SnetVezTM+iuV8GIBvaKX7zTWw3umeeOoXim+OTySrOQ66O1rrv35rOZ+2LRPm2j+Fhf6frRYwGJ6S54x34ykmz05H38ZFuXeDRgVNvRYAgf5WKP3WP96R4eDSQYD94RsFmz+/QffDjf5lFf8MSuQb+0UqF2tbJfOUZ7vG7ZqHNqY/GVIEN1SPnKPfoM4eoRc2KcH7lTq+S3mbJ1zHOjfvZnf/aNQWzjPMazCYnabOe2/KNEEZEG6K358lm5RNcLcQAwCUL6T0YAiHOvXYdhbNlHd+9FeMLSNDvQ10jR7rMJuk4Khtr9RiMRCOs7XwFN/2HknQfwPQlPo0DNWF9nuZGfOu2UQz9fBvTd9ZsZuU7qBQONJHKK7hjcq3RpNKjZ0its+nCzgq4NIFMQsrWljfEXaPZeXRtC6O6jiqqgq5Csp+J8dJ7cS/kGR6WOOvmpEuFQdg7rxLe6ogrjad5bOmJu7Ha4z3jP8fpCAaMB+l/QtnOqULWnyORT0KPgGi2ukyC6zYjoqwj6EyDoZiEUNdnos5Yb0KqTa4x1fPBvwXPnoY68vhbo3MCa+3R9Tmne6O+9X0F1mzExOMpGW/rHcVyrM2isDGnBiP7SfWiGrxrYokuNgxEjR9fgNkAC1Jpn/fHf9HKDGev/qoeMqSDtGlzzY/7Qzli8dv2WBt9IdWUOzS4wYj/22nUaHNKfOa7jxfVzGaJ9/t7v/d4PPvOZz7zZhwFtehVArSx4DAbdsuvPyVUN1X7VSUTTgljBjcnUAoLrzwW2bK5HR+06O+5Xf/VX35UkW9NnM5pdazr5u7/7u79gN/TqM5va7d5zbs1bN0K5jQ307MOnCqdbXVOd2+tUn1VH4c8Gte75N6B3A3sF3vd/eqC6r8Hu69RWH9zg7tXfdbTJfvUDMKxxNrqG+InmN8CAl9wTiLfPQ+WHvoDv9LePCRFw28smn8bb7BFaCfTrM35twPRiC312ryZDrn2AK/ETR3rjGa/Ds3CAqoQ6z/iqclYeq/68rU4G2isX3W+Twzm1cM8cNhWYDbBxiDpv1YF4Dr31dwG2rgd2Tpdwdf+PtdIPLur4YTFJpLsfyMV8qsZaidT5xQsbv911VQpo7K9HFD09IklrEOUGr4xhDd80oFOnlrPdQGsdRbKxvliiAqOqfv2DD20xGlQONl50hzN9L/8WzzczLtDGpnQD0OK0yltxJR/rJlRgriaFmtkX5P5YnNpbN24AM7ZbYP07v/M779bOYniRYI5qgXvXOvR6QEw3TqrjICpOYYjiNxpRAIo4dURct5sV7J2Cq9MtQ737NVIoUqcURcRwCgSYUQaA4ZW67vsik8ZzI6Vt+w+tTDJhJjDoyoGnII0ZMxZQAwyYtox8DWaB8Y2oAa81jgX5VYT6VEZuJqv9aHTNORX4Aga0MLY6lvhOf/S5DulVWjeTUBBAINFVsKf0bIRZK08WNBk3urlGN+pp/68DWOBfIPNOyBMgKP1aHcFw4JNGO62VwXsMcKN+t2Tmjr18g69qmK+x7Jj1vRFwmx64Xukp2ic6ql8cHMdXTzQoof83gOF+7lXQdp3FG6jqPJevAMjrTLaS5W4aoo/GIXB4y5+u7L2aD/PY5SLdCKRrzhtFNifms9fyvZkT46DP20cbjgjo0QkFzcbsPGC21Q/0gFJEu9vTqcrLlE9VFgriyCh+qgOEF/qOj8ivzGh1D/lDu+pQpY367j6yE+vj5kZgdFnY0XC73zve2K3LYhfZK0HY/bax71y2ug5tg9ZadTrZUjW1+82m0YvG1UBIwdQcWxu6NJs4Pt711r+v/dqv/QKnojzbyoVlpBuEusC7MmgvCve9zm+DTzdbUGe3QbFWVJRODeJXh5uXG7CtHqlOvn3k1F7beHW+vvVa7XeDXzcgV1lqUPaOk7y2MunSvHbA/TmE5K1OPKzIqYX1VDzBDc5RmuwxNV17W7k2nr1PfrqxIczVQGttnb7fpRhsQOlgruEOGw5NH8yhLE5wTYEq9or+Z7vohesgPDla+tWgCvnfZ1V+qjVU/MF8+LzB82KFZurwED263ySSOPtabRKcXnlm39iZ8iFeYi8tyehzatHFPfEa3iyWwfOy6Hv3ZBb8CGPDC68wTfXGUwDnOrW3fLyJp8rlxT4XH7Ej+Jp+/4oP56/VTu3b1Tv6XmzT+1Ue9uoSs+7/cn3CJvLcqxt9wY9NONFr9Vuc976gwv+UU9syX0w55vr5n//5t5KiMcYMHKIuIgTwiw4RamUfe99/iGDCRbBETzh1nIiVJtkoCdFMDqCz5rElBfNr/neuHV53bY/RIezKM/Qfc9gsYP2coV5fPdTa9/2/cyhDkzcFvLXHu75oefujFRA2e7XzGwlZ2/+vdgQl4BWyRn4KHimGmwEro93SyTLodZRazl2hbXmpOblCTmArDDXIBeZ1sho9WxP8cB3GSBSVY6AfV4kQQnMi4ir63+zvDUrcSDk6PDmrFWxzpjEqjYahVTdfk/mqg4xWlGD5prxQhU/RyQJ3Xm+GybrqGpPOU0FhS8x6f3TouBphLRhS/t1zG+RQjtY5NP4aQ4aw5Tw3KFEnXCR5/Z/+2XU5kx1DI+UUMgDQIAY9MUerpUd3PLJW+01mbdcwln1fieeyYOh8Abc+aHVipsP2iIff+I3f+ALH9S5HEA0GuArWLw2MvcElDu2uQeb0leNBz7fV+RNw6ZrNgjfObHcn1a/9trGK+D+NAf2uoS5P1OFthB6f7H8Z3IKhzfec07WCYIBHIEEA4Ou+7uveZSWmZwqml6X8yZ/8ybfjZ0Ot59sc9hETBSai/DK2dH7Lv26QsYHWViPNsRZYkGE2V+uLJR3f/u3f/m4Pgz5SzVpH9mlysEBvHdnr1Gmwg7Vk7EZ3NG5TlbO+zN4WYDVoRa662Ro9X8ftOoDu1wxMr3sDJrVblZ3q9cv7dSaAfw6tc+pAX2eufeh1S+OdV7kwrhuApPfsTj2+u3PFecM3dO9wIhuwphwXvuTImmcBoidZ23V2veE8u+Qqw69z2OUoMsIb0zKVTZhY04oOlj7RM8bAdjjHWDlodIglcpYJFCfIdpM/Tu2O0e/9vvHJ4nFOd97K+m9jX3ZsS1DX1o9h2+kKe7KwJXXmfN7L2n33No+tRGxmFZa2wVt5qhujVj7w4E1CNfi3/9aP6RjP2IW390L77qy9+42n4Lu9Nu4G7zm2AhCT+9lB/GPsqgXWnpIVDbwWz3I2qysahHc+f6IBtAZ9eywZrz1G0z8VLLJ7kCl9b1CBLb76rfiFYwzT7brkq7qnm4eVxvyafV5fmmxo9h6fcsz7Mkcfq1PLERoDzDH7hV/4hTcDO8W2QS/KOmM8JrGr2zq875irSkAd+44Z4LDg2f0wdp0rhKAcMArmwUAFsARDqcvKgAFJmV/PfxXRIdgYp4vV9/J9x85YiiRtrB7pYgOEvQCatX1HM47kzdRewAgwdH1yI9oyw5QN2jHUhIqy3hhainVBM+ZsxoXibul4tw6vcb6ZwW7C1SxzI0/63TFphJ9ibaS0Y6hCbHTuKp9bLbDGabnlLQCegAyHuGUda1U6dWhrmO7zxSgI9+NY6ftao6WUCR41B6K+1vqgEwPSaGEdk4Ih1yzoKuAvf951X/rW9bboDEjuv8nblN9tjVD2/Cr5XX9yWgXcEhlOvjlHf846Hp1cdn6B9UYvy+MFYq7dYEed62YUR2d8pwSpgIWeqCN517RwePSpQMR/Hr3AcWkAqhmHypJ5pVOawUSvgkhlc/ikMt7AovPpZ+0GN8o7+EOJoHIncmCr/xsQMbfNLjVzdYNKDHydDbx2o8vaEx8az60GKsgxVm1zbT0YAG3O0YtOAeQtUcEPs68L6m6ets52pbqjzWzZnMLxVMG/Pm3uvuM7vuPtEQkDnNbXrt9bPtRAZAFH5WuO6u5hnT27OXvn2YnmBJjb/3OA2f31Af27O/z6t0fVrV8NnF8nj43YO+eWDNzydm2PANwj9XbtZtA5KPu8gAO7Zs2k/rOR+IeTVGep8+w4fHWznq30wTfNllXvFNjSU9ZUuye7Tib1QRDkAuR+L7ZwrS49aD/IOvpO54y2w39PmSz3YG9ugqFrWy0rq96DvyqbXr0unlDtQh+sFegLgthkbcc2YdFgGj1qfSV9b27p4pa6ok3xgLE0SFZb+fS/vrIlNzCNflc2OGPkuomc9XP0nuxPBixBIOeqDAX+XOu+VCW69uZv15uzXL3BoSmG69jNqepCwUC8RjbprunN3Vtl6HSRZSsbV2njHR7SD871aKCMdudzfltVsv+H129AqHJOj+n7WrFu8XZ5oXiZLLHv6OSanUPXLy5DK/uH/FFKeveZbNU+N6HTXYq9NyGhP8Za/N5qEPxLjvgNrb6QnGvZepNbxWL4gwP+sTi1DIaJWUc26SLm+20O4ZTcjO4Yx0YrBO2WTSBWy5kwQ0sLGqEA8iizluP43s1N6ih0x+OBAJnNPtuvyoKwdQIxxVqBrVIGgs3YDwQAszWAJreGde3JOFSRN6p/ndoqySqSNcCZkKEro0GYuwV7I1oYtREx9y6IwJyiMuhmrFWQ6GA8oqv63Wix/jZbWb4oYGgzfz7f/+q8uO9TdrUOtLU4HIk6WK5R5YoeSmf6+AJ97hzuuN3LI5sYTNdq9lBfb+QT/zIgu06jh2heZeV6ggEFXe5X49t1bJ2Xym3pXF6+kf2rE25ZT8vBPIvOHAFAlZ9XGWa8wgF+qnh4BUiuM3X73Wv4XmcYf7d0tlHR8mNL2tybkwPQobmxO7dBiNKkrWAb/5bmDF8Dio0wX53bPpJ7tO55BYfoViMuCGDejEmfjKlZkZYkVu7oIPcBxvTH9RoYKyjtvF+gWp1wM251cgtI6pA96Td8AAzs/5Z3MvBAL5BuHtaULJfOrj3eWbZmjrFrkYOOqf2vHEx3sV/d3VKAAF13jf1Pv8kyrhVgmXPXsO5w2ZJl0WpnjUn2qI9OwTdXXrVdV+UYubq6eWMDyPq8Z5kacyyTBvSz6ejf4EnxUgNS7GcD5HV0OweXp3cv60dl7m4JfvltzTx1jvWrVU1ktRUPjqt8obEMl2q0267j3PHtOuwo3VfH2rvx+L+2o46YgJxz2p/bBzhkx9WeX6fCuK989Lqd9xu8qLNd57cOGJtAj94s3g3oFTdcB6uVPnV6OBZ2RG/mESYYPsT3468mQdzzFY7DE8VieFNwpTzZAMyTQ4PfBcf3nwTR+rj+STY1+FUHiTyp7tm48QVHtgHsNfx8q0/Kx9XnZKPzD8+2BL54CA9WTz3hTffCQz3f/5fH//gs18BzAgx1avuIqdrE2s7eqzhqx/SJMbWdxQxsdDO3bHqd46fKr8rbxfQfqVNbB2oDmvERIV2Ht6Pvoq3f8A3f8ObcImqZeOcqgeJ8jnnGqMueNuu6hiAA/j7v+DpfJgRY7CMPGrVX6rf7KHWyYNz4lHsQzmZ9umsi4RFJEgFuBHZtzGOcuwbHvRuVdA1dG+bAMLvm3U77lVBUQe7VzFRBVcuRaziAHtn1Pg7C90ZyCu6MCzCocn9Sio4DLprRKQ0KuDvmOmUF8q4BVMnI1knDU++E4mxMciNQnPo+HqDzaPyclwqt59qNfwsau5ukaNvOEU0rHz85EQ3cFACSOwAEWLnPCW2Ej/LhtOOFrtOo4wkYVNmrtqAvuvaKPDV6ebMc+lunFj/uPpM1NN3vQCWAiw/9xyDjmdKvfMBx1tcd97Sr8w201DF0/TrZ/i8Iq/FtcMT4OC3Ko8mCx3sts9R+bD5dj0G64L7GAp+bc4DHfVuFYj5qdGrEu65qjX4rmCkgFrgyZy2Tp9uMYyCjYLhAba/Ob9e8CdyQyR0jmIQXOI/4q47HDahcPdeAjc9XP11Ad+mGJgVm9Co5d+3Nt+wuObabsB1Hdy1lmNX1XX8oCMymNSLfwAGebZBx+mvHCtgC4/rtc21gbVAdogteVEytff7zn//gL/7Fv/j2HTA1v9tlWbao1VzubR7aFmAfHqFnaxvYIBs8ChSQ0dG4GEDQUbWU190ApsEIMq7Eu/1WzUYG18hgg98wBHBPjzewtPm5jm2Diw38uocstDlDE4577VR1KH1sGdgrp5acqSQqiL6/uVfBOVx3A9L0qeq+GyjvUxNcyz07Vw3cd87wE5rUBt0gfCvFmmXi3HUpGv6rHioe64tugK/ZJzLbDCK9Sx/SlWuwig2rWhZuJ+Bl26djrFelR73oRtVAMI5HdlqXqs+WfZg/sl+sstZMqjl1b8sZR1/PBd7LxlecqAY39z8+sExp/3/Lt3zLu/kg310CwQbNvsITS9rpp4TW5fMGEB3X4ErHexMv9Ktj+rgz+hQ+JqMNRu7VpYv/3+zgz9kULDTGbrAruNbS8vanziQZ41/NfzL3zcwuGEmmyc9aM67NTvMTbkAHT3ysTm0nokbZM/o2mO/6ru96V9603ynTCorPwP2uMwKNgeYktz6+kSITZP0gYjUbIhMGVBFwSspan20wsd8BOUCL81XlLSKx/lkXRDhM0MYsYrn/lHZhHMK4fmzMokyyw8qEnqLjT985UZ38gu0C9wpWQY73Ao/egwAySPp6HXigg6F0DxlhwqCMp+sMuvlCwY+xcYLQgJNVo0FY6pD3ZY7u/3iagGscIXOJHl3vp1RdoAUQBzQ3xyuR8egJSl2zRq6lweinbH/jXgAG2Oq6hSpWUTdrSBlx9F+f8JgNNWa8WlbvGozKjjXneGD92bKCVlxQOAUle0dPvNX1lEqjCvbNR9dgFhjvmt3xfG3jvdmZ3WvG1SMMgA4gf2PftdYHn7VuotFglXItOyWuFbS2r6W9zZ+a4dDXgihApIAU+OJcAsHmATgiQxvjdFozEDfDQBdoSot3rekvTu6ux9Ht+YIzzQrRIy1ZXuvnRuAZTQGNZqWnZ4F/2QSPNFPmejPqdT7QHsDqTqXu35JnIMKc3Cy58t+dq0ROZoAtMh94pQ4McFI9/UM/9ENvZbAcT+Nh08gKMOjxdevnbKNgouAqPpUJoj+mN9jYbo724z/+4+/k4tu+7dveOQVzFBeIpuPqZFsHuWstYN1qqNvqPDeDARByWrUGBM3HrrvHEm1t8Phya8WbDd3x9Il5IxMc/gbM1ubQ1qmtHhZcZzPNpfFMT5B15ziP02eM9F2zVADt6Cf4N10jaLQxAdcAejPDMIllCtbfd2fya9PJv7E2kGF8QO50Xm0+/af8Fu2rq1taveM3T9XnbT2eTOur/m5s03/sXcH7rj+eLi40Pvwpu9hAN/rvff0b760PkyP2BB81YG3O4Cz81A2VBN9639qwYiNYofrY5mrl6WYo0a2JmzU6adeXLWvDD8U7+Gnz3LXJEiRL8AzbbinhxrLjR69VNgwnTDfA5XYs95ib3W9j85gjuNq46WT0axKk2Wz0gqvparTd/6pE6uivP+vLdMSuOT/iV37lV97Zt+mR9WNjb1CJzhScG14nA/AgmaQPydPVLe17MSwdCFc1+Gmup3vxl93rXWP3LkZvMEpgbb+ruqmu/aMP5QBe51/QldZ3NwlULFF+bjXplpGMV4ZrPUZOIJV8wo6SeaMD/jdvxqDfnu5CV9UnqTP8kTu1Fa4Kn4XYHDugl8JmBIGiTcaU8gi0tTz7ncIeU3qO2IRnvzGUVWRTfu7V0rOm/QHngm0Eo2A5xo28NSsC1ItIdfyyyiO6CIasWrMcTbuvzyIgO6fZTYx4WxmVEAH7AKyMBADTDECZtddBm5YSO48xuJFB825cGBnQqEFtaVaDGeUJn1vmtGt3TgEE83Sj2s3KAabXMW8Jo9ZjCnSMv8rKeFuqxJE2D6P9HFnA4/d+7/feeMRjL/7SX/pLX7Ah0JwlD5VGJ0YaKC4gX0NbfNdsR/vNwUNb1RQN+MhgNYLH8Vt/KRM7kq5P+0zOZwiaYa5T0Ohl76Hk52bxWgLXeaxTK6gik0Iv3MzFr//6r7/LiFvbvuM3Z1PIjLYgmCghBWujnjrVe8146n91C7ACuHF4q+TxemVIf0fv8Ur1QJ2iGS3PQN317KKJRngDyBIhB+petYIbmzeNXn22d4G63aNbuk6ORc7vnJNTDmADZ81a3qAeGacrOXL4HsgwZ+X5q2scS/bpNPNXvVu7BRTQi3XOAZw67ni8QTdzpC3ou6U5gDXAdrOjriuzDPxWZs0PcCTw0sj7tRWzr3tKgTW7glzrj+cFXwAq+Lx73DmsLq0DhgfRAa3NxT3Hfw2wydI0Y9dKjwYnzStHc+NsExShp4xBf/fCQ83I1SbWYeo9nxwp/a2DhE+akRFsVBbNwcJHtb3VqRdXlT9vBrxVL7VlbGez5zJpdLF+wAtoc2VVIOWpGVerAdC+e2zYqdzO9vRvg0L4o3QxfypV3EPQuGtJW3LLjt/KC7JFJsm8SprddzqY7VkTrOeY0Fm3RNc82LGZXSg+JgutGqqTX6fgZmpbxYVnmp0jv8a0/s45mV3cOzoteLVjhtGHafa/ir3ReU6R/WemO/A0HUX/rsHl1Y+dJ3JE3vp/cWKz0HTE+jDne/0QGJmewsf6svN++Id/+J2DN1xmzjiQlQ/9KQYkvzd40+AduXMd//XarkFPNnNMvtGTTEvmNVjRAHKrMf4o1Xx37xYyRYfi755Lrunt7gMyGR8veDyisRnD2vgDr3Q8gmkeJ4V2DVDoS23L2q3S+Mic2qv4KDmbRAwocmhbdtC0tSjujM6v/dqvffBzP/dz7x6Bs0Yxis7dkhKZpUWQZFCazdWvOm6+7x5K/jirJpLz3NKdjUMEx+RaeL7jB55FFSkZGRXrmmyKI9JQp7ZrGhuZqEHynbLTL9FKCt064SkmTgyjaR6AVUxirAseiIQ6tjSoYHXeObUMBQZGd0qlmyO1zLqbLwBBIknOs7NdwYYoGoPsWi2PqWGq810Q1GsWeJZ2Nxtch9q4GdTx7qKaG/tA4KJZm5cp/SnRv/W3/tZbFHFKYcfYUn99mOFo+UczYc26Fdj4bk7NE3DmWGXnnmVJkdZB8CzJ/TdDpqpg91ifRcw3jm1Os6zH/pNRLghqKbK5xi/jNY5fMz3XCWCIy1seqYXmo+34fdFha2z2/m/+zb9590zO9VW5/9YSTm+sD4vs2rTHsy5l43adBub089Of/vQ7x3r9uLvvNlqrpG2fW6aIv1R+7L/N/fSgzS4ADvfdxjoc2f0+2m8M03+Uv37LzN0NnqpPNGCpmfU+4L76cO9K6ARGulnI6Fjn2nyqZOijHvAEXYyP9a+lb/Q2/gMM68zXuW0wjRxz1ug9/NmKFy+62QZ+3UyleoMhdw9j2njRXeBBP83leG9zL/t1l3HUiVNNgMfMDV6lk5Zlmf0VePG/eZXBHP8vkLw2HrKb6HTU+ipQrERx/bJBy+a/AVDgo3MoCClb1KAnWvWRReZr4xMwAogmn919tKWqzTB0Tjbvo+30cJuNcfBl8QFbQ2aqizghls3Qu+7dUm9joguuE4xW7mtOAT52rQErx3cpRp2S4pUbxHJ858Fx194VLJunBub2nw3c3LvBYgGVJ11jzujGBoms2yULXZtcBx7Nim3qrAvadN2qxIjqAGWRgqqV7wuk0a12VJkqHcwGwaP7rvKQsy8ZApPADU2+CM62qoQTyp6zneSdc3pLYeHBygT9y541wbP+Tl6Gx6fbtzv4Kkm2jHA76e+3LW/YGHb/0X66YP+PVxdwFeiUuTVPqh/oBPcu3iIT7GX5Fr4jX13PrxqGU2sd7PCJDKnjptv23xz1fd+Ypx8sA1qbLSX33um6Bj2aYCif398bEDcmMlZn25jYu1Z21eEUGG6J/LUX/e0PP+SpYu7iM7rOsebBtRyrylDAyUZd44dWvcg41+ay12vkePdWDVO7R182YF0Ht7j9Y3FqDXads135GH6liWMOE4eZKKWf/umffpeKHpHGgAPQosS7zmc/+9l361/2WVRgQmfXyApIGR8zdB2I3zDSmjJKmYcx+frCkQYM1p9F1fV5k9pSjRpg5Wq778a5++06o8tA694B0fVdZroOZDOOWo0w4NVjNybZP5tHNPJCsESiXaOZS9llzgZnmcGXNQJyHGO7+v1vgw8ZH2s2AQHXa5mx8XPuZbdlut3L/czlrktoKFTBBZEg2URR4kY7CT6epiy0biRgzJyZKhQC71Eo442du7K+zfPusfKX3X/O6z/5J//knSLZcbve+rmyv3/7b//tu7L0jWdzKUhivhniKq46A1372TGOdiKYNi3bud21dP0d2JbhFIFef2fU1sfx9xxc4HjKbfKxse1VZViA0Oy+zV+uEWhWQOCgEX66Z/cdnUfvGSbLFtaPGbcZ5cnb5mtz8zM/8zPvDODGSE/NQd0Y7QL7i7/4i18Q1WZ411/gdEGsHdslCG2jC2NoPtaPlpitrwDTaPb1X//1b3OwscwBB7j++T//52/0pk//3J/7c2/XWj//4T/8h286Z1m/H/iBH3i7d/Vt9fWTDtcAOr+vv9O7AiGyp5xEm3QAAzIq1iDRudbyWKawa24cO248LvOnLH7XaLCg2U/Gz/rulr3LSt9sGh3atbr4jVwbbzdsqwztXpPj9Ut0utUUdTqqO9Cy9y+f/8t/+S/f5nxyJhtQHW8cZKZrswRY9JWe2rlbgzpdssDNQKkKnPEr3hO42ufZ3QV/1tfdYwD2l3/5l9/Gu2tMRiydaUXMHt83XTA5AkqabQGYdk43QhPUUc4oEKF6ZN8HOqeDuq7bfccvymLZEfPQoOmuvXtsfG2bc3YMba0H49TuPHZx/5F7JdrNlgsic1yMU9n8xt+AZJ1I2IV+nvxv7iYnnrxgXtnq8Tp8YXdaWKeZGkEPAHHnrt8L/NHFeANO2HyTQ45c9WAD2K0Ck1nbdSy1ajPH4xWBzzVOj/HtOuzh9EQDohzFBnQEIDwGCI/00Tx77b52rrYzuEDb+HuflePqb/m5Was1NNh3j6va59FPhcvu2ao5SZw6Fa0yoSf2P+xSzKJfzWhx5lQZtDXxo+9o5T6OWf/Y0/VxNnT2c/pp45jdXwWRjUTtHD5dMfy7vk5HjnfZP7wtwVJ93Io7mUI2V8CqlSgqQOFHc6DSAPY3Fg6hLPL6O5wgg7/32Ux8+K/+1b9690g9yYViF8GalpLXjyifm98GXGxUKciNhy1RExwmpzCea4y+dJ0qKo6nc/DkzQx/2Zd92TsMriIA/+CFJh7paDitegZtxwuCrILfO0ag1FzOXu76m4PPfe5z7+yj4A8dMryGz2E02E9ZfQMzH4tT6yYmRpneJl6EVwZSrb7StBnMfR7zfOd3fucHP/uzP/s2WLXdBHogcr+JSgGJvje7yLCaZIa+0VEMNsKI1iulJBDrt7WC1km2/I2zC7wBN+4J2G2S9n3n/9Iv/dLbOYtkefzIrsVhrsHGxJyUOrWUWdfeFui0rIsj2IiNyKtylzrG6MKpLRgEJqtIbkTY2lLrL9DMxgkyIndtM0PvM4XuuvrgXhQdgN1NDzhBIpcArgzvrmUdJKXFaF7HVqPA6rxUsbkHxT3eniO1fg5Qbs4tmJ8iEAkf/Vu2XHDuHsp7Gkl+Xxafwm9Gq9kGSkzWw67XImbGTnEUKAhI7PsA18DsPs/5mvwMOO6+gJXdBfE1Pm5ZF0XcLDuaU8zG1teOnUKc47YXADrDtXuOVzdfA8Vz9CZ/y36uz2iz+24cO6bGiz5B480T4LA5BOJEKmW9XYMh5+Q1w7/Pni86IDTQzcmzG+v4iO5yn92fzhEM23VmVLbhxc4ZUB1Q27h3vqUHjWxex7bfa9jejMGHziXd2ExJAwv4itzSH4Jg6zN+liG7G7RxIFtmif/dt+COzJFDrRF03xnUAv2CDnMj899sNL21uRnNmxFZP2RSXFvgAg0akGngUNv8sz/mCu3ptwZLWvWwY4HenU8v7v/pYI4Ke6R6ymPkVERVX9KfA+Y7dvI0/hQQBMbsRTHwIkDZzCfeaEmpuRgtOaPj34EeAU2yLzC6z4CcnUdlmdCK/e0a7zqgO37jaaNzHVeaGgPbKFjcyi/BhB07mVMRoZqMTQWCR3uO567X/nNGBMVHcw4DYMce4SNZF/srALeC1V1jz2kiz8aDv9CsgcYuu+J87HwVXBfw0/NkmVPS5hjyWgeHvGzMreDr+niyuz6M760RR5dWb5D9Vr4VzAsKkFf2lQ5sf43x8oi+C4bRkQIekjwcMcCf/XAtGerqCGPWH1ijL0mE6s0L9vF3x0MnwKtwo+Uvgo/6IWC099FqwabhGLqvyxnQWHbaEpG9Jud1oIzj9pkO2rjcg07so/umR1rOjV4cIFh+97CnhseIbnxz1iV2BPxUWxkHeplzssbuwdttxWS1b2hOb+CFLuPZ9eCt/e9xbCoNJPHW5/V3v9Ep9XGeqgu+IpUweLU8UX5sIBWP2OcDdlRh0xJ+eMVy0NlMjyncNbo/BtuAB9houqUVEw0UfOyZWgQhxGMOa2BFXwA4G1wMgC4T5cHnA8XLerR0AKBWCqvG3YDVYRMeE1zjXMerDlMnz8RzHpT0bTL6nEfnEGyTI6pcJt31ZHx2jwGKOe0b92gxYdInD/vmoGMOioZRKs1bmkQoKGWKTeSumS1ArZtMtKzQte/xwNGNCtXJUErj+WQDEYze6EpZu7eSxBpF111/8E6d6iq6tf2263FqN2brQO+GC+ampeg1Tk9BD00frLmmjNEKj4+eA4zKX/GpjdNGE5FbwR6RVo4lo0hZcE5advW+1sgsXqAM0FMEFH2A1UZOe78GpzbOjWGAd4GfjW0R3d1v0VrnNRtOUaE1Jeu3J6fWf469WSvZJaXc61fL0DkT6/tKPDc3yyqv35zFzc0CDpsX1wfybEKkzBYg5JCOB6e4rdfhlOk3HrxlMzIDDO/4ZdecrtB/EWlKf8euP5OrOeAyAfttc7Es83hugRRlsjJWvX+N7VPjsJT+yoRb3cKxAiRlDW/mQN+BW2OX0cOnWjPirkX30EOtjqBr0b8vY3CdAgW6DqApwDK2lsgJSHF6AY+WlDWbwDYJaChbowPbxrubV7vFciSeNhPxezM1gO34hw0e3SebnAtVCcovu3kMGjfwstfkZCWF69uc2la2AK/6VYeoVSECmjIj7iVwLYMPuAF+nhOqBHDj7h4WgkjmXqaUo129wrbbDVrDQ9Uv13mos2cTujq2rm2TH0H9BqM5WpNxMu8/fajOZkMt4+DAN6u2fvZRRJdHZMetFyR7EgV1cprd4/i2Xy0bfcqAVqcbm7m/m7ncCjQ2mXx4JJREwfQ7zNWspqCHfRFqk+nNVumZj67z22+SIPRR71E7iLaANXrCj4LE+EjQvvSsPjLu2lmZvPJeA8y13YJQdHNL0YsVzcd1XOpg6YPqNtjEHKnGsUxuemqBYRk2SR54UDUePNelY01uVM7Qp4FIwe7qc4FHDtb6xCbBk3v5LLA+GgmczXZKvEwPtcRXFVWDKdeWNLlSzH9p3mPwScdJ9iRc8MxaH43GJuN5/CQhOB4WRLl2sHj+j/NEkFvF1KQfOb1OrXJvDq1NzehS94TJd6zgXOVdFe941+aFdHWXDJpv7w0UfuxOLaIQ7jHLXhxCBmHGe2vVVqowILpBr1RhhnNtaWkRfMqKccOYO6fRMdG9vZTpVMki1o0+NFXfqB6HaEw2g0phElJRCMw4oLOmXHOTxCgP6HOQl63zcOiBz/VvwiVbN+BAWVHW1ukCjKU5pWscUvWYkFA2o+lcRsLuy6IrxkTYKCHK1jwT7N1z/UPr9d3OlFN6cxbq7K1PgEjXEpoPEWpOhblrdHnN+RQfYCTK20gOANISELRDN0Bx7814t7k2QF7wDyxYizJDzDFZm6O3scl8LICza0we8Kzx2x0OMAMclJy5d43cWmnjVRmQjRJUkMlrFFw2hzOkVHD3mxJaIKYlxptfz5/eeGcYNn/LWsj47rp29SRjnAlyh584KU+N0mUAgOpliWTgZdFkGtaPzcnKMFVN/JW/8le+YPnDjlufd/50k3Uitv3XZ8EyPMu5X9/d338t2wemPO9yTfTexiL7vHtPd+xY5ZbbFXelxQzz7vWDP/iDb5uLNfq8ORlfOg+/A7rVz+/L0q4V3DVw4xE6jhfY23/uyQlk2DgSSsHIHl4AlIH0lgADa3VeOcqcSXzRAFyrZugqgQZBQw4hubmBBw44cMpOAFN4VJk+4Eq+2CX6HA8VzD3xttIy/CUo3IAqW1PguOPca3MBoPaxR9ZftwrE9WVR1wR2912m0DzXaeLYcAwAwekEm+d0fGhAz7R6ZLK5ZUWyc6XXrufxLHR1l7oY03hp8j7dNDniwAuSd7+M6nT8xx5w+siNwB8Q18yi8neBazZu96fj1o/pRwHyySr9NToLfNvhl+7ab6q3OBgFyK2YYNv0ScUa2YEB9v9ovetvXrszrTmy/GT2u7rWppaqkcjLrcTpfJPXJ16nK+ExAdA+oobNszeCZQGycl1r6HprlsE1kN2AeDHFaFGnSzCAnDYgXgwJk7kP/ImWNskarSxBolvYdGNu5qxBfvqJ0yhQ1ieICAhcvrg6vv1foxfgBHsj2L+GLl3/Z4Ms9ds5wzGTKfOy++232Z/1DS/TVQKK7SNaPOlDergOrxe91Awp3W6dsusJ2g1vWeZiDJv3vYYf4ODNk2z55FIABH82weK+Dea01YbW7nZ+7yZa9Hn50h4HAmqSQ47Z2FRrbY7YMvir9PuyD22roE6Dc4J3DeT4/W7s2qfJqESjL0dnczF/B6ZV3j+8uD4vCL/zLBfDx7tmqzuamKwPRJ99bLsfAx3KIPadQm4J2hhnA5C5XPZE2ceUvbKkCvmuRUEbRJ0Kj95ZK3M1MnWjUTeCUSWgTIQxY/A4PTe9v2tbO2rTgNaAU1wb73d/93e/iyaL2IqEiqgDr11rupc1TO55synX0ZkQUNQcXIzrOOCjjp8XoMPhpPz00/3Nw+gzIWOkravVx67BUnLL6DVjbj4I283UAkUVWHMsklXntZlNhqBzdI1Bs4gFZrtPt75/chA8UmH3nfPq2kpUNw9Tov73mJ6Wibk+fiML4zEGt5kfhld/gDPBIEEZZeYMZ4MIzr/lH+RhbePigHdDrI25z6ak1PbZBkIUG14RMazM9tEVna8C0fIqBd/HdogWX+eL0VamvjEDCzaSwneteKh+a3mmcmP8D4AJAIi6NyNoHbp7cnr2PkWvhG7vC4rgaev8lfkInlgbQ5800Gc5w9WJV3f5v999rq7bMX1sliUPKiRkr4DNGxDisDXarl9o18BGs06OV7JtX4Nu/nJLum7mzdwJTrY0VXa94+1mFc0o4E20Lt2aMSOnN+LcV/VSlx4YB3kFCFxHFk5wSkXExlzdrpKIjuSouQa5UQ1U50jl0fiy47qOKp09+e9zQekXQKfLJfBTs5kcgma52IKWsgvuaD6jF6cIaFUdI9h11xoW5PuOJubROs/9Puf0ZpdUpc0JVHK3wCYdNxoK8O832X7/03uCErvunIM63JWjZlfQbw29u6cFOWAH4TJ24TOf+cy7LM/6vuPsGquaqMHrOqFPgVX9qIxUn1dWatPxA97vmPCtChZONntznYXyTd8FproJFHy68dDp6P7kqKB59Vz1XgP/5tSmVH1UXt/x75o5Qxs2nxxXrupI1JZKFrQVMxkbunBeOXBoUMeSs7H1tAL/44fxNRoK+jm2jmsf5VdsxldA1+ukcKJsauRFbtY8B3fXWX9aIVGeIHcys6oAJ6uCICo5Wk4ssVTbhE/L89WNaA6H1Ca94id6UJDY0imB743TY8QENqaPNmZBTzih6/kbZP+KD6uk6DP3Lw87rllaSalW9fH50EJiSLXs/hcg2H+j/xIK3/u93/v233QyB/4mCorDiwHLHzDDx+rUNsKOYW95AwPMyMxjF00G+jZI6WqRjALtRtIpuzJXHZcLop7KBBqxfxt8Fqj3mBqZAhLOAaVpl1FOrXM5LnYcnnMjKlnnGbO1/O5pbcoFfc0UYPKdc0sSCNCNnpdu6NzrVclXIIzBc642V10zgUbNivtsbSfl2kg0Jm8/q9gbvesYKOSOo+dcvr280s9VQo02XqcWMFTmxCBRdo3GbkxKSwFqBqYZYk5Wjb5Xx355uUEAPMf4dYyOsXlSsxWlTZ1+jg2l1jIcisj6PhsfCKZUuTKY5Q+ObxVV5RbPUr6ck2Z8yGGVtoyzqL/1wTtH8Kbggnw8OSOAQbOAgioFoAXv/rtl3WiwforwC0KNbmjDgas+VR1hF1i86npArQw8Ot4SI60G2jE3qFNwKlC5V50r4Mj1WrrFWbiBwQLzBmXqOABMyrNb9niDW0/6rPKivyLawFfl/Zb7Va5c8+rKltrr8wVW91zN/QqyOZpsKn4u/Vqlgt5AHwfJi00oWHCdghcbC7qOMdEDN+jBgfakgAJGgTrAvLxRvUQHkBcbfbkG/nG/BnJVB7iHc2ShVQs8Ac/OeXmlJfBA166jBLu6gA5l20eHZZfpUxsT7XrrpzWAeMKcs/36rr/Xqa18VufoL17sRiwNojQIaH5loXcNG1mSC7xU+9RHM93AY2XpKfBbhwyPomV1levIvNnYiFPrHdB2jcqq89BV0KMN77e8+vJFf6Oz4Eg2wzKiO6/0lSyzwKm5qyNfGqC5IPLVTw0aodVdynFpfp1K1yT7xkSfFNvuOGvT0VP1QfkJTdDfWC6vdt6f6A1TFK82kLY+qlhxXaX2nC1jXcM/qmGKB/URdlQliQ5dAlinr7R8cmrLy1d2jRkvVR4ajNwYlwXnB6zZr2i/07XwXoOTtT1f8eH17E9hbK32gJHMoaSKeUB7c2NpTitBBITnbM/pNrZ9XzXO93zP97w9Pg6GqKy3UvTi1R538ePHtqYWo1LOGKCTu4HMU+fMeECwzSJMjMeayDa2pKClwhzcOrON0FPkFyR10jQM1vWNzRo0CmdjHcy0pu+MKSdYVEVGGcCd8cB8jf4RLn0U4W2U2djLuAUbgA4DbZ6AoJY2N8vCiSwQpVQJMINEGEYfpTHWV1JyNr64jmWNmQ1V9JGCUPpk8XwdjwvMCj6rjGSSLi3MN/rLrrl+hVSzwQr6F4RxRux+aLdsdNhnIBqPda46P3WYClBrAPBaQWEVVzNGPQbY7jn+7zM8m+1saRvZsObdNQRPyBO673jVCi39wj912u1E+hR40A+BDvxKPm5QjQ7pRiLAhDXzBeSNDlavtN2gynUWqgvLo3hN9su1gBwl+x6r1Eeb1NFRBbJreT4o3TcaeH6njIYMaufyKYqvv5p52W/XEULbZvc4K4Bmd25vZqcGss4/HXKdNXxPP3SfBX1rFrXBwFZhNIO1Rs+NhmQSvduq3/FXo+61bWStpaIN6FbnVPY05wHBO0Z5sQAYuqMhO6vvqovQj8yVZxuouv1hY2xuZwxeeK887rqzbdbX2VDNeQAkHnY/9lGr3i/Nd486IqU7u0nfkxE09JIRepoPOsicsBN4U2Bo95h9a1Ci4LH4Yrqsu92as9F3S63gCDpnL3PJJjYIVSe238lXg65sBr24Zi2kF7mBTdDCPOw8Jer6Xpqu2q628zqu+KQBIw2f164Vn9UZufq02K3VBWx3HYs6P3283LUl1vzDKg2iVg8UXzWgAy/M9qMF+8FGW56BfwVSzV2Da/rod315Cq62n/DYUyCBXmlCx/nmtw7t5EiFk6oTY7WcrrrT/YtF0d+cdtnHDcqbb+OkQ8lI91RAK3bPPgT7nYO3JvCNPs0Kd91yedy9BD3rkDeRZU+D2qvqMvQ13w0gsMFNkAkO09kqusiyx/XBn2yiTcdgoSZ56EK64f/4EAebk2ZbVb3R1e1beYOdVSU2DDLHWuJC2zHDvBxe49tmlvP52F4VpHQL34hsX/sgOUQnf2yZ2mvwr2Bi1E1Md5rzvraBMFzAr2h8o5qu16gcgQPaZEQaPanRqmLDCFVglIv+3MwYINwyyEbtRGV3nLV6AAgnh1C2XACoMFGEm0Dfx3JQSIxLr7vmGWiuZdOoMRXwKZNGsLqLJ2G+UeEC0r1EwMwbQFPFViBQwNesRvtqvmTu9Y2Q1aAJMDSocsua7v2voaWQaxSBhH4HqhtEwQNzKhhPiglvmqdGvKqcr/AWLNeoViH5rzS+xqwywzFttsk1rMmztqMBnfKDqOn63l1OBT2MC38oQQa626/RsYZdqeCUt1ZDeINQ1+nQ3Ff5PMPcjFGdTsAD79l47gYcrkPbQEmdmZbrMxLmb7QgJ80M2MUdDd33ZubtjLzfLCtgBGrYWuo9vbvIaHm7YAjNSnNlSOXTZi+BNvKvD9bM31Jkc+ha+J7Ow1fozClVeksPGNPlA0Ee9qBBncoFu2JtGmOs3PW+GlQpj1XfXL3TsszSuvrwRvXpQHYHrVzHdRuwvZmLW9XR6qHyJ50LJHJg0VS5LV3Wl3mqPuKE2fhs69I8NUB/OVkt867TdltpWHp1XvSnZfCVUQFbMvikHxuYpXu7hrklkU92o9hhDVBTalqneC9zQkcJsLGhxgg003+VV/K0cdkcBk9wavF6AxlsRrNZdDk+xUd7dRmUYLt7T19Vt5bH299bFdd+VM/Vpl7ZolPr9JUOeOg6FZwQ/I7fgGwllR6xY46rN7QbhBOw4ESuH5t3pe977Zoy+LW17oFGtW0NEhifMVdWqptaZtrj2+jPS6dm4xrEN9foVzxVu+DedbzrnGoNpgrgVJ/deSJ77JDKt/0voGK+OLKC8eV7jlr3eYDN6MRiW46xwCf8JgNp3ur81TFvo2/8L9hWGYNJJms2pdRg8foUKszwSCu61pTWV8eTuT+VQFLxDMzXwCG7TH/iCeOAudn6Jr84yc5B6/VtJdR7nOLOoSfX7IPjBb+hSQOsjsEbH2um9um3Mns3zvAObGJ0UVqOK4auQDdStdYym0bsMFSjy/pWxVjjeY2fa9SwXUPvOoyX+78R8mHnV9ewVqQvwtXjZBEblagD0ShKld4t/62hAeRE5OqgA0nmowLvXUBA1KvMVoevNO8cNDprjnuO3x1H2bRMrqU2ddjq9AHfT30qHRuE8TsF2D53E51GBPWniqP3q8K7ARp81/8aqb7BoRp7PNmoYUFj+b381+v67QLN69Rew3od7yr3ygHlX0XacZBbGamrT5xrLB3TU6SuPF7gUIfp8nQNcyOVDYaV7jUSzRY+AfDbp7Wd0/LXZiS7rqV6A1+18sC87xpAS8HBztv6PJHQgo7Lk6X3rluDXzpXxp90MnDFIDazWJ2FtsZReUdXRrGZV/e7fPjEI+amzbEAZwF7bQMa1dZUNp+c2qvve52CyUv/ZlQ79iuv5QfXaYUJulQHlZ51+hokAtS6W2uDxX217z4LFgls2Feg9qdZtjpBBZWl8XVq0dw42ZzSufPdLM3ljcvr1X/VUwBgbV/1Qa+jD9VZncf2Ex/CRK1EIxNsbOmlcazY6+KNBuuKXaqvnrJP+s2WrZFb/+mTQPvTHN7vl+bmswHD2q+LiW5QobxfPcDBdE32qvaNHi6O6Hide/FK+b3Bis47J6wy2sB1ZelWI9UxrwOu/zu//FD+Q8vqhdvYjY6v81seulipdq/2sPrA+WQSD6JLAzuOa5Cs9rx2lMwpNd5/CwyjhaBTM5C9TgNdncubKCvP6NuO6wZ5zR4/0eLSvjL/FFzaGNhytFdSX3njXBdjlz6di1YKVGd8RYLwlaUdWxm4Nsv47pzQtebE/8XH5XXJLompYpW7jpydfwp4lsbFZx9bpvYSo8ptN9f5a6wdWwZAHBPeeu5bDnYVdBWtSbxZok6Qe16QXEe3v/utkYMqu0ZCC8IuzQD4JwcZk5joG5VodK3AoQJWY3rBdgWmwL7lHYIJytpq2GXBGLiWFF6Aeed6rUGNGWagzlwVBLXEzthtINBIbenYaF0VSg3pNbzoiT4ETmsZTq/ZiG1LH40FX9zIeHmxSr1junJVw36N7hMoRLdrmK5CNz7/qRwwjl73CSgCwgxCAafIZ53+GjeyY4v3C7TMeel1I7qlFdDScjKNPLlmI62i+AXRzUK0nLWlnY3AF2QV2Bgj/iNDBaN2kF0kujxU/ij9LwhQXut3x20zmB/7sR/7AtCBZy59/Q7sFGi1tT8MfsvEALyW3JfmdnndseSbY9QsHX4hk6WHOcJzdTousL/Oxq79VEpdPiK33aCverQyVR64cul7QW6duLVmdPRXVu8JSD7ptDWBP3OCt8hkzyto3LtyMlUYXQpwZd68N4tvrdqi8dt8ZZ8vKDQHT87QzdZfAMemqcTqNV3HfKNFgy3XMayu4EQ6huyTcZk5tHbdOkr6eiu7umzJbrIwkco1geviEbRq5hP92b+eU/7bfWWc6ZHSlF2DK/CVDBWgW8exgWzOvr6Qq9LDsU/Akw6o/rvZwMpPHdurh8pL1cOly8U3dUyL1WrTbn+91wkofqgDp6+SER2D/6rXr5PSsfaYXrv/VyarozTBwZ5bLELfN5BQW9vzHEunVI8Ud/ntyiusVsfFfZro0Ec08fST6RdPBIEVa486jgZE8apgEKxOP6Aj/8LeAA1I4IFiGLJVrFR56+ed22euXz5YWa6dha+OKm9WF3TssAkHsljhf09FmXnf79Vt1ZW99q5J3+AzQfg6+fSduWxZ9fpmJ+XqJv6Dap7S5MpwedB4Pxan9n2tgLBOqP8oGoS6ILTZ2ipZgOIp4uWzySjTi1jZeXiN4iHkzbzoA6asI1lmNHF1/BppqOLx3ThEJzqBWkFbf285TsFYlZW1pQxGHaM6As1GumYdX1nSGqwZ5hqDCniBWOfZ9TGwR2H4foMIIm3G18dE7Lju5lsw0dIh/6FNd5PW/wLMRhWvwLSc7xqZKnlj6bW7SVD5tc58FeQNhqA7XmimRdDBGFriXlBgs4oa2Bt40n9j6z3JxQVy+ng370FzCqzGDK3r1IrmvQJBGuNRfrny1rE5H112HjBHHrr7eHVV59DYGI4CgBrGOnDl/+ss3uy6UhtrY81l1zPZTfryCEN5+73r21zp8vPlx9K3BmXtlnDWmTWXzcDu/53DYF29WGew5cJoWcByHcAr2/RXy52rk22YtdbqDveTJe9c1ZHoOrVbGVNdU73QwFXnvLRq8GZzb9yVv7s3wbVNeKR2sXyg4ZXax8rH3gc2lMdbk11wam7xVX/ffUXfNwfbAXjgbMsJxn/odJ23AhPjuDJzwWoDGNU1gmbGt3s3eFR50xoMr62t3gVs99/WDbd/eAytqwv0jQPK3uw35drosutVh3cpQUE1+nbNn/7UmdsxHj13dSrdx27surLF5VPZJHKj780umb+WKdYu6dttlWetSxiuM3KDRdoTj2t0E/ktD1WHVL9U35bHb/bMeXhaX7qpEfrV1pqj8m3732DkDVawPxzq8nPHUbylzSFcP9lcOqrZueLqOobmmq1tkOAGSelAfFqcWcen+qeYA+bro9z2m12L1989CrTL/uoQt0/0gQA0/Ge5Bfo3CE9P7Dc7zju2/sWasdZOXd7Ed9ULdT4bkKkftGu1qrW2sTag12Qv8A6faf37yg8fy7ZzqovwK3redeWViyYD2NTqR/PLeRbMq19imduqx1od6tFLgtr4uiXfMtZ47eK9j82p7US2XSG+0dq1CvQapViAfBVDBepV1K5C0z74//anGZn2vWO42bZer8al4LB97Xv7VCN+J64KsNH+OqtoiFnt/ngBKfpQ/B1XDfRlnKtoO79+v9G2Ko86ZDJ4N6MGlPZ44LW0LuAt3WtEykN1RBsUqAFjtFy/Y+QYXD7utftevnpy1MrXncfLp46VecBTHYc5YIS6Bu+C6ScH4UaRGYFLo2ZGOj/k5kYwO/e3Xd5wjftcw9vXe+3e7/LkNdhPwZYGcspfl6+fDHP51HFP8u2cJ9ljVBiplomV192jjqF+NfpanePafn8C9ldf4/M+37rBR3xQfi/A7XVL7/JBDXNLpi5/Vdf287UB1Yed71ZXlPevjWhpsyCU/y+Ab5T4ynXno/25urrO1FqDJMCOEjn9aQDs3rf6/1Wf2m5/6rR43MsNuNVJKeBBI3xrrfeavRsEfF9VClzAqI/m4OqsyrxrtSSxgYQGve49OpbageKI8ofHD9YuXptdGdu7rBDAB5gCaPr7ijfu3PW468i0X+1HsdKTzRHsbVVRgzu15eXR6xi1jze413kVgKruKT2uPi++uzrl4r7ep/Sr/WiArXr6LnO442m1TWmqVUZ2rWZqb/9f2furQ+6xnOXOX/tm/tpgh2ZkL95+apd21aHFSB3DE30dS1c0KMUJIhOTMc/abpBHoIejd3VQ6VZeZVclrDoPPeZpfloRdvFYeYlMX565/kirZ7qjNZ7vfkLNeN5AjD5ejFOMzHnfdb/ywycoOL8Yon3ovFY2ZVFbFUuvNTtrfm9wxOeNWYYXv9a2CkBopb9+Psn2x+7U9qZ+K+Nfo6ijjXYUwDimwPI6SAVQV8Eh9DWmFxDpW+/j/I7BNZ4IWwbzKhB7pXTv68lI3XMbDUWTrvWocut6qo4T0L6OWuettKwxNL6uJe7cXGVX5SKqZB1W55ni7RxfB5cD5JwnI3QF9QpADXV5spmYVgLUqb18VJpex+nJkN0+9f69R98ZfSBXtK1zxTA0sub6d41W6dEyoiqma/RLf0qfcWww48r2HeuVK3y0a/Q5lNrVHf29c1AdUqON16uoC4BfOQt1XOvgvzLovf69TnkJjUsP/C3Y08ZB6/ir9+pMdm4LWDkHd+7bh7U+nuQC7cs/BUcX3D/NcYHgrYCpPnq6ln723g24XD1V52HHd431vQ7w4B5XNxegNfvw1L8Gnq5eqQNS+9YsL2Aii1bad3ylsfcnh/GV7NDD9Andw6ltKeG1132V/3bsglL4TrmZTGCDy+XD+1vn9Wk897N5AfjYJNcCiN/n1JKpp4A7XlJuRz4vLZ6qEug1AbuuVb7rM2vXbwD1Vb+fPq/d0mTXM1fmuw5Rx1V6VVaBT2Oz2cvTnLhPW8t+S/P+X5q7VnXrkz0pDaoTro1tVcl1oIFqeqj0ltlqCXCDXPTE1Zn0Oj64c3izfA1OXf409js/nb+7RnjNbtpPTvO1V0/6tt/ZwWYK8VWDR0+BxkszDhGaqyyYnDSjOB1iA0vHkcPO31rtcoOb5khZ7LXfpb+xXiz3RB/0uE7tE9+a/7t2FG+xV6ohiqXLhzfhZqx3/T4n/is/fPKK+5QH9O8pYKyxC9VPmxMZ1jqjpeutwPIM7fazz8JW+dL7dm7uHDzpxo/Eqe0kF1CW6D32RnsqOBVmzLLWUqM70UBRr7nPhOJGzGzWUke1DuAVckLRewKJ7v8UWdWP/lYmrtKtA+k8SrHKWtNfdKGEPdKhoOo6aTaoIrQX9JYm1wgWjBVEXcV1DY7jCUD700cFuH6dYIJRPug6t7W7UzODXuP0FDG+c1NleB0cwniPf8p+XVB0afCk9HuuVnDuGX17rbzP/0ASWlp7wjlBjyrvlswo/a1yuxm3GohG5+sUtPSoY6tSf6ILmnj2obWhxqeh8wUA+GWvV8bqfu69u66GoaSQr/PgurJOLbN9pevaekxB6/pgbYuoOl0ADFk6UTkpPZxzg2j/8T/+x3fG567TLW21Hbddlndda21kbuvAuJfIO0emc4Y3zHE3yei9u8tldRc+qyOMLt019jpC9Mxk4DoIBboFkI2IGxM6d418ebhLGOhjNqfr7rppUYNRmkj32uQX8FrGE/h7CmJUP5uTyllpR070deu3POKKg4GPlQDaB+M64ZVt/UAj+tyeBx5zZs4qT1c/ttWGAKVdKnSduMrE7nnL4Drv5b3OaZ0dtrqYw2MyYIgGNGsX79yudFJpXZ3d2vFXNuPSorzmM5zQqgxBBb+RP3IiG9R171v6gGfRbef08SDo4bzqnY7l1fy2z7figw4wls53nZfixurAzuOVhV3L4926s+vNAPY52KV/8QvZFjAxF7WDHM3aEuNvAK0OS8fRz/RKcSH5EoBU9bbxdXndmuUV6NcEwcV19Kc+7D7ddKzY7Do+6K6/xZ7VRX6TQWwWt/uUeN1HLLZEdUvhqgf1ob4E+1d93zm9cl55w6sNanR+2Irq4fJ6x7d2K27wAn3WIAiaVAY49X5vwq42TMk5O/hfP3RCjfP6YrXr+rn7mEdLZPZaGbFnW4/f9LkOqWvilVZBtHy8j77SX/S4jTxVD3ysmdonJ6HO2lO7zNPfbwbglvxd5VaFDgwWYBfsVfHWODcdjlELhpzTcj/XexrTvUYj9Y41pjqu1+nBBKW1bGczA6VdhbxKvpnV6zA/OWEVbIrzrsVwnTrCfjPGGu5Xjm9pWQEv2LyOs/sVvKERB+SCsAKr6+T0mPbtZsquY9bW63uvwi9f9r6VGSDQa+fZfv3SRqSrCoRC6nrey2/lR8r2ykBLQBp5e+Kd0ri0eAKeNXB1jqsY0QUgf1+rIcO3lb0n4Hjnvs7kjdIWpKE3nsUbF1y1Lzfw5fcas+5S2aDeBTEARDOdmu/05dYB9tmxnSutnxcwmRHcM/H2zNIaksp5ecT/F6hWXxs3ulQnlfYXRKB919f1ujfAydAzmM0IAUudH0ChoLmBp+rdyz8XFNC1NiMxxmbNnoJg7r95mrNJr5OF6oT7udntyuOTXkPTObKbZ4+Tq21VGgfcN1tbGqBRaVHZBqbmYHKW+pize82ri2+rXSst24c+mulmOC7G8Pt19u1FUVl3TXq4x1fP4Jk+d50zS2e6L57E74B3dc8TbnI8p6wYofakzlZ5Ar9wbGGlvdbvPq9SsPgGeUvL8uO1B9eGmiP7AtSJaB/pC9mrBqyKw554pPJW4O5ZnHbPlW1q5pXsdz35Xl0iwaZ2XWJLtqvPXa/2vv3vuPTBuIqDaq9vAma05NTih0tz599S1rba+Se9XCxX+1XdTwdcLN5z8JbKhwaUWxHgvOLY4jjHtCrj4qr2QT/N5+XdtfKja195vEFk9H4qP7544An3dw2wedi12B0Ves67Wc3SR79ardds7B897OBeG+rRaK7fpZtwzpzb6bS9j/e2KWBtahOAN1CM/jfQVprU4Ucv7+aafX/Sjx9ppvY6tWWmL3ZzyqcKrgKGSPd1HcULTF2rz67Vnoz+VTy9z/2t517FdBX6U3SxAt8oyQUoGLEliTWozqsyXSuzi3jeTV+eDD06dl7titgIC2VdMMqJLw2fxnQV46VHx11A3Gxgr9FrPc3/vX4/Pyn5q4TWCh5Lq1ftgrQnw3aPv/xNMe3VXSkpjDqydy0Jx6FOPl5stgzfo2/nsrxb3na9G03ufZ8MzKXtBVw32neNZ/vxxKuNiLr2dSBvIKHXvfzRPvfYG7VmlPSnsuh7x371G+BortG/xzSjafxPY61RWFs09an8sjxYXhyfDSTt+bZ75miBv/m/Tm11TXVaHc97r+rs6qOW0XXnTNd6JbsXiDV6TI/cACfaNVt/QVWDEU/AuryjHzcDdwMqdy7cD/AmS+Wxy5OlQXn6Av72C005szJWlSugqmvkn0Bwr1t9Xb3BKeYEzLmtM/XU36dW2avsX+cA/xVYXSer7dqnBm9d11wUBN4Nr67eMD7Z3WsP9R/AY1/xoTltfy9/XSdG39vvzsfl0yfdikcq08UwWuXnyR6+j+a3TLa2orJLb6L/na/a9vtfx95sX3eWrZxWl1w9s1bcWFvb69f5Nz+3guzqwMv3F7NcXq2MOebqy6dzG7y7jvTFoLcvxWM9xn3MzZNT6zp3aUfXjhav3SRG+3n56en3i1vLsz22mPIJy/v8hB+u3tcu/Yof7/xfrCf7ilZ1JlW3OOfuv1BaGJulfcUmf3wwV7GMV5N97ECDHXSfjQT3vnM8L9sxMGkDgg0YVNZbEVFbU33nGvreTbY+tkxtDVuZ4jovryb9aSBPg7yAaS8bN4j0FBwzKIvOrU7/ZhudJyNgYmU6WjpwGWGNkqnyYlC0Zk3rSBR4NQJdwEhB2yFMc1wjnl0EX3C/85WQuEcFowb8AjAKasZgGQQGr9Ej4+LsNiLzJPx+a7ZLtkCJrzLb/e5Zfl0fV8VUZVOaPwlxo2kFnTXmdQKrqO6uiK8UZ3m2966yaHTxibebtdOHAULrHEcT9OtjLHYNc7HfNm/tA9p00wDnoGmd9xp3SqUvres08NTTnPtcQNEAjejtpWUzacZdJw8fXDDf8q/+fsF69ZBHH5DlXvcpgrnWXbXLIwxKKy3cmwxVubdcEk2UHNMdZL8lqYIUT4peNoIeeXKO2uw4zsnefZQel64F5S1FA6wro533grPyXINn41vrqKzv5KjUEJcn6XU08rr617xyIOtAWKtFz9CVrlVa3bV1tVl0NVm4ARzZXK1lWUrt6GsyXvpfkNBA4isguGsPfIymIvJknx7Yq/rWtV+Bw34uuPbIpvV7ux/vMRyzwb/7u7/7wTd90ze9WzOGNq+a+19eLQ0szWgQZOW+N0v51Mh2g7R0p+vDF2hkTmrrOh+1x9U7lWm2R4DB45SGUWzu6Bh90z/33nmWbKD/rrHvdjzu3DYY1uBU9el+s6a6zrJH+Gkt30Wbju0G99rIqmcZr9Hv3guGq+ONpTa//F1bTu81iCOQQ6cYl3tXDlsSWRDegDI9AHvSG/raLHz5t5irvz/JV7EYfq0zXdzWkt22BgU7xq7lR3Njcrz5WruYq1V/HvtY/FFHDJ+oBIFhBBWaWSweLt43twL87kNurR3tvFSH4KlWOaFPad35q+zehETxQ2W912rVQHUOHmoAztMCYOnSvLynsZvkgq2gw8sPf3AeLYkunFM6hw2xtKc0RgMZW8dtR+rpHvxgzupn7EXv1y5bHtp5QFv3ZSOsq77z85E7tRVeCqdGghCWCaqMCrLu9zpbtyEch2/3XK13mYjh3HW2TmzHjfgrveIw7Nj9poQDSAO46iDqo7EiPMEsmL0gznguDTBlS5QqwIT3bshAkGvwKA9r25oBMB7GiCD5DLw2CMFwzqFVO09grlNW8NgSh+s4VEETUufXed1Yfu/3fu/tvjvmT//pP/1O+TZK1fv5XCP4VPpXIyCgUUetj9JouwCsNL6/FbTWYOPLy+8FkC3DNf+uJ1hz11WsbTzWBe2YPs+NMm8mpXPSqPjNML7iXb9XnhsYuEDceK+z6Jzdt7sfU3p1kLr75JW9pz44p2tP6gT43vlwHTQyN51nhqdr167e61pM5WrKe2roK4MFATd70e8NYt2IcI+T+XP9O5d3nr/6q7/6jXc8vmT3mX5siXVpXSBnLl2zzlJ1OOeDDmPo9nkO0Po8fvdoh5Z63zmc3nbf3hN/FJAJAFnDvHsp5xfQ6CNyXKcACZ3RTn/M761SuMc2mFrZuqAIXwAu7A6Q3iBIebMyZ6MmawnZrYE/6+6enOQb9KBjCqZb1tasbzNf6D6Z3vc5tuOrnfvpT3/63b4XN4B4g7/NuhXQAubWYlXGb6uc9Lfqwc4vXlLeiT/o6Mp5gVv1Z/mgc1ibvtfmgo3G7w0UPtlQfMVW7TU7zb6rUOBINMFgzJceN0NaWw1jwQX63uBkge8NAJefGhBDB3bx6u8Ga4ox2Fh0gN0E+7sukx3cvceLHKr9Xqe2gLk61H9kAXbofNvVtdhJKTd61y66nio6v1UG9YNj6b6TI057S+UFIIo9zGuDgGt44iZFrhOIvxxb/VV9R/bRrbxWuRpG92gX15lN/Jqv+Zp3gQlz17mf7O37ZIXO7iMfe0/6tDz55MD6v31lP8p7XuamS7Qql211uhokqO7pZlDFhIJKDZQXI915cl53TNav4pM/OtV6dWjNB37RP8vfyNeuNXyAbgsg7vOuY4lUsV37V39JP/W5eKfYpHPVgH/H85E7tSb+GqYOpoyj4xcYv3IOLnE6yFv2UMehGRLPOPJboxEmaNdrtMk1LyjrePT9qY9V3jV+roF2pceNGBX03uyX4+pAVvm2VLHK2n0xdoETgOgY66EWBNi5IsCNcul3DT2D5T7X6ei8U7gidHch/ZTYruN3Dm+jhKVhGb2K4SriCzYqjJTINQ53rp949BUvXMfuBkDMXw1N559SlZngHAlmuE/5pqD6RukuWML3Nztbfnwaa52Vzm15o9d5UljOuZFI36tbOr+M0P185+LqmfKNc5/k+ular8D1BUIFKc43r7cPt+8NVD0Z7NLp9vvqKYbGOJ/4uJ8Zmm6yR58WuF89/ur+BfZP+g2Yl72cvmmQ8vJj+7BW+Sjf33GhvwoI33fswCcgwfFrxuAC9fL4E68YY3WMdp1dY2gVydX/F/jWOaqNwjsaPu2SEdehC+qklTer0znQLWPrfOtHwR9dpe/Ay2g9x3aOdTNl3R+iFQXob57rrOBX83Xpf2l+QVD55Oop96uOaya2TlBl6pWdv/yw/qtI6vIo/F7aP+krx/kfCK1uuqD8i/Ft+995LpZpIK/rdp8c7jsP+o7n6ZQGHfF1jxekN8cNyFePtFKgGE5wusGPVv9cW2dMxSHllWJE/C5YVqfWPPTxLVeXV17QuTQqZmlApNm8ZmmfsGL5uzaqMlaZL1/U2a0NvHz9pHcrC+bNM1P335a3qIRAA5i9tCJr+30bH3KEv+qrvurdeIuDy2dPzmftVjFY8XTPvbarclU6tD3hzl73zkP1SXVFExL3uJaTC4aj2a1E/cMsVyy/dsnDnX/H0cHsTudcAkWgne2+wY3a7p3fijfydSsMqouMvfbz0vxjeaRPlYTvr4AtpeS/7qJJ0K4QaY0QFVB2Em2EwakVVexDm2do/+yf/bPvzt/xBTVTjiZVnypsF5xeUH0du+7sRYHvHNmBJyPEuNbhLK17zi13qvFrBKoOr760XJUhWFnBor9zbqdAWpZWY+f8vYB8Cr3O7mVEc0Cp9Tr7PAUoS0zpNCJa56+8gl9qDCqMN7rc0gx0AbDb1+tE17m/PI82a7f8tc5nDUujovjDqw7txm+XXFkb92ck8DrFpHRZf6qoycy+9zmpjExltp81Ss95ZNlvTyCn8n154tKcE+K47iZbo9RzSlutwKjj6f37W0FkQds+y4qQq85ngzTmEpDqM93uPa+jwZBXVjuO0rj00U9R/e7Wetsd/64J/CmRXn9kq2TGenxpf2l2AVDBFUcWMLHMAUAXRKvxN/bKXsuOC7RryNf0Xf8B6dFo15MdVvHQnaiND50vvS/wu7rGsdcJeNrnoLbgGnG0A+g5hk+ON727RmesLVDoPDsc47ECHDqnu1L6ndMkgl+9wE5YSkImFqQYrWebB2jRbdezuyad07nu3LZUzU7vLRcvbW5Q5ZV9vmtwe6/SsI5/y8Lx9ZW/6qj2i03fPMjmedxPeRPobHbQvLp352j0aJk5e4Y/jAUdbmDsVSCgvCyw0GCe9ysjrtOGz7tTegO4+0/fOaDNpjrP7/ok63/Lbzuu6o7dR4CkyYA6tReI10lWzly+NyfkcPO742+G6WLHG0SqXdZ/9rzBhGbR+7oVZtVfxS5+awAPjZyDD/Whuq2BrOvEVLbN666zDQj3ebT5rd/6rbd5W3XQ133d1729d2zVJ7v3gmE//dM//ZbV/YZv+Ia3LOGOmT6Bj80Hvrq8TSZqg9C7DjX5IAO9VvWt865uucmTqxsuNrrVFO03XdssbG2xih08Uz+HrvnD2CC6q49uEyhotUuDQPrbDRD3PrtiyYLNo8qnT8EofagtNt90HLlA936+wcaP3Km9qXjtRiLK/AUoJXQjtE+gDxN04rr5xe///u+//c8hW3kZAlhfS+gnCNvd87d/+7ffObMFaBM6Tld3Jb2gpQpqROeAEWKlNRZVUw4UayfVGO9GCgxJaatVODCEyH+jfNdZuDSm5N1r9BsAkcntIwkYlqu8zJXIPCN9jzXuOtn73HVRjIFn2aLj6Lu5HEBqyVmjm1U+3eDqAp9GN/Vt5w1wjSc8jqINiGg2Df3LFx0r/r4gnEHBQ5dW+rb3jXfAZy+lOOWP0WLHzCkQoEFTQKdKqxlxAGV9L00vmGbUaqjQvIDwZgbLrzcwUP1wW41xdUaNBNDG8HSeGny6gY/yfdv7ZMvnAnn3N3Y8X/BUGelaf3RtBqiBgxmMjvcpoFSnsfNFJ07Pka8LMC+d1yb3u+/4zPqclhahuftY139BWvVOdWZlznIQellJIz51Th004LxzUwBNtgBIu60qI0Xb0h0gUjJY57YbJrUM+tLz7pJc0Fmnym8NMHTDj1tOV+Dv/+o8uhQQ7XUFg/Df+rCxTr9tnNa3bdxdW/kEWLvUxbKeykznQQaOI+JaA7QDpOabbi7wegoCdTz2X1AqXjo9ZQ0v7dtsimZMAokFX+bb8WiApnUMO//lyQZXjXWvgXRyrUT7yemRzR0mqX1l1xo8ZXcFLq7eq+2hW9q3BntbHk4uyBMcVXt3x/9Ec9+LVRq43GdjKq+TMePfWAugOZC7phJjQd+OC+/uv2EJWeLiLXqjDgZeEWT3OBMYtEmZOr8t2cSjbMnVIa1UwwuudQP0+NpcrG8w0p2P8lP5qk5RA6kcKHxT/F37RLbhzep5+tUxC7gsMTK5/eVf/uUPfuEXfuGDf/SP/tEbr37913/9W9//6l/9q1+wptz99vnHf/zHP/g3/+bffPCP//E//uBbvuVbPvjLf/kvv71vWeHoKxhqHBdf3Cxg5wqNqmcvHqkuub/h57YGMxskqRx2bfVNcNDlXUZgXvSXHjCHeK481jn6gw9/a7Ufx3YvZeHVwd3nw5issxWAdMxekztJOEsm8YqscOfJHN+gUoMQaw2sFIt9LE5ts16NNnNe2+rc9rtWgbnRih57o/GNTKzt8xSOtQf73TP/ODRaARJjSXF2980KbN8pyvbzHSFP6r4v4KzXvmCioKLCVIHs7wVE6Hkz4hfE976M1mi2gABjMyMBZF6a9NW5w7z61AgPp1X/m0XVblQTGHAcgaoRKO81a3MVjLE2glUH2zMc+7w3c3Ejqk/gukCrwLR9u/+37KzjRxMZ6imOKYttujKHZf9/4zd+49uGLNZ8OR+dGWyyYH4Y0Rtxr4G6oLiyakz+u3J6ee3yetuTIan+uLT1/71/r1N+vM7Vk2OLZ0v76oyOuWUz7i+QdTOJd1zVWzV2DEnXwANL+lJQUnroZ3WkTFD7+NT6+xyeyfuOt0kVQ3cdZ9fVr8p95633pxNkO4BSL84jY1xD1zlda9mecXTzmjq0dWrRunzf8mo7pDao2V0oy4sXyHZe9eN+vrLh2jc4Qy9cXqqtufxQJ+tmf4GNrjEEUsxhM2h1mq6ObcbIHLckWv87fvIBrAFsVx/eMt/ykt+7eVb/fwKQ/b+turFg7uqHC7B8fsXr7Fl1U52cZjvpCk7kXjt+up6ekc3lVONlpX7oZq722bhu0Kt8dzFE5fqWMV85LU7p2HuNJ51evvO/+ax86UMdLHjA/TjafQYnerbiwDGCKdbqz84D5fs8x7M6t7bA3Nj0bLp1ATkyL0CEN3aMREQdp+rRXRcupc+6V0YxkrkwL2hEDm81WlsDYGjUtbj3/37Xb/qh89tWO+SaeF9wdPQdzZah/aVf+qUPfv3Xf/0Nu2wel2BaUmpO6uxP9cps0s/+7M++OcLWoO86mzPBoDuWJ1t3ccDlyR5zP99Wvn4K3lzccGWieoEtqs5u8L96vEvNOJPsJWevcnLl/MvPBrWysX2EGzo2U3srHfVRpQP+fbLJrtdEwxO+vFUK5bdb2fekWz5yp7ZguEBGB6+jehmmYOUqtzvAbhBAsO0EyBnd9zH+DPgEoUbrAuBGP20gxXlA7LYSs+PsGJzXiNd12mrIC0av4rhK5IKkawRcj4K3eynA2HOAnZZpy1Iusr7o2hwmx9t4po5AGZGQYXiCrSx2DXgCmvrsVYZ592ikuY6wzWUAhGbFHIcv9KtOG8NQAMSI2EDmbrhweeWWq9WxeV8EqlGo8sk99gaLZMw21in5n/qpn3qrMmhZOAVfvkEvTs7+FzUVPbsZk2Zxr2HT9/JRX81eX1m5DljpWofslVOL/q6Fn81D5aEydmX36pWC6fKs49ClShcI63H4v9mcq3wLaNC8wQ0lm3UCCooLvNGz0WXnbU77jNA6tU9GvZla67XHI/rwFJzrueX96mp9aqZVgIWM0Sl7dZ2P+wGm5Nz8dKmC++BlDhzH3mY8nff7PFn/0Ufl02uUO746R3Wsn161bZrAUu1anfu75qmydEHEXeLSfqL1aCEDZg6Ms0EUNvMCrV1LgKz8XMfL782A4fU+0gM97vheOax37fENVF28cHXU5ftbqVNZujqvgOxJX7lm9VAzJfit6z7Nbx3dvbYxos/kozZSVUGrZ+ijOrWVWXQp/S5PVtfUqW3fX63XrRzdgLtGJ1cH6n/712viw2Zw15/xMYd1xymBbDBk95Jh3fH7XbnkdN2uJyMlu0u3o0E3xtpzOWXB7TZNfo13fbF0if7WF/0yP3ezKhVxdaz3MlZYDZ26phRtLl8WZ+Jxuz/Tr+Xt69Tea1Qmnu5lHn2WwRvN57j+2q/92ptTO/pvN/Qdu/kZnlnflNHDgMvszqndefD5aLC5WNly700f3sxpjzGGO5a2p/G/8lmenNrK0Q1aujZ9uNddMqFCReKmuEM/4MHiUdctlvmjyGOrDDmu5KZrv/E1nUvmGwBuZQ/dVHxcLH6x1qXrpbvrXJrVJj/pl4/EqRVFfIoOFcwXHJfhX4HO+yK4gAqwNaZZ1upXfuVX3gTmO77jO96csTHFQN0cgAmMe49Qq93nUCnLtGmUbNeuvfNNtGjurQ8vyLiRcUyr1Zlcq1Plukp+/FcnTLulQugtWskAYHiGTj/RmeAzqCKf+30Rs0996lNvjhIlsv+XHWy5SmngWXsMhMejEO4qdwZbmQIa1Pnb8d3lj3ApC+5zXBslInxK5tqHC0QBbgK0a+PpKsY6UO5nLOaJIqLs8EP5nMIp7QjwU/Dibt4zh3ulOJ///Offopvj5c3R6CTDVnA33p8M/M7v/M5b+c7O37z8jb/xN94Mytd+7de+K/1f35QimtMGdMqXzaAYs3Zl4I7nySAWXN3j0b8gp/KFzp1f16p8NOhRJ7nBnQJWQREOAYe1pbEF+2vTIeUP/+2e0zWj2+bM5mstWwU23G+AR0AJP1Z/olFBPL04gz/+2D0LVC7dqxPWdh65nB615lIQgy5qNrXOPl1fA4SW1WVAWjO0qhGMhbO1zxtHH2Vl3gUNyWD1mIg+4KcfsmEqU3YNoGsvQQWP/DEuYzU2wBM4rNN+ZaM0p3v6v2viwfIPvnMNewqU52qXyhtASDOrSqtHn5XAtgyOLdwxc6y2bq2Z+jrwdbTcazQzLwC98dRuVKYvnS5wLLjvcQJNdHerK5qxR4M7L/jF7p4FxHi4TgK9WMB29UF5pcExepCjNJ6xn4R9K6YTBJVV5WweyAEHgWNDh5D5nWN+WokEF1Svlk50A1vr5TocO3LElj85sJ2rZu210qN05ojv1aVe+GlNAEa5cXdkVjo5h6jrcDkIO+c3f/M337KDdaTJ19ZozjbOSfrmb/7mLyjpHZ2nR/aaLd13lYC77s6fnp4c7iUrud/2ucsLNqZm18oPaKVPtXN93VJpPPfKkXNfSSf0hBcaPKyd9L2B+Mp9Zfs25fEbl8f0jX5zZqdzdt7Kh/f61m/91g++8zu/892yHKXk4zmPMhxO0f/ppAVcZ6v+03/6T+8q6u6jyNqKr/BHA21PfsgNIJObytAaW9NWXVl6aehId5l39KaP8AgMWKzbBFLxZcdADtdcjx6rfIxXzRma4L8mw/AZna8VB/ms2oStvUs8GlzQGjheU1FQbPc/0v5ETi3F8gRSDRDzG6zjpMyfPO6eXyVI2WLcGYQx9xzan/iJn3g7Z8dMCEQ1rB+iKAjOlNOETPRutf0csfVz/09J2jociLmZwfa/0YsyA+NoHN0cyv8de41GBegaTcfte6OT6ADsU+A1QpgX6AEuR4sBGmAKg8uuTJG4L5rKCMuy7DePZymoxQvNqFwjWV5BlxqD3cM6aILnmEboS3efL82qsG4G91WQpnxdg3Hbzey4Tn+vQiK05qYgjjGfId34P/vZz74Z3zlIC0Dst82LzRPWRJcBqBkC458BHxAYf5f2pV0NgzGWh/T3Zjd6jHMZz/L4BarXQezvPe9mqy4Yrs55cuSqW26UEE/eyGnnat9b5tb74lFKv0aIfpjuKS82Kt+s5Y4TVOoShydadyx737mLhDOcbXfc11Bs7JxbTk7BTvvQgE0Npev6n94j7wXISvfGixsvkIdOjPx+UxJ1S51cH+B1vkx1ARh6oLkxesQBu+RVWTef1fMXEHXszkOfJ1vJRuiTc6ob7tr7G6Rcu9UjlTH8smM47gIne/mfM1V977EP6AyoNTtkTgUCOBhK27rrbIGiMV85rM649q/2snx4X9fRfWpsk+MaTKjMXfnp3FQmOofXGeHAkEkOq7XlkzlllXCHPSXoW7pi/R0+EeCfbvfYu5aj1v6hcwMwezf27hpcObV2tWPpuH0uv1Um27pvCvrjH+OC767epxcE3WpHu7HWte2zc1vLvfNm9/ayLhbmkY3dHMAWAmCyvHtZU9sybAkF2GT33bwJ7NPRMlzs5fpmf4x9tz7WXHRHcDSoUytoUl3WOSntqk8aVLqfr2N7sYhjN1aJFtcgo7W5giq1ncMo26B1/LrA+gIJguubR3OM70fHlSnvvLV9V2kmsHAx+Q1sdI+Z6o1XVZgNtpRGT86voE9bncPqgi4tuk51dYjfVdL1/nio/bk4pxUBf3wqY90Xj9MRzfpXT9fWtgrn4kXHXl+vjrH/mvBp4Li2kg4RuHvi6Y9toygTgKgFyDrwFJ1tmcAFQ1odQURvpGACIKKzjO2ef/dn/syfeYu82XAEUTAJ58XjBfad0eYMW3NRx/sCxCob32UbL0jvpOhPHZhXTm2Z5n1ObUHCpaUyp4KSOi7uL4pvI6Y+A7HlAFP8DKDSBSVUwIsySvNdgVkjTFXSBFB5GkexAgKU2WDG/1Xql96lcwMOPac89iQwdbZKZ/81cmVuayDKgzUaT/0sAGG4RPDH55ujRTdHh5aGT8Fv3igk0fr9P2dhvG3TH4B2hroK9iqP0rNZMdc1/gLVa1hfOVGvAGOP6+tVc78LlqpU7z2vjnH8U1bHf50juqSb8TxdFzgG8nddoIkSV3Gy69ap1Q/GpBHmJ0dA39Y2r5PT6t5X83F5Gy+Jrg5EDIAwpI08P83R1ftXz5F9NJChHX1sqMKJFcwRoOEk3c1NmpGsrLS8jzPakq2d24oPegeor04wpq55K5CsHr76+4m3XwW/rv4x1+2361171Gvc6zSDSn5H3zlHgI1nYO+FT/fb5oYj3ywRW2qebLolOHxL2OmKOli3/7WbT3JVMIg+Tw7tDb5dHeK3Zr4KvBpsaB+f6N3r1dbUwRTIXRPI2fEqxmRrOVYco9qkVjPJ8Lp3H/OmX+hQvXX58jrcHJEGnm5A+MlOlMZsXitR1nY9skZOBI7I7wX66Ml5IJPdMbtl+q6HLqOj52ku+VEH2fpysjB6Ot/YNzd0EYcLFqQzONSwi4ytnbnZVmPWN+ezqQII+sjRgy8qfxf/Xf580jVPjizdcP/T1ydsdW3KKxnZeRw+umdzwfkfVt93WeO18h6ZnP2RJGF31wdl3mhUp6k83gqWNvqTrX6S9xu8ue3Jqa0uqq0jD3XYip9uP2RqG0grhryYq74V3dZGJ7mO4EyXROze3Q/oOrXucwNm+t45WKN36shyusnaxQ7G1Yy2Vvv6sTi1hBCT6hCHphmsptc7gZRvCVSlbF0s5VoBnNFcmdwiP9/3fd/3wec+97k3h3bX2O97n/KfYtK3GY0pkkWJ/vyf//Mf/Oqv/urb86/2WnnJ7r177fOOa0SzzNFJ1gr8ejwjaSL7O+e+gFVDkwuyOYeNbvhcwLHPou763HPKmFPEo6cMXhXyzpuSngLaGgfRToYWLUSXPY4Hk1/DiG8YCwZj507RCS5Uae8YjlzX5DYaX6Vzo3BVDk9CUcP+JDDXGbhKpQGMpyi/uX5yMjrXVcSix8D5xrr5mZJX1tP1nXeNqbLK0XURUdFnc7dryxjsv9HWfHaMN+vKwSpgx+PodwM6/a9Kug7yU6MUOZJ+01ynBqq6iBJVTtffKc59Rpv2sQYDKJV5EtDZ/5unAaJly4EdZa07fnM22t4127vuKkRWHr5rTE8BMIwlg2Cs11G8PLbfprtWbtfj/iRt59lNU3XAxlqZLCjWt2avS2OgjawD6qPTdIosrfOne0aLgfzRa5uLWDc+/WDtHB7jPHS9ofVvdKGAnfVDffSMvgto4rFdw/nGwAkuOL2ye2l+gwBtN2BSx4wtaeWAcaOVc3svvFAa2YdA1RFbMJ4F3AHyvVYBsrkazUfTZuzx6n4XPFbJwfHY9TZXwH3HTk898XD737kwz9UL5XnXb4a283Pp3oCP3eLLCzdz1f6xewIw9z6AYsvuybJ1bGg93v+93/u9LzheRtBOsPrewFarmATp6Rv2u7iiDl/1Y51JzsTdxK3jq15Hnwal/bbxLmnQxobTIzDABdo3ALK+KTnmDG6sLWMEzAVWiq32Ph08fDhcaO8ASZF935rO6c3pm2v/yOl0FUezZZv7PuxE7wsCoZXM8sV3jvF0DPOkwkQmufvVPOlymbAu8yqfO5dtujuody6rM5ptRA/3a9buBqTYz91nuHp0Gn2GQey4vlYdRL/gyfHz6OB5tmt9hJdM+/STYH5pJJAg4IE3yUCd+M51ebgYobi6NJ59vHzuHLK5a41fBa3hkeoY9qG2Ho+0+qsJEnRmm/AXeZTQ+u9JCLJhe2dn7YjfYG/H3362bH50f2XTuu9KZaH4ks6hX5rwu05tMaP5/V9SftxIkgl6KtWtI1tG8F+jHK7fSHMZdaUJY/Yxt3LKKSnKchPHMbYJkrKPAcpv//Zvf3u38JzQUJplDv2rcqkxa58xr8m7USFMYw0XZ88xaFIAuYYxLxiqkSuNCVKzOxQlZbnvnFmgj4F37uiyctcFDQA7zpH+WX8yhSNyXBpi4q4hWbMmaM7alJ8NATBwhdNGUehap9argEi72QHHMXwE9Sm7ha5XCV5l/hTJK8AtILjHVjlUiazN0Oqr6gGy12yeOec0MD7O8z9jMlkAthoVLm+VD/WtfX2qXqiTeelfp6y/PUVJL4+XfpT80/nN4jQgJcDjmDoQ1VtrLR22c+NkaXMx2k9WgKn9Zn2PtZnTMft9dF2QpgEwDvrut3VeC6wpF951GV+8bX4uQGcwjG/Hrh/TZd1L4AL/0rh06/x4v6W/DZqUzp2njhX9GyyQ4d71yHvXQ21M08kyzs047QW0W2JSJ0L5cdciopMxOBcILX/i6f2vHLoloCLut4z5ynIBiN9uAKb39U5+G6C6ur3nVk+2L11vtXcZIePY2AbwBXJdr5UE+FzG1jWnN3bOfts1zDcgR5979JrxNfhYh6T8c+fi0vUVnfsqn/v/6hc0Yk+71rUBhKvfX+mwBi5aOdCAn4CYslT29du+7dveHT+b2sxT9ZRA5j5PH+Hf0XkOF9APIwGz3e+heKF9bvavu+3SRQ3auFYD8XUk9p+NOtsqp60kqu4pX1QPkUu6s7uz7jcOr3Hfc/dO37iPzfSmf2S9bXbmGPus7D7DJ3X4mone+XTM7mUe0GTXUH5aWSZTgnnFJA3c1y7XLprHykNbaVw6Fi/c5MwN1Ffnl2cqo52/8oqyb5U2xiw4JsguKCBwo3ph5+K/2YLpG/y9wBv67Zyue2+/Ou7qheKGi2uK0chLK0thOgm3tvuYNnN0dUbn5OKp6nT3r9Ne57z3ocOb8f6vH1YYePGjGtwQZK4T3f7e/utD+aCfi6XKJ/WD6qhfW1m93TLqLvn62JzaKkUduhOl9fv9r783GnmdWg6PyZzRXRuYEf2zQQijUmPHKUI02SyRU4S2yL8K9pXRvcahxz+9gJFG7+7E9tqlVaP4ZSB9aqlFGeOCHYq6yrsG8ZZsiI5ufcoaYWh2sw5cN99oP4CINfdi6GeYAVyZvY4P4NPnC4iuo/SKhleBu24XpD85sJcPbpTzFT9f5f/k1D7979oNilBAZMN9a0xu1PyOHZ+KkON/83HBQKNn+uh7Deztd+WkNGw/qpjvvPTaPf4a3BtQuJ8ZsDrFlyaNRjdrh4dnGPafXTQp9L3LWqF/HZR9lmXQF/cb/RfJ3qZOCwg1+3sDII3mPjU0WNR4Dm0zFtd5vbxweQ/vGAtgVXo+BYnKj9dAVf+gqwBA14maJ44rPaWvHFeljDuvpZLN/JSXrQ2tM3srJ+okcgSfdP6tnHmSr8uvr/jTOO65BTQFxpdnn2S1OslngBstp8uXQRlIpE89AmqNg7UmmNFSSBvizKEq2ELfPqf80uTy29VRxtLj+r2ycGl17XR/byte4TwAfM3sdL7q3F4Honx+9QBHX2l3n8awtjkYeMfHDZjo6z5zhoshRmPB6KvDX2WtL61un28Aov+/4nP/4VfA+tKc3emclba9dgEsmuydXsDTzVyTqWKpXlvFx35TvcFRhhfpfJjHfWx+A8M0w8zxVGpfR4h8CaA1oFFHwngbaDcPzin2LSYx7ltyWqe3clX9/gorVW89yWf/r04rD5mb6eXpX9hk4yZzeAD/7n871/Mxdo3pIwEzSacbXES/qweqCy+WMZ57nnblvcf0sUxadUR9j9LnXufp/JswrI0k/8aC15Sxqyz7g/MIPXy6zza2bJBIFZpWP+zqjC5lrCy/T5/3v8rBk1NbnFQ98bE6td1cQJr97SLZtKgZuQtEb+Sn0damzDEqYGLSGY0KT3fHa5krEGW9ygRoUWpAp2BSpsWDvBFaH43tto6VYqKQahiU4QDHTac/AaQaEwIu8l6n/Tok/ms0huKocV3D2FUSjU77b6Xeyr5XNmXH4NG1WUQ7wtXR9lkflKbZKAYQdUyjY+jLqb1jLe1egah7jLFTBhTsdQLqXNYIdEw1yD1XX/12gwUNTFyeQocGIkQB60BUyaA/Jc3gUmw2utAfGZXRXyahsllwXvqVN2oMrnF7UkJPv1+6FYjUQJYWT070lZ32z/m3csF48DjZaNmP3RnnfM5x3GsOKUMwGha8THfYnMuzJekE5YKTnZXzd92RftBL5rCGkE5cM9dosLLjZWtlE53/yhg8AfN7nMeioVODjb231h20qxN3HJmXmeix5S8gcjS0Yz2ZUDZ4QX91g2Cn+d98XJqiCzDJ4OM1DiA9U7BBXp948DpX5cf7+2irrx0/e9aNc54i/kBzbe4NbAJAAGMDiXufQzV+3ppDpag7ji2VZaRT5gwvADmeLwDaPWWbGvy4TuV1vkufSy+y2wqLiyvqIBUMFYzdoA6At+sZc53Cp+Bo57qBshuAaGYY7ZUGc2KKe8bfK41ddcLKYIH5Anol9Mav5JIc9dq1a6UB2X1yXuuoobPfS+ductm5Enjdu/0aem55Wrl357GBan3kuOBF+lvVQHkMv3RDw25SRNb2fbSC73bMeNnGWx55RY/bbdx5Amqyc8We5Aq/CiKZpwbUZJTpHIHl3cu8O/5untXKF/dG17sTL7pdGaMjmgV7wjhP7eKfym3xbNfu7/Oqkeif6RAbWdpB3njXPBvYfdYnywh3bv0A96UH4dDqnatz8HD5vM8ariN6S5t7zenNWxVY3Vs9LutfnHT1UuemSzsF3HpOdxRWbTKaLqhtx/I/+DCgwBdyfYFH9m/X3PjZZ33o7ty1efufo1xM1vFXN3SubrAEz5SO18Zd+/BEt4/EqR0o2wthMXt3fatw3MGZ9Ov1dxfaRvYbzTLAKdAJywBmAUkXm8sIiGgCON0hVlRRjT7B4Xy2v42Q3QjCjeQWpKzZhEP0b7Tq2pUyAqXQCH3BiXspp8agdTzQy2c7fHo5jkFHQ/0gOPovcjk6jUYDROrybcGupLWACgAAZBljQLNjMq5mVIB3/UVjSr/lzXXqzVsFqqWra83Slj/bes1ey/GueZ1o/1FmzVy0FIMMOb87LBpDz/F+ge6Ox0v+azkZo6LqwfpclQmVr17Xb4DIpZFx+nwjez2ec/e+RgZ6X79fULVGMdMxN6JdpWzO/n/s/UvPvV1a1/3elKDPylpZiUTLYlPsCihEFEEgsYUtYsMXYMeXYMMXYMzTtmXHnuEdmNiwZUMTIsQNCEaKfVFVIIVKXNFktZbKyu/K/fnnW8dzzn9V6X0/KysPI5m55jXnOcc5xjGOze/YjHH+tw+dw6tfqlwbjOAIOLTilikXyDq9WPCmB35NZiYve01vOSzDS/DOIyrq1D45pwWxe57f+qX3SrPLm53fvQ79dn8Au2vten+BOrq8zkoDP9Uz1sX9blXJHFqgwD4z4IduwdcCD+QFf/fgua7tKye/dDD/tR7yAWRdJ6yOUINCdG8BqPblL3/5Hai7GdunIB47i8evbF7bWpvVgKLxjt9Wxjfe3B5YYKj2ZPy4a8qHW5uWJOOB6skbPLh0qt4sX/W9db7BqdL+BhP89fkT3+MbNBd8Auj61IM6uZcHGsyvbrKeAjgFkRu/Nd+1A6HWeVug4J9duwAVnNLWfZbdjkJ/15bbm+n+ZJRtEDBoVgbvkEtyh1Z1pJTLo4dHRV26C6r2ZN9LU1tElCrf4Ic13TW3jNL/tnTBf/rHi/ppdZr79rCmjV8w09xkwPb7i8+ahOHQ2i9r3y0+K09bM+vUKiHOb+UZ7wlW91Clq9OeaOC9AAEn+uLz8rT3le22V7/Bbxvn+Lw81UDKggr0s8c84rXywOyqA18FR9Y/OruOfan869PYe85KsdjVUddB9tvh3n237UWvGn0lMHydNPIrgNrsv/Hrx/ir1wQmJC2c0o2H/0QeRUouN9duM3R2EF5xfsba5HW/s27jYd/hPfJQP6M8Y72N/drep/+bCIJpa1M/1vLjRvFbbvRkTK7hvWD8RhARshkHn2+SnlU1p9YeE4zQrC+jYjGAHAvZ31BWt+Z87RrfGwFuRL/GV/815H5Pafl96YBhbrvG4GZk9OVwEGPiPBYU+dvMV52Rzr/9XEfVWjV6ZO69Z/dEc2ybEevc0LEOivtcx3J9MAqNlBuDv09CVUPeuZbel6cL1p5e/e1Tq1KrHDRy3nW4ivmpH4Cp0XgK4UbsgdVG92/2s/crHe/9n3hyrY7+kxNcmbo0v4alPPGKpk/095ve50mhAiKARKtIqrC7JcEcG9hw3aVLI6n2mzmMCfhRIdJS2Tp/5lIj0UBe9y89rd0rmpXm9zdKlYCPlqBWH5a+DSDUqas+KY2sc3l+348GM6JAjsog/dLtlUt6R2VPHztW8NJga3XcE33KE66/YO/KxZOeeTLG4wNzvcCqOqfyXNnpb/q311+91fGwje6PxtaglQfVSzdI4J5o1nW+9CVTrr14oHqk+oMc3LmWTpfGr5xaDkHH38xmg2NXfu7/vXcDG3RK7dva+hak5Szp4+4v78FJsMqdF6zQAMCae17nsNjkjr3zrw4r9vJ97YzxAdZPOqeYBubo1gK/oSuuDW4D5OfYtPJsv5Wk4Dw+2Sh8b41Vre3z6dA6neZeZ6T8Wxk1z+rnBqZbFtr5cyjwjQrBOsz67V7Je6p2Kxj87m5HurZUQP/a2zoRTzikOp9cFHfXceV0lQ7us3ELvO/9dCK9U6za6sRdu4Raq0rK451f5ab68gkv3Hn6rDxID9qPvUqLtuLN2qr2aa1rS1yHN+rYuS9eq4yWF/rUgH33f89zzGVwJRUEJvFjZZ8TORpve5QguW0OEk3VCehbvFVZuTyGF554q68GM68P9pE7tZ4FWMVdhXQdkMsciIHxn8B9nVoMuoUbsVdqtxLYEd1zUgu4KIBme+uM7XuKr2WbW+wyUhekBtk9CgCr3CiiRi44eUBcs8Clk2jkjXgWnNTgU9DX2Wup4H0EScti/LZA3nuKtxH/OqlKtx0etc9l8HswBgVWgNlMV8etMTRd15ZYuW8jmIIepSWH9ynCiP8omlcGtQayc7gAreO/SrNCeYHFNQbWrcalTtY+f5WRpOwAjRsoAmQLvslYeYwMlpZVUpRWAVMBwRMwLW2/Fqe22aAGhJ4chju2u4a31SFtEOupLIajRGfUMStPdM0p4oIwJeBkUqZ8clTntjItmnsznII5+3762OnK6Gx8MlLva9UdXVtGTibL/GR4Lu0Z5dKiWcjrxNBlPUiF3ihQs88KT3FwC16qj1Uf3GftXmerwazy09XZmz8erBxf0OcezZxc3aE52XxVL82g9v61ZXjAdXjzgu0LfJ6CS+bfcmSOypUl61qbVl1XvVDa3oBraXRl8tK8/3d9GjCpXrsA6X7epnICP5tfX5dXLt8aV507/FGdYeyyJ/dQyAaABbhUhjjoaS9BsOsINyNP9moPiiPwWIPl1VWvnNrSqJiNHi64doDkba6B1W4Swns8cwMYBcScVmW+w2wLvNhTSF/dgI57eWQS7NCtHypdrFvHgx7FEle+aj96gNX+bg0bILRvf+89NWT9rlqwAUv35hyiMx1sHndPbasAy8/VhcVNFwfcoNqTja4OErRoSawSY48ponPrNwjEkks6ycFee2194dH1tXUiU7OdxtA5CLb0c/O4Mv2kR6qjShOZ5+ntVbi04bMbQKyj1uzm1Vfdd1xdTNbRyW/2frwAY9hySd6/6UM5WzZ8r9Fg16oQa+DTGKzbkoY7yHKfrXLMYbrlfXJKfm5wpXS8gZA609eZfcIO1csfi1Nrf9lAmOOdu8frHrRUZ6RA3ft64hco29/jBONlZ0dsh7Q04wRw7buBvB1u5LNGSTlrQKFSmvWxhbOnVhlgnfYLAG/d92jC8BSI7+VUPKUABR41GjI69zlYWkFHgUPLV2RZjAmzA/F1hCiM9dM9TIC95w+aN6eVgzQ6bbzjhdHdvBrYaHChwQrgqsa5kTr7JEo3Do9xMmoMe/fIei6g9fG7Xe/E1I7lKQppDdtHQYv54KELaK/yus6qeQNJ5ncdQf/fqGzBBrAF6LvWXkUZAUa0ZZnmi/b6NkZyU7rUMTa2JyB6wWj5uO06DVW6Pqviq4NpLgUVFzDvVWfnGqAbgTSePiqDcUM/ck2OREUZp72fjNBXM8T7/Uo7PRuaM3udP3Jo/ndNp4e3P3c6Q7CjNL7r8crIXF7zmRIxBwOVjgW85dk2dBaFv052ndvK0vryqKk+fxY4bNCr+qR9lDevs93v3b/By77wRel3ebV9PvHxbQW/gO6Vn8pAs+AdE53oHheoXGfRva8TZq1E89mkZv87HvNEO2t/6YAW+PqCyl5TnrpOzZNevnz4pF9v4+zZJsC+sAOcP68GMMk5enReskL6qPMnU+W6glhrwM720Txs+NZAYEfwqoeo0Ec9F6FJh/Ijp9bcZLrQobSv/ZLhbsUE3bZ7DehvjHdd19giTo5xdb/f9JfAXnllnyv17vXrYxV7Sps3lm3p2PimN4ptzG3vp8fso+R8dSsDGZzjZO/5dezqlOB1GUVrNlqwxetj2BX97KXXn+zl/t/YG7zGN90uhyfWZkvw8+XzPv+8WNu9PTqK3brO6513dQqs3KQUHMLBYi93rb3DDumCq42zJ+0Pp2yf+f7ut3WQN8/9zmnt+94ef8FngbpWLFTn1N5YOzTr3GH7BheNYfec/X5qDdhUV9VJ63XX0a2MwfDG0efK7jOPI6Q/6xyvsRcNcqlYnX/Ug7f2WydPbzvT5z73uXfytJPaBWMEu4vDrbPq3bXaaIGb2hHjqz0pDliTpW/g+2Nxah124kTcZtueolmaRaqyvMqi12Eizx5U5+2Uz+6NcW/MtL/38TzXee64lRVMMe5egCch6Z6wLg7lYw7dX9TFqrEmIAS/861CaFS1xr2AvDS3n8O8Cvh9BgBdgAMQ12hYm6eSEL/nILekVRkEgcT8F4S6f/tDtyf+6IPJ7x6z8s8FgU+RRkGOeyz7k1G+QKvvC37uWt9rn9byln9UAdYBqLNT3uLIV6kZQzMo3T+LR5oNbADmyjNFa631eR3Np6DA7eeCzScn/dK8APZm9s25AK908tubqS8d3R8Iaba88wHcrdsF+jeQ47e+5wDve1sCXK8/IKoO2nVO6Jz9nVHbQT/2k90ATR2yO+9X6+Pegk2yilfO6lC4vrxw14CuuxUgl7fdw+N1nMxIv/S+7lWH2mcFCpcv6kQVvKHhledG4Z9oWrl4cgqe5kiuCsD9/knXVE6sxdN2hQai3LfO652XcaM5sCnb0TW8tofuuzaxNH6i07Vflx/ds3MrPZ7sVwOE7wNA9xoyJtPBCdr35LW6rfdsK/aog90sOJ5vhUjfm7vHFO56mUXrAejfxytaD/gCbQXgyKCxet21oF+qd/Bo6eY6B0SRnUt7Nrb7iTk/6M6mNyPlNwKUTunWxzAoEL9rll1C3+JMh535HHaU8aW36wSt+V61V+0lmuF/DoeMKid915mDwFxxbkuS7e+tw3LpxZnwexnqe+I0x+/yYvUePjS3fl8ddmWuVWJ19mA+SSR03bz6LGXP8933K+Gdju8JvRxbjqo9wLvGIV/KZDn3znMRGFlfTrgujRuwL5+iRfFg7QJHroEJ2xpvq86rfaFTn3QZWlXPuHcDYU1+dA4cSrT5L//lv7wrUZ8D3sy9Z7rv77K2aCK4J3i0Ndh9+jzlBgz7EsR7qs55whperWa9vHbX69L2Iy8/dsgBghZI3OxbF7CZzQtypa8piN1nymGgTbZWhpZyvobUZ1OSDMN1pCkiQIjSXL8eSLwF3T0c4OJYd2DUfRiaJ+BxFxINNpY+B3GNMhBNaST2yQg9zZlxbAkUQXiVjWzJ1X57nbyNl8KsY9uIymjU7JcDLrZWBVVlUvxR58D96lAUvPR5shXmvoDvAln9FOAyEnW8q8y7vhVQY/H3CTwVwPaaywOvHNoGEbr+1+hc2epfYAlPNJpZY4b3yMQdfwFqnctLrxr4S4u+f3o9OV1PfVxnxjyePr9O93VqK099pEPXo/MnH3Uyr/No/qVZjX/3yrRiguFas+e/Tm3BfeVvfydn049ktN9fvn21Lm3lUc7NdC+DjE5PTl3ve+9NT3Lub1S8DlZ/Iwhjr9mVYXQoLe8cyU71ZYNhdYjq1Palv8vfl26lRdfNPW8rWHglB51zbeXazZSYL/o8yay5dK3ch672WZ+9iAcK8DvGu4Z3zBfcdE//5fGr4xqs67XeW7/K7lPzG7a3B7KxwQ4eM9+OTx8NJtyxkuE7JtezhXWYCyr33p4496V7BDt9zinDX8ZW57o2/o4LPZ70euW3Dnqbg3M4F096hd1WBYZv/Z2j59BLNCbPsnQN8huHsmwlx6sooWeLM8m0BIetDLKn+9xBmC2JhDP3V9UI+sIwvQdgv/FuLNaaQ7F5LkEzvFRdgA83hmbiZHtdw2FpMHf/OzW7zR7j8t5TEOM6DfRp17K8UOzAoe0TR7rtCY0c0rq/ysXx+w6svA7T7tFHVO1/5dr21Kra4dy6zlNOdn/b4/BZ8cK1E77r56Vb6b//h6e+2taeyhKeLV543/XVb8UklW1zM3dPedn7/9eHFZMbr2eOc8j5HwIBDdbwS/bZ1mafCwrh76sbjNeWzwaI8MHVL6V3gwflt9Lk63Fm38nA13PxmMrjIxDqPhqmg2hEXmmeQWMyikdEa2XGUwBTmPtbAXUKKaXReyvd+dZv/da3lPkUw8ZqHAyPE3iVoVCYhEZpqtPCnBi7/ieYFuUa5Ccgc6/bS2kIJY7pGIhGYN/XXFMnZfeR8cGoN4NUgdWqGBmH/UY0kEG1Xu7bAAZjLNPb6F1BU/eR1fFkpAouK9zeT6lYz55+qr0C1v73+KdmoJ4UzXWa2vcFgBXkXltnidI39/JAyyQvmKKUzdPcbxSZIVHKo8LAPsU6UHi+h/mgQ43bvudU+N5Y6jDWsTHm0vTO98nhapahe3YYBOMpOPe3e73sv+ka9X5X9mr8Oibr10d80Xe9t7GNzwV4apCMw/iciFnwjOdLr2bY2sx3lSu/8Ru/8RUZCuP+WlsB+3X8AO3pZKfHX56tXmmJVb/Tl7VtQNTLnDgclSWVHqLvff5eyyaBnJshq3Fe64nfeKDAihxtzp1H967dqHuN8w363PWoTruVRH5fx7E07l4515eH9NNAR3n0gqqCW3Smf1qdQS/fiPx1UNHzApa7x+3yT+lYW3odgGYM0a97zcrPt7n37CyH3fYa/XlKAT57FRzqejWAdc916Job/8Y7R0mGa/I1nLK/wx+f/vSn3wUhd1K28t79zh58gUp8Xtux6zjN1s79KyMF+dVXsNXe1xk1b07NkgAq5zqWtpYlW6fNcTrV3H1nm4IqO/tH8S9ZsS1tf/tc6937d3/3d9/Zzo1xaw2nsBH4xrNrlTgLNmx8BfhsMwea41VM0uBITye+tmk6Gy4TALGnuk8VcR//y66hm/HtN3eNrM++05SO0ht7qcxokujaguo5NFVibRxz4vUhGIkXZWetk99zgno4om13nPs6SK51iOCu9UimVhjuZcsMGVK2zD6VPy62qyz0aRTmN/lbhvna5m476HkwrUxsAL33xtuVvQZH0QyORls2ba/xMnv4pS996Z0s7vpW6nH4e3hZg/ij2Xd+53d+8D3f8z3v1pxv5tFXDWIWHxc/lW9upZDk28ZjHFe/XltaH+cjd2oBHVnF/U9gujgmhjBV/J04QzyCzYGd0E9ZcvDcx/WiNnv1kJcRaCXRI9aEaE7oBMQ+1ylfz7xqLXijoHUkKAqOCEb0e45xnbobUbbwmKLR0zpvjXJfRjPOa4i0RtG8N4+nKIc1a+TzGl/ApWtnjDezABwwAGv7jmFoRnTtZkJ6aJRoKiX2BHooXnO7kciO+Qlk7vrxwlOp+DXIV9AaScMHT8q/gPaCtPaFHo0iMsB4oc5OM3Gdo/4EeOzdVLbJyJhnTw1kXK0LB7IyejNPNeKNGl4gb2x4/kaOKbjy+Q0KXSX6BM67Th1fQfTNmFThNnJIXhssqHyRAb+/wSDGqjThMOgPAKtcW4sCzYKN8jV9OV25AGDvc8H9k4N7+bprVj1C305elJJdHuzc7yFJ1xkT8RZIuIErAbQLCrvO6NLf4KcCkFYg7LU5vKocoUfMweF6t4+rC7rO1cPXMaB3Lo82c0ZGWg3Q+2gtf6ws1OEbHZRnyvzh2545gBZP9Nj/ghg9bZX+0Ar6b4UJHaCPBgzQB7guH149UHkv7Z706sUYr9ZMVrTOH4ekWKWB9wYarh3Uf9cZXwKl1Rvb6jTwPUwy3tx6eebo5Np9OXZ9fM/A7J4Zj+ZPz2FGF9gDTczv6ofa0Muf1cfa+lmVSJ3cp8appOfXn3Jl/DqcZ/w9BdrhU3imJ5qvsXdAffcV0wtKfovf6GA6DY5Tmok3uu2hdsGY62ToY9f0MT6cT3ziNPzi1zWViMZvn3fXz/r2cZR49vK5AGKdsyY78CrM/mRLNbyinzq1HP2ejN5te/auF9+SKw1fl8bdnnNlS/97cWzZzo1tdPyd3/mdN+dzwaPKQ/W1v9cfqXzQXeTGQZtPNrSY7xVGq1z11T32166yZ9VBeM019PXo/U0fBvUlPdCXb2Rfc51388IjlVdj2EtVQ/WNubnW+K4fWHyo3RLki8+6Lk+8+ZE4tZhblLEZ0ALIevEGcw22BVZGMWd2EUvRv+47RfAe2gKI6m+LNaL3Qc27zn4G9/SXI8YwlIk47xadAa5jXWW91oySxUCD69w0M1Dnq1H70rzCYfwXUJUWNeC9TpQMXXtYgnFSEKVH51ED3efwVQlVATbQUYebEHvZW0Ph11h3TlXwVRDXuXn6bP0rqXxFu36uNfDg//tdge0FYVe5FdRfMNngStf6Rk07zjpf+NKhAM2mop0xXJ69iqc81Pk0yPHkON3Ay1X0TzRt376nM1x7x1Fa3Ps3cFAHu/LWbDyjSqZ7v/JglWzH0GBUgxTAS0v4CyarE6wHmbr0d/0Mt2eGNzL+xNN3fb5W4wD8OWfAeK6D9yRr/a7R+ScaFdwWxJeuAG/3He+77kO7ursy1sMmrty1yoIDSBe5/omOl8/8b9xd4wv6u+Z1fpote2rmuVZ9AKwqLfN8wl0zupLVPnOT3fNYlM5j3zsl8zrCBemVyzq21c/uy34K6nim8j0/oPavevXq00uj6o1Xjq0+ZT5aDtpgSHmzdrp6s3qk4/I/fu8ZGtZ58gvrDJj7XkYELS6wFYjf/w61vJmQ8pZMnHHVUX2lo92zOq42C48ps6UPnxosUZ1HNvEsviBnQPPm28M6bwClzpLgiKALfm7mvJkyDrEDjNCanrI/s48He5I1coT2e/VwTvRxT7gIzXqAqOwsp9Yc4ezStPu/b1l4gwwNdMFxXbNX2Kny5LNuk/MMcXzCzgmo20drT2Zpce9VH8Ladp95cVDvxSHa/9NxZGTyM19CdU9/W31y512n89rkJluu/bvtSU9de3Bf1pCzeWXfmOhbMuI6ehXP/r8/DBzd+8+p7SFolzcqW+5ffV/syHk1p+qQG0B4RbP6hK9wZ2n6sTi1a7Kq3/7t3/4OVCBoTwlk2AzIZuYaOvsvF1lZ5G/9IlInt75FXWYI+kBvoJ2ydyLexqZ/zls30FOaovNrxifSpl/ZkX220oY+Y6uM3oed+6wlYxVUWeDusS3405rRIZhvC5f73rJN96uQoLmXxyTZ71EGctABZSYy1pKBNaBgfSud3vXbhN7oK7oKSjD0r7JWU0bLtuMpJZ9XuAnc+5xbL+u/PQc3YneduVf91UD5v9/V8JlPnfrytPIn199Ml9bMVA1A9/UAAwVonUsdW3Jj/vrDW3hU9LD7yI3vybFpcAsvNihVwNr/tWbsKcgChtLZeEsX3zF85ZMqTzwDBHk5zb20r6K/oFUf+NnpvAwtJ6zOVSszOg9jwN/XiS5P7rOVJS7bM7nqY7tKq6eI8tfajGF9ySANqNh+Udm4/KO5BghuJqTOAF0kc6UEzaMd7H2bQZ4NwN/7fM6b5+ihNVC4BhzNgaCDGoWuw7k1XulVAVrn1QBIDXjXsvxZurRapQGhBv3QRDCwWfvqJzJ1S+uVc06nf/GLX3yzk+tXtqROBN7cd85F4KyZm7Mk6tzXKS0gQ8dWfdT2kBFrskzj1lcA+smhwmdPji4efZ/zf7/zP3uEN20vYMO61caYm3mwRg2KdZ33W9sDANIebjMe31McZofs3ZzuEWBoMN+JuOubfKxvJZazs3vkhnlVz9exMb7akOv8X136ir4b9+SpZc79TRvZbSm78cFo+ytj6sAkwH0YAL9d+aGfyNJoxonBl7KfxlAeGP0815oecq99Nv7c3123Zt9u9bXAUANnez+emlxt/eyZnf7aIylb1VZbzDHrUyjwIPqScVtdrsOrT9lL48TXAloc9WZM8XNLiasP6GmHxaJ9nxYyeuxxN/vMabieMMJZhUPZ4r1Xeo2eT1ho18vqr5/xxq6dDKyf2US2fbpPwMJ2NWNo1pMcSMaxU4IWsO7VP7f8GNZ5XyCzvIvG+IV+7ri6VUy2VaICJhPUwIuToT/1p/7UO55RFUDeHMTlWbXkRMk/XV0nVZLyYvXayCbK8ErxnHm3KocNqy0hC2hSh/pjc2ptaF9rlnVMvcGLQmHwRgodA06QphynKOZQ7dmzi64oF8FoSkDGnE4/s/8CQBfNwrR+y4AQKsATk7jes+GaCgcSOKSExCl8FmDCCBTUqQAoa6wtLMboeNDx6fTjOrSi5gwnhd1HBzSCQ1gxr+yz7/f/jO+UrfGt7xlKexIYagDIHudda9P8frtSSEBqx7IXGEzJ7r6UAefS2IEARntCtzHPKLgH4ayThr9uZFlrAGD8NV7b9TUmXR/tChnAcks+/K6RuOvcNWLXrFpP0ENPvIcXWhKHb+zJ5jz5jTHthec9/1TlQsGZ3+PbS786yN3nUbDZ4ECVeAMOeK8BhDrImv4p+jpllPYNPLjv+u9ebgDvOmDm3CxdFaxxXUMGlDN69En1RWnG8D6BhjqtHPAnR7f7cxoc3Fh++7d/++1Z3XW2rtJ/onH5veNue3KqbeFwpsENihS0tHxedL9VG/YP2m/HafaYDvpvxnn3Gb+vlEx2BR+jiRM2a3Rle/Grx6Hg5WbRgAU6pyAcCBT0tAZdq/J517OOWUsErxOkVKxZG9kmQBQf4PWuU0GZ3zoxtAFTdCNLN0PadaUnGpCpA1tatFm7K+ttgHEduF7TwNLNkJl/9U+DYPd15WGNntycBMetNzrhedffg2GsbeWpumg8vaBTy+mVRk6OFsBvBnz8PQw1Pvb8yfUz4C4gxxl37ofKht1DABgf9xE5DbjcPbXGjabWuEHAgnlPoZB8eAogt1UW6MvxVh+1uGbsnou9Ndk8WvFSfaSKq5k99zHWfefASmNBb/eD8+DT0X/05eC06snvd7/hktpk8i34Rmd41CEHaXSj75Qp95AlZcj0mseaoF1x4Pjoic9HN05tn1HM6b5Z77t21QW1na3Q3HcysQ7SkthyFsHlD78jH02cNODSbYf1J2x/kUjatfbsGp/+/d1aCnTg6+oT9y2WhinZh+rdYoc2j71TMt9XHcPqieoSurZ/rReeNbZihK4/2vw/PsTpTZRVr2+NOLUOeZMwxFtdtyYG0FFf1aUXi+Kz6prb6PDOCY+zq9bsKUjwkTi1ExIKiSA2y9bI7t6LzDyBJyCRouTgAS6yRIhjEbwYGwZftIgj5RlvLWUThTF+TlvvizmAgjL+rle3br9uN7u7TwWV0a5BLviq0nkqP7tR8ZulW6vQ1Wmp01EgwJAD6fZF66tMV8PBuWRkJxwcNQZ211N0zfihAxqLyKJJDx8j3E8ZqCqj+/+lfTNgMkUVpGuUe68L/u+1T2N7cix6v/J2My0dJ7kChAqafd+yrY63kUCK3nrW0evaAsYXWF6+eQVS7zVP393vr1N87+kvPiiNn2h774nHGhXVuu7NyHePUwFqA02Ax5XTgiPjagALILpObP9WuT8pcZ/tPgsgeaj609o9rcWl831/edj/ZLdOIRriO/RpoKBRXXSv08uBnd7wfPHqRwFOOgVgp+PsHQVORcvXV89iuE7RGoMPpDL0DtQoGH+i59U1BRdXdgp6L83xWIMy/sdjdUbxStfMZ3T4+piTtP6sGfqzlV6ySLVfTxmbBg/Lb6UDebhATn8tVbvVIqVNdcMTja8uaUDnfXzfZvwcijpO1mCfkek7l/JUdQX94JBKepwe9lSHHp5YutHJazBIx9WxqzrDqyqauvXnZkkb/L3Bicu3T8GBjd9Bmk888GT/in3Mq+PAB+SkfFqbVlsAj8CIDkOk8/3GAVatGPI5efP4HN+habOw+3/3WFZwcra/gmOyp/QbB8f+0p4OrTSZbmrwFj6ROGly46kirUGXNpUr+16paeWLTq6T1nXuelfeuhaCDsPCqvKsxcVj9hYLNu++4yG41/NWjU8Fp+DXvnM/+0H3v7Me8P7mOjoNe8oUVn+YDx5qIJ+NfsKU5WUO9XXS0Lt0vnS4n9e+vMKzN0Gij2ZZbxb5mz70TUYPdpveQjt6ApZhu+ujuK+A3hM+MQ/fGXsxVvFEsW71dj8rnXr919O+LqcW8JMtRaQCPICB02lhusA1AlPyi2paEH0q/TBBZS9zgO+pb7tmpx5TbmP4lhIwqN0LIBpOae2v6JiMNFBAMW9suzcgtOtaznidzxtla6SU49369oIcDfPUECjZqrHCmAXnjYT1exE1h2rtOjT1MGxzRhMOLYBl/gIPSnl23RQLwQcaKHJj5tT2eHYlIxuTI+Dvfi/KGLi9RrWgym8969h+pQoVAawyr+Etj1VBdUwE+klQvadUqhSb+eXYO7K+0cIbCCmPMIzNJnCMd6/1t37tc5F1Ygy0S09z9vdJeRn7dVgLmC7vGl/n399dOtbBaISU3JKxRhSvs25ODWYwoGjZUhnAcK/pp2bLm6GtIWjA5JbdWPu97GtpAK1grTQrbdxnPLxTPqcPlf9do9nfva+9MhZdTzRWFiwS34BCI8K+K4/Ss0rSbENQ0vd0CqJM6z5bVloAlIPFqRX1V50jEMTJ22tjrqHu9gGlsNM5ew84FfSYB356pRdaToUuMhz3+mZXVVW4F9m9AYQbrTeHZskBGkFZNq/OZYFdD5Xz2egDjANzaNl7PwUTG3zTn6cI1DlhN9pq6yoLZK73qQyWb7puT/xe+WeDd73Dfqr3rR9wJ2PUdRQw3RrLxHpyg0ALwGsdVJ9tLJNjlVr0kKDz5JzzpkKEHAH+k6EGN8ioDFUPWLprV5kooLyYAy02VjLWdgM61R1kmbPYQFwdITRky7ruu8ae09F08lqc6Nmh3Xev+oGjqGRXAEemkO4w30996lNfEVynzwTV+uxVso03BIkuv2ky8TK3DrjadZIwghWcjn3H0WiwaZ9zFtuGvaYXxxcwWbOyeNCLo9m1xtt0Mtvb4JcngqgSoBcXcPW79enQV49vWqOzVfLwE+BUdNg8xnMw5TD+aCiju99vDKvqaak4h7dJGHxKTqpLmjzAr3RJZVZZ9c3UdgtjdVn9IPekQ6uHrj6pbb3yyV7W1yhP/PEPAwBsjOyxz0d39BZg6x5wWMf8jb2Bvwaq8PiTU3vnUgzGFlRXlC69vhjnI3dqd2OPwsGYW+hG7EXOAXKDAVwogg1+zLvS40ZBupD7f4w94s+Zdbw9wbcnQ7bUWADTXb+/Y3b7HHbfjWXC11Q3g8FB45xTfMbmiHAL3Ehho6h1VCitPkT8OiKyxjJxmj5cv9+uH4yr/xvRrFBgNmU39sdNUWwPxKJtSrVvyZQj2Xdve+soYnshADK1+Qy9wEFPQvYcYHtY1s/6X3ZBtoSiahkcowN81BltJPg6oxTtlPz45ToCNewaJV2H7cl587vr6F1ntoDySbmu7wVsgCIyIvJfZxO4aVTb/jjrXiDjoDRIB/mHAAEAAElEQVRrPiOkXP62OoKNGFaZrZUOFPdTpK2KvU4rJ7StQNv/yq9aivl0nfEB6c1oNdtibAznStLx6XjOfDhLDm5h9KuE1z+ar/+e4vmUXWvwQdnUnKgG1a7h8949NqadP7D9Qxsj3kJffb0vsvnK0fV5gxvogW4D6vi4+52tUwFTjW0rFKZrtj3hM5/5zNs8nHpvjyFHzH609bv/97vpqq0Z3TxeXttYPFKsWRU2Y2BI2eZkjCNH1+x/e3Ybja5Otw4XFLU1ir4m2yCYVt7RB10IZON3Tn2DAXdvYvuz7sAX8LN+q0OsWx1lgLUBmDrorfIov5GLzr96UH8Coy1Ju1F4vK6/u4fr6hGt5cj4uIHl8vdTqXMPEwL42OJm/upQ1AnijPUAn/HlnsYw+V6jsxuY0gcAzslupnI20PoMw4yPCzDNif1FO3hoDT5owLvVFPTGzbzg+V3rcKAlH2wR8kxQa1WnQJMlwnfkybjhggY99p1HxUxP2LbGqVsfsqtr5F5AHG81+IO/Ozf02G9tb9B397GWH1u1UyzHWfbyO+eM4A2yut+Mnrtm458j3URCkz4CI6pQPINVpeB1avf/+M/2jr1sz8Aj9tsWt+AHwaQeaLXWklZ7WlXq4XFYXUB4uIvjtD7Hw2y1vcHOqSlm2O8E92HSX/u1X/vgL//lv/zucLTNfzyy+2/99pKs6ZqreGiVEZl+wlayw+aAJhv38NN1XtcERujM6psb4K+OMt/ak2LHYgc8xWa0wqAy/g0fnkkjeTV6mQNcC9fwpWZ7+wxh90fHi/vMQ3CLfap83Qqk4rX6K7Wj3bpUzFR/6yN3akV9CWnrvkVnTeIaH4T3vgve7BVGVzo8odh7pyIDoUpBNuntAR1IYsAJr2cs7tottD1UnC1ZL5lni6jEmqPGcWBIRFaBj5aDYjoKQfSVQ4851wQIAP1LF619XkB1oyaNypcBbyacgdn/Il0USA/MoiQIuugfp1ejaEWgm715cpTQR8kOcEkQ7elFjxstQpenTIH5GoNHXJQmN4pasEMBPimbJ2fYdU9OLUE13zqBHIjxnkdZOdgMULp7HFrSxnjLUqE142qtKWggpdmZzrsKrGvGyboRswsmb5TtSQ+QiVYUoPnT53TDjdj1fY3Jje7pq8GP8fiCCPa9AVGuUz0guHAdGIrWY8L2GyVVviuPAqpeDvQhXz0opb+7vLVxLmspmNdMe9t1fK6xfGpkorStnF6noqCRXmzwoLLQcleGlV4BRif/bMroXyO7tdn3DunD+36z/hwsxcm2/399AXYtmyvN6a1m4Rp4Qf9riMuL9HBpXrrd9SiNWgJGb3nhQ6CpwY6bOa38+tyjeeqAduwNRFin6tNmbMhhvy+QubzVskT2s9nQ6oynqPwF3FffX73PZt/A5vtkoQCqNr7y8FRRcu3N1avry95Lz5k13q5DHaXue1wfC+JY0zrk5LKZrgZjzK1OSdfr6rNm5OCVfq9ixZMDri24wR1N8qJAtpV8MvKXtsZBBru1Y5/bd7yXZEadCPTplrJuhSut4Lk1cqKP0krlQ51OdCaXpTvZ5dSSYX0KDOw6p5WvrS8OM13mfkp4ycy1x2sLenL0Gzhz8KnfPcmWz6+MkIm1ZvxgaVnlVvttDrNV8K2AgfVmWzmW1UGClAInnLA65rfiUlCQrX2yw3gdTzR4YU34MK1OwVvDDKueuHZXIExJOhr2912nq7NqYxtouPa/+o2uYCObMPnGD+cP7+sXTpKURMO95xM0CdPKHnJS2nUb5Kss68WAT/ij+qEv/bzSLx+JU6sUQDlHy2kpoTJclags7pqsHYZo9oxDS+EBmJ7dZU/CHLH9Zsz8Qz/0Q29O7Yg650AJypSfTCSn1omlA0GLCClNrTNp/KLkgFdLhUVbOcbNrlyntg5WQQKlRnCfnFoLXKfWOC6j7q+IZwVorSXWPZV1f5ULm6t7re8ZDKV/u4cSnD6rrSXJolYEzL1barsxybw5cADgvY+ZuCU3aFBjfYXetcp5Hb6AbtbqllFqm1sP2wDoLpDCszUGFew64daQE+V3o+nkahkrvNhn3K01YtdDbjpf/ODVAIG98CK0+63qhWYJjdM90ZjRKb0vOKtxvJ89Keg35RNAU73hXoIezcTWqWp56zUe/loP6y4TOId28o+PS4eOxd608jDZUAZEHwBHAgn6qR7h2G5tds0izHOyth7NtOKl0mxjHWhpRqc64gZe2p4AaNfkFUC90fxrZHpvPNE1Zhj9FWwhT+TeKZY3wqt0Xplhg2nLhC3YuTYdVt3bzAm9qHxUoLIgyLgK7i+/+//yceXbGtRxuzStbKyR54LvBiqBiQbJXFMHpE43+XEQovtWTvTt/tapj3Wj+xo113fBlO9c18/q0DYDa37VD1dey0/3dT83t6dAgkZPXtvivTm4jn6pnLDf6EO+ZzNkjARxBPMbbO5TIgSTG3jEp/cpBNVJdSbK72s9nO1Vtqg2r+tQ/avtHqrkro66uuD+rsGvylb1c/Vu1697/soHe8952to4PbrgWsVGAzWcUmPVl6oXOK1ju5lT/NDAXvGWvt1PJr/b3dbI+65bxQr6wNfkrvhZn6XZpflO1l6GW0Z34xSYra6r/a499tnFRrs/x0f5t4DNgo49s8QJybOxPeCPrlmfAvc91I8zu/VkIznUsHP1aXlB5V+rEW4mEPZpdUH1BD5T8el+u05iDXZqg6f1WT1R3u248Ts/x/USHf38Blz4C3jk4p4/loMquz3Uta0AZAOKKeqkqyatXdaPCi2yQH+34bPqiwZjXjmyff8qQPmRObU9XY3SrGK76fzWoCMMQoxAE5BFqkqQ/XVa3KIjFvsHfuAH3jm63/Vd3/VWtjHndg7t3u+eA6rL3K48YmBx/U/IB5oGZu1H3VymAJS/TQAx6PoZY+814DQwxXiLeK15JA4nyALus91/7zm/jFGzl114jMVYaehyI/SUZCOQBeHWYs3/shEOUEDrMj8FY4/CjLT7jWaEa6/R19oz/O4JvIs6+hwQQh8M7J51YkoDf5vlXKtAX8HwuKIL2J+MQds//sf/+I2//spf+SvvgOPTml2e7TgvEBaRHQ3nZDtcovtDgEvOqACGcuICZWut/56eLRI33nOYzvpZv/t/DsBekx0BBSVcBSFaS/GugnmKql0HqAGfgsBmJgvqPE6EPLrPLUOpYb5GvjwHSKHNfje90Efy3H1i7b+RX8BDOX6DUcDD5mUvs2BTA18t85+hnJxNz5DP8pV5rL/ptl/6pV/6CmfC3OvMaE/G4ClgZk3MuY5FnY3u8wSmG3DRf0FhnaPeUxDMNgo6ae+3Lg7+cy90UMlALgUr9/34uSB0a7yXAI+y0jp25lSduZfTedGr87u83v/p7t7rygu5x6uCtpxW+tZ9zb883vVq9qE0ptfxbAMtrQy6MlueNybgtAFHQA4NOa9PeqI6FAAy/jqoZKyBpToa1qDjrazKaHUf86V/5UZf9mByIFti37VQDtp7s1mqlIxF+WkPZHTIzfiyW3nolILaBk6ts7lNDtDHibtesmjT9XfOlc3qw86lZwjstyqJ/E5w9eqb2/TRDFiDWh1rZYcDKQs7us1u7nolpmSIs7EGpxWYC5Tv/1YX1lb26REXTzRTRefspcS/gZD9buNxcNDu4WAt9mHXbfwcwOqKfS+hA581uLZx4GuyfbcRLZO4Nqxcu1fbfgP7V4fjl2JVZeKCXjDMTvKeU0vXqeKT/bN+XRMJFM5hA57OUrlVE2hSmvm/e9QFmt2ziaLi6j4JhCxYV7Q2rvHe5vn5z3/+g8997nP/B3xKX3bvbLE6WUZ7OLYOaB3MG3zijPc8FbwEHxVbfWOCyA3MNCi/9wLp1e38A3yhn/VdnWorYRN3bd3G4Rr8dHWvl8/Rxfpf3PeROrUUf0tUZdwwdcFODwiwOCaAmDbdP0UHlAmKSsxZVdIgQtfnme4aESrgEmh0Yh3wNIEkSPsMqHTogH0e9gFQhBV8CnGKaOMAFAp0XWNxa6A5JhTMU/PMtL3st3xyehvhLGBCCw4SAV6rUiD4lAUH1+OM9tvt6WmGtplPj3UiHNa30eKCAVHHRgl7kFJBS2lTcNloWqNAIoEyzKXVjQL1O+23fuu33sb9Uz/1U1/hJNVpupmFflYjWKM+QzADMJp6dpz5cF7Xmt1thu+OXXkWkFEFam9Q33Ok8OzWUZkP3qfU3L/Rwv69gKbr2rkXsALrAkMNEFV/VKGWZ27GpMGy8sd1/ss3DdhsvlduSsNmfOqg4XPrxtAol2IQyWqzb2SN88boM4gddwMlc2h3/sACI9amMtD5X3DyqnUdy+c3QNDrmoGytr1n16YOnHbXxJkEaGItRZJ7uAtAyDlb66Eu1akFBaVTdQ6ect3dF1hQcOlQXtd3gb65+P6J5tVlbJpMxq32odOsgXGhfWlaWTS3Ru+9Kiv9Sx791iE7Ai4FY3WmygN+e3Xt/dsgadelcnid2K5HeQpwfRWkumOSfYI7WhFUEF37Y6zVxQVw3bpjHMUA7G8xCD5if5tBNE/90KHlhfJsnbLu77xOcufWUvsbkORIt1rAddUbpUdbZQytru2Eiawf3ufYwnSac1uMj83oGsualS7rsw7EtW/VpTdA1ew6zGTNOI3W1jy6Vq0q8hu49imAU57oelgrsnid2slqs+r4WgVfnRy/vwEivys9G8wSrHFGgUpHtNo10+mrkuR40/VPGfE6vSoBWxlnnOW/ZpLhf0EOfLExNkBevt292ALrenlS4s3BW31MXJs1aSa+clc9du/zhJEqq/prMLKOJN1eW/w/zvO99dvgjef3WqvaBjjcGBs0Z/dbgl2/Zu+7HezamCfevvpCn13/V/7R/7JTSxn3+XeEpuURtya9BrCATeSu+5v2cpjNrl2mTYTN85XKRIxJ9+xyePedTCkHtqWKlN8YfwK43yyDVaBpT0PBeJXg+rHHzXXGcw0tOhH8lhTp9y6yA2U2vn2n1KOgkYKtIFX4XOe+FHxBeyNHrqGMnZQsskN5E7SuOZoJDDDGjdr6XR3dKq0CM4JRob3M/+TUWguRryoi11xArykHqiDda43zOsrtH13RSLCD4aZEup/hGikyYV2a5WjJSJ29vVrSNkfIgVEMqXXY2o7fre2a7MEFzBfQX4eqCqt/fcdp3Xjufl78NFmiZDmAaHqjdVfRXRoUADfrVHnouAuwC0hbOkhGZAHI3q7r/ieZb/vQ8Sn9g+fpPjQvQG+AhFPr1PlGfbs25Y9XIPOu16XdpeftHzBpUOXqrfLqlYeOr2VsBbblUYfDKVXGK3V4rFF1sOZQFs5FDWXnb12M7ymAdmWgeqhAA7CqQ39lpw5Cea461rzYC2Pu/rIbONDndS7r0FqbAo6Ov8EkugpY4Xy9cmifnNr7XXVFHcjS7smhvQDcXMsH78siXj2uFH3jb1UR+pN39lX/+KOgEn8Ze50Va8nmcsSujDRT7bCftQaR/G2FwaWn72+wwHtrWJrUwXzSicUUbPHVP234snOUiXb9Bd4F860kuHinDmCxGfspIHrX/fLhtSmtAKt+o8urO/C8qjn8Uae29uQeUomP6vxc/nTPyiIa4M0222ucNmzNb4Cpjv0T7ix/c2r934M/rVmdH3x5g16SKs3S7XfsKHtYXdIASOnif9U69rP2DAzr97SmPZjsSUfX8UdPc71NwOeuxXVSrUPtyVMQyfV13PFR9WLp8xQA+cOTaEC3vUYz/Faa106gj9+wQfus509U55B3NGXfq1ueZLJyWX108cNH7tRiiu6nlZFYs9eyQBBjKKdUn15DoexgjtN+9+3f/u3v9kksStIs1Kc//ek3UDzBWsmw5zWuxHgEVOqD0Csb2O89PkLkcdGs/Q/Qr19A2iITDE4aRUuA53z3On0r0cBoxiTD7TQ6RqcHCtxswZ//83/+rbx6ZcBrG/PmX0eGEuHgY1BHqJdZ1whOlWvviSllSxaNW8acw2+vLWEGsgCfraP1wi91EgDPMjM+qVJvlOdGdqp4aiApegpSZYE+2wpg28YrG9/+ihzq/zpE+OwCE/024GOvyOiIzvp9kjUK/4Lr0obCkTl0T3K1PiZbnv/W061l3XedkxaNqyf6Xaf2to6na1JFvrZ7zTH72Z/92XdypCmrEwhxYixakr0Losuz1kL0HV83AAYoKVNDT04TsNDTp+0nx8/WvyWKZK/VD1rfGzegxCBfsOY6AZFf/dVf/eBXfuVX3o29PNx2Dcdtr8BLna3reHYdG8xxHX1BB3lvnP6uf3rRNhC81pNLe1roDX5eh71BuOqcWylDt9qeQT9cgGsNO3d9lt/pH2tUIAKE4L8bKLiOAN5Gqzobk1GVE66pU9MMd0svL6By75s1I6fXAWiwWIVWD5+r/JT3njIZxnx5tGCneIF9uKATnWsXqmfYmifg2fUy9+nhbTPZfZ166h7KKFuW7F4yNgJzLZXD+35TmtMlDi8zJ79vZcA+h21uGZ5tCgWieICtBTwdeonuaEE/WusbYCjdfacyq/z0ZLs1QT6l1/i6vN7f4oFmGDn21Zd0UR9f4rExw4ujjxJWjVy5V211aaL/jUtmUXlrZXbXcNpkLH1OfzkM0H3IW88xqQNMF+AZ27fQurJTXNXm0MOVi8/uN+iC1q0OaBCjQTYyQK7wMD7sUyiuLdeso78N3jeYRl58Xmf6bmmoPqvT6pph8vog4z1VlyoPu7b47jr+5uqJFPBIs5Da+K46tGvF/nRbEb2FJyprrWxs0AsegUPwMVnaZ+zcJx4CjOROcGFbdRrU5dMJvDdba077zLYqGLaOOhqYl9/ht2L74uere4qxtPdhmv8lp1bnAPImOAHqZmKnlFGADqcBrDdgj8zRWsu9NvDffRN1ktfvvrcnwcIqyyPsCKfE0FH0Bd4e/9HIEqe2jFZDjrka1cdglAzFuEYZl8Ebxdrnd49MAcac7dFuNLMXco5Byz0wUgUfGOaMr1EYAEuBQbOpN5rCMUNDxryRSBEdDM7YETRzQzs0Axw8TqPGsYClDngDCXesfvMd3/Edb3Rb2fn2TtfYt7TlqXGa5khsb4r1ewKoAhy31bklnPuLt9ynYKtC3yxPFe1T5Ooq4kszPKiCwe/xIyfDuooqM4YXPPWeT3RpIyP24Yx3bSmocTDnOsiCPfqmU+4YLshtdqLZCsq6WZgCPHShB9xDiXGj03i4UWoGygFjNwDiXj4D0vBBx0yON//t41lJ/IJ4fZ5pHcwrN6/W4wnw9zc32tz1qS4RCAGka6yNb3+7h45x1uq8Wxt6Em05Vc1a0b10N11UHQaM0ZOViZb9mzuQ6v+2m0EpfesIlb7VXZf+F0DtL3Di0LICn6tH9Ek2m3WtHFS33PvV2bJOnfu+p/f2IhPko1nKG+y4dK1sPzmj5lPbXLBtHp1351rbKmjRQFLHs2sXIB74XfC8z2qcDXIC/V3/ymgDAXcfH9rVgUYnjkoPl+w8164N95tbfnkz6gI2Avo+a6Dn8nztZSuo9Fldiz+apf5qjewJcltr2bQe6oPfahvJ2rDe7Bb92mBTM4At/969HYRInsr3HGpOo3W6gagGj1pd1IOfnDPjNN9m6+t8bDx3j2r1n3VqRYQMJFkns2zDU5n9vpsjhi+Nu8Hv6qXrMJIfPAxHmxus2ado4BfYyTV3H61re/puHVN2s0GA6pHayQb73VugkrzaH7rfCnbUCW/fpYu+7yOenqpAVk3qoCzBsfuYmwary0dkr+N5Wpeng2TZxzqVf5gEU/2TtW5Z4PPsHuw3vwAPCkTUftdmX5tXW6F/OtJcSpPSv3bA1gGy9/U4tG+y9HVdfaJ8NrbPceDsduDAI6Yh7IiHee2r7QmVhK+Lg9A97Eg0pkaiQJyDeVP3hJIw1ehQKpiFItlvbI4WXSvj+Wxjm2G06ACb8pMuqt+JLpmDxqH1TEWPo6hBpxgqKFVSdRQKXAsYnoBEFUqNUUEn2hYwFUhyJo3lKuEa9AvKX41FqyDf347W48v93Vr0oeD46Y7jnVB8yANzwBbJd68n4boC6jN/y7/9rs5wx+97EStjfhpnnfMqujpUl9/K56LogKBoennniVZP6/e0Tl2T8bgDRxxq1bUsYC//NmpXBVlQhbfR79XY6xhwvDqPBn1qXJtFMQ583Pk2IlkQVUBc51r26zrl6Lb7jGYLyiwQYB+2ez+tyw14PH3/P9vqzBRg4x+07XqUF8uPbc3GitxfcF9ZLxgCqp7KTl3XjOKTTDzRr4GctsvntTnXoetavmo3ICUziF4t/ewWG/Tp3zsH4+h9Ove71eGuSediTciE+1rzBlX85jo+pdnVWdb6lQ6prF4d0dLtYoV777Xx2eyCU8d3sA5QN/sq04HW5d21ZpI6nssDl9fhFo4q3mwgBu+be8FvD+Sq03CB/S0bv45A2w1+NECDXhyAOhj3t834tLUqonilJcVo5jrjND/3ataoCQXXolsrwS6W85vipj4/1rqb2634GZZ0n2K7Vosohb5OrbW++0rde/0ImtYZ6ZkN5M29Oo7L65xs9rN8TK/0/g304qVWSTnRv/R+cpStYwNgDcqhp3kWI9Dp+rp8zbY3iYO+lYnakcqpcV09Zdwdj77xU3nn8vps8/C5yi4BGv1fHP3k1NVZ1LpOgur4AKZSidEx/okPExidB3l0jSCl7Dg+btUenWW9JRX2ntyQy86jslnf5Nqk0qc659qyOsQfuVNbhwGRFhFyQu5OCVNiyQG0J1amBgEbWXFwy4yMspEL8Jpt2ks5yK6TORbV333fTfBDZSFj3FbDcIFav8OIY4JFePf/Skt6RLzTZtc2h2WON/a9txfMAhNQymr9eMaXzzr+zWflAoskoxNa2s/abFQBgb5E/DCguVIYFd4yaAWGUNVQXoHEvBeorFXRu76ZM+ts/S/v+W2VsXHXQVxfc57GlzK2v/ALv/DBF77whXdg5TpGvd/oPQO263/kR37kXb81Cv2/Y7zvW1Zz6dMgirnrGy9fRcbAmnPBQluj4AVYdWrxqrVSKcGZrvF6olPB5VXcN2vEod0jaW6ZzlrL6QoY6tSqEijYAwgoxjpAxtoIt/+bDbNWePUCw5bW0w22OqBrDUbL3My1kUcl7XSKa3vq6PqYTlhg5ed+7ufe9OiVM2vQ9b2A+7an7+oUPRkP9OmhTeZSmteBQssG6aprzRF/2p4i49LfVT+t9YwCtLuO/qVDq3Gu3m8ZmO+aEdFv+QRdVAUVXFn3J1qWb127/ug8zx0FwPq4qd6Xo6mfllLXIWhr4KHrccfXdfE9cNUsKGe79ubabL+/waQGnxvAawVT+y44b9ZPpYCST2t3Kw6szWzCd37nd77pvcnUSvr3+ezEfjPZXNu2JXNQKm8sgg7NdhhznZh+Dxxap1W4eXyb+XB48cjslnHP4a4TcbdKNWCNvhw7a1qAWQcWfYyhwHs6SKCezVKR18DSU8ZQVq+ZUomN8pW1lMn0onNvMmBYz+fVO4A3ebcOdVrw0hMW0Yc+3X/XWKfylSyW+eALBykJBuDjYUJbuGBElYvKY5XPs9HjR6WhezmQ8wayrn4Zbw2P7/o9GQQN13Z/eLl6qL+37a72xpqQC2vPluGzJqUadOzJ3d0e0mBEsVAdQ9lPvxtdGiCoXVrD33CMfhoAuUGW8pH5dF93tyG0/cZv/Ma7bW4O3FzgbA2/Xd1Ymaud6L0bDBIsIT/+3zp3q843fngYboNfDegYAyzVZIG16zaWBgEcotsnxLBV9KbrakMrH090sF61/zdgIcv8sTi1BH6nEFMuns0GZKhhd6z3rp9yNMkxtQNqGtkRrV9TSiKd7/49URRxOJ7G1jp1TmMPc1oTAStgw1SNPhDINs+jGw0o9Cl5ezc3ZhGPOf0t7VLGa7ExZfecdr+pEtr1vd/ZI7D7OhTAOrTM5Cm6QRkqS74A9MkZ0QhWAXgNUqMwLflsyUmNap3CCp0xFUReAagiqNO9+TmxetEz/DHAsvGMlv/iX/yLr4gUPzUZzK3dwMd4d30a41dzHNoojhskaGCg8mWd8DelzBHoidN1OKss6uhQxhdMl0fcV7DpKkD/N6BgHfq+zsh1Lpcpn7w40fPyJ4d67QIr46bka1zbV4MolX+fWYv+xtx6v/IioOf9zQJ3XWuQatQ5KgyGvwXKaypdyMov//Ivf/CLv/iLH/z2b//2VwCqju0euPUUuW97FfF83+fASg/0qAMPbLQioxmNOqR1iAQqrAegaj+3RyORVSAFUKrOL13QH4/34LOug71ydYL0Vd4tr6BTHe3rPO+6nqnwiq6lLT5an9NTzWr0JGhZoO55fwoENKte2lT2zbuOmT7RHOgpEPG+5ctP9qLrUl1iHeGFlom3v/bhs12vYohN4kSsnzkNDshp2zwGtj772c++/T/7sKDlgmyz5fYfcj7Xl7JCGbY66U8A0jjpAM+ZZQet8T7/5Cc/+TbmjaM4pcHI7l2u42B969jpu4FLvMs2WpfaIWtbLFRnfLjGQYPsqOCbvYTmfHWPNRpu4XQYw3VE6Nk6wEpHJTBaCYdvZVs5IMbdwELLlteUaHtVB3V7TrehuI912Xu6iT5qoAZf95F549PRk05Q4gsb77XkhUcn1ok1f9nv4ef2pdFztmw4HFIwxbrQr8UhAuZsLZwNz7GlPQm5FUtoJJjRUu6NSZWWBBdeXRPgWb+qEfdyhgs+4SOMrvgHXqDfyXuTJWsSWz6/gSl6yHy3LsMs7FnlqQ32J0830VE78Cro6toGx40PhkAj2FS5O5m1x/y/f4iR6hOsT4GpVjo1mFa7cP0CL9dNb7Wyls1CS5Uw6+MGkslT8Wpp0//J1ys7+pGUH69RgOrIZQ0bAewpk1UqNZYIYsI+Q3RCud95PIxXo73rU+Rp31k8gKAZRuMoGCEM18kxphKf4ZuymfJRht39DT3QhhGQVS3QxpSNct4oBtrNKZhxoQyu82+8hKpgCeNi8AL3OpaN+JapGs0r+Cpjou0VYn/rbNXwa3XOGpXtOPRXI97fErqtjdNUHfIzY7HrVm627FeV8dNY9rn9VeMte7NrxPu76/B6b8546zqxBSNXiC8vFBh2je74KTVr0jHdV3m+0ddmaa8SfxpLaUM5N1s3A+HQt5tFweeMsXva24GvO+46eNeJphfoqhq9GhO82Gh0wVnl44m3CwhuQKb3qMGoY11+Nk70m9H44he/+ObQ3gOyCk6eZOh/tl3nsHwhK1HdcnV2eVlrxu0GDKo/mv2SIUCn/RXMVBoFrOijjsVanZA77lZIdAtK6dps4DXsdeKq/56CiTdw9UTz+xINX5+zMXi/fIPuPq9OqPz3b9cMOO9npRc7UqB453SzfHVq6iStlX43QFBn/DrA1/Y2kNQsrQAPR/DSfN8NZA0byGLNDngcnyCBMcuQrR+nIjeI0OqN7mFrsIczBjRq5rg5bEwwjUxz16t72sqfBa3NfnJY9n+3KXXtfIbuxR/4oLQGqNlXzsywy5WByyflT2uIfspE62jQ0wKY8E0DuGyUyhFzYnPgnqeqhCdb9hRsr27we3SzXs2wuycdpfrC/dCVs1qdsr7GY/ves7tl5Wz1uhVK1UFt/V4yp1UjdVYaiKFDq2u8rHlltsGDfgfb+q6OsgTO/lfm37M72EBPA2j/+KWBylfbYRqgc386yPfVJw2QlEYCZleXXJp3HVom3IDIDdK5zyuZufjsJr26NQ2v2pb5TR/yCsdfHx5vZIz6FyTab/rs7OL6OrTG07NyGhCdTqVrLy5+xav+J8vXF/vYnNpOaM3Cc+4QDdGvAIhCiG6KxnSSIkrre9EIUT4CV2MmWi56YdE9g2nXDBzeKDRi1jBxhL0uKHVfAmDf7KJPnHvgs04mZc35x/D7u//tfShQLOPv3lMGv/7rv/7mkI3W+76ZiEWT3K/GxVjbF4OA3o3MW9OOgXFgmG4G4oIqyqlGpIDrKbJoLeowXqBWo+g9ENDI7H63qNGaLOsi7jsUZNEjJwMq2Xgycsa0a/fb8eEi681il0Y1ti3XoCgroFVsfd91Mpeb7Wwgx2/xjLUt397GkN3ARue97+tU1AC0nxrlZsvr1DYA4vm8InfXYacTOL10i3l1jW/WEm0KEvpdS1UrNwWKN7Dj91Xk13EvLS4Y7Pd3737pxsj0WYb7bM7sZH5/69AWiNy1e59Te+XwFe+Xp9FjNOiJq7vG6bBrdHNLtbQLkgomVKQUTDLGshgO07JfiZ5fv0DxlUM097817P8cgrvHrYa1AZIbTKsu0p503qXxBTVdG21zHijYGBfIxI/0dPXGDfKsyVBd3ixItSXmgqfSqb+vTaksuE7Q1m/Kp6XbzfpWf5QX+jv6pPxPZmY/BTpkeLrvXBs2YRecsfD5z3/+ncPUszf219kZ69fz4dl9/FU+qj6iZ2yD6p5z9G9gAXawP650N59WnFhjsjkaCPoA5M203oCAORY/dT5XJtfv7KgDm8idLNGr6hD0mzy3fJfcbW5bC/SwZmhEJ+6vEl0lyrJ4e22O7A0+sS74CL3IwbWVfoPusoHV4/ROD4LiyMKIG4tnxC4QzoE1HvxA7+tn9N38WrrqzBo6wdj0cSsIb6Mzu0+4OLzyub+br2ymgEGdSWtqPtULDWqyTRIvtcv7i9esxdbQfMjZ7uv5xLt+1/RZu71/S5bxT7H+xavFye2rGB/+wLft/xVmhPU5fLbUXBvyPhtwg8alb3EWHdPqJvLwjQ/P/N31SoTpavyDrvsdp9a6lX6wIJ+gukhQhr8yXWv+xfOlVedf2jYg0Ht8LE4tYZigbcBb8DlUnh9bUHWNv0zrBs9g1PhdENXj2zFpH61C0SvhdaIqsLTP5pBUkTE+DE4Zu4dctYyl5Q3ubZEW4V0fsnmMSsdGUSsxtvilaUuAOObaHLA5sr/0S7/0LlraR1usOdGtp5B2zJQhxrQeFaAeKnDn20hWoy51UGu4C6QusCVI+ukYlLUQKorlRvfx1gWSaDD+/O7v/u53h4Ds7wR3z/r9qZ/6qTee3T4Iz0tFs7b9P7qvPG3rvAOjzLGOEWXUEsbycaODBRs3G9hoZZ1BwN/cW2bY/aaNYhbEoH+NeZ3VzrfAtt9dJ67jaVmSzzs+vE1G2nd5GMhuZYPDKdzr6fAPQLOAsIDjAvFe8ypYUofxygPw0vnRUdfBQAtgify0LEvk2v1GowUA/tk/+2dvmVpr/NWivHUEnoyu39zvaqzo49F9Rmnyskelof0NurX0sWXx1lzfDa75rKCELiFbBaN0h35lMGREONKc3KuXzPs6ZgWuvmtZYu9vvRpc0peyUjq1WanL46/a6DHdvt/OadhzyTn12w/nJNOuAXkzb0FZtC1wbeCrpWDlnQaK/KZreJ1dc2upcvVTefQGvwryKlsXvAiOCxZXN+KDvefwCAQ80XyOwvS44Nqc2p0qvjMTxuNKu/Hl5NK+vbWVKgtAOzfkbvdp8IZTBiiW1+nqYpqNf6XTpRe7smt7qvGu6RMYzHn9ySzdwCJ8A3CXp+s8773gRDHQ/s4eyqLtZe/caPoUVNs1m9P4eb/1CDm08NSKb/mWb3kLGu+azVNmmC7afdYK4vGbLVnFUPScAAQeEixbf/Sue9SuN+sliLZ+0M0THSrf8J/HVW4c25fNMUZvtLS3VDkuOd778enotvt/6Utferd24+HKwBNuaVB191j/9CNb2gx+9836felIx/i/SagmROjtYvvaB+O2P1gVAzmaTHmcn4Nj/XWfYpwGkItHZbbp7eKVm2BgM/f51gKvr9naJxFl7d7XOtcFKWZD6Yir/4oROh5yXAxs3PDx+p1M1db30MlPJBBNn/kf/zWgYm+s3/aZxE0qPAXXzbf6qM59g8uXT8uv+K5Bitrhbsn8SJ3aGilCLdvISSwA3ucUiVLCMoaMa8vzmo3avRpFaP8UVUEN0Lj7UhY9fKAZV4yPiC1BoSwaXUDkZhfWChYo1jpi5llnt44ncNZTgtum6OeE7W/BmXFRwgVg1qhBg0aK91mPOu+hNbe0u4p4n9VQrGG6PvS6c2jGscDojonSulHbNn2b2y3HkZ2fQlFuttcehTI+neKc8fze7/3eN5oP2HCQOuYK1xzi/e4nfuInvoIu5fMa9JuNqhLtXoX+rgLeDPXNVlQpXufyZkqfQEY/63X46On76wRdGe34jLGZgL4nY+2/vGA7QvnWdZVx9+5+5dKjSrL7pchXdUGBYufs/s1+3ABDo6Zdv+qq6orLy6Wfey04t8f3fPnLX353EFX5iRw9Gemu89fSOvfRfboawCQ7HIhWX5Rfek9z77q3pK08VyfztlZt0AfoLUPciPg9h6B06tr420BQjW4j0df5qoHtffBKwX/Xt7z01PQxADXQun2L2yoBVMmYkKsCIiC1ztTuVT69Mtax4J8nPYHHGnC5Tm2DIReclb/Y6PdlvUsrclv57HpYd87ubBLAZz5Xb8EBsmmzEXNuR+s5EZeX8aDfeq6ofZG1EbWxF6B5FeNUz1x7Uj6iXxowvK9eU9vd/8mHtQBAG3C6jo31c419ffZn9pRUCYsnmjsTpJiowX6OanEAnIW/pn843vutZ1qrtuq8y5ceA1bsxQaTKQE59qe8Xxm4zmPn2wD0+EMCwP2bdRNMLd6UyDBu58isP0GzVil2PJfmteEtDW2lQ9fXGlr/qwsa3Ot63d9UR+BNa4mPBJ34C9aKM8axUsGphNWYi1H60j++YXPganJpve8acqKqY26JLzo86cvKiveeZtI9ya20qR2vLax9Ks4QvF/rAVrWsJnpT0RmYaQGNuuvXKeWz9Xr8HCzvg1S8+NaQWX81WfmUlz8hFmr+7quH5tTazAYYgMek3oWWYHWJiodvvccKY3Q9bS07ldgsBARUcqwFHQjICKC+qhTa9yA8hsRzvH/17Ho/z3xuBFSrxt9JkwUawUHM5iHDFXbnNk5ZRRBHTnrUWe5peEFQI26tsToOvylf4MLlJXyhBpaJUydF8FtVLi0df86tPcB7dd5qxFfayTQenJq12b85pAuyj6A6MTGz3zmM2888vM///Nf0b9GwNb/oq1KnPDpExDRKKobgXrFZ77HI3UC1gr8Cu5qSK6RK6i6wL6/cX0dFZ/5vr/XZx3rOtOVz8okWW929DY82H1W5eM6SqXJaNjHoHQN/L6Awnz3P6BXx/TOn8GQ7ShovutQkHj7vUGOOj3mo/JlGaRVmTB8AoKlXR2OOhlPoOTOre83Vqd9rzz/h37oh96qEhyktxJN42tQ8ikIVMNaYN2xX6f2ylBp5P9mbnsSLTtgPyLDxyh2LS4/F8RWDgriqgNfgVvBlVuOd+/51Mrj0y8LJqzCZE7WMlhzupT/yVJ3rNepbQASbWuHrM21a3W27tjK35eXjP3J2aquqoP6yqmtLuG41v7435o3SyurVtB7dYyMGWdntN3fZTxUXFVvj1b4ScZxn9tqRBf1TJBuAbkl73Vuag+rl8hWwXF56fLiDSACla0S6z48Tm3lRHDnBizc37xkH+E4B8MAvk+yMZqPbp7/2xNvS79m+73nhO29xAecNKxZR7DOuz72V2UQPVC7RVY5PS0Prtw0eFndW93Qs1IcwolWArWci27RqBPfwKxyapmuysDdI/rk1FY26UG06dkx+/3GKIOHJ55sjCq1Jh/o2fJ5gzaVx733TPYmRNZa9i5gouRYwgWNbvBpjcMoEECmBHDQvtuSrEVt0a2Sq1Pb8T7Z2I6pTi3616Gu/vP79l197HdoxF5Xvzt4tmvwjcnQ1qmtD2C+3cO8PuzFxbd+tyADWhXH1A6r8mhJ+J3PWjPV+PjiUzx0q1c/cqeWEG/imNoJYSPOjATni7MlolZnkHPAQI3hPfaGwCtRwKxO/1p/M0qcV9/tut3bdcaJQBzIOqHAy64jHHd/LUd491k5sHKQRXkBdU4PsCzKPoXulOTeD0jZHOoQXiW1wyz2IlwX5NWx3f0cwd/rREmVfYw5exLcGlBwndIaoc1lBuVGiqxxndoq+Tqo3XfV0ss+mHwNUHV//VUBXGOwv6PnHNGVRK3Pb/3Wb317bMM+n6Ow18oqN44f+IEfeCtDvo5plfLWZlmzn/mZn/ngJ3/yJ78iokyx3CBBHb4CCGUdd52rrCvUQKf1IH/9XcF2AxcdT6NlTzJ973ujkwWKDXo0grtGlu9eHqdFkl2ngt5x3KALgyCaO5nCD+NtRgn/cC4alFijI+pEOHGSfN/SIrRV+VDaVDcUNNWo+K4n73L2yruMwT5fVcCv/dqvvW01aDl/DSIeuOtTPnoy/E9tGZRPf/rTb47sHnMyfbbXjKSDqqZnN+enCG31hXkrcxK5HZ33vQNQgIYGHAHrOsTl7WbA3GPNni963xoDwPqnO9ZcTz82yFmnoNmfymAdu8rxDVo0YPLkLGrrd3w92mwtfuzHfuxNV43u1hywnfzgI3wLvLnOtS137BiaPbBmaNa97nUMCzguGLmBphuEalau17lPM7jX8S3IJCccNEDPc9zhjWsTtH03uq6Nt5214awFdPH7lutNHmSONpZV+MzeO8Rr4+keMuvMScLT1ucehgc43kBZdQU7am49m4OOYIfpYHs79/nek4HqS8GQrmnp11Jfh2fJcK+P3deZE7vnzgDQRq/RtiX+3e5DR+Ntunn/w23GqzRcqb0m+GDMm6dS7vKi+WwcwwYqgtZvg+lr8NjGwBnfNX3kYrPp44NmudgbjpOA4HjEYYmutT4Cs3s584NTay+xvd1dx9vIFfvovJYGgfHVxTzkGx90u8MaHlQGXZzQwNoNkLh/tw5JcHFG6WpPTuk2gq5d500P0osN9HjVXioR3/vdo9sFi2nQrVsStSZVtBtM3jUOKGVfVLI20Le+i+VhJX00uTd+RgOy0Wv6+kQcSQdHCeKip7Uw/55oPYy/e9iTi362URTjeu1a8yPLDa7ikdK5wSzBIOuFR+lte8s/tkf6YFyga0piA5yiAzzV1zNGHNZOlDHl6Fi0Rjr7mAvCz4GSrX2byIfCMaWBMPYtlNkwqQiOeza6XJAGqNS4Um5OIi5gANJ6EBHj1RM8zcPcCuQqIHPC7DVhNEVZmlmoY0sp79qeQi3qYe4VWOPEtAUdFNGNPtf4NdNiPWrE0bWGvpHLAv86sWh2I6zGrC8OqLL40Q0wsedbqbxn/c6p/c3f/M13RurSYk3UddmzH/zBH3xX6sYw4bVbQuK94AEwrVXZlm5PIPjS25pXJjt27TpqjZ6Sh/5/gwYFWQWxF4Qa580OALMN5jSbUT5vVLfXXIDVgAnF7d5o1M/7vga3B6uQ70YHG0G80dobSLn0wr/labry7gW9kXuBn9L88kGdjPLJE//c1u9+9Ed/9E0GVvLqkJ3RXrBNZho9GLO1llLRGdaAAUU7OrxZFL/jXHFgul7mohRR309rcQMItkmUJ66sGZt+GkS7fK7dvhoNL317Yu3Nat+AwPTSqke+53u+5y0ovGBC7UDL/fBDAen66N45oEWwwNrYu0cP48uC3uvcVmd0beiPZo70XWfCe7RzPTrcLG73r3VP6A2mdd9jsxC1W230Nfu4+8yhVUnWLA4+p4vsQeTozH6Yr4MbR9s5cGt4j76jd9je6poGPq0b2S5gvVmj9lP6teqL3RRkFFRtgNV9b+YFb/cpC85RISfWAM1cq1mfYr29F/TyXE/rDju5vrxsfBwGjfNGf3Ka6Vlj46B5cTbMtZUQ+FUQfN8NQwznrgnANetdPV0Mtf/ttZ1T24SO71URwK+1D9XxtniR16dAdeVTHzB2s7/WA+2sPb3rdxo+5RxW5q6sGYc5lkfJRLOHdFH1UfUkupYW1U/GZ4yt5KgNViZPJuonvEq20Ed3Tm3ucW24e1WmK2O1qfjd581mN5Nt3cjkftuKo/+eOXtJ1NEjDf7WjhfrXZxDRp5oXzwnsEH31NEufxbbWRv31of1H79V5j9yp/Yu6IhiQ/UE0n4Tkb3unUAA0bkKkf8rqBba4jQS42/B0QhJUWKcEcQiGy+maVbL/ACNAiutBlYktHtlmg3QP6EAlihzCpHAXKCsOdiiQlB6lKEozPtM3jKO33I4u5H9MihBqcB2fF23yxtl3q6ze9Sw9L7W5oKjC0jXGtXmMIhIjxdXVrao04yxQxk4/BPygRq/e+UIiGwuW74I/QDNXhxhAtg5lnbG2CjmVRoFFE+ZhuvEX0fK76osep/y95Xn+7s6y9ehxlOvxnkjpfqu01jnv+3ysfHXgaiRxTt43P91spoJLP3NlbKlm6pI28y5Y7l09HtjKTC80W/0qQ4ANAUAyhNP9Kqz8WTwn8Z333/f933fB9///d//Fnm/4Kmg4N6DLkC/BgXNpaDFGvVU+Bp7wbauf/mk+tj9ez/803WrYazuqNzcSPd1nPrymwu0ymtdLxmWp2i/1iDRdNEOLJq+Mjf0AExaQlkn4WaGyVu3x5Rn6sCazw2iGF+/r0yRi5ZAXyDTLG5ta+na4AHdXyf5ZjbIsIPlGmgtuLw058h3/+f2j9cmlk84FBw7fOHUXbZ866saAS8YZ52XvThW1bUFwhxF9O2+vmIFtK6DW0De4HlLViuT15bXXjX4V90lW2k9+qzQAldt69MKOPxmbyza4KMGpSp3Hd8+43xy/Iu7bFeD0aoXuifwCW8VX+0aa0t/7f2+m4zCsA2KVW7r1O736Eb/tQKtQcEGfWozyEp14MWv1Uno6jf+tye6GfPSuvJT/d+s4+jfbOq1L71f+/I/ma1T27G3L59fG3gxTvvvwWEdX/WcbTHkrgH9JoKesuKvMEB1b23JxcuVrxvgugFxdKqur67rel95+YZjP8xTVtR1DbzVDjRp0fG/Wp9icbqkjn3XoAHItZbh15buNdyuyuZjcWoRgVKyB25Ow8rnVu65aDOmZ+gItWxAF3QNsaW4MRsHbL8RFSX8IvL31NRm9ji1QM4AnOwhJVcFz/h0n0EZBXOJVooOrqS1j/VhvOcIiS5OKfZh63eharS0lS7Podp9l1ERmW70n9Hd7zfulku71v+jL+Ck7TPKD10LXhrpohCsWYFJFUuFFq26hwGIX2NoCN2Ukn0lNfr6Y5QcCgCsMEL2TMmWL0LqAfI+Hx1X7ucY+xtt7P32Gn//8i//8tu9F5FvdEzW25p0/Qq41gqYu+5VeOj69Psqqgsi6qT6rn33fv4vwNV81vLXp708/es3lcPywZ3DpZO5thwHz1Z5CsTUGOG/Gkn0WdmOz5q9wEOVuwYZagwpXDT2fWntWrJdw7gxUO6cWjSlnxYAXAmfswnuujeohRbWrc78EwBoKx8sS7vAj+Z33Z/aoE0dJbq5PEJf0ot4yl/6zjrRNwW2e+/xDcBPK2cKPjoXY6ijYL3KT/qhP/abjWt6o+Dogr3KVwHZdaatw3QOHT+d89ToxdmkVYEsU6uMGo9WHpZNX+ZI8NYpvHihFS5Kcs2bnqz9XmMDa9vpsQt26e7qstKYjX+iXzMp1XWedao1YN35mMfuzbG0Bao8b23pfg0Q54Tt96N3AwBs35X5vZ98tqoAz82ezzYs+Dz74rE3u37r1f18F4gaM7s6naG0li7lOHc+eF1/4y886cRbTwGw9uPH7ptzD7Ii2EHuG2yqo4sfdw8lkVuPjcHhP9r4erbStetneEhJo+1gxVHANl3RAIpx9Pm41Yf73pa1zn/f7fPJOD6wBrunJIP9utZZIJx8rT9jtIVr87a+Ah1OhdY/p9SWAus6TKKKsc5Zs3ICGOwcx1+Grna760ZHN5u3/u3TXxN0UepMZxt7bdhogd57X9vTjF91QvUAfEl+8fHde9mqlzpztb8wKL1hnuY0usIKAkPFELuP5EZxBB4TfL04Gy2ufSWL+tenLYgqPWAoY6ve9juHnHYftnuiZ7FfdUtt0uWFNdjM4WDm630dXLqgWfW77bH+Stcfzb08Skirk11cUScaj9ryuTX9WE8/Bka2MANFlOgcsD0ChdGQYeTAcPq22GWmKTzlqms1hgRXhI8Du/sroVFeoay2hO+magYVQ8hWcrQJkftxdloegdibbx/nAMDYs1umXT9TBMqI67SsXdBVIz8jsAX94R/+4TcjwQGtUWz0a985ZW6GtlE/jGMMBFiwQZao5T43E23s+5+yvpGmNkJrzaqwrQVgYQ0n2PoevZvhMZeuo/83L8EDa7fPZ9B3rXXwXL7RaQZIBvfyeiNq62vPDd3vllVRdlWAX8UJLNRgFZy1vKS0Yuxr5LqGVWjlmSqYGgG84l4tIamC9n8BesdMATbToy9rrDStp2veqGyd42swOgfBrAJca4IvGlks8KqzaYvA3gNdlLBnOBYYlb/wf7OWN2hg3M3U7C95AqKtRfe3Tx/QO/tsYLh7WIypzdiuM30DUE+ObYMM5vbUdytg0Kf6qmt0o8gNQu0lK4Nu9ro2Sm6tgagGFe5hcB1nP+OU1MEvqDL3Hta3NaCzm+0qbxc4uU8DS2gBVHQ9pq9n0C/Y9zvgYhnzBYOnp4AXdGjJpMNT9t34GmgSADBe+pLc0Lt4zf5T9+qcmkErjdGvmcQrvz1X4a5Ts7fVKXRd9Qhe6W/Q15YSh8g0AFv57djW9tvp+jpnkzd2FK2f5IvM0Ocwxb633QmI3XkOk+ut5fqHX7pft7JKP1yM0rUrzciX+e19D0Sazaev6CGPrnqlU8gOvUrX3gZ74ZE1TxmQrW7j3Et+mGuzN3U49p3ta7Ml69fa4iOVDxId+Lx9NOCHHwUGipPQki4ic9UXDZjWlm6NOc0wihPLlbRzTDgnk1k61RMZ8IR72R9q3D2RGWbhFNuPfXULWSn2Gj86RJNO7oGfF0vI8jtDBc2edAO7V2fz6VX/wRhv4qit99EvvizOVFJb+1CHEW8rwS3vVtfjEXufi/+rX65sXHu7aydvC0BufvOR6vgWX9ysrM+6JQFPN7DTxGDt+J8ILi0eh/sFSIoxe8he7a35mmP/9j1+tVbVx81WW+v2VZr4W9u78S5ZOlp+LE5tBySbOcU14z3Hy/7PLWKPMyf0mEl5LIGzR2WtCvUyS/e3yIjWQW1Jhfv6+7Q/SUZA5EgUjlFsZqUAXV8UcwX+KcvSPS4VsiqkCxo1z6dzAFf3/xgTwWikBQ1qDDFMS30o5UbeCC46UD6YzBxbEoYe16mtIOqvCrHZtp5oXeXxZGDLHxVie5XXrtAKPBhjAWGdyzpLHcP4e8ZokaOVruElc6xyqpFsRNC4ShMK+CrwJ754cmifHJ+2OosFezUoBVvtp7KgH4C0a4q/G7CpnFy63FZQ0nu3NPga0tKoTm1LWesU0A/WreDsAvE6S1fxdi16rfsAzRwRMkNWeuhLgzoF6NUj72vl0QsgXl1/x99rO59+/2TIfV+QfZ1a60cGXMdZMU+AaA1Yq6P15Nj2/5shbADkBnzwaUtI2ZPqyjvfvi9N6uReB7r809/TBbOhKzv2nMar09o3fpJRbLCvwUJA7epZPIlWgG8DMr67IMOcrNfVGZzpyqGmz2ZCyGx1XQHnDTB1/s1imH9B51Pb9aO1vVlP9vyuH1p23QTfjUtFV/fy1R4aZw9XdE+OSte4drd83zVl143Zo7/2ksXce4fE4MObLb72o3Jf3d1AQPWxa5tdbmuJagNgeIiDe20MHanaQGsFTB0i/Hr1WLGQvovrvPc8z1Y93Mqy2j5nDRSw67sBvCZY1jjVay0zFnSqTPjNLa+v0/IKM5p/ncI+VYCuM7fynOvvq/2hjbH1Pvf6tidMhbZP9qo4CW3d88lJhCPvWG7Au4558Rd7tEAMp5YMv88OP323cXa7W/Fh6VU9R57w9HUUvRfkw4+l8zcGyxZLNiDRjO6TnXmy9+h873v/r14g476/ibj38au/W4Ph7o9tT22bKMbKSyzMsooD/It0LKI0gs5YcwgocArl7l8CNBqZLlMzTCXUXo5OB1rXRAUpR86rcuU5iHO+XTcGFNFsOYp9GRxqDCbib5ycz5acAHUOMDIPipkxAHKeGMlpsTudtFlnDLhxNdrdZ9b2GWdoi9mUwjAwG6+yhwpTyw/WriNQgbwK2fXmyPj7v2vek3M3H1l7EUVjXXtSlgAJoFrBVaYmmi5IYc/PjXbWqW3/C9jsJOQ9EH2P3hBIqZFYu8a2IKWAsI5NAUydsjuGaxi0Art7fRWNMTAMlSXtGoDKaQEIA4LmSsncizLt3qYq8zZzasbpzrX3bnSy4KE0v44teXS90zvpEPcrrzWTeh3NOnO7ztYAss0AK6VHL8au5UX6B4YcxmEtL51eOaI3Q/W+gMeTA9wAxDVy5ccGQADI0kIT5b8BL/yv30biu22l1SB3De5c6YBmjK5ThldF9+ljNqROVGkIdNYpcc+7Hujm+9tXK31mg/bc7FUrcWqbVdUXm+OwtOmt6XD829Mr0bcgniNEHlqCKJNYnVmeqs6ubiID6MwGku/quu5dpieuA9319Ns6ROy3LJ17F1y/CgSx+TKrrmlQ+urCAn96U7YWjYZvPEe1WVXbXPwGnWtPG9Cy7nXyyy9rbGtL9/byqDq/g3GGwwr+8cEFvtUBtQlrrVLpwVANLj4FhtdaeYeOxXSjCbtnPgLQzUR2e08xDF1ZZ7L6Ad6wLuZojXaP4YHRydM38MJ+t0yqRILfra+t7a6HEXuQmLnYU+/0ZHqnB7Q5JKu8tzbdj5fxDBmFhV4FiIs3+t66qfRD2z6JwLxvwOcGq1Vk+P0NgtV+PgVM6pQ+6c86msUaMHX3uPe3+1+5eG1KA5sXtxiX/jaeJemWHXQ+yxONn9pdD1sBZN8bNEMf/EYvdF2bvCL37NnV0fUJ/nuSKE3KlZ8a8KJP+6qMl4Y3AE2XlU4N6tCV9Ap8dCuhipGt+e6xNRjm7oG/H8tBUUAeBtvelE1g+0tW/jKG2Hcr0xTRWiZ3yoPjKVu793OER3zHbDuJc+/3O9dR/Aju2GxAcf9TUq5bObQymPXv4KB9tvdrwA2CNrNKyN+IFWMyGsxRNy5lji3dVd5GOCk3i26OjcZcgzx6be/n5lSGLsDaXHriGwBE4aw1eOB/TNPDA5R2EZorbFVgPXWQ4DUK6vdVru6//u8jexrlc42/VQRVZBc0EtxGhTi1wFXbAKX+PY6A0amjZ203hhk1yt41HV8fYdD+KIMGasy3GfWrrG/0s/11fH01Q1k63ejujZC535q1uUGKAmbgoBnwG0ntwQ1fi34xB4AQ7UtTDqXrCpa6JuSyWR7ZFv21+qBlZu6lhK/8o09yccuoyPoa47jX9KP+AV20B+RKZ/OoQfxqWanruL76TitfAL11qLsWXafSQT+lB10IrDcodYMVlQv6925VuAEfOrN9NkJc4+gadG4AtRFz87hRZXOqk1n5vuDtFa1nczwybucwLFi5AFkzMC1ZNxZjx7vTMeyTbRd9fEN1h+BBeUngAKC5wKZ8Xp1vLE880eDqBd2txukeQWMtn+mvemz02Zxl1VxHBrsOr5xajicHocCY42Q8zX7iZViDfd17WKOVTHirh3et1TkpoJf5g39K3wL2m6nFE3hmv+8+3uqnBqgB/vIpWWnbb6a7mrFk21RDGbftA210q98rHcd/7mELQLeTDa/JiHvu/C3jRqM+YWP6FX09Amfzsle9jtJ+s3uPZpzYBa5rU9zPY3bIwrAtHrZXV2Jg7znfMn4SGeY9ujZLqny7QWE2wrOYlR6zVd0K8KRz6sTs/Wi6CrMF5bvVwzk2aEyWBR3IQnVheaTYhIx1j2553JzouFstUceo/dNjDZJLUEiWcdJ6yjv60mO1R73H1n30WXBRoqKHzF46v2pkiOxtLEv27dnv5KzB3K7btR3FvZV1eqY6s+8/8eFYJanogPFPH9XT5KHxthrj4kL6+jqlfLybGFmzFbIBzuqH4tLqILpn/tu2tX5sj/S5ToYBTrHvpotw2NM4wiwKLXor+ybL4vCMEYmTgHGb0V1fonqeLaY/ygwoUno6wV3rIymq+BtB5MQ2g3oPurGIlBOD4rPNAahw3ypNB69chTRnlNP+CqCub4JGSJsV2e96IAjjR8ibuXV9AWKNYh+ZUsEoWK1BaSlQQVSjyHVmCzA5tXVE6qi+ijpePqzRx4/daE+Z6ZeDAhhsLxvF/vM///P/h/61AuXxJCMgAos+1uJpjHWsO5+ufxXUjZb1/wvgyucXfHfNGxW+36E5Z8GalTe7lgWpV1HfqN7l8avE0aqOSsFqnS1za4am5TUFV+VDhq5VFq4pSG+2uBF+97yKubqLvuirp52jf6OW7t8tCk/83vfll6/V2e3vyjNtDFuddPe4Rrhj6vXVB+0f3Svv5T1NNq+/rXN0ecxv6nAIrNA5ftMgWj9vdrnOlXs/yfMrB6p0u9+rYppzOzs1/TOQUV4sCLh8iW+q2yt/+7/P3bz8WNlFDw6e/tnp6py2Opxdi+sU9b49V6HBvM6xdHdPc6e367RX5xW8PgHQHrBjnnXM0B2NGri/gNF11kFFVDM/1e03WANo6rdZ4I7plVNLjqwB2qAP/mmgvPrk6ofqkpt1qyPNnu7/4RrZOhkZGX2NEypoYpzmcisDOEOtupN9a1XbaFSw3Gd7qrjj3AgUylBak2ILeE2GVGVf1wxe5ZQ4OMk1groSCWyNoEDPhCiGqzw24N/MrICOR2T2GdxPvF656kuwwOGYe42Olb/itb6vA85h7zw6N5+XzsWgAkJPfF57cPFEecS+YHrL2pDDm8kVyLl4itOOjxw0xp8wDu1J37+yAWjgjBjzbCCgdpBtqz5r0sM6Xdtb+n0ietQhVXhka731n99hnubdypHyQfsuRuz/TXTQo35z9yNXn5Z21z6N/pOxObXduvqRObU6LDMTbg/iplxlssYoK03eIKcgpOEJ6fYmUtD7fBNwqADFNGK5TklNIytl3P2/l8ORlABh2ipWUQBlO7KpBajXSdRkNmWnRo/1v/uKkorwOPSI0runzPXZUZfBNd91vjVwe6H7Put9mnWuM36ZUhBi9HEwQAWjQlswcg/euu06nA0c7Dfd3L9WRS2q2mjbk7KrMMoIihyNpzYvzysWrNgaLpgwmm4NljHpM/ZaYu1+dVBWDuGQHwpWsIRBbCahPLR735M5C/KVTFX2Cixu1gQtrrPXzFsVKGeu2YVXTm15s9/pRxDJC68wPu69gE8PJ6PYSuPRVACsgK/P5iO3Snfb8LsIq3Xze+Bf5BrwByYZbmCwcyygLT9fo9tAEznloAlsiby3pK4Aa3yJP9qne1qXy5fNjBfgF+BcMLtT1e9J6OvfaYMOZ7gVFtUfN+CBZmgowFCA2N+ZI36oodQ6hxsNbuAEv3ffnzFZqzrVQHnXXSuAf+XcFFDUdqCjMVeeG9BcsHJ8ONsxvp7emA0c7ffZXj24gyzR5w3kOiRxvK1kkmP7BC73lz281RB04Q08XbvRbNt1KEs3a28O6EJv1bm5AOo6LU9bPW7wwOMF19B++nrXrpqMLOJzPNIgn2sqc+UztOfMeDVLRN/5y7F/ehyKDBfs0CCLZi74G+YqzWxbwOvNZHOsBHS7rtfx0J8qEw6AeagOaGYRbYzTozjgETTh5BXL6BdOK8bcfdisfbb/6a0Gye1fxNcwHufNwU49jMoJxnSo7DD8tvf7O17hGG9OtSH6gI/pLw5tq0KMVWa7+vA6R73+yjF5YAvQXJLFesHo43O4BDbCK+guOEZOm/zpYzJ3vcoOzrbx1IlSll8d6Dfrq07k1c91qCUOGvDd7zaHjadl3E69ri25wRO8JvAhYOEw2/3OaeZPGOjSvEmgyg68RperPigW2Zjunl0yWtn0GbziOvrxOrbfeM7WoTeaPde3IFL5rNik43rCHPCTF38EDz41utacVByRia3DF77whQ8+97nPva0DHPE1Obd/+DW0f/kv/+Vm9kevP3r90euPXn/0+qPXH73+6PX/F6+f/umf/v/5GP6v9vojmv8Rzf+v8Pojmn/wf/prvuhXa19Tpnb7Dte2t3Oe+GrE/9pf+2tvz9b7zGc+85apXRRCJKIlMP7eUqG+bpT2KfN309Te9/ob6XqKfvV3t6yq7UbF+vfVWBodaj/N2nQ/kf9F3kWjFjn6m3/zb779/u/+3b/77lEPSmob4bmlA74XAS9dm5Xo2nResg3m1uub/bkZjK5ZMzG3RK30ayZEVHE0cNpZozLKvLoPepmmXSdT0TKFjlU9vgiZTJh9ViJFf//v//23z//6X//rb5Gi3/zN33z3TNvte/vsZz/7ll2x59urfNWDLGSNbhmPaFkjcKJdIsgi/+bm8x6SYvyiylpLMC+/2steflhr1HhNtLxr2uidNW+mUST3Zia8b/Zz7zeWf/gP/+Fb/3/n7/ydt/FsregTkVTRyH3e/YbNwLZ8a39VQthPv2iyiGZlg+6RxW+0/knWW5p8M59XH90s6St91MjsU1a0lRbWQbbE85f32lkGe5by/np2peoIh2uMr2Vgp7uVR9Elo9VKYj/1qU+96X3PclaNYF7dAy5CTrZ2b+MtXd1flqZltFePVX/QVSLKPRCwNJFR6l6ta1tUiciYV++1Sqel9So7nNuwqLuosnmbjyoBvGatVka19g/+wT94u++/+3f/7o0nt2VnzwteKbLT+K19eaC2pJVEzRzgoY2tBxea18ba5zO21NdBac2YtPKjlQqN9LfCo/Sz5mSmVTudX2WnFTKy6LVV3YfbPdr2SHcf3dbmb/2tv/XBT/7kT75d8/f+3t97l9HpPPDK3Vdc3une7mZM8FH3rt653Ux36WTtVOLQQ13f6t/qrR6k2Czq1Vm3xLU0Kg+Vlzou+1J7iGPPINHHvlsW/J/+03/6jub/+//+v797rNU9mwNdL9br3r7a0fJmx9vKntJbFVLpXJo0u3X1+K26QO+LU4wP/7VyxO+awXqqYLi80UqKVkSsX/t3N36f7d6jM5pv7yZsMD0+m7nT1fd32Gn4ZRWUzdp1r/fF6KW/725lxcXx5tG1aiVMs3w3Q+k397va1MrRE/+WrvcwqCc6+673Gd9P189WFu+M3tP/f/tv/+13NP+rf/WvvvG5516PjqO1E+17fof1rO7pHvjS9ok/ql+6BtVHnzjr5PeVp9KsfV57+Arj9P/qq4uXri68lVL0EcwLr3hv3LOrf+Nv/I13vuj72tfk1Ha/VD8b0OHMet3j0e+pil0AE77O15NTW+fxLsT9+6q9WqD7+dqT4rn931K4jq0LdxcQ4GO464BwsDSHY2BYIND/yo+614rCq9Oyvvv4ANdeBr+Komt3ASJjbA2rMLQCmidHQEOn9Tll0EMeeh8H/XB6dt1AJyWExpRUDQ3nSImyEzF7MAqa73vl8A0WoLlyeCAUnbtXqEoF/xQoFuihX/edVPGPFoxV99rovyXNBaIcvBoa69/yoh6woIyoe1bLx+WDGuCWNncPiPsyxubc0pTumd+aeA6lsTrkrU6tsXOeq1yVNvVkywIZfVgn+7sBnq5ZefbKS797pX9uH1fRV7YuLQH069QqX1LWue9GM/tmVi6n3Kyy3bJGz1Ce/BR0Kq1zOri1WL/mQibd26OLlB7VifYbpXE9gK+nL16je7+nr/pIlwITevMG9C693aMyiDYFocom6Qz3AHBfreHlj669uazvgc29Bj4/+clPvpO5AvWCwzoS1ynSd2Xfflm6xNaInptgDQXnyIbDWLpVofb6gky/LWipU+Be1eV+r92gTYOzdw9d9+bW4bU/riV3taPoiU4NMqL/3bt/ywPr1HYbw5Vx/zd4UMxROuGhBh17Ld15nVrXthTV5w0utBSabm5A0n2sT3nN0wRqO8hv58QWovl00Wy5g4hKh+IZrckPeqrr1DUwL+t/HShr1kAsmjsYs32WDsWmxmqPrQAe+sO4sEqdMkHF69R2LJcfOi+ft5xYcLiOUGleGt6A4f5uLSYHTT41qFO+v/1VP18sWP13effiSrL+5NS+Cg4VR129ejH3k1O7V/fU4oPr1BZvsWvlw303HVOauze9W53lVX4pTrcOT0GyljXf5MENOjzZtD92yq7rJ1yev+2ujc9K28u3XasblHMvOqV6ybYIOA6tqxfrZ3ykB0V1D2QPp3hlwNdqREwOgUqoKxBPAPHVIry6/um6V0Ly6voy0Z1D51FGM58udsHHdXabwb1MI0pKSQNfF5DptzR/irRQzIz4PY6+TlCjm73PfV8gWuau4Gnd13sVof+dkq3OvrSiUHbtFPSuW/Rxh5LNqR2I3l6LRdi6F/UCP8BghpfC0yiWgfgadLS4Qllldg8yQR8K6xpeTkUflcCBFZ23Rk/g6oKF9XeNPEUAiFCmMpLmMsPNEbmyViNsPpWjfv5KRvv+RlTd7wJZhqeZGfQtCKnjbp172vHlsfVxebVjeQqUPb2/oL7tyaFqY7j6+6c+arTwBVp1DOOP8TOedmqlU9bXh/1PawIZ+6zOUPkKPWsgjZ2+ALjqINUw+a7Zd3LczFid21YeWEdr2cBddUsNaXXgzZIU8OKjjvPaCQ6+PZNOSO0pkb5bE7gcoN/6yt6uTdZXYTJ9tdci/FsvVRfuWf66tuIGWmWIjal6tRnPXecgG/1ccF2Hwuc9I6C22mfl2TpTaNsT/i8YvaD+Se/Q+2xWA2ZX7zwFMjquV3LW+xWzVF8/2dO7x6v8+D+DReixzgV/XT1251Bd3MDYE89UfgHJ4pU6sFevX12Kxzi1mkBC5aTO+dXjva+xFaiblzkZd8fRPq7j1b2udNTFdPRxAbU+p784SX10TMfev13Dtifeu05Lry2u63kZglWXr2rT0euVzWww831jvLr/ae5fDYN3bRsc7thrl++5GU/3KubEo3V83AOGeFojuNtnPaH9tidaXXwCw8Fx9oJXpvBnafkqW37H2/lWPm9G/RtOdVLp8bX6S084yP/VB9W/dcTvGpTHObT9299UHxWff6RObbNpSpxeGaUagicD82R82teT8r59F8BU6Pq7a4T6mzvu3kcft90xPPW5JnL3ZMg7tuv43kiTMcgAKuOjqNrfFbZXTNcS5iskdbaq9Lte1yiWLoTTvS8YNk/A5MkBkpkjpLKQ+pZBaRYIYKsCv4dT1CgAnhTOpfloMCPWRzWZQ4EbBV2F5doqrq5Xjc5agehejGcF2dgvrfXdk8GtpfsYi4yTMXZtHaAmY0rRc9oZCv3VcBRMVDZegc0qYw0oUirbE1wLNKsP0LCGWr8tVX3SMa7XDyPfrIv79t4d09eit14BnKtralTbb9ez/TSzdGVAuZ9DsuiNCyL6qKsro5WFjgeN1xh9wZwGYYy9wRqOqwqHArLKQCsQGoDxW+v6FGyqwazsdA5dg+tgkekLAvCk6g7ZKtH89dUDyuifRtvXpk/22coBu5Wh+vvai7tdxXsBCjwKcDcbenXttUmVR+/p/5b7XjrTkS2dLa/ULrwCN5fvO6463F23BluMQbvbT64s9b2+L454ZUefft+5kYO1BhTuHF/1qV1H2jW1KZ1PA0/9/9rr8Rh70t9eZ52sdk5PNrz2v7jizoWs9kkLpUEDDeUBtvJmgUr7OgilJ6eiGMtc+vs6i50fuzL92QqR/QbuaNCNrS4W0MrrbbVdd0xPvFHZbCXa5Suf6xuNuoatvqidhgkuXqzdvnx1dWn/v4GG8lTlm468vPu+1vtVJrrGl/Z4++LW3nP/V8f2mvJRG9u13wnsWCOBh9qUJ9o9VcQURz/Nca3rV5p9w0NS5crRpWfv0bW8cnp1RPu6/kttTte8WyGK0/k3vb73/1ieU0tY+uytfn+Z6CqxKqAyZhfviajt/xr9Vwbi9tu+nsb8BE5f9f3V6FThucb53vtpXm1+S/gvk1wh6e+eInA1BsZRget+zxrWtQrQBfhPYLH3fKUse43WbEFLVYCFRqJr+I2HcFynlkJVztlof8fLsQbw6thdnrk0qcPWLNuTklhrdM48quz9f5283reZSkq6dL5RvRuwaAR4rY/LelKQVW43it97XkPV/i5IUlbYcb76HfrUqdVP1+ApGt/3Xcvy5vtA8f390zVPRvnyfY3u5YmO4Sr0rmeBCOdSGVn19dN4VS2Qr6fx3vYEhBlaZaCAl/kJhFwe7NgaSOue2ZZqtZzubtu4mcfyZIHVdegKajrva49KWyd20gvlm65PgaWGvz3ax3Yd11iPGnP6S5aJ8bfGSiJ74ngzB60Q6rpcvX91Q+dT2tBLBTfVbeTyOhvVT12bOhOlfwNyr+wdveHaJzv71J5sbWn+Prtcvnla947xYhnrcPt9ovWVuzvW3qOfP/VzHZK7ZheIXlpfffw0zgv2r83Hb517HZqOv2O5Ov7+3nt8/nTtWku276tBZ3LCqTVGNtGJyvpulV0D3K/wZ/ms8vNkk/rbV0GItitfT3JdB/e+XgU339c6t/72iU86F3q6+vcVLz+Nqbjg3vuVzSvt2ze+vLi9OuXJQTeXfWarCr6EPa9DXB7o+pR39HsxwJPefd+afcPXkOh7mtOrdq+7vPo+ndogUvHbk9N7gztfTZ//Lz2nVufL0ipTfGLIy4gFGvf6qzyfDE6JtPYUvbsg+YnYr4zZ+9oFSfp/X7M4jdbeVxfzlpFoHDPOHND3Snn1/o0QcVwqMFd4Cjz1WSCojwIhzuOlR8FFx9gx9B79nf7qqOkDkJ3y6KEnvvfdslXNbsgeraFnHw8BqOpjLwfk7HdKnZ8Md6ObLac0r+5juPRBk7WbianB7TXvo+Puq4/KxFWavd7vyzf2ayq/tg5PSrT91MEq+DX/Ptqgkf1GKrvWrUZAx13XRwQ98XOd25sVNsf+X6B66XEBSdfwfYr33lPft7zz8kQNWfVDx4lmC7zYs1P+u3vKnoyZw5LWj+go2lV/dI31f+dYHd6xcu7qqD3JQ0FXSzD3ElzqXl9/m0FpEIuTDKB2/W5Z2ZMhbSCGA8mRXllxgaGskMd0kM9msrVduyytTK194pWngnjg2iFP21bhfugqc3QrcIyjlUC3xLoHWt0qhdKiToTxFbSVh9EcfeqsGoP2tCe/1xb0tUrp2iq6w/fvs/Hmcu3eXfMn56K0vQ5ex3vv1f4q9zfw/CSnTw7OdQQKGqvT0ZV89/uOr/zfNe1vbrDjSfffcZfO3lcf3Xnc9/vLTvtcGal1Mk8VXdXvHatS6FYhCdyqCGn2SH/jpx7YKEBOFmwRaxXTtUFo4N6cH2NsJr78UR5lUy/OfaJ531d33zNuyteXx9uu8+3vXd9mFzumBuXLO+zBtYNXju58L/atvuo9yw9Pgc/e82Jqa//kZN22MThU1H2de6HarfzcgHQDDfpq0KH07/eXjtcH+sMHn+irtRtAf/W79ftUnt17X73UIHeTTl2np4BiE0ofuVPrAJ9NiFN7J2DCT5EH7Ymh1l5F6/TZyG3v6/s2C3qVQL9/+uwJuPquCvh+fksVbo19jX0zjRW0p+a6HhzU8uN737Yq19KoBqXgHuDgbCg9a39VCF2va0SqyG409oKBNsqXcjeuCoTv74EhjEYPjKnQABYFqNuHCwyWDvt/jjGF7WRSzkINQ/mZoOP/0vkqKq1Gts/+bRlm6VxnA78aVw3NGmPtO302YlhDdgFODfJVmJ1veavOyZoghf4KHjVOirW1rgMi93AZ9ymfVCF2T3h54RrEaxSNqdniBrSuw1vn45Uxqb4on3bclRXj7nctq5RRN/85Rapmpo/Hpw7GojNKv/KTUjVlzMaLR+iqgqqCW3xmHRp8cXDUxlSn8tLlKfhwgXMzt35bGTaW7r/vczDRAQ0KVO6+X981++Le62f07fNCC+oYX2tXftPola2bE7lvA3w46itZ7rOOOShf/OIX3+3lLaCnwz13vAExa7WxKaMuX+BFz3rkRLShncPV8Cleswb67om+HAZrg7ddf0E3nqp845U6zOShQY62J2es9O46PwHj9lFbZs7uX9331F9tpc+uM1wcUvmjp+gl9KRbbraQ82erTXV8bZP1UFrbZ3ObtzlVL/aaYqPySauhbvDjVohUV1b34KHyjOtds793O1yrpMZXDnjay7aiYhR805e1Gl08d7aYg6zg8acDgaxdD8Fx6J7ryg/V175b3/QYh3uVHk8OB1r4/dWxrRorv7UyyxzQ+EnvXzy3/2s7b3uF1V+1Ypknp+ZidbTrvYq1b0CvDlfX7AknF+9cZ07fbIZAIh7GW+5V+2Mc5Y3O+8knKn6+vtAnzhkn2hPmelqbV41+M+6Lb5/W5dL3iea998VId64fm1Pr6P/W9ZdR7mBetes41ol5ar6//T4txpPzeRn1lVN7if40zi7kje5cIej3F8Te6NDTuPr502/do4a5CqAK52me16FpJP0a1AYIGm3tdbdRiJeODVDcOZfOZeoL+Du3Oz7f77trWKoAXgU91poN7WnA5UEA+K5L16HG6/Kl96LA9uhdI2I+pUH5y32eQNyToee0lKdeBVsKLi5/X17tfAsAO4enyL6sYfl475XSFqQ+9VtHokYMsPPdpUnH3j6v3KJ1+7lObel/1+TS8n5+FXtPbaxT20cPAJn2mvZEy/J85bvzVkL3pC8un11AfyP9BfQOFsJjTtYtmL9O7fvK45qZ63qVn/ZXpqVjLgA3d3LfoF3H88TD1p2ziC86t57I3LlW1oFK69Vg2nUyqqOtt4ADPikvA9wDtPbGc2SNsQfk4Bf0rVz3NNdmXUv7ZlkBs1tlUucXX9ep9eihNfMTrFAVcPkWz98MD155crC+FnB0cUWdi54223tUntGpTsSTXqjNqZ2rjr22/tq5m/ltMEegxyF7Pq9OE5AR+KMrZf0r05VTmaevBYe973Pf4buLgYzL3Gof+5iW2qw6tehlzPYUszPVj60YcsCPYJH+dx3atBJq33nqwv4X8LrYw9q3kstL5d0TNiid0GVjq3zea/eC0++9rkN7f3d5szxafnzK9j45YZXdV/J3fQfv0eH6F3csvb561+fFM9cmtnV89/0avXtbZa/Y9Nrc3vf6DNc/KD2edNn76Kndfm5guP2/wnO1w7WDTzjwrs3TXPrZK4x6dfrX274up3bPt1pUClh5Vcb1PkVmoPeaOrYXvLzPqb1E6XX6vYrO57cZf43Z/c01JnfxriDc6MNV3E/g+Yn5KJLLNGs3C3GZ4oLQqwAKrDhYXaOWdumjzqqxPTFoM5TNXN8s8F2/y/hV6E9GsI6MF+UyACn6/BQQuCDUOJq9UqZ5AUqzrM02AVile7Op5ff9ds8+M4YFjwDeAidgvHT0f6Op996+wx+XpgDcBaNelzbXcSg9ynv440Yfb3ZobaBj817zWAuOyg2u1Eh3Ha1VxwvY3RKWJx1VkFHQUvnfZ62SuHriCejV+VZ61IzHfSkp9ftbTo6GsgLK7e3P3HcOHyK/PURI2z2AmJuFKW+Xn8pj1XWtJCktyKuS8Sc9+aTTm2Ho/So/LesCFjkXBf+3xGkNj5SHrkHteFy7ezjkauvisK21vZ99bEDi0ryOP8esckP/diz0BmevwS+H5ZExJ0sDvkrgyLrxyhb1xOk6C8bA1jcLWqB49TI9omx6/Qz0+87eX3Ped3UCVcR4/FD1nfsUqF/5v59f+e56lv8uT8tutmKk+9W1i4HqyBpnSw9budIgWnmsNC7PtjKl2e/a5epOz4T2fx3DHubGQRIQwVO7ZtlA88J73RbyCoxqtbUX91WWr23f/61MoKtq28mW6+voWQd8qypCxlZV0HU68WyrTK5T24oQTu0rB6Rrf4NieF4ghxy8wpJ16vFmsVvXwXN0G4yv09k1aHvCQX2RE3bx6vHub7+Y0ziuI1r+6PXFmMU8xU7FJ9W1HWezpq1UeZ/D9OTUvrreOFrd8xSMqy/x5Ct1bsUedZCvM9qx1aFeqx+05relMb70/VOrPDVI3FY9UH/maX6979M6XH/qlW75SJzaPVNvwvf7v//775TQU7SXIaryv8S4jHwdvhLoApqnRcXYd9ErpJwC9+/vrzK9C+LalhL0b0FnSz4LWuqAPDnDV+H4fE02kFI0T6Uo6ClCLxLLCLcUpgrD5+Ywxd1sz1M0rnRFAyDN40OAmBkAfHBLC5px6GmFFDKFr7yuRtp48R1aUPzKb9bPSvCMgcNeQRIJbmMQzFGGo4ZUsy4tFcIH+jKXKlmOx3Vq97eZtxrWlid7XyVVpXozVa4xxq5H+bE8Xn69jtfWpM5TMxXNar8K1jRC7kRcpyAr5+k+wRr1AiDR8c63RqH7eLvuNTB1GGW4rhNeGt9W0HCBauk2PqvcFZS5dp8NKOFn8mScZFr58fob6F5QYP/PWcG7a83UVR/uHvQ0WdrvW2JXIFneq8Nq3E/G1Rpfx6k6vjxxjfCTTsSjxnQDPV51iss7rpeJoVtKo+uY9rTRzWX03nv6ba/18V//63/9itLhJ2O8tdlBUSoyCu7sz1OOvzG7164H9I15Tsf25u6+63PXe3Y3Zwf/rO03dNHG7tyArdP+r7P0ZJs4PvveeBo44Ewbw3jsP/2n//QVupP9sCZkf7zHfm1ebGd1M17H08Bjee0pEHdB4uW9XsPZVoq75myB/d6cq9f02T3t+K97GQXDfN7x31a6trS/VXKc1WYs98gpPPif//N/fluvnvQv2DEaz9nD39Ydvtj67bf4Y59xBjeG8Rzb8iSnt1zxAl1/zVPQa6+NbyXCtlbAORvT9pXPXu79Gn6eHGyvOrnqutqTrv/pys1/19NNxmcrBxmq/buVBs2amgeeQG+VNOTHehrj7iNgJVDp+4L/3oPTfbcv4Cdy9hTMvo5S16J2RgYZvxZr38P8igvrtNTZ5bCzHeVv1+Ita1H5cq3+jamPGtW/ebaM/Y6zgZnintvaXx1sDS3o7j4buHJe+S9mrRN7gwR3TL3ujvXJWf3Ds67FJ09ON3rf+5W+Pitte83Fi1e3PQXGe+iwdeuYvp72dTm1A0tTAntQfJVxwavMiEiygRdUNppZ8F+C9f/e5zL7+xYVgUusy0AFLZSGaPLN+N3F6O/NGeN4rEYPdSoj1Cl65bQ/RTdcjxaUvj4pxu5NaiS8wt4+CTgHgHPBaQGqvOc4oXGVUudZ+jOoVwB27QwVhcFJX5+yETVKFYYCiiqbKkDO1xUktHxSZLdVwRPAOoYdQ8dOmd5ytGZNRKJd2we9kxtjbMnoqwgXXi6/FjiXF6vQG5TqdQVMfV8HrZn8vR9gwIN4ouDtrkMPA7KOjDfQUt7He1dx9j77q7Kkhsn/pWFBQMvr+n+NxOWbCxpuBPIGCdARyCEn5jxAV0enWQiHlgEX1nLvp3cG2ICoGrPL5y2VK8iybu49+QHyG0RieKrba/jxSOd3eVZfpVf1XXW1gIX+8Bs6Vp/UCLsWMK6T3j2pHXf7AChri8hgD+SaPD+VFJfu1qcZnN5X9qUgqLR9lRkoP9tHSwf3QD16G7iqLrh62dy71t3T6/9mZxuAHA+Pb4D2yoUxeK7yeNrfybqtCHi+tPR5HYi7Vnj7yt+VSXwwJ5xTvznMaaoDItNnrzi6VZcVNJovJ71ZcbZU8Lt9dK43AO69NcCL3W8tMw7DLKDgoKXphK3FnN4lJn7gB37gg+/6ru96ozX+H++w+Rxkjhm9sL8LoMhQVqdf2a6dKe9WzvG9QDQbhm839vHGxjb8+T3f8z3vrlvrYU8y0GSdrdj6kU92RrVLacehlbHG24LhnMnqF3x4HYWLZ3evBly1VnvdSgS6oFn66r+LgeE4vN610ac5Ve97b8zFBsZ2nUtyV9mubBXvXF+B/JaPb9KgtvypnL7B7qsji1NLa/q0dHpKtuDP4tfrvGmur7yW3k/4oLzTwLl1eQq+vfIL3hf4/YaTRLw2zKt0u3iq9yw/dHtA79ux6dN3F3uXx+sbdc5fr2P7dTm1wNS3fuu3vkXpyqwWSORqSkG0wsARTyTtLnyJ/vR/QXfv3UZgKpz6KTPdzEj3/TDMAF1BgxM3Gzl1X+U97lFgadx34Z6MWed/sytrDSKM3vZ0ACw3a+g3dbDqtMsa1undGgEa7ufgJP3V+HWdCwyvU84Bp5QBkH//7//9uzEBF2vrd/NTEoTut9RXa1kmWu8z2Str8soQ+6yGh9LB2yL4+L1OPCWNPqU5A4BvlDRbgzrx+r4Oh6gkR6/j9F7Wuwr0ZqlcV8VeEFIQfB3bGhb0laFHq30PyD0p3dtkAK5TpFSMo18j0eBKwWzlCljrOtzSVoEF74HROhV4u2DhOuqXX6qzCsZdZ7ylLZ1Dv64BWgDe+gHOrvIfT01m7Wu9hrpZZyBh13jm6fowd7pwQLjGq/PAs1cWzbfnLggOXDmrEb+/x2dXt5S/b7ClAYKbQVSayyiTY3xzHYm1G5isDmLXAOo6LlqBwdZmDkGDVXXSBIO79640Nw9lkDfTjwdUAaBdgTPHxNgq+3ikILZzbym89W2QwPPrBSGNsXJl3fZ+9JiTP13BoUVbeqjjwC/mcoNkAh/3oKjrbBSzbKxzwGWXJ2vLcNK9HuMkm3azE/e1Zu1sDfiTf/JPfsU+au+LbZqdKy/2XnQiXNL/R+vZyukODuGc2l032o5nNq/Z2l/7tV97G9OnP/3pd/p69/7mb/7mrzgocs6vNWc/Bc+KBW7A4PL2xUDVjeTwnl7Mkdw9JzNbg83jU5/61BvPyDJz4st31hM/b157CZy0omsBjNFsv6lzKwDmsDbbOMYfDebWHlk/+qoBHIfM4WmYAK3d6yaDBFNa0lo732YtawNvs99W/9ZwdEZ7gZOuY6ttGpSDAWpb/K56Ho/VeW3w6eIPPIOu7NB+2wArnVy72/4qX2hkDOhYDNXxVq9eB1mrzPaa2sO+L90amC2WaJDB/IpjaoufbOdaAw/XIS6f3EDAXbfbZ4PEN6njGtd3Pa4DXmxyK/tu4ODrcWy/7ufUTjD/3J/7cx98/vOffxdN7d6TRm4LdlqOwzgQBFnNgspOogxDKdYZvot2o86uIagiypQpZXidr303QSLQ9vkAHN63DMIiMwKbW5mzQPIywI1wrBUEFwAa45TtDFXLlMrcjYJSCk8KUYnMDB3HWJmc+TIku27zUpIFXKNZT13dfTueKSOlPaLh+90MLWdWaRMj3ahSM9FeaxzejU2WsL8Znfa7lSjtGuB9nxlDeQWgkE3d+y9/+cvvMg/ln5Yg+W2DA/rk6Lk/oETwAWOlYv5X/tVyZhHKOq4MsnVBtxvB1wA4RrxzvyVt7nMNF9AswOGaZd6B1I7/7i9rP0ByQQWd8hT0IbfjFWvk2YLu8R//43/8iiCJMQCU3tM/G/vWRVS/DkZLw/b/xtiAQ8dXWtQJMEcGx3NHybqs6F50wuZAPwkSqKQo2G7gcHIrULVWfv+DP/iDr9CT+9zeyzoFu+dkdDwikorvVU0IaODpJycD3danEtNW51iXRrzrdAiW1LmidwGvVghxVGRcfIa+jTB3bRoQrZN+A6Bk0PoCIE5HliFqv9p06MB1qxc67r1XIdPTTulwvDGdP9AOUKARcHqf5cuGNHhzZfEpyGz+zcQ2695ANt3ePb27bmdxGItgCxmqo9So/Rp+tQ54RBVDdXRBEb55atf5hAf22x/7sR9751Tve/I/WZpzOAfv13/917+i5NrJ1NVfDapvbLM5HrmER9jX8YN70jE3eEgnV0f8h//wH95kc7Is4Lx77TOBvH22l37YFZlWgcLf+Z3feVuzrdP3fd/3vbNv+7s5w2icrf1+PEzv78VOt+Fn+gKP9NTsrjm6mz8eEaTba7SDZQro66B4kZXdc2OEXe6Beg1+l9ebsd36w3xbM+c/XF6DE+Gpru09AE2wSSCiSQA6QXJoff3pP/2nv0Jn0Hlt+IfTQj9wxslsAzToLPAhyHMzfea1vvp8bXzbzzgndAnnjX5p9r6OI71BLuucd2uHgFmD6jd4XlvEDgnqeSybdb56uniu+gK/Xp2CRnT1Wn0dsgenWLdWDdCH9Y+q+zqn4qcG529rQqxZ5+JD8nad2QbUmqSqn1e6+A6NYCljbhBSv8UJ5sFGXSzxsTi1bjAlMwFzMEazM5QCYOw3BeSyZZxa4LeOikXuhOqsVpi7KDcy6H/MCzBTjN2r6feN4gN7HNS9MKKoGmZtFhLo9XsLSVjWKJUqsitcVUxlsCofez8A1M7DwQfKwWrM0Z8j1cgooLt7WROKxvwadfNZy0KbbWRwGBmRVIbDOK3NFJjMdxULOhi/+wENzZRTgBxJkUhBlFeOWoV7ym9jH3iYgS/P1ElpxqKgrxkRTkz5e7RX8lV+MK5911bwV2do90NHysO6NHoNcBvL6CzI0CBI9y4DD40IVuY5WS1Vdz/KE/jpowwKBnYt2UJ7NNxYxisixDJneMbjRxr5NJfyEf3j/uZhHXw2vQYkWhtG21yfMg54p+t/M4lXR5Kx9eXREJvX+M062CO3xikAsHrgSeVWmeuV6+61bVCEcwxwuHdPXu62DM4h3njax0bv91FN6w84rX5fn9UpZEaw7GaDvMeDnFdjBnrIRINstRVaDbG/N7hqXpWLBpCAfHQWiCif460Cv0b3zYleRXMl6XNapkMLOv2mAc/2Y633YnuNtRmgbrEon7gerRtAxQ/9nG23X1c5NB6t7gVKtWay8I814ZAAj5xs9Cu4uwCvIMoYjZmzNf1u/b73e7/3zXErNgG2BPE7X3zCpt5AQwP3DTZwQHvexeUNtvx+z+H7S3/pL70LFn3hC1/44Pd+7/fedEZtK4dGVde3fMu3vM1h1+/1mc985i2gvb+qv+Y4Tw9xZou/PNqRvt44biBBOXHLeNd3dVXXiS3Ba4JPaFmdX1CN9tW1sMbG6TCylS7DO3jT3PDUPqcz9/3o6HvBiHtSf6tc9hrfbD0WzDDHymkzY5I/+Kq67jokGwtZrv1vg4c4cHS06jL7kGsD8bjvnQ1QPQdvbWy7brYFDdkhNCOzeNr6FAeXjxschlfovOI/OHcvwVYOJNyLNnQGeaM/zF3wG5bunnJ9oPu1Ef1sbQEiWIOeLU+bh/nWYa7OIk905bVJpW3XsE/LWKszqOGp+gY3cOxvcUod2eLbbkGpHTYvgSO2bk0w2riLK4s56uzq/8lh/8ic2jXRS/sRWl5J0BttXCsAZogsmkgaJcOItCQR4QpGaqQuaCx4RDAOFSAsG9hn8q1hclFXY8PMgIB+OSnd/G5unFoLhHnWZDfW0O2VQa7z2H0f5uTejL5InkMiehgKJiIsQA1hv2DLmshs7fdThM1UFEjdaCPlbcyin5wpRq9lbM1mlR53Xy+lR7nhLwDWWk640Gith19coSmPbZ6U6LIjaL2+ja0C71UerWPYTAkDe6NvpSXl0N9QUPc+jGJBmwgtPu/BNnhCRLuAoH2ja4EbY+G7KiOf+Y3sk1Oon0qVjHHt6g2ODZqLsPaUylta3Uh316TBoYLDu3e8ZWqMPvkS6DHPBtgaVKus1SBcOsuKTh8x5st0C6rJyKEzw6dPAIKu2hhULPTEYUEF7eozfFZ+buapp342m9+MSXXZWgGsKL8AYrN21xm5AUmf13iu4S96HS1tWcDjT4+QIWPVg8ZZ8Fl9Rg93ng1g0JXNHBQE+a7yXv6pwSfTLTc2T8AB/ergGksDdtchwvetNEJb4LQ8/MTfaN+gozkBkUo/6Ys+ToVcP9mO6o8GSGStjAlor459VQr5FAyvzeE07D7KXTkv+iS3Dfr1HgVrlR/BsfJVg4hoWf15x15edI/1+Wf+zJ95t0+7lWfwDZxAR3CGBTZXCfId3/Ed7xIM6O6QKcCc/vEScAVe6URNVRB9aY3J2Gjrey/Zcc4l3i/PyPZW/6BZZbM2QT+ylAJPPaytlSsC5HRH+Q4vapxa913CZw7t+P6uX7ELXOQvW1f5F8wUpO/ad+4arNkqD3ImuFndox+4BEZY0KwOTUuR937XCdDJpG98DRaQ4+KrYss6NKVTt1j0ULYmmjY+dh/GdA3nj53EU3XM4Vz2pRWm+67nVtRGPemWyYESdfx25fvitOrQvvTvfrVLcAgMjH6cxVZpfsPDycjVHeXXBqlVVNRvasKgPk4xGhlyD+Os7SZbvb72q85y9WDn8pE7tSXIFnKDJigGbrAEqYJXIpTwJscQ2tTvJE9KphGJRqVvZOE6R9epleFslqqCVabDhLu/hW+GpKUsxtP9CBwX4yyoEzE0vzKq1kWtozoD3Ayne1aZKQOjKGVHbv89qW2tgkz4vecU2aNaQ2IN0bFrvjEOnDvRkBJpZKvKH/jevWYgmjlBC9k7hqFOpr72njNa51z2tgd1aB0Hx2CGf44GJdtgi/e3LMW49NkMA0W0z8eXNWidj7IVrfuKgSHRPxFOdKegR/Mnp7aRMTxzHUOBjCcDSmFdoFt9YQ2NTzn6jdLL3hszGoxnZQkoW/di9KpnGMXOjfwrY6bI8Xmjo4JsAm0bLwA0nhHMs+e8hqXrzLA1e9h9WpxyAQVOLB1mP5gIsNKvfccpWr+cD/NF081lmQnz23fj5Tq1+JCxBNoK9kXRzY1eoDPwc/c7lcdbBrv7czpHXzoEALI2lZ9G0K17bQB64R/jHj3xM2ecI07eW1bZzDywjRbWjrzJaG6smxO5U8K37woM22QtCzKqu8xJ/7YM4BXyv8MabW2h8wrg8XbLwq1NnVv6f3O27sZhDenMq6cbKKo+XBMYWr8b6xr6CCDtt+QBHVQr1NFzDwFidkxwi8wZwyuntn2ZewH2ApcrM93rH/2jf/TBT/zET7yV427f6X63z5e55EjTbcbQMuS9ZjNkh9bH9oKOJrNH28rSbRPkt0FLurwB8fGBMkw65+d//uff+Aq98Taw3yBLHZTpB9V2G/vv/u7vvu21nY4bvvit3/qtdyD0Bq7Wx8ZhzitdNldtfdgiMUdPkFA2kl2jI9f37r3X5jN+Z7eWWRYU2FYlY67dI/vWeTw4x3L4YTTnjO2gqW4rqfNc/hBknZytH8kPY1ad9O3f/u1fIX8/+IM/+Jb13liL01rNUrnZugmcXGBP/vC7Cp5itbZuT0GbOuySC8XPmxd60HMSP5xIASfjxrtb281VAMip0kq9W0lkjpzK8kCDpWRh923Jsd+NnrOPdD9c0yyh+XUbEczHHrWCpwFn6wW31Db4rG36bb+ZTLc/lTpk1T2KY8ioYM9t7MK+Y5uq//hMlfFPPBxI1aBe7an1rCxND7J5xenNnsNc1TXVvYJAHFl2zTVsaAOvpYlsef2Lj8WpFQlohLgKqVGyZiJu9MJiUR7NCtmTsNeU2wRmiygi1PKep+yA+3pZLKUVAAJF2Ki9cfWk3EZpZHQoH81iMdZAjc85hnV43depivbrdk5anQZKSUkiBsOA7kOBKEuyD7b72fz+RtvrDDT6Y8/FPlNGeDMdHLVGxK2DAALFKevQzJb1J5z7f0apQiwaOUPT9ayhJxT2TloXj5jYvUcbj0Sp4DRA0ozT+NEBGfaPuEedLfdq6UzXkePWOTM8gkT65QQ0QnvL8tHbd1WgNUTox3AUlJJpCq+loAySfm/1hOb/ZlfIR6OP6FsZsj98/CEzOXlvBrGZvgLT3v/KbedSZ6Jr/hTJBE4FvBrp5ojRFw3oVWb1B5hxvFo6qQRfVsVvyLK1AS7LM3XEW+7Vayajkx/jboCkPG99Gogonz0FcDhCAkwNNtBH6OlzRk6QgjONJjd7wsZYp5ZxNVuPf+jXAt0a7wbwVBwZg1OjCz7xT/cdVy/oj40R7OAYGIsmEHId9WarC+4aCJEZ6b5MegNQbbvApc6v33HS2SHOuWAWkIiOV6cKbOz+A0P4jsO01xye6pry0/Rvx4Q3ZNVcWzo6YA/f34AbPm1rptXzb2cHbnBj3w2kbi4/9EM/9MFnP/vZt1Lk3X+Bkt37l3/5l9/pwVZbCJgDZZvb+GAnDHPqNs7Juj2xDaRc2rAreA0NrhO3cY3X6AAltz2bofZh1w2Af/d3f/fb/H74h3/4g8997nNvc/nX//pfv9FC5nrOJBxjfOtjY+YErvVEYI08T/+MB1RLObxq1/ccjWG9XcveKxHdnBYU4FTI0tEn5tRgZYPd+26Hm/7mb/7mu0A4Z2+/bzYQr9En3cu77+rkkUd4aH1Y72ETen/rvbWGlxrEsmaj08bOEWA3YTDVAy1xfSqFtVatDoRZ6RL7rDled9sfzLI5NLiJvzmkHP9WfakMgK3MqVgB7fBLzx1pNVCzgj0zgR7yG8FR+uUG8hrkaoVFMVt1Ptq5H8d6fcxGXD5fuX+xFltXfFL8zl6RYTzA4S5GaWXHeMnjzuh/QT4Y4Y/HN+ta1s/Zi35tEMXYBAlg615Xv6r61l+6lK6VWGsGunaqPH4x9NpN8n3kTu3NZmG8MpDvbuaH4UG8DrRZFhFZCpMhpuQbhXnV6pQ0S6Ic9TqWN6pb5V+QA1j3OvOtY3HH0OYzc26Wxz0qNPptpL17J+vw9v6YfYpFtPRG9tGjewqAaYq0mbhGlKpMK0SAsbnczE+FolH60uDJaXPvghnAFJjUn7EWFJnDPlNqK0gBHJbmpbsDppqtaJYO6Ou6cuTq3KMDYFC+b8ZhzZj8Re+WsJU+aMYou1cV7Y2EVkZdR85bJmIvsnFyMhmMgrGuOV4UZb0ZhNIcMJeZxMMtX7ljx0u3FNBnd0/OjVZeENmxd770A1BTWa6xqE4q3+P1BnXIQEsE972xNWO2V6P3fbxRI6Q3G6XtvYqQp0YPXcBVnlJxwpA+ZRvJgP2k5ljD1OBm54reZLcl9wCMaG+Bg71i6Gvta3u6PtUhT+c44HlrXp13eQeP4ju6QVagWxy0Ari+OsYGuDoGB+AZO30tA13dyi43010as4vN0Hdff+0LPWZ8Lb1fU+69vxyA7kW37g0GtNS7EfoerNOMaINq1esXk6DXdfD9DxOgb9d9zVo3a6EKge67uvIpwLj5cFiBe0GXZXAn9/YIokX1enmhNFjrdqfqeHTtlqMGGfWx38jGcBiXpV0WcFnQ2ksBpwZVq9+Ms2X9msAXJ6ZBMLIi8OVa619+XYNhrJNMYuXm0o4cj8fmME9+KjMwEl4QwESvVpl0Wxd7Boeg9X7Tg8847K086Div81kd7HUDXwIy7ned2uKH0qA6i/6TnfXX59VL5i141zLX6mvvG1y7fd45WuMGY/F1A99k3lqvv+nXBu4bvGPr7lyKT+5WGzRAd+vGrvm/PKlNltijVk51DZsp3/s+Psx4eiI6TFdabc0FP9Y/f2iNHvnfcngtWSku0Bp8q42wnavJogY22HW26cpfk05rsws+u9tuagev/u5afaxOrRsWYGG8eutrBSuMcqOaBQhtHDcRgkb4G/GpclgD6pTW6L8OFOAI8GB0jFICU05zZuxX6Zzd52bD0MD1FOg1vnVo0aNKWSMI7qsMrWVk/raMcuNfdHTRtp7mWuWj7x6g5ah0QrZmLyMhJ0hdu2Zq60iJwDRrYg72+KJJlXtLNThWIp2UEOW16wBpzgyAWzpb20VrNwaRefe/Tb97LWK9SCmhBnLv76qEW4Gwhq/Ror+pE7hWwAcc7r4zznfPHlDwVE58o50iZ31R2l2LyhCZ41Bdp7aGogEu61lZAxjxvQb0KXkChGpIOH8t5a1TWyeyQMP9m72hTwRuGixoNtC1DbihR3kK0DT3Ztw4s3spN+aE9fFQDcrUYcbbBbrAJvBsfAwK/pSVmA6TBbvrTL/UKAFz/b8HmjWiXPBbJ+vqqsoHMIbv/FawCD0ZaONlPyrn3TeIJuhUA0k367fBLHYNP/is3+Ofzqd8Xznea8Bra96g6c2UPxny2sBWBy2DqK/dxyNoJjfL1vUMAXJji0sj5AKj5IwOrYPXTBheb0DAvPGt0rvpyNmc/TXHjY9Dt2tmU20rUOq9Zr70C91kvfGPE2G7Rl5PDq112vewQDMEXW86ZGP9t//2337wG7/xG2/OnoN0lr10erhgnzEKUNFHk7nJzObqFPZd86UvfekdryjjhDeeKl06N7a9Qb06CPhr/3PGzb/Bzh2KtWzx+GaZ6PHqwPk+l/X1mKUGpOrMofXGJOvc5rAkQee9GiRwuJAqMpnYgv4Gi/1VFSDTbjycUDTDo2i78u/dx2nus6V/9s/+2TeH/otf/OIbD48eTjdWVgrzNEnhPkqa12fPDTBGzz+GBSv7xo4Pq6/oEU4VPAyL1iFp04fsHdq4B7lx6OnF88WkTWQsIODQt1b43aCujL0AkC1f5sOJNlbYxX1VA7IrTbgUYzbIUMdsTWWnLZJwQgPFZISso5MkhSdztBKkfkPb9MH6mv0RdLiB2iYP9pKYcnhrg4pNJpAx+lmwpCd6C9BYpz9+HglnDKVVM7DFq/QYXNVgKczOqW0Aqb7H7ucaWHkvpdN0QXU4/iAHHX8d9I/cqa3RZtjrtBpAI/uNfiNgU9zAXqMYmHaMydHadxRsoxGY0/tuCG/Eq050o44YphmVlu3IbhpTM3QFCgXJ+9yegjr3GkB4jZaoTY2yhaXoCcOaa7tPrpvjBywwWffhKvE03z4awvXrY+NxCAKhpTx2OMWa6GEBL96os0Hh3Kgo2hZoGdeuASgoKWu9+ww8NSPCEWck7YHkzHEQAY/1rcT1Ak/OuWjuyun21+M0KF7GCqCpIa5CRtO+b0SrWYl9hhcYS0f6zxCTDYYVbdGu+3DtG7fHz6FcxtFo5wUPZNcpxgA2h9pvqniqwGok9GdP3VoNMuBq77PIcCsrZIQEpgBvvC2C3qhiddYAli0CdFD5133Jp9YAmXHtfzy2OSktpMfWjMHjV0ZH47cejeaTU4/zKZ9bZ8aizsp4fHPb9zIddZAE9G4wxRz9TglmAxf0uOffMrocmptJGG0brFJZ0+vK4wUM1pmOdYJzdUiDBACjQAGZrBwDdPS9/8ksQNDyLcGuRvyr5wEqWQZ6tzp81yyouPv0mZmlfYMl1fvNfNB79iSzU+Oplb0NhE+PcWhb2VCbZ++b7AX6b1y7fvS0dwx4Ha3sK6wssPdbp5V0zhnYeFZ2ud9v3D19F0iyBnPw0NU+UHobaL/ZxQbCC+YFoOg/9HuK7u9z2WQl17vfxusxQfhwv1eC+jM/8zPv5jU6OVCKzaC7GizdwUvbW8k2exycUlQ6FFhUBi+A5dT2ZqKmB4zdVga8h5dgDrQo3ioG21ptHj/7sz/7xkfo5YAm+hWdBSAA5suvG28PTFrzCED3Xl97JNL63brvtTFs/IJutmJsbrb7bE4bIxkbz+17uoielRUix3QA+7P+BBrWn2zaHk+5vcS/+qu/+k5nzdZufLZVwB4cUcC91SiqrxYI2bXj8znenCr2s+ewCD6sCWY2szq93hP8YbrJvUD3lc9izo3LPv9iJ7pxNGCHOF5r+93WxthtzWjwRTCvupNuhivvXs8Gxoy3wfkmLpxJIMDd51gLJtRukJXdl+64QdkGn+k7OKj8DPt1ze9j62pnapv5H12Tu0bNYFv3Or/FVWQNneFb1Zc91O6/f2gzBBLQi16pg9tEVvdSdwybU09Q9x1eN2Zl7NabTS4+F+ghK55P3keyNeMrCHN9oo/8ObWERkOgltDUg3fNja4rv/F4gkbyTYbSoBAWOWuZwWUwzFJH+mY964B3/M2OAOVOEPVs0hnuWzpSx1b5QJX/LQNoNKJZpOvkas3OtHSqZdgtiW5QoaVoDCXDCjxujI7nd6CDjJHypUZ8eriNjFuZkUIu7VtGQgERWjQiOLIlDocazRmrCcH+56w4ZbBHy/fwLUEGmeb1zTA2k3ZLeKwBhSoiRtk1i1HBV1paB8Lps4In5twgQLP/3UvZgIzyXLQ130b1ZfOAQoq2wZpGxFrGV7ml8CrDjFjlqhlefXBqZYnohWaies+2OvwUuKBAo4aCIh5RRDGv7Xf+bxAGzbs/1fxlPSp7T7rFepNVhhbwquNFR5IXQI3RB/b12S0S1pmTCfStOVCqmZwCuUY3O4cCiTZrwVA2S1td4rdP0V2gGbjsvnnR/vJW39eo04nWEhApGG/VSp3huwfTWjQLZ/wAKfBFJsunzbJxso21uhcPAx0N4Al43AzW5bMno/0qAj7+GA8M2K9UdMB5GbdmITan7rNqJHxjapaZfm4lDTnutgqNvQHk7Alns61f92T1oK5WalljgYTpcif5CkAZf/ebl34yKWjWQMGlZ4Nt/m92lr64lWJAqvUXuMSDrYRZf4ICoxE+q4w3Qy8oss/nAJEdj965MsKmCVZyfOEkZYECLuRzdlMglKyj6+7rALzKOT4q/YzHPei66bbL5wXtsMOeibsA8dZ3jv942T27daAB4f1dNtX7BQhgD0kM46iTBBds3C2lBNB3/W//9m+/O5+kBzIJRrlP957a/1ybrdph67c5Wk9BTMFpBym11JpzWbkk/6sQE3Taa3QjL3iqzXrXORWopC9bDTI+wkubYx2k6vFdg2+rX1QruBf9Yr2tKeey+LxO5Bo7DdMIOnDK8BNcxeFmT3b9+NxjmDhSfj+82Oe3W7cGqsu79q8KVKLbdVLX58a09a6eNKfOcevSisJWIlQP4/3aX/p849qYBKB2vf3qfyK4EBZu1hO/qEAgU63aq20yFzYBDdg6wS8BNltZVKPVVyObEg/1i2Cdyyd1dv9PcWobTQX+rzFpNMtrBBjjcY48R4zhIIiEyYEBU4KNQBUM+KwlCo2wu+Y6uxaSQhQVWlR7CmgMO4U6ZpgC7uN/GvHCRHsxyk23F9TXqcXojWI9ObVrBIDwm8uNkOrbgREc8tF8kZL93dh2CuCyCfteRnJKdN97JiJ6MGhlYsJ5AVqDCmu37IGh6LPq8MhoMWCzqPTWfmNZVHV9T8GsTGglUvhm4+ecczCceFgBt9bog3cZ3duMGVhrRG/3EdlvWS/DMLoB2DI062fjZQjMXblI9wdW8bdUR8UCp7aPX8D7zR7V6b4VCCLcBeotDe7BH40qKnch2wWbLQ1y/x4mZqxPDlZlEo3oAAagwG109aw6+ojCV4XQ5+8y6pwUkV5gqJmgGxh4cmo3B1k01Rx1avEaUCtbJ/tjbDUOvjfnnhy5EzZFR+fEANCCABxAeqwZQPq0oJW8NusmO3f1KP3WUvA6KBwt+l3WtFF2a1OHozqwjsJ+L7joTAB8zMGyXg2UVQdVt3ausnDus1cdDP0MeG8OHltSADD9Tqf3ZX7sA31UsG/N6nzdih/y0OCCOU8frnz13/ybf/Pu2dkD0Wsb18Yw/lgAWAa/2070C/RZ74KaOtJKXZvpAVxGH1mkZlhUBtwSRY6CwEydkf12oPM7v/M738pEZ5s2B2OZrFtLNpKc1pm5gKz6HD810IV/9uoJ5HhHsAINzYe+73rvWqWrwDDc0OoqOElgTFXU1hG9a6voHRUz62NrLyizpgqk2e7uhx3f+EzWzbg3jx48w4mbPipv4scCU/p4fHCDlBwNNNt99kzcHdo0G//93//9b1lStGY/zV2VgJNlVaotmAPwOznYq/zdzJ4gonvsGrpqtJM0YQfZYvZ41+IDlUYOcGTrVX9I1jiBHZbiWA2fyGLDFvailsb7O8y7zxe8GoYb7fxGwL9NgAPvkmM6CG2t8fqQqd0YRoONDy4U4OaUb1yb4/CxoF+DnA2abc7NUlef4eM6KwJqxld9Rd/SGwIOHCIyQB+O1rA7GZ4NHf0Et+ETJ4fXJrGZ7M9TwFobrTamYdM6gvqrDoKf8VbtF2zMrnLq2ZY+cQX26t7cje3/+WHwezQTVL0+0camsoddMy/2yNrQEf6v3AmKrY3X+zuVVCpi2OoGnWEzGeUGE5qxNaaP7ZE+jdQVoHYRLdAEZsrXXrk6mQBcy+kITe8xYtmT41S5Ok51+jCACOVT7T4ACoTKbhnD3u8eM6z7OyU0BTxhGVNxsmU+lUAA5e4l0zuhmKIQ+ccMxkXx7Pd+U0Fo5NxvAM0eSoAWozdFPYGWndz9gcY1851Abn4yn3/xL/7Fd6czLoppbwHaUTCOVacwZXmeSs4pRRkqke/RV6S9jsJf+At/4e07h1nYO7O2MYr8izjvPoC+KPmc89F94BTYbJnI7jWa3EyO9/gQj1JySnlkk6rsmrUdXTaG0YbCl3FGL3vPOMnKahiB3W/XUDwMX7PHgAglaNyN9gkEcTCeIpMth1srr4ii7bcDnZxk5Z/Wz0EGfm8MN/L2VOIrE77GUeTMiG7KYOy+AznNPO8UT4d+jO/3G3tyW768Pp3ECSiJXhojw0IujX9NlHr9ePQEwMAgGrNofMEfhxZPOfCiz2sm/+4/I/3jP/7jb0Z5/PxzP/dzb7p1cgqkq5yocejeFVHbG/EczQdQPErD7/G20j0BslaglA9Gc4CxDotHugAl6ASwNNDBMHNg8OtkgNwKxCjzVM53eUz/dDs+AVLqgBurkkY6GABhdGVn1pRPKsVqdog+2PcCo092tMCzmWCyCqwZ62zQP//n//zNMRiA2iNnBC1nJ3fgz2gl6IPnbVdAx5Z10UXVYc3M7rMeTMgJ23tAfTQtOLpBKI7KxjqZY5vx42zWxmuf5/hxzs6P/MiPvNnhvaxZ979ZDzTDWw0GaguM7nfWuA6XIO3uvbEA7YLUu2bBAeB29khQbX1yLEf/OSFb7123uaJFt2PQKRujQMTGTYZ3r4FvjqdgxmRsaw1n4Pfq+c1zYxvvTe5kBTkCgp6qsDaGzbWZEpnXBU92r5Y8l9/xBcfqlqqz97v/+pvOGp/u1OW9NvedMD0ndbSv47S5CF6PznCgrVIOJBvt6jizjQJ1Khz2W2X6aMPG1Kbtr72wW2d8ig76Jlt9ygUa90BA5eZbPw4feYCfbLFAe4Gj3Wv8NJ0/G/DTP/3TH3zbt33bG3/ss3/yT/7Jm7PbBk/tHraMCOpab3ymukwyYeMYLYZbxhPjN0Guf/Wv/tU7vNqKuOEx/XXbjApH22zqYLektFU7dCN9t4Yf6CEv49p9ticcv4xP9iiqjWv7pVUnCoxMrlQn0gej7WyrcndrwCFrlYl7t41W9D08Zo51XluaDa9tbMpw9/94tEkWjmYDej0kEN6AUz/5yU++s5njEcHGYvHuE2eX2chbwSJYJvE4Xb/xLui4fkff6er1PR6fz+BRZuNTdnJ9Cp4I7DVZtvtba/xlfIIBH9tBUTUeGFX0H2EYiTHRBFoJ5pwnNdaikxS+zIworMwbpa5MAgBtFsKYmjFqCRoDoOQT0+1zC9x0/02FDwSv7f6YwXgxLCcBo4qYARyMG6PS0j7RKEr6MjVai5yX7reEaow1ZTwDMmMxpThGn9ByJvcb+1Xda7RxQiBQKBv5xigflgQbByVOAQGG+jNuNGmJBRoq29gaeJahQIADA/Z341pfU1rXGbe3d5/PMFKGeHL3HyhC4/UDLFCo6PjUCqT1waBSAvt+PMO5s+9F1p5Tw8HmFOFdiq+04UQBcAAvvuMI4J8bcGqmrkq21QWAYZ0MBrUZbIbdHlLydcvwZIIpLMpJhLbRWmuh3dOkrV8zuHitpcLWU8beycl0BJlrdmf3Hi9TsHRMHQy0vGVtHAQHZzSwZg1a8iVYcMt3yBX6CNDUgbAXjTzuPpMNPD/j0YqNVtA0gCD4JQCk+a3AivWqPgHCACDZhTa0rfNeI2xvbPWlTGurEtpfG9nECwwempIpPA4UAyLoL1NFv8vWA6Dka2s7nQPMN6B4HfNG9ssLjLNsfnmymaW+rJuSOjpWcHgHFwFj4wFBLPvu8BU53X0HbjzbcrQQWPV4vPLoGkBsnM1k0hHouu9Vmsg6KokVpAGixmMqVIDC3Uf56eR3/W4dN67ZrvXrIKU6XGhdO9N1wCtt7FCzHwV5sq4Cl+bYEjnrNxo68VS2br+bft+6CHbAFN0KU7svm9ItMaPTaDFQTu7XD8d09Jp915fH7xiv+5kfx3kO9xze/WbzHc90HJXDjb8VKGSnzlx5ZN89PerEOQdzYCUm2JcGVdgSQTMOs0BaK1jW4AM2hiPH4W7Aw/oph/QZmyYo2JJe1Se1qXgGL7D9Dc4YB9AOSzUArVLo4kV0bNAABt6r5zDsc9jyVpmp+to82OHKSPUUezeesxYwqBe8Pr4m+9ONe43flZCrqivuEAwovejw/i1mMfb6ANbQc+ybRbVlwRYfWcTRZvukW/E0uRLoURbOSfe4nBt8atBVxv9majmZfAz7w9nRa884ocqFJ+sC4/uNsZExfAZz7FqlvejazPaf+PAaCYzOQX9OAkf3VsAWmw5jWENO7WjuAFqP9pqMjlec0bB12z0WRMBfG5fAGlt8z8DB7y2bZsM/tvJjhK+zaNFaGuCUQNE9Qq6sV7nJfkNwLkjkePZwle4na/nCzR4bo0WnXFqX7h41TpgcUBMV3MJMiB1ks3mKrjC0jCQlTQnaR9wohDEUmGHCG5WgkJqarxFqVoFTO0Uzw7sSH8pn60E4lR2NYaYUPFMPYN1aOe2XYDJc7k8pE9Bm94y5Ua6CblE2AH4Kp8ECSn003ney4sqKnE44hYBHNneBks2NgN39Qg0coOsthyX8QLo1rpFaAzy7ZsaP3wQ0rDXghGesHzrjX2vVCgf0ce+CzwYVWrUAdDL4+pQhaPbave0Rst6UjkzePleSTW5E/xlv/FxHtmUwbX2guMBTI7lohI9qcJTUycxWL7wpuQ+duzp6nHTgANi1bo3+l2c5tHXurUWdnsp0132fyfIzVubP+eFIM349hGr9KHeii9C1vOuexmHcpUuBtazyzUjibbqX7AjOoWdpUYeWk2iPIfo0I0kf0hm1A/qx1mjQe8ugMcbklm5pANAc2RYHV+AzDrhnZTaoULrVOcU3aN954bOuzbWn3hfkGc/mML22gN6i4HRf93oNYOwadAOs9vIdp4F8GBdZM35Rcxl6Mke/KNFWSqYPwQYOq0wQ24BPORHWZ1hheny4QNZi1y0gvvnunluLBWWtRTFH9filX5u5NLDarDIngD5RotrAsfUj/7teVQ47JevpADP6s1U1+mrVCr7yxIL1I9i+sW1MsNSCt5wf6wePta9mY7oHc9fNJjbIVxAvIMJu0ltAveqMnl2x8d79nfZbD3s4U6ByTY+zX7Ke+16Wt8EUMuvArAZkGoTAy2Rff2x07cDWRWLjJizo3DqF3uN//eCNjhVWoVMETdgiOpCDAlPVxtPRSslLw653bR3bJZgJo9RBJ0ucCvgcn+Jp6zPnRCaeUzNeHbZEF9k8+lbl1O5HL9Sm4zf4wZo1YwgnkQO2lRx6OskavLH/N5bpTOPYXJaB3pjZG9Wj7D0aNTjaQMZ1TjXZRvqNrTO3Yhm6yDxV0CiJVq1A7zTQT+fQzQ3w4flvCs6gW+ojGYMKQjao9rjnDtAXeJ3ug1fW/zD4EkecXMFJTi2sjPcrI3CJwLrACr419le0/8ge6bPWyAsAXIeWg4GBDHzKb0RYUxrASTCpCt/S3LKdLUNsxkkTreBMMcQUVSNqBK9ZjmZdRfEph/UpY9u9Xc3kNPJGUdVx7riadZD5A5RlGy0mpS1z0EiW62dARqNFY0VDpnA80HyCMwd33y8KznFXfjTQoLRX5mJjsoejQJDyp4SBl10ji9YsXtfzBi0ATacnbj4DmvZ2rtwGIGtQY9ftOxEnGU8HbGxOa6PFSvWUgDdbiHfMq42Ai+RTTpSVx1LsnqJXDicCPgAkYKLH/jf7I4Pe01YvmNj3AkINbDCksmndk0TBC7IAHcYgo9AMrzVqhmaN4cOTey+z/6ZIUvK577ufCa2rqK+jMPqtoQUe6r6PBpxkDRktjuqUq3V2T+NTkrN7mfcFJvZMcthHUwZ/vxsfMaT2+gOVNVzAoUdBcQhsP2Co6Ue06TNr1/b95BZAUJ6o0sFJj/inmXFO1e6jbK1OrbUCbICCgrNmNhqUo/fXRMY5t8DWrqVXOHYNitHNxiwqP5qRL7xYZ8B4rAF+bKmVgBY+q1yhjz3Eu1ZZY09Nr1EtIC4/4x+0YH/Wl/K/ZmpfRZwL9AQqt9aLlA+cTSeOjlvH3W/0/sVf/MW33ywL52Rj8+/pmCvD42QZsyBl93Qav2yVveB1BgU5u8bAOrs53lUNs3WxhxB9nTlg/RtUWYCVHVmGeqWBnEJlegAvGqEf2jW4qu2e5d06vftclrVZIf02CL62MYyvnd4raOSRMWwEcEZ343O6rRmf/UapvoqyOlT7uz6UGI82u2Z8isdUP5QeDViMT9CGTegeavyuZJWd972Asf4BUlurnOKrKRd2gM74b33tf5kee4MFTtj3yuKubdCYbuZc3myqV0G/KruC/QL+Vus0yypoL9ijz5aVrtWGtnSygeNbJSBwaQvE+nVmx8a2/kef/V0p8D4bdhtdxwvLgO/6lduWj+BEzrTKAll2W4LYzNpOTsX+Kt+1zcVcBTzodHZtMrSxCrqt3+kdOKprhN+6VuxDkx6c5o2hVWB0DN9DtdZnPvOZd7ymEksmUIJnzZYYB4jtt4KjHZsxtfLiNjy2NZkOUdHYpJMqNpitTy7Y2PYbwWoBILSjG9hgtqXne+x/gcz/LVsSGxAmM+xlndryb+2oSs+NpduCJOnWRtPJ8P7S+WiyeQlC3G04gj5b5829QT90a0Xlx+LUVgE0uoIJCtTXOLKEy162Xbv3nnlFEBlGdeui9i3XLeC6C9ZysKbjAZGNhzGhoMylEcQ6nTe7QGHVWb3RX+U5aCS7UYMCTDJ8jLrFvAJTZSDqSlhalo1ZR+ftjxidgaCtBUYSPd/1IvstqTWWOgdAboMH3eiOBjWuAJKIHcWx9w6oAFYuHUXjvu/7vu+dc1nlyAkElO1b2Hj6nETgbL+dgeSINIpdEGSseMmLIBaw7HcMgX3W3TNBCYm2l2cpk0YhqwxbJqUs25y7JsZcGjG+HD8GjbNk/c1LgIIcCwThV3zQ0uHSpRlL2c5b6mzMLZnRGHIOCIeywSAAWlSUEwWIykAwxgwJRT7lPIfJgUrds1u9xbFDFwePCRJxBGoI/L6Ge/1zpAUd9l5ElmG2ThxQa8W4D2w0aCBS6jC1ZtFa0qNMSRkzWby6pUG/Zt9lrpR64X08WidK0E+gEgDZZwwbHnePRvVlgTcOp1S2pBh90YSDYi+2sRZIKCO9ZdmtGACu68R6Ab0MeQM01rgBUnPCB7J9Aj9aAx812H5nu47slVLQATaP9bkglR01xtJt9AfOrbFg5M0KuC+HsRUgrSqp/m11iMef4TcOr/I6AUCtOnjj2G/NYwFVa+fRLwLTldsbTLq6Zc1hZpN/oL4VF9UtaOPAM/fA06062xjJRYEifOCvAILPZCJnlwRvWlZfncLetvJhzs3msfdzbqxdncK7dujTrQXmS/e7f20UPmKXRwdAnG1qAKh2VEWeNVv/c9RUnyxoIxC9hscEK+kYpcM3a9rKHYkRWLJOq8PM6LKb4aUbrbOgrD31rTSr7jdvGeU6CQ3GNpuG79k1wSC0rk1bAMAZJ04mpqtnzy6f01se/efenEzySuZhA3qHnh69BNBHL/Snv1sts75l67eWdIwAFmz4FGzC41c/4nUlzA1Q0z37XhZ+895nc1z3uQRIg1KzKzCNbH9L9umhBkms5X6jmq1VUeixzxboIhOSY3QGnoa52SFBBzxg+4Ktf2iMX+lneBMe3v98rT/+oQzXp7nZ8VYrlG9dQxZ7Jkl9E3KBT2H4fT+66ouDDbcUs651a1SxxMXcH5tT25sUwFGADFOzYbIa+9syUEzLealR7SQ4lZRYGaqK1N8r5JinzksNRZWOKC8lts8xZw0XxWP8rkcj5UvmIupaxYleDF0ZsUatDNiobTNZ+lQmzaGYkDkMQYDA93VeWr9OqTOy3Rdhfoz+dcpaytCxUmaNsBeY1NFGb/QUheo+hDaGA+gn6CL6DB7FSjirOAvMXvH9jQbL7MlYUDzWu/vQgIbydY1egyrNJrVMVtanmduOAd3xWKPUgiDNEhTkXIV3HUWfV+F1LgX4DSLV6enrOoNrMnWUv7UXGGgJjzH1/pyN0Wd8L2NOwe56me7R45bSmisHuLTjmHkuckuLqnyvIq4yB2aB8joXxkdPtJpj95rMNoLZoEYdYY4/HduKABUkMlDG2EBFMwsAV+W5Mlu+3197mlsWu+8AyOpPkdsGPJqxc5jTBabV6bUxDYT0PgUozXqVd40NTWsbGtBsprcGttHwywfmiAcrq7WblaHaJUEMB20o9yrAsPeq1Uv4k5ODRsqK2ZLyfgMH5esb3Gvg8dpnssMOld4t7e3+eY8DIv/2+jpAradpc7KrN/FQ5QjPtnE8St/uH6R7yJ51Zlc4H6Uxeb00pNvRGmjDk/Tbrpuz3oxLdW3XQ//FHXs5iOmWme4FHzSw7DuBTzxcnGFN0ar8bg33Fz/ueuvS1sPCAPmNtQf+GUerZchzExp0WMtEG5Cl+wXCzGOtyQQlx+ZY+9ysEH5cRrznalw7WbrAJqUDvXmDBLWv6Kf/BjbsFRXcahZORv3y+fqonSKTtes+t18XJsD/AsJ0tRJber/6wFoVTzUoLkjXwNiTo9K5WKtiCHqMbTRXQSpBMfzNWTdXmLD0ufd88m2un1F8TgdurBzlJgiMH65tMJ59bFDUuPBW/Sm6AP/r2+9aHfeJhwMh/S3eI/P93FpUHnq9MVT2qjfoB/qzSUn2XH/FKehKFi9PfCxObfcnlSEx+l4ixwYtu7G/LYVkYOr0iCbLcnZhKSIAsURuK8EI242OGHMBvQyi6MSt7ddPHeCCAwuNEdCoEdtG7tCvAK3MpwF8sqjAieiJklbCYL/y3juYq8wvE9Jo+e7Zsl5MubbfezTBWoWLIqRAzK3G82Zq63xwjtfH+IMD3X2sjVahvz6uoa5jTBFtrOM/hqGOc4WuSsD6FvSJ0lUY/YYiESxgJPBzgxkFhQXC5ek6GU7YZSy6JxBPkBXjoczxNUdFttgJjdazIAu/ljf8bZCgsldn/Ck48tRu8InTToZ91jIbfLn3c6IGOGQB0G33cxqiUrmO1Vz3GYer9/CSfV+WdPdS4ld5r4NXJ7cGR6YOqKAryTU9SPZqRPXBKbjl6PgDT5Fh6yqiPn5wvsFKWasrq9tkQPElmWowQ1mUky7xi6Bls0Bda0Gq0r9OrQy4Uk58KwhQp9TvW95Ohu/9Gefq9lbn4F96GKDBM3QVsFIweuehNQODvv2uNqT3J6Ndn+lFY+teP2WfsrQymQV+wCkdjf5kqA75DfaiqwCtazp3gdLuS3WNyhvzpdsrG3S9+Tmpt/rIgUEc95a507mtFNqYa6+08ReHaLzLwRIwaFAOH8EaDeLKbFl3cgvsVa8JVvc+AlH41baqBtH1Wce8dodM2G99s+FktYFgNGKL0BM4pdcLOouBrKH5sU9rrSxp27rN7trSwV41SwoHsOv2wa/BbLWV1rB2s4EJOpTOtCXOmGW6jaFBgDozu+90/zKkHPDhps4RD65Pdp7+6d/qQjx2nY9rD8lpz3tQAcFJslexjU2pc197bu74waGWDmAUCCtGocfqVHFUVS0IStrist+quCQzzdaio3nfoCNeLEYbnes7kIva3I1hJbN4Hs80eMGfaCUFPsbLdeBlrxssamMvPKmitgFOUzK99XSY5b5nV0prdvCp0ansNN2jGvb/9qFuuc75dQ6rm1udURxcWaATi2F7blDXyftiQv3WJ3JN7UHvXTtzdctH+kgfxhqzNkuFOUZYwsiYKaUyeIPGJI2WUawinK63Obn7Wy7oXiuYwMTGWsNcBYj5epovYOB5rV0kwLRZjAoahQx81lh2Ecs4rzJY9nitUdL2kjktUdlNj2hnAAuWCyCsASNt3FVgLZN5Up6NnorUG6cSEEqlmZpmRtY2ZidBMlKcwmY9jN98gA7G0pwqMARxYwGQrBlno4rqAmg0AhrWCnqVIJdvOeYUOyXSUrBGkuv0dx8Tg9HsMmXm5DmOHfBaIHKdo41zhsfjZeqwVLHcyF2dWvO/Tlj5/Cnyh6eeorQcmOsE9xFYjRIC5VvP8by1qGNA/s2rJVRowYlaq7OjLGiBoYKlW7Zn7Vq+iNe97HfZOBm3gle/M0580Cg1/Vrnqt/vN/fkSPK0+zmhcgfwlIcri9Vx+KL8wQGR4RaIxBPkpcEmdK2B9TIfmb0CKOPA+w0YArK3ZM9BWICZtRG5V61QB06rvNQo17FtRvZG8CsftTFkVrsR8NKN/AIGDS7op9nG8ZQDmfD+Pl+wxz5F2Rh83ui4rRh+R1eaczMwvus6VCfvOo6f/ugDASbj7oFePeegexkBYOWPTidmT2SBOEFXV/dcirWVanJ0OXaTByWW5lebSCY3Jo8SNO8GDRpAbYURW4dfrTcnC4BlTzcGZbJrAlLlHUBbJtsjnayxU1ybEKitaqCv26fIQm0su9nfX+Bb3NbP1zyvda/RT6CtGThrTH5bMn0Bdm27ObRk2/hqO1am7bml9uhKINzAJP4mewuEzLFdifT6Wak5m4FH4WFrTfZLV+NuwKp6p3a3QbXayAv4y2dtzvYo1sJn9JOnBExePb+YrNLp8MiTDW+Fzs3WXx4oDm8fdFr5iFzWsX1yZuBMtKVb8BP60H91kMq/+KW6TqClwWE25FWQfhhkY+he72IaZbmCow0QkoUne9CgSAP3rbaB0a3h/3jxLF30pptrn2vLun67XvUUOtvedn0k9+gjMIsp9C05I2jo/nednzDix3ZQlMFfBsMU/uf0FPg79KURyUZnCiREwGoMOG7NrNWLb3+I1XKhAjbM4F4cKZFpoEgZcfu/ZXkWoUavWYRmainr6yxg9KeInSgsgGANADxO7d5zJCnrAtaCSobBepkTRbh2FduNQpXe6GJdKzhdkzpYBfE3stSMVEFUQXx58PJlAxkFHKOjU0AZpNJVfze40Ch8HTf/W8vKQ5V9eYYRpSB9R26uEiiP4NfKQDOMXeNLp0bI0LdK80mxXtDe/gty8FTvXTqSufvS6oBXNmpEyMg+d7BaM993roxcDUL7pQushbECsg5Cqc7w+6sP7nedl71ByiuN5TrI1+F7ChDU+HB+r7NlPiLEAM49ibfr2jW1lvj3BhBFimUBq5OaoTCnOwcvmTm0Kf39pu8bdX7S9Q02OgmbE3azBQWb13E0zxv07Djw15WJryeq/HRdnUpB0GsTKi/ovtaMHFlvRg0duu+6ARX3K6/RweZ1M8nN6JCT6/DWAcA/+msArzpDf7UbDZZUBhqkuHZKkym1/05wjBNZx9ScbkDJ9+SugYB734s76I+N34FKDWTW5rIXzeBcnrXPcc7JnluMlgClVnqyS3iG/m/pa4E+WtTuVAZq+y8g7r2djVAboW+87HPA3Ji8bB1r8K/47tovfdlLzeYJCqLBtfXoznle0IPzJ3hAh9cxqzxem3Jl7Orwa7uuziw9fdZsZ9vdduX64oVm5ooZzP8JQ9Q+kOtinGsTO95XvNHf0A/lCffGf2h4qxj83n2LL66NbZ993/Wb7WiVXm1L7aHmXAvVntVv1aFozilsAOTaketk3kRYeau28n+82GZTeby289rlNrK51qx1n0ffpOSdg3lfXep1AwVP2Pvps4/0oCiCoN0yK2UCnjPaUow6PAhmoVpy2RLVgow6tVWsNYZl7oL4lqhhiJb0rRljF0vEt2W/GqNU0IzBOJleVeSN4D1FP8tYdWplUEUdlVE4DhyId4+b5SyouwrPmhBcTmBPO6QsK4Q1bCLXdXDLlAwFJq6yYGzrtHBoG13W35p+rEEZn/IjkMYp8uTQpCov7TriaIGvGhG+DmH38nGi717hlpvpg+zgxXv/gikZLnRGoxtgMcabWREx90gbMlS5aRasxvo6ude5r6K9io7MVLG+AvSdw5NSc3AWPuw+qxrfypisCN3SjJHqD/MSUOsBDU/Ohc8b4b9GD609Cxrdm8W/zsJV9KVRx9lIL13sNx4vsPsrob7g6f4teGn1QcdBjnYdA43PmrmtTNDp5ZtlFcgj3sCLTzxG/+D36pWndeW07O8+L62fMgflFf25Z+3QXYdXBrdBj64tZ7D9+K7ZUtdd5722hI528rsIep+1jjfW+kiqrQnd2n18lec6ZfvfWvu/eqLVSfb9WhMyAsxd288m00c3eyoz71VnGG221gVRVwbHF7br0JuTwWZG1wqeYYgGtjiEtVvmYV4+Rxs2oCf0sz1shjU1xzuX6vvpEYdN/cIv/MLb96t2UBJ4Ha418+HM4i2OcAM1AiP+dk7FcH1/ac7WA/3sT+dZOa/D0JJRWf/qH7+7erK6Yv1tvVdCvEMzBdAazL2O7Q2QqoZattYJ2sv6F3NUB9QeXnm6TkSvrTPw5Exqd32egjebn8cU0XMNhNdBM/86lcU5dGL5vXL+FFB4om1tCHoZO6wkGfMUYIGpNOt0Hdm737q/ucGd8k718daYDKpIdS9PPGhb0GQ8MhvLtnTt6UC6lI6jC4uJ6rzWGa79NF7zrD37bwmKlR8b+Htyap+a6/Aj3Kk/fpJtfTeQXZ3iPbtT2+Red1wdR23ox5Kp7SBumVwzS2uYo/XXa2XaEqGZqvYjWtfM29MCVFgKTsoohKqLpUSgRkU5RJVPF81+0H1WI7b/RXYbpaCMjNVepes0lE4YiWHd97IaHOkaP85OSy+0MrpyFKDzKt6nSE7L+dYoIQYHTa219TLG0o4xdV0f5dR9F51jgwY1kMZ7nYlr1N1T1HZ9EsyWq9U5QJOuW/cfN0vWuRWMcWb9Bp9V0TVQc/ebdw6Mymhmf2PLTgsWzbkKocq2pwu61jU3Ul4QdiPOBRc3A8aIyuqhb0HNleHqlPbXaD+nyn41/ZPHrkUrQMxP0OQa567fVbilYWWaYbKG5tixOsjBHib3VFnRfYD6bcSZLpF5rU4srzWotfss0/Bd3/Vdb0AMCNbwbfeZNggm+FGd5nvrRCcoKepepgvU1loxMxCAV7t2gnf+bwmlKHGfadngjRdHuo9/ILvmI7pefVvaN+BVh/jyf2W1PFMn5PJ5dWv1hxM5XVfaldfsiayD6FEa5I7eojccwsXBq2zYZ1d9Sjf3NFHrY97WHQ/oi+1EA7zr0VTlk9K9oK7rW74sGDK36uinE6eVva40G0AWiKpjZ94OdmJDBUoaDOn8C5hvgJpzWLtsbkqJu4dOQLr3q3OyuW09PP5o5bXLJP7qr/7q25MCyA79ib4N8lanyuRXZ15MQnfeskW2oQdPaU6/XSb5B37gB74iQEb/dzz+tyYNGHYsxX8CFB0T0Lz7TueN52FTh5RVBq8TVUxGh26f5mjs8V+e84tWT6C8cnvH7Z5t14G9/9PJgjGtbtGcwTE+vximen1BkdFjjwpynzpO1rzVFrXLte3WFe/UBlWHPjnpa/CXJEPlpzbJ/QVbdz2+q80o/mi7QZfq+WIBeg4dii1un2vjB9sZJLPKU9Wxa/wNzuANeqLp3W9bnGbbBZvT4MT/J9nTi/9bRdVA7vVv8Exf6GQufVKCNW9A+/K+udXZvX7b07q55mN3am8kpRGFgkiTbYazC+SviV7HxYREPwqkO+FLiBLzOs/tt2DL5wVrDJ8XJSaKjtGBo0ZcKsBVak/G5AkArtVpMt7SodmPOhfWo0q0TmBLxbx/lW250Z47lpZZVeHJgjcSXx7QCtzR4hqX0tH80e8JJJYnqmzdy7VPNC/vlccu0K0DeQMqfnfHXIekwZunwEb5lPKpI11HoEa9BxBZ0zqZ5ZvKRhVHQVaVFlB2adcxX0e0CrTrfZ3t22/BbAFEQToDUMesWVN6A+3cy2973xrmrvN1+J4UMKXf+5qr7KGsrwCVKgtRaga6dNJv1xaNrYX7l4cF45ql9Vn5fO2CkPs9PgEc0ABo5hzRl338RnnKeGTAW0XRCPv7HEKf3z1l9NZTcLR7gLVml8oDdagAjsr7ldsL0C6v++x+31Y9ce3EfdWBKphsP5dfe/IpfewezcLqo5+vjZaqflqdRA6fdGpLnjvPaxv157sG566N0H9p3wBT9UWDzH7HgezWnP1m/zs4r3igOuOCtK5xwfLliVdZMGPvHtOu6Ss77Dd93jW9szkso9jnD1+c9ORINdBZu9f1Kz6orbE2T06awEmfu8mulOfLG+RagIJuLN+3XRBdZ8xjjzzW8AZLOXmtkum2Dw4Wx1YQfs5tkwJPsl4+qFNw8cbFhw0qXF53L7xx6d3xO3Pl8k6rC9bXqmUuzmlrIORJV3Zbxl50ZvXtxTdXRtiNpyof313n2QGGAua12a+CC9rVo/RVMbMKH5naG5Boc1L0aN5AWNeeQ9c16Jw7puqG+jtkzzZO/RcrrRVz4fPa0/o0F1+ste+2J4y89pT17/Wurd6/cv+qPfHLx+bUltg341HQUiG8RuDJUbup/S5GnYO2J0eiyroKoiBAGS4l4npO7e55x/PkGKyJ5BrznaPry2j2iVTBX+NQR+ECsacFN58nUNASHlklSvsVWG/fVTjNRNVxLVja+z5ipOvULByAXp4pUDGfCnCza2voaD51YAVXrpF5xUNPdG0pVO9VRYg+19lBpzqkvWeVWUFTefI6tXjiOtOUpuj2XVPKp/xiTFVKeMJ99jvBqSt/NcxXBslZx1qFW354ku0q6xr5Oi97tVyN0m9GBO28f+LZgpm7D7prac2ewOsFIHtxans6qWgtfgfeyl+VjdIJTRmny3vem6dn59lPePme8a4zdHUAHi6f4vsCENnme4iE6/tcbvMogK+uu8EFNO7a1KntNgXVJ7I2dL15uQ9eaoCDo+M6EerKPD4sXzwBqgsUzemuQ2WpsnjXo2tbeXgKhhhvDwvsoXMFGtUVdKY5dT8pm+h/Ti3e7xzQvXuuaxt2jwK0jtvYqlvLd9b5vkqfy+f7bM6gjBC7YJ9r79mDwbrWlQf0ebJTVy9Uxvobe33pbeuza1rdVqzlQK1+tpLmOY17rmll4DqeT87nBZ/G/cRLxSHdKvPUyODozbF90iH66P7HbluDHe/Yn3BK12VlxxuDk69bNUZ3csxu0MGYrMv0ltPGl5mbTi1eubx2/6/jcPmpn1enVh9Vz1f336YKBl9Z/2L0ysZoc52g6l+4pcHh4pBW6bFj1q7OzZWf0qYls/2N7+jnyjmHj/5qdV+r6qpn62wWQ5hHq7nQeX327IGn9bUeMrpXbxeD0KXdPlaa96Csu/1SBvbyVnl/zT0vDjWn+j3VrU/t6p+uZWW42I8cf7XgmXbx+P3t19v+p53aDqaGHqMBm9oI12xKncWbgSoz1BlxXbO5r8aFiN3zUuPc7zhYZXKfdZxlln13HzJ8DULn3rmWbp3r++iMDhdIGWMZ35juoySqMKowW7qxdqNSBasdc6OYU/oATn+v5IdR12psAZv9RkarEevyV4WmSq0gjVNb5dKyKYboKaqIPh0nYKu/ApOCmAtg60zdcfa+Bbn9fY0/3hEVc621uNly2amWeD01yr10ebq3DGGNWMsH0bM80xL+OikF4E9zrYPQcdbRBkqNu2Vo5HrzqrPkEQgXtF5g0nHUGerYajCf1qwyt3sBRAN2LRsqjygnqyFccz2ea4CwFSW2MxQINZgGDHSs+3xjcmq6NVLiyqDTmXUUHQwISLjvNajm5+Rtsm1PcfkDzWvoC3ruw+DpwLvHjMPS4AVQUcNe2XfPAqGuRe3DbQ0IVUdcXnfv2sbLc7JHT3KC1/b7OQv+Nxfj1//G2kdhlTcK4tChGXDzuaCl86PXjLljoI+6lYHdrB6vTOP5vkc3TskFV+hXueyzgUv3gXiZvwF/8jincPe0VYCurey01ZGtzNU2AJH20W69xvN7bRyr0lBBweF2+F23a6CR+zj5ef3bTtBT/OfYzon8lm/5lq+Qt6vjnvjrOlWVkVZqeDTO7rcS4waYtV2/LOlOXP/iF7/4NqdthZBla9bwBnFa8nn33l4cZEwck9Hk937v977iuo1DBlv5OZ22kl3zXik3mXJ+C724PqYnl6ldafMe8bPH7LAfXfe20rj3vQGQyn+xbh+phR/Z9ad7rY+Na+sjiNhAlHt0qwA6Vx+wUQ0I48PyI1x/dXkDOVtP1QV3+0CdYr+nv7uthd4UFLWNYjLTrQ49ab2Ys1UXHf9NTFQ/X50GN7RJ3ChLL6aufe569QwDNNh3Dqbdq5WIDeyY25PP8IcPVT34rNsq0aF6ikzedgOH14lmVy6dr19T36G48b7QqGv4Pv/of8mp7SQMspMu6K7xRNSC+X53HdqC2hqrllE9AYsbRbgL0D4rmC09vob/Cl8jHD1J9ALj69zUgFzg3ijhk5LCdJpoeZngGvU6XO57S2v0b17m0b2O1lWmzvgKbve9fQ7lE8rbc0DtwXVNHfw6eC15wSvWqWOuE36dy9IO34l0dR6NTj7xEyXpBMfrxJXmBWY1BgXCVTb6KmA0zgZ/yqfdW10eLYis8ux+dpnLp6i0/gDVZsjQiaxal0vzgteewN09luW7KirjYbS79rfhq66TOfjOuEqLHuTCYFwdZZ43imkN6yQ303vBVvsEsqcvAKSWHvkN56M6yRzq5FQXFBQCQDWMNVjlta45HlECLdO/uXk8BN6+Dlr5jAE3vgIne4TwT4196XCBXte8ztSVU32a9z3joPbJeErX8qD+GpRpprat8lTQUBkrn9+x16kr/zQY8aTnG9En13inNq526alvrfuwyAzZNSfyiRfGGx7JUyeYPm02udkKY6BnXgUJ28yLc1Ub0/e1f0/rJHjk3rWHV8fSs3WwjaE6wXd3vQr052TuVZrt98281B7ihQLT6voGN+kUa4w/BrJlGVv2+/S69yuf1C5dPfR0Xoo2fffDP/zDH3zuc597Cx6wh9/zPd/zFbrauPdZt7m4j7UsXjTGrrfTjkfnHd7TZ1zLrF5du74EWeo8C3ziqQZzN7YFDubcru1RP+W/izm1i0n73XUaGsCgR/vIMrSsLVhTNjun1h72OhO1SVffFJPV1uPNrkFlHV6pA3gdk1dyXr3venQhT/QQW7v3PeipAYK9BC0apKwPcm30xV+1+bZeGFvlveu6xoYKpjao1Qq39tFg03UqfXcDZ73/9TP+2MMWric/psmF60iWF9rP0+vSofO5Pkj50H2ubi0PFL/c81c+8kxtDUkn08jHBXolVDOGFDQCMS5Pxur2fQl6mfVecx0JhH6fg9wx3N/e310F9uRktVXwKKfep/+XZiJYrxRDx9B+nqJSV7GWkV8JPro1GFEjW0be+2Z1yrDAU8HaE8h7Ne4akIKeCodrb8bnCs6leflu1/fZv77rmlSxXkB3DVnXuEaCgWgZS/tpRcNd6/s9OWOEa8y8esjJ5fvS4gLIayC8v/xccH9pfQMJXasL4q+MlR877qvAO661W8J0ddiTfF7alL8un17j2TFw7lrG7dAy1/YE5gKKOpVdSzKED5/4u04tQ3LXuuCUY4ZGsgSu62/rRN6qh9K4B90ZR8faQBdZetLxVzfedezaANruBwg3yFSH5gZ6jLER8Scw2jn0fft70ucXZF65uwC4f8n05dvb15NT+2QbO1c0qiPTvW74Z/8DcE8B7N6PY3Hne/XirRTp3yd+6D0uf1z90O9sFerhgK8wTPu5+gGvdr69toGbZWrtK3VA2lqzY2wNWtXBuPe+fF/g638nkwvmXJ3UsT7RsN/jjVaJ9FnQT/SZPvu2b/u2d+cGbP5Kfc23tDfP2osnh6rO/1qzkAsaqDqxzgIZnCROxy03rfxfPXPt/pzm3WNZ6mXd797S265cPuG8zrFBOLZ6fDM+EniUzWwjl/Z5GlfvU7zYgIG5Xn7GW096bO3a+dr2rmeDFE88/aTf3d94q6tdUwxfHHJ1RxMOd02qjxukGQ2dJ1B+bat9JBPFo+xqg38wXO083u497jyvzrwy9IkXj897wqKX7mSgfsANKL2yIZeWHUdxXufaftuPNW9A5PL5R5qpZaAu09wok+sanbgT1UcFz+ALLhpxeWXcLlGMtwr7CQj77jpz9/s6K71P//Z959jfm9MF/Y1ElAks6MbeskVjNk73AHLvvOoYXsHoPGVfGbCCGVEyn+mPcLZMrXOnnDd2GU/j5ohRwDUedwO/vjuuJ5rhoZs9UlLZbCHBuZnwKpO1GUr7cqxt+aoKgBJXEvvEr6XBXpzZ0cdzDJVsFqCWDjdzjoYz5n3Ocg9OcphBn81Y3jGeVyXL5kMWGk0kb10Lir2tmeh+1oOMahxfyfuNBJannpzfVni8AnKdQxWrebQM+MoG+l3d1e+3Pp6TvIzCAF+DNWh69d0Fcc3ob0zjnR2MomROYKSPDlqfLXttpsfLY1EufxaUPK1xwe59lFqfDdlStzpSDL3r72OAGFr8IAOlbY5dN3pm/RtLdYv/ObXNDDU63Mg9fimIbzDAKeQFMrUZT3KEL5+c9fIQGqCbdXJNZaatYO5upTGOvQA3GSqPr6M/CmxrC/b93X7T9QcSO74+QsYY8SP56uf7DC/drHSBfcf2FHDm6AmycLRgEPxQcHdpeZ2OKxva+p6DhQ/mBHnMCpnHd56Lueu7V7LbpQQ8G2ww7+IqVRZ4nONuXZ8Cf7fhs9Fq9LnBHrQo6PS+jY358R//8Q9+5Vd+5a2vncp7H/X4RMfiyFuVc9cF34zGKzveONx7WfGVhKoWQzOBhd1vGdfKlTFsvGhZHCUYvPtxbj/96U+/ZYOrY16BeTLpOgGQyqi5u/d4Zlnvn/mZn3kb0308W/sfz/3Gb/zGWwa5Zfh4qL8r7i2evLplzTorrTXu6w+0b3zxtJ76uEmGy4tPDhB6XWe1QakbiGtC7ZV+KE36XYOVl/+U0ZNh51jg7wZ/ik0abH+Fca5PcseLn4uR/1iqaYop4HqfwVzobj3RjI0sP9wxXH/rqwVkq9+vnu9crw3+2DK1Xw1cFhQ8gd8q1H1/AYvJtITB5Dzs9ypOrU5UI5Y3uvTkzN1FeDX3m2Xu3y5wBfwavCfA86qUxPWMusX1O4Ii43NLvynF0viC0yeAWsNxy40qKLIvzfj5bUtTCEj37hZoXaNVwdd3+QxdyluMkt/jGaCsoKbr0TLZjsE8GnwYKLFWxnPH1d+36uDKRsse1+fGNYW4krF911LNBg9uHx17DQc+lNU3RsBJJLdzuBm2pyyVMfiNsVjn69haj9K8zqJmHWRrrr4obY0Vj6BBjTPevo7hV+sP6G457isn25ybITe/ylMDJJWlnVRqrWUwSl/9NWhyA1kFFW0di3131X9r9u9xfOvUajeo0HvdzzvGPs7L97t/D8OiB9kCATWP+OoBR09Zb9s/GnigGy5w8l1BdOlLzzRocZ0uc6h9auCocn1BUfntGvXyV4MIAG31diPp+LagsfOvDeSAF6QDChwwwYT9HdD3uDCPnjBH89h1zWIUwO37ORTdm4ZvmtWpI3xtO0eaPvcYCY501+XJmW8rfQWJN741vK+sUVDIdRcfFJs0IEHX73cLXE2Xy5bOQVoQZlk9z7Okh8sH65OtHDBGl/WlsonzZYx9fOCcnWUPWzK5ee33spV4u3zs824P6Ho32FY5a5Dqrt/o+qUvfemDH/3RH31zLH//93//bW/taDF+22eXL+hdcv7KEfJ+vx+vjt5zMPHU/q4EdzQcTfRdm4ZuAtboWkygP4/R2zjG93uc0vTP5vD5z3/+7XFKu8Y9ZYJLL3bwyQmEdTzyyvosCADf1amck2t92/b5xjTnHm/CCXXObxDNtXQJmaujbY3qjLRSqA4fTIan9pd+ubJZHN7AFlmob+H6G+wrP1Svt39jrE7w++7JLa5qSXqD2m3VxeN5Jct0RsuP6c2uRzHKbcZ+15nNdqI4ff9Np4Kz94G/4fLak2LHYpT6GJW7Ov4XVzwFScprTwGwS9OO/0m3fGRO7VUodzAFfgzSBZN1GO6ES6TreD1N+jqUF2xf4e2YX0VACijuuO77O5bLfHdc+q5zikYF/r33UySU4uV0XSVZUOb92hWMMk6NWUGH9wS6oKhRsa7ZBQG9ruOQTWqE3HcXKFTpab22jpT/jbl7OgtKAb0b/ChvWFPAr9nTKo8LvC+/GFudWwpHpsTzNzmhjZLdLAKj876x+7+lUZsDRbV7Uog95r/0vXL0BBa/Vn1R/XAztQXtV2bu3MrTpelXa9U/bV0ba+G5nLc8sPOprus8bhS+86ksAb/7O4DUjNYTLe8cyMba3gNS/ZwBezpcbwCIbNyI8g2K1fkvmLiyUofrOgJd49KA/sGHNzB3jWcdZ3utru6sQ3LB5NWX+ned/ssX5dvq3Ftx8+T0Pzm1ly9e2bnqla5/AUq/s0a1R+2XI9T5GTuHdt/dwE4DmujT59Gu/xusFVCznqV7namvBjjLY2S/4Pw6yU82uv3iX8ER61gdcIFU+bFBiwaA2OPRwTOhp2/nxO36yfgcWvtbOQ1df7q9NvMJx1T3l0Z+0/Vl52wl6Dy8ukbG1r3udx2KC56cNLRZH5vvt3/7t7/ZTQG2BhHL1x0fOlSG60izyXPiPbOUDtk959yN5vtfgKY6vecG4HVr3yqN6lMZfQ7u+paxldXebz26rHS7j+Ay72vf+5x6p3Lvfqvs4VQ78f+J5nPiF7ChC5qhxqcXj3c8xW3vw0XVS+VNzdqaH11QnPxKVovTev29X39/8W/HWj/k6trq9mLD8qd+72eXLuR/r+qW2gh9FQe9wlVX7us/wI/VlZ942OrWMTbY+eRMN3jFzpEFfCvwd2n8Pj4pT1y7VXpc+/yEFT9Sp/YJwHWhEbulXbfVob0Ace0yViPptyzgaRyuv9ft/1cZLYvY8V5HtIJ+aXLB9pOCL6P1wKIa/QJircCvjlifQ1YDUyC61gzSVWJlGOPtZneGDbCRkVijsBv1vYAXH9TQart2CpthoPh6sM8ToOiJcAWzVxjqpDHOxlZQDdSX7pc3gIgZT8apvAicADV4v3zxBEqu8WKYHezBcDIISlyUEF0wffkN8BehX1P6uj7qQHeNml27xqfyW3rfTEsDLq+CJHfM1R+lPZqVf5shaavCLI8ABreZQwHFaDQAIXDU8tlrKMp3/r/H7pcGZImjuSyD0nxGsA7LkzyU541j1w3EMUbAcQHwbTsdFeje9+S7JWqyJpXz9VnHs5nqvi8Yr5E09pbserxRbccFXgW+1Rv48eqyAtEGFWovLl97qRjo7wSCWrJVZ69BGQ7bDTp1/fq6mcunv3ViOPTkhO6vY75W4GMNzFWwC+8OCI8H6XyZ+/2tLFujXb8MIHs0PnLv9UduZJ/2WXVxeRRNaifLB67beFrafAMkT8G56gb016oT0KoHg3XOePsVwKpeH12m06dH/uAP/uAtQ/vJT37yrSR0Y6Rb8Jn5o0nHQ1aKsRqM7V9ZPbRyWNK+m6zjhdo49rKy1LMd0Lr06+nEXc+2OVf7zezm5r3spqBwabuGtiqU6kjjf3P2+KK9Vu0iK+0gPk9kWNaUndy1+52MfPX61givyzyiKXwgM757qCbZ75WS/+Iv/uIHv/u7v/vukCoHA9JrG5PDNJ/0pQwmnuGAb9wcZNhAJcHFFdZydJ9uX7/rQzCefDXopVX3Xaf2Bh68f+Vw3esEXLu97OrpJwcMD9JR9E6duOtM9f2Tg2dO1YnG0oy29mR7n2yp+9XGN2vK3hdv9PM7l0uT62ORP797Wr//fvbjkjM4sr8R9Oj6XH8ATwp+3gNLry8EAxQvXvz3an5dl261+MidWkbTwgGKryKmjbiVUDcC1Ml1Qq5VynaPwW4rEQqAa8xrOJ8i3XWe1l5FsZ6iKk/K5cmw7r4UI3DUiO1tSmgrIOh/x2tu91mE6Ng5NKPjkTqlV50+wIaCLxBy/6cI0r4HkgiRvS76Wb8zNo1+3v7wGP4oj9WxU+7Sx3b0ABvG29pz7sqbTw1NVwq0pvSnjmyjbaWJz5/oKkK8/weCKLv1b29kDV/381oPc2j/dRhLU4bBmg9soMOMKb7ssfV1sl7Rpnsz/a6lXgX/T4bjq7XrgOi/kfw6H8ZVgF9FDzC3bzw+Ogwo2Yv2zd/8zV9xwFF5DT8CwQC1YAX+0O/4fM9O3N99t8dbAGf7zehfYHuDT9WRdabQpo5++bvAvCD+e7/3e9/4bHxtPnW+bxDwBqUE5KpbrpFthLfgXNludUqDWuX3AhD2p6CJPkejZln2v9NNO3byUFC+dTB+NPBStn9lrbamAMp8jfHSrQDAdU8Oh+Z+1nnf1zFqH9U3pXf18MawR5IY0+Y3ML7vlM7KNtqvfOnNLqPhAjT6rm6kvyp/xq3R5aVhMUDXuyCw8igwNFmmq0t3/aF9bWS30NyMit/UJuGZymHHgW5z9EfPz372s296fX0IYPZ8CvLAYRHg1Oe+80ig9beXe43u5jSHqHy1QBdn4h7sVJvXgPQNUJtnZabZpwbd27YWHi2Hh2QQN7c5+0pS9/L4GU4zEO3gJzpaaTz6NQBsD+0y4nTBrh0/zOnc3/U33btAw17j9dF2LxUI+zv7uJJpemF9r7RYcGLruTHvMKxdq+y0tmZ94yH6smdX4EMncpML33EgnDGAL6u72lRiKXG1Zcr61VmqTqTfK3/VI01c0MECoe55nd86SnTFTbqUn+qE4UMn+dMN9kZ7dE6dpuqSp9aEU+X60vRW4qAz+/q0v9Oc8O54VEWGudRHqd+xNbq2+Tp7nEpBaP5XnwhTuf9vH2JM/zsFu3b2BhqN866/AOd+C4/DiU241MHFb7eysi/3bbCl+oTN+lid2jvZKr0a45vpuhmXpyhEgcv15m9kvouOWNf7b+ToAn1EZ3CB35tVvNmCOo/68bfK5c6xBrogiKKosS2z+6wlgVqjRVU8xlRGtw5do45Df0/BhgLoKosbRLjr3mua5XDtmijnGoBb5r2KtzRGv/JMadyIdgXn0uzpPvd/92JoRddK9xulurztfbPfAgYtJ797TjqXOnDWpjxfXino6Pftk7Jaa3YCyCvv13G8YL3AsmtxZa8K68nw3PW4ugYf33XqNfe6rmOd6acgw4wFECo4css0W14kq+wRAgI2lxc5CQM+M3aiuAWKjJVxNZDjGuvYtb1VCE+OMBm7xn/Ab6BuGY2Bt/JL1+PqjEZmL5CpYbt8XJ1cEFOn58qhOV9er16tU08e8dgtey1tbub4rhtZpZsawKjj03lWVq6z695oUJDZueOLK++1O09rcmWp4KEv4HnzsOVhL3sSAXwnyXbfZ4MK4+lmZ1siupdyUNscXEPHG3fX8AYA+v91mC8vlb8u8KwOuX2Wp9pPZak8Xb65Dl4PDbPGnsu6z+Z0rtUpaya0oFNgiXPCqVVFYj3teeZwtPoLj/bxRPRgA2VXJz5hMsGTq9efnCR07gFfawvc0VUqAPZ311X/1dZ2zzObZU3qDC9DuX52D1Uv62M8vEfw7Bm0C1hyIjZ+zwkWXLfO+/3+lznd2OZIyaIqXxak2sv9HZrWQFID3/gQxvR7dKL7jYUduo5RdbSGZzgtdQpqE2sv8V11l7F2bfX3pBurg8tPF7tfX8B9LnZ84qfee9eO3msNctUpf8J85c0r46/atQ/XwXrSFw78lNG8uqoyX+x216jYij72fPJbDdVA3Zr70bm3+qT8URx119x1+BJv02+tsGgZ/a2muw59gwfFE5Wb6puPrfy4woQQ3reEtEDqOn1Xaeqvk2pEkaCXee9vr6It4ThL13A20q10qdE0DHJLqevMXsB/nYfO6yoSrQvd368VvF6G7Xi6Du8DxpSMjN1d2wKkOrX7rocCWKdG3gvE6tD2VN8qsRkJIAXYZ+ivU1J+cZ9L0wpHQRxlcRWe682n63GBJqDMEV3EsMapSv0CgtK4ThHDPdpQdH3GGqXRiH6jmDdjR2aAAd9ziC9/AF9rwEeVW6PK+Ow6ju7bU1KvPFZ5+ewpgNL1dK8nUF/+vL/Xnoyk+9JNaAQoDbCMDz1LEhA3frwsOj1+BkrWj/1b5BNt5szOYViWYI7A2oyAA2/WBppE9TtPBqR6otUHMiDXKNVBM6YbOV0WehkHYHXjbMS9eh1fo93l8wsY+v7JEXUf9BOl3mcyEs0A9VCpOhSdZ0uneuprbUL5sHSlxwr0yxuVpSd+u3z3CiSVBvR5na06+g24Gtd1yPR316O0oQ/ohma2nHAr+4e/Wl1Q/UNHWZfJwf4nL91SIWvVSqMGaMordRzL63X6gOPahssXlyeqH6qPnwIN1UGtXnJ9x9/1LD/V2STnsmbTL6PnftODLzlBne9oWicPmJ28q+qhd3cNx0/WT/aT7SZjVy+TgScntbJRnVybc2X7SR5kdGCpYppu1fD5XvfwtTr46LPXdO7mO3u8ILlgpPsoi9/J8F/4whfeBe9UQm2vr/ttfQrQHSA12s4hnm0YZlHOC684hd1JwwsStoyZneWMoJk1kfG9mVz0p9fh2NrCS3M6qpm4YoAmAqxP9ZZ7XSeCDm7VHtoUU3bs+r1VeFe+b0Kk9syLrpK5ry68QfhXtKns11be9zcYWZtVu1Ed0H7pRQG/6vAm0zT3x9uVO9er0FifcEd1Kaz/x84TSOq81jawayogzL0VK9Yc341H+WHVPXis2dvqxbsGTzaqa1antnzysR0U9er/CsJ1OEvkMuM1CHspuzEJe0IafWyU5QK49tsoH8dGaYnMW50sTm1LQa6je5neXG7ZiYUoMLsO2F3UgudL1zptorgY2yMB0AD9awBa/sWBsiYVOkbVmomK7rNFxtATOF9zyA26Uqj7bIZiYHl/PQzeHpKW2m7dOQ3GJLpn3qXvFbrSlcAZ9xwK0ds6JgIZr3i9yrkAeXOZcUM/awGENghQHmXcGDjPnNvnA4XKjMxnn98MR8EFWeFkybpsvvdwF+PweBdGUlkKo0Gh9Nmia/jBbwvO0bz7rJoVKG8JSqBd6X33192ABqBQnr3Xm1eDM97XcVdSKqiwNQUc/abg0/xK51v257TX3Qew3bVzZkX993uGY6XIffwS/dcs09P8mjkrSN0cAcX2AVSXJmt7DMUc213rJFKOTfW19V0jk3SLdSvAIP+NDjeQiR/ogu6TN68aTeslu4VHe5gXwy5joySu+4QFR83tnmxdWpJX425kurStQb6VMYBEG5nTP77WF51VG9H+axPoF/3UsasT0EfL4IPplenjnU67k1J/67d+623P43jYXlk6u3TYvJbd372X9RrImg6fcwDc0zG7jwoI8lf+re1c/067vo5++c57fO5e5s6BHl+30UN1/q0Tmbglur5jD71vFZd13Ms8HVQ0Om5O40mn/irppvt3H885LbbZi27GG/t9bRf+Xl/00u73qU996l0ZbXWBMcNB1d3+1vFCT3hEgK8Bu5tMaOsaFkPVedl3gLL/19f4Tunvxk+vwGctgcT/APUaXh/2+PKXv/zBL//yL7/p67XRe6X39IQsNjtuPutve1N3P1s0Ni703/vRfrqzzveaOSlBpUOq16sbWiVYXVAaW/Pq0ts4K60kwyfW0D5VDi6ZUKq81vWsY2zbkv3J+830Rh2bypTgCtxd7K/1kZ5NnPjOmPZbFSQLUuzeSsIFBe6WmPV173kTGZxDdL4BpmKpJz5vQ9PRCg7b+PHIPp8OYP92rQqv69e0om+8tv72WyepC8bQqfDiN6RCiT7bXwmTXTfdLsi2F7o0uLEmaC5YRJ+tNci2cTmdXnBf0Kb45eL06go2zFz62ROvf2RObRm9mZprhAqkL2Ndx47AMICUcAH9FYhGnC6TFaQ0+2fBb2Ro3zkdT1lJna8tYsF0o7buV0EsiH9yXp+UEiCC6bQKUzNM5sIIMLhKayrU6EuIroItIO1nnWf3du4vQVtfAzWYn+BytDi1hIeCo1w7fo4DQNGo05Pjc7PvVU6+Y8ApCQAZ6LJeN0DTv5r++4iUgiPjKjgpDzSKX8Edf03pAbOeZyhggebNAOhPWZrDM2RYrjOpteSNouIM1KFAn9L2Zi3+v+z9ue+2W3rWfW6M4YX3RZ0x2eBylctg4wKXASFAICEGCRETEpETkEAEAQkJCYETcv4JEkCAZYGwyxi7qjyU50GOEFJ3q9tuu3X8tD+PvnW+1/3sKlzb3a3eS7p1T9ew1rnO4TiHta4PXmzO0wBNDXOdpBswaKbsZvufeLPHNWNFDq+c3zlucKOlgGucVzInmrnfBox8x78NZgiSdJ43H7JekwWbhozuA1YXUIreV19cfdn/CnRukGe/FWhUT9nIZH27z4h+Cj66j4CTe5Q3yEJ5pTJSfuqa8evEccrwewNCpW2fw9xs3oy+ANnN5DWiTU9UVzaL1Bd94hq32qA64467fHeDj9fgNzh810r1dcEafqgD2+xhgxWcsDkOeyTJD/3QD73x3DL33/d93/dOhyt1ZS+mp6xxXOZr19oaw/HxHMnaJLq6Aa/qhht4qtwW4HFoyHErXVod4kV+2m6A4M4fXYgvBWTwiVflBF8W47Btk2+Byr0m93TAHKTRFeaYTmHbBQyA6eraPmLJ3Mq0l4+byWxw5lbdXLm9pfoNqOHd6p9LxysLPffyLRksvvBbr2N+69TeElfyb8x0KYffRnjLoE4vjF8XhJnuqy6CqfD+fpe13f4DLfOGbQB89OCgdMzNZJaXOs7aMnit+uDi3CfncM1jAVvq2/0tboKk+uXqouohNk+mlA6A+zo+56CreanDTLbvcoQGnW7VpzXLa+uHR1ft/Oml0Z5drYw+BdGf9GkDjeXdOvTda6LXesKSggmbj/Wv/hNdVnto7v3WzLiAFmysT/q1MW9OvjmJtwYDmrSw54BkkypJci25gpY2Kis+8Lu52HVcm68loFNdcfna7+XPW5FwsdvHsqa2E3lBlWOqzJ4mvql8xNhLpkBU/Tqgty+9VweOcDfKTPiaUWjEA8N0t9m17qpYprmEL7ju5xthu/1ucOBGMPxWpdAG4DcrwsgS3p5fI2zMNW7XQD05N4SNIRZ9Qm9ObdcpchQoeobjAvQCnirb8tDlLddBjyowANy1q5iuM/S+xkjIAl9DcOl1AzgtiSbcANBA2M6hwIAU0U/KXbajkfrR3mYXLQN+CmC4bkv692rgplmpBgcK8p6CVKXndbyuUb40K1BCwyq+yv+NKNYQtr+VietEV+fcNUH7D4BZEzgYjW0i1aULfRanbH4Ddd1RecaE0zVHwFhuKTEeudmRgnNz1cBXgb7jgA2GUususjeLcul1+cL89PpawWrntACqx9SO+FyDT6bryACevuMp11aVwUDWqS3flG8L2jt3HMTS4smhvYGXGxxwbnXvdSKu7ajjd/VJnYmC0bv0oAEb993vHoeyioE5tqPHfvuu7/qudzS33paTOsd1+mlZgy9+8YvvgM2cYdUr+LlBmOqkBiPrjFW20ap2x2+V21uSvhf5ajO3T4EGrZVBe5Wvix0K7hrU8b9g1XS6DX5Gm9Fsx7OJsrZ7L2+oklGW7P740Xywt5y6Zkf6/PjK09PYK4sNrl8wWRzT/8rLbZfnblCpjU2qc9ssT+lb/u4+HV3GwE7T1ZuHZbDn2OJVwXlzKEvYSkHgfhtLceQENzl4kgU7f1nDBrVrv+qk1elCowYc6NvS7QncPzm1szOtskIr89d7k+vrlDUxsN+MHf+hbTPAxZfo0Yq7J0f8yblHgwaU+p3eWJ/Mn98uXRoce8LcpS09dR1etHiyBZ2/OxewpgqtG1Di5+D9jp2tFjhQwYWuZF9Qa+dKGn3zh/Nbedc/QbFt0mY51D7bO2H3pLum6+0gLihRnWetsL0C2GdzUd3oVX1d/XBt7w04fKxObTu4m2FwClWZVyOePcerUWTr05QBWvwvW9rdtTBknbZXDFvjWeeBEmKw7VLI6NU42JrducZWxbUGzPpe4NmyTvRxfo1ThaeCwUlstKsgrIxjrad1FY1wU2DNjpRumLelXTUaxrj/ZV734hDVkLrGlL+HozMA66Px6ptsUdf/XSV4gbZx1HFCvyrkOhoUU+fpOsGvmuvg1bsxUCPJ5MMcujdAxlkdr68UasZwbd+3qcVoNp7c9ZTXaMarrLDr4gAe98bL+kMuzYOXzUzwK+XdAMPG5XEMlTPK+wnE4oXOXbPaGrq0HLzAp8a3841/bkb/OgYFCvprB9EdOxkHkhiTKXwlZnvNod0OmuYP4BntBpjwQ4Mmu+/maSWey4rt3tYg7hzlyOOd9sd8GgO9U9DWoF2rHLwct3OV+M+J0az5MT/WWhZIFDCXfgVs5Xf6s1UlvR7+ExhrYLOglNwUdJi3OrWM/QU0aNpgXo0kG1SHugGnmxWuLPdduwG3G8Rt39ZnGXq83bb/G5Cpc3Uzy2hz+9hNddgcDpbgcQHV+F95myi7DXz2jtfnDHzpS1/64Kd+6qc++PKXv/zBpz71qTf9NL7aOzDNdsgQNjB9HXD06js9ga/w0ZpKFDq1+l6mtDbUPb1fO9Lf7xIjrYEhOoeupPtGwy4jcc6uPR2Pn6bflfU2QLfj9x85X0axOAHvKzOGk8wr2m+OZFnwzM7t43Iqyw2O3M0KBfmq2xsIarDr8vHV8b7fQAx9aeOflmte52Mvz/Y2LnbU+fiAftuc/Nk/+2ffSokH0qd3q0NWnmwOZcRcc3TdvK7Edg1eXfkrnhuvbx523OZZoKe6gw69OqPyUMdQu9nVnocmV3csSLUxLNkwmpDn2kMOJ3x3dbjAFxoPl1uug4+f5ltpc4MT+Pcmp4yjOP0mZHrsDQ5eO76x7v7D6XDNdY7LR+7LlrUSDn9ZV11d/eTUPmFUvCurXNuscpK9FcTp2CSOJDrQYMfRH5uTOaV07f/4H//jzVndJpDjdfrQdVUvjOc5tZvbBkHp18ngaKpasIFnyw03hsnX/rNcZf2ZPOw1GhQnN2B0g7Q3kOC9PsrHVn78FEFvVLtrX6/QXoCJkRhgCqXg+16Po7JW5xnhLohaMwHNwFYpWyfRMQGc+08N+ya4UZVbPtfIgqh0GUaJ842+XwHTej0MBay9m8QPo5cYqAChmavOXZ3jHlNDTGG4x36bcE0YfuInfuLdmobNF+PSbPL6NOdsAjSH4Gd+5mfejpuwbD3fpz/96XfPirMGzthq9BrxKT8ZYxWnea6hLRB3TgMj5kZ7AmDoQ9gs1ld+ZK6qlJ/khvLaOAETwZL9Pz5bJJmB3Vqs3Wt0ntEsbfuYA2tCldLWqXoCQOSq/aRU8XxlBA8z2OUd9L1RuDobN0twHVHjKc/vWhQjHUEXdC5vIMFc4ucG0mQ+GULOnKDBzt98KMuZMzre3ee9z2jUudw1rK/1POACvx2Lt9c8OmmAY0CJ4UW3rlmtcm/Ap8bgBsOcQ8/gFY/KUDpvvtGSfjOf6Fu5M+6nrEKP9UL/p0j83gEkvFaHyDjJ043k4pebAWR/8P91UurclFfRsvbogvWCQrxS3r6AvTay4y+4B14KZnsdY3myDe+rhjDvnDv6pnyw/6ZXvu3bvu3t8/hrgN8aOcHL6SFrpXbPOVvr88CLdbjrg/I3j6YSZDPmZuo7VvYQHRoUMe5di85qMMRn4974JrsD9rc1wFX9rhVMt3Tvzj2eIyeCmRv3QCA5NTfuN5l3vdFUkImTtkYOd67nncIr9gpY8MBeI2t23RX4h5/QtrIBL1X/XsAIZDv28vMNqrwCnmSpMtcgVwOScBQ9Zw56LzitGWPOZ5eJkfPx6XhTUGd0srEUvLJ72evDufudk+pV+2C35Qazu56Qzqu8Vj/Da6XDk368uBc/0htPwXgyMb6i+wQ46kzQtRePdw7pWOsm6Yw64HsJBGiSQe5ZTHQDQ9fRI89rrk/uu6dCy5KndzyqqftfdM8Q96veMRZYF7/WDrbsuAmTtmsPi/c6912iJ4jLOYR7ax+sH+7+MPgDz43fYJod98u//Mtv/bUxpfFXd+3/zafAvGcak3nBuQVoprOKFW8gwph3Dvntni50TTfyIs/lx2uLi/2L3T+WTK1OaJ38ggoEaucKLgpQWq9f5m+EpQr4Rlode+9xozR1dteqGPTfOQSrQNF4Or5ulnKBRa/bF0X+alLvBFaJEfSCmwvaLnC4kdF7/XtPYysIBiaA++0GuHmbg9pdB5sV2djt/LrXQBDlYR2pZ6PeTRquwm6/y1NP7ckpLZ3uNW6U+R5XvkPjjV1EvsBev0vPgoJm+jmZzU7tdw7sFIEqgjv+yo3ylD72ANAQBAF4fK7BbP+aIboZv/LiNaz3cx0SNO11Ciz9fgMRG6MSl2aOG3gpTdunyvh1QtCOQ8zA0w0A447nBMiIu38zmrtv19c2EEMelESubwOlK+3ZPAONxm5uKquNWuI1368R7vGVbb8XfOBfmTrjsEzg6trSunL2pF/rPFTP1WEwFzacADIFN658Xj3aqC+b0s3AgK/q/MojmjzpgicddO2O8Vy9dEFNdcHGJkvb4JrrXznrcVfnva/v+AkNRhdVRwLIO2e8Pl6cY7v/9lk1BkehTuauu/4P8Cz4tozAzsOL7GOzhJunVg3dAKWxm9fqIGMDQBvI6Tjx4z7P1vzkT/7kV80VWt7Aunv7Xr69tuLKI6eRLqXP2ecGQ8jbQOJ+VyHmMV8y2938r1VSxrd7KWvGF37vUoI7Hg6EuamMPuGmi8Gu/JQur0Bn8Y7/ax/ogton93qSrScH2nj6bPX9t+vZhFJQkH5Rnkmf0oNszfi7DrBAsP5Yf2scTcAYh+NKJ/jSvTtn5cXSp6/qiOr1q5Po+fEUDNENhHqtznMD+2vFFviSo9LkhYoiGM7SmtG/iQo87J4NvHWdfHXeGp+iz25mt+l9NgtPVPfh4eIC/XWPVlNep/Y6uxd3vsKm+IzOuoFL/Nz+Vu91mUXHQY+V92+C4zc+1IuwDL1MDwiQjfdltl1LlpX8XDyt73horRln9nz36eZjrVR4ZTNvYPhJr3ws5cfed8O7I2UfU1EGqsD4jqFlmACurlt5agUNBKRrDevQdle9TkjLKAoqXauR4JZxKePxcm6BqD4wxujjHgWfNervMxA14v2/StB8yH5iZMfUIJROpWmf3TZacKhknBYBXzRopWebtzE+gZfFLviYwV7Z5RTfrqusfDRZJGn0la2S9ewmPOWD60wJOFxQB2wAFwSSArwO2PuUVH/T0OKW7VKa7k2ZOL/RTYDxOmQ7n0JRRob3bkbHOgglKsathHxNBsFjD/ZilKp0y//KVavkP8qRdZ06tAXlFxRd58axNR6MMsDrfhRvAxHuWyf8GjFGVHZ1/CgqX0d/x4o2i1TL7u56IqSVQTqtxttcAExzYve7tV27r35XXgEQhlu2zfhLi+qVyneBIX7oOvi1Odd2SO14K1edmwt00avR9AYRKy90GFBjvH2UEhmhRyp3bMutaGmf0Btd8fgTKMc71cE1rG0dyxpAUAB+ndie08j+qlasWdUaQLhOVf+7/F69XxvTtaaNlNspFF/NobLTP90rAyVIbD3irqs0WTWJjXbcv3JOv+0alietuS4+KS4osK4doYeAOcC2skAuZ1NWHv2f/tN/+j/N2bUproGXC6SrO3y/gSL0wvtAdm1t+Ynju02K/L7+bx7s9mvZyWRix8uu77NNIJeB1L+9AGbjot+bBSJDgO1anYvOXZ21G0S/AcLKU/nT/aqbbqLDnHEaXbfBS7+1+qjOL33ZXfr91yU7N6BS51NZPf5QdunatVPGz1lAw/53ddy1ndehQl+yizZo65qtemkGvK2BCo++wQ83eLbvNhNzzepdzokNzsgfW7G2Pi9ZMf6d7O386ZgFu0bDVtF1l2MyJWtoJ9691/Hv4666NwCHa9ffZxhz+HR92hw2M14ciW7F0qqpzA+dw5FucurSvUsonpIpsIFxwCD2MjE/gvhaN7CE28g7vhl/LlDGBv9fP5xzmKX0roNqU629zBXdLjl1Ex/m5GLhBqb4ROMFS6jo1gYUGxRp8O9ijv8V5/brcmqr5BGL40fhMlpXUSIGZ6RA3boogBWRgL0qFe1GXQswSnhKm1Aoh2r0pREemzwYmwyY9Vs7HzPIpjXiZqwmyXhvWVuB/aXRzQ4UJKItBndeMyUAQIHmmoi5aI//yvz6tnNlFLrN/5h2RvVzn/vcm3O78UyRiG62LGfvE7IpmJWpyU5R9h5kPuaXtRLpoUQB3I61gOA6Un2tGTsj4Dzn4q+nKFrbzU61JMWmNOYUPRvo6H0acfNfBXjny9iO1i1fHf81MGMsd82Xd4qGc3UBOj6lbH1vlrGAG33q1F4FXifYb+Xlm8HAdxwu92n5GedsrSVQgEnl41UghPztM8e02crKoKDP+PZ7v/d738rlt35wa97wjnmpw6fvdAKgy1EVCJGRBObMYddl30iuseDl8jw+aEARD+6ec6asldGsf2owhlG681dj0ygxY9pASe2E46vPyMDAj9I2wGb98ygU9LgBiQY9OPzK+AFZ/bmvAmr9qZN7HXL9LY3w4OinPN68OMf12Tptum6Oi2dZ3sAiXq797Dxc55w+66Y67SsdTz+PTtPH+LKZThvMLAu7apyB1T3qp5ne6XC6Zs5ZeU0pXMEvcE3uqv/YHnwi2GkcdRCr7815x4pX5tDOdizz/IUvfOEdrdwPPat7qnMLTI2jQaLLw4C1eals1j7RZ2hZGybzOvoNnM/J9aivOnwyNvbNQKfKnL7h49r/Oubln8pB+b7O2j6ju88FnNUXvUar91pF4Zpde4wefi+NLpg2JhmmndOkAX1qnB1vdSvZsVu2eYA79KGBrCYKOn60Kc2a0eXYcKpb9dI5wXuwY+1vaXAxSu9bOVEOOvl3vT7H+OpAfe2zkTn/sAS9LDiw6+w+szPTL9MhO39LzPa5WLmPVtwx4/nuXaGKYdeDr3bN2QuvVkrtmiuhtZv7zuua/i65Ip+WqJm7bgLF1uDdLulqcOXS3bw9yVM31KpTa3yVi+qo+lQqN8y94+kDfKXRQc6Bd7zM5+wtZ5acktXyohe5Zv8bBNt/5npzBi/ZE6gVD9UDN/B8seXH5tSWWN4LNjipFdzrjHGCZQQ4xAYAuF7QcaPnVSYUTIH2Uzapjl+j2rJcGN9W1BgNQ8nWAMf627ITfWkfyxB1qBrZq2F4Gqv3KtL+9xTZuACH89vjKozXSRC5ka3iWEwIvvVbv/Xte4G9SF8N0ARHKc8iSt1EocbXOhWKx4PkG+Gvw1QaP/EE3qkAPdHP/xcsPrXyZDNkDaj0PgWmDKzxlk4imXVyRfWnGPY/uarD3QhYr91gRpXUPf5JxrwuXW5A69L9BmIc90S798l0AyzAIt6qoXgFBm6/r1Is2Ce76FZdYW52nJ0yd+54VEDjrjMytutQGIvNuQrCbhaAkTZX6FHeL837unqhDjKjXZp3Iyq6sFm+zvmlpb4aF1l+Oqetx9l8rzuRKiNjNBlBv12n1q71ss0cqc5FHccLNtra/zq3ndvbruEt3/n/VinNebzPUb36XF+voW/2qjbl6n1joFNF+huQmE7ummRA65ZyKkdTVki/0M0NoOlPHc3bX/rt6nEyoTWgcfm9/Fi7a2nLQO4r3q19KM3rxN5j75xUt7rOk9NYnrsyaiwCAJxFukbVm9dT0PL27xU/d2y1odcuXno9Bbfw+atze3/3Qwfz3oTE5fvius7B1eN1MN2n5aE3a1a9cOVEhYeKJgHgOji9b/tanr06orx5kzBP9C2e7TxdvX/1zZ239q2VDbJ7xcbG08RT111yDJ8wQIOaglILyki8sDPTdypELFewMeySIzaissuyzezo/Cab6KZiaPM3bOoayxbClpx4uti8NnBSTNckVDO1TxUJT3x87UzPvVjPuWhZH+LJ9l95Qdeb8fzN7D0kSYK/BSmbsWUf6Gey9ZSEKB/WxpUOeA2dBegv7aqnXO+O9+tpX5dT+wSgCI0SNyDDoCrUBi8S082hEP5JgRXsdsLqTDSi13sBa0BaCcWhtvMxEMXAMJjOsXGGNQr7X+kLIHAVXpVtX5dp0bdGoHQX3b1K7CpBDOm3KmP/u0eFkULjyFMGi7LZ0GK/ifjLiojkVYAKaDi0NlIwflEn4GhKTzloS20bearzd+nXgMAFhjfgcYXzgscnEHyBMmXLMWk/NAajGacn8FvA5z+Z8gUC1krjgv57nkh+H3be8dTQG19pUdqWBtfhRpcGSUq/Otq3AQvlc+e0fJccMrLtawNODcg0u9tW4L3P5LY8CxRf4yNqj58Fefa7CHPLLws69aeGAv0a2Gkf99vdkKn8XV5rXy/4BDTWBBFLmxl9yww4iZ6feQOM5YHStMavQbEnXl+rEbeec8eMrovqkv21lmYVeNTBpduVnJHTGuf24wLaOxbHdJ1TAUqDPhzxRprvPdifjn+Z2mX+3ffSiq279q4BNLzaTGtl173oXmXGdco4tegH2HB6PWt15WnLjsgo1taV32+ZXddKogVgU5qxSw2AXz4v7riOQKtxZHXuI30qK1c3VcaqC8r7lc9miPAX/nyy671+cUvHQeYFIjaOyWI3sHxyKm7gsPzSoIBxPwVCarvLiwXf7omOF4Q+yVQzPZd+xSiu0/Gxq9emti83aEI/dN5c886NcTUQvO+ytK2goatvoM/n6oDqgTvu6r5rU8uf16ktwL9g/31O7cWt9Or4rEmdOon0yhxDz0++Tr7rwmf0y+RunzmnO3bYejp+VR2Ca9MlljMMV+6JAq2IrH51fw6YbGJx4I71/3SVqp+9sy0cN3zGzlS31H/g1HYtcR3itgZAG8DpfJQ/q8sqd5xA819e0dfqi2Kablj6W2f+VZQMy3eTM7ocbRqEd11zfhM3HQNfC+2q92+lQnFNZb4427WufvtYnNpmUarAbP3fUpwCMATWYY6QKEgnqTvL7pqc5Ovh9/4Vfmt0AU9GYf+XifebHWP7XC/G16RgFg6vTR123gRW5KPp+7tBQAUHs9TJKgNf4GhiAYFbOtjfGyXX5zq7aAhk1RmrI6I/Y8jv/u7vfmdsF1GjdKb8V1qyVgXxxlTJEBX8XEHC5Na0lHdcs7um1chVIVzHpgCqABgI7LX6emo3sLImoi4gMkXauanjVyMuYnr5+QI2Tu3O27V3rhLwKWoyo/SxihR/tUqiY2nZ+lo3fXBMjb/3Cwg71sphf78R4Ot0PdG5JVrtC7DdgFXBcftcsFo66z8atYzMGpQ6s3v3eBW0Iwv4eHLgGcyMXyOSN2ji2voseKMUE5/qp8dwWK7RbOU1rsaMp9BQOb8xatvsza6Fu9buMcdyx3fzrM6ba997FcB2bW2PLz3MNedqQGcBnMqArPEFCOQDmMEfO39OmB3Zy0P0AECkVff6vYbc73T2LYUsH1/ZELwbPbXNw/RdAWyDOaVT+aT2szqywKKAEwC0eysHnB5zLsdg9xndlAfutRLp7/iO73ijqw39ALudKzu+1gxcf9v3nXsfN0UnKoG8Tox5qVNSe1ra95gt1yBXdy6aibrnsgmlffVQnRa6/TqHF8DWrnZ+umYN/7r/AgeCxpXbPgquPIvv3Huf+yilCxTpzhv8Lh9Vj6FHP5On7kJ98YljSy/6uAGkzuUNSFZvlP43oNASy+qcO8dwSO9Dd+HbVu40CLTjW/4pEKCyzBhUO7xKHhiTgLRzzGuDDze71+qGV3jlqTmPo1mn9u6ALJAynptO5iw6to7PmkyczePmvNrRe2XAu94ef/SzP/uz7xIhSr09+30YijzYPHTH2S0cRjR/ltHQL2ynMawf1tdvadwwu0c+tQT6VRJsDc35KI6Vjf56mkBlsX6dwQa/8Qf92sxxedzYYW2O7e/PIxd3H5Vhgg50RfU8W99McfViv5f/G1iwD8BeuzY9puT50uMG9i7eqy6pLvod2Shq7T7Op52rwWmm1jpa5zQKwGGwHowz9ARuKDWGxPMl3WPv9fyr2PvYEuDR9TANxpGZlZEBhI1njN+Hpps0/b0RtutM3Uj/pflH/XaZ7UYKL9BGM8zTjFUjkhOGgRuPU0F3a4oBYopm17yPuXHfMifBJJA1IGX6m4kqwKsjeEsra3zvq+2jnNpeq/zc7NYFYDW+vUYBRB293v8qFMqYY6M8k4IFBq4DXX5qvwswbr8rH+X/S+tmaC5A7PwVHF7eLc9eGmt17u66sXtOgd0FobdfNSL60EeD1LC1QuTSq+uDzC+d1nG1FfB2DstTrVIAtsxzH3lw+aZz0CCBRy4U/K3N2NNnwJXjmmG+Y6iu7jgueOxxt48NmGx8M7h70eFXd/W6XT9uru8uju8LGpV36kyWl8uLd7yO7bVqk8q/ssmajQbrDF1adeyvnJeex8HwG+AKDDZY2EAfZ8Q5zWzjbyWZ7OMt2XuSu86LjeoK0juW2pTanX6vLXtqd2zs+211zkrTBnZ77MUZ7bf5v3a3dqdzePVvdZPz0JPNhCP27rnClm65d/W/fl/9a65LU3iKzqkzWB5pu4Hi2tMnG1raVQcUGxlHbaVzqk86b52nynXno/x46V6e771gJC/L0NynjsWdw+tMly9q+6/uK717ztO4nsb4qpXukgeCPSoNu4O24yyvuzZUIJde0c+dz6Ga/hXgH73pCjZl7yoQOId9BrYnYkgU2YiudEaHixeqQ2V35xSbN0k0gQsYldwZf7GzPsO16HQDZubl8v0Tr+769P91DG8AhFONTvu92Vz6GlbYff/3DytUXMec0eGu22BTMUl5p3Qm89UzrbocllgQYYGMyc74AC7o+mcN73estX+O/Vrw+W97o6hOFuXeDZBaP93j+j+Hs4Jc0OoYDpLjnoz6GuK2bEIJxN67CLzla7sGo9uSE452oyEIrK5/x9joyD3U7pvMGsynyCFGr2Kt0nuie79fp8n1KiSOb+R2rVGje61mEDaORezW7I5qfN3dbtE5NBaIMCfdlIRwNmJbg3N/IzzN0hVQNqL2RIdG4m5g4WsVmstvBZPo0d8vTe/5VYJkqLxRfmBA0NCOovufs1MldXnnOrfXQLQVoHBsbvbkCbhcwNdjnhzRp9ZrN0NGwTXoUrpe+vY6dcyvU1ugTD8ZY0sob6Duzq/yK9fSzxuV7ThvtuUJKHHMyIpri+BWH5S+nX+AQnb/AnobM92+1dA+zanf9P0Czgvkn+a8IF+EfnqGM3IBtfsy4F3PuHcR4WYTLn/cqDC90fFVH1zweOdRVqa/NYuhvK8OlnG1HFJ7shPt8+UlwADQalm7DXiqLwre6efyK/Bh7gGo0rR69Tq1+sQJocs3N117Tl+hA7537c5PnYUbKEajOgcXf7Td3+v0XB59xbudk4LBygHeKD1aVeJY12kWtXRYQ/vubu36jrvl3O1P7V95tHiLfS2NbnZEP2/28H0OVnn24rYC54tter3OefvyZLNKt4uZLo0a3C2gboWZbCqamZt7/QYVysOVl9L+2ujb78rrDZx8rSC/dBzveEpFN2kt7QTG4O469OhimZ0d842Hk7hrzJlBG8keSar9r8rRrsZr69tenvNMj7faRtDt0r508h1O4sjLBnuOtmRZKzPxkvuQgScH9mZqe//Lo+0nfSGzXD1Qp7Y6SfJNNpvtKx3K27/77G1h3rrxWfvUAOf1deov6V/7xuHenG5Twb1W6aVUffeTkLkZ/iuf1SVr12/62Jza27GrOPfdYziUa2FKjuyNOlAinQRGeqBrkzpmH9NjQsLUyVEyMedqxJUK99gTUXMK3cJzO481EvGUPS5QFvmwvs6D6BsVsT60zzjDNDU6dehM5nUwC+61W9aLUTo3lzGuYS1IupEb5zVzs9KuRq1E7823zHj7RIHcEpG1bl/esXfdodboYQ3qBevo+r4SzQZJOsdtdUIJYPvESdeHV7sZPjmbnOHS+amU1jyP93c/a1uUorWk7xUIu9HMp7E7vyVzjuFglW9KG+O6fHijjqXrk4KqfKHz0wZs+jG5puAv8LnKsf+35LjlZPiL4eGMcBZE7gVpJuOLajdQ0l0d6a4ai2YP0eHyKUe5QKslbXWKAdsLzox58rh+bEdIclk+7Drg65Tsun2kknlt6WUBBYNXnfPUyhN12LbuyjKW0dc+B7ueuSlPVO+Ymzpel8c6T0qQuzGVcwoaXvX/8vDlcWPzfEfP+l5Dz+rV0nTHylDce7oufrKeWBCYfdwOpNsoSaDW0gXXrNOiGoIMoAWgB8DiiZY/d57ZMvIIzO7YlQNy8rpGdK1LTARejROP3eAaGwAHtHze/h5KHDv/xlhnsIHey58+l5fpSNcgi/fV5UEyK3T1eLvPpXUvvC4YvKYssMsH0OXqDfNIV5AlOgTYX//oGBk49O6mOMatP90M5sp3s5iazH7nkz4sLxb7rNXRIPN+b8Dg2qAGEmXr2F5lwkC4MVSPuRfAvvMkLooPr/NA75OBOlgdjxJevHzXxF+H1rntnz67x8Ub1xnGo3Yt56jRHRd/so+efWrc/nva/LUZwD0tYPpLqev41lpZ/RXoUopsA9EGJYtBjB1P36qtBiC6dKY4fzLH6bIJ6YKoDX7W9pXn794etwrkfcEUc0K/9YkZa91RvLsP73gYZPy6RF0z7tUNo6Xzfs8pH+5YWonaIH7x3O03mXE8PvbUAkGK4hwl0Ptt808fdQ+TyrP+oA160HHVB78jux8jnFd376ogrlNdd8ZJxYw1lATdGq8Rr+lzg+7EcWo9L2vE9CiBKglCZbML4A1T1cEV5cAM+lQhdU5r9DnSFtBbq9RSK69XkWLtAjRCfKPWNTIXWHYe6hw8OXLuUYNdofT5Rj43Tp83ftfp+iGGBbBo+UTHd7NNNWYAaSNc5ccCtkZIO65L0ycQfoX8Oo2N5m28HknU6/W+t3824/E/QL4XY4Le3WyFcqCwb5XEjaLXuawD2uyl3xg6fFIjVmDJCN/o2hM/v3Jgn5wORv/JOdp3MlmwKcPUNV13fdcdfyOj5aWW07j3aNK1ONZ+yw4Cp/QBHSH4YE+AZkdutmatAYWNR7l/56zBFfrklsQV6DWwV9l/3zxc56dOc+WdPBpbr8/AXT1VnmlwCrCdDukygj6X8MlR7TjKk+6pv367JecFsejfsrBXzTyVHjeAyCZdsG9TjvI8Z44DRD9XL977V7coE8Zf24TK+mL3uTa2jiE60CN7nw0lWzveUhvPqq2Nd51G+UtTzyLn7HXX7WYY2r/qrmvrOMvoQ26BRftbPPFIg8p+R8cLbCtzDd7gR/PHOakertzTafTBaNtHgxgL+yhg2TkDpisHZK19QwOBN3MleDEMNRzWLHz33ijgLb66wYTSzDzeVv7t9euUVCbdw5w3YHLnsVnQzml5pWWyHhsGF9aWCY6ZJzbVBpkcXPbQEyBuksC9yi/odJ0M+AFd0Erwv7yJFnVoXzkinavOkUeqrN99YkUdDRi7wVIy2yeV3Mc5qaJD867ht6+N9byCKGgpqwfP9HFVN2jR5EADsoKExQo9l6O1LPKOkbVF9/ogzsUDN+lmv56268iWF6tfimOLe+t40hkNNHFmd++9RtMtCTR3Emd8kd+KbjOeG1S/SQf9o3/YBIHWLtVcX1dmLDgwX242Z7wFK3Up5qVhx9xX7dHVc++zx78tp7aM7Hsni4Kpsut/dWgw8Z2ECi8jKuIzxuwkVFEgvAXLfdwDEPg24AgTxWYSGYQqO0DbOLt+mPIgOI2kGus+twb+Kt6CxFcg88mxvQ7tnZfrqFVRNPp1/y8o6/f+Vsfa/VrKwalthqqloO5fZ6l89GQgn5i8Cn7tOimXnpcul173uH6/PG3ejLfZlcpJ74d+znmKgO5VHruRd9esHKxRRt1coE7ndWovWAS6Gp0UTXylAEvjy5+lb9urQIw5raNwgQEjdEFUgyxrV4F2zJeXAS28C1AWkNEX1RtAiextH7kkWqw6xX8XvN9yPnoRAG1lTD/XuS34u+O1BrtR8qc5ufx9gzCdk74u2DXGlrVWVshLZacGy+6Y6AlgvtJN1wHS99IH+EWrZhqfgHs/vy/gWHkqHZ1fJ6fnA26Xv1udUFo+2YTOk7kBDvcaeFPGpy+uWf4xB+4BMM3Wzo5ysgWk2VT0BM6u/bp0lI216UzXr5sjduLaiNtf39sK9vt4iqe5eZqr0rr308jYK13eMjxBroJ42IM+8OzGXa/YALh+9RiRa7forgJEa7atcZQIoFNGG+WoeOjaU3275bNPMvBKPtDNcWS0wLXHvM+GXJrfeWwA4gZANpbx7DJdKvisT2ZTyOScOvPnOakeK0MWBAuaBIEPr36t7cLT5u3qr6snL13fhxEvPS5GWBMknV64+3I0y7eX7FuDr/QwnhQAWOvmRKNr19+zp/gODzqeTWwfWt5b2S8uoMevDq5dL60ETVVwqH4yf65Xu7ZXy6Q5z6286fxe+t/5w6ueP12eqZ4uHUer8a9+1DbSK3jR2uTf9bDpUvkU3zeR0gTfdH/nScURu77j+Fa75+zNpz71qbdA6oL+5b8GMa5MPzm01Uk99pUO+oY5tRfcNkMxb/1G6BBWKxPfEhUMTZAaVbrlnwUkAH2j4xznRm6BlZZMMCAAqsd1NMvoVcdhgk+xFfju+k3NM7DeC4qNCbPciATD1fR7AVcnvMAd09QJqHPiGmjImF4D3udWUnDXIaf0gVLZVPdtpLpgvPMnsrfWxzH0WuaZgcA3+JKg+Y2gGBM6locrSKX5nYcLMMt/v/Zrv/YmzFOYVYiOK329xh8ztKoWjJPSvI9KYlQ5uF3Luet5zttdA9L2NOYajAaSVq60MdnU4PINGhcUP/Fh9cTVG6Ux3r+Op/toeJGO0Zc6ga8yXB17M/3uLRK6RhFb52PDnAZiFsW3ZqQy3HVEHghPL9VBZMCbIRcR3b30y32BfvrQvAEb9zeZIZnjG0hoKz+UVuMp66iqMy6AlN3pLsjNkJY+5Z0biBJVt4Nxs+Z7H8isnixPXdCHXkCQa7EFAjg3S3uBcR0gY7p8blz0dQMa5V8721qeA1heB6iVPV160fLcBjTqDAI4Aq3TNWvAprkbb48/R9PtUGrX0ukSxwNVdvjePKtKWZ8HaOil2vE1tmfn7rg6tfiVvTDvaN+ywAId+tBcN/Ch1Hnjv9mU6oratwYdbib/nnsdrH0n53ZyneO09zlEXVdLRtav2Qu2bkCw2XzBiY2ljz4sKHR/PO27PnG+LIFy7x2/uRuNVnoJHwlU4Mc6ypW92k46trbyyWbe4HerBi6g72Po6viSVf2Ct66eFxRwXxvXbE72ebxuR+nqjl2TQyC402UDdUrHv6PrrtFdehvsvBhj7+S22VnzXHxzAzZadVBx+OXVBoSqp2Vq0W733Bj3WYZ29t5j3baEodVonioyGo6WG7Onney8NZVUTRyxbx4ptP7svAaB+rie8lSXoV3MtvGo2lq/qofhA7zncXYcrP1u6SFeI0e7xsaHz1RjkXvZ+1fN/Ph8bSr+QnO0aACgFaKecLGlfxxxfLxjJfHGuxvTt3zLt7zTIZZ67ByPhkTT2vXyfpdp4ttmlGGhb/u2C+RVugABAABJREFUb3v3pIHpk+FFjyJrkLHBnOoROLfygH+LDct/H5tT672AlXHtJkJdu2Zyx/wYjFJ2vZbnFeg0CtLoZUsgRDAQwPOylNV0W2nnYXjXaKSg93cOgnfC9hpT7ZwZCWuFd79NthKWq5ArcC2DeYo8GZP+FCD2/KfIX+eJU+U+zZ6uuY7+FkiUFgV8BbbNlI3+gAZw1XsQ4kaCu1bB+rDyT8u8jB9AIjyy/gUtTzx8HbMbTKgg1mg06vcmPB+Oa85pN4xq2bZSQ/yO/gDlANBP/uRPfhWg2/UYVpFkTq21JzvfvThR+nez5uWFlpEA1qWBed+9ONtVNOXPJ/pW3l8dc+nY32XynNtMDj4mf13rUjCDN2/UGx85Hz/RJ65h/tYYwf0G9CtN2vwx3p7hiV6CDZtDyyHoB/xVB0O5Mlmo02YM3Xqfw9OoceendGnU+oIgv6Fv6X+d55stdn5B2Q1sdMlFnbDq7J6HFsCPIBZwVH3XIGedZf/dYMzNEj0FwDo//b+t+rf2o1k2QabSc82YB7QFAbcOrTRq9qJjqFPLFtAZpW0dDjzV5R9oBMBOR0wPLYPYxz4BsuN7cyTzTy53fRkQmyjSH8Ykw7vjd2wfBUS/dQlBwXqd9Qv+GzDkzO0aG8dXvvKVr5qzBmbrDDeI231AzHttcvlEo1NGB/t5TH/bWbxZW9f12AvVHHVq6+x0E0qPVML/e7chozm/AZEGRhwnI/m0NvLqCzSvfHZeeu+Cea1YAb9Upq5t6NjhQPS/WayOt0EfgYPR/Od+7ufe5sS6WM6ARzFy8HYuHGctf8dcuecE2uxorwH64T9OLroW2N+AibFcua+TewNr7Q8ZuWsNzUMdKVUVHEm4WBa6JazKRfGlpmpxvwnUjv4bu3PLC5zS2kTX8zs8M7qZB0sBi5Fru69Ms7McJHOIPzYfxTsqIjiLlgqw/wL7xqS0WoDYtV61q7uuzJgz45zOxGt4F6awh8rayo13rvLxNQFLjug+/77f9/vejuXz7HcBizmf5neYxHyNd9FfIJQN3X974T07U5s3Aeg+zrV8WIe4VYT4sUvmaierqxu8+1jW1F5D32g1gEiQKVTfGXhMfzM6rtsXxgYYgNEymCwfJeIxKJuALhy/4AXDXoPZPjYSXIIbSyMJShis/SRAVdRVVNdBfAKdjaA+Ob2NeF7FV6G6oPN9kbC7Tq80A+hu1rxgRPnXzuHUlfY9H0M34wf8ly4EYf81a2XejOeJhu/j4//VVkWlXwBejRK6dYwivlMGnKVu+jJAZO3PGnCyc1QRaJWFOjvkZQpeP4CvGtvypfNF3Lr5VZ3a6oDrLJUH71y8chJuFK+8VH5/0hfX8L/6zz0K4KpYKdwGh9BsNKwTYK7tpjg6yYqIsq7tuM2tZ7/2sSvNqHFu2jcR1jotHV9pdKPBpWmDAH5rq5z1vdcAZgCWm8nEX2uV4/3eTFjlYa9bZtbocANvgJfocx3+gsHep7SqY1uneq1gU5/LQ1ff+q3HNPAmAj3euHZjbc9N3G/LII1nlsFcdL0gt45cHVpgz/eWqaM9/UqWGggVhGWnRfmVl1knRYe75vQRumxs9Le1313PBkThXfqoSy3qvLY0v+N7muPrWJlD/LlzNoaf//mf/+CLX/ziV9Hd/1c2yit03HVkaxtv0K48Aax7KkB1RtfRLWsCk4zOlZnyMpC7/62PRYdu4AaMmvfqg+vcWHPMRtf+4+HKzg0EllZ1ZJ+c1JsxvLR2ToMT6HbXZ3fOb0BaPwB72cRf/MVffPtuHaTgSrNUtZddM94AkPtcIE7Xq4ZZYGcOAMcW7fB1dXh1aHXU05jL86XBk6N3z+k1OVMqEvFXZY3DNyfI2vfOD14QcB99lSN3p/X2syXJxn4zup3TysAtr0eXZvnuGna8bo7Ke+ZsDlnHXsykf+w4vd7NPduuvHVen/Ao2eZ0o5MgpPnpPgl2r4YV1hyLv/HCb6aihW4QsCD3cCo5xZ/DpLNJazt+/NxAedfKqmZVbVM5NzetLEJj32/ysDqngaX7BIFvqFP7KnqFYZTudvF3JxnxRIEaVaoh7n26nrVluFXAAJJzgYW9r9SnpSrti2tbM9SIAeMGVDVS6DiRPsarE4chlRl0QT6npyVFQMcVArQQPcJgZaCbMeg4azgK6vf73Zm5zs815m/M8iEYUf56gS16EZh93xyUedGzERoAi6JWTkKZtFRv8wQYbc6tIVBeoz9PDtdVNleYLs2vken/dw4AxAEWGZreo7zLedzi+u1SugeW/9iP/dib8zMnSImUnePw664nqgg4lpY1lNYSzegoyxLtuuu9GbJFXac8Z9A2DplakV4OzaXVdWov2GBgLs1voEhEtJvNkcU6d+hxZaf3fJq78iGDrnSwzpdgFxCg9NLctIy8hoHOk0W3KY7103Uw1z8ZdyBCHzkrlce9C5DZDbu8W/o0iNK5rnNx9fd18mqcZAu7+zxZrYNnbNeRfiU3gL5ASh0bMu+9G9rUQWm5eee6AYrS5zpLjG55qVmoAqUnHcI24SmPkruPS9J+5Ed+5M02/ezP/uzbOqTPfvazH3zuc59711dgpA5twYn/6tQWdOp/+bk7gw7oK3MTPBPoWgmyst3pJlkZQR38Y47YI496U+YuKFb70ixNwa1ANV1UzOBe1Qd3nul+Y9r4vvSlL33whS984avo7v/aUPbo8ueuzZZckHrnfi+AcfpTBgh4lCFUZYDXa0vdm+xXdouDWunUNdTm3TiLGYpj9KmlyQ0c0b9NONSZM2ewXnEa8Nkmk1+nufqj2ISNoOvr5JAj57QPEgn6vvkf5lsmcY7tZHE8Pl6vrfrMZz7zrmxYcIW9nXwO3O8cso2/OTeTJf22lGh6edmwVV70unuXma8OqZyXD/q6rTYQ7nzizQYPGwSbXlof0W82bbYHbXbc+GTlrmSQc+IYa493rZ/+6Z9+J1dzgHYevqK3yUcTR/S6gCX+Z+PwebN77O2+q5hqgL57j1RPtnqqeJzdL/aAI+kiPg3H0f3vnFz78eT8du4FuOlKfLZ7CY5ZgtM539zY8wNf1rH9v3/IDzBiK2DbB0t7XGO/2UzLZk82/Ko8ewlK9PqVW62/6TOZvbza7+isWkV2+mN9Tm0nrJmcPti5pXIYlyG2rbq1FK4DQLlfd34VYRAdKLih/EzOFMyMTHfibcRtxDIZFrGv7Xqip67vkQiU/40wcLBMXndN239Ksxi862zVcDxF3xhuhowi6EZbzrmZyzJMS5cJcBfce+f8XEGtIW4wAxMCOhWgrmXuJiPdbZOQmUcBApFSx1D0ABs6dA2Csd9+lWcLxJ+UzxXOAqo2c2hnumUJ5qSae4q4wBdPAH/7PiM4ntv5c2xnIJVj4y08q0yKYUUT4AYPUZrKg8xJs691IqzJ8K5v5JZyvY9QqlOH7k+tDqeoamlcZ68NX6MhPuwYqvQbOKgzjRdklmYUB0b62JU65oy5zLkSbxlXWfk68V3Lj26uQ1/YkX1tYGKGo2tbNFn80WpzKBo+4FBdU4BT2jEIrY5xXPm3QYCb8UT3OsTo3mt1Hs2vIE4rA27wSzYawHCdLtfoPXaejYvoZ+XJdEgdlgbSjKs6oMa2OkE/67yXtuhBpo3TxjICJRzmtn//7//92xiURe6Y7rvAuSsvt5XnL2itXm5p/S/8wi+8WzvbcrU5AOsHIKRkts6RNZ3sHh5gf7zv3AFadn/34uTdZT+1f9Mzdea1gjm8UuenPLqS3zkyy4J/+ctffpsHdl8zJ8A0EHz1UkvsGzB5kg2YBE6Z3vR5cs1p746xa+YaT/UJCg1k9XE/dfqAUHrFXPmvY+r5SpjrdNzx3NbqotoyfFIdcrMpZLS0q+wU63F0Lq9f2XOdVstsPLvW+OCnfuqn3j0zU3kmPd+lOwvarEJiepZeniyMXwfsh9nslrv7cJCNyWZTaOmY8Z69FvYSzMAfsmbVmWwF+jQo6Lert8mU9e9XP1wZuWW0HO05/5bm4X38S/7hjGbfZof+yB/5I29rKyd7k//JH6dMQkdVwHSBjF7Lvuusdmmh7KvH5uFBupoT3Q0tyXSTPOUpDnn1q3t2nT/ss8/Tm8Nk+7yy3lWB3FJYfcefdWy1i8MFgTZ/HreEj8zB8AG90HWySpfd1xrpJwz1uz7sCztLp8EXdKF7jD52VkanBsVLZ/6AsTYwUh1QvIDeNxlwm4CGZMJT8OYb7tSuFST4jlEYwpaSIcTazRzc8hng0KARq2UjJSRF67xu3NSUN4NBeFqegOjNInPGrjHi/N2osZfI3H3+1gV3VeofFd2hWDr23rfRzQviLjgs8Gx2QFZOK1gqgGfs2o+uq3Asgdi79ViOrwIHlvBCx8zxrsA046afnYfOU+l0HVqvOmpfixz0syCIaJmsU3lT3wtKG5iwa1wzKz4XsHTjtDpLnUNRWTJG0d/7dwzKSazlACrRmvITiDIeSvSOFR9eHmzUvSAWLzbq16wanvK95WlXRrTbt2ZoZ0xmiDm1HnvD2OjPXgMq+mZzi70WwHBfChg4a+kSWRMpF7SxK2SXKjAmdFwDFZXv0vJGSfEFXeY3572Pn7UnunaTtgaKbt9Ka048GW82EUCqI1EbYj7IiMg5OatDCwj43oDCzbQ2SPc01r43QNjfqgubne3eAJUDTeZIqaT11pP/Bs9cv7r0ylRp3nnDc55vuGxKA4XWHA6s7f7rfx2O9WN9q332+xpnS5WM6qvRSGDM/T1jnsPXKiC6iZwW3Fwnvbrm6laZuI3HHFyebsVCeYGsXGxzMxTXxjdgSh/V7m/cOweQVJ1Gp9z+wS3W8NPh7gsIa/R+s6gdyw1+6Bf9coFoP9dxrQ4u/5mjZpcv2O/6bNd4FRCrjSgfstfFGVfmBOnnXI0HbCaHZtW/+IoDa96aFLD+uw67oACdLCmiHFSwFH/v2n28CRz4viweOlwsWHkpH8oiPl2jc1b6mxf61L4eHJouP4JDakcuNpdIwLcN3qzBbrdaoRsKtswbTziurybIBDibzKCL0FjWX7/hcAGaBkf1wfnslyDlzpseY3fabvC1MnRpf7+3wqWJP7twC/qZFzSoL0NP68PvTpC2OgCuu3vP1B7WxzL/14e4+qU8Sjeif6tpydn7qrhq/1XJPW369w1fU1sDcCdO9By4F5Wpd39Bx1tHziYR+3zXo7pGr9M+YThCcCNC3hsNqkFiKDi6jhfZcqw+uZbojj7WSbjlx9dwFxzdIEHpWuWOCSpMrncdjM6bYxjsCnWjdDV0osc15O5f50rEiOFEG+tYbJ7SMqYL2BpJ0ucCqzWCXwcE8H3iCQrsGsk6g9epvcbjqVUGNs/dWbGlGZ3fKoIqwdFYZLTOqcqEGl4KWGbR9/LoWpURZS/aXyfPuCmxZr3Ncw0thU9OrjK7Briyp7/602ZsDNYN2gC0+q8UtnPUvvh+swTKWQaCZXTsXEoegDF8sePWFt3kEOyYZdgZZ2PDq61QkKmxmYyNY2RfjU+EfBHolYihp8DNBbUyJ1cmyCYdZ+w3enyBfOn55Dg1k0UP6teTUyuj0Z3pBQKv0b26EP33LpttzrsrbJ1svFMZJ0/G1v63rBX9rwPsOk8lXMa7Mcq8lm5Puny/y8xOZ4wPu4t2ZYXTV7rWVjTAZx4a/BpPb7OcZa/2++6xcwR05gRwakdnuxrvmPVN69IZ/IzPK6PA1pos2Wzft37rt34VCC4Psjdo08/Xqb0ygB6lo6wlXVd5uU7tK3t7M10dY4M8O6a0qeNoEyf8RU+Ty5udELAZcMY7bJt7uwbnqRkm48GrXvRD+b7lmPpW3UHPtnzZqxjENei2Cz5t2FPaXRxTua+doVMqxwXDlTk6e5lCO9cC5vsfL+nr2qoU0FPiwyMhBc6UzNKdNsyh6+uctepHsmR6a1m4HS84XXtafqsT9JSZvY7ujqdTPwqjO967rPWaDPXG0r1Q1rpb8p2P4uGVcW+sC8zBeF0HuXMkNK6uNu/4ks9QHLTX+lY+JjPVC/rUKrnKlyez7Fhy0wRc8T0dOtpwOje+PiJP67zoRwMST62BIwF1G+1JALW6oPtv7DOZpafolt/9YbUkRx+d0QDP3sBK7Un1R2307X91QnVpq+O6czQdx7HtOfVrBGU3fvx0qzi+oU7tbVfZYVyRFERtiQ0Bx/g7HkhXx42IU17Ox+i2we7OupTJGuEjVIjUUof+36iCsh9jUqLbPnG0CAMlwqDZBMjjQLoDnEnfyzreOlWUhqZ8T408oWZ0Wiq1/xoJr5Cii/trBIuBvhmiRk66Dha47xzqgw0DlG7OUIjcE0YGzj2tLewC9KuUKTdCqRyIoJcXm22+BqHBFDR4pXyefr9OW7M+P/MzP/PWH+CkxuSWI5pDgRj84x5oyPGdUbVLMvlpZYRWAKVU1rxRMpQ4o3EzZs3Q3MyI8TST8KTcnG/O0f1GMdGCHPQ5bAzorlFgwKFDG2UuLRfkzKAFI2UNlMc9bC3hgH+rRhhHBgSP4u81kXc0ara0QRTBObI4oLP3Glnrw8c3NpJpoKnlPmS8sqFE072V5onkFxi90t39fhs+pnPIeJ3Czn3Ln0Wdy4d0MhoVwDSgwqaYb9e96/du8FMf6LVG9C+AF5xpBNs1y8doUIe1urDrwV+1raOdPlRSNf6b47nS3fJr5fEGZQpa2w86e8eMx230sjJBPGPd/l4cwa4t43R6V6HQSiObYHF8C0z238Df7J5+ztFg1/H71Y3GcOldWqqGKH8IJLYKCA+VR8hR13OZ5/L/Be23WqQ84j/jKqDsPXcs3aHUvoDatRZkqGzfeTbHffyIMbh/K12qcxok6LmVJ/b9ZlNuIFS/nLP/PDKnbWubxwuf/vSn/09OrcZhhGnq9Hbc5qtlqR4xw6Fef6Zbx3srody7Y1dmS0YFxSZ3c27RgTPBIf32b//2txJlm/mUBqWp8/oUAkFpO8PCLR0/nqrNgAca+L0BS+fKfrYV+925hkG6k+/6xqlqNczoMTtkDPjuLg0xR7CZ/SToX4md6Td4erwiGLFr7Prd2wMucgx6dZM6jvC1vw3wWuLm2uur+e9+AjAWh2/35+wvULL+jRY7/+4KfVsxYX97auaIPl2jL9av2YbqSboF3r3VT7D8N2VZDRvidfVCeUQjJz2mGBBPXj+lnxtguHx8nd8GruA09msveOhje6TPU/RHw2A6dtficGyti22p743QMSiElvK9EfamqfuA+GYFKIq7wylQ3ihgMyAm4joxxtrIfsEH5VEgqlWBUizXwarQyEgAdEAlOislwXiEspEP/atRqhN/57AK8ZZpUIg2EAFWG90R4aSYXENk0byXToIAN7utHNa1O37jvEBf/zt3jTzfKPz7lE4/F+CYK9cg9ARxfe0Oc5WP9qllUSL85pDs4BUbMlBOHbOxlYedxxABUcbfzHEdsvJP+aH0Nd46x1dGfK5De39/Kj+uDuh9/NYMuHku0G2f+hu6AJL4bzTfGivflWJ5JqHfZdNdwwYb+zwDOB7W9y5raNM3jmEDZOZf6SKA6v51CKovXK86q1mcZipf8Xqv976GH7tcgM7S10Zi0Zecq2jZf8q1b7CkYAW9rgFvmdkFhwVago2ATTP8zZDcMtsLPp/42rHk6umc21aybgM21R0epdPSRvqgstf55azXScdHAyWCJrvXACXH27Mod98BdiW7zXLumtZtCTByKHcPjzJRlifgs8qFXZ9Taw2nYLQAQB2tq6cvX5uLliheENcgR4FUNxcRvPDsTPJRGjbowXEhs+a2jvi1D7fa7CmIBFAaS7OvHKNWEJUeBYWlX+1/dXlftVnNsjcQgo430M5mksNmoAWnlNS3zZGsA4QGdFj1mP5cbFbMUuyEBh4nte+yosWYkgw27WIT67g3MeGa4/uBadULPb62C/3XB4HsLoNYa2XLkxPhM/m9QQ2fm/hA94vfnnSO69Thqm6F1WW30UMghg413jrSFxPTw+hCV0jucGK74aIsLJ5gW9gavHjtRPV0Hbf6EnXmONUCYfhhfWBfd5yy9r12X3S5/o/2xMv4+aPmZucZpwC063n8VLOmtwJwrdnX3zgb2tJL+lO6PflvTSSsNUNanXdxc2XjSY8X89Eh9bv4cvaN2fzARPjwdyxT2wE0utlnPyG29LnF2o30GehelDSgazKkoVuyt+OBA8aaY0tB1DEoYCe8FQIKtSCx5RJ9ydgYOyEi3D0PraqYgUOKZs3/GkMjM1JgV+Pb6FUNb53aG5lG784lWqMZxQPUKNcUbUPnlq7auEH5YcfGcJsLIGSKznosz9iS8V7r4v46k/pq7jp2x6Dbk4G9jtjXw+9teAJ4tBGU/yiqzoF5Nn8CAnam46gCzKNd+QrfyNLVse3mUsbeIAb6mJsLMhk8IOGOtfz15NTeV+n+RHN9q0Itn/uOv6ssO5+Nol+Q2j4wuOOvnbdsloyo36engBo0Lx2B6s25R/K0mdMGIgrWRfkbrCJDoucNVhlPefHyo/GWf54CDq/aDV7c/xgfQH/Nb8ZUHQvgAUsDfuipjLVzT4cxYg1GdA+DRuXRug5Fj+kaob3foFZpeXnr0vY6uHW4Xzm1pePKyj2b0PwsazBa0BcqA5rBuU61CpXargaulK3tXsopdx/Af/edU9tNXubgirLLEtBjs7E2X9o1dm96TpmlXWM3x2THplHA2142WCudnoB8QdTNHLbCgY57CsqWd3fO7t0sactjry7RCqifggy9x7U75a/2ozzaIFSfa3+BomvQEy0n7rWfHNoLRuswokeTDP7TP7oXr9fpkES4+m8YQSD6Bpwuja+dKC7xHX/TveuDajiZ+WvfWgFVJ76BerZux9rQUxUO/ujmXGRUo2Osr/VIn93LevWn8XovX7f/l8fq1BbP3vaKN92rjl9x3vSAjd1GC0sIWzH05LT0/fJdkx3W4I9W0xECKV3y0USTpW9ochM2xTDl++KR8ht9gV9bfdhdl6eLOVZ0oLHfJJX5b4C3cnZ5/gYq/CdIUXmGJflM+K/VfHSIZMD/MxveCh7Vv9Cfa6vqs+CL6ubqPeMrD1Rf3dLyy/fVjfVDZNGtY96x478++/lj2SjqqV1GZwQ2ITJPwN2uYWdig79lvxvE/rvbdivLAk7sLCh9b2H3UtecowquSIhJLMgvuKcwG71hMJRh3f/0b+2e04mvM9t2lYzGURcpenKGyoRApD5Qes1q1CFuBJYgMrDWrXCsGd3ReyBowEd0306uQCvHdXMxcNNNiNDE8/sItDUEStWU3OIJpbc3gl5FUEGv8W6E9/Jx5w6tnnj9fcCn/GNjITse1jksmEBX/Lim9EkflG5yyBsEWiMPzcyZ6zob7eMFPs1yGdfNCDi/zmGVHdrfcpQGaRr0upE+tCB3+lkl2MDS3fzqKlzgxbn4YXy0c8dXW+s32m2ObNTT+WXQuh6+IEJAZ+8tFSqQdA2/tdRPAM79AIr1QbYW3Ww6QnZaUYLG5Hvv48Gb7XhlGOpEKE8jV1cu6HbVGS2ZdW+GFZgUpBSwlD1p3xoE3W8CAR2rdZoASZ266wA0GyiICpR3k5LOtWsKNlQP1LlCy/3W9frshmtfHcGptenIXrvW9OxAFEe0Dn4Dmb7jC6AWGO4jHQQJd6/RTKUBALfXHiW2+6oG8rifHbuSfHJjWcu+C/rQ5TbV6RIbfC9DtuNs4KRiC12s7TN/TyCefmgQeq2VQOhTED4nXTM3C14pP7324wYdG0S6tK8TdjN9DciUN8lXnWRBFsfXoW25PqeyS0Tgizpu3TynlR54tQ3+aXawQbDLxw2c7ruM1/jrqanoWsZ21QLA6ZNjRBb1tdls+sELvcdby6YumLLj4ZU6t+aj95aZQwPHNbi8PgznuD8dtNaKGS96bTInUGopXpcHddxtEgd40us6+3QwXHjnFI8KOhhb6Yx/bqXeghDmdcfBc901mw2urm1llIAHWfTZhnj3XE7kDWjU0cF3DfJWBrvHTjH35VvYtXtcwDi1Y+NnGzoOJ8Cva4Ldr1p5tq3jLh+4//6jS7sXENyBp8xfg2GuLynym6Fv8ZvjXMdxDdp3DPqE5hdnPWEt8oHvag/ptuo5nz0iavpi2GXHj+ajP7v1O/acWoTqBGH0RX4oJ8dQGiZpL8/BW6PALrCo1+8d44vYVdkTiBotDMA5LRBynMlr5rHA/W6mU7BT4+a/As1ObAX3KaKhAcDKQxo1vdmomzGhBOtk18HxWwGT3Tn3bjt89EGLClWdYiCr644AeoKwebKWsFn1HcPxrVM7pep3123GtevlyocV2tKAAr7HVWhu1qW8fYW6/L93pXroR2FQrgV8VYB1EAteCoIACvzQUtaC3/a9IPNN4BOMudHNjqeKrTx6HYjqhtL2RuLKezdSiOZk9so6OnSe6gAbf3mbc9WIsdJX/Rc9tnV+aVuQ142ayk/6ss+CFzWQpf+lpfNqgM3Pq6DKjZ722tVDou5A8Q1+laedWz1VZ/KJx9dkCspPda6MHbAxNnzCmS/NAE0R2/Jis7ic0jo5dALd3ux49cO9Z8flWpc/b8CkgYsC9B73NH9r+jW95lmwa5za7jiqQgdda0cK/vB6sw4NxrRiADhUOgzw2wSta6nqPJBfz0lE69mKNfJTvu4SHAGS6u7K+1Ml0XUg69DSh10TbIwCXrftnI15QGmfPfal67XqBBqLc68M4IfyQAMbBZ7X9jpm9CxugmXMhfmt7bjr7W+VVB309rk0RX+gUqDoOp3lt9K+AW6P47o8L1GxYAln4AbXylut1Lm2uTzQ5TpAL53bDRMFVq9NrJz7v/aXHNFTdZJvsqMBHc5Ix+ba3m+lWR1mYy8ta299V3nRa71qxormNwjT9Y82r4MvVckZk2zmbB2ZK34szqg9wF/FXTdod/vsGDzb4MrFEhf7VVZdR9XaXffc8/G0x57t9/GX4NzaknGzrW1P/PU0nqsn2tCuTrxdtQVr8Nv+azl4+eCbzr4eDbr0vrUlpWdprT0FuXqswFgxZd/dB4/jC4EcG2iOrtbzWr5iGcHlkW94+fErB0xr1EbJJKI2Um+ALQOo4N+oSw2G72+DOBFMAmXNTI2I/t2yI8aXQe7GVj2X4vK/ZhwFvmsFi3Vkb2bBcZfZW0LaLMFdv6OVSW+kpsqy57ZkQfS1zi161GAWBO06zUbVgZZ9QDM7mdrsi1NLqXYNnsinSCHlgw7mvmtYLhAqPZ4A7AVQaHh/65y6xuX5tdGKwI5+MmxAXSOKgMdVxAWFPl/Dzri1f3iq83ADGteZfQp4GE9f9941Mmh2lXZBSeWtOkJrSe8TeOQQVd5qUK9ydt+OscGWvZS2jL92Xtfa9rrGVvoKkjULUxrjz/JYI5r3nPIaoHRpeel750wf8d4NRtxAQs+rzFQ+7jGdL/xX2TOPHMbyVwFGS5jxeO9x+b10dr0rO65FR9ewPo1D/17pjEuj3svrAoCCiycA01I6pbA2vBHwqzwYN14uKGgmsJnMjr121NrAlnA2cNFdTvVN4BDNZRYL/J+c+waIq8vIhPtwUOjCzr9WPcKZxucDoA3esMvXqe3cjc67b5/Liw/wYgN0zr96kp64wQz802DjDZLo3z5b16uKaccDtMZ+MZH5bXnnrR67MtzPLfuvPOpzdV/lzMtypBvIvjpi/y/z4rgGIK9d1sfinBsIdH8VAwJB5r56E4+6bnXJvV/7fLPlroPu1TXk6mb7n7DQbddGXr3zyhlqUPBVu0Eh17/8ULxqIzUZ9mXO7C/hWDiOzHUcV985h524+r047tr8ztNT4L267Tpltw+tSChPVIb8LwNO18Ge9ANH69L64sX24eKnJz4oXVxPEHLnz0bs3uj/6trf9LBRZV+Oo0OfeLX9ug5t9Wj1Q+Wh+LLXqs5Bb9VFc2rt0QP/WIr3Sn4+ljW1l4EKCCga6X7MLY3fMssR1066vd5lnipuBK8i3z0I4IgGKDCEHOlGkRHLYuQCIecYi35zuPRDf7spzxrjX1Bbh7bKdO0CV9ec4V7EqFkspdxrZdpdg+N0M2fGcR1fi9HXH894o+Q49qPrNgLBzPts+/s7rjo8zgW0WoZ8lXkBISfaBgPoXwe/zvYV2vLjBb01JK+yjndurtJ8upcmoDNjbl3baCByzIHqdSq0XTtCAdQ4GneBL34jF9cxLq/4nZy2VI0x6eYjHf+TIb3g5+qERnLr7NTZECBpllA5aANLdUIaBPOfCCZAtWOWFVOWCITK6uCdGlDntjwR37dc3Dqya4Dd5ynDdrM25dPKfzfDa8a5gLV8gw6izTMSnb/bz9tucKK/aQXwdWYKpFs9UEfG+ZyR7iK542V0G4RoxhKvo211rPPr1DZ41HEVCF3Hp/x/5bLg+BW97pw8OcfTCd0o0bKLrW1dv1c1QDeyHXRBHUk0cU+PiVq/rV1raSVHTxmwahKOKxmsswzgdww28PAfPaakkx4mb+jMGd686ycZajULOqrEwGvddHLX3feN5Zd/+ZffPUWgGbNbAUHGdo1u1LVsrbltZZY+do0zu9DMkLXwQGJBYO38DV4VQDbbdzMSNyh2HZMLXMub1b2Xz7uTbTPoBbCtULnBvS4FeApKoM2OH409tmqvOhW36YeKAXSsjsRfuxa535gEiiyhaLIEr5oL87T7kY19t4EQPday1766phkWYztuQKvBhesk1MZXX1xHwrmWdY33Ly+0XWex628bTDdPsBp8tOuvZJg+pbN2jDXMDdjcQNfeWzHTMZU/NifWi3au9yJbAhhXp1emeo+Lt2UELeUy3uJ6G80KMC4ju9J22IHM2Jjs0vra9OLs9svnJyfcNdBSKfFe65Nlma1GoSPphrX2pTira3EbvKo9vDJJL6NpZd39yAA5ZL/XzEPtRZcyCp6smgMuU/ItoED/f+zPqW2rYGHkEX1rWmx4QgDW0b13Qbpnurn+qyxSnVAEB4YKhhk5goyhCE+Bqu+Etmv1MFAfTVTHtxGSm4XzeyPijbDXmarzVZC+ts8ypsAa8LrWRwhguiqPKkSZ5fUPcNpra1L0yxoojo5o9vo7ZnN+jTKBp4BEz3e9zY91tjuua1s6N1WGeIAy6xosc12D1VJctK/SoFwo4gvca8A/qnVuXb8RMn00JtUCom7XOQU+XUM/ZU0AJQ6YCOnO6Q7iddDRTvClSq5R/Wa0Wiolq1xFdsdb2b8Bgjpvl3ZVetUbdvHuhghVvHRL5aU0d3yz28ANsN1AEFm/pZZ7KSEX5CkwUlWw61t7RNfcjJhzGP0bvDE/T9UGNwjQcV/DU3AxAzG9q3S1eqr3rm6gH1yr/xfI3XPq+Oh/9Wfnv1F7hq1ASBnrnScOzgXV1x7Q6fjqLl1p0ObyzpNs32MvuHRMncLS69U9vvzlL7/x+IChKpUBfutqN6bPfOYz766z3xp9Rz+7E7MX9IQy+zU29dqcO98ecXGBR2lh/LfiiX10TXZT0LHHsvXV+d21uPN7AzC1l+vjr/zKr3zwC7/wC28vMuF+bFhbbS+7vjX1ngc5+gsGNMNafmu1SbFDnS00alavVSb4tnLhu/PNY9d+V7fiuets1nGvDr7HNgiNL5wjaKS/zbJZEqAPxsPRvw4WHptTuz04bKJUpxKf3ACUeSq9Hd/y+vLJzmtgg27Z755IsAY77f/9PnwicDhHrvbY/bumlG15ykbhNX2qfmhwV3+934CC67W0dOfZaXoYi5zeduehTjX5Kb1lMHftyQQ52H0kIMpH5oudswSuMirwwS41MN8gUIM++nYdcvyi/1cnoa2x16m1lEXQvHMrq+/xd+PT6cHxw7CufWJgI/38qMfLXN11beYNbNRu4Jn1eY/CopMtTxG0vJi49PjNk6QpzfFsbWz9LMc3iFQ/p8dV3zWAWbvLVsmAe7zn6D2cMnrjZeu3reW2j06D2B/LI33uJNXQN4O5jkgpr83QNqpXwIYozaQ8OZ+9f50Y5+pH1142y1HgWEXaa7QM2Xi6QL4M0AhimbJ9LbCoYW2kowx0HSwKnuIxBqDtlv3U6ej46oiWBoBhy79rGPafdSU3EFBacbJsIiLzvt88Z0oG0LjqCD05o4SigFWfXaPK9kbMaugvH1/jXiV0jdXl9SeAfx2AzgNeatTKmG4/3ZuhWGM86mzt++jcR1XVaHbNVXkBDZvR8P3JYW3goa+rQPteAIeedWgbFNKA6e5sXhpUYRZoVifUuavTU9l1bDPYBY0FpZzRbgjVx9CoQGHAO0ay32DdmjFxCDwGAr2v02HMzbjUaF3jM31rHXwBQI99X7sGVkOn+70OH757ksHLGwXwN6DVAAOg4x510ntfdLl8JsB0ncye53t58mkMVw9cvV2eb/Ch51oDak2a9UR4chmCbeBUwHvHWNBfJ7D2qb/TGaV9M6P7vc/6bKaKrTEnXassY1Y5r20ko6WNgFnHV1veoEBbwZXHIM2xXZ+7c2mDoW3se/nIzrn7Tda61QV1KBpsrZ0pjzSQVwBIp1R2qo/R7gJDgU0yYPz6VXtS/SfQ2ftd3rlO7pPje/V/8Uft5eXxe985R3MW5yRsoy7zyyG6eKxj6/cL1IvBnuS/Ox5fWyugApPq04KCrt/ggjm5uKA2SB+e+Pb276PwSf+v/rExKv3xlNlv0K19utfSd7TYdfd8X0+egEVt4KnvsOdaKxQubmmyofrEPYsZbkaQPrx64ZVdqp435lteXz1U3bljPJVjx3gKh6rC6iNy/YrXfUaTJ7nAB3eu/d6kBYy2uZHY8rSF6vtimV/PWK+/U/zn3Guz9afBLte7fpPxXoxXfcS2cG5lwz0r2H5BlhPwIfghT/P+sZYf15CIINhpbKVB1mTOsRHpK1in7DmQnJgS/2ZkauAQsUqLc7zG+N/o2jUydaxlB+uk1wBdw1vjVdp4r/G5AK7C5b86tYwYwHEFXT+rqBiDjrcMVwDQR/Cs6Y97W+dD4O/YOQ8ienZtJXw7d8Zs/yvPdm9z2WgwmrRkZL9h9ApmI7nG3Lmo4/o0H9Yrt2TcfD6VRr0yPv1+FYPSjEWdJsAASBf662/BYfmvSoqSEYUsGG27iqcO4ZUtis184B3G7ikzoA+VyRrwG0BhbHvP0s98dP0SUOI4c36BMKOmSuM69WjbMrPS+yrvOkWMuK3mlad1I5dmnMgyh5r8oresVo0QeqEzGlW/PgHsOg/6PgdpEWf3vg7ZK6e2x75yLp7023V0O0do4bhe39zWuHeTDDL5BNzM4+bE/QRD8PbTsgQ6ou3yQwFhQWEj1K8c2/I6niwgWBto3jGbJzK231QXTYd+7nOfe9OZaNo57P0KgK7eqox2/VuPYc/wD9AhQAPQA9D6wSaSLX27mXL06v1U2ZQuDVq49uW78s/AkCwtXWHeaovaZj8sRTI3+21BhDU6VJ9b/cQRLwA0N7WvyiXxgGvQPZfP9KE8fPnMHBqj+UKXq7u6IQ4aFgsVi1RG62DAJ9Ut9HMfs1LdfPVMZWsAdpna0X/ZJ+Ng60vHznsdZ/drEM3vTw7CXkre97KHR/VmqxJa4t7lCzLLDYLWAdFP/zXDXJ6tHmkfr3540rHlBc9QVUH0tPvx1cnV7dUD+ktHTCdtd/bJzuQCTSb/NkJcU+FFHsg6fm8Q/zpFd/58L567/18sgTaXlh0vWagt6fXgha4hVgVgnw2PlmxVwsV4fr+2ofxxjy12aStP0GUCdB4xtGbTtWJ6PPubHwYiihf837HX3+lmbbV5aNbM+U0uXX7Vny4jkAywT8/4d8twFpgkE55tjvbdHPZ3zKmtg+e5XuvIsgSLyomkbgKWyl8ECDjboEQiujaV8kdwCv+JYRC7RC2oMoEMzVOEokzBke0CZZPesZb5RCzroK7JFj1FPQmSyaxB7xoXDW3G1MvqAIOEpsqF89eofJVtHcouNqfAC+hFWHZfc1NaEJ4qSZueuHezyo7v8+wqgJy3liXqv4erX4O7Y5uJREd8dg1z58LYrwLo/H4U//c6eOMqk71k5JplRePreO26o7tNjJRwt2+VgwKOliHqxw229DotozH3QFEdmhqIG9WvDFb5XTB+AyzXqUWnNcGvRoz1hc4Q7Fibwuwuu9aec5661gf/9nONr+/4iNJXhYBO7ZNjCx5kIbq5Gp3Wz418tjKkfem8d7465/u+dZlzaKdfmyVs/16VRd256zENjHROS59erzrqBiRvqWWfGdid3gGq6ZPq0o7p0rL9rg2ovnfvgqj2x+cCJnS58lPellVz7xtMKg0Ye8Bq459BX9v4N4cMe6sz2tfdsxnYVslwCgV5dv2CQLzTjfoK8Olo9tL6PbwB/Km+qU6ofqps3FedNXxpHa37lGe9jx9+4Ad+4M2hHUAatmhp+XDGdWjXvv3bv/2Dz372s+8cdnw9MMX2Tn6sK7a5YQM07H3ntZtRNnAiYOG8AneYRzKgzuyTHSot2ecn3oRBnkA1ndTsVfW413V8O79ApmPJaWl02/qw+diaud1z87DnI+tPsRmaNlBTmhRMXz3fcXr3/5pSUzqoZe8NEo6fLq+SS06b84oB2o+rQxtIMZ5ivKd2Axa+cwqGs81BG/7snNRR8h9+a1nuvv/kT/7k27Wnf8hWM9qCUviwmWzH4uvR3GOHqr/xpr6ZJ9fpcgYYvAmMG1RqEqsYRplrS5qNe/dS1TRfZXTdb/NX5tDXcSTD1tVfPr94sUGFp+NqD55aMWFlbo7g+rz+4ufy6Pr6f3zoiFem26/aufpS5VfXM7+Oa3XfWismu/8D223tt4zsgibTsXv3+CjBg9Ec3hvf3T1dvp72dTm1HL4r9F3X6SHvI7zI8wzHOgoYW7BNeV5vvKC4Cq9KvsqoYNlkdEIIRgXkKR3faFz/64Q3EoQxyiDXkeh7j/H5OlxV6L1nmbSRxqtsK9yXXoxWQTTFXKesDMUIUjqY2nyUVs5/Y6xsPnSderS7UbSrYAlRaVUH7hr863DUGFxn7MnBLb3fFxl6cnoLMHpuS0isiQUqKH98WofPNRtBe+pXZahZzifjdpVt71PniOEy90/BgSen9o4fD3K0C8juWDgme7UUsLJQAFSeKN8XFFWBlxcaEPDf/a6PHM06aYJfSpbuBhkFa+ZYv+lKWdtuktMgWnVIHZrSruPYPZcNUR7NEN5A3BMvX/326vgnvWZcTzqwOrZOXvuPvvSQqhS6wPPI8Z/reZWW13GvDq+Dax7r3Dw5FN4LGoyxsvOk6/H8E70ri94FvmbcAb3JAWf3zj3wJnDTx7xcHdgqDMsV7sv6t/JawYpW3csh9LoZCPK5ez5F9dHIHPhc8FVHcUBoztGAkUAo27d3Uf6nR0CspHvrBX/mZ37mq2yiTIjNDNmkO791YOAHn83hnfPKUpdFlBcvD1180etcPrp2jvzQ052H7vzac2829trGOnzNolfv3wBQ+2i8u/cciC996UtvWJBMus61dTfjaTzVlztH9dq9f3mnQPvugNuAo8DQdZKN92bsbqCpc9v7dx4r/9dWtnVeyx/KN60Lvnze4++5+lm6tgIPnwy/r8rSc64vhpMoMofTXejb4B69I4BfHd75bjKoc2JeWqVQh7x2pXTtvW4gvvIoc7jXrjtfxbrO+jTaDYRqV+6f7EFb+3yDT8bser7LXAr0zrlFA5vjus/vPo/c9H6xuj5cn6G2mp7z/w329Hi0rw23X4GNx2xUuOuu314y5Mb55KN9LE6tm5ahfWYAObWLKjhHalnEmKErEKyzWYLX6ayQAu5PIKuR86bLr1NbsFOnt07yq4zHVRY1FFVel4ErWFW6jUZfEIuhOk6MSpFcY3AB3o16MxD77LmShJ0zSqg5YaKGonAaxVVj17LoV2VPHDw8YO3uPgOpjQY1ytyyo9LX2J4yiteQ16BeWl+Qe+fgBjV6TAMhzdRZG+tVsIyGNxjQ/jTI4vgCfecwJuawtO+1Ov7K2l51vm+0+IIi7VVUjdN9o4ptqiVmVOaccWiewCS+6thLq1uafMHBnbtXAAI9mtFmwKfXlNQra2sgoH30HMXrgFTX4I8a8PJ0+by0M6+jl0yTvhtnP19evTrqfTz/dL65a18LZv3fzBReRSfrZ+gowG3vszeeyUhm6hQICtHrnQf9KZ05Lk+AsuMv2LigvbR44psnsNLjrx7ZO6d2mcaNQ9mfqPurAKIAy60qKq/LZOATL0BUZqPVHbUXtcnk/wZ79acy/gRgn+hdMHZ/r75eoFwmCd+Y8+4c/QSA5tRux/6f//mf/yqnj3wDU2yqUmR9qN69Qcja7uo3NBQcprueeAKNKktPNHLt64h67/4KDXjdZSTX4XtybsvHgnl1UL6WVsw0OZ5T+93f/d3vZL73q7NSLHXpU2emsozfem/jo6evc3/Bc3eILV5Bx/bPcfp4g5HOwdsN2lyn9gb7qhtqA2y4w8G+89B7P/FP+4/Xe47Ns37pl37pLauuSqyyWN36lBwxvgZru4N9s/ANAqBh7eCTnSwO6hj17Qbjn+i43zm04w0ZQ4+QrG65fb22tLi+Mnrn5H3YsrJSzIt3JBT3mwwo2rY657dOkq/zdoMI5fPalcp8fYsbVK6td51myTm0nFoZ29o7Vb43uNj+XEf8G+rU2hmtggJE1DO3kH0KQpZ2jRLbRCjzkQUB9HatGiZGx7kaIFvnRBN1qSIymdfJvQBJtK4MWKEr4G27DnAb4UAr16lyqLLrOG/fGUUMRBFXgXbXUwr8AswyvGN3/ubNcft9a6HN56JDyrd2DwLUSKnoH2a9zmtp2FLd0V4ZCufGDoeOraKqQVrrulzGvVngV0CpSkurw9y5rDHtvdbQcXw3YCr7tDIW65D6bGZGtplwWV10q5HgGN5+Xr6/xrHGzTXwfQ32jWb31WzNBVKlzatoZTcUe6WgOB/b+XXlKbvvli9sZ24Zzd7f9fbuuZOCWQVLrbx4AhmdO7RqQKd7BShrRFePJwEGLl0E76wzx7MNpHW5RR2+0lDG2lzpK/mfofjVX/3VN3o1KFVj3oqHq1v62zXi5aMa4+rG0gt/13BWx/bRPSK2jjWndkltCTJDWb7afe7j1kov83EdPudXZxek3TFeoFm6XPBU2tH7N/tZOag8jTbbSEeGZOcuONzy1gLoG4g1rtGq8uhxPw0cFnxYK1nZ6Fjs/qnv7r/zp6eNs85sx+b8AiK6jEzufza74/T9i1/84tvO0QPbHguD79gacs8Gtf3RP/pH32Xhysv6snvDKarJqhvwimxJg39A2dXRMlr7TfUJGpcOZKdyevHADRi0tLZrBxuMJDfwWe2da9Ir13kzJ/BFdXBlld3of1e/mKcdNx31wz/8wx9853d+5wd/6k/9qXflqtdJwV+9V0F09SReqK2rnBtTlzbgAXJWHVWMUvtxnYQ6pjfIU515HRmyfPvaVozCzqti8jzPXkerTTMHvhfL4omLAWT9Vt6/IJJrdNwSKXUyN0fD+nUqGwC5+K+/dxxk8doEVYL6WsxZu2ueq6/u/fd9eFbwfDywCpnJv0wtOW6w/GaU39fKC09B0etH+L6xe9zNgnceP1a8wC4IvOFh9P7mh/XfaAZrlB/4JB1j/S6+RveE6fIKWKiPirOb/2g8PtrnvVzT8hp628Zc7NmVj1dy8tt2ainz3qTgqUy19wFSO4kBOl5q2BHyZlqeQGaVD6I+ObUcb/0sAHO9RgVrtGqgC4KqHHrdMqjj0OIycR3Yp0mqQdcaHcKQGOupLMZvVTgYtuCqzO4+rl9DwyFjtBiFu/kIo4qpKSEC9ATqS/N9r/PXNc7lLfdULtSIWsF5DcJVyheEXuD5ND+Nqnau1tbX8foU43d8x3e8CzJYT9LoPMV0H1OCTn4vfSoHl++eXuXbC1Qovl2jmUVrIOx+ep20Xqe0u0a/vFWDX2ebLihdmnUbsN8xW1toQwzPqUMHPEpXdH3f7i971Qil/woy6Bb/9xjzZX7wr/On2woSrw5AU05tHVK07Pq6OgLo6Nrtc0Hn7rGynjm15ckn/fLKqb0Gtrqumf6bASvwc76A5b1Ox1inzjH0iaCE4xhs8k4+yOwNAnSM/uvGL3X0zUeb/58CRDX6Pbb0Kzh40iO9fkG6zFWzhjK2eB2tndfdIVspg854uWNET3NCrvZ7+VkGp9fCl8ZQ517rbwCKPhWAtl8F2/ea44vx90/8xE+8vZP5BoK6xOMV+LG2/kn+mwnZC6i0XlFgtfq5FTXWJcM5tSddTiAQ5f3Ooeu7V/UAPafvzbrCXN2TQ6a/Tm75vs97Vx1VO1sno/3DD5IQnc9XrbZi9F22fNdd5nxB8wboyXKDD+hYutLrfivPvA9rNaDi99qIiwt7TpMgvU9lEh1rA9HgOr3GqfXY9rl2in1+hSOrk5/mpU6t63RfE/fvUsE+ihFeM2f0a5NE5oqd3rXhOK/r/Bp/r2MeihG1BiPd4278VZyHr4cnNqZlDnf8+j69N4eWr8Jh77yhG7l51a7fUbtffe8YtsC46ZM5rUuOXJkjS32+Oezj2r/3Q0yx1n0XitEa2Ok9LhaqvNWJRU+8MocVb1qr7PGC+y5ZKQvOmYXh6cEGgkv39+mX35ZTa2AVRK3RHgwlgsoR02kbvXCSRVgRvU5tAcoaBhBZLuG1KsYagst4WpVXP1/mewKF/b/GssdWyb7qQw3Ok0NV5q+TYfzNDDB0nIACins//b5Orf9EU4Bba91Efp92XZxT676NGhG4Rt/ctxvIiAo3UnRpjI9uRO3yY+eiAnmd2tL8Ommda9deU/oxJ2xVDDPSyzR2kTwgVjpT2gUEjBBjUiVXQ1CleIM5T4bOPW6We+2WH3bDmDpOdWzb5yf5ukr9OrU95gZv8OuCA+vH1r9NTwBw3RRMlg+/ds7rVFSvPPF/Ha07v/i1gNtYGojrGKqI0fVm3s3D6N2yW3NcAPqkKxp1nqzNgKy0p3P/Cmi+Mg7l+Sfd9Ep3Ga/fq7cLNq8xv/pYEKVZPvcpEHXta6Q7p+1v50xfniLnT+O6169zohWA3QDB7Uv7eelynTTXpbfrGPbeHVuDD6Vfo/Z3cydy0mfF73qy4nWiGkzVrxukbF/qEBv3rS6pve391gQGF+2XVfF7M9S3+ujKMxo4v/eoTga2PHMacG8goPZEP4zPs8ivzlNFUvkm43s1u1u7Vf3SijNBZMc1U8tJtU6669HLS2x8wan/i7mu7BjbsN30zpWH23qevtuhfcB92b3ilcrm5ZPq0Cc50oyrx9e+sLfOKZ2fMB39c7PJlbHO31N70nmXNu1/bXl1USu7et8nut9GHhv8qPNSmuiDBIZEBcxFH8EI5O7a+dK/c1in9pYXd7xP1yw/PF3v1YvD1TWpG4+yYxVZrZy4c9v12B/VOod3PkufYmJPWbAbs7HWRqD9+jJZsu+CY37zQ71E99xA7rWflfdWi9GB+LQVjK5Nl3iE53Tn9IKXTYF3TU6tJVic2ibAbrC3dPxYnFoduI2QISBFOWIrNwPulCQroZBi72CURdz1Vm8dPoYfUa8xwwDONXkmt+sq6tRd4WlU9cmhLXPeCF4NBMHCPBpatUSopVPOmxExdkJcQ8RoilwRega5gYJGQQoEula2tPL7+sB4erQJJ6hAdozb8lpzcTdN8t1/jRa1FBdf7Xq7NuFaae/NHNYwX3Cgf3eDKvR8JxTZ0bVz7Fo7dv1aSdunPvWpD/76X//rb47Y+vTTP/3Tbwa7m6HdoInxN1PaCL7s7o5ZJLsOz808t90s4wVgZBRvtBRRqVr5kbErjZUqAqsNBLUPdd4L/PEkpaw5bufvsQKb293v3/ybf/PuOXnrqzUv+69BMwC9pTjlKWMGIFtqeRW5z+aAAXgqYe146R4A4Qmo0B2MAj7j5DbafMFv5RvvbEOPAf4Zt+oWPK3f5YP2/6nVyL0CT+h9nZo67uiCT5oFqlFERxneBk4qv/3MgLe1lLJ6nQzWAb8GXesx10G7wZvdf3y6gMJ49JUDe3/Df+U3fRbQ0wfrttnD6mp81gBOg2Tm3nx1Dve50fF9V3KrkqTz0LWIaGE+K7/u0Yh7+4AW16EvSKUn1h/lqt1Vv/a6dKYfC0zLG60guLZPGTN+9AgN5YnK/jiofaaleZwMmg9ZX/KstG7/7dpo0RL8BpTZqo7tOjf9rzZN4Hn3Ka3xUcswG/AsboGdGjzg4I9Os31zSq13vxuBPbU6caPtV77ylQ++7du+7d29G8i9c61dnFa5v7zQJjOE5g3uVr+6p9e9V23xzfz7v33t2LssAi669qQ2hY7EH7XDlZPbOg7Xa5WkNbm34q70JRPmYzbmVbCj+7q08mj81qw4Hunjpoo76bc6rtfBLE9cp1wQmU9wd9afnrbvxK47bDXfw54/9Ia5NM7KxUc5tc0gF2O07/43N7v37jWZ+PEf//F3tsSyBue0LHdt8r2kye6zrO5w0//rw8dXcRT5RuWFLifTJ7+tr56B65jamNpYMgBHehbtaLx+rX87ZvS1iV/XS8vawkB8xTrPTzj3G/5Inyfh7W8eB7AObnOGdbxKQZRvYGA7GW6NzDJcNnkg+CPSvHzRU5NVb57CUVverC+GLJO+L+J+lUOj5AQN+Cjg6loWk622vNd/ygxWQfkd012a1xFtuwqZQayDqDVqJtO07y0Dt5749g1jd+0Q5azsAJO7tv87N70OBi8wNqauNSKYzr/gFN9xbuoItMzCuMyv8r6b7b8ZzfLHFN8UyF/5K3/ljb+XpR3/etYZheT6F1Abk4yJftVhLe941u+NmhXEGl95ocf0Mydt16KMKCQGoYEpxo/hLshB/9Ky/HKN3+Xp+1vBws7bRhVbdzU9MedtffLMvMpKgWznTcRSOeftd+Wupc3mqZUReKbrepo9K0gGPjpG81AeaJS6EVA83NZycFn18dvossBggVCN8nUKL4h6MhhowCHsnJa+1WkNJk6H1Pjh3WYHW7pIB7VKoDxSwC0ThhfrPDf7VCD35Ai3b1ozFQ2y6vMTD+/xJED9HDB0fQV80LV9ajCgG/DhFXPgGczNeBRooXntXoMadQQrm5xWG5GU3k8VHuVVu6Ne/X3bkwNBN/bazXSuUuOnfuqn3tb3ceTM63WC0RPv3Eed4C1j7xjItezBjhvgXf9G8+nJ6vHK/2TwVo/hlWaP7bDaMvr9bh2xeUJzNqx2GH1rr9CllTX0OkxSB6nByVc4pMGO4ii03efx/XQPPcRhfGpPWHH3tM74YpWnwGFpWt4ulqk+KTiug7rjVc5c/YdOlcvyrTkr77Id1btkrM4ePi/v9PgmEeqo+X/HckbfB/KNoTZ8czS87Tp1jtvv/iewRi72+5zC8VarZiQnYIiL5+oYsicd46V/z5NcwAN4sK8mBmBRc2VdKllYKSxsMR9kDq1XS3b15QaWVCK+4vM142lQpt+f9Kcnw8wX2jKijZODWr2NT2AQvtV0y+YGPf6PrFe9vgr8Vn1ydQB/ii6qbi9vup/lGqrGRme6Ynp0vp2EJrmxzIYPUN+IrNb2Xr/nG+rU3gm9jKh0Z0wz8KnDjQBuQBOyfd6EzKsvWDYJIi2ATonbTEGFxvcrrG2UTJ3x6xjeczreOhOdZP3U57X2t87HPbdMfwXglVPevjwpaYJe49r3jr+ZiKc1NAVYlBPhEm3B5N2Upg6BNbMM01V+pW+jZv5rRu6CC0bCb+joeqVXeaD00/BQeUe/l5Gds7UdHKd4JrCyKQIcnbeC4Rph439yVBvAUKJf4FYeMfbKTXn68kaN3Y3YNkvQiDLnsAarMnSDDP3tSQbLd/2t49/9bJwz2i4r0F26BboAtW7W0nG3tKnzcYMA6Gf+K2s3sHOdksrVk8HreAsy7/FPTnDnzpwo95nenBERSLx07bULol61J73Q/+rUVO/X0cLbF7zVAWnJZu/rs3l2r85pgViNMUBW+S8/PTn0F8RePr00aJ/Mz8Y7ULJ7rEKj2ZtXNH76XmPeRu/WVpSH6xR3nFd397s5ambk2pQ73s5x7WSfsXploXQuve819K+8NzouSLAM0TAC56/A6/JI+cCGh1r5omPp2ARabRZJx7BraNcxPAWMqr9LG9fS/9qpAjngfO0GyPxfWbz7H8AfzSrJbLXfT/qKfL5yTvDgbN4A6+bG4xufcNardjFQAbT+1gFm4zpfxQ3luV6/833XXaPDxUGVx/az4Lu2pDLbarrb1ztvfS9WKZ93jF0W9jTmJ373uo6JcdR5aD9q5zlfu7/dbGtXycf+b2UkGjbw69pPdq6Boxt06xjI+F1H3kCqwK9qCy8JFaWwqr3ueK9sCARdrG4eyut3ju+xnYsGjPBZnwHuXk+8DyOpwDAvv/Gh/mg1xxpfoIkhfWzwEu8ac/vewAz6W2rXTcxUeqjWVe3SyoOLDy8+qhx+FHb5X3ZqKyB3khhJkUs7wJZgyioXGflDf+gPvRmt/S4SW4UG3GyiRE81g6d8rbtEJCWIdWgqZO5RgeoxT8bP+P1/I6mEehNqHSBFqs+ug3kqJC2Xucq5SuJt0rImU0lQHbuCD4q4jHGVRh3FMpxju3bJNSoYhKtCUeWLvt1psAZijUPC2MrKduOvHd91UY3SAQpPjpx5KqgofS+QUx3QHf5E9z772c9+8Ff/6l99y9JWDlz7ZsyaGaoiYSQYy1sSVseziryyKJBQMPDkmBTM4LW9rNuow1TedA5DTd5cV2S9Cqo8gm7m65XD5P/KmbEuI7D+zHlb1qaZXCVljFMzLda32QlcP1uq9qTU99/4rSWs+tdxlNb6TZ477wWr5tRvxqk/Nc4t/yw/KBWfkz+9uZJH16zcd4yAxxPdL+07B5yWgiNNtLUl3nVqL1ht4AW/tMS/v6v6KNDqeLRukFHnYq8+ioJ8kKECJ+O/Du99v06ZOdlcDNyP/xZp33zQp87ttUvDe3082rbfu9+A/QpkU/BK5xCfl8aXZ1vWp79o2AyRY9ib6vbOSTPb2hMAZG/0hf67gdKBpC3lWDaQLSV79Dy+og92zngCyGprQOSCKbSjP3ZdO/DvPxud7HPXVlbeZEj9LoMBF02nyLK1BHh9re70vzE3oG8ct5Lh7oRsWVCPVdpsDmpri7v0tw4tWm3slkhVN6+S5lY9tPX3BgQFVXzHxwXu/jfH5edrYxvAr3zh9z4Pu3zdeRSQK23QuPdqcMM49n16gCzdwFLpUOeiOOU6o61MbCXUq3axqvH3cUzVra0EaT8a2N9YloRaENXmRK0wKm26PM69b6CCjD05bD3nKehmbCrLWimJPn2czPQxp8+9J4sbzxISHuXTMumLD2t7n8qPS6vOQW1SefbKF5rbtEpCp2Xy5SP6Wl83FpnSX//1X3+3XGu/l/caiLgBq+IOOgl2bBb3+kAy4gvoCqbtvnvZgKtBss5v7WrpgKal2dfTvi6n9ioVDTPMEMyYzKEd6PdYH+BjSt/gxlBzbKcYRfsMqM+n7IORRySlMXcHuyq5KoU6MTVIBSZ1RNYanSiQoVxb6oPhu9EOAcDYjTZdR7iOBKaytql0luVcY7ibSXMN46RICrRbftm1PPrXdTQFO4TAdSlr79bZPCnwyyc1OPqOqc3DG2OeRxdRXEqdGKgCZ3QDjF27AQjrPCqwna+1v/bX/tq7cnhZaMpwQjq+1dcn4UPPBlLu5x1jTn03h9YpiS62vAlYuQZ4rYbq0q/gq8EXfb68ZG7J2o2uGvMNdPj9Rl39Xke3rUGZnrP7by62dtnDu6cTdn18MKMkCOH5Zx4L041I9m5t+u2PjXIAI3oOsHAcfXLBRel2/y8dVLL43/XwonJw/Fs9YUnGQOSMyMDFrQhpf27Q5amMBwB7CjKQcbqDLtPmzHkGb4NVXl0O4DqtuGmWoLqQsWyAp86Y781Qt5yfkXYfDmDv94oXO3dPQK+gfL8tk7h1gbNNn/70p9926fUsPvS6DnPnxr3YjgYgqkfW/+2wvvlXXmo951rXPxYsFAg/2UuyTDfi99Ly8mLHYt5uhr6Pz+GQFNyWzu5rjnb8gjbDBNOF5LVz0R1O69zo+y0/vvJefVw51e/u0yHryR4CyP4vn+gLW65PHLY15cyOv7zX/+AJ/SfbeJBT4fPdVd+5pYnrPgUdZaqvTuf0bz42Xws2jN/HdwvmLADxUeCz+IqOQyO60b2uM1S8Vf195aQ6qIEXdtzYO2bBhOuE+L262nnd/K9BjurTYjYy32BM7f7T3N/1zH3c4g3Oax07jCAzuftYHmW8+JOsPj2vd81+JrvW5h7fDQv1cZzdALbrJ3d8gxl1rtkZeuJJHoqR68TChvYw2TGzi9OTC4RLssEGHNnhOGs6i5folmvLdw96/dqMV8GGJ9zjXnycViXtu93A4XO8U8zVPhSDk63/+T//57v1tpZ0NnDAJnE2q2e6QaB5aVC9NGGzBA1G49F01XUwGfqik/YqqHHt48W233CntpPfVgVE+TG4CNDo1QhRBwFxpjBtCOE+6rWB2RLB/RoR7juA1MjwjeRVYC5ov+CGQFXA/NZSaUJxGVBfC94a/a7x1Hbuoh6Uhz4VLPWaNbJlkhuFKmDsORR/mcwcN7rTrCuDQWjR+MnIlU+qONqngoUGByjpp/lvdHqthqvzXEXZtRil+bKx4827U/N9hFB55Akg3NeVmUaqC4ia2cMTznmiUcEefnvl1KJpf8PzVZ51Tu58Pr3XYe/cXBDdc27Ao5smaeZ8jurkoMGj8oX1S5wbkdwGC8yPMkPzRrYbdCoINzcFi5dnm+ktnwO4nZver9kmuhHou4EIEVGbMBQo4e+nYJL5NJbS9oLxy6Odv/6+601GFiRg1DqvdVwLrGu0GkRhVKtXG5i8fS4AbAT7Ois+3zHe8fa619npMea/QYrx2fTCgrnLnvutfXiiaa/LfhS0N4iw84CyfV4Ggi5q0ISOKL92LPisQYYGEtCzQK1OWOe5AP7SzHGdoxsIxNsF+WjMlgpIdP6MrfxODspnl/+bqbitfAt06pdN6jomY+4a6DpB1RnX+e41Lv9VD3NmytfuIzvrmDpevc7V70/8X/4x/vJdX2ztdNB3fdd3vS3H2c7/4/sGPF61zvEFtq06ullXrTbqVbCi/HCx4Q24X+x6W3m7c1B900B+bUPtR3WL697f/fZE97XO85N+6lyu4TmODZlR4dFg4eWHmwDa8eRi15v92e/dDLYJkFd7Rbi+/ryaF/03h3iLnrr2gqNr81m78cJuHPvZKy8lsXfu7ly4Z6sULo947xiqb+q4XV3tswqR2fm9GmwoT9z57rW/OZuR0aHtg3YTWrdC7MqceehYi5lUowyjKTc2/qcg7cUTbVfWrq78hji1Ltg1g7cBmzovYioKi3DrrO20R4RFJhb5GTH3OwPSnZYRZd6/9HZBKmbbd9ExSrOZrSrsGpcqvqdWZ7zrGgpAPf9KBLKM1KwygFpjR4A49KXxzt94B5hEUlpGIkpFuEXkKlRVihhZ5Nj/+73PwarxACrWKDpzwpA3unIdG79pPrvWdRb6nbLaGGUwzcn+329TAMowOTDmu3RHe593zZ17M7ULICg9u2O5gQc03PzbVITAdxfr6+g1AtZrFuS3rxcAXfkszcynebpR3QKnKg5GE+/UCX4yOgUErnGB21oDHeWR0tznllvv3oIVsql0AiUM4Am47f/NgV3Td4wSo332+4xadUKf/UePuGZB03Vqb2VG+d95XYJg3DWYPd+827l0x61vC+qNx5elXSS6JYd1rPW3PEGP3AwWg2dZSMHdRzm4jcL2ucZ4txUtt2yrjonjzLVjqhfr1F6DWOeszmaDcwxrHe3Oy5Uh9HrF1/7f7+O1zcv+87gCeqLLQnqt0tH3Xcfz/cab+iRzuJeKmMnINgahs8kWG2he8VPtaIMl7sFR6U6Z3TTOBlWVaTLS0vcCxFaBkFM0tpFYdybFm/qv5LdyUpBYm13gd+fRe3fovE5t5aUBYq3g/gacCoZlq25Qbtdt8KG/97gLFGsb8TDZm92jq5x3HdiW2rfdLAiAe7FQZd51LQkzP54C0CVinYtL446LXefg4AP6pPil4+DI03VoIJBU/dIg2XUs2iqXpUEdp85rA3J1AC/9XBt/G2MrSa4sOpeOQZPJYYNId268Gy8cOr1UTFE7/JQQoiPLV3SRbNwqVGaTPLnE2MznXjuuS5bgizp09EAfFUSPVCa6Eausde2LTTotzUHnrvm/+r8Bf7qm/ILWu3Z3Q2eryyM3UAJDlXcd32Bc92JZ/2F7QQPz3rHXpyI3Xt+UIH2XYHROzUHnoVWLTbQ96YGL//p4Hhv1lkayv5Z11Tepfa8evnsKqML8Wpzb3/VbX8NRe1j2yv8+aZ+0T9on7ZP2SfukfdL+f6H9wA/8wAd/+S//5f9Pd+P/r9onNP+db5/Q/He+fULz3/n2cz/3c2/Lfd7XvvZ9kj9pn7RP2iftk/ZJ+6R90j5pn7RP2iftk/ZJ+/+y9jWVH28dz9rf/bt/922zipVnruRka6r23aLgvez+5vWq9PSWs7W1DK6liPcabbdk56m1BOa2WwLSNQ937YPyBJsm7LVNLaz7XWnY/lNeI71vV8YdY41OF9N3I6Yf/MEffOvPP/yH//CD7/iO73iX3leCprTjabfCO2bp/qe1kU+0b5nPbbd0u3R/mqvS966HuWsXWprVNb8tHXla/2JOep+WVax8o4+Gaomv0vXNyz/+x//47Rr/9J/+0zeeX9n3aI32K59w/0vzvu5aoFvG2vL8loJ0fE9lY+XHrq295Uhds3bL8u7cd07uGud7Pjq3PKVrQ7fOyjNlVyK7z0ozn9a57bcvfelLb5+/53u+5219zuc///m36OeicXtkkvKgW6J+r3Pp9MSjT+W45aEn+iu76vfS7q6NMf82W6kO059e61XJ76vPba9+dz3jmF6ZLtq6tx/90R/94B/8g3/w9t8/+Sf/5G1Th23WN95em6woPTWmlqG3fAlfK/FSkmoJSMeGR265k/+s20SH8sstm+p9u7OiUkT/VT6r00qbK1N0ezfwcIx+r7xtOn68vecKWnqw0uGteZ7ut6kIOuz3tT0ObDZzlU97bVnJ+Hy/deMz5Xj3maGv2l1qopkX83D15pXvW5pcutde3HMvP1a3k7PK4NPjZ2z20jVy3q0zU/66OdjrK1/5yts8KDe0C79y6q33XPsX/+JfvOGV6fXuBDv9jt9a3myZgL7Q3+6BB6uTrN1raWNLGe/8oCfeUoaJn1uWV1vfp0p0U7ldwxIddhPftDS6ZcqVL8cr4+3mOcpnu87P78olx///7J/9s6+iOb1y+a786RFKXQ7QvVt2vz7T/vJ3r9tdva35hrPKvxebklPXcL+nvl8ZKa68NvbKR3XcE+a8r/W9y9o8WWO8MnqP9//lv/yX72j+/d///W/YvJtp0cvV0eWLi1ec01La9eXSvmN70i2V+dKguoOsvE+/XHrWtpjrbo7a/rT/nRvnlR9uv1rC7r6j3XDNMAqa//N//s/fMPpsqd2L0buN3muZevfpUW5cfFE+nN6zhLNz5jqXh34jZfeWiih1hmngA7SqfBff3XLkbibYz7XdnXv6Db91jbf7lMf1hz7cuf/oH/2jd77ob9upRTxr03bhGQgP1l1dvTVWU2J3c5lraC/zlvEwlP+eDPVTK+O9cmq1a4SfjHgnssBnzSRszF1D2x2aZ4DtQLb7eMyISRqDTim1396rPNAUfevUYvgq/ALAqwTuLmhPSrf/P9G+CqX0eVJKl+Zdv9F1UXe+eiwg3IXtnecnEEZxEGDK3HOyAPZuyMT4rtlwyKNizAHwvtYdce/7DR4wksZdp3bNfD85VVfJXxB++XWtDlUdkdL+zuE1rKVnjcKTU1sAt0CAdYF9JJJ7lS+eHP/Jz/TKNiCZXulal/brznevW+VbR/0q5rvWsYC2vG8jDDznfzy0Zt1vN6YoGKgB6rivU3sN+NPne+xTK2AdXTeGAaDyOT1up2/rr+4coV/XtuIzjlfnsM8qvACYXAJn+jp9eNeyNahVpxR9uwu6YwQUngJF/u8c1mjTF4BD56z837Xn3adgY9q97VxJd10+97iY8brXvttwz66cwFGd2qc5N5ZXTtMTOH8KYjnm6VW56PlPfanTdINRzvF7dzEdXXwfLUeLrhMz/2uOG60Eic0rHuja4uml8jqa2MW2a4PJTPdhcB3r9Ly6Bra8h584VZ0P/3c8Aim9f6/NEdnLRizoZ63lXuOlrm3Hp2h5daG51dxb34on7F2w39lVPNOdfv0+G1B989QAbgGqymn59+Kb9vfp+8Zmfji1DSZ2nXT1RB2Jr8eJu3LUY590CfvhmM5Vr9PH5VwHDB+U5jZUrM5DYzqkvPQ+p7Z69RUWLx2ecPeTs19bgA5PmPQ6u7V71Qnm+n1Bv6eAQxMhHLvqGcd0/5jRfDqnNP/Df/gPvzm0S/bBPQ3KXJxibGS0+9I0+GLzy+7cfzd+uoHZ38ga6K6rXr/oi+kZT4HoXhrGWF1XvHcTTHR5sSxeRmf9ETS8e6sURzb5g9+atDNv39Ddj03oDMOUJ6DP8F7j+rV04JUT9L7zr1P6dM17va+13fs+RSm8U5Qj+Giy756PyPmcId2iev3eeaPbmGsRnzkAIq33eYPu/+RYekf3qwxEKrU6zzUUQGejLp3HJ/p8rfPw1BoYqFNUxdXNOmy2BEQwSHWK1woUjKlRsFf9dJ8qZJHjOig14G0fxWcVyHteHdin6xpr2x0DWbsbAD210uiVcXaPOrKl6+WZBjXco89ba8bhfUYHz9lyn6N07/8UgKpDfun3lCHWd3yB/h1HHVuKufN05an36mY9aF5F3uOextZ5fZr79vGpPdFBoKbGlv6+TlezRe1HaXL1Hwe/zzMuiCyfAfAisnvZIBBt+liF9o8jzXnuo73Qhg7rfF/HuEGe6qHqjAv2NOP0jGTOx3R5gcKTMylA5lFIa905Ht+XZgXET7qk/HP59JXueQVA7+c6xZeW5Y0nPeL8va6OdQ590WOMszTx5AMBQjQEIvEgINhz1na83U+bkb1B4NpFssFx0DcyIqjt/Aa28E/PKRAtPRzXHZbRRVCvVUK715wXzqWNt7zw83X2ZUfoufahc9P73E1wnipT9r1gXyMLT3zV+S9/+14Q24DK1ZnXGetndK/DUrtbHqc3rsP7dF1jY0PaD/ftGC8+26uVWu7/KsBE3zQjL8hwA0vXaSgta7tqi5x356iB3jt3nbP7322lTc8pD9TxK064ttM5t/qjGwGWpvdad85tnlVevriiVQ+3/2uSex4BefVl9TYdVUe0FYR4/Drd5fte9wZ0fyOB5+4w3Q1fOZ3k8+JjvOj6nZfqymLEJ/m6/LSG1rXRxkzPenRVZfLJXn1DnFoP0/WMJ7uRNor2BMSegMErh+h9x952mfSe//U6tk8OdoH8VSBVHKNFMxJS5puURXKUq+1/JcmL7FBW3QX0lkX2fs0I6lMzj/uvpQj6x/EhvLekzfHrs/KqpzKgMu5TpLdOR38jTN1hE3jtoySAA0Lu/Dohr3iA8BMONLtBlu6aR3h7bfRtJPOOB3h6ctSqbEqL66i0XwWKlx/bLjDv72jKsF7H+EbnryN12ytl1nE0441eQKqKgvF9+/gkZ+bNlvBXIZf3bvanDnZ5ocehme/Nnlw+6z1vJr6g3rm9RgHkKwe4jvr7HIkGEHr+zVy84pWOiVNrZ937aCPyf536lvcWlKPn5cm16pbr7FSfVq7ZEXMJiHaO9sIbeI2zcIFOgZyySX3sTrHVnw2EKTntHNTBNA5O1/olSNCdHa9Brj55mu8nfXV5+smmXvBcXnsF7F4Fgp7uUxnqsb3Xky65x11Q2Xs+6d/qoI4Z3QXA2JCbZW/beAUNCoCf9FrnrWCzGcS1ZojYV45wd/pkk/Z9fahDWd69zq/799FBtRN1zOu4dldpfb2gvM5U9fnFVE92nn7joDXDqz39dvFBaVravnJOGsS+jmLl5vIZJ6EOW+nIJtSG3mxlZac0bAardLu0rVNenXCditt350y/FBvdIGWv1/5cW3ntZOW9uqF6ybHvc1Dfh71f4fzqmasrL6/U2brBTnxLrmqzrx7rfJhXeK58/USjJwerlarl4Yt1NdWdcPqCoaqWNsf650knxfUd95PO+vU8/vFigyvXr8bp863ca+u5Pa6+Abpq+73B6puQE7xx3JoKkFf45rft1A4QbQKVldSAX4Pq/TL6ZdR77PuE4cmQX2N+j72A6qm9TxjXrkJ9MugF9LauLl04b418yuxWcbdc6d7r9texQBxBbtnTnRPHtKwBEypX6Dw8RfrrYFzH54mOgKoMTZWCjE3LmZSW7T5A934TOa/iukYG/ftM30vLKsZX/HCV4j22padPoK3K8/LRk3yUB65s9Ngnfq4MvI+Xr/y9kpnb8Me9VxVYgVid3K6TenVf99jxAmVPDtGrOQRIGpzoMZd+T4bpCVyb94LGjtX3p3kw/r3fzHmzgk+04UzSrQUpDbTUUbvzd8dKllSSrL1ynEuH3vNJ1z/py0vT9s25rnejyE/GFI9xSsjlk9P5BIzKF+jp2neNfV+91w1mlNdlBjncN8h3HTY6DD0qO73+BR9P9H4Ca5cXnvTJ07wV7PaYO4+Vlavznua/fXuSsyc5L02enJUGFLq2ussVnujUQO7TmPv77V/7cgM4F6Rf/VWZqbxWPutECOq0nLDXoTsakLnO6vuA4JMevvJznY3SrXLkWtfBeh8u63Xu8e37k775KLz5UfbzSS/57Qawn2z1E583SPxRfehx93Ovf3VDg15PvOycJ6dPq550rwbs+n+dk6e56fif/nui0/3+9Nu1qU9Oa4M1l4YeIXYrhm4g+drxq8du3145tV0icuf46lCOHsy7cVgre+9xH7tZfrqBr9Lum148G7dzfXHUbf2/x1+9/5Rg4ICrtHwKSpknfO23Hnvn6WNxapdm38YW1taq6b/Eq9IvkQrmKgiUSQ2DAd11Frf1nPv7VapXCErgG4XTP6VE1wjfiaxitx6za+uW3VZOBEgpj+JcLljQ50+6F2FuNqqRaQqoER0Lr9vfZqc8NJtA7v/de1m1fTbH11DV8boK7xVQcG/PdGxJsE1VPAtxx+44We5l7u76VWuwdg+RHDy1Ma0UZBuv4BfZl5Zn6WMjc+WT3Qdv7z/Pe2yE/CkL18zl5cW1ZtirrMr/T0CgAYvSvQaw973KtPys1TC0n0/R8Cd5KtCzZkL0rVHx25oBubylPLD9aCsv0ydegjJ3/BcAXSXveleJVpkWiN6S8nv90m/Hjrf1w0YI1sJdUFcHkmxuzpXdKsN3zIIA10E07ltatvO60UKd1J7jt2tsnioTeg4+87zRJ2e7PFB+9Xy7J8BCXvBYQV6zTwUSBQc7tlUitT8CjXhHQE3kfo0ORwP0prfX911vtN2Ggc57Cp4ZVzf8aMS6zvoFlTdw+MrW9v/KfuXiyjEZuNe797+/+X71YK+7/6wB7fOcbz9qNwrK8DBec4/RqRv5mTO2rK2BEIEdz1p1rdKDnmUj9MPnZhcLnGUi7gYw1Sd9Vm6dcNUBlnSRpf3nubQ7T8bOPPSZwjsG/+HtOmvX4b92op9dyznN3lWHXnB6eeeJL733f/J1dceTs9x5LY+4L1rqXytnnmxCr/2EZ6sXzUOXkfTYGwDWWm58+16ad25q+7u+VoXfk+xXljsnd471p2u3G/zrvfXX92vbG4gtZr307e/tT+e8PFFeNa/tb2WLLlUx0SU3DUy7LntGntq/6tZiBZijjQ2uM3bH3GUBk+XpHuXknNodt9+VKNfv2HGWBa1ZHndx4zd9iFvZqeptY5NAwqu1t9X1cJxrtz8+m5PaOvicXYVj9EGf7T1Re4eP0JztePL9viFO7RwMZcc6phPXw74D5LiY3JbPKcetMkC8uxkJUFflV0KYnAvMriLzm4m8KfQKDeMAiAKmduw0zhkrTE+w7AbKKKwUed8xL4bedY1rwQPtCtSuqw81nHUoMFTLmi0Q19/dx9po66T3+3at3Tnrwxa/V1gLkloqWKCE+SvM+r0dhvfMY7tGb63xPm88o2UVPEPUDbHMc50Y2RR9GW9uk6HtRmfTrgZTbmn2NSRrdvKucK113UaNySuD3+tfo1XQVkVa3i0P+P1VK+DtvW4k785TDfHtI16pQuEkkP3KH/4lr8Bmx9HMbY1DS6ouqC7vjY8nM5OfrhejZzzou4b1GqgnB6H04VC2HKlz0HLC0r+8W8NaR2kysHKjynADDgwxGgKVglACTc0OAsFKi59Aus1SFlzTbpbp6r6ez3hdR985LXuqfF2n+eqzp0hvq1yeeLtBgy7Z6LICv3m5npIufe5axG640zWyNhOqY0unc9b22+hvjecthy8/30x0dYAsg/5yqB1X+e3ctVz6gqrydue5clkebp8K1sls5fYGfBuwqhwKKJiz3qOtQLqyWtBbvXnHI3B8qyM4wDtOid9szy2zxBfTL5Wrq/eus7L77Xp7AXn0wHhuQdZWthUc3uBEHbJWOFUWyrsqC5qx5QhzblqivVedjwam65gbA77q3N9gxJM+vfx3eXDtlkiW17r0wTnXHj3xLRmt493jBIuu03btxRNv33671tN46R3fa/uqw4qXLr0qB90Acq07497zukbzLiEpnfs0jmL6a+PLHxwnc+4edGIdps5Rvzfo6LuxkZ/1p+tP7YQOhxfLsU2cPWOcz8IpQg/8QY9bJlUe67y1NXCusddPzXwM35JVcrl2dWkxOwd9v22eujHs05M44II/8Af+wDsMYB7cr/7K+tUAPb5Bu/JpacMxr57zFBHyY1d7mE6f2899Rs/9Vx3RtbTXln3DN4p6KjnuSyTABAF016lFuF0HmOjvWpkPQdaHlUFjVkSqMaQQXhnzgjdGoFkbhkKpgPeNQ8lsH/tQQwNcU0R7tRwYSHJdQAZDXUVFUZSumOpmxBpVbSmd/lYxj4Z7zaEV9dt10dT6xlv2QugbnamDQ6EDwvhgtNtu0AOL++zxFzJXBXuU2i3PbsR1x3Qdw363g+YEe7TZGPBl19ECbAVf5blGtmscn3j08pbv5rW8XnB8z7+fe8/Su+MvL9/r1GHt9W6fr/G/n69i6VgLCsgqUN9rP9Hsjh/YenKC1vDxeEcwyH362IOWlN5NIG5Qonylj/rPKWe4Hd85NB/lezqP8QRs10dr66fz/G5+RsfurNrg3Y6zwdzd/dcGOI1Yl25osd+7mUtBzp37J4B6y6UrI9cYkv8L/jvXdfwKhJ52eOx5pX35ESDoesLbj0aYm7nto1H8hpa1Leiuzw3ONiBR3XJlp7qgc3Sd+yen7X2ydOn9yrG9Oq/O5z23x5T/7zX73Vjcq7xx9cm9d+Xr6XVpWF6XfSnGuPzKDlwHGZ/hn2YY9sJbNyCqemb8M0dYWSH71SU3fSwfGsEIMAy5uOXFeLXZKPcFIL2MwX3pocpcMyfVG3eXZDRtsLEOSNv7AimXpzqf/e0e39ed08vrT7zS/145we9zvJ7sXvta5/XKzFN7Jb9Xvu89BV42D90p+el4/b74oHTkGHoUpeUWT3S8mG6f7XDv8+wPvFj81DGVfsXed26LA9lzciSZNAxZmy+LLZiOn4dt9Yn8VFfPdi7QuwrUj0pI+O3JDlZvdT75BR03e1K8Q2bpjGaOGzTiNNaxbnXXr6eqq+fRebWH+PYGjV7pdz6F4Lxk5I5pwmzXpIe6rAgvNXjh925YWXpeufmGO7XWKtbJuUJf5hvjNYMik8k7R8S7zrJO847hyCob2n97FtcE6T7PD3HuerSCNa86sl2Hur5ztjYGEzgl0GfT1pnrek8RWyBO5q/ZZuUkHbvS3LYycuvU16cabwbtPl+xTnb/27EiVIsir7/rIwZc/7rDdTPB7UszIVodSBHs0W99niO75wturGiKL/aO0QkeQS2ILJiUTWN0931zZqOONTuUAq/l2esort3srzmuMb+OXw2Gc0XbqsRuMMgc93o1kj5fnr0OeRXH0/X18yqsGjutY1y7m6/0GjUEzdC2fKayd0HD5fU6WgXDO9ZjskSXC/iU8/S5lyogGu2/0X9AoU4hYNySIfPRoAoDZF4bQHKOskg6Zfxfg7x+G6d7oyHe9tiSyaeMLcd2/+83Zfp+cz1zJlO7Y6+evXN6nSj0v5UOzRReGboBN05kebbghczt82iDD54e2VOwpQnImYPRq31twNJx9KrAW52d8U3LrWUixierBMHTN5PSJTlPJYD62oDAq2DV03w8OcmuWZmpHFXezOXVIb1W73GDZTIST06w8RT8mveOu0G28kMB1pMdLH3IYudIIOrJASpfKvunq2tPAGT/uT5b1nJ1PK7SiHNg/APU6wsbSK73O8d3vEKmm51lpy5e0s/pORVjMAm8UicXXZttFWzFt7CTaoNbXikor5rrKVhTXfDUrvP45Dj092tvqgPusU/HlE+8GpBosLl2uUGSOpSVF3riySYbX9+rq3pMr1/bXXt7q17MT233k5yUdg0yudZ4Zbbn537u594lldgGMlzaNTlhfxNjGl+o7JuD2F2An3R1dQM5axVAsYJkzF6WqkmIDEPuN1hy57BxnNb1ZzSTHOnGtjaaG/5VsSio81TNV3zWVl+lush7l+PstfuYn5bq0jHFEV2KUCewtpUzTMZ//4eYnc0XxGjAr3bg8knnh5zw0xpUGN1vQo5sGb/lITZSbDCtuxwbzz4XP1YuP7ZMbUtBK/yYnoIVSaBQCWgNQzO5VTaEoFuxAw2NIE6YbFolCtpHsVzQUWGp48WxNIaVxYpgEZw6Nz1vrRGi3XcAcy+MiakmjLue3aOnCERwl8G0NX8NOprtnRO4Y/fCCEpsd9wyQRi3itK10GDH7n6jn3t6RMLma2NeKbKsuNKtGo46tY3MA/GcjI1711uf59Byajkmu64AhbktH+zYZr86BpGv0bLlOftv99s8ftu3fdu77InSrvLDLSmpQ9rjAFH9o/jxGh5pycj69QREG6XDi+bs0rjAE00oEt8pqhvhMu/ONb7rbNaYX4PYczo3+05JUYB4ajQZr44GdaZr3NpPvzcCzCnZdcbX9IvgEjpPwXJqRaALQgu4fPbOWVGm5LuSmPWhgbxmoRnAVkR4FVQzBusXh7ZLGFpCS1+2VGdywokdbTni9PH0oCqYjQPwoauV7DMupfnliRpfeh1IniyN7qoq6hD0YfPGW71OfylTcj9gepFy8gugKP3ts/8KpsrXe43Xdn38UuDfzegssdjnXZ+js3f3ms7h0LA9nkM+mW6Qkn4eHTwn0hrha5DpJo4TfUnfvHJor0zfY/p5464cNcMm0Ku/nffe27lX/ktvvzueQyei7/+WrfeaaHH1a/vR4Id7FxPcNZjkabS8QAvos0RBYLfZWLI5W6gqZNdpEPZm9vfbXgPaXeu++9AdSprXHEd2uzbb+GRc2H90XINTBPnsnroXvhfg7nrbW2aIP9nOljV69JQ53W9//I//8XfA/y7jYave1574mHyUF81X5x+PNYjxxI+1M8WpbHXv69UlIL1OAf3tsz41O1W7/uR0XzvcgKjx++6cBtL1aXPwLd/yLW9LuS49S8P2YXrbNSUWxivs184bj7cCoM6NEmXL34ohxj/Ti+Pl9WtP9dhrziJM3J2aXbO2oTahWAhOnG5ffyWZhtHH++uLZFDpt3uyHfb/EZTsvhT7jRM8/rbkTjBp44MNG3RtK+by7vzaVHivZeN8BNi2dKHHJoezK60C6dr98vbvCp5E29K1ARjzYD8bx9dhbtVbq1Q3F5uHHQeH0PGl8XijQbNrE/THfWCbYnMY/2NxausgVviV0gEGZSwTLgNB+XJ4vChPg3aPGroqBWtQb8YYAHkqH0XMpswZMoxis6QJzF6byAL9AjmMasIwa5+dWMPgNcEcU2x9rUitWvsqP+PBbJyEKaW9KB6AYuPZddHNbtUtD0UDjjaFPebZsVNEc7rRR8ai9fmcpyqjCguDytiLZO++U3ycevTklKL5r/zKr3xVmTBHAEjYNfYaEBZBGlCdkqeANocFk7v+5uJGIC8/479mM67Bvsb5Rr0KRAQMOLuN/LtWs4KvDDVl2Eyj329k+MnQ9X+fq9gaSKmSAf4KYG6kD4gl5wP1HXuj4hdYXJrWaXFvhlbZbrMTe00m6KDqITxUAE5foCFHooq0jghD3M0MrnFuWU4zOGRCkKfLDWr0Sg99u46D+1jWgCaNcpvPG2W+8tr7lX+cSzfjTYZsOkcZ5s2CcEj3Mi/XqaUTaog5izuWI88eAHDTF0CJ8aBr+2Ct8nTI+opXBNYEtFoxRC4FNgVFx1/AKT5ZX8druz6w1uURfW57A7IFxXilYL6AuNH169BWN/T7dRTdp+ffY81tZd5xF1S3cYafQBxAhK97vQYiyoMFZAX3aNpAm+PomjU6sdfvGKrvyG2BnrkV8CTHuy4dw1kErvHeDZ7BJK3EEpwpfembK/fN4AO0+l569p4NFPUlUFteLw3Jpnv32eA7HzAVuF+/xve1P9cmXLvzqlqgzfzi+8uzl+fpseu4FaPVAfS9+LBBzvLZ7dsd03XE2kf3Kv9dZ8dxN4NZXFX9dp1cOGTHcNDGj211Bip3eGE8/au/+qvv7GU308IzleXynL6MLwR78EUTGfTufhNk3fsdg/GzmfRC8QZbL8EEI9qT4lZ0wEmtjoNz2UwyKni933/6p3/6HQ1WiVM8q1+c3T7/ujx8nUXnsY2ctlYECTo9yWuDLQKwbINA9Q2gf9NZAvjKVhTDcKiLx/xXXuAvNQirX3vdJ1igcSs9XZc9bQVlfR98cfdG+Fid2g58k0y5MhKifj3eOkclvhU0DEeo3I+HfqNajkWsrsVr1O8qJROyRviUX7imiARBaxai6w52PZNW5xoNMAVHC9MPcM1I7rw5kTIri549RTtFE2V6ZDubosd4O0ZkRKmcEl6baLTMd+cBcJiOgn4y1A02ULrGWdABwMqemN8pt415GzmNP5QlrJ9zTBeB++IXv/hVW54rX971dvwyr3/sj/2xD/7Un/pT7+j2gz/4g2/nAhLWBqP7fpONW7vOw5NA91VnuP/7XCNXBd3S1Tq1ANEt6XQ9814HrGva77r2mw1632e82shgFS1F579u5Faj7DxytbbxLThSQ1lw86pvvrdsCf3cY8YML3gfb8nSMo7dbKFGpmC5634EGQrWOEwyve/rc5U/Y9a1QKKx5K4liuZ5rwbIyBtd0uUUDSKtkX10oxMa7GBMn4zEdZ67hwAAMXpPZ7nvzaYVvLYah9zgkZb+MogD1PvfJlicTJnPNZsw1WCvfwV8MvZ7ny6xjwMbQwfKgNExgpm71o7j6Nah5RTt3N3D9/VPBtyxXYt9eaYBiGYPjakO13XmfL+A39yVHwvAO1c9v/z36hoNCjlGn65Dgw8F8Z4cD7zbcwvwa0c77l6jtoZsNIh9ZXQNrcvnfsef8Ij1eYJlnNp9X/XP/lM1oqqg80VOm60unYyxa7XLC5Vx9LugtOWKNyDa/70KkNf0bd83Rjy+l0zUeLulk/tdJUMrPi5NS/NbNvhkZ41X0Kr2tPJTnncvclZ+9D8MdvmhuoocXt65Nr00q930X3UvnNpgxtr+66Y+1dHFIZWVOku9voDf3bDwOsP6pWR02HM4Cf/VsbhVk9UPjtUHtOBccc5qh+vAdmMjv+kbu9TMKJ6GI20OydeAXznZZGTny7zehFf3UCAP+irrvXu2GuAG2VpxcXm6esAc8GGu/sNDxSzsrDluGXo34US7Br6e5vy3XgSGbqC/AZDKRnU6G1lsy8ne3ApI7/zuRdDKr+r1+nG7tmqT6tHO2cfm1DYbiYmAnbUNzMJsA+sEqcVfU78PNCOwncG69qVM4hwC0PQ45VTgXTDdyDTHmsA0u0Jhc7a6OVZBpxrxOng3WmPsgN6yDrvOL/zCL3zwhS984YPPf/7zb7/ttXstijbDqbnW+rrfB9ZWBsihHx2/53u+54M/8Sf+xAef/exnP/jUpz71zvHe/dbPKbIf+qEfeudc7twJJgba+L/zO7/zg2/91m99u8b6JiJ2tw5/FdhoxMzcjVGnQAuSR4/9LloI7N910Ry40XilLI0i7vdd47/+1//67hr7b8fZWdq9ANk5vhvnymNqVCiCW97gvwsCCCa+wjelBaGngFqVIKK18Xcr9wJdJaaiVbIR1mUVVOiLEvyOw3VvZLrlXnWKGSvZz27CQI7Nj2v02qKgax6pJBpcg6b1s/kfPxfkF8w2SHSzoejQ4EyjrO1nDdb628eTdXxPALglbfiGM84ZElgxBo7VU1VK9wAQ5FE2ZT4LvOitght8Yg8DGe2VUtkJUclg19XjEY6sIJSN3HwGAiZXgFZBFoN8HbIC1urgGnxjXb9b2igAZN2NZSYAkcyv77vedM36a3mG7HizWa1y4MgUdKInXmeMgT8ON/5j0Nf3XWf2T+km/rmBHHYLz9/A2uXZm0m60ffKU7OlbXioQbZer86HczuXzqm81UGtzes4ndN5Kpgs0KFjW+HQ4IdHQFxnohmMBgba6Pz+X5kYv//yL//yVwFqe2mQW1iBnuzyFw4U7LP5L4AtDekcL+v59gL0OEDwBUcbP6CB8XcN7XW4nHc3PLsNSIYtqsf2mpPLFtCVQPGTU1tdfHWOvnkKBMeHc6MixbHFIcZE31dXrzVgewNClZXqb+fW1u33Vt8YKx2qb32e9c7tUgn9wd/4cHqCY1Vn4lbvVM7No37QiVcH0FfoZ+nI7ML0o2UssvF9QgQZRJeuW29ARdWOhAm5Utk4rPKLv/iL7+ZJcLJBpDpN1RENBHNk9y6LuXMlQ9BF4mW//cE/+Affzb9qA8v2GpSlC+GUYesdu7ENCw+PWx5QHVV87v7mqfqtCT4JpZYNy/p2nXADKTChsQj6Nmii/+j3+7NsSaKP7JOH/l55qe4t7xVz7Zzxy6okm7yEfxoQFgSofLH7O34+T/W8PQlucM6cfyxObY0vhe15ojI0FPNaPe8bgauxJ3wIdqOvjX6YiGZzG+VtVqMM59ga7AK0TiIlVeCJeSroHPyejzZ9YRwGa5O5iZzQTMmsbeMrBk6phv6YcOsaCsStZSA0c94KFKztmpByLvfCQBhq51EWlD1lAnwptUOHGhbXAXJ37oIdUwDW4bVc+smJdO0GDhgIGZBmTAFP65m7iYII7sa4/0Tc1y/bh1e53jm8PNKABZBRYW1E0Pf1HUiSqfbMUrRlELpugzPDeQVorH+2rrN8f/m8zioeYnCvbPgfYFdiac66Pp6xYTi78YIx7noLMNihnK5oMOA2mzV1Z9CdU2OGx/SFIi24pjTR9To+/Ywf/SbrJtLL+Lecxu/lN/OHVs1sAMQCLwVNjYDvWvYIKOBggAo6aiDNP32FTrLZ+An9nwIwos8DPdZaKfkScGwAsfIA5PVxOE/HuV+Nad/xW4Mt9K51rwIk5qxgiu4TjFMSh1+B0s6/fl45EiQqqK5MmRPHCzQMlCjhtBlIg1x0yo7n/FzASKfVuUYjstPjaxvRwv0ayKWnm6Gr3ui81Mlv4IuD2qxUy1irMxuMIrf62Oc2u1ev0aBFbdTazb5x6gQHGrBoa/DHuftu+RE7dct6u+aQM9K5aoC0mznV4XP/6hRPHvCiZwDtm+Vgx13LBnRkf//doBnamGsVBN0IsbxTW2a5hwCrsn1jHn1awfYUSBCYunb16fNeO95mlZPfBhA53LU3xXNseQOu5e3iSM7lq+BQA170uqBfgxnoR1ewiV2vCU9xiPBgnX3z7XNlrvTB3+5LT92++89Yx9vWWsvwejVAgmcbBC3N64ztXGW9le0bNMIbHOAG1Dsf5UXj6H4IxY61wzDS5FJw0WPryKx57OaBrm3cAhKj0ejl/U//6T/9Vfwm8Ps+p7ZycHWnBAd+UFlkWU6dQzzl3vU3nM/RdPzvCV3Yosr45bkGONnR2pdWkTSI4Lt7cabXihkqe6rEek96qY9/LG+Udz4Wp7YTiAiNOIuY+p8BKahupKQGzfdG4up0XEapAJYBGl2/SqFZ296zCmStmehGODF+DZlWxVjm7u/uM0OxNZ7LZlV5y1pUUQGpE0hG08Jx743wcpKBQmWUFJh1zWuU3I6T2eRUU977vztX31KPCmxLotZfGR9ggUIhqHXe+riD7hYtyIH+F8CZA8a6aw05EI24AvrXwer8X55s5IiQVqGv6V+djBpkwKzguo5ywfZesp7WceBLNG5WqeDnKaPerGaDM5UD0biuV0XLW4Jbw9P3OhrjI7sOWit+ZaHfRVlFiFt+hPcKRlvGVUNiXlt+3HLf0rg8W70iGLT+2PSnwbI6ouihEoVjRhmjq1fXwLiOElzPAUc7xlv0sxnM0uXqZPNwS52vPkILjh9Hdi8PiG9p0o3gFuRULm/kvedVLvCAPhTMCW6gK1m1Scm9lxLjrlu+ur22qIEWfARQ7LOSaP0TrV8DFq4NU+K8BsxWXl5tunhlodmnOpb32Fc0b7+rO6p/8F/n4dqzOqiV/Y5L1QC51J/r1FbvKd9rJZfzq4c5aPR4g+TOqfPAab+6vNeuHtr3brhUmekGbvQC8NZ+NiNmnR8cQ/YAZ/NH13mx+QKxxSXliTq1XUtMX3LAnoLxdnplUyt75IdDD0COBrAF2spA7b8GSK9uWWM7Xjlovl/H+Kkkmv7luNaxKwYxH5eXbvCnGcNr5ys7xmDTMLxcR6xgvcFIutm9+r2bjJJNuvHSRauTo490kYbfGnQSMHT87Asb00AZvkBvup+eqj0RsG9wf78LfsCWrTC6471O7J2n2s5WyuF9OHF2cwmijce4XAMW2EtAave22VHnsTSzIeWWydmXBt/fjaLK9698isqoe3YdMr5e/8v31Vv9DS2Le6rrvjlPgjHmljPTKU1AmpP2uY4v327nCCD4v07tHXftbenFd3TtJjSKuQXvPhantk5hMz8cCtFEr+7wCPw0ktz2pBTbruGtMquCbAb1Oi9VGgX6ru3YOsvu5X6NoF5BbBnOjYp4Mb671gTmP//n//yuBIdTCyyvTbCWgbBj52g8AbbZ0gRugkAhMTqUXzOFT9G0NYZrv/3sz/7sO6dwjLrNrKwf2j0ZZfeqgjB+0cGV2HaNdCN1nAbz5bEGMmAtjWk5BWUr60mBciYYfHO812jHaW85TZXDU7vKqtmyZqM6z90VdU3Wr9uUMy4tcy+oMk+cZ/0TKS8Qp7yakUGH9rvGo1lTgNj6w64xd4/y082kMjB1JjkVG/t4pjsv3kyhNj5WNkTBKoWWaUMvkd4a0oKfbhS1wEoj7viC02kOx7/jE8Gfb//2b38rsbFz9lodhNHBY3TaZ4ETuzIr4wXQRT8LkgFbvKMSA9iVvXB9a4uXSZmc4Sv8cPVSdeiToTU2cmUsO3b3pi+qUxkb99xcAwScglsOuVbZazCLzIjEd9Olrhu6a2xqsPHojreum36T8e957AVZNJ9kihMFTJee+s0RaIZaENFu9nVq0cpeCt0YjW6ts9tgDj70XZBLH1oNc+Wr2aAbFPMf+1oH6kbba+f2ubuiCr7Q+eZadhZP1TZ2jXedbNU/nNrqEPyK1pu3XX/0tBSKPSvvO89nDrZ14+hUXUeP4sP+7jg6j8zTf92IsRiDDuBoknF21bwaI7qhDzsj2KgsWlBFUM6aS9lh+2tce6fSwLIkVTeCE2xyHbrpNEHoBrjads0mFHrfBgWqI/A7XYTn6JfK064hAWC+6cGL/XptrbaxgdHitwY9e05tR3EonhzNPUqwzkPtrnPgZrx1KzV6Tm2dqp02/RaoELAxV914T0DVGOjdp6QFvUHfcMzJtXna75PHXQMWLc+3ChNtBRPxTzGQigly61zJF+PxjFyVCWwCHusTDtY2f8MbZGdy24DmL/3SL73RbWttt7QPXVRMtt1g71rnid3q8gWVIXCNJ6Ys2YXvqmer169zCxfSs2uc/smt4J1AXYNHDTLgW3bCfNQxZSuHjVQomJva3+pb59+9fMwrvseLlp06X2XPx+LUAmJaI5hVKpRPS1Ip/gu8q3Q4RNfhvBGLGiXfG1Gt4OjnbQWJjQRd4LcGSFHyHHnX33+N7jYS2GxdsxH7fcK4NZ7KYgllM7V2OWYgKKYJ9YBbdwZl7Fq2WyDSiIldmTmH1qE2E2JdxATe7sEUlPP1bQB7RnMbOO1e28GYUrqZWAa3ikjGmQHtvDfrSLlThhSG/qwfAzZdMyzzaPzoS/jKh+bTHFIm5bECM/zQCGdLNlwfDZrdIktV8uWTC6QbmbtOK4di4+SYXaddZqWOqAi9qGyDLp2Dm1WqU4Nm42G0ND8tWdGHJ3kcH28NKGNZoIxOsl+7ZwHTzq0RUdUgw9fSb1lO2aLSD7hboGnH7NzPfe5z75xKEdouP3Df8tD4+qd+6qfegUSlRTVKMkzmUXSYHtl5AO+u1wyngNParltDi75k7QZwLqirDjCfsuUisA3UcIjcuyDHfcydoESd2gZAWtJNn3IogTty0zKnGmN0bTBhL6Xvu4Y1S7ItZEpmx/w1GwuM6DNjjAb0Flp1wz0OjjWCddzWr5XmL1goU0Ivuefm01zr8+5p7RI9IFsiuNdyd3K6ezvHuIyjWaWCaTxTPq997iNjBGzoV2NviR4+cf/yoaCByofqnTpLru9adaDYjwUKgMa1ZlQAO8HPtX2erWjpPL69z4Om/xocuI4+WfCcemVz9t5o0OlJv7fyhFx2rWzluOd3Qyvz1yxZQSndUCB+M18buzLJOvCWPdCT7lcHrI1euEGofh+uIP9ANUe6euoGQsg/G12nEj7oEoIG9gvcGxx9qjIxJ+QZ5mgVWAMedNLeZQ5rEy++3LU8Sx39ih9vIqZBKIGGtmK8BiPxs0RI7Re57Dy4RpNSpZFzSvdWEjV5QN6cI5DRwJCqjVbe1NbAXPQCvuoeEvQIXwTGMi/K+8nh7KoAo42KZEwtEVSyTG52nABbeVrfqm/MIWdTIESgff/NDqC7LC2fpLat1UfN1F+d8H/70I7v2OFx1968uy8ZNn8e6VN7y6cZjrdxbpNpMrOSA9XjDdTSUea9Og/fNMDcYKX+wWIfW6YWUzXyVgPUjAUD0ahbsxQVWOdU4dehQPQ6uBXglo8VAGKwKpPeQ5+rkI3HmG6UoM5NmZjybHaNMDQ7itnX3yl1JVzG2J0Fgdxd02YJrUHvpkoibUAgRVtAUmFnONG1Bgw4IcD7bdElgjOFwOCO6Zfl2nXdH5Prr77JSE0wbCrG0e0aQvS8USX/W0uBnhuHzYnKT3iPsuymTconbrtGh/JokKXBlTqPV/iqlO91nzIfrRioA1nHtq8bAW8/amTxLXroFwXY6oPb55uxrcwCMzV2HFyfS6vKT+XKJnMd85rIKllwDmMtC1Env5H1Gu3ScXx9ecxrIHGRyL2axQIgCuSqa1qq02glJU8HXD1UQN3+oHv1JkAwWnetrDlpdrdObWXq8mADNLvHdBJ96pEMHDQbrtW5uGt7q/fr1D4BGa8GCBpM6XXrEF9ZItuylfrdwF752zkNmFWvd47R3edubOfRZGQIj8og7B42XVtTKieLVv3MIXKtvab7nS9IxPb5n8Nu7HgbTVqGxnEHugUsyi/sS4Mo1VWi/taDtVqGI7bfzfvVXxcM26jm6rc6HmjciiM8INghE3Oz+WStckX3Ac/t195VSnSztvIcme0uyIJLHmPHqds9BeQa+Nz16OPdo/Sq/dLvOtEN/gPAnd/y5L4b65X3vmAyss+OX9un3w1qPrXK6dN8OKYYRv+bOdV/v8FX+tr7od2THXZ+57H2UbvBXPS+zoQ5uXtLOLa/l+fxdDGj32/W8ykAXLrdTK3+l34wmITJUzYYfdhOzhQ+614QdXDtt+Gc4mU68+Lkypl5LI/DvK7V341HwLp6ie2pY9hHzdTh7pKi9XOOPnna92ER1+p8dInJ5eX6EOV7dCJ37IdKtgYBGsxqcL8yjma3mb/f/JA/uwZ+Y+pmc3io/cW/Kv/smM12FU9wZAXEYfKrW+qgCtiVT2oXLk7UJzT5WDeKalRJu1FUgKaPZhEZFkW/ALlZU+9l7u6AJ7KDqGut+a5CuI7AWvuJYAXMXqIEBTadfOdRjjsHyNBvYL10xCQrgZBJGE2VP2gEftfrxillMCWMoqwcxEbe1o8KSZ85xfEeHTY3ngcm+2DMK8mY86oE2jzt2GV0N7973tceYr3x2EjHOge7PFKu3XrdWgVG1FzWwQI2qphFL3fNZUDwGNqbwxq1gt8LnDpHNcRAYh3Ga7QJ8L1WqwBaUtdgSoHMzUxXmZWH6+jUOaBgml2lGAuGqlCU1wDXtywLnT3SwUvfb/TPepXuLlu61nFdk2mpzJIFPHKrKWQWOA/0x3iPbml0kyz0OcYAWnXQ+r6yo8lto+sNXlxwXsAKpFl3YrMvjkCDC+iBpy6gYfy6MZzzx9ebj41fNk+AyMYZDRRV99ymz6PBMuZ7rQR7+smcL6j1oz/6o2+7o3O0WjJffqK3bumucTZLYJz4z1jItbGbn/IQh2rGd/qJ3p1jzvGbbrKubOfInNMPnUvBQWMGaqqzrBEnDzXugoSj/0rXAQA2ajpqmwJymNBp1+AYKRfc//hG1ZNsJvm0ccloRvd0QxSApDanL/rUxjFK1tavZirxHL7bPWxAQ5/2MWWqlgCs9qEOgPmsTvNZxUnBN+eGjHCK1+fpD4HOq4MbWKevWw5X52Dz15LGjr0VCBuv59fa7b9VGZa8bDw2r2GvgeryBkxTQFunln417zLCBbIFxuYbSBZorp4yF/QEZxa2Mo87XxCGvgeSi4Pa4A/t/r/W7CGAv9ZgAxk0B7Up1SFstO91HOtskXl6qNnOZuEbeMND+IhDhWebqa0N1he67Aau16o/63hzXGoTLn3vo5XwWJ3BYsHuUYJerbyojPjN/goXC6A5O9Pkjfs2WF4nBk0Fc/QVzYqP8L4qDP2GKyenTVBtjPpdRw4vrE/0nk3bjGHX4Gfsnrt2+Uq287YGO5ql1Pcub1jfZhumr7pLftfykm0ZXgEp1ysOa7Dlt/IIxtkFFZZ9soT+okcdd0k1G0fuiQI24sK/9t+or8ZWsJ2t+mk1W/VAMUMTonQM3XKrnb7hz6lt5FzHMHGV/t6n8CnPW85jEil1k9LnNHHyEHKvgkZKZK9N4IgwZ8vaqCqBKoVGoVrm6DhjwKQmvwZov1snyRFpxs056MBYYECRtjEL4ZdB7ZratQlzoxxdB0aoC5IofuDDOyBa46gvxomZCBsQsXGvtJiQAXl7l3ngKP7ET/zEOxBm7Zi+mrddc1kf/RyN+vBuO9Ap4VrWbGCQQHOSC96NZUpKlm0vQGNt/20tsx2mt+4XmNRqIBmXRm33exW2yLDPFMQ+y2ZsPBRaNw7abwC4VgNkbK7dSHpLNlsO0lLXOgwMBtAr+7PzbGXvIed7GUsdotF8/QWCR+c+wgsoBeomz3j2Rs8bIbdGBi2NrxsvkV2ZD8EcUdau36ajzJ8+NSNUfVWgIeL4lPFx7i1B9Fn/RhdBk90fD6ycZzTmrHQvgrVGmelI5ZCyUfQnfvBIsGYvXLelvdehbXDB/I2W2yl999l/6y89ubmcvHRDJsCngaMGBS8NxzucEGWz5pjzzfnfZxmz2pBGv0XAAQG8tH7vNVrSM2vTF3SpHcj1u3IyZ75AVea1S0MAh71vfle2zhmcTvzu7/7uN/23c/cc7TUBA6CkdkIQmI4u/yi5bzUT+reiCQ/RVd0Bs63VK901V0ke/XN3pWRfyExtTYNveI+8NEjR3cQFPvZfy9hb8kyHySCM5gCYsZmzvaa7nta9OY4eqH1Xos0+Lfhgfd7mVrBhOnL8JBsrS8Ge6dd4RaZk95rcbKmRR7mQ0TXOL71HhlrGX7vCRvZRVXCVzLElOWz/7r9H/+1aGw+Z2msyadnJxq5Sgx2sY9dlAc2eNWCoNdtbnYMnNt7Rw8s6+GZ70EHg334C9CXHRNWEwIDgJpluJlA/8Gv71N2KBWcu8Canxamu2cTPXt0zQbKifEYmyGTXTpKNBgRLw2KGa59cY+OfTNvZXwUGufc8b8kNeGDH2BNi78Nnxf7VW/SCyh5OlAbv0TfNNl4HnB3Sf0vibGIooAFLSpBZs2q5D5nZ9ewwPr2rX7vOgqDuOUxYmeAr0Pfmms160i14tk58nW3/D0ezseRVkHBOJF5vYKsVCbuuwCebqH//24cbwXZPD/YWnzVZ0cAzORbY/8mf/Mm332Btj0TipBdTwJQN0Oz/jXE62fIyeqXJkwacOkayUXn/WDK1dWxNdqMwJRhPncITPdlgKCcbHDBslMjOlclzb4LULEeztgjV4xHoEuyCL07RdUpaPr2+zmAyQKuHF6ntRg/7v8Kw1swe2nFsjUnZWKNvrkeZMDBVlAx1S9EoXoZ3/fQcLECYEwqIATKNxlZhMdb7PAcTOFGySPkNTFapNiLciCdwrN+ARiNlMn5A0ZQwp96zfZVxiETtNdqYu9GI8fdiQPZswvHi0zbtjcYy7vjmltU0ss3x3/v4Zc+I2+tv/a2/9aa0bE6yY9a3Re1qMG9GEhjrPY3DXDEanPGuv0ETfH8dwDWRN+uoZRRlmszzFJt7eATMDIbnOet3gVcjsTezrQFL5KIZdEqdw9cIfMcje9J1JZyZBsbMD4er/V7rxg14gK4pEH7Sj/ibwWqGhJzuOnigRo+DViXPuZls9dEFZICO7NIM9HsqfWtgAZ91LV4zQQ1QcmqnQ2xq5p7NDl69aux1uGRn6rg3OOQ4+lEmh0NKfwh66oNqg8k+0Kn/O373naztmpP3L33pS++cyf0vCy7j7dmK43n3Q0/v1dH06+Zl9+dk7TdOrewCmXS+vjYLgg70foFh5eTa3QIg5Vs3OKW5Jt2xc4GYLmXBP5uzBkzM7dUnxQS9t/lodrzBaddkz/Wpx6I3XvM7x4YeuLJZ+XQefHHX9Aqkra/T2dN145l9tmmjoAbdJeiuUmKfYQZZkzoqSh3NgfMrQ7AHHdhAl3kT0ByNBHA2ht1Ptgc9OCLjabKFXznV1o+O/6tXivE6V8Vol+Y3kKmRIZijGEb1QfcomU2SETd37qeSxZo/Af/rHDuvrU7t7ZtM+vpVe8ZWVic0A25/ko1hGJHt5Xyvb9MLKgFaudDAeGWULS4eqTN1+RyGbkCogWUVdvZsQWfyjOYSDeN54xOEcN0mI+hR63Y5iN3sUL/rCJb2KrDISJNF5MGmSyqZ9j//YlVWnO31E2bc//SaJTW7xvDqfhfIqi1stRvdcbOGDTo88VfnD/26HGF8Mny4fq+vw7x7LSBqvTz91AC1QGAx1Tel4os9oSvwWLFU7TS912BZEyqtADKPuzZfzvnsYHXQZHN9nTwIHJijOu2lX3X/x+bUXpB8J/VOIoEFjDmwU/KLkniO6X6nXEXPxnADIBSBzRYIhqym6JLJZcAr7E/OLafVhBI61zEO5cfr45hupXdA4Hd913e9jWOTCNgTnkVlMYRxYUSKA2jTv25i0b5TUF17CnjsJQM42q4/o6+yJM7j+ri+y34sMsXYrnXRfGlkvY+o9QR/WahFm5optN5u99875qcgzBXw1udgAqCcdbvg7ngg2rqpZYEZktHbA7LXL9EviosgrD+ifJQ5h2c0EdEqzW827gLCRk1Fzyl2fcbfi5Lvt7//9//+O6eR07C5WLk2pbG+2uDkOqeUgf8KfFpKXWcOyCoA5zwzEHutf7IIU/Iy5KP7+q8aYP2fYto1N7bRdbw/fli5qnsonxGkapnhU6S5QQ9KW7S8a18aHTdOIMLGNTZ92LGWP4guNuCjYkGWRt/2Go+PDzvvdUL6fvmBU0vH1CgZC8BUsF/w5SXQYP4H2kZvazO7Hu3JgW1VTfu5Bszs3tZ4rl+yO2iID/fbQP36M5pNV+x45Wl0bwNirShohsrGFWs3EMqhlDneOGccx590dMEm3tkx5snaVGNY232/8zu/821ux+Pb6X3XAspsNrfjp0MWWZZls3vy/gNKuodDAxXsxZ5xuL5zjte6yQbwQWY5fMpu6SA8suPpDTJT26Y6BgjYf8pPzT3eKCiuM6waAODu0gZ6XsBwdBNJNx+t+GnmnvNmkzZ0ZiM3ltEKqMQX/mOf0VufjY1+GO3IS9tTv2p/7W9RuuDr8YklOdOTC4QC35MH2IWt3Ofpjs37jpc5lkHqBof0Of3UZ1/foMydZ9jFI0c42Wvj32GQgWXl8tVxs3ubaxkU1XI7b2Maj++aMnyqV0p3Tm15rM2x5bnqJk5PExqj1+zm+k3e1r7whS+8k2mypwKGPoTVbGbTwAhcWb64gVV9ptsL6FWPrA+7Z+kvQwyjbAzTL9sscBhx8zUe2PXWz/Xvs5/97LvMPZ4hY2TjZoGNpX19csg5v3UUSme8JtGB57th1eT5R37kR97p8MkAOZmt57hKyqhIY1c5suZkxzfoeQNexSdwDltKp9GXo+f43Hg+9alPvZ3Hto+3ZffW1+EU+Gy0n5wPq+CZ8RqeskM43q5NZc+fyo9vMLFYooE3lRECdxvf7j/6Lsg6/Cdw9uf//J9/+7z+rz/DXWjOhnSfD/38vWdHcraFrjM2vNXkFTkk32RAtQQbT5/Tj3tXyv2Vr3zlnT6wZ5DqP3pepWRtz/UjjQtPfqzlxy3tLXPWAMuMTGiUk06IOKwT+k3mJg8wYaStNbUrGQEUhQOKlEk1gswovCJCoyqyBu7H8WbALCyn9Pd7nfY5WM0Eic6urytF23U3hjlcSiAAvK519V7Br3AAT7v+mMRW5ph3oGvMv9doCgTsvrvmxrFjRktGcEI9pbv5kU1bv3aPn/mZn3nnbHlcz+Zp91ugYde1/lHfuzPy6GLtwRxNSh+ABJqbydoxrjslxdHwqKAd+3M/93PvmL0ASeR5ysxjWPZan3b86GWXyx0/ZT0azKisKXH88pe//I7PCX+DChyzKowJ764NuMi+ya7u8/o0hfSv/tW/eufkbx53zPrwJ//kn3znNEzg5/Qy5rufEqaNYzSSFapB6DofDi5w3QitbN/OW3mJY7dt/eZ7QQm/cyb+9b/+1x983/d931s55a4zg/zpT3/6rY//7t/9u7d5+S//5b988Lf/9t9+mz+OsMheo9AFFc3sXPk09kb0uyaJYzrjNb5Xvg58AB34jOJupYI1XH0MgLU7n/nMZ974EK/pT7Of+gsgt+/KnsxVo/mWHeBPhhKtOlbXMnebj0bd69Re/dtsxlMUWfm79foMix3QBUBkT0bX6Zcd8/nPf/6Dv/AX/sLbNZaF/PEf//E3me9SDABztNz1FxQcX7RqhFEGtnbf6ayBwenkjbf8Q1ehC6dxfAdwjh8cRx5UpAjCVL4AbPScLpi8Th7GZ9NnKmBk0zgbjud8Tw8IFI1W0y27lmapRgGm6yo3W2MPdz3Abu8qPFR0CA4aJzAhI9ySTpFxckiXyc6OhusruuOzNfff+d2lmw2y+2hL3vEhOo2GSv5KP/qVDVnjwCjTZ0dkcQBctp9jMLlSut6G3uhDtmRM9Fl/x6d7ze6Nt+0EPBqNv9Bs19v33W82Z/e3yZxAy+ZiOpI8cRj1ES/u3bj3akk3gF8dRn+MLkDn2u65eZyNl6nfnA40j1csC3Pd2ZQB0ckOvLV5Wp+/93u/9x0/wCFoVF14Qf3awG4DOA0AwXDrp6zbcMfOaaCUrPzwD//wuyBXs13W+hvj5GWt63/hPc4RoA5DNEipvFQfBRTGgyo2dv6OWR9mkzfXAkKC/dY2778+MkoWboGR4Up4Z/wt44yu9FyzY9XvtUOacdcR5DBz7pXS65Og3a755/7cn3vr8875D//hP7xhk7/xN/7GB9///d//dk37Okw3bu523enHYiFBOc+FJceCywLSaN7gnnGhwd4Fcn/sx37s3cZ0dOv68pf+0l96w37zKTZPC1xub5fx9D7LSq6/G+d+HwZcOf5kePw/XodBx0fo2Ax5g0tPmKX2ljx7bRz6y/EfTf77f//vH/zH//gf3+i2+40vJnubk/GEwJ9lmaq2duyuZx8BTvlvpfKsFSESH+htbHjbGOlH1QRdZuJYWGXXGi8Nr45u+w6PW5qon7vG9uPYOCYjw5B3Twk8pLHNfIGPzan1Kli6RlJ5wIDLmE9GTuRvwkyRM4YElJLdwMeEytT2atkWI6YUT2bpCdg9RQAmWF0j6VhrEGQ//TdGWZ9k/FxLllEG00SriR+Dup8Jvoxl3ABEMytVSt3ZlMM0Bh9TzbAuyrO+KMudw9S1a6M9J3KKaAZg91bexxiKcikb6IYR+l5l2tLSRtm63gIQrFNovEoGd//RcP1fefP6PQU0wW3ZnQxG108TvvVZ+bMNACacG7/SIEZr45aNqbJq6WYNXp0tPMmJojCUhNtUZnMnu8IoiW7jc2AO8Nr49YnhAWI8r4+zr11lWvDGwWDIRVFHv9F342CMZ4j2eUp+v4+XgY+Bto11x3gG3+ZmfDSaj9fXD9vhk506tE/Zzacx4KsbOcdnopQUbNefaWSLw9I+oLVA2H5z/vhlNBgv6sdT//x2f8cnu8fmS2XHBSTmhSNtGYaNe0TsLWXopiqOuWO7tLx963f92twpi2N8mwWwjglwtW7ecUB9gSRgt/GPjvs8B2HAUPk3HmopqSwB44leV4cXqJoDzqQSYNflKIzG9J5lMM0I7BoCOTtWcKnPm7zHC5asdfx08+7V9WUqjsgivdax+U3EHL1UWDh+1+aI4DNgVgDVWijXVNmD32U1pweVFd7sbLNFLQXW5waIgauu/7VUZNe1e3ZpKLCkGgQPNDCoisnxeJ0NxQ/Wjl0HC+/rK96BPdhYpa9zrgYwVd2sjY+XPZEhHO3GK7Kcdl+GITY+dm1NUBqYa1YYfbuGE3+oSmspcjHQ5pQD3AA6WZYdtIRBQLzrDWGX4TWZ2I1rdKB78EYz/c3wXF2zc81FHVo4cDZFhnA8MVu0sc+mLGg6PWzTKpVXe1nHDjSzueNhwc2NdTocnZt4AaSbbX2qHlJRYJOeVhLJylojLhi59zkjO4/+cN/9Llg4PjCfKkbwx8ZfW4VvGzx9ZXvuMp72q8ERulYwbW32fX3c/fGGzKegL7n0tIIdI9C5+6lKkpWGAZ+ys9XlGl0z+koSCeKMz+HqOukcQksALGcZT1gewO8YT+23JTCUHdungo0o7a6zWtyq3THcbDrHVJJkfZwtnG75b//tv731h81kh/cSNBRcaWJMdZplBHDD703A++pr+tY4BBZ9lyxAb5Vl1it3N2Trp8mmzTD7TGRB+FWFrk/T/eP13WP/TT5hMQ44vkR7fSl9v+Hlxzcd33KglvgY4AYiQzjA4CHgBFqJYhWlzTRkYpV1UqgEteW4VZxlqksM/zXl7b51apXhMVj7DuwSbKBghJ+CVts/YRQ9ZPxEU0uzKp862TXIjpMR6GZLrr+ojjJuZSFTTCJue/lPFmbnAKJKryjUzZsMl7WyBTCvSngaZWtpWMerlp5ipLREsTiC45EpK2sGGfcq6vHIxkqZKrPyOAkKaPNhQw99FxAZjVqu+yYUHwrZHWudd1lnDquMuozHeIgzvrlZn/DZ2u69oMOc91Y97H/PU7Pej2w0c+K3Gr3KHyd/DQiqYUTjRTStu5LNGl3HH7vGFO6O22/j/R0LMHX9zN49z1jp1/uM7yv9UmMHxKD5NdYUd+lg/lxDqY3fC9iBQpFETu1+23jtWFqn9gbMrp7pb4IH9AJlbSz4c/ck0/td5UDXgpZnZXmd88px/Siao+109MCMkkpl3oxeAen6tvfJpuzTeKc8oeSsG1SgfddIcRBvwFEwR8kmRwStBDAY3P7GcAPBjCIHdI5Kd6jVN47wZHZ6ftdSmtcNXlph07GsNcOydwGvOrUFnQWX5eGWnlqbx2mhAwGb/ee5tq4lW2qJyuZKplUGmF5TWQLEml86pYHXa/vrTOJzgZFmNZS57j+PhUM/wVqOFydGKWQda+u4ZVefZK+b1j3JRPWGeXPNNRusLEBnUzfzPt22DIOqoQE0myzBNxxkIA9dzQXnvpUeXnDTLXekA1p2jI+Ax7X9z+brE/1mh3j4SVadLtk4dn/VaDt2PLeAlYC3MmfzwdlD16tvZkOMtZnavU/OuhZy9528qdaag7U+C/7td6XUNuDaeFWtbRw7fvcc70ynbT6aDaqtrOx5bzBB1nxNMJ7+ghPJUTPRO3f9Xx9VmTh+Y0C/4UVrtScT9IXlB3i4dh3OKF69NOe0+w8eo1c6XjIFC8/mWZcs6L1j59Q2OCBQrHrMRo37j/2AVzlTr1r1f/XK7jc6wv/woiRN53FzLZtXHbhxrF+W1VneMJmeU9nNCGU5Lf2q7mvfnioS8E4xwdWRLWXffWeHpl9GW3aBfR1N+UT4TECSA87uqfKBg3/fhw4xm1Zd06RQl54ZA/1DVgTA2Es2yXIl8zvZUyELE9aptUHUjhEkU4mLzyuj9ImgXgOo33CnloGpAqN0fOcgqPte523AIRK7/zcJi8ZN0GUMKGnCqJZ8n0ecPlevTLaGOEoJr+BQAnc8jQgAYoClUo1mCVfOwOGQ0aQcRNY3hiktz7piVLoxgCjqNf7rQxeic9qVtynFWJ/XN4vLKYHdd44So8Go7ZyVlYo6K1HQdp6dbGdQlPI51k5z1jiXtms1CgUh6wMFtP5vjFNCU/qbe+cap2jZ7rc+fe5zn3uLeJbHRPbtIrpmDWufmaj0feMZ7RkOynffbQffjUU4O4xUHWRKiqDvGsrJBETQa3T/i3/xL77b9XZ0oTRkxdf/9dt6HX1HW9EyMjHatZyScanDLuJWJboGGJV+Kw0dfRcxXD/W//HPAMTot76v1HRgTpmU64zvRofdf9E4mRKy2T6Rvycw+qriA+0r43hPUMH30UJgo2tFBYsAhD5+QJDAmncyLluHt1pCzahfRVvH1xgZRtUZAjrrg8oTjuD6rRy6z90lf5wzu06Tl0Zlr6NdB/yp7X/AVCBs45adUNWw4xhUDrmN5nbu9PhKuayFozc4X0pONwaPSTIuDmB5YGNSum4XbgBKIJSNoXOtAdq1+mgQekkpuA1kdp/pO2ufNy7fR//93/W46zejXntSEAPI0ad2n53sawWH5VEyDFgJaFkeIvBHdsejO9a8cL6s55ycbjwbtzXme1dCC4wCaDtHqWeDlJW/6nq/mZvphl2Xs7H7CVru982JebBZHqfBemkBxr1s4qIaQxUDfifP+kNXy5zVRpXu9Oh12JV6b64W6Fsp7Ma2+dzSDDvtj85/82/+zbdMDz1r7lfuOx3ETgiu2PlfpqWg+GbOnNegd4MnlfPSAGaZTZUd46DunsMtmwcVEB4HBgzvXcnhgCdbpJwfjQTWygf47q41nK0i2+UhDtrscisz8GuxiR32/97f+3tvS7r+7b/9t+/sLSC8MZsbmWxLT9gNvArQ6xcZbIYIvutTOVRKCaA5h8Nr3fz6MNlaee7f+Tt/541P5mgb52wr2eWgyLRLgOxem4cdV0e8+ONWOWkSNZw0Ng8P6X/H5D5rmwd4cUuO4Mv1xznKc3ct6yTHS7u+6jnBKf3eGOEYTnkr/urMwih/5s/8mQ+++MUvvtkUwR6PsFOZuT6sjxJllgr6vmutv+MRema6edcYnwuUCfjhA75Is/k+1zbXxrRxuPEwvhpPbjnDbOXmmrO9/0bnJTrWzyUQBIp3rY2X/8DxNb5X2fnf8yE2ZGcrg30CR6uFWukGx6INm8ZxFajDa+vL6L/zVLTu/On69W9yTCaHCTi21tdyivE7nlCl9LE+p3at5TP9j0JmXGSAunZq/yt5aEkKw2SSlAdxNg2Ug8HJ7vborzIXBdoFIs6p09SIz019Y5gqygojxgeCZIvQQ+mgaLp7lxZVWLJgMpnKrfugd2WpE1QbVHCg+pzdKQmbInGuCQOHYWPu41oWURJJZ3S63k+rA2L+9nmgjPNZQC6612iRkjv93bEDFANMLReqM4cfjIcA2LikmVtZOOPFq2ivFVw32oZ/OCR4pZUKAjhr+qEkiXJhDGTDRasZm2Ze8YPKAQ52s2rAXg0Gx4sRwwt43DxtTvWHwz9lK0M+haukzdo9c3af96kcyS597tPMKX3hP02wpODO5zs/F/hR9OSHo0Au6RDGXlCpUcLOpWwK0EQv3X6gc/tUndNryi5VZ3GeOCycXJkX+qE6rP1uaZE+3Pv3M5pqnEfrCZvBU2omSAcAo4OgpT7JllgjZ+7MhevYUGd8wxial86FdVnm0O6UHEXGWIWKMl/n0HuCTkBYbYFxkDUR7msfdiwZE3g034ILdNj6uN8GXm0I0iBlHamn/gIwaGYdvfnBO+PRAR+PapNxVWkxcGQ3+PVzvwFAAsN7Tf53//1P31WXe92qFfQid+srB2nXkCWRCUHn0UQmXBVA1+HaZ0HpHV7hoAmU1Fm6Qfb932e9t5EXfGu8Hm+i3Hjzx+YKErMxdlFdIEcVEz4TTEFr+ru2+wL5BsLI57WvxRblpa55hovMQXek9nSAlvZzUGET/dhxNtwTLFHlAK90aQaerD73X52y6qMmSGTyrY3e+5YJqDZTobFjtsZzTg5dqkR115ndKj2aBSR3+lMHqxV0zqMjusvxDSaQDQEo91Ueu754jIw1wHCZ7B3a1ZYq4aT3WjlRGl+6rt3sbjPK+JyN2f+y2cZtE6zxSANnHb+sv82amt2zaZdz9KUbBhafGEfl1/uuZROoBQborPUfD2/OrRF3zoJLdxNEyxiVI0+nkqX9Nz3KYa5vgW7sOPt1dUrnCHaE1fCgaoR9Xx9tsmc8ll54Kkw3lqQfb9Afz7BL/48Pnf+9YG00r55QqYFfn/QRP41emSxa/tbkJn4QOJF82Rj2nwCBSgCY1L4o3SultlV/4dePxamtMF1l1d8wJSAu8g+0F7BW0VAwzgVSqwBNmImu0FaYKzC3LKDjcK3+VoNSx6bCCKgaA6aj6JQ0ooV+cmgJeIX49n2NkugGGZQOZQIge6FHy9X2GlN1nUGBbEsTCvztDOeRGqLvxtboPYFx/q47BV1H2PX3H0BQ8CT6RDFMCBrM8B+h42Bx5hggwBcYKC3qzOOB0rzX1zrOgiZzKCgiutdIE0eEoyerzyCK+OKvltL3c2WmvK8PdVjb75aa1JHYtZUP1zj12pytzbvod9fLodfOt6FVqymeopiXpmucmmYj/F+ZuL+7dzMzNSTVG+hGHiuDdTgFLG5A447j6beOq7qw8kLe9LmVCvqGz3yu3qkOvHr362l4ozzkuq3OAH67blNf2l860YZ3+FxmwzjwYqPLAD9Z6nOyOXGMaoM0zrc8hczu+uikeqDBjicDXmfDddmDa4u0OyfWmyvXvM4gmSjvKsN2j+lnAUbySfcLDKiA6aZ7dLgdPl3XcwIb8BI0bBVV9ezl+X5vwFcAhrNJXwE/a3WYAHU6uXbPNckLfV79SKYbtKvcA/K3Eqn6QD/cB7BTHSDoKps9WnqyAf5RSdQAryozNO5SBxmT2pSLodjQNsc0Y3QDZpX/BvCKWcwV27xxFgOwiYAzPb7xs6N1CgRs2NMdL/N++371kzHDCMVF6KOkfsfa6HFjsaSngYTySJMtV+5uoBgtm5gpDtKXykTl3bl4uXuGmHsO7XU29YMdXoNRBBQB/rU6Teb1Se+Xp4ofGkhoQJ8M4ocuH4Fhuz8BjLPWTB/ek4DR7zpkrSx4Zbf6XZm23XPZRLZS0GG8IjAj0NEMPD5H1zXrl3f8+Iv9aODpypcAzA0kVMcXJwrINXC5sYxGKlhVStlziM1sZQr6VQebjyZ62PPfPMthanP0sRiojnvHwIfAf2hTG0qvdLkb+YAZ7lpfSzzWYHrn3aSkMTUw/LE4tb3xU7SIYbGlt6hsHyNCgFoO0bS/8ysUBdsI5f/e+zrdVQJ1fgHM/S6TQvgLvOwMR+m4pzLgTgAFqC+l2V59dAZBo9guU7UUUiZu/1lHJdpaIW+QoCUH67c1U8rEGlVSxsdgu6bS5x0zQWyZXAWs69qUJew6jNGURjMTdpquEKLZjYoWNOKVHt//fbfWwJq0KUUgmHIFgm5gg/Lv+rk6KpyQpz5XaRckFCAr5fCIh2ZvbvatyqlGudm6Ouhkr2tlGHwOAkVIiSslEZXv2jhOXh0OfbEhjPtaHmCNlrKeKqsrLxoeo7zIUQ1fFfmdf3Su095jCmbqwPreQA7j4v5V+L3mK3BRvip/1UHC383MjH41WHUy0a+ZW7x2HafraBfgtZ8MaNdv0buWTKxEkFxznBhr96YvtTol5Al/MJQNnggSGZudZhn7RbUnL0qb2p862/rTQKT7Ky0zPxyzrvdqNUiDqsCh4FSXv3RjH8EfWWv6o23HKq/zX0GXCggZGhu46Q+ZxKf6a1MXwKkyYmfKHW89GueyAa4GN+kz/F0n0+Yy+03JsuyUfjbDABwbX2ndbGlBPRBVpwH/0pn62blEK0GR0h0gx2vdXM4GNPZCsP5OcAdgvrSRXdEPgTnnoUMf61QZFSAmU5dfzPmrQN0aoFl7Xyyg7HE8uXM4HDBV+cpypf2nNJ8dXVWEJ1oA5nQ+TNbWyovK43WO6G/8Qldb125pkazmdIFg8G115ArY8bj1xg3MoDndxHb3cYmjX4N51RGygrVD9JggPH1gjnwG6vENGVhz3dqRa2uegqrGUF0FFzTAB4cLMsHR7JJAg7W11Ztk2DwIHgpqkjE6sc9SroNeOb52fuOwg7dHIXZsMOuygoIfgnn1C3pfumTvs2+ys+2TDKnGxsHAymUvz6HL3gUl6DuBgb2vao8+ca0dNx6hu/ca3/NzBBv8Z7O94ohWLP5vSaLUtzK/ZEEApjLSij62vHiML+R4ds41d3+bhK1ZkgdXWfqgvN/mo/SRRChek6T6WDeKegJ4FbgbDatjudY1DZRPBZQxKcik0FqGVWFvtO06BX7vOADud4TIs6kYkUYzKQEloJjkRrPXqqxvhL9Z5dKoILtN+ef+s6GP3f84qC3JsyaCYa8j3wimEjdAo8AGCN3/lJRszY0YduwiKoR/5289jjm3trPgQCvApHQaWUSrGnDZmGYf0L3ZJs6b5/XWcepYnwwjfqlxBFaqVPAYxVleQ5vOrUgWZdfNodCDwmk5TEHI3tGtzg4FSwGJTlLYXRe05hEm1qPakILsWmfI+emOw5xeWXw8YuO0Gsr3yaRnRD5tDHDl617DXHi/Tm91k9cF4N10qWtM6ow3Qunzjfp3TNVJ5SNjuZkE82lOqycaVHl6fVR7oiEHSilanf0L9Gwa5hr0R4NnaMPgNbqPTxp8uzrePTk6a+M5z3OkV9tX63w92kaAgmPUcsy1ZlnMUfvfoGfl7jpr+J/B3bkyMgx7Ay5aA57VLzJ+3Qxm58r2NnDGFlX+u1FWeVGfy48NZrXh+UsPtnDX97gsrQE2a37JIdvZ4GArPMxBHTp9oAcFPa1LX2sgwS6h+Ew1yuxPG3tgbbbAJ9253z16qhUc6HedH8GYrrFW6oh2SujxdOVB/6s79h99WSfZelX2sYEw+q5ZJGDQ3iX7PPnAD3jTuASb8VmrzGq/2AiBDY+3oj+ahUbz+5tmSVOzrPiHY11HqOtlPQuaHAD07gn7VJbtZUBmmnntYyDrhONpDoJdajv/DVrf4HUDwA2g0un6Xme6fNDsplcxxw3G33aDnbA22YRlylvV1+i6/xwDO3CSzZd7NZO6Y2CC0um26kIN/Xat8d1K/e2jwFnv7vkSBJ7yUb1dm1p+tMmYIA76NzBxm8xjGz3hMxmt/rVxlQQBnaFqYt+Ny7I1c9JHV7ou3lszH7vX/+XDDfe6L0QDSMUMdI2KU7xY34B+2IsTulZHuMEbcix505JxdkHG114m5I4uu9iveOBjy9RqF3yWORkAAshAFozXeLa1bKcR6maPCuQK7C7QewWE9cExVeIFMJSSCFo3lXFega5rV+nUQJY+pUsNZ/u8+4muiaDsfxEw6/8WuRG94fzc3VEJSQMNXq8Uc7ONAOLT/DeStyYC5rFB7i+iX6DZz43Ml26dt85rAerTWJvh2rG2fwc2q8wuj1xnFZ1cqxnlOkt1kK8T43sBJMGu4+saLUutwtWPOj9PMuEejVA2ulfHtZs7VH4qq5Qh43vLmfVTySR6vDJo5XNKrTJynbEnfaM/gMnl0c5jaXcDTqWXY8tvd919M67tV/n56p/La1dv6Xt1SI8pT7VdR+Hp//tfgVJpU56tTjNHaMVgAkAXtMtIlPalh+tUD9KFd0dx1+lSAgZPdtRmb3iiEWt0rANdh/ypAoDcNeBI9vXP+mFR8jrSpalGzhnqy8O1AZdXBMxuf6s7ZGY677VV9zEkT/JVe9h+A7RoXFn1G9BpLNW/eEKQzX/Ntl5+rqw2ENFy3PYbQLrA03W6NKYBQpklfGNsdQKvrSyOKN+jefmOjFw5lekz9ps0eAL8aFA5rf2BV5pBurau+q/2pX249+ZoWYNavffKMXlq7q86odl5/GMpFacNdrhYpfNbHuRoV4bqTJbHza8gOV4sPfdZP3sftLsOq3u6Nt13MWCPr355SoJcer/CLZdG/Y4n6hzDEcVvl98vBmsCpHj8YvfuHXN5pH3ob5XzHb+53NKTBarY4TVBgQbyWvnZ63uVvwRO9LmyoS+9jvG9cszvfDiOTinO73zWB6puw/flu/pDjq8D+Qc+dLrZ6vJV7du1608bMemb8+vItu9ezqmMVEfhpfJXE1jl1Xv/r6f9tpzatgvOykyEQDlRs1GXIAXABZ1KYgvyygxPzrR2mZtCqpGhyK7i4UjXaSNINcb6/kbUDwXkGuTLxBiA8mzWRyOEpcuOncO4zMAEfb/Z2XKRVCU2jRRfJ7yABv3aX/3g1BasoXMFkfCZT5F1mzrczWeM4zK+42p4GGX96bxeQ+J4mQzZINle4AKQoXBb3nCBxwX8aNToVuemNK2Sq9NHicj0GHN5BahHpx3bzHLB4pULfS5vuod+mq8dO34SYWtZ2r4DoddpBKJLN/eV3VVS3ODE1Rn4vDLkOk8lZk/0dezNBNU4o9eTU2us15Ar/ekaHVkX5/Zel+5XF/mvNLhOxOWb69S+clx7/Ktj+jvnptlBdKpM420OkdK0Oid1NpW+t1ypjltpJNtyjSz6TsfR+8rd+ugewGm8u/JIeg7gtD6yQKsgrIa5GWYOcB2bApHqQX2SHar+v+BbxhNAYIvwINlDR+ME7u76wd6jG8c59+52usof9+Cc3OBy3/GqawlkmPNrr3ZdFRo30KEJPgDt+tjyxpYbm+PaHOs8K0u9V7PjZOpWZNRhlVHSzz7Kio4roO78t994pOWpxRPVRa6PtmiCpu9zXIz1ZurQ3TFPjl7B+XVqrz1zPnnAg6p0ro1s04+rdxwrQVBgS2ZblUTHXF1+71lHk54qnbumrzq2ARc0uDjUueRK//peh7FjLSYpD2i1QeXRyze93vv0PHxXHNdrFX+SC7q1+w601X43ONTNHQVy0FwwsoGB6t3ql6cASB3J4ZPtKK2Unt7AOx1T9XiDU/TI9JM9D+jC2vzqtOujdKlj5xj/teGfViQ1AElG21dZz1bD0TmSBF1Cxj54HOb//mGya8dZp9skDLriYXaDLWhQo/3bZ1V+V++z7TcwojX4WnyLh6qnOOjw/02yfCxO7avoG0L0HUHLwBXoJ8ZupKbO3pPD5zuGvMriKpf2qZOG2Birwt5o5y3PwiiX8RnMToS+df2wiavjv9ZF0cDkjrPGF/PWSInQ2EWNM96+1UjW8XGfGrn91wgqA1ODh8E5Pt2YSbnhlAeAwCmtkWwUq3NZEOk+yiJKm5YI3siVueLk73jlRHvfznrmVWn0WrMAxmq+0aGguo5Sv1/a1kBVKd/oX52/nnMXy/vvZr7L842wypIAv4IFO3f92C6fdtXujqR1xM0hAFIDyEnedw4Tp+lGudG58lFwjZ4dS4+vg3F/e3II3QPPF5BR8NURjZTbD8DGZsY+x/1ujIUnroFz//LXncurP57OXbtOwvvAzRNPaIt+r6+rplizJhMNyKZzyDWD1MBcHaiWSQoeGmMBpGBOqyp2jGeU2vG4OqN6svZCgEqJbA1w54Yedf4FRBcs4/3qnZ5DJnfvPq6oclKam3trmWsj3W+/y0p1Z9Y6YjYzQ9M6aztXuSZwaRlJs2N4iS0CIFpOSM8X9FdWm9WonNdZKuhd3wcmGwRp9Qh+awksunTOvIwRbavvbrsyuT7VcWoGqzzTezToc7PFlf1m2Fpx5no+3yxt9Z7yZnR37WZVboCl96ysuUf1Nf1mntCoMmDsDZ7eoL3rXpovyNRjiz8EgZoY6FwIfjteeWmzOq3au846WUGPlkKWHp1TgV6OWJenrdHz+mfzTnSgs/CHYGGDFq9sDl2gH9duacbVeb88TefpU5cAdTdc/Os6TUw0gIM3+/k6ZcXxaC44cRMo7m1sNwDVJjCxMWwtqgDieAsuHl5pUFQwXSKtjwK13tfaWzRvRr24Xh/QR3b3tvos+MmeBZ1LvOI3gYQuCaNX2V/Xde1WEjRwa6nK70nVT3F0+ak4q4GN8oPr4wW8XX1emrt2+QY/NUDoftf+wrC75+RLn+GEj8WpfeU0Xkf0Ai7n1cH9qGs614SU0K/68FH9rrKuMryOqeNds5mZ/tex3ehWjWCjMVc5XJpchev+DAxAh3HLQBVOSvU6C8ZfRVK6KOfDtJjrRtxKz855HX5KvqWE6unRv1nB0q6R2dK2zvda+2Qs6Kof3ZmRw2VTAY54M7WXB/Bu6eXa+lT6XafWf5dHe81b/mLcO4+yKUBcu0a3NHA/PNd5u0EO/GCH4wYX/Ff6u08Vkb4W/LZ8qkqpTlJp7r2lns3YPI1Pu/z4vtb7m+vyd6O/kzlb7M+plXXe8eMZu0PbVES/Lx9cWSnoucfc8RTAFDyUh145tfd7z+WY79y7pphTVh3XMi98UgepehGvXAf/BgILsM3p6N3nprY1M+7+6LDxeFZxs3CA+QWC1d0NKLSv+ltj7zv9KoNVGlUmnu7ZV/83LgCga3cb6S5QbNSe0y5bJbjJeTF31SPvs513Xp90Ix6WheAYGA9HAk2aSeYMWw9X3f0kM9b33eB0x3GBVVv5uc6o6/c4tMU/lUXj6X+38qhOqvkytvazTlXtHjvZoCq+xIc3+1FaNKhduXRf97kyVbvg+ItJOk6Zp3uMTFH7hVYea3PnQn8LsF0bjXrMtc3XITQHN9hc3XNt+xMt73HdqfkmSep095q9xw1a3iqW8vLFr18L5n0K8BZXcUh6TBM4V5ffoFJ5thit+sD9rpPYcaGHhs9do3w6Gs1ezTaQG/q/CaJW6bDPnhDCzpeHi73K8+3TWtc931ZaGtuVv6cKhs4NvrnBOn3oq+XMLYP/5iR3bnVR6V7epgPYtM5zq1Rqq27/4dNbuVb8ufcGyUrnJ71HZq/f9LE4tSXKR4HKOjtXSfRcxxZcPN3j1ffe/967E1LHoWC7UdcKaJm/v91+P0USnsBgwYhoYJ2NO0bMielEIl1X9lIfCy70rdes8a0gX+fGswL3bl1aje4FgdfQMjYyKGvWMjRiCnDV8apyaQmbe+rL5anOca/neckAokc17FXDpJUP6kgV1Ny+PgGT6/R2Tvp7o2sFiC0jM6ZmBlqaeNsTOC+fXScTMEfvPu/sqeS7gKiRtjrFnFo0vf26mVr8c+fPeQV3BXntU8+5176/tdLgynKjkcv82YjIhisbl+35bVjRuW8JXTc6q5z02aTN6j2Bqmsw/X6dvlfNNUqL7vistKkAskEVjn77dbNlDRJoxl35vE4tIEJG7GrcHZGd24xS+a5RYM9idH+gm066dKis9Tf3qRNQ3pV9qfPs3DrRTyVrr/R957VBrGbnOgeu0UDMWrOzt9/G2/s/AbVXfa4uLh5w3dIKSCnN2T36UJUPZ/zyDpnps23Zw9Kk/bhObTHLk/NaoE+H3BK/AjX0q9zrb/vfMeDTBoRuRVADmnXEADvn10bpv2sYOxpd2qzJCO3V7Gb569qM0q26F32uU2sPkHvdvVQiuEZ5qbL4hF3cs3Suvurx17nqOJ+cw47rCTt51Zm7OvE6S53DXufqyYtfaxNr4/x36d127celQ+ekY2/m/SZg8IDNUkuH25/S/mLnJ11TPituKo3hyVUYKdMlf3bmVw2iOq97CHgMY4MGlblXDqBxFXs90fqO62LlJ/7uNWpHakNglfolDVQ2efC7P7R3jimvXJ/GPLca8+q48gmZqGPbMZXvi9/rb8CVPR+t9JVz3GDg14pzvm6n9smQdVLLLE+T9gS+Xa/H9RrXabnXfDr/6f5lJtGNptwbSS4DFIy3/x3/2s241nlodLZKg7Be4el1lVbIROg78Mf5XAOgCkwLtC9I8LnCQRFvQyW7LCvjwGQd6zX6xq7swEJ8CgGAVvf/ZHTaR8qm9CEgBWX9vPduirH7TAluTNuN+bOf/exbWaN+3UXyBRyE6Y6x0afybIW7/6/tWrISN8NcHi+f3XIQ/KNv5csLkDrnaNQNRK6MNOMkW0+5viqprdx37DL8FNnTBgtPOuLep+ChywCugccPNayVOSBVRHdtzup+V5rk0R6/9mu/9vgYsjm01m3uvAVHBEisE6wxQM+tY7TmxcPI13+7CZLBPgJEKyB6AmE1fld3Xp6++tPaIoAAv9g5cc1ziT2egJ7oWqp7n67Rva2GsfK88W8+do+BFs/HLdCp0XTvRnJ3Dr24tfyWQthboDrl0qX65er9J/tinkuL7lCJP2ULOl+tuujeDPrXzWeAFzTVB/zlu5K4a9/qGJP/pwBudVXlqCBHmZxg0FrlCSCz1rpBwdK+O3euka9uDMS2lW/JTUuo0bl66OoB96/udN3ql8unaCVg4zp9LFLtEPtmrIAivdVrl5cakLtBB/dtyf3NmrkW24yn/I6Pyt+O6XpW4PgGO+pENmDdMTRIoQkA3nnwn0cSPoHk2kHyrU8NDgse9ndjrA4q/+v/BepshGu/cgR8Lg65QN6ctXyz8obvOu7bnvR5+9IlPRrZfgrWdpx1Ni//dox1KtHP0q4nnF6eu/Ty+y1fv7S+fFSem46AhfEQfeOZtWhPHvC2e1d+inFK36fg3cUPT62BWuMm/zDFeJadQEt0Y4etXTfH+Ny1b9WBoO5vBS/fdvVCg3bwsqRWHw8n+H15Da/gj+riV0m+p4DK9SfRrX5M9275hju1l5kvQHgFZp5+e2od3AVxvf4Fr2WiOhJP1yYU1gR2gxMg6SqTp3E9fa9zc8/Xh05ir1tlpM0R26uZB0qhkWXgCjBotKO0eXpdx1e55R5/0xI24ysfXBDRzAxlTyAGBjaW0RmIr2NdxXdLgsoHnc8bfHBMI95zRH75l3/5Deh61m4jj1eg6pg04FGnvkbjZlmvwq7hr7Guwe14bvCk/XSeUo57jZ7T747peG8ARPa85aRoqb0KXHWcPe9WBbxPfhj7Czh632uQn8bWvtbxYkgcMwO4MXum2p53N4d2z8Prs9IqYzVOIta7nmcpjsc59Er593zVPZbA80LbXwZZSaayKbqJA/Tk0K6VD1+V6FwnWJvBmsO9e6/fgmNot2NHI+OtUbrrr7rRT7P8T31xbsHpaAdcz6mtY1e5qkwZO4MuM7nHnK3fG9NeHuFSXr+6DG0qb44jt080Ldi7pcd2cPVc0M57H0dWB+aCAXzQjIjr1yFoNUCDItXVBfZ97jCnuHzUEvSCPjyv9Vr6Y4fc+6gYr5bdX72Lh9mzbiLVa1w7gTcvGNWKG/BNHeHO6StHYq12Ztfq3g3AZ201Hdi11g1yk7Xy0uVJ80/eineqA10Lz9Rh4JyjU/WpazawUpr5/BRoJkdPAa7288qN4NP7SnR7Tp1CeuOOo0C4gTVODSxS7FX8wGHjSHBI3b80L13gsfKeY1q9QX91XE/Ox52DJ6f//lf+bODq2oTOf/v1JDMXqxYrdj567J3H0qKY88mO37E1gYL3ObYcMI+7EYxf0Lh7r9wKQK/izTp6xlKZeB+NOs7OWWW8dgd2vJ8v3nmSu/Lz+/ysb0rS6kmXPOnK6irX2edhgh1rj4Ge08TI7UsDPL3n7evT5471ztHH4tResHyVzyvgWuG9v5nQ267D3Hv0+3UQ+3L9Mg1j2PIezHW3e3/FOE+/3749nXf7fAHnpfHW8c253CYkjc50LDKtSiyU896s11UsGKZRw72PkefY2nTqbvnf8RYwXcOCkTlLMzTWti6rYh3idX7Wer8nHvK9gnp5AniUdZ6yG4h/EtA7D09G+iqsa+Se+K6t0f6Pkpun82+72STXvcal9Og4a4wBWLzjXPNZIPi19O+CzyeZucYPeC4A7XE1EuWx8sGrawMuzVCNJ8aDG+94fU7tHNqf/dmffbcxydr+n2yNd4AEUczJ2wzqDOvOnbzu3Aaa9tv4ftebg8UAFwzW0XuSpSed2bm7PNhjKxulkcfRACldLywTYAlCnXtNSdRaAbcM2gVUzU7eEiubk9nMo9H8juvypmvIio220y2bF3ps46TDLtC+9qxG+EmGnhyeC+rNvecgtt3jrw66DnWDmPeYVj+QW6+CsgvSOIoqBfD3lTU6xTXxxKXNrtlnvqokumXXT/bZ9W9wEB33+UkX9xqvdP89Xl9bsXXHca9dbFA7V55GD07hUzCvOr+66xWWcFzn8+6fURtm/F1T98TndWyf+LJjrFP0ClPd8z+qFfd086RLo7bKCF64esF1zFd1kLn2eiXH5O3a6YtT7zjrwFwH4tW+F5XNq7svVu74yuev6Htx0aXlzbKj2x1Dr+e4myF8hXefsC6aXsf2SXYv7+v7Xd7Fdtl5nt63Zp8uvjj4VrAVb1ye6/8tyS2NvHceS/9rz427yw8vrZ503A0Wv/K5fuuBptUB1WdrLZV3zZZ1sxNPfsuTHrh9fOKry4NPNETHV3skfMOc2kv8e8wr5XTbJc4r4bhGq324TPOUrXgCRAC8bBcHqNfHxHX6vtb2atLLTJfZKONO4DJHP/IjP/Lm1O414W1ZwsY0ENg1BFXgt8z0SXnWyAyc/8qv/Mrbjqg71xrYRsTfp4RENwtalYzsejIyO67PoqviqXJplEorINCPZjuUZE8g974s7a6zDI4s0I5taamM2Y0iN/txgb2xy1KUVwnipVuVOkegaxk7rzfShkdkwza2KipGwHf9BlBawlg5rWIrIOs1b1nT5fX242bK/d75us02/bL318i0z8b45KxeJem4W+o5+s0JHU9sF+w5tHNmv/SlL33wEz/xE2/OUMsfd9znPve5t2P3ffIxp4DBW1n7+Gz8vbHQK+vvr/7qr779v3uMT1QL4HslnZ7hjC9bQtUM5ZXhKv8a60tnNNDsdD2ZwGv77l47Vsa66x/NQbO3l+bu37W4ymhl9jo3c/y//du//d2OzAUvdbBGN05ZnTc8Zmfg7eTNKZ8OLf3QpXTy2y3pq6F/cpaMoY7/9MvKurfMYeesQuSp4Vs0IK99BBZHj0w2yl+A2cj4tavl+b02p+Pd0Vzg5QIbdCFXDZ6au1a8TB7GO/hkVQm9bx+Xc/uMzip6noA0XtOq68xLH5V0d4rXbAhoPAXXHlND1+PB4gJ9un3Z+YIMeymFp9OLT3auR3aU7uRX4KGP8JjuwMOyiWv73M0cx/sCcjf49+RAum/1s/HhT7x393AAzBuEa2tQozbbpnTrd/HJ006tV2eV3pUDx7Llm2cVEjuOvnXtOq5PzfjNQXVDS1Dpn/LRDe4VL1ePyCjWSbsBrFbpdP7W7iOtKi9Pzvf9rXqwuIDevmXG1fPFM++713VWnF/HtvzZa1kbu1Za7Tw8BJujRTe8hJPd6+qVy2e1My3NdY6lY0++jWsXf92xoG/vv1cfgdd5aV9f4S7tid9+M3jS+mM6HD+3quwGEenIXWvyNJtGD9z+XH/sqb8NghQfsW93btB5+uyVPv+GbBSlXaa40YlXTu316jvgpvq9brnPkwBdoPeqv21X8BlUQK7Pr3oFln1/Ajw1fAXTNdo3uwHwdQJlgb7yla+8geFF/1digWaMhHWBhL1RyhqcJ7A/Bhso2X0GAAfo178+mLpK6PIE+rS0p9feZ6WYA62yYl/+8pffBGXlmZ///Oe/6jEIvX5p3EBA6SYjg8bdxU02DT1lbS5Q0Zo9o6gYm/LhdarRuTtiXgezDkOBaRV7wZrvO8dmKhvn5qsAV5lgr+savvd5wwIVLeWqwW+QYdcA9rpW1rEFQVXuze7U2XqSz5//+Z9/61d5+8rZrRYwF81GdU52v/FaQcTaaLjqh5Wl7/cFcXbejp0MzNnjWJIvaxuXrV3budbXjq6f/vSn3wDlHIXxtvWV+H/fOb675vheEIqzZzMzZc94tXJROaxO6rhvduWJnmu75/qrPFeJo2qKOl14pIGjykGDie3LzTz3+AYFPvOZz7w5QgvQ4XmyVGermZYGgAREjHXXmWNrkzjz37VB7lE9ULBqLDcrdG0S2QacR8+NZ/wwXhh/PfH8lQVjwnfr35yjJzv7pI8LhloKTQ/vtfm28dnmEF83WFT5JfPkabrU+vGugd09ZjtUxkw2Sj/Xpw/a/wZyG+zl+LHLSv7xH32IN+mzV2sNG5Cpjawjay59p9/qvLRsHj9XP9FznE/ONlqpGtr1PArD9bdMgT3bfw3MmKdda3NIL28+OOsqT+g5PEG29bNr4gsoW4J8M9d13MjcGhm/wHNBePJVHt+4bK5XGXwqqwSsa1+vDuT4jGb0djfqK48D1EC1IAj80ueD0nGqRxpUuvr0OiKvmnkube//vY75eLJ7xZhtfu+SOvJbx/nqke7Wi/bXtuhT9Xnv23muk9L79L+L669uwGNkotUg7iczS8b9Rx7rlBd/VdfXDgjUVf73nzW7dw+W6oZrP26wowEZtHlaQ1xfSHsK6NPVMqq/mf0n8HaTFpbo0OF4XZ9Gy9pHj1/bMcNMd6Pa6vXLI8ZbH6GYtrRBi8tD+z7c1KTTx/Kc2suwT+93ED3/yTFqNqVGUDM57v0qwvZK0J/G0WuWWRjFMuqrcXyUMrv36Rj6216UbZncJicDI3tnyAs6KPULdBogaH8bQfdMw4GQRdr3mcGqM/ukWPsyXzbxQDfgw7nK3DZGm9DsfYB2Do3IaOlaUNEyzWaR+ly7RpJF9dCipdRPfFxeM/9P473zjabXOS5fXiHufat4X/GRcSp93bnN8pqHW8pdZVEg1/YKKHcOno7p/Ncg33Hda902/hugAyaf2tN9b6CrnxuYKN+PdpOn8cs+T1nPyXwKQMi62byocmc+9hpQ45TttaDDri1rIgOjnPcGNdY/zi3ZNAaA78piQUcBV3+77fK5/jB4XSd8MzzlsxrL9rO6tOAXkN64gPD1lzO6ubc5VIMUtwTyAto7XmPu2qsGsp7ksu/XOF8ZKliil5pN2bxyrsdjgoXl/3u90vCOuaD2FZB+Ap038CcYtr6YY3TpOirXKQDt43cETTkyaGYtOGdgOr2P0CioK1+1v1ee3ffaxr6aERBweLLFsEXlred16cV1AoyRDbnOns/lU3JweRU4dv1uGkOnO4eeaJal2Xv97lp/1R6v7Jv3/zd7//L7f5fW9Z43bNm7d2fvoQGlQKqoKqo4FIdSEAwQokFNNMHg2JEjpw78Hxw4MA6cGYfGgTFOPIRAlKgcBKooCuRcCBLcJjro1uwOh87rm/vxy7Mu398f2N53dzqblXzyOb0Pa13rOr6ua633//xuxp2Nu7L+5EfdoLJj65pTzYZzVzeXhwrqXpvVe3Ysve/GWufd3HQ+3wb+OK86pHIgUFfeSk4rj6XTtX13Dq7uvDqg139q/f3pmN7zBmb+L3Bxr1ff6PJQr//a/UtX13jimR5nzE/3qV853YVnnnwdc3L9lfKNV+cOsHOTTh0n+bKM6DWal8a1KfrSmMa929drX6+Nr29ffb8Xm/p/ezfBdXms/as+BQStXd9kMmxpies3ybNWnVnfq+Ps5/LeBU6uvtx1Zkv6yM33daOoJ0f8bcHCDQTvtRGupZxVBEVXOsEI/aS4nhqm606OZbiWLtRheXLQ79ju/6WZ+97fBCwbe9HntTnUQ/6H1Mo0rJzNM1/nCDJsSn8rmHVOGB9lxrJSy5LN+Vq/FkTPwby7El5h9N77CATMx36fQECm95usl7WGK/n8uZ/7uZdzv/Irv/JNYNCSjDpmdmIdrdZnzA6BQhNGiOGDWt/HF2jl4Sq3yzMdd/nbnMrc6bPWAHQNnTpHV/Fc48tZbJbF+T2e0umcdZzN5PZeRbbrHHQM10noGC9SSY6u0/0kK+PvzX136azCd+/KVEs30e7KV4PavZRdToZ2jjLk8f14csDK5I0DvmzDSo6XoV0Jckuadq9da4r/Ax/4wOeV8QpmBDYc2M6TMqAGcb4zNJwq/amTcEud3ubU3zlwng2iPFR+vwl6jFHDs088hc4FCXfPbpY0uRw9lq1eBnPfPXdwOsd4oMW7Fp13dfB1fi9YKGDeaxlbaPN0Ucv+uwFeafTk7DWr16UdZERZ7/r8a7/2a2/2JbAjp2u/zcFr5pF8ObYOQZHw62B3cxoB0/qyDKoy1vEiIOdWhhiza3FqOEz4YrpojW7dPO/d5i2WxaBxZVVwWwe/wbjrmiu2EUiqCqL6p/J/AR2yBKw1tgb0xnYzNVqD6ycd9lR6KOA3fjusq64azQCVmx9VUvttxxmvLHOdyX3feCZHeG3yNbrzBapDO7eegUw/t7/1GSp3Nzh50kNtHslVvVA6AdMKyD3Jtns8yb5qsla4CYIuoHKDi8sv6Mv+0Rl0iYoW/mL5tzTuY+x67fLpE/+0ld63PQXC2hOg1Q25bknu9RGuL3J91fatPHKDRPRrsuj6Hg3cbhBnLGsA1/qDfTZreYo+KK/U52pW8e5kXH1zdSJbxJdt69gbaLLvjVnowutjlp7OwWfo1nnpufoGpPqDf/APvtCr8rMX0Gvn2UiRzVLN1L0s9nn+Dz/Jkrf9N1kor3Yt/+XvBrhX19S/08/Gc8A+tuZ9CWrrSK5V2eh0B3t/u60CUQa8gsLRc09ouOM8uF0w9hR4rFlzwdmU7ZMRZXwEURXu9aFO/hMjeiccZcCiiS2pYtS8t4wHQ8/hZ8znmHD8dl0lal1Xs/GsrFfZTO/F+OnLfpszv+v84T/8h9+MnQCYF/2+IEYdKwxZ5UV49n3CsD6uXyvR2/eNZ9myvQjS+g/9ryE3zhmzHac8k0PS1v4ysDUInAcCfPmW4FXxN2i643yN7yuw5csivz2ufGMuzJ2AVrljg8wnOcSLRb7IAL5osA6dG388yWOdnqusioCWl5/4Bi01DvfdqK1zrh9PwWqNObq5r9+V2VsPO37X5917n8f/1u+NxgtU8c5ov5L5bne/83b+eHCB2eRowe8+U8aj5ZoAawHy7q2qYY0Tarz6zICSg7vetMAbZ7x8WsNWnbrG8P3SL/3Sy7jX970D+urwXtoWYKyx3auPJhov1ZD//M///Dv/7t/9uxcg4U/9qT/1YoAnxwJ+18U79Jw+dVmBeQII7jV6L+vvGZnABMH1fpue8figBXaC39K2u7I2G+AdHWS6BX99niBnwfyvOZadAoBMD/be5r66o2s21xoYVu+wC8BL/bDudfwsACU7EPoGYYBOj5Wjq4A1k4c+sqQbAgJ78HLXkNeZwb8cp/oXAkjZfYFLbRlHtGN+Cmpdq3sjVC6c+7Qsow4bh7o6pXNU8K3gtGDWmnWbmQGRRtPx7S/8wi+8oct+awCvjHm02HUE55PbXWvHKvtmF1seXr0iUHOv+khPAWCDh6cSSnPbZsO32lNy20D4CUwqMLYmG83xFnyOrzytYXQpn3VeNsbSQr8LFNGXgig8CsBp9Zr+8YvIvE3SajsvcHVB2wLca+Swc1MgqPN0W+2dPtBFdEsr/Wrf+67f1Xf+x0uXbuaW7F6/v8GSvpIz42+VQa/jvI3Do6L4P3ZJZyNq926FU9sNaBtoFrwzD5Yy3Q3weq0CHC3PrR+NngWd9E0VBz1146PGFnTCvgtSv/iLv/iFB/Wfjzt9PB/L/ejJvcQD/EpyhS4SKfNrLKvad+tzn3zk9vcJNC0fkTnnlJdUjvYJAu/LRlFPQvNa4HqFpFF8hX0N4z4Fi4zEawqQs8MwPaFZO06mj2Nbx7p9rQPXySmycNGrvtCo/99gpa8+uqDKyvVqHLrZys4rIg6Rwcictio795QxnVO5a8jWQIvb//alSqMoS+flGkPC2NKG3W/HzvmxVsFYq3Ddp4qJkq8BKyJ+Ay6lSE8ZAcfccVIeRROf+KrXKI9U2K/sPLUqRgq2ga1SVkhi5YQcrhWJNYeO9diY3qtGqWNAhyqsO/5+7/gYJJtTXV5yvCb73s2s7rxc1Lj36n8+XzlqmfrG1JIy66CnPKe8gTMCXzqG3tjxdQqtxeLY7Nrj68kVVHPX27VlF8or5pQxE/A2SNVqGJ/0pHMqK53vXoejMIMHiGh5I7S5jsEtEa8T0v7iXf9tjhdA717oT2Z7fAMYGes6P+4naNhvnB0BVzOeMr3N+O5/IArUv4FAA69b1WC+BIOXD5+Qf40scxqqa3x/AnZ77JUh9H2ylzJ+MnmylV1f3OAcnRYoCVA5WtqqHKzLpatbAlv7hkYcl1spU1S+69+r92QJOK4tnavs1+ZeOhXg6j0KojVQrZyVz68D95TpKuhXm9218hzj0XE6xa7p1sruWDbx0nJ0BDpy8GUlPV/8bsRSe31po9+XbjcI6PhvluUJ3H3ygciFDFHteu1U6Uhu0LuVSPsfbWVou+mNvqJLKxzap2tXjN88kY+1rs99omf92wYkZPTJh0CnBvLXr74+79M89lj/F2wALtd3f/Lf79wbgzm4/p971r+58uN4vmz9Bf0A3Gjdw0OfLF0DMLWvjRPcu0Go+97xXXDwBqlk7ylYd82b4CtPXRr2vxsH3fFWZ9WPJkdsq3WyX/Du9QC90xEDu6ZbGkCKBdgHMlT7LpGy68jaAuLcq8sI6je+xlev+ZD1Qdm0bv73vm0URTFUEflPRy/6o0Mm/UkYKaCnSa6Rfgp4oQ0U34jf8ss6+xwfDg0kv8qnJTMmt/83YHgS6Ccno8q9DlGzcFCXS3PnNeNRQZvTvOB1DviubROclfktE2LNLcMngwItlj3FmK85CB3HU+BxjZwMiGtwVNBPWeIcfYaYU1vF2AAZesY41Wl+Qo3wIkOkD+bgiRev8nDNKsOLVNfglw7oaV5L1x5zA8Mb1Co9bgahfCmwr0PTYAEdu6FO73cBBPONrk9BqX7oQ0tQy99PDlP7vtaKhW4C8Zos9D432L0KtQ40x1L2Tv/RYPSZLKEzFNi5si3rr0qBnVekePeThakO2XcbIZWnzRP+li1rkFT9U72D16+xZGSvnF4DS6dMX0wnbqfmBTSelStL3aD2gkvmHq/RY/hWFcrotqUGO2cZ65bEOZczr4IGKix4JI8Naun1BQc71yZqBWt2fvce2P8bs8f9eJxQ11VedP9mFugPgfDNYJGHzoFgvb/JJJm3qzuug1XDj3cbeOI7tJ+9AxoBYKqX9n02Q1Z8/wF2WhFkvvs85v3uWc/mu1VK7rHvnNk6NhyiNQFaZVVQy3nzO/7qfQpWvi2oRUdyS0YrH6oNLp9fnmhG5QZj7YegfMfaHGq/DSDYRigLUpUl7zzLa649AB7svL0DJlb9IWPLQeXA3j7fIP4JRLmBcHn16pXKQNsFdCoDKhjqb6FhA+TaRYBaZQ2fA6fMW+1qNzi7peN1wukXYzK/bKoNdcoX+PnS936+PmD9WPqfTJYe7t/z2t/L51dfrKn8uHNOZhqglya31ebcAMz36orqws4vnr0VQXijc07H3+AZ+AMkav/q/9z5qX7t/LTf1Sn1bfgot6Hp5ePO+5WXK2t+7xw0KVEAoEmwG9T+1ru+xt4nX7Nxs4mz7Wwgv9v50zM24SLfrXhRgdSd46er0LWgZfn18rJzyxcXJCuNNobRe329cdF7FtTWkNdRu5H3nahO/p3YTq7r3WCjiqFrbAjGJnMBHGO9tZmyMOrMvTYZm8RlDPZ9TuZS9g1EZqCLCl2mgmbcYOTJsS5Tct4wJQdQSTABrnHoPdFHiejaFIRy3X3edTb2lSsvoN34BJc27pCh5cQpScG4NUZPwVYZs85BhVI/i7qtCQ5titGdm81xEfSnxqHppjYeD2B8+lBew1fo3yCkgXBpTpi61rNlxzerTIlypG8f3BvKqPSojQPfIMEzN9GbwFMkDCA55YxeB3p8IpvStcvdcp4DzNh6PEUd+hvoc8zRgqJ8MgIX9HLN3XOKeA5aKxPusaVndcN1jK7Tqi/K3z1mpOCI+cMD5oKeYRBGr62jxVcQ0f239127u5Hrp2C1POeevuPN1xo+xGN48hpSn83XdTp3D/K3c8n/Ak+OIv5uFkTJV2VGsEafFXC4oIA178or0ZseXIBV2ZZpmV5esHXLVWUaZ7htdtcgbzxlzfTGI2De/zIwHgFSx81Yn0BUDSjQ4Ac/7Z4DSKaHNc7ReGTjaRWNRvZuGXSdI/cr6FWnhwzbBLCOrOwg+RjNlNV75NTKw43bfOLfrt8E4GxeCoBwctiaLrHpDv0FGGWKARaCVw7cDWY7V6XBa814mq1CQ+CdfnXDFCWl6OucltHeezSLXIAHHYANK8f/qZ/6qReeH1jwzd/8zS88M35fsFtwZvyy75ubz372s2+eh/1N3/RN73z5l3/5O1/6pV/64svgD1ldYDbduM9PAWf1Jl7v+9vaawHsEzg5fhj/jOc2nu6+Xb+CfWFH/V/Qif5Qzt+qC8un1tCdztPIQIPrAolk0KMUVeig5QUX2fLSrMc1+H0KjC8wfq9VH4QdeZqH+m34FG0LeNx5qg3UjLVjbhxwfUS2psfRtfSFvvJr2jdL1bob9V6z2Ttmc235CJCeHt55nr9dHiLfBf/1+fpf14fXp/VzNubS/InvGyDfuUQzfWlwX13WwP8mOIBkMtmq3P4f7y53Wl+nVz796U+/7FcyG7BzByYvPvroRz/6QqfZh+3/0H00Nj8AtMnoaA2UVLk2+4Hf9VMsUT38VDVRXiyAdcFty07scfK+bhRlUjDtdZZeU4JPiIXffzcUow4hZw6j7ZEJn/vc596UVEGZd7xnRjIOsrQ7Z8fPgEAvTEpLAxvMurfx3nWYRc5uIHxRlvveR4gI8IyfADSTbet+zpv7clJlnYyLg3EDsRr26xjc4PUKpr48Ib3OX1+eUD2BgL637M88oFn5idBzTPTdsWjacy4KdJG4BuOv8XF5vuP2nUK4TkGV/kWs+luvIxDTV7xX9OwG2a1MuLz2hNKWv5SCe6SM0h7noPUtYy+ocXl0ylLAxZm+dO1vc8jWB2AV2brnvU0/GEt57PIuIEfpa4GygmmdF0aaw8/RnZ5h9GROlOswwBcw6TUFc+WH8o1+la/MC3kGWpifS6cnuStP1wnRPIrkZvk3N53r9rmGt9nzGmNBsnvN0OIN2VaOwwwzPthcjZ7KoBhKwZbqDptzWTuKJvtv59vtt45ebRBaFHVu9QpaVid1s5I6ffp1s1qVZci4358Q+xu8lV6lbwO+bihn7wRAhMqD0REQbE3iZHb3st7c/aqngQnOQ6fdc/LbIErgZ18H/RWI3KCyQF7XixWELCBMvqvz9UUp3pW715z36t8LOFVmyLu5vzavmZIGtc4DCIzH52z+5E/+5AuIBAScvV6AuhenXxaSjt662zmiNl+c81pde3e1vgFWfytNnF9aPQW4rwVsv9e2Pq+/C9qtzXsK6Hy+PkjtrvJEFTPkesDoQAL2T/aafb2BS6tmOs7a6ycbeulYHVKeufyn/85vYN8sdfujD+3TU4B1/VB27W1A3W1vCyKejqeTOmfVdXSFbN8+q06c7mk8Ud90/9E3A2xk4oHvguIldu6GdGtkcPfhG7d6oXxVf7C+AF91MrrrSChdWr2mw6+OqFxdX5StvAmwBvfdS6BZ7o3r//nuoy1Hw9nXydhe0+0q0zzHlx+DPmImft7OAzwB6/Go+KtjvNUzfq+NrD91/V7ndvz6ecHD97T8uIJdJnxqT4J9J/sqySuUVQIQUwNmWIdyzqnc9xntTaBsloXNCGbHX2WEawts3ac75rVP+uv9SZk30Os4LtLSgLaoBCfnBrXNelL2lPfdxEQpnXV9shM1FjcIrTPUDOkV+hvUalWudz67ju0GoQLo/W/R/3X4b1Ar+OVsF83SrxugQMTqKNaZvX0uz3Zu6+i01cjdY27w/RTUNouCN8z9VbRdo9qxcdApYHMpSOwY8Qw+wVuTC5sb1QnlVHUtRh3AOiEQZEgqY3zn8dJxm5pxuC/I1c+lBxp1bvHidUQbhOx/lQ30SMGhykgDHxUFgK8hiJxVAYEsuSwJ2pbfalCvDPmvgcpTRYB5dBwa11m68/MU1OLP6of1F5rfTNF1dNqXS2ef6TzvAKtdbzTjZNoUYrw3Z3Q63fFzWEZrGS5ZYnPG+fcMViVXUHxOwHSMCp6dc9cGN9BpUFv7doPap8DBd2uULqhx55aslSeedG31YcEutDVOG2YBCWSpPVeWPG/nebvgCwTNB1kBHlyeIafl2VYAAR9bwWNMdBidgT/Wri3y/drNp3PwJBl8jTf7G1qbV3LSMjqgQINwMsmpvPNi3LVFqj3mHA9QWMb1Z3/2Z18CVLRfoDt+Nx7OI/ne70AbdNz5AyFWfmwNP2fyjrV8fAM2ny8wfQPA6vQ12bDfa+O/WApmEzf3K9BQ3dTfyMPoUad5OqDZ2rWWTqJpM+8Fsfa5S5Vqi+nC3621/5fm9cGqe26WuscXaNBe80FbIVAdfMGxG9Q2aPbb7XuPveMzF9Vh5IA+sgHXmke38eF73Wa9B/5Y6rB5GVgxfbZj66+a6wJN9W87XoHbpW/7UJ9JP8dbu1b987fFMTdxUf54LQZ6ihP2srxShWKBeOMAGvzX//pfPy/ABf6ObvbO2XfzgRddS/JwczY7bBwqAzc/YpaOgT91gZvrt7CvTzxaMLAJp+trvC9B7WUYHb8IVtvNSuh4r1/H329FsBoMeii2oFRfNpm77iYMWleUY9fcYzo2YTt+RsLaUmvenoSXA6XfV1F0PKVREWYONJTKi2BzmDXGEwNCOBgGa2rX/71m3JRjdJ3LDQT0VWZORtv/V+mu7XuzQW0VDPODIQsScCjLwJAggnYD+IvYoquMEmVaJ6LleDUyncvy2OXzGsw1Dipa3gx5+fryPDo88ftT0FrjUHlQWrPjZep3jLLJVR8oNUEnWQKy4rmI0E00mZwsY2C93MrX3X+OB74CnFzAoXy/60+2dg/o35NTWXoNhe2Sgpt1LD1vBpZ+KJ+S9a5X33VkaO2S2fJrAaxgiIPTjAuHZ+eOnpzV0YszXEN1g3nXuIjuzpPpWj82D3hh919/yTQj1XLzrl8u3Z6ANw1dCiitCWrJ15OMdM7NZYGF6sg6WqOZ5RK7v42dlE15xND4R3nxjl9WfFnyOTnmSt80uxqPdsqJZXE3Ho8/IxuqSCrvpYN57r4A5LD0qBOJVuSupbv+AzwJvFr27L54GuhAf+DjygJQT9Bvd1xZLLttK3eurVp52ui16++YNTyvjI8tpZPx+Mbm2psj2d0CKNZSFzSRFai8GEv5ubshO+eCmJf+AKatDW8rsIIHOicC1/J6j2mlBPl9Tb45nvVz6Nz5GsuArLJsj9JbcLs2/p4O+fjHP/4C8M2n2Vh2/Ogw2u4+k5tPfvKTL2PwbPkFswB/QP2O3XxXzxSEuGBK5bXyfQFJ81TerF1sey3DggfG/5unBrUF4LzKOzeQ2//WEu71qU996mXcdPJ9nJLjPEHi+mKj+5d92Ze96Jq7CdGTk10ebJ/qFxrX1RtPQalrVY7cF63pl+srr3XdfPvP57rr/58AZO9v8+XppF2n+x+UNjZknTzOL/FUjh2vxHX97OaLbJGgSvlrlxHxh4GZgqvN+55WQKc4p8u5BKUFUUqf+jF4ZW3XEGDfnXjNxZPtv/OJZvX5Kl+NCbrpXjfL65JKMuj1O+8+OYB/sqcZTLfs84c//OE3FUsyzkAwMjT+t2v95uIjH/nImwqr3Y/N2rGAY3MJLNhx/KxLW4Dn/q9/00C+/gJd8bblWO/JRlGdMMLmvWuAahw62b1OnQWT7Jwa95be+lyHY0YVkVy/O6oKeAl0HxXj+ZSQbPfX7wZFl+BPSriMSqggLi0d8JvflUVWaKr4akD036Ntujb1KQgsnfXJiwOEpi0hKMpSIbpIE8GzgyMDgif0vcg14Si63SC06OVVsBzO0t89K0h+Lw8/fX5qLXOmaMvv/mvQXrnYq88OvvNZfvHegA3tlJ7JLHXnUbwztF7J7xxNaKIMzI7beR6fsuvbZXafZ3QW1E5epuiaES7N9bmOUAMhvLDKiaLjrzk32pQpZSeYLj2f+LgOWvmwWR4P7qaYyUedDXJ3AxP9rq4yH7IDBfbwbsv/WiWBpy7yWP7Ft5BswQpgwvp3yt+zE8ufF7i5iLomcMArV8/UWW2QXP58Qruvo++40WLzPF27d4bM49X6uKrxe9de7ppAEsG7+V4T9Be4aTMHjDM7UqcAsHgdxtqAtQv2GXNBzjXzf4+/2UR2rHPWIMTc1K7oX+1Ig1qZdo/v6bPf6ckBSZ/4xCdeHJ+VtE4/FMSojjYWJWyOUQ2Et8kAZ2SfZQ4uKGkuL/3Yp6egtmCad/edzMnS99nA5e3Lm23V3RfgrS2/9tB51Zn0Dd09/uaEczqni7e2bfKw14LZ0VcVQksOVdDs/wHyHFHgpKobdrg7vpKz2uG7rpY8+Fz5bmXJk+9Wnrz0fAra2MwF6puvjXut/SsPkr/aTp93jmUJ7m9DOmBMq5l2zObCTtvd4Gy/AYRH2wW2Ai+yyu/id1bn3r49/dbxPGUIL72ry5sFQ8fb8Au9Q781qLvAZ5NR13+5AEJlqfJUnxsP7tFt80vmC6wqYSDD5hrPSw7M96D7BVR+X2k9G7UASwA7vbN53n27azo7oL8NDAtoklN6jWyTE3EE+wsoZIefdAfbfnn/8jCecU7938YX9kVBz4IH9Rf5NfYK+QPvjnMBvn0M8Kxx0ydigC4dk8DZsZ4fb6lT79fnydcfpPvrN+Kv/S7wBQKwA5cW+H3f60u+p0FtmbtM/4T2PH0u819heK1dBXGdKgqQUw0ZviW+AjYTzvmkYJVo3VKzCvZVTA1AHFdFV0Vy1wg1S6nfSoc97qE0vAqyY4GKXAf60r305jTcXZcbeJbJOm+QpzoVFL/1WaU5FLyovGu7L+Vb4ecU1PA+8cRFqnqNtWuEr1PzZBwun75WSnId/SdD/tSnGzw1QOTIUyYUxs616YvF+10TR3HPWeDEcrQ4vOUjPDnaK91cf64M1MhWLkoTx+D1PlblyvPT567/Ll1Lzyc9c3kdT3WjAc7xBXvMfTfJcr9en4HTT4EtA7V3WT+OFvmRUWx2qHx7eUDfK2ul42jk98mbypLqYdfu9wYMmvsVqLpyVboa3w1mr+yVhuTY+5zI8adxcDoLFLZMjQHkkELdayT3mVGnb4r+7potUUQT37su1FzfipzXltg86dfO6VPDN2QTDXq9BhDmrUFUqwcEtHS5gBboya71WqpQhuLvfecCxeiFjp+MA53MPZuz1nLr/a8fruX3jqXgY2VeoG6cXQfZPjWoFEA3e3PbDWp/twC3tuE6+j238lF7yc+oDkMnAIxsyt5VKgBY8Ev1gqcdjK7T2fRNef6Cz3TQa2N9sqc3MLtZSzSovD1d9/J+9aSdzqtbetzaXTrVaxZ4AyQo0Z6ttCFgH/NoXswNQMT6e3S19pB8ARwK0D8Ff9Wbl4av6dbSuOeQu/qVb2vkVwlpM4jkno7EF91Y80mHdS7arl0g69bnL6hdJcLmYdUgox97DKAEJNh9Fxi53xcMqyIBzNXP5RupjNjvu/5AHnNUuRPQ79XKu+qkBqZo3g3e7O/wJENPgWzpaC6vLq8urBwXnG9irDENvaq68f+e58IPOMC7O85majvPppybK0koOrtAryqQvfq8dRVjQJ+7pIS+Zrf5Qa2YEURfW4AvGxtc3fK+raktQ2gGcCf2BrIXrUAQzuKTgnU/CqFGdZMJ0dzvMjQCq/2mZBPDQ926duo6L1WAu/fOuTTQl5aG1CnBlJCWojFdczAUy/MtS3NMZPJfJu7dMQn8Wj7pRYFV+dQhZvzvmlRBqo0r0KVIE0fUsRMMykwJFMPVx2TcfnB4OO7oT9lexq8iegpG0ezOR69Rx6ZlPp1zhs4515l5Ul74v/xKSRP2Ils38G4w34oCiogDNB5RPkUp7VjrRPH5mvOtQ+kaa1nczbPyIJl/zuvT4y0qu8ZGBvbfrtlMLb7qsa7TzzX+ru33J/T+KZDAS3b228t90KIyzrFRqnqDvosgtv+tFGhpmWy6x8Uo8b0VGOVtPKhcVtnhrepgYPbfeGBZeTJ29W3pg44NkDnLSnXrBHQubrB6g1nOxQ04GvgALYbWjz/3Wp9u6Sp5sdFWkfQavgYP/leiycDWqTPvjDd9Vh0KJKKrO6cFJcpvaNssSvndnLbtni2JQ59bxlmartXpacC3926IuGaXbrLc8/VPefF0w8c+9rE3jpt1tgJlevoCQ2xSadAg1/26O6lz2cSuy8J3uyZb6bo2l6qDz7ZW/yphf61d3VUHDo88AZiOL+jmnNqUOmCOEVDhM2Xho8t49kMf+tCLXEy3LwiYLpZd2THNWHAUt4vp6LOSe+v5b9AJSNan6gR6gIPfbOYFxm9ASW9oBev/e9r6s6BFgFM+KJCijLF2mg4ADuy42Ry7+3cjqtF49CVnHmXYaxqbzbhspOZe698yt3b4rt6/vHLl1v/73mRE5fxeD/1VpfSaDaRvsDk9sD7K2gsm8KbkiXvLqHVJTOfnBuTG4nfyxI6uvwtSl6H9xV/8xTc266u+6qvelNXbDd1GdjY92/2aqZ0NtI52+mmv8b3sejd7tAvwzlFxab7FAXQ6fdYEV+fP0pv9DhjHE3YZb6PjX/NHC6TgpSfbXpugckC1hqDWfwVrVZqNr//3d+2oIHeygdZrzp/OoGv22X4Tu//Ocd3xfP1w+pIvsz7ydRqr4NU+nrEBukc3NnA3PnaarWfP39egtgFbMwI19lfYa0w4i0VZG/S0VOwic2WUvhCDkuasMOgc+yqkG0DXIauRKnr4hFquVdnUYBrnzRz7zSRDaAmeVhS8KGf7UyeqxqHz5bei4F1o795F/PVrSsRmLYIiSrNrhWQMlbGhHUfHec0oM9h1EtASSFEHtOtEim4VKEA3CqsI1w2GOMR19ttnfeOINLgv3zSgqdI3Tw1i6/S3r46lRC6Y00cLFPFrkFxHXd/H93VKCmzI0O41VG5zPKMw42P9jZKeyjp+6vUg73tB//T9d2vKZgrCFDjCH65XI9Ksv8eYjB/nMG2MjLN1JsqHiviaYxUH5IAxu4GtrFUVfgNyc6KkGmBgHYvnRN9AkZwokZOdwatr1tsJgBmgBg50xkWP63iaX9nO8jwHixNflNvv3U3d9elh9DD+0Xx8qFQSzUeLOZybM4+AgrqzCWR0fdhxdy6qB2twGyg1mKv8VlY5SaPbeIejxVbQxc2MlVf7iC7OHdppyvvRXSCIJ6tz8H5Lw2ozWoaOnjsXrWVou2lS5an0Gc0AX8sa0v3T5wNPyEB1y7Uz9B89jHd2ja5DZXevY167yxnvPPq/2V3+Alsh63Pb7VP7bh5VbmmVZ33BS1oD29r7jpONHX1XzmdTy7Xp3Dntdm8F0HscXzO3+299tO5w89C9D/RHMHwBeo4wUIFOv+MtIFV9gtZ3Ttb4DG03SVA+cT+P9WpQXv9RH/x3EyO1pTaBq60w1pZg2pDQefUd7JVBnqrzZAuvb3B5qfam9rKNbuS0V6YueNrfb/B1rz97zk/T1yZZBDVojM4Fnd3j+vB8knu9+urTHePV6ekFsrNx4+OVwgpAu+fGjrOekx9K120cA3wWSG6ZxB5FY0wb+/7ftZQvs9e7pj1mmpiQyBEQo3mXTOIffg377zmw3/Zt3/YCPt25vHxQoKTAV20zXdFliJZLsv388Fvhqd8qO/kW/3t2rTe/7K0yalU5/VzAja/hEaB9DKiMehNV+mn8QDL8X7++un/Xo1u9HM8PU1pevf2eBrUXsTEIAlcn/8noFVnuM8S6pXvRUq/eq0pWX65CJDzQZOcpA3J8y3Fq7BG2DkvvdfugdXz9XkVUerguZHrIyRhiTusd80XoLvLT4H6twqmvBKiL0B2z38ewNp/gXM7oegzBfqPYrTsQ1EJcZ6RmtHcNCkS55gRuBrxrDgkdJd9ss2CTMWUE6pDe4P2JP0pLY+5vdVqeWkGD1/i/89n25EA3OLyBLZ6tLLVxgMtbeKGOSNHgW4Vg3jw3zj05TIIQ83xBiCc6+I6Pmgn4vTRjbraqNK2RKB3NfcEhVQMMnb6M56w/v2trW66syqPlywVPzLkg6O4j0Gz8ru+a6Gud4+gvODSnxkN+6nyZU9UijNAt4a/s9/fbjJ9BQf8aRDJnfP5rdUiBiAIP+EqAVXCk8z5aKHOyJKI2AV/RSRzRBr21HdUBDZQaRF39q+811oysKoiO6/JmZR0PjA/xjFan5Do4Xtf21anFW3SWcxoEAP44GJXP6pMGOa3G2TztXBsUjb5swPjtBt5eBRWBG5z20r56qkDyDXi0/n7lrPZQtroOea9RPfnatR13g26/ceLaj9KgQVbX3ducZucuYyWQG98Depp96eORKjcyvO7PrmoFf+tssznuUVm9tC1dS68rQ6XBEy1/Lz6kihQ65Ppz1QH1Nfuim9fwZn3I8nZftTF37jpuYAJbyG+8Y6mfW31dfrtAQe91/Zpe94lHn+jdza9kHI29sqKPHefliatH+3vn33f6c0GsCiL+RDfctDFpH1fVhI/5mrwsGB7AM5+466PJyHTLfgeOyKryk/oIPzxSnmmweQNQoDHAZr9tXPeRPqVfaWUs5Q2+SoFZNoJfftfT34BWcNj9VlTmfNHDc2HRostDuoyq+/GwHc4T1ApygRJ4md9ofS06VZ+3eqdlytXj9asa6Feu39c1tQZU5jZxddj73zXEM5I7H1HqoNTx6eCf2hU2EyhYYlAZuhqnJ8enDN5+9x41yFUKzRhWeVQB9Jp1qkaPPYh9yOsHPvCBz6PbDd6qPIto9x4+9x7AhK4zXIN8TdFsB90h84KC9WeCPKUia0u5mMv9LuO395WdbFdDAbLMwXYV/OAHP/hmTd1+VwrEWLTUsI5LGf4JVKghfDJUXnVIZFU4Xq/x15PRvvdvhqH/1cnmIL8twGhW5ioHWR1Z8uuw4sXKj+DHeWuADXODTpSjIKRKrgroykDnw9b3KgsY06d25apzUl1S5LtzR56BH0onPa8Un3v+7tqcSOtiGtDidyX0nAJGphky87Lj0ai6hIJu9hNv14jYOdbO60U9Iamu1YylTIydJDmqzb40Y9ogsXMhGNTn/tYSeGNpwNuMxc2u15nsrtutjOmcbj7muAiaLJtA0y4r8V7nhow1u1vn8K7txl/ug384QGu7ruc132CwdqStwe6u57mGvb/57XzgqwJSdcLJSu1HwTjXZDuBun4vUFQnqxVN+rL/x5PA4F1/8zfQcnJtjZvrFcht5qh9lPGuY22MBS6rL7XqP/qEvapDKrteYOfO+bXXndPqywIWN8gQ9OmLsdf2kyP8tGPslL62jBOZVYq/NnkvT3M+LZswvwAWcjk9csdce6g/LW+8mcbSBl+YnwJlpU9p9kTzC1Q8tWXZlCJecMgYKgMNAvB/dXRtUZ8C4TPa6N/l4epIwP3TnNTnqn0kV7VnxqHS4Qa5LQcuX95g2TXqp97mMS7jGRUvzTqbU3zatcZP4FHnuHNdvtJn9BtIs983t+aHbHreq/X7O2/HA82AlYI2O+Wzacaw/2Yz1yY/8zclylRc3P0v6CJ+jIxi/TI6rz4ScHz/kcXbaiMaD6zVT9mrz3tvXKRSUmb4KQHlePvv2ORW9dcXnvXw+oQfyMLoanO1HcevJyfXH901u8+F6h/6iD72yD08sXHxFUr/C4o1Tuq4axfe1/LjiyQ9Mf5VaDXeEFUoAEYpyvzENG9rPUdteFHi9qEoF8Xz2rUw+mXQNU6R3zi+NyApun6RL4wwId9zA7fN/0//9E+/uX+Dun7Wr703UCuosFaAAYonrV8kGJPvGtZZ7n19mZOzoHa7LvaRQTUqU1RzehbILjB2/QXFdbTsArk+7567rpIJTcam83Rp+gSclAZ3Pjneyhkox5u5vTS/QVvpWoGs8W/Wq85cEVKKwudmm67AGzdnAz2hXtZN4c/rIDwF0jfjB2C4O6VeR1iAxFgXnJGV9IzRJ0VUvXEBmAIl+z6+5KzsHpDyiyBv7KoEZjyVS+J1Zci7zsr/psB3jke/eJ5nS3ob1Aq2BFwFXZ7AuPJNnVGBojmZnAj2RvfJwxpkePLkgecMNLR19+haTEBHadvKjDpFGse7ZZ6VDQawxrol280CVMd1rDK01ZM3QOS82BehTrMNKcwTnhAIyfDXKb9Oq3vgabqlTg2H01xOFlp2tv85Wnh4xzLSl8fpmlsi6HpADPxLL1Vn4B8OdQOQLh3Zfxwfco5Prz4r/1nKoMnKuj7endOExyxZqF3VT/0YTWycRnfRVeiHd++ykTr9FzzGa+Zi/5FNz1RslvHquwZET3ajYJ15dV9073pdPKSKADDaChB9b3l5HcUCPKP/7CO62+V+11bhgQeBWea84E4dW3zzRBPBeIGp0bPXqp0znq5xBlw9BbA3gOt96Z8+hm6lqzfgu3arQI53tAf6ksELVOD1+moNai8AvgYQpu9cn5+Fp0sb9wEi60N1TQHa64MW0CuA0qD9+pGaJMP0C1vNnhe4qoy5N364AVfHcAM2+sT/3Xh03wVp9JUlApZzeZyTud4xBUE3llUw7n2lyJ6zqrJnMrM1rr/0S7/0Zn0n2bKcogFs5wKdb1BFr7MzSpDXtqt2KyM6hy3hpgPIlPvSreVLy50sM+gyKP4P/lobbYDas5tbZ1w9+dvnySvOYYclEQckWy5oaWYDZvuM6CsbYGyWUJhHPhfdRG4KBIr16qc0ACdD6LA+CMbft6D2fq9wPzn+GB7zUCZQAahKFbHjO/G951U+N0h9LZtThE/f26+rCB1XZr3Gz/91tNYqJJTFU5+rmO8aoo7/ibb31ZKvpyCQYtFHCm9M6dluCzK3wYKMCAMPod9x6veNff22QZRgFlo3YVE+te92I7So3aM7OlZO6C0N6Vw8zVPnqP/1dbMsl6fNV1HVBqZ1uJ+C3tuP8trvJQi/4AW+bCDP2ecokcGbpaoMNEtS2UXrWyFxSxNd85aPVj4ZsT5O48m5fPoMxdu5u994wnMW0QF/N/jnWMqyAmy6NoWindO7gFelQY1JM/WvbdJwM4gFMvqYnxs8XiMnIJBFw2ecoF3Xo0msMZJRV0YEGW2gX9S8IArev06iudWv8nqD8fKp4znX+LwlSV3je6sGSrvSp+WH5huf41FZ7mZ0q1PrAFZXVNfvvkCgAmPVoRxVJeGMN7pUfxTAMhb97zWrW7pDKdrQORegbJB7nfKut36bfXzNTlqOs9+AOviyy4MEjztmQYjlKQ2Iqo+a+a0uQ//Omz6/pk+e9LM++48DWB58OqfnXd1d/VpevcBincbqpfazslg5dP71d/SbDumGMPTYnPiuESwfAGcry9fuPMl5aUkPsSP6d/2W6/9cmraV792rc0Fuxk/LtC3jfI+9NqsZccFK6V/woz7atTvNWF67Xt5rQPtk493TPei/0vbyOPoXbH6icXn5ysSV5zYAroxgl3rVDzJHnccCGZ2r8vKTjOLF3dv+CNXT5skLaNY5rs2h63fugi620u75ux/gTCZw1x3gZvnUfM0Fbk88y6fpOI2FHDRJtWsvuN1zc+/ux0/+X21Lf6vsum7LbCv33TMBYCMRZW8OVTW93m8/PDlh/wG4BegCTEGuYy6/VWejY5dA8Etql4yp/u3uUb+6snrtuONtKvak09+ToLZKv60K5clAXeRnL7uBljhVPE/Xuc5HA8MqGgoIIRC7O/0iWpEn57yG2jkWA9QhaWax6GgZ7Y5hjdPMibjG1XlPoMGTM9bzBbKX0fX9BrX7fWsY7Jjm3PVxhgcCOOM6YaqDytHZZ+ibhet7yR5SVjJTduztWDjqkLvywxP4UD6rAet4i0KWfpem5ZeLpjc4eM3hansyEB3Lk8HY9zp9srO9H0NVnqpTc5V1jXvp1uMbpAgU3auI5r3vVX6M2n9vsyZjz7NTGXD7U0CjIMfoJaiVZfXqGqP9v/XeAjWGw1hvOW7Xs5LpyYZAqwENdLPlv5dndixdUeUvO9z1Jl3PywG5AN1e3cCogYR7Vfc0+CpvtPqkPFagwwvP9Dnf5qfBeTMb1UtPgEj7UV4qYGBN4vRFN/ISXNUgVw+0FJBMmGf0vroanWSxVbAU4KkTUdRf//HO1RMNavGR3zkw5ZXSoyVoHJbSsP8V2Fi7AEftFIfNNW3gwpkSaI3WA1s4q8YgI68MFq0LSmoFezpXN3hpQHCDWDYafWSDnub6be3q/9vf60P03nVIL1hQPnFuM+eX98u33aui/N21tdbjlucLxJbfmpkHHNFvbQ2w2L5rm+68lc5PAdYT4HuDC+u1F9R+9Vd/9Rsadv57vcpJZUCfWjnzWsBdnVf/Yq/aADLSoPbyc3nC5z7H9PqP7dNTMHR58jV/1Jw8+SBkoc/WBeS6VmW0fN5+uH/H0vdrg+2vMt2x4LIZ9dKnoGJ5Cw92bw9LgfgHdsvfsQK6ghQ7nk9rN3zzXdreObw8SmbpmH3f2BbUPq2pvbFL56bvV6cXoKl96DNq0bbVT3zwvTp3v5VSejqELeV7eFwYWz16FyRuv57mqLqkfoZ7ihvWJKfMER0NiLv0R+v6Va/56e9JUNvSit/LpFJaCEppq/+GZt4JL4MVwW7WpMhPM5wmCgM4xyYyRfau8rgldYTBpLTU4ipe9/KdkBFoiqOIx14UwZTAExohEC9NG5xUsfi9C7PRBQ1KI8pOieHOXYmH3eOWsYW66aPn4s2BEZByfAWx1ivK2NpRV+lyneXW31cReJQBZfJUulX+q/K/IAIldfmrBqpGuxkT91K+cg0/4b4NoIC3dgw0qwajQWz736zQNYB4VYAJCHBM+YSjUwAGnzRA3XzqA6epMoyPLo8WwNm9xiPW0lwH622K6cd//NRjZwMAAQAASURBVMdf/v/MZz7zUiK8dWff+I3f+KYEb0reWjJzUgVuTa3SSEp53/Hw5P/Tn/70y/PztoPhXrumLeyrM5qJgmTiV458nVHrW576tnGZr/0nKDO2VUF87nOfe+krx6pO7H5rZcvd0Ite0fe1Vjr4zqhUL6Bnv5srBvSWTbcMaee0VBNQdoO/zv917siGPnseoOtxUNHVBiFKkjn/155UbzbodG9jrHGlr+1WveNs6MUBqBFvH8ubfVZq+8Vh6e6bMhI3WHO9bs7Ussnqhzq693nU3b27c72qBWu3u/63GQL8VIAPALOXbLY5A2Z29/RmsXcNjwtrVlHfCgC11a4JJJ1jp/PS6ak9BbsNsm4QZszWQN9AVebjgkb6ybbRRTfzQ7/ge0Ayx1Om7cqe+3AoBcKCsAb2tVPm6gbY/BByvUando700zjaB75O2/VDbnPNzd/24fiu7/quz5t7Jeb1AcujLb8v3Zt1Juv2jygA6FjysPv0mcLABPKLRniBzHHUtVbcFKCu3sF3T0Gr/tCprQZ4ApTb+HIqlmyahBZKxdGqNqC0v/e4fhW+sSSGXhs4MbtmOQVZpSfnA7YCixzwCe3hYnOp+aCqFWYfgdM7B8DM9u99x3QDqu1Po5zZvdC1vNtlF2IGY+1+Hb/wC7/w3/B0g77OyQUdzHPpifYFWZRRA7Do2tFFpeRK9VU94sm1//NdMFyZt6We+tIssPM2JzbaaoWURJsKEnNu7horVTe1IhTwX7kozaprfd45NvbyJJXa0Pc0qK2zeAOL26pYG3X7TJhrPDGTQbtng9drHN6GiGmOv6gq5X6Z6ykjgQE6MZysCsnt05OyKo08JHyT93QNjNbfmpVtwP0kbE9I6Y6jNNwTIy8I3RoFDMugCnbQbPPiGbb38QHdOGdCVYevmY0JZQM5AeJFtil2zI2mF0XEJ5yyC3o0g/Ma77wNWWvmy/xRiHe+a7huEO3+rtN7FP0CwHSeytfo1T65XrMJFEsR2bWWhvZ3ig3y1tKrm+1uo1CLBK7djXraT+0nfuInXq679TNTyA00yWTRw0tfPMTJ4zB0DbnXlPj4f8GzTRZaiskZaGDrv2bHaqSqKzgOaE9G7DBYJ3Cfd7+PfvSjL1lqBpwzzVkw38AhQdetNilwVTl5ChT0+1ZKFNRrkF2gj4zXkeWA34CVrGjl49oH/FygqDrIcc2e7AWwtPHFHUuD8jqRvW6Bn8oXPWju7mYzDdyKahfQuNnx/T6d33WllZUef8u1jO/p1XMKOHgOqOM4Nnapp9eNcyV7zhEkA1LGe5yu8avnpW48srycKjSVZe9a61biVM/foKw6p3KncWTZzwLIV9ewKeVJnwsQ+K/BCnmq33JLXxtgOd69b9al9y8AVlnibwCK0LDOd20vp7j8W7l7LcAsXdG6Nrl9cnwfw9Nqg7Yn36P33D3sfzI+3Hhqk3o8m86ZLqDUrFCDC/Ndeb8+TUE/ZZ3VPeac39HMnfHVJtZedOz1GUoDvHHpVF+gAMXl06e5BDzRG9YmCpgKEj7pD3YOPXdsy2FrV0YzAIzkB7CiIMuOY9PZSYGjPVr2e4PQHbvKQUEzHUP2BmTt/D7XfX0aWLf7zpf1rNtm251Pxukpv7cSaNex9ILsvub/1K9Dg/JEaV3foIAlucZ/+HVysoDW4+D69IFmSP+Pd3W6RxvxJ4AbmjXNe+18Cb/6r7X1EmD3sVZeOxdoNF1M/12d+pRwu3EbPl8DVr8NHPsfCmop8RqVJ6elHawzXmGiDOq47TUmbKDocxV/ldGTAbsIUI+vEWr2txPZCe0usBjLOK6jdtsTslYDuP9mkAmkrEvpW2T+qb0tILvzUXp1/Z/md8//6sL1IqRrlBBnXZlAM3R7Tai6i6iMpwXrRX/rXHcMrme+KKFmAhskNKC9vHJp17m4NG1Qi3caVD319aL2vecNkFy7Qqy9how2KC7S+jS2J3CgwE2DkDosvUYzUvr1xP9r1q4q63wbn7qWtkzlrjt52O8zYA126IILKjjGtXssp6SlvsqShnQOFbZWrWtC6jg0UFrDvwzPzapVz+mjMdh4qfqFMV1flt2y22IrTOwUubZrNEt7HacGzK/xTpv+VZYaCJvvggv6XgesvHX1nGMuoFPbUN3LUOvfPe4Cj92opYDnkw3CEx3/a7q82Z+WUxeEqmEvkPSUEXdtfEWn3jFwctnIa0Oqc65M3aDabt5oIuswJ8aOoRwwcjDZUHq9/3a+UrdlC9bvOZST0X3ndHoUVjdVW5vMeRSGbK4qkc7zDQivTqo9NUcel8X5afD+Gl0aMNz5KUhVPVOwpEFqsw31IdjCBlcNbK/OrZzWmew7OeweCDf7UV211ntcEBiPlSZ0/fVDbis/Xlv4dGzv2fGaM5uxPQVste1k7padmrMrd84TjABZKm90Nnrqpyxg+cE4qzcuWG0e8cXvRpfyunOvzujxznnNpgLKurkOGk4+J+dPfqlxO7a+SjdPrAyOlrKjAiPzU31ux13+9M53Pb/ZBb878Mo8rz82I7JZneBT8GauVBVKFu2+5f/6NYJ+wV0rJgS8YpPrTz7xd/VM5+2+Cgyg8a0+QLs1y/66E7oAsBs0/fqv//qb6hvzsf9GB3GMTUbpI9Uh9HWTB11KhG/wa0F88kKG9M2x9Rteqwp4kgt7irxvQa0ys3b2qXUQdRYw6l4cTUjyGHAIy3YXm5HafWx33xIRgU0drLU+y219M8ndbWv/Y861lk2UoFWGa5ukTehQIzXsVRhrN4Dp9SoMFzH/tV/7tRfngjG5Cq27sNao1QDetVkQmRqIzkcNJ4PNEeuul6472q5tLpynbKEl292R0b33fejRrjenHZoj64Qf9Nvnp4zErjWBbTkEB+IGs/1+g9oa8F6/rc6Lcyk5AVMdHedfga2cNCB2PnT9tV2/L2re+5RXbnDtN05seQD9urlRs0XK5krXriMV+HWN1prdegV+eM2GDk8Bs6b8XnbUw9mLFHJOIKjoqG8ccnOiPLIZnK3b+tqv/dqX92Vq0Z0xq6KHPkOUOyeVsb12fygmNNX4ldK4NkNB+e9YJfqes7uggZHb9ax53PE2V+vYzJ+xt6riNWTfsUqpryNlDOSyJUhoplXPXofr2oMnJ75g1Q2Ou4lXz2nAuWae8ElB2F7fPBtb+1Vn1LXrSGwugaB70ZP0Axu1OWwlRfvOFqlo6Bo846Dry3edx+odTpBxbKycmtlUJXx+L5hLH0w3D1iZjdsu9+hnHe0cQ0tJlIzutWBV+fd40nq62XCPhtt1vuIrvuLl2svsGrex1RkCbJLxZtjZADw1us5+9mkK6HNLYWtDuoyktO2x5VM87ZiWv14wiF7qcp+Cl2wSB3OyfZ+vK+BX7tryV7yD7ziU7ttnagtAXFNfjYV809d4nmyQy9IFWFH6uNfN1F6+73W0XUvmX5l/s78FB6o37NbaYPeCC7WJdIDvDd7xXjNQ+MN7A+YLBmj63cxx+1T6lyfb1/JTf78+w2tN6ebuLbNnYyNzZ1nFXoLGgsP0p0BvumM6RGDbPu0YSRnVe5agCcKAuXY53jVt9lTauSY/9G4+OAAaPT3VQBJs7/W1p4P2NJGv+ZqvedFtHgvU+XCssdZe8jPWptMAg1dXlL8bpJL9ylTnrksK+PiWrLDxBVymN/nLflOSvXHSR7/+67/+Qpf6LWQMsDA60u0XeFmfuuv/5gldWv6sBHrX43PRTTtu8uyRUsbL3zT2Lp/jJ9OBbNXGMj/t2sj3LKjdTYo0EN4bRVMyRRERDBEFBhugbMlQmhFx23NvsgjXGoYxeTKEO38TOMYlxLsupGbncBj3+5xlge3+s3nMxmMyoc2YeP1rzT2Dy4g20MHgrcmvIUG3XWNrDznvr22Lf3dCuwjhRUJqzIpIMVTNLFSw0ZpDzTHpBhyjMSZtmdyOEdSOfh0LwYT2VdnvOwNtHA381swLI7zrF8G6Qe/N6D8Fq0XN8SoFZmxdT0Rg0dbcG1dR4BqtOhvXKHoXeDbzpbl+y/Pr0BuD3ambEWiwVkPZ0r+izO7fYLlBSftVxLzO3sCZObLj59KnjtET8NN5NG/jjemBKUzKUDByN/eA6N7lBPs8hagkcnIsqN3veHnHW1NiB2Y7KTMON0sv4NEHwdJ+272gzTcwqfwKelyvjnY3+qBnGgQ0k1InrSBHAzTHPdH96vDy2M3Qu2dlCKJLBoAo5eH2pyWYDDvj++Qw1Gl1vABzbedtnubYmGtBHBlvJsV6L0sgWsp1s7OVAf9VvisbHodCZ/n/0t3xHIuCL3WMBCSlTR1e5YFsD6BYpkJguXVg+Hn3m63dC0gtOFJVYyMS2VfPvezuxmREVQHgqxlttrKPdGrpp6UNqnY8gqNVEOzCE9i7Pmy5At5/m7NfkLWBbyu5XMNxV97IS9d2NjtcnccGk+2WFtoks+XY5g74Mn+l56sk6a7uAuGWwDcLozS/9rH+F7mv3rkgccGgm6kqjcjba/qlclT7vn7vXI9hwwO14fVfNqY69+SjAD9am48noK2gkCRJ+6Vv5SkgQG1l5bm85rcLnpSHLxhy9bjr1Ge5OuS2yaNHozVpU5vV/UGUI+NjQAbZlRWdnHUzUGB451GAww+vH+h6fF9zCUyQDZ3PXtARffTNvgZAjcUL2xuDHl0/BerTW5YmWGJkPmsT1sgz4IhceKauBBk+e9It7H9bfb/yXzOW5feNS79G7y4zEnfst8Us69sq3FRC7vxf/uVfflPK74kmloVtWSF7Z58RFS7iqc1hA1wArX1Ndp4NGwd0LID9+Mc//sae79zFCWiy4+id2tZdG62rk+hRFax82RtLvqdBbR3H6zRhQO8NCC4CXpSMU4pRd23PlmxGZI3i3++OX/Mct01KF/Kv7bdNpmCTAwppwogtPXwhzrtoKHSjpccUTcd2nZgqzga2AkhOGGT+yensph2u1aCjyk+rs3vnq9d1HgOmlKPPx7sGg2NDwVJSbyv9qhOH+Tc/46ei8+bAOc7r1vTmlbNaZ6O07qv8eHkUbVq2hB49ps45I/taZqrB8Gt9uca2xvOeg66li3EzFhbUVzGUl4v0lsb4pSUeFy0ujctzHdO+25jg6ob24UlXPLWNaVmYKc06yU/zrM/0SgNzBna8NrRzweyu2XWvdeDwaIEEIEerN3YfslC571zpJ2fitZ2jSwt8XjS9Tr6gx/X7unLT7+bktaDxyUEsf/da1WXl+Qu2+b3VDhz+6fbeS5DTKiDH15ljGOl/QXKDWjq1lRtoBgEWpFsvas2o4LI2qp8b+KzVHugLXumY20pHeneOQh3hJxCpJYENqEunlhf3sRp+k/lXBr9+CxQ4saMjMFP5PYDFWjvBqsob2SF8KajY/wOrofz0fddkdZ0tXjSe2rLSzzqx2asCI3WEn3SNzNOObeD4mn6781c6y6RWTzf7Q/bpBi9ZWkFTK9Zkf+u/8BcEq10nvaacu9nulgVesOiOt2MrvSvH5eVrP8nZU1D7NhATDwNi5vPZL6D3r5MtwG8GtTrcvPBd2GtB+ZNPyu8r2NiA9crla2MqTQs2GefVg5dOT77Tk624/7dJQBg7/dKKJkHtrTbT34Ll5mUvwC/QhT8mc9dgVnDca7GnQE/B1K7lealL9ADb+MSC7H3mg3ocJGCvAZOlEwDWro8t312g9SmoBXRX977W+l/t5/U7q7t73n4D1LLz7BI6mluA5Ta9LPjxX/JM9QWxngqx8xd87lp0+PyrjW26eTGOpSGCYjzkOcFrffY6IGFBrJhs/bAJsPktgF3fomB1ddKuu6BW0quVqO95UAtNW6frCD0JXJ2RZrH6vVG7zyPQGHaE3auM1PJAqe3913pzjE6IoR92rZzQERQKwE6bFyFX8vDlX/7lL+/WBDgWQ9apWWug0hfly1mYAGMgTvtFgrowvoyDxvuMFs0M1RFy3xrROQOuBaUaEw19WXDSzT4uIicgNRcyzf7Xr7VbRohWULBel/KVucRfoxF0WwaBkmqJz3W0+3sdpM5dDbOGXms1eBwnfHMzZs3kPQEP5Y3KyXXiioj3VUWDj5o1cO3rRCn9oOwZAEYJr/cB3HWcr3Im+zWIu+6Un8f5dA6elDpa3EZ5jfe2fT5FvP4xhsb4lJUHVLn+FPbQ4133E5/4xEuJJcPhmGYz8Gkdwa4pr2Mk01RAAO3IFkRS+fRrjmQDOetX6EU8C+1tcNjgAG3xZHVuAYEnPd1SxKLIdYo7j/itgWkDNXMiUMGvfdRSS7TQE43J/5XpLsFAo/0/HbSqF3pLv2Xm6CHBnjFxyGYXVh7r+dp1YLv/QJH1vduAZd83xzKiMpc3KC8IQK9Dv1UeXVtkDN2Mo+XtO7brsC29YS85RcY7efiSL/mSN8Hdxrfy4FVaAKeUCO9eO94Ow5MnGbA5TQtYd1/O6ZwRmaLZzH1eCeCOYyM2b60YYbduFg/foHedHxmk0W7XbibjbW3X21gAR73u5fE6ntXfnHSgLJlWAUDm8VydOctuAAAegTKH3g7UN7Ay/m76AmTYMX12/Pwn8gsoka27YIlrXxns3hYXdKV/ql8asLRdP6l0dV9B1Ma2ioLx1/iG3NRnFKgXTOz48G1LV50rg62Pzb43+JORK0jQ+SsNngLQ8gk/ocH7U4B7feMGOxc4bBXSU7DbMnz+mbLuNX7mBSFbfu7c6bLJ/HzC+aqCWkEL+liWMD0hmFXFQYZVwgEVG2hP95Ll3Q+PdMkRe2HcLa8evzT7a7kTOVRBWHkUsBozvblX/SKVm/ym+nua+WqWlo425nt8l301wafv5BDgutiLjK2Py8jKQuNV/Pm/vWvLvvM7v/NFJqbXf+Znfuad7/me73m5Jx//h3/4h1+C4m/91m998Ys8E3b/swuj7Tbx3O/7LDZYH3dvWWKBMZCh48HvjWsaO1ZH7rjZ8ZVR755dIva+BLVzWjcoaylfK7+og9jsAgHq+pEiWTo+ZmUkbSu9/6wN4DjV6WKgbTBDoCkaCIb3Gj+B4RpnidFbdscW4y1fuGOu0qdImjlrEMIgbxt7u8W9hgJ2Ta0scxVUnUilTXUuG9RCgdegNZzOMehenkMIhaljLSjmzClh6xi6rgmd2gcZAIpK3bz1ujIw+Gu/WUc7ARqTF7njIAjMGgCaj9vqpJub63jWwXdOSwQ7T+VFGV9Op4ChpaqUVg0YGnFamqE3d3fjrmvYyJEM1poAwWuKqUG6c/bZFvHQ1hrkXs99GVlI+xSkx9KU7qVt29PvskDjiTk51ibi+2Y+btByM9H7fWP54Ac/+PL567/+699sGqE6wnHN7lYW+3KPG8zd7NnluTqHdYxaHSBj5nqMAVlnhJsFfNKprzmugLobUJd3Ogathqd6qk5YM0t0HP1RpJwDz8nAm83SrdUQClA5+eYdvegKNNTG54LGtW4EpkS+jyyQHUJ719u9letad0X3tHQV0NNNN/DqbehEt3AA97tdbutwu44yrDoA5c0GTTtvdhTQy9G0rAcQsGNmzxcYco4WrHpsz87b47XmGC3osq6N3px95PyWF3bNj33sYy/9scs457HABMenfG7sBQnrGI6+c3w2jwCq2t++l+bmRN89Wsk9C1jgzQLwtePmubSQSTU3dKjfXKuP25jO9BiUyUb7Xf3ER1EiXrmVed9Y5pzKYgEg9K+fC7CpVjBGYBn+pk849A02C9pcmtPN1Uf9zKm37vL7v//7X8CW8Uv1jnvzyYA45BcosMCLbpGh4hfIUAnglHSuAcbxGZ3U3V6BX7WZzqnuavDegMUY2gqY9JjXAlat9ufaUIGZx99VJ+LRPvLLNfA+WghE6abKCH053aGSaveZTNrUkCx0/vRBZRkAc/drVUlpIzNYnx04iQb2sSCn9CE97nE8LWGVPClI0DXoll5M51kfekGGO4+Xz/F+57ayVD4qv+lTberoMH23/izgw+sqYvb0hI985CNvAvXp2+2NIBE3/aw6RPLiy77sy17uuUcnstuW5Oz36fbpfuujd84eibiS5y0No3M2F9P15mF9BPJ2iRc+K21KO4CL9dt8WYDU+5ap3Ws17BX+p2AMo1RwDaYDui+ORVELQlyGaYYOszVb4/c6nZSHfvde3XyG0vOAY7v7Wo/Q4MQ9W+bbDUrua7/bgnyMSagx+lqFpsExJ61ZoVuW0Exuz6vB3ct4KSrKS0BlDGXCliw3WKUQii53rozJsdAm40QbQYOMhLF0XSMhcW18WAeyDk75ot/1o/OkObZBR9H368yu4cc6RkVt60Q0M1cH1foFz2NruRkl21340KB83sClDocAidLjlDvHxjXj+93DWtYCT+7XcZgDBkB5UuX8KXvyZLQbOCtB2TW7lqX6xBx2nmTIHKdEcr8Nvewu3Q3OyE8Nyg36q4zR1H++13n1XzNRl0fxZnnbNXxfn6t3boCMDheEKN8/6dHOQefrBrF1Ji5gRV8KQnuuLOTmUOAjqNp5NrtqlcmuM0NMD6CrtVS7bjfU4LAKBmXQxr/VxdYt9nEDN+txbZHfOQN+Ayjd4GvfBR6vOaSX3j4L9lQXlb7lB1nSK4ucd79zwAXkgF0bkAFe9x8gi+wAxfRFFtAO/aUDW7HGNlkXSY5UStXprEyRi4KvBc+ufMq2j84c6td8EK122r0FXeV17VYL1Faxi4Lx7nnR4LtrMsnoXpOHycFeeyzSglobbKHv5RN9VBlVeaUj15/N6eRnfsvmx8aWqrxcp/qW/qGrq2NL/2tP7zFPNL+O/k2E1O6jycansk6rrey6cWAZwKxrQVu9ZN5cE1hWub/2sksSRsfRtevvLwBZ+l1foPxJdzfgKw2vji7N30bvNfpv/XV++VYGsL4svXvnhW3FG3S1RIIA3NInvMlf4RvwSwHC9DD9Qf+Rx/pkklX0Ef4R6PGLdh7gwb2Mk9zXn6W/CshcWb0JhvrWbU/z0bl2vf7uc3lFhUCXIDSp4T7mEYDBLx3A8AXv7lVDfsyZTS+7y7M1tKvuWFyHN1R4bI4AFzYEZH9Hc3FRS84vj61VJq7cX1psjLsvvqy/9r4EtUNipoAXlSN8Ua5OMMZ5CmrvQDrZfsOUFS5M/8Q4d9MWQtz1F45rQEPQ3NOrO7h1x646ElU4mE7AhnEIqM/7f8p3tFxQCxG949EIVTOtRdOMo4xSZ8t5EMybmeYY2i1TEE0ZlXYComaQuokO5+oyq/Mxpn7f4Jwgc7b8T2hlQJRkMNZ4pQrjCVBocFnaNUjUV0rPdw4rZV4wwv8NWtyjmYH2C22MWSCHNzjuLddRYrgmuEbvrsm2XrGOlMDAhlJ7yfxYp4KucxYgdoxE57I02nXHXxw14EaNOV4pX7/N6SdP1o1Aha/8FbDRanx2vLLOjWXKu6V1N+PQ4LDlQw3q6hhx0o23wELnRVD9BBDUWbl60H0Zus6pftUZ05+bTa2eqqNYMKn8X11dR616Tx8v2HCNuY34lEGNR+hXGZmNb/O7NjotawiAMQebR0tHbHKxsXjO8IyzslsbBwKm6C07+dbIuj8DTaZuUOu3AnKVbYEzPVraX/6uo6l1w45uoGQOyO8TmLt7+50uhLaPzoKrXVfweoHI8rCMNDuKB2Wt9B2Y1WUju87mYvqbfJX/39Y4RC3/b9DhmO75AKwArqDxdT4rA57t2kzwU1BbGvca9LpS2O4K28oRlUP0kgziMhHT8dPFk4n5AYJalTTmC78AevEK2uq3UtDNh3LQ3W9AnuD7+mKVXTqlAU51xdUl1QV3jq4e0aonel0+CyBzdBko1QCuenN0Gb1mG/bOubckir/UMbfqqXStPu/84nnLdkbP0VLg1E2+rBWvvWjm//rHFzQrwFJaO+a+noAxTVZyWbZeq+CpZUilyQ08LrhUoKzyY82tMt2C8AAfNrkbqbXirGMgzw2o8bed1+sDA+vogPWte7B0b5GO0/jK950XvsV9fuuT31LfzrwV2L9+Ra9T/maDyPT6VN+fDr7ZS4kEMctv/MZvvJxj07/dQ4IAOGnJojXs00c7B0i8c1eZC8wAmAGMgJ3TV0ty7r7dpI18kPuCUo3TbjwnqOU3iteauHhPg1op56WrdQDxCXIFspmEKsjrHHv3+0WxynBdL1TU5abzMeX+IwhFNwQKmJXR5YTadQxhBVBFkIsANfAW6Bl3S4g3YZ/97Gdf1gs2q1Tjep2dKe4xD+dK6TC6MXDXASUM7usZoALUOizKzdyPkuVI7ljOYR3u3UOAXAer/NDg4ZYiU3iyA/pm3ZXfOGtKpZTV7TpdW1eF9ISwo6kynGY2tQpl51ogKyA0ljpTzYa7Lz4uv9+gwmMNZqgFh0XPlb9zOtBMycoUvrF4Tpn5bIadEYF0yni1xFdZ+QKDvQQONpdRbmW8668dVi9Y8aJkHoLi8tBt5t129bvv+lGn0/kABvzBcKLRzlViecuPXss4WMtDNihru8DWQeDo41H3bPZxxwium7mtkauyb0AKweXomy9Gu3zkvOsg1Unt48vMD8fhZpGbKV2zccN10IrCM4LGNoSXnFsaoo9ow2FE7wW7+92mRl3usPNl6XY/G1yoMIAir58cEplTj7gR2Ox6HnkxHlcm6z7sirVCu0Z3zueIo5eyOuvyXgNutPJzS7YLuprrAmmdqzZzAQBQNikIWisoh0/ZPMDC/qdb6dHJn0c39H7+X9nonCY2kJ2mH1vFQ3+QW7rHXHVzFvdB5x2z8jvli5cODUAvbYy7wcFdX1ig0NgqZ7LR7A9+W3+UsBfgwhdzGudsLojdsiOlmjJWtUd0TnlhvMuZbd849e5ns6Udu3t5ooRHMnH0rSfGUwVe65NcGtbx7wYw1Z8afXed/c4RH4HO2txO52/JSPm8QL7MuM/kkQ28gav7NTCsr9lAg67YMTKBe22+AHKqDwS8013Wj6tqaED7WnvyfZ/AhAZGbDl/9jr76/Pm/UMf+tCb86rPJAXwMWCoPjy+bdBbe7ZzBlRKgiibFyT5fXS5oAyfqgCAfQLY7MpyQemv+7qve/l9czQe2UZHHl+jzJYu4dPb7Xfj75pmPhy+ulUM+ryxXSD4NrsrFwhrIF1AynXrq5pPm0NWzujSne/RNqPDKjwsGfyxH/uxl35+5jOfeefbvu3bXv6bndux4wNgUStTGjTPd5OU2/uC2Z0/e/193/d9L7RevDK+Gs1Hs63X3V5DswubZ3FPfWeyT46vLuArNthdX/XdZmQ3mfmeBrUb5BTyaqp1kvJtIGPy6qQ1s9WA13fnPDUOEmFwzzrWDeouQyGY0rCi90XVjKm7EzZYKrKjv82ecDybuVxz7u49GirHK3LZsffzrgmVriFqoECRo0WdWGNupo9BwshTRMp1BDsdZwXMd5+rkBknCgPqVrSpzrqgi4OOT2RhmjFpaR6nsfexjqyK4oIQHc9+23UgY7eE1f2LsJWvG7wWjLhoHOe9yJ2mj/hgynuOoyDKnPZaZIfzw3FtZhvK1bUt6EIOmnW//Yek4iPPlCvg4rh9n0KdIsUTnEf/V9m3PRkIMik49wD1Ol91gvCOcXaTiDqIDaD9f5Ul2Zdx4sy2suCujaYr8EGRbM5CM4Dow6gUqb0KHt/eDHB1Tx3yGuXqgQIa0zuXzzufleXybxHsymXH0xdnYQZPNmO0mvPRdecc0DUA3O47nlaqCaGv/DSjIGgTXMzRoUcEwObbI8dUJYy39xLMymqhbTMM+KD0uTpe1u7qxvIeAKR6ic2gJ5+cgYJTNxNgLhokoqnr4nfzWL3ApjgPr9G5RdoLGDZILLhbQM58XV1jLAUb2Vi2wn3YLCXUrc64erigYnVNKxn8dh3Rp4xC5Y0t4hf08X/lUXNmTNOPcxb38ixJoEt1h6qZAnC7tud4kz22df3fdcyX4NhzXwXD4+/J4pxv+hzA0bWE5tP1yPtTJq/B8AXjy+v1+2pjrr8nqJ2jfIG9G+BOJ5gz9Af2AyIKXuhngwj0rix1ydvoVpkroMeu1Lbg0WsPqisuT11e7X+u2c9P/mabIOjaYjxdEL8BfdeX8rX6Kig0u7zgZrZ5wb5gdgAK8HvXs4zEvNuEjw/CRzAH7AY7uM+yw/s84GzjAiCNn/l9wGbr5HdPABDbW59X4gQvd2753JZ7Vec+BViTzWUr7/xd3VzbWnvh+q06uTrIk11aObpz10fA73779//+37/RRRvjvg+A2H8/93M/98ZX2su6fslKyYNVjuw1nbX7TSa39n/38LzcrcdlM+19ZD7NGX6qz3L9ixvr2G9o+zrwo8jg+xLUbqI3wBFhg7craQOC62DVWerrBr1vC2i1q4iuE9BjKLEGmbfkotnZolRFGqq4KQsCWCXTdahVpmv6yNgIUp+C2ksH60caMN8grUgphxwypSzE2pOWC0O/dzyBr1J03WtU1i7aqe8X/UUXSrjG0VzsuAlskdhL55bIQa4YHgFu59znghrlQ4q1CKbmGhw6CucGFDegrfJzXJ27p8Da/XbOhHiZLc9c5Ty6lvlyPYq7j3EwNs4KJY4W0FlrXorK1gHeORwkrUGTJrM/FK/Gs7x8lXp5qNf2ItvWnsvKdB71UVDLEBuLeahsP8lXg6Su4eCYWHtE7jibzqtjg0+7+YzAuv0oMKGvfZUeV691jsmuc6p3BKNoBeSwO3X5vEb0zo85Nb7KffVP+9/ASAApqJ0BVCXTDCR+E3hzjDyypSh+Awk0WFPCaZd+pcBk2ZggwJunOWPrG6S/a8XwVoNacvMU9AAP7yZwT7bN9fBw59v6WsFEdeqtBKkuKc9V/zbYrKNF1guqyaSYV/PTcdSuVmc0KK1TfXmjGQO617hrn/s/2nuMD5+jAVP7WFulz+VNx1Y31Xe4Pkp1PPqyaWhQQL3/T38tCNhrenKBgJ1k6fDbB7qIHr9Auf6z13gFqOJ9Nn82EqCtLJ+9aXDccVbma7Orm6qHrk/yxO/OvZ8rQ6PN6MRXcO+CDdbxAQ1VHG3M1XkXzMVn5qo0LmDRMVZGWx1X+bxrPZsRvEmetznnT4Fvg/ILHlXOtOu/GUOX5Fw/pD7lPrNX6FOAhX8GPFz1geBG4KV1fevu0+cLq0KoDTO3bLm1u+2XYwRgSr+7+3jnq/JUuu3+gt9LQ8FVK4LQ6onHR4fOYeeydK4MuSY6VDddWUM75cUq5iwp3OZw04mW5fwv74Jiu97s4Y4ZnRa70SeytyqLLFlgf20quGBW8Dt6D1hY4sUSIYkV/LbWxyV2TG/zvfAEm13ZvLR8T4Nai4yXkqZUMGGV1RVmgnN/b4a1g9SagdQaeGqc/SKvdRCqFDhHe1XoCFvv034iOAeJoFNiRSoa3PlvzMY5v8y+pm+3QS7m3CuHxjRXQUKqoE7OFcTMYAgYJySys2hdR4hTXGQKctJ5vsJ6nZ4qWgvV8QHHlRLBR44vfTrXyo8h1Bu33e+gX4IRQT7gg8LcseZTlqf3uGvN1popr7HHI5dvavQZVGO/vE45GAMn1Nzh4wbZ19ks4ENWL6jDAb7OtOu4Rx8dcjN1NYBDAeeErHrD+OpY3vm7Ttn9r33Z+HftIbLj3SnvJ7TUuBuEur9xuGadhCrVOpb7veVCjF71EcemwfOasvA2gANDXZCoZU+3OqJOi7HRt2hdEK0BYoE+15hxWqmRxrh3nbFxVo4LChQQbF8bCKGDAH8Gc+fNEA7ptdGP53LSr/jLZkZ239zxMkyyrQKoZs04tpZPNEjg5ChDx9f2TfB75dkmSrI+nuPdfSRK7zl4LU8uHdvQq7qzoJmNPmz20WqL8nF5f781k09G8Apb1D44zv8tTW8Q2PcGn+aOPHAqr+wDz/DGtXOu001ZLhjH/trMkP6qfqlDe5s+mzM8eiuOyuf9rfRfI68yovrdwF9V1vhipYF2L+Vo8iXs0rpr7Bxl8ejNeV1AXODtggvV3ztn95Ht8izJ7tUg83N9HUEfvkSPVhc0E/Nau0C4uXktAN41rQfcI0hWgmyjq4J3tXH7n52XLHBvdrMBlHlrEqMAROWjVQb0hb5YYmFcslP6gEYFwPq5MojuBQ2fwJSCSOb9Kaj1XNLycv3c+li9lsfe8DMFUYJY+mM8s0eATZ8vQ7njZqNXjqoE3DyzezaPq92tT1IfBo9bF25p1nbeNQ+7N5vnuNHe7rsqMu9+Fn2OK/4tKCW4ssEhfU7mAdFtv/Irv/LON33TN73xfYz7+sdPiQ+82jnHb/TN+m8pmCUOfTrCxrTfNxf/y7uVZnT//hutlvns0iWby3lKAB9lY99cLRO74HW/rex55+Fxc4qmsr/V8RcA89vVs9XfNpMEYFgGxh68L0Et4zlHcww2onsuGoXVCeqEdZA16E8D9xtH7gasJr3O5R10HZoSEeEpp4uoU0ZFbfWtJb9VMkXnGjRQHH3+3BRA1xA02L80WKOsFzwwfpd5bsaLQ0vBWtztgcbrlyAcbbsZSpUxI3czlpgZ88l6rl9ABnNYFMe12t8aDPdpULyG3rvPFJeyk5VJbLyeWYbmBTP0iTJb00elrXXoOCh2YcSDDKt7oIVACh3r7DXQuBmZqwTJTR2GBk0UHceyvG4tEPpVTpxvHFfeerz7KWcWGL4WrA/JW4nL03MQCyL9bq0Ou77svsrR5tB53ix5r/wDSxjJq0suAFTlWmf7BvJ4of1rH53T8yCprlkHqHTudRgUhrOASZHi+6reuCBHs1mT++mQGeArU2T+Oh13PmqY3ff28Ro8Orxr4uy2az3h6Kvsb685R8rFrGmqw97+NZiWebI2qXpefxqk7bv1zn1cV891XDdCKW0aVADGyHxt1OX10m/3ttv46DTDzjnH6+hYPXH5uNe/PGrcDWLpxGZaa7u02oP9z4Z0XP4riFC9VYetNgXf1sFshYgghGOjxLRgz5MOuWCa6xaodC19aCBdPrhZ0kujbvDifxutLEhbZduCNAElPkFTzuauuf+szS6Q2bHiGXPeTBq71KBisrYMyx7xocQeAC4ge9Ldgj/9bKWYoLHgyqV5+1va3d8qT2zpD/zAD7zY9Mnmbdf3adBrPoHD+tts99UhBV0KPPdaaFobUVrReYK3gkC97qVNgYTq3wa0twKwv9cPcD1z28qW+m7smj4Azubv2KhMMmafB34AnfY+ezyAGZC147qB1vUnxp8LuASowJb6MR0vnWVvEHK/wHk8YX8NckEv0p87pk9OoN8FruS2QV7tGEAVcFo7p69t1spvjJWPbmrVwLixzAWUKh+1zX10JVC5c9pz/6fsXQD82fGjJ7+dfaVrC/7rjySO1qdQlN4qsiwn1O/6lvpDp9V3MefzT0ZLQDLd+FTy/Z4FtTo5IkxR7+af+MQn/hvH+WlAzr/Xuu12/iIaFERRQ8H2vWYDa4xbg3udy6e+1WGr43ezYPp0USglaS/EfhfhazBd43kdb/cfI0xIJ6xlJgpW0PgUUNuwA9oLITYuxl2/Grg7xhgbKGq7PyOJUY2943lyvOqY3Cxis4Kl5/pqrHZ73Ge7mhrPLatUFujaMtYUdY1DswU1oEUWy2d1hht4lt+uo3UN2FWYN3AhX1WOlakGKPpQ/vd+0fUCKs1oCWpd78oJvpwSWgai8/IUFN12aYhe/X/3H98vSzuF1/nA4+ja0rDX7lkaV7E+VWmQL+O5gfKlH3CjAI3rt7LizvXVW3infeoxdMVrtCw/4dX1B/LcUqny8w2I25/+VofL8QWwGkSWBuS1aC+nu2DTjh3wx6Da4M4SCnwKPLpB251n17y63pxB8um9ylUBj67HunSQ5WkG8QkguPODJnMa50ySb3LK6boOUXWSd06iY2sfy6tXB+EBtqqZIOeXvoJa/bz6qbQpP9xrPAW1Xvpz7U+ziOXBK0udR808tX9XFi8gWBt457K2qSWv9OLkbbLmMYiACrame0G0/PLJL9p4geEyuzZSHE0FLWuybWzq/l9QuwqJvTivAtK7U+n1e+iitQZX9YVKp0vzO5arS6+s0gvbu2V0sxwH3/ecS7NW15Bvc4f2+OnKIeCtura+bDPFrt1xVsc1S9qxXTpUpp/8geoYfW5Qe6sHKgfjCeuOW17eJMoFnM0XGquEsWMuneB5pPTVfK/SRL/0pb6BBAL/dLqkfl+XdzRZRVeP7zeu6qfa6N1HWbHlVvp29cMFkP3Oby7Id+nTNtke+D7gqHNzbWArr9r3ztvVSU0e3ViI/LtOwa/fObqzvl8D6ptRLkjcKsW1gjw33vO5VbuXVq/Fg/o6OqpUEdQWOHtfglodGXNtN6wFFNuJCzMX3VprkPc0wDoNT4M14DedjQASUs5vkbgGRveaDRQaVF2Df42f8TCO7tdNMRqAKbf1DC8ZgV2razD0Ux+uAjS2TXYXeTtfUEuAus4HKsZZ4RjeNTR7ZzC7hkJm9Aaa5rm7x8mOrEH4ONYUUNcjOlZfNr6WubpfNwTTJ8/pmzMoe7KySgGFzDRltr5ZO2DulLLtd+icBuWs8ZthLe0uKIE3GkAWLXe98qFxlpf7P4e/DniPN//motm9ggp1mlq5cBV678P5uYECVHDXX5A052MKfb9xPq4zfctqK8OV8ypWfZ1js8B5O/B9wzd8w5s+NhsvQ7fm/k86pYHbk4PS9zotsvDofB336rKCZ83gPmV6qvjLQzaxcL3yzfpiR0BGu/enA6H4rr/qms3T5qzz0gqLm03Aa9ew42nfC6qtMcDXAZXNMseTy84PmuzaQ+P3bldRgNwNQmqEq885st39+wZ4guz2t05Cg4OWr1aH7bsdQO0uX9m/PN++e07gV33VV73JUM2mbu5tetUA2Zw3WCSPAhW2oH00T2vdlAVIcDPhfaxbl224F13ZzDEb4L4qeKx/64Y8guI6eIK9Zr79fh1BNqfAqFYbfeUfnxYAa2uGoXJVfVIwBx+hn4zS5s7aWet/jUmgsKBgzvmyO3UsZXUcV97x+A27GZf+5ty+GWwcPlMqKtuiVB5vk/vqPfqGbsIvxl971c0HS887B9Uv5vCCJ2uj32y65Qt1xK++aUDsvni2Phyb2EqcyqfrVN9Xv1xgozzgP3yOVy49S5v2rf6Ya19QoCXHeOnS2PXGgwuyNt/KkcuD5rSARp+3u2Ztv1J4NN6c2CNBMMMetxQfDfpoGY+02n0AgcbZoBYYrCpv99t48P0NdshOn1yw/y1xYf/xrIDVng93SYG9b/CS82+csLZqwZ/6qZ9652u+5ms+DzwoqEwvkTWgXQGmzqH7Tn82yKt/w7do6e9vZ0NbtMcnluU0AVJ/1/n8HBUo10+kbwBz97cCDE1CFPy5QPP6YN+BVWpZpmVn9/ctqC3SuvfdcGXIczx0GtJmEloqWwfnaaB1Kuo0lBB1FoscNlArilNFdIMGE2BsWpm/Csp7DW3HZTzKhyx6Vv6wPnuek/vUQLfUR+tYh2RYn7vruBfB4TxbX2CTHVnaPtqhTqxzPLuqxoHg1ehxBs21h55fWgsoBTuCZ4qQ8HLKGABB6fozoXRtfcIHkBzjXXmKxxMJrCll65gYcutEKPxmai1UFyCjVwP3ZprMYw0gxfX0GBnzzTksDxYgapkT+tsgqxkZhuZumd+Suyo9fN31zWvdOK3Ku6W+lOro9rM/+7Mv5cfjM/fV199L5vYq8soQmab0Zwh3T87yDS6ayak+6VrNZnZLk47tBp7l/+q+9ts1C/yYx57DyTK+ymABwLWuo6xR7vqSzZeglDygm3L0tfH5wIfR8AIMN1tbOWSEBQQXbCoI1eBGxgR9GmTRuYJztOOIA+3WZ9kTj6dyz5tl0KfSvE5cnf7qMeDNrURAA0a7+rFrC821rFyR8svTt+0aWzO4Mr4FKbOjO8/jQXbt3W/XNeZW5TQ7qK/XkTBPBYlca83urhcIUVlU57mBQbMu7rs2O2eePIqD00g/mEP8RAY4k12v2ycUmDuZI30WuD3Z8bbOVx1uuqSycP2Uysv1E1RCoZF+j2+/8iu/8p2PfvSjL/0foGQd+eZUcLqS4NpXvIjGwIXdSwmi8uuCzMZX2uxe5HFBwbKeeHfr5PZ/19gK5sovtemzMQ2k0Mf8XSDhqRW8QnNzfIO7Pfpw9Pjwhz/8ecmSlkU7t8BgAZLqcONg6/Xhlszqxw1kO95mPC+v1Ca5RgO3+jLXdtQ+CPKe1tGaq8uj/JABKh/5yEfeBJwCN2AfmpV2tau1A8qLx698WEBVN2ni73ae0HvBinkpqEU/SZDY+NN6aVU7+NpmSMbKdvC1xudorxyW3uHXA2jsEUNe9Q0QenmTT3N1zP4bCDMZ99is2gl9K481sEQDvIIv+lza+lZoyuZJuNTX+6139bk9COjl6pPuh0Qm+BzVlewk/dsMbWng/yZUSqvymrH77FGW68dsInDCbtZPNvQ9zdR6jWhDKRBOEGMwdS4J4HVyX7uH9yqUBhS9LmNLISBqlUOv63Od6iqwovV34nrNp8+7NwEXcHZXzVt6XJo80QVTtFR2DYpPcZbRbJaCSWQsXE9Af8GFNQ6SezqHgrN5iud/QaG6fo+jSMBqgBnlbnaBwTtWJdMLZLqhTGv20ZuC33jV9uNHTqn1xVAsgTNBL8qMXgVVGAK/1dGrgV0TsNeg4RPHGbfxOt48NJg1hgbEdSwK9HCQ6hz0v54jiMWDXXNzeb6GWnndAlpIYOWq43yNr/13vzfA3L1m1Ja1k5Xvrrn3HpXfK1fVERdAW+sYb/96nRsUtg91CKp/KndP8u6YyttdR1UnqaX1MjrNoDvX/5OLVUIo9SqfFgh4Gj8+Z6QvHe5YCgIURCmNLojZrJgxTF7poq5Rr6NxHbr2geFGT331+fLQndMCHs0gXnmovn/inSee33U9ZmVOixL76dVlIwBo+2+AURF/Mosv6Ik6+nceyX6ztDKWlWsv2QRzce1pnXs6hW6nO9mJZoKa6SbfDQSBBtXpnSf9LLCHPysjxtxWR6v2rgCU/0q765xdfnlaj7tjZx/7DOXpMBkgdmq/e+SV69cWknXAAiB5v3eTx/apWSHflSyb//2nRLNz0zl2XGmjT7Vp5qE26TW+v+9PQVnvJUhYwLDsTWnSOb7XxtsFt6p7b7+uf1i78OSL9rzaG/xS/XBtJ56/WeSr5+tXkkOf+/9rwItd7tGhQE75qiBVA5DaSfcCnkvMmI+7cVl1uz6ZC8dfYEGFoCV6AjpAzo6p7e9jk64vtndZ27uPyBMPCHqrg8oHpUtjBk0F5kDjlqxXRro2tLFQ5e7ylgCygEx1nO/Vkb+d6+C1zk1BygvQvcbfT37ka/4df7/yUHpXfzhPUAvwBGDQb2/TK//DQW0Zg9Gzo67nOQmImt3QriNZBrtK5zrWNRiuW6V2HY0a6SeGrmFzv6uQtKtsrjIvUtktsddmTGzE4Fo1Dh37Vc5rzitatzZnx1irFCbInu+5YygTpYqEpAvPWwcPmOBsXERyRsZzHV0LOrN3CFudrxs4crDQowFbnXWbF2wsHEe7oRLOOjc7DiLJKd7Lw8BlbczT3X1V42S1Ty2p1j/3hnB2PpqVMwcNYiiz/dfF8zd7yOknbxxR97nGF89UEdapbcDRdaPXeXwCbPbauOeYbY3rnnumRKd9qMKsYrzBzZP89X677gc+8IGXnRaH1tvVeseOf58MVK/3dM2ra25gqW9Xp1ynpA5h5RS9OVK+e3+6N54bjwnkKhf0GcPSPjQgJWNFfndND6nHwxrnAgJtjNXx5IyjjhYM41qDo7Vdg0Emc+VnrTxfwKUboMgUO74BffXlrc7pGrCnAPYJFKkcNFvdfQjuq48Ocvy1eW0crwUzHmO2/SkGDkOo1+ygfXfK7d4H9C0dolTMfda61gn6XXpcuhR8LD90fgvC1WHauzLUBrXAyAaS7CUeRcPrHF9b0axTnf1mscpPWvU5+tSeFrDs2PDWXdNWPnJ/8z06L4jdHAtqlyXdXCoBLJ/VV9r/DVj0q8FC/Y3Ll3U+O/d1tumY/ba+jQ6zq+a+oMm1Me0PfSg4qj677Tq56F872fvs9220tfstY9vgv09GeNIrgh7ZtwLUN+AyZr/fyqgeX1D0ApZa54O9dJ0Cjs2c1rdE216jfFpbUJt6+ZF/2F1tNUEoP6i8/RSM0PfANjsc07OqMIBN9S/4HHTl7rmxW0py+ZG8021k37mOn+6UNLp7n0gEyDB26UgB1foDAHPL2VyjNC5t2ibr6+tA/tlIstcKG5vrFTRq8qHxDZo/LVPkq9ZvKY/+v1LKTM/Uf8SD/IjyzF4X+LxxS4Ns9ykv3nlwnjHeAB1vyeSr8JGQu0Hy+xrUIrY1owRxzi7m2I6OLTelLKtcO2m342Wmq5Ru8Om9E1Rn5wkNuQb7CWV7QucbSPmstHWvKZT1Y2MX4FV5PjlYFMPtJ0eXc+j8McEM4NbKqH1H4zEEI1UlKOgd4ziv6zEJgMfjbKyCc4pn/zHUfaYYht13awD2XXmwsraLgnW8nUPzuPOmRD03a6gtRI3g4w+PV9hnqA/HumufOf8C5AqofjRb0OC+fFj+rTPRgLWGl/I0LxTE5f8i30XxL6BTxKzKh0Ewpz5f56alnFpBGn24u6Ku7Hi7ea6kda3b4+tLA90r208Kqs7JAuX1bcHsn/2zf/bNYwN+8Ad/8IVvh9ov2O262t7HfHbspWuPqRPb/hdhFSCRpddkWKnOLa8k//feBcvw2/73HOY6rgVFBLOjk4wLB0Mp5H4bfy9YGvjQh8hrgK3p7Auo+F65KBinv/TOLQmnS7r+X+DekvDrwDuvG7uU1nizOpmhr66u3r8GvHL3FIQWFLI2sUs39Gv/TR+NztVr1WUXeHGNj33sYy/nDN2fLKkE8Yxq69v2KIZf/dVffQNS4i9LQPAJR/U60xxLZcBP4ANd0lLt67gbM3nvuFTW+E9/jIFOZjOVGe+77GVtxI5lYwoM7b/RYW0AgN3u1wTGrzn7o6E1erXrXVt3/YvO5QWiGpC6F2DZWmmb6aztnS8AALlzga8vyMv24llAD/mso+7YArDVF90zw9yjCbtYv4vuutU49S3Kd29rZOtm7K4Phx6j4+b77/29v/cCon/oQx962ewKcEGWn4LTzo+nMxRcLNjZstLqlTu/rVSpo9551Bf0qc2uvqs+r095fTb9Axy07Jjf1YYu5GltvDh/cefx+dCo4y3wZAd//cI7dI41svpEJm4g5Pm1ax43M4DVBp8FXlr1R6erBNvLtdYPlXfGVJ+VHHSJRkEvtB+N0FHg2SVpAuZmKLteWCPz49Xt/bHz90gcflHtBXASzS9Qpv8ylg2OnQNQrk4quPd/vuuztOS4Ntk1XQuIeYG72oICPvi9QTPe65KoJ6DkttF8dBt/Cmg91svcdGf59y2o1VGMIeO1m1OKnGtbyBd5wCyuVWKVCBcl6avH33MrsDfIdSxnpw7mfZkIryLMDZSUoPU5aZ4z2EdFaBW41qsX+dRkLfZuDcCaYBP6vv+hLNDWrkNBS4E2FFlgWuRYf3a8R+eYJ2OyTrgBVI3IDZh879rbos9r7lkhXpvCMhdzIns+WnIGOY3mx9gvuCEAQMfOT9eHVoF197calY6TMaxTDwET7JjnGtLybtt1cGpUb3D1JBvNWDi+TtANznoPPM8IrO8DFqa49+qzhZ/u+5qDeQ2x+6L3+rTMxnd8x3e8BLCjnQeB71zPXKxRbMYFD9wgt/e/a5Kqg8xlsxBF2Z/mqnTEP3jzKQvqXle34HPgSPnFceXpOsLK641NZYPsT+msn3j1CViqzlyzU2qdHcG8PrtuDWHpX8euehn4VOfu6uLqjAaeDWqv3FwbUhvg3Oodc1a5uQ6ofgDGblVH7eR1eKen5qDbwEXp8X6rU0GPzn6O38nGbMyOaYmWapEr4y1P17euhaouuDqlvFLAwXnocgPAOjn4mXNlyUdtGmCxj88QmDVgqczM8Zx+2L2q93vvq2MG7uycgQSVveqRq/uuk97fr6+yxunv402ufsVfeLP6vEHaDRjxOLm+gWSBiOqIzlfl6fZJUE/XuB593GtVl9VGXMfzyZ6Vz66MNFBE572P53/6p3/6TQD+mr/YAPT+f8Hj6l28XDm/57e/zr9+iN/v2C+g2ePQ8tqBfm6wW31Gtz61/U4nLikw/u8+Da7foM316DYyISCr/jBXzeqTgdIFqNlNRatfK1+SQ3QDPWHMfCg2h/4pyFY7U5t4K0n2Kh+qWJDVLzBa3r9B6Jo1vjt2wdnG0OV51SXlifqK5gPNW8HR7Ki+VTfzA8zvb2bJSH2OAl/V1wU3y7u1s9WBV0bMAxlu3PF0Ttt02UqPWw1jjfOTLX5f1tTqpHeBwToyREgZkSCrgzLw6/Bex/ipVSHc4LZ96rFPitKxF2GkvKs8NALSjAqBu7vpMgg2SIKKVuFXgbQ8GSPeoLaZQrSDMkHUurZu1+1uk+7PCZjAzcBDvS7SW8doxxj7GqSXkpIFcJ2LbnZ+W9J2jXrvWcd5L+XQdVp9bzDdMqMGIwUvWtYI3ddPrchQ+eEGtTVyFXqGAu+4FgVy11+Vb68DXme5SORVEvd75atK5SmQ7TX6qlLU72X1Pve5z71kPlo9cGWtZSZP93ntd2vH5nx++7d/+8vvQ3ZnlFeONmfe2vLXgtryFlpcXdHyx86ncZi7ouQNIi/P3OBg7/i+fWqWQd/wWINaAMgNbFuaRvd45ww455bG3jlvlq40uyCHZq1ls5w3e+B/tFD6duX9OrSC+CdH+erpykOds8rKa85Ix0N/4BuGlH6u4375SdbZRnYXNLjj06ZPV8G0/ux8S0WUHtdBt4bNcxlVAel3kfhuzlWHiF3QF5+vHnhCwo3dtTqnVzeVXxyHLvexcni1oIBxtPSwjlxpK9O7NnuG73v8zaYMOBidOy+1+2h6dUb1bufzyXZZJwv4rR0sDxUw6nWrR8hbnXfjGs1qs12nc1tfqZ/d6+o7fgrdavzXT3KPGxxdAKy80PF1Hp+C4KfjNuZVM4y22+Bq2dqn8+sf1e5WJ3t/AszK07VlT8Bxwc0CbQV4Ou4biFyd5pgb1ArqGoDrQ5e/XBruXUA3wKxPJrh6lK8IEGY7WgVXOSnfXnpf3dDsb+erwafr7rfpQ/3uZkiyvK10u0G269Vf6aZP+92Gf/vdEqZdS1B79xMoH6HPtaMDJvHEZHP3mD7vDuWlb/tZX6BBrWC2NrUxjLnGc/VTfuvsxVGfpqCpuWUj2Lz6RD4XFLr648Zklpxc/fYk34uZpps7LiDt9U/et+fUXoRGCdYM71LuEANby4+Blhn0bCkBESbg5BW5ca8bOFwH/W0NA9ysVJVvP5dwdXoximdq2UmMoYb6zNCuee5gnz/X/q9Nwex/jKXUQFnCrqu0c79NSJRyrS8eolxkCfMpD8FYxi0g27ugdnNibQeHstnEIm1da0IQOCx2C77BHWVn3q6jSkG9MGJ2VVPChm6emYp27gVt67qNAgOcpaL+yjApyFYMaHYF1Yf9LwPPkTQeDiWFrizHXK1R0FfQm5m4gut3NL9BGVoWjNAKjNRRf0IZyyN33mt4Nv451P/iX/yLl8d5TRGRp863VkPfxki9JrPj7e/93u9951u+5Vtedg/d/RbMbtOQBbdKDPVX6RgnV4BrLC1hNJZmPWs86lC4Rh3u8kNlofONd3ctoE/p050n0ePKirkqmMRoAQvxwAxqwbYCMO5xy+s0emd6YHMrE1sD2jlsRlYQitcmV92Z+ikYuU5ZA2D0dN06FXRNnSvOSI33dQDc6xpq81HZ0fc6Id2N9wYy0x2WeXRcT45620ooV1Y/Xh6v7x6j/XSOqpjdT2C0sXO+8ETvy36Mr+a8bi4LzqKr+Va6utfsMlq0ZOwJ4Kn9bQDfrEDBi8kdWykju9fGaiNDn82FoPCWN3cO6dqdPxotyFHSzregr9p275W1XWcdMNdd6kvr60fUAecEr3UpTjfHKl9cfwJfo5HHADrGHLMtZEImg60EfrCNZKC72/v9KaDEQ/pZG22OCwDtN3NdOlwg4er/13w3c/0UpLKDW/ICpPue7/meN/7SGn1Z30PDn8ZRQLl6pn6gxiY3eLogh6b8/mZPq98vXcz/BQn76KTSuBl0vsZTYIsG4yX+9+TEM5PRYW36okuV1nYffOj3bizaZAEew6+SLDYnEwv0kWe3ekjA7b4Fc/A3QIxsdbPSgm76f30ZgJnkU9cSX9m03I1cNqh9KoWdLyQQWx927h5HRT/xsW/wfed+825Nbv0AL3zKxyigy8f8gmN7u0N06VTwQWIKLVpl2cC2/Hz1W+1vNye7drN6YH1akmQJkibTVLk08P7vydb+d2dqnyLuGadugEAZ2CW1yOw63AzhjhuTNdvXqP8imbcvT30qEndRyv72lBEoWsZZ84iYG9RifEpTKXHLby+K8UL0dxXS3ZGwj0HSCFLLPNp/yqnoToXA+Bhv50K/rEUQYN6MhvHuPE7W/pMpvkjOWjOq14GvA1i6N5tQpGmtSFtpVqfWfY2v2Tt9XiNoLddwjtbya/0zR4w5J6PIIFDCfHE6Lx9eBSyYqALrnLaVb+u8u9+ViY7rIqblB9fVV8bf52VKf+VXfuVlfaZn+zaorVPSwOHKbn8rn6ztesti7Xm0e3bngtndd0bDY4Osyds625VA2+WxQEcd1pbY1gmvrJOPBrXkGojR7EV5G83ck8yt3fUgFPl12NGZ/qTQq5takoWnOcKOI8M7fyBjn5H5BGjgLxU2rkmWGb7KB/7o8wAr9zby4fj1Gs0Ik5/Lz+5RkId+xSNo+eQkX13bQPdWkKA1XUz/FtS8YMH+V5ljP4nL8x3vleEFnvv9PjqCzTC/eLI8ZMMhgRXHcH2YjEwne+yVZT+V7fJwdRF+ujLCnuB142EP6NhWC5hfG6MAD/uIuzm3ngOJzywhuSW79ASbJZBB/62t90gLNph+btv/QAQZFPNUQAnPsS+X32q3CgiulX/qRNKT1a91vPkTdbiBiDfwqR7ZGFS2oFmz1ezW5QF9vGApnaV/6wPeuzYM31X/3VZbf2WkY9F6nRvkbj7H4z/6oz/68pikLUvZEiq0NQ/moDoc/ZrJ8uqaXnNb/aCP9SGurqGrry0A7tSnuzxQ3V99U3pp9bVUM7Sq7/ab7dpvAwGU/18QztguP8haCsAL/rL//FM2C5hUfVP7JQvcDdF8bnbVuV3iZpdh/rPdkdn46q7qZdetb1n/YMfQTztvIMCOkQC57drSZo1tkLc24NI+NE12XP8Wj10fo+BebV11Clrj/d9KoqPL49YsA61Pq/8FtbpcpWNuPwqwNG64OufGZXht5w5gkaiwnLE7aTsf6PG+bxTVFxSWIueQYOA6Z4QQ8dScN0AqQuC/O6gS+DpdJu2pv53QOrQ9t8rllk51QwtCAD25gWqZv8qGcTb+ZuQuIlFDTkG7nz7rP8ZuUFtjWrq+TH52mCsjUXoV/hpD/xmXPhIY6DVk/Sr0nvc0X+2z6zFQaGZ8HI8e336im7F3bDUq5a9b/lxB1h8Kr4qlQWUR8yokTn55g0OpH7dEsEb3KorK5Zrx9R6uW0VYmbn0a7C34zbWVWMsiFy24yLJT3160hm+973ysXHPad+zG7ch1Kc+9ak3z1q2fhf9Pfx9jVLEE+Slmc4GVW8zKtUJwLiu17y6xLX8Vx6sQ2j81wnpHEG/yf11vsghni4KzQmlf2X9ijQ/NQ7P+irj1SCyznEbx+o6pdVHa09rhArElGbVhUWSyW957m3BbHXotStoXie4QGSd3jpInf/q/+rVtidZWBN0mRdjKZDRoEHgTQ/PadrvwNaCHfjVsxo58+X7Oq9kgi3sOIAbnIw6jsCTncMe6of7WoqzvgrW2E8ZJLLKSS2YWHteB4qtEQSutfpLIH7t6Pq2+06XyPDUH3AP31tud/2PG9S2b/rMLyjIXz6tbNW+8DsEtnRP6XIzhc10tT0BorVjbFSPb8YOD1y77TpX/9325J89/f/0Hzq2b0CbVQoBowri34C+YPi15+17fcQnvYJm7XfphSdqh3vutcPGVX+h4KR7VR6rx+je18oyHUsu11RBTNcDgsl9lxFVV7bCZ/exjr9+KLtNBgXNMs7lafwM5KrPUtvRKrG900F9skr3rOm+FWziBXOvT+t4Y6Cfdtz0w367OvptzWZR070yjesH3VdA9cnvfLK3lYv6EJ1n77WlX3A2MTWHAmtzcise9e0GtY3J2scrD7dvTzax/uKWg9hkEU/jSbJcuX7f19Q2SBjyyvm0XqiIhKDQbp37zCltULXBzWi3BA6hGegS7Q6UMbkK+DKH/+sM9D+IlndOtY1X1OUzyh5jwzns+qb2tw4bx9uaWgLN0dJ8binc6AFt5mS1MUYV5DWlXebGPDIQ0C3nyT5SEF0Q34BSMO93my+tbx7U7Z4tmxivXANTJ4OCAph4JAnDK5NuHiho6Ot1Shm6a/zKM2heR9Bx/W19Wn9kRfBxnaK9oHac3zXvBSv8Tqacz9F2PD56LYAsn9eBcc8G6XjR9SCpXSu+zysPWYD56U9/+sUgku8Gy3WU+9vbHKw6CgKxb/3Wb32zZmpB9MpTxnc7nuOLJ5eN3DVWmjY+gN6iGcOuLw0ylYvpM0e9oMw+y6hdUKhGoI4LGd47Q9cSqSLIT85tUX/zZ4mDe3F0AW4t/VsmcLph96J3e/0nfmGMd89lQ8hPM43G3sAUv/dae/ccTruber7m1R1PvMiZoNcE6u7D8bhgAR4qCFhD3KUgxrD30WryK/NcZ8zyklYt7J6Tgb3ow8vX7tEgXDOXwD5806DOOWwe3SKja7OcfZ/dHb13XIHXAUPTr2u1U83I1pEo2HkdreqJNTzXjUlctzLEiaUr16/11bpN2Vm7XppnfeuO03VGB3wZ967Ffg713/048G3r485Z9cfOb0k33XdL6sonre4oLxTQrS2h3wq+A2TZjf0HQEI7jngDjoIs5FIWfq0l8w3qWyVRcARIZl7xq0ZPkoEGZcZUWb7+x1MrL91gvv9fG0aO9XWfv+/7vu9NRvvrv/7rP483L/jeREJ1lB25za1G5z2BFD2O/us8t//oXbtHdzmmwRudW/t5aVZd0Plvc+0dayM6POJxPJOT2hrLsPACuWwGl1zt/n20HjpMh+68+anTjXa1NZ7RTnXGMnT4vHahYJgxNICn++wsLrtnnuqz8OuVL5snc6WSxb3ZvY1lFQB9Fnb9x+pJbfeYrmV71y9L2HaNzUH5YXxAVtnnjWHn7HhzdYNeccXOaeDJDtMX/1NKxuvbNqA0Fv6EvrbatiX35MHcVFfegLc+URNKzhNLbImlCjz6jr9mziUr7nKS9zRTS+AqPAK/Td4mtkShtNdhZbwMb3cKJDS7fh8y3vtWAV5CEooiqFVuzsGggkhMW3RcAAtVnpBCCT0qhzDrPwFrOXHp1ndBbRXuGLqOpMbRsWbXuBpwNbsw+t5F1kUMKcSiYnUaS+cGKsrIHNNH6hCQtWZ7KYv2hcFUik4Ar0FveaWsSNd5KKXgdDJanNJek3KmNCkHTl6BDvOz6zW44ZS4B97hoFH4/rPmyZxepL3/uW5pWPm5DgChL/p8A8QbaOKPKsm7MUDBBI7plM6P/MiPvJQdby7Lx1dJXkeiivNmEW5Qu/mcs/nJT37y5b/da1lhgBPDZY0Oft55K0XbmtvJSMufKEp9KYqMrnUWexz+AagUqEDXgjBKR9FD6Z71b3W8bjBbGtKdxq0/rZZolnb8Zy5nWFvGs+8esVagTGugMGdnzUYd+KQAXZ3wOn/6gucF2YCGfQb2XacbDTn8a+SZfmpmkAGng65+q20oX5cPmx3smjJ8v/fxWDOK5mp9sqaVAS5/tz+dY80jKrb/xJxLQXydN9/bp7Xpy4Gnzpm8cEr62K31eUAUoNneCS1JLm3Qp4FRs3+1tbUbdF/1AR1DD1snCmDZOXXO65Tee3Uu0VSA3vVrHk83+oymHODL6+vzdifdWv35KeazAFXtUefvBlt9VQ4qw8ZQvU/3r3ln59CF7dtc1w42sG5Qs+NqY6trbsamsvwEQJYW3jtGvwN6eq0bZF1g89qJzusNRp3fPvptfPSZz3zmhb9Hh4GgC3IAJY7lU+EbsglYcO0CjNVtN1i/2Xv3uf6ofuIJthdo7J4FKjvu2m/3KmAHLH1aT9tx8F/pPJshTR+wKfyfBqjsR32/7iOjAnONz8se2itG/wSykg/XB9kYdw5ew1eusTWp4++9BLP0GD4XuDaQYh+auEJv+q0+oqDRRn4A7YJLbNzl8/Vh/dp5+rYxledacVGd2QQU/vW99yl4suv3GvxOfsgXvDtvTWCx21eX3hiiQBK7XDmuDFy58Pv1NTX0GC9MDw/0AKbop/GZH0vdVOW8b5naNhNmjUsVEKFrGWwzRy0rxTSdEMHWE6pXY1fnsgFKjbbvt7zM5zWfKYMGsgxykYSWQOhvDdh1bOp4XaXIWbslfe7VQGFN4FS6ls6Uk+tfxYn5CGqvUzpfRBaN0EFf6ugzBrsOxdBAjhC5dxHlvoqQejFKzXKiq3NuhrqARRVN56EGVYDsHq7lHjUmeLc0rpNbg4QOT8aewityXEcJPeswdRwda/kMTXqfylCVVB01c7fA8pd+6ZdeFJB5rRPwWmsgcfXFUxuvzklfgMpZFbCRW2Xf3c13c2HNiuylx560Lw1gb1DbcllGvLys3PrOYWlVIK0yI5sjaLuGpbqpc1JHo9lCqCUjjU/tao7XRo85+0PFlSJXN3e893EkjP9dR8XwGDv+M9YGdH4rT/aRNaUBXr5gSA1q9Rp6l6ZPfFY5a1CqVK6PJbuy20wjvSNQYwcKypTf3yYbrqciydj0lfxfPqFHODScS1kBY8NzkwElZrLle5cRfQpqb3WIAJa+qwwp5y3dW4XD8SWzgrI1jrnA9s7b1WdaMwmcbmtp2bsLUF4dsECoQAV7R+YqH096s9cqAOx4368+KA3R/pb5kS30xQtkvbTthmz3kXqVmeqYOspX1qqPnjIztUH14/r7azRHw6dj+ru+XV/l8sb+k4H87Gc/+/Lbgh+bkaLrBeVdg/9QB/zqbvR6ra8FNzundxxkshVjvX7tsXav7VpksyDp1ec9lk9dkFzgVluIHzq3TfRU5lXHqaZslYDvxuBdX9Db/R1vw7red9fcfH7Jl3zJi10T2Kp86jK0JgZch/6+j/RB6/r87L2KJbJVfUD3PAEJZNl6WvFA+1da1tYAFcrztf3ly+rpm8TQ1y84lXy1I+Wx6q++rgw+xS7oVp+418XX5rjX2LwMeFwSQvLgxjzmh71dA6K8b0Ftkcw1u//amhmxrsGqIM24yJqNWTGDQLe7P15li7A+X4NzDaLfHHsDQMzmd4Fsn/PIKHOs5kys35eBG6y2L+5Rx+4G3Q3kS+tbPrfjMYTA1fVbEtZguIq15X0UlGvcdSh1UOvk7Tdj8Zvx25ly9+cg73cL2Sm6i4TWWXgqjaAgustqHTlzXuEjNJBJAbX/0bvBJEG8JWyuJ0A3hpbiUZLmpeNtRqpOTp10Tqv/WiZ7DUWzb09ZDr9f2ak8MUqVCedNnvd8wO3kx3lsP7QnZdm56HH3WG3ytMf4bHfYKTyP+lB2Scfs3tMdDQDX/5Ui731B3PoNLe14VRuYp9K+Qb3MrM83gHHPzlP5bu9ApyKoLYt9ckbw1M3U6jNnRZBg/eSM/l7KMCHHH/7wh1/OWVZjz/iV5boN7ylPs9QB/Rto6PsNeH13TMEvugn6+pTFakBiDJw2a4E6R8DHlgDe7FmzVP6nYz0vlgw1U4TfBGXGts9Kj2V6ys8XeHzic/cZv7bcGF3qBOEb9nS/Kccir5tnNFcq36zQzlt/ZXmb4fCqXuBo0kNAAK12RBlcHZnamNKPHpQxltUvfa69rn2s/O53G/BwevCvc25A4voD58bfKpoq+2zYLYlsgNh+9bfyc/W5a/jccXbe0Zwd8hu+bdVQn7Fp7OUdc1pbv7GqbGB/nvi0wd/V1XfMDWxvgI/XtVvB4B7Xt3Mv/HJpBdDY/5vLf/bP/tkb3WQZlKCo96kTLmvZSoj6O9cHauCqfw0o9RVN2fpmNpu9usBLbQeb3FZ7202Z6t91nhynWsauuqpTlvEk2xJJaFb9d/dJASzP/hp/l9a08kvwPHsyvbR5mV2mh/gTO1fVxM61fGjnrwx4r12ny9jKj65RXSIBxY+XJaZPd5/pRPsTWC63vi7rTz7oKPLezOaTbtFHoF1lnS9QH2vvt5S4CZnawae4p35H5fkLcq37G7qhB9m5Mn99I3xYni8fN/iv/FzZXuXYNhzduvgd14x5fcvNDx/ERoDv60ZRFfBmdeaMbpIoDJ1E+BqIbi6hVG8vW38zfg0OOjE3O6hdhVHDeNHFEl6pAsdFyRRU3qRiXCXHDWgxxmt0I/Ba1/sxgrf5385v0Kc6b09ZgwbLGE2Z+IzBnKrr2KBJryN4Uk5BOTdYbmnGjl12z3O6SuedY8Mfi//7uuiZTPnWQXHW0KE8VYCic9t1rsoY73PT8FTnpQACZXn5jBHgMAi8W6azz5Q+p4vC5ChzZioXeK2yU8Psv8pEHa2L1Pmt66f05wa/aL91qltH+0M/9EOfRzN0ewJwShu8cR3/tl5zuxl/9Vd/9YsRmx4RFKoCmTLca9/HA3tu4cp9RnvPnEMD62MAO9f410FjqOtsFBjCN1DqGpGO9QZiZJdMcDitlem5+oQPen3ATo2Lfkw/LrvdihE8u8/LXuzeW7symewaLn0uer37erwPnQ5UqZ4CUFXmBN5ojsfwrd1nOVflYfqkgFazEfrWLBb5aTUQetVA6nOdb7xvqUz1hsCpGzE5rzv3kiP3fI3Hq4c1zrcAk9Nl7swTOpPhOuY2bamjsmsJbI0L+KGSyjqy8knBFH0u0Mnxqh66doDe8DKG/V9njz4uvV6jXZ1Jc79xqMwAqOIX1Qblh9vw4V6zT7caoLJZu1UApteuk3p9neqL2hqNvABmdnzLFnvfypM54TsVHC4I1WC3vlj5EV+1nLg6gYxeW315vHpFo/eegoDSwP9NljSQa7/6/z4v6zMneXRbZYoqlepcflvnFv80i2fc9SsrX/idfkbPya9+7rO+sR0Fem4w1kAdb1QO8V/B9PpPV3bQhz+9a9nLBj1ktNcfSwjQjXyii3NGXwHy/vMIKfTE54Aic+VRZQtkZ6/tgF6/ChhbGVnf56Naq2v8tQV4B+3cl5873uj8drnIPku67Fj9W2Z4/VBOXNvWoPPy8PxUNOF/tVTZmPbbbIgkS22VAJpdu7a0lY5XfmvLtavPCj41CVKg+Sk+ejq/zb0LZDvGGHbMxrzdy+eLzMewI3cD+dF689bd7F8DEt6z59Su9QYlgJ0QrZMpQUwWxqgC4/RgPuU1dVZ7P4bubUGc71UQVc51yBCzG1u0bMGk24imj4AoQvrU2q8ifoy0//T1Bk9+u2tmbjlLUSSKoWWxRdKVjlG+N0ipYRTU7ryNWZazJcZrRfJ2bfNpwwH/GVMNTh0KfbTumiJtCSYw5J5P0XGqyqcVus7NU8asTgAErDx1+boBPqeHUStte821Ongcy97fHF6ErP1x/+v89374h1xSkILxm8Wf0VkgNGdhAMhFsnvvAgx1hvr+e2kDQRbYFtjhtPbxKZzSZY93rEec4AUyalz4sHNZ+cdv1Q3VQ3QCZ72y22yJoFZfzDunuzz3Nr3qGrdUv4pdcMAJ4ehAg9FudJjjPtpa2/rk7NcgCgzQ3TmMbmnWTFQ3ntn/fearazSz2vHVeXSNAgMFdvR3L/p3jb3p9eoMdr6VWcuElc5dx0+nuXYNdgHW/x4+5/iRSY51ZQwNbyDRFxpefmcP2NmW2d7dmpuFrg27erHgK/tUUAitu66XU2cjPQ5bs/Sdt6egqDxREL3ze4G9znVb6dY1yO5T3XZBlnt+r31tQY99zb4YD9lwfoGF3aMZu65x3H9XlxfwbD9qIxtgduz1xTq+ylz9lEvfyt3THF5avfb/pXMDyvajAIMlGA322fnS5mkeaiN9r7zXxt3gsn2pTWzJb8Gdp6Cj/kBp3f/vHBakfaL3miBehrM6gW1pJZO+N4Pf+XQeH262WBBXn/MG49f/wLd0r/EJ0MtzO17S6AazNwjbZ7raC6DAX6Tr3FflDX2uxHk0k3hZ8L/jB5J3ycKdJ1Ur3VPHMTcYF8TrH9CY7yL2UbnUAL48XL8eHZ700lp1dZMXa679lIUu7zvHuFrt2KxtP/fc2Z5t/GnvE7a2stpsrL0XgGqv8fr/x0FtM2jNEHVAgsFlU+zu2HYDK8qoyhIhZT8JHiEukZpZebpOHe/2tRPkOP3pxiQNOBnnjV2/a9DXmu1sHxuomRhoeoWPcN768e7+2fFzNPrc3AbgnJiWLdmBekHBsp/K0izuF/gUbWqw7x6yqG3WU+81FMb871rGu0apcUoprfUL6KEkRKZWuZ8MxA3ozYVxK6suXzRQqePPsFVo7PDLMFFa5bnOiWDCfxwmSv3O2X4DijAwXSdyM34NdKrc66xAYgse1dAouVq/GHv8g/fReOPfTsef+9zn3uzcV0WOVgygfpufq3yvHrh6BV/sPM+mHQ+tb0Pt9tp3tN3nn/iJn3gZ255TSWbMe7PySpZrNIqaG3edV2sF958yGOc1g4ouNeLmpc5u+aYlp/Rog/ICV1dvasswOm/jK4gjiPZ8vMlPA4AajgEW3TzDXHVTH/qqsiows1mbzKaSs9EJam23TGNdf+86UGBBg9rb0JnOVCbZOcCb1ykvEERO0Yxh3ft4feXr46+90yEAp/GFjZ7qVF7H2291AK5u2SOyLMFR0rd7OreAavmg/RWA15mrHqqT0YAdjzUIukHZpTt90v+h7/iN/HeJBV1UEPRmJ57AxupY2UzBQve1AL7sc7Ni+ui+6xs/YrSen0JO2T28R8+aty4J2Tl0xw2w++xm1y49Lg3rQ5jTboqmGmLtAkrVO/j5ZpY11QANwApGqBwyFradHOLF2+/yqnl4ovkFQt7WBIEFq/mdbXiDvt+7jQzxlSdEXLC44AU50r8us+m+IRcoa8CmrHut6+35HJprmJsCf/Uf29iMgoF4dP8pnUVzIJWgdjw0fq9fYG4K2rIdrbJEM/yL1tPh7P2O4z/WVpG/+jEqUhrgVx/0ZV4KONTfIYfAH89Z3/XHB9Ole+24PsGglXPmir5QCTL/gz8qu8znlSgqzXesx9Pc/hWgrj9oZ+q98LvMN6BSLATcqm9Y2jUu+M2U0zf+IKP+Lz2NrXJWsKX3NJd0MvmvjTUvBWrnw/34j//4i93jR1VXVW/zGfBhAcinTPl/037n99B++Id/eBz6+6/ff/3+6/dfv//6/dfvv37/9f8Xr7/zd/7O/8/78H+11+/T/Pdp/n+F1+/T/J3/r78Wi/5u7feUqd2GIzIEQ4D27vPK/7YObsiCtTPWNBSJgi5B0ZqVkD0qGndRMYhByy+681ozIy0TaIa3KD50tOhnAv3Py+4+lYY4rq+iJ80iyobsNVRvaP2QmiFCe8lGQjmGUnz/93//y/X+6l/9qy9rRfYIiK2RsyFMs3LNoKwVpW95SEsO0P61kpfX0MV77VuuBflGs9bEX2SpdHoq37qfb9YFsuTeRfqarYAwyla0RGVbiw+13/vf//t//+U+H/vYxz6vtK3ItHJsqOe+r2x25+x9c+W8br1/y4O7sH/v5f2WnVz6XySur/IlmnStVK+zRg4vD1SeXK/nl+eLnnZuVQqMt1fKvMcCbbOilTTjl72G4K397b/9t99sZGP9nezqzV4rH2o5UrPuHUfXleGvy+NXppvturxLt1yEuYjyzVbfcjV0WqsM3eyaTGIzxUqmmpUji0OLrbXbd8/y3O9Dr5Xxbz7W/sE/+AfvfMVXfMV/w4uv6bTywpN8Voe87XvnoP2X2SjP9t7lvfLp7RNeqJygadHhZlt7PB4ov1/56FqnytroPLoPkd76oekVOz2u/c2/+TdfMigtR3vK1JSXfb7Zliv7r42r15HJd2z3Y1BFQP+gRflXhtz9lMkp2W5/Wp10s7z6TwZaFncz39fe3DkevcnEmlLHv/W3/tY73/md3/ny23d8x3e8yRz+yT/5J1/W709nd86Nc+/2bsA/spaV3bVmJSqzslK31Hnn2uwK/SpvHWMfq4ROzYRcuWR79a/ly7X/nb/ayitT5tV/e99O+NMf8088wmQvemn/ofk/+kf/6MU/7HrRymirmNb23ZIjFRF8pupdPp4M1+Wp6oNbYdS5rq9QH7MVK91Irrx4l6y8TdegbzPFLSdtZroyfKt+3Jfvu9do9Nf+2l97Q/Pv/u7vfrGjf/kv/+WXNal9NnVtlvsp/W1mrb5U+VJfWyXHztcWOWcZ3Y6lc0hGd7yqMTqjcu+3u5zs+ot3aeO10XRnx9m5dm5jAedtf5Ht4TGen73c+SulRfP55M3eyjaWjr0en/A1X8Y4VUJVv+ifuElG2zm/mSqVm9kWN/DLG9coCW/5efuMfq1SENNZzoOe1U/1ufhwxtTHu6qOw0+qM2XHZeDFom9rv6egtg5bGYTTbjG4krMGtdLnXfvVAFfw0Hr+e++nQPgGF30psXtyShrkIf4NatuuYnz6/zp2FXxCW2bUtylua4drNGt8RtPRd6U0djq1oQyadW3vFYAGO1VodWyMQ786tgZY6Gd87kPRYsoG2UqoqhyrpFt61gD1ybnWpxtMX2fQdVoy2gCBkOz30XYC1Q1UKIEaHQKKdxnqfZ7xAPTYrp7DUmGvguhufRTsazTv+O6ahdKvxryOdg196XWBDee1tPryxg14a4TvcePZKaaNdYHV+qm05zqH1gc2qKU70LzlMFfBPgWT5qfB8OXvJ3muA31fl39dj+4q/5Ufe7+WCdaZvzLVEtOCMhT93XGbrDHQ1uaU/9q21lYpc3mxn+ugPdHqtaD2CQisjq5c3cAWz3Y+nu5ZXcE5rSPYvvf65ZcGXbUBnecbYF3da6wccPtK2H+hgNV+81zG2tLrYN3PXg1qy6PlO32pU3HnhQ7qo3aUvLmec7T9PtltANAlDaW3/tSprC1uIPUUuDWwrjw2yKwjaelJ5WqNnmWDp5P+yB/5Iy+vOf/tr3MFteZeX/SvvIh2xtBNE1vyXf6rUwgUuHKwz7MlT7S5uqKAYmX96rqnoIAf1HPqSJd39/votmN+8Ad/8M31+DA3mJ6/Mv3SNfKug38KkvAZOdwbp7m94Cz/6vqMtY1rTwGVeSNPnff2db8LBJzfee617rWrVxpc9Xv9i6cyzxvUsgvsml2gS3M74c8nGX8rUy4P9B5AlfJV5bu8cEvEjbV7AHQNf5MO+MxxXXbQRFVtqrF1nXP5tq8GxbUL5ffqqLXqEPajy9PI6ZIVA98BHO7Vpxk4X6seFUyb0wa19EDltXJ0dT3eq+/Quf3C6IIL6PflvtVD+tEN7tYawPZ6fTRe7WA3w7y+ZDf+7RI8NMI/tUulzV2G8J7sftx1ApSAQNYALvJ3DfQTKn2N3lO7QUEZyVbugkiT/MRoN0hy7Rq4Mtg17E9OR6/7ZFRKrzrpN6u5a9xHKDSzVUZ7CkquM9c+NNuln86rIr+NELhGnZE6gtfpKv1Lp9Kn86N/XTPk9+sQtL/GSSHqR5VNlRXeqdJ9jd9qoBogFKXajnkz4IKKriejYK9zV4V0x/IkM/5Ho5u5uMe5L3qVL4yhfWrA1XaVZmnTazimygcYNbrM2Z+Mbp3LtnMvIouX3L/KrBlxQMKTYbtIZ4+5c3qdvfJgx1wnpLxYx7rXfQrw7r2vrOlLZbK60HzdwLey3te9JiN1HRP8fPtR2hR1f9KZ9/Pbxl25vLSuXbm2wRjRov3hKKAZPWmNYHWD5ne8W0Co2QB6Dl3vnHW9VzesavDDQb8Zs6fPlaMbSFyn3XENbOqIdpx1FOtEr3l+8W3VQzcYEYTQm0BCj4FCr92vm7TdDVTu3FR+OuY61dfW1kG7Tu/lS48Sma7eo8OWZSxNOnfXUeaMX+eYQ47mBdNlHdkJ+zJc/+Lq8fJFneLS5fpQN7vSzFf1BNrRKU+gaf2Lq/t3jdFtxyzT/au/+qufB7BdmgMoXe9Jri8wBSjq5kF2y6X/ylMXtC+4bzzlO8ATYHXX6KPfqvMLEPApZaTLj3XcBVXX12mQ8xrfVX6rM6/N4f9Wr2g2B9wYVYQUXHri784JGvTpFPW5zJvjBTeOQx/JjV672e2O2ffyLZpbt3rnp30qb12+xxe16Y5vpUBpc6uuVm2wwHaPG7TPQluBLed13X91lD1UGlA2U9tHHVVuuunrrmHfHbqleug3Hypkyl/V6/WdgUhrEgzsXP0wMsMnG59df+z6TJe/uvt1d/jf/VddRg/cvZnet0f6+Iyo13m8geJV2NfRbABSYhdhusbXtddawrN2jfcNZGtYrxNxEbUGJK85JA0irhNyDXlpcB3ZlsdqRbaeDEMFssFblfql89N1no4v/Tvma1SvANUglr6c1iKOrv8EdDwFAZf/Ghz2nP6++3VDmqKHfc7wE11dg1BXyU/o5yjNiPRxPebqor43+3t5qgFZeeTKC5o88WP72O9F3Wv4e1zblcMGWld5PbXOyeg0ozCFvfLjbQZlgyMN7S6yeMGb14LZJxmrc3P5svqjfS7S73uDu+sY+Fy0uv24stPf7j3di3J3vWbbS7Neo30r3xtjN8gqz1w+vzzQTHKv3++XHk/OUOdT355ozLm5utfnZlplcV4DY66OaCDkmIIEFzDwufrNGJqJINtXP+GL63w2S6N/DcreFmhemrVSo3PQbErn4qLtnWv80qUWnV//NetgUzEb1gg8BA/my6uO7totfe9cddxPAUH1kpdH+lx+tvnhgjLVTqUzG2us995oVPDi+it1YtmTynN5znGlaWlO9mRQ8JhMTUGLzj2eK7ixdiuDyhfdkOraoGbOgcGj3Uc+8pGXEntz/MSztd83W2s+Cyw5h22V8fboD/+jW0Hs8gYaXxtRP7D6tZv3lfdKs863V3XAa77jk994/RrXIJ+Xhn2VfuXVW9lX+a/tLo0rR/fY67M/+TE++70y0uuQa6Xsm5uWpJvL6qe1mzXuHDTwrO7tMcZMH5VWV1+7jv5Uf9h0cUvLVl5/dcv1iwT6PnejWVnR6sOrH/FX9Q99Yjz45gJ8X/huHGG81/e+tviCSuaglbH1zQC1NiGrn3v9QvPKd+6jxzR96ZM4ru/3Nj/zfzioRdQqwJuZu0Lmd5OvveYQPZ2/9pqhryK7RK2ze5XAa316CiBun1/r4233etfhvkEtJVnHk6J8Ag9uv65T/kSr18Zwf3+ayyu4/q/A3Wxux0nQGijdebjK6bUg6mmu2s9bJnb51u+czhqTKjv3MsYqVaUXU3j38U6vIWKvtWu8nl5tzeBdmtx7ofWdkyq0ywfXyL/GO6997m/r5wL/rb3fw809fP2uz7uKsXJSnnuNh2+w2MDk8ll57x5fMKyG496rgchrsu46r/3XsqL7akDawLdz3etWJi9tLtjlmN+NL0ubG3zUebsZBp8bGL1Ga4FQ9WHb1ROXN9b6DMIGRheUMB/emz0o3a8ebZBa2hVB77XbzycaXDtUHrm80+C6y1q8Wtng/Gbn248+BqqyJbuNV574qPdDfzvPLqjdNfCZzKQAzj1uAH4rfZ74rXzz9Lm0ljXqLt9rnMnp6trSqxuqY576cPVodXAdsPKe42vfW+pXPdXsoLl7qgipHN/A9voWrlFeNteVVzxeB7e8S75Gv2W87TrbAPXyeH20qy/dszTVR7zEznatYHVH6eU+VzdfHd05qq9x5U9J5OW1Zj6fXk+66upafV0rSNQxXLm4c/rUZLhutu7O8aVDx/lk09uHG0Re8M99Ok/Vg+ay4ABZ6ZJC81jA89q9Jz+xvleB5jueVpx2Tp7sz/o1v+WOs3JRfr7lxcCpfqaPC+Z3TNWl14b12AbQX3Aqogq6Vu/dRGIDSUG3gLyVh6pyW3J8eR1Pr6nGuHLTc9ColVbWi3es72tQa7MJCqfCcRXqfb8C2uteZrrfK3S919sEtsRsprCPZajTWObs+2t99P8Noq5CazNxnle41gxmH+kDpfEQate/xvipv9fZqqIp/RvAFP30Xw1pEbM73y1v9RtBug56nc9Ly6LCTw51+9e+FZ2qMFXgOTucMyXEo692sz7mi3LgGCr12avrJKqkLvp30dzL59cxeeKd0uuilpyLKqw7nrYanqegqEqqjseTAbj83u+Qzg9+8IMvazk3D30s1HUozON1WJ5aeRav1aFsn1oRUJT58pHPXQfUObjzcINnv1+dcR2Im4W9JcZ0Qh89UJqVTyqbV+90I52ndvtIPqsXG8gyOPpXUIieYnB7vus7n6M/XgAMQXfbH9drP4xdH8joDSKURu7V4HnHWe9onDdorDPlXj6vr4LaBsrlszsP5eOrs5/kvc9v73rq1/aDqD2qc+6+yt+UlrUMrmOp44rm+mH9pIBWUFs7a05lZdBEOdnTWJWb7b+bpSlfPulAL2tUb5n7vm+JyF744G5i2Hmos912s4qOX7vrF9c4pZXRK2/oueNmi8wBPudQln84vV0Pi8bXtqOLft3gA/9c8NCc3PLr/bbKm/GQR/m1JLL3rq3w/bVApLqm57U889qp1wIWsmms5YdmgOzl0EogerYZTwG2/vTxfLcvlTv9Maf1Se+clZ8uDZ78yGtvXKvg0u7ZUu7yoDm9NG/r3PW32sg+J7nzVXr0kVpoKoOpn/rTDCK6kdfyjoDLGG5M4t6tiugYrm9Q+lya7F7THU3YaNWvrXLRF1V8yurnC5knGU/jbUBvsyRVL11Xzr9V1dDxflHW4hYYK13KbzcT2/8ErwJa62CVHxt31+HexJy4yyMVS+srA92kr3rpfQtqy3g2iaoy8n9R4KbWK1hVTq+l/a+xcf0rMFewL4pWY1WUiGD2GOff6/W91y7zFD3RtzuOG4iMhlvfMQdgSNBFRycQy3BZH6EPZdz2/ZaDVDivk1LmNT+lb1GVKuQal+uc7BjMWwOPPyqY2g2cO8+XLy7de6573VKTHlND59obu7K1jmPH2rSojgu0akpu6y2KtnXRP+XvekXLe58nHn4a6w2sroP1FEw+OY9v43WtTvHbzq8BflvbcVPm2z1wL8+1Hu+3L0U0nwI1PHKz1KVD+ci9a8S0yllpXGT0XqcGr7S7VQhPxxhjr82h3bmCr8psyw0Zhzq7lVnjwBsQT46GTWt+t1aerM5rCaXgSgDTsilygFaMKee+waP7jA9UPJTeXR9r/loC+6Rb+r27RQvI6lDeTU+aTaveqeMi+JoemN642d46rk/g7WufGxD6Tk7KJ+ajyP8FHxqIdiMbQYpSry6VqO7iGHNY0JFzRQbteryMXR1Qa20vuLR5rkzXOePMdH7wQeXC+CvTnNs+K7dt/aHL0YYOqL0hwwWXnuargbSGZubpAjN3bbVrK4UdvbpJkh1BXdu4ZDXcC2jAxvANRos+cYL+ITv4tmA5HbN2wVBzvmvNV5lfYod7Tu5t9Z2qY6tfquvwmedmVldcwECrTweo4YPUL+j9Zd3qw3TOdq/xtXNa8vlUbm0MDcj6e+e8wFf1ToNk97UpqOO68SRArs2THlpe7d701wUQquvqV975Kp93PgpWtGqky0j8737+3/isNUe/8q9qjy4NeAryzW9LxvUNnYEulf8nfur8lWYqXO7x880F9r0mP9EO4TYJ3CZe+t/+4l20aPC769C9o8eTHcdf//O7QWiTO8Cb6xvWVgt860tI4Oz3+bt3CWNBALQDKtLvNwtd2tIZMrOAADK4wL5A9Pu2prYG9f7XY3RcByvQnQiGpIpgrc7aDXiqJG9JUz/X6W4frpF8bawVgKdg9un77ctrAUuDeYqyjH4fxHzp8OQgXWFvH57OaYD9WrsK+iq5G0C9ZrxK9xsooUPvdcGEJxriHffvf6WJdgNBNHjadKFGz9goGAgcxfMU3D/R7mkM956Vhyc63XuU3q/x42vt8kuvXcPQPj3xQPvTvvSznaJXgrzdkLcma49Taj+rbN9G17Y6O3XqS8M6kY59LahtcHHBNzxx+9J+XpCvxzUL2EBs53Zzo46lTt1FsS849dpcdmx3jq+sXF3ruGYt5nB7hMta1waRE/2SJeJU9LqO37UZ9BrLm6Vr39HkSb/YMZqDLMgS9PQarn2z5k9BLcdPdUc3smgfHMexeGodU+elfGBO6txcx+DamYKBG/eyaaO9wNjYblBbR6VZJnTzXlsl4B2NKzd4A492Xjmt+l0dyyHSn2s/jLNjblmbMd2gtnMg0L80q0N573kB6yc5K92vTewxNyuHr7r+uPZs/5X/Lj2f+Eo/bqm11rLO13hS05cCXOvPAN1t6vIbv/Ebn6cXe96T7r5+CJ6pzC5YbqUFAK08BtxrUGv+8bdmTszr5S1zUd7iZNcHBD60OujySnVKj6tOuT5XdR56o7n+tPqr4GbbrfZx7d6jsnNtZXn3NZtSIOiJ9y496rNf35U+MFfkdt+nU7oL7lPs0Pm9x1z/qLrZfDuuNLlJFtcQ2N59LQaQzB7Qee7h6Rf7f7Li6TASVJXxghp3LtDHutP75IPy2G9HfwrAAbHdaJMMG1MD91aTdLlKg+KrB5u0RFu6vyDlk04o7wugAXujlWqQ9y1TSyEUib/Koa0OQ5VjFXsZrYqvyEWdLMQqURtQlXBFpepMdjy3D/7z/W6c0XG41y3xuGhd+/qG+NnGmlK/ymJCYHc+rQri0vrep8bolqkZTwP/nltDeJ2vi2y/hp5VId2gtf29CudpXhxXR7f37fyUZwiV/hg7QaQ4Ls+iTcuOZGiADYLajv06QjUal763XQNTPuo89BoN2DqvVST3vAss3ODmNjxdI1gErefpT2WRkz/lvsdCLKjdc2vvPUrzt60jLx9cJ6I7JlZGSqOrg27GmUwyJvRIFXQzAbcMjVxfVL9OUf/jkFWPXr1lTJf/r6N89Wpfbb1X5bJ6sn0SHE5PDUGVSeq2/E+Bv+zrzqlugww7l4PazNNT0OazElV9bmZw2SObGM0o1kEq//baltWYpwYPzYrLKtokrqh056yltJfuaOq9dFHaSOcU8d892Q3n3Ay5x+utbdx7tujkba9mccwBdLxBWXmMIyWovQBCg94GtXRs10ZdeqyfzSw3+9zHqbRVVpt5kpF/2hm2ywiMBb+Z32ZAr6/gvldnVq+XR3r81UPXppbOrfZpYN5qh1YG0MnkvsFcKyh8f3LoG/CZ/ycnv/dZ37audjK9ZzFfe/I0V9e2u77M02S2Qa156vOP8Vu/q3Axho0ZSHb7VL7RF3S/mXeZbnTHG62aaFDd611/dS+ys2Nl9fc7Wa1duWsZ8YX+1z4+8XkrUKpD77yXJ8q7aOm/ZkoF1AUTrt/S0nggY+1hfcHpN5l5SwLYmPaP7q3uKW/uc3X49Yc73htA8pN9JntdImVOLs23rGp+4PgXGGN+prPn83zZl33Zm4Cx/Hfltomu/e5ZtdWt9Pdo5H5tv/3uuewPO3uzqw1+8cbdkFYFxuW/2wr+CKyffMO2+v3Vd53bjXUbi75t6dT/UFBbZECnGiisI9aEIC6FtHM8ExFafgWhn+vMuZ7yIRsUSLMrKasj8ITm778+kuAGuO13z+m1OhmE6R5XBSvgxYg1HhTbfofGzAGTvVrzYGPG/Qa0DRq0GirK7Z6z39GvwkSAntpV0nX6oEKc3zqF7ROlY97qlDwFC+ju/JZUlPeKHqHt5dX2Hz/jhe7KWdSoxqWP55ii2mslGc65PKe/yvacX9TdObeEjCJpcPiUUS/A0t9ea9eg6Gs32rnBztscOfRrwFt+0G/93O8f//jHX+R3yupTn/rU5/Hx7V8DthozfReM6Btj6poX4e9x5fk6wb0PY9PyzEvL9r/XZ/irH7s+lvODRr1vgZk6lnvvbp3Vm9eY4wuGmaxpvUZ5twZ0x8xYLyPz67/+6y/XGi8vQHJeS5IEMX0utLFUB5K56bYZzsnSAsR9niPQeW5ZLHp2nZ/xd73pPk+Xrt/bcVvpVjMu5gFdreulO8hENwipvjcP67u1UdV7pYk2vsdPBTXuRnOVAXOEnvhOaZ6shtI0+nXH7H6zJ6PDHqfFcVQ6Tce1rNH90FmgIdgoL7dM1Jor12+wXVtQIEfZnhfZ3X3m1LY/ZJBNpE/ZIgAUoKRtx9ihuWW3ld/KUm2gcW4cgnCt12DTGnTq/8bjPl3jXf1EXzlu5b115tb/8bTrFnRCZ7zsvkpo67PsuP5+14viof3Wz+VLtLCXBF1xW3X3mkwXXhgw5jUexVuCGnpkY69eqX1VvtqyS8ATe9vn0Bs3mpmv0uj6jgUK+ggjtACa2TjLHLVMtHOLb3auzcvMgflAV9kr8vpUwdR7jB6jZel8/ZNWW9Ato/ca3Ywm5hVd98LndqBHU2tA68N3OQJ61RcEwpn30XD88J//83/+vHLou7Fk7SH+orONtWvOO4+ylw3Wel3no139kFsFMn9mczibuKoFOnI7rS/g/fIv//J3vviLv/jlWDJb3X8Blevn6Deghz7iV7a/vxOf+GZqO47OZ6uqyCiaFRTbPQH8LTO/sZGd5ff7Pt+qAf28oOxTBnmfP/e5z/036/Xf0/Lj+x3z1qnTiiquFUWpE650qU7Dve4GPYbvw7kZOhOBOA0eG7gW1dSH3rPBWs+76zCbHXG9Wzp4Myc3ELyBr40W9io6tEZptL8dk3tcmlMmN+tg7i4aKKip43kDGo1xRvvyw6V7nZk6og02Cgy0TOei5Q2qeyxeaXbD5waKFzAxliqqZgor8C0NWzDLaD4pQk4nxcohLK3N6fgaItdMkIdYu+9rjx64wMb9r/S+mSqOK/T5BrU34LqNU1M6XIDhGuA5a9ssau/lp967clpHpwBNnQ7HXWS/61QbXKLzVaTkutfEdxctvDSpUbLe6WZ9lNg1QOk1Lo0LaKCjzAIZbJDnPhc0dK8nx7Nj7TX2mnP0H//jf3x5LSgaD+81h8OYLyrbIIhTh+7oW2fT8gpjhNZfvmugX0BBE4jK+sxJ03/OgMeE7NgG+7v2AgYBkUwPu3OX2nBIV22wY1dWv+BWE4hfIGHO2vpho6Y1eqT2AB9VPxqfwN21jMUY6Yw1OtqaqNGDLNApsqLNCDWoJVPAY7T2TMW9XAfNOtddg1e75b+WnVcnK3ero0avcsQF6ddu3UcH7fyd1zXWtcu1+/pg/KOZqpTNFd685cpkE5+tsSP/6T/9pzfnjM9uZYd34Mv1F3bOeHqvfefIGwvaNrNXZ5F9re6vPul8VC+2j81s+U6On2yD8wTOBTgEhzYa4/fgE3RsQOQlcNz1lijp//UNF2jQSxewvbb0yT+rfSn/3gBj48db+/0GVZXjBkZ4VUBcEMhr1wXikFfjebIXbI7n8F7AW1/KB6pu9t5Ah45rcISXWgbr+MmcgI78FLAp8EJ/0EPmZf3A55O7gm18WbRsUNuArTYOXe/84vWCBaVpA87SjG5vW+BqI9ddH+1XybD/5ufMPpif64933ntM5W/fb/WCNcevxStfmLXO9R8alxQcuHN0X9XfDWrd5wlk6bV9R9/qlgum4fHN7ewqUPB9W1N7J79MW8XR2u91mrLe/3Wi66QUXcJICD2DUjS4jqnPN+tXhLjOqus3k2LyiqQU1SoTXuTSpN/JbJZBP3tcg1rlNxeVMMY6ncbR/+pQYvwGtW01zK1jLy2r+I2pBrz9vIFFlcDT56LZznMvaBt+qINUodz3m4Hh0OwcfFJj32BItvo6ngSLk1anwEtWqQFqnVFOZ41aS/Cb3ZwxUYLEwdj17dRJ+dZZ9fkGjAUW6sgU5HAcxWgn4vL5k1NaGbnVE7IzRZi1mxX1eJ8Ftle/4M2CW/5rUNtMZwGCovr0T/myzkmdB3KA1uWxzv0NOp6CWkFGwSXvd31njVznseBAwZW9Wi7XTZAKaFUX46t7j8q08dys2X/4D//hJUM7BFpGZWOQRYMCXx7rq/oXnTkie9/1ZH3sDlnnWT8voFPQk95qKaNM7QJwY1IxsXN3TPXevqP1ruGh8sDUllezGas2MPYd7/+3BbX4iUNIbvBowZHSAG8J7NZfMqv81/c6oLI7Aml0k/UEoMl0mU8yhm/Rjo3cWGRGlUWjRatwmsF+cirrUNU+AjvItb7g5cp/QSfy3Maulk6VWcFdneYduzEu080mcixtFtaMXf0F4+c0DxCyrm08CTxp8L1rjM5PQSh+xT/0nf4Ym3t0OYBrt7wanW5Qq2TyBoO7V7NmzkfrJ4e2zdwDlKzD5qPcEvYGRE/lxvh3Du/613nBn7MzjkcDtoOsdv7qX5GpO6++A/c2BmMy7+jhXv4rOFne63KZ+hjkp5UFrRYzprb6Hg3Q78uY1v/px72m01umimeARl7khwzi89EUUGgO2JwGntcPLigqSzvdrSrB/3w9YAgaAtabdPDaOaVn6UUnXj1g7vhYBTfwXdsCVkHt+ibrvKB2/DngZTbNfNXvLU0a1PKZ6msBLuky7/U1fuf4OR1XdUFb+a79ub4e/jIG516g8sl2l+alZf3U+lyuT8YHCr6vux9Di6pkKsgtMzPgKjPKwa6JzR7ViW1QC9WHWtk5zS7MTVnXSW27Dikn8JYIznhAzxpkN8DWH0xQZSa43PcZZhNLoT0FtRsT56sZoZbOFBAYAuT+BH2/rwTCGjKoLgelinb/F5lHt2YFPaTeby2RbaC8eaximlKqQAhGCjQ0g3UzTYLlonnoLgOLns53jvnYcR63oyReYNtNTDo3mqAA0gt9Az54PM1oxOHt40g2j6P9BJHjJhOLr8gB497dKXec9brmfv+vhEUgvb4oebwoWpFFMsvx6Q6AM2Itm9qrgYj5q4NeZ4lT5r07/S0gx+vNerneSnO+8iu/8g3Nq+DwqvJKhrrlpS2fK0Cwscxp5DB1vC1do1MY7e7yx5l2TB+WXmXdoKpjwMNkUvbQC78DPQqiuXaDWJk0MtpS1cl6M3T6IZBAOxnTuwNr9SH+Wd/HwwtmP/3pT7/Qc7zBCeyulOazmYvKcwPaLndoMMIp3VjWv/GGwJfOKXDhmsAv4xXw7zrWkE4G65RyCujAbsLH4Jozgcyu7ZE1rRSi6xbw0wNzYIy1GQyN/th4d46gsuBE7eSuRxbpkfVRVqtBKlrIANfO6NMcLfegT9ef6cnaztKLg9UyZfabU8vRc20gBZ1gzlv2WD3uM9qTX/wvWNu1BYWyXEXxL+ir4a0buDquPLv7bxM72dFl+qtn7diO3wSU+LE2e2MfgDddy84qZd732hj6CihTX2gvgJJM0PpsEzCA0z43qEWnrucz7mZlC14PbCzQUb1cutY/2/Hlt+oYfV2r7tjvqpEKGnTJWkt98evOnS3cY4W+9Vu/9WV+pqt+7Md+7AVcWQP8yewOmLCB1I7/6q/+6pd7j2Z0ksoDdnlzNju233YOIHQ02bED/PZ7N41Tzo+eBbK7LhVdBXwNJOghMgicG4Am87eSVjrrNnZm56z/gqyCp8C+XZsfwMfBc/xHuragEt7ZfIgJRvuuyWzgo3S1vr+2+6pWAdTxGfed70c+7JOw1+4xe9HAqgFuAyZ+Nh3Jto8/Nn8SZpNJfr/d7dm6Vtho4pL1YXxJJ26e+HAN2BrYXR+iurpBbcFB9DEXYig65LeStOl8Vq/zVRqf4dfa2psQu7Fa+bUArvvWRvMxCn7f4PtJfyyoHSj4vgS1RZ5LrJayyERQpCZJMNYBUsadiF2rARbBZ7wpOsaBE0oB75hbjvCEBjRoLnKuhES/uqMZZYTRuuaSAddnpVqdsKeAvYGqzE0nuOVZdX67IJ2DtL5u8td3RraBZDNcNcwtWSLoG8+uO0XFkdO3q7AaiGD8/teNSYqWFqVlnPcdGs3BaIBsYxZC7nrKK0s3zi1nugj3Xi3TquCiFUWlv6oF5mjKrCodNu7Rf/c0ltKhZeyMiHlS4sMI+p9C9L9n4gp06mQYWxVWAQ+lXmg7w6af7teMyL02/r98wuHcS593jRlUmdwGfuvXjMiXfumXvrl+kWl0mEGrk9/AibIsP1KWHoFCfuu4MpaccPwPINgLyGCMshR9nlxfN6htJgmSqi8to3uqpKAX+ogcek+fBPTANPzq/voiAG02ooBZg3P32LUXpO21taiqR25AwmFsZryy135wSG14BzDDT/R1s+TKkj2Cpk6hvpJd80TO6QP9LSjT8+nvIvx4SBlhA7YGYe7NUd4cT+4LvJGTIvvkRamf/xpwy8qMRoJafAbx93xH+rPz0fL7Bm5sY8uqy8+VtWbM8A1aNiN7eb+Ar8oqj+rpfa5uwY8C4JuJbkCAT9Cux8me3myKQAOAJ2Cmj4Fo04mzG0C+6gvOq3JkOtYcCUR37H7j1wxYUXJMrltpotzduP2+oKOZPfK83/EzQKjrUvE0ProlyeSua1DrPLMLG+90eAFbfI0u5IKv01ZQlV4zzvV592lFx44Zf8/nqENN1tFsn7fxzuzH3pcp2wvvmuPJGDuwsbG3+2+yyk55BzbUBnpU1XXWgVPr5/oreDFX+Fw5Ll1Snjcfghh0LIjDT74+9r/9t//2TUDZ1koZgPWdk419tPe4FNfgQ6/5rbZJULTzunaejZjv0yRIqxTZuvLABWYlCeq/kFO+nnkyl+vPwAW8VxlrkgZdG4ThKX7Pxr93iSjjLx/b++bStDaOz9/HQfacJnXqKzdmou9rg+qLFtztPhBfmGqXVpzR1XRC/eAG1l1L7dXgtzHMrfhobIbXy7e1r2SstuAmC1zDjtHve1BbAa3iGsM1q4a5G8Q1o2GSTHKNOsN0CVwHjzL0H+ai8Dt5jikq4vpluLsmrA5+z1e+2kCX8rslAB1DGzo2a130rQajL+AB1K1B7X1Qs9aSTJtmcBKqiCaYZTgbt7wwTLLRxlJjZn5cu/N7kRqKaa8Zfk4EJ4WQVDmiuaxBnfXSR/aIwEMCW6ZRpXGRIjyIv+rYyGrgCwZ/x24cSn8qKzVeHJHSi8BzNAtAcJ5bWoW2zYTh8fK06zN2LXnl3DWTWIVjriqD5qMgQZE75zebdYOcXXN07JpaYzCOvfA0J7trSm55TsvVeg45uOBHeQCtyIb+C1iaYfb56pGrn4qoCmztHdDyrWaW2pcLHqLtBZBugGC+mmV7qoRpQ+9mNQS2LUt33wZszi0oIeAiA1BiZcVQ/fJ1dxUvYGIOGHw6oQFtX+7XALzZJqV0WsE8Du14oBvL4A3zcvUlZ2vOnsC9u0ZWnzfw7nrEGvv9J2OwVx3PbsDE4dbqSJYHG1TIgHcNb3U9p7MoegNRDgu9dwEe8+S5jLIfBZR7XTrqOk6cq4KDnTO0c52CRejYZrxKipX5tu33OfyzoehAJwIWBVylWUE7vomslTJ4GadbvbVry2DV/9l1158CssYlyJHln1PfLBa/4ElO2oddoxVtZKW7EOOnJhjQ+9rQS09z2vkVkHi+bfXf3XiqZcds8c7bcas4WKYWcLr+LWs6WnC2BSuC4vqcAt7qFXqyflt1SG0hGu789QEoin+vPBdwdAz7eP0RSzA8+kWFUrOVqmduqy+NdlfX79z5KaM/HiS7fIwG+wXj+UV4b8fcUnI6r3Jfmwu4p0dbcm+cteWSKmt8xO6mDKjHpwBvgSy9WF/a/WqHzU+BgqunnjLjtdlsTQF6/XSNltm3Ko7dayCJlpIaV08WlOs4fydLYKpzO/76H21k23XqB1aeG/D32PI2Pax/reSqb6Y/vlef8PXfl6AWQtp1MDoBse9EQ+SbUTIAhmDX2f9d20ehcaDdg7Ibo7f0ETH6+BuK6MnwaiZCUNEUfxHhOqrO67nrp/N6LKZdw5zQN8bQ+EY7ux7XoXIepqQs7T667zuPM640yRxgKrQrUl06tTQBmFCGrpKvM1dGboDZDJpr3PWEzYbPkWimXGDbuVcqQslZM4OnGohxHKqsCUfRqidjvEb4PBrEvOyedrKjuNcXpY4LBDije9Vhd42dt+NnhLsrKYWOx27wpKSomZmWxpZHq2gaXDS7Y01QAZjKqT6R1xorpZDdQXWNXCoP2jFf8RVf8Xk8rd9dU9tgieKVgSjy3DXjldlreFoKVv6sYu29KVhjBp5wqGqkL89UpzTwbNagqDn5bDap2b8Cgg1qq7/weYGTOoEtZ2XEBKYdNx4DJv3qr/7qO7/8y7/8wpNz/FzTffWpGbjyCF4vyHez8MbXjepGa7uJcxLRmz7ZC+DG4b7rjdc65lbTtNRcWSwnWglil52YP+V51zmpDaErpos5hO7b1oCY3m1mf/dZv5Z5mp5ZPzn/5Mt1l7GTMUPbtemdyjPnnk2ms3ad6SCluZ6D6Lp1jPW3cgyUwOs7ro8eataq6H2d+NqZ8vjGZ00jedfQrZUL6wNwlz1uU3GhXLyPUXH/8f5e7LB+rt94Bg1d39iVRNKDmzMyDEQ2BllFc9X9RQS/ANwCbnTU7jFAUKby53/+598AZ+jm+vpfp53tZ0ea5dm8AQwLfDQgAIia/wKcbbU97rsS2j1iaudN/690lOwuu+2eG4v57BIOGWll9PQz+WWHd27tCZ7nU+6YfZ+MNWNdYLyBJvky101mqCjZ51bROA8tAG34ru+qtSpjdOfkie5WPTZabZO6yW9bl/4BlIxFJcD4m34HMOv/BavIefWLR5nVtzdnuzYbaJ3pxkVvk6tbdSO4a/C8trmePfjar/3al+97WsIqiG4yrPQGVvD/2awGuwXEb1wwGbRxHlo2Y3pbr3flDJCt7TPQiB9snvni+iXOwRfsnHu2Vfb+wHnskP7IgleOC1YDnfp/7UjBgG4SqDm2utN9gbg3YVOas8XtN91zQeb3LKg1qRRZgxb/U3TQWs6wtTg3Y4VpDECWUZajGbiLQJs4hoZiq6AgBqG+5WaYqRtblKHrIOxlTWOzFGuUJgPCqcS4dUIvMgOtQsOL7CupaqDTjFsR6xmKCm4RVY4TI4F2Zd5mZZppo5jMX5kW2lcmrzDUQexOh1Oq1hDNIagj7jFGsqMcCXNoAw7GiHNlfO7JMWhQg74N1qvU8OIU6ozfrjFeniGZQyLj5N77f8Zlx+6/ORsMnb5xclsOZYy7dueTA1qEvUFPnY21KmhjZYTuufsNr6Gn8VY2igxyeGXYuv6kAUPX23ZOZ3zJRoPCu76zmdoaVHPlHPe7WQL0arltS3431mYRyW7RwsvLzfjdMaJnwZ0iknd5hWsY71qdnNK/jyZpSVKBM4YRrWy65LcGyaXzbbvWZHEOyS/8wi+8QfGtOW0fjF3w0jL4Oj/XWTB2Djyd7Zxdv0FtjTKeJtfsggbRBx4IsPTbmreNRfl+QRnyU9BNNm7fx8fmEdCiL3hd/6YH1rfdp86KdvUBHmqGbePnMBofHt4znjcW6z4F09UHN4AsCK3EkEzj9Y997GMvvy2gVZooWNy8WYbCXnDmW8nSgJbe37sSVk4T/Seguj6Gd6AJX+BmjfEQp9/87HWdINk6mym1dHPzu2etzmFefzyiyRwo+W5/K7fAnz/0h/7Qy7xvjLtWNzzjnziHHZisbX2krFezYuwDgA/PLxDbNSevm6/Nwe61APGTn/zky9rSBefr7+wVO7R5KAjE3phTCQbl1zJ6y4juvz6+Doi6Zg3izQrWH1xf9xpg9sEPfvDN0wNatcLuceh3f3KHb2TqFtjsultjygnf+cvUqvoCRqh6aLVTS3sHuq5ZqtLAVn9qu435VsHs/gvaxwPjoQ984APv/NzP/dybPU4E/+Ud5xaMVuk1ueYjtjrKPD2tY945fA/zbBz7b/r9Z3/2Z1/+3xzMXwS+16c3L+0f/4z/uOttLTNQznpVunH9AApuvj784Q+/6Ibea9fu7sMFriW4Rr9f/MVffANaNPjjv8nY81F91id6pH4C+169vnvtP3Shn9G881f71GBx11RVhpZrzm31J77Cb34n8+zjLU9v1RifgW35ouOj3Ff9xQLAdFxjgAavPtPjrVwgf4D7p2C4foR4qD6sLD/7VN/uCUx4T4PablTSSb6OVB1Q55b4ziliwiml4Jp9KJEQpRNTpLdIm/vcl/sW5adEKP0GRGvNANXAchIaTNxSCgzeAKvrX4oKafpaB+kGlgzirksQ9ZtDDWWU4bSmtkh4Sxbd12+CUuOogdZ/NGrGVNZIJkgmxEZW3UCHEigCPF6bIrwGgEEhAEVb61AVbW3gV9q6noafZTP33/owxamsrNczpl1n/1tjUwff3FKcfVC3uSLcVVbG1wyucXY8xtjgvAoMzxgnNL7XaWal4xMEjHcYCs5k0dBuZgQUUX7XNYSlv3ZR08o8eenYu7lGFWd5v/LpmAZ5daDv/F8d0vm4pa6OrYHAUy1TpJw7/gJz1Y+dk/Ks70WnO8YaxQsiXJqX9pufBWTWg3MAbPzFoJPLfR+fc/qNow549V0NU3VpjdaVzRpbRrbrkB2H1lePVH80QCnPXoPfeVXVYU0PkMLacWVzBV6Vh8okV5eTb/pK/5sBtkcEJ6bLYFQ42LmV3l1fykfl2cp+7Q0nAzBoKYC5N77dcw76+mQ3drLdLBTbST52PjvJkQV0CQzqeD0BVNZT8wnKF2QT6LnjNpauu29rSa6gdvde4CTY2ng3Vms0B2ICQ1ru2OqPOsl2rCeTrSaRKV6fm0XeMxgXDO/83atBXsFXvMAX8OgT4M3GMzovczsQcf95HAafZX2rjWxZe/vZde5AAmtQ8VkdaQ7pbXhkfV1mcLQGDksOdE+BjZ3ssZNdB1tgfHO2Pg4QWL88vktp83ismVfyRHeh6xr+AUbRNV2iVXCuusI48e3u/6EPfehlHha8T6cKAOufXj1cXwW/osfGTGd0Twt82MZXu3MwWm4OFnRLzgwEGQBfuw08owdqV8xXdd7V70BCQS29PjrY5X7zTwddX6P+6PrMfxxQgfeAeuRo7/Y5kUgDtraikE6gWySudq3xz16qBIFiKk7qk12dXtCSPZKsQafqrQsAsVeqPugZy0t6373TXeVDMvtFZ/NO8n4rKyv3ZKE+E3vKtghqndu1/87HO75fmaGr165vhTb1md+WmX5Py4+7OQwUiAPE2Wt2qZsMdfMTxCxD+F4BLxMhoHsSOkaEcF2FUWfpBuBFKPRtjo9Jc46+cAaMxbX2exE1gknBFGksc3bDC5szdAKhlF28LujT9xkr82L96+49IYUMKZuZ8A/pHaKJZjvXeK0D0jiSaGh8XTO21sxo0fuu2eTQOLYPVK+j6rrutTFZ79RjOBB1sBpkF/GWGWlAWiHu+hTCVbRw32cERr8GlaPP0HJ0FPh6LIKScNvTy+gK6KH4ULAaBo61+63hl7tOrWOvDDQzpDTffDV4cjx6NCvcjOz+1+9uCsFQCHh3/ORoY91rWaXdE13qUOFpRkYfGqAUOGqG7e6o2dL360Tc9UboVdQYDbxXDwkCLtKM1/Fw9WIV/wXzWn5zdSEDfJ3O8l7Lrt23G9F0Y76rQzu+/Td9sOyOzM/a6DzEeo4xZ48MdSMgga/y2TlOyvYh72scsQswkSP7Mdx1mOauzi36oH3X6ikVttGNHdDRnkwr56NnuqnY7isY26vjs1kQp4tDDGxo+fp1gMjuXoAwfL7/ZGlVHQle+nxbm2xtPBy+BkqCtmZ3qlcLJOjLaOT5n7J0QLc56J65OB6BqJs3drjLfaard85oKGjbNVf6y8HXFzxdwIijxiZVp3OeWgVGL21OmlHTbG6jNFzmeZmmZdN+8id/8iWQHb/P0Z+NHE0Eo+y3x0Dd0scdN2CA3eC4F2Aiy5zv9fUHf/AH3/noRz/6cs3dm1NvnWB1yIISz+9UnbX/J5/4Yu+zU7vG7rMx4OHugnsdcXoNjTb346vRZ7Rb0E93A+/5LzfrovGTlhlcpm7n/rE/9sfe0KWAzc435l3P2uY+sgi9d9wy66OfIHm/CebpHeXGXbNJD3huKD03+ZptHq/TERt7SyYLkrKfZNxa/fX3G7/xG192V568rE+qHoAc1ev4Hy+jaSsV6SMAEZkVtLfx8/hgO296enOwbOdee+rAssjjc1l4fAAQqD4raFoa8JXJgsBXwkf5MXncfI3+k60CtuMzc6scX+XQ5nbj2PfxsvF7pNxooKqCX9Cgr0mxVgYBZdF9fZuPstfki08oMBeoCxiv3a7Nl8Chg/B79RdZEcjWbgBuuq9B78X35/vytdirL3rXRjcD3yqwZkXppWaP8ZDN1vhABVfv/iwdU30p9Oa7FPQviN/EH9twx/q+BLWcuj4GQccb9OhQkUbKqE6Ml63FGW6M0CCxTrVgqai3e9QhLxNADJsRRSzKRPpcFtHmLkUxoGeYhoK5G4NwKnaPLnLuc7z2qnPYsgFttJlBmCIi7FPocxytW5RBszNvy884eOv7rjUFMOUt68D4NXizu+Kua042fgqKE9eSjykcc93NeDige5+ysCZU8EFg76OPGuApk1mJnOCBYEGN1s8i0OaOAUTrGS3otQzVhLdbhq9fRZLXRlcIs4CiDt0cCVmhNUHq5mdKWzDbMkbKB+IKnRv9gS4bN0VOGRD0a0waJNTJcPz6tz5w/iDbMlx9pA/6c4bK1xTnjM76Npp0l2zzh4brx47lOFgPVUS5SGTLP4t2NovWNY5kEr9sfsmQR3MIeNz3PtKqqGBBsBclmccyPZVPFZ01FvzfoFSmqE5Bg2u/jbbmGQ+WDu7RPjM8zgeUFHDAM6o01na9zQ2QZccovxy/z/GRqRU4XeBQ1QFHeGvmGPWCiM6j2zncdKn7W9NUfuAYdadbgR+5IWsbj8CB43KrRuiP2qw5oOgnQ8e+TL7p2PVVNrXAACdofHKzrxo6cuKarbfEY03GwCOJ8PO+4+HZgPE3OSwYo991yjgV7sfW7f1nfuZn3ugp4AK5t7yCLjenMhzkT6n2XrNZ012b4wUQKpccw9Y0W9uKLgGUbCwHbs11OJfmwbyslcfXABYFRTc+a/R2vdmJBeALRuhz/L2gDkA3WrRcFD0WMBQwQ6vqut0XT64/eyTNt33bt73QSma0gRn+qv8z+tXeCkI2jz/yIz/yZlfb2bT1l+5xT/3F4zYkQl88Pjqsrb+j57/+1//6nY9//OMv+rvZwj7yqm0Axu7/z//5P3/nE5/4xAttVTnQg9bN8hHwJH5Dz4IINg3adQZGAOWX9d49Odit9ECfjcsSIvIMHF/fvuZrvubl8/r12c9+9g0f0c/8A+PlkLNJ6/P4gO9qbPp914fXTtD5XUNb/iIr45GBkPt8KxL4xPsfH1h/K+j3mClgEz6ygzsgbefrb5fxdNkL2WSv+fj4nH88OzK6T652X36lgEjCDL+NbvxmvDG/CM3YkL3bl6X+T8Eytgev882B86PX6LH5H1+MjwZojBbAqsr1U1B7QSK2pom4zmW/m3s8TkeTd0Fng8b6DWubK6XW/+u7jz0dvbvnSfdfaZKPP9QsvXc8YK7EDM36qiAy9lbyNnA1HraFDTCGVkyVPoCK9y2o5dQW8UWgW0bUEpf7+Ipu597nNe4cJY7QbKg359M9KJOWz7pGGY6y7jmQqBrOIpSCWhsTCaSnbE1MswoThhmmKUhlSxTl6AbZM4GYopvtELbb/zHWnhdpwxJrLSgJ9OIIctruY1rm/GxsM3brByV8dzdmgCkPJaRKRzxHcu/QL85Enfu1Xasb/swJg+JxNjcXUNVm0KFlnNSbxa4jZC7WZDQEMjIqa54FrDylG61oHJ6WnGys5qkOukxrM3jNjluj5vFCAoDNJXRNZhftmv1jPN2nWReOwUVry18t8YDEMlgCbM5Es2DmwX9ozdlzLUpRWV6dYX31UPYea97L523o3uuQ9ToK5QNo4ujMGMy4N+hCWwCVoLhrK0uzGsmioM244jkl3WTn0r4OGuVPZorK01dKAZuRv6Ac56lAEP3UYF2/ruPZeQAKTK9Mj22u59jKvssAczLqsAOtplsWHABLZO1bwiQjL8MB0KsMVQYK3jQYdH+OVh9tomyMDLRMDp/McakOX+DCWbIO1KOn7KROT8vc7tWA0v9Pjge+Vv1Smylo2WeADXuEfvttgez4e5/XX5m0CyKzZ2ucHTyEdrJgu7aN+vZZdoRd3LjphgEeLaMjzxzsVi3gqV3Txj+znyp0dpyyuZYE0y1AC05eKzDIAXBD1hlA+BTUFgCrI7XfNn46AGChzwuclCfvPgsOgLLNuMsYCk66hKZy65Fh0//L6C1ztfsuC+6eNjyqnNIJ1hWiB7ngG3QdqrknJ+RHJUJt0D7PgZ/c8/OsJzYno9P6vgxffYY6ytp8FjYeL3OgvbMhrs9P4GM6j56pb0GO8Xp9nYJ/5lo1lrXa6Fo5mHytzx4lQ+/tNzYMf+NJATPbPZkUfM7f8fzXBi5r9aPvkoNWtbAjdCVb22UHWs9Bz50rUzqeamazenP93gs99pme7oaS9SsEo3iR3O+7ZzMDxpWKjyaA+50zmqMDf8wmSfovKGtsgd7suvva7AjvkRVVdICMlizTHd3LQNWRNeOqNW5FAvnwwneCsxunPPlB9INNAW/A22ARfdC/evELc0+AC10k+VG/qkGt/pGjZv3pDnxA/sgl/YQWBSEdW/oUTK5v0sxu9cn7lqmVERR81TgUsfaqEMtAIdAUeMskOE4YmLJlwBkv2SBGB+E5RF1LWaeyTMZR6sQQDmts+uzXKXoBxvptUqcgODHr79ZSLLAdEjU0sw/kNoEEbW3XhB5B6Yukmuj1ac8lE3yNLrvPnM/1TZnU7rE+zZEf3dBbZtAuyWsTaI60TIw55XQrbdp1KNCNa5uV7P77zACgITTHeHcPz27d9YaC7b8ZcmgZR1cmHUMrod79u1ZAgNvNPLrjprli4O02R0nJbo9++62K7EUo3i2vruO9sdZpqpBCfJtxlVUXyO61cahKGE0WMOw645c5EpTaGgdMUIv/0Rl97vqMyuJFq3fu7q0fHIii5EXHGUPnj/7jB4EHBawflKZNOShrm1IwikoHqwjb91uWxSgBCwTg5NozzIACMh02YunmQd2AyVg57wL5Kt5Wndw1K81Cco4ZmBo380Dn0B/GZt7HKw0S6LrJKpo2GKfLCvboLz1a3XMNRdHQBnPTKbvn5pqDC5hrwEWX77fxkyypoFaWQBa/Dge6GQee4mA0eClgWRAHGID/yHvvIQtA13Fudo31U0kfhF5gb6On9X+6bjpYkNus/e7lWI6HyiD9bKZ2vwk+lOfJljjnltAy6LJRxjWbMJ4x3gYC3l33ae6nn9hwzq71uoIhenn3WZ9GC/PSOaGP6C6BCpswfTcneTSni5WIKrlu8D/5ruw0qG2WQQAvqN074K6tNomdGz2BsXO0twYSQLm2Pm9jnX/8j//xSwZw15+Nl9llD8f7sqoeFcOnkRmkH8j6eGa8tU2Kxke710pEAaGTo9GLHhpNFwDbDM4OvDIe7LzgxZq+yfLO3/hlXVQo4HubNu07MKF20JxufOvnxrLyVXPMr7nth37oh176OJpJCNBvgF26h21b39e3j3zkI58nK5IfAOpmdMiHPrIT+6702nwLhvDvvsuC7bxVLKhqAXDQo7fyrHYYkLBmGccytvhBwMfGAn/x7HikAYv/9mJfJpvTyWvjn1XEVLfQNXQYf5aOtDba44J23Po3f3GvZab5t+Ozn/7pn36T+euj3RqM65eAu0DiGvrtGuOZje0nfuInXviIPz/AiDyvvxsju+WZ0HQvGWaD0L7JtMmOa9Nx+z55G91UIc3/EtzKYgLZgAuTwQE4gLILlpHP2lPzwEcQk+DhW17c4HZ9L1jveugoUDUXEkKu9UXZRJRv0cQa/0Xyhax0gy4bfKqQKvhfOyrGo8/pZv/rKx6mU9j2lkTXTpn7+lIXMHvPglpKusgv5i4jaxNsW4fPaMpMjpmgnjMKI/KEepOz7el33BTsd33Xd73zUz/1U28CtCJDYzQZ1a5ZVIqCkTcJzQQ0E2anLs7WBFs5FyGaQp6x23kT8gmZMt+/+3f/7ovR2LVn6CDcM4RDpazP6U6+HAC0mgB79pqHPzeDNWO6/5VyTQiV8aD7zoHsTjFBaTeWlQvZjXdKdkI6Wn3Lt3zLm80VRksIn7IDtJ4h2nxtPNtVcfdhjDd265ku4ormAp/1bTT6E3/iT7wxjkO8CbwHmRPEtY1hfR6PyPLY9XDjgRYzPtb/LWCmBCiotR27Y3YNwY+gYPd4IxTvoou7//hwvDke6JbjrtlgRx/t7Ly5m8ArI5xDx/EYHWXId485LBv35mf8R742Dhl3AAQFXAStxn2N89/gi9OwOZ88NXPpWEpJWbYMFeU4mo++67N1TaPJvm9ck9/9vnkun49vAR73+ZprFHQVOeOMJ0dDm2wJoPdSLqmEyrozgAIn0xrRyZHnNDIQ1rO7psAFoi2g5CShVQNDxpdxtEzDmuudb02eDX92bfwio89wCkzX571Uf3D2GRpOWDNxsgt1chpAle50ovVOALn1HwggWEBfaDu+3gsINL6nb0e/lfxbjz79NNkfj3O4OSkApB2Ht2VSOJOtrulzljk3O8aO9ZxXZdhAmcky26TqQHYETTrmlU/OIbMEwXqkAiotdTMHHN86/Bz0zfNobSmETCkewJsbKz0lY+WxNNOfeLJ80F1TZdyUlLZ0bDRQ5aMKY2PY9dl4tBYQtRLHXBl/dx+W/Z3Dus9bt7qAfHwyXTDZXP93j+mU2RhltRx6gSm+5bSNn+iIVnFtLjiG0/FtSi7/yl/5Ky/n7pi/8Tf+xsv4BVwrA7Z0YdnZf/pP/+k7/+bf/Jt3fvRHf/SdP//n//w7f/yP//F3/syf+TPv/PW//tdfwNHde8uCFozaGGt2cb9PD7Z0b7QXwI/OO28yvf+/7/u+74Uu1spae1k/YH1cn83PaGHzQqCpqjKZvNmU+S8775/8k3/ysnZ3ssBXAEqsb5uLyfZ8nJ23OZnNxwMytjt//bQbLbDEo4CubhnvfNM3fdMbh5g9BPJWjwNj1vfpF5vWKXNX+l3gqOesDwIdfpZMl4Cr1TFkQVCz/zY2JfkSLe5Xf4vOBPzSUftuU6yNaT6lLKvEjsd2TaeM3yfLQBA7QguGlCKvoTdAHwDWNn4YD/+lv/SXXnh4QTpatypOefp023zsyeZkdDppPLOy+PGkcuQmf+iTfZYAYjP7OENJh/lP/IXJ5eRpTZWiQA5Itca+oin60/mtvFEibI4FWPt9ssnW0ud4Uz8njwNRbHwIcBuNJqML9PlHu/e1oQ3A2O0C54JZyxfYAIDOeGC0ZPvr//DrVFM02aLyBbhFj//mu/6gChI+yfi81Yf8s2ahVTaWB4Exql3ofr6ZClJ2uNWTO05F5+61PvNrR1u6XqVCQfhme9/XoLaPdRGouXGDkr26jnDEsFZlRsnaPpOJ+ARWSeaOb6NkZSw5te5fBNnkNtOyxvFozTuHWEZMtkKmgUKEHu4aG5cs2/q6Lct3/BTyBMH60RmHZqAafKAhJ/KuudhvUzRjAM8PFLTrt7KSKaB9Ntb1a1nVve8eAuidowx4AmULehmSPkeLAtu4tgGCxx983dd93edl+KasZLd3/ykyj6oRXCjL5hyba6U6yrnmdI7+NouAsnruKWSXMBMWJTQz0FPMFGFpBTW1+5+MgPUamrIc62S7a2pLv4r8y0q0vLdrTNdsJrL+zgHaGp45U6ONNYjNdDhPdlJA1J0oGxDqR4OtlqsWfCIPZAZQ0vu79/o3gymjM6BkdBm9N97J+uZcxmzfrT+lhBsErJXPm02+GTl0Faw9VT+01EimXHmV69bY9jE05lIg0LWUnH7O0M0k1xhzzmSYKXLvO6a7p3OYVGwoZeSo6ZP7QzTN5UXMG1TpI/4UoJpzrdne9cmmUM0iMHrdZ2D8rXxr5y9ryEBzGCZf+z7nbbp/1xtfNFjy8tiLlmi1TOtmxTk6lRn2Y59lVpW9AWNloHfcV33VV73RTXa+RVc6cffiTEPZ1/Bfl1HgdfJXB02jF1Sr2DSlj1EpQHjlWFALTALwtXSbjUYPAUBlTOZGINxN3zhjtfscrG7yJCBxLw4PUIDuH8+Nfu7XHeB37ZaVcrrttFyeZx9mCzlbdQJlI/bb6NhGh8uEzkbMuR4PrJ8y8Ps82/gv/+W/fOHpOdy75/hm/3tkE1uyYEBmTSWIdZECbjp7+nE8NdDImvf5CbvG+rs+TlaAo4C3jUkAuJe1cjteJRXnl4+2e463RkfPI7WBjQozum4B9sYwXb4Aa02FC+eVLrHp57Kw3/7t3/4GACjgqy045mPgC/4B21x5kdkRONODAFHrtyUrqgNl6pvQ6LIHckAnNCsq4KndIX/sEXC4csn+8Kla9SOoEjQIhFWirT8LpKYjx68LfncP/hh5bcVDH4dF5i7N9Xc0AyoNYMFLAIrdczKwuWPDVUeuH5I3rfbSFwkfY2vZqI359trY+IEb75I9yrtVZwCNAQkA5t1L1dCOV+3QR6qxe5bCmUM6df2ZrjDnXSLHT2HXdj/BdysCABMbzzY5W3+XIW/Db65NjzWDS5eRE3y23y09u+XIeJRcs+8t9y0Q65pfGB+QXdz5MtOWy/Df9ftW3QlqxRx0tOqE2sDaZWN1X1Vmo7N+bR6nS/HArSojQwXq35egFrLSumcdaNksYjDQCKs0d0HtlDmHguOyY5QIEC6oe5UDIReENRN369H1iRJwDOedAwVF5CytH9Af6z05C0ogZRg9N25BitK2CTD0VsnmLQ/EmJx942mz8Y3SDcLP2G8MykntVNbM9AzohHV92phkTpVAee0Ym13JUnJCbAS1uZuxn9HnfK+/1o4oaWXQobfWUWFeQmcDEWgntHWB+IKmGVhl11CnAgyMuvF4rt6UkBJCzrx5R7v9v/m1trvrlygO47epRNcOVZHXQSewFG8zxoCFXW/8MXou+F423WZXo5dMTQ2rjJVAtwE25UXp3YCBgiwYxUGk3KzdqyIhW/tPpkMWZ+MwF5snjhMaMNKCNgaC81v+11qiV9l9o6wSnLV/LfWRUa0xlqkdv/Wh8XWElVkpTRKcCoBb1uPe16GgCzlU+iSApuwZYi96hLExJveA0LpedUhBxas7CjwaR8vs6Wl93Pno051Nm4GTZWlpY6t2BFh2klW+a9MZ1Sw73porGRcAGR3fMqv2ueMyJwIK5ZiTa1nS0Q+gBtRQFslOjK/nGJmb9X/ZKnM5fua8yuDIABRYIY8M/wUxZWs883p0ERyqkCjY03XzggA0YTM45YJXcyygQmM8wsGWbRKsFKhzrzW6a00QKagtz1e3kKvxymgH/V9/lRSSaXasDhTeRtP6GpunBq/0ToMiQLeGDp6XOud6emv2Ub8893O2YBmu+SdrqiT2n4oE/bE/BYfZ+DmhdL+duFUsCIZsSrOmKoyPIXjzeXZ0fQA8ydTilwtoAP3ZdCCRDZPwzvyX0YMt9Pxjfgl5EbDtv9Hnz/25P/cmO/5UIjgwCW3x1/rQShR+XcuSVTIUkFNujRfMOUe42VT8azmbedAPQDPdhveuvOmbQI4d6zy7Tp1u98RzLZWlt2QXLe+wvn/NIwybHWXj8XVLNNvqm24+N6+j6RIugFdAh8pEvpclbeu3PT9aUlyAjQ2m67zWd/7kxgdgWZvPP9nbdYHi45/1B6i3vkzGNlYyBFTi26rGJIO7r8fKWS6IF22GRRfS98At/haftssO11S0rK/z0/g2bbdiFbBeQAt/4OH6ZpZqOV52t1VrDWr5R/Xhrg/wO4nH+BCzNfbLoAcACWSwc/z0YiPqewhq2UAB78bdx1tKNNAX5hBwTu46r8byvgW1fZjxjardnGGS5ldeNaackvMcuG/4hm94YfIhSZw5SP8QLDukyfqNUYc4UQ5jRAh5DTrhpwyuc4w5lPNwoibEEFYZFcLIgVi/lpGccZnCGMr7tV/7tS+v/b8+o9OElkGfYrH2tYqIc7LfNsaLkK95YPr6MzBA6QXnBnOinfLKnTOjDEEevTxegWNJ4Gz+1Cy8bMYEen2f8d9rQe3GIyjjlKObAHWKCbq4z30s0cY0Ws5pnDLZ9Xa/CZ1d+UaPXWuZTA9T39jMx/o+ukP095+1u3NWbNCw/7uTpuAe4rzfd9z6qEGFN89zNJQzc95eK4UQJMhm2SgHWrV+bYybn80lJHRziPfWdl88bV30rqUMe22/KSdREtjyDf0RQFKYMq7WmkBGux6D4Rc0zuDKLAnyAQ1D4zeX4/OV43s+37IgMvw1iIJH/PuEdnISjI0htkkVnmv2tveQBVJKRlkLZtGi5azmduPeHNVJr46TKWgVwK3CoNzpj92TrKoGeVG+2dUdoszQNMDwiBfGsE6EoLQ7L9MvLYMG8Ahu1oAnMlWAINnHvSYX48HRc/pjcj95HIA3R0klyb/6V//qpS+T2/GpNXrTg8DBjX3zaOy7l3Vj+I9xbbZTea2+3uyAubK3gLVnsjdAAdehi7ab+sa8Me44z2qlS2VqBbU7bpmN0R1AQtfKxtooSFt/u+5NKeB0H5SaHADSLlDQJRQyUYKwVqEU+S/wXH01mkz2pyvJFrCaTLlebaf79fFBoyUHvM6/UlW/AxhkYGVNzFf1lvndfTiwa2i88+hBe00IugscleboNn9jZbjWDP7pP/2n34DBm4PpMTZm/8/20N275njApoXjf+CtgGwvy6yaeQBsmxcZkcnf+GkZs937L/yFv/Byn/HI5gfowJ+Zndz3ZVZ3T7ZFFYTyY3PR5Rdf//Vf/0b/j3dlfPeavdl9d52N1VIv+nN2i/7CSxvX/LmNZyC0QOTS3Fi7CRh+Y/fI+c7HZ+MT4+fgj36bHxtCkhG62BIC+gB40CyzihgAah+t1yVJ+J9e5XfRS/wqY1bZ0rnXB7qrVQXr9w//8A+/ASWmJwXfjlHRRe+vDxsDYK66XCNrAx12T9WG+i5BQqdPB7J/vd76MB73H9sF4BSYTP7Nq7m1x0iB3/Hzypx33pYmffd3f/cbYGdy5drrl93z50vsxa9vpl2mnq4yD+sv/cDmN1OqScagtV3CVRCSo8lGq3Oe1uubN3yALtNv5l72uUkG51kDb1ka31FGFh+6h8AX6FQf5H9793GksvJkZksP5pcBrVVGqZAUQHuMFQCs1T/6s2MlHUczPuVTADzfAI1334LV/DcyfpdSNcFyExzv6UZRLf3jBF6HCxOUwTdwiDjjtODFWoMibVDRMbsNiijkluhxVmtAyuS37HLHK6USKArAKTLlGdbZjHHsIriJmyO3CbVuzBqc9dkaml1TkNhnpAkuTBJmbIaDkGgcXEyhjMQ1ZA44IGNWDpyMq3LpMTUn3/xxeggHYwnp3DkeRL/f5viNNnPKpqj2IhwclxfGevfao9nGYA3nxsARXJ9nSNFEudzGYZ3kDLjAbuPuejGlvIJaqJ7guaAL4VQeSVnPUVg/rA1bqxIS0N/S4yLTRd4a4OBnazU2Dv3d+qwpmtFR1mF0gli6BsdA4xBAzzlJ7RtDDumVCdt9rV2TcdNnY8L/3XxmPA7RXL8ZMo7kaLdxrCRtSvkzn/nMi+HcOKYkOYr6h59vppN81EHV7/0HWGjGquW/t8xnNOr6m5ZYFvUHKNAjxnfLv5oVbJBe2jWoLG+Qp4s4Op5Oct3yUo2mIMn8lgYFXJwPMFPG1SwgUE0pY9+7rMFyga2HnU7eNcdHeGD88Rf/4l98U84FcOSAqDDB23R27QOnU0ao9FP6+oRCmxcZSrIuSIaCc1ytm7MWbdeZjprzpFJCYGhu9v+cTqWp3Sho4/GccI6BLJf56uMI0AgfV4cIMCsrLQNnPzlKdAkHpNUJzQhVD3Yu2JOuGX9C53c9esejzyqjbCz+x6sCsoI45KAljBeIMT4bltCFAoaunbPTdZccAMBsqrXGbi4Ink2bTv+jf/SPvvMDP/ADbxz16bD9vmuvtLbBtrHYXIrM2SBIJVF1kDk1D16AhdmeOfp73M1A/smUZ7Gju3mbc7jGfss2shX1K5oBVaWiSgp9NhZLnnZ9z2cFSst2k9X97pFFu8b3fM/3vHmSgqVPN2vIacWbdA4+W//6lIGW+QL47LiMB+2+jef6GR0KBuEt4Fn9TBVeKjDYy770ubvSVrcYZ9d46ousau0xfqpDv3mXaOiGTCoWur8Au0yGbmBrmdTWgi+zODBjYM52ol4fZpd3/x03/3v/60c3Beqyj/a1GcabVaM36Sy02Ti2Xnfv4+Pv+I7veJnH7hhNP0xu5y/svOlZSbHae01fai+r/+hP+qP2X6CM5y0/Wx9GIwDW1pgPvNkcLdjeOFrVt1ZeoJOB9+jXRBS+wA+CdMtSHCuO2vXYYHas8uXe+vJbyeLO7q/vre6QgNIsRbFkqDoE/RqoehVUvWC7731c2K1quGArH6j20jjft6C22dk6Yi1brMBzWJRrYfBNniwhpiUM0Lo1qXHEKBGhEZw5fdOHOocIeMuRGVmMxwhRtM5nOJTv2RTHsZgL2sRR7ITXQW1/6gigY0sEoZkE4JYwGH8FmuHcdThq+90uh0WK0LmIfwNBO68KkJUW7h597i/g4ZZXuO+OsYsxvrBRSYMz6D7BB3CYC2NzL/dR4kXw0JhgyeRTGnhgjpNSLY3BhbTambDKklK4QQSHhlNv3qxDpZTG93gfasZJ44jUCTBXwBgVBw2aqlTazyqwzaV1hfjadV2Dc83B8DgjoAC+pKBlXuYUWiux65MJvH8V3w3+mq0tQud88o9HGtw6hhPmGuabnJA3/EPuVERQqujdtfmvOfwNTJ4C4SrvBm3mzZi6S2D5qY4lh48OblBbXjTngr0nZL/lkUrNyBddbS37AsEBFJv30Uo5kX4sUBAE66tx0dXNYrpvdw5vQFR69lpPyK3/W36oBOpJHwlAVFI0yAaUciZdVzXLXmS1Tgad1A2tlBWX7gVZmqFyH0i/MTXwAPDcdcdPQAn+xiteArO9bNTB+S+fl//oMPzJ8b3gQ50XrXaJPJLzrsOt3FTuzBcbwY9omTEbycFTJdDmfPsyyLRX71lvts/j5/IdR19wwyG3J0P9D3PAUWNfWoqp/HO6cvdappZDyp8ob3smvPXsyirRSB9kU9FTQMlWkAkOq0Bb31wT8LHzAagD8j2OaBU6C8oHHNjQqbJb3V1+wjflnTrK+mn33jWbLnWNKjqXVuVDcldf1FhtcNPNbwpiXrnauwoJNKWv8V39UWPXTy+0bzaW7yKLteOACfQCWbj2yLy3WYowvvrmb/7mFzss+7z72BBzfdg9910wC8woQFM9hdbXFyVb+BS/sNOeGmJDzmWA1wBWaEFvLRDb3K+CYccA3lrF2P7hIXNGb7NNXuSx/iP5xlsb1wAecrpKivVn8juaeo53W/WE+ah/XT1vTmU9+av41FInVTSlD7lhX/u97X99N/awlIrfD9SpXACp0IM9RlOVueS4yZLuF0PHdNz4o77zBR1c7yYGOt4nG/eeBrUNaCma/g59o3Qo+/1HeExS0UvZQJNtgAx613hB1nqdrh2q4FMG+lcl2DIRxkFGp5vcQFqU4u27he6yo3UKGiw3+wLZMoF+q7PNedKsTa1yFMSvQVyv84spoD4EncNewayToraf08nIKaXeuRv3DA0nQ3/Rb46tB6/v+xTZrjOUq5kFAZEsKaUqo9NxNGuCDpAs84yW6vjxg/LG8gz+4tgqmVsz39Yke/xQDe9FLiku/FgFQCjnuBRtVN7StUSAnCKikFlItvIsBuZFkJN5X9NX/cJr1lDtvM2nMpbujLr/lA3v5fmFHucxGRD4zMHaa3M3Y7DjR38PLJfNYkDQ4hrkAimXz/HxzQSUP/BAnX2NvBVEUgpJP92dfuucUuJ0h3tdZ0r/OAX+ZyAbeDdg0Lc6+I4vf5E3stC5di397DF0bMGYNcau+tv77qcEas7rlokoZ5uuHg/MUVEKZ2xAPzpFNcCTwwnwtJcAvbP/ChoVyW/gWPCijoVyuYKU3aCLM2uDHfZixxSsUdEyXh6tFnzs/VOf+tTLtZt5Xp9l+LvZxq1GENhD3mVOOfKjbccO7O116elmL7pGtbtJ0uForkJj963DU8fFtaqDAHM2+msJYvUNeSm/txWRp2cdC9Tk9KEd8IQMTGeqpDIe59JlHn1S/cJJG/i2Od35qshUOOG96TqAsH5wSCsfzcYJKIzfvO23legaw86bLzGZ2jhW5ryqHYAmHVY+sOHa6LRlWMsejd/YUXMmYKXr+l/9Ns7zjleSWB293wQXnPpluQXDo+E//If/8KV6w6aAl9dbrotX2DeBBH+PnuKfABL2nwouvIEutbv1p/CBwFOZP9mY/VsGDh81yL4ONN0CuJKU2TiAXZt3GfuWGFeX+40/JoOl/62MIufAk+rs+jF4q82SicokGtrll6+0/m+e6wewId1xvvpwn5uosoRKLDDathzcetXtQrzNRVeRMH7ab90/o8DkqvP2fXrWetZdt+s/bSTWJAzZqg/F90BXNsBmtIIugJ3KJnTjL228A3XZjLabSPDiy1xwYM3Gg/fxc+hNLnzn6+Jh88+3wGf/5d3KIckLm3Wx8+RK//hW7MN+YxMqSzsecNM5Y2MLDDdxR6dUtpxTm0+/FugHDN3EzHse1N7MIiVZNMoGFo3KTUYnXeCkvMr6lDK4a3Stro0T9IfxboaOYr8ZNETSV+vICO0MJIFUStuMSxEeinRNjfm+U2zW4wgUO3aTR5A4i1NKyjXXPIqBkboOL+XlO6QfEwnM97llUi2lkV1ea0mbF7ralpwwzrBB5hjjvUbP0dFOyfpPee+/jWOBL2NmK3vb9zew69xSFJ0XNBDwQVDRa5+tjSmwQVi7DkzbeUMUNxcC6ZZrl+ZdH2DO8Hs3ySiCqewJ2t+yQjSHelEmjKi12WSFPDpeP81fy9WBIMsaz0lfSU13pMQTZJqTyGmxazn61snYNde3zZ++mAO0qow2SKUjOOEXQADEoA9lfLebJ98NGinObt7iERvohWcE0fhLX/EZOqJlq0PIVNFF9zcnHPkGIwxUy71qODsnqljquJa++NO6U4Fg6atBZlt9s4amo/fme7/PsAuW0NEzlzkGdrFtf+qk7tUd57vrIQe0mUVOHVriCTRppQhaNojHOzfjVjtF16soKJ+WF+2GD3wV0Bb5R5euP+veDMZMp1kvJ9tblB6N2NjquMqz3wVk+lLwA013nkcHsXvuWfCkPIymHL/RYRkU6w9l7cmJqiHf8WqvWQflZlNkoQsGC6qNw+NePI9d9ZHNYp5K2IB0nPsdOz21/i9AHC2A5vwAQS0ghW7BF+MfO74X9AIej1bmQfZj19t9PVrve7/3e1/s6I4BFNQ2o+V+t6P/1q9vHnf/9d3j12RX15y7PrD9Lf1l8xv8ApjNTzMpu++WnuwZo3hbyb4lYtUttTfVnfRAA7jyRZ1lm8rQZ7sH8LW8wakurxaMknwwTxvL6D+wjozaz4L80p+VW/xx5wb4RH+pxnAt8tvgzXc7eKM3/muioTLiPNV1FzhiF+dHqmwaL+/7+Mzu2u5rTeVo0sfl7JiNuWBXZZy99M4fp3PZOdU7+/zJT37yJcPvETB8UUAjmgpi559MvvfdM6TNM59OEqQ+XUuO8Ud1C3s3Pbb+W5LGX7MGHOiHLwBld70+fruZR61BGl7h81taB9wTzCoJdi3+Sv1X9ts99/ov727qSUexhZXHndtHUvV8wF+BoQLNYjTZf0CC4Fu/8ArQwf35jfu91YZPgS+fpXHPex7U3omqI9TfMQ0Fj0DtYI8jnEUUe55JpvQYasfd69zAr4a6UT8H1/oeDkYV0UW9mtHohEAC69i6t40p6tw1MOJwc5iUeK65LuXfVhSx2alrJBrkNpulr+2TeWrWz7W7+U4zLet/EXeZr72UEO13mxNw9Myr4KzKs9lFY/V7HXnzwEhyvOtYl26ONW5OdQ0YA80wNIB7mr/OBUWiPxxMgQ0H/imj0d/70kfrISip1wT/CTVs1qWoqs2CrBNBl/an1RaVQbRyP6DVjh2PCOBlgM1vx/jEzxc8cJ/KgMCfzHWOOt8tNermFTJZ+L3ZygbF7Vt13WuyqDVrUCdu1ygaW73WioMG/73+vc8FV+451aNXX7ccy+94hNxZx+bxPXVmyPyufzOCrtHSKE6dc4CZ+lY5ZD8uwHAD8Mp4Qb5mxztXzcRce0Q28Df+skPnmszp9KDN1rpWz7xf+dfYG+uolHhWl1VWOl94t69Llyuva61wala4pWE3EL28hofon10PyPQkez2/PHXntLqU00bfXVBOth24LZtEzgrgXvk0Bztnsm+TJ+ubB2A2OKrv0k1bqp/QWQDS+cUz5tO197nP8t26XkGXa+DTOnq7t2emr//N8tjIyr0829Vc42NzYQx4VsC43zmr/m+WekEikH7HbHw2XeQTXZ145wNdW4VjngVTBfyNXR8r+3izyRMyZ4d+fE7X2oRMiS9+7lKmBtd0kTFW3yrZBSjxKwRQ1Vv0Un0IfVdFh161B63iq42nL27WEAjYpST2eJm99yQM59MdsuYF6Vo11X67dpd31NcoaCVZtGB6VW/zbVt6W58VMCmwGkjeZxUDBOk9tnufZZEri1e/0HXVefU59cHafAGhYLc+x1NrMNZYxP2cT9fxnQWKnl/MJ5b8wdc3CypucG8y9Aei+6/sV5cXQLoxF/3mPq7RnZmvH1PQxX1Kh85Dffj2S/Dv9/Le+xLUErq1BqlPguuYJ6KVeFozhVdxFVkUBBYNqBN82w3kGuAW2e6zwTpJJraKk+BjfEp0reXVWhWyPr8Q/13hkDWwc3HXA9nBrwvq74S3TAFjG3OzQh2/AEHWwPiMi1KjNHb8gtIhxPssaFUWdB1L9fzWouz3oaM73/V3bY4JB5eTWEfoZg7KdwIpQQsFhO5FkIyvzoOy0/LOjrFonuK5aKm57DzU+Ok3XmVgns6pA3FBmL0YXjsnC/AKQFzer5Fh/NDUedb47hhZgvKI8xtsXAWDX6CPzpHh2LHNrvq9clCevrrlHsPBtFMe54jj3j4Ktihljq0xdROdBkmX/pW39qVzeXVdg5IeI2MjKDAWhqIAz/+bvb/p/XZL6zr/XWC3xu6k48REIlAUBVUFCIJgAI1hgAPjwJlD4xMwGn0ADhzoE/EBGCMTIpKoBAS5KQqwCgqhEDQd46zTabCbfz6/XK8r7zr+5++qvdu9STrZK/nme3ferHWs4+Zz3Kx1fl2yizdI4Rr93D5eY8DxaEPn8nId6/0+nkOvRuX3m1LaHWu3cn0CRPCqdfKds1YXtLKiY7/OiewOZ6qlh22c7idQzYZV/yqj6/H6qVSNXKtcsHPqPtNfdD2a9fmIa5YRcKqaYa7t61z4TH/hXc3vDaCUT2zGOP1tDuaQVMYusOirfM0hXL9VlwjW1CG/vNps+pUpnzlZdWZqr+hJtq12+lb7XH7oGj/Zmd3n53/+518+70kGHDy6lV3wfPgrRx1nS3k9OorsqizDjx6ds/7+0A/90Nvse7Oarl3HXuB762kFmK15ZQd2rQVKZFC7f0QD8t3LYsez8Z4LX7sKf6nKUo3BqfVYn2uDGtDonNM7jqHTyYOxmAuVI63qwGswKRmAS2wWhvf0ZdfaOmDVCjb05NSu3ZJ+TlZxw9ro4Hmu5ARuaiC3/WQnzItMV+1zdXixx9WR+/32iU7mNI0m68synXMsN15BO3NMr5O34vTytz7Rd/rW6r9inFbTLEs7p9Y+L9XFF5fumrv++jzZUxVimVr9B85ey78r//UP6IBirlafrnEui4HJNDx3gzd0VfUw2WVnisGqP1R6sI91tFvKXhxW57zLcfDC78euuH/9KfQ1b8WhxYxkrTaH/rUunVOLhwWgrh1y/xuQNdYGGuAIred/6E4tUKojlEBvWGXT6NZ1YO+AnwDbGmEhdI3+FghrVax1hgAZhqXOySbKYx72eczUqFQjazUMBR4zDBi6ABt9bpTi9hWDe/SGtt+6W9o9t47axqW/FLxIHfCBnpzaG02p0djxU0TKpVZ65PmUdokEyET5dk8be+xaA8WyBHvfDoq7voy0rf3r0LQE9GaLC/7qtFRBlU/0rdGmrlexXrabJllv2Q2SzF1BN/o3gofGeINCa1YFjzQjhGfMDf4BIoG2ygYjT9k9gdO1ZiAoO7y99SsLpgyErRyLcej1RX69ys+NsFqXs3NkthgCRrxR3LZGbVumhR/NJQBYuZddK/i/kcEbpTUn5AjtGYcbULk6rwr46iRGgNLvZlmCL3vv4x5E/Qvket87rr6q61qJ0uCEfnUTujoc1WXAl+dg4tGWtNZZtS69QRO6pKWCgjuCIDaduQ53K0gYz16jS0jQr+DlOkh0whPAqN24gcc6/e0nObdxD4BHX9VRb8CTbkHvOngNFle3+/06BX1ESueyc6v/HNCV6woEbl673sm9zW0rotx/NFv/xxf7X+UNB5CeaUCsfIomlXlzx5bUOSBTApmlLTliQwRLlAz3PtU7aLZzt871x3/8x1/6vrJI/GE5DWC6a22cLRPU5zr0Hsu3Zvd+Y5Tp2cvu8B4LZI2z7J4xAofmiGO/dZHbaX7X8mi4Ojwy6t0VuiWa+00wufNPhgD6fefAuj4dPdsI7HejuTa0sIM/2erGZPiLDpRdNn57W8xGFe/VAWPb8YSNwtiuHTNeVZkwentagvWDMlcNFjeDajzkQCCgDmnpSMcpvW3V3F51Vjm21RHNmFYHeYdJrj3l1NJxo902jNr61PVnj9NR1kqPcH7giwYPisnxZWXd0innNcnh0VS7/l/7a3/tq55pXGetdrSOmI3s9tt01+Sry1nKVx6vpkT2yX47jw6vs9fdsbuZ346fnlg/PFf9Bm/wLp51rwaDb8Dv6qYG0lxPcotcFq9Xb6peUQb8dVneWJvWKoAGb+k4O9x3P5tWs/nfmM3hrqHyQQDMvVXHVWea6+L+OrLGYC5v4OZDd2ovo1xwVYcC0xZUus7NbNRZdIyJKxBtxL2OYwnX/lYRNoJyIyBjJkakW16XQa+hbiT9govLuHdCy3S+UwjdxIlTxnjWyGk3utJ5EFggxASmO+xWCFqiyUhYs7NSkDmzy/Apeariu+Bs925UeQ7ujMuuY82y41oCdR2020f8VMVUp3ONMWOsblWBuZsi9NiA0lyWpRmQzmUVzC3vcB9ObfvWMTYzC8BSMI4pYOs9rtKqbFUu7nE1KsY55TmQtWNs/NT1uow0h+QaBrLQqB9AgZ5k+QYFrn4pjW/GiVFHr2bU7tirf3qN6pzySp3ZZpYLRK7jWL1y9WDH2vI5AR+0a1CmBq2VFC0H7jx7b7av/HQzlFcvXf145bcAonxubq7TTG+Yj/JhQRr+Lh0uv9boXr1Xndkx0gtXj1z5LR1Lhzt37+JJNgP/3XOr60vzjdka2vJVdUbH1vHdsvgLlMrP1R/WPtMtrcJpv81DKyzwYcGzLNDsVAMwpfdtlYfSskGE0qzn0ZMXYNPR1cctX2yTlaiTsJfntve5l2yScds0pXze+axskEXOfkFo94zYM9bn1Jaunf+Wfq61vHmBWPtULBC5tZKV9869QBA7WJ57wl4N5HQ+ZJgFGDix8El3dr4yL6hXm1c90kBPM9MNWAn6woUteefkCdpxPvtIlMr5zmfL7ID9ZC9ugAv9retlS+G1Bq5r/12j4y5ONnfXrlaf3fkhx9WdmuPM/fjsp3/6p98umdCXymzPQYvqB/OzdwEYDkyD2Wiy4/ZIHJvAegJGKxIu3r/YZn23e/P2X/HM2ide7jjIbvmJ/HY+rz1jnzzRxONH8XrLrdtqqzq/tcdPQb7KvfGWr3scv8W47rw/2YuvP3Jdu3kxiyCtIIJjLgaHwS7WIsMCKe6rAqq4u3q9znF1QK//R+7UGmyJpdM16tfglZkbgS0ganTvMmkF4MmIts9tJqTrzwiC42VZanBMaJs+1jks82hXgPtbaUcYRb5cc31txONGVxuRNz7XbMRN6UC3Ui+DM1YUqzUFO4ejswit6HAdlUY6e785wXsQ+EDVIm8zwlOuU1QcNmAfUxcgtBznBhiaxSuILRgW1UfnXm+fN97Re7vRlUcApvLfbU+8bOz4tP2tPOhbDZ/vNVx3840Ke6/7Lp6/4OhGL/vAchsSiOzrl9KTruct+GHIzB2a1OBcgH8V+6XhlZEeTy5qmMvTlQ2fr4NSnXKdWn3pOdcR6X28dz7qlALbyuwY0Av0mqkvCLvZgF635T4Nxj2N9dL8Ar4GIho0MraO+ckBoTsuiLhGe63lVBcM3sBj+1yeu3ao+rffm+kun9XYPoGNS/cbQHw67wKGNkD0KeBQ59H4O5/X9hmXz3dsaE7fAi9eze4VzPvPBmz4ay/7Q3i8XZ2PbuhXWjx9r4NaHn2ao9q06lw2Cr3WVHXZ+EezUVKzmrvmgnm71vT/nEU0ZSvXZLN2vOBU9acX/WETnupwFRvWUK/aacHhlrgahznAJ/1915sj5pFss6cCWtUT9HPns3LVx6Movd05xQsd284ZjXZclx4pE25AXZPxGy3Y9evU4nn0fFouZb5rZ1qh1MBxs8ANlJtXutXeGzZAvM5H7XN1n6UKMBrnR//wLb1d2/fk3FTX0J1Pjmy/Nzh4ad5z0Hx8tiZzOicTTxVzNyu2/+ocygI2y1c+Kr5w/BzRyeGwhQrIy6OXbtUJ+294c+eMzyc7cEhtJB2JRrcCq3xUh69Bp5472dpmdB7/1fXJT8t40KVziifx3MWolXffm4Env23Nsppfc/EUaP+6s+dQcVLHfJ1aCa/qOddsFr+6m47UD3xoKaE5uMshBPCrw8mO+xazf2ROLcXTSPxrafIKaYWz16MQC26qYGtQGwmqwtNMRqPAJr2ZJefpg/IgUUDRPlGoArEKkr66ToF0aWLcLQ+8jZLwIGjn73XXfXZOOG5oVKDWKJIxi6RUGEVaCa2I1RThdsjdFvg/+qM/+lL6NCVZYMAxo7gbXZ0C3Utkb1HlnbOHg//Vv/pX367P6JqaXVfkpxuB4Ak80JLA62RVwBltvNGs7c4b4Fn2WEPPPtvTnNcglVcbpWUM7zwT1ntuDctaN9AhZ+aw81vF/WQo28gEesrEdk2JNd3LXNgQzKvRY/Tzm4BKS1/wgvYUUX5qT2O4xqCGo45YaeLzVczmoQYRAKrRuI5DgdjTPRgaQPs68eRi77JCzYoUvOC5BmKMof0RKd/8eF5mo9jmCT8BG0+t1y/g0I/rWJbu3XCo/a0N2Huf3W3+KkvXgFZOAAr2R7VJdbPzytOixbfcqjbFOK6x1ndAqhvr1Om8fUWjzqWmpGxz9rSm+/JlQdkNoq41kIfuBR4LRq4EUrWP8lrPTa1tMpfT16PtznU/x97nTluuMLC8ShzA7PLIlekGWYzhCbxUjkrf6szei2NzS2Hp3fvomk9/+tMv9u1f/It/8d7nPve5t84sHmIj61R0F9bKUzPwzqUfR78Fd3/hF37hZcdiz3pfIxceVcgeqyKSCQd8N4bPfvazL48E2mPy5mzaybtOQ52oPtZOvzROYuUIBvB4w4172b4tV1n/lSN6KVNu06ctXdoji1r9VOcI/tuxdrQttvO9GOC1RIjMkKcL+H+/z8ny+EXZQ491aeaV/RfobIKFvO5cuncO0P73LOGnwM6tRmlZ/1ozun1duy5IomLqPo+Zw9sKoNF8j9KZrH7+859/74d/+IffOv/wFF4mj/QHrFD7qOy3wZPq/dF+PLndhVfuvLm/G512CYn1nbuXZYY+b13t3ofPdj3nwEIwVh3b0p2sshvXvtRRrS+w/m9ex+v1O+ogV+6VzaP/XYbmWfFK3dGu/KHvTwGSyiW8gS9rw77uyPDFl77XmcbTgoF4nk56LcCLh8rX5efKLn1Zvd8+4a0m3Go7rh390J3am/pHIB1odKy/3ejAFV7HIt5TFKcOpONL6EZ/7vFPkb/em9Fqv66D6rgKs9/uuLQbISkoqBFkGGqQOYzuX4e813TsWg1GAdgFBddZ0Kfe68tf/vILY65Ma1GzRZgXyaohMWdPWYM1m6XMWV/UzjMiZ+wmGB63oO/XWabIGO3rNOg7wyN6WWekGZCCb8+cuzxUwO288nmP7W9PoPz+fwMgl2cbrTOGvRiTtQLHymZl4o79lumKsFcWBD0AKwq7Tl6zeAXlXTdbnuw6tOsQauWZ8lId9itfl7aVgUvvJ+f3BgdKszu/lbsG6O79gcGuQauekKW9EderwDvWG+zreATe0L1Zjs5XHaUn+l+HEi++yympzn6ieelV/XJtRMfUMdYOkGtZL48PAu666UXPKWhBl+oXfbrjvjr+BgY7dt+frneDW/uv69gubbxuRuTq8Gs/Ow/oNBotw+G80Wi61i7qzcp1/WHvf6P/ewHKaKik1jNB/ee8K5PG2iz05Y/LI0/8sUb/rLVK6IKgp+DHfptdmw3Ys1+tdZ2NKz3r0HauC8KAbPPaQM+On0O75zpvDvZcWhtJcUDqTJTfq0dlCTeH6+fuN7A/R3nr/vbbE69otYedhycdx1YI4rPZcwYH9B2rust62Da7pY8H51DunNl/gTe6ao0u7EufagOLC2srzRNnwrntg70i7BWgKokDuNf4GK2A/9pY97b+dPfaZ7vVClA4tnjjOrbGXlv2ZB9re2+Z6H0es2BDs4Pr20qQR4PxoM3SOJD66Z7oKslQu3F185WF9W8O4QIuNtuU1KBnqnvxj2DGDcbsv/HVAmY2cWqWvHieDF1bWuxWXew3pe2W23l05fr0vd/7vS/H4p2LI/SjVYu32qo6pPLl/foGT0H08tHFNJWlPxZ5wMM+Fyejz+W9fb5Lx5zfdp3n4lHfXbNO8g0KXDt8bc2T7fjQnVrCeMH0k4G936/jV8DlWn13/BPYdM213v8J+F5Q2//rZDa7W3DzZCD0/QpV+2As15iWcTuJFmi3NAijtt/uf8GMhtELjHqv9rcGwbnKnhqFnPKcMRDhfwJVpY3fRL2tdZH93LVnkDnKjV517mQrqzCakeqxxnnLtgqCroNlXdgNXlyHpTxUBXXpX17tfcsPl9/QvM6SY3telcOd+46/81mwXUeZsymLXTlgGBt1bMS6ZV8Feo2iVhnKDFy6tT3Ja2lepXx5rjriyml1yp2LJ/6tob7HVL7vOHqNArPLO7eE6/a1wYX2rXzVz5dfLqjVX99fqxLpOKpD771vX51TWXxyqHutr+W04JsLtARcut6QU2vNaHnFqxU/jZ7rY/tQsFz9WNpe3nsXXzeosyYoVx1f2et7g8dPBv/KA9qS6d1jFRfuAYB31/o7J2vdWRifArXAMp0uw+UxO0B3x9Rx9fsdT/tzfy/N+xtdpG+vzUXlsb95ZNXs0IKsNvh5CtRfENoAv+/d6IYtH2/OmfDIjjmfsph4rbq0/H8dCI7t+jsnSr897qf6oXzbeX4KEnReGqgURNoY7L+wF56Wue4mWprg3hwT54/WddavTb9OLVtCr+if+e+cFq/1/92vGyh5FKGNgVSF7fhdW8URjHFpxT5yJpRs9vm0xa7l2Y756ryLRyvTeEp/zctdx4xHb/B+GGv8snOGu2wM9ITd3fuWgevPxZTusWb/lAUH5ojKXu/4rlMvBlKx0jlG5/HO+Hp8PixqJ2TO8Wt6sK2BxdqH8peg0fq64M3m0fr1HUuun+w2e16ntAEb53Ps6wDegPXF6rU/dzxPTzf5xNFNVx+41uXp6s3aZgF413sKjFUOOdI30NvECnq91p9rjy5vfqhObcHwdZoIkx36rnNZYu1YRr0GyMCqYCpINwNxswgl7hU+rc6bvhDKlhx3Ym/mr61CdLM3BZQVPv/dEu4JrXIxzUPRe70LGEqHKqm7Fq+M05LcXseaqRkhD7nf/a3jaYT/Gtt93vlKLGyYsf/sJmydwp/7c3/uJXpNoawMDK12XoGR8qtG26pkLwCsY4AfGKtuWrF+Lqq437sG6zUgewFtWx3GJ0NWHu9cvtbKUzZjuGVwBUVrjOpan4t8gbdxia6aPzyAlmTaRil7mYs6Xh1710JwxEVwAdAnGrrmjeLdEswLiLzXWXmi+wVAmt/u8dexQ5tmAC8IL/8BqkrbzB25KJ16fcfUMFz+Rovqw8pC/3+XMejxrlGHqTr2zktpWp3MgHcue26vXx6qYWtQbq276A/kbAMSvO65ndMznrl8xyNr1nXT5R2Zzftcz+vw9tqd5+sU9HUzWOtjHx93AcK9zqV3AV+z/A0aTZftsSXT3XXUN05AsyWXBc2yIR5XhHc9k7b23YYqu/8c2oFZc+rxG092uPzQzMIF+N5rs9cqg30km41ddvx1sPYbm+c78D+a/MiP/MhLpvYrX/nKC38B0/ZV6FKH7lJc+pJfc7f+DCAvQ7b+zJldOeUeH1Q7iq9kzmSjNn/WMjbLt3PmpOzY8ZOx/+qv/urLPfoYuru+k05pWeAF5t1MbDZ75dnjpx/8wR9866CaD8cD2Zfms+M/8AM/8N4Xv/jF9373d3/35ZyVTrM37VOfGqHP+nYBdx2qzmfXA+4/9ONU2b2bPepzbIv7LubrPHPE9LlrqbdL75ZYcTav813Hp/boYtliU78LRlkO0azlvU4xwtrOnYO2UuB/9a/+1cvzkbcrMn3doDE73mWG1cv0Gf0mOLDvv/zLv/zy23TMrj8+3e8SGsX3d/7bdw6tIMjuOZ0/PbMyZJuj4bE6k3gdn5tbWNJ9zKH+yID/u3/3715kf9ltm4K53u5/+Zw/xBY2c1rcte+3KhBurr3AM+WJBhdUKQmk1Gn/uje6r0sj8F9tlqeRNIi11+aRfJOV2YLx2d4b8Gpw6WLZ2jSyyMfyuXr/JkoboHjCbR/6I31EtjB+F6vXqTOhrwH71wDVdYSf+lHmvNmKRgUaBS0D+Z1RIXjtn1agc6MKBT5rNwp0aXLH2sgR4FVFNQfXmDqOMjEgz3GrIaNElUMUsGEezE5Zz7DPGO/eW0OD+aegRFrunNcJI4AUyc6Zshh4YKj238qYdtyM/hTKgFDXmpR++i5C6rqURx3tloroUx0x47FewDqry2MF2YTrSXgvzz/N+9P7Exi+xq1lLDeKbet0D+ymNBtoWrOWTqSUXN55arDqyiVgd8tMSoMbpcOT16F9cjopYsC6wBfIuM5tncrO07scuR5/H6dTR+oGAozT9d+l15rFdk5Ls/WVs9WNzC6Yr7En093QinFjDJ/4slHwG2W+fX8KBjzxdkFlne97/fJRdWXHRya7X8I19HjZjq6T3b3swDre9izvggx9xUNAXG2EObprfK/9Kv3o3I790q8ZTG1lmJtvz/8tbTvPfa9tK4ioPRPE2jU4tLu3LNLeBxCnYxvgAy449/u+/nJiOSt4DN8KBDTgOjC04xYoFDQk92hXWbiBpvIPfVe5rnNurdycLmvyRlslpbd5RA/90rVbu89A+EoNrZPcWFaSDEzbaIpNrXNljAC/6+O1te/7vu972YtijkWDvnYUJs/KWDd/NljadTamjWF2mS3eb0qB50xtXfOWC3me7AAph7+OCWcP71RWGsBYX+aIbnzbb2EbRN7ntZLF/lbdsetvvNvtecctYDDHZ7y4kundD+/eyjK8f5cCAcX6Xh092gH51s+OX0d7j+FRbbaX0unKE52EB+vwo1F5wMZLu/7mk03ePNwgrnPQ/GLHG9jsDvH6RO+Plherwj+jtTEZ34Jp2xPFDuz/5t/8m7f7ZQhktDUDeB9LVEw1nDheXUJmQZXxyvTbXn16A9nu5qCeLbtrrM/W5JcHdg3L1nbc7rOxC0psDssrzmuVScfg2jac2pzt3rvu5m2vyeno1WfH0puX192DL8GOCURdh5cu3W/8JzzgOvvPGuf6O+Z+fTWu8dlNNP1h8Cp5EZAkS8U75rLBsJ07ObWZ6pJcno3NjhT71U7CIzewXYzULPXGpL/sQ4M/T/rlQy0/pkyeUvFPoPUJvD+BuNcAf7+7d6MQWo1/79OoVYXl9utpi/keV2e1wv2u8ZYeVUB3TFXiVdKeLzjj3eif9wuonoBxGfwaiToBYyY7AW98Y1zrRUY3Uesn0FWwVSfDWETVRTZldPGRnRU9SP46d0+lSHWqKBD3f3I6zC9AbDe9C67W6kB1PJd/Lr3v+9PrNbm4Ga3yWZ0Tx1OIjBZlQqkWlO+9mZmnMjolZDcrVwek4LtjrJw1Ku0elZOnuWnlx90crM6JVp4r8G2/7zmlM1BfwP7aPHac5aOOozxBxp6y0gIRa6Lu6OY6T6/2vdHgW41x+8LBfuKxXvvqgtd4+Ym+V7+9poeuU3tfHV/v3bHe0rdG0Z9KpV6bR31oNqt694k2T/xkXNcZ1wf8pe33AZIBv+vU3/kuWHh6dV7XgEQbPNGTniM6G8K2ySA3O1e5mB0wF/R1N2apTbEHBLu8l7Ln2Qw8Xr395LBf3ur81dnA07Mls1EcD2uGgc+28lczN9WtHu0jUILvRouOv3ICvHJUZHIKbHe9OXBzROdQ0d1Kk7sRFFqj4+XtHTtgz9GZDR0v7Zzde6XI5lcCwtyU/4FIc9LgTgNUO06llnXAV17Q+imjglYei7J+2LBpjsmui/6vBY2LOSrL+POuVRVM2rzhP/yyxnGyjra7x/f+F9td+aRHlISvLzJagLnlVo7ttYv1ep/alcrbrlsHy1guvcmsa12HZVlO2Td6tc6bJtDreuwzh2zHknXBngUP5oDOGbp7S8ii27Bp53Am+8xZ91BqvN82jwsecPTHQwK6lqPsPt2gqfaEPr7zV/tvLu050F3Pq7euDaAnSu9r+zuP5r+2Ci90d/UGngSZBL0kvvpIMTporRhP/+HFrmtmJ2pTBAz5QuZxQTPYTMAS3Rv0KcaoU9t5uFVktX9r17f8yJzadsBEXqOLoBcgXGBRL/8CprYaP8DBxDbbSjlfEFaH9kbpW06G4UVFX9vhWSSoBvoq8wLEq6Rv3y54HQNN0WuLzP7iL/7ie3/5L//lt+Chxr4Kn4LHMI0AdV3udYRFjGZoVoI1+s4Ir2zoV37lV16Otd7gKfLYaHyDAb0v2u4aU2RTSHZ43Ji3i+PuP4WyexPuC/YJsEawGCzGqrxFierrlPAM6hTjd3zHd7z0u4/0ocSryPHI03x2Tvu9Bqufb7tKsuOtsgTWKKgqvRkRgA1gpVyB/ynC/S5D2GeLKRXv5lGu3exl+QfvVP7r1Ha8dSLK/xpD5jf3b9T2rh0pL97gQ697nULGdPzWqLZ1VteJvg5bHfx7f2Pt81jrgHhUEgNTg3yjqBfYXKeyDl77QQ7pxzosN8tScFqQf53cp/l0rQs425fyRKP7T3q/4AkPrCkL3FjQj3Hu2lR6m8OAxwEINGvgq4HOS1/9b/S/7fKA6ze7wdHUpvOWhattUjapD9d23IBRZc3xk+vptNkL2a/1Yfda9mRZk2Uf0EaJMTCKTzhxA5rGX7lSCSL4Zc0cuZnDtdei+rvP9Puc6adyTvoJ7cpP1TvlOWPe++5pp2YBqm4K1tb1fIKal6/3sjbV89X3mqM4uiplHX0KMPHWvgtg7H6W3mz8n/rUp97OyY5x7dHKHADRZHh800e3rH+7hyz8+rprz0khW1vS4x4CCzCTSoa10YrDx37igTn3c0I3t6PFvnueax0Dc9F1pG2O45zvfis93jkL1P/8z//8S0mz9d3NzNemPM0n/Fncho7jBRm93XN0Qku271Y9VQfDCzdw2XvBfhyE0coGaauU2P1H/2W3+4xTNGk1Qcfb+8nKVcfuPuZin28pbLFw9Zj/dp4nUOz6w0BzVtbfVegJ4JBTdK4NLR4iA9Mt3/3d3/1S7WCjyVYA2CWdDRJ4mD73uMjK/f7jRJFJfDldNloOm07n7TjzWieaHu489333plN2bfpkn6svBJqq5y8vtjqoSyrc//bDMfiytsg1lAh7rb/7bfIvydTlEU3cfeLNXDfD3gBwkwj6wqH1DOw1fDsnf/cdvwgWdUnGtUdNAFXnc87phNK3O2LjwQYsP/JM7Y2oX8PzBJTqbFWZlEmuE6kRDgZBeU/vSykreWBsy2T6VII3mkBBMfAFTe7T8TTaVsF/ctTrEBRk+cxx7D2nwCb0e6TOSoFnxNa/Xr818XUCLiApgPAZ8PnSl770IjQDXXu0wfoxJTcDcef5gtbrmMsG7jUF0ccSMAK7l93mJjAb2xzLKagBCIZ0Uein8iMvoLU7IpsbgunZuxPGKcIZm11zSnitYzQuQEkkULCAkLVPrzm0Bc9PzmzbdVD0X9mc+WoUvpmV0XU09TxKEbW9KPydOxpwukZbsrrr2PEPH16ZWaujVgV6AQBZeRr3U0Tfo4Mu/QAVAKJOQ4NV+LClPujDwCktVMZk7frGOl6r/F7DVVlT/lgl3nPQl/7pOsRm08w1JS+z0keONKJ7eaVOoDFqDFh17M0adlxXX/uvhvzqaq3BxOpTdLhlUE+6sZHoBlT0g16Zg6HEkCOhfw389BELnGJ9oyvrNJZ+V7/h2YLFBjZ6bG2L4JI1SmvLYtRBWF8b2MC7AMOtGGrfyIxy1c6p8e9ey56453Sx4we+d5wMy8Cic2V7yYfMyUCNtYnT3Tt3+tWuvHT61nfu+Ol0GxpZe/dkL5/4qvNEZ5jbBvtG3/VvmdAG3i5/0YVksHNFtsvT7MpANb40//pDftHHGuT9vnHPrm3/CGsgZ3vGw1ty47EhwyucAg6EcRbk7no776d+6qfeljKv/HglpZu7zcNKewXq1m98QK/UcWg1ifWaOwfAtyswvsfTdHIDSHdtOXp2iZfjtlZxtmf6d/3wTNDqs5ZxtqFNjyMjgpWCBRuT/m0swxkCl+UJsga3cIz2silm7ZCGL2UH9z6HcccOx9ivAx2qC1udURsiYEfW2ZD1fdeeHO+zrPl19jkhAnzK4WujmzCYzAxPbj4s4RgNbZY0vLC5oV+qc+n3tfHMdvX2JAvOtmyq8uJWOuClW77erKPz1o/1Uen+5nE0np4iQ02uoOf62kdPsd/W7Hpe8fTTXus/Z1AlC32z6472d5fvG9Ssri4mbrUAJ3njND9Xb3UfAzSAYQQO4IM18vD12fMDf26M/IYbNPYZXWxCJvAggDPeMx/jB8sKe71ruxsEcz26oP5Pl4I1oE+nbq7/SJzaKpx67NdIveaQXHAMmPS8e08DL1C6jnTXCDxtTnPBWaNvGoBUx7cRtWZpy9SvGejet9mUnkMgCzxt6rF7Uf4DRhPA6+xh8Eb83OcCIpmqGYApBgv+rTHBeI2eE5Ia9AK93te9OOktx8L4jKLNqShq69D2+/rnMRE2Bbl8VYDp/jsPTTjRgJqgxfoGEN3yBg5lI3A36vQE+stT+tjfXnNuG9ki7C330yfrP+w06pl1+97+Pjk9ytNGI8BUuTdQtmPwfenZwNAtnbrjvbJufO9y7Dl27rN7AEHluUae77z7H7C8JVNKwyjl8QOgcZ2om4Ezd82uVb5a1XEzeD4zxubJpmkF1VcXCFJVVxRMVobaF/zCmJYPbntyMl9rd54r+0/XvLQoP2j63f4JCBXU44lGogu4W0XDgQdQ6rB0jjvvV2Zro3qe9/LitRNeshEa0LCxsGWqKgpqyns30i3qLmOo1BJoss4V6BRVB45Uqvzmb/7mV9FmuoDTV8fRxoEDFltjSe8AhWscQI4uPt9rsrZrFViS6ae18aVv5RevcEjNPYDENrxmg8231sqFzidbpX9oKMjmfmujp/vVYd8Y5yDO2RxNOPhzSud42pBqGcs5pTsGIN21zKnrjgarZvIauNz11pfZMxvq7DM5UEZJ3z/Rhl5iDzan1iULOAu64Nc63uj0FPC69rFBHDza0leOrQBkM4bFm9XvXbtXfVj9sv4NkHe3Y/2TmGg/m/Fq5q1OgjGzBy33nmO0vswxxA9k9ikJUv4rH+1Vh8x6T5nfJ10Ot7pn7Ybx1sZUh27emzwqXiN7DQw2qz/+s5wM73LE2FsO+3i0es48rvWZ6rPVaGjd7M61ezXnfsfQcdfe0F+teKCD8eF4wzp096dnu55+fUL7p1ZbADORkye5wE+1P+WNrs9XEbImO0t+ukzhv7+x97WLdz8SthFmcf9mTIuJ8XqDGQKDxQANKhhfsWjve4PxXfrWQI99BDxq6yPb/fg6eSbBdw5fJ7FMfIFCo903ElalVqVaxVLQ47ybkn8XUGkfjavKpyDxAtVm5J4cc7R5muQqGLRT3qTZNdimDUA7I1sHEw1L00ZM/D8ajlG2i9yM6q63KKASGiVsVeoVQs7zvceToIr2UlqUCiGRORNJsqU68GX92Whgc5UqrgL5lrTLxnKqZYB3fxF9jnM3DtGU/uC3Ohx3bi8fVSg7N6+d9yRXdw0bBbv5somXHaknC6J4ysz0txsM7LwB2fXHRhk2c3CeUlwGjQx1DbvfbwDjiReq9G7QpzTgVMuKPx1Xg1qn+2ZrOY0UpzkeL+0lU7XjlNm1LxfktP83gIa2zYz3/Dp9e81w2uRh91eSiK50CLlrpoNM1vhwHAA943bOmvl7Wi/95KQWYF2+9tsNaNSI1qG9zmyzogWUd71idWoBSdcfqs5opUudWrqomYrroNbGNHLtuJuNv/NaWb+6nQNWg2w+9w4w2ayFbm3QqNeVNSCnNr5xnL4KVOEhIH7ncU4X3JpztCawMhtgt0/lvGsDrtOnc8hmMwD7OU073r1VJ+x9MrVzxncbv01g7qNUOF1P9su8NDjFCWq2C8/axfY1p7b4oDzntzrR+OU6tQ1CNJO3z93R1yZE06/K5kfzVUT963/9r19s+XSQx9rhBQDUWkP32LjmDH/+859/uc5ec4rXn52/ttLJ7qo8+yCActfXNaMFjFqja548y9U5gCd72eor89B27QLdhccF0Ol9mTG2qqWTnAr9IBPd8KtBUDTAl6ORebLsRjZQZtb8o0X5rDI2GhUTWT4AJ0xePENbafUN1sj86nuxLKeFM47/OF3WCLcktk1VWYOE1SPVdeZeYAO23ssjJtGDPWmZ6qoF9v/4fO/4dvjEcgj2dmPwnOzyCLu1vlmDvO/TU9t5e/3Fh7Cg/QFsyLX/zWP3qbiVQuV1OMhjqrr+WuCMvm3Vyt1QC01rv8iFeXBOfRz9cd61zcN07Pto2MCT/nUn9ut7/cGb5F83GyMnTYA4X9ZcCToMXL1B77Fba8WofIPKDCeWzmig0nUbOKjtt/Hg3eX7Q83UAkvrnAhis4MFAVUINdgmd010wSQXDPnPPawBumvRKGjEbOuEVDkWkBfMEV4CctdnXmf8Ku6rZMoMFH8dWeNb606m2v6bsG2d6TK0Awp7sPXP/MzPvCiUrXvdf2stmTBWgGJMsdIxoH7Cobx3SkGJCWUr6r9+7rg5ggVvQHzpYkxVqmv4ZH3bvXaPjcNGTdYGyDpOUU0p7vgJ8I6fctsanP0nOig65951tDaWHePREkrkrBsFIgi5zO6azQlGq9FNKW6DCA1EFLhf4FwQ8S6+oGA4LHilZSCL7v/cz/3c23kcLfcopJWtbX44Nxs7cLLri5RuvdVP/MRPvIxjc7r77Pw5xgWypSc+0AfRSkbaPcj0zTSV5xvYuXIiO8TQAIhde1G9AAAyUJVxMkSJUsAzsNaleBTGrqXMr1nOgqg6zl3jBBQJOFDg3TG1DicHDS9MBvZ7y7JUJNxlE+WTOuyN5vpdBNZcKiFqNtkcFVjV8STn73Jmm4Xo98qB/+pk7LOsYR13PHKzAw1YkNkGx/ZdZslSh/0uyDOdMX6XHarjfqtd9KHBwivn+KX6zu8FC0qD69T2ETRd6+zeLadk7Fua1c1b6OldT6YE6C39yMT6MWdqga3tkjsnFWgG5DiTlimMZrKRu/7KXnf+gmsA+3QLuZDla4n1zhN027V2X+MU9Lwv2Rj0bymqDJadT1WpoNtT44DNcTdfDcZ0p1FjLY6hQ9gKO0STEY6IjI8S3p0/cL57rCR7+2NsV+X1Y6XJO26PVxlIF4yaXthzbVuxNZu/fnMe8ORouf/22eNOxgsytpWljrtYpdUx+00GfvNgZ33VU+iwPprTBqrangKewGz/G/95hBLdsHdVVI6rbFQHkWE6gG7YeOqwVC7hnL1vDsja09IGOl6V19aoC1QILLn3xkHu6TKv9QOtOT3VkQ3OCvr0ubSdmzV6/dIcdimmKP5UyVinCqbnRNWO9hFSgiV2xbXz8+65SsK18eD0ywIwDb6Obis9nw7p43Q4bfvMYZvM/ORP/uSLnoE59nlr3ffao7EWINpvnvss2F2shVfYWTTdfeAGDhX6qILZ3LLlxWMXu6AfOuNtQRHBMJ8b6DZ+55XX3FugQen5eFCwYJiwOOjrkoyz2Z9Sa/oUb5vfBoKV+ZJnfhb+ZFPZb8dxoNGU/Ll+g5FNBNBFDdo3M6yi7ma7P1SnthE5namjZvBdr1Hm8tmr9f2E/TqHlCFhq/FxjWZxqvisf5OZu85Is7POEU0smMWEN+rW8en/HefNaJZWpafSjLZNqIeqKwXyzLGd55l6DNaMDcZrGa+IpF0MG1kes1nXwLE0rimzKbCuOQQEKGuODeFGF1kSkVPHbRy75p0PQY9ds+VCsocb95pF/J5L6BwRRo6ysZRH9LMOzK4/5ajJ7k5xXIV3eaXzWjD8xPPllevQUorNtJU/ANqNaUp96543xoGh0bNjs0EIgAvkj7fGNxxFm5V0t2/3bXaombUGDrxXzusEapVX/9/IZDOqjBM+86rRJ7d0TYNEdWYBaZl/QGz3Ej0VkVwrn3g1+u/xIdY6F6iZJ06zjbkc2xJhYxbtxLs1nni7eqN6sNUEgIN5FOCiV0r/r9XKnw3YmN/L89fRbaCrOt11gYa9yGqrLJqFFUwxRrvF4kXBNc6TPnZd1HRkdcuVx45HPwXiGp2uAW8wkk26tnCyxfGpLKAXYNnKBP0y12jazP2a9Ux3fWtlUt/Igh1nBQynY2dbpkMWMG12C9/hM6B8umbAh6wuis753X87fjLSjNDus3P1ZTZN+VorZC5PlYe6mZCg9l0e1Pl74vNmaOnEVj3AD7IWrrfPnoM82faYveq9fd74R0slvHjd+Wuj9zZL2sZRKo/YuNHV4zPwh+cF7xqj4RzhBbEFN6rz0UHGnM5hT0qbAnDyh1+a4cP3sASgjafgt+qI0vsGgW/VRJf3eFzX+mL9X2WtGZ/aO+OCcaqvOas2I2rQmJ5hJ+jsu1SjOHXjt65cskCTEJmMDYxfhxyvNzv6hC8rD3WMG3itM9zmGjLflj7IuFVu2BLHrd9sZTeKM4cyz+PxybRqL/0SFLcB42g0fheg3XnDfWjrNd5FX7y8PizhwunGy+z4HGfBNLazNCl2Kc8b8z7bebtZR46W4CieobuedMu1ibUJ1WHX51iji6r36+jRM4KF8Nd0AXlYoJLt+fo3G+g12bDfhmXhfk5tZat6Dt3wGex+H+XaDRDJHfqTc7zfMukG56/Orl/knOr3j3RN7SV8I/0m7ka7ew0Tz2Bex895NfAUYK93FaPom0k2IRdc3ftcINdStoKte1yVUP/HuHVqO74nB7drlbQpCEpIWdCM4SK9E+oJtx1tCegYE5ivwHCIMV+F1Tx2vcv+myKaAHEOOyeNrHeeGtAwv+Znx9hlbo5keaQ8Q4gpA2VqMmJ7ifzoU9eU2Y2zkaFGwWq0dp3ufrz7UvR37cET/1wZucb9XbJUQ1UFd6sa9NdmF8uwKsvEHxp+ADYppwEFz+szJsGP0h+tGIkCR8qNkW3lQ/m6NLjOPF3RPpcOLanxH7rWqa0z4Tg07DPwvDgZooflj0bvWwpDboy7jgR+rtHctQFg90NfCt2195KNURHQa6FzdUWBMqXfgEidWrJSA1vj8BoP17g8HXPn+AYwngIaztNnG7rsf+O+jp1rqSIQLKgBL38qnbVOdL+L+stw4Fv8VVkunz7xLNo3CIVe7E6DXgIo16nVyLjgSgFTnVr6s7ZlvDF5lnlolN8x+oZ+o/cAIQA30Lgs1XS8jWL0sXpAFF4meMdbwsJhmC1SzYM2dH6z0+vPdH/ns+AKQAW+0euWSdIN1c3Xcbs8S94BKuDubtQGU7jO5tFSGE4dnWCM+zw7KZsyOqk8IY/7DZ3n1I4Osil7Hw2tI6QjVKftPru+JTqAuBJRQenus7DWTMy1N+VLVVldT4iX6BJBOvqHLLymTxrUKn/XZgjEmWO6yvrMliDrt8xWg63l01ZV7XfBb1Uz+J8DgMZ12JsZwlO7hrXRnYPK6fowXGMTrI67dra45cmZrcNOHunPVsFcmjfAv3FICKg+uwHl9Xe8PZ4jz+a6m28Kok2PClKR0QZi2dHda7rFRlR20N27x0kJTsr4mSPzMD3TjYgkaAQeyE73zalT2+xp+YXeEPSAJfUfnauX8M1r9vBiwt7r6v3q82YzazddF5ZGu5ZNo+P4USDh6948I7kVO2ShVRV3eVaxV/HEjrW2vmNrgKo+QYMIxtRKI3zsN+O82KQJiuKRP7Ldjym2CquOclivANb4X8Fu5ta1Suzea61lQI2oE7g6pB1LszL6WGZbIyxeNwLTSO1l3hvx3H9de3cBsTWOSmbXlK5Vue86Y9g5KNsyvmB+zRpJZVIFvI59mfw3yg9IWuP0ivYus7fzrBEhWKO50jFZ3xr8Zk6VV9qhd+/r+8YmQus6eGbNuq0CdyBRRuBm7jiFMn7loQZHCkA9AkDbPSl7wNS6SzyErwrCr1Iy76/JkHF0gwvrgvBsI5VKfRiIZuDMIZDF4feoH8ru27/929/S03oS80W2CtavvJvX8nSzR83wPMlC+/tkBJrxdA0OJWf4ZoKBF+ej4+ZthhoY6xpEG0RYKzdACdzasRVI9Lxm674buTQGmcFdQym/EiaOq4ir/iuHJx+CUnWcGWy882SE0K7ramV4tLsO6PLkE6jyWSuPv8vQXBDtBcCMJkrB6ZQGBTaOyaMg3Gg5WSSPt7QJYLQR3Gho3fx+X2alO1+Wf2QI/N51Ro6pE1CHlpwUKDWwoFyz4ObJ5l1QW4eacy6jhx9a+YKuZKByCPyNdqPp6GFjoWVnZRXnbAF1dcboim6qskzjgqoLFgCk1tGhv9J7Dnc3bpweKg0boLmZZvQwVva0towubyD5iTdb7kk3cEwmL90Nnl3Y+LZj/sr8dt5ot/HvM9m9G/iw8zKZm49V14wnd82VDI8WO3+6hqO447fOmQPdjVkmB4KV5g1NZDhHv5V3Tl/Ra81OciDJo6D37jfbAjcU7Luu5RvA//ohs4mv6wjqNz3foGedSvIhoNiASB3vOuOOa0aJLmzlVjGJjSJlJK0f3pxYb1s+bGlvcax7W1YgSERX24BNqWt5ETbZ+crVG5y9Onj3VzGy7yohyMkNTKyRUUEK2AKmFuij7+aAr1R4ssuJ5cT0uaTjOfJb/cVRX4MNhhnHg6OLqo1lE837+g27NWC/fu4pH5wluxJbnrYy+x1nPlWH2EOg+qHveJnONH/j5+Gfje06/N2zRxBWSfdtZKvB0ScHrXrdcQ36dpkV/lU23EC6Y6eLtvv5+G1zNd77f+Jv9FFSuwZZFbwrThLsbxUY/TP6CGji39pD9pMt6nKr6upi5osLnvDF7uHRa0/Y+kMvP242tJ1rJyvQN1Pa6NxNzVe4n6JxwLVsnJKJghwTMmGS9eNYKSPBiM2KMUgm6yrkRqZqOK9TC4C3ROkCmAt2ZBg5CWuYboJLWBpEAIR7385T1yjdDIw5ZCwJACGwLoejwJEyJsBFNNQYeh9lOuaOAZgymfIj7OaAcSnd9WltChtPAFwVGnQlQK7tWo3ArRlbDfLGTQH7/wpelYf2BE5v1vZGmGuY9BWNAVn0FC2rAWZoGQ+ZkJYbUTgtY9p3Gy0wZozVlev2vRFxgK20a1lVWxWlR25dp7cZVPO048xB5acBtAtsWn7sQeWUdo3FeJCy3v87bsbdmmUG23pF5ZeuATjg8zqUuw6nlpG0XryR726+wmjuZfdY8gvY1PFCo6eAjbk3J0+82CDidQQuwPJeXVbj3GN6HbJMXq3pB/jXlBEDD3tv9laGUUQagFwrUG8poCj26L31+DtXpv3q2OvU46nKenVaZf8GfvxvTp+yWYBLadsME8doTcatwLpz2WDADSTrDz294zg84+U5Wt0FlM2T3dG/lm57/IwML/nymD3ZjL07p/iAnTTOltzXiQDwylNsf+l89X958fI6YMhx4ZjuXdAMiN/36YGtExzQXjBwNFu/PCuZTpZ56QZ1A5kCxeyjclXP1VyfVCvgX+s0VWiN1rN5439zMkek4Fep7hob7VjODDrSkwIfAD59taA6e835qUzja4EUQVg8+ET3G8i5OLCZHNnUriXnWBdf9nPLiVslVtvfpwPAIcqpNx995uctjRd4x6sNJDaLtvEsACdw06oQuqR6vLLeILdEA9qx5Z4fCiM8BW/MsXvbidgzdC/9PddYoGt8IOhILmb72JLaHbzTnbV3X0EBc3gTCaP51oyTh9kE8+axkvushFvlgacj0CtdSod+DcjXNtEPrYacTVgfF2SSFJBBhnHW+BcCOk921HnV581ENth5+aJ4r/5Q9xagpxvs2//Tw3tk2N7n6/zvb9YgNwik/90PZPTEbyrT4KfibuunrVmu71W5dt7FY2vm3XjRj76AOetDkU927YO0D+TU6nBfZRifCwYIT5kL093M7pOA9toEtg6xrJS6fE2ZkrUmNhAwMYSd42c9lkhus7YXgPT7/e3Sqxmpp/H1Mwek12oZQDMHvS6GKPjAuGWmgosKP+dBKRzQXqOsDxi0QQ1GAh2qEHau6P/NAgDuF+SV2UXYagRKr7ub2nXcjd9vBUDXQGq2iq8Cxwudr87/dQLelX25coNuAEjBK0eUgbkyhHZ19pRuXWdm733cR3dSXBPVF83sea8FmdzbZ7zY4BTeK61L717X+Nxf5olD+uTUtmwGKKqTdANYHEzj55DuWi1f7i6nrtvNjRq1ZiQYEVmNfW4UuI65yPZ+53iUt9xH/8wbHeh+1QN+b0CtEdDbnpzX+3vbdQAdW1m4usp8CjIwVs7FH9YrLuI8MO8RX5wl2RaOPgBaGQdsAdJ9FtmfLbDRTmlSJ7a2qrR7snulWfUBO9VS5dKv5xd8t3SwclU6l9blgdpT4+tY1va70sHunF6Hmvy3FFQQoXsWyJAIEjQrpz+y8Bc3lLayR3jbXHZ91v6n50vH0hI9nngZ7eiPBgLIOGe3GGZ8aM8KgS3LetY6NjqHjp6j1HWh9AnHtcsXmtmmA6tXrJ9zLc6k+dKP8l9thGu1iga/0fU2xZFhNKbq2dpZJckCq73nk864c6xP5qJ2/Clb20Dr/XyQZmkuAAEAAElEQVSDOX1ZnuOJAHQ/XbtxTKfIVnXPBOWarsHG6DfA7X/jZ387/uJc2ayuYa8j0vl/ClxV310+b9BZRhe/0hHkaceNT+3LIVAhAEDu8YNrjE76rlIDTdAa1oMtHEMWbAAkkMtxI6vOsTyh/YdRu5lc8VSxxqVrbapNvWAEjmQxKTxLfmHMy9+X1xu4uPqvMtAgn34ZP33bKpfSho+zTGqDdn+Q/SfoCptx0bv4s3xcB1tfbMrapYDei1fqZ5QO1z5dO/YazuhGrh+0fSCnVvShi9a9rsJcK7DmTF4n4ypD517HyeApQGt19t8eIr+o6u5HoZggpRj6R5iBJxmgbb7AYbrlGiZCv3zvhDQaehVN+//k2Jrcu4bOuWjR8inHMXyN7qDZxt7SVtFk4Nx/GBxNCWTB2QSa8t9/LVlgkAgmZ4LDoQRUVH/Xvbs0l39EQo1Hf/ASI7LPjSDW6BK6lvzgWa1lEuXBAZjdazwFRMge1bnFu3UqK7yOKbB8AsZVFhSKc7omgtJHG8pq7zZiEaBo+ZlxN9u+e9hgjJIVBOkGCQB5FVGNRHn4ZlMvcC2QMc9PmdoGOK6SLXgmU82IXadWVoXB7S6Vop8ij4yCjJ6+itqraBAtrpK2QzR+lqH1n3uWV2QA9rlRbaCqBrgR2gL58hP6V1+Vr96Pgbj8+n6c4PJFzyd35sXaS+VlglUc2mXFVkr1b//tv33vr/yVv/JSSrmdLVWTWPvlns224gPBmslDwfb0/WgwZxnPNzL8NObOU53zym5l+oLyrtErn99sDZ5rMPEGBVy/9qAyih5dY09/NGgji8Qh7X4Ta3hVdqYZDH1jh2RRHN9SxD7/sRvTcILaSgdOSjNYV2+U78uLdYIbSHAPSwS6TMCSBA4AfTN+XIZ/8/e3/tbfevsInWEN5aPjM/ZsTZVGH8chSyv4su+TA/pmfKpcVbawGMK4FoyRwRSgEzzb/gq7NuCN/rWFLUlvCaNM49posQyavTs6T/QIebZPgUztlcXSHR+TOXNMJ3Xt53Vm6cPaHd/hOXzfxARHAJ8LYOz48SWHfNebXtm8bY7RQrChOw93F/naZfZ69xx2oItU++irjLYx9zEv5dH1qckN91LlhoYNAmkc8/VnmUhzvd+7L0l395Xx/Omf/ukX/bxzVpatMoGzS29KIJEnssgGt3IS/jYveIFedG16aQ4aOu/+HmM5uu73zbFlWHgOJkYLGVU6j44052RspbueJtLgs/6QF/rCJqxd1lOdXh9H0OJJJxczdpneddLpboHE6ro6haONCppPfvKTb4O/ox3enp5gd/WTTHdpDhnab5u7tdqn2vomupqtNydoX8yN34uTG1DW7EmC/z+Ic/uBnFrRqhrZfW+pGKPTkt7bKox7v+uc6via2A16zGyDEbuzcZpcd4SeMLuuXXt33Pq59wn0lPfKDijm9XvX36SOoI1e18gU1DUbVabFbAUwxtPXzRI2o9MGRDEMdy1pAWyz1c0WtCRTKZS+KYucYrOT7s6dEWfwd57Awe5jl2bGooGARp678QLH3GMdnLtr9tESe3EKOMldD2GtwLsyIIyNMd6SY/R44lObyninEJu9rUL9Wu0C/QIyhqz/l1cAYv97JBHlZE5tew7gUjLmAK94UHl3TK7Rlck1p5SSMdThRAeAE8+VL6usWhqGx0ojvFbwTtkqEXaN6gjz0zUi5Xu0qsMKtJPTvY8m1r1Zj1UDyRhfmaMnKuuyjK4rOMPYuYbM8Y4v8JVZ2P+WWZSnL883OFiebLAFv73Gn2s3KNmxtt2gXvVj6dBSP2s6G3Gnv+fQzmEYwJ8zseyBNZkNSM1Idz5lv6argJ7N4SLMotbdAX5ARtVOgYvIt7E0Mw7YNYOE7jXIN/gKND7RDjgVUOFAtsrBvFxa38xNsxf4pDYFr3MwgazKY+dvv8kykj3318/ymWu3/G6tj6a6Ou/yTfkQvwLRdIfyzzq2t99XFnptVVvA1vhNIIQewwPTp5PbYYKd94UvfOGFTwWplBGPp9lNzsZe1cd2bLV8oTrETsobk6zwrr/7otnObTaWrRQosh8EZ5GN3HENHsu4kacC2e3NsetN/lSwra/jYfSR/ds1rXOX5Vor8Man1dPurY9wV2mKZuS1cte5rAziDXPXjGw316kc2zNBvzlooyW7xw64nl2iRw/Ldopbey1OJwewmTmVP9YTm1t9rE4qj5enX9PNrtdy0OIs/cOT07N06Pjbpk47dzgarwgS0ulwkbWtbFb1ozGujRfnPCppl5iBI2Xltru3HZunw+3B0iVU69/6ytFmX+tYC2qbH8Fp/dx/cwbtKD77Ixs6bGqNOd7b9QSnbsCsc9A19eaSvhfUELSjW+ni6lm6u/2v3i0eM+ds4v/2JmizMWwON8/D7vY82Lkbd3muAdV+b0CsgSv3dD22ms1tpUT5uUsVyvfG3SCX+bt24iMpPy4QruBdA2Ui7oSYsE5eB3aPIZzWwI1QyhZ27UbT1tSPW7vVaDQG3bFdZyBS45oi083Wtm/9/PReoNhyg7Y6tZ3UC2Cq1Hpdyr20q7NMIJstsa4EaOPIKMfEuK4zwy3C2TnlvDDa3dlPuScHo48A4FBMmYm6GtstW+WM3oBCd0wsne7rBg98Z7TqbPZ6DOF4qk5W+fr26QYsGtx4Ou9dfFPAfIMgFHaFneHy8vvTtSlbzoI5c51mdoCZKnHH9P436ga8VCGXHs4pzQtWW7JS+eAwcex6L3xdsOAYBqRrKht5NA4Ab8aUMl8TlBFgaOChvLvGkN3qCfRBF3RE/85Hx+Q7XdS1VLcfpe91vEvnp3bn517/XXrv6v1eT8BB9L58xfkSaJPVkCVgNM1/A4d1woE2D40fjayvLdiyOU8rNOpA3jE1SPAuvXL1r3ELmLY1uwM4tPLk0vR+v/JwZbKBWK12DH9eMN75rtNNZvqfY+kR//nsmLuc5gIU1wHM7rqs4gJycnXP5e/LuxrZanBp79ZeKzsF5KwVnD6wydYA9gB0K5TgBuWQgms2TCx/Vs86rhlVO852jR3noBVrtUs7VqBn/+96dkJdf1oC3zJOwTVgWNUOJ8e1Za0qa3i7dr4BgeqaG2irHa7Ov3iyMnjxZY8vP+OTVt6QrcrekxyiCT1E5/vdfKGZTHYTMuaLbsPTnJzKgGObSS9WLm+7ts8XX7Z1c06yJfF0K/ZkLdlNmIj9nePINnW5iGweGehYyROZdg47gO8uBlci3cDYzhlftlLGS2BInwUY2M4GRi7+XxOggXvJGYyhhHu/C9w8Ybi2+i3d1I/ewW8Xk+Dh+hrVe0+Y8+JMv/+xPBoPLeBDNOEzmSd9qzN7K9HKc3WGyXT7VzmrHOP18vMTD7eCtLb5I3Fq1y7Qfk0ZEQydVrLh/3r9BZcdcD38/TZHaIBTqYhIzSIuLdlaBNZaidb1N8K7a004GZwxtMjjIhyiDqJK10F5DXQUfGs32+v4OleYEOjTrjDfLE0zCqV1y9Pq0LYktyU6jaqbpymORbA8G7IPD6c0KSulAvtPSRaDoPxYlnD03e7Hjmn5zu69YymUOp8VIsbdNRzXhg53rSLlXoXRDDd+mUKVne61ZbMKUhpw6Hw/ObU9pvyAfypPnfcGKTrfeFT2mSNaw22MFHZ3eKxzxYhxHstjdZgKPr0bU8EKndFr0BN1ls1pr+H/RrnrrOJvRhqYvOs1RUSVAPeZb+0fYDqnSkQY8AVK6hR2nM1+NfP2JJuN4NapFcAhV4CG8p6uLaZjL5CsobgAqDr6nlPevIG0GrIaITrrCXiiDeBv+QEjStdwMGR7ppe/93u/9yV6Pj0h+7XW5RnlbeDAjs/T+3TIGjshGFonofal9GuApfJYfazvnUvnWNPUxygU8OCvZkyro3yuUScT5uQGhp+AwrW1xlgZxm+VM9UwgkClQTPEN3rv/u1j3yvPHeeaoCc5v45+HdvLk732E48DrNanWjs6Z5XTRncKzNoAaJuvWHqz76vyWqvTuutzeJWdWx7VoBtn2UY8Nku05q0ltEA722bdn4DwXhvPsqbkcXM1HLPjVTvAGRwHtO6SDnho5f5f+tKX3gJfjxqjezgyEgbwRDGc1uAmPqtuxjPl6TqrF8z3O9lohQJQ382N7o695V/nO2bnyrALsNTpFhjj0MoG3+qKficTDaLRgWwXB+/qYrJbHVEZL07U7MLtsVD0ZzOZ7okG9C9b57fxFXvp+PVj9tHyM04quo4vlHyzT3tNzroT/M5VMcZeKtk2vp0zvK9fdVbHy+Z+PGgpRZcY7F4yyWx5cSnMKkMq8Ipmu+4+ywrfxFz1aXXQzulmmOhWHdW9a24y584vm9IAEd3/5I994o0cjLZ4i63qUkH0KlaBZfSpSZLijTrQtU+CAeVXcl6Me7O0+kTPNfH2WiD+Q3FqAWE7MtbQFaBfkNP/OvGdxBq/EoNSRGjP2hyzNypNmSg5tt18HQLlJEqyukkEwRozrhTHs1k72XcsbbccpCDGeXUECugxYMtdNZ+bHXU/xrR04wy6f7O2VUxdQ1iH1nzIqK5ZT9T1qx5VovRPCbhrKM/Z/Sguc8YQMBK7j7k0BkqqURuAXkMTwsT4o7WxV7BdZw2osdZXw0db3wGgNFCj7PZmeq5iucb4ZljqkBXUFgSJtK4PLZ/D165Xh9e6Gn0sP3UdY53aW85d0IsnzA8FW6XTyGyvgRaNkFae7vGcUPRpwAL/NTDRzAGlTTFzgqYPrO/zMPjKLKOsT+PT/aaskHOCFy6vCbBwBJ5K0xuoq+5rcKTO2l50GD0F3DQLXprf4MRTwK2tjqxWeams4ZOv1SonQI51PfsNeFaKST9uzeBouHtbo7nzB6xWQuXRZKOvIANANfC+5356bMT6uusrmZvjMMfE5iSCmPTTzVxeut5IdNeO40V8Czwotb4ycTM7Ban0xJNM0As91pxyLut0FxRU5xSAvCaDbCTdDBDijQZzKs/e7zUdd3Vi6Wvs1Sn0ogqqC3LI0w309jqazbHWVn1ER7BFBW+uvzncseO/8Y4M0ezd7JOKDufRD9Z/d1MymeCuN3QPzkcf27H+24TH3KOt3WLNyfqij83S7TFESraVgdJddvgXCBotPPcY8PXsds7GzvNYrdKYI33LMs0t/UYvNKD7FODwuUC+Nr58343OBCU9S9UxV9fCF+QRf3LqxyuWuHXpFIf5Bkar09lC39eP0Wf3W4LA+Mla+a1BZXN1KzAkARrkbNs97Zwt0zqb14oZNN7YN/dKVCUv8F514nh+/DzajGe7nG2/28hvrYmE9cGjlNhOASDPr965o+f6VN66mWDXXt/G60tmSbDsf1jWNcxv7bWg1X6bbFtWhrd3LX0RrJntsLRlc0OWSnN06n27rKyZ0SYS8DzZwKd00rUNxZHNiPr8+2cJiMcWwifmt2MoDkCfiy9ql67T7T80q1Nr7hwvWARvtq/0HFtfufggju0HcmrH/BXEJ8N4wf01vjfy2nMuGHtyKBkyC6o76RQbkDkl7WHljYq7D5Dgekqt7jPn9OES9oIFfa8CelLWPhd0YCCPrtA4Pp3YZgvuNdo3jN5+6UNL34yzY0FTOz82gsJx6rbtMwKErcLMWNTh5kRRrKI2+m3tj2MLWvStc97+FoBWCTgfKCN463cfoI7v9KmKve0a58vrdRT6X+dQoMGzN/2vn0pFgMlbNt51zDUCytquw+RaeMl60a55u84Vebn8VMBhzD2fcb8OfelVmpNDPLPjZaCfZM11KcJmNNpXm6/c7GmzUg1KUOyi8X4Tza/eutFTvKI8ujqsfGTs18kE0MiMa3tWNdm6EeMnvut42i5fokVlpvqpOvk6K/c6vd6tCCgoNCfGu2vPMeWwchStxQXIRgcb3JUvyOoyCIyhNVH7fUDVsz+Bq+4NYe4Kyjuv76IxWajuoR977RpokekGQkv7G/y6OqT8e+1qdd7Vj5XR8sOdv/IxOXINoFofqrcvD10beG3U7cvNWPj/qVqpWEDfO+7L95yAlp7bCIguLIicTqajLa+hh9fM8e4vsOwRXWxi57H9V9K73+sg4As6APDcOetP14eOj63F1wpyAdduaiNQAKDjQc+glflll+bI6Bfbw/kpdiKLN5BQvnWv8uITLqmduoC+GKzVDXi1S0vYkCfcBVRfx5rd9wxg1TP63tLj6q6OhX4WFNK3/W4n38o+/VEb5L/StvalMvJE75aZmxdBRvq13/H9Wh+/SA44WPh09++yMrh6jc22PtpYPTprfWpFRJMM61eXo9Gl+t9AjmPwqrlqcAXflmcaQFPFaYmBAI/54oSxX5Iql/aud/lBH+Ddjrm83esV69aeXF1abOe7Cps/eMNjdeBhuS6lKm3rUBfXPfkxxlW9XLmuTWlSDy1qd8v36Cgrv+/m/IO0D+zUzkl8chi0C2zfBfb9BgD7flsneK3RrIJhgFTmc8dZ3I9RC0ha9rqoa7OXmLCK74L0G23p+J4UdZ2rCz5M5IzcFtRrnMhe+zL+WhX8VbQF+aXZa/Xzrrv30cScL2JVp5ZioxwBxWa4ZYE5Fa7rHtepXVOKcrPfVR6+u88FNy3lvNHeChyntoKjNLAG5RpGyroArzxd3i1/MNgUi/WEXbe04yhR/aWA8KGIIRq4njno/F+nlmLBc3VqHYMGl4/6/Zb5PukBn/Wp83SdWgq/jmFp/2TMjauRvVZ7tLTsguUq4zv/7qeRE5HQJ6D0RIsL3q4D2X7ddTf6Zj0eMHYd16f22n/97Y7jOhmX/vf8jvHOBx5XcbDfAEKvBhlbIkgm7Y1wn3FbeSanm5fpKTpZtn3XnFO7zacsg+ijGWpQWwlzx3kdweu4VXY45DXkrbjB581ilSfKd+3fa3N5gUR5rK02qefdObzguYCa/njNrtd23OtenVQec98ef8FU+epe//LvDUQCqS0HN0cNwJiXbgrDUWjZNUdT8GnnLCsi0IvvYYgC7a47HE8W9LX/XcM/vrf5nGCsje04nnV6OQ+cEzv3yxZ3R+Edo7LAfZVnXsDt0Viu2UzMzdSWH2+1wwX/V59e0Htloee2qgB2KxgvbX1WnWO+3Y9zrLS4ma8uGxBQvmPxknknc7sm/SWY3HWgpdn6w2l+Co5WZp/sob5dvVYMaI7Hw+07Z1ST2RUQedpEsf0iY5aTwDEbuz4Juvu/NrWZ5zpOu7dNpYznzp8Mc23kDYByEP0mYzg5VLnWJIe9e9DxYlX8vVeD3tWd16ntfN6gfXGevjfjid8rD6XXH8/jl4rx9aOl2c22N9lTnn+yLcYPcxXf4SN9q34w7l67uNh8l/5XPj50p1bkbg9tv0D5ZsgAY0ZBBKfg1aAvaHoCn09GpcxTZpOl2muGppFngljHBvhtxIkCaKkfJixo6H9VoiavEcoacn1YGcVeW7vp88p9NYoQE6CRa9/oTR1xGQ7GsSVqXQtyHY5LH4p+RlTplJLPGbnxBbBoYy4RrvVfxNKGBRV2uwwrcSMo5q9lV3uJyu38fe7ahd2D4q1yeHIC9GGBGmv9NAbFw78pOo8poigun3PoS88LLoGn9b1lra8Fc6zxoLD0ff1VHm5u8SDl2iAQ4Fa5pbwEfwrKle8qBa3TTUFbN6NPjVRefgXgtUZo18wrHq0OQMNmWu98Vg5dZ81a+e5ejfd3bp3K8lkDPY7DwwUuDETvX/7isHXc5elrJAuMbH7nnjKd6InnnqL6tz05Oe3LpYH+m4vrbN1Gj9B3gjVAwfq+ig/lxx4dRubH59MjSsBEkv1vrHamN794jmyOJzfPdMjm+k//6T/9smSFwbTxB8BQw1mHrDamrZURd74FWDhEsu4yEOa2duUGOwsK2qeCvI4d6LtO4HWU3P/yZUFZgUadBr832HV1KX1Xp//y4FNQsqDF+OuE1J5xFsvnN1BEVi5/WlPd5Q0yUaOrnYitA++96XjZXWCwtGL/Zk+2gype1z+lqzuHfLimHY/3Au5nb+kXawubMVu/rR/f+R77o8/WstN1u9fkx3rLPlZomAP+AfBvUNlj/dirlhg+7QpbPe77k9Pi5ZpkCF/Bd3Ui9VXQ3XIpwTLHmR9BUrwGj94SyI6r2eBuRIpve33X6NK8vQQiyPF0nLmhH1oN1aYvzq1D8BrQ7/9KiMdHm9NdC/96XvgqZKwZdU94x6NzVAU4Zv1Wurvjt+xDYEHg0JptgcXJ1vhs3/E1PGIe8AC58uzc9cX5tQu1A5YfjT+H+Tlt9DSe8lg9Mie4b5NBcoKG5ICMP2Vqq3uKG+idyonz6zN1vl2HrLhmec1164N0nP/HG1qUFzamPs5RJYjgRJ3T8m99gru+tvzGlj4FWchw/aCr8znTduWuLnnCMx+aU+umey+4qjP3ZMx0vM7KVXidzBLqySkk3J3gGuRu2lKw2chCs0SNSrc84WaSvNeZbiuQcGwVcaMgGG2bTvzO7/zOy1b6Fuxbm7BG4AoU6tTaXKPjLC3bZ4CgoB14for+EP6u77Sxgr61JPka/11zSoQhdl+v7vzZReeXh3xnnAverbtqlAjvVKCMSykGfuhmLprdV91X6aJHYjAULdVwfkuC29aHbrQhEg5cFxw1srXrU0L4E7/bwEUEvmuzbHLSANJ97EfLgxiARvD8v2bdc8vO7uZGa1Xqr4F2rTRyP3xQZ6PBg4JyTUT9AiAy02fArg8cn0ZHy0PVAQ1QoLm+tyS8fS4YLOCpXmkAwVy3jKqRys2la3UdFT34pIuuI/akk5Ui9viu+brBxerJe93ygOs2EKSsTxDKdVV5DFQLMJU+gmNrnbf1Y+cKQAFc5k5wb8dtzuzq6pFYgn01xHUmy2Mdo3vggdoIckhnFqg/tdqBS9MnQ16eute5erNB4+rGp8BT5bT27bX7adcONohHzmtHb/Cm17m6vw683yoX1+kvTngKRNAv5P0GS3btAfKuOcUr1sMCgHS4DWqASY7njt+joxqsHf/ZZ8Ia8WuPu2Rk/ZzjYPwew8eZXoBox3AwAWb7LsiqCjLbMVmm1fKq3bvPX53zoEKie1jQoyon+kzhJg3aAOHii1ZK3aBF556dKi5rwMM9ObL3MYdP2dqLMVuCW15rYFE/9c/3Pu1hrVVvXnjbOGwktjm0mVfte6vt3IfNruxWZq5sdv8QLzjNdfD8rl38cbGpZMqavV4kDCw/22sJGVny7nWx8X7DN3zDyz3nzG+PEhnaBWAsW/viF7/44kBP5uy4Td5s0LZryPYavwBnl13hZUH7PlJNQIszK6vJQcd7nke/z2wE3pW0uHqQHroYvPOJrq3EYiNgFfKBbzj8dGudV59b0v7/pGT7Ymj6SEAHvSw9KIZ7wlK1U/r7pNdLg6vD/d6gFbtrjx72vtjsXQH1/yGntiWOBR7tdJXUVViXAG1lgDptBZh1Uq7SKAh+Kjdeu5ECBG0k5InZngBjjflrIET/OnnGinYT9kW67KhIGLUJOGG+mdkCokYOS9P2sUaoTm3ppF+uWeDOqVWijU639FO/jIPSAUQd16hR+3md2muQCiRdizN05+QpWMH4KhOsY7E24bepFSM/xcfpoBQ6H+51hbeNIiFDQBK6G0fXduEh4zBvQBBac9ZkUgCJBii6KcblJwCvGSj/df01RbPWzGrlpRHl22oQqqi6mUNlpkGMgo0qVYa7gObKfXkUfWXb17quXD86LnMDPOFf/aZ8y3uVKS9AynsNWI1R5dM844Xq1csn97fK0G1ASQEVUNdxVK+Xn56CmQWLXt2ooiV3ZGDAZksbZIgaXLi7tS/Y1L4VqHnWIZ1gzshzKzjMQYN/pWEDLk+6qKCj88zZ6ZrK15xa17u2pnPb+XwKXtx+Pc1VeYmzb54qI9fG3v+Mjz0or6BHA0G14x3HBXvXoa+zWnvczMbFFjeIe0HQzQxV75H5PrN+TiiQ6XFbxu1adYjRUiZq/LYXPpoTyqlViqoEuAEHjuRd+kT/9hFEDR5bMywgvn6qqqIfBVwa5Nu19WMvDgW545TvuFtuWpv8xOcXr5ib6ozLw8V3dVJbpVd56KNTrmy6X/mj9k3mv5kqQe8blC4WXevcreERjuia7LDrVQeyHe3vvSc6X5x6x3X5vBiIs6q8VLkt7CVjTBYqF5zJ2ttiyGa/Oe3W5KLJEgTutYoZz7/e7vbr63DVlttNPlYBOtmYPWAThr/0u/sgTKfDThxRcsjem19jECSFByVgulZYBpMMmj9yWL1Tvi296w9cG9rAoWtWlsoT5q4l0wIBbAwbij//e+bw3gcuVGHn+OmM8lGTB10mxAeo41q8d/0l8tZg4xO+1wTsiqVqYz6yR/qsMyOCyEzB8N5bpqFDhOEqnr5MWInQSPgF52UYDg0lVyXQDE+V0o4B/EVuXBODO+5mn54c1NdS7xjhGmFKY1Euu6tVELQ5vb/xG7/xtuSp0UTHy5w3c+OzflFQGLvK8ZbiKHnts80Yf5s+7fiBUDsHy1ASAPfdZ7vRTXF5pIF+yLQ0wqjhDbv0Wc/BiKGDvpYv8Im5tX6qCk4Es9mpNYZy/VtEcfdeJv0+cgLNbmbuOh7GYgzKc0TEHW9cBYGN/nY+a/T1uRFAhqnZwJZV4YW7dgxd1loS5NwZE4pH1o0i1S8GsMGHKwPGpzEsfU5jz608uk+fr0wPXQW4++FfxlJGQ+RSkMa8N0B0ZVvQQX/JB4eqIL40ABL3XbSePO+a1p7Tac1I0rOVUfe6dC2tLh0u/UcLc3qfUXwdq3udGyRstoxxFuW2I2nX4I0eAyzTIXtftQrnVTWIa8t67txF+92PLlmTiTIffYbmHOHtgCwyvzHVyblB2Qswa4TxH5sjcEf3CULKHD9lsC7oaSky+lSH4wP9aDBZcKU640bpm+1h31QAFWw1I0TfcNJltjk1dRyqU4y1ZZ1Pjm0/l8dukM35naMb+b/BzicHge4172wZ/btGr+1anD+OYXXolqXsM6zBJtlxezbje77ne97yMMdYGy/OrreUt3bJ5+66Lzjku6AyHQSc7/fhM1USo8PGPoyBDvjfZ4DXnNNPpWdxQdf+FxRfPkezlnM2mHJlqjKgoXkzafrUQCvdCANce0Hvbgz6u+PZ4PLQdSDxc/ewaGJn88husUeW7ij7hDPZGxk/+gYvNbDrPq1kK76g39paGVOciuZsjs2wxsvmzX/FDGwjmsJa43Hj3PjG98u2zq5Op+99114psGD6Jz/5yZf9DcbH3/7t3/7WuZpT+83f/M0vr/3GJqxfHrmlj2RYf+lOywUsMTC/1a17qY6jv/RtO1PDADsfzq1Msv0tocfH1XXVpeSgWfgu+2KP2Mw6qJZN4TV6uJu1edmR+w/f6IQ1dt18bl8JuAnW4RsIwpJT8rS5NZZuuCvYTga1+kUNYPqvmLI4xnI8+Izsut5NZH2oTu0u3ohmsw9dQN9ITp0JA75Gr0bKdTkxzkPM6+kX3HtnnLpGrwqTAMhCFZwYh3ve/hdAPjlhvf+dDKUu+39Cbw2C828EY8esPIOSuePnzPndO0aWuaOM0JcB32drF1yTA4xGLfta27WmrLZOTRR1AiOi1mwW5xId9fdGGPETWjcA0vW/zfrqS4HhjbjiN8rIb7vGaCtKe0GQc0Yb0UV95ijXsW21QK9RuelGEV3z0A1KOo8NxDTKh7+qvLvZws1MXjDASAJGjCme4dSSnb0ryRktCgAoNfeqISgoaKCrny/o7BrTG5muY3Yzmc2aVj7qBPTZeit33X/WuXVzuAZbgNYGtS7vml/3F8Uv0NpczRgpj9p1PeoBADIONMBTdVqeIp1+6xrJ69g+ORCCGcBFS7Qrv0+R1Wblriw0G7RxeZySDeD23wzYyjAZMvLGLtRJagBgkX/3pkt33O5RB4RDLTMxWguq1Vlo5PyJbpfeddycCzBurJvn6RUZs91Xdlm7PKQkDY9fg1+5NpcNbl5Zqux0CUKf4buXLMgdmwALvSJoKbCJL5WUN/vk3s0INwgLwJBdeyxoBVTVX/jr2qJmkfFtAWWbNXfs2vierQNYgcjNoXld4Fk/6bw6IptfmdIB+/FZdybedZUmG5vz7pq9PlWA/l2bHSofKNVcPzz6R6nv7gtTwGCcHePmKLqPAI9dyOmBVo+MLjbgHH9vnLWxlwe7k3n1d/n4ybF1PXyEPl42cQKyi9Xw+36TDW8w2Xv1BEDf5Av8IwGg5JaT3QBaHfL9J9i6+fX4ss0/evmf/mqVkIqda8sv5iFfl+bGWntiXOjabN/6JrDtWpXxBrnqlC+4OF0855bNsscHWze54XDOid09OLqrTtS3lSjbdwCfsWfL7qIxndaAvEAFXQDL0xcwzloddHbIb5Mnc8hOobVqJudemlfH4Z9msen0+/QF51S3sWGc2tELbsCHvuufx0bROf/nG0zrcT6Cr4LYAhDsiKUN9BIdaE1+A7n8pV138y/QVj67gfWLX2/SZ+8eXyizri/FPh+ZU7uOUcQFNY0e36hXlVeV2todYA06p6yRK+9P4O6ej4iUomhpM4pNtZf4VaSdoEbY+/3+/tS30gjTWifT1vP2H8e3Y3dPY8GgFwyVHsqbMK1IsvkECpppEtFpNg7TTmgICxCw3ydYt+SGM1unqn1jAPWZQW8pgvs2WNBIbDNF5amCbpE5ip0CLLAqH3PSb8lx54pR1e87h3U8m+0wHv+hMcVqTjs/1zhVIRp3wV8B5S3LdAxHBG9MwcgQ6l/L7xrR63XLHzeq/OTIlkYyB10j7bpoVQe/OkH0EHAvKKhc2kyka3TcjxLdi6Pp3i2TbxCl9Gv2tiVd+GnyO35jAIDP7rR5d2quY1lZKf1qNJ+CYtVb979bSuiazdA8Xfc6DAWELTvedVqRwbgClp55qVrCOQ1E6lOj7tXjpVGrHMiH3V49Y3DAciVv+LXt8ladpdKgQKTzAlACZWtAbml171lZugHa9qnnXEPf/uFbc4cvx/cbu4oF6y87PuXasnCyldUl9IeyeM6OZ2PfoORTEOa+Su86SLXH1cvVJ9cxf8rUVmbriHEWAMaW9D0d4774UAUB+XVturQZwx1be4PGvaZ7Xhthwyn0wM8cCte2OdD6cZctFVSS+epIdKrd3jU696Vl+3OrA9YEWmvDq8OesGEDTJe/9dOYuzYfPeGZ3XO8bvOubmTpvX1+wk47xj4aeAN26RwD9OhgmcrmQkluwXoTP8am+f0GuBrYwUtXL1QeGgRthZ+gK33aDS/vPJQnyjecDY57K+/oH86lnftXWtzNQK1v3bXsWt8ABJkb/ciCADr7udfmdcfBL8VOaFtd3IBX6SmxQ57RWwCjtLmtvHN/K14tb1UezQUM6Lw+9x52dQ3VBo7D+//zkQkB+Y1JxcDeOaOuJ6hVuYQjm9HGV92ktLRx38u7TzastGqi9OKO1zDNh+LU1nh3XVgFppPWcpA72ZTnJWSFqdcz0SVWwUOVgfsg8FWiAHs3l2qJ31qdptvPTkoNUpm7hrn9IThKgjhWFwT0vAn5ol4eO8TZusCfgSxQMQ9eU7A2xJCh6cOqrwMpE2b3uzqRFPW+cxKnXNbPRu5F80W7ryPe9TuEvPN4DVrXMHWOC0qu0Nwgh/LHPqtVc40qbxteMYgi1mvdnKBlk+agTmada6W7FDmes5ujDZAapS3vUUQ15Oaxz1ZrVrNlTOQJPUQ9B3ZFL7vEwPiBlCpg/OvagOWdz6tLNIGdlsHhcX1viXrljvEjA2gpkFOgrT8zCispF9VEg90DYHSs6GR3Ta6REpSRYbGbJAcB2PRYArsAT046Fw22oSH5qv4wdn24JUD0UnXYU3Mt18BHBQHX4W0WozKKP2ob9rssHmDIoR2osWFOy7gBCbwlMErfrzXgIJPSyDVa7Nzdb/dZVHlzMXDV4EzH5n4dl+O6hAWf4Uf3WmBPQAM9d14zteT/ykB1XOlc57V93T0a+Kp+uHNmmcjkujvVKz92f0GDZu4bUNNHPDo5kRWS9aG3mqkV+LngpCDJWKvDtNpN83FloDb+yal1XTxZ0F1HpXayQRLPEh8P2dF/vEfX0EGywUoorbHdtQS28Mbu02eU7zc2VCUVh8GcGHvLAvt8XBlcZdLajm+GskG60kzm1pKBPm90v5XfGqB/mrdml+qsPvH8DVa4p987ny3xFVCWSbRPxXh9+Oo6teypTLaqhMqda0xvLCOpjPjaAVl12bHdZzSHZZYNk621bIeTQTdUBxXjOKZ2tPSu89DWYLT/N1a4UZCqZeQwfAOC1UWdV98tS2jg0ppvFV2TAdf6xm/8xq9a2jP7K3CyY+kjz/LFY56nDA84ZwkV86HqgO7df7KeN+DFVtp9H4/qA/nEm60ypNdvUPcGjdgqurI6m62vHegSjzX0lGkdTkBnfsZv//Zvv9U94y16a60Z85borwpDMLJB3ftUk+qF9bvBCzZifVIJYExrZLX88+TXaLDD5NV4SvPXgjcfevnxXah8DQ4lJ2rQqIeB6GijldexbWlJHbhGP9wfIHQ/DXMxUC1hcC/fWz51x1wnvNG9p3ajkdfpZ8y2lgAj1xlt/ymof/kv/+V7f+kv/aWXUo2C6QtYKzRAJOUzJd8di/XR2rQy73XY0Bq4seBcH5VSKTnsmrNGlLs2qSWzMrWMfx1x11qz1sFcNOIJWOM9Cqg7/BnPlOcUw83Sood5owSmlLeZF0e+SquPkOqcUMzm0yNlajz1ef2ZYtm95/SMnqKU1yEtn/l+1721nLu80cqEOmOUWsGRMuubwbhR7bUa6AJx/fM/elfhr5lzpeuVrTrl5Ke6ZteSre2O0ObPq+tBVjr/qU996oXui+hvTY3S8AZk+jitggsGjhHbvcgUg8rZGi2VoM1QDewwCDeSWd1njpsRNnZO+OZKGTNwRmddXrmNvG7MDdIUSF3nute62TMBmgYoNm5VARwr4FJkvmuUbmBTA+7XT5UgxtygliyTeRM83Pvo/m3f9m0v73Xe30Wj2odLOw4AHhgIrsPY/mrmr6DCeI2jdqZBUmCpQLKB2toOWaSB7PG2kkD0tzZLxkuA7a4b7Xo2c77GWbeOcwB241RqPhrjoasHGyRmHzoHN6KPBvjt2uC+agvaPJLuOnJd2tL9BXZ8MQ5HHY7pOjO60yY3+053whXFSKpD6Lk6ZoA5nUv+pjuAdOvHOViC0s2okr1btXLB9xrHm7NhrrpJG/3JvtrnYsfuPg00axy8BkXK73RbMaPfOd1+axAcvthnepb87Z6cozqHdlcXfLFucuubt1M1ED3aLvAzmdk6/9niBcQEGHbO+NtjwWY7ZAxbkmwZC7yMJ/oIwuKXp6CWYCA5Qq+19eOu7Vzb2MYTSk3pjTpEroPPK9v0U5MXKg5gwNF1ARu6YHSY7O/edbC63rmbOukXu8WRtTxCsqqYnQPLDlR2OLyexVyM3yqd6ag1PAsHk5v1Y69rgwQEmoW/tqCYgbyRvdrSjl9rUIlOGh3X75V3oye53X220RY7AzcKVvzxbOIq2Kv6TJl4kyDsaPlL9ZhzW73Wfq4/DUJUvn2m95o0hNk23+Ol0Z08wNZeH8ShfdEVH+RgnS14vlmLgpwKx3XCOrjrCDi+jOFYDNJoJmPMeNxo7V0DdZ3HZnF8915jXON8lfQFIQUjNchrYyhgWt+v86FRgF/+8pff+47v+I6XaIvoZ+9NSAqIlI8Bj2MedNv9x6hT0AMiMh6YigKbsDR6jek5XIzsQIzjRP9ERbU6oo141ajJarmvyI2+MdhAxXVqG/nHZ40iAy8DdKP/E4hGr27O1Qd/K3NpdFM/blajvNIy1ifH0DEtj7tOTxVkW0HNGvri7fKV8zn/zTYwxkpU0Botu8tw+fUJWK/pc7+To45hNLWOrztLomHL18yD1jXx7QuA3rXzwOR1dvefctg6Fq5VY2YOK38NjHG69FtWAahROnWdzteCZDKZBfTotD4DvzeKXB3le+fmOsrGY3zm/TVHs05GZZjxN3ZyzakC/jqvBdyMKBmz4YXoNQPMSdH36r7ak+7iOWBDh9RWXX5kK66hbmk0edf3uyynyy563fLX/f06tdUP12ZV9+FDMgqgDZzPqfd80r03WzVnSWDOXO6adIMgYu257DqaCITh025Gg8+rC+kJ/H71xcUA95hLs/6HHvf4Vt9UT/Ya+sbBaUmjwMT4F28XBO7zHCoO+sBa50w1lkAXfTUeboYGpuF00N97JzOtstqr5eHk0rVdZ/fbOa6Nj4tPXFtGphjv8mJ5lG67Tq0N064MXX6u/fO5zlwBM56/gXZBLdno9WcOAdBtCRc80Y35Sgf32DF2rzZu/VPps993H9n1Xnt4YVne8pcACv6mQ2of6/hcm9d5aJVWW7F4K1uKzZ1LDrs2mI2kR9jNJpfgQjrY3LciCy282C//N8Hj0Vn0Uue0FQXoIVDQPnU/CTpUUKQZx+rI7gukT7umYDOeqv3zf9sNQF2/4KmKwXw28QCPwAvkSl9saLbrdg1tKxH++xv8vevS7V4c7wbZ8AkZ8+jG/T7HX8AAdjEu+KD26Or5y7vXL5qMSLxV9tpqxz8Sp9Zg++xSE49JKRuOTScXcK5j2VYF4LqN5DViBcwBUsCYCKbMY52hZpC6bu3JqX2KqlzHtcxecHfHcCORSoAXOSToVeydWFGplUoqb6NECvr1sYZDZo0ju/PN3cqZR6eBROsdlHE02zDD1HVyMhxKU0UvlXMA21M6gFUjRASSgDUqrOxn5y5aqjRE3zggpVMDD40WN0OOh8ynzVzm5HsYd4WGUysoAKCtocE1FPrRTVCavfS9AOUqNA6PXXmboXQ+o3NBMSffPSm9rnNbK/AQqNhL5F1f69iSFfRoud7l24IDQKDGuU5H+ZwjRL/4XoPV6N2N0uKBGhTgpMGE6p993vhEmD2P2E6K6IifGJgGYHotwRe77JY+ZMVxNzhxdUtBRzd1c38Z1gVmlJh3rtquY1uaN/OrPwUSxk4/9zoFg7UDwJ5qDpHYvXuwuvE9ZemU7NVpVKYmAzbay0ThW8b67lEw+ghWzMlbAK6Zn8s3xtYsCjpUxkef7iBbQLl211le2l0HjMNVUHUdvgsiKheO9ziM6bjf+73fe0t/ZcgFvQP+Ng4p+Jp9mPwvS0XWzK9KLXSTsaO/Za2WBductbwTBngC5NfJKQ0aLGzwsKC0wax7bXq8uGQNgOb0lefYgdHB/hGr1rHhD6BJb43m+0/wBLiElVqttDkZLWd7bXTD6VQFsGuSRU4xuXXtVmIJMJtH1VOOmUwBsK2c6WY7MmxsA1ktFmpQdI1dvk7taDB9OtrdBMdTkKIOZJ35fq9T1Fd5BthfJQ6nX2WI0uoGawQZ8CYZ3NzsO8xT3Tp8svuONyznWtt1l3jYa7v9dkftORnkCD04B9dudez3Rf9dDFB+dg8BmeqmVgasGb/qITrTmmwbJ5m/4iOVOLd8lhx2iVX1GTy5c2Rn4f0Gb4tf0KNBNLrQPfe/dbxkhL20MZx7tz9X5xbPd42uIFcbLHDH/oS5zDFevWvsYcAmJeocN1HE0YSfyfofvBkfe1j7VgytL+ZNxUbLxOtsNpHFDu/aTQDQT9cmddzsicyvsdMtaOOc1/TFh5ap9ZqRVK5aYFRnrkqoAKmTreTQQChoHnzLmwmB+vn26WYXNtm2LS9IA8hlVBx3x1eGaqSxII6ybfTwaQKbDdnvAxvb/W3KsGtjHyfozXh2zrK1Y6zv/M7v/P/LyKIvY0jRKy3lDFPqO24Getf89V//9RcFrgSRsldKbAwcjR0z0MOIWusrAmatcEtOKpwcXBv3WDchWjfe+sIXvvC2rGWAa+8DSJQ5RdYyJX0EGI1BWQZn8ld+5VdewF7L6trs2lcn0tzbwa8lKBVea7ScV4VWwcfXa3VAlarinYLr8mOzuc24teTlOtJXSTVItHGNH7tYX587NxTPftu8NFBV5XaDDmtowhEo3ytrGii0lf2urRxeKVb5SN/0q33pZhKV/duMbefYubQyjHZoTScxvgX7eK9Atg6pQFT7eINSaF4905LvZuLsHmxuRiu6sNeip24bmBi/7SXg1AAkRxG/tNqkQSRzwJiitcDIHkkGBE528JfIeedxv2+JhbZx7zEQzegKaALpd22twGbnWOnoZHv362YZrbZAK9ksc1VgVaeWvDXAAZzRZTeyXwDe1iBo56t25WluyTvnfWWTW1oxWiuJVvq9sVrjN4f2u77ru16WVniOr3mfzpwzstJMm3gAw+sPXSEAtPOs29x9VAUN3O8+XZdG3oyhzrTPDfoU1FzZ98621tlvUy66ZQf735KPtW56AzR2GQT6wg6TGzq+mIdeGw3G7/SHwBpZ3W8yXR5hsntN/5DLzZ1gsDJ2cwCEFrSjlXXSAnYeubcXnIMvBU89BaDyQr6ry29ZoLm4u+dqCyDtqQh/8S/+xa+qBjHvPd71zLsySg4cZ5ucO5/TA4fY/Gznwwtr++/Tn/70V20QpUS7ZZALxNgp3RpY8oBGsMvma+dO3ugPj7ux3GT0pz92TYE9AVnjbhazZaytkiJ7zUKWpmv0ze5Pn+AvdJ5cFzu20sVywI19epjeg8uL4wUM9lmiZq9iX5tHcbbwZisAyCH6NdjfBJNS2toe9OjeFRyuvRaUU4FV/UPXoAmcJKBT/Vz9/RS8UQkkYNVgFAzaDDgMBSu4P3uJ5pINN9ij3L26FP9/8zd/89tHhZkfdrlVYsWN3XG58tbs+/qg5F2fry9UrHGxBFnvWDbv6+93f/d3v8jML//yL7/4JJYOmYP6YB/JmlrRlxFNhAXRGh26Uabrhfu/nW/kUMZQtLC/U0wlZndgG+FkJJV/iT40ArJrW5MyBdVNTW7EwNi9M4xdU3Vfa81ecR7m9E3hb1w9v7S4bf2a8hzTTzkzsDfCV9DpHW0BV8pjCnxjn1HbXA7w7X2/U6bbUt063P0/xTzhqJJXxguYNnoMTHqhP+XJQDRK5xo7bv+vjEcpbMfKiSIwBZTWsxBMQHW0VwJ510BoA+G7/8YuKLKXQIqsD35ttUAN7jXy+KFR2DXAZWOdYgI+mt13bvmqCqM81gAKEFUHs0qH8rUueHPNEDeYcZ120VmG7imrdPVGx2G+tJYsijbv+l1barfVC4gYKXOsQqNBJ+O5gKxBuNKkpUBdG8RwtRQQjVo5QgYY4/bx0uLKaqOcNfCOsWZs80ReBK4AnuoU17x8XnkTGFOFoF8NujUQ0Xmo7ALTdNNkzXqffRc0sSbTfTjvAgKcoJZ1AV0cj0au9R8v16Dq1+4x2sms4I9G+Z/4o2O/L3TUh8rKftu9gLG2ayduNvfe88oR2Xa/0YVNlqUVHKKrgXSbwAFBsydzPi35WNsaxB2zgILySjJqPZ3NdlTmyGjste+zCzu+azbp4lteeR35ix/aavd7bDHGBfvkjm3Y541j/VJthI47drQrgGQHNsb951Etyl3xWUuzq3eb7fGc8rXN117opgKI/ZIRa+CWblnz2MNm3eh0ZcnOERzb/wIVADhMpQ+1J+jZqrVmVm7VjjbeX/C4AQeZrjuvdN2TrJVf8AgsB/NZh7j3ltM6X1aLHjAewUXl3APXdOJoBDN55Ajnoc+27S613TQJbdh2uEeZee1T9UIDzpeuxRbX5vZ/+lfwpv0oJjN+vENOBXL0jZ7xm7W79EBp3cwlOuyYjqmBbZhlTUAf79f+s8ECu363rl9FA2wHV7IRglAcarpov5MVdoe+KAZrdv2p6S9HtnN3s9QNTqKb32pbZZTxLPkjP3TyZPsGub7+lAhbZgXbNBivH7cku3zVKsg6m1cfdwz16/r/+jb9q/ptdkh1xOc///m3NqbBmI/MqX056Q2g7c6VJRDldwdWg6xdcCmK6CHZaucZDMa1ziLFQnEppdyxFkHXmWpmyZqI3X9KcUJNAV3F2j5zIK/xfQKQpYOSwUVyMUsZ52ny9tvGsHPWRzu0rbUkqMxWp8o9RDVFDQn5srW/+qu/+qJ4PITa9a1nE/HdeS0T3Vy0fKRRnDWbWjA0dmbbZ+Bgc9Tdfxkp5W9zstefRrY63iqBOtAF23hr4xPlek05feUrX3lbZkwxWHMpmleHoYGca6CenLsaizXlUl528q1SKy/1vt5LfxFMvID38btxkwVjwk8Upf7e7BwFVwX45Gw+BYTKny0D1GfZ+0YZndfMZhv600FP90e7KsnKbGlsjvBY13TfUmgAQYAKaEMXkd9GWq+iftKH+nvBOadWJUSzjHa57Bxfx6D30kf6mwN+S5ivs9ffr/GVYTEOj5AhS81m4zv0mL6nt0X49Q0oo9uB/ZZloy+nvNFo9GRf9JVD28xgx1md3N9rEwQ0rqzuvrJkt915uXx5+/I0fw0oywQODIzm+8yJaea4GQlLHTxDU+nq2rI5dBE+J+/3URPGuXMKkGXNOAbmf5+BmY738lrB3G1PgL7XuP+x5yrD6LJmSOxEvL6Rg51n48DafWMAhukpzzKld+uskkt2kyz3qQLsrX0CutaxJZt09PrWTd7IToNE5NOO7OymPgD17sW+N6NEtsqHT3RuEzBvhu9iJb91Pmvb0Ny7cTaAJeAteKJioXhMYsP1ayf8Pz5VYimIgLauIwCilFUQsDLR8k38JctF9gTkO54Gd6pfLs3r4DwFzvE7mjfgZ9Oj0h9dOEboXCeGDHL8WkqPj2BovkHtqOoH/MSprfPY4EexXDETXdakRK8tgGP8yo3hlerm6pUGGep80zXl04sb0aP+SHm+esn/DW5fPNusfDHVDWS4j/HVef36s7a3vFQd29+ekhgduyBA5abntl2aXX09mnkU6Nqqhbb51eyQyhEb433Q9oEf6dOOiUSrw27a/zoaCNIJQRTCRMlvUKL73aioTMmoVCmsKYfQV8qO89fy4xr4pb1FrxctAA4dq0TJvdcYrTrsnVTjxiT7vGznnKZFwhn2q2Bv23hG49Fikc8vfvGL7332s599Wz7kfnVu0euuJzVPAyBTtPu+jOQilCuJXinyztm8zgHc/3MsORpbp7JzB552vAgmgwhUGgvHmTLYfaaQ5qDPGca0yy7s2M3BHtT9Pd/zPS/ZcxFrTC6LqDUC1PUYjHTXe+1+o72SuaeI8doy4punrWMuWN9x448JIJ4D7Bo0qRN459Y5lLSIorVnzQyu2dDmOutKhGTRNw91aluag//xcJ8d3GASkC87wYgzUOSrxkSACQ8WpFfZ6TvwB3hUl+y33X/zvnvgK7LU9Sq3/JqSbmAF/etMPinb+1JOZK6q/BvAu5kmv9fh6lzggWtQruzr9y0n3+fx/3QHB7CAa3oTwNv9ZId67xolfEjv+mydVMFtHQ+NAW5Jl9I38rZSf6WJLb/G/9NrsmVr1n0a8xoa7BoeCK9KAI8WhJU/0NK8tYyes+xe7EODTgVZnTey3qqLlmdyngA8rXq6oLSgpjbu2szymkws+m7+59DOlnFWplea8RNU3fv4aMdMz0+nGduuNd23/6an+1ivXWs2yO7I1QMFhZ3LNQHmBifN26V3aVWdUXm58tvfX3O0yLN72mF0/DqbtrHSkc3Y7Tj2ZO8DXgD9/rMMwK66+KqZub3T0R4Rs/M5zOuzoIRdYSUNOAHNCNvDgg4liwXN64vs5Ma1+RA0HJ1lbzdWu4+yneZBoI5jfJdzsUMSAbftet0l/P7Xd9lfskRO2JuWfPtcp1OmTFAevhDM6aPAyJ+gPB09TNNsHpm2hly5Jv2ze3uuM/6CHXfebBn9Qf8JoggQP9kG9qv4plV9MqEX9Asobl7H03QInlq/ZMj22+TYTuUrFUfv/bYlDDtnVRz4jh3w3ZIG+GIydJ1tfVBZZMd+40MLARvzN56y+dpkrvrU3OHZBmYtEdq1BNJ2zDDdsP2uOx1Zh1sw2jhgRJuFucda9dGaJRb7vaX85B//wrF0h3vd4BFegd/0sU547W755/98U5HTIGKrNdj1BjvpEDJe7MZ2wYZoWad8rU41m4pm1UtsrKpE+z8MJ8yp3XKXv/k3/+Z7//yf//MXX2R43TKhjzRT2w5PGWLEW/bRzxXqAoFGq3bcGFzUGPDGoDX2jYxRsAWxJaI+i1wDNgVYG4e1kiMy8G93YJtFKNMscHJ9rVEmzAlYTHHYjfK18+8EAig7fgz4C7/wCy/rHSj4OscEiLFpDbyNWxrdxORbaySrLco+Z3elAI7lQHVDI3QwxvWj5ZscEeUfFd7R02vX2rxPQXzuc597G1jY8Y0w20EQH7RU4joQSlEAPo50gSontIqK4WhlAIWw63umWY0M5VLHC6+5Zh0M76Kn3TyrfH4j1b3fLT1t1KwZvM5zy7ga8W3/ujZkr5ajtTTV+Ao29MvOeeRgrYZxfDxwrdnkYI2DM8MKcOzV8plm1loxgbbGdLM8BQw3ylgHv4bCf/pRA6oZ14121jEFCHxuOV95A92qT4EBG5wxNmQE8Bpw3bGegUu3dr41z9OcbpOZkiFCx5bmXkNmfOatpXW7rkd63Kg4YOfxLzNw1kLJlKA3AOt+SjfbR/PeCqHOdTMc7JL+0C10E2DKMSgPNEDTjLRAhg1X2Lnye3X5BaLl22aye1/8UFsiC6y8eHxhvWcdNoCW42QzPjpu+xfYqZhcDdy7ToOUmyOPhmt2bPeaDQGkVBLgEcESa8YaMKoj2vcrO9cBaLVUedIctdF5e7ceuNlbdJSZVno62m0crfa6wRbP5x39ybigF55ma7phIttzd1y/wXCyj5/YM3rBko310/kALnvovZl9NJ4eRkfzWn2pX8MEC3Ar8TWu/f7E1wtM//k//+dffheMttazOrp4rXbFnOGTJhDqLFRvCki6LmcWNjI39LeyYzqGE1ubaw7qnMAjdfbpSkkQ/EJ2Xa+ZPXMKH1k6YTycjBskZovpwepWzofdnvG/Pipd3282SazzL8NJBzbA6XqWcKHDXusrHlxjV7pL8s6XeDLubpZUvFSbKtHS5Yhd8tJH1KzRxXCIPkqgSZZc5xt/4EXjR1sVR21/4S/8hZfy2TnNP//zP/8S5ELfzksrDdwb/WpXHN/xFI/VTuBZNP+D8wz26pHyX6/Taji4xLHo5Fq1WeYIP11c5dr97t6bxyXI9j5eGs3ok/kde3zpdM3smX1JPrJM7TW0mIeypMyrgDsojHKdQAzFWQK+9yI8nRiOFUNRgwCUVml0YgtwjAdgQLwuqDbJSogoetdCG2O5IBlDbHIW5e6GEa/RuZ/RTGR0mUSlu5wMr+tk1Xnqmo8y7j7b/lt0BlBZf5UxFbyh2xTlzvUfBd91Je7n8R67z65vUyTrKOwaOKZWKq3vxlclUGN4gUCdC2DfTrFVLuUBrTwh423NmF2dRyP8V2ehGbw1yrpG6TqddTjf1Z86FVVKNdLm32fAqmX3VY7oYRzkggHa965FcQ3XudnIAtHrDNTpa+kJujHQBYMMs/9Ly46n8tLMbT+XrlW+FzTfEpzSqtnwXueOsXx45/I6uG0FfDcgINgkg0PnlYYAMh2Jt9CqYB8QBmauDinILKC8cwm4GJ9Niex0fI0qcMUpEvQyp2QPDRokEom+jiN92v71vNK+ziZ9RqfR+R1P23VSO2cCHnjuysHll/t76fpkAwpCgEF2lzO9NrmZTu4zctHKJn54aGBizhgAg4bWZwu4mSvroP3O2bO5zvop0FZ7YX+LylRfpXXxwj2+tHJOHZ4rbz2uGT0877w+ZmpNNol9LO9ySDh29OPsSwMsPguGNpj4BFAre818kNWWCzcb04AKfsR/lQ9yVUdo12vZ6V3r9xod6ZXq19uWeVnVFbyy8zwar/NZnVcb2ax6+1On816r1RJ16PS1GPBey9ygRcd15fGe22BxkyW1ibBjearjr/PlPuhbXvFdEOI2st5scnET3nds+9TqR30qLV2b/ii2QL9et84xXEoXwOoyqnjZ+Zxdn202BWuwA5x7/F79Uf3gOuS4/HbxfM+7CbMG0dZW5aJ6b/p2WJMtKA/dAB4aP833DfY0uFenu/bC6w9SleTY8lermC4OKW/1vdiwze/Vd099M6cNZrQa1gZqqgQWIF3fR9dVDX2kTm0HA2jK4InyE27gr4zhOtepRNw6QAZs3UKjOBw6kc+WIypz6ITt966V7ZiqLEQBMXmBBENnPJc2ZUBNP3buJu5LX/rS21K/yyQdQ+lc52L0naMpku5ZbJTRLY/EVBwwjm2Zbr95/uO+y97s2nMwAVTRd9lOpVLbun5tAGn/ySrvte/maH3Y+TZ/2rUFJO4DnoFDwOMagjXGmZNECRJ8Bn3jWandAF0NkbnaZ1HY2xhERmD99+xHY+yzGOvw41XHVdkwElW4Pa+GpUqpJZSVx2Y+yOBesg1o596CD5yDKZIGQhid/VbZ0zd9rbPJMTbOroGtQzGDOF5ZaYkGnIuIyxKNfyjBbi5RQ4rfGoxAm/abDrpOaH/T/4JB/W65UyOovZb3Rlnb1+oLPHqDHg0UMOrKhMZ7wEqvpa+jl2dgz7GxTqyZjTZgQXCsG6ro45W76iXz36wF+Zjc1XByhgTWyMteIrIy9n0UBt5eU3KLf4GbyTcdRo+Uzt1AEF13n4HsAj7VLPgcHeo01fb5D/ADrnZMN+LpXF0g9QTOLz+R/zqxQAdnc/exA3Yzr3Zq3d4EsxvjjenuvVxPpqP3EkSlR3btRc9rR+h1S3PwxY61nnrX77x3TWHpd52jGwC8NNTqCKocuYEH86Diq0FzPFQAZnOo0W520P/obI+JPTt+v9tEqBlJa4rXusaw+4Q06EJXkEvfd8xkiWM4wNcgzmStvGqM7O1NJtD51XkcHzoXvRqcE3ze+R5xpBLq6re17Wo6bLDSwpWy7nqrMCvorR3u3NIX1W/o17Hik+I4n+tUCKg36ExGi/lahtpgGFnwvZmyynEDIPik18Hf+m9euhTEf/DPdfYbVLBzsFbMjWclGdbwHuxpE6kds4SCnZGtATbm8YRs6/RGgwddQ1ysVt4bn/TxM7sWfakPXkq2x/Pm30al5QtLE/EPR5580zd1rC3ZuTv5CkzJlhbTCUqphrt21JNDFtQbpoURL0Zr8M18V79f7EbWYBj8LZBReldO/+CNfejzq5uUaJCIr1VeLt7EN3irQRx9vtWFlWXvgqZkULXQdOtsyrCgCprNzWc+85n3vuVbvuW9H/3RH33vn/7Tf/q42eKHWn5cgq5x0hgNSgcREavAutmDNcQGrBCt658QsVk2k+L66rWfSgQpLAxS5dlruz/mnqAzxoyJTFYBTRUqcEM5zfBsLeyilt1M4rYng10H2nfPgPXwZWCuZS2igzIjBKkRtdLfWltzuH5Y47hxT5lVMD1qY98HmGb0JtRdX9MHQFtHUYBLGTVLUJDXyBsgSFBFq611qiNb4Dq6ey5gFcmNiJXG+s+AWAcFNEwArUlGd32pgWt0WHkOpWTMLa+qbOGrRuAAf5kF1zbn5hYdGtWn7F3HHFPafd6h/jICDFD5tI5ms2aXv4BS/RrYXWBmQKfXu0Bh9FE+dMtYjeUC2DqYFKjWsroLhEqz6gRlf+hzAxDXCbnAigGrrN2gh9aKkhv0KOiqsSi/VnfsuJXbk7s+3khTYgkI1Dloed1r2W6OnYCmPk82LEuRkfXIFJka9BSM8mzsyTHQVLk2dxuTvtKje1/Wf8cNXOClzmfp1wwGxwPooftbdl39A1R0syq8KjNuLus4aAXqjP0NcN4SSPwH4FTu3Xd0tclWdyMlSypfNq45RYLRXjbzYjfNm8eeKB220Z+xdAzsLWA6kIenYAL86Pen5j/zCEegRzMVDZYBrwVimrmffdsxyrf3HZ8rtRvPDWgJrm0cu+d4ZfZ7gAuf13bNBu56u/b431zjawFGtsHyrQaRrD+17pJ8CTR2bw/2pMsyAG/zgCaWFbk3m7ZzyaplLByhbvq1flj7br8DS0OA8fL5Gud749saxh2z7K2lEVdOC6g7v5XfGyBinypT5HQ8XQcBH7pX5Yptl33Ul8rz1cnGcIMybHUrqPBYeb7BWI5LS/LdtzJm/jYP05O1ocaI5g1KaMauP/Qmmeka7jlrO1a58LCm8vHp4Vt+vGM5xcZN19L1DSRIShljg8h7CeKMTjt3Tq0NRHecJRT7LotrSYZrS8Ls/usbR5jOUzXYQIJxGZuNRdH24nayREfufbQQNNy53aS1mPP6FJ0nY+eMN7llrgU+0P/33zjF7mU3dbz+5GSXR6t7r4/UbP2VuSdfiN9mzHV29/90giWe06nLyG7OPYll8/X93//9L0sgt0Rm/39kz6mtIBfwMvYUYqNGLY9slK3XrrNqkspcCFLgekGXSAoD2vs042AMBcY+U2r6wGm5JZz6uoYBqqS9ZKY2iX2O3AXG95r3+v3tZnSMpQ5Oo0pV7Bd093iCsAZM+O1GhDB5lW3XbwEKnFHRuQpKeeHJyW9Ut99Lj2a16tCO7hOQCUqjZu+63xPPMyL63QxVN/C4mfYq9zoIQNmNbj85TP1cRXPHUfkAMO884Tv9q7NZhecYIPruGslYlu4Agf7USa1s7PiBwcmDHcC1q3ABYEBDlk3mR6tMXv64TmrnvLxVupY3G7HXR9epDFV3dQzVZfe/zm+vXQOE/8hyQd3ViTdQ07lpRl27TlL55erPq6/v7z23jwsB5KcT7E3QSLLPzdQz1GsqTMwfA0nW9HMOhQxt1/HLWslGNHgJjHO+d4ys9YD3DRg9vdC40Xfn4K2rZ56cucpo+cq1ROCr89cE1dZfWe7Ks2s0w6XvaM45qlOL7pyoLnUpr91+1w507lq50CztHXP5ubJ8QVRfaNQMxs0aCj400NDz91IeCoR2TWRtfmVlv3NUBYgu+FTKLQBRfcjpQle6Ao1KB/y9z3VCzIPxoLlAoLEJXhkzHrGHQvmG3oPluvTCf8ZZXNAmW2fjutFhwcyB/tK2OrSfixPI+sVMxX43QPmEE6unKrt9VU+Ss8vnDQ5eLNUETO38U4AeX1V3lLc71ur2lhBfPt995ij4TMa1OnCqeMhtg4ndJVzAcNlczmZ11w0IVw7prtJHxphTi8473rH2LbnBh26Auv4J3NB/7nn53byxh9Xr+BUNrm4yHvLfdh1PDruy6Gtja1vLR7VvaFHa9t5Xt/f7H8vmpcViAgbXrtQmFh82IemeXSqnP9cfujJNbi9vC36vX0uGrYpovLXfF0i0y/jW3k5vfOSZWg1xrDukxCjKArtO1gVzVUyEjpMJzFV5t3QSM1G23bX4RnW9XgYfo03xe9Xhata22ecLKqsUG1nfJM2hXaTBDn0F4h37k0F2j9JcY8yfztt3RlDD3GXi3ptx3u+iXwzt+l16du0y52fHej4YYbQD5ujch5+3fK8OVcd2wQej21eVd42ViI/d3eqIrLUM44ne7tn1Q+2TbFPntIroOgg12gVK16Hq/Z/krfLkc3eZVqZeviwPVTnfIIi5ttayxpOBcy8KW4SxWYbOlWvLks2hXXnOSkY7rsvjMnw7bzypT2s2t3gyDI2oM+Z1aqsDLlB1LAXerI85NyYvfehmQw003aDck+zrA53RYIjzZW9sRPGkE41bJgLdW8KkdW1mgyAcAPd/4sULtNB9POARXzt3IEh56oCWDNVA07IEpbsxcaLM3xw2+mKOcaty0FVWgUyqRuimUpZdKJeqs8+G2DgKX5OhpzVbe92MbR2UC34q1zcQg2cFja58yi7gOfKtksizMznm+uSe5umOvf0CvACi6phmlC6wKm/UVjTIwJbQh9exJFOVg4I5v1d/d2z7TcB4rTphTckjW2WMeFhwoLJHnu1fIauDF8x1S7BlgDiLO27AbZlfj2zrEpAuDam877duPLbjbaC538gSfqGLi2dsAEWPthzUDvc7f0uB2KMGmcgbnpDZYucakH5yamXT8MJw0JZfraxQyWMrT+p4wi11RKo/L0+Qneqx6qU6sFfn6T9sR85a+gsH3GAEPVvHrHbUufpXfjff5qiOQmXjyUnc3C0T7vF/pfmaJUNdHuh3fd7/KwevrNldeDp8wQc2e6993/HDsrC1YHMxTTOH+qws31xNpuDv6p7qTnxQzKqP1UHWYqr4WZXI+rYxkBPOsj4JgMHPbM7GQ480WNlA/214eZlZMrb7jF4Ct/SK+Wl1BX2//8xPA+rmB/+9xh+u+/Vv+KhLp5qAQGe2UZ/MXf2DYpidK+N87VgbGpUX6LcGh2x6OXpPJ9i0bVWtK0ve3K0v2zj2/WZp/4ec2go04o9xx0g17gWPdWrr4QNANzIAyK1hYga767g60UoHbtnJZSSfleb6v1la923WhqG7gKROVZlo/fy1X/u19/7Df/gPLzsfX7BQR7Y0us3xFAEne0YHYLAjqntoGLvPiBWVXrtZOk4SgULz6zhX4Ytu2g69xkSGbfzB4bljawn52nUgrfdRUsnxYhitszOOAYk5tIvwXIfp0ubJeXxSGOZtY9y9+0Dx9dcjlgp8S/+OFzCtsi3v19nBj5SJOXKeDApDjVbo3zXnUxT61t08e1+Oxz57Hh+Dr/zsRtkboe6a3MqHjY6mtOaYWTNjjCL65cU+gxGPo7tySOU+N2JYw6p/3YG7IAHPGWfnvwGLGifnuS8w3HluhuzO5w3sVXfQO+R5/zO8QKwMdsvYes1GcDkTbSLZdIHxmuOdZxOZluHpW8Gh603urMlXqkbnjo8296onmr1VPlsDXn2uzUluMMM8dS6Mc/eZ4ZzeBapmLMmG9WjAPEdHGa8SPgGaBnkatLwZH7RvnzTHFKhrggLW9N4ofWm+Po5mHCUlcHjDRi52wK1j+gQw1thBdk5/u4t+s8R1auhFuoRzBQThmWYLnpxivwHkaFi84L36dfRQsmZZSJvMCeyw/z/96U+/3bHY40MseRifDsCPJrM5yxaoOig2kNXef+OnXdeSIGWQdvJfs6cEXCNAqDxzGQu6rmsQx8vbYdVaZQGh/c9Z37X3GZBeH9YXTy+wLGvnbOnQgoq7zvqJj+wwW0CKz7pGmNPZaojr1NqpfNeY47zx7ckN2y22OwQ3a3YDsOUzOvLquRugaj+uU7t3ssGBq2w3aaE/DWzjve5RovpEX1uV04qbm1ntOLpBUx0ntqpyOdu5XXZ/5Ed+5G0pvLZ7WELWahnYwXwIdNBltYFrO4ccCk7s/jDOgjQwEL2xvi7btuDLgmzrZx22zlMDW3SWRxOSD8kRclbHUtBHsGcyofTWvHPIi1nQFm4QhN24BLa+7du+7cVm2A+Gra6z3jaZGc782Z/92bfl3Ko76XKPJ2Rz2RFYqRUtTVTgpWJ6OqE6kCz9L282rqPfYbmuP+arWAon6WRu8H3tAjoYO7vSBEJtA4zegOoNZC6xsTmYTd8jSumIrcGfnR5dxkcL3tCLH6lTe50gwmdX2JaBGZgJ4/VrGHANoLlR4mYJndNMLuBXkMXAVik4pw4uJmgUspHTfr7jr7JtiQRDNcH4jd/4jReDa/1HjbNrUJ7Gpj05vHvvVunGeBfvu9aN7NxykTqnor83SrXWEhbXcU33rmMDpDmu/dcEFRqhvtdGn2aQtNK9hsWmVejUeezclf4dW43qDcY0Krs+T2HZRKEZsvKMaGSjpzXQtopnOJ8CMxxR3+sc3chwo/5+Y8icf++DNnh3vyn/bbQUbfa/nQsBMHSpowtIchZqcMsHos4F/pwrO7lWIRu7zERl64LeO7fVWQ1cXcBcWja4Vb6sbOGTGvrr2DaAV1npZ30EnG7WrTrjXvO2ztkNSm0eAOzy9dVL5oN849OCLsDcBh0ynfhHtkegZRF1j54BAm7EvlnLp+xJebHzY9zswoCHCD++B8wb+AB0mw1oYIatqpMlQMWZKJC9jutTEK16v7aQLinAQH/yAhDVTgpeCjxVBq6eK++ie3VYnQXz2D5XRshrA6/Vnc0QVW4uhmiADB0qlwBb50elGFt4HQjrQTlgo9NAlMCogIZr772bldFXdOPa6DwbY+NETuOOHzi3g7vnusvC7Hcbnq3V8WdDW/1D56ORigKBPdmhOl3ojD42jWFvBSk4Op7HuXvYMRtPC+60AqeZzvJCG3ux+5HznTdZHJhVgVHcgS+Nx3cYiByWN42ZQ1v9Dxs88Wsrca6+L9+uFZPiyVaLPNmfXqtYrwHG2uHL1+V9MjIeHy8t0OIZs23krhUHHkVJf/TRjs2gjo9t0tS+jq4qbjjJsrdkpXPhnCaHKo/FNM1SX/zdOSl+I5v0O1xVPOw6Alw7dryMPnQ0W03mdlyzpSoV679cfh+2H96cY+2Y+ifFUOSNrmzgmlyy+7Xt1t1r3Um+WOl/fRPg3HmSJnRikwx73zWtlW+2vgEBiTJ6yPxeX6dVTMVKgtL1eQRKrX/mII9Px2ce8zMduvP3m704PjKnto5Qgfcap1ZWoUxNmC94QkRKtwxRcA4o7jvGYEBbKtZHTFSwHO/FAF+BcnydkgKPy9ivObV2PF7qXCnQjfIU5Nz/2ocLJoAuJROyqRyfKo4CCAqzEcmCRP+1VKwRxIKsfq/SbnTtPi6gx9apquK+QI5DyNGqwnOf8tT+n5KxC7bf7py91qpM22pYOdij/Yy0EhaZ2s5dHX/GgFNLGXF2ayS7dkG/yAAZqfG9jm0V2ppgU52igk/KnpFotJCMcjYAYIEa2YLOPzrZKMV17+69+mbn1oKSOh9K/0R18aVsbgMwV7bu+wXSeB3wrkHpuReEN7tao2ueyGOvVyeqjswFo3USbpDn8umTsX3i6TbgQ6aWLNXJ6T3r3LUaB3+ZF8+7Ju+eXQgMi/jPWDnWvJF/fNDovPsYa8cE4OgTfnH96V8Z4h7f+SSf+Lo6k143jtLFnHGGW/nymmPbVt1JT2jlkc4PYAqANQgCwAJi5s2cN+jmcx1IYM790QUwM/fN/DYA00c1Xf1kbozHPRvIIE/XMbi86JwGFYof2jhmfU7lMjweWXeXVViDyvHkMNFfdJ4nA8iU00/rIwy045bB4vgKUlnL3UCje3BK9LXr4wRFrfvd/YHx6gZzS+7Yj8keIFl+Q7P9L6Ppd4HLNXa2FSX4rw3GEGhx/uzlHNoB1fLATXR0rumS8nD19nVwq69U6JCJOg14Usa4gftbvVQd2zXnlYVLg9qKyvPVC7UndWqbHRSsF7DfvF+w3/0E4GkBC/MFn9uAybz0yRXlodFkmX04Zfxsh+yOBZ3hNTqAvmol3cW9ZE+CihN87ZrPfXZ0M+ye82vOBGgqb3gJHytxVkatZFlwQF+KmduWcVxJ9miiT+UheIAc8l0a3GDz3I/uQyfVeJc3yQIe+ROxpa5Z3Wzc7r/XZBMeJXeChIIH8KhjWqV0cUODEMUy5o9TO/1iHyZLKoYJJAMlpRpo+8icWkYPKK5SXifnYZvIEYzCI5gMxxOTAMGUISFpBIWg9xlZiNbJJzQEde8MRB8t4JpVTpd5qiRLh2YJ1adjlkXSVnb8W7/1W2936ryg1NgY9idwWiFFB/fZ522SslIi5U/600hQwUVLCav0gSPnW5vGKVGugJkLPGyAgYn1T1St40Rvj0fQz5a49fiu/auBwG9AyY4dDaZkFsm8kbV3gcsnmr9mYBkdO7oqpaUsyjN9jlw3DXDdy/syXRxmsoN3WjauDLrb5d9MUqsQGA4KjpNKLs3LriPrMB5eqZFr42PjEeFc8KYPjqe895pDsYicyOndkXNt95jh5AwCz8ag7/q56Kix7z8lS8pvjL8BhpY9dZ6bHcd/5lwJlHO6VlmGROak0eQGywqw8fQaxwlwaDZ7EXNOSx2BBi/oxgKly9/XKXoK7MgKMcZ0CNCEjsZOp6x/5o+8ugY+teMlgLHnznHIGL9m3Cpr1VeMITrrN0De51r3/J23CPDGIVO8yhlrZxt8KMjvY4P27vm/ZA5tyYAMlH0l9psA15OTihcbUKrT1ABIQTz6tzRa3/Ffd9h1fPmLnr20sgRkTVlmnSz6vK2B5buhYsfZYG8DluXTAqUGltpPY8Uba6M3mtcpuY29nK4YP9BPdgzu+us9qmc7HU+vbYxkff9bzrFxzt4o34VJZhO+6Zu+6a1TuGvPgSbHMpij90CcDM3adCVwuvEI6k1uOO7TyZyZHS8jrAQa3+O/BiTXtx032Xaf9Wnn7X38u3JpOokutb525wGa9NG1/ZpSazJMj4+u69tKDDuv+KSBF079tcENppNbjkOPK594h/3w4A1e9TuZujiQzaxjXP2vXRnVp9p143Eu2WxCQV9Xmjnbt989sqnNo7xgpdF/5bTDRHZF978smWvTj8Wl+MAjnGSH1wfOlj1LxgeSLHVS4Y3uli2Dh//oYsETvGvJgJ368Yf52Hf+xq3WhEubEeR0ztGfI6rfLaFnG5xbG9yqKW2lyjYyaoKtcyrTupdlV3S+7Lnr4x8VN67ToL3j2OqL6T6RBJUX+RJYxnd3fXmrbciH95uYMR/FpfpMfuj0Jh7pGhjI4/U8Mm6YuptKfmRObZ0xrVkJxFOG5kHtJuFGBKugGsV13Wv8KQJOkImsUqSEGzG4mVmv69BWSenDXfNxo4ndVKEZ2l1jwrG1OTXCdWSMm9J7l0NbANT+if6OAQBIRnMNrQpo+7lzUKeoWQnj82y+bpOOcSugHUMFRCnInY9mDNCla5tvZNb16+zqy0DIouI1SLeVPy5vo2t/b0QSLZvJ3u9TrHZO9ezLOsC7hixOy7bwIB5xXiNwDWrgc3wt0r/57+N3uhakRtyc3uAMOeoc7rN1ki0Xdpz1KiJyBS8M0V4zhJywNQZk/ZY56+Mu7pwYr02j1nfPOVu/pgBnpGw0sL4pgW2EvXzOkAge4LunjGiDLPgMsPF5SrfyVbmuvqvse+c09JEkfTxM+1L9cXkYrSrbxtS+aeRrcwDsC5g1wEQvq5SorDOS7i2Kb3w7bmMZfQaW8UuDB5zFBgvKi330DBnZNYCkHSu4SrewBewBHpIhAoY8dkY2qJtnFBDI1KGn/rN3DVCU5gXE1S9XP1XPly/KAwUKlcMuu3A/sijg3CqeBlIu0DY3A179Hf81g4LGpfnVmXig+rtObSupStPO2ZM+7vgFWwuYrly4r3V0s80eryfLyqatTWdx6jgPQHrxjoDW1ZHmRVaMY0Z3Oc6GPDvXs5rRlLwJpJhnfC7gPJ5u0K9ZxK6HlqmejbRmEt/hcby/+97HffWxhjLeHOonp7ZAGmBfX4eJpg/ssdFgDf5SzVOQ3/ktD9Z5bVWL3yp36NJzrsxe2+7+bKR+6dOV37637LYBQf0u5un46tCym7DN9PXAv8BH2+W7ZuHoqi4H4SjuZaMzOrlZMo+egjm84+f1sZv4re1alkjYZIw9buUD3tprYyMvXdIBYwr6ecwWfhWQq5w0qbO2cVgmt36Zs42jQWk2ePPQTQ/Na7HTmqUttTuCV8WNAlSzP4KGNmsTbCTfdH8dfPz5VNloLL//Znz4tJlU+qr4bt+LaZ74j86FUbpLfgMwlYf+7vz17dpo5+BjgTbXJ893Q7QPPVNbQcY8Lxd701GOHYPBW2fAEBXhZLie7gM8tjWrdJVWHWDH+q0lc72/364SK8jQlwsqOVYFOhiSI9hzSr/22/uTE9Zx9LgCC8CxayQaALhjuGDJPRi4RkbLlCI0NoF4Ai6dH8qVQgMKLmNXwV+hct3rJHaNqtJHtfgt4y29O553ObVP5/V4CmvNGikOoOh0AZz+NjDSMSrNcV/zUqesfLKGnoyAfm5eWpZI4RcgNrChL3Uyyi8e0dKxGJuMW43r7gU4jh/3rqSnGb/uLGwzgif+x+cc+N3L+tr1wXw3EIAPAZgGz25EEm9WqfcFcDSSXp7kuNaYUOb6UcDSLFmBPBBoPWrnqrJbObk6o9/rXFyj49h93xwt+o4nug6+9zPHDGJ5pX0vn6nIGJgdENt/wErHU0e3DqJSJNUi3atBCRxjDmy2ZB79zLNdmC0NqXy3PItzK/ujb3XOGph40pkFNFePPNmA2h/9aJDlzr1j7jV6H+ATcOD83CyscdDzaMv20ukqPxpY87r61Py+JjPVZeapPFW9d2XSPVR2cUYvj2vGxjFRQYJH0cVxnkHLqZXNlY1un60Bq86vIyc7JJtcPaCMGM91Xtk28oWWbHd1Wvm8OKhrZ83t+mud5Y7r7rVoClxac1x9ce/LtjzRvX3Y5+mZZcgme9PbbBSc1/k25lbPde5vawCJbPrN/fHsdWrp3wbSizt3P/NOzzRwc/tRGak8anVqKyt1UBoU5WAt2LI5WYBw86caoPwoYGusrbrgrLr3dGFLlbtZHxrIWFpaUgcN1rXDtbGWV2U3W0JfHVdsDhuaB7zZYMV+3708DUFQdL8LMLaSCR+qZOj6Vsd1noy7lVutuLpzrjrnVshUN1d/erQl/dt3CQ7z0cAomnbZTH2du4HUH77BnD539/zqDzrG2GuLKu8qmAQSKkNP8qmPN9j/VBHbdjHariOQ+JE9p/ZOUrOBjVxPANvRDhSjiPyV+dqqkOt49r4lomv2e8srO1k1rE9KqKCzTqu28XYDDZ85FTei87Xadeb8VicDjQom1pQr/szP/MzL99Fg5T1lhjJva+9F5OrUFjD3fpwopUOAp93d9r2PcrADpvOUp3QjnSqJ9cHxhLLRe/QXocdr+/zlL3/57QYajUJXqIDvJ0F8v3OExwVnBtY5tMsaDsS731qdloIr48U33ViNImk5VUG3caB16WcHVfJRIKpUzLzVqOqfPnAkN64C0RpH5anAHUMmI7Bzd93x5+ZlOgEALW92N/I6+G1d6tCo5e61cvP9v/uI7DXogJ+Mj6GlH1QGXADeTJa5bACnzgP+qL4B6hxLV6BhAzOA5FNUsoC7+rD3v2XONUp+a7MRxOaIsVKFgSYXNNeYrTXLhV8EVBjwbcijBLhZVxmrvaxHbdWLjND6N+BgeYW52m/WsTdIRkegdfdiWNtyDaWjnYuuiV+5nixunexugMJ57tKSG4yrLscf1Q0FP5ePdr5y0sp89XYj+HWIGySQjbi6ECg0H45XVlZ56/m30ol96Biv80qPFchfulSubnCmx/hOhykBrhxc4LkxjQcFSPRvdmzXmYPbuVl55UqDrdf3Pt1O5kabOb/TPXNqt0OygK8Nlmx+suuvnztuuxhPN+7z+mJznvV7wR+8v3tY9iOjeWXQjsXrn13Ep2NtAEfm8FHpufvu8xe+8IW3tt0ylt17n2fPqu+Nbfdin+2eevGOgDY7vXusFPYrX/nKSx/3LijaAIh5V4aPl9GoY7igues4Za383yAmeW1Vm+tVZm+Qhc6rQ68/5emLPRxb/d0kQOVFH9yDTrNTNZw1/XSz4643uqoe6xg3J+NF+qtVhBuX68vcrllasXm3m3Y3E7M5kfHhzzneDSoLrsu8trS0WMp/+NZzw+2Wu51wu+xB4AnPyKyuSfLsHjuHjaH7VUWRk1t9tu/djPVWIq5NRibL6yNdq9y2+gqfqGDd/5sL61ZlntcfGGD3H92mR8hldb5Asrn/v97YBDikerfVpOXtK7fFOPAJW9xHPTZZgucFhMqPlYMmFvEq+13f0W7s8GXty4fu1PYzhVJFASgjglK0m3Vo7bnJ9qpCuIYYkd4OIArqyVHttW/ftft/HdeC12Zz9rqlai3fKaOZQP15imhXeV863+iW8ubrrO+1tTwrUVHag86lZaPsAgTG2fKRNdFJc22zHvPcqHKBRB81ohzqZsurkDsWdG+0qVkShl1pyJTt1i0PXDB+aFUDYcwF6TWObZcnRHsZo+7iC/TseqP7lK9yWsLakhh0RzNgFUBQfoEOXVNKad/Ag4jlmjLS8gUj8GRk63ST20b620Qv0bYO216UHqd2/dWfneeh66Kv5Rf8Xj4qmKFrrNUnpzuGs7zSNo+y4IwobUJ/4y59qsvK/8oArxMiqKHP17Fo1q08TelzJhjZXdd6qEaYKwN0C+DTwFbvh5/R7bXgGmNqTREn17W71m9NVL6GtQaSnttvm5+NR5YWuKU7Bp7sGkv2GkCoXq3OrVG2Fhh9mi2/kX3fGeP1aaDLZhgCe5ZyqLRpRtnYGoHeMR5jxDFsu6CGnDWKjqZo0WALHsOvjmmwhN7Gi9VhBTW1Y81o1/boPwcfffWn/IYejaw/BWHf1ehTtMG7/b/997++qgbhNAngPZXC4j28vWNlWTzrkmPfCqPxKh1MDujA7hmy6wzg7j5zZJt5wu9AOtrtODTgANDBA+/Kh9eXZpkELfeywQ+Q6foNDu37gLFxj26eBTnnUim/YBSsIyO5awDpdKr5aqC5rfPk2gtwef7kbPYe18GxrTOC1wRf6NGL4/qOjg30NdBzM8rX/jdI6H/H0G9kqgkVOqe8WyzThm/QTZ+vY63fnKgdN1xHZ5PJBrT1eX0TMOFkteJiL7qerZGR3Xn7Pl5pcFt/Bby6nwEdMR5fwFDgo0F487Pz9M1ceUTfXipE1na+teMCUcZsTXgrcOpboP9kZtdQBj180J3F0Zqto5M5dNU5u15xlja8N6wzWW5lajF2v5ujjWM2UiWcijMB3/VBUkiWHH5sJYIKj9qUPzyPkWxAvfOBn8uXdWh9Zjvhnut7mEs8fpsgCv9l82x5h7116D0Bt7uz90fq1N5okslaq8LG/LJvDGgNMMLUcPX/CxA7Se5zI2A99573NBZOZSe197kvY6uz1c/32F6r7X6vMu1vdWzrBBXkuNaidxN4QmIDCzQt8KvyLxi5Tm3nYN8BcmOt4gKOCB+e6BzqD0Nxx1rjdOlMOLsGYf+JeD2BRIqkvGDcDWC8Njd1FPSv/ZJhA7JEO2Xs8WmdD4rgBjvqOF8Hpdne8tma43ePKb9mHe/1GxEuvZslu7Je5V4aNdCwRhEqT98xDC+jeCPfaw023ABYZbqAHG3RGm+0JKtlhfQEfiigv5HA0qnOTJ258nwd5MpXx9AAkCgwQ0O29Ok6CeU392yQ5gbCbmu/Oka08xIZ1tp/IAYAvWN3rLHIOgtqyRo0CPjEU+aUYyt4VKe3MtgAUe0RoNTMO2Ak+l2DzZnpRieCdw381P4BIN098oKetgLlymz1vHvcObg2t47+BcU9r5H3S4vyUkEKhwkdWuXUdh3my/+XJ+/v19Y+8XDl6NISzzYQYKz3WLLWgJCySgCLfhnQ4sTu2gId9AC+tB52vysv3jWs+RMc4QwYG7mxUQ69JIB2gXZ5G0/KctSOVFeyGa0YcE+b+3RpUDfGM/e9XnmfI3Pnqa2BjwZch0nsbjqM0gqi2sPag8q9cV4ntHzHUatOah/Lt71Pg+LXxl593r60FfCTzdpevFnM9YRVe48dN4zDIXpyhvH5Xl0Lvdb13uaaDetu5ewJvl6rYzY+7i7fHb8gDodMpp1+vaW2xqeyjGNT+ffe4FltD11V+vlNcgBPzbm1bpicrnFyYYjSET2qc28TGB3NWm2nj02I4Ms64/Tzvf/O5dTSA2xpr+87vfSJVCGUl55wC97onNSpvefhuZuhvTz71MiVTDmsSre2dNwjwC4ffOhObYXdwArmGAMExcyNkq3dMrmW6lap1EgW9F6HkYPQPtZ5es2xXQMKynDXWeixJvuuPcAYaFNlfh3uXu9GH43vfjbG1ttj5hrbRV+V9S0SuoxEQZNrNUtQp8/8FOwDc2NAgLTrGTBqlXfn+2YIOzeXv5yDlnW00LK79nFGFoFrlL4KncO5xhkS8avDUZoXaGv4nYGnaEQ5RfIWVLCLYJ+bBqQwIPqEPlWczfz53AdeV8FwMqytpUTRrlHlRhq78+te3Rm1Tjfj7DNAgwcAZ/0A9GUNGEEOv7kpjcm3Oe2c6F+PVypnLpSF7rusA8M+Bal8ECho9hRfMRp10KrUy4tkvvMGBBtfDYjzbWNvzbFS7FYzdMxoay17wYp7Vjf23AY/GuTQ/L85sRGIjSmAj8rHeFrZmexRnXFAhmx5tjA5q4OKNpXTyhYa7RzP9DTH7RMa0onke/9zUPFX5UxJG8O/a1njx9hyVNDC/K8v5sqa8e6r0ADaUyDhOjcXmOtPI+oAVkFRg8dP+qrXISN4CG0byFR2h06NwtPP+uL/60BeuS5PVjZKj9ec3NccaJ83Jpsr7XeyS9badi0ZV6B4/ClL0oCXZ9iy87s2XWPt7H5fdn6ZRvwpYzrwvBJjm22tisTSDHyl2qSAlJMNzLbMW1nk7m05CD5uwJGzwV7LiAgqAZF7WgK6kZX9N5n47d/+7Zc+2AWZTG088JpM7WsAFk/hPTyzfnD417eVee83ANaxxZTWerJLdcpa7Xf5pLyg1LZOQHmXE+P7xTRPFXx1rOFO9sXccexgNK/KRAOsrkePFNMsU7sm0NQnK2h0rDHL0i6TaJ7hGHZMJZXyYgG/baSGx3a8CsEmTvCmXb9VBe7+NiTbfTfX3byyus96VHrDe5+aYd6tD/ZEBoHIypBkwjJ9CwTQzcPGSrbJws6ZfG53cTasAQjO9g1Yt8E0qg5u0qZOqLmmZ8pLAqPF2GRtMruxd/+UBiLx0/+Vx17ij6fATHmum8k1UdUAHlkXACnN6/M0MFUb4d501CpaxmObD5VcyuXpIWXa7woSfygbRTVy1EhG32vcGdMxzs4Fqqf4ayD7fC2Gu+UiVRzu/+Ss3gxM+91J3X0KBinAGnDHtwSumYY+0oMCrDNQo1hjXkf1GvQ6g2uuCbhQ/GMIALMBhvVpBnlMMiU4Z2/CsLIQjpcMg3tXwAqA3auCKUrowc2Of4pyFSRweErXRik7v2v4hiNHAQPg+75S65Uc20Guyqfz2MgeJ5SwUBA3su/4yz9osfuNrkooKarReW0KfbS3JbxXs4xXIbkOGcFXDX6UF23EZsMG1+rn0pPSQ3elTJVbjhdjZNyNanZTqj5Ko69G4ZrFHr0qX5fPn4Iva80MoDVDOHpNAZZGdmBX0m136B3n0QN1PDmpSq8LUhxDnptpbb/JQuXaPOFhJYQcJLSv8ax8uLcSV4/euGXSxlIZKnh4CuoxpN3gDDgha9VbKiToz7sTtHlZGVbXXjFsHv/QYMwNZAFlnH/vwDq5LQitw95sKt3c5/C2dMu5zZbtHsrhWurnfi0d3vgn591IDRCorq9RBgA7R7Vv+Ib+qyN+jXtto3vVpvb6pQ2n1j1bIeB7M0ydp/YXf3eceOAeXweost8MwQ2y3eqJNuvthivYqLtEo42sDnhaEuVRPDZ62v1mV+2QvHN2zR/4gR94W+a8tjnHGwNnXRLw/d///S9lwxvLyhJ33Z2779bc7TrDP7v2bASaNGhBp9MVAoOjlQCdfUs2BnsR4B3zcp0YfL+2/gG+68eO/exnP/vyiBJ2lu4FOtFkv9kE070ufwqO7d7dI2P6QSXZ+sAB3DjwqmAsPm7FTR3PBjNvH/CVRjbZ7+oRsl35de2r0/Fo9UxLfF3nYqLup3Cdo8pZk0bjxdEJlht/cijmsNmcSYNLGpQtLTgvghh7jB457Pru2ZqWfwtO7xzrwTee/bZr4N31e/1dsKK/Wzvrfzah2X+BarbFc1+7NpuNsPszXWAOdx27MW+c1o3X0ZcdnUO1e2zjsvEk+bAch80pbe3K3LZ7DnNbD7z7lsckHMioRxBJEJhDGKlzZr4sX3D8LZ+ub6AVL8IGWgMrzbg7v0m5Bu0bYK3uri3yvQlP99rY6ZEf/uEffu9bvuVb3upCyZB9F1zRnvDLh/ZInxp5CoJAttzUMwwbKTZhJhMjdoKaFboRsIKFC9YqwLfP2pMCvg5kAYRJvk5tS9Eo2QJxER9AuK2OXPt3Qc3t/wUXXadYOrV8atHiPT/LGgeKF7N23OhQJi4zFti5X/tbY9NyC+C7GYDSoo61e/m9c1UnF4/NuAuWFMw98UbBWO/h3gVQPffJ+FS4q5QZte5KeMuAqnzdsxEtwRFKuVmTtSoSyvU6vN1+3z3cVyCCgdNvjqdrdzMV/V0zLgpUxQIApj+MkXV5sgdV2ldR4anyZulcZ1pWFKCg/NG+DmEBvHM0ALzVDw3SPTm1N9peOqE1WjJIwCnwQC80qv+arO3eNkqia8zb5fUG/Yy5keKrX+gzRp+cVg8bU+WaIWSI8YiS4zqSzcZVd7bfBfDdMOrp8QENmNIxLT3tPaoX91lWtXaljjm5GK3ZpcuL1SvN4Fd+OgfXqRVQKX/p+7U/5OLO3dVJ1W33v/te3W7NZx2FWzFQ0FSQf20vHiiNypO3T7e/r+mFBjCqn6yHvaDuye7CHHfNuv8AZ3prMuuZrgIy1iHi3a6z3TUGjJXvzi4JeMiaarKxu64NpWofGpg1H0Df/ufsoUs3BWy58vpk74FWJHDWVM/0GdWjKd7oukdyYZ5ki8lj3y9flq/3XYCXjds956D18T5o3PM7/3U+uwSjvFOcU15Dj/tfda7fL2jvOHpOq07Ki5Xd2u7q7TrldG7twhzMOf8qiTi15u42Ov9ideMWZGCf8ZVH8uhTx8f2OpaD+A3f8A1ftYbbMdaOsxnVo3XGyE71MV3vXHNtx+Nb4VNZWBNInZzNqWU/bFzLuZxswEC1f2QPvzd726o3bf2SpW1F28Wbxorvy78CR3DM9VvWWh1a/ij+/79PJRbeM4Yn20BO0P4GLjm07ERlzLUrL7URPW4v++BMty47vsBC/ZLd334OrWL90J3aRg5qiC9QwVx1YAx6rzF6o5p9dIXIJOXqGtbiinzcTIR3IA/TFfQhcB2snkMpOq4C/eTUFghiiIIAArHx3qhZsxSlbZmiIMiYOwf6LoOD8RgqbZnMbQIhcoXOjXraqa1OU4MMVYpX8ZdGwD4e6XirFMxXI0N77zbnjC2Qa82ajccAkM4TWl0hKMD0OyXbbG6NwwWutzm3JaHXYXKfggzRZ/SXIRHgcQ3HUHZVpOVFUXOOnHFOectITsFfB0/rjqHo7xhlscA2Wg+AtHSXMSATjCU5M8c7bucqDb6tUVH0MuZdpyDknnPBR6OXnA3rNXad0USf3aNZdN+vk+ScBnLKXx0z3t951he7nzXXXX+DJs7tuMb3m9NFx2u0qovL8/rWgFcdweoWQN0zqMuvDUqSYaDGdWTCGT7gBz+skS2Zes8vLtDupnt9ZJiAXIFOAzT0uiqUyjQgCSjQK3Q+R6EbczhGlqAOXu0NeVDS2xIuvNCotzaAWl3cTAbeFcATyGFLyT55uPqpurD6Dn+Rl/bz2iJ8i354qMfi+fI/XmxlzwXrTwHUrvUDKukd470BZODIjqytvDEf5S3Xa8mcPrkePWs+VDfZTdgjr5QfuyZdvn4vQ8vuL9u5LO6uteN2HTSVBROsarVQgXQDw/pLbxSIAvFrdiilk8bDt8KCrWC3Wk4858kcqHRpcIku2dhUypC5y3uCeXsHyBtgdO7oAejirx138VuvTa97zFexXJ0jxxeTdHO+KzvFEJWv8vkNFK+1zLjPMTYvAhhaA0RdtmL+BaU3zs3JSoF3DUHiHYePSheB8AZ6b4XGeLmPxxPAXqaRrnU+eliL2uU3nLkFb1p9ZEd98ysAqny5OJJORy+6dMfQz2twTgOe5pqsuOac851nR2J9WLYbNuhzlvfCq8WgdNPV68Xia6PNZJ/NLB4iG5bl3EB58bS+Xb3rP7RAx5YBV9ev4eXSaI0M1D+id+iXBogaIGkwvw52fRTz1qBDgyrTG3aiXxBQwqO2vvh6OmjXk8x6wuO3feIP38dRc4yW9fu4fdw+bh+3j9vH7eP2cfv/Qvupn/qplzK3j9sfXfuY5n/07WOa/9G3j2n+R9+23n/June1590lPm4ft4/bx+3j9nH7uH3cPm4ft4/bx+3j9nH7/0B7X+XHSxWv/d2/+3ffptAtfF5bWnn16Uv1r0lZK5NRQtp1VmuSxMoB1VO3jK9lBS19us9BbXmi+ygjUlZgt841JQlNVCtruMnrrjF1H6UISgmUWGhd+9Z1FOuruvKN25om5WW7/som/vE//scv1/nMZz7z8r7SkB2/Bek/+IM/+HZXXWt71Nffmv+uhVprWcHTcT3GXN1S4luCrJzhqXxXGalyidJSazmf70+1/7eu/paft5Su6yK3rvjHfuzH3vu5n/u59z7/+c+/LYVracX6uc0N1v7RP/pHb0urlP9Zj+UdLxmXsbU8vOthbzle6d2x3HG3/KntlpPc1nnuXPRet6Sw12vpy71vZahyuqbM95Y82ym5JTn77e///b//8vlv/I2/8d6nP/3p9/76X//rL7tu2gzlqU/63rG/q8/li9fopLlOS7dcs+vLOifVS36nH/rsy66zrU6783/13l3H0r4qeevmPOZhZWErURv/f+lLX3p536YYdtH8B//gH7wti2zJdpdj9NprdI2dcp1zd2/2uWV71UFK77TKb39f63nVp6VL58QykaelCNXfnQtliS0VLg/jd2V87UPLELs2qTLxD//hP3z5vIon/33Xd33Xe5/85Cff+9znPvdiO23E0ueJomOX0JiLpzl7jb+vzr90e9JFl9de+60y8SRLV0e9prN6zZbVV7aVBt6lEr4r/ZuN/dt/+2+/lEeujcaj76c+9akXG7pSVxss2dBuv1me451NvcuWyqvVoZ2TLoN6Wv9+yxhbEnhpcnUA/ntNn5iLW4ZOHi9W6TlKTsvHlo+hsfXM/X/f/97f+3tvaT7e3pq5va88c2WvW4Np00pr5+iY6pCnx7Q84YbuF1A7dtfztVy+tL806rW77OvqdyX6zr964NoLJdV+Zw9bLo+Oyupbvj1+/vKXv/yiuz2X2WaOwy1o/nf+zt952eV3NMbPfQY8zAqzwDFKuS3lgPnv+shinou5rnxfe1hbd2leu9fvbcWS5vief/Vwl4mNrp2b7gcCk7eU1vI+O5tvo65dY5uT/tIv/dJbmttc6859N9/D48rFu88MOng5rvgMzXdtywHom/L1H8/SLzK11+x89zjhIzmuyzTs1wPr1heovbzryCs7lZsuJcTj+zx8Yg8N+4WQDaXW7NqOGYbBl//DTi3G6RpAzxaqU7vf7HzKIPSxF1XsXfPAkeXUUmg1ZF0fYSK67rALs02E80181ydZ49B1QYThCmp38aqiq/Dcib1ru8p0no8oOKDvxtTrCxzMAE94ZiT2TqmYjwpN+3/BzDW6T45sj6vzcJV3/+ua4gsM69SWljWwVyhc6/LhE/gqEG7/KeRv/dZvfXlNKdnZsWu87v03J9bovcupRSPHdE3E3jtHXe9zad3xvJ81A09A8WldJTrUOXzXvS4Irfw4vuveehy+QJ8+4qTBl26E0PtPJgZ4tnmAHR4LFrtm6PLea07ta7x9+aQy7fe7ju/yvL44vmuDKhPG3M2LXnNWO5Z7XK9b+tcINqBljdzu3U276BPH0D8FKHWQq1vKy+X/tTph12l90kHXyX3SSVqBfvmheyxcQ/oUnOx56Nq5vQC5oMgcu2fXPLnGmms1yNrxGPfeBzSmy8fve3Gu7AbZeS1QqQ6vbS3wfJKB15ymp/aaDi4tn5za6or+Xv305Cjc61aWiwM4tWQJcDOX1rTVUbzjt54Q4KPvPZLE/xys4obrFJbuZN5/laO+rsyXdhcjOaaOJz4r/1VHVt99LWzj9/an+kaQwFrPboq2RpYqb+hRvY/GXsOLNuYqjqtTe4MHrzm1/f7aGEuzjvldNvfazeoe+t46/uJUx9UB2Mv+JfvdelFrQ2svG7Shk2BsG5bdzZL0FV8LGqD7tXf43HpuOBzvezpJdX7n4ynIUB66uq/r9Ov8X91dnr/X1B8O5NX9r+kMz15nixvELG8LNLTPgqPo2s1Oy+dPOKt79NQ+6jtMeHWn/+AD9hYmsoN+aWZMfyJ6a/cbz+zFvrApzsdD+rRzPKP7BuO6zp8uuPpQ/69uMla/da0+p5X8sLeV6Sdb+qE90ofTVYJSRm5aYe8E9zybpFSIdZxi8D8BrxDb+KI7N7r2nBYTdw15owxd7NwMAEW899u3u0NaN1H5KsK+mcAd79l0JlR0zJj0n3BVURCkKZlF8wH+KugnB7WtzNv3tmsILuAwr5jMHD010UCO+rvuc+937/l+nbynfhOs0e47v/M7X+j867/+6y87LdqsBu2vYSfkt8/XGWs/AWO/9XpP1/x/265T8wRA+7mG/jVAyWCUFn0n0wWdFN0Frp3/AgKyeP9bW2R5WazxdxX9U7sgr0qvY39yGJ+MMp7uPRmk6pYC6ysDgAqaNNDV3bJv4IvesStld5HudQpiu0HazudozXhdIMhxZOTq1PZ6pVX1XasM+lglgLK81wDGna8nsHl1UoHBDU54NajiuAYmSpcbhNCuU6IvTwDtBujuZmHlvydnrgCvToBHMwiedXO4J/7sfL7Gw0/je01H3Dm6uvb96t3Xjns/v38tHdg+X2fmvsz/U1BkrUGfy489vmCzYP5uelXwDQBeuSeX17Fu0H6t51yg6h7dGOw1/uq4Soc6A5f+T/ay/xeIdvfTJ9m6c45mxXOVkwaX6M2r2y4/XJ2MVu73JMP3fOc43xj17f3wOr1xgw33t+JKdq00bnBPHyvbrfhrwGXfPeLp0twmZK0WeY3HGxCb/ei83YqZ9vVddL506/2Nv9Vyt3+vtSurT4GJKx/GIVvdarEnvVF6PgWSrv1x3JWrbrYKvzfRd4NvT/hs/8EOkn6ux4fg8Dr+T7wJYgjWeU68e2uVFbrFhqGetXvnsbakNLs4maNKJ7ovjOA6/Bg+kQ3lBBccb87eb/tATi2CIvBu6tmGsqUGYhcrbZ1vShkRHEMIN7g6lwbWnZGr5Fsy0P8ARNGxCtGOQbwCIBN3x0kIlYvod51i12a0KvxPwN7vdYjcu8pE9H6/TzD2ulGLCnFp9+SMlSHb5zrIvfb9/PRbjWM/V9BvZO86R8as/1eh9tgLYtdaDnQV6PhgWcC977lYlMVo6aHkd2x1Ti4wbGS8hto5Pa700adLww8CIF8Dd3dOnq75dO/X5uvp3AKSe50bZOG8UlqOfQJXaysJXNlx5eFGRZvh7f2qLAsaLvC9TkFpUl66u2j3vyryS4fqq4LF7p7YXY7rsNJxsqtAn6DenavKUvXPLRe+clO5usa//fJyPbyHtgBoy4xLm8uLBZD3mOugXaB2+3WN6eVt/NhIcefoOg9adV/p3+DjU9+emnl13h0Hh1b0vf1rq9P6pAOvHPf+T3bg0utdOujJYWk/Lv+0P3cer75+uofvt2+XPq/pvFtR1dagUGW+tOT4ymD5HX93Xmuve/3O1dOYbwCujtT9rzqtduUeZyz3WqVZHd87j/1+AbrxC7w8VUDca2t0bkFtsZYxXrm7/dQP/7MtpdFr+ua2KyOCD9ep6DGvja00ewqe6d+9d3UxLFIQ3125i2nKe8Uedy5cHw6FnUvnBnkavLlBmEu7S+sbrHzi9469PFZ9/2Szq6PZol4Lzevw1C4UCxhnHx9T36NZ9D72sHzHj3jCw5cv9EMlSattJKrWN4GJ6qbSGWZoMm3/9fnTLdX/X95U+niWreNgAvfp0z4axLiBl5uMvHNYPikmrt0rLYqF0NcYmjQrJvogdvf/VabWQHW4ZVIlGseywK5p5YKiOhBNcdc5uJHLJ+WLIJ7D5hrdXpsisfaPgF8AUGPFmW3Zx5q1EAS7KfZGeiuwBSNP4N5xmuc+7nrWXL2mxF9T5I7p5zoP91oXED/17wr2BRxXOC8QqbPY/lUwXlOqrxnB3qttc7aI1bKBW9/jgfej5aJDNypcA/IEup6CLh33Vaq9ns8tvbyG/CqLJ/rfOe283uveY67RejJITwD5zsOTIr59fO37bSurnzJ+13EXTHd+XivrveC/rXSoYREwoxuuQr00vnzc0nZGCVipU0uXuG9L0Bgyiv3Kl3H12b19nFeBePnuApLq1AvY+/mC3/5+dead7xuE+1rtyWG5PPakG25r/57A7D2mfFK6kPFrc96lb/1/HRB9EQgGSHqvp2s/0e5Jr75Lhzxd410g/knmnxy1p/n/IPe7MvQ0xvdDg6d51C4vX9D6mr66+r7Buqe5La1es7HX+dTnJwelsnj71Ps6tnjjXfag57Tvd0wciTo8l+bt46XhDcisVZaebMcT7nian9pe5712/lO7+uVepzR7ol/n6cruk97puVePX93T+/YYY34N5DfAqXm00L1WcWiTLU/yYFzlw6tvLma6dvryS6/rVbv1dI3SvOXaxVWlY/ls7f5vzF2+d5cvPF2vrXPRoDl/4JbyOk6/7qN9rq6FIW6Vzq0o2etP/sk/+YJ1W2p8A6PG2/73Gl9LH9/54VeVD6oPXrMPDSb2Vd/r+n4fiVM7BpqjtWatxBqCWKd6NxzY756fhhkbxTChnoNY4I/I3cjDdfzHMeXAUu59Xh3QBwA2w1siVzlYYL6+ey7ozrVJAgEAUpQ9d33CC6HfMN91KJ4cpzLTmHQ17jt/73NwjQGdGml8beOEJ0foGrR3OUJfqz2BiSscdR71v/S+QPOp7zVkNaxPxtF5m685TNtAYVuwb8OF0WnrN//zf/7Pb9eu3PE0e3z7VeNRZ6KKw7lVhteoPNH5/RjE3uO1477WtV6b11tye4/tmAruHH8VkIoHMqt/Hf8CDp6p24jdEx1doxFt8swRNDdV1jVir5XcMiDm57UKAI1Bcr0dP51RfmrJk81C6KMG9TyLbd+3cYL+tNy1BgkIoFsEDRlK51yatu/XsW4kukb1aV7JIZ33GvCrrqoMvQZGyd6TXrw6pjJaY9qA4VO/ShtjreFvZHwvtqd8cYHnlQW8ygY5di/lYSLpBW4t2SodL+89tc7xuxy1184tXZ6cg2aeLjC/rXNQOncsV8fffvSc9ukGRTuuJwC1+fNMx85R9alqrLXSv4BYRqfy4HPL8+t8XOehOqVLEC5/X7krVrglvY4pJuomd5c+dWrLL9cGdx+MymaxTKtMLj/1PtUxkh5d03l57Qlcl2fofUD4qdS2Nqxj6zEN1FSH7HX3KKkdKk07NnS4m/20D3UgLt2a1GHnrY90j5aB33Nd7/bjZvbg5joXr81BgznOu/jyBmaqI5tQuvP0ZFsql6W5czizkmXNRjZwXLtOr7aUtzTZa797nvCTniz+0DxjfK0bMHVTpu6FsD43g4pn+izoK6t8GjLTqpIdz9f4U3/qT73dFKr8i47uaa79XjmnW5oYvNUq5fmNX8nyxZ3Vba5jLlTe7vddwz4g1o2Xh57K/D8Up7YTj6AtP1vWS0cwjYcpA2lr+86RaO35rjNgu/8NmqEA7OoQV6EQ1BqAbupBILoIf80kugYm2w7EdvmrU2un5X3n4O56czjLDN2d2MJ9mdYCHRNeBdgJxCh7UPHuwUl+EvrreBAedLxK5glEVuE0cKBdx65g+8nJ7LXQ+kYme19KfLvNMcpojm+2E/SEFy1uvwt6CkrXPvvZz744s3hv19m98K6xvAbUngCssnny0HWL+K5gpoJ9I9+l8XVeS+f3G7l6Ao1PJZkFjPpVWbuASv88rB2ou/1/ivw+AZitpa3j+QRkmu0ky5vXvdulcP25m+ygWzcfoZsKcNpPuo6y7rqcK3OlXTeE8p81Iuvr+KwbR3VuKjOqQBxX4Fn6jHettbfmbddoOdUaI1oA1XGUnyqvxmSt743oXx6/oLeOYKPWBZKXP8u3NbLVU65bZ0C7Sz+ufnRsl7M4r7qkDnOXndBh1Y/XwSm/1qkdL+y/8VUj+AXF78rEuG7nqPz7BEo7160Qubx356F0ftLnPe46iO+3fa1jrxPT+2hP/XvKCqxVPq9zS+ZGI/stmEN81tJFQBVwtfnR3eW/c9Uyz7Urez2nssledIx1ovS11wWSG3zXj1YIoC0gXvs1mhRY3yDeuxwTuoPsVCegq/V3u++V5c43PmyVIFpUNxZ/3PZaYKWYof+VN/St/z3ZgF6jn6/zCmfeMTfrZX71wfpKjtzdVLT8098tw/N/5829vRoMvTSuDm2/G0S+c9Ng7z33SWf23J63l+WLa3UCOXx8AkmylhKjJb6v08RRdB9rO4shbaAkMH1pfjEEfLnr2kQXLZRAkwWySYYry2zBrlebUUxiieJefyqbyF6erQNfm6PflYeL0Z94v3uFOAbvou3+f9pkz/X1pUE6PmP9tw/SPpBTy9GsgjFRmAxzYLQ5hWOSgc0OivEgbC3d5dTe8joKjUK8DpZJuFEI2RvM3KjizhEd8b4GLNvO2051rtXrVHnV6eni7AKiMkdB9VWq+reXx/+UaTp+wAstCLEdHieQzfg0620eqmheAyh1wHr/KssnJ7ufq3hr4PznsUeEfUJrHm285REMrt2+Uvz6YCG9bPfW18q2j662FL/jbN87bsq2ToexVD7MaYH+BbEN6Fxgrx9VThd8PoHYp8DC5ZfbCpyaPahReQJXo2G3am/5yBMtX/vcdSEdV+9d2d9rcza9stcCT5ShHQC9XpvD6aUqcU5Xs2h+X0OXK3el0TVMe6lS2fvWcN+1+M7r3BaoPmX6SjtyP8e2jmgj+jVQnfM6SWvOf5L/G2HvXJWXO28FbDeA0/tcR/nyT/XMdXQuL91xPF1j7WYfOl5jMa5WE12n/PblgtzSkPG+u0WXD96lOzum3v/qv6fv5vyJxk/n3tfT/ctLly/fT3vSX+/q29rTnJYOT05t5+PpRc7IeO17bWX5Ch8Arztudqml5XVin2zl1cd1MJ76eME/p/EubYCjWsFSR4Rug5fcu/1gR59029WnT3NXR7cOfa91s8md38sDr/Fiz2+fypP9vzz8dO17D2N47birQ+55pUeDqvTPdTR9v3Zhrdm0y+Ol82tO4g1K6id6VcfXPhXXlbZ1Ou5cVCavjaydeNLBrtEAX3mxVVk3KOSa3akbrwnYtGqTTNbhK/3XVJU+4bSOBV6Q7Osmiy0Rrq272ciLA9iM7r7sHoJp9mj4n07g/srUE89cWbhyhBb1cUrzq3vd+0lWnwJ9e28gbZjcssAG9D8Sp9ZW0hgAYTl7U6J1QDaQgbi9yrSMBgYAFPa5z5XdOZih5RcEqgwNUHtVSAvwGCsLtI3FYwGaYXbsALPP3WmsUa2WoO58ZdqboDK9Z4ftngWrxnCBASbw7MIy1NMzNT3bzHgJ0bKb+rhrbExlOrtwNrPw5GwR0m48UAVnXq4zxPiWB/be9crA48onFgxhiK0ppkBHQyXZ7iHg4V6yYntf9IrQ71p7VuHu+Yu/+Isv1xFwabugo33uRmPK5dG/pRMNGtwsFdBTWaoy6rjqFFxDXeB8wW9/Kzhqq1FpVL8bBtRp7yYK5TfRY48SKB3fT8NnpXH73gzLXtMp28V6ju0CIPsuuicqSr9c51Cfdt6uzdis35MVVRGMz8bkvGb3rqPd3yxP2Gu8rJ8rd28gAE/LEuGHtq6pxQP6M9p7bmGrZ/BoKyOegD7aXsf3Ogrkq/xZPmz2qqD1bpp3jeWTU9vIbAHV+qly5wYAL7+3b600aL9vgKY0aUZobbyBhxqhvsC6mYELdNfQ0COWrlN77Urt3R3vrU7xe997vHZtTO9/r3Vp/dp9roPzBJ6e+nK/l7fvMXcM/f0JuLdVVm8Ar84VHoQR9s4+uEeB847l1M7WW882HTT90YqRnvPa+JuFqSN7++1d4F0QvsdxajtO9KHbCrJbaquPV+/WMem8P813ebdAv/ayjvoTX955Lq7we4NzDRxX91163zmobSxPfS17e1+Vk+K5iyVqS+wB8+TUVhfQp9Z9PtlWdL59RM9bOl67xYlynXuN6sbO0ZMDXZlzTMutr76/TlJ53f1hLZj3Bpp8bzkvGfbbHTcZsKP03R9I//dbl4u0NbPesuCud+WA7r/piM5XxwwDNysPO3feBM9Uk7XfnzhB5yvTl2dL9x5/g8zm7/LUWn0ZNC1P1M4bZ2WlTr+52/GeQf5+ceQLTd/3kWEWStwEE4gpRyWAA1qbiG3K89/+23/7qocFjzl0GlMjYMFAJxnY5AiYbIRbCZ7tqCsgGMLGUACgMrBOYEvsjHVjWSkygRhDYp5uHAX4Fiiiwx487p5zTvcfIamTgBHqIO9+A9g7b9eV+eag1/nbuQQCzTDc7/zO73wVaNoDuxuFauBg46UQfvAHf/Dl/P32W7/1Wy/98ewripWibSS2TrUy7v/0n/7T2/WGO58y2PGjDeHnYGP8nYPn+txP18c3AP/+2/XmuO/1X/7Lf3k5b/zxmc985uWZtRvbz/7sz77N+FqrbA7xRqPsDYaMHuZiTenZ3vUNADYuQo3OxqNEBQ2rjOyOqh+lcfn8ZvNqiLQaA69G8jmoHCTnNChUJ95cOmYNoFsgoZUFF7DcVuBBn5SP0H7O4eb0i1/84tuy8T0MnRMpCOI6PX/nouP6tvPX//E052dzuJ2Y92D16Zsa3z7OrAColQZow8lfv6b/9vqv//W/vveVr3zlbV97Poe2Dnx5r/NfI7prbfxka7pmumI0QA/yecGduSY7xt9INZ5ca8lheZIO6bHXWbxz6/5AhwCgyp3KAFmsrF8gdOW2jnLHg96NAlcv1mEwT/ee+kZfs4GARx2zAhF04Ug0K9CKJ3zfdb360O9+w0eV84KO+/k1WbxgrdcrsGhGocC3nxvV72dNH1q5BAtU997zep+eJzj02timJ4Ak5xQw3v7izZY5qu7pkilBTI+Im07By9a2AcO1kzewcoOW5elmkdk2/LF7D2ew1/Y0EaS8+oX98djDfZ9enL6wDq/O/Vod2laQmKsb8GhzjS4FqZPXgBv9Cg/Sgf398uV9GSdnoTqi+qo67DVb2WBOg036Xh3U9xuIuI5tnS9jKo3ZTVjQPNHpfarHpXmD53VWG0gwlrVW76lGKR7WV+Xhjqvjd2W/vIvWDWi0DLhOLXvTPva6vrf/nUNNRR95Jedkl+zTu/Bo9frV23S2HevbNi9obPnBLRNu8qKy8ZQ0qqy4Nr7oks3K1vUhPvGG5s1ulyfMj/ku3q5+av/w/NXP5q3jcm7npZW5t9K22AZm8Wzd+S5X9j/03Y8RnOJs1K5OrY73+Y1PCqKRqpYAY9z9x/AUnCGYCX7K9tRxohDG3HNK7mQ1mkkwrKWtAlZe1AyNxeoipHuneAbCRW92XwakoNXalds8FH7jniFaf2Y4rfWzlpdR67ysMWjmhICvHxrjLAu9Y2WO1tf9vkzvrtUH1g+kUzQtjWj0r6WW5qIOhuN2P4K1vjVrOYDA+ZvDIbOO7uVDtGAEAJm9dt1f/uVffik/3lwsENLoblsdK+OogQMmrOFUTr/7K4Pl8D4pNhlNzvoAkGeMXQVTsFNQ+hqQ1ccqf8fIXnsxpusvmcW7+tCsxZot40c/xo686DMeKihp326rLHRsBWWbvwXJFqSQ8ay+ocDJ0j5PVlxnPEcnjDcAuwZ3VJuoqBjv4aNm1QpUqkc6RtUr69v6IRByl0DIuNQw3M3H6lwXCAou7N6/+7u/+/be9j64wZkbPGiWdk3AjUzcwERBebMwBTcXxGkMomPoV3K03zl7l6591SFyTB2d6v/qmAYgmqHz3mAZh0Ffu8aqoLVjNecFq6Vt5/NuHgJAF3g08NFrAPwtNXvNmes9r4NbB+rp3bEFln01k1IdfAFIbfN1Zq4cFeT0/wLXp3G2T15t9FPloc6JAB3639JGerJyiy/IJp1qD4idP13COWgwu+0GJi5P1yEpWHe/6nR6sA4Vfm4Wab+1quPamGKpW4lSh62vJ6d2DTa42Znr1BrzXgXEzbCVTk88ySEuD5vzG3C6OqaBuDrRrmMtJbqQ846pzlidsid+rQ6q3tDX6gJz0qD2U+AQvmjgU1/r7BkTu34DGWseeclpqfMroXWDhtUf5cFW7Bj3TYIIDD4FHXteAyruWYdXxVblha2Bu82b/jcTWh1GT3bc16ktLmhyp3qmvIa/66D2WnXwXKNB45bqNvBS2/iJZP1vsLd65gZ5nhzZ8mxflQ2t8+/eDX4YN3zSQEJ5pW06beeuMu8jdWplCtc4feuQiKWa6BrwC7SfiHQjwo6/ZXQF3a7fevMqtAodBS9yS0H3cUOMlWjtGuZsJLAKsBF9SgMzzam1WRRn2msgjnPW9cPazpFJUsa4d9cb4N79OFDN2opC26hrDgFAbRzoYpdlpRH+232W/fGsXP+N5hyKHcfxRjsGQOkWRwKtW6bnN/dsBHLfdw0KYH1Zn2TjKC1OuO/GsnGNNpsD2WZZ9TnqE5QLPAuQCKaNwQpg0bcl+QVFo3n5p0bAbnUU5cboGWPKSm4GXN/wfR2IGj80pNSdt//Xp726zn303/fRh0PUe+9/G0Jx8vYInjm15Nqcu68AzK5/DcHNRqzdiGX7zOneXM1xW+RuAZVmme8Du9FoFQnGMbnZfy3PvYYDLfbaONHPnDWrUmfzaSwMbOW2JVF3J+QCEoa1zk7pY40PPbnrbqx4VGWH85+cWvdoMKE8dNd8Gm+zIL0m2tSoV57u3Ou33SaBHlUcNYwF09dW0HXmpa36hOOlpIkt8LKXg8BYabG508eC0GYt9mq5Z4HFbY3mG0sdXJkE/ek1zEN32nSfghTtOofVYY6tbu97nfjr0DTzQweg5XUsSyOA9i7JaN8L4H3Xnzu/T872dWpbTXGBHz7gbHICOv+uu1beqDO8d9kgNOgSgFbudG6uU9sAU521OkCChrtfndrpmVaQ1R6xNWxI5bp2Cuimd26goHb7azm1u7ZnZjaw4TrVn5VveM5xNxh3cWP7dPWZ8dQBKN/3ONd6zanVFxlFwWxjwv8NmNWBv3xaTFqHE8/3OPetLFw+b0Cy/+NBFZLle9ip/LLzVATWMXEP6zf3Ut1zA1EN7nU9qrHUQatTXz3TzCCatnJMn2APWKUBKTZ37/p67WLl+DrkeMBY4Uft6qnq0L6K1czlE12KR3y+z81+0hfl608c23MDDj3WcdWLdcBrL2rHb3ZWqwPd842FrqxD3CCWz8Y9XNog/4fq1O5G0vlKFYE2QK0C3qiH8tLuJIYYe9QKQz6wWmPZ6/HYOcocvmXe1JW7tslsudEFciNWBaPKw71lDmy2hLnWgLHeZ22Av2vLOiFb+4cOHMMqYLTSrAVddmq/77rf9m3f9lIaufOUXzJsfXA8cGZtDWZqRNaLMt160z1eZeftur/927/9cs7KSX/oh37opQ/rI+Ww8ey3lWty7hjW9Wnzub42O6lMq6UvgACn4wqq47Z78fq4jO3uAQBz0DZmSm3zsHvPEZYxXxnoF77whZd7rAx5Y9x5N/q146vgx3vjU6XX3VZ9fdl/cyT2n/We5ptyZUR2TRtTcWjsjj2n1jNbfR6PK0M2dzfCdkt10LJAc/fZ+Dmca+uzsqP/+B//48sxm2vjF0zYeHaN7/iO73jvc5/73Mt4q9wLKAC4BRDmaC2rujngcMnKFQQV7N0g12i18tp//+///Us/xjuVkWaGdt8dI5vPQOHZggayjS9rQAp09v/mwk7Z5qDR1D6KTGk+R1tWZTRtOXkdBjQ0pxxq81jDgHZ7tykWh4qeUIlQo8oo3zlriTxjA5CbU/Tsmi3XIC91QK8Tjc+Nz/j3rupEUIGeKxjAE3WifG+prtcN5jhGxrxrrZSJ3+f8KpWyP4IsVzPtAgvGRL5bQlYnpuCi66zQ+o7lBjTwjHEXtHu5ru90JB5wTB0qFRd1ZNyvWZ67+ZB+s9/dI6EZ8YKYzpMlG909/mYxzEUdsas/rqNwGx3RahJ2r9erDBSo7l1wrk5k19s6XunceMqSLCWjypBd35iNoWO8882WTx+Oh1UECZa1FLk6o/NdugvIwAvwXfc7uU5KZYrjzq7dDP3Onx5b8JgNq82qUwvLCJ6OLnCcrHIDE62wKL3WrvPnnuRBmbU+uv9+awl2ZZFTaw7WN1Um6zf8if/RpNdmJ3bd0UUfOJu7FvvSseLN9X33tQTnqdHxDebRYYIgaAkf0CUwuiA+m6bv9B6egYuV2UuykJc6ns00CsYJDPTanG4Ypo7uGvp375j9h2/g7SbCnL8+TlZcv0kKDjZZfMIiO25yXdx/W+XXWFVmtrQYrrfsrDauOr/BgtpCa4DxR+n89W/63iq96sCOq329Y25QpDLbbHlx6A2y1Pbe7Lsx3moDfEF/7fOf+TN/5uWcX/u1X3vvQ3dqATTrChETI9qJqw6l3zcJjeq1ZI3BMFGMRsHTBXQ7ztq9OS7d7rrMAMxiOIpq5xLaRhBrxEw4xhwwn5Oxc3buMp+MSJlLxki/qzRMKuUGlNbQVUkrR50wWl87p3PN44aULnL0CUlL6CxQR79mSgUpJrDf/d3f/TJGTuCcvh07h+dbvuVbvkowu9FJy+F2Xf3YMWPK8cUcqr1Pce/Ylrc0UwJ8NZq1z6PVxn8zFIAbYyxgsfvs88bDAZtDvHWNHIIajAqj+VxjoHbN9XlGZeMFJmQDOe63/IeAkps15ReUwxyQGYeNbwEC0e01gSTrPi7o8V6Z7LUb0ecw7H425UJjTq3dein63XeOoqAJhWzTHq+WIo9vFtDYedZoWztMLu/malWc6D6emVO8Zws3eNPMFh1T0I53Cu6VGa1Zb87wAP7W15iPvcv4390PPZ6rfLf/Oc8NgFHQ3UirDmMj7A1I3Y1eWgZ+xwuoW2dLZuogNrpaPvE/hwQ/kbUXY/Gm/925t7R9isjSy9Xd/q9TVYPK0F3DR0/c4A1adZ0UmSk/A0Pd3KwOMr62iRMdxJnBb8AS/tea7bll3ZXXgnl6WiAOnZ3b7IE5K3Cjm9yvAK3BWPPFsWrw0zw4BjhqFokNQ08gmc7WJzw1GhfUPgVx2H0yUccWZigQfsqklIeLL24GC6808MJhN3foRwfgVUE/oKzLHuy6XiAtcNY1ffS3dXnWj9f21w65tyBJx1oHBR6rU+ka6IueXeKy+9fJq60qRinwLS83i/ZaMGFjbVC2gQS8TRb3X6ub2G020Bzgs5Ze1x7WJlSvdh+Ljd//7wqWNFu4vs3eW+qyFx5YIBGdjKM637UaLLrLS9jpLltqsJqNs/+HcdXpojs4i/iVbmD/yCbM1exnNzh8kjFz3qC+5Uijrz1nyoPVYxwWer3BJvqa/vR0ggYYBCCH7eh8gdDqwzrj5mZ0a1Ct2KBBDzJ/s8+cybt8oFlVDQ6objN+37tRaHVQndjeu/SkI67uWnuyr8WJazdQvnaPXcPLa+bMfDQIVz5pn+8GdsWL+tm+dZz6Bfe/3/aBnFpRpK4vBOoYyi5sblRUFLsRhUb5Cu5MiDWpa+7HeIjwc/Ram16l1hKHNf0Ezm/Epv0t8+8ec54Xdbzllc2c1BA1+uGY0cozWNdq5PSj/d3/6MCJn/Mp26CkUlCgi9bX6hyWUTi7jNfa+jAHdEB+v3t26JyTgWQbVq1PFQpz2IxRM+czTp6jicaEpYoNP7Q0V1SLASpAxmd4pUoBfTjr5nvzt6wfwG5+bhQLbQpoBDAYDUZojpex2Siqxl6/Llgn2KJRaLvPNYY1UDfoob+333VwGcrxHWfL9etYoYdocyN+gIT+MlIFAeZ1v43+Aguiq+ZIJLmt36s/RtsFjxY4UBFCZpsJNJ7rWCmLJ9OMZvmlzpdgDb3CYBdUd7w3uFLH9P7HUHIeGhy6TjPAKpLOOPQZejVmNSQCMBx3pfqlV3kLTa4TA4j7r9ncyiL6uz8e32+AdPXP1fXmgE7xG6Ncg3gNZDOILWNueeZ4EAiVbQGAaiO806V4zDXRrE5mg4M12Hix/NJmLjhW3dCkgKbONHlt5rTl9712MwKjBZtnbEBoHVnz3ODSdWrrVAkW1KnFlw3gVjc1e8RWAqs2qMNf3TyvgZRmX2p77+erI1WfmMfbH/OB7uavSycagJ0s7lgb1tVRHm2MrcHjvU8muuPwLUnuPJT/zXWz4fRCAwj6Tc9x5GbXOdaWE8E3zdzR+fqMPg2Ild4F3W27D5tGloyHXMmcsY8Cxa7XtZvObWZ6TnDnmpzAmPSrapv1ZfSi66vXapOvfjTfu/d0647124KuTR7Qy+5PJ1TvX0eEbsM7+LGZLZi3coEmWjPfDQKgTQPK9EYd2FbQkX86oNfEs/DC+sRmNTB19SseugHxOtL6J2BhDhrMEUxqULN60XiLEevg0nn1D5ohLQ/1Os3mVt/2GNe9m8ShRR3gJxl6kiU88HTs5aWLgxxTB7KBxfoLvXeDKmhhfvgvdUzRvuMzRw2A9R53rNd5Z29vyfeH5tT++q//+osyXPmrx+usvHIMNoUxML73lilxLvooHAQmVNZlVqj2P+FtFkS5zbKVlHWzWkqdLgjpf645J/VmAzqhNWoe+TOA7boMgokiKIwgY9zH8fze7/3eW0doL1GIlbCujFr5hrZxbnxzKpcpVsoja2W9KQOy/wj5FD6nuM4uJdgI5NrmjsISUVrftrnS+r30/zd/8ze/OKlAosi9edu9Ni6Ad993/Maxa7n/+gYQNVuz+3pkD/C1z5S1SKmofsEX53av3Q/o2vHOtx6cU7sgwSKtXYQu4zP6KoGq0DJAFO8v/dIvvdBnGVYl0TIYDXAw5Popije5WWm39czeKVElTuM9/dGnKolG8Bg80W+l1y23s8lVKyzGJ5NZYEjQZXRqqeG7FPB+u5nhrnve3OBXrcCdblh/p3NG243dtXbu+nOzo/i1a3zqQJMLsk7Z0gsF1DK10xGu5zh03fjIAH2w5tnWLU2UKdk9du3106Om0Flga/0mH4w4XlYtwKnouieOze6349D9Rs01Bkughn4Qvd8YBbYqZzXEgHB3f+eYKcNUXmrTuTotLb9t5qr80AAomQLuAaDRa/zCMQZ669iqzHFNfC2AcdeGsT9rzZg30NX/0BStHVsZaVCjfOSxcV3biH/r/KNDywYLhJ9s18ZOLyr33Vxs3PQoe06nNijWJQz3c3V4s+jVR3XM9Kvy5jgBB6BzY2qgqNlnTqO5dL1Lb03/2FfyL4vF3rXipnZQvwF12GX2eAE39lzQSQCF7E4eJwv7z+P1dg1zcJ1adki/ZaPoVNe2uV91cWVcYGN6zKPKLG2p7eg6f3q6axHJNLlnR/Hbky3YOKfrN+4uicLjqpz02aZaLa3vfiz6NCeytsbmWIKWde77KD/4SPZ4v6uWc3/BztqI3XPzN6zr0Wxo7wkIfRTlDWiikf0oVAE0Q1+9WpmrzljbGLrfQ5MC5hs9G0hybMu2VYg0IKJihJ5F4+4/0SV9aN5NLlsNUBkio3XC6tTqI1py8mF+uII8tUICvTjpdaDrxAokTQ7QrbYGjr+tGP86WA3GGpsKmS6t0Bf0tpGmqgnz5fMNQjsfnngKJn398XtugNV/5qEBhZuc01evOsQwgmvjMxgJPV3DeGojGti+jm75dw39PnSndp3YWro5YF/60pdeMniyjhiBE0sh1pHADBsYZt87hcSI77oySy1zaGZ2ymXOyO79jd/4jW/XZSFAgQAHwy6bslXNNjaqJBMtQiDCaYOcEXvX/M3f/M2X85Qb1Rh4XIgM7+imVHr/7bX+M5B2dAWmtZ23vuxd+bPHjoi67XyR5TVKa/2cEhQtQgeMvNZx7r85aDtWZhUdZac9Voky37XWF+tmzeOcxL3mjOzY/b/rKt9lGAAkjmSjQY3AAjOipKOxR64YR4EvoW/ZCjCNZ3f8AjSEbfOJfoCyEiilzASxmfXR7pu+6ZtenNNPf/rTL/QerXfuSp0BpxtRNz/f+Z3f+XZN8vpRgLNrAa27ZsviXouQow9ak0MlHGjUde37XyS7peMU8n7jxM+4by7Gz3VuOc+b9zmigLZrtXTvluu0Afq7xjaGUvq8vpCh8Rx+AzZtINYdpDfHBR1VvviLbsG7DKkMRtfhNoJdp7YRT+Bz9BitAAK6RPZXpQi6NCt3A2oe5zCe6lq6yYPxyfACI4I5ggc19OYMgMLLAAKZAmbNYekASPhcA9hSV7rXEgoRbE4fPhPlbZlpI8TsRgF4113R/wWQZEU/BYmULlrbNofEmI136/fpu/GhzEzXyVtjW8eCzasjWj0mCww0y8gXkNfZc90CFJF/QVVrAc0p2RKM6dIH1yvwaKVNA7U3S9jnt5NtdsgcNKhWoIS+aIS/m63XmrHXX/NOlun1Oruc1gL90t74LP8o9tAHjgHZtPcGvsCP64NKlGa0jRX44wDh19mJLkO4GSL3BkzxQe1SHdsCTvNQAC9IdjN8DRg8Oav7zZKXypq5aPbrySmf3qHr6B1ywmlh92XHmzE1XmPrfOnHjpcJq866mWYYw34O1VP3sXm1q80SykQK4psD1yEHxbadU3qumX/6oXq/waBdn4yMLpzz2W4Y85aIdj7JMefVva4uaCt94IibqW1Sh20WGIeVd75g2o4nm9UFrfDBv+5LrvgTZE2QgR4iB63eaNVN97Wgs1SX0setxGo1AR3QLPetAql+YWMsZ2IbG0ynP/RzmKkOrDmESdy7jmyzvs26/k9ZFtRKI9etXvcSHN91OP+lewPErofe7S9ecn99IKvFSBJgrWy7CRrjaYXN+2kfyKkVfQD6AG1R6ZbHKCFphxnLRrRa+us6BkChKfcEvAdYOAkcRMqiTGCCCH3LE+rQOqZG2PmYHuOLcLRkiyCbFGOnREUvZEvXGjnbNfffnr05cHUzWGuyl6I6A7euM9DfyIY5KPM3+l7nrw7k+rq1iwPei7Lqh6gYELHPNioYXWSe3Aeo2LEbj6yVCLu1KXXyzK8xAVkMCqUu80hIPIQaj1DIgM4tN+u6343Dhlv778d+7Mfe0h2NCFSjxgwhoVywgZNbQCHLXKe2gBwYlq1r2XmVAMA0momwF5C6X8+llJSWt1y3jnUVjuvpC4Mk0793GeNGLtdk3wf4N+fWY+EJc1HA9NTKw7IS5nP8uODOXkq064SYlwKEZtRVE9xSPcaKMt53xlwlRINz+KI8jHYyKnVsAZ2urXFs+cyad/PNEPbB8CK/jPJek8VGo+uMVLZuprZA4vI9eTOuOiANQDbi32CmKprpkUZnyYJ5pmMBwzpqbeguuNLMv//Qi61qcMC8kmGBS043nV0nSuBg57J15rtAog4poNE5xh9rnH1zhX69nmtcx7agrTxXW3GdX9/LFzfQhy7moLqnQB9/1O49Rf+rg/S7vHYdXHNTeS4mKPhdKz1ru9G3jplWPvCqk9Q1dA3YrMnwO67rO8191xh33XvliYxOJ8ga6ltfnb9mgFoKe5cmmF+6DS04J82A1pH3uvqiTksxQ8dUh6RZIU1W0tIw13SPBgP1ozbQbxfQzgaSQ/NaZ6ZjqBwUv1RvV84uT9JT+N53NreOBvq34qc0brVBK0J6vmvCcMUfbLMnVdxAUGXiym6ztHVAOqY68JzY0rLBYLRtRtu1ywf2LamjB1PAGLVNrtHsH7siiGAOyWiXpDTxAFc36ImO3bytNOCP3LG8FoBHR3zEqaWDuvEVWm0O9Yn9IAfuBT/6fJ3U4p3q6//5OOdPwbL6YE00XAzendXpHbyj3P7qTvPW4ErtRelVnFI713Hecz90p1bkzcJ42T0Mbo0pIrSsRuSBcpUJsUYAAyuhK9hp9HF92GugdqWJMxB7xAcGuKVhu4cNiWrMB1Y4bfvNs1H1s9neKh5ReqBbpFFms8BXRI8ArYmw7VrO32+f+cxn3vvJn/zJtyWh2vq5+1tLO0O4a2/8SuaUYnFkOAMFQHuvE1nlNXoob9xuxysJ2vW3MdTosSyFTZ6UG49eSvfm1DVTvt9kpP7ZP/tnL/zCUVauLjJUJVkFSgH5vZvvAJzrxzJ2Shz7UPpmfDhuu9aus+PXh/VFlvTbv/3b3/sn/+SfvPTfXO9dhN25DDljtr7t3jtORF7Jpn5QLOUlm4zgAyChBsGcccjQHK8XaNZh4RQBWUo3jKnBjG7OVYeTwrkAaAGUnbM5neypKhBJxXuM895l2ArYC960At9m7wWUxo9zaJXS3euY480B3uGEqxxoaxZp70pkrSnnjKIzY8SQNvq9JmBgrvBYM0kc7WbG9GHyvGtO1jZehmZy4/qyUcqVlUd3jqw3qmNVUK3hOfrs8v6NuLoPYFKZl7mwEZPy6mU7p09kl4BOpXt4YjSv88yWCDDQ/5a3iL4DX2tA+44dbTpmL+XYlh7UiW3GZNdZv1ctgA+92L06GfSRLDRZJsMaOnKm6eEbSK3e0L+rszuXrX5qJqHy0QxQ+wRocWAaDK3T2mBHZRW/yBbXQaJjGsRtZrFjFqQB1u6+CuQFwEUfWWjBTzLadmnLvrSKgr5aPz3HfZ+tnW0ZpXvri0eidVlOq6fo1H1fJZpNAft7wTxaV6f3XpMnWErgnHPhesVbxT+cuc6R+RG8paebxXQPGK/BBzaozRg5Nu5Lfvcue2z+YUZZvwvId53pvC7BMJZmkqvjyFn531joG1m2mxSpPqyOlWmvQ+hedUI4t7dclF6qI+C/0Q1v1rFc2z3p/dcc2pvFFjzotYodzL81wxweOBR+aGWOsQqu7NjNB93IfquEYTvslmxHYKX9HHnyDD+rhoIrVFs2MMGRNGd0xV6eRFLcY5PXjZWPge+LPzlsaGVenxyszqe+KJlu0qH6AJ0a5O27fuOROo90ZavS8PIfSzVJK57sj7HrFytbwuAzO2kjWnphv+kTO6pPHNkGH28iie1vNUx1kGvgiRug/Uic2kZBWlqGuQYaVwqsRMwOqwirXHVMXYBfR7RZiX23EQBjyIGb0yUztLZ77/rWUxI4v3MMPILGhj6EvAScwFHG19i0FGW/d7OgjZfy2tpTmwig0fo9IOUxMtYcoxcl1vKUlXlvrBPOMhDhHS33W8v/OFgiUpR3NyNBX8zMiaeo18fRS985ls5XftpHwuCRHevxR9///d//0p/trMsp0J9G9W8WibPFedhYKc/dFwjj4A6A2lTCPAEpLfPa+Zub3W9Z6c31HOOuk8DncyYoNYaMQuDs7b9mCmSnmyGv4eoGF3YI/vEf//EX3pnDRvCb9ZoDqeza+iC7PYtaNhK7+wBpex/PNzJdXmcsKJodN5kBmNdvPEaxdKMO1Qcie+jQxzdQ6gC91s1ttGZY1hdO5uZiJd6b+/XHc1g3pj4KYr8BO+vn6Dve8M6g7jpKswUmym8L1ABjrT5Rutpy5kYcORwzmqM7B4tiZ+ybId/xO3Zr1kWw11+8aP3jxrwADHnd3FYvmJNdc8bIer01QKZrU8zLzWw0OyB7zAkCYnfP0a+AzNwpv59DKAiCLvRj5bH7Iew6aFCnynsz7UqIAUl0ph+b2SuoZkQvAL4gfY3MCgC0VI39U0pdJ3XjBjzaCnALrhuB51SYG0AOwBAUfgrIKP1rBUX1k3n1O6eua3mbFTAfzRwDlOQXMCsoI5OVFbxfJ640Ist4U7mmkkt84Xw8Yh6apVRqqHVMzQ7WiRakUHlwM4yCkc08N8thJ3mPsrNXhXnVx2ECtnP9lLHV6kQ2OOl514B+EwT0TwMSlnbZsG/2pgE2wZX1u7Iy+4Un18+ux35ycF8DnHaOhzUaCKkDiOfryAoK07t068YqQGauOEj0iL0H7GHQ7Dr8KihoZ/vyOF7Gbze7isc7Vw0CsYfrw2jeIBNHZJgDrza7Rj4bFMYH5HPnD+NaV3sf7yOwc2ncjFuDT6On33ZPtgZ/kWFyJsNITuki9+Xojo9mt3e8pSAwDHxtiU8z2/Q1fYcH9l3whf/QqjmOK/2DZuhqjevGN94QhPI0C5VU1WN13HzufOIB/xkDW0z24Uj0ahWhOcfvfKFWYFx+w5sNou71v75Z3iMoXjo1uNGqjcqS6lfzfO+pwX2tPqAjqmMFkAVC0bZ4Ae/QJRz6NX3+yDK1APeYgMFqJ3fjRZAYB9mUtS6ktw6VQWjWac0272tK3oC4TZp7jbAiSo14DFAwYDMuLQ8DZHZd0UZCdhlmnxlZykoktlmCZkg5XSI3wDfFIKKt5FR/GFHASRutB7BFYdGlALxl1VUqGJmRBgJ3zUY797voVgGqOaJw1nfllAwdY73WjDZQsueazogDA8pQZLQaWCBAVeKicHZtVDJsbeXaaDxe2PXKp5Rlo2TAr+oAYKGZC2D7OqaAsShWI7o3qk7Z+k6hO5/C3DiXCV+1wX32KjpMmVvDvJcslMCN8nCR1P3OoJM/fa9iwSsMVpcCdKMTcghQUsAifFWUjEo3lmhW5gIPrZkwbedtXveaw2/Nbzcd6f3WH5u12NhjL7vfep7gzh3PCLQx6q6Hp5u1WGupYTOEAlQ1wPQDZY6/8Caarh+A2vpqjJ4PLXg4Xsc3c2SVg8uKA8ZkS4CQHiNfje4bY7NnQF8Bnjmhv4y5horcurcx9phGwV0XyGrJMboDuviIIwPc0nmy3tdA3sz/zaoUaF/D2WxeI9WySypGGtAA2ND88skaAFB+B4rJSDMhArnjX2CjoKvAs+Mlr6o6Oufo1OxFdTi912AcHWau8ZTlDWutYmgZrvPQUJkb+2RDqPKrvrmW4EE3CASa6N7e5wLPm6X1KuDyqBN9pNvInf86Dw0ms29XNkrrW9FSB/k6hw0+VL+Xb6s/8W9l2D17L/2jW2w+6Tv6kVf7FNxspWv11cZZrM5AK9duJZCN9cwdsN11yQKR7DPdgd/Nr/EVm/baMFid2ZY94s/yF1nAF9WR1W1rMp/rnw0MF9jnUM+pZXPgAAEaNtI8NsDm925q1db5aaabHRbIojfgBbizdJQcaVCqjh6aFW+VB2AE9pYz3KqMVnewQRtb992A09jQ/d7qL+u+6aPqlQWBjYEd0d8Gw5rFNpdXzqpzLs3xAn5H12YtG/hwfHkT7+gDHSKw6f7kGhaxFMm9//sbPeU7vmpwzlj1kx3tuJ179argeJ3i/WZdNZlWcdHs8ZO9rf0rD/e/y+cfmlMr2jOnkTO1ZkI2UA/K3XEDoowCJtw5e5c1HQht6VQjvrumNWRTCnPumt2TTkdgBJsTIIIxp5aw1WlTziqCM8WOeBbgrzFAFPL6q1S3aw33n8dorExyjtyuJRqrZFeWRZQQXSf8SjUaEbnrcykFwQWZEMzddYgc9/0/x2nj2/Hr2zY0kgHYsZsr2UoMtvvuHpzAzcfmbH395Cc/+VUKndKs4t84vuu7vuuFZu2TdcEMNf4o0KszXqd2fd9cDeQvWgl4epbqjrWZDudUo2BkvsybNboVKhG5AgXgUfmtuZMRa0nF2sbazJLsKiDISR99fuu3fuvlnTJr1JZSHi/LKm+MnOuNu4Gm3XPzaQ22uaS06jAzvKNNH3+z3230JfvT8muGxtxT7BTq+gHUuD/e3Wd6pK1AifKUld14+rxD92mp0q43Oo5HFyFvMIWxFFQaD21Mor92C9ZXhg14kFHFr3Sf4xvpdMzOJ6sCSEAU3bHs8/5bn61VXv/22ClGomWW45Ftbra2a8vMWmvax/cUhDaLoxVgNpMLrNTBWBPg45yQefzerCBj1Ayfe+oXg7138iibvXNk1LsrsQ3vBD71BdAhqw224hX9K7jHl170QHc+Nh4GXL8FrYzZejd2azzIqdAaMC3AQUNz5UVGJ98yCgUpgJzoP55Qpm6ju8p9gb7fmgmoY6A/lWOvyguQhP85e45rJrWl03V8LWdpxkZ/8bYqqoJq/Uav8qQGSDfjho54d7rAPVU+kF16e3hgFQh0gNJxr+ln2ckGRXze8ZvHLmvR/2KfyhO+6zrfAuxW0dzsCadwutEO28ZFH++pC8NWy6za0LHOMB0sO4N25aUn0LnjW76JX1vq3MSA/+gjJdZ7zfbBi7u/Rw/avJJT1gBf1142i0dfXqe2eooTUgfRnEgCdB8X+qX2H+YZHUbjX/mVX3mLIWBhwc/xFcdgYyOfMAScRYcL7twye30mc9X9zXaznftMrmTl2fbxy/q1eaies6dNK1foIQEr/OmRk7v2k1MrgdOAqKVksAgMBD/K7tIB0wfGI+jfCj/6k5wIjApsCG6buzrnT8EjuuviReOi19iWOq2CaA2WN0up1QEV2GQr8LLkg6pNG0/+/ht7iDdhWbxD7ze4S+b0p3oT3ziW/HfZze6pilAgY+dOrzxVejTIWFxYPkaz2sePpPx4GYRFnBBd+coYaQqdI1vw57lSmGLfleeIfGJw12KQd8wIMqU6J0Yb4ytFVsYLMMkAmUCCv7559tWujancd/fYxKxvjchxFgm494I2YJIw7phNlKyasRIsJRtTzLvn/h/Qth5PUw68sY72aDgGU145g8XoWau2vtuyftf7whe+8OKIbh4GnpuF2rU42RQZJt79R6s/+2f/7Mu15hzv3K0BZqQp8yqhHbvvU2Yb465nR9zRZbQmgOs/Z1+JasGlcu2NZ2AfUNrrJ37iJ15+39o9vEOoAaYCyF1fEGNRPIqgj8TQ/2sQ1prtLtgFZKx52hyNJwCY/bbSfNHGT33qU2+3ld85c8A4NQI/AgCNBG8eJ3/bVExQBwgD/snX6DaaKqVl0G7Fwj7vWArGGLZz8x7ntGt2x15goBUFa5treqIlm1WweH+8YLdpTX9Gh/HsPo93xiseR7G2/o4GIvEb6+gymn3f933fC//+4i/+4nu/8Ru/8Vbhrg8LsGwc5p7R2zX2m2CVjC7nAP2NqZluvCVIxjh4djZHdOesD9/6rd/6Mialopub/x97//O7f3fWdb8FYZM92THRKEihtbQVqYgIISaQMGDAzP/AkX+NYyeOZOLUv8DEgQONBKlaUopECoUCggzveOsNdOf1yfX45tljv8/v1W6uy52duys58zk/5/k+13utYx0/XsePtd5/8id/8tbHwMzG/h/+w39462PfT/b2W6XwC6bs++nC8TxjYk0EjNCpgSY6Udu49jt7wJtRNg/OI3BZ8N0IbLPY9E4DiM16FIj7uzXcGm99HDy3906NZ2j13QPE+vzoOoQAisANnQecb6wDykBBnd/dz2F8thPsOqX4aFWwSW+g8eYh4FK71eeqA67GTpabNTCuBmu3/sCnDNeP//iPvwUrN+5tW9lvBB9txaHXRfoFooA1QKMAv2v2hAnqYAHTbItMCsDpOk8F2P1GX8FTgGty0KywsymAT0FEdqbjfAJAnpqA1qU9ZxV4Z8cFfAFwTiZdoJKJjNGxuw4eKJ2b8a/Dxaazoc3wClx6qgSg5wCcfcYGcQoFgCc7nGjBEcE19na/hW04koJbPRxw9skjG7sNyvo/ZWpb6dFqAIGIVvKQRfoGvplcDntsfPTCbMfez1FcH7anzL7OZlmT6Y19BkPM3qz/ZkSb7WeDmln2upUeG5P9jBIz68M+aQmA6bVhpq2f81A8ko5uWSCWY7bfqEr0t8GjZsqcL9BGN6E/x6V7UemM0ckWto1NIoBesYXA+QxoIMng8UiwLaxMh4zGKqVG/x5a2Uo//E+G2N01PLv7egQnuYUDVTHB3XTB/h9O8n5/F0TefccLWxMOVfe3C7KwA/Qh+tbp01QL0JG2qnFkYVtrorqObXBfOsUBldPfW59hIu/3uS1lbLKzif6PD/b/mxNHkw8loEoHdNuJLH4d2T7hYTYH7puvh7/Hvx6r5fF5a/CbPjzqE8+tP75eK0SaIWYXm0T4SJ1aQtcIhAjFBidzRqCaQdzAGCKRHWAfM+zzCbvsrGg5Ae7pmyOEZ1cStD7yBzM2arzXCO5enKcqV+OUvWrZZZl1DWjnOGBsBqfAV/8tz5vR8VikNUzZMlROP0YswCQA9pjICIvoj5aeCbrX1o6wrE/AmuOptNv8NxaPMwIs0KD7DYGYRvkphjUnoA6Qu0ZmsKcjtuSw5Ruy0hwDzun69biXL3/5y+8AsAMLGC6lsMp28CjFeYWmpUb3+5YZNZvsngUvnGWPuhERHS9PKeAH0Uy0KWi2DxEQBGx2PcNHkQLCjIhy5fFmnUuKFT8okVKt4NrxjuAT/u2z1+yrBKjIMblp9JUO2P123xn6gROt2UBGcmspewNA4HeP2dj124u66wZytl96Du3GqmyZLDu8TPAKX9Q5kymibPEBme36VrZbtkM/4T1zV3qGN60H3YlOo+sApEc37LqBB/pvzvpox9nlTDrDYK37cxhucqnh6Zay7fvu0RPx3meyxmhW58wa7v3G1LIpNG0wj42okyzq7Fnbyg43rwaWGmgQSKCjfdZmnsqhRsuNE9ArfwLU+9/zFncv+qcZHHLXLTIyU83aeO/aZgzpsvsbrWVmuwdAYN3pjs1j+nW/Hc/v79Znc931HMpmIwHxZvTNq1mDtmbA6Uo2sPsP8c++q3MlMLS29RUMpJs3XuOcfb8VDwJzxi0AUAfc523K4G4JIDvdskw6Xb+Aof7Z0I0DuHad4NteN2MNd+Cp2olXtG75LaeiFQINRMlSetliIVjAkRWA896J8nS2ABBnxnpvTeAjvGLs5LiNnNxqCPadrNVxZC/oyvHudOHsUDNsHBL7rW1HarUaRwu4tz2Fbm41wB0rfVO9Tv87rNTa0wn0uf2is3O7jh2X1eSYcKQEFPadA6Dq5DVo81R50HarTqqnug54EW+Qz/EBvrDeeNCa0tEy+834NYNLbtdawVQd10ogMtLkCKylUsy8JJXQm57wtAkBOqXq5uq9zLH+Oxb6sIGmrsnlc/fCQ4IOxXToMBrAVKow4XPOK12vmm1/YSHn9tBD8JK5/FlOZLe9SQBiNMTjHEYOLJ0sqOh7gaUGKekc9nRjsqbowx/berCv6NwKIBgRFruVEWT0Y3NqKXtCsoHbAzaiiag3dV/j5iVy69TYlgX0ECCGkpD5PYEUGQByRCcI+/6KDrQsCuOJira0pIYewxJ6woz4AOgWT3kkBdR9vAUvmAb4GzgVmeLgNfrGiIvWYuTWv4u+egFgBZ0DCxMQGU/R/Y2XQ+vgAYBbxFmUbvdff5S29b0gBz2Nj6O5iI4SZwqbg0ypy9SKkltzUWT7qjxKSNRrThzeo1AYcUrcPDx+yfq7VmMIGp0l9AxDHUn3kfERtEEbv0fb0WOOJiBFQTWyx2GugrEWVdItj+VoKe+3B4kioXiB//GDeVFOLReb4+1UW/PmhAE2DuoxXvcyBwoJYBwfOCBLkAQ/rHXvDPDACRQJ3u+coD35XjT2F37hF95VijCq4/nJGIdluspBUZwgeoNeAq4Fp5qFoCvwGae2hgD/2NsqsEYHkq2C7n22cdvbu/sOyMnKrS90GF13wNnmD1wDg82iiOACDz5v6/xl3a1RS9VE7NEVjRhYckBOHTxDz9Hpa0rs3de6kw8BPXIxmuw+aC4rTu8B+z1shwG8GWprLDO9/0dHAcEGHWV16XQ8bOx+36oRIKFOSoN71rpR+5ayAQT4v7qDXuOsjKayfLJ+snl7Tb9MT6tysE/NHuxGxPFwndvLJ9XxT06t39IFghf0nT2DMhTAcvWp7CLbD+zTw+iB30Xx8VDHfnldMKEBiZa10Z2tOKAzbX8SxHf+RYPPnDXbPhqgNm7Ov4O8OqfyjPkYU7dZkOVmQFua2Ef/wULKtWXmBCLJ83SNrLmgIZrXQdp9rDHdWOfpyamtnrE+3cZyq1/QmN6bDh9Np8eVbHusnacfjL92ncONzHGyDZ9JgnAi3L92Gs07jwbTyDr6CgTWoZGd2t/Z1zm2kg746B6gOtpPL8q4tSKm2cyWZNKD1R9kwPjJlXtVT8HIgqbmbmuW7VwNHDYZRLfsr2fGWmd8LiBffG2trTe+6LxuoJhukHSRCDA3QcXRbeNR3Ul+6OWeiL/39tBraNPAZbHjKz6nA13n/wZ82GQHXqkypZNG0/GxLYrdqrHvp88dkqm6jm/SKsfv+mA/rz4kiSQirEOTbHQe+yoIR3Y4vsW8Svo5zmyK4BRs76wiSZhun2g1EKxQm1SdcQPVH5lTK4tHuU4Yf+7nfu5d6Rhm7+MbRFg2IfvXMHMzsARhyqnKHtNRHhhqTOFRHTuMaI/34XhR5Ot7JbsYYCWzO5DHSZIcABEMxqNR8zWO7pSrjCkFa+FWziiau753LYPshENKwHxa4rR5Ayot66SAOJyMeo1xBWdNVqsH6+yzgWEgkIHzSB4RbyCV8yKjt9dOj/3Jn/zJtz3DG6PTbnsYCeNdoRF9nDOzjOquX0Ztn+0eo1WV4ppoqkhbFeJorRRiZbz7TFSxezVkRu25IXjGyWkECDWKoCfotQKh0dj1A0AoAbHmDrWYQR6tZoA3ls1XSZVshezjaLT5mTtFb22Bpq0ZIFLHC/05ffbqcPTr1OIPyppiFl1eqc4MsMyI74BkTRmdSCqFxRkwDtsEODabw/jBepB1mTkG1riUBu/3Kz8erSaHW49laW1P+Nmf/dl3dGrJnvnaZ8MJYOysH7Bws5B4qNHvtq6VchoGdw2IwXt7OZF0/OA4fUEevwHYgL3JzvTYSu3W9+gI+HF8m0WXdRFU00TDOR/d99Jj/v31qK/RcfccnzKwApXmZR62jahwsecGyCPvHEbOLb6dbRkvWzfj3jXbirA5Csx1HzBn35gAG48ZAdAEfTjvgkp0Rp1J/FyHFNgDxrvebEf31MqiOXwHiAIcm8FCDwEtdHdy7hp+3fyBPNmtXSsrBGzPZpJRfC9IVpBRsHGrEJqtQFcv83U9+2pstgkJcjkQbWsyGd4LH8pU7NUsUAORHXNt4AX76A6k+R1eMn66RkAYbWCEjcNZCNZVPwKDziAQbHBmAzpaN2NswKwN7TUgjwwUBOI9GMMYbF8ZT42nJ0/OGUGnybEgZUv7C/hlWzjRHLAG6DrW2+pEWr/dc/zgfh5VQ956Uv0/+Af/4F2547ZwoMGu3xkDKlnW937HGeMcjyazZz0QtOD+Bm7QGx9XrwvE97E05NWezvGBrTO2wMA7MJmkCNkjN+glCEcPGJO/HP228ggnHF3pRnaNMyVQOZ3h0LCNbzp4tIRV4DNJHNufYFPJFM4QpwdG9Jl5NhNr7GSCfAsu4mcVPHS8wDqdYZ5KvTn0+96j8WR1HTTaDGyDrAKvtdvdN6u18qh7tCU36HR71FvlhH84jvQHh7S8Btfb3rTPpuPn15C/P/kgs4vf9E9WGygxriYS9CNAo6JNwgwPCFJu3LPvtgJI0DR4wibCPeglUUEv3ORfqwp6IOFH6tRSmhsAB3WCsP0WogWyobx1SmON47RmP2GJY1IUKsayOBSRrB0Dvu84pMpjKBaHNk0oV55lcR2NT+haQgCYyWpSxMBunUxMY9wE1WJaGP8zZvutx/1Mae/RNwPrA7mcY4Ky341xNtdbXiP6DrwRnI3BYxB6arS9FJi+ZRotmWZk93sMvbWegttYug+rZTCyVze75QCtOSMb4wDynDwPUlfWTqG4t2giZ0L5j6xbD7gSSKE8GQzKgPLEl4C2vZmauTkhuRE3mQhGCcgFmJQ37zeyhNamGfGuYaPH1qoRUvfdS/TdnKqIGyzqQWQtpaSw9v/ATE9CBDbWBycdyCCTZKJBEIDOKYSlI2XekxT1Pbrt2cwax1Lmufue9nIK9GS5J/4BR3P0zHVjmbJ30NvGwZlBE3qF/uE4NQMrCEBvAXrGVecDj6ABfSZQ1tIq/Eh+6SCy35JCekSf4/m1jRm4FvlFQ/StjrgZ4s4NcDN/lRoO/9j4HKYFJKIXvYmXVLVwaADOfc/5JNt42FaK/b9rGOD9fnzKiAPeW1MHwlmD6qGC/h40ZW+qe+vTIW4AkANzlFp1fRtkKjgTYOIcAf8NkPaRO8oRBRW6VvSOqgJyqZwML3FKAWQ2GjgFSATw6JY1+8nNuY4svdNM4s0q+h1wLMBRnYKX6Z/Zj82JXrAWtsGQR044kE7PyuJ2rLdKiH5ra1mrPoxP9t5vyFwrh5p1JDfs89UV1S/dSmW89uwDxxdU1/mtwywrQz8ZG97rWAHIPr1A9t7Ju2gr6ODeaNUgxv63Nw5vAOMA+VOG3+fuhXfhDPhv77cGHCr9WqvpvPHDMEgz/OTI/eqkVQesf0kXcyuPP1UjXN1ex18wlIMKM/be00/b496AXddYW1+SICqoYJ1iSPxQTHmDq+ZAf3q1OsX5A/gCD9ZRHE8sYQCjFCPStfQ2m2AOHLFWlykPdxhq9cnT/Z/mXx/AmSz7vM4WOYGXurWIvtboLrzW77t/uI4uu9YGC9H9sL6ns9DrnNjqbzbAPTjju3dl4fpSZM49VfR8T84v8dtmUSsXDX7QJxcf0LW1BdWReJlfhRfYSfxVXfA0FrrQuhdHPgX8PjKnFmEZXguIETF5yyYR6ZYWYIRbi+73FEcjqiYo/c0Yum4N4CdYnkdpA7N7AeiUuGjh+mlUYq1K9Ck6LWJPkMyr0Yo6kJhQCr/MIyqsEWilybIiffi47CCFI0PTPUTATiPq+i+jNRKI5uam1Mf+3AJ1THejtZTX7jklP8U2pb21cICRx5o0Ml2FLLKE35pRU27VfdC7jsEyv/IYpdP9qI3sm2/LvG6WjUPCYemeA3+BIrKgakGJeeldI278G5PyXkCjkfkr+BolYf0diCSwgRYckVYo3HVb229dA6zdcTNgPseLlFRLibbeDkgrn1sfslAlS+698IAsD7ldUGh9y6hQ3va/cew4EujF4CgfJbtko+DHbwoC+92VIY5LdV8dXrSiK9CpBqRgRVZu1/aAL0YDH63JJgGHN4O11v1QAiL0kxJLEdga1pZDAnx1tFq+VNm7tEB/NKvO95xiWXaOvMz7Mo/AsWBY+buGlYPZkzTJEbqbQw/6KcjXj/Wow9r3N+CkNZpvnYAwa4OW1rjZUtmh0hqQ0F/PnwC28ZKghfedc0FOyzCbZSwNrHN1M/lSul67uOtlyozL78nfmjFtfH7LxrsXub4lfl5dC/qI81eQyzkTpGlfdRTr7BQUVj+pviLPbLYtO2S0wa1L09K8jhva0Bnl7+vAlW+7nYoTKtjhfnftGyjAx/QlJ4eTiEa1PxqaFAO2THLfyers/fABW167Xf6Ada5TJOjBZvjLeWWLlKWWxk8ObZ37Zk/9X4zbwCgH3b1kja0F54NjqXqKM7NrnGFBnusEanfdLt3R2xqztbBv5ci4utZr1qKVOIKP+AR/cXBgPfyNd4f1bKEh40/6BM81+NSMrut6KJsxFBfpuxUoXXf0wzPs0rW5aHRp32be9Kh1I9/0Yn0jvytubKWkgG6TfQ2gokOdU0G774sjb6yv9Iymjxvo4MCbY7FC8XVlVV9o3DHTU7CMuV3MVD3YIPJH7tTOIbHQjtYfgyuP23eN0toXVWat4aM4PPu0JQxKspymfBdmzf7WZWCB5EWoZRDcb+NeHyu/xXgMjbHZV7Xruq/E6ZiNSjda0/2G18Bi2kZCu1hr62eK/Vd/9VfflYopkzBnSpJx5diJwq7VIZzT2IfYNyJpHjdaWOetzpkDM/abL3zhC+8O8rhOs99f41YB3hr9xE/8xNtBNzvMZ+N0wA+wSegZDOvVzA+l0YNrODnlk/ZFKAAeAEcpbUutlIg4DKIlJ9ZDVQJHz1ydZgfweY+HCjz0DdBSwq5BE5lGvEqBlOZ9mZuyFSWHMmCVSdlohpfRdfhA6UmBFXCJ0MlGGFf3RC+AQVHump1I2UON8Id5F6xfZSprsQg4oKOUZ/dcSW4P/aE/rN/4bf2OrqLG3RNNzmSeGswoUCYf9N010oxwDXDBkfHg80aBlVX2hEL05rA4WMrJsXQB3cahBzg3V4/n0OqYFfj13ABBTOU/u37raQ+YjPINVBrLrucM42HZynt+AXrILtoLp7pBQAhAGVCyncRBSAVCaIYG1hBdW+J1s9h15GyNqD71XnAQv+H56sFrkFUXsCWbG9sJiBs/UGDc9B2wVVkpuGjpXnWwCim2gA5pkOza2YKp8j/5vOBwzXPDlfk7BGzjsb1gr+lf4ymvAIPkpfJUucF3ZApdbmPHelil4KLgS+lePdssTp203RvO6Zak6t/dQwaywWM2qVVpbdep7SGEXb8GodaPfcj0KVlo0AfP1+kpeDcH/Oe6rSnZIbsNIr1ysApYBSv0C/ftumELlToNGKA7G0C+fK5KBdaif+AJAZa1riXb8qS7W6VSrGZdVB81qAqfOKiT3u5akrlWDnCo2AAVCmxdeY0Mlg+f+Ab/tp/aBWsmcFkbxrEmcwJkdAS9Z074p1VW+06FxmiyCg1VX2vFG3VYG8RR/bbv8aQXvm5VSQOpWnmFHqmdKJYvrrLWDVrVMb7t6sE69ns5OE7Vj7/Gv9bkVp0/JdfWvXigwSi+2V/+4OCm8nrpdH9j7g06ud48VNoIziipN25JKeNqIObJN2rSooGWG6isD/CxOLVOWJyRmkOirv7v/t2/+27ylLOIYjMeJsvZpWw8P60PNl9/9ojVuAEA24sDAKyfp7IsCrrMqSxivwFwbxQMM3hUhGPgZX+rJG8UT1+7hoKVKbP3AqBan6MhBaCMu8pq82j5m1bhv0yqtJjjCXzImigT06qcgE+Z7SnoAejt41vpD2XPaF/B6Vg0SmufrZTQPebcrq+B0+2LUZJrA38j5oSuUShKBMPXqDby2PHsGsbKYTfro3tT8Kgy4xsBNBefNxNPKVUx1ahXyK0hRY839LnvxxOy8qL9+qvCLb05Uvb6bh9Sy3gLQPzfEhZZLHOo49MTKy8/NlJuPpufgwT2Gwc49RRxc2EErrPOCOy7/ZacM0qy7lszZdCMs6wE51NpTKOc5lgQe8dhrZoNbJZi3+PbC+S6PaGZFboGj8iuK59ff8qsG4jrKYYeAzY5rXxwjtFV0KEHKnW9+7w7WyrMHzDc54zXnFqlvB5DgRcBCGvT0qQGBnsgikNo1qdHqtlC0nJE/M14j7fss3aKt/2nMp5rPeyk63ezHXS4deyhHTXYBcF14vEqvgUUKpt0ND5Ga+vvoC30FOFvNUX1QOW4oBMAaTaUXDYTix7N1NSJb9CjEffadvMi0+wl2tOnN8vQLKjfGheHvKWb7gMQqtgqoK3e77q2CoJja0zk/ynr34x+Aam5wCuCNXhTmXl1hOvI5g0S1rHuGnMGuz54i80RFHVauTMdOLEAq76unaqtvuWygKXKgeIHWO7uNSQnACud3cTGHJ3u6SuYrjNrDNa2INy8GnjGc+bRIOkN2hT7NMM9u1vcpQ9BC8HffW5b0MY3+dWP8nB8Q5eSrb3wA5lVJWJM5La8ule3W2j4svZMX8ZEdvGStSydm1nWlzE2W2+turWuzjR+H8Zzfkczls2e+itQPd6YbbHOxer4vfoYXXtWQx2qG0C9jmcd6yeHrEGp226VUO0gHmiAsfq5e4yrx4s9eihYA+RwSasyvi9VR6VtearBMeNyfzqreH6t5wEJMqwJZld3GTeZKGZuEKx4sxlrfePFjy1T6/Abm/uVIwxYPaWZLVgj2wSckE8BOz0Ns7fEtCn0Git1/o1QUNglYjMpFWS/t3jG3UXXlz1O3YeimXMB+fuiI/1e5AxjlVE0URBZlBv1rLMimicCvXZLQW50yLpUEW2N7b21v2zZ1PWFnrd0oGt7I7YFaA41WX8LTHh+ovIUB41ZM0JmLSg3YKPR3Kf7+qwG3CmzFA4HQCtw0k95hyKtoa3RfgIL+sGvddbJSstYrW0zN+2rjtNtwBNDs+ylg3/mFHbfY5Vj+avGpkq95UA+K93whOvWn8NK9uqewh5OUABXJVwAW6erzidwvfdK7IGpljIDkgxnwTn6NjNz57/vgOKuebO5DXLhTfdvxJHMF9A/8U1LmbxHP3pHv4KFjXTeNamD1TkKWMh4MI4FXJPbPpPQ75Qodw3JDp3DUJpLgwkFYHvvURgNGOm7gN/WhdmPVSOgMyNfeu07FRUdZ3XnpYV1wScXHHRtOY3GSO/Xmezveu+u0TXe5lGw6tX/b//tm87Ee+xb5fYCqTq95O9ma8urV8/VmWcvmpG9jjTa37UoXrjjY0NrGwQyqs+NqQ44frw8VbDVa2tnugZ0kowpOe1Jq11j/bEBV6ff1+WPOioNrHWenHu4ZU2gpU7KDSJ6sXXl8Y67jua9b1uDP9dmNFCs/2bi+rm5+r9jLx6AT1ryXp66sqPfrlEzoZURNCtOKq+0IqxZ7/Iym0cOe6/iRM557W6DDnWYrj4vf5Zete9dd0EKugYuvI4nbKkywdjJnKoaa9MAv6AKu1xerM5qkNBvJIKqH617E1it7GtfNzBTWrT09/J8eeXK5221uZ1P8VTthPd4htNbfrnYrjzRwDn95V5//sFaVU83YODVrP/Gwt4VO5B342/wrIE6uKgBSH00qeazrkf9mvfpwlcZ8o/kObVKcw1+WQInXxX8AaPKiUYQv9lfTtOi7AMxTtZzYITHeZTZKB1C0TR8ndpmapUVi5r5nWyjaC2lU5Bo76oyKg8mL8Nhjs3ZvibCsz5ldGU4RUj3m57oqZT7ZsFkeu/ppTXSFXrXMTAts7ggoQxUg2tf0Oa7zOr20u6vyLgsQ7McT04t4SpwEclc5nePYhkY3WONdjLhMsGe16V89TrQNWL+4rUarwpQAQWn1p5wZaaX5jVwNaKUBpo1e/f0qpKs0W8Ga9cpMd71eAbwQr8Cq4LOrqPG6UdLc17W3fNpGcSbGeAgcbRvVLAgpDzZSFyjhR41s/cM3/oq8LzOtHUrYBDlr4GypsZu33AdvjrZtgvIevgen7bMpcrf3Myp1QKMDP6vQdf6meuuU1se9bdlOfgB31y5la0tcNVPncryiHnKhPd5igUh6AKYleevob86wWcykX4jwsuwkeXphGZo8UsDHAJkC7h57BSn0qPiZPC7TaJAvzJTB45T6zMyWAN7naPqgl0jai5w+XS/CzTRrfTzWAzr1exXZaOAq6D7iRcra5WB6pPSqIHQ6yhUz12eA/DpE3a3urrOQZ08fZkr0F9wRD5b1YPW16ntWLxaaUEmXVegWJkVjEe7ViH0fBFrRxYLaMlSHVVzviAab1SX0V3uWb6oUzUaeHwIe2ovp4CfPgD8/r56mPxWBsyj2ae2ZvLoSDawQTo0UKWH7sbRMsU68g0A4QsZxGIRelQllDGXl8zdXJ7WojIC0/ZRaHW2OIHmWr6DafTf7Q10Bl3X/dPVgd060Vb8aF7F0NeGVzdNZyrTp8Oa6cbLMmsCObaGqIKi5zmkeAd921dlGW3pLIkt2Byfo6sSWPt9u4UGnWoja7dhP/dusLmBsyYaGoRoa7CweM99YYLqenqn9vM6dR0PPwUPV2+ocqoz+2fB9ze4hH9u370WzzV7j3aVgepuY2vJfrc50AnGcvFT+72B1M7nIz8oaiBiJ9dibo89oSC7j4Gwcu4WUbfAGHIDnkPnFNtlkuq4NOK9NiW9UrN9tzK1ff/pT3/6zRHGKMBNFdSu39i3B2ufzxFXmkwxYQqAhCFyUI59BpwtY3PPpyi7EuYLyC3s5rDPPAx6rc7Pxrb7eqyFUoEqJ+Ndw3wAYY/yrtErMEMvjuzoq2R6exfnCO03nun4lMUreK1iuAEJwGEBi+2z2Nh2v1/7tV97u/ccaEfvu76HMtTBrZNXY1iDjJ6MQp9J6URAxkhTQlZhNLe+Lmivs4cuNSB1xNGnGWljWVm2Ekrlp/vc3uw6W1UoVb4U/+a4Paxbz3/zb/7Nu8dSWXe0q6LmGFwgi9ZPIAzPoj8e69j2eU+QvPe8zVwK7moY+puOhRxdsM4YAEw1ZF2na1DaWk5TR+RWZLR/GVSOoiZ4UUPYCOnd91dQ3iyYIEIDi/e5gQXbmmyvdQV6rRU93APCZLx3jX21DgBpsKfrIWC5/3v4xXjB49XqLA3ctgS/TlhL8NYmI6sUmt2gu9Zv9/pO19s24lnfeL6lX+hh7Nfhwo9PcoxmxingU/CqCXCSrZuZKl92zRqEeIqMm2/lxBz8ps56x9VrOyf38X/f9380Kj/TZ+QLQL19+I0xFIB3ng141a40i83xulnD60BVfkub2i+ZxDqx+2y81uAdOXEtfMCuNHB6dRM+ujYLLfDtZMKYe5DYPaDP8+fRwDYPY/IyDoFquAwWMvbrVFVPXgB/ged1yshGec6acOTIhd9zktyvgSD91YYWGwkywaIdH+fn0vzK8ytA3XJ8NKM/2wfdL+HQQFTtKhnpUwrWn0fhGV9t4loPFV1rdrVBNzx3A44CMbKigiC7b3WhMmKHqnnkYjPmtv74TCWmNak+kXzZNffpFGiPf9lCWU3YFpYbPq4ugasEaotRqjua/Sxua9DtBgyf+ME5FbaIue76Lg0akQOOuvUxRv/XFtlWVX1ofGzOn6eSjA0qNismboD02reOwe86n2Kfp+AkerWyr6868uyuF1kyt4tPP3Kn1mFG9qldkNFWpqjBw1BV0I2eVGlVeYuge6bgrhEhohwxHCOFYQFB+0knlCt73XxmpG40wxjaB+BmHHUubobHX4xQw1gjuvG2XIhy0yYklD2mv9Hp3q/KsVF6973rgxEdBuM5gkoPPZ+R8bv39bpRqjJt74e25uy1e3jw9NqAavfSdX0qQBW68lfvi/dErkUO7VEFTrTuz8FLjH77LF83klyQdaPx13CiUT/r89wY3zpEVWKde/lP35vHsuwD+3utFNkJqn1UUkGjOXU+pUXXuZG8+5n53gh3wf+VmetUXhrd+T7R0toUAFUPVL710Wh2ady+0QZPWhP8WSDu/oxLI/W+I6v0JCAsmGdtbsCmvF056J6dC37c7+6F6xyrz9CrfFtn135Y39UYo0GzW/RmaYMHBAwFAQuWLgi+681ZWpUHeemzmfvYLUDLPIHOAtTyQ7NXdTRbNmkOHWcddPS6c6gdKE2uw1C9/coZrePcPioLT45k+afO5NXZpfl9XbDR+RVAXdDZMdzxXBo1s1A5qx1qYBOf3nHd/hvEujbMutU2XKeqTh7+Lj3phj6Oh3w+yfKlIb5jjxqIvjb9jqNYpg55+e3yEbvc4MY9UAptGlSkx+5cLo/URpRfyXofe/Q0Rr/lxDagsdZAt7G1ryc6X8e296n+qg6m38ypupIeb3/N8OOB9kHX0Fld6/L3lcMmMzTOex1m99DntQGcUpjv7oHn/AqyeoxRaQ27m0fHV/ny/lZ/3Ex0g2V40iPfYH7PrXXOjrHQ5zLiTQB0reGpKyuutz6CuF2LNrahCYLa7WanzfFimL6v/GnFlf3bwKix/Nk5CFC7tqbye3WOz/vdxX21WeZ2g1f3t66/tqjydjHJE8b9SJ9T6wAO+2B7atqdeAmM4CIByiZ2vbJgv+mkCB2mdmjOQJDDcDhwiLtGueiDwnCC197PqXX/PsuvAiiy7feYi1JvpLxArkLiN8r4WgpDqYs8PWUNR/fN13d93BADg9FEZ7q/6DLEXSeRTM8A5VitBFCJhshXFVAZ/0YA3ee2rrMSFY7tymKd3rjx99ElV5FfkF/hucAQoPBcRAqRMqQ4Nffsutaw6bP0bPYYGEerGrzSwW/xOL6fjOFF5aeUzQXDd32vMhgdB/j3+63vDp7ySB3PD62B7Vr2XnfcpUuV9FNUrY5q+eL2ew1fr3+a5xNIapDn8nqd2juWgvqrbO84asA5eJWLC7SaYaX077y6r6VObYMiTzR44vnreLxayxtc4OwVBJqTNRRUQ4ded9fjGvD+rfFTIeKMBtnc8uWTYcUDW4tlY1e27Jm942syr1KmzkHtErpd55JdqezR112Dlknps6D3rvmdw7V313Fqn13HOkWlc52Mgtj3OTPXcbkgpLLQeT7x2dW9r+S/fKnf6h72XFCoQLN6s3xULPLUChjL1/feHA2yq3Kn4Nt9Lph1D/zWRxO9ovtdwwJMtrwZuydZ63YqtqMOTB3fAsvSrI7hPoPTrl25vPfKQS9/P4HZrkkPEur39zeldYPsl5ZXFtuf9or+dGGdWraFLa8M1AHtPsHyRyv8Gojyfr/hPLaCozS0Vvj9NkG6K+vFJZXfG8gYNjDuzrE2CGYobYtbr1N619v/+LO6o/S2xvStxI5AJszmKQb66MnCyr3RpOtbPu99VVsIPsB9dSzbbj+CqK0aqKzUlpTnjP8GjdyDv8HmPGX8v/cDm9zEwsUDfJInO3Dnc+XF/zc4jZfwWfXYxeYdk1a+fhXQ+lic2hF6gHvlvvY/9Jjq7sVYk4FzWrADY55AssWqQhOVYdx+/dd//S3btCztBMtzT1e62xMLMS+nusy88ss5j9vHCfB0LxrHswxeB7Z7e6pU3KNAokpYG90arVO6sLJojxkpDTl9c/jsN7Xn1TgqbPvOSdDdK3qN0a4fHffaidb2dO660VXAwLUt5TD3OgKdY0uEa/w5l8aztfCsXffZ/5vrr/zKr7zdfw7Zj/zIj3zT/tM18+jrqTRqbWvscLMpXqfvWptrHCqcrhHcADRuRLjORyN3BZ/NWBRA9bf73/5q4y2wail5I77X+MnW7399eNzAaDE+HI9MfhiIm60qPXxWpdSs4JXnOglo0WsKULUnIFqjWADs+qtP8F9/07FXtn3/5DR27K6l32S5FyBxarYtCox1S46tnd+XBy4o4PySr/K08ePX6+j13IKC/DrcpZV5O5zP2HqQmJObjb+G1P9ktzrA+ETVgXv97NVTqXs68crl6a6WdTfYdKP8q+zYVomtiWoM+tz+WvTU9/pVuSMAWtpYj8v/dVKNo0ZeRubJuSI33QN2QegNVFzZAsjo0utIAlUF3+St++SuHF1wTzZ6inZPRCWfrruO7dVxWh3+S5/rGAHi+r9A5zr1PXzu9tN5ua/1FQQpGG+ZHcDODt6MXPlpfwW8jK/r7b6torrry24IoM3ue2Y5vkPn6rPp+JZ595TVJh4uz/Tzp4xUdb/733VosKe/q+6ug+HzBg3WZJQb2KL38KLf9wkPynZr06uXCuq9v8GtAvJmjegSNKKzeoL70/y7BcG40NicG/Ckh+8jbIyjDl9PwdU83qw6ztwEPmDTe+81WKEHNHVe7aNrWLqgJ13NFhWj2FKjPL383wCAe6LlrrEVhn7m1N6gB72xtvcSQx1v9bHS/NGebUIDY37SQZxrWHbf9/wI8zcfvG3exbYy3dVRbVcuGzQkJ9/Iyfvl82LGG8yrzNe30PgWgvl0oL7qJ7n+SRfUrl861peg17pN4GNxagnb5z//+bd9tY5i7/5SyuR66wXyjQBcMFSwSdiUjXrkjcXHOFXuAKX7MMSNZFQg50B96Utf+sRP/uRPvjM8FKhXGadMXSPR6P+N5D0p9v31PMzdd47GhFO5j+axMtvXOmU1ms8BVirC6a9BpKwYhTI2ZQyQOwDL73Z/JeY3S1SnzOMzfF+jXYF+nzM0h2pjsM+Ncqhi4XhvTHvNmXACrnHVQJTnzHf3oEQ9ULwOhXFpjAslTaE1St/M1JsgHfBLXuokysDhy/K8o/L38tw9PFLDwyEwvyqovuoki7gbi+cpToaNu48/eRUhK+/XIcT7V76fIvVrLWP/sHtcej7JX9uNBF7Q2UjrDYqgWe/R67uW+rVu91CTOl1oDCDcIEANEh6r/mQsrCf5qZ7xXWUNr9LJPal4zVjdv4C5r1encrbcudHtBoV68mWrIXYt++F39IYDAgFJwNU8zbXlnLuX5yDuNb1Obr3M9+7/bvCgALeVEQ0m3Uzt/Z3XU8QZH17A+pTtLW/fAE1LxMxfe6UTus4NAD9lgQr6nvTC7bfjvfxYmSldKtO9pjarNL264dV4ngIszVIVzJM592gQvNdUB3W/VzMT5PYGNlUg4PVuvWmVWde443Z9gbH1K/3czxj81rwLJJ/WzJyf9D+e7XqWb54auyawumubRWvQrUG7AmtzukmDYhMg+/JMy2clYBrwWaMbrGXX9MrkdGdxafn0BgmMG207x9LQ+tFNLZetzHYctU2XX6Ynm2gii6VXHxlU3ddxccY75t67SYsnm4229//u6W5gAD19Zu0c1spRV7Vwg+/FO096SaCpcttr0ayP6yof46nqQ41zPRzLSW9gus4//afPjqHjp6eapKhPgtbwR4Pja/Uz8F/lpxio61Ssdm1MA88NwL9yOjtP/dx1MdfraFfmbxD2I3Vqx+gDxCv12oE+c4YoIErogiwAnHN4FXCJdonq/y3aH//xH78xNgDe/WwVyBLyiVEwOMWx+Wwee9auxW8Zk9fTwlShNepTA3INVRkMc8hQejRAm35WLrr3o8GybMroOMZrBeYFImjCaVofK7220X7ftTzPwRMYGA27JiLWLbmhGEqTq3SrkB2GtJdseUuoOLUTul0zGiwjs7/L4vZ01DokGsXpxMc+DsX3NRxPTm3BfXnhljvdTFjnf52NSw+RwpbXo2FLg7qP8yrH22dBJcPl0BGv8dGc/HuYQGl4/7+OpDnVqb3AswZ97X1ZrAJe979/O6YL9m+7478gpLx9FX75omNrHxeA4cXqErzBUFz6WMcLni/4qY6747s81nu4BrDTrDt+Mz/6/Do/ncelleoRtND3PUinDoHAFaDew0bQsNtbagyvQ7bPerK2Q/3K7wKW5P+uWbe+lF9F68v/l6+6npdPn2S0zuWTQ3v7bSuwv3at87r2qfzwakyvAGrHch3h/kZ7AvnVR0/A7RU4egLVF+TXeWmmTrsldVcv44kL+HzHttwMxQ3+1kmuDPV9nwV9qwGe5s52wQYFtV3vfnYdqLVm2e/645Nuz0DzYqa7lk88pnWN9HsDZl23Bv9qjysXDfrdoMOVn/JHD4uqE3d1yCsnDvjXL3xwsc7Vv9dWtv9ihgbJy9NPePN98mk7TB9t1Hnd4PutUmpQsut89W1pVLx9eUofDawUV1cuak/ZiG7vIQPNZpLLrmlpTndzajnL7wtKCARdh+vyhNYM+/v8hzqcDZxdvr022/tW9fhOYBg+/EsPZfjXiX7CXU9+Gf3ctacDtiYO8cLbdUQvTnq6T/V2x1bex5PVBx+pU7sI+sDCbvTTP/3T70pFOTQ3QsoB3eCk/k3mGrsurEnJ2M2h/a3f+q13ESbROdFOZXAAWU8/ZogYGRkCpxLPadr77ccyjo21pSEVZAT2P0Mxp8v/Dl3qQpgvpVpDZWEdlOBUVIy1Zp6by8p2v/rVr76dnDzndKcFK/Gbw4ce64eTNAdGYGDzXb+cJMeyKxGsM+00Owy5zzmczYC4l0yjKLSDpsqsa4DA5uLEX/RwkrXHPS2rvPEvU7++9kzb/W4HINkf6zAOSrbBFkfD3+fa1uDVYKPJWiOe+NbYrxNinSu4pV2BqDFwNDbP7mku6HFfWfQ+xqHy1H6fxrTP198c2Y1r/LBs7dZs/ys3f6VkbqPs0cNYLsj0TGC0UJp7y7Ws3TVOT6Dtw9qTg9s5NdreOdABdJl1MycVBXQPXdNSsH3vfwEVa6Taofqu1Sm+axT8gmjXkVHzwZv6LE05kYsma+OvBYk8ysGYGMkL/OjdOoHmq+QR/90qD3LmBNBdo0pkr/Ux3saDT6BT3+ZbWqz1YJ/17bR2pWQCrP1d9W9l1XyfwGUN9wUvQAdaAZhanQpZCVUvvX/bBfXlibXrEL0C2w1KAns3U3N1iHv1xdZXThscup9VbivTxtPxX1zQa6/c6BftbwCjzT5tvAd8NtvQUtHSrxUNDT51/OZ6t4ewQd1yxM7eTO2drznvRedsHH0udLPErwB36fvkHN3WrL/yWvxcvXgdwlc6l+yvqZzrmRHXyWvwrzoSZpJtpUuNt4mE8kYfIbn/BRU46hdIW9M6dp5CYc/+qkKsMf4oT9QWdMuLIIZrWhp+54v2F/z7/mkNnSg/ndozUSp/nVeDMPf7K5d1fP1fO0Mvan2qBr2PB6pnNk8BmyfbbK3xigpFZef6fMIMPfeh967jpl+VDXA4vuXkyuQWn2vkg122Pl1HtEUnY7xj6PgaYG5l0tp4cfhfggh2/3/ksC7jtm5rtwqhuqcJn8nLsGKxnafWcKZ7fk9pXdvTNeladCviU6ADDdD9Y3FqJ8ib4ADDJjFC7jMgzmljDKVMGkViUaoMq0yAwDpQJr/7TUhd6zES3W9o0bqX9EYZJuxTTn2e2dr2cC77PIdpxKcAGRZ9XdCDIZrVxMyNQrkPIzrazSmbM1cnukrF3DmSxjA6fO5zn3v33fYZz8EFutFZBrCGaH3v3mNW60NBUCQOa9L8frTD1MC+59/t3k6lrgEaaO6aAMzNOG48hGh9cVRljTsffQycjw7WYPftY0XQ+tL0Bhoa8GijuGuwb7naBYu7lgHzu8sz5UnrOnp71ub+716sHh7WRxvUCF1A0+xHDSceAv4djjbw//Wvf/2N92vw20qLp1Y5QdeCb0Ef63vbdV6uHLjmaVxV1N0PcoNleMJ4L+DWn34o3QazOGP7jceXFcRyjtyXM8XgbZzAVx2LOnCvjEDn2/8vyN57jgeeU5Gyl7Z5LIC0MxJsAcCD5Xe81f067tOAQPfK1tkGDjziwToIeGwcC1IBfOhE1lp+1LUlE/ic3K1t37zPN7c6D9b0BgnKC82+1+g2qHmBqHnhfSC4IOjyJSexj0xq2RfbQt/6Wxm/DmwdUq029dqkm60pD16wjwbVycYngP3kpLa/8nDn8apVd16ZuHYWDrkgaNt3Zi+sbQ9d8lfQwzzRpbzXYObVieTYmG+W1nyvrW8Q4PLb5Ts2vfjjOnJP/5PF8m7XoTS913ROl48uEH1au8uDDZDsf/IxTPJkO8mF+dY+dg07/ma16Op7zgH6NxBozoJj7Mqu95i76dBuvyo/3Ez3xSO1idYQ7q0sSYy0hPTuoX2yD8PFu2bOznQqmbg6petbTHGDIKVtZcX7y38dn3vs/gKX9PbFZHXa+Q579dAzdtcYWh7dz1+1BuLqXLZKx1rzJ4r3/K0N7Vgc4qokuPqhwezKSYMCXRtOLp7sU2bQAh4v7v1fH+i12lEBsXtgZe3lDVBUT5ljtxs5p4LPYU8tB9c9jMf8rBV8VZ3yRJ+rgz5yp5ZDVANYQ9r9ghtg97v2gA+CXSVXkF+HzGLZ52kBZBAxjL22zSBg2C6eGn6ZAYRfpkwpb4Wuju91IGqMKzAidxVUiyILOAVuviLGN+JuUWu0zZ8jSIAIPsZrdHgNsJYBlK1z30ZorME+x3j77Dq16vzNG4BrOYRyQkpZmTGDoXTavYEjY9JPaUlwyn/dz1eQUT59MrKMSkEQRVzj/dRPFUKBZRX7BZ9+2z2F3dNQY36jfPfeHdMF5TWENyrntXURhKCkClAL6jr+J6BambaWwOX4onqDg9cM1nUO2v+r//vbK5/+b5/ljVdg8IK0yiSga36ct8qO9UM3clg9cml5lfZdz3ttW3mg2V3jdU/VKd1T6xT5BZ6U89fpvoGGBvku/wGHDezVSJcnev8+tqpr2WDRk1N7nbHrfMyIb04CmQ6jI48tG32i+12P6v3q/hp/YBTPq2a5YL+gsvxGXrqOpeUFjpd/72dXRuocoV+D0HWw3senVzfp6yl7hAdK035WejyNu/30/RMQuq+22frpuyfas3k3Y+r9pUGveXIsOsaOrY5y+2i7AP+pdR3ZPqD8Bggqh12Dq3de/c4c6jg8jfVVYOLO8erZrlf37APkN2Bw+fB9NCqtOIRPlQnVWcYMo7SvBpz0Vz3VOd/XGnxqjn7Xz9iMYr6rz2/Qqc2jITlXde6LAboOHXPpUl18W/XNtRE+63kJezUYUftxZb9juTpSEFRgfq3lyPouFuvndZIu7149awwdl3FcXuPYluf6qnxe3Fqeh60b8Kj+cH9VkZ7z20DOd52q0Dr++qteEGDWR+df7HvXnN3f33sQXgNHXVP9480n29a5us/7ZP0v5NTuZhPsnUi7zKCyNaUDnBoOCSbee8fab3A3itb0uoiaFPd+Owds+3hXLmlfZEslbY4HMBhojhxC7zPKaFHbGbpFtAD7ZTx3/2WsNscB+50MjNjAkEW+DIB5jKFKxP13z/W9Me/AJ457SwbaWr5UIeU8z1AvK1Gm2bpsHkpZOY83sljH5+7tNFfPj9xabM0HED1gfOtSY+G3+hM4IKjLmOzU6V0vurTIImWvL8AO3SgwETzlJxzmHiX/xtTnOHSC2L/a7sFh1zYOPLG5ovlVsNa9fwuc/e++NSSjkwOsXj0IHCiuAm8m8joVlSkv478Kfb9VWkJulafvnstsNFravutI1AG6FQLTDXstEyzSrUyFA3jX56nh1etgvlrPKva2lmxzgmrg3Iu89XAhukvJ017kwF5l/NfsIlr08IvqBUahAOI6KzXMpcnlgdLngo2tg2yt5hFPG8MO/1tkfzxB5/kt2QNM6MBXBqnZzBrYRmf3//RBH0/m93Ww9tmukd1/mu99L8uyLLSD+KYLN9/dS9m4YJm53ufJVm57iF0BlGoSVRSzIbZMyCxcZ8FftMJf3bLSCqTKQPnfnDuHV2D3Agk2gYz3YL/7u8p779kgxe7bUr07hvc5thdQPsmuexaIPzmN6NrgydrsjABq1w9v7reCqdfpLEgu7Z/0V53+8rxA793ycOff3xXYd9wXDDeTJGBoXh2PPvTp/VPQEqBtWeQTsO1aPGVqb/ID/co/ArvVLQ2Wlw9fBQK6LqULR8E2kKdKCDq+c5fAWevYJAbo8utkX56vTJWON0lRmgqMla8vr77aquA5sz1wyWGj2i2V7hwq36Xh1T1+Zw2tT/X7bA0d3qBn16d0e8JodZT077yEfS5BBCNdu84pu7rSdeXFYm14567rdWh9tmtlY69Dq//KwHW08WSDzu5tLYxrf2fP8UnH8Kc5u0iGXh91KI238rAx7v7FIvpDL5hUIK12rw55ndqee1O5L5atDur2BO1jc2onMBvUmHWDVlLYkmGR9yqh/XVstQwrZ9OeI8B6xJFVmBO1xztI66/U2fNFARebv+2N4sxhYGDbxmYAZEZuAuG1PbsDWQP2E5oBk81vQK/CtPEp2b0ggFLl0JqnvTMcsQGe0XAO9RoHvEBOq2GsMWrtfaO/1sljAPpdQYF+MVjLnL1XQmFP7m/+5m++Y97dY+XTo6NmDYH9zb2HPe2RTF/84hff3m9sP//zP/+WJbIXoFmTllt3DwAgtnUkONfgPjm0lE3ptM/2+607IF++AfwohK2be4vsAxI1DATUOjUIIopqfta95e4eKk6OqngKJABzTtQFPNcoGqt+1jxSyhrvNXqM1ydv4/81e7EFHDrXGoRrDD0n157nG4n7Vpt7vQK8eMW872+fgJnvlGJr5tESNHrE3h5l/oIsoxmdt/Uj44wPg34fFF+AXJlu1reA67aCSjzQqCtZdop452kc4/3x34Jje3zWT/zET7yrqmggr1ncfSYg51519q0BmcOTDLLD6vAIp3nX2TvIOANm9IZ5c4gLENFs/ayP6fbPfOYzb+X1011f/vKX33TO9Nb+9nCNyyvVEwAuMICPVMfs891jdmQyNBoo+Xq1bnXEyhOV5Tu2rl1Bte+tx3VAakfW7jYK8vOqOsM6trqmgK/ZTvZMn9eJfOJdf590eIHddWrL47Vnt/x4fKA0npOy/2EH2Y4CuidwWTuKVwp4C8w4UwK9gvzd1nBBvbm8yjyPtn0cnd+gRwPW93mnl6Z1TG8Q6jqr/je26vonJ18f9Af9Z3z4pdcJwNK3bA3dYP7G1bF2LmymcU7X4Hl6SxJkct3D6u6ZB/h4OnJ6Hg7rSbnNQDazZa0bCC+97zo3AGK+xWqVFTQsZnL/fbd52ltrC9eT84p/OS/05hPeqKw3eKTiiu73mr6F1+Z4Xh4pT16ntphiDXZ2/frfmqxPlUYCDg0IWdPSqTy7a9krtG/lY9fP626fmq1f/5tj5bklw52zMUiAdUwdYz8n583c+252tEHa74pt8oz20aePTyr9971kYpOUZLS6F223Hq0w3f8OoV0/PSCS7Pf8CnwKk9WHbKCy/39smdobuWC0vYA+kRpOHiLuc+CYE+URIw4ykVoHDtYcOuRQIMrPoohyyyoihAOhCAciK4dkJD75yU++XTNBpFz97TMOZYhbssVRwqiiI2u+A8o2V5lUkZQ6wgWxa+ZRZdKoU4HXWh2OAvka5ipVgsKY3pJQjurGu/VsFtYYGgFixAtK9SHCZizWWdCjBhQTM17AWhm+/zOEePMqz5s9KhCUyem8q2CeIvd4nNOP3gU9fsOYlt4+J1c+F/1qhLP379p2f8QFY0/R9/ZjnPoBAip7LdXijFOSlx74wBi6z/Nmmsuvl+YXeF1w/u22O+/r1KLVlHGVbH9PNmv0OKwyt61YGC/vO+vCOKBttydYpwtOOl9j7t9raPWB1wug7rP3buMgTvfOMZt+XSXLDqDzmIICML8xxkavn0AwR63jaAT4ntp4AXgDcL3uzv8GA9Fq85kTu/s7f4CDv4oE+8grD05gNgevm0VxyNp+6zFpgC67UX67+qn0enpdsPcUvLvg8LYbeHKtYGad2TrST0HQW5HQeXFqG8G/4ywNOrdXrUDnguoGNF45gZoMZkG6eV/n/tK3IPg64BcPkY0bLO72oqc5X9tcmt/g5PoCKhvAWh89D4GDVoD/YXR+pWv9b1yyMr4rbUqH2ttikK6ftWAXaz9f0ezai/bVa1T8ubdg3fTaPluQrPq4gQb7FlW4lC+Kn56cs8snl35rl0caoCmoLz07Nw5oGxyFPzZ3fZfH+ztrxyHHY5ee1qWBDfrcbwTuBcHpgrtf/drlrikae8ESnC3XDaNwuuxx5vhWp7HLbeaKl5vQYcufgjcXo6ypumtgrPQuvZ5sW3VL9Up1S/UWHd0gDXn8X3mWsmvqk11/QFMdC4/jzfJunVN4cS8ZXzTj2+x/31WHtT/0vFWG9/ry/kfq1CoHtod1NzPBbj5GkK997WvvFCuGGfE4qxYDYN7fZUg5uA7a2KTnhA5oyXqWSYBIDCkzyEnr4mC0/YbA7/NPfepT77KQTmrb3ykzJQ4DQHsPKIpGtOyAcDeiKAKiBr4ONgF0gvAtnS24uVEayrWgoVmdq1jLKFeJNkqoH0ag2Vvr75RlDLnm2s1VZloUBk0HLq0nod7LIREylk8CXmETxTXfljdcxUOxMQJdGwI9QKoVaBboeRXoFUBZx4K+XasM3nwpaGBYlGytJ2LjW3NhBLwaBaO4C4guqOhcOPP+F/2nnHpSLgN3o7Lurf99T5GqZJC1KZ2qqEvzC6jMqdc+GZXSCJ36vuCorY7R5LwGWLNeDchNfzn1XWBK2U6dtII4WYn9XkDt6qSnMRY41yDg557O3QxiS8GBj/JZdYsg3PTmDq5b2e62YHzhC194c3LHBw6Scv+uJYBQHdPv6IYefrLrOX33AIvrBNWpvMGJ8nj1RaPBnPR9J2O7JpA1naTqSHXNrsd7MvNK6ecUCxAIhlQmbQtR8tdS2CcwXsBxndk7pwugK9vlD9dYf7a2VVQ9zKRZjfKh8cluAbHXAWDnGtQtaOqa3rldmXz63Fiqm8tvddrrAGrA3wVpdy+x9bmBZfR/NaaOpw4POXyia+dY4Frbcp3aXUfv0slkStZZuwd3XQfi6ltz7Wc3yFh99gS+265tpEPLpw1UoZv+msW6cvAkC9UF+oZHem/PaN+1cAxsUb4e/lwWbHqC7msQWf9t5ZErxz6jLxvoa2lpzkXX+QABAABJREFU+dgaXCfEGnhKwz3lW7VXMeeT3UQv9C/+pCt6zyZAJGl6cOheggCbl8dD3lLjpwBm7by+yKGzYKwrfp8+VtnZA1Dp4f2evan81aktxu1Wq8rfdWzb+AmzIXVgzbnBxCen1hrTtf6X9ECb4sCWwnviCJ9pTeIOHfABW1s56n7YOvjrT5BsL4cDS1SQ1/KNBN4NCGw8t2S/82sQ5/oqDQR95E7tr/3ar70xzU/91E99097JAlxAZZPbPtgaEMBqjDilIrLtVE6PNGFA9z3mK6PaA6Q8DuN6jIPsbPcTru2vTIk9hPYFK2vbNcra9vvNd+NRogqsACweF+PUOb8r6CyQvIvTLG8DABrG0DB+wV+Z44L+C4LLvN1jVTr1dMZGZHdKKnorJ2lkjwJyMJBTjAH9H/3RH/3EZz/72XdO1Mod7W9z8FWVb4GCtrWhrOo8AI5VileJN8NdBTs++r3f+7131zmxtmDHWlBarVC40f4LGMzrZjAYxTlIHi4uYASE1tg3CsfBBPRlmsyvBr5gCf937xI+XrnxHJqti6w6ujGU5Q9Gxxy797lGjqID8rpO5dtrVJ/kpTxdJd/PjOkVMKs8AD1zdOzNsS4b6/TRdMN+t/fTW/Zn9sTwnvq994y9e++z6ZCBEOOT8S7oND5rU16l3AVDmkEtWKIj0FQJHsNX2vpNSyK3ReArX/nKJ/7Vv/pXbzxhOwNami9e3j086m0vpdh1iBislonNOWTw7LXm2Fmrzr/BolshhEcL1OpIiOCvFLmnu89e7HUdxVtd0JPHAV/P2S4obyCnALV87v8bGKMnesBiHYmCsgsGn5xD33HIC352n+m90WWyb/9xA3ACa7tu663SoDZd8Gr36/5oj6xppu2u1yuH9sr602cFPBeA1pnS6ghWD3RrRzNflwerz57Gt1czPACmTB691oDLdfDuXPqsUd/3foDr/lqb6TGYBPBtYLDBMzJ5MUN1c537YgVBAnxZvtacr9LtOWhzaX/X+o7zBgQuXjFWa7DGRtr+Qc8NxzkrZHZ/+sAYW3XVff/mirbkGi8+VdqUxn0P4zXQ1KBR9frl4dpztqBtfUwnLUmz8xJgbnKN5+A196UvixvqoFljgV1JKXqBrpt+56iPrsPFxazlrwYD2bObIGhFExztWgkxfoOtQLNZTTiR/QZJrv7oNsgbVKqjy+e5bZ+P3niBjTaf6kbrZkzoXaxNFxZXtrIPbnYiNzr8yQdbGtsHWnpijK2g7KM5cZbZNMkJPNstJaUDOdbHxiQhaU3rSGvN1NepJXul8xPNPxKndgcbLbK1Z9RWuXZwFToG3uLJ1t3MoJJcBrdlUQM+uyfDDEgsk4Dhds2U+cDJlBDQcg2YTAXh8ozOXfvbv/3bbwwh21TQ6/dbGICAgGEmioNxuE4PWtlLfOmGCW9r5KKg6vZdI9w+ff4UdfJ7SmUvyr3KRunWnB2/7WE/17nzHni9zjdhmRPRPaH2qgICVQqNflvDBlDc8wKa0vRGPN1Dv/c3d07lcd/33g1QdG36vVZFqsqAURYYwWM1mJxHwaTyBLlp5LdRuGbvZF/LJxTZk4PQ+d5sGh4r79xATMG5+z1d8+SAvmqvrn8Vka6zj17AZ4NH+9vnGlLYnN/pmAF9TsDu51E1m3sf48L5mfH32Ca/w+cde3lIu45BA1S97mawSvdmAW670WNGZmOdbrUvquCSLrsOnfk3yMm52YsTxGADU42sV47do/Mu4KmuaxDqljN5T/fsf2VZBdD6bJBuMmSfr4ASXmnlB0BU0PmUNXzi/dLeZx3/kzxcftdvQUK3hACggDPA66CzOrXNBHY/NtBPv6OV0kPrf0HjrY4x7vJov+/fK7uVCWvRoE+vuzx+g450INm62czel21tewokoZuxdX9idTue168+6kw0KFKegY+u42Pr1V6cL+vTU7rJrDneypJLM816m1f5+/J5MR75YV8aYL44rc4sXuvadT2Kh65s0IOCevZU/87v/M5bIHm/GdCfk4uXG5zb753xsn52NoT51qY3ydC1vtkm2IZuroxex6l0fcpa0Z+3bbzmXAe6exZLxwY6+lnvV/7b+2J1uqHbp+gGmdz9b9tSZYaewe8CQ3Vq6K4GUNZkz+FzgWhBNxWdspXu86QnivWLlzr/6uwnnI7fi6/wejO3te+10Q32PQX9qreKOVVNtiLkzx/Kpd27wYGuVe1eH8nTwCo8ixdukM5f92MTjKOOrTmT/Rv8ubb722nfllPrYI8Lpq7BqFN7I24ErOXHjG09e0SYo7r77rXvFwnatfurH2VhHNopLIS4wioLuj7+6I/+6J0zs3tOITACfiPbop863HXmgAILZ09WmRiQwhTN8L1qZdAucunquifD4LMnkNUIkKwgpdy1w/iyqU/A+fJC59b7UGYiRhSzqJOSPmtibgULSo8BgzrgFSzjeaKp37yK7GvmUfBa+tWYFWSXlvfeNVbdUwOA7i/wWQDS/c/4p05tZQodqqifyraruDoPYKv8wym44Ke0KM81gFDw+qSsLtAvL79ax97HNb3vBbbNTKCN0qXrBM4YT5+IvG5+9l47BKqRYGB/r1aQTCcMOAEDgmLuh0euYbtObcHl5fPrGLwy2tepfeU4N/Iq4ALYFfQXLFdXmIv5c5a6RUV2oBUXlaHaEDJGTu3TedqLS64dIFjHgANrvE7k7/zbL37e/Jt17BpWv5e+1S1PwZs6Xl27a0MveLh6/UkeAO2WN8rkefXcCNt58HO3RtBFgjyyXkqsay/opmZXvL82rrrh0ubO78m5LE1Kz1dOrTFeUGv9rx1+uicdcsfcoEvtSXmr4Hi/kcWsU3uDEQ1EurdrAdNd0wNYip9mR/e96raCW+M1nie+ujr3yhhZr5PW1rngY45NwXKxS8dBvlq9c39Tp7b9XD6aTh4NPMVhT2HAm3QCp7Z8x6nddw4CWvPkgMp5+eBiLvbmZt6La5r5RdO7TuXdJ6d2a052jbUOJV4vjz/JxpMD6POeC6MqiS2Cn9HzPjKweM/6wiscy+pTSSNONL5rxQld0ozj5qw6h526slleKha7QYXSH62uXLgOHTYPj7KsLPS+xV21qa+y/uX52mGHQO377/ugYq/r5nq0guf7iE84WjVhebv64Org8lHpVB/q6uwnXFh+7W+urfzInVrAZM4gpw3zUwyYiwADED6zb3bAcH/3sseW8jNBG6+XId71i0goMbAxHIi0+X9js2cK2Kxjtf4oNoe5rJ9lbSmKCgAwR+mUod1/309493vAwAEiQEIjKYwQJsY8XVgNbYGFMpFrjYugFBQX1JbpGgE1jn1uzS5A8J31tvZlZmuoT8pMBk9N/35P4DtmZQ+7VukVJYPOFF0N4HXy/b1ze6Kr+1xF0nWos3f7uUa+JRo9HARA7O/Mvw6EwxU4uMAJvsI/CzA4vRWwBFbvutRhxpee9evRSldR18hV6fa7OmfX6OIRNGv0E2/dMnvG/pUDe1sV64dd569x2AejLLjO+mi0aP6qN1ae9jM/8zNvp0B7BuB+5/Ff3Q+q730+0OMcAEbWY14Y25ZrX34DWhtUakXBdRrQ7pZgAiItEyvNW0aEz+l2vNlSJO89Z1s2ts65ceObVrDcta+ucP/qtl0vuytog28FOAusrbG/su2CqfufMfd7GYddL8Lf6HUdfjLFnq1Zv7ud4zq07eMCqv4PfKBPX/oTHKi+r9PCDqsQcKr5+Hbv9zmgvvW275DeohfWz+gGyC64zKH9/u///nfr1SxldX1tTANfTw4T+tQpueCmzmJ1STMtdQQ145jsNrBu/YC56oiOrU4rJ73BA+NtdYzP8AX+pd+dsgpUdlvBrt1YCyrhI7KAFwSbBen2ucqRfecAnX3eveu1ZWTu6sq7NuVXa2o89xC6BtKuk997FfPp7+qT3r//P+kUbf0Ino9vW00wp3a0Gv7cNjmBnLU+a9r1Trg391UKChTU6XsKjqNlnaUGnBuI1t91oC6t9n8dVW0YymFRtpx4tA4ZhTcriwIvnEqVeMZqT/He2za4z0aT9Tta7N4w7/6OrrOfs6XTOw56XXmw7UwL+Pb04T4GbfcenrdFceW95HS/ryPHDtoyJHhXHnXSdemwJsh6gwnF1+j+qtWGVqbgVOu9z1qtRE/eIN8N1F7sXluE9oK5f3aevlGaNQjd/oydbnDvBvXLg09+ihedNnoLipvTrVrBY5X3i8ffR/e/sFM7ED0jqAx4A2nJ1Y00VQG2zn6vOrlX8T1FDGRC7QFS1oC5X2WpgHgAW9mC0gXCjuiuwxDGhLlalmmxMNnNsOiz0auW5jWyuAZoXEVemrYZAwO1/jq+OhoEE7Pefbhq80XiXdv3pa81MTYObcdjDTBoD6qxF6jOKTA1RWdPYkGbPgkboFAw1uhSf3sjkujHUPXRRI2EPgUBWkbtZQzdP1RlUIXZ+QLXHA+n6uJpsuZxVLJe+92+s99R5rqAan+bYVn/Ioiel2wMVZQFzwWkaxeklieraKt8L5CvfijNL39fkNUxXUfbtdc4XBBUvlE6hUfx63hCNP83fuM33srux9fbpyQoNjAkgyc6OuDkt9ujOH251ozZgmccp6cSb628d/WMOVTHMgx1cF0nMMJwlzaV2QYhur79XECErvFdgwLlm65dS8U4mABxdbzMIfkl8/utcxY2BgaTIwGwcGbJgzUDKvuc2vKX4Cq6NLvcjECfJ7vWQENloDzf1jWjm9kiNq0gmTxeh7Dy1Vf5QKbDmRUDlztLYn837vHoeHW6oEFTB2AJ8nCKd/jjPqOzdo1zJqoP6tRdZ+QG0Fxz7V5/e51atOv76wjfdoPu+M61bHMDGdak9oS8qHCqQ9stIALieMbLViyPiPG4IRVfZGM0r4NDlu8c63CQ8coOGeAI4f3Lk82iVB8X4Dao43fVI7fPBhu6V7uVEbUX1vTa/er+ypV79j0ct/UZbcfjCy7CFB4zt/fdAkX2OAYcWi9bKYYV9tr6XToa+ysnh96+FVrFBtW/dfbLC76/dmOy7ETnfT9Z36vPqV1rJd0NWN8sPH62zoKz6D3a7p7O5MBD0+MOlvtP/+k/vUuY2D6438220unKlWvfZ0v3/eawe+63DhsVMBXkZDMFriY/xWhXb1RfyPrirQbkilVaSdh216FVcR4zpP970n7ne9fDe/1dXMU+CzSuVT72MgbBZ0kUL9ny4pDygM8afKqfVCfX7/CRdUHTzo/+pJ/uPVxXzPmRO7We7frkMPTVDF8VTkufmurvInAaOIGM5SY2BQQQVrk3E6VvTMvwiqQrm+ieA5nAHoBznSAKqZGzW8qHQeu0+m2VSBep8+jBMtqlbRe7hq0K8QIBa1IwdCOALQ20Dk8K+ZbP6A89CkApKo4eQ1FlTujcU+CAAfSZcZa3Op4LJNGqNFjrusgk772Dwi5d+/9VPA2WNMrs+xuRbtQNzWVM9wJInDRrv6do88YoiwT4O2FQFJryQ+s6yPamAE+UaktFyhudf9vlowuIypP4pHz5BPYvMH3q60YIawyusu+r82hGo3t1yC6ado9Tsz+Mnb6qjAUhWrY8QEUnrR8H2XHgntoTwCwfVQY6DsDH+8pEDzspPWrgn9awjnP5nNze8t8bVOg9WolT/WBcsrDT8wJHbAR5FxD1bD2gSYlsS8qtG2ANaNVpkQXHA/Qwmvi8/MZeXGPfwNUrB6u6+ernBiHqHBrnK/lrn1febgYTvUcfJ2XuXgJm+mvWreXH9p+vnwV2nCrN/vRwl6d5a9WNfV3dUP68NHvCG1dXVaY4IPiuJenWla3GC7W11SGvHCyv6lvB9T4SzRisEUfTfnwHal5AXefHuGXVyQvZ7CFRxTXXnlV/Xr1RXXSDCmjRIFtbZbxVDNeJ0nd54uLH4rHagWKRzqug2mnu9Pv43PkgAsZ0WYPSDVisL7ppOHi/6yO7ypudQ2nRuXRLRPm7CRQBlAYVKv/tV4OZh9M3zsnt9gw3QdDkTW19+apZTPxM7unWzWP0Gn2nB+bUji6VWQmK9Tl+3neyu92X6zcSO8bo5P3pfZ83iWDN5tDZF737zrFlj1W4oV351rxbtl8erczsM+N9atUVlZXetzqqc+j96viVrzre2uU6id93ghd8FjRolUb1dpNe5QHntxRfdcxPzmY/43Dzr3pNkymlvb4re0+B0I/EqV25UY/MNnjCz+NvpsBLhEPJTR9xU1DV/VdjVOVRE9I9S9Z9m0a3L9c+OIKBiBZymRTPWq3yIgiEQ9ZLGvw6yBalSqsROlG9OnsYUzSloLGZNX+1CwIxyivgXqXY79GsTHUjv2uj2dam38lsNaOONjVKN7PAmZJJlPHAD5RiDxBAawbZgTqdY7P8SsZE4m5UhzEwl+5pXj8e5fKDP/iD30TDJwNtzi3R0JcsMVB0HeryOIDaUmwGzkl+SnzGy43EqVaYAVGuA5Aap9Ig9CBTymc50Qwz49m9kddwlv4NEFzgWqf9FXC/DmxpXsV6y6jd8zrS1wD0vv28emi6QKmTUqhmm0Yr5d3TO043X2BhgMjefQEHvwGStgajsetEtreuTlSebqvsoe2d1zVmd59dDdwF3IAIUF2+LnhEY0as/Rd4u7bAiIxVHu6aGLd5+R0QLxMwORp9Rxv71jhKa54vCcyoulnmEd+TGzpLdszJpdVP7Ag93/MdBDG6b/QaczTGW1qDhhfcXtCunwb9noD9lZduY7n80vvgl33vRPrZU1UFnsG5R9aRA/v5OWv77e43vpXh9HgjDvOaANt1Lp7mfJ3C2sDqT/bw8ip6tcrrlXO7a2wXMh+ZWdc6o+GCqgauys+vAkT0MryBL+mzjWM8NlrZBiFQ2aDM6Fvn25Mhype2AnQftKDwDSajgcx697A3YHUDBpeO5t6AkfdtaAIHyFA1eUBOAOiucfu5jh8bVczR8mL3GG3Yv9/6rd96q75hp/bijLl+952e2P/K9Tc3JZ70/+xBdR9s6PC54rg6RR136Vb+6XPgW/3o8MEbmG/DH3tNxpWlOigKPa19x3YDmmxh17hZ241zNvKHfuiH3ujhiRjuv9/s+91nj4f79//+33/TIzs3PtnaOjflS1lXgYhdv/vQT+xAn7ZBNvgF+K7Yq7ibjiku8V2dKY75ssZt9Qn6WeWuDp1xN3lXe0Eeb8BOM96Lc/DG96XU2PabBhxvQqt0ETRwXbdirsEAdEHnffGEzznUzszxXbfqSUj2c/xwgy8fqVM7cCcSw9hhHoMvuLoR0VsO5v86XZQxULkIGzDv2VvKeQtaJizK/0SGAHqEB2ILUiia3W/75nbP/b9afgJVJ5ICbTRrTSSsjOWaOlLN9vq+dCqzrSnPdp3vy5hlzieDUIe2gtLMXa9nuESZBSCAAPst7vxacnYdUApKlp1zYX/b/uIJ+4GskWeouof/7ddtBO+WTKzVoWzjOFEyr5zYGlI0tG+lEeYCOPfrvbu3kPJeU/2gjxnS7scFSnuIFKAkcjwZcT0QT8kXiPeAAAe9GNPNCj1F4Z54robi6bpGo9HvKuq2KsYC3gKb7vsuCL7jK1gQCBnd7KG0V9SjZkbDGc8f+ZEfeQP5nNX9nX6ZUZNt2W/xrKzsXvvdrvPYKlH+3QNgBXLrwBjvWgNQ5eFL3/Jfo9zlYfO9e86uY1AQc0FV9ZTWipiWrlb/dD04rYzU6GHdxvMAz3hz0f+9ps8Fr1oGDATLiO23StSc1Gvcu8+AawMJDRB2C4H3MurWrhn68nEzqxsHR/9Vu3xsjTqvvu/1F8y3LLyAtPqoj7bY+g8UAoijBz4UUJPJok+VXNIFP/zDP/xu/g1qOLuC43gz+JXHymx55Qa+rg6pHmhwtfqkurdNyTCnlg0CHjlpPYTsOlGdww0i3PGu39FkfLRM2fjbNaO74Jd9htYITTYWvM8JwJNKw+GkraX+6JmevyBoySk2d7iqTsyT3izPNyjZgMKTU9uKNXJqy0HtDl6Bc2720Pr7rkHOqwu7BanZyOmSz3/+82/7POeEbRsI/DqMifajMZoVbwmy9TR337UU+wa76rS3KrF8e+dQ/eRaOIxsrk3nXZv75S9/+Z1sk+kGW8hCAxnVYZVb44EVG1jmXM7Wjbb3IDLrABv+2I/92JsMLKgwGvtc1lYSw5aeluWOn+H/bnWow4//NsZdv9/v+m0fUqVkHW4yDr1vUMf1bOz63BwWyHtqDUjXP8KX1c9rMGEf89jqjQZfYIU28668/KWU0e+vvfRwzF1XslnZtXZdz+rJa7saAMfzDfJUr1xa1VaxZZeOTbB95E4tBdz9S83SPf0toKmibISqiyHbsXtNYKpwEBYhOLTdwyJSVaJ03y+G7qKNqUSMJqBrdcQaCb4RE+0ySrN6ZeICxhqQjqmNY3mjFRcEF9S8MuwteWlp6j2UwTh7GnWdLoCyziTDfzM4BQbrq4dxtKTF4V+c2jrMHIj1aY/0vvP80EaZGjXr/Ltunec1Cv2+BpwTWrrf/vFXsydPzp/1QyuOlbb9PvaKiOpX6axPUUh9oJW+AByVAdamh5LciN0r3nmfc9s5lu6V+5s96X3aV+lOEdb5rRP36rd3/Xvv8v4+J/vAHTkQuBsNu5eoJYQN0K2JFivHsofF4RnKxyn+e4Ju53H1ZvXME193ro14+0vOn4IOBaeylU9BjVcBOWtRp7ZZ27sedWoFuMiWsdrb6hAo9OuJmfheoMIj3W4ma3+3HrbO9FCOq9MADL+3RsBPQXL1Qv82qFU6lY5PPG1eBQZ1ov1fWS4IvtHyNfyNjwULNzeO/r4D+HpwGb3bx2LQuZ2LMv2nKpb7unN++qyvp+/wVx3a6umrazS8T+cDc9160RLF66BV/so3lVPf08FKIjkX9AVdsmu2JgJq92CtPlu654bIusmeNbDR7EcBM8yllHTXtxwRT+Ob6iP0Qrv7qixcWnFUuj2M3FdGro2pjF6+vljn/q46sDJHHjh8cGH3xjpTZI0coFVxW3Uc+uKbi3saHLh642nsla/arcr4Xqqx2r7+9a+/6U8l1f2+snOd2gYn60h1HuZqX7HDENHLvKrzrc9ovkpPcy6mrn5lZ8gRfAkLNfhYGtEH5IHzv3EqRZa1vftKjbU8W73ddWH/vxU81CBd73ExYQOh9TOKBdqP35aPjPG7z2nclR1r0//7cv/pJtc1EVN/jf9VOayc3eBI5dfvn/wd7QnjfSxOrUOadkP7wp6yszfaehUURm6pkajwBGXGdg7mosIDJCJFnLtGWqrwe1pdhZbDW4KKZmw+Ik4iXMZNMGRsy2Qf5jRVyHrfMmAVMCN0QZAM6WWAMqjfN3CwdjMG91FKaHcPO2CIe6Jhha8ROHS25gzp3RTOCBvfNbDG1z0LwKxyIM9TtH5bKxHErslV/m0Er5mo0rutBpvz32sLbKqIOu9mK+5v+zmFrWTMAQqLKI//+ogfDi0DjE7WB4C3DmijVOfy0QVEIovGedv76Hud2icn7RWtqzMKovRbgFPnxnV3/e84m1lYk9WQvXK9SO/ot+wfOfByYrI9ieTaejjVkcM8mq/PZjfpzwbbSsuCoPL2BYJXn9RgAQi2XFzaoyM9LhN6K1msB9nrWl4+N8c6i3QEfqSXVRfsheYbj3Jtenfftzy8pf6cWo98A2h6/sJsiOh/ebD8s0Y+do1DfPQPJAC6BapPco++T05ty97K70+H313ZbebnAv3yOx3tULj1KStC1sf3DgjUBx0E6He/WrNreJQeUr3gmcZPOvXK8H3/5JyizQ0YN1P7ysm6+gUtOcO2dljbrlf3IHbsHXftrfsViK/ySxB2/XWfHzrZXuXRGnDJfuMU1wak6CVYpwEc2TL8Ym+l+bieTbemdWYaZKuOaCktXXCD/a+cWnhj/XocY/We+zRTc6siyicNJtSJck/rXR3aMxToG2X2PflY5rr2Bc/BKpXB8ojvGtAvDqxuxoOdH/m7PEYP3Wo7e1Hbdtowmy+gNTx99XiTJMbS9VcJaZ7+7vPZtuETwRj0IUfVRQIvG8sy5K6fjseTxtDgJjnACyoPjOXJqaWrjWsvJzDv8+m/jf3akPKNvoshalvx0FO7fkHXuvahybEmgegiWKX9NvBQvGD++PDPPpBv8tTza6686XOfmdPeOzfBetAv+GHX9DFi1X+1VfXVOqcnzPBERzT02cfi1DYC0H0SuyFnqc+GcvARRgSgmuVgeMeITqpbRMdehykZQKvgjFA7TbkPYq5zODCEAfqcq/U7ozPhnEMrE7D7rC8gaGNbuYETJLuhvAqo0WOPCgIeNk6RppbYKOP1/kmR669ZjSsMNa4XSAG+osMMzJSKdp1mwJtDbh6yfo2E+X7vZTm2jgBgTxlVxqf8Fd9Yyx5iAnzJlG8OsmEyKA5NotBaSug362P36l4TQrJrxjsDFjL0V4Bu+aX5t2z5lk2UJk8O5F51aPTZiOR402EsHj2z98YtkwXAT1a6x6qlxU+O5DXGlC2+Ujqz1y17Mb9LL7x4ncob9LqKEA82+KRqQ7kawOZ+ylTR+FVgAi9b69HSM2Wd5i6DR/nb+6pcqvxEfqyB9WpJlD2zjDJ+370qp42E30xHaWh9GhSsM+v3BXsMlUc6vI8HyF2NVXULmrc0isxZX/prrwbC0AWQeBUY25729UMv1Kl1UmyrDPRRsD674XRMQZ5ef53xgktyYr6cvZb6k8/SuU7nWmUOX3ZdAUB82cyFMQkKrNGd1rdAwWdPDa9svAN2ylO3rQbf9VCR7uMzn+rwgsDysIqE/WZyNLr1kVDwQn97x3l1wgWDBfg+t+avQM8FS5yZ0UBG38FMssxdz/u4rlf0bfYCz7t+/Ljvpg/2OJLu8+ZQD2jDHqrUVKpdmWVXN77uj9/1Suu7X9Z8BWrIJtDLwfd4PWvUcto6sD3bgu22Fk9BszqY7ucMCBii4P7aw7YmKwru3aeOivF169v+t41qvxdgU7WAFvag7nrAHN6o7iM7+L6BrjqMV95b5fjkENDHxs0u9hBRgUp4q82eUtfdrB0sV3vD5pnXxuAAytohSSB7kFVI0g8cINfDZmzgqi6da7DH/MDuxbStyoMZJTZUyvX8j+LbBjnwwmyBwM+v//qvv7u+27XWbsAOX1qT0bLJlrbqtTq2+GW/42jzGchYqyWaXGJbq/tuv0866M+P/mwg0Bo6jRlvOGNo6y2bPpu3gP7o72C06TA+1GzK1q7BLnyE7nuNV/gN5La+T3V/8XkDm/38I3dqnyLLT9FWrQrmElt2CSinzAc0GwXCQIyrvqagOMdVOhaeAtwCikwVeOxzhG9ZWh1Dipeiw1iNMJXxNP1gmCo2cy9YbVTetW2NRhYEACFVoo0U+X+/oUyNQTZgbd9R4GsE4GZber9mXCpQFFEdZE5EH9FkDfDJBSxKg0R9KNStRQEhw6SfRtb6f2mJ1jI7IpqX17smAKf5P31/79U1qPxUHp54xz44sraxbaz23uIrJ/vh0ft76/Mqo9QI3816XsVdh+pG8l+1gt9+dgM3awJkAkLm/4qm1S1PQPmCZHwluGE/GwBOKdu7NoXuGdoCazLlLSdG6xp0DhCe9tif9bNgHcNAFlt6dHmhhqyvRmgLxs0fj3DCb5anjdzdoBp+qHHpmndcfV95KdC9c9DH7isws+s54YCsgGV1QaPbAjkeZ9H90c12Xn5xj5bh+Z5eoCeAYWtavrwAqN9d/q3+Lr1q1NHkymH3TwFC5ffer3qGHZytKzCnY/G0Voe8r9rQ3qv6HEjr+tURr71wr8sXBTLFHNcBvnr0lU5dM9c+W1R2WeCgOKEByeqaysXTfXoNoOjgMxU3lQ0OjgqaylMDqrAIe2e7isoQ4P8eAFVnT8LBOlQvGvMNwqBrg1g+r069+/LoFbyljzrClTdzrk3t4U1dVzbIHLo+7RPINq4GA9FINpt8VR90P+R0kHF0fyb91EqQVqndsaPD5dvqCOvSAGoDb8Vv1zY+6e8b/HmynTdBURtsDGwd24WmxbvFBsbHgcF/gjrNALq2FWL+lwjB7/5WD9ehFQivPBk7HtGHa6pLLz3L/9bito4DPavb9ruW8lb2ilPM1xkI6HmTV/hDlYy+vvcDmlojTxLYfYdlbLU03/XxX/7Lf3l3FsinP/3pt7kukQdLOo8Cpthvt0VOcG1jGmaSCKDLPNLpVm3iL/zTqg+Y/9rG9+HMv5BTK6NHOdU4Y4AqnOtM1HER4d0E7O1x6IEHSFcxMxIW1F7aAtUaY38bRbpOrewwJwwBL/GV8NxIgjm3Uc6dK6bWRw19nYkuolZnuverAul8nxwAikl017j05yHVzTJUqdXIXyCj/yqjRgKtTfenUKyMwJrAREv+GCy/nVIcfxSEKtmqk3/BZYMH5oMmsmjd03qN0FUqdSpeOWnakwzcPrq2N0ixzxxUxKlFWwAJ4GlUtNFO/dQRKl0arLhObX//CsS9mvvVDU+yosm8qmqorFynAM+7x4c5fuV5QSZBNIGVlr7PoV1Gy0nqZLIn9HKGG9xRtr/rZHcZFkGZORYF/dUpN1NbHi7fdD3r1DaLQUczegy3R0fd9RNs65oZAzo/6SHvG+kuSL3roY/r1JLtNZk0YIeO32+BRzqBA+uxEjKSQNAaANZ7+r9ZJBnS2g4glT4ie1dG2++rQEzXra8C91aDWA99sSFk9AaNjaOVIwUKMmR1RlqWZgyt0Hnl3NZhEnAuoK3961gvXV45tR1/gylPTsGTzF9dU2B+nVrXVmYLQG9JaGWurXLKOR4veo7nQKVKlO5FZiMFz2oHyHVLu2V12WhVOXimp5xaP/rHnNC0YNJ96uRe/dk5t7KlJ2A/ObXmWEdTvxdbFH896b6tmzleG9PDf4yrVRDWps7D5ML11h7NyNx+B/PKCuJ9TlT1CfrfxE/lvnx7ZblYqLihDs2HyVPHULvQbGoxcytblO9ymHY/W0Qqg8aO31v90ex6Awn7vJUQ9vpb+wbhe3DbDZJ17JV/eNZ8zcspyO5VvFM7d20bXu6zbG+rnW6rfa2t8b6Jrn0Gu+1vgyd8F+MTGJgT2fOE/l8fnNAtG6sK1v/DIg7fxbvLYM/27iDgz3zmM2/3G05Rraeilb7aWNaHrVgb08YBOzVA3X3/tQ8NXtW5v3jx2raP3Kn9t//2374NcvuXNtG9lG1WYDFyS//6d4s6omgj5tomfh9q3Yiekgf3w6xlEmCcUvKZUiOCJ7p5FeN+p8TV+P1G+aAyhGY7/b/va+Ap1LuHmKAzqt0r2jKEXccZ7dwIyhqhb8QK+OZYKtV2/31HGAA2hsJa1OHS19qubd39zZKLollrykz0ZrR0cjFFMAfC4w/mUAigjBcAWgJGmTWrURDrnmjcUlr9FsjfrKSxt/wSz6FBDfAtlXKtvzdg0e+eBByNfWc+yi+NvYcNXWD91ApM0aVGtVHEAuzKt+9rTEq3JyfG76vgb/9bdwbYWvZ+ZLfO+FPr2BtQIn+CGCt3bfDFo00mI3v0w/iR3NVgb4/zGrBaB7KBHXvhAZ69pj/Gv/vbki/GulHbtbvXHU3rbD5FiF3rpMbNab9z6M/mdmlWpx//7yXzs4aeNwNr7c3zOq8XjN1ABV09W6IkcXIvO9IsCYNPh+83Hv1m773sm0aOOWyNopdP2C7y7L0AbHXnpftaP3/l+JBvAPkacbS82aCufwONXfM6sF0XfLzvGsCrXKxdB4Buu5m/Ok307FOg9jqhN/B6dSIeKfDEn/fa62i1ukffbU49H+7oY8z6qB1rbMzWsvtri2/ufSqX5evx5zIhMim22tgShFbTPzI0G5dSbsBUJrZnVnCcywstFS/tyQf7y2Hqo4xaelx9hPfrBLdM9mZy11qSbI5AbhMSdagbGNJqn7oma5wdPNxHvVSX0W1wJB1Bl9AT8ID7O+hv1/VxNKNfS++fHF48Ro6MBy2vc4umN+DRbHP3Brd8u7rOva7ubWtGD73h0e5fdWJ19fdsSqsInEqsjLs6wXzLr/53NsVerSIsrnItnqR3GhxoK481obImILSxzs/Yfa2VUmn38YIZ1p8Ts2+rnWsGEg+Rc/3NVvnNPi92xX/desUnkLnnLM6B/MpXvvIuSL3f/eW//JffbOLuMbu/93MwPZ5wawWDOPT3S1/60jdtwdo99//nPve5N57nK62PYXOHDjbjvTGtz89+9rNvZyHtWge5dv3gKTQqnzeAewMn3077tpzaf/fv/t3bAk2gN/BN7lOf+tQ3GdVGqwowu991k+3BOH3sTvupsmokBPDlVAIe+9zJuY1uFzxYhDq0VYQUAoHY/4RkfYr2YFDzbPRItM/icFxFycyhZcgWtKUWZRgGsYb1ZnHcr583KKAVkMn4lZbNbhMWCrqgpBFzSlQfjb40myU7pvzEOtu3vPWzd7TBAXsDd81lcoqUIrkO5Y3kdf0ozhrkJ9CuP/e7/ZU3Xdc1u0CuY++aVLE2SKMxwObaSPkFVfinzudTJLzzrtw8GcMqnkuXJ7pdPVBQ1L49fxTvXwepMlZaXjp2XS6gkdnvc30BW6fnbhweuSOTc8uVAIu/9bf+1rtHbFQGlN0oZx4PyPICofQXmhbI3+DHnRcZ4wjfgIGARx9vsybDc/u0dtV76FYHhry6Hv9c0GlOT+thK0KDK8AP2qwMCqBSYUKWgXJOLaDewFlpWb64wYDyYjOC7mPsBb7dNlHZr0xcx+ranr0akKoT6bfob+/nzYKKfjfLUAfmynWzcaVNA0U+3/tbEmitmjHoeCsjd92bAUfD2r2nYFf/vmrVs0/zbhsdZzs8N5N9NjaAjh0B7upQm18B7A381dltMNIhOQPU0zV4u7a+oL2Oc53KBk3wkrmTga7pky6BfziHF8s0QP5kN+vwwnZ4uW26kQNenrNtZvJbnda1rkNEz2m1tU/X02XFjjCidbM9Z3w+oF7cpbpl9sCTB5q57TqjbasbXCOI7vqLDy5+6Od1kPuy5a783/aER2rXG5SpHOAfQUz2yX09wtBWEHj+2gbyjs+6VazBtu5J3gv26xyMXcXRlQ+0x/N0VDF/6SEpIps5PFmd1lbd1MTQE8a6v7trQ7eVHv28h53yi7qtztir7+Z0LkC3/pZkxHP/83/+z3dnDw1TSwrBNvucr9SDdUf7fW97lGrJOc7rTyBj9/JUgn0HWzgPAI0lJ0uDBnvQtfqk+rs26273/Eid2q9+9avvFljpV0/EuoC9E7KQ3Q9lHwimYtz12SheM7IIgFBV6NeoPWWyrnHuEfeEUpSRQq3RBqzss3oj5GG6OlhPDsXaFQ7zrJBhfMxYGhOwC2B8VmDQKFmd2s7Xd4Ai49bIu76blVujdFxTYNKTM5tBQdfdmzPBGXCPgjsRorvW1vMqlNLd/zcSpISiQlMgUCDRPr3H2x3LUxClDtoTP15+LnC6fVmTG8C4wKAOfVud2s7pArTOqYak7Rro9xnavupErMncT6mWv+94SquOr+vhfTOO1renjOIrVQwLpkz5AzUOULC+eFdprEinsdTI9v6i3TJJ3X9bxX6DL51LeaP8SE+5ljzLTMnSGX/L7O8aNXJawIxPrgPU/+ukds0KWqsXq+v0Q+eI8MqK9BRO6+fvLXuuXqtsNHDQsTXowd7scweJGGv3dLETladrd+69eu36u4fFVF/rD7Bl3zrup6x3++q9njJudY6exn6riq6jddf39vuk557+Xqep8lCH932vOvOX3ppAD/tY57V64gY5njKydz0re7W9aDLeWbYE/+ya6Zxmaa98s9el95X90poMFfSXvh03fipo9H3l8a5R1+nq8ifcJxlQGeVIsvMNeJT3L5YsPzTQX+xVZ4HzUL1UGbL2szsOXJSt2trs8wF5QTgngFcnlD7Gd6u7mq2+cta1ufKH//o93W7eT78v33XN6uTR75IsrcB42tMpMLM2ejjF23zh0mam4WnrUD7wfYNRHScb5PvKxl3Li/3vvCtLm8Pk0J5Sa3UTB7fxeZQ1PzXzf9IN5uqexYv7rlU5gpV3u14xbpM95l8H9U+T4Rdwd6jT+rANQqBC4m54YXw/DITPdu0+wxMwxT6DkdZs4/Q0GYkDc7KuTbKUz5vBfaVvPhan1gEnI+KINa99UUdlB/vO3jgLYwItY8JEUxSbvPKyNYeEmHBPON2rJ/h6zIkm0l9Hu2XELaOiIKos3adlEE9gaNd5Dp0FAX4xtd/vnjK3GLrlcTVUzZJqo/N+s7+czTVjquGr473PCMv+94gKc7vOyPoH0GWSMCW6NGNQRQ2wNhjQfW/NpozhgVIZC6c7r+2+NqWvuSfnYM5vT9js2pvPnVuj2Rx1WaMFaq7AtKTqVRRPq8GwbgIEvq8xK2haA5gbFCFL3veeBVp+J7r6pDzqiD4FURp5vo8scO87vjqj+v4w44zvrsxpDjGoQ2ld8VjlV7uA/hrylvnKDsgQUNgOORiImU7DGwBA19g89tkMJPmkd9CzwYj1NYfZQS8zqoJ503c3kv2kzP3Fv6Vf9ZVAzfQy40UOm3FEuwtcGUQ8CKQ0sLjmPcBAfzGQ1Un0QwOI+x5Q5CRa441xe3g458az71R64MkrTw0kXF4szcqTAmZbI4HKre10lXspM6xDhIZPvK9dcP5kl9rHU0ASb6A5vrSVopna64iW9mhc3dASRGtZOvb+Xk/6SJDIfBpU6KFvN1DypCvM7wZOe+0NSqAxG3izhs0oGkeBse9LG++f7IB7d2zubW5KUh3Osvt5hJhT7advai/WLp3xfnFQnfPyjs/MrTQtnd3HtizrBqPUue16X53oVZulCeS1koKjs++mO8m05yXXQbm63Dyqg/fqwZQ3kNXWShunUTs/Ae7Y2jiVd2ukYmGZpx2i41DJOiYNYlZ+a4/Z5KetC9atvI//m2yg259KYCsbKg7Mt3JU55bjyT7U6a++lbm1RUylgfmNh9Gl2F/QkVNVW14atYx9L4+74wjXKexaVk77OZuy38oYeqze3/ybf/NNr8/WC27DoU+BNHI8XhlGuHgOvRpIwIf92+CNkmOy1n3gKk35MuV7gQd9OoQODpFF/39+sA6rShFQtyZOYIdZ4ILdf7//wz/8w3cn5JcubHYra9c/TN19/TA/nO/EdVvMaq+67vjj6vdL74/UqVW6RlA2yD3s+fOf//w7Zh5hGnGsYhHRqTCtARYAYUuVCSHgofTPI3YsEIXCgDYS1BejKjLRvSTGBhAB+gUJBa0esyOKUWNxI9sWiBLm7N+o7I2cbxO3siVH+utP3xwaRrkPXNd/hajRYEDf2jCIDUq0j6d9GPusWQ5rZ9x1hieE3V/BYHmEh0BFT7fmJO86+4KbddauAdY6Xvy4e+xxLf/5P//nd1lijbA99VNlVeXXwEnp0FY+xJs1aPq212NNpK1BF38LNOvEcQLqtBjzk2PY8dXoUVCNeqJ753LnemXvZl/KOxpn1prf/Vjlx2Y3es97LyAASOOk7P8Zte2R8ZiH8ZXyevxV0Ohlb5sxOQUZXcxdoEE57/TVDMbGtePwJwczuNVx5kEOzYHRwQPlMWu/OTCCdNvkiT52bUuCyhec/ZX+KofiNBUAVZbRoCcNX4dsYxXMEJQiWw52AjoKgOnLRsgv2O86Fwj2oLnK/QWMsvSCpA1+KZ1koyozdS4aNEJjOsQYWwVSoOnVtQZIK/OCBAU3106UHvR6x1l9dfUZOXcN/u0hJk8VRFema/frYBfMs6GlZ+/bcsWC8b6uHr3Oz8UdmmCVa2CWOmSdj+vwRvmfrl0rbTqOvid77GKfpWx/a7f3oMkNetdhLQ+SjQL60tYcfNYs2Br8s8+6x9R912TnbkDyBgk0jmurQ2CI9TH9BFibd21NbVRpCROs9XF9bJbf+hw/CgQ5awDghzcH5j12sQG1/W7POt147U8UVCf/tVH4qFnKPv7yZqrKbzeYg9b7q6LsKSh016L3IG/+797e2tSu3/ppcmP/NwgooSNIqVx7gQBOcEu66WNOEB1fPbdWHVD7Vv6tE1m9Q0ZnV9Zg29ln9m2PrNm1w37dglgea5Z449q6b277izaX5nXGnq7pevIpjNuarLlHAwC1MWt0qOscZNsE2vd8sAb0Qg9YbJJC0E3AfdcOm6BnnVp/i92u/hHMINPucQOA1tp6X3vV9WAbPhantje0OIt0bXNwHT8DqiEtE8uaWCzKRlmfDOMWgiApp+sppaLda9eIPpUvlGk9FB0DiKSsyf4yaI1mVeHeZzrW4cV8T87FpVM/a7RnbfQdHURhelLzVXqN+l/BfwJCjQhhyBr6XvfkWLSPOoFVMBxxv3Hwwh3PAL7nDTswg1Fsubl9jtfxQcsqiqv0NNHAGTF7KR3+hbcZm0vLp6jRvaYOShVmgWyfj1g67LqNpbT0HjDs/4AWxd/ypK5f16VReIEYwKeRwQZBVAgU2Ba8dazmep3Oy5OlJSDBsSXX13h1Tk/937WrY9xHtMz4dm8bYNOgzf6/h7JQ+HSCsjX68EYcjRXPzakjw8DeBSgXxLum+k3/zRJU3zVDjVZAr8b52Tg42XO453wrj2ymlgNWY4suNUrVveUT+r1r7ECcPq7kOlh9ruaavYjN6JT3nfvwFNTEV/6XaV8fO1Sjxvka7qsTrzP0Pr3w1ApoL4/7a2xsZQOV5dPOsUFMvFp9e22C9WsmWKC3GYba/uq1jrUAr3NrgLSZpK7hXa/qkCc73ns/Ob9tN8hVOep6lp4NUptTAyh1Qp90fcfafoyHTDeo13E089cx4oe7jrXRd4vO+2hVXqQnGsy69Oz/5Y1rG50p0Oz4dWD66libgSveacD50r191vneS8nkXgtmTvfjBU7CDbbQ2X7bfddNHlyQ38BqeakYtbzR71/xdQMy78MiVy/c+xSn7Tonbgs01Bmu3VubU9iAWe2MwPDoxBaOdsbCxq51+w2bSz84P6G8Vr3XeVWnccg5d+yI8xc8WUWgubJ2eaVrtf6cTfFhjtVdt261bCCeg043myNb1wDvE27niHsVb3/32SriM9geXSTkBM177k0PbGs1VAMuN7mB9+94G0R2zdpTf1eXVub9/iN3au8CjpG/9rWvfeKnf/qn3w0UIOmG5H3esmALTgEQiglEMyYDi4R5jg4nFlNWYBttQpjr9DCoNXAWeddbXNE5/RIMYyfojaLsb09f7MJWgIEH47VYT8Zxbcp3oA9dAA79PSnEAvur+C7QJ/gyUIseN9hQp6eGrHQGdrU69daEA1DQ+MaAiR458VTf6NbHR3XNRJHWOt86tXUuyrej62//9m+/Kzcsnapk6jR0TuhQA6XVqDTrgNf36h6H/UVzDleFvREwYyMj1o/M1eC/avi2kWMHoInE+lzApw9AL+giJ3jiKiR0eAV8NDKtjKaP0dI/h+Qa7RqmWy7c+Y7HAJSVnzllm/MnwLMGZHlkjDVoBFqUdNetz5bfoGH5UwmOzK3Djgqa60CSI5FM1wAgeAA9HOAApF3wut81UyvotGfO7SCbZSF2yAPaqYRB41se2AbgmStjCAjow9jG/8rW7MVphLlOUOVbUIDh9Zej7DpjFwQt0Kxxd5DX6DI64PF9ztDe+V5nrbSmJ+rgVP/gTQEjsl+5KvDFh1fXsFft8zq1wJ0gciP3dEevo5/3XQPK5Mpadh+58fb7J+eiTlcDGNavjsu1Yda/Dq725Oi6vk3QDzitfvP7OjStEOozZAVPqns4Ru5zQfjl/x46pt9mr1zfgEKdQRiAfDRTgqZdb9dcJ7vYCX3oid63ZeWdTx0I8tBmT18fPQcX1ilqFu4GE25Agczo79qZPnoLXtpvZlMXrJvOWZaue0IdBkjX0S8cGqfic47JrAwg+hlD7WI/o6/Lk9akY63D0t/OLuK1BpfbrAlZ7DqyQca01kx5g3n7fQNda3AGPsODbPdsmtL66WmPm8E/PTG3PNb9l/utvtc4uaVbcTXdrdpn/Sw4CbP3kY1br42zzncTDHXeuna2J1Xvtz0FtfYalrbFUvm2w5rIbsuJ4b/KVHV2MSYdhT6ww/fmMEeyvQY3G2+rczqPYkH7e+nyfUf3cbyt660M0a8x9mwI+KZnJuFdvFdHFib92J1ahPqd3/mdbypLYQiA4QKDKlFRLxGdMdkWfAqnDlpPW1vrZBlhwKQKpSCjyrwOJWVKcZbgFgb4qMPgGV42WjNKQJT9r5RxjY/7UBg1gi3R0mSVPTNTuV4zbS1FKIMDkO6JkRtd2ecTdtkSJVJ1cLoeaOOejGGf4XUBBiPRR2/YR9OoKL5oRmnvN3drXicRbwBm18EyvgrZ1nGBmD1weq/RFIgrzWUNGw2vQr4AoQaqILiGWMRvvL5yJgeFOLhg17Ucag2fKVfDU8bIMDCsDVgUBDXDYA1vdNO15s1IzNnx6C4yUvBYYLlWx7Z8UAN7G8BYfmIoRxt7NozxRsh7X7IqCul+HkcA4DjsYC+lybdqQ5TXnHtQUU/yLWi9keNGxzc+j/QYH462cywng/oROTc/hoQurd4oXQFupzfrT0Bs4GzOvLYKmzlye7zRxmFOG4+tHvuNdamu3OueAux70f/qNY/f2b3G4wMJG0u3LciusgvVUfpeoyPQpHLWgBR67PONaa/JWh9Iv+82tmWpRwtgtgEzskA3XP3WVlCKJ9vqRAhwlXcqW35PjjkAraRwTR8RRI8CfCoJtGtjjKu2Qulhs5Lk6gb60KOBHLQ3ZnMUWAE2yVwDGPqublGC3UDwkw55pV8Ex23tMH/ruu+NpRnFBtCseUv3yiOctgZAXQcD1QGSPRn/4cXq/mY3Gihz/ZODYaw3yNLxXifV+PZy2m+Drfjjnnhb2eCY3fXYb6Zv8Vy3afWclupzOrMZLTwo4dBtEF2D6ZCe3gq7zd7uNUdLQHF86AAv+zinG5bRm56Y3MwJnq344he/+KazPJ1hfa8MeTqt+/xLHzYd7euYlJ+KIfz13X7TbRKtbHglAw0MXD5skJEOwXfoWseIjK4PGNE+W2vWLQOjx2yGE3PJ8d3qIQC7xt6RCfOzp1bSxfzJn72jG08DogKT3puPx9v1KRrGUnvF/guijgf2m+KYJ5p77ODotKfD7Jmva+tj99OK3+BXfbJ9Kgf5LL1v9cvu10f6fONUZ/b/4kDYU3+16z047jqYxmId+tv6eXjCeuMtvC0Qgu6VDWN0XxWcH1v5cY0hQ4EpCjINEGGr1F0nSmIPpZJihrtOFcVbcFiAQSEUtNcJM94KOAfIItWINcuof0bE9yIaBRIW1EJTGo1UP2U7CthaIoixMMdefawQcFSD4HcV0NKdwPocSH8qd3gCZ2Xam4GqA2x8HNg192lG4wYhmoERfMD8PfGzQleHvgEC/QIT4y+b4e0ZvGtRR7QHFuHxRr2vU2X811DrVxCHYt2YZPnQokGQ7svBd3VsC27qWHZ90aRKuYEJslh6tRTxvm67gQO0qOG+9OpY/W99NfurRYjbrqP8ChA3AzDj0hOO6/zWid//HE8HLVn/6g57shrQQWtAVPDuZp02z40HgONINNJZ3tUuHS6PCQhUB4oM09PaHMztoQXMWvo+ms/RrsHv3lMyjMfIYAOE+EhEWLBzfQyk7HtbShg8NsUhV91Ti5cbub5Ao8a12SqVBh4nR4Y5WT0Uiux23VqJ0oBeAegN5pQfn+TiBpluuzLi3q0sMI4e3HJ5D3iTJcPP3cOs4qOg0Bh7Wm1p0kxubcJ1asmHNTSO3aeB5ic57to+6ZOCn/L8LRX0mTJS9kX2Yq3OYbOxXc86KhdfmDea6FsgAw6gA5oxrkxVVxSj1L6V/6sD2YrqIn1XR92y8toK+ogsGEMxkLEUIz1lD3ddH19kbg1m42kg+TqE1qOVY+2/66/E2HkC410VhbP5+3z99AAhtnVz22dzaJ2Su2v3G8/3FpCz53y8Pd0xfbbfCvbR350D+l0+r67oC33Ymer+V47tK1tPp6HlDSq4tri42AIv0CvFV2Rm71VYVf+sCRbj+x5gWLyvLHyfCajuGpUjdP/GKFApydNqKraGHXLOhK1mPQjyZsnp0H03vMAZb0CqjSxtHKt0WlDkk5/85LtH++3+EhLrY1sKySDdV98ITrxbfRoQ0S5W/644tG3FjMWpPu8a3mCW318+w1d1yjsOjj55bwAazemv6hQ6oY7/q0Dmx+bUYhIR4UYiK7wG3qgEh5YyataPgsOcJa5IDwGukBcQ1pBcZVGnuE5IHU+LZKHsgyPoNXo3k9ToZ/utU2vsBMYpfG3NHAKWzSozXI0yF1w0gnIZTySsj91BwyqQ0rcA17gGQpuluIAa81/gry+/KShjjIGjll9XAVAOfu8gg8u7a+OxVQNsXw3n99IGvRm8gnO0rGG2Dtcxr2KoY8tAyxKOdqW9SKjrWyp1sxrmdu935dX6tRS++1bNh1G27xMf3CBH5ang7xrr8kLH4Zr2Jejgc5n4ymLve+lQnjPOgkj7aEdvipL8Ke+e8SlQ8jxlwZXJssNJBCgu4N+r+0P7uRK3vXfS+3U27pz62f2uBnGN/qyc0YFO+NVWcjyHVlbOvihR1X2365v1bHWL/tfIeaO25Uv03TzXHzqrQOnzLDdOANTLGKpbe//qVg6a+8kw9ER3a2DbRaP9+hJJlrkqCKiuu05sx3UdrOoIeqaZ/LvGlWP6rk6A/gVXZNPwHicLAOw+wM4VbYBEWx3waQ/NKf0KoMvnrrW1SCZ5be+BVGvXoHIdtM6d/qlusT4F8z5vM97pf5UXaOD7W1J59Tn+usHA6h3rWfxy17UZ3fJvgxAClnXkO+fuxSumcv/dt0Hb2jJrQLc7pbZZlu6Rr7x1LdC91922z/GmEvdmAsvL7KgAY9ezAZQ6heU7mXh6fnzrcW2rKIQvOUkwm0CqAL/Dheb4Lku3z/aerlp/niaxuTmFdtfcjKP1bHKjgcCnQE3t48YGG9eWF9O2VfdU37TahY0VcOi6Va7rIAlMPgWeOma8BsOxCwsSVL5HF1UkHM695vApD54NgPPJXQOO9Bl59upeVnZq4/CsVv5F9UZly3rsumV3lU3XsWwzx2Xuf/RHf/QtULyAyHAmPTL+2Hw3Xk9YIIe1mU2++L8Vlta/GAgvFdOvlY+qq5oM8WrlUqtZ77j02cBbgzjX6a+eqX/Elq/RuXVkr8/zsTq19/8RewrDMyYb9ehzVQ0KgTiyUz5j5DGco9Q90mHHb7f0TznJJrzrKEtOgXu1LAvxuuDXAbgGsECwCmHN8wvdSybAfgeOr981WsNhuIaO0K2h46U5huv+MLX65nEj5xiw+5cbKSUsV6FievdtpOiVYlOKCUwZQ59bNaUvyzyDUyDTOn5G21rIYBVAVbl13x9BKSCyVuOXPcJnrzm1oumUwm0FNJyrRpWq4Oo81fC37BuAmILf4wEEBvpIIxHIAk7r4Tl6N8DQiHzBTYM9VThoV+dHtJFRsleUQRb4qGxduRZpBzIK7qqQnzJT5ND+pQJw83IUfsteGxACph0C5/f292wPdctp/X59jjenc8arfYxMZbVBGWcA9FCrGv/Kbh2EBtLs72NIOGOcDPcq6K9+AsqaXeL82QOE9+inGh0OrSy0bQ7mvTEs8qxkm6HVT0u7lEDRN33PWeRo0lHTc3hun9lbtfsu0i0TwilqFgz4Lghu0Mla4NmCFnIJVPltA4w3Y9RgYWX/OrWlcQFr9YS12rxsW2G/rjNRJ37f0fnN8Dagt35VzdDH3TfbAF4f2SaooNTPd2uAoMDGBebXPlR34kfAEN/IjgsAFUjhPfdpQMz/ZOAGBXrPq1/ci57oo/+qw2T260xaV04A3miWiVPr/26vqf6rLQbw91c25x6W0/56qEuDC61oq56/ZfylKSd9YxbEpMN93zHDc/ouzz+1BnRUgOx3dUKKfxowgh32GSfb9w2oWevRbDpvdn1/5zh4fMl4b/p/+m56ZYfhDXOuX/pOFcf62xMnvvSlL71bj41lVS2jh76rNzkve7HjtQPFJuhXx6P8dZ3a2ULzaDXd+1r1RnmPbd8catcbaPU52+SA1uqp4gxr2vvgCUFpDiJ7Yw8sTOFg1vX91/7aX3uj+z4bTto6yVRv3PjelixbAS9fN6BM1scDxnQTITfIZP/rbF+3BFTHaZvLfJVf/MVffBvXxv5f/+t/ffs7TPGTP/mTb/cVWGmwGX9rxdcwNT8DT7X6spneVwGJtVbK4A/yX97Uxw1grTVp4f81dma/xSv4ohgfXq/TWh1UXa7CYnjtBrE+1j21lP+EfOCnTE1xF4z5HqDbAjsYRrZj1+7Y7Smev/N3/s47xb3JMox7KSMwccCn0dC9WpbVQyk+TDHczNv9rMqoUUcMZa7dC/TkELahWQEiJ6InMisH4zw2o9xT0xo9Yfi8OqbOyZo9jQ8ovKVABAoYaX8UDhAKFOy+smAUJSPVccty+0yk1b3xA6XbwEUFVZZqBmiGorxyHdSurzVRPkVQb3St/FQnpMoHgGesKdwpzyqlHg6wVqB3gVLXrbxdYH2zSvc669pMl+CNayvH+q2R7pjQq6CwfNYIdXmLI1HA2QwcR13U9M51DY/JOsnMr+R8dG7Uz5wEG5qpqMJ2XwEHukCJMtq3DLljKz8BM6pUjIMzb59QHbTLowxX19VYu+Ycwd6/fN7ACUdehYLxz8GRnZj+rQNd/mlpoTF2/SrTgAFQtWs9r7eVEbv3ot8yxHSbuTd72/u4Px4pDfCqwEErZsgBHmtAxrhK+44DCHiyDU+g37gapHRddWLtRQ8PaaXRmozF+rvPTDafC0rcj87EE2SnmZ1mXumjW9lT3ipQr40EdssbnDW8BWyWly9/t//ydZ3dS2+y3XF3vGyLQHEdxbv9Q0Mba9kSbIeN3eqLOo6+43A0iGVfvHXjBBTE03lAa+lifKUf+gowkeXKaLGBsTawo69Wz1ze0owf5rBXH183GVEw7reAMD6ufFv3Vo1tXkqHHRq1az/1qU+9o92c1zmpW+s5UK1ma2WNQLv11+fG7+wRdEPTPsKwdklQqljxOrF4u7wqu3x1SDHW5XP362futc8XwKXvmynEB3VQ8OnmXFxyAyS16+WNixkFzti49aM6iA61lmjNsca7aC24c+d/7aBqUPum67zeoBB94jE+9t6i55M+/7Ef+7FP/L2/9/fefKCdE2Hf9gIoDq1asEUGungR/esEdg5sHDm8eJ0+8f//lfNArixVxhscvLJb/6h48VY0uobe7rW9pnqqAYRi0la47KX69+r+j9ypLSENfoxun5roaEHCk+NEYDiz3Uc7Rl36fkpo0Y8CB07tCOD5bmN4G/oxYDMfJYpIRzMqN2JI+N23B3BUkT4ZEP9z0AqirmErPb0KqssU+8y+MsqHklEa5/5Kji5T3hr1zv0C72Yir8K1FlXK7tXMhrHesZnnVfLdB9ToknlWyKuUCgaVRjaTZw7jjfGpyN913i8gu06XexcEPDmv/VsaWH8KSAYW4C5I7vUFGTUYsiQ+K1/eQFLBeRVy5fRmdO6hKZX7a0hLw97P5zdq/MRbBWZ4tHqmDh4HvIrUvWTu0XnGaWvuUKIa/T4ovntvmpXyF/16sIyMmP4E0DivBejm3eAFA+RE5pbwG1vpb66N9JbWl1f7eLSnNWuJlvHsdw3+iagDpHjE2AvSGN7qUUDGZ9WXdID7NfCmBNZp7NZimco69D1R8+oa1zTS/mobyJV9utK4K6fVQTewUIBeh7hyYhzm1DI48yDX5IbuuBH5ylFtIwAHuN7gxwU+5uR6DlmzGQVAl5+uU1IeKOjZe3RVXnYDZlfvVrfVqak9LrB+JRNr6NM5FBDuL7vUdSZHLaHb54C3bVgNcsnEexl/7Z77NdBifdibS8dLk/IB/Yv+PfBMH7uPZ2u3TLZrVKe2QbrycT970i++r15GL/eurb1yVL7p/a79wAf7bvpCeXGz9fSb+akymW6TRabvtF2nEmd9zak1vq7ndBL82mB0MYR1v7rjlS3Fx5za6zA8/e6pnzVYwfs5tT4TKGRX6Dl2Cf6QRMGnZIE+usGl4n7yM52Ep1ptALc3iAIbcW6Ms051MVJ5rg3f8TXKZ5WZ2njBBOc6PNmIts9//vNvCbhdA2NuXss6Ozti/sl8pPF/x81GV78XP0rytGS4ugOfVh6+8fAs2RtAKo+43rpV15Z/n/yC64j7v3arfMBG4f3r1JJTScqnNf3YMrU1GlvEKcmvf/3rb1lWi3INCwWlzJBzUaW0dP0c2kXS3EfUfgrHPkTZpPVBERFOkUAOjgVthHIRFEJqvIxsHyvjtDuRb4bP7y5II/DGThmJAtYpAcYsuJIKTtkahvFQZoy5aJB9Be7rL+ZQHoPBylRVKjUaHX/BeA05o1laUPJ3Y7g9iPvd5tBj1gnzjQI1ku0lgyB6CgwVKDt8QBQPr+3a8eZeKydh2AhtjfUaoeMko2XLyCvIfX8NDz4pbxD+GoWW6jSrUmPGMIjqV5FcJdY1rxLvdXi8/zMYgJjM+xNQNIc6AsbeVkPSjELL/h11T9Y5iECf0uPyJPBoDM3c7bej1bK0Al49tGyvZQHRldwLpDhsZBFWxpAM7367fnt+8M9403Nv951SWuDJOihp24us0IH7zEnI6CVweGWS8nfap4CRNRQ0ZAxvhqmN0Wx23ecyxwDeQIb15QCT++qfC3AKPOiGgr/Rqk4eXt/9VrVT5xBfyhx0v2b5DIBukK3nBxQcNRDYoEMd48pRnfQ6la5vGRXdrTXgA7ja00rfWKuOrZllv++rDmWDHpyta7vaHzmwBr2utoK8sRvuwT5e/daMuM+cImu/nH7umhTAlWZ1suvY4hGBkaur1mdtjnUi19Una+gBZFWvsaP2O3oGdfd9V4dOpluGj4Y3OFWn4u6b5XzdV+WtOpq8oK/DGukyNG4FEp1j7SrH3ar0FHgvdri0tzaTBQ51X31sUvGGVgekcroX2Zmztpc98gXHVyfZyqNKxTrv9/oVgBHobICgdBpmxUt4AO6q/b2O3g2IkZsGSoY9b6Chevtil+u0PF0/fapc+8tf/vI7GsLTm3Ox814Crt1/XPxYx9ALj9d5oy9vSW8TS+hbndJybvqgAZ6rx/VHNtnabssi0/jZGg4vDCfawlOM5ICwtr//9//+mwP7m7/5m5/4jd/4jbd7/cN/+A/fZcRXJfYf/+N/fGc7hwHcS8BAn11TtgANYAnX4aXK0J+f4AIZL/6sv3XpjoYNeJV/q3+7ZWSNzriBv+qpJtf03cfuCbTglWLmj21PbYF0BzvmmdOwxcXoJta2/1sWQpkzfkvhz+GcgN09VBybnspnDJzUgsW9bFbH+ECtDIBFFZFrpHDN860AX44VAHJT6Ra8IK7AwX7Jm2Va25icvNfftuZ812+uv/u7v/tmIDzXq/ulAKqWBF5mX+OkKf8q07+K1DRya+7oZN4U4v5OkJs1L82r5N3D/QU87G3CK066s09QQKOBFBklArKgy04/3JH+U863ZOM262yuGiXUTJV7txwHOGppDMVdWlpfB2igUwH0Xbe719M99ffK0SZ7DeTcvVn6u4ZBv657MsZrzWxdOcIbHMIaSL/lWOIv2b/Sv7qoOqWZNf2N95ahHdDY9x7V4Nlxk2ulSTNk7ZcSH/gRbQUYGlhDR4d7MZoF5S17VsZu7dEUcLpZ/fUNaDHKtyzWCwjftZsnejYyWroBAuUDNHA/Ossea7QZbWscG7Ev/5lz+ZisdL/tBXoMW2mCB/zfjGRBSbdZmLt7FvjUgFdWBcha3nsf8WOuXYvr7HJo8VblgW7dGJ2uahx1GBuowFcNYt1IOVlrqRcbWIe1wchmToyxuvHJibZGdIZHa9TxNe4eTrUGPPfgngYjjaWAqvet0159Y76A01MTnBRAYpNKQ/ej1/FmS7rda/bXY0K2zi2jLH9NHht4LigtJiCPsnpXtlVp0Z03e1Lw3y0Cqh86pvXvWau1Ia9kwnc3WNUs4FPrXAFYvAE3GKvWPfJ1cq0Xegms2ZrjcV0cSjqozkkDeMZe/YLXXYf+l/dazcShgFk5Sjd4gh7GBNf0OjSlW57Wow7dE71vBV/XaP/PFi6oO961NadOaLEpmYGp6PTKB5n3Hj9JQghaC1bSp9cm1Q7VXsCe/a5zakCqa9lAV/FZEzzjSc9d3diGrZ14bEx+98Tns89rC2rvfpOzJff0t8D4Hh85OZt/c2mGt5xZQR/Xl2jwyf/XnglC/9mpKHVtA9zdm4/ffd754UG2x7WtbuuWlFt6fwOQdBg+t450wpqtga/0yUeeqa3xrNOzgciC3WibRaii6ETfBvKBU+uRC804evXh8BecUI79LVAsa6csxQl8moWhwBq1qMPRKGujilXs3ldQ6yTcg346Bocp9aAoC1vg1pK8GVNCVcPvf2twM5/m24xuaV1D3zncjLP1VQot21ZF1Bdh6uEgvceaftZG+2bf6uSgSaNXjRjudw4YGODYS3agQO22AtWuc5Vhy0FuOc6N7hVE3shpgwVtT5kIa3vf49XbX+l/73uzVBfE3shY53Id1/L9dXgvT1qjyn551Lo3aNXf3TFWMfa+wJ+TjtdfD6mgL2pkC6ytK0BOdzV40xI+j4coGPAbcrt7OQSLXipophuVetVJbX89/OUCLWMTpGok/QKgG7jw2Q04CQbiUfJR0FPA1v1OddDqbBTEF0y5rus8QIRWKhUEFHuSZYFKswZod+Wj+ufKKn4qL5pzna3y3pVbhyE2U3sdxf1ONqlg5urxyrv1Kf0a0aa/0REgKcitPFavN/J+7fidc+1gQRdgZmzN+HgJDo8+xlC7UWemtCMDBVvVARdXXLrj35Z8F0iX/66jZ03r1PZskFY6+L5zro7ueDyD2xr0MDy8LJDGpvVZ4k82xVyqr9v0RTcVsD/Jgz4KNF8FP161a0MvDixPNmhT/XeDOXibDqavr+wISJOPBst6D0GfBkrrBN8gy3UyqlMuziidnuxoQX/tWfnzW6X1032rQxwGua1+DoJT/eb3N1DXeV+nu3jQ/ODuqytqC8hfcczFncZTHFM+bTbS508Bx9K99oKfoLrLaftP2LD01Miqk7BH12F0AZw5u8OgrS7SD1+lvtGdX/F65aNz8vn3fmB3u1b3+vXdQJrfNjtvnWSLi2v83e9hqKsv165ObqaWbvJ5ZR9GuNjkY3Nqn5TYJrIFXKlfsysWgxC1NKj7zzDyGGJZypY8XkJYiEZkGzWqMUUcTNP9Eo3iFPw2E7A25rRAnEmAytyqNKrs0KhOLUaogfCbzX1KZhE0jRIevZyC56Q+p0cro3zl4IiqF6w53W5NlKrG4JYSVJDRB4h3Mh8FL0vbPS5ewH9LsAo08UxBCUAxGngUhD0uSjr2vsDYs3OdiKicpIfd6PvOrzx3x8DQ3cxU5aN/7/fX2NSBaES2IEIVQQE7vvW+fSglcnDF3Tva141CNkKGlnc+LSEpzXvYAjpekFhjWPqa781Eu2/pX+fCNQXb+98z6cYDm6MDPAB3QbjJ/Yz6vp9MyeRe43XHXfmvnAJZxrzXHp2zKpZVC+wERI9NmayL1PbxPhu78vwehLSmpG6thybdAIixdOwX2DYbVh3Z8lxBowXOJst0UKs6+mowgBEnAzWAGp2g3G7jcECJMRYsVr86EMl969z0PnWqGG46qE5q+dB7urDyzjYZI/pZH+C0/NVWWV1fPeWRY3uzFWQD3ctjeK425zrl5OQ6cHiO3RN4bTbxOu7oT06uk933dZbRvjTzyCj8eitenoJnPYOjDsSVzzZ8s9/ZU9vHEFozBxkaJztn7yU5dT2bsvdO0l7fZBd92F/rIzAlS+oedabIX4Ndgql15Brc6KnVV94nw2iF1oDw1bXlEevQYIH1qTN8W21csQleXmNLKuPue7FmcU3l2XXNbukbDXowJJ1aeWxguYGEpwCswB3ebCLEWvq8YL/zqUyVdyUq6ohVDj8se9W1vRhDq5387Gc/+65yYRVta/eUbeMvVihPWLs6Q2sqN/BeMYA1scXrKeDfBNZa96LDm/BO99vS/5xKeo+t8L11o0NhxspYMR6H61aBwM3r80d+5EfecDzboloMf8JibLpH3KHJ9Skqa3hr60MHr59W2nzPqQKpLui86B2tSSfyxyY06GU8eIoc19ZUb3eLycWxsD75L8Zznwbl/7ecfqxt4puc469FAXqKLyHHaP6KmA0weSD2GtDOQRERBTBkPURW1M07UbTEQbAelV+DIXJXY2GBGfk3YqVsQBSjDOmvcq8q6r6uQlh/Y7IB6ioC91zbfTx3bd/bM7L/V1artLIAjANHaVaozbdgkTKnRAhmHXIBhYKarYtrO2Z91KmVJS/QkWmv4hf02BzGG0rWjGX0m0PvsRB7X6M0sORRLj2hkqDe4ENbM2uNMtaJah9V5s0AoXsN2c1K4YVmUarI8R+Dpxy7Thzj3cgnRd+St3tqpvuZUxtFpBnnDTL1846JEa6DUDqQ6fK5OddJMg68SXZvn6UZ0DjAKcOIFpMhpVC7/64VTMJn9Iv17DiAy30G2OCDRoxle/dan1u37WXac+zm2E53MZZbl92bDOFn61YaNkhQulgT+4E9gueC+zZAGi+bbz+r8yoQtX5XoiX4tnE6wRL9G5l1YjR5Q5fqgemv9T86rKJi64RHPP7LvQt4C/66d9NzZ+kc21Zk6VtVYaxPDlKDq67d72vPKo8OwxmPbc81eWyrDTAPh6h0zW+5Hd1gXuV/QcmCzkbIe20Df5eOZLFZ2zqqfVXeGiQ0B7q9gYlWTuFjJ7Gy3dWNXnRyQXqDNlc3XRBkvcizagj4w5gEbcaP2u5nn+bWfms1XvI/sDj725PtBVzpIzzcA3fG760EY6PwXp3agsU6PKVzKzTqiLDXdexc0+oTTkJtFJpyDGsHL42vDek4e72+6UGtwfE++aCPLoS7yAO9Mz0B8JdfgO9uaageoYs8eq2HE5X3ZdG7N1n5vPnRuXRnK0mMk06p3iCDAL8162O3bru2XN8tB22wz1xdh34rlV2bzeDUdUsNfsADeN7rBq/wTA9X89g8pxnb57/rbDW7Y1zrvvKeLdHqvAbq6OCud/UBXdLsu/WnzwQPmzEuvz/x/a5dUGtYYrqDLdp8h89Xdjx7Ca/C4g2mNGOLVxrkK46lM9bocfT53hz8BYvdYCP+eeIta3EDxa08MbZ9Xye7QV2BgxtMaAadvilWHv1UvtCtl88/MqcWQRo9qtNX4lSJMbT10utkjCgOSOlzYBGh+0kwm3p1j5uYYFzwgUgWtBEqTm0ZlMHpC/DpIhasWyzCjKku3Qrm0LFj8UgGxlXr/eu0M2AOz/J8qNFxjYLF6Ohe8HIVoff3GZkdc5VOy4gxJjo3K1J6trysIO4q6EbPRhdrW4MrEj46ThkTLgqtB6RUQF4Z3d6bI1te8pt9jl4AzFWAddBc9/Rdeang0JiMgwKs8l9rJLnZi2bbvG+A5QlkXIPX7y7I7DgadS5Q7/d1eHtgRPUFepdX8QpDUHrov7TvWNBaH73v+pmRBVKme2xNIC/u32xEFT3ng26rjNABrmOEgF578fBk96IYfw86uqC9xq8VK3VuW8ZmTUpztDHOgkDzxD/4H8hyj+oCoOfuy0ET69TAIj1Bf6D3fu+kyGbvG72tbpc9wfMNnvUxSXV8rx64AZgn3r0BnepUAG26SOCk2Ul8fp3IAqnulzS/jhEtfaZPAKHBNLx+eaDzufPD+42e12lqFtc90ayOZmW67y92qHxaV+2OrzyqdR70xvsytfiLvHR/l/4aqNY4PQP69D29gYenT8i9rC9bWP2AjrZbsfvdcmD8ZLrbj+hqc2rgofb1BtSbxW05LSxEJv2utqWBPetZfr42o/x5PytfOJugQW73bn/XkTbvZmcFKGCABlrYaVWC9/EudcpklPbqo2fqDBhDgzN1Vm4g4pU9LP9WnxhzK136urr8ie5XTkqL/t6zqce/kgCSCtXlHfvVJbUblx9VjEnEtCpHsuY6n+4nCMVPaEC0c6p9ewq8vwr06auZ5ld8+4qnOY6CsgLU+1zSbefg7HMVqw1c8CuKW2CcJ3xDhm6Qz+tP81hM9HnyzTqniydf8dUTRuSjlPYweLG3wGJ9JnLHF9tnCwxIVDoP5dtp35ZT2+xPDd0Uc0tKL/E5Tdd7J/QTpnnnFt4iA0ndSE3pyuLNcdnEyxA9BKAR+JYMFjwp4+nz+eqElfmNq9kR973Ev0xlHASohoTBbNm037qesnE/2Ydt9HcyIgDFIcTMt2yi2YMq42YK0M48RIB8xjCj3Zp9UhdQNltWB79G9IlvnJ7sNNf7yAPKoOXUMrXG3SDKdT7ruJfPPWj+0q1ObcFZnV6OTMdYBYKfathKk7Uqqiq/C+r03SiYIAMDzxgYV8Hv5VU06Viv4e37V4au8y3o7El3zej3t67Z9XiHEyWSj6419O4h2IFv8BZDPT5cVmWZU1lJ42kGvoqabLT8W8ZA2dJT8KDAn1M7PTd+/eVf/uV3ewplUXY9/VXwVT6uYwsI0anG2scS3UydVjmqw9Y1uRlNhnlzInP0qTUCDmtYyX8Bckvg0ayHvnhMSiP5LZWkS1tdwyb18/Xl/x4+Qw6rB83zGu+CTvq0jgaDPVvkGYctw27TZ4FGq5iUbKFRx0APV1YbdDH/RsNvVqhrUNB95bmyhb4XCNXeN3vyiteuvrhgvQ7lpf0N6KFb9V9fT616V4a4Wb/KvLb3tgxMbwhA7P9lYBowMdatpQPmuu5ohc9VZwH+5avqm/VJDkpjDpnP6si1skxwpQ7ePRyzgaEGdJsgqANzx/EEPi8fdDwcyAabXNMtILWf7nezTjCAOW+NYAW0cB3HFp/0hPTSqDx9dUz5s5moZqpsE2mrrsULDVK2ZH2v8Z1MXAN7T0GE0vsGPdpnr6W7bYeZ3ho9HF53T6Wunrj/W1f34NjRE/ipzv7mPJ1pn3j7NkZ0GS2KG8ub1XG10b67/6M5jFoM+mHtXkcHOSxPBYeqqb0+97nPvQuiV7eWN/k45odHigNdh5d6DR/lTz+Y21MiCk1r4xqQrP69iabqab/r/9aULeO7wSHV4XvhL2NeGy22Xcv2MfzxsTm1v/ALv/CWQt9r3rT9ep0UoZBRxMj2SVH4HNQBvC32Tk3ea84tL9/vMXgV+gXZ/b+PXmkGsgoc+MfUMy7dQ9ByhB6M1BKFCrVxPZWCYZAqVoZNP+vXCZgTAg1zzkDaeycDuf73m63HnLjtHWVsRbj0f4+1b2mSkitlkI16y6AQAkp+WaZ9vu+3Zo3mKVFRstWITEuj0KZAgoBRbutHRgvQpdAZMoKDrwDK8dbuv/IPBvwCzDpWmpLCARaPnnIqb/dMXSB4gTuH2XwLwpsNv1HptoITtCpfMDhVLviS0uwen1cHlfV3DTCQlVfRzv6u3/n9dQgctGJcmrHZViAjUkPX33TPpHVBb5kU+86Nf59NVsYXewa2CKGDosiUz26VyN6Ptyjo9eO3LS/sfs2NmVzLLGxce/3tv/23P/GVr3zlmw4vs9YivIAtGgFL5PECzXteQYN71VHWDV80cNd9P2vKp/Htrtvcd5+9pnv2GDZ94hnZUodw2a/b7IjrBcWstT280y094bj6wu9lofB2ZbtZQLJUh6/VOM1eNdLf661Nsz7ejzdGCw6Jx9DVCX0C6eyEE0EFOfo4JYHPCyLxRwEHXWMeBRL93S1TK1DGX9UF+hIc7GFgzZhfZ6T6Gm8U4BaQlu6lU+0tbFBeY6/YgetQNFtRR8y1ZBf9ulbmv/mOH1sVdgMXzfI1INGASx2zXTcdZV/1DfiiWYMx++zuH9WsZ50C428mt5k020CazYWXeqBUZaDB+WsPbusY9eukYoc36g9di7/KOxzyG/D13vYsGMI8p4PpGYeU0fm1b+QCTtl1Ag76RXv0r65tX8U0+OA6YOjGCbANofai8lA6vnLCrhN7nVk0o/fw8Hh7mGfZWo8SUiVzA+vX+SGH3dvaAHHxYYNVe03XXxx/bRM6N/jVbQt1qJrEaKWDg/vo51Zm/kWadWb72UjBiNmBlXhLOO07gWHVlE28GW+DS+Nr1V77rM4vnafa87vDp030wCT6bxDUOhaLlr981rWpcwszkwnYAL2tYQ+RZNvWJAXguPljw0jzM7/61a++beX5WJzagTAHqdzoRg0sRrpEKqOK3mxiDmjZ333WyBdmXasD3TKNCn6vrzN8HQdKVFkR0IZRmlFs6rxCW+NcEFCnwjiqEC5NNq9ljVqGUIHpUd0ANKYD9D3nccBKJLmGRklCFdR1hBj5Ki4ApgoKPavonpy7BgkKfO69jY/hbNSvdG1p1+4zuhEeYwJSbNZXOonejSQ+Rb9Kd3Td+x7ScedA2eKr0hQfNaKOJ3uvylBbQVbp1fUHksytRrV8V/68c6U8+3/X+8pXeb5G6spfDSCQRNY6jvLqwJ2yekofD+LR3kfm1hx93iACYDOj7VmGDKDH+nQsdWgBVZHXOoEyope2DTo0mynowTFUatPo8X7n8CTPobWuzbwWWLo//lfKWlpcHiKfN/AGQDd6KiBgPgtAbl8tHSzw5AAK42W4mr3tmvlfFJ5NaNbvPsP2CaTJkvuukeqnIE4drRrj2oqbCSj9vVrOqFSqOrnVS69a5Ux/BezGd8tPG2jtZ82uVBZvEPHSp7TruK6N8L767Eb1S2ONLuj7Pp+w86vzXpsDQOqfzahTi0/uWKob1ty/lS0dW4E4h0fgl0NEP9XOlLfuGlxnpLbJNc1AarDBXZP722vH6Inr7OKdi4vqBJf3OV5+2/W+2cfL17dvdJGl2b3G80D7vhuIlzW9PGYugnh10mujiyME5621AGplG2/XZri2Adjy+ZOuaADgOmm1pQ04cWr3W9WCvV+xwZXJJz7vb5skuPYAhqCjndprS18f9eN6dpFz3yARXXex8A14+e7KxnV4q5e73aUYoJiOTrg6u3tsG8y8Nrv9PMnrE81fyRd7Lshd20/f8CvQBp9V51wcUTvXgF/x0PfE5tSO+I2+a0+6LqVBdU0DMq5tEnLXsmF8Ff2Rw9Lda9cOO4z/hoskI0a3T3/60x9qQ/+/dmrXuX2LiNjN4H1+axm8ROoi+s1A5hxaz42rAig452BQHAgl6tYIQhXqjSxU0Rlzy04atb1gp45CS3JEqa5QWLw6Fx3X2u7/yU9+8pscRw1TOZSmAYNm/xz2sAgbx1Sk0Rj6yIUqPv/rnwPNkHV/oM8rQBw7zH7LdOpMVxgLogoYzbnArmOtYrAfA18Zn9JswYeCtqf730Z54HfrjT/Q8TrodUJrQKzTO8ELf7Vdg3TpcB2DOnvWvHQEPvu3Rrb3vMr9Oqtde6/r/D4FsQo4G82tY19QYX+0io/O/TodaNnIceWv2dMpyzlm0zP73OFynJKuRctlCpZFh28plcND7ppy7rqe5HcKfOPZ+Dzr0rpOwQM6A3jAXzNb66vOIid7c2mWSJ9d47V7ZgAdxSlyDzp20eZFTHf/lartRGd6hWO+hs/oBDJIJ5AFwc0CIjqrgNQzyxlP8scw4w99F/Sad/mm9us6TnVMClL9FZHu/0rMRJt7ONUF5uWLOhD+9nmF5g88PoGQHhrVNawM9H3Xv3q/Y6qNKu94/2Sjql/1dZ2lqys4hXUA2nf1TK+hhxswE2BoZvGpdUyAMvvZ/YNAu/niXwfo7PPJmRP5jaV0vvxd56t6vXqWbhAopr9utr+VFwXUlQl0rOw/2brrdKFRty+gVTPz+rSWr2juOuNFF/gL+B09YTy/adDGfYvlGgjhNLT5vbVVKQIvwQ2de+1sA/NdJ/xzKyHYhIL+8nEztXSJYCRHzVg7lyfc9mGt11rHi43b9/hsvC0oqjIQbfGi7PWtNlv/ggcX41Y3PGGxV/yIt/F1+Ql/tg9yV/t99QL7g5dvIKh9XcfuCbPd5EhxUf2JZkRvsqEOcOlQ2uE1ffq8euYbwTzFiTCSeTXp6B51NjufOtUtHcejN7DPoUXvVoX0EMr6EfTtsNkqBuCJ0eMHf/AHP/HttG/LqV2piDIx7TKm/bWUUx3BCqY9KnNoB5acenyB6VXqBU5KziwCENzMnahM92JSbvaC2staJ6HzE22neCg7BhlTUeozciKILYtr1BTDLEO9rMfALaPeVrphEoxRuisFlzHgjPYZeOYB9NQ5e2OGD+hsrJSucQx4WyPKgnPZdXZPa1LHi/AYT9ea88CJFHm9gQNZGfdfvwPbwOR4ENCTYa2gflirohY9lgW/EcMnx8/4S+sbtb3gBo2riPDpLaOsQUBL5Sqlc50afEqGGlUvbS+gvNnZBi/qvNYhcB0FqcQOPT1GwxaFNUB+Y+DILUCza9FEYMeYqiuAHU7R7qk03V64KUv7WnrQnGeJ4pE6Xy1j6j4RNGQ80bjlfXi1mcfSk6NoD84+V848B3yO48awU+U3bgYD+Llt9NpjGXY9mpDBnjCo3b3urldqV4d2v9/jChwksiAch2pjm20wdjphfcrA9DFfdWCUOwsK2A6yRjZ6CFWDIgxmDaS+KzN0hPUqAGgpa8uPq48EPFr6zaGdTpxesOVE1Q+ntg5n9YX3NwCy/23VwWPKkPFM7Zr3rdIQaK6+YNtqi1t1JLhLbz8FdehRa3eDa50PHUQmq2uqz7tuLS/f72t/XjkRDTj1AJoLVLvmeHDXOYsCPwHsgoP0wQ2E7HsHGAqowwjG1OBA3xfw4u3rVHFqrT151ldxwZ1nvxOkajBYU+XE4VmzBubfcurbjJds3mvquNeRleV2UNa+d7iagLS1rkMAV9IBa6NzMWCxWwN29PClE8eivN51Ks4i+80cNsjUAHoDCsXB7tUkzOaw+e9z+o9u0q+xPT3BoK2yaP7re3bBPfcYn2IA19oTuvvOXk7Xb2z7K3jX4OV+h6ZsQU/SboAFPf2uWNj7BmOsjzmtNaF2g+MNbHXLkINkW9bdzPMNzq0Vs/XvHU9pvt/MDq7h29nw0cfj2vBmbcL4nwOI12xLpJuurYftyYX+uq3zL31wmC473CpH92mQo0Hx8lHtNbtyAwdwuLFuvsbMvvtbvq0dUT1nXtseNn2w0mOl8R/b6cdNfWNEzkcPaBgxGecRpSdo+r4AwGIhECG5CsNCembs+hZptS+FQbgGtc5Eid09s5fhr4Jq+VuV31oNE2aq8fe+jpBT4UQQ16qYGylqZPpGVjEhpdRIOOcK/VrO2cirfmrkzNua9Z6MfjOAa3Uiu2bXqW8UpwCt5TvGTXinnCk/ma2CD3zVY+iNp61r0jm+CUUO+/F3zlVLhO4+tq7vWp1bfQOf1gb9GyW7ILTK68lA1Mk1BveroaiDXcDc9by8WQesoO46tY3U+h054aiZu/2lBXnGZC0BlTkLDgxRgkpxihh2PfGOuQjqeFyYx7yUZp3X7Qfo5Ujuvf2dF5TXMW+J2w2mkQd0alZvinvfTZkrvwMC8UNLNtHXeAGjfV5efV8wp0FD+spnPThvfaxU2l7a3We0JaszzkDyQBAwbv1KJ8CHTtn3ABcgVMBOlgQsqjOARg5rMxIXEOKt67BdXkfPZpAAc3xnf9YAEyfamuO7PqLptspowd3GPvqNVws2CgTxDxpZH//XeXkKmtErDXKywz5voIrjg24cRzSrnrmZgMt7V7dodEF1SHVPP+u9u//dOG+wQP/Vz3Uo7/aD8qW51ebWvnE+yDL+u2eKNKOIp+nE6lVy2C1A9GcDNDBLdUuDSbXtpbU+11r10YC6Pa773L2vvm/QsuvyRPP7WStEZG/22+k9+9UlHNDGb+jP4sLShe7qNgrr3ScnoBk6XxtGN1pja351/lqdeafb1vErz1e/oJ3DPzcWBwYao73AcLE+O6+2Bvw4cwt2Lui4Rp8Xk1RPWI/hnek3gURBX4GmBq4FIlRXGUPxcZ1xNKCvSiP+hfEVu5XX6KMb1LI/XRDa/+uH7XhVytpAdDFR+f5VQGGf9UBOmNHZEMUYDWT5v31a/5sJvwHQu/6l2zc+sKlkQrKgtr78C6dWT3Z9mhQRAG4QuDyuPwc+NsuP7+szrbUyYPw6rDFMsYTfPrtn4XxkTm2jZteppTwpalnDRl0KNBh/SrhGq/fp3qpGzjxPUv/dn1Gm6aZ+4yiQqyPhfmXAMhSldh0iY6uxrTOjVTjdY/OQGSlAuK3K4DJQHSERd8q3xpghx0TGUSV3FWgjlRRYFUvXHZ0KLAtKblQM8Nk9lHChOQHSh/UCMDm1eAAwEyTo4316ouCr1u84xjWYsk11qBrVNscqBvQCMO7aXUDS9w06FKDcMT8ByhqURj/9vtUIdc4FidYakb4ycBXtBZ2do2AXmWuZfxvacU48yw5Q5VQUWNbZ6eeuI98cDMGcOhFXNwBH9/AxJcrN/ANZBThkrECxzxqk8Clxa4R/zV2ZrYqQritjYp1kVHoyesHXNXyVQbQwJnTwfrJkTT1LW7R+43VfThgHwfzphyd93DFcpxaP3ixZS2tbYoWHKlcNMLVcuNUG3bJQ3WZe1t88OMWcWkCBfnqya+WPq9PMs3pzwZy18Q3Zqa6uPmxlxg2uVQfUsfXbOrUCgSqYGqGvs8apaDak9+gYOo6O5zpJbbUV1THN0Ha9gNk+7u7Jmbr8j+fJuRL/BunJAoewY2pfT2Nr1llgoLrRb+gu/dFTSmnZ4gYJ9vuWSldeLu2ri41Hs4bVgfueXvK+69b3DTrd6p+ndTD+6Q1BAxnY9TEnjKNd56O2ofJS7NJ11edNUFSvFbdem33Ha96cj/JFHTg6qbbevUuj6hq8wW6wj2yHAxMvLV/hGXLrAL/p6gXJ9pdeKs2uo8TmcEaMk2zhQ7oNjdkZnzdJUSxZPrqO051TbWgDCuRe4FYyTACy+kCQBG1aBlxaln74rmv/6vrSjuPlNz0stb9pUB/NSgP8IhGITyp7V+eXl78rds/frg++7ZzpvotlLrbCM7LLxSFd7yYti7nKx9dGCSwuuCXLvb/j42+nfVtOreOqL2hAFMyi1MNpfiYN1MqqylIAF8orylSiFcoNGrFzuAig18MeGp2swu64MROjwXEpKCMQSmyqoBpp2X1nGBkiYOE6GBqD4aHMNRK3dcxo0fE1suRZWQSnpZLoIgjASGC83Z/yKtitk9lHjPQUzCpqJ0+uv56eXENfoe4z/qyHh7Ir8aJgKDQAFb8tsjNaysoRBg8UZ3C0q0CrdBYd2sFdLaURRaVc+zw6gRzC2zJe40Pv69BVuaP5DbYUlF6+aLbGZ3hbu5mi8nwzngVcBfgXhJrzdXDrLMhmAUhbR9mgq3zLK2gqM0pnkEvrQQcwuAWP9jbK0gIyBZLN7AnOWMNGezmZdWL0U7DPuSmwJNOczQY92kfleb9fhHd8y6n3mCx6tqWNyoyM0Vo2KPSqKU8qUKkzuc8mS/YOzqHdcfu7704Ud2DOqid23ei9+6/8eeMFMDYf2Zj1CYBwKMkXR37z7mN4eniGLCId1ih3QQJ+5qB2a8rNBtYR4eSYs/VVMbLPppusDaDor0MUe7ZEwT4+EwhwIjR+m0H/gz/4g7f+pofYHHzaed9sCN6qTuiewKegFrkR1UebZlaq18gPZ/JuR7ogsFiBHbgOeIMrHReQVT1Fz9zgAjunMuKpNZhVHSnDYy7kSkaDXkO/zqfzInM3m7z3Hn+1/+EE91G1w4GRVfLseYCv9gD2qe7sml0wqmSxoBLP3cwNWpOJYo8biDD3BhXu92i3e2yO2yPHrkuA7Lv9fg5Yzzeg+6vPBJfX0IFupDNa3WROaNlA/Q2kNbh5q7GaIS6PbDwymDeY1lcfI8QB896TGqYr2YzRw5kL9uw3EGv8bbvPcPcO8dvTMPDa5jJ9LXh1A4JoKMDl+cnWm77emm0c61d58q7ZuAV8+xhHQRH0wg/uuVYHuEE8uoiuLpZVrq4kuo/3vLq+FVPF5A2g3SAejNCqqDqtV6/QJ3fvroNwi9UEqm5A5lbc0A2qhho4g9+qy+jO74n/5Df4BP1qN40JP1397XP8D3O1olI/sDweKG69OB4N3HN2b38doLm/2541rPGkWz7S59Rep7YK/hqwPUPVyZhKM0SiEEPtOMKUsFWkLSfBdDdyW+cAgzSDfJmA8+mxGgBIDZ57WIwCDPO2j7bX1VD7SzlvLlMyTpO+gt5GGEtXBrgRHPQCBBmOOiG9zpgYiSryrmuVS5mZEiTE6NS6/BoN96VMgHjCMmHYe3t38YZ+uuEfDTpX5aUMh3E/ZfUu39aob7/gD//wD797PIdx1unSH2NVYCAbh8aNlPuNvXF4kjJtIAG9zOPJGSyPPBm7/nXv+75y1qCBtaqzer+r/JUHrNOaDHpP/KPwNfw3HjC23/md33lbhxl2DoJ17WFmdRKtFXp4RJV1IpP20grSdF9Kn68m2rvry4t1pAtcBN4auGkwhzPOsbF/tDLaQJ05M4B1ZDRrxhk3/l53jdWaA6W6jwwv1bm1Tnu/9VnwCFjixNIbKk84//Y1b+0HfNbQtaXAHNZW3NB5+AZoaHQfQGDA8UQdIpF7Jao3s1b+4MyiPbptHpwfpXh0gpfADT1Rp1ADLPs82tFLKTOga6/yvjeuOm70h/1XzbTeQw9vFN9nDUpVhslXK0wub3RrUF8NcF1bc6P6/b76tGtyM1yCmUC2damTcQMJlYEL5DlMo//0/dbH4/PoFQ5vM10FcsUZxQQdu2vwtet7amgPIevprruWfLG51XPFBnV60IBsy87QU91uUFtfZ/iVvWgGtOt2bRI6CArPoVVlZ+05pM4VmWMiqC3bIyjGdrL91RMwAdqi8162mj0FJtBZBUN1d+nR4HIDv2v0cvVag2SCtHiiZ78o9xXIK2YcLQTKansvntPmaP7+7//+2yF+kjOSNetn96lDW741D8kmz1luMBEGcLaCuQ3Hev668Sql3osNsE4Xo7N/DUiSd/JUp3b3py8FtnqeDKxnPvQVnVa+di3nn13uWTFPznj1imZ87L65NpDCll6dtL/0+O6/+Qn0Fg88+UV1cL+RCobSuvqebmiw88rFUwDL39JFHzA4eUXz6pGuuf+tie0HC8YseL5ggEeW7rOPbU9tU8klxAZYh3f/b1AilBwVfVQou7eyhNdP79Fo2I2EYc5GF+rEdLx1fqus9FPFcaNFdWrNqc5lHTmfF1QyRFMEAAjAW+Zx7VOwoMxYB7vGtqUwlyGNa9fJMq1VcI2rTlnBhz77jKoaghr7AtGOoZEyQNg+4AYkKAvXEAYgDl9yvBuh8r5zK4+Uz9bU83tWG2ULWDOOBR0FhnetuyY+q1It3Zslw+vGWQVcmbj89UohFcSX/hdA1tF4Ar4Fnjeo5DtgjVMERJEJQOM28rDfj/7A/B3PHVfXuxH6tn0vC1DDJ5vVPXkcr9KjkcXuJ8Ifrrmgo4bFOAtiy0t15ACY3r+6Sp+AvoBTZfEJ+JQe1Z+lq7UraGa4PGcXjQZmKvOCdOWJBvk2xj6zr+OpjPoNEE63XBr0enNCU/qk2b0GX8qzghc9AIb+8Ggl5WzktI4kxwf/NTtQfb7+HFaGF/sIhMqNTHwdwfJQHfQ6L5cHC8yr83pN9SCgcYMoXZ+bWSgfV1Z7r8tr135fJ7Yv69cgBdp0HK8Af0FVaYW/t/Y3kFOHcr+pQwDzaHUQCmKLWegboLJBen2iT/HAxVsXuzTo1fWuDrD2d92uPXylEy5dbxDu2pyOF+B1SGDnZyyTiT6fXACqckj3Cl40eHT1Yz9/Wo/Lo9cpN5/LzwXqV9feIGeDo7DLxTE9TfjqteFmZxtMry6g1nFdmu/67Z91XeW9tu7S7DoYe9n+IMuPPvTOdOHute/Yzl2rAkUlEB3SU/UbDFpDtyY/yPx1ave3BxM6S+ceoli9dINzZLXyhMfWh6BJt/J9mFN7nTYZ497n/r5yv9ZAU6sQqvOf8N5aAyx/Hvm6Y3zSC1deK8/VDf4aoxdHXPKCnrz2pboGv8FRdPt4uI/QdA7Lx7qn9rY7UMI2sCOiSMgYgi6MqJpMZp28AvtbUocQBb1VlMbS8V2jVAVboANIuo6CaoaixvQ6TAVWa8BpI4c73VTUiBNa5lmrM6gp+biO5wWFXS8ZIgx7o2B7tZTM79GhkeICSPNq6dONtnejOKHVr5eyw7UByB2aYy1F5u2zpJzREfgrcJ1jWmFvpOiWwTRytbZ1GWi/hpxDa67m0PLWKshmlPEcGpfP/bbOL1rWoTaGGyAoELpyqdXJqKNR49tsyCvHsXvruveqv6Wc7GVtlhbdlDh1fGtAouzJFJworDk1+GUenXPLt/e7Zqvs2yJvxobPfHcPnVu/HjlGBs1lY1mGp9m06iHrQ2eZr2ubQeAc9fmd6F4n3NruOwc0cbgKNG/QpDxB55FhesX6i84XbM3A7DuZFHP67d/+7XdO+jKM+ukJ8V5OOy5wsY5bD/uINSV+1ts8rEv51DW1Qz2xuuXjDVI6pEIG0PrJNiu149gYk7kAnd1fqwyrNOdgj47rF/DbvTnU3Zc7nvOduRmzrC3gRQdYL2DhrnsPzNHnE580QMwpqE28oLGOLZ2mTzzQCg5yTvc1U2xN+p4d8Cgu/d1sdOdR/VLQjD9kpbZOTillV+CCOjstb3ZtHSaVA9XJxSVoaW7GJvhhXdgNfRuP37e8tgEWh5PVEW7ftX+XZnjAGljH2sHa1Ook8nSbucvkbYwLVu43ZN39d52tU7v/nmgwvjceNPAc57WuNz1+ndvLCzcBYY7sd4PWdy39vfRp0KV6u2cytIqGDJDxPiWja7etHbOTo9UqZLql5ymQMGdvv+H4498GSvDODWywifjSGQ8ysu4paLbrtpYyt8u0eWTeXjJtbHrlpDILD17bhX7GTg9sPJ5EoVpj9ojdsuUNb9570eHWuz6B4KaM4+bQrWbk5/K4v+Rwcx49Nk4Zc7xZmb/BgiYzZNVhELxbHE824c7/M4/dEihq1WDvf3V+Py+dOu7KTCuUNlYBwpYpV9Y6t/pjcJp7oxlbvbV4SoB8ZJnaDqiT9dc+s01oDL+jmX/0R3/0TVn91m/91rva/n1XB8fkREnKPI1kI5qFwviI1UjlXvazWYQb3ahjQVABMUJxlVUjNwSloLugc9dsUQCijW8M4NCVgl/X1zj4vwZvc3LEtcg+ZVUnCejB5D25rsp5wseQKEcUKdp3jXSV6YHgvXqUOAXkPoxQwWz3+BBSytTYGCUZkr2Uk1YJubaPpNi9PEDcuJ54WOanwZoZX4CwwQS/F5lqdMnBCmsMgGidvV8cAqU4+uqDufXX4EiBcku7GS1r16DRlc2CxjoyDVrUmS1/NLN191tZA0adsW/krkENwYc+5oY8bk4zItZtNJuBpjCVrdXhcO8CAns4GZbucVSKhVfGh6K89EcPXFqjtLd+9ovimToSBSrKGDefZmXsNdo4OTXW26N3lJo1qn+NSp12pdQ9KOc6tQVKGoe+jh+eVQ63+cmwjE6CMpMR49pnWyf8uv44c8rU6NOt7eZvT2pPzbSXttnYu88XP1/nvga6Thr70n34DcrUOWrFC33TDLg17MFjzpnAI+bjIfI96XltOn+2b6X14w37pZU9737rZ78HCNGHnq7zLtAnw8VRa0S+p93Xmac3jI/TV4frtvJeZbrODZ4tOKpjegOiVwd5da2eSsgbBGylTgHbbWxFg7tKXxeYsRXK2jZju9bANJvF5rcs/GaWyTre7lYWY22VzvrsiZ+ViWaX3bul0WyFA7+87/kW9t+j+6WR8TcIUJ7CLz7jlLSZ24LEP/ADP/BOT0yHyuY1S6RUdPw+B+6eOC+AQ39a/wbOyTC72u1DDXbBfYL1DVCwd230msRGAyC1h9UXu1bWiZ3hlHbLlMfMVWejxXh9W/jW/6c+9al3gWBbF27rwUhku5iYXUQH+gR+2tzw1NaHLFc3VhfsJdjklGW2b3OzN5edIUvV2+WBJqNuYJdz7cyDlj/j/QbsqvvwV+95A7zGoc/qdPr2KWPYYJAg2e47WijHvhUUl4adfwM2+Jj8X5yFL8nsGhyiykc/PYPo0qK4uOOrw92EyuY3vu2J0u6zZkzu0dbEhGvHO8rJ4T8+UytbPhan9jLDdWob4VWbPoPx+c9//u3zKbVtCC7YbcTBJAGkRqB7TRWyReyC1Gg2i4WQHWed1XtPSq5Ku9G9/o9GNRTX0FIeUupVqNqTsiqjNWIE+Pl9nXEPNtdnBdK4GhHDuISXYe1e0UbdzdvvMTUQw2AAVPr3m45hf3vyH4PY/Xeu8ZsC3h7YskZZN4vftUL3GmutB2+hVY0eECGA04MB/LYAoIEJoNMYr4K1tu5bBxOvGn8d3gJFtNUPA95gDNo0M6Jv97wBHGC4EesaHdftvhzJZo1K71egcwbR42H2m0Xt5hgt816D1WxCHY7yW4MVaGafTzPCaENm9n4KmzEDID1iwnUCG9ZShH/jZ9QBg2YOugcO0AWIBPDMEV0ruxyS9dOTmQUHb+CxMn+bceEJBqRAUDnmjA1gvN9wXPcb+2WBIL/hGOOpOjp4EE/1pGHz69aC6ry+b+t9/F8HozzfcuSbYUFX11b+ZWjNr7wuaGJvfysarN3mur7HJ9V36D4ZsC9JgG79zvllC9Bwv6eLzdd+2DYyUQBG1wMuzdxdHVJ91PWp7a7N7p7uBk3o42ayuh6t+FCCthf+bkUBWWrQg066IKg8d0E0PUF326Nn7j1A6ikjWdBc3jR+oJazU3lbq1yU5tYLsKNzyIQxsdF0nQyKZ3xzFBtwvlmbZjXvdze7c22bcdxGn0x3exrB9LmnFqDXxU/Wgk7BP3ihj5zq2jbLSLf4TqCyzi0dW17AQ17G12zhdeDxbl8qCgQbOWJktRUC94BTdOCIrK8FtPbbPhv5ie5o1zGiqb275u73ZGC/Uy2Hn+i0nkXw5Niyw6pdBJOny+yxda/a5OKf4sMn7DZampfH13X8levrOLuufVvz4ruuNzwDB0gg3YBHdaCAEtvcKsauV7FQ1+G2iz3xeX/X33/Xw5a06hqtCYXa0co7Ot6s715K4uvolua11+2387njIyMek6c5oPUjdWrdYJGHno5bwnciwO+cVyfdjbnn3O7zRZ4oCCVXdUgQuIJUsHQPdZkAlWCIaBwUiWgR4alibYnBGsO57ymjRkYot5v546iJHjrFsI6D+yjdwCDG7fmrawUs+tj3SiNFh9z/Zs96GlsZ3TXmsSbbygHugS0ivo3iWi+gAxPveop9rc+W9BmeauS3J4YSUqfZ3lKnGh5GYtc1SDJ+tb+kxq5Zb/xV4LlIssgj2gDzBVxAeMsGlajWcUcXj41g0PAfEFLHSOvnDNoFAC1/xrNVMHVqS7cCfDQtr91IIMDXYEgDHQX/TnSVTRKJ5qiiodZnRTb7M12x957X11Jz4+IIkTfZF4DffRlXfVOic5rt/edw7Jpd2+c09qRVNC2Il+litIEPhmjNwUnAUyPP6LJ+ZBmAeOvZgM7muN84vEjmU0T3yZi1TT+PX6c/nTqKfruHChO8s7UwrslII8at0igvKaVucJEMO2BN8I0jp4oDzxcQ1Iji7dqia9C96sA2U9sod4EUfihoot+b6Wvgif6sjtxfp8GvLahLX8pmykahE70KiLfCphnKztuJpE5I3brSK7V15aHqylcgqpVEN3DdffINqhY06l+AoEGxZmOfvqtTS5d4Vc9wnhoEFQAwDiepc/KaKTCX/bUO+07FggMMq69bOcDZVH7uPZ6/dq73rTNj/AXhfleHq3xe/m0wlR3Y7/D03pMBh9D43zgqH/hOq1NrHepc0udoDhPQAVuDHWJkbe7+dWso2IHXeiaL4MD0nYM2BZX2l411XzTgELaUszbTmnQvINtBl6MB3qx9REsVF8Y4/dx9teZgDGwqfNO/8K4DAFed12xiHa1bHtzA0s2iTdfj3euQbLzWvTqpSSS85H70Uisu2DA211NTyFrl4OqU8lgrITY2+gH+3UuZNNo1sM3ePPV9tzz2sVvoj4frhMGEaD67KMs9nsRrO9xottV46xuU9v6/TrjGXjSIf/2Rm/j48/dkg9d6/lGD7HSpsdR+3ExsKwqvU3ux5A2IVa+xF6qOhtk9uWT2cnw0niUvH9q+8S20X/7lX97ovvP6zus7r++8vvP6zus7r++8/v/i9Uu/9Ev/Px/D/91e36H5d2j+f4fXd2j+if/tr/miH9a+pUztZz/72be/P/dzP/cu9Wzz+vYN7Xl69gHtc559T1prNLSZpJYyiRg0k3YjDm2iAs0MiMo12iirc8vXmnnrbxpJd9S/jKH3sjaiECKOxtvSwWa7RCZEamR3RK9EXRatWPvVX/3VN7qiRbMGjZDfaJJoVMsd7veNqtyIzi1l6HU3EuO3zUo2ItPyqt6n2WPrUHo1K9ooYLONIrndW7jo2CLC+26RppU/lSef2iJFv/RLv/T23jM3f+qnfuoTn/nMZ77pOWMtjVIW2JLD9q8k2r2fSjVK567tja7dzNOVh8pTy1puFuuW3rU93U/flw/w113jRhObyWukzmtr9Y/+0T966/PHf/zH3x0mspfHD4z3lXrecvOWHfaRGz34oaWDpVv1geh99U7vVVpVJkRF73o8Zb6edFn7uVsDmvVsRsv/lQ2ysqjmosOLaO81HaLMdM96k3n86le/+naff/JP/slb9YzDPdDh6oBbVrQmA9JqgUZyG9m91TOdVzOazXjeKoH+ttmX7jfvfkTXXTt0K3rK2x2bLHvL8jVZjOmbr33ta2+6ZpHk2YbpHvahenVrs/bP/tk/e1dyyB76S7fYhtGsfzOTLSW+GVS0rww0Un4z911DY23U3+vq+5bZNvtwsw3V7XdfoUyY9dvLozrGv82cNFvQMmUZsH3ex+rtHv/8n//zT/z8z//823j+xb/4F286ZToG7Z2DcLPSt115rj1TgXLlohkdv/E75ydc3XmzJM1K4Gef6xv9iz1qPztW+9SuHrllnO2nFWyqAZTmO7Bn+8Ona8a3kwc0/6f/9J++7Y1VjaGCBA1sJXJfpbF4q9UdnmOPt1t5cDNO1V3Vt7VbxT9d27Zr8y5OerLDF18+ZbfpOHsHZa5vZR15cf9dP11DPqZrth7bC47m//pf/+s3fQ6HjCaqx9DkZvgq07X5lYfu7y6trp7ofYo1ru2H49ClclOc1Iojct4S4V7fsV27W7zo/pW7i5/oLFVQMom2gfzjf/yP39H8Z3/2Z9/4/Bd/8RfftllOx9QfKW+00vTy0ROv+v+eL1Bfpa//9UEFZbcuFGfo01kPrba4a3PXuzjg6srOp+XMfQQfe6EysvMcXWY/h1P+5b/8l+/soiz8fjc9wxd9X/uWnFoTAB4HNL3mMKwswvMJV2ZA6dxngxX4lIkAEp9375zTBFuycRnglh1c0GfBzaX16XVqW3qwse/eDN8Y2uEpGN2eSuCqAJ5gKIHs2MtcXdg6npqDSDBO16NgxJyu4NaBvk5qAUiZ03ec7ifBu2tR5VbH7H37MOrUKkGoEmvJ+S1tqVOhH0q6h0MpgXH9K6f2iQZONPV79ObMtuyJ09US+ientkGegmwN7Z6U4lV2VTy3/KO/6zrf+72ixZNT27WvImzwpmVKyqBuYKNrpaFrnRT0p0ca/CoY7eNUgCXzZIyNkwwIJnkBzi25v84BhV3noMaya1TaPxnX8i+9VWNcZ7DP5WyZl7216K/MCyAyd3O5bcGagUWnVLa88ZUzWJo9vaqbrqOA7t6T7x5Esvv3pN/LV/sfbfaefDWYgd7GVH64vN89/n2hbe3CE3gdgOkzzu9Jofeeo7OyyOuQ97ChBmzwUUtfGwhr4IWOusEE4+/2hdqcG1Ttdz4vAO1609W1HU+6ZNeM1+wzRCtz2HejzYJas7Urjwfm6sRcmWFnOU7kdM281h980mdBPgXazeGWzNWJd0157gL5bpmpk9kzG27wpvpK6aUxdbuPkvY6uhxfeKfrvhdMU/1h64NxtjTbWpO76gb06MGfMJZxOihwNLKv2HyL8/Dr1qa6pMmI8Yb1vlvH6tS+arWd17YWF10wf3//vs+rH9tn+7Y2PY+g24esCQyDpvtbuwfo4zc0n+xMp+NV5bnGZ1zd1neDV64tL5bP16oXNL+/ura4lu5RPs1h60Ff9F/1MoxdGW2Q6GKoa3fvOrTMvwE5v23giNOrpNrnaD56j+7bajlfaHyMx9HPesArDZI0QIWGNwDeAzqVItMf7Ce++b4P6EfXl9f978DWG+ixNjeAvHZ5oP22L3zp/fX38F+DrfDfrlmS1OM00aPB8o/0oCgOrSO7996BKo0OYKwCo0ZDEOQCcUSqI9aFuBvMa5wxZRUbxiIMBdEUbIGPfigMIG+MCoBt3iKViyqLWNrcPIYQeXOPKzyteTdHyuu2C5rf157A9M0A1aGuAL+KwJS+HW/n9UqRXee549BXgb7IHKFy756kWYWw6+9zCvHcddibwfkw2nEe7rivY/+tfEfxXAX/Ye3JOSUzaP6+fp4A9bfCQ732fdd3bZ8UW7+3ztfItzWIRRnKgPt9ebWP1nBv2daOq8alkXbGsvPpc0Wvc3kVf+d76XYrFaqn6jQAJ9WFeNi+YPxcp+Qa8P6eY9S2e0xvdZ/7Wk9R7VzqHBUc3cqb6ziVF+qw6XONoWWozK97hrrn6urPZgIKcJstXqtj5gTbq6/Mw/iu81LwVP1hPXe/2UB75Zp98bsrRw4OKcB+JSc3IFn91SBI+Y7je+2sxs7tJVNaO3HnWL7u2l6ndq17h++TBvDm6OVAGjIumDnaOXHYCeKqo5YJ7MExdx2MT2XG1V14nQPc+T7Zp9rK6uwn3XOzRL1nx9j9nAVrPVugvFj+qRzdPYm1Cw2GlF7VjQ1SCuC1Us0+9sqv6/Cu9Zxe+eQnP/nu7Io2eMg+f2O9zhGe5bBVlz3x3HUaK8ev2uVnv714pwGs6v7LG09Yq7qwTX83ONhndTuo03fN8pcH2bQ+97aNY9B5Ck50vHiAQ62VN/p5z6m49Cgvlbb6e4V5GtRp4JWNKQYshuq9n1r1e+nQ37kX2tofWjk3BuO0JrWhaw6GnJ9wDzZ89Sqd3IudRzM4oHjBmOjd0p5u+O7IGr6qLrIu9afMUZCx/IYe7K1x1IYVYzVoVL1lPrvWeSVdw9FuwYEvfOELn/iVX/mVd2ctzS68D3v/hZxaJ5ltoDJYNt83alSmqBIqwzw5DDXmFwA3KtAm+tXMa5ngKq3LBK4hWAVzGIgiF3V0QND+9/wxaXLR6D4YmpLqoUyNfr7PeehBDgVZGgYvnW7k3ny7PlVO7fuuRdfs0v1Jod1rrf8Far6rgi1wLLjsIU0CDXUWr+LnHFMUMjpXIT/xxeWRCugr8OLaBkmuIq6D1Tk/0fOuh8/7mxvw6ftrQEqf2+66P312ndDrqD0ZQf1QfjdS+0R/kVAZ1wvOr37ASy1xYXxqQBrtfcWvdRwn183q3mxt2xOtGyW9UeHSb9f2MCL90aWAZEvn8Zl79dXHd3FAjbkZSQ2db6DEWHpokbFV11+DZ343eHj5r/q82bcbXa6TqQFx1V19Xd7tGM2pn1eXGDtw3/Ksro8xVD+pCLlZpFdy0dZMXSt9Lm9d/dn5FjBf+9qAAzCEtzoP/ZCj61h3rb3vfesQlGb0tuvINr3O2XTIjt/J3glu+Z5M1X6aAz6/NCYT+P3K86XfnUOB3tOaPH1XWrmm42PTjKkBnQviCyitiXUswO0cmuno2sILDYJ0DW7QvYGL8h57tjGvYgG26TUc0wYlKwNPGdfyZDHak2x3HW92q/d5ZavqOF05bcDpyXa+z54VD9AjfY6uqsfKlescoHfX++I6Wbrb0Pvq0fK9VkxhDH5TXXvX5sn+9/6lUW3p/f6uYX9TW3Dv1f66jpXfp+Bc70sOrMcd29q1/TewvWar1LVDd6z1RzqXBmmexllZICvdhqfvjfX/zGGvt1qjwTAZcRjLYVmlZ5NFV+f3Pb52n+qB6mc2x+8F+SpnG+NKuT014q7BR+7U7kZKpxjy7vF5ih53YZ6Uw2XYTrBCeZ0O/ZQo93pEv0JbYrfPAi2RjZaHNKqkzNEzBNfsh/C5/RIbQ5+xd+f3RAutDl4F9lVErfS5a9H/62R8GMNcxfO+39zvLo17TZ1Y/V4DV5Df9wV/+qxyKCh4UqZPc3yaS3/7yrjVwa5Cuw7It+LUPjnerxT5+2j/RPen/u66vOr3yumTXH5YK/9eOuKBOgVPAan7IvtK+kQbez0DWYN0Aftk1u/teet9L6jqnIy/cyxt7+l/dRh6n/I4/dNg1DUwdxzX4bzG5Oq8G4y861xQcHX4DXaVDp3bLW+7mbbKvbkaK5lGG3NsVvlmcIzlrnXH1wBSwWQB6N2r1P3WpUez2LJNBePls1e8Y1zuzVEpXzU42f/bV3nulZ3ttddRRe8GBm8w9Kl1ba5T3rEYQzPrfr/Pmlls1qaPp2mmQhC5smcMd/6+e8IiT/z8YXrWvC4/dJ2exnD1X9caP139XF7rOPEMfHJlikN059wx1KZai9vHkx29AfJlWG6mtveqI37xwav1uK8neb7r0c/af6+7QVl/rxP0tMYd9yv7py+6765T15ruqJ0STLxObe/5rQSJn2z0h2G3OkGXtk9rdfu/9LLeNxh5dem16eymPqrze32/L093Pl27S7dX9uxVX08YDN6//dW2X/qUxtepvXzWsVUmn4Il3wjP0iV0qsqA3ZtTW3urjwYTilfXLk/6PRrVH7vBvgZWLg83ieXkfjS81QQfqVPrkAUPj+4BLi3/KtObLAJ00QryyjxPRvRmZ0QKKY8CovZ/76kvfymcRj7MoVlCQiYzjUHsgdj/27ivLERJjyOq99djBRxCdSPijRqWdmh0y7tf0fkqGe1GXNra7yvh7Xju91UUXb8LMMvoFaZbVui3rmvGquN8UlB44mZMnub99HkBmbndsZWXPHLlOtLlr/vdK4V5x/TEv080v9dfer8y+DUWT/33PpW/V0bzw4xkFW+d1io1zsHlsQYObpm4sivX2y5wDV5pKcAkg9P9jX67TJGDfRiBayAblb90eXKS+szUynEfFQK017hodeBKVxmXfWdPqPLGPkBee8pwdn2vE2CuT/r5CXw1k/AkN31VrzSa3aCQsdZxulnjOx5zrsx1r15lkh2wJ9nBOvu/WRUOuHsryxT07b76G9l/Aol4u7+5gKTzLf9dXgBYGhF/osWVh4KwOhFPlUBPcxEYIpN4p/JYPSPCf0vp+hiZm4mwB3afdR9Z9wfinbu/sqW0HLmnioOneV5wem1vHfAbjECnKx8+b7DpBjMK5nrPWzZYPVRAeisfeu/qxM7DY+Mqk9dZRs/e/1Of+tT/h1NrPK2OeMIx1UH9/+6Rf9LhT45D25Ptuxnl0vLSpPSqHPisMtO+2J9uZWv1juvQ0jPP+2zT6hy/we/VPZfmxZHXNl0e76uB3ye7fvH3Ey892YaLLT3ypnrMOCvzMHIx/sW45Kb8Bpu3+oYMtjKo4yvmL72rxy7vas6yKJa6+LTVV5eW1d91imvfuoaaueOT3uNP//RP3z6fTBo75xefkV386b0zIvZ/y5b7eL2eUWRLS20q+vKfLsasTqx8cmrhv57N8rE4tZ7XxrnrMzQbWao3XkHpniztluDeCI7PRGAxfoXdwQdXcNu/dpmKMaxBoCh83/4aVWVgZK+VSK0GXFmR0gQnYm5/0PbiLoPr+avG1MOQnlqVeul8y49uM85XDt0V0hrdV+3S70kB1iiW4asMjbvgH8PXkKHzE8CmBGr4RXg8l/SVU3rn3LldPrxGd/eocgBQujfI+viOw1ZFV2VX3jbvayielITPb5biSZZ67VWSWuffteqei7sWT055jWiV+Ct+4Zy15Ny1PdQFoKXUObfu0+cHmyda2ttnDVVUyLY18AKUcQpbmbLWLLA1dr8eQKefjus+B1L1h+c64o1uP9iLgvcs4IIGeniNQ7bPnXbYNaK3n5y78k7XEw90z9d1qlqRQK6rm0qz8lfBR/siK9a/uq56pYCkDmqrcxzAUvthDj151Pq4v4BkdUxtHxAqCHJ5uzQsiGxlR2WkdKZbugevEew6+ZW5gmnzKM0LoNyzf8nMtQcF8u6FL2+G3HrWeTR2zySm8wSN8Myyf3hl9O2zwfFtM7bGYd53Da6deNI9F5RxoKu7uhe9uq8BmKfWIEP5u+MyNkHxGxBeayWH378vMEl3N1iE99Be2XFtTZ3tjuPaw70cltMGm/Vwndq9p1L960z6zQ3GVZfdYMGd//vk7gYFLk/4rDqs641mdPLe41Ol9D39uY5bHbUnvEOntG92pc9Pva3OlIbWddAEHfu8YnO2hac4TtB07zcuiYbuU69+7JzQmV6zjnXC0IPjKDDb39w5dt3Rhi6CD66e67X0y1qrbdiaJu6M844Fb6Cj31uzVvmgRf2e6q2LUztu8+l16HcDLt/zwZ5667Nr7nk0fr+xqpJ5dfJx54l+PUepGH80rO28OKL6qOM3HgfySi7AXB9b+XH3KDai1shNlX0n4m/3WVQhdZG0Ro1rwEtIjPl0/1eErVLqq4qlDPBk+C6QqhHwOIL9ZovkJFdCwxGuY3sdcsxzP6/ydr8LnG4/10hcA1DD+fS+111HtCUHHU/Xq/NrFqDrVFDU6/ABAaqD5tWS0dKpCuB9kd0LsJ+UpvfGZbyUL6BTATVuclM+oxRelZyV3hdYPjmRdy3LO51bjXt55QLPrr1x90AFRq3ydRXyHff9/465jkMNKnppt+zwyUFitM2lJ9oWvHLUgZPJ5NN6trQU/3XuV1fgoztOBrzlk4xOs7nAsyhrHUX3f1q/yxf48NL9BkxK61d6iDz3MLca3su/BRdduzrG+ndNT7EFtIC8Grc73wYcBT0cjqX/Bgs4su5rTWRquzbNfpZHb1DXlpwC2Lse14m9Rr3ztkeKk9aMZGX7gqHqxQKpZuf7u+ogYyudatuqQ3rfgvRrr/qbysz9/4L0Oh43u4pW5YMnm0U2r2zcdagsWTv6oTYJ0L7zuveo3Hfcpf3Vm9duVGbJWw/fvADU2CtjdGHH1HsUwxQ71RF5omnl8AbM9FdscO1EHaHOtbrg2gHXoGXHdoOlvb79XHB+HYKLlcyjwZ/iHzrZuFR4cCo6VxigtCGbeM1a3dPO3VsW+KnVvt6ASfsYX0i0qBxsxVkdSs4O7LrPVE2wT5I6xTQNLDX4Qje3lJXd6/q4hr0pL17e8t6+8PJ/z6Roo+/JNz2+14KT9ps2AFMnuP00OXZ5vHjmrnt165NOrUzUnpR/Lz8/Ydi16sk+LaBr3nNHrhzeAFsDa8UCTzpRe5LP6lM2S8XT1tLYPzandq9GI1oWWqNQxbjWbIZBdoGr0E2YsFAGV8E2EtNIoEW6ZTSIfrMI99oaijpKzUA06lqFXAYWBXNU/T5bhmj/L7KpHIBSKT2X0cU8BcuXIS7jtfU3V0AuXTrH9luDUvrv1Qx3yxHuGlbh4JX22z4qHNcBwgedH+XpcQWuryHp/C+Q9nmjb5cvu+bXGdq6bf2Ut126NvLn0T/GKtp5Dy8xtwZ4Lj2uo3vXvrR9cr44fI3eNnPc0ldyMNor2d013UdSmt/25Kg/Ncr2OmDG27n11OC1GxDxt45ljfzmMTkkp/bs7X9OLXlEF1mHJyNS3rn0L0jpeMgQ59Y8nFjogJx9v7EK3HCCjA9PP/FQncAr73Vqn8bbsZJRIMApv2hKDrtXEjDxWLV+5lmldYL22m/tqVnjkDJ0ze4UNF2ZB9I8a5weaunxfr95MObN+l3A2UO47vOpOdwyK0rh+6iGO87qbeNpBYixOmgQeCwQEWDqepP1zlH1ARtjjJW7W9IKtDjN836HTyoHLXWtLKJrdVkDT9fOuIYdvzYOja5Dx7GuHFYuqyevk1Q9CUQ3wFQb0Ox15f3JdloXj7TpFpqu/StHrzipwayO9coqGZ2M9ZFUbQ1YdD7NmF0A/tSMeZUMF+wbXytNug43KXLpdu1FdRfauCcebv83yK3VMdl3Peimc8J/ZPGpOueJRk1oVNbxZ7EmHOH+DQLSNbb89Tds951b5aa6ubTEGytN3fNu91fZMxslQ2Z8uwaWWWumFg2HbfsM7m7XKZ3qvLvftd/GUKwi69gAgP8Fr7s2ymyNZTKIRsWDqhS6hdKjeehyGG625JVTWx0Hm9QmX6e2/5fH69QWb95KmAbuO5ZvhK9KU7qkfGV8u3YyzEbo/8pz58Inq29UG2pu1zfUiq/X/N0a2MqzqlbY9Ftt3/YjfTwaosblOj43WoRBff+U3VwzQRGSmwkoiNk1FHajCKLRFyzWSX4VOXCvOmPXyaqDhZFLD3sjRivjmeJoOQmHlvBPYQCJ16nuHK4xbPTwMgfF8Gq+F+AWkPiesinQ7ecFHLJ+6GIspaPsU5VKs1blg4LsG/npelZpixTuvWcnNwNyHb/+3/fG2gg9ejbbKtLZksbdX5Zn13BGttZ73+c5K7MQ9WzUnELs+BopRrvyg1Yg1JIiilEJ35SYeaMlcNB53xITMuuRDg1wPcmUMb1yBNfIR8v6GOD+vieIX1lAE8GD0fmv//W//k4OJ2c1quiqgkL/eHnXKvMyrir666zfQINx443rbNyAzw2IdP1ERffizPTxLE/ZLOth/Rgz7VYx9HO8Nt723FiPrJlh5wxe8GSbAD4R2Cug4azt1ZIz+nHPqfNsbsCGMzbdaX37HEWvgmxZiJ514Bmp1uGP//iP38nR7kkf7cW473rOHT73SLu/+lf/6jv6mbux4aPKsfkXBFSHm7Ng2ejcdVHh08DOmjJlfNutLN///d//TUEZzyZutm4yUMet4LvARd8F2Dew2WCU65oRR5t9tnWqrkEHY6jtMKcGxmu3BBLcr+06s9VFxTDm4dmt+m0J4X2KgfUCeP3GXre9H68IaDpY5qlE2lhqC3zecuTaVU6McU3P9ekL9H31UR9zVdtt/DfocHUTWtBDwziX5u51nW9JkequOgV3TW7Awe9v1UZBeh3o6l06vIGkzpmugWOKUxro7Yn2TahwSvc7GFUfnF28f8G/8RarNGDW1iDjE5/XyZM0MTb6e2vmUVmlD71t3uT0KeiCj6Y/PCNXwK/rVB5g342fbrpr7t7+7z56W3j2mn7nkN0tPXT3PZ2es0q31AndZ0sqeZ41Z5i8XnvJuRYYwK+99iZt6I5Wvt2MZXlh3zVwBD+0Eone++6H7V37bHpBf7AD3fBHf/RH77bYVM9XN9/tAsWfnVdxkEAJbFw9z+6zq7WLPYR47fL/R+bUNrJWYURAzHqdWiDmArpGt+oUc2obdavSqhBgoAL+Kv2rKC/wrsNTZq0TcCN4/lax1dEoMwDDBQgcghm2gaM6aNepJQyN+jw5ZwVHNzpWJroG/Tor2jWkpUUNnmsKkIxpze+ehLpOBMP65CjUMbtjbFmJgIbMbfd5u/4pk4hmfX+NorE0EkbJ+g2F2GxV9wFSvDMqW3tZ+/1VboHHydpVAn3f8VmLve/+D053sw59NEb3i5hHnzFpLWp0C2w2Fw77ePkCYOt2gyhP9L/7fsoXzUxVyXq/+5MB+2WbjVh/jomvAaqc4tUGSvArp67H4t/SsgZ5vC8IYExqvCu7HJaCgBrFGney1exE+2tAYve0z/8V7fVxK1aAYsBm/XAWL+DFK9XF9GGdX8ZYJgmQBPb3PacLUOfU0gdby8pl13JtY50RFzAc8DGXfcd4ko39v2s5T+uTHZIlUFUxmuL3Orz0uyBP9Wx1Vp2/C7wFUsio0/MbZPBbILngCF+43tyqVwAhutLWCLoA/xWAX6evNgP9AUrXyZZvbAXO8MMFywWNdZrM487lBgye6F0dVr3p5T6tlCimucFQthwNq0/x1ZoTm3uOSAM7T8Fm9Kmd65qys3RUnU70N47xjcCIv9UPd39459e5N+t19UzX7Ynm+meXL76iG6xDgxiqO6oDy4/lkTVBsWLEnm0BQBeLFahbA/enV8t/5Qsy4bvKx020dL7X/tRuG4O1KW2t2w2CXbpfPLD7qlThDO7/6TrnunRtuz54ro+mbGYd3VQQyXoaW9f8BnyrA62J8fb+AqdNUu2z6nOBVk5u7dze4wtYBfZu8J/corlgwN4LQN011fxWsPS2Jwy0saz//S1GrXxerCswIWlGV6C5Mfylc24RerYi4CYWjUdVD9qXZ8lUq3OLrTvPi5/4PMNmPRvFGFxjTdCh+5w/Fqf2gsQr6F3AgluPsiHsPQThGhmTr4NHgd5ISxWayMt1aglEAWeJfcF071uHrKAN09WprSITJTM24KzKnfMAxDU7dDNwN3Bwo0CNnJlT1+Iq3zJhgexdQ8alCq4K0P/dzH33V1c4gC00bnSZ0Pgd/nGfjrcGtc5Noz5ezZLVqb3BlyqBOqWl1Q3koKcMjdILSrD35YzgGUpYGeYAUCP4PWjgymDHVFBT0IfuU/iLOloDQNmzlTnU6ImPgI2uPZ6uvDv5eyejN3pex838265BvgCDHOAZc6wM0hX7XsnqPl+0uONwjWdJC7IVhK8Bjc0AFJTs+umgjr2KvVUVDRKQi/3OwR94DiBgaLtvSdDkOp3kQebtAofyDBrhvSej29+rUOCMLJo/fnF6O75tqX/1OF2m3QAYkLb3W4M6kKPNaLDvdw+GnVPp0LfaGGvcCP2+H2gb8Bn/7/0ysrKC+wxfcbDQxtx2XZ/hV92yv+tzvDD5VSqlOsd15f/SA6i48kG+ZNrIKr625mRr15Wf3Wff00f6VSFSB0jwrxl//Ifn6Hd0rXPZcbeMDz3NY/RuVhlN/aZZn+r2yk75DK+0bPbqpfe1G4i5TkAxR20E/qpz4K9AhLVd0GO/LSCrLlGaWT4ouKMT6lQ1q8VJZpNaaj+6C6DK2HK46wwCqEB/9Z7ravOu89XrbqB9rTq49DTXVrhxbLzoGfLUoCxet254xQn15mVfJD5hkxtcv+ckNPBwnbCe5C7zbW2sa7O25kmOOFz6asCgAQbjVJlRLNkS2afWe+JxAY7RTaBv/ACT3+utSfFZefPqLeOm0+nVlp0XY13Zu3SvTMrMdhvLPptdapCyc3zSNTKYeAQWd68GRWdnWsklYysgfW3oU9l51+Ouya6RKd/fJvEaaKxOqg3d2JxvtNf6IIf/43/8j3e/37jLEz0MqjjLupUf2FQBDX6A5EsDvHVGmxS4GXqBp7Vui6l+qFMLH32sB0VhNH/7GcYtMzixEDiq00pBYdSC8wL3lgYMgAMQ3aOiVO1GDhCzBqHgEPH32d1T1ExOIzCMjX2RjUxYVEqXwgLO9v/o0HS8fYmMdSMqXfw6aI2Y3IxeDTSj0MAC43fX1PvSq9d27fsba8YwEnyGhEKiHGtA3KegjFJvlEgJD8VfY9wImgDBlNwArfXuXlftRqfb8BelgDcJ/RrjudeySit33mej+cpwZG9ESa0/g4K2e60EaI6YsuTdZ07i+P1G0hvxbNBGf/7nhGxPwl54WdZqYOeTn/zkOzla+/SnP/2Jv/JX/srbw69XjuKkbk5AFT8Z2nw2zs2/Tgcjg17ofIMM97sqRq2BJcYeSFe+vZfSz2ZtrTv5WiM/LZ+tU4DOxsUA9pTlZuKBT3wrK0InyWCvWVOlaQUnHuC+Vv6nn8qD5LMOF/Bf40lWRbMb1b1Bi/W9dd+al3/q6BVcNvDhf8DCva3pEwgyBs4UA2o9yg+qAZQpVRYbADCf8fj4dy8ZiUb28fJoXj3W4A3gygFoBYWy5v/+3//7OwM/md0YBT867/I5UFreVDmx+28NBEg2VkBi9zUHzsoN2nZt6cj1AaB0f61gXE/GNiaOmM9qLy6dgHR6ZS9ZfRlzerwlgu4FqJNfNkLgYmOejvUZ+t59crVhT43+4Ajh5wv02Br/o135Yvxk/QWMlO+xN2s9yb2YxAGR47+n7A/dYi3JBvvn8913Mkr/733LMdn868Cw0WirPLon3FZ+b4LA2hhbM+3ldfPtX5+rwGBPOCQcwAYJui++ZZQ93KbBEQ7t5raXhAh9C9dUruv0CvgY5+5ZW9ZMI1mo41rHoDimAX6/VyUB29Up4PDgDxhrskIntzXQj5a7Bj/A3GucteLK9gN/34Ahp75Jkga+65AXZxebF0vih9os7+HH8cb0yS05tq0EXTleT/SzZl3Hrjt6rd+uLR2peug6tS3pbuC4Om73FHCaDzC7ZPz4qU9EqFNvXrZJWdvpjm2v2n2LN9YE1nqyNXzC8XWPlk2vL3y/3zajr1KNvqYnm4RZayb3Zlh3z2G1zWVYc40u0ar3N0f2/mNzajFco44YkcBUofusteNrLZVBVILfe3Fo1peo+F5TwgwG5vF/lWmzkI3M1AFkHMwNaDP2grcqnLULviky97mgfq37IBgOwKXX3+x4gWCjWo0GmgugwagxEt3jdiNI+qCcmnl6Y5ZTclCn2lqJiDV7pcSv9GCQRIgIJr7qHPaesfIi3MBeT2Lj5NQBbBToqXUdx1tzMmUwrFczS9egEO6BnK9//evv+EsWe8L5hS984c35Wx8idUAfpWptmoVsFBfPXJn0nnJstqdRuQYBZHBlnnb99t9RvgNI9hy6BxACzIxWP/ADP/CJz33uc2/OsO82vz/4gz94Mz6bU8GqsVyw3/kBMJ0jZdnDt1pi3iqAq6duRueWXN3AAT6po2h9riEv0GwfrmnQqdmSvuqYAlQtx0NX35PplqOWv+mpjW88Ri82w0CHkDNO7PiCYzIeJYvus37spbpZuxp0oKTOW9e8ILhrj+YAtcDC2vhK3+VrY7RG4zuZ2gI6UWc0tV9YtsRcukYNqNUhwp9K9ICH8hQeubyhj9KwWQe0VMlBx3aewCuZuFHx8lMzPA0eF3zXOaljWSfnBqCNRTaQU+uMiAaGAeTS6NodmR5rQbdzwn0ukIpfyk/FGZX5OmLud4NeF1Dvum7XuAE5QVM0wxPkspgEfwjM9ByCm/FsZrP6pLJl3ZopXoAU7Qv4i2OqS9dHt6B0vSvPHZu5oyVMcR2sBq/xEr2LP7seHP06gGhGTtdaPdbAU4PNsvnoMvt78YvgJnpYqzrv1SnFXU8BPeNsRvYmbfTJscDrHVsdbbauQZ4mVS6f145Zx+7fXYM193eBuFZ1wOlwtQOl7lMP4GP0RQ9j76GGPm/QsZjC+tVukzv0pFPQ2ufFidZRcJ1jd+UK3i7uNWZ0ICdP+ztvMx5jaHCQzuTIziahmzL6BrNvJlw1yK6VONg1v//7v/82//0VkGsgZq3VewI1dPXGQcd3r7dzR/DV3WaBlvRE7aMxCJaQwzU8ZV+w8Tgfw3zpXX3Vj/zf5tRew9QoPQZEmBrVHifeCN01NLIklEbL7xAPAHoCl5isRKpRaDajSozQKtsp8GFsnkptKbxGpWoIMfkFoRy060h2Hl2DO+5mRDEhYUN/e8a8qmg79kYeNUC2Bxq1LAOdBQQIpxIzho0zSJh6mMuTY01pKdW2LxLjV5gpec4OAwoYN5v9vjZHzb5MY9l7dGt/a2jOMFeZ73oRS3usrJ0MqP1tdeQ2z0UGOQ9PgQ3rUh65xoAyqCHHsz1MYgp3StO4NyeOQQM5wA9DMjptXou6zUAC8rtuAEvmnFKrI9J2AzZAYOVozRgENQCBS4cb0Lj6q87YfTVg1BKaOhMdX8sIe/8rs0+Ott8WyNBhQGfL27qOAEsBaO9Vfq+OauOk0REygF70xO2z5fH0UPcBkZ3u4+kamV916d0Dj0YMZMH2pUuNdw1x7Yl7GTNerdG/ut36tlSqB16Q230neND+n2h+14pjoDzwHo5intcukAHg4Mk246nqD/N4CmayTTfgVL6+wRBjxzP+b1+uv07SDRhUr+F3v2uwFODnvBRcsa1tpbX+mzHr9bXTN7OGb6eX7alupqeH2dD/64sN3EuZuiqzlps2AHbncMfIXnf/uO0C1oEcmEfxUANtsE23zVRHXh1aGuODy5/3N2xdf2sdNo9W9xSLwAiu7zX7nE3Z/yqP1v/el0+bZWKLjJnuMndy1CBSHdqOAY0FGLYerUBDRzwN/979ibVtDezQTebvGut425WrJgeMpQHzViWQqdlyGKvB3KsfGtwSGEKvBtNgIHSF4fGFz9lRGdPuV3cuBExBnsq/cCmatkqKDcLn9F751tjMs4HXi/s0wZUmOlyLPsNXSxCo1BRYdRCVTH0zqMUd+9zp0tZJBlXQQIXInydwVTvTYAv+Y/v9bteoOlxbYqJBG/O7dhDuxpdo6W8rnGB796//oO/ypEDDx+LUdrBd2EaaRdINohHYnmq8xaAIaux6ChblB5iJfFkofRYEOEmWoFAUwFGNZx3CGmQMal8Q4HI3gt8yBwy5cfW7KugCiZYBYxCKTDOOt8UK4GsQwaZ50fLu1+i6OemuQojJ68jW8bxZsBqFZTPdp3ucnBhLkERgK8x7NZrcUrpdb9wAm9LcHhKifxGt8R5jpuGb6/i8ry1bqXTDWPY/2jVaqiyy4KRKnxCv2Y8p8rgywym5tcvXc2jrXK21dLcArg6x4IUMfYEEJbvrZbMpbQBgmWYVEbtWRBMP4OP1ubGvj3s4w66bk7uM9d5vPHXanoIK1qeyr/THd4IoDIEASw1BgwQNOBWoNrPm3gUp6Fa6k7lmtzr20vfKXg13wX0NrP2E16FrIK4gpkEw421mlwGy3/n3fu/33tGlsmFcDJe+8XKj3jXaNUYCKXVc6eMC1crFfm9tG5iSQSDrgmZACpnjzFTG6a5muTeG8QqdOLlqRqiZ5NJV9LxVOfieHIuy01/Tw+SA0b5OJrrQ6aWTLG2B5M0K2XvvSQTet2KpDmqdmevANZhZ/nmSzTqFrWISBAE+8VHXG190f1TpqvltA6PkB41kQO2/3thu6ewFqlf+ZefITasfbjCKDAhyNivbbLL3gPh043/7b//tXabdgV+7FqCEEZTV+6yBY3hDBrHYC4aYzh5o7vkJzRxWF5GnbZHxyBK8SN9Y42YTe8+LK2R4lG1Wf7nGWhdrcHw43zBJkxf+9nmVoyW8tHsC4HtfO6Jf15ATstNtTNa9OqV2pZljWSvzUG0G63R/Zw/UQwf8ApdU78i0NYCDx7ycvQGH3IaX6vh3S0kDg0ra2aEf+qEfensNA42H9xpO8Rp/ba2nR7udBzYXiN3LVqq9H73xtsoL16k0WB94sjRSeTb9So77aEFbwKzteBveGEYl93Mq2bAmY/CzCjU4eXQRrN+1o93e19Glt1oub83oosnlV7/61U/84R/+4Rv9VAEK1sIyTULpcxhqa/A3/sbfeEf7Bp/sjW5Q7Ls/+H46q3iv26KKQeoD7O/P/MzPvDm2W6MvfvGL7w4T4wCjH3wleNAzVYqF/F2rHyBBQOae9vXXTn1smdrrMbtZo7aNTBVsYMI1SoZDiEAclafoYiNdwCtFrywVmGgJSqPvQKvscKNAFBOGXgPCOUvGSAE+RcEJO0XZyDh6FOhcAF6hQa+CV04E5TpG1x9hbXaBIpyyqrLtPjPGV0SvmZkyWOfPKWfkC0LrPJh7N/J3bxVaWqcpkgLcngyM6fcbCgAtCJ89cy1VRZ+nSFvntzals98MLDi8p4cp4a8+rxKgEuEsz6DpV77ylXcyMUVFUaAB3uTIjw773npb166D+Uzh2/9g7Z8OYBEcUCaOzpyMRrnxMIXUqD4Hafecsv7d3/3ddxFHSuvyUp2a68DdLIQIJ/ByHdTqIbSrjvC7BnDIN1lSPcD4tK86cAAO/qNkm2FtiRi6kfutZeWB3urvu2bliRvY2+fAVmW8DkSdlH0/I7+1AVLb0JlTxRhPBpQ7McB1vpyR0Mit9+bFEQb+apxutqjZissXrrm6qH01k6GPySKg1Gyacjr6z5qhqXH4X9UHgDy5pAMGHHzHiXGdsx5a8v3/bu/Pei3c1rLee8q7MSSv8VVjIig1S+pCioAkGGPExEPO/Sh+Eb+FB55oYjRBUKRa1DVLFoJIPCC8Ce7S7c41Mn8j/3XvZ8y12M6Jkj1a0jP66P3p7Wntbndx3UVrzwdny4DoeINQBa+A3a4H3rYmTk0vgAVKut+tDt5oUwemmRu8fUvKgG30plf9ji0BrthttgFApz+bSTH2tj6qAz0EEjkvMjbuIUPnSQJvtf3GurJJdASdgDbN6NJp+EqQQaaPPKPFvttv9miqOvzuqYyv50iU3nVwzM+cjWev3XdAd7oXL7OBDc5tnLZsTSYm13sUFbs4h8cYej6AMTYo0aBDdTknuq2ZYDRlt28Wv2tBV7bKAg+zh4LAHFzv6f4GhhyKiG6jA57vXtYG8lue3bXmbMAvEjmCOwLKMFX1S2kieykR4JFaV0de26liTdDv8vvKUacjfv3Xf/211JXN2O9mC8YDkxX2Gv8r710bT+FlemY24ZYBSyqsf/uWnduxMXzVV33Vy7ak/XZj3hjsTa38C4o0q9xHEQmc0nuTLXKy/9m49T/+Zk9K42Ybr07DP612gE9bhbF5wfcaWtCfbNGuXyBguG/rst+hx+bhDAH8q5oVz+ln8/vbf/tvv9Bz/c3ppk8379q9L/7iL37Fgutncu58GFicv9QEhTmMfhvv7u0k5W0vWx+ji4rKzcEeXzLVuZNbept8Od+B3NDH1qxZXa8m/z52p7atIAtz3KxfFVnLLBhNi1CHpqlnBr2L1mzHWrMvLSUBmFoygLExKsdY+U73+5SoVTJ1fuoElCb9H22eAgJ1Gv2maXe/ZZwuaGmZEyUhek/gzUXGjVIWUeTc9qAWRrqlDMZaoG8+LT1gODBx6QLs1ACiXw8s0E8dx5Ym1qEjkGs9aIshq0NbMHlb14bSaoCmJSs369vM2Fp5qOswHsOT9lMQ6lY3UMKNpOFBfI2njAVABagK7tvKm+ZVA8OheuLrArC1KTW0nrKV4XYIEqMAZDT4cwML/e46wDcKeX/bLGhlyj787i+ukbSWFHFlvkCqY6yT3oxgndELnOmcRnQBbI7nHUtBY4H/BeYFX82ONbIJDFnfft65CUzNwMiE0c3kF32ajatsoX/3utNb5eOuNZ5vJUqzzow94/90P9l2OtHhRPtOOVWvsb70W4OYl/c5jaPFjPecWnJojxN6OJVTcG6/2f8r43qynQVx5aNmsI1RVUgDfbVj3T8peNiIuP6MgQ5a44DXVhpD6X4DuLVDzbR1nRq05ZTVXhToy9jbD9lKpY7f+rUCrJmCp1Yb1gCQeZe/qz99R99ufpyLll7TMUBzeb46j+3TJz1Zfmsp366pc0QWBHKVG1+nsjS7urVZlOrNGzS7mWvtCRdcfIOHqhvJtnsXY+j34shmOu/a3b/KfWtDq4d9R0cWdzVze7NOzaqy99YejmqgrM5v9Z1XaaDhk8ooHV8d3aDHtVG/9Vu/9WKXZTXhKg7l/k4fDiey1ca6PlVaNjBWnG590A8+ttYyj7tuzhc+mhM0B4sDap50WLO1gvNLKggSqLJxpo6ggGeX9/m4PQEbFhZYQ68mnvAY7GquLSmmb1SYtsEUF+Ns/At0LugvILm5L+sqO8t2t2qsTq0KEYGFJ4dR1p7+/F8/1Cej3Q4D7flDZKBjbTJvn2/ceFRFn2e4k4GtJ1+jY4D76RRZ4gZveiK+QEGDeRfn6ecTc2oJ1lVIja5RRnVeRQs4nP1L4XFWva/jg4kZnLt3sY4SYwksthEcDvMWU2SJgm4JkFIJ97FwIl/NIAGbsmA+Z+iBH/TDmL32OrUcTGXFdd7R1mNZRMEwEWUDrBIIwmmvypgYiGAgm2GvYb5RR8pClIxiUeYl+4MuPUWScmJIGvQoY3v1O4bU7/d+gre/BLRKgDA+Gf77eY2hseKpOgsAKeF0D2UeFFmzDGvNuAH9+IGsrO9F0Pd70dC1loMXVJT3xw/34BrzoTQbYKjjTZl1//QFFviUU7vrV946Y7nX1kEZ3tqUn4y3tbogqPPyOYD5xB937QBvumfGY3QYDcffk++eTHkdZvJDgeNVB2T0hRaU+VqBIb4D9pWUAaHG0mzBxrqTDOlIpfQ1zHizzcm1rWjZX3pGdBRILu2agZHN3PU70MxJvvYDOa3RWm1NW3HS7HD1MYerGa06SmjJ6NYWCDiObpwIp4QDLw0GCV7s7zINdFBLlT3ipyVe+KCAtsZV49COt2TlZFT32tisib197nGd2uoPIJjOqCzUFtQ27T2wJ9N+q26syb4XLNzY9d9yyp6A3IwD+jUYQYfV+VA614B2dVZLfq0/51W/Ti0XqJUBk73Vb4M8sgmCSeNLdqmt8ls9jL/oSXzIhpIhJYn0rnLH0d1eOXRHF+BRMOQ6WHsvM0Rf44EGh9mjvsyZbSbLbK97N7COnpNlp3Zz0tkGNrwOnP6fnFg264nmrTi4c8A39JD7P2WPalvN3fqxC4KnfoeHi2F8z6Y1AGyPtPm3KocTUzkVzFUW20xt8RMnmsOHBxt8JLOcRvLRwLi/1Z+2PrT9+I//+Mv33/7t3/7B137t177oJDxNDhsQuxVVniDRIALbRRbxOVzVgMzuseA2PQpjbCxf//Vf/+LYzrY0a8ix2nVbB09d+MxnPvNSfuvRZd/0Td/06nArde65OvUX2FWBY/qq2IldbeAQj8E3dJPfe5pEG77oftL1uQDDZz/72Rf98D3f8z0va7E121MmOHkNSFp7srH/OY6jCZyjpLp2ie36og+x5mj2q7/6q69ZbXqMPdo6wi6qVffa/XYvdJm9IHujB36yfYF9uIEmv2ml195vLLvP9A/9O3puDOx6A4v02q0w+9ic2oIWTMxZ8TkggOiUA0WNsJw8C0sBKG8jZI1ebYFEqjHcvlcmUWVewNlISxVko6w35d2oczNpiNyoWYENIb/lnwXmzVaWXo2Qa1twWdSWHzXSc58dRZFzrkS0/e0hQpRz975dZ7IGpVHbGuyBPdE/xsRezgE6e0vMmRPctbB2NTqiRTeDslZQ24gwwAaobnzlx8/X1q9DnIA5YKH7gbrnjRLoc+UuPafQOYv2assCKKPyKJ8pwl1jP8fGvRKWr/mar3l1CMifSKwgTjNHlGyzBJSa/bz7DkATFBhPTIENvLWKoQGVKp39Zo7t6OYxKQILG5tHcgAC+25g4FURfci75gS83kBH+aCAqyWJjODuMTBqzzmnCA9ULukIUUj0qwGjsxq84Fw100hfydzhR/uogX98PtrtukV0Af1mku3rUUK4Zgwi7Q3KNAO4/vdb5Y/lf2PweAjG2T7yjdNJyHRk9zs1cEIOWrFAP/flMQRf93Vf9+rsbd5KB82LzRDgwXNbPw53596yV7TbvXa9wOW+F2QDJgrOewpjHSB8NLC2sQ9cbR3nOP/ar/3aqzO2+wzIiEJvnDPiG8e//Jf/8nXdgPKrz9CXnaC/OC5Kp/eXHAGau4YdoM/3+92fTtr4xs8br9JDNJMdueWBLd9rthZd/L4ltmSLY80eoft02+7TfVi7h/uiPVu/6zxaSqDDNWjBwSlgb6NrHWRD//QxOWSbY+9MBWcC0Edb32Vg8O4AGqdWJsmpsqNZ94PuJQgtEGK91s/P/dzPvQLqOQEciskhEPibv/mbn3MGA0eEwyMQNj1WzNVg5vgZn/mtQD870BJvjkKz29XddNlTa1XFaOh54Z7RiXeAcUFcut4BOWxDS92tyb5zcFedcGNrFcfa6A57ltetDRtbJxouRTN7p8ebLZnVnzE3WEbuWjq8a8aLo/v6kjXEP66TBBDQGJ64Tu2eQrDAcpMba7AxHcCR2r3wPtpzOsZzrWyp3Dc7jv7kcX1sftPxk5H18bM/+7Mvdsz2p24zkGha27hhxa3Rj/zIj7ys9bd+67e+0GNyN927PgQkYXr6cr/bOq4v9oEOpVcbQGzWmyw0yEoWBKNq39hRn9PTu340tBd5321cK+XFF+uPLPbkeH4JPbX+5uCr1rCdiW4VDBhf/KW/9JdeHdbR/7u+67te5uhMDTqt1Tv8qgbI4NvSCE5QHdJKjAZfOdbwuevQlaO+/zf3vX7pl37p5R5/7a/9tc/xr1rF9omXH3dhCwRastHswgbG6IlKIGCdPFEgRsoELTDj0oiXDAMwh7AFv7d8pYxqrAxaGbPMfEu5CAngLsqwhhma0eX0GN9TlPM6tZtz50lhNpNJEO/c+nxRQJpT29MYGV6069gvzWosGE/gEQ0ABwZL5Aetm02qs3WjZYQWiDEW1zE8Isx1tERkAe6WWzy1ft7ynRqeVijgRyDaulbZ7/MZvfK5MpIpvO5JYGh2PxFYgASwHBi0p4SxRRdZIxG5ZrdFKgGkrnOBCKMtsDSjKcJP4d2yEMaOfAOUBZECMJOf8cKUPCCt1WE1drKF1+poAGiUuszq+hxtVSKML4H/fb85ATQcKYGiOjHu/1QxUL1nndeeKg12jZKllvbjK5l6zxK+a7b3o799SfstXq9BIavo1yzIjaxreBmoFECiL9AIj3POORZkC1hqtUz542auPKPO7zzaqrLdTDr+cSK4MrTyCp3kvcPblDv1cVyM7a7r4R4ty9r7PtsSGNg6+Q2dVmC8eQApeEqQ5+pScgqMNVtch5eu9JzGnotg68yu4eyzV+tHMMT+y2bRb7mutd1fAeEGNqtv6BJ9Abqute6tTHKoISCFv8jOov+2jNTOt5JA9scYrFWzn51TG9nijI9+zYLRZbuu4E+w2hoMqNORo/H0sgP2NgeVLkAxnXgDxapqPEJuc5yTvLFMPgaA6Q1BHpkNmWNBSHqsz+9mazgyaIePmsFrxqsZdvqqZeB4kny+RXPybI3YmtoiwRbODWyo4qt6tFsLWm7d6orqkAbJyfjux07RvfiiZ2TQp5VzWwnMmQNoHvinGXb0ZNubsW5FxHQa293gqZJRY2gAQZasbU7B+nKvJqLIIzvU/ba73uPbxh/LkI6n0U2ipnaY/Su24kyPBx02JGDLDgnM9HE9+FuAB051MNJ4WQBKVZWEgHmg9X4znavstsH4nstys4L0bflm86VXeqhWG/yxRjePB5SjT+/ufzZpjWM4Ok9/CNRMt9B3k3G211x3b9UoXp3//+9DjLD7feM3fuPLvbaOo/fmYjw9BK7O+u4pSNvvzL3+meAOJxo/rLG99vDzEehD9tyzvdfv6LDPh3Vgmadq20/MqV1r9MZiKw3a+zFN97AV+FBQoryEDKCUZrenC7M1MkFwq4BahscQN9N60+SAozlQKr6nQETJReJ2T4xBcKoMG+FYPy2/Rh8Kv86Y7zQKjYIjbKUHwIaeGHEAAq1FNoGhfUcRywZUKTfq3QAGmjW6aa+A+QHG+373AlQKqq3jdRLMv4C4JdBdm0Z/lkFpVHK8hgfR8C2wY+01oPdGninuXYvuomctsVsj7HPgGn0bWBk9FnHcoQEOOKE0lWEAJhTJ+p0yQmsCjzf2nUz55X1ryxAD4c0IAkyAO6eTU6ZPz30jJ+hij5eMHiAn8IEeU9qLGuLFS9vKA5o2Gt+IcOlq7FPgy2grCfubf/NvvsrD7ilTuD6XZVOaWdDumYju/zS2Bl/qQDbDgOdkum/Um/FCcxk+vEXmRfE5gtuTU+BknPSOYA7Ao9/r1OIJQa71NSMkC2Ec1ZXNDgJDeNf8Cubcr1l1wQ7gpwegVT8Dm6oVGMnZhVsmZ73QnIO0+8g27/rRe32gi+fy4Sm8jY/9L7O3TOyyn+bXUmEngXM6BIUKPGuHyvt1rrq2dcA8g5Qzae322a5t6SgbOoCwlwwvh3xr1QO0gLeuI/3X7Dkdqo/abfSgC+jtjcuYpw8Fq7eey3aj+8Y5/Qa0qqogJwKA14GlRxo4eQJCZJdN2Vo59IuttZajq2d0L+OBdtPbO7Bl322dv+3bvu3lr0PC3KOnxwvKNChm/QX91sazytQ399GDnG1Oo83mqhRRIGp8SZ/sGiX6gukqDTbX/cbJzKrZBv4dHNXKOJUQMrbFIi3bxCO1oeV3znHLQKvn6OaNy31l8tn48ThHQKWPpIIAjIM8rTVHw3xgCLiNw7/mvgLNdR7x2u7jhGVJDvJU7KQCzTzhMhV37uVEYPxCd29tSiN0FyzhTJDxtu2hVHVFJjY+gQPBXn3TYwKr65eemy01J3qMHmaPOc219app5sy4/0phVUUqje2hQWwB/nTt/kqWbFzrH69WD+LP4j4nKbeKAf1Ut9Ft1kdQo3pUAKYnmLfhEes7HlG5s7mOrjDd7s+BG05ZBlvQe6+f/umffsEn3/AN3/BKMxVObKsyebzWLQ//+UOsuO+Wtf/lX/7lF4d29xndNh5VgOyefcm7z/SPKhOVAsVPZI/cbXzDc3CDitLpIQfTTY+pWqLLZXKtx/rcuEZfj4aEI43hE3ukj3K1pqr7jDwRKQpNrTagCLCIFuzFUFdwGFwlSSJF3et3SyyBEVkbwN+CNGXPeW40RuRS/7unfWUyFxR8902sz9bf+2tRChAwdgEYwejeSU3EA/2BSKUKo52IVk8VXDMfv6MwxjxjXteP2SconGZBAeCC0HJ+1vbXpv8x6xiXojN/TlCjYwyFtecsMQSN4k7YF+H77d/+7de9vhxkQrW/sjYbh8NUBp7GO6KZ3c/51Pq549eVYTXbjxbNXFMmDJAIIOGccdhc1+9oP1o7gdCJnQVbu/cMAr7gjIzWUyAzepuLx47s9+t7p1s3+mh8Pbir0Tenz+03Wz/fbYwbg/1egNX6ETyg8McDeB7/2l/i/gC5xwPsngC4Zo2u7NxsUuXXEff7u7FwKNZEamfkx+uiqbvn+H1l3Bvf5qofewuBcxkl/FbnpOC5vFPgKjC3NZPxbDn29tZsLIvW/sIv/MILbVUm/MZv/MbLeu+6Od8i3HTPfjfnFr0ATIZiYxqIHb1mPEVz2+hF+6GdiInGsjTa1nB8trl85Vd+5Qc/8AM/8HKvffajP/qjr3sLBctGn/EVnrFPao7M5jt5FdxoaRiwtP9H/+0PUxaIrhyPOj0b/0qER9fxtkdSGM+u3bi3v2njnhz943/8j1/WX7UFULAx7VqHegxQ4d/9Tvkoh9v/7NZ+D3y0mV95nPPNHuErhn7j2/13X1nUZWT2233XLOJeyvxG++mEzWP8TT9PHqaTNlb2U6aIo+wRZgAnWSYD3eIi42L++zueBn62HhujR1rs/Xhi5bXT7eMrdO84lcXZBkEHtayQnOK3Bqwv3c3B4TMCsQ1km/9kju0YwN/YZULGB6Pf+LnPFd64Jpej+7KsWztPVdh8W2UA0AP9aCrIpWyxVRScfI4yvcrW7N49lGXvN471ORkdvTfm9fWLv/iLrwHWAlVOCZ3bR7fQMTAI4A+X3QxW7T7nwGOHnIki2CJpsPFuXTgjkh7jE0FMmeO1ybsAyHT6aM7B2ecwJ3BMv3L6nA0g0Nbyf3LK6Rw/OleAM9tSZXZAmWZP82V7nNI7GZxc7L1H5cAysnkcY/1bg5tlbtsYBf9a1cRBVFl3nZT17yR3JwjD7HjTmBxeRE8LJtAlqgymo+i/ldVPf21ce33Hd3zHKwbEk3hm91ZxpTINL9OVHH+2mu9hG0UrUsiYpIdsNN3rNGw0ofdgD2u4v5Pjno+yNnlfguIf/IN/8MHP/MzPvDiRk5vpDE+5QLON76d+6qc++Mmf/MmX4Njk8gd/8AdfsqqT3x/+4R9+3Xsr6LOxb0+ywNnWhR+BX6z5n//zf/7lt+OzzWl7rKfLJhcNknDQYeJWE/GFNv/pFz4O/TmaTdb2G0mE3Y8DvwY7jxema0bTjW8BwtHLthjJr12/z3fdsMSu233nlO/am2D62B/pIyooYlRwj4E4XqJr9r1QMs2aAtv6pUBGKCel3dLYlsrsRdAx7V7AnXtwnAlnf89JUqtvsbcQMq2cGVGvMbooYAW9dJDtdf+WldUZFzUBbF4X6EOjDUQAgcoVlOL0cCT0BLTqDNdhX+Ng9PlgjNtoPCGhGJ2MR7FRUD3wac01ggqM8H7TzLG5Ww+Rpx4/LooDzLsPINeyJJFLESalgJRWnQ+OZP/XZDJ7uBHjTejxqYgcesmW4lNOhlKLHkk/5b3fKDUWXLHHA+CirAZOG9EVWd/v5yww9q0IEGEWMJrxtEbWZWMeeOdYimoy9ACS8k/ZGUa7ez2B8RrDAXL71zYu86lx6P5ZPFjaX8d//Q0MAEUzeAIFA9SAygzMmqAJ2gAESu8Yxq2lEk7f0010glcbQOQly9FsL9o4xMreEr/l3DU6L0rtZOkZNmCxJfelo8BGxyvSX7DfUugGQugKRpXsja57eWzIQJnsEZ6g+1rSN2PVEvoeHlfZa6CoGfGeGt4KlxpbAJTM4T3g1+9nhDeGlvBfQ04/36g94ARck7FWTVjPVhV0ffASGrF5LYFrJYiDaDhBgo0DC3WgG2wbX+EdOqIVTBzDyYsqg6fDcRoI9momvXvrgOIenoh2u8/mtfFP5wkMXEdZAImzMzo732DyzSFscLJ4Aq3pizZ2F+Bl29DabwWLm9UdON3v6cmBUZlDVRACWOi6YJrsLjq6RgC4J1QL/jUALSuIr2UyVWwA6rMlSgbXn6DpAhqjNyA6mo//ZxPZt12Lzru3IFCD7px760We2AkVdTeDRQfgO/Jzy3XJhwD4/ueAyVDLfO8FMNPN7JJAcA9vKraoY1bMWh3ie/yCD9jPZmDhPpimmWOVT+i1/m3FUjW3vuyz/Pmf//mX650z8ZQJrw7x3NEL9muzmrUuDjNvzp0AkSwjPUIvmqs5qjowL4EUSQxy0Iy/IIGzN/gD9AR9g8clKUYvmHY8TVfOubRu+qnPUf5qhRAnW0Ub+8/+lc505t17e/cxw02z69Nt0w/rSyJMVnnyN3pvn/CC1ru2e2edR7J7Tues0Xcbr+fvOkSSbCr1lhH9i3/xL76MZw624OL01mim+mf94+PpBNtE6Fk4/FZHSoLsPt6rHGTvjYn9gTU2//Wj4qgVis7OkKRY0GNrOYdYQu0TcWoZs5aVNRqEcSgMJQQtuyvI8mqGZkTYZJXRiCCIMlTRGsv+ApPKyLxantYyOgL5JPR1LPu/MszuAXkhYjLK61NkrkLdDBkBLz2eaIom7RfQkfnpAVIyFiJmDuJwL9mI7lfZdzbWt+xGKU5LgFpiZh8QYG6caG0eomEyKfeAAoAaIOQ8rS8OWvdVdu8L55PBLJBeE/0v+Hqi8f0fP6wVcNapxaucUYZf9pVwU5r7bIKMplPYspzKrWQ6rc/62L2mQKaQ5kTcUzkBJ2V5gjk3kgoAcZ7QSdbQiXoCKCocyI0s3u5vr7Yyb8a3fIYngXNBh83Z/tBmPtG5Ti36lac48TJn5m5P2gCfAy7WZjimdMkC0ITW9E0rP+gG/IS3BYOqQxqIalVAZQkv0AH4plUdo+2MS42H6Ov6mbHZZwMEi4b63om75Vv3q47DLwVBjJq51anVBC9kWATTNoZFaDlU5KG6nE61l4iTT3euz+rzax+MRxk83Ym/uz8c2ATY2Atj873IMqNs7nUw6ayOqaCHTIjmN9vj973OGMsv3rtn+YmdoN8FDegGIF7Jl2AjEMaJxNfsryYwtutsV2kFlPujI4e2geg6ue1XNt369URLwEwGU8CBvrPnamNyIqbyYnrP2jdj2PI0a3SdWnZCqTZbc8vy6as6+OP5BZU833U6RlacnXfAlqDlrht4sy50HBr4nXUByMtjuy+9tiY7ZVzu2yobNl65n72I62fjGf9v3A0g0+/7vSwqPrZ2MqdNQtAl+npyalshxD70+5YX0hd0sSCkTCw5nu6n69hcWXD9y6SSt1aRuecTBmuArPOpXNMrsB1bw3nuI2ckMticHmwkAzy7voydzGWD1uxmg3zoYhy30SloXJwtuEsvdWuAMy/gPA4c+YPlr42wDrves80FQdCxyZnxIR3BFpKB8p6+jLfVfJItMA/+V5aLT62hMUt0yeIXM9IB5t81FUhAz7bqy+GNnXhc/MCR9kzpZU5t8ZK4gOM3Z75GK4Dsv4eL2VqZd/bgz334fvRaNZRKjvHYdBhMZj1ts9h7wXPVGRI28LPAjqdEwInTdYIeG2P3D5Pp3gt9YU5ru/5UZH7qU596TTB4Nu4n4tQytCbTUgiRGllZG743aECSUmqJmTJTC6fMxuIANgQToyjVYAzsT1g/PVyBk6fuv1FofVkoTnEfSi2KupdTSO3H2bgpH07tWpUNwGrxKBBCbS72HzdK5hp9dlO8iFgBLCMngkfhEnCKbeMZIzLmPYXSeGuogBgPSJZ98dyxRu0q6AzVxtlyUfMFygBP2YKNRQbQ/jXl1aJDdRREstHTuPHiDHmP6n9qNQ4yIFuLZrqdotz1JIgUOD6u4wIwdNyALIW8yP7oO77Cy7JrA0Ee99I5r+G/8aYSRKV6mvHuN6L6MuWAypSNYMVKaeZENXpNyY23lP85yKRGAeiVZeCMKIvaPJTwFGhbm4KVlowzHJSj00CVnC4SqWpAaeDG6lmhIoqig/ue0WAgyDWjAcC0CuSCnq4FPrzj33zRAiidXM7AWfONv89WnVLfa9mWjdO+voGfveyj8xgruoL+Gr0djlXA3+w4fpVpAr7Mfe+7n3ryPv4xF3K6+658SnbJ2uy6jWOGXh94k4NbEA9k0FHsCjDlMC3feTQSHu+J7vS3KgUBmP3m05/+9KvzIcIukMYYO1l0kW7z2D1H0/3tgU0FfS2bVkLX6D+635JCziOnylyAZHMsn++e432lqPra92y07KMSOFF0ewcbFK0TwtZzrOkKpXgCDOyOQICsNt2OVnTidAa7qgLHPtqVK+63si2CYaPTAhGCFuNBvM65IwNvbTPx/wDn9qsZX/EEfe8gOWBu47OPfdfsJFZBP/vy6GFl8vudbJByTnp4TRBeObYx2i+oamRgdLZh1y7z4gA/PLZx0R3T/ePl3Yuu86iwjfmf//N//lqRsKofVTn7/ew5Z99e4u67tMYNZMBTk+/d01718rlrBDvYO+W/PddBAIT+ERzmTNj7b686PhtPTc9vDDJLdJG+WzVWm8NRqD2/mdsGq9a2LjKMxgq3cbI3T3KLV1udhk/2fjwgyOYRi3AOHVjHnINF39zWQOtbCRK2QLUlvaOCgHyuca7dq1Uaki0CIGsSE+O7OpMN+vagP8HJ3Xe8tFLzfVc568GE5E4AUKAVnjXOmyk27zqcN8kG7wpitiJUpQE+0DbeBZz+yT/5Jy/vd//xqMdmTUdPt82WbOyTt8k1XoHTZ5v+xt/4G69jsfXA4W4wsr2paD46qxT9nz6cw2iyEueNeXtr//7f//svc3B+h7b/VyWwzO303jKkMB3+vH4Jm2Ktv/mbv/k1iXnL8vGq0nD6xHo3sC7RoJwaXwrifyJOrYxbSxuV84gSOjFwTXklRmF8boR3kyVg9vA0S4MJuxdVBrJAiGPd2nilqDdb21KTlhfoR7YJ4Qk3kAQUERypdoa2GYRmfyjaNYaeALlnI/sUuwOZjF/faOt3Ijeu6cnSHD6PuajyrgKnPCk19/F4CkqLsUFv62NtOdMylftNI4FPmTCtzicFfgGYyBwaN7ji95SFuvy3Ij43kFCjRbApPwCYQHauouiNwGs3ailrJwot4KGPViDgrWamNYBAuRNgXWdTppahFQ1n9B2UwOB03JS48XKkmpW1puhYebD2Hvwu6EAxukczZZUNxooDQa7JxgAch2XjHmCbUbGv0bwACfIPkF4jxdiShQZ8CoSb/WwZZDOfaC57Zi8Lp4Mi33jtnbTfh9zb9+ZwHyefyhbVCQUgZjg9PsgaV87XZoi7B4/810keb5Zv6ky0EoSzIytEvul0YJFDJnBQ4IXW+IX+Ry97tWfEt+ZrDh9c306lpTfJoZPQ68jiMVUqnHQBECdMtvqB/RPpB9CbOWxJWLOO5S02sfzjr8whud/49jIHD70H6uj76lGBXXOyDi11Vz1kLW8Wf3Tdb+/5AQ3iNHC7a5VkA150td9yaj17W7YezThFez/+3W/pXcBI8A3fbh6tDOo+zratgTJZATTOOvrQS+yYgFAfU8cGCf7VdtDPSvVVtNAX8MTGsioTWYluKWlGWzZn18qarQ+nNltrgQS6XhmnOW4NlT2v4X82bqBXdgtfdJ80vVe84LNWCNwMViswrJXySjqrOKBnh+x/wV2fA/lzEhpwUIqPF91nNMS/1XOCPfsNh0Dwuhnv6p+9FySQgWomW+VGs+jsOtmrgz3eUYU4nY//GtiAYdjuYgB0vXim60O+K+OV81ZdsA917mpTVNcJLltfYxF8q63c/J0jIpsNX1jTm9TY2i7Y2zLiVk9wuFum3KChIBiZNEfy0uxss/P4E1+2MkeftVNt9OmCpdv7Oidv812mdN/tTIitKTuxa7s1BI7qtpxbSVCsZI1aVVm89Ad/8AevB3L+rb/1t16CA7v/9In+YJPNb0G+HSRF36GTSkf6tDiHXrb+5JUcGlOz64IXzmLAN/vtHumDNgvibV/t5rAX+/uJOLUI0XKpte67EdUSoazHvtZyHEJjgaW7C5z02axqBacGs8a2+xy0MnEZvwJckNtoHWaiaCgHysM8AbzuK2uETqbGwrs3cFfHYE2q36JWWP0F3DhE+jfHZlIZGlFaSuOWVBagm7fnn1HkBUWMwAXYDBjje/u+87Ae1oJDx7FlpChXe4ma+QH2OrZGYJ9aP69Co8A6tu6tqQPaCLb5NwNS+VGyW6fJGPe5R0a0jLlGqsaMoe7z/Ur73h946W+NHe+LTrbv8rvP0cDjL1QFNNuKF0XfRBSrLCuDVdZexsgJ1x+Aag+sQJbAC2dfnxQsebh6hGy0NfDStewatywT3Xude1enuF7FyMbJUaPz8MiaR0c8ZS66F814J6syLmh2QdB+L0jB2ZHhdD1QCZTggx6kgZZvyVVlD0hulQpa0hP29FgXBlGGw2E8eL4ZdgZZ8BFwqFxXHtCMzgBQyHjXs2CozpSqCt+bA7q2mXP3vcv64hdBXfS1bw9QxPfdl4sn0LKHfJXnWxZPPwBb1qvBqoLh+2oFgKy968lk5ZxjIJPlua5XN8maNqgsawD80UPXdnerT5vD5Io1/IacN5DV8uNm+zlT7CHdX+d1750hQDZUj2n0JfqYB5kG3gdEBXNsq7hJgmYi6WON4y4LbStKAyDVyftMpQWZvHJgveoU3X2G1Z0NXLn/xVUcxG4ZK1jvo6lkClVz2UNevakEskGiBgLw4hxigc/y/8VOfic4W/2l/+o7AQO4SPaezDmMqzj12k0JAnqtvPpW5upi1gYr16xX5Rz/Whf3ss6Vr+pR19Db8H6D9gvALngKo8uWo1sDUvtsMiVRsr/kBrYluz3BmjN9nVl/q/8bRKnMm0OrSrv2pWf/X2M3Ntdv+ZZveeGpZT5l6x1mtvHtPbvEYW7lKH5oJamxluZ0lORSt2X8wYePTdzaLji4LPHlb/PaWsyJXEm0QGO3fNaB91v6Fb3LF3W0yeANoMKLAj8bg1PwN5cFfLbneAf0tRr2E3FqGTog26v7b1qO0+hXibpWY6+cY9/Zo1XHlCAi2t3DWUeOwCpV5OxwBGr0AaWOpQDGwmOqOiQ1ilUExlonvEqjWdRdz1mqE99MrQxtHdNmZtGHU3RPUK7DYmyNuBD6lhdQ/msyATMqE45GJv0Go7YcrVFPBoFDrOzMb72q9Ahp6duMEjBAQRIc18nIAElV4E+tn7fcp+CG0QGwKNprBDtu9Nj/FBBgWR5rmXgP/vJoku6TrcJ2n2ZzHXbG2DaTVBBZ/iBHldUGedxbuZb7Ap4ed6CflpKttRqihkYDNICYRvFaCQLAN2BmzwYZImeAQ8FAW2lQQ3cVf3WN+XQdrAWZaLCLLJQWMi72T5n3DNDGPKdNyajHLBjT+lm2y+MC9kIr+mR/Zzx3cqDMNsBbYI3ufZYc0Ol+PVhkxtJjcJSHVgfSL62m6N5Wuqqy1YiuDFq3gvgdnl0Z9ubmcAq05PDPkZ+BtLacIOtTp+yCler9Onk38CPrQ4ar/1sR4JFdbeSpjsT6ccJ4n1kqEKKCo+c02BtWO4Mn8R9ZwBvVR3QWuprvtb1oX7v6FMQG6oExGX40ls3bvWS793sHQdIl+uc8OO1T6S9neM2hSHQHe9D101Z2PJ797u/+7le7UEfOGM0HGFN9QHY5jfsNu9xDgtBFppM92X1svakuVPq+fnafX/mVX3nN5DrUzxrPUVbhMXndXD3RwByMd79xqJx1VR0hmyLQ7KAWwTdgtMEavIbO6GG+Tnlt8xvBigYRu72JvV+zZUI5KWAteFldQ//imysfWx9rI5tt7CrWPNdV4Nb9rOUNCNmaULlfE4hyiByHwd7Ptc3LYWobvznCcmjRQ0edmUF2inEqt9Vj5NUadA77HF/iF3qCTsBv5BevFjveShp6W3BtbdUKK21dFk6FScuuGxRz3+n2rZ2KH7JQbLPrVeTQJ2S5VWN0Su0Z/YT3+Q5NHjVogn4NfN+Agi0reE7wxSFgs1lka/K+97bOkEW6tGskc9vxwUbw5Gz3aAZr/9Ef/dGLrpsNdML8eBwOaCaY7dn4tkZzxLdmdKRHPwmw3eoK1Z5NprSKBm4jR6qL9j/HeRU9o9kO19o677erHFmmdrpwY7bN8RPbU4sRbwq8DlOdI4LV7xiARuj7uVZmpIjqcPT3LaPgbF2D6juOZCNklF4BCuWIievgPgllnVWGFjjrfeuY3WjtBd4cvTpPBLWgAUMxqAXOFFzLrerENuIv8sV5m9A4qbX7T+7vZdhFrYyldCP8BFV5mwjRPreHAD2uI4sXalwLMNGwzqN9lcb+1Pp5S2A7DtEnZUKMtShs18ZaNaJOfjY/e0zxjj3gxqn8o5mVGzUjT/tuRkNJ29aMkVaSvDFwUMxDZNzYgWfbAeoQAsC9Pxlj7O3FBqJrhNG3YKStASvGhZODbj20pHsuZbPIbOWmVRP0B54tPa/uqpOD1nVkASuAtc5wqzTqyO/V7I5SxvKG0n5R6l0n48DYmuf+Mjg9B2Dfdc9R9WrnvP26zfw1SOC3TxFimSfjM3bgsoebNBNRu7BX+aUPlO81u2cPD1lUWdnz5SPbM+4+0DniN7hoXta1NDUOOoXjjd+NG9Bqv4zvriOHN2CGxwWYetr+/m5NmgUvvxRM47WW+ZKlBnIa8Ku8+548t0/BCetpHA24NUjMsTbm8im6Apwet0ffGW8BvkNU3J+N33f2j3KA6RsYAXhtc67CeL6y3qzDBcPu7dmXe6kCKRZATyXYMhECU3UwjG184vEb5Gnz2in2nPbxOrrj6V23LAzbg1Z9jz9qP9HfGAo4R0vBfX/Ntw6PNdanCgNl1k82FW+Ux9gggQN9wkJX99qnV4x1bas5AeIbD/mqbAu4OlhqdrP401rDK+TI/LZeC1YJPLY0FU/DXhpbRE/SiQ0y4QPbTcyx9rO6CWa9DpYxXGcX/fH+zbb292SqyQ+4xmdoJJhGrzlYdHSZY+L03Z25INClyofMNUC396Ov07o9l5m8C7jMUUN3vxeoqu4rtm0VEjzk+ia+zIkOpJut2Q3eTM9vvErZ18ccssnvzsXoSehO98Wnu7fHKpnL0/5v44LPnXAMDzWo8/u///svWePv+77ve91/61m4T/h07+cYy6zDHMPNPSNJoE5isza1dG0wQcBMIINOgjHw72jHB5Cx30tpfnn0Y39ObTMXjXwRUIJLyTeCiElu6pryRJAKagX/AvwKeMtS+yIsazXmVbSEo/Nq/6KSzb5gtEZuroPpO8wn2lVnvcCzfWs3U0SJEzR9dA8GJdM9qM08dC2rjDFb97JMEbWspFGeKk4gYK9GRTnj5u9FcERROSBdu9Ki69OI0VVifqNPUa4GBp5aP7dmjLux37Xo3AoSmrFqxq/8i2cYuT6uiHPJuJQXu34aWXPdlKTDRMgGxVAH05gYLYGICxb6uka0zpuAA8XsN3e8T636BB3w9H47/aHMjMPbOfU9/vdZne+CvPJLnfTykt8/6QljbKnoW/OsswZE7Xr6EtgtEOSAKn8Ebhk2WUD8VjluVgRvooHWwEr1bPVw5+ygG2st+mvrA6elfbSfNXpO6VTpV73YbASZFzhBFzThOIgSO43YPfVPZvEbp7Z8fNe2jotx9QAX60aG7Z0zZtdUtzQDgjYOJwK6q9cK2PRVkGV9KkuX/rUtQEflU7v6HW/RBzd4XRtS3Xbvd0v9r9xXdl1X0MTh2v1lQzwCB9gj82h152WvZQ8+qa4mSz6v895A7JV5rU6typU+CcE413/3Zq4JJipZnP4eGBY8wltzzp0G2uB296rhbXrjBmzQo/qxgZE6gOS6W8bolB4k1S0rpXllDr+xOd7jm431JijqVBU89/PKBHo0uIqX8Ki99QIUHLlWChSPVf7oXvu/u7WMDmrG3twrozdAXLtQHq4sV9bKz7efylBp3jFcnNu1alDhBur1UXnneDVYB2864GcOmCo/4784Wt+7/5yp8fJ+34DM5MO5BmvFKg2wdc53W06Duk1aXJ/jblG4mKgNRlMKP3mf4zr59aSHS0f8ju/wl3He+3PKZcSbYCL/eOR//dDXWsYTRiiG8Z5et0bj5VU6SYQ5f6QBvP1tFls/V6dbVwfTyfiqyMB7ZH0O7AJ6uwbWYOsbLP3YndpmZsuQF0RaJI6B7yneRtwossvsQEGdXQrQGCxWHbY6jcbnWgthPCV+Gb/RLs5MmbsG/wKhRiILhL0AQTRyPSB0jf6NphUo+OteeynbchJZT1WuU18AQogYfWAXiCw4bj+NzsrYOL1Xn81AdP0YF/PSr2yU0oYq9wZQKJgnR2K/kU2heN37C2kcsxuYqAGpstHKc81gGS+lZByucygCRbeopOg04F+AW6e0/ytR2QEBPeyGzAk2NGvXYFSzgZWjKvPLhw0udO+m7IN+Lu2vcbiguJlxY3Xcve9K/zpA+gOQKkN0AX1kDuVlILR8RkbdF7hRJlonuw79NYDWAQhoxQPdwLkt/zLcSts4uIvKAiDWFrjye2NvmehaT2rFi5ylgld6U3DIM6odXtV9T3vZk7eG9zTjlFW7wLGBqgaTlEmrfDHOGwCyR1D2aa1BxX2HV9iXBgfxJr3awBy+rw7ixK8pk61tuLqpc2p/skquv3q/9tKadA9rr38rwFJeLCBpALi2rQ5sgyN1Lp6CURcn4GVzodsK1OvMAuwFSy1r3HUDvp7reYMgaNqmFLTbLzj3dYzobdVHZAkOgWcAeM4tp4St9XQEGY79pmdjkKV9rtx2lTYb1xyA7/zO73zJXjj1f3y2uU63r7Rwzfo7tMyWBPaq+6z3WdegmIY+QQO62jXlB7zbczzo40tz/G1ta0v01/12+rEODfI98TD9UmdBptNz0F1vH2yDY9bQONH0blMiJ9Z5v5uzUhmC36pDa0fYQPepY3/lqLb+OlzafmvdL73JyE0+0A3dHmIcTzoLlm8Qi2zVwYLvZFH3G4fAzVnaZ8u+smN1aHY/dIIhJtv7bCWpgp/77Wzd1nUBn31O97NXxldb1iyucZrjxaPVBQ1+l35PNp3d3xjnwE7uJ4fDK8uU7rMbFLXW9FftCh4oHuLMNzBmXrWhf+ZDLLDf7sAqQYf6Ff5aW0G00XNbljZ2e5aLVfydnllGt4Fs90DLrkNxbnl7TR+Tp72XmeXUtkL3E3Fq2xrBr7Er0RvtFj0XDWt5Ux3AOk11fgGbGiR9AM8Y5yqLKoUCBQvNICCcORTYVTnVINehpbi717LlGg0E3Eh3o+5V4sZyI0nNMBRAi2SLNCuR6ZHatwSFka7C51CgUcHMzTY3WiQ7XFC672UCKQD9yLoBq2s9LbUGpsGRO/9GvfaaMp0ycTx+jcRTq3MKHDdKxUiUZ/vbrh2acVhuhPRGKLUpwyluYx6ocZ9GM83lrouSlD3+YuDHvqiW27dUT0OXBkfad8d8lWMVah2EAsQ1iu7Kp9bACn7glK4B/s3c1YlEmwvW9H2jrvaAG6/gD+eInDfYgn7Al3Ha71VgZt+g50ozZg3SNQMvyGM8zRhwpt2rYPNGyvW33yhvvIDt8vnGV33bbCsQ3oDFPhcoso7VLZM771t6vHEzgJWTfW8PeHWRaD+wMP6+vAcIoCU+wu8bh4jzvvNMZveorWnWvLx9+esGLIFqJc9kqQC1fN5AnnE1gl/5JvsCRewKZ8o46mhfm1c+eoqSW4Pq9aurSluAtnaUTq89cU3lfd8rm9wYuiWnwQM08WrQatcMBA38kq8+cgQN2gRr9U32uxYNfrNh5JIzbJ3IYoOnDdxPlwOFHC3y1iqe9bnxe4bs+HMOwLd927e9Ovf2GG6+aIQWHIhdt9/u/z6WqttIuqa1G3U2GyhBi/WvNJDto8/w4H4/p7ytNuvayNoW+tm2EgfGKHeEYerE6HP358DKlFlHPLi/smXlr6csas8JqO2jU/CDRyrCiX38lTEqZW5ATCtmNMYmgfD9DSq03SqQqz/cs1iYE0s3Vh+Zr98ZD7oaAywO31tDTu4O+ZlztPXawUkr+d95EZIYxRdrKgr0rUJw/DseWL/r49/+23/7Mu7J8cpllelXV1sLPAl3yjDSofRQ19cao/tdM/3TWdp4ho3a/TafPUJnTSB1vKAqgH40tl1TO9kAP31rn/XG1mfD3wTFj/3Yj73YyWVppy9Um9BvDZJaN9WVHh25E6vX/xxyNGK7yb2nC6gOKa7r1iB7jRs8MCdjoW/J+9bd73btggN/nPbHcmpvFrSOaJ2bGqA6aTdCXudKXxagQszgEXiL0jr/jq1j9Ft/63w2E8jQdLHN5dKgfRf4XEEgWM3GAL0MyJMjW+X1ZBB6D9ffMTUa2ixpadWMSDOSzVKah7/tt2P0OaevYLNgp8CMkmkmheIt2CxYEc27YEy0jiIDOiqUnctt/Zwivxm7Os0ta7kOLfoD5jWa5Y3eGz84RVLU863foH8BOAfEIzPWZKbW6oyXf9YKYAumazj7m2s0S19rxrhb+/LJ5aHK5o081oktz/a7yq1xVeaBlKtXSsPKD30AmJR3r+MskmqtOa43IELm3LPZC2PRPxnAE9dJMmZgo04HPexgMjS4NMczM5JkqfqlQT2BgNKp9KvjemWjrfrU7+797L8h27LhePGuLdlEP7zC0Sz/oanPGqS8evTyeoE++bjOJ7paW+PVrhzUab6twO/qlvJPQV3thT78poDmVmTcudQmdB2trwh+HYynMevjVlKU372MU39PAYbrFLFtXdva6PI6Ge16NzOHF1vRsN8JDroHncNJbWb80sr37NzGy67AO8toOQ9hJYsDdZw71RyCMw5apMv3csjY7sd590ib7llus/6c6wahfM6Wc9jwGxlFD7+/NEfny5No0yCB6xrE39xVgWztWk0E0PeZy7caq4FAwd1mlp5ku8mW6Y7Sr3JnPWEBjpm9kz3RttgW7zdp0mw/vNT2hOmKn++15tGgLnzUDC4erE4oVmdTrd1N0Fh36zUaeM7ugvN7tN4cIydXN4NnrLUdZMha9LBJAaQFgOZ07QAm8+EgPdkcjqN+e0ZO71cMX1/i+godv+Yw2treOfH2E1992LWHgwWoyIZ1Kg7H/6oxiqXxxn/8j//xg2/6pm/64Gu+5ms+B2e1sqbBQ3Ojq7Zm2w/s0YJNNtU+Fo9VJ6NR9XZtQHkezt7fnXRsS4bP0ORJf32spx/fbEyd2oLMlpHUUJYA+vFCXKASURoJsnhO3HrKHha8+a1xVdgrpFdJUJp1pNFAu4q6n3f8nGVCYh72BF2AeI1DgeaTU4v2BXwANMbvvrXSpqCq61fF1XYdgP6lFKtAL6Cp4emprGgj43SDJ51/I8zKHztefSgvqsK7Cknr56K+Bct4rTJQoFlAaayl61MGprxfBdSDZJ4U9eURtDOWGZEZFoCegaqc9rd4wf9oYZ1qOO/1Pru/Bx6uU/sEoNcaRLqyAARcR7HOjfcFNXVErWUDWeXvzqtzEIVtVPrKI74m5zf71FJs0eAa0tKxjkBBFINQ3bn+OIA1IAwOZ7BBndtkCK7ha+DA2JQDdm7GcedMFzQjQja1HpZSAAbI66NORemuvwJH+hXAmH4okCmorS0D0Lqm/U6r/iwgc//amycHuQDB9W3V5bc9BeauPr46+Tq1BaPW8+oj61bQ0vHXgWjlQcFMx9QKnTqs5s82PdHp0saak6fqBmtR23F5/eIFQJETZ34t3W3ZcDM/3Vd7g02Vx1YR7CXgCMcAkNM1A8PKK9cHLLXr0LxnMMxG9KAmTq0tAs0OXWd+n5MFJ60K5DlFuZUqstVKAsnQDRZ2vYDcax/pNXrDeuET+mt9O0mWs7mGrg66a3CrNoN+2/+wQpMwl/cbmEfzSz/j9LqVC1tPgYHKegOkxQy13dUbfuuzBvKfyqSfZOUpEFb7V9zRz2+ZctfuOtjF16sSW9XBeHLPRx0Pyrp17TsuSY+L/QUj9v9+L/M4B+h7vud7XtfBmLRisDrqG6v1bDLtBqFLP/TSV3lVk4QTdN3fVZL89m//9udsJyptu972ZV/eUC2y39JT4+HJ6j34VDDlD//wD18ym3NOn/yh2u1ivX1ep3b3WJWURyyV/9rPtZdPOriYrf+rcNuazBmfLKu6QKPK8yfq1JoAoW1W7inCW5DczIUJXgFtWVWNocUrOG1WiDIq09WwdA9bo2Zr+lCCSOmvYaC1p2g+WvTzlnlQEF2gCl7BBsbQRE5bXtaGuYyr/XKQysBVynUunoIAbzGSPiocPt/Ye7qltvfKSjYfpQY1zjX+BeM1ANaAYqc07FsSEfVM1AlNo2VfiFO7e08p7R7dOH8BkXndSNLljwK+rpvN8x6Tsn6VyLV0qoqtiuxGwo1nEXrgZNFCD3OvEep43lrn0vzes9fUGLjWISlkeA3tnqL6N5rXtb5j8v3N3NZ567gajJBtvOXXxrBmXWQwgSz8Xllxvz6iio6hQwQngJpGXxu9vAbBdXjCOMuDdRLxBv0zg+RAkz5ORHOghMd6AA89oGGtWZvrIG8MdKZ71zkuvxVgXL3BqHaf4f565InSzuqIq+tK09HM42CWBdv/dKjggzHqwziug1Y+JLelufmiXfn7aa9hA0yA03VuCxr83+861vJGx1WaW7eW/F5nuFlzDkFPWC1Q3vdK229GhxwAc0rVO9Y6tX7TDH8BdIPOBZrAZvXP/gLjl+bNTrIdPexsTTDxPj6meqkO69WnzdCN5y4gtNVpbe+X0doedFnB7YNbCWD5zbppo9Ps0voc0BcEbunewKEzCNCilW3mhJ+7NnRfy+mduOrgSHxUnri6ulvJGlTp37XqPTwhQ2fudaRqa3x/nU50euLHYk7jaLDLXxniBqngm8pNS75Hn+lceNT8qj/R/GbS3pqfdSnugAuf7CPd4Xds38Uj2nWO8Sms/6QLi4cFR37v937vg3/2z/7ZC83Gx1sXj9azhtW7giPDPwIEWzPnwez9cNi+n7O2svzx/ZytlSLvRGX7b+twNUB2tzbSGWRXJZQ1ZnPrs+jPAW1dH/QU5JJ93L74PSZn/U++RwNNtQXeuIEvaw0/GUuzxZWJ9fdzP/dzH/zkT/7kC40WGFOy2wC5e7Gn1tT6Chwsyzua79m1ngcPVz/x2NXXdHD5B23hGuMXcP7X//pff/D93//9L9su4BA6YEGSt4LyH8vpx1WCBRcF94h0S30LVitYJUr3Kha0YcA6fgzIjQq0v8+Z7Dmg50axROf6CAF9WoS163yWMa4hrhAADmXMHsePHh17Iz36bc36E0isE9gx3zGuNaNc8FODjmaXDy4w9feCRtcDQqJOU1C7XmSYAaZUOhZ946kKyP5OOTpEx3pxCp9A7G393N4Yioqj8hatLt83G6mVPtbbAVFT0lW2nHoRzq6Tfs2pa9E1d+rdlNNeDpHqXq67hrfdgIe1v3JQg0u27HeRySi40dpv6fbUrt7oer0F+J8OErkGvXzuc/vC7/hK92ZdZQfJ6QWPNXruecffoNWTg/Xk5D/xWJ0OGf/x0Zxa99YY+Qb76Cs66+5lq77vulceyjd4/SnoU35pubDKC8+SLODoPFuqVwdD6f6AvVM0Pau2z0W9vN6/BUmVgf6OzWhGmZPPKX/6zZUX3+unQY+ufwPFtQfXcardrYzfgM8NbPquaywb2aoL/D4d0yBV52ldyb77u65ArvryLacWnTrPK89XHtrs2ep5Ht3qJDPIZtxqpd6vOKbgHuhrFg+PGEMDChvH9L+T3ecIrFxTmfTNgAKwe/bkz/zMz7xmeJTmFtQLhnZfc/eM0zn4BHjfPfv8WJ9LCtwAZdfu2tZeUzltNU7H0GSI+T7xfgF5gyGjf6+78lxZtK4Cj9amlXj4wxhd05L76rva3jqgdar875AttHvShXRn8WqzxoKkbf6/sl281zH3VZq1AqN83z6MZ/hCZm9OEf3jcZA9S6J60Bx7ZoxsOpsx/b+/aCWosmA9fTsH7kk/186yiRfXlp+qP64Tjz/x7FNDZ9szJtOT75/6qZ/64O/8nb/zev8GMy5Oxjd3ayWdtWtUnBjLnOcdHjd98C3f8i2v53u0AmbrY2zOzvFYIfIoGDyHfHPdo8PmkHvc1KXZxSbk2zUXV3FW8aaDzja2zW38sqCcE5Bddw9D+9id2jUMV0B/gZqFIkCdaPuqsDwBOAqvjIMBb9bsOhoX7F5gRYnWYRABE/3sbxttuga0Brtgo+NzX3+vI/Tk1FKi7fsq0UYxS9sLNIz9ArhLuzqiriut9du+OKFXObQvzhoaO+Cj2egq487l8tUFGTVmXa97yuBTf/dzGXtKqALde16n4zokXdPSXBRORNJhCBSFKJXTNS+wuvzn+zZRQwoNcOthUHdsnw/or13QQXYK1vd36ynSRg4KUt5yyDrPjrF/31rD9oUfW9VRHfVk/PB4I7qda50QYIehKMCrbnraJ+P/0rayR04vf5a3OuYaja6TMtFbNq3JVlinC6BbAdMgSun35Iw8gZcLeq/ji6boNedTIKb6o7+vHqjjhM+bcXMQFd1++ev+X0BYnrytWenR0UExDWa23cBNndMbLHrSNQUTdT4bfGymovxSZ9CYn+bYoB0n5AZWObx1ci4t71z0fed1x/X55P0pQPYE0i/d+1xRTi1+c7hbq8nKy7XBV3e4f8G+395AvGydYNFA764bWJ+zKvst+3Sdno3zq7/6q18O4uHYKAWWIeZQG9/VeVdeVUAI1NEH6FIH/QYiLjhvuxV1FxtV1tauDTfW+9s6tfQ6eSgebUXFtXnlJX9vVvluV6le7zpfx7By0XnUid04rXHHAluXpk9BIfz7VAVSrFva+r9jrrxdXFVb3++MYX9lIsfHc27nmLjnHCQY5i39iRb6b3ZfgGDv178DjSYjOwhzmVMOZPmqPNG5devPDe4Ui/tNsXnx+hP+KJ/SmbNhW+M5nBvrgqy2KV25rCxcLMEvaWLQdft8j8JZ/6P1l33Zl73qA/O91Tq1I+WPjW20XaXI9MqSTlvTNYE2vPAW5m2f7l1+62Gf63O8swDFaLXX7k+PlSc+MafWZHoQEAK13KGM9FYJ1b3mSTEiyAVFd8GfjLV+b+s9gZsKkn10SuGuoqsRe3KkOscaRkqWMlLu1PIAwLHgT3luFZXfAW91VNANnS7dayAvTZ6MiYy4DEpLVaqQgThlgpj8Bj0cAb82Z0uUb4Cje7GfgN6ayGodoyrDRrTQp8rpCdzftj44nIA1Q9U9Nm/xGJreceqbQ7+ySCfHdR+yPVGeFyySWd74KLDX8vkpOUpvrwGnypF5XIflSbmXz60JuuLJPubBXjTrUtp0TS9flvcuoO/YO47S+a0o85NT2TW0h6zgcM196ZkeqkIvTDHbc2YdgNYe4X+jnS1Ra7tg2foUQF1wcoMd+Gey24yIZn+Oxy7gm/Ekua2RrT5rMOOCqGa53bNj7ry6duPPjXW8v4i/srXrYBScVhbLj/vd5r6+VkL12c9+9qV/zzq2F/nqg2tjOserHy8ALM1sgVhr9gffCN5dYMCxcCbABc/l19LmOvWVr7vudTIqd91TenWY+bXklI4poCuNav+t0d1eYB5tpTma3EbP3yDtdXa1rYfSRWMWgLC3q48NKl93rcvHDUDRR2x1bVL1xa7bvWb3du7BsiFzUlfyt3JKDi270CoJvPHd3/3dL/y8fWjbX7j/4YvKigNsfMa5uHipdrKAt6WXcF+dvM7tqfX60rKY8erDylS3bPVk99pxvI9vL/7q+Gqr6hjUUa0dbHC7J+WiWasYarOKeYqLK4cO6MPDkivWDG07fvSrk3ed2unzZbtKa+P12+7pLJ66WObaz/KLINH4cHI1Xf2pT33q9VCxfW9veB3i9kHf1EegKxvgx3uzsdbiO77jO15kZ4dG7e8ylLbp0K9o+uTIWWeYs871mmRI7UDx7ROvd+/s3u+xXHss0Q//8A9/8KM/+qMvpbXf8A3f8Dm/pzO6jaf3LH9W7vabYcjtYV7p8U6HHk2+9mu/9vWkZMEo9vAGZ/DHxr5s92zuHFo8MR21tR1P9Rnx5KTr2jW0/mxE57omU7z7ffrTn/7gX/2rf/XBD/3QD72UTu+7W97/VJHwsWZqq+TLkCZQL7tAqHtzPirSVRDX9zVWQNUt50G4G2ktEPP/faQD4q8fQFRZHmNRR/Ap0tI694JODFWG5Ty3PKdlFxqlSkgJZR3glvMUXNzo2lUsjVa1/Ln3qFH1co8aiDpCXb/r+FMgu8bzu6yjx6w0S15DYz6EvABE9lMk3vdVbg6NeWo1zGhlX4koViOKrsPjn6+51nML9xrAVh4NLAq23JN2L5i+Di3lJGBCLjbuHX8/MDcFuGjh/p8Su2W2Be+d43Wgy0c12puTMYtKXmfkOq6lfz/3viBRa8QReKzsVS7XmrUoXxp/D25Dk5Ze9jmxnrGpBG3ruWsc+kZWF7CwL62P1WC4CsLwb0FL6S/g0fW4wbw6tnjZoxg8W646y7Xji4F5JUa719YR/XoyeZ2PZm8BL7xZo9Zxt/R9r/VNn8xAe3TBAjH4Z/12by+eZlP020xyg327RuR5azLHdveQnSo/1QmrPXpyaK89qkPtM3ZG5Lx8Xj1t60Udx9qU6pfasJvlqW3B6/Z6oxFd0z1d9HplBvBtQOrau9HXWrvG2HqwW+W3snt1WPn42qtWDHQ+9P3VHbfJmMy2t19gTeCSXPSajrXvG9gq7Z4cR7Z6azleHBDfftrxx5yBgdI1jvbNrqyxR/vNDsr5+Z//+Q9+5Ed+5NVR4ZQ3EKUkt1l9/FSHSiln8Rt8Zy1kups5oQufHBf672lrUfmlNLsBrDoWbwW2nmxxadDr0dLaSRrg2T7Kr/3QzxyF0drzhXuKeHnctfi/1TDkv/LFeW9wVSlm5yrorhKlbYf8TOfNuem4+mklvpYAAJm8SURBVPtmCrc2Hgt3175yyMlTxr9DkKZPp7e/7uu+7kVfb37731yfgpFvyWedINU1HhPHKWu1BByzMU+WVrmw3y2A6fdotVa+WGMfOsYGCNlp1zYJo+z/tjq17r0x/uAP/uCLQ74y4Z/92Z99TVz0sCe0aR91yNnmvWynEUD4u3/3777cxzNxv+TDRAje4r94/I6seiuK1s8+3/7V8eD6mgO+fdJb541/fe/Vx5tVF5pDKxyujZz93X12z81jY9hpzdOBxgx3WYsGaj+R59Q+OUc15reMw4RaN9/oeoFmjdMFb151fO99rtF8a9yIhFF8v4axMJAF6v1rlPuq06nda9q6j42Cu7RtP7fPj1qPGuEnoFA6P73qbFYxXgNfY/QUYWqfaxx8YE+NPUesNL881Kh4Hesbzeo4jPEGRp74Wuv6NXjAGBQUcryeMkYNDvgNp+nuNS2obcSwPP0EHK4z04yA63tK55TKPS2yYKBr3HtdkN/P0LYR6h4FX155C3xe2b+RwKcxXL5+ckDunNCVkhTRxOfdY7fvnMC4JnvfQzS6tpwt0Vwva8hJKai7QZJL2ys/aKaPp0yS73vYD94tXTjzAw890fYa54Lhp3VqxozsX8cc7TmcDqdinPvcz0VwHRTX+3TdS8sa19oV416/K4vb/z159gmsmm9p2TW5vFrebPBNfzKAT3zeda4TU7q2sRH3ujvGCzDWmvm5AQn6tvzhPaflSRc3I9zvgZH7m8rik2P7Fs9fe9Rxc3LR9S0buu8G5GRAG9gWsGFfntp1pqqjes2Vw+pS4x6oW5Z2creAy/idU9mA7Vu2b/8PdMqETadvDi3t67q0jycHnZysVQ6sJfqzzR+Frdo4tMVQNxjz1t7PNXOpHDwFQi7v3P/f0llNWMBvxlP+L5bpdcba4H8d2+vUmXuDQhezsD0NgsAJ+Hjj2GcqcdrG4wveqD7oOQ6lq7669pc3yseqB/aak8MpIkNr0+dXH5V3b5993+/YJVu08AVs7j3sOL53bw4ah/+pyhENLtayVj0hmx2yxk2m3Ob70lJJMGd0srprZvfMra3BxdrV/a9a0rObOcervusp0/+fPM+W/ia/+93WroeMwbT7zh7arcH0kt+OpvtuY7FlqQkra1f8f/2avRpk2+frZwGKPm6NfDXTftfvY3NqCXhBIkYrk1zACoBcb/sKe5VS+7cgNcwY6AKCAutrfAp8lXf1oCmvAlWKXPScAewhMU+K4KMcVAumBNnClca91j1L96fTWwGNzvlGUgqiruKXLW72uOAbIxewWIuOf5/LvFZxm4/xiJDvmilKEd0+pgdPXRoTGPevk9nM0VqzkaVtWz+v4TD2Kgg8CBDVIaixI9CU0MAMnlmmdMrFXFtqfJ0PmbKW/125FBSok6of5aeL5i0St7EsurlT8owTILLWvUcBo6g82apy5Cxb4/7O2twghHYBaoNdNbz6rc5QVtdrLyisriEnAIpMqwN+XOdgs9Fm89x6reRPlg9vkxsAqY5rS5T33fhd2Rkeu3J8Hdtmw/E3mr9VMibQpASXo1qae0zGZG9z2XVOarZ2+LpVNtcpohtr1G7wSQVCT2Zdpgr/yM7u+42jDsbVVc0CosFT4KI2YQ7A5tsDnDZ21SGVtQuur6N1nbV+LvO/dR7tN885IJfP77oVLDUYVttUnUDP00+7V9ejuqtr1oob+4w79tLBuJoN9V0PIek4ShsycnnTOlVHVTdUV5SX6jw0E1nn+ynQ7Z4yLexnndo6jV3/2lZjwCMckIuH6KjyH2A42V/J5jIfu2Ylgyv/b2DN/eokbYw9DXWyMod4j+BYCfIyvXvGrUxHdXDpq7/qJLqugSDXlLZsDL1WfnzCO4JWTh7Xd6u9GrBwjfmrqqrzUae1DlMdzq65/vvqXDjptQvVHR3fk75Z4xDs+60lubh6qXx97VBl8uK8rhsHn468YH/9r6RzVVnf9V3f9cIjd38v3dExXl3G7rA3sxHL2g037DW+m04dH26NVUDMXtbZ52S5n3t0bYqZWlI9W9QTuOFKsgQbz3YsSLRxTK76pI3JRefdMVS2u75zPPkI9sVufT0f9lb76c+BR6Ut+u4QOHK0/cBbnzm5cxT7G/zofZM9G8PmLsO8NdjWg2VU+V3Fg1snfcNqk0mnOONxFVPOuNl3oyte9izolVBvnf3/hM3Wivn3vcqDvZyVoYpsmfW9auvWVMrSsZ+YU6u0UeS5AIuR8HkNxAU4a2WsOyHfr09RBY5Ka/YZwQs6Cs5vtMzn3Styo972SYiMUOCAYu9VEHUN8nW+O7cCF0Dt9tPmPgWcnRM6mp9+rkEryMF43S/bDel9EDqw3shf9x/2pcxh95W1Kj9Y2yp6wktw93KiccGHtvFMCPEDgyA6jFacSqWKb52k1pIqTnLXuvNrpJbDK+p2ebI8JnK695vnHMz9zqOHzLOOhPJXsmVOdQ7Lo0o4Wn6JzqPLTrbjvP3iL/7ia58cDgrnBi6eWoNDHaM1fSuo06y6Zj5kghxW1i6ArON6nVrj6xjohruHbK+twxT2eKpBjSneGasBx3/xL/7FS3nXPp/B/L7v+76XvhxuMLrqb3tRZrhWprW9IjOuM74ABVlzUiED9pRpaUaskeBGwPuejsA/i+LKiJb/PZpjvLjxbu4LdPTxWsaLjpVjeqH7j4DqAgYnytonvu9G7xndXT/Hb3wpIEI3dJ88XXMj9sZUR3vNAWx7Ofl5fW9+Hqkw+RtYY79uyXx1Z0vfSme8RD/NQBsfevzmb/7mK82Ns1tGrKs+6d86muhZZ7NBlO7Hot+7Zt7Xsb3Z+wZazNWacEQAFXpJCXIj6vvtZMn/fSTVdZ7xsnmXHk8BvP3vGfW+M5c639eGTl53/dZicjiZaGloAw3oUf1UB9M6vFWNgu+V/NnP6yT66d3df7w4vdCqkQZyi0vqfFjfyc0P/MAPfPCP/tE/elmH9aeskX261WMXZ10sA8eVLrBCZe1mLwVO2wRyZZXcp2eZKI/Ha+yuDCQeQosGFS5f3NLNVhgUG3h8HvslCNDgVmWz2BBvtTyV/O27OSraBfz4+jrm7tV5u6ctcL2/LUXTX+XJtdmk9bNS15WmbwyzP+OVORQe0dIxVXf2GcWjU9cQbywzuDHL7NkHPFs2vlbdVHkQzHjCEqWvdWZX/IWLPApSdUIfQWfMMqJzdH/hF37hNVA6G9ODK8lI/24cCwp4PBN82b3Vl/fYuOLcNQ5qg7BsBLu8IDmaw8zK2unpW7mx79fH5rPAReXzP3+YSR8dmkThaOK50bGVXObIJs4WLlMrA7z/x1OqXWbHi3Mra60Y4T/sb8uX9/udI0AX1H5tfPSCDO5bWPJjydQyapixhqgRrzpfBKeOWZVpAW2Ft5OpY3YdWdffCEwdiqf3NZ69Vx2GWwrbrKo+buSufbRMqrQqyMB4BWmacTSqZv6UprFdZdm/jVQC0ABODywo7a5R6Ria+eZYXQejUZaOwf0pKPT3/QRnv+FoK1Mu4KxjQFlyztGor88nGP2umdjyWp3JOv9ddzTre+tEuSlBs6eaY4Pudf4LbBj+9VW+vICl67DW8mjvOXVd91uK/5b8dGyyyxekdz0rm+WtJ3AF8N8x3Pd1invtle/7u1aUVF9wShuk0dci1Dtsa89tG43GjzOSc8oGFjxSoAGGObMD0NvrIxrrETXGjN7uc7NDHftHBQlKv/u/qPXlUfdlqOmDGTSl1H1ubMdyqycqG5dn62Dt/Yzt5HQ0cSKkTE55GHgWgCHra+S9GSlOr3m3OmL3BDxkUJWtcbAB3QKoBhrryFYH9vCRPuMcL+3vaNp1MbfS0NzqhDSA4bfVp7UT/u/fqwvwJ91Rm1MnpYeKmGPt7+23wLXjr52ps3ExQB3Qftb5N8BwAyu1cdbqOrUOCBvPDdw/BdRK67doW7v45FxVPwqozp6N3we2xwvjwQHSObS1FeWpnlx6qz3wmoofFRcO7GkQurTufa6deQqUP9G8Or2/775/jXPkXIGLIYpRvL8BPePoepZ3yo/4t7pYE/TgMDS4yaFttuti2d7rrpdKnn3P2ULLW2VT+taOXr6+c7p8OR3WQLwmKD1HdnrVGozvBP5blVXnqdtr6F3zukH8yj069hFy9l2aZ+fb4HQ/953PGmjYd5uP6rbadrjKGPGioIDP7GG3pt336/0+nyOHjq36uwHGynyDuw3GPelqjqSgNjvmPnhXJU3lDN9ujPYxq4iYrfuDP/iD132w+3+6btctq149yVbSFetjQYAdbOX63X96it2cDm2Zd6sq7O3ePQQ09mrAd/Rc30rDPUKtWB8vWmPY5Qm/fGxO7VU8/f86QBXUpvd9p4+3ALrsUwX6ybDqhyKpYroAtSUbNbwcxyqYOrXGzwktKGj0uQbD77pPtEZizRwrbJ1XHSjCq29C3H6tw5NT21LqMafozN4/AdbS64l+jSo32idCLXNlbpyHCcuEcAIoGngzg32O1cYrE1ig2VK67lcVFbzlaF+oU9uypOuotUy2yqx0whfXGVxjLGb8ZJRbxtr5lwdEsHsyKcEvmC3wwK9ds10nSEBJtXx7v++pmQxW5/RWtqLOa2XHeK9hv1Hmp7m30qJrUd1QA9KovmvRvw5twTclyhFpafJ+Pwf1N37jN172Ku1QjCn6vZa9dWIv3gA4dyrjMjKL+o7Px78zFKO51iwFo1w9dgHQWzzcz+9vNu/uV7mgdXMUVBkdRHll7kXBS7OC6zsG3+Nlh2qgy+g7eixC3ag+uTOPXU9PDMhUN9g2sv8dtkGvmadMrewY2Wlm1W852R6RsWvuqeeV66sH6RnlXXQfgChTXD1yA2IAag/IoIPQY9cYy9PpnO2/Nqay1edj9pyL6krvC0L12wz0DfjuOgEDOpSdcep9510+Ke9epxat3bcOLN1Zu3/nvja5m8O3wBQaXOehMtfg9XWoqtOvM9w+VH8s+zGHU7Z2h/gsS7HMarP2dWrp1VYn+G7NwXSTz5UhjtdXGbK+9dPM6Q2Ukl/2urSoniiG6Zp33eiyW5a5sQtckzVr1uDAdXCLwTr+4rjyuL7uONFu3wt62xc6ut2qqFuZVXl/CuKQDSW49Ag8xHFC09qny0/m2GxfAxq1q/urZPQGEtB32dRdO/u0DBtnfo6LPYy7TiUkh1cJbeWBU8NOOuhHlZJAIUeF4/JUFVcn1P9dW/tpOdKVjWUON/5WmFgnTjVdRY8KMOw3DkGy7sXcyqT3+51GfvU+/fmUbfY7Oq4OY/WSJmjlMWLwVU/R3j3IuD7QY9fDEhIk0y0Lsv/u7/7uCy6xzWylyduWsC0wtVcqC+iT8e1+92M/9mMvfa+aZfywce1/j5hkqx1KBwMWJ3SffINGez/ecHYGHuRUG9fspcDJ5qgE/RNxamtkqpSUIDZbo9UAteTJdwxl/2coMU8NPwCuzxupfSplfp1sjrfv2JRxcZw8lJiwE/QtQCNXDF8dGP2u1XEtKPPy3VrLIS/NC26qxArgmxXuWKr8gS4PfC+d+pzU1vEzpPq/++s4yH3mKhrvWjX4ojUiSB5pAERvLPbsAvv63bhljRh7wPXyjAZMoT3BaOlNWxWVyJdMTkECZUlQG+V1TUFb+Xr3ALQXtSfQfY5slSFDy6GlYDXBGIq06wyc1tGSOQCaPEcOSGnk8jqxl6cqP43YVu4LpBq0elqvp+9ulJyB2v8tx+5BWJU9/HsdcTR0/e7XkzrRc/w152v3mJLfKYM7qc8D4CnlreUyJkrtZ2A2vl23SKkym103Z9j86JWOH6C4Ed6CvALg0tl31q7BjTnma0pByS/HkHOweS+iLdqrwkCkFShomVx1T4Nb+P0Czcn/+v72b//21yxCTxHdeB2koYQYgNxnQNZADhkqv6+f0Xr3ATaBd+XI7BWedS3+uPasVSK1MTcogZb+NhDa1sChNaN7HU5C75IBwTprzy7cAENliBxVV+uTvhUkwo+jHxDb8jfj8Qi2AaGtXU/s3TUeKTH9Dug7fORmD28Qxt+CR9fS586iuMH1tvu/LNIAq9LzyefGSof09Ffy0fUpwPX9vSfbtHlPhnaf/Z1jMfmZI/v3/t7fe7VDHAQ8V13V6pFLC9VVa9///d//sk9395nTPodGcMG46sTSC2xjn/O5hkeAeDqmpZgCu/hiNq26ZQ1PzbHCO5yFOtR12vGR04W1VhvVrt0gDsxWnEYvj9Z7rd97iFBttmAg56NbRqy5bBu7tPFOJqZnBS/2P/5Cp/J/kyv4iQ68W0UacLDusy03W1udPx6bMzM92UOGPOatQTfl2WwCGqBlH6m0OcH8kyHPBN/73QsNN86exFtHuLh796eL9lsZUgcYwpYLKNfhbuUNHrcWo419sPhERRV5x3NNTOAxdgzfli7XSeUb3O1R5Ufrz873PdqomFJF1CCy9e4BWPvd5F5F2HTMT//0T39OwHd4ZdejD/09ve2JB3v/Uz/1Uy99zCme3t7f9b1rh1+2rnOanTA9Huh2oQYmqjfILr6HHwQS6AJrPB5UxbjPN1/O/Sd6UFSNSCN8jbDWkDaaXMcNgzTr0lJdwuszDi1GafaFsrvRa+NplI9haA23+vI+Tsbi1Ni1xI2yu84+2hTgGUej26Vr901cQ2+MFaquwZPzZH76RzdAkSDtJSOBhpQbZ4QT0Hl0PhiRIvYb+wZEoxwIpUxiBl9UphEgRqjZFw5tSykbeLhGoIda7H6MU53CtgIU86oCQ2PKqYqp/1P+1yFrRQBjCyApfdz/ACIgg89uGZP19b687zEznCSAcH1SiHfPVZXnU6uzWMB4ndcrW82iXKf19lNZKu3c98rHW1ncOlmyFQUvN3NdUAEkeASOcq2BUc9xIysel9Nn8fl85V94dkZhBrUBhOqAjr8BOnzX6/r/pV/7Ehyii2eEFiWdUz0D5jfAW3VMDQ+ws/cDat0jU3qXDyo79j9avzrt3RtFt+Ljfa58eLpCJJzDKFvbw+usn5JfjqqoL5oAaQ7fYUs4iWhcR6KBkCsX6Nh1bNC1GbPrCNe5I8c976HyTo7YQv2jecFUbQW60Ct+VxBvjPQ5nT06CSr03rI6ghb3fp2P/dwCELc1g2AuBevVHcZeh+ba0ycnl62bDAsS9rTPycZ1Mm4gkawUA9QxZ2edFDonk8Ow320f5DIn0ydsPtnC/wXGqnrqgOyzyaGSdtke+/UHRhfQceJ3bRGe7JjLv51/8ZbrergS3Sq4/JSp1adHJALadIIgCBzVUtPq0zvWqz+v7Nd+tpTbfOgAwbrKonHX3laveV9aqUYxXgE6/dGZ6NoglvlWTjm1eKOJnM57fDs9efVR7ewNIPWcirUG5vFlcaV+6Fjf0cEcy/12NkYGuXqGHHW7Td/f4BRHWIk9vcSxW2CK097ATee13zunpLoJtmV/8BOdcG1y8UcxzVOrz9Hr0J1PVPsi6Cq4KxhzM7rKiNGGHV3QfU7oXuOFv/zhgYjjja3HdI6nH5BhB0Khy5xVe30bQF3btcPpW6/dQzAfXq/uM39ySEeoriL71r2+nEDpDepYh7do/t/s1FbAgaALWCtMZYRrAApaRWwsep1ayoSh8xIdaYbmgvsK+FWQNYaNyinrKmMqaaXoLzBxnyqqguu3nNrroFwHqoJyAX4/q1NSQ08pAioUpWefERBRXWtRpixg6XPZAGYKwfM7GXblBjK11mpCspc9RsoOnIrmOnRinIBZvHUzsiI7vuveMXPX91MrKLqOR3mWEm6UikNrzgW4DQT1vetEzpRKFWjLujcbdTOextWypdHc2FraWRDBGNSgVM6vkShPX7pd/qxirwxW6V/QWf1y5bRjKgCpQby/8brX34CDezY7s8+UxKM/WRH1HD3xtbVEz33ecqyBywbM8FbHfed0Ky4a6Grg7AnAGwd6b9wzbnutPLH0vjwgat0ocnVhM/jX6Sov6q/OSXlE9J5jwZDVKZXlmTEdv3pg+/6KastqGiNHgZ5xyMlaM+EAGRslkHZ1OtqQ8ZaU4WW/ud+jUR25gsYL1gvYW1HUdS/45Qzo98mpLeD3qqzol+3Y94IJ+L4BuGbrdp2MYfUTXcPe0dE9Hb3yXAeh8nGdrDoUpX8zaKXzpd3GqCySzR2PsYVPp5padzx9ndraB7w32g0ojq8B593XacVA2nVq8aH5di85Wu/v5GF/Zb3omI11mcLdd2u3skPZX+vbMddpqUOJrs2W1xbTkZNhDkyTEJd+nPI66/rkGKNf5a86tfrjVuPBh91C4sUO0jccGzphrSeiC1JLcjQQcEvW6ZutCx4hI+avn1shVnpXL+nTXFRqdXuA9eOwtV1dQg8Vy/Q3xte1f+rPuNgl9oy9UJ5KPp628VRem22vvm2ypfbcb8brs2OCoe27es8YJ3fVCZNNNql8VP3h9+XD8t3VLcUOd37mz5ZWBpxE3MBVG9puDnM4ZVathcfzwI/r9yu+4iteAtfD0xzbzcGz52H48u6+21rNtu5et7LKVjl+A36unUefBpfwgXttfOa4+/EZGrwTDLll3p+YU3sdQoKFoATXBAvuMWv7KBjC3NehaL0/Ypl8T65DXGN5SwHezykejsP+38LKZl5hrLGvAjbfRkVrGJo98ln7BSiBI01Ecf1ScgwtIFhF5N7rU+SD06mset85hUzkpes6usqirASBQd3/9sCKFLu3MVIA9uPNwPqujjHA2ZK9Gi80AHA5FwzIBTz2p9bo4ht03Ht7AT6qNVJUEN9TErsBvlnPtSfgax2sM2fTfRZx2/WcJCf2jQ+V7jF+lGqVqPntNXr1GWlVjo20FUAW7LQMGa16XY0IPdAM4gXu5fEbzHlysJpJZlTwvD6rS55aZakOQrMvBRIcpf3GgS6yg06FrmFaHzK1ynKrIznAi5z2YJLdiyPgUR7NBBlbg3OlrevQqycuNwBgLBvXQMAP/dAPvRi7laP9w3/4D1++nxw/PXLhOtPVa5WHvq/RuZHqygE59gihfT4dMaDO6dq46BqnMjNw4+e9RldlruTbvfSxddyLA7A1UVFCFqwb8FP93b23PdDjOo23+Rx97t5GsoSfa/Rbcuy3tTPW1nVPVUP6q27ghHr0SEsD8Q5HarzPlioDNC/XKGHz7EJ79BttZ7PpYTJEPsz9ZsYaCCifF1A24CzAenXJ1QdszBxAYF7wY+Ob09nnbpbH9X+zuWvmOIC50v3RZE5teWy0kTVRbi9rgs92rfVib63p3qs+sD51uvb73WOO7Bzb3X8gdSB3vNvg396z+QA2HqMPqpPYFXqLbeHA0G9XFrpXcOO21kA1p9hfwRG6p/rFd7J8+NxaCJ4U88AEslDsteoPmJVu3vvxhgqF9aEMdPcAwumHrd3WYjqKDpV5owfpFnxQOleercH6GR+xTfh+7/soOMHDXXub8bGdTzoKBhHo0W/1V6vG8MD+J8do1kC54AF5ryzqyz5ejnvvWV23NdpLRQgZWcayOLB0qtyWf3wmsLz+1w8+sgUMbmyQsEGs8p0Gy+07p77TS7vf7tP9suOj7X8f5lvJ7z7bGsyutXye3enjHo2nCZX1v9Ls/f4vfvgYnrXdZ48Psn5OjxZ43ximV3o44uwq3lfhqDJkumQVZ4L5DarSC3QR3rN2G6eEmMztxtZkRytDnvymT9SptUCYUVld92B24QlgSx1vVKVArBFfi0yRua6ZIOMg7Fr7bNTP/43i3QyK33JsqiA4JgX+N3J/IzZvZZsrJAWT2r0/4cQ4T5kUCmNKFw1bEsPAN4JYcDSHF1gn5B6fY34DlBRhM0v7/a4FgJqxYEC7T0NZpL0ZaKevtVtSRAibYajy5jwznPhxvxexuu1Ghew9BggYzpbhUFJ4rOPpd3WIuy/UWDef0UxEDD2clOtgB0ZC3/aBttwY4ChomqJygANDZlxPNLBm5bm2gku0sGbX4UW3q0NKn/bZ3z3J9c22Nrp8/9YZ4zDcwJw5jtensFu2Xj1RmqEzGWJwOtYGW9yvpT+7fuvRft9yXPs/nmbIr77zP92y/ze+gbrxU9eyAaAb7X6iV2lBB3kvIts1QPeCVDIwHh1frtl/OP4HTGVFRiN7b4D4ybD7NINY/YhOTlYGUqxJQVmDHvile3wZbzQpf5f2T0Gb6rF77c3G9/s6K80aNMh0M1jXbt7MgZffozUw5oCRBRgGYMhBD/kBPjySbKeCb0zAjpIzgYX9FdW3RtUFDRKUNtWzDbrV7qMhXqlueWoNyii3LFZR0UN+yfbkphnh8p/fyGjIvCh11v8cnzm869uZEpzgycHkc9sUBB52Dad2v9+1SvLJWunDGZ9TtgPtFsz5iZ/4iZdr56xvLLVRzYq2VPYeWlj5rS6QgWZnq4ers9Cc00Ff7P7oq3Ut8JH1atKgmKd8gG7dH6pqBk9xMgaoZbl6YKNgmdJe54Gs7X9yuXk51Xq6y7zoKLTqIymvTuy+X9lime06+WS6MkB+b/kxPXCDvjcgR3+rDOP4tLKwVXndytIsqGCg5MNwBpnwEvxoAsi2BVWa9S1Gz32+/hqkwJu7f5MlWyt9lcdqr6xv9XSrkXqYYjPb1q20v3xOlxSXcsLZHLh2fSxRtKDT6DuZZ8PoTEGnbq2pz2U7A9+LLRMo+aMPadu1gy/tK2+iAS/iu+kQeqWnDzucqpVHtXPlN5l8e2LX9+xK/btis9KcDoSdnHfwiTi1JlGDDpQ3O0tQK8QY5kad69S6vvfgDPpts4FPQPgyXO/T/9caxbGIzaDWaaRYLAZnk8AYn3sUUNzXk1Ku411wy2jf+dcBMTb0p9SVWoiUc1qbacSgBbON1nJmlfQRUCXCftMyqgppS3GaScWsHAOKzdoXCPt8v2uZcx2MzgHd8Fbn+FbEp5/LdDhUoUrtvj6Kv8rvjEgDGRSwDOF4aoq8QHRrtb9OuiNXMigMUrN+NZwy4V4XwFdO6khVjqp42gpmngB9P2uf1+m/a1fadgxtbzm2fn+VbK83hvL81sa+IOCc41pZafaGIcG/nX+dC5/jK0EO6/HW3MzjBgj72ROQf3JOPWKBPKLTzaZWH7XsdI3x9Hmd2uq864SV3/Bhn1mLHnRGwYktCQ76If8MtvsATehKj1mnVjiUZh1j9aHMj3uRRfOoDen6XD1hfreV//t916E2szR9kp8bDG4QuLamYA1onZ6bE+RgozlgfR7jfSSUPVD7za5374EhQUdO7D63p6sAlk5s9UPnfulU2/AUDEPnJ91R+SjWaDUI2lQuACmHZuEFe7SBV/aRQ0VPA7W7frRyD4ck7rM5oMvg7rdzPAFQWVnzsedM0E05r+xdH1W1tuuWsV2f6AcAX360Lrd6xavB+eIh9Hjix/I1Jxpgbclxx9IgWoMvxWld4/I1fmug1/p2S1CDibvH+JdjaHuUgPL65NTut7sOTnBysGxiD0ttgIVegrlqSxt4p5cFCOvU3gAGBxePtKHN3Wt6AxPXHpbv4Y/uP26lAtzGLhqTgA6nRGUjfMgG7T77nLNffCbTLQHRrQz2666/rZOTl2dL8Gkz+mzAdfKffI06arXlVx9f/fTkR9CtN2gnED09K2hj7JxPa4dXYAa6Wv834Kz9b3FOyZE1mc6ROeWw2r6jn/G0pyHs1YpUQUByefVE7RUe83t8rfyYLN73gik9IO9JZ32se2oxFSXl4dDAnmxhHT5gqAbtqe9rzFqTDWAifp0mC08AyqC+8x6h1jB+HXQKg5IhFHXGqmR6+IX51XltlLzvG/EBEO94/d/7XZqZS4Wi+0zrWLecTknrdWTQD8BbyaKT7XbtmF4kbo1Cq2OxqH0Vob43NtnfOuWc8J4gxyA107H3fTwGYcFjXdeC+msU3+I/zZw8ZPo6KwVo5nDHpNXxaqYVr21uU2yL1I9mmx/F7uAApyhuLHNegSmPKnGQkXnvt42U9dTaj3L0uk43uOB6NK3iKm3ecmb7f3myfI5fmhW5Y7xK03cXUNVBbjb0KfBUQyIzg6e6Z7rl5hwuh6w1KNDINzBqbgP+QFOd2jo/5tKAWWmBBgIebQ2WlA7KfwbANGvQ9Wl1RQNOnAD0qJO/7/DWDfKQBwGAzd/BPKLju8/4v6eq4g2/l9VRykX3u5fr9961SiyBpGaua5zRpzaqv3NC7VpPXy/NKwN4qka/MtT73mAMXuy88MYNIPRza8gZY2PajBuYBmL2mgO0crjpnDlb69chW1uzjtX2kTlk++3uNUfYvixADR8CNA5fK6i0vuzwBUp0QWXj4oQ6u2h25aI0h1fQuoAUDxRbbP0b7G7F07Uz5jJ5ACZH1z0STLUM2i1Lu+z4Pvvrf/2vv/DraC2Dy37XkQH69sgwWfTpfgB19oGeG3gev3qc0MoTdy9OHVqpHAG6G1zioHiywa3uoC/QtA19qsPYrGIpJcgNiFUPFg/0u5s4aIZnLzZTtcbGu3svc80BW6XB+J1uGM22BqPj1snBivtty393jaCOTDldydZ4WgYnx1aH/Z5uMaby9U2CVD4EUEazZfy2rpfHYb0GJaojbpKgTrTf9z5kaX2sX84kJ17yQ/bxyqJxz+bJrvaMF3pp146mPc+l/Ca7L1MrC78MIhoJJOMbco3PGlRoVtoY8Fx/U/3ShFJ1kHEKbPXUZXwgWDV98M3f/M0vunLvRzc6uYdPri863pzqTxnXaAHz/5/xH5wyDUM2MLbPJwfsLn01edhn8OKwPJ4orZrkq3/Ff0A3eGf9rN+f//mffw1s4ddb7Wu7I79AIOUTcWoxMMHYywE3mKgR2L7vPjmL4/qC5IKDlgF2P+N+K0plTwqiUwycUc43xdrFbxSkAMkYW7ZWwMZhVPfOGSOwGKlKgvEQyb2Gt4LTViVeAIqB6oRTBj1wpWAYOORYtqSkjkxBmtIcJ6eOQR2V3ohes936ZWhEnSjbKp+WjhEkkcCCaLQQ7WsEtzSskingEFmsw9nWfurINfvECMk4mWOvv47z/a6yYK0n0AMmQPsAj3ErXxptZmgBkN2XwXbanfuuD3N1vwYdrHPHqxVIPDmS/r/XVX4voL88dYFp++w1IpI1zNehvk5331v3liChQ50m85fV9ixZ3z1VN3QvIh4p6FUlUVC+NVTC0z2cdVTdr8CxtL1rBKyVX3v9+ht/KXseCNNEccsDdAqdae81+jSIVAetL/OiqwG+8aoD4egg144uo9PuZ6x4qFmBXdtHfRlr56/CQqNTtFY7VL83K20/dTNtglCc5Y5fwFQQds26X+fytgukLggFfMv3Dao2yy2T2HVo0HS8JxuIzio96BePHOPMsQG7LzvDEdnjY/AEh4ud8uiPOonmVcCJT1qV1UBy6ec+DZ70mspjWwNq1ty+v8o6GgsW1kFtABkol/1Q+gp8WpNds+9l/na9PWr2mu3vnNR/+k//6Qff+q3f+jK+rc2uM1c6f58PeM7ptf5z0AaQ98IH9L5AFlsiEKdUUZCjz2Rm02XbGhgrr9Ntu8fWeg5g22TQflv6kiOFp6/OubLY/60Tp7jYyjjcb7TYoVyzhRtXf7P7b+8x+rRUfvPbms3R2BzZ0mLD/U6GVJDAaeFsAj0BJ5ANzXjQsjaRg1OHd60l7nuNB+zffdInXZ/i7atLakdlZ9HFGAQ47Q+ni1vNs+s9xmv3Voljvt2WZqtJHyNk7HSM0+vZcbasZ9rUNlWPNEBQHd25F5/XzsLm1se49pkDCtt6j81/1/ZsAfu4F4CYLDq9ef/vMTzdksOnobO6ZnMQJXZqrz3Hfa8/yhksu26BD4/Bc8L7+u3BeIKQu49n9PKL6P8+bxqm4uNcvd3vbKebbdm+3+GPVghVntFy329OPdTr4sWPtfz4ErsOKAPKIBkw5u/+JeDrClmN1K2RB84RTlQEMer81pHEAP5HcAZwhB+zWdh7VHgNMOHd76Xx7RuiABq5ueC+WdwqsqdovvvXUPuN+3K0KCNzFGGrIi4oJ8gMYPu9Y67TaT0KQnbfZtFF7wtk0I9yvaBYebR1uXxWAIRGlw/rEF0n64nObU+flwb9/8lhM446HPdvgwuANdpPYVFu6FaeVn5p78Z+4xAj0b1m/eoAlp/KV153fL5/4sc2huKpXbp3jZ6c2qdx3TWtLD79rvO49C4PPq2jvjm27auZxvZXHl5rkIeO4Bz2UTTd/1waN/BQ2pb/fWeN6dEn57fra39e6c5QNxJ6eb7ydise2l8BZtep5e+tGLi8o4zMvK6RbEaec3lLkwqUC+Ku0y5QYv3Npf01+LRmL74Dcp6CY9XP7fOj9gPhxwaGG3QqoK88oMUNcOK7rkEDbaOxUzO7R1AFz34n4KIfNlQw0vUO1jE+NELjBhLZPllONK5daEagctr/n/RC+fUtvXJt+K5XItiAOV3efgRnlbUOuHKgBkxltDmBa5wA+1wXtHS4Fmd2301/W38HGK0pZzavXWvdbAMyxvUH9O9zgVDzco1H53G28EWrnIpR6uh7j18a8NxYN8eeNLvWQKJ7WWPYpXKEN/D81X+adbqBD1hGxnqBBI91oSvx14D2rl+gftkyBxKxv/hDQIYuw2N4XAlp9Zpg1g3gN+CIdtVDdcTq6JF1h9+Nh7bG94C08npxY2WuiSXXFiM8YZrKuyxiZZcMjdajuUCge17su/GgtwAce4r+6ItPmwWvc6pf/IZvitnuPK8eeAqS3WBpr7uZWmvdQA/cu89lHAXCnDDcU4v38iQA9rhYY7SgX7vvf/2MHwQc/o8jDwJwaCxIDcs0sLK5bf30S071gTfXj33MTdB5v3vUx7KO+59jvT7Hw3CtQAHatfy42Odjd2oraBWMGiLefxmvCuHu0wIk25rWrlKsQDqhi3CIiEzB2AMjar3GgatxxYBbsEXmGBeZFOPEXGVuSo/x6IO4MctbTm33jXVs7lF6XIWAzjUMIsKYoFniGglRFhF39C/Y730IQg0bh399mcfoIBqKNwgxQ1FwtdZSurXuJ6iDLRptjMB3wWCj9+ZQENyo7lut39UBroExphuUKDAu0G/k318Kqw6t9+O7vUYDm/qVUiqLXQmHAxP225YXN5LO2FXOrtz2+67NzS5dZ8ln12G+zi969fqC1Pbn/jXu/QvEVRYL/svLgl8NqjUQU564Gcb99mYcGNs+UoqhafCggabyzdZLAOICvbfo6n0DQXiya3jBT9cKfTYmp7H2sSUAT8d0HYfK7r1HZY4uoMfMb/dzenQB5p2z05AbVDDfNfrOITx9tVnzJ0C9ptTK3AvgvG+VkflzWOjR7p8zzqfAC/tyW3UGANffXee48lRHF+0byGxAWYaMnV0ZmEj4DsvxecsJBzxksZTOl8dk9fq8wsoUx1hJbDPjTwD7yaklj08B1uvM9rvyXhuZLdCWCQUI+8gt8uz+TusfgFQuqPJBpZcM2/ofXZxGumdWf+M3fuPLb/cc2el2p63KmNIvPpcprX0c1lGSaCuLcSoN3tiMX8Bz8zZGp+DbK7r/W7KMH/BE9av1K26RgdyBN5VbNC9f3+SCCoBro/y21TT9rjJfPtlr85qDvVPeHTJXZ/Pyxz5bxlOfnqUJH6rga6WIMeGZPopwfzkd/hfUKua6urP2sLgD3+690tX9xWtPzVxv/93aVX3ZIOVduwZ7+2i7BtD1Pf29A+bsF9cPXXudWgd17fcwjiCPvc/GdgOJ1Z0OTmpFCrnFH+x1bWn1PwzeZA+5LG4vpik/btzd877rBQHInr5lrTd/NIaXt76CMuwifeIJAYJHKgymg1SA/dcPg5BddzTqYzPR1TV9rI+MOv5nB2Sc0b++SQ8Go+vpc8GfBQDHI5vXxjMemKxuTHWau6eWDHxiTu2NXNxoiNIOCqbRBuUCJthIEMesDhtm6R62Rl0Yy127ck1gp/snGlmuIbTISoaa5q4ANQvgux5aMmYipGOKPu7nljlUoBsJvVnSu3gUosXdb8owQMCN0FDgwIqj0Dm2fkOBAHUypqVXlUCzAH2sjb1m+27Co2ykUXDrYo73wdh4qXNGd0qJw4quzfr0yPDuKSO8u+Y+L+7JqaUQlJxZl4Kdm9Wpk4dm1qtgrcagAaDx7a6zn0dpDsPZEkxKUB91aAvaXgQ8tO+BGZXbRjB9frMVbU/OWP9vBLR9VX889Y0+7b9OWp2Gjp+x6zyu/JKfAu8rl3jyOpb00IwJpX2d62YA6Se6hIw0c1IA08AS+l7DWYPYwE9p27/l+xmTgWkg+2kNruNkjg6N0DfadI3tsTRmAcE+R1OGqMDQ+qGTvVqTgZ6lsL4Y1zkEDVb4fW2K7+7aNzDXIFd5gsMNAO5/zt5kbo9BWHCJ7AFR1+nnFN59zB2X8V6Qefm9a9pAHl3Z7TRe5F703u833gGgBjebdeKs7qXv2oRrH9Ftfc2+mH+3kJRnGqxutqXyVH3QYKJ2A1G1VXft29focE+Q56ziV62gqjp19Fx2D+8PxAsowD5oPEdvIHGByPH/9rCt7HWBhd/8zd98caYG/pUTOr/BY2J6EnuDnpMPeqj8s98a9/qbTdn9ti5r413ztcexz99uFVfpVl1ePW7eMNFtm0erw/q7NcE+NrYVAXRedbxX90biBw7I9Nvo6wkODZqQbTjA83337O7prP0/+pD5OpWcLLSG8xq4wc8N9MCM5A/fthS/8mne5swWTI/Yf2l/7g0M0y+VI7yLtq04wjv4oTbGoXx1Wu/2wZsZ3Thtg9rvh8tbatptJcOHHuVma4r7wKjKnPEGWsGsZB+t6PYb6Ia1bXmh161LkxT0kzk2uMVhvOXHG/9o9eu//uufg3ebwDKWvWbDJt+TffMffZyELjut3Nf31sjas4dkQsDrP/2n//Q5B/c1c4wvBVsEYGpXe+7Q/m7d5utwPn13n4GLD2B/Or/bDSZj+GHrr2x/Dj7neXQQMJWwvDT/2JzaOlFtjfK37A7xfNfIW6N9N/J6o+RP2QeOsuwDYdkCjFgiSzWMVSwOFbAZnvKVGaOsKrRVkKJKdaL6vg+aLwhvMMDeuYL/J5oXYBHCRuf1XeBJOdhMj3kaYbkgiGG/4/F/nUUK7TpDdU4LWluuUiDkHgVIjTKhE6G4EWX3UiaBD7on4jpUn6/VAJbnm2GiAKsQ0bZZeHMu/xn7Bd0twenjMVyrr5ZkNFp67/GUtSrNaxAL/NtP+eAtJ1O7Rrb3alQPvdrudXWyqiC1OoPo/DTfOu7WsgGh8rZ+mp1s4MLaXDroH2gQ1CJPPT22QbrOCf889ftRUcq7pleHCPY0yHVb9Ubpf2XsSReLrMrA1XnnKDUj1/Xo+Ok4a1Mn6s6Rw9XyzKdorut7dkH1Fke4fHvliK53kEVPX79ycgMNHIg6tb1P+eZWVnQc+BN97nhrb61TK6K8rC/buWxWz13omu1lq44qpALCBlhvcKl0bnDXeK2xfblPdO9nT/SoY/uk/56aeZY/0Azo77zWyDOwXt27F9CKH3eP2dk5s3N+VX0JIOza8dKcLpVkdI5gsOov23g40w1oKBVfvwOX9KAT8fe5sxbWr+CSg8GUCXJG2c273QAeuOtBri5ftnkkHtxBf+KlWznVIDSer3zXFlUfWCcOvz2FeA3P0/cCVGjrkU27xxwCDgT+rE1G55aXG195vfLNSb6HtF2d4H0DZPYn9ukTvnuL361dbZ1+6eMGmW6QyFpM1zUhpVX+O/7Lm/gSJrqP+qmDiIdUWQrI0mOCDNce165UP9W/uPxV3qZL1prd9rel7pX5NuuqD/zoBG62w3wXmODE4cOWCffsFk31QB1vgcQ5x37zv4S/FlS6ARM0odtbNbr79XC6q2f7Wr+y7IJU5NN2CHzWU77XnOnAMd847dt1mjy614Z9YuXHdRRqJDF4a6kvKKrQ1JFtn3tRJDWKiF4HgrM24anQbJFFnC8IIDwIaEN8HVkKTLbFGDEZJSe6aVHLoGuNiJlzAUYNxltOV+fbBWZQ6gjW4d+LQ7t5MMprBUEFtJRegUSdt2aaKQWKrIaopYhrjZwzRjVWzcw1i9aMf2mmj86HwuAMN7hSmn8hrdFO87EGWnnX637fCP91AJtpqsMARKHD3cdDmaGlz13j865LnYrSoHN64r8GKLTy8gWUt3Wt3wKi9/onp9aa3LE9RaTLG2hfWj1VOZiLe9QRa/lm9Zm+LnhxXR1bGRj3KH/hE7/XvlBFfh2+rlHnDBg4BOuu5ZX5pxK0u6ZrnFoBGBm6OrYNMDQL3HHczN+dH50L3Mi6NTBRm1IAvNZAWp3aGu+269QqS7wg4SmI5/cciL0+3/pdG9X/jQ19umbu2xJGdC8gu+Pd3Od4cWbWqluB6b0aHDY+a9rgYTNh1T+Vwzq1BZHFEXduxn2d2tq/fvcUCHr6roC4NK7jImO0DAp7XTmtvXNgCwd19O12JGXfwLvSYBUKrp8dE7i5WVPzNYb17RnveBX+4Mzu+wUwOM0OYSlfdOsAmRXgKN+U9xpUf0p2DLgqZ6+D7DeVycsjd/2vPahs77cOUlTOeANWslkclWIZzpe5woUqpThWMmi7d51a+qx8Uf3TKjPOx3XE2tgYNINrexpuMdNTq74VeLjBLnjtyhHHak4tjP2WU1tsVQzjYKLaXBhd4KYVhR7f4yTj9SW407Juc6uOKwaqPbw2VFCrySk87rurR2pPSp+2/S+rWtsjKDD6yTbKRio3bjKmJc77Tjkx5w/v6MuZBgua9gybL/pwfj6/dBDEs/bjKz5Xq34qo35XLMcxvdhSZpattdZs/OY2HbRrlE+TO4cT8qkEo97yjz62g6JefhhmwlwbgIXEiAAOAhGYS6ACl25IL/BqueA+9yDtlQApHfG8PYrzPo4AoyoLE23w8HilIz01FWjYX8/KWlP2CWxRhgwHJm92pCBbNJGj/dSAilvCU2VSpu2+h2aF9n2jY7fPKuE6UD2teb9zqps1oCTMVSm209K6xu3btTWczQK7Ft2BAKUXaNistfIMdKvRLQ98IQ1NC76ucvA/R3PvqyDxOt5v9hnfFLQzjC2RFrmksC4AZ+D6DLzyyc1a1om7DnEdlxto0PcF1U9OVXm9kb1maN9y2vob/9fpQcu1u8+m61JnscYIjzUieh1iVRYNxGhAzM0ociboLgBon0+vNOBjzTi5xnsjz+7NiBvrBWvmXKdH21gGaPcszOnJAWftZvPeciTLc81kyTRNzgURZWZqExo4KXgqgOZk7m+zh1336xBNt/uf3m2Qr/Ns2RT6C3p2LW/WE+2VXgkOsE+9do3sjjYr6ZpN6qmn5fPOvXoRzRpEXaszAOBdedHa770vPurzldmjBnb6WLjK+y2xI1cN4NFJ+sfXeJ48oOmT43uDdX5TUHZB9VMgrn2ofKrDXSeXDhYMtnWnpayyuuRNad/ed28lXQO8rRxz+5gBVqcDTzbtk/PIqvHyHrNkHrJlMiStHMGf+LJ7ZVfy3MeI0UE9uMb5DWyoffatlGuA62Zx8OS1ARyxOY14oc6mdamTUl1dm3h1cPWUxMb0nDMprHUBMX5phrn7qemujdkTHlqNxgGzL/kG64rpaj85zG85kZdu1ckbF5yqzNM9b6C3MnJxs4CVv9bg2htbJjy1ApaU9ClGfrIb46UmPpyT4GA6ByR1r3Kx0n7neahwdx1l6+mcBltJypulr7mWJuZcnNCEXbOMxS3s1c3U4imNXyL76LAocmarGdxKnxVzo4/Emd9uDJNnWezSZO0P//APXzHySpvhck4lmnCod99dZ1/92v5fvwswNNNubvw82Wk2D/0FX3af6RyVIQJ7DonCg3D75E222ppv7oLmn4hTSylhYBEyEyXwBnU31tcIFbQ16tJN9wUzhJNCMh6R1JYFYabtI9t7grmGwT3SALPXAcS8BcTGfB0Kc9BHBcs+m0bz0O2WdTRy9RSdvdlVALCRT84lo+23jDADrJTB+ujPfABAh0AZV6NKDHmjkO7nZD5G4AYwgGFlBmiPJ5qR9xdIKljpWtRB0aq0aoCe2pOz6vel+73G+7tmNSr6KcjBjwx3I2IthcOflDZamEuBjXvebHaVdo1paVEw3bXoHC5IrlNbXq3jUWPhnk/ObNfN+wLQK4sFxgWp6HLXGv0FSW5GUB+3ZJJeqexeHrI+HB36ppF676/TVR4qbTrf6kHf9VV+qyPvHhuLk0DvuIHxOrLW/wn0M4wcEkEbpYw3yNB++0gtvON+dXAb7KtT3MCETK15Tp/IbrVKoxH4Vi6Yj/EbK5krz6ue8KpT6/ft230Z6ILPK3d4szJZgHb53jjxZR2Lm8GpzPn+8kjXtnNupZQ1N1at2anrXFZu79wvHwORnWfvV73S35Ppq08u2F5r8PPJzhfws6OV5ye63nk1SORZi2sb90oOt6d1f9cfJ5LeXRtmoV+UMLNr9is/gewGjexTnWPgmcG2UV2dIUDTAE7PkfD3Bh2saZ8j+VZwkaNSftg9rUUP+bmPzqkeqD0rr063bY7OC0FvQXhzq1w24KsqijzYxwmHCrDtN0/bUioLtY+Xlzm2gh3dNnYDApWjvR8f9XFRV+c/8X6DV2hJ71Xeza3YDB36iMXql+orv8FLxlC9tO+WNOLcDHfDQqWl8QmQbQ0895bzi+bFMeuzTyYoVodBW9nguwbh0LUZ+X3evev07WT7NuNhe+YQws5rPUSpVZZrZGR0FrjAG877kakdjQQbN6Z9x8ldH//fD238fjubj7bTBX08n/uhK3+rznlLmFUq1X8qRsAHxobmDpQVwPD4M1Uc5FSQnF5ig+GTpwDOx5apraF6cgZFDjagAm2CWDCHUZrVten+OiEF5Qx6o+icihGwJyPvOvtuAZZdY+/JWo8ox9gF6hUUyoSirnFjZBrB7wb8OgAF0ASuykVrVqkCWQOs733XKFqdsTJOHcDOxVhci+H8poByDF5F2VKyHvJS5cnI2R8iwyOzVafBvAmZMu9G7/e+VQClb51K63qdsi/Eqa3yrlG4v32KBlbxWkNOFb5u8KTgoFUCBS14kRyUTzvHGl/fdx2Mt3x29+9eQ/sEFp/oUPBwMy4f9fu7bn7XdS14fnIuCz5L+0ZDryNQx6tO7Q2qXHm7v23ZbSP87uPvdTa065y+RZf72XVQ9NU1aRlkf//0AgDN62nNWr7HeDXTd0FondfO3TXNTpb/CpYBGHRsWb33HrtSvVuwcx0/Y2iW/NK5GXh2ylpXt19QxbGuQa4NeXLintbziS8qx73/E+i79+s9Lh3u2tXxA3qubunaVP+V/7yv/DZg1OCb76/8XvxwdcRbcoJf6d7S6lYK+Lzlpddxr64trjFn2VRrt//n0C4DMrsn+wCkmjcHkS5e9sSYHcpCh8lw3y1SymVl1xq47rr15ZEaT4E/dq98jQ6urdy34QlyYG0A1erk6ho6qFuhnugNKHfb2MUOtXu1TdULtXWcOYEAj41soPnax76/OKJ8+/R787k6ojKqZPdmYJ/wzHVq0btVTaWptdEffXdPyq/uuPOS4Cg+Kp/A4As8bC5zlCYL1tzviiW9t44yk+Zzx1H+7no0MFPbjseuLWpwyzyqDzltt+EvGVEYuTrB2GubKiOCSq1oaKUkO0Rvec1hlXD6r+H1nqw+Z5ddpzPIifNb6KrqPWdl7DOlzTKulR86yVMCGrTqtgY4eNc56Rqdq8u7Ljfo87E6tRwcNfYMQUGdZzBVidWBqiFBlEZFu3/nln5SAAXnoqqINmJtkSc4K0XeiXG+4xgh+u658dpTod8aWEYcoStQmLYA2/+e1eSh3jfjUGHs+wLuNRnVPhaCYGJqC49GNxLUrAqGp6wxIvqX0YxN1PkJNFtDZdy7/4SmSqFR3913ETvHkytrcbJgo3Vosb4IEeNuHvYdrH8BFQdl1IBrbwnIdTC6LvilfdWp0S96V1lSdHiBknIirEBLMz7WuOWbwIfHLNTQXrB5T6Wug2VclFCNXwG3kpILfi+dzL0ZhCcwWlDy5CRdsP20TtdgX8WHbu2vQI1hAabormbu6pjot9slgCcBuIJe9xWZrHOsX5UsdZjd2xrW8N416Nwvveo0NADiOXabZzOTbXXA6WB6vU69e5GJtcnv5JDOBMqrd8vL5cGulVKzW6nDDqBr6SYgic8ZblFyxr7gzT07B2vfLRn0CHBXHemE58oQ/YXnnhzk9amfKyPsWfn+yo++ODJdt/7O/fv7twIUWoME+ttv6Ni1BiwLYvd/ddjNpFRvdi4NVBvfBc11Rm72mu4zPpm3W67GBq5EtfqwZcU9A+OtIMENtFX3AaVOqiXr++wzn/nM55SMwyGysf1s9xzNd9CUeSzrotTfgU/21AmWkrtWVQHg7EfXi71WessWdU67X9cMtqsusuaXt8iBAHj1GT3XQDuZ8v3NMLdPGVTbkhzGVV1PtvBm1xVduz1u13pO577f++33G2ZZWefViXXS8Wz12+XBysXFJQ1cX5u7e3vSBjq+JcfFo9bJSbJNALiffZE3MGFvdmnZjDo+IH836F/5oBvH63SMUlrlubWXxi/psTYaKA/vgafk8drY8kyzpLVLTRB43zUrDuG3fPazn33dA6rBxu69a5dQk03Vpz3uv/Ebv/E596uj12AaG7Tv9/l01/DveH3vt0bLgHddf/d3f/dzgrmlCby4MXnk0u7h0Uq2F26cHGs02BrvNyoZum1EtYXfO3Gf7rHdcffd2G3P5GvAVbATmVpT7fp0uvrH4tQyZBWKMsWNgLjOC4ivgbtOLXD3FPGycFWmdTYtMnCx72xKR3gLzgGnEIGjMnqjPcZx68ctbEstGxmyx7JK6oLSAlnGTduCUg4dX5V8gS4A557NuPZxS/Y4KAeg+Dj4yikFAkRyC+Rlau1DsQ6ex8mY7DslNJ7PtXuvT/sNBUiA4NIKfUUszRsIxkcNBvidcbR9lFPVNcFvDC9FeLOtXYe1AiMGeGOfMtxrc3CiJmUAzCh386K89Us5kBFr1Qz9HUMft9QopL0KjAMnWDkXx/hmSgqiy8uXrgXevmvm+PPRvwD/CUC5pgCj/TUwQhfhUSWkri2f1IlqKX33paxZo4Ii+q+OL4evNCDT7t/qkzqFNYrk/jpnNe7lx7Xx3Qzdb/3Wb73sqd2rdLaepXUzJPgLXdwTQN+1shsApTHvt60MYRzJVGWUrOG1Zs3KK3Qg/WS7Bb05XTbdMgPcrRIFuPigWSmy0WfQ3q0R+65y4Xv9W7P1JWB4gzN4q6WW6HDB8F1j19S2ms91fhs4qUwVmLdcvBlZ92xmwOel117dP6Uv92GHbDPRTzNq9CPa3cBv+fnqXPRspu/iA41T473rnNTavslFq5fwZgMPDUpYV3vfBJL2mWBmQW/PDJkDLEOC5vRKq948okPQyWE8O7G3IB7frQ/9zuZ4xjlcYi0b/AV+S88bJN94ekKrtb1lmTJbs/n3cV7Wmw2yJpW5u5UKD4/G5FOChX520Ix1Qc/ai8pLZa1BmDq9zrXoo2/wqvnX8fG/ICKHyv+ybn30T+Udb3HsPHaSnL1l86pD6zCz8fquPLW1akwCQqbNY6TwfstD0WN/eyq382Cqv/DEAjYLGnBcS392D8ZpVrK4zBw4j+jSflR+dh+1eZdG+NC6NTiCZrvnv/t3/+6F/9rcX9ZzrYco0YFoUszXQF5l395lQZf9/9Vf/dUvMjyZrw2snH7Jl3zJ63OMralrzct4yw/w/9ZEYBnf67slyh6PRI/3uduCPpxxQTuJRM/PZjvZTzpofXW7RbHSJ1J+3KiUm1VJtN2oZ7NOQI+J3AjTNUw1PDV4VeaUXBmbY9sxcbA5tCKCHYN79l73vu5ToN5IsvsV+N92P7/RIsKw1r257nczAi33WaNUZVspPZvRgS8KXv+izDLOjA5DU4NDCRlH93gai4gLJVkFvoZ5q5BKE+NutqZZWZ93zer8e9/PPmodjA1N6yA1aNDfG1fn5gUIOMxMNH7zBBAEZhy4QyEXsNaBWiM/+qgcGo/SbkEZ/MPAmpdS/l3HEW7ms/J3weelRWnYNXirVV77/q01qoH3vuvbzI5xN/AmK4c3O4Y+eoBTW0esgLgPM1/TL2W+39QJusakTkjpWafl8mT/XrrdNcG/9vJ5ZqXWAEXBevsl43edzcdhFnUolFcqm+sBGM2aVv83wFKgeKPlPRyHjOx7mamt2SLl6E93lW/pjsq1sru9BuIcWAIMABcNONQelH51nJoBuQGJrkE/f3r/JG8FXO2vuqo8Xzm48lC7UltdZ6QZYA6b8fS8jSt7qhAEljsXdETj4ob7etIbncOTPjKnG0zxub9dyyuHxSW1dw1aOgxGIJ3ssVFKgpu1LG+zqYI1HE9yUaeJTvEZPnbSKj22v3SZ/XbKD6tTLj67eIIMm7cgt987cOrqql3rZNvyFedB5ZK/suUNKADt5Uf04+DTLQ6L49DiRTTEK9Xpb2Eo8zR2yREVenVqGxSwjuVrjqx7qS6s/F/83IObZNmql5/k4QYfPp/NRZ/2CR+qAOhJuZyyXt+EUIOgTxhPpeeytvtrzdnV7oMmG/i9PFqc5zpjb4C6tr64uOMzNvaIvN9g+GhRh7G/dT2nVhLNfW7JMizr/bWF5u0zJfEScWSYXsG3/9uHCbE6+g1+Wjdj44j2c861qsAmxczN+RX0UgMCxWFdO4HfvTjmxkBeSw/ffRQP/zc7tWXYGxHZd5SehcT8Lzf6kFA3E4pRMc01hppFK1Dzvexxo709zU56vYSfUlma3amBjWA1KnAjXG85DsbAYD4BlkYbaygLPgqy14DqnohrLKIu7rmXKK3xKVmySb9MwoAad5mUU0vRyHrILrYk7TouN/vC2MzoWcM+bogiKE+hHTCNTlfpmf+UTSOfBQO3fT4hKY16XwGTBg6ewKV1rqwAfI4wlx3HBxSvTNHoe097vqVYdTp64EezNModyYzS8KdMA0d7/3sEVAFcefg6oKXtpW/BZmX7rd/ViX9y2ryvHFHcjNo9eVofF6wzBAW3i1CrYMCzBbUtx2o0taeOy+oyLkpWu/WiPHJbM7eX3gX51Sld9+qirb/s0V7VI4ImBWidq/Vzr4Jr2RenEKNjT1bs8/jQ1JjpIHTs+t7MeZ3aGno03/+ci91D5Nh6mYu9QU5m7UF4+txaff3Xf/1r39Zofx1Ig051WPA5nnrSM088L7hibWvnGsnvi2NoXZ7uZ03Kb9VVzZ5e+9dMVLcwNLDjgBjyoOqGvmtf6MTO18n2OV3evf3l1cpCX3UwnrBDdQq+QFeBxWvX2fOe41A9af3Gax6Rs74XTJGZruPUYOUqYdg1WczNyxMYVEBxoGq/yTWe3//2xG4MZJFttG1H2fzuU7xT20K2GoDD43jMZxxVa7N5ryKkjZzuuzkxAoAF7jI/aO1U4V5DrvQn8MqhIvfT1S0F9fzZu22hzipnvLiterQyvbWiW8qTrWpTBl25pg/Q0XpU93YtmhgZ7WRM2Sv6pjZRw3N1bG8FRKuNZMsElOhbh6jiN/bMvb1aiVRbUX2yZp1Ugn3Zl33Zq+x7zBzby4mnm+sscZKso/XtkyF6AOv+3iBD7QsdQpe1vFvAQ7n1ZHB0uVt42BNrstfGrhpj9ya/+KJBR/apQe/LF/C4tRKcljXla/3PHz4btxnmG4BcPzAhP831nGdl0HT3fqtaQIWIw6LIZXUu3dBquK7lTmUnd3jSeMuf9PIn5tTK6DFGBKBOCWDp1GFARGnNWp3GRugxqcm8DDAPA6+DQ8mKNPS7EVzEcn+3IIS9joDN0y0vosi0Ko0aYc3YgQfz61y78OjkO1lQIHAKc8yiMcLG0UgZYW6kr5HKNQqC0jIuzxBrtLLGG40I+D6TBVGKU8O0PbKAlsc6Gf+cOPzQZ70ZE0MnOtjMSp0QTvvdM7Pr7AkAbjbOyzNvRTe7JrehifXRv3XY+0bNqkz2V1kHYz2F/rVf+7Wv0fw6DhQ2cO1V43mBDSXVYMIFwn4nelhF4qU0imKv0i0NyU/pdqNqlZlGUL2vfLWfZswEJshjAcaasiYgE4+Si44XfQCPOsD0mQDReHflgHhR6VgBL7qsqfToyZsMIV7Z/zPck7mtf8v3CwbKz8aNh7uel4/L53TWdUzNu1Uga83K+L/917A2CMnw2dfXyPAeXbKDcUbHlUY22AIMNboviNPMqjlxmtAFCL5glIPN9pBV+t1vp/MdVLeKiYFGNNn3tkZsz9KAeNfalpW9us4cSuBntNi8qz+rT66cdP1u1gTtazMBS78BWKxXMw2dG9BVYN/1pY/2XgZ8reXBaC9Q+fu///uvYKWna9dx4CAa0210Um1KedL46fDapwbOn/i+bddzro1na7z/7+GJ5nozEMZB58yRY2P72KiOpcEQJ5A2q7XgOv6S6Rv95+TatoN2PWSFDgGMPW4P/VoOzBahP/uPLubNcfL57gsMy9jAC77f+Jzs3MZJmj6YXHGAWn5LZtHP2Rz4uDxtvjdR4EkWwxnmv/6B7jqVNyhhTjCq7y5OIB8N6qCZwAP9Ya6ez4vOzQbODli3OqvVEfusjwVrJYT+btu9p48bLKVHYa5iuu69JtN7TTeSi303nfdX/+pffXFGBNzZL5ismUy+Aru9+bLL+51tbuSAPl1/kwdjbfIL5toLzr0OLQxsbTiAymUFoMlyA5D9jYAQfbj3exyXg5Da1o8kT9fO/n57ZclST8CGycyPQ+5a+E9gy3dbH4F0h96iw/8RbAwjeuQdHFtaCmwUi671cFgygoZ9PNhNPvUpBJuDoIdTr/XvZGUJHbJCp+1+u8/aH8ex/WMfFCXyyigXPL50mOc41Zl7+g3BJOxPRq9GYq1RKK2Ay6LIbO6+Y+iWgzVKdRXkE2hfowh64ECNL/BvHBaIoXBd+y+Q1wclovne+IGTGrlmBOsU+r116UEYzdhdMNWmz0aiutfXfPt7zL7fKtUAXB0Ites8wsAaiXb3wIwLDCliQtNyBwIDtPT9Xc/b+vmNNBYgtoyotL/gv7ShQCny0YHxqKHjXIqYcYb1LwOIj3vYjHFXwdR5rfKurHIynBju80YN61AVaFZmqtCvTri/fSuwQAbq7OnrZm1cf3+vj967tKlsWlMyZ+/SjEcDTeaCRzpH/FiAsv5bnt8S0JZRXce0PNTg3hPdSvNLh8u3DWg9gbXKPUBpvJef/Y93gAT7pxjS/T9AtmBXs9Oc2ZY4KfdtObC9q/vNjB8eGJi3xrLAnNoZQDp6ANc96DiyJ9pON1RvWQdB2Oo22ekbgKgj5PncDtgpqL1rU3t4MxzW+9oijhC9Q9e30qf68gY71jj+5WtBL/Nq0KKgQ+CVAyKYue/qRNGR9NRTwKvzuoD+0uGJZz9KLu59gGMZFIFsAZOWeNYJ8D9advvHrh+4NLdmz/VtvYzBwZFkUTaKU1+nlk4WYLNO5dMG9jjM9AgnAX08RkNwptjj8qP3lx6cQFiEE7Hg0N1TS0/gNyXC11E13ma34CnXopc+q9tUZ6gIqXzBQ33ecgMn+riJl97TdXiEbTBHNsB8OEUq2/SBhnRmnePyLj7a3+k+63gxTR1/je268lPnsI5XaUBv4TXr3TmP33fNHE9Vfj2hd3xw+XX92EPJEXPffc/ussEc5mKnOqL60cdesBR9U2xbG1F/hBxfJ7X7aa3D+hA0ubqFrXdmTXVGsSOnUBDAmvBVah/xbsck2cXxHg0k74z5/zzJB3ruysbGWqeWIyx4QlZg8fLgPpfRJS+VBzhoc2mFLDnBh8WIlXf2y3fDzfTGJ3b6cbM9VYyMX8tUKAfgrhGVAq8ahgtEa1wafS7j1qG1WBR4QWfvXQNY8KpdR9tCGIsswFppwHkEJrp3rw54oyqNGtapNdYaAwrR7ymggpMqWYqgB3VR4DUcNTIYq1HOAU3Go9nkNfTQT8sqRGQXeXYC3toUIHoM1BpLQad1Juh1RESPWj52jcTNvn8hTq17as1my3qSA4qkDn+F0th3f8fk7/cy8sBllS1QKdrbdTefvXpo2XX6mt0qr7W0HWgFciofNZgf5dSW7l5Xjq689befzyFtAKytjvwFtXUie02DJOgBNA48OMTMs+FawXDntOZ7wNTz2aw18EK+97flyh/l1HbO1W/l7eqmp2BUA19Pz5EtffUvU45Wb9G5ARHXmpOo+OgxxxZA7+NGnDzv0IhlRgsWlxUAfpbpAaL3/D/6eplg5dQ7QGMlbbt/S4LdU79KMAGd8gY6OREfvRp4amlbAZF1p7/p3yen9uql64i2Va4bUJB1q10rH3RNWn5ZOwwcNVuDp2UVAUEAXxmeqgbZMOMyxgZNW75MH5lr54+m1WcNKjew0tel0ZUfsmrd8XdtspLSAmgYAnivHaI3ZEzQWRNs6O8By9GMHDbLhGc4tkoEC1JhhNJNltDWEbRlV/D37osnZovxT/X2xRS3Uoo+Ydd3Lb159xqW/zmWBdMCRXVq6YpmFK9TS3/DRbJqyiTrnHGmt77mUD2LN2SBW6niNOZd1+1MnJzqxOJU85JNtJYCi3RSs7PF0z7fe0+JgAtgpzpJbeNHPF654SB1b+l1NpqJhi0ETDaXVZ/s/zl307eeQWrdBSDp8c5F0HE8OqwHB219Vu2wvmcr1teuUxEDn/SE7hsQppNg5HuKduWjyYM6nKUVP8fY936YwPyfnNqNUUUDOndNm6FUMXBtCh70m5aSb+yjD7nYeuweLQumd/5rSvPNUcDYHJtQcn+OcysoBDrpP3qiTi2dg66r3lGZ4nA1sly/pO36RsWDDq/6RJxae1Ol1Rv5ZVR7CuYa5mp5bo06JVkhIHSYg6HpvtJb5lOjQ3H3+kbn2oeXiIJ767NRFZ85JXjC2ROAG8URSQKe6hh1PwSjUoNVp7bCsOa6OrWUcktH9Q9M2g9qrPYbX+OCds2uNzNaY4H5RMPcnxJeK+hx32bKrM0Yl8K3P4hicaLhfgOUWr99Byg3sloH0HpeYN5WEPQU6RcsqIFFoz5brH30no3IuRdBpjj6mxqhj8oc3GitPvqZawCmljnf/2vg3mp1Om+Aqk5ogWe/q/Eu/Rvcwb+N0FpPPF/nsHrgOho1ZGuUPHA+Hl3pnD2fQNFTP4Io+78RXXxuDIIS9tDJvKPX+F0JYHmkWRbXCopdAGSdC+I56tWv+34OnzMEuo6cHPMova9T66/AHZ5Zq0zshOXRY78dXXtdI/fbt4pG3/M93/NqNLcO3/zN3/z6+K5/82/+zWulyDd+4ze+Ao9f+ZVfeXFsd81O05wjzGBzqgBIZWMyAPZ3sQvKIb/0S7/05TV6OcyiWye670xJmKyy8r3e60l2rJeAmHZ1k/Uh+xx7uqag6cl5xuvNxDRrZgzKxG4gqvzY6g2gbH0BVM0AAcVoyxazPTIbN0jA1pDTbrNpu9nPq5eeaNlyODy+e7P7W8cGjnb97Du7UsAlCOC36Fv9RAZ3PR0zUKo8tXvNawerj91v/3c/PjmzJh53ImsjKIdP8HaDJwsiWaNm2rq+5Mfv6JK9nDEhM/nWnm7BV+Of06UstwF1+l35MR7qeRD+B6TRea3YA1+3711LLgv8fdfALLrbu0vGgHg2vwGEYhJObJ+daw1VppgTvuFIqfDYX/uUOREF++51gzc7nXdr26wfni0+tz4cJxgOBlPCbF5b6znYc1g+/elPf/BLv/RLr/cfL++e3/Zt3/Zy/f6f3p+DO5289d77OcNKj2Hufa5qzdx/7/d+73XdKg8SMw48tF62ouDbBT5nX4pxOW09WLD4vxnEOrW750rrV3rsgM/bdm84m4O/+wiU7TcX9xoD3bG2+8LcxiUIMTqtD5hx/+/afbZxwRv/84dlxmScbBebWO/ycrHr+hNMsPWhmK1BD3oQfl+jH9nVjqFyzzbAIBcL6d/afmKZ2k1gTLlmEAzR9bYNnADVUVKWwtiWuRggNe1rIi0tvdL8Vr8tcWu0s5koxtKrBsrC9KATn9uHa276LnAz34JOc8XAdQx8L5LZ05obsbj3LEDq4RruK5onY4EZnfzc37SM9wIn67IX573ldQwhI2HN9nfX99EWBcfKRBw4wKmnePd7UWF8gq8oeWU+L8wco+/+dbLw6lN7ygZ2vHWY8PLNGOPTOlidd6O6gF6B0HUI/Zby4cR1PHVqGxnvnBvZLCCqY+6zApP7/v5fR7z3w/+ue3J6m2VsK0gvLxX4MgodV+lWGjQowGDhJVnZKc0ZCcYM38raNVrcjAFAV+MqW4APRfQ5jdZ+4+te7L7MgYzLuFydQdf289IXwPrUpz716lRfnqen0LgByq5jnYSr292bPph92OMHlB8pWWv2xx4tB8Y5mKxgln6YwyooOrAFpH35l3/5K/AckJnTzljL6Daoofqjes+YN4ZVkWxMAwOCZw34sS0FHS0zAwwZ4KcA2tVJa7eqBsCvzNEDxnyztMZae0J/2tLRElD6tXzHxjRAuFf5pBmT3aeBmv0d7+81eTL2ZvrW79Zw6w1HVNZry28W+zoQ1q5y8qS71pq9F0jfbxsAIp90ewMC7scWCj4DbQ4oauZbH5xmj7QTQOuhh2vVU+j7FFATDBjvj4b20tqD18eT9LRle902hjlMA6JO4cUTDZjTn507uuL1Vu69pcttPRrfOPRIn7fUEb8Ze0E02vbwmTVzsF+3WAtfjv4Clhu3E9sFo6xn7QCdTv+Si7tOBescGGCdY1vbL5BAV5BNuFfWzzNyrWH1cfm+bQ7hb//2b7/qwgary+/WsNgOrmnQkiM5mZXIUYGjXFjZrWecrgpg41rAcXp4OnXOMOdE4EWlh7GgcbPGfRwhXrOnk8NKp8A5+46Txx7Uztb21f/w3fVH5tQuS0sen3TLxm3fsMyu+dCR7Ob6FzDbGndLzfiP/cP7e41/8aMzgmT76Xfr8EcfnsPDxzJeuso2hwbG6P7qPFuIWkpcO4+m/AE8v/7gKLq0VY43eFp/Qf8+e4vPPzanFuEYhEa6KERELAi9xrMObQ1ZXxhDdG3XjWlEai6zc2woFYzs2PAa3jrjHKnW5FPyomWi2OuTQa+iwniN4twFMieGswDW95zaW8aD2S54XbvOiugqEEepNWpehdVyGGBJXwxaa+/9ZXTRopGegmOfP0Vym4XvPTgRaIXxgQXO3X7LgNeZ7W9uJP/JebVeT+0qwWYm8TClVgezwLJZNs28m03re0aoETV0vsGHm2Fvo2QK4DvO9kFh31fll4H06jUFnU/99No6U5Whp77fUoLXofZZs0Z3vhSwU0sdDDRdg/YMp4i1kjgOrqasEHAlu06O7OEkNwC28XhwerOddQQuHS5d69CiTddif6crv+ZrvuZVN1S3VB/qD93q0NSQXbko3Y17dFm2c7pytPjMZz7zqkdbVeJAvz4+qg5bwQIZp9v2+ZxQTub6EhhjK7rHCA9UhsmQLMoOQVlZ3fqVoapj0YCEfq5TCyBXL5c/rwNWXVmbWh1THrYGdE+dWvxwMxiA+g3e7lrBgwFBdGJf3auZx30OUHarSB00dqyBusvXa4IsT2Pv5+Wvvn/CGW+BH/ZHlk8goWMEvLomHOBWLqCHPaQtwezJ32wDR67VTnWcnjATXnHfawcmN+N5zp7x9NmSfovuwLXtFg3U4acGI8sn5d3SVEa44+86cUhlknugTYOPAgJ4wJytD8zSueEPDgy9Wlnz13YfQZfpXr9TGr1r5ojtOlnEBgh6+B9dIJnTYIMyV+vXEmt8rhqIfSCfKvk4tbZEVG6qVy6/L5u67O4Cmebe6pI+o9QaNwBQHd7ArsOWtob20guO7O+ulWm0lWn9j84LSnLiJW8ki+yjhj/wqDGhYx1F2HA63rrPeYb7PXZt7wWbLlbHZ61Kw2twOodxc/W4quokjZx0P+zuq4JncxIAkwCCuyWe6gPsGifJX+wkYLr3srj4CI/95w/LoG8JOl73PZ69FQnl6dEcXY2tyUm/sbbNvO5lSwSZvbjPHCu3xZw3GPGxO7U2S9skTslW0bdevBEh4MMgW1bSaJhSmf12xF7kafdcdHOfOWzoq77qqz7HsFKI65/ysTjKfCiMOghrriHYsgGYSMRtEfyV1m2R+/gYUQ6OGWayMI3KURqyRgXEjm9vNhET6a+KvorVNRuz8q4aKo+88ZkIzNZhCqHHgl8muw4zBu0hJWvNOGrAqPr+CkXL/4AMR74XbOOPRoutt5dT5Yyze2DQHL99IU7tEzgi6IIFAI8S887vGuz2614NBIhiKZEz/x5wUd7B34IASm0aeOCctQzJuNrXVRqUyXUyb8NL97rrXHXezS6Vz13XuZanKP86xQ1iXOes/ZrP+nAQ1HTGoq/+B9j7/GoGvdlEPIunKy9d9x58ASjJCuOZ8fleIs4yDgJ/1yEon1qzBkFu9g74XSntHJGN7e6Ff3IWCmwbmOnjpYzvOtnWw0nPm9MyqtPfA1uf/exnX/qcTh9YANrWHKS2z5fdtR50FWDcah/zakUOx0Ep8PRqs1Dbo7vMwXSiNZgj+5Vf+ZUvIMwjV5oxbCaVQ0IPkH2ZB9sRrNdT8AZwp5Pok+vU3iDolb86p/SiE+r399d+7dde+I9+rYO/BtyPRwDG0VgmQeCQrMxWDKSqmlq549bSwVzrX0UNkMaZ6Px27XjE/NChmbo2MtwsarOprrlBMA2Y63NcW+0hSwKE7l4OHlN+3jVcX+NTB/nU0W3WR7ZD+b+yyfHkXqOfDBb8VOeyY+XYOWCNY7v3AnRbB2u8+9XBAnT3Gv+z/1trvFO5h1dagUfmldBW714bYRzkVjDkV3/1V19tZrdXcXg5gQA2x8fY4S9OeR+D18cVAfwSMTCOIOXkfLw8GYAttp5oOX1lPSRyivcafDNXfReHFD81A8xhXms14K4Zby3j2mD9WvVKK5m08dQv//Ivv2zTmKz2wDf2z9YMfN+zDDiW9rXSebDPaLynN3hM3LKwCwQ67Gm6Fe3Xx3hrr+nX3U8ZPgfJ2NgNJbYy1vUbNp726TF5e78gap8ZTxZbkYJucCG85bmrbAdZ3Fh//dd//RUf3ISBphJDST+9N1rB4mt8jqcKPD6IOStbN2Y0aXKC/NlzWqz8RV/0Ra++BNyucW5VW5J5Y1BBw9knG31c1voXLN1Y977bHOmJbmPD760Ccm8+Ir/I+zVn+XwiTu0mvYXeBJSudG+LCMcaY9hIOWUPwFscjNuF3ucThN1ngjoFvbp2343wToZVttIIPiBKkLxkBigfgj5Cbl7dc7OXbMLuN+GdAuyca1ybCaszUqB1M30Ur4xRS2zRnPJvlAOduwdj8984CayAg8iYU+WUIwHUwFmdkgKGZmswIiVtrI2sjO4UA8CJeRloa146uE/3UDTSDMQ/ZSvWWndvjRoJe6tdEPQWMLKOeMR13UPQbBLebATsOgECE/7ivdKjznmzuo2k30OjGuXqHOsU3fnWmakTqpTE7/AFnuz11vMpytg+0ay09dvyeX/TPupMV17u+nUcBRMePbDPyQX69/lyDRw0CNG16D3r2HEQlgGkmFfKtN9N1gdaplOqq9wbrQtiep8GDTrXvuoMNRvf8TcA4bNb6vwWcL2BheoDtNi8Fwic/t5cB0BkQuZw9XcDSJv/HF8HWUxHjf/Wz0DDHM/u3cHvShWV2462Kn04z+Yhu7gxrX+B0tkaoPgCIe8ZfjLhc4FDQKqO49Uh5Ey7Dpy16/kIl7bWDSiqjO+vR6mNlgIJdQD6m42XXfSczQUiOAmyWJvfgsyjsyDa6LyAxT5fXz2JFh4AoNY4N8oZu+2l9rP0azDuSU9cnfbkYMEu+tG3Ur2WZnNiASkyAbew4/2fHRrdxldzKPDiAjQczB6ippRQIERW1xak3cM+TI/DaaUO59Z6r585YrtfH99BD7Wyg713XzwGwHPW3tIv6EGf3uCbJsDV0/y39gJ8AllsnjGaP/1bQM8J0ZfM3D1fgQztM04X3lzjvHJGmqDZe04TGaELYYDrNFVvcAafAtflM9ilutyj0GRAu24c6xv81db3fjvH9lu/9Vv/b8G5Nfesbjc+427WsY7JPhu+5syMBnMoBa/Ge9MT9pnSGbKyu3cfvwbvlQcEHjbP4W1BEXuz+yxnwWDzWR94m83Tv/lYY/t4G8DZ72w73FymQ9GLfrn6umXsaN0KyGKejWP0gn+nF/ZbmOTrvu7rXuna6pX9dvwr4+pRQKMLWwQb/+958og177k09GYxJpr0kDHr3uQNmTQGOqK0e8o84336l7MteLW+evI5+wQnfhR+/29yahHqnpBlYF6MUI03AF5niCJAhDqmwCWFLmInA4EAlJf/d60oDsGwsCM4w8KIKzka8HHoxV4cjRngntrW48hrZG85CIbxuQzKNc4WzbPIXKOJkDUqby28eqKg56HWCWzZLuHnlIkm9hmmgBRhMa8CjToalIaxCTb4v2VQgBjeaUa1ir3ApkpdH0+g/mY01/rbt5zVjvWtzwpeRTbxbxVWaeE79Op4yivmiFc5slX6rqWwKIaOrWOtAq4j9HT9dVjq6DwZUGO7jutdw6d1ahDjZmrbx1PfT/2W7wostPZ315WewY8FIre0+6nv298NItBnMgSMFYA/fQOwUeTAov46j7tuT+0JXL7F96Vz+fMpUNBr2+eV1co5GvegrPW/IOXAQh/f1UqN6eJds/vtN/T2QIaD4apvZRfo0+nROVpK/DyLFh/TsXT71kdUvZnX0ruAsMGcyquMUB3Rj6L5R8mje+Ij191+m9mtvgVQgdKWRdMnHbvKAkCdk9/Dh5xy21NqB6CVINI1F2hWzsYL61dQuqCf/uye5ycaXT1wafcUOOC4CrSat31izeT7jpyiISeu2VQ4Z9+r5lpWdsCV06o0UkBZJmlj2lz7nMmNp+vQ52DLjndLQ7Pjns9p7+r+bwnproMTikvwLFC6xjZX9115aGn0W7pRwElQ0CGbu48DaVrarR9Ohvk1gFbb4/mgd/3pMDwly80pxgec/2ZYi21aAddg87WN1X+1GzeQ3SBPg8Xtc/pPtUWDmtUFb+l0DtoCWQsmytR3XLeKhA7BT+WRa29V2NnWp/qRk9mKTRiPQ4VnOabkuhV7uweMLrE1flFq38MhG7Btu99d3MpOcMoazMd7kkyCXuWBt3j87k1Gv24TIYPGR7bxoQQQvK6/lkmvCeyQm+r+/xJZriN/8XQTZfwLwb01Og9fORdDwMt8Szs0qh6+mdkGwkt7nzlx/wnXfyJOrRLkPnwZk11wRuEhQqNhBYmYgvA0Q4KhF7HZ72Uz1ZN3L4kHlu/FGKwRhv1u33FSd1/lLk5ok9l0mEXLDglalaqFqKIgwC8E/rAEmjLsw5X3e1nagQPRyQqpfQr6rkNKOKX+RZfvSWQij2XolqVWyXd+5lCFQ1hFaDaWHuDVyCyjDmAZk7mIKjUbyEC3ROMyPeNwAfwNJMgI1xF8q30+oamyoGAqpGjUtUIn9BeFNG/9NRNDnijB2+4YarAFdshl51bHpZnuOuY309FASo1yFaG5Pr1uJpAzW5BdfvBCr+vIckYasHhy6AuGG2hDI88O7GuGF23osycj0Ps88XNpyxjhxQGBbZtQurp72nLgcAt9cK7u2jzNu+AKrbuWdcRKc2tx5aBGp/1Y7zq8DeRUp+M1ci+6u3nKXnkMCBCBXg5qkgVSwr3StpWD3S0XnNqWp3etClbZF3wAzHJojVXQqvJfR6AAnn1T8aOcuDTqtR2b9bz0r6xWPxjHdXQrr+a1OQmWzmbv/cYl66cEU8WSfc+bx0/8xE+8lg3uGuWys1P0jGDN7s9JRcf1M1stAG57yPpb5QI7vMapEgBqQLo68Im3Sz/rXrDV3wJiBY4qAhpYt06ApkzKxiIQA/RurPu761dFMPlWfdEKALK5/qufbf2RCaTj2OXOlV3YWrLnxqY8f5lie+g33lWGmEMzzkoTBYGaSUMrmR6OeB9F020ula/b4IHK2eR7/S+rvPk1QVLn0bhrN2E2uGF9y0a3lPkG33ad8U2XjJdVLziMSfKk9kblBicNvfBBnUJJlXtOAnvU7HmfT2yt6Ng5pMN0+mV7dq9W8TxhFrbrF37hF17KhFUZsqlNbNBl1ti4WxJ8AxpkUpDEoaYSKg6VchCazBte2D0m+7sPGeLE1KmViffd1aM3OCgIvdYqjjpU9APHVcUOvI4eG/uConvBxWtKoi/d+Q9OcV4/yqjZsG5ZG++Rm41r9JKsgxP32+kRzx1uEk0GH75dgwG/6ENfar/hz/idLT3OnriHoeG/3ZMOtEVk4zE3ugftBPXoFgE5dBX0oTvwWB3anq8w/eDRUNb1CQt/LE4tEKfMYINRz30ZiuPEUVtTpoK5MWojiPsfoSi1fTYmmdFQQrLPRTX7/DP7V4EApQic1QqCkp0ZiQnXPmPkW/bTcRWsVKG1XLZOFCfNZ9fZt1/YQ+wvYOUIVJBdh9ZrSik8qLgOiPdlKKCme+MI/S1LYPy6RsBhyzhEYjt2jvvadbg4cEqoKHqGAzDZWOsQUYD2BzKwou4ihwXlNxDxx239nTXFR9Ycz3WtCiRUFlBcBa6MOUADJFynzbX617eIZzPwjc6iwc1CMWrXSaKM6jD180bm8Ekdq5vNbXZWxgRfrzX73WtbFl/HCjAt8DXfu1bAA+BX497gDd4rfSpvl5fsvSsdKW/jqb4gMwJby+iIfvqtCOtbTlFprs86NAWW1Ufk5ql6Bk818FFesx4cebQwxpYLaU8Bh/bb042VR/puutfzrDf2gV8nPlqfztnvblCmzRx6CrM9eXVq2bHqKPzCkLfMbJ/NJim5s5bGcWmA5t2ucMfdbRdd5wIf9C//WhvZufHXnKaBo9FwpcLTpSt5cwCa5wmuL6d+AjBsqQNaZuv32wYcBbfRkPMy4OYANk4du6OksFuNyL6+ur2Drq0uqlzge2BVAKdNv7tvcUgztw0osy/73CnDa3BGAy5rm9ccWofD4H/yzkkk27VT9tKzgR2zeVXv4yPz99gN42hGDv1sg6ld6LkQfs+2KY++OM1vZfdl+M2pdO/88e2usWd7Ms657Jkb9GbXnE3sPkTZI48TFKwqEIZ79LF1nNO/ewx7TS7gkns6/Bodf7PyaIU/lMTi8/4GL+y7OrQ3YOxwqGFrZ7lU5otfmmh40rvra3uXd/33fu/3vpbee751A5c9i6NBhQaNauPrjI/f5wT5neAWO1+nh763RvYydysavraWNzOOHyQVNm46DB6tzFwbYPwqptgT369fz83l3DUg9dT2e44cevFp8LQ93eTJnvLRS9WSR9Kh7UqRF4Dxe/dvtYaMczFjx0QXrRmPEmM4RbBlzaFW+Ii9hDXrBFtbfgXdW33Wgyl7cK1mPSUQ95197Xh/331ie2oxicMPCHCjFwUazc508gAsYNtIP3BUZ8z3MhmUj994mPPeqz0nVLsf5xX4sLAibpuLqB0l7P0Fe80SFZA0o9NyHiC9guM3Tqe8z2F6cjD0z7h0TYCrljwoh2uJsL5viRdhaL+NilOmNazWGy0pCFFFIB096lgTKMKLf7r/9ClTWVDd8eibINWx7G+vkrt9v9WuI0zpN6tWA9psSiOq13mkKG/WpYGPKgDz75jMa//3JMvev2PoXNy/313wWKf1OlJVoN73uzqjFLAs5XXY65Q1yFJDdu9p7E98izYFhGv4rU4yGS3PF/y1JKvjupnLK5ddrwYRLphoVLl9lS+6Phds3ABDwWGzx3WA0PwGNe78ew/XuledfKCx+rG8h6/1Qf9Ut1gfkW8lmxwMjlbn2eqMKw8FtIJ1XQP3uvv3C/4rj51r9Y+KFADg6o5+ZkwN2HRtr1540j3VE81Q4FdZWnp/43K4DuDp5NABLU6k7GgdG3sQ0UqZt/nLTHnJIKx/oBMtZXN6Um2DUPqsfi94v7xfGl0ZKJ9rHCL8wDHy28rJ3nM+BNBl6vDBfmfLkoOb7r5Oa10nhp3cS5a3zireNO9mNPRTfVx5rJzezFz5TMnnDUZa+z6Pnp2uDt49rt2/NrRYo9hh/ztRd+DV/IsZnuyx35cH62zdgId+mwEWiBlmlM0CxltubvzoVB3FCS+N8Rb+uAHOa9vajHE8NmcKPYtXrv2u/rk0Ine2C1xcWLmi2yp7+IJevSXUtb11phpoqUPXgATe9lsZy/oIN6DexI739r2r0rnBfv1fjAB/tKKD7VK54bwNnz/Z28vnDXLuXg3aV6ftM3at+Bhm5ljvtaCkQMfkpWcUVB9wFhvk+C/BFGs9kd/6FPu4v/mSK35JMQi920Rd9RSstDlyRvXXYJPqCniw961OuDb1Y3VqTWY3nfAp+/WcpQqN92XKqwxNZJFcBBGhs8B+RzCUU6xNOTncA4H3d4aiBg/oGLOuLTqoHLllnFOyBTkiFRqBpRQwQB0mjMBBu0BRBE4kZXRcZE4m9EbfCjzRADNTmvtflrTfi85RzhQMJVyn7AkYY9SWCnDY8cOuEekBWkVYBDzsWyBkLQHdb4Aqm+PvnrVmnJVWEArj2V8ngFY46hh+lGN7nc3bKszWhXLBf+WNC1IrP/d+BWh1Qij9fl+AYK2tWzMfd75XIXvfvutE3qjjdVxrKJ7e13hTmi3FsfZa9cMFqY0Klv51xN4CRQU5rsHvzcA2Mu06stKTNusYdV0Zca0OR2ncQI31RW/GGc2fghKXZ0tvY69D4B4F86U5GhREl27NEHSLguCUezYr8eR4oLuMMYe+AMZvRb3X/zKNDsgoyMLndQgKlOhX1Tz45WbA6ak+Iq5rWj41zlZlrF/B0WaBu27lC861bS8NKF763bWu7gAS6dqudZ0r8/L8yNkEOpjevUGbXe+0Uvod37Y6gW6tHBqfE6QFJVqtIqvlt2wR2pF3cyBbpWPpb22ssfdtbOR+U5vPruyv/8kE3pkD5BE4DiQzFiXIAgkF15zCPham9qxbp/CaZ1yT2VaP3MxjZR3PsLUNfFjbAliPrLoBQ/xMT7MxHHr3N68+NeKJZ/FaZUHgZTwGR9qnXd2Er4qt9nlPcq1cVidf/ei6fbZ1ml5Zv5PZHWSkSsF92FMZNbrQSwCZ7miwHR/DWQ3SP8m2dRsvLTNn/aoPKlsXq11arNm+IRgDw9X5fMJCN/BTHeV+Pve/DGmrAW5gajSq84K/VXjg88on7E1W6vBsbt1vfp1gfK8/9knFRINNsKTDmmTKi5HQ/ikoAT/QvzLBPcm7lQXTw9a2sg0jsVvbE70KTtlo++Zt/8Q3Am/W5L8kIOGJJ/R+6d7Kp9pH2Eighz/Up7c4BGzXbh3YiPVVmWiChlyjn5Pg3afJTfOgL5+CXB+bU2tCSnaVgC517gHIXXiD67HZ6u0p7060gBeAqOMIYCqz2Xc7lEGfBc5KPaTqZ9i78IjfiKYx9/TGGu63HB6/qcJvFs8C94Hb2+/ieV8FCjUQc8Ab9cOQDRZs/sbo0ImCBIaF40vw6iS3lNCcjMUcMB4hlgkmjBiwjztCa+uoZGsCYb+EMbSEYw397BuyfwN9KL06Yc22mEON/lMEv3127lX6Bar60SeQW4ODZnUmyzt16IwbLbonHSisY6DPC7avk/dk8K7Toq+W7VD2lcleXwPdyH3p3swr8EYe6ZAqqjo1NVyu5VCiw51f6X+DAPirQPc6/HgRD5eXyN74WgSX8vd7Mrl2HYVGxssrxlBQjX5Ad6PNl7YXJDX4wMB2n06BAr4VmKmOAVx3refMdZ2Nh5EEoKxJM+GlszlqzjUQJW8k+tOf/vQLTZ0PUF1Obzs5tZH88m9LUTsO69yKnK7Fk47nsDbizXGejlYBdHnx8mlpXsBTw9/r+x4PsY8tzeewXZ21/9F59/MIGsCvMsi5su/K/XatMtONR+mw+VizOki1O045bqCougufsEEFsWjCwfN/dQC+bBXIBezsh+wA+6U1y7SxOKjHGBs03/8AHuDVcj4yWv0go2uenQdA2HUp/rn61rVoPJtfx9Tn8NZ+x4nFl0oQdx/lo83coKcgMtkEutn9t3SRNSsv1Ubt3sqQlbtXNsvrazKma/auCo48ZenQFq/ZmmQt15/nhHskkmqQrrm+lNXj4QFyY0Xb0UA1hCboXptCnzWA4zFjNyHz5EB9If83a7axK/PmnNSm+U1L4/HdE4ZoZr/nn+y34/NmKW+QqQErQYViYlihySz4RFBVMMHp1DBGA4rFhKWjz5tYWxvdF2DZGrScd+9vtcNtnHxOc/EBHqTzyY0Azu7pDInNhU5yQrjHTu1JAS311/+u9wim+Tf//w8rH6o3BBnZgyZD9oKvmhCQkMLX5N5j+uigjUNSEr8YuxONu1/WPn2l2LaDbQsm3NFn19c3+UScWgMrQNuiLLq0QSzyVvCAyQCPEaWG9CmrhVA3qrm+AK6mvZUfrHVvD0Vb5/S2GoD9bVlCDQnmrAK5CqeAE3Dp9QWy+85hKYSxYK+tIJ0A1tF/2jvqO5nbNdEozqlrZTiBu963IOu+akAFJtAUkO646oz4v+VBQHQPrqHM8AxwDtCJmq9178B1Alo90DLvywt3rUr7ux51kCbo7qV/PNOMZwE42tSZuKCvn9ep1f9bPIOm7ls+roPyxDf9/gko6L8A64KaAs3KA6DazJh2S3BuVFnEu5kt/Fc+LaDtGjbiV7Dp2lti5XfXIN61bAQbPcv7jTz2mjrMHU9l/QKWBg+uXHZdgBKlunTOeHM6R7tg62lM5R2yVL5q6Wv1eufbMV6H/mbyyDf+Bb4vD+ORrrP5A0CMbI15wYbgQwMH5tDf3Yx0x+EZrD3Ux++fWuWNEW/mhP7s9f3u8v6d083u1Cm0p5Szb62Mx28BP/YVrcz/VoNc0NprAOdr9yuH5d/aA3xwA73l/X5/s5htwF/36Zlz+zE2wTcVXXXSYZ/xmEMSOwd6Bg+6l/k7BAjdrUezrGxHA8PVP8D2bI8S02ban4KRlePawTrosAh92XsXGzUIevVQ9QseqE3FA0Bt9+bKbnZrQoN0sryczPL6pXXxXfdt4iuBreFWuLFJmZZe451WF5TH0arJh7XawNKnWMDzhe3PfsIc+q5OeEu/lM54Un/NetW+Vu/526BW8WD7xRflEba+Y+//nL7itZaAl7esozW17vbRwpH0WXU1O1i7oC8JKN85A2B64tqry8+Xz62Hee7vHMyrO2XM+9ic2Y+deVBn0z5SB6nNSdRPs87kwXkUsvL/04fyc9etCRH8Y8yCNJ4J7XfV+ypRBLfWWgniN/bAWvONz/yaFOPgFtMKUKDrU6D3Y3dqu4i74RT0ohsb+LK1Bl/gsolIyd/yV0pEvzWmVViUgu/6eALGh/IiAHVU3YOSAXwAg3uSV0uMtDLCU6ty1bc5tnFqRc3XGrm+7WZrMLUoYRUZo9YMESEuKENTUUOKpgxmTSrk14BVqVd4jLkR1xo44zKfHqRhDnXO0EE0kRARLpnRO2b93+uf1q78fZX8NTIt21zEVwmVKGh5ucC0irEODgVIPlz/9EKbCxS1gsB9LnBS40aWruN631+npjxwndrKCxmrkUOzp0M5yEyjg+2/7+kM612a1GlCC9c0wOAzQLbO1wVr+rnZF7TwedfnAhP9NRPxxG/97vKhsVUP9WWMdK3KioElj2KxBQPN0bDGr3zVDLz/957RtDbXMezrBge1GmZZ3/Wv786ntKqexcMF3/RJA3yX3nVqS8/q0hri6s3e3+nCAjKfzwgXKJKRytBezQxcR5VtazAB8Cjvdax14p3gbwx93/JL51HcEuLbrpNdmSkOuMGC0uj+xjzrsFanXTkt7Wrf22ZvlSo2KFzgVBk0/72X0Smv4ktZcOOqk8ABNE70mwx6L4OsuqvYpQdedv626shyjAfvKbHuX8eueo2jziaiA/m7Qbtbrtn1eXJo6Qp8U8cJrQHyjd2TLSonl7fgO45Ns7TlgepyDmarRzjlAj1zapWyogE85N7jm2Y1qxtqR2vLjasl5MaA9vtcpYftV08ObfnT/Z8czevUumfLoPukkd3/6WkJ14aWj1shcoNJHJ5W0UmklEdaMVkaNTh4Zd5p61unVl3iSTzS+zZJUr5lH4zZafxk4cnOf5ROx68w9TBhdSjeGO08w5f8w6fupXrgd37nd16qMFWlNiAH+6tY8BSVv/yX//Ln+DTVQd3qVGwusSXTXt5Y/zB5s+J4tTrHS2VGdTBbIAAr6y6QVHkRTCof1A/42A+KcnORsy3GFmlltHNuTWDXeR7VrvGoAABbWRniy06J2BRUABQ+939LaJQzMNAUWR/fQZl7/EKBmUyGQxJuBA5DIy4F2/IrL+XO2sbQaxgyUaFGvq/wWFjCaV7o2kgJhmJ8a/ApQBvz7ScmjIwgmuu3Y6qzQUALZLuPFjMqWasAA1ciNs3yVgAZYqDRddYE/cufF/hTGIzJ3Y+j7XulR21Pys2YlEd+53d+5we/9Vu/9bI3x1HkflMF2T6vMug6FgyW/pW/K5fN2hakeTE21uoq//LIBY+uqzEuOGhVg9/hr0ZfKTEnb1dGWioK2JHjOlk1hF2f8q25F5w+Ge0rZzfggg5odOdZfgCSXH/XzjrcsdzWAMhb39cYd08MvTY+/JEf+ZFXnpmceHyObMAaehvzdTgB+vJlHWFgZL+d3jEvj2+h9+mJO24ncaKd/hv1rVMNpJpXHbnaiToQF6D4vJmfzr8AhU1q9sY9GPYB0h6mUSe7/Fm60rV+p/TLq9U3BfVo6F7lqetwNihRZ0jEXTATP1rX3lcgSuTeWAWq6KKOoXuyBEiduWD9um5P/F1noO+bIby8hA/X73Tz1qVtjp/Hv2zdyrNs4g3O1GnA0w7YAhjtd3MqdMGXsdGF1t9eu107zORRIPaoea7sMBW7UL2/zzjaA8/Kh/GNpqSzthlPAvDKUa25wKz+ONZanT76Aw9cB4vueNJ5+Jw9mB3d/GtP/Hb96sv2qSZGuk4ycHQOvkRHTodtFXho/W8d7Z92ovSVH7whmUBX1CmB8/bd+Ka2BD+v391jztRKj3sit1bbQV7oQ5jx0rwBMHK6vscnHo1mPyZnk4PUMx263l73AFTrYj4wvlJuciapUuzRLSXFH+Zk7gIYHtfpcZzrh2O6eT6VosPcDXjA3XyH/Z2cjS6lZXEFeryF5wSXBLk21jmXDoDdPcdXaCQjysY48dzJ6hIRs+P0y37jZPXx5+Y7XeT57Zz6L/pQ/zlgaico7/NV1LKv1pxDLOBnC9WuXXOKtfXeNVvX/X79W4dto9zvRoeN0RlB5BTv7O/GvO9sW0XXrSvfqwcP45Pi/E8sUytiJrpVp6MG2OA4nbtGmQnm7W8QlsH1XaMHFA2lpzzE/5Q0QroGGOF4cj6NqY9q0Aowb2aAMyHaeSPjVXr2szF0LTsr2CpNev9m8tDS9eiBfkAFZXONDuNgfTB6s+ZKreqgdj0Lfm5Ji0iQ9aqzwuEzXvev4WsG3eMQXMcouF6QYq3K7Cr8Kqa3ePqjGj4yjl0/IPPVX/3VL3sibOgX9ew4bvQV/RrBryPbcsTr4L6lWOtIPTlwd67lkRt1ryG70fgGNyqL1zEG2vF7gzENumgMMF6gK/zWPep01IBd+vi/WZvqmpu5Kzi3PqUxevTefV1ntE6t/5uxuGt0jecNINwAQ/VEHYAZi+1P+cxnPvPa12TZWjRyXYdJP9aklSPmVhDZrOj+ChaVhuZVx9nndHEdwToEN6hwg33Vbf4vgHmiE7pXtm7r983iFmxzVAbg6rDd9XuKLhfkV45UGF0nX18NVHWs/r+Ztc6tgVnz5rSUJuSrVVS1YXduDTLSidUF/mcD8GLH30Yn3fU2/tq6Jx2ljQ8avFmzd2+gikN4qwsaTGjArUFWZczrS2YEmENDerDrrM+39C4nrweprU+4onvb9xuZWSdTczCsOzpbh9qbBhvxDrw2/dHAMhktfhC0bALiyX6ak99cm8W54cRvTjASh6e0657pOuvWqvJfXrd2KtF62i754zgB9x6N2PLV6vTiwJuUqB0tv3bNHRLq+dENgl29Xx3QMTzhCjIGI9KzcxqUUHO4yYVERPHNrY5Bf3SrzjbfOtTmCFdL4FS/wuHmRfdYL2XGHDiHwhbbr09ras7dx+yvOVnTjV/Z98p8p8fZomKIym/9iEvzfbYx2lplHAJatVW7jsM7fvP9/jp0d/TavPkpAhF19NHJenQ/9P/+IU8LLO66Pme2MlTH03rgHb4a3FafC73hc+tBrq1LZZZ+qv+3z/rYTg4xO7Rx38qbj82prSBJZfcwguvUEuQySiNImLuHrsiOVjH1/j5HPIqLElZ3fsdaxd8j6zFAAbp7lWnXMEQ/r8EooKpQXIV8FcHNzDwJTefaaNa91wWRFche3+wJ5VsHRUTd9aX9WpU4QFNniVBg0guC9fvEIx1zgWWvJQzWrQ5Ox3ozOk9A6q3Pb+v8Nq45tdvET5m1/L3OX+lTB0hTUl1+qXP1NI7rFN3x9v/rFHlfw16QeJ3Xp88uKOvnDXIBBU67tXf78nzL2p5AgJffAWteTw6KMZOH62CiLx5pX81Cde7d40y5l7euc+19nd+PWs/e72kufV9eZzRnAJalmrHuvQuytAZV6jA/OeaVkwvcfKZ1XUWHO3btyn1f5dnr5FzAuFb9VR1+ncG7FgWrNzhhbAVG7tvH+DRb1TV9Avv4pcGB6+Q06n6dWr+79qlrVRtUXfjkEFur8rs1JYO9366rrUQfTutTgKxZ1N77SeeaZ3n62o633uNf2dg2gK1Z3RvsAkbNw3eCDmuTrwE8J/9aU+CxOvQGhp54Fk2VVRagArLAbgMrcBOAjma338oMmgKhALe57b1gQIMflVfzg53Ka7c1yNs1Lu+Zq9LwyoKSVdkaTnaDc55x77rKieoNfFos0QqX8oMxO7Sn2ejqotKjer38e+3qdWqXcbuVHk+4o2t4g7G3FfNW/gVKRq+7Rap4u7q2+PTajwaRqhuaGXcdHFA9Qi/08Kf+1lgnA3sNY9nTDLsYXyuJ0J6s9EX+yaCTjvcir/q8eK244K2qGJUfHM2e60BXFCMKNvQ6PGxN+A18JM5+A69o75r/klOIuz5OVt/n9dVUMDT42DXqfnOY3N/if+N2mC8/oom8tf2Ws1u6F1/3XKWnR+V9rE7t6w8/LLcYsHeowlOKGCMhvoFitLtJ2GQQtCcFInSj2ZhsBOqGZa+WWFGUIrl1OC8YrYFtJKmLWkVXoalBlAVtCr2KUX8tq6uyenLwGKSuB4ZzkuJ+o7xA1IRj7xlfbVVWNSxVpGhpHJ1rBatAg+FsRqKljI3y4yvHjeu7jwVixFuC1fHXkel1ovA3e/JkGMrvdy0I6CL0e4j7N33TN30Ob08BA7praFjj6vMbdGjGmmK8Y2nm6ILZjrUBiBpUY0HLJ5DlfV8NXD05U3Vk0QhYkHEXYWxkWxORpCvQxD3Id+XUvLr1oLxUgNpAT+XlAsIbeDCGG2ypIS/fmW/X2bifwJ17ttS/YKkBncpVAwZ1IObMrmxJBqfG2O/LI3RB18Oadq43WGd86Id3+/zG+31BDX6/utA9bmDoOi6dC77029JYu+tqDuUFoGQvYNyYKwvjxWVX7lYDzkZ12R1HaVMngx1kG/1OBrx6zZifgg/VO/ikW1eeAAbeaCYa0Lo2HSC6gNfvOtfakYIw8nDX5waIZFxa9VEH92Zt99nsumfSt+nHORZ0xdr+n7zItu472xZ8D0vYk66cXyleH+mErt7jgwYCfGd/4+g6gFvHymE47I2Mxd3TKNPWA8aAxQbrnOWxsctwjlblC7xY/sdfBb59bOFbztiwx5zx6r4GI9c4tLv/HBf8oiz1Zgb3l7Np2xr9yZnDC0qV18fssmwkm1F9xIHYmMm5x7Jc20mmrl1hA0uvAvXK5Cq7VlEzfmIjbntLl31UYEjrFo7qkvHRMpPNdCqRbsDhBmSKyeg6erJ6WHa1VZP0ZWlnW4oMOR62pQtOaIYZDYuH/bUGsDH91fJo8rPvRv9VM00W4P/yQ2nbqpknp3Ztn9tmuHVf/3TIPl/wokGt0nU2e5/ZOoiXbFOU9TVfOsFvYPnr7P/ZP/tnX+e8vpYdhsH2uUzuxmEMqjPJINuAl2VYZXBVfDglff2uTHyv/b9+G5TZWGzjGE5hc7v/t3aMnH/iz6mlRJpi9lw6A0Eg4EdExiJUEa2ZRJ81eidzI9n6bqTYOC/oRFRKuYLMMLT/G30qEGoUtlF7iti99H0fd+FksEb5MLN7OaWUgu2etUZ+KfyWVgAiorujtxPSLlj3at99HhVAcp3aCWqBTyNM7l/ncv3bG7v3SituprXKG+26DjfCak7lof6+/NB1e+Lt+38BAaBj/HNov/Irv/Kl9Phpvwh61Vj1lMme/tdgCeBXQ44v6gAIFDSiWLBcp7Z8XfBaBVuFuP7qoAIvlFuDRnc9ylOUq0M2Wu54DXJPKUdjStTc6hjVyFzHbr9vRretCtbf0nXtBuBuBo/cFgQ83cdY3pp3M8Tlf/Ts2jf6DBw1aDHeGkCaodg+vVs6i+8v/9PLDQw0Q2icDbrVQb7rUbADpMjO453qvQKVOjY9ubnOW4Nh5d3q5joNxqo9ZctFjm9gAd1b2cPYT4fbM9bMvt93nXs/tAS2C5DrwBf01wnsi96sfiDv5nkDMHfudz3KF86YIEeX77uHky7oOl2ZwhN3S8uVizrJ1V3XofUyB+CNLW7bdwN11pQtKW/VPnGYfG88nOXdbzrNPkI2tkHqBmWt+97/lb/yV173fu76AX4BfTIluCvg5ARRoBDYsz4ynrOrlYmuVR1x4NSePweIsf83KOrzgs+u1xNveZTTlYHaVXNpuXVLj1vy2tOIAfJ9t7EL/vT05OqKltxWRq3T/hcUqM6Ba1zP+YXfvNzHo4O0BgIcwmN+6FwH8ik4UB5+2m/fhv8aXG5Qde932u5sxfhhDR7llOGnyiT+VCJerNNnku4a+6THs8rUl/xCvwb90ZjjeB+zJhkDH5e3y1f4Uf+tpBAwV72x97OTk7v6DXWmqhfQZH85221oM0e2+4gdrKS0uQ59AyzmO0eQIzk6T1/Z+7vfO1Bubb8RNCpO/gt/4S+8OsPVQZunR+A1qVdMjY819CxGsQa7Nx0vcEVPwhOb45x5ffZpLPiSXLTUv6eMNzj3iTm1/iIIwOYZd2WOZmosRAHTjUQ9vRppaqbCOPTf37TfCwaq5K7zWjBexatdpdgIN0VXJ64GuEDnCk+j7nWK1jDbNRg3W1HHArigPK8zJ0J0nYCnaE/H7HMKyNz7LK8KBkFopJpxYpQZyQLRrnuj/zczcPnkKZCBdm+t6R+nmf/mupO+d2ri+L6GDG0ala3RusDPX7yj1KoGDs0LbgE+NKmzVaeHg/rk1NZI+NxvahRL6/u7gk7916GlI3oitvlf2uJdYEU1QAMwmrnfOdS5rZP1tOb9TZ2S/qaAv5lT11Y+rj7rPK/ufHJy35pDdVi/7xqMTjOCAyuee91xXUdrraVBneNTe9KtN7pPZivHDdho13i6TuPUdtzVg9bkgpyr90vz6rKuh7H1RPXOozoVj3vGYfcb6vMJlPazp2xxndmnoEbn6z4d4w1CPLXqCfbyiRbGy8GqTa+efQpClu59ATledXivHOm/wbGrr/pdwc7eN0vTJhvrvA06rsEctgaApZsbBNw1AKO96g1ycELZVeC/NBvAl3lyKIpApwNlrAHelM3cdZ6XXcANQ3BWK2P6r0MKCLeiprrN74tXbjDtrvtt97FtrqNfjbsOjf3KFytx3jk6Mk6tAsMDnNPaFCW3BcmX54ofBBb0qRXb+F3pVBre4EsPV6sevzR6kiny6bfVf0/X4uG9umVmfyUUKivWG12KqWFaWK6yfYOZ+BU/CxSZO/xXOuhzn3V7UjFory/WQm/0tNaCN/CUuXKsqlduVlp/19klb7fhD8EBehb/cVTxT6tK91vB32LJYiVzFvhvMlHikAx/8Ye07zkz1S8CRaVb6StxRWfbY18ba50bgPUbPGL8tkjsfX2EYq5maN23TvINkH7sB0U1CrybL7ogAnAd0p6c2X2z19H0+TXwNfzNUlSxtC/KrVGWKpmWjNRxqCErk78QKNGOZparWGRrZRco8467Y2nUm6Gv4rL4rr2CVIFpifY1OhQ+4zVjWjDhN91jsdZytYIZdNNaplAnqA5A97wY7z4XdRKZtd6MhPXRBC+aEe53FcYqI/Qyhi9EQJ4APLooJ9mpcot4NoKIZt0Xbn06pgvoW1rVU58pq0ZBKVDrUEDTjJHrOIYMSwFK6YLm+LK/aWDggpsrTzXUjdwCs/jiOlAyQ8rfGED8QjmiS2URSOEIoGcj8G851B3vk4NEgdchMP4awxtYQ/uuvVYjcgMeDVSVT6vjgI81/49+O8FxFR4OHuk6PPE8g9jHl1R+aliAvM5PwKagqQ6HCpXZB3pOfy1dvKVd3ZPEmOO5AtCbub+OVmWuDpb/gSglV8q6GpwhB94rpWum7SmYUSBc2nfdS986bnUcr60rj5eXOvfr4Hdt76mwvScHiw6y/65nQeDRtcvbBbzXBrNrAtudY8eLDuaJD25gretSG2Wfc+m/pnzZ+QdsRrc6tMLD9YDsHIE6ti3j8yQF2Ys6u/i+9PC4DyAUEG+FT6uiNl6VVpvn5jAe7NatBg+qk/GXU1/ddxmU9VHbX73ld+jSNTCPvr88t9ZH4BhjKzaenFqZwGIa2GJBu73WjwOE1sfobD+uRwT5vPyIx4uvjL9B3dryjp28N7hWXag1qIB2NwhduvlNMcfFINZW9vHup66uYR/xUTNf+85hrGur6kFjvACvGzNM0O/Ie211g4KCL4IxDdT6TkKkAc8GmYpRahP1BRdVh/YRWcavcgMG3m/IU53XZgdrV7qunLhLc1l667T+lw128Fn33G9sK6veZ8uWe0qMIA2eajLAwXS7/yo9+lir2so/9+f+3CuW2Hv6AE/YLjEdgsa1605g3nj2eycwq8Tlxwka0MMO6q2d33XKkos3Lr3RVVDOdeT+8vjHvqcWyPjyL//yD77sy77sZU8hJ2Xp9xptC72BLwIpsl2HzkSuA1NQ7m9BNGVbgOf7G3GucqzCqYAQaKUt7snBEGm4e4DbXxXSdc71XYHoM5oo9kbkLby5rlHQjEyZw3t0cBoixpOd3bUzDq5bdqen33Eg+8zQ/V65hjWagrA+okgYWBlJHx8w44+2jahxZmT9u2aMIJBQMIcW5anrWFG4BetfCJ9bA0pO/zOmKz0e/+89PiHwFVKRLk7DFIP+leC0mgGAYUCvI9iAR6sM1u6+6Tom7nUdJmOlaC+orlN7ebrORb+v3FBQ9nXjlTqkmr0ZACK6d29OAXkNHcXdhrYF+XVIrWe/uzxQQO7VsdWRuEGyrg1DWICyBnAwLqVJebZl+v52bRmqX/u1X3vZw0JGtd674/JYtentjr+HjDQT1PIrBoeub+Cj0dqCa6VzlZcbwKxja74i4GTFvcuzNxhZfnDSO9o3ugxM0MXoQ9/0lHxlW54pKQuCxv37FETwvfs0Wt4ycPp8L45BHVdr0tfl/6sb9GddCsyrrxq8atCzQeXanfJX7W5tOJ1OJ1wHtc4R/rZGta9tDWL5f+N0quiVZ/Iuy4pu3f5SZ3zry35tD+JA6u63oJFAze4haNsy7epMNPf7O1/BFLxZh6sVZezCxiQ4zT7OFqnKggtgL7Rkm2EguKYBC/aF3uxvNz9l0hvH5tNTSav/NY5D1wLfNzjZzJPHJXnEB95D272mr/bdZFdmuwkLvEN/0J9KllUV0un4ozYVT9fu9R7lu41ltFDyqpLjOljmb31k651CfYOprm8AwXcCfx+FaTgd9Dz+RosFV8x7em22w75ypxVXhltxU7yLd7tP2W+bSbSGo4tD0W51TMt7q9Oq965T1BJvJer6FIDc+zmD45ddtwM+Zy/xc9e6dL70bXZYW3/DuPVjNr/xKZxsvff5tq3JHNtPTLewe/DO1mU6bZ/ZX+y5tRvbvldKPHn7kg8DCfo15umrBbLoefekp4rd6YLdr/JRWaitVyq9rXjTRQuuj4/s6RWkWnWjpzLs+/Hb1mOvjU0CaHzJP6k++kScWkpvhB9TbHEG8LcAWxD7TTBD91BhNobqZm7LPIQPqL1OSg1vwatX/28avoa64P5GDQu8gK86n+7fPYA14pjgjlt/dcj6WnNdaaE/zT1d7zogslFvfRmj9ZBVpmD1AaRegMJJRitCQCk1ir0mcmMNerAVfugenSqKKrNmSEQmn6KYPWXxLb7qd7ddo3EdVcB7By2M9zlqXTNgsb+9tALuGBfr2n1YnWOzg/pHlxpXJbsdg7lfh7VrbX2bJWzm6Jb+la/du++bEWqk8fJ4edt8gJOWHAu2lLfMtxF4PNPPGMHyQ8dwy7Ke5K3gp7J7I7rlSd/dIFdB+uW5rsv9/65B6U6WZlQXdben5/J+nU5tPLzG2HX9ruF+kg/zERFvIKJ9PIEF+qX8Uho+Hf6FJ1redvlaa3agjdytCWB6kfELdOmpOrqd7x+noVn1f8G4ygzftSyrGW0OdW1h71Fa3pLBBmS6nnWoqxsA0BsQfgqWdC0a9KXfyOblz97vylTXsXb8Sf5kZJr9sda7976XzaA/G0jm5FoneskzYwccYZnJGv4EugUQuycQ796g4No9+bbrJQlADgSKXdP1dx9B1GtfOb3e12Fea+DprmfLZ9Edze77tjos1QXN0Jh76QWYN4HR328sgkpAtbW07nSDsZsjO8mulIYXV9SxJ5u1u+am9LwBerqiyYfaZBVtAvjNEtcWdWtIg6Oue0tPm0cxTGXd3zkUbIaMt0RCkyWVV3oYf7xVrWLtuv7mXD1fm9btDtVRDTj6XXF819p7/C87P7nX/3Dc08nct5Ufrq7TKge+h/caZOkeeePeFrYGrcsvbDt+3bVzNGe39zgoDiP8y55/8YcBIrip2Mx8nnDLDfIIPlweJbv4b/N0EFhpTx7dwxriJXMjZ9XhZAzNrz7/qPYFXVlBkVqfV75M7bxqpw024rzWaPpejcL0UIQ+47BKt8LQcsiWgz2VIdXw6bfKhKHt5y1D4hy0P79tfx6ajrkYQ/O4TsSTUbs0dm0/FyXEjJh//4tkVPG57z6/2dY6Du27mZoxMiGwpja4Az6yQwTX2og6EjCZFnzAwAAAjZQzrAXxBZIiPk9r28/9rYNQJXkd3bWCwmanmmEcLWcEplzMa32ZX/mxVQGbl1Op7Ruq0CpTa1YegMGbDMcttykQ0oe1wy81xuWxyrWytK5lQWkd6PJmFWTvy/CJntYhNA6AzhoBKz1grkEt+oeS5TQD+F6e99jnYfeajr/Z24IOtL3BAmDEmI2t0cRm7+pE1wgAw3RKsxGVibVmKS+o2hznlC46ulIhfFbnrPLwBDzxqHGoEpCpuqCy4+rakC8ZEWuO9s0w1hm7OruAsfSo4aujYK6VB2OlJ5rpbB81xMpWZROcaiv7J2oui4EHroPm3nigur6BrOoLfRlLHcDKVA+KAcwvsK1tLXC/43sC8kBqWzM0eL1zsna1eRfgVZdYy87dWl3HAYZoRrDZ8/LIXp7FKPt5g0X73umsDQwIdtSON2C+bO3s4nCP+To5Vann/ldN1L2F9LjsXe31+hpfsXn0C7sAhyhPdn0DLZN/4HP32DhUN7ifA6FkiNava/be85bZnwZP2bauQ+1tgy+lOUwhA9PgQW1jsR15Ks9eh6z4Z2OQFYIxAOruSWZj9z/byuGrfqic4D06qQ5T+Rld0Umm1jpptcd0CJnW/w1IX3149Y7W9brfw2S10w0C2B40G9Jge52+8itcZi4CLbUtd7zuWZreQFsx8nXOG/xbmw/SPawy5UqN6e7da5hNdtO9Obg3AHjtI1t616M0b/JOMGrVPHhr42ET7Ye3J35O6k7Brv5Cb7w8mu13sOfe//t//+9fKyc5teT/z2QfvzN12OfKXfFL19gclqhUwQSbVdfXvqwfPG8e3TvNz0AjPNRzdYxv9+1a1CY9BR5u+zP/9Qu46nd+53c++Iqv+IrP29l7e2/v7b29t/f23t7b/wjtx3/8xz/43u/93v/ew/h/VXun+Z98e6f5n3x7p/mffJszvxLn/2andp7yf/gP/+F1c/F7+2TblmQZgbVFct5p/sm3d5r/ybd3mv/Jt3ea/8m3d5r/96H5Mhlf+qVf+pKBescun3x7p/mffHun+Z98e6f5fz+ab1/urUz6f+TUvrf39t7e23t7b+/tvb239/be3tt7e2//I7aPdnnf23t7b+/tvb239/be3tt7e2/v7b29t/+B27tT+97e23t7b+/tvb239/be3tt7e2/v7U9te3dq39t7e2/v7b29t/f23t7be3tv7+29/alt707te3tv7+29vbf39t7e23t7b+/tvb23P7Xt3al9b+/tvb239/be3tt7e2/v7b29t/f2p7a9O7Xv7b29t/f23t7be3tv7+29vbf39t7+1LZ3p/a9vbf39t7e23t7b+/tvb239/be3tsHf1rb/wX5TGyErfM+KgAAAABJRU5ErkJggg==", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Select 100 faces randomly for visualization\n", + "np.random.seed(0) # Ensure reproducibility\n", + "X_samples = np.random.permutation(X)[:100]\n", + "\n", + "# Plot the selected faces\n", + "fig, axes = plt.subplots(10, 10, figsize=(12, 12))\n", + "fig.subplots_adjust(hspace=0.01, wspace=0.01)\n", + "\n", + "for i, ax in enumerate(axes.flat):\n", + " ax.imshow(X_samples[i].reshape((64, 64)), cmap='gray')\n", + " ax.set_xticks(())\n", + " ax.set_yticks(())\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "PUA2EZuRj74Y" + }, + "source": [ + "## Step 2: Apply PCA on the Dataset\n", + "### Task\n", + "* Implement PCA on the dataset.\n", + "* Visualize the variance explained by each principal component." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "XYP3aB2kj5I2" + }, + "outputs": [], + "source": [ + "# Import PCA from sklearn\n", + "from sklearn.decomposition import PCA\n", + "\n", + "# Apply PCA on the dataset (leave number of components blank)\n", + "pca_digits = PCA()\n", + "PC_dig1 = pca_digits.fit_transform(X)\n", + "# PC_dig1.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "YgnaRmpUk4QN" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Visualize the variance explained by each principal component\n", + "plt.figure(figsize=(8, 4))\n", + "plt.plot(np.cumsum(pca_digits.explained_variance_ratio_))\n", + "plt.xlabel('Number of Components')\n", + "plt.ylabel('Cumulative Explained Variance')\n", + "plt.grid(True)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BlQKLq9WkNQm" + }, + "source": [ + "## Step 3: Elbow Method for Optimal Components\n", + "### Task\n", + "* Plot the cumulative explained variance against the number of components.\n", + "* Use the elbow method to determine a good number of components for PCA." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "sDmoIc1vkLvk" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(12, 6))\n", + "n = pca_digits.explained_variance_ratio_.shape[0]\n", + "plt.bar(np.arange(n), pca_digits.explained_variance_ratio_)\n", + "# Plot the cumulative explained variance against the number of components\n", + "plt.plot(np.cumsum(pca_digits.explained_variance_ratio_))\n", + "plt.xlabel('Number of Components')\n", + "plt.ylabel('Cumulative Explained Variance')\n", + "plt.title('Elbow Method for Optimal PCA Components')\n", + "plt.axhline(y=0.95, color='r', linestyle='--') # Example threshold line at 95% variance\n", + "plt.grid(True)\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "pca_digits 1, explained var: 23.81\n", + "pca_digits 21, explained var: 77.03\n", + "pca_digits 41, explained var: 85.33\n", + "pca_digits 61, explained var: 89.29\n", + "pca_digits 81, explained var: 91.84\n", + "pca_digits 101, explained var: 93.61\n", + "pca_digits 121, explained var: 94.93\n", + "pca_digits 141, explained var: 95.94\n", + "pca_digits 161, explained var: 96.74\n" + ] + } + ], + "source": [ + "total_var = np.cumsum(pca_digits.explained_variance_ratio_) * 100\n", + "\n", + "for i in [0, 20, 40, 60, 80, 100, 120, 140, 160]:\n", + " print(\"pca_digits {:2d}, explained var: {:.2f}\".format(i+1, total_var[i]))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8T7q895qkUCv" + }, + "source": [ + "## Step 4: Image Reconstruction\n", + "### Task\n", + "* Reconstruct images using the selected number of PCA components.\n", + "* Plot original and reconstructed images side-by-side." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "id": "l03zl7FokShR" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(400, 100)\n" + ] + }, + { + "data": { + "text/plain": [ + "(400, 4096)" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pca_n = PCA(100)\n", + "PC_dig2 = pca_n.fit_transform(X)\n", + "print(PC_dig2.shape)\n", + "X_reconstructed = pca_n.inverse_transform(PC_dig2)\n", + "X_reconstructed.shape\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "id": "qCrtd8K2lIHL" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plot original and reconstructed images side-by-side\n", + "fig, axes = plt.subplots(2, 5, figsize=(12, 6))\n", + "for i in range(5):\n", + " # Original Image\n", + " ax = axes[0, i]\n", + " ax.imshow(X[i].reshape(64, 64), cmap='gray')\n", + " ax.set_xticks(())\n", + " ax.set_yticks(())\n", + " ax.set_title(\"Original\")\n", + "\n", + " # Reconstructed Image\n", + " ax = axes[1, i]\n", + " ax.imshow(X_reconstructed[i].reshape(64, 64), cmap='gray')\n", + " ax.set_xticks(())\n", + " ax.set_yticks(())\n", + " ax.set_title(\"Reconstructed\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "vQrctueSkcR9" + }, + "source": [ + "## Step 5: Compare Models\n", + "### Task\n", + "* Train a model using the original dataset and the PCA-reduced dataset.\n", + "* Compare the performance of the two models." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "id": "cNS0IT9lkfDD" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Accuracy with original data: 0.9416666666666667\n", + "Accuracy with PCA-reduced data: 0.95\n" + ] + } + ], + "source": [ + "from sklearn.model_selection import train_test_split\n", + "# your ML model\n", + "from sklearn.linear_model import LogisticRegression\n", + "from sklearn.metrics import accuracy_score\n", + "\n", + "# Split the data into training and testing sets\n", + "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3, random_state=42)\n", + "\n", + "# Train a model on the original dataset\n", + "model_original = LogisticRegression(max_iter=1000)\n", + "model_original.fit(X_train, y_train)\n", + "y_pred_original = model_original.predict(X_test)\n", + "accuracy_original = accuracy_score(y_test, y_pred_original)\n", + "\n", + "# Train a model on the PCA-reduced dataset\n", + "X_train_pca, X_test_pca = pca_n.transform(X_train), pca_n.transform(X_test)\n", + "model_pca = LogisticRegression(max_iter=1000)\n", + "model_pca.fit(X_train_pca, y_train)\n", + "y_pred_pca = model_pca.predict(X_test_pca)\n", + "accuracy_pca = accuracy_score(y_test, y_pred_pca)\n", + "\n", + "# Print the accuracy of both models\n", + "print(f\"Accuracy with original data: {accuracy_original}\")\n", + "print(f\"Accuracy with PCA-reduced data: {accuracy_pca}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "brddJjygkiFu" + }, + "source": [ + "## Conclusion\n", + "In this assignment, you've learned how to apply PCA on image data, how to choose the number of components, and the effects of PCA on image reconstruction and model performance. This exercise helps in understanding the balance between data reduction and information retention, which is crucial in many machine learning applications.\n", + "\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a12/assignment_12_03_02_dimensionality_reduction___nexus___aminran.py b/a0.1/a12/assignment_12_03_02_dimensionality_reduction___nexus___aminran.py new file mode 100644 index 0000000..bd24019 --- /dev/null +++ b/a0.1/a12/assignment_12_03_02_dimensionality_reduction___nexus___aminran.py @@ -0,0 +1,172 @@ +# -*- coding: utf-8 -*- +"""Assignment 12. 03.02. Dimensionality Reduction | Nexus | aminran.ipynb + +Automatically generated by Colab. + +Original file is located at + https://colab.research.google.com/drive/1nb4E7feWT1PuOYYzmVncmjYrYx7a25vU + +# PCA on Olivetti Faces Dataset +## Overview +In this assignment, we explore Principal Component Analysis (PCA), a fundamental technique in machine learning for dimensionality reduction and feature extraction. We'll apply PCA to the Olivetti faces dataset to understand how it can be used to compress and reconstruct images. + +## Objectives +1. Load and visualize the Olivetti faces dataset. +2. Perform PCA to reduce the dimensionality of the dataset. +3. Determine the optimal number of components using the elbow method. +4. Visualize the effect of PCA on image reconstruction. +5. Compare the performance of a model trained on the original dataset versus the PCA-reduced dataset. + +## Prerequisites +Basic understanding of Python and NumPy. +Familiarity with matplotlib for plotting. +Basic knowledge of machine learning concepts, especially PCA. + +## Step 1: Load and Visualize the Dataset +""" + +# Import necessary libraries +from sklearn.datasets import fetch_olivetti_faces +import numpy as np +import matplotlib.pyplot as plt + +# Load the Olivetti faces dataset +faces = fetch_olivetti_faces() +X, y = faces['data'], faces['target'] + +# Print the shape of the dataset +print(X.shape) + +# Select 100 faces randomly for visualization +np.random.seed(0) # Ensure reproducibility +X_samples = np.random.permutation(X)[:100] + +# Plot the selected faces +fig, axes = plt.subplots(10, 10, figsize=(12, 12)) +fig.subplots_adjust(hspace=0.01, wspace=0.01) + +for i, ax in enumerate(axes.flat): + ax.imshow(X_samples[i].reshape((64, 64)), cmap='gray') + ax.set_xticks(()) + ax.set_yticks(()) +plt.show() + +"""## Step 2: Apply PCA on the Dataset +### Task +* Implement PCA on the dataset. +* Visualize the variance explained by each principal component. +""" + +# Import PCA from sklearn +from sklearn.decomposition import PCA + +# Apply PCA on the dataset (leave number of components blank) +pca = PCA() +X_pca = pca.fit_transform(X) + +# Visualize the variance explained by each principal component +plt.figure(figsize=(8, 4)) +plt.plot(np.cumsum(pca.explained_variance_ratio_)) +plt.xlabel('Number of Components') +plt.ylabel('Cumulative Explained Variance') +plt.grid(True) +plt.show() + +"""## Step 3: Elbow Method for Optimal Components +### Task +* Plot the cumulative explained variance against the number of components. +* Use the elbow method to determine a good number of components for PCA. +""" + +# YOUR CODE HERE +# Plot the cumulative explained variance against the number of components +plt.figure(figsize=(8, 4)) +plt.plot(np.cumsum(pca.explained_variance_ratio_)) +plt.xlabel('Number of Components') +plt.ylabel('Cumulative Explained Variance') +plt.title('Elbow Method for Optimal PCA Components') +plt.axhline(y=0.95, color='r', linestyle='--') # Example threshold line at 95% variance +plt.grid(True) +plt.show() + +"""## Step 4: Image Reconstruction +### Task +* Reconstruct images using the selected number of PCA components. +* Plot original and reconstructed images side-by-side. +""" + +# YOUR CODE HERE for "Reconstruction": use "X_reconstructed" + +X_reconstructed = pca.inverse_transform(X_pca) + + +np.random.seed(0) # Ensure reproducibility +X_samples = np.random.permutation(X_reconstructed)[:100] + +# Plot the selected faces +fig, axes = plt.subplots(10, 10, figsize=(12, 12)) +fig.subplots_adjust(hspace=0.01, wspace=0.01) + +for i, ax in enumerate(axes.flat): + ax.imshow(X_samples[i].reshape((64, 64)), cmap='gray') + ax.set_xticks(()) + ax.set_yticks(()) +plt.show() + +# Plot original and reconstructed images side-by-side +fig, axes = plt.subplots(2, 5, figsize=(12, 6)) +for i in range(5): + # Original Image + ax = axes[0, i] + ax.imshow(X[i].reshape(64, 64), cmap='gray') + ax.set_xticks(()) + ax.set_yticks(()) + ax.set_title("Original") + + # Reconstructed Image + ax = axes[1, i] + ax.imshow(X_reconstructed[i].reshape(64, 64), cmap='gray') + ax.set_xticks(()) + ax.set_yticks(()) + ax.set_title("Reconstructed") + +plt.tight_layout() +plt.show() + +"""## Step 5: Compare Models +### Task +* Train a model using the original dataset and the PCA-reduced dataset. +* Compare the performance of the two models. +""" + +# YOUR CODE HERE +from sklearn.model_selection import train_test_split +# your ML model +from sklearn.svm import SVC +from sklearn.metrics import accuracy_score + +# Split the data into training and testing sets +X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3, random_state=42) + +# Train a model on the original dataset +model_original = SVC() +model_original.fit(X_train, y_train) +y_pred_original = model_original.predict(X_test) +accuracy_original = accuracy_score(y_test, y_pred_original) + +# Train a model on the PCA-reduced dataset +X_train_pca, X_test_pca = pca.transform(X_train), pca.transform(X_test) +model_pca = SVC() +model_pca.fit(X_train_pca, y_train) +y_pred_pca = model_pca.predict(X_test_pca) +accuracy_pca = accuracy_score(y_test, y_pred_pca) + +# Print the accuracy of both models +print(f"Accuracy with original data: {accuracy_original}") +print(f"Accuracy with PCA-reduced data: {accuracy_pca}") + +"""## Conclusion +In this assignment, you've learned how to apply PCA on image data, how to choose the number of components, and the effects of PCA on image reconstruction and model performance. This exercise helps in understanding the balance between data reduction and information retention, which is crucial in many machine learning applications. + + +""" \ No newline at end of file diff --git a/a0.1/a13/Assignment_13_03_03_Recommender_Systems___Nexus___rsayyareh.ipynb b/a0.1/a13/Assignment_13_03_03_Recommender_Systems___Nexus___rsayyareh.ipynb new file mode 100644 index 0000000..33eb1ba --- /dev/null +++ b/a0.1/a13/Assignment_13_03_03_Recommender_Systems___Nexus___rsayyareh.ipynb @@ -0,0 +1,270 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "ML_Asy5rAlzn" + }, + "source": [ + "# Assignment 7: Movie Recommender\n", + "\n", + "**Objective**: Develop two recommender systems, one based on collaborative filtering using matrix factorization and another based on a content-based approach using multiple features of the data.\n", + "\n", + "## Your major tasks are:\n", + "1. Describing the dataset in detail.\n", + "2. Preparing dataset ready for the models\n", + "3. Training Matrix Factorization as oen methods of Collaborative Filtering\n", + "4. Training Content-based model\n", + "5. Discuss the result of the models with one or two example of recommendation." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "Q_pP7ea9BUMK" + }, + "outputs": [], + "source": [ + "# Import necessary Libraries for dataframes, arrays, and train_test_split\n", + "\n", + "import pandas as pd\n", + "from sklearn.model_selection import train_test_split\n", + "\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\")\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "lIYdn1woOS1n" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(100000, 25)\n" + ] + } + ], + "source": [ + "# Load the data\n", + "# ratings_url = 'http://files.grouplens.org/datasets/movielens/ml-100k/u.data'\n", + "# movies_url = 'http://files.grouplens.org/datasets/movielens/ml-100k/u.item'\n", + "ratings_url = 'E:/Nexus/Nexus_Assignments/Assignments/a13/u.data'\n", + "movies_url = 'E:/Nexus/Nexus_Assignments/Assignments/a13/u.item'\n", + "# remember that you have to search about this famous dataset\n", + "\n", + "ratings = pd.read_csv(ratings_url, sep=None, names=['user_id', 'movie_id', 'rating', 'timestamp'])\n", + "\n", + "# Load the movies data\n", + "movies = pd.read_csv(movies_url, sep='|', header=None, encoding='latin-1')\n", + "\n", + "# Define the correct column names (adjust based on actual data format)\n", + "movies.columns = ['movie_id', 'title', 'release_date', 'video_release_date',\n", + " 'IMDb_URL', 'unknown', 'Action', 'Adventure', 'Animation',\n", + " 'Children', 'Comedy', 'Crime', 'Documentary', 'Drama', 'Fantasy',\n", + " 'Film-Noir', 'Horror', 'Musical', 'Mystery', 'Romance', 'Sci-Fi',\n", + " 'Thriller', 'War', 'Western']\n", + "\n", + "# Drop unnecessary columns if needed\n", + "movies = movies.drop(['video_release_date', 'IMDb_URL'], axis=1)\n", + "\n", + "# Merge datasets\n", + "data = pd.merge(ratings, movies, on='movie_id', how='inner')\n", + "print(data.shape)\n", + "\n", + "# Train-test split with 80% train share\n", + "train_data, test_data = train_test_split(data, test_size=0.2)\n", + "\n", + "# Aggregate the data to avoid duplicates\n", + "train_data_grouped = train_data.groupby(['user_id', 'movie_id']).agg({'rating': 'mean'}).reset_index()\n", + "\n", + "# Create the user-item matrix\n", + "train_matrix = train_data_grouped.pivot_table(index='user_id', columns='movie_id', values='rating').fillna(0)\n", + "\n", + "# For the test matrix, you might need to repeat the same process\n", + "test_data_grouped = test_data.groupby(['user_id', 'movie_id']).agg({'rating': 'mean'}).reset_index()\n", + "test_matrix = test_data_grouped.pivot_table(index='user_id', columns='movie_id', values='rating').fillna(0)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "TUijmaxI_6Qs" + }, + "outputs": [ + { + "data": { + "image/png": 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oAgAACPXQNHXqVKlYsaJ3SKtmzZry9ddfe1/Xewlpd5nv45VXXvHbx6lTp8yKsNpllzt3bunbt2+C9yaqUqWKREVFSfHixWX27Nm3HcuUKVOkSJEikiFDBqlRo4Zs27bNwZoDAAC3SdHQpLPUdfn7nTt3yo4dO6ROnTrSrFkzOXDggLdMly5d5PTp097HmDFjvK/FxsaawHTjxg3ZvHmzzJkzxwSiIUOGeMucOHHClKldu7bs2bNHevXqJZ07d5bo6Ghvmfnz50ufPn1k6NChsmvXLqlUqZI0bNhQzp07dxfPBgAACGUpGpqaNm0qjRs3lhIlSkjJkiXlnXfekSxZssjWrVu9ZbQHKW/evN6H7yRrnUV/8OBB+eyzz6Ry5crSqFEjGTlypOk10iCl9GaORYsWlXHjxkmZMmWkR48e8swzz8iECRO8+xk/frwJZx06dJCyZcuan9HfO3PmzLt8RgAAQKgKmavntNdo4cKFcuXKFTNMZ/n8889NKNLApCFr8ODBJtCoLVu2SIUKFSRPnjze8tpD1K1bN9Nb9eCDD5oyeldsX1pGe5yUhivt6Ro4cKD3dV3cSn9GfzYxMTEx5uF7yaI1u18fwWTtL9j7DRXUz/3CvY7hXr/UUEfq5343HapjIPtL8dC0b98+E5KuX79uepmWLFlientUmzZtpHDhwmaVzr1790r//v3lyJEjsnjxYvP6mTNn/AKTsp7ra0mV0ZBz7do1uXDhgglsCZU5fPhwosc9atQoGT58+G3btffLCnXBtnr1agln1M/9wr2O4V6/1FBH6ud+q4Ncx6tXr7onNJUqVcrMNbp06ZIsWrRI2rdvLxs3bjTBqWvXrt5y2qOUL18+qVu3rhw7dkyKFSuWosetPVM6Dyr+4li66JYT6zTpm6R+/fphuf4G9XO/cK9juNcvNdSR+rnfTYfqaI0UuSI0pU+f3lzRpqpWrSrbt2+XSZMmyccff3xbWb2qTR09etSEJh2yi3+V29mzZ81Xfc36am3zLaPBJmPGjBIZGWkeCZWx9pEQvRJPH/FpQzr1hnVy36GA+rlfuNcx3OuXGupI/dwvXZDrGMi+IkLxxre+c4V8aY+U0h4npcN6Orzne5WbplANRNYQn5ZZu3at3360jDVvSkObhjXfMnoM+tx3bhUAAEjd0qb0EJde8VaoUCFzh+G5c+eaNZV0OQAdgtPnenVdzpw5zZym3r17yxNPPGHWdlI6FKbhqG3btmYpAp2/NGjQIOnevbu3F0jXdZo8ebL069dPOnbsKOvWrZMFCxbI8uXLvcehw2w6LFitWjWpXr26TJw40UxI16vpAAAAUjw0aQ9Ru3btzPpL2bJlM2FIA5OOV+qNb9esWeMNMDpfqGXLliYUWXRYbdmyZeZqOe0Vypw5swk/I0aM8JbR5QY0IGng0mE/XRtq+vTp5go6S6tWreT8+fNmfScNXrp8wcqVK2+bHA4AAFKvFA1NM2bMSPQ1DUk6IfxO9Oq6FStWJFlGVxbfvXt3kmV0/SZ9AAAAuGJOEwAAQCgiNAEAALhhyQEAACxFBvzfRTrBFBXpkTHVRcoPi5aY2DRB3fdP7zUJ6v4QuuhpAgAAsIHQBAAAYAOhCQAAwAZCEwAAgA2EJgAAABsITQAAADYQmgAAAGwgNAEAANhAaAIAALCB0AQAAGADoQkAAMAGQhMAAIANhCYAAAAbCE0AAAA2EJoAAABsIDQBAADYQGgCAACwgdAEAABgA6EJAADABkITAACADYQmAAAAGwhNAAAANhCaAAAAbCA0AQAA2EBoAgAAsIHQBAAAYAOhCQAAwAZCEwAAgA2EJgAAABsITQAAADYQmgAAAGwgNAEAANhAaAIAALCB0AQAAGADoQkAAMAGQhMAAIANhCYAAIBQD01Tp06VihUrStasWc2jZs2a8vXXX3tfv379unTv3l1y5swpWbJkkZYtW8rZs2f99nHq1Clp0qSJZMqUSXLnzi19+/aVW7du+ZXZsGGDVKlSRaKioqR48eIye/bs245lypQpUqRIEcmQIYPUqFFDtm3b5mDNAQCA26RoaCpQoIC89957snPnTtmxY4fUqVNHmjVrJgcOHDCv9+7dW7766itZuHChbNy4UX799Vdp0aKF9+djY2NNYLpx44Zs3rxZ5syZYwLRkCFDvGVOnDhhytSuXVv27NkjvXr1ks6dO0t0dLS3zPz586VPnz4ydOhQ2bVrl1SqVEkaNmwo586du8tnBAAAhKoUDU1NmzaVxo0bS4kSJaRkyZLyzjvvmB6lrVu3yqVLl2TGjBkyfvx4E6aqVq0qs2bNMuFIX1erVq2SgwcPymeffSaVK1eWRo0ayciRI02vkQYpNW3aNClatKiMGzdOypQpIz169JBnnnlGJkyY4D0O/R1dunSRDh06SNmyZc3PaM/VzJkzU+zcAACA0BIyc5q012jevHly5coVM0ynvU83b96UevXqecuULl1aChUqJFu2bDHP9WuFChUkT5483jLaQ3T58mVvb5WW8d2HVcbah4Yr/V2+ZSIiIsxzqwwAAEDalD6Affv2mZCk85e0l2nJkiWmt0eH0tKnTy/Zs2f3K68B6cyZM+Z7/eobmKzXrdeSKqPB6tq1a3LhwgUT2BIqc/jw4USPOyYmxjwsuj+lQU8fwWTtL9j7DRXUz/3CvY7hXr9QqmNUpMeZ/UZ4/L4GU0qfM99jCIVjcVsdA9lfioemUqVKmYCkw3GLFi2S9u3bm/lLoW7UqFEyfPjw27brkKEO7Tlh9erVEs6on/uFex3DvX6hUMcx1Z3d/8hqcUHf54oVKyRUpHT7ubGOV69edU9o0t4kvaJN6byl7du3y6RJk6RVq1Zm6OzixYt+vU169VzevHnN9/o1/lVu1tV1vmXiX3Gnz/VqvYwZM0pkZKR5JFTG2kdCBg4caCaP+/Y0FSxYUBo0aGD2HewUrG+S+vXrS7p06STcUD/3C/c6hnv9QqmO5Yf930U6waQ9TBqYBu+IkJi4NEHd9/5hDSWlhUr7ubGO1kiRK0JTfHFxcWbYSwOUnpS1a9eapQbUkSNHzBIDOpyn9KtOHter3HS5AaUnVEOLDvFZZeL/K0DLWPvQ0Ka/S39P8+bNvcegz3XSeGJ0+QJ9xKfH7NQb1sl9hwLq537hXsdwr18o1DEmNo2z+49LE/TfEUrviZRuPzfWMZB9pWho0t4aveJNJ3f/8ccfMnfuXLOmki4HkC1bNunUqZPpzcmRI4cJQq+++qoJOw8//LD5ee3V0XDUtm1bGTNmjJm/NGjQILO2kxVoXnnlFZk8ebL069dPOnbsKOvWrZMFCxbI8uXLvcehv0OHBatVqybVq1eXiRMnmgnpejUdAABAiocm7SFq166dnD592oQkXehSA5N2vSldFkCvZNOeJu190qvePvroI+/P67DasmXLpFu3biZMZc6c2YSfESNGeMvocgMakHTNJx3207Whpk+fbvZl0aHA8+fPm/WdNHjp8gUrV668bXI4AABIvVI0NOk6TEnR1bl1zSV9JKZw4cJ3nIRXq1Yt2b17d5JldCguqeE4AACQuoXMOk0AAAChjNAEAABgA6EJAADABkITAACADYQmAAAAGwhNAAAANhCaAAAAbCA0AQAA2EBoAgAAsIHQBAAAYAOhCQAAwAZCEwAAgA2EJgAAABsITQAAADYQmgAAAGwgNAEAANhAaAIAALCB0AQAAGADoQkAAMAGQhMAAIANhCYAAAAbCE0AAAA2EJoAAABsSGunEABApPywaImJTSNu8dN7TVL6EICwQk8TAACADYQmAAAAGwhNAAAANhCaAAAAbCA0AQAA2EBoAgAAsIHQBAAAYAOhCQAAwAZCEwAAgA2EJgAAABsITQAAADYQmgAAAGwgNAEAANhAaAIAALCB0AQAAGADoQkAAMAGQhMAAECoh6ZRo0bJQw89JPfcc4/kzp1bmjdvLkeOHPErU6tWLUmTJo3f45VXXvErc+rUKWnSpIlkypTJ7Kdv375y69YtvzIbNmyQKlWqSFRUlBQvXlxmz5592/FMmTJFihQpIhkyZJAaNWrItm3bHKo5AABwmxQNTRs3bpTu3bvL1q1bZfXq1XLz5k1p0KCBXLlyxa9cly5d5PTp097HmDFjvK/FxsaawHTjxg3ZvHmzzJkzxwSiIUOGeMucOHHClKldu7bs2bNHevXqJZ07d5bo6Ghvmfnz50ufPn1k6NChsmvXLqlUqZI0bNhQzp07d5fOBgAACGVpU/KXr1y50u+5hh3tKdq5c6c88cQT3u3ag5Q3b94E97Fq1So5ePCgrFmzRvLkySOVK1eWkSNHSv/+/WXYsGGSPn16mTZtmhQtWlTGjRtnfqZMmTLy3XffyYQJE0wwUuPHjzfhrEOHDua5/szy5ctl5syZMmDAAAfPAgAAcIMUDU3xXbp0yXzNkSOH3/bPP/9cPvvsMxOcmjZtKoMHDzZBSm3ZskUqVKhgApNFg1C3bt3kwIED8uCDD5oy9erV89unltEeJ6W9VBrUBg4c6H09IiLC/Iz+bEJiYmLMw3L58mXzVXvL9BFM1v6Cvd9QQf3cL9zraNUrKsIjbhJIe4RKG0ZFOnOOrbZzog1T+pz5HkMoHIvb6hjI/kImNMXFxZkQ8+ijj0r58uW929u0aSOFCxeW/Pnzy969e00Pks57Wrx4sXn9zJkzfoFJWc/1taTKaNC5du2aXLhwwQzzJVTm8OHDic7HGj58eII9X1agCzYdwgxn1M/9wr2OI6vFiZusWLHCdW04prr72jA559kpKd1+bqzj1atX3ReadG7T/v37zbCZr65du3q/1x6lfPnySd26deXYsWNSrFgxSSnaK6VzoCwawAoWLGjmZGXNmjXoKVjfJPXr15d06dJJuKF+7hfudbTqN3hHhMTEpRG32D/s/08/cFMblh/2f3NNg0l7mDQwOdGGgZxnp4RK+7mxjtZIkWtCU48ePWTZsmXyzTffSIECBZIsq1e1qaNHj5rQpEN28a9yO3v2rPlqzYPSr9Y23zIabjJmzCiRkZHmkVCZxOZS6VV4+ohPG9KpN6yT+w4F1M/9wr2O+mEbE+ue0JSctkjpNnT6/DrRhqH0nk/p9nNjHQPZV4pePefxeExgWrJkiaxbt85M1r4TvfpNaY+Tqlmzpuzbt8/vKjdNohqIypYt6y2zdu1av/1oGd2udLJ41apV/crocKE+t8oAAIDULW1KD8nNnTtXvvzyS7NWkzUHKVu2bKYHSIfg9PXGjRtLzpw5zZym3r17myvrKlasaMrqcJiGo7Zt25qlCHQfgwYNMvu2eoJ0XafJkydLv379pGPHjiagLViwwFwdZ9Ghtvbt20u1atWkevXqMnHiRLP0gXU1HQAASN1SNDRNnTrVu4Clr1mzZslLL71keoB0KQErwOicoZYtW5pQZNFhNR3a06vltFcoc+bMJvyMGDHCW0Z7sDQgaeCaNGmSGQKcPn26d7kB1apVKzl//rxZ30mDly5doEsixJ8cDgAAUqe0KT08lxQNSboA5p3o1XV3unpBg9nu3buTLKNDhfoAAACIj3vPAQAA2EBoAgAAcCI06WKQvgtBnTx50sw50kUdAQAAwlXAoalZs2by6aefmu8vXrxo1k3Se7rpdmtiNwAAgKT20LRr1y55/PHHzfeLFi0yV5dpb5MGqQ8++MCJYwQAAHBfaNKhOV1TSemQXIsWLczNbR9++GETngAAAMJRwKGpePHisnTpUvn5558lOjraLC6pdEXuYN9zDQAAwLWhSRd/fOONN6RIkSJmPpN1mxHtdXrwwQedOEYAAAD3LW75zDPPyGOPPSanT5+WSpUqebfXrVtXnn766WAfHwAAgHtXBM+bN695+NL7tQEAAISrgEOT9ialSZPmtu26LUOGDGbOU5s2baRUqVLBOkYAAAD3zWnKli2brFu3ziw9oEFJH3pPN91269YtmT9/vhm227RpkzNHDAAA4IaeJh2W056kyZMnm6UGVFxcnPTs2dMsRTBv3jx55ZVXpH///vLdd985ccwAAACh39M0Y8YM6dWrlzcwmZ1ERMirr74qn3zyiel56tGjh+zfvz/YxwoAAOCe0KRDcIcPH75tu26LjY013+vcpoTmPQEAAKSa4bm2bdtKp06d5M0335SHHnrIbNu+fbu8++670q5dO/N848aNUq5cueAfLQAAgFtC04QJE8z95saMGSNnz5412/R57969zTwmpauEP/XUU8E/WgAAALeEpsjISHnrrbfM4/Lly2Zb/NunFCpUKHhHCAAA4NbFLS3caw4AAKQWAU8E1yE5ndeUP39+SZs2rel58n0AAACEo4B7ml566SU5deqUDB48WPLly8dVcgAAIFUIODTpgpXffvutVK5c2ZkjAgAACIfhuYIFC4rH43HmaAAAAMIlNE2cOFEGDBggP/30kzNHBAAAEA7Dc61atZKrV69KsWLFJFOmTJIuXTq/13///fdgHh8AAIA7Q5P2NAEAAKQ2AYem9u3bO3MkAAAAbg9NuvK3tZCltQp4YljwEgAApNrQdO+998rp06cld+7ckj179gTXZtIr6nR7bGysE8cJAAAQ+qFp3bp1kiNHDvP9+vXrnT4mAAAAd4amJ5980vt90aJFzVpN8XubtKfp559/Dv4RAgAAuHGdJg1N58+fv227LjWgrwEAAISjgK+es+Yuxffnn39KhgwZgnVcAADAQUUGLBc3iYr0yJjqLglNffr0MV81MOnNenVhS4tO/v7++++5Hx0AAAhbtkPT7t27vT1N+/btk/Tp03tf0+8rVaokb7zxhjNHCQAA4JbQZF0116FDB5k0aRLrMQEAgFQl4DlNs2bNcuZIAAAAwik0qR07dsiCBQvk1KlTcuPGDb/XFi9eHKxjAwAAcO+SA/PmzZNHHnlEDh06JEuWLJGbN2/KgQMHzAKY2bJlc+YoAQAA3Baa3n33XZkwYYJ89dVXZgK4zm86fPiwPPfcc1KoUCFnjhIAAMBtoenYsWPSpEkT872GpitXrphlCHr37i2ffPJJQPsaNWqUPPTQQ3LPPfeY+9o1b95cjhw54lfm+vXr0r17d8mZM6dkyZJFWrZsKWfPnvUro8OEeky6DILup2/fvnLr1i2/Mhs2bJAqVapIVFSUFC9eXGbPnn3b8UyZMkWKFCli1puqUaOGbNu2LaD6AACA8BVwaNKb9/7xxx/m+/vvv1/2799vvr948aJcvXo1oH1t3LjRBKKtW7fK6tWrzVBfgwYNTBCzaBjTXq2FCxea8r/++qu0aNHCb40oDUw6t2rz5s0yZ84cE4iGDBniLXPixAlTpnbt2rJnzx7p1auXdO7cWaKjo71l5s+fb9aiGjp0qOzatcssodCwYUM5d+5coKcIAACEoYAngj/xxBMm4FSoUEGeffZZ6dmzp5nPpNvq1q0b0L5Wrlzp91zDjvYU7dy50/yeS5cuyYwZM2Tu3LlSp04d79V7ZcqUMUHr4YcfllWrVsnBgwdlzZo1kidPHrPA5siRI6V///4ybNgw0xs2bdo0c4uXcePGmX3oz3/33XdmmFGDkRo/frx06dLFLKmg9GeWL18uM2fOlAEDBgR6mgAAQGrvaZo8ebI8//zz5vu33nrL9M7ocJkOm2nA+Ss0JKkcOXKYrxqetPepXr163jKlS5c2c6e2bNlinutXDXAamCwahC5fvmwmqFtlfPdhlbH2ob1U+rt8y0RERJjnVhkAAJC6BdzTZAUaK1j49sJcu3Yt2QcSFxdnhs0effRRKV++vNl25swZ01OUPXt2v7IakPQ1q4xvYLJet15LqowGKz3mCxcumGG+hMroJPeExMTEmIdF96U05OkjmKz9BXu/oYL6uV+419GqV1SER9wkkPYIlTbU+4s5st//bTsn2jClz5nvMQRyLE6da6dYbefUZ6xj6zTFp+FBJ1GPGTPGG1QCpXObdH6UDpu5gU5iHz58+G3bdbjQ9758waRDoOGM+rlfuNdxZLU4cZMVK1a4rg2dviGrE22YnPPslEDaL6VvfptcwX6PBjIfO20gwUjnCOnBau9Pv379zNVuOsdIh+kiIyPNpO3k6NGjhyxbtky++eYbKVCggHd73rx5zdCZTjL37W3S4UB9zSoT/yo36+o63zLxr7jT53ormIwZM5pj10dCZax9xDdw4EDvTYytnqaCBQuaiezBvsWMpmA97/Xr15d06dJJuKF+7hfudbTqN3hHhMTEpRG32D/s/8/ZdFMblh/2fxfoBLuXQgOTE20YyHl2SnLaz6lz7RSrDYP9HrVGioIamvRqtI8//tjM89Gr1HQSuE6a1gnZOolan2vwCITe/PfVV181i2TqkgA6WdtX1apVzYlZu3atmTOldEkCXWKgZs2a5rl+feedd8xVbjqJXOkbR4NL2bJlvWXi/0tAy1j70BCov0t/jwZBa7hQn2ugS4guXaCP+PR4nfofjpP7DgXUz/3CvY76YRsT657QlJy2SOk2dPr8OtGGofSeD6T93PRedvI9Gsi+bIcmveT/008/lf/6r/8yw2gVK1Y0ayH98MMPZp2m5A7J6ZVxX375pVmryRra05XFtQdIv3bq1Mn06OhcKg1CGrI07OiVc0p7djQctW3b1js8OGjQILNvK9S88sorZgK79o517NjRXO2nt4HRq+Ms+jvat28v1apVk+rVq8vEiRPN0gfW1XQAACB1sx2afvnlF9Mbo3SitgYSHY5LbmBSU6dONV9r1arlt12H/F566SXzvS4LoBPOtadJhwj1qrePPvrIW1Z7t3Ror1u3biZMZc6c2YSfESNGeMtoD5YGJD1eXcFchwCnT5/uXW5AtWrVSs6fP2961DR46dIFuiRC/MnhAAAgdbIdmvTqMh3G8v5g2rRmhe6/Qofn7kRX59ZJ5vpITOHChe84EU+D2e7du5Mso0NxiQ3HAQCA1C1tIAFHe3+sIS+9vYkOe2nPjq/FixcH/ygBAADcEpp0yMvXiy++6MTxAAAAuDs06TwjAACA1Crg26gAAACkRoQmAAAAGwhNAAAANhCaAAAAghWaqlSpIhcuXDDf66KRgdzcDgAAINWEpkOHDplbiqjhw4fLn3/+6fRxAQAAuG/JAb2liN6D7bHHHjOLXI4dOzbR1cD1NiQAAACpMjTNnj1bhg4dau7xpvea+/rrr81tVOLT1whNAAAg1YamUqVKybx588z3evPctWvXSu7cuZ0+NgAAAPetCG6Ji4tz5kgAAADCKTSpY8eOycSJE80EcVW2bFnp2bOnFCtWLNjHBwAA4M51mqKjo01I2rZtm1SsWNE8vv/+eylXrpysXr3amaMEAABwW0/TgAEDpHfv3vLee+/dtr1///5Sv379YB4fAACAO3uadEiuU6dOt23v2LGjHDx4MFjHBQAA4O7QlCtXLtmzZ89t23UbV9QBAIBwFfDwXJcuXaRr165y/PhxeeSRR8y2TZs2yejRo6VPnz5OHCMAAID7QtPgwYPlnnvukXHjxsnAgQPNtvz588uwYcPktddec+IYAQAA3BeadNVvnQiujz/++MNs0xAFAAAQzpK1TpOFsAQAAFKLgCeCAwAApEaEJgAAABsITQAAAMEOTTdv3pS6devKjz/+GMiPAQAApK7QlC5dOtm7d69zRwMAABAuw3MvvviizJgxw5mjAQAACJclB27duiUzZ86UNWvWSNWqVSVz5sx+r48fPz6YxwcAAODO0LR//36pUqWK+f5f//rXbQtfAgAAhKOAQ9P69eudORIAAIBwXHLg6NGjEh0dLdeuXTPPPR5PMI8LAADA3aHpt99+M8sOlCxZUho3biynT5822zt16iSvv/66E8cIAADgvtCkN+rVpQdOnTolmTJl8m5v1aqVrFy5MtjHBwAA4M45TatWrTLDcgUKFPDbXqJECTl58mQwjw0AAMC9PU1Xrlzx62Gy/P777xIVFRWs4wIAAHB3aHr88cfl008/9VtmIC4uTsaMGSO1a9cO9vEBAAC4c3hOw5FOBN+xY4fcuHFD+vXrJwcOHDA9TZs2bXLmKAEAANzW01S+fHmzqOVjjz0mzZo1M8N1LVq0kN27d0uxYsWcOUoAAAC39TSpbNmyyVtvvRX8owEAAAin0HThwgVz095Dhw6Z52XLlpUOHTpIjhw5gn18AAAA7hye++abb6RIkSLywQcfmPCkD/2+aNGi5rVA99W0aVPJnz+/mVC+dOlSv9dfeukls9338dRTT/mV0blUL7zwgmTNmlWyZ89uFtn8888//crs3bvXTGDPkCGDFCxY0MzLim/hwoVSunRpU6ZChQqyYsWKgOoCAADCW8ChqXv37mYhyxMnTsjixYvN4/jx4/L888+b1wKh86EqVaokU6ZMSbSMhiRdddx6fPHFF36va2DSieirV6+WZcuWmSDWtWtX7+uXL1+WBg0aSOHChWXnzp3y/vvvy7Bhw+STTz7xltm8ebO0bt3aBC6dm9W8eXPz0JsTAwAAJGt4Tu85t2jRIomMjPRu0+/79OnjtxSBHY0aNTKPpOjaT3nz5k3wNR0e1FXIt2/fLtWqVTPbPvzwQ3N7l7Fjx5oerM8//9xc5Tdz5kxJnz69lCtXTvbs2SPjx4/3hqtJkyaZcNa3b1/zfOTIkSaETZ48WaZNmxZQnQAAQHgKODRVqVLFhJVSpUr5bddt2msUbBs2bJDcuXPLvffeK3Xq1JG3335bcubMaV7bsmWLGZKzApOqV6+eREREyPfffy9PP/20KfPEE0+YwGRp2LChjB492gwt6n61jIY+X1om/nChr5iYGPPw7dFSN2/eNI9gsvYX7P2GCurnfuFeR6teURHuujF5IO0RKm0YFenMObbazok2TOlz5nsMgRyLU+faKVbbOfUZG7TQpHOCLK+99pr07NnT9Dg9/PDDZtvWrVvNENt7770nwaS9P7qcgc6XOnbsmLz55pumZ0pDjvZunTlzxgQqvwqlTWsmpOtrSr/qz/vKkyeP9zUNTfrV2uZbxtpHQkaNGiXDhw9P8DYzCa2YHgza+xXOqJ/7hXsdR1aLEzdJztzMlG7DMdXd14ahNAc2kPZz+lw7Jdjv0atXrwY3NFWuXNlMwvZ4/i+V6qKW8bVp08bMdwoWnSdl0cnZFStWNGtBae+TLrCZkgYOHOjXO6U9TTrJXOdP6aT0YKdgfZPUr1/f3Cw53FA/9wv3Olr1G7wjQmLi0ohb7B/W0HVtWH5YtGO9FBqYnGjDQM6zU5LTfk6da6dYbRjs96g1UhS00KSTvkPBAw88IPfdd5/p5dLQpHOdzp0751fm1q1b5oo6ax6Ufj179qxfGev5ncokNpfKmmuV0L32tCGd+h+Ok/sOBdTP/cK9jvphGxPrntCUnLZI6TZ0+vw60Yah9J4PpP3c9F528j0ayL5shSa98iwU/PLLL/Lbb79Jvnz5zPOaNWvKxYsXzVVxVatWNdvWrVtn7oVXo0YNbxldiFNTuHViNI3rnCwdmrPKrF27Vnr16uX9XVpGtwMAACR7cctff/1VvvvuO9PLowHFl855skvXU9JeI98eLb2yTeck6UPnDLVs2dL0+OicJh0SLF68uJmkrcqUKWPmPXXp0sVc5abBqEePHmZYT6+cs4YMdT+6nED//v3NMgJ6tdyECRO8v1fnaD355JMybtw4adKkicybN8/cW893WQIAAJC6BRyaZs+eLS+//LK5Gk2vYtO5Thb9PpDQpMGkdu3a3ufWHKH27dvL1KlTzQT0OXPmmN4kDUE6X0iXA/AdFtMlBTQo6XCdXjWnIUsX2/S95YtOztY1pLQ3Sof3hgwZ4reW0yOPPCJz586VQYMGmcnmJUqUMFfO6X32AAAAkhWaBg8ebEKHToTWkPJX1KpVy29yeXzR0XeepKY9Uhp4kqITyL/99tskyzz77LPmAQAAkJCI5Fyap8NffzUwAQAAuEnAyUfnBul92gAAAFKTgIfndFHHv/3tb+b2Jbp2UvxL9fT2JAAAAOEmWaFJ5xpZt1GJPxEcAAAgHAUcmvSyfL357UsvveTMEQEAAITDnCa93P/RRx915mgAAADCJTTpQpAffvihM0cDAAAQLsNz27ZtM7cqWbZsmZQrV+62ieCLFy8O5vEBAAC4MzRlz55dWrRo4czRAAAAhEtomjVrljNHAgAAEMJY1hsAAMCJnqaiRYsmuR7T8ePHA90lAABA+IWmXr16+T2/efOm7N6926wQ3rdv32AeGwAAgHtDky45kJApU6bIjh07gnFMAAAA4TunqVGjRvKPf/wjWLsDAAAIz9C0aNEiyZEjR7B2BwAA4O7huQcffNBvIrjH45EzZ87I+fPn5aOPPgr28QEAALgzNDVv3tzveUREhOTKlUtq1aolpUuXDuaxAQAAuDc0DR061JkjAQAACGEsbgkAABDMniYdhktqUUulr9+6dcvuLgEAAMIvNC1ZsiTR17Zs2SIffPCBxMXFBeu4AAAA3BmamjVrdtu2I0eOyIABA+Srr76SF154QUaMGBHs4wMAAHDvnKZff/1VunTpIhUqVDDDcXv27JE5c+ZI4cKFg3+EAAAAbgtNly5dkv79+0vx4sXlwIEDsnbtWtPLVL58eeeOEAAAwE3Dc2PGjJHRo0dL3rx55YsvvkhwuA4AAEBSe2jSuUsZM2Y0vUw6FKePhCxevDiYxwcAAOCu0NSuXbs7LjkAAAAgqT00zZ4929kjAQAACGGsCA4AAGADoQkAAMCJG/YC4azIgOVB32dUpEfGVBcpPyxaYmKDPy/wp/eaBH2fAIDb0dMEAABgA6EJAADABkITAACADYQmAAAAGwhNAAAANhCaAAAAbCA0AQAA2EBoAgAACPXQ9M0330jTpk0lf/785mbAS5cu9Xvd4/HIkCFDJF++fJIxY0apV6+e/Pjjj35lfv/9d3nhhRcka9askj17dunUqZP8+eeffmX27t0rjz/+uGTIkEEKFiwoY8aMue1YFi5cKKVLlzZlKlSoICtWrHCo1gAAwI1SNDRduXJFKlWqJFOmTEnwdQ03H3zwgUybNk2+//57yZw5szRs2FCuX7/uLaOB6cCBA7J69WpZtmyZCWJdu3b1vn758mVp0KCBFC5cWHbu3Cnvv/++DBs2TD755BNvmc2bN0vr1q1N4Nq9e7c0b97cPPbv3+/wGQAAAG6RordRadSokXkkRHuZJk6cKIMGDZJmzZqZbZ9++qnkyZPH9Eg9//zzcujQIVm5cqVs375dqlWrZsp8+OGH0rhxYxk7dqzpwfr888/lxo0bMnPmTEmfPr2UK1dO9uzZI+PHj/eGq0mTJslTTz0lffv2Nc9HjhxpQtjkyZNNYAMAAAjZOU0nTpyQM2fOmCE5S7Zs2aRGjRqyZcsW81y/6pCcFZiUlo+IiDA9U1aZJ554wgQmi/ZWHTlyRC5cuOAt4/t7rDLW7wEAAAjZG/ZqYFLas+RLn1uv6dfcuXP7vZ42bVrJkSOHX5miRYvetg/rtXvvvdd8Ter3JCQmJsY8fIcB1c2bN80jmKz9BXu/oSKU6qc31w36PiM8fl+DLRTOWyi1oROsejnVhk4JpD1CpQ2d+Bt0+u8wpc+Z7zEEcixOnWunWG3n1Gesq0NTqBs1apQMHz78tu2rVq2STJkyOfI7dcgwnIVC/cZUd27fI6vFObLfULpoIRTa0ElOtaFTkvPeSOk2dPJv0Kk2dOvfoNPn2inBfo9evXrV/aEpb9685uvZs2fN1XMWfV65cmVvmXPnzvn93K1bt8wVddbP61f9GV/W8zuVsV5PyMCBA6VPnz5+PU16ZZ5OOtcr+YKdgvVNUr9+fUmXLp2Em1CqX/lh0Y7860j/Rz14R4TExKUJ+v73D2soKS2U2tDJ+jnVhk4J5L0RKm3oxN+g03+Hbv0bdOpcO8Vqw2C/R62RIleHJh1S09Cydu1ab0jSiulcpW7dupnnNWvWlIsXL5qr4qpWrWq2rVu3TuLi4szcJ6vMW2+9Zd5Q1knWN1apUqXM0JxVRn9Pr169vL9fy+j2xERFRZlHfPo7nPofjpP7DgWhUL+YWOc+EPV/1E7sP6XPWai1oZOcakOnJKctUroNnT6/TrRhKL3nA2k/N72XnXyPBrKvFJ0Irusp6ZVs+rAmf+v3p06dMus2aYh5++235Z///Kfs27dP2rVrZ66I0+UAVJkyZcxVb126dJFt27bJpk2bpEePHubKOi2n2rRpYyaB63ICujTB/PnzzdVyvr1EPXv2NFfhjRs3Tg4fPmyWJNixY4fZFwAAQIr3NGkwqV27tve5FWTat28vs2fPln79+pm1nHRpAO1Reuyxx0y40QUoLbqkgIabunXrmqvmWrZsadZ28r3iTucZde/e3fRG3XfffWbBTN+1nB555BGZO3euWd7gzTfflBIlSphlDcqXL3/XzgUAAAhtKRqaatWqZdZjSoz2No0YMcI8EqNXymngSUrFihXl22+/TbLMs88+ax4AAACuWqcJAAAglBCaAAAAbCA0AQAA2EBoAgAAsIHQBAAAYAOhCQAAwAZCEwAAgA2EJgAAABsITQAAADYQmgAAAGwgNAEAANhAaAIAALCB0AQAAGADoQkAAMAGQhMAAIANhCYAAAAbCE0AAAA2EJoAAABsIDQBAADYQGgCAACwgdAEAABgA6EJAADABkITAACADYQmAAAAGwhNAAAANhCaAAAAbCA0AQAA2EBoAgAAsIHQBAAAYAOhCQAAwAZCEwAAgA2EJgAAABsITQAAADYQmgAAAGxIa6cQQkP5YdESE5tG3OKn95qk9CEAABA09DQBAADYQGgCAACwgdAEAABgA6EJAADABkITAACADYQmAAAAt4emYcOGSZo0afwepUuX9r5+/fp16d69u+TMmVOyZMkiLVu2lLNnz/rt49SpU9KkSRPJlCmT5M6dW/r27Su3bt3yK7NhwwapUqWKREVFSfHixWX27Nl3rY4AAMAdQjo0qXLlysnp06e9j++++877Wu/eveWrr76ShQsXysaNG+XXX3+VFi1aeF+PjY01genGjRuyefNmmTNnjglEQ4YM8ZY5ceKEKVO7dm3Zs2eP9OrVSzp37izR0dF3va4AACB0hfzilmnTppW8efPetv3SpUsyY8YMmTt3rtSpU8dsmzVrlpQpU0a2bt0qDz/8sKxatUoOHjwoa9askTx58kjlypVl5MiR0r9/f9OLlT59epk2bZoULVpUxo0bZ/ahP6/BbMKECdKwYcO7Xl8AABCaQj40/fjjj5I/f37JkCGD1KxZU0aNGiWFChWSnTt3ys2bN6VevXresjp0p69t2bLFhCb9WqFCBROYLBqEunXrJgcOHJAHH3zQlPHdh1VGe5ySEhMTYx6Wy5cvm696TPoIJmt/UREecRO758EqF+zzlhxRkcE/x1a7OdV+oXDeQqkNnRDuf4Oh1IZO/A06/XeY0ufM9xgCORanzrVTrLZz6jPWjjQejydkz9rXX38tf/75p5QqVcoMzQ0fPlz+/e9/y/79+82wXIcOHfyCi6pevboZahs9erR07dpVTp486TfUdvXqVcmcObOsWLFCGjVqJCVLljT7GThwoLeMvqZDdlo2Y8aMCR6b9lTp8cSnPV86fwoAAIQ+/axv06aNGcHKmjWre3uaNNRYKlasKDVq1JDChQvLggULEg0zd4uGrD59+vj1NBUsWFAaNGhwx5OenBS8evVqGbwjQmLi3HPvuf3DGgZUv/r160u6dOkkpe/v58S/jkZWi3Os/eyeZyeFUhs6Idz/BkOpDZ34G3T679Ctf4NOnWunWG0Y7PeoNVJkR0iHpviyZ89ueoaOHj1qTppO8L548aLZbtGr56w5UPp127Ztfvuwrq7zLRP/ijt9rsEnqWCmV9rpIz5tSKf+h6N/6G66YW+g58HJc2eXk+fXqfZL6XMWam3opHD/GwyFNnT6/DrRhqH0ng+k/dz0XnbyPRrIvkL+6jlfOlR37NgxyZcvn1StWtVUdO3atd7Xjxw5YpYY0LlPSr/u27dPzp075y2jSVwDUdmyZb1lfPdhlbH2AQAAEPKh6Y033jBLCfz0009myYCnn35aIiMjpXXr1pItWzbp1KmTGSJbv369mRiuc5M07OgkcKVDZRqO2rZtKz/88IOZ2zRo0CCztpPVS/TKK6/I8ePHpV+/fnL48GH56KOPzPCfLmcAAADgiuG5X375xQSk3377TXLlyiWPPfaYWU5Av1e6LEBERIRZ1FInhOtVbxp6LBqwli1bZq6W0zClE8Dbt28vI0aM8JbR5QaWL19uQtKkSZOkQIECMn36dJYbAAAA7glN8+bNS/J1XYZgypQp5pEYnTiuV8MlpVatWrJ79+5kHycAAAh/IT08BwAAECoITQAAADYQmgAAAGwgNAEAANhAaAIAALCB0AQAAGADoQkAAMAGQhMAAIANhCYAAAAbCE0AAAA2EJoAAABsIDQBAADYQGgCAACwgdAEAABgA6EJAADABkITAACADYQmAAAAGwhNAAAANhCaAAAAbCA0AQAA2EBoAgAAsIHQBAAAYAOhCQAAwAZCEwAAgA2EJgAAABsITQAAADYQmgAAAGwgNAEAANhAaAIAALCB0AQAAGADoQkAAMAGQhMAAIANhCYAAAAbCE0AAAA2EJoAAABsIDQBAADYQGgCAACwgdAEAABgA6EJAADABkITAACADYSmeKZMmSJFihSRDBkySI0aNWTbtm0pfUgAACAEEJp8zJ8/X/r06SNDhw6VXbt2SaVKlaRhw4Zy7ty5lD40AACQwghNPsaPHy9dunSRDh06SNmyZWXatGmSKVMmmTlzZkofGgAASGGEpv9148YN2blzp9SrV8+7LSIiwjzfsmVLih4bAABIeWlT+gBCxX/+8x+JjY2VPHny+G3X54cPH76tfExMjHlYLl26ZL7+/vvvcvPmzaAem+7v6tWrkvZmhMTGpRG3+O233wKqn5ZPly6dpKS0t64Ef59xHrl6Nc6x9rN7np0USm3ohHD/GwylNnTib9Dpv0O3/g06da6dYrVhsN+jf/zxh/nq8XjufAxB+62pzKhRo2T48OG3bS9atGiKHE8oum9cSh9B6Gjj4L45z0gM742783fIeQ6P/5dqeMqWLVuSZQhN/+u+++6TyMhIOXv2rN92fZ43b97byg8cONBMGrfExcWZXqacOXNKmjTB/VfM5cuXpWDBgvLzzz9L1qxZJdxQP/cL9zqGe/1SQx2pn/tddqiO2sOkgSl//vx3LEto+l/p06eXqlWrytq1a6V58+beIKTPe/TocVv5qKgo8/CVPXt2R49R3yTh+segqJ/7hXsdw71+qaGO1M/9sjpQxzv1MFkITT6056h9+/ZSrVo1qV69ukycOFGuXLlirqYDAACpG6HJR6tWreT8+fMyZMgQOXPmjFSuXFlWrlx52+RwAACQ+hCa4tGhuISG41KSDgPqgpvxhwPDBfVzv3CvY7jXLzXUkfq5X1QI1DGNx841dgAAAKkci1sCAADYQGgCAACwgdAEAABgA6EJAADABkJTCvvmm2+kadOmZiVSXUl86dKld/yZDRs2SJUqVcwVBMWLF5fZs2dLONVR66fl4j90GYhQvJ3OQw89JPfcc4/kzp3bLIx65MiRO/7cwoULpXTp0pIhQwapUKGCrFixQkJVcuqo78n47ad1DUVTp06VihUrehfMq1mzpnz99ddh037JqaOb2i8h7733njnmXr16hVU7BlI/t7XhsGHDbjtebZtQaz9CUwrTxTMrVaokU6ZMsVX+xIkT0qRJE6ldu7bs2bPH/NF07txZoqOjJVzqaNEP5tOnT3sf+oEdajZu3Cjdu3eXrVu3yurVq81NMxs0aGDqnJjNmzdL69atpVOnTrJ7924TQvSxf/9+CUXJqaPSD2ff9jt58qSEogIFCpgPoZ07d8qOHTukTp060qxZMzlw4EBYtF9y6uim9otv+/bt8vHHH5uQmBQ3tmMg9XNjG5YrV87veL/77rvQaz9dcgChQZtjyZIlSZbp16+fp1y5cn7bWrVq5WnYsKEnXOq4fv16U+7ChQsetzl37pw59o0bNyZa5rnnnvM0adLEb1uNGjU8L7/8sidc6jhr1ixPtmzZPG517733eqZPnx6W7Wenjm5tvz/++MNTokQJz+rVqz1PPvmkp2fPnomWdWM7BlI/t7Xh0KFDPZUqVbJdPqXaj54ml9myZYvUq1fPb1vDhg3N9nCjK7Lny5dP6tevL5s2bRI3uHTpkvmaI0eOsG1DO3VUf/75pxQuXNjcYPNOvRqhIjY2VubNm2d60XQIKxzbz04d3dp+2iOqPfHx2ydc2jGQ+rmxDX/88UczjeOBBx6QF154QU6dOhVy7ceK4C6j83ri39ZFn+vdn69duyYZM2YUt9OgNG3aNHMPwJiYGJk+fbrUqlVLvv/+ezOXK1TpDZ51uPTRRx+V8uXLB9yGoThnK7l1LFWqlMycOdMMIWjIGjt2rDzyyCPmf9o6VBRq9u3bZwLE9evXJUuWLLJkyRIpW7ZsWLVfIHV0W/spDYK7du0yw1d2uK0dA62f29qwRo0aZh6WHrcOzQ0fPlwef/xxM9ym8ylDpf0ITQg5+kejD4v+oR87dkwmTJggf//73yWU/xWof+BJjcO7nd066oezby+GtmGZMmXMXIyRI0dKqNH3m84R1A+XRYsWmRt361yuxEKFGwVSR7e1388//yw9e/Y0c+5CebLz3ayf29qwUaNG3u816GmI0l6yBQsWmHlLoYLQ5DJ58+aVs2fP+m3T5zrhLxx6mRJTvXr1kA4jer/CZcuWmSsF7/SvuMTaULeHskDqGF+6dOnkwQcflKNHj0ooSp8+vbkSVVWtWtX8a37SpEnmAyZc2i+QOrqt/XSC+7lz5/x6onUYUt+rkydPNj3WkZGRrm3H5NTPbW0YX/bs2aVkyZKJHm9KtR9zmlxG/+Wwdu1av236r4+k5iaEA/0Xsg7bhRqd265hQoc61q1bJ0WLFg27NkxOHePT/8Hr8FAotmFiw5D6QRQO7ZecOrqt/erWrWuOT/8/YT10eF/nxej3CQUKN7VjcurntjZMaD6WjjAkdrwp1n6OTjOHrashdu/ebR7aHOPHjzffnzx50rw+YMAAT9u2bb3ljx8/7smUKZOnb9++nkOHDnmmTJniiYyM9KxcudITLnWcMGGCZ+nSpZ4ff/zRs2/fPnOFSEREhGfNmjWeUNOtWzdzhcqGDRs8p0+f9j6uXr3qLaN10zpaNm3a5EmbNq1n7Nixpg31qpF06dKZuoai5NRx+PDhnujoaM+xY8c8O3fu9Dz//POeDBkyeA4cOOAJNXrceiXgiRMnPHv37jXP06RJ41m1alVYtF9y6uim9ktM/KvLwqEdA6mf29rw9ddfN/+P0feotk29evU89913n7laN5Taj9CUwqzL6+M/2rdvb17Xr/rHEf9nKleu7EmfPr3ngQceMJeWhlMdR48e7SlWrJj5A8+RI4enVq1annXr1nlCUUL10odvm2jdrLpaFixY4ClZsqRpQ11CYvny5Z5QlZw69urVy1OoUCFTvzx58ngaN27s2bVrlycUdezY0VO4cGFzrLly5fLUrVvXGybCof2SU0c3tZ/dUBEO7RhI/dzWhq1atfLky5fPHO/9999vnh89ejTk2i+N/sfZviwAAAD3Y04TAACADYQmAAAAGwhNAAAANhCaAAAAbCA0AQAA2EBoAgAAsIHQBAAAYAOhCQBs2rBhg6RJk0YuXryY0ocCIAUQmgCEnZdeesmEG33ojUr1fnn9+vWT69ev295HrVq1pFevXn7b9E7xp0+flmzZsjlw1ABCXdqUPgAAcMJTTz0ls2bNkps3b5q7xLdv396EqNGjRyd7n+nTp3f8LuoAQhc9TQDCUlRUlAk4BQsWlObNm0u9evXMXdDVb7/9Jq1bt5b7779fMmXKJBUqVJAvvvjCr6dq48aNMmnSJG+P1U8//XTb8Nzs2bMle/bsEh0dLWXKlJEsWbKYsKa9UZZbt27Ja6+9ZsrlzJlT+vfvbwKcHhMAdyE0AQh7+/fvl82bN5ueIqXDdFWrVpXly5eb17p27Spt27aVbdu2mdc1LNWsWVO6dOliApA+NHwl5OrVqzJ27Fj5+9//Lt98842cOnVK3njjDe/r2rP1+eefm16vTZs2yeXLl2Xp0qV3qeYAgonhOQBhadmyZabnR3t6YmJiJCIiQiZPnmxe0x4m32Dz6quvmt6iBQsWSPXq1c2cJQ1Y2gt1p+E4Hf6bNm2aFCtWzDzv0aOHjBgxwvv6hx9+KAMHDpSnn37aPNdjWLFihUO1BuAkQhOAsFS7dm2ZOnWqXLlyRSZMmCBp06aVli1bmtdiY2Pl3XffNSHp3//+t9y4ccMEKw1JgdKfsQKTypcvn5w7d858f+nSJTl79qwJYpbIyEjTyxUXFxeUegK4exieAxCWMmfOLMWLF5dKlSrJzJkz5fvvv5cZM2aY195//30zBKfzi9avXy979uyRhg0bmvAUKL06z5fOefJ4PEGrB4DQQWgCEPZ0aO7NN9+UQYMGybVr18zcombNmsmLL75oQtUDDzwg//rXv/x+RofntEfqr9Bhvjx58sj27du923Sfu3bt+kv7BZAyCE0AUoVnn33WDI1NmTJFSpQoYa6k08nhhw4dkpdfftkMo/kqUqSI6Z3Sq+b+85//JHs4TedLjRo1Sr788ks5cuSI9OzZUy5cuGB6pAC4C6EJQKqgc5p0kvaYMWPk9ddflypVqpghOV3EUid7x18CQCeKa8gqW7as5MqVy1wVlxw6BKjLG7Rr185ckaeT0/X3ZsiQIUg1A3C3pPEw+A4Ad432WOmaTs8995yMHDkypQ8HQAC4eg4AHHTy5ElZtWqVPPnkk+YKPV1y4MSJE9KmTZuUPjQAAWJ4DgAcnoSuK4c/9NBD8uijj8q+fftkzZo1prcJgLswPAcAAGADPU0AAAA2EJoAAABsIDQBAADYQGgCAACwgdAEAABgA6EJAADABkITAACADYQmAAAAGwhNAAAAcmf/Dwc7TqaehnoTAAAAAElFTkSuQmCC", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "# Example: Distribution of User Ratings\n", + "data['rating'].hist(bins=10)\n", + "plt.title('Distribution of User Ratings')\n", + "plt.xlabel('Rating')\n", + "plt.ylabel('Number of Ratings')\n", + "plt.show()\n", + "\n", + "\n", + "# you should provide more visualization to illustrate the nature of the dataset" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "zRBNaCH4FV_g" + }, + "source": [ + "### Matrix Factorization (Collaborative Filtering)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "VnB1zyt63zh0" + }, + "outputs": [], + "source": [ + "from scipy.sparse.linalg import svds\n", + "import numpy as np\n", + "\n", + "# Perform matrix factorization\n", + "U, sigma, Vt = svds(train_matrix.values, k=50)\n", + "\n", + "# Predictions\n", + "sigma = np.diag(sigma)\n", + "predicted_ratings = np.dot(np.dot(U, sigma), Vt)\n", + "\n", + "# you should interpret the result that this model has provided.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "vnUMBadhFQSD" + }, + "source": [ + "### COntent-based Filtering" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "n3F-8_Gp6lvB" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Index(['movie_id', 'title', 'release_date', 'unknown', 'Action', 'Adventure',\n", + " 'Animation', 'Children', 'Comedy', 'Crime', 'Documentary', 'Drama',\n", + " 'Fantasy', 'Film-Noir', 'Horror', 'Musical', 'Mystery', 'Romance',\n", + " 'Sci-Fi', 'Thriller', 'War', 'Western'],\n", + " dtype='object')\n" + ] + } + ], + "source": [ + "from sklearn.metrics.pairwise import cosine_similarity\n", + "\n", + "# Assuming the genre columns start from the 'unknown' column inclusive onwards\n", + "print(movies.columns)\n", + "genres_matrix = movies.iloc[:, 4:]\n", + "\n", + "# Compute the cosine similarity matrix\n", + "cosine_sim = cosine_similarity(genres_matrix, genres_matrix)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "id": "lhNOaK5y9IGk" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "421 Aladdin and the King of Thieves (1996)\n", + "94 Aladdin (1992)\n", + "1218 Goofy Movie, A (1995)\n", + "62 Santa Clause, The (1994)\n", + "93 Home Alone (1990)\n", + "101 Aristocats, The (1970)\n", + "137 D3: The Mighty Ducks (1996)\n", + "138 Love Bug, The (1969)\n", + "168 Wrong Trousers, The (1993)\n", + "188 Grand Day Out, A (1992)\n", + "Name: title, dtype: object\n" + ] + } + ], + "source": [ + "def content_based_recommendations(movie_id, cosine_sim=cosine_sim, movies=movies, top_n=10):\n", + " # Find the index of the given movie\n", + " idx = movies.index[movies['movie_id'] == movie_id].tolist()[0]\n", + "\n", + " # Get the pairwise similarity scores of all movies with that movie\n", + " sim_scores = list(enumerate(cosine_sim[idx]))\n", + "\n", + " # Sort the movies based on the similarity scores\n", + " sim_scores = sorted(sim_scores, key=lambda x: x[1], reverse=True)\n", + "\n", + " # Get the scores of the top-n most similar movies\n", + " sim_scores = sim_scores[1:top_n+1]\n", + "\n", + " # Get the movie indices\n", + " movie_indices = [i[0] for i in sim_scores]\n", + "\n", + " # Return the top-n most similar movies\n", + " return movies['title'].iloc[movie_indices]\n", + "\n", + "# Example usage\n", + "print(content_based_recommendations(1))\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a13/assignment_13_03_03_recommender_systems___nexus___aminran.py b/a0.1/a13/assignment_13_03_03_recommender_systems___nexus___aminran.py new file mode 100644 index 0000000..97fc800 --- /dev/null +++ b/a0.1/a13/assignment_13_03_03_recommender_systems___nexus___aminran.py @@ -0,0 +1,117 @@ +# -*- coding: utf-8 -*- +"""Assignment 13. 03.03. Recommender Systems | Nexus | aminran.ipynb + +Automatically generated by Colab. + +Original file is located at + https://colab.research.google.com/drive/10NWtYRaIwgwb_2Ac6Lle_OFMi-bJSla1 + +# Assignment 7: Movie Recommender + +**Objective**: Develop two recommender systems, one based on collaborative filtering using matrix factorization and another based on a content-based approach using multiple features of the data. + +## Your major tasks are: +1. Describing the dataset in detail. +2. Preparing dataset ready for the models +3. Training Matrix Factorization as oen methods of Collaborative Filtering +4. Training Content-based model +5. Discuss the result of the models with one or two example of recommendation. +""" + +# Import necessary Libraries for dataframes, arrays, and train_test_split + +import numpy as np +import pandas as pd +from sklearn.model_selection import train_test_split + +# Load the data +ratings_url = 'http://files.grouplens.org/datasets/movielens/ml-100k/u.data' +movies_url = 'http://files.grouplens.org/datasets/movielens/ml-100k/u.item' +# remember that you have to search about this famous dataset + +ratings = pd.read_csv(ratings_url, sep=' ', names=['user_id', 'movie_id', 'rating', 'timestamp']) +# Load the movies data +movies = pd.read_csv(movies_url, sep='|', header=None, encoding='latin-1') + +# Define the correct column names (adjust based on actual data format) +movies.columns = ['movie_id', 'title', 'release_date', 'video_release_date', + 'IMDb_URL', 'unknown', 'Action', 'Adventure', 'Animation', + 'Children', 'Comedy', 'Crime', 'Documentary', 'Drama', 'Fantasy', + 'Film-Noir', 'Horror', 'Musical', 'Mystery', 'Romance', 'Sci-Fi', + 'Thriller', 'War', 'Western'] + +# Drop unnecessary columns if needed +movies = movies.drop(['video_release_date', 'IMDb_URL'], axis=1) + +# Merge datasets +data = pd.merge(ratings, movies, on='movie_id') + +# Train-test split with 80% train share +train_data, test_data = train_test_split(data, test_size=0.2) + +# Aggregate the data to avoid duplicates +train_data_grouped = train_data.groupby(['user_id', 'movie_id']).agg({'rating': 'mean'}).reset_index() + +# Create the user-item matrix +train_matrix = train_data_grouped.pivot_table(index='user_id', columns='movie_id', values='rating').fillna(0) + +# For the test matrix, you might need to repeat the same process +test_data_grouped = test_data.groupby(['user_id', 'movie_id']).agg({'rating': 'mean'}).reset_index() +test_matrix = test_data_grouped.pivot_table(index='user_id', columns='movie_id', values='rating').fillna(0) + +import matplotlib.pyplot as plt + +# Example: Distribution of User Ratings +data['rating'].hist(bins=5) +plt.title('Distribution of User Ratings') +plt.xlabel('Rating') +plt.ylabel('Number of Ratings') +plt.show() + + +# you should provide more visualization to illustrate the nature of the dataset + +"""### Matrix Factorization (Collaborative Filtering)""" + +from scipy.sparse.linalg import svds + +# Perform matrix factorization +U, sigma, Vt = svds(train_matrix.values, k=50) + +# Predictions +sigma = np.diag(sigma) +predicted_ratings = np.dot(np.dot(U, sigma), Vt) + +# you should interpret the result that this model has provided. + +"""### COntent-based Filtering""" + +from sklearn.metrics.pairwise import cosine_similarity + +# Assuming the genre columns start from the 'unknown' column inclusive onwards + +genres_matrix = movies.iloc[:, 3:] +# Compute the cosine similarity matrix +cosine_sim = cosine_similarity(genres_matrix, genres_matrix) + +def content_based_recommendations(movie_id, cosine_sim=cosine_sim, movies=movies, top_n=10): + # Find the index of the given movie + idx = movies.index[movies['movie_id'] == movie_id].tolist()[0] + + # Get the pairwise similarity scores of all movies with that movie + sim_scores = list(enumerate(cosine_sim[idx])) + + # Sort the movies based on the similarity scores + sim_scores = sorted(sim_scores, key=lambda x: x[1], reverse=True) + + # Get the scores of the top-n most similar movies + sim_scores = sim_scores[1:top_n+1] + + # Get the movie indices + movie_indices = [i[0] for i in sim_scores] + + # Return the top-n most similar movies + return movies['title'].iloc[movie_indices] + +# Example usage +print(content_based_recommendations(1)) \ No newline at end of file diff --git a/a0.1/a14/Assignment_14_03_02_Anomaly_Detection___Nexus___rsayyareh.ipynb b/a0.1/a14/Assignment_14_03_02_Anomaly_Detection___Nexus___rsayyareh.ipynb new file mode 100644 index 0000000..40991a9 --- /dev/null +++ b/a0.1/a14/Assignment_14_03_02_Anomaly_Detection___Nexus___rsayyareh.ipynb @@ -0,0 +1,390 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "bZK38f6lyawa" + }, + "source": [ + "# Credit Card Fraud Detection\n", + "\n", + "The dataset Repo:\n", + "https://www.kaggle.com/datasets/mlg-ulb/creditcardfraud?resource=download\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "r3bvXcvPzfyn" + }, + "source": [ + "### Import packages" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "cOFpKUmnyrVR" + }, + "outputs": [], + "source": [ + "import pandas as pd\n", + "from sklearn.model_selection import train_test_split\n", + "from sklearn.ensemble import IsolationForest #iForest\n", + "from sklearn.neighbors import LocalOutlierFactor #LOF\n", + "from sklearn.covariance import EllipticEnvelope #Robust Coveriance\n", + "from sklearn.svm import OneClassSVM #OCSVM\n", + "from sklearn.metrics import classification_report, accuracy_score\n", + "\n", + "import warnings\n", + "warnings.filterwarnings('ignore')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Iv0uNUaOzk3r" + }, + "source": [ + "### EDA\n", + "\n", + "Explor on data and show any interesting fact abuot this famous dataset." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "p966CwNGz0lM" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(284807, 31)\n", + "\n", + "RangeIndex: 284807 entries, 0 to 284806\n", + "Data columns (total 31 columns):\n", + " # Column Non-Null Count Dtype \n", + "--- ------ -------------- ----- \n", + " 0 Time 284807 non-null float64\n", + " 1 V1 284807 non-null float64\n", + " 2 V2 284807 non-null float64\n", + " 3 V3 284807 non-null float64\n", + " 4 V4 284807 non-null float64\n", + " 5 V5 284807 non-null float64\n", + " 6 V6 284807 non-null float64\n", + " 7 V7 284807 non-null float64\n", + " 8 V8 284807 non-null float64\n", + " 9 V9 284807 non-null float64\n", + " 10 V10 284807 non-null float64\n", + " 11 V11 284807 non-null float64\n", + " 12 V12 284807 non-null float64\n", + " 13 V13 284807 non-null float64\n", + " 14 V14 284807 non-null float64\n", + " 15 V15 284807 non-null float64\n", + " 16 V16 284807 non-null float64\n", + " 17 V17 284807 non-null float64\n", + " 18 V18 284807 non-null float64\n", + " 19 V19 284807 non-null float64\n", + " 20 V20 284807 non-null float64\n", + " 21 V21 284807 non-null float64\n", + " 22 V22 284807 non-null float64\n", + " 23 V23 284807 non-null float64\n", + " 24 V24 284807 non-null float64\n", + " 25 V25 284807 non-null float64\n", + " 26 V26 284807 non-null float64\n", + " 27 V27 284807 non-null float64\n", + " 28 V28 284807 non-null float64\n", + " 29 Amount 284807 non-null float64\n", + " 30 Class 284807 non-null int64 \n", + "dtypes: float64(30), int64(1)\n", + "memory usage: 67.4 MB\n", + "None\n", + "Index(['Time', 'V1', 'V2', 'V3', 'V4', 'V5', 'V6', 'V7', 'V8', 'V9', 'V10',\n", + " 'V11', 'V12', 'V13', 'V14', 'V15', 'V16', 'V17', 'V18', 'V19', 'V20',\n", + " 'V21', 'V22', 'V23', 'V24', 'V25', 'V26', 'V27', 'V28', 'Amount',\n", + " 'Class'],\n", + " dtype='object')\n" + ] + } + ], + "source": [ + "# Load the dataset (adjust the path as necessary)\n", + "data = pd.read_csv('E:/Nexus/Nexus_Assignments/Assignments/a14/creditcard.csv')\n", + "\n", + "# EDA\n", + "print(data.shape)\n", + "print(data.info())\n", + "print(data.columns)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "iu0-gYnzz54w" + }, + "source": [ + "### Preprocessing Phase" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "lIYdn1woOS1n" + }, + "outputs": [], + "source": [ + "# Assuming 'Class' is the column indicating fraud (1) or non-fraud (0)\n", + "X = data.drop('Class', axis=1)\n", + "y = data['Class']\n", + "\n", + "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "cTZpHCuo0B_r" + }, + "source": [ + "### Prepare the models" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "id": "WTqJ0e1F0Ag7" + }, + "outputs": [], + "source": [ + "# Define the models\n", + "models = {\n", + " \"Isolation Forest\": IsolationForest(n_estimators=100, contamination='auto', random_state=42),\n", + " \"Local Outlier Factor\": LocalOutlierFactor(n_neighbors=20, contamination='auto'),\n", + " \"Robust Covariance\": EllipticEnvelope(support_fraction=1., contamination=0.1),\n", + " \"One-Class SVM\": OneClassSVM(kernel='linear', gamma=0.001, nu=0.05),\n", + "}" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "GvUn1hA30JDk" + }, + "source": [ + "### Traning the models" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "id": "HC7aaIVG0Tc3" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "=== Isolation Forest ===\n", + " precision recall f1-score support\n", + "\n", + " 0 1.00 0.96 0.98 56864\n", + " 1 0.04 0.83 0.07 98\n", + "\n", + " accuracy 0.96 56962\n", + " macro avg 0.52 0.89 0.53 56962\n", + "weighted avg 1.00 0.96 0.98 56962\n", + "\n", + "\n", + "=== Local Outlier Factor ===\n", + "LOF does not support test-set prediction unless novelty=True.\n", + " precision recall f1-score support\n", + "\n", + " 0 1.00 0.98 0.99 227451\n", + " 1 0.02 0.16 0.03 394\n", + "\n", + " accuracy 0.98 227845\n", + " macro avg 0.51 0.57 0.51 227845\n", + "weighted avg 1.00 0.98 0.99 227845\n", + "\n", + "\n", + "=== Robust Covariance ===\n", + " precision recall f1-score support\n", + "\n", + " 0 1.00 0.90 0.95 56864\n", + " 1 0.01 0.73 0.02 98\n", + "\n", + " accuracy 0.90 56962\n", + " macro avg 0.51 0.82 0.49 56962\n", + "weighted avg 1.00 0.90 0.95 56962\n", + "\n", + "\n", + "=== One-Class SVM ===\n", + " precision recall f1-score support\n", + "\n", + " 0 1.00 0.95 0.97 56864\n", + " 1 0.00 0.07 0.00 98\n", + "\n", + " accuracy 0.95 56962\n", + " macro avg 0.50 0.51 0.49 56962\n", + "weighted avg 1.00 0.95 0.97 56962\n", + "\n" + ] + } + ], + "source": [ + "# Provide a for loop to walk on the models dict and train each of them one by one within the loop\n", + "\n", + "for name, model in models.items():\n", + " print(f\"\\n=== {name} ===\")\n", + " \n", + " # LOF requires special handling (no .predict() on test set by default)\n", + " if name == \"Local Outlier Factor\":\n", + " # LOF predicts during training using fit_predict\n", + " y_pred_train = model.fit_predict(X_train)\n", + " # LOF outputs -1 for anomalies, 1 for normal → convert to (0,1)\n", + " y_pred_train = (y_pred_train == -1).astype(int)\n", + " print(\"LOF does not support test-set prediction unless novelty=True.\")\n", + " print(classification_report(y_train, y_pred_train))\n", + " continue\n", + "\n", + " # For all other models: fit → predict\n", + " model.fit(X_train)\n", + " y_pred = model.predict(X_test)\n", + "\n", + " # Convert output (-1 = anomaly, 1 = normal) to (1 = anomaly, 0 = normal)\n", + " y_pred = (y_pred == -1).astype(int)\n", + "\n", + " print(classification_report(y_test, y_pred))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8WsSVITazewJ" + }, + "source": [ + "### Evaluate the models\n", + "You can use the following setup as a guidline to evaluate and compare the performance of models." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "id": "5S-2jVxzzcOM" + }, + "outputs": [], + "source": [ + "# Reshape the prediction values to 0 (normal) and 1 (fraud)\n", + "# y_pred[y_pred == 1] = 0\n", + "# y_pred[y_pred == -1] = 1\n", + "\n", + "# Calculate accuracy and other metrics\n", + "# print(f\"{name}:\")\n", + "# print(classification_report(y_test, y_pred))\n", + "# print(\"Accuracy:\", accuracy_score(y_test, y_pred))\n", + "# print(\"-\" * 30)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "YPIUyCfa0oGi" + }, + "source": [ + "### Interpretation\n", + "Highlight the best model performance and explain what caused this model can outperform others?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Best Model Performance (using ChatGPT): Isolation Forest\n", + "\n", + "From the results, Isolation Forest stands out as the best-performing model based on its f1-score, recall, and precision metrics for both classes. Let's break down the metrics for Isolation Forest and compare them with others:\n", + "\n", + "Precision (Anomalies = 1):\n", + "\n", + "Isolation Forest: 0.04, which is quite low, but typical in anomaly detection due to the imbalanced nature of the dataset.\n", + "\n", + "LOF: 0.02 (lower than Isolation Forest).\n", + "\n", + "Robust Covariance: 0.01 (even lower).\n", + "\n", + "One-Class SVM: 0.00 (worst precision).\n", + "\n", + "Recall (Anomalies = 1):\n", + "\n", + "Isolation Forest: 0.83 (fairly high for anomaly detection).\n", + "\n", + "LOF: 0.16.\n", + "\n", + "Robust Covariance: 0.73.\n", + "\n", + "One-Class SVM: 0.07 (very low recall).\n", + "\n", + "f1-score (Anomalies = 1):\n", + "\n", + "Isolation Forest: 0.07 (the highest among the models for anomalies).\n", + "\n", + "LOF: 0.03.\n", + "\n", + "Robust Covariance: 0.02.\n", + "\n", + "One-Class SVM: 0.00.\n", + "\n", + "Accuracy:\n", + "\n", + "Isolation Forest: 0.96 (highest accuracy).\n", + "\n", + "LOF: 0.98 (best accuracy).\n", + "\n", + "Robust Covariance: 0.90.\n", + "\n", + "One-Class SVM: 0.95.\n", + "\n", + "Explanation of Outperformance:\n", + "\n", + "Isolation Forest has a stronger recall for anomalies (0.83), meaning it detects more of the actual anomalies compared to the other models. Despite having a low precision for anomalies (0.04), it manages to maintain a high accuracy (0.96) by identifying the majority of the non-anomalies correctly. This is typical for imbalanced anomaly detection, where models tend to predict the majority class (non-anomalies) correctly and fail to catch a lot of anomalies.\n", + "\n", + "LOF also shows a good accuracy and recall but fails to achieve the f1-score balance that Isolation Forest does for anomaly detection. LOF struggles with precision, especially when trying to detect anomalies (precision = 0.02), meaning it has a lot of false positives for anomalies.\n", + "\n", + "Robust Covariance and One-Class SVM both have very poor performance in detecting anomalies (low recall and f1-score for anomalies). Their accuracies are lower than Isolation Forest, and they fail to perform well in anomaly detection." + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/a14/assignment_14_03_02_anomaly_detection___nexus___aminran.py b/a0.1/a14/assignment_14_03_02_anomaly_detection___nexus___aminran.py new file mode 100644 index 0000000..22be539 --- /dev/null +++ b/a0.1/a14/assignment_14_03_02_anomaly_detection___nexus___aminran.py @@ -0,0 +1,110 @@ +# -*- coding: utf-8 -*- +"""Assignment 14. 03.02. Anomaly Detection | Nexus | aminran.ipynb + +Automatically generated by Colab. + +Original file is located at + https://colab.research.google.com/drive/1VQTMfjWCz4IbCfmeg5fah-_MvE2h5Ap4 + +# Credit Card Fraud Detection + +The dataset Repo: +https://www.kaggle.com/datasets/mlg-ulb/creditcardfraud?resource=download + +### Import packages +""" + +import pandas as pd +from sklearn.model_selection import train_test_split +from sklearn.ensemble import IsolationForest #iForest +from sklearn.neighbors import LocalOutlierFactor #LOF +from sklearn.covariance import EllipticEnvelope #Robust Coveriance +from sklearn.svm import OneClassSVM #OCSVM +from sklearn.metrics import classification_report, accuracy_score + +"""### EDA + +Explor on data and show any interesting fact abuot this famous dataset. +""" + +# Load the dataset (adjust the path as necessary) +# Install dependencies as needed: +# pip install kagglehub[pandas-datasets] +import kagglehub +from kagglehub import KaggleDatasetAdapter + +# Set the path to the file you'd like to load +file_path = "creditcard.csv" + +# Load the latest version +data = kagglehub.load_dataset( + KaggleDatasetAdapter.PANDAS, + "mlg-ulb/creditcardfraud", + file_path, + # Provide any additional arguments like + # sql_query or pandas_kwargs. See the + # documenation for more information: + # https://github.com/Kaggle/kagglehub/blob/main/README.md#kaggledatasetadapterpandas +) + + +pd.set_option('display.max_columns', None) + +print("First 5 records:\n", data.head()) +print("Data shape:", data.shape) +data['Class'].value_counts() + +"""### Preprocessing Phase""" + +# Assuming 'Class' is the column indicating fraud (1) or non-fraud (0) +X = data.drop('Class', axis=1) +y = data['Class'] + +# For anomaly detection, we often deal with unsupervised methods, so we'll ignore the y label during training +# Split the dataset into training and test sets +# You can also slice data to train the model with almost 10000 records only in case the training time rises +X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42) + +"""### Prepare the models""" + +# Define the models +models = { + "Isolation Forest": IsolationForest(n_estimators=100, contamination='auto', random_state=42), + "Local Outlier Factor": LocalOutlierFactor(n_neighbors=20, contamination='auto'), + "Robust Covariance": EllipticEnvelope(support_fraction=1., contamination=0.1), + "One-Class SVM": OneClassSVM(kernel='linear', gamma=0.001, nu=0.05), +} + +"""### Traning the models""" + +# you should notice that LOF only has fit_predict method. +# Provide a for loop to walk on the models dict and train each of them one by one within the loop +for name, model in models.items(): + print(f"Training {name}...") + if name == "Local Outlier Factor": + # LOF has fit_predict which returns the predictions directly + y_pred = model.fit_predict(X_train) + else: + # For other models, fit on the training data + model.fit(X_train) + # Predict on the test set + y_pred = model.predict(X_test) + +"""### Evaluate the models +You can use the following setup as a guidline to evaluate and compare the performance of models. +""" + +for name, model in models.items(): + # Reshape the prediction values to 0 (normal) and 1 (fraud) + y_pred[y_pred == 1] = 0 + y_pred[y_pred == -1] = 1 + + # Calculate accuracy and other metrics + print(f"{name}:") + print(classification_report(y_test, y_pred)) + print("Accuracy:", accuracy_score(y_test, y_pred)) + print("-" * 30) + +"""### Interpretation +Highlight the best model performance and explain what caused this model can outperform others? +""" \ No newline at end of file diff --git a/a0.1/a15/New Text Document.txt b/a0.1/a15/New Text Document.txt new file mode 100644 index 0000000..757da14 --- /dev/null +++ b/a0.1/a15/New Text Document.txt @@ -0,0 +1,4 @@ +تمرین این جلسه (تکلیف ۱۵): +نوت‌بوک کلاسبندی متن را کپی کنید. با تغییرات هایپرپارامترها، روش embedding، یکی از مدلهای کلاسیک تا حد ممکن عملکرد مدل را بهبود بدید. فقط مدلهای کلاسیک برای کلاسبندی مجاز هستن. نتیجه را مثل تمارین قبلی به ریپوی مربوط ارسال کنید. + +نوت‌بوک تولید شعر فارسی با LSTM (https://colab.research.google.com/drive/1O8y6enaD8JjzKD1bazlRJqDJGecybpyA?usp=sharing) \ No newline at end of file diff --git a/a0.1/a15/TextClassification_aminran.ipynb b/a0.1/a15/TextClassification_aminran.ipynb new file mode 100644 index 0000000..aae276b --- /dev/null +++ b/a0.1/a15/TextClassification_aminran.ipynb @@ -0,0 +1,1067 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "4giSCbj0Th8C" + }, + "source": [ + "# Sentiment Analysis: FastText + Classical ML\n", + "\n", + "End-to-end sentiment classification using FastText embeddings with XGBoost and Random Forest.\n", + "\n", + "**Pipeline:** Data loading (IMDB) → Preprocessing → FastText embeddings → Training → Evaluation" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BRwbyb93Th8E" + }, + "source": [ + "## 1. Setup & Install Dependencies" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "myZnABTZTh8E", + "outputId": "043b49ca-01d5-4fce-ae71-8f797b84ac9a" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\u001b[?25l \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m0.0/73.4 kB\u001b[0m \u001b[31m?\u001b[0m eta \u001b[36m-:--:--\u001b[0m\r\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m73.4/73.4 kB\u001b[0m \u001b[31m2.1 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n", + "\u001b[?25h Installing build dependencies ... \u001b[?25l\u001b[?25hdone\n", + " Getting requirements to build wheel ... \u001b[?25l\u001b[?25hdone\n", + " Preparing metadata (pyproject.toml) ... \u001b[?25l\u001b[?25hdone\n", + " Building wheel for fasttext (pyproject.toml) ... \u001b[?25l\u001b[?25hdone\n", + "✓ All libraries ready\n" + ] + } + ], + "source": [ + "!pip install -q fasttext xgboost\n", + "\n", + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "from sklearn.model_selection import train_test_split\n", + "from sklearn.preprocessing import StandardScaler\n", + "from sklearn.ensemble import RandomForestClassifier\n", + "from sklearn.metrics import (\n", + " accuracy_score, precision_score, recall_score, f1_score,\n", + " confusion_matrix, classification_report\n", + ")\n", + "import xgboost as xgb\n", + "import fasttext\n", + "import re\n", + "\n", + "#2d projection\n", + "from sklearn.manifold import TSNE\n", + "\n", + "# for dataset\n", + "import tensorflow as tf\n", + "from tensorflow.keras.datasets import imdb\n", + "\n", + "import warnings\n", + "warnings.filterwarnings('ignore')\n", + "\n", + "plt.style.use('seaborn-v0_8-darkgrid')\n", + "sns.set_palette('husl')\n", + "\n", + "print(\"✓ All libraries ready\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "2Q3EAZ83Th8F" + }, + "source": [ + "## 2. Load IMDB Dataset" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 423 + }, + "id": "dFgvjd0lTh8G", + "outputId": "dbfe7fdd-893c-472f-c01f-6b3e91c11318" + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " review sentiment\n", + "0 this film was just brilliant casting l... 1\n", + "1 big hair big boobs bad music and a gia... 0\n", + "2 this has to be one of the worst films ... 0\n", + "3 the scots excel at storytelling the tr... 1\n", + "4 worst mistake of my life br br i picke... 0\n", + "... ... ...\n", + "24995 this is a racist movie but worthy of s... 1\n", + "24996 bela lugosi plays a doctor who will do... 0\n", + "24997 in a far away galaxy is a planet calle... 0\n", + "24998 six degrees had me hooked i looked for... 1\n", + "24999 as a big fan of the original film it's... 0\n", + "\n", + "[25000 rows x 2 columns]" + ], + "text/html": [ + "\n", + "
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    \n" + ], + "application/vnd.google.colaboratory.intrinsic+json": { + "type": "dataframe", + "variable_name": "df", + "summary": "{\n \"name\": \"df\",\n \"rows\": 25000,\n \"fields\": [\n {\n \"column\": \"review\",\n \"properties\": {\n \"dtype\": \"string\",\n \"num_unique_values\": 24902,\n \"samples\": [\n \" my family and i have viewed this movie often over the years it is clean wholesome heartbreaking and heartwarming showing us the compassion between two families of two countries thousands of miles apart and by the most uncanny of coincidences it's almost as if the hand of god had to be intervening br br 5 yo who plays desi the heart stricken little girl does a magnificent job of acting her part and for me she was the choice for the lead role br br all in all a 10 out of 10 there are no to this sweet human story children of all ages will then watch this and it will bring the viewing family together with smiles and good feelings\",\n \" forget the campy movies that have the television film market this movie has a real feel to it while it may be deemed as a movie that has cheap emotional draws it also has that message of forgiveness and overall good morals however i did not like the lighting in this movie for a movie dealing with such subject matter it was too bright i felt it took away from the overall appeal of the movie which is almost an unforgivable sin but the recognizable cast and their performances this oversight br br definitely worth seeing buy the dvd\",\n \" the is an entertaining western no doubt a classic which is actual even today gary cooper is wild bill hickok ideal for the role together with john wayne and james stewart they were the best actors that played western heroes in their generation jean arthur is great as calamity jane nobody that i know played it better than her even if might not be historically accurate the film manages to capture the most important about hickok and about the time it takes place sometimes you have to sacrifice history to make your point and that is what demille does here the friendship of hickok with buffalo bill the selling of rifles to the indians by a great to compensate for the losses he would have because of the end of the civil war custer and little big horn the uneasy relationship between buffalo bill's wife a religious woman with hickok a man who had killed plenty also the unusual love affair between hickok and calamity all this makes 'the a non conventional and interesting film anthony quinn has a very short appearance that already shows what a great actor he was going to become a lot of care was taken to show the original guns of that time\"\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"sentiment\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0,\n \"min\": 0,\n \"max\": 1,\n \"num_unique_values\": 2,\n \"samples\": [\n 0,\n 1\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n }\n ]\n}" + } + }, + "metadata": {}, + "execution_count": 18 + } + ], + "source": [ + "import numpy as np\n", + "from tensorflow.keras.datasets import imdb\n", + "from tensorflow.keras.preprocessing.sequence import pad_sequences\n", + "\n", + "# Load dataset\n", + "(X_train, y_train), (X_test, y_test) = imdb.load_data(num_words=20000)\n", + "\n", + "word_index = imdb.get_word_index()\n", + "index_word = {v + 3: k for k, v in word_index.items()}\n", + "index_word[0] = \"\"\n", + "index_word[1] = \"\"\n", + "index_word[2] = \"\"\n", + "\n", + "def decode_review(sequence):\n", + " return \" \".join([index_word.get(i, \"\") for i in sequence])\n", + "\n", + "X_train_text = [decode_review(x) for x in X_train]\n", + "X_test_text = [decode_review(x) for x in X_test]\n", + "\n", + "df = pd.DataFrame(X_train_text, columns=['review'])\n", + "df['sentiment'] = y_train" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "_hD-4mrtTh8G" + }, + "source": [ + "### Data Visualization" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 581 + }, + "id": "v7I15D4bTh8G", + "outputId": "50478cfc-8842-4450-d34a-79aac548d506" + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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AAAAAsDlCKQAAAAAAANgcoRQAAAAAAABsjlAKAAAAAAAANkcoBQAAAAAAAJsjlAIAAAAAAIDNEUoBAAAAAADA5v4fF3ORp0MVzIUAAAAASUVORK5CYII=\n" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Review length statistics:\n", + "count 25000.000000\n", + "mean 238.710480\n", + "std 176.492037\n", + "min 11.000000\n", + "25% 130.000000\n", + "50% 178.000000\n", + "75% 291.000000\n", + "max 2494.000000\n", + "Name: review_length, dtype: float64\n" + ] + } + ], + "source": [ + "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", + "\n", + "sentiment_counts = df['sentiment'].value_counts().sort_index()\n", + "axes[0].bar(['Negative', 'Positive'], sentiment_counts.values, color=['#e74c3c', '#2ecc71'], alpha=0.8, edgecolor='black')\n", + "axes[0].set_ylabel('Count', fontsize=11)\n", + "axes[0].set_title('Sentiment Distribution', fontsize=12, fontweight='bold')\n", + "axes[0].grid(axis='y', alpha=0.3)\n", + "\n", + "df['review_length'] = df['review'].str.split().str.len()\n", + "axes[1].hist(df['review_length'], bins=30, color='#3498db', edgecolor='black', alpha=0.7)\n", + "axes[1].set_xlabel('Number of Words', fontsize=11)\n", + "axes[1].set_ylabel('Frequency', fontsize=11)\n", + "axes[1].set_title('Review Length Distribution', fontsize=12, fontweight='bold')\n", + "axes[1].grid(axis='y', alpha=0.3)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n", + "\n", + "print(f\"Review length statistics:\")\n", + "print(df['review_length'].describe())" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "nFxMyGveTh8G" + }, + "source": [ + "## 3. Text Preprocessing" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "id": "J7L7QpsqTh8H" + }, + "outputs": [], + "source": [ + "import re\n", + "\n", + "def clean_text(text):\n", + " text = text.lower()\n", + " text = re.sub(r\"[^a-z\\s]\", \"\", text)\n", + " return text.split()\n", + "\n", + "X_train_tokens = [clean_text(x) for x in X_train_text]\n", + "X_test_tokens = [clean_text(x) for x in X_test_text]\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "lOBzdRr7Th8H" + }, + "source": [ + "## 4. FastText Embeddings" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "WYVom7O-Th8H", + "outputId": "0870eb01-2e0e-4d26-ea54-74545aacda07" + }, + "outputs": [ + { + "metadata": { + "tags": null + }, + "name": "stdout", + "output_type": "stream", + "text": [ + "Requirement already satisfied: gensim in /usr/local/lib/python3.12/dist-packages (4.4.0)\n", + "Requirement already satisfied: numpy>=1.18.5 in /usr/local/lib/python3.12/dist-packages (from gensim) (2.0.2)\n", + "Requirement already satisfied: scipy>=1.7.0 in /usr/local/lib/python3.12/dist-packages (from gensim) (1.16.3)\n", + "Requirement already satisfied: smart_open>=1.8.1 in /usr/local/lib/python3.12/dist-packages (from gensim) (7.5.0)\n", + "Requirement already satisfied: wrapt in /usr/local/lib/python3.12/dist-packages (from smart_open>=1.8.1->gensim) (2.0.1)\n" + ] + } + ], + "source": [ + "! pip install gensim\n", + "from gensim.models import FastText\n", + "\n", + "fasttext_model = FastText(\n", + " sentences=X_train_tokens,\n", + " vector_size=100,\n", + " window=5,\n", + " min_count=5,\n", + " workers=4,\n", + " sg=1 # Skip-gram\n", + ")\n", + "\n", + "\n", + "print(f\"✓ Training file created\")" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "id": "-yCHwnudTh8H" + }, + "outputs": [], + "source": [ + "def sentence_vector(tokens, model, vector_size=100):\n", + " vectors = [\n", + " model.wv[word] for word in tokens if word in model.wv\n", + " ]\n", + " if len(vectors) == 0:\n", + " return np.zeros(vector_size)\n", + " return np.mean(vectors, axis=0)\n", + "\n", + "X_train_vec = np.array([\n", + " sentence_vector(tokens, fasttext_model)\n", + " for tokens in X_train_tokens\n", + "])\n", + "\n", + "X_test_vec = np.array([\n", + " sentence_vector(tokens, fasttext_model)\n", + " for tokens in X_test_tokens\n", + "])\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "o1A0_Q0oTh8I" + }, + "source": [ + "## 6. Model Training" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Unir9y1mTh8I", + "outputId": "1961e637-1ef5-4891-fbc8-5dd915ecfa7e" + }, + "outputs": [ + { + "metadata": { + "tags": null + }, + "name": "stdout", + "output_type": "stream", + "text": [ + "Training XGBoost...\n", + "XGBoost Accuracy: 0.85316\n" + ] + } + ], + "source": [ + "print(\"Training XGBoost...\")\n", + "import xgboost as xgb\n", + "from sklearn.metrics import accuracy_score\n", + "\n", + "xgb_model = xgb.XGBClassifier(\n", + " n_estimators=600,\n", + " max_depth=8,\n", + " learning_rate=0.03,\n", + " subsample=0.9,\n", + " colsample_bytree=0.9,\n", + " min_child_weight=3,\n", + " gamma=0.1,\n", + " reg_alpha=0.1,\n", + " reg_lambda=1.0,\n", + " tree_method=\"hist\"\n", + ")\n", + "\n", + "xgb_model.fit(X_train_vec, y_train)\n", + "xgb_preds = xgb_model.predict(X_test_vec)\n", + "\n", + "print(\"XGBoost Accuracy:\", accuracy_score(y_test, xgb_preds))\n", + "\n", + "\n" + ], + "execution_count": 10 + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Bz1DKNpgTh8I", + "outputId": "2ed44f7a-3d6b-4fff-c46e-46a3f292858a" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Training Random Forest...\n", + "Random Forest Accuracy: 0.82696\n", + "✓ Random Forest trained!\n" + ] + } + ], + "source": [ + "print(\"Training Random Forest...\")\n", + "\n", + "from sklearn.ensemble import RandomForestClassifier\n", + "\n", + "rf_model = RandomForestClassifier(\n", + " n_estimators=300,\n", + " max_depth=25,\n", + " random_state=42,\n", + " n_jobs=-1\n", + ")\n", + "\n", + "rf_model.fit(X_train_vec, y_train)\n", + "rf_preds = rf_model.predict(X_test_vec)\n", + "\n", + "print(\"Random Forest Accuracy:\", accuracy_score(y_test, rf_preds))\n", + "\n", + "\n" + ], + "execution_count": 9 + }, + { + "cell_type": "markdown", + "metadata": { + "id": "IVrjr5vcTh8I" + }, + "source": [ + "## 7. Model Evaluation" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "zVUhTrNHTh8I", + "outputId": "1a8ece88-b0fb-446c-8d35-f9210fb950a2" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "MODEL PERFORMANCE\n", + "===========================================================================\n", + " Model Accuracy Precision Recall F1-Score\n", + " XGBoost 0.85316 0.855979 0.8492 0.852576\n", + "Random Forest 0.82696 0.824726 0.8304 0.827553\n", + "===========================================================================\n" + ] + } + ], + "source": [ + "def evaluate_model(y_true, y_pred, model_name):\n", + " metrics = {\n", + " 'Model': model_name,\n", + " 'Accuracy': accuracy_score(y_true, y_pred),\n", + " 'Precision': precision_score(y_true, y_pred),\n", + " 'Recall': recall_score(y_true, y_pred),\n", + " 'F1-Score': f1_score(y_true, y_pred)\n", + " }\n", + " return metrics\n", + "\n", + "results = []\n", + "results.append(evaluate_model(y_test, xgb_preds, 'XGBoost'))\n", + "results.append(evaluate_model(y_test, rf_preds, 'Random Forest'))\n", + "\n", + "results_df = pd.DataFrame(results)\n", + "print(\"\\nMODEL PERFORMANCE\")\n", + "print(\"=\"*75)\n", + "print(results_df.to_string(index=False))\n", + "print(\"=\"*75)" + ], + "execution_count": 12 + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 407 + }, + "id": "UP-akPydTh8I", + "outputId": "ad7c987a-36c2-457d-ee2b-b1b8ca6ddb11" + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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+ }, + "metadata": {} + } + ], + "source": [ + "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", + "\n", + "predictions = [\n", + " ('XGBoost', xgb_preds),\n", + " ('Random Forest', rf_preds)\n", + "]\n", + "\n", + "for idx, (model_name, y_pred) in enumerate(predictions):\n", + " cm = confusion_matrix(y_test, y_pred)\n", + " sns.heatmap(\n", + " cm, annot=True, fmt='d', cmap='Blues', ax=axes[idx],\n", + " xticklabels=['Negative', 'Positive'],\n", + " yticklabels=['Negative', 'Positive'],\n", + " cbar=False,\n", + " annot_kws={'size': 12, 'weight': 'bold'}\n", + " )\n", + " axes[idx].set_title(f'{model_name} Confusion Matrix', fontsize=12, fontweight='bold')\n", + " axes[idx].set_ylabel('True Label', fontsize=11)\n", + " axes[idx].set_xlabel('Predicted Label', fontsize=11)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ], + "execution_count": 13 + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "-sLogIIkTh8I", + "outputId": "0905ffd3-4218-48bf-feea-51f22bc882b2" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "DETAILED CLASSIFICATION REPORT - XGBoost\n", + "===========================================================================\n", + " precision recall f1-score support\n", + "\n", + " Negative 0.8504 0.8571 0.8537 12500\n", + " Positive 0.8560 0.8492 0.8526 12500\n", + "\n", + " accuracy 0.8532 25000\n", + " macro avg 0.8532 0.8532 0.8532 25000\n", + "weighted avg 0.8532 0.8532 0.8532 25000\n", + "\n", + "\n", + "DETAILED CLASSIFICATION REPORT - Random Forest\n", + "===========================================================================\n", + " precision recall f1-score support\n", + "\n", + " Negative 0.8292 0.8235 0.8264 12500\n", + " Positive 0.8247 0.8304 0.8276 12500\n", + "\n", + " accuracy 0.8270 25000\n", + " macro avg 0.8270 0.8270 0.8270 25000\n", + "weighted avg 0.8270 0.8270 0.8270 25000\n", + "\n" + ] + } + ], + "source": [ + "print(\"\\nDETAILED CLASSIFICATION REPORT - XGBoost\")\n", + "print(\"=\"*75)\n", + "print(classification_report(\n", + " y_test, xgb_preds,\n", + " target_names=['Negative', 'Positive'],\n", + " digits=4\n", + "))\n", + "\n", + "print(\"\\nDETAILED CLASSIFICATION REPORT - Random Forest\")\n", + "print(\"=\"*75)\n", + "print(classification_report(\n", + " y_test, rf_preds,\n", + " target_names=['Negative', 'Positive'],\n", + " digits=4\n", + "))" + ], + "execution_count": 14 + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 607 + }, + "id": "OdAD3Yo8Th8I", + "outputId": "db30b853-654e-4e60-8d68-bdc3898c1dab" + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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\n" + }, + "metadata": {} + } + ], + "source": [ + "importance_xgb = xgb_model.feature_importances_\n", + "importance_indices = np.argsort(importance_xgb)[-12:]\n", + "\n", + "fig, ax = plt.subplots(figsize=(10, 6))\n", + "ax.barh(range(len(importance_indices)), importance_xgb[importance_indices], color='#e74c3c', alpha=0.8, edgecolor='black')\n", + "ax.set_yticks(range(len(importance_indices)))\n", + "ax.set_yticklabels([f'Feature {i}' for i in importance_indices], fontsize=10)\n", + "ax.set_xlabel('Importance Score', fontsize=11, fontweight='bold')\n", + "ax.set_title('Top 12 Important FastText Features (XGBoost)', fontsize=12, fontweight='bold')\n", + "ax.grid(axis='x', alpha=0.3)\n", + "\n", + "for i, v in enumerate(importance_xgb[importance_indices]):\n", + " ax.text(v + 0.002, i, f'{v:.4f}', va='center', fontsize=9)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "-wPJ1eKBTh8I", + "outputId": "7cdde62c-e607-4b19-b5f3-ca71e8b50747" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "FINAL SUMMARY\n", + "===========================================================================\n", + "\n", + "Dataset: 25000 sentiment-labeled reviews\n", + "Embeddings: FastText (100-dim, bigrams)\n", + "Test set size: 25000 samples\n", + "\n", + "Best Model: XGBoost\n", + " Accuracy: 0.8532\n", + " Precision: 0.8560\n", + " Recall: 0.8492\n", + " F1-Score: 0.8526\n", + "\n", + "===========================================================================\n" + ] + } + ], + "source": [ + "print(\"\\nFINAL SUMMARY\")\n", + "print(\"=\"*75)\n", + "print(f\"\\nDataset: {len(df)} sentiment-labeled reviews\")\n", + "print(f\"Embeddings: FastText (100-dim, bigrams)\")\n", + "print(f\"Test set size: {len(y_test)} samples\")\n", + "\n", + "best_idx = results_df['Accuracy'].idxmax()\n", + "best_model = results_df.iloc[best_idx]['Model']\n", + "best_acc = results_df.iloc[best_idx]['Accuracy']\n", + "\n", + "print(f\"\\nBest Model: {best_model}\")\n", + "print(f\" Accuracy: {best_acc:.4f}\")\n", + "print(f\" Precision: {results_df.iloc[best_idx]['Precision']:.4f}\")\n", + "print(f\" Recall: {results_df.iloc[best_idx]['Recall']:.4f}\")\n", + "print(f\" F1-Score: {results_df.iloc[best_idx]['F1-Score']:.4f}\")\n", + "\n", + "print(\"\\n\" + \"=\"*75)" + ], + "execution_count": 21 + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python3" + }, + "colab": { + "provenance": [] + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} \ No newline at end of file diff --git a/a0.1/assignment 01_farshidshariatnezhad.py b/a0.1/assignment 01_farshidshariatnezhad.py new file mode 100644 index 0000000..6ed7615 --- /dev/null +++ b/a0.1/assignment 01_farshidshariatnezhad.py @@ -0,0 +1,144 @@ +# -*- coding: utf-8 -*- +"""Assignment 01_farshidshariatnezhad/.ipynb + +Automatically generated by Colab. + +Original file is located at + https://colab.research.google.com/drive/10CKjN5Nny_N4XSf9SBL3Szw4Vg3l8gBm +""" + +# دریافت دمای سلسیوس به صورت متن +celsius_temp = input("Enter temperature in Celsius: ") + +# تبدیل دما به float +celsius_temp = float(celsius_temp) + +# محاسبه دما به فارنهایت +fahrenheit_temp = (celsius_temp * 9/5) + 32 + +# چاپ نتیجه به صورت فرمت‌شده +print(f"The temperature is {celsius_temp}°C, which is {fahrenheit_temp:.2f}°F.") + +# ذخیره دو عدد از انواع مختلف +num_int = 5 # عدد صحیح +num_float = 3.2 # عدد اعشاری + +# محاسبه و چاپ عملیات‌ها +sum_result = num_int + num_float +difference_result = num_int - num_float +product_result = num_int * num_float +true_division_result = num_int / num_float +floor_division_result = num_int // num_float + +# چاپ نتایج +print(f"Sum: {sum_result}") +print(f"Difference: {difference_result}") +print(f"Product: {product_result}") +print(f"True Division: {true_division_result}") +print(f"Floor Division: {floor_division_result}") + +# 1. شروع با یک لیست خالی +shopping_list = [] + +# 2. اضافه کردن حداقل 4 آیتم به لیست از ورودی کاربر +shopping_list_input = input("Enter at least 4 items (comma-separated): ") +shopping_list = shopping_list_input.split(',') # تبدیل ورودی به لیست + +# 3. تبدیل لیست به تاپل به نام immutable_basket +immutable_basket = tuple(shopping_list) + +# 4. چاپ سومین آیتم از تاپل +print(f"The third item in the basket is: {immutable_basket[2]}") + +sample = "to be or not to be that is the question" + +# 1. ساخت یک set برای کلمات منحصر به فرد +unique_words = set(sample.split()) + +# 2. ساخت یک دیکشنری برای شمارش تعداد تکرار هر کلمه +word_counts = {} +for word in sample.split(): + word_counts[word] = word_counts.get(word, 0) + 1 + +# 3. چاپ هر دو ساختار داده +print("Unique Words (set):", unique_words) +print("Word Counts (dict):", word_counts) + +# توضیح تفاوت اصلی: +# - Set تنها کلمات منحصر به فرد را نگه می‌دارد و ترتیب کلمات مهم نیست. +# - Dictionary هر کلمه را به تعداد تکرار آن مرتبط می‌کند و ترتیب در آن حفظ می‌شود. + +import math + +def is_prime(n: int) -> bool: + """ + Return True if n is a prime number, else False. + 0 and 1 are *not* prime. + """ + # 0 و 1 اعداد اول نیستند + if n <= 1: + return False + + # چک کردن تقسیم‌پذیری از 2 تا √n + for i in range(2, int(math.sqrt(n)) + 1): + if n % i == 0: + return False # اگر به عددی غیر از 1 و خود n تقسیم شد، عدد اول نیست + + return True # اگر هیچ تقسیم‌پذیری پیدا نشد، عدد اول است + +# Quick self-check +print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7] + +def greet(name: str, times: int = 1) -> None: + """Print `name`, capitalised, exactly `times` times on one line.""" + # تبدیل نام به حرف بزرگ و چاپ آن times بار + print(" ".join([name.capitalize()] * times)) + +# تست کد: +greet("alice") # Alice +greet("bob", times=3) # Bob Bob Bob + +class Counter: + """Counts how many times `increment` is called.""" + + def __init__(self): + # 1. شمارنده داخلی را با مقدار 0 مقداردهی اولیه می‌کنیم + self.count = 0 + + def increment(self, step: int = 1): + # 2. به شمارنده مقدار step را اضافه می‌کنیم + self.count += step + + def value(self): + # 3. مقدار فعلی شمارنده را برمی‌گردانیم + return self.count + +# تست کد: +c = Counter() +for _ in range(5): + c.increment() +print(c.value()) # Expected: 5 + +import math + +class Point: + """ + A 2-D point supporting distance calculation. + Usage: + p = Point(3, 4) + q = Point(0, 0) + print(p.distance_to(q)) # 5.0 + """ + + def __init__(self, x: float, y: float): + # 1. ذخیره مختصات x و y به عنوان ویژگی‌ها + self.x = x + self.y = y + + def distance_to(self, other: 'Point') -> float: + # 2. محاسبه فاصله با استفاده از فرمول اقلیدسی + return math.sqrt((self.x - other.x) ** 2 + (self.y - other.y) ** 2) + +# Smoke test +p, q = Point(3, 4), Point(0, 0) +assert round(p.distance_to(q), 1) == 5.0 \ No newline at end of file diff --git a/a0.1/assignment0.10_MohammadMasoumi2006.py b/a0.1/assignment0.10_MohammadMasoumi2006.py new file mode 100644 index 0000000..0cf80b0 --- /dev/null +++ b/a0.1/assignment0.10_MohammadMasoumi2006.py @@ -0,0 +1,91 @@ +# -*- coding: utf-8 -*- +"""Assignment 06. Descriptive Stats | Nexus | RezaShokrzad.ipynb + +Automatically generated by Colab. + +Original file is located at + https://colab.research.google.com/drive/1OvU9YInN5-pQcMXiYHzP1Jz6N076r-Ti + +# 📚 Assignment 06 — Descriptive Statistics + + +

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    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    + +

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    + +------------------------------------------------ + + + +## 📘 Exploring Descriptive Statistics with NumPy & SciPy +This assignment guides you through generating random data, analyzing its statistical properties, and visualizing it using plots. +""" + +# 📦 Import Required Libraries +import numpy as np +from scipy import stats +import matplotlib.pyplot as plt + +# 🎲 Step 1: Generate Random Integer List +np.random.seed(42) # For reproducibility +data = np.random.randint(20, 40, size=30) +print("Generated Data:", data) + +"""### 📊 Step 2: Central Tendency and Quantiles +Let's compute basic statistics — mean, median, mode, and quantiles. +""" + +# 📐 Central Tendency +# mean +mean_val = np.mean(data) +# median +median_val = np.median(data) +# mode +mode_val = stats.mode(data, keepdims=True).mode[0] + +# 📏 Quantiles +q1 = np.quantile(data, 0.25) +q3 = np.quantile(data, 0.75) + +print(f"Mean: {mean_val}") +print(f"Median: {median_val}") +print(f"Mode: {mode_val}") +print(f"Q1 (25%): {q1}") +print(f"Q3 (75%): {q3}") + +"""### 🧪 Step 3: Skewness and Kurtosis +Skewness shows asymmetry, and kurtosis indicates the "tailedness" of the distribution. +""" + +# 📉 Skewness and Kurtosis +skew_val =stats.skew(data) +kurtosis_val =stats.kurtosis(data) + +print(f"Skewness: {skew_val:.2f}") +print(f"Kurtosis: {kurtosis_val:.2f}") + +"""### 📈 Step 4: Visualization - Bar Chart and Boxplot +Visualize the data to better understand its distribution and spread. +""" + +# 📊 Bar Plot +plt.figure(figsize=(12, 4)) + +plt.subplot(1, 2, 1) +# make a bar chart +plt.bar(range(len(data)), data) +plt.title("Bar Plot of Random Data") +plt.xlabel("Index") +plt.ylabel("Value") + +# 📦 Boxplot +plt.subplot(1, 2, 2) +# make a box plot +plt.boxplot(data, vert=False) +plt.title("Boxplot of Random Data") +plt.xlabel("Value") + +plt.tight_layout() +plt.show() \ No newline at end of file diff --git a/a0.1/assignment01_MohammadMasoumi2006.py b/a0.1/assignment01_MohammadMasoumi2006.py new file mode 100644 index 0000000..bbfe7a2 --- /dev/null +++ b/a0.1/assignment01_MohammadMasoumi2006.py @@ -0,0 +1,215 @@ +# -*- coding: utf-8 -*- +"""Assignment 01. Python | Nexus | RezaShokrzad.ipynb + +Automatically generated by Colab. + +Original file is located at + https://colab.research.google.com/drive/1PHW5WZ1eMJVDuFL2QTtMEkdiZAaF4xQL + +# 📚 Assignment 1 — Python Fundamentals + +

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    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

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    + +------------------------------------------------ +Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily: + +1. Variable types + +2. Core containers + +3. Functions + +4. Classes + +Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊 + +## 1. Variable Types 🧮 +**Quick-start notes** + +* Primitive types: `int`, `float`, `str`, `bool` + +* Use `type(obj)` to inspect an object’s type. + +* Casting ↔ converting: `int("3")`, `str(3.14)`, `bool(0)`, etc. + +### Task 1 — Celsius → Fahrenheit +""" + +# 👉 a Celsius temperature (as text), convert it to float, +# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line. +celsiue_str = "27" +celsius = float(celsiue_str) +fahrenhite = celsius * 9 / 5 +32 + +print (f"{celsius} is equal to {fahrenhite}") + +"""### Task 2 — Tiny Calculator + +""" + +# 👉 Store two numbers of **different types** (one int, one float), +# then print their sum, difference, product, true division, and floor division. +num1 = 12 +num2 = 3.14 +print("sum :", num1 + num2) +print("diffenece: ", num1 - num2) +print("multiplication :", num1 * num2) +print("rue Division: " , num1 / num2) +print("loor Division: " ,num1 // num2) + +"""## 2. Containers 📦 (list, tuple, set, dict) +**Quick-start notes** + +| Container | Mutable? | Ordered? | Typical use | +| --------- | -------- | ----------------------------- | --------------------------------- | +| `list` | ✔ | ✔ | Growth, indexing, slicing | +| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys | +| `set` | ✔ | ✖ | Deduplication, membership tests | +| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups | + +### Task 1 — Grocery Basket +""" + +# Start with an empty shopping list (list). +# 1. Append at least 4 items supplied in one line of user input (comma-separated). +# 2. Convert the list to a *tuple* called immutable_basket. +# 3. Print the third item using tuple indexing. +buy_list = [] +buy_list.extend(["apple","banana","watermelon","orange"]) +immutable_basket = tuple(buy_list) +print(immutable_basket[2]) + +"""### Task 2 — Word Stats""" + +sample = "to be or not to be that is the question" + +# 1. Build a set `unique_words` containing every distinct word. +# 2. Build a dict `word_counts` mapping each word to the number of times it appears. +# (Hint: .split() + a simple loop) +# 3. Print the two structures and explain (in a comment) their main difference. +sample = "to be or not to be that is the question" + +# جدا کردن کلمات +words = sample.split() + +# ساختن مجموعه کلمات یکتا +unique_words = set(words) + +# ساختن دیکشنری شمارش کلمات +word_counts = {} +for word in words: + word_counts[word] = word_counts.get(word, 0) + 1 + +# چاپ خروجی‌ها +print("Unique words:", unique_words) +print("Word counts:", word_counts) + +# تفاوت اصلی: +# مجموعه فقط کلمات یکتا دارد. +# دیکشنری تعداد تکرار هر کلمه را نشان می‌دهد. + +"""## 3. Functions 🔧 +**Quick-start notes** + +* Define with `def`, return with `return`. + +* Parameters can have default values. + +* Docstrings (`''' … '''`) document behaviour. + +### Task 1 — Prime Tester +""" + +def is_prime(n: int) -> bool: + """ + Return True if n is a prime number, else False. + 0 and 1 are *not* prime. + """ + if n < 2: + return False + + for i in range(2, int(n ** 0.5) + 1): + if n % i == 0: + return False + + return True + +print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7] + +"""### Task 2 — Repeater Greeter""" + +def greet(name: str, times: int = 1) -> None: + """Print `name`, capitalised, exactly `times` times on one line.""" + + capitalized_name = name.capitalize() + + + repeated_names = [capitalized_name] * times + + + print(" ".join(repeated_names)) + +# تست تابع +greet("alice") # خروجی: Alice +greet("bob", times=3) # خروجی: Bob Bob Bob + +"""## 4. Classes 🏗️ +**Quick-start notes** + +* Create with class Name: + +* Special method __init__ runs on construction. + +* self refers to the instance; attributes live on self. + +### Task 1 — Simple Counter +""" + +class Counter: + """Counts how many times `increment` is called.""" + + def __init__(self): + self.count = 0 + + def increment(self, step: int = 1): + self.count += step + + def value(self): + return self.count + + + +c = Counter() +for _ in range(5): + c.increment() +print(c.value()) # Expected: 5 + +"""### Task 2 — 2-D Point with Distance""" + +import math + +class Point: + """ + A 2-D point supporting distance calculation. + Usage: + p = Point(3, 4) + q = Point(0, 0) + print(p.distance_to(q)) # 5.0 + """ + def __init__(self, x, y): + self.x = x + self.y = y + + def distance_to(self, other): + dx = self.x - other.x + dy = self.y - other.y + return math.sqrt(dx ** 2 + dy ** 2) + +# Smoke test +p, q = Point(3, 4), Point(0, 0) +assert round(p.distance_to(q), 1) == 5.0 +print("Distance:", p.distance_to(q)) # Optional print to see result \ No newline at end of file diff --git a/a0.1/assignments_danial022/Assignment 03_04_danial022.ipynb b/a0.1/assignments_danial022/Assignment 03_04_danial022.ipynb new file mode 100644 index 0000000..6939d47 --- /dev/null +++ b/a0.1/assignments_danial022/Assignment 03_04_danial022.ipynb @@ -0,0 +1 @@ +{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[{"file_id":"1B7SFUa4M8t0UL57wLk0NurRnn7vXDuAG","timestamp":1763724497407}]},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"markdown","source":["## 1. Log and Exp: Proving Inverse Relationship\n"],"metadata":{"id":"cCb1hk3xe0E6"}},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"KOxJ9f-3eu5F","executionInfo":{"status":"ok","timestamp":1763721511306,"user_tz":-210,"elapsed":19,"user":{"displayName":"Danial Kamali","userId":"04423418101469736667"}},"outputId":"3c3fd318-a088-46eb-e26e-ed8ebb70bbcf"},"outputs":[{"output_type":"stream","name":"stdout","text":["x\tlog(exp(x))\texp(log(x))\n","1.00\t1.00\t\t1.00\n","2.00\t2.00\t\t2.00\n","3.00\t3.00\t\t3.00\n","2.72\t2.72\t\t2.72\n","\n","log(exp(y)) for 0 and negative values:\n","[ 0. -1. 5.]\n","[ -inf nan 1.60943791]\n"]},{"output_type":"stream","name":"stderr","text":["/tmp/ipython-input-9342166.py:13: RuntimeWarning: divide by zero encountered in log\n"," print(np.log(y_vals))\n","/tmp/ipython-input-9342166.py:13: RuntimeWarning: invalid value encountered in log\n"," print(np.log(y_vals))\n"]}],"source":["import numpy as np\n","\n","# Show log(exp(x)) == x and exp(log(x)) == x for several values\n","x_vals = np.array([1, 2, 3, np.e])\n","print(\"x\\tlog(exp(x))\\texp(log(x))\")\n","for x in x_vals:\n"," print(f\"{x:.2f}\\t{np.log(np.exp(x)):.2f}\\t\\t{np.exp(np.log(x)):.2f}\")\n","\n","# Edge case: try negative and zero values (show error/NaN for log)\n","y_vals = np.array([0, -1, 5])\n","print(\"\\nlog(exp(y)) for 0 and negative values:\")\n","print(np.log(np.exp(y_vals)))\n","print(np.log(y_vals))"]},{"cell_type":"markdown","source":["### 👀🔎 What do you see?\n","\n","#### **your answer:** در رابطه ی اثبات معکوس بودن لگاریتم و تابع نمایی به ازای همه مقادیر نتیجه معتبر است ولی برای لگاریتم اگر اعداد 0 یا منفی وارد کنیم نتیجه معتبر نمیباشد"],"metadata":{"id":"lVZufz08g1hI"}},{"cell_type":"markdown","source":["## 2. Plotting Sine Functions Variations\n","\n"],"metadata":{"id":"mOAqtnk6fDH6"}},{"cell_type":"code","source":["import matplotlib.pyplot as plt\n","\n","x = np.linspace(-2*np.pi, 2*np.pi, 400)\n","\n","# look at the description of each function and call the proper function from numpy\n","plt.plot(x, np.sin(x), label='sin(x)')\n","plt.plot(x, np.sin(2*x), label='sin(2x)')\n","plt.plot(x, np.sin(x/2), label='sin(x/2)')\n","plt.plot(x, np.sin(x)**2, label='sin²(x)')\n","plt.legend()\n","plt.title(\"Variations of Sine Functions\")\n","plt.show()\n"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":452},"id":"DoWdSehie66R","executionInfo":{"status":"ok","timestamp":1763722043900,"user_tz":-210,"elapsed":936,"user":{"displayName":"Danial Kamali","userId":"04423418101469736667"}},"outputId":"1012bf9a-1911-409d-dd12-71967277644a"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["
    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\n"},"metadata":{}}]},{"cell_type":"markdown","source":["### 👀🔎 What do you see?\n","\n","#### **your answer:** در اینجا نشان داده شده با تابع سینوس ضرب در 2 فشرده تر شده و فرکانس بالاتری دارد در تقیم بر 2 تابع کشیده تر شده و با رسیدن به توان 2 چون منفی نمیشود مقدار فقط بین 0 تا 1 است"],"metadata":{"id":"dMVcqrfihf0P"}},{"cell_type":"markdown","source":["## 3. Subplots: Trig, Inverse, Exp, and Log"],"metadata":{"id":"4-5A1OkdfHXq"}},{"cell_type":"code","source":["x = np.linspace(-1, 1, 400)\n","x2 = np.linspace(0.1, 2, 400) # For log and exp\n","\n","# based on the number of subplots what should be the dimensions in the following line?\n","fig, axs = plt.subplots(2, 4, figsize=(16, 8))\n","axs[0,0].plot(x, np.sin(x)); axs[0,0].set_title(\"sin(x)\")\n","axs[0,1].plot(x, np.cos(x)); axs[0,1].set_title(\"cos(x)\")\n","axs[0,2].plot(x, np.tan(x)); axs[0,2].set_title(\"tan(x)\")\n","axs[0,3].plot(x, np.arcsin(x)); axs[0,3].set_title(\"arcsin(x)\")\n","axs[1,0].plot(x, np.arccos(x)); axs[1,0].set_title(\"arccos(x)\")\n","axs[1,1].plot(x, np.arctan(x)); axs[1,1].set_title(\"arctan(x)\")\n","axs[1,2].plot(x2, np.exp(x2)); axs[1,2].set_title(\"exp(x)\")\n","axs[1,3].plot(x2, np.log(x2)); axs[1,3].set_title(\"log(x)\")\n","\n","plt.tight_layout()\n","plt.show()\n"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":807},"id":"DxocsCu6fGOR","executionInfo":{"status":"ok","timestamp":1763722603571,"user_tz":-210,"elapsed":7302,"user":{"displayName":"Danial Kamali","userId":"04423418101469736667"}},"outputId":"fde33bc8-dbd9-4bbc-c65e-836b4e24c43c"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["
    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👀🔎 What do you see?\n","\n","#### **your answer:** توابع سینوس و تانژانت معکوس شبیه هم هستند توابع سینوس معکوس و تانژانت شبیه هم هستند و توابع لگاریتم و نمایی معکوس یکدیگر هستند"],"metadata":{"id":"thpsEzFVikPh"}},{"cell_type":"markdown","source":["## 4. Features of the Sigmoid Function"],"metadata":{"id":"WAidrU51fMqB"}},{"cell_type":"code","source":["\n","def sigmoid(x):\n"," return 1 / (1 + np.exp(-x))\n","\n","x = np.linspace(-10, 10, 200)\n","y = sigmoid(x)\n","\n","plt.plot(x, y)\n","plt.title(\"Sigmoid Function\")\n","plt.xlabel(\"x\")\n","plt.ylabel(\"σ(x)\")\n","plt.grid(True)\n","plt.show()\n","\n","print(\"Range:\", (y.min(), y.max()), \"| At x=0:\", sigmoid(0))\n"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":489},"id":"lehJV_vNfLXx","executionInfo":{"status":"ok","timestamp":1763723376339,"user_tz":-210,"elapsed":1892,"user":{"displayName":"Danial Kamali","userId":"04423418101469736667"}},"outputId":"b4a86926-50a2-4d95-f2e7-7293f112da06"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["
    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\n"},"metadata":{}},{"output_type":"stream","name":"stdout","text":["Range: (np.float64(4.5397868702434395e-05), np.float64(0.9999546021312976)) | At x=0: 0.5\n"]}]},{"cell_type":"markdown","source":["### 👀🔎 What do you see?\n","\n","#### **your answer:** یک تابع بین 0 و1 که مقادیر مثبت بزرگ را نزدیک به 1 و مقادیر منفی بزرگ را نزدیک به صفر نشان میدهد"],"metadata":{"id":"DUONuiAxilL0"}},{"cell_type":"markdown","source":["## 5. Derivatives of Famous Functions"],"metadata":{"id":"1FjRt_31fXsx"}},{"cell_type":"markdown","source":[],"metadata":{"id":"zQOM4k_DHYcj"}},{"cell_type":"code","source":["x = np.linspace(-3, 3, 400)\n","plt.plot(x, x**2, label=\"x²\")\n","plt.plot(x, 2*x, '--', label=\"d/dx x²\")\n","\n","x = np.linspace(0, 3, 400)\n","plt.plot(x, np.exp(x), label=\"exp(x)\")\n","plt.plot(x, np.exp(x), '--', label=\"d/dx exp(x)\")\n","\n","plt.plot(x, np.log(x+0.1), label=\"log(x)\")\n","plt.plot(x, 1/(x+0.1), '--', label=\"d/dx log(x)\")\n","\n","plt.legend()\n","plt.title(\"Functions and Their Derivatives\")\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":452},"id":"vyyGBuHRfZ4n","executionInfo":{"status":"ok","timestamp":1763723860749,"user_tz":-210,"elapsed":353,"user":{"displayName":"Danial Kamali","userId":"04423418101469736667"}},"outputId":"60263d63-3dae-4c17-a0fa-9fb53984af92"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["
    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\n"},"metadata":{}}]},{"cell_type":"markdown","source":["### 👀🔎 What do you see?\n","\n","#### **your answer:** تابع نمایی و مشتق ان دقیقا برابرند و به صورت نمایی رشد میکنند مشتق ایکس به توان 2 خطی است تابع لگاریتم ایکس رشد خیلی کمی داردو مشتق ان با افزایش ایکس کاهش میابد"],"metadata":{"id":"DURup9u5il4-"}},{"cell_type":"markdown","source":["## 6. Gradient of Selected Functions"],"metadata":{"id":"w3QIKTZQf1ZK"}},{"cell_type":"code","source":["# search and learn more about sumpy\n","import sympy as sp\n","\n","# Define symbolic variables\n","x, y = sp.symbols('x y')\n","\n","# Define the function\n","f = x**2 * y + sp.sin(y)\n","\n","# Compute partial derivatives\n","df_dx = sp.diff(f, x)\n","df_dy = sp.diff(f, y)\n","\n","print(\"Function: f(x, y) =\", f)\n","print(\"Partial derivative w.r.t x (∂f/∂x):\", df_dx)\n","print(\"Partial derivative w.r.t y (∂f/∂y):\", df_dy)\n"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"Eeudgf3-f0Ie","executionInfo":{"status":"ok","timestamp":1763724179268,"user_tz":-210,"elapsed":2947,"user":{"displayName":"Danial Kamali","userId":"04423418101469736667"}},"outputId":"59348f88-dddd-445f-fb52-cdd5b83edda5"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Function: f(x, y) = x**2*y + sin(y)\n","Partial derivative w.r.t x (∂f/∂x): 2*x*y\n","Partial derivative w.r.t y (∂f/∂y): x**2 + cos(y)\n"]}]},{"cell_type":"markdown","source":["### 👀🔎 What do you see?\n","\n","#### **your answer:** 2xy xمشتق نسبت به\n","x**2 yمشتق نسبت به"],"metadata":{"id":"wDlIJkmYimg9"}},{"cell_type":"code","source":[],"metadata":{"id":"cLxcN6Q8Kai-"},"execution_count":null,"outputs":[]}]} \ No newline at end of file diff --git a/a0.1/assignments_danial022/Assignment 5_07_danial022.ipynb b/a0.1/assignments_danial022/Assignment 5_07_danial022.ipynb new file mode 100644 index 0000000..515948c --- /dev/null +++ b/a0.1/assignments_danial022/Assignment 5_07_danial022.ipynb @@ -0,0 +1,218 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "_cA_dWDJ2vfr" + }, + "source": [ + "## 🧮 PART 1: Factorial & Combinations\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "executionInfo": { + "elapsed": 33, + "status": "ok", + "timestamp": 1764657930115, + "user": { + "displayName": "Danial Kamali", + "userId": "04423418101469736667" + }, + "user_tz": -210 + }, + "id": "aIxoWeNt2ao0", + "outputId": "db5a242b-dfd7-4b06-a5af-020bc1347686" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "6! = 720\n", + "Combinations (6 choose 3): 20\n" + ] + } + ], + "source": [ + "# ---- FACTORIAL & COMBINATIONS ----\n", + "\n", + "import math\n", + "print(\"6! =\", math.factorial(6))\n", + "print(\"Combinations (6 choose 3):\", math.comb(6, 3))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "pzy2xD3H3D3o" + }, + "source": [ + "## 🃏 PART 2: Simulating a Deck of Cards\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "executionInfo": { + "elapsed": 7, + "status": "ok", + "timestamp": 1764657932073, + "user": { + "displayName": "Danial Kamali", + "userId": "04423418101469736667" + }, + "user_tz": -210 + }, + "id": "eUvZhzYB2x4L", + "outputId": "db7cf3e8-7356-4cef-bb4a-99a978b37fa2" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Drawn cards: ['1 of Hearts', '3 of Clubs']\n" + ] + } + ], + "source": [ + "# ---- PROBABILITY IN A DECK ----\n", + "\n", + "import random\n", + "\n", + "deck = [f\"{rank} of {suit}\" for suit in ['Hearts', 'Spades', 'Diamonds', 'Clubs']\n", + " for rank in range(1, 14)]\n", + "\n", + "# Draw 2 random cards\n", + "\n", + "draws = random.sample(deck, 2)\n", + "print(\"\\nDrawn cards:\", draws)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "OidRYf9q3Mwj" + }, + "source": [ + "## 📊 PART 3: Basic Probability" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "executionInfo": { + "elapsed": 19, + "status": "ok", + "timestamp": 1764657933001, + "user": { + "displayName": "Danial Kamali", + "userId": "04423418101469736667" + }, + "user_tz": -210 + }, + "id": "Ok5d99Ns3Oa7", + "outputId": "085f5b82-e8ec-49ca-d347-8bda7210acac" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Probability both cards are Hearts: 0.0588\n" + ] + } + ], + "source": [ + "hearts = [card for card in deck if \"Hearts\" in card]\n", + "prob_both_hearts = math.comb(len(hearts), 2) / math.comb(len(deck), 2)\n", + "print(f\"Probability both cards are Hearts: {prob_both_hearts:.4f}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NMIA7c313Yum" + }, + "source": [ + "## 🔁 PART 4: Conditional Probability" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "executionInfo": { + "elapsed": 6, + "status": "ok", + "timestamp": 1764657934296, + "user": { + "displayName": "Danial Kamali", + "userId": "04423418101469736667" + }, + "user_tz": -210 + }, + "id": "IZeCH8pw3aZX", + "outputId": "07648ef3-bf26-43e8-89cd-12262ebd7a16" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Conditional probability 2nd card is Heart given 1st is Heart: 0.9412\n" + ] + } + ], + "source": [ + "# ---- CONDITIONAL PROBABILITY ----\n", + "# P(A and B) / P(B): Probability second card is Heart given first was Heart\n", + "# A = both are hearts, B = first is heart\n", + "\n", + "p_a_and_b = math.comb(12, 1) / math.comb(51, 1) # after one heart is drawn\n", + "p_b = 13 / 52\n", + "p_a_given_b = p_a_and_b / p_b\n", + "print(f\"Conditional probability 2nd card is Heart given 1st is Heart: {p_a_given_b:.4f}\")\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [ + { + "file_id": "1FfQjMLnIDIgPxnsf6fhmvcaRgl4M0u3F", + "timestamp": 1764657895719 + } + ] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/assignments_danial022/Assignment_05_06_danial022.ipynb b/a0.1/assignments_danial022/Assignment_05_06_danial022.ipynb new file mode 100644 index 0000000..850ad48 --- /dev/null +++ b/a0.1/assignments_danial022/Assignment_05_06_danial022.ipynb @@ -0,0 +1 @@ +{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[],"authorship_tag":"ABX9TyPp/MjIIDHBAsnf29ciKcwD"},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"markdown","source":["## vectors 101"],"metadata":{"id":"RHJHulr7yHJ3"}},{"cell_type":"code","source":["import numpy as np\n","\n","v = np.array([2, -1, 5])\n","\n","v_len = np.linalg.norm(v)\n","\n","w = np.array([10, 4, -2])\n","vw = np.dot(v, w)\n","\n","print(\"Vector v =\", v)\n","print(\"Length of v =\", v_len)\n","print(\"Vector w =\", w)\n","print(\"Dot product v.m =\", vw)\n"],"metadata":{"id":"NzzIKrwEyMVf","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1764518039103,"user_tz":-210,"elapsed":8,"user":{"displayName":"Danial Kamali","userId":"04423418101469736667"}},"outputId":"0d141dc0-5ae5-456f-c765-02892a648e86"},"execution_count":4,"outputs":[{"output_type":"stream","name":"stdout","text":["Vector v = [ 2 -1 5]\n","Length of v = 5.477225575051661\n","Vector w = [10 4 -2]\n","Dot product v.m = 6\n"]}]},{"cell_type":"markdown","source":["##Practical Scenario — “Drone hop”"],"metadata":{"id":"EzCX7zwz0cqJ"}},{"cell_type":"code","source":["p_start = np.array([2,1])\n","p_end = np.array([7,4])\n","\n","d = p_start - p_end\n","dist = np.linalg.norm(d)\n","unit = d / dist\n","x_axis = np.dot(unit, np.array([1, 0]))\n","\n","print(f\"displacement: {d}\")\n","print(f\"distence: {dist}\")\n","print(f\"unit direction: {unit}\")\n","print(f\"x_axis: {x_axis}\")\n"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"X8utm67X0KCY","executionInfo":{"status":"ok","timestamp":1764518040499,"user_tz":-210,"elapsed":21,"user":{"displayName":"Danial Kamali","userId":"04423418101469736667"}},"outputId":"f01f4f89-389e-4306-c5fc-04e9f4cfe12e"},"execution_count":5,"outputs":[{"output_type":"stream","name":"stdout","text":["displacement: [-5 -3]\n","distence: 5.830951894845301\n","unit direction: [-0.85749293 -0.51449576]\n","x_axis: -0.8574929257125441\n"]}]},{"cell_type":"markdown","source":["## Matrices 101"],"metadata":{"id":"QtVA22Jv7hTB"}},{"cell_type":"code","source":["A = np.array([[3, 1],[2, 5]])\n","tra = A.T\n","det_A = np.linalg.det(A)\n","\n","if det_A != 0:\n"," inv_A = np.linalg.inv(A)\n","else:\n"," print(\"is not invertible\")\n","\n","print(A)\n","print(\"------------------\")\n","print(tra)\n","print(\"------------------\")\n","print(det_A)\n","print(\"------------------\")\n","print(inv_A)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"fC2wCNEcds56","executionInfo":{"status":"ok","timestamp":1764519227841,"user_tz":-210,"elapsed":21,"user":{"displayName":"Danial Kamali","userId":"04423418101469736667"}},"outputId":"23f7e0be-7bf7-434a-fbfa-2d981f0901ca"},"execution_count":22,"outputs":[{"output_type":"stream","name":"stdout","text":["[[3 1]\n"," [2 5]]\n","------------------\n","[[3 2]\n"," [1 5]]\n","------------------\n","13.0\n","------------------\n","[[ 0.38461538 -0.07692308]\n"," [-0.15384615 0.23076923]]\n"]}]},{"cell_type":"markdown","source":["## Practical Scenario — “Rotate that hop”"],"metadata":{"id":"49PhLaFpiuf_"}},{"cell_type":"code","source":["import numpy as np\n","\n","theta = np.deg2rad(30)\n","\n","R = np.array([\n"," [np.cos(theta), -np.sin(theta)],\n"," [np.sin(theta), np.cos(theta)]])\n","\n","d = np.array([5, 3])\n","\n","d_rot = R @ d\n","\n","d_back = np.linalg.inv(R) @ d_rot\n","\n","print(\"Rotation matrix determinant:\", np.linalg.det(R))\n","print(\"Rotated vector:\", d_rot)\n","print(\"Back-rotated equals original?\", np.allclose(d_back, d))\n"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"lzSSDHTS1dGY","executionInfo":{"status":"ok","timestamp":1764520019604,"user_tz":-210,"elapsed":25,"user":{"displayName":"Danial Kamali","userId":"04423418101469736667"}},"outputId":"7abce236-e323-43e8-d403-411bb0a628b4"},"execution_count":24,"outputs":[{"output_type":"stream","name":"stdout","text":["Rotation matrix determinant: 1.0\n","Rotated vector: [2.83012702 5.09807621]\n","Back-rotated equals original? True\n"]}]},{"cell_type":"code","source":[],"metadata":{"id":"3IhHJdotlsQR"},"execution_count":null,"outputs":[]}]} \ No newline at end of file diff --git a/a0.1/assignments_danial022/Assignment_6_010_danial022.ipynb b/a0.1/assignments_danial022/Assignment_6_010_danial022.ipynb new file mode 100644 index 0000000..8ff4477 --- /dev/null +++ b/a0.1/assignments_danial022/Assignment_6_010_danial022.ipynb @@ -0,0 +1,193 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "id": "x1gatSKSHYTm", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "8520c3dd-0cd5-4eeb-ef6e-d73d005afbaa" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Generated Data: [26 39 34 30 27 26 38 30 30 23 27 22 21 31 25 21 20 31 31 36 29 35 34 34\n", + " 38 31 39 22 24 38]\n" + ] + } + ], + "source": [ + "# 📦 Import Required Libraries\n", + "import numpy as np\n", + "from scipy import stats\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# 🎲 Step 1: Generate Random Integer List\n", + "np.random.seed(42) # For reproducibility\n", + "data = np.random.randint(20, 40, size=30)\n", + "print(\"Generated Data:\", data)\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 📊 Step 2: Central Tendency and Quantiles\n", + "Let's compute basic statistics — mean, median, mode, and quantiles." + ], + "metadata": { + "id": "cUfGpmVCHvR5" + } + }, + { + "cell_type": "code", + "source": [ + "# 📐 Central Tendency\n", + "# mean\n", + "mean_val = np.mean(data)\n", + "# median\n", + "median_val = np.median(data)\n", + "# mode\n", + "mode_val =stats.mode(data, keepdims=True).mode[0]\n", + "\n", + "# 📏 Quantiles\n", + "q1 = np.quantile(data, 0.25)\n", + "q3 = np.quantile(data, 0.75)\n", + "\n", + "print(f\"Mean: {mean_val}\")\n", + "print(f\"Median: {median_val}\")\n", + "print(f\"Mode: {mode_val}\")\n", + "print(f\"Q1 (25%): {q1}\")\n", + "print(f\"Q3 (75%): {q3}\")\n" + ], + "metadata": { + "id": "FkmPc2r7Htaz", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "52342845-8012-4515-c7b1-5626a57e9a6c" + }, + "execution_count": 3, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Mean: 29.733333333333334\n", + "Median: 30.0\n", + "Mode: 31\n", + "Q1 (25%): 25.25\n", + "Q3 (75%): 34.0\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### 🧪 Step 3: Skewness and Kurtosis\n", + "Skewness shows asymmetry, and kurtosis indicates the \"tailedness\" of the distribution." + ], + "metadata": { + "id": "EBZ2KixtHztl" + } + }, + { + "cell_type": "code", + "source": [ + "# 📉 Skewness and Kurtosis\n", + "skew_val = stats.skew(data)\n", + "kurtosis_val = stats.kurtosis(data)\n", + "\n", + "print(f\"Skewness: {skew_val:.2f}\")\n", + "print(f\"Kurtosis: {kurtosis_val:.2f}\")\n" + ], + "metadata": { + "id": "XDwmqc3-H05I" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### 📈 Step 4: Visualization - Bar Chart and Boxplot\n", + "Visualize the data to better understand its distribution and spread." + ], + "metadata": { + "id": "FOPw0-dSH250" + } + }, + { + "cell_type": "code", + "source": [ + "# 📊 Bar Plot\n", + "plt.figure(figsize=(12, 4))\n", + "\n", + "plt.subplot(1, 2, 1)\n", + "# make a bar chart\n", + "plt.bar(range(len(data)), data)\n", + "plt.title(\"Bar Plot of Random Data\")\n", + "plt.xlabel(\"Index\")\n", + "plt.ylabel(\"Value\")\n", + "\n", + "# 📦 Boxplot\n", + "plt.subplot(1, 2, 2)\n", + "# make a box plot\n", + "plt.boxplot(data, vert=False)\n", + "plt.title(\"Boxplot of Random Data\")\n", + "plt.xlabel(\"Value\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ], + "metadata": { + "id": "Zfx5s6xLH1y8", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 407 + }, + "outputId": "1257916d-8676-4b1e-9936-3c418be5ec01" + }, + "execution_count": 4, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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+ }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "WSKKIKJzsMiM" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file diff --git a/a0.1/assignments_danial022/assignment_7_pytorch___nexus___danial022.py b/a0.1/assignments_danial022/assignment_7_pytorch___nexus___danial022.py new file mode 100644 index 0000000..6f52d60 --- /dev/null +++ b/a0.1/assignments_danial022/assignment_7_pytorch___nexus___danial022.py @@ -0,0 +1,125 @@ +# -*- coding: utf-8 -*- +"""Assignment 7. PyTorch | Nexus | danial022.ipynb + +Automatically generated by Colab. + +Original file is located at + https://colab.research.google.com/drive/1Cx_dPtidzC4hsLNR-HzWDZsJnf1URCcM + +# 🔥 Assignment: Exploring PyTorch + +

    📢⚠️📂

    + +

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    + +

    🚨📝🧠

    + +------------------------------------------------ + +## 🎯 Goal +This assignment evaluates your basic skills in using PyTorch, focusing on tensors, autograd, and a small training loop. + +### 1️⃣ Setup and Basics +**Task:** + +* Install PyTorch and check its version. + +* Create a 2D tensor and print it. +""" + +import torch + +print("PyTorch version:", torch.__version__) +x = torch.tensor([[1., 2.], [3., 4.]]) +print("Tensor x:\n", x) + +y = torch.Tensor([[5., 6.], + [7., 8.]]) +print("Tensor y:\n", y) + +"""### 2️⃣ Tensor Operations 🧮 +**Task:** Perform addition and matrix multiplication. +""" + +z = x + y +print("Addition:\n", z) + +mat_mul = x @ y +print("Matrix Multiplication:\n", mat_mul) + +elem_mul = x * y +print("Element-wise multiplication:\n", elem_mul) + +# Your turn: +# Perform element-wise multiplication (x * y) and print the result. + +"""### 3️⃣ Autograd and Gradients ⚙️ +**Task:** Enable gradient tracking and compute derivatives. +""" + +a = torch.tensor(3.0, requires_grad=True) +b = (a ** 2) + 2 * a + 1 +b.backward() +print("Gradient of b wrt a:", a.grad) + +p = torch.tensor(2.0, requires_grad=True) +q = p ** 3 + 4 * p +q.backward() +print("Gradient of q wrt p:", p.grad) + +# Your turn: +# Create a tensor p with value 2.0 (requires_grad=True) and compute the gradient of q = p^3 + 4p. + +"""### 4️⃣ Random Tensors 🎲 +**Task:** Generate a random tensor of shape (2, 3) and find its max and min. +""" + +rand_tensor = torch.rand((2, 3)) +print("Random Tensor:\n", rand_tensor) +print("Max:", torch.max(rand_tensor)) +print("Min:", torch.min(rand_tensor)) + +"""### 5️⃣ Mini Training Loop 🤖 +**Task:** Train a simple linear model y = wx + b using gradient descent. +""" + +# Data +x_train = torch.tensor([[1.0], [2.0], [3.0]]) +y_train = torch.tensor([[2.0], [4.0], [6.0]]) + +# Model +w = torch.randn(1, requires_grad=True) +b = torch.zeros(1, requires_grad=True) + +# Training +learning_rate = 0.01 +for epoch in range(100): + y_pred = w * x_train + b + loss = torch.mean((y_pred - y_train) ** 2) + loss.backward() + + # Update + with torch.no_grad(): + w -= learning_rate * w.grad + b -= learning_rate * b.grad + w.grad.zero_() + b.grad.zero_() + +print("Trained weight:", w.item()) +print("Trained bias:", b.item()) + +"""### 6️⃣ Bonus ⚡ +* Convert a PyTorch tensor to a NumPy array. + +* Convert it back to a PyTorch tensor. +""" + +import numpy as np + +t = torch.tensor([1., 2., 3.]) + +np_arr = t.numpy() +print("NumPy array:", np_arr) + +t_back = torch.from_numpy(np_arr) +print("Back to tensor:", t_back) \ No newline at end of file diff --git a/a0.1/assignments_danial022/assignment_8_tensorflow___nexus___danial022.py b/a0.1/assignments_danial022/assignment_8_tensorflow___nexus___danial022.py new file mode 100644 index 0000000..6a8656c --- /dev/null +++ b/a0.1/assignments_danial022/assignment_8_tensorflow___nexus___danial022.py @@ -0,0 +1,98 @@ +# -*- coding: utf-8 -*- +"""Assignment 8. Tensorflow | Nexus | danial022.ipynb + +Automatically generated by Colab. + +Original file is located at + https://colab.research.google.com/drive/1Ish6R3trjHRWll4tHOhQuHrV2BaJ209B + +# 🧠 Assignment: Getting Started with TensorFlow + + +

    📢⚠️📂

    + +

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    + +

    🚨📝🧠

    + +------------------------------------------------ + +## 🎯 Goal +This assignment evaluates your basic skills in using TensorFlow, including creating tensors, performing operations, and building a simple model. + +### 1️⃣ Setup and Basics +**Task:** + +* Install TensorFlow and verify the version. +* Create a simple tensor and print it. +""" + +# Example snippet +import tensorflow as tf + +print("TensorFlow version:", tf.__version__) +a = tf.constant([[1, 2], [3, 4]]) +print("Tensor a:\n", a) + +# Your turn: +# Create a tensor b with values [[5, 6], [7, 8]] and print its shape. + +b = tf.constant([[5, 6], + [7, 8]]) +print("Tensor b:\n", b) + +"""### 2️⃣ Tensor Operations +**Task:** Perform element-wise addition and multiplication. +""" + +# Example snippet +c = a + b +print("Addition:\n", c) + +d = a * b +print("Multiplication:\n", d) + +# Your turn: +# Compute a @ b (matrix multiplication) and print the result. + +mat_mul = a @ b +print("Matrix Multiplication:\n", mat_mul) + +"""### 3️⃣ Random Tensors 🎲 +**Task:** Generate a random tensor of shape (3, 3) from a normal distribution and print its mean and standard deviation. +""" + +# Example snippet +random_tensor = tf.random.normal([3, 3]) +print("Random Tensor:\n", random_tensor) +print("Mean:", tf.reduce_mean(random_tensor)) +print("Std Dev:", tf.math.reduce_std(random_tensor)) + +"""### 4️⃣ Building a Simple Model 🤖 +**Task:** Build a single-layer neural network using tf.keras.Sequential. +""" + +import tensorflow as tf + +model = tf.keras.Sequential([ + tf.keras.layers.Dense(1, input_shape=(1,)), + tf.keras.layers.Dense(5, activation='relu') +]) +model.summary() + +# Your turn: +# Add another dense layer with 5 neurons and relu activation. + +"""### 5️⃣ Bonus ⚡ +* Create a tensor with values from 0 to 9 (inclusive). + +* Reshape it to shape (2, 5). + +* Pint the reshaped tensor. +""" + +# To do +tens = tf.range(10) +reshaped_tens = tf.reshape(tens, (2, 5)) +print("Reshaped Tensor:\n", reshaped_tens) + diff --git a/a0.1/assignments_danial022/assignment_a0_1_danial022.ipynb b/a0.1/assignments_danial022/assignment_a0_1_danial022.ipynb new file mode 100644 index 0000000..73aa5d4 --- /dev/null +++ b/a0.1/assignments_danial022/assignment_a0_1_danial022.ipynb @@ -0,0 +1,395 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "BmoS7frgMRWO" + }, + "source": [ + "# 1.variable types\n", + "## Task1" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "bdvX4HfeNEMz", + "outputId": "db3b3dd3-7347-4c6f-d546-8e511c559abe" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "27.54C = 81.5720F\n" + ] + } + ], + "source": [ + "# convert celsius to farenheit\n", + "\n", + "c = float(27.54)\n", + "f = c * 9/5 + 32\n", + "print(f\"{c}C = {f:.4f}F\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "pz-fv4iTP_j7" + }, + "source": [ + "## Task2" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "wyypvQimQC9h", + "outputId": "37b322ed-f5ef-4ba8-8c22-05fca55e7b63" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sum: 18.5\n", + "Difference: 9.5\n", + "Product: 63.0\n", + "True Division: 3.11\n", + "Floor Division: 3.0\n" + ] + } + ], + "source": [ + "# Tiny Calculator: operations on int & float\n", + "x = 14\n", + "y = 4.5\n", + "\n", + "print(f\"Sum: {x + y}\")\n", + "print(f\"Difference: {x - y}\")\n", + "print(f\"Product: {x * y}\")\n", + "print(f\"True Division: {x / y:.2f}\")\n", + "print(f\"Floor Division: {x // y}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Nge2oRQOfkJX" + }, + "source": [ + "# 2.containers\n", + "##Task1" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QfnTwuxLh4ym" + }, + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "YKdwMY71hpfC", + "outputId": "bf5ce08e-b31e-4b88-f146-079238538a4a" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Enter 4 grocery item(separate each with a comma: )milk , bread , rice , chicken\n", + "your immutable basket: ('milk ', ' bread ', ' rice ', ' chicken')\n", + "third item: rice \n" + ] + } + ], + "source": [ + "# crocery basket\n", + "shoping_list = []\n", + "\n", + "item = input(\"Enter 4 grocery item(separate each with a comma: )\").split(\",\")\n", + "shoping_list = item\n", + "\n", + "immutable_basket = tuple(shoping_list)\n", + "\n", + "\n", + "print(f\"your immutable basket: {immutable_basket}\")\n", + "print(f\"third item: {immutable_basket[2]}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "4YIP9qQNnbaf" + }, + "source": [ + "## Task2" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "EmYV6WD3nejD", + "outputId": "0931fa77-7852-41c0-bc26-82420bd74b27" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "unique word: {'be', 'to', 'me', 'you'}\n", + "word count: {'to': 3, 'be': 2, 'you': 1, 'me': 1}\n" + ] + } + ], + "source": [ + "# word state\n", + "\n", + "sample = \"to be you me to be to\"\n", + "word = sample.split()\n", + "\n", + "unique_word = set(word)\n", + "\n", + "word_count = {}\n", + "for w in word:\n", + " if w in word_count:\n", + " word_count[w] += 1\n", + " else:\n", + " word_count[w] = 1\n", + "\n", + "print(f\"unique word: {unique_word}\")\n", + "print(f\"word count: {word_count}\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "z_5GdFxmThIY" + }, + "source": [ + "# 3.Functions" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "PpBDLilvTqnp" + }, + "source": [ + "##Task1" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "ftls9sqpTw79", + "outputId": "7fae10b0-14a3-4760-efc9-a728ce2dd05a" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Enter a Number: 10\n", + "10 it is not prime number\n" + ] + } + ], + "source": [ + "def is_prime(n: int):\n", + " if n < 2:\n", + " return False\n", + " for i in range(2, n):\n", + " if n % i == 0:\n", + " return False\n", + " return True\n", + "\n", + "num = int(input(\"Enter a Number: \"))\n", + "if is_prime(num):\n", + " print(f\"{num} is a prime number\")\n", + "else:\n", + " print(f\"{num} it is not prime number\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "n1ChopMZvdrp" + }, + "source": [ + "##Task2" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "VkBKZWQ6vhVp", + "outputId": "25063087-1398-4ce1-809e-08dd9c314576" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "whats your name: danial\n", + "how many time do you want to greet: 4\n", + "Danial Danial Danial Danial\n" + ] + } + ], + "source": [ + "def greet(name: str, time: int = 1) -> None:\n", + " word = name.capitalize()\n", + " print(' '.join([word] * time))\n", + "\n", + "name_input = input(\"whats your name: \")\n", + "time_input = int(input(\"how many time do you want to greet: \"))\n", + "\n", + "greet(name_input, time_input)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "No0e1fCf4g9S" + }, + "source": [ + "# 4.classes" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "LtTEBY4C4bxT" + }, + "source": [ + "## Task1" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "sXZRgeWviBFd", + "outputId": "7a6dc893-b359-460a-e382-f51bf9211c5e" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "5\n" + ] + } + ], + "source": [ + "class counter:\n", + " def __init__(self):\n", + " self.count = 0\n", + "\n", + " def increment(self, step = 1):\n", + " self.count += step\n", + "\n", + " def value(self):\n", + " return self.count\n", + "\n", + "c = counter()\n", + "for _ in range(5):\n", + " c.increment()\n", + "print(c.value())" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "iwuhjsCs8tkl" + }, + "source": [ + "##Task2" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "EGy4QuB_5udc", + "outputId": "dc8c2890-bcb0-4c80-b347-9c67a6d81422" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "11.7\n" + ] + } + ], + "source": [ + "import math\n", + "\n", + "class Point:\n", + " def __init__(self, x, y):\n", + " self.x = x\n", + " self.y = y\n", + "\n", + " def distance_to(self, other):\n", + " dx = self.x - other.x\n", + " dy = self.y - other.y\n", + " return math.sqrt(dx**2 + dy**2)\n", + "\n", + "p = Point(6, 10)\n", + "q = Point(0, 0)\n", + "assert round(p.distance_to(q), 1)\n", + "print(round(p.distance_to(q), 1))\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/assignments_danial022/assignment_a0_2_danial022 (1).ipynb b/a0.1/assignments_danial022/assignment_a0_2_danial022 (1).ipynb new file mode 100644 index 0000000..95ee8ff --- /dev/null +++ b/a0.1/assignments_danial022/assignment_a0_2_danial022 (1).ipynb @@ -0,0 +1,639 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 1.numpy" + ], + "metadata": { + "id": "IJSAK1MsSlQ9" + } + }, + { + "cell_type": "markdown", + "source": [ + "## Task1" + ], + "metadata": { + "id": "ThMEROZKSree" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "\n", + "temps = np.random.normal(20, 5, 365)\n", + "print(temps[20:50])" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "kIV8x1RtSu58", + "outputId": "26ad81a3-071d-4ad0-f9f1-1c1a4a4f963c" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[22.99013803 19.59832513 25.59617439 16.15186128 22.22992515 18.94076556\n", + " 15.62401704 20.76356638 18.1104775 22.4225275 30.54315121 18.18928687\n", + " 23.45052097 21.30273447 27.71375025 12.63835426 21.02709861 23.02655513\n", + " 21.66281116 13.65566054 13.98589699 17.37305515 10.05281015 30.967089\n", + " 14.02190697 15.06952967 15.20759405 18.08587558 28.67679533 20.67098992]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## Task2" + ], + "metadata": { + "id": "7bK8dnN-TttC" + } + }, + { + "cell_type": "code", + "source": [ + "av_temps = np.mean(temps)\n", + "av_temps" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "S4W1VtXrTv0H", + "outputId": "e85a6cea-9198-471e-eb26-98f9db4a3237" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "np.float64(20.088846828439575)" + ] + }, + "metadata": {}, + "execution_count": 34 + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "# 2.pandas" + ], + "metadata": { + "id": "N9_pzeSeURj2" + } + }, + { + "cell_type": "code", + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "\n", + "# ساخت داده‌ تصادفی برای 30 روز\n", + "dates = pd.date_range(start=\"2025-01-01\", periods=30)\n", + "temps = np.random.normal(20, 5, 30) # دمای روزانه\n", + "rides = np.random.randint(50, 200, 30) # تعداد رکاب‌ها\n", + "weekday = dates.day_name() # استخراج نام روز هفته\n", + "\n", + "# ساخت DataFrame\n", + "df = pd.DataFrame({\n", + " \"date\": dates,\n", + " \"temp\": temps,\n", + " \"rides\": rides,\n", + " \"weekday\": weekday\n", + "})\n", + "# ذخیره به فایل CSV\n", + "df.to_csv(\"rides.csv\", index=False)\n", + "print(\"فایل rides.csv ساخته شد ✅\")\n", + "\n", + "df.head()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 223 + }, + "collapsed": true, + "id": "8y5EAVm3tyTC", + "outputId": "0617a7a4-8f80-4d5c-af64-5e1f7b17bb66" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "فایل rides.csv ساخته شد ✅\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " date temp rides weekday\n", + "0 2025-01-01 20.035349 195 Wednesday\n", + "1 2025-01-02 25.433768 161 Thursday\n", + "2 2025-01-03 21.895513 87 Friday\n", + "3 2025-01-04 29.543271 144 Saturday\n", + "4 2025-01-05 22.402434 184 Sunday" + ], + "text/html": [ + "\n", + "
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    " + ] + }, + "metadata": {}, + "execution_count": 37 + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "#3.matplotlib" + ], + "metadata": { + "id": "4tkjKrZLxakX" + } + }, + { + "cell_type": "markdown", + "source": [ + "##Task1" + ], + "metadata": { + "id": "eYubJfuTzd-6" + } + }, + { + "cell_type": "code", + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "plt.scatter(df['temp'], df['rides'])\n", + "plt.xlabel('temps')\n", + "plt.ylabel('rides')\n", + "\n", + "# Task2\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 450 + }, + "id": "S-v6LpPVzfyJ", + "outputId": "9b3d6df8-9e90-44b9-97c8-606b2b56a697" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "iV-UZ4NV1LAo" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file diff --git a/a0.1/datasets/rides.csv b/a0.1/datasets/rides.csv new file mode 100644 index 0000000..8608570 --- /dev/null +++ b/a0.1/datasets/rides.csv @@ -0,0 +1,366 @@ +date,temp,rides,weekday +2024-01-01,13.3,141,Monday +2024-01-02,18.4,174,Tuesday +2024-01-03,25.3,256,Wednesday +2024-01-04,19.5,188,Thursday +2024-01-05,25.6,234,Friday +2024-01-06,24.4,253,Saturday +2024-01-07,28.6,297,Sunday +2024-01-08,21.8,183,Monday +2024-01-09,21.0,213,Tuesday +2024-01-10,20.0,162,Wednesday +2024-01-11,19.0,221,Thursday +2024-01-12,20.8,188,Friday +2024-01-13,18.6,193,Saturday +2024-01-14,19.5,178,Sunday +2024-01-15,9.4,76,Monday +2024-01-16,27.8,281,Tuesday +2024-01-17,18.6,185,Wednesday +2024-01-18,31.8,299,Thursday +2024-01-19,23.5,211,Friday +2024-01-20,12.1,93,Saturday 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+2024-12-26,20.0,166,Thursday +2024-12-27,24.6,275,Friday +2024-12-28,16.1,171,Saturday +2024-12-29,18.3,216,Sunday +2024-12-30,20.6,213,Monday diff --git a/a0.1/project1_MortezaHosseini1457.ipynb b/a0.1/project1_MortezaHosseini1457.ipynb new file mode 100644 index 0000000..736f181 --- /dev/null +++ b/a0.1/project1_MortezaHosseini1457.ipynb @@ -0,0 +1,476 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 📚 Assignment 1 — Python Fundamentals\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n", + "\n", + "------------------------------------------------\n", + "Welcome to your first hands-on practice! This set of four mini-projects walks you through the basics every Python (and ML) developer leans on daily:\n", + "\n", + "1. Variable types\n", + "\n", + "2. Core containers\n", + "\n", + "3. Functions\n", + "\n", + "4. Classes\n", + "\n", + "Each part begins with quick pointers, then gives you two bite-sized tasks to code. Replace every # TODO with working Python and run your script or notebook to check the result. Happy hacking! 😊" + ], + "metadata": { + "id": "ZS5lje_18xC2" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1. Variable Types 🧮\n", + "**Quick-start notes**\n", + "\n", + "* Primitive types: `int`, `float`, `str`, `bool`\n", + "\n", + "* Use `type(obj)` to inspect an object’s type.\n", + "\n", + "* Casting ↔ converting: `int(\"3\")`, `str(3.14)`, `bool(0)`, etc." + ], + "metadata": { + "id": "u5vvtK-6840I" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Celsius → Fahrenheit\n", + "\n" + ], + "metadata": { + "id": "UyNHtkGm9OgH" + } + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "lmaiboJe8E15", + "outputId": "f39aec46-b793-4a39-82d8-204359833cf8", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "25.0°C is 77.0°F\n" + ] + } + ], + "source": [ + "# 👉 a Celsius temperature (as text), convert it to float,\n", + "# compute Fahrenheit (°F = °C * 9/5 + 32) and print a nicely formatted line.\n", + "celsius_text= \"25\"\n", + "celsius = float(celsius_text)\n", + "fahrenheit = celsius * 9 / 5 + 32\n", + "print(f\"{celsius}°C is {fahrenheit}°F\")" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Tiny Calculator\n" + ], + "metadata": { + "id": "BtsB8QKM9Xs_" + } + }, + { + "cell_type": "code", + "source": [ + "# 👉 Store two numbers of **different types** (one int, one float),\n", + "# then print their sum, difference, product, true division, and floor division.\n", + "a=7\n", + "b=2.5\n", + "print(f\"Sum: {a+b}\")\n", + "print(f\"Difference: {a-b}\")\n", + "print(f\"Product: {a*b}\")\n", + "print(f\"True division: {a/b}\")\n", + "print(f\"floor division: {a//b}\")" + ], + "metadata": { + "id": "DSR8aS-F9Z10", + "outputId": "31bd6cec-b77c-43c1-f5cb-6f60ec887385", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 3, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Sum: 9.5\n", + "Difference: 4.5\n", + "Product: 17.5\n", + "True division: 2.8\n", + "floor division: 2.0\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2. Containers 📦 (list, tuple, set, dict)\n", + "**Quick-start notes**\n", + "\n", + "| Container | Mutable? | Ordered? | Typical use |\n", + "| --------- | -------- | ----------------------------- | --------------------------------- |\n", + "| `list` | ✔ | ✔ | Growth, indexing, slicing |\n", + "| `tuple` | ✖ | ✔ | Fixed-size records, hashable keys |\n", + "| `set` | ✔ | ✖ | Deduplication, membership tests |\n", + "| `dict` | ✔ | ✖ (3.7 + preserves insertion) | Key → value look-ups |\n" + ], + "metadata": { + "id": "8JjHX4wy9dPz" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Grocery Basket\n", + "\n" + ], + "metadata": { + "id": "wRyJyhbt9uUr" + } + }, + { + "cell_type": "code", + "source": [ + "# Start with an empty shopping list (list).\n", + "# 1. Append at least 4 items supplied in one line of user input (comma-separated).\n", + "# 2. Convert the list to a *tuple* called immutable_basket.\n", + "# 3. Print the third item using tuple indexing.\n", + "shopping_list = input(\"Enter at least 4 shopping items (separated by commas): \").split(',')\n", + "immutable_basket = tuple(shopping_list)\n", + "print(\"the third item is:\",immutable_basket[2])\n" + ], + "metadata": { + "id": "1J4jcLct9yVO", + "outputId": "4433c911-66f8-4183-8d34-e180e8b748cd", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 7, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Enter at least 4 shopping items (separated by commas): eggs, milk, bread, cheese\n", + "the third item is: bread\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Word Stats" + ], + "metadata": { + "id": "byKd8SFK9w2y" + } + }, + { + "cell_type": "code", + "source": [ + "sample = \"to be or not to be that is the question\"\n", + "\n", + "# 1. Build a set `unique_words` containing every distinct word.\n", + "# 2. Build a dict `word_counts` mapping each word to the number of times it appears.\n", + "# (Hint: .split() + a simple loop)\n", + "# 3. Print the two structures and explain (in a comment) their main difference.\n", + "unique_words = set(sample.split())\n", + "word_counts = {}\n", + "for word in sample.split():\n", + " if word in word_counts:\n", + " word_counts[word] += 1\n", + " else:\n", + " word_counts[word] = 1\n", + "print(\"unique_words:\", unique_words)\n", + "print(\"word_counts:\", word_counts)\n" + ], + "metadata": { + "id": "4rLrxkPj90p3", + "outputId": "29b78378-98d0-43b8-c9d8-fb630554d6f8", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 10, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "unique_words: {'not', 'is', 'that', 'to', 'or', 'the', 'be', 'question'}\n", + "word_counts: {'to': 2, 'be': 2, 'or': 1, 'not': 1, 'that': 1, 'is': 1, 'the': 1, 'question': 1}\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 3. Functions 🔧\n", + "**Quick-start notes**\n", + "\n", + "* Define with `def`, return with `return`.\n", + "\n", + "* Parameters can have default values.\n", + "\n", + "* Docstrings (`\"\"\" … \"\"\"`) document behaviour." + ], + "metadata": { + "id": "gbGMbtLf94M4" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Prime Tester" + ], + "metadata": { + "id": "QOsToPh2-AnZ" + } + }, + { + "cell_type": "code", + "source": [ + "def is_prime(n: int) -> bool:\n", + " \"\"\"\n", + " Return True if n is a prime number, else False.\n", + " 0 and 1 are *not* prime.\n", + " \"\"\"\n", + " if n < 2:\n", + " return False\n", + " for i in range(2, n):\n", + " if n % i == 0:\n", + " return False\n", + " return True\n", + "\n", + "# Quick self-check\n", + "print([x for x in range(10) if is_prime(x)]) # Expected: [2, 3, 5, 7]\n" + ], + "metadata": { + "id": "_pCU2mIH-DAi", + "outputId": "35005aa2-5559-4b1b-d190-73d8e0905880", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 12, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[2, 3, 5, 7]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — Repeater Greeter" + ], + "metadata": { + "id": "TBGXIzVV-E5u" + } + }, + { + "cell_type": "code", + "source": [ + "def greet(name: str, times: int = 1) -> None:\n", + " \"\"\"Print `name`, capitalised, exactly `times` times on one line.\"\"\"\n", + " print((name.capitalize() + \" \") * times)\n", + "\n", + "\n", + "greet(\"alice\") # Alice\n", + "greet(\"bob\", times=3) # Bob Bob Bob\n" + ], + "metadata": { + "id": "ycvsNyqh-GRM", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "e41191aa-80f0-4e5f-f604-7171bb24c78f" + }, + "execution_count": 13, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Alice \n", + "Bob Bob Bob \n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 4. Classes 🏗️\n", + "**Quick-start notes**\n", + "\n", + "* Create with class Name:\n", + "\n", + "* Special method __init__ runs on construction.\n", + "\n", + "* self refers to the instance; attributes live on self." + ], + "metadata": { + "id": "y7K-GaBC-ImE" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Task 1 — Simple Counter" + ], + "metadata": { + "id": "NgKjsy8A-N3l" + } + }, + { + "cell_type": "code", + "source": [ + "class Counter:\n", + " \"\"\"Counts how many times `increment` is called.\"\"\"\n", + " def __init__(self):\n", + " self.count = 0\n", + " def increment(self, step: int = 1):\n", + " self.count += step\n", + " def value(self):\n", + " return self.count\n", + " # 1. In __init__, store an internal count variable starting at 0.\n", + " # 2. Method increment(step: int = 1) adds `step` to the count.\n", + " # 3. Method value() returns the current count.\n", + "\n", + "\n", + "c = Counter()\n", + "for _ in range(5):\n", + " c.increment()\n", + "print(c.value()) # Expected: 5\n" + ], + "metadata": { + "id": "dPFvr_fe-OPR", + "outputId": "02e2178f-7a60-4a83-a33e-c9057bc1f28a", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 14, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "5\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Task 2 — 2-D Point with Distance" + ], + "metadata": { + "id": "U99aupan-Q8u" + } + }, + { + "cell_type": "code", + "source": [ + "import math\n", + "\n", + "class Point:\n", + " \"\"\"\n", + " A 2-D point supporting distance calculation.\n", + " Usage:\n", + " p = Point(3, 4)\n", + " q = Point(0, 0)\n", + " print(p.distance_to(q)) # 5.0\n", + " \"\"\"\n", + " def __init__(self, x: float, y: float):\n", + " self.x = x\n", + " self.y = y\n", + "\n", + " def distance_to(self, other: \"Point\") -> float:\n", + " return math.sqrt((self.x - other.x)**2 + (self.y - other.y)**2)\n", + " # 1. Store x and y as attributes.\n", + " # 2. Implement distance_to(other) using the Euclidean formula.\n", + "\n", + "\n", + "# Smoke test\n", + "p, q = Point(3, 4), Point(0, 0)\n", + "assert round(p.distance_to(q), 1) == 5.0\n", + "print(\"Smoke test passed!\")" + ], + "metadata": { + "id": "OVh3GEzH-T0w", + "outputId": "50523a0e-6916-4398-81bb-525d50a3e0db", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": 18, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Smoke test passed!\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "F--fFmdITYJk" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file diff --git a/a0.1/project1_arianshs.ipynb b/a0.1/project1_arianshs.ipynb new file mode 100644 index 0000000..e47b9ff --- /dev/null +++ b/a0.1/project1_arianshs.ipynb @@ -0,0 +1,960 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# 🍷 Mini-Project: Merge & Explore the Wine Quality Datasets\n", + "\n", + "\n", + "> **Goal: Merge Wine Quality – Red and Wine Quality – White (UCI) into a single dataset, do a careful first-look exploration, and save the merged file to CSV.**\n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project1_ali.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    " + ], + "metadata": { + "id": "5pY7aLZSZQM9" + } + }, + { + "cell_type": "code", + "source": [ + "# === Requirements ===\n", + "# pip install pandas matplotlib\n", + "\n", + "import pandas as pd\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from pathlib import Path" + ], + "metadata": { + "id": "wpNpLMF8aX1s" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# ---------- 1) Load ----------\n", + "URL_RED = \"https://archive.ics.uci.edu/ml/machine-learning-databases/wine-quality/winequality-red.csv\"\n", + "URL_WHITE = \"https://archive.ics.uci.edu/ml/machine-learning-databases/wine-quality/winequality-white.csv\"\n", + "\n", + "red = pd.read_csv(URL_RED, sep=\";\")\n", + "white = pd.read_csv(URL_WHITE, sep=\";\")" + ], + "metadata": { + "id": "ErqnxAGRaY_C" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# ---------- 2) Sanity checks ----------\n", + "print(\"Red shape:\", red.shape, \"White shape:\", white.shape)\n", + "print(\"Columns equal? ->\", list(red.columns) == list(white.columns))\n", + "print(\"Columns:\", list(red.columns))" + ], + "metadata": { + "id": "lVbxevgpabbF", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "7a8048a1-6fb4-42cf-e5f1-dab6101cc776" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Red shape: (1599, 12) White shape: (4898, 12)\n", + "Columns equal? -> True\n", + "Columns: ['fixed acidity', 'volatile acidity', 'citric acid', 'residual sugar', 'chlorides', 'free sulfur dioxide', 'total sulfur dioxide', 'density', 'pH', 'sulphates', 'alcohol', 'quality']\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# (Optional) strict schema assertion (search and read about assert in Python)\n", + "assert list(red.columns) == list(white.columns), \"Column mismatch between red and white datasets.\"\n" + ], + "metadata": { + "id": "5vV73isEadfQ" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# ---------- 3) Tag source & merge ----------\n", + "red[\"type\"] = \"red\"\n", + "white[\"type\"] = \"white\"\n", + "\n", + "df = pd.concat([red, white], ignore_index=True)\n", + "print(\"\\nMerged shape:\", df.shape)\n", + "df" + ], + "metadata": { + "id": "uVTeWORRakKq", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 470 + }, + "outputId": "5e499d4e-88f9-4f8c-e285-48ad87da8d8d" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Merged shape: (6497, 13)\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " fixed acidity volatile acidity citric acid residual sugar chlorides \\\n", + "0 7.4 0.70 0.00 1.9 0.076 \n", + "1 7.8 0.88 0.00 2.6 0.098 \n", + "2 7.8 0.76 0.04 2.3 0.092 \n", + "3 11.2 0.28 0.56 1.9 0.075 \n", + "4 7.4 0.70 0.00 1.9 0.076 \n", + "... ... ... ... ... ... \n", + "6492 6.2 0.21 0.29 1.6 0.039 \n", + "6493 6.6 0.32 0.36 8.0 0.047 \n", + "6494 6.5 0.24 0.19 1.2 0.041 \n", + "6495 5.5 0.29 0.30 1.1 0.022 \n", + "6496 6.0 0.21 0.38 0.8 0.020 \n", + "\n", + " free sulfur dioxide total sulfur dioxide density pH sulphates \\\n", + "0 11.0 34.0 0.99780 3.51 0.56 \n", + "1 25.0 67.0 0.99680 3.20 0.68 \n", + "2 15.0 54.0 0.99700 3.26 0.65 \n", + "3 17.0 60.0 0.99800 3.16 0.58 \n", + "4 11.0 34.0 0.99780 3.51 0.56 \n", + "... ... ... ... ... ... \n", + "6492 24.0 92.0 0.99114 3.27 0.50 \n", + "6493 57.0 168.0 0.99490 3.15 0.46 \n", + "6494 30.0 111.0 0.99254 2.99 0.46 \n", + "6495 20.0 110.0 0.98869 3.34 0.38 \n", + "6496 22.0 98.0 0.98941 3.26 0.32 \n", + "\n", + " alcohol quality type \n", + "0 9.4 5 red \n", + "1 9.8 5 red \n", + "2 9.8 5 red \n", + "3 9.8 6 red \n", + "4 9.4 5 red \n", + "... ... ... ... \n", + "6492 11.2 6 white \n", + "6493 9.6 5 white \n", + "6494 9.4 6 white \n", + "6495 12.8 7 white \n", + "6496 11.8 6 white \n", + "\n", + "[6497 rows x 13 columns]" + ], + "text/html": [ + "\n", + "
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\"description\": \"\"\n }\n },\n {\n \"column\": \"residual sugar\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 4.757803743147445,\n \"min\": 0.6,\n \"max\": 65.8,\n \"num_unique_values\": 316,\n \"samples\": [\n 18.95,\n 3.2,\n 9.3\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"chlorides\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0.03503360137245906,\n \"min\": 0.009,\n \"max\": 0.611,\n \"num_unique_values\": 214,\n \"samples\": [\n 0.089,\n 0.217,\n 0.1\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"free sulfur dioxide\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 17.74939977200255,\n \"min\": 1.0,\n \"max\": 289.0,\n \"num_unique_values\": 135,\n \"samples\": [\n 77.5,\n 65.0,\n 128.0\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"total sulfur dioxide\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 56.521854522630264,\n \"min\": 6.0,\n \"max\": 440.0,\n \"num_unique_values\": 276,\n \"samples\": [\n 14.0,\n 149.0,\n 227.0\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"density\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0.002998673003719041,\n \"min\": 0.98711,\n \"max\": 1.03898,\n \"num_unique_values\": 998,\n \"samples\": [\n 0.9918,\n 0.99412,\n 0.99484\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"pH\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0.1607872021039883,\n \"min\": 2.72,\n \"max\": 4.01,\n \"num_unique_values\": 108,\n \"samples\": [\n 3.74,\n 3.17,\n 3.3\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"sulphates\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0.14880587361448958,\n \"min\": 0.22,\n \"max\": 2.0,\n \"num_unique_values\": 111,\n \"samples\": [\n 1.11,\n 1.56,\n 0.46\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"alcohol\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 1.192711748870997,\n \"min\": 8.0,\n \"max\": 14.9,\n \"num_unique_values\": 111,\n \"samples\": [\n 10.9333333333333,\n 9.7,\n 10.5\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"quality\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0,\n \"min\": 3,\n \"max\": 9,\n \"num_unique_values\": 7,\n \"samples\": [\n 5,\n 6,\n 3\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"type\",\n \"properties\": {\n \"dtype\": \"category\",\n \"num_unique_values\": 2,\n \"samples\": [\n \"white\",\n \"red\"\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n }\n ]\n}" + } + }, + "metadata": {}, + "execution_count": 5 + } + ] + }, + { + "cell_type": "code", + "source": [ + "# ---------- 4) Basic exploration ----------\n", + "print(\"\\nDtypes:\\n\", df.dtypes)\n", + "print(\"\\nMissing values per column:\\n\", df.isnull().sum().sort_values(ascending=False))\n", + "print(\"\\nHead:\\n\", df.head())" + ], + "metadata": { + "id": "OsMo1KOhambz", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "95adc921-9ba9-47cf-ab20-77629d9172b0" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Dtypes:\n", + " fixed acidity float64\n", + "volatile acidity float64\n", + "citric acid float64\n", + "residual sugar float64\n", + "chlorides float64\n", + "free sulfur dioxide float64\n", + "total sulfur dioxide float64\n", + "density float64\n", + "pH float64\n", + "sulphates float64\n", + "alcohol float64\n", + "quality int64\n", + "type object\n", + "dtype: object\n", + "\n", + "Missing values per column:\n", + " fixed acidity 0\n", + "volatile acidity 0\n", + "citric acid 0\n", + "residual sugar 0\n", + "chlorides 0\n", + "free sulfur dioxide 0\n", + "total sulfur dioxide 0\n", + "density 0\n", + "pH 0\n", + "sulphates 0\n", + "alcohol 0\n", + "quality 0\n", + "type 0\n", + "dtype: int64\n", + "\n", + "Head:\n", + " fixed acidity volatile acidity citric acid residual sugar chlorides \\\n", + "0 7.4 0.70 0.00 1.9 0.076 \n", + "1 7.8 0.88 0.00 2.6 0.098 \n", + "2 7.8 0.76 0.04 2.3 0.092 \n", + "3 11.2 0.28 0.56 1.9 0.075 \n", + "4 7.4 0.70 0.00 1.9 0.076 \n", + "\n", + " free sulfur dioxide total sulfur dioxide density pH sulphates \\\n", + "0 11.0 34.0 0.9978 3.51 0.56 \n", + "1 25.0 67.0 0.9968 3.20 0.68 \n", + "2 15.0 54.0 0.9970 3.26 0.65 \n", + "3 17.0 60.0 0.9980 3.16 0.58 \n", + "4 11.0 34.0 0.9978 3.51 0.56 \n", + "\n", + " alcohol quality type \n", + "0 9.4 5 red \n", + "1 9.8 5 red \n", + "2 9.8 5 red \n", + "3 9.8 6 red \n", + "4 9.4 5 red \n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Uniqueness & duplicates\n", + "dup_count = df.duplicated().sum()\n", + "print(\"\\nDuplicate rows:\", dup_count)\n", + "\n", + "# Descriptive statistics (numeric)\n", + "num_cols = df.select_dtypes(include=[np.number]).columns\n", + "print(\"\\nNumeric summary:\\n\", df[num_cols].describe().T)\n", + "# Target distributions\n", + "print(\"\\nQuality distribution (overall):\\n\", df[\"quality\"].value_counts().sort_index()) #uniqe value counting\n", + "print(\"\\nQuality distribution by type:\\n\", df.groupby(\"type\")[\"quality\"].value_counts().sort_index())" + ], + "metadata": { + "id": "ou0kWts-aopS", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "cf20302d-6cce-40ec-ea5e-ec6cbae7b320" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Duplicate rows: 1177\n", + "\n", + "Numeric summary:\n", + " count mean std min 25% \\\n", + "fixed acidity 6497.0 7.215307 1.296434 3.80000 6.40000 \n", + "volatile acidity 6497.0 0.339666 0.164636 0.08000 0.23000 \n", + "citric acid 6497.0 0.318633 0.145318 0.00000 0.25000 \n", + "residual sugar 6497.0 5.443235 4.757804 0.60000 1.80000 \n", + "chlorides 6497.0 0.056034 0.035034 0.00900 0.03800 \n", + "free sulfur dioxide 6497.0 30.525319 17.749400 1.00000 17.00000 \n", + "total sulfur dioxide 6497.0 115.744574 56.521855 6.00000 77.00000 \n", + "density 6497.0 0.994697 0.002999 0.98711 0.99234 \n", + "pH 6497.0 3.218501 0.160787 2.72000 3.11000 \n", + "sulphates 6497.0 0.531268 0.148806 0.22000 0.43000 \n", + "alcohol 6497.0 10.491801 1.192712 8.00000 9.50000 \n", + "quality 6497.0 5.818378 0.873255 3.00000 5.00000 \n", + "\n", + " 50% 75% max \n", + "fixed acidity 7.00000 7.70000 15.90000 \n", + "volatile acidity 0.29000 0.40000 1.58000 \n", + "citric acid 0.31000 0.39000 1.66000 \n", + "residual sugar 3.00000 8.10000 65.80000 \n", + "chlorides 0.04700 0.06500 0.61100 \n", + "free sulfur dioxide 29.00000 41.00000 289.00000 \n", + "total sulfur dioxide 118.00000 156.00000 440.00000 \n", + "density 0.99489 0.99699 1.03898 \n", + "pH 3.21000 3.32000 4.01000 \n", + "sulphates 0.51000 0.60000 2.00000 \n", + "alcohol 10.30000 11.30000 14.90000 \n", + "quality 6.00000 6.00000 9.00000 \n", + "\n", + "Quality distribution (overall):\n", + " quality\n", + "3 30\n", + "4 216\n", + "5 2138\n", + "6 2836\n", + "7 1079\n", + "8 193\n", + "9 5\n", + "Name: count, dtype: int64\n", + "\n", + "Quality distribution by type:\n", + " type quality\n", + "red 3 10\n", + " 4 53\n", + " 5 681\n", + " 6 638\n", + " 7 199\n", + " 8 18\n", + "white 3 20\n", + " 4 163\n", + " 5 1457\n", + " 6 2198\n", + " 7 880\n", + " 8 175\n", + " 9 5\n", + "Name: count, dtype: int64\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# ---------- 5) A few simple visuals (optional for report) ----------\n", + "# Histograms of numeric features (quick feel for ranges & skew)\n", + "top_vars = df.select_dtypes(include=[np.number]).columns\n", + "n = min(4, len(top_vars))\n", + "\n", + "fig, axes = plt.subplots(1, 4, figsize=(16, 3), sharey=True)\n", + "\n", + "for i, ax in enumerate(axes):\n", + " if i < n:\n", + " col = top_vars[i]\n", + " ax.hist(df[col].dropna(), bins=30)\n", + " ax.set_title(f\"Histogram: {col}\")\n", + " ax.set_xlabel(col)\n", + " if i == 0:\n", + " ax.set_ylabel(\"Count\")\n", + " else:\n", + " ax.set_ylabel(\"\")\n", + " else:\n", + " ax.axis(\"off\") # hide unused panels if top_vars has < 4\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ], + "metadata": { + "id": "2Pa_iCVzaqzp", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 257 + }, + "outputId": "05f44662-6377-4169-fbd9-c2f62c2f4468" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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p2LGjMcaYixcvGldXV7Nw4ULL/DNnzhgPDw+r/URp1U9vb28zd+7cdGPP6veIZB06dDB9+vRJc15a26Rdu3YZSSYuLs4YY0zXrl1N+/btrR7Xo0ePNPfz3K5mzZrmvffes9wPDg42nTp1yvAxQEY4UgOwoU8//VR79uzRL7/8osjISDk4OEiSdu/erUuXLqlEiRLy9PS03OLi4nTkyBFJ0sGDB9WoUSOr5YWEhGT6nDNnzlT9+vXl5+cnT09PzZkzx9ItP336tE6cOKFWrVplKf6DBw+qdu3acnd3z1YMaXnmmWf01Vdf6dq1a7px44bmz59vdWoXALCVHj166JtvvtH169clSfPmzVO3bt3k6Pjfx6iDBw/qwQcftHrMgw8+qIMHD6a7zK+//loPPvigAgMD5enpqddffz3VL5eya/fu3dqwYYPVdqNatWqSZNl2pJSYmKjx48erVq1a8vX1laenp1avXm2J5eDBg7p+/Xq2tgs52TalpX///pZD4U+dOqWVK1eyXQCQ72W3bmakfv36Gc6PjY1VvXr1snXtvsy2P7Gxsdmq+WXKlFFQUJBlWk5rPgDYWsqam9ln6zp16qhVq1aqVauWnnzySX300Uc6d+5cmss+cuSIbty4YfU52dfXV1WrVs12nLn9HvHcc89pwYIFqlu3roYPH67Nmzdn6/kPHTqU6gi+lPcvXbqkV155RdWrV5ePj488PT118ODBVHE2aNAgW88N3I4LhQM2tHv3bl2+fFmOjo46efKkSpUqJem/DUCpUqUUHR2d6jG3n6cwuxYsWKBXXnlF77zzjkJCQlSsWDG9/fbblvPu2vLCrR06dJCbm5uWLl0qV1dX3bx5U0888YTN4gGAZB06dJAxRsuXL9f999+vn376KVuHeKe0ZcsW9ejRQ2PHjlVoaKi8vb21YMGCNM+rmx2XLl1Shw4dNGnSpFTzkrcvKb399tuaMWOGpk+frlq1aqlo0aIaOnSobty4Icm224VevXppxIgR2rJlizZv3qzy5curSZMmNosHALIiL+tm0aJF8/S5srL9sWXdBwBbSllzM/ts7eTkpKioKG3evFlr1qzRe++9p9dee03btm1T+fLlcxSDg4NDqtNX3X69jLz4HtGuXTsdO3ZMK1asUFRUlFq1aqXw8HBNmTLF8qOt22PIzvU6kr3yyiuKiorSlClTVKlSJXl4eOiJJ56wfMdIltl2DsgIR2oANnL27Fn17t1br732mnr37q0ePXro6tWrkqT77rtP8fHxcnZ2VqVKlaxuyec6rF69eqqLAG7dujXD59y0aZMaN26s559/XvXq1VOlSpWsfr1brFgxlStXTuvWrctSDtWrV9eePXusLlCeWQyurq5KTExMNd3Z2VlhYWGaO3eu5s6dq27duvGlCkC+4O7urs6dO2vevHn66quvVLVqVd13332W+dWrV9emTZusHrNp0ybLNZJS2rx5s4KDg/Xaa6+pQYMGqly5so4dO2Y1Jr1amZH77rtP+/fvV7ly5VJtO9L7wrBp0yZ17NhRTz/9tOrUqaMKFSrot99+s8yvXLmyPDw8srVduP16HFLOtwslSpRQp06dNHfuXEVGRnKNJQB2Ibt109XVVZKyXfMlqXbt2oqNjbVccy8zWdn+1K5dO1s1/88//7S6/lFmNR8A7EVWPls7ODjowQcf1NixY7Vr1y65urpq6dKlqZZVsWJFubi4WO3DOXfunNXnbkny8/OzqqmHDx/WlStXLPezUsezws/PT2FhYfryyy81ffp0zZkzxzJdklUMsbGxVo+tWrVqqmvHpry/adMm9e7dW48//rhq1aqlwMBAqwuNA3mBpgZgIwMHDlSZMmX0+uuva+rUqUpMTLRcZLt169YKCQlRp06dtGbNGh09elSbN2/Wa6+9pp07d0qShgwZok8//VRz587Vb7/9pjFjxmj//v0ZPmflypW1c+dOrV69Wr/99ptGjRqVauMTERGhd955R++++64OHz6sX375Re+9916ay/vf//4nBwcHPfPMMzpw4IBWrFihKVOmZBhDuXLldOnSJa1bt07//vuv1Qa6f//+Wr9+vVatWsUpRgDkKz169NDy5cv16aefWi4QnmzYsGGKjIzUrFmzdPjwYU2dOlVLliyx1PSUKleurOPHj2vBggU6cuSI3n333VRffsqVK6e4uDjFxsbq33//tZz6KiPh4eE6e/asunfvrh07dujIkSNavXq1+vTpk+7OssqVK1t+YXbw4EE9++yzOnXqlGW+u7u7Xn31VQ0fPlyff/65jhw5oq1bt+qTTz5Jc3kDBw7U4cOHNWzYMB06dEjz589XZGRkhnFnlGv//v312Wef6eDBgwoLC8t0HQCArWW3bgYHB8vBwUHLli3TP//8o0uXLmX5ubp3767AwEB16tRJmzZt0h9//KFvvvlGW7ZsSXN8VrY/Y8aM0VdffaUxY8bo4MGD2rt3b5q/Upb++85SpUoVhYWFaffu3frpp5/02muvZTl+AMjPMvtsvW3bNr311lvauXOnjh8/riVLluiff/5R9erVUy3L09NT/fr107Bhw7R+/Xrt27dPvXv3thwZkaxly5Z6//33tWvXLu3cuVMDBw6Ui4uLZX5W6nhmRo8ere+++06///679u/fr2XLlllirlSpksqUKaOIiAgdPnxYy5cvT3UUyODBg7VixQpNnTpVhw8f1ocffqiVK1daTqeeHOeSJUsUGxur3bt363//+5+SkpKyFSeQKRtf0wMokDK7UPhnn31mihYtan777TfL/G3bthkXFxezYsUKY8x/FxkcPHiwCQoKMi4uLqZMmTKmR48e5vjx45bHvPnmm6ZkyZLG09PThIWFmeHDh2d4Qahr166Z3r17G29vb+Pj42Oee+45M2LEiFSPmT17tqlatapxcXExpUqVMoMHD7bMU4oLV23ZssXUqVPHuLq6mrp165pvvvkm04sfDhw40JQoUcJIMmPGjLF67iZNmpiaNWummwMA2EJiYqIpVaqUkWSOHDmSav4HH3xgKlSoYFxcXEyVKlXM559/bjU/Ze0cNmyYKVGihPH09DRdu3Y106ZNs7q43rVr10yXLl2Mj4+PkWS5OKAyuFC4Mcb89ttv5vHHHzc+Pj7Gw8PDVKtWzQwdOtQkJSWlmdeZM2dMx44djaenp/H39zevv/666dWrl+Wihsm5v/HGGyY4ONi4uLiYsmXLmrfeeivdGH744QdTqVIl4+bmZpo0aWI+/fTTDC8Unl6uxhiTlJRkgoODrS66DgD5XXbr5rhx40xgYKBxcHAwYWFhxhjr7w63S7k9OXr0qOnSpYvx8vIyRYoUMQ0aNDDbtm1LN7bMtj/GGPPNN9+YunXrGldXV1OyZEnTuXNny7zbLxRujDGHDh0yDz30kHF1dTVVqlQxq1at4kLhAOxOejU3o8/WBw4cMKGhocbPz8+4ubmZKlWqWF0I+/YLhRvz38XCn376aVOkSBETEBBgJk+enOp5//77b9OmTRtTtGhRU7lyZbNixYpUFwrPrI5ndqHw8ePHm+rVqxsPDw/j6+trOnbsaP744w/L/J9//tnUqlXLuLu7myZNmphFixZZXSjcGGPmzJlj7rnnHuPh4WE6depk3njjDRMYGGiZHxcXZ1q0aGE8PDxMmTJlzPvvv58q15TbEyC7HIxJcbI2ALARY4wqV66s559/Xi+99JKtwwEA2NilS5d0zz33aO7cuercubOtwwEAAACQwjPPPKNff/1VP/30k61DQSHChcIB5Av//POPFixYoPj4eM6bDgCFXFJSkv7991+988478vHx0WOPPWbrkAAAAABImjJlih5++GEVLVpUK1eu1GeffaYPPvjA1mGhkKGpASBf8Pf3V8mSJTVnzhwVL17c1uEAAGzo+PHjKl++vEqXLq3IyEg5O/ORFQAAAMgPtm/frsmTJ+vixYuqUKGC3n33XfXv39/WYaGQ4fRTAAAAAAAAAADALjjaOgAAAAAAAAAAAICsoKkBAAAAAAAAAADsAk0NAAAAAAAAAABgF2hqAAAAAAAAAAAAu0BTAwAAAAAAAAAA2AWaGgAAAAAAAAAAwC7Q1AAAAAAAAAAAAHaBpgYAAAAAAAAAALALNDUAAAAAAAAAAIBd+P8AmT7LmuQ0fJwAAAAASUVORK5CYII=\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Boxplot of quality by type (class distribution spread)\n", + "plt.figure()\n", + "df.boxplot(column=\"quality\", by=\"type\")\n", + "plt.suptitle(\"\")\n", + "plt.title(\"Quality by Wine Type\")\n", + "plt.xlabel(\"Type\")\n", + "plt.ylabel(\"Quality\")\n", + "plt.tight_layout()\n", + "plt.show()\n" + ], + "metadata": { + "id": "w9z9f2OMatLD", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 489 + }, + "outputId": "166997b3-54e7-451b-c030-ec3758fdedad" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ] + }, + "metadata": {} + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Correlation heatmap (numeric only)\n", + "corr = df[num_cols].corr()\n", + "plt.figure(figsize=(7, 6))\n", + "plt.imshow(corr, interpolation=\"nearest\")\n", + "plt.title(\"Correlation Heatmap\")\n", + "plt.colorbar()\n", + "plt.xticks(range(len(num_cols)), num_cols, rotation=90)\n", + "plt.yticks(range(len(num_cols)), num_cols)\n", + "plt.tight_layout()\n", + "plt.show()\n" + ], + "metadata": { + "id": "m9OZ2n2nawIP", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 623 + }, + "outputId": "687c3017-c2f9-4ca5-b240-7c04ef6f4b8f" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
    " + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "NHQPRTdLZI9R", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "d217abc1-6ce4-4fe1-c8d9-9a32c95f6586" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Saved merged file to: /content/outputs/wine_quality_merged.csv\n", + "Reloaded shape: (6497, 13)\n" + ] + } + ], + "source": [ + "# ---------- 6) Save ----------\n", + "OUT_DIR = Path(\"./outputs\")\n", + "OUT_DIR.mkdir(parents=True, exist_ok=True)\n", + "out_file = OUT_DIR / \"wine_quality_merged.csv\"\n", + "df.to_csv(out_file, index=False)\n", + "print(f\"\\nSaved merged file to: {out_file.resolve()}\")\n", + "\n", + "# Quick verification of saved file\n", + "df_check = pd.read_csv(out_file)\n", + "print(\"Reloaded shape:\", df_check.shape)\n" + ] + }, + { + "cell_type": "markdown", + "source": [ + "# New Section" + ], + "metadata": { + "id": "AfMJASR-SCL7" + } + } + ] +} \ No newline at end of file diff --git a/a0.1/project2_arianshs.ipynb b/a0.1/project2_arianshs.ipynb new file mode 100644 index 0000000..acf3810 --- /dev/null +++ b/a0.1/project2_arianshs.ipynb @@ -0,0 +1,1476 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "h6pr9RxJiBKU" + }, + "source": [ + "# 🏠 Mini-Project: Preprocess & Engineer Features on Ames Housing Dataset\n", + "\n", + "> **Goal: Work with the [Ames Housing dataset](https://www.kaggle.com/datasets/prevek18/ames-housing-dataset?select=AmesHousing.csv) to perform data preprocessing and create meaningful new features. You will:**\n", + "> - Handle **missing values**, **duplicates**, and **outliers** \n", + "> - Detect and fix **skewness** in numerical features \n", + "> - Encode categorical variables into numeric formats \n", + "> - Create **non-linear features** (e.g., polynomial, log, interaction terms) from existing variables \n", + "> - Save the cleaned and enriched dataset into a new CSV file \n", + "\n", + "

    📢⚠️📂

    \n", + "\n", + "

    Please name your file using the format: assignmentName_nickname.py/.ipynb (e.g., project2_rezashokrzad.py) and push it to GitHub with a clear commit message.

    \n", + "\n", + "

    🚨📝🧠

    \n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7CksOccRjV4s" + }, + "source": [ + "## 🔹 Step 1: Load the Dataset\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 326 + }, + "id": "Nlz-ZiyHgmQb", + "outputId": "b7590ba0-2688-4858-e23d-499faedb3244" + }, + "source": [ + "# TODO: Load the Ames Housing dataset into a DataFrame.\n", + "# Hint: The dataset is available on Kaggle (\"Ames Housing\").\n", + "# After loading, display the first and last 5 rows to check if it worked.\n", + "# Install dependencies as needed:\n", + "# pip install kagglehub[pandas-datasets]\n", + "import pandas as pd\n", + "import numpy as np\n", + "from sklearn.preprocessing import LabelEncoder, OrdinalEncoder, OneHotEncoder, StandardScaler, MinMaxScaler, RobustScaler\n", + "from sklearn.model_selection import train_test_split\n", + "from sklearn.linear_model import LinearRegression\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "import kagglehub\n", + "from kagglehub import KaggleDatasetAdapter\n", + "\n", + "# Set the path to the file you'd like to load\n", + "file_path = \"AmesHousing.csv\"\n", + "\n", + "# Load the latest version\n", + "df = kagglehub.load_dataset(\n", + " KaggleDatasetAdapter.PANDAS,\n", + " \"shashanknecrothapa/ames-housing-dataset\",\n", + " file_path,\n", + " # Provide any additional arguments like\n", + " # sql_query or pandas_kwargs. See the\n", + " # documenation for more information:\n", + " # https://github.com/Kaggle/kagglehub/blob/main/README.md#kaggledatasetadapterpandas\n", + ")\n", + "\n", + "\n", + "df.head(5)" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "markdown", + "metadata": { + "id": "OdX7swaujg_u" + }, + "source": [ + "## 🔹 Step 2: Exploratory Data Review (EDR)" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "DMYRBPWWjgpo", + "outputId": "bb5e68b6-60c3-4338-d268-1fcec406b094" + }, + "source": [ + "# TODO: Perform initial exploration of the dataset.\n", + "# - Check shape, column names, smaples\n", + "# - Get summary info, data types\n", + "# - Descriptive statistics\n", + "\n", + "df.shape\n" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "wBv7xfjbmjie", + "outputId": "c943f2cd-3922-42da-e7ba-ee295a137615" + }, + "source": [ + "df.columns" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "JkrV9mGCmlTf", + "outputId": "b3658c9f-1150-4b0f-8ed0-22cfae551a0f" + }, + "source": [ + "df.info()" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 275 + }, + "id": "PQ0YzHK5mnbL", + "outputId": "6dfbac75-b499-4f21-a3ae-5000fcace5dd" + }, + "source": [ + "df.sample(5)" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 334 + }, + "id": "M8lUA1Chmn5Y", + "outputId": "69e8ce0c-6885-40fe-fe78-163b19f5427c" + }, + "source": [ + "df.describe()" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "id": "h4A675lMmp3q", + "outputId": "06d868dc-15ee-4ab3-d004-89ae4a202569" + }, + "source": [ + "df.nunique()" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "source": [ + "# Check and remove duplicate rows if there is.\n", + "\n", + "df.duplicated().sum()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "1UrCG4fmTbcE", + "outputId": "21b1a51f-76db-40c6-b6c0-468c13d134a5" + }, + "outputs": [], + "execution_count": null + }, + { + "cell_type": "markdown", + "metadata": { + "id": "quTZ6mJdjrDw" + }, + "source": [ + "## 🔹 Step 3: Missing Value Check & Handling" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 920 + }, + "id": "-0KdWkPqjs7y", + "outputId": "5c52b5c1-6106-43e0-e537-1eaae5033831" + }, + "source": [ + "# TODO: Check missing values.\n", + "# Decide on a strategy (if needed):\n", + "# - Drop if too many are missing\n", + "# - Fill with mean/median/mode/domain-specific value\n", + "pd.set_option(\"display.max_columns\", None)\n", + "pd.set_option(\"display.max_rows\", None)\n", + "df.isnull().sum()\n", + "df.isnull().sum()[df.isnull().sum() > 0].sort_values(ascending=False)" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "_8D2A5akpQzf", + "outputId": "957a8793-95eb-412d-a82d-913dad2b3ab3" + }, + "source": [ + "#drop na\n", + "df.dropna(thresh = 70, inplace=True)\n", + "df.shape" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "bXPlafzHm2yP", + "outputId": "8e53b0dc-6330-4dc1-8554-92cbc4826f6c" + }, + "source": [ + "for col in df.select_dtypes(include=[\"float64\", \"int64\"]).columns: #for numerics fill with median\n", + " df[col].fillna(df[col].median(), inplace=True)\n", + "\n", + "\n", + "for col in df.select_dtypes(include=[\"object\"]).columns: # for objects fill with mode\n", + " df[col].fillna(df[col].mode()[0], inplace=True)\n", + "\n", + "\n" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "EeL71KO0r-ix", + "outputId": "64859f35-4c96-4913-c23d-eae25030da0b" + }, + "source": [ + "df.isnull().sum().sum()" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "cv4QElCCr3oa", + "outputId": "4512dc08-7d80-46c1-e33d-84e760f7d5fb" + }, + "source": [ + "df.info()" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "iuuDgx_Js4B3", + "outputId": "c7edf127-14ea-4738-950b-e03d09f84fdb" + }, + "source": [ + "\n", + "# تابع بررسی ستون\n", + "def is_numeric_but_object(series):\n", + " if series.dtype == 'object':\n", + " converted = pd.to_numeric(series, errors='coerce')\n", + " non_na_ratio = converted.notna().sum() / len(series)\n", + " return non_na_ratio == 1 # 100% numeric\n", + " else:\n", + " return False # خودش numeric نیست object که نباشه\n", + "\n", + "# لیست ستون‌هایی که object هستن ولی numeric\n", + "numeric_like_objects = []\n", + "\n", + "for col in df.columns:\n", + " if is_numeric_but_object(df[col]):\n", + " numeric_like_objects.append(col)\n", + "\n", + "print(\"Columns that are object but fully numeric:\", numeric_like_objects)" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "markdown", + "metadata": { + "id": "LWQY6vDEjyTu" + }, + "source": [ + "## 🔹 Step 4: Correlation Check & Feature Decision" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "id": "MHwMZbX_jxKJ", + "outputId": "9c900208-39a0-4d97-e214-057a61316b7f" + }, + "source": [ + "# TODO: Check correlations between numerical features and target variable (SalePrice).\n", + "# Use correlation heatmap or pairplot.\n", + "# Decide which features to keep/remove based on correlation.\n", + "\n", + "df.corr(numeric_only=True)" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "id": "B61laKs8ufhA", + "outputId": "eda3c0b6-9f53-4c57-ca60-3abb45e0fa90" + }, + "source": [ + "# فقط correlation هر ستون با target\n", + "cor_target = df.corr(numeric_only=True)['SalePrice'].sort_values(ascending=False)\n", + "\n", + "plt.figure(figsize=(6, 12)) # اندازه مناسب برای یک ستون\n", + "sns.heatmap(cor_target.to_frame(), annot=True, cmap='coolwarm') # تبدیل Series به DataFrame\n", + "plt.title(\"Correlation of Features with SalePrice\")\n", + "plt.show()" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 275 + }, + "id": "XzbUjqlg0JGO", + "outputId": "59c806d3-7dd9-4f0b-8253-7e9d424b92b9" + }, + "source": [ + "df.shape\n", + "df.tail()" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "markdown", + "metadata": { + "id": "exTa7T6qj2hv" + }, + "source": [ + "## 🔹 Step 5: Encode Categorical Variables" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "GJ6eriJ1yDNU" + }, + "source": [ + "num_cols = df.select_dtypes(exclude=['object']).columns\n", + "cat_cols = df.select_dtypes(include=['object']).columns\n" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": { + "id": "JBQbfP6jj1hS" + }, + "source": [ + "# TODO: Identify categorical variables.\n", + "# Use methods like:\n", + "# - One-hot encoding\n", + "# - Ordinal encoding\n", + "# Decide what makes sense for each feature.\n", + "\n", + "ordinal_features = [\n", + " \"Lot Shape\",\n", + " \"Land Slope\",\n", + " \"Exter Qual\",\n", + " \"Exter Cond\",\n", + " \"Bsmt Qual\",\n", + " \"Bsmt Cond\",\n", + " \"Bsmt Exposure\",\n", + " \"BsmtFin Type 1\",\n", + " \"BsmtFin Type 2\",\n", + " \"Heating QC\",\n", + " \"Kitchen Qual\",\n", + " \"Functional\",\n", + " \"Fireplace Qu\",\n", + " \"Garage Finish\",\n", + " \"Garage Qual\",\n", + " \"Garage Cond\",\n", + " \"Paved Drive\",\n", + " \"Pool QC\",\n", + " \"Fence\"\n", + "]\n", + "nominal_features = [\n", + " \"MS Zoning\",\n", + " \"Street\",\n", + " \"Alley\",\n", + " \"Land Contour\",\n", + " \"Utilities\",\n", + " \"Lot Config\",\n", + " \"Neighborhood\",\n", + " \"Condition 1\",\n", + " \"Condition 2\",\n", + " \"Bldg Type\",\n", + " \"House Style\",\n", + " \"Roof Style\",\n", + " \"Roof Matl\",\n", + " \"Exterior 1st\",\n", + " \"Exterior 2nd\",\n", + " \"Mas Vnr Type\",\n", + " \"Foundation\",\n", + " \"Heating\",\n", + " \"Central Air\",\n", + " \"Electrical\",\n", + " \"Garage Type\",\n", + " \"Misc Feature\",\n", + " \"Sale Type\",\n", + " \"Sale Condition\"\n", + "]\n", + "\n" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 275 + }, + "id": "QO-_nNb63o58", + "outputId": "961f58b9-4360-4d5f-f7c6-7b1fd9f74be1" + }, + "source": [ + "oe = OrdinalEncoder()\n", + "\n", + "'''\n", + "\n", + "\n", + "df_nominal[ordinal_features] = oe.fit_transform( df_nominal[ordinal_features])\n", + "\n", + "#example test :\n", + "df_nominal[\"Lot Shape\"].head()\n", + "'''\n", + "\n", + "# moshkel injast ke bar asase alphabet chide nashode va encoder bar asase tartib encode nemishe pas dasti map mikonim:\n", + "\n", + "\n", + "ordinal_mapping = {\n", + " \"Lot Shape\": {'IR3': 0, 'IR2': 1, 'IR1': 2, 'Reg': 3},\n", + " \"Land Slope\": {'Sev': 0, 'Mod': 1, 'Gtl': 2},\n", + " \"Exter Qual\": {'Po': 0, 'Fa': 1, 'TA': 2, 'Gd': 3, 'Ex': 4},\n", + " \"Exter Cond\": {'Po': 0, 'Fa': 1, 'TA': 2, 'Gd': 3, 'Ex': 4},\n", + " \"Bsmt Qual\": {'Po': 0, 'Fa': 1, 'TA': 2, 'Gd': 3, 'Ex': 4},\n", + " \"Bsmt Cond\": {'Po': 0, 'Fa': 1, 'TA': 2, 'Gd': 3, 'Ex': 4},\n", + " \"Bsmt Exposure\": {'No': 0, 'Mn': 1, 'Av': 2, 'Gd': 3},\n", + " \"BsmtFin Type 1\": {'Unf': 0, 'LwQ': 1, 'BLQ': 2, 'Rec': 3, 'ALQ': 4, 'GLQ': 5},\n", + " \"BsmtFin Type 2\": {'Unf': 0, 'LwQ': 1, 'BLQ': 2, 'Rec': 3, 'GLQ': 4, 'ALQ': 5},\n", + " \"Heating QC\": {'Po': 0, 'Fa': 1, 'TA': 2, 'Gd': 3, 'Ex': 4},\n", + " \"Kitchen Qual\": {'Po': 0, 'Fa': 1, 'TA': 2, 'Gd': 3, 'Ex': 4},\n", + " \"Functional\": {'Sal': 0, 'Sev': 1, 'Maj2': 2, 'Maj1': 3, 'Min2': 4, 'Min1': 5, 'Mod': 6, 'Typ': 7},\n", + " \"Fireplace Qu\": {'Po': 0, 'Fa': 1, 'TA': 2, 'Gd': 3, 'Ex': 4},\n", + " \"Garage Finish\": {'Unf': 0, 'RFn': 1, 'Fin': 2},\n", + " \"Garage Qual\": {'Po': 0, 'Fa': 1, 'TA': 2, 'Gd': 3, 'Ex': 4},\n", + " \"Garage Cond\": {'Po': 0, 'Fa': 1, 'TA': 2, 'Gd': 3, 'Ex': 4},\n", + " \"Paved Drive\": {'N': 0, 'P': 1, 'Y': 2},\n", + " \"Pool QC\": {'Fa': 0, 'TA': 1, 'Gd': 2, 'Ex': 3},\n", + " \"Fence\": {'MnWw': 0, 'MnPrv': 1, 'GdWo': 2, 'GdPrv': 3}\n", + "}\n", + "\n", + "\n", + "# اعمال mapping روی df_nominal\n", + "for col, mapping in ordinal_mapping.items():\n", + " df[col] = df[col].map(mapping)\n", + "\n", + "# حالا df_nominal خودش تغییر کرده\n", + "df[\"Lot Shape\"].head()\n", + "df.tail()" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 275 + }, + "id": "DiITxuij9Dbr", + "outputId": "79ba5148-c6e5-4604-b371-ee2d4d11dcb6" + }, + "source": [ + "ohe = OneHotEncoder(handle_unknown='ignore', sparse_output=False)\n", + "\n", + "encoded = ohe.fit_transform(df[nominal_features])\n", + "encoded_df = pd.DataFrame(encoded, columns=ohe.get_feature_names_out(nominal_features),index=df.index ) # bedune index= moshkel NaN dashtim bade .tail\n", + "df = pd.concat([df.drop(columns=nominal_features), encoded_df], axis=1)\n", + "\n", + "df.tail()" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": { + "id": "CUOmUg62-0X6", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "334b865e-183a-4791-d5c8-461afcd1f6b9" + }, + "source": [ + "df.info()" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "dV0lFI6t_l9n", + "outputId": "53003548-9fd4-42b4-a148-9d572f69e7f1" + }, + "source": [ + "df.shape\n" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ayerWnrFj-OS" + }, + "source": [ + "## 🔹 Step 6: Feature Scaling" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "cmOzqeCcj9_P" + }, + "source": [ + "# TODO: Try different scaling techniques:\n", + "# - StandardScaler\n", + "# - MinMaxScaler\n", + "# - RobustScaler\n", + "# Decide based on the distribution of features.\n", + "rs = RobustScaler()\n", + "df[num_cols] = rs.fit_transform(df[num_cols])\n" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "markdown", + "metadata": { + "id": "B8NozkS2kCDE" + }, + "source": [ + "## 🔹 Step 7: Feature Selection & Feature Creation 💡" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "elKATS4vj82a" + }, + "source": [ + "# TODO: Select the most useful features.\n", + "# Try:\n", + "# - Correlation thresholding and Removing highly collinear features\n", + "# - decide yourself for dropping useless ones\n", + "\n" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "source": [ + "# Filtering features (selecting)\n", + "target = 'SalePrice'\n", + "\n", + "# فقط ستون‌های numeric\n", + "numeric_df = df.select_dtypes(include=['int64', 'float64'])\n", + "numeric_cols = numeric_df.columns.tolist()\n", + "\n", + "# correlation با target\n", + "cor_target = numeric_df.corr()[target].abs()\n", + "\n", + "# حذف ستون‌هایی که |corr| < 0.1\n", + "relevant_features = cor_target[cor_target >= 0.1].index.tolist()\n", + "df_filtered = df[relevant_features]\n", + "\n", + "# multicollinear check\n", + "corr_matrix = df_filtered.corr().abs()\n", + "upper = corr_matrix.where(np.triu(np.ones(corr_matrix.shape), k=1).astype(bool))\n", + "to_drop = [column for column in upper.columns if any(upper[column] > 0.9)]\n", + "df_cleaned = df_filtered.drop(columns=to_drop)\n", + "\n", + "# فقط numeric هایی که حذف شدن به خاطر low correlation\n", + "numeric_removed = list(set(numeric_cols) - set(relevant_features))\n", + "\n", + "print(\"Numeric columns removed due to low correlation with target:\", numeric_removed)\n", + "print(\"Columns removed due to multicollinearity:\", to_drop)\n", + "print(\"Remaining columns:\", df_cleaned.columns.tolist())\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "L8uVNmLLND1P", + "outputId": "766040e1-e0bf-41cc-aba1-8bab15ead2c6" + }, + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "source": [ + "# فقط correlation هر ستون با target\n", + "cor_target = df_cleaned.corr(numeric_only=True)['SalePrice'].sort_values(ascending=False)\n", + "\n", + "plt.figure(figsize=(6, 12)) # اندازه مناسب برای یک ستون\n", + "sns.heatmap(cor_target.to_frame(), annot=True, cmap='coolwarm') # تبدیل Series به DataFrame\n", + "plt.title(\"Correlation of Features with SalePrice\")\n", + "plt.show()\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "id": "NmPEq3pINM5W", + "outputId": "3a3ff25e-cbb4-4459-9aab-cf042cc35931" + }, + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "source": [ + "print(df.columns.tolist())\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Rvwzr9JKdj2n", + "outputId": "dc0657c9-f177-4634-ed45-937f80191205" + }, + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "id": "irzYn2YHkFuu", + "outputId": "31f7a474-c1c7-4e8b-d600-389ddf4a4c3d" + }, + "source": [ + "# TODO: Create at least 2 NEW features.\n", + "# Examples:\n", + "# - Age of house: df[\"HouseAge\"] = df[\"YrSold\"] - df[\"YearBuilt\"]\n", + "# - Interaction: df[\"Quality_x_Size\"] = df[\"OverallQual\"] * df[\"GrLivArea\"]\n", + "# - Non-linear: df[\"Log_LotArea\"] = np.log1p(df[\"LotArea\"])\n", + "import numpy as np\n", + "\n", + "# 1. ویژگی‌های اصلی استاد\n", + "df[\"HouseAge\"] = df[\"Yr Sold\"] - df[\"Year Built\"]\n", + "df[\"Quality_x_Size\"] = df[\"Overall Qual\"] * df[\"Gr Liv Area\"]\n", + "df[\"Log_LotArea\"] = np.where(\n", + " ~df[\"Lot Area\"].isna(),\n", + " np.log1p(df[\"Lot Area\"]),\n", + " 0\n", + ")\n", + "\n", + "# 2. ویژگی‌های ترکیبی\n", + "df[\"TotalSF\"] = df[\"Total Bsmt SF\"] + df[\"1st Flr SF\"] + df[\"2nd Flr SF\"]\n", + "df[\"TotalPorchSF\"] = (df[\"Open Porch SF\"] + df[\"Enclosed Porch\"] +\n", + " df[\"3Ssn Porch\"] + df[\"Screen Porch\"])\n", + "df[\"TotalBathrooms\"] = (df[\"Full Bath\"] + 0.5 * df[\"Half Bath\"] +\n", + " df[\"Bsmt Full Bath\"] + 0.5 * df[\"Bsmt Half Bath\"])\n", + "df[\"TotalRooms\"] = df[\"TotRms AbvGrd\"] + df.get(\"BsmtRooms\", 0) # ممکنه ستون BsmtRooms نباشه\n", + "df[\"TotalOutdoorSF\"] = df.get(\"Wood Deck SF\", 0) + df[\"TotalPorchSF\"] + df.get(\"Pool Area\", 0)\n", + "\n", + "# 3. نسبت‌ها (Ratios)\n", + "df[\"GrLivArea_per_Room\"] = np.where(\n", + " (df[\"TotRms AbvGrd\"] > 0) & (~df[\"TotRms AbvGrd\"].isna()),\n", + " df[\"Gr Liv Area\"] / df[\"TotRms AbvGrd\"],\n", + " 0\n", + ")\n", + "\n", + "df[\"GarageArea_per_Car\"] = np.where(\n", + " (df[\"Garage Cars\"] > 0) & (~df[\"Garage Cars\"].isna()),\n", + " df[\"Garage Area\"] / df[\"Garage Cars\"],\n", + " 0\n", + ")\n", + "\n", + "df[\"Bath_per_Bedroom\"] = np.where(\n", + " (df[\"Bedroom AbvGr\"] > 0) & (~df[\"Bedroom AbvGr\"].isna()),\n", + " df[\"TotalBathrooms\"] / df[\"Bedroom AbvGr\"],\n", + " 0\n", + ")\n", + "\n", + "df[\"LotArea_per_GrLivArea\"] = df[\"Lot Area\"] / df[\"Gr Liv Area\"]\n", + "df[\"Year_since_remod\"] = df[\"Yr Sold\"] - df[\"Year Remod/Add\"]\n", + "\n", + "# 4. ویژگی‌های تعامل (Interactions)\n", + "df[\"OverallQual_x_TotalSF\"] = df[\"Overall Qual\"] * df[\"TotalSF\"]\n", + "df[\"OverallQual_x_GrLivArea\"] = df[\"Overall Qual\"] * df[\"Gr Liv Area\"]\n", + "\n", + "# 5. ویژگی‌های زمانی / بولین\n", + "df[\"Since_Remodel\"] = df[\"Yr Sold\"] - df[\"Year Remod/Add\"]\n", + "df[\"Is_Remodeled\"] = (df[\"Year Built\"] != df[\"Year Remod/Add\"]).astype(int)\n", + "df[\"Has_Pool\"] = (df.get(\"Pool Area\", 0) > 0).astype(int)\n", + "df[\"Has_Garage\"] = ((df.get(\"Garage Area\", 0) > 0) | (df.get(\"Garage Cars\", 0) > 0)).astype(int)\n", + "df[\"Has_Basement\"] = (df.get(\"Total Bsmt SF\", 0) > 0).astype(int)\n", + "df[\"Has_Fireplace\"] = (df.get(\"Fireplaces\", 0) > 0).astype(int)\n", + "\n", + "# 6. کیفیت ترکیبی آشپزخانه\n", + "if {\"Kitchen Qual\", \"Kitchen Cond\"}.issubset(df.columns):\n", + " df[\"Kitchen_Score\"] = (df[\"Kitchen Qual\"] + df[\"Kitchen Cond\"]) / 2\n", + "\n", + "# 7. تمیزکاری مقادیر بی‌نهایت\n", + "df.replace([np.inf, -np.inf], np.nan, inplace=True)\n", + "\n", + "df.isna().sum()\n", + "\n" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + " 🫕 to the creation.. we have Nan .. now imputing" + ], + "metadata": { + "id": "YvFKH6aNfdt2" + } + }, + { + "cell_type": "code", + "source": [ + "#nan :\n", + "# Log_LotArea\t341\n", + "#LotArea_per_GrLivArea\t3\n", + "# Imputation با Median\n", + "df[\"Log_LotArea\"].fillna(df[\"Log_LotArea\"].median(), inplace=True)\n", + "df[\"LotArea_per_GrLivArea\"].fillna(df[\"LotArea_per_GrLivArea\"].median(), inplace=True)\n", + "\n", + "df.isna().sum().sum()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "YwgQczi8fdQu", + "outputId": "66c4f397-974a-4eb6-9d85-401a89c2351c" + }, + "outputs": [], + "execution_count": null + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ohlGPfhykRMs" + }, + "source": [ + "## 🔹 Step 8: Outlier Handling" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "l0Yx7uH5kP_H" + }, + "source": [ + "# TODO: Detect and handle outliers.\n", + "# Methods:\n", + "# - IQR rule\n", + "# - Z-score\n", + "# - Visualization (boxplots, scatterplots)\n", + "\n", + "\n" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "source": [ + "# IQR\n", + "\n", + "# انتخاب ستون های عددی\n", + "Q1 = df[num_cols].quantile(0.25)\n", + "Q3 = df[num_cols].quantile(0.75)\n", + "IQR = Q3 - Q1\n", + "\n", + "outliers = ((df[num_cols] < (Q1 - 1.5 * IQR)) | (df[num_cols] > (Q3 + 1.5 * IQR))).any(axis=1)\n", + "# 1.5 standarde ama baraye taghire sensivity mishe avaz kard\n", + "\n", + "print(f'Number of outliers detected by boxplot method: {outliers.sum()}')\n", + "print(f'Percentage of outliers: {outliers.sum()/len(df)*100:.2f}%')\n", + "\n", + "df[outliers].shape" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Qm_m1p1fhvPw", + "outputId": "1bba6e47-5c97-407a-ee17-56cdcda4beb6" + }, + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "source": [ + "z_score = np.abs((df[num_cols] - df[num_cols].mean())/ df[num_cols].std())\n", + "outliers = (z_score > 1.5).any(axis=1) #inja all hame feature haro barresi mikone va agar hame out budan True (100% )\n", + "df[outliers].shape\n", + "#df[~outliers].shape #unai ke outlier nistan\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "ne_JTSxJh6vO", + "outputId": "b9be4399-9c47-4233-c645-45cd7c43616d" + }, + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "source": [ + "#boxplot;\n", + "# انتخاب ستون‌های عددی\n", + "numeric_cols = df.select_dtypes(include=[np.number]).columns.tolist()\n", + "\n", + "batch_size = 5\n", + "for i in range(0, len(numeric_cols), batch_size):\n", + " cols_batch = numeric_cols[i:i+batch_size]\n", + " df_batch = df[cols_batch]\n", + "\n", + " plt.figure(figsize=(12, len(cols_batch) * 1.5))\n", + " for j, col in enumerate(cols_batch, 1):\n", + " plt.subplot(len(cols_batch), 1, j)\n", + " sns.boxplot(x=df[col], color=\"skyblue\")\n", + " plt.title(f\"Boxplot - {col}\")\n", + " plt.tight_layout()\n", + " plt.show()\n" + ], + "metadata": { + "id": "w7sX3cubiUBv", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "outputId": "4b8d82c8-5d2d-42a9-8fbb-ce67d45acbd7" + }, + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "source": [ + "#scatterplot\n", + "\n", + "# -- تنظیمات اصلی --\n", + "target_col = 'SalePrice' # اسم ستون تارگت\n", + "batch_size = 5 # تعداد نمودارها در هر سری\n", + "\n", + "# فقط ستون‌های عددی غیر تارگت\n", + "numeric_cols = [col for col in df.select_dtypes(include=np.number).columns if col != target_col]\n", + "\n", + "# مرتب‌سازی: اول حروف، بعد اعداد\n", + "numeric_cols = sorted(numeric_cols, key=lambda x: (str(x)[0].isdigit(), str(x).lower()))\n", + "\n", + "# رسم Scatterplot به صورت Batch\n", + "for i in range(0, len(numeric_cols), batch_size):\n", + " cols_batch = numeric_cols[i:i+batch_size]\n", + "\n", + " plt.figure(figsize=(12, len(cols_batch) * 3))\n", + " for j, col in enumerate(cols_batch, 1):\n", + " plt.subplot(len(cols_batch), 1, j)\n", + " sns.scatterplot(x=df[col], y=df[target_col], alpha=0.6, color='teal', edgecolor=None)\n", + " plt.title(f\"Scatterplot: {col} vs {target_col}\")\n", + " plt.xlabel(col)\n", + " plt.ylabel(target_col)\n", + " plt.tight_layout()\n", + " plt.show()" + ], + "metadata": { + "id": "9-HJ6S25kcFz", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "outputId": "6500f9fd-57a1-40bf-d3da-eedd55631595" + }, + "outputs": [], + "execution_count": null + }, + { + "cell_type": "markdown", + "metadata": { + "id": "nDirz02_kU1e" + }, + "source": [ + "## 🔹 Step 9: Skewness Handling" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Bz0Kke71kTxQ", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "76c5cd7d-587f-490d-a939-28dcdac296f7" + }, + "source": [ + "# TODO: Check skewness of numerical features.\n", + "# Apply log, sqrt, Box-Cox, or Yeo-Johnson depending on distribution.\n", + "\n", + "from scipy.stats import boxcox, yeojohnson\n", + "\n", + "# 1️⃣ ستون‌های numeric واقعی\n", + "numeric_cols = df.select_dtypes(include=['int64', 'float64']).columns.tolist()\n", + "\n", + "# 2️⃣ بررسی skewness قبل از transformation\n", + "skew_values = df[numeric_cols].skew()\n", + "print(\"Skewness before transformation:\\n\", skew_values)\n", + "\n", + "# 3️⃣ Threshold برای skewed بودن\n", + "skew_threshold = 0.75\n", + "\n", + "# 4️⃣ کپی dataframe برای اعمال transformation\n", + "df_transformed = df.copy()\n", + "\n", + "# 5️⃣ اجرای transformation بر اساس توزیع\n", + "for col in numeric_cols:\n", + " skew_val = skew_values[col]\n", + "\n", + " if abs(skew_val) > skew_threshold:\n", + " # Positive and > 0 -> Box-Cox\n", + " if (df_transformed[col] > 0).all():\n", + " df_transformed[col], _ = boxcox(df_transformed[col])\n", + " print(f\"Applied Box-Cox on {col}\")\n", + " # اگر صفر یا منفی داره -> Yeo-Johnson\n", + " elif (df_transformed[col] <= 0).any():\n", + " df_transformed[col], _ = yeojohnson(df_transformed[col])\n", + " print(f\"Applied Yeo-Johnson on {col}\")\n", + " #Optional: log/sqrt برای skew خیلی شدید (می‌تونی فعال کنی)\n", + " elif skew_val > 2:\n", + " df_transformed[col] = np.log1p(df_transformed[col])\n", + " elif skew_val < -2:\n", + " df_transformed[col] = np.sqrt(df_transformed[col].max() - df_transformed[col])\n", + "\n", + "# 6️⃣ بررسی skewness بعد از transformation\n", + "new_skew = df_transformed[numeric_cols].skew()\n", + "print(\"Skewness after transformation:\\n\", new_skew)\n", + "\n", + "# 7️⃣ df_transformed آماده است برای scaling و مدل‌سازی" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "source": [ + "# لیست featureهایی که میخوای drop کنی\n", + "drop_cols = [\n", + " 'Has_Pool', 'Has_Shed', 'Garage_Carport',\n", + " 'OverallQual_x_GrLivArea', 'TotalBsmtSF_per_Room', 'Age_House',\n", + " 'TotRmsAbvGrd', 'GarageCars', 'LotFrontage'\n", + "]\n", + "\n", + "# چک کن که فقط ستون‌های موجود drop بشن\n", + "drop_cols_existing = [col for col in drop_cols if col in df_transformed.columns]\n", + "\n", + "# drop کردن از df\n", + "df_transformed = df_transformed.drop(columns=drop_cols_existing)\n", + "\n", + "# تایید تعداد ستون‌ها بعد از drop\n", + "print(f\"New shape of df: {df_transformed.shape}\")" + ], + "metadata": { + "id": "jUpdtyf55r-Z", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "4bc22766-ff3e-45d1-df56-48b4882bf0b4" + }, + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "source": [ + "# ---------- Step 1: Calculate skewness ----------\n", + "skewness = df_transformed.skew()\n", + "\n", + "# ---------- Step 2: Calculate outlier percentage ----------\n", + "Q1 = df_transformed.quantile(0.25)\n", + "Q3 = df_transformed.quantile(0.75)\n", + "IQR = Q3 - Q1\n", + "\n", + "outlier_mask = ((df_transformed < (Q1 - 1.5 * IQR)) | (df_transformed > (Q3 + 1.5 * IQR)))\n", + "outlier_percent = outlier_mask.sum() / len(df) * 100\n", + "\n", + "# ---------- Step 3: Classify features ----------\n", + "drop_features = []\n", + "clip_features = []\n", + "\n", + "for col in df_transformed.columns:\n", + " if col in skewness.index: # فقط برای عددی‌ها\n", + " if abs(skewness[col]) > 1 and outlier_percent[col] > 20:\n", + " drop_features.append(col)\n", + " elif outlier_percent[col] > 10:\n", + " clip_features.append(col)\n", + "\n", + "print(\"Features to DROP (too skewed + high outliers):\", drop_features)\n", + "print(\"Features to CLIP (moderate skew, outlier handling):\", clip_features)\n", + "\n", + "# ---------- Step 4: Apply clipping ----------\n", + "df_clean = df_transformed.copy()\n", + "for col in clip_features:\n", + " lower = Q1[col] - 1.5 * IQR[col]\n", + " upper = Q3[col] + 1.5 * IQR[col]\n", + " df_clean[col] = df_clean[col].clip(lower=lower, upper=upper)" + ], + "metadata": { + "id": "ldnaK53l6Y2S", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "742dab03-b0a4-41d1-cbbc-ab73e12f936a" + }, + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "source": [ + "# حذف فیچرهای غیر مفید\n", + "df_clean = df_transformed.drop(columns=['MS Zoning_RL', 'Roof Style_Gable'])\n", + "\n", + "# کلـیپ برای فیچرهای دیگه\n", + "clip_features = [\n", + " 'Exter Cond', 'BsmtFin Type 2', 'BsmtFin SF 2', 'Fireplace Qu',\n", + " 'Enclosed Porch', 'MS Zoning_RM', 'Land Contour_Lvl', 'Lot Config_Corner',\n", + " 'Neighborhood_NAmes', 'Condition 1_Norm', 'Bldg Type_1Fam',\n", + " 'House Style_1.5Fin', 'Roof Style_Hip', 'Exterior 1st_HdBoard',\n", + " 'Exterior 1st_MetalSd', 'Exterior 1st_Wd Sdng', 'Exterior 2nd_HdBoard',\n", + " 'Exterior 2nd_MetalSd', 'Exterior 2nd_Wd Sdng', 'Foundation_BrkTil',\n", + " 'Sale Type_WD ', 'Sale Condition_Normal', 'GarageArea_per_Car',\n", + " 'Bath_per_Bedroom', 'LotArea_per_GrLivArea', 'OverallQual_x_TotalSF'\n", + "]\n", + "\n", + "Q1 = df_clean[clip_features].quantile(0.25)\n", + "Q3 = df_clean[clip_features].quantile(0.75)\n", + "IQR = Q3 - Q1\n", + "\n", + "for col in clip_features:\n", + " lower = Q1[col] - 1.5 * IQR[col]\n", + " upper = Q3[col] + 1.5 * IQR[col]\n", + " df_clean[col] = df_clean[col].clip(lower=lower, upper=upper)\n", + "\n", + "# بررسی نهایی\n", + "print(\"Final shape:\", df_clean.shape)" + ], + "metadata": { + "id": "NwusMRYH8K78", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "9f1c8564-ed24-4b26-bef6-878d19333a48" + }, + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "source": [ + "# IQR\n", + "\n", + "# انتخاب ستون های عددی\n", + "Q1 = df_clean[num_cols].quantile(0.25)\n", + "Q3 = df_clean[num_cols].quantile(0.75)\n", + "IQR = Q3 - Q1\n", + "\n", + "outliers = ((df_clean[num_cols] < (Q1 - 1.5 * IQR)) | (df_clean[num_cols] > (Q3 + 1.5 * IQR))).any(axis=1)\n", + "# 1.5 standarde ama baraye taghire sensivity mishe avaz kard\n", + "\n", + "print(f'Number of outliers detected by boxplot method: {outliers.sum()}')\n", + "print(f'Percentage of outliers: {outliers.sum()/len(df)*100:.2f}%')\n", + "\n", + "df_clean[outliers].shape" + ], + "metadata": { + "id": "LzEVxxL88TIG", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "fdeec579-0cce-4e1a-f18e-8a516a3d9f13" + }, + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "source": [ + "from scipy.stats import yeojohnson, boxcox\n", + "from scipy.special import boxcox1p\n", + "\n", + "# بررسی skewness دوباره\n", + "skewness = df_clean.skew().sort_values(ascending=False)\n", + "\n", + "# انتخاب فقط فیچرهایی که skew بالا دارن\n", + "skewed_features = skewness[abs(skewness) > 0.75].index\n", + "\n", + "print(\"Number of skewed features before re-transform:\", len(skewed_features))\n", + "\n", + "# اعمال ترنسفورم مناسب\n", + "for col in skewed_features:\n", + " if (df_clean[col] <= 0).any():\n", + " # اگر صفر یا منفی داره → Yeo-Johnson\n", + " df_clean[col], _ = yeojohnson(df_clean[col])\n", + " else:\n", + " # فقط مثبت → Box-Cox\n", + " df_clean[col] = boxcox1p(df_clean[col], 0.15)\n", + "\n", + "# چک مجدد skewness\n", + "print(\"Skewness after re-transform:\")\n", + "print(df_clean[skewed_features].skew().sort_values(ascending=False))" + ], + "metadata": { + "id": "0KqLkbzD9zeA", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "e54cc001-7257-4934-e441-47235b272c34" + }, + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "\n", + "# --- لیست فیچرها ---\n", + "features_to_drop = ['MS Zoning_RL', 'Roof Style_Gable'] # خیلی skewed + high outliers\n", + "features_to_clip = [\n", + " 'Exter Cond', 'BsmtFin Type 2', 'BsmtFin SF 2', 'Fireplace Qu', 'Enclosed Porch',\n", + " 'MS Zoning_RM', 'Land Contour_Lvl', 'Lot Config_Corner', 'Neighborhood_NAmes',\n", + " 'Condition 1_Norm', 'Bldg Type_1Fam', 'House Style_1.5Fin', 'Roof Style_Hip',\n", + " 'Exterior 1st_HdBoard', 'Exterior 1st_MetalSd', 'Exterior 1st_Wd Sdng',\n", + " 'Exterior 2nd_HdBoard', 'Exterior 2nd_MetalSd', 'Exterior 2nd_Wd Sdng',\n", + " 'Foundation_BrkTil', 'Sale Type_WD ', 'Sale Condition_Normal', 'GarageArea_per_Car',\n", + " 'Bath_per_Bedroom', 'LotArea_per_GrLivArea', 'OverallQual_x_TotalSF'\n", + "]\n", + "\n", + "# --- اعمال drop ---\n", + "df_clean_dropped = df_clean.drop(columns=features_to_drop, errors='ignore')\n", + "\n", + "# --- اعمال clip ---\n", + "for col in features_to_clip:\n", + " if col in df_clean_dropped.columns:\n", + " lower = df_clean_dropped[col].quantile(0.01)\n", + " upper = df_clean_dropped[col].quantile(0.99)\n", + " df_clean_dropped[col] = df_clean_dropped[col].clip(lower, upper)\n", + "\n", + "# --- بررسی outlierها دوباره ---\n", + "def outlier_stats(df):\n", + " outlier_counts = []\n", + " for col in df.select_dtypes(include=np.number).columns:\n", + " q1 = df[col].quantile(0.25)\n", + " q3 = df[col].quantile(0.75)\n", + " iqr = q3 - q1\n", + " lower = q1 - 1.5*iqr\n", + " upper = q3 + 1.5*iqr\n", + " outliers = df[(df[col] < lower) | (df[col] > upper)]\n", + " outlier_counts.append(len(outliers))\n", + " total_outliers = sum(outlier_counts)\n", + " perc_outliers = total_outliers / (df.shape[0] * df.select_dtypes(include=np.number).shape[1]) * 100\n", + " print(f\"Number of outliers detected by boxplot method: {total_outliers}\")\n", + " print(f\"Percentage of outliers: {perc_outliers:.2f}%\")\n", + " print(df.shape)\n", + "\n", + "outlier_stats(df_clean_dropped)" + ], + "metadata": { + "id": "Z1_SNXYX-fY-", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "2ede4653-69da-4436-c0e3-7da6a4ea4a9b" + }, + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "source": [ + "z_score = np.abs((df_clean_dropped[num_cols] - df_clean_dropped[num_cols].mean())/ df_clean_dropped[num_cols].std())\n", + "outliers = (z_score > 3).any(axis=1) #inja all hame feature haro barresi mikone va agar hame out budan True (100% )\n", + "df_clean_dropped[outliers].shape\n", + "#df[~outliers].shape #unai ke outlier nistan" + ], + "metadata": { + "id": "xq_9wiuGC5sB" + }, + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "source": [ + "for col in df_clean_dropped.select_dtypes(include=[\"float64\", \"int64\"]).columns: #for numerics fill with median\n", + " df_clean_dropped[col].fillna(df_clean_dropped[col].median(), inplace=True)" + ], + "metadata": { + "id": "NSLpNaL__Elw" + }, + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "source": [ + "df_clean_dropped.isna().sum().sum()" + ], + "metadata": { + "id": "ZpEh-I5U_erh" + }, + "outputs": [], + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "## 🔹 Step 10: remove duplicates" + ], + "metadata": { + "id": "o2J0iiYoWANg" + } + }, + { + "cell_type": "code", + "source": [ + "# تعداد ردیف‌های duplicate\n", + "num_duplicates = df_clean.duplicated().sum()\n", + "print(f\"Number of duplicate rows: {num_duplicates}\")\n", + "\n", + "# حذف duplicates و ذخیره در df_clean_dropped\n", + "df_clean_dropped = df_clean.drop_duplicates()\n", + "print(f\"Shape after dropping duplicates: {df_clean_dropped.shape}\")" + ], + "metadata": { + "id": "vWUpaXGJWC-k" + }, + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "source": [ + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "import numpy as np\n", + "\n", + "# انتخاب ستون‌های عددی\n", + "numeric_cols = df_clean_dropped.select_dtypes(include=[np.number]).columns.tolist()\n", + "\n", + "batch_size = 5\n", + "for i in range(0, len(numeric_cols), batch_size):\n", + " cols_batch = numeric_cols[i:i+batch_size]\n", + " df_batch = df_clean_dropped[cols_batch]\n", + "\n", + " plt.figure(figsize=(12, len(cols_batch) * 1.5))\n", + " for j, col in enumerate(cols_batch, 1):\n", + " plt.subplot(len(cols_batch), 1, j)\n", + " sns.boxplot(x=df_clean_dropped[col], color=\"skyblue\")\n", + " plt.title(f\"Boxplot - {col}\")\n", + " plt.tight_layout()\n", + " plt.show()" + ], + "metadata": { + "id": "DYa0F9PhAM2P" + }, + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "source": [ + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "import numpy as np\n", + "\n", + "# تنظیمات اصلی\n", + "target_col = 'SalePrice' # اسم ستون تارگت\n", + "batch_size = 5 # تعداد نمودارها در هر سری\n", + "\n", + "# فقط ستون‌های عددی غیر تارگت\n", + "numeric_cols = [col for col in df_clean_dropped.select_dtypes(include=np.number).columns if col != target_col]\n", + "\n", + "# مرتب‌سازی: اول حروف، بعد اعداد\n", + "numeric_cols = sorted(numeric_cols, key=lambda x: (str(x)[0].isdigit(), str(x).lower()))\n", + "\n", + "# رسم Scatterplot به صورت Batch\n", + "for i in range(0, len(numeric_cols), batch_size):\n", + " cols_batch = numeric_cols[i:i+batch_size]\n", + "\n", + " plt.figure(figsize=(12, len(cols_batch) * 3))\n", + " for j, col in enumerate(cols_batch, 1):\n", + " plt.subplot(len(cols_batch), 1, j)\n", + " sns.scatterplot(x=df_clean_dropped[col], y=df_clean_dropped[target_col], alpha=0.6, color='teal', edgecolor=None)\n", + " plt.title(f\"Scatterplot: {col} vs {target_col}\")\n", + " plt.xlabel(col)\n", + " plt.ylabel(target_col)\n", + " plt.tight_layout()\n", + " plt.show()" + ], + "metadata": { + "id": "sTQmUrEmAXk8" + }, + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "source": [ + "import metrics_helper\n", + "metrics_plot(df_clean_dropped)" + ], + "metadata": { + "id": "PH1oNOkXAh6d" + }, + "outputs": [], + "execution_count": null + }, + { + "cell_type": "markdown", + "metadata": { + "id": "AlW4RbaTkeSu" + }, + "source": [ + "## 💾 Step 11: Save Cleaned Dataset" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "naZHc5dnkamR" + }, + "source": [ + "# Save your final cleaned and engineered dataset to CSV.\n", + "df_clean_dropped.to_csv(\"AmesHousing_clean_by_Arianshs.csv\", index=False)\n", + "print(\"✅ Cleaned dataset saved successfully!\")\n" + ], + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": { + "id": "a80f4e76" + }, + "source": [], + "outputs": [], + "execution_count": null + } + ], + "metadata": { + "colab": { + "provenance": [], + "collapsed_sections": [ + "nDirz02_kU1e" + ] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/a0.1/reqirement.txt b/a0.1/reqirement.txt new file mode 100644 index 0000000..24e7ad5 --- /dev/null +++ b/a0.1/reqirement.txt @@ -0,0 +1,62 @@ +absl-py==2.3.1 +asttokens==3.0.0 +astunparse==1.6.3 +certifi==2025.10.5 +charset-normalizer==3.4.3 +colorama==0.4.6 +comm==0.2.3 +debugpy==1.8.17 +decorator==5.2.1 +exceptiongroup==1.3.0 +executing==2.2.1 +flatbuffers==25.9.23 +gast==0.6.0 +google-pasta==0.2.0 +grpcio==1.75.1 +h5py==3.14.0 +idna==3.10 +ipykernel==6.30.1 +ipython==8.37.0 +jedi==0.19.2 +jupyter_client==8.6.3 +jupyter_core==5.8.1 +keras==3.11.3 +libclang==18.1.1 +Markdown==3.9 +markdown-it-py==4.0.0 +MarkupSafe==3.0.3 +matplotlib-inline==0.1.7 +mdurl==0.1.2 +ml_dtypes==0.5.3 +namex==0.1.0 +nest-asyncio==1.6.0 +numpy==2.2.6 +opt_einsum==3.4.0 +optree==0.17.0 +packaging==25.0 +parso==0.8.5 +pillow==11.3.0 +platformdirs==4.4.0 +prompt_toolkit==3.0.52 +protobuf==6.32.1 +psutil==7.1.0 +pure_eval==0.2.3 +Pygments==2.19.2 +python-dateutil==2.9.0.post0 +pywin32==311 +pyzmq==27.1.0 +requests==2.32.5 +rich==14.1.0 +six==1.17.0 +stack-data==0.6.3 +tensorboard==2.20.0 +tensorboard-data-server==0.7.2 +tensorflow==2.20.0 +termcolor==3.1.0 +tornado==6.5.2 +traitlets==5.14.3 +typing_extensions==4.15.0 +urllib3==2.5.0 +wcwidth==0.2.14 +Werkzeug==3.1.3 +wrapt==1.17.3 diff --git a/a0.1/util.py b/a0.1/util.py new file mode 100644 index 0000000..994ba4c --- /dev/null +++ b/a0.1/util.py @@ -0,0 +1,118 @@ +import hashlib +import os +import re +import shutil +import subprocess +import sys +from pathlib import Path +import argparse + +env_dict = { + "FOLDER_TEMPLATE": "a{version}", + "FILE_TEMPLATE": "AI-DS_Nexus__A{version_with_underscore}", + "FINAL_LITERAL": "__RezaShokr" +} + +def get_version(version=None): + if version is None: + version = input("Version: ") + return version, version.replace('.', '_') + +def get_username(): + try: + result = subprocess.run( + ["git", "config", "user.name"], + capture_output=True, + text=True, + check=True + ) + raw_username = result.stdout.strip() + sanitized_username = re.sub(r'\W+', '_', raw_username) + return sanitized_username + except subprocess.CalledProcessError as e: + raise RuntimeError(f"Failed to retrieve git username: {e}") + +def create_or_switch_branch(branch_name): + try: + result = subprocess.run( + ["git", "branch", "--list"], + capture_output=True, + text=True, + check=True + ) + branches = [line.strip().lstrip("* ") for line in result.stdout.splitlines()] + + if branch_name in branches: + print(f"Branch {branch_name} is exists. only switching.") + subprocess.run(["git", "switch", branch_name], check=True) + else: + subprocess.run(["git", "switch", "-c", branch_name], check=True) + except subprocess.CalledProcessError as e: + raise RuntimeError(f"Failed to create or switch branch: {e}") + +def commit_changes(files_count, files_name, version, base_message="Add user specific files for version {}: {}."): + try: + if files_count > 0: + subprocess.run(["git", "add", "-A"], check=True, text=True, capture_output=True) + subprocess.run( + ["git", "commit", "-m", base_message.format(version, files_name)], + check=True, + text=True, + capture_output=True + ) + except subprocess.CalledProcessError as e: + raise RuntimeError(f"Failed to commit changes: {e}") + +def get_hash(value, length=6): + return hashlib.sha256(value.encode()).hexdigest()[:length] + +def create_user_copies(folder_template, file_template, folder_version, file_version, username, final_literal): + folder = Path(folder_template.format(version=folder_version)) + if not folder.exists() or not folder.is_dir(): + raise FileNotFoundError(f"Homework not found: {folder_version}") + + file_basepattern = file_template.format(version_with_underscore=file_version) + hash_val = get_hash(username) + + files_counter, files_name = 0, [] + for file in folder.iterdir(): + if file.is_file() and file.stem.startswith(file_basepattern) and file.stem.endswith(final_literal): + base = file.stem.rsplit(final_literal, 1)[0] + new_stem = f"{base}_{username}_{hash_val}" + new_file = file.with_stem(new_stem) + if not new_file.exists(): + shutil.copy(file, new_file) + print(f"File {file.name} copied to {new_file.name}") + files_name.append(new_file.name) + files_counter += 1 + else: + print(f"File {new_file.name} already exists, skipping copy.") + return files_counter, files_name + +def main(): + parser = argparse.ArgumentParser( + description="This script creates a Git branch based on your username, copies version-specific files from a template folder, appends your sanitized username and a hash to the filenames, and commits the changes if any new files are created." + ) + parser.add_argument( + 'version', + nargs='?', + help="The version number (e.g., '1.0'). If not provided, the script will prompt you to enter it." + ) + + args = parser.parse_args() + + folder_template = env_dict["FOLDER_TEMPLATE"] + file_template = env_dict["FILE_TEMPLATE"] + final_literal = env_dict["FINAL_LITERAL"] + + folder_version, file_version = get_version(args.version) + username = get_username() + + create_or_switch_branch(username) + + files_count, files_name = create_user_copies(folder_template, file_template, folder_version, file_version, username, final_literal) + + commit_changes(files_count, files_name, folder_version) + +if __name__ == '__main__': + main() diff --git a/a10/Nexus_Assignments b/a10/Nexus_Assignments new file mode 160000 index 0000000..3e2678e --- /dev/null +++ b/a10/Nexus_Assignments @@ -0,0 +1 @@ +Subproject commit 3e2678e883373b6aed8fac739a988772fd9f8c96 From 545112bcb2c4006e5b590885231c70a10b5923f3 Mon Sep 17 00:00:00 2001 From: LeilaRostamian Date: Thu, 9 Jul 2026 00:58:15 +0330 Subject: [PATCH 6/6] Add Assignment 10 and clean up --- a10/Nexus_Assignments | 1 - 1 file changed, 1 deletion(-) delete mode 160000 a10/Nexus_Assignments diff --git a/a10/Nexus_Assignments b/a10/Nexus_Assignments deleted file mode 160000 index 3e2678e..0000000 --- a/a10/Nexus_Assignments +++ /dev/null @@ -1 +0,0 @@ -Subproject commit 3e2678e883373b6aed8fac739a988772fd9f8c96

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