From a9220d6151ebdff118b13c35f4b04b861f0e127f Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Thu, 28 Aug 2025 00:22:04 -0400 Subject: [PATCH 01/27] Test jacobian calculation --- docs/examples/jacobian/test_jacobian.ipynb | 438 +++++++++++++++++++++ 1 file changed, 438 insertions(+) create mode 100644 docs/examples/jacobian/test_jacobian.ipynb diff --git a/docs/examples/jacobian/test_jacobian.ipynb b/docs/examples/jacobian/test_jacobian.ipynb new file mode 100644 index 0000000..92194f9 --- /dev/null +++ b/docs/examples/jacobian/test_jacobian.ipynb @@ -0,0 +1,438 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "ecf3fd1a", + "metadata": {}, + "source": [ + "# Test direct Jacobian matrix calculation" + ] + }, + { + "cell_type": "markdown", + "id": "aa34179a", + "metadata": {}, + "source": [ + "Flow-based generative models use invertible transformations to evaluate the density $p(x)$ at point $x$. To evalute the density, we track the determinant of the Jacobian matrix through the inverse transformation. Flow-based models also typically use transformations wtih easy-to-compute Jacobians---for example, those with triangular Jacobians---to improve scaling in high dimensions ($D^3$). \n", + "\n", + "If we only need to evalute the density at each *sampled* point $x^{(i)} \\sim p(x)$, then we do not need to invert the transformation. We can track the Jacobian matrix through the forward (unnormalizing) transformation. Additionally, in GPSR, the distributions are at most six-dimensional, so it may be possible to compute the Jacobian directly without using a restricted architecture." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "8f899f1d", + "metadata": {}, + "outputs": [], + "source": [ + "from typing import Callable\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import torch\n", + "from torch.func import jacrev\n", + "from torch.func import vmap\n", + "\n", + "import gpsr\n", + "from gpsr.beams import NNTransform" + ] + }, + { + "cell_type": "markdown", + "id": "ed1f934c", + "metadata": {}, + "source": [ + "## Write vectorized function to compute Jacobians" + ] + }, + { + "cell_type": "markdown", + "id": "f670d207", + "metadata": {}, + "source": [ + "Source: https://docs.pytorch.org/functorch/stable/generated/functorch.jacrev.html." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "a8758908", + "metadata": {}, + "outputs": [], + "source": [ + "def compute_jacobian(x: torch.Tensor, function: Callable) -> torch.Tensor:\n", + " return vmap(jacrev(function))(x)" + ] + }, + { + "cell_type": "markdown", + "id": "fee49895", + "metadata": {}, + "source": [ + "Test on simple function." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "0f635886", + "metadata": {}, + "outputs": [], + "source": [ + "def transform(x: torch.Tensor) -> torch.Tensor:\n", + " return torch.sin(x)\n", + "\n", + "x = torch.randn(64, 5)\n", + "J = compute_jacobian(x, transform)\n", + "assert J.shape == (x.shape[0], x.shape[1], x.shape[1])" + ] + }, + { + "cell_type": "markdown", + "id": "641b7dd5", + "metadata": {}, + "source": [ + "## Test KL minimization with NNTransform" + ] + }, + { + "cell_type": "markdown", + "id": "0b375e48", + "metadata": {}, + "source": [ + "Use the `NNTransform` function to unnormalize samples from a base distribution. This function is not invertible, so we cannot evaluate the density at an arbitrary point. But we will try to evaluate the density at a batch of sampled points, which is all we need to estimate the KL divergence. The following example minimizes the KL divergence between the model distribution and Gaussian distribution." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "ed6f9f69", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 tensor(6.3424, grad_fn=)\n", + "50 tensor(0.0838, grad_fn=)\n", + "100 tensor(0.0128, grad_fn=)\n", + "150 tensor(0.0075, grad_fn=)\n", + "200 tensor(0.0037, grad_fn=)\n" + ] + } + ], + "source": [ + "ndim = 2\n", + "size = 10_000\n", + "\n", + "class GenModel(torch.nn.Module):\n", + " def __init__(self, transform: torch.nn.Module, base_dist: torch.distributions.Distribution) -> None:\n", + " super().__init__()\n", + " self.transform = transform\n", + " self.base_dist = base_dist\n", + "\n", + " def sample(self, size: int) -> torch.Tensor:\n", + " z = base_dist.rsample((size,))\n", + " x = transform(z)\n", + " return x\n", + "\n", + " def sample_and_log_prob(self, size: int) -> torch.Tensor:\n", + " z = base_dist.rsample((size,))\n", + " x = transform(z)\n", + " jacobian = compute_jacobian(z, transform)\n", + " ladj = torch.log(torch.abs(torch.linalg.det(jacobian)))\n", + " log_prob = base_dist.log_prob(z) - ladj\n", + " return (x, log_prob)\n", + "\n", + "\n", + "transform = NNTransform(\n", + " n_hidden=2,\n", + " width=32,\n", + " dropout=0.0,\n", + " activation=torch.nn.Tanh(),\n", + " output_scale=1.0,\n", + " phase_space_dim=ndim,\n", + ")\n", + "\n", + "base_dist = torch.distributions.MultivariateNormal(\n", + " loc=torch.zeros(ndim), \n", + " covariance_matrix=torch.eye(ndim),\n", + ")\n", + "\n", + "prior_dist = torch.distributions.MultivariateNormal(\n", + " loc=torch.zeros(ndim), \n", + " covariance_matrix=torch.eye(ndim),\n", + ")\n", + "\n", + "dist = GenModel(transform, base_dist)\n", + "optimizer = torch.optim.Adam(dist.parameters(), lr=0.01)\n", + "\n", + "history = {}\n", + "history[\"loss\"] = []\n", + "for iteration in range(201):\n", + " optimizer.zero_grad()\n", + " x, log_prob = dist.sample_and_log_prob(size)\n", + " entropy = -torch.mean(log_prob - prior_dist.log_prob(x))\n", + " loss = -entropy\n", + " loss.backward()\n", + " optimizer.step()\n", + "\n", + " history[\"loss\"].append(loss.item())\n", + "\n", + " if iteration % 50 == 0:\n", + " print(iteration, loss)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "664c404d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(3.0, 2.0))\n", + "ax.plot(history[\"loss\"])\n", + "ax.set_xlabel(\"Iteration\")\n", + "ax.set_ylabel(\"Loss\")\n", + "ax.set_ylim(-0.2, ax.get_ylim()[1])\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "2203c1b5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "with torch.no_grad():\n", + " # Sample and evaluate density at each point\n", + " x, log_prob = dist.sample_and_log_prob(100_000)\n", + " x = x.numpy()\n", + " log_prob = log_prob.numpy()\n", + "\n", + " x_prior = prior_dist.rsample((x.shape[0],))\n", + "\n", + " # Sort by density\n", + " idx = np.argsort(log_prob)\n", + " x = x[idx]\n", + " log_prob = log_prob[idx]\n", + "\n", + " # Plot histogram and scatter plot with points colored by density\n", + " plot_xmax = 4.0\n", + " plot_limits = 2 * [(-plot_xmax, plot_xmax)]\n", + "\n", + " fig, axs = plt.subplots(ncols=3, sharex=True, sharey=True, figsize=(8.5, 2.5))\n", + " \n", + " grid_values, grid_edges = np.histogramdd(x, bins=64, range=plot_limits, density=True)\n", + " axs[0].pcolormesh(grid_edges[0], grid_edges[1], grid_values.T)\n", + " axs[1].scatter(x[:, 0], x[:, 1], c=np.exp(log_prob), s=1)\n", + " axs[2].hist2d(x_prior[:, 0], x_prior[:, 1], bins=64, range=plot_limits, density=True)\n", + " axs[0].set_title(\"Histogram\", fontsize=\"medium\")\n", + " axs[1].set_title(\"Scatter + color density\", fontsize=\"medium\")\n", + " axs[2].set_title(\"Gaussian\", fontsize=\"medium\")\n", + " plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "bd48e24a", + "metadata": {}, + "source": [ + "### 6D" + ] + }, + { + "cell_type": "markdown", + "id": "14a99bc5", + "metadata": {}, + "source": [ + "Let's try again with a 6D distribution." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "c7d87086", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 tensor(5.6626, grad_fn=)\n", + "50 tensor(0.0299, grad_fn=)\n", + "100 tensor(0.0063, grad_fn=)\n", + "150 tensor(0.0044, grad_fn=)\n", + "200 tensor(0.0021, grad_fn=)\n" + ] + } + ], + "source": [ + "ndim = 2\n", + "size = 10_000\n", + "\n", + "transform = NNTransform(\n", + " n_hidden=2,\n", + " width=32,\n", + " dropout=0.0,\n", + " activation=torch.nn.Tanh(),\n", + " output_scale=1.0,\n", + " phase_space_dim=ndim,\n", + ")\n", + "\n", + "base_dist = torch.distributions.MultivariateNormal(\n", + " loc=torch.zeros(ndim), \n", + " covariance_matrix=torch.eye(ndim),\n", + ")\n", + "\n", + "prior_dist = torch.distributions.MultivariateNormal(\n", + " loc=torch.zeros(ndim), \n", + " covariance_matrix=torch.eye(ndim),\n", + ")\n", + "\n", + "dist = GenModel(transform, base_dist)\n", + "optimizer = torch.optim.Adam(dist.parameters(), lr=0.01)\n", + "\n", + "history = {}\n", + "history[\"loss\"] = []\n", + "for iteration in range(201):\n", + " optimizer.zero_grad()\n", + " x, log_prob = dist.sample_and_log_prob(size)\n", + " entropy = -torch.mean(log_prob - prior_dist.log_prob(x))\n", + " loss = -entropy\n", + " loss.backward()\n", + " optimizer.step()\n", + "\n", + " history[\"loss\"].append(loss.item())\n", + "\n", + " if iteration % 50 == 0:\n", + " print(iteration, loss)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "edd26498", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(3.0, 2.0))\n", + "ax.plot(history[\"loss\"])\n", + "ax.set_xlabel(\"Iteration\")\n", + "ax.set_ylabel(\"Loss\")\n", + "ax.set_ylim(-0.2, ax.get_ylim()[1])\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "cf1efa6e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "with torch.no_grad():\n", + " # Sample and evaluate density at each point\n", + " x, log_prob = dist.sample_and_log_prob(100_000)\n", + " x = x.numpy()\n", + " log_prob = log_prob.numpy()\n", + "\n", + " x_prior = prior_dist.rsample((x.shape[0],))\n", + "\n", + " # Sort by density\n", + " idx = np.argsort(log_prob)\n", + " x = x[idx]\n", + " log_prob = log_prob[idx]\n", + "\n", + " # Plot histogram and scatter plot with points colored by density\n", + " plot_xmax = 4.0\n", + " plot_limits = 2 * [(-plot_xmax, plot_xmax)]\n", + "\n", + " fig, axs = plt.subplots(ncols=3, sharex=True, sharey=True, figsize=(8.5, 2.5))\n", + " \n", + " grid_values, grid_edges = np.histogramdd(x, bins=64, range=plot_limits, density=True)\n", + " axs[0].pcolormesh(grid_edges[0], grid_edges[1], grid_values.T)\n", + " axs[1].scatter(x[:, 0], x[:, 1], c=np.exp(log_prob), s=1)\n", + " axs[2].hist2d(x_prior[:, 0], x_prior[:, 1], bins=64, range=plot_limits, density=True)\n", + " axs[0].set_title(\"Histogram\", fontsize=\"medium\")\n", + " axs[1].set_title(\"Scatter + color density\", fontsize=\"medium\")\n", + " axs[2].set_title(\"Gaussian\", fontsize=\"medium\")\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5bad2980", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "gpsr", + "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": 5 +} From fec9b20e00677457f5efaeabd571e565598912f5 Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Thu, 28 Aug 2025 00:26:14 -0400 Subject: [PATCH 02/27] Add 6D example --- docs/examples/jacobian/test_jacobian.ipynb | 50 +++++++++++----------- 1 file changed, 25 insertions(+), 25 deletions(-) diff --git a/docs/examples/jacobian/test_jacobian.ipynb b/docs/examples/jacobian/test_jacobian.ipynb index 92194f9..c302714 100644 --- a/docs/examples/jacobian/test_jacobian.ipynb +++ b/docs/examples/jacobian/test_jacobian.ipynb @@ -20,7 +20,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 10, "id": "8f899f1d", "metadata": {}, "outputs": [], @@ -55,7 +55,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 11, "id": "a8758908", "metadata": {}, "outputs": [], @@ -74,7 +74,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 12, "id": "0f635886", "metadata": {}, "outputs": [], @@ -105,7 +105,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 13, "id": "ed6f9f69", "metadata": {}, "outputs": [ @@ -113,11 +113,11 @@ "name": "stdout", "output_type": "stream", "text": [ - "0 tensor(6.3424, grad_fn=)\n", - "50 tensor(0.0838, grad_fn=)\n", - "100 tensor(0.0128, grad_fn=)\n", - "150 tensor(0.0075, grad_fn=)\n", - "200 tensor(0.0037, grad_fn=)\n" + "0 tensor(6.1501, grad_fn=)\n", + "50 tensor(0.0566, grad_fn=)\n", + "100 tensor(0.0064, grad_fn=)\n", + "150 tensor(0.0041, grad_fn=)\n", + "200 tensor(0.0025, grad_fn=)\n" ] } ], @@ -185,13 +185,13 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 14, "id": "664c404d", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -211,13 +211,13 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 15, "id": "2203c1b5", "metadata": {}, "outputs": [ { "data": { - "image/png": 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dCcL2758kMhisu8BEuSuvvJJskPA8Y9IcJmpiFndtba03HybDoMURXsOY4IcWTeiIoP6G9wu6MmDCCi57/PHH++4hTPpDhwy8jpUFHOLmm2+m6xkz35XLAya+oFMCbgcmpbZu3ZrujTBXhX+Cf2MBh7ZRhx56KLk24LFBCyjl2rE6LeAaA7SdatWqFR13XA4Tn4LPgldeecXt378/PZcwaXCnnXbykqfCngHKElBZ6uFzDBMA8TmC5wGfV5hgnO08hD3nFNAlJMwOzqD5YN68eXRNoasL3jN47W699dbkjlNTU0Pz3HfffeTKotpEvKeC1xkmxWF7iwl/+KzBe0El7mESLLaVuA687nH69ddfTy49K2urg+0d3iN4v+K24DKPPPJIgyRkXD8mDnLgfRi8/g3+OcjQdo2ycoN1Hhh5xrdu1EcZGBgYrAvApg6jcmeffbbp1TIwMGgUTMU9g5XinnvuIS0XJvNglxJ2OWO3lYGBgcG6AOwaf/3110lHetJJJ63tzTEwMFhHYEiyQaMsclB7VVVVRQlRqC9EfZ+BgYHBuoA2bdpAq1atKEcC8yUMDAwMGgMjtzAwMDAwMDAwMDBYW+4WaJiNWeSYqWxgYGBgYGBgYGAAzZ0ko70JWofxijAGBgYGBgYGBgYGzZYko2clenOi+bvRghkYGBgYGBgYGKwLWO2Je+eccw6VXsQa5bfeeusK58W66ap2OgINs7HSFBalWFnxCgOD9RWYNoBJk1i9DCujrU2Ye9TAwA9zfxoYrL/36GolyWi5gxWSGlPGGIGVmbBCk4GBQUPMnj0bOnXqtFa3wdyjBgbhMPengcH6d4+uNncL3Bgs/YilYpUWGUs59u/fHx544IFGvQVXVFRAly5dYAfYF6IQWx2baWDQ5JGGFPwIn0J5eTmUlJSs1W3Jdo/i/V5cXLxWt83AYG2gsrISOnfu3KTvT9OGGjRnpP9DG7raIskjR46ERYsWwRZbbOFNy2QyMGzYMHjkkUfoRsY66Rw5OTk0NNzIGEQtc4MbNFPI19im0F2a7R5FgmxIskFzRlO+P00batCs4f77e3S1keRBgwbB33//7ZuGlY569+4NV1xxRQOCbGBgYGBgYGBgYNBUsNpIclFREfTt29c3DcsaYwJBcLqBgYGBgYGBgYFBU8LaTcU1MDAwMDAwMDAwaI4WcBxDhw5dkz9nYGBgYGBgYGBg8K9gIskGBgYGBgYGBgYGARiSbGBgYGBgYGBgYBCAIckGBgYG6wh+en8E3Hz4PTD254lre1MMDAwQlq0Hg/UOa1STbGBgYGDwz5FJZ6BiSSXce8pjULW8BhbNWgqPDB+ytjfLwMDAYL2GefUxMDAwaMJwHAfO2+5qOKLD6dCuR1uatu3gAWt7swwMDAzWe5hIsoGBgUETRjqZhqmjZtB4hw3awb1Db4K8gty1vVkGBusnuGzCdVY63bJ1FTc3s/o3z2DNwpBkAwMDgyYElFX88tHvMOLTP6D31j2hqKwQdj9uJ4hEbDjqqkP+EUF2XRdSiRTEc+P/alvmTV0Atx/zILTt2hqufOk8iMVNaWMDA4PmA0OSDQwMDNaQbGL8r5Ohc+8OUFxW1ODvmUwGHjjjKfj21R8gWZ+iaT+8M9z7+2XPnQPtpdwCye9D5zwDE3+bApc8cxZs0K8bTfvsf99CfU09HHjO3hCJRuCmw+6Bn94bATscsg1c9+bFYNsrV9jheuZPWwitOpbBNy//ABNHTKHh0IsGwybbbrRKj4mBgYFBU4bRJDfDrFsrEvGG/5SZa7J6DQwajRdveBMu3OFaOLP/ZZSIhxj9/Vi4eJfr4c7jHyIi+vmz33oE2YO8vaaOFpILxILpi+DjJ76EySOnwSdPfU3T/vx2DNx/+hPw+EXPw7ev/UhkFyPSiB/fHQ6/fjySxlPJFBHybHjjrg/ghJ7nwdlbXQk7HLo1dNiwHWw+aFPYsH+3VX5MDAzWdbiZjDdkbWdXBxrT/vJ5THv9r2COloGBgcEawNJ5yzw5BZLkyqVVcPnuN8Pfw8bD1y//ANP+mgnd+naB/OI8GHzmXmBHxOO5Q4929PneQ5/CotlL4OrBQ+B/17wG2wweQNHe3Y7egf7eskMpRGNR0ki269YGLMuC/7v0QAALG2ybJBPfv/0LHFB8HBzX4xyoXFYVup3T/55Jn3MmzYOOG7aHFyY9DHd9df2/lmwYGBgYrKswcgsDAwOD1QiM3FaX18Jpdx8HnXp1hE137E2EM5VMQzwvDvXV9RDPi0EykYYZY2bRMnlFuSIhKAPQdZNOFDneZr8t4Mf3hsNvn42ieS568nS49cMrIZlIkXa4S++O8OLURyjRT8kyMLqMsZC+O2wM3fp2hgsGXgPpZAYWz14KsyfMgz7b92qwvafecSyUtm0BW+y+mSHGBgYGzRqGJK/P2bjZMnM5GpG9mxWNmacx22lgsI5j0sipMHroONjrxF2guGWRjyCjdAFJ6f9ddgCcdudx3t8qFlfCje9cShHfPjv2gmO6nCPuEdeFt+75CA44e0/ovfWGsMsR21NU+dOnvoGHz3/WW/6vYeOgfFEFvPPgp1C5pApOvu1IOOrKg33bpaQbmH+Pv5NXmAeJ2iRs0L8b9N5mw9B9wej06XcfR3ro5697HQ67ZH8obFHg2yfc9lYdW67SY2hgsNaQrX1shDSByylcxw0db9Q6G9EmWlGdOBuUd/zbdRqsGIYkGxgYGPwHoHTi0l1vhLrqepg6ajpc+dL5NP2Pr/+iBDgkyIgPHvncI8mzJsyF0/tdCpm0A0M+uxrAtcBxZaNqCUupL54fSpHehTMWQ6eNOsAP7w73Gl4rYkHnXh3hueve8LZD2cRx3P7pVfDhY19CLCcKNRW18Njvd8KEEVNgy736QSQSoSj0/656FT595hvo2LM9bLH7pjB66FiY/tcsSCWStI50Kk3R5Ym/T4WS1kVw7eA7YObY2XDOQyfDQefus7oPr4GBgcFagyHJBgYGBv8CGFGtXFoNpW1LKHqMJLlFmxL625RR0+GKPW+hcTsaASedgbzifLhm/zvgqpfOIz0yEmQEJt/dfPh9kKhLkiNFUVkBlC+qpIjvHcc/Qgl4p9x2NBx03t5ErpfOWw62ZcP0sbMgJz8Gyfo0bLPv5uQ+8dC5z0DPzXvAPqfsRusuLiuEdx74BJJ1SVg0awlc/NQZ8OnT38BtRz0Alz17NkwZNQPeffBTj2Rzoh1DSUh9EhbOWkokGpMCc/LjtC7EpN+nrvFjbmBgYLAmYUjyugrWZdMYM3M7Fg3tprHjWnPopNKh3TrZumyydvf8Q2mHf/uNG7vBuhE9PqP/paTrvejJMyhCO33MLOg7sDf9PZYTExoHjBBnXCLISHxHfPon/PrxH7D7sTvCNa9eQNFdjNQiwVaoWFJFy6JdG9rGoUzixZvfIq0xRoQROH3YW796yyyYsQgu2/1mT15R0roYtj9gSyLdSJSXzF0GuQW5UFtVByO/Go2KDvjlo5HQpksr337ZtgV7nrgLyTi22qsfPHzeczD0jZ/BkfclEvfum3Wh/TwyIO0IAsk9Ev/c/JxVeOQNDFYRsrRTPjcK1mb55BNs2ayyimwyiXQq9LesSHyl7SCfboqYrBkYdwsDAwODfwgkm3MmzqNxlC9gJBmT4+ZMmk8EuuvGneDhX4dAXBLEuipBgsvatYD+u/Wh8c123gReveM9eOaqV6nBUwMCifGmO20MkZhoRJEgI1KJNJx13/FQUJLn2x4kvdw67sbD7oGvXh4Gv37yB+x/1p6w29ED4YNHP6fI9NkPnkSyirrqOnDBhZNuOcJb7prXLoRLnj4TbvngCui3a1+wo6KJ2Grv/kJrjRHsv2fDmfedCG06+wl2EHed8AjsX3gsvHLrO6vgiBsYGBiseZhIsoGBgUEWVC2vhqpl1VQOmqOotBCueuVCGPPjeNh0x43hugPugGULK2DS79NIt/vK9Meg91YbwjuLnoHxv06CK/a6jSJOJ992FHz85Nfw8VNfwW5HDvT0ykGUdWgB8dwYOFKSIfxNAbY/YAAceO7esOvRO8LRXc+CTCoDBS0KwCWfN3/M45Hzn4O6qjpK2yssE4l3Iz4bBdvsNwD6DOwFL9/yDvz2xWh4YNjN8Pjvm5PbBlrIzRg7G8ral8I7938i2DcAvPPAp+TMMe6XSRDPy4F4ToxeFJ679nUoblkIx1x7aINCJcM/Eb7M6NWMfzcwMDBY12BI8joEXxYt63ZpTFdLY7pvskkyeHcSnyfr9mTpfvJ1Y/Huqizblm39BgZriiCjMwWS5KtfvRB2PXKg7+/4HYdT+14EM8fN8a7XisVVpNdF8oxSg8132xQe/PEWWL6wArbbfwAc3OpkqK2sgzE/TYQ9jt8JZoydC1XLqsjmTZgaW5BfXAC/f/m3vE/k/eQCTP5zBpzS91JYOGsxbLf/ljD254mQTjkk+xDyDr19ddUJ7z6rr03SOHLexy58HvoO1NZvpe1KICc/B+484VH48xv8TYBBR+8AX7/0g9gc2yLi/MTIO+H7t36FbQdvQct9+cJQeP+Rz2m811YbUjLgh49+QfKRg8/fFy7539nwzSvD4NCL9m8gw0BNdkmr4tV05gyaC/5xG9EIh6Ws7Wlj5IK8rWRSxuwSiyzOGFxWkWX+xsgUs8k8ssI4UDWAIckGBgYGDBgdHvb2r+RLjAQZMXvC3KzzY8lnJMl9tt8Ixvw4EaKxCLTq5LdH23ibnhR5xWjtSTcfQYlwx1xzCHzz6o8w+Y/pJGugRLmEkFXMn4aEWcGCWG6U/I1RW4yNKcoxfvrgdyGYc3SDifIJ/BuNIyOW7W5GyjUQ6VQGRn8/jsaLWhbCvac/RdvtZLBRtGiZb1750dcIo7YZE/zQmxmjzYoYo/Ya5SXXDL4DNtqyB0z6bQr9rWWHMnqBGHjQ1g2O1w0H3wW/fPg7HHvdYXDCTVrqYWBgYNDUYDTJBgYGBgw3HnIPVbd75bZ3KIJ83PWHk1dwNpx485Fw0wdXiGiuJKFzJ8+npLXpY2YTWUVP40PbngrHbXAuJOpT0GHD9lTNrqiskJZBWQUS6IIW+XDGXceSi4RHUi3UJMtIkWt5JFgs6N8Wy5al5qWu2dM54zIyKowDcWfLhlQiA399P14SZGk/x9a/76mDoNfWG9Lfv3ppGIwfPpmmL1tQDn9+NwZOuf1Ib1mUmiCBRk/notICiigHgdNGfjmaxnF5AwMDg6YME0leh5BNrpA1A5cv2wi3Cu5u4ZNVyIx6Qjod3uXEy9Nb4d1GfNt882fr9mqMGTtb1sgzDFYF0L1h1LdjqOBGUGLBMXviPBhy3MPQqWd7cpcgVwqEBfDwBc/CgmmLwXUcaNO1NZS1bQGZlEOSi2eufo2iteWLK2HjbXvCSTf/Hzx3w5tEalGG8fxNb0GyDrtGLSonrXTBnLx606Q8g77zv4fAR67lMvU1CWjfow3MJ6kHQDwvChbYZPOGmmh0vzjgrD3h8r1uhZryWrj75MfhoZ9uhduPfQj++n6ciFZLbH/gljDo6B3hgbOegqv2HQKde3WAp/+6h6LQCp89842XYDhn4lwY+9ME2GT7Xv5tM1h3sYa76/+pVM8/HVYqNfTLKlg7GGXj6gUTkUXSYDHpBbB2zUkKO0Xxw3o9dk5u6Dx2zArfNt6+NwLZ5jftZkMYkmxgYGDAMOSza0gfjMU1woDyAiR+GFlFj2Mc2vVo45MnzJ+yUIxYNiyatZQGJKa5hblko4bcdtyvk2nouUUPKCwrIhKKxBV9j32EN0AgB5+5ByX8/fblaLKXE4SZzy88jjGim6hJkEMGEnQxn5gXSakdt6Djhu2gTeeWsGDGYlo0JzcHqpbV0HiiLgXP3/AWfPH893DU5QfCk5e/TMdl4m9ToKBYu2vgfqNrR15hLtxyxP2+lwiUmGCSo8LfP4z3xlG7feGO18Hpdx0Hh196wL85VQYGBgarFYYkGxgYGDCgZAAr3IXh5VvfgRdvfBMGn7UnzJu6kHyLUZuLhUWwMp6Aljd4iXQ0yRIEmb5bpOdN1acoGS+UEEvS3XGDtjAXNcoyavvx09+ySLJYJo5FPmoxUU8skyJ5RgaNjyGDRJomWxCJR0URE9clgj174nwaRDlsB+pqEnq18vcxyvzn9+MoMQ+9lrtv2gWuevl8+OSpr6kk9pI5S6mIytRRM8VmR2xadtOBvYVfNMOf3wqJBb4s1EtvaGWlZ2BgYNDUYEjyutR95bN4Cu8W4Rm1qpElZDFC54gUF3njLu8G4t1JvJuJw9W/ZTG5hcW7sbhGMYtMIlvWsK/QCe8yUxZZpqvIYA1g2Fu/ED/9/o2foWq5iLiiU8TgM/aAE3pfICzbJFFFZwuUMyA8OQHJHPDaRj1wIGLMoWQWlgUVmDyo5BSoM1ZJecpyDaPPiTTkFOZBQhFlRaK5VMPCKDjXHsu/y/k37N8dFs9ZChVLq6FF62IoX1guZrUt+O3z0dBzQHcY+dXfMOLz0dBn+54w7pfJVNQEUVCSDyffegQ8fvGLMPG3qfR4GjV0LLlfHHn5gd5unXzrUVQYBY/Z93gsHRdad12x37LBOoT/IrEItkuNWJevGBZrs7K2BdnW6SsOwtoam7VTcd17gjIqvREswbVFC709dWi/qBYIl1hECvL/WfvIx7MUFuHgv+Vzuvinx6cZu2GYxD0DAwODALCEM6+Ch1i+sBw2H9QXNtpqAzj0wv0ooppfnAf9d+tL0ov84nxfo4EEGV0rMAkvtwg1htiQCaLr09tjAycHLD7SD4uNqAQ6y4Lqijov+Y7INn5GIiIxj5LzbPpEra8ap08k0WrgJD1MymFZMOWvWUSQEVgdUO2LqvI3eeR0Cown65Pw57djKSqeImmIDYdcuC9cd9DdMGnkNLmtYldnjpsNHz3xFdx/xlOwdP5yqgSIkWes4qdeHPIL/YVRDAwMDJoKTCTZwMDAgOHbV3+khDwsqPG/MfdSlBQJ3a1HPehpalGHLGDBjYfeR04W8ivNK+S/LpFhJK+7Hbw1fPvGLz6CGsuJkBsFr5SXTKTgrx8minXIqLFYr81Vx/5kPS69UJDTFKkOm0dYxClNM1uv3A9Ehx7tYfHsJVKOoezlXM9uTslJHrngeaguF4VLMHFXbTmWvia/ZblE3x17SyIPcMWL58L3b/4CP3/0G2y1T3/o3Ktjo8+RgYGBwZqAIclrGo3onuDdInauKGvboPuGwc7LC+9GccJlD9m6bPzbwObnjahPGsEkFnG9zU51jV40mQqdJ7RhD24P+61sXR5uNlN3I70w+JcYPUx4CC+bvxyO6HgGdNiwHTz8y20UEfZBXnseQVbXINq02RZpc3c8eABUV9bDt2/+2kBagUYxrpMKj+56hNQ/LXTebJINLrnAaDK/5+T6cQpGu3UCoP/enMf9mr3fwW1xwI5GwJVSrKVzl3uz7XjINlC1vBZGffs3uXXQ+tMOfPbsd/DpM9/SPGXtSkneMeSYh+j7B498Duc+fAqM+WkCFTRB+UppW911bbAetXXZ3ImCkgFr5fKArE4UWdwtfG0llxSivEnNwyWC3ImiPhHaLnOZhJvgmn62n2x7IrzISJZt8MkXuRMUB9tfn6yCHUdfQZMsRcG4lPEfw10/JRYcRm5hYGDQbIGa2h/fG07+v+hT/PUrw+DTp7+BWDwKW+7Zj6K8M8bMhq9fHgYn3Ph/pDNGtGhbIlbAvIdxIEcMFo2N5sRh5NfMD5jJJQhSFsGlE0Ro8e/eeHCalGdE2Dgny2rck3FIuYU3XUsw8PewnfMiznKbfMvQNLY++g2xnN4vcRy6bNIJaqrqYfrfszx5CTXOlr+RRukFylP67dKHIvVYkAU9lK/Y8xZKjHz84hdW0xk3MDAwaDxMJNnAwKBZ4K6THoFfPxoJlzxzllcJDn17HzjzKSKDhaWFFPlEIGHe/fidYMn85VBfXQcPnfM/ipz23X4j+GvYeKhYUu1JK3hUZy5av0ki6TguDH17uPy7Jqk8XkakOCwSzKNqvr8Hak+rtakkPC+Zj8rwyXH5jxvwU1afjiOiT44/kuz9CpvP2zYv6iz+pmQYaPs2S1UnVMu5LhUXwQjzH9+MgRZtiqBr787w8i3vQLvubeHCJ04nNxF8YWnVsQzmTVkA7bq1XtGpNDAwMFgjMCR5VWFFmblZ3CR8i2eryc67UXgmL5de8GVZg5rVaJ1n1FaJRB25cPg687SxudcI47JMVsElFlYsXFZh8S4q1nXlA5dz8Fr2XDqSJZPX7wTiNtvuIYOGSNQl4KsXvqfxr1763iPJKIlQ9021dKug77YF95/+JNMLWyRJmDlhHhSUFUItJtNx+UEY0K84J+ZxS/lD2SUS3nWt/y60yfI+IlcMGZ1Vlzh9VeRXO2Io8qrmE0U/JHEOFh6JRKRbhia1ntyD3b+uJ9lgvszqlhMl/NSR8u3GzocNhKmjZ5DcolvfzjBrwnyYMGKqx8KrK2ph+wO2hEfOfw56b7UBXPnS+dBrqw1WeD4N1gFke9ZmaRuD7RWXGWR75vvaTTZ/NmmBD0xSyKURXMJn58XC2ybermV1qIlkcWQKd2oCLkfMIoHwyRdZe2plKZjiKzTGC3sxVygOnwNGlsIozQ2GJBsYGKz3mPYXdv8LbLH7Zt743ifvRoUw0HVh2NvDoaaqDqqXV8MP7wwngozuFfW1CejUswPMmjgPKqX7AwIjyy07llFhDwIJfAWRRD/iE687FF6/52Ns8fTLZbBBlaRXNdJIVr0y0hLC4tgfWW7QLAejw75lZflqO+It569mKUkvNvwkjQhJ9mMaZrGfGHnWdnciUu37VZrWqlMZTP17lhddRumK2ExMbhQLbLzNhvRCguW80Ud582/HQnHLIlgwfSGVuj7g7D2hoKQguMcGBgYGqx2GJBsYGKz3qC7XUeKnL38JxvwwHq565QIia9vsN4Cm9966p5eIt0G/bkSeW3VqCX9+Nwa+e/1nKG1TQqWkeWR5MVbSU1Eupg3Gvz138ztwwvWHwvO3vKc3hBcZ8QiyJrge/Q0S1SzJfVndLYIuF8jBWWKeFYgAE2HF1fNOLyTWAc9lIvNKjsHkFPGCHEhWy94hbzrA4tnLaHTjbTeC8b9O9m0rJvQ9MfJOklq8NuR9SFfUQkGLfHj22tfgjXs+gNqKWvKjLV9UAWfdf+KKTq+BgYHBaoEhyasIwe4gXhc+W/eSr1vENzvryuFdNqx7yJe1yqQLXBrBM3CBSyB4d09RYaiUwu9owabzoh45LNufN+C8IWTrdxPJ8H33ZQGH/xZkwiUrvJuJdyf5u7dSzcr83KAhMAnvmOsOg1dueZv8i797/Sc495FToLhMF9BRQH/kLXbfFIa++Qvcd8bTvnt78Bm7g21ZEMmJwHuPfKUXUnpjFtHF6PRyj1R7eWzCzs0WMgpflDgoxQhGnTkxDi7HEWbppqbL6G9OQY6u/ofkl8kl6PnjOmCRe4Wo2hfUK9PcmPQnvyfrUnTv5iJZrk2woipinVgaG7+jvAXXT4oOx4UxP46H7n27wJN/3gVTR82AYe8Mh29e+UGU6JZo08UUG1lvka1oxgrkgnaObuOcRH2oc4XFi21xpybeQ8PbRN52ZJEFWnnhbTEUavki1NaFywWzrN+3bbzgSH2Fnp+19VaM3dtMx+Vz2+BtIlXelPNw2SQrEOZrH1dwPsKmc1eN9RWGJBsYGKyXGP7JSHKlOOTCwbDxNj1hk20wUiwayc122QTqqxPw6AXPw4abd4PDL96fpi9fVAFHdz8XMqkMSS2YUTE1sN+++QvUVSf0i6x8wfNV1JND+ZJq+ODJb7WjhNQPq3nDlvG+80/586panxeJVn9WEgmPQCtCK//Oo9EyEpxISPLL/6bGI1rTjBINWhFOU7+jGmfcF/SCZl7LqtS0P7kPC7FUeP7RPbfoDpNGTqflH7v4JRj13Vg4+/4TYfsDt4IBe/Yjqz10GMH9+7/LDoJ+u/al1aD7BRZ5ad+jbXYdqIGBgcEqhCHJBgYG6yXuOvFRqFxaBfOnLYRHht8Bbbu18YgndvFfOugmWDBjMUWV0XmhXbc2MPyTP4ggI0HDiLKPyGKgqJJV4eORY0Swsp2cptcRkE1wcuybJmf28vh4Ql+QJOM0pg0mYhqIHtMkSVp9xhgNdcciqqxJtxWRUgySh8ikPeyN4b1dbJU6uY/DhXqqzGdBWdsSqMQy23IfsEz2D++OgHY92sJpQ46BnLw4nP/oqbDFoE3pBefNuz+EN+/5EA46d2/4+sXvSTZzxOUHwql3HLvyC8DAwMDgP8KQ5FUEfyJM9q6KbE4XvNiHTyrAU+N5V2c+6+Jh3cG+ZXkmbBkz5k9nQqUXPnlDtkgN7wIrLdGzl7NuZV/GLusq4l1LfD1se1wugWAyDF9DzLuuclg3U119uPwli7F81nNkipGsF8Co5Hev/Qib7rQJRSYd14HNdtoYSlqXwKihY4kgIwpLC+D6g++BIy8/ELbaqz9pZb372bKgc68OMHvS/Abk1keguWSItMkickwaYyswjyKSPJnPI8fqO4mI9fwrkl0oITGL3DbUK4cUC+ER6OC66e/iXlRcXBhbSHarCLM3Tco2pJxDyTDUdiybXw67HrUD7HbEtnDdgXdLX2Y5i2PDW/d9QvZw6UQKrnv9Itj58O3gycte8jb9/Yc/87Zr4m9TGn8RGDQ9NKLoR/BvjSpMwl/cmPSCw02xNjGbgxNrs7j8L6tEkN8/BSzBlDtQ8W3O4pLB21wuHfEhn01n8kWIsnXW1IbzBAaHcYNs4G0rMJ6QrYDL+ipfNCTZwMBgvcRVL58PFzx2Kgw57hF4+75PvOmb7tgbMt6LmQW1VQmYMXYO3HP6k8Tbttt/C/j5wz+8pLbZkxf4tYxBpwqv0cPIq43/CnLMEvJ8JJl/9xFjTa4bJOk1GA9EjDl8ZNgKIREquiwbNRUp5sspEq9IM3opi8PhEWOR7CcdMdyA/MRxdNBa/u27N36GP779Gzpu1A4WTF9MEXtNpgGm/jmDRoa++TPsdNi20Hdgbxj6xk+0OFbfW75AVPWjHgEDAwODdb3i3pAhQ2CrrbaCoqIiaNOmDRx00EEwceLE1fmTBgYGBgSMVqJ12OSR03zTx/w0ERbNXOLpjB2ZxIKkDW3Ifv5gJLlaCCIbiB4rQhxGfG30G1ZV8+TfcX5VKU/Nzyvl0bwRNh+rkKeq7OH8mESHAyb8IRFHb2P6tNk0WzhO4PxyGa9aH5+u1omfwd/xtilQdU/tg7fvsrcGSX1YZT95/KmaIIucVSyugvqaFGTSgsCLecT8mEzYZeOOVH3vwh2vJ7K872mD4KlRd8Oz4+8nWzhEtz6dV/OVY2BgYLAGIsnff/89nHPOOUSU0+k0XH311bDnnnvCuHHjoIB3S6yjyNodtKLM3JgVbmbO18WlF7wLiblJ+LqNuEMF3z7eNcPlIFlqyrtsfuo2DcmE9a2HT+fdQ2zboLY2fH5unM6Tj21mZp4ILzjii5+xfeFnwLcs796LMtN4Y5a+3uGNuz6A14a8C8dcexgcfsn+pEdG8oXA8se1VaoLlOuAAQqK86CuBhPyBAlcMm+5JrrB6DHXECuiqBLxeInoBpFjtRySzhA9MjlehCTvMUly4CrXOmUVNY4I5wif9phbwamor4oQK+kHDREAJ8N8lWWiII8sq/nx+UDeySRElmoOnAbQsm0xLJ1foeejzda/gyWptYZD7QeQ28acyQshWZ/0iHNuQS5037QLjT8z9n6YP20BdNm403+7SAz+O/5LNzsvcMGKWgTlb1xykOESgpiWAdhZ3CF87SMvuhHJCZcT8N4aXuiqbetwWSCXN7A2xVooPdPxFurcVm/nQtELQuDSjnLtYgFcEsldnih5NkTCwfkAKwrmkyD6nC54YTLu7BF+/ngb6jaiWMkKC6qtw1itJPnzzz/3fX/++ecpojxy5EjYaaedVudPGxgYNEN8+NjnUFNRS5/okvDwuc+SS0XPAd3J41iR5EgcdccWlUJGchuJx8CtTurEOAZejctHeMUfdfGPoDY5SI4VQebf5UCyXq5NDmqUuS/xSkCJd7SA0hZrmYQbZeWnHRSGMBKMUPtFJFg2dIp0q7LWdAAjfhKMIhNLaLnzS/IFSWZuGr7t8SUZSp6PLwiuS1H9i3e9ibTJkWgENt9tU2+/MJJ87f53UM/AxU+fCXuftCu899Cn8Ort78CRVxwMh140uFHHx8DAwKBJyC2CqKgQb01lZWWhf08kElBZWekbDAwMmg6a+j160q1HwQb9u8FJtxzpVdlDYjzlzxkQz1ExAYsIcr+dN4G2XUWkqFr58gYIr0eQlSTBI71KkhAgyHwc/4YRIS67UPIH9BhWEgkljcCIFCYNejIKv6yCos9yHj2vBa76LufB70KCgcuiTEOuLyq3iea1/L+lpBlcXqEkGbYa2P4EZRhy35HszpmyuEEUnWQVESm9UH+L2HDUlQdCbj6L6GHATnq7om789Tvfg+ljZlP0efbEuUSQkVuPHjqW5nn3wU+gfFElvPuA1pw3ZzT1+9PAYF3DGkvcw4jNhRdeCAMHDoS+fYXvZZiG+aabboJ1ESvKzPU5LXCJBTczZ/KGbNN97hZ8nizzu3m6O8bJ0w1RZEllqLTDKfI3VmFdS9HFVXp6nHW75OptsGr1/rrFWgpiLRHVtwgFLOuWdaX5Cp3wbh123HhREl8XEu96y+Jc4fBiKKxOfbBryLhbQJO8Ryf/MQ1ev/N9smzb5YiBDf6++7E70YDYfNCmsHTechj+6R/0vaxdKcybtsR7HmEJ5JNvOwIWz1kOHz/1jV4J09T6pnlRXmnrRhXqGIkOWrrZWcgz2RArHa+MJLPf1cuq3EEWVWY2cKpIHsJTLZBUAqUR7KAoWzf1CGESCpruBXp1lT8xXf2ISs7D744gykEZBo8q0yaiPlrNY0k3G+bhLJeprqiBjbftBWN+ngip+pRw86HftCGWE4GxP0+CM7e4zHv0bbJ9b2jfvTUcd/1h9P246w+HN+56Hw6/5IB/dT2tb1hj92e2rvQsMgxfe8iLUbDncdAhymV/ixQWhHf9Z2sruWQxNzfcEYLP36JYj7M2i0spMsWsUJcqxIPTpZyLVtlbS4HiC3Vbme6sC+JEl9WESzLYOrkkg15uvek5oY5SVklxOE/g43ydzAmKO01llSlGGtE2rifyiiAs10svXr0466yz4LPPPoMff/wROnXqlPUtGAcFfAvu3Lkz7AIHQtRiN0MTgd+qzV11JNmnJeaanywZ71yT/B9IcqY0/9+TZJ79X8u0TEw35SPJ/KbOQpJ9YOtvDEnOpmf2keRs2qomRpLTbgqGwgfUE1NczI7bWkC2e3RNbdsVe94Mf3z9N8RyYvBJ7SsekUXS+8mTX4MLLgw+Yw+wbRs+fPxLeOT8Z6naGyblxXLjkEqgX6+fAGMRi58/FkRa64NtXQ2PR4ZVGWmfllhGUmmcSS5U5FmSXkGMpXuF+k7TxO9439V6OEnmn1L5YHGm7Hv8IGFVnFSQVEF6WXlpl80XJMxEeNU0RobVoIis0jerZ05g3OXz8vk9wu5CUWk+VC2pEvsmn6F476E/cywepep9HPG8OHxc+aJv2qdPfw0/f/gbbLPfFhCLx2D343aCKHuurW7gPVBSUtKk78811ob+B5IcBK8qyzW0q4wkc10xJ8n8PsNKkWr1+fGVk+S4HU6SywrCSTJb1keSub6ak2ROB7LZrga9z8PW2QiS7OM0rtMk28Y10YaukSfJueeeCx9//DEMGzYsK0FG5OTk0GBgYNA0sbbv0a323pxI8lZ79/eILnbLX7HnrTD6+3H0vbRNC0gmUkSc6O9YHATzSSVBRvKFJKq+Lknt4ZL55f4fka4MHrzxAEEORo89f2S/LAGlD2Ka0h+z+T3yLHXJzFdZ65Q5WVbhYxl99gyM/dZwgtyyELOKCqt2z0vgE4Z1+F1EmSU5Rh9kIrp63gZJf/gj2HjifgT/pizjKGIsCDFZzjk86c+C6vI634tBy3YlsHTuMloGz1dZ+1JYhol+Er227AF3nfQY+V1vvltfeOqKl+GHt36h9WMhGERtZR0ccuF+0Byxtu9PA4P1DauVJOOD67zzzoP33nsPhg4dCt27d4d1EfyNltcq529UvJ588G++LFr+Zucz5bbC68XzN1yehcqyX10umWBvpm6MOT/U62zfdIfS8PrybH5q2NVP1ehlHaYfTJfqfY5UM6eIXBYB4PvYXmcKW3XJ8LdgfqxyWJSgRmf1Wuw4cMePzDJNdmwm5/BFm/lbM9+2YFdRMzBJXxdx2MX7w35n7OHTsf747nChUZX30PDP/oQvXxhK41iUYoeDt4Zh7wyHH94bQcQMbd7SaZcS+lp2agmT/pju0842qJwno8Me6VOfQYKsdLssgc+LHqNWmMstGNlGXbE3r/c3TpADSXySE6tCepJNa72FJKVepJk02JI8g5JjBBL0LBU5VoQ5UH0Pp1nyu7r/6GcxgQ+/y/WoW4VLMCzFpzHijqQ6op0CGLGO5UZhKb6wKKINAPudNgheuvltGs8rzIXWnVrBVy9+D1+/9D1su/8A+OXDkQGHDxDlxA1WPRrzTMwy3ReVFN0YcpWsB5IX8QjILRxMqpWIlrH2KxtYu+CLHjOnC19klReuqtVtjVOoHScs+bItvrD2kUWALVe3WQ5rB9U9jsgU5YWvkxX4cEp177BdoXtaHXZtWw7rQeaRYcZF3EVCXiYWZu0mOw5ObZbiI1l6Y13u/sHg6zEP6V1fKZpoO7taE/fQ/u3ll1+GV199lbySFyxYQEMdtzExMDAw+AfIK8j1ySU69erge0B/8dx39InR4EHH7gCbbL8RdN2ko1xGF+yoraqH2RPm+aPHQUmTLb1+G+iNs3gPy795yXAxmTgn/ZEp0U4uQ9Nlkp2D32Nsmvy7Q9Ms+nTkd+zSpel8Gs6D42p5HMf1xlhyn/p9mg9/UyT30W/LbVTLeomBcl8oCi633UvyU77KlMQoE/K4LzOXofCXDipx7fdhxi74VCLDjq0Y3nvkc9j5iO2htG0JnHjzEZSUibN069uZ9OlilRYce63QKCO6bGIs4gwMDNaBSPLjjz9On7vssotv+nPPPQcnnnji6vxpAwODZoIN+nWD/rv2pUQ8hVNuOwp+eO83uP6ge+l7+w1YlTZe0c43rryDuYdyFnLME/O49tgr6KGkFmJ+ig7bgU+aLqUVSoPMxsX3YC6CjiITlNKCJ/F5hfVkAiLTGqtIMX3SvjJ7NxqXsgg5H8kxKIqMHsqOTgDEmeXfVBSaosgUOWbJfMwGjmzeaH65T7IsNr2cBFNj5D7VVNRB1bIa2HTHTeDxS16CnLw4PDPmXjh7y6sgIXujdj9uR9hq737w1r0fUHJml94dV82FZWBg0Oyx2uUW60PXUrZkL193QqCrwS5gXSFMHsBNzm2WsZuthrsPTGKR6txSr0daJomNhdAuHodJF2o65IYWK4lXMvlISq8oVaq7ZmIVTNjPtjNdEg9PLmD7Fanlkgx96UX4seOyE7b9/Ig4rCfCZgmANjdp5+BJhdxonXVR+ZwuAuCG9wZNAzWVtXTPYEU9xDHXHgoVSyph2aIKiNg2LJm3DBbMWOTNj2WQfR7FQe2xTzZhN9QfhzlXcHkFXa/K3k1ESlX1O48QS8mFIso4n/pOZFnpkpUeWd4XnpqCa5E9ji/1xl7uniSrTJes5MNUShrFG1RSWhUW8euTSaSBsohMUHusfZCJHEvHC5RgEOlGcswj8STLCBQrkVFfl56HkqB7Nsvy99Rv8q5w1yW5DAKJcTrtCIKMLnbxCFz+3Dnwxt0fwNb7DoBT7zgGClus+4WqmiRWUXe4T6bIpYKBbnz+NzuvIFw+x5PWuayCg0sWebIea5cTHfU8VqYotH1M57EkvhwmZUzwBo/9VA1LVuRUiOfhFcRDx33yjPwS9lvpcIkILzjC+Qp3keL3VHVNeJvoKzjCtoedGy4/9RXkChYTgRXIGbMu0/Sw5lKADQwMDFYB5kyeD2f0vxRSiRQ5WRx4zj5w76lPQCaTgYpFIuP7g0e/JMLVsWc76NanE/z88Z9+BwjuJOEjwDQhu7zCS8rjpad56WcWPVbRZDVNRpC96DGRZqlBtvm4P4LMSbJK1tOy3ZAXScVr+bgkzESQZRER9IpW0WUkAxhA9siyLZwtrIwYB3xRpP1xwHJwW5EoYyKeEByT24YiHdhgI2mOKB0kcwHBaDRZyLmScOuKfKrKp0jyE+eipFUJHHn5ATDqu7Fe0uU521zjrSOTcmD+9IXwzJWv0rJl7VrAuQ+dvJquPAMDg+YGQ5INDAzWCaDN2w/vDIc5k+ZBUna1f/T4l5CTl0Plp4PWbgpXv3w+nLPdtTBz3Fwf8W1AhBUxzVoghBfRULpbTYD5uCgGoqUValAJfII4S4kFjSt5hYoi60Q+RY41Wc7S04RKB/JJFl9VJFlIK6TcguYTlnD0dyS5GBG2NVHG31WWcYIzW2DFlFRCEmWXSS6IjdtC+UGRN9wQJMTyWCnyrMivBBF9vi+KRGMUXjpgVCyphm9e+1kuD5DEBGRXkGV8SRqwx2bQqmNLKl09c/wc2HLPfqvqcjMwMDAwJDkrstUkz2KwzV0iGnRPsC4PX/cH7x7i3UYs29Qn1SgtCpVYcB/jVKE+pdE6PU+aTY9X6u6YRKmeXteaSSASen+SRXqf81g3E+9CSufq6TnlzEmDyyq43IIhU5IX2oUUVVXQ6AvreitlNe6DjWwIfH7IvIuKZRMHM3O5i4lB0wC6Gtxz8mM0vu3gATDisz+hx2ZdYL8zdofhn/5JEeZglBh9dQeXnETjecW5UFed8BNk7m/Mk/dC5RUygiwJskeOSYcsJRaqKp0iyCpZzkeWpbSCRZJxmtYnM8LsjcuDwD/D1GxIaOmT6ZRJJoyyCCnBoCixIM5IikXEWBJzSaBdzKHDdSlZBRFwPD7ibySxwL9hpJmILR1EcAGt35QeWUkukIhrEiy2k2mTSRMS1F5rh4vZk+ZDQUk+lRsnuQa40G+3PvD7Z6Og00btiSxXLK4EJ+3AG3d/CO89/Blc9tzZ0KpDeGVXg1WAbN3kWbyRuTQxW5GoSNDdgnv+M6cF7sDg1jPJHJcvcvkBl/Axz2GXOUHFl2kJX6K1Xn+kjskbYkxemMuu1Vz9W7FaJuEoC5dP1LbW7V3JdN0GZXL0PLEq5o7FOIDDaxOw4l8uq3HAJRlWIhXqKNWgUJIaZbzF5/4UYceNtZuNlUtw9y8u0cjqudyI62tNoekLQgwMDAyw4ZC6enzAx/NzoGXHlrDvqXtAxw3bw14n8uRgWQbZsmD2pAVqEtTVJEW3Pm8gOFlTHsfcmcEXUVbkl5WkVhFjWf4ZNY/CPUI5TQgXCeE+gc4S0l0iJqfJT5ovakMmLqZlcHocwInioJdXy2SiYh4a2HrU38S8ABlaHsT61HrVttB2gdg+th1E3j3HDOmCIfeF9lWVw5ZEX7hmSAcM5YYRPI5h06jsNzvuCPnS4lnxAcCE36ZCx14doLBUk6Dfv/iLPn/7fBRULq2CZQuE/eOYHyeQj/Y3r/zgu3ZGfTcGRn41enVclgYGBusxTCTZwMBgncCuRw6E/OJ8+HvYWHjzno9p2kPn/o+KgtheZSyRcIdDTm4c6utk1EL2FHgEWUWQcTl3BUl6nBTLaV5JaSWZkI4WwuZNyylwOtqw6UiylFbgT7KospJbiKiyjiYreYU/cU8VFhGuxxhVpYiwiizz/F/SHOseH6E5lpFjNY4RYooay3E5eNIN2lcZEVbbQ9bHmLQoPZOlPhnlFyK6LMd5MjJ5M1MYO1CQBI+9lG7gilXEWUpD1BomjZwOeYXc41b0Jhx83t5Eivvt0gc6bNAWJv4+FSqXVMG2+w3wZv37h/Fw2SBRqvn2T6+mgjQGBgYGjYEhyY0xS/eF+MPLTfOymQ26EViXEjB3C5/hOQdzbOBSCicvFjqdd6/EWMO0eAsdeSlYoPehvpQ5d7DN9rp0SW6hx2N1ep3VHVm5T1ZRlHczpQr0ttW24fPrLhebOUbEluiurrquuisqlxc0qWDHOsmOZ2VV+DngGbtMvuJztGDrX5Hxua/bcB0sybm+AAnuyC9GwfuPfAYWRmyRuAHAa3e8B9XLa6Bd9zawYMYSOpc3vnURPHDus1AvNayKYVKRDWXZRhNCf4hFPJUPMJNYRPzFQUREVfoQc1KMEVpFpuU0xyPIeA9rmQVNkyTZk1hIwqyIsi9Pz7t0mR+csoLzSS1UaWlGiqlMtdQPYxJeRJNlJKlY70NINMQ0O6PVEIIny+ogWMCQXhCI2YqFkHBT1BhlGSjDUAJrWUQEZ+CuFwq0uNXA8cKOR8FJigcNVuBr1aklLJm7DNp1awUHnLUn/P3jBHj5lnfo71027ghP/nGXt0qU44z8cjT03aGXPrVZJFkGjUCWLnDfczSTxcUiLy9c/sALVgQqBdpMguiyAh8+WQV/HqsCNXgJtWOOEEt1+eZUJybV4xIQPi6fK4jaDqzoRlRvd6pAj+cu1W1ZbWvWXjOJRSSl1xmr0eNVnXSblb9Eb39tOz09VsscouqdcFcoNh5dFu5A5XP24GXbWZvIz5lP4hJl7Thz+eDzrKjEuJNgxU7WscIihiQbGBisM5j853Siabl5cbjmtQthxtjZ8KKsyNapZ3vYep/NIa8wDz544hsoX1zlMTtKBlORZJ+ThWzkFXninsfcvcKLHgddLVRFPUaQkRwzoqyjxyJqLKLLOA5iXBFj79MivghBPbKo8Oz3Q+RQEWNOipX2WNkf07iwicNIs44gCx9jIqhIdCVRporVuPtpGVFWOmPVbuO8pEUWZaZxAumZySsZI91YqVD5LjOtKEagWVU+YSpig8tZFjXaglDj+jIZB5bMXU6/jZZ+Vw++0zfvtL9mwos3vUV2gE4mAzccfBekk2lYOm8Z3Dv0Jipfvvlum66Cq9DAwKC5wJBkAwODdQJIcsb9MokI6kYDNoBt9t2Cho236Qm3H/sw/P7V37Bbq2LIZFxRWIRHuKiYBS83zXySuQSDE2SvOp+OGAsiq4mx49m+qUixIsWozQV/BNkj0DJy7BFnf/KeJ7WQJBnhBCQXHoIJfDxZT/1JySgUeZbk2MaEvIzcRZwmyTISdxpPB5QnKudOGFyIhBblpkHcFsmzqk6CfxIbIaQXckOUQwZP4vOkFzJaGZEyDuV2gRF85eUcAtSnd96oPV0bOGCFxQG7b0ZFRZA49+jXDTbbaZP/fP0ZGBg0PxiSnA0+F4tIFqeE7M4Kdn7eyruK0unQcZ51y7umMvmx8EIe+dHQLqHc5bpRqSuzQ7tvakr0/DbfHGbCkWTzUBsYMj/PAY3W6/VjYlCYVCOPdS05UX1MchcxVxCemcu6wNycaLhbCM+6Ze4U3GnE4gVHePcQXzZQmMRh3VE+g3SDNYpINAIHnbcPfPv6T7DPKbvRtF8+Ggk3/t99nvRi2Nu/gsN1Q4hgsp4CZ4D8e4j/sbJvU/pk0hwz2zcvYizLTKMqSxNmkSAnoshclyznYVFkmq6ixz7ZhdhET5/s7UOIFtkjw5owe9FkOR0JbwaJsXS6wPtLkGRJkPE7vkQozbIsLkKHCG8bCymwK2PIwhLOcmVEWYagiRxTkRG14UqPjMdQRpf5ceeSJ35OfBpmudPULSAi2sm6FL3sxHKikJOfQ+QYt/3h4UNgyZyl0L5H2/987TVbqWFjHJ+yrYcvygtcMFmcv5CF/xnsLBfJmA0cjbjrRRkrAsIkfE4u+40SLduIVOvfSLXQv50sZhIC1q6n8ln7G2eSP3ap1nRg8kW2+1GmJEkweUaGqyzZeiJJ7qLFdpcrIzroLzmVzFWjmjlZcacL7iglZUv0sy1ZEa4qvUEWly+yNtDlbSDnLVl40ooKcvHCXb5iJE0UhiQbGBisE3j8khfItaCmsg7uO/1J+HPoWPjts1EeQVZRReyWTyqdviLIKnqJRCuC05D8yoWCiXoBf2TPrUFW0VORYm7xphP0hNaYvqNzhNImR9R0SYS9KDMSZUaSA5pk76VURZchS0TZK0UtZ1Ek2ZNdyIQ7ORAfJc2xIMK4L8hbSZuJOmSMJpPsQpBlUmJIwkz5d5IloFBC/OepMzyNCPFaPP5Ip2lHkEwLvTK9a+KKaCEmd8EfUaWrlRC6QTVSUYubZB6SuE35cwbkFubA47/fCW06txLXQk4MOmzQbpVdfwYGBs0PhiQbGBg0eSDxfffBTz0S6GQc+PL5oTQeiUchkxbd8uSDjODlp9V3mpmFZRHBoiE0LYQgI6FVPquqiAgnyMoWDSPGiiDTdy21EJ8qwizJsZJceLILRo6ZwwXXJnvTVICVJjIXi0C1PZWw58ku+LjMwSPiTBFjQW4diiSL77blkqzESnsKY0rmE3IUERl26G8YW5YaZQoqYXU+ucEqmuxJW1SInATM7HQIiQtGp30vMbSMlGgwosxJdH11Ak7Y6HzYYvdNoVWHUhjx2Sg4+qqD4YCz91qFV6KBgUFzgiHJ/9TFgJlq80xpK9efmesyFwvf33hXRWlJaNEQL7sbZ2/JsoJZQKWyh+4iKZyr11ndkXVlsN6PRKkeTxVaoe4W9SIAQ4iwWhp8PdFqNl4bvv4MM1cPdQ+g7GDeLad32M7Tl2S6iGX4Vui+q8gyXXfe10Xrc7fQx8fm57WK7QDvHgp0MTrcESObET6Dzx2jCWXmri+YP3WB38VBjmCymSB0Uj/MCTEvGkLuY6zSXjBirJZjtm+iIp4qGS38gYk4IyFmVfM8b+EAEUbvYW+cIsySLNNngByrISSaLMpEr0ByQRPlJC6zkMlyXGbhfcrkPE9OoeTXOJBOWUow8HfToqgIEWScJqPEyuGCfgf3CedT9BXLXyurCtqhDK2T1kK2cfI4q4Q+JLoeCUbJhnTNkARYqCwssHOikMFeAkmO23RpBYtmLvYOA748/f7FaFHa2gV48vKXDUluDBrzzMoiyXC5xsA3e5YMU9YzYPPCIIFiIkHHqDBnBosV1XLydTsbqdQSx3SLvNACH1HmyOSTT7Rh8oksBlT0giuRYQo+Pr+rTTUgyZr6KFMuxCv0eFVX1i4zZlYwn7lk1Ic7cqTz9TZH6pnDRo4ej1awH+a9M5zr+Bxn2Hnl8/DgA+NDEJBO+M5twgov1NWEioZkg/HDMTAwaFJ4bch7cEjLE+G9hz6l7/W1CepOj8hqWVhUJBqPCsJK+Vz8wc60rGGfwmBYzhssFuIvdKEs4FSinqc9JqLMEvVkEp5XoEMVD1EEGclvDF9IkTgLskx/w2lYMCTGhqgad8GJqwGXd8HF8Rzx6RvU39SQI5bRy7uQwfXJ9eO2uPGQ3yZJiBgnwk77I7dJ7hNWHcPlM7jvtipAIqLnVDxF+T/7ynYzOz313TvW6LccOP48uZL/DRvYtAifbzSgO+QX5cLiOcv0uedtt/TNxnm+fuUHOHaDc+G0zS6BMT9NWPUXrIGBwXoLQ5INDAyaDGoqa+GV296GquU18MGjn9O0Icc+BLcd/SBJKhBb7tkPDr1oP7EA8S3BjopaygQdSXy9ZD1l9yaLjPgiIQhJ3vx+yDoxz5eoxyPILDFPJePp6no6aizIqdIlSzLqI8RqXJNaQWKR2OJ3R4xHJSGmwdFDXA7s7w5Nd8ElwiynKdIcc71KfIK86yHDCTyr9ucRe2VvJ18S1MAdPjRR1tptLxoffCnxCpaEFHHxyWUYeQaADft3g9qqel/vDibsodSiXbfWsO2+W9C6yxdVwr2nPg4LZyyGGWNmw+MXPQ+jh45dXZevgYHBegYjt8hmkM4dLbjxNpNLWC1KQh0U6G+8gAjv7m/FsnRZBIzXZ0+30m4PyRLd5ZTJCXeoqOym50nlh3f98Ixa7lzBwbt+6tswh4octm15ehtqO+vpefPZPrK2LYetk9e75+MNSItEtE6vP8kykXPrWZaujC4ibNbF5gM/l8wNI7N0eVYZhcXW63KnjCxFR3xSHZbJa/DP8NUL30OiVhzvnQ7fjj6RMCOKygqhdZeW8OvHI2mQpdo8x4OqZdXeteQnyFqf0NArOSxpT5NqUTBErEdEjnV0mZNBjzwq5wolq2DRWM8bmaZrTbKQYrhSboGJhfKTtkF80ndPcqG0FQEoE2XpZqGlDGIbfJpktIPGIiGoOWaqCOV8R/pkdjhQk0xKYUzcE6l4Qn2cVkmAomgJHgObbwsVb5EyC4r6Z4SlG1XpU8deyDGCThZiPnkuAvZv2LOggC8+Vz53DgzYsx+c3u9SKlGNBUdoeXAhrbrkLQsmjZwKl+52I1z/9qWw4yHbrNqLd31HY9wtONg83MXA/6xk7WmguJav8BNzi+LrdYq01iFdGK6NcOKR0Da0pi1ro9nuJMrYTzGVQYapJpOl/Fjo0UitXlFqC90e2bP19td00MciPV+33clS/WOYC+Atm7ZDp1tM5sIlkU5EH4d4pT6+Ua79Z85RvsIi3P2JcRKLuXL5C3JxCY7/HvW5lawDsopsMJFkAwODJgP0uM3Jj0Np2xZw8Hn7wB3HPwJjf5oAu/zf9vDo8Nth8Ol7yPCxcKcQkWEZZXS1VVwDOYX0RG5AnjlR4/pjVn7ak1nwiKmXqMfJsYwce5FkGX1VUVgZvdVRWozcskhvMEqcowfAIZ7xBismBzYOMUd80rwswiwHmiYjylyigduAEWQltSC5hZSFqH0IJhyqhERtaSdLcfPosnIEURIXZaGnPn1RZNkUhby82DHmRCIb5kl/zgBbkh98cX3/sS/g7K2vhkgsCnmFudBzQA/6W0krZhHGPKVT9UwXaWBgYJAFJpJsYGDQZIBFQt5d8hzYEZvI7tA3fqJksUl/TIWztrwSDrt4P5nwxaLFKvooiRkWHWmQYMnJcYNkPVZFLxBV9uln5feGsgJBFpUcQSXjeQl7SmYhiagnucDoMRFRjCJjpFh8p2IaGHaNik9RvQ5/XmTk0XfaF/8uUiCHSk4LrTaVnJafFE3GKBQSVPzEScooAvcxLR0sVJ6jCqAza2JROVpGlHGTcB+8qLKIMIttEPtA5Jg2TB5jRyTvqTxdfAmhSBQmBXkRf3a+5HnFZDwvQYiXHsYeG0l8J4yYKtbpuLDfaYPg6KsOgvO2v4a+b7nnZvD7l39BNB6DVH2Crqtdjhy4ai5YAwOD9RrNkyRzA2yegctC/xbPtOWZnbyrKJEMz/IMdlvwv6XYQ744N7TbIlWoT4ud1NtU14p3G7Guk3R4pm1dO71svFyvP9GS7Q82xApMVuGP3DCTdotlHOfr9ST7aLlJdKKWNCSZ60VM+5T7XC/slBUqz8jk6m2OL9fH2sll2c0Jvi+MGHHzc2Y+78us5oVIguBdU7yefdZuw6Zvir6uYOa4OfDoBc9CUVkRHHPNITDsneEwZ9J8KjH86u3vSwcE9MhlXfZSb4ynt6xdCyhfUqUvMa599U3zl6fm8gqMHhOhDGqQpQ+y+GTV8qSswpfoJhPgnCBBpsH1JBZEKPE+jCAZxE90lRCk2ZaE2caiHxRQRas73Fjp+sDeExQpxccY+hI7ihzjd0fqqnFaRhJmHHA/nGAwXUzHWZX8AtUQZP1GhjIW2C6VEKES11ZUJ1Ai+Se/Zfm7SOiJDCsyTkX5PCM5LbPAP+DfZRlqdc+Kv0iTZnIokVX4MELt3ddSc+O6EM+LwU6HbgPjh0+GZfNFMYouR3SCA87ZG6aOmgEvXP86DNhzM7ADxZ8MVlHBkWxtKy8gwZ6noUV+1N+KdBEQ4A5R3PWCPc95US2beaen88PdlrizE283U+xnOdKlrKHN5fvAZJPVbEUM9gbaVclapKUXmVzuVsGKdsXdUJlHDstTrW9phbatfF/Sab3vdqn+Q2wJK87FVSfsJRRq2Uqz8CF+jrijl5zCVszaU1NMxMDAwODf4827P4CxP02k8TE/jYfaygRFE7HRTVPlrkDJOUUUKbxpw/JFlX5izK3glGsFLepPJOPyCiW38NwsvMixdHCQ/siqaIiIJms9skegGTkWBBkT8FQUWUSLKYpM47iPqOF1wIooYuxAxHbIq1hsFlJT0TAH+QVW0KPj4NqQcTLguhY4WAXPsahUN37ioDyeIY374pLO0dNe4z6lXbDSQlvsEWNV+yMqPnHd2AhSdUMHybwgyqQ7xv2maLKYz6JPSYLdABlQ0WQSNqtfUqeWuVxksZL0XQfgwgk3/h9svltfckTZ47id4O8fxsO7D3wKnz/7Hby75FnosVlXePjcp+Hukx+FS/939gpJmoGBgYF5nTYwMGhS2Omw7SjZC1HYogA222ljnzey0BcHPJBl13wD0tMYRwtPemGHyzKIKOsKeTQuo85aVsEKiDC/YyHB4BFkaecWcwHwE8lxXGiJragDdiwDkbgD0VgGYrEU5NCQhrx4CnJjSciLpSA/nqSBvsdxmpheQOMp8T2ehtx4mpaPx9IQj6chGk9DhPTLDlhRoWdWOmUaiMDLCDeOB2Qi9GkHxn0RdfmiYDc8Tj45i4rU8/PCi72wlxtxTpl2WZ2b4KdtwZFXHAQHnbMXLF9YAZ88/Q0ccdmBnkd6bWUdVCyugGFv/QxL5iyjQjSU6GlgYGCwAjTPSDI3Qs9kycZlbhWR4qKsGbjZ6s7z7n63TUu9PO/OYF1CTp7ugkA/VQ9s3GY/kWbJvvVt9XiqIFzGkOjKpCF1rAumSK8UG2aFZJ3eHjumj1eklc7Ype5ctT1LWFeOr0vLDS1WEqvWy2bYvlS305dk4QLdvVXTSa+/YI4+tqkyPT13fk2oO4W1vCpUIsOdLnxFRoJZ16yryOVdjr5xU0xkVWHHQ7eFT2pegVHfjYWNBvSA4pZF8N7Dn8Grt78HdTVJ6mZHG7iR3/wF6ZQ87j6dsU7CIygHjAaOF3q6iB4rb16MsCoSyBL41KeUW1CklGmQfe4VgSiySNzTZFREkR2RbIfyiogDkZgDNn7aGYhGcHAhYunPiOVCBCUYVGxDyy1UdT2SH2MUmSLIFmQcjCjjdxvSGTGetm3I0BARkXeUrciqeUIWYQvdsbyeSeqAEWSh/pCyDlXmGqPHrohY4x+jWNpaFD7B46JqgWB0nCLPFEnGlTH5Ba4DX2TU3/ERxHsBlN6cj9M7USC07Lrw+t0fwmY79qZrBavtPXnZyxCLi2TNThu1h0cveB4KSvKha59OMGD3fnRdeZIdg5Ujy3MtWxEuh3p9GrahTg2rQsURzCNgkhinRD+rbWn9J6DbqWgtk0MwOMXRUBcI3oamdH4nRJlJUj1rN3OKNSfAF1eFymW60U0xh4p2ZbrdqarXmolYB93W1M0oDnWFspKsfczR13pVT30O8mfpnUkziUXucn49M/cnJr2IySAE/a70FBc7zMbZOYNadlCyFOeyYv7iL26acQXmSGUzN42VdhA1ATRPkmxgYNCkEYvHYKu9+nvfDzl/Xxj/6xT4/u1f6fucyahRFg1SQcsiqKmoy0J2JAnj0grB3OSfmS7Zc7TQRNvTKJMjgyTNntyCEWmlTVYRVe5q4SXpCWkFEWR88YyintcBO+pABD/tDMSiODgQxXEkyrYDMVsQZBxH8orj2Lx4gVVZeJKS6JAcyyGNpJhIsgVpOwJpJwLpSARSGRvSaRcyTgQcKjkdEdXtZDlorJvngC3FD6LCHlWVlgF7pYygxD0i5C7YijDLaaSDFgJmkfzocMs3Uc6ayLaquuc7FzKrkJ9FdS68lwP8DSmmVswdAJ647GXo2ruD+OK6kKLqfAAFJXkwTF47Qz6/BrbcYzN4+Za34eVb3oL/u+xAOPm2o1fl5WtgYLCewMgtDAwM1glsu/8WHhFGkoxENpYXp650L7oYsA/D+X3U2Ysio4wCzYJ5kQudvKekAsHvWkagrM9UBJmP+32RPYIsNcgUQUb9sUeQkRinIQclErE05EaFhCI/moSCGA4pKIwnoDCagKJYPRTG6qEYP6N1UBStg8KomCaGOpqnKIbzJmnA5fNJhiEkG7kkwUhBLJoi+YUdS5P8gog7Ws9REiHKLSTpVR7OzA7Oc/CgFwpWSlseI/FioY6negHRLyKeawiXVtD5CVTeU3Z83vkLkOkAZo2fC8sWVsDux+ygCbVtQVk7nUHcsoPwqv/65WFUoObrl4atngvWwMBgnYeJJDPYPIOTSzIChULCCob4Co4guESDdfG7efFQ14QUK5aRKmDdTExuEWUFRFIFTOrATBpS7Zgmg8kt4vl6Gzp01BYSy2r1wr1aLvbGa9O662Ty4tbe+MZtF3rj4xdonUdZN5FJjigv1et0Ukz2UKnXmbOMSxj0Jser9XGv6qiPae5yJ7QefbyCuV7k6/VHarjmg7mWlOjz4lYyiUWwmAgb57Xm+TXCp5tiIqseVcurqWjEHcc/DC07lsGCmUskEZZZ8S5AihWKaBhJDilBTeNBuzFpjhBiAUfTvWpyzM2CR49JiyujxgHphYgcC9IsXCyQiMoIckwQZJRWkG4YP6NpiNtpyIlmII7RZDsNMduFqIXTRUTZtjDOKxL3RLkMsRMY4UVpBSbuJSmaHIUURpNdGxJWFJJuBCJpGyJWFCKWA0mSbojHBJldiPi0cMTAiDKuS66bosQor5JJecJBQzq72ZZw4ZCyC2WigZ90b8tjRO4jFPxlx5js4Vz/uDyf3qcqLMK+i1GLyk+nsTCCjFYjxv48Ecb8qMtPo6zknAdPgr+GjYPq8lq4dvCdcPfX18EZ9xwP79z/MRx4zt6r/NptTo4WXGLBYTNHCqe6OtTdgDsluNVaLhd0TrB4ASnWhnKpQKqYuSYwOUFdmR0q7fNtK2s2kyWs7ahh0oAi/byvLNdtXLt2uu3bqd0Ub/yHhRt44x1KdJtbUa83oqDXEm98l/aTvfGPp/fxxutnMdkDKybCkaebbp9bBRUOUovG9bIp5nQRZW2oG2echhfOKtSSEou7RTH43L5ImspsOZj0ZpU5qawhGJJsYGDQ5ICR4jO3uJy6y5GgYTJWaNUmplP1QdqkoQRBjEprsSAJ5vpl5mIhxlkkVFnAyemKIIvIqiCPQqMcrKQniLJn8xaT7hUygoykGCUWORhJjqYgN5KGnAgS5jTk2BnIIZKMkos0RFGfTHILlF1IOzim60OCjFNIg0wyixQR40QmCjErA0knAkkrBvUOapvlOmhwICWbggzSb2qU0BVDyhhwX5D1OlKXLKUUSlaClm/qRcGW86KbHRFiWekPdc/CyUJWDlReyUxXLfyYVTKlsoZj55nvrSTKVKqcEWd+/nMLcqG+uh4iMRuO6X6O96dFs5bAVy8NIyeM7fbf8r9cpgYGBus5DEk2MDBoMrjv9Cfgqxe/h31P290rT13cqki6WdhQsUQnw7RoXQTlS2WEKiwpTxFkRYYR3Ls16J/sdeXrqDImsSmirAmykl9oWQFFkolMB2QWTG5BGmRJkKMygoz6YyLHUZRZIEFOQV4kDbmRJEWOkSTnKIJsZyCOkWRwJFFmXqeoFaZoMkaOLUihBtmNQMqJUmQaiXLUiQmS7WAkGdfjytcI0Qxosh0VRJkmI2kWESnhtywj6IwEE6fG6ZIIU1EUJcHgBUtwOs4r3UnIHo4OGntxYcnMHvDcUTRZWs+xc4a6ZGEh54gERLZ4fU0SYrlYQCTl49ct25eaktQGBgaNgiHJHLzoB9MA+AqLcPAGlxufI7hEo0h3VaSZFCFSlw6VVUQS+kkfrdPjyzfSXUuRRLiDBIVwJOLMuaKkQGea9m6hJRPzc0r0epjIYE6lnt6n3QJvvGWO7hJb2kLvS8vc2gZ+rYiqKt21FGUFTao2YNu5nGfg6vGccu4YoUczcTv0Eo7PY+bnzN3CZz7PXEh89egrKtk6/Sb1/Pw77LzyLF0uvTD49/jm5WFUNAQtvHILcmDn/9sOvnzhe/pbq04ttdQCZT2Lq/z3oAJFjSPa+q2BZRhzsQmQYp7Ix/+mZBUeYZbaZPJKxtUGNLtadiFtIfC+RKkFuldEMxAhiUUG4pEURZHzopIcox7ZTlE0ORf/hiTZSlEkGBP48JMIMgkjZDU+2mURV0ZpRRpsKbWwIGHFIOZGIIafTgbqrSjYTkw6sfkdMijhDodYBhw3Ip0rpI+yigirAfctIwmyJMQ6aiyPGX+RwAQ+fGlRyXeBYx3mOKKT8uQ+KvcRDpXA5+nRBVHGio0tWhfDsnmi+gJeCx26t4Xdjt4Bjr/h8FV6zTb3oiG+efi9xWVq+VkKNzGZmsULcCGYXMNl7k/8Rcri42nmpFTK5G+RcPcnXnTD5xzVgjkbJdj+sHZt467zvfE55ULjjhhd3tEb712q21m8jxValOm2+MdFonw6YnFScwh8NijUFjOpQpIVBSvjDlF6vGCenr2OzZO/2O9P7i3LirD4pBRcplhdF9o2+ly9Ar05Tm1tuKNFFnlOU5VemMQ9AwODtQosI+3IB/I5D50CXft0hkwqA/U1CeizXS/Y7oAtoUWbYjj1jqOY7jgQEVYPaKlZ9oE/vDkpUwTbk17wv0mdsnS18L4rgiw1yV4k2UvmU8tJiYVXTU9U0cNEPVtGkIX2GAmyIMS5kQQRZUrYiyag0MahDooi9VAUrYdi/LTroNjG8Tr6Xox/x2n4N5pWByU0rZaWK47WQmGkngZcZ340BfkRTAqsJ0JOEWwp7yBnjYgg8Bjtxqi3kon49kdFiWUCn5QxEwnWx0efIjGuj6knYZGnkTfYoQl5KgmTn/egvEJNk5P77bIJ5Bflkc82XjPbH7AlPDLidvjti1Fw/Ebni8RPksRmYPlCrSk1MDAw4DCRZAMDg7WGqaNnwMU7XQ8FLfLhsd/vhH1PHQSDjtkRHr3gOUglUhRJ3vvkXaFqeQ2Vq/YQjA7zxDzFn7g/so94BaLGcj0qMUxFQnnU2OfKoEii9zfu5sAcIOi7IJdEkjGKHHEhFnHIzQL1yDmSpCJJzlMENoLR5CTk4TQrBXGMLGMkmTTJaXpoo2+ykltoCzghtcBIMkotUI+cdFCPjJZyDkQzqDjGKHRcWLpRhE1UysNXFCplLf2V0a+ZeoRENmAD1woeQebEWEXbwyQXwnOa5VOqFxY6f7I6XxhB9gix8FcWvy3LU6uomIok20AR4z+/HiOvAWGX9/MHv8OhH50Kjkyq/eWj3+Hwi/eHK/e8FUZ9NwZOvOVIOOaaQ1fRVW1gYLC+oFmSZO5EwEP5vu4B3j3EZBioiwzrarACxSigZWmoETeXHPBM0kwum866kGva8YIVejRRpsfTrVOhDhIpbKAlCkp119f8Oi2l2LGlzqj9fslG3vhdfd7xxuem9I9NqGvvjW/fero3Pr1GVwpxyBeqIVLdtAm8k9TnIFPL913Pn/GpXJjLR314hm+iozZmz5lbGdpt54tAsexdN+F3MPFJMSqZxIJ3AbKM3XWtHn1TweihY6G2qo6GaX/Ngi0GbQo5eXG4+KkzvHmGHP8wfPfaT7D/WXvCFoP6wqjvx4GDPXaqOIVtM9LFy1DLFYTpkRWX5oFpZlMma2jIT6lF5qSQRUQ1OVTjIjkNPynTnEpNK5KMWmSMIjsUtc0lzTFqklFuIYaCSBJy7QTJLpAs51ppSZKTEKPEvYzIE7TQxdjLUST6mwbUIgOkiCRHIYnE2slAxMVlhMxCqRbE1R8RBUiQPrtpUYgkKsiyg5n0KmFREmXcD5JZUElu+WiULwletF0dTxZN1p9SEuH79G+Rl7yHx5FrlHHdmZCy1cwvObcwB+ZNXSA1z/LoKLmGvN9bdiiFXY8YSH8f94ssf/7j+P94Ja9H+KcSCz5LsCBI2OpZoSafoxQrHkLg0rZl+jpIt9PyBhudTUJgsx79GHOFSpQymQH76URn3T5GcvTCRW11292uSMv5qBy7xFm9tIXgT+UbeuNd85bp6Uu0rGLbljP0PEXLvfEl9VpuUZ9gxbzY9qAtowJTJkLuYs0l6hk3yF/ohrpbpAuYQ1SKOUflsuIs0lozWBzNJ5HhUs/A+bPY+eMSC5/cgl1TvqJd3FljLaNZkmQDA4OmgT2O3xkmjZwKJS2Lod/Om9C0b1/7CeZOmQ8jPvsT5k5ZANXLUQdvwafPfAuvzngU8gpy4MA2p4dbv3FyzHWt/AHuK2+sfJIZkUOCi1+UTECRYmUVx6PJIQPpk5WLA1o/kNQCtcjCVSJG0gbhYqEiyXl2GvKRIEtyXICRZCTPdpI0ybkWJu2pSLKDxe08dwsE6aOVJtmyIOVGIeZmaCBS7QgNszoK6lvGTQAW4sKocca2IB3BynwRSGfQLxldMmT1EGycUVecUWWimcwieAyULEVW7KOEPk/7LM4XJdnxV9/w994GvQCYpMdJFiX04TQp18GkvLm8cUf3qrJ8qF6mAyBHXXUQtOoomMR1b14CP70/Ag67ePBKr1UDA4PmB0OSDQwM1hqKSgvhyhfP977PHD8Hhhz7UIPIAhIltPt6+srXYORXo8nWK8MiIJpMsWp6/G8qqsgr7dGnJstKhuFP5uMRYyk5YNpkxTr9kWSl1xVEGbXIGEW2qcS0QwNKJzCaTLpk0iNjxDghZBeSKOfbCSLJIpKcFrIJQLKM7hYi8U7FX6kkNZFkUW0vBfgbNpFk28mAjdvA5qNIsQuQjuD8EchEhBtG2slAmspiI1lG5wjhDEL7gmRXleHmZDioZKG/KXmG9EDGaRkktOQz54vWa6IcTLBklffwJQcjUMopQ0WaAsl9SaywF8C2+20FX78kkj9jOVH4a9h4ePOuD+HEm4+gl7RtBw/4ZxetgYFBs4EhyQx+k3MnvAuJFxDhrgmBbiaHZeO6xSyNlpt7F/K68/oPtW2ZawL7CZsZKKTasO4IVrDDzdHr6dlpkTfeKle7UvQt0umvXePazHyzEi0xmJ1q6Y1/tKifN16f0du2S+tJ3ng1kyFs03OaN/7N4t7e+PjpHfThqmDZrpjYpKYzKUVdKz2eq3uufA4YsWrdKEalZRgiU8JcNeYvCzc1Z9m7domWatA2se4lLp/gXUVZu4eakBH6uoQf3xsOC6YtgigWiEjxLjl9nL974ydwZNd/A39cz0s3zDdZ6QAC05SMmWtmEUESyCLKPv9kStLTBFkUxhCE0tMjY8IeFgSJ4CCt3NDdgryQZfEQW0gv8iwkyEJukWslIc9KQ66FmmQkykh8XYiAKNihrjJFfjOyqHTaAki6DkRdm+Yl22GZ0yaGCHkpk58y2sRhqWrHJtu4KA0ZiNgR0jxjkZAMHW9B+slNw9tXndTItdsoAlG1HLzf9FxJZGKlFaYNl/ILlXzJ7yklmfDOm07Ss0gOIsZ79u8Ki2fo5x4ityDuHST03f7x3RHgZBx47c4PoMvGHaHXVrqL3GAFz69GPMt8z0Texc6i/z63qOgK5Bl8vlxWhIs9t+vbFoRKCPiLG5cZcFeodKET2oZ26qzbxPqUboA7F+gEz8VMGtE6qqV9WxbP9MZ3K9ASng1ytNNFlaPbpr55Os/i46W6nd2q4yxv/IfxPb3xdu31NiyYrtvolFZQQlwrOMBhRVW4lDGVr6fHqllPTT2TXhQw3lKkx+2Fy0OfzU653yHKx48SjE/lsYou7BpxeNvchNpN425hYGCw1jHxtylw06H3wJOXvQgbbtGdpqFmtLhloY/cYiQwCKE99T+wve88oU9FIYOJfGHjgSiyllyoxD5NDj0ZhmyIvAizJMsUSSaijAl0riwOIqLIOAhdclLYviFZtpAso9xCEGQiyjTdgVzLBUxfQMenXAsgX35647YLOZYL+TQvWxd9oqwDI9NIwpNE0HNtTAxkBUsoiiwS/ajgCBFfWUVERdGV1jggQ2kgS+F/U8ffi9yH6ZWD2uWAfZ+vxDhrnPGFyrKg34694ecPRhLJi6AFpLwsPn7iK2+8TeeWsNeJu0CbLq1g3pR5cO42V1F5agMDA4MwGJJsYGCw1lHQogBs6W19wFl7kkcyRh4rqViIikfKaGQ2mzBE0DeZdcX7JjcgbFzLrCJROrIcJIO+CHRQfkEEmkktqPwzkk78FH7HSEZRPoHSCZReYGIeao/jclDfSWpBBBnJL9CAhDjHsuRgy8GCOH0XBJrms5FQ63UjIcZP4b0sCpWgzjkGcpsslyQgmBCIBBmdOJAgk/+xp7FmZDmoSw5olX0BfU5+g+csYEjiP69ZziOrtBjBFyfXhdE/iFLU8dwYDDxoKz0fAOx8+LZwweOnQZuureCPb/6GY689hGwGEeWLdMlgAwMDg+Yjt2iE4blP9+hzvWCRClZTPlthEavAb5ZuV7PMTh79YtnamYJYqLtFlGXjRrFFlKhrDaESBW4wbpWEF7WoTmk5RBVzUZ+SaOuN39JG2iYBwEhuBM+kHZ1jS73x95ZrLV/fgrne+PgaLatAX1a9cXo9Tp4+H9FKfdxr2+nZ81mvaSTJDeT19HSeXtZO6nVGKnSiDnCTeuY04vKCL8GsbHb+7ZzcRhihZ5pkV9G6gOeufQ2+eul76NyrE9m8vXbHB9Bt0y4wccQUOYfSC2MVtYQUvWpnhAa2YWoRXoqapoVolUOWE+rdwLoYIfZkF4wU+nyUvb8J2QBKLQRBxmgtShFciJItmyTLGMm1kLAK0qxILBJY+g4u4FMHiW/UsiBiYY08jKpaXpSDLNzAhYzrQlpW0xP/oxWbA46TgQykIG3ZkohjgRFBjlH6gQ4YIpIco2i3LbdXBN4p/U4k26lKd4EounfsAixXlPhmbhbMVUS8hwSixUGWrDL+5KB7DbQcw0FturSE22iL7lDWrgWM+0VLwXDmLpt0gi69OsCYH4WbxX2nPwVHX3MotOpQCnufslvD66A5ozHuFlnmz+ZKYHO3INat7qaYM1OMdc8HwOWLNpPV2SW6XYuwLv2KbtFQpwtW0wOitfo+T7NmnRfGyi3Q27c8qdv4wphuO+qZJhLvY4WPq7R8Ymadlkb0KdRt5cR67Ra1aZGe/sHczbzxXt114ZKJM/X89MIqkWzNZIfVzDWLGTvlVOr549VMVsEKb7nMycvmEpn6VLhbFJM7+uQVtLIsEsRsEov/gtUocVy/SbKBgUGTx6u3v0ufVkRo3WZPkI2FBbBB/24w7a/ZDRdymXSCvis9ayBCrCKQ9DIcZHByZqWvZQTOS9qT371CI2oeJn/24txSrytIoYokO1L1IYiyRUl3Yhwjt0SUKZqMgyg/HfMGJM0uYDFOlFXGLIuS8SJEji2wWcNAxe5cUapauV6IotM43YWM5UDadSElyTclDuLvIUnPCPkHkuOIlYaIhWWrUWqB25sRtpdcRiG/NpBVILhFXtghD1WMsziyFzlmx54cNkRVPXLGUIsFNekAMOnP6ZI8+yU4uA9V5TXCGk4SudyCXNh6382htrIOSlplJ2gGBgbNF2tEbvHoo49Ct27dIDc3F7bZZhsYMWLEmvhZAwODJgws6HDvqY9DWXvhe9pj065w/A2HQRyjRjLRa9ponQjjKVJ5db0VQWmS5dIN/patez+gkaVSzXJOL4mP6XJ58pomZzqSTJIFjO6Sx7EiyEiOM9LOjQ9piNG0jPzEeTGCLKPIgFHkCEStCETBhhi5H4txmian47xiwOVk5FoSb/WJ20K/gQSZvovIsRdB5jVaJPn39pG9IDQ8jlYg2hUemddLck0LBM6xP9rs0583SNoMyjnERywnBgtnLoZbj3jAI8iHXzoYxv86AY7tfg4c1uYU8us2MDAwWOOR5DfeeAMuvvhieOKJJ4ggP/DAA7DXXnvBxIkToU2bNrA24HMrYNEYmzlX8AdwVolFDpterLNdGyzPuioyLXS3U6qIuViw3v76lqw+u/ZNh2Qpc4FgBTjSJbr7IpbLasTHtUPD9qVTvfENcxaEulhwicXkpJZh7Jiv3SpGJXR3z1Flv3rjTyzc1Rtvk6NN16tT+hhtt5Fez4xK7Xi+eHSb0CzdTIVu8OK8q6hS72Osip1L1m3E5RMuJh55P5AON0UPyC14QRfghUYa0bXog3G6CAWSnVuPuA+S9SlyGLBtG/oM3AiOve4w2O+MPeCCHa6DhTMWe0yn6yad4MInToUr9r4d0smMjPRaK/oBv0cyjy4rqGm+6LN/HqW71RX5GmqS+frCtMtqU8ktQkoXyKVYkmYkraQDRm2wijTT30WEmCrsARJkjCLbYBNZxs+AeT9dX2gTh0vjMkjCATBGilc9/maE/o6/K+zkiBAD/r6YJj5xe8W4Pmwqyqus9JR8Sifh6ePjvy98kWafNlktH1JchJ8XRZQbd2HRvDm5MUinM2Q7d9ETp8IDZzxFFRwRmNQ36Ogd4fLdb/YWm/LndOi3S5/G/UZzRTbJYpbnqCurGzZwumDtjK9tZa4VBPYMThfpLn5+eaXzI6GODVFW+4K7OtTrmley4qT6okdHz+rojffsoDV/vYu1Q0VnZrc0K6lXekzJSL0e1oZyF4t8S7cnqRy9EV+Ub+qN9ynVbfTUKt1Gt2ytHSSWzGONJUOGmUfEWI0zn7tFgf6SV6vbUAffqiWi7PwBfyHlsgoukUkEpJ78nmXnnLebPrkrg3KraTRWY9u62iPJ9913H5x22mlw0kknwSabbEJkOT8/H5599tnV/dMGBgZNFBgl3nhbUeFx1vi5sGTuMvjw0S9gxthZkJufQ6Q5yipSYiTwpsPvh1R9SlYazv6C0kCjzMoayxkafvdWxyLB8u9eo8wDnVk4G5ch6GmCEJPamYiyjNjSA9jxyCuRZlHiQ5BnqqonuALqkIXznCbIVuA/nIZ/w9+miDN+V8sDyjYU+Ra/qX5PkGHRyCgSr+Ls4r1BffL94hHz4PFhBVjkgVKReO0Jx4+zlMTwHgK+LnYO5RnxEWcVXW7bpZW3Wd036wrnPnQiZNIZuOukx2GPE3byrif02x765i9w1SsXkJxni903hT1O2Dn8hBoYGDRrrFaSnEwmYeTIkbD77rvrH7Rt+v7LL780mD+RSEBlZaVvMDAwaDpYlffonV9dB0/9dY9n6xbPz4HT+10Op/e/DOZPWwjpZFpEGlwHjrn6YPK21VHMgPRCgYLHOsFMTFPC4bCsMPnpi3DKqfR0ZNrkLEv7ZAcBEskUtLoktKyWR2U9JIllq/IUHIqsinH2H1mhNdwo9TdFn71p3m8Ksqv5LvvOFSQy6i2i4NqP2LeRDQ5C+DTvcDKZcPblQw60Is8r6znAF6nZOql4wogp8PhFL3rf7UgUnvnrHthw827QfdPOsOfxO8OWe/aja+qPr/+Gpy9/GdYHmDbUwGAdklssWbIEMpkMtG2rux0Q+H3CBGHXwzFkyBC46aabVt0GNMLRwh/6Z+8M/IHMHQ14tzxvdKu0Awb9qWVJaDdSukh3L+Uu0k4LlRtoGUYkoddbMD/cFL2+O+uyYtms6ZTevjELtVVEu1z9sBy2TJuT79f6L2+8nPXT7JGvu4ferdLzz0lqmYTDupCObD3cG79m7EHeePdS3S01vUJ3Gy2aqLuocsv1fkVYNxmXoPBjwrvYOHKWMOcKZqJu1zGJBcuy5l1AQbhVzB2DS3Ly9PlzeG16JuHxr2j9klisyns0EolA975d4dnxD1Kk+LJBovubZBZSk3zc9YfClnv0g95bbwg9+neFaw+4x7+SbGQ5SJSD869sGq1DBjlpnsAiYfOHzbMCQkn8n00mRwpJWj0prlyTILWNkxwE51Lr4/YTKKewAgFdri9WwVyvPksoG85yICSx9vaDJTlmXQlzv8iKsHPsulBUWgBVS6XES/2o60KiLklBmZbtS2D3Y3eEt+79iKzhsNcCtfCXPHMmLF8o7N+WLdBFGtZlrPI2NAt4G+qTqvHprDiXz0loZbkECqxtjs/X7VeqbVFoMalIHZNn5HLnKD09n7WnNR309EyZfk5v0B5lXgJdC3ThjK9m9vLG7+n3tjf++BwtNZxdX+qNd8jR1oKd4rodLLe0S8bQcr3OYqYReaKTDiLuP2lvb7yiSrfRsSLm8jFJt2vMYCOrpIQXL+OuUNFyVtKdywljjCpW12aXyGQDl7ImU/9IerG20aTcLa666irSLyvgW3Dnzp3X6jYZGBis3nu0Xbc2NOxz6iD49OlvoKisAKrLxYP4g8e+gB/fGwEbbbkBfP3Kj37yy5O12AuuT27RIKLMG2i1HvkREk0OJ4ENOWNQhRC6II+qqhgzY8kUN+Z5bN4gxAqeZGEFwCh6cF5f6pzcdiGqCIfHMxus3L/9/v0NOQb8b0J7weYN0HIVMeYJe1nPmz9Jr7rcH6Dg67BjFtRU1sI7938E37/5q+/FFa+1u76+Hn777E/Y/bidYH2AaUMNDNYhktyqVSuKFi1cqAXvCPzerh0zxJXIycmhwcDAoGliVd6jY36aANcdcAd07tUBznrgJDjznuPguOsOg6O6nOVFkisWVULFoiqY9vdsSX6D4VrhnZs1BuF11atx6bHsW0fIMsGJQWIY9oMBHidIsCCjKjqryCnGcR2ZSUPj9B3dtsW4mN8Cx8JS0ziPJr9EhEk77N8Iz4GD/YfL0fJqO+Qnflc7gd9VXxm5rSkSr/aZlmkgPA7f77DjH5zJJ33RUWff33wReEaKceO8g8lt/ySRDmwLSnbSiRRM+XOGXIVIm7QjNmyz/wDo3rcLDesLTBtqYLAOkeR4PA4DBgyAb775Bg46SHTBO45D388991xY7cgmsWDyCV+XEJ/Os3R5YY0WJeGZndzpApev4em1LIKS0V0t6QJejz683rrD6mBEmDogsoR1J7XS3RexmN4HLC/rbTf7ges6f+SNv7p8O2+8V1z3RY1KFHvj+bbuKmsf192SSzPa0SPJ+nVaFujITpJpJrCKV1gxkWQxK6TCDmPhLH3c6kv1emKsqyhvod53u6o+tICLy7rerJra0PPCDe4bnP+MPvBOXd3K3S2Mo0Wj8MsHv0H18hoY/+tkOH/bq6HjRu3g2XEPwo6Hbgs/vifkO227toalC8ohLaujBRmqFzVmyXkuHnMbU9cYyOVCffLzo5PFSCXgO6U4TUUxVQg2EEENhFy5hEEFSIlkIuGlT+R5tkdaMyJlDzKuJcdBfrfJ25hIqyTJ+N3G+fBeJn6otceKPGcAlxHEGAuLEPEm8i0IOA34+2BB2lXfI+Di70kVtCDSUrUc5LhZ9psdsgbffTHrBrZtPBuSfQ3eWx4p5omC4tyQBt1XkU9OY9vTaaP2MHfyAm86apFL24S7A6zXWEXPJv+zj7WbfKYs0kSLF3fiCBZqqtXPareNlvnZWDxGItkiHiobSJaw9p5tVEorNSDKlAWREt12TFugq3Z16KFlHv3azfPGn5u/oze+WytRoAaxZZ52cMJy8976ZWIsYlS9finbMF9LO8ZVa+eoE2bqno3py/S+d26l5R8zF7YMTS6L8Y4VK1yumSxi7WmVPu6JtrpNjy/Wx99ewuRIrABMtgqaQd7kO/92IzKgs2EttK2rXW6BXT8nnHACbLnllrD11luTBVxNTQ25XRgYGDRPTPt7JrTr0RY2H7QpzBw7mzShcyctgNP7XQYzx8+B9t3bQF1NPWlI06k0fP/2cFmiOiBJkAUm/LDAaiDLYFX6PMgVqQizbxojfKogBV/OlfRUayL8JNtHlC1wHEE+044gy0iK02pwLMjYEUiDDSlXDFgZj/5muWTfJlwvpAuF3ESRW4dpekiikUYjIXaIKKdpEMtiE4jrSuEA+DuCKKfdCKSRHOM4bgMOuK30dxl9lnU8qDFz2HGR5F+adnifdJxENWvP2a3hsWQR30BU33fe1N99xNo7xR6RzsmPQqI6ydZtQWGLfMjLj8PiOSKZb+f/2x46bNAOytqXkt0b2sBdtfetsNNh28GZ957QqGvWwMCg+WG1k+QjjjgCFi9eDNdffz0sWLAA+vfvD59//nmDZD4DA4PmgR/e/RVuPuxeGj/kwv2gW5/O8N5Dn9J3LEuNWDJvOUX/3n0Qp1uwQf+u8OLEB+DlIe/D2/eJeRsNT9OquuQxQozRRknGKOzqYFeH+O4jvS5YjByqYnpqPn+0WpJJ1e0vibGIyAp5hYoSO0GSip8OkuMopN0MEVokyilX2cIJuzjN+9HCDYl/xgtyI1HOYMQZCTKWp3aRHEuCTJFj/D0LUk4UUjgut0VElCMiek3bIQgzkmRBlLV9h9h3f/SXpklS7M3Hjwmf1xHH3nfgVFSSy5S5IwkjyiQpEeF4L4qcqJGRLXnci8oK4fERt0HFkkq4ZvAdEIlFoMMGbWGPY3V07tr9h8Di2Uvhnfs/hlOGHA2xYEldAwMDgzWVuIfSijUir1hBON51uHOFHS6xYBmcvFs9UqYzVp1q3Zdhl2hJghuUWzC3i0wH3V0SrdDShWRrLb2I1nEnDj1a05ZtN5slZ5meqZa5PSRdrUfr2FV3kWDZWYXva3p74+Mr9MvKVgV6P3vEdTfQ5KTWj7eOhlsKvbpgW288xSQWZaxPa8ZS1mVWyLpsloVfhg7rHrKTurWN1TDZRswOzXqOVibCpS+8q4hr91jGLcJlWbu8a7FRBUQMVogJw6d449P/nglnP3gyTPp9Goz9ZRJxI6yQNvjMPeC9hz7znA+mjp4FsyfNh+OvO1SQZFYsREhSFeF1RQWOFWXRh2mSPU2rtXKdMieELGqqCbLlG/BSQg6uSCdGa1OSkOK9krKRtNqQBJtkSzjE3AhEiSA7jCSLHydOj1ZvLsZ8NYElSYaUXKRcfBaoQRBkXG/KjUIKBElOedMikEaCThFl8YnPS8FDbUmSMZKso8e4z77osTqUchrF7nkEOXgqiCyrhXDdMkKujjU+u8POX7DiHiPQLTuWQZ9tesKA3ftCojYBE0ZMhdK2LWDaXzPhtqMehFdnPEbzLVuwHAYduxPMnjiPpD3NiiBn66JuRDd2NmkiH/dJHJlbCXf/4XILa0X6aeZE5ObEQp/5kXousdDtSMECPb22FXMn4koBprCrrWTbFNXLDp/T1RtvV6LbvqJ4IlRi8XtdDz1eqZcti2npQkFUL1uT1vs/qHS8N/7ibN2e1lZoR4tpyzRn4HBK9TbnLLdDi4ngC6pC7jK9806czV+hJRIZ5sRll3OrKc5J2D1ay/Qr5ASVt1KZ4mopyLWKJRlNyt3CwMBg/cf/XXYAWb7NHDcb/vxmDFyy8/Vw4Hn7CpJs27DLEdvDEZcfCB88+gVpR6PxGLTv0QYqFlfCg+fIIkSKK/EHtlepDSOMkjjzBC+PRMsEsEhDowqhKZaRZmZHQdpkRYZ5DgH7roijiqzKAnhC4+tGIONkKFqcQiLq2KTXT9lIVHE8BkkrDSkrAwk3AzE3BjHXgYSUU6AIQiXYYSlpVFxzHaIK5qIeGZs/JMdIlBOuBQnXhnrXhoQbgXo3CgknAgk3CkkccBscHMdt0pFtinYjUWb74BFldRxwf9WxUC8LcmMUP1LHg6LHPp2wKPVt8WlBvTL3R/YVhGH6RkzEQ42548BJNx4OQ1//Ce4/82kqHIKFZ8raCd1xj35dvVLoNxx0FyXuPTn6Hui6cad/fgEbGBg0GxiSbGBgsEZR0qoYrn39Inj0gmdhxpjZUFtVDwefvw8kahLw5j0fwZcvfA+zJsylYg85eXHYfFBfeOjc5+Ca/e+Cso66NwLJkh2xwEEBrTdJJOZl9RT26V11F73+LmkYET9Bjj0SyCKltComv/CmKxKJEg0pt3AzFjhRjCbbkM5EIB1BQhqFVCYNqQgS1RgkrAzE7RjEnAyVqY66GYoUK+8JsWqMEuMgNMpBt3ChPRafKNdIegQ5CvVuDBJuDOqRjOM4EmMixzgdiXtURLUlgVeyCyTK1Aun9on2VRwTK0tUXWi1ZcahT7+M0hVx8Cg1UCZLStGz/xz6qiBKqKhTg+RAMaHbJh1h8p/TPVcLRMee7eHa1y6EjbfZkL6/dc+HIsExnYEZf880JNnAwKCZkeRs4fUshUVsbpLNuo3sfN2t4bKueIs5Wrh19eGG6gjWhRdZzrJ0WTEKXvCCZ5hmcvT2xat0i1DTnqUOsTBSrILVr2ebMH2OztLdoFhXo5pY2UbvJ+sSG1nTzRtvF9VG6FvliYYH8eoy3Q20JKEzYdvn6fmnLddEJpnWx7duESvkkcedRJiUopIbwuvZC5fpeWzeu8caTO4QYtVlKRTiqzWfCDe7x+XZ+XNd/99WCuNo0SicfNtRVPDhi+e+gyt2vxmuee0i+Pz5oVBbWUeSDJUF/eunf9Anfl8+f7m+fy2LSgx7EWOFbMlfXjSTJ/SxaDNN07l73ncfOZbEWUVSGTEWZFmQQeFqIXXJGJHN2JCJYJKelFg4qDuOQCITgbgVhZgdgZgTgxiVpEblMg4y3xBSkiQ7EKNkPBcipEn2q0LIwYKkFfgcQOkGRo+RIEehzolDHZJxJ0af9W6cCHMiI8hyKoPbFIF0xvaGjBMBl8i+2A/xsqBlF4oEK2Lse1HwXhw8Lzx2PrgMI8B4eWlqfu6C8yiNsvxEzfGIz0dDXU3CN/3vYePg6n1vh+fG3w8tO5TBrkcNhL9/GA9l7VrA9gdv08grtRmgMYW3uGSCu/9wKSMDly/6ykpycJlbUPbCl2HyNyeHtbVslmhtJrTgFHexqNdNIuRoowiwl3M5h77e6st1ez2zVs9TWqbllG8u09fRrNrSUGenzYtneeP5tm6bprm6LX58qtbML15UEir/iOTobcss19tWNJ1JSLmpCBsvmpUKL7aV1uu32LidYA0t4zrAZaYLFunp3DUI/8baV5+7hc/1hMkag+4mIfOsjfZ3/SPJBgYG6wTyCvOoIhpKKib/MR1yCnLgzblPwtev/AD3nvqEN19KPqx9ThaqAcXGUz10PXu3oOaYk+igXZhfYiGkGkgIBRkmzZwXJZURVCKC8u8sikyfxFQtsKKKIAsyie4WFEl2LIomJ20bYnYUYlYG6u0MRDNxiFouRKwM2I4gyTJNDVx8GcAkPisNccuBKA6eSZvWACuPZUzEU1rjJEQEKXZiUOvEodaNQR1GlDNRqHeQKEchkYlRg64GlF1kMlJukVH7IAZPVqJeCpj0QhwDER3Wx0hGjblMQ50ffppk5N4DH1eaZXW+PcsNjXmTF8CLN7+jG0i2eH1tAsoXVxFJ3v/MvUiHXNiiAKKcxBkYGBiEwDwlDAwM1hpQe1xTUQO9t+4JrWSC614n7AI7HbYtzJuyAM7d9mrIYGjUsiASsUmDTN9ZtNgjz0zHKkhvQNvKI5hiQc8hAeUZRIgp24zJB3yDSspjBFFFkaUGWRFINJ0gIo8kE6M2SDoxQmtHIBVxKHobdRyIOFGIZDB6nIFIBsmxkFEIeozfEkSQyRLORrcLQZJJbmHpunp4JJAcC5KMSYAiKQ9/h6QWRJJzoIYiymIgopzBv0Xo7xjVRgKfoigybi/uG0ottBaZnD4UQUZjDRY15tH1BhIUae9GxB7X60X25XHlQUFPVqEyEsUKPO/jsMQ9KVUuaV0M3ft2htqKOpg3ZT5ULa+GwtIC6L6prjrXonUz9Ec2MDD4V2ieJDlLON6Xacm6CngGrhVncok0L5IeiF7x7qgoH+eZueHdC2lWaz5ax6QINcwMXPd4APMsByjQ6yxrpVNbh8/TmbatCvX0Fjm6G2VufQtv/OZlg73xrVrqriKOngW6q+XLBdoxo7pG6yRYci24MdaVU6EvvUhC71eE9dBkcsOPSc5y3iWUDj3OwI3MORJsOj8vwa6etBWe1c0Ly3A3FF6MxMgtGo32PdrCqXccC7cf/QCM/XkiXPny+RDPiUFeQS752gq9sSBC5z9yKjx/41tQvqhKul7IlVAFOqZCDqvY5kWTWQSZB5TxlHlWyYoMC92Fz/ItED31RVZZdBXJJD1PMkgqbaroISQXNqTSEYjaDiTtqIgKI+nFKDJqrKmSnigC4kKSPI3TVhJSlg1xiEIUMhCj+bGwiEp/o72RBUSQSIsEPKE3xiQ9JMgoqxDkuCaTA3WZONRmkCjHIJHGAckxDlHIZGQkOYN6ZEH0LRxoXEfUvWPg7bN+MfGi6yqrnoyXFQFmVfPkcQ06VXhQEeMQpwvuQKPOb8WSahj13VjPsASBBWtQwrN03jJ44YY3YIvd+0HPLbpDxZIq2Grv/iE+280cvi5wPdn3HOTSCzbd5xDFJGy+AhLsWZlh3fiRNq2ybpK9rEqvq1g3DC5zQOIuDRlmNuUlh6LUYb6ev6YDm4c9vqkXSKFUP+/zCvT+dC7WzlGo71dYUqclhT2YxHH4cu16URjT+4z3X1jxL0jofenQYZle/6/aacot0vuV0E03xLXy0ccfMrlMxlnOzh/nPUwxYVczKQyXKS7T+27lawcLN+Buwc9/NmSTWGS71tbLYiIGBgYGK8J3r/0I436ZROMHnbcPbLbTJjSOBR+i8YiQW1gWPHj2/8i9gUiNZUFRWQFULauhcS9ZjD7ZyhsUEAn+nfklqMgmPnsjria6AZkByQhwmkrsUyQRNxMdM4hUumCRiwY+5IUDA8pKMukIpC2HyCgRXQs/BTnGuDHxxSilJHrV8SiCbKHjRRpiJMlIe4QaP4VSQVTJw2UESRZyC3KxcFCTjFpkoUNGglyXiUFdGmUXOI6SiyjlDyBRRrkFEmRQg48oy0iw2l/vmLDouzpGlKinip6oA++PHvu0x15NbK82tn65oXMoGsVeW/aArr3awRcvDNPnUfomUwzeEcex384bU6GaaE4U7jrxUaguryGN8g/viGqOiCtfOh8GHaOrpxkYGBhwGJJsYGCwVjHw4K3h82e/pWpoPQfoiMviOctgowE9YOzPk+m7w4pOdO7ZDtIZR5DkoFUYq7zm0yBnG3C9FPpkXfhI7mxdltqLjBLp08RYRZO9qLIkyhRxJamFjCbjgETZdqm6XiqNJDdKXrKikp6AUho76IBBnsoom4hCwkoJ9wtK7IsRwcY5cVkVRcbNzoAoUiIq9wlfZIx0kS45I7TJQmYhosiKICfSUUhiJDmNchapRabtxiibjCLT/rGXghUMXlIjcw/h0WVV0EUd/wYlxEMjyXguHJj4+zSYOGJKw/ON3tE2ar9FdGr00LGyZDXA4llLfZILvXrT62NgYJAdzZIkN3CiCAvfR3PCjdNZPXmfEXqwe593T3AZAJ9lmV5XTXetn8gtZ7XUS/SyBfOZQXo73u3AVlqj518e0V0/hcW6i2dJtXalqEvpfqmWeTpjt5iZpc+s1W4VI+d2Dv3ddEr/bpsy3TW2cIneL2xsFWJVevvzF0AoWo5l2bhR1q0WY5m5MptdrJ+dP36OeXcSK/ri1rDa9AUBk3aeTc0ze9k1YiQWqwade3WE5yc97H1HD+XPnv0Oxv0yEcb+LCLMxIEiWNhCnMvZkxasOGueJBgYddZOGGo9DZP3pGBBETpVjU+RPEUQle44C0FWvshIlJGsoVSErnlLR5NxHIOzSdo2Ia3wbZpMvtNkNwJx9E22opDjZCBiY9KelFsEbn0K8JLHsYgkC02y0CUT0UZ9stQh05BWBDkGyUyUZCCZTBSctA2uiiKnRSSZyH9wCEotHH/inq7EJ63fZGTZI86yAp86X96nSs7jmmQuzwicZ/65Qb+usGxBBSyZu8x3cFp2LIULHjsNXr7lLejapzPscPA2ULm0Crbbf8vGXKLNC9kKcvFubwY+nY9zhyjIIk30PXcD7ghQw7rvWRscn6f1BOlWhaGuUCnmbpG7XC9b2U1Pz9GqAcjksOJcHdmznLlbWIW6rRk3X8sepuW01NuTYduQ0b/Vp+V8vcpkfqgTVF2CaURy9TbMXaAdM9z2+jhGWFvvc+pgCoYMk6NwcIeQaE06tD11WAEXWzfpAIXsnPG2MXD+fO4m2ZwruCyVz9MYl7I1hGZJkg0MDJom6mrq4bZjHoLxv0yC3ALxEoqFIdLJjJA+hFXCU4l6vumM5HJ3i6CzBRJiJIGWAy5pJYRbhiJzFA22A5HSjIwykwzDpYgr8goxXdgzWt4gl8dPIsoWOClsTCJElFlo1ctxQxs39ChORWxywcixHYjZ6KWcpmQ/mzTJik7LioP4TVb0I3KNJFs5VqA+WTpYYIIekWNytYhCMqU+MWkvSlFkF4kxDVJigRFlHKeIcojMgh8X4UPHXh6UF7Ikz04wgq/OFyNPKjKsxun8Mi/loFSDAh8Y+XagsEUh3Df0Jrj/jCfhm5d/IGnO/mfvCec9dDLNN+Sza1fdxWpgYLDew5BkAwODJoHxwyfDJbveBKmEiEalU2lo1akMlszBxBUdbj30on3ho6e+gWSdjFr5yJWC0r9K+zAlx1Dzh3knS5cLJb+gqDFGez0XBn9iHifOWPXdZZ8kU7CRfLuSOOO4LStVI7G2IWNhiWhVUhuJIJaCRoKMBUewdHSSkvuSRJLTgKl7MTtDpaptW7lgiCPjyS1wHSCr+qmy10SUIxQtRkkFkWK0oSMdckRGkCOQSUWIIFMUOW2LKDiS5LRF0SlFhG1GlHG6LW3ybBVF9iLKfoKszpNHnMMixzxSFOZfnSWarCYvnLUYbj/6Qfj5g990r8P4uTBn0jzotBHL1DIwMDBoBJo9SfZ1mWcxObdZrflspti8sAiBrddKsyIaEdY9VKTXm7dAdy2lSpibRqHuwqhto8dzF4cbpBdN1dtUxyQZVdhl7G233oe6et2lUsO6e7BxV6hcVhBqup7bTdeyTy7WWa4LeKptnd6evPl6nPmp+4qGRFiPXl1rfXkWzgocXwmXdQmBwzJ2OWFKJkIlFj6v1aAROi8gw89zli7HtZF1u75hwogpHkFGYPQYtaQiM17RQSBNarI2qW3dgk4W9CnLU6OcAc+tImNqGaVD9iQVyu5Cla6WEgr6lNFmpsXF+W0ZRUbCipFfmj8tFCBoaOGRaXwU4CaQiNgCSEVkDBiB17jwW9aR4DT5KaccC2LoghFJQxQLjlCiH7ph4GowRU+afMgqewiUWoiCIlgGW9jBkWsFkWRJmJEYYwGRtK0JsowgUxQ5pQkyOucQIaaosooUM/s3RZxVMh+3h0NHC2afp63fODkOdA6oCHMD8sxehBxH28ExzTNiwfTFUF9Vp0tWOy6MGjoWTtr4Irj+rYthx0NMAZGVojHPryzPOzuHWxKlQ7vSs7qJpALPVi6ZY9JG7mIUqdbP9hiTEBTwx3+Rnh7TikJIcTUIG4+X6/npmpWosXTbXdBR+zbh/eTNH75n8Pv8LqHTa6r1fjkJRsd4ga25OaHuT7wNzVsS8vKIh62CHXf+/sk21K5nx503iYuZhsPXnqZCeU/QqcKKRsMlq1z+mAWNmWdNIbxUjoGBgcEaxp4n7AwHnrMX7HPqbmBHsj+aCkvwhcyFohb5kFfCGuUgwh60nIT5bMikXIMRNE8eQHpbaWMml6foqSLMkhBSVJU7XSBhJgIppQo4oNQCCShKLzBJLmVDKoXENUbSh7pUDOpTcahNx6EmHYfqVByqk7lQncqBylQuVKVzoTIdh8pUHn2nIY1/z4OKVB5UpXKgOpUL1ckcmhe/V6XiUIPrTMXF+tHyLSncLNI4IGmXUWQeQbaV3AI/MVIsybAnt1DfueQiLY6VKDuttMr6WDdI1vPJL7LYvdGLS0CnzP5GLiLS7zqTysDFT50J0RhWC3ShVccyr8H99rUf4YiOp8Gbd3/QyCvSwMCguaPZR5INDAyaBgqK8+FcqR099IL94OHzn4XR3431/o7uBPudOohI9JQ/pkPnXh3g1M0vh7qqhC4KwotMqOp7YV30LHmPIsX8u9Qzu57LhZRiyMgwRYql/hiXtaV/MEWPhVsdDfjr+CfPsxcjm/Q3pJAitOx60WOLrN8ijkWV7rCoRzqSgajtQhIlFjiQ/ZtLkWu5BurxIfs3CrCKqRlH6JoxiY8q/DmixDR9UsnpCP2GcLFAeQWS9oinO1YSC/qekkQYI8oYGGQEWZBlcVxsqUPWUWStSRbRZkmK8ZNHiYNE2Ts9+uWFzgMVZqHShQ3mEf0M4tzjvI9f/AIUlORD+aJK2OGQreGTp76CVH0Kxv8yEZbNL4c37/kQ/u+yA1fHJWxgYLCeoVmSZF/XT5bsSpc5JbjM8Ju6br150qGm2g26inKZfKKOF6Ng3TT1TPZRrOfPW8yM11lt+0jSDS1QkmRKh0weM1GfpNdZ217vG7Y7CtVl7FjUsmIfRbp7JcPWXz+jODQbN7pYb2esygrt4onwmh5MAcG7t2I1rGY9Oz5OXG9nqlRHEnOWMBd1vmPZzhOb7nAZRtA1gUUks5qcG6xSdN2kE1z72oXw2bPfwss3vw2pZJqihAectSf9feNtetLncdceCg+d/3zDEtUIGS0OKjL03zg5UwRZkjKSYzhgYTIfRZEFuUUySMRX6nGR+NJ3IsiCqKkkPpJCqAQ+cnYRxFYQZPwdJIrCxI0ILhLkqAMZrMRnO5QpH4k4ELUjws3CRts43Cb8FIVENEUEqWkWnslIiPETNcoou0ByjJ9EjjMRIsYkryCCL5P0WAQZv6PUAl8AKGIso+Je9FgRZBlFJ3KsosjyxcOLwvNIsRBOyygy90sO+h3ziLJfUiHOD3OZSUv5hXQuQf0xYvPdN6ViIe8/9Cl977vDxjBl1HQ4+Lx9V9FV2ozBJBbZ5Gi8y5wXE/FJ2Vib5rt3A4WfeKEKK6odIejNVC1eq9frxPT0GPtttFbUsELbo7o2bBPa6jYiWsHaHSaxSCcioZKJNPbMSGQW6XYnUsu2jcknEp0ZN1imj4sTd8O3uS682Fa82gk/DlVsX2pZm5hivCdXb7/FmlM32D56G8qOJzuvtAx3NOHyHE8c1jgutrbRLEmygYFB00EmnYFEXRJeuuktKG1bAodfegCRzRati6nbHP+OhUMGHrQVzJowF7r07ugtu/3gAfDxM9/AtL9m03dfNJn0q1IUK8KumkgHrOCES4WcF4kdseCITgpDb2SlTfZ5AssIKkZfVQRZtleOGpeSauFszJPQpKUd/h+hWCi4WA464tCQiThCxoE6ZNRGM4Ks233RgNKynpJBRqiRHOP68LskyOh/DKySnkeQpZeziBqzZD0ZQfbZvinCnA6JKiv5BX4q6zfP2YJ7JzOHC/aS4sGXsBdwJKGIPHMsYYhR8RnROP/59d8wffRMuPHdy2De1IVwwNl7Qk4es+00MDAwWAkMSTYwMFhr+GvYOLhqn9sgvyiXuscRfQb2hj7b96LxL54fCpm0KBry2pD34PU7P4Aem3WFOZPnw2X/OxPuPOlxSvADFSEKlqgWE1mZaRlxxgiIsiBT3fZkByf8i8knGXsjkPiS9ymul8sHlKwCE/eEjAB/F6O9SEQVWaYoM45Lzi7S7QKxbRf1syLKSmQZo8pYFtp2KMkWtycjCTxFkKV1HDfrENAJgJ6Ug9YlnDOQuNJ+4UZhtJiSCvE4SJJP5FiQZHKwkOSYkvf4ONNg06eKIntEWUaPM1ls35SMxUeWmRcyG7wEPXWogol86vxKKIKsUNAiHwYetPV/uUQNDAyaMdZvkpwlA9fXZc7D/Wy6z0Sddw8x6YQbzMbNktkJlu4XyXRg9enZ5nHj7lglN/TW64nV8PFMaFdLqpB1x7D674kWuiHJWcoMz4tZFu3U3FCphsu6mWzW9ROtYd1Y5P3aUGIR1UnAkLuc+9Pq6THWPeRiEo5EvJJJTVg3UKycOV1wjWKcmbGHaBeD3UYuqy3v6/bDxXnRmGzFZwz+M/74+i9I1iVpwGQ91JK27yH6O5EI99y8O8wcO8ebH8nk1NEzafyz/30H6aS8RrgfMu+ul9Fkl6rnsTLH3HIMLSzI+UISZ2R9RJZFERGyg0MrN1lumXyR6bsoP01EGlCr7IKDVm9SHws8qoz/SJ2yiPq6gsxKBYKF3ca4bsxqR6Js44CkVUTBkTDT7+gaz5Ika8ItdknqqZEIe+uXdhsU4RXTSV9MUXEhp9BOFiKCDDxa7CUgKrmF6/tUMgsiy3g8JFEWyY2SKNO8QlPMk/canK+g1CLoduFdCCICX9quBJZh4RAGT3phAVz4xOmr+Io1CCJrG8q71bNIL3zFJJikIiiNs3j3O3tug6+d1RYVdpK196zICC/UVU8minJ+tnrqVVHbZDH5Ab/8xmunC6er3p7IUj1/plqvP76ctcVt9I9FFul58iczdym2PckSPV40C0KRU6U3Ln9BMvQ4cBcLLrGwalk7yF8+WTEQq4XeCHfpsnDJKS8eQrwpuXIZzjrQtq7fJNnAwKBJo6R1MUSiEejRrysM+fxaiOfGIK8gFx676Hl476HPaJ42XVuRNRzOt3TecvkCa8HoYeOg11YbwNzJC6Cmql7HE9EizLbBUtIKVayDykkHyLRnDYc6YUbKyA5ODXI5ii4L+QNGizFqTJpklZiGkWTpMIdKYyWvIOc36TKHn34yq3k6STkymiSTdJk+kaSjsFlGvIm0B3XWcn1iV3UxFaoWqCoG+scVORaRYak9ZhFkT1Yh9dcikiwJssOJMhJieQykNZ5ytFCkWRFcXtUw6yDn9aLG4ov/wpFfWyJJnier68nABspxZo2fS9Mql/BSYQYGBgb/DMYCzsDAYK3hp/dHkOZ42uiZUFxWSAQ5WZ+E92SyFaKwpADu+vI6QZAxGlSYS+QUZRYlLYvg+Qn3w4Fn7h7+A0Hdq5qmQFENZvvGk80k2cMIKH0SQVR+vyo6KkmiV2RDyhAcRijV9xSTLshxO2XRdIs+ZfJc0gaLDYCJQfiZjJDHsoufSfGpB5sGmpcGG6xExLcetJ/zfidpeeM04Lbw7eKJep7UAo+BIMY0zUvc02TZk6OoY8dKUuuIMJvGX0yCEeWARZ/vnMqBqjIG+HNxy0I4/a5j4dQ7joaBBwupRVC2YWBgYNAYRJujKbrPlYBJMrLVDreZFMKpY1m2vHs/aJDOu5S4+fkC1jXIi5TwbO0S3W3kFNmhEgtepz5azzR5RdyVQY8WztHTmVkHFM7W0+tZ0nCknhUfYe2LyNIXwOiXgp3U05EseNtcxQqXtNLztJjGupzqnfA68tjVrMYDWkNve6qYfKIoP9RFxDc/l1U0MoPW53qSbRlTTORf4eirDoG6qnoYdPSOXpGBWE4MNttpY/hr2AT6fuDZe0JZuxZQVFYIVcuroW2XVjBz3Fy654Z/+ifceOi9MOanSVIkHLgXvcixvMeCVffUOMks2HTy8XVErz1WylPOFzg/SgvQ8k1FiZX2mAqJiGgzFY2OimsYZRUUQZZGGWrc9T6FhRxEhZQD5cMiiowBYXTLkNoBlQSobsgGBQYDiYEoAlEexlJ6oQuABBIQVfKdIr0qokxkX70QMImFJ8WQsoqM/6VCOILoKLL4HVY8hMtduB2cL2FPnq9gZFmdUwA45Lx9oOMG7eDb136CZJ3oNt7x0G3hkPO1g8Urt74DL974BvQftCkl8eGLmMGqQ1ZXgiwSR+4W5FTXZO2u93XF57C2ljtUJJhUgDkgWcwBKWeZbgsyrOBINFevJ52nb6YEawcLZ7PdYZuXZvmf0brwYh/1La3Q6SXj9TbUt2TrYQYSeM8p5DLKkGSGUnFdy4ukWd72t9DHOn9+XbjskLtS5DGZR3l1KCdx65nEkS/LzzeXvgQLtWVtE7NcO02oPV2/SbKBgUGTxuaDNoXr3rwYWnfWrQWS5Xu/uwnmTp4Ps8bPgfLFlfD1y8NIt4wOFLMnosWXII7IleL0kFc6VE2CxVeWsCcrsNHzl5eqpgp7SOpQnoEyDVxWSTBkAhpKHFBNTNZuyhJO1YSWUgWxFOmThWMxehWL6a4aR6KM2yKdHogvSCMNSrbDzZUEmX5esXCpRRY8WImSAwdTkmOR1ydeDGSOnyTHmhiLSLi/1DSElZ4mEiz+pghyRCXpSd2xR6C9pD0lveDRZJmYR+RZkuJgNJnZxPkq6oXkF0SiNgzYY1OY+NtUWDB9oUeQER03bOc7LF++OBQcx4U/vvoLXrzhTTjjnuNX3QVsYGCwXsOQZAMDg7WGp694Gd6650PYYvfN4M4vr/P9rWPP9nD1frfBvCkLIRKLksuFSt7b97RB5FqQm58D1x10t15IES4ZFc4tyoH6mhSzg3MoMBHNi0OGd/ETQZbzoJrYRscJVaxDygMUcZbJehRNlpFjwV2FqwYm8AkXY5xuifQlFxPbhPsEbaOKKmdkNFl+EjGWdnWKMBMkYfZ1WKnxoNGDIseyFL22XpPEVxFzXilPTvdZvfGosYyeey4WMoLsaZcVQeafSovsRZTDvanDJRUyGi2n+fXJAF17d4DhH/9BA+rY+TFp06U1ZDIZGPfzJOjapxOccvvRcNtRD4CTcag3wsDAwKCxMCS5EQbpvumshrxvnkA3vN/+m3VVcGRxZrBrdfdQvE5LQ9KtCvT6IzyLWLecuUv1LxfM0+OJFkyewTchHq5QL5jPusSiTJLBzDkoQ15tJ8uPiaSYk0aF3sd4NZNwUJd0Q4lFtEJHhFxWbMV3rFhmLi8awruKXNaN5/NYZd12vuzbBnXnsxQNydYNZCQW/woTf5tCn5NGTg39u1ANYHU4B6LxKBHkwWfsCec+dBL9/ZHzn4PaStGlGM+PQSohzyMRZZuq8VEBINZFj9OxMAn/LiQZGMVU0gzJJDEejERZ2cWpqDJeslF9HZOEQgWx5SZQ4h6SY1n2gxwt0AWDFQSkqLH4Gf3zLJLsWSvL7lSpomgotZCfnuEFBKLIiuMrwsylFiyqTBFj5f1M5Fdrj5XGWlQZ1BFkihKnwwmyJ7OQhDdMn9zA9i1QTlz5d6ArAhYOQUz7W6f5l7QqgsWzxXMDl33u2tehXbdWpGtv170NvDD5YXhlxmMwZ9J82GznTf7hFWqwMmTrJs/mFsWrStnMLSooWeQOQ77kKSZfBN4e8+JQUeaMgb1EErEK3RZnmNyCawdLpnJZgp4lk6O3L8ZUCdxRijtgcMkE5h2EzVM8ww2VfHDkLdHHt5C1y77iXIlwyaLLpCm+bWOOFsALhQSlagr8nuRtMeNA/Hwh7IB8RoHf341qW9cyDEk2MDBYazj/0VPhg0e/gJ0O2zb07/ueMgj+d9VrNI4JfviAnTFuNkUKrz3gThj51RhvXpRjoH7YpzsOlqm2Aj7FvmQxRZTRLg0Ld8hiHzhOM4lQLhJ1+h1yZXMEGcbvSCpl0RBRR09ZGrqiXYkiQXY9Jwv6VESZJCBycyU59j5VBFnJLTzWuAKSzCLKnBR704KyC48oq+IovOS0jiDj9uuERe2L7Nm9KTkFHiOKICtphbR+8wiz/GR/97ySeWERee62338L2P+0QXDNAXeJFxyGyqVVPuu3Xz76Hdp1F2/zFYsr6Zpp1bElDQYGBgb/BIYkGxgYrDV03aQzEeVs6L11T2Jw0VgUDj5/Xxjx2SjY49gd4f/an0FJfNw0WCT+uZCTF4cE9cAI8iWS31iolriYLMZh8+IiyitZpuRZMnkPS1MTm0RNrwz7yiizp3tOC/Ir8gaFCZyyO0OZBcorSNVsI8mWFfaIjzOyLLeHPgMkWeyj5/SmdtnjlF78RwVguB45+ClJMK2DVw0MkGMRTVZuHXKaq10+iBirxD1JlpVDiIoY66IiPGrMiHFYcRDVO0RRZTHPqO/HQWFJHmRkMpDSLOOx77VlD/jrh/HQd/veRJjxb7PHC2/t/rv1hY+f/AoOOHsvLzHUwMDAoLEwJLkRYX2HdcvbXGLBsjx5YQr6U1lBeN35Au3AALyrKUsN9HSHFqHblLtYdxu5ts7WtpO6salvyQpw1AYslEJq1kfrdCOSLNHjeYuZZGIG2wjW5sRq9Dw1bfTvOuxwxSuZSwQ3/2ASi3Sp3pdoVTI8czmdCe/6yWJs7vIsW9ZQWnl5K69NH+geakrdQM0B/XftCy9OeQTiuXFo2b4UTr/rOHIyoOgh0+jeP+wmqK9OEHEectwj/q47qWMmouyVpQ7xS1a6ZeVyESDEWBZaiye47Yv4O3kko1Y5LfTISpes5bdIiIVfM62eJBWaLCti7CPHQZLMP1UQmZtdBDeNyS28iLJXIlqTYS2/4IRZSSdUkp72PfYs39SgosVpFTGWyXpBPXLwk7ZRJ/C5DpPLyBLjSHprymvhi+eHiX2TAX8xmwMTRkylhM76mgT8b8x98PMHv8ENB99FL0u/fPg7DRtv2xM2GrDBKrsuDbKAF+HKZHHA4N3tvKATd4QKSBt9BUvqmHwxpiUdlrp2UIWRxd3IaaHb5Widnj9VyFwv6pzQ8eqOsVBHKS4v5LKK2taMH7DHUYrJ4qNMyhhhuxVnBba4+1M6nxVGWcLaR3ZM0wW67cudzqwx+EsiL9zCC6QtXhrOb1Kp8OJqzC0qWBjEd575+QucZ7ZAk5ReGJJsYGDQpNG+e1vf9+0P3BL2PmlXKF9WBcsXlMOgo3aAnv27wbUH3gV//SBs43zgemSWNEYfloz4qpctItJKwCfINFm/BT19qVy1JNHkksFfpOSqiAhjFFlSa0cSZKqmJxoLT26By9O4SNjjJNkXQeZEWckuPMu3gNxC7YbUWNNqQiQXYv8ZSVaJe75qeYo8+3XHyr1CySvoMGQ4QWYV9sjVAqczyzfPzUKdG/95a1iGGou3+N0uVFR5q736yetjK3hl5uMweeRUuPmwe6GgRQG07sySKQwMDAwaCUOSDQwM1inMHDeHCopUjJ8DE4dPgd2O2J5KVY/6bpw3TzwvAqmkrPohQS4VniWc/JS2b3IGf3QTox8ymkJcFCvvReV6lL+nF9K0AKKiap+UKxNIg0xlqCUZxu8ksZBkmaLHmiyranoeMfY+hd1dKBixFFxdkl71t4DkQhBlJZ/QhFgXAVHTdRRZeyCL8tN43MTfhLZYFVzxRZBVop7SIXM3izC5hZJh8POgCLG3jw2dMLD4jPjUEa42nVvR8PrcpyAnPwfyi3SvkYGBgUFjYUgyR5bCInY83BGBO1o0yMiuYumv2VwwWLcFN0XnGbvRct0t4rKiJi42yGqeWlaIhHXflEzW21DdRXczcdgpvWwqPxoqseCtc7yaFTSJ6+lplilcNl5LF0S0TW00c8xgZu+ZYra/y3Wfky0bPwKXs2TCt81NhHex+buKmKMFP/6BLh3eVWjQtIB2XvOnLfK+v3DjW9CqYxl069sZZowR7v+dNmoP0//GcdQ/BBL5lORCRoTddAYszJjnxUaU7EKRO6K6eF24YCHBJYKHpFlpmDFxT9rIYXSaCuFI0ox8EPXKjkUSC2SZSDCJGFMSH9MjK9lFMHosI9VcpuSBSSt8s3uDjCJjhFjOp5P5ZLTYI8mC2IuCI7K0tBPmXME+kSB7pJgTZEZ6sSvcJ7fQ0WQRLVZEWr+s+Krk2RbEYhakWNez2mGU4gw8cEs47JLBDQ5NadtwuZpBAKuje5tLL6QryYqkF3YukyLShPCCwP7u/iwFvbjcjq3HYm5RUTZ/EZP2JVrpF6p0nl62xSTdFtd00LLATMwKlRcWzmdyjnwm81sWXgSEt4855Vmkiayt58W2eDtrZVi7lg1MpgI++QqjhOzcWFzWws8fL+bCz0VQguq7pvyyjFA0IVmjIckGBgbrDNKpNESkBVTfgb2oXRn780SYVTkXOvTURSSmK4swrlGQiWBIqEZ+NxYStdI/mRNPlcQniSIVGfHkGLqiHxFmbD+VRzL+Xb64ok7WRiKdckTEOCIt4mzllSyi2ESOlf0bam+V7CIkiszhI8o8ac/bX9cfOVbTZfTYS95TMgwvoU8W/sD2mZFnTYr5dxFJ1qW8paxC6ZOlw4VHjOkYhdi9BZP2fNX3pNuF60Jxq0KIx6OweM5ST2aC+xXLjUGiJgmzJsyDVh1YqTQDAwODVYDwVzUDAwODJghMypozcS4RqDmT5oLFek7mT12oo5NeFMSFy58+HfILZeTHdUmakahO+BPGsIcnGOXkOlrZ7S9IotDVckszQS4FYcSkNp9vMI5jQhs6QdAgxkm6gKWdky5YKRdsNeB3mk8kAnnT5fKYKOQNap1yHvweSWFVPDGQt3FSrDO4Lm97Ug5EUo4cl0l6tG0yEU9pkmkc91FNy9A071jIv2k7N5W0l9E65ODxDfNLlomWivBHYhHYeKsemiBjT1dBLs2akJ7yy+YvX3MXoYGBQbOBiSRzZKk1z90tfJIMJx1uih6UZbCa5m4dc7rI191LVhnrFuTdScz0mxfLyDDPz5z5uoh7pjhcexdl3ZSxSr1+h9WybzlWd7tEmJtEupAXLtHIWaLXU9+GOWwk9LL1rfX25M3R22ml9TGxZTEIsQDvonHDDeS5NIWBZ9r6HC2ydNUFC4j4Z8xicm6wVtFjs66QW5AL9bX1UL6oEsoX60Q9r+S08GWjSmw7HboNDDxoK7j3zGc8QrxgxmIvGuxFjkk3LKOqvulKpsGmKR0zksaoDS4RQEwAFM8QNPBXm6GiuT6prdIFS7s3oVWWJhkqgow+ympjVCC8MZpk8EssGmqSlYRCzuM5XkhLNWbXJooP6FLTWmLBosas3LSKODfwPuYE2NMYBxIh1TFX8gsJLDmerKmH4Z+OovnzCnPhzLuPhblT5sNb937svQztcsT2/+3Cau5YHd3b7LmZvbBEOvvzOEsbytsFKxUPby94G5qXGyonsJZUeONOqxJvPHeubqecgpzQdjBeqbc7xopkcfBc3hhzq7BVwaOAbJL3GEXqmFMT3y82bjPpiJVk7V01c2rivIS7QnHZIS+8lQ0uk0pmcSTh01fUvgalqU0dpvU3MDBYZ9Bpow7w5vyn4MSbj/Q9vFGT3HfH3pBPL4kudN24I9z+8RXQb+dNoHxRhUzYkyuhBD4XovEIySLwk4CeykToJGFTZE9FQWUEWSWkUeOFRFnN6xXRkNFVT6+ro7EYnRVRXFmlLsOixCkW3Q0bWLQ5wqLOFF2WA34X4yxqLNevo8X+7bAzOO5QRBnHVdQbt1tU2VPTMix6zAiyklb4CDIvHBIis5CylGBpau5mscvh20B+viBBePqwBHlRaQG0aFMMpw45Bu74/BrvBWLW+Ll+1wsDAwODVQATSTYwMFinkFeYB0dddTD8+O5wmPLndOi3Sx/Ybv8tKapx6pCj4e6THoO66jq4fM/bqJx1JGpDLC8O6YS2gsMEvFR9iryTnXRSVuPDv2BSnihZrZ0wgLlgIEGUG4KJexGMJGO0B6PMMvuOEgMlKcd1oCAZ/yYHJM/kaIHrQd9kKlKiPlk4GOeRoyqcwWMwVmjUSkaKeTKfiix7Hso6IY9Hl2keMgRROmtu8aYlEVpmIjXJQbkERpCC07jMgpPpBi4WetrvX/0N1bKaXjQeoxebRbMWw3PXvUHnGxM1sT8AKffIL0fDX9+PI19tAwMDg1UFQ5KzwFdTnMGX2cndLQLd+zYvGsLXy50ZeGYrd8PgWaI885TJCSIVWqLgMNcLi7lV8H6C/JmsC0lGZ2gWNn+EyR54NxNfZ4R1FfEumNyFdaHdRtHadKhcBMqKw7vVOFjdeR+Ki/RvLVkWPj8rLMLdMHxG5rz/Olh8gmVjN6VMWwMB27bh4V9vh4olVbBo1hI4f/trafpuR+8A81CbrGDZRJQLcqKU4OWDTBzzyDCRWulwoabhPa7uebyOcDoSYOV+gVFWJMryEqEKfbZNZBMjpaIIoCDPSnah6pNQIREk2mT7hlUBRYTVSyZEbbO6l+Q4Lxgifen0FyWZCFrCqekOH1fEVXFylcAnpRYyms6naccKJq8IkuBs0WPlh8yq6fmS9AJRZLV7hSX5UFVeQyXH1fT2PdrQZ2mbEjjr/hPgiUtegILiPOjUq8N/vKoMVinYc9Ph7WOW52mwDeVtLXdO4FJGp0K8RAWf/3ZrVoKcywCyOEpZvMJHFklDvJIV8MrTbW4mPxbanmZyo6HTuQNVnEslmU1hZJner3RbLQWxmQzSh8rqUHcsYM5OPlco3j5yFxHWdjtVehtsVnjLf15XIJ3I1m6uY+2pIckGBgbrJLBUNVbhQwIVy4lBKpGC4lZFokgHtxOzLKhcUi1ekBRL5dpjXwU+WkjbwSnLONWQqO8UsbVFw4xEGd0plOUblbK2wKLye1KdjFplIsIyoky+cPITo8v4mZGRYzIiFhFS30sdsWw1HggrywiymM1flINHitWsFCGW4+oFwSslrWzvFKlGsozzSms3WmcYGfYl5MmGkMtWvE11GlQ8JILsKxIikveqltfo0yIxTTmXAMDB5+0De524C0RjEbKCMzAwMGjymuQZM2bAKaecAt27d4e8vDzYYIMN4IYbboBktoihgYGBwb9E+x5t4YVJD8KN714K7z/0GThpB/Y+eVf5V3+kMgd7UWQBDG96sKvfcyDj2lqmS/bmQ+kFumJInbLS5kq9rtYq6+9KoyzKOstP1Pum1HflKOGA7SjtMNMMo6ZYOWYwjbPNtMWen7H6jvOqZZW7hvpdb8h420f77Ntmob1W+0hl4b19VZ/SHUR9R3AvZHU8s/kh83Mg56suFwlFmKiZX4TRMRdy8+Ow1/E7+84/FgoxBNnAwGCdiSRPmDCBkiiefPJJ2HDDDWHMmDFw2mmnQU1NDdxzzz2wLiNrxmZAnuFzt/CZcrNDzruXeHc/7x7ySQj4PHr9NlsPr01v1WfCDdVZJmykQmfCuvm6m8aW1ko0XqO3x2WNkS0bMTGdOWCw34osqQzNtLUWLw8vtpLDGjuWdcuNyS2e6cw9ZHlXGpfFZMnG9TmVZJHXGKwbaN2pJSTqkmBHbHAyDnz+v28pia+2qp4IV2FZEbTp0hI6bdgOfnjvN2WBIRYmGUBGdO+qqDFpgzPg2hEtx2AV+EhCQXpjVR5PRJ4tqaUgL2T6X0xHboj6Z4wGuxRBxskqqqwiy9KD2Yucsui2+hn5F5/swmP1+rtXeU9pkr1pzK9YSTC8+aScQh4TJaug+Xx2bUpywRLvskWV1bqCnslyms8n2ZO8SB9pJOeoOKuqgyOvOAA22nIDuOnQe6l4zFZ794deW224yq8jg9UDLp3IZtMSbFt931l7GmFSRi5f9P0Gc3hwmbTAKmKyCt4mLikPne6WsPa0ti503LW1M5Vdx9qaetZOsaY7WhvODWzuUMF4QoTJxLjblZvD189+oJa5W/C2kkkvnBpW8CuL3IJLLBzOSVi7adlOdm60OgrUrC8kee+996ZBoUePHjBx4kR4/PHH13mSbGBg0DTRqWd7ePLPu+D5G96En94bATUVddCuexsYsMemcMFjp8HCmUvg+I0uEDNLXurZuyGR9ZWtljMhkUM9McmK5d989nA4DwqQUassSTbqjCX5JbJMcgpBpAUH1JIL0iTTT0myrKqDyCTChtVCGLj0wpumi4Oo7/6/qUQ5Lr+Q0z3pBSfNgcQ6jwzziDojwpxk8+hxGJFm2+WP4AvyXdAiH2qWC61lfW0SbNaAp5jNpIGBgcE6r0muqKiAsrIVV0RKJBI0KFRWsiikgYHBWkdTv0e79ekMg0/fnUgyYsH0RfDDOyPgvEdOpUjyVnv3g98+Hy3JMIV3fTpkoRtm+mNJCIkoKzKoKvIhlHaZkvhkpJmWE6SXtMoq6uxIskzl9yThU4SZ1ivJuseRAyVr+XcfmdfzeHNwDXLgu44Wy78F5A/efgbdJ4Rmgk0LzOOLHHuMt2EE2SPQAa0ynx9L/5aLaJcdteH/LtkfWnYohZvevZSq7PXdoffKL4ZmiKZ+fxoYrGtYIyR5ypQp8PDDD680ijxkyBC46aaboEkjW7dBsOAE1zyybggut/C5Y7AiI9mcMXhii7tcdw9ZLUvDC3PwBoh3zfBd4A2v7N6kyTyJhndpcYeKfN0dYzFJhq/YB+8C4xIU3sXDf6u8MlRq4pNYsMIi/LjxjN1sBWAsmx1/I7H4x1gX7tHP/vcNXfvx/BxK6rOlxAYdMW778ArYK/cYFjUWnmvkUOHxOEkWvcQ9JLDooYwRZZW4F7iG8d6h7yrhT0grPAmGdLDwCDSwhD0ps8DplKyH6+NRZaYM8aWwqek+omlljx7z6LIvkU9bvvmlD4rc8ghwCIFWlm9s3aIgCF+HlLXI31IFQzDijkl36H9cV1kHtUz+hcVgknUJks/MGDubvLC3P3Crf31dNAc01fszq1sUK9rFu+7lhPB1sWe7xZwcsskzfMjiFuXW14eu0yfD4G0ZlxRWs3VySUaMSRC5iwuTNVqsR8SqqA5vc6tqwouh8H1hUgo3wfadjXPZIXfWylpUi093w2UVPolL8Hw1hiutAzKMf5S4d+WVV1IjsaIB9cgcc+fOJenF4YcfTrrkFeGqq66iiLMaZs+e/e/2ysDAYLVgXbhHx/yIzyAXOvVsC9e8egE8/Ott8P0bP8Mlu94Iz177Gmy5x2YQ5RUckZpiMlrQriydFg0CSyZzw+QFPKnPK6yR0Ul9qnS1KizCi49gQpxKEERdtJcsJ8d5Qh2uzytO4k8E1IOaHwt/iKQ8+g1ZPpqqbjVYRk73bb/aLz4tyz57hxH11jIRTyXoMR0zRY4dh/iFbbsw+LTd4NnRd8Hr0x6GIy8Z7CPIuAwS5GhOlLTJL9z45hq9htZVrAv3p4HBehtJvuSSS+DEE09c4TyoP1aYN28e7LrrrrD99tvDU089tdL15+Tk0GBgYNA0sS7co1e+dB588/IPsP9Ze0LXPp2pUtu5214DFYsr4W8i0CICgoQuEsNEPyYpUHIJCa90tYoAo9ICfZBltNSLNqtBJf3JSLEnU1DexxSJ1kl8NKeSY4hv8oe5HllatHkWdswCLmgJxyQXoqKd2gdVWjsgjWigCebENmReFUUKRJy15Z6SZYREpeX3TEqs4+MnvoYvn/8ezrrnWHj0ohcCZ9GF1p3KYMMtesDP7/8GtVV1sF/BMXDxU2fCoGN2/EfXQ3PCunB/GhistyS5devWNDQGGEFGgjxgwAB47rnnqKtzvUag28BJ1Id2L2SqdZeKnZ8f2r3iyzzlXTa88WZdRcDm94G7SQQbRe/HmMSCSx34+rkJOXfb4DXfebdLoc4IhorK0G4gi9eUz3JtuKw7ydclxLOVeeEVPh4wpg+VYRisl9h8t02p8tplg26Cv4aNg4uePAP2OG4nePfBT8DBiC7qfjMZiMRjcMzVB8Ob93wEyXrhjJFxORFlyXwKSqOsuGIkwpQQjODiQBIMmSGo1qFIOF7Pcj5SIStSrNbGSbOqEqgKlsjtovGApJeTUV++X9BBwntead21fx0NiXBY0h0dH0WuFcEO/K7QHkvyHNieZH0KHjz3WSgqLYSqZdU0XzQeha332hyue+sSksosX1gOR3Y8nRYZ+sZPMGDPzeCina6HRG0C7v3uJrIANFj30dAdgbdZ7PpkEg3eRvici3h7lO036sILY/lkjbzN4q4arO2zeMEO3rPC227WnlrLWQEUvixH8Jmj4Ctgppe1sklT+Pr5MXSy8DE+j2+dGT2ZH38uo8myDes6VsteIUHeZZddoEuXLqRDXrx4MSxYsIAGAwMDg9UNJL1IkDHC+fuXo+GMu4+DzxOvwe7H7ggFJaKx2/+MQTD9rxlQX11H0eR0MgM7H7IVtO3WyienQJKHjauXaCbLOXt65TDrM57c5skUuCSDeQpzn2EuY1DLkNTCL43wxrn8gXk2+9aBL5W+31MSEjnubZv+Ld/6ghILFT2W8xHxoOVYRF4u6x2zIEF2AQpa5FGjnJMbI4Ks2th0Mg0/fzSS9OT4QlDWrhTOvPdE2HSnjakc+bhfJsGcifNg8eylMPKrv9b0pWVgYNCMsFoS97766itK1sOhU6dOvr+pCIiBgYHB6kJOXg51zf/2xSg47vrDaRoSriuePxd++3wUXHfQXfDH139DQnqWFrcsJAu5o688GCaOnAr3nfGMXJOODvukFxTpkTZvGBS2ZeSKcvd4zwur5sdLTSvphRegUZINlcQnf1tFlNQ6gi4XDp/ONpmcO1hU3OFlgeU/QVmE+h0+HpBNiHw8pvMIW1YVCMnyd3SrGHzKIDj0gr1h7uT58PD5z8G8qYugffe2sOPBW8Hrd31A8x3V5SzYYvdN4cgrDoSpf82Ao68+FDbZrhfU1yZg16MGQn11AnY6fNuVXwwGBgYGTYkko255Zdrl9R3ZuiR82aC8fjovfsHdIRi464WvQEZerp6puEiPV2lph5uqDt9OLo3gEgtM5FHgSU48ozaLUbnLJBY+KQWXavAuLZYR7Osm4w1sFomFr/ssW5Yu60Ky2bJGerF+Y++Td6MhiN+/Gk262Jlj58BZ958Ak0dOg50O2xa2239L+vuQ4x9uaA/HXvAj0Qg4eH8gMcYIKtm2EVP2yx+UrILLLDhxVWRXFRMh6QMjxI2FR5RDSGmI/KHBp9omFfUN2svxSDCvmOf9LaBPDiPebB1OMg2n3Pp/VEnvxZvehnlTRA/jnV9cDaO+G+vNV1NRCz+8MxxmjJkFsyfMhV8+/B3eXfIcacyvfuXCxh8fgyaLrE4JQVhZ2lPWzvLnue1zXQjkGKj1sOJTXP7nsHaTF9TwSSyYs5Ov3eHtHW8rE+HtoFsdLufwSZq4pIT/Lms3nWzHkUslObhbBZdccslKVgeMzErXuUKsA44WHOuniMTAwMAA26maevj82W9h5rjZPi9lhccvegG+fe0nuOmwe2HyH9NpWkkr+aLpuqSP1X7CgkRmpN6dmiKfNRrKC4QMwSOKQelDWIlrJcHwXCYCsocGpbGZdIJLN4LjOGT7bRyUnILkEkEbN/E7tC/46WREQ+mTlwRKdAd7CRvooLX2+bT+l8OJG18EGw3oTrrjzr06wOwJ80g7HrR567XVBvS56Y4br8pLw8DAwKDpFBMxMDAwWNN46tIX4eMnv4L8ojx4e/H/IBaPwSbbbqTdIGSEGPnbhTtdD1e8eA6M/n48EcNWHUupcMWCGUu8CKsqe43LpJOOiNpwoqy8Xh2MLqtKeywcERZFVsgmrVDSCfHHcKlFNgQjxlwKosblOlAGQc4TQTkGc87wrZP3BgUq7YVHsvTfsPohIhqPwRUvnAu3H/MQXLXP7fDgT7dQwZBJI6fBB49+DgN23wx2O3oHOP2u46BFm5Ls+2lgYGCwGmBI8qpCILMzm8TC123BlnFTWj5hM/kEd7dwmIyBSw5495CvvjyrU+8rxsG3s6Iq1DHD1xXF6937io9wx4ksXTAc3MGDy0W40wX7XQ6Ld3uxbjWHFRPhXW/ZunSMxKJ5ISdP3CdIdjHZ68Ub34R+u/SFJ0beCY9d+AL0GbgRFJQWwP+ufBVSiRR8/8YvVNiicmk1LJ2/HDbZricsmL6Y+F33fl1g7pQFkFTXunTJIDs35Vah2bBQT1D3q6Wr2MnlfGQyKK1QFf2CsotsUgiOFWiBfZBdrKroB5L5TL289xqQ4pB1y3GftCLst9m9WFhWQJrsquWi2xp3ZYeDt4aJI6Z4s0ZlsYSNBvSAy54925te2rZFw30wWPfhK1KxohnD202flC4nN7zgiE+SkQov7MXbIzbdqa0Nb8eZ9IK3lTaXL/KXSC69YOvxtbncpYrd9z75JS+YlW2buTyDrz/BJJGs7ebHLZsrF6xjBUBWJQxJNjAwWG9xyh3HQE5BLkSiNrx+5/vw43sjaNh6n83hrq+uhXQqA8d0P0fo8iyAdt3bwFb79IdHLngB+u2yCYz+biz5DSOJnD56hmCQZOumyaqu3ucGSlMrMoqRapmURwl6shKfaghVMiD9mdnDiZU33KmwJL4wAs3np0/1wTyRZQTcn1DN1qMa08D+eusNI+kBUt1jsy5QXFYIf347VqwqYoGbdkj20qJ1MWyz3xZwz7c30AsNkmMDAwODpgKjSTYwMFhvgd36r972Drx001uCs0lOOeKzP2H2xHlQXV5DRUYQ6F/xwWNfQCaZgeOvPxR++/QP8vElEon+ypTIoqvjeVA2cTh4vsBKa8zt1ph2l6zT5CB1vkQ+pa5YVafjlepCK90xbbPYBqYlzmjrOlEJD7ePr4sVDlHgGmbuySp/z6e19mVBMWs814VIVFc7uf6Ni+DqV86HTXfsTaWmsbohSllueu9Sefgc+OL5oXD3SY/BxN+nrsarwcDAwOCfwUSSVxVW0AWRrTZ6VtcLLktIhGfa+jJ2uZSCZ9dy9wz+u7yGe5YuJ74et7widD2+dbLiHVw+4evGyibnsMOLrfBuMp51m00y4TM252jGXUXNHflFuZBbkAP1NQmKHh9+6f5wz0mPQbe+naFz7w4QiUSIwI0fPhk+/d+3kKhJwGf/+xb679ZHrkEzayftQE5+XBBndZ/yqLL6lITXq8YXJkegaLO+j11HzOeqaxXHmaebHldQxLahVln8TJjkIbAtwWg11yurVasoc8C1Ip4Xg3u/vBbOG3i9fx3yd9HrGHHgOXtB++5t4JrBQ+DvYeOgVacyWDInAX227wXturWhAi8fPv4lzJ0sHC6+eO476LWlSNQzMFgZfM4MbHo2iaNflhAu1eOSg0hRUfjv8nXy9o63Tey3sskUncpEaLuWzenDN51LVVj769s2Nxo+PYsrSGOkodDM2lNDkg0MDNZbYCGKZ8c/SNHiDTfvTtOeHHWPb55djxxIQ+deHckJ47jrD4N+u/aB1p1awvM3vgk15XVeI5dKpiXRWyajygAde7WDupoELJtfLlYoE+SofDWswNLNZ9mm9MrY6LAKfB4XVgVM5HckByqy7ePDwe9qfuabrBL4ssgzBMEH2GzgxjD6+7GhOuiz7jgGOm7YFgpa5ENNeW0IKZfH9v+2o89J0jmkdccyuO71i6DnFt0hUZeEJy55Uaxabtcex+8csvEGBgYGaweGJBsYGKzXQLKLw8qw/5l70KBw4Dl7w/zpi2Domz9Dtz5dqHRy/103gV2O2B7O3e4amDtlIfHH+76+Dj5/7jt47oa3/eEsSZQRPorMXSbCCoQgGmh9g58ozQiJBoeBR4r5b7OIN8kpfLpjgIkjZUJdSCT8wXP/ByO+GAVHXjYY/nf163KyC6XtWsBjv94GE0ZMIR9kchIBgOtevxCGvvkL7H/mntC9r7Dgi0RdGHjw1vDrRyPpxePAs/eCjbfpmX0/DAwMDNYwDElei/B1bXCDfiYb4F0evmzWLN0uVo7u+sksWx46v68YB8+EZcvyjNqsXVd8PXzbeDcNN07nBUG4UTnvouKOH3w9mPj0b7t7mkGXkMF/RyqZgr9/mEBRTqwE9/Z9H8P3b/1KfyttU0Klrh88+xn46sVh0G/nTWDu5IUk5aipqIHnrn+TqLCNhUaUXIoRUjdAgj2JUZCABsnyyhL0Ap9o44ayEA5FgD0yDAEiz2QiHPWV9R6732CzrjB11Ay1Rvo3UZuAQy/YF1p1LINnrnoVyhdXwv6n7Q4t25fCX9+Pg69eHga7HTkQ9j5pV9hsp01o8O+aBTe8dclKz4tB83SIyvrcboxzEW8TefvFZAnZ1hkpLAyVBfqKlfACXtzFgreb4b/UqEJXvll4bkCWcStLHRYuKWmMNNHnMJKtnbWaVyqbIckGBgYGAPDQ2c+Q3KJL746wYOZiSNalPHLavkdbcsVAYIlkirK6DtRV1cL4XydTwYspf86QhUZU2ersjhM8ctuqQyksUVINh3kvr8DSjSsvFCIRm9w6iAyHuE74pnFSzqPIasU8Yu26MHXUdEq6w+Iqm+20Mfz+xWiYOGIq7Fd4vHgpkOsb+8tESsT78IkvyXMZEyE/eepruOm9y6gYSF4hIxcGBgYGTRzN65XAwMDAIAB0uFi2YDmULxIJqhVLKskrGZkiOjKc+9BJcPWr51OiH6J1x5aQSenICmprN9+1D0TjEc93OK8wx7OAQ/u5Bk4SzJWiYnGF33s4nZYFTuTAnTOUe0ZwGhU3QScOdLaQlfTk+nML4pKzM+cKtQ1EcLVvcoPqeIxc436i/hh7vVKJNFRX1IKT8dP1kV+Ohrfu+QhOue1oaNmhVMi2Mw5cM/gOuHjnG9bMCTUwMDBYRTCR5DWBLN0WWV0vGtPlweQHvm6gLL/rk0awLieeyetblm1bhkkpbJaxm6msCp3uK/bBfss3D5eXZIFPksHnN/IJg1WERbOXwKl9L4ZETT1c99Yl0G+XPjBgz35Q2rYEZo2fC30G9iIHDMRTf95NhTDuOulRmDN5PpHH1p1bwvM3vAEVS3RxAXTAKGtbAnOrhGNDJsnlEt4/3keqPu1zuhB/06SZHDUSKbJ088GyoLRNESxfwNxnQiLIqfoU+RIHp/PPwaftBul0Bj5/bqhvHcLRgnsrAwz/7E/Yeu/+kMlkSGIx9U8lwxAY8/NEuOX9y+Hg8/eBCwdeCxN+m+odawODrAg+1/+LrC6LbM8nS8jSPnJZo3/ZSGjBDpu7W7B2ymWFSLJtj2/ZLLJDn7MTlzXy4lm+3eKVMMOPIV82m/TC3/7aoetpDjCRZAMDg2aLRTMXQ11VHTiOC+/c/zEccPZe0L1vF2jRuoQ0tIogIyLRCBW/uOL5c0RlOBdg8eylULG4iohl8f+3dydwUZXrH8B/QoosAuGCooLgvmSWirjcFPMqV3Mp0xbNJaXc9Wq5duWWlktWppFYppnmlqWmud7K5Rbmhv9yqzQXroTkgoA7MP/P887CzODgYNKcM/y+n88JZjgzc2aax3nmPe/7POX84OvvjetZ19T8ZfMIr6nQMpq2fwBPDI9R9ZjNo7WWhiKW0VvjJsmveeRZKkQ8+3KX/PWMc3JxKSVd7eenRr5t70NUrh6s6j7n/U1Gh03TI6wqa5TyLoVNC7811lNWNZXzFvU91LY+SpbMmwIi0zr2bDqgRo0ffbqlGqnO2x/oMfoxy35/nJUqIEBQpUC8/tX4Iv//SUR0LzFJJqJiq37LOmj7bCv1+6H/HsMPG5PueBuZ99vmqeZqgZokt36BvujQrzWWHJ+Lq5lXLcm3JK+q9fITkap6w7Ws61gbv9nY0MOUPBtyTc1GRG7edIhLKZcsUx+uZ11H4vp9qFqroqXZiE3FNYMBWecz1NmfxlLf2ZSXy/3E9GttSYh9yli1fzftFBxWDlGdHsLnszfa3KckuCq3z8nBwW8OqZbd5mQ/26q97Zo5m3At8zpKliqJgW88i6Gz+2Ps36dgep/31N9fWT4KUY89jPRz6RgRNQnDm09UCySJiPSASfJfwTJ64+RpCjnVYt6sbqu6Z5k2mcZg3mwfyjQSlGtQp3LMm6xyNW9yesW82TyWnAYybdb3L9MkzJs16+tlyod5sz5OOWVj3lTPetNmcwwOXh/r+3G0j5wCM29EhSUjpc/F9YR/WT/cHxyoFuDZu371hpqnbDZ32EeqwsXVrGt4f+80rEqZjzEfDoK3jxc6DmhrdUtj57vBs55TZdGkcoYsZjN22TN3wcsbac7/74MBtZtGYPvK7/Hbj2eQfCzFtK9xkzrFnQZG29QoPrb3uM1o8YLxy9Tfm3d+GAsPv42uQ9qjUZt6lpHf1JNpSD1lNQ3CdN+yAPG5yU+gpNd9Ngv+zLer3SQCI94bgLrNjSXbIjs2wlNju+K7dXuRk52L7Su/U/s1aFVHlXyTecly+dgPv6rHJLonn5vWn19O3NbRZ4qjz0epOGHeHH4eWX1u2nzeWR2bzfVWZPqEeXN0nI4+i62P0+bz1NHrYHU8DnMAJ16r4oZzkomoWKtSsxJWpS5Qv1tPrxAZFzIxoN4o9fP1jZNQJ7KGmocrKlQtpxqUWKZMABgRPxDtej+CzR9/i62LdyC0TgjKhQSpBDGmfxt8u/J73LhqXarKNN/X9LtMXbhx5aZlLZxUvjht6hiYl6waR5J//+1cXitq0/5Zl67mK3shf/9+3T7V+e7Fmb3V/XQPfkGNbIvcW7cQUK6McQGhlZ2rE9UCPSFNQx7t1QqJ6/ap6SXH9pzArwdOYtHR2ej9SndUrW1c1Ngnrof62frJ5pbXpVr9qohoGIZrV66jZbdIVKll3JeISOs4kkxExZ4kx/YJskg7c14lxTJn+df9v2HhpOU4/N+j8PQsgelbJtkkyEIuS8vlMR8MwpYbyzFhyQjMf3kJPpq4DDs/S0RY3coYEd/f9kEMQMVq5dFxYFtczzImw+azQVJ2buyiwagiSah5GoUpV5ZRaWnnLIsHra83/x7RMNTmYT5/5yt0vb8/Ll/IxBsbxuHZCV3VyNDpo2dRL6qG2uc+r7xxkz+SL6JS9WB1PFkXr2Dd3C14f98M9Pm3MRGW10RGxiQJlvnawsPTA807N0b0My3U5bPHf8e03nPw24+n0fnF9njxzT75XjMiIq3iSLIWFfKUhnURcutKFzlZtwrXC97RilrrVbc2N/a4Y2MUm/txVNjcUY94JziqEEJ0L1RvVA1D330eqafS0GVIe3z5/lZ1vX/ZMmoryI87j+DldlMszUUkFn7ZdwIvzOyN5afisevz3di5Zo8ake7/Wk/skjrMlrbTuZZ6y692f0tdFd4wDCd/PJ0vTge/1Qfevl7YszkJGRey8Mv+39R9xq0ejbTT5/HhhGX4YeN+tb8sKJzUabpqDOLj760SYElwRyXEok9cTzVi/FLb15B5MVPFccqvxgodomHruvAP8sPF32W+tIxgl1DTMcyuZl7DmNaTVevuxC/34Y2NE1XXPVkUePPaTQRWCLiH/2eI7qLSgqPPF0cNSqyqP9ncjYMGW44+y/JVl7ndITjxUWYzvbKQVbMK25yFjJgkExE5IKOe3Yb/w3L56fHd0KhtA4RUD0YpL9sSTNm3stWoacrxVIz7ZBhmDZiX133PNJ9XWlvLlA253/njlqrRYFnYt2LmOtV0QzwX9ySWvLraOBxs9YUz61KW6Y5MCTQMasHc/RX8EVavCiY9Nk2N7kZ2fAivrXkZn/z7M3w5bwuy0q/Cw7OEqmksSa25c55M4ZCHkGOY2W8eft57HCPjB2Lpibk4c+wsBtQfbXlsGSGW7nhy3CHVK5qfECZ0mIp5B95UifZ9JT1RysdLJckH/vMjvnx/Cx4f0RELj8zGpXPpqBPJltNEpC+cbkFE5CRJEus2q4mAcv75/iZTCmRKxfGkk1g4cTl+P5GqEknvMl5o0LI2fP19MHbREJVcS0IprZ5FxvksbEjYZkmkl09bm69jnozwSrm5PObW0Dcx6m+TVVIbJM07pI7xhgOYM3QBPn39C1XXWVStXVk1SGnYOq81dM+XO1t+37flIDIvZmF9gnGkXLoO/nP+C2r0WJT28YKnlIED0HlwezW3WJw8lIwrl40VPUqVLoUZW19RCbWQkWoRHFaeCTIR6RJHkvXK6hSJw+kQjm7qoLh6rlVpJ0enpRwVIXfYAMXmfpw4n8RTP6RT4Q+EqlHcs8dT0ap7MyRu2KeS5GsZ19QorSyOqxtV05Jsz971GtLTMvDukA9tpilJ8w9RuXYlnP3ld1ViThJY4+wL4wr56J4tEFDeH1+8u9FSsq3/lKcxs2+8uvzVB1+brvfESwsH4dsV3+PUoWTs2/x/xuvvM+4vfz/w9U+qtbYca66UpDPpOPBRxDwfjc0Lv0VOdrZKlM3HPujtvvAJ8EaDlnVtpp3UblIDCw69jYup6arONJGmOGg4UthpGE41tyrkZ5mjKYu2TcQc3KejxiuFbchC+TBJJiK6B2Tqw+sbJlou52bn4K2BCWoxnNQZPn/2ouri98DfjKPQ0pCkXOUgDJvzvBq5XTVrvc39GUvFSTk2czMQ40jz1PXjEFq7Mka0+heCKgZi+HsD1NQJc4JsLfqZlmjX6xHVSlvmEp87fV4l3FKmLevSFfR4qTPWJ2yxfIDaJ7ZS1WPusAXIvpmtWlI/Pf5xdX3FahUwdtGw274OMmotGxGR3jFJJiJykrSHllFbczWHgsQ8/ygejG6g5iWvmL5Wtbqu16JWvv1kOsLA6b3w5bytKtkt7euFLoPbo16L2up2zTo+hCWvrVbzjYU073grNgGXUtPVZZVE21WMkJHiv3WPwj8TYtVlabc9b98MHNn9C2b0jVdJbk52DnZv2I+M83nt5a2nY5hZ7plVKYiomGGSXEw4WvHqVHUIB33nHT9YbqFW9RLpgUyZGBMdp6Y/JCS9qVpX30ml8GD1c8yCwQXuJ1MY/IN8VUvrWo3DETujt7q+Zdem6me75x7B/m0/wadMaTzyZBS2fbJDXS/zhOu3qoW9mw5iyDt91Wj1qjfXIedWLhq3e0DNE7ZWL6qW6rx3YNtBvNp9FsYtGY7ACv5qdDkwOADbVyaiblQtePuWVvvLc4zfOx3/+zUVLbo2uctXjkiD/sz0AyemPVhXdnLmc/PPVHli5YqiwySZiMgJP+06qhbKySbTJpxJkgtDRpqlLrN0/rMnI7+dYh+1XK5csyLKBPni6XFd8d6whfhu7R51fWB541SOCqHl0LzL7ZNac1WOkl4lVRL/WepHqu315K4zsGnBf1C3WQ38Y0DeY4U/EKY2IqLihkkyEZETOvSPxukj/1P1fuu3rH1P71umPkhim3nxiiozV5Ds7Bx8Mfsr9fuy179QI79mWaZKEzJV43YVOMSU9eNx8JtDeLhdQ5t60P7lyqhFg9b3R0RUnDFJptvjaRoiG1Lj+E7TJu7WqcPJ2PX5D+r37Su+Q41G4bfd7/SRZIxuE6dO5cqivvCGoXhlxSjV0U+mVrTo0gRHEn9Bh+fbOnws/6AyeOTJ5sjJycH2ld+hUkQwajetgZVnP1Dznu3rPxORk2yaetyb+yHXYpJMRORi0gykWaeHkfxzCqKfaeVwv6SvD1kW2o2YF4vHXvi7ms88It64QE80bF3fqcdcO2cTEsYsVnWNl558H+WrlL0Hz4SIyH0wSSYicjEpBzd1/YQ77tf22Vb4adcR+N3vi5j+0SpBvlvm5iAeHh42i4yIiMiISTIRkU5I445/rRpzT+6ry5AOqBReAcHVKqBcSNA9uU+iYocNO9wak2QiomJIRpCbdWrs6sMgItKsQhbjIyIiIiJyfxxJJiIiIrobnGLh1jiSTERERERkh0kyEREREZEdJslERERERHaYJBMRERER/dVJ8o0bN9CoUSNV9P7gwYNF/XBERERERNpPkseOHYuQkJCifhgiIiIiIn0kyZs2bcLWrVsxa9asonwYIiIiIiJ91Ek+d+4cYmNjsXbtWvj4+Dg9NUM2s8uXL6uf2bgFGIrqSIm0Tb3/pRynwfVB4ChGMzIyXHhURK5jfu9rOT75GUrFWfaf+Qw1FIHc3FxDTEyMYcqUKeryyZMn5cgMSUlJBd4uLi5O7ceNG7f824kTJwyuxhjlxu32G+OTGze4XYyWkP84m1CPHz8eM2bMKHCfo0ePqikWq1atwo4dO+Dp6YlTp04hPDwcSUlJahGfs9+C09PTERYWhjNnziAgIAB6HWWoWrUqkpOT4e/vD73h8buejAaFhobi0qVLCAwMdOmxuFuM6v39offjd4fnwPgsWnp/f/D49R2jhZpuMWbMGPTr16/AfSIiIvDNN98gMTERXl5eNn9r0qQJevXqhcWLF9/2trK//W2EBLde/+eYyfHr+Tnw+F3Pw8P1FRvdNUb1/v7Q+/G7w3NgfBYtvb8/ePz6jNFCJcnly5dX253MmTMHU6dOtVxOSUlBhw4dsHLlSjRr1qzQB0lEREREpPuFezKsbc3Pz0/9rF69OqpUqVIUD0lEREREdM+4/vxQAeS0UVxc3G1PH+mF3p8Dj9/1tPwctHxszuDxu57en4OWj1/Lx1ZcngOPX9/PoVAL94iIiIiIigNNjyQTEREREbkCk2QiIiIiIjtMkomIiIiI7DBJJiIiIiKywySZiIiIiEjvSbK03JTW1iVKlMDBgwehF9Kae8CAAao9t7e3t6oZLSVJbt68Ca2Kj49HtWrVULp0adUEZs+ePdCLadOmoWnTpihTpgwqVKiAbt264eeff4ZeTZ8+Xb3nR40aBa3TY4zqMT4FY1Q79BKjeoxPvcYo41P/8am7JHns2LEICQmB3hw7dgy5ubmYP38+Dh8+jHfeeQcJCQmYOHEitEi6I44ePVr9I3TgwAE8+OCDqmtiWloa9GDHjh0YOnQodu/ejW3btuHWrVto3749rly5Ar3Zu3evet80bNgQeqDHGNVbfArGqHboKUb1GJ96jFHGp5vEp0FHNm7caKhTp47h8OHDUtvZkJSUZNCzmTNnGsLDww1aFBkZaRg6dKjlck5OjiEkJMQwbdo0gx6lpaWp98yOHTsMepKZmWmoWbOmYdu2bYbWrVsbRo4cadAyd4pRLcenYIxqg55i1J3iU+sxyvh0j/jUzUjyuXPnEBsbiyVLlsDHxwfu4PLlywgKCoLWyOmr/fv3o127dpbrPDw81OXExETo9bUWWny9CyLf5Dt16mTz/0Kr3C1GtRqfgjGqHXqJUXeLTy3HKOPTfeLzPuiANAXs168fBg0ahCZNmqi5SXp3/PhxzJ07F7NmzYLWnD9/Hjk5OQgODra5Xi7LKS+9kVN0Mg+pZcuWaNCgAfRixYoV6jSdnCrSOneLUS3Hp2CMaoNeYtTd4lPrMcr4dJ/4dOlI8vjx49VE6oI2eUNJIGRmZmLChAnQGmefg7WzZ88iJiYGPXr0UN/sqei/SR46dEgFjF4kJydj5MiR+PTTT9WiD1fRe4wyPvWBMVo841MwRrVvaDGOzxIy5wIu8scff+DChQsF7hMREYGePXti/fr1KljM5Fuap6cnevXqhcWLF0Prz6FUqVLq95SUFLRp0wZRUVH4+OOP1SkYLZ4qktNxq1evVitazfr27Yv09HSsW7cOejFs2DB1vDt37lSrovVi7dq1ePzxx9V73Po9LzEg7xlZoW79t6Ki9xh1x/gUjFHX00KM6j0+3TVGGZ/uE58uTZKddebMGWRkZFguS5DIKlF5A0pZlSpVqkAP5NtvdHQ0GjdujKVLl/4lSc7dktc1MjJSjUCYT7eEhoaqgJFv/lonb+vhw4djzZo12L59O2rWrAk9kVGf06dP21zXv39/1KlTB+PGjdPcKS93iFE9xadgjLqWnmLUHeJTbzHK+HSP+NTFnGR5Y1nz8/NTP6VOop6CW779hoWFqTlU8u3ZrGLFitAaKV0j33pl/poE+uzZs1XpF3mT6eX00LJly9Q3YKnzmJqaqq4PCAhQNTa1To7ZPoh9fX1RtmxZTX34ukuM6i0+BWPUtfQUo3qPTz3GKOPTPeJTF0myO5A6g7LQQDb7f5S0OJj/1FNPqX+EJk+erIJDis9v3rw530IErZo3b576Kf+oWlu0aJFawEKk5/gUjFEqTvQWo4xP96CL6RZERERERH8l7c14JyIiIiJyMSbJRERERER2mCQTEREREdlhkkxEREREZIdJMhERERGRHSbJRERERER2mCQTEREREdlhkkxEREREZIdJMhERERGRHSbJRERERER2mCQTEREREcHW/wMUo16qXAvK0wAAAABJRU5ErkJggg==", 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", 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" ] @@ -274,7 +274,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 16, "id": "c7d87086", "metadata": {}, "outputs": [ @@ -282,16 +282,16 @@ "name": "stdout", "output_type": "stream", "text": [ - "0 tensor(5.6626, grad_fn=)\n", - "50 tensor(0.0299, grad_fn=)\n", - "100 tensor(0.0063, grad_fn=)\n", - "150 tensor(0.0044, grad_fn=)\n", - "200 tensor(0.0021, grad_fn=)\n" + "0 tensor(14.3856, grad_fn=)\n", + "50 tensor(0.3443, grad_fn=)\n", + "100 tensor(0.0761, grad_fn=)\n", + "150 tensor(0.0318, grad_fn=)\n", + "200 tensor(0.0243, grad_fn=)\n" ] } ], "source": [ - "ndim = 2\n", + "ndim = 6\n", "size = 10_000\n", "\n", "transform = NNTransform(\n", @@ -334,13 +334,13 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 17, "id": "edd26498", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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06X+O0J0Sk9P9KYkxtHRiohjHqs/l2yW05NvzdORKvrjN3c010wZSiL/1TNYAbU0xQqvlQ4vll5ro84NX6dDle2TU62jW0ASa0D/OrVYTt9bW7L1Ca/dnUmW1hXrHBNOK5/vZDxUCaEuKEVqtE1rN4dyNIpq5PoPulVaRXkc0fUhXej25FwWj1QVtSDFCSzuhxe6WmGjZ/12gtFM3xe2wQB8a0SuKnkyIEOHlZ9SLxdf4YDrdI9HBFNlAFxRASxBaGgstFXcz3047S9dqTZWoT6CvgTqFB9ATXSMouU80DekeSX5GQ4uvJ0BzQ2hpNLQYn1fxx+v36cBPd8XeSVONxbaYyVRtEYUIq2osLoMt2M9Ig7tFUt+4EOoTFyIueV4Z9kyC7BBaGg4tdxVXVlNBaRVl3imlvZfu0K4Lt+vsyWQ8rSKyna/oSkbxEuxHkUG+1DkyUMza7xDiTwmRQRQa4CO6pQg48ASvDa01a9bQRx99RLdu3aKkpCRatWoVDRo0qE2GVm1cKufMjSI6ef0+Xcgrpgs3i0U9e5435i4Ori6RgRQW6EvhgT4UHuhrH0fjx0ICfMRl7SXE30hGAw5fhYf3MN9P6WfEb968mebPn0/r1q2jwYMH08qVK2nMmDF06dIl6tDBehBzWz+hbP/4MLGouBt5s7CC8suqxPSMu7yUWJfsgnIy6HWUV1hJ1wvKxLSLoopqOvOQVVm5ZA+fhZvH1DjofA168vPRi5Yehx2Pv3GVDPUxH4NO3K5zn+0636c+bjToxJQSo956nXdK8Jy2AF8DiXahjv9ZnxPoZxDdafH+Rj1ajl5M+pYWB9WTTz5Jq1evFrctFgvFx8fT73//e3rzzTeprbe0fi4OuJ9ul9Dt4koqKKuiwvJqul9eRTUWRXQjOdAeLDVUXFFNheVVVFZlJplxkHE4c/jxJS96HV8SGXQ6EfbqfRxvnHEcdDz9hO9jfKnXW4NRb3ucHxL32wLT+jr1PvW2+rj1/gevU2/bfpZtXR0D1jFqHXO3seeS03N19b6+7v0unlvPD1bvb+xnqfeHBfjQ/ORHqE21tKqqqujHH3+kRYsW2e/T6/U0evRoSk9Pd/kak8kkFsf/FKgft2wSO4aKpak7DjjAiitrqLLaLMKvymwROw3EMZdVZiqprKaKKrPoqvLj/Bpe+HkPbiu1bluv82JWFKoxK+LQJw7RCtvPrKyxiEDlv7b1/cnl5/PCrS/wDN4Z1FhoPQypQ+vevXtkNpspOjra6X6+/e9//9vla1JTU+m9995rpTVsu7gFw4P8MswZ46MMykxm0S3loOIQ5bCrsVjsl2aLtRKHRbGGIAcijwdy5tkvOQEVvrRed76PX2stPWStuK08eJ7tkonnWcRLbI+pj/N9Dj/DVrbbMXMdA9j5/rrJrDg9V6lzv9KE5zr/XNePK034WepVHvNsCVKH1sPgVhmPgam42dm5c2e0uLwcd0yqaqzXfXnhO3jqWp3pa6Iz6IE1bJuKG/neqY83ZZRK6tBq3749GQwGun37ttP9fDsmJsbla/z8/MRS+z+Fx8EAQE4lJSVibEvzoeXr60uPP/447dmzhyZOnGgfiOfbr7zyils/Iy4ujnJycig4OLjBPUocbhxs/FxvGbDHNmlDW94mRVFEYPH31F1Shxbjrt6MGTPoiSeeEHOzeMpDWVkZzZo1y63X88B9p06d3H4//g/2lg+OCtukDW11m0LdbGFpJrQmT55Md+/epcWLF4vJpf3796cdO3bUGZwHgLZB+tBi3BV0tzsIAN4Nx2DY8OD9kiVLnAbxtQ7bpA3YJi+bEQ8A4AgtLQDQFIQWAGgKQgsANAWhBQCagtByKDTYtWtX8vf3F+VwMjIySCveffddW/mTB0vv3r3tj1dWVtK8efMoMjKS2rVrR88991ydQ6M87cCBAzR+/HgxM5rXPy0tzelx3l/Ec/ViY2MpICBAVPq4fPmy03MKCgpo2rRpYjJjWFgYzZ49m0pLS0nG7Zk5c2ad39nYsWOl3R61GAGXieKjS7iWHR+lwnXtHLnzWcvOzqZx48ZRYGCg+DlvvPEG1dTYDhx1A0LLodAg76I9efKkqI7KhQbv3LlDWtG3b1/Ky8uzL4cOHbI/9tprr9E//vEP2rp1K+3fv59u3rxJkyZNIpnwUQ78/85/PFxZsWIFffrpp6IY5LFjxygoKEj8jvhLouIv+Pnz52nXrl30z3/+UwTHnDlzSMbtYRxSjr+zTZs2OT0u0/Yw/uxwIB09elSsU3V1NSUnJ4ttdfezxlVbOLC47NSRI0foiy++oA0bNog/SG7jKQ9t3aBBg5R58+bZb5vNZiUuLk5JTU1VtGDJkiVKUlKSy8cKCwsVHx8fZevWrfb7Ll68KEpRpaenKzLiddu2bZv9tsViUWJiYpSPPvrIabv8/PyUTZs2idsXLlwQrzt+/Lj9Od99952i0+mUGzduKDJtD5sxY4YyYcKEel8j8/ao7ty5I9Zx//79bn/Wtm/fruj1euXWrVv256xdu1YJCQlRTCaT4o4239JSCw1yd8PdQoMy4q4Sd0W6desm/kJzE5zxtvFfRMft464jl+vRyvZlZWWJQ7gct4GPV+NuvLoNfMldKD5GVcXP598lt8xktG/fPtE9euSRR+jll1+m/Px8+2Na2J6iImuJ7oiICLc/a3z52GOPOR2Gxy1mPsCaW5XuaPOh1VChQf6iaAF/ebmJzcdkrl27VnzJhw0bJo6e523gahn8BdDq9qnr2dDviC9rnzPAaDSKL5SM28ldwy+//FJULPnwww9FVyolJUV8FrWwPRaLhV599VUaOnQoJSYmivvc+azxpavfo/qY1xx7CA3jD7uqX79+IsS6dOlCW7ZsEYPWIJ8pU6bYr3PLg39v3bt3F62vUaNGkezmzZtH586dcxo7bS1tvqX1MIUGZcd/6Xr16kWZmZliG7gLXFhYqNntU9ezod8RX9beccJ7pHgPnBa2k7v1/Fnk35ns2/PKK6+IHQN79+51KvvkzmeNL139HtXH3NHmQ8ux0KBKLTQ4ZMgQ0iLeLX7lyhUxPYC3zcfHx2n7eDc1j3lpZfsSEhLEB9pxG3gMhMd21G3gS/6y8LiK6ocffhC/S255yi43N1eMafHvTNbtURRFBNa2bdvEuvDvxZE7nzW+PHv2rFMg855IntbRp08ft1ekzfv666/FnqgNGzaIvTZz5sxRwsLCnPZwyOz1119X9u3bp2RlZSmHDx9WRo8erbRv317s3WEvvfSS0rlzZ+WHH35QTpw4oQwZMkQsMikpKVH+9a9/iYU/lp988om4fv36dfH48uXLxe/km2++Uc6cOSP2vCUkJCgVFRX2nzF27FhlwIAByrFjx5RDhw4pPXv2VKZOnSrd9vBjCxYsEHvU+He2e/duZeDAgWJ9Kysrpdwe9vLLLyuhoaHis5aXl2dfysvLFVVjn7WamholMTFRSU5OVk6dOqXs2LFDiYqKUhYtWqS4C6Fls2rVKvGf7evrK6ZAHD16VNGKyZMnK7GxsWLdO3bsKG5nZmbaH+cv9ty5c5Xw8HAlMDBQefbZZ8WHTSZ79+4VX+7aC08NUKc9vPPOO0p0dLT4AzNq1Cjl0qVLTj8jPz9ffKnbtWsndqHPmjVLBIRs28Nfcv7S8peVpwh06dJFefHFF+v8kZRpe5ir7eFl/fr1SlM+a9euXVNSUlKUgIAA8ceV/+hWV1cr7kJpGgDQlDY/pgUA2oLQAgBNQWgBgKYgtABAUxBaAKApCC0A0BSEFgBoCkILADQFoQVeiUtnr1y50tOrAS0AoQU/G9c753rhbMSIEaLOUmvhOmK16zex48ePe7Q0MbQc1NMCKXGJE67A8bCioqKadX1AHmhpQbO2uLgC55///Gf7GWauXbsmHuOCcVyskM/QwpUqX3jhBVE1VsUtNC57wq00rivFJXjZJ598Iork8Yks4uPjae7cufYz0nDBvFmzZomyv+r78ZmJXHUPuTzKhAkTxPtzGZTf/va3TnWd+HX9+/enr776SryWyzlzoT6u/gpyQWhBs+Gw4npJL774ov0MMxw0XBdq5MiRNGDAADpx4oQoC82BwcHhiM/Mwq2rw4cPi7PuMK6Jzmfh4frh/DjXcVq4cKF47Be/+IUIJg4h9f0WLFhQZ724BhUHFhfQ41Dl+k1Xr16lyZMnOz2Pa5Dxqb64wB0v/Nzly5e36P8ZPAS360EA1MPxzDLDhw9X/vCHPzg9vnTpUlGKxVFOTo4oa6KWl+HXce2oxvCZXiIjI+23uSwK13iqjcu9/OlPfxLXv//+e8VgMCjZ2dn2x8+fPy/ePyMjw35GIy6lUlxcbH/OG2+8oQwePNjt/wdoHWhpQYs7ffq0KM3LXTN1UU8my60bx8qXte3evVvUTO/YsaM4SSh3K7nCZ3l5udvvf/HiRdHi40XFVTJ5AJ8fU3G3kN9DxVVEtXTuy7YCA/HQ4ngMis+2zGedqU0tL8x43MoRj4f95je/EafXWrZsmTgTDZ9Igc+0zAP1fIbi5sSlgh3xGBl3LUEuCC1oVjwmpZ4GSzVw4ED6+9//LloyfBosd3F9dA6Njz/+WIxtMT7DUGPvV9ujjz5KOTk5YlFbWxcuXBBjbW7XJQdpoHsIzYqDiU84wa0k3jvIocOnm+JB8KlTp4r5U9wl3Llzp9jz11Dg9OjRQ5z8c9WqVWLgnPfsqQP0ju/HLTk+mQK/n6tuI588lPdA8klsT548SRkZGTR9+nQaPny408lQQRsQWtCseO8dn5KNWzA8V4qnGvCZr3mPIAdUcnKyCBCe2sBjSmoLypWkpCQx5YG7lXxC0I0bN1JqaqrTc3gP4ksvvST2BPL7rVixos7P4W7eN998Q+Hh4fTLX/5ShBifsmvz5s0t8n8ALQs14gFAU9DSAgBNQWgBgKYgtABAUxBaAKApCC0A0BSEFgBoCkILADQFoQUAmoLQAgBNQWgBgKYgtACAtOT/AeS2XOTHj1UiAAAAAElFTkSuQmCC", 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" ] @@ -360,13 +360,13 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 18, "id": "cf1efa6e", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -395,7 +395,7 @@ "\n", " fig, axs = plt.subplots(ncols=3, sharex=True, sharey=True, figsize=(8.5, 2.5))\n", " \n", - " grid_values, grid_edges = np.histogramdd(x, bins=64, range=plot_limits, density=True)\n", + " grid_values, grid_edges = np.histogramdd(x[:, (0, 1)], bins=64, range=plot_limits, density=True)\n", " axs[0].pcolormesh(grid_edges[0], grid_edges[1], grid_values.T)\n", " axs[1].scatter(x[:, 0], x[:, 1], c=np.exp(log_prob), s=1)\n", " axs[2].hist2d(x_prior[:, 0], x_prior[:, 1], bins=64, range=plot_limits, density=True)\n", From c0d38acc149b2fd4e0d25a54a491a52d368da4e5 Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Thu, 28 Aug 2025 00:29:54 -0400 Subject: [PATCH 03/27] Modify example --- docs/examples/jacobian/test_jacobian.ipynb | 70 ++++++++++++---------- 1 file changed, 39 insertions(+), 31 deletions(-) diff --git a/docs/examples/jacobian/test_jacobian.ipynb b/docs/examples/jacobian/test_jacobian.ipynb index c302714..70f2ae6 100644 --- a/docs/examples/jacobian/test_jacobian.ipynb +++ b/docs/examples/jacobian/test_jacobian.ipynb @@ -20,7 +20,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 2, "id": "8f899f1d", "metadata": {}, "outputs": [], @@ -55,7 +55,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 3, "id": "a8758908", "metadata": {}, "outputs": [], @@ -74,7 +74,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 4, "id": "0f635886", "metadata": {}, "outputs": [], @@ -105,7 +105,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 5, "id": "ed6f9f69", "metadata": {}, "outputs": [ @@ -113,11 +113,11 @@ "name": "stdout", "output_type": "stream", "text": [ - "0 tensor(6.1501, grad_fn=)\n", - "50 tensor(0.0566, grad_fn=)\n", - "100 tensor(0.0064, grad_fn=)\n", - "150 tensor(0.0041, grad_fn=)\n", - "200 tensor(0.0025, grad_fn=)\n" + "0 tensor(6.0868, grad_fn=)\n", + "50 tensor(0.0291, grad_fn=)\n", + "100 tensor(0.0079, grad_fn=)\n", + "150 tensor(0.0054, grad_fn=)\n", + "200 tensor(0.0024, grad_fn=)\n" ] } ], @@ -185,13 +185,13 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 6, "id": "664c404d", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -211,13 +211,13 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 7, "id": "2203c1b5", "metadata": {}, "outputs": [ { "data": { - "image/png": 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jW51EBoMNF5god/XVV5MNEv7OmDSHiZqYxV1XV+fOh8kwaHGE1zAm+KFFEzoiqO/wfkFXBkxYwWX/97//ee4hTPpDhwy8jpUFHOLWW2+l6xkz35XLAya+oFMC7gcmpbZu3ZrujSBXhdXB/8cCDm2jDj/8cHJtwHODFlDKtWNNWsCtCtB2qlWrVnTecTlMfPI/C9544w1nwIAB9FzCpMFddtnFTZ4KegYoS0BlqYfPMUwAxOcI/g74vMIE40y/Q9BzTgFdQoLs4AyaDxYvXkzXFLq64D2D1+62225L7ji1tbU0z4MPPkiuLKpNxHvKf51hUhy2t5jwh88avBdU4h4mwWJbievA6x6n33jjjeTS809ttb+9w3sE71fcF1zm8ccfb5KEjOvHxEEOvA/917/B6oMMbdcqKzfY4IGRZ3zrRn2UgYGBwYYAbOowKnfuueeaXi0DA4NVgqm4Z/CPuP/++0nLhck82KWEXc7YbWVgYGCwIQC7xt9++23SkZ5yyinrencMDAw2EBiSbLBKFjmovaqurqaEKNQXor7PwMDAYENAmzZtoFWrVpQjgfkSBgYGBqsCI7cwMDAwMDAwMDAwWFfuFmiYjVnkmKlsYGBgYGBgYGBgAM2dJKO9CVqH8YowBgYGBgYGBgYGBs2WJKNnJXpzovm70YIZGBgYGBgYGBhsCFjjiXvnnXcelV7EGuW33377SufFuumqdjoCDbOx0hQWpfin4hUGBhsrMG0AkyaxehlWRluXMPeogYEX5v40MNh479E1SpLRcgcrJK1KGWMEVmbCCk0GBgZNsWDBAujUqdM63QdzjxoYBMPcnwYGG989usbcLXBnsPQjlopVWmQs5ThgwAB4+OGHV+ktuLKyErp06QI7wf4Qhsia2E0Dg/UeSUjAKPgCKioqoLCwcJ3uS6Z7FO/3goKCdbpvBgbrAlVVVdC5c+f1+v40bahBc0byX7ShayySPHbsWFi2bBkMHDjQnZZKpWDEiBHw+OOP042MddI5YrEYDU13MgJhy9zgBs0U8jV2feguzXSPIkE2JNmgOWN9vj9NG2rQrOH8/+/RNUaS99hjD5g4caJnGlY66tOnD1x11VVNCLKBgYGBgYGBgYHB+oI1RpLz8/OhX79+nmlY1hgTCPzTDQwMDAwMDAwMDNYnrNtUXAMDAwMDAwMDA4PmaAHH8eOPP67NzRkYGBis16ivbYBpv8+EvjtsCtGs6LreHQMDg7UJi8UpnfS63BODDDCRZAMDA4N1hOsPvAuu2OMWuOPYYMeflSGZSMLcvxeQF66BgYGBwX8PQ5INDAwM1hHKl1TQ5wr5iahYXgm3HfUAPH7BC5BKpjIue90Bd8EZW1wKD5/97FrZVwMDA4PmhrUqtzAwMDAw0Lj1k6th1IejYbdjdnSnffPKTzDi/d9ofOfDt4f+QzYPXHb+lIX0OXfSgjUmBXnt5nehoFUBHH3lweuFxZmBwUYFI7FY72FIsoGBgcE6QqdN2sMxVx1C49PGzIS/vpsIvbfrBXlFuVDQKh969O+acdmbP7wCRrz3K+x72u5rZN++eukHeO+BT2kcNdNb7tJ3jWzHwMDAYH2FIckGBgYG6xgoq7h8j1ugoaYBdjt2R/ig9EWK3K4sett7m140cJTMWQrpVBo69mr/r/ep11bdIRQJQXZeFnTo1e5fr8/AwMBgQ4MhyQYGBgZrGYnGBMyeMB969u8K4UgYLNuCFm0KoaSmAVp3bAm2vfrpIjPHzYHztrkaHMeBh0feBn136P2v9rHfjn3gvSXPQzgahuzcrH+1LgMDg/XIDcO4aqwyDEk2MDAwWMu49cgH4LdPx8JOh20HN71/OZHiJ/+4B+ZNXgh9thPR4brqenjp+regoGU+HH/94f9InDEJEKPIiNJFK/6T/cxvkfefrMfAwMBgQ4QhyQYGBgZrGYtnLqHPRTNL3GmoQ958sI7+fv3yjzDssS9pHPXAKoGvtqoOcvKzm0gxBu0zAC57/hxINCaJfBsYGBgY/DsYkmxgYGCwlnHDu5fBD2+Ngj1O2IX+njd5AeS1yIOW7Vu48/TethdEUOpQkA2denegac9f8wa8c88w2PvkIXDFi+d51omked9T10wSn4HBRoE1LDOwQiG9+lTqP9mHVVrn6s5vJBarDEOSDQwMDP4lli8shYfPfg4KW+XD+Y+dRpFeP7557Sf46/uJsMnAHtC2a2s45fZjafrID34j+UVWbgxemvYotOpQTNM3224TeH/5ixCOhKga3+JZS+C3z/+g7759fQT033Vz2PukIau0f6O/+BPGfT8JDr/kAGjVsSVNG//j3/DJU1/BfqftAYP27r/ax4za529e/QlC4RDsftxOxiLOwMBgo4MhyQYGBgb/DyyZuwyWLyiFojaFcNcJj8CMsXNoevctusKRlw31zFtfUw/3nfIEOGmHfJAR9/9wM8Syo/D6be/T3w21caheUeOSZIQi28Me/xKeuOhlaNmhBcRyYxCvjcNLN7y1SiS5oS4ONx1yLzlorFhaDl36dIL66noY9dHvsGhGCfz5zQR4btKDtN2fh/1O693/tD3hsIsPWOl6f/l4DB0TAu3qttlnAI1XllYRsc8tzF3NM2pgYGCwfsFU3FvfgV0zaliV6as7z3+17JreHwOD9QCN8QRFZedNWUjV7i7d9SY4dbOLYfHMpe48U3+fAadvcQlMHDnFnRbLiVEEWQGDrmit9sg5z8HsCfMgEgvDDe9eCt37dQnc7qiPxtDnipJyOO6awyC3MAf2OH4XiNc3UkR3ZcB1d+jVlsZ/evc3ePmGd+Cdez+Gtl1b0bSailq4U5bFfuvuj2De3wuJKP/TegtbFwBYeDtbFEFHTP5tOhzd8Uw4ptPZZEdnYLBeAWUGavgXQEmDGryrd9wh47K25Q4Z18naSpRMqGElKw2e37S5/xrmzBkYGBisIh4773m4/sC74Lr97yCCqtDYkIDbPr0anhl/PxX4QKL5wjVvwFHtT4fHL3yBnCke/fUOeGvB03DIhfvDuY+eBptu3RMWzVpKDVhR2yLY5YgdPNvCyO/McXPJ8QKlEYhdjxoMe58yBMKxCLxz7ydwYN6JcPW+t8OnT30NU3+fCd+/OQr2zz0Brj3gLnc9oVAInhp7Lww9dx9IJdOCoVs2nHrHcbDpoJ5uJBhx0Dn7kOwDo9o3HHR3xvPw4nVvwlV73QpHXjoUnp/0EB2Lqv6XSqSgobYBSvDYDAwMDDZgGLmFgYGBgU9GgU4TOCiM+2ESzJk4H6rKqujveF0j3PvNjTD51+kkL9h2v61g6736U/R1v9N2h9+HjyOXifKllfDJE8PhnIdOJrL6xfPfw7DHhtM6djhwaygozoP66gboP6Rfk/2479Sn4Ls3RsJWu/eDvBa5UFNeC136dISTN70Y4nVxd74/v51EA0ocum3ZGRINCRgzfByc0OM86L9bPzjz3uNh4oipcMAZe9L0ytIaivyOGjYGbhl2Jfzy8R+w1e6b077P/XshRLKiRJKx+l8mDH/xe3oxGP3lX1TQ5MVr34AjLz8IdjliOyiZtYQi3QN2b3pMBgYGBhsSDEle35GpWyjT9AzdKnZMFwNIxxv+OSuWdRdZ4Ujwdtm2eFdQpvX8K2TqLjJZugb/IVQSXX5xHrw87VHyKC5fWkFR03TagcMvPRAuePx0IoBIWAfs1o8iuN+8NgIKWxVQlbpLnzuH1jVm+F9w61EPUULb9D9mUyJe604iaQ5x5oAraP37nLwrEc2zB10J86YsgsufPRv2OH5nWDBtEc1XMnsZHH3lwfDidW/Ba7e93+SeQtlD5fIqSKXSUDJzmTt96bxSspH7+aPRUFtVDz226AKvzXwcbjniAdIjv333MHj3vo8hnXLADtlw26dXuWWoQ+EwnHjzUbBwRgm069aaCp5wnP3ASZT0d/SVh8Cdxz1MpPqPr8ZDMpEEy7apMMqA3beA5695HXps0ZVeEkxin8E6RwZnCTsadcfTjbqHKBNWu73jbSVvWzMsy/eHb8sjueBt3+ryhAz7ttrLNgMYuYWBgYGBxPwpgphiAl3FchE1jmZFICtPvGS269oGDjp3HyLICjcefC988uRXcNeJj3nWhQQYyWN9TQOMeP83moZR5iLU8mKxkKp6ilp//eoIeOyCF2H2+PmQakzBA2c8DUvnLYerX70Ahp67Nxxx+VD4/Ys/3fUefun+sNUeW8Adn18NvQZ2h6qyatId0zqr6yGnIJskE5jkh2S/rrqBCOqcSQsgXh+HzbbfxF0XEmTxmYaZY2dDZ2k1h4T754/GwCl9LoazBl4FHz/5FUXGFXY/bmd4aMRtNK601ig/QTlHsjEJyxeWwQcPfQbjf/gbPnr0C7j2gDshnTaNroGBwYYFE0k2MDAwkDjs4v0pGoqR1ffu/wT2PHEXslp74e+HYNn8Uths+0098yPJLV9WSePoaVy6eAW8dP3b0HNAN5jy2wyaHo6GYP/T96DxktlLocMm7aCobSHkFmTD7InziUhzJBMpePf+T2HfU4bAZ898A+AAFKN/MkZ8HAfyCvLg3q+vJ9KK5Fosk4a8FjkQy8mGMqq250BhmwIoaJlHiXkKF+54A8yfshByCrOJvKMv84olFRTFeu22D0gHjcfea6tu9ImYP3khPH7Bi5CIJ+CISw501zX2mwlw48H30Phtn1wFnz79jUvmdzt2Rzjw7L3h52GjIRFPwh/Dx8HyBWVkfWdgYGCwocBEktcl/oUjRKbsWp69y7NonWTCHfwyDDVkWo9nneGIO2Tan0z7lil7N+Ox8GPPsD8GBv8lsvOy4aRbjiZ7M9Td3nn8I+RP3KJtEfTdoXcTyUBOQQ7pbxGHXrgfvP/AZ/D1Kz/BU5e+ArMnznPlEMXti2j8o8e+JPKMyXgXPH5aE4KM68f7tf+QvjDux0lEkBE1lXVqBvjg0S/ghevfhgPy/kfbFxYTFsQbklC2uFwk5oEFy+aVQUVpDQw+ZBDkthDzzZm4gKK9qIPGdeP8GHFGIEFGYMT35FuPhsEHDyKyi1pnxPSxs93oOmqxf/1EeDYj0O7tkmfPogg3LnPW/SfBFjttBg+Pup0KoWB0+6ZD74WqFdWB5x1fTH569xdyDTEwWGOOTxnaDpRYqIG3cZnaLI+bRAZHC74elE+owdMuMycKvi1Pe52hTc/Y5q6uo4VpW1cKQ5INDAw2enz69Ndw0U7Xw58sGQ2jwBjZxYQ1LPXM0W+nPvSJNm0nbXIBXDj4Ovjp3V9dIqmAiXdDjhnsksiaylrRgFkWLJi6GI649ECoKquBYzufAwunL4aBe21J0ojeg3qKCDRGay0LegzoSpX1dj1mMLxX8hzscvj2MPKjP/SLpGW5RBuTBn8eJizhMDFQkGKAlh2LiS/TgPZSlgUVy6rgl4//BCct/lbOFrwR7T2oBxS1KQBLRo6RFD945jPwwrVvweRfp8l1Afzw1s9w7qCr4I07P4RLdr0JPnnqaxiwxxbQfctuFD1HyQYmM6Lu+piOZ8I9/3uMXC8Ou3B/kpbMGjcX/v55WuDv8/qt78PtxzwE521zVZPfwsDAwGBdwcgtDAwMNno8fenL5Mbw6s3vwMA9toCZf82B87a9muQLWP4Zo7uYjIZk9MsXv4Pt9h8IV712AXz02Be0/PSxc+D2Yx+G0+48Fo656hDPun//4i/6/OrlH2kbsZwoEVnEn99PJI1usjEFV+xzBzlPIDk956GT4O17PwGggI0F8doE1FfH4ce3f4XJv8wg2Qb3Kcb1vjnnXnLHQN3xR098BQWt8mDnw7eDb18bSdKJLXbsDUvnLHeXcZe3hFYZyTlKHzhadW4FOx68Hfw8bKwbgcZIM0WkAWDZ/DLP/MsXriCfZYUJP012dc3fv/UzHHPlwSTDQIz88Hfo0Os9OPDsvWDkR6MhJy9rlRwvTIKfgYHB+gJDktcUMtVn/ze149myXO6QsVZ7hm1ldKtgsLN1WV0nQ7ZvxgxfNt3OigUfCsuW5+vPtG9OJh/1f3M+DZoN9j11d/jq5R9g7/8NoUQ3LOuMkU/E9D9m0efYb8bDhBFTyF4N/X6VjKFL386weOYS0gpjlHj8T5NpHTsdui0lq9m2BaGwDR16taPl8lvkQaKxCtLJJMyZsADyW+ZD9YpaKFskiCfiyn3uID0wwQJYOl+SW8uipDcFUXBA7MedJz4BOx48CF657UPyIo7XNsJnz35P8xW1KYLBB20D377xi1jQSUMsNwoFxflQShploXXG9WFhkUXTl9C00oUr4PW7PhTRYuS6kiiLdeAEQYCj2VFB8FUWPs7iyFlIdpINOwzdmsYvfPIMePjsZ0na8dqt78PEUVPhxBuOhC132Szj73PCjUdA9y26QLctugSW9DYwWK32lLeVvqIdgS4TfB7eVrJ2zQoHbyudSP6jSwZv7+ycHL2aOJNbeeQRTHrI9i1dXx94LJ799LTF/8LpwrSnBEOSDQwMNnqgbRsOiEuH3AQTR0yGtt1ak4VZblEO6WuPvfpQ+OHtUfDxE8OFZle2TWjtdsM7l8CiGUugTddWcO6gq2n6DgcNIrK8bIEgtf127A3Y7s6fLBwyFLlFqYH6ExHNjkCiIQlL5i53G2eM3kZzopCIp7zsk5HWP7+bRAMScvc7SVYrV1TDsCe/1gds2VDYqhBs3rCzts8lBY4DJbOWiegt8mS1XZcwix1XBFkVHkH3D0cSaFwXykowKe+F694iCcp5j5wCV+97J0XRx30/iXymH/j+Jthyl75N9mfe5AVw78lPEEne+YjtV/u3NTAwMFhTMCTZwMCgWaKoTSEMPXtvGt/9mJ3os8eWXeG0O48nv+Dv3hwF7bq3htPvPA46bdqBIsW/f/6nSLhxHPjts7FiRcQlbfjypR8hldDRl6J2hVCxtIoIcGHrfNImI7SKQpJQRkbVZ/uebaAEpRPqO1xI8WbUDssouEuUUfowappLmvFzOUomHAfsSAi23HkzGD9yKrTr2gritconXWqU1Yq51MElzCLC3K57W1giy0w7Uvjcsn0RrFhaQd+/c9/HVK572u8iKn//9zfBsPKX4H89z4cVSyppHqxCGESSv3zhe4rm43DkZUOha9/O/9+f1MDAwOA/hSHJawqrYO6dUVrATcW5LIFnz2bqWmKRI4tJHZyG+D93V1l6/Q7vQuLSC+Z16tm3DHXl+XpWpdsLIBU4f0ZJiekSMlgFIOH789sJVEXv5g8up8pzW++9Zcb5P33mGyqrvGJJOQx7fDj5DmMFuhl/zaXvscy0SyIlS0WCjBwTJ4eiIdL/5hfnQkNdHGor611SmoynIJIdI0s1l5/aFiSxZLRtUeLcsoUrGHmWZNi2IJYdEXpnl8xyaYSXNKvv8Jad+sdsus+QeJ9661Hw2xd/kvbZnU/dgxYWErFJzsEJc9WKGuiExVOGbA6fPfMtLbNiaRXYdgjSqRQ01ieoYAres5js2KFnW0gn04IgA0CXzTrC3icPaXKeX77xbfjkyeEUzd98h97QcZP2GX+TVCoFoz//Ezr0bAfdNjdEeqOD340hg+whYzuYYVkuXcgksci0Tt72cakD3x/eDlpR3aajDCuoHQTefoXZspFIYHvtaUM98o/IP7a/GaUXHKtSlMT6lzKMDVjGYUiygYHBRgckppiohqWgESPe+5XcE5D3PTP+Aapox4EuFygjyCVLNaCKcTgN3SHQxQERjurHJRJBLNKhiCgRS4zuyshsOulImQVaNQmbKJfQ2pYozKGiuHK6kjoQWab5hC8yQc6DNm+e6Qq2cMBw1+NbrkERa8eBF296D0KREGTlx6ChthHyW+SSfEIBDwNJfqpRNWYOJQai3KSyVFi42SGLEvawCqFm5WKbV79+AdnKLZxeArscuT2M/XoCnHr7sRDL1nrNspJy+ObVn8gHGl8m2nZrA3d8fu1Kf9MPH/4Cnr3iVfKjfmP+0/QbGRgYGKxJGAs4AwODjQq/Dx8HBxf9D07tcxHU14joj7JuQ+6oEvam/TGL/IqxPPP/NrmQqsshGURs5XNhwIIgux+7o/T1tuGoKw9m0VxRoa5Fa0HaLDvErNYsneiGkSV/b4pry+YdsLSz8Ey29Tgf0BMVpyt/VCTOcn9w3A7r6Z6BfFSFg0W8QZwTOma+fTpfjru/PQZ0E8QcLKgpFxZ3eB7xpeLoKw9iy4llHz3vBXjsghfg9C0uI5cMLNDSaVMdIa4ur4EbDr6HLOYa40nou8OmcPpdxzf5HfE3Q6/qP74e7/kN0/wlwMDAwGANwkSS10K3QUapQKZ50sng7phkMjijNpsVAlFaRZynti64e6hIR2CcOt2FZOfl6umZ6tez9dv5+f84f6bsXU+3FF+AHW+6ri4wa9iz/kzdZKw4SjquNJgGGzvQY/fu4x+mrv7Fs5ZSlTzUuO527E6QlZsFeS1yoWf/bvDrp2PhxkPu9SyLnsNYnQ6jxMdddxhMGT2TEs4wMpvXogC+fnWke5m9fvsH7nIigmtBBWqOKcorpodjIVpXdUW9l9QR4ZQEWU4vbJkHtbVxsorzWKCpefy2aGq6+k59j9oKJOY8Sq3mkVIpvn7sKu64aTuYP3UxOCoS7tve7IkL2Db1LmD0OSc/C3Y9agfykFZEuWxxBYz5StjATf19BhUeefOOD+HOL64l+71r9rsTZoydQ9+HwiE479HTYNOtRWlrDowyP37BCzT+/N8PkV65XbfWJMnA4i4GGxlW0p5mdKLgLhAMTQpTqelRLlfgDkuJ4DY6g2tEpunpet3W2LnaxcJz/7J2nLeP9KIbuM+RwPaXO2Zkcovi7alTl8jAN/7ZBcvxFSFjOx24bBNsYBILDhNJNjAw2GiAXfzV5aIM88A9t6RyzpN+nkpV5AYfvI2bOIauFBwoBbj+rYupEAYCHRn++n6i4LCWDRWy9DQCK9G16dxKVr5ShTlkFNeVHohS0USQ6QuMyoootCdSHApBOCsC9fGk0DTj+vggl1OaZM90HLCxY1Fk+pvrlT3LN103ko/5U0ugfY+2wfMpqO17It42aY4vffqMJr8D+StbtuuhjLKMH98R9nT1NZoYYGT68t1vJl9ojOof1vo0OKHn+TD6yz/JbxoRjoQhKydGhHrI0TvCJgObEmoDAwODNQETSTYwMNhosMnA7nDM1YdSNb1zHjwJLtj+Wlg0o4TI8RGXDYXtDhhIJaNrq+rhvEdPoUpvqLPFaPFWe/SDKaNnwJivxkGfbTcJXD9qj/c4bid46vLXxQRfhHfw0IEUea2rbRD6XSmP4KBIGIvWYuAKk9JcksqjzgGJeDQBo8JEWnmco6k+2LMuR5kbs/XJ70vmlupIFltGRKT1NEwMpoiznOWLF3+A34ePJ+cPy3Ho+4692sHoz0WBFdyf4vaF0LZLKzj4vH1pyl1fXENEWEUHkTQ/dcnL8Nf3f1N0GofrD7gL2vdsBw+OuJWixmgvZ2BgYLC2YUjy6iJDxu1KkcFBYlWKZfBuID5/iHXlpFkmrKcLhhrFptOdOOuO4Q14jEkauEyCddnYLfP0dBZpstiyTgPrcuIOG7xLKxHcfcO7n3hmsScj2EMMgqdnLHSyKpnR/m1swF1FzQ3oOnHancfReHVFjVtIY8KIyTR06t2Ros2IsV+PFyWQLaBEujMHXEEuDhgBbtGuEG79+Cq48ZD7pCmFsH3DawmLepCumSLImmyitnboufuQDre2ph6euuw1Rlp9+mMllaCIrV9KoSLDDliWrTmt+w9lzjUl1MxSjvYVx/nl7hYHYZVA8Bnh1/dKAk/zy21EsqMkBSF3G8uC7IIsiMUilNiIfs+IaFYEitsVwe9fjhO6ZZmsuMNB28BFj59GVf9uPepB0oK7uys3jQVHePIgflkyexnM/HMOHCTJNceMP2dDYat8SqbEaoTturVZtQvEYMOEx/3JDn62M0mAxyGKF7Ri0x0me6Dy8O467X+ULnDnKCumx0M52YFSRi6lsJhM0eOYwWSTTqo2UAaZrvT2gP2juxRrczO5YXh4DOMM/Hxa3ImLrz+TDGMjgiHJBgYGGx1+++wPuOv4R6l6XsdN2pEzAzZUiiAjVpRUuASY/l5SASGp/0Py98M7P3v0jy3atoCK5VXeDbmOFTZMHj0TrhnKdc4+2QN/IbUtOOi03WHMj5OhZE6pb5VS2iBJqodCc2IcpF3m62C7QKPEkVUBEksUA6GJalledU8u6jiQnRsVxVVkY4/k2Q7Z5IDh7qcjSmcLwiwJvjx3nz/3HUX29z1pCIz66HfPPtI+OADlyiquT0c46Ly94fELXqK/n7/mTSrf/eSYu9wKhT+8/TPcedzDRJCxWAniurcvgSFHDW5yHRgYGBj8GxhNsoGBwUYF1B/fcsT9FLlE9NiyG1z9+oUQlgS4oLWO5HiT5IQ/MJE/APjxnV/VFxCKhGm9BOVSYQEV/VAyCTdaxHW9GKWROmTvdyH4YdhYWDK3TLpYCKs4imIp7S/XCNN6pP5Y/e2frsb98/JB7YvansVdL9S23cOmeesx4YfrnjFBsrIeykqkTpu00bopwSp/Ox22recc//ntJJjz9wKSTeQU5pBbiPqOyLQFsMfxO8GdX1wDT13yKn3XulMxEe8VJeUUUVYoX1JBn4ogI379eMz/93IxMDAwyAgTSV5dZOjSX9l8XBIQKsgPNgzn3R92Ojiz1bN+K9jdgnedZCjeYbHuG2DZuJ55Cgv0H6yAiCd6xfbZ42LBMnBJvxiwHou5VbilcMmVIhbcHZYBmWQnXilLJqnGSmAkFhss5k5aQNIAROvOreDIy4fCxTvfRBKJnQ/flspT//nNBPjs2W9Jg6ws4XILc0h+gc4YHkjLNFUxL7cgmzTNW+7al6rc6aitL3LsjrOILpJSOa0GfZQVIebgZNuPoGlB8Dti+P92Cb+OQuOt4TjS19ktT631x8ohQ8g+fJ7MJB0R0w4+bx/44+sJdKzkpyyt2966+2O5yqb2bbscsT1c8dJ5MHv8XNfqrXxZFexz8hByCBm4ly78MvTcvcnnGS3oXr/tfVgwdRGMeP9XOOziA6D3Nr1W7fwYrP/gbkjcTYK1a9zlyTM/L0TF20cuX+RtKy/YwefnrkpcIsgLf9TUBrbXnjaU33tcUsjnYe2UnZ8X2A7axUWBcg6PHJGfKybvXBUHDO7OweFw6UUGZw//fe0p1rIyrrSew5BkAwODjQroydtrYA+YN3kB7H78TlBX1eBWihy4x5ZUhKKobSH8/cs0dxm0htvhoEHw7evC5k1AySR0I7fJgK5w+fNnwnWHPAQTf5nuTXbDBoNLIVQjobyP/fIIhN9BQumU+d8rs4QjZYNMxnP10bRDcr/Y4fgTAsk0Wtq+KaIs5xPSDPwf90X6POM0VchEzS8JMi9g8vmLP0AjFi9BXTJtSxU/8ZFjSWoOOncvOPGGIyhCjC83x1x9CPz07i9w9BUHwwFn7tnk941EI24SYEFxHly9z+2QTKdg1ri5hiQbGBj8pzAk2cDAYKNCNCsKMSr7nIJ37vkEPnrkS7jloyuodPLOR2xH84z8YLQ7P2qWr3z5PHjwrOe8OmJ/b4xlwYzx82HK77OpYlyTiLGKpipNL0/sY+vIHHH2z0cjvulBbhae1D72NSOmbgltmbwURMDd6LGODpMiGkmwKohCkeWmy7p74Th0nj2rVMehHDJsi1xCkokULfTlC9/DJ09+A6GIDanGJBx64X5w5n0nUmIeBxZs+e6NkfDu/R9TsZdzHzoFttpjCzjl9mOhvroe9jjBW0XRwMDA4N/CkOTVBe+GX0UHBF4Iw+Pq4KkRnxWckeqRT/AM2bx/lkPwLpVcLrGoD54eZtvi0gWWsesBm98qZ90p0t/Uv28OL27CnTT8ES416tkWyyxmk3nBEW/2rp7HjgVn9Tq8W90vwzByiw0aWHRCRYpRu9prq+6uBzLikPP3hdHD/4KyRRVkf3bVvndCHLW3HkLKVsiirc/f8K7WCqvv+HxILbmMImjeQIkGXxf7O5PEQkVoPc8hRoD5AdB9KKeHHO80Wo6RY1V4hCUD0iZolSEZNfbJMFKiCApaxongtoxSy++L2xeRtli5C6B8RTmG4MsMTUPSDAAfPfolDYhHRt0Gm20n7PieuOgl+BRLhDsOzJu0AI675jCyhzvu2sOCz4/Beo9VKlixEncLj3NFpm1wCR+XVfDpXCrA18nlgp5iInawfJG377wNzWOFRXjbzdfJZBtOtXZ6sXjxLy7t8OxnsNzC0/5mkh06/+wEkuZcIpNk0fH+fpkcuzY0GJJsYGCwUWDYY1/Cb5+PJQu4y188B4aeszfMmbQAWncuhpdvepe43AWPnwaxrCh027wzNDYkXauyOMoD3ChycPRXuE7YUIfFMILcI1Tj5CfIfncL929Nqt3pvsj1SqUWavsrq9CsGkAlk+DT1TQeQcaGkUtH1HeqsSVNMsooZJScyDR+ynOk5kECLNdv25abROnuO5eE8INxibn47slLX6GqfoddtD9Z+InzbMPuxwyGojaaPBgYGBhscCT5rrvugg8//BCmTp0K2dnZMHjwYLjnnnugd+/ea3KzBgYGzQzx+jg8efGLxK8w0eum9y+HzQf3hu5bdIGPnxgO37z6E82HVmN9ttsEvnjhe6r2tjL9MSe3NEVGg4nDkdsDixz7Ncg+NwiXAHsIM5N0rCSy7A0K+7yW+TJ+v2O1mEt0XaGxd3kkuoq0YpRZaZx5Uh7XWysZRtoRRBhnxl4lFXlSemV5DBhdbqiVLxZKQy2zGVWSsieSx3TV036fSZP++m4SzTNg983h9DuP82iP62rq4Y+vxkOfbXpSKfIXrnmDKvMdfsmBq3j1GBgYGKwDkvzTTz/BeeedB9tssw0kk0m49tprYe+994bJkydDLu/m3xjg64LwdFsE6f58EgLPqnh2LZ/OslO5lMIjz2BdM57iIHxZLiXg0osWrFunBbPJYlZLyWL9u4VXMJLBu5x40RDebcQzeVkWracQCc8+zgBPtm8O68biPrEsyzhVXR0sfVlVpwtTWGSD0CFvP3QQ/P7lX7DToUJ3/PJN78Cbd35EhUEUGuri8NptH3j8kfOL86GupkG4KvgIsiB6QT7Hvkx6/3z+ZYLmYdtRA3n5+4kyjbtb846r+fzyCgkhjVDzeavwieQ8Ls/wRZPpWhdk2BORRlDFPwArzTatJBk4j4o846JUeIUReXVcRIxFKFxF9PNa5EBNeZ27T0VtC8izWgWdcwpy4MGzniWivM2+A+DTp76CR897nr4ral0A3bfsAlN/nwnT/5gFh160PxWXMVh/wR0QIEPBCv98Fisy5fBiHKwt8Lotce1d8PVgcUkhv8/5dNbmpot0+2jX6rbMKdTtoOWR8zGnhwiTKVYFt6FcCgKsvbMK8oKliVxWwSQlmYqRcYmIwx0tuBwxQ+Etyw6vmtvXRtJWrlGSPHz4cM/fL7/8MrRp0wbGjh0Lu+yyy5rctIGBQTMCktlbh10lKs3JxuPHd391o8f9du4Df/8yg/yOMelr3I9/u6SyuqK2qe43iCDjut0GLkAzzCPInmmZCbTjt4Cj+QM0y/RSxyLIfrmHz8XCczSK4OKuq8gwkVuezJcGSyX0WbwanxQXqu3ySoG0vCTSqoF0Xwq0C4ZbrbCJVln+I6PGlz9/Njx2oSgiIr63IYYBA0cUcDnw7L3g8+e+BSflwNv3fkwk+ZdP/nBnr69tgE0H9YJpY2bBbsfsaAiygYHBhqVJrqwU5vPFxcWB38fjcRoUqqp81a0MDAzWKdbWPfrFc9/C+w99CsdecxjsdeKuGefDAh8vXPMmTBg5FXY/dkfy6FUk+ez7ToTbj32YiNqkUdNp2vifhK6VEECM1bQmBNlNvrMzSyRUwQ5Ont0CHRkixu66GRF294WTZT1OdNMfmeVANwp1SLySHpNQuAEglbxHhF1+l+YyDFw/0yfjNFqEVQTEadgrpuzgKPLMXDD8sg8P0RfTevXvCjseMggePPtZz6GUL610f49RH46m2bNyY3DA6XvQ9JNvO4ZWg0VHxv/4N7xzzzB4auy9lKjZHGHaUAODDZQkY2N28cUXw4477gj9+vXLqGG+5ZZbYL1Dpu527k7BTcf93Ra8UAibz26hjcHTK8qDzbp5dw+XYcR114/FZBLpXN1NY5dW6qTbjqKkKyJUw/ahUm8rnR0J7BKymYwhVMuyXBnSLXQ3kF2pHScgv70e510/PFuWFViB0hX6uPh0linMs3rTzDGDdy3xc85/G4/5fKZuP18G9cbSbfRfYG3do6/e8i6ULS6HN25/f6Ukecafc+Dd+z+l8amjZ0Bx2yLY9agd6O9t998KDjpvX5j08zSYOnpmkBrBQz6jWRFIJFSRDaYpdgmx728eNeakVpFjXxTZQ4yJUKt9EK4QXNPszqvIJMoRAiUX0JQsu7er0hZ77d0oUKws3Vz9sFxvygHH8hFbHFAyQfuH21ZJfL7EPpesS8cNXA/N4+salpFltczjP98CD53zIhzW9iwYMGRziNc1wIJpiyEUCkF9jbi/cf7KUiGbGrjnlvDGnR/CM1e8Bvd9dyPc+cV1MPKD34gk42bQXq65Yl23oZ7iErzd444Lq1B0S3xlBc6XrqkJltsxeKZzZyQuceQSRO5i4VkR2wfexrNrLNFOywgjpbWBbagT1duyZYl3mp6n2/d0Nmu7UcOv5snOC57O9kG8DMvxCOcbkeDiI7wdzMBPPAVWQqFgFxJerMTfhnIzDY/zVGqDalvX2tMEtcmTJk2Ct99+O+M811xzDUWb1bBgwYK1tXsGBgargLV1jx5+8YHQom0hHHbRypOvOvfuAO26t3H/zpea+UUzl8DTl70K7z/4ORFkLHHsL0EtPvW0fjtv1lRCQSRXlp1G2ycqG60ixj5JhSw3TQOfFyvY4Tgmt9GAfwv3B5xOjV1Yj3uGSEh8ynU5If23ZwjL6Uimw5Y7PU3rsdg6Q+I7XK9n2yGRhCf/Btw/uV5K2sNPVdYaj4+/AKiS2ErHjeWuXULtfZnACnwIKkttWfTbXbjrLTBrwjyaPu7HybB0XhnUVNRBZVk1yWPQPo5jwbRFMH/KIlixpALeve8TmrbTYdvBPd/cCI+Nvhu6b9EVmitMG2pgsAFGks8//3z47LPPYMSIEdCpU6eM88ViMRoMDAzWT6yte/TIyw+i4Z+Qk58Nr854FEZ+OBrmTJwPfQcL55zrht4Ni2cudYns8oUrZIJdQIEPG0tFA8yZvMgb2ZLzK5cGPj/BjQrL9SrvVEUKKfqrvpcRYpcwKo2xmJ+ixJ4KfVp64bCIswt/pFnJKpQHMi0ol6egsYzoYmQXt6McLCgxj7qLKBpFEea0rKQnI8E0mx0CC6Ntajqum6QaUn6hjpvJMoS3MvNVJgWGBeGoJQqJAMDS+WUyP1A7X1RjQjDuYtqB+po49N6mJxFiikCnHdhk6x6wYOpiWh7LimOy5rb7bQUD99gCmjtMG2pgsAGRZHw4XnDBBfDRRx/Bjz/+CN27b0A6sQwSC97tYPMsW17QA5HJgYGBG4PbXFrAkSn5hJmZ866idBarHZ+bE5hpmyzQso2wP2lIrQcjPWo/Q3p+u0F3tSTb6H3WXcEA4SSThbAuIY8UJFt361h1TErBXTJ4900Rc8Zgjhl2cYtAJw1PbXqWpevJkl6Jkb2n7ryRXqx3wGfLS9e/TVKK0+85Du49+QnyOq6vbiDbt5LZy7S+2NcN6AERZPE9uSg0kVj4nClohT6JBUWPub4YKSkSVpuRYK091uOSRCMhlMsLmYU3mq2muaRaXc50WfrsL9SNqHLykPDS+bIE8VWlookIK79kqWPGaTbTIqcEIbZsRZYFCSay7D4rpPxCuWL4ipDQ18SRMQItrOaS+CzCiHNQSW6qx5CETQZ2hxlj59DfE0ZMgYF7DoBBe28BfbbpBZ16t4dfPh5Dv/f8qYvgugPvhnMePAn2OH4nKGzFnhO07GQY9viXsN+pu8M2+2612teZwerJKjyOCAyZClnw53ST+9SKBBfvsJlDEXd+YNeTw9vsDA4VnqIhDGlWDIu3mx5XCvmSR+MxTaPi7b3Xn7v79Xo/063ygiUTSuqF87A2mrtLcVj1jcFSzIqq4MIl/Fxx2Qn/LbnTBYfN20NWfITxhHQ8sdoyVWjuJBklFm+++SZ8/PHHkJ+fD0uWLKHphYWF5JtsYGBgsDpIJpLw1CUvQ8mcZTBm+HiadtGON7hENxILw3NXvyE1tyrRDYmijuByshvNjkIiLhsPFtn1EGiuI+Z/KzkFJ71uFNkXOVbkWBFm93tJjGUjJMgy1yWziLJynuBFT4IqVNO4mIBJeMoCmUiyJMZESLgXMhUDYc4VFN0VjhfiXKJuWZJllaxH51Qum0YHDBZNxoZXkW3ZXjo4H+0Ie9ngkXDcp6SYf8afc90DSqcc+Ov7ifDntxPcAiaYvMfx1KWvwMdPDodXpj3qmf7oec/BvL8XwuRfp8PbC575z65DAwOD5oE1qkl+6qmnSBc1ZMgQaN++vTu88847a3KzBgYGGyEa4wl47srX4JMnv4IxX/4FHXq2BRsjMTIRDRO2vn71J6ii7npRGpoGCHaiwMhTAntGOAEOIshcg+zqj73LkH6X5kPyLPXG8m/SHyu9MY6HLdIKp9nfSI7TEVsMYRtSvnnSETmf0hhH8Xsx3T/gd06T5eT6ImI/xHbEvqVJv2yBE+HaZ7UOKSNRumrUFMtjc+3r6JilZtkTUfedN37+FBmXFnEUBUR+HLKh18BuWs/cpFw8/YiQaEzCsVcf4tGZo7zm4l1vpBcphe32H0ifKMcwMDAwWO/kFhsDPAUoPF1L3GDb9zDPUFzDk2nLu4F41w9bV7pAz2NT6Vy1nlBggQ+OdD5zgYjodYbq9f40tGGSDNaNgo1k0Hg6wrp12M8brWQFRwr1dsO17NjZenh3VTpf74NdwzJw+fXDZSG8a0lmv/vn4d1Jnq6+1ErMzxk8XUrcTYMXXzFYq/jgwc/gw0e+EH9YNkWT+TMmnXagfKmUTHh6bn2RV7/EiNus0aQAYqcix4q4cdcKTpiRXOJKkGCq70N8PiGxIJ0xH2efCCckp+EfxB9VhFlHjZWk2AW/Xdy/pcxCWRNjcFcGgMGN7gJYKWH9htFrC6UZaSm3wJVIuYWF3aR0nMq9Avcf5RfyPiKii+tLSf0zO8cUvbb1M5P5KIt91xFlLPiijpOKjMjVd+nbAeZPXkzzterUEg45fz/4+PHhUFul78m/Rwknk3479aG/z7jnRDj++iNIu97Y0Ai3HvkALJtXCje+fxl02rTDql98Bh6s7NkZCPay45G8cf2032GCyy+4ewN3f+LLFxcFyyp4O8LmT7YILvyRymWSxXSws1Nja9ZmNbJlY/o4U1l6PBzRx9LQSq8/Wq3PY6RSt5WhuJ6eLGTtHRvnEg7ODTySRe7gwZGBm3E3jEzuH/aqulN4vlsFd5P1VIbRfL1yDAwMNigUthZ6v5DUBgo/XvGdxV7AEFiaWn7TlBRLGzJP5Ni1bbMzujbo6Kj+TkdaZcRYuVmoT3KKsGW01us2ISLFclxGmyk6jFFiWkZGgDHaGwbxnYwOp1TkmCLELKocbjqkcP0s8owRYxF1tptEsYUrhtiOG4FWDhqRkLufRPjxnNN8LIpsB0XefU4g/Dyy3wB/EztkQxb+dkq+whrzBVNL3JeCpXNL4bqD7oFYXoyuh7wWueSY0XNANxoQVWXV8N4Dn8KiGSWuXeDoz/+EOZPmww9v//xfX54GBgYbIdZqMREDAwOD/y+GHDMYnrvqDaipqIWdDtkW8ovzoGpFNWyxy2bw5h0fQnV5rSeqTOBRYmVRxiQXHheLjJXxlGOFV17hRo5ZpFmQR2nF5n4vtMZuJNn2Ro/d6fifjDojxHJKl8xcL9zj8VXa41CHLyO6GB0WDhZSk5wmEQptF6NlZH0st0ffyaQ9GjCSjMEj2rxwq6BNU1KgiP5QYqBM7KP9VBFjFYHCl41USpx7+R0lAqqkP6lhxnXPHDffF3XUEWjXYxmJ8rzlUF0mvJOL2hbCS3+/6DkFT178Enz3xkiKIl/45BlUnKbnVt0hnUpRRT4DAwODf4IhyasQ+ucFKGze1c+6IBxfV5En+5fJMmw+nZl7czNw4PXZGXixjzRzh/A4TuSxzFzMupdIFOplG1ox+QiLwIUb9H7GC/SykVo9vaFIn6OsCnaOWHeSzTookvl6W8ksvc4oz1ZuXIWuuyTv4nECs3ctLoXg87MKVLwLide495vdO+nk6kksNoBuow0d8do41FQKIty2W2s4874T4JFzn6cu91Q6DdkFOeRugQyukTK/fYl6HB7nigCCrKKhal5XToF+wowUKwLtIcZiuiuzkERaRJplEp8kylpugdNwHZIQq4Q+lyDrT498RLqxsamaOKvy1FI14RJj/JRReOSolvpMSjJtSdlFWhFm6ViBhUYAk/noxFEin6gTIjZIRUiU+4XSGFMVPym9UBIL+UmzC82HcMZgDhehaJgS9lq0yYcVi8ohFI1ASsrWSIKRdqCOySxyCrLJJq64ne5yL2ojiizlt8yDl65/i0g1RqlfnvYotGyvXXEM1jw8Egv+rOXtpu+5aUWZHJG7R/HlY6wtW7JML9uyONi1KV+339hLohCu0K4ONd21XCF3UUOgNJEvq7y/6XCymdwiqqfXttf7mV3K2tMW+ljqWunx3JIMjhZcBtig159ooc9VlPEBj0yFOUFxOYplsQIlyWApTGrZcj2dyU89xdEgMzIV8doQ2kojtzAwMNggUF8bF0l4ANCiXREsnFYCX77wPSyZuxzqKuspQqgRILPgtmNcDsDhlweQlELJCbjUQkWNZXEQmaDnFgqhaVJSQUlxKoFPySfYJ8kglARCzEvyCpRV8OQ8d16AlBqiOJ8Y6O+w+KRpKLVQy8l1pEiuAd71qX1CSYac7kpC3IQ+eXxMkqGOWUlLmhRaoXPFpRgBiXzs51LnHqPFSJAxYrxiSSUtmyKiLt8mJFLKSs6yYMYfs+HxC72R5DPuOQHu/+FmeHLMPTDk6ME0raGmAd67XxQgMTAwMPgnmEiygYHBeg+MAl6w3bVuVzt2oWOEECu2lS+tgFh2FNp2bwcz/5oDfbbrBVN/n+1dgZJZeKzc6AsdRW5C8JRGWSWp6XLSKlnPEy1Wf6PGV+p108r/mAilTshL4zgtp9al5BVKnsGix5LXqyQ+Kg3is0d2IatNU4wXk/IwYovblMoJFVGmT0zWUxFmlE6k8BzJU6OmSXUEOVDIKDKtT5adxmUwuix2LE1FS1B6QZFm2iGMEqtkP/1buD8LRYV5CWsdUebSCn2sFnTo0QZ2OGAgtO7SCjpv2h7uPeUJ8rie9PNUqKuup2sDEQqHoP+um9P4iTcdSQVnlsxeCltgZUUDAwODVYAhyRzcgJwVmvCAGXLzbp9MBUOaoDA/2BGDuVVw03LPppnBOO9Gqe+iJQfRar1/iRxm9M26h7g0Il6g9yFaq6fHKnVUrq4NO07Wk1Pfku0zmyerTJ/HSL0eDzWwjN0cfeklW+tunSjLLI4u0abo6SzWrVMhdIhNpBQeh5FgCYfNMn+TpSv0/vtnz1BAJmNW9wbQbbShoLK0Cq7Y4xaI1zfCPV/fAG27tqZiIVUrRLGYwy85AHpt1Q1uP+ZhWDIHu1gtiNcnoap8NhGraX8wgsxsxrxRYyRjoWCbN06QpfZYWaMpTbFLkJVdmookS4Is5peEl5LjtMSCyLNLkAW/VH8rXbAqMOJKLehY1DEFOFuwwxKf6GohZ2LyYqFH1s4RHrkF5iim5HgKs9gFScdPEem13QIjvJsctcgOeirjp6DwUl8hGT7eG/SyIavz+RwthIeyFFCr30NW7XPnJc9lgNyCbHhx0gP0u2GFxbO2vtrdDyTKM8fNhS0DSHAsOwYv/P0QxOvikFsY7AZk8O8lZZmKMGUqJmKxtsgK+4p7cPcoLnPkL068679D28B94u5PtvJEpwWY40QnIc1BhFmbVdVDyxgainj7qPchxYqJhBucwPlDzGwjmc2mx/X8YXZKGwuD5Y41bXX7WKCl+xCp0htIttR8IFTTECjV4AW2PC+tvH5Fg25beeG0NJuOeQZ6Y17ewufzSGxY5bHVdklZBzAk2cDAYL3CpFFTiQAhxn49HoYcvSNVXUO079EGjr/+MDim09neIiAI5Fgoc3Ctx3wrVlFKRYRXVk2Pf6eS9BRB9ifoMdmBcotQ8gRFjtNq3J2mCDISZvAQZm0RJ6PLSovMCTOzgmsCXexO65HVJ0aLsb0i3ioIs6s9lpFjGpeEFb/DaDhGne2klhm7hUTIJi5NtnlY5UxpmoUVni1t46RzCP0uVJva+7vJ1YmCJl4ShM4VKazkJSP/g/btDwuml0AkEoJ7TnnSPQ9ZednQsn0R1FTUkDQjxCuSSoQjYQgXmibPwMBg1WGeGAYGBusVBu61Jex46LYU9cPPd+79mKaHo2G47LmzIbcghxFklVwnutfTFOFUkWDfin0yCw9B9hNlpkN2XSpUBJl90sA0ySSzkNMxkKajzCAjzHKaIsYuQWbEWCXvUQU+TZbpb06Y5WG44E4XSt3A/JEpUS7EHC8oKU8kDYsIspRbUHlqIQHBZD6bEvSUn7LMwfMEgEQo2JJluB38aSgxLy2IMu2HTObzf8qIMe4DbYPIsmT/siCM+F1EAuBP74+Gn979Dbr27UCV9DCijES6oTYOi2YsgZsPewD2P2MPuPjJM2jPsGx1NCsC7bq1+ZdXpYGBQXNEsyfJGWvQs3GPowWXW/Cs2TpW1AKXKdLdN1Yek2LUsvn4tlsxI3S27VSu7uZIMvlEuFbvRypL70ejFQ6USYRYNxCfHxtBhfpilhTDJB/1LVkmL5s/d4nuBmpkso2GlsxEfTHrKuoQDexCitTo4w2x4iO8myyErgUSTiFztOD14qtrA7OeM0kybG6WzmvZ4zZ4ARgPUqsnwzBYbWTnZsHNH1xB48Me/xLeunsYjScbk9Bls45g2zYMPngQ/PLJH5RZjkleItlLEWTmaqGkFr6EMU2+Arx72by8AIgrsVARZF8kWZBglqCnpBWSGGvSLIkwI8eKMGttMiPHSl7ByLKHKCtJcBPJBbeAY38jIZbua/SZ4uRY/I3KiBRSXDwHSWGJrN01tGqCngdUKU+zeIzmAybVydLXeIxkD4f3CCbyUQlrb1KlHQ657hWu3MKyIJVIN3HsQMyjoiLYa5CCojb5ULqw3F3dgqmL4IVr3ySPZEzus20LHvn5duizbS9IpVI0LRrLIKczyCyr4OMZ5vE+ExsD5Yueebjrge8ZanEJI5dY8Gc1a4/TxcHtApcZJFmBrfo20UAJBH/ZjNTpPyLskqlrw6Qabdg8Vcwxg5kiYbKsQrwFa68L9XhWKQS2s7FyPU+0hjljtNTnoTFfn9OcJcytgrXjTpQVMstivwd3w6ioDJSAQpIVcGHtJpeZpiq1PHJjgnG3MDAwWG+BVfUUtj9wa9fW66b3LoPnxt8Pmw/urXWQysfY37D6JRRuyWO/4wJ4E/Xc4hhBEWRp18YcK9yCIjJhD6UXorw0HzA/gLlLuE4UaroYnIjXtSLNXCw84zjEfH9H2We46fyOmh72f+/dR1HKWnymZCRcFRlRpbdVaWtdcltG3uU58p877XjhjeCTrzU5W/gKuqjcDU/RF/0TF7bOh7LFFZBP1dMc6L1NT7jg8dPhi+e/F+4X0jP7rbs/gtqqOjil90VwSNFJMGHE5DV63RoYGGwcaPaRZAMDg/UHqWSKHA1QPzrsieHw4cNfQCwnCvG6Rvjts7GwcHoJdO7dgaLDNx/xIHWxC5LMzIItC6LZEUig/zYnzpJMN3G5EBM95IxInZyuyZ4qBKJkE6w6nSTFRI5V9Jjs1Vj02CO50LpkrU/G77XkwpPE59cjC2GwmKYMIbjMgiLHSGZZYp4M+lHiHk/Sk98pfkrnEz2TUQCRkudM/qP4qahqLf8NqYIhciekHhjdMESREbkvsjCIq0umsDaL7jOfZBeKKPMAH5uvqlQkc9ZU1sEVL50Lex6/M1y5121QXV4DLdoVQm1FHTQ2JKgKX8mspVAyeynNP/6Hv2HLXfr+dxeugYHBRonmSZJZV1GmbnKepZuu1139IV4XnT3QecEQsQIW7mDLA5dusG6jNO8KSViB9eITBbqLJF7M5AQMbuNOkgk9PcG6kzBypFDbRR9/ziJWfCRfz59kh5yOOIHG6dSYS8S0aQTEWZZunHUthZkReiNLpolU666fdJS5arDzQ6RFwq2eRs4buo/K4d1GrB69k0hkzMbNiAzdjEZi8d9i2YJSOGfgFVBTXgudeneEHv1FeWEsDIJ64/Y920Lrzi1h1vh5cP/pTxNBRkSiYdhmvwHw1w+TyUuZlmlAlidkBF6wpD360xst9kSYVYKelFYQCXST8sR3XGKhxklWoaKwNI8kxYwg0zSP7ELeQyEvQXZsUdjDNYqwAvoAZVEPdXz0WFJOFspVDS9h1ByrcSTIiihL9YNytaBzRqfBIj0y5tPhacD6OsrozXYff1qvLIiw3A1lA0fzCBmMm8hH51fee6pQiXtPSwcMYCSaJ1zSul2fO4jmxCBe20DjE36aTBHkeZMX0mwdN2kPN757KSyaXgJ9B29Kx3PijUdCyZylcOA5e//r63Wjxeo69Vir4GLBi4nwNpAVtbBbMMmhv33lhbeYfMJpVxDYLiTaaBepUJy5KmUHP/N54Y9wvV5/TXu2Tr0p8id3569jyzLFX307dighVgSEte85omI6oaElBEs1WLGSCHOgspN6nWnuUlWl28oYK7jT2Ja5YC1nsk/+YprLG3v2W7J20+K8hclM/e0hlzNi8Z+g8Q2hCFfzJMkGBgbrFbC89OfPfANVZSIyOH/KQjjo3H1IXrHlLpvBtvttRYl7qDt+7bb3iSgjMGnrmKsPhuoVtaLaHosAuxFjdxCFKtT3TTXJMoqM05jUwmPv5kot5DRFjKXsAMmvGJc65FBABJlFkily7Eng0+TYjSgjUVZ1NNxoMrewgIAGTxBih2uSXScLEfUlQmwzsozvFRg0T0qjCRmVF0RZRoSJBwtiTFJoyWGpkF4Ik/RIzCwPSO4/kWcbLErWk2FxNT0weqxC1bYm0eT3HPKRMIC9TtgZGuvjMOL90TDyozFUhQ+r7x179SGw90lDoEWbQiLJR3c8W9gGfnIVvXAZGBgYrAoMSTYwMFjnuHz3m2HOhPlUHCQRT0CnTTvA7sftBPktRPQj0ZiEimWVcP9pT8HYbya6BFeQ5o/EStykNkmQFVwyzGzdXE/kgE/X49gbYU7Td8zKjSfrqYgxI8uOhzCz6HG4KVkW63SYFZwgxoIcy8gpfqooszoeRZYVXG9kWQ6ayLGILhNplq4WaN0mkvcEWSajCUWQpYsFRY+JywoHZBVFVutV0WSMmNM4/c0kF2QJpx0siPSj/AJXTH7LuEEZLVaZgC4ZR0s53Ij8jn7sNOmTea/dLodvB/ec9AQ01MVpu6GIDfudthv03WFTmD1hHnTo2RZ+eu9Xunb++Go8VWfs2IuF+AwMDAxWguZJkjN0n/MuIT7dzmLdBswpwdM9FGdu4TQja7yydEatk8/qvzMJQTqLOVGwRqCuMzMGr2fuG2yfGnPtQGkE8+yGFPMIr+2pu07sWiaHKA7uEor00dKF+oW6GyvJ5knmsQznlN6f+rZsPSz5tZHJOXgmb21HVoO+ijuJMKN51l0Tnc9Wyr1R2Tw8G9djop4py9rvbsIM6x3WPbghdBVtKMAIIKJT7w5w1xfXNdEpnzngcpJX2OicwEkvh19b4dEcw0rKIev5dPU77WqhSDBPzNPeyNLeTSW6KTKsCDImwfkiyDQvJ8j0KQkyEmVJkgUhbvq3drZgVew4VBRXEmRBmJFsiip82N1JzzrcnowmAzpcUFET/a6g5BWCw4rwrs25t3S1UK5t+B2+NBDvxW1SN7GMAjsiAi+s3hS3R22yqGDoOl4oezhi9Oo3ZQmYrCJfTn4W6YxXLKmQvQZAbhgYVf7gwc9okUMv3B+Gv/QDFLYugCFH7UCkGVFVVg2RWBiy89iD0WDVkeF55ynKxNtW5oLA21CLP1trmFYBv8vVy1jcraiISSxY17/dyJ/hev54Sz2eYG1lvJC5MDEXi9p2TBrCmosUa4KS2czLu7ve75rFOYESi3A1kzIW6pNUyShEbJmep5FJOyKsdlYjmz9aqfczj7lI1bGCIwC6vU4wBwyLEYIoP29cNoovnhKUUCvhhDI4XYAPvK3NUNwr03XE29w0b3PXAZonSTYwMFivcO83N8KY4eNg16N28Ez/6uUf4Y07PoQlc4XLRTqZJsJTKRO23AetenAHyil8LzT+xD1PWWrufKHncQmxp7KeIsC6cIhwf+CfkgSrcT6NosoqeuzQd6IQByfGahDfiSIfPGouCoDod3Id6RVEWc6MfBST8JAFk8hYF8ITMhIHrKSI4rqaZL1GSY6p6LSMJgsHZPybeCudF0HGyYsZY88qkkwRZFlohFbkcxuhin5Mb9ykEp9XkkHlqgGge78u8PB5L4qDcIXYAMsXlLnzjv58LHkoY6T5nAdPomXH//Q3XLnnrSTLwCp8xe1a/Mur18DAYGOFIckGBgbrHB16toODz9vXMw2jfQ+e+QxJKrLzYxCJRcnp4sTrj6Cqam/ePYzsv/wRZCsgguz6IvvJs7uQjBZbAVFkuQ5VPY9IJT45Pf7IWlrhJ8giyqxJsooYkx6ZkWSSWIQlIUbCicQVDYslS0WCjFXyRFKdIMds9z2dV0LhgLpklFogEZWRY8wqTEmij9NkgqC3EKHUGzMLZjfe42CkWBNlXKeIXAvSrALAaLuG/sSUpIP6Z1k6UMgtkFjjNBU1llUNeRKfIsvqdyJ9sohGkQzDsmDv43eCv3+e5h5zUdsCiGVFyc2itrwW9j55V/jmlR/pu7yiXFeLPOuvuXRNYYLolNEzYeQHv0LPLbvBkZcf9O8uYgMDg40OzZ4ke2uKZ+gyZ13vVoxJJ3ht8pyVdNslWVcDlXFVCzEXizotgUgUsuxfhvrWrBuFNZCNhcHjvHuI9xtFSvV6kq31dh3WJZSM6vkTJVryYbfUx5xM6P2041agnCNUo9eZxq5ytTsYzVL7w4KCkVq23XzWlVMRbA7vMTxn59NixVyAFQ5wlpcF/2bcgWQlBuKmgMiaRby+Ee48/hGoWFYFR1x2oCwQAtCzfzfIzs+BCSOnwkPnPE/TsnL5Ba7IsO+X01YNTf2SVWU9Hk1mbFEQZOlk4XO0UFZvWm/M7N4UMbY1QVaDcL4QUWOSVhDZRqIsIshiwDLPYhxJsrBuluPEayVhtrDYh/dwxa0hyCgRZUlMkRynkRTjJUsRWu1fjDZv4sUAg8yiJDUWEVGuFqw2iSDAYEEIZRNUeto10pDyC6BCJBZ+p4qMqEizIsakNZY9sB6JBYvo473lRpNV2Ftb+BW1yoOZE+ZBj/5dYPZ4LGHuQMXSKjj+ukNh2KNfQrw+Dl88963wSrYAaitqoWJ5FRS1LoD9Tt8dyhavgBbtimDCj5Pgu9dHwncwEnY6fDto313IMZo1VkVGlmEeO5YV2E3usOerR/7G21bueuGXMHLJIrvHU/msW54VzkBZjzsdfb3V/jX6NPwS9a19EiyJ2g5sPXlM7qgsGLEdLNf7bbF5clpo5wePfXuDbo9SlXr/Gzow2QNbv52MBEsWmSSjhioXCWRV6GXr2+hlc0rY+eQykkLdDoYWMslLU2sgAU+ibYZ5fOC/OR/nMkfenq6SxGItyR2bPUk2MDBYP9AYT8CkUVPhl4//oL9LZi6FnQ7bFmaNnwvTxsyCJFZfYw/urpt3hOlj5wkObFuQXZAjHC58zhXeXIOAEtRIhFn0mKzfPJILVgGPeR678gpFliUpVgTZJcaeSDIjyEiIKZIsyXEYCbGIINuhNNiSJKO7RAg/hdgXQiFBjgVZlg0eb4QlOcb3C8exKaKcdmxI4X6mbUglUXKBBFkU8KBj9XrKocOxkFNI8utWi0YSrPLw5HZwn/HYxO4J2QVOp4C+9GomgkykWJAcKlmNbhi4Il7KT4XEWeTYUxRG/l2+rAo+fe57Oa84Hhx/446PICptvlQxEQQ6b4z8cDQMPWsv0iGfce+JNB29tz9+YjjZxbVsb2QXBgYGXhiSbGBgsM4x7LEv4cmLX4Tthw6Cfjv1gcrlVTD4kG3glVveI7cLAdZTYFsw/Y85btIddusTQQ6IIov8r6alqcmr1zNdyirIjk0VFZGloyWRdv2OSXKh5BWcMHsT9JoSZEdINSiKLKLGSJQtGUFW5Jg+rTSEcdxOQRiJM0V400SYxSEgkRWJcFoSoSPIYrAhlUbCrD5DRBixlDeSZVdCQmoIqR+mdwNBlIW6mCXmSaIsPJeFtgJ5bojkG8hVhcyCIsCSHLvOFZRYi9pkrxOJR+uBG+AvMAiSX6C1XFNdchP7OAxA1govO6y+t9+pQ+Cdez6BxbOWwAvXvEkkmQOrOA6reJWS+EKr6ptuYGDQbNAsSbKnyzyZCMyo9MzPJRaNrNufFanw150HXneeg0kOeCZpmkkCeBdJY76eP2+R3vaKPqzLhvU6JwrZOkPBcgtVRQsRydPdGl266Sog85YXu+PZWXq7fVrpMsF/Z+uuybpKli1bEg3MzE1mB2fpcuP0ZBY3dWfHws5brFyToVSxtvNwmPQiPH95YFeMJ0uXGdT74ekSYr8TFUNQ01mkyuDf4ddPxxDfweS9L+rfJBI05qtx0LZrK6qy58omMvXwIWlCF4WALkIhsw2QWrAaGFyL7EaXlW+yklwowqwq7kkXjECC3CRhTxLkiJRXRAQ5VtFjC0lxWJDkcChFRDhkOzQeluMhOyWs2Kw0RIjXi1Q6dXiUqEeE1oKUJMkpJMn4mbIhmQ5BMu1AEscpwh6CFHkiiwQ8dQ6E4Zs4MUSUSYcsiTIGflm02k4L2UUaJ4SlDEOeH1yA1kcRa+mPTPYZaroFDlrRqfNO4mg345DJLiRL58l9GbPoNeb+vYC0yIdeuC88c/lrJLX46/tJsNXu/TzzZeX4ZDvNHaspscgkQePFJLguiHex28ypghfXIrDnrlPM5mMI1bPueraNRCF3eNCo6cj2lbWPtR1Z+8gOP1Wg12/h/SpR1FJrBNNc6hDRbWV1vZZhtCvUOolQgd5ANZNWLi/TThStW+qGc2la93Ck2TkKMUVCKBFcGCVSq7fVWMSWbWC9LKzYSrqVbpjt5eWBchcuZXHKKzPehx45oqfGzCpINNYj56hmSZINDAzWL5x6x3EQy/kAdj58eyJNmLD35Yvf0/gex+0Ek0fPhJLZyyCWG4XGet0iFLcvghXLqrQ3sj8Kya3f+HS/TlnNp0iwStqTg0dqQXxOjnM7NyWzkNPTHg0yEmPydxQR5IjUHjNyHAqlIBIWkeIIkmU7CRGSVqQgisQZZRcYXaaockpLLth5VJphlFlg5DjpIDm2IGmHIJFOQzKdggSO2yFA5ydcPmWFXNMLDBNjWp4uoSmi9Mr/WOXTuZITknTIT3w5SKHMgjteKP2zsJ8TWmVL5CQoYuxW4VOFRqT8Q+qUif/ztwAObhFHhE1Eq3GfsRLf+w99Do+Oug0+evRLWDRzCTx01rPw6oxH//Pr18DAYOOEIckGBgbrHL236QW3DrvK/fub10a443OnLBIEOScKbTrLyLKM9q9YWunLikHySf38YGHPgsfpguuQeVe/19HCH3X2RJClFMONHiu5Aqugxy3elHuFR2JBBDlFkSk7nIIQEeMURCMpiMjIMZLiCMosQimIkuwiDWErBWGUW1hCp4yDZQn5gg6yyigyiE+UVySIKCNJDkFjyoawHYIQDWFoTIYgYTmQlE2BiNlIokxvBsIlg4qHKDLscGIsSDSeC/JAlqRYfIcLy/ND2mXxnYocK6cL1zqDJ1lSZDtDQRipWybJhdIky53HyLRexob6GpFojBUbhz2O2uN25IwS4p7qBgYGBhlgSDIH68rwyCrYLFau1gxYWSwbl3ct0bpYXw57IKezdTeQxbrreTERXlwjwkzO69rqbaSCDTC8EguGnA66e6iuXEtBWuTrDNxOubrrBDWMCgvLdBfMnws66cNCPaXazxx9vsK9tRwiPkd3IaWRHAS4W9SxM5zM0ePZy3k9et1fE2+t9z9Spfuc7Ho9nm6t3S3s5axLiJnSeyJw/i4d9vvz7l3ehWScLv49SmYvJb3oVntsAbWVdbBkzjKy8Eolk8ST2nZvDX226QWzxs0jMrZwRomOcOL9owiS6p7nkgr+C/sJl/I/tjM5WygtMrd/44l7XpkFRYxVdJW7WeDfRIqRIEuJBUaQMXocTkM4nIZIOEkR5EgII8dJiNppiOE0G4ky/u3QZ8jCvwVJRhpLCX0YNVWcn8xzRGyZCLITgqRjQSIdhkbHJpIcscMQT+M6xPKu9zLeey5RFpFckhnhQeGxSM9llyCnWCQZI+0YbXYjx44k05IYy8p+9Em6Y/EyoiL/SnohqvBJOw1f4RBPBFn9Tup7f9c8u18r5L1/7DWHwidPf01V9z58+HM48rKh/+2F3AzAu8nJcURND+s2LR1neQFsusX6223uPLQy8GIi7NmebK3blFQOLyair4H6luzZzN6H4kzml2Yqm1i5Prb6TryIlR7t1FE7I5WU6WMY0HmRO16T0O1LY0rvQwNzqBjSfoY7PnzBZu74ll31euaUa7ljUTst1aiw9LFbCVZETCarIqIVEFjYK3sFa6PY/cSLsHAphcdRJIfJLbgMw1NYZCVyC9a+phNOsGyHXS9cBruuZRiGJBsYGKwT1FTUwpn9L6NiD6fdeRwMe+IrKFtcDlvvvaXbXb907nJoqG2AS54+Ax4+V1i/EXzuFBnLUPO/g8gzW4eQUajKzupvXYHP/d4tHa0cL9h0T6lpKbNQ/sfKwUIR5AgSZBE9RlIcRYKM40iW7SRkYRQZJRc4kA4ZB5RdSOmFpLNImhFIjsnyjciyDUmXJIeg0QlTFDluRSGEyXuA0eiwTP7TQKIsLOPwDVQ4RhDhRYcMrNQnyS69GJDVm0zcUy8J/JyRnFlYY6j6IeqlQ5BiX+Iej/CrSLKyfSPPZZlbEaRBZnKMbfcbABVLK6kE9R7H7gTPXvU67HvKEJmM2FQTWb60ggqLxLKNNtnAwMALQ5INDAzWCZKJJCRkFKNG+tgisAJaXotcqK0QvRzzpy6CP7+bpMspM5KLZarRqcETTQ4g0U1cFGhhr/2b/l6SOc/3XHLhtYELJMjSA5nbuxFBRo2xiiAjKSZyjCQ54ZLiLIoiJyAbybKFkeQkxEJpGo9IyUVYSS4kUUaouApORR1yygmT1CJu2xBNR6DRCkM47UAoFZb6ZkU2pd+xjEJrf2VhT0fEGOUNSJRTmhjbGE2m6DCLKtM5khUDcYcoyiw+ieSS84Ujo8YyGKxkyfz3UpFlNY1HuDIl8Mnvxnw1Ed5f/DSUlayAM/tfISdb8OSYu2Hx7KXQ2NBI1m/obDHqo9Fw6xH3Q3H7FvDilEcgJ9+UqTYwMNAwJJlDFi4gcBcDXmueGZk7VToD1crXBTfkjHq+bN0FYzforo1Uno5cJJncwmK6uoYiJtVgCbtJbergRS7L9k3qZbsXa+eKyjwtseCoS+r9LIzpbrPu3We544vrmIyBOWbwrqW5S1u547EeuquotlTvdLRUX3pZpcHFRMINbP2Fev5oVTK426hSH5fDZBWerOk6Ng8zLLdY15JYLU8XTq2WrMLIMDLj10//gBljZ8OhF+0PRa0L4aERt8G8vxfA7sfvDFvvPQAm/zYdhp69N7Tu3BLeuusjWqaqrAbKUXus4DpTiKSuVQaRKk2eZd0NXwRTRGSFn68kj4o0y0ioS4wVWebTuLsFRY/Vp7B5ExpkTNBLQjSShhgS43ACssMYOUbCnIBsOwGxUAJiFE1OQtRKQcxO0GeIiLJM4COf5DR5UZABBDCphW3JSLINsXQIGlC6kY6AnZK6ZnSV8GXBCTmFKj6Cfm6471L3q2QVSP5RV0xVAZnsIqXJMclQcFY3cixdM6T+WIxj2WrpFuN/iQmSyVBvgf5tlLzC1SWLE0C/MRaZsUMW3HDwfS4D77FlV+i+RReYNX4e3HPS47Rsi7YFsPPh29F+YA8GRZQNSc6ITFIzXvjB4xCVwVLPQSlVwHog4e1id4ryAqWJdlwvn47q5evaxoIdKmLspZo9jhuzWfvSkrX3zMUiVqjb/tbZutBGrI3eh+mlrd3xa/oOd8dHVW2i52cayuKwXs8JPX53x8dWdnXHN2MuUpOXaxcpK8oOLM76gFhbHGq0AjlDY56eP8J7UxjfEAmyErmsSAqTZHDJIudAGYuP+KQU3CGKg19Hq9SGmmIiBgYGGxPKl1XCTYfeSxHhuqo6OPvBk2Gz7TahAYHWXMqea9LIKe5yuxy+Hfz4/m9Q2CqfyEx1ea37PisqqgU4WsgHvhudRPBosZquiLFHXiGr0VGSnv6OFxbJGEmmZaQGWVbNEwRZOFlgkh4l4SFRtjVBxqhxVigOWSGMKCchG6PHNo43Qoy0yAmIEUFGPXEKItIKjiQXrKAIKhGQNqPcIuGgzMKGiBWCiJOCRopCR6CeCLK3UaEpsuhI2kmBE8ZodFqwXcl4KZIvI8I0eHTJKpIspShqPow0K50yRpEtZgHnSfbwlQvnumN3HunX581UVAfgrueQ8/aBSDQMK0qEOHPnI3YghxTEhBGT9fW4pAK6bt4ZDrvoAOjatxN07NX+/3NZGxgYbMQwJNnAwGCtIDsvC1q0KYQVSyqg46YdVjrvjgdvAxNHTYUWbYuInKLGtGxxhUgm8ztQOA4UtMmHqhX1nsQ8T1yDa14RKKLlQUuPHENGQKXTgooap3nUmGuUXXmGlzSTswVGTzHBVcos0OaNHCtciYWIFiM5zqYBxxsh226ELCTJSI4lQcZIMg6uy4UkyCi5UCAnZdQhOxYkAZ0tUHIhkvXqrRSRYxosEQ0SvsoiCi28lVXRkRTYYaFDFgRXaouR/KZYkp6UXLiRd5yPzg0SYXm+6DQqcswkF7ggvkRI4usWffFrypVfsj95zy+3kC8Ln7/wPQzYfXPYfujWdL1hqWqF3Y7ZEYa/9AMVVNl6r/6kWc4tzNQtZ2Bg0NzRLEmyx/Cc1ZrnxUE89eVZyMPiDhgso7qJuwXrzrAadDdSukB35yVZZq4TCe6qSGaoSWIzI/FkLqvzHtXHFi3QXUVTF7dzxzu31tKL3IheUZj1ReWE9fSGlD4vF3X51h3/q66bOz6itJc7fkxfUVYY8fmCzd3xOrZvCVYkJVHlLYkbhJA+FAjXsu6kmO6WaeyiM4LDVUwiU1EV/FsWFmTs6vNk7bJiMhZLGsqUvWsQDCza8MLkh6GspBy6bqZdUoJw2MUHwHYHbg3L5pfCVfveKSZS+Wmskte0a6+mUv7esrte9D4yjbL7Hde0+jbKi4ow0ktwo8bMSkKRY7xUlMMFRY5F0h5lxGE1PVlmWkWRUYeMemSUWmTJRL0YEmOMIIfikEOSC02SsywVRU6IRD5wiCijXCIsu1mVkEQl7eG3GElOOElodEIQggiEnKjINZSHgCSXaDOR4xAkQ0myjEOJBrrb4PNNWLxZVCiEXCmQIOM0NB9R50dWhaZT7ZOkuOdKSS4kWeb+xno6+534b6VcLGyfJE5JLfhvCg7kFmTD1fveSd9tvsOm8M2rP8HPH4+BM+8+gXoq3it5FqLZUchm3ckKcybOg7++mwR7nrgLFLTUTgIbDVa3i5rPz5CpCzzNC4XwZyiTYfCCThBhegBfMS/ebjpZkWC3IdbORmr0PjW0jPxjuxmp0cvGmcqmJXOTSCRDgc4VV3f7Us8f0vKJh0r2dsf3LNa9Fn/WaCnFbnm6lwzvPYUctnO/VvTU+4wVfCSy83S7Fi/Xx5gsZMee1Lwim/3EeSXpwHasob1+SYyVapmlXc1OVgNrgONMXsNkplxGQ8dW3xDIrZzGVKCLhUdikaFA0LpoZ5slSTYwMFg3wApoOKwMGGlONiaJVN95gi78YPltv/QXonF2k/JUd37AC5fP6cLji6xkFYwou4VD1N8qmiylFYoou6RQulq4nyqKHBIV86hgCMoscJAaZCTCSIwxgkyfdiPk2HGXKCNBjlmNYhkQCXyoRya/ZHVYkiZjE5Ky0NnCgpRlkatF2AlT1Nl2lGoZgU7IKK2wqZogVeOzbUjYSUji8iGbqvShdhgdMMQxyQiyOn4pp0D9tXKD5OfBjS7TeUT9tDeqrCv8ORkkFl6tuDuNFw9ROkoWsFi+SAcBUJrzwrVv0irfuf8T6PRJB/jqpR8gFAnBYRftD8dcebA7bzqdhkuH3AQ15bWkjb/+7UtWep0aGBhs/DAk2cDAYJ1i9oR5EM2KUHTv0t1ugWXzREnxbv26QGWp8Pd2bbv8Vm+80h5L/HK1yH63CwmH+/HK0KrriSzDsppAs6ixHPcQZg9BViRZapHRgQL1yFRaGi3cHLJ8U1ZvUSW3sFGHLGQW2USQExRZElKLBGSjDpkiykKPLAqKiLIfdHjyuNIyOoVlp9HZAr9HgoxlrW10qHCr8kmbuJCIOOO+YAQ5SsVHUhAm0pyGVCgNaZSmSMmFKDGtjldGd3n0WEktkPrSd5IAUwlqSZBFEWz5UwVVSZQnGtevErYkeaZEPXUUyh5OOZBIcs3TOedPWQR9t98EpoyeCa07F8N793/ifvfqze95SDKuJ79FHpFk1L8bGBgYNE+SzLp7PBmVLPRv5zCdA3e04PP7uoc40pmiZayryGYZuw7rzajuqdcbljJLRH0bPZ4oZDrEXN19kZuj96++VssE+nRe4o53ztFu45vlquIM2CbpdcZZWuz0Op1dOzimXQZmx7VTROdcvc6ljVrGgNEohUi27o5JMM7SyPaTG7xz6QU3hE/kBWdN58wsC+6eY109nm4j1h3EHUyaSGn4HmXKuuVuJhmmG0lGU/z57QS4ap87SCN6wvWHw9I5y1xCvGDaYvqMxMKkjUXY4RAkE/L8Imnicgo5zU3Qc/9W+uOm1fRoFr91siLMROZkJJSmS7cLFXGmdTCyTJ7AMkKqiLIklkiQwyEHwuSBnBZRYTtF5DgqybCSV+Sg/ZuKJFtJV24hNMkYSRb2bdJgwo0mk7kDfmIFPceiJL9wWhceQaKbJm21SOzDUtVJ1CzbSUiEkuSnjPsUl1X9sFgQOu0gwXfwOkYpidRbWylNjJu8QPjcQLhPspqmiK2b6c69kd0iIhkuGjdZzzsDXieJ+oR7fSjni7l/L6Tu2y+e+x5adS6G0gUr6Ho74Mw94Odhv8M2+w6A37/8iwqNXP/OJVBTUQdb7qKLPGxUWN1nUMZiD+lghwr2vOPTU8wFIVTACmKsbNv5uYGOT4l83UikYnp7qWw9brOCFfWt9Fbq+jEJwArmOlWg2832eVpugdUvFTqydvOvei01rExqrUb7LN0+Dsya745XpDSfmBrX0ke8pxWKQro97ZkrAgWIBTW6AsqC2hbueFYXfU4j3xcG8gReXIy7W+QuYYW3wkz6WKTPbaiGFYbh7Vh2sAOMVa0LltHyrBgM502Z4JFY8Ot0HbehzZMkGxgYrBeoWCYapHQqDb226gYD99yCon9VZdVwyAX7wty/F8GYr8ZDVm4UTr/rOHju2re90UX1ya3CMja9rCufa2CV7ZucxSXPXH/MSLEbRWayAo+G2R2kHpmiyJIoy4Igqux0FKUU0smCiDISYqZDRqKM0WMky4og40MbUxg4QVbckjTJVBQES00LPaNFAmIhQUnbmIxnQwqlFahZtmzIskPQmEbyHhaa6XQaGlFDjZ7KtgP4nkuSCzpO9RKiXiQk6eUJjL7Iu2u855JlfNmQZ1xJL9S5d3XJSmjtk9i4LztNSXICNaxeNQY5XaB0YvofsyCVTMG2+wyAL57/nlbxw1ujYNijX8BmO2wK08eI72vKa+D6dy5drWvYwMBg44UhyQYGBusMQ44ZTGWo4w2N8Pa9H8O8yQth/9P3gO/fGgWTfp4GFVJukWhMwRMXv9IkGkxFLnxEiqYxP2QPMumUufaVEzFGBF0XB0bkXCLIE9VUBBl1uESUkaymiCSTv7Eky5iEpyLK5IlMhFkT5WwprxDRZEGQoxYAxvPIslgepfLxwAgyIoUJfRg5crXKsiKfhcWBbUhZCUhYISLhcTsCkbQg7pi4qyzmcNxGgo+yDtuhxDyhSdbHa2VI0ONEV8kv3OIgbsSYR/a1XR9zsvYm8snf19PDwzXM/EVJztOzf1c4+Ny9qeAMFhCZO2kBfPniD3IWBypLRSRuyq/ToeeAbjBr3FzoI+0IDQwMDJoVSc5UF9zmXQeecD/LoE1kmJ934/Osa5xvme6aSbfR3SXpGHO0wJZOIpnLMoF5O8DHWS9+qJZ1LbXTmozcmO7WyMvS461iOgO3bUx3J3WKaonCphFtYP5ZdX93fGjxOHd8TFxns7YO6+6ePky28c7crd3xLkW6zvvsspbueHpZTqARepqdE+5okV2mDz6FTCEgGzfVUu9bSFZrawKeTc0bXP5b0rlOB3cV8e6eTF1CRmLR1B/5kHuIzN768VVQ2ErLcWzbJmu4B8542p323gOf0rzkc4vnEvOy6Pfw6yKUxtVbbc+dliHS7DrP8HFO6nhUWXknSwIXSJADpqloMkWSkXiiWoH8jlU0GavmOaRRpkIhFE1OU2SZosskrcBPHHC6JsgRy4KwjJgjQVZXm6DDqEHGKLIDFr1ACNFIGtKQslKQhCRFj0m6gQTdwX1KQsSJiGp+RJaFPAP317ZDJLegBxGxfToLjBBryYqOLEti7P5c+De/V2S0Hp+3HpkL+5343+w+FRIKdbSMQCswqcaA3TaHu/73OEWROQ48a0/47Bl06RHbyi7Igsd+u5NIc6sO2iHHwIcMzzveTU7XiprOnS6ymzqJEMJMD+CXL8aZ41BMP5/tRnY9sOY4XsALb3m6ifSyS5hUoxVbf5Xe9sxSXQyrRa5uW7cvnu2O94pp+eL2hUvd8blJfZxzE8WB8sWiqG6bNo9qWcWH1Vu64wsbtKxiq5YL9W7G9forKnUbWreVPpbI0khgG5rI0+ckXqTnCdfptjVcy4qRRRgnSdiB7hYenuR3t2DSRl4KPmNxEC7tWY+KiQT7uxgYGBj8R/jjq3Ew5bcZMPnX6TD26/FUde/sgVfAsMeFjdL0sV4Sg41ar626U3TPncS73P1aVY/jBYsKB5Envryvu57+ZMYKHnAZgIqcKtIso6zie1lEhIikIKkYURZSC/FJel8QnsdYJIS0w1RNT1TV40OERZCxGY9aqDW2IQw2RHCwQhDmA8jvLBwsQapxOcB14LrUkBQRY1XqGpJE2mnfZLQbdc8UDVftkdRb65eHgPcWbbehq+O5RNk3r7Myz2P28hMY/ff9hr7l++/WF868+3jo0FPkU2AVPsTQs/eCM+89kcqeI0LRMFV9jEQjhiAbGBism0jyE088Affddx8sWbIE+vfvD4899hhsu+22a2PTBgYG6xiYGNV3cG+wbQsG7TMArj3gTurafvHaN+GQ8/eDo644CBrjSXIUyC3MhsWzlkIsJ0YlgpH7zJ4432vn5uFMSKIkM/OTYkrY8y1Hwl1tP+Yhaoz0eTwjeHSYb5zLMYCRSBVFliSTZAtUQlok3CEJdeUNIIqDRACjxYrAir+JHEuSiwNGj8NEkC0IWSEZRdZFUyhijLpjiiKjlYQtY8gO6ZTRNi7siG1gMZIwul7g/hExxki33j+V+0gJf/I4+HGTtlgdNyfO/mg7/6kUWcZiIui3zE4v9032kGbucBEEP8GWkefxP/wN/+t9ERxwxp6w/f4DoUW7Qpj511w4+Lx9IJoVhbcXPAVPXvwyjPxoNDxz6ctw26dXQyzbW5rewMDAYI2T5HfeeQcuvfRSePrpp2G77baDhx9+GPbZZx+YNm0atGnD0jDXIjyh/AxuFbyrIMSLTvDuoUbWXZPnq/rBupcs1m3k5OhujkQek16w7ohwPTP6LmbdFGzT6ZieJ1Wmt1UX010ebfK1HGJQ4Vx3vCal5+8Y1nKIkXVaj7d3/iR3vCKl+7TaMYnFF5VaktEmqiUcxTl1gdnBRazrqiRbZy6H6nWHRpZWf0CaXZ2JXDZPqT7G+o76vMdWMJNz1j3HCZazaElwwRCf3MJJNQZ2G/Jrx1OPnv1+3DHFSC8AiloXwiOjbnf/RuKyeEYJHHDWXvQ3EmKM9I3+/E8oW1IOpQu1z62SWyDQwmv5AvadPO/RnBjE6zFpq4mqlSXqCRszCIty0y4UMVa+bxBMwDnZcwPOHqmAP8Ctoq5IQgVhRsqKg5Iz0KAiy240WRJYGhekFet4IIklkiwJckgSZJt3e0uJhdAgo/EblgqR+mVR40Rsy0mRJMNPlGmQVfwUwXcVKYoUKxlFwPGrTzEfm+7p+VYJe/o0NTnzXJTsesWpSb7MPPn74vXTgNn4TG6xdF4pvHDtW+SJnMJ72HGgYnklnHH3CeRg8cVzojDSX99Pgul/zIYtdt5IHS1WFxmeWbzb2+NowRdlhZe4BNHiMjdPEaYMjgYI1h477Hnu4A0RIKuI1Op1Nebr6cxYAsL1erq1VK+/uL+WPSxdrOWRLVuVuuNlCe3K0S1Pt48tbd2ejklprjCUtYM/1+j2DmVUCr81dHHHt8me446XJ/T8hcziqnuRfv6Nq9btcqhMN5ZR3aR7wEw4IJmlz4PNrKa4KiqVr48rtEhLSqzWLQPdonihtSbF2ZgLES9kwh/GXLaTsZgIx1pqT9e43OLBBx+EM844A0455RTo27cvkeWcnBx48cUX1/SmDQwM1kPsd9oe8GHZy3DancfT35898w28ffcwmPr7TFi+gL0lAUC/nftA+x5tKcJcvkTr/AmUyAUQr1XV9tx/PPM0dUjwMVpOxPwaWd96m5Bjz7Z8A0WPFeFkxJPKeMgIriLORKKFDEN8YvId6ouVi4XSH4vYsSLIQpms9MliGsWYZWIfRp5peRkVDrmSYLEP4hAVgddkXiiz9ff6RMlPvw47QAXjibKrc6jOfZCshRHnwDWqXgD/74ttdV1TiylVjS+FlnBysfce+IwKhqAvtypq032LLtB7G13hzMDAwGCtkOTGxkYYO3Ys7LnnnnqDtk1///rrr03mj8fjUFVV5RkMDAzWH6yJexQt31xgxJMljFz8+Kmw94m7QG1lPSSxnClLFmuCoOBDk7LFjK/xZfzky78616bMFy92PZS9y/JtiEFElNWgI8uqJoeonidcK+S8SrlB45IKW4IsWxms7qzA78Rfbi4d4/6cHPuVKU1Os7Vq59wNDjV5EZEjPLrMi7q482bQkvsT+4J2wf0+OBKFxHniyKlQX9MAV7x8HhS1EZG/ssUZwm8bGEwbamCwAcktSktLIZVKQdu2uhgFAv+eOnVqk/nvuusuuOWWW9bIvnBHi0yG55mycT2SjCzd5eLwrgZepAKRZF1KBdp1gT/keYGMVExPT2azriKW8MvnT0d1I1DYWRuYNyaCf9Kvl/V1x49q/4c7PqtRS17yQ9opYmvW1TUjode/jPVdtY/q6XVpPX+7bC3JyA7pc7egqiiwmyVSYwUaoedrL3ZPFznvbuPdRlkJ1jXIDNK5TsXKyQ4uElOj3T/833nqzvOiIxkyvD3dlRsZ1sQ9+vWrP7nFIDr37gh9d+wNnz/zDTGpp654HUpmL9WV1uxVKDKByJTs5SfDfoLm/06u15I3n4dY8/V6xkVFOa4W9toyaxIMkqiqaSiVUKSaB8aVZFpMWpkXtI6gBs2jjSGEOZxOfFOjcrrnMIP0FU0nuaO+XLsmAX4eSVbfBeiK3cIw2G0f8BIjD1Zro/kq8bmeQjM8h+Q+FcvKaSYsItKtbydyS8EeDPTpxuH1296HK146DzZ0/Cf35yp0Y3OpWTrOijKxAk02l0uw9tFuqZ0bIIvLM3wuBqzdTbXW7W64XMsYUlm6vWso1s95ZiYBNntk28yAIdlGXzVllVre0K+XdpPomKPbOHyRVVjCZBWLkvp5PzhLyzYA9Do3yxaFkRA7xHTRjSNn7O2O9ynQkobalD4vPy3r5Y63ztbtlJNiTxQmv4y3ZAEBrRYBpvKA/Pn6d2poxWSmrG2NlGuZh9VGO35AXX0gz/G7W3AnMI9Ux2aFTBr/WcKD6RXrEutVa37NNddAZWWlOyxYsGBd75KBgcEavkcPvWA/Sto7/a7joXRRGXz3+giI5USJLI39egKUzF4miZ+oGrdSv2NFl/zRSEXM/MvZ/nm5mkCQXUEcNZkMdGjw/O3dhsN2gU8UuyNLNHNOHkQ8PYuK/4LAp6tx9SnotzpE6aBMiX7iuybfS+KsDSQyWX8E7oj30x0P0H0HIcgOTuyEN4nTXY0vsZDZxlUsFQSZzkEyDbMnzIer97kDdj9mRwjJl2lMKPWuzqFrMZ2h8ub6CtOGGhhsQJHkVq1aQSgUgqVL9RsSAv9u106XZlSIxWI0GBgYrJ9YE/foWfedCP+7+Ug4fYvLoLpcRErOffgUePOuj6BqRbUObAXl1imoqKOC3yuZViIjFVxi4bEhY3piSehcdYXLwbyRbCVj8ERHhSFEU2Lsfi2IqSDPQtSrplFcGZdTJbAZv0/LKnvoVkHcnpbyE3LxX1oNDn4CJPH9gpFhfNcQn0iGbfmJ9T7wU03XEWQxLgd2rNL8InN037d3/vk8e+9/sQlag/+kBtnH+Yg5Jg25pFn+totmLoGK0mr4ouEtiNc3Qnau18f3qUteho8e/QJ2Omw7uOn9y2FDgWlDDQw2IJIcjUZh6623hu+++w4OOeQQmoZv5vj3+eefD2sTGbNxM0zP2HXLje15133Edyq5IwJbV6hG9/3EWKPe2EU/2BJstdmletm6Tno8naX3o7pKLxDJ0tvtlq8zYUcv6uqOzyvWXSedonoeFUlCPFahs27TTOeBCT8KhazW/MTqju54cVR3CX2/YFO9nxUszThf72eiQfeNtZwIgVIKLkFpUGQHlSxzdbdROisUWHfewsQd9wsmr2lg8/iN7Ln5OZfV8OuFyy08GdsbVvRpbeO1W9+DDx76DE6+9Rg45IL9INGYhAu2vw6WzSslErPpoJ6w36m7QVZeDB4841mZ7yXYDREexR79EUVkfli1w++fy63gmLzA+ykIp+uV7FqcCVJGZJRFmV3ZRSYVAM9DUyRYElFHEVPpQ6EGXAiL0lH5aBy3+PeK9IqiHvhJyXo+dwskkWo+Yf3miHXK9SQcUXUvCRakHBvQ54Kq8DkhIsg44H6m04ws82NV58D/YuA/Hzwi707HPfbeG9KNj4eAvV/6xul3wNnwoPwr8ow7rgQKXVHw2iIHmjRAOBaizfTdYVNRzMZHkBGTfhZyQPT2Nli5fDHTM9G9F33P13SZ1n/bhVpGAXlankBgz1S7nnXRM6u++ta63c1ZyuSSST29qitrR1gTZCf19Owc/YzPi+ht/bVct2t7dNTXwqT6zu5424iWZCxO6mOLhXX7cmK+1j382KDb6/3bapeMT0p0MZFdW890x/9s7OSOTygrdMdTdcw9Ik+fq4JJ+rwzYypIsGOv6ayv+dgKzlVW76UVWKE1v7sFlybynp1M0sSMRUM2dgs4tH876aSTYNCgQeSNjBZwtbW15HZhYGDQ/PDpU19BbWUdfPrM10SSF89aQuWoEbmFObDN3v3hpN4XQTgabsI4iRzxiDH4CXNAuJm+x/rJTNigxgO1ssRU3XU1EU94BPLigwrSqdUyfu4wsknRWzVOnB4JqojsCsKKgyKxOI4mbsLjGD8tJMZoBecAYPuOmmdFMnkEOeWI5RJOGpIOfiI5lgTZCUHCsSHphCFBgw3JtEXbw3F8IcZ5xP4hWZa8VUkl/EQZkfZHlhlTbiK3UN/j8UhVhTsPK1utzrq/CirxaDkf7lw6rQvNuEmabBUOwLL5KzyNcyKOrwgW+SVjNchnr3gV2ndvCyfedKQr5bjkmbPg06e+hj2O37npBWxgYNBssMZJ8tFHHw3Lly+HG2+8kYqJDBgwAIYPH94kmc/AwKB54NQ7j4ePH/8Sjrv2MPq7bdfWlFCFyVTd+3UmmYWA0KW6HtQq6iDLGdvoeawiiixS7FIsj+UbC1n6oyWsC1/EfH3RU0kCXWkB7YM/mqoIpArbIilHAscjsoIEJ2XEloZ0CJJ2GJIOklSM5gqyGpXzJdAXWVrBUQ6b3CEkyhSdZqEfFUVGco3kGEtTY5wH40S4nkbHhkb6DNGA2xFDCBJp3HYIkrg/jgXJNJJljNrLAbUedB7UeRYykYCcRfmdW9xbJj4y8qzmIY257wdR59DzZuT7jdVLjtQti7w//maS+dpTcg28Suqq6uDXj8fAt6+NoO8GH7wN9OjfFa474E6Y8NNkOOHGI6D/kM0zr8zAwGCjx1qpuIfSirUtr1gZ7Jyc4C4BFu7nBSFCrBuIZ+965BZMXtFEfsHrmzN7qxSTB+Qs08uH6/X0uja6OyK7RDdJdb3Yvib0/A31eruTstu7423ydUbttNq2ga4UVazu/K4F09zx4pBets7RXV1VrCgJL1YyYoWWWDQm9b7ZEdZ9FtLdL3ac7YNWhUBuiR6P1DKZC2sEUzG9/uhyLf9weNGPaj2dw2JdPel6lrFLK+ANN+sC5l1KPJt3dSUWzbDISLw+DiPe/w02264X7HvKve70rJwYXPbcWTD6879gn9N2g+sPvLsJsaEIn/xNitoUwul3HQvb7LMlnDHoWqhewZxJMiV1ZcqG41HMlUgKPISYE2V1PboiY2kcLLfpsOhxKq3kDBi9RWKcIHJMkVwbySmS1zBEnRQksLKeY5N/ckISTpE+iERYlHgmKzjOO6UGGckxRZDx/nNwsCDu2BB3QhB3wjQ0psOSKEdom0TSiSDbLkEWJF5JUJAkM6LsHq98eVC6EEmGdWVupZv2yVz8TJZOlPTWcIkuI8fqZcZfZMDXDUyFQ+LiviRHFN/3OG2rPbeAg87eG7bcpS99H7k7Aq07FUOHXu2gcnkV/PHVeJr3xWvfgr3+N8SUq/4HeJwLmKuQw4ptcacDT9vI71e/Q1SubqexQqNCOqa3Ea3Wz85kdrAPgcWVcLFgt6jKpVr2MU2VmMf1h/TCbSPaTm9pQrtbYIVMhWVh7WQ1Lq5dPPBFNEimWMoKlBze4S93fExVN3f8oC5agzhmhW4g/67XUhCOug56nBlJQPYyPR4r121XpFaPex6TTKbosN/VKzNlLicLWYPtk9vwwjL/Spq4DtrNtUKSDQwMDF645k1KhsrOy4L3lj7vlgH+4OEv4OnLXqHxXz79AwpbFxBZ0cRKRYTF37sfuwMMf/lH+OiJr2CLHXvDL5/+qTeiiBQaDrslqNV4WhI8lGxIUodyZYw+u6RMEUCmRZYQ5M+iilH4SZDkUBFlRRYd91Poe5FsIvlMpjByLKK1RFRDIqrbmA5BwpLjTghCTlj4JeO2bOlFgTplKlGNRBlFGYI6a7mFiDQjn0j6CDJuixPkBhqPQENaEmfcvowoE0lOiSGdxigyRpNl5DiNAyPGQZF2/mLhnksVYZfaYjfqLs+zXyvuiS7rKLHrckK/qbeR7NCzLSyescT9vRVBbtetFRx3zSHwxEUvQ0NdHNLJFOx4yDb0Xf9dN4dhFa+QywUmmWMp9G322wrGfPkXxLKjNBgYGDRfGJJsYGCwVhCRGuNQOOSx8Xr5xrfd8WRjEmorVGTYTZEjEpOS0YiRH46B5bL4Q3WVjMqwcsRac8xA2wvQKkttsiJ3ioQhCXb5GI+WulFVrUNW0zEARQEviriK5DxMWBHaXhtSSJJRQpEWUdtE2oJEKgSNFkZzUxB3UhB2kMCmIORg1T0JJNu2SN3DTaXcKnyiIIk8YqkjFgQZ3SziYJGcoiEdhnpabwTq01FocKIQTyNBjkAjDqkI7U+ju1+4n4IgI8FPYwYhyyJULwJ0/FjfxS89YWS5CXH2EGT1O7Dfww8uo1B6ZZ9ERqFLnw6weLqOZqlIcnZBLhUQicQi0FAbb2IhF2UljxF3fHYNTPltOrTu3AryWzCPewMDg2aHZkmSU6xwBM/M5QbpNisgwR0RrBiLLPBuA19mbrpAd0lYDbo7I1Spu/UjrGBFbWc9f2MeM/Su0y1BQys9PW+y3r+abtxxQ+9TaZnuylkR0fNEWBeSamQRu7XQBV5mxrlmXI+3COtz1zqsu5/K4/r4O2XrDN8ZEe2kEV+qu88ipfqchpkagtUngUaW+OywbpbiKXoBu4H9BqwnxmpkUgjuXMHkMg6LRGV0OfFJb6wM01e7gEgzkVhwnHz7MdB3cG/SfWLSFBIY1H4OOXowDH/xB3c+SqwiHbIgsKGIJsiIupp6KGydD5WlNbBcJmV5YGUiw0x7jJFGV8fMo5oiUkz2anLc479GpFh+B94oKhlPIDmmDD1BKikKSwRZJOeh5jeRTlG0OOJEIJ5OQQQHCEHEwn9VqWq8pLQfspNO0iqxVDXe+ULh7HWs0yQZybHSHqPMAklyhKRVSIzrcXCiUJ+K0IAkmghzKgLxFEa7wyLinRLknjbsyi3EgMfJpSf6hcEJeKlw5PdKLsGix03cRtjfmJjHpRae39c3zXHgt8//8iTwYTW98iWVMGfCPJgzfg5NG3r2XnDyrUev9DpFEt13h94rnac5wlN4i0ssePvosWFk0gsmTeNOB9z5qclLEnfHiGvpRrpIy/yiFcz1gkkZk9m6fYxWMaci9piOt2euDiG97YrFWkrRvmuZO/7t8j7ueE5Y78+ouh7ueKuuuk0cnK0liL/Ua/lEga05QCFr/MqTug3NDun1vzNjoJ4eY0XRmDYitlAfbxYrIMKLkbH6JJDKsgNpYKyMuUXl6fNsl5QF8h4nrs+/7eNA/BrhBdkytX2Zrq913W42S5JsYGCw9hGJRmDHQ7Z1//7iuW/h4bOfhTDTKPbetifE6xpdtwtEKpFmja8FtRX1+HZEhMivV85YPS9Top6SWiiLMbJTFpFl4YYgxoksM6kBBERTBYGUUgwk2hh9xcJvSQtslFik0iS1SOCQEvKKuBWBSDoNYSsNoTRW3UuBzbS3WOzDsYUDRgLSEMFos+VAyBEV+lR9PEoOlDaOIuFPEGTUG9eT1CJKJBmH2rQkyE4UGogYh2kgyYeKJKPcAgl+Ckm/iCRbOEjy6x/8sgt1ngURVoS4qXWeOJc+2zcljVGWcCyaTNHhVSzw0bpTS7q2asprobGhAdIpBzbbfhMoaMnevg0MDAw2lIp7BgYGzQdoA4dIstKm/7vxSNjrBG27haWqPdEp8BgQN12pf5oqb+yPRvK/Felyo5zSdUFFRpnuWERDdaSUPmlZAJtJEVzJBUWShS4ZiaeSWjSmQhBH8poOiUguRXQxsotEFglsjCK+dZLc1qZjguQ6EahNR6BWfabDYsC/nSjU4LzysyYdg5p0FtSlY3p5JMhyvD4pIssNRJIjEE+GoDEZpmRbjCSnU0iSbQAafFILFi3mshOuzebzepIdGXkW0paA38fvbCFm1cVEeDK0+v3Ui05IRPOn/zEbjr/mEGiobaAXLZz2w9s/r+ySNDAwMGiekWSPgTXvZo9kqB3PH8LMAcMzD5NLeLqN8Ctmsu3JAC3SXRJp5syQvVx3R0Sq9fREPsuKnaVXWdNBE4dQPetOatQ/KSsvDz066pryGDVSyI/o7pXPS7WZeZ+8Je54i4iWWLw2bzt3vEOe7lpaUFXkjlfV6W4aTP5RsON6PJmtz1cqqve/aKb+bRrz9fSc5fq8Jwp1H1JWHXM24AEmPl7L9Bzsd/K4W/i7d1j3fkbD89WVWDRT/Dzsd3jhmjdg31N3h/3P2BNuPPgeqnJ24/uXuVG9B854hj7H/zQZjr36EJg3dTHkFeVAxfJq+OHtX5gNHKuMh+CJefLTWnlpPi8hk8vxCKcgYgG6ZE4QiTzLfcFIMjq+hWRUGaOv2H2rtLw22ts5kMIIcjINIYwa22EIpRwIWSnxN8aAfQUyKIALIUhaCYhaKYhZSbCtMERwfiom4nW1U37LCfmJUWTUHpPcgrTIEajDCDKS5JQcTyFZ1tFkStxLhSiKnE7aLIpsi+NNioiyNG9uQpB5ZNn7iedL/jbq1iKfYy2fEL8BEyrzlxietEdeeLrnAK+NVu2LYfl80c/cok0hlC1aAS3bt4AnLn7JJdE5Bdmw27E70bVnEvJWH5mefZ5udb/7iJo9gzyDO2CA7XWIspy8QHeFVLZuv+xG/ZxOMdcLz6r4o4A9smNL9Hoai/R60kyyWLJEO1TEOiYDXS/2bKedoL4t15aBJQm97KK4bh9rU9r9qWeOtpyoTGrJ5YQV2qIiJ0tzgxVlwRp5K5lBpsgYXlQ31x6EGtixx/QCkUVaNplupx1e7DK9Iizu5MLXhjrV1YGuUNzpxGGuYJkK1GRsc427hYGBwcaAd+/7GBZMWwyv3PwutO/ZDiaOnELTx341nkhzY0MjvH3vJ7BkzlJo07kVFRQpbJUPU36bQbZcCFFAAv8XFeeEQ4Vo/VzJhZRaiIYaXSG8/snCX5knjEkNMhIw9zstqxDETrlZKAIo5ifCGCA7IElCyhFEEokzEWZMfrMhZTtSbuFAKIma4jTYVgRsS3sKK30xFRbBeZ0EZNlhSFgJSvALQxJCKLew0rK9F8WpEZggKCrpCSu5hNIkY7QYnSwYQcbxumSMSDJGkhswgoySi4TQI6cSMoKcZFHkpD5OjJrbcroeVJRdEGLtcKGi8ToKLAgzi+iLSiviJNB8jCT7S0/jC6yc1ntQD2jVtgBGDRvjfr2ipJz1UIhzs8XOm8ExVx0M1w+9B569/DV4ftIDUNiKRREMDAwMAmBIsoGBwRrFweftC0vmLoP9TtsDttq9H2y5a19obEjA9kO3pu8xiS8RT0AqmYZPnvwKNh3UA95/8DP6rmQeM/dEnmRbUNAyF6or65oGEjyV99g0Pp117WtyrKLFIlqpKsIJ2zNFlAXhQ3JIWmNb65ExmEJJexhZDWmy7EaTMSJrO5C2LUjZNnkgo0ZZE2TWa4XUGcluSPgVZ5FdXAIiVgjCVspN7sPliCQz/ki+xvQpCDLpkkmPHBLaY4wmUwQZ5R1Sl5wUUo+4lFkkkMzj/qZCUmphgZW0BenH85Cy6BxQFDnFzoEkwq5Gm74T59J94VCE2XW70ATZQ5i5pMIvw1BEWlbcw4Igo36b3iSZD2U64YhN1xWi0ybtYNa4uVSwpmJ5FVy1zx1w47uXQIee4iXMwMDAIAjNkiR7Qvk83M9rxbPuASumJRkWSzLydDPxwhLUdjEZR5g5J/Aa5kxraTPj7hTLzI0XMIkCSx5Nsl4XhzsY8SRwbNgk5pRol4k2LXU3yKhFOjM3ntDHNivW0h0PUaso0KtIZ7nOrtBdMMsW6a6l7GKdvZvFsnGro3o9MSYpsVmPW7xQ73NuCSuwUqfPT6hWLxBvpbtusmfpfXMydaey7iGnMR7cbeQ9jQCsGyjjdcTnaYaFQlaG3Y/bmQaFB364pck8XTbrCMvml8Km2/SA3z7XvscrsMuPnc9YdgROuvkoeOyCl7zdqKpMMXcp8asuVFERT+U39h1FiSXXIsInI8Iy+kw1AxQ5VhFm0h0zgoyfJAFwwBK1o4WLRkj4yCDvxMOxMZJMG4vICn9CPIGSCeFQERKEWvoZR6wkySzCJLlwxIPbEpILUixQ4p6SWwjtMxUnQdcKLCKCsgu0gpP644YkSi0wghwlLTKR5EQYUskwpJNIkKW0Ao8Bj5XGpXSCSLFPXoHTXGKs9duizoKuuOfxR1aOF030yD45DHcnUcBy1AAwf8oiaNGuEMpLKtzfMysvC+qr6qFscYXUwaRJ1jP07L1h9oR5JN9BwvzVyz/CKbcds9rXc7NFBnmZxxmIzcNzCXgb6u0V4DIM3zObOVpYlv4uUqXlB6mscKBjA6vd4SmoweqBQF6V3o/SAWxfsffE3W+9D0urtI6hrFY3xvgyq1CX1I1xaYOepzgWXNDql7Ke7nhWSLd3mBvgbmtJod4fVpDLqtUHmbUiuHgKL7wVQuP0AIlFBBOhJVJ57HdiDl/2ErYB5miR0cECt81dpRhSHvljerXcLfg15WQwwPiv0SxJsoGBwfoDjN6iFhkx8v3RcMRlQ0kzitpR5ZGMJDiVSEFDTRzevvvjzCtDokwvPIwh+6PJHl2ytGsjDYEqNKKizLKVUdZuLkGWEeUm0WPBEWjACCzJLYT23UkKyznU+WJFPPHo1SILQflERT6SZKQTVGgkZichmk5ByEabOPwU+mWUXPjfAaiaH2qYcR2yMAg5ViBJlu4VIqIskvRQZoGNsSDIIUilwiSzcJAYk8xCRZJltBijyCpKnPRFk5lXtHh54NIL6Q7iuoSwZD35c3ijyE1twVwHEr+eHAAG7tYPQrYFX7+K5aUdaKjReRaIPY7fCY65+hDILciBy184B0oXl8PcSQvgkye+hOULS+HKl0Q12NLFK8gz2bhfGBgYKBiSbGBgsE6BkddeA7qRBhmJ8Vcv/QCfVL5CEeWnLn0FlsxZBvnF+VBdXuu6F8gFM68USS7GVpUxqvLcJRId8mhjHZI8qCQ9JgGw0LpNlIEmnbGtosdMf4yEWhJiIpMqUowEmSLGQDILjE6pitVIiEXMSJBllHWITSdFZb5QiqLIjekkNNo2REJpCKVSEEEtMyb72ahHlrprqTIQkl8p1QBdWhrlFhhVpup+GEXGCnuSHKPDRiLlI8ikQw6JKHJCRJBtGVF2pRXM6UJMc/SnJNQedwtFjKXW2FuJT/5e+B1qjQMjy7551d/yHH731s9Sb64SOPl8adjjuJ2JICtpz4M/3Ay3Hnk/jPxgNHzzyk9kEddvxz6UXBrNjsKzEx6A9t25T7yBgUFzRfMhySysz8P0dpSH+Nn83Pw8Q/eQZ/XcAQPb76yswJr0Hgtv3r3Aa6OzHvpYpf4je4XeDzuhl61nsgrekGA3q0Jkqf6pSxr0eCibyUSW6H0O99D9UpGoPuYxc7u446k6Jklh240v0t1MiUbmwmEFm5znsJLvYRYE4t1nyRx9LLmsOEukWneHOax7yKrz/h7uPKyriJvV+7uKuAyHdxtlysbN6HRhpBerhAd/vBmGFpxEFfcwcowEtW2XVkSQEfW19URSC1rmweADBsKwp76RxAi8yXviD0HCqDS1qrghCRSyV9K1SrKs5qdl0I8Zo6dCL4A6YuV5TBIKpU92I8aKIEsCTRFk+ZNT8JsyDcGiqK/0osCosuSIKSsMjUTOUWIhy1erinyhEETtMDTaSQil01JqIZwxlI5ZHa7yhsDdxvVQ0RJHlJfGinvkySxt5+gzicQ5DImkDYkkEuSQJsgJRZCFDpnIsZRXIOF3o8oycU9JMHCcVFluFFkm57mRY5aQJ8mwsM6T87hgemSftZufOAvP5KbXksNcQo6+8mCSZHzw8Odw2h3HQq+tukO8Pg6tOrWEDpu0I4L86yd/UDJpOu1QRb5l80oNSV6dAg9WJPiZyIpzAW8f2TrtAm7FEOyMQWA2kSEmD7BytTwgmavXG6rQF0a8UD+DG7XJhC4tj23rUj29vh17Zjfo9cdL9bjTpcYdX1yjE0Cxh0dhQa2WAnYu1k4Rsxa2cce7M9epiXM66e2yNp230akVui2yE3qeRpaDGtanB/IW6vNgs/uCF2FJ5TIpC0qU3BUxzQqTmXK5RSZHsCZSDNZucmQq4pXpust4Da5BNB+SbGBgsN4Ciz6cfOtRMOzx4XDqHcfStPtPf0p/Hw7Dxyueg8+f+w6euuw19vIRkKjHyLKgp7pqWyiGulvmh0wPdulUYTGJhYoyK10yEWKxapXIRxFV3I2UiBATSRa5haTgEJ8Wq4iNBJlqTEsHC0GQOUlGYov2Usl0ioqOhGlAgiwiyEiSxTZkciGtVRBkpWlW5a+xuh8RZTlQJT0cR7KcxCqGIUglQ5BOWpSoRxILP0EmYiw+MfztJuVJCzhM2HO1yEqr7A4ycY8l7Lm+0ooEq8IhSvril1Oo5EoIkGCoBjMDiUbsftxOcFb/y+mrFUsq4L5vb4DLhtwMcyfNpx3ZbPtNoaq0GnYYOoiS+PKKcimx1MDAwABhSLKBgcF6gdkT5kPpwhUw4v3fYMBu/YjUKGBBiHO3uQbadG0tJmDFubANLTu2hOULy0Qil0y+JL0rSStEZll2UTbU14joR6pRMl1F0ixVhlpqmSmaHJLaZGEnh5FiItFKViEJIUWP5epQloEEk/g2kkVisrpuNJJlTZQlyeNuZ1RwRFS5Q3KLpaqRHCMxxk9bRpAxOI7TVKofHa/gq+Ag+cZALRFklF7guiRZxkImWCCE1o8OFlgsxAKHkvQEOW5CkBMYPdY6ZIoWqwS9FFCFQE6aVeRYD0qKkXYjynpIU8TeLVUdpDcO0Ca7xFq+CMVyohCvUVFKB4rbt4C2XVrC0nmlsP9pu0O3vp1gk4E9YPrY2TB7/Dx4+YZ3BEGmHrIwTPl1Oo2j9eAJNxyxpi5tAwODDRTNhiR7wvesey/Nu9Uz1aZnThce8G6jIp2B6odTmBdYgx4bD3ecmaJHK1md+oju+mkoZvIG1s3I3SF4ffas5TrKlmLqj1AlW08O68ppqVdUuyJHb3eF7stJtdDz2/WhwIImvKY812HklLAMYtZrEmNZxhw8A5efE7vKm5jjrrOedellMYlERaWezrtreM+NvxuH9eOm63X/lR3LCu5aNFKKf40ZY2fT58/DxsCvn46FXY/cHkYN+x2SSGwBYN6UhcIpguBA1z4dYNDeW8JPH42BZQtWiOgvdymR89atqBWuNFzD7EsEU5pkki4oFwySWUgnBSymIaPJNrFisqAQEWRZjIR4sMgxFMqKhIosC0GEiAGrzSMDR5mVKPuMnxhJxsFOpSEVCkEohIl6whMZu3FtJMf4iXILZaisnM9ov0VEGj+pGAhpky0q6INaZ5qW0gM5WLgE2ZbSCh1BJi2ylFRwqYX4RDYuZRdElhlhdkt1yx1znULSaAXg2u818UlWBXyaJOf5CjWFbEjJ5zaWMFfIL86jIiI44HIfPvI5HH/doXDJs2fBedtdQ7/ToH36w8j3f6UXnOvfvQTuPuExKFtcDpvv2Pu/vJQ3GmTq3s74HMwgO/O0p7yLnZcY9zkMeZ6pISbdYLo9u4EV4arS7VoyX8+fs5Qfg952HVPUhFiTEq3Q60+zpr+xlV5P43zdpsdDzHaqhd6fwhbaxWFRudZ55Bbojc2eo3eCvNclUOqlEJ6hZRsRplqIVQTLF7OXM1lFVbDMgRcyC9UHz8NlosDGeXtosUJpdh47DyQNKQ8sIMKXzyzhWX8KdTUbkmxgYLB+4+rXLoCLd74BEvEk+dmiVZdC7+16wfQ/5sD8yYugfY82EIqEYM6kBTS4L6ukURURYbcCphvBZV38MmIs7CdYBFNGnim6LD9JqYFkEV/2UpJMKy0yElZlEYehY5RxyGXIMIPlFuJyJLZAVo3tCnE/jPwKIkkEF4lrGCPZaUhj9DUVoop8uLtIkIkck6QDibLijoLZa4IsdMkOk2+460YSLstMq0p6bgW9AIJsc4KMUWUkxUqTrKZLsiwizTKCzCLEgjxrNws6J9L5wj3ndBgssZKRZDcfhEWb0U/bhfz+oHP2hLzCHHjjjo88Zc/HfjMBttlnALwx5wma1qpDMUkrxKVhwSszHoPG+kbILfQ28AYGBgYIQ5INDAzWC7Tr1hoSDQmXWdpUqc6BaFaEvps+ZjZ9h5XSpv0ha7QrostLUyP4uK9stQeu6wVGZ1H/Kgiy4/q6iQgyhYzJ4UJocIkEE5mWSXtJmdyH88jIsir2gZQOSS1RREdGlIkbS6kHJRk65O2KhBYt49IYNQ5hKWssPKIqCApyTIRdRlc1/xcCDCHflYQ5zQckxni8wtbNQ5Axek2WbuITib+boIc/h9IaczJM4zKynnJkMRFBiOk8oQ80t3tjRNnVIPsr62VytPCVOh4wZDOIRMJw4nWHwogPfoMlc0pJToE+23o9YpmnL38Neg/qSeRYwU3wJMlFhAYDAwODZk2SV6X+t9f1IhpYX97K5i7lrHuk3isBsHJ094JVojNYoVh3u1isgEi8ne6+iVTqro36LrmBZuBZZawwB1MTxPODi49weUOCJRSnGvTxhJfpY062Di6gESll3Su8ly2D2iC2wgp0ruD7451fd/2E4lyOwn+c4GUhkQh0J7GYFMYpKw8u7OJriC2emc2wSvXlDf5fyC3KgdwWOVArs9ftcAjuHn419NluE/jtkz9gxHu/EQFq0ZalcqvEOzLplZpkNd0lXUgSHW0d55aow+Ij0u2C/JDl9UCaZOl0keZSAJQkIIG2tRZZJeVhFBsJJo2LfRJLyE1KrmeHBYFOK64YlsQ17AhXhnRIdLXaKIfAbWHgVxB4UWZbkmNuJ0MbUDZycpzKZouIsvSdc8kxdesSOVZltBUp9vogK4mFq0mmaYoYS+JMf7PkPUzkU1UL5bhLhml76aZFRPyE2Y0m+7rc5e+GVoFYsRFlEsvmLYe6mnpIs2cpx4Kpi2DSz9Ng8EGDPJFpTpQNVh9p5gbkKRrCxj2FIlh7yuWLaVZYgnfJE5T8BlFbH7iNdGvdnoZZu+lBBulFjMkqGop1o1LLHi8R1rZyR6nG4nSgTMIu0XrHilrm+hEJbiAxB8BdNq7HcxYGSyWjbH+iNfoZkIrq+aPVqUCHKDvBNf7suJivuJPFHKLK2XTWtnrkMtx5gskjxYx2sEQjg6OFpw3l9/06dohaf4QfBgYGzRqhUAhenPww9OgvbAaT8SRFCLNzs2DbAwZCdp5oLQpb8WIPrCCFJFdIhDy2jdw5AedRJEwt56hpkr0qWzJ/0hkmCyJ/RWKIBNBNXBORU0xkcyUKijimmFxBDjTeKBLj0IuYtL+Ntkiai1sA2Fg24hACJyGGNHoZx0OQlkMqHvYOjfK7xjCk2XK0Hrk+tQ3A7eB2G23aD7SSokGRYrWfOK68keUxiXE8Nkd8BrlbMNkFEh3XCo4aQR85DhokmaXfkEswJOL1CXrpmT1xPtRU1EGa3Ep8Vp0MfXfYhL4rKymHE3ucB0d3OAMWzWS+kwYGBgbNPZJsYGCw/mDFknLyRG7TRbpVSBS3LYKHR9wGV+93B5QvqYDtD9yaEvnCsRBstsOm8Oc3E2D4iz+Qz23ponIRVSI9K482MHJF0WARDkC9sieK4RIznchHMWmpV0aC7GBUGYkerj8lC5RYtpRcSLkFRmAtR/yNemEZ1VWZddIoQ0eTVQFA0g2LErqo7sCeLIfsK0B7NeM4aZ7lLrseagGgqLE6FvG3KOgho8YUltYWdsLjWBcJcQk9S8DTf8tCIUSQVQRZrQOTGCUpTjItslt4BV9ClC+yLi6iX1qaRpFFJXDmhCGlMvTb+OQZ+NNstdsW0K5bKxi09wB4/qrXYdHMJfRdVl4MztjycqrgePz1h8HSeaJXb8JPk6Fjr/b/1eVsYGCwkaJ5kmTeDcS61Xm4n3cncelFuo51D+VoB4gm4Fm7vGuvSpuQ8y6/WIbuv5wlDYF16pM5mhSEqrhxOuvW4pmwvHQ821Z4jp6/gfGVnIn6vCS0EgRCzKg8IgqgNckCjtQx95AI7wbS06lBdf9g60+w34Z1t9m1uivNYefBYoVFuMTCAy6F4b8Lg53N+rSoeyjYQYPLMmxmsG7kFquOhTNK4MwtL4NkIgn3f38zbLmL15cWI8aPjLyNxr9+5Se479QnZVEOfaFgVzsiHA0J9wslu2BJevktdZU+7cWmGCvTKNMlofQTgsQJMmp5CLLr1KJKQmPinlw12qkRQZbSD6rSh9eIdMpwg6Q+WS7ZJqMsAi8fJMt4KLhSJM34AoDTFTF2Pd/UfqhjVWclA0mmfERJlGWJbSK4OJ1buPncKdwkPRkVRzePELODI5kFkl8ZWdfEWBZmUQSXpkkyzCP5fus3nqzHhyAtufty40A6mYaxX0+Al6c+BF+9/AP0HNANWnUspqI0/XbaDF656V1aZPofs2Gv/+0KiXgCdjli+//gSm7GyCBT9IC9uDq8oBZ71PKXVt620ndc0pHFbJvYs5pLBaBaN0ihSKvgfcrVz+zGfFZUK66vr/w5+jkTb6EXzZKSd1q2kElMuHQBe4IkoqVMysicoJLs+CPVbN+4KRRrprLKgueJsYIpnA/EyrU0Il6s2/fY8vpgDQF7rlrV7DfgbVo6wI4RZ6nRfCZUWLiSayS4IIhX1pjhQlrHzlHNkyQbGBisM5QuLCOiglg8ayn03qYnlC+thHbddCUqxB9fj4d3H/hE/KGkxwDQvmcbWDIHWw6HKqhNHT3TO4N8iNdVs0ZBOlegl7LIe/P78DLCLIuJuBFNSZBVZTj8m9oVjCxLqzfV5ojFLUGOXVs5h7yLhVZavqcpworyZ0mQyX0C14dJfCjBwOi3qk6CxNwlyuxlgJ8bxeMlQaZtyJ1SEWWqiqfIMemUvUl52r5NyUq05Zs7j6tDlgSZkWOSp8i/6QXDJcOsuh4l8tHbQROiTASZk2h+mB4PZTmRegzE8b9y0zuuI8pm2/WCaWNmQ+nicihqUwgVyyrhs2e+hRvfuxR2Pmy7///Fa2Bg0KxgSLKBgcFaRf8hm8NFT50JdVV1sNsxg+Hsra6AhdNL4JyHTobDLjrAne/eU54kyYUfJbNEqeqBe24J/Yf0peIQmKCGWlXuapHyJ3NRRDItHSyYHMONKCNjJIsJ6sUQPAy/RzIo/3ZsQAfiNEXJ0IkYbdvQb10TZUrMk0bGZL9G5hU4LqUPGFRSKgL6UkaUZUlr8i92CbKSWEgJhycCJD8VYVQBZhV44ZFkSYxFVNlLhgWB9pHllFdjLPTKWn+sNMn4oiC0ynxgRFm5W3B5hSekLrXK7kuJKuHtKx4CTV9sClvnQuUyEYoLhWyyfFOY8vtMepmZ9/dCz8/fom1mP3sDAwMDP5o9Sc7kVpBxnhir384dFHwFR3it8iY6SAXugLGiyh1Pt9EZu+lIhtrmPAjGsn1t5oBBDbJEiGW2hhv09CRTjOTwXBZf3YWAyZ6s26wyJrFgpyJ7uSYqWWW8+IaePxRPBR5LyK2kBeBE9UptVkAAWHEWXtyFSy8c1m3Ht5tmXYDWymygPMbmTJKToR69wcqBBPXAs/Zyo72LpX4UK6JxbLV7P/j+zVEZ1/Pnd5NooHVStFUU6FBVQTDySGSYd9nj98rRwmWV8prjEiC0dSNiinILvC5Royx1wkRmlQRC/o3LYHKbjCZzVwv6JFs2Ib/ASDNdhkqoLCUWpEvGbZEOWcouyJxCkGZ3fRk1ycrZwxtVFmWhWQSZRZLVdySnoE9VKU9Zv+lkPYouK1mF1B67cgtZxtslyjIRksssSD6lCDPXInv8keUBZJJgsJOKBFnJnyKxMPz+5TjIa5ELNeW18rfTv2fXvp3gylfOg00H9ljptWmwisjgOOBp67jcgne387aRy9x87ggeiQUHvsgqJNmLcL62c7JZuxBiPUphmfyLaGRFvrKYdKGhSK8/ZynbVJa+8QpmMWeMVsGSDC5fDHuVJHo66+xKMFeNMJNhcJkib1v5cyDNTkmoVrd3Md7eZemZIstrAp1DPGC/pRWLBv6Woby84HbWNx8vPpOONwQ6lQSn3a4i1qADhnG3MDAwWGfIyc+Gmz64Ag6/+AA4+fZjPN9d/er58MHyF2CbffvT35FYBM5+4H8eib8HSuirqnhg4h0OnGC5EV6fxi7IGcHxulwIpwYhIbASaY/sQA1WQkRYKeqK4/Q3SjJwXLpEJBywGuXfcloIpzeKv0Pyk/72D2oZPi6XCfFl2HT/emk+ae3mWQful3K3UA4dcn/VMREBTjCpRVKeD/pO6pCV3Zsivny6EmT7k/XofEsyrOQZ7s/A51FEOU0lqdv1aEM/aYPUpsbrG6G4fREcedlQaNFeBhscjCjPhxnKW9vAwMBgFdHsI8kGBgbrFoMP3oYGPzAaWFCcBxc9eQZ88tTXsN3+W1GS39+/TIORH4wmonTly+dB686tYOLIyfDabR+uJMrKq+1pb2PPdFlUhAyP6dEoq+/ZwneYio1Q1T2W/IfV31QUg3yQAdIyouzGqnEWLD+NSWaOdLCgGiiieAkGtlUEWUeP2acMkOvEPa1Bdv8OklywcaVNduUWruxCao09kguMEIvIuieyjJFjmaRH3yn3CkWC3ZcJlqDnyi4yJOvJ30a8yHir7TVN1vOGm7Ak9SYDusGSWaInAoHFaMoWlcOoD3+HG966GN6+52OYOGIypFIp6L1NryaXxeRfp8GtRz5A2vZbhl1JNoQGBgYGCoYkr0qdeuZu4Xlws8SSVA2zeqBuiNxguUI4GtxVxFwXMDqjEFus3cNThVqeYSe1PCDF6rDzbiNuHt7IioxkrWDHJj1G/YbkkRrW/VTM1l+upydyguUcGLFSCNcx541iZuq+uD5w/8M1bGEWMrQrWP8Tb8gySSkqqwO77bgpup2rtSapSubS7oNXLrNuM22bI9p2bQ1n3H08lC5aASPe/w3OvPcEaN2pJfQa0A32PH5nuHjXm2Hyr9N93Xe8Ch99Iyan0xDKilBpYxW1pN9X2YyJtUjCJomzcllBWzgQ2mRKw0MujQwXHVnCmtGSrJkeD8JtwqZEPMnF07qwiUjYc2gzNOB3ihT7yDIdESfJfvjNYpTUQu060yYLMux49cmuv7Ek0BhVJm22lIi4OmWWqMfHg5ws3PLU3NkCtSXspUXds4o8077ryDHvBejUuz0UtsyD+ZMXQmNDI7TuWEy6dgQ6WfBy1fnFubDFzpvRgPOmUmny20Y01MVh7NfjYbPtN4Ef3v6ZnFJwKJm9DDptYmzhVgmZij3wWbiLQSYpI5O8rew7jyyDbhyJWtbuFjK9Ai9dztoRekGVyF7KJBn1WgJix1nbyoqHxbQiEmrb6en581gbyiQZ2Uyqwd0zwnWsUAijA1ms5hhvZ7m0Mlynjz2Zrc973kKv1MFdlp2GUDnTfPCkWHyGKbDCabydderqMxRXY7+LT27hcQXj3/EiIxmmr8r15S00tObaZUOSDQwM1nsgWbpg8HVQunAF2Xhd+dK57ncz/5rD55Qfyu5BRIcdKw25RbmQTqehARtEmcQnIsvy0y/BcCvwCT0y6pOp6h4RZfxUYl+0iFMLIvETgmIkl1QuGl0rQm5OoJwmKugRMVYkWeqcxbhoSBVZJvjJcpOT5CPIfJwS6Fg0mRNkkpX4iDIvlKLGiSw31R67ThYqguy6V6hKhUoKE+yJLKQvTcmyxwoOrQOnLYYrfrwJ+myrI8JnbnUFfWblxqC2UjfkfVjUOJrFmAgAPHLOs/DtayOgXfc2cNsnV8OU0TNgk626Q8de7VZ2CRoYGDRDGJJsYGCwQUC5VaC/Mkffwb1h3PcigY/gJurRH24kqQ7dDygJzvbok4VdmibEBOWnTNPJr4Kix8rxQkWUMTlWSBkssBybyLAohJGmJWjzMpuPeCJZvWH0WJJjKbEQZFhOUwmBbslreVhKIqKA85AHHY82yQgxlyaoBD0lvZCkWU13SbFb/IP9TQl9mhhTBFoRZEmauSeykltYHqKMlVckQVa/T5MXkgCZhU96YdsWzJ4w30OSr339QvjujZHQpmsrePTcF9zpf8uehSA01ovoFZa27rZ5Z3j8t7syzmtgYNC8YUgyR4ZwP+8SCOXnB7pbNFkV62rwzMcaB6dS999YBXq9Vh1zdYgxw/MqnRWaKNQSgmgZyxZN6enpGJdYsHrusWA3jER+cJdYwVx9/MncDNKOxmC3inSY7cNcJoFo5OdE77PFspKtBtb1w4kRdxLhpIFn0xbprrd0VXVgBq4Tj2fsDsxkfm6wboD65IdG3EJECGUXyxeWkeQCcd0b58OtRz4MOYXZsGDqYiiZs8xjBeeSrLANg/bqD79/PUF8L/XJDoVJbdIce6LK5I9MVUwEiyVtrzeizCPRTkpawslbgSrr4aJhXWWPBjdyjFIOKbcIodRCEHNaRhJij8SCpiu2qw5RVrLjmi5W90SMa+LssYRTRFlGmS0+Tu4VshgKKxRCWmQZBSaC3IQoy+25ThbMtcIXQaYoMq++55dZsN+OLPOSaXjk/Bfg/Yc/h0dG3gL5LfKI5J5253Ekp5gxdg6UzF5KyaDHXXtoxmupdZdWtOxx1x3+X1yaBqtQWMRh8gdehMtSL6WBC7FrgBWWgnhjsGyASeksLuPI09tzmLQgVqLb30QrLY8MNTJJYZ5uF8gBRo0zeSGXNOQv1O1Ugskh0sw8ibOGnGXpQOkjl1RFKvVxORE7UHrBZYppxhnC85mGIzc7+Nxy2SeXW4TZ78qKa9lMSposKwt0uqD9yCSlySSNWN3pawmGJBsYGKw3mDdlIcTr4rDp1j2bfFdWUgF/fjeRxh87/wXY99TdYeLIKXDEpQfCA9/fCMsWlMHpW14urd+U1MBxtXUYif79q3GCXCoi7CPSBKVPVt9JOzNhHYfxYVsQZUdGlNGPmLyPRXKepTLxQiLpL52wSLNM1m9S6iwiyNL/mLyRm1q+qRLU3B9ZJPD5K4noUWuldnAiUqyT97QEQ0eRJfFl0WQVGVaSC0WQaRzJj3IBUbpjLrVw2N/c0o3Oq0zW80D6SSsjaRKAW5BTGIO6ijo6v+ip/dFjwyGWHaFo8GEX7g+TRk2FL1/43l3L1ntvCZsO6ump0ih+YgeGPfoF6ZdHvv8rHHzuPqt+cRoYGDQ7GJJsYGCwXmDu3wvgrP6XQTrtwB2fXwvb7reV5/vCVvme0tW3HH4/zYu+uJc9fzYMe3w4NGD5cs4UXemE1PiSFpgRZGJksqKdMqpQvr0uUbaF7QMGXCjyxYgyRqCJ5KIVms8dWUaNbRujz7aMFCOhFmSZiDDJL3j0WJNn7m6B4Sciz7wktd/dQh6Kinh7IsoUcUOiLokyRcB48p4izCwRT2mZKVKsq+WJacz/mBcNoelKe+wjxyyKTEVD/LIKJW1x0tCiXSFEQiEoW7wCum3eCWaNm+s5tYtnL4Hv3xAe2sNf/B5OvOFIz7Xy2HkvwN8/T4VrXr/IMx1J8/HXHQHfvj4CDrtYF64xMDAwCIIhyasZ1ucuFnaEFbjgWZ7+LnqePcq7jbhsgHchMVgNduD84Wrm0sCkC6E426fGVHCGL4W9BLIXMdeITvmBWcBctmHH9f5nLdPZssk8LS+JVOiumXQWO0Z+elk3m43ERu0m32fWxcMLr0BtsDO7k2E6l1J4TKUyZc1SZm5o9TJwDf410KkASS+ieoU2u8dku98+GwttOreCG969hNwNDrlgP5j2xyxYNGMJ9OjfleYbuOcW8OGjX0AaJQxYt42ueV2qOpYTg8bGhC4yooiwsoWjRDqh9RVRWCnJkL6/RJTpJ5dEGSPDNB9GjAVpxmnoWEHsGCPJpHfGQiJpYSVH3FGSdrzHkFySrAIj3rqqnkuY8W9+GPS30kkrVqwhSLGSN7BpLnGWZFjJLdwIs5JcMMmErKznVsNrQpal3ZsTQJDJxSJASuGWnpY7wb7nEovyxeX09fHXHQIfPvyF90Jx0jDltxnunyi/QVJ90ZOnw1cv/+CWKf/1kz/EdVVdT0QaI8v9duwDJ950JA0GsEafa1Y4Eixf4136rJiEvzgTd0fwFCBh7S4v7uVpLzxFSvTzO7wsWPrI3S1S2eFAdybe3kUrgwudJPLDGeQT+jhzS4JlmtGq4GJbjYX6PGQtrQ1sQ9OsvQov1U5NTgsm4yxnssM6fSwWk7+k6+sDZRUO+/3SjANx+WmqmnGJ/881tZ62rYYkGxgYrBfou0NvuPnDK6Cuqh52O3ZHd/rnz3wDj573PNl8vTrzcdjl8O1p+jN/3QcrSsqpy/3hc56DnQ/bDj6reoVI03PXvAW/fjZWJPtJppmVHaV0u0R9gqKyrh6SV3LDtgzJnnqx5Ql9iigT6ZTlqmk51CGLxD5RPtoGS4WHkTxbqONFWQX+LSQYIpFPJvDhevATJQxUOZBEBzSvV5OsQ8duNTk1DYkqeyFwv3K1yZoce3XKMjkPlBRDE2FBrjFSLJdX0WNFilUkmY17JBRBBFlJKJQMw62EKF8WlL+y3O/xP04W58HnmVy6UGsh8avrh94DOx6yDRxz1SFw8+H3QTQWgQufOJ2+f+XGd+DDRz6HcDQM7y99HnILdeNvYGBgsDIYkmxgYLDeYMdDtm0yTUWX/aYIsewotO/RFq7Y81YY98Pf8MVz38FB5+0Dx11zKPz2+Z+QjKPVG9qDRSFel4DK5VUiciWjOhRRVitm0WTR44+RX0aUXX2y/IeqhUj5g9QpgztJ6pSV2FhJNohc2jqSjI4YJMUQETUi0WQ1h9NxURnx5kFjKTR2I8xSs6uixGIn2MljSXu0iIqK84iyIqkqikyHqKPDnmVcIiwJNNcbc4LLkvM84+q7TH7IUgaDhx2JhkhrrI9FR5hC4RAk8PdlwfSKZVV0/bxb8jzk5GdBLFtE+4raFNInTkOibGBgYLCqME+MVUGGbgCPWbp/Ge6WwBQEnngIlwHwdXE3DF7IhGXvhktWBK4nwtwhONLMKzRcbQW6TGTPZd00rDFxmGQizbJr01m6Oy1Up9fjRFhGcD3bH5bhbPGuNZ5cw6UNvLutdEWggTl3qPBIXPg4+/2IoLiTMxuWG4nF+oOh5+wNxe1bQJsuraiwiB+bbb8pkWQkWh8/PhwOOGMPqrxGcERlNgFmCychOKbSJmvbY20fpwg0k2agxIBWJ9wpdLenIuBIWhURF5X6NMkVsgpRqARJqCLEKAtC2zdBeKWzm+6Opgi1SjRkUWP60xtlpcmMMKukPV2BT41z72RJipVmWZJdN0rMk/M8ZNnxJun5K+r5nSyUTlmcHPnhXQYJcKoxAY31Kff7aDRMRUEQPft3pSqMo4b9Du/c8zHt56aDesDlL54Nz1z+Knkmn3DDEe65OPqqg6HfTn2g4ybtXOJs4MMaeK55nsee9YcCn8dcvuhf3mYFoTzSQbZekjYFOTag/EmBbcMJs3aqgskoa/T0UL1XRqmn6/Yr3kLvW6ysMbBIFnd8SuTrdjNcy2STzM2JSxBDVfWBEguuXwwvLtWTmQSFSyw8BcuYxIK7bHkkFkwCarM2N82kGul4Q6C8psnvl6mwiGeB9bNtNSTZwMBgvYZt2ySlyIRTbjsauvXrBC9c8xZssctmEI6EBa+l7nyUQih9smSqirBydws+jg038eY0WMRgJYHjhUe4JEM1BlKbTNFg5YSBhJhkBCnhekGEWUSgSV4gpRdCaiAjy4ogSxKu2n4h5+DebizC7OfJSn4ho+XKMcK1q3IjyTrCSySYSLSKBvulFZwsp/Wxu4Q4mBx7CDJfVoFHlpFvyxfocCQEqWSKJiuCrHyx7z/tKUrkRM/kmePmUuXFSSOnwvsPfkrzYAnqrfboR6QYrx+svGdgYGCwuliJSeH/H3PnzoXTTjsNunfvDtnZ2dCzZ0+46aaboDHTG4SBgYHB/wNYYhgdEDr0aAfLFpTCd6+PhDHDxwmCLAMvGGVEouxGLHn0NZ2miIfD5QJyutLQonOFS/xUYQyeqOZJWhOD0O+mRe9JUhTZsDC6heNJ+T1VqZN2avSZAiuRpoQfHMR8DnmyYgKdjT7MOC0h14GfKfY3zpMU8+D8apraJq3T3aYc1HLqb9Rwy/2jfab9lMvx4/J7IbuaZHmO5HTHE0Hm+m95bn0E2R3HiFs8SUmY/heAktlLYN7khTBhxBT6TDYm4enLX4WitoUQzYpAbmEOPH3ZK3Bw4f/gl0/GrI3L0MDAYCPFGokkT506lTLSn3nmGejVqxdMmjQJzjjjDKitrYX7778fNgisxPkgCLzbqEn2KOtq4EbqvLAFn4c7YHgKjrQWxROayDlYXXVgUo1UmxZ6WVmtjPZhaTnbUSY/yM0JlEOkQXe1RBZW6GXzc4NdO1ikyMnWx2WtYMuybh1gxT4gwrps0hmyoCsqg7uH9Nye85lirheUGBX0mznBMhWD9Rf1NfVwSp+LoGxxORx+yYHuBYBOBmgJ9869H5On7vQxs8UXyjiYzCF02WqM8FISHUZJKUqcklFjWXVPVrDGcdcVQ3V7KrmFcpxgEWfq/iWJhqUr49m6Up5Ylwwbq2p6bBrtoQgp655V3F+X6OtpOkruY5RcVsEjx+7p0HpjLblgCXz8b0/EmJFlv8SCa6OFnUeTanv+RDyFrffqB+O+/5tectzkRMchZ4qKZZUkpTjmykOhqqwWCorzYMafs6G+poEKjaBNHFoHojTntL4X06J/fTcRBh+0zX9xuRmsCjJJ07jkLcmKfvB2LOQtH85MmLyuC6wN5eCuC3YOu77YM587YHg8tAt18SmHOy+VMUeIDFId7koRqmFOTalIoEwxVqqPhWwd1fxcKsmdOgpyg4tw1dYHt6ecD2QITHocRthvwNvWTL+lxWUVGX5X/3cbsnxxjZDkfffdlwaFHj16wLRp0+Cpp57acEiygYHBeltwBKuqYVc8EmTElN+1JdicSQvg10/HwsVPnwmPXfAizJu8iKbnFmRDXXWDR3ZR2DIPamvqISmdFlxphiJxGAlG7aL0H3b73jz2cSqxT1XnkwyUyLMwOxY2b9L4mJw1lD+z1Bur5DtFiqlhZxX//AgsKBJQ2lmRan9SHyOtLhFWLxBKj+yzaNPkWb5wq+980XdXXqGWV/vj2Q/v36FICAbu3g8KW+RSZBgRy4lCvFaQhc222wTOe/hk94gf//UO+OChz2DMl3/S3wP26Acv3/A2jT8x5m446/7/wcy/5sCRlx+0yteVgYGBwTrTJFdWVkJxcfFK54nH4zQoVFXpKKqBgcG6x7q+R9Ev+YaD7qZu9RenPAJ9B28Kk3+ZTkNBy3yoKhP+yj9/9DvsdtRgeHjELXBEuzPJCq5Dr7Zw9v0nwSdPfQWLZiyD6vIauPz5M+G1Oz6CiaOmNdUoq78V4bOVbthXjMR1wVDkWI5gRBqjJtJRQ0SOBXkWfsyKAGOVPkmucRuKrPJol3K58BcOyVB8T/NmJmcISOpziXFQJFkt5xLlgMQ836At3oJJcSQ7DI113A8WIAv9qxviMObLv+glJQdfZqrqIS6Tl/Ja5MJRlw91F8HfDb2Q23Zr7RaW2e3onWDcd5Pob6ymd8Slev7mhHV9fxoYbGxYKyR55syZ8Nhjj/1jFPmuu+6CW265BdYLZOgG8BSm4Nm73MLC36XAuhrSQVEhnzyDSwg8MozK6mA3DF5og60/xDNeuTSC7wMvdMK7pWpY95bnuNg8ZUy2waULMSaxqK4JloiwrjGPgwfrZuLOFbyQCj8n6Sq+fr2nqZqa4O4h3m3Ef0vmvLEhdgmtLazre3TZfHFNozdyVVk1DDlqRyLIXft2gsdG3wkn9rwAKpcJYrBwxmLY9agdYNDeW8Loz/+ErYb0gy127E1k7bs3R0G3zTuTD+/fv0zXG0CdrLzGPT7KKkLssEIlStvM5RdKgqHuE7zEUD6hosZSzuGSX/JRdnUVbhKfG1HmtaYVKfeXWnZHfFFwz0w+ba9KwuPfuwRYkWS/UwUjvX7tNrd3Y97HHgLtONCouqMpMi/WldciG0oX6udNXWWd5xixouKZAy6H5yc+CC3bt4CLdroBFkxdDNsP3RpenfU49SrgC1JRmwLIys2iqHNzxbq+PzM+KzNM9xQZaWDPex+4u4VHKsCX5xJB1p7ya8luVRxcwItJAa3Weh4nlzlFVDPZXlpLEG3qnWra1ttpLQsJ1bACWy11AY5QKXuJ4fvM3CSs+sZAhytPe80ki/w8Wqzd5E4gXBLJz5WX07BNZXCn4PLFJhLVDHKbDa09tZxM4rAAXH311XDPPfesdJ4pU6ZAnz593L8XLVoEu+66KwwZMgSef/751X4L7ty5MwyBgyFsee1F1hUyk2T/jHbgheSpEMTBfgZOkj3kk8+eiSRzGx1us8ZJMtcy8YucVymqCb5hgT/IOInNQJK5RtpDknmGO9chrwJJ5ufK82BlJJnf+JlI8qrqqdb1TZ10EvAjfEy9MQUFWju3LpDpHl1b+5ZoTMCnT30NLdoWwW7HiIIjyxeWEUGKRCNwymYXkw6546btoKA4H1q0LYQrXz4PGmoaSKs68oPRcPfJT1KXvntfqt+a64Lpbxn99V+7FBkWy4jiHxkGuQ4dBbZ93/ksnaR+GeEEkWK+nK4rouF3uvBLL9wospzJp1FuIqtQJDlIMsET7pS+3689bjKPtn/ruWUXmPXXHBrv1q8zzJ20gEg0FoxJcd2leygOXP78ObDPyUNgv6zjIJlIkT7506pXYV0D74HCwsL1+v5cn9rQjFhZBVRuAcfbGvbM5+SZV+VbJZLMLeM4SWaVZzlJ9rSJfH8YgXTyWY5PBpLMNc+ZSLKn7eMkmYMdyyqR5AwvFKtEkhPJf87xERPWm/b037ShqxVJvuyyy+Dkk7UuLAioP1ZYvHgx7LbbbjB48GB49tln/3H9sViMBgMDg/UT6/oeRSJ82EUHeKa17qQTWh/88WaYOHIqfPTYFzAJJRQA8PxVb8CCGSVw0Nl7w5OXvgJJTJBh+uPcohyorajT5FB5I1PUWACdJ3RiHYWSZEKfrZ//imwqLTItyImzrNTBv1OFRRQhDpJZ+KPJtC1GkP3jLOGNl+X2fCqov0mT7SPNPHKciRzzRD6/QwWfx0fGZ42b5+5Cu26tYc6E+TSOUeEhR+4Af/86DWaPn+dGqHtv0xO2O2AgzdNrQFeY+vtMaKiphz+/mwgD99gi8FppjljX96eBwcaG1SLJrVu3pmFVgBFkJMhbb701vPTSS+RVuTHA86a1krcjTzcEQ6YIp8esm0kRPNm/ng2wNzguaWDn2cr0BsojtzyjlkdleQYxd58oyA/u6uJZwx4TeScwqszn97wpe7pvrOD5MxV0CcUCzxv/LdIJ42ixMQMjzLscsT2M//FvIslINn/+eAyUL62ECT9NpogzlYB2A6UO1JRVwyaDelDFNvTenTVxgZAisHLInIdqiGw+JMqkK5YFP1yPY/XJNcwKRKQVafRFnj1+yP4kPfjn6R4izK937lHMtde6DHSTyDL/ZJFgfwEQN5rmI9GhiAXJBuUj7U0ePPyi/WHx7CXwy8dj3e+ry6rh06e/hqy8GGwysAdM/2MWFLUugPu+vZG0x4jT7zkBLt/tZhpHRwtDktcS/k00cBVcL5ouYgW6W/BleISTt6EeSQbfdHllcA8sj4guK/3nHlIehc60/9zxiUW87XLWXvPj4uCRbb4ej9yCRdG5owUDjx47GXqQM/WO83PrZCgMI559Tac33ZENS2LBsUaYKxJklFd06dKFdMjLly+HJUuW0GBgYGCwpnHeo6dQVPnN+U+SCwYvXfzmnMfhmlfPp2ITqkzxjD9mQ9vOLeGhH26C3Y7aAfrvspmUEDBfXx5N9fsDUynqDJZoyluZkUzhJ8wG7jGM7hEp/5BuOpDvshzcefyfvmm4fXd+OXCXCl8REHffWdEQOi9q2aDjlecK5RXJBvFiXNAyD9p2beWxhZs9YT4sml5C32OVPU7oG2riMG/yAjjw7L3g6b/udQkyYvMde1MREdQnb7J1t7V1SRkYGDRDrJHEvW+++YaS9XDo1KmT57vVkEAbGBgY/L+gqqyhE0L1ihriX+26t4FDzt8XWnYoht2OGQwjP/rdtRtDTPp5Gtx85IPw57cTIYSaRu5gIT8poqy8kpWMQskMMPqrykejx7DS/qqojVpPkK2bSvYLSMzz9K5kiiCr5V3ZBYvauo4Yvqiy/28+3RNRZi8JaoLfd5nnCchxrJhH59dxIBaLQBq92mVECedBqYQK6ePvpWJVrToVw4qScion/tnT38C47yfBS1Medtc/d+ICklsgrtj9Vrj146tgh6GDAq8DAwMDg/WOJKNu+Z+0yxsFVtKF4Om24AVEuCzBY6TOxllXkZNOBnfZFBUGyy0y7INFafYB8/MEB961lGRFTLJYEgFfljeyvDsmQ4Iezz7m82QqqsK7zDzHkkHK4kkS5El5nqIhGX6zlWXmGmywyG+RB1e+fD5MGjUFjrvuMGjT+f/aOw/wKMomjv9JJYUkQGghJIQiAYGAlIB0pQlILwrSpFgAQxOQqqIiRVCKgCJFkKoCglSVIkgnSAsltARCgGASQk2773nn7vbePW4xEfhye8zveZbb29vy3uWGnZv3PzP+ymtVG1fArtX7Vfsf+zOKHkXJOIvTanVS0QyEOl4bK1U4ublYOsPR/sZjlUYBomyc7FDTOawcZVluIe9Dg5Gemx1SW/I1zaoWkgNua/9HPao6FZo01DYcamUf6dz+RfMhj583zkZexI1Y4xS2pQ61ZVcnFyfqrmeujfzD+VkkuZg9+HtyskUi5tCXP8LJPafx9pRuaNrrZYSGl8apfcba2KcPRJOTLJI6hbNtjEozT5zHkVj8h3OqpvK1ziXfC1TfP1nSIcv5pPuCLJmQ7y9ytSV3Z9v7y8mwebxtj0GSRhiksofy/VSVZCfLOeT7piy/lMcme29aclbVPdfJtvRRuj/KEovHld3kymqRAzvHMYTCDMMwGjR8ow4GzOyFtbM244s+c3A7yXjTuXI2Xko4Mz6+Prw1RZxFlQXrSKpx3QCDyWmltsoGAzJFtFQlUzD94LRqrmFscW1p2aySN1i3dLbVBttarpGVxVoiYn1t63Ob23Ar45US8qylGKrybwZ45Mmtev36pZuYuetjeHpJN176qKW6yzAgqEyA8rKvvw850S3faaI0DxFVLP7edhxp99Ow9LPVcHN3xYw9n2HAzN5oPeAVtB3YnBqHtM3/JjoHv4PEa1JnT4ZhmMeAnWSGYRyeozujsHLyL9g0fxu2Lt5JOuWfvlxvetUiIyhaqhAWRU1Dwy61rZLepGoPBgPyF/JVJ8JZa3rNxyjHmV4zO9fCCTU5o6QXfpSGWXaWrRfr7dl9LjnFRsfYOFaD0EUryXjmcVld20o+l4/qFFsc4sBShekHScW6ZRVn1xYV65VTolnjfhqibG/xViNM/+sT5JKSGOu0C1fWW77bBP2+epNK/R3fdQr379wnmYbouMgwDKOrjnvPMqp6v9L0ROYDjYoQEipJhpTlKvdYz5UF6YKcHazaX57KkUoH5XJ2+1c5Ry65nrOEKtNWzhqWPge5FrRBNS111+Y00CPrMZq3y9U2NPax11rIzNNF1OLNH5AXd5LvonytMnBydkLllyrg0NajcHF1QUZGBpUfK18rFPfvPkBYvXIoG14KleqXx6VTV/BRh2nIJGfReD7RDjuXsxNc3V2QlmaMKEPWKwtUnfnMIzFrlE36ZfN2KsHmZFFgiGvJ5eKUfWxokrVkFFablE57yjbLjwNaVZqj2NAqy01CTI6+Sv4hIvNn1InZV89fQ/sifY1SFJHILzddkH6AHNxylB5FF8Xgsuoclm+HL1aO6/h+S/SZ2BW2aNStLs79fRE++bzpb8fYAdn8P9W6kpP8XG5goaq6IDfqku8X8rnk+69cKUK+lpur7QpUcpUk6f6oqrYhN8aS5R+y1EGSQ2jeuyU5h6q+sXxfS0mx3XNBI9crU5ZzaN1DVdWi8O+VtbKIniUWMuwkMwzjsAiH93rMDWxbthud3m+JZn0bwj238Sb72a8foEtIf9LL+hbwoSS/D9tPQbHQovh9yZ+UQNa0ZwMUKVEQ5WuXwdEdRr2yQCT2ZRoyqfOfjMFJOLpmLbJS9Pjh2sjGva2S7TLMBeQs+0rOpEXLa4z4Kjc9KTnPXLDOmDQoD8xS81k5SEk4tNG0SJW4Z5FUUJk7KXqet5APEuOTbTjq4rMR0hGrc8KAAsX8kZ6WjsT4JCrJZ65wIfTETlb5Bv/EG6UTPv558MaY9tDCy9cLQ+a9o/k6wzDMf4GdZIZhHJLUB2noVW6g0spaMH/UUkry6jyqHbZ+vwPVmoZh84JtJL8QjueZg+dJ8yoQXfqm95uHOu1rILenGwWDzNGqDDH7QR30rCK7mZnwK+SDpARjdMnsUFKSn62qFA9Vs7BRH1kpjqFOUjKQWk5OGLQcRy6xrQoX5muaz68VOZbW5aQ8VYKewYBk4SBToxVj1LxCnVBKfhT7ubg5w8PLg6qLCKlF2eolcGr/OVy/dIMO7zq2A8KbV0b/8JH0vELdshTVlxmzYjB+X7ITjbrXh4e3VNeWYRjm/wA7yTnZgEQD1TSHVnMNuVi6lBejqg6h1cJSvpbGlI1qikfVsMPZ5rSRulVohm2JhYeHRnMQg+3xqwrIW6bDDOnytO1jwBILh+burbtKVQXhJAqJxf07D7Bt+W7EnIrDub8vUZR404Nl6Fi0r3LcuaOX8Oanr2P+qGX49dvfsXH+dnKORWJavsJ+iDt3zbijORIrWtdK3+HE+FsPOc9U1cHkNCuR5ke1njafnx6VDeo3aLZLVRk6Se4hn9dWCTj5WNX1rKLOVo6xPJRM5bnxmqJhC0W4DUBuD3dM3jIa12MTEPhcEbxZbpDytxCvh1YviTJVS8KvkC+SriUj/sL1h/6GJcOK08I8e2hN18vSC5UcQkMekJUqC7ngavOeKN+n1NWZnDQkE5b7nTLjIpDvoVIzL/kel0u6P6oaikk/HB+yS/P+8nmkJmXqNymN2SlTo8GW7UZdz7JkkZ1khmEcEr8Cvhi9YjBO749Gw251cTMuCYs/XoWaLarg4skr5CQHmTSwI74fgFEtJiA9NQN3k+9RYxDRLjn+4g0lQiu0sXF3rlnKmCmeIvWptlyYEs2sSrmZmms8VPpNdj7plDaizbYi0NbOrRIVliQe1mXZZKydXtVL0nHW17Ehn1AdpxyfiduJt3FwyxHUaVeD3tvLnWtTDep2A5tTm+mw+s/T/sPmv4sN836nGtYMwzD2BDvJDMM4JPfu3KfWxnXb16TnIeWDUbVxGK1nZGSSRrlYaACti3rJ7h7uSE+9S9KA+As3cPX8deQt5Iu09AzcSTRGdlxc3aimLzmC5O+anUiDJaoiyx/kxiMCJ6sIk2m7iHJnpmeQRCE9zfI6aYCV2sJWUgzr5xrOryqpUMJ8XjEeEVEX79dmEuBDEW3lTVqeyUlTuXKhXqeaSLx2C7k93dGt1ABliKK9tNk5NlOtaSVaGIZh7A12kh+HrE41ZKFvvapPvVT1QrWPPLUkZeOqbojStItmdQg5w1eWc8jTKxpVMjKk7Fqt9+jkkdt2IxVpKko+p5zJmyFPM8mficYUmyNm0zKPT+r9VNIj34i9iYFz+qJ530aq152dnRBSIYjW/95+Autmb1FeK1U5BDEnr9B6UsItlXMYFBqAlMS7eHDvAZJvpJCjWTDYn5qPCKf8XorpO25OslMisqYTCAeY1tXd8TJNjnS6aKphJdOgR9Nz0jabv+uyY2xyms2vW1BHk4XsIfZ0nHIcBa4NwFUhIZEj0ja1zOYotRPGLItA7Okr1Fr6xJ4zSLj8j3LOtya9gQq1Q7Fm5ib8PH2D9F6AS1GXSbYiuumJjogM8zj/f6urNKRpVMawLReUj1VVoJLvubLUQZJbyJKJjORbGg3CNKSVGvJLubGIpuxB2j/jzl3b9/d020245O0y6s8km/IJg2NKLGTYSWYYxuG4m3IPCZdv0vq5Ixfxy9ebKaGubjtjVFlmwehl5MGJzm8i6tx1bHu8U3U4vebl64k7SZabkThXaPVSmLhlNHpVGIqE2Jvw8HRDSIVgbF+5h5xKUTru1IELagdZvpeYKlQYX9OQXpixel0VhZYj1KZ18+vla4fSPdrLxxOBpQtj5dRfyeGOPWV0/tVjkdYfiiTbiEpnZmDJ+J9w/lgMbfPwdldulqK2cZsBr6CVXw/cu235se/t54W2Ea+gdOUQ9Ks2grZ9sm4EwptXeejvwTAMYy+wk8wwjEPqkcesHIJT+6Ph7eeJGf3n0fYGr9VCnfY1yYFu8XYjuLq5Ujky4Q0+V6UERi2NoP0CSwfg/NFLKF42EM3faohvR/yAf64mkZSgULA/PLxywyevFxJiE3Dp5GWLRMIARO2NVrdOt5b9yo6tiGaJfU0RXOGoZ5qjzVYOsPFcVifLzKTyaLdu3la9dmLXKSUKXTjYH9WahOHA5r/h6u6KjIx04zWU8LR6jGIMLs5OFI036oulSLhpv0LF/XH57FUqgXcvxTh75VfQl/TGpw+eUxxkd093VH7pedpeqUF5RJlaSQse3JPa/DIMw9gh7CQ/DlmdatDaLwtTKqqbrYRmwXN5XVUZw8mmnENVmF2jAUfmbUszESd3qe+8nLGrcgoMNsepdU5tbL8v1bSRhhyFpReMSBgTy45Ve5RtonmIqG4hEA5g24jm+GjNcOxbfwg1XrVENdNFq2mAEvcadqmLid1nmZQLBmqO8apPNzTsWgcxUcJBzoBbbheUDAumZECVLdkoWqEdrTUYnVfTNifnXNQcI+m6mM61VKog/TDJI4y73k+5j2a9GmDjgu1Ky2d6NF1T6KuFcywc8jRbjqkqWmxAQEhBdBzaEvNHLzfWQDbvY2ob3XdSZ8ScvIw9vxxUnUbUPR5Ubyzy5PVWtrUe0AS9P+uCW/+kYFSLz2gcY1YNpjrOtdtauucxzH9CQ76o9f+/tgRRupeJlvT/ImnAvUzb0kdZyphukWdkylINrYocsrzwvmV/WbShdR7V+5U+Ey15SbarWDzDcFtqhmEcmnodaiJidh+80Kgi+k7uCjcP4w9D/6L56DF/kbxo1qch8hXOqxzT76seqNGiCiK+7m3cIN1fdv64l0rJ7V59AGH1jd3dLhyLwRfbxsmNtcin7TauPemfqQ11pgF58qq7VDq7iAiyiOpK7axNlKlSAm1FxQdzNNfUPjolIcUocQAQULIQPlw1CBHTe2Jx1FQ4m8qvKWM2rcdGXVZ/KFIbbOOYjTuLMcaeuooves8lbbHQD4tOeE3fbICJm0Zi7uEJWDh2BX6c9qtyqqDnA+Fu+kyFUx0TZZR0BJcLRJdRbbFw7HK8V2Mk9m+IxO7V+zG+w1TMfG8+koXem2EYxo7hSDLDMA5Pi7ca0yJ4oWFFKk8mdMTWxJy6Qo6s2EcsQnIgWla3eLsxtizaTrKF3WsO0L6tBzTFhWOxyrFrZmxAphRJEj6oiMrOOfg53m/yCfL4eWPqtrFYMv5n7Fp7ACEVAnHpZBwSrpiS3gDUaBaGId++TaXS9m6IxK7V+9TJdwbQ2M3ciL2B0a0m4dNfhiP+4nVkmCJNeQv7oVx4KexeK0V7Dcb22dZVLjLSMuHu6YbSLxTHxROXcTvRGD1LvJaM1Tfm0aWFoy/4a+0BSoaUqdWyGs5FXsC+DZHKNhd3F/Sa0BmrJq/DD5/89NDn/M/VRJw9fAHVmnBVC4Zh7Bd2ku0E9XSPq0ZGqkaWrpzBKk2pOEmZubLEQnMKRkKeQtLKllXtI2cHy+eUp8A0smvVF9aaMtOYEtLoO88wWhQIzE+LNX/+tBcfd/iCSsAtOjsDV87GY3jj8cgfkBcz932Gfl92x4XjsYqT/Pf2k6j8UnlsX/kXPb95JRFlqpfCmQPRik9765/b5Oj6+eehig+xp+LQ+/POKPpcEXw9aJFybVE3uGSlYLw5/jWSWKybuxXH/jxFU7zqEm5qexXl6AQb5/+BHh93pHWxv+gQuGv1AYveWDrUfD4ZUW3ixO6zWJs4n2oWi/JtzXq/RK2iZb4evIiOF9vFDwLRuvu14a2oq2Hi9WTqWChIv5+KD9tMQvePOinHlqxUnD6fg5uPoFKDCrh0IhaTus/A6yPaou3A5v/pb8kwtuUTyIIM78nI81SSQo1KVloVmeT7srO3t+19NCQWmjJO+R6qIbFgsg47yQzDMKTdNXZ8E1IKkQh3ZNtxpD1Io+2i1q9wDAeY5RcklXBGePMX8N3IZfTc1cMVF4/FkGbZ7Nx+PXChsv/F47FYN2crOdbCWTQjztv5g9YoWqqwUYOccAvRRy48XKbKYICzqzOVm7NonY2l5E7sPk0RXvP+cdHmroCm/WBsVe3j741bCTbyAYSO2WDApROX0fa9ZpqfkYurM51T1I++GZdIyXgiiTG4bCC6jmmPMa0mKQ65qP3cuEd9ePp40I+DzqPaIH8Ro8RF0LVEP9Jb//TlenaSGYaxS9hJZhiGAdCyXxNqLCI67RV/vhh8C/jg6vlruH/7Pv78WcgegNVfbVAiMiEViuF67E1UaVSB3NBW7zbF0R1ROHvo/EOJe65uLshIz6D21qJOceQfx5XriojsuDaTybH+cufH2LcxEvdu3bPZxl4k82WkPRwVTohLxIndZyxNQcyYah87uzrhu6NTqDTeO1U/MCUBWmQcoqlKaLVSKFXZ0gL6j2W7cWr/Wbw2vDW14xYEhRalCLvQQgsnefvy3ejxUUcUCi5AGu7Jv4/BgtHLcfPqP3hvVm9y+r8Z+j3SUtNxN+Uuhi8yNhYRdB3XASsmrUGHoa2e3B+RYRjmCcJOsh2iVb1BtU8WqmHI0zTZlTFoSSNUx6ZqjSd7UzxZkX8wzNNGdNwTDqGZvAV9MWxhf9xOvoOb8UmUnCabY9r9VIxu/hmtvzG2A2YOmI/yLz6HYQvfRfz567hwPIa6y53ccwZzhy5WZBXVXqmEHz75+aHri+/+9H7zMGhOX6yaso6qZtRuUx25vXJjx6q/kHovjeoMj1s1CG9VGY6keEviW5783lj04QrkK+IH/6J5kXAl0WJ7BpEw6EPl2IT2OF9hX6o2kZ5qsc13pnZH1UZhpCteOXktGrxeC9PfNeqRt6/4C7XaVMeAGW8qcgpzpFqM8a7ZoacmLc44+ddpWo8+fBFVGoWhQJA/4qLjUbRUEdX7bdy9Pi0M8yTIUkULWcqYBYmFZnUpqblVVpqKad4f5apTcjORrEgKNSp7aB3L/DfYSWYYhnkEWxftUBy/CZtGIazu8yhfpyymvTVX2efEX6cR+bsxOuyTPw85lVUah2Fi95lUDUPgmccDpw+co8VMibAgkna4uLrg2qUbVELuu1HL8Otto1MtEBHovesPIvVeKk7vPwsvXy98c3gy/vxxL/wK+yLl5m26/tbFOynZTnYK/Ivlw83LiVSe7bXAtxBYJgD/xCfRa+VefA5FihdEw651UaVhRdr27fAlVPdZJDAWDjFGpcU518/Zik3f/WGsKW0AmvV5GXkL+ZFe29y50PwjoHqzypSMWK9jTXKa5xyeRJKV4uUt+zEMw+gBdpIZhmEegZAWCERCX3C5YqjauBIObf0bl03tnYVjKPS4p/efo3Jpi8atwIrJazHux6HYIbrwmShdJYSS/WQCnwvAmOWDyEHuVnoAyTFc3NT/LQsnNeWf20rktnW+nihfqww+XjMMx/6MwpQ3Z1MCXadhrZC/sB9WTV1Pzqxwhm9cumnsgC268QG4fOYqSlQMIqf8o5+GUt1jIYW4Eh2PwiEFULddOJaevYrG3eqh+0cdcXDLUUzuOQu3k+7Stc3dAgsWy49KL5UnvbGMW243fLp+pGqbh7eHzUoiDMMw9g47yfZONvunZ7vCgzRNo6qGIWfUahRdN6T/e5OUrEwDaU57ZWEai2GeNlWbVkKfiW9QXWVzVQxRqaFgkD/uJN/FkHnvkBO4Nmkhvh22GCun/AI3dxfS95YIC6bKDy3eaogDm4+Sw1qpXjkc/fMUvPN6od+0HnQ+oen9+sDnFI0WjvYvszejed9GVHrtj2W7LM1BDELmkUb7Hdh0BEsnrCa5Q8zJK6Rtfv7FMvg+egY2fPMbpvf/zvgGDED+on4oW+M51GxeBY261aPNovudiPh+9e48RO09S+/txuWbVH2j0/tGnfCLLati3vGp6F1hCHXR6zjkVXrvIoFQJN655nbFzH0TUIKdYMZeke818j0rC42otKSAchMulfTiMe6zmk2yNKtdSfD98anBTjLDMMy/yC2EDEEQVDaQIq8/Tl2Hd6b1RM2WVUhSsGbGRvz67Va8MaY9Pl47nLrvidbYcw9PouPizsVj+edrab1AMX+sS/meqmOY6w8LSoYVp4jt0Jc+UiKwjbrWxW+Ldxp3kKSMwkn9uMNUcqgFIvp8+fRVWtpFNKeW23mL+FFr7dqtq1Oy4KyIBfAPyEdOsnCwRzafoBwrEA6yQES7zU6yudnK6oT5qs9k+cQ19Cgc9hkDvsO07R8/8c+dYRgmp+GOewzDMI/Ay8/YJc/ZxYkkF7MHL8TOVXswpdcscpAFoqucKPG2YuJa1Hy1KgoGFVCOv510B2NaTqRoT558Xug8qi3pjIfUH4uuJfvh0kljQ5LDvx/DSJEIKCLGuUQ9Z2O5NFFT2Uyrfk0wZuUgYxk4kTt73xhZIq2wSDYs5Ithjcfjl9lbyDnuNrYDSlQMxqb520i2sWbmJqrgIapcmBHRYgWDgSpkWCOaqmz49jfs+nkfHtx7gFb9m8KvoK9S8cIWP3z6E7qV6q9UBmEYhtEbHEnWK9mVImjtL61rTRsZMh/jt9QTGhvD5BR12objq78+hZevJ2mIqzetjKg9Z1Td4tq81wzrZm9Gy3eb0PPUB2lYO2sTdZYTSXUxprbQQt8cWLoIju+KotrGAtGcRGid/1qzH6l3jRnuE7eOoRrEArmhh+hil5megUFz+5JTHX34AumJzVFm4ZCLBiM/f/krWpnGImg7qBmuXriGlzvXpuh13fY1MGppBDn9ol23iHx//+FKZKRn4t5tiwNtZsn4H7FswmpaL1KyEBZEfYWFZ6bjwtFLCA0vTdtnvvcddeSLmN0X4c1eoE57os60iLqLz5BhcoQs3F+0ZIpaUsCsSCy0ZBJZkmdoSUS0rqXZMIV5XNhJZhiG+RfK1XhOWReSCtH8wsM7t7JNdJaTu8uN7zAFe9cfpnUf/zz0KCK0n67/gNZFM5H6nV4kTfDLXerQNlGezVwFo0KdstL12lHkuWrjMIzv8AVJJfpO6orRywZSBHnu+4sRtecsJdGVDS9NkdvXP2ijGv++9Ydw5Uwcju4wJg6KRD5xfTOdR7YlPfPf20/g1XebIDnhFlXpMLew9vTxVPYVlSpEZNnLxxPlaxvHKZ6vnbmJ1jfO+42c5NdHtMGm+X+gbQQ3CmEYRp+wk8wwDJNNhCP7KITza6bFW41RKMgf4S2qUDUJgaubK0YtG6Q65k6Ssb2tkDOIaLDYRxBSPggf/jTU2MEvwqgNPvTbUXQY2pKqVPT7sidtE+2kT+07i4lbRj/UdluUlhNcOBajOWZR01ks3438Acs/X4M67cIxdtVQeq3j+y1RqHgBHP7tKI3H2IxEXdVCVNcQkeSW/V5RmoWIhWEYRq+wk6xXsitFeBzpQnaPza4UhGUVjIMxZuUQbF64Hc+/+ByqNa2sRGQfRc9PX0e+InnxfK0yNp1wcY4RS97D7jX70WmYpemJIPFaEqb1naO0jn7v6z7KayKp8E7yHdRuF472g16lbd8MW4z1c7eibHgptB7QjHTUZiJ/P0aPh7YcVbYJyUeDTrVw/u9LmD1oIemTvz02VfW+en/+Bi0MY1c8juTvcS6rVYkim2RFSqHVXIzvrY8PO8kMwzBPmICShdFz/GvZOkZEmbt92PGR+9RtX5MWa0Q5uWKhRXH59BWUrx2qem3u+98jPTUdefJ6k6RCsG7OFmq3ffi3Yziy7QTWJC2Ch5dRPlKpQQVqeCKS+6KPXECpSiHKua5EX6XH+IvXkZmZqSQuMgzDOCLsJDMMw9gBQne8f2MkgsoWfaiFsxaXz8RhUo9ZCC4XiNmHJ+LB3VT45DNqoM006/0yNi/YhqTrydi6eAcada2HdgObU2KdQCQkmkvJCcrWMCbiubq7wttU2cPMu9N6IKhMUeomyA4ywzCODjvJzJOHp3gYJtss/fRnfP/RSuT2yo0Vcd9o6p5FktydW/eQt6AvJcZF7T1Di6iwIcq9WTNgZm9TO+xozBzwHTnJIslQlI87czAa783uq3J4a7WujrlHppDzLJqcyPgXzY8e2YyQM8wzc896GrKN7Far4PvvE4WdZIZhGDsgLdWoYczMyIAh0/aN7t6d++j9/CDciE3AqOWDUbdDTfy+dBeKlQlAsdAAzXO/9HptREeeVyppCC2xqJChhS1nm2EY5lmDnWSGYRg74I2xHUhXLBxUL1+1zMFM8o1b1OZacHr/WdTrUBPLYowJe49ClKxrE9EsSwmEDMMwjBF2khmGYewAN3dXkkI8isLFC2LQN29TE4+Owyyto7MCO8gM8xSwh2oS9jAGB4WdZIZhGB0hEvEYhmGYp89j9BtmGIZhGIZhGMeEI8kMwzAMwzD/BXuQN9jDGBwUjiQzDMMwDMMwzP/bSX7w4AEqVapESSNHjhx52pdjGIZhGIZhGPt3kocNG4aAAO36nQzDMAzDMAzzTDnJGzduxJYtWzBlypSneRmGYRiGYRiG0Ufi3rVr19CnTx+sWbMGnp6eWZZmiMVMcnIyPaYjDTA8rZEyjH1D33+Rm2HIeSPQstFbt27l4KgYJucwf/ft2T75Hso8y6Q/zj3U8BTIzMw0NG3a1DB+/Hh6fuHCBTEyQ2Rk5COPGzduHO3HCy+8PLycO3fOkNOwjfLCi+2F7ZMXXuBwNppL/JNVh3rEiBGYOHHiI/eJiooiicXKlSuxY8cOODs74+LFiwgJCUFkZCQl8WX1V3BSUhKCg4MRExMDX19f6DXKUKxYMcTGxsLHxwd6g8ef84hoUFBQEBITE+Hn55ejY3E0G9X790Pv43eE98D2+XTR+/eDx69vG82W3GLIkCHo0aPHI/cpUaIE/vjjD+zZswfu7u6q16pWrYouXbpg0aJFNo8V+1sfIxDGrdc/jhkxfj2/Bx5/zuPklPMVGx3VRvX+/dD7+B3hPbB9Pl30/v3g8evTRrPlJBcoUICWf2P69On45JNPlOdxcXFo0qQJVqxYgfDw8GwPkmEYhmEYhmF0n7gnwtoy3t7e9FiyZEkEBgY+jUsyDMMwDMMwzBMj5+eHHoGYNho3bpzN6SO9oPf3wOPPeez5Pdjz2LICjz/n0ft7sOfx2/PYnpX3wOPX93vIVuIewzAMwzAMwzwL2HUkmWEYhmEYhmFyAnaSGYZhGIZhGMYKdpIZhmEYhmEYxgp2khmGYRiGYRjGCnaSGYZhGIZhGEbvTrJouSlaW+fKlQtHjhyBXhCtuXv16kXtuT08PKhmtChJkpqaCntl1qxZKF68OHLnzk1NYPbv3w+9MGHCBFSrVg158uRBwYIF0bp1a5w+fRp65fPPP6fv/MCBA2Hv6NFG9WifArZR+0EvNqpH+9SrjbJ96t8+deckDxs2DAEBAdAbp06dQmZmJubOnYsTJ05g2rRpmDNnDkaOHAl7RHRHHDx4MP0ndPjwYYSFhVHXxOvXr0MP7NixA/369cPevXuxdetWpKWloXHjxrhz5w70xoEDB+h7U7FiRegBPdqo3uxTwDZqP+jJRvVon3q0UbZPB7FPg47YsGGDITQ01HDixAlR29kQGRlp0DOTJk0yhISEGOyR6tWrG/r166c8z8jIMAQEBBgmTJhg0CPXr1+n78yOHTsMeiIlJcVQunRpw9atWw316tUzREREGOwZR7JRe7ZPAduofaAnG3Uk+7R3G2X7dAz71E0k+dq1a+jTpw8WL14MT09POALJycnIly8f7A0xfXXo0CE0bNhQ2ebk5ETP9+zZA71+1gJ7/Lwfhfgl37x5c9Xfwl5xNBu1V/sUsI3aD3qxUUezT3u2UbZPx7FPF+gA0RSwR48eePvtt1G1alXSJumd6OhozJgxA1OmTIG9kZCQgIyMDBQqVEi1XTwXU156Q0zRCR1SrVq1UL58eeiF5cuX0zSdmCqydxzNRu3ZPgVso/aBXmzU0ezT3m2U7dNx7DNHI8kjRowgIfWjFvGFEoaQkpKCDz74APZGVt+DzJUrV9C0aVN06NCBftkzT/+X5PHjx8lg9EJsbCwiIiLwww8/UNJHTqF3G2X71Adso8+mfQrYRu2ffs+wfeYSmgvkEDdu3MDNmzcfuU+JEiXQsWNHrFu3jozFjPiV5uzsjC5dumDRokWw9/fg5uZG63Fxcahfvz5q1KiBhQsX0hSMPU4Viem4H3/8kTJazXTv3h1JSUlYu3Yt9EL//v1pvDt37qSsaL2wZs0atGnThr7j8nde2ID4zogMdfm1p4XebdQR7VPANprz2ION6t0+HdVG2T4dxz5z1EnOKjExMbh165byXBiJyBIVX0BRViUwMBB6QPz6bdCgAapUqYIlS5b8X5yc/4r4XKtXr04RCPN0S1BQEBmM+OVv74iv9YABA7B69Wps374dpUuXhp4QUZ9Lly6ptvXs2ROhoaEYPny43U15OYKN6sk+BWyjOYuebNQR7FNvNsr26Rj2qQtNsvhiyXh7e9OjqJOoJ+MWv36Dg4NJQyV+PZspXLgw7A1Rukb86hX6NWHoX375JZV+EV8yvUwPLV26lH4BizqP8fHxtN3X15dqbNo7YszWRuzl5YX8+fPb1c3XUWxUb/YpYBvNWfRko3q3Tz3aKNunY9inLpxkR0DUGRSJBmKx/k/JHoP5nTp1ov+Exo4dS8Yhis9v2rTpoUQEe2X27Nn0KP5TlVmwYAElsDCMnu1TwDbKPEvozUbZPh0DXcgtGIZhGIZhGOb/if0p3hmGYRiGYRgmh2EnmWEYhmEYhmGsYCeZYRiGYRiGYaxgJ5lhGIZhGIZhrGAnmWEYhmEYhmGsYCeZYRiGYRiGYaxgJ5lhGIZhGIZhrGAnmWEYhmEYhmGsYCeZYRiGYRiGYaxgJ5lhGIZhGIZhrGAnmWEYhmEYhmGg5n/5pvO8C6LHbgAAAABJRU5ErkJggg==", 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", "text/plain": [ "
" ] @@ -274,7 +274,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 13, "id": "c7d87086", "metadata": {}, "outputs": [ @@ -282,17 +282,19 @@ "name": "stdout", "output_type": "stream", "text": [ - "0 tensor(14.3856, grad_fn=)\n", - "50 tensor(0.3443, grad_fn=)\n", - "100 tensor(0.0761, grad_fn=)\n", - "150 tensor(0.0318, grad_fn=)\n", - "200 tensor(0.0243, grad_fn=)\n" + "0 tensor(16.9097, grad_fn=)\n", + "50 tensor(0.4620, grad_fn=)\n", + "100 tensor(0.1118, grad_fn=)\n", + "150 tensor(0.0385, grad_fn=)\n", + "200 tensor(0.0224, grad_fn=)\n", + "250 tensor(0.0129, grad_fn=)\n", + "300 tensor(0.0121, grad_fn=)\n" ] } ], "source": [ "ndim = 6\n", - "size = 10_000\n", + "size = 20_000\n", "\n", "transform = NNTransform(\n", " n_hidden=2,\n", @@ -318,7 +320,7 @@ "\n", "history = {}\n", "history[\"loss\"] = []\n", - "for iteration in range(201):\n", + "for iteration in range(301):\n", " optimizer.zero_grad()\n", " x, log_prob = dist.sample_and_log_prob(size)\n", " entropy = -torch.mean(log_prob - prior_dist.log_prob(x))\n", @@ -334,13 +336,13 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 14, "id": "edd26498", "metadata": {}, "outputs": [ { "data": { - "image/png": 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+ "image/png": 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", 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" ] @@ -358,17 +360,25 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "id": "57f67080", + "metadata": {}, + "source": [ + "This time we won't make the scatter plot: the density at each point is in 6D space, not the 2D space in the plot." + ] + }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 15, "id": "cf1efa6e", "metadata": {}, "outputs": [ { "data": { - "image/png": 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oTURe0w4cCQq9v2VpZNBYeYFGuYsvvphtkPA5o2kOjZro4k4kEv5yaIaBxRHOYTT4waIJjgje33C9wJUBDStY9+9//3veNYSmPzhk4Dz2LOCAf//733w+o/Pdc3lA4wucErAfaErt1KkTXxuFXBWWBb/FAg62UQcffDC7NuDYwALKc+34My3glgawnaqrq+PjjvXQ+NTxu+CZZ55xBw8ezN9LaBrcfvvt/eapQt8BniWgZ6mH7zE0AOJ7BJ8Dvq/QYFzscyj0PecBLiGF7OA0Vh/MmTOHzym4uuCawbm7+eabsztOe3s7L3PbbbexK4s3JuKa6nieoSkO4y0a/vBdg2vBa9xDEyzGSmwD5z2ev/LKK9mlZ0ljdcfxDtcIrlfsC9a5++67F2tCxvbROKgC12HH819j2cGGtn8pK9dY6YHKM+66oY/S0NDQWBmAoQ5VudNPP13PamloaCwVdOKexhLx3//+l7VcaObBlBKmnDFtpaGhobEyAFPjzz//POtITzjhhOW9OxoaGisJNEnWWCqLHGivWltbuSEK+kLo+zQ0NDRWBnTu3Jnq6uq4RwL9EhoaGhpLAy230NDQ0NDQ0NDQ0Fhe7hYwzEYXOTqVNTQ0NDQ0NDQ0NGh1J8mwN4F1mJoIo6GhoaGhoaGhobHakmR4VsKbE+bvWgumoaGhoaGhoaGxMuBPb9w744wzOHoRGeXXXXfdry6L3HQvOx2AYTaSphBKsaTwCg2NVRVoG0DTJNLLkIy2PKGvUQ2NfOjrU0Nj1b1G/1SSDMsdJCQtTYwxgGQmJDRpaGgsjpkzZ1LPnj2X6z7oa1RDozD09amhsepdo3+auwV2BtGPiIr1tMiIchw8eDDdcccdS3UX3NzcTL1796ZtaS8KUfjP2E0NjRUeOcrSF/QuNTU1UWVl5XLdl2LXKK73ioqK5bpvKyLSyTQ9dNHTlMvk6JRb/k4l5fHlvUsafzBaWlqoV69eK/T1qcdQjdUZud8xhv5pleTvv/+eFixYQBtvvLH/nG3bNGzYMLr77rv5QkZOuopoNMo/i+9kmEKGvsA1VlPI29gVYbq02DUKgqxJcgFUEF36+LnLey80/gKsyNenHkM1Vmu4v/0a/dNI8i677EKjRo3Kew5JR+ussw5ddNFFixFkDQ0NDY3C+ObdH2jMl+PpoHP2pqpOy7daqaGhobG64E8jyeXl5TRo0KC85xBrjAaCjs9raGhorG749r0f6YePf6aDz92HOvWsLbpce3M7Xbn/TeTYDrXUt9E595/yl+6nhoaGxuoKHUutoaGh8Rcjk8rQlQfcRHbWpoZ5jXTpM8VDliLxCNX1qKEFMxZR73V6/ObXnDVpLrU2tNG6W6z1m7ehoaGhsTrhLyXJQ4cO/StfTkNDQ2OFRCgSop5rdaPpY2dR//X75P0NvdT48ayKwpEwPTTqNlo4q/43k+S5U+fTyYPOpVzWppNvPpbW3nQN2mCHgSuEjlZDQ0NjRYWuJGtoaGj8xQABvve7m5j4dl+jq/88qspnbn4JpRJpuv3za6nPusKuCK4Y3uPfglRbigky8PBFTzMJv/z5c2mHw7b+A96NhoaGxqqJ5et8rqGhobGaIhKLUI81u+VVcyd+9wsTZ8giRg0b94e9Vr/1+9D171xKf7/qMCbIAIi4hoaGhkZx6EqyhoaGxgqCjXfbgPY5dTdKtCZppyP+2Crv5n/biH8GbbcOtSxqpe0O2fIP3b6GxmoDQ6kvus5vX0ZjhYcmyRoaGhorCCLRMP3rvj/XvWKjndfnxsEvXx9Ba2/anzr37uT/DVXmWRPnUOfedRSNL+63q6GhobE6QZNkDQ0Njd8BEMv3Hh7Cmt99TtvNb7hb0ZBsT7GVXNOCZlpjw7405JnPqapzBT0/+0Hft/65G16jxy5/jnqv24ObBX/tveB9/zxsLNvXqbpqDQ0NjVUFmiRr/PEoNs2kp580VlG/49tPfYAfg3Ruf8hWtCJi/DeTaOQno/lxJCbS17iZT6ZRAZ+9ONy3i0OUNnTTxfDuQx/THac9yNt66pd7qKZr9Z/9FjQ0Vgz8nnHtjxoHl9frrmbQJFlDQ0Pjd6C2ezVZIZNcx6W6XwkFWd4YuNUAWmNwX5oycho1zG2icx88lTbYfiBZIVFFtm2bpo6awY/XHNzvVwky0NLQxv9m0lnKpnN/wTvQ0NDQ+GuxYs4LamhoaKwkAKF8fOJd/DNwywFLXH7Cd1Potf+9y815y4r6uY2UTv42VwpojEGKgUWzG2jzvTamsupSJscAJBd/O3kXKq8upcMu2G+J2/NcMkLhEMXLYr9pnzQ0NDRWZOhK8qqGFWFKRUssNFYzdO3b2X88c8Jsuvfcx2ngFgPo2KsOzVtu2piZdObmF/Pjz14aTnd8ft0SieiDFzxJE7//hbbYexN66MKnqFOvWtpwh/Vo9uR5dOHjZ1DPAd19Av3zZ2Npi703Zl/lQjjykgM53nqtTfrTJ898Tg9d9DS7XVTWlvP2YD3X2tjOVnQ7HPrr7hqonHtwHIf3VYeTaKzIMKT2HnDlzeFv29CSxzXDDK4FV32pYssr+1bsOstbd1nHUz3+/iZokqyhoaHxB+KV29+h794fyT97nrQzN7Z5aJjX5D9OtqX8x3bOpnFfT6T+G/bNI7hzf5lPL9/2Nj+eN3U+/7twZj19/PQwfvzBY5/SSTcczY//b6eraPbEubTNgZvT1a9c4G93+BsjuBGvz8BeVN2lis686ySa9MMv9MAFT/Iy476axMsBVlgM1PVzGpb4Pg+/cH9u2Ou1dnca/cV4+s9Rd9L6261LN7x/2QrbvKihoaGxLNAkWUNDQ+MPxNb7b0YfPfUZRz/XdKvK+9tGOw+iU2/9O03+YRqdetvf/Srs2VtfRhO/m0K91u1Oj46501++S59ONHjnQTRq2FhaMKOeKjtV0D9uOJo+ff5Lrlhvf2jQJOjaolKESrGHp699hZ6+9iXWTL8w9yGqrK2g4W+OoKsOuJkMy6DtDt6SdjhsKybdc6bMp2OvOITmT19EG++6Ph3R8xQyLZP+N/x6quuxuNYaMoudjtiGpo+bRZ889wVl01n64eOfqa2xnSpqy/+UY6uhoaHxV0KT5JUVxaZ7lmIqp+g0U5FtFlu36DbV7awIU2MaGr8CaIPnT1tAfQf1/kPkAgjseLvtad4Wth2NR/zmODy39ym70TPXvkxDnhpGB5+7D1dhQZCBmePm0PSxM7nqC2C9Wz6+ii7c7d/045BR7F+854k7808um6NZE+fS+499Qk9d8zKZIYtOv/NE2u3Y7f19mfLTVP7Xzjls19Z3YC96+ba3+DnXdmnBzEX0zPWvcOVZtXH76MnPqH5OIz8e8+WEovHVd531CL15z/s8tbzBDuvSZnturAmyxh+D3yPVK7LuUo0jxcavZZQ6FB0Ti6y7zPum5RN/CTRJ1tDQWG0BmcGpg8+neVMX0InXH8Wa3d+LpoXNbI2Wak9zZbVbv850/8j/UrxUNLe9/8gn9MLNb/DjdbZYi7qv2ZWiJVFKy5hoVHI9kuzh8hfOpYcufJoq68o5CATOE5fseT2N/HR03uD5+BXP07pbrEnrbL4W/77/GXvS1299x2QbleaT1jvX1zjiuQnfTubH5+98NVeCL3rybNp09w1p6wM24yoxKsmb771x0ff6+Stf87/Y5u7H7UR7HL/T7z5+iOW+8oCbqLSihK55/UL+V0NDQ2N5QAvHNDQ0VltkMzkmZcDsSXN/17ZGfT6O3nnwI/rwic/oy9e+pe8//InJI2QMXlUWgA0b5A9lVaXUtV9nqu1WTfucspto9DEgY1i8gWfWhDn0/qMg12/Shbtdy5rhcd9M8v9uWga6/CjRkqB3Hx7Cz0EGAVkFTCjgh3zt4bf7BDkcC9Nlz/+LNt1zMJmmwTrnpgUt9NFTQ/nvIM/Txsyinmv38Mn9D0NG0bFrnEF3nfmw/7p/O3Fn/7E0u/jd+PL1b2nyD1Ppp6FjaNSwcX/MRjU0NDR+A3QleRVGnlxB7ZAttnyRbtxi00bFpBdFp7qcpbgnW9apMQ2N34FYSZT+886lLEXY/8y//ebtLJrTQOfvdBU5jkv7nb4HVaDim85SqlU054UjwVctbNienHIPk82ztryUWha1UCaV9f8++svxtN42a+fFQsN/GcQ2m7ZpzPCJdN2Rd3DlGdXgwy/an+UQ/z3xXpr0/S/08VOf0cIZi2jq6BmUTmaCnXRF2EnTglbezjsPfUKHnb8vjf92ErU1tPMiIKeJ1gS9eOtbNHX0THbjOPLiA/h13n3oI664v3nvB3Tif47iCu/x1x7BzYCQlexy9Lb0R2CbAzZnuUdJRZw22EFY1mmshvg9ARnLKDs0QuHC6+aNd0vet6ISwT8qNGRpFl9WaaWKYvtprL4yD02SNTQ0VmtsvOsG/PN7AK0xSGw6kaFea/egp6feSwfVnsB/i8QjXLFGJXiLfTahqk4V9MPHo+jrt77P34ZpcFz0U9e8xDKGB3+6lavCn730FR1z+cHsYvHg+ULr3N6S4HXi5THqt34f6rteL9p0tw2ZJAPfffgT/7vGRn3Z3g2vBxx49l705L9fITtr0/cf/kzffzCS+gzs6ZPkGeNm02HdTuHmP7wfeCafs92VTFgPOHNPJtGb7bURE2QkDQ57+Ws65oqD8yzwfi/gBnLPtzf+YdvT0NDQ+K3QJFlDQ2O1B5rZxgyfwES051rdlmnd0V+Mo4t2v5aqOlfSWff8g7bYa2PWDaNhD9HOmWSGLt/7P+xDjAoxbNKev/F1ipZEWAYBwlrXo4bu/PI6uu6IO3ibcybPY73xHac9xL8nW1Nc1YUTBnQNU3+eSbU9alh2cf0Rd9D1suHQDIWo/4b9aMII0Qi4+R4bUaQk4pPkdx4cwq8XwKDpY2flvR9PGw00JNOczgfs9Y9dODAFSCXSdPm+N7E3Msjyi3MepMYFzfT8Da9SNmPTvqftxuR9WdHe3E6v3vEu9dugN2174BbLvL6GhobGHwlNklcBqFNFbi5bZIoku8SpGXU7efIJdfomo0zfUmE5h2EWCROhIlM/SzF9U/Q9amj8TjTOb6IHzheeweXVZXTeQ6ct0/ojPx3DcokFMxZRTdcqrvRCKnHJM/+iy/e5gZdpaxaV2pnjZ1MoIs5lVJ09IAHvtlMeoHHfTOZr75z7T+GKsif0zWay7D7xy8/T/XXqZ0svY8WRAxVgeCB7eP7mN6CyENeh69CCGQuJ4GHsEpN0sQ/GYtfgjkdsQ5+/+i0Tangno/lw8E7r+X8PR8MUjob4fXuSjiv3v5nGs07aZQu8F+Y8SHed8TA1zG2kCx4/k+q61yzxWD53w2t+U+OzM+7P85jW0PhN8oBiUKUURcbNvLFMdXwqMlY66cD73IwrgT6K7MFRxtCiksgi0pH8cbCYLGQpnKZ0EMlSQzfuaWhorNaAfhguE3BygN/vv7a5jPXES0KyPUVfvPYNbXPQ5rTrsdvT0ZcfTGtu1M//+4LpC5lIAs0LW/nflvo2WmvjforWFs164mu4RLo4WJZJE777hRsBmc2Sy2T0+ncuYtcJJrneuvwj4bpMfGu6VgdddIaxmK3dVvtsTIN3Gkjp9hRLPLxeBDT/YdEz/nciXfDYGb6O2s7k+EYChNuTeWAf7/76etr75F3ov0Ou5MryeDhl8GsZFItHWOv88VPDuIo95OnPl+qz8NIDK+sqqLRSu1poaGgsX+hKsoaGxmoNy7I4MOO+8x6n1+58l8Z+NZEb1Hqv0+NX17t492t5WRC6lxc8shiBfuLqFyibzvnPdevfmdqbE6zffe3OdyRBFgT1iIsPpOP+fRj9+5Bb6eu3f6ChL37Jz8PpIhSN0Mzxc+ikgf9HyUSGDNMkV8oueH2FA8dLI7Ro1iJ+HCuNULy8lB0v6npUcxof8NWbQgsNzXEuKypEkIYgKW/a2Fk0eMdBFImG6e9XHUKv3fUeNwEmWlOcJIhK+1HSJg9yClS8gZaGVuo3qBdNHTWDST0a+9bZbC2Ov26c18RR2UsD+D8P3Hptqu5SWTRaW0NDQ+OvgibJKziKduMqThTLGvyxNFM8eVM2qpQiEgmeV5ZxnVyRruElB5TkyTaKdOMuqzG7hsayANXWA878G80YO4v6bdCHo5Z/DXBz+GWUkD4017fkk+MrX6BX7wShLM1bZ9B267Ic4fOXv+JwD/nKTHafv/E16ty7lr568zuxzQWtFC2N0Q3vX0q3nfwAzZowlxLtad5P6IDDUYt6r9OHJR5tTULKAc4MGzcmzq7Llem1N1uDvnpjBBPkkso4JZpTkpi7tPHO69M37/7I6x56/oH0zPWv0fcf/Uyx0ihd//bF9OAFT4lKtGXxa+K1+63fe7FjAS3y39c4k1LtKdZWIxUQDhUgufeOuClv2YZ5jRw2MumHqfTOAx/R7sfvyG4fKtAkiCr6pnsMZrKusZpiaSQTSzH25ckn8sa+3JKlhuruFHFwUiUWecuoY+tSyBoN5b042WDfzFi0iNxRgbKuqYzRqrRD47dBk2QNDY1VAiBgkDPA6eG3AJrfGz+4YonLgTAiRjrVluab1ZouVawDBrm7/eQH6KfPxvBy2JdYeZyXA2kd+sJwyqayXBWGpdq+p+9O7z70MWWSQtrx8h3vSEIqGC/0wjcdexfVz23i1/GHXNfl6veUkdNkNRlSCVMQ2VBIVppdalzQRt+89xP+yLx4wKZrclUY2xm41QDWQXuVbMRXM+Tv8HAWr2n4GmTsO7yW/37VoXTEhfv7x+Obt7+nFLTNhkmb77UJnfuAqC6/fvf79Nb9H9Kux2xHR158IL1+93t0z9mPUv8N+lAul6MZY2fTj5+Oomem3udvC42JZ2x2MeuY9zl1N/rXfWJbGhoaGssDWpOsoaGx0gPVzOMHnE0nr38effq8kCp0RDqZpttOuZ9uPv5urgSruPOfD9LBnU5kuzUVc3+ZT9cfeTu9egfkEQEWzlzkF3BAYh+/8nk6c/NLfILsIZsSFaGSyhL2JgaB9ZL+BmyyBhmhCFnRKNX0qKG5UxZwZZmXwUyR69L8aQvJYm1wMHNkWCal2mT1Si631b6bMkkPFlJmiiTxXTCznm54/3KWTgx55gv6+bOx/nLhGF7DZfcNpA4+859XBEF2XN4GXDqghca/b933Idm2TY9e9izdfsr9VFFb5r/slvtuwnZ3r/3vXSbEsJR79LLnqWFeE2uUgWmjZ9DALQfw4/W3XTfveIHoI/lPfF66CqahobF8oSvJfwGWRgJRTPawNDIJVXqhTtMUg7quWRo0x7jJZOEpIdmNz8ukA3soIxpMA2Gg95fJZJfcNawsn7dvyVSRcJMicoti0gstyVit0N7UTklJHOdPA9lcHN+++yO9J9PoNtxxPT9CGYQVSXkoyn7w+Ke0w6Fb8XMg28Ne+oq+eus7rgIP3nk96ty7E1dZb/7oSnr7gY/o/cdEQl1pZZnf7Ddwq7U5kGPa6JkUiYXItKLcHIj9AwmELzHCP8pry9keDmicH0g2sAzKvagKQ3ucRsXasgSf5b+JZj6vKc81Tfry9RFiZVMSW9tmMi0LzT7hP27tf/lNfYI/owxNdP+Pt9Bjlz/P24HO2pNXuLiM5EuK69Ggwy7cj0Z/Pp6dKIA+6/Wi/7xzCb/QZnsMpieveYme+vfLvuwDz08eOZWO//cRFCuJ0UY7D2LpB977YUpFGkCFHFZ4o78YT9sfutUfdn5orOQo9t2uujqoY2KRsVIdR1RZgjpOqa4ReW4Sedunwi4W6i6rkomwMj6qY7SljlPBeGeqsg2VMyj7bBSTSqrjuyq9KCLhcFLppXDSyNLqCk2SNTQ0VnrAFeHKl8+nuVPm0f5n7llwGThY1HSrZgI8aNt1/Ochfdhgh/VYB4smM8QhQ8qARj6GQVTbvZpO2+gCtm97bMKd1GOtbrT1AZvTsFe+4ar0p89J9wbTZBu3sioxcCbbIbUQvsIe4EuMKmldt2ra7djtaMQHP1EoLKrDoUiIGuc2YqfkawuiyYO7N4aCwGIQBYlFA5/cR0PVD5smWZYhGvNCcluu42uaeVfl41DIpLO2viIvDrujI4Z4WUGcu/TpTP8+7DbfyWLRrAauKm+08/q06e4b+o4esI6zccPsEl2213/omen3cqPfjPGz6aSB58hjMZsJugqEseBHQ0NDY3lDk2QNDY1VAtsd9OvhE/DcfX7WA0z2TN9GjWjCd1OYGAOTf5xK5+98Nf396kP5d49UNsxp4qIopABfvPYtffzkZ7wsV3ixDLtMBHZrrU0JJsz8N3IpWhqlZEtSOLoZJn38zBf04n/fyts/VIDeaH6c7j/vCXrv8c/851kbjOoQfiyTrEi4w8xTYPfm7bPj2uSiDKzsk7eY55nsPQkHDs/l4rhrDqNUe5qmjppO37wjmvrEKuJ4gZRfdeDN5HC1TWz32/d/ZP30129/z7KKH4eMok49q2nbg7agDx4byu4aQPOiNpr0wzQa+YkINgFw86GhoaGxokKT5L8AS+XYUATFjMeLTSdZqnzCqzJh+bAydZLNFnzsV5w67oMqgQgry/ijbj7UZfLz67NLlG0U68wt1nGc76Shp4c0CgM+v1fsfxNXjXc9Znv6+u3v6OjLDmZpRHXnCq5+enZtaILb8Yhtab2t12Gpxet3vUdVXSp5GwYZrKP1NMqIhYaHsZ1xpD548dc2TIuSrWn2FH77/o/4WmxY0FpgQaJztruCZk6azySeK7dB+ZiMsMXnuHgJnPeoHIfENcDVZkf8TaoxkFo35ccZvB3+LsAPGvuY+Bu8npBRCAK8y9HbckMeiO5RfU/3SWz9nEa/+owVnJwbEHciOuqSg+iRS58lM2TS0Oe/ZJIMvPa/9/lfKxSiHY/Yii7Y6Spqx40CosB324C69etCp98pors1NJbWsUH9zi86tjqFHS3y5AR5Y9mSJXlWdaX/2GlPFBzLrKqqYBlVvqiOcXn76RRxkSos88iTRijIc7tSt5+nUlTki4r0Io9LKFKTpeEnqwM0SdbQ0FjlMG/aAvrug59ou4O3YB9jRCdPQNgFKscjJnOSHFwnbh16DeuMn556L8smFsyop6pOFdRrQHf+QTiH47gcyXzWVpcxkX7tf+8xwU62JmmnI7fhQezDJz+jV+54m0NDuvXvwrIPwDVMX7/4zsOfciXYr8oaJlkhIy8meupPM8hUBkhvAIvGLUqn5E2jYLbBTSrrkKF7DIlmO4yFOZcm/zCNCTkTbVST8dpSNoHBmeUZytg65OlhtMXfBgvXC7np1pYkkwk3ZwuSjXWw//iXe/1cevWud7kpEHj40mep/+C+vF1IKXIZm5sCO/Wo9QkygBuNY644xP890Zaku05/mGzbYUmG9kjW0NBYEaBJsoaGxiqHC3f7N82dMp++fP0buuG9y2nzvTamtTdfk0ld5951LJmAHMADtMAVNeXUc63u9OXr39LwN0awRdtFu1/LUoKWRS3CBi2do4+f/YJ/zrv/H+xL/M9NLmIiLWDQ3F8WULyihNKprOizc2QTnNQKu6haycVzWVvNAuFmOwdNd6YldciCUGfgLuHKmR/TUnxVJVnGRpgQs48auZCBeHIPGTpieMQa2mRTkWF4wSRE9Mjlz3OQihESr5FD1RhEnZv35GOlKoXnJn4/TWihHZv9n6eOnikkHzmHymvKqLW+hZ6/6fW8piSElkwfO5N6r9uTo7tHfDDSr5i1NrTxzcez179KW+y1Mf3z9uP9dYe+8CXrn/c5dXc67ALR9Dfpx1/orjMeoU1234COu/rwP/hM0tDQWJ2hSfKfZXxezOS8WD67Aqu8vKDUIa8ztyRaJNRDeV1Fd8lVoALduG5OCQFRjceVbVq1im4QFSV/Q0WmeJQpIauyouD28xwwlMcqinUf55vD0xKnh5ZGqvGr0E4ZKx0QiAFE5XWCRDnERDfOb6YDztqLLnvuXJZVfPPuD2xT9tjlzzIRvPati+nqg27xU+SqOlXS/OkLmfwiNe77j0ZRa6MI7/jsla+paWELk1qOig6MjCnZmmKiKdwjRPWVnY4lGYVOWcBrpBMEVCxvkcFk1grkUPgbE1FHXAuGSN3zzn/XMrkRD+AzFN8zOG09TbIhX8+W/3qNf96+ywbBBbObyIxGeX+dXM532sibFuZKtFfMFjcA4q0IKwzXxrsTr5OV1W/IVexsjlobEnxD8dkLw+mzF76ky184l6v8Kr77YCSNGT6ejyFCWf5+zWFUKiO7X/rvm3wT8vR1L/sk+aoDbqaFM+tp3NcTaecjt9VNf6sgijlUqN/NRaV6eS5JVNhlQpEa5ska1TFIGdfMqkB64SrSC3VMLBpKUqLMkihjn9NaQILVQRaisgxTGZfVfbBbgu2EaoJl7OaWwttXj0+xABdj9R0DNUnW0NBYpQDt8EVPnMUewxvtuj4/19bYxgQZAPHa+ahtZQz1e4FVGRFXkT2888DHlEll6NirDqVX7niXEi1JGdqBv7r0w0ej+KfH2j1ozuR5ghiyJAE+x0JTLKA0zknJgqcF9m3dHDl6h2AZJxwq2MWCybdLhMquZ9kGEssE1yECiYaMAuTZIw/ejSw0yiDJKrllmUTY71EACc+rOMv98/YatlH4W1lVCbU3tZFrg1gISQcT5Q4uGGw9x+9dvB6HjJgmHXvlobTLUdvSzSfcy1V6744CwSqQsrwrrfk8QG4BksxvQ7kxP/jcfeiRS56lfU7b3X+u54BuTJLhplHVOSAvGhoaGr8XOkxEQ0NjlcGcKfPomP5n0OmbXMjhGp6tGXTHsGwDJn3/C/3y03Sa/MMvwYrSnWLq6FlMtgAQZKBpfrOf4ueAmDr5EgnW8HrmEiDIsnrL9FSSRUgRhMxBVoBRZZaSBybCqBSjaqWSTu/vfoVZVqW9ZUCOy0q4yYefk9vgph/eFy+YxBSVZewLtiEJcUDiJSQx54Y+/GA/5fKJtgwZFoi1fG2lsldWFRO7zdVmcQMgN+i/x6/f/oFKK0vpwsfPoPMeOpUGbbeOf8NiWAZ17lPnE9w9TtiJrnntQk4FhG4ZMhgPOx+1HT0z/T4OPPGAgJT/vHcZO5eUVwfBJhoaGhq/F7qS/Efh16YgVHmAqZqih5cYnKE+b0RiBTtqTUXSkDfIFpMZJJSuW8UNI2+XFbPxottRnTGKrJvXRasaoatm5i1tyv4oUpC29oLr5k2TLcVnsDQSl1/Faja9tDIBKW5DnvmcWupbKRqP0jYHbe4HdFxzyH85Ie6/n15Da2+6Bh1+4f70w8c/sxVcz7W707/uP5WuOfgWrmZKo2GaNXEuN97NmjDHd6945+EhtMuR23DIBhNO5pPinAAJzWYCuYURNgNSDC2y1AZ7yXhcHQaR9d4AngPZNSQR9s5v7A6TW+FY4bvTyGsOQSNsMQeXCVyftqw6i53yXSy8bWIr0DlzJRzPgdBCaoXt43c53ezLL1S5Fi8vBBT8fmSl25NAtTUmgmtM8WrGOuFYmJv3SqtK2B/6/vMep+8+/ImqOlf4Nx2o2AM7HrEN7Xr0drTRbhtQJBKmO7+8Pu+zXjBzES/ftW/nxQJIEGJSCLjRwb7g3NBYwQO1Osrfikz958kh1FAqRTpYTOqQ5z6hyBvUsbWoTKImWNdtVcas8uDGzFUkDXnjoCKrMErLC7pO4TwuKGVU3qOhSiuVcTxPChIvzBPy3DxUxwxFmlJMskJFxsBf/fxWEWiSrKGhsdLi34feylPtHtbZfE06+96T2cP43YcE+Rr9+TgmyXU9asjJ2TRz/Gz68PFP6cmrXqRkh+jjDbZfl36AhRlcKUyDku3i7x89jbAQpYrri+EDazTYseUFgJgOk2kQYK9SDVIa+BbLJjqPIINcYnuoVnsOF2mk7Qk5BAMDr0e+uXgryLi3PGuWQYgx2MmGPK9h0Ksi5/UqAJBIePsEcu2t5zj+oOmSzQlfjnTEYImGFRWvB8mGN1h6hwcPcAORFgPn0OeH8+fQrZ8guJWdKum0W4+nAZutQXec+gDrwksrS+jyfW+k9bZem27//No8KcfU0TPon5tcyBIT/A3WfUvC7Mlz6fRNL+KP6O5vb9BaZQ0NjWWGJskaGhorLfpv0IdJciQWZveJ9bZZm/oM7EW2bVN5dSm7T+x+/I6+awI8jYGfPxtLzfVtfmqcl71cUhGjnJypUJvS1tq4HyfFpZJCo+sDBdNcjvoP7kfTxswO1mOdrynUFlKnzLpfkFv8LnXAPqFm8iocKNyY6ffZIXLak0AY0YgMLgH5Fgt4y/kzSLkcV5m5wmxYQbOsUgH2tc5ciTZ5n9DAKyQiclsgvbJxz99P0yTTEiRb1S+X15RQW1NaFuNF815pZZTamoJKF9ZdNKeJrnntApa7wG0EFf0hzwzjzwL48rVv/XAXVIzfuPt9GvX5WDrphqNZ0uJZ5c2fvmipSDJSE6EjB/CamiRraGgsKzRJ/pNQNPhDnZFQpjCcrBIIokyvOMo0jalMzVAR+UHeVBEqUh6UKSFDmZbKy4WvUmUbSrUpoXTvlpUGi6jG5soUT960V/Asuc3K9BbrG+X7qlB0hGoXc5Fwk/zpMKvgPheTrKjLr6rTQ6sToF2dPXkedevfmclcKByi5kUtVFZdSv+48Zi8ZdfYsC+dcvOx9MFjn1Kf9XpS2cdl1NbUHmh/DYPef3SoIKsgmX6SHWzGponzxasW4298ugnt8bRRM4KGPI9UyqhoF2KHnM1d7RwFDb0vSKnUEPN28RxLJOTmUXGW5zqTbMuzehP76bCzhZBp+M4TMlREdNSFyMR7iMX8ajLvD9wtoIcOhcR62C+s6zUIsvwDf8e+hcW+4vvFu+bynAXEzra15VhewhIQeQzaW1FdDvkVae+YzBg/h95+cAh98vxw/sw+fOIz/0ahaUEzrblRPzr68oOptbHNjwUvqyql8x7+J/3rvlM48XD7Q7fM+1zzHDYUbLnvpnTIefvy66t2fxq/Eb/D4aCYI0WeFO7X1i8SDlXYXyk/jKOYfEKVERrq+FVMmtgWjIMGrqtCr1tbE/yiSiXTyoyV+jgajONUp7hINTQFj1XZgyqDbM0VlCnmOWYoY7R6HJx0qmAIl4o86UU6tcRx9lexErtjaJKsoaGx0gIJer3XCSqESMIDuUJF+fZh+VP2wMTvp9D0cbPoyatfEk/ICq/flKcMu0yUQSJ9KYFX7VXJMNbzqtGiIu1XefEfr2LrOWhIfa9fseU3gaqtDOsgGfiB57E8vI897bHnPGEYebHaTPJBNsIh7jHwbR2lP7Mgoc5ihFLEV7vCGUMhyL4lnLf/nq6aCb+UlsjH/vvwBlR5XLzX6UiBbjvlQd8W7udhY3mZWGmM3186kaZDz9+P+g7qRWdtdalvKbfhTuvxcvucuttin/9dZz1Cb9//If3jhqN5XQ9wxEB4zFGXHaSb+TQ0NFZMd4sbbriBNttsMyovL6fOnTvTAQccQBMmTPgzX1JDQ2M1xs/DxvC/47+ZTK/f/R4d0etUeurfL/EU/kmDzqMxwycy4UPcMleBlVAME5Vcy6K6nrXSj1hWPByHI5t9zbGE5xDhOUB41WjBSw2WSmB7vF2pR2YC69iCPOJ3XsZkght4KKMhKcJVo46peB5J5mY9r3mPyaiQbDCkG4Yrq+FMgLEcCDe2i0qTR+QhnZAyC99Jw3PDgLxCHhMf2GcveU/uA++vfO/CzAPLIPJa8YWW/yI8xauye9jmwM3Z7s2xXbrp+HvoH4P+j+b9ssB7w9Rjre5FP+9Pn/2cb24eufQZPyp83DeT6NrDbqPzdriSztjs4sVdPDQ0NDRWhEryZ599RmeccQYT5VwuR5deeintvvvuNHbsWCotDabtV1YUncbpgGJTEqYSGpL/h2AEsWKVSwzd4IHPX1e571H3T5FAOL26BIsvalY2FKzrVAefjxkLtm9XBNNM1iIqLO1Q91MZ4fP2Uw0nKCKrwHRxwW7cZLJg926esbzSyQuv12Xp0uXFtBTjTwWm0z9+ahhtsMNAlkH8GkZ/OZ7u/dejtNW+m7Fn8a8B+tWyqjJuCHvg/Ccok8zSk1e/yClwaA5juA5d/+4ldOX+t9DCWQ1KYIao9C6a3SiYqoyQBin8+OkvpGexJLGePEFqdfMIblic54b0KWapBAdGS4LrkVEshL8xgRZ+xVylRUXYa6QzXKE7BvH0nC08f2UPngxDXlO+HZxq86ZUhkWzHeQewj2j0LXK5N/7JSQr3d62lGZA31HZc/vgirxoJvQSA7EcPmd8jnyMvRsLKSsZ9tJX3qvy34WLBvbTpU1335AGbLoGffbicHr3kSE0Z/JcfpVbhlzFLhdn3nUS3Xryffw5v3TbmzR450F0NqrQEs0Ie3GcfOcAjd+GpZkmz3NyKuzYlLedYuEVHZ2dQoq8ga8nb1uKPE8ZIziMx19e+exlkuRizhiKPCPvPag7pIaAmEX2QXWQsJT3X6XIFJGe6T1WG4fbkwXlkXnjqQKjorygLES9jtUgMNWNquhRVz8zVeZRLChNkWoUk8Qsts5K5ojxp5Lk999/P+/3xx9/nCvK33//PW2//fZ/5ktraGiswLj3nMeYJCM04tX6x1g2UQyv3vE2TfphKv8ccv6+FC8trAcE0Jx1/qOn07FrnMHEScCgyrpytj+DuwXwyMXP0YIZwhUDf2tpgKWTjI2Wel9fJuFVVgFJYpnsSt0wQzbB8at5g1TI4iQ8rrDiRhA3kiCzqBB7DXleBZZ1x1ZAWlVyK5sLWQfpEVYlKY+1zLgJViUd3jvH4M/6Y0laMxlhWSWlI9wYmEoLu0XWIodYJwkNJeumUX2WxN6XY8imvmDf5E2GJNYIQ3FcEAGTPadrulTQ2C/HgfHLbVGeTRyivsV+u3TkxQdwQ98eJ+zI+xyRN+h3/PNBapNJh8DdZz1C1711CfsmZzM5eu6GV+nQ/9uPCbEHBMYgfEQTZA0NjZVCk9zcLKqWNTWKuF1BOp3mHw8tLYVjFDU0NJYP/qhr1AuIgH9ufmOl3G59K93497soEg3TjkdszQ4IW+yzSUGCPGvSXBr9xXja/pAtqWFuI1XUlvsloHAswiTs7Qc+pvu+v5HefuAj2nrfTemW4+/xiWiiVVRhfK2uJMpMYjs2hnXU4uKRJ5XwqskcwmEKKYVcBhpiRL56MgyvuuVXf0F0pXTBe10DZFiGgjCpVatdUoPM64J8S8cJrh7j9b1EPeiVvV0FMVXIvH8TEA6T61nGyWASF0Q541V65I2Csr/YTl5UNV6HEwU9ci+kJqDNi+a1ysq1tMKT8CQhTLNth2IlUTrh2iOY6IIQ43Mc+elofl9b7r0x+2FzXLbt0LypnhyDaI/jd+IfD7d99m9uyNxyn00KNvStytBjqIbGSkqS8cV3zjnn0DbbbEODBg0qqmG+5ppraLmhWAdmkSmhX+vMVaf71eVM1WBcNfpWgzZU7aNqJF5EluANluIFlKpJVBlUFcmBiahYf91gGbtWccBAF3whqIOOOmgrcgu3IggoMdpThSUZKhT5RN7UmDKl5dqKGbuyz3kdu4oLh+oWkrf7yvRQsW5fjeL4o67RU245lklv/w165zehSSAeesR7P/LjXY7ejl5e8Gjed8nzN75OqUSKjrjoAPrX1pdSS30bffjEpzRq2DgKR0O09X6b0rxfFooqpcSQpz9nZ4uPnhjqW8HBrSKXc7l5LNUmyTKTdulugYqp5zEMcDy0sD9jAgYXCNUD2dMqewSSK9Je85wkjx3eq5BESImEeIOyaQ9WboqUw5YJeNi+J8mQlWMX5BbLpjNiGhmvC2LK+mGFeOPaYWIcEtVhkGCs40k0WCIh/aCj0TyJh1toWldpJmSHDo+ks1RFvmfpzMOOHK78foPVnawk9xnUi6aNmk6p9jT9Y4P/4yAXO+dQtCRCaf+7yqGLnzqbZx4+eOwTOvBfexc9t9bfbl3/5mfa6Bm09uZrcjU52Z5i3XLPAd1ph0O3olURy30MVcbNPCcnBXnT7erYqIyBDHU5ZfxSZQDqeJrnklTk9UgJz+Kb0AKvlTeeKtIOt0RxnSqJFJZPpJT9lMmdvG/NythUpgRmKY/zOIOyrupr7pQHRQJTmVkxyhX5amMgocy7XvMkKEsOaslzmnLcZXK9+C1OJyuq68VfRpKhTR49ejR98cUXRZe55JJL6Lzzzsu7C+7VS8TBamhoLH/8Udco5BUb77J+0b9vstsG1GOtrux9vP72gvQATQubWUqRahM3mKg+wvYN8DxxQYwXzGzwb+iEuYNDw98cwQl8hZBsE1/2kk/6BM91FF9guEr4WuEg8pn/JsklyzG89LoM0t4cMuLxQLssySZXXnHT6MkZQFrxB8ghMFhwhLTUK0PLj+3CtxhuG0jsww0wVoCdlKojLIkRQaIAQs37ZfA22Z/Z3wdJiDFQwuYNNwI4nHgM/aMlwkr8SrO8UeD3C11mW7tfJed/veoyJCEg67jBQMiJJyORRNqUN/9lVfBVTvD+r7vlmnyjc/VBt3DVf/qYWf57SbfDe9nzxCP64tVv6KqXz6et9t206HkDf2w07cEX2QyZ3AC4/5l70pn/O4leue1teuKqF3i5NTf6H/VYsxutatBjqIbGSkiSzzzzTHr77bdp2LBh1LNnz6LLRaNR/tHQ0FgxsSzXaHtzO414fyQ3U1V1ChpQlwade3eixyfctdjz0CV7BBnovW5PuvvbG2nCiMk0cOu16cR1/kXtzQn2Sj7/kdOYa6bbU/Tp81/SUZccRC/d9haN/GRMQGi9DUnS69mXMZTGPLg8oDFFVElFU5xfcQW8WR51poUb26SrhS+9wGyGl8AHEiwJM1d3LaJISBBfr1EOszVepRZaZu81mGyLv6Mi5tnRcRVMNgv6DYaoOnNTotKY43kvA6gMhUVQCUsyUikht2BpCSrnqJArdnXslCFfJyOOyWKzPCDnCECR63jhI9iftoZWoU7J5ahhTiPddcYjRGaIshlU55WCl2JdB4wZvmRnpPnTFvqhJGEcS8RZzxAdxt3X7OpLfFZVWzg9hmporEQkGV+MZ511Fr322ms0dOhQ6tevH63QKFbu/w3dnHmdtoosIS/kQpVSqNMcamdrUpnOKNaAogaLKFNC6jSQ3UkJClGkFG5Y6eTNBu/TjgenhqHIM6zmYPom1SsgPtF5QZa9IwcnsW/Be7Gk9pNfV5GCcOXMgyopUY3c8zqUlWkpNWwFFTtvH1QJh2p+rnxmv9pZuxJMA63ouO7IO+i790fSGoP70v0/3PKHbHPwTuvRzkdvx6T4sAv2p20PFCERaPb68ZNRTJDBBudMnk//PfFe1rU+9cs9tP8Zf+Pl+qzXi63gvGl8jnD2CKBUPfiNdFx1BfGT0gYQQI84hxQdskdipfSCZQmplEis8yzVcP7ifFMbFEE08Td2gxABIAyQV0+P7O2WR6wpkE7wciDDXpUYkM4SHsGG5peyUj8McgsJBpbzZCT8PZEV78fbBt6nrGIbJBoKWe+MdfHaMoxE7Ku0hJONd74dnKy2+3pr7FoySa4NbTLWRahJiOrnt1AulQmq7/4xVaduRXMgIsM9YLlMKkPReD4h7Na/C/3tH7twJXmHw7aiH4eMpmOvOoz/tvOR23JyIs4J1q1r/GUo5mhQLMhC/C34njdLApmEgyZTf6HCDkhGpfL5qrIKVcLXo3OwfCJdUOqgLu8oY5YTCZbJVQXnYLg5GCsztcrzZcFjqyV4rVy14hbVFmwzq2zTVMblUFOqoAOVKvNAY3Chx2qIiTf7w9tpTxR+v0VkLa4aXvZrfGgpxtB8BxRa/XySIbF4+umn6dlnn2Wv5Hnz5vFPUiUwGhoaqyQQ6KD+Cwx/YwQ9d8NrlJT632UB1glHwnTJU2fT4+P/R3udtEve34e+MFw88F0XEEXdSomWYBDo0qcTXfr0WcGXNksqQPICb19PWuF5HPuJdSCKMt7Z8xT2XsezkfP9kmEDB7IJaQR+QDQx0CjBJP4Aj38xgGFQknpjt7yEq7lMcuMRci3Pg9gtPOgoMdVGTmh/mUTDYSMeIUKfQGmMtcv8nrE/KNSGTXKqysgpiYrKNG4avHhqdbvyxoGbDmVanzhWsrKO4xQOs66SCb0XeS3lKP5+yzQ/7JdwwTCovFMFrb/d2oKXWyGWSex5wg7UqScavMVx2miX9WnQtutyQydw8gb/R/uUHkO3n/pA3mHAfp734Gl03/c30yu3v0M/fPwzPXbZs3nuJ5V1SsFAQ0NDY3lVku+77z7+d8cdd8x7/rHHHqPjjz/+z3xpDQ2N5YzLnzuXvnrrO9pk9w359wUzFtJVB97Mj9PJNB3/7yOWelt3nv4QJ6shVQ2xxUCp0iAKbLnvJvTuQx8zsevcu452OnIbGrjVAKrrUct/B1FDytvVB98mGlyl128gRJaEF6QejWe+/ZnqeBHIHfyKs2zi4yY3MyIIJuQKHNwhiK+oykrAyg2/4G9yP3ibeF3EVMNfla3ipOOEV5XFrA9eK+uwtRwvI+OxnXRWuGOgCha2xCwSV4sh1/BIOTFhdkyDzGSa3EhUOm0InTK/RpIjBIWlHH6gm0a1WjpoeOEjhEq5Z1/n3UAoZNiTevhVZU96oVb+fDcQl8Z8Ndl3v4vEY/TRU/ClJoqVx7ihb/y3k+nHIaPos5eG01obr0HTx8zkZYe9/BWd+8Cp/BjhMXj+uH8fzvIeBMYg6rquR2E3pWJoXNBMj132HPUZ2JMOOmfv1c4hQ0ND4y+UW6xUWJop9iLSi47L52XHK24MPB1a6LHaUasEf+QNKsrydm9lqkhtRipicq7KJ6yEIjlQDM+TXQLSEW1Qpo26F56atGPBayX6BtWZ2IJUQSeNTJdgO+FGpZKoTgmpUI+DCnU6STVyV46POj2nHlunpa3wtN+veKnmTQNpGcZSA1PaqjVXSUUJlVWXsr0XpsWXBd+88z3/+8bd7/EPpunuGXET9Vk36HHYap9N6ZwHTqU7Tn2ACXlFTRltvd9m/t//e9J99NFTw6RWWH4/QQ/s26eRlAFYgc5WTbzLE8x6z8mKLXsIy39l9ZjhnVc4l8G2IbHygjRM6WbhyTHCIXLwhJzWdTNwp8A+iv1kzTJZZFOW3DIQbUF2of91KyLkRkNC/wzOCqKcynKjIduvoZkOJDsW5uUcOFr42l/5ryUTCM2QlIZAguEIbTEqzz4xh6yrhIxMWjYwuvwafMywXU+qIX2f+TqDT7NXmTcVOYnrUntr2tdUgzCn2lIy9Q+zEBn2sS6tiFOyNUljhk+i0V9M9K/Dmm41HEzTvKiV7jlbOKDUz2lk/fFVr5xP9bMbaJ0t1vI/LnzO/z3pXhr31US64PEzaV3lbx7ggPHeI0P48WZ/2ygv9ny1xtIEhRRZvpjEIs/+8VcCnZzmloIBGcWCqBa7Tv0XNArKAtUpdVuRRqgSDrVBNhdX5BbxYO2sYlFp5oJ1U3WBJNKsDBdcNxIxC47LoYTiGBJVHDMUiQWFlHWrgnHWSBcO9oI3ur8dVd6pzPqpbhsquB9BwlG3E82358yXNub9SXl+BdVYLC+fZA0NjdUXZVWl9Nj4O6lpQQv1XW/ZOu73O31PeuSSZwLrNiJ64P+eYF3y4J0CS8nBO69HkXiE9arPXP8KPX7Vi1TdtYp6rd2d7eFI8T323CmYNEs7Mi8Njyujnr0ZszdZKeUvdQSKhDlGWZBBmZTnRUZ7vBPbVLyPmfx6qZNZWa3FIC8joHk5DNxq8h3LGzAwKml3ilTDwd9ishrNg6tJbgTbMsgoCZObtsmIWmRjEMXgZjtk5Rx2wcAAimo1V4lZ14hKuBxspZSCQhGY7woZh7df0kuZjxua/DzVMKrvUrPo60k9azyWVyhhK1KL7WmY5cLSKU8JRHFdam1oY6vAM+48ga484BayPc21YdCcSXPpoNoTWIcMKQ1ujjB7wcfGduj0O07IO48WzlxEHz4+lB+//8iQgiR50Lbr8L5iNkJIPjQ0NFZXaJKsoaHxlwHT4Etyulg4q56uP+J2Kq8to8ueO5dt3vY7fQ/64rVvePp88z03ohEf/MjOGXA8eKPpSV5v8o9T6f92voayGRGHDEs4EN5Fc5poIaKmUdVkjat0fWCpgKwoex6+nkQAf+Pqr9KYh7+B5HpEmqudwmrNa1LzLd0gpZCOFOxQAemEV3UG0PwSiwldMIgxyHcOZFWpVsvUP9Yl4990lpflKnLII5Egv0IyYqBgi2oUqlDs8Sw255TIRjzp0+zidUqiZJdGycigSmzmNxvz8YMWOi72AZro5nbhKwtZhhqu4jUNMtkXDXwcTZ3JcnXOrxR51Xs0M+J1pKcy/+vZyzFDFlXrLn1qqWF+M2XaQMJd+vHjUTwrYXAZ26usuRQrj1NbQ44+f/lren7OA9Ta0E7/2voydrRYc6PFG8U79aqjXY/dnivJe5y4c8Hzb4u9NuYUyGg84tsLamhorJ7Q3wAqlmL6XHWkcBTnCbX7k38vCzpPnebWYP3SeOHseFUmocgz0MDjwS5X1lWnk5TdtksVVwqlS9dRpmMy3ZRthpUpGOVhrjzYh3RFsG60MZgeySlyi0hzMPWTrlHkEJXBNFN0ftBAlekcHB8rqUzFKYEjVp7URHmTatKXOh2mGs6rQS3KNF6eDCZXfMowz51kJcuaX9kBwuPZfSFJb9PdN+QQibu/vsFf5qGLnqIXb3mT+m/Qx3/u8SueF8RYnQpWbd68qqX6BD5P17N+Q9yzqOryup7dm1pBRTqd2HCQnudpg9UpZTTf4VzzpnRFAVqcV3gOLjTpHEsfuLEOf4a1HQguZA9cmbVYP8z8HPyzLEpuTJ6/XmEZD+QUrOO65IRNMm14KsNDOcf/ulFVByz/icjI7LBFJqrNflAKvn+8irZ/0Ljxz03AsUNIKpj4q9+XnsUdh6CEuSmPvZo9+zdVFoVmP/5dqRh7wSN8CF2aP6Ne3Kxw46TNzXY3HXePL4PpuXZ32ue03WnIU5/RpIapnLA34dspLOW58cMrmOB27lW32LmFbV70xFm0JHTUu2ssXVCICvU6NCwlgEL5nua7RG+ZjusrY6gatuW0thWUCrjK1L9RFcj/XCVkBA4t/vPKmOhAYiSRrg1eK9waLJ/DjI23HWXYyZUocosSo6DcIhdTnw/WLZ1fWFLY3lWRR6ZUi0VVkqFwBmWstJTgkrxQkpwakqK8rjqmKds0a4NZFFc55qosxvON7zjm/tpYubKNp5oka2horBBAUEhpZQlttd+m9PaDH1J5TTmtu+Xi0+HAP248hvY6eVeeYvewxd4b0zfv/UguWxzKAcpxmPshVQ8kksUQqKaCK2PQl5ZvvoYSVWGQQHZpyI+b9pwWDJWAYxkpz6BsVlSUQYDxouxN7C0tvIZ5YJM/jiqbwOuWR4Mb20yObCwXhQOEkA4YWTmgeE4aYrP+/nEV2WDTNqKsS1bMIicj998bZ3O2eC1YWPFhwj7B09gR+mdv+95g6b137Cdu8CGlAFHGe+YfGXACWQmW5TAUcVxcjC6sfZaWdZ5TBjdBCus91wy2j8+Bd1NKW8SxQYKfSy2NYpCu61nDv8+ePJ8euugZshULyJv+fhdXkKs6V9Dzsx5ctpNPQ0NDowA0SdbQ0Fju+PCJoXTLCfdwhfChn2+lR8fe+avLg1B1TEzb95970Ov3fEAzxs2WJFIQsEwS0gfpYiEb85gYoyrJlWSQZVNYk8nYa66ESoLsywsQJiKlD1KpLOUYiqUbKsvebAW264WCgBBiOfwetgQ/ZZ9k+Bjb5MZgoeaFbggSCy9WNNuxhRoa8bIhMjM2mVBDuC43D7mlFpntsjHPBDkVL21XR7koa7VlyUqCejosrTAdlxuTmMyDoPJCJlesrURGyFFUyYd3k+B5KqOpERZz+AX7juq6rM75TYjyWDDFxTJ8eLFNIyDgUh+NhkbfIYNJOvYLriEgx+JvINWO7xVrUP2cBn5OtRZUQ0OQuIjtQX4zcuhoto3r2qcz65ZxswEHlPKaMtrx8G1+8/mqoaGxemD1Icm/x5VAWddJJAo6KCw21aBUONRu0DynC2UZqqsu/NJpZbqnW7BudH4w/ZGtVeQTSvdrsq5Id6qaw67MuiTrlGO0sOCq1LhOsA9hZQbGUbqMQ6lg+5EWZf+rYgXlHyHFtFwNHLErA3mJ1VDEQF55XaOmKnisSFxspTM6zxRd7YzuMO1TtHtb7fBWp41+JVhGY8kY+9VE/nfWhDkcCPJrXrZwMzh/56s52vimD6+gnmsJsjx+xGS2fXvy6pe4miw+H9lM5zhUVhUnM2RRa6s83xQHBr80i3Q9JR0P54iJUA6PNOJcSMuYZz85T74Ggi3QnOfJgdg+zZLPucJazouTRjUVBDhkkgvnGak2YLcN6I1ZBSKrzFJn7FqQapjkJLNk2ga7y2A/cxVh4aMcMshE5RgWcXj5EMIKwhQ2cxTC9uS1DwLqhA3R9FdiUS7rUKjdJrcqThYkGly6ltdZLsceyiy/SGXIStjCIQONh/JaEIElWaFtxvtQHD1YssJJfzK+Oyds98TxlU19eGzb5IAwm8rNCsd6K2SdFSGy2i+vyX/cfAxLI+BIgbjrXY7enj2Vs+ksnb31Zfyvh679u9CC6Qvpf2c8zL936du5YOOexh80zuYFwgQw1fArVaKkPL+YHFFxOjLiscJjaK+uynYVeU9JsN1UbfC9YqUUJ4dgCCLH0/tD9tAtWDfSFvCGZJUiZVTzUBQZRnv3YDvl0xWni9rg+bbuhcfokgXBviW6KuN+k+L4URU8H2lSjoMiyzSV899QrekRL++hsTl4rIQduUqYFykyxTzpo/q5dHSIKhbipUoZi4WRrEAuUqsPSdbQ0FhhsfGu69NHTw6lHmt1Y5u4QgBh+ujJz7hC+MtP0/k5JPqBJN991iP0xn0fMsF9dvq9dPspD9KID0YGKxsGJdvSZNuusCETdg1BBROV2g6x1EwqVUcGbz+YqDnkoroJb2QpzUASnec5bLZnRIXWMsjBjWvOIRNkUtH8cWEVD1A5ZUIu9pMHeNgbY/uucM9gSYRUWWTrhI2cmbJZWsjFXgzsWJdtkVEZFvpk3OxlasJkLUKjYIjfP8g1W0nJqGo8tl2DtcxM0nM25cqjrM8Ot2WCgRNVZJB8yCs872R2AZH+yCA5+B3EB3HVsKiDhtvzksY2vPQ+z2NaSjFEyB6OPZYTr+dZ8/F+QqdtmGS7DlV3w82wQY1zmzhA5tSbj6WHRt3KN1jXHXk7vfjfN1kr6blpiG0Z7Jeck3aZobDF1eTfAlSwh7/5HfVet0eeBaGGhsaqB02SNTQ0ljtGfjKa7d2mjppBC2fWU9e+gQ+453iB6vGcyfP49+5rdKXSyjhHD88YP4veeXiIT3BBjpmAyWqlIF7Q9UopAwgbCBjIHDeHSRLohX5gtgcrpNJB05kMHhGNgILUMuHl2SSXHFSrZNIcbwr6YbxcSYScuKweJ7JkevphEExZQQ4kG2JdJyKCPdwwZBfClQIVXBhZgPj6omgm1y65ntcqW6OJ5iEn5lVcxWYzcVlxJpeslEthrwDkVWplsQY+zW5ZREgpTINy2EfopF2XQs1Z8Z7hiYybDbwe29jJ6G2vqs52dxERiYtmKlT7+GVkTDW7W8gd8HTK2AZ8ojMZcrJZvtnht8jhJYEGe+GsJrmj4vOd/MNUumCXa+iYKw5hAjxtlAgZAbY/dCv66s0RLL9AMAj8jvHz4M+3Uqw0SsNfH0H/vOJ5OujcvemEa4/MO99e+9+7NPqLcXTC9Uf5MxUekBj5xFUvsNXgC7Mf/JNzazU0NJYnVh+SvDQl+yJm6SaskLzN5IWBOAWXWWyzigwgTyqgQpkWsbsEFlm+tVTH8I4+wbQRpk49ZMqU96AaP5QqXcR28DirFFNU+/VEl2A7OeWtqfKMjJIxklVe1wpMPyhVpTyvTGmVzgl+SXYPXiDcHkxvWe3Ki6mdvKqjhaN8HglF8qJ0N5vqZ692VqvTRh2mBosFjajPs5VWIaxAU0UrEqD1/f7DnzjoYTE98el70C8/T6e1N1szrxnPw/A3R/gEGZgzRTxGiMRFu/+bcpAlyWvltpMRVSx9kHHqwGnCI8eQ+SB+Gj+GkFaoDguQDvgm+qUWT+0yUW5PCks4fLbQ4eLvqB6joorqascQH5xbSlWaG+riYbKxn/EwV5FtaIrBRZOOaIbDMrAPRqUX5Fj6J/Oxg0sFV7whbXDJDQlZhR0CmZa635xDTszg7wOvSu3ypcXec+TgbYH4Rgwym2wys+JmQYo6xPcILO5SdvDdISvjfLMRC5GbypEB6QXCAJMZMiCC5vAVEGZb8EUQWHnNQK4C1wFIVvh32wsSEY4gXK33Gvv4M8DfQcLt4IZD3piIj0nKYJSQF9wIvPvwEE5cjJZGqaQ8xhKMA/+1Fy2YUU/jv51EOx+5rf/xgDC/dd+H9OItb1AqkaZ3HxqSR5LRQHrvOY/x43hZnM5/9PS8c9GfLlbjtld2/EFyxLx1FecKFye2D0XmUCxIqsN0P1svFpj6dzrXFJQW5KoCCSJfWxJWRnHoUJwi0krAh+omkVXcolp7KCEaCnNSx1BbGStxU+sh0bmwi1RWMVEpnesWHDcjbW7BsV51plLDTSLp4Phm6oIXCCvhKWoAWd7Ipx5z5Ti7qqyliPywIwxFfVHMxaKou8UKNG6uPiRZQ0NjueLlW9+ihy56mqIlEXpu5gNUXh2MLv0G9aY7vriu4Hrzpi2gr99G4p5wO1hjcF+aMnIaV45PGXy+kCd4N7UYT+Cc4Hn/whYNzg3SyxdSC26EQ6wyfJOhLZZE2URctPfFzTHQ4uuRK9RskUGiOorn+TnYvKHSKl0wuBEN24Q/coTDOpCaB1LskU2b14ezBZHjDWyWTYZtUi5qUlbaLZo5aSuHnkPUfyMYFMXfmW9AXlFhktUqiDP7B4c9IixlG56umC2uFDKH9w8ttDQBcXOuEDh4N6Ihk23h+AZdNscheA9EnG3jPJKICjNuEnBs+PjY5KayQi6B9431Pb9oCbaEw+cjbyD4T7hxxT4pkgz2T+YobMn2vX5C78bWcWjTvw0my7Lo63d+oIZ5zfTuQ5/wdtbaqB/dPuxa+ubdHznOGit60eQ/DR1DT/37Jf4X6DmgGx11qYg59wAZBlL6Jn43hTbbc/Bi5+ORlx5IvdbpzmQb53BLS9DzoKGhsWpBk2QNDY2/BKl2UenPZe3FnAmKYcJ3U+jsrS4VvXCGwdPkOx+1HZ122/F0wc5XC32AtA8DuLLHZA9VPrkRGRhiKFGvAHsgS6mAZxrHNDyTZY2x4eaITJl2hx1ARRorsu2bjJJWZ4ZQrQ5bZFdExfNwi4iGfP9gFNagTxZUX7FuQwU7ZorKkEf2sSx+SvGvcJHgtfB3JUbarhAhIiDVTKQjBv/O/YpQcSgNTEy6s6Kx1mQPPLktaeTBy8pt23jbIdHYCIJsSPLvyGPAshHPZ9wj1+xaIavKCE/hBsUSoVFOpoKKMOQsSsMPh4l4GmU0AEqPaHa28BxGbIcbH3sP7EV9B/bkqOp4RZxeuvVtquxUQdlUlhKy6bdrv87sm9xjra58Q4bzraJTBV1z8C30/Uc/U7JNTHVZIZMue/5cWnNwfugIiPf/hl9P2UyOIjIiXAUCRrQzhobG6gFNkotOMwVzBXZ7ouD0EFeVisko1EGgVJn6aQqqDm6d4sagxO1aTUroRrfCXf5q5ruthAWkaoyC7hOJLsHjiFL4yCibd5XpkZCybk6ZTgoFu0Y5ZapI7Q62lcMSSgb7E5njFOzYzTNaR3e+t29dgy7mUnV6KJEp3KWrOoeoXbdql22wRL6E41dMzdVu3KLQEoslAhW4Ln07cST1klL3PKAZi/W7ZPBUeqotRQ9d+BSddc8/WEbhyM8GTVrd+3ehWRPnBp+FIx0YPPcJVCy9KOoOndjorPcbxdilQRJIWQk1SuI+seWQEJZtiKY1B1XPqCjhelpoLmiXR3hb3IBnC8s2rMdnB/sei+l6J2qybMKTSYCsQhGVK8d2hO4YMicmtlyxlk1+IP2OkB045IjvARS1Q/AZFjIMK4lGOvEeQcId9Ouh+N0KKzjhkWy1OhSOmmRmobsWkgwHWmSZ3GekXXajwXsFYXZiITJTOXHTEMLxCDGJZtkE3ricpjVws+HZ4uGY4jjh5oOPj/BUzpM88Wcmjp8vcWKLPqkHJ5ft/eZNW0gvzLqfrjrov7wIHCzuGXEDff7K1zTyk1H08VPDWNt+/w+30HMz7mOSfMepD9DwN0b4L7PBjgPpwsfOoC598rXv/vlgGAUJsjgFXJo+dhaTcaRBrhL4Pd9ZRdZVp9KtMkWyqEreVHQcQ9XvZ9WJSA3xUoO3VBcpJXDKUUJA1EAQXHce0pVmQWliUlF+mdnCUopMleKkEVYeK2/HzCphXtWKu1Sm8PtX5RxmNni+choV3Odwe3CsU52DczI+PzhWvs96R6D52H8x5Y0p7iKG+tmo46ziHOUoYS6LcaUi7k86TERDQ0NDIhwJc7TwsgCNebMmzaUvX/uGcjmbZo6bzRXASd//4hNkAEQ60R402gnrYkkw2Y0C5BGVY/mVF4mQk0gGloyygsvkTKZ4IVSEyVlJXGwP8gwMFiCPMvTDbU+JQUPq/Xggas+QgyQ9bxkQ0xJBOlnqgachU8g65MRNsmOGSOqC5EMm87GtFOzdYpK0cgUY24dMIxjIcVOJ50XylSc5EWTbAVnOYHkQdNjDgbBCN2lQLiqryUAp/DAgnbDJyipVcZn8J0SLksDjeGYULTEn8wmyzSl/argfbgQ42ltWiyMRcfy8gZHXM0WDJI4hR1XzmkFDISrI0g3D+zwzqQylk2na6x87U+O8Jhq803r0yXNf0PM3vMrVX6C1QdzlR0ui9NTFT/sEGVXn5oUt9PPQsfTLzzOKkmQVqEq/due7tMZGfWnr/TajJ69+kZ6+9mXqs14v9vTW0NBYdaFJsoaGxl8GBDuUVpXwlPbSAFXDLn3quDIIHHDW3ziOeNromfTlGyOYQMEvGRXjhrlNUvMqfIJR4WKvVVkh9gJC/FhpNAOBsMGJwUvXUzySuXoVjwnNspcAh0ZR1sl6RE4EX9ioSqHSmjXILg8J2zd2gnBE/K0k4aLRSzbWQVccAmEVVV9UebPg0gnR5CocNMSu4G+5KGLqPds48TwaDUGkOWAEfDQjK8SSZNsRUVVmoh0DaQ6IL7bJzhFweQMfRbNgJkcOmpUgAck5FOJCeqD35mY/N2hy5LQ96UfNgSdeQAj8lnFsUd1DVc+U1WVZWeYbDu9DltVlvtmQlWX2lOYKsteBqGqqiU7f7BJqmNfEz8+cMEc+L5bZ9djt6ejLhM742eteYYLrATKJN+5+jx8j6nxp8Oz1r9BLt77FH//zsx+kGeNn8/Nzp8yTsxwaGhqrKjRJLgJ1GqCYc4WrTFOYSs48Q/0dMbcelCkhNTvergs0DWzzJJGsC7p6Q0rXrYpEp8JuFXnTQwonae+pTAmpphGVwTRYpk3JZ0cFykdhd45kj+B4hZoVqYrSlBxuLbyuGj7CxMF7JXVcVI5VpnPwJiMLFF1IsQFLcSrJk8ioThVq927Hrmu1YplOLdENBd32Govj9bvfo3vOfpTW3XIA3fnldT75gpsA+E1153wJxjfv/kCX73ODTMszqbymlEorS+msrS6jmi6V1FrfqkwRgsEJEuy5WkTjEUor8h0mqPjMpfsCT9XievScGLypRm4s6zCt6NmbgQiCENouN+W5FXGyS0Kcjuefp1FLXFfg1qiwSg9j3resTdl4iLJVQgeNTnrPA5mvFZg7VBlkZ12WP6BZENeuXQKVhSTX6ANsFzIKJqoxea3weYdKd3CVelILIfSFt7JQX3NACX8VGbxtvsRB6itNMiG/bnfJLjHJrjAo1GaTlXHJTMpmOrY3dkVDorS7w02Ki+MfsoVvMmQmMkSESTFIr+en7IUHCaF5kGroSV28cBfPoxo3OVIqw5s0DGqY3yLOH+lywfZ+hsEhNKffcQLHm79w8xs0+svxeecUCPJuf9+B9j9jT3ZS6QjomqFjVm/i4N0NVHaqpHh5nE679TiW9myy+4ZkKeELqzyWQlKWFyihhnAlk4XH07zlO/QMqBIL9TgrkgBVYsGplRLpTopjUkvw3R5KBl/OLV2D5Xkmx9tXZcyyFAWBOlZmFWcnu1zhCgllPxH+I5HqqgwKyqFzlFwU//unA6KNSrhJ12CZ0rmKfLFz8F7KZwV8I1sRvBnc4HqIzFPCtroGQWZWvTKeKiFfpH5ORZ7vGCZS1NFClS8Wc8dYgSSLmiRraGj8JRj1+Tj+d8KIyawjjcQiNHX0DDpj04uYJN/1zX/ymqjef/QT8UBWcXc4dGuuHidbU9RIIETl1H9wX/pxyGgRXCFJEzTCWIezKlibLpvzbNBM+cXukTdZJea/ycQvoUv2NLEy8IIJmyS7cGHgJj2ZmOftI29bSirYz1ixa0IlOI59CJNdKv4GSUWmUhB71iZ6nFyGg3BlGD1uGO+xmwgIwS5yqp3oD2BtMnglKQ4QTPJdstqEJhn7DokG/x2HBj0AsjjODYLosQsZFEqzcZ6wp8MA7x0C6JVdl+zKMJNRtylLFkTT/vvztNLSmxqkH8clKW+6OVpaOmWgMQ/LIWQkHObPDJ+R29ael17IA650HRFkGDoRsT1bupV4jYA85nK0OAJjknRQ7Qm018m7cvw0sPNR29KI90f6EgzIJzyCDFvCpgXNVNO1mj59/ku64Zg7WTN/73c3cYMesPcpu9Gg7dalmq5VFC+N8c9JNxz9B18dGhoaKyI0SdbQ0PhLcMK1R7A7xaa7D2aCDMD72NORzp40L48k13aXFQ6D6MCz/0ZHXXoQW8gtmLGIDv2/femYyw+mz178in4cMiaoUvpFU4NDJNSGE8/b2K94+BxPBoqw5jiIw2VLMinB8J0smKyKijKTYbTWcQyeK6q6aJ6ThVCWM4Aw5hyyQZA5fU8m56E5L46H7PeQV6VC9RjyCbYexqSJtMPw5LrMSbHZeBAgIogke3pQrgbyBqIQTDZYd+xyky2WN6qIYgsE58RrgmxjGahIwF1DqF57jUOW547hUi4CPbRw4ciWWhRpyFA4iaqx1Fc70DjLajDLMeB0AQ9lacWHmHDTFjcrkGPgmKsnB469KouRsgwvlY8TDm2HTG97/uuI7bDW2XUokxRVrhnjZlGsNEbZTJYOOGsv9joe9uJXNG3sTNr3n3v4L3vlATfTN29/T0deciC1LGrl9wFpDwh1dZegsRrJeiDUuHGzwhbtesz2+c1MGhoaqyQ0SVag5ojnQZ02UKaAFssqV6FmnStTQnZdME+TZ8+kTIXkaqIFc+EbewXbCbcru5QsLKtIKZ25mSrFRF0ZkCNdFCeN+mCKqqR3MB3T3hzMCdlpJVhDmU4yo4rcYq46NRY8bOulOG8Em6es0r3LBEQi2qLk1LN7gNwHpUOZG4ckig5ZqpRCmdJy5i8M1lVe91elN7LayOsr0075ZvkahdBzQHe64NEz8p5DAMTJNx3DTXjbHrj5YqS6rnsNDdhsTdp4l/W5Avjh45/y32ZNnM2k5cMnhsoKqp+Dx2SLq8ogVh6BFOXGoOLrlVF96zKpmZWevVxl7mDxxnzTNMnhZD0QYosryXCt4EAPJoKoULvkZqENRlqcIHscMhfxHCngNOFyZDVXgVFYRfU3IZsHk3COcSnVTfgjo/prtYtl/Woxu1jI4jYqwN7lrUqsWIJiUroGlW2vQk2UrRSaZ341L1AQu+1xcPxHapr9373vDWmjl6sMkxG2KNQmGvNAqB3XYn9ltofz+gj944fYaiQZyqqzR4w9+UU0yuEFBiRsSPTzKsggyqkU1XQuY0/iaePmcCOmk7PJskyuKvtvhA+eQfHSKB11+cH0zLUvU1lVKfXfoDc3je5yzPaLnZNjpBwDsxwXP3U2pVMZGrjlgDyC7OHL10fQrf+4jx9Xda6kzfZY3EN5lYY6BV5EepE3hhZxi1JdEEzV+anjeKr+zlaMcrOV8cKOEKobiTK2Ng6IF5T2wS4x2E7wsLW/6owRPA43KvvQWwndWKBoJroEcryutYHzQ2Nb8D6ry4Ixd2GTIrOUHun8OKVIR/hCF8gpshB4q/vLq8ow/tJYHJWTg33OdiorGLYiXHrk86rrRa6II4kauhVXjgP2CbNDBZAXzqW6XvxKMMnyhCbJGhoayw3Qfh52wf7+7+3N7fTteyNp8M6DWKN8xMUH8vPP3fQavXzb2+ImxyVaNKeJ/rHBBTRz7My84BCGWuHjEA8ZJ22FgpuesLQiY3KtEDcvJtqvIHsdcuJ3B89hIJFkD9peJsgsMxBSBwd2bh08mdkWERZvrBOUTYBsyya0i9AEh+XYib9najFgSSKMfracS4bKP6T8guI2maZFbhv0uoJIm1AVQAeNSrRqSYW6NcYkVKHLQLxlFRmvESHKovLMA5dw0uA6Nwq5cJSIG2TA0Q4OFqxvFO/BhoUcu1rApxlOFSa5bUmRysfVeZHEJ/YNzX0h0dDHHnmOaLSMx327OEgwmGN7LiWo1psmNSxMUP18RS+JexJO7vMkIkHCYl2vOnr19ndozJcT+PeHL36Wb6jW2LAP+yTvcvR27FIBXPrsOfTZC8M5nQ9Jjxc9cVbRc7W6S6VUgxiL6ec1NDRWTWiSrKGhscLgqoNuoZ8+HcOpevC5BVAtfOyKF4JioWnQz8NEBZBJlle18vxXPfKL5jG5Xc8SztO5+j9etdjT0zJJzAWaWNVbmxPghGyCZRTwFUbMNCqk+J0DMVD9Fa9roGoFcwcQWukFzgINFJOxG3hCSjKcCiwjZA6sRwa59Ao8IIplcj+YF3rWbTZRBD7LOXJy8n143+hpl4yIQW4FiDES9kRENYh3Jibfckj6mMtiLIg3CD5TebwOHDFMURHnSj2Iugwi4fjrFptMvG+vaofZMMzIeD7SfDyFftur3LN/LWZjvBsR/I6KMipKRljIMCJh0UgrpRZ+5cmBFZ4IFfEhJwQisTBlkPZnGDRz/GyaOX4OVx8rakrojXs/CG6gHId+HDKKXl0kYqdRDV7aivCgbdahh8fcwZXsnrKZT0NDY9XGakOS80r8S2FgrU4DeA09/FjtrM0UXqajxEKtbJmtwVRTpnsgvYBZf6FMdoQIeIgvUoI2Kgo7WqgBH+nOyvtUYmm5AiURCgXLdF5jgf94XkOQMlJZE0ybJJKKFESZ7olEg2OR6KM4Y7QHj6OL1Ck6ZdeU3VSDRQxFwhBuDpaJNAcyh1xlMMUTagj205DaRLFQrqBcxqqsKD41pHbgFpk2VKcW86aNNJYZ0I6esdnFvtWbmshnmgbVda+mRbMb/ediJREyQxYlWpLS0ixE0dIQVdSU0oJZDX7KHRMwVCwxledN90PaALLLelbPFQNkDdHOIXGNczQ15XfRY3k4TaBiKjXAViLHLjduWUj4IeM6RoWZp0ANEQgiHVuYHIfRKCe1zbJqzYQb1d2YINWGIyKlkaIHozRYt/Fph13iyq7UGqN5ThJaiqk2yXDvwHmPSjgIrSJ78jUVUkYhnzfhtYztWC4Z7ahm40aAyEwKazrAklprXh2P8V4RRe3pi9Gsl4ElnHdDIJ9D4EZbghsRcVOi1ti5sTKXY6cR1h/L72kHNyrSH9nzSeb9xE0RPku2lRMpfdhGJiH1zp78Qlr5VXerodZGWaLnHTJo879t9JvP097r9PjN666qyJNJqNILJYxCHSutmvIikooO0+1FnEOckmCsFQ213h9U14TgYTjhFAzgSKuKGnX5FsVJSZEU5iqU96aEg4S6BjKGwT2EPSCQyAXjQ4Mit1jUXFZwDDX5AhPo3muR/3iWkgRmpY3C4V+K5LJVkTVWTwy2meoUfB6RRtWhQk09UbWYCqdRvo9dxanEkJ7y/HxC2YmOUAO9isgX85ZRxtM8N4zl4Hqx2pBkDQ2NFRcIdvAIMgCC89S1L9P00TMok85xpVAQIEGM4N5w6Ll70QdPfEbzptczQUqnbVows0FUkOVyrp0j1wyRUSL9jpmXgoyJaq9roZEPcgxUhnNSUxw4U4AAioY8qUNm0iYb8qAaQKoeCCckByBp2Azsl0tMQS6xjnhRQZY97Tv4ewgNdS6TRxBWNy411WmXqDZLLqrECXTgyfQ/LIRxDlKIVIjMViFnCEdylPZu3kI2hSvEAJNrCZGLHgLPa1gGlYDBW23SHk5a1YGgIz3PyhhkJkHWxbGy46hUS600r29QpMXxQ0dwI2CXWGRmHAon8R6QwgeynBOVd58oxQNtc2tCOFx4khYlPtxJpWSSYVDZ97TRvle1tIfDZ8UzCVwldsX4KeOsvcrxoln1FIJuHLHarkv9N+xDFz25uKTCtm1Oc4TFoIaGhoYHTZI1NDSWO6AX3WT3DWjU5+PJzjlMmFXSjKoxV3K5Hw9WX2l6/OqXubLA1UXP2YJDQUS1gSuLhkWWZ+3mOSWgesmVYenl663rxVJ7P9guCDQ0yJIgo1Ls27uFTLKlTy9bv0GeEDLILrOExELtAwbBhH2a1ArbIfgQi8Y8kOGQnClxQ5AjOGSUOYIXmw65aYMiFVmKRHIUj2QplzOpuTlOtm1Q927NZFkutSwooZbGUqKYtH+zHArXZCndGiUnpYqZRQmZZdlNhiDdnMLnstzDRuXaBtcG6YTe2Gvek7rjMDxiTQrPywm/ZCmrYG12UlR3bURYU4g9oXk9cXSDLkHIKVAdTqTYVcR1QObTfsw3Kk38mnAiQUMlPjfYxEm7PhEwIr2V+eQQMwGde1fTgllytkHa+qXbHI6lBgbvvD4dd/Vhi7lSgCCftvGFNG3UDDrw7L3YZ1lDQ0NjtSLJeSX7pYBVrkwJqZnwqnl2hTr4dNi+mk+vrGPXBtMTqL54UBt98uyglM1myxTf1WhhY3M1890NB9u34sH+GIrcohi6VAf2E91Lgy7dac2B8fiAmsAdoiEdTCeNa+7uPw53Dzp5U+GgyzirdPLGFgTvq2SBW1B6kVJDVVBpk4g0BPIVW0nQCikdu1SidEOrU0Kqo0VHdwvlfFGnDZ1EYonduEWlPUthxr+6Ap60h194IH3/0bX+c9Alp5MZam9OUNPCVlkd9qKPPf9ckbDH2ldP/gJNhPBF8/2QWQKBmGnPA9mzKJOLCbLlpdFJ72MZK+338nFDnqgWc+0yCmcL8ZmGEkjWExVktoaTnfP8tWBKCVUY04hC68C+xbyAsHxjn+eES7kunnY24JUmUvMs7E6OTNNliZQBPXHI4d95VyszVBJ3KRrKUteKNso6Fi1KxCkWylFZNE2tbXFqaimlktIUmVGH0skwZcqiFF4odMd+Az2quXEUgeX1AOcM26VQq3dNwN9ZSh+QNMjOGNL2jj8bkSLo2eRRMitkE16ktxoxHQ6T4dicfMhhIa4tPl9vGW/ql72UEVktq8s8Q2CTqcidsOx/3r2Ubj7ubkons3TmXSfQ3Wc9QtPHzOK/b3Pg5nTlS/9HuUyO6uc2chPe+49+yoEzW+y9ERNk4PW73qOTbjiKovEoB4vEy2La6m1JUENDlHHPuznt+P2qStv8WPiO4SEAEjE9KNvKlQTrhBLBtHyuLHg+Xa24Q1QGr43USg+2YsaQrVQCo2oyBSUQZeWBc8V6neYFyysD9si5wdi3Qde5/uOe1U3+47pYMIaUh4NtTmmppYIoU0K+lLElUxW8r0iTEjISKD4oWafIQhKKzFIJPcnjITIgCLCkNSdDCdcKbnw7PN/BAcOkgBM47cF7NtUAGNUdQwYydXx+eWO1IckaGhorJqaNmUmhsEW91u5OoUiIcukse9Fe8eJ5VFpVSudtfxW1NrRTTurimGBJh2EQUhCe5vpW6WDhDQpSIiAJL25c2H8XoSGwncJyTLpBvmSyW0e7N9dr1JOkGa/HemJZyURF2dPfRoSjhbCbkyRX3RUoI1hPiaY9IQ3gZdHcF3YpVwGfN9msh4p0SoSMsIoia1AuZ1G0u00hy2Upsmk6bJvX0BqnaDhHpdE0VcTEgIvdi1o2hQyXSuMZiqECHW2lnGVQJCJs8dxYlrJlIbKbYD0lBcqoQsMlA8knkqCDK6MuDC01Ejz5UNkupctNYacFwoybC3aCk57R4mDyMYSenO0tQZjxfpGA6DXkYUctlKazLMtw29vJ4Ap/RNz4cPWeyIVlGMsvAg9sEQIjB3d8Fo5L525/JRNkBNW8dud7tP52A5kkR+JhOv+Rf7KF4HFrnUVtje206Z4b0Xfvj+TVr3/3Etr+0K1o2EtfUfc1ulA4GqYXb3mDPblhUXjtGxf/2ZeAhobGCooV05hOQ0NjlQVS0UZ8MJL//XnYWDp5/fPopIHncDz1+tutzeyssracpo+dRYd2PolmTpgjpswlAdto10HSGheSBJea5jeLCq0SDsKVYkzXozolK5dMSr1mIC98BKtxQl1QdQbZc2rKyCmLsT83yyiiloiLlzMMbByXgZ4Y8dBSV4zHOZcsuF6gGAVtr9cnl0Z4iMtNtjb6RcMyQa9Tjpxqm8zKHIVqs2TFs2K/mAi6FDEyZJRkieDX6kt0XYpEc0x4IxGbymNp6lTSThXRFEWtHKVzFvfZVIcT1JYI8y4nsxbFohnfS9qRISNOd5sIsbpx0eznVjgi7hphJ1GXHGiS4y5lKojStUTZUjQwGTwTlCtHE13wueKmwfE02zLwhP+uxsXzxyRL8b7mWDRVGpUVwis5HOJYeJZbQBLjSWNkE6ZXaeaKvV/Vcqm1sZ2160C/DfrQniftTCWVpdS1fze+QXr8yheojZv4DPru/R99h5N5v8yny58/l56YdBc9+POtZJomffeBINA/fPTzn3MRaGhorBRYtSvJxQzPi+TLq1Cn1a2qqsLTBooROpV2aPhQpgvcsmC63+t058fqLJ5qiq6YnGcQYestr+wqBi3/pSKKQXp58D47d1OmeEqDKa6aaPAe2mCOKtGcDuafMNh5qI0G/qTr9AymmSa3B2klA8oDZ4xx2Z7Bfi4M3jsSu/z3opx5iZ7BPodSwZuMNgXvKwsbKomSOcH+Qwvpr6s4h+R3OisHTjU8VwzqjWQw7cX756czdHAxWRopRTFoiQXjqgNvYRuuwTsNonW3WoufQ1UUiWcXPn4mffzUMNpi743pusNvEyu4LkVLIlwlBH78aDQT2ZpuVdQwp5EMfI5qSIVXFWaPZFn19aPqOL1GJu+FiUB8MUWM6fyY9E6W+mdSpRfYlteIJ0mgDTmQPM/SFaJRD240HDddLuKeOZQDxLBFlkELSp3QKCfPDculyqo2yjgmVZaluXJsOTnqUtJGDek4pZwwVzaqS5OUyITIJZP6V9RTRThDWcekCU111JyO0+DOc/gtlMfTNKutmmKhLFXGMpRzDJrfUi666jHlCucMgI2aZdW62uVQEgOyCRR0PemFDB3hSwMSEshAcCgzDlkZ4WcML2VII5gIw0c5FiKzWV6v2Iw6hcsyGVnxl3Z8Lq4vNGZ6SjM/7lqExLgIHpGx1UGDntQnGwZXiYEufeqY4CbbUmwJBxkFEvj871kZX1hZV0E7Hr4Nr9t9ja7+rp1yy9/phZtfp+0O3vL3neyrKvLG08LhFY7qgtDR/akQKhXdIKA6ScWD9S0v7pxle8HzqZrCdIYbTiWiLcH119ZPcXxSXCwsRaZoNwfbNyuD9zOhobP/+Lj+X/uPD+k8wn/85qLARWWz2kCauEHJTP/xM3O2UJYJejBG1PcO9rk8GNeyqmvWomDsxiyPh3SgiKTymYqMRKE9iJovxEMi85VxUJUZNbUUlsEofMjtMIbmOZcUe14ZQ9XzZUWSJq7aJFlDQ2OFAyJ/gYk/TKGRn47mKe7jrjmcNtplfSYrR1x0AD18yTM0Y9wcXs4KmbTfGXvQS7e8Kb48ZYBERXUZtSxspRwquUagaWRbMW7gU3ySPWcL9ebJS8VkvSwqlbIajX+ztmhKQ0Me+7M5olIaE9vhyGl5g5YuBcETJNhxXcqFhJWbqsN0ywW5RDoeLN3cElkZbwOTdcg0XApZDlXFE1RblhQJfY5BJeEsVYaTFLUcqoimaU6qnMlwKhelsOViNykurSZChkMNyTCVhjNcKcY2S0I5qowkKSP9ovAcjzmGSxW1CX6vrU0lIjGyBdVrYU/n3SMywfDGKPwpgehqLxbbZKLsJFyKNgjPZAfHKY5j75IFr2Y+KPCMBuuGLAMER5JbHDMccshZMFiioo/PDY+xHG5mbKE/FpV1VJwjFC8JUbI9K6rMXjMmH+QgURFx5wec9TcaM3wCfffBT/TY5c/RGhv15QG3pls1VdaVc2NoW2Mbxcryk8KANTfqR5c9d+4fcr5raGisvNByCw0Njb8UV796AZ1263FUIf1SU+1p2vmo7fI0wW/e+4GsZBjsmYw46qrOFVRSFmWCY4VNmjZ6BlXUlcsGPsVfm6u9iDvOcrMeE151ap49kmWDHX5KYkSlMdmAJpvDoKOFk0VIEGPMWPDsiveD6qqXCieLIVzTxDZQlWWnBtmUB1kDyKTlUiiHiq2QN5gVWYp2S1I4nqVYLEeRsE1lMVE1Qv0aDbPV0SRFTSHBSDkWlYWyVBNJU4hywtbZsml6azWlbItmt5fRHj1/od17TKRkJkTt2QhlXYtJMyQYcF2OWTmqK0twhTpakqVoWY7i1Skh6UA1LSu8keHHCps4M4kZIPEDsusg1AT/IqgEXBjcGxVjtryTntAgvzh2rF8Wum4+bGqACJp04lGieEQUdT3C69nuYT1U9+F0wfplYflmhkKUaEnnW/TJoBK+mZEWcZ161lJtt2q69Jl/8U0WMOXHafxvsjVJexy/k98cGlai7TU0NDRUrNrfDkXK9HlyC+Vx3vSQOq0Oe6JCEgvF9aAjnCrVMF01AA/uS3JxtVM1eJzoVERioSShqu4W0Dp6qO0dBC60pRQpRSKQPTh19f7jPTuPDbajOKr/kgykFIOUdtkRLX39x5tXikEHmJQMpp9qewYyj4b6soJ59JYaMtJgFpwqUh0/wkrWR6KH4mLRHkzXhJuU6R516serGALtHaaEJIRDAhXsulbDSBzE8RYANJQFp400FgPifw8+dx96+ba3Ans3iR+GjKJES4K23n8zGvLMF+JJ06LmhiSc9+nMu06khrlN9METn1L9rAbf3ssj2IJQycAKj8RGYSPmWcRZfN1yQx87KjhEMSmVQpXV9OzcxFPshyyvWRHZ7AgijGWkrtaE3hhUD8QRjWpR8Ryqylkk6UmbNcDJydcAV47CrUJojFE1DoVBCA1aq2w+k9mFmVKqDSeoW7SF2nIR+qahN5VGxHlaGU1R1g6RTRZFwzYlnChVRDNUFhad+VWRJM1LllOf0kaakOzC+45KM3a9LJKillREqB3wfNSm0lCa2tIWGdA+t0NvDdG0PCxpl98DEvoQFMLx1OjQk17R0GHDvQMNgJFW2HHI+GscoJhFbszybxxQ4RdpempAgGz4U9wvXFyzXF2GJ7by/ekFi4A8c6gIKvIoR0tvbMOgU246lvY6ZRf67MXhVNmpgrY9aHP6hM8lQaC79u9CdT1q6IU5D7LcQrtX/AYUCX5QYZaUFB5DVeeo0njBqXuG6nyRUtaXrjOAhcRIbxnF2imtOD+oY2V7jRLU1SkYCxzcvHqPOaRHoPea8/3HtYorRYXiSqGibzgYW//Z9RP/cYyTdAQeXLiD/3jXTiI5FNg0/ov/eHoicLpoUWSQg3pO9x9/lhkQ7HObKkcJ9ifRufAYmpMzYvy8jJrvGNRiKNIoo6xkic5dqgvUr42D/L3rr6QQHL/rtwN3W87SC11J1tDQ+N2468yHacKIycu0zkHn7EPlNWV08Dl78+9Y/6Ld/k3XHPxfyiTSwRei13RnWvTGvR/Scze+TvVzxI1Yy0IYDMMTVySvIf2OV5FNeFyBVJv2FO2yT47SWfHFn8qSUxojpzwuyHTWISMjSRgTOaTR5SgXEZVTNyyqqbBnMzGwZlDZFLHTonlQRE37955SFk0JITPIZVDNFn/KZkxqb49w4bU8nKGw6VDUsCkmxYYlVoaiIYeyjsHLRCyHOpe2CXePcILKrCSl7BDNaK+k5myEn9+58wTaoGI2bV83kUojWZEl4ros06gqQcQeUYo9lAV5NEIOhaoyZHZPU7YkS5nqHGW6ZyjV16ZMJ0GUubkPN+VcQRZe0H7kd8igTKVFuVKL9dhehd8ujZIdD7F3NIeAoHILkpzKECUyAWFWqvtcdQZJwgAJrTI+WxBjZvbCzUIwf0mMcK6wb7JL9XMb6ImrXqTrjridLtjlGgpx9HgQEDP15+n8N1gLWkVS3TQ0NDRW/UqyhobGXwI0203/aTY9+NOtS7U8iNABZ+1Je564E5VViUoubN88Dvv5q994SwrNMEiv49DMcbOFblZKMdhqzIZHsudprFQF5cZYo8ykWS6fSrE3rxddLMTEYsaBI5S5icwgSmbIKI+SlXYIfW5OzKJMbVQ0uMnts81xWMTB5yBFCBlksauFknKHhyieyEa+WGmWyuraKJOxqFtVK1mmQ1Pm1lLWtqgxXUoz2yu5EtySi5NliHTB5iz8eolJc3s2RNEQKtVEgypn03ZVU6hLuIV+bu9OU5JdaM3oAupZ2URtdoTa3Tivzz+uwSEjIdOl2niScm3QFBuUyYUonYgQQUvtvbVOWW7uE+TXIbdVVtchM8mi0uxwEApXrbzOH3kofcCrnN1DBJkFyeYkPuErJ7XfmYDo4mZG0Rczx0ajLUd3Cz9skxMQTaJMxteZswxGkmfgldvf9Zv7sO4W+25KHz41LM9zvqQizjdoKqaPncnkucda3djtonF+M1114M1UUh6nK185n3786Gfq2q8zrb3Zmkt1jmtoaKz8WC1JsoMOaQk/gKDjY2WKnr+oC5lfK1P6bHSvwFRlFZ0qCrox2DKIgLelzEDwlGWBaSO1g9UtC5YJdw6mNXqWy+guNK9Q8LqbdQk6ZxszJQVlFb1iDf7jtUsCF4tFSlpJbSRRUJ7Rmg2OUV1JMK+DapeHafU1/uNkJnADSStTYLEFyjSQMvsWlnZagKWYn6vHUIVbHeyz0Rzsg1sX7IOhdOzmSXCwnDK9p3Zmq6+mGudriQXRetuss9TLXnnATfT1298zcdlin03oujcvpjUH96O7vrmRGuc30s3H3eM3+KEIGAqblE2JBi6eWvekSNIbmT8/rt6CFEvPYYRVSCLLetcsQjMs2Rwm7MSYVIc9YiaJHbx/QeBk4x2vDxs4WZBEEh1rjmGTVgp7ONFMKHvjmHhaKRC7IPaZK8wRh6zyHJV3aeVZyngkRbGwOIfKollqSCI5kGhyax2VR9LUNdbKfsdtdpTJ8YF1P1DSidC0TC0tSFeQ68RoUNVcWjs2j8rMDFVXtFOSYlQbEddf2LBpXqqCprTX0vZ1kyhq2jSqqRsTZz6u8FMO2xQOiXAR+EVnkxZZ0RxZMVjBuZRLIzlPWNqZCWiVidxSl3Jhg2JsaONSplw8j/5BBBOY4L1I32PyimTBENm4kYmYZGYtspqRtCduejwpFH9miAVXtMYyMyYvYEQABFhY+8lFxDKcyCilMF512jCoW/8u9I//HEUfPzOMY6e32X8z2u24HaiqU6Bfm/zjVHr97vdo2uiZ/IOmvrFfTaRJ34sp8Icvepree3gIf68/9cs91LlXHa1uUMfHpXH24ZtTbxFFeuHJlxjK96wqr2Ao465dqUg3pMYcyJUEFMYLuek4nuYCcypK91IG0abgex2R7B7KOgXjl7BKFOgSUxweFOxbNsZ/XKk4Jn2RCs6R3ePBuHxY7bf+409bB/qPGyD4l+hVEsgmM4otBfoPfChOOZlOwRsunR0qKDUxFalgKBWMoeF2ZRxT9Pl5YSJxpbkVPRUeVA7UMQCkY8CaBBc5iq2zxOXpL8dqSZI1NDT+WDw67g7qu3afgn9D4x0qdFNHTafLnz+P+q3fm7595we/svfTp6P9ZREq8vYDQ+jYqw6lZGuKSitL6O6zH6NsOsceuBm4JPjaVFl9FMJesQGuIAbWbPwUeybLcA5UpVmnHJUWYo6oXko7MrMlSRQL8WBhwCMZGmRoak2DQkmQdGjlmZ1zPDMIMUsVpD4SgxIa+dDYlit12GtYHARRRS6ra2cXC7hMJDIWGhO4ktzYEifHDlGoNMGyiqpIirrHW6g21Ep1oVaKGVnqGREDZ86wqNTKUEO4jJJ2mNrtKJPktBOi/pGFNCNdQ3XhdlqYLWOyuUZZPWucgZ6lzTQ1EaaME6KolaHuZW3UlI5TIhEhF5rmWIaSuTBXl200+xkumY0RMh1TSAY5btsgGxkg1S6FkuIGwY7hsUtWSrTQ2SGDTNjCIa6aSY1FRhqOIRa5KTn4YvCDt7T3WEZ/sw7Za+Lz9ayCNLMcI5sVZNj/iOXMghs83PrATenL10bwZ/7JM5/TCdcfSYdfdEDB83PsVxPoX9tc7uvl0cyHcxQhNR8+MZQryQi6EeeSwQEpGhoaqwc0SdbQ0PjdqO1eU7QBatbEOfSFlE98/PQwdrY454FT+XGsJEp7n7Kbv+wz179K37zzA/90BAhyl761NH/aIj8whJ0NfNmEADfloaKcAmMzyCgr9fWxftNYXFZTZUQ1u12ELXJRSWGtq6xMe/piSdMirTZlYy4lOoe4gszVKxR6UFlOuSIBG1Vn9L2hUOUpCSBthjOd4VBJRBD9RCpObTmT1qyrp1jPDE2bU0chF/Mzga1Z53ALhdFwR4LcW2g8s5qoT6iBrJhB3yV7UIZMarEjVG0lqaZkJo1M9KRPGgdQ52g7zw6BYM/PlFOGwtSSi1HIQKNfmLqXtVI8ZFPUaqUpVENdqtqZqyLSvaEtRFYI7weMX7x/KyPJPvuyG8Kmjot/LoVaQJJBgg2yMVuGhkYnKyvqIrSFV0ClXg11yaSkLMURNzOoJkpduV9pYvmx1Cp7ceK5HO121Db0wWNDxQ2OrCKjgnzI/+1N86YtFNs1TXrlzndpxvjZdP3bl/A2b/r7XfTFa98waQYBRliNh7PuPom22HsTflzXo5bu+fZGfuw4DvVYqyt164emvyLxwRoaGqscVm2SvBRdkWq5X3UoUB0N1Kl3/oIuNJ2krgsoDSGmOm2BThcJBBD4Tyuz/dkSo6CjRbpGmSJpUaQaSr58BIOaxJrVi4LlFUd1NWu+TzxYpn8kCATxGoaASRSY7NeFW6kQauQULy+jhI+MbOjhP062BscoWh+84awiHQkpEou08t4jwSapqX/wGXQaqXQox4LnTTVYREn8MtQOarUzt4PZvRogQkUkFsUy6PO2swJl0C8v9Fy7O+105LZs2bbH8Tvyc7scsz1NHzebPn/lK7r77Eeoc+869qYdvPMg+vK1b9k2zbtkI/GIaOQjl+ZPQ/e4uD5KyqPU3pxc3PkAQAw1oo7Zbzcnar0gnuyaIJr8xNQ8msMMdrFgRwVJ8DzixWcmHDRQAXVc7gpPdItQLip1tdJ+DP/HZchcEOnXuMzRzIfOcRBnbMd0qT0VoUo0zWFaN56hriUt7EjRt7SB1quZx77GbZkQZciiRZkS+oXqqFe0kRpzlWS5LvWP1tMakXqqssR5lXKRqGeyy4XXF1hqpqgqnKS0a1DcQNVVeC7PSlexp3K3WBOZVEFpBxILm1I5hJIYlEX0ddjmf0UhV7wvJrngyl4/YsY7xp4cGaEhSBSUx04SfDsqKtGiHOySkcyQhePBchh5UCCx8D4/aeSmfo4cGlICR4yMWI+fBBl26MPHP/NnETy5Gyq92x2yBT14/tN5toA411oaWileFqMhzwzjXXziyhf8v+9/xp60wQ4DafO9Ni54Dj94wVP06p3v0LFXHEr91i88Y7KqY6mmxlVXKPW7srysYOgEUhZ9KDdHjERwbePc92DXlhWUEJTMDWSUizYMxhqkXHooGxeMv60Dgv0bNCAI+FiYCFboVx5IENctnes/bkYTgsSkbCCB2C0ebHOHWOB08UUq2GZneCtKbFQSOER1DwWuUBNaAreoHiXB8/t2+sl/fP3CvfzH6ieT6KpIJpRh0FTCvNq7qJIMNahL+T5VpBdGqyI18a5DLNPRkURBnkw1o6xvqBJXhQMpMlgVRaU9f5HThXa30NDQ+FNhWRZbt/Vetye9ed8HlM1kafjr39Irt71FC6YvooUz62nYy1+xLOP5G14lx7Zp413Wp/KaUv4izCRSIplPEiLc0BjhCEW4qUtJhpJVZRBkL5HNH7Rtm5v7+HcQtHRaOCbkbFEoRcOeYjkoqssGUSREbsQiG0EiqBzHkQonywsgidg0+sjKDEp2g00aCCORE3XJLpMVYRRPQ7CGcyibC9OchgpqTkWoc0kbhUyHqsPtfJNZF23nKnJdrJ36xhupR6yJJiW70JDGdakylCLbEJrlrGtQ2hHOGIabpZxrUFMuSq1OhNqcMIWsLA0unUkDSxbQ7EwFzU+V0dx0FZWFs9Q50kbdo620QcUcsl2DZRd4m3EOIIFtZJhaU1FybZPs1hDl6sN8X++GXcpVEuWqRToiy07gkywPl4P0QU8GnIP0RKTw+eDqMZr3wjz4Ggub+McEMcKNDD4f7/ODpMKTxSg3Pd7zTLhxU6sksnnnATZx9pZX0LhvJskdc6m6cwXNnzqfThp4Lh1QfTyHh1R1UciZQbTtQVvQ9odsVXQ2ZOgLX/JN0tAXv/z9F4SGhsZKg7+EJN9zzz3Ut29fisVitMUWW9C33wbCdQ0NjVUf8KmFb+3b939EPw0dy7pPVPVgwdV/w760+/E7US6bo6YFouKAMIgb37/MX3/glgPo8Av396UV+IH7gCiTCmswoZmVyXpMgHM8C+RJMngqH0173BRmcAOfH0Ti2cRlHXJROQZJloQJ8oFspUXZypDo50vLkrGMV3eYFAuShsd22CW7AjHX8AkWZJqRREXUoKwdpqbWEkrn8PpECQeWbeDdOeoUauZKMGaEQIwTaYPastAdR6jZjtMv2Rpa6JTR2Ew1fZXsxnHTpVaWm/IqrTSVmxnqarXSoNhs2iI+lfqEG6khV0px2SAoAp9R4DYpaxvUmIrR3PYKKo3nKB5BmEmWq72QXNgpEQ5il9vkQlsNnoqeRxTFsBlITbz0bllAs1I2hdpsCnHanoCRzlKoLUumqhOPx8goiZEbDgnveMz2eH+W+mIkIHqkmI+1/Ix8Sz++aZIEGjdFHDYiboJsGxVs4XjRtEA0TeHfTDJDydY0NS1oo97r9KAjLjmQdjh0KyqrDhqJC+HMu06iTXffkKVCGhoaqw/+dLnFCy+8QOeddx7df//9TJDvuOMO2mOPPWjChAnUuXMwpfCnoFg5XinZq52Tao64b0v0a5KMmNrxmX8o2abI22xJuKAbQ7g9GDQSXYLnY03B86lOihl4c7BMpk8wj2JlgymuKU2BXg5TrB569Qq6ZXerVbpxrWC6ZP1oYJw+PBmEhqwTDTR7a4eD7QxPBfnyFaFgCu3r+mDdikiwnz26BevOygX7abUGxy7ZVZk+m6O4Z/QKHnf+IVMwkMVESpqEq5qit6qfsXJOqNpHxexebMwoeC6YiixDNdEvOiW0AmXQL09suNN6bLmFRry1Nu7HIQ4vznuY/wZdsoebPryCRn0+jqe+W+oDac8rd7wrHrDbgTe1LivLbDkh/uwiYQ8yCZmch+qfmNJTqppMlOVjEDCsE4exryBmaBpzQLYQWoCKKZNBuQI7VziUA2kMGWw/xq4XyCXBv5DQhpWXY8cMEbDBegV5CsBJYsL8Oupb10CpiEVTmmvo8O7fU2U4RUknRI12ORPyumiSGmyLFubKyDZEvHQXo5lJbtTMCQmE61JjrpR6hJqZt1aYOcq4IoGuS7iZBtfNpIwbovGpLlQaytC49q5UFU7Q7p3G0xuz1qeGTIxCpk1hVMRzFpVVpJmERiuy1LSojCOrIX8RgR/yfeHw4n3hMLS4FEkKEoupWzMtI7e9xko48IG0QquN4x0PUS5nkwUPaqTu8eeWFbHgqTS/HybPmNaVMeG4qTFBhuV1xp8rrifP/5j16fK84GvOEf7KMtIaiCLdzzAokxTX7Yzxc6jpwY/5PJs/bSHd9fUNNHPCbPr23R/5Bg7nbI81u/Gy2x64Bf9oLA71e1AdT1WHKKcpcHcwZD/AYk4XmJJRt1tTUdDRwsGJ6j2vzP609QxeL6QEZ4QVJV17L0WyWBF854+bFUgKe3cJJBa4LjzsXBoEf4xM9fQfT8sEDlEUDyQZCcWKYVIm2H4sGkg7do0Hkoz3El38x4uSwU0b7CA9DG9Zs2DoSSgWyDxsJdSjNBi6+XvKQ7RFOQ5tytilfE2qThem6m6hBnWpDhYd5DhqQFde0IgiU12q8XFZx9A/eMz900nybbfdRieffDKdcMIJ/DvI8jvvvEOPPvooXXzxxX/2y2toaKwA6DeoN72y8FF+7E1pq+QYaF7UQp8+/yU1L2ymxy5/juLl8AZmlWqwEKbhSeqJmRzLKiNPxduyEc8i07OT4kARSaJQbfZuXn1vXpnC5908gfRiWyDOoahoCIPuEc1qTNhkA1+bQ+kak9wyyAjkS3HKHJGJXjTsN6zlIG2uzZIRccltM8mQ6Zhu1iSrJEf1qTImsCXhLLU7EaqkFDVmS6nJjlJtKEEDyhfSwkyKXNulTcunMfFd6IhGRHaRIIu6WW20brSZmnMg+gFhmZOt5H3G20fiV6dIG6XdMHWLNlN5SBCErTtPo+GN/cl2TZoxq5rdKGoqIfsQnh3wac7lLKE9zrkcmhJCVDWOAwZpYVwh7doEM4ZuG5s3VYIDHTgfd3HD4VTEyFqkMBnZJIljLwMJfQKFz5VnC+TgKs4fV9Ewi/NCDIjS8s+/cTXIsV2q7FxFdw2/jio7ldP1R95JIz8dQ5vsuj5v5eu3vqdwNEzfvvcj3XrSvdQwT2hA4d/94ryHKKwmdmpoaKxW+FNJciaToe+//54uuUR0FQOmadKuu+5KX3311WLLp9Np/vHQ0lLYl1BDQ2P54Pdco0uK/331jnforfs+8FMpYAEn1+T/hyIW5dKOrzd24IjAXEoksNmeFllKKoQdmNCpmhxhLLyRmXBBn4zqhiRcPtl2HLIrY6xF9ri51W4LL2T2OxZED5IE1iZzjJ3cTUxwYLafG2TgfCGa9ryQDkPuZ21FO8XCWWpJR9kKzuS0DaLRiZ70SypDMTNN/WMN/L5qKEH7lY9h6pfl/xo0J1lGETNHvcMt1O6GRUQ0ilhWjn7JVFLEyFGpmaFu4VaanKmjOdkKyroWtThRChkuTU3W0lolC3mdVifO9nBJO0LREpuSWZPqG+MUDjvkZC2yk2Fhvsb3JGCxwooNXNyjozgOCHQxvZkrA+/dEbIUwVv9SnQgwkDFPUSG1yAL1wtO/bOECwZbveVkEEuOw0N4HdzMYD229QtJOzjxuQhvZGHnZ4ZMWnfbdWjMV5P4ecxewC8Z8FwuPNeKhy56ml6+9S0a/cU4jqz2kMvk+GbtiIsOpIpaJUp5BYYeQzU0ViKSvGjRIrJtm7p0Cb54APw+fnwwdeHhhhtuoGuuuYb+bKiuBKpbAXxRC8FQTM7zQiYUjV1eEwmWU5wWrIQyHVUebAuDoIdYY/C4vatRuDtVaf50ZwdVOGPNoFu2W1nwpditJHgMEykPYxKB48TpdcOoEBoQH1YAagb9Jsq00Tet/f3Ha5QHjhmofnl4eOq2wT6HVKcO5f0qMzmoWBUKWMlUBMc2Vq8cFOXzyJueqw1sMgw1DGZBQ8FOXIZyXriJREFZRdFub2WKJ8+An4nAyo0/8xoduNUAryQZPIkY5ViIsqkc5aRWuCPpzmHaHuTIa+6SDV9MqEDsZKWRCRpIMrTIbEchK9GePRkAcuw708i/kWhCQ6yyUy7+loXumHXI3s6IeGoRXw3yjHhqsb6xKEJUgoAO7L9NNWVJnzSjglweTlPWNmlGazV1izfRWlWBy0ypmfZJcM42KUUhqgqnqLvVRmVmlircDI1Kd6KuVoKa3Cg1OzGqMpPUyRTnbKmRoUa7hMk4DOSSrsWHcGjTAO5TXJgopfntpWRnQ5Q1TIpEczyNm0rEWD/NhxiyCigoUE2HrCSFMAKEqIgQEa+CzpJw9j1WQj8gi8BGWHIC6QW2ZZOZsQXpxvHO5ETTHssnAp2z5OacjogKs9gObDYgpQhcNPx0PcwWSInG+Y+cTrseuwOHmMwYO4t6rdOdbjnxXvrspa/o7Lv/QbsftwOfJ9cfcTsNf2OE+OjjEbrhvcto+thZNH/6Irr3nEfppf++RXbWoX/efjwv097cTuO+mUzrb7cORaVUZEXCnzqGFpm6zpOgqWOiQtatGiUEQ7lZdluDscuoUuyMAPX7EtIn7/X4el98W6pzFM5DD1nM9vjLK5tUQjFsOLj4LxU8v03lZP/xqHQwbia4CWFxV6gWJxi0vkwJqQ5wSmUwVt7RuIb/uMIc6z+eoCx/RO/v/MdD69f2H29RKcJtgG8rArlj2+QgMSWkqBnahb03o2qi0hMA+ZNETpGAxmaninIaD25ZvLCbSX0gp1yMKxXxFs+T6qjbUsfWZZVM/MGyxhXK3QIV5+bmZv9n5szgxNLQ0Fi1r1H405730GmSuMofw6RsxiaTI6sD/bE6GItp/JCoIAOwfIPFGzslCGshpGyyhAIECz+4UfYijiUxxo2VAyKHAYQdHCRLgxuDLFKC7LG0Q9omeQ5wAEg0+wMnDKISl9xKm9xym4xWk/2RrRKbrIjDhBjbCJs2xUM5lj6sVbaIKiMpfn9I+cq4JtVnS+iLlj40Lt2J5uZKaZpdTXNyFXzD2yKb/ZqdCJWCLFspWjPcRKVGltKuRc12lJrsGP2SqaEeoSbqHWqgEiNN7XaYX7NbDPrlLBP1lnSMWjIR9k8uj6epojRNsTJE64lmPY7hjhM5JQ43JBoRokyNQ7kKEcXNOmzccIREox9Xf5nD4kZBpOmxfhhE13EFQUZTHn++Ug+CSjFuTPEjP/s872tP8oDXgeZcNmt69WyxkGzog4TinR/p1I0uoK/e+JaDQZCUh+j0dCJDz930Os2btoAyqQwNe/lrcfMFTpfIUHtzgrbebzPa6x87U113kc6J9T1csOu/6ZI9r6Obj7+bVkToMVRDYyWqJNfV1bH90/z5QUMYgN+7dg2E7B6i0Sj/aGhorJj4o69R2L4hzAGVPjvn0COXPOvrF/qs14umj53Nv5ZWlFBrY5sgQmqzSKHEPeV3L5baj6+Ox4VrhbQaY5hCc+t6Mg0QZKUhiCUW4HO2SyFkkWTheCE8vY2oiGjmZVDI5mKISw4Hbsjo2LBLTgZEO0eiBU7E3UZCLmUdk3rH66kylKbOkRb6sbUXzUpXU8SwqTFbQgvTpfRBLkLb1EwVkgs07JFNCTfMUgs4Y1SYcLVweJfXijTRj6lO9EzjQGqyS6hTqI02LRFECYEkcTNDSTdKZaEslYWaiSdcDINSdphKQ1nKOSa7XfjKXvYyDizvcDzTXVwKNcl6MUsj0BTkcoMeE2a+f4A7CMI/QLJhn2eRmYQnckBkUUEWBBnEGDcvkjQrDT+e7zJIsegDlKEwssqFdEWQcJ41kBZx8fI4V4yBaw69ldbdYgCd8b8TaZdjt6ePHh9Ks8bPorO3upRenPswnXLL3+nhi59m6Q7w3Qc/0YBN1uAqMVIkmxa2cICIhzacg6gYLlKM21cg6DFUQ2MlIsmRSIQ22WQTGjJkCB1wwAG+Bgy/n3nmmbS8gKpSwamiTOHSv1GqTJkr0/BqYIjqgMDblR3UQK4qMB4PKTnpOfgpec8rsxHxRUGBv62nUbAz18gpg3g6VDDnfXJzkB2/R7dgWgeNQR5unb+L/xgBBB7+0/ln//H7yeAYfdgyKNg3JRgenfYe5qWCabPvWgOni/Z0sB1TkVuoYSLqfJiSeZLXdWtB6yjhKLIKttuSCDcopuhqRaqhZYnZ8rycKslRJRqKfCJveeV8Uc8vdTpJY3FcffAt3Di167Hb0xl3nkitDYJ8bLX/ZnTR42fSa3e9xyT6k2e/ECs4OTJjMY4PbqlvpvaWNJNfT8fqp/B5P94ZxWRZ2od51y2IkTpdKx/zeSf9jbkRD417LjS3LuGys8uEX7GIUYY+VzSPOdIajS3SMiYZTagmu2R3yZHTZlJ2WglVdGvLM04BKfXCfaAbrk/GqB+q0GRSSQh2bi6tGatnNwushuS8tBuhATF00RsUNXLU5kapzQlRpSVcLbqEW2m/mp9oerqGJqW60/DWNdjlojyUpLpQO+/rvFy1n+RcHU1QY7qEfw8jMjtnU6Iphvxr6WJhssxC3DzIY5IgCqdc4mwh3BzETLIzolLMjgOuS3bWIAPXajREuYhFlhftLWPAcTz55gLeybjGUOmXchn+OOS/DqZtbVtILrybm7xrV1T+BZ92KYlocSXUZNzXE+nMLS6Vv3v6cPEhHPp/+9LsyXPonQc+Zhu4nY8KJGHxsjj/qLjh/cvpm7d/oB0O35pWNxSbDlcf57kYKFDHTfW7VZW18eevvp7SMGkkgr8l+lUVlFVE2oLHbd2DcSEaqOrISiuuUy2Be0bJhsFCPUuD8I7xyUCv0EPGwnd0hVovEjh3zFEcJ9YIC90/8HhLEEDTJxLIEUeme/mPw8oYqmKBEm7yZOuW/uNkKhhPnepgnAlB3iURVRQQ0RZFXgIbnALuFtm60oIyUatdCYBJKvupBsNE8wO5TFVWowaFqEFtqi2k6oxSTHqxHNyi/nR3C9i/HXfccbTpppvS5ptvzhZw7e3tvtuFhobG6ol0Mk0TR0zhx9NGz2Q3geveupievOYl+uqNEfTk1S9Svw360BNXPh98OaLqC5I3bSEZaHiTX6YgW+xoIdPY8EWML1omXAgf8aKQRfwcuYb4O28MDYAQFEOmgS9tv6FPEENwWCbYIMXo54uIhL4snCogz0Azm+mSHdwLi4ppyiBbjuduBJVSkxJ2mNqSESG/DTlUGs7QxPZOVBdppznJCupa0saSCDTfpZwQJ2Vi7Gi0S2l+Bk4YEW7aq6AS2j6WpHGZMM23MZhlqdU2qMGxKEZZKrGI1owtotpwgj5pHkhz7SoaXDKDyq0ULchU0LxcJWW50c6kmGVTWShNLdk4+yij+G02hslKC2cRVyaA4n1SGnIJGcWNsc5Wqu4dxHtcxbcChTJuYJwQ9N3Snk+1AIuGyYCe2AsMgT0jbniwnRJJVJMp4VohP19eFlVk3MDIyjKKHvjMUbNYd4s1acwXE3iGQu4Q//O3E3eiv19zuL+f59x3Kp1++wkUieUP8oUAS7iDztl7aU9xDQ2NlRx/Okk+/PDDaeHChXTllVfSvHnzaPDgwfT+++8v1synoaGxeuHaw25ju61OvWpprY3703VH3k5b7r0xzZ4kvEY/e2k4jfx0dP5KDrSoCBQxyUIanldkUBLamJwpcgu/AUWdxsesUUkoiEdOZbkijV+N1hQ57KkrHBjsspDU2mK7Ul7AXshe0p9SkMbjjLBIw9+lCxlyddkKDil+i1rLKWJlqboiQZZlUH26nJoypdQ91kC71YxjDfG4ZFcamehLDTkQ5izHSeM1qq12qjCTtAFril1aN5KmWqeN++IQcNfNSlHaNVmOARoKOUZ7Lszpel82r0n16RJKOhGOwk7ZIaoIp1ijDCLemopQOhuh+vpSMqsy3HBoZA1yYGkHUsxyY0Nw4YhBuSrRrBhtFq4doaSw2MPngMQ9HCozkWPSzVIJ/Ot5mYdMcmOSGHvNmp6shW34hO8qTw7IWTr+TNVmPXYuQTMhKszid2GPbVAulaWfh2L2LL9hqHOvOlp/u4GsN85mclQ/p4FnJZaGIGtoaKx++NNJMgBpxXKRV6il+SLIc7coUuJ32gI/T7NMSWZSgkXc0vxpJiMZTC9Aj+chVxYc8nRl8Dw0jh6sdDAFYaaDL/nSmWZB6UVNTaCPq08E+7d2TdB1+0NTMN3TPR5MJw0qne0/3k0xS38/KZpWgJmZIPijdzQwP5+SCsJg1ogFr4VOeg9vTFnff5xoCKYuy+qC6aqkqWS8q93HStiKOtbxlK33tBIgYiWUzzKjPG5oKhwSozpYdMiN9/10xS+Fp3iU59XzqMOGCq+rIRLzWEFh03uPDOHHn70w3P87NMj1cxqpsnMllVeVikqu49CsiXO5spvBdH4sKg3jxGfIccW8UUzb2/x5e1VGjpmWISMIDBHT+vLEksEhAqLajAopwjG8RD4GNplwKGOZZOJ0tkW1lb2TG4V8gO2UUZjuLN01+LtFfPbejD8aBMUriXN8o4rp1LekkTpZrfxSfWP1NDrVh4lwjkLU7lhUYqZo59JxFDUdmsNla4scgjAab9fkhr24maMIOfR5W0+qz1XQnEyFaM7LxvgnkQ1RCJ380hpvSksNdS9tY3mHnbVo1twaCpdnyTRscq00OY0y+hunN+4ncPngO8m7P8BnQi4fE66eozEvYVMI0ouUTZZ37CCvSKOBL7jGeXrVFgQXmmLI3Zhkw9saW0XDH6rP+FzBmrNZ3hW2hJPJi/x52jZFymKUas8E+nOPeDsuldeWU03XSpo+ZiYtmLGQ/nviPbT9oVvSuTtcTZO+/4WOv/ZwquteTZN/mEpHXX4wVXfu4LKwOmApvqfynCvUVdVxU5Es5rn8qA5RqjxDDedS5YuAsq1sj8AdI9yqyCJzhV0aVFkFotQ9pGsVR6mFwaDStCCw+Bue7uc/7lsbyDASijPVqXWf+Y9fah3oP65SZBjjFKkGrlQPe1eO9B/PzNYWdI76rjmQKe7TY5T/+KmJm/uPHSV8xWhTeEVN8B5DaCKWyEhnHiCnHPaSeYoLSXOw/94s3WISCdWRRA2G6QBX4U2OIstQJa55504xaeJyHkP/EpKsoaGh0RFXvHgeffrcF/T8Ta+LJ2Ql0UOX3p1Yj7z1fpvS129/z6S6c586mbImbcfSaUGqpMDWAdHCYAs9o5e65+tXYSEm3RPw5YwvcegjS2IwYeYluIBZHuUKMwggqqAI8mBih2olu1ggZMMgF37IhguezHHU8AkGj3DQzFeOL32EaEBrC3thk4xSh1zbIAuSg6jDN5Me9+4REzcMc3NVPND+1N6T2nMWxazg5q0xHaNwhRgk0m6GPk3VUpkRolorTT+nulPIyNLA6HyanyulOdkaarZLyDUsihgOxaJpKo+kaWGylJ9rz4aoNYObU4OfC5sOzW2ERhNVYVEhdhwZ5MJez17KnkFWE/oRBdH2ds+NW0yiLLY2NsiExAFSZjTscQiJ0Bjz9lC1xYFqbmf9M+tSE0lyk0miqkr+/FxILFrkYAz3CQSKyBtb1qB7UgvHpV4De9HCWfLmXbWSA0yDrnv7Yrpinxv84zho23U5Dn3aqBn8+2t3vkPNC0WvAlwwPLs3DQ0NDU2SNTQ0lgsQU/3Ogx9TolU0Wa63zTo8Db7DoVtSr3V6Urf+nem5G17j2OCmha1cVVw4s4FDRaAzRWAEuxJIwiaS9QLPXC9lj4kqE2UkfVhiNgGhIyBTqGCaspohNbQ+pOdxKOOQnUPcq0V2XKTMOeDUMu3alJkZgJUVdq0uqrWuQUZLiPXITJDxu+VSaVma4tEs80RRsLZpRqqG6iJtNDHdiVqcEq4MW6ZNFeEMF6MjRob2qBlPSSfMuuH5djnbvgHfJnrAyZkWZiu4pj0wNod2rRhLbzZuxDHWkFpEIPcwiCqjaWrOxilkuqJp0DHIdqOUy5mUyUSIUibZVogzUrg6hTfmVZ04Rc8gu9yl6AI0TUFSYfD7F82O4pi5Ydxg2OTCWg9R1Dhk6MljXbinLZc3ICC/uKnBjAC04PLPfNMTj5ELHbLULwvLNxn6IncJf5s1cR65+IDkk3036EXTRs/yLeTee/hjuv6dS+irN7+jzffaiEZ+Moajzy984gy6/og7mCDHSqOUak/T2psFHrYaGhoaqwZJXppy/LLmgivP53Xsqi4WqgNGqzJNASjrWKlgqgJTjh5y0UBmEFsUPN+8huK4oc54KEoPFc2twZRHrj1Y9/tksA/96gKZxMZVQTfuiJZ+BTt2UYXy0D0ctMj+mAimgRoUlwyiQHoxdO5a/uOQnGZmKPyjvSV472WzjILvUVFt5E2rZRXJCqd6ecso04FmUnmxTsF8m5FSpurUbmplOnAxI3SlGztPlvF7zrvVDKjmfvXWdzTivZHsZLHe1mvTgukLaf500QG+1X6bMokBNt5lfeq7Xi+aNWkuPXPdK/xcZadKamkQ03fQItu5DK21UT+aNmYmpRJp/9RiXbKsIIumPJvJmfBQNshFEx/YIv9dpOhxdZmb+sSUL841thzLOYLwhS0y4QGcs8m25HnC55qoXoeaRNiGgwY3GSTixKSLAprcPHkBuRSO2mRwsIfLWmAQuepIkrJGmOZmq8lmTQPOfYcGlMwnmMY150qoR7iRIqbDf2+xY1Rvl1N3s5HSTohqwrhuDWrLhqklE2WXl4hps40cZlvhywz5BPgpiLHtGJTMWpRIRyidDFE47FIqGeL3YFbmRMV4gcVSLyNNlOsk919yVCduUK6EyEoSRSCJ4uMpLeKyMlNPWvXxvQma+1QXkZxNZnuaDNygxGLib7DnS8lUPSmz4O/XDtpySC3w2dR2r6b6WfXSqA5/Q7S4+J6dMWaWDDcRn8GHT3xG+562O51w3ZF015kP05v3fkBWyKSX5j9Cg3daj8Z8OZ7Oe+iftOGOA6mmqzI3vzphab6nlGVMZZrdwQxAIVcoddxU+wFUqMt40fDey1UGrg5WS/B9jOvRQ7YqWB+SHw8lCxS5pCLjMDkNU6C9lzJexIIxOq2MoZ17BNKCuclAhvN5Ihjj5mYCt431KwJf6i+bg2VO7hzIM9CQ6+H79mA8VTGzLdjmmPrALjeTUVyXFiocI6G4eSjqQlgyFnKLqpwaHM90jeKGobpNKGEuljo+duukhJoFMsvFoEg0VOeKou5ixeQWyzqG/sHyjFWDJGtoaKzQePb6V+lxuFRA8/fmt/TC7Ieo76DedMTFB9LQF76k6i6VFC2JUi6Tpb6DhC3S/KnzKRQJcTxwzwHdaew3Iv1qrxN3pt2O3YG9lfctO0ZUjaFBDplC0yoDQ/DYD6QACZNuCaoFsOENzu2wDcNypaxPNtBYhsGVfwSp5jS5pM32SQaS65IuV0NBDuHeBIsyhz2TJUFnezjo/ExufnMqHDJK0CMYppxrUEU07ds2grzCrcOGhZkdot6xRo6ZBtrtCCUpTO1OhN0usmRy7PSEZBeqCKXZBg6oCKfpy6b+nBjWkovT9FQlRU2XHTXSsK9zDGrORGFbzJXkcMimTMikVGuEKOqSVQ6/YWlt180mmmlRGFZ2i4RzhylHWTMdkGYQVOY/JnyScbMA9wtJlFE5h8wCRQJsl/XKaW7W454Bz9miA5HiG1Hc1MChpKNvsiTMDYvayYjFyIBOmcmVsP8TDZxKygs+E8ehKSOnUWVdBX37/k/8PGKmX7/7PWqub6F/v3kRbbr74D/lvNfQ0Fi5oUmyhobGn47pY4MKyxobiuoJT6M7Ds2buoDefWgIHXTOXrRwVgNV1An/0mf+8yoTZHCdMcPHkyFlEYN3HkRrbSxmQGD7xg1FkkyJpq8gUtVzvGCiheegYUY6n+fBioonqs0gZfEImax/BdlFhUMGWbjSDxmVlmabUtVI6JOhJuCnXIE22PHCjhHZJQZZ7SjbwvEBEgODKAmJhkFOuQjYgBojmQszoW12SthDuMRMU1U0RTWRJNvAecl7pVaWq8hJN0KOkaOw4XCCX1s2RmWhHKXgouGaNCXZmeUZ07NdRBpfKk4ZClNtLMHHAJzUgjbacClsuWSZLkUiqObarJnm4yWd0jgBupNNuUqXQg2WqCJzxQqNU6giO2QimlpWyCFTYau8iEEGLN7YtUK0VPL/QIwTGTK9aiFuPlgfLm38+GaDhdDi8/OqTSDsOSmZwY+sMPs3P5BzZFGdFzsdikcpl3WoplslVXUqo4Y5TdS1X2fa5oDN6K37P+JzDcud8+BpdNUBN/Hr3nHag7TRToPo5FuOpYqaoIFLQ0NDY9UgyUsx1Z3XRal26eataxWcHlCn2PMMs9sViYXqesGbUjptm4Ll0t2DKZvYIsUgvVswdRJrCPYpJ+NveT+C2SeK1gfPZzOBNCLSJ+gozbQrWfadgvf89uzAceLAnkGnrYqvmgNtXk4JKOkcRXqAQHsuOBbloaB7FRpI//1mg1MMekx/fxqDfWM7LYmwEmSVKQu2UzFdkawo0gsTA7KEpZqcF5tlUTpu81Id1OngxaQ3oYJTOXnTQ0sh21mdpRen3HIsde5dR73X7Um7HLOd//wmu29Ir975LlXWldOrd7zLpOrL10fQBtutQ5vuviGNGjZOak1d5kcgPF+88jXdc/aj1Lig2Y8mZrALA0h1YPvmkSeQNnZQCIfJlN8FotkPFUiUgqXFG08z2mQks+RGQ+REw6I6LKvJsDlTdUAcNJJxKVcqKpfQI/O24Z0MnojmN/C7aoeMKrGvpulSKOyQ41qUzpmUdF1qy0SpZ1kTk2TQxKpQllKuiJ5GXDTWQ4JeiZNmyUWbHaNIKEfNuRhlHYv/1pAtYemGh0QuwqYdvF+oUMMKjgxKJMO8DqrXlumQmzXJ4esUVVeRIsiVXy8YIUJktojwEFTMQZStHCQs4iaEcAxULRWbVptkpkBeveOUIwPHkyvNOZHGh8sVx5pL7vKz8KKqvZseX4ss3oe3HAJ+IKth5wulOTOXEeQ82Zqk69+6iP65yUWcmvfeo5/SpntsSC/d+jZ17duJQiDp8mOcP20hvf/Yp9RjQHc64qID6Icho+ibt7+nA876G3Xrr61KC6GYxCLP8ScRjHtWpeIYos4MKI9V14TFvqv7BE4RahpmqC34Ds7UKvIDRYZXNidYNVkX7GtKleQp4ValpYEUYfjU/v7jTtXB2Dc61sN/nFM0kcPa1vEfDy4XjaHA600b+49ZUuXtj2Jr9c2CwIGqtiR47/Fw8B7r5wYBKFRqF3S+wo16QcmictjbuytBYA2qHFR1DlEtMxUOpPIez8Mcn18iOCcY6nmhOJoUk1ioQV1LFcJVbGz9g8fZVYMka2horNCo61FL/7jxmMWe32jn9enNlifpwyeG0u2nPMAEB0Rq5KdjqEvfLrTdwVvQ5698Q+tvty517tuZhjz9Oc2ePC+oJIIzofqICqmMo+ZqMoJE+O8GmVERMOFCg84NXhGpf3R9uzGC/hg3z9CfuyByNjlR0XgmSLd4PTtkkFWfIytukQ0DDRBomDWgggq+nYKeWbhgsP6R9w+6dmkWLDOu01mLIiE0FEIfHKaa0gQ1ZEpYamEZDiVjEU7garMj1JSNU/doMyWcWmp3omz00DPexBVmcMNGJ0rtdpQqw0l2zEjbJk1uqaPWXJxCts2uFumcRbMaKinnhJgsW0aOSkpzQradNcmFZRb00yHsPxi2y04PkIugWh7KEEWa4F4h9p8FFSInmm9U8RmEUg6F2x0hQUFTHxZAZb4d1nxSXyy5qRfuwuldOXQEChs43qT3OSJFj+8SQvLQ5YSeUVacOQlT4ed+3DWn7rXTOw9+SKVVJZRoTlDfgb3ovyfcS+1NbTR1VIKquwakLRITgzPOMZwnV+5/I6UTGZo9eS5d99Ylf8XloaGhsYJCk2QNDY3lAjtn0xv3vE/ReIT2PGlnalrQTE9c/RKT5JLKEvrg8aEUjoTo6CsOoSFPD+P0PX+GR6k2epVEpkiSIAfT8arfNaq7ojopNLMixY01reVimoaJNUS7hkVmW5rsWIhMyC04ME8QYYqrVWpBlJkgIyQuY1AEnDsqXC54m/hjm0luxCTbNsg2QxSNZVifzJbMtkXJTJhKo1lqSJSyRhnNdhELmlzxOtOSnTidD0i5IWrOxanEzFLasZi/V4eT1MiWbkLjbJoGR8W3Z8L0S3Mtqx8SKfF32LsZIYPSmZAw/mD/aDl75rlURCGRgO8xZraEnzHvfwh2bkJKwiQWxyViCpe4tBuEhkCPzF2NFlFJhNy0CGsRMcQikEX45ckmS7b6sIV3OSe6BOEi/meNz5VdSURLnhWPsbtJR49zvHe8r6k/z6Cnp9zN7ikIEbnznw/y37FO176daYfDtuKbsQseP5M22mk9P1AEWvkJ3072ZUEaGhqrL1YbklxMYqGW/ost74URMDDaeMuoUxCqKTrQEkzNUEWgcwu1Buug0chfX5khyMFmSiKGznkJJxo8b6svp8wa2dMD2Uekb3vBkJEFC4IqyivuRv7j3uVBW+yiVCDhgDbSw8i5wbRXdWkwvfL9rCCDHhpOf39mKVm98eBNhpvNgh24UeX9qp65GSV4JdJaWGJh5hmhK59ZY3NBs/u8wbVjZ7V6vqSD6bdlxmossVgShr4wnO4793F+DBkFPJERLAIM2Lg/jRw6lpuunrn2ZX7u/UeG0PaHbkXDXvo6SFzja1NUbjmkQFYZfYswdcoezgg4L/C5h8PCTzkeE017qZSoPoMoSkkVSF24OSUa+LB6eUg09SGZLyX0z3ieq6uQAFhyKhi8DzLaiOcGAcJsECXgDSckCskE9LNCGpBKWZRtL6WWkMtR0VaUqFtJi99kiGS8NiThpWMsb66IpNjxAs4W0CajwQ+n64y2apZP2Jj+9TNSHIqGMmRGiHJZ2LyFyU2ZTGyNqJB/GGGH3DKXqN0iI22RG5ZSCAfXGizcENVNlLUCORScZCBBwQ8cLSDPkEVy1hCzT7IqYWJ5gyTNhkluRjTl4dgGrjRScgFpjLw5yIuv8KQY+AcaaJD0DsvAtQLuKBO/m8JSHkSd4we45ZOr6P7znqDtD9mKyqvL6PLnz+Pn3314CN1ywj107FWHUe91etDtw/5NC2Ysou5rBK4Cqy2WUS7ma/07ShYVeYZZGwRVkbq8Mk7yOoorhasEcrFbirctJcTJDgc6g2xpsHy6Sg3UULavnJ7mxGB8bO2thGuEg/fcmgoG3a/nBTdQa1UvCrajnI0fzQ2kF7FQMO5URILtj18QuEL1rG4qOF7Xj6kLttNPCfL4ubygZLF0TrAPdiTf0tJDyYJgf+yIIpGJBhuysoGE0i0NxnFDDYxRJTGKm4VY0FjieZTPy5YxTOQvGltXG5KsoaGxYqFL3048kFqWRXU9argh7+OnhvE0/1qbrkFjv55ImSS+OAX7yqSyNOxlQZDxhR+JR6hrn040Y+I83h6bLEgdHFu4sYUiou9gXiyS3dg1gb2Tcyyt4K/xSJjDKzDAG2noZfEcLNEw/Y/qp01uaYSpeA5jCIqaaeGf7GbR+GaSnTG4fwA3r7moy/IL6eYWuF/gMfeemQTq3tYWY50+XC1iFWKAsNvClG03aVaylrqUtrF2uDFTIhIGcwbNSZRQp5IQ1ZW0UziS432qz4RpelsN6xvdnEHJnEXpVIgiUazlcJMeUBLNUS4bpmwrdNZETimCV0QjIbdjlNhkNcFKDRIKg0zciGA8x/qmlJXAajrtCJs8MHYeNB0KtTscLMJBIuxmIZr5/IHSa6D0yvi4GcJnpEgk+MYWnxGWRYUYq8tBlOUyWEc2afLg6tpU062K4vEqmvvLAiqvKaem+c307bs/8jZfuf1tWnuzNen6I2+nQduuQzsfuR2H0nz73o80cKsBZIUtipVE6I5T7xf82zTo0mfOoXAkTD3W7PaXXw8aGhorHjRJ1tDQWC4YtM069MSkuygUDlGnnrVcTa7qVEnP3fAqvX3/B5RBtLtXReAGO2HvVlJRSomWdkq1JqmtsU1UkKGNRVVSkmTWrkKnTLZo6oIMA6xLVlNcaGWhj5CcjavKsvrFVmZOlhw5xe/ZxUFW4c1QGIhTZrYsvZLR1JaCjtmgXBdTkGLpDywc2gwKtYtkPu5rQ1Btu0suZlc4bjsrpBc5i+Nmm90SGjG7N5XEM1QbhzuFSxXRLFVGM9SQjtGs9mrWLsMPeUZ7NeuMc7bJTbbJRJhKSrMs7WBDj5xw/IAvsgPtMYJNMgY57SFRTUbxHprplEVOmbCtw07iUMHS1dNWcwUXIgocEiapovEq0pwTSXtZh0y8ZxBdxcsW+gvWFmMduJWgAozPBw2T+HwhgvZmBnC8IbuQNn5ipsBr/BG6bv48HTRi2tQwu55vqjbfa2NqbWinpgUyOS9k0l7/2IU+e2k4JVqSTJyz0iMdcosLdr2GFs6s53NunS0H0PhvJtHGu27If29e1EJjv5pIG++6PkXjHWYINTQ0ViusPiS5SGneUaZrVJhqgIS6jOqSoXRsUn0QuAEYtYEpvRsPJB0w0feQ7BvIHsKtwbayJcFrw5O1kEl43rSR0u2brQzeZ3ZOMEUyvzT4si+rDWQJ9S3BtI7tBNMaTW1B12osGkyDoDHI3+YipdNW7aLlzp3Fs+PN5uDYoRJXCOrUWM0Eteu28OdnZpWpG+Uz40CJ4A0EzythMB21jCqMIp9/3meuQjta/CZ06yfcA77/6Ce6fN8bKV4apdZGMYVXWllK7S1imnabAzan4W99z497r9ONxn89iYnVotkN/rZcFyl8svHOszTD54Vzga3iHK5QGpBagGzJCjOIGQfL4DNXpVWyac/zUjYQM80ODEJSAO2yK32RucIKCYZrELI9cki6hgQBdr+4PsED21yWXnjF1XBDiJwSm+wah9qa4kRJNK+ZZMREpHNba5yyWQSnENWUJsn7WoCUA57Hk5s7UUsiSuXxNFvAgSBj27FYjnc9Gs3y79A3L2wupWxbmKy4S5Zrk41lkaiX9OzXvFK8vJZxGFnOhIq5S+ZCfI9JG7yFWQ5ZMUyHzATitU1EAoq47hYIs4PqMcMj1PhcIGtiHbLUHfMbku4UXviLd+2y9ELEUHMgjOdsgeleJXoapPfrt3/wHS56rNWVbv/sGqruUkVTfppGc6bMp9LyOK2/w0Ca8vN0alnUygQZQJjN3d/eyM178VIxXX/eDlfSjHGzaacjt+HK8mqNpfj+UqfMDXXKvdgUuzpFr0gADMUpgX9XHKMsVeaoyDDsymCdcJvioKBKMqChLzQecROq3KZyT5fOKA5G9cHY3a44W5V0C2QPLdlgfIE0ysOcBUEgSEVlMObOagyej4aD4zV5diC9MBUnKHVstSeXF1QUhpVDqkKVMsqagFg3EbxuqFmRL7YFEguS4T4MRS6jSk5VhyijSnEwwW4vWBj8TXW6WBrJxAo0hnZwc9fQ0NBYdqAB77MXh//m9dFABU9kEOSy6lKeHn9m+r203+m7s6Z00shp/NwWe21Ep99xPK271QBOXWNIgsU3cCC+IFp+z5eMqcYXLfSPqEbz1D4CQ+SAlhUpbv5K8kuZ7wcx7Y/p/6z9/+1dB5wT1fo9SbYvy9KbdFRQQVQQrNgbNixYng2fz16fvf3tioVnAbErFuwNUbFgw0ZTQAQB6b0u2/sm+f/Od++duVkSWBRkl73nZyQ7mUxmkkzume+e7xyEysMIFYfFxQFp1O5SNkFCHEA4PYiKRiGESiJIzY0gNT8iP66hMJCcx0ARDmoBFcQhFVgVXS0uawVkxCEEykIIlYcApmeVczeCKCtNxbqlTTBv+g5YtrQxVudkYfGqJli1Lhsr1zREaWmq3F+X4/tDlhamopIx01VqYCovZ4x3SDlsaKkgEynFpk6VtRX7pdqhCAgV69I5C7fkAiW0hVOrJTNhL43bCiIY8aPA5T3ixyAXBMotBGWVCBZWIFRaqcJDcgpU457xUNY6cfm3ogLRoiKtMw6qzyYpSX1WxrnE7LyWbpiGTY9gi5tfEDvu0RGfv/ydrM7mu2P+fSgmjpmCF24aibs+uEGip7nfex7WA/se1wvzpy70CLK8f5oolBZahMHBwaFeov5Ukh0cHLYaXrr1DSQFktG2a5u/5ApQUliCRi2zpanqwofOxrypC5Gcmoxue++I0U99iaK8YvQ6vAeufPICvDPkE8yevAAZDdP9KkMgiEiU8csBXzZh9MkkVYyjFsmAipwW+zHtpyzpetplQZwTxJY4Ks1hsj7X1drbKK3MDJmW2Qs/dlpIWhhgMnQVI6rJsVKiEJM5LVcIlQYQYiGU5Lqh0kl7VSySVIaOSGGKDYZRgNHQrGCz6rmiqdigpXcsVdbPlQFUlCZ7YSf5eRmy/5XrUlBaloxgBqvoQLicpJb7D4TLVIk4VBZCsFhbSGeoijcJfIjSDCo/KikfAVIrlbMH9IwWtcxR0R7rt10qdtpjWiwuguIWwgsKyi+8iHBawrESZzXImpkc42UdCCX5nxmr/tLsp4iy54UciSAYoo49iCoTIqI/Y4IXTuPenSC3Tt3bYZ9je0maI0ENcqPmDTFswmBUllfiwXOH4Yf3JmDyF7+JDSFlP8SQb+7Cr1/+Jk2iDg4O9Rv1hyRb5fuYYJEEZta2DCNGelHm6wSC2VlxXRMEtrF2Q3/aKECTU43UnLK4U0gxbhVWmIhthF5lZZeErIKHGVCJisaW7CHPP4bicr/qFGrsT6msWdkorrl6eb4lV4hYU1SWrIJVMIOIdM3r5QwmMPdNOIHIKvyXarjIv99ghf++V2T5x5JmyS2SLYcQibw19wuL43ZNxziSlPlvVtCazovYU4Bill+2yamimO+RLcOopxILNtIx7ndzQXu30cO/kPtrlqzF/534MKZ9M0Oasg45fX/0OmJ3kWN89sLXIs9YuWC1rFteWoEmrRtj/SqtQ6JOlZIhU21kNdKyhBM6R0cZEqqycpHnkDyryqQ1qUZiJwEZQJQeuoZ4F5fKNGgkJQmpq8tRlRJCuHmqkGnKOJILlc9vFb+3JH3WJqnZZX1b9L3K5AJsG6zI1v7J5Ov0Ka6yJA+m/T6kLM9E+JHqqxS4L8lpVagoVtPAVawc8/xM4z9B3zGnKAmBMkb8hRA0muiiAIT6s8Ceq94vVpDFyq4iKuoLIctsylNqESHBTNoTjbXKHtH6ZaU39qRPjAdnyA8JcyWb8Gwtljkmvj/aC4DvFavGdLUw0++yGnc0pKrMWv9sYqbpgiLVZeN4odF259aelGL2pHmoKq/CASf3xXO/DZHYc+NYQbs3eif/gAkizwhZv79cp82lztmixrB+76QXQCOYYTkb2T+PliQjQHeZBGEU9mNhKwkxtK7Af400f1xLtsIvIkn+c+ndbVDe0F8/YhlbUR5lkLrKHzvCaTH+Kh5KCv0nLAw3jStHbNKkKK7rRV6efyzl1hia3cyScORnxJ3ut8d6Jl/G23/5HdHIXOW/8SH9m0ZEaHOpkbLOf10GKBlI30Ac2J+fSNYMCmLDYOwxUX534y2vA2No/SHJDg4OWw3DJj6AVju0lNCQzcX61b7YvuNu7fHdO+PV8hW5eP+xj3HyNcfi9x9mitMFp81nTZovP6LhygjWr64QskRfZYZG8EfbVB0jSUmx9o22uI+kiD/QRu9Ke7jyctmWVDyVmNfz7JVCcFqyItbkhBxMMpLVAFwWEc18NDmESJBNaVFESWbFX1lLHNi4x6osfSrKgXA6XSBIUkMI81pN+F5UGueUBkPreFlp5p8syHIMKQ2hdF06khqUI5gcERmF6AL5uJF4UmtZEpR9YUBIJD2KSFoAQfo5hwNSzU4uVdVjE2LH/4XEzo7L9QWFyEwoowgiqRwIlIZFZkHSztAU8UMmjy2PIGV9qVha8kZSLMcZ0A18lRXK1k0aK8UYWki1VIv55tB6z2jHCZN+KGl+lX4fSLkm0bqSz+c03aGxFKdZWR5w+dEYeP3xEnE+99f5nnXgQQP3xU2vXSmuFTbOuXMgDj5jf7Ts0Mz31XZwcHCw4Eiyg4PD30b7bm3RsKHVyLkZOPGKY4SkzJu2EG89+CFadGiOpOQQqvTszM8fTZbmNZZmZ/78pyZ2PgElSgrKtJuFSn8TIkWtsYk3pmyCBDqdtmtSJ/XlFiKboMWbFYlMRDidn6IqofTlJeEz0/vG/oycrkQ1BNLNgnZwIqeQzRiCbGZdogiURpUDRroiv2ymiZbqSGVKrPk8VptJVk1FmRUvKkRyKc0IIFwVRNXaZEQahMWpQqCLMAG6V9BrOZfJgEmo4uNs5rU5IAk5pR3UPau3QhFe2rrJ+6yXSSOfIuDSfGc16UhjFBeVhhGiDCUpJE150Yi+sODFB+UQZZXK2cImoZVViJSUIkDtOD9HVqxYGTahMCTQJmLcJPDJe0g7Pu1IIo4gUeSszFfNmqzo/b5E7ASPv+RIvHjr697LjXt3PLr22QkDrzseFeWVWDZnBTrs1lbWpS+yg4ODQyLUH5Jsd9cmMCiwzc+DaVaYhiWxCGX7U/QScxvHNUFgdeoGCq1pJMus25ZYVDS0TNWt6UkZKM1T86wQFA6kGoXtLQcMy2QjycqmL7MKfKbzX9b508pe59RvHMkELEP1pFzrOK2ppaQi/7Uy1vjbL7N845OstyFzlb/Nikx/fXrNettZZU332LNedke0PUVTPdAlDmKlNv60UaSkJLE8xzbFt3fDNkJP8NzaNG30T6A4vxgfPDEGXfboiP1O2DvuOgtnLEFaRipad1bOFimpyTj12uPx4DlD5e81i9eiUYuGaNmhPeZMno+MhhkIV/mG/RvAkCv5VxaoCiaJFN0RjFyC8casaFJ+Q42yhIHQjzfghyBohwX5oNlsZsmaxBqO7DU5hFBZWPrTTMIck/ki9DxODiGpJExLCxUuQr9kQzhFLhFAiFpjYZiqQs2OexJJVpRZgZaGuPKAJP2xGiwaYJLpEKUcyvlC0vDCDOXQ87HkwaUkp3rTvAiIBhDKM4ErlCYFxJqON7ke0GEc4t1cGUUy3TfSeJnBKjrlE5a8Sni2asqj5IKSjCAlFqVVsp9Cgo3eWCfoBelxzYsTXoiQmPOih5vL0+E+QaX1NkVz8xkKKli6tirKpmdP/9t2p9YoKy7DupVqFoLr7HFYD++zGnTvGfjy1e+wfoV6PHe1+mG89Zj78dt3M9GgcQZuGHFFwu9ofUDCqe4ttB1bghgjWbN/N+371av51vNDq3wXm5iLtRJ/jIg08DUHqet9XUJxO/8kTi2weIBlDxHwFYgxUsZka1yz17cDOKpyfa6Q0taX7eVP90NAwjv4+5OU6R9X8h/+cwvzfEesBsssaaI1hpowH3kt6z7PR3+5f78829/PxjMt+Ue5vw+RDH/cDNqOFtY4i2iCz8lebtttELZxWKIAkZpgG4+nzt3CwcFhi+GN+z/Aq3e9g7tOehg5K2NtEYnJX0zDRbtfh/N3uRpL5yyPeezfD/wLO/fuIvfpd9v7qD3wUf6ruGHE5eh9VE+cefMAdOnZ3n8CHS1IfINBVU0UMqia4YwOWZEw5WYhbgna1YINfl5ABfsPxKZMRS17y8jRCkvUYM2EOFY7ORBQX0einF+GUGVE+Scbb2C+djggRDmlJCJRzeC4I5VXdUti8nKFb4smhDUaQPoqIGUt7REVQVbLWbVVxxFJpa+yItJspAuWB6SxD+SeZZQ5BBAqBpIKtGsFx61IEOlLg0hboSQTIXG0UNHUvu1VFGmrTfiKJv6sNJsCtBBmVeENlUVFkgHqj8uq1HWyyCLC8niwKoxgeRWCFZosmSpwJYNPOL4GgSaNEchqoN5LDc+tgtVlVpZ19LQ8l8vKynDJI2fh0e/uwn4n9pLvztrlOdIkGKFUpqoKuStzUFZaLhp1Vomve+Eyb/smcpqpjkRRbgnefmjU3/26Ozg4bOdwJNnBwWGLYYedVFJZdrOGyMiyukk0Rj+lGvTClWGVnmehRbtmuGXkVd7fJMoMC7n3tP9h7ZK1OOnq/ijOp7OD8eHVSWwbvIqqZHpEi0RNkzDjpCAgcTO6WEaPkwzTD5QNRMbtgo9rKYCQVtMEGo6K3ZhYnRmiqGeAqKwgCQ4VVyrr4SCrrpxtiSI5JyJEM31JGKlrqeVV65uKGglyUgFkeUoeK2IB+Td9MZBcoDvoyN8r2MQTQGpeCCnrkpCUHxCbueTcoFS/QqXURisdM2+sVosvLI8hrF9PV5Qpu2BjDVMCpXIcjiJ1XRihoiqECqvE/zmpJIKUorCkDEpoSEWVItGmSTIU9MNX+F6Il7FpwqN8pMr/01T92ZQnFx0hkcgoGz4V/CIymJhY6yQ8fe2r0qy5z3F7IxgMoFN3XjApxws+b8Ttb+Nf7S/D6TtcjDsGPITeR/bERY+ci2MvPBy77d8Nd586BAOuPEbsA7OaNMBxlxz5F7/lDg4O9QXbn9zib5TmY6YBLHeLmOl2q+MzsJHp/eh6vxkp0EZNKwvW+dW1JGsQCJZb27K6dJMLfBlGWUsrm956buO51lSGta/lDS25hT/zg/Q11utazan2c1HsT48lF1iuGlbDsj3tYm9HvFT9lbx7IVbVzP408j+n7IXW1I+VNS96Uu+5lttIoZVEYgWpGL2iPDffav21pxLtqUH7s7SnAzdmll+TKcp6JrGw0V8ISVdxnUhvEBsOQMz8ebZ3f+6UBRs8Tj1yRjYT9UpRWlKOxy99HivmqdjpF24eidVL1vozfGz4omQAYQRTUsTCq6ygQvyHxcrN60pT3wGjTyZEAmDS9Ci7YcAICbEh1vLZagNhQwRZuS6oQoBTvMlJ0qRGmYWQb6ogyiOo4rnLqVjyZ6Z/SDSz2gXqkiubhqRaS7lUMhv5WDRNjkojn3LZUNIMSiJEyyvfswCQwRAPPo/NcaxWs/lP7x7D6yJsDFTyLDbksfbMBkJWlI1RBGOj+XpBkueqgKQEkqHTrYLSEKOe4t/JrBjzLZDmRX0AlJuIPiSIaEYyomxWLNfVZO2zLFcFIkFWUheVSKKSEPk3Y7yNR3K0skJJYERfzqY8K1Zc65gNCZf1ATx6yfPIapSBFp1aobw8jGBysnYiUjtfuF5NKY8f/asEzVCHTPy33/9hxo+zxdptdMFrf/t7vj3g70gsEm7HGn8TbT/mN5QXpwkkizGP2f0OlkOU9AloBHXwEFGwe3PvfvoafzvlTXxLi6xif0wpbWoFlOQF4jpglLXwf9cb/OmPyyJf0iip8nUbkQx//ZSFaXEDPmxphx10UtrSH3Myl1uBHXaumTWepq33N8oETO+5VtiWPVbaEtBoY1tTFr+BNWpJS2OQSHqxgawiwXfB5laJvo7beDzd/kiyg4PDNkWHXdslfOyih87BK3e+jfSsdJx2/QkeIXrptjeweNZyXPTwOeJ/S0wY/QtKCkqQmZ2BPQ7tjl8+nybT6wKxWPPYp6SuVTAVj5IKEmJWb02THckvq5O8KBK/ZO3LKzHXUURp98fnpqZoqzVlNybPS04GxA4wTVWexe2C0g26Z+imPyF0SisZoA2xDtgIlYbFQkqRVe12oRv+hJTKHSb+xQ5MHAg5ANJBIpzB52jddVoUKblAZSNFIENFOhqb1nKsALOgasZuEnqtVxaNM4u03A9p0guoKjCrzKIn1j7JvMYkyed6VRFESYopLdEsW8JIzMDHZWJ9p/2k5TW1TVtFpbp4kRRDtUOii2Zvh9Ely4VFFBE2U3JdeiQb/TE/P1ufLN7VEUnQy1mRKzcVRa4JmdaWq6kF/htAk9bZXthMWUk5uvXdSUhy32P32uA7WZhbJN+xWCcUBwcHB0eSHRwc/kEc/e9D5WaDjVRvPaj0oQ0aZojulB63P74/XpL49jm+F25+9Sp8/MyXGH7VSwhT8iD6YRNfzNKrRTSNf66GJLiREJuqpPlX1g0gkJmhqpwkZiR1JsGtrFyRuIZZ2s6MJVolKZBUZEoPSBwrwpK+x5hq6oKlkl2lqriptIgjkaxiU1wQSQVRVGUGVTod+Wc5SXRA7T4ruNrpgkQ13FA3Iob92GjuR7CcDhlsoFO6YQk04ePhKJJKoohkBJVXKn/dtTMF6bxomEvol6YuBYJMDuR+878yXmCoAJPkUkZHRxEqqUS4ka6AGW7MYw3Rg5kkWOmYlR6Zz9GVJT5erBuY6DDCf0mQebHB95AuGMYiThwx+PmpCw7xQS6vEDkFybJIOLRbSe5qOlkExSNZNfOZRJdqnymikpqXv7YA2c0b4tJeN4qjBZv5/nXryTHfvfce/RjPXv8q9jikOx75+s4t8RV3cHDYjrD9keSalOYTrBPTmWvdDzX0zb8jxb4LQowDq51Zz8eyrHbZPN/8HPZyy3zbq8ZUQyTFl2Gk5PpTHkmWHKIyKxRXYsFoXIPwygRVEutlGyyNPw1kT/Gk+ioSSd/y7if4JqUUxu+QjXHqYPBAnGPkIOxtP9Of95IB2cCSYcRkyieY6pOqofdHJL7xfbV9DRcV1UiW4fDXUGF1VGc2ykDX3l3k1v8/h2LxzGXo1EM169Haq1Wn5njk/KfEEWP14rWxpvYBX8vqfXomtpiki/dZyQwaohtB0EimTFXSaJb5nJRkqYaKQwa9kwl+99hIFwwixGY+Vr3F7jgghJJbCRYxaU6dl1IlJmfX7hCp5InFlShvRqcNIJkSiNIoqliVLY8ipIMAKlN86RE1w4p/qqpxSjGJpI6Tlt8ePkE5YFBCYb75YknnBZNoyzaJktaHmsT0P6WlTs2nHCWMSIp+/9KSRGIdLKlUwQPc/6ooQgWawLKirkNEApRc8H0xbj10BREduK4Y87NhdTlVVfGl/q31x6YSL9InTrcz1CQtVc0GcNaAFy/Grk9+l5X+WP2h9eDSmJeMc+44FT+8Px5//rJAIqWHX/MybnjpMi98ZtmfKzbwQ+ZFGPH7j7MQDoel4c9hM5HICciWqcVcxAbiSyw2Jnkr8MfQgPVbHSjxpRRRy6Uha652UOF5kO4PVCl5viSvKt1/vbRcy22pgX88EUtG2OgPKzDL2m1bapi+yj+2imwr1EP1iwqKVduGoNl0y8ayufW+mCAhkVUgrttVeo4/xiUXWgEf9nttfQYxTiCWxMKWqaDAlymy2TZeiFpMoBbDmMziauEj3m9r9ccSOY3VUleo7Y8kOzg41CnQxYLBDgU5hfj3/Wd6yxn+sOOenSRhjf7JrA6edfsp6HHgLvj+vYnGgVicLbiO530s93xpgLqA1W4S4pkcVPKKpJA4I7DSLNVMOjik6h9260IsQGLNkcoM4rzQSksTAhzIVJXWEC2V1pcCTOjjSyUFpJobZnWZVWUSVk3uaMGYlqsCNyhZSC2MIGVNFaLpQUTSST6ZbBdFOMvss3Kk4B9s+pMIPJFL60Y82V+lZRYNciUlHCoYJMJ4bK6guDyClFNo/2Oux6Y8bpMXqkJqKP8Qeyv1XrKanMTBSyrdERUG6JFUbdPFi1OLNBvrLrHWkwY9XrxYlV7LN9k066mqMr3oDIMnWSfJp02c7wQihNqOqdbYvd8u+Gj458hZniPJjxWlFfh51CTcV1yGuz+8EdO/m4mTrjl2g+/efx48C1lNMrHv8b0dQXZwcNgAjiQ7ODhsMxQXlEhYCCUYdLf4+vUf8PPoyeJMsHrRWhx/2VH44f0JePHWN2T96d/Pwszxf6owCSGI1T2SYemQtb8uk960BEMKFLoJjElyUuGUapbSDUuDCvkciZ4hcPyXN131CpAgy0yFdtEgDw1HRMUQodUY+V95GElimUZ5QgDh1JDXGGckzCzVqubUAIJMuWP1SDfH0R0jaU1EPIvDjHYvVQQ5kBpClA16YDy2DvrQSmoGfPCQKceQbQcDqCDn1ySZUgxWmqmHJokWxwrKL0hmRTMdRZDBd5RhSJIeya8OUOFOS6JgRFWOtZc0tcvKLi9ZvRdlZapJj7sl0d8hPyjEXLAYVxKxditXn49u4ONFS9fenTB3ykKEtaTGr/4av2S/Uta5Rzv0v+hwvHb3uyKvIE68/Cgs/mM5Jo2ZgomfThELwb79N9QiEx13a4ebXrlyS3+tHRwcthPUe5IcM31ul/stRKzp9pju3WoSCxsxOfR2HKo1bRFo2jhugEjEChwJWZKDcLr/cSUVWdNGGVYAxxp/nyobhOKGd9hTNpXWc4MSlmD+2HRMa8ZqS86R6q+fzIHX7D/1jXGQVGrlt9vTctb7YMsqktZabhU27GabGGNz63O1s+arLIP7JP99Dhf5JvDVkdDRopZOD9UlDLngKfz4/kS07Ngcr8wdhkfOHy6aYxJjVjZnTfoTU8b+rlYOBDDjpzle4l5qegrKi5m0pyPiNDlWq5J0GoKlHmvUIhu5K1QogZcCZxoA+Vnye0gNMj/vYBARxlSTGMsUv64um+9bGsNIAkKqqdMVAunlQvMLFQHofEG+mkJGqrZPHTM9kKNMBuRrkNUaWQIryPx6kkTK36oRUNS6bAQsq0IkiT7QivBW6V1JoqSJ85Z0wdDhJSTPwWgUaWv5HphYayU7Ees6Fm21hEIepGxJx0jLLpVWKc2x8TI2xJSEtrRCnbM8VmOPx0q6NDuqSre8FZRfFJeq3z++b9Jsp6r/8l7yvRMC71+AcJsr5ixHVUmZjuUOegEiduXYfMYLZy7De49+IgSZMhDaup1+4wC58FoyaxkOOWN/VFZUoby0HKnpmw4bcvh7sH8f7d9N5UCikCAoPiYUUmCNR0zK9J9kPctyMbKDpSJNfImkhNqYp1oXWMmmCZjXtJZsQNIkzXZ0oy3B2Z940gheWHrrrPfXqWgUiBv2YbtVVHKmR6PJbCs8pczfaEEnS3JphaHY27TDTeyxNVTkywvlgtbcpyTKwB77rPfHC1gibBkNz2lzP4Fz1AbjZswDCcZNW8axhYJutgRcO6+Dg8M2g+hb5d+gTHfvqVPT6LNMhKxUSt9LDbj22Yvw9vJn0aJjCz1oKrIZpAbY6JDFe1ffIhHkrSsUbbH8APMm8gJVVZbNsrJpopBJUtNSEWCjmbGjoqyAFWbtyyvr6QqskEfuKwdYieLTASPcjrnQZQOfDugIloQRqgyr9LqyiAzMQjxp2UQybbZjdo7LkgISTpJUHBWLtuS8MJILwgixYY96ZGkQ9HsIKPmIpmq5Q1JQLoKTiviaYZFXqOZCJbWgNEMCQ2irxltpFUJ5JQB1jDxuowWuqBTJBivnHGhtYiNVXwloqVK+xxUV8v6Ziw7lU215VlPzrUmwcRPhZ1CYW6wq/8YrOaoea9g0SwcVBtCkpW8JVqnTwyJs+otEJfXxicuex6qFazD31wU4s+3FOL/b1eJy4eDg4LA5qPeVZAcHh20HpqIdcNI+6HFgN/n7gTG3KjLDiuL81cIop349A1VS+VCygqTkEA4+Y3+MevJzrFm8TulXNdkW67EQ3SICSlasrd7MTdahHpfSBlZJuVJpOSKssNIrOSVZkWXavWmCrKrHTLarVIl9XMaGPd7o2cpQDCMLIJkUezQVNMLXSimuBHJKEU5VqYBSwK4MIwyV/BfRNmwinWDlSgrDSjoh1eX8SknKozuGAsk9kFRBlwvTIEeCzWNX2mz+rdri/MqbkFum5/E1yNtJwlkt5nIh9Nwvvf/llQiWliFYWYkIddqshIfDIrWQY+Nx2jpjXlzoABYGs8j7nZKiLlbs6rqRUJBks9ofYuVaW8FpXbIcgRUmElBKaBTmFKJpa9rArcf6lXnYb0AfzJk8DznLdWRxFPjkmS+Rmp6MrMYNkLcmH2WlqmFo7dIc0bwzDt3BwcGhpnAk2YI9FZ9oSiDIqdN4UwK244I8uGm5gtghGRRZrhlsbdeobNgofqeqNV2StgZxA0eSiyy3DmvayO5+tadmKq2uXnqqeuuwWcjsgrWdKmuqKN2SedjlJXv79j4ELZPzYJk1HWbJJ2I60W35inEa4Po5VvSxHXNrTc9FrGCXYAPL7N12ragmL4l1Ool5yFrJSSz+Cr554wfMn7YIp988AA2bZMmUuP2Zp+tmuC49O+I/3f+rCbLHkbHvib2F7OSu0p9rNIpmOzTF2mU58tXrvHtHzJ+6UFmRmUokiaie7mdl2eiUZfqVhFiHXgi0NEAeI4kzzhgkiZyC5L/GZs58FylBMFOUwQDC6axYB1W1VRPqIJv6jIsNiXwkijDJMPeDUt1ARMkbSI6ZaseEvNIogiVVQGoIVWGGjvBx6o81GS5VmmduS0hnhXK0UNZxKh2P1WvFgIMIRaoQplQrJehFTUsFW3s+e+9zKIgoj4W/aw1SNfmtBHiusrJsEkqMGwjfh9IyROn+w8dMAyQ3xylxvfGA/d6axzU5VlZw/Fx0w5+OCbebKNvvugMK1xeKl/ZRgw7G3F/ny3L6IDM8hI17u+7bFWfecrK4WrTq1AJvDf4QnXt2FM27w1aGLUdMEMJkT8tHLPlhsHpAp/37b7sr2JKOmHHaGh9z48vn7Hkp2/UizQococOLQVVmUlw5YtiSIjRY7o9f5Y389ZvMjD9u2q5QScbysZo80pZQ2k5QmUv946ponBZXfmnDDluxnUDs91DO2TjjpvRlxJNhWLyluqOFDVtiExMsUoNxc1tLLGw4kuzg4LDVQXutL1/+TgghdcgGFz58zkafx9ARH6oq+YdO7Zv02VS1OBDAaTecgOFXjZABeMHvS2WZhEMYFwX69ZK0SvqbdrPQIRSiXUZI/eAzSY86W6mehvzkOJJS45NsNaAFUnQynNE4U9pBMlpJ6YaqnApRt4rAqtKsKtK8WDShJJRcKI2y5OUJieX+BSMRRKIhsWuTqitT8oyiQ/ycw8qmTZL8/JhshoVwcyTNfA1xtuCPPpv6uG1uIzmEKAk+948EnYRenqst3cqtAY0vWFFO2xFfQ6zdLiRqmpXjkhL6jSjrNg6SlRWIhqkB0RVv3fCnoqd1pVhLK7xIawt879rs3ArL/1Spi7999wce/uoOLPtzJT544jO06thSqsTrV+bilT+HorigFI1bZMdIdi55dFDC7xe17798MQ2n3zQAbbq02uh30cHBof7BkWQHB4etjs9f/AaPX/Kc3JeGu9IKVNjNIxaoKS1YX4TWnVpi8Ge3SVJacmoSHrv4WaxetA7BYEgs37KbZUlIBCuP4mxQffLGEFrxSWZV2QoZEa1yuSawmkyTMNNtITMjxms5yv3U/WamOShgqiSsBHG7JM3p6d56Ir+wm0r5+uWViKbT/cKaUaHUIb8c0ZSQ8gAOh+S+NOwGGAqiXTT08Qi/JsllVUuKRKxyByRCmqQ8VFSpiK9+yOibgww9MQ07yVoyot4cJZ1mSIhxWNbvCas/UuXOL1bNd2XUGKfoRjvtesGqOmUobIIlma8KI5ihUw0NUWY1no4XWq8sr6lnfUz8NEm3vHUSV13FQ5ID4HflkNP3x8h73/ccTT54/FOR4NASMKuJmhmqKKtESlqK3DbHn/u+Mx6TtEa6rNz+1rU1fq6Dg0P9QL0kyYk6J4NWh2vEmkZI2GlpTzVUz52317PcFTwfVqLQmhJKsN2k3JT400/WFKTdjZtUbBmn5/jTKNT+efepL4wztRSqtOaB7GOxXpa+qvGmkFLyKuJ20dqvBbtvxu6WtaaEgnY3bp7lKmJVmBJJLKJ2l6411WNPD4Uts/TY3PjaM72zPaKhacRLDglBJhbPtNJrLIJ83k5XIX9dAS585ByM/0jZwZ11+6kSR8xzYO2y9VgxfxVuff0qfPDEGLTrtgOev3GkkNMG2WkoylfSnIMH7iO61Clfz9AES+l9CZFasCobVd6//pQg5QfKeUKl8GlPYRLejDQt19CODp73MuUUVYimhMVWTmzpSEbNORehJCIkEgTxSy4uR4DSCy0lFhTo731eGNGMFDknoozgIxkl4S6uQLQBfwuUvCHIKctSVsChCDZ5vuy/qmbLd7uMHtABdX6ZQJHSSrV/fJwSENq5ad2wHDf3U6KoFSH3pF20xuNvl4mApnWecQkhuS8tUrvG30GS5uRkRZCDQS8eXL0XJMqVogGX31U7Lc/8q4NPOC2bmhrCqGFj/M8nAOx1eA80ad0Yn734DU6/8QRkZKVjz0O7b/Z3MjlV+XD/+ct87LpP181+fr1DDVwJEq9j/dZa41twI1P3QV50en9YUrpEftaWW0XMWKmj0auPI9KYGieIqqqlmokgUtf7g1ZFtj8WN1wYX55hSxyVzEm/lh2MZY+/1hga9noOYqUdaWv9MbGyUWpciUXSSq3LlyekxpVxxqDajI232Ja1JHCICtvyDFummMAdrK6jXpJkBweHfxYHntwXT04cjAaNM/HNGz/K7ZQ44Q4FOUVCkIm3HxqFgnWFUkk+8ryD1Q+y/nFnVXrI13fhkv+dhxOyz5OqIh/vskdHL0Vt3HsT0apjc+y0VwfMm7oYCFfpAdZM85P86hhqqeKqgUw0yyRk/Fe7M4g8g8vEPUMP2qYKLU+qkATNKB0xWDU2rhhiemxHJitrwwC1vSlMmNMDliamyr6B8dZRFTet7emCpeWIljH6OiT7FqpkxTWsNPzcPgvPlFdQKmLkFiLN4OM6Ga+oTLTMUeqUeex0wzDEVIexiNzCREHLAajUu5iob2q8K0i2dSVYN/GZ5kgVzFIpKYhes6QkFarQkWBSmtjrSRVaa4/9RL3Yi1U223nVedpOZqVLZZlOF1cP/8/f+k7yNYf+fL+8RuOWVu+Hg4ODg4YjyQ4ODv8Iuu69o/x7zh0D5RYPrTu3xC0jr8KSWcsxd8oC0R2T0KU2SEWYBE6zpfWsKgNYs3QdqvSsQSgpiGlfK0/ltKwMlJdWKoeMmBhUReiUC4YvOxAvCK05loqqXd0kSOYKi5Rmmdtgg0tUk0PTlML7xhPYvBYrweZ1GL9N4l3KSnKqENKImQ0xDcGSmqelEVQmkOBSkpGcLDILElZNJ5UumfdKlYRCyCr3RSrH1B2zUlwhkhBRnCgDZvE5FkMNXaWWGGkTlML4EvqgGlIspsz0ima1nNnXlmOGkGltv6cDQmQbxr4tKawkFzokRPi/vngIhPg+hvVnQV24+SCi6HPMHkhOS8ZPH0z0yOwZt5yEzj064Os3vsf/nfgwOnZvh0v+d67X5PnDBxPFF/nkq/sjvYGqQHK2Yd7Uheh7XC/5XrByvNfhu8d832gx6Aiyg4NDItRLkpxoat2WWMR06SYwSI/p3q0WLGJ3doYa+DnpMbCfY08V2dn2q3P85Vm+M0NUDw6yutW1mrrc32Yky592CRZaGfdWV2+VHlDUPvjHk7ren+IJFvvPrWzm70OIyV5x9rkqy5+WCnEAN/et7PhAUWl8l488VUXcYNqIUcDehqzPxg5nsaUsFhJOD9moPlVUS43N6wMO/deB8i91xz9+OBE77dkJWY0aoO3OrYU879y7C25+7Uq8dPubePOBD2Rdapabt2+KFXNXCXM88OQ+GDvyR1VRVQ5inneySG+lIU9pa73GMePUoNcjMRXtspYIeNO/XKalPTYplmqoPc3L3wCe40npvnzBeA7TzUFs0hQxj9JaTRoHdWXbOMDo1+c5It7JmpyKHzHJrThBaI00LedIfC35khBT6ppNpZbWcLqCTe9nOUb+TQIvVnZ6XXGb4HunybL2q1YVYd/KTarufIDVbKMlNtV67X2s5B+srof8Jj/uAH2S5bUoT6lQUo0osG5lHhZOX6zixsVzOYols5Zi9cI1mPDxr3I+zpo4F7vt1xU9DugmzXfP3zRS9o9OKOfdfbrojS/rfROK80uw34C98fOoyfL4Y9/fg+4H7LJ1v8DbK2ri5pNAemEHN9nr2ONkdRlFpLQ0rvQiakn+YmQYllwyRmKRb40pyU3ijinRRn74SKjIkhzIhbleboV52e5MtmtTSq4vgQhaz61saMkk6FZjtllYFtdtIyZUyxo3U4wsqzrsY7dlnJkZ8Y/XkiayB8MgbEkZg9b4G7UlMvZrJXIHq86PYqSNqFOolyTZwcGh9oNNY/1O2df7m3KNJbNXYKe9OsljP4+a5D1GCzjafj120TOIVEUw/fs/PMlAUnISKilviEYRSk0WHsiLnTY7t8bKhWtFEiESBRJjXVFVVU5NnssrpNKsoq4VmeZAIY1orNTyIs8M1iUlLE8qcswKMuUHBSWA1iDLAGbGDo4bSZlCMHmRTQ9i+iNHzbriw0yviCgiYkcXVNVjicyOiFY4kqZJLuUPeUUIZGQon2cJFvGlF4qsJ2l5hiYjlXqfRVoSRaCsxB9sxV+a1e8ylf4XUI16UjVnZdiIVuQYVKS0SEsqKjSP1xcMZqC0Ld88TbcFuThRdxf8tkhZAWaloThX9SX89OFkzxqOTX+UXezSdydcvf/tyF2dh2BSUD735u2bbTBI268Usi/IHRwcHDaBrfKLsWjRItx777345ptvsGrVKrRp0wZnn302brvtNqQkuApxcHBw2Bg4jc4giQfOfAyHnXUgrhh2AT544lORcRx/yZEYesWLiOiGl9UL13rELD0zFZVsFqQrhjFwCIWwatE6TxNr/JOj0SpFxrTThSrT6pjrsnIlywhZpFinxEkVTIil1i+buGbR6Wqtr5FDaAs5pv9F6T0sThCUZiQhwB0sLJXGN4aiSIU2xOUqelqIL7XIphfKzKqwIk6vYu57mXKQkH2j3R0ry6LnNh7Q3A/KPsqAiPZAZnMhiTaZsbG64zGT5JP4c3+8AEDd5Ke9mT1bO11dFokFLxB4XwePyCchWm9VGSbxjtrrCXnme698ohl40vuI3THunZ83IL2PfPV/6NZnR7n4YbCMHH5yEiqqKjBr/Bz0v+AwcbkYNnEw5k1ZgANO7otZE+bKbAOJtYODg8M2JcmzZ8+WqdJnn30WO+64I2bMmIELL7wQxcXFGDJkCGotEnXmJkDM1LttAVHdKcOa5rCnMKR5JZ5UgFOvZrk9XWLLBuxKjCXVCFjuDaFodvxuVmsayHbACOb79yNZGXGntJIs2UZM/ru1P0lrLNmKLWGxDcXt8BXruGJcQqz3LcJAAvNSmenxu245mMdBMMM/FokX3kzphJNYbFnwt+Hjp7+UkI5jLz5C+RnXEE9c8hzWr8rDa/e8h4/yT8A9o26S5dQlj3tnvP4e+t/F7BYNkd00Cw0aNxCyumL+Wu8xo6GVADvqbXmHH7WRXmjyF0xOUSl9rMTq6rF8J0xlmSTWauITvkhyqKUbQhzFY1gFjsjr8rxgRLadSCdPZkCISqwDp6hN6pxxpjDTlhLYoeQg0pTHIA9toyaEmKeXbIOaaO1JzBhqebPCAH8nSFppS5emLNtEqmEkKUZmwX02xFpLRugrrY5Nk9uqKvX+ScVahYLI/uptZDXKQCEdR6JR7HVYd8z7daE0Z2Y1ycROvTpjytjf5bHktBQJCeGLnHXLSfj8pW9l+83bNcPVT/8Hr939LlYtWotr+92B0244ERc+dDaGjr8fY0d+j9fvfV99D8QyT6F9tx3kRvQ8eLfN+5I6bFFEyuPLBGIkFtXG3EQyN1tWEevGYMnw1luygca+5jxgjSNGQrTBWGY5XUQsWWPKUn+b4ca+7DDJGn+DpVYwliV7st0tbDlHmEE9Zh/scVxHrVdHwB4rbYlmliXptMcra33pqfB21HLYsDhD0OIbUUvuEo0JA0kQXGKvsx2NoVuFJB999NFyM+jcuTPmzJmDp59+unaTZAcHh62Onz6chCevfFHuN2vbFPse37vGz6V7xfrPp4mVHHnar2N/w1PXvIx+p+6Dk6/pjw8eV3Zh9M9t0bYJ5v+2CPlrlCbxyPP6yTT9ghnLxM9Xdc0RuvmMsgvbxcGGvYgVZ1Z0vXARVRkVAipNaKqpTu5zGQc8vU2poJJEUr/Li0CpHkd05ZjVaJUSKDIOGcSNzZyq3vJxGYw0IRAyml+kniuLlJMFqjlPyIWx2NIpCYQQfoRjpA8mvUwiuc2gpq3yWMlWrmzaXk6eoP/RRF8s37guj8lEfofDkpDH57Tp3AK/fj4N7bq1EXJ7z8BHMWXsDP3WB1HJdEK9LyPvfQ8du7fHjr064cTLj8Feh/VA76P2wIBG58njKxeuln9pBcdEvfKSciHcV/5NxwsHBwcHG/+YQCs/Px9Nmlii+TgoLy+Xm0FBgSW4d3Bw2ObYEudoi/bNRFdKPtS8XdPNeu71L12GNwd/iIPP2F/kF5Rb0NXg9fvew38eOkdIWmpmKh768na8N2Q05v++RIgXSTUT//wmIkVuM7PTpblLFaC1K4OxJRP7tQAimkiaf4W8khB6FVd/ZkcqqtQM6/AMWZqR7jW/mBRAIZtcj5VXNuWZAzQOESS3JVb1zVSqTUyzaKGV/7Ecj7FqIznVFTghuiTHXNdY2DFBz5B7VsdpsEwdsURtKycOdSC6ciwJhfp4DRnWhWRpFJRlqoFPvRealJsLAv0eMLBj2ZyV8r6vW54r34HFs5bptGxjExcVSURFablcvyyYvhj3fHQTWnZoLhZ/w68egT0P74nO3dvh+MuOkud8/foP6rXpeLIqTxxO6jPcGOrgUAdJ8rx58zBs2LBNVpEHDx6Mu+++G9sMCSQWMVNCliQjmJYUtxNXbcrKkbemh2Ky0Qus6Q97OsmWXlhTPzHTSVYXasB2z7DlGSWx++StX5kUN2gD1tRVzFBjHUs0238taiM92NNDtoOE1b0cg2y/mzi6Zp2/Tet47Y5acRGIFxpiyTO86lc12Bn0MdM+NZTXOHeLLXuOUkP86rwnhWi1aN98s557/5mPY/q4PzDz5zl4avJDYuFFpGWm4bMXvxbiW15chvtO+x9WLljjEbAqkTAZw90oklOS0XG3tjjy3H747u2fMeOn2ZLhHIgnZzJk2NibEdT6mnWNMw4JL7XGmgQLgUxP98M0rO+RuEqw4mr8mekrrJ0f5G9+341WmoRaO04o2YbyKJa/uR0ho0raJNv1XkdXubXns5Be05jITUsFV2uxyypEUhLkb4+Rhxi9tkhM+NvAijQT/XySrTyl9f6Z17TkGt67qBv+iMPO7ofh17yMMOUfxnpEdiqCnfbsgHUrcrFmyTr07b+XkGli3Lvj8YW+yDni7H5o2rqxpOQ9MuhJr/Cfs3w95k9bhF33rb/BINtkDK1JyEgCJPw9FoQTSPXiuyrJzEw8SYY9DtqOUtY5bksdog19KUWw0JI3WNsPJZB5xLjbWM5RSWvz4o5ZSXmW/MMa9yWZ08B+j2yJhUjENHLz40oZ7WOXtEtzXLZTljXOxtyvwVgX3djnVxM3lDqAzbrsvvnmm+XHcGM36pFtLF++XKQXAwcOFF3yxnDLLbdIxdncli7dMJHLwcFh22FLnaOsDpIgP3z+kzip6SDxua0JfGmA+nfBb4vlX1Ya1y337RLpjyz6YUNWBVFcNORcvL7gSXxa9Cq69e2CJ68egRk/z/EqyEYuIZDqq246k6dHtXOEjqbWy9S6qsIbpGwiJUVuQjjZnCa2b2HdfKcJKyu0JKFmgJXKcoUio7rxz0uf4+sZX2KS6bJyIeVcl4OgCe0g4RSiwAGcF60cRMvKZHBXj+sjMc2EkkIY9a3qKqsQYdXZ1kbyeLk9bkt0pb5bBbcplXEO+tyW3HjxENuf4UVP6zdt+dzV+PQ5XtDoSxaJCA9L+t3Mn+di9aK1eOKn+3DvaDXevHTbG/jfBU/Jcxu1yEbXPl3kuWmZqejcs6M6JP0+jh89WTTv9RVuDHVw2IaV5Ouuuw6DBg3a6DrUHxusWLEChxxyCPbbbz8899xzm9x+amqq3BwcHGontuQ5Si/bsa+Mk/tfjxwnqXybwh3vXYcJH/+CngerGGJqUIde+jzWrViPMt0Q06hFQxQXlHq2b7bGeN/jeqFxy2z8Nm6mVCY94ijSX7VuUFdi5Wl0fZDKaEgtJ1EmDRTLM86gVKjqMe9rhwsbKkSkTFu4KR11NBJGIKwr0dyeNMbphjdWoyVohCTXrlz7+yQEV5NsiXm2KtUk2p40opp3uzyfj2tvZ+qeAyTARlpheURHqvRr8zHThMfnkOyb6rJdKbZirEVyotMRvTQ9/eAu++yEGT/7hZQUyivENzaARX8s9xovJ4yZgl367izrfPvWT3rDEdz06hVo0U5Vl0OhEIZPehBrl+Vg0M5XyrK3HvoIqxevw61vXIP6CDeGOjhsQ5LcvHlzudUErCCTIPfq1QsjRozYrA722obYaYfw33JHiNgm3nZYhj1FYieE2VNIMbIPa5rJcnUIRHw5R0wDkiVXSOgmYXX72tILu3M2mBN/WicGdqdtfmV8ucjyVdZy63VtP3n7O2M916YhEevYY8zLqxnTx8XGpoMShMk4bDnQpmvQvWdg/OhfcOp1J9ToOQyLeP6m11FSWIpHx90jU/KvL35aHnv2hlcx5avpuOqpC3HfaY9i3fL1SElLRs9DumPRjCUSMtF25zZ49KJn8NkLX8fKaCwyzQALv4FPN/OZIA1WYY3eWDezUcvLRjVqlmOkGbbfsvytt0cLOZFAVHjTwqrYSvs15cvsyRm4j8nJqlFQXjOiQkhMOIh2oJA999L49DHxdUmKeY6TMJOEc5912EBMJdxr9FOSDo9M62UeWbe1117qniLZcnRGyy2Odfr8Er6syDIrvlVamkX7tkbNs7BmSYX32Rq8cd8HOPnK/shu1hAX/+88PPqfp7HDTq2x+4HdvHXycwpkm606tsB9n9yKB88Zivy1BWL3Vh2FuUW46+RHxD3jrg9uQOMWlvOPw9/D35hWt6WIG/zObiC/2NApIybYwh7L7G3Zkjz7AiJGquHLEsRK0cC+0IwZp4LxJRDGY1KcNIrjj8XlCcZfmxvk5ccfB205or1v1lhs8wp7Hfv3Lrzekn/8JSnMX3MEq4vYKsyVBPnggw9G+/btRYe8du1a8UvmzcHBwcHgrNtOkZCQ7vt3w6pFa/Ds9a9i2rczEq6/+I9lyFuTj4pSeuL+GfPYxY+ci2enDsFu+3bF/WNulWUVZZVo0CgDr80fLg16n4/4Frmr1ACRlpHAs13/2EvTmmm0Y3NatYtClTinopVlfZExaC2uCdPQsgSvSqulIvI3q8YVleIKwe2TaIsrhLGgE32v2pbn50xICp96baOBDkjluVLIrbefRkqh74v8hPuakuzJRqS5Th+Pt59a3hEtLkGUzYPcz2qOH14VWxLxtCzFVJ09iYXcE7Kc2Shd/p3x/SwccU4/7LBjK1z2xPkoytOEIRpFw2ZZ4nzB979Jy2yRUxAHDOiDD9aNwLDxD8iFFTH+k19wavMLcEqzf+P7d39G7yN74v5Pb0X//xyGm0detcFHOuWr30XL/sfPczDxk18Tfr8cHBwctnrj3tixY6VZj7e2bdvGPFb9x9bBwcGBeOqaEVJV/viZLzC64LW4s0/0122zY0t02LUdjjjvIG85fZJpA5apG0tXzPMvyLnu2Ne+x9P/fVn+vvP969HjwF3EUuzF297ApE+nyPL0hukoK9bhHobsmY3ILIUihZzuME1vJLT0QQ+y6mpXmjRhDNgEldphVo7syFySW67EEBLzmtp/WdL6JH5aV5ZJSD2bNjbvaUmDyBt05VtXj1VYR1hVs+mhLAQ85DfuGQcMridJerpZTxN0km6pRLMizIY+T5aiquf6yZLsp15XO1noiwIpv0TURUKHXdtKoMusifPkaT99OBFPTXkY4z/6BSUFuoIXDKAgpxAF6wpx46tXiiwmNT2xbGDqV7979yeOmYp+A/dD195d5BYPex7WHbvuu7NUkvv03zPhdh0cHBy2OkmmbnlT2uU6i5o6ItgOD7Z8wnZ7SDSNHzPNUS2+dROIWsbgMYO21eUaI/Owp41ipqusYyuypofsixx7P20XjpgpXGsaqFrgSrzt2PKJRJKHRG4jTM6Nt/5fmh7aTqeOajM69+ggJJkBEBvEFmsMu/xFIVMZWRnIbKicXMpLy3FRz+uxasFq3Pn+DdjvxL3x5SvKCYHodcTuKCsul1OJbhg/fTQZeavz0G/gvlLVnDRmqqxXWlCqpBD6Yp7kVJ3HJH66kqu1w5JAZyfqWVOb8q9XDaYESmt+OTUsjXBlQopVsTgglmyUKYhGmNulh7HZhngNKxLqeSirPVIHZxoBWe0VWz29L7q6K2SYrymezMlAqibhllzDqwBbFyVeBLdprrOrxKZSLVPL2pKO+1atYc+u/nvMOhqViv55Xa7AlU/+x7fbM/uDKB4+bzj++8xF6H/hYQm/K2ffcSrmTJ6HysoqnH//mdgUGjbJwhM/3b/J9Rz+WYgrTEJ3hPihFTGr2BI726HCXsmyxPNi1zcmUbCkDsY7XGCP6faFrj0m2hIuWwZpyzwSyCbt/bFlmYkQE5Jlu1JYEs0YZ6qw5RZlH4uFiMVPauLqFIhZB9slXJC9g4NDrcB595yOw84+EC07tkhIkhka8ulzY3HgKft4y+iPayrHv/8wCx12a4uZP82RvzmF362PiiIeMWeorHdr/wfk7yv63iKpbYYMUiPL2m+YEdFe1VRLI4QCMhxEB4+woY++wnIxpauy/J/WJXPwD3gOFiFfe6wt3bzQkdRU9TwjzfBcILQumOt4A7K2c/OSArUm2IrOlsWsOJdXIJiWph7zdM1ViBYq4h9NS/MlIGafDDFnZZr7p5vxhMCbYwsEsPdRu2PyF78rX2UJN6nwGwppC90wDcW5xdX03oZM+IP2sj9XoGP3tlg4fYk81KpTC4kT56uN/+RXtN91B+y2X9e43wVHeh0cHP4J1N1uOgcHh+0KJEPtuu6AFMYtJ8DVT1+EMWVv4l+3nuwta92pJXbbv6sQRQaJjB7+hVSbiRteusxbjw1eI25/0/ubTV7Dr3oJGQ3TpaGssrxKmspadWwOhKsQTPIt4YydnKroanIZVs1wnB1isx9lD+rmJ8cR8lxdgZbHtOxBqsbahUKeV16BSEmpaooz1V4+h8vLKsSeTWzfjE2dVdmmtMLTKevGP6n+6P0WGYSRWvAxvp4JRzH7qomySvTT7hnmZjlgTPlqhrxn1gFKU6J5ny5/bBC67NnR+9urZlnvSXbzhnJB1LpTCyHOex/VE6/NHYbrXrwEmdkZmPDxZPz3wP/D2FeV+4mDg4PDtkD9rCT/nY7MmgSObHS635r+MBUrXq2kJnClsKZLIta0Uczr2R2sMUEkCZbbcgi7o9Y2M7enbKypmZjpFVs6Yk/f2ObttmuHvzR2ysl6rxJlxNvvZ7TKX67S07wnx7/vUOcw8dNf8csXv+GUa48TcmsjyQ7AqTalP2nMFFz08DkSLNJ59w6iOyaWzV2JqV9Nx9wpC+Xv9AZp4q1M/Pv+M9F9v53x6EXPYcH0JejZrxsat2iAAVf2x6fPfInfvleWZZ7Dg5EpWGEbjIiTb25AuTvIcp5/JMN8gM15tH4Tgm05Zsh6vh+zfM8pYzDVY62F9vybKe8gIeZjlGmI9lhbvhkdtJaCkGzT41i69W2PZO6TCTzxD8g7tuqVW3VcKn2P69GHuEuPtpjz60JUlKiK+a0jr8LXb/4g0pbDzzoQ+w/YG6e2uEAaLPVW5f877NxGUvEuf+J8DD7rCSyfuwo9+u2K+z+5RR7vc/QeGHL+cO+1C9dbgUsO2wf+QvhIIreihDKAhGOWNXZY0ouIHexlOylZ4VwxTlP2RbC9PLuhf9+SQ8SMuXbwmO1Jbssd7WNJMKbHODvZMgnr99GWs9hOIDEyFxsxn0F8WWOMfLQeOD/VT5Ls4OBQa1GUX4w7TnoYkaoI1q/Kxf+9c90mn0N965cvf4vTbxqAPQ7pLo1/Bnlr83HxHtdbhE2l/tFFg17Nwy57Hjvu1UkS/PJzCjGwxQWyDn2Rz7jpJPz2/YPyd/N2TbB+ZZ5YlfmEmXIGkl5VeWVFlVVlYx9nvIRjdLc6/U6qvTpsxEgzRDZBizlTBWa1V54U9dfRf8dAN8zZryNEmLaOWjrhyTOs5yh5iPJ+9rYR1D0Gxuu4uj65okKcIoxWm1HSU76ejs7dO2DGD7PFjaLZDk3x1C8PYfp3M/HynW+hYF2RbH/5n4ymjuK5G15DRpaqRrMq/cmzY9H9gG7o1L09rhh2gTT37XXE7jjxiqP/wjfIwcHBYcvAkWQHB4daBdrAkSATO+7lhxNtDCRYv3wxDYtnLsOeh/bwlofDYdx72qMxBHmHnVqhRQcVSEGZBTXIS2evwPJ5q9CmS0u02bGVaJdn/DALzZ+8APsP6IOfR0/GmiU5MUSzedumqKqKIG9tgbftzEaZKM0rkgKRFFxYea00vseqsU6kCZpIq391Mxwrw8ZT2Uqo86rJWhustoFqZJdSEPWnkHT9VLuRT0izlohwJod9tL5tmx/4odYPIxjg8KD1yrqCbBr8TBWdMz+UqXw+4juvqkS5Ct1D5k1bhH2P76UIstkjdcUgFf7TbzxRLNnGvTceQy97Xkjz++tewomXHy03BwcHh22N+kmSt8JUfIxMoBpsSUCMVMCaBoqZ/rD3z5rmCNquFLbbgy2TsLdjd/va0ghrOimY7msLI/kF8d0t7P2xX8vuGrZdJuzgEnuazNqHRCbnMVM5Cd7ThF23TmKxfUB/7FlNGuC0G2oWMvLOwx+JfpW3/U/qIwSWWLNkna56KkIcEY/hKA48eR8cNHA/fPzsF5gwegrKSysx9PIX8PCX/4dT/nschl3+gjznvf99LAQ5dt8UUT7kzP3xziOjtSsEq75RFK7L885FMuAAACIvSURBVIq8mg7HVn89iYauLkv115IzEJbmWJFbZcXmhwNSMxz0G+pkXeqR9et6O2CIbETFS3sBItrzWezf1LnrJQga2QZfU79gkA2NVZSDGE/l2POSr0H5Cr2N+X637boDbj/hIVlt1oQ/kZKejIrSSrTs0AzN2zXDgCuOkvee6HtsL/EwJqgn//T5r9CoeTYOGrhvjb8uDnUMiX6nN3C3SDAWJBgfYyR59vhoSwFjZAPWNu117HHTlh1acgjGwcd1lshZb23H2gdrnI2RIFpjqLF3rL4/tktGojEx4ThYkzExwToJ3/N6hvpJkh0cHGotGDLR8+DdxNmA0cM1AVP1Pn76C7Tbpa3EUhtQz3zyNcdi9sS5mD9tEcpLK7Bi/moMv/olCRghJo35TchzakaKEL7iPF+n/+cv8737SSlJ2O/4XmjUvKFonNPSUyTRr7yEg6QeUELU+/qDitWCEBMmYkc6x+iTzXO8UnRsA6AX+KEJbHpaCJFIFGWFyt/ZNPupfdHyDE3I9YshSIs5LeUQ8h00ZFu/uNFHG6IuAzC3rTYRTAoiFAoiq3EW1q/MlfVPv+EEnHnLSQhXhXH1AXd4VeOJY6YhLTMFyWlBNG7VCA+P/T8kp/jDTu7qPPzrtpPQ68ieWDRzKZ684kX1GqHr8Ofk+XLBY9xJHBwcHP5pOJLs4OBQq5CemYbDz+63Wc858OS+GJX3ClLSU2KINUnipY8qz/Yls5fjmeteweTPpmK/E/bGuhXrMX70ZBx9/kEY8/zXmDD6F7xy97v45OkvPXK6eNYKz7rswiHn4OSrj8XD5z+JKWOny+2pXx9CcX4pCnIK8OZDH2H+tCXyPMVJLbs2z56NNmpaY2xS9QwB5kyLcc9Q7NWjyIpU60qTEFc6R0RQkmcqUSpsxETLGxJsAkeE5JJ0277omsibIlFSchBhbldIdkBCSdgEJKRapBZadkHzjcqIIsgA9ji0B864aYCEvwRTgjHSFq5fVlQuxzR74jzxsi4uKEGH3doJCb7x8LuRlpmGF2Y+5vkv04qPMwOzJ83DZy99g/dWK+Ls4ODg8E/DkeSt5ZJhTwNZEouY5YnkBLZjg4VImeVuEeMmEX86JpieFl8aYYV6JOqQjT0Ua31r+inYQKWbEWFLqsFpbW/9wsK40o6YABF7umozu2WDCTp5Heof0htY3y8Af4yfg0mfTcWxFx0h8guGlDzw6a14Z8hocc944F+P4/fvZ8U8Z96UBchfV+h5DxuNwvBJD6LZDk0w7t2fkZaR6j12/aF34+Sr+uP1Bz6UZf7PgEmfC0il14QSRKmJMOEghGmy88Oh/eWmAmzdFFlWtmpBbts8pmOim7VtgpwVjN1mSl7QryiHQuJ24VWvTbqelmOkNUjFTnt1woyf/pSGRZE5V/tNMzIRVs8Z9y3bCQYk9KOivBL3HDdYGh+vfe4i3Hv6Y1i3LMd6MkQH/t5jH8sFyc69u+CIcw+S96aksBSrF68V6cVzvw1BWoM0vDtktJDkdl3b/P0vhkPdwF8Jd0rkNmVLHGOkF5FNOkLY43XMfXtstUNJbCQYv2IcLWwXi0QcQvoB4mwngYzEvh+zTgKp5991G6lPcCTZwcFhuwMJ3Q2H3S1kbsH0xbhn1E2ynHKAF24eKQNe8/aqeY/Y+5g90KpDCxx0xv6Y9s1MhJJDGHT3QLz/2Bgcf8kR2LlXF/x7l6uxdM4K/0WCQZQWlWPk/R/In6zaZjfNRH5OsQraiEaEBLbdqTWWzVvtuVQoAs0QDg5C2umCmlxKN8pVoIcJHDESCuqCJeBOtMUmVMSXVoitG4B1S3O0tELbzFWLkZZqczLlFmqPm7TOxqPf3oXKiipc0edmb18oP/F8mrVdnJKJRNBt786Y/v0sZDVugMrKMIZe/qI4fvzy5W/y3D/G/4kTLj0KL932hv2JoGh9EVYvWit/8d9jLjgUeavzxTOZ0hqiU48O8i8dLo67+Ei0dSTZwcFhG8KRZAcHh+0OU7+hvVulpyU2YCz1wafvLxZjg+4+XRrNaGF26rXHy2Ns3isvUbMl+56wN0666liUlZRj5L3vYe1SqzJKmAqu5XjR85Ae+HHUZF11Uo9RB63IpqlMB8UruKrCVIgV0W3apjEGXnc8nr7uVVSUVGp9syatVX5anadd1s12MptSPZWOsogqWtWR4Kr1u/XpgozMVPz+4yxUVqplbLgbesWL0jxnmvk8kq634+mgNXLX5GPvY/aU4/r9h9nyLy8G9ji0OwrWFWK/AXtj5fw16DdwH3z/7gR5TnJaMi4acg72PnpPfPHSt9jn+F5ITU/FoHvPiPv5UbpBn2sHBweHbQlHkrfl9FD1bt5NdaraDhIJnDHs5WErKCRmesjefgJXipiu20gw/rSObaJuyz8s54oY9wxryilGUhJzXAnehxp0MTs4GJCEGhx38RExj936+tUJn3fAyX3x9evfS+XYOGSMHv45Xrnz7Zj1+HXMaJCGA07ZBz9+OBGNWmRj94N2w5k3n4TCnEJM/XamCgUBsHbJWhx3yVHofkBXPHj2MFlWVRGOkVXwf2uX5+CJy17c0AO5OsR5QlV7eSfCFD8dPpKUGkKlNBISQWUfF42iaetGmD1eRXWLzEIcM6LIWZaDZX+u9JoBk5KULtkqP8v/jewjOSUZS+eskpuCWjEYCKDPMXtJlfuj4V/gg8fHiP/xA5/dipL8MiyetVQ0yIwTP+fOgagJVi1ag2nfzsSBJ/dBZrYv7XKo50goUUggcbRgHGAUEgSRWGOlLckIpll0qQZjkC3PCNnSRGtctpdHKyrjyhoTBakkdHyyXjfh+OikFDWGI8kODg7bHXoetBv+993dQu54v6bY67Ae+CjvVfFXvq3/A6KL7X1Uzw0IOL2ViwtK0XG3drj+RT/6+p6Bj0oV2/YTzmyYjksfPRcpaSn46rXv8cvY6bpCyyqvSf8rRWVplR8DLVZsYakmC0zMtA78ICQgRO5EvYbA9OwGqCoPK1JLaUZQyTXWr8pDKCWEMMm5Z/kWlSq57aDRokNznHotLfBe0hVrzzhOXoe2fNyW+Ts1PRm7H7wbvnhlHH77bqYso+UbwUr+Ln13FonKfWc8Kstad26JM24+qUafxbUH3SHV+4ljfsWd715f48/QwcHBYUshfinTwcHBoY7h9x9m4e5Th3i+xrv323WzCLINJuv9OnY6ivNLMO6d8bKs77F7iXtG9wN3FWsybr/9Ljvg8xHfSnIfMeMnFWFNGInCCZcfLQSZWDJnhW7oC0qD3H0f34S9juyhqrvebIxytiDhVLJi3bAnf6hgEN7NapIp4SW7aD0vHyuwY5yFbCvPZd4iVcCwiQ+gxwFdRVssEhBdaSYoN2F1mh7RlFR37dNFh4moyvLA60/AGTcPwD7H7oWzbjsJnXq0w6FnHYgFvy1CUa7/uiT9Vw6/AI+NuxsNGmVKeAubHmn9ttv+3Wr8GZj4cVavHRwcHLYFXCV5W2Jzpzys9RM5OSSc+km4vGKTefcx7hMJJCIxcotEjhyJQkPsbtxEU0tueshhE3jqmhGYN3WhkGVavP0dkNTR93fimClY8NtiWZacylCMCvz27Qy8Ov9JIYCnt75Qmt5WzFuJf9//L1zzzIV4+tpXsO/xvdGn/55YOmu5ENdrDrwdl/zvPJx+w4l444EPkLMiF+FIGG89OAqzJv7pJ+MJC7bcZLSNG4mq53+hi81FucVC2gd/eit+/mgyPhw6BnOnLEBUk+nDzjpAdL3fvzsec35ZgAZNMqWZsazI/u3Q0dPhMNKy0sSijeC+zZmkPKLTMlOlYn7Euf1w0e6qotukdSP0v/BwvP3gKDmWpKQk3P3B9SjKK5JY8Bbtm3uv0LBJFl5bMFzeJ9r72Rj72ji8dvc70qQ34dMpyF9XgPtG3ywV58d+uBczf5ot+mcHh82RMiaSH8Ssk8ABoyYShURSwESOE7bEImZstWQVNZKIxOwDNitsZXMlKzVaXg/gSLKDg8N2ARJTkuR9juv1t7dF0krSy9ucX+ZLeAYHPVqVdd17RwkpKS0qk6ZAkj96/RLd9++Gw/51AHbpuxN6H9ETu+6zM07MPlcee+/Rj3H7W9eKWwYbARf9sQyzJ8xBuJIENV1CSYyDhKnuRukyoeUVbDBkNHQkHBW5B0HS/srd7+C8u05Di/bNcP2hdykdciCAn0f/gq9f/xFtd26N61+6FEPOZ3iKH0RiQF9iulMwRKVh0wYoyFFV4YysNJQUlqGsqFSa/njMTVo1ErnF16//gPKScuywU2upFJ9x00nY78S9N1oVNpVhG28/NAorF6yRCwdW7YkfP5wkDYxNWzdGv1Nd8p6Dg8O2gyPJDg4O2wXOves0nHbjicrH+G+C8gQSWZJuVoBZ2SSemvyQt05GVjqenTYEy/5cgb2O2F2WvXzHW/j46S/Fw/jd1S+Kf3DXPjti0Ywl4qpBFOUVI2f5enTarR0OPm0/fPD4Jxhw5TFY+udKvHLnO5ZGWBPlSEQIasce7THh41+8UrKpPn/4+BiMfWUcRsx+HJc+NgjzpizEj6MmorRQVamWzVmBkfe8ix12bIXl89hwFxAv8y57dMAR5xyEqV9Nx3huFxA5BKvndNMgQTZo3LKR+FCPmDNU1n3w7KGyPGfFejz968Nou3PNrdpm/DgLtx03GO13aYsBV/XHG/e9jxMuPwozf5ojleSDTnPE2MHBoXbAkeS6hERTJzWZQrKmcuzpnpj7dmiILedIMJ0U00Ub01Eb/7k1yYJPJL1wLhYONcGWIMjEqoVr8OpdJKyQCu3lT/w77nokz4ZAz/x5Nj55dqzcz26RLe4MV+5zq3ahgNjNPX7Jc1J9/vT5r2TZWbefKhXUyvIqcXH48InPUJBTiIbNssROTSGKVYvXYtWitUhKTZKqNm3XmrVrjnXL1gthpvSCIR0kv7MmzfUIsgGb6NavykdyWoq8Fkn8I2PvECnFnofuhpOu7i9keu+j90C3vjtjxO1vqWNv1xSXPHoeJnzyq2yfwSF7Hb67eBvnry1AWXE5Xr7jbQlqOe6SI9CkVeOY12XK4RcjvsUhZ+yPHffsJMvGj/4FJQWlEhV+/YuX4o0lz2yRz8yhniOBA1IiJJT5JXLMqIkMI/LXnTds1GTsSzTW14QnbKnQlvoAR5IdHBwcLNDx4fX73xPpAaupffrvVaPnffjEGO9CkE11g88e6hFk4s3BHyBvTYE0yNEHmAXjd4d8JAR2xO1vCtFl+hwJ5cKZSz3ZA9PwREfMFLzKCKoYOKLrzVcMPR9PXfOy/N2j3y64tt8dcr9lh2bSGLhSa4zZiEgyTYJ8wqVH4pAz90dmdgZuOeZ+/PLFNHTs3g73fXwLBnW9GlWUf2SmYq/De0gV/e2HP8KXr4yT274n9JKq8n+fvRh3nfyIbPvHDyZKSMuyuSs3sNd76Nxh+POX+ZJUOHLBU7LsuEuPxILfl8hrsprs4ODgUFvh3C0cHBzqBSiheOeRj/DiLa9r67P4+HnUJHwx4jshqde/dBn2PmqPhOtO/mKaJMt9+cp3UknmTEtqRgqW/LHcq8xSSkA7ujZdWslzSChpk0YCTYJMskov5yrtyTrp86lY9PsS0SCzglNWWCaEXR2DoccBrFmSgzmT5+PTkpH4uPBVSa0z/tCNWjaq5kccRdfenWV7nz4/VqQXfD9m/KjcOBbNWIrfxs0UbbJeHXe8ex1ad2qB3Q/cRV6yw65txQKOGHr5896Wuf8E160Oun/Iv93Uv2q9lhj82W24+JFzY0JKHBwcHGobXCW5tmMzp05qks8eO31jSTJq8FqxZuybRqJM+UT7VpMO4vo89ePw1zH9+z/w/E0j5X7zds1wwmVHxV1vl313RqPmDYUYmrhkGysXrhZnCzau3dr/fit4Q+HFPx7HI4OGY82Stbjw4XPQqXt7WX7Fkxfgsl4qHnuf43tj6te/IzU9BY/9eC9atG0mgSQk3JRjFOeVoNdhPTD129/FVeOpyQ/igbOH4o+f//R9lPVxhEIhuZH0tu26AxbPXCrWdyTpBg9/dYdoledMnidVbJ6X9GwuY/BIICjNdwedtp88Z+6UhfjPg2eJrIPIzE6X11uzZA3y1xVKQx3flx/en4jOPdrj/jG3Ind1Prrs0XGD94oXGQOvO8Ejyw4OWw01cXWwpYn22GSPmwnCrWqCWDliDZwlEuxbjeQiCSSUTpq4ZeFIsoODQ70AK7msepYVl6Fzz8SRx6x0vr1SVUpFFqFBL+Shl72AL17+FpmNMqSJjySXrhREw6ZZ6HnwbmjRrhmGfHPXBtvdac/OeHvFc8Jv16/MxXdv/STLP3/hG2k6fOm2N0WOQfzfu9di/wF9pNJMskqf5VteuxI3HH6v6KUJBnn0v/BQb/tsqGMk9L9uOQn9TttXdMmV5ZVov2s77HloD+x+0K5o27UN2uzYCo2aZ0uUtCBAV46uOL3NxbhkyLni6GHjq5HfC0nm9kY/9TnOv/dM3P72teL0wYZCVoOb7aDSCSd8+iveevBDHP3vQ3H0+YcKebfjpXnh8OMHk8RnumUH3yZuc8HwFcpCshqryraDg4PD1oAjyQ4ODvUCjJlmkxglBSS0G4NNjomFM5bg+kPukqY6gpVeEtBX5g7D6OFfyLI3Bn+AH96fgOnj/hCyHA+msY32aqyuspmv15Eq0a915xbIW5MvRL5v/72EYKZn+hUiEtKX5zwhvsKv3/e+VLLn/boAX7z0Lbru3QV3DnjYW5de0Vc/fREuekTZzy38fTE+e/EbHPqvA9BB64C79d2RDsyiox772g8i/xjz4tc4+t+HeE13nz47Fr2P3lPs5CJVYSHu5v3hxYSN0uIy2Qduh04VrExX90W+65QhmMt9fuVbPDt1CP4K1i7LwYU9rhXJzKPf3Y1d992w2u/g4OCwJeBIcm1BIjnBlpIWbG5nayJHi5pIIDazy/hvdd06OGwGaNv2V8CqryHIBElph13byf3z7zsTU7/5Xbx+CXu9RKCd2uk3DsDzN4/Ed2/9iIcHPYnsZlm4/9NbhGCnpsd36WBV+fSbBohPcuOW2eKmMfnzaaIVprOFaRSktzO116waH3PBYXh40HCxs/vpo0m4Z9RNePq/L4t/soqeBiJV1CIHcOApfb3XeuziZzHjh1myX68vekreO5McGA+sKNNzuSIcQdM2jaXKXh1GW82Akb+KFfNWeZ7K86YuciTZ4S+NFzVyq9B+5Ft0H2oS2JFoOzWRJjpsUTiS7ODg4LAJHH5OP3z+0jcSpEGEkmPFikyZu+3Na8Q94oCTfaKZCJUVlZKQl7c6H58895VUt0n+SI4TEWQDVmePPO8g3HTkvSjMVUle1C0zJZCVaRJUaobfemiUPEY7OeqFSZK79OyI9x/7BL99N1NuRJeeHTB/+mKRb/Q7ZR/vdXbco6OQZCYGntXhUgybMDhGOhHPfu+FGY9h5vg56HfqPhtU44k7379BmgUp7/iroIvHBQ/8C4Xri3DkoIP/8nYcHBwcNgVHkh0cHBw2gXZdd8DLc4fhpVveQN7afFww+KwNqqgmLGRTyF2dh4t6Xo+i3CLR5R5xTj9M/XaGNMSxabAmmPDJFKxdmuP9TY0ziTBJMvelx4G7YtSwz+QxkuUnfrwPZ9w0AK27tMSkMVNFFsJqNCUjoeQkvDrvSSG5tHdbNHMpRj/1BZq1bSLuHKxUUxu98PclGyXJ1X2jExH8jbmF1AQk32fcfNLf2oaDg4NDTeBIcm1BbZMT1MTRYnONx51DhUMdBgne5UPjh4psDpbMWi7aY+KU/x6Hk67qj/M2cxv0OX53yGgh3MFQQEVVV6oTNWdlrngcs1GP+mhauJFYMhWP8opd990Zowtew6yJc/Htmz+i/4WHx+iLn7j0Oc8ajmBiICO2+w30q8wODg4b4m/JC92YWCvhSLKDg4PDP4juB3bDWbefIol68eQCJLLTvp0hRHrsq+NwwEl9hchyOWObs5s1RLM2TTBy4XBM/WYG2nVtI+syGITY45DdxKKOtm85K3KlYdHgyStflCrxMRccimufvxS77uNXrulWQa/mnXt3EZJMn2bKRw4/ux8GXHFMwuPhcxhaQhLufI8dHBy2JziS7ODg4PAPgq4Vg+45I+Hj9C9mI5/Br2On4+gLDsXT176MUUM/wxHnHoQbX75CmujogvHCLa9j8udTkZSsfs7bd2vrvQ7t6GzQm1n9O2MD945L97pBbOH+9+3dGHDlMWJzl7sq33PDSITbjh2MKV9Nx4lXHI0rhl7wF94RBwcHh9oJR5Id/jm46SQHh03CTgOkYwUbASmXmPaNIrasMhsU5RXjbd2gt9+JvXHMBYej15G7J9z2tS9cik+e/VIcL2xQ00yNsrFY68GUPTb9Nd60C8WC6Ys9pwkHB4e/iJrIEd0Y+o/DkWQHBweHWoT+Fx6GzIbpaLpDE3Q/oJtUhIn/PncJPn76Cxw1SPkYE/RUZmX5ly9/w3GXHLXJprju+3eTW3XsdfjuuO6FS1FeWoGDTtt3s/b3rg9uwPfvjsexFx+xgQzj2zd/kjQ/Z9Pm4OBQFxGIGqPMWoiCggJkZ2fjYJyIpEDytt4dB4dtgqpoJb7DR8jPz0fDhg1RG8/R2rhvDtsWdNWgVzOr4fRZNql82xtq8zngxtA6BNfYXivHUFdJdnBwcHDY4qClHMGAEdrMOTg4bASOGNdKuF8uBwcHh3qKr0Z+j6Wzl+O0G09EZsOMLbptNvK17doGrTo2R+MW2Vt02w4ODg7/BBxJdnBwcKiHWD5vJR46d5jcDyWFcO5dp23R7dMOrveRPbfoNh0cHBz+SSQIC3dwcHBw2J5Bv2VGVhMddt24zZuDg4NDfYSrJDs4ODjUQzBw5NW5w1CYW4xWHVts691xcHBwqH+V5PLycuyxxx4y9TZt2rSt/XIODg4ODjVEZnamI8gODg4O24ok33jjjWjTps3WfhkHBweH7QKFuUV468EPMf37P7b1rjg4ODjUa2xVucVnn32GL7/8Eu+//77cd3BwcHDYOF685Q18+txYJKUk4YN1LyG9Qfq23iUHBweHeomtRpJXr16NCy+8EKNGjUJGRkaNpRm8GdD4mahCJVBrI08cHLYu5PtPG81akPuT6BxlaIHDlkFm83Qxv2/YJBMlZSWojKjP36F2wnz3a/P56cZQh/qMqr8zhka3AiKRSPToo4+O3nvvvfL3woULuWfRqVOnbvR5d955p6znbu7mbhve5s+fH93WcOeou7lb/Js7P93N3bDdnaObFUt9880346GHHtroOrNmzRKJxTvvvINx48YhFAph0aJF6NSpE6ZOnSpNfDW9Cs7Ly0OHDh2wZMkSidasq1WGdu3aYenSpbUusrQmcPu/7cFqUPv27ZGbm4tGjRpt033Z3s7Ruv79qOv7vz0cgzs/ty7q+vfD7X/dPkc3S25x3XXXYdCgQRtdp3Pnzvjmm28wfvx4pKaqWFKD3r1746yzzsIrr7wS97lcv/pzCJ7cdfXDMeD+1+VjcPu/7REMbntb8+31HK3r34+6vv/bwzG483Proq5/P9z+181zdLNIcvPmzeW2KQwdOhT33Xef9/eKFStw1FFH4e2330bfvn03eycdHBwcHBwcHBwc6nzjHsvaNho0aCD/dunSBW3bumQnBwcHBwcHBweH2o1tPz+0EXDa6M4774w7fVRXUNePwe3/tkdtPobavG81gdv/bY+6fgy1ef9r877Vl2Nw+1+3j2GzGvccHBwcHBwcHBwc6gNqdSXZwcHBwcHBwcHBYVvAkWQHBwcHBwcHBweHanAk2cHBwcHBwcHBwaEaHEl2cHBwcHBwcHBwqAZHkh0cHBwcHBwcHBzqOklm5CajrQOBAKZNm4a6AkZzX3DBBRLPnZ6eLp7RtCSpqKhAbcXw4cPRsWNHpKWlSQjMpEmTUFcwePBg7L333sjKykKLFi0wYMAAzJkzB3UVDz74oHznr7nmGtR21MVztC6en4Q7R2sP6so5WhfPz7p6jrrzs+6fn3WOJN94441o06YN6hpmz56NSCSCZ599FjNnzsRjjz2GZ555BrfeeitqI5iOeO2118qP0JQpU9CzZ09JTVyzZg3qAsaNG4fLL78cEyZMwNixY1FZWYkjjzwSxcXFqGuYPHmyfG9233131AXUxXO0rp2fhDtHaw/q0jlaF8/PuniOuvNzOzk/o3UIY8aMiXbr1i06c+ZMejtHp06dGq3LePjhh6OdOnWK1kb06dMnevnll3t/h8PhaJs2baKDBw+O1kWsWbNGvjPjxo2L1iUUFhZGd9ppp+jYsWOjBx10UPTqq6+O1mZsT+dobT4/CXeO1g7UpXN0ezo/a/s56s7P7eP8rDOV5NWrV+PCCy/Ea6+9hoyMDGwPyM/PR5MmTVDbwOmrX3/9FYcffri3LBgMyt/jx49HXX2vidr4fm8MvJI/9thjYz6L2ort7Rytrecn4c7R2oO6co5ub+dnbT5H3fm5/ZyfSagDYCjgoEGDcMkll6B3796iTarrmDdvHoYNG4YhQ4agtmHdunUIh8No2bJlzHL+zSmvugZO0VGHtP/++6N79+6oK3jrrbdkmo5TRbUd29s5WpvPT8Kdo7UDdeUc3d7Oz9p+jrrzc/s5P7dpJfnmm28WIfXGbvxC8UQoLCzELbfcgtqGmh6DjeXLl+Poo4/GwIED5creYetfSc6YMUNOmLqCpUuX4uqrr8brr78uTR/bCnX9HHXnZ92AO0fr5/lJuHO09uPyenx+Bqi5wDbC2rVrkZOTs9F1OnfujNNOOw0ff/yxnCwGvEoLhUI466yz8Morr6C2H0NKSorcX7FiBQ4++GDss88+ePnll2UKpjZOFXE67r333pOOVoPzzjsPeXl5+Oijj1BXcMUVV8j+fv/999IVXVcwatQonHTSSfIdt7/zPAf4nWGHuv3Y1kJdP0e3x/OTcOfotkdtOEfr+vm5vZ6j7vzcfs7PbUqSa4olS5agoKDA+5snCbtE+QWkrUrbtm1RF8Cr30MOOQS9evXCyJEj/xGS81fB97VPnz5SgTDTLe3bt5cThlf+tR38Wl955ZX48MMP8d1332GnnXZCXQKrPosXL45Zdv7556Nbt2646aabat2U1/Zwjtal85Nw5+i2RV06R7eH87OunaPu/Nw+zs86oUnmF8tGgwYN5F/6JNalk5tXvx06dBANFa+eDVq1aoXaBlrX8KqX+jWe6I8//rhYv/BLVlemh9544w25AqbP46pVq2R5dna2eGzWdnCfq5/EmZmZaNq0aa0afLeXc7SunZ+EO0e3LerSOVrXz8+6eI6683P7OD/rBEneHkCfQTYa8Fb9R6k2FvNPP/10+RG644475OSg+fznn3++QSNCbcXTTz8t//JH1caIESOkgcXBoS6fn4Q7Rx3qE+raOerOz+0DdUJu4eDg4ODg4ODg4PBPovYp3h0cHBwcHBwcHBy2MRxJdnBwcHBwcHBwcKgGR5IdHBwcHBwcHBwcqsGRZAcHBwcHBwcHB4dqcCTZwcHBwcHBwcHBoRocSXZwcHBwcHBwcHCoBkeSHRwcHBwcHBwcHKrBkWQHBwcHBwcHBweHanAk2cHBwcHBwcHBwaEaHEl2cHBwcHBwcHBwqAZHkh0cHBwcHBwcHBwQi/8HFb0SBsl7rnoAAAAASUVORK5CYII=", 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MSPCNVUnfun0juxOO2WXuYW4zOauEhlmYAcjjXhqzrO1SX6tKTmQfmaOsuFdczmYUYWwfvJcxAxklWDSxQN9liCVDBsYYwy4ckG+9LMjDaNwxCeVCMd5wmzgd7RBEYuxugueK8YwBadqUryEL3Aus3UfGvgxvayxnCuZAqaR9lIPLX9rRleekDZ4BfAMmhBBCYoANMCGEEBIDlKBdNFEuDwfqB6Wie1MOj1hzvmedn+jvlWVA7sLsZfSgDQsgU6FxR0+3HOvqZbKv7SOyPMo6mCWJ0hp6y3aLLKdAInbJb2jc4WXAa7oEWaWVijWT1LhWeO6A4V+NxgkuaboNsiRJA02YaZjZuI6uIMCVYe+UlNEsBu9vh8+zaS4D20QzDYwr7GrC+96ftu8LRg4oHKXQeByD/fIHPCcMw42xcVkenhlqatqeTW2M0gAJGkc2YJcUPsNqs5eEdGerLwz4BkwIIYQstAZ4w4YN6sQTT1Td3d1q2bJl6pxzzlGbNm2az10SQgghbcG8StAPPfSQuvjii6NGuFqtqo9//OPq7W9/u3r22WdVZydk37YiTUiShuzckLlnyFq4jsPTGLMM/cEuuyQLkq/nyo7s63VI5yID+RMgJ/WCzISnYHjFQhYjyky4DMpghrQEy6DsDJKW5/KaroIRgsP7GqU7w2sar4/D63em77gpD1pK2C2Jy+zGKG8J352rzKeXsGf4eljKD7pPjHKbCJrCBDW7XIzZxGh80wHPkewSWWT3hMxPYxw2PNIxXvOT9ucExiIa8KAEb1wXlMV9+2gMnO8gRO/slDe717bLXGeutFDczmsDfN999xl/33777dGb8OOPP67+8A//cD53TQghhLQ0BzQJa3z8dx38AwMD1n8vlUrRZw8TE/ArjxASO4xRQtqwAQ6CQF1++eXqlFNOUUcffbSzz/i6665TceH0Em4i87IRo6wZmF0Ya6AhRo/dyMIY6I7yEspAS/rt8hUaaEDZMDQDCLohW7EE8ljCPrjf2E4KsjuN80pY5S2UqQ0JHTNJQdJDecvwpQVpDA1AjGuLy4ABiGHA4MqcnUF2RknTaeawgDlQMTrXLgDDpAH8mZ1e0Ph9O7ZjyKhoSoGyMxrT4HHiCAGUfjGzGL2dMW4hNryyyLS1LhiZsFrk6MS4xFj5oD7jPP2yHFOiAMc9DXHmOgeU8sEcJKxMzpopbph+OM7Th+4m4zsOqg4TDzTiUK+eFuouOmBZ0Lov+Omnn1Z33nmnc5mrr746ekve89m6deuBOjxCSBMwRglpszfgSy65RP33f/+3evjhh9Xq1audy2UymehDCGlNGKOEtEkDHIahuvTSS9U999yjHnzwQbV27VrVjtmTIciu5gpgypGDQfUNEgz6GBteqygjo5SDmcAoyWImMEpWOShrVhJZtDII0ncFjhXkp2o3ZCb3gPyGMngVMqhBdsbMSGM+EAzIMSQg+9oDZdrwiEYPWcgSRakZ5xvfGVyfIC+lDJ3Z6S5P398diHX9xSg7x0FTXr+4vCtztmYv7RdA9jxm4KIvOUqnZnY03Ot4P2G3CsquEM9BjxyDV5GDq/bCcwGeN0HKLvEa8wGvIVM4hK4knA565XnlF8EIJyXH6o/D6Ap8bnV32jO5CzC6Aq+XK77L5dm7fDBGF2DsJedbdr7jjjvUd7/73Wgs8I4dO6L5vb29qgPrXBJCCCGLjHntA7755pujfqLTTjtNrVy5sv6566675nO3hBBCSMsz7xJ0u4Jyh9PLuSFz1gB9mDOQ1Yjl/1Cmwn2gjATLByg1g3yF2c6q6vBmBao9IidVc5DJXEHDDTm3BMhDFcjW9muyfJAU6aqak/PN7hIZq9oPslenLJ8Yzts9ZFFyR49aMAvwUMYCuR7LxxlSF3rRViCzmsSPyyDBNdrA4Rk81yxoQ3ZGn2NQ6QzPZ5yGMp/h8kF7lrHDlKfSD6VDC9B11A+SNZTeTE5CNwk8esq9sv3klN0nXVNcLs+SZNE+4sGfkuMO+qALa6xgfz6hAU+mZi+1Op63Zo2HEIuJASg9Oj5hzz53PJNd3Q9GN2KLliqlFzQhhBASA2yACSGEkBhgOULAJTUbphpZkJNRWmrM4kOZCqVg3Aeug9sC/2fMmvR3jdWny4ctl+MAKVhBdmSQkX3VOkRmmlwFEvGYyDHTy2V+Og9STg3kdNwXkNktx5yclvMqD8rxJyfB73oaygXmHJ67IOMZhiRwfbAsI8qEKCUaRiKQTa1K7rJn6A88VzmUvEpc17AJIxwjGx7L/2UaRidYljHmw2gG415BqRUNJ3BfYJoRZu3GOpU+kJdB+p1cLV0mmXH0rJbJ0oBsM1GUa1LLynUorETvazOOqzlZrnsLjNKAZ0bYnbXL3xiX0P3lTYA0jR7Zabi+YxP2kQ0d0MWE5RgN05PSrCY4ptSs5pY1HbMvNN+ACSGEkBhgA0wIIYTEwOKRoJuQGkzfUTCuwAH2Dq/URiMHH/1VUe5CadTlCwsD91Ferq2SIhbVDsgCTMJge8juDGB+alKONTUl25xcJdvpGA6s63pw+BUofZbOy3aKS0RC98G4o5KDY4CM61KPyFW9L4JBB5QgTIDUZfjVolwFcrQaAB/ckd0yjfIk+vuCrB2gocBeGe6J/WIWQfYdlBtNb2B7qUEsXWlI05jhjFKzkVEL0yiXwqgG08NZth+ABF2DbqtaFrqFwAAku1ueH9NLYPkMxpvE59Qy2D4mIo+bXUTFftlf5y7ZR36NnE/PizBSoVM2VulOWM1B8JmULEL8YQb5FHwfy8S3WoEpUYjyckenfcSDYVZk9wdvysTDFasxdx3xDZgQQgiJATbAhBBCSAwsHgnaNWi/iVJnxkBvXASm/R4oP9YIyMvhMpGRvcmi9fiCPpGmiyvtg+cDkK8wi7HcJfNL/TLdMSTThRXoDyuHkCjJdqr25FFD7qpmZTuZCZCj+32r3B36IF1Nh1bjDr8i61Z6RCLO7ACzDsww7QcZf0zKpHmYtQqEIIFhFvtepiqObOeF6EfbKrjMFQypGa5/6PiOfMzAdcUo3B8hlsxEg45U1uqdjH7rWDKz1gmGHrCdWsa3SsLVjKObA2ZXjMcKxCf0yGCsYneUJglJypMrk9ZuovHDwSAHetKS0/JMqqDZBxiCBJA17RVhhAga3rjKkybgGQslG3EEA3rsYzcReuob3UcOH/BWhW/AhBBCSAywASaEEEJiYPFI0IBr0L4hezkG6gclkDu8rN14Q4PGESDBGB6xGZHBqlC2rwaSbALMIqqdSYesBTIY+HmkQRYO0BcAs5rFglWFvn2+B1JOx5BMB7Cv4WNE+ureIvOnB2V+bhdkdILZABoJpEfl+pb7MfMUPKhRusdSZ1jGEcunYbYldi0YJh4NkjV2CWCGexNe4MyOnr+4NK6/I0aVy+cZTSAgXr2Zuo/2LAMl+1B2rkI3CWYHT62U+29qmSzfuV3OsTiQsErKqUm7vFzutsdhFR5DGP8a7DwL4RHlV7FcoMxPwGkmSrJMuRv8oqGrqjIgB57ZMmqVpv08xGs3XOtpKCsK30dioN9eyhXiu1aYmrV70ehGbNGuI74BE0IIITHABpgQQgiJgUUpQTvLVAEBZOIl+ntlGkw50MtUwYD/3/0jZG5OgPQFg9JDWCZRKFuzmk1gED9kUGKmJMrI5T7MlJb5paU1q5yEmZuVflhmCrxmD4KjKcLxgzfGxDoRvjp/C1nZPbKdUq9M9/5Gzn30KNHZMuMiLSVK8J1h+bRCyWoWoEA2DobFlMOH8o4hlF5rHJBveALn87NmxFN23r+4Ssy5ZEUfvdRxXRyBgGY3mA2PcYxmLngPQfnMWgeYgUAXSHkAlknbY2/kKInhJCQE16D3pHCw/V7q+bWsO34EdC/1yXXIbjE16MI66D6BEQaZ3TBSYcLebYVdW7khOabCKjmhrq0SQ9PrZIRHdkfBmkHuYxY0AqYn6AtteMCjJz92LWBmvHHftKbsjPANmBBCCIkBNsCEEEJIDCxKCbqZjDgfvGJRXjZkrBJ4n/ZB2rAGZRTI6lPgdRyCNFPrwBRFka+mlqet0uvUMpC4IPHPB/WquBTktzRIPEnwuZ6ADO3DJP3SL8NGIfuyWoPfbNvBSzkj20+NQ5m1Q0JrVmVaKisaZdICrOIIScY1KK2YHC9aM0/Rixc9pX0ok4Z+sj5kZAbjYPTR4FOL90IwPT2rHE32A5jZihnqaLQQ+LNL05Dh7OH31QnxjTJnvmA160A/Z+yqqeZkmWJfwuqBjhnO5jnKZHG5vVtIgXlN7TTxSA5ekfNKjMAxrIVuFX3O43DcCTTFgX0vtRt5+LCpKnhYd/8WMrmXyL67X5QYquXA5AafmWjKkZOuPW903N6dg37cCI5AMEYmOO6PFi0dyjdgQgghJAbYABNCCCExsGgk6Gb8n41yZcaAbs++DA4qbyhHaEjNuYw187nSBxIuyMtoTFFYAfIKSlZQ4cuDXWPGpbdEZNRUSo6nAp6t/npZJgzkGLq6ReatVOWcV/eLdvxKt0hIxWmRnEogxWU3p62SFg7+z6+W48mOgUd0B2ZZg+Sehkx0kJ1Rok9MQNmzJZKdqbbvkmk0fsCSk9EM2N/UlKOsZetnWS4EUFI24g9lSDTfwDKTE9CtsnTQbuAChhDBEsmC9tHzGZ8BsG6pD8r3dXrW+EQzjeywTBfhtlSdmHEN84tyvqt6RabdXJb7tbtTjr8GMawZV7KxREbu9zKY+oSQHZ2eSFqNdvC5Mr1Ejik9Gdh96/Ny7VJjEvghdAd58IxUGZCsocQofn/Gd4z3AZh41DC7vYlylXHL0XwDJoQQQmKADTAhhBASAwtDgm5CUmim7KBLdkbPYL8HUoLBrEOhEUDDgH5vqmTNfE6B73FpKZTdgkzE7q1y3ONrwYgjJ+eZzPv2TEeQozzIplwyKNmKq3tE1hotSrpmf1ayfbMJkYSeG1len67W5HgOWSZmF5tfWFGfLveDp3K3nEvXc6JplY0EcjnmJFjIpvMg0XfKuqldIlEFvXL8YS9kv+YhcxllZzBgCBuMVIySaJAFHWKZtWbMN1oo47JtcZQdNLqV4HtBz2D0bTZMOXoljj0YzeCPSDxUDpX04GqH3XfaC+xmGpjhnAXf5vGjQU5PwkIlkFRzci6r1opmvaJD4nZHRoJmckp2/NoVO43j2wKKdADPg4kpiaFEpxzT1EHwzAC/aDTuMCT13TDKAcql1iBr2u9Cv2zIbi/Cd4ZdeFgmFOMSnsnYfYSyszNLHnEYu8QRq3wDJoQQQmKADTAhhBASAwtDgnZJBw55wVnGDAggMzKB/rA4MBwG6ofdmLqo/y1hlUuCNJQgAyk1SHlWn+fiAEjkcJrpUZlf7gPZGTKf37h2a31687iYgSQTsqF3Lf2lHAPIv0NVkeg2Tq6sT7999cb6dAlcM360fX19evAQKUu2e7dIwf5I2mq4gT7SmOmNvrRouBGkofxin8jDyaG8fcB/ALIz+HqHDeYbTm9alK3TaKoNGjl5dbgkQGfspq3L+ODPbJSZdI1mQE9ikKyDfntpQjTxQPOJPEi2oeOenjxU1vWzci9lOkRerVblXNYvF9l5uir7mqhIl8lgp8iunX0ioSfBiEJzULdI6tsnoa8HngE+TKsymOKkYD5WhER76U4cpSEXIDNqHyFg+N9PTtu789DgCDKcsVvI6BZsHMGw5/gbR6bMYUTMgYJvwIQQQkgMsAEmhBBCYmBhSNBNZLIZsgPISShf4Hw0ZgjyMBgcJBR/pWQEe41yJsha5UNkxH1iumo13Cj3JKzyZw0Hw8O3Vc2F1sznJQNyHFsnRDrvTosmtqZbJOLD0zvq0w8XjqxPj4OB7dqcSGI7SiJjvZgXt4Hz1z1an75359H16bEJSJlcJsdQDEROS0GGcwVVSJDlallZJrejYpXGqktFNk9MiLxlWBPk5Lw88Os2Miz1/iby1qzaGpQmbIoWGvTfkriuiasEoRGj8J2hMQN2E+FohoIYqnjYrYSmOWDmEjhMXvyybD896Tmy+R2nNQHGHeDJvg5k53EYjfDm5S/Vp38zKfH2/tWP16ePy26pT/+48Bpjf/maxNmzSelKWtklNQg3bpNRC0EGrjtMYxY4ZntXa3C9kmDoMWY3LvGnwVe/U47Ngy4/heUhwZRDlcL9kzHfQqVD+QZMCCGExAAbYEIIISQGkotHxsKSZlheMLQub5SqAwka56uxCauXaQRIHqlhyVisQtZuLSO/f5LTIPeA3FrpsfsnYzmxIAdmHQXZ/nuPkAznnw6vkeOBmoXbqpId/XxBJPWPrbyvPj1Sk23+P/U6OWVf5PQXpmTd05Y+X5/2Ia15e15OZnRKbr3OrSmrvIXTuaHAWr4wAaXbUjvg+wDCHslQ93ZP2DOdIfMyOm6UwTDjEk05MCvTJWtRdp4ZV7YzlCBEL+gQYwCueQKyZdELOsRtYtlBlCSzsC8w7sCRCTidKMs2y132UprFpdCN1FW1mm8cs3pbffoXmyQ+33e8yMvLUnK/lnKyg01TIhs/MPLa+vTSjNlFkoKhE3848Lw1Xl/KShfZFMQWmoOEcNxoFFSFMMEugfH1cq0HnrVL/CF4uidw1AJ2CaAE3dBNVJ8Nxh2mgU7W7uc+V+axG4lvwIQQQkgMsAEmhBBCYmBxZkGjsYJRskqWDyCr2e/rsXvLQvaxahgMHoLhRpgRiasKMhKaS+CA9uKgHFNaqv+p6WUyXeuRg115kGQ1Z5Mi2UyAPvSp9d+uT2+uSDbl+7pkoP6hqR/Wp5eDVPTNsdfXp4/Ibq9PPz52Qn26Ly1Zxz/bemx9esfLIm91LBEZKNcvy5f6wds5by+BNrVcrmfXK1W7KceASM3+pGRVeqN5u2c3yM6G1KXXQXOGcciWhnvHWeLMxWKWo11SsyP+XMY5hjSN199hxuDhfiEDHsuHBv05a5ZuMmU3wckfAj7K0HNRhsTqWqeskIASfynImn7CO7g+fcKRm63HvzotHutFCIjHxw6pT58y8GJ9ek0a6h3qdUJZ5xeTInM/PSYSdqkE8dcBozR2S6zUstBdAxJ0WHX4QkOmOHaX4fPTn4KLh90DlYLdiAOyqYNpeX74OShxCNsxShO6nv/NZEfPY9zyDZgQQgiJgXlvgG+66SZ16KGHqmw2q04++WT12GOPzfcuCSGEkMUtQd91113qiiuuULfcckvU+N5www3qzDPPVJs2bVLLloGeuq80IRFgJqXLO9TwjXVtEzJiDckCMm01AcjOiXGRXlOOwf0oQafyIt9UO8AjGsw3FPi0doLJxq68mFEMLhMJ5stDp1pPpzvx8/p0FrIMf1kW+SkF6dfv7pTMzYeykh0+kJJ9BX2ynfV9Ion97Lcim1VfEdkojdI/KMSQZK2S03a53qvK/FQ1sMr7hn83SFdGhiyWsNP/BiYdrixLV6buXP2NFwXNlAl1GG64rqHhyw3yZBjAjQOx7oG5ihqU7H+vAqXtuuW7rnQlrbGKPs+B9LCoLKi/FZCjuw6TfqTpomx/Za/Ez84pGV1x3vJHlI0E6OAfWvVwffrsnHS3fOSVk411zu6XkRCvyYnpzlhF4m8ASo8+uxPMhVZLTCd+JcdXgYEgWVHIDbIjIGV3wHUEsw4fsqyTBTDiMLoWUvbRCCg7u2RkLE2I6jLeZwvZC/qzn/2suuiii9SFF16oXve610UNcS6XU//+7/8+n7slhBBCFu8bcLlcVo8//ri6+uqr6/N831dnnHGGeuQR+y+8UqkUffYwMWEf10kIiQfGKCFt0AAPDw+rWq2mli8XSUOj/964UUraIRs2bFDXXXfd/jsIh6SFEpWPWbEoSYLEgSYN5kBvyKpECUVLNpB5G/Z3W+WY5DRIXxmZX+oFaVpWVakJmV+SqnpqZErk766sPByfnlhVn+5JyfF9fOX369M/mV5Xnz40PVSfPg2yHvv8J+vTm8Cf+Y3d4kGb9USCfWDbEfXpY5aIZJ1JyXVPrZHrU0iKptWxHbsBlNWcBDMsax3oSILl0+D7HpSL5e0csWdYYnm6hvUV+g/D/RKgl7Sx7sKVnfd7jAJmRnTNKjdimVA/lbN/9wiWpEMTHTB78OGrx64LLBda6pf70odlEkXPricGMn9iFI4TnMlXHzRuLQX69LRkRx+W3Vmf3jI9WJ9+bfaV+vSGEYm3VRnZpuah/Gut5Qxfyot2vrxDpPBcVp5vu1+UZUI4hSR6WqDtNkyjz32iBCY6nRJz2XF4ZmJ3Aj6T0ewG4i2EH4FeNzwky9DVmMnOKjW7Mu8PFC2VBa3flsfHx+ufrVulni0hJH4Yo4S0wRvwkiVLVCKRUDt3yi84jf57xQoZg4ZkMpnoQwhpTRijhLRBA5xOp9Xxxx+vHnjgAXXOOedE84IgiP6+5JJLYvWWNaQGnMZsOpC6MEPW8IJG/2csp9Uge6KHaTIvksrEEbKtJKwOlQBVx0ui6xRWggQNGYRFGEj/9tUi7wcgcEzVZJn7oewgDtzfWBLJ+jSQuJ4sHmId2D8M+jhmaK7rldTIFyfE9GOwU7IqN78oXROpcZCdQdFLgTToQ7YzkhmBwfzwVda65SImwJTDyKpEmRqkrr0yn2u4D8jixJKVKHW67q/FzByleMxsNWRn/F6wCyAB2dFg9uD19VozpVUCbxbPnqULns+ZUfl+iwPyvUO1P8OIIzsMxjqgkCYg5f/ZIYmBvpzc7Eszcszv6PlVffq3OZGEC4E8k7oSRavHs+aEbilneO/wMfXpI3qlu+mXQxL32aScZ/cakbOLv5Ss8Uo3SPDTcu1gIIQqd8v5Z/E67gQDjUn5/oIcPGNhFAh2//md0BWBsQv3R1MmG64uIuQAdR3N6zAkPQTp/PPPVyeccII66aSTomFIhUIhyoomhBBCFjPz2gCfe+65amhoSF1zzTVqx44d6rjjjlP33XffXolZhBBCyGJj3r2gtdw8r5Jzk7gHXINkgbMxQ7bBJ9gmdYUD4BcdGUTAIHBID/RgQH+qIMtMD9ilkBFRjZQPh+GXZDvFvMg3dz8p/szpLpFvjlohg/AHQSt6b7dI1r8piznK50cPtR7PGsiUflvnpvr0F8Ho48Q+8bX9bkFOYLoKkpDvyJ6E7sUySHcdYHKQKGKmKhgtoE/JrrxVVvSgOyAcn7BKzr/bCfgPQ7Z7UJiaXWpeYJnP+wXXdZijKYKRHY3mKfC9omSdwK6FHrihUL7ukm4JD7ygw0H53qeXyH1W6fKsZjHVrsCaBa3yUG6zW7a/7iDJyE8n5Ly2FkTu/VZK4nlnSY7/3SvEYOPRosTqGgwUpdT3ho6zliP8wS4pKzoyBqVXx0DiT0lAZeB00qP2cqkB7DotidUqOQWjTkpy/rXenNWsCLsTcNo0bbFnn4ewfcyqx2ksTRt3GdGWyoImhBBCFgtsgAkhhJAYWBjlCJEmpEDD89khgRkGHcbyIHWNjbv9pWGgf7hiwLq+4VeMEs+EzO/8Lcg9kIBdg4HxHmR0ZjtFclveIzLsSFFWmO6Sc/s1bPQ300vr08vSsu7KlHjZ3rbtrVbZLJsQ6WfjhPTx756E/U5IyqhXkfMqD8p2+p4C6delWoIxBpqZ+NNV+3UehpqOXZ3273UGgslJ+3E0U8qMcvTMuHyeUT50lSBEGRKyYjFb1sh8RtnZYdxRg9KElU75fjPjst80lBQsQJnM9G7fmh2NZhVBzbeW8NwyKbJzfwbmT8mz45ie39anfzS9vj69uyoxnDd2rFQVsva3lsTII18R+f6QZTJqYXNRuqH8FHTPBeiLLdvv2AXTuyEWwSzH5ZGvoDvOGEWC3w2OLnCNUpiamt18yYjPeP2fEb4BE0IIITHABpgQQgiJgYUnQc+xBJoHGbIoXwRQts7v6rKWQPPQiAPlMA1IJF4ZZBTInK6lZZ3O7bLM5CrZR3YUZBSU5XbBQP9Q5KRah2xn54RkTaaScs73bxXv2Ax4OHdBnTX0ncWB/qcukUzKb219g+wXpK6JKZHBiuMynRiF2w2+mhRIepgFjVnNnTshqxwzGmEZv1i2dgEolCQnwS0A7oO9JGT0fwbnpxC8ZhFnaULSvBTvKB9nSP1wbUMYCWB0H4E3sFFyEmXOvh6rTJ0Ac4gc3EPF5ZAJj3EIxwlhohJgIlNYI9tP7ZD75EdFMcRRnRK3Y/0iqR6/Qqw+n82vsvo6p305iFUd0N2iSw1m5H7fUhA5uyMp1/HXr0Bp2GnoBphIznqeODKjlpZ1M0NyAWowUiG1Q0YehNht1wHSOYw0QBMkwwu6wTinfjwoTbdBiVC+ARNCCCExwAaYEEIIiYGFJ0E3IzUAKFOg1GXIXmDEgdOG5yxKnppekcG8KZFOaktF+ur+tWRRVwZEJu2WZEeVXy2SVVFslVUSJK4wIXJpeUIkm0ROjnUazDp6B0SW+m1Rsi9XZuV4fr5LSqKtzo7Wp58YP9gqOw8No+wHEt2kvbwgys6dUrFQVUEtzo7YMylTBczORA3a8XsS5MkgP2mVt1TRlJ+8joxd7oJ7KqjAvpnhPDP76fpgaUJVrTq83uF7qdSskqcH94HCbUJZUCOTHr7rVEn2G/qQHQzdWWW0jB+RGKj0QLY2jATAq5NLS9zumpa42lWQja7ukVj95TaRpofhOaJ5ZVQMqg9fKiY6W0YG7PEKvthBCqT5IpZjlO0nSqF1VMf0SpGUs0Ml+3dQhQ1BeUGVxGcGPgNK9ux2NE2CLiLMgjZLXaqWgW/AhBBCSAywASaEEEJiYOFJ0E1kWBoD/lG6AgKQHX1Y3kcjB5RKGiVokFqMEmcTkkJYOqjHbsoB4Lj63hdkmeIgSCpoizoOX+lumU6vEdm5XJH5P3pRBvR3dRWtWdM/GVlXn945KZLYZAFKovXIulNTIN9W7fIWJFwbMnLHUDiraUkyj9mNMLlzxCpLGaXqsBwhSlQNphwoO4cgjxnZthn5coJScW4GHWRvHN1EGIseZq7D94e+0CGMYEDDBg9NGqDMnQclRsMUSK1TskwaJMxKt9xDPkjT6FGueuyZ0qEP93EBRl2A9L39t9ItNLUsZS1Z+OJuGaVw7CrpwxmahueTfsaMy3V5piBSdQ9kWgcbwSMb6JSKpIZ3e2YMjIK2yTWq9MDzZrfMT45j2jTsoAYXBo2PHKYcrpKCHnYDOAyXnCMTYu464hswIYQQEgNsgAkhhJAYWHgSdDM45AtDdoYSdChVohyJSXleDpZvkFE8GEBeXb/KWqar0iXHkSiK1NK5Hf1lZToJ9qedW32rXzR6LIdbRZoqZ+X8k4NynPnxDqu0O/IbyZjMHSQe0bWdsvykkuncNjmeKmwyK5azxvF7jqzKZAnkIZCgK70iV2W35e0+z2My4F915ayZz5gRbWZb6mx39JWGLoS0XV6m7LwfcHUTOTy7fTBvMEqD4ibxu8DvCwx1FMrR1YzVQKeWlXsrBA/j5BTEKtyvibLEc2EFGsdApvSgLO8XQY6GbqeJ7SIPT/fLfe+D//vPXzpENg/lBKNzAMlbVcC8Z2u/1ds5s9vuSR/A5UqC1F7qh6xmTEzOl+yy/hjIywiabGDJT6OkIFwjHP3gMOVwxieuSwmaEEIIWXywASaEEEJiYHFK0IBZ3sy3SpAueREzohs9gj0YKI6ZeckhkUyDHtFnMRe7NCAyUjoPMvKkTFezskap37NKSB5oS5VeOIa8zK+BRuwF9szNWkYkm8JukHNTMj89nLB6xUIVMxWA1FUDpSxVgGzWKmREvywycq0LDEbysoMQypt5eXAnQZ9ulLdg2pAtm5SNsZuiVf1lFwRN+EJjt4FLakZf6ADK1hldRmiuM43fr8RDajdkVveLRuxDdxGaT/jQZZIZh+x/2HyiDN1L4AmDphdl8dFQxhMmC+eblxjo2GG+U02vhJKh2+1SfhoGD2AXFpIbku3UUnI+2eGSo7yqLONPQFwaB1eU6cZyrvUDqtqfyWisgV2EDnm5KfONGOKZb8CEEEJIDLABJoQQQmJgYUvQTUgHbukR5BosfwfSSgCl7Twsp6WBwf0eZk6jYQdINj74yyanQYLqRm9a+5Hmdsh0ErKIU9OywnTFkZk8BDKsb5eOM8OeNRM7BUnEmCWJ2+8YhsPHxGKQijDzObtLrlVpuVzDNEiAiD8E5ddQ9p+atn83WDaysYTkvpi7NDOfvCpJz5XBit0JPkiYhnEHxJ5houMC7hvVAzEMvtNoLBGmZb+ZkbK1G8nrgK4aSM5HL2iMPeyewdguQma18pL22DOtoFViCjKHYbvYVYWmODg6AZ83WDo1BV1hKMEb5UAxtvCZF8B0GUR1/I5Rmk7Mfq804/OMZQoDHOGA24whnvkGTAghhMQAG2BCCCEkBpKLxnADPJ+dvqC4qmMZlDu8DKQuoqyhAT9aA5BU/ElZJuwQiSQ1DCXvEjmrQUd6As035GscPUyknNwuyCjeBTJy2v4TDCXi4qB9GZTEUNLCQfjpcbvUjAP4fdgXZnrXOsHX1fHz0JsouD246yuDicDYuF2Ohh0YxhsNsmdQQu9px0FRdm6eOV4rd1m52qymC4YUihmyYL5hZMxjiUro0vDKsP2qzK90yrphCo1yMBNb5mfHZH5hWdIaGyj9Fgfkj+4tsszkwTDyAbxosFvod9vyrKMNijByIjUJGdsT9u8mNQkZyDBSwS9AqdVe6XtKDstBhd0w0mIU5pdK9mc1mKQEKEcD6P1dQ+MOB61kvoHwDZgQQgiJATbAhBBCSAwsbAkacMrOjoxMQ7JGeSuVsc8HU4e9wH9D6csoxwX7yyWs0g960CqQgVDm7X/BPmB+aplM926W85xcJceWGwJvWsiarnW4pGbIuJ4KrVmSlU45l8x41Sqn+yjvFUHqcmWo+wn7HYyevoaUCFKlUerMXY7QabhBYqUZf19DpsZMWzTugDJ3HmZNY1m8cciwX9Jvv28wHobsUqhfkW6kMCnH1jEi5xLA/NS0bLSaBZm6ZM9i7toO54JSa+RDnbA+D3o3258TaKaRAG/r5KRcxwCkdswC96fhWo9LurcXQLlHHDmS67DHJeIwxKhNNmrttnvCn1O3YxzwyUIIIYTEABtgQgghJAYWjQTtxGXQAZKFkRFreAmDJAySdbT+qMhXfm+PNfPPkD13DtUnE+ES+zElQYIBH2k0AEB5qJaV7S97Us5ncpXIbD1bRPIt9SaskjJKX2iagdNGxjKoYFhSML1bZKYAyvo1Izt7Y3bJySgjiPLTBGRbopychFseRu03GrIY3y3ubo6lBlmmcN9NOVxGC4Yc3RB/tq6EBJYgBGMNo4uoULCa6agCjGoA+RofoGESvmuQjjPbJAt/aq1I2WnokplelrKaXuR2yTI+nrsn+0oW5XiK/WZXysBzEnNVeB4EGd/aNZTMV6xyuT9RtF4ub1yuV9gLRic4QgS7hhwZ6iHGBnw3xvIQu+YohWLbxhjfgAkhhJAYYANMCCGExAAlaAemVALmGZAxiJJno6+w5yftZbRw0D+YSHgpkMfAUzXsytpLpYEEnYByXyhABSu7rYPn05MiWaUKIMOC1IfzayBX+eXAmiWZABm53CvnmNkp8lB5QM4ls10kYq9Sm5s/M2RMBmh4gsYJWN4Mvj/8XmtYnq4hC9otb85N4mo3SeyA04QpgqtkKOIy6HB2AeB8I+MdDZBhO9msvdsDYxsPCDYZZMFkB7KJQzDl6X1WuqzKy0TKrXbIcfrYnQPmG14lsHpNN5r0ZKB0YLU7ZZWdDd97AE02EpNF+zUaHrPK9EYmOs6fcpR8hf26ykw674kWMtloBr4BE0IIITHABpgQQgiJAUrQCEgZpnQI0gfKmTggHyXPBkKH1GnIp4APy3hVkKwhAzu5u2CVrIPBbqu0hB7LnS/LurUOmd8FRgK1HMhmoyAbQfZyBWSsREH2lYL9JkZlmz5mO0P5RaPk2CgYSaMsjzIh4HfmrFIXlqpDU44aZEcbNEqbXji7jNzG0ldb0YT/NpaYc5UmxO/RB09w9HQPIQMXzSESzZixYJwP9Ml00eUL71lHOCRAmsVpNKxJTmE2P5jgNNzeuA4a+aR3QVxCJrMCudwwLoHj84ZG7SVA0cgIYxdlZ0cs1cDPGX2eDY/2BVj+k2/AhBBCyEJpgDdv3qw++MEPqrVr16qOjg61fv16de2116qy4y2GEEIIWWzMiwS9ceNGFQSBuvXWW9Vhhx2mnn76aXXRRRepQqGgrr/+etWyNCNl4DIhes42/LhAGblDMgiDfN4635BhUaYZB0OJPjH08MYg3bFXZGd/RJb3wRggOepb5aQkZCAbXtMOUPpO5CFzEUbnJ7YNywoo9Y2DmQZKVCg7w3bCvMPvFTLJwyko6QhSF2Zzouzsg9ev4Q/b8N0bWbUN/rqudUhrxKUrg90wVwHpNICuC+wiwm4llKaNTGnM5IU4VJPgCw379acgzo37FefD7Cl0wZFlghRkR0MM4/xGsHSg0QWE1wW6s9CUBCV1Q3bGa42lPrE7CMyHsKvAw/1idwJ0zZlZ7GrBMS8N8FlnnRV99rBu3Tq1adMmdfPNN7d2A0wIIYQstCSs8fFxNTAwMOMypVIp+uxhYqJhUBshJFYYo4S0WQP8wgsvqBtvvHHWt98NGzao6667TrULhnlDo5EDZl9Chh/KWh54m2IGYVgBSQyzrkGONva3GwbAYzk1F5jRCOYe6MPsdYJ0XKzMuh1/EjI9QfpWmHWMMhtkKRvGBoHjOqA07ZKdUSZ0+cY68hAavZ+dsvMiJ5YY3Ydsc6ObAQ1Vwoqj3Kj9vsF70Tg07ErB/WJGNJp4lPJ2X/Iuyeb3C2B0gfuFfSWmIG7LkCmNErIG73cYMYAmQCqo2eMSJeVhyHxGsLsMYrE2NmbNMvcdI0285NzKwu7T/dFCoxfmlIR11VVXKc/zZvzo/l/klVdeieTo973vfVE/8ExcffXV0Zvyns/WrVtf3VkRQuYFxighMb0Bf/SjH1UXXHDBjMvo/t49bNu2TZ1++unqLW95i/rSl7406/YzmUz0IYS0JoxRQmJqgJcuXRp9mkG/+erG9/jjj1e33Xab8lF+bAeakCkMObNhoL4rw0+BtFkbn7DLLviAw+sG+/O6Ou1yNJgHGHRKxrUHEq6xfcgu9vKwjMMr1wtBosJtolSEpRiHd9szTPGYDS9ekKPhVNBww7jOKBli2UfMfEbZy+EfTFqMucrODp9glKP9TNa+Lt7raNCB9xPGJ8iuAd7fRhk9MPeA0nwqgGxf7Epp6M6qUwZZG6Vil5d1NOpCRhL42NWDxkG4LSwR6BidgNnYRnY4PAMM+R7iFU02Aigj6JKam+oKct0frmd4C41emJc+YN34nnbaaWrNmjVRv+/QkNS6XbFixXzskhBCCGkr5qUBvv/++6PEK/1ZvXq18W8h/gojhBBCFinz0gDrfuLZ+opbnn2UNcLAXgLPkJqNzFswAAC5x+uRwf3B8IhdhkV5GY8PzT1gALwhp2EmNshVhtkFyEyGeQhmOLvKCILMjrJzgN6vIKcHYyB74XXDUoMuk4ygap0foue20+/bxFnGjsTLXDNYXd1HIH+6tu/hywLuF+5FlGaNewalWYzVdMoaAxjzhkGHcdD2+cazAMud6sPr7oLjBmkXu4ya2IfruI0utUkw6UGPdoi/AOVuV7a68Q/7IBe3kNTsos06ZgkhhJCFARtgQgghJAZYjvBAYPjU4uzQWkLNyAIcGbVnX2KpMJR1IMtQgcmGkfWIPq0wbWRAQrYmyk8hyExY5s8wKjDkX4fUh762IDsb5wgYx+nAmeEM3QHNylKUnVuU+ZAVQV7GMoWG1Oy6N/B4XPI4ljiEuPX7eq1xZUjFIAljNr9hOoNArM4kNXs58KcHgx8j1iHmAjAWMWR6eK4YZQQdZSCxzKfn6OZppvtnoXQR8Q2YEEIIiQE2wIQQQkgMUIKeLwnMkKZS1mw/Q0YB2dZzjMPHzErMJjSkH5hv+CejdJzLWaUiIxsZSwE6MpwDyILGbGrEMNxAwwBUpUB2RqnLVVbOKQECztJlLeQDS1oPHCHguleMWE3bDT1UNbDGj5H5jF1HOCLCNaLAkHI9e/dMg+RsdGdhKUCYdi2PRkOY1WxkMjuWbzQmmq07DmlGUm5n2RnhGzAhhBASA2yACSGEkBigBH0AcA0ybyY7EGUdH7IgfWfZNJCWXP7bjgzKGpQ1NLKIDekYTQgwa7rkkOhAOsbs6KpkR/sOec8H0w/jvOZqkoJQdiaNGPcfZPj69vvSWL48e5cSjgTALhkDw/M4tMcYGuJguU2MMZTQNdg1BMcdlOy+2IZJj+sZgNuphPs/zrzZ5euFAt+ACSGEkBhgA0wIIYTEACXo/YTh9/xqsvQMeag4q5RtSLXGgfh22Qi3g77QLg9WbwZZy7ZNOF+Uyl0GGobMjtmZIHsF4CHbeH0JmRcMmdPu4e5aHmVdw6zC8DSHzH6Ik6BScmQKy/KJri671/QMzx1jdIJhOJK2ZzWjVz2MPHCBXWFGFvS+EC48qdkF34AJIYSQGGADTAghhMQAJej9xD4PDG8ig9fIxARQwnXKQ45lXKX9vCayEs0sbt8qRRkGGg65u5llmrq+i0i6Iq+CZrLkXeUqXaYcrmVcZhi4uOH5bB8FgaMjXKX8nMcTeUFPObqGynOKRVcVd9czydwozW9c8A2YEEIIiQE2wIQQQkgMUIJuFZqRZlylzxw0k5VoGg94s2ZizzUb2Zll7VhmoZQZIwsgxvbXuq7FUY5u4r53ldtEUGZuXMctqYPUjB7WzTAP12UxwTdgQgghJAbYABNCCCExQAl6IbAvEk8T5cHMxe2euPst07sJ2ZkyNTkgzEf2ritT2hVXzmOwx8BeRhyOLiOja4hZyrHBN2BCCCEkBtgAE0IIITFACbpdOYBS0X6TfPfTMVN2JgeE+ZCd57rNZrpqZtg+DWxaG74BE0IIITHABpgQQgiJAUrQZFYo+RJyANkHybqxhKARu5SaWw6+ARNCCCExwAaYEEIIiQFK0IQQMp8cQOm3Ge910jrwDZgQQgiJATbAhBBCSAxQgiaEkFZiP5l1kNaHb8CEEEJIDLABJoQQQmKADTAhhBASA2yACSGEkIXYAJdKJXXccccpz/PUk08+Od+7I4QQQtqCeW+Ar7zySrVq1ar53g0hhBDSVsxrA/z9739f/eAHP1DXX3/9fO6GEEIIaTvmbRzwzp071UUXXaS+853vqFwu17RcrT97GB8fj/5fVRWlwvk6UkJam+j+18M9w/iDgDFKyH6Mz3AeCIIgPOuss8JPfOIT0d8vvfSSPrLwiSeemHG9a6+9NlqOH3742fvz4osvhnHDGOWHH7Xf4tPT/2m2sb7qqqvUpz/96RmXee655yLZ+e6771YPPfSQSiQSavPmzWrt2rXqiSeeiBKymv11PTY2ptasWaNefvll1dvbq9qRiYkJdfDBB6utW7eqnp4e1W7w+ONHv2UecsghanR0VPX19cV6LAstRtv9/mj3418I57Av8TknCfqjH/2ouuCCC2ZcZt26deqHP/yheuSRR1QmkzH+7YQTTlDnnXee+upXv2pdVy/fuI5GB3Y7fjGIPv52Pgcef/z4fvyjBhdqjLb7/dHux78QzuHVxOecGuClS5dGn9n4whe+oD75yU/W/962bZs688wz1V133aVOPvnkOR8kIYQQstCYlyQs/TqOdHV1Rf9fv369Wr169XzskhBCCGkr4te0ZkBLXddee61V8moX2v0cePzx08rn0MrH1gw8/vjJtPk57MvxzykJixBCCCGL4A2YEEIIWaiwASaEEEJigA0wIYQQEgNsgAkhhJAYYANMCCGExEDbNcDtWl9Y23F+8IMfjCw5Ozo6ojHROnW9XC6rVuWmm25Shx56qMpms5GBymOPPabahQ0bNqgTTzxRdXd3q2XLlqlzzjlHbdq0SbUrn/rUp6J7/vLLL1etTjvGaDvGp4Yx2t4x2nYNcLvWF964caMKgkDdeuut6plnnlGf+9zn1C233KI+/vGPq1ZEu5ZdccUV0UPoF7/4hTr22GMjN7Ndu3apdkD7kF988cXq0UcfVffff7+qVCrq7W9/uyoUCqrd+NnPfhbdN8ccc4xqB9oxRtstPjWM0QUQo2Ebce+994ZHHnlk+MwzzzRVXanV+cxnPhOuXbs2bEVOOumk8OKLL67/XavVwlWrVoUbNmwI25Fdu3ZF98xDDz0UthP5fD48/PDDw/vvvz889dRTw8suuyxsZRZSjLZyfGoYo+0fo23zBrynvvDXvva1pusLt0MVjYGBAdVqaNnt8ccfV2eccYZhNK7/1kU22pE9dWtb8XrPhH5DOPvss43volVZaDHaqvGpYYwujBidFy/o/Y0269JVmD784Q9HFZV0f02788ILL6gbb7xRXX/99arVGB4eVrVaTS1fvtyYr//WUl27oaVF3S9zyimnqKOPPlq1C3feeWckLWp5q9VZaDHayvGpYYwujBiN9Q1Y1xfWndYzffTNpAMhn8+rq6++WrUazZ4D8sorr6izzjpLve9974veGMj8/0J9+umno2BpF3Rt1Msuu0x94xvfiBJs4qLdY5Tx2R5cvEhjNFYv6KGhITUyMjJrfeH3v//96r/+67+iYNmD/vWXSCRmrC/cSueQTqfrpRlPO+009aY3vUndfvvtLVHj1SZvaQnxP//zP6PMxD2cf/75UQH27373u6pduOSSS6Ljffjhh6MM13bhO9/5jnrPe94T3eN4z+sY0PeMzjTGf5sv2j1GF2J8ahijCyNG26IYw8svv6wmJib2qi+sbz6det8uJQ71L+vTTz9dHX/88errX//6AXmAvlr0dT3ppJOiN5s9EpEuM6mDRb9VtDr6tr700kvVPffcox588EF1+OGHq3ZCv01u2bLFmHfhhReqI488Un3sYx9rOZluIcRoO8WnhjHa/jHaFn3AC6G+sA5u/ct6zZo1Ub+S/mW+hxUrVqhWQw9v0L+mdX+eDvIbbrghGh6gb7B2kbTuuOOO6Je1Hme4Y8eOaH5vb280zrPV0cfcGMCdnZ1qcHCw5RrfhRCj7RafGsZo+8doWzTACwE9zk0nduhP4wOpFUWIc889N3oIXXPNNVFgaGOF++67b6+kj1bl5ptvjv6vH6rIbbfdFiULEdLO8alhjLY/bSFBE0IIIQuN1swwIIQQQhY4bIAJIYSQGGADTAghhMQAG2BCCCEkBtgAE0IIITHABpgQQgiJATbAhBBCSAywASaEEEJigA0wIYQQEgNsgAkhhJAYYANMCCGEqAPP/we+sgoLq9nHgwAAAABJRU5ErkJggg==", "text/plain": [ - "
" + "
" ] }, "metadata": {}, @@ -393,15 +403,13 @@ " plot_xmax = 4.0\n", " plot_limits = 2 * [(-plot_xmax, plot_xmax)]\n", "\n", - " fig, axs = plt.subplots(ncols=3, sharex=True, sharey=True, figsize=(8.5, 2.5))\n", + " fig, axs = plt.subplots(ncols=2, sharex=True, sharey=True, figsize=(5.5, 2.5))\n", " \n", " grid_values, grid_edges = np.histogramdd(x[:, (0, 1)], bins=64, range=plot_limits, density=True)\n", " axs[0].pcolormesh(grid_edges[0], grid_edges[1], grid_values.T)\n", - " axs[1].scatter(x[:, 0], x[:, 1], c=np.exp(log_prob), s=1)\n", - " axs[2].hist2d(x_prior[:, 0], x_prior[:, 1], bins=64, range=plot_limits, density=True)\n", + " axs[1].hist2d(x_prior[:, 0], x_prior[:, 1], bins=64, range=plot_limits, density=True)\n", " axs[0].set_title(\"Histogram\", fontsize=\"medium\")\n", - " axs[1].set_title(\"Scatter + color density\", fontsize=\"medium\")\n", - " axs[2].set_title(\"Gaussian\", fontsize=\"medium\")\n", + " axs[1].set_title(\"Gaussian\", fontsize=\"medium\")\n", " plt.show()" ] }, From 47eee9b8881e9da85ff30a27e25cef6f93e8fc00 Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Tue, 30 Sep 2025 11:15:45 -0400 Subject: [PATCH 04/27] Change name from NSF to NSFDist --- gpsr/beams.py | 15 ++++++++++++--- 1 file changed, 12 insertions(+), 3 deletions(-) diff --git a/gpsr/beams.py b/gpsr/beams.py index 7357d18..e29c4e2 100644 --- a/gpsr/beams.py +++ b/gpsr/beams.py @@ -10,6 +10,8 @@ from cheetah.particles import ParticleBeam from cheetah.utils.bmadx import bmad_to_cheetah_coords +import zuko + class BeamGenerator(torch.nn.Module, ABC): @abstractmethod @@ -164,9 +166,11 @@ def sample_and_log_prob(self, n: int) -> tuple[torch.Tensor, torch.Tensor]: return (x, log_prob) -class NSF(GenModel): +class NSFDist(GenModel): """Implements a normalizing flow using rational-quadratic splines. + Note that the RQS transformation is only defined in the range [-5, 5]. + This class uses the Zuko library: https://github.com/probabilists/zuko/blob/master/zuko/flows/autoregressive.py """ @@ -179,8 +183,6 @@ def __init__( ) -> None: super().__init__(**kwargs) - import zuko - self._flow = zuko.flows.NSF( features=self.ndim, transforms=transforms, @@ -201,6 +203,13 @@ def _sample_and_log_prob(self, n: int) -> tuple[torch.Tensor, torch.Tensor]: def sample_base(self, n: int) -> torch.Tensor: return self._flow.base().sample((n,)) + def to(self, device): + self.flow = self.flow.to(device) + self.norm_matrix = self.norm_matrix.to(device) + self.unnorm_matrix = self.unnorm_matrix.to(device) + self.unnorm_matrix_log_det = self.unnorm_matrix_log_det.to(device) + return self + class EntropyBeamGenerator(BeamGenerator): """Generates beam and entropy in forward pass.""" From 75663a22f57d5a75419c35a8cda731e3dc9bbc36 Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Tue, 30 Sep 2025 11:48:21 -0400 Subject: [PATCH 05/27] Update generative model classes - Add NNDist class - Default cov_matrix to identity matrix - Add entropy method to GenModel class --- gpsr/beams.py | 81 ++++++++++++++++++++++++++++++++++++++++++++++++++- 1 file changed, 80 insertions(+), 1 deletion(-) diff --git a/gpsr/beams.py b/gpsr/beams.py index e29c4e2..4c03c24 100644 --- a/gpsr/beams.py +++ b/gpsr/beams.py @@ -1,6 +1,7 @@ import math from abc import abstractmethod, ABC from typing import Any +from typing import Callable import torch from torch import Size, Tensor @@ -13,6 +14,11 @@ import zuko +def compute_batched_jacobian(x: torch.Tensor, function: Callable) -> torch.Tensor: + # https://docs.pytorch.org/functorch/stable/generated/functorch.jacrev.html + return torch.func.vmap(torch.func.jacrev(function))(x) + + class BeamGenerator(torch.nn.Module, ABC): @abstractmethod def forward(self) -> ParticleBeam: @@ -117,6 +123,9 @@ def __init__(self, ndim: int, cov_matrix: torch.Tensor = None) -> None: self.ndim = ndim + if cov_matrix is None: + cov_matrix = torch.eye(self.ndim) + cov_matrix = torch.clone(cov_matrix) if cov_matrix is None: cov_matrix = torch.eye(self.ndim) @@ -164,7 +173,78 @@ def sample_and_log_prob(self, n: int) -> tuple[torch.Tensor, torch.Tensor]: x = torch.matmul(z, self.unnorm_matrix.T) log_prob = log_prob - self.unnorm_matrix_log_det return (x, log_prob) + + def entropy(self, n: int, prior: Any = None) -> torch.Tensor: + """Estimate the entropy of the distribution. + + Args: + n: Number of samples. + prior: Prior distribution q(x). Must have method + `prior.log_prob(x: torch.Tensor) -> torch.Tensor`. + + Returns: + Entropy estimate. If `prior` is None, return the absolute entropy: + + H[p(x)] = -\int p(x) \log(p(x)) dx. \in [-\infty, 0], + + which is maximum at p(x) = uniform (H = 0). Otherwise, return the relative + entropy (KL divergence): + + H[p(x), q(x)] = -\int p(x) \log(p(x)) dx \in [0, \infty], + + which is maximum at p(x) = q(x). + """ + x, log_p = self.sample_and_log_prob(n) + + if prior is None: + return -torch.mean(log_p) + else: + log_q = prior.log_prob(x) + return -torch.mean(log_p - log_q) + + +class NNDist(GenModel): + """Generative model using non-invertible NN transform.""" + def __init__(self, width: int = 20, depth: int = 2, **kwargs) -> None: + super().__init__(**kwargs) + self.transform = NNTransform( + n_hidden=depth, + width=width, + phase_space_dim=self.ndim, + output_scale=1.0 + ) + self.base_dist = torch.distributions.MultivariateNormal( + loc=torch.zeros(self.ndim), + covariance_matrix=torch.eye(self.ndim), + ) + def _sample(self, n: int) -> torch.Tensor: + z = self.base_dist.rsample((n,)) + return self.transform(z) + + def _log_prob(self, z: torch.Tensor) -> torch.Tensor: + # Transform is not invertible. + raise NotImplementedError + + def _sample_and_log_prob(self, n: int) -> tuple[torch.Tensor, torch.Tensor]: + z = self.base_dist.rsample((n,)) + x = self.transform(z) + jac_matrix = compute_batched_jacobian(z, self.transform) + ladj = torch.log(torch.abs(torch.linalg.det(jac_matrix))) + log_p = self.base_dist.log_prob(z) - ladj + return (x, log_p) + + def to(self, device): + self.transform = self.transform.to(device) + self.base_dist = torch.distributions.MultivariateNormal( + loc=torch.zeros(self.ndim).to(device), + covariance_matrix=torch.eye(self.ndim).to(device), + ) + self.unnorm_matrix = self.unnorm_matrix.to(device) + self.unnorm_matrix_log_det = self.unnorm_matrix_log_det.to(device) + self.norm_matrix = self.norm_matrix.to(device) + return self + class NSFDist(GenModel): """Implements a normalizing flow using rational-quadratic splines. @@ -173,7 +253,6 @@ class NSFDist(GenModel): This class uses the Zuko library: https://github.com/probabilists/zuko/blob/master/zuko/flows/autoregressive.py """ - def __init__( self, transforms: int = 3, From 93740056d8279047f9caf951dc571ff1b856d68a Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Tue, 30 Sep 2025 11:49:21 -0400 Subject: [PATCH 06/27] Change example to use gpsr.beams module --- docs/examples/jacobian/test_jacobian.ipynb | 413 ++------------------- docs/examples/jacobian/test_kl_nn.ipynb | 294 +++++++++++++++ 2 files changed, 330 insertions(+), 377 deletions(-) create mode 100644 docs/examples/jacobian/test_kl_nn.ipynb diff --git a/docs/examples/jacobian/test_jacobian.ipynb b/docs/examples/jacobian/test_jacobian.ipynb index 70f2ae6..35c1cd8 100644 --- a/docs/examples/jacobian/test_jacobian.ipynb +++ b/docs/examples/jacobian/test_jacobian.ipynb @@ -5,418 +5,77 @@ "id": "ecf3fd1a", "metadata": {}, "source": [ - "# Test direct Jacobian matrix calculation" - ] - }, - { - "cell_type": "markdown", - "id": "aa34179a", - "metadata": {}, - "source": [ - "Flow-based generative models use invertible transformations to evaluate the density $p(x)$ at point $x$. To evalute the density, we track the determinant of the Jacobian matrix through the inverse transformation. Flow-based models also typically use transformations wtih easy-to-compute Jacobians---for example, those with triangular Jacobians---to improve scaling in high dimensions ($D^3$). \n", - "\n", - "If we only need to evalute the density at each *sampled* point $x^{(i)} \\sim p(x)$, then we do not need to invert the transformation. We can track the Jacobian matrix through the forward (unnormalizing) transformation. Additionally, in GPSR, the distributions are at most six-dimensional, so it may be possible to compute the Jacobian directly without using a restricted architecture." + "# Test Jacobian matrix calculation" ] }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "id": "8f899f1d", "metadata": {}, "outputs": [], "source": [ - "from typing import Callable\n", - "\n", - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", "import torch\n", - "from torch.func import jacrev\n", - "from torch.func import vmap\n", + "import matplotlib.pyplot as plt\n", "\n", "import gpsr\n", - "from gpsr.beams import NNTransform" - ] - }, - { - "cell_type": "markdown", - "id": "ed1f934c", - "metadata": {}, - "source": [ - "## Write vectorized function to compute Jacobians" - ] - }, - { - "cell_type": "markdown", - "id": "f670d207", - "metadata": {}, - "source": [ - "Source: https://docs.pytorch.org/functorch/stable/generated/functorch.jacrev.html." + "from gpsr.beams import compute_batched_jacobian" ] }, { "cell_type": "code", - "execution_count": 3, - "id": "a8758908", - "metadata": {}, - "outputs": [], - "source": [ - "def compute_jacobian(x: torch.Tensor, function: Callable) -> torch.Tensor:\n", - " return vmap(jacrev(function))(x)" - ] - }, - { - "cell_type": "markdown", - "id": "fee49895", - "metadata": {}, - "source": [ - "Test on simple function." - ] - }, - { - "cell_type": "code", - "execution_count": 4, + "execution_count": 2, "id": "0f635886", "metadata": {}, - "outputs": [], - "source": [ - "def transform(x: torch.Tensor) -> torch.Tensor:\n", - " return torch.sin(x)\n", - "\n", - "x = torch.randn(64, 5)\n", - "J = compute_jacobian(x, transform)\n", - "assert J.shape == (x.shape[0], x.shape[1], x.shape[1])" - ] - }, - { - "cell_type": "markdown", - "id": "641b7dd5", - "metadata": {}, - "source": [ - "## Test KL minimization with NNTransform" - ] - }, - { - "cell_type": "markdown", - "id": "0b375e48", - "metadata": {}, - "source": [ - "Use the `NNTransform` function to unnormalize samples from a base distribution. This function is not invertible, so we cannot evaluate the density at an arbitrary point. But we will try to evaluate the density at a batch of sampled points, which is all we need to estimate the KL divergence. The following example minimizes the KL divergence between the model distribution and Gaussian distribution." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "ed6f9f69", - "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "0 tensor(6.0868, grad_fn=)\n", - "50 tensor(0.0291, grad_fn=)\n", - "100 tensor(0.0079, grad_fn=)\n", - "150 tensor(0.0054, grad_fn=)\n", - "200 tensor(0.0024, grad_fn=)\n" + "tensor([[[ 0.9354, 0.0000],\n", + " [ 0.0000, 0.9734]],\n", + "\n", + " [[ 0.4106, 0.0000],\n", + " [ 0.0000, 0.7461]],\n", + "\n", + " [[ 0.9237, 0.0000],\n", + " [ 0.0000, 0.7843]],\n", + "\n", + " [[ 0.9502, 0.0000],\n", + " [ 0.0000, 0.9135]],\n", + "\n", + " [[-0.5227, -0.0000],\n", + " [-0.0000, -0.5571]]])\n", + "\n", + "tensor([[ 0.9354, 0.9734],\n", + " [ 0.4106, 0.7461],\n", + " [ 0.9237, 0.7843],\n", + " [ 0.9502, 0.9135],\n", + " [-0.5227, -0.5571]])\n" ] } ], "source": [ - "ndim = 2\n", - "size = 10_000\n", - "\n", - "class GenModel(torch.nn.Module):\n", - " def __init__(self, transform: torch.nn.Module, base_dist: torch.distributions.Distribution) -> None:\n", - " super().__init__()\n", - " self.transform = transform\n", - " self.base_dist = base_dist\n", - "\n", - " def sample(self, size: int) -> torch.Tensor:\n", - " z = base_dist.rsample((size,))\n", - " x = transform(z)\n", - " return x\n", - "\n", - " def sample_and_log_prob(self, size: int) -> torch.Tensor:\n", - " z = base_dist.rsample((size,))\n", - " x = transform(z)\n", - " jacobian = compute_jacobian(z, transform)\n", - " ladj = torch.log(torch.abs(torch.linalg.det(jacobian)))\n", - " log_prob = base_dist.log_prob(z) - ladj\n", - " return (x, log_prob)\n", - "\n", - "\n", - "transform = NNTransform(\n", - " n_hidden=2,\n", - " width=32,\n", - " dropout=0.0,\n", - " activation=torch.nn.Tanh(),\n", - " output_scale=1.0,\n", - " phase_space_dim=ndim,\n", - ")\n", - "\n", - "base_dist = torch.distributions.MultivariateNormal(\n", - " loc=torch.zeros(ndim), \n", - " covariance_matrix=torch.eye(ndim),\n", - ")\n", - "\n", - "prior_dist = torch.distributions.MultivariateNormal(\n", - " loc=torch.zeros(ndim), \n", - " covariance_matrix=torch.eye(ndim),\n", - ")\n", - "\n", - "dist = GenModel(transform, base_dist)\n", - "optimizer = torch.optim.Adam(dist.parameters(), lr=0.01)\n", - "\n", - "history = {}\n", - "history[\"loss\"] = []\n", - "for iteration in range(201):\n", - " optimizer.zero_grad()\n", - " x, log_prob = dist.sample_and_log_prob(size)\n", - " entropy = -torch.mean(log_prob - prior_dist.log_prob(x))\n", - " loss = -entropy\n", - " loss.backward()\n", - " optimizer.step()\n", - "\n", - " history[\"loss\"].append(loss.item())\n", - "\n", - " if iteration % 50 == 0:\n", - " print(iteration, loss)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "664c404d", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots(figsize=(3.0, 2.0))\n", - "ax.plot(history[\"loss\"])\n", - "ax.set_xlabel(\"Iteration\")\n", - "ax.set_ylabel(\"Loss\")\n", - "ax.set_ylim(-0.2, ax.get_ylim()[1])\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "2203c1b5", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "with torch.no_grad():\n", - " # Sample and evaluate density at each point\n", - " x, log_prob = dist.sample_and_log_prob(100_000)\n", - " x = x.numpy()\n", - " log_prob = log_prob.numpy()\n", - "\n", - " x_prior = prior_dist.rsample((x.shape[0],))\n", - "\n", - " # Sort by density\n", - " idx = np.argsort(log_prob)\n", - " x = x[idx]\n", - " log_prob = log_prob[idx]\n", - "\n", - " # Plot histogram and scatter plot with points colored by density\n", - " plot_xmax = 4.0\n", - " plot_limits = 2 * [(-plot_xmax, plot_xmax)]\n", - "\n", - " fig, axs = plt.subplots(ncols=3, sharex=True, sharey=True, figsize=(8.5, 2.5))\n", - " \n", - " grid_values, grid_edges = np.histogramdd(x, bins=64, range=plot_limits, density=True)\n", - " axs[0].pcolormesh(grid_edges[0], grid_edges[1], grid_values.T)\n", - " axs[1].scatter(x[:, 0], x[:, 1], c=np.exp(log_prob), s=1)\n", - " axs[2].hist2d(x_prior[:, 0], x_prior[:, 1], bins=64, range=plot_limits, density=True)\n", - " axs[0].set_title(\"Histogram\", fontsize=\"medium\")\n", - " axs[1].set_title(\"Scatter + color density\", fontsize=\"medium\")\n", - " axs[2].set_title(\"Gaussian\", fontsize=\"medium\")\n", - " plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "bd48e24a", - "metadata": {}, - "source": [ - "### 6D" - ] - }, - { - "cell_type": "markdown", - "id": "14a99bc5", - "metadata": {}, - "source": [ - "Let's try again with a 6D distribution." - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "c7d87086", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0 tensor(16.9097, grad_fn=)\n", - "50 tensor(0.4620, grad_fn=)\n", - "100 tensor(0.1118, grad_fn=)\n", - "150 tensor(0.0385, grad_fn=)\n", - "200 tensor(0.0224, grad_fn=)\n", - "250 tensor(0.0129, grad_fn=)\n", - "300 tensor(0.0121, grad_fn=)\n" - ] - } - ], - "source": [ - "ndim = 6\n", - "size = 20_000\n", - "\n", - "transform = NNTransform(\n", - " n_hidden=2,\n", - " width=32,\n", - " dropout=0.0,\n", - " activation=torch.nn.Tanh(),\n", - " output_scale=1.0,\n", - " phase_space_dim=ndim,\n", - ")\n", - "\n", - "base_dist = torch.distributions.MultivariateNormal(\n", - " loc=torch.zeros(ndim), \n", - " covariance_matrix=torch.eye(ndim),\n", - ")\n", - "\n", - "prior_dist = torch.distributions.MultivariateNormal(\n", - " loc=torch.zeros(ndim), \n", - " covariance_matrix=torch.eye(ndim),\n", - ")\n", - "\n", - "dist = GenModel(transform, base_dist)\n", - "optimizer = torch.optim.Adam(dist.parameters(), lr=0.01)\n", - "\n", - "history = {}\n", - "history[\"loss\"] = []\n", - "for iteration in range(301):\n", - " optimizer.zero_grad()\n", - " x, log_prob = dist.sample_and_log_prob(size)\n", - " entropy = -torch.mean(log_prob - prior_dist.log_prob(x))\n", - " loss = -entropy\n", - " loss.backward()\n", - " optimizer.step()\n", - "\n", - " history[\"loss\"].append(loss.item())\n", - "\n", - " if iteration % 50 == 0:\n", - " print(iteration, loss)" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "edd26498", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots(figsize=(3.0, 2.0))\n", - "ax.plot(history[\"loss\"])\n", - "ax.set_xlabel(\"Iteration\")\n", - "ax.set_ylabel(\"Loss\")\n", - "ax.set_ylim(-0.2, ax.get_ylim()[1])\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "57f67080", - "metadata": {}, - "source": [ - "This time we won't make the scatter plot: the density at each point is in 6D space, not the 2D space in the plot." - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "cf1efa6e", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "with torch.no_grad():\n", - " # Sample and evaluate density at each point\n", - " x, log_prob = dist.sample_and_log_prob(100_000)\n", - " x = x.numpy()\n", - " log_prob = log_prob.numpy()\n", + "def transform(x: torch.Tensor) -> torch.Tensor:\n", + " return torch.sin(x)\n", "\n", - " x_prior = prior_dist.rsample((x.shape[0],))\n", + "def transform_deriv(x: torch.Tensor) -> torch.Tensor:\n", + " return torch.cos(x)\n", "\n", - " # Sort by density\n", - " idx = np.argsort(log_prob)\n", - " x = x[idx]\n", - " log_prob = log_prob[idx]\n", "\n", - " # Plot histogram and scatter plot with points colored by density\n", - " plot_xmax = 4.0\n", - " plot_limits = 2 * [(-plot_xmax, plot_xmax)]\n", + "x = torch.randn(5, 2)\n", + "J = compute_batched_jacobian(x, transform)\n", + "assert J.shape == (x.shape[0], x.shape[1], x.shape[1])\n", "\n", - " fig, axs = plt.subplots(ncols=2, sharex=True, sharey=True, figsize=(5.5, 2.5))\n", - " \n", - " grid_values, grid_edges = np.histogramdd(x[:, (0, 1)], bins=64, range=plot_limits, density=True)\n", - " axs[0].pcolormesh(grid_edges[0], grid_edges[1], grid_values.T)\n", - " axs[1].hist2d(x_prior[:, 0], x_prior[:, 1], bins=64, range=plot_limits, density=True)\n", - " axs[0].set_title(\"Histogram\", fontsize=\"medium\")\n", - " axs[1].set_title(\"Gaussian\", fontsize=\"medium\")\n", - " plt.show()" + "print(J)\n", + "print()\n", + "print(transform_deriv(x))" ] }, { "cell_type": "code", "execution_count": null, - "id": "5bad2980", + "id": "e4bc4e32", "metadata": {}, "outputs": [], "source": [] diff --git a/docs/examples/jacobian/test_kl_nn.ipynb b/docs/examples/jacobian/test_kl_nn.ipynb new file mode 100644 index 0000000..dd8d4a1 --- /dev/null +++ b/docs/examples/jacobian/test_kl_nn.ipynb @@ -0,0 +1,294 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "ecf3fd1a", + "metadata": {}, + "source": [ + "# Test KL minimization with non-invertible transformation" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "8f899f1d", + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import torch\n", + "\n", + "import gpsr\n", + "from gpsr.beams import NNDist" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "ed6f9f69", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 tensor(5.9680, grad_fn=)\n", + "50 tensor(0.0208, grad_fn=)\n", + "100 tensor(0.0072, grad_fn=)\n", + "150 tensor(0.0032, grad_fn=)\n", + "200 tensor(0.0028, grad_fn=)\n" + ] + } + ], + "source": [ + "ndim = 2\n", + "nsamp = 10_000\n", + "\n", + "dist = NNDist(width=32, depth=2, ndim=2)\n", + "prior = torch.distributions.MultivariateNormal(\n", + " torch.zeros(ndim),\n", + " torch.eye(ndim),\n", + ")\n", + "optimizer = torch.optim.Adam(dist.parameters(), lr=0.01)\n", + "\n", + "history = {\"loss\": []}\n", + "\n", + "for iteration in range(201):\n", + " loss = -dist.entropy(nsamp, prior=prior)\n", + " loss.backward()\n", + " optimizer.step()\n", + " optimizer.zero_grad()\n", + "\n", + " history[\"loss\"].append(loss.item())\n", + "\n", + " if iteration % 50 == 0:\n", + " print(iteration, loss)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "664c404d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(3.0, 2.0))\n", + "ax.plot(history[\"loss\"])\n", + "ax.set_xlabel(\"Iteration\")\n", + "ax.set_ylabel(\"Loss\")\n", + "ax.set_ylim(-0.2, ax.get_ylim()[1])\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "2203c1b5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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vryQyGGy6wES5G2+8kWyQ8HfGpDlM1MQs7pqaGnc+TIZBiyO8hjHBDy2a0BFBfYf3C7oyYMIKLnvGGWd47iFM+kOHDLyOlQUc4q677qLrGTPflcsDJr6gUwLuByaltmzZku6NIFeFv4L/jwUc2kYde+yx5NqA5wYtoJRrx4a0gGsM0HaqpKSEzjsuh4lP/mfB//73P2fbbbel5xImDQ4cONBNngp6BihLQGWph88xTADE5wj+Dvi8wgTjdL9D0HNOAV1CguzgDJoPli5dStcUurrgPYPX7oABA8gdp7q6muZ55JFHyJVFtYl4T/mvM0yKw/YWE/7wWYP3gkrcwyRYbCtxHXjd4/Tbb7+dXHrW11b72zu8R/B+xX3BZZ566qkGSci4fkwc5MD70H/9G/x1kKHtv8rKDTZ5YOQZ37pRH2VgYGCwKQCbOozKXXzxxaZXy8DAoFEwFfcM1ouHHnqItFyYzINdStjljN1WBgYGBpsCsGv87bffJh3p2WefvbF3x8DAYBOBIckGjbLIQe1VZWUlJUShvhD1fQYGBgabAlq1agUlJSWUI4H5EgYGBgaNgZFbGBgYGBgYGBgYGGwsdws0zMYscsxUNjAwMDAwMDAwMIDmTpLR3gStw3hFGAMDAwMDAwMDA4NmS5LRsxK9OdH83WjBDAwMDAwMDAwMNgVs8MS9Sy65hEovYo3ye+65Z53zYt10VTsdgYbZWGkKi1Ksr3iFgcHmCkwbwKRJrF6GldE2Jsw9amDghbk/DQw233t0g5JktNzBCkmNKWOMwMpMWKHJwMCgIRYtWgQdOnTYqPtg7lEDg2CY+9PAYPO7RzeYuwXuDJZ+xFKxSouMpRy33XZbeOyxxxr1FlxeXg5bbLEF7A6HQASiG2I3DQyaPJKQgFHwJZSVlUFBQcFG3Zd09yje7/n5+Rt13wwMNgYqKiqgY8eOTfr+NG2oQXNG8m+0oRsskjxu3DhYuXIl9O/f352WSqVg5MiR8NRTT9GNjHXSOTIyMmhouJNRiFjmBjdoppCvsU2huzTdPYoE2ZBkg+aMpnx/mjbUoFnD+f/foxuMJO+7774wefJkzzSsdNS7d2+44YYbGhBkAwMDAwMDA4NmA4vpYx17Y+6Jwb9NkvPy8qBfv36eaVjWGBMI/NMNDAwMDAwMDAwMmhI2biqugYGBgcE/hsWzlsETl7wAY4eN39i7YmBgYLDJY4NbwHEMHz7839ycgYGBQbPC0KtfgTFf/AFfv/wDfFb1xka3JDMwMFgHjMSiycM8QQ0MDAw2E/Qe0IM+u2/XxSXIaGBUW1W7kffMwMDAYNODIckGBgYGGxETR0yFc/teCUOvefVvr+u0246D/81/Bh4ZcZdLkG/Y/y44Iv8M+OTpr/6BvTUwMDBoPjAk2cDAwGAj4rMhX8PC6Uvgg0c/h+qKmrTzTft1JpzZ4zL475lPEvlNh1ZbtIRwRLgHpZIpmDhiGo2P+3biBth7AwMDg80XhiQbGBgYbEQcfO6+0KpjCRx6wX6Qk5+ddr6vX/4Rls5ZDt+9PhJWLV7TqHVHohG47uVLYK+TdoOz7zn5H9xrAwMDg80fhiQbGBgYbERsv/82cPdnN8Kfv8+Bxy56Nm2U+ODz9oUttmwPB52zD7Ts0KLR69/vtIFwy5tXQpd+W6Sdx7ZNApGBgYGBH4YkNyfTcjUYGBhsECQTSbj7xEfgov7XwcIZS+DjJ4fBWb0vhx/e/Gmdy33x3Lcw64958MVz38GyuSvSJuW9OPUxuOaFQf9odbcnLnkeDs44Gd57+LN/bJ0GBgYMpv3dZGF+MQMDA4O/AR75nTd5IYx871eYM2E+fPf6CHj9rvdgyZ/L4K37P1rnOrr370KfSH4r1lbCU5e/CHce8yCsXV7aqH1A7fHnz34Lv3zym2e/1L7h572nPg5HFp4BP30w2rPsD2+NAjtlw49vj4K/inh9AkZ9NAZWLFj1l5c1MDAwaOowJNnAwMAgDb566Qd47MJnYfWShhpgJJ53Hf8QHJx5MnzzqvCA79yvI+x0aH9o37Mt7H3y7nDCdUdCcdtCOPyiA9a5HW7XduMB98AnT30FP388Fl66+S13nlTKhs+GfAPfvj4S5k5eAP85+VH47o2R9N2b930Ejw96Du44+gGY+ftsqCqrJseMY0rOhtkT5sH8qYvgx7dGQU1FLZFijsufOg/677cVnP/f0xrsF+7DzYfemzbp74Ub3oDBxz4EF+94A0XRDQwMDDYn/KvFRAyahmm5FQ7ryanUehdt1PymBr3BZobSFWXw8HlDaDwUDsHlz5zfIHo76qOx4NgORWcPOHMviMaicNVzF0HFmkrIzMmAnIJs6NS3Izx56YtQX5uA4685vMF2MAnv6StepiiyFbKgurwGrHAInJQNX7/yI+x98m6kW/7xrZ/hiUtfpGX67NIDpv0yE0a+Pxo69m4Hr935Ht6EGIqGh84dCpc+cTYsmrGU5h33zST46IkvaDwjOwaZuZlQW10HWTmZNG2fU/agIQhPXvoCrFlaSpHiF6c82uD7ZEI8D5LxJHkx5xXl/c2zbmDQRJFOKsHbuzTtIN7X7uT1N7neNtdmOQqmbf3XYSLJBgYGBgHILcqBDr3aIe+EPrv2CnSOuPSJc2H7A7Yhf2LEmmWlcFbPy+CCra+By3e5maK7E76fTN/9/s0Ed1kknROHT6XIMY7XVtbSeK8du2NYWbaFlkvQESXti+gzHA3DdvtsRfu1zZ59YOlsqWGWOuWF0xfDjLFz4MCz94LdjhoAB5y5J2Rkxei7+po4fPfaCPjyue88x/LHd5NgxLu/NEgaHHjcLrTaPY/bJfAcXfDg6XDFkPPpZeD4Nuev02YO1/3c9a/DFbvdAnMnLVjv+TcwMDDY2DCRZAMDA4MAYFT4ggdOh6k/z4Bt9u4LiXiCpnEccfGBNChUlVZBXXU9jVtSQtF7px7QunMrOPH6I8U8ZdVw/tbXQm1VHQx65Aw4+vJD4JLHz4Gxw8bDb19rkrnrUQPgmCsOhm327Et/r1y4Brbbtx8cc/khsPNh28PA43aGJXOWQ0R6IiP67NoT5k5cAC/c+D/Y68Rd4c4Pr4O6mnp49Ke7af1Dr36VCHmXrTu5y8z6Yy7ccMDdNH5DPEluGAoXP3Y2XPjQGa7vsh/1NfVEzlctEnKUSSOmUdQ7CKuXrIX3HvqUxj95ahhF3A0MDAyaMgxJbi5oRFZtKCaiTQg7Hg/u7uGrjGjC4CQTf3sXDQyaEjCB7s6jHwDbdsj5Ib84F4aMfxBK2hU3iJAumLYYWm1RAp36dITb378WVsxfCXuesCsR0P77bQ2Z2Rnu/In6BNTXivurYm01ySyOuuxgWDp3hSbJFkC7bq1h+bxV0G930cX68PlDwE45FIXd6ZD+8NMHY4hon3jdEdB3154w47c50KpjCyKjSNSz87Ng8PGPwKgPx9D4S9MegdzCHOi5fVcqOKIQy4xSdzDe5ygRQTs4kn7IyDQS5G9fHwFTfpoOp956rLssHjdGy5fOWQE9d+hGemw8jnRo0a4Idjpse5j+65/k22xg0BSRVl74d6QOnvZ3/XqLDS6DNPLIRsOQZAMDA4MAILEtbF0Ia5eVkvtD2aoKWDB1kUuSl8xeRpXycNqLN78Jbbq0gldmPgF7HLOTu44gP+Oi1oVw3r2nwJcvfg8de7Z1p3fu21GMSPni+498Tp+LZy6FDr3aAiohkMxWrKmi5L1wRDR0SOKXzF5OGukR742G3gO6wUnXHQHP3/QmkWgEJuydt9W1UFVaDXsctzP027Un7HHszrR/SOyHjHuA5kFifGThWdC2W2t44ud76BxUllbBg2c9RdvHbaEFnUJVuagQ2LpTCVz30iXrPJ/fvjYCKlZXUHETlIsYGBgYNHUYkmxgYGAQgFhmDF6c+igsmrkEvnl1BEVht92nH5SuLIcbDrgL5k1aSPN1ldIFlBzE6+KQlZsFs8fPg0cueBa23LkHDHrkTPjju8lQ0qEYHr3wOYhmxGDupPmUoPfooOdh/rTFMH3Mn3DKzcdAv917wdRf/vSQ5XekRMEP1AJHIhHYom97eP/Rz93IL+qRF89eRtFknOaAA9HMKG0P1/nbV+Php/dHw/B3fyUijOi2TWf6fOnWt2k5PLYHz3kGbnv7KsjOy4It+nSkl4G+TJuN635kxF0w/vvJsM/JuzfYP4w0f/jYF1C2shxOve04eO661ymh8eVb3yK5iIGBgUFThyHJm0EWLe92SYd03TFcMsElFhyhaCRwPY3q7vkbrhoGBhsTv309AdYsWQv7n7EnbLlTT3f6+O8muQRZJdKdesux0G+PLYkgI5697nUqDoLDtNGzYPYf81xJAwLHkWTGa+PwzgOf0LRJI/5Dn2gZV1tZ50aB/WjZsQXc/9UtEA6H4etXh8MDZz8tGbUD0YwIJOqTULVWRHhpW5YFKelCgUmAnfp0gJlj50B+C+1EsXZ5GXz05DCq6Ieykoq1VTDyvdHw0W7D4OjLDoahfzxALhzL568iRw2UgnTfrgt02rIDDUGY+stMGHrNqzTeol0xVQz86IkvofeA7jDl5xnQb7fef+PXMWi2+DsSgsYs24jtpmvL0rlY8OmQTqaYZh+860z9tTbUSCn+NgxJNjAwMPBhwbRFcPPBgrSifvjISw5yv9vx4O2g3+69YcrPIuI7d9JCeGzUPRDLiJIkA4t6IAlE5BXnwrK5y92GDjW/So+MCIUt0hlztO3aGv4cN4/GMYpbU1nraUTbdGlN2/joya9l9FhYv4EDsNUeveGP76b4jsYil45FM5bA0ZcdBAMO6Q9fPPsdhGNhWLlwNWmpUS5CEo5oGLbo2Y5IMuKZK1+BnQ/tT04fg497GOZMWODu92uznoTWnbS22Q+Un6DrBZL9LltvQXpljFjfe8pj8OUL38OzEx5yo/AGBgYGTRGGJBsYGBj4EJOWaYiJI6YSSf7tqwkUIUbf4j2O2wVWLFxDEotU0qbo6u9fTYBl81bCtF//FKTYAjj1lmPgx7d/hj/HzaV19di+C0wZNdNd9w4HbEuuE+iEodzXairrKBqMxPfQC/ajRLu3H/gU5kwUBHXyTzNoUJKG3OIcqCqtoQIm43+YTmS6ZcdiWLVorbudRTOWwdBx/4UF05bAjQfdJyY6Du1LVVkNpGQhEEz8Q50xj15hRH3INa+BndRRKST2nzz9NVzwgChA8utn42DYi9+TU8d2+/SjaajdfnPhUJKgFLYsoGkhtt51Vdb+9bPfoXx1Jex/xkCKmBsYGBhsDBiSvDHxFzNMuTTCYhIIYN0udpqqV7x7yOI2Vil7vetMJ7HwyDPY/oeysvRktj+8aymdM4aRZBhsCCyfv5K0s7sfsxPkFeU2+B79fcd88QccfcUh0LZLa4qQKunCmM/HwfM3vA6zxs8nF4tXb3/HJbQK370+EsZ9O8kzDaO8P74zCv78Q0SFEWcNPhFuP/ohIsK4ktNvP5aI8//+87E7z7zJi9QaYLejdoQXbn5LEGRFKuW2FZFFnfDYYRPIZQL1x4jiNkWwavFaIcKQ83865FuIxNg9blmweokse+04sPsxA4jkXrPXnZ7jePPej1y5BjphJOJJko2Ur65w53ls0HOwdlkZLJu7Ep6f9BDZzkVjEYqE46CI7zsPfkIvHPucugd02So4ioyOILcf+V93vw46Z5/A+QwM0hbv+KtyCD5/GqemUJYovoOwa+sC5Yi8/Q1lZAau07M/rB1Mi8ZIRxoz/1+dx4BgiokYGBhs9rh27zvhkfOHwoNnP9Pgu1QqRaQM9bJDr3rVLRM9+OMbSP8br0uQBdwh5+0LRW0K4chLD4I2XVq6soMBh24H00fPEjrjkAUtt9COFn/+Ph/AEQ0zlqveemAfyFB2cJYFT176Mrx1v0zMswD6H9DPXQ8Otx39ECXyKQ0zDnnFOZDXAom+5eqJFVTVPoxc4zjaruUV5ZDsYdhLP8JnQ78l8q8i3QqtO7eEU246Bnr270qaYZSJYCU/tf6OvdrR8SNBRqAs47z7T3WX3/WIHcTnkTvQy8JRxWfD2Vte6eqqp/06k0pmzxo3l6oI9tlZa7z9yMrLcp07uG7awMDA4N+GIckGBgabPdDdARHLbNh5hnKJVlJb221b4fKA2PHAbeGKIRdA++5tyHlirxN2hecnPghbDugBx155mCs7+G3YBCrzrIDzezQFNIRg7NcT4aCsU0lGoMjf0nkryJdYyIotGP/9VM++oYzCw2YttF2rg6qyWne9lAuIUSUVWaJPsUyXflvAwBN2gZoqLHAi9MtJKZsgPbOUNK9ctAZevuMdKF9VAcXtiqC2Og5L5qyUeucQnP/fU+Gyp86FrQduScvufvQAKGolJBQIdPxALJi+GCaNnEaRZ4wqYwRflcZWSYtYBdCPZCIJ8XoRbevQoy28MOVReGrMfbDrkTs25uc1MDAw2CAwcot/A38165bB05WTxn3CI3XI1EULROsZMHt9ffAusGIinv2x2Hoien9CbJwvmyqvCNx/T1ZvGglH2mziNBm+BgaNwSPDB8OUn2fCDgeKanBlq8opWowJaVfudgt5EffeqTucfPPRsHTOckqeQ9/gN//zIYSjUTjwbNHlf/vRD8K0X/6kynbn/Ock0usqjXFmbgYlpt369lXw0RPD4J0HPyPvYgUkicRnLSDv4ZKOLcg9w3LJLdNT+AS74XAI8kryiGC7Ug8ccQDmTlzokUw5JKGyIBSLwO/fyyQ+Wh0n24pEt4f5U4S84/evJ8Hpva6g/STrODJmFvO17FgCjw16HnKL8+DYqw6DsV9NgCv3vB2OuewQ+ODxL4RExEL99nS47IlzqKBJh55tKQL98dNfQX7LfPJnbtu5FZzLItCIlYtWw8U73EBOH4//8h8i9h16iig24sWb/weTR06Hy54+z7WqM2i+SNsWsPbCUwCrEc4VXA7hkUnw9SeTwY5PadpZ3l6Hc3P0/HEmL+Tte21t8Dob4Wr1V4t5eeSO/1TBlM0UhiQbGBhs9sACHqrIB2peL935JkoiO+feU8mmDYFJeNftdzdM/XkmnHzT0dBvt15k34a4/oC7oN/uW8KcCfOJDC7+cxms6LcaylZUuPZrIcuCR4cPhlnj58HCGUtEhBhhATlEjPlyvNwbEV1eg3pgz8uo1Bsrgmzp8Wh2BpStqvQelIwEZ2THoL4mrhtXOZ0S7TxkW37HBNWHnrsPPH31q1ISIkh3Jq6vNuESZZJ9HPmA1i+7q3Ng4fTnqUCJ2B0Lqsuqyde5fE0lbNOuL3z72kh4+vKX6fvHR90NfXZpKLPAMtoYwUagbAVJssKaZaXw9v1Cr/3+w5/BDa9d1tif3MDAwOBvw8gtDAwMNmsg0Xvxpv/BbUfcD/MmL4CHz32GCGQynoJVC1a7ZLSgVSGRNARqZ7fesw95FiOWz10F37/xE+mTkQxWrq0iGzMkg0r20KmfqJh36xEPwKiPf6NxpSXe8/hdRM8LySIkcVW6YPykcUtHytjfCFEYxC/hEBNInxwKicFvGcHndcm3/nvIDW+isFp+Z5F2+ey7T4Su23SG7Q/YGtp0a02LrFmmdc/uqsMhaNO5lfrLjVR//ORXMPbL8fDQuUNg+YJV7ibvOuERGP7uL3D9/nfDTQffK4qboMPHgdvAcVcfDodfdADsfdKunm0UtS6AnQ7rT6Wxv/vfSPhs6Df/38vAwMDA4C/DRJL/KayrSydNFwbvNkonOfBILBpjeJ4OfFsZGYFdPw7bFp+HZ/VyqYZHnsG6osI52YFdSI0pgOJx2ODOGOmKmLBuqUZJMkzN+mYHjOq+/V8Rjawqq3at1BAHnrs3HDboACqZ/PZ/P3E1s+fdfwr5Exe1KSLXhiBEMiIUGR3z5QT6e/roOeQ1rBwmOLACX4Nu2SAPtLAF+5+2B3zzxij6s/dOXWHWHwtcL+WSNoWwepmI6KoKe2uWlrvjLtFWcgn5kuB+R/pnOa/jULlt9G6OhENU7Q/1ykNveMsr1cJ7RkaUMdSsiqLgemejbzKSczl7Yat84XwhI8Nd+mHJ6/th0PY3wpqlpfD0lS/L6DvKOybCnifsApFoBC586Ax3cyhRef6GN2Dt8lK45PFz4M4ProNDs06hbWC1QCTTBs0MXErRiLbA43SRxkEiFGvEsmkkDdzBibdTnl1O57DBpRq8zeXuVYFrTC+5DOdqxx67rn69zh6etpJZO/5jRVs2I5hIsoGBwWaNtl1aQY/+XYgM7nz49p5GYvSn42CL3u1hv9MHUtno7tt2huteHkRexyd1uIjKR/fZrRfsc8puOloqk+SScZsI8mm3HO1u671Hv4DyVVXke6zmi2ZlQEZuJrRoXyRWEbYAwjLqqwYZCUZnh+EfjqXlcZj523xPsZF4Iul+51mWDkqvzyXGdKwh1xkDwmG9vBzqahNw+KD9YPSXE+D3b6SNnc/9gkei3aqBKvFPbgoT7spWVkL56irIzMuk+edPXQwWaLcORZCx8MrWe/VxSfGLN70J1+47GGb+PptcSD549HP48a2f4ZtXhhOJvvalS2Dg8bvA2XeftCEuEQMDA4NAmEiygYHBZo1YZgye+f0Boa+1LNjn5D3gjO6XQjKehPlTRdIbllZ+a8EQkgBEM6Lw0ZNfioUdgJULVsF8SkwLiO9YQAlqt719BUz5dRZ8/NTXriZYfG+Rbdpb/1U2b6xCHov4qkhwXbWMFPkiw2JfHKhUrhYsqY4+g3pmFFFm87prY9tEvP3Ql0SY1TSMQKGnMlq9Kb0zIr8oH6rKq8FOiIi0BTbtf68dusIuh28Pr9z5Hp2zusp6+v7N+z6GJbOWecg0wnZs1wpv6LWvkUQDcf1+d0NNhZBh4O+wzd59aRxLg+NgYGBg8G/CkOQNhUa4WKTtKuKz8y6YRhTa8EgpmDQilMe6Y8p1AlCISSMc1k2TDh6JhecLK9BoPdyiWE8vEzZRBOaMwaUa6Rw5PMVQeFeRHSzJ8CybpnCJQfPCk5e+QFXzrnruIrjnsxvhj+8mw9GXH+x+P2H4VLjp4P9AQUk+kUOFNUvLPNd4dkEWOV8g6StuWwT/PXsoeQ+HVTcqS7jzkENGajlBFRFZrwbZM7+Cihir79KVrOPyCj6vm0jIxvnm5Cd6FO98RH+qKEhJjSzZr6K0GvKLc6BidZU8zhB07NUWdjliB/h0yDeC9IvsQ3e9I94fA7lFeXDrm5eD49jw5r0fw+SfpsNF210PL059RJxLCdR8YzQdKwA+PHww9Ny+W1oJzX2nPk7uGZjMh5plg00EjS2C0Yhufd5uepyUuDyDP/PTuUjxdjCRWG8RLo+MgTlKee7IgHsMkaoSia6ISHFRYHvNZYq8TfdIGbmsgskw0rlVODbnHrB+NGOJBYeRWxgYGGz2qC6vhs+GfAPL562Cxy56jhLTjrrsYOJ+yoVi+phZ5JmMxTMqMCGP4CWw+IJWW1kni3aEoBTlAxQtTlGVOTfhzo3eir9jORmCHLNorScKzOUTSkJBn74kPj6NSSbcefjfISnrIGkHtrAsuc+dxyfbCIUglXLg50//IL0xyTIQuN/hMLRoV0jyDHd7lkVOH68O/gDa9RD+0HRuUFKic/moUl//fbeC7ffbBjr16UDT0EP5z3GzYZfDRSESRDKRgl47dof3V75IMguUvQTh21eHk84bS37Pm6wt8AwMDAz+SRiSbGBgsNkjpyAH2qP3rmVRkYtz+lwFp3S+GE7pdDGc1+8aKmRx2AX7wVayWAaXGCC6bi1sybjW14Uig5z88qgv5vbUpzQ5xu8UMfY7Uihi65JjoWtGgioGtWzYra4nBqEzFgRVaY5xHllYhBwsOKlW62Hb85Fl/rfad4yWY7Q3CAtnLNMnw9EVAgceuxM8NnIw/PDWz/DH95Ph9NuOJX9qxFUD74RhL/3griO/RS4cMehAIt6DdrgRrtj9NvKi9mPvk3eHdt3bwIBDtoNOfQXpNjAwMPinYeQWGwppunUa48zA9YW8SyXEDMkhTZarlREL3lYN677hBUd4t29Omoxd3n3Du7SYMwaXT4Rbtgg2YC8q1PtTHw8kFPx4PU4XPm2mO9lzDnnhkkig/MODZtyF1FyQiCcoIjn0mtfI8k1pgNFSTckgFv25lCzJ7vn0BihsqavIHXft4fDj27+Qu8W8KYvYPcplDAH6YZ+cwhsFZtecGyGWhFiu29UFK0cJn6zCXxfEsw0mtXDXqLyX6Svlhyy3oU4C/YnT5d/qdsD1OHr6qsWlDe9Fue+V6JeM46zYSbuureCQc/eBh88fChOHT6fJA4/fWVYSFJgwfArEsqKQkRmDOz64FrbeY0uYMmqG+z39Vj503boTvPrnkw2mG2wCSNeN38j5vHI7J01hESfY3YK3s3xT6RwhssKB7U6IyyQqqwIlFlyayOUTkRItQXRY22Rl6/Y3xKQdnnacFyLh87Bthdn+O2mkjPwYuTNGqlrfl38b1ubRvhqSbGBgsFnizXs/hJdvfQv2OXUP+OHNn2na3ifvBlvu1AN6bt8VRn00Foa/9wsV9UCN7H9OfQLGDpsA0cwYOUp8+MQwcFxnCaYx5uNSfovyAmwHXHlCOh0xb6RlI0KNvtOQFLuV+NSysH5i7Plbwf89RXpVUp/m2w4n0yFRtS/Azc6fgxewDVGUBMeXzlsNNx3+Xyk/EbOMfG+0fjlwHEjUiYY8UZ+Eb18dQSS53+69STeOEpkXbvwfZOdlQfsebeCZK1+Grlt1gjPvOtH7ImJgYGCwAWBIsoGBwWYFJJsLpy+GEe/9Qn+PfO9X19t3m4FbwqEX7E/Te+/UA7LzM+H1uz6gv+dPXeSStQZRqwZJdJLIRkJw08uD4Pt3f4WxwybqeT3FO6AhMeYFReQ8OvbbyCQ9/zTueKH+5p++ansY9bLYNHefHIwvh2XZaxRts2XlvlgYicL5GhBwd+NutFrRajdCrkg0Q2HrAlpfXW096cHzW+TBNnv1gVsPv5++v/Hg/9CLzZ+/zYZfP/0d9j1tD+jYq33Dc2JgYGDwD8KQ5L+BtPXPfV0kHOmM0D1dEzxjl0sj0hUfCdJJ+ubn8gMrX3evQIp1g/CumezsYGkHn87Xz7tpeHcPk214soN5NxOTeYTSnDfejcXPofe8s2VZpnBjirk4aWqPGGx6+N89H8Crd7wjKtGhnzHalTFtMvryPn3FyzD1l5kko1D3Ht5GWIp6yi8zpZ6W3Vr+blqXuFpw39lDtezCX9mOLeuNDKeRYTSGDPv8iRuUsw5aLijarO41RYa5jEmtnralSK2aT0rCMPKNemZ8XnHC7FmJJsSRaJgS84gsY/0RjNJbFvQe0B1ufPUSOKv3lTDi3V+hTaeWcO69p0BmdgZ02WoLkZjnAMydtBBiWTHotGV7aO1W+jPYlNHYZ3C6QlGhDF3oioM7WnjWywpnhFhb5nFtwmtawmZOFJ42N12xKg7muOKRGnLnCiaxsJlsw2IFvPg+cMmlxSWFNTWB972nWAk/Rrb7HkknL3SSpsAKWI10i9qEJRYcJnHPwMBgswJGkRGVa736ukPO3wdGfjgaLtr+Bvj8ue8EQWbAZL3rXhzkJoIJzicJLCeAKprq0R3zZDemNybyi/OyZDzuKqES6LijhTudJ9n5BkzEc8f5d2x6uoEcNfzbCjdIJnQTASkpUB6DOg6X5LPkPjY/P5ZoVhRyi/Ng39MHQlFrSRakTCUSC8PVz15I01UJ8A692onfozZO5b8RWXmZcN59J8Nnla/Dk2PugyFXvgyX7XyTG/03MDAw2BAwkWQDA4PNChc8dAZUV9SSvpgDvY9HfTjWOzMjujWVNXBWn6tg/9P3gIXTlzWchyfmKeLM3Sn8iXyy0pxnPUGRZr+fMTJIj9xCRZnd/9LXrfVLKhAOl17YouIfIiR7knAfMWqkluUyDU+E2RGSEEx+VOWtMaLGk/XUcux4UL6Cw9evjtSSDVnMBGUVRW0K4O6TH6ekSUySfOX2dygxr7BlPqxespZW1a5razjmikNJnzz+hykwa9wcmv7Fc99S6WoDAwODDQFDkv+pGvJpsmbFjPZ666d7pBSebhEmLeDdIh7z82RwkQ7e1cJcLzwSCx4N4/MkWX9MUUHwshxcFsLmsfiya8v0/hfmu+N2RWVgN5MHPGs4qrt7wqwLjJu0h9h6KDs/oPvJYPNE+aoKGPfdZBrHQheLZi4jQjZr3LwG9zEWzkBvZIT6/PmTcZL4rSd67HeqcCUPkhz7CXHQ3+44246KXguhcsP5/dpjrhdW3/vhklMWFXc4AZf3F3WxSokEJ8l+8oxRY5oT7z+fdhm1zu5mGfmW+5qRFYV66VhRXVkLJ3W6GFJx/bxZs7QULhlwE1z21DmQnZ8FNZW1MHfyQli1eA28+9BnNE/LjiWQjCegQ8928PwNb8CiGUtg+/23hqm/zoSTbjiaSLbBRkY6d4M0beg6nS4YQrx95OtlbUEoizk1cXcIXiiErcfTLjDJAW9ngW+Xu0LxNpe3gxzcdYrLGtkzJNRO+IwTuMyDSxx5W8YkjnwfuKNFiDlXcPACJXalbn/teLCUxWbTwUlTnOX/I69obGGZjQhDkg0MDDYrrFq0BlIJ8VBHgqzImiqDzMOwdsqG3MIcqCqrdh/YNZV1DQt4cHDC69EiS90xT/ZLR449y7FIsT9hz11G/+2sixz7x1VSnlrQpz3WxFdGk4nzSqIstcay4opnm5b8G3fdoQQ9jEgzbbSaTy5DZFkuc/w1h8Ebd39E4/HapJhPnrOMrCyoq6qjZZ687BVqLNWLSWZuJgw4eDsq+nLVcxfAg2c9A09d9qJ7KKO/GEc6yuqyGvjPFzc35lIxMDAw2Hia5Pvuuw923HFHyMvLg1atWsFRRx0FM2fO3JCbNDAwaOZIpVJQUJLn/o3R4pYdi2HSiGkkueiza0/3u1adW5J9W1Eb7Xsa6GoRoLX1VqxTBTyUlIHpibn2162EJwqCiEFVxmPaZKkfdiJhcPAzFHI/ab6InAeTg1A+ocb90+U0d3m1Trleb3ERrlv26ZtpPZHA49J6ZUnmud5Znj9VejsjO0aFQgLlIo70RHZ71RwoaCl6nELhEFyz151w8/8uhw9XvQhb7dGHqigiULKRmZPhul303bXXP3UpGRgYNHNs0EjyiBEj4JJLLiGinEwm4eabb4YDDjgApk2bBjk5rDDGpoR0TgnhmG8Crx2//q4m3j3kkVUwJwpPVy+XE3BpBK8XX6AlDZ7oEetOShbqrpzI4tV69hKdjeuBjNDRdllBEIdl6VqsG8iJ6q4uK08fi5OTGfymxruuWLeRw2Ue7BhTrKvI4zbC3S0a1dVj7C02NaxcuApWLlpDpIjfG09e+hKUr66ErNxM6NSvI8wcOxtWLylteB3hOhasdivJEXyRYZfkcbKLkJFmT+SYZvQl4AWsq8H3cn2OJ+LM7eFYBJnpnRtEuDmE6bHkohapLEQ0mUkmbDFdRYvpexU9VsUYbKVTtr2SCr4dvB9x/STlkBKLsC1uKTVvKgVHXbw/tO/WGp6++nWdDCn3Uww6aiyKnFgknaHdSNmwYNpiGHLNq7B0zgo48uID4fjrjoTs3Ew45Px96eXnhDbn07yLZzM9uUHTKxrSyK50r55//fE8LjnwFMzi8zCHJY9kolVJoNQBuNyCS0P4+nnbmqd5jRNm62dyBadYt62qR4bA3SR4O8jB2kRebMsj/UwjC/G2p6lA6UU6V6gQO14uTfE4YPx/0IRkFRuFJH/11Veev1955RWKKI8bNw4GDhy4ITdtYGCwGaNibSWc2/cqijxe/vR5cPigA93vdj58e/ji2e/gmCsPpYgykmQBC4rbF8Os8fMbRDJ779gV2nRrA9/LoiPYuGDp5Opy+cJHDbZfKuGTViBUNFhNc7XJATIMJMa0bsVg1fxqdyVx5uv35T64RfS4pEIHYpmPMWuPFCm2mCTDRloqEwZRUyynUTQax4nwyoIgtCKmbZbLaCkGfuDx4ojY3vFXHQrn3HksvH7vR1pS0kA7zX3tGlYs6bt7L/j65eE0PvXnmUScj7z0ILhyjztg2byVRJjxeihWDhoGBgYGm5Imuby8nD6Li3VZRo76+noaFCoqRBTBwMCgaaCp3KPx2jgNiDIZbUT89OEYGPb899CxVzs45eajIRqLQJ+de8K1+91NlmKrF5dKeYCKXgIUty+CqWPnwNSxc10CS9pWJMiB7hXCEs0TDeY+x35yrLTGat3qezU/Aiv2+bXLiksGOWLQuCS/8k9lZexCVQNU4yEdRUYSTFyXArhIjllUKxQWESILyTLTN6vvMbqMrJkXGZHrFfslnCuIKNPyNrz3xFfw9f9+glhGxC0N7oma03oB8opyoV3XlpDXIg+Wz10JS2Ytg2hGFOrr4lBXVQ+9duwGC2csoSRLdQ1ghBmBeuWjLz0Q+u7eG5ormsr9aWCwueBfI8m2bcOVV14Ju+22G/Tr1y+thnnw4MHQpJGm28jmDhN+d4VwRqAzA+++8WTIRnnGL2sUeZYry9Ll5ufAZA+eAhxM3sAlE6F6ZrpezBwnsvR+hmqYSwZbZ7KVdq4I1bL1ZLPuJLYtnmVsxdn5Yk4XwM8jz0Tm3VssUzjCJSWsceDFSjhsbuTOi5s0xhx+E+ke2pDY0PfovMkLoLB1IRSxaysIJe1bwH+/vR0WTl8CB52zN02L18XhtcHvgW07sGjmUihbWQ6tOpYQserYux3Mxggy+JLLLIC1y8XLu7Jea1Du2OM+4SPI6nuEIsp+TS4bHKVjJvMKRoxdUozT9DbF92obalwfBttJT5lsD2NWkgZGZmkKSSsEeSbSjPpo/Fsl5VkhsQYpwXCr8ykpBhUZsQVZ9sgnJBGXu+XYIqpcsUZ2Y+M5tm0tH3GTAgEqS6th5u9VUNK+iOzfkKzjyw1izoQFNH3wh9fCbUc+QPuDv21+i1x4/9EvYNSHY6BLv46w9Z59obmiSbWhrK30uj+FG9Vdz4t3eApI4fW0vmd4nLUdvE3kzhLMeYm0/gGyQA/YPE6Mtdes3UzlsnbKL0tSk1lxI9eOkRbW84TTuWUlY4HFSqwy9jLEOIaTpsiIx0WKF/xiHINLFp00EgtefMReh3OURwq5rgIkzbmYCGqTp0yZAm+//XbaeW666SaKNqth0SJjFG9g0JSwIe/Rr1/5ES7Y5lo4u9flUFmqq0+lw7Z794MjLj4QYpkxqsp28YCbYb4sELL3SbsSQVZ4+Ifboft2ncUfPKFMvWDKaLAuF82JrpZXeJL3VBKdm8yminTwZDhMeJPJd25iHZJllYSHSXGYUCen4SfN60+0C4EdscCO4qcYaJ6oGixwIpb+pEHMY0fDYlm1zqjeHzWPE5bTKAlQ7rNK7pMJfiLRT54TlfTnH+eabLcoiYqo8yi5LDzSIHou/q6troeS9sWelwL87Ld7L7jzuEcgXpegv3/7agLZwCk3Eyxp3Zxh2lADg00wknzppZfC559/DiNHjoQOHUQ1qyBkZGTQYGBg0DSxIe/RFfNX0SfKHGoqaqnrvbH48IkvYYGsvoakDKOQ2HsVktGfZ699HeZMXOAtLYua4KBIFid8RKIFeXMJnZ8MNnC6EONuRFgRaBUZlpFkLqMgcupGltV8OnJMf1PUV44rWOuW9dIkClyJqDFFkMnnWOqhMeKbcsBBiQQuTDIL5ZNsiQgzySeEvtgBfFGQXug4nypEguFkJd3AyLAsW62j0hitk8fglvqW+mc8Vx6bObHo6qWlnkS+opaFsHLRaqitFL1BrTu1hDMHnwCfPvONe6zHXHUoNGeYNtTAYBMiyfjgu+yyy+Cjjz6C4cOHQ5cuXWCTR5rudt7tsE7wohisy8Ph3UP5ecFdNrx+fQvWHc0kDXaefkCGy7W0IJmvp0fK2PSC4OIdiVx9PNEKTSzsmB4P1+lumnhL5pJRw8zMWTeTXZwTuG+eBB7eHca7vXjGMZdk8G44dg6pIlgQuLsI607y/37r6joy2DA4/rojIJYVgy22bE8E6K9g92N2gu/eGEnjqFed8vNMcriwkzZ89tx3MEwmfAWSS2VlFuA4IUpK82ny+gkqIc2dKnjElQii+J7cJNxIqyC8ihATqVZkWjpSeLTJRNZZsp4izmns1BQbFeoIRVAlGU6RsIO4Le4rSi9ISaEkGLbSLQuC7OB9g+Mh6dYTlgRX5vDRF9hdrLqP/Ul9IaVllvulbnmV7EfnRicAYgGRSCQMyURSEGgHoHRlOQ3qTWDouP9CTkE2ac9xvi136gHturSm1c78bTbcecyD0KlPB7jn85sg0tjns8EGaSsdriDkL6oM4Vyf4xVvFzxFR5hsgEv4uKsDl+fxZzmXGXBXqGzuqqTXn2JtViqDFStJBstE4vnRwHnsqF5nuE6fl2iFboNSWayISR07Lta+O67XuxcWP3fMdcoj7+TzVOv2F3uRAtvfNHIJy/O7csko25ZPVtFoOWMTRGRDSyzefPNN+OSTT8grefny5TS9oKAAsnhFHAMDg2aPrJxMOOmGo/5fy3bo3satmFfUphD2P30g6ZrP2/paWDhjqdRE+qzaWDe/S4Rd8hugP/Zbt7n6Yq+8QOiOFfH1JuYREXS/04RaRZ0FYRa1PTzLu+SYRZfpb9+JcMmnIKVEJxVhpiCxctTQkWOaJ4WkWOqVkafaiiBLRws8tJQtIu8R1BSLxDsHk/uUbRxCFSQJqOrpiRgTaWaJf0i43WMS5/eoyw+E7974mZLzaipqdNTfsqCgJJ+q8SFadmgB1zx/kec0jHj3F+pNwAF9mTv37fj/uq4MDAyaNzYoSR4yZAh97rXXXp7pL7/8Mpx11lkbctMGBgabaCEQJEVZuX/tJbpN19awy+Hbw7TRs6BsVSV88sw3RJQVd0PCXLpK6FW7bNMJ5kntMoJ0xrLUsnadSEOQXemEX3uLERlvhFjNq6LKqP1VJFpFiZEM66izJYKtjCgHJ/H57IXdA2GjPFgrpRNEkhVZRo9ksmvDT0maKXosospEYDHKnMLDkNIJKacgAq0kGJjch+NIiinKjol8eNwqIs2S+pAcU9QYEwIVUdbEV8hJdALgJ898BwnUHmMQrDgPqtaK308l86EOHX/H+VMWwgnXHeGR5xx07r4wedQMSuTDngkDAwODJim32KTwFw3P03UbieWd4O4hllHr6Rbh3UNcYsElGZm6O8Nm2bU8+zKZx+rRs+zXeKGenspkGamR4Cxai3UVUeMvUduSyTCqWd35OO9a0tMTjOyE65gspCTHp5kUiCxnhufc+J0bsLNiJR6z9+Ur9Tzc/JwVZ/EcI++e83cHpcnM3pS7jZo6EvEEXLzDDbBw2mK45e2rYOBxu9D0qb/MhO/fGAmHnL8fdN+uoWQLk7VeuvVt6L1TDxhwSH94/OIXob4mDlcOvBPi9QnY49idYNTHv9O8rTuXQGZOzBtBRnALN4yx+gmyS4iZ57EbOWaV9FT0Vybh0ffuJybr6QixiDgjp1TOF+o79qn4rYzmKmLtAjmlzd0tpJ0bTuLBXNcjWZFmQZRJn4zjKa3Rphw7/A7lEyGH3ELoe9Qjg9IvK52F0CKjVpmiwW6IGIm11C2rqDIm67FCJmr/PfvpKkUcSKADDumYHajiiZyWqMx30Q43uc9pLFWdU5ADFzxwGrTv3ga26N0envz13v/nlWjwT7eh6dpKLnPjcrkGrk288FaeliM6XB7AXI887S8rXOZkBcsVuFtFfWv9spWxXCeC2rHsQFkFlxeG6/Ux17Vg0gvmXMHbu5r2ep3Ran2M8ZZ6H2JsHxJFuj0NMZeMCHeLcli7mcOCDRXsHuLuGfXJ9csUQ6wNTKThdT7OlM6dpFE86/9RfGZDwQi1DAwMmgRQQ6zcKSb8ONUlyfee8hisXLgapv46E9p2bQO/fzMRzrnnZDjmikPo+8+e/Ra+fOF7Gn/sp7vhzDuPJ+/kT4eIhK6JI6eLDVgAKxauocF1slAkmGuQ03kge3TGMqHMLTPNtMfkXCEaeRE11hIM9++wV4Nsk7uFJMFKbqEizdjWqO25iXzsxHnec5lOmTm1qYQ5N1IsbJC1dXJYTKcGPIX7ipZwkiiT5ALJriDNKvpLUotQWESRgckv6FsZUaaIsdQaezTKqGGWyX6KKEti4+qTlaWcR1eiPJjlvHiubRsmDp9Gfxe3KYQrnjlvndfZmC//gGEvfAdHXHIw9N93q0ZfnwYGBs0P/5oFnIGBgcG6UNKuGC554hzY7/SBcNINR7rT0QsXUbqyAn7++DeKEr9485vu9227tqLPcCQET1z6ItmBDXr4dOi69RY0vXJttVeKEA4HE+QgiQW3OaNpsqIekjPsqSG7NEmGyUZNWq+FQ2ArKzdlxaZs3JRFG9q5RS1IRcU0JMruZywEqRh+ymkREPPh32p+/rdcDw1smrt+mhcgRYNYLpWBtqsWpNR2pU0cLUOkXa1D287RMcnjwmMXxy2OP9AeTkXdfc4gZP/mqWLILPUQLglm3tByfiTIJR2LoaBlnpzNgozsGIQjYShpVwSDj3sYxn07Ke119vhFz9F19NRlL/6DV6+BgcHmCBNJbgRCrFs+XY10f3cS77YIcZcG3vXPC2FU6C4Vp0h3J1kV2tXBkYkqiBTLxsXGViHMun4S+Wy/mWl5eRc9PcxkEhnlep/rC/U64/l62Zylep7aFiwDl/XAZK3R89fn63myhMOXmJ/1oPBuo0Q7LauIlGpZhSW1iQ0ylKuY9ILLM1jXXYhJMmynOvD380syGtNV5JFhcCuxZl5w5O/gqEsPbjDt1neuhv/d8wG8Nvh9d1px20JyMOi81Rbw1GUv07RU0oG5kxbSUFVRDXVUBIcX45DRWVUYQyEU4G7RQIOs/YJ1cp72PHa1x8rrmDTIOnosIsXybySlSlqhHC5QnSCnoRJBRJW17IL+ZpFkHk12g8bMPMKtsqc+XUs3ea+SEkJGj8NyGjpeoAZZSI3BxulUjlquRxbaE5poIaxQ+mLLkZ/4t+xadqUVJOWQOmf5G6hPcstQFnUqiS8chi0HdIXl81aBnUpBudSSq8p/+G/NElE5UQF9k7GMOLqYrJi/kuz+Xpv1hPs9/ua/fz2Bkv12PWpH+OSpr2DXI3f8f12jzRaN6AL3PhODY3AWt6hbhySTcgXUbKzYlsNlHFymyKUb5bo9tfKYqwNrB1O5rOAXL/bBxqt6FAa6VSQz9L7VF7G2nz1XYhW63UjksPkLmGSxissa2bljj6d4YVGgM0asLB4oF/E827jEgreP7Fxxly3RK6Q2rNdvM4ljusIwfkcozps4GiVZbEJtqCHJBgYGTRrodYwOBQr7nzEQKlZXwaU73wIDDt4WQrxqlXyIf/I0Si0CKuMpMswaYPc7f0Ien8ar6Cl5BZFclownC2+IwiCaKBMRVuQZx9UnEmL620eY6TtNlP0aZdf9gvZ7HSfOLTutNcpIAFz5BblYSOJMWmSLCDMl66UsCNlackHSYOHOBiGyj0MyzCrzoU45KYIDgkupZD2uLZWlrJnVm/i9pKZZ1cm2bZiBJcJVXosiz6pEtoTf4zqvOBeWzVlBq8Akzm9eG0E9Djsd0h9679gVHr3wOZrv8mfOhy9q/kdFaAwMDAzWBSO3MDAwaPLY4YBt6BPdCq55YRCsWryG/sZo46Mj7oLTbz8OttpjS70Ar/CmiBZN91u4MVKM8Nu8+SUWTF7gRpDdqnUoR9CRY5IqhJWEQSTJKqlECgcll5DjNC2GCULCV9UdUBKBy+MgJRNqnD6jKMVgA0kzAOwMtoyaP6a3JdaP+yX3Tcku1DZpmvgOx8Uxyki4Oi5XgiETFN3KfFKfrQiya5e3Dks9+s3UC4tYzutRLX8v9WagJkfDcNcn17tFRjr0aAun3XYsPHL+UFi7rAyGvfgDzPxdkG7EjDF/GoJsYGDQKJhIMoNHMsH6O9IZZju85jnrDmqwLp51y6MfvCgGm9/TDZTNpBEVdXrRdroLKc4kDbFKva91rBsoUsu7ddh+8t3JZd1bXMPJekcqO+h5Inp3IMkUEDY7F7yLqq4kGthtlM0dLVhUsL6tlqPEVtUEd40ldXebxTNzuVzCnzUdJLHwd+/wv9N0/XCDfIO/h9rqOnj9znchv0UenHD9kW6lPIWClvlEmJbPXwWDdrgBVi1aA9vs3RcufuRMuOPYhynSnJEVQHxcS7cAJwvmaOFGl/0eyK6ThZRLqNLMrEyzKufsJuQx0kiEOSKixuJ7maQnE/LEfNLBgiQXyuVCRpO5tIJ9enySmczC1V7IcW/SnnK1EJ8oq3AwkqwizBghxvGUdLnAeDFGkpMoT8EHE0aUQ2BT8pys1OdqKNTvhdILfC+RThhSzkHuBO5vihtmvwW5YsjEP15kxB2VjiEqmmxZkJWbCfH6OKScFNgpGx48ewhc99JF8OLNb8GCaYvhwv7XQ4t2xZTwiTj+msOp4Ej5ynI4+z+n/L2LtbkijVsFj+in60r3PCtZEScu4QhxGR0tpNcbSldXgU13cpj0Io+5HvFiHFEmD8jU4/VFum2Ks3Ywa5Vumyo76Xky1wS3CfgyqlDWjUkaUsFtLpc41jGJY4SdoqyViUA3qur2+thjlfrZl7m4XM/fURdlClXpBtsqZ8W5+G/GpIkOk4CG2Hm2KyuD5Yf+YiKbiROUIckGBgYbHV+//CO89/BnNL7lLj2J8I76aCxEMyKU0FdZWk1d77VVdeSPi8Rp8k/T4dFBz7tSjPq6OCOMqG31keD1Wb010CTryKcbFVURZIqackKsiTKRYBVZxSgtrk9GZV09svxU8guhUVZEWaoOlNxCfkeHxSUYdBy+TwWuR5ZyC1eLrDyQlXEFkWNhR4cSCzoFtiUqTksZRigpXdtIaqEbfZRdoB2csG3D8yK9lElCIcgv6pdRs+y6WkhfZnLLUOdbVfBD8oUV/pTvsnK4UCQ5ZEFR63zIyorC0jna8rGwdQHsfOj2MPrzP4gkYwT5wDP3hM79OsLWe/aFDj3bwXUvXQLjvp0I953yOBx0zj6w/xl7/qPXsIGBweYHQ5INDAw2Onr07wrhaJgihO17tIWLtr0OyldXuN/f8cG15Hf80wdjRBQUHReSNswcO0drWy2LKqvNn7rIE0FGiACkT2fsFuoI0iFLgiwdHNyEPZa0R/IDRpTR75iS9RhJtmUkmUixiiJLIuxGlYk0y2iyIsrKGg25oxz3EGRGjoNSn9zEPWUDp1zaZCQZB1FZT6ybkvVQMoyRZTx8jBLj9BTGk0VYWpxKGWEWxfrEdtAVREaUSauM42gph9X9VHIekmkVGVTnW2mMFQGWn6L8Nm5AHgxfznGgdEUFlLMeJ/xdT7r+CBo/556TaLbPn/0OvnzhBzj3vlOg29ad3HlfuuUt+PP3OTBn4nxDkg0MDNYLQ5LTdQ+wriWPuwWrR+5xR/B1LXBHBY+sgmWVesCWD0ttHU1mjhbxNsxEnTUSXLpQ1UavP8V6r2pa6fmjrKelvpDJG1idk3BdGuU6l2cw2UaYdQ/VtdDjsQq9fiQJ7mpYd3ptK1b4g20rZzFzrkDLKQlrmdCjEnjmckFecFZvOkcSlu3boOAIM6lfpyyjCZqfb4rou2sveG/5CxCJRag8dfsebQRJRs4ZCUNx2yI4664TyCMZK/IddNbeMOO32bBs7iqKLisuNX/aEvotcP61K8p1lrw/gY+oXhonC/5JBFVGjmUlPIhIqzelR5bkmMhzRBFjpd2FgE8ts6C/FQFmkWROlBvILqS5sZ8si4nspDq+anuytofrZCE/kSDb+DcVEZGfJLMQ4WfxcoFSC1lCBPkrLidPJY3TTtqyMJ+4F0Sinww/Y0A4HBLZ8xg1TvmiySqZTzqPyGLZ7u/Fi4wgbLWc/HvqL7OgS98toPt2neHsu08iizcsMtNb2gcihlz1ClXns8IW2QwaNAJpnmvpHH/SOUF5uuV5G8jlh/5kWr48lyzy5dlz2mJSw2R73QjZMebCxLbHJRb8vkGLRIW6kkjgPDWtuPtTcDtIL8cSMaZQ4O3y8gF633J1EVDKH9D7Ew10hcpZGizDqG/HZIordRtqMxlnOGkH8xNWgIz/Hg6X2uSy4iy1XHOZvt3jjiZODWvX0y7QdNpTQ5INDAyaBHhZ4Qe/vwMWzlgCmTkZVCjiqoF3QFZ+FkWZ50yYT8VDHvrhDrh237vdZbjz0drlZV7tJJdSKBujBsl88uHM/JHd5DwpCVBV81z9MbN3Q6KM4yJqrP4WDRgtg9IL5W4R0URYaJYVefYSY0GeRVTXtYVT2gl/UREOSYZR6kDEU6kWSGohXCyIEIdlTQ8kukk5jQXUbYwk07aEjlrkzZEXBYkpKKqPJhZh/BQxZ5TFkJYZX2yTKRFNpp8hJOz3qCiJPDjSK7NCI0R6cWfZ70PHI8kzL0wiX3bwuy9f/B6+fuVHeGvBMyTVeWT4nVDUuhCm/fonXLT9DbDdPv3gwye+pHnxRezSJ879Jy5ZAwODzRyGJBsYGDQJTBk1nRKtOm7ZHkZ9OJb8bkd+MAYSsmxqdVk1EWREpz4doHWnEui7a0+YPWE+5BbmuMQYkZmbAXXV0reTd+eTPplLKwLcLOTAq+S5zhY+HbKIGIe0dEK5RCDhdV0jmLQCSaGKILvT9bi2fxPlpUW1PUd+quixirCu2wLO9R+WlfaEBZyOIpOuGLXHFNUVhfaoCp8y+3BPjYgky9cLuXYhw8D1YHAOd5cKpoANISTDGFWSunA6/UlpDae6ioiZs2IiCh5bOCm5YFIMTxIfg4g+A9RU1lJi55qlpXDdSxfDF89/R9cMDnnFOVC5poqs4r59fQTsf7qRWxgYGKwbzYck8y4h3l3DsnTt2tpgFwvWReNxreDd+NlMXoGIsq4cXl+eNQhOcU5gF5TNsnR5QZBkNuuyYj0QqUw9PcpcLOIFVmCXEHe3qO7AZCWsdytSybpa+CFnsy431rZlL2b7xg+Xe5MzOYdTyUzdWTGUrLV2cDeZLFBAy3YoccfDWE1NTecG6Wkya7kLiaeriBut+xw0+PXCDdM91wK7voggGPwlLJu7Aq7e6w6f962XQKnkux79u8CsP+bB6d2vgH1O3hWmjZkFsewYhCJh0Q2P3aRYSMQjR+AEmOliPW4WGA71uluQgwXzQeb2b9rRQkaLXWs0ESn2kGUWPfaQYv43kWJJiOlvjCBL4S9FkSVxllFkfWzMykJZXjBXC1GdRERnSQKB+4FEmaK4YruUqIfbQF2yVJuQjEJuB6PGIUd6WdDv4MgK1UJcQZvF+x6PE//AiLqUYFARE0m0la6b/ibZhYwqq/ub2fYJ/2XpiqGix34NMzhQ0r4YaitqoLqiFh48ZwgRZMS8yQtg+/22hqk/zxSL2hb03qknWcA9cOZTsMOB20JRqwKYOGIqVK6tgt2OGuAtxNCMkLZ4UmO6utPJMPgsXKbItsWLgfgdooB959QxZ4YsXeADmEMFB5dVJPJZ8Y5yvR/JTCvQ0aKmjV5Pi2l6PdVt2PyFwbIKul/dnWDTo0zC0ZK1LfV6ekUPPT1zpZ4eqeUFSphcpJC1S0wiwh2u6ltrXhIrT1N8hEsTmRMUlyMCbzdrNE9yeAERLpHw/eYeiYVvvr/iKLUx0HxIsoGBQZMFJu2FwyFIIjNTCCAsKJPAqLF60A5/bzQxtOVzV2qfXZUUpiKVrraYJe01WDEvJqJkFmJdpP93rd9YUh5L0OME2dUfM3KsyLIg1IwkuxIMQY7xU0SQRXhWyS3EvkgNhWpjZIOsUxPFX24zKqPHNIpEmQZJmnG/pMyC9MGSHIty0WJRUkQofi4y9CBkSaIsdc4qUo2kXvB5S0aWcRvibzwIPE5ISDs4Yt1K6oIb9flYu5/M0y4geqywegmSYvHdtNGz4JoXB8G4ryfAhB+nUi8DXjP48lVVVg0zxs6m+dp1bwO5hdmUwHft3nfStBtfvxz2PXWPxlyuBgYGzQSmmIiBgcFGR6uOJTB0/INw3v2nQjRTRDAymEe4ApKd8T9Mdf9uvYXuVXAjxKp8cWCynkSQm4VbMET5HyPzE8tqD2SfzZtK1FPJekiAI4wgu8U65BD1fqYiDtgxBxw1RL2fELPFkJECK5oCK2bTEIolIRRNic8MHFJiwL9jKfc7K4bL2bSsWpeDQ9QGwG1EHbBxiOEn7pcjSLwsUqL2n8i9LIjikn4i+VpiQi8G6ly5UhUReSdgFF69hDB7Prfkd1r5C/vN3N/ar1nWo3126gE/fTiGCLLCabcd544POKQ/vDDlEYjGopQUqsrsRpiHroGBgUHziiSz8L2/xnhwl3ki0EibFxDhDhaernc/8nRCEiRYYQsmIbBzdddSKkt3c4Tier+TxeHAbNZklh4v7avnj5ZbgVm3Ne30PJGqUKCUItWNOWxU6P2JtdDdXvHl+vireunjiq7Rl1Ut67riDVkG6x6KVrGupXq9P0lmLp9RqiOMGcu1xMLO8xnQB3XjsWxcj2sFl9fwDF9/N1Ka39bbtRicyd2Uuo2aOjr16UjDMVceCnXV9ZCRnQH3nPQYjP7sd+K9xW0KyS9ZaZQxooy2cO89/Lm3b5MTZI8WOcgPmRFkmZzGI85k+ebKKmRFPUxI41FkKbnwSCxcTbKOIhPZjPiix1EVRZaRY/yMoJZX/G2F9CcNmDRHEWThRUyHS4eMfsTib6UeJoWFjclyIoEPS0ZjRNlJqUiyBZAMiUgryi6U8x15IgsZhapsjSBZhZJYkPRCRnkdi3aXIsgq9iu1WLRLFLmWqX6U3Id2cNLlQm0B90nJLvhvR7oPSZTp75AoGoS/C95/vogzFqF5+8FPITs/myQUGC3e49idoWX7YujQsy207dIKbn7zClg6ZwWMfO9Xihw/NeY+qCqthu323QqaK/5W4QfebvpKhQfJFz3uFnwfuCzRL2dsqd0qHO7AwFyeuITAfQkjSQNzf9pCtxfJDLZsGqemsq68fdTTk9n6OMN1ej2JEua2wdqyenaOUnl6HjvbCmw364u4bINLE4NfDD0yRcYNLDJbl+NMBmizAESoUGsxrdVr9UqzWQEXJrHgsphQgV7W5rINfwES5hCVzi1MZPEGXEfG3cLAwKC5At0O3rj7fVgyexlc8MDpUNymiCJ8OCDu+ug6uGrPO2DKqBnQaosSOPryg2HRzKWw5c49of8+/eDFW98WK/KTXwV3nEUkgwqHkJyCSSokOVbT3cioIsVKi4wRZFVyWkksKPJqBRJk8Z2M1kYcGkh/HEbSqAkyEeIwJrsh8bOJGAuCbEu5tM0OVdFiAdG+WGATQU7R37YdJnKLbhW0bylhwEy6ZxxPisIqeNy251RpsqygtMio2yfyjYQZNc1oJYcclwqK4PZl8Fe9jJBG2fWG09pklxQHJFn6XO08YPNGMyOQqIlT9b3v3vgJHv7xdgiHQtCxVzv46uUf4bGLn6eGt2231lSS+qqBt1ES38j3f4XnJz3yT1zKBgYGmyEMSTYwMNhowOp5r935Lo236dQKzrr7pAbzDP7wWvj9m0nke/vMVa8Qmeu/39ZQV1MP2+7VF0Z/ORESsieg9RYtoN/uvWHkR79DEsvRKj0yT9bjVfeUjpmSbry6ZDeSrEixq1fWtm5Kf+xNwAsgyFH1t58gy08ax4pzghyH1GDZEMFplgPhkE0D6oIxHhuWGmXO/QVpFX8TKXZCkMJPOwUpOwSpsEWfSJKRRNvJkNQ+oyOFcP5Q/ssUTSYNsk7Oc1jEGNdPfxApFgNFlLFCn9Q8I4FG72iMWKtwtajuJyPERJ7ZywovWe0eFxYo8WnVeQIfRvDqEp6/r95zMOxyWH+q2Djy/dHiBcBx4LevJsDpXS8lgoyoreSG8AYGBgZeGJKcBp465NzdIl0xEKW7C5JVsG4LhxcZYRo43lWUzGLZv7zXgXUt1RexIh1sl/LnsC6eIj09xXpOrBa66yNZwGXpTJ4RYfKGVlp6kEzqfdtyq4Xu+PQ57fU8rZlUoYrtXDYze69jelMuNWQNZNYa5mjBTm+yQEspOEJJ9jtV6q4fq4ilIjNHCy6XcVhWb4NupPKK9XYhKV2jH8gLmjNGvPcrrFywCo689CCK4PnRtmsr8j5G67dt9+kXuI78Fnmwz8m7wTevjXCn/fesZ8SI6saU579Dj7Zw1u3Hwk8f/84qtWFFOBZhlt32oqKeTwOL9JNrkOUnsIIhYrogg64XskuURWSZyy104p7Q/RJBVuQ4KpklEuKIHJAMhwUhjoTFgOZq+KlIMg0oL6BiH97zheRVySJwyZRtQcoJQTKFnxFIpmxIhTBJMgR2KAyppHCeIKKsXibkTYkEGSPGKiEPOSzZvbGB5rFVVFk8L8V5cqQ0Ax8oaBcnosV0PpEskxOGjCaT1CJNLwAlK0qnDFaFz2MH5w83WwC/fv4HZEk5FsowsEIjYs2yUsgpyIH62jq46NEzadqwF7+HhdOXwCm3HOPx6272aIx0LM30cG5uoHOUR9qhXEvITcH7fPC0tVwOl8UKQtUnAttQO8aKfRQEt9kJ9jOnWJMSYk1BdQfWBuH9qrarEk9xPa31ArFc3fbFWuh9rq3R+4y3u7vdOr1viXZcE6mn17FCWlnLWbvPJItVbXW7nFlmB7aJqWzNacLKHtPn5AQtGGng0y29D/bKVXo6k8iE8r33jcc9Ko0DCh8PZWgpjFNf12Tki4YkGxgYbBAsmLYI7jlRdmVbFhx/zeEN5snKzYKXpj9GUd9YRpSifcNe/IGIzAnXHkGFIRQwyarbdl0gvzgPJgzXyXtcazDu+ylwRr/rPK4WHlsvt7oe8+h15RS+aDJLHCOCjJ9ci4yEN+QlyNzBgmuQ/RFkJ2KL6DEm1WEEOSKJcTgFkYgNkZANURwPpYgYR5Ewy0hyWJJk/MQIszgSW4ouNEHGCDJOQzKMQyKMhDkFyRCORyCcsiCJsg0kyhgxTmJJaNEoCQ8LKY+Qaw/hOVDEGL+WsoqwlFtYTHaBIM0zvhzIqn+qEAj9GiqCrD7JDYNV4pO6Y52EKUUlrt1dw2gyBxFox4GCFnlw5p3Hw8u3vAXJuG7Q0S7u8qfOhd2P2omkPo+cP5SmxzKjcPY9J/+Nq97AwGBzgiHJBgYGGwS5RblUMQ+T8LDwx7pw8yH3kn/tKbccCy/f+g5NQ/5TtqoSdjtqR9hu737wxGUvUfd4j+27QK8duxHpWThzGSQU+SH7MiRiMuGL65NVmWm1Ys8nJ8/SgQEJr8Wix0xqQcSYJLYyYU8SZKEt9lbPE1Fk5RjBCHIUZQgpIsehiEM9N5FwCqKRFEQxehxKQoxIsiDLUUsQ5XAoBREVSbaQcLrUWAZThQWciiIjaU2g5MIOQ9IJQTwVgkQoDFHbhkQoAnEKqDuQgDCgNDmVkD7MENZEWUkreAVhJb/A4C4SY4yMo8aZPgXHRVJN1s3Shxn1z9TjgudYdrGoaDC9yHgiV1yrLH2hlSyDE2h3XrWsjDjLn3b5/FUw9OpX3d8ZX7RSKMPBJOeVovhMYasCSgotXVEG3bbrDHef8DDM/G0OJfj12aXX/+PKNzAw2FzQbEhyOveJ9MbpTPLAi0nwLnbePeTrKvIUE+EFRLisgskGeDYuR21LPX9NCe+K1KNJpuBI5DET9WKWaYuaQInMTD19qzbL3PFlNXnueEFMd3e0ytKF5+NM27GgUnfNdN5ipZ6+nGUi57LzW6f3IVHIutlKmZF7az17tJoZpOvJkCjQ5zZ7gd43m7mCWK0YKauqCTZFZ5IMv4MFl1/YrKsvXZGSfyxTfDNCi7ZF8MqfT0JVaRW5VgRh9oR5pEue+OMU+vujx7+ArLwsqKuqha9eGg4rF62GT4d8DR+veRn2PG5n+PqV4bD7UTvCyTccRfPfeeJj1K2OIIJMI9w6jGWheb5jumPpiUxEGKES9+hTkmFWfpqcKbjMQpJi+pv0ykyHjH97JBaSIMsIcjhquwQ5FkFCnIBYJAWxUIpIcsxC0pyCKJFjJM0OfSKxjUiSrJQ+giYLWQRSZ5RY4JBALbITpmhyPUaR7QjUp8IUlbasMIRCEYpIJ+TxKztlPCgeUSaNMZFd+QKAEmMZKXajy4q/kgbYW1abiDJJJ5A8Y7KkqpUtzivJMVSCn+tcwX86KefgLzlq43JaJBaGZF3cNbygZeTtiON5RTlw1l0nwtplpXDsVYfR9Jz8bHhl1pNQU1EL8bo43H286P347vWRhiSn6d72FNviLhRMdsYlFt5lWSEL7qDg6xFw2uhnuFVWGSjR4O1pvIVeV3VbvX+RGidQfsCLdNS0Y1IKlP2oTTHHJ8jUx9mydbnebkq3HXifKnTI1/PQS6baVlLvW4ItO39hK3c8XMPcMFgbWlei50/k6nVmiPo5Yn7WbsZbs/aO/TaRjHBg2xrCIkwKldpFiktGQ4UFgXILm7enPn7E2Q13CPPIWpuoE1SzIckGBgYbhyjjEITl81fCJTveSI4E2flZRFIq1tZA7wHdKUmvtlq+qDkAifoEtO7UktrRYS/+SFKMb9/4ySXIgQVCFBo4Xvh0bmw+akiU1pUIntYgU6QYl5XyCkGepQSDR495RNmNHvMIMhLkFBHkSCQJ0YgNMfwMJ4kgZ4aTkEEkOQGxUJIiyEiaUXqBEeWwlSKpBZJkFEZQ7Fi+EFBc2RGqBUzaS8oBiXHCsSCKnymMSoehLoXLo+wC9cJCuoFNQhIignui3RSFzUV0mF4McD5KBJSV+3C6lKmQU4aSnJDzhTgPRI7RI5nCyyK6LCw0ZBSZRM4B1nxUjU9G+ImI4XES23YJlajcF4aMjAj02L4zlK+sgIXTl9KOtencEk6+4Uh48eY3oUIm6p1841Fw6Pn7eX52JMYo9clqm0n7ffB5+8KMsbPgEN98BgYGzQ+GJBsYGGwUzBgzy/XDPO324+HFm9+irvBpv/5J0zJzM+CIQQfAjgdvR+4W7z+KfshAZYdrq+rg0Ytf9KwPSVhwNNkXQaa/ffO4nzLiYrGIspxme+QXPlmFX2YhE/VcD2TSH0uCHFEEWcgrkCBnRFBekYRMlyTj3wnIQOKM0WT8G3XJgOOSKKvEPSm5ULEwIbcIESnGz7gTgVQoAXE7DPVWCuJWEsJ2hEh2GIm2csnwKB4iQtNMhBe/RomEo63dItruTfgx64Eq9yl3C1lGW0WXcToZWJCRBbeA4w4kzPEisMqejB4zoNPJ1F9mgZ0UUTf8dvm8VTDz97lw8aNnwf1nPAWhcAhGvD+aLOJufftKaNetDUwb/Sdct+9g0i5jMRtMEr36uYv+icvbwMBgM8DmTZLT1Aj3dIezeTwOBWmyMT0ZnL4CFB6wdXHzcy4J4NGtOK/DzlwsMGiiEGW9HzVt9Xhd53iwUwTfH+bQ0aOlzk6tSGjJR05Ur6d7np5nxNLu7vhpXce6431ytVRjUkUHd3y+rbvJollatpBkkoZQJZOasH2OCZlggyIp1e30+clZps97okh3A4WrWaYzP4e5zMVi2crA7iDH19XjMImG57rwXFOp9U83CMSKBavg3lMfJ+LVf/+tYdy3EylJryYhumgxsnz0ZQdT1zjinH7XQHV5LZWv7rNrT3hV2sZ5EFClzZO058opeLU9WV1PkTMlvVCaZLxk3aiyrPSsvufR5IBIsrKAE1plQZTR4g0dLMKKIEdTRIQzI0kix5mRBGSGE5AZElHkDBVVJqKcgJiMJJP0ghFkoUSWcgk3imxBCvAzDHE7BPFQFGJ2CurtGGmSa6S2WXhZcK9l4TpBemqMAlNUWHq/RZTMQpNgIsX+aDI5XMicPHKxwHnQkxlfNnC7rAQ4OVw4IqqsSlD7deMq6Y/4swWRzAgka8XzivYNjzmltcq4VGZuJnTq055KUJ81+Hh45Y73xAuYA3DXCY/AEz/fA1N+mg7x2jisWryG/Lf77trM5RWNBC8CwaWMHukFLyAifc/9lRPtCi2jCLXWcgNappx137PCUhypHN6OcGckvR/1+Xp71W2Y6wUzPeISiwRzpYgWanllSYHeH7xvFFpm6+m5vA3N0W3N2LWd3PHtiha74yOX67a1TTutmbDb6v1ZtVrLIKFArz9eHktD5fSyucuCi4zUlbCCIEl9DmPVzGGDc53auuDfoow5P2Uz3SfJL5hEJg08xUTSFWQzxUQMDAyaEypLq6jaGSZRYfLdhB+nuPZch110IGy//9aw+9EDPMsccOZAeG3wB5BKpmDSyOk0tOnWGpbPXy1mUMlfclyO6L95Ah+zg3OlgsoTWZIwt/oeSTAkAZSk2Y0ac3LsH5cRZEEa0ckCo9yYpJeCMGmPhcRCEeSsiIgaZ0XiRJKzkSBLokyE2UKdchKiRI5FRJmiwC5JllFw6YaWIm0yRpNDOCfUW2FIOCmot6IQwUiyFSPPijBRaqqBR1ZuSFiFhZylq/ThusmpQibnReV2UkJ7jW4WdNwsmuxG2t2XCEmCMWotq/0J72Lpm+xP1FO/Fe2eL0HPCmkPbAxru5pkSeSRIOdlQlFJPgy5+nVPQ6tcL+ZMWADjv58CB527DyyasQRatCuGLXfu8c9f7AYGBps0DEk2MDD4V/HIBUNh1AdjoLBVPtz85pVw7ymPQdnKCojGInDm4OMhrzgP3rzvI4rwoW8t6kVXLlxDhFpYGQtmW1SSB937d4VRH/0WqD12u/L1BK8EwxNR5vNI1qmiyVxewcg0EWipU26gR3ajyKzMNDpZkO8xRpGlBplHkcNxyKYochyy5CdGkenTErILHJAcR62k9EnGXUeyLCBy54T9G1LgBCbsORbErAjUOUrTHKZqvuiOod4ZxLJCR+x6KxMhDsmosk1RYAt1wu6LgCSxKomvQTRZkWMpXZFEmaQdiij7JS+u1AJ/G1F+20OeiQMzX2SZ8IfEF3si6mUkrK6yHpZVrlTVql0cecmBMOLdX6mnoteA7pBTkA1XvzCI5BqPD3qO/JQveeIciKTzwzcwMGhW2LyfBB7JBKy3ewisaGA3QIhn42ayroYoM8WuYloInC+DdYWwrv8Q8+pM5bD1YuOj1sVMwsu6B0sveAERbLzceWp1d1K4SHfN9Ou6KDC79ri2MvEJAKbVtHPHO2bqGu5nd/tVH7Klj7mGObAXRHUm8x49Z7vjK+t0l82sJbo7LcWcN8JLWVccAz/ezFI7cDrvYnOY6bqdpfctvHS1XrakWC/MfzOe1euTYtjVWnoR4nKZejtNDfo02Mim6E0FmfK3yc7Lgu322QpenPYY/PbVeOi/79ZQ2LIAxnw5Hl6W5aYzsjLg5JuOgh7bddFECqdnZ8AJ1x4Go7+aRH97osg8MQ+JFd7vAfrkQE9kVl1PJ+8prbKUBhGBlrILNl0TZhFBpgIdSI7J+swhmzT0QsaiIBhJRh0yDSSrSEAWRpSJIGuSnGUliSBjVBk/UWaB9yBJLogkK4IsIsrShVg4W6BHstQkJ5wkRJwIxMkZIypIspxbVNITwg2yjXMSkKIkPRGNJh0xlbMWZJ8KhEhiTEFgdexKa6ysj9W5Uq5s8qVCuVy4Lzz0vZRcsKi460zC5ceuFZwkyowv1+M9rCLKMvqMJHiH/beCke+NhoKWeXD+f0+DSx47m76bM3E+nNXzMsgtyoGDz90Xvnz+e5peUJIfWPmx2SPN8ytdQQg+D3+eWqy73irURZsg7n0GexyjpNYckSrO0ZtgbauNiaYStS10Gx/P57JGdjjsEZzMYX9k6PHWRVpOUBPX+5Md0/t6arsx7nhhWLcpyxN6Y5PCutjWTyu6ueOnddLLvrFgp0AJR2mGljFQT4yEU6uPMRwPLoxSU6J/s4xy5vLBaE8ykzl5tdLSjugy7c7h5LF9wOqWAWggr0hzvXjki2m5WNNpKzdvkmxgYNAkkEwk4ZOnvoKcwhy4YugFsMexO7vd21gcZN9TBoJt25BK2TD+h8nug/Tl298mctOhl3iBw4hhOBqF+toEvH73xzDweN2w+O3AOKn2SDDcDDfBshyKWkpyrOZVtmqc8HH9sSw+4mqVfRIMcpAkaYEYyO4NfY8pimzLRLwUEWSUVwhSjJ+CJGfjeKgeMi2cnoIMK0HRYyTI5JlMiXuy+p4+Mi23sJQeOQQxlFk4YYg6KahzhMRCuWJInulWziM3DFsUICGinbLBDtuQJB9o4fSBL/TqpUBIJ3gkmb0w4LSI1CdL2YrI9tPyFiGfYBFlqqznc7vw6ZSFZEKTYfx71yO3h/E/TCWHFDGTYOb4N15feN1gb8XimUuh69ZCHzpx+FSoLq+hgeQbEnFWxc3AwKB5w5BkAwODDQ70nB16jSjq8MWz30B+SR5ss1cf93tMnLp0p5uhtqoWaqtEl7kiyo8NegGimSKCL8iUWKZN15Yw+svxNE4RSCWfCNIiq79VlNHndiELy7kEWXkjKz0CUUquUaYyzlqG4TpjyMixkBwIAo3RH0rYC8lIMpJd9EAOCycL5WKBcossIseCINOnlXCjyDgQUQbplQyy6p7evEgslJHhBMoupBY56oSh3klByBZlrwUUSUbvZ6FdTmF1vlAYkuGkKEASQelFCGys1icJvyD/FkDSR4zlORTnRfofq09cxo3IizLWQnPsS7b06I/9BUU4aVZRaKFL/vnTPwKdMFDSc8TFB8DCGUtgi97toHM/4dddXxuH376eCHkt8mCXw7aHHQ/aljy5C0vy4LTbjvsHr3wDA4NNGZHm4mjhCfeny6Lkq2Hz2CyzM8y7gJikwsrz1i3nbhJ2tp4vxbrruYuFHQ0FujpEq4JrzcdbcAN3Pb19d+1Kkc0ybTl65Ot5Fse1/ODAwsnu+A8Vfd3xWZUt3fHCmJZVbJunJRyXtPrBHX9h9UB3fFGV7nJy1rB+INRpBhxLuJ6ZpbNelhpmop61Rk/PrGPnIdAuCsApKVyvKb3/93OYxCKcq7v3OOzGdA81oW6jjYnWnVsKThMOw4yxQo4zdtgE2Puk3WgcK5ytXV4WbM1iWZCoT4puf4x4JpJwxu3HwVGXHgjHtB8kIpG+7QW6WhDJwiIWoly153tG1DRh5lFk/bf4lPOyedR8whFD6pGx5DRFkW2v1AJJMlXTk3ILKy6jxkkixiizEH9jNBkjzimIgUjgw0hyRBJkuisoqM2eNyiTsABijgVJsCFObsjS7s1znyBJRnmFBalwCFDljKWrM5wkJfwl7BREU2FIhW0akCi7lnYYHcYoMYsgA5dcMAkGylLop6NTpl4ypDbZ1YcryYX0Tna9nxv8sK6bhdslICPR7nRJqm98/RL4+aPf4O0HPoW7P7meNO33nPwYadz3OXl3+P3riTR7y44lcPWet5P9IMossFS6wXraUO5cwbvM08jOPD8lK9QE3PXC73VeraULTqviwPmS2azYVkvWRqzV+1rL2g66NyUSuUy6gNe0ApMv9i7UDhWo81fAey9oeu+obpxahnXjvaxYt0EdYlrKmB3SbhJdCvSydSl9XtoX6+figmWsUBeThTiof5Kw2eUbZmYVHDlL6wO5isUaXYfp8i3W0+KsWhPYblr13o2RL3qQ4ROXSKZxCPNeU0ZuYWBgsJkDtcdUfa+sGm49/H4oXV4Grw9+F4Ze/Qocc+WhcPTlh8BhF+5HCVTogzzhx6liQep+F6Nb9G4PC6cvofG3H/oMvnrtJ1lfwhc5ZsHkBtXZwmkiyHIeFS3W05iulkWMlUaZa5Y5aVYRV9TZUiSZSkpjFFkUBaFy00SOkSTbJKlAuQVGjcWnjCoTQZaRZJAE2XIgKgmyVIG4u0uRYcuhOhxotYYNOPopk6cyShOwyp6M4lKCH4jEPiLFaBUXwgGlIEK/HA+lKJkNX27Iwo2iyMhOdCU9tQOu5Rs/D0qm4p4faTXHpTAqWU+N2wF2fsz1QsSSvU4YmjjrRv/+M4a4OsfcgmxyUVkwTdhvDTh4O+rJwL+xrHkohOcCIJbpq5xqYGDQrGFIsoGBwb8CLN6AwEpoSJLRlxaBFdFOvP4ouOKZ8+nviSOmwtRf/oRYZpT0oioaj4RGyC1CEK9NUPd4g+gTj94Hyi0EiEZR9hpzuEBIwk0kTOX+cXs4SQR5ZNkfSaaEPSq/LCQGlLSHpBblFkiUiSCLAiH4GQslhAcyVdQT0eIMGpAcC4KM0WRytyCphXhwk0zYzX0T1JEKicjjQ9KXkAVHkCDjIDLnML6MUowQpKwEJEOoRY5Awk6SlzIS40QYJSFh8lNOpLBkdQqsECPK9Ik2btrdAzfoRpQx0Q/nITIrosLKtIKKiSjeS+4UMmHPoz9WpNenS3Z/R0aKpS5Z0mVPsh+6WKAm+svnvyMyHIlFoGX7Ythqjy1Jr/z4xS/Auw9+Cte9NAgKWuaT7MLAwMCgeZDkNN3bHsPzDCYBCIhG0DzcDoh3D9UHyxkIJboUb6gumaarSG87xQIYzEACQmwTNjeBYN1D/DBXlevuj4IcLY3o1LI00KGintlk8Gzc84t/csfLCvV+/lTT0x1fm9QyhHF12ix9m9yF7vjiWr3OpW21hCHOiomEMvT5qXX0ichcobtconpRsJn7B+/HS7F69NFSfewecCP0uvrAGvTrgsO6lEJZul/LZutK655iQNhmr34wc+xssOU91mqLEu/3e/aFj9e+DKM+GgP3nfaUb2lfUh4nwTxpT/2dDmo+t4ue0S71FSNozI3YjYzS/B4phnC08ESXkSCHNEHGTyTJVGI65FD1PLwfMywbYkiGpfQiRkPKJcxYRCRmOYB3B5JkTOQPgyUDtUpuIoginlaKJlMEGQAfIcq7QkSaZVKfFacEv4QVJg9mGhxMEIwI9wzaX3TDwE98n7BJu8yj6vylwS2S54u2uy8R7NxR9J+S+HjY3xdhTve70e/MeLIqYe2uQP/uNZXiOZCVmwmJRBL2O30gRY0v7H89VJeK7nzUu//8yW+QqItDj/5doLhNcBl1Awh2t2Dd4aFc3f44tfoZ7PBiFDn6uWllsvaXz4NgEgWPCwIvFMVu8WiN/qOukBUJ4+o39piPVun1pNrrbVMFSolVzJ2pOEPLPw4pElIdxPiazu74qXlaSjG1Rrc1VxfLnjEAeK1iC3e8LKVdI4piupGrZgU+4inmPsEki05UH1i8WI/nLGAuT4xX8KJdVe31enIX+c672haXS9TWBTuS8HaPcynaKUZeeOGumjSFuoR4rNHFarw7u+FkjZs3STYwMGhSSKVS8OtnvxNBRo3xabceB6fcfEyD+bDs9HPXv5FeZ6wsGcQXOiLs8QtzF0y/QwHfiSgy1xyzktV+Mu3XMHskGUJugZ9IMFWiHRYDQbmEsnOjcVkoBJPyMLqcEXKINCs3ixjgAIDvhxFJkCMWkmT856WGInkP1cZiwEitkDg4YOM/KwUpSEKKIsiymp9KCqSiJaL0NQ4RSepDIRZJRtZB50eSXOl/7EbSVZEWds4IrhWc2lf5AkLk2mJSC/kdfwniRUb4yececPx6IPE6VugTy9dW1tGkr178QcszHIBu23amxL5Hzx9K0394cxQcd/Xh6a8XAwODZgVDkg0MDP413HH0g7Bg6iKIxLDaXgpev+t9iiQfdPY+MOuPufDkpS9C1206Q7dtO5E2WUsn1Bqkk64nYCyI4LrkFZ7Is88WThE6NwpKUU+xHT8h9miSGUF2o8pMwyw2JQp+4CdFkikqi6RZFAUR8gskxxgpxmp66F6BHsg44DRbSyzUQAQZk/EwgmxBKCBZ2XakzZulvJDR3xhoXbZlA9Jk1CArchyDKCUSRmyxj8qLmZL9KKIsSvES6ecabLdASMPzIKLWPNFRR+1d8ozniQWHKGmP5CrML5m//Lg2cOzlRWk3Aom0LKntg0r0a92phAhyKGwJucXB2zXqOjYwMGgeiDSXDNy0s/syMgOX5RILDt5VkO3LiGZZm06u7naxY+FA83PeVVTZXjd6CdazwbuNwhV6PanWulujDTM/L8rQ3V3VSd3dcUqJLg4ypkYbm++YNd8d/zOhu8BHV+n68ocWTND7aevjGpipt3XV0t3d8ZU1urvq0O66y+mjiboxStXqyzBaFexOEorr8xOuY1IY1tXHz08qR3f9RFbpcwIpNhMrEtNAOuNxrtC/EzoruPvEuoHSOqbw/sBm7G6h8Ofvc+izqHUhrFq0hgjOw+c9C6sWrYWZ4+bA9DGzaWjbrbVnuX679SKdcgPwctS+6Q3+5tFn75euXzCf5ndX4N/rctb6b02oVaU4Tb4VUSbpBXkbi4gyJdSBSMZT5JTKTisXC5ruBBJkrJyHWmTxTzpHIAkW2YzaxUK6YYhqfLgOByKOTCK0Iu42SWIhByTF5J6hSL0bFRfH4Wqu5Xlyo+nMCs6NNoOazmzeGpBmbvcW+BOJ73gXsOfHkbpkdcySONPqkkEkGeDwSw6EuZPEM89OOXD1c4Og05YdgtffXMFewHjXeLpubyehu8lt1t3OpWlcygjVaWRxCOZXbRfo5UO1+hkcL2QuG2yXUpnsmc1ZTppOJTulj7MgrzpQYnFQ0RR3vG9shTveJqKLbrxS0S6wPZ0U1/vZNaYdM6bVtw8s4FXPtJXoXa6Q313LJstLtVTDKdXtO1NB6ucU0pgq1obG9X2UzNPbipXq38xmvCXEvcPZb8yfp46/fePfMYmFp91l11Haa6oxksUN2Lam8UszMDAw+Odx69tXweEXHQD3fHYj7HasLgQy7KUfoKh1gft3ZSnaJ+knPGpKDzl/3wbr81Ta49M8Xe+cmPkkGzSP/K8BsfZ9Bk1nSXweaYErtwAZzZUlpCmyLIqA4HeCnKIsQMsxSANMlm3ClQKbFDEgMUa3Ck2Q8f+whUOYIso44LQIyjDUvGo+luwnCLAg6iTfkBX8iJQjkUffC9oXTZDVsM5j95wHmUrHzolHvuL+PupvR+gg/b+T57cKePkJmt/ytp3tuuuXLiTSSIo/ffprmPbLLJqGOuVOfQ1BNjAw2Agk+emnn4bOnTtDZmYm7LTTTjB27Nh/Y7MGBgZNDFsP7AOXP3M+dN26M+y4/zZucQ+MKv/0wRiKVuFQXYaRBx2JqFhTCV++8GMDxkpenD6CRFIJRZTdaEZAsqcbnWwYR6b1+Hvu5WdgOiDvMPDkomnLMyTC4m8xTVW9I3JM1fMEmSZrNyKzzObN5aOoQxaRY1Qj4wsBfSrpBZFjOUgphiDVSIRFop8byVaaZUzjk8RdFBJUZF1KReS+qgre6cix51fwkGFpAdfgXAaE9VBbzqUVaoOhgBcfNZ+ygZNTt9unr45Yy4j+0tkroHXnVnJxFmVM2XDjG5fBc5MehrZdvL0XBgYGBhtcbvHOO+/A1VdfDUOHDiWC/Nhjj8GBBx4IM2fOhFatxENrQ8GTIZlOesG6k0Is09bhmZlcOsGM0D0FKHym2HaJjooBz/6tZ931cX36q9uFA2usp+s24qbokNTHsHiFzsxu3VmbmZ/e+hd3/HtWKOSMotHu+ATW9cNr0N/dSnczfVWbHWiW/nJFF3f89jbfu+OPRPZwx6uY5COWq88vFhFQCC/UvxPrfYL6Qi5N0eP1LZhLRr0+z5krdfeOk6O7jawK1u3DC8P4Gmy7vCLwughF03QVpTHRNwgGRvP67NYLdj58Bxjz5R8U8UNi7M121hHgP8fNE39TCWmmTfXPT8vI5Yhw+b9oyIcFDxPlkxuEjTkfS9NV6/kuINCJM2iyqZUIghQrra8iwiqlTSfbabtgyyW+QoushBb+XRbTkCaLVD1FoQXp5koI2rbr3SGck5USWxF4VdjDjSKzn8Z9H+HH7g/WKws49R2tR1Tjs/z+1LQ9pkFWyyjdcRDUdCnFmDV+ntCV+LDV7r1h1aLVRIy79+8Ms/8Q3eEfPzkMCkry4Za3r4Is9qww8LlYYFWYAKQrLBJmTheNkixytyGfE5HD72U2msxg7XcyWJJnt7QC3aLiRWyehN7veCISWDQkL6ylIWPrtEPF1hnCux2xbaZ2dpqf0AVQMAlXoWtUFwfJYcVE3lmre9bWxrVmok/uMnd86mpho4nIL9RtWc1ifa5S7BJmRlNQ3Vqfq4xyfU4yKpjbF5MjWnG9z6kSrfsML2cNc1T/rk4lq3yG5zpbcwWOFCvUlVba04gCNZsNSX7kkUfg/PPPh7PPPpv+RrL8xRdfwEsvvQQ33njjht68gYFBE8QzV75M5CQ7P8cjJ8vMjkFdDWvJVHKd1JyKPzgRYyWL1XewLrLrY8j0t1wHb4h9wUqvfYTvYIK4W1AU2jNJuCsIcqqJKhFqGnR01h08NU7kS0Ja5s63pTTLeneUClvJQBDq6ImoS2KrVCj6dLNKeJ6IuS+JMei42W9GBNkNBOtxL1RPgD8hT54M1QEgewxIk2zbUFUqG2FfIt/4H6aStWB9TT0kEyl4+/6PqbjNd6+PoO9vPugeuP61y0xE2cDA4N+RW8TjcRg3bhzst99+eoOhEP396686eUyhvr4eKioqPIOBgUHTwT91j876Q0aGwYE2XXSP0i1vXgEHnLUn7H/GQCr8QOQnZFFhEY5INAIFJSxSxfyOPUTNTeSSVmEBmlZB7tLYibnr0Z8uaQxWaWhXBt+ymgbLTVmYsgdufLnBqlh41uX+7leBrDIQQfOKfZHHy3PdpFzE5b++Y9RR3gZpjvxQvfAFhhuSZ0X49d41XKvV8Pfksg2/FIO2Kc6uerlCMv7D27/Auf2uhhdu/B9c/NhZsPOh/SGWJXqUpvw8E95/+DPYlGHaUAODTSiSvHr1avJFbd3a+2aOf8+YMaPB/Pfddx8MHjx4g+xL2pryrKuIF4TwzMPXw7OrmTOGxbN3cb6Ifv9wokwbwaWRLMuX11ivK2LNBZufd6PYhUzeEdH7lJGljzMzrMen1HZ0x9H6SeHb6t7u+NqkJh1HF/zhjq9h+7ltTHepzEno7pQa5lr+xJpd3fGiiJZtjFujE2Myonr/K9foriU7T28rc40++Bh71tuYaRRgeJ7MCQfWmrdqWWSSlZ3lv4u1XO8nIpSfG5yNnabWfIhJN7gDxubmaPFP3aNXPXchfD7kG9jzhF2g3+5bwoyxsyESDUP37brAToduD7Ztw/B3fnVlEFhhLxwLgy1/1mQiCTWV9TrC7CO/DRwvPOFQCdftQpEsHo32Rl/9y3nIIOeMvk/BzdF1wcu7UdSg5rHd+ZA0C9GDUCeLWdQVJMalpZl0chCShfVHk92gq2d3cTtC4OGhvrKMoKrcJ06TinezU+r+t76N+1hy0NtAwEuFHg/47QLdS5gWXe4hVQSU9+/a5WXwwk3/g6q1VfD9m6PgsqfOhU+HfA1xfD6gZjsShh0O3LQr7m3INtTjHJXG2SdVVR0oU7O4eRB3N/AUGWG2DLQCJsOr0vM5+PIsEa3V+1RbzPaDFZwKs02kWL2LJGtDW7XUDhXdi1a74/Upva2P12zvjh/b4jd3/Lc6XUwkL6Q3NrOurTt+a4nmOy9VaEcpJa9CtM/QMowy1raWMruKsjW6XQqzIlypYtbmMPmiNU+fk9xVTB5oBTtHJbOZ00U1K5xVWx8skeHuUly+iNtg/MhhbWI6JyjO0XiBmo2NJuVucdNNN0F5ebk7LFq0aGPvkoGBwQa4R9Fq65InziGCjOg9oDsRZN7jdPrtx+kFsKhaIgWd+rR3CVMCbYl4ZBFUuTkeWW4MiwvmbX7Cq5zdghZQUltP9JWIsSTISvWL5NMRTSM2A0IBLJTAgstJMoq1MHC6JNf4HRFkGRkW4/qfd9fRExm9kFGP7PgGsV1cn1IfCy8NQZhTjtgXtV0lBHEj2a6mgr9Q6HOS9mz7Oa3/hHvYN48kyC+Dfucg8DcR+YKlSDIiMysD8opzoW3XViS72Ofk3anH4sCz9oZPK16HXQ7fIdBXeVOBaUMNDDYhklxSUgLhcBhWrNCeggj8u00bLUBXyMjIgPz8fM9gYGDQdPB371HsWVo4Ywl9rg9HXXoQhGWPDEaGcVgwdXF6QuXavKUjvcgM7QZSCtfWOIi4ceLLprtb9YdnVfiVLaOIMhFdJySJskyRc0Jyl0T0GD1R8bskEVVFYhWhRvIryk2TjZkkwzRI2kxjkiArsoxjKZwfD5/2Qabo0XbC9En7g9vGaDZ9HwLHCcsIMot2+0Lbbh4eP+YgjukNYacTZsgfxP/7BlTeCwhjiyp6TrAER+KAMwdCxepKcru4+dD74dAL9odhdW/BtS9eDLGMKEz+aTocUXAGXLjttbBktk6Y2lRg2lADg01IbhGLxWD77beH77//Ho466iiaht2o+Pell14K/ybS1f/m4+H8PL0AuumreVgXEpdVWDx7k2XiIkIs+YhnifKuIl5YJGt1MtDVobKD7v6oacfkGaV6PakivWwkrLspKhJ6nyZWaqlDXkR3CWUyeUaXDG1yvmVUL/tuVQu9XZY2vjypHTz2yZnujr+weqA7/ssqHR2sZYbq1VWs34uKEsjRhG7R6rVRh+ecRErtwOzmrNWsT4/JMGyWsR6qZjXok4yo+ZwQHJaBG8rRv7NdGVxTfnOWWPyTuP+0J2D4O7/AnifsSp7JfiDR+eTpr4lEHXbh/tB3t14weeR0igYGOlkoaAuI9UYX3WmMVCHRU6WKqYwzShnEN4wok5BYk2d0n2tA/rRcgSKwtvhE4kmEmMioJKl2CJJhJL8hSFAUNyTHLYjhuBWCJBJZ9C52hL9xStq3IQkWumbpXOFwtbAm0EiokzQ/fuK2APAKTsptqcgxSrBEBDmkiTqRajGNSDx9qmOUx+nRZMhTrIiz7/w0UEyw38XznWLk7jlPX0CE/66UuCdJNEonUsqJyN1nG5bOXQGZORlQV11PlR/9GPPFOKirqoO5kxbAWT0vhzs+uBZ2P1q7Dmy24FUbG/H84u2mlcHcf1iXO5/Oi0mE/IW30oEVGnFaFbrjqRy9jRQryBWrZE4crP2OVut5EqyJt+J6nlUrdFtWVaf3u3uJll50Llzjjs+Jtw4s/MHlFrvkCA9uRIWtj2WbTH3d/VgletIQO2TPdccrmbbyzyq9rQ7t9D4sXqbdM6x6xlcyWPvITnVNK9ZeMeZXPE23XbFVWk7pcEmNw+413ovDeU+NrzAMl1VwuUWaojRpJYscG6Ft3eDuFmj/duaZZ8IOO+wAAwYMIAu46upq1+3CwMCg+QDJh/jU1ajKV1fAVXveCbWVtdC+V1uYNHwaTV+zrBQmjdAvX4GQZJa06fSiI5PAVOTYo1PVJNqrklXzhTzaZJJPuMQYiTOSUeVMYXki0LQEkkIVqKbwryDUFEW2ldRCRpPtEKTC+BmGZAijuWEiykkkq04YkpIgJ9Dn2JGexe6+2kQGcTNhIsfeqoNIjhFJsIkgJx0cMBcBybGIVuO2kBgnnBDE5acY5L7YYU2YbST0SPIl+U9Hjn1RdU9AWO67S6DZ79cggq+sPHiDyBtmrj/G312cYM86UZpz2i3HwFv//QSSGKSQjTzaDN731S3wym1vw4Fn7dXgcjp80IGkj584XFQHnTdpYfMgyQYGBhuHJJ944omwatUquP3222H58uWw7bbbwldffdUgmc/AwGDzx03/uwK+fXUE7H/mnu60scMmwKIZwmt07XJddvWdBz4lxlTYugBK2hUTgR75vixExCzbPEl6SKZUFIkn9Pk1rSqCrIITVMNCEOEGbmNEwrQDgyDPLB+NkWVBJLVrBMkVbBGJxcixIJ6SqKYsiIcUQcXPMBFWHMJOWJSlRoJLqmFRXETwR7F+2xIeyOSarA7LjSRjFFiQ5JQkyDjEHQvicntiWxFI0BCFhB0R02y5j3YEkrjPSPCJ5EtPcxVFdgKkKh5dtrK58+wc042zk8xfavjv5P4IPCKMchP5w7FEPaUlbt+9Lex3ym6wx1E7wut3f+BeC3id9NqxG9xy6P1QU1ED+S3yYOXC1bDNXn2h324igbl1p5bw0A93wlcv/whL/lwKx1x5yPouaQMDg80YG5wkI1Ba8W/LK9ZtVK0n86QOu6oq0PUilBcsw/Bk5vJIBm0uJ1BikcrRXTmRCr18VQdWfISDbY67PSSY+QJkawlAbqbOKI3brHvFU/JKo9rW+9MjU2vHJ7FiKh0juovn99qu7vh3q7QzRu+OS91xbMwVCmL6GIsydHdM6ZQSd9zaQk/PWKu7XEJMDcGSfSGZrU9KjBmhh+r1uM3Oc7icdQNFmOxm+Sq9D7xIiA82k9vw68jmBWcY+LXjqTtvZBjQfdsuNGCUGDWfk0ZMg8LWuisVywX7ZRWtOraA+4fdDNn5WTDyg7HccoG+J4cLJZeRVm4UDw70RPbLJvykTHruUsKXjAaHNTH2RFCVnEBGkGlelIVQpFVFXAXBRKJJ0gUinSFIYqQ2hCQ0SSQ17iTofs2wBHGNOTbEHVIISxosCo8oAoxyCrzPRKEQ7ZesSDJ+iigyRo+RHAPEwYI6JwT1TpgG3A4O9TRg9DgGiVSMotlEkGl/ldwiJMg+FpSg41TnwBLHDgHyCi6odgl1w5cUPY1FnD2yDpaMKZ+zbgET+UckIwyJWpHIuXr5WnjnwU/h9bvfh8JW+VC2sgL2PH5nuPjRM+G8ra4hgoz49bPfqcojWsChf3KUPacPOntvaFb4G88mm0spuMNBMhnc9c7uS4c5SvFCFoQi3SZa+Nuq7RXpLv5otX6+xvP0NpKsCJen6WOPhMwVev46JmVMsMIiVQl9PNnMgooXAeHOTrPrdfBvlxxtyTSTFShZmNQyieKI5hx/1GqXjIKIPqdlcX28a6t0Q1jcQi+7tlI/QzOX6m0xYwzIWKaPMZnB3D/qg2WHnudnKk0OSYK5hvmet04tb3eZzJS5TXmuF34N8nEuBdpcSbKBgUHzxczf51CRkE59hA3hvCkL4eLtb4BUMknP1YzsGNz6zpVwz4mP0fce/bGstvfEpS9SIl+rDsWwctFar0euH9zODUlVmgbab/9GOmQpo1BzBTpaSDKoSCBK6jFa687rWkioSLKQWBDhtEOQsEMUrY2piG4qDHErCgkrBfVOCiJOkohryEnKwiIYQUbCYbsEGT/xqCI8uqx2j5wrxD7hUkh2kSQLYhyGOidKOso6OwL1NGD0OCqIMs5r42cE4imxr0ToJdl3iTGeJxZVdvXZ/NwwrbGyu7TSJfyRbEIRYbagK5fxEShaTk53HEjUakJWXx2X0WoHDj1vH9K2Z2TFIBQOQYeebWHa6kqar/UWJbBk9gpIJVPwzgMfw2m3ajeV2ePnQbwuDn126ZX+wjYwMNjs0aQs4AwMDDYv/PbVeLh0wI1wwdbXEDlGrFywinyOFV+NZkSh5/a6hyIUCUFBy3zouk0n6NCjLRUSGf7uaLhy4J2weslaHVlch4wi7Xc8mknTxIfSFCtYGNHmmmNJeonsMSLszqPIoYoqyygyRZSRYKaEDhkJpyKeqPtFiYOIJCvCGoE6Owq19BmDOidCpFZ8YgQ4BHVEei2odwDq1GCzgQixGHBejB7XOhEa6hyxzhpaZwxqkTA7GWK7KbH9OO5HSpHjCKRSgtxTEqI8JkiJaLI6XnV+uMOHhUxdnTv+8kDRevkZFMD0JVUG/bbCKxqCE2/ZfBNGTIMvX/gejml5Lhzb6jw4556ToEu/jtCibRGcOfgE6NG/MyX4vT74PVeugQT54h2uhyt2uxXGDhuf/uI2MDDY7BFpNpm5vAY9z8zlUSa2Hl5MwuGyCm6EzrqF/d31NitaEapjThdZrHiJrPSEyF6puy0SueHA8agIgIjprBvFXqW7Y1ayvqUVtrb/6dZOSwsqWPfN2SWj3PERrLDI3Fothzi35U/u+LK47gI7uo1uQEZW6mX/YEVD8jP0uSut0V1FqUzdkGVN1NPjutfIYwKfoaWqunvXlwQUqmcuIrzRRD9dBfY78d+Mm53Td3z5mP7NrAh3scgIrEfvKVyzkbuKNjYq14ouQdt2KDEPsePB28HFj51NPscderWDbtt0Ji1oSftiIsF20oarhl4Aux6xA81/eMFZ7voKWuRB6cryRvgfK9Gwtzuf+bJpA+KQJs9CZoHTlOYWp6nEPR411Yl8PHKM84rEPQznKqKMBNmBZMqCSFgQTozSxkJh0iRH7DBEU1GogxRELBvCUoscUlIwzCekPUdHihREnRS5XIRZCWuSVMsjx6ebsnhLSJs31CFjdLqWIsYYRc6AGoomZ0BtShBzIukpjCAjURYkPolkGQl+KgSOOh6X/Iposj+C7L5UyC5bd5o8/e736pzj4P4m+ufjP6VYWYC+XMkv+CJMpzz1lz8pEY/OSzIFNZV10LZra5g3ZRH898xnYNcjt4dZ4+ZCblEO1NXUQ1ZOJtTXxt1N1DE3nGYPLlnkbR+Xl/FnH3umhgq0ZNGpZzI13v6y4iM0X3ZGYOGnaKn+TWwmkalrocdzl7KehUK9bE07vd8ptunoGr1sXntdWCQ3qvf1o4W60EyvIu0E1Tt3uTt+QN4Ud7wrays+quoSKHEsDOt2YzJzoBo1TwcN2pfoIiMJJtuoXaTPabqnYYifanxrlshaydrKsF46mc+cSuqY8xdzdeLSC6cmuACbHx6elYaLNUry8xddWP4JbB4k2cDAoElir5N2g5rKWpgzYT4lTiERQbeBtctKoVPfjrDrETvSfBhZLlutNXwt2mn/P/xONcxEkNM5XKiueTG3ZE6MUCnypMiZJFYks0BCqhQe0g5OTKeFJSEECElVAI+e+qPIGEG1sOFBwp0SjRASTDssCGcyFIFE2IF624YIDSmoI3IchbBFZUVEshuRdynXsEKQCiUgBmFIQgISqEl2REIfOl9wqEIhlCRILhYYqcaIsiLIMUmQxSdqKmtTMahLaaJcnwpDIhmGRAplImFNklMWWKkQWDTOjt8XURYvF4oMi5cPQay1zZ78lXR1E5GNp38vNc3TE9CwF0B8FdRbIKoxphI2RLNi0HfnHjDg4O0oSfSXT3+HaEYEfnp/NC2G3sk4vef23aDvrr3gP1/cTAR5j2N3/n9c9QYGBpsLDEk2MDDYYMDKeVN/mQnfvT4SPn/2W8jIzoCDz90HPn5yGH2PhAQje0hmcvOzoWxVBex3+kDotYMu3XrVsxfAuw99CotmyuIOGOVnsuMGIMKLDC3UsNgIL0FN83FSpUi0Sr4TIVqSXuCncnQgHzcpN3A4MZZ/4ziSaVeWIBwuUkSQQ5AIhyCSCkHcCkMEI8lWRESFLRtCViaEaKOyQh8OlgV2CN0mQpC0khC10P1CRJ0pkuySS3GsFEUmkqyt3eJEkFGugVIOJMhRqEllQDUS5GSUoskk8UhGiSDHk1HSSusoMibshQCSXpkFvjToxEWvd7QnqsyIsSK/gjC7pf20G0aQRzKXWlCEXQ54Ldi28Eh2X5IcCIVQ4sKSseqS0KlvBwiHQ3DUZQfDwON2hjuOfgDmTlwA+S1yYb/T9/RUfEQybWBgYNBsSLInrJ9uuhWcdesw5wpuhM4LTjiVOtOU5uPG2sxwO8zWa5do6UJGhZ6/rq+OokWr2T6xLq5M7XEOlSWs+2Kl7i6xi3QXSX6sPjBj96nl+7rjrTO1nuOPVSLJCjEgT3cDdWYbXpHQ+z9scZ9AiUVmWHfrVNTqfaMu7ACDd35cuUuDu1N45nK0nGU9e1xE9HionhWASQQXkrGYpIK+Y5nZDjO1987Ergsm3fC4XhhHC8jK1dc/lgJGoowobFUA+SXix8fiD0//dh/MHj8fdjhwG5qWStmwevEaKu6wcPpSWXhNeuNKT4eGUWJWdU914/sT+Ljm1eOLrDSyDjghRpZ9mmQlMVBSDI9mGS8pvE8laSaCnLRkNBmjwSFIYoQ2ZEM4ZJO0QckmLCK9wFLzhHuFKiqSCKUgYYUhipZwFiPJvvcAoYYQ5DhF9m5IkoWDBSXsOUiQY1CLkosUkmYZSU5iNFlEkhNEkMOQSvmiyEyTTNFk9YIgCbN4YXDEeRC1tFmkXUoreIIjcxXxlvT2Rse9zhaSEMv5kBCnkqySIm4rgufdq0//47vJsGLBKhi0w40k9bn70+th5YLVsNOh/aGgxFSmW1/hLU83Ob4wqfF6/bwPZbDiEuzCtMvKA4uMWLwYBXdKoAIZabr4mZSRP+fz5moXopr2WsJX04q3F2xzzFAqkaePDZNUFdbW6fW0z9MLVyUzAgt/fFzW3x2fW6Mli4e0mOSOV4NedlVSN35RZueUkZEInJ5KhAILb0XLmfyFNTlRTVHAjuh54gX6N84o1dwgVJGu2JbFxtNICP0ci0lT0xYNSeMQ5cFfbUP/YUlGsyHJBgYGGweDHkVNsQWfDfka2nRpBWffcxIcMegAyC3Khew8/QLTqmMJDQp3nfAI/Prp79Cjv9TnSRkEJvIl4qhj4PIKH9zAsOhyd0k0+Shr8qR8kpGgOshqkRxTFTu5eul4QS4WJJ+QlnAqckykWDyXkSSii5WKLKPUghoXlF4gUbZCYIfCkAw7EE+GRYEQNZA9hvIUFvuHRNd2EoJYWxgVTlL0OYp6ZNQtE0kWRJkfkVAvYMEQ4VaRkhFkTBKss8NEijGSXEdEOQrVSRwXA0aU65MR2j+UW6SSYXCSIRERTypyrIkxflI0Wf3dYNAvI97kR0GY3cgxJ8fpJBZy3F9+2ualxuVnKi51Me40BxbNXAofPfWVq5NfPncVHHROM7N6MzAw+EswJNnAwGCDIhqLwuVPnwcXPnQ6xDJjRFpbbdFyvcvN/E0kXC2ZvZTsu7CkPXaXJ6jMu7QfY1ZhDRUYVnDlPRWV9BNsCsMiG5Z+x5TEJ8epGJ8uoOHKLCjBDu3RJFFEni11yPiJyUFWwqJeIBxQNoHEE0tNx0NI4Kl4tRikjJoq8jlSw0yFRywix7FQBKJWCqJWkng3iioEUeaHIEtey5LT6HmsIsnoWoGkOC7t32qJGGMUOUKSizokx4kokWQiyBhFRpJMBDkEVlJEj0PqE48/qQmzhyhzjbZHjsEixsoaLkh2oX4PZfPm+Z0YAXZ/aqY3l3932aojlK+qhLXLZE17B+DDx74gecUuh+8Ae52063qvQQMDg+aNzYMk/42Quifrkq+SG6GzroLUSq0HCBewLjpfAQTIyQkuQMLWazHXi/p2el3Zy3T3RyqTOV2wmvUxneMEsRWsq595c+cX6+6nWWt0hI4ae4mFa4sC69S3zdUbmFyj5RYLa7QR+oRF7T2H7O5PWJ+vKT/peZI5+nfKWMu7b2C9soqMciZt4AYT0VBgYZjYiqpAiYWnvC0f94FLbHjGNs/k9nQVNXMXi8YgI8ubvb4+nHLTMfDa4PegYk2le37RJYIQRHCVFEN1B1L55rC3YAWN0wo0KaY/haDYIjYsSTdFP22wnLCbXEYqDJacpyLJrqwACTLpmMV0JMpIjK1kiKajjIOkvaEQWLhvMnosDkdWtaPNIdENQwaR3CjEMGmPdMiCGOOnIMqCJOM6tIpBkGwkyqhjRi9m8kJ2o8nC7k1Fj+tSYahHkpyQUosk2r5hFFnKLBKCIOOOq4Q9PC4kyCG/3AIj4kpywaLJSmohJBi2lxzb/qgys4gLrMAnibMsSa3u1W7bbAFzxi9wI8cLZyyFQ87dB757YwTUVopuZPxNK9ZUQff+XSCTuScYrF+a6J3JDnwmemZhz0ePhCOeCO6GL9FtC4HJLSxmRZFivU92RD9361rp6ZEavX+5S/U81Ux6YUf1NZW9RM9TmdRtYnmWXk+0h97XFllaxzBqpXaiaJFZEyg1/KFsS3d8bb3mBngfKpTWamnHlq20e8bkZW3dcViZGVgkJcrUnglGS+pa6PHMtfp4o1VMakhBB7lO5r5lVTNexQu9pOm94zIaQn194O9sp7sueHv8d2QS/7DEcfMgyQYGBpsVls5ZDj99MFoQZGzoCrKhpqqOutZjWVEIhSNk1aU1yJbHZ9lN2kKi7GDFOqZLVglhyEalRhYpJn26lnDCzQIbIoooI/GlBDwZPZUJffhy7OqUFWHE7/DZj9KEJKsOhy/SVkhaKGM0WcmnpbzCDaQKZwoaMNEvlCSruBgS5JCKHiNRJkGGIPdS1YufKbZ8HCPKVBwEC4ZIskwWbxEPQY4nhcyiPiEiyKmElFmgBhI/k/JYkBhLyQX4ZBfK7cKjTaZzoyLJ3HtavYBAsE7cxrcLRpIlIfbY+Clgz0THYlg8QyZ2SqDl22dDv4WrhpxHvQ/zJi+Ez5/7lr7DHgkDAwOD9cGQZAMDgyYBtIe7/4ynYPm8lTBnorCMQ5R0KIZu23SBMV8KX+54bQKscPpoAfosu93vQRFn9ekm7cmoplzG1dHKyn+OS4JFQhruF2qIUT5BOTUUIdZmGhTITor8NpqG5JimoeRCRJQ9e0/czy3IDKkw+iGj1CIMyVAYokiQQzbUI0G2kSQ7RJQtlySL1QgdtXTEQCcMrNOHn5IgJzGJzw5RtBjJcZwl6cWlDlkRZNslyJZXZkHjUousSLIcR812KIAcq6ix6y+NLxdu2FtKX3gUWUWU/NIYiu57I1oURcaKe/VJCKOXrsyxVYl9kVgEOvRuB7137A4Xbnudy6+XzNLetgYGBgbpEGnuRug8xM+zLq10mZm5OcGSDF9jbLEuBYcZqQPr4rNZ10a0XHdNVHfQ3S4cWat1AxHP5dmsVmC3S8Us3W1k53BjcN3FkdmNySpmbOGOFzND9ZU1urAKFkJQ6FiiK3wsLdOpwmsq9DlKdmTG7/V6u8kavZ4cFgBKMblIBEuHqWNkwaNYme6Gi1Tq82zHwoHm8xYvMrJmLdsY6wKq8mbZ8i5Bfu1w6cVfztI1WCdGfz4Ofv5orPs3RXctC5KJlMc3WXwpLd58kUXXL5mgkvVQdmGBhdFDV5usFlAFRTgpY3WmUXOMxFMS5BC6VNA8uqgIRoyJGMsBg6CCHAtCbVEyIEalQ2Al0LkCU+0Eieb7LTaNkV+USViQRP01keQIxJEgh4TMApfG8ZCrZ9bFNCgKTZ9Cz4xJe7iuhCTIWCAELd6wmh6SYowoJxLohyyS9DB7nuzekmFJkIXEgshxUrwUUDRZRpV1Ep98gVAyCyLO0s2CSS7wvAqbPCWx4DKMNPIKf8JewFC6vAx679AV/vx9LvU2RGMRSNQlIFkfh2v2uhN2PHAbStxDbLFlezj+2sP/6cu32cJTQMTzEsOi9aw99RRq4nJHv4sQdxzK0G1QuFq3ldgb4Y4zy7/adroNTWSx9pFtwlnFpBeMCXF3CEpYlZi/REsWF8WY/I+9sFex9j2e0Me2f6eZ7vik1e0CpYn8kp+4uF2gk0i0Uu9PhDlXMIMNKJjtBEoWUzHW25ap12lnRgMLcnkKoq1htiBcLsF5Em8zfbzJU6yLczGP3MJb0KupoPmQZAMDgyYJVQgi4qtaiQ4Y9TVxmDB8Kgx74TvJgJF5+lfg/icaYB5BZsFiES12Nyp1rWSADFZKkFcktIIEC60FNrwOaZXFy7VDnslSdiHHhVUvrgMJsZRQqE8cpFUTRn5JEkGEWdBbGyUfKheNyLiolCeIcorsn6KhEETDYQijxCLkkHVcOIWRZLFO95BcPimT9yRBRtmFIMhCeoHV/oTFG0aRscCJIMg2RrqJHGMUWRJkFT1OaGJMn9LVgkeTXelFkhUPkeNEmGU02SW3Kb9HchpnC78dHE/0Y9X1ZozBRE+H7AQxsqy8pvHk/vb1RLj4sbNg5tjZ5K6CZanT4bevJ8Bdxz0EvXbsDv/99jYIp8lbMTAw2PxhSLKBgcG/BtQY33fa4xDNiMKNr19OuuLLdr6JSlY/8P0dMOCQ7eD3rydC534d4cIHT4fZ4+fBN6+NkEv7pRPSL1lFhrnlm2c+WQHPH6UUHm96nBE2C0PCMpqsIseuZEB9IikOO1J3jORXkGYiyEgmcTdEVp1I3lO8nT6RzGNUOoWux0RsUUqAHq0olUhFUFqBcosUJMIpCNuOTNaTlnEYSXZzXmWk2pVtIPkWrhi4Pqq8Z0syrMiyJMrogUwJeszFgiLIMllPDABhqa9WBJkGHCeijCRYf6okPpRfKC2yekkRkWUdNaZIoIoyy3GaWdm6SakFySqkLIP/huqFhRNpPAPZBVlQU15LkX8MUHXs1RaOvuxgz2WBkp5fPv4NDjhrLyqLroC9GXXV9TBx+FRYu6wMWnZg2U8GBgbNCs2HJHvqhTei24jXps9iBURqdB+HxeUZ/sxO7mLBuoSAFQ0JAZNusCzdhlXCBGqLQ4HdK5w7YMOlkDdff1HRLRSY1Vu9grlwZOkTs3YVk4jwQA736cbMI7VdZnLO54+t1lGYaGVwl1ZEm3BA3kK9D5FaJi/J0+vJXqvPoZ2hu4oia9hvU1kd/Fty6QSLEOkuevl3vu7ec2rrAjO2bd6FZNAojPpoLJFgxLhvJ0FGVgxWzF9Ff08dNRMuffxs+OSZr8miC+3ivNpRxYTZNS/vFZRSuN3xyuXCFQgLWRURZYRywOCRSlpGOi9gcp2KOitSFxJ6W4z0Kk9j2hWUIOAnaZVxtbqYCZIzFU0OMQ9jfjgOEWRMLtTRZBxBcot+yuEQVucLi+ixFab144AFSFTCHsakxeuCdFnGSLIaJEkmokwlppEg43TUH4coegyqol7Sq0EmeQUeA0aVFSnGiHKKkeWkT2aRxPMkdMcqiiyKi3iJsNYfc324fE7z5yVN8+mUfe4z6lySTWAqBclkCg44cU/otYNwHdj31D0g6uulQNx62H2weslamDhiCjz0w2B3+tFXHALL5q6APrv0NAT5L7pC8a70UCZrE/n8vBued93z+X3zcacLJ5u1u/V6nnhLLbGIlbLntLrvMe+hiCds6ulhXv+J7SqX+VmlTF6H97nazUx9LZZVcb2gnv7j4h56H+K6zYqvZNyCtcuRPL1DkVlZgW0oL8IVZW5X9HySyF+gz1tdCZO8sHnC1fHgAi4cqTTF2LjEgstPfRILj0MUuxbSyRTTFrTZCGg+JNnAwGCjY4cDtob2PdtCLCMKW+3RG3IKsuGQC/aDmvIa2Pvk3eC+056E376aAF8+/z18Wv4qtO/RlsgPDgeetRd88fwPtB6VUKe0yUSa0hUWIUhLN+8kTcBIUiHXSczTFtINpU1GhwskvDJhzy3LTBZvkhwj+eQyCyTHsp2gCtekexb2biryS7JnfEGmSLIopexEhH7atlNkFZcMCWkFEWXprUxGGdJf2WMXLZP/FFFOpnAcyTH+jSRSRKoxaozuFaJ0tpRXyBLaRIolQRbJej6ZhZusJ6PoSIwVUZbV9oQVnJJY8HGZyIdykcDy1Ex+4TpaBFTfYzILT1ERKd/JK8qBR85/lv5GvTLKYb549jvY+fDt4fKnzqXprbYoIZLcunMrz3o6bdkB/vvNbf+fy9vAwGAzgyHJBgYG/xqwiMgrM57wTLtq6IUuuSldWUbjrTu3dKd137YzdNumE/TavhssnrUcJg6fJh0sZJlqjwZZ+OZiVb6MvCyoKpW9C9TdbwNEfKWpKQSL0UtcmTBRE/7IGMHQyXuUcEZaYunOwIiwsH0TcVxXdoEOGKJQn+jIUONRC0A61zkR5I5Y8ERJOqQrHe4FkmX0YQ45kMLoMUqFkV6j/ZsbsVbkWFnIib8E59REGYmwIOCiNDaVyib5iIwcy2p65OBBpFeSZGV3Jwmyjh7juCDISI4xb4mIsvRNJvKskvko0iyjy24kWUkp/LZvQcVElGadRZPp5SUVoFsW33ffrgu079bG5dEv3fK2e619NuQbOP/+U6lU+n+/vZ1s4Xpur31uDQwMDJonSU5TzztttxFzvbCrucQiGpyxybI8G2yjiqWh8lr12NC7y+v9y1xVHygViFXobodkDisykqvHs0TPNaGWBUiyVuj1h1mGb0175vRRo9cTqtfTk7m8CAiTbUSCu6h41i3vBsooZ04i7NRFmWl5imXj8t8ss5R117DzFqmpDs6OTrDuuXrWncTOv7M2WJJBqE1TgGQDmpY3d6xatBpmj5tL4z37d6HPt+7/GGb+Ngf+HDcXhr30oy4UgvCHUEmCICbE6xLQpmsrqJK/cfturWHJ3FXgJG3tcsEjkiTBkJILYZyso5xuNBmT9ByKSroFRSQpFpePINoizOuATd+J3VPyZCLKSI5R5qAsmRW/Q9lDBLcTBidkE5HFdZNjBkaT8dhVEqHsB1a5aUripPml0OqKTxEhpu8kSaas/RSLHhP51Z8eFwsmrwj5CLKKJgstMpNXqE/pQ60Kt/AIs1tUxCW6nEDb63a04AerToT8e+WCVfD4JS/Qn7127CYT+gAyczLgsAv3J4JMf2dnwJY76W5wg78P3q3uMHcHT3c9e55aTAaTWqPdkhDhooLA53NIvkgj6nvqQhsZrICUp1eppZZxZFSwdp25PSRZs5zJXC8SecHFRyK1TLZXxWSQ2ezYmBKhooa5QERZgZIWTMq3kLlaVbDCKOyweLGwDHa6QmlUEnaG3rfc+UzqWasXsGN630Ks8Ja1mjlBpXOx8DiFpW8P0xWc8ehZPJLY1F/icRsSzYckGxgYNGmUdGgBha0KoGxlOcybspC6wivXVFFxECSj1J2u/IwRvvcakkuwvxdOX+raTS2ZvVLKKJgumZcyVhFjJG6UXBcWRUSIlCIpVp9C5kCOFrLQCJalpqgzLScjyZT6J1i8zQhyWAVE3WivI6LJeGgYOcYvwyjpCMtPwaTRX5kkIOq4aVDVBxVJZo4ebBukE0EyTCRZRIzpb5V8KIuDqE9FkDk5dqPJjBQTWXZ1yRhJ1pFjHj1G5xAafJZv4tMWSXq8eIgiyupY6PdK43ThHq/tqagXyxRN27Z794OVC1dD6YpyuPl/l5PW3cDAwKCxMCTZwMCgSSAUClHhECTJWC3t46e+gmmj/3TlF6glLV1RBm/99xNYOmcliyQLoqvMLghMftGgsIh/nJZzvBX5KCoiiCnOi70XQpMsorlUmpm2gxFjGhHRYiKuTARBpE6Umw4rbq4iyMgFKcoremKQF+NMNA1nwGizIspEirEQiU4adI+9AWGUhJhK+8kAu9wO7azjJcXuuIqOq8gwLxoiI8hiXLlZqHFp8ebavAliDDxhT/3NZRauL3KA60hQ5NgtKJKuXDU/HQ48PupuiiRPGjmNXCq+fX0k9OjfhZxVbjn0XvJN/s/nN0G/3XXJYAMDA4PmSZLThOY9YX0eyudOF+myLnk2p697wMrICuz653ILq5bJKlgGbnSt1iskWmj3idqW+ufKXKO3nc2kFNEa3WjUx7ljBhtl7UqkmnU5sa4iPn/Wcr2eGPMUD3MPebapuDaG8MgqslczuQjrBuJOF7FKJqWo1gtHynW3lAe8pjw3n09XH76mNlA6A77sd6eqOk1Xk9NkuoE2dXzx3Lfwwo3/g8MHHQDn/OcUmnbH+9fCT++Pht2P3QmWzVkB7z30Kckb0AEDbeHQceBhSsgSguBwNAQ9+3eD6WNmSdLsI8I8wYt4r2SkFnO5UM4WiiiHQjqKTHIF4Xjhyi6SMmosvY9VlFjok4UkA0k0yi1EErwoc42jRIRZXporuZAlr8l5JywTEzGCrCQXIMPQGMf2RJJ5OF2QY1GC20eYcT1UxENM077GXnIsHCqUfEKNC70xvRikeIRZRI9dNwufk4UrVUnZdNrdg/a4WwRU2ZNwEzN5hJmOTX2yeVWPgMRuRw5wpRRlK8RDa/6URXByx4sgrzgXKtdWuQVsDEn+60jXHZ6uwBIv4MVdobhkMcSliLQC9oMyhyGO2CqtRUgUZwfKLWIVrEAGa2fDrH3k7VFdC17oirlLlXAZht5UzmI9XtMmuNhHHbOFslhjGVqu26CMNXr+FDP6iLBDt6qD5Yv8MRArY78NO16PlILdZ6FSpufgYL8T8KItGbFAiYxfuupxsaivW7/EtTHYCG1r8yHJBgYGTQpfPPcdVJVVw6fPfO2S5DadW8FOh20Ptx5+P7TeogSenfAAvHnvx9Bzh67QqmOJWzFt4fQlRIqS9SmI14nGmIgl541YaQ+79xURlqBp3G/XJdHEJll5almpj1zZBJsl4gc2JcDRKlUREgz+umoHFckVyXfIU1F6IYqHCFJMXJwiyTJZD4cUfqJ0A186hWWdg+07Zeo5wsdY8X6XIHNRtq4kSF+rKLKMKBNJxmlI5CmqLImwpxCI2C81TkTYJcey6qCKKqsKetLuzSXL3P7NrztW0WSSWMgToBL6+O/BI8wNkvjk3zJZ0qHCKrISIvY6dCqBa56/EGzbhhljZ8NNb1wGE0dMg9WL18CiGYuJIB909t6wZnkZHHbRAf/4dW1gYLD5gJsGGhgYGPxrOO3248iJ4Nz7TvVMH/HuL7Bw2mKygqupqIUbX78UilsXwh/fTaLvj7/mcGjbtTUUthaJPTsf2h8e/v42OP2WY+Cgs/f0boRHlhGuIBjSd+1jlExFN1kiGSWdyeQzTgi5L7CSHbiFNWQU1iWW+BkHCFOBDu0agYk36hN7aMJxC0LugGXuxTh+0nh9CELxEJuHj+P3fHnftIT0O8YhLj/VoPaF9lHvO5FedQwJ6fBB3yuNstOwup6yeVPnkRNkv9Ub/TbaI1kUD/FGhz2/o4z+u1pwxyGpzgcrn4P9T98DRr4/Gp66/CW4Yrfb4LYjH4AOPdrCSTcdBQUlefQytcsRO8K9X9xML2UGBgYG6WAiybyOOM/UZN1Jnu76+vrgAiL+7nrerZ/LCnaw6Z4qUWy9UKD7ckjbpybP1E7iqWzdTZPDnSvqeDeYnseO6GOrL9DjmayLxy7nXTNseiS4i4fXgndiwd1DWWtYXfu2PItWr6dwtj52O8a6ouIs2zXKCn/UMQ0HOhUocGNyLsNgcOrY78d+M7vC2+XkMT/n3X68u4dLLAz+MnY9Ykca/Nj75N3hl09+o4hg9/5d4ZtXRsDD5w+l7/rvuxWM/3EKjR92wf6Qsm047upD4YYD7yUHjI692kH7Hq1hyawVYmUYzZVJfVyfTHFdNymMa5FlFyWFfMVvT6WoKdKbAsvCMh5I+PDrkCgOwiQXwF0sfHJbTNBDQq1s3mgTcmZ0YyOJBn6H0WLSJsvgsDBFlpX65KervZafnExKVYg+PhZFlp8ioqzH3YFV0VNRZmXpJhL15LjrieyTW6DzDCfIKmKcYkl67gtISn+vfitPZN8bXfZ+577l0P97nbAzXDX0AtKxv3H3B+IbOU/Zygq489iHoX331lC+WjxDx38/GXY9suG1Z+BDumdcmuegpzgEb1t51306iaNPX+5pa7kUg7ebNXqeKCuQ4cjETRpn7g2JfFaIhLVBDmuio9V6el0Rd7eAwKIeSS6NqA6WTGSUMjkla2ri+cHtbNbq4PVE6tg+h4IdosIJ9ttwo6wq3TCn8rQcNFzOin5UVgUW3gLu6pVGssh/L/o73e/smclu8pJFQ5INDAyaFDDqN2TcA+7fyrIL8cf3k92X2c+f+5Y+W3VoQeWuEZiMRcxRvTyxbnqRX6f0x1ImQWWjmW5ZfU8MMiwr8KFkAgt84INf6pOVZpmWEUl+XB2M8mFss0OkCUaCJ/yQybeYpLZIKi1BipGU4jugJMpUsZokF2JQNm9uo8hIsiLONJkrFOS4Ow33BdetyLD63iO5EFUFFXkOs8IgLjGmeQOq6ckIu5u0xyLGDezelNbYc865o4UvMU++3HTfqiMsmL6ECoVc+/z5pDV+9KIXIFGfgOFv/0LDidcf6dq91VZ6daxLZi0jXXvXrTvB8dce/v+9PA0MDJoRDEk2MDBo0tjzhF3g69eGw2/DJtDfSDDR7aK6ogZqq+rgnYc+g7rqet0T5BJd5uPJSReXYDiMoGE0WSXzUSAjpafR8mFJlAXJE2vBhD78tCmyrKTAREpxMTkuuJ6SCMieHduhQhw2aqlJjywjy9JUmVwzQl6CrJP2vHmKbsIe1yQribXYPU+Emciv+t71OGYJe0R2tSaZJ+YR2VaOFq7Fm1pG2rvRdzpqzEtSu3ZvXKvsyitYpBh/OyyqIr+fPWE+fb92aRy+efUnqCmvhnitjFzii4tjw4Qfp8IrMx+nSo7jv5tMSZ9turSEh84dAotnLoVjrzoMDjp7nw13sRoYGGxWMCTZY2CdbhaeRcrGmbsFzxYVy7DuAu6UwGDl5aate64QZdm7dqbuKgqxLpVohZYGJHL0TxqtYsfGslwzypzA6dVttKQhVtkwaYb2mR1WmDk92FhJTCJztT6WRJ5eZ8txurKInaH3M1yu04BT+awbqKw2sNiKR0m/pjxQYsGdRxzmLsIlFutCWvNzjibUJbS548bXLoPHL3oepo2eCR17d4BBD58Bq5eVwut3vQ8zxs6hebbeozcMPH4XeOqKV70L+4mx5ytR1loQSVbaWrFVOY2siKUtnOt87N4MrFQISiqw/DMSXroOpa2b5ITEucMyqoyJeRixJR9kfP5YQoohSTHVPFGEWA4en+R04FILFk12I8gsmizIq5RVUDKfiCa75aU9f/NKeiIy7EaT8W8KwCuZhSbCRJZ5kRCf1tsrp2AR5WQqbYGC0V+Og9pyVhwhYoGdAJj522yoq6qDdl1bw14n7krfrV66Fpb8uZTWVbqcPS8M/plnXLp52HSbydy4A4bnebyusvLcIYrfw9m6vbB4kQsGenFTixbobUdYwahwvR3oApFZquevzw8F7muKKUl4+8jliAnW1PN7t3B2cBvN15m1mjlLMC4SqbED5ZThGubmEWVSmByt2wjVJwLbTYs5OdmMt1hMSsFlFHYtuwczfO4kaeCRr3JJRrrraCPLMAxJNjAwaHKYN3kBfPnC97DPKXuQlVckGoY5k+bD6iWlEK9PQpettoAHznkG5mB0UT5Et9mzD2lSXTEv1yFz3THCrbSHfwj9sTudJklWSxIIUY1PF7YLgeVIuQZtSxBkS5JjItEkqxCV/ajYCE6nktkYHRUlqal+iSTCwgVDRJnVNNRGeyLHvihyoB6ZRZG5JllFlIXkgcks3HGtQdYWbqySHsorVFS4gd2bJMwNJBaSILs6ZOVmoYmxHuSBBFjBuX+7yX421FaIxhkLzdjJJOQV5UP5ygoIR8JQ1KaQvpsyajq8eue7MODg7ej6iadsj3THwMDAYH0wJNnAwKDJ4cGzn4ZZf8yDnz4YDVl5mbB83mpIJlJEdg49b1+aJyNLhFuiGRE48bojoHRlBSyagVX2FJ31RqYcFhX2RJelj7EgZjJSQZILEWUWEWJBeCmRT0aSLdQ1o9aYVoNSC5RghIQ7GSXn2W6CnrBgFsVB6DvcJBFinIbfOR5iTAP5MvNoshVMkiU8tUU8VnAiSdGNIrufMjLsSjBYpFgSZ5RUiMizSsyTpaalDhn4uB0ksQhwDFHnXxFoFdHnkhhp3xdYYY/BxkRBB4ggI7AIzb2nPgEXPXQ6vDb4PZjwwxSYPHI6PD/lEVi1cDVst+9W/5/L0cDAoJnCkOQ0oXze3Z6uS4AbofPxBoUq+IOeG2nzLiTe1cSdFlh3lMWydG3m6hCuZqbt2GiocdaNUl/MIihWcJdQ3mJWvKNKj9cXs3PBi4ys1F0wNW0zA7uEopX63CXydXdPMlefh0y2n5HV7Nj5OfVkTVvBmbbMbcSTdcu6hLhBusfBhDmbNMjSbkxXkcE/CrSGQ5KMCViLZy5zI8P7nT4QzvnPyZTAh13rBMeBY644GD4dIhL5kFyFyDNZeQerKnXK2YLJo9Q89LOyZD8VecZrE+81JcXAqKksDEJEWWqUKaKMNwdFkoU2WWiCkRSHhN6YB05lUh4VDEHf4ogkwTJ6LSQXcjv4N917SnicRnIRRJDVuJusJwmw65ksCbSUVQhyK7/HoikUCRdZiK4vsiLM0r3C/eTkWLlWeHTHXH+sSbHQHAdU2KMdV6XDWT1veYzRWAQS7D7t0KstLJq+lIjx9fvfDWfffSJV29vn5N2hY892NBhsAPxFlx/+bOVLWpnMxsEnk4N6vYzDl4+ydpa1ifzW4M5IGatqgiUTzC0qkcvWyaQa3p3jEkQr0Bkjwgp7YZGhICljPE9PL5jndYdw58nX7X6klrtB6NGMUuYEEtftZpi1v9bKtXqBAm2r4dTUBLZv6RxJLDadnglqPWkKsPmRrm1tqrJGQ5INDAyaHPY+ZXcY9uIPsGTWciotHAqHYas9toTjrz2CvscIczKOYU8gd4Nz+lwFxW2KxMKUG4ZFRFgrojx5qTgIc7PAiDFFdWWxEN4musRYyS5we0IsjC+gHukFuVeoqLO0kZMhYfqeJBdYRU9W1sPNMv2xG6yWf1NhFKpf7ZdZKIKeXpfsRpSlPEHILLg+WUeQVZRZVcTTkWS5rHKuUOOSzLqRY2ntJqQWAZpjJa9QL8KcIAfpkBVp5v7J0sKvfa82lHyHKGxTAE+OuovcTKb9MhN67tANdjhgGzi922WweslaqFhTBVvt0QeG1b0lfm8DAwOD/wcMSTYwMGhyiNfoaANW4+u/39beGVxpseV64eKgolqu5EJaQIQiYarARsQsneyCvmOBMdfpQkWJdXIebUNJL5AIS/Iq5BYi2oxEGYkzBUKkJhlLVUMES0EjWcaEPSrHJ3XJctX+hD3XtUNV2uNSEQkrjf2b5ZNbqGQ9+ltEjdU0Ze9GJFiRYr8OWVXNI7IrzpEbOWZ2b55iLH6JBZdduL+RSNRzz7tENCsCidoE7HHUjvDHD1Novq5bdYKrnz0fWm/RkoYd9t/Gnf+Wt66EqwbeTuOfP/cdXPLYWf/PK9DAwMDAkOS0ofy0Egty/RcIxYJrkzdYFxsPt5DRLlqBXpfDatNbvAuJSQ4sZXdEpuVse2xfefdTspXuUslaqmUM8Ra6xn2sXHeRpLL08aRYLftolV5/bK3ers2OP6NU72e0jHX9sAhRSCbb0HrYslwi4lp2rUNiwRtRj/SC/2b1TArDu4RYlvX/pxvHSCz+HQw4pD/c/t41JFVAHekXz30L476bBGfeeQJ06tMRpo3+0/1tz7jzePj1s9/JF3fp3FWkW37o+9uEHdid7xEpsxM2RLMyKNGrviYuSlXLy81mXrw4Ae9xD1Gm6SFvIp+UYAgyHCJ9sXC9kLJmZU1B/sdIloXXMvkhIxnH7dAgiC+RehVNxllQm0H+zFI3ocbV8wSXUdpkSTKJJ3OphSSgKjquo8lKUiEJqiuxYPpjRYZdBwwkw5IUu98pWQWPLstIuoog85LTXGKhffE8UWNP2WkE3sYpG3759HdIyHt6wdRFcMmAm+Dyp8+Dwy7Yz3Pd9OjfBVptUQIrF66G7tt23gBXpsE6HQca4UTgkazxok2WN6lS3aM0H2sLPO0jB91cAc5T9WkKQ7G2xqpl86S0Y4adwRyf5scDp3scJJjLBC+MxYtqkYVigPSCF8+KF+hjzFgb3A5GV+qKJnY2k0CsqQg+J8y5Ahjf4O4W3IWEyyoc3u4xF5HGSiw25XbTlAwzMDBocsAI8R7H7gy7HTUA6qrr4PFBz8FP74+GN+4R1dSOu+owmqeoTQF88dx3cPiFB8BRlx4Ejp2CRH0c3rj3Q5g2Zpanqz1RWw99d+nhPrQxooyJXh4NLCOXDR0YVMQU5QMpaXMmpAQimoqlmnFcTiNrtJR4CaR5bDFOpZylbVrClqWdxbgVF6WesSJlKGnL0tBiCNM0h4p80PSEmIZ/U6lo9TfOR4MqLa3WJ9ap5qUhyafjvuB+476oEtvyb+Vi4TtGlaznFhAhwptq6HsszxWSYGowfQQ7IzsqIvzcJ9l2SEqT3yIPBj1yhutakZSaS1eTzoDJnE/+cje8MPkhOPCsvTbY9WlgYNA8YEiygYFBk0ZmTibpSzHairpTxP5n7Alf1LxBWuI1S0vh/Uc/h1iWTvwZ//0UGPPFeMgtzPZodwccuA1c8+z5egIl+TUkxMJtwTddkTg3KY17/0oyKWUIQr6AhFgQ45AkyzhPCAecJgtyKDIs5tPEWZFZIrhxOV39TeuVZBuJMZJnRXY9xFcRZkcTcrlN+nSJsYwOS7LskmNF8Inci5cDIsQ0vyTHKlrsRpJ9SXqKFMvz3cDlwnHgwNN2hzB6oQdU28NqivnFudB1q476d7MAjrnikAbXymdDvoYTO1wIF257HSyYtugfvhINDAyaG4zc4q+CSy94V5Gv+ITHJJ11NXgydrl7QzrXC57xy+qqQ0YssEslVayL0IeZvCGVp7uyIswNI8Vq3CeZ3CJzJVs2KxroUBFbrc3Gw1W6myZRrOUckTImz8hmZuZllcHHzruBeLcOl17wDFx2fjxSCr7OdN2B6QrGrMvFoonWl9+cgdHgh368E+ZOmg8v3/o2lC4vg5NuPBrGfz8ZKkqrIBILw/FXHwaTR013l+m9Y3eY8vNMSuDiCXxDr3ld/IY4TZIxm5LwRIEPt9oeaYGl3jjEZBeu9EIl00kRM+otKAlQJfqJ+WjbDkatRVlrkl2gHpkkEWgjJ2QYKK8I0frRCk5/WiS7UNJqKTx2k/iUmFddu2JGWjvPvidJhSD9KqnPlVooXbKSWLiaZSahkMvTskqz7OqNfQl5fpcKLrFQJJr+8M73ydDvvTIqMZMrv5gyaiZ03WoLGPfNRPr76mcvhMKW+XD1XnfQS9Stb18J2XlZ8MkzX9P+Yg/BvCmLSJpjsAHQiAIif3mV/Nnvl97xNpT3/JQz1wXm2OB1SAkFtq1OUZ47nizUEotIhW5HwhVsu6yYF9dQhupTadpcvU6HyTAc5sIRqWIyEpaHkVXB5s+IBjpXuBp+X8EU7uAErE106uoCC5lZBfo8OKvXBre5qfX/rg3aUP77bcLtpokkGxgYNHnMGDsbhl79Goz54g948eY3Yc2yUhj9+TjyyUWXiwnDp8I+p+wOGfJFbNb4ORCTL3f48O65Q1e5Jiv44c59eT3RUCkRCCJ+blRZyS6EBMOVH3BJgppXyRlU1bpEigYRGVZRZxZxpuixiizLCLT62x85VlFhuT41L/2tykir7aR4ZFlHjT3jqqqekpNImYV7bIoU03H7CLKSonjs33zaZDzn6rxz8izXg7+ZeMkAWDZ/JZxy09Gw76l70GyPXPAsPHbJ8zD5pxnw21cTyPYNceotx1DBkL679oLdjx7wL1yZBgYGmzM2CEmeP38+nHvuudClSxfIysqCbt26wR133AHxv+qPZ2Bg0OyxctFquHL3W2HCj1Moka/f7r2hsFU+HHPloZSkh6gqq4Ht99saDj1fFBpJ1iehffe27joOPW8fuPez66Xe2Ed05RDLQrNiXzl2HjH1eP4youghjbrCnCu/UOSYSKgglKRVRoJMCXGMHCOplcTXJaqKDCttsCK4LoH2DWoeuQz97c6npBpKe6xlIB55hSLDclDfi7+1Flu8IKSJHsvzRy4eOJ+SryB41JiPO9qZZObYOcKaD+UzP0yBB895BrJYaV300Vbos2tP+tz7pN3h04rX4bFR90CkkSXoDQwMDNJhgzxFZsyYQXZLzz77LHTv3h2mTJkC559/PlRXV8NDDz0EmwQak5nr6Yb3l1G1A5exWaEQLsnwxLdSwfIDh8kPsJF1Uai7mcJL1gRKMiLMQYK6cyVCddyVgnV3JdJ05XA/U9QQqnnY/LElZRCIdC9J/BhZjXh+3tI5gUBSn0NK/FFohETCs37f75c2a3cT6yraHIDEOBQKkSxi0CNnwVGXHUzTO/RoC0+OvhfGDhsPB5y5p5w3TKQslbThoodOg9cGvw+zxs+DRy54Hg45d29tAcGr4sjROMqQUCLB7d9YMh/+81wmSp5B87MCHyjTwEIcFAUVkgpyp6C/0f5NlLkmSQVV7JPWFHLbOA1QnkH3qi8LX967TnBRQT2fq+tlf3ss4rTVGye54ti9xT+4/KKB3tif2OgvEuJ6JWudsee56SHLDpUb79ijNYx4b7TneOI19eRw0W/3XpBTkE3SitNvOw6eu+51GHjczlDYsmD9F5LBhkdjutXZPPxacHwOUaGsrPXL5LhkkReNYl3/3GGJS/isWv3CFeHypKraQEcIT6Eu1vY5bB4uyQhX6eNJsXLo0fkr9Px5Wh5Jz4WAdYbKqoOlmLx41ppyts/B/MHT3rEiXJyTpHOhCDFZY6q6plHtIXcC25QLcm0QknzQQQfRoNC1a1eYOXMmDBkyZNMhyQYGBk0CJe2KYcgfD5Ct1w4Hak9cBNp8cauvtl1auWTy4yeHwR3vXQ1n9LiCplWV1zAtobBVw2VnT1ygVyilFfktcqGytMZLlEOiKAgyU4p2ImHFhzzOQ3pkaSOHDFb5sykijfpiOV1U0RPjFhYdQWpKFQJtXcHLLSAiCLMLqUsmCq0s4Lxf6f1lx+QSYFeL7NUFu+SYkdkG5FjpEhXp5Ql2nDCrF1Z/kh53r+DERW0bAOZNmg/LZi9L2whPHjlD/Jal1VBXUw8frn7Jd7UYGBgY/HP41/qjysvLobi4eJ3z1NfX06BQUcH8/gwMDDY6NtY92rlvRxo44vUJuOu4h2DFglXkqdyxV3s47ML9yDMZdaq/fPI7zPxtDuQUZsERg/aDwy7cH3rt0A1euu0dKmn88Pe3Q/ftOsOhhWdDCntCLAuiGWHov3c/GPPVREFiVUSZV95DcuovOoJgRUncJD8yPyYNgSbGtC6aUUSNJRGmpVnkmBL31DpVtFkl6kmtruuVLFYnA8s+SzufrZ2HLKtxSVJd7bQ7D7NkC3L88EWPSV5B42p6ACFW65af7bu3hpWL1kKiTkTJaqUHPEaMq8tElGvrgVvCxOHTPKtYMHVx4y6eZgTThhoYbIIkefbs2fDkk0+uN4p83333weDBg6HJIU33EJ/uyeT0zWeldVpgGazswebZNM9UTVdetYp1x3Bw03XezRRj09eyh2hudnDmbBnr4uENHs9m5cfFtsVlEh5HDp51y7uEsjKD3S1YNxN3tPDUlOfdOOx8pi8Mk2b/N/Fs3A2JpnSPzh4/jxL5EMPf/gVOv+N4IpVHDDoAfv96IpG1tcuF9Ofjp76C9x75nIgyEmIcfnznF3jm6lehuHUBrFqEWd0OJQJ22rI9TP9tDlSsRYJm+UhwSBf3oIivJLfK/cJ/zVO5ayGtEPWmlUOGrNqnZB/SDYO4rHTHoJizS5J9UikWXW7wVJD3qDvdJcRMgsHIqydi7M7vS7hL5xvtW85NwgtYnyf5ke3nigWrIYkFHyyAaEYU4rVxOGLQ/jD1lxkwZ0IVxDKjcMi5+3pI8lZ79KYiMjPGzoKsvCzotGWHv3j1bJ7Y6PdnYyQWXMrG21CfQxR/tttMqhcuYNIaLlHg7kbcjcHXNrvb44Uz+Px8PRDsmORpl/PYMSzV7hCQq6UUkQRro3O0jMRi0gWngDlO8HaZt3ecA1RohyinPh7Yhnrki8z9w2YuFo1p32wmZQkxmSj/Xfy/XzrJIhoBbbaJezfeeCM1QusaUI/MsWTJEpJeHH/88aRLXhduuukmijirYdEi43NpYNCU0JTu0e7bdYGdD98eOvRsR0Un3rj7fTizx2VQU1EDb8x9Ci588HSIxMQDPV6XIPJZurIc2nZpCfucvBt8/epwmDZ6FlSjDAOBQdR4Ct596HPSP4scP7++VlepU5ID4Y4hy137k/pUZNZNeMPEvaR4CeW+wjiO+kpedIQlzpFHsXKacAfhWawKloi/cZDWbbRO3I7cV+ag4S7Lkw759nixFJ68GHR8boIemyZOWsO/PYmRYiCCLP++4eVB8PSY/1A56dVLSmly604lsPfJu8Ft717lBiNwNS/e9D+4bOeb4YKtr4GFM5b8W5ddk0ZTuj8NDJpdJPmaa66Bs846a53zoP5YYenSpbD33nvDrrvuCs8999x615+RkUGDgYFB00RTuEc/ePRzIkiHX3wg3P3JjXBKp4vgrfs/gnA0TBHit//7MTx3yh4w9ZeZbhc+2sOVtC+GYS/+AFVl1bB2RTnU18YpIbDrVp1gyqgZnkhNFUaRVZKcInakbZBET2mQKWGPUvqkbplpk/mggISVpmHkWUaEVeSZSlOz5CAutaAdaSCmYN95o0Ge2JmSPSg0iOiqaX4PY68sIjB6rOQVvuQ8/pkugiw+tRcy/g6fDf0Gzv6/9s4EPKbz++PfJCKyIrYgglirioqtat8VRbW0tKVVqtVWy89aqrrYSrW6oMsfbZVaKpYqSatSu9hriX2JLWLJIkG2+T/nzNw77x0zhDYyE+fzPJfJzL137kzmzXvmvN/zPR88y6+9ZtNqiFq0GbGHzrMevUm3Bnh33iBsCN+Go7uOY996c2aZvtBcV4qkHmScYXwKwgMbJBcrVoy37EAZZAqQw8LCMHv2bJ6MnB5HS+z30oxCWXowLEmo0gsHBt0mpe+8QSqg7q8swRikHup1qM1H1IrXNE+7Sz9ITrG/5KQYj0MxNjfsk53GKKozhlohq2BwrlArjg1L2Gpzlgy7yzsOG4A4ILtLRULukXQlGR/1mMZL7OlpGYj8IYrdLvwD/RAfe5k1ywkXE5GZmYUxnSciJvo4H+cT4I0qdStg0ZQVKFUxCIe3H8NNi3E/BVgn91Hhnvmz1vDJMGxavlOXJ/gW9EZK4nV4+ebHzVSSBFgkFtrnS9Mr6xIMRZqhaYptN4Nm2RI86lYWyufV4nhhzdZaJBqOZFfquR0VyNkLetWfzS/bsfxCk07wm6c9bj8I179cOArKYUKb3k2wZnYU303NYuj+eRN+xUfLhiOkamk9mz+w/kik38xAo671MXT26xjTaSLOHDqHctXLoO/4Xqw1F1xkDlVR5W82y/AmxU1CPW+WMncY5lP1MlRJoXq/KvtwIFNUG22YEq2yBzcfZa5MVa5BfW3qPKU4SBhQZY1KIzCcjbMvlbyWYVdWYbhmRcqYpV6zcp6s+EvW28q8qconHLlYuCkxhhrPqNziVJFHJIs5okmmALlZs2YoW7Ys65Dj4+P1x4KCgnLiKQVByOOQ/pi67BFlqpbGcyO78u2pf43DoeijeKTxQ1j21Rp8M/QHnD5wloPF4Mol2Vc5/IvVuHT2Cq5r9k78R9scqNZq9jBSr93Ajoi92L/psLUqzwSkJKTyPmkUIPNxSlZZ/VnP3SpBqmbRprW9thcoa+fSu+nRbctkwwV91uu0FuwpGmOtck9zwrCtGdD3t+ykTlYc5CqFeerr0aQSGmpWWG0MomacleBYD+QNHfbU36YJvvTlJayCHiSTzjhmyxE0ffox/rnJ0/V5VYCC48R4s/4yYu46hLV+BO8vHYoDmw6hWsMq8PZV6hgEQRCcPUiOjIzkYj3agoONBRWGlpKCIAjZJKx1DYTWLMsB2ITVo1G4uLmAx6+QL8Jam63hqtQNhWcBT6RbWsWeOXyet8e71mXdMnXq03EzoVAxf7w65QV8O3we35WSaMkuKYGyOXNKzUY8kXYzw/p3TCvaM5lQtX4FxGw/aQ4g9WCYjqIW1pYCOS0rzD8oMgz1fv3arMV9BguLLFsXDY7Ara4XhjbVlA5SAl+b1S678geHty1tsO05VlgCYcqic3CsFunZwY2z7u7cAGbN3Cj0n9QL+b3zo/ULjTk7XLJCEAfHJLWgAJlWAlK1dr8mE07tj0WL5xrpv3NBEASXCpJJt3wn7bJTkp0lAQf7uKvVrjZLD+qSkOG2siSUpcgM3L2sv5bMZGsFq4efsgykyhhU+YFy212prjWpSz+eqqH6DQcuEIrUgYqNNNTCX1VuoU6IyvNCdZlQrsFN2ScrQTFCt53I7VybrZOI8oD1psFQxGRXVmGQZ6hLe4JTEhhUGLN23d4hZ8Ov23Qd8vNjnsaSz1fhevIN1GtfG+ePXeRssjkxaw48Ey4mYVSH8WjftwWiFm9B+o0M6+dLyzYTlE2+ng7/on5IvmJdpqVPlqdXPlw9n2D1TOYHbDK35INMxXLq47bZaNtMs6ZfVoNezVZOD5xtlzhtssn6hd4hQLaTNbYGu9ordSDF0IJze8GxmkHWNcjW8105fxUx0UdQpGQg3m78Ho7vOcXdFOn3okGSCuq0R5l+Oq5ocJFbX5+Qe9ztsrqj5k63OETd+VTq33Cji5Qi7VOdlGxXWjTU51akFAbpoOqkoc5HamMvD/c7nt8Ud8l+QzHVnUl1c1LfL/U8BjcP+3O3AeX8qgDR0NBFbcii4qYekU17CheWWKhI305BEPIMNZs9jGVfrUbpSiVZjtHptbasU6YM8vG9lqYhWsLVwuVzV/HdiPnWOJCzwZr217hzcMWSOLj1iBKMmjgov3Ay3hwAaxOpWsCnWMHxhOSmNSSxnNRWR6xmmW0L//QJ0DZwtgm27xQo22SM+VVarkOXVCiP257PJ6AAUhOvW2UYWZncIjwry4R8+dzZxo1OWrCYP5IuX4OJ6il0CbZVohEfe4k3vmxLAKAGyEP/7zVeBehSyJx0qVKvItv4aVBn1xUzIvicT77e1jVqXwRBcBnkL4ogCHmGx7vUQ/jVOfj2n6nIXyA/AoMKIbRGWVRrUBkVlM58xEcrR+DxLnXNbaypkMUS8AWWLKQHc+ZNszrLwsHNpFlWg0zbQjVrZjZffosUQgucNSs1tpej7n3WzWqhplip6dZsmUZLNi1o1S3a7OyvaYrV++w9bnkdWttqDmb5fstmaBRivZaUqykc8OvXbzIh40Y6stIykEZFkZb3xb+gNxp3rcPvQ5GgQlhy8VuUqlDCEhAbA++yVUujQcfa+s8PPVYJbXo3g2+ALzq/0Q5FShVGz1FPGQoXt6zYgS/f/B5fvfV/2LQsOgc+UYIgPMhIJvk/Qq0Wze6yg+rkoC55qNILdQkmSzU/V5eHfKzVsuqCler8oJqfGxpt2M1SGc3DPdRq3yuX7Vb7qlIKR1XDKlnx1vO4+/rYr1x2IKtwaGBuqJS2vyQksoq8z+/frcWGpVvRd0IvPNywit69bfjcgehfcyj/TIHx+Oc+Zxu4TMtyqbefF2q1qI7Ny3cYdcBm4bHlB6WtM7WUNpk4GKd92ItZyf6mU7BIumU1w6ydz9JxT+ukx4E4P6UlWLVojdX205re13wO5bbayERDfT7LMrN+PJ/fZO5vYpuZ1rLIqt2ddr8jSzd7WL4wJFxKxvpft6FO6xqsOZ7QazrOHTG3nW7Tuyl8/b1Rs0V1/h1QASVlnbesNDeIqdWsun66N6b35c2W4iFF4ZHPnZ+uRNnsOS8J/zF3u6yuSixUiYGDv9m3HK5KCh01tlD38VbmKdWZwYEzhsFFSpFPqPOpQZ6hnNMw5yrXpkov1GswzKGqG5WyIkJj1XptynukuGCp+7vly2dXkuHQZQsOpImqtCMj/d4dTFwcCZIFQcgzZKRnYOaQORw0zScrsRUj9ccmvfgF/yH3yO/JfspaExGfgt4oXbEkhs1+HdtW78bm5duVANmNO775BvigcFAhnPjntB5QhrWsjh2R/3AWusxDpXFSb5Nso8NVg0kt+NQCW9XpwtK22uxqQdleatJnKR7k8FlpU609Ac11HNRaAljLP2oHa+06eLLVCwCzjHlc3bHCjiuFfgo7Xsf8BcQbKVdT+b6Q6qVRr3VNtuGjzoWfvfYdT7zRa/YgevUu/ZiCxQLw/OhuCCpXnDsnfvbatziw8RD6f/ICpqwdi9MHz6LtS82y1VDmh2Nf8e3iZYrecX9BEIS7QeQWgiDkGfJ55kOLno1RwMeLHRBUPCxe4dRxj3D3cEfLXo0x/9QMfL1tAvssdx/SCT8e+wKlK5aAG2eKs5CWehPPDO6IaX+NZdsyLfu6I2IPP05BcpESAWjXpyl3h3tuaCfUb19T0etmmWUbijRBDzjVYJSlDsr/uiTCKvcg7S9lnfXzpWcYz23p6sdSiEzaT3tORUahOVRoXQP1ttTm6+B43cMNnvk94J7P3ZKptQbI9BpVUqjxCgfYJpzedwaLp/0GDw939q4OfaSM9fWpxySk6l7VZNt3KPoYH0dtxKmJSKcBrZFf9WS/DRQcS4AsCEJOIJnk/wrbpYbsNB0x2V/CcLi0oVSVqrIBd0ODkkz7t1W5hXq/4XqUZTCla5MqjTAsPzkyY1eXitTlLdV9QjUnVxuLKNeQlW69Nne1H72hkvfOEgvhwWLEj2/pt4/sPM6NR0iTPH7VKPZZDixVGPPHL0XT7o+h3Ust9H0pEIw7Fc+FeVSIV61BJW48QjZk5GAxfeB3KFm+OI7tOcXnoII/Dcoo12jyEBp3roPugzvirwWbENbyEYRWL4PwGZHYEB6tZ401+zjtOc1ZXyWDq2aY6edbitFMcPNwtzYucVeXPJVCQO1cNgEqvRZ2ADFpPsq2lfsmLogzjCYlgxx3Mt5Q2OflQ41WlCVnkwmLpq7k26UrBRnGKBXWkbSC7PhOHTiDstWCuRvilt924uHHK6NwCbOtn/BgcNu/2dlwzXDoIqW6GDlodGWQRjiYj9TmGga5ozrnKnOT6lhlcHNS91HGs8HZyYHMwyCrcCSTUOZZg/RTndPV98TB+26QWDhwmkIelVU4QoJkQRDyJNRg5I36ZrnFpIgxqN2qBpr1eBzvNBnDbaj3b4rBvI+WoICvFzckoUzm/AlLWQqQkZaBfetj8HX0ROzbFIO18zfg4JYjfK7hcwZi08odWL9kG9uTUbBH7P37IG87/tiLE//EstvD9/umYhPJNwibYFXLSOvuxqpuWMVGc+zh4QYvb0+kJt+wBMOKRliXa1iOsbV2M5mQnqp+kTZnobWJ256Pfb78Hsggf2i1cYhCh74tsOKbP1iTbVOLh3rtasG9w6NY9uVqZKRnovlzDVGyfAm+tIadqaAPeLRFdSw6/012f62CIAj3DQmSBUHIk1BRnsb1a9Zi2Iq1y3OQXLR0IGJjzvF9gxqN5iCOuHGNfJVr4dGWj6BS7fIY//x0nD1ynuUZhYoXRHp6hq4/Pn8sDrUt2mTNNo4CZIKamlDQnEWrPpaOeCRfoAyNnqWxBLIcKHt4mLPDlnbWxmI7azEdJZxSLXrqW23gsriQkB0mHFnBGTAZM0t2jsm4ns5fBhLjE+Hp5Ymewzvz+7Fo2m/8+Mpv/2QPaQ3KqCdfuYaq9SpiwJQXMH+CuWsesX7JVv4C0nFAa5bGCIIgODPyV+p+oy5VODJVd1Tx60DCoTpRqEsq3NnKnqG6asCuyCpgcrO/9KNKGtIy727ZS60+duDOYZSg2F8eUh0/jBIL3Hk56QFbHhLM1GhSDR8uH8FL+w0719XvZxs3zpDmQ7XHKuPi6Uvc6Y1o17clmvdoyFlnClIjf/qbM8JEwaL+fPvTfrNYFkAd+G6m3sCl2Evo+GorJF1JxsbwaGRSUGwC3pnZD1P7zbJoit1QOCgAvUZ1xZeD5ipdrK3Si4frV8C+zUesRXUUKGsXbTJxxvuGImvQAmm+rbzu9BuWfZQW0XY7ndopwus6sA3+2RCDkwfOmLPH2q6Zmbh6IYFvUwe8Vyb0hH8RP8we84tZakF/mizDbG/UfkyLGqc7i8SdjtfPo+uQv1yDVr0as5sFdVLU9OKCcK9/tw1NMVR3C1VqqMxfhv2VudVDcVvSJU02c5abr+JKoc5N6jnVVRxHTbtU1wsHUkmDS4aKKtF01GzL7c4SCxWH+7g5kL44iElu2c+FkcI9QRDyLA06hqFxtwYGb10vH/MXwxspN3Fg82GkJKXCr7AvGnerj8HfvMoBMrF8RgQm9/4KJ/fFssPFlfMJrFkmKDPaqHMdjm+b9miIt754GaPnDcK4JUN0ycGXb83WvwBStnlK5GjW3lplC5qrhLl4bt+GQwY3DFZAaN7GJhNnuPXHlSJADoYVz2XKXJeuUNx8EZbHzAV55n2DQorw/z4BXsYvw1km+PgWQJESBVGmYpB+X8hDpXDqoDlzToF6jcYPsWZ5zthFyKImKaRLzp+Pix1pYizgW8Bgx1YlrIKuhfawfOEg3nxsFN7tMB6zR8/Pgd+8IAjCv0cyyYIgPFB8ED4Mu//aj91r/0H4l6s5u7nowncIKOJv2O96snWFpmRoEGdoEy4lsTPDtasp+HPeBoTWDMH2NXvQqGs9HI4+hrIPW9wcACTGJ+uZ19qtqmP5jEhE/77bnOmhBDJ14OOAVy3cs2Z3h37bH1sj9mA9ZafTb7Vk02/T+WyKbM4cNnsRa1Bx3Vuf94ZfIV8smvobLhy/iNSrltenHLtsxhp+bXxaD3dQTvtmyg14eubjAkgKkjcui0bxkCLITMvg6y7g54X2L7fA0umr+Lgub7RlKcvpmLPIoCK99HTunPdIk2rchvrtRqMN15aqvM+CIAjOhATJOUV2lhqyU7GrSghU1wsFdTkpO9WvhmUapbGIQeahmoorFbtQ9jdcg7IkpB5reF6DpCS/fdeOzHtf+hGJhZAdfAv6cmc+0hwXK1MUFWuH3hIgE08P7oiAov5ISUjB1bhENHyyLvv5UpCsyRc0/fE7Tcay73LtVo/g2WFP4sDWo9ya+diek0hNuo5vh/+sn1frzEefdb31tWXIkAQkI808zik47vx6G7w4phsmvTwTh7YfNzYTITQLNw68lTbYSjBdtX5FxGw5ik/6movjyL/YlkLF/ZEQl6gHyHxqspDLMuHCCatc4uqFRHw3aj6+2PghPL08kJGWifz58+Hi6XjOttPrqVQ7FBN7f4k/f1pv/iKQZYK3XwEsODsT/oV90PrFpojZegTXElJ4336Tnv8Xv03hQcYg1XM0L6hzmQMpo2H+cjRXKufJupp4x6ZXjhqXqO4TjmSHhnM6kJEY3KLU8yuSEjc1HMiuTMLui8m6u/vzEBIkC4LwQOLj743uQzs7fJwKy57o2xLvdpqIbat24bdv/sS09R9gzZy/sHJmpLnDniUYpYCPAkQ65uWPnuX7vxv5M07sO3VrYKsmg8nOzRIo0yRJ2eqGT9bB9sg97IpBW8Va5XB090nLOai5iEWroXbZ02QTbubugj5+Xog/a7aoO7L9mOF1nToQa84SW46hYkJv3wK4akrgDn9B5Yvj/PE4wzFUsFgytBhO7juDjv1boUyVUph34muMfeoTdv0gLbY2yX83Yh7OHTMfr91HEpfeld5EUnwSBkzrg2Fz3riH35ggCML9RTTJgiAIFii4vXDyImtuNUKqmjOvpSuXROgjIXhtam/MOfQ5xi4eYs5AW2JWCggHf/sq73tk1wksmroCN1No5cW8Q+lKJW7twGc5zjaLpLlBEHqAzPubm3bQ9sKYrihcIsAaNJtPhpSEa7iWmKI3IKHugnTbw5OcNcxZJi1AJjLTMnHu6AXz4SYTkq4msUREw9u/AJr3aIAzMWc5+D4cfRQj2n+Mm6k30XNkVy5mVK8/Jem6HlgP+LQ3Pv5tBIb+3wDOVGdlmTBryA/cGVEQBMHZkSD5fkOZIG3LBiSx0DZH56Ge7Pp246bdzXhSrYuXeTlV29TzqM9LzhLaRvIPbTN39TJvtISkber51f3dvQrom7o/LRVpm8P3RzmnYXO0jyDcA5/2m4kXQgdi4vPT9fv6TeqFb3Z/wo4NGsWCi6BYmSJIumTWHROUEda6xG1cus3cCU8JiENrlFWCWa0N9K3s33TI2uXOxruYAujHOoVh0Jd98fyopzAzegICgwreYvx/nTyUYXbEMJ8jizvwaYGwuUufMTi37IgbSTfwv29fReWwcnyN15NSsXT670i+moLL569i19p92BGxF8u/XoMKNctxa2kisGQhTm4/N6IL/Ap6IyHuKnZG7GZJxZ51+9lGTuvYR5lsQfjXOJoXHMwj6pzlcA5V50F1fwUah9qmzqEsjdA2B8+rHkvuUtpmOL8yJzq8HuX1Zt28oW+Ga3MQP6j7yLx5e0RuIQjCAw/Zty2cvAyblkfzzwe2HMbuv/bhl8nhaNO7OZo/+/gtx1QOC8WLY5/GmcMXUKR0YTzavDoXxhGBJQtbu4RY7OOosE8roiO9sh77mrJQpHQgvLzz49zROCTGJ6Hb209g7YJNuJZwDWnXza2n2/RughYWezoqoos9dA4bwrfhRqr5SzBP0ooCo0LNshj98yB88dZs7PzjH84oFwsORPyZK+x37B/oy44dhguFiTvifdD9U/08us2cajnn5sa+0s+FvMY/P9GvJQZMfZHbUZNPc8Tcv1iCUjS4CH58fyFWzIzgAHrKX+9z0Eyd9wRBEJwdCZIFQXjgoTbViz9dYfBY/mbYjziy4zhrbqkxRsnQEoZjKFB84b1n7J6v8+ttkX49HedPxqH+E7VRpW4FRPwQhZ/HL+VMK0kRPu0/i+UaCRcTcfnsFQ6SNW3yxmXbcOXcFb2Yz7eQLyLmrOOteqMqXDAXs+2onimjrLaHuzsuWCzq+Lh8HnB3d0OjLnVw5UIC652pCQg9Nz3nlXPWFaZCxQJw4/oN3LhmpzDXBLZuoyCbgv3+k59HWJua+ODpqfoulCke2nIchs4eyJZuJNcYt3Qo6ncIw8pZkbxP8ZBi7EvtqRYCC4IgODESJN9v/qsljexUmzqozHW0f3acNGjJ505uGI5M3bNjhJ6t98eRsbkg3CPlHwkxZEur1quEcg+XwdGdJ9i1ok/lN/HF1gmobPH8zQ5PD+nI/1NG9VD0MXQe2A7PDO7E9819fyEHndSgg5py0HO0fakZVsyI5Oc/f+wiB83UNbD641WwJ+qAfl7yU6ZufubrNSs34i3uEjwe3N0REOiHwzuP4+WH3+HmJs8O78xdBilIpgBZ0xqbZRlAQnwiytcIwYm9p/XxTIF9rzHdEFDYj4sU6Xh3Dzd2p6D3qdXzTXBiXyyKBgci1uKjTNl4kpoQl85cQYlyxfl112lbE4FBhSRAFnIOBxJGR3OZ0enC/nkcHqvMle6ebnd0rjC6T1jnUFNqqt3nNZzHwbzsaE6/66YhMp/eFgmSBUF44GnTuxlqNK2GrMxMJF9JQeU6FTgQpOzxB89M5YIzszTh7hnc/H0OPlv2bIQRP77J9z35elvEx17GHz+tR/Lla/r81PrFJlgzZx0/NxUMjl81koNT8nXW8A3wwaAZr3AjlGY9GmJ8z+m4GHuJA1migLcnki4l8W1tKiRpBFmt/a/lB9yBMLhSSXwa9T43N/lswLdcyFe5dih6j30GH3SfhsysTA7sZ7+7AKcPnmUJhsb1lJt4ZXxPrF+yGdeTUxF3Ih21mlfHlQtX0fmNdmx7d2z3SVw4cRHh01dhyPevo3TFkvf8uxEEQcgtJEgWBEEA9AI0KMnihl3qove4HvAP9EP9DrXv6bzJV8xBcJLl/7QbaewI8b/vX8OFk/EsVSBIt/v2jH6ImBPFPz/xSkuWWfzwwWI9M0Xd9CgzTX7GFMAv/XwVxi4ezEV1M4bMxaXYy3ioQWVsj9jDx5BVG8k7mjzdgLXCH68cgT/nrUenV1ujULGCaNenOUqWL479mw6ztRvJP8b9+j8OvKnJx/kTcYYAmSAZCN1Xt92jXMTH0ovw4frjX2+fhLFdJ2P/xkNo2uNWLbdGzLYj/AWEsvh0vLSmFgTB2ZAgOTfJ6WWObJzTkbl6ds5pWKK629eVnfNk4xoE4b+EgsLfZkWiYee6qPZYFSyZthJzx/4C/8K+aNOnGfsJ3y2TI8YgevUuLv6jALfvw++w5OHj30Zh4pp38b/m73OQqjXd4OI4E9hJYnjrD3F8z6lbXC6o8G/GkB/4tk+AD96Z1R8f/DoU21bv5oB+5x97WRf86br3UbBogH5crWYP86ZC+msqGFwxKxLPDO7IGuqfT32NM0fOszwj/IvV7K2cmpTKrhSRP0Sx/duYhUPQ4dXWfM0qVJT34bIRd3xf1i3YyNl02s4evaBb7QnCPXGX80J25rvszI+qfMJ4Oaqk0H6DEsM1O5JKOpB8/GfSRJlPb4sEyYIgCBY+e3UWO0Gs+u5P/Hppti5zoEzt79+txVODnrjrc1I2lzbi+N5T3JqZOLjlMAeb+zfG8M893+3GGd9df+3HheNxaNunGRZOWa6f552Z/TDnvYXc/e/70fPZvYI0wWGta/Djg5u9j0tnr6B0xSDWIZNs5OyRC4YgWWPfphh8/fZclnr0ndCTiwgJ3wBvdHmjPTckqVKnAnz8C6Btn6asmZ4/YSlb0yVeSsapA2f0hiz3SvtXWmLfxhi2xguuLHIMQRCcDwmSBUEQLIRUC+YgWQvaeo/rzlnZrIxMVHy03L8+P0kLBkztzR3tOr3WBpN6f8n3kwaZstckORg8q7++P3XvI0eMdi81xxOvtMLlc1fxw7jF7G7x0coR8C/sxwV+1ACFAmQin1c+dHy1NYqUKswtqW35/fs/2Q9ayzKRhpj8lClgL12pJE4dPIM1s9dyhnfziu24mZqGlr0aY+mVORzk//nT32j1QhMc3XUCe6MOoNWLTRAQeGtb7ztRtloZfLl14r94NwVBEHIWCZJzEydY5jBUyDrq7e7oOu9y2eiuzy8I95nXPu2D9i+31IPkKnUqYuH5b7kDXhHyPv6XUDDc7R2z6wUFnNtX7+bbFART5taWpMvJyEzPYOlDz5AB6PRaW9Ytl60WjKKlAvX9KLimLC9lkDv0a4Wub7ZnecYfP/7NPsqUEW7QMQy+BX1x8fQly1EmLlD08vbEmIWDEVK1FOuyX35oEHswq2iSCsr6hk5+gTXJTxV5iXXLh3cew4gf3vrX740g5Ah3O9dkQwroUAJxl8/lUM7xX82hMrf+ayRIFgRBUPS05s54Vu4lS5odylQtxY1BYg+dRafX2+r3U1DrmT8fB74LJoWzVdzGpVv5sUVTl7MMhDLRXQr35iLAUfPeRqOn6mPWrk/Y5aJOm5q874Zft2JyH3OmmnisUx18sGw4TsecZW1xxwFtsHXlDsx97xf2Yl588Xver0TZYoYgObRGCF777CXDtVMRoV9hXw6SC9mRcwiCIOQFJEgWBEG4T2SkZ7A1GskayDN4UsQY/bFzxy6wddr4Xp+zVGLW7imo3fIRRK/ezc08ipYORNc3zZro7RG7WSdMzBu/hINkyi7TprFu4SbDc1NmOTMzE+uXbOEVpJitRxBnaT5CWWhy3CDGhQ/D0d0ncfFUPPauP4CnBnXU222rXybIxeLEP6fxSOOHcvAdEwRByD0kSH7QyellGlkGEgSdke0/xu61+9DlrfYY+NnLnPklTTF19Rvz5ES9s13cyXjePlwxAjsj9yK4cilDx7+m3Rvil8nLWKPc7W2zfMPWXu3vRZv5NgW/5FVMcgsPDw8M/PxlbFi6FT1HdsW8j39l+cXIeW/By9uL9yeruGoNKvPW7DYWblQQSP7IguDU3M+5xpEc4r9ydnL0XEKOIUGyIAjCfUKzc6OMMRUEjmj3EQfJT1s68VGA/NiTdbjjHxX5kYaZ/IgJ8j4e3/Mz1GjyEMYuGYqfjn/t8HmoeYgG6ZipO54GdcCjjXi0ZQ2snv0XRneciA79W+Hlj3vm2GsXBEFwNSRIFgRBuE+MWzoUfy/ewnpgCpJJ9nAj5SZqtajOGVySVFDbZ1uiFm3G/42ax41JNoZHs89y4RKFDPtQxzvSMVOGt/rjVTFh9WjurkcZZFVyse6XTRyYk5sG8ds3EVwguHT6qjsGyVP6fs3XT8WDLXo2/s/eF0EQBGdEgmTh3pHlHkG4K6o3eog3IqhcMaQkpKJQ8QBu6FGzqbHJhwY5SUx4/nPOMvsV8kXHAa1vCZBJXvF2o9Hw8MzHBXwkz9AK+FSomI+y0cSUv97n5+w5qhvmjFmA9n1b3vbaSc8cMXcdB/Z/zFsvQbIg3I6cliwK9wUJkgVBEHIByhz3Gt3tjvuREwVlhql99fNjntYt5FRiY86x/VtmRho7X1CQTCyYuBSRP0ah/+QXUL8DWcD58P1ubtZGIOR6QdudID0znefvJVvw7PAu9/CKBUEQXAsJkgVBEJwY0iVP/uM9bmntyI6u2bMN9SLAMCWDPGfsL5yBXvjJcg6SyXLuy60T4OnlqVvdZWVlsUsFdQWkwP12kHZa008LgiDkdSRIFnIWaRoiCP8asly7nV8z2cn1evfWrDQFtJE/rOPufhpV6hq78I1qPx47IvewllnzShYEQRAkSBYEQcizvDKhF2+348iu4/x/4qUkpKelc8AtCIIgAA6M/ARBEIQHgUFf90PR4EB0efMJCZAFQRAUJJMs5CwisRAEp6bJ04/xJghCHkPkjv8aySQLgiAIgiAIwv0Okm/evIlatWpxhfbu3btz+ukEQRAEQRAEwfmD5GHDhqFUKbNnpyAIgiAIgnAfIImFtgnOFyT//vvviIiIwJQpU3LyaQRBEARBEATBNQr34uLi0K9fP4SHh8PHx9zlKTvSDNo0EhMT+f8MpAOmnLpSQXBu+PNPSQFT7g8CR2M0KSkpF69KEHIP7bPvzONT5lDhQSbj38yhphwgKyvL1K5dO9OHH37IP584cYKuzLRr167bHjd27FjeTzbZZLt1O3bsmCm3kTEqm2z2NxmfssmGPDdG3eif7AbUI0aMwKRJk267z8GDB1lisXDhQkRFRcHDwwMnT55E+fLlsWvXLi7iy+634ISEBJQtWxanT59GwYIF4apZhjJlyiA2NhYBAQFwNeT6cx/KBoWEhODq1asoVKhQrl5LXhujrv75cPXrzwuvQcZnzuLqnw+5ftceo3cltxgyZAj69Olz231CQ0Oxdu1abN68GV5eXobH6tSpg169emHu3Ll2j6X9bY8haHC76i9Hg67flV+DXL9ztCbObfLqGHX1z4erX39eeA0yPnMWV/98yPW75hi9qyC5WLFivN2J6dOn46OPPtJ/PnfuHNq2bYtffvkF9evXv+uLFARBEARBEASXL9yjtLaKn58f/1+hQgUEBwfnxFMKgiAIgiAIwn9G7q8P3QZaNho7dqzd5SNXwdVfg1x/7uPMr8GZry07yPXnPq7+Gpz5+p352h6U1yDX79qv4a4K9wRBEARBEAThQcCpM8mCIAiCIAiCkBtIkCwIgiAIgiAINkiQLAiCIAiCIAg2SJAsCIIgCIIgCDZIkCwIgiAIgiAIrh4kU8tNam3t5uaG3bt3w1Wg1tx9+/bl9tze3t7sGU2WJGlpaXBWvvrqK5QrVw4FChTgJjDbtm2DqzBhwgTUrVsX/v7+KF68OLp06YJDhw7BVZk4cSJ/5t9++204O644Rl1xfBIyRp0HVxmjrjg+XXWMyvh0/fHpckHysGHDUKpUKbgaMTExyMrKwqxZs7B//35MmzYNM2fOxKhRo+CMUHfEwYMH8x+hnTt3ombNmtw18eLFi3AFoqKiMHDgQGzZsgWRkZFIT09HmzZtkJKSAlcjOjqaPzc1atSAK+CKY9TVxichY9R5cKUx6orj0xXHqIzPPDI+TS7EqlWrTFWrVjXt37+fvJ1Nu3btMrkykydPNpUvX97kjNSrV880cOBA/efMzExTqVKlTBMmTDC5IhcvXuTPTFRUlMmVSE5ONlWqVMkUGRlpatq0qWnQoEEmZyYvjVFnHp+EjFHnwJXGaF4an84+RmV85o3x6TKZ5Li4OPTr1w8//vgjfHx8kBdITExEYGAgnA1avtqxYwdatWql3+fu7s4/b968Ga76XhPO+H7fDvom36FDB8PvwlnJa2PUWccnIWPUeXCVMZrXxqczj1EZn3lnfOaDC0BNAfv06YMBAwagTp06rE1ydY4ePYovvvgCU6ZMgbNx6dIlZGZmokSJEob76Wda8nI1aImOdEiPP/44qlevDldhwYIFvExHS0XOTl4bo848PgkZo86Bq4zRvDY+nX2MyvjMO+MzVzPJI0aMYCH17Tb6QNFASE5OxsiRI+FsZPc1qJw9exbt2rXDM888w9/shZz/Jrlv3z4eMK5CbGwsBg0ahHnz5nHRR27h6mNUxqdrIGP0wRyfhIxR52fgAzw+3UhzgVwiPj4ely9fvu0+oaGh6N69O1asWMGDRYO+pXl4eKBXr16YO3cunP015M+fn2+fO3cOzZo1Q4MGDTBnzhxegnHGpSJajlu8eDFXtGr07t0bCQkJWLZsGVyFN954g6/377//5qpoVyE8PBxdu3blz7j6macxQJ8ZqlBXH8spXH2M5sXxScgYzX2cYYy6+vjMq2NUxmfeGZ+5GiRnl9OnTyMpKUn/mQYJVYnSB5BsVYKDg+EK0Lff5s2bIywsDD/99NN9CXLuFXpf69WrxxkIbbklJCSEBwx983d26GP95ptvYunSpVi3bh0qVaoEV4KyPqdOnTLc99JLL6Fq1aoYPny40y155YUx6krjk5Axmru40hjNC+PT1caojM+8MT5dQpNMHywVPz8//p98El1pcNO337Jly7KGir49awQFBcHZIOsa+tZL+jUa6J999hlbv9CHzFWWh37++Wf+Bkw+jxcuXOD7CxYsyB6bzg5ds+0g9vX1RZEiRZxq8s0rY9TVxichYzR3caUx6urj0xXHqIzPvDE+XSJIzguQzyAVGtBm+0fJGZP5PXr04D9C7733Hg8OMp9fvXr1LYUIzsqMGTP4f/qjqjJ79mwuYBEEVx6fhIxR4UHC1caojM+8gUvILQRBEARBEAThfuJ8indBEARBEARByGUkSBYEQRAEQRAEGyRIFgRBEARBEAQbJEgWBEEQBEEQBBskSBYEQRAEQRAEGyRIFgRBEARBEAQbJEgWBEEQBEEQBBskSBYEQRAEQRAEGyRIFgRBEARBEAQbJEgWBEEQBEEQBBskSBYEQRAEQRAEGPl/dg+I5arp+r4AAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "with torch.no_grad():\n", + " # Sample and evaluate density at each point\n", + " x, log_p = dist.sample_and_log_prob(100_000)\n", + "\n", + " x = x.numpy()\n", + " log_p = log_p.numpy()\n", + "\n", + " x_prior = prior.rsample((x.shape[0],))\n", + " x_prior = x_prior.numpy()\n", + "\n", + " # Sort by density\n", + " idx = np.argsort(log_p)\n", + " x = x[idx]\n", + " log_p = log_p[idx]\n", + "\n", + " # Plot histogram and scatter plot with points colored by density\n", + " plot_xmax = 4.0\n", + " plot_limits = 2 * [(-plot_xmax, plot_xmax)]\n", + "\n", + " fig, axs = plt.subplots(ncols=3, sharex=True, sharey=True, figsize=(8.5, 2.5))\n", + " \n", + " grid_values, grid_edges = np.histogramdd(x, bins=64, range=plot_limits, density=True)\n", + " axs[0].hist2d(x[:, 0], x[:, 1], bins=64, range=plot_limits, density=True)\n", + " axs[1].scatter(x[:, 0], x[:, 1], c=np.exp(log_p), s=1)\n", + " axs[2].hist2d(x_prior[:, 0], x_prior[:, 1], bins=64, range=plot_limits, density=True)\n", + " axs[0].set_title(\"Histogram\", fontsize=\"medium\")\n", + " axs[1].set_title(\"Scatter + color density\", fontsize=\"medium\")\n", + " axs[2].set_title(\"Gaussian\", fontsize=\"medium\")\n", + " plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "bd48e24a", + "metadata": {}, + "source": [ + "### 6D" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "c7d87086", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 tensor(15.6921, grad_fn=)\n", + "50 tensor(0.5616, grad_fn=)\n", + "100 tensor(0.1513, grad_fn=)\n", + "150 tensor(0.0573, grad_fn=)\n", + "200 tensor(0.0320, grad_fn=)\n" + ] + } + ], + "source": [ + "ndim = 6\n", + "nsamp = 10_000\n", + "\n", + "dist = NNDist(width=32, depth=2, ndim=ndim)\n", + "prior = torch.distributions.MultivariateNormal(\n", + " torch.zeros(ndim),\n", + " torch.eye(ndim),\n", + ")\n", + "optimizer = torch.optim.Adam(dist.parameters(), lr=0.01)\n", + "\n", + "history = {\"loss\": []}\n", + "for iteration in range(201):\n", + " loss = -dist.entropy(nsamp, prior=prior)\n", + " \n", + " loss.backward()\n", + " optimizer.step()\n", + " optimizer.zero_grad()\n", + "\n", + " history[\"loss\"].append(loss.item())\n", + "\n", + " if iteration % 50 == 0:\n", + " print(iteration, loss)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "edd26498", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(3.0, 2.0))\n", + "ax.plot(history[\"loss\"])\n", + "ax.set_xlabel(\"Iteration\")\n", + "ax.set_ylabel(\"Loss\")\n", + "ax.set_ylim(-0.2, ax.get_ylim()[1])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "57f67080", + "metadata": {}, + "source": [ + "This time we won't make the scatter plot: the density at each point is in 6D space, not the 2D space in the plot." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "cf1efa6e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "with torch.no_grad():\n", + " # Sample particles.\n", + " x_model = dist.sample(100_000)\n", + " x_prior = prior.rsample((x_model.shape[0],))\n", + "\n", + " # Plot histogram and scatter plot with points colored by density.\n", + " plot_xmax = 4.0\n", + " plot_limits = 2 * [(-plot_xmax, plot_xmax)]\n", + "\n", + " fig, axs = plt.subplots(ncols=2, sharex=True, sharey=True, figsize=(5.5, 2.5))\n", + " axs[0].hist2d(x_model[:, 0], x_model[:, 1], bins=64, range=plot_limits, density=True)\n", + " axs[1].hist2d(x_prior[:, 0], x_prior[:, 1], bins=64, range=plot_limits, density=True)\n", + " axs[0].set_title(\"Histogram\", fontsize=\"medium\")\n", + " axs[1].set_title(\"Gaussian\", fontsize=\"medium\")\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5bad2980", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "gpsr", + "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": 5 +} From e7f8c572431aded541cb4a17e29f714e473a057d Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Tue, 30 Sep 2025 12:08:42 -0400 Subject: [PATCH 07/27] Format --- docs/examples/jacobian/test_jacobian.ipynb | 1 + docs/examples/jacobian/test_kl_nn.ipynb | 20 +++++++++++----- gpsr/beams.py | 27 +++++++++++----------- 3 files changed, 28 insertions(+), 20 deletions(-) diff --git a/docs/examples/jacobian/test_jacobian.ipynb b/docs/examples/jacobian/test_jacobian.ipynb index 35c1cd8..0ba7d35 100644 --- a/docs/examples/jacobian/test_jacobian.ipynb +++ b/docs/examples/jacobian/test_jacobian.ipynb @@ -59,6 +59,7 @@ "def transform(x: torch.Tensor) -> torch.Tensor:\n", " return torch.sin(x)\n", "\n", + "\n", "def transform_deriv(x: torch.Tensor) -> torch.Tensor:\n", " return torch.cos(x)\n", "\n", diff --git a/docs/examples/jacobian/test_kl_nn.ipynb b/docs/examples/jacobian/test_kl_nn.ipynb index dd8d4a1..1875507 100644 --- a/docs/examples/jacobian/test_kl_nn.ipynb +++ b/docs/examples/jacobian/test_kl_nn.ipynb @@ -130,11 +130,15 @@ " plot_limits = 2 * [(-plot_xmax, plot_xmax)]\n", "\n", " fig, axs = plt.subplots(ncols=3, sharex=True, sharey=True, figsize=(8.5, 2.5))\n", - " \n", - " grid_values, grid_edges = np.histogramdd(x, bins=64, range=plot_limits, density=True)\n", + "\n", + " grid_values, grid_edges = np.histogramdd(\n", + " x, bins=64, range=plot_limits, density=True\n", + " )\n", " axs[0].hist2d(x[:, 0], x[:, 1], bins=64, range=plot_limits, density=True)\n", " axs[1].scatter(x[:, 0], x[:, 1], c=np.exp(log_p), s=1)\n", - " axs[2].hist2d(x_prior[:, 0], x_prior[:, 1], bins=64, range=plot_limits, density=True)\n", + " axs[2].hist2d(\n", + " x_prior[:, 0], x_prior[:, 1], bins=64, range=plot_limits, density=True\n", + " )\n", " axs[0].set_title(\"Histogram\", fontsize=\"medium\")\n", " axs[1].set_title(\"Scatter + color density\", fontsize=\"medium\")\n", " axs[2].set_title(\"Gaussian\", fontsize=\"medium\")\n", @@ -181,7 +185,7 @@ "history = {\"loss\": []}\n", "for iteration in range(201):\n", " loss = -dist.entropy(nsamp, prior=prior)\n", - " \n", + "\n", " loss.backward()\n", " optimizer.step()\n", " optimizer.zero_grad()\n", @@ -254,8 +258,12 @@ " plot_limits = 2 * [(-plot_xmax, plot_xmax)]\n", "\n", " fig, axs = plt.subplots(ncols=2, sharex=True, sharey=True, figsize=(5.5, 2.5))\n", - " axs[0].hist2d(x_model[:, 0], x_model[:, 1], bins=64, range=plot_limits, density=True)\n", - " axs[1].hist2d(x_prior[:, 0], x_prior[:, 1], bins=64, range=plot_limits, density=True)\n", + " axs[0].hist2d(\n", + " x_model[:, 0], x_model[:, 1], bins=64, range=plot_limits, density=True\n", + " )\n", + " axs[1].hist2d(\n", + " x_prior[:, 0], x_prior[:, 1], bins=64, range=plot_limits, density=True\n", + " )\n", " axs[0].set_title(\"Histogram\", fontsize=\"medium\")\n", " axs[1].set_title(\"Gaussian\", fontsize=\"medium\")\n", " plt.show()" diff --git a/gpsr/beams.py b/gpsr/beams.py index 4c03c24..2bb722e 100644 --- a/gpsr/beams.py +++ b/gpsr/beams.py @@ -173,46 +173,44 @@ def sample_and_log_prob(self, n: int) -> tuple[torch.Tensor, torch.Tensor]: x = torch.matmul(z, self.unnorm_matrix.T) log_prob = log_prob - self.unnorm_matrix_log_det return (x, log_prob) - + def entropy(self, n: int, prior: Any = None) -> torch.Tensor: """Estimate the entropy of the distribution. - + Args: n: Number of samples. - prior: Prior distribution q(x). Must have method + prior: Prior distribution q(x). Must have method `prior.log_prob(x: torch.Tensor) -> torch.Tensor`. Returns: Entropy estimate. If `prior` is None, return the absolute entropy: - + H[p(x)] = -\int p(x) \log(p(x)) dx. \in [-\infty, 0], - which is maximum at p(x) = uniform (H = 0). Otherwise, return the relative + which is maximum at p(x) = uniform (H = 0). Otherwise, return the relative entropy (KL divergence): - + H[p(x), q(x)] = -\int p(x) \log(p(x)) dx \in [0, \infty], which is maximum at p(x) = q(x). """ x, log_p = self.sample_and_log_prob(n) - + if prior is None: return -torch.mean(log_p) else: log_q = prior.log_prob(x) return -torch.mean(log_p - log_q) - + class NNDist(GenModel): """Generative model using non-invertible NN transform.""" + def __init__(self, width: int = 20, depth: int = 2, **kwargs) -> None: super().__init__(**kwargs) self.transform = NNTransform( - n_hidden=depth, - width=width, - phase_space_dim=self.ndim, - output_scale=1.0 - ) + n_hidden=depth, width=width, phase_space_dim=self.ndim, output_scale=1.0 + ) self.base_dist = torch.distributions.MultivariateNormal( loc=torch.zeros(self.ndim), covariance_matrix=torch.eye(self.ndim), @@ -244,7 +242,7 @@ def to(self, device): self.unnorm_matrix_log_det = self.unnorm_matrix_log_det.to(device) self.norm_matrix = self.norm_matrix.to(device) return self - + class NSFDist(GenModel): """Implements a normalizing flow using rational-quadratic splines. @@ -253,6 +251,7 @@ class NSFDist(GenModel): This class uses the Zuko library: https://github.com/probabilists/zuko/blob/master/zuko/flows/autoregressive.py """ + def __init__( self, transforms: int = 3, From f181398c9b3a90515402a3e8f237c762d167934f Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Tue, 30 Sep 2025 12:37:03 -0400 Subject: [PATCH 08/27] Format --- docs/examples/jacobian/test_jacobian.ipynb | 5 +---- 1 file changed, 1 insertion(+), 4 deletions(-) diff --git a/docs/examples/jacobian/test_jacobian.ipynb b/docs/examples/jacobian/test_jacobian.ipynb index 0ba7d35..5024f07 100644 --- a/docs/examples/jacobian/test_jacobian.ipynb +++ b/docs/examples/jacobian/test_jacobian.ipynb @@ -10,15 +10,12 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "8f899f1d", "metadata": {}, "outputs": [], "source": [ "import torch\n", - "import matplotlib.pyplot as plt\n", - "\n", - "import gpsr\n", "from gpsr.beams import compute_batched_jacobian" ] }, From 1c85029536855b405997eaf5905fb23594fefbff Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Tue, 30 Sep 2025 13:01:04 -0400 Subject: [PATCH 09/27] Format --- docs/examples/jacobian/test_kl_nn.ipynb | 3 +-- 1 file changed, 1 insertion(+), 2 deletions(-) diff --git a/docs/examples/jacobian/test_kl_nn.ipynb b/docs/examples/jacobian/test_kl_nn.ipynb index 1875507..163c44f 100644 --- a/docs/examples/jacobian/test_kl_nn.ipynb +++ b/docs/examples/jacobian/test_kl_nn.ipynb @@ -10,7 +10,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "8f899f1d", "metadata": {}, "outputs": [], @@ -19,7 +19,6 @@ "import numpy as np\n", "import torch\n", "\n", - "import gpsr\n", "from gpsr.beams import NNDist" ] }, From 3be021b3c3af29d78477dca388f0f8f37bd7ad3f Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Wed, 1 Oct 2025 22:20:31 -0400 Subject: [PATCH 10/27] Change name from test_kl_nn to test_kl.ipynb --- docs/examples/jacobian/{test_kl_nn.ipynb => kl_nn.ipynb} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename docs/examples/jacobian/{test_kl_nn.ipynb => kl_nn.ipynb} (100%) diff --git a/docs/examples/jacobian/test_kl_nn.ipynb b/docs/examples/jacobian/kl_nn.ipynb similarity index 100% rename from docs/examples/jacobian/test_kl_nn.ipynb rename to docs/examples/jacobian/kl_nn.ipynb From bb314cacdce9c3172caeda4d3498b3dba43af537 Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Wed, 1 Oct 2025 22:37:51 -0400 Subject: [PATCH 11/27] Add test test_jacobian_sin --- gpsr/tests/test_beams.py | 27 +++++++++++++++++++++++++++ 1 file changed, 27 insertions(+) diff --git a/gpsr/tests/test_beams.py b/gpsr/tests/test_beams.py index 0315bf4..2123c77 100644 --- a/gpsr/tests/test_beams.py +++ b/gpsr/tests/test_beams.py @@ -3,6 +3,7 @@ from torch.distributions import MultivariateNormal from cheetah.particles import ParticleBeam from gpsr.beams import NNTransform, NNParticleBeamGenerator +from gpsr.beams import compute_batched_jacobian class TestBeams: @@ -80,3 +81,29 @@ def test_nn_particle_beam_generator_forward(self, dim): # check to make sure emittances are not nan assert not torch.isnan(beam.emittance_x) assert not torch.isnan(beam.emittance_y) + + @pytest.mark.parametrize("dim", [2, 4, 6]) + def test_jacobian_sin(self, dim): + # Compute Jacobian of f(x) = sin(x). The Jacobian matrix + # is J = diag(cos(x1), ..., cos(xn)). + def transform(x: torch.Tensor) -> torch.Tensor: + return torch.sin(x) + + def transform_deriv(x: torch.Tensor) -> torch.Tensor: + return torch.cos(x) + + batch_size = 100 + x = torch.randn(batch_size, dim) + J = compute_batched_jacobian(x, transform) + + # Test correct shape of Jacobian matrix. + assert J.shape == (x.shape[0], x.shape[1], x.shape[1]) + + # Test correct values of Jacobian matrix. + xp = transform_deriv(x) + for i in range(x.shape[0]): + for j in range(dim): + for k in range(dim): + if j != k: + assert torch.isclose(J[i, j, k], torch.tensor(0.0)) + assert torch.all(torch.isclose(torch.diag(J[i, :, :]), xp[i, :])) \ No newline at end of file From bb43bf18400e0d5e1712c8ca133e4b0d68e1c09e Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Wed, 1 Oct 2025 22:38:33 -0400 Subject: [PATCH 12/27] Delete test_jacobian.ipynb --- docs/examples/jacobian/test_jacobian.ipynb | 103 --------------------- 1 file changed, 103 deletions(-) delete mode 100644 docs/examples/jacobian/test_jacobian.ipynb diff --git a/docs/examples/jacobian/test_jacobian.ipynb b/docs/examples/jacobian/test_jacobian.ipynb deleted file mode 100644 index 5024f07..0000000 --- a/docs/examples/jacobian/test_jacobian.ipynb +++ /dev/null @@ -1,103 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "ecf3fd1a", - "metadata": {}, - "source": [ - "# Test Jacobian matrix calculation" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "8f899f1d", - "metadata": {}, - "outputs": [], - "source": [ - "import torch\n", - "from gpsr.beams import compute_batched_jacobian" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "0f635886", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "tensor([[[ 0.9354, 0.0000],\n", - " [ 0.0000, 0.9734]],\n", - "\n", - " [[ 0.4106, 0.0000],\n", - " [ 0.0000, 0.7461]],\n", - "\n", - " [[ 0.9237, 0.0000],\n", - " [ 0.0000, 0.7843]],\n", - "\n", - " [[ 0.9502, 0.0000],\n", - " [ 0.0000, 0.9135]],\n", - "\n", - " [[-0.5227, -0.0000],\n", - " [-0.0000, -0.5571]]])\n", - "\n", - "tensor([[ 0.9354, 0.9734],\n", - " [ 0.4106, 0.7461],\n", - " [ 0.9237, 0.7843],\n", - " [ 0.9502, 0.9135],\n", - " [-0.5227, -0.5571]])\n" - ] - } - ], - "source": [ - "def transform(x: torch.Tensor) -> torch.Tensor:\n", - " return torch.sin(x)\n", - "\n", - "\n", - "def transform_deriv(x: torch.Tensor) -> torch.Tensor:\n", - " return torch.cos(x)\n", - "\n", - "\n", - "x = torch.randn(5, 2)\n", - "J = compute_batched_jacobian(x, transform)\n", - "assert J.shape == (x.shape[0], x.shape[1], x.shape[1])\n", - "\n", - "print(J)\n", - "print()\n", - "print(transform_deriv(x))" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "e4bc4e32", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "gpsr", - "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": 5 -} From 913c247477011841ba6d1bf3a47c162b9956a63a Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Wed, 1 Oct 2025 22:46:42 -0400 Subject: [PATCH 13/27] Add test test_nn_transform_jacobian --- gpsr/tests/test_beams.py | 59 ++++++++++++++++++++++------------------ 1 file changed, 33 insertions(+), 26 deletions(-) diff --git a/gpsr/tests/test_beams.py b/gpsr/tests/test_beams.py index 2123c77..3a7ca61 100644 --- a/gpsr/tests/test_beams.py +++ b/gpsr/tests/test_beams.py @@ -37,6 +37,39 @@ def test_nn_transform_forward(self, dim): assert output.shape == X.shape assert torch.is_tensor(output) + @pytest.mark.parametrize("dim", [2, 4, 6]) + def test_jacobian_sin(self, dim): + # Compute Jacobian of f(x) = sin(x). The Jacobian matrix + # is J = diag(cos(x1), ..., cos(xn)). + def transform(x: torch.Tensor) -> torch.Tensor: + return torch.sin(x) + + def transform_deriv(x: torch.Tensor) -> torch.Tensor: + return torch.cos(x) + + batch_size = 100 + x = torch.randn(batch_size, dim) + J = compute_batched_jacobian(x, transform) + + # Test correct shape of Jacobian matrix. + assert J.shape == (x.shape[0], x.shape[1], x.shape[1]) + + # Test correct values of Jacobian matrix. + xp = transform_deriv(x) + for i in range(x.shape[0]): + correct = torch.diag(torch.cos(x[i])) + assert torch.all(torch.isclose(J[i], correct)) + + @pytest.mark.parametrize("dim", [2, 4, 6]) + def test_nn_transform_jacobian(self, dim): + # Test batched Jacobian matrix calculation for NNTransform. + transformer = NNTransform(2, 10, phase_space_dim=dim) + x = torch.rand(5, dim) + jacobians = compute_batched_jacobian(x, transformer) + for i, jacobian in enumerate(jacobians): + jacobian_exp = torch.func.jacrev(transformer)(x[i, :]) + assert torch.all(torch.isclose(jacobian, jacobian_exp)) + @pytest.mark.parametrize("dim", [2, 4, 6]) def test_nn_particle_beam_generator_initialization(self, dim): # Test NNParticleBeamGenerator initialization @@ -81,29 +114,3 @@ def test_nn_particle_beam_generator_forward(self, dim): # check to make sure emittances are not nan assert not torch.isnan(beam.emittance_x) assert not torch.isnan(beam.emittance_y) - - @pytest.mark.parametrize("dim", [2, 4, 6]) - def test_jacobian_sin(self, dim): - # Compute Jacobian of f(x) = sin(x). The Jacobian matrix - # is J = diag(cos(x1), ..., cos(xn)). - def transform(x: torch.Tensor) -> torch.Tensor: - return torch.sin(x) - - def transform_deriv(x: torch.Tensor) -> torch.Tensor: - return torch.cos(x) - - batch_size = 100 - x = torch.randn(batch_size, dim) - J = compute_batched_jacobian(x, transform) - - # Test correct shape of Jacobian matrix. - assert J.shape == (x.shape[0], x.shape[1], x.shape[1]) - - # Test correct values of Jacobian matrix. - xp = transform_deriv(x) - for i in range(x.shape[0]): - for j in range(dim): - for k in range(dim): - if j != k: - assert torch.isclose(J[i, j, k], torch.tensor(0.0)) - assert torch.all(torch.isclose(torch.diag(J[i, :, :]), xp[i, :])) \ No newline at end of file From e50ef4535f6106eef0b6f53ea349506f3e378684 Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Wed, 1 Oct 2025 23:00:51 -0400 Subject: [PATCH 14/27] Format --- gpsr/tests/test_beams.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/gpsr/tests/test_beams.py b/gpsr/tests/test_beams.py index 3a7ca61..cb5a2f9 100644 --- a/gpsr/tests/test_beams.py +++ b/gpsr/tests/test_beams.py @@ -59,7 +59,7 @@ def transform_deriv(x: torch.Tensor) -> torch.Tensor: for i in range(x.shape[0]): correct = torch.diag(torch.cos(x[i])) assert torch.all(torch.isclose(J[i], correct)) - + @pytest.mark.parametrize("dim", [2, 4, 6]) def test_nn_transform_jacobian(self, dim): # Test batched Jacobian matrix calculation for NNTransform. From 05e74b3159925d667c9b4594d667df552c8cb1b5 Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Fri, 3 Oct 2025 16:13:35 -0400 Subject: [PATCH 15/27] pylint --- gpsr/tests/test_beams.py | 4 ---- 1 file changed, 4 deletions(-) diff --git a/gpsr/tests/test_beams.py b/gpsr/tests/test_beams.py index cb5a2f9..9e0af2d 100644 --- a/gpsr/tests/test_beams.py +++ b/gpsr/tests/test_beams.py @@ -44,9 +44,6 @@ def test_jacobian_sin(self, dim): def transform(x: torch.Tensor) -> torch.Tensor: return torch.sin(x) - def transform_deriv(x: torch.Tensor) -> torch.Tensor: - return torch.cos(x) - batch_size = 100 x = torch.randn(batch_size, dim) J = compute_batched_jacobian(x, transform) @@ -55,7 +52,6 @@ def transform_deriv(x: torch.Tensor) -> torch.Tensor: assert J.shape == (x.shape[0], x.shape[1], x.shape[1]) # Test correct values of Jacobian matrix. - xp = transform_deriv(x) for i in range(x.shape[0]): correct = torch.diag(torch.cos(x[i])) assert torch.all(torch.isclose(J[i], correct)) From 9d9c98838851bc23c0ec79a2c80a52893e539363 Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Thu, 9 Oct 2025 11:31:30 -0400 Subject: [PATCH 16/27] Rename arguments in NSFDist to match NNDist --- gpsr/beams.py | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/gpsr/beams.py b/gpsr/beams.py index 2bb722e..5edf9df 100644 --- a/gpsr/beams.py +++ b/gpsr/beams.py @@ -254,17 +254,17 @@ class NSFDist(GenModel): def __init__( self, - transforms: int = 3, - hidden_layers: int = 3, - hidden_units: int = 64, + width: int = 64, + depth: int = 3, + layers: int = 3, **kwargs, ) -> None: super().__init__(**kwargs) self._flow = zuko.flows.NSF( features=self.ndim, - transforms=transforms, - hidden_features=(hidden_layers * [hidden_units]), + transforms=layers, + hidden_features=(depth * [width]), ) # Reverse for faster sampling self._flow = zuko.flows.Flow(self._flow.transform.inv, self._flow.base) From d7c0ef06e721f4818b8d5980d7ab01f434357ea8 Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Thu, 9 Oct 2025 11:31:47 -0400 Subject: [PATCH 17/27] Update Jacobian examples --- docs/examples/jacobian/kl_nn.ipynb | 54 ++--- docs/examples/jacobian/kl_nsf.ipynb | 343 ++++++++++++++++++++++++++++ 2 files changed, 368 insertions(+), 29 deletions(-) create mode 100644 docs/examples/jacobian/kl_nsf.ipynb diff --git a/docs/examples/jacobian/kl_nn.ipynb b/docs/examples/jacobian/kl_nn.ipynb index 163c44f..bbe9ea4 100644 --- a/docs/examples/jacobian/kl_nn.ipynb +++ b/docs/examples/jacobian/kl_nn.ipynb @@ -10,7 +10,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "id": "8f899f1d", "metadata": {}, "outputs": [], @@ -32,11 +32,11 @@ "name": "stdout", "output_type": "stream", "text": [ - "0 tensor(5.9680, grad_fn=)\n", - "50 tensor(0.0208, grad_fn=)\n", - "100 tensor(0.0072, grad_fn=)\n", - "150 tensor(0.0032, grad_fn=)\n", - "200 tensor(0.0028, grad_fn=)\n" + "0 tensor(5.9328, grad_fn=)\n", + "50 tensor(0.1754, grad_fn=)\n", + "100 tensor(0.0531, grad_fn=)\n", + "150 tensor(0.0241, grad_fn=)\n", + "200 tensor(0.0126, grad_fn=)\n" ] } ], @@ -44,7 +44,7 @@ "ndim = 2\n", "nsamp = 10_000\n", "\n", - "dist = NNDist(width=32, depth=2, ndim=2)\n", + "dist = NNDist(width=32, depth=2, ndim=ndim)\n", "prior = torch.distributions.MultivariateNormal(\n", " torch.zeros(ndim),\n", " torch.eye(ndim),\n", @@ -73,7 +73,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
" ] @@ -87,7 +87,6 @@ "ax.plot(history[\"loss\"])\n", "ax.set_xlabel(\"Iteration\")\n", "ax.set_ylabel(\"Loss\")\n", - "ax.set_ylim(-0.2, ax.get_ylim()[1])\n", "plt.show()" ] }, @@ -99,7 +98,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -138,9 +137,9 @@ " axs[2].hist2d(\n", " x_prior[:, 0], x_prior[:, 1], bins=64, range=plot_limits, density=True\n", " )\n", - " axs[0].set_title(\"Histogram\", fontsize=\"medium\")\n", - " axs[1].set_title(\"Scatter + color density\", fontsize=\"medium\")\n", - " axs[2].set_title(\"Gaussian\", fontsize=\"medium\")\n", + " axs[0].set_title(\"Model samples\", fontsize=\"medium\")\n", + " axs[1].set_title(\"Model density\", fontsize=\"medium\")\n", + " axs[2].set_title(\"Prior samples\", fontsize=\"medium\")\n", " plt.show()" ] }, @@ -162,11 +161,11 @@ "name": "stdout", "output_type": "stream", "text": [ - "0 tensor(15.6921, grad_fn=)\n", - "50 tensor(0.5616, grad_fn=)\n", - "100 tensor(0.1513, grad_fn=)\n", - "150 tensor(0.0573, grad_fn=)\n", - "200 tensor(0.0320, grad_fn=)\n" + "0 tensor(17.6799, grad_fn=)\n", + "50 tensor(0.6014, grad_fn=)\n", + "100 tensor(0.2113, grad_fn=)\n", + "150 tensor(0.0793, grad_fn=)\n", + "200 tensor(0.0352, grad_fn=)\n" ] } ], @@ -203,7 +202,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
" ] @@ -217,7 +216,6 @@ "ax.plot(history[\"loss\"])\n", "ax.set_xlabel(\"Iteration\")\n", "ax.set_ylabel(\"Loss\")\n", - "ax.set_ylim(-0.2, ax.get_ylim()[1])\n", "plt.show()" ] }, @@ -237,7 +235,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -257,14 +255,12 @@ " plot_limits = 2 * [(-plot_xmax, plot_xmax)]\n", "\n", " fig, axs = plt.subplots(ncols=2, sharex=True, sharey=True, figsize=(5.5, 2.5))\n", - " axs[0].hist2d(\n", - " x_model[:, 0], x_model[:, 1], bins=64, range=plot_limits, density=True\n", - " )\n", - " axs[1].hist2d(\n", - " x_prior[:, 0], x_prior[:, 1], bins=64, range=plot_limits, density=True\n", - " )\n", - " axs[0].set_title(\"Histogram\", fontsize=\"medium\")\n", - " axs[1].set_title(\"Gaussian\", fontsize=\"medium\")\n", + " for ax, x in zip(axs, [x_model, x_prior]):\n", + " ax.hist2d(\n", + " x_model[:, 0], x_model[:, 1], bins=64, range=plot_limits, density=True\n", + " )\n", + " axs[0].set_title(\"Model\", fontsize=\"medium\")\n", + " axs[1].set_title(\"Prior\", fontsize=\"medium\")\n", " plt.show()" ] }, diff --git a/docs/examples/jacobian/kl_nsf.ipynb b/docs/examples/jacobian/kl_nsf.ipynb new file mode 100644 index 0000000..9143b04 --- /dev/null +++ b/docs/examples/jacobian/kl_nsf.ipynb @@ -0,0 +1,343 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "ecf3fd1a", + "metadata": {}, + "source": [ + "# Test KL minimization with invertible transformation" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "8f899f1d", + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import torch\n", + "\n", + "from gpsr.beams import NSFDist" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "ed6f9f69", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 tensor(0.0606, grad_fn=)\n", + "10 tensor(0.0262, grad_fn=)\n", + "20 tensor(0.0054, grad_fn=)\n", + "30 tensor(0.0021, grad_fn=)\n", + "40 tensor(0.0011, grad_fn=)\n" + ] + } + ], + "source": [ + "ndim = 2\n", + "nsamp = 10_000\n", + "\n", + "dist = NSFDist(width=64, depth=3, layers=3, ndim=ndim)\n", + "prior = torch.distributions.MultivariateNormal(\n", + " torch.zeros(ndim),\n", + " torch.eye(ndim),\n", + ")\n", + "optimizer = torch.optim.Adam(dist.parameters(), lr=0.01)\n", + "\n", + "history = {\"loss\": []}\n", + "\n", + "for iteration in range(50):\n", + " loss = -dist.entropy(nsamp, prior=prior)\n", + " loss.backward()\n", + " optimizer.step()\n", + " optimizer.zero_grad()\n", + "\n", + " history[\"loss\"].append(loss.item())\n", + "\n", + " if iteration % 10 == 0:\n", + " print(iteration, loss)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "664c404d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(3.0, 2.0))\n", + "ax.plot(history[\"loss\"])\n", + "ax.set_xlabel(\"Iteration\")\n", + "ax.set_ylabel(\"Loss\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "2203c1b5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "with torch.no_grad():\n", + " x_model = dist.sample(100_000)\n", + " x_prior = prior.rsample((x_model.shape[0],))\n", + "\n", + " plot_xmax = 4.0\n", + " plot_limits = 2 * [(-plot_xmax, plot_xmax)]\n", + "\n", + " fig, axs = plt.subplots(ncols=2, sharex=True, sharey=True, figsize=(5.5, 2.5))\n", + " for ax, x in zip(axs, [x_model, x_prior]):\n", + " ax.hist2d(x[:, 0], x[:, 1], bins=64, range=plot_limits, density=True)\n", + " axs[0].set_title(\"Model\", fontsize=\"medium\")\n", + " axs[1].set_title(\"Prior\", fontsize=\"medium\")\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "0a623862", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "with torch.no_grad():\n", + " grid_shape = (50, 50)\n", + " grid_coords = [torch.linspace(-4.0, 4.0, n) for n in grid_shape]\n", + " grid_points = torch.stack([c.ravel() for c in torch.meshgrid(*grid_coords, indexing=\"ij\")], axis=-1)\n", + " grid_values_model = torch.exp(dist.log_prob(grid_points)).reshape(grid_shape)\n", + " grid_values_prior = torch.exp(prior.log_prob(grid_points)).reshape(grid_shape)\n", + "\n", + " fig, axs = plt.subplots(ncols=2, sharex=True, sharey=True, figsize=(5.5, 2.5))\n", + " for ax, grid_values in zip(axs, [grid_values_model, grid_values_prior]):\n", + " ax.pcolormesh(grid_coords[0], grid_coords[1], grid_values.T)\n", + " axs[0].set_title(\"Model\", fontsize=\"medium\")\n", + " axs[1].set_title(\"Prior\", fontsize=\"medium\")\n", + " plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "bd48e24a", + "metadata": {}, + "source": [ + "### 6D" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "c7d87086", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 tensor(0.3738, grad_fn=)\n", + "10 tensor(0.0517, grad_fn=)\n", + "20 tensor(0.0099, grad_fn=)\n", + "30 tensor(0.0057, grad_fn=)\n", + "40 tensor(0.0023, grad_fn=)\n" + ] + } + ], + "source": [ + "ndim = 6\n", + "nsamp = 10_000\n", + "\n", + "dist = NSFDist(width=64, depth=3, layers=3, ndim=ndim)\n", + "prior = torch.distributions.MultivariateNormal(\n", + " torch.zeros(ndim),\n", + " torch.eye(ndim),\n", + ")\n", + "optimizer = torch.optim.Adam(dist.parameters(), lr=0.01)\n", + "\n", + "history = {\"loss\": []}\n", + "\n", + "for iteration in range(50):\n", + " loss = -dist.entropy(nsamp, prior=prior)\n", + " loss.backward()\n", + " optimizer.step()\n", + " optimizer.zero_grad()\n", + "\n", + " history[\"loss\"].append(loss.item())\n", + "\n", + " if iteration % 10 == 0:\n", + " print(iteration, loss)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "edd26498", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(3.0, 2.0))\n", + "ax.plot(history[\"loss\"])\n", + "ax.set_xlabel(\"Iteration\")\n", + "ax.set_ylabel(\"Loss\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "cf1efa6e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "with torch.no_grad():\n", + " x_model = dist.sample(100_000)\n", + " x_prior = prior.rsample((x_model.shape[0],))\n", + "\n", + " plot_xmax = 4.0\n", + " plot_limits = 2 * [(-plot_xmax, plot_xmax)]\n", + "\n", + " fig, axs = plt.subplots(ncols=2, sharex=True, sharey=True, figsize=(5.5, 2.5))\n", + " for ax, x in zip(axs, [x_model, x_prior]):\n", + " ax.hist2d(x[:, 0], x[:, 1], bins=64, range=plot_limits, density=True)\n", + " axs[0].set_title(\"Model\", fontsize=\"medium\")\n", + " axs[1].set_title(\"Prior\", fontsize=\"medium\")\n", + " plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "d0baaa7c", + "metadata": {}, + "source": [ + "Evaluate the density on the slice $\\rho(x_1, x_2, | x_3 = \\dots = x_n = 0)$." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "5bad2980", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "with torch.no_grad():\n", + " grid_shape = (50, 50)\n", + " grid_coords = [torch.linspace(-4.0, 4.0, n) for n in grid_shape]\n", + " grid_points = torch.stack([c.ravel() for c in torch.meshgrid(*grid_coords, indexing=\"ij\")], axis=-1)\n", + " \n", + " slice_points = torch.zeros((grid_points.shape[0], ndim - 2))\n", + " grid_points = torch.hstack([grid_points, slice_points])\n", + " \n", + " grid_values_model = torch.exp(dist.log_prob(grid_points)).reshape(grid_shape)\n", + " grid_values_prior = torch.exp(prior.log_prob(grid_points)).reshape(grid_shape)\n", + "\n", + " fig, axs = plt.subplots(ncols=2, sharex=True, sharey=True, figsize=(5.5, 2.5))\n", + " for ax, grid_values in zip(axs, [grid_values_model, grid_values_prior]):\n", + " ax.pcolormesh(grid_coords[0], grid_coords[1], grid_values.T)\n", + " axs[0].set_title(\"Model\", fontsize=\"medium\")\n", + " axs[1].set_title(\"Prior\", fontsize=\"medium\")\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "499f4096", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "gpsr", + "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": 5 +} From 7e379bd3896699c4035954bb7eae3d56993cff0a Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Thu, 9 Oct 2025 11:41:06 -0400 Subject: [PATCH 18/27] Format --- docs/examples/jacobian/kl_nsf.ipynb | 12 ++++++++---- 1 file changed, 8 insertions(+), 4 deletions(-) diff --git a/docs/examples/jacobian/kl_nsf.ipynb b/docs/examples/jacobian/kl_nsf.ipynb index 9143b04..74b8570 100644 --- a/docs/examples/jacobian/kl_nsf.ipynb +++ b/docs/examples/jacobian/kl_nsf.ipynb @@ -144,7 +144,9 @@ "with torch.no_grad():\n", " grid_shape = (50, 50)\n", " grid_coords = [torch.linspace(-4.0, 4.0, n) for n in grid_shape]\n", - " grid_points = torch.stack([c.ravel() for c in torch.meshgrid(*grid_coords, indexing=\"ij\")], axis=-1)\n", + " grid_points = torch.stack(\n", + " [c.ravel() for c in torch.meshgrid(*grid_coords, indexing=\"ij\")], axis=-1\n", + " )\n", " grid_values_model = torch.exp(dist.log_prob(grid_points)).reshape(grid_shape)\n", " grid_values_prior = torch.exp(prior.log_prob(grid_points)).reshape(grid_shape)\n", "\n", @@ -294,11 +296,13 @@ "with torch.no_grad():\n", " grid_shape = (50, 50)\n", " grid_coords = [torch.linspace(-4.0, 4.0, n) for n in grid_shape]\n", - " grid_points = torch.stack([c.ravel() for c in torch.meshgrid(*grid_coords, indexing=\"ij\")], axis=-1)\n", - " \n", + " grid_points = torch.stack(\n", + " [c.ravel() for c in torch.meshgrid(*grid_coords, indexing=\"ij\")], axis=-1\n", + " )\n", + "\n", " slice_points = torch.zeros((grid_points.shape[0], ndim - 2))\n", " grid_points = torch.hstack([grid_points, slice_points])\n", - " \n", + "\n", " grid_values_model = torch.exp(dist.log_prob(grid_points)).reshape(grid_shape)\n", " grid_values_prior = torch.exp(prior.log_prob(grid_points)).reshape(grid_shape)\n", "\n", From 47023ba93455839a06948d0eefe2fb1b32f9bc9a Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Thu, 9 Oct 2025 11:42:11 -0400 Subject: [PATCH 19/27] Rename examples/jacobian to examples/kl --- docs/examples/{jacobian => kl}/kl_nn.ipynb | 0 docs/examples/{jacobian => kl}/kl_nsf.ipynb | 0 2 files changed, 0 insertions(+), 0 deletions(-) rename docs/examples/{jacobian => kl}/kl_nn.ipynb (100%) rename docs/examples/{jacobian => kl}/kl_nsf.ipynb (100%) diff --git a/docs/examples/jacobian/kl_nn.ipynb b/docs/examples/kl/kl_nn.ipynb similarity index 100% rename from docs/examples/jacobian/kl_nn.ipynb rename to docs/examples/kl/kl_nn.ipynb diff --git a/docs/examples/jacobian/kl_nsf.ipynb b/docs/examples/kl/kl_nsf.ipynb similarity index 100% rename from docs/examples/jacobian/kl_nsf.ipynb rename to docs/examples/kl/kl_nsf.ipynb From c3872dc4fedd8e9c5b77128aa28e47c761cd4629 Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Thu, 9 Oct 2025 12:02:42 -0400 Subject: [PATCH 20/27] Format --- docs/examples/kl/kl_nsf.ipynb | 1 - 1 file changed, 1 deletion(-) diff --git a/docs/examples/kl/kl_nsf.ipynb b/docs/examples/kl/kl_nsf.ipynb index 74b8570..1e602e6 100644 --- a/docs/examples/kl/kl_nsf.ipynb +++ b/docs/examples/kl/kl_nsf.ipynb @@ -16,7 +16,6 @@ "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", - "import numpy as np\n", "import torch\n", "\n", "from gpsr.beams import NSFDist" From 8a3ea6aa0391ad761b40ebf01e38aba3727bb787 Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Mon, 13 Oct 2025 11:46:21 -0400 Subject: [PATCH 21/27] Fix log_prob x = Mz p(x) = p(z) / det(M) = p(z) * det(inv(M)) Only affects log_prob function; sample_and_log_prob was correct. --- gpsr/beams.py | 16 +++++++--------- 1 file changed, 7 insertions(+), 9 deletions(-) diff --git a/gpsr/beams.py b/gpsr/beams.py index 5edf9df..16aad3d 100644 --- a/gpsr/beams.py +++ b/gpsr/beams.py @@ -126,18 +126,16 @@ def __init__(self, ndim: int, cov_matrix: torch.Tensor = None) -> None: if cov_matrix is None: cov_matrix = torch.eye(self.ndim) - cov_matrix = torch.clone(cov_matrix) - if cov_matrix is None: - cov_matrix = torch.eye(self.ndim) - self.register_buffer("cov_matrix", cov_matrix) - unnorm_matrix = torch.linalg.cholesky(cov_matrix) unnorm_matrix_log_det = torch.log(torch.abs(torch.linalg.det(unnorm_matrix))) norm_matrix = torch.linalg.inv(unnorm_matrix) + norm_matrix_log_det = torch.log(torch.abs(torch.linalg.det(norm_matrix))) + self.register_buffer("cov_matrix", cov_matrix) + self.register_buffer("norm_matrix", norm_matrix) + self.register_buffer("norm_matrix_log_det", norm_matrix_log_det) self.register_buffer("unnorm_matrix", unnorm_matrix) self.register_buffer("unnorm_matrix_log_det", unnorm_matrix_log_det) - self.register_buffer("norm_matrix", norm_matrix) @abstractmethod def _sample(self, n: int) -> torch.Tensor: @@ -164,7 +162,7 @@ def log_prob(self, x: torch.Tensor) -> torch.Tensor: """Evaluate log probabilities {log(p(x_i))}.""" z = torch.matmul(x, self.norm_matrix.T) log_prob = self._log_prob(z) - log_prob = log_prob - self.unnorm_matrix_log_det + log_prob = log_prob - self.norm_matrix_log_det return log_prob def sample_and_log_prob(self, n: int) -> tuple[torch.Tensor, torch.Tensor]: @@ -305,8 +303,8 @@ def __init__( gen_model: Generative model prior: Prior distribution over the phase space coordiantes. Must implement - `prior.log_prob(x: torch.Tensor) -> torch.Tensor`, where `x` is - a batch of particle coordinates. + `prior.log_prob(x: torch.Tensor) -> torch.Tensor`, where `x` is a batch + of particle coordinates. n_particles: Number of macro-particles in the beam energy: Reference particle energy [eV]. mass: Reference particle mass [eV/c^2]. Defaults to electron mass. From 4a9c01532c7802bdc986f02d759430e420e9a386 Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Mon, 13 Oct 2025 12:09:35 -0400 Subject: [PATCH 22/27] Reverts 8a3ea6aa0391ad761b40ebf01e38aba3727bb787 Confused myself. --- docs/examples/kl/kl_nn.ipynb | 28 ++++++++++---------- docs/examples/kl/kl_nsf.ipynb | 50 +++++++++++++++++------------------ 2 files changed, 39 insertions(+), 39 deletions(-) diff --git a/docs/examples/kl/kl_nn.ipynb b/docs/examples/kl/kl_nn.ipynb index bbe9ea4..9a5102d 100644 --- a/docs/examples/kl/kl_nn.ipynb +++ b/docs/examples/kl/kl_nn.ipynb @@ -32,11 +32,11 @@ "name": "stdout", "output_type": "stream", "text": [ - "0 tensor(5.9328, grad_fn=)\n", - "50 tensor(0.1754, grad_fn=)\n", - "100 tensor(0.0531, grad_fn=)\n", - "150 tensor(0.0241, grad_fn=)\n", - "200 tensor(0.0126, grad_fn=)\n" + "0 tensor(6.1114, grad_fn=)\n", + "50 tensor(0.0451, grad_fn=)\n", + "100 tensor(0.0071, grad_fn=)\n", + "150 tensor(0.0052, grad_fn=)\n", + "200 tensor(0.0032, grad_fn=)\n" ] } ], @@ -73,7 +73,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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", 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" ] @@ -161,11 +161,11 @@ "name": "stdout", "output_type": "stream", "text": [ - "0 tensor(17.6799, grad_fn=)\n", - "50 tensor(0.6014, grad_fn=)\n", - "100 tensor(0.2113, grad_fn=)\n", - "150 tensor(0.0793, grad_fn=)\n", - "200 tensor(0.0352, grad_fn=)\n" + "0 tensor(16.4465, grad_fn=)\n", + "50 tensor(0.4091, grad_fn=)\n", + "100 tensor(0.0998, grad_fn=)\n", + "150 tensor(0.0343, grad_fn=)\n", + "200 tensor(0.0210, grad_fn=)\n" ] } ], @@ -202,7 +202,7 @@ "outputs": [ { "data": { - "image/png": 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", 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" ] @@ -235,7 +235,7 @@ "outputs": [ { "data": { - "image/png": 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+oxyjdkTikyNgQgghJADYARNCCCEBQAl6LIB0hZP5DZCHDpkwnhMHoYFuP1zWDLfnRQazphwj5aScpNgmbkcbTJmxokgwg9OTnjJVdhI4K0HuauqWfYcnyUFLGSknIMXtgVNg330gucVhQj7co+Ep0p5Ur9yjcgbckwhcV3Ga5L41syVPdybKZ4gNCwYoyJtrF4qeUqWZgmfhVLTGlOfbqz4JQYw2QHxGOkbtaMQnR8CEEEJIALADJoQQQgKAErQfVa5mL1wuSZgYXu2yRHlFYT5akMFsnKzuclOKBBPLyfkGjpPjJ4YxR6ycq9gi5QKYD+MyF171niDnKosSpWz4ZOQ6pZyUFK+q0AqSFqh73R+TnZt3y3YrIfXjWXCAwq1OHxT5KQFLqblyzqKkhTl6UVaEBQNwmTTXEnOQRABlL6etsA9KX1Zelocj4Y3RRojPKMeoFZH45AiYEEIICQB2wIQQQkgAUIJG/PKO4sR+rA4SSnUdA2WXZpisb0K9NGhKsExZOSP7lkHiKqdQHhKJZ2gq5oWVQ1r4dEER6v1o0fOSzV7YASWnbnBfwmplCtyXFih6xRaY2D9B9s2DNTRzQOrHIAeGUQJn6LGSozazR05mNcl9M22Y8A/gBH4jEfeUJG2Qw1wyZHXSBthfwS6+jJJjmtRHjDZEfEY5Ro1oxCdHwIQQQkgAsAMmhBBCAoASNOIjR+DEfhNzyOKE8YxbArNRHsPtGdm/PEGkLzMvckwJjlVqknK2A6QseHIoa+Umem8vp2EpsiHMTiCtM48VR2NxQCSkIVGZlAn7FttkX6tDNKrkLrlGC1Q8E2SschLOi/lqp3knKrATeF45fhwcqTGUqwA7J85Iw6Xpwf2sygWNz7kMOWsR15JoJXBRU3au+xhthPiMcoyaEYlPjoAJIYSQAGAHTAghhAQAJWg/0GWH7juc2I/uu6p8p0Zbm6es5aoDOWLzk5qkPjou0YgJMlAOliArSGpa14T5UgssawbyU0ubyD3Dw9K2thbZfnBITpxoAelqokhxWayTgGuZIo0oWNLO9B5cZsw7WUC6R3nWyU+EZeLgeSQwd+2kCZVyrKvHO7kCuFZVGdojW/97DsvylLsQKwsZE0ioYrQR4jPKMWpHJD45AiaEEEICgB0wIYQQEgCUoAGcqO/KIRsDnSnuI2nh0mUakL4wL6qd9L7lmIO1lJbvRaW0bE8OynEGZ0BO2XaRYxJ9sm/6uIFKOZ8XR2BLWpyIxZJcc0tKtsenSVLZ9rRIOYMFkXuOaRb34a53JSFtsk0kseKQnLcE+Q5SoD4pyFGLyQzKcEuTO3BCvhRL7VIp3p/3zkvbAokAsj65YvG5VtfzkTdJiGO0AeIz0jGajUZ8cgRMCCGEBAA7YEIIISQAKEGDkxIn8/ttdznuiiVPOczZHf8GiQQnqxc6Ut75VTvhexGoK0PgRESpCCfr548TaanVlGMe2ymSVX9OJKGTp+yrlHPgOLx65ouV8m/3frxSPn2irF32Ru/USjk1QaSlmCmSWyku12ulwYU5ASbng1kx7qM+ZY8VF6pRlutq2ikyXrkZZMgOyU5gDkN2AXBPqmE5se0nezkHhty0IZO4IkENYrQR4rNhYrQc3vjkCJgQQggJAHbAhBBCSAA0pgTtM4HfJW/5OS8hl6kBeUqNtNsFbbWKHGPmRF6xUuC+BKWl2AJyT0HaUYQJ/bkOqW/HpY7VLnlO58zsqpSb4rJ9R4/sfGJnd6U8Jd1fKZ/aLPJVERLVXjLlX5XylqFjK+WZLSKbTWsSmSkdk/NuPTilUh5sEfkpa4r8lO4CV6lcoorlILHBMeAe7ZEbV5go9zmWF/nJHAC5CnPFNmU8l0OrTqRiDQ565pQ1IK+t3+elnnLNhpYax2gjxGeUY9SKSHxyBEwIIYQEADtgQgghJAAaU4IGCcIu+yxfhW46XLosDfZGlDgw56wjr4Ck4pePFpyCZZjcHwNDYO+J2G4pJvtgmbFjpa1dAyIbpRIi30xoEjfhJZP+KccvizzUER/y3I5c0bGpUt5dkiS3/xyeWSn/q3d6pdycFDmwdzDjKdGV0bTaIuXCfu8kB2Yengfcz1g/OCbTIEsNeLsqfSf263O0Q65gXEINJDGX7InLnZG6j9FGiM8ox6gZkfjkCJgQQggJAHbAhBBCSADEG9FV6XLB4WR+kClQ6nLJIDCxX4HDUlUviTUgcpECKaTQLi5DAyQrE5yVffPkuM3vSZ2CrOSlhkHWwm9RhYK0dcYEcUDObJZywZY6k+LijPxEemel3GnK9f8v2Dunx8V9+FSvJAAYKsn1p+Nyj45t6quU3+9tr5SNVrnXhbLIWLEc5pkF9+swOE9b5X7GQOoqTpR8srGctCE23OQtSQ4NeT/L6udc9v68KLs+Za3QMp4x2gDxGekYLUYjPjkCJoQQQgKAHTAhhBASAI0jQY9h8jW65gx0RqLE4ZrYD5IWOvE0SZGyrCapl9ovTr4SyF2pPpFd4lnZPjxNDtkCcld2BjgUh0WOmjV3b6U8v+PdSrm/JEkI3s5NlnMZIpV9uXV/pfx6UVyiJyQkMcBreWnQvLQkFTin6e1K+X8HT5ZzZWEJNHB95vZBIoSSyFjxYSkXxOjokr3QbVlqlmdmFuQ5xbK2t6Q1ABId5MBVsarvopCP1uwQbbHcfUB9YCmV1E+MNkB8RjpGrWjEJ0fAhBBCSBQ74Pvvv1/Nnj1bpdNpdc4556hNm9zz1AghhJBGpKYS9Nq1a9WNN96oHnjgAafzvffee9XFF1+stm3bpiZPFpmlXnBN3C7IbHuzqclT0rKL4Mhsdk+Mx1yzBsglhQmyPTtZpCkwKCoLVJcEqDFZvGUJkWzmzpIly/YPyiz51xIzKuWvHfuXSnlvUZyOn2raXilvL0k7m8EC2mtJO9tMmSSfi8n2XUWZ8J8y5b68MzixUh4cFJnt/DO3Vsp/23BqpVxsxUQIImkNzpTyxC3SznJStptFwzOJgkvGSoJzFp6LazJ/1WfB6uv3zEtsFXyWPvNx8AYtd0WBoxWjjRCfUY5RIyLxWdMR8I9//GO1dOlStXjxYnXKKac4HXFTU5N66KGHanlaQgghpHFHwIVCQW3evFmtWLGiss00TXXhhReqF1+UxaSRfD7vvEbo75dvNoSQ4GGMEhKCDnj//v2qXC6rKVNkqSuN/vvNN9/03Gf16tVq1apVKrics5h01kccgAn/hmH454IeFCmofIzITole+cfLioM00wLJANpQspFjllDlBldifz7t6WLcOyh5Z9/ISe7XA0XZvqRdljh7HtydC9LiBk0bUj4eJvr/38KkSvn/pPZUypuG5lXKnWmZSB8/VhygG9+QJLrmDLlXqa2Si9aEufZJyRWgLJC0mt4XGTLeD7lis3LjbHg2Bix1hm5ZExM56HN07/dc1gwlLjMFy9vlc94yKX6mIkBUYrQR4jPKMWpFJD7rygWtR8t9fX2V165du4JuEiEEYIwSEoIRcGdnp4rFYmrfPjEgaPTfU6dO9dwnlUo5L0JIfcIYJSQEHXAymVRnnnmmev7559WiRYucbZZlOX8vX75c1WWeWZAjzIzIPYiNS2WBQ8814V+/1SlORjsJkkcMJDEomuAIjMPKeEVoNszJV0ZO3hgYFqnl5CnyhWdaRjSh3793WqV87ZwXKuUeS67nrJSc+JcDcyrlS1tkAv/WolzL/pJIZd1lkfGmJOR3wWxZHI3vDoALs02kPtsG5yLcdkiJq4pw7RlRn5SVkPuQPVbakNklUpyZB53Q5/m5nqsjgzV5uixdS+OB3IUELWuFlnGM0UaIzyjHqBGR+KzpNCQ9Bemqq65SZ511lpo/f74zDWloaMhxRRNCCCGNTE074CuuuEJ1d3er22+/Xe3du1edccYZat26dYcYswghhJBGo+a5oLXcHIjkXA1IWn4uOBPywyqUKTJpz5yzuK9huqUfcwgmjRfEKliYIhJMLCfHyk+Q/cso8cS8y8ZEcGvCZPh3emRpslxZHu/5U9+qlJ/q+lilPHW6LIM2KSaSUAL0tHVDMyvl/SVJ/vrp5n9Xyq/nj62UX+qdWyn3FuTeDeREAswfyHg6RmPNIvUl+mR7yx7b8z5YKZG3MnvEzWnYUt9KicRmols9C85IfPZORXBTVi81OXLcbLYunZWhZRxjtBHiM9IxakYjPuvKBU0IIYQ0CuyACSGEkABomOUIXRIETtyOQ95RwCqKLBXDpbIQkFAUZAdySINcAskALHBZ5ibL7Y/lfeQbaF5c1BtVPCCySyklUll/To555lSZo7lx7/GVcktS2rq9IL/Hb1dStsD1mIZsA3NTsrzZxsGTKuWtgzK1bHpGZLOCJXlm+3shU0FBvvvFsnKuxCCc96BUNwsgew2VPV2rpRa55/G+qucxAjxX1xJomItWv9XrneHJLhUP685F6lX6Uo0eow0Qn1GOUSsi8ckRMCGEEBIA7IAJIYSQAGgYCdpfXgBZw2d5M1UCSQQwO2TSug2OO41ht3hKXKnuYagl58gfI4+i+X2RrIYny3ek/AS4nrTUmXqc6EB790mlDdskl+ukzoFKOWnKvVi//5RK+YQWt3w1QhZsn5kY3CNYEm3vsEz4359r9jyXXYbve03wPLKQoxfVJ/h05ifIvgbIUpluaE+25OlsNQpFz6XObHBYVv+E4CtZoRwKchcmAHAdx08aJYHGaCPEZ5Rj1I5IfHIETAghhAQAO2BCCCEkABpGgnaB7jiQKVzyBU7mB3kLc5CqHEzmB6mrmlKbOCLNgmghyYOyf6FdHsXgdHAfgqKUPoDXIPV7d0+WY+Jc9ZNE1uodynjKUkh3VmSpaU2y78G87Pupzncq5WffE3msFZyb2ZLcx/cGRHIz+mHJMcvbVQkpalUMTasHy56SVrFZjplCeQvzycLztt6XXLxGBhINVDGWyf1jck1iTmNSlzEa1fiMcoyaEYlPjoAJIYSQAGAHTAghhARAvBGXN8NlqmzLR+rCpazice+J/VgHlsSq1poS4LLESeb52ZIXNtUj201YUmxwupRT/XLuYqvhuQyaDZLQ0JC0wYZJ9e/3iXzTOU2WRDtt4p5KefuATM7fuV/aORWkr+akyEy7D4qMlUjANe5q8c6VC8pPfqL8kd4v7SyD+lROw3OC+45qXWzA7USv1O/t85S0jCYp24OQRcHZAIkXwHkbtGsycgQVow0Qn5GOUTsa8ckRMCGEEBIA7IAJIYSQAIi2BO3jcHO540ACw6XOXLlowWGJAoeBsle1K8+yPHOh2uDQTO4VuajcKlJLrlOOW4ZV1mJdcvb4kBxzYI5sb9oDclq/OB1jRch32yzXf/CgyE/rD0re2CmdItcVh+Q4veC43Lmrs1I24iAfguYEKWtVfFDudetO2Z7thKXOQKJr2i3tjGVhSbqinCtxUBInWE3y/Ex0v7aIexSxBwY9XbTOsWB/l+MS89SS8MZoA8RnlGPUikh8cgRMCCGEBAA7YEIIISQAoi1BH6EEhnlmYy3gDARZwzDB6YeuTXRSalIiixg5cG7CRH87I3JMYaLUT/VInXJCjmuWRTaC9K2q7W1Y7gsUqNRByFM7GeShQViCKwf5W0G76947Sf6YLPdl62uzKuXEEOx7gkhF1jsiJ5ngqkyK0VFlRRlTrTtBSgRFspSR64pjil50uQJmtuidpKHa4TyyvYhLl7mfH0qdCuRQ3G7lc4d185I6jdEGiM8ox6gZkfjkCJgQQggJAHbAhBBCSABEW4L+ELJDeQj1FMGMgaQDEkr1cnYKJ4fDUltGm8hmBhyr6c3uSrk4rb1SzhwE2Qxcn8l+01P6yreannJXei/IWnhbYMJ8DBSbEpgS7R7Iv+vHm3JdKW81yZUrN9Ur9y53jDQoc0DkpMQQyIcluUYrKdcSAzer1Qw5fXPuZdm8pDEjBvdklOUIXW5bTOzg2qF+ZK1QEVSMNlp8RixG7YjEJ0fAhBBCSACwAyaEEEICINoS9FhkB5TA/PbFOujcswveE/41qYT3e0M+uVDbWzzdfskeOUc5I3KMWfJ2JeL2lveg2Sk5ZqENzosOyKp01iNkuuT6B2fLyTKiyrmyH+DxUTbDc6F7Mt0jx0z1iZs1NgzOVpjYbxRFfjLyUGd/r5wgBS5JTNKAE/VRqgRXrFNv2Fve9F3irE5dlnVPUDHaAPEZ5Ri1IxKfHAETQgghAcAOmBBCCAmAaEvQY2EscgTUweXQEKs6EQdMLDc7ZBkwlQTHIrj37KQ8inivyGAWSGUxcAemeryX+yq0SP3mvSLlFFti3t+7oNmYEzYFSpEFTc7sAUkIlKIiKHQt70mDYnC7zCLkys2BY7RXKsVysOzbMMh7rZJ018zmvSf8o2Oyf9BTMjTw/sO+VrWk5ZKsvJ+5izqStSJHLWK0AeIz0jFqRCM+OQImhBBCAoAdMCGEEBIAlKDHgBE//ER3nDDugPlosznvieU2LKnVBw6/hDyWWE5kl1KnaEjJXtm33CTta98u58p1Jj3dl7ECLI/WJa7BUhraDJ+M4U7ZnnLle5Viqh+OuU8kqlLGOyFBfLjsLWkNwr0qiWwU65MTG0Mgb8Vj3jIW3mdcahDq4JJm1c/PQidmnTooyYeI0UaIT6diNGPUikh8cgRMCCGEBAA7YEIIISQAKEGPAT9XpUtCgXyyh0wgx2NBPlOjCZLBDme9twPxLpmJb7VJHaMk7Sin5ZEmByBfKuRIbcKcrXHDc4J9sVmO2blFJKf8hISnXJXeJ+3PTZG2xfIwOR/qK1CKbHSnQrncCsfp6vFOlgCT+W24h4gNuWj98smq0SRMP1krxNKXavQYbYD4bJgYtcMbnxwBE0IIIQHADpgQQggJAErQY8EvF+0oOUhdy2JhnlOsh8ug4c5FkMqSSU83oVGQY8bBoRgDiavYIfJQok9knVKzHDOWl/bkJonTM71f6hcmSP1Ml2zPTgZnKEh66S5MLmt7T9pvkUn78QMwIR+XX+uRtdFsSJxgtDR73lsD3KkWLlWHddAJC8/VT8IclTqVtRqSI4zRRohP1egxatd/fHIETAghhESlA96xY4dasmSJmjNnjspkMmrevHlq5cqVqgCLYBNCCCGNTE0k6DfffFNZlqUefPBBdfzxx6stW7aopUuXqqGhIXX33XerMOOePA4SVcy/XhmkFjPts6SWDa5JPBAkCVCwr5EveG5XCUkGkNotrkw7bno+dJxI3/yWtMdqlmMme+VcZlbKze9I2U7BUmxZkIrg+AZIXfGuPuWJDd8JW0HGykL+3YM93kvJoXSF+Wfx8Jjf94PIziQSMdoI8enswxhtvA544cKFzmuEuXPnqm3btqk1a9aEvgMmhBBCQmXC6uvrUx0dHaPWyefzzmuE/n6fFagJIYHAGCUkZB3wW2+9pe67777Djn5Xr16tVq1apcIIyibVspbL1YfyCjouwVnpkmwQyIuq/FyG+8SVqOA4Bkyej2VhYjws/WVAflUTDIQGODfNfpGZyp2tsB3yw+JSZAg4INUAuCrxeqE99v6Dns5LI5XydrCCx8DGXLG4VF3VcxoTIZjQP15EJUYbIT4bJkaN8MbnEZmwbr31VueDMtpL//6L7N6925GjL7vsMud34NFYsWKFM1Ieee3ateuDXRUhpCYwRgkJaAR80003qauvvnrUOvr33hH27NmjLrjgAvWpT31K/exnPzvs8VOplPMihNQnjFFCAuqAJ02a5LzGgh756s73zDPPVA8//LAyYfmv0IHyCDgG/epUY5jetxmlFhOX2hoYkEqw3SXrdB/wnvTu5zLEMi7xVcaEr+CGxIbiowN3Z2w3yGmY2ADzwLY0ebfBZzk4Bb8vKpAA7ULZ28E6KDKZ2dTkLR9+WFkqZLJWQ/IhYjSq8dkwMWqHNz5r8huw7nwXLFigZs2a5fzu293dXXlv6tSptTglIYQQEipq0gGvX7/eMV7p14wZM1zv2T5zvwghhJBGoiYdsP6d+HC/FUeC0dx38J6FGcBgO076L4OshfKNYXjLQJhT1Qa3Ii6VZoP70JXXNpP2dHfaIF/hcYwiLAOGX6AwJ66fM3Rw2DsXL0pxCEhuruXj4P6W8T6gNIjbQW6z3Wm6PfetzuVNIh6jjRCfVfszRuuPEP8wSwghhIQXdsCEEEJIAHA5wg/DaO47v/dwO8o98YS3NIO5bMFlaUHeVZckBvKVDW5KM5PxXAbMgOXUMMGADU5HdFzikmMuRyfIYzbKXiCJ4bnw+BYmMECnp5/85Jq07/0d0k9Kw+1RlLTIB4jDqManhjFa13AETAghhAQAO2BCCCEkAChBB4iFuVABdASaIAm5cqq68qWWPeUr17lgaTV3DlbIfQv5aF0UfJyUrkn4UAclOjgXSnSYE9YtP8F5UXLD+igHosMyD8kCgKjLWKQ2hD4+nVMzRusZjoAJIYSQAGAHTAghhAQAJegg8ctNC/KNK0mAT32UhAyc3I9JCPD4mBMWpR+f5ASYkEChPBbzS0QS83SJWuDQxDagLOW6dsw/C4wlhyweB9tASMPEp4YxWtdwBEwIIYQEADtgQgghJAAoQdchRyzHjCWvLeam9XEcGjBn35VswM8NiucCzLFIaz51XNfuU8c1yR8vBfPyNqikRWpPWOLTeY8xWtdwBEwIIYQEADtgQgghJAAoQUc9J7VHUgH3MmDeeVddE+99pCJMQoDH95PZXIkN/No82hKPh+NI6xMS4fjUMEbrG46ACSGEkABgB0wIIYQEACXoKDOGxAC+u44hN+uY5Co//GQsSlSkUahxfGoYo/UNR8CEEEJIALADJoQQQgKAEjT54HwYKYoyFiG1hzFa13AETAghhAQAO2BCCCEkAChBk6PDh5mcTwipPYzRuoMjYEIIISQA2AETQgghAUAJmhwdUNKi1EVI/cEYrTs4AiaEEEICgB0wIYQQEgCUoMnRh5IWIfUNY7Qu4AiYEEIICQB2wIQQQkgAsAMmhBBCAoAdMCGEEBIA7IAJIYSQAGAHTAghhAQAO2BCCCEkih1wPp9XZ5xxhjIMQ7322mu1Ph0hhBASCmreAd98881q+vTptT4NIYQQEipq2gH/8Y9/VM8995y6++67a3kaQgghJHTULBXlvn371NKlS9VTTz2lmpqaxixX69cIfX19zv9LqqiUXauWElLfOJ9/nT3QDj4IGKOEHMX4tGuAZVn2woUL7e9973vO3++8845umf3qq6+Out/KlSudenzxxdehr+3bt9tBwxjliy911OLT0P8Za2d96623qh/+8Iej1tm6dasjO//6179WGzduVLFYTO3YsUPNmTNHvfrqq44ha6zfrnt7e9WsWbPUzp07VXt7uwoj/f39aubMmWrXrl2qra1NhQ22P3j0KPO4445TPT09asKECYG2JWoxGvbPR9jbH4Vr+DDxeUQS9E033aSuvvrqUevMnTtX/fnPf1YvvviiSqVSrvfOOussdeWVV6pHH33Uc19dv3ofjQ7sMD4YRLc/zNfA9gePaQY/azCqMRr2z0fY2x+Fa/gg8XlEHfCkSZOc1+H4yU9+ou64447K33v27FEXX3yxWrt2rTrnnHOOuJGEEEJI1KiJCUsPx5GWlhbn//PmzVMzZsyoxSkJIYSQUBG8pjUKWupauXKlp+QVFsJ+DWx/8NTzNdRz28YC2x88qZBfw4dp/xGZsAghhBDSACNgQgghJKqwAyaEEEICgB0wIYQQEgDsgAkhhJAAYAdMCCGEBEDoOuCwri+s03EuWbLEScmZyWScOdHaul4oFFS9cv/996vZs2erdDrtJFDZtGmTCgurV69WZ599tmptbVWTJ09WixYtUtu2bVNh5c4773Q+8zfccIOqd8IYo2GMTw1jNNwxGroOOKzrC7/55pvKsiz14IMPqtdff13dc8896oEHHlC33Xabqkd01rIbb7zR+UfolVdeUaeffrqTzayrq0uFAZ2HfNmyZeqll15S69evV8ViUV100UVqaGhIhY2XX37Z+dycdtppKgyEMUbDFp8axmgEYtQOEc8++6x90kkn2a+//vqYVleqd+666y57zpw5dj0yf/58e9myZZW/y+WyPX36dHv16tV2GOnq6nI+Mxs3brTDxMDAgH3CCSfY69evt88//3z7+uuvt+uZKMVoPcenhjEa/hgNzQh4ZH3hX/7yl2NeXzgMq2h0dHSoekPLbps3b1YXXnihK9G4/lsvshFGRtatrcf7PRp6hHDJJZe4nkW9ErUYrdf41DBGoxGjNckFfbTRybr0KkzXXnuts6KS/r0m7Lz11lvqvvvuU3fffbeqN/bv36/K5bKaMmWKa7v+W0t1YUNLi/p3mXPPPVedeuqpKiw88cQTjrSo5a16J2oxWs/xqWGMRiNGAx0B6/WF9Y/Wo730h0kHwsDAgFqxYoWqN8Z6Dcju3bvVwoUL1WWXXeaMGEjtv6Fu2bLFCZawoNdGvf7669Vjjz3mGGyCIuwxyvgMB8saNEYDzQXd3d2tDhw4cNj1hS+//HL1hz/8wQmWEfS3v1gsNur6wvV0DclksrI044IFC9QnPvEJ9cgjj9TFGq9e8paWEH/zm984zsQRrrrqKmcB9qefflqFheXLlzvtfeGFFxyHa1h46qmn1Oc//3nnM46feR0D+jOjncb4Xq0Ie4xGMT41jNFoxGgoFmPYuXOn6u/vP2R9Yf3h09b7sCxxqL9ZX3DBBerMM89Uv/rVr8blH9APir6v8+fPd0Y2IxKRXmZSB4seVdQ7+mN93XXXqSeffFJt2LBBnXDCCSpM6NHku+++69q2ePFiddJJJ6lbbrml7mS6KMRomOJTwxgNf4yG4jfgKKwvrINbf7OeNWuW87uS/mY+wtSpU1W9oac36G/T+vc8HeT33nuvMz1Af8DCImk9/vjjzjdrPc9w7969zvb29nZnnme9o9tcHcDNzc1q4sSJddf5RiFGwxafGsZo+GM0FB1wFNDz3LSxQ7+q/0GqRxHiiiuucP4Ruv32253A0IkV1q1bd4jpo15Zs2aN83/9jyry8MMPO2YhQsIcnxrGaPgJhQRNCCGERI36dBgQQgghEYcdMCGEEBIA7IAJIYSQAGAHTAghhAQAO2BCCCEkANgBE0IIIQHADpgQQggJAHbAhBBCSACwAyaEEEICgB0wIYQQEgDsgAkhhBA1/vw/uxFuCmsxO0kAAAAASUVORK5CYII=", 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", 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" ] diff --git a/docs/examples/kl/kl_nsf.ipynb b/docs/examples/kl/kl_nsf.ipynb index 1e602e6..926987b 100644 --- a/docs/examples/kl/kl_nsf.ipynb +++ b/docs/examples/kl/kl_nsf.ipynb @@ -10,7 +10,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 1, "id": "8f899f1d", "metadata": {}, "outputs": [], @@ -23,7 +23,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 2, "id": "ed6f9f69", "metadata": {}, "outputs": [ @@ -31,11 +31,11 @@ "name": "stdout", "output_type": "stream", "text": [ - "0 tensor(0.0606, grad_fn=)\n", - "10 tensor(0.0262, grad_fn=)\n", - "20 tensor(0.0054, grad_fn=)\n", - "30 tensor(0.0021, grad_fn=)\n", - "40 tensor(0.0011, grad_fn=)\n" + "0 tensor(0.1312, grad_fn=)\n", + "10 tensor(0.0286, grad_fn=)\n", + "20 tensor(0.0071, grad_fn=)\n", + "30 tensor(0.0015, grad_fn=)\n", + "40 tensor(0.0019, grad_fn=)\n" ] } ], @@ -66,13 +66,13 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 3, "id": "664c404d", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -91,13 +91,13 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 4, "id": "2203c1b5", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -124,13 +124,13 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 5, "id": "0a623862", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -167,7 +167,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 6, "id": "c7d87086", "metadata": {}, "outputs": [ @@ -175,11 +175,11 @@ "name": "stdout", "output_type": "stream", "text": [ - "0 tensor(0.3738, grad_fn=)\n", - "10 tensor(0.0517, grad_fn=)\n", - "20 tensor(0.0099, grad_fn=)\n", - "30 tensor(0.0057, grad_fn=)\n", - "40 tensor(0.0023, grad_fn=)\n" + "0 tensor(0.5447, grad_fn=)\n", + "10 tensor(0.0376, grad_fn=)\n", + "20 tensor(0.0146, grad_fn=)\n", + "30 tensor(0.0063, grad_fn=)\n", + "40 tensor(0.0036, grad_fn=)\n" ] } ], @@ -210,13 +210,13 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 7, "id": "edd26498", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -235,13 +235,13 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 8, "id": "cf1efa6e", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -276,13 +276,13 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 9, "id": "5bad2980", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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p6T9knej+4CEynoSY3ss93ZcnDyoF5EmejL7//KhRuiHE7roKn6EbfbvtVatReV2F6PrjrtGw9VlsM5+qMMJcLrUG1Wj/3z2rZPnXZ7e5nA6o0YwYZtJ3vEZZn3K0wZKYGjBsjbqnFvT8fq7/+uQIFwCACNDgAgAQARpcAAAiEO8MNygf8m7g369PDnPmzohEXmRnU775UFEM1VgYKTKhUea+5EeZT10Y7fp/m5lllFpFbpIVuUpK9pUTOavIiKy86OfnGo6xLPr0efv4BgwFVxC5W0FMoSamFrNKrvWlkv90bCUxTaEnb/LdNdQbT6YnM1yxLDNc0TfeM8Vea/99bWVmmxst6tNVj859xXJR1ugIUYOiRlXSp0+p+F6rnLmc7DKXS52ib7ynX75PjdoBUwO6M1ellzMBGW3Rv0aNz7jxCpQjXAAAIkCDCwBABGhwAQCIQLwy3KFOv+fpA+g/3ZdyZx9i3FY7bW5bzorpusT0XYU287nyrn62znK7uVxor2QppVFmLpIaYS5nsmZHvUzaXG+LDLcocpVcTuTPnZVlW+ZkohOf7NNrlWUfQjGdX968QyKf6j/TFdOOyc/HljmYyHzl5x9q7NY6GLc1djUatt+tHDtZ1Gg5m/afYs81PrLsZysz2/x+5nKhXfQZHW3WYHZkZQo8ra3FXM4k+/8y5kvmfnb2mLlpbq8YE1qMGe2b2To1WlmfKIip/uQ1F3nzsZPimgslt5fXuvj0y7VEjTXC2Moc4QIAEAEaXAAAIkCDCwBABOKV4Q6V7Gcb2M+vkk/YIi+SffxKWTHWaqvV7/y2znqR4RZGmVlKub2SCbWONifA3K/NHEx1/9YuY3lEysyTyiLDlRnRrpw58Oun6cpAsT0JczzavBgUNlGwfOfuLPaIuTm7zedOiPfRyhX6z+wKBf/PUy4H5ouN1w+wmeek9vS7lZ+nvMYiFXBdRYvIbD3XVST6Hxt5tH9ma40xa3L//cwaHD9yj7E8JmuuH5VyDVgu7Cmag6V/ljMHat7eYnba35Uy1xdUtt/MVku6yqiQF+vEdROJnP+yJWs0WfS/Tsb1GdsNOPY5R7gAAESABhcAgAjQ4AIAEIFYZ7hh8qFBZUTuZZkPiTknyzLDzVq+c9gW5fyZo8w8scWV205o322s+9LIDmN5XNbMi9pTZsZbEgMgd5fNfnzbe8xMKJ2o7MtWZYZZuYKYt7fH/AomzGhLleT7IJaTGfPxEq5MyHKHTc7Gsp90//lQ1YxIBfTTrYOMCAPsF6/JftmyRsVySYwLXmyx+p3PVo6NLPvZysx2SvvnxvL0kZ8Yy1/KmOvbk+b93TpK5s5szu9vLLfInFT4rCh+F+XFGNLdldeddP2/2nsk30NbLAd9Rp6+82Ks5UbDES4AABGgwQUAIAKxPqU8ZAFDPbpPj9hJcaolJabISvufOi2aPW9Usc285D3ZZp6yGjOycspp8shdxrrpbTuN5UmZz8z7Jvea+yL+Lusqm90G9k+NMZYTrsvzcyXzK7ZdnEIudYnTdt3+70M5LU77imXlfl8DIgBLnDK2g7oFYZ/zHW7VU38B9Sm68dmiJssBNVlylUFJ1KecXk8O1Si7/chTyIe3bjaWD8qYNbtfwox93HaVWwd8+lnrETXqGQqyS9Ssq3uU+z2oXq+W73usZFfKMJ+hjIQ804iqusMRLgAAEaDBBQAgAjS4AABEgAw3jIAM0C8jsuXl7SmRdYjL6UtmjKJETxxlZ82MqLXVzIjGjajksAe2mhntIS3bjOXJqU+N5S8kRbcgMaVelxiescUy8+Me1/pdeTNP2tVqLndnzRdWEt2l5PvgeV9ENm5k5Z7p2sSyJw8MWF+HmRBcArvticxWfndktzDPdRdy2fV/sySUEvUpp9eTQzXKbj8ysz0oZXbtG5Po/1f3Z2Vz26BuQ1uzo32HfsxlW/rt6uN+D/63bA3pPbYCM93GPkZs7L0HAKBB0OACABABGlwAAJohw126dKm666671LZt29TRRx+tlixZok488UTVcH38qgnq5+delnlQwLKd8s8uVYuZEY0UGdHYlkqG+6Xs576Z7UHpTmN5TEI+mWlP2Rx/saTMx9vlyoi2trQb6z4Wy90tLf5DXg4hI/LkQ2Gn4xM8QzmS6Ta2gD6f3u+Wubnt+qraSTGsZ9Ksz0yy5Du9nuwrK/vZysx2dEJ0/DWY990lHks+l9wXua/ytbhfa/B7FLJvdJOr6RHuY489pm688Ua1cOFCtXbtWqfBPe+889SOHTtq+bQAAMSrwf3lL3+pZs2apa666ip1+OGHq/vuu0+NGDFCPfjgg7V8WgAA4nNKOZ/PqzVr1qgFCxb0/SyRSKhzzjlHvfbaa1Xvk8vlnFuv3bv9L28HEC1qFKjDBveTTz5RpVJJjR8/3vi5Xv7ggw+q3mfRokXq9ttvH94d8UyxVkMyA3LlE55xesWiJ/uQ0UZCZESu8Yq1tMhdMoliv/1k2xJm3jvCMnPTVsscILWszAynYIk+huLxWxKFqvvh7Gei7HuOxRav0/ZkPiogExLrMaxqUqNATNTVVcr6aLijo6PvtmnTpn29SwBcqFGgDo9wDzjgAJVMJtX27duNn+vlCRMmVL1PNpt1bgDqEzUK1OERbiaTUccdd5xauXJl38/K5bKzfPLJJ9fqaQEAiF8/XN0l6Morr1THH3+80/f2nnvuUZ2dnc5Vy3Fj2SKD9Y9kPes9oa5YXyqLuTxd25dFsFlwdyB0lov+ma3ocFoQ6/PKHEi25Aqki2XRrzbgdVhh3xdgsGRNls1lqySWxeUHlqssrJIcd9usx3zJrIM9xRbf8Y3lnLbe8ZH7nw/3s7JZz7vKo32fS+6L3Ff5Wtyv1f0eVH+P/N9jJT+DJlfTBvfSSy9VO3fuVLfddpsz8MUxxxyjnn/+ec+FVAAANLuajzQ1Z84c5wYAQJzV1VXKAAA0q+afD9cuD7hPri0zHE+AqPzzCHn/suu5RZaRkMtFuWxmQqLrrLLzZs7SmTPHP96Zq8xp+XF2jO9YqgnLHAt5j93l+zJ32+ZzbSrsbyx/nK8836f5Nt/9VDnzM0kUxOs24yiVkJmReN8s986KPClueVHsuOut2uddKgdktP7r/WrU1fW86ve6s8f83n+WM3PUzfn9fWtUkuMj+2W2G/JjfZ9L7ovcV2+N+tSnrMeQ77ESn5E3Z5dF3Vg4wgUAIAI0uAAARIAGFwCACDR/hjucRJ5gu/PhKvmEO4+wSmb4mCiY2yby5mMnRWYrpqxUxS6REXWao/9saankOCPkgwmyX96ohPlkJfF3WVfZzHi2iEzo353jKuv2mnlSd6d530S3mUUnxetMmlPvqmRO5mjiM3AtW8WSfz4kl+XnJ8JrmfEjer7XWQT0qw3MdMV3KVGwfb977u9mUkSqSVGfub3m9357S+UaC60lKcLQgBr1y3jltjKz/XDvAea+7B3lu6/ytbhfa2B9ivfQEu9xcGbr8xk2YH1yhAsAQARocAEAiACnlP2IU8a2vKRdnsIQp42V65SmVRCnlPPmY6XEqZhUtzh91WV2l0ntEUPHZUS3oOTIyn6L4RT3Fs3Tzx9nzVNObeI8UVnMHZgrm18b2fXHfRp5566R5mN1mPuZ2SNeV6exqJI98lS7OO2XM99X4332nCIWn6f4fOk21FxsUY/eyMfnu+OcDjWXk6IrXsr13UyL+ix1msvljDn86a6UedpX6imZNbY1a0Yzo2TG5DNUo+z2I08h79plrrd2m/uaEq8l3VX9PdCSIhqT76Ellj2/M2WNyvUNjiNcAAAiQIMLAEAEaHABAIhArDNcTxeDhBw2LBnQrcA/f1DFYv/5UM7sBpDsMZ8rLXKTUlZMc2fGLMpOyin3KjnO9oK5bne3meG2ZduN5UzKPzcpiOm75HCN7q4/MrNN7zLvmxGzjqVFhpvuFBlRt+xOJTKivOt9LRT8P6+Sf0YvM3xvpk/mu89r1HV9gucai6B6ddVn1RrtMZdT3eZyOlN57lJG1K+sz4R5bFNQZg1+VvQfClJ2I8ok+69ROb2efCzZ7UdmtukOc1/Sokbd11mkO8u+75F8D62C/2fg+YxkV0z3Z9yA9ckRLgAAEaDBBQAgAjS4AABEIF4ZrjznP9Tp+mS+IPv1uZcLxf6zRqefrciAUua+lV15kfNcSf99t4qVxyuK6bW69pqZTVdW5CZJ+TrFg4t+vZ7pu1zDNcp+tjKz9SzvMT+jdKfI0brM9y3RIzIg9/scNLRjwHRuoTMg+f1CpDVqyc9XzOVoy8y2KH79iRpN5MxrAJJiGNJUurJvmbTlm9lKVtlcX8yLnLXL3Ldc1uxbq5I+37VSwrc+5VCNnn62QTW6t/LcqS5zP5IywxXvoRLvsaxR+Rn5XXfRiPXJES4AABGgwQUAIAI0uAAARCBeGW4AT2YruuF6+nl5MltxB3cekTezDEv0m02IzCclMlw7JXJTwRK5TdL1dMVu0ae3RfbpNZdtmeFKZfPx5Ox/7in2UmLasvRe/8zWnQ/9b3uRq3WbT2bJjCjnWi/yIJkPecZprcN+exjGsc9lxivzQvd3R2+fSvp+99JJVx34l6cns3XXp1aQNdo6+Bq1SuZjJcRzyakE3WMjVxvPXNZkZnelbtKdAfWZ93+PlSezDdk3vsFwhAsAQARocAEAiAANLgAAESDDDZUJJfz75YpM0C5UshRL9ssT/WgTsl+t6BvnIeak9eQ0+cr9iy0iH8r4PpSy3dmUMyateG6xnBAxjHs6XTlfphwbORXQzzbZZb6wRLd4oT3m3L3u8ZMD+/TJsXYbcGzWuPEfW1lcQxG2X64laq5H1KhcL5eNBxdPXTB/UMiLTFdmuNlwNWrsVmng9Vm9RsX4yKKvrTu3TXbmB12fYfvdejRgfXKECwBABGhwAQCIAA0uAAARiHeGGzBu65D75bozHjmur+iXK5878C8hkT8mimK5UHmEVMZ/XGaZD5XF6wyd4eYrGyRzcr5MOfZq0XfZ6hL99nryAx+bVazz9OmTmXsDjs3a9EKMrRw0d66nPl3XWFR97DA1KurRKol5nMWc1Mm8uVwSNVnKyhqVYzWbu2Y8t4yuxe+GZM7ut16rzWnrGR/Z1dfWm9nm/d/Dovg9KGvUc53FEHLaOqxPjnABAIgADS4AABGgwQUAIALxznDD5kUh++UaeYTs8yef269PX7W/jERGlCiY+5bIVTKickaOyyryIJkPBY0LK2IUS+bHruVETuRBYtkS89l65s/0ZEL5Affr8+RBnnFa7Ybv1xd3xny4iSHU50Bq1Pvkff9NyAy3KMZxzqf7rc9qYyV7alT0u/Xvh+ufJ8s+wYmCyGh7/Oe0NcZHlv1sZWYrlu2Q45n71Wgj1idHuAAARIAGFwCACHBKOYTgbgfm9u6TPrYSp1oEzwmigGEHE/L0qDwdlq98tLZnaq+E/+mpgNPbQV0g3NOgWeJ0lZyuy8oVfU8Re7r9yFPI8hSW+xSVHBYuYOjGRuxmEDs+sc9Q6nNQNeruZia+a1bRHD81KU/bilPKnhqV03PKoWETPjUq3wc5TaE83S1rVCx7atA9xV7Bv9uP5xRyQdarf9etUDFPA9RnTY5wN2zYoGbOnKmmTp2qWltb1fTp09XChQtVXuZvAADERE2OcD/44ANVLpfV/fffrw4++GD1zjvvqFmzZqnOzk61ePHiWjwlAADxa3DPP/9859Zr2rRpat26deree++lwQUAxFJkGW5HR4caM2aM7za5XM659dq9e7dqqKEfRWZk9K8pDWNeVCUrsQrp/rPRlMxwxaPLfChkhuvJdN0ZkRzKzTO0m8yAisOXCYXs5hPUTQh1XqNDqc+B1KisQbvy69OSNSG3FUM7WinzV6+VFOOpDuU6i4BrLDzXNgR0j/LWsKvrndw2aKjGUrjrKho9s90nVymvX79eLVmyRF1zzTW+2y1atEi1t7f33SZPnhzF7gEYIGoUiKjBnT9/vjMgv99N57dumzdvdk4vf+tb33JyXD8LFixwjoR7b5s2bRrcqwJQE9QoENEp5ZtuuknNmDHDdxud1/basmWLOuuss9Qpp5yiHnjggcDHz2azzg1AfaJGgYga3LFjxzq3gdBHtrqxPe6449SyZctUQuaETT5VmMwvPFP7hc2LSiID8mS6co481/bivbdEPuR5HX59/Jx9C8g63RmSzH88Q7mJzEb2+ZNT6IXIhBi6MWaGUJ//215kn3J7mY26lm35PZT94kVmq5LFUNdReGo2DE+NBOTNsubk7xb34wXVpxyqseTfzzZQA+a2Nb9oSje2Z555ppoyZYpzVfLOnTv71k2YMKEWTwkAQPwa3BUrVjgXSunbpEmTfP9KBAAgDmpynlfnvLphrXYDACCOGEt5KIKm63NloYF5kXwsn7yo6uOJfnxGv75EQB++oH63Qfz65QZlOJ5Mx65ZJhSY2TZ4PoRw9SkFjr0s+u0a3yc5XnFJ9KOVOaonoxUXeQTVbBiezDaohmS/XZHT+owhHXidhF2OdU02wZVMAADUPxpcAAAiQIMLAEAEyHD3UWbkyYtk/is66nqyDpnxyBzG3a9P5j9BfaLDjqUsuTMemcl6xqP1z5eGPRPyuS+a3BDHRvdeo+EeM1xsK/sAy4xX1KCnr2vYmvUTVHOCp0aDxj82VpHZ+uEIFwCACNDgAgAQARpcAAAiQIZbJ3N1egdXlv3wZN84sVpkup4MKcxYyUMVYg7LoWY6zTZfJhoo03XXoKfexHzV8nsfMM5zTWs0ZM0NpcbintlKHOECABABGlwAACLAKeWoBJ06CXnK2XMKWZxi9pyC7v+hojXUU1AhHw+o1Slmc9OA73WY+qwyjORwGs7TvNRrOBzhAgAQARpcAAAiQIMLAEAEyHCbJuOVSv3mvVEKnfF4H2C4dgWoWU2G/Z6HznwbpWapV18c4QIAEAEaXAAAIkCDCwBABMhwmzTjHdYctZbIfNCownx3Q1+DUUeo0WHDES4AABGgwQUAIAI0uAAARIAMt1mQswD1i/oER7gAAESDBhcAgAjQ4AIAEAEaXAAAIkCDCwBABGhwAQCIAA0uAAARoMEFACACNLgAAESABhcAgAjQ4AIAEAEaXAAAmqHBzeVy6phjjlGWZak333yz1k8HAEA8G9xbbrlFTZw4sdZPAwBAfBvc5557Tr344otq8eLFtXwaAADiOx/u9u3b1axZs9RTTz2lRowYMeDTz/rWa/fu3bXaPQCDQI0CdXaEa9u2mjFjhrr22mvV8ccfP+D7LVq0SLW3t/fdJk+eXIvdAzBI1CgweJatW8cBmj9/vvrFL37hu83777/vnEZ+/PHH1erVq1UymVQbNmxQU6dOVf/4xz+cC6gG+tdzR0eHOvDAA9Vp6gKVUumB7ibQVIqqoF5Wz6pdu3Y5jdy+RI0Cg6/PUA3uzp071aeffuq7zbRp09Qll1yi/vjHPzpXJvcqlUpO43v55Zerhx56aEDP9/HHH/MXNPD/Nm3apCZNmqTqCTUKDLw+QzW4A7Vx40Yj29myZYs677zz1O9+9zt10kknDfiXRrlcdu47atQoo/He1/Rr079k9Bs8evRo1cx4rfueLtE9e/Y4V/snEvXVdb4ea7ReP8daiNNrrdfXG6Y+a3LRlD7F5DZy5Ejn3+nTp4f6C13vfL39Re+mP/B6+dBrjde6b+3rU8mNWKP1+DnWSpxeaz2+3oHWZ339uQwAQJOqWbcgt4MOOsg57AYAIK44wh2EbDarFi5c6Pzb7HitaDRx+hzj9Fqb4fXW5KIpAABg4ggXAIAI0OACABABGlwAACJAgwsAQARocAEAiAANbgA98cLMmTOdyRdaW1ud0bL0Zen5fN73fmeeeaYz1J37pmdPqkdLly51+kq3tLQ4Q2++8cYbvtv/9re/VYcddpiz/ZFHHqmeffZZ1Qiz3JxwwgnOEITjxo1TF198sVq3bp3vfZYvX+75DPVrRn1p9hqNQ33GpUZpcAN88MEHznix999/v3r33XfV3Xffre677z516623Bt5Xzwe8devWvtudd96p6s1jjz2mbrzxRucX1Nq1a9XRRx/tjHu9Y8eOqtu/+uqr6jvf+Y7zC07P/qSLQt/eeecdVc/0zFWzZ89Wr7/+ulqxYoUqFArq3HPPVZ2dnb7308PHuT/D//73v5HtMwammWs0LvUZmxrV/XARzp133mlPnTrVd5szzjjDvuGGG+x6d+KJJ9qzZ8/uWy6VSvbEiRPtRYsWVd3+kksusS+88ELjZyeddJJ9zTXX2I1kx44duv+5vXr16n63WbZsmd3e3h7pfmF4NEuNxrU+m7VGOcIdBD0H6JgxYwK3e/jhh9UBBxygjjjiCLVgwQLV1dWl6ok+5bZmzRp1zjnnGIPR6+XXXnut6n30z93ba/ov7v62r+fPUAv6HPfu3aumTJnizFBy0UUXOUdQqH/NUKNxrs9mrdFIxlJuJuvXr1dLlixRixcv9t3usssuc74Eesqmt956S82bN8/JI5544glVLz755BNnnuLx48cbP9fL+jRdNdu2bau6vf55o9CnH+fOnatOPfVU5xdtfw499FD14IMPqqOOOsopfv2Zn3LKKU5B1+sMOWieGo1rfTZ1jdoxNW/ePOd0hd/t/fffN+7z8ccf29OnT7dnzpwZ+vlWrlzpPOb69evterF582Znn1599VXj5zfffLNzKquadDptP/LII8bPli5dao8bN85uFNdee609ZcoUe9OmTaHul8/nnc//Rz/6Uc32DRVxr9G41mcz12hsj3BvuukmNWPGDN9tpk2b1vd/Pcn2WWed5fz19MADD4R+Pn11Ye9f3/oqynqgT6Ulk0m1fft24+d6ecKECVXvo38eZvt6M2fOHPXMM8+ol156KfRfwOl0Wh177LHOZ4jai3uNxrE+m71GY9vgjh071rkNxObNm51CPu6449SyZcucHCWsN9980/n3i1/8oqoXmUzGeU0rV650rmTsPZWjl/WXvpqTTz7ZWa9P9/TSVxTqn9czPUfH9ddfr5588km1atUqpwtJWPr03ttvv60uuOCCmuwjTHGv0TjVZ2xqdF8fYtc7fYrq4IMPts8++2zn/1u3bu27ubc59NBD7b/+9a/Osj4ldccdd9h///vf7Y8++sh++umn7WnTptmnn366XW8effRRO5vN2suXL7ffe+89++qrr7b3228/e9u2bc76K664wp4/f37f9q+88oqdSqXsxYsXO6fzFi5c6JzGevvtt+16dt111zlXM65atcr4DLu6uvq2ka/19ttvt1944QX7ww8/tNesWWN/+9vftltaWux33313H70KxK1G41KfcalRGtwA+rLz/vKjXrpg9fKf//xnZ3njxo1O4Y4ZM8YpFv3LQOcuHR0ddj1asmSJfeCBB9qZTMbJhl5//XWj68SVV15pbP/444/bhxxyiLP9V77yFftPf/qTXe/6+wz159vfa507d27f+zJ+/Hj7ggsusNeuXbuPXgHiWqNxqM+41Cjz4QIAEAH64QIAEAEaXAAAIkCDCwBABGhwAQCIAA0uAAARoMEFACACNLgAAESABhcAgAjQ4AIAEAEaXAAAIkCDCwCAqr3/A/jBEwqjtFosAAAAAElFTkSuQmCC", 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" ] From 5c99d53df3b319c16025d773c37f8ea43355a2d3 Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Mon, 13 Oct 2025 17:25:01 -0400 Subject: [PATCH 23/27] Rename variables --- gpsr/beams.py | 14 ++++++-------- 1 file changed, 6 insertions(+), 8 deletions(-) diff --git a/gpsr/beams.py b/gpsr/beams.py index 16aad3d..3be7c8d 100644 --- a/gpsr/beams.py +++ b/gpsr/beams.py @@ -129,11 +129,9 @@ def __init__(self, ndim: int, cov_matrix: torch.Tensor = None) -> None: unnorm_matrix = torch.linalg.cholesky(cov_matrix) unnorm_matrix_log_det = torch.log(torch.abs(torch.linalg.det(unnorm_matrix))) norm_matrix = torch.linalg.inv(unnorm_matrix) - norm_matrix_log_det = torch.log(torch.abs(torch.linalg.det(norm_matrix))) self.register_buffer("cov_matrix", cov_matrix) self.register_buffer("norm_matrix", norm_matrix) - self.register_buffer("norm_matrix_log_det", norm_matrix_log_det) self.register_buffer("unnorm_matrix", unnorm_matrix) self.register_buffer("unnorm_matrix_log_det", unnorm_matrix_log_det) @@ -161,16 +159,16 @@ def sample(self, n: int) -> torch.Tensor: def log_prob(self, x: torch.Tensor) -> torch.Tensor: """Evaluate log probabilities {log(p(x_i))}.""" z = torch.matmul(x, self.norm_matrix.T) - log_prob = self._log_prob(z) - log_prob = log_prob - self.norm_matrix_log_det - return log_prob + log_p_z = self._log_prob(z) + log_p_x = log_p_z - self.unnorm_matrix_log_det + return log_p_x def sample_and_log_prob(self, n: int) -> tuple[torch.Tensor, torch.Tensor]: """Generate samples {x_i} and log probabilities {log(p(x_i))}.""" - z, log_prob = self._sample_and_log_prob(n) + z, log_p_z = self._sample_and_log_prob(n) x = torch.matmul(z, self.unnorm_matrix.T) - log_prob = log_prob - self.unnorm_matrix_log_det - return (x, log_prob) + log_p_x = log_p_z - self.unnorm_matrix_log_det + return (x, log_p_x) def entropy(self, n: int, prior: Any = None) -> torch.Tensor: """Estimate the entropy of the distribution. From 61b6a2e097527e029b4dd6f39aa529561768c8b4 Mon Sep 17 00:00:00 2001 From: austin-hoover Date: Mon, 13 Oct 2025 17:25:45 -0400 Subject: [PATCH 24/27] Add reverse KL minimization examples with ring distribution Here it is easier to see when the model is failing --- .../kl/{kl_nn.ipynb => kl_nn_gauss.ipynb} | 0 docs/examples/kl/kl_nn_rings.ipynb | 177 +++++++++++++++++ .../kl/{kl_nsf.ipynb => kl_nsf_gauss.ipynb} | 0 docs/examples/kl/kl_nsf_rings.ipynb | 186 ++++++++++++++++++ 4 files changed, 363 insertions(+) rename docs/examples/kl/{kl_nn.ipynb => kl_nn_gauss.ipynb} (100%) create mode 100644 docs/examples/kl/kl_nn_rings.ipynb rename docs/examples/kl/{kl_nsf.ipynb => kl_nsf_gauss.ipynb} (100%) create mode 100644 docs/examples/kl/kl_nsf_rings.ipynb diff --git a/docs/examples/kl/kl_nn.ipynb b/docs/examples/kl/kl_nn_gauss.ipynb similarity index 100% rename from docs/examples/kl/kl_nn.ipynb rename to docs/examples/kl/kl_nn_gauss.ipynb diff --git a/docs/examples/kl/kl_nn_rings.ipynb b/docs/examples/kl/kl_nn_rings.ipynb new file mode 100644 index 0000000..4b081cf --- /dev/null +++ b/docs/examples/kl/kl_nn_rings.ipynb @@ -0,0 +1,177 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "ecf3fd1a", + "metadata": {}, + "source": [ + "# Test KL minimization with non-invertible transformation" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "8f899f1d", + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import torch\n", + "\n", + "from gpsr.beams import NNDist" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "5dea9acd", + "metadata": {}, + "outputs": [], + "source": [ + "class Prior:\n", + " def log_prob(self, x: torch.Tensor) -> torch.Tensor:\n", + " x1 = x[:, 0]\n", + " x2 = x[:, 1]\n", + " return torch.sin(torch.pi * x1) - 2 * (x1**2 + x2**2 - 2.0) ** 2" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "ed6f9f69", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 tensor(11.8429, grad_fn=)\n", + "50 tensor(-1.1181, grad_fn=)\n", + "100 tensor(-1.4467, grad_fn=)\n", + "150 tensor(-1.5458, grad_fn=)\n", + "200 tensor(-1.5722, grad_fn=)\n", + "250 tensor(-1.5858, grad_fn=)\n", + "300 tensor(-1.5914, grad_fn=)\n", + "350 tensor(-1.5961, grad_fn=)\n", + "400 tensor(-1.6013, grad_fn=)\n", + "450 tensor(-1.6040, grad_fn=)\n", + "500 tensor(-1.6058, grad_fn=)\n" + ] + } + ], + "source": [ + "ndim = 2\n", + "nsamp = 10_000\n", + "\n", + "prior = Prior()\n", + "\n", + "dist = NNDist(width=32, depth=2, ndim=ndim)\n", + "optimizer = torch.optim.Adam(dist.parameters(), lr=0.01)\n", + "\n", + "history = {\"loss\": []}\n", + "\n", + "for iteration in range(501):\n", + " loss = -dist.entropy(nsamp, prior=prior)\n", + " loss.backward()\n", + " optimizer.step()\n", + " optimizer.zero_grad()\n", + "\n", + " history[\"loss\"].append(loss.item())\n", + "\n", + " if iteration % 50 == 0:\n", + " print(iteration, loss)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "664c404d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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aRJjGR4WRtd0humgk9QkX43xxLdFqc5AlzEwcc5x14WYTxUaGkcOhkENRyK4Q8bmEUJOJwswh4v1hZhPVNreJzzCHhFCUxUyRYWbxWbyEmULEtvnzeF3+bL7l9/LrbXaHCGLeN/r/shy2Wtzyuq3tDtE+yJ+lreZaW33Crt5y+fg9vJhCQsTPVt/aLraXGG0hq81ONociXuM/Dox/Pi6/SX1fqPpevqqBZ/Hm6dsSop37QsNl53ZJXkeUWVd2523Hc+KB2zp8v2O97l7jG/6dtdkc4vfH5eRyxUaEUmS4WZSLf5Zwc4hYh/etft/oU0Dhf4rz8/n/Bf8OtXX4NYfDuR+0x7wdfrv2OzOp+4WbMSZfnXzB/38IKwOH1cXwf/j6lnYRYr/WNIovJ7eLcRCcb2qjJqtNhEVNg1V82bQwsLZ33AfoDQPiI+mb/77Za99PtOAaDP81T4gOFwv3pr9c/Lep3a50G2RcO+Ae+TERYeIvNdd++LCU/xrz+/gvJtdaeF3t71xLu52arHbxmvhrHxLirGE5FFFb4ffZHA7qYwkT6/PnNrS2i7/02mGpcz3+TGdNhPGt3a6IQ1j+i82dbrWajOvnUX8msb7NIT6Lb7Xak75Wwvccam2Aa1W8Pa2c6ibFevx+rmVyzcBZNoVa2m2uWpz+PXyffw4uF9fo2myK2H9cu9BKySXhmhbXKrWydtT2nOVx/m6035H2krP2ol9f0b2x82vO/cL7y1kLFI8UoqY2m7jPP0tLu4OiwsyizJrONTbts/hna+Xfu81Zu9ZqUdp+4Of4lj+L74t9of6uufaVFBNO3oSwCjL8Hy081Bk4zrEkAIwBl9sAgCEgrADAEBBWAGAICCsAMISAb2DXzr70ZP5AAPAt7Xt5KT2oAj6sGhoaxO2Vzh8IAL79nnJ/q6DuFMqz4ZSXl1NMTMwFLy3hhOdA43kGA6HzqAywT72vPsD2KccPB1VaWpqYbT2oa1a8AwYOHHjJ6/N/gED4TyAT7FPviw2gfXqxGpUGDewAYAgIKwAwBISViqecz8vL8+rU88EO+9T7LEG8TwO+gR0AAgNqVgBgCAgrADAEhBUAGALCCgAMAWGlWrNmDWVkZFBERARlZWVRcXGxv4skpfz8fLr++uvFFQH9+vWjmTNn0rFjx9zWaW1tpSeeeIISExOpT58+9Je//IWqqqrc1jl79izdcccdFBUVJT7n2WefJZvt4hNlBLoXX3xRXGmxYMEC13PYnyo+GxjsNm/erISHhyvvvfeeUlpaqsyZM0eJj49Xqqqq/F006eTk5Cjvv/++cvjwYeXgwYPK7bffrgwaNEhpbGx0rfP4448r6enpSmFhoVJSUqJMmDBBufHGG12v22w2ZdSoUcrUqVOVH374Qdm2bZuSlJSkLF68WAlmxcXFSkZGhjJmzBjlqaeecj2P/emEsFIU5YYbblCeeOIJ12O73a6kpaUp+fn5fi2XEVRXV4th0Pfu3Sse19bWKmFhYcqHH37oWufo0aNinaKiIvGYv0wmk0mprKx0rfPGG28osbGxitVqVYJRQ0ODMnz4cGXnzp3K5MmTXWGF/dkh6A8D29raaP/+/TR16lS36wn5cVFRkV/LZgQ8Kwnr27evuOV92d7e7rY/R4wYQYMGDXLtT74dPXo0paSkuNbJyckRF+mWlpZSMOLDPD6M0+83hv0ZRBcyX0xNTQ3Z7Xa3XzTjxz///LPfymWUES24bWXixIk0atQo8VxlZSWFh4dTfHx8l/3Jr2nreNrf2mvBZvPmzXTgwAH6/vvvu7yG/dkh6MMKrqw2cPjwYfr666/9XRTD4qFennrqKdq5c6c4uQPdC/rDwKSkJDKbzV3OrvDj1NRUv5VLdk8++SR9/vnntGfPHrcheHif8aF1bW1tt/uTbz3tb+21YMKHedXV1XTttddSaGioWPbu3UurV68W97mGhP3pFPRhxVXs8ePHU2FhodvhDT/Ozs72a9lkxCdlOKg++eQT2r17Nw0ZMsTtdd6XYWFhbvuTuzbwqXVtf/LtTz/9JL6kGq5Z8PhMI0eOpGByyy23iH1x8OBB13LdddfRgw8+6LqP/anSNbYHddcFi8WirFu3Tjly5Igyd+5c0XVBf3YFnObNm6fExcUpX375pVJRUeFampub3U61c3eG3bt3i1Pt2dnZYul8qn3atGmi+0NBQYGSnJwccKfae0p/NpBhfzohrFSvvfaa+A/B/a24K8O+ffv8XSQpaTO2d16475WmpaVFmT9/vpKQkKBERUUpd999twg0vdOnTyvTp09XIiMjRZ+gZ555Rmlvb/fDTyR/WGF/OmGIGAAwhKBvswIAY0BYAYAhIKwAwBAQVgBgCAgrADAEhBUAGALCCgAMAWEFAYlHfV21apW/iwFehLCCK/bII4+I4Y3ZlClT3Ibk9bV169Z1GT6F8XArc+fO7bVygO9hiBiQEo80wBeZ91RycrJXywP+h5oVeLWGxcObvPrqq2LSA15Onz4tXuNxr6ZPny4mPOBhT2bPni0GPtRwjYxHc+BaGQ/bwyNdshUrVohRMKOjoyk9PZ3mz59PjY2N4rUvv/ySHn30UTFaqba9559/3uNhII9SkJubK7bPoxH89a9/dRtWhd83duxY2rhxo3hvXFwczZo1ixoaGnpt/8GFIazAazikeLiSOXPmUEVFhVg4YHgspptvvpnGjRtHJSUlVFBQIIKCA0Nv/fr1ojb1zTff0Nq1a11DTPPYTjw8L7/Ow9IsWrRIvHbjjTeKQOLw0ba3cOHCLuXiIX84qM6fPy/ClIdP+fXXX+m+++5zW+/kyZO0detWMU4XL7wuzzYDklAvaAbosYcffljJzc31OGIAe+GFF8TwJXplZWVitIZjx4653jdu3LiLbosnTkhMTHQ95tEeeMiazgYPHqysXLlS3N+xY4diNpuVs2fPul7nWYx4+zyjDMvLyxMjGtTX17vWefbZZ5WsrKxL3g/gW6hZgc8dOnRIjCjKh2DawpMeaLUZ/cB9ne3atUsMUDdgwAAxVyEfPp47d46am5sveftHjx4VNTxeNDwoHTfM82saPvzjbWj69+/vNqAd+Bca2MHnuI1pxowZ9NJLL3V5jQNBw+1Setzedeedd9K8efNo2bJlYgYdHu/9scceEw3wPKGnN/GInHrcBsaHkCAHhBV4Fbc58WxBejy++McffyxqLjyu+OWMT85h8corr4i2K/bBBx9cdHud/fGPfxQTM/Ci1a6OHDki2tICatjfAIfDQPAqDqTvvvtO1Ir4bB+HDc+Cw43b999/v+j/xId+27dvF2fyLhQ0w4YNE3Pmvfbaa6JBnM/UaQ3v+u1xzY3HKOfteTo85Dn3+Iwij2vOU14VFxfTQw89RJMnTxZjnIMxIKzAq/hsHM8WxDUW7uvEXQbS0tLEGT4OpmnTpong4C4K3Gak1Zg8yczMFF0X+PCR5yXctGkT5efnu63DZwQff/xxcWaPt7d8+fIun8OHc59++iklJCTQn//8ZxFeQ4cOpS1btvhkH4BvYFhjADAE1KwAwBAQVgBgCAgrADAEhBUAGALCCgAMAWEFAIaAsAIAQ0BYAYAhIKwAwBAQVgBgCAgrADAEhBUAkBH8P4RaboiLkCC5AAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(3.0, 2.0))\n", + "ax.plot(history[\"loss\"])\n", + "ax.set_xlabel(\"Iteration\")\n", + "ax.set_ylabel(\"Loss\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "c96ede97", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "with torch.no_grad():\n", + " grid_shape = (128, 128)\n", + " grid_edges = [torch.linspace(-4.0, 4.0, n + 1) for n in grid_shape]\n", + " grid_coords = [0.5 * (e[:-1] + e[1:]) for e in grid_edges]\n", + " grid_points = torch.stack(\n", + " [c.ravel() for c in torch.meshgrid(*grid_coords, indexing=\"ij\")], axis=-1\n", + " )\n", + " grid_values = torch.exp(prior.log_prob(grid_points)).reshape(grid_shape)\n", + "\n", + " x = dist.sample(256_000)\n", + "\n", + " fig, axs = plt.subplots(ncols=2, sharex=True, sharey=True, figsize=(5.5, 2.5))\n", + " axs[0].hist2d(x[:, 0], x[:, 1], bins=grid_edges)\n", + " axs[1].pcolormesh(grid_coords[0], grid_coords[1], grid_values.T)\n", + " axs[0].set_title(\"Model\", fontsize=\"medium\")\n", + " axs[1].set_title(\"Prior\", fontsize=\"medium\")\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5bad2980", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "gpsr", + "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": 5 +} diff --git a/docs/examples/kl/kl_nsf.ipynb b/docs/examples/kl/kl_nsf_gauss.ipynb similarity index 100% rename from docs/examples/kl/kl_nsf.ipynb rename to docs/examples/kl/kl_nsf_gauss.ipynb diff --git a/docs/examples/kl/kl_nsf_rings.ipynb b/docs/examples/kl/kl_nsf_rings.ipynb new file mode 100644 index 0000000..62f6241 --- /dev/null +++ b/docs/examples/kl/kl_nsf_rings.ipynb @@ -0,0 +1,186 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "ecf3fd1a", + "metadata": {}, + "source": [ + "# Test KL minimization with invertible transformation" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "8f899f1d", + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import torch\n", + "\n", + "from gpsr.beams import NSFDist" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "eabffd5d", + "metadata": {}, + "outputs": [], + "source": [ + "class Prior:\n", + " def log_prob(self, x: torch.Tensor) -> torch.Tensor:\n", + " x1 = x[:, 0]\n", + " x2 = x[:, 1]\n", + " return torch.sin(torch.pi * x1) - 2 * (x1**2 + x2**2 - 2.0) ** 2" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "ed6f9f69", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 tensor(6.3924, grad_fn=)\n", + "10 tensor(-0.1136, grad_fn=)\n", + "20 tensor(-0.5151, grad_fn=)\n", + "30 tensor(-0.8193, grad_fn=)\n", + "40 tensor(-1.2069, grad_fn=)\n", + "50 tensor(-1.4203, grad_fn=)\n", + "60 tensor(-1.4882, grad_fn=)\n", + "70 tensor(-1.5201, grad_fn=)\n", + "80 tensor(-1.5678, grad_fn=)\n", + "90 tensor(-1.5753, grad_fn=)\n", + "100 tensor(-1.5831, grad_fn=)\n", + "110 tensor(-1.5846, grad_fn=)\n", + "120 tensor(-1.5980, grad_fn=)\n", + "130 tensor(-1.5953, grad_fn=)\n", + "140 tensor(-1.5973, grad_fn=)\n", + "150 tensor(-1.5994, grad_fn=)\n", + "160 tensor(-1.5954, grad_fn=)\n", + "170 tensor(-1.6001, grad_fn=)\n", + "180 tensor(-1.6017, grad_fn=)\n", + "190 tensor(-1.5951, grad_fn=)\n" + ] + } + ], + "source": [ + "ndim = 2\n", + "nsamp = 10_000\n", + "\n", + "prior = Prior()\n", + "\n", + "dist = NSFDist(width=64, depth=3, layers=3, ndim=ndim)\n", + "optimizer = torch.optim.Adam(dist.parameters(), lr=0.01)\n", + "\n", + "history = {\"loss\": []}\n", + "\n", + "for iteration in range(200):\n", + " loss = -dist.entropy(nsamp, prior=prior)\n", + " loss.backward()\n", + " optimizer.step()\n", + " optimizer.zero_grad()\n", + "\n", + " history[\"loss\"].append(loss.item())\n", + "\n", + " if iteration % 10 == 0:\n", + " print(iteration, loss)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "664c404d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(3.0, 2.0))\n", + "ax.plot(history[\"loss\"])\n", + "ax.set_xlabel(\"Iteration\")\n", + "ax.set_ylabel(\"Loss\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "2203c1b5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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bf8YqQzAOErJzUkmOl6QC/qnya3ROcZsYb/KmyCEpdy+smqDHxjaL8aOjJ9N0UWpxnoCXvWExztm2UcBU6blLhSKGEl4Q4IIGAAAAMgAW8DInXTTD5oIY2qU8OkTUlEFVSTFnLNp4tEhOVeb3dUuBTL7nSfaBujmnyOm19EzcJrsjrU47SshT+YNMY0KO3TqRpbxPnTE1y7cTeuol2YrufxfeT58Zf1SM/0dpF70U7RDjf6udSh/e9EMx/lburTRZWSvGU5tdGnWkxV7sJmQ15fWSH5FlchDh6gIDQKpQhgl+DAKy2FvFcBCkzixga1aVihSWbvo08xQt0jItX5DJ57XDhGy1gmN3EnJa8jj+GbalXNc70gvW7HrkWVKm1jkRTSi5e6t3gE5w/0uMh90m/V/7p8S4Yo1Ks5qJi5TXHrfU9fE3gDt6YYACXu6CzcpXrw/5vlS8vG5z/LBZu2Xh1In3dsgCoSKcOb1IyUc8nCcrVOlJHSU8Kt1IvoeFuUtOS61dxT2Bb6xxqCW9UlR6SQn4CRbZ49IF/ejuU2i1J11eb8/tonGnKsZrvFkKE3n8u1e9Sl/fpBartueoNarc0a2eO9raP0O2GnM0t24AASEHy36t1/fkBJkp5ClRWQacLhT7yo2sXMjieJ54qsmxFcWU6AyBLleiUvIQsdZVSjdJekqwT1n3CuKwwk4cqez3ODJt4Wl3vVj7ZXwrotN9uR48audooyvzF3669CJNrpHPlUdaPtVbUkk7HY/sSK4ZB1wxL/X5+tmAifKbAy5oAAAAIANgAS9TTNGKYl7mzfJEc2yYKptHTCCGHcqZde5AaDoDpl1b3YJH3gFVbq7ZoUTPxB2LrJbKvfVdcvepvL9CQJ4cUlTyqa2s1NIudg3LW6UjJ8rkz9jUKsh9BzolenF8XIxfaa6ic4ZfEuMN3hTttuT1VqIcDZdlXejZ1R61puW5o7xPTktaC14Uk6XrSDeaZKdqR6OTEliObmdbZx+w9TsshaNbLlA0JOW3m7ONK5mNWS4HyTidmOy2snS15Sve0O2NU5au1eHAK/W5HYfsjvZaueY5wD/tUH5WS7mgX+mMU60tx3vHh2jb8HYx3hzspqKyrmOyaU0gBX/tSIVeGVfu66pHXkMtf7WL5KulKl4mMnLaUVawuF5YwkcLFPAyQruzRFENX6UblYomMb+9tmQq3NTWWVTaLd/XWMNKTN78Xj2mWClvtxFRVJZrUS4Ljar9KipfKaVuv7pP1JMVnzXdEQqf8Wstcms5o9RjV7rX3KZ8CDSTnrurvSakf//x28R47ZpZqnfl5581/Aq92JiQ1xsFtHZIuqYrxQLVN8jzDL1sUTisriUqkKsKxBMXADA9hjuolgWWDSba2fek4hWT4xGKVJ309qhHYTGVTaBuWaedkApYJurwZFMpWM5O0MtDvLaqKtOJe10rYa7fbpalHLJ0TeemS05LntVteuQ25bPCbej4DY9mqjLd6NGZAr0wLuXxpOEpOj4v3dG8RjzZUW5nKyanIM/dKXvUGpXf1avzM0Z+V4eL/XCzFnGN6SYrvR7i4MiACxoAAADIAFjAywlt5XFEZU5an/HqsnAHM1wmsjGu8gUdWSxDRy9r1xOXkMxNtk1hDXtKWp2kai+L97bbvRkso8rN9QV3ODbZukZ03qfSy3IcDcvrys24FBbk9dYnPYpU06N9U+O0Z0y6nfdtLNGILwM9GpFHP9klZ99JxIFf8nhOH9YBWW7dIbssZ9miUIeKiGZXdK9Dy5v7EwPwZkjn+NqlorB8mc7aIWquUR6hsk2RCoJm69dVjidbu5Z1EJayem1u56k9P/xT58Kzmzctk3p5yU4Ff7ku2coCths+OU15bV5N7vNrDvlVKaetmTztnpLert2jIzRUlhc2lGuTpdzR1VZASawyKvyEwoIct4dtcuvyvXaTAzrV9XIgmbHkQ8jnUQIFvFyKbHAKg+7x6XsUHyerRjWOL1BztXJNc/670tFcGEMrvcI+jqhUNZqbsVC84viZulG8ot2YLv7OBS/0x1s2xSoNyOIUCZ1eYKdcXjWHLLW+5U/LdCZ3rER59Zl+pUjtUXnt+f0WNdbKh8C22fVmbVpcgyriYbdt8qo6dUJOJuR3skVEqPnT6DrW3Mu4porF8zXBzQWyXPctqGjn0bJQvExtvU9NNTkOVZwE4zR5vVe9SKi3dtuOyGrq5ZYOkY74D1mJaQXci4juvxarvzdwRyngVpvslpQZh2uyC1d0QH5VKeOKQ+1pVTd6JEf1sjy2UuoSBSmZaqtnUreXkcSTfZ7ci3MWA3JV3IaYyKcaNphe35DRIwIuaAAAACADYAEvk2hnjvJ1hlTd5NVjwvJlGhMuNVfLY7nknCkJqV6Lc0Q8y1bW6GyH7IryeXH3Iz07tS1K6srS5QAvZenG3a5pDUicc6wtYMemJFX2UndSEu9VbmFtFbC3TbunEsem/H55W7HlruKxqLGWrWN1KXMDmtWk2Wl1Tek9Gi6SpV3j7a4pRsINw80YkdFgiTAuX/bKqFrr4cSQsHyZ2nqL2qtUVLGXkN1Wy0MdruPaC8Lie1zsb4Zk6e5kLH/KBZ2kLEqRGzyfBSwupNdJScustIblebRb2m+GRja9mk9BRbnJZ21qDyuLveRSN9//TBHnCNlVrl9wmUop7928S3ZBuaPZcjfuaI6ORn7w0QAFnCWWbZSIXSoRqfWkcE2JGuPyv6ZyEr+Wx1h+l+y9StG5CXkVtbYzatOqnVK5uvurZk03aTTkGo1wQbMvTKUh6fUmUSDeNdW1WIC0C0mIZioNyFKHJE2dihDLFod87fUWeaq4R5L3KHGVeypOKPa0O8uWvUmF26rnduaJg1+TnxnlHZPu5HCyP0eAM51Q1xroWw8GYMkKbugqV4U8xWNSATfWBkLxivHxXbKGlRLt2pRMqyyGLpGr0o3cRpechpJlrmKn5ZQVsFKi4t5WMptWYMa1m+4pLI6P5QycYflWsR2WlvEwIluNvZZPTiOljGd1amGqj3BOxmVo9Kl5EqFllhWxq1ojcgaF+az0erCQ0zf01z6mgAsaAAAAyABYwBnSVz+2PGTcTe0Rjyony2PCdR1628bXxHh/o0gz2gK2etGVpdcicmqtXuSkdimLGWlqFq3dyymXGrt05w2c4DxfbQ1z9xXtFtMuLg7YmplVJ7NM7Vv+GShr2B3KUXuVbvodU1eVy2TLOB2cFZaUlczR0dN69p/02i16rgkaEwFkcSqCG/nBYJHp6240PEStCbk8VD3eFpYvk1vboMCXslGt5slSvlwOwHIb2gKOyGootzNbv9oFzfe0zkpIeaEOdU/3WZYcvaxfs4zqFofaS8RuYeUitto+OW2dPxySo1zTnCscFeX7OOq5G6go6FQtas60MELoWKa8ph14ZlmKA7IS447mDk8IyHo9oICzRKyj9iKTO5tkNSkutuFr3faWDg17UqGuWz1L/z4qa7w60y7lD8gbPJhsk9VQSne22lOWLAxKsIVQp1zKfe7ltEtLr+GwkutTyP1CFNdqvYeSaHWoXF/NlnEXu63QNHrgdaOomFpgUnBqVX6ffG83b1NUUEUFuomoKCS+Kz9EtLuOz68nD1hnAkvVaKEgl1W6Y0VqrJWPzcbxCRXWyej8DaMz1IzkvVut5M0asNvgIhaq33YjJKup4xraYvJ78LrvHDl9XbpGfoU86PekFHCfMtZyGgbkqomy3fbJbaio6aIrqneJw31ugdj7JG4CodHVvThmwzwHuECHKvAjJv8o0PG6wAUNAAAAZAAs4IzR1pxsvi3nQ9X1NnWkoUtJ16LXGjI6en/lOLJV4ERpu0W5KeUO5pmstqS54bfOKezOH7AkPjM9I025cc1sOjX75kAxE3msi2PwrNdEPLK1rI7n/Toow7Z6M7w4ZwJQ4pxngrNM3VumGZuZdbfokVtpmUIg2gLm4gdxrd67FrigwRKUnCRVcrK9Okf1tUpG1jXpbeOTYjwe1GhbVebux5FDgVoe8uoJuXVlabL7Wefld8J+t3PaAk7zevc1B3L2BWgpq1OLPf8ubRXrDky8NKUK7dhsuaasYa4hLw4PHFFzXpzPTa0ZdXkJSe+3TY15q+Mad7TwvrEbWr7h8N/hGAYKOENE39Cy7PMXj5epfpx05YRlouQkqWQ8r0vjeTnetXeUSjuUa6vFDRGkMAvh0UqJFZVpG5ZKjE89UISwa8FORWIbZabem1Zu+hitiNPn5vOa9eX053Fd6Uq1V9lKuaf4enntSBzuOaYWtFePego4sM0xtqp/K4jsXioUv7+t1r4BWKxWg7lAtPNkGqsdaq2VsnPCxAE6dUjGZ3TJphdiuYRETYdcVTfGr8Xk1tMFN1SkdKrSG8tjn+I9msnknGOFu7fva/SikS2WWf1sYAWsPp+Vse7DzYVwTIWuvCeUsDivZ1OSWqrSrQl5X6ILCLF8u2FvnIrmRkT0/MAFDQAAAGQALOAsETl8qn3YmiLVjpfjznEhrRqSPqwL1r1IP6mqmXVC1Fwrh2PfjsiuKwt4cpoSFVEpZ9Zy5hmzaynlUj5kUIcONuHZ7Ovk2Bpr2fXMsZbt9gIueAatrWR2s6kZv5X6nDhXJFsFo9iRS46KjubyfNr95VXCXsszy6JkqGCCvIyFz+UyTUAWpthggdHLQ0FAoeoq1hqzyJqQXpd3jL5GJ+akC/qV9mqqd1SN6IZNnuy8SW6dAwjVkhBnHBi3c793yvBml1JSnq1ekGUvGMpS7uAkbcXyMSZQi61hVS6TLWMVWMZRz3rZSCx39dWNTy1/pWpUJw4iol8PKOAMEa5UVe+4ssmj5hp5k04cN0PnTrwixteseox+r/XfxDiZ5TQC9eb02qlO5mdSQs31pWO9HpxOPZqrrLTy7M7jhp5HSZtzqN+Lz0i/L1UbVkdIiuhlJdjiKpRLmfsRO23tI7PMmnCcc8ityv2x7xpXjXDbcwoU02imUquggMHCwfe5qADH5HPUKauWoKuIjlst2/i9vbibxl25xPJCcy3VVB1mr2aJtV+TeqR6b4s6zzpNR7QaPDgrYcHoK+KRWotV+X/8b7rojqkNn/4biFaDqn577JKlQqK52p2uSS8P1A1iUn8zp+fCl0XsU5HawAAXNAAAAJABsICzQFuLnivyCplujsg7QUZunDWxg/776FNi/H8q76JtM7IYtDXSIfdV6QpLPKuX+8uzVB0FnfQn8qfrJpv96Y5Cc4KtDjkTT1vJypqebzZ7UE5x2trWtaVLBfZRibF9oNpzL3MnpFLOREHrZH9xnC5gwO+dVS0WOT9Tf17KJQ43F1iQICzlvYkLgWgxyHTGunTy8JQYn+zvNYfXugG1m1LW8pz721BuXLZ+zfJQL1vgsEtCC0064NJ8ZpcsJV58XVpqhWs69VYz5lNoseJ67W7PdtMR0cIzpYMl2RLWFjD/1LKJbmZ9wAIGAAAAMgAWcIZY+byp/NQNiKKO/O/48OhTNNmV6UlMOScDsirPyob2jM3djzggSTRdaPYaLMxJD5oblDEv881IX2emerh1ZEvPjtPv52tSuYTJbJUslVfJa0XmkMAzudBOi6sDKWvBsykuqu4r3OlJle+kpvwbimPqDcyswZsnHeugrLm44FFHdQ5yRjr01qK0fMedGk12ZWOG2TBP3Yaq4sZ9T5oq37Ydzl+V6jBV5haNtLcrvQYsUpVUQKVKLRJj7VXTY/3W9KNk7lqwlme7twYsLGTzuVgETgMFnAVaWdUbJgCpM0z0gVOeF+O1TpXep5Tu/5x9K71WGTbtwQqTSmhYeHTSO0crmmhnO5WMP+dmP1TRiqMpZpE+dr73sZvLREdbptweu8J7bQ97CfvcZomjuMVweIjsmvze3dES2fzwEjVpUz0YxQ71Nwh8ilWe8VF/DwAOBysPlbfeLbgUqsZcQ0NNOsGXfTVH7JB2RfIROtPOk91Uk8cm5+krGeBSrLocbCrfd8ncz4fgkNHRHAipAxtZnnTAYxj2FHJKMaejsYSiVcdbrIiVMhau6XS5TGCACxoAAADIAFjAWbq5RsoUqxzYbj6htgrzf4efp22RDMhaG1Sosl+6ufwy0aofqU5DXN5OlWcUAVE6vzB1fpN7pzlE+ck+N3U6OGuea57PupQBWSnX2iHc3cblJYrPp7oeKTeycKnnApNbGKncS6feMTNrbtDgNFSdP96XtrY5iAuAhYCtOeWl4T7VkVoxOa5Qp7Wu7JSSsyxqxPJ+rYZBrwFDOyG7Ex9UZrIvd1a8zuB+nScgS7igVaqSSBVUssbXbelykhFbtLpaVs8yTvgZoy1i3mWnPAh6vxinaw0s0XcdAKCAM8DWSsZzqVPWrliiMV+Wk3ykZVE1luu9P6lPkOWrbiptzyTsCdeWdg/paMPDFdOYExF91MI/3/HpbifzHtsTPFPAQ1xkqisSK2M9eQj8Xt5hvS1bHqp6s2ItTa9FqdaHXMvWKknfYFJv9tacFiOvEhxb9Z/5XlL3U9e3xASZWZ1r0Aj7mJWuaSXyXm52PHKUArZDLmChZJDvbe1uXk735aEmyiKGRK1fizVrHcncK10p9ukiOem+ouJNKTe1fi6lXdagD7igAQAAgJWogG+77TbatGkT5XI5Ovfcc+mJJ56gYx3RX5TdtjpnTlSRSahgd8QWJg7t7IyJ7ZXqKCUNV27sIfYssTnVpox+Znes7gqk3Ep9OYbpijucC8yW6KEioudzUR/2i8jPPOh9+lp0tSwVma2/t8UVuppNsXHzCK4OJHsXd6VbvdUWBeE5z1nkOicJdYdyYhMzbxFVaRE1GmRxviZvuaD3vZeLlQEGF+5O5koZjX1uQJ+Irew1qWiFYmNasSe2duSKgk9iYxHjkqy8JMIuXR39vEzvSyMzZvlJVcBKEkpEA4dYyl1qv976upml0TIqArNSW/oZARZXAd9///30mc98hm6++WZ66qmn6PTTT6eLLrqI9u3bR8c0yr2V5FwKC5bYrG7PTfP95kbRXYW3NYUa5VY1xRZ7HP0sN6o1yCoPiU22NlPKlV3NStEdkcKc+3vNkTws5q4f63PrTSlh3kT7Qv22TkdERoroSI66zOXEJoRaRU8m6nfi92GXnEpTbELg9QPN9835k2bz0N8bgDcC1zh2LIodnvQmYss7HcpZsdhIuaB5CyOHLJ4H88qQuEfVNnfdd5kjlHG6haEe8/foG6cKc6RKVvYp3vmA4u1jUf8af/Znf0ZXXXUVXXHFFXTqqafSHXfcQYVCgb7yla8s5scCAAAAx24QVqfToSeffJJuvPFGs4+Dai688EL6zne+M+972u222DSVSoVWHKkZoD1dpy6HNnNcw1BEHxh+VozPzyX08VffK8atyKVWTQZtOfmE6mukhVco5CmZnDr4vKL35iHCDFNW7byNGY42D/gojtGWqvjenmuaKIh8YD1b5pJ9uqwdu9Z1IwffJaupcoILPtmqAAnnJqZLXZpcaJS7WzRWvIyaDIKeFSdSXW1p4Xl23Ge1xCoPNk4sEack39DrNDTIiPoCNI+Vy65nXVJT/DyUtZvaj0CspbWA9+/fT91ul9asWdO3n1/v2bNn3vds2bKFyuWy2TZs2EArEV6vFGuWpRy5rURszEOzZ4htR1SlXY2y2KLEpqDUFhuj15mEq1atq8xblSrlBp7P7ZNWiEfFfPWi067nuftT73OKBbH1wYpYR0Lr6HBxfGK+H9eBttpyEzWhWTHzJgp6+LJmb8rdDeW7eBwrMgrAUrCsHPJsLc/Ozppt586dWV8SACAFZBSAAXBBr169mhzHob17ex1DGH69dq3qKj+HIAjEtpIRebq6kEQyQt1AuVwji1Z5sqzi3m6Ofn7ND8T4OzMn00td2Q2pW2Ar0+41ztbNr3VZR9UXWAc8iT69S2ENHqos5dzDdG9i0WlGXXMq35JLc1rDsugI2Y4MxBI5zyElnCMs9rN7WrlA+XypSHKT7O/MU4YTLAgrXkbnRgKLsq8sTFJOw9g2sUeMrYKxbCvpVWXkEux6KYUGF9N3W7xIBVZZlvl+h3Utp93wK8AlP1AWsO/7dOaZZ9I3v/lNsy+OY/H6Pe95Dx3TcDMBzyWr1iS/EovNatv0cmNcbJU4R9NRUWyv1EbJshKxuTXWPlKqY07J0ULRjWUkNDdkSLtijzSVaCFIu7znnl8X45gvTUhUxZJRzUIps0uaN46Eznty8z3RjIE3EQWtXdDFYu9ByS55nfIE5QsWAhXJzFHNVsjR+BY1uz61EltsTM4Kxea5XUp44sc1KlT0tNgGbO3TmpsypMfpdCLdmMFMOFLfM52mNB9YHlq6SlicgnTZZZfRWWedReeccw7deuutVK/XRVQ0AAAAcCyzqAr40ksvpcnJSbrppptE4NUZZ5xBDz/88EGBWccSwgqsSxe0NTxMflXXcPaoGknX3tbKaVSJZLlFz+5SLpARwJWhngs6Dlyydc4rByp58r1dduPq2etci/T18n8XYnaa+kxzHfN9nnafszdAu5fZ8lWtBpNCYMpPsiXBpSnFflGKUh5vHaj0ZtqpWth9takBeCPEvXKS3PrT7tim7WBdlZ8cow7luOoGu+bdiFrqacr5+lw+VSDy2nVJRt63/O5LIafp50TKvcxFbgQ6L39uhDhb+fORtoLTecXid7CCl6wW9DXXXCM20LvZLV3LmCODuakCDwOHolgK6kxYoHFfrQf7w9TOy/+mijVMql+DFPDykDxno0lxrWZSfOJUO7Fem8IjXINZCGWc7g2crlOtlS5HO2sFyW5nfW2FfJ/rqjusmjTwc6wqU4+4KAdVe2kwiU5J4nND6YI3iWkXKBoRqBrsnYScppSj/a0CzXTlfXm8KMohFXDeD+lAIN8bc7U6HZvguv3u3OXSF/dQS0/imZGqMZ/q72smEiID4+B0rbmpSr3ex1j/HYgoaAAAAOBYAd2QsnBBK6vNKuTJUl1FcrtcemGdjHb+hU0/oBN8WWRjKizSnrq0dCnoUuw7PddPSzW755KUTRVZrazguQ3AD3NBh3/9BmbU81ndohOTtgTYutCRtKqbkUBdt3ivbZPdUC5o16YkkG4/qx0R6e8a9zq3xFw/er7iIgC8Edhq46BGvv2aXXIb8t6cahRpTySL55zszVDBlt6YIa9NsbKAo8A2bUbZajT35dyArIVc+nkTcpr2lAnrVkdwpzIURLaB/h4sj9r1nP5O6fKUIh9fyX8qN/+IPXHHCFDAWbigVcEJkXajipn7FaLZXVKwX107Snvaw2J8Un4/vVaQ+2fKeeqU5PpnlHPIHZXKy56c7bXlq8mWhoYjEO4+xfVGHgqpylOsaE3rQRZs1QJRvk71B00V3TApRmLtV63vdiJRAUt+2ZgSr7febd6r07nm60kMwJuB7yWutMa3ayMir676/lbztKMjJ8o/Fewm35LLPSNBk+K8vO+6eVvIJ+P5DlnshtZyJqroyDZ+WSqj9LqvGOvlIXYt64lwSumSx9kI6jnhOZSY+JOe0rW5QpZuUyiaUGilK5uxgIOBCxoAAADIAFjAWbigVUEKe6RMlorudTpEdkPOh74/uY4+cfK3xXgyGqLj8rNiPD2cp/2+tIwtrjfbUrPpuDfbFDNWPdvk/GEdjalaAuqxQbcN7F3gQdectmrntZbT+6PQWL18TKy/K5eM1IU1uBylDkRzbFFoQxxfzJno0cTxTCEOh6Oh01NFFWTGec8mYESU5DyS/wEADkPaVaqjoBsh+RUpO90Zn16oyyyOswqqaAyRaFPoFOR9HOVdYQWL8wReLxAx7dIVsqhu2KWqXT4n8KrPBW1cza6x2Nnq1RkKCddvV/vZ+jVR3qJQSap4iX4OsdWbDsKCV2peoICXGtFbU0Va1upSGRFR8bUuhUUpBAeOK9GBSAr3Om+Gvjd7ghhvKM3Q7pHjxDgq2KKdIWPFRROxya6zOGwbATMR0fqz57ue13E7p3sIz6usVR/iuYJt+bnUxCCdDsWzB6vnzlJu52go6FtTskP53mgkT94eVfSf+wWrlCN+UOjrQR9gsKDwhFVPHhttCmblveUfcGhbZZUYbyuvoeO9aTEuOW0K8koBF/IUFlS6YM4jWykxq9025xQykhxlhsICrvsKhatd0Oxy1m5yzkrQrUMDn5Kcmkz7rlkSSkS7UHU+LlJi0o1iM2kxBXaYo234cgwBFzQAAACQAbCAs0BZg0kUkaUCPYLpkIJpaQHXqh5Vu9JF+3RlA/3calkX+h/3vpvstpzBRuziUtZinPPJzquc2VQ0MM820+Mkto+8QEfaLTafqznlgk7nHvcFXfEsOBWAYpWl+5yDqEQpTXGixMys2a2ecC83njSrIBbGrbSEC0wcw/+odngJfyftjtaBXwAs1FKR9rQ0W+TPynEw5dBr+0fE+Mdj68gvqf12RKWcvC+nSgmFRSWnBZccZUVaTY8sdusK+WEZVLWm7TmyuSTRzr3obNlVTMktW786SDTnmewDzr6IvVTur66TzUGk6bEuiMPlcVPeKQRhzQ8U8FLD7lq15mlz5DK7VPk/YqZFuWl5s7szPeVTCwN6R/CqGN8Xn02dVfKmjl2bwrKqllVpEylBkZV3lKBE87QInBsxPLddoSlGn1LefM1KwekHhTiHEipWvqbIBq/Fqv02r/NqxVkoEJUKJh1DX7vTisx6UlhyyW3I6+Ia99oFHed9cvi7MFNVo3RjduGnHi5wb4EFRctIu03erEwdzB3wqb5PKqgfjh9Hw66MxO+STUVfupcnCzGFBSkPUdEhP6dc0BwHwT2vhRs3JCtVsMbwZu/j+dZ554t25omxlk1OCdQKmNukaqWb96gb6MhndjsfvDwkv7yuRidruovjhQu69yyBbM4PXNAAAABABsACXmrETFDNKjkgQ80q7VaHgmlp2TnNgB569VQxftf4LtoWjovx6qAugkCY5iqi/JTKNeT4JBX8wPWlLUfmAsezlTmuqFSE53xWb8oaFpassZJTx5t831xvBh8nfa5pWwWWiVqy2jXuutQdllZvNOSb2XR7daBjUajr2yYv2m30gsecSpOslnIx86xau7zYCteuZ8ywwUKS6qqVtNpkV6SlW9hfpPoe+djcMT5Gozm5fzyokaPki/JdikpSHjolm/yitCj9uk/UVu7oKKJE38fi31Qw4ZHUb3+9yObU73tR2LZxgR8UbKXqqyc5n7oFeQxbv1xWU+x3e+e1wkS0TxVjln3tdublNDVOwrA/QBLMCxRwBugb0+o6ptoO1RrkVqWyGnvOo30lGWn5NMuzKvied0LqTMgbfOgV1yiuzliOcrVWT0FpIWO3b6PR+1zlPra5Vm3aBa0mBOqggx4E6XrOfccad5bVE2wWcv1Q4ER+tb+7epga66RiZqF2W6poga4YxIe3YooD+brj+xQc6PRSOSr1XnUv5bY/okpfALzZutCc7laXchTsb1Fxjyx6016Vo+fzcnLcGPUoVLXcbbdLkZp38lpwVJSPWbfgk92S7muhtFT6Dn+KUW8iEOIQE+VD0Kd05zZC4bVek1bkGjkV67xqrTcu+GKZh+Fr7eZsI5u69rz4XqGaHIvlazV5iGKyOupZEkZmeU1OlDEpfj3gggYAAAAyABZwhnCRCtNxJWiTMyOtPK+Wp8Iu+V9zwBuj5vguMX5uZoKsgrSAO8Mu+bXe/Mnk6BUDsqdUziyXhlM1lxMVOXyQy5jHunZzOrKZy86lXcy6PJ22nLmkpnJh6dxGRsy2VZGNpFyiblEe014VUHtEntttJdQZUi66oiW6zYjjhx0qTMrze9WI3CnZ4UkEqqn62fxZfRHPmGWDxcIESXUpUWVPnQN1KuyRMtUa8aial/n6r8Q2Bb4uwUq9utAFy+T3ewWPrGbPAmb3rfko9dMi9upoKzY++mhn7ZVKRzhr2WV51bKZ96lblNcSlTwRLMaEBYu6gcquSLUatKOkpyzaiVkqEt3JtPyz21lldfR5pyCjhwQKOEs40tiW/wVxtUq2ikRk12vpNV0RyqZ/G9ksxrYbk6UiMK0u14OWAhJMJxTpiOjJmhEy0c9UCYdIeVLrTKw4dSSxEHItxFw5SwsrC48RZvkeuV8XfuU6zyqKkl1Z2s1VKlA0Jl104ZBHrVVy//Rmm/L7yAh5z+cmXdJMbpp7sKoI6k6XYvWAsA/M9Lu29J8PTRfAEiCUiS6gUalSbp+Ur6GhIermpYw0qEDtYa18bNOtr+tLJWxSkpoqIprlz1SQio04cIaAZaKHe0IyX6Eb9cLEkaSbJxi3c5BKK8r7RqY4DoOzDpjOkN1Lm8pxhkXv9Lp0tduwyG3r5grcH1k9S7hKna5kxz8R+XxUwAUNAAAAZAAs4CxIzQxNAQuOOq5Kl6u7Y5KKzoT8vZujrprBhkOJmRSHQ1wjWUUSj6aa3neLpo2fnRRM1CXPtLQVafGsWOUj9iXVp+q3WsVeGUmrr6m4mrONDJvI6/TMur06R80xZRVMWNRYp3KFSxEllmvqXuvv4TZMPQKR+6ujLa0wJns2FUA2n2sLgKUgXfCl0ST7gJTTQtGnKKcKypBD7ZYqP+lxZLB6q8PtCbUF7JDbVMGKHd/UUBYBTdoLxcFZto4eTkf8z7mmeVoGirEpqKF+5nN9Vm+nLPe3yza1h+U5whJ3cJKHx6k6Ohz76armam5Let3EN23HvTr0rbZZ3hLLQ4h8PiqggLMmlYxv3MKdDnm7ZI3Z4ahMiSWjh9sjlomu9KtSQOQ4FrWhGTtye2tLjTZRrKSmWCQrr+u0dnsuZZE60HPlWhy5zHC0pHbxslta12jWBdltm6J1QyZdobJRno8LeLVH5aHNDREltl4H4uIbKvI5tFLeNYsKyjXN9WXzu2omulK3G+SCG9oFOLcJBABLgVEs7TZZaqLs7fOoZJoS+GZCHA6lUnb4bdodHVimwpud98hWxWWEvGqFKtL/1BqwqG8+jyLjY9NuZx3ZzHKaimzW9dXDYfn71qgjniFMe4QoLKuqc6UuUZByF7dVE5SqQ05LfZdYKl6xvxmJ+tjypO1eJgdPjtES9KjAkwwAAADIAFjAy4i4rXJ5ZzgYSRXlCHwqvyh314/PU0e5jbq+RV5DzjLDvE35/brEnWVqtlpDObJMHdoOkXYb8aw6HcihG9xzCUttPaejmX1uP6abdKuykcMB1depWXbOovo6+evmCSFZvrwuN4ioPCSt2Kl9w5R4aga90zduZ3ZHc6CKHmus6WovSGWu2xmza5BhRHSscuvtaZt8tSRToiFywp57l4OZ9LKKdt2K6GiV9x4HrvTyaBd0aonHdDZLuaDlgalloFSUsy5DyzXhu0NSmMKSupZRh1pj8jNbqzgbQcnOaIeGylI2h3JtspRAVlsBVWZVydiGY1zpnLngqueNwy1UlXeKc/KNe56vG7J5VEABL9P0JFtl4NiuS64SwqFWSO0JFWFc5MhF3S83ptaYFLjc/g7Fqn6rU+/0kv0LAVlagFNpQ8SVqrTwswtLFbmgnC9aBTIcYc3R2OJzh+UtE+VsGc2s3FmdUbVW5cf0jk0ybWp3bZgOTMk0jeGxOrVD+d72CQlZs/J6h1+2RPQz48+GMq1BXWP3wMyC/l0BeLMIJaPkh5dGbCVTrPbsSMqm2/CMbMZcpEYXmkt3BnUsI18xF5oxLmi7tyQkIol1gESvpjMXuNHNSTj9MFaVqzidqF2W+1ujPaXbmlDnmGjRunHZW/yk4Sk6Pi/ly7O6NNmRcvr87ARVVUEgu8OTfPnWoBLLmvN8KdUmJc3mQWmBWPc9euCCBgAAADIAFvByxLKFFSyYmTUdVLixd05ZiO5InlQ8lkiK59kvw0Ee/qyaoQceJaoQBuftOZyzx3AAlnbv8kxaRTvzbLqrcnjtdiTcZGK/axsLW8/sObqzuYZMdHbxJDmzHs4rNzoRbSpP04iqlbt972rqtuSM393nU/HVXgkCf0Zel797lojrV8/pdGT+FgAsA4yl1wkpUSUq+U71lOVqNwvkKVcwl3Vka1ccw7FWqS5Cuh66xcs6LFAqENEEQs5xP+uuYWw5s2yL8+ddClVRm3aZ3c3ynK3V8m3ttSGtOk7K1Onju+js4e1ivDnYTUVLytWebpn+H50oxj9K1lK3IeU+N8u5+fIa/OkOOdPKHG40euVgufwkCm68YaCAByBNyabeeout1n68VmjcUPFQICITxTF2bw2Y14GCaeVSjuUakYB/rV1eYZe6I2rNx7XM2hE71XRNWK6CwxGU4jTq17NvSShWUdXrT9lHRU8K88lD+2mUc4u4WH1zjF5ujolxqdSkmYaMmnZa7DaX5yntCsk7oAQ7jCierZq/gU7RAmC5Zi7EShFxSpGtJrUOLyE186a5AffSFWMTMS0nzX2VsLSSJqeXOSB26GYItnFZc9YBK14mLDnULiulO2ZRa1xV4For5XHjuil67/jLYnzB0I/odF+6nUftHE3H8tr3dWPa25a9uvfMDJM/KYU8P8mbnBx7U3WimqrH3mialEas+7454IIGAAAAMgAW8HKHLUFdBo/b76mayBy0oV1Vop+RLoqR80xdaC7raHWkFck1mS1lGbN7Wc/GOU/QaSrXdMzRzmrG7bA1LI/hhH2dfxzJWA1KJtrkcFsUIvrQumdoiiuDsGsrv5te7UirtxYF1FSFQFp1n3K75Liwh1spqprP020Z8cznnK308i0xswYD0bJQjTneMambMpOWKXoTkK3cxcKCVVHTXHIyje4uJF/0ZFAfHwu3s7KAc46wfLVsagu4PUYUjcvPXTshl4TeNfYqnVd6QYzZ+p1wpAC3k5BeiWT2w+O1U+iJvSeIcbSzSMOv9rxTwV71naarlGgLOFVwAzL65oACHiD4pu+qNVK72SK7JNdrqVKTNV9FEY9A1mbmY+JEpBAxLq8dqwLqxKlKgcyTcKtt0zCBUyR0sn1rzKWWStpnt3NnRL61M6YLEjh06obXxLjRDajEfmUi+vfpzTTTltp6x8wodTqqFdvOHJW3yc/PT0aU3yEfEEL5qjVudmuZRgsotgEGzB1tlBErJ90jt9mSled0RTk1aRZjrYQ5w0ArXf5p3NG2WBNWL8yaMddO10tBsc/FPdTH5hKyAymfRb9tWpiGan15d9elvV25nPVCOEGPzcoa84/uOplqL0oBH37JovIr8tpzu+tkTUk55Sp9uuKVWBqC4l0Q8JQDAAAAMgAW8IBhOqFwsFW12utupF1Y9QZZqoAGz6q1NcwFNpIR6X7iAgBOVVqsHJily0Jy+zFtAXPz7cJkbLql6Fqx3bpq1u0kZKvk/dfaZXq5Kt3O3dim3TNl+b7JPPn75ex7aAe7nqV1m3utRlZVBl4llapJ5O+LdsYMGwyoO1q071QBVpbDTerVEpLn9boUOaliGqKwhm5B6BgrWfzUtaAtS3RDE4eHtskp5p+6JK3dtihqyfNP1qSsP+seRzNh3ljDBzrSa7atsope3S1l1t8R0OgOeY6hHR0hn+LcU7OmPj1bvyYoErK5YEABDxhmjVQXzBARlV2yXOWTYgWt14lZEauxqLCj1lrF75Ridip1skfk+q3r2ib1KD+ZmLq1XoOLfsj9Xk1q69nNFv1w+/Fi/EMuWRupB0jTITuUxwzvsESzBWb0uQa5Uyplg9sLquYK/BAy3wWCDVaaMmbZ1Io2iihJN04wLmindwwrYlN1zhFKm+G60aZC1tz60Hq5JiHqRPL4al1Ogn84VaRnPFmmLulaRCrFyD/g0PCkfFtpd0yFPVIGvX1Vohm5zMUpVjrKGzEZiwNc0AAAAEAGwAIeVHg2qma+okWfbiOYak/G7cxEaTvGdYW7l7ELBVNAgGfTloqg5qhqW3VJ4oIcuum2W7dpVE1+Oyoy2uo6FBYc05lJl9vjspSBbOREw690yJ+RM2hnz7QpsRfzdSgXHQddmYhKAFYKKWuxZw1Lb5UYW3ZvOcniYh32/O0F3ZT7uqMDLSNymnLsND3yVItDv2pTOK1aH+bVUpHnyyohwoom8upS7oLZmIIDqgDOVIOs2Vov2Ep5zUSRDUQ7LypQwIPMPEKRVsZcs1a7toyLS1WZ0lheTzELl7WKSHZ47Ue3OcsFZOk6tzUl7DVX1LnttU2Th44+F5Ktqv24XDmHI7R18r6KouQoUawngWNZGXNZLD0Wili1IBRaUk+sbasnt65LlpIfq+kJuWX8WkDejJTJIOeaJSTd9EGcQ69HhzE5qiGLXW+TVZMR0dxYwSjddE9fTIwXHbigAQAAgAyABbzCMbNZYaXGqQAQ++BcRo7WVPst3zP9Aa0wNIU+HBWh6fPPVPEPq6Ksao7i1NHM7Q7FqmuKCEDBzBqA+a1ilVEg3NSpVqHsqjbR1G0r5ZpWxXZqDVOQx3FdI59GvoV1reSNa76r4EcOgjTlJNNWb+o5ARYfKOBjUeCFkCnh04UvjJtaCWIUGveXUMwqMlKnS7Aw60hqTq1IdOEB0bs37ildvdaLKEoAjtJNzbLWm7RqxSzXj1XxGj7GrCVbvZgPHWGdipgWMjiPPELpZgdc0AAAAMBKsYC3b99On/vc5+hb3/oW7dmzh9atW0e/8iu/Qr/3e79HvoqyBRlyiNnuXNewtl45iMNEWaciN0m5l+M5M2i4mAFYeDmdL4BLvEy7rA97utRvYfGuXAX83HPPURzHdOedd9Ipp5xCzzzzDF111VVUr9fplltuWYyPBEtU53beh0BamFHDGYBsFDMYOBZFAV988cVi05x00kn0/PPP0+233w4FDAAAACxlENbs7CyNjcnao4ei3W6LTVOpqMAfkC3zuasO5cKCa2tFAxkFYOFYEn/hiy++SF/+8pfpE5/4xGGP27JlC5XLZbNt2LBhKS4PAHCEQEYByEgB33DDDbIR/GE2Xv9Ns2vXLuGO/shHPiLWgQ/HjTfeKCxlve3cufONfSsAwKIAGQUgIxf0ddddR5dffvlhj+H1Xs3u3bvpggsuoPe+9730l3/5l697/iAIxAYAWJ5ARgHISAGPj4+L7Uhgy5eV75lnnkl33XUX2TpBHAAAAACLE4TFyvf888+njRs3iqjnyUnVeJKI1q5duxgfCQAAAAwUi6KAt27dKgKveFu/fn3f75K5zaQBAACAY5BF8QvzOjEr2vk2AAAAAKAWNAAAAJAJUMAAAABABkABAwAAABkABQwAAABkABQwAAAAkAFQwAAAAEAGQAEDAAAAGQAFDAAAAGQAFDAAAACQAVDAAAAAQAZAAQMAAAAZAAUMAAAAZAAUMAAAAJABUMAAAABABkABAwAAABkABQwAAABkABQwAAAAkAFQwAAAAEAGQAEDAAAAGQAFDAAAAGQAFDAAAACQAVDAAAAAQAZAAQMAAAAZAAUMAAAAZAAUMAAAAJABUMAAAABABkABAwAAABkABQwAAABkABQwAAAAkAFQwAAAAEAGQAEDAAAAGQAFDAAAAGQAFDAAAACQAVDAAAAAQAZAAQMAAAAZAAUMAAAAZAAUMAAAALASFXC73aYzzjiDLMui733ve4v9cQAAAMBAsOgK+LOf/SytW7dusT8GAAAAGCgWVQH/y7/8C33jG9+gW265ZTE/BgAAABg43MU68d69e+mqq66iBx54gAqFwhG7q3nTzM7Oip8RhUTJYl0pAMsbcf8TUZJkLwSQUQAWUD6TRSCO4+Tiiy9OPve5z4nXL7/8Ml9Z8vTTTx/2fTfffLM4Dhs2bAdv27ZtS7IGMooNGy2YfFr8z5Eq6xtuuIH+5E/+5LDH/PjHPxZu57/7u7+jRx99lBzHoe3bt9OJJ55ITz/9tAjIOtLZ9czMDG3cuJF27NhB5XKZBpFKpUIbNmygnTt30vDwMA0auP7sYSvzhBNOoOnpaRoZGcn0WlaajA76/THo178SvsObkc+jckFfd911dPnllx/2mJNOOom+9a1v0Xe+8x0KgqDvd2eddRZ97GMfo69+9avzvpePn/sehgV7EP9j0vD1D/J3wPVnj21nnzW4UmV00O+PQb/+lfAd3oh8HpUCHh8fF9vr8ed//uf0+c9/3rzevXs3XXTRRXT//ffTueeee9QXCQAAAKw0FiUIi83xNKVSSfw8+eSTaf369YvxkQAAAMBAkb1P6zCwq+vmm2+e1+U1KAz6d8D1Z89y/g7L+dqOBFx/9gQD/h3ezPUfVRAWAAAAAI4BCxgAAABYqUABAwAAABkABQwAAABkABQwAAAAkAFQwAAAAEAGDJwCHtT+wlyO88orrxQlOfP5vMiJ5tD1TqdDy5XbbruNNm3aRLlcThRQeeKJJ2hQ2LJlC5199tk0NDREExMTdMkll9Dzzz9Pg8oXvvAFcc9fe+21tNwZRBkdRPlkIKODLaMDp4AHtb/wc889R3Ec05133knPPvssfelLX6I77riDfvd3f5eWI1y17DOf+Yx4CD311FN0+umni2pm+/bto0GA65BfffXV9Pjjj9PWrVspDEP64Ac/SPV6nQaN7373u+K+eec730mDwCDK6KDJJwMZXQEymgwQDz30ULJ58+bk2WefPaLuSsudL37xi8mJJ56YLEfOOeec5Oqrrzavu91usm7dumTLli3JILJv3z5xzzz66KPJIFGtVpO3vOUtydatW5P3v//9yac//elkObOSZHQ5yycDGR18GR0YC1j3F/6bv/mbI+4vPAhdNMbGxmi5wW63J598ki688MK+QuP8mptsDCK6b+1y/HsfDrYQPvShD/X9XyxXVpqMLlf5ZCCjK0NGF6UW9ELDxbq4C9MnP/lJ0VGJ12sGnRdffJG+/OUv0y233ELLjf3791O326U1a9b07efX7KobNNi1yOsy5513Hp122mk0KNx3333CtcjureXOSpPR5SyfDGR0ZchophYw9xfmRevDbXwzsSBUq1W68cYbablxpN8hza5du+jiiy+mj3zkI8JiAIs/Q33mmWeEsAwK3Bv105/+NN1zzz0iwCYrBl1GIZ+DwdXHqIxmWgt6cnKSpqamXre/8Ec/+lH653/+ZyEsGp79OY5z2P7Cy+k7+L5vWjOef/759NM//dN09913L4ser/O5t9iF+Pd///ciMlFz2WWXiQbsDz74IA0K11xzjbjexx57TES4DgoPPPAA/cIv/IK4x9P3PMsA3zMcaZz+3WIx6DK6EuWTgYyuDBkdiGYMO3bsoEqlclB/Yb75OPR+UFoc8sz6ggsuoDPPPJP+9m//dkkeoG8U/ruec845wrLRLiJuM8nCwlbFcodv60996lP0ta99jR555BF6y1veQoMEW5OvvPJK374rrriCNm/eTNdff/2yc9OtBBkdJPlkIKODL6MDsQa8EvoLs3DzzHrjxo1iXYln5pq1a9fScoPTG3g2zet5LOS33nqrSA/gG2xQXFr33nuvmFlznuGePXvE/nK5LPI8lzt8zXMFuFgs0qpVq5ad8l0JMjpo8slARgdfRgdCAa8EOM+NAzt4m/tAWo5OiEsvvVQ8hG666SYhGFxY4eGHHz4o6GO5cvvtt4uf/FBNc9ddd4lgIQAGWT4ZyOjgMxAuaAAAAGClsTwjDAAAAIAVDhQwAAAAkAFQwAAAAEAGQAEDAAAAGQAFDAAAAGQAFDAAAACQAVDAAAAAQAZAAQMAAAAZAAUMAAAAZAAUMAAAAJABUMAAAAAALT3/H1LZpW4kfoKuAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "with torch.no_grad():\n", + " grid_shape = (128, 128)\n", + " grid_edges = [torch.linspace(-4.0, 4.0, n + 1) for n in grid_shape]\n", + " grid_coords = [0.5 * (e[:-1] + e[1:]) for e in grid_edges]\n", + " grid_points = torch.stack(\n", + " [c.ravel() for c in torch.meshgrid(*grid_coords, indexing=\"ij\")], axis=-1\n", + " )\n", + " grid_values = torch.exp(prior.log_prob(grid_points)).reshape(grid_shape)\n", + "\n", + " x = dist.sample(256_000)\n", + "\n", + " fig, axs = plt.subplots(ncols=2, sharex=True, sharey=True, figsize=(5.5, 2.5))\n", + " axs[0].hist2d(x[:, 0], x[:, 1], bins=grid_edges)\n", + " axs[1].pcolormesh(grid_coords[0], grid_coords[1], grid_values.T)\n", + " axs[0].set_title(\"Model\", fontsize=\"medium\")\n", + " axs[1].set_title(\"Prior\", fontsize=\"medium\")\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0505e011", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "gpsr", + "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": 5 +} From 5be340b778409f0036943ed0fb8e3a716c3e7102 Mon Sep 17 00:00:00 2001 From: Austin Hoover Date: Thu, 30 Apr 2026 12:15:39 -0400 Subject: [PATCH 25/27] Shorten comment --- gpsr/beams.py | 47 ++++++++++++++++++++++++++--------------------- 1 file changed, 26 insertions(+), 21 deletions(-) diff --git a/gpsr/beams.py b/gpsr/beams.py index 3be7c8d..41b64ed 100644 --- a/gpsr/beams.py +++ b/gpsr/beams.py @@ -40,13 +40,15 @@ def __init__( """ super(NNTransform, self).__init__() - layer_sequence = [torch.nn.Linear(phase_space_dim, width), activation] - + layer_sequence = [] + layer_sequence.append(torch.nn.Linear(phase_space_dim, width)) + layer_sequence.append(activation) for i in range(n_hidden): layer_sequence.append(torch.nn.Linear(width, width)) layer_sequence.append(torch.nn.Dropout(dropout)) + layer_sequence.append(torch.nn.LayerNorm(width)) layer_sequence.append(activation) - + layer_sequence[-1] = torch.nn.Tanh() layer_sequence.append(torch.nn.Linear(width, phase_space_dim)) self.stack = torch.nn.Sequential(*layer_sequence) @@ -179,16 +181,8 @@ def entropy(self, n: int, prior: Any = None) -> torch.Tensor: `prior.log_prob(x: torch.Tensor) -> torch.Tensor`. Returns: - Entropy estimate. If `prior` is None, return the absolute entropy: - - H[p(x)] = -\int p(x) \log(p(x)) dx. \in [-\infty, 0], - - which is maximum at p(x) = uniform (H = 0). Otherwise, return the relative - entropy (KL divergence): - - H[p(x), q(x)] = -\int p(x) \log(p(x)) dx \in [0, \infty], - - which is maximum at p(x) = q(x). + Entropy estimate. If `prior` is None, return the absolute entropy. + Otherwise return relative entropy. """ x, log_p = self.sample_and_log_prob(n) @@ -202,11 +196,22 @@ def entropy(self, n: int, prior: Any = None) -> torch.Tensor: class NNDist(GenModel): """Generative model using non-invertible NN transform.""" - def __init__(self, width: int = 20, depth: int = 2, **kwargs) -> None: + def __init__( + self, width: int = 20, depth: int = 2, activation: Module = None, **kwargs + ) -> None: super().__init__(**kwargs) + + if activation is None: + activation = torch.nn.Tanh() + self.transform = NNTransform( - n_hidden=depth, width=width, phase_space_dim=self.ndim, output_scale=1.0 + n_hidden=depth, + width=width, + phase_space_dim=self.ndim, + activation=activation, + output_scale=1.0, ) + self.base_dist = torch.distributions.MultivariateNormal( loc=torch.zeros(self.ndim), covariance_matrix=torch.eye(self.ndim), @@ -257,25 +262,25 @@ def __init__( ) -> None: super().__init__(**kwargs) - self._flow = zuko.flows.NSF( + self.flow = zuko.flows.NSF( features=self.ndim, transforms=layers, hidden_features=(depth * [width]), ) # Reverse for faster sampling - self._flow = zuko.flows.Flow(self._flow.transform.inv, self._flow.base) + self.flow = zuko.flows.Flow(self.flow.transform.inv, self.flow.base) def _sample(self, n: int) -> torch.Tensor: - return self._flow().rsample((n,)) + return self.flow().rsample((n,)) def _log_prob(self, z: torch.Tensor) -> torch.Tensor: - return self._flow().log_prob(z) + return self.flow().log_prob(z) def _sample_and_log_prob(self, n: int) -> tuple[torch.Tensor, torch.Tensor]: - return self._flow().rsample_and_log_prob((n,)) + return self.flow().rsample_and_log_prob((n,)) def sample_base(self, n: int) -> torch.Tensor: - return self._flow.base().sample((n,)) + return self.flow.base().sample((n,)) def to(self, device): self.flow = self.flow.to(device) From 7ca1261b80e05c532b438917bdfd545821bc5d48 Mon Sep 17 00:00:00 2001 From: Austin Hoover Date: Thu, 30 Apr 2026 12:15:49 -0400 Subject: [PATCH 26/27] Add test of log_prob calculation using NSF --- gpsr/tests/test_beams.py | 12 ++++++++++++ 1 file changed, 12 insertions(+) diff --git a/gpsr/tests/test_beams.py b/gpsr/tests/test_beams.py index 9e0af2d..0596203 100644 --- a/gpsr/tests/test_beams.py +++ b/gpsr/tests/test_beams.py @@ -4,6 +4,7 @@ from cheetah.particles import ParticleBeam from gpsr.beams import NNTransform, NNParticleBeamGenerator from gpsr.beams import compute_batched_jacobian +from gpsr.beams import NSFDist class TestBeams: @@ -66,6 +67,17 @@ def test_nn_transform_jacobian(self, dim): jacobian_exp = torch.func.jacrev(transformer)(x[i, :]) assert torch.all(torch.isclose(jacobian, jacobian_exp)) + @pytest.mark.parametrize("dim", [2, 4, 6]) + def test_nsf_jacobian(self, dim): + dist = NSFDist(ndim=dim) + flow = dist.flow() + z = flow.base.sample((10,)) + x = flow.transform.inv(z) + jac = compute_batched_jacobian(z, flow.transform.inv) + ladj = torch.log(torch.abs(torch.linalg.det(jac))) + log_p = flow.base.log_prob(z) - ladj + assert torch.all(torch.isclose(log_p, flow.log_prob(x))) + @pytest.mark.parametrize("dim", [2, 4, 6]) def test_nn_particle_beam_generator_initialization(self, dim): # Test NNParticleBeamGenerator initialization From 892e2458219d3cf05e16520847f836363cadfacd Mon Sep 17 00:00:00 2001 From: Austin Hoover Date: Thu, 30 Apr 2026 12:18:47 -0400 Subject: [PATCH 27/27] Update kl examples --- docs/examples/kl/kl_nn_gauss.ipynb | 174 ++++++++++----------------- docs/examples/kl/kl_nn_rings.ipynb | 108 +++++++---------- docs/examples/kl/kl_nsf_gauss.ipynb | 180 +++++++--------------------- docs/examples/kl/kl_nsf_rings.ipynb | 105 +++++----------- 4 files changed, 179 insertions(+), 388 deletions(-) diff --git a/docs/examples/kl/kl_nn_gauss.ipynb b/docs/examples/kl/kl_nn_gauss.ipynb index 9a5102d..1e2a9af 100644 --- a/docs/examples/kl/kl_nn_gauss.ipynb +++ b/docs/examples/kl/kl_nn_gauss.ipynb @@ -10,51 +10,46 @@ }, { "cell_type": "code", - "execution_count": 1, "id": "8f899f1d", "metadata": {}, - "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import torch\n", "\n", "from gpsr.beams import NNDist" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "code", - "execution_count": 2, "id": "ed6f9f69", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0 tensor(6.1114, grad_fn=)\n", - "50 tensor(0.0451, grad_fn=)\n", - "100 tensor(0.0071, grad_fn=)\n", - "150 tensor(0.0052, grad_fn=)\n", - "200 tensor(0.0032, grad_fn=)\n" - ] - } - ], "source": [ "ndim = 2\n", "nsamp = 10_000\n", "\n", - "dist = NNDist(width=32, depth=2, ndim=ndim)\n", - "prior = torch.distributions.MultivariateNormal(\n", + "model_dist = NNDist(width=32, depth=2, ndim=ndim)\n", + "targ_dist = torch.distributions.MultivariateNormal(\n", " torch.zeros(ndim),\n", " torch.eye(ndim),\n", ")\n", - "optimizer = torch.optim.Adam(dist.parameters(), lr=0.01)\n", + "optimizer = torch.optim.Adam(model_dist.parameters(), lr=0.005)\n", + "\n", + "# Warmup\n", + "for i in range(300):\n", + " x = model_dist.sample(nsamp)\n", + " cov_matrix = torch.cov(x.T)\n", + " loss = torch.mean(torch.abs(cov_matrix - torch.eye(ndim)))\n", + " loss.backward()\n", + " optimizer.step()\n", + " optimizer.zero_grad()\n", "\n", "history = {\"loss\": []}\n", "\n", "for iteration in range(201):\n", - " loss = -dist.entropy(nsamp, prior=prior)\n", + " loss = -model_dist.entropy(nsamp, prior=targ_dist)\n", " loss.backward()\n", " optimizer.step()\n", " optimizer.zero_grad()\n", @@ -63,60 +58,38 @@ "\n", " if iteration % 50 == 0:\n", " print(iteration, loss)" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "code", - "execution_count": 3, "id": "664c404d", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], "source": [ "fig, ax = plt.subplots(figsize=(3.0, 2.0))\n", "ax.plot(history[\"loss\"])\n", "ax.set_xlabel(\"Iteration\")\n", "ax.set_ylabel(\"Loss\")\n", "plt.show()" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "code", - "execution_count": 4, "id": "2203c1b5", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], "source": [ "with torch.no_grad():\n", " # Sample and evaluate density at each point\n", - " x, log_p = dist.sample_and_log_prob(100_000)\n", + " x, log_p = model_dist.sample_and_log_prob(100_000)\n", "\n", " x = x.numpy()\n", " log_p = log_p.numpy()\n", "\n", - " x_prior = prior.rsample((x.shape[0],))\n", - " x_prior = x_prior.numpy()\n", + " x_targ = targ_dist.rsample((x.shape[0],))\n", + " x_targ = x_targ.numpy()\n", "\n", " # Sort by density\n", " idx = np.argsort(log_p)\n", @@ -134,14 +107,14 @@ " )\n", " axs[0].hist2d(x[:, 0], x[:, 1], bins=64, range=plot_limits, density=True)\n", " axs[1].scatter(x[:, 0], x[:, 1], c=np.exp(log_p), s=1)\n", - " axs[2].hist2d(\n", - " x_prior[:, 0], x_prior[:, 1], bins=64, range=plot_limits, density=True\n", - " )\n", + " axs[2].hist2d(x_targ[:, 0], x_targ[:, 1], bins=64, range=plot_limits, density=True)\n", " axs[0].set_title(\"Model samples\", fontsize=\"medium\")\n", " axs[1].set_title(\"Model density\", fontsize=\"medium\")\n", - " axs[2].set_title(\"Prior samples\", fontsize=\"medium\")\n", + " axs[2].set_title(\"Target samples\", fontsize=\"medium\")\n", " plt.show()" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -153,37 +126,32 @@ }, { "cell_type": "code", - "execution_count": 5, "id": "c7d87086", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0 tensor(16.4465, grad_fn=)\n", - "50 tensor(0.4091, grad_fn=)\n", - "100 tensor(0.0998, grad_fn=)\n", - "150 tensor(0.0343, grad_fn=)\n", - "200 tensor(0.0210, grad_fn=)\n" - ] - } - ], "source": [ "ndim = 6\n", "nsamp = 10_000\n", "\n", - "dist = NNDist(width=32, depth=2, ndim=ndim)\n", - "prior = torch.distributions.MultivariateNormal(\n", + "model_dist = NNDist(width=32, depth=2, ndim=ndim)\n", + "targ_dist = torch.distributions.MultivariateNormal(\n", " torch.zeros(ndim),\n", " torch.eye(ndim),\n", ")\n", - "optimizer = torch.optim.Adam(dist.parameters(), lr=0.01)\n", + "optimizer = torch.optim.Adam(model_dist.parameters(), lr=0.001)\n", + "\n", + "# Warmup\n", + "for i in range(500):\n", + " x = model_dist.sample(nsamp)\n", + " cov_matrix = torch.cov(x.T)\n", + " loss = torch.mean(torch.abs(cov_matrix - torch.eye(ndim)))\n", + " loss.backward()\n", + " optimizer.step()\n", + " optimizer.zero_grad()\n", "\n", "history = {\"loss\": []}\n", - "for iteration in range(201):\n", - " loss = -dist.entropy(nsamp, prior=prior)\n", "\n", + "for iteration in range(501):\n", + " loss = -model_dist.entropy(nsamp, prior=targ_dist)\n", " loss.backward()\n", " optimizer.step()\n", " optimizer.zero_grad()\n", @@ -192,32 +160,23 @@ "\n", " if iteration % 50 == 0:\n", " print(iteration, loss)" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "code", - "execution_count": 6, "id": "edd26498", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], "source": [ "fig, ax = plt.subplots(figsize=(3.0, 2.0))\n", "ax.plot(history[\"loss\"])\n", "ax.set_xlabel(\"Iteration\")\n", "ax.set_ylabel(\"Loss\")\n", "plt.show()" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -229,48 +188,35 @@ }, { "cell_type": "code", - "execution_count": 7, "id": "cf1efa6e", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], "source": [ "with torch.no_grad():\n", " # Sample particles.\n", - " x_model = dist.sample(100_000)\n", - " x_prior = prior.rsample((x_model.shape[0],))\n", + " x_model = model_dist.sample(100_000)\n", + " x_targ = targ_dist.rsample((x_model.shape[0],))\n", "\n", " # Plot histogram and scatter plot with points colored by density.\n", " plot_xmax = 4.0\n", " plot_limits = 2 * [(-plot_xmax, plot_xmax)]\n", "\n", " fig, axs = plt.subplots(ncols=2, sharex=True, sharey=True, figsize=(5.5, 2.5))\n", - " for ax, x in zip(axs, [x_model, x_prior]):\n", - " ax.hist2d(\n", - " x_model[:, 0], x_model[:, 1], bins=64, range=plot_limits, density=True\n", - " )\n", + " for ax, x in zip(axs, [x_model, x_targ]):\n", + " ax.hist2d(x[:, 0], x[:, 1], bins=64, range=plot_limits, density=True)\n", " axs[0].set_title(\"Model\", fontsize=\"medium\")\n", - " axs[1].set_title(\"Prior\", fontsize=\"medium\")\n", + " axs[1].set_title(\"Target\", fontsize=\"medium\")\n", " plt.show()" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "code", - "execution_count": null, "id": "5bad2980", "metadata": {}, + "source": [], "outputs": [], - "source": [] + "execution_count": null } ], "metadata": { diff --git a/docs/examples/kl/kl_nn_rings.ipynb b/docs/examples/kl/kl_nn_rings.ipynb index 4b081cf..c2650c3 100644 --- a/docs/examples/kl/kl_nn_rings.ipynb +++ b/docs/examples/kl/kl_nn_rings.ipynb @@ -10,68 +10,64 @@ }, { "cell_type": "code", - "execution_count": 1, "id": "8f899f1d", "metadata": {}, - "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import torch\n", "\n", "from gpsr.beams import NNDist" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "code", - "execution_count": 2, "id": "5dea9acd", "metadata": {}, - "outputs": [], "source": [ - "class Prior:\n", + "class TargetDist:\n", " def log_prob(self, x: torch.Tensor) -> torch.Tensor:\n", " x1 = x[:, 0]\n", " x2 = x[:, 1]\n", " return torch.sin(torch.pi * x1) - 2 * (x1**2 + x2**2 - 2.0) ** 2" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "code", - "execution_count": 3, "id": "ed6f9f69", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0 tensor(11.8429, grad_fn=)\n", - "50 tensor(-1.1181, grad_fn=)\n", - "100 tensor(-1.4467, grad_fn=)\n", - "150 tensor(-1.5458, grad_fn=)\n", - "200 tensor(-1.5722, grad_fn=)\n", - "250 tensor(-1.5858, grad_fn=)\n", - "300 tensor(-1.5914, grad_fn=)\n", - "350 tensor(-1.5961, grad_fn=)\n", - "400 tensor(-1.6013, grad_fn=)\n", - "450 tensor(-1.6040, grad_fn=)\n", - "500 tensor(-1.6058, grad_fn=)\n" - ] - } - ], "source": [ "ndim = 2\n", "nsamp = 10_000\n", "\n", - "prior = Prior()\n", + "targ_dist = TargetDist()\n", + "\n", + "activation = torch.nn.Tanh()\n", + "# activation = torch.nn.SiLU()\n", + "# activation = torch.nn.GELU()\n", + "# activation = torch.nn.LeakyReLU(0.1)\n", + "# activation = torch.nn.ELU()\n", + "# activation = torch.nn.GLU()\n", "\n", - "dist = NNDist(width=32, depth=2, ndim=ndim)\n", - "optimizer = torch.optim.Adam(dist.parameters(), lr=0.01)\n", + "model_dist = NNDist(width=20, depth=2, ndim=ndim, activation=activation)\n", + "optimizer = torch.optim.Adam(model_dist.parameters(), lr=0.001)\n", + "\n", + "# Warmup\n", + "for i in range(300):\n", + " x = model_dist.sample(nsamp)\n", + " cov_matrix = torch.cov(x.T)\n", + " loss = torch.mean(torch.abs(cov_matrix - torch.eye(ndim)))\n", + " loss.backward()\n", + " optimizer.step()\n", + " optimizer.zero_grad()\n", "\n", "history = {\"loss\": []}\n", "\n", - "for iteration in range(501):\n", - " loss = -dist.entropy(nsamp, prior=prior)\n", + "for iteration in range(201):\n", + " loss = -model_dist.entropy(nsamp, prior=targ_dist)\n", " loss.backward()\n", " optimizer.step()\n", " optimizer.zero_grad()\n", @@ -80,50 +76,28 @@ "\n", " if iteration % 50 == 0:\n", " print(iteration, loss)" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "code", - "execution_count": 4, "id": "664c404d", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], "source": [ "fig, ax = plt.subplots(figsize=(3.0, 2.0))\n", "ax.plot(history[\"loss\"])\n", "ax.set_xlabel(\"Iteration\")\n", "ax.set_ylabel(\"Loss\")\n", "plt.show()" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "code", - "execution_count": 5, "id": "c96ede97", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], "source": [ "with torch.no_grad():\n", " grid_shape = (128, 128)\n", @@ -132,25 +106,27 @@ " grid_points = torch.stack(\n", " [c.ravel() for c in torch.meshgrid(*grid_coords, indexing=\"ij\")], axis=-1\n", " )\n", - " grid_values = torch.exp(prior.log_prob(grid_points)).reshape(grid_shape)\n", + " grid_values = torch.exp(targ_dist.log_prob(grid_points)).reshape(grid_shape)\n", "\n", - " x = dist.sample(256_000)\n", + " x = model_dist.sample(256_000)\n", "\n", " fig, axs = plt.subplots(ncols=2, sharex=True, sharey=True, figsize=(5.5, 2.5))\n", " axs[0].hist2d(x[:, 0], x[:, 1], bins=grid_edges)\n", " axs[1].pcolormesh(grid_coords[0], grid_coords[1], grid_values.T)\n", " axs[0].set_title(\"Model\", fontsize=\"medium\")\n", - " axs[1].set_title(\"Prior\", fontsize=\"medium\")\n", + " axs[1].set_title(\"Target\", fontsize=\"medium\")\n", " plt.show()" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "code", - "execution_count": null, "id": "5bad2980", "metadata": {}, + "source": [], "outputs": [], - "source": [] + "execution_count": null } ], "metadata": { diff --git a/docs/examples/kl/kl_nsf_gauss.ipynb b/docs/examples/kl/kl_nsf_gauss.ipynb index 926987b..891fb25 100644 --- a/docs/examples/kl/kl_nsf_gauss.ipynb +++ b/docs/examples/kl/kl_nsf_gauss.ipynb @@ -10,50 +10,36 @@ }, { "cell_type": "code", - "execution_count": 1, "id": "8f899f1d", "metadata": {}, - "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import torch\n", "\n", "from gpsr.beams import NSFDist" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "code", - "execution_count": 2, "id": "ed6f9f69", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0 tensor(0.1312, grad_fn=)\n", - "10 tensor(0.0286, grad_fn=)\n", - "20 tensor(0.0071, grad_fn=)\n", - "30 tensor(0.0015, grad_fn=)\n", - "40 tensor(0.0019, grad_fn=)\n" - ] - } - ], "source": [ "ndim = 2\n", "nsamp = 10_000\n", "\n", - "dist = NSFDist(width=64, depth=3, layers=3, ndim=ndim)\n", - "prior = torch.distributions.MultivariateNormal(\n", + "model_dist = NSFDist(width=64, depth=3, layers=3, ndim=ndim)\n", + "targ_dist = torch.distributions.MultivariateNormal(\n", " torch.zeros(ndim),\n", " torch.eye(ndim),\n", ")\n", - "optimizer = torch.optim.Adam(dist.parameters(), lr=0.01)\n", + "optimizer = torch.optim.Adam(model_dist.parameters(), lr=0.01)\n", "\n", "history = {\"loss\": []}\n", "\n", "for iteration in range(50):\n", - " loss = -dist.entropy(nsamp, prior=prior)\n", + " loss = -model_dist.entropy(nsamp, prior=targ_dist)\n", " loss.backward()\n", " optimizer.step()\n", " optimizer.zero_grad()\n", @@ -62,54 +48,32 @@ "\n", " if iteration % 10 == 0:\n", " print(iteration, loss)" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "code", - "execution_count": 3, "id": "664c404d", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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EnJeydiMsLwACDcTLD9quoL84L7XbCMsLgIAD8fKD0hW0WIgibP4c9ghSBSCkF51t31ODrGRhBfNBR7un+U7/XOn3fc6XVNHxC2XUrZOdunayU1xUuN/3AwDoB+LV5NQg3/4u5oZB3enNfafow8NnaOmvB1FMZHgD6232mn2UX1ylHgu3Wahv5yh6dvZQmjCgaxt+AgCCG3Qbm0oB7SfGi5k4oAsN7N6JyqudtDX7dIPz/5uVK8LFvjG2uJgap5tOXCinf99wkPafKGzDTwBAcAPx8kOHCBtNHdydJjZiHXH3b97EK2R7w/4fyelye1luaz85Kdv/dcsQOrxsGuX898207+kbxGJjcXwgPZu+OHkxAJ8GgOAD4uWHf+nWiV6fey29eNeIRq+7bWRviu0QTrmXKmjvsfPqcbbECkqqqFdsJN05uo/q4O8d14FevW8UTfrXblRZ46T56Qcp+8dLbf55AAg2IF6/kKiIMLr72kTZXr//lLxW17rotYwTsv0fk65sECfGfrR194+m6wZ0pYpqJ81bf5AO5f5sQO0BMC8Qr1bg/vH9iJOq7jt+kXIKSun9r07TmaJK6hZtp7uT+vq8hwXsf5LH0Pgru1CZo5bmrz9Ix8+XBrzuAJgViFcr0Cc+iqZf3VO238g8SWv2Xra6GhutZL/aG/PG0Mi+cVRcWUPJb2RRfrH/sAsAwGUgXq3EvAkex/2W7NPi/+rcMYLuHevb6qrf7Xxj7rV0ZbeOdLa4iua9eZCKK2oCUGMAzA3Eq5VI6t+ZhvSKUfcf/FV/ESY9sNBtmJ9E3aPtlHOulB7amN3oZG8e1WRLDetFglDG4g6xb0BJSQnFxsZScXExxcRcFpvWYEt2Hj31zjcS05X5nzdQp7oIfL0cPVtCc9YeoFJHLQ3qGS0+MxaqWpdbBgGKKqrp54oaKqli4SIRO3b6T6wrPWMjW/XzANCev6PtwvJas2YNXXHFFRQZGUljx46lrKysRq/funUrDRo0SK6/5ppr6KOPPqL2wB2j+tDSGYMo7d9GN1u4mCEJMbQueYzMpTxWUEqf/V8h7T9xkbJOXaLDeUX048WKOovLc/35Uge999UZemLr1zQuZTfNXP0ZbTzwo1zTXNjSO36+jL47U0wV1bXNvh+AkLO8Nm/eTMnJyZSWlibClZqaKuKUk5ND3bt3b3D9/v37adKkSZSSkkK33HIL/e1vf6MVK1bQoUOHaOjQoYZaXq3FyQtl9OVPP1OYzUJWi4XCrFaZVhQXFUHxUeHyys7+b/KKKPN4Ie07XkjfnClWRY0j+mdek0AzhvakihonFZY6qLDMQZfKq2USeY3TRbVOtuhcVFhWLXMz+bwCT73kKUxX9YgWC7B3fAfqERMpll3PmEiJa9M7P5P/vNiS5LrxbIXG5ooC0JzvqOHixYJ17bXX0iuvvCL7LpeLEhMT6be//S09/fTTDa6fM2cOlZeX0z/+8Q/12Lhx42jEiBEigMEgXi2BhemDw2dkStIP58pa9B4dI2ySl5/fqzE4LIQnpUfbw6hTZBh1CLeR1eoRWpvFQm7y+OQulddIV5e7vVrYshQhC7d6tsNtst+p7v3ktc5y5bxqPKWq1ukS4eWZCzxpXhHhqAib1KVjRBhF2T3vw2LPws8LA/OfN98v71PrIqfbLXF3fB2PBPNrhNxjoTAb18ci6s33cZedq87P5hkRnJyystopdVDqxJ+Nfwj4Pbju0ib2MPlsfK+8R9378DVKsdusUicOkymrqpVXfl9uQ2nHuvbsEGGV9uW68g8WH3O5Pe+n1NFTT36lutfLx7jw/wm3BX8+/hFkFHcE153/8TO4Lfk57Kvl3xdWBr6f//ecLm4/N9XIq+dzcx2Veso2112O8d+I93O4Dbjtpw7uIT+ErfEdNXRidnV1NX355Ze0dOlS9ZjVaqWpU6fSgQMHfN7Dx5csWeJ1bPr06bRt2zaf1zscDinahglG2Ok/f2J/GfU8lFtEb2fl0jeni8X/xtksunaKoC6d7GKVqX/IVrbmwiXUo098B9WiYiuM49W468qxZ2eLquhciaewz42/OKVVtVKouPl15S8tl9LL/y0gRLiya6cmxUsvhopXYWEhOZ1O6tGjh9dx3j927JjPewoKCnxez8d9wd3LP/3pTxQqsPiM7hcvpaWI2A2w+5zXyb6xksoa6QqyxVDuqJVZAlprgH+pWQjjuZvb0fPKP8Q86MAWk/erU17Zsilz1IggKtYI38NCK4UtFptFtZbYeuJfe342++h4cjzXha2CGrEoPNYB//5ffg+PlaA8l58pVpRiUTjdcj9jrbMePN12C0WyVRLG1o/n2Z739FgcfL7a6a6zoGqozMHWodNjhYg1Iv8zXtYj10GsNXs4dbLbxGrj91XakS0Vrj+3Nxf+nDydjK0htnxtdRYPt5GX1aOxfnib/x74PeWzibvAJf8/Yp3ydXWWWJW0o1PcDLzN/4t8L5/lZyiuC+X/gt+bLSmXl5VXZ2nWWX+euvG1dXW0WuTvobUI+pQ4bNVpLTW2vLhbCloGiweXht7IpuEvZ3Qb1AmEJoaKV9euXclms9G5c+e8jvN+z56eiPX68PHmXG+326UAAIILQ0MlIiIiaPTo0bR79271GDvseX/8+PE+7+Hj2uuZnTt3+r0eABCcGN5t5C7d3LlzacyYMZSUlCShEjyaOH/+fDnPYRS9e/cW3xXz6KOP0uTJk2nlypU0c+ZMevvttyk7O5vWrVtn8CcBAISUeHHow4ULF2jZsmXidOeQh+3bt6tO+dzcXBmBVJgwYYLEdv3xj3+k3//+9zRw4EAZadQT4wUACB4Mj/MKNBw7EhcXR3l5eUEV5wVAsKAMqhUVFUm8V7u1vAJNaaknZxZGHAFo/9/VxsQr5CwvHhA4e/YsRUdHNzlNRfkFgJXWuqBd24aSIGlXmVJWWkoJCQleLiMKdcuLG6NPH09Oeb3wH4KZ/xjaK2jXtiEmCNq1MYurXWWVAACA5gLxAgCYEohXI3Bk/vLlyxGh38qgXdsGe4i1a8g57AEAwQEsLwCAKYF4AQBMCcQLAGBKIF4AAFMC8WqlFY2AN5wFhNcm4JkMvJDKrbfeKouqaKmqqqLFixdTly5dqFOnTnTHHXc0yNUGGuf555+XmSKPPfZYyLUrxMvPikacqoeHnXlVouHDh0ue/PPnzxtdNdPwySefyBfo888/l3xrNTU1NG3aNEl3pPD444/T3//+d1ktiq/naVu33367ofU2EwcPHqS1a9fSsGHDvI6HTLtyqATwJikpyb148WJ13+l0uhMSEtwpKSmG1svMnD9/nkNy3J988onsFxUVucPDw91bt25Vr/n+++/lmgMHDhhYU3NQWlrqHjhwoHvnzp3uyZMnux999NGQa1dYXn5WNOIVjPSuaAT0pSJiOnfuLK/cxmyNaduZFxLu27cv2lkHixcvlmSc2vYLtXYNuYnZbbGiEWg6kwf7ZCZOnKgmjeTEk5wGnHOr6V0JCnjg7MGHDh2SbmN9QqldIV4gIFbCd999R5mZmUZXxfRwuhtOhb5z504ZTApl0G1shRWNgH8eeeQRWd187969XqmIuC25i87ZMrWgnRuHu4U8cDRq1CgKCwuTwk751atXyzZbWKHSrhCvVljRCDSEp8yycL3//vu0Z88e6t+/v9d5buPw8HCvduZQCl6zAO3snxtvvJG+/fZbOnz4sFp48Zr77rtP3Q6ZdjV6xKA98vbbb7vtdrs7PT3dffToUfeCBQvccXFx7oKCAqOrZhoefvhhd2xsrDsjI8Odn5+vloqKCvWahQsXuvv27eves2ePOzs72z1+/HgpoHlM1ow2hlK7Qrz88PLLL8sfQEREhIROfP7550ZXyVTw76Kvsn79evWayspK96JFi9zx8fHuqKgo92233SYCB36ZeFWGSLsiJQ4AwJTA5wUAMCUQLwCAKYF4AQBMCcQLAGBKIF4AAFMC8QIAmBKIFwDAlEC8QEjAWXFTU1ONrgZoRSBeoNWZN2+epH1mpkyZ4pWiuK1JT09vkA6G4fQxCxYsCFg9QNuDlDjAFHCmBJ4031K6devWqvUBxgPLC7SpBcbpWl566SVZJILLjz/+KOc4v9eMGTNkgQhO43L//fdLIkgFttg4KwVbbZymiNcQYF588UW65pprqGPHjpSYmEiLFi2isrIyOZeRkUHz58+XrK3K85555hmf3UbOsjB79mx5fkxMDN11111eaZD4vhEjRtCmTZvk3tjYWLr77ruptLQ0YO0HGgfiBdoMFi1Ow/LQQw9Rfn6+FBYczjV1ww030MiRIyk7O5u2b98uwsEComXDhg1ibe3bt4/S0tLUlNycu+rIkSNyntPtPPXUU3JuwoQJIlAsRsrznnzyyQb14hRHLFyXLl0SceXEfidPnqQ5c+Z4XXfixAnatm2b5CPjwtfyaj2gnWD0zHAQfMydO9c9e/ZsnxkPmGeffdY9bdo0r2N5eXmSdSInJ0e9b+TIkU0+ixea6NKli7rPWSs4FU99+vXr5161apVs79ixw22z2dy5ubnq+SNHjsjzs7KyZH/58uWSkaGkpES95ne/+5177NixutsBtC2wvEDA+frrryWzKnfZlMKLRCjWjjZhYX127dolCfl69+4ta0Jyd/PixYtUUVGh+/nff/+9WIBcFIYMGSKOfj6nwN1FfoZCr169sPxdOwIOexBw2Ec1a9YsWrFiRYNzLBAK7NfSwv6yW265hR5++GF67rnnZCUizov/wAMPiEM/KiqqVevJGUm1sA+Nu5ygfQDxAm0K+6x4NSYtnH/93XffFcuG8643J387i8fKlSvF98Vs2bKlyefVZ/DgwbKQBRfF+jp69Kj44tgCA+YA3UbQprBAffHFF2I18Wgiiw+vJsTO8nvuuUfir7ir+PHHH8tIYWPCM2DAAFmT8OWXXxYHO48EKo587fPYsuMc7vw8X91JXtOQRyw57zsvIZaVlUXJyck0efJkyQEPzAHEC7QpPNrHqzGxRcOxVhyikJCQICOILFTTpk0TIeGQCPY5KRaVL4YPHy6hEtzd5PUf33rrLUpJSfG6hkccFy5cKCOH/LwXXnihwftw9++DDz6g+Ph4mjRpkojZlVdeSZs3b26TNgBtA9JAAwBMCSwvAIApgXgBAEwJxAsAYEogXgAAUwLxAgCYEogXAMCUQLwAAKYE4gUAMCUQLwCAKYF4AQBMCcQLAGBKIF4AADIj/w9MispVzk1EZQAAAABJRU5ErkJggg==", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], "source": [ "fig, ax = plt.subplots(figsize=(3.0, 2.0))\n", "ax.plot(history[\"loss\"])\n", "ax.set_xlabel(\"Iteration\")\n", "ax.set_ylabel(\"Loss\")\n", "plt.show()" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "code", - "execution_count": 4, "id": "2203c1b5", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], "source": [ "with torch.no_grad():\n", - " x_model = dist.sample(100_000)\n", - " x_prior = prior.rsample((x_model.shape[0],))\n", + " x_model = model_dist.sample(100_000)\n", + " x_prior = targ_dist.rsample((x_model.shape[0],))\n", "\n", " plot_xmax = 4.0\n", " plot_limits = 2 * [(-plot_xmax, plot_xmax)]\n", @@ -120,25 +84,14 @@ " axs[0].set_title(\"Model\", fontsize=\"medium\")\n", " axs[1].set_title(\"Prior\", fontsize=\"medium\")\n", " plt.show()" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "code", - "execution_count": 5, "id": "0a623862", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], "source": [ "with torch.no_grad():\n", " grid_shape = (50, 50)\n", @@ -146,8 +99,8 @@ " grid_points = torch.stack(\n", " [c.ravel() for c in torch.meshgrid(*grid_coords, indexing=\"ij\")], axis=-1\n", " )\n", - " grid_values_model = torch.exp(dist.log_prob(grid_points)).reshape(grid_shape)\n", - " grid_values_prior = torch.exp(prior.log_prob(grid_points)).reshape(grid_shape)\n", + " grid_values_model = torch.exp(model_dist.log_prob(grid_points)).reshape(grid_shape)\n", + " grid_values_prior = torch.exp(targ_dist.log_prob(grid_points)).reshape(grid_shape)\n", "\n", " fig, axs = plt.subplots(ncols=2, sharex=True, sharey=True, figsize=(5.5, 2.5))\n", " for ax, grid_values in zip(axs, [grid_values_model, grid_values_prior]):\n", @@ -155,7 +108,9 @@ " axs[0].set_title(\"Model\", fontsize=\"medium\")\n", " axs[1].set_title(\"Prior\", fontsize=\"medium\")\n", " plt.show()" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -167,37 +122,23 @@ }, { "cell_type": "code", - "execution_count": 6, "id": "c7d87086", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0 tensor(0.5447, grad_fn=)\n", - "10 tensor(0.0376, grad_fn=)\n", - "20 tensor(0.0146, grad_fn=)\n", - "30 tensor(0.0063, grad_fn=)\n", - "40 tensor(0.0036, grad_fn=)\n" - ] - } - ], "source": [ "ndim = 6\n", "nsamp = 10_000\n", "\n", - "dist = NSFDist(width=64, depth=3, layers=3, ndim=ndim)\n", - "prior = torch.distributions.MultivariateNormal(\n", + "model_dist = NSFDist(width=64, depth=3, layers=3, ndim=ndim)\n", + "targ_dist = torch.distributions.MultivariateNormal(\n", " torch.zeros(ndim),\n", " torch.eye(ndim),\n", ")\n", - "optimizer = torch.optim.Adam(dist.parameters(), lr=0.01)\n", + "optimizer = torch.optim.Adam(model_dist.parameters(), lr=0.01)\n", "\n", "history = {\"loss\": []}\n", "\n", "for iteration in range(50):\n", - " loss = -dist.entropy(nsamp, prior=prior)\n", + " loss = -model_dist.entropy(nsamp, prior=targ_dist)\n", " loss.backward()\n", " optimizer.step()\n", " optimizer.zero_grad()\n", @@ -206,54 +147,32 @@ "\n", " if iteration % 10 == 0:\n", " print(iteration, loss)" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "code", - "execution_count": 7, "id": "edd26498", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], "source": [ "fig, ax = plt.subplots(figsize=(3.0, 2.0))\n", "ax.plot(history[\"loss\"])\n", "ax.set_xlabel(\"Iteration\")\n", "ax.set_ylabel(\"Loss\")\n", "plt.show()" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "code", - "execution_count": 8, "id": "cf1efa6e", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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Gtn0czqFLjlXpE9koMSGysIelBpOQfW0x4tAksXLV7Cebgv3kUN4Cmc3iF42SmduAUYkmH6I0bSkf918rjPta7kQSo40Y3NiyoC3lQ63eznAPYSk/H4dqIJa0mQkZuHdxe7ynK9DOLpi9gLMaYJtqP7QhKW2OZc1lA/1hkLiD2E3L/R6bhmPDvlQ2Z2yTNrTVC0OGUzPm5wp6XmvmIwmzuUcFPebdBX3xtRjtkHKhJywLOhgLfvbZZ9VDDz1k3WbTpk3hW/Lhn127dp2o5hFCGoAxSkibvQHfcMMN6rHHHlNPPfWUWrNmjXW7VCoV/hBCWhPGKCFt0gEH/qaf+MQn1De/+U31xBNPqA0bNqiWY5EyRSMy1n/+apkQb5nEru1XxcyT7/tAmo6BrDpfXDC7sbRC5OtYQaQfH+XouJxDZVAkJz8BEh2clh8TucqB4yZ3TMg2fbIfB7JEnQKYEwz1mTOuZzyzkQgaG1TLRhlfyzZHqRm9rzWjBZDD6mhE6iRNxCIr2iRJm0EHZsZbZUs0jcDSm3j/oRFHLmeWY9GDGfB6IGagbVUc5oF4w33GcmXzcNH4XG25vBJiKRwCkvOsDkubqim5pxMQ904OniVojgHtdm3PMzT6wKE2GD7CoSRfG/axxBV+r1i+EGcztJnsfMI64EB2fvDBB9Wjjz4azgXev39/uL6/v19lcLoMIYQQssxo6hjw3XffHY4TXXzxxWrVqlW1n4cffriZhyWEEEJanqZL0B0BZitbPGTdDMhb9dmR6KkKmYWYZallSqJUBpmCKBGjVOv1g/SaBtm5P2mUrJFynxw3nhcZqNID63PShuKoSF/xHJYChMURycSsZqQ9cbwOkE3tzuSMGdSYra1ldGNWJXruookADg9gtqVV3tKz2NEzupESklZpuo3lsUhZ7OwE25APfhaWPbifNGkah0nwnkDZGXePHs7Ts8b9eDCco1GCeIhL+wsj0p54DiR3lIorsP++jDXOfTiHco/EXGJOzr8yAPIyZE07mAVdLJvNRCA2NLMczAKHZ6FmXOLD/tG4BJ+xaOJxDIZIrQ69oAkhhJAIYAdMCCGERADLETZQQhAlSE26OkoimQ9uQZjB66K0hqYQUIZPDYJ/azVplJ18yNAsrhB5LFaUbUr9MLkfVJpqCrKdu2S5MCTn3/eayLn5FSg7QxtA9sutECk4AzJYuUf22QNZnCinldaIjJeEjE7NFAB9dmdhGxzmOEopNpPsjyURj0XWaigjuo3lsUhp5LpZykxqkjKAMqcLsqhuuAESqeadDAeAz6IHurd6RJbRNGNehqpKo3Ks+AysHzS32UdVFyRklJq9mMSnl9RjIFaEZxfI3MqRfSWnpB0VGLZyi3LOcZS88drN5YwmQP7EITmU5lvvm5+fjmP0iMbv0isWjn1op0WHgvgGTAghhEQAO2BCCCEkAjpCgl50NqpVxrL4yVoMN7TjonRVbxyBJM1Zvs5AnzlxE7KF/QQcDyQbLXs5EzPK0dnVsB+4FJlJ2aYwCOe2XuShchdKV1C6rSxyUnoK9jMM8lZW1hdHZJ+xAmZcy/axvBgSxPZP1Za9Ybk+LpYxA7Syb/jdwHAAGnRombP190cD90Uj9xRZAmnQYrJhGzJyLJ7EGKNa9jzeTxifmLGLHsaYFQ8e6LrvubQtfxKYcrhm6biakPWlPvBFHpb9xAty3ATEVX4EY17P2Mff3YosFwYhO7pbziEzLsNEHph1VPplm/iUyM7VETD4OST+8Q4akeD3NDlt9Lb3pmS9C9cU5Wirf7dtJMiSAd9K8A2YEEIIiQB2wIQQQkgEdIQEfVzZqMeRHYdSV30bbEYcKImpGEgtgz3mCfcga2XXyzaJLPi0gnyVG0WZRhYrkHCYgMTF2XVyLEi4VlXMpoRL5MK8+GQFjjuGRq2wPah4MZDf5k6Wg/XsBY/bbsh6XDtizCRF72hnFk4GjAP8AmRSghyGZh1oiqJlWR9npnyrZlx2RLazh17NYAIB0rEmW1pMW1AWdTDb2RK3lTExn4iB93p5CLLqk2bPdG3WQQazlGV9uds1SsU+etHAUFB+2BznGNsBU2fIdskZszQdhxidPk2eaT37YcYHPJMKwwO15a69csDKGAwTgde7OyEHdkBeVlrJQpgRAiYe2neGpkT4WYv3dzvEId+ACSGEkAhgB0wIIYREQEdI0IvGklWpnMSCZc9ckHt98II+QppE2Rl8nv0RkW8QnLiPpf1KQxmjNIUGFx58i8VBaV/PXjmHco+sz54MTQNPCzTrKI5AecEpkL5W4DbwWfQvkORlNZ82S9zd+8EgAK8pXMfEHEiAvWAGMgeZzPAdKPCi1YYHwOREW6+VktMlKieeMGdcdkgZtHYCvwu8/lr2K9wG6CXsYPYyzlTA+MTY1UoKgoEODAV5mYTRrKKaxtKejlF2duH2wVkH+CpUhWx+jJkKqLcx2E8ZEo6za5VG+oAsl6BSYTwHMT0mywlJZNYys3FYKTUFQ0a90sDEpAzvOCWQiwekgc4k+GV74AWNpjtF11ji0IPnov5MtpR4tXi4W4kgnvkGTAghhEQAO2BCCCEkApanBI3yAsjONnnRRRkLdwPyiAtGGkdkU8ZAGs1CyTzI8EMBuzgm0pcHGZSYmVwYQD9nc9bxzAb4LMhXXkKkmfxKWJ+W6xKfkRYVxjCtGWRh2D69R843t9o3Sl2ZcdlNuRuzQc2ZxYmsuRSjOyWSst8PvtmY1TyFKZ8gDWrfvWP+vurNO7DkGu5rsRIXOTbZ2ZLZqkmPKCPD9lW4D2JojoP3CmbmFkHLhhJ8pZNl6CgxK/dGaUAk2GrGHKv5ETDWgCZXoDkoTXsw+lHuhXsMUqsxVjHj2o/p92RxCLPGZTF1yDE+M1w4fZzZ4MBXMDBfNUrwZShr6MCsgsQUPPMsz1IFsYhmOZj5rA0twDIarFizoC3Djtr2EQwj8Q2YEEIIiQB2wIQQQkgELE8JGrHJDrb16C2LEmSdhKlJXAhO1gef59Jwl7FEoJeQ5WL/wn8voRyVX4VeqEb/AuX1gpyUEimnoqAsWQHak4IPgxFHYRVMjC+DT3XWnEGdgezMKkhuiRzI4yPShq5xkaWqK8QUAYlNS1azPyolDp3prNnf1yZd1RkD4HaaBH085dHI0Vmsj69mcAPeyJD1rmXaWspYesPmeys5Jd917iSJ1cScHLcwIvFcGECvdnMmcn6N3FexWfBYh7iqdIPUnIShENgmPiRti8X1a1XaIzq3n5J/qxRAzkUVFieFwK569smxs2Cik5mQc4jn4BmAyjk855zJknFGiHMQPKLRJAVKFno4awEla5uHv0VqtnpHRwDfgAkhhJAIYAdMCCGEREBnS9A2WVArZbVwCUJNdsRtFMgaedCZwlJbOOs9ZsyI1rYHOTt9UGSaOSgLmJqBkn+Q3ZiDTObe1y1yEvoOrAI/5BKcJzQtOSLbFKdFxkv1QwboAch67AWDhKxoyoVT5FxSO5NmM5BZaWgaTD/iIEeX+mWfCZC13RKYjYyCV/ZE1nj9/dk5o8zszYBBQL0H7SKHLGzGEaRxNK9fS+a5NkyAn0XDDTBn0TKlMQMecCrmzxZgiMgHaTO7Jmk2shmS5TImVg+Zs5rjeWjPm+QehfxsVS7FjQHtw37WDoELjlLqtbKcczot9+J8AqZO5ECyh+EmzMyePlWOMfCqHHt+pbQpA5nVyVm4jhW5MNWTho3lCxVmOPfDsxNmI6CPNJrrYHa7JlM3ULLWTYEfPw4pnSD4BkwIIYREADtgQgghJAI6W4JuQC50UYZEX2GbTA3SlQPSh1Z+MACNHHoks7LaI5JHtRtkl7K0KbtWtimDj2wVfJ5RdvYgO3L6jSBxdYFEDk07c6U4YpzUJdmHvzp0Um05EZPP5rtEUi17IOWMSnvWjx6qLe+ekuzG8ksiJxXHZJ+p8ZjRJMQto0e0rC/3uGa5DiTJWL68oO+vLRMWJ/bXm6xgNqV2j1ig7Ly0NOL7q5UXtJWMhBKVzkC/uYxlOmn0Z690mfeZmZR7evL0uNHcojAK9xkma2dB4l5VMcrO3Rl5jkxB5vKbTt5fW371kMi6+Yo+dJJKyb2YnZDnVfeISLi5ggzdFFbKtUgeAmMRCJsKemlAKMYK8LxF3+aURfrPwbAdSv/wLMWhIW3IAb5jLD9pM+LQ74lqy8Qq34AJIYSQCGAHTAghhERAZ0vQDYCyBv41opls4HLMnD2pTewPd4wGrSCrghEHZvD6sF/MXkYZFg0rMEMxVgSZeoXIMS74wvZ0y/rxefFPfm1S5KvRHslK/MDqX9eWD0K9s+fnVsn+B2X/7xt+rrb8j4WLasuH1ktWYiYpMlMx32uUsSppyHBGgwAs1wbXEG9hB7IttYxXlC3BZ9ZH3996X2dt+GJheRMznzGb0pZ9uaw5DtMS7RpiOTvcfTdkLMP3jaUoNeOOpFl2Lg1B6UpsMsRqudtcUhA9n3EGQrUPsru7JB7GhiXzeSYnem9vUtr/3je9VFvOVqVtKzLy2Wf26fUIL1i9q7b8SrfUDy1UpIHVFRKjhSnICp6TE4oVzD7u/a/LOeRHJQZ6Yb2Cr9iFmPOxNOseGRZzoHyrCxnR+F1iprsWk5Yysjaf/6hjkm/AhBBCSASwAyaEEEIiIN7R8hZikbqq2eyCpc7QlMGBclrahP96ZRJl5275THy+bCyxVwS5K56HrE+QVbOroQQhZCUmRYFS5apsk0zKsYolOYdsVj782fO+VVv+wfQbjbLzREnk4rP79taWe0GXemD3xtryim5p0MGXIENzEDKL43KOXbshW9HsU6BlR5e75WLH85hWito9ft8WMwY0RakzSHHUwuXwENskfqvEtZy9oxs5X+v1iRkz1bWSk2C24g6JJ7jqAfMJlDMzMAxVku+rkpY2JObMUisowQomCGgSdAyy9qsSVuqstftqy3Nl2dFIt2Qonz+4s7b84pxMfXjP0Lba8stgsn7lKT+XAwSZ01DzcJs3VlteCTE6AUHX3yX38aEZkaw1kR++mulT5UR7d0Jpwh4YL4Plrh2oZVdk2WJc5E+YjTXcPriQeB/AjAU0N9LiE01zIh4i4hswIYQQEgHsgAkhhJAI6DwJepFyHmavuigvW+QIb14kERcn89d5y/pDfcbs3EpP0iiXJLKQITyQMmYFz50KGX6otqawBqFIKj3DIq+fOgBGGVlp9/aiyFI3rvj32vJ3s2cbJeh9RfnsGf0iob19ZEdt+eWs7HP1WZLduHuXSFqxnPztV0b1CZVc+CrR+zo5K/+QmJTJ/F4aMjtHpM2xg6DRgxGH9o3VZ0GjMQDI05rs2Qg2KXW5yc4NgKY4uhe02fNZKwEKQz5uX695KCKbM94HfkJiptwnsZcZl5ux0hU3xmQZDuVDcyq9WDpQ1mdGpQ3Pvb66trxm1aS0H2xz3piRIR/kOwckPt8EcXgAYrUezHzeNSMZyKUylFE8CGNbo5KxnH5Orktx0Cy1p6YgaxqGjJLTZeO1dqrw3YCZhkI/JBj+04b86uPVtA1gNWexeY6fIDmab8CEEEJIBLADJoQQQiKg8yTo45ACffT5BXlL8wWG7Ggf5GjMjg5/L+DEb5Cap0Vqya/uMWfsJWT7CnhBo8wWBwm3Mibt7huWDMpyRSSVl6cwo1F4Q1rkq0dn31pb3p6X7OX/NvBCbfmc1J7a8o/zp9WWX50frS2/Y/C12vK9u98lBytJm70ETJIHdSg/IuebOSjrK2CQm5mAMoWjktnqFqHMWKFqlrfApEErgebpMieWnFNQ+kwrZYb3gvZp3BGl5kZpxGdbKxMK5QLxe/HmZOjFBb92zZAF74kuid3EjKwv94Mne698Nj2F8qS0Jy8jL5rnczUDQyZx+YeNb3i5tvz0rvW15TkwDPluWqTmD45srS3fPirGN/fMiId7tyvZ3eG+wGj9pA3TxlkOz82Iuc6+tIwHTe7uN5ZX7JZHgIqDnXO5R2Kmb4dIweUe7GZE4k7sh2ckPj9x+Ae928cnjM9CX5vxoIzmG7aSltr2zIImhBBClgdN74DvuusutX79epVOp9WFF16onnnmmWYfkhBCCFneEvTDDz+sPvWpT6l77rkn7HzvvPNOddlll6lt27apsTHQa06w7GzNiANpAjP0NHkZ/WdRHqmXQaDUlgOlCaurRMupwkR/tyLHriZFyimAcux4IE33Ykkt2U86IfLNm4YhS7lPZOGYI23dW5aUxiKkNH7l5B/Wlr+RFTn6sbm3SJthP6MpyTTeOrNOjrtesqOffnWDnCPKvwnZT3w7ZKKDCpwAv5TigJxvakrWx/LgD1sGOQkn7aP0CL60KFseUfoMDVoaKF+pQQn6uGNUy1TF6w9mGig1+zkZGvJBznRcGH7okv04pYrRNMePm/3ZK+j/DFTTOESEZURhmAt29KsJyYL+X6c9W1seToAvdEXa/PX975B9rvipUXZGybneLGdHUYaJJooSE9NFeY5lEiLbujkoxzgAkvIsZITDJU3OyHJxULKXkzPy2VhO9u+B9O/g9zRpjlEnI+fmYwlC2xBhG3ivN/UN+G/+5m/Uddddp6655hp11llnhR1xV1eX+upXv9rMwxJCCCHL9w24VCqprVu3qk2bNtXWua6rLr30UvX0008bP1MsFsOfw8zOSjFmQkj0MEYJaYMO+ODBg6paraoVK8SnNCD4/cUXXzR+ZvPmzer2229XzcaWBeegMq2ZL5TMk/wtHqThZ0D2dGByuJeAyepFkaaKg3Gj7zGWGkSjZB+yiIdXi/Zz2UmSsTwLqcP7yjLx/oz0/tryWZDVXAYngQNVkfHenBK5pwoS2nu7xKf260qk6RdAyt4xJ5J7PAWyOcjpXhGMEPphAv+MbJNC840seM72QlasL7Ji4qBkLqvZrLlsJGREuxVdrtIy4uG71cqgoe+spRwhErXv7FKw1DGK19D3zFnN2nWD6+9iRjtKmCBTOyhx43cKy/7ooNGfHTPhMVMfy/Fh5nPqkKwvDoMcfRAkWxg+OWNEsnrHC/JcKVZl+8mynOM7B1+tLfe6co9NV7uNknPA+oRMJfjHg1ImdEVGYmIoLbG+axZKBI7JvpLbM8YZCTAKpXp2yzkX+8HfHUyykwcwrlzZpuob12ve7XhPwLAgDvEh2iwFfOb7izTTWS5Z0MHb8szMTO1n1y6pZUkIiR7GKCFt8AY8MjKiYrGYGh8XK8KA4PeVK6WqB5JKpcIfQkhrwhglpA064GQyqc477zz1/e9/X11xxRXhOs/zwt9vuOEGdaKxZa9asy2hHJ3bhVJX1bx9N2TahrIL+D+DL7ED2c7xeZHNSv0xo/SFSY2xeRAsRkR2mZoSCerf42+QdoNkfUqfeEH/ZlYm7n905U9qyytjImW/CtLXRZCtXfbFm/bHBZnA/z97fy1Ni0sWZ7b85trya1Pyh1fPqEjE81m5dvE5kKYhEXl2rbShf7tvlKMxw9LH7xUkRndiyphh6ddlK2vZtpBV62DngyUn8/kFM3vbVXZuJou9JujX7kEpUTeTMcuW4CWslbnD4YcczFLoTRq/30TOM/qSpySsVEGSjJULQ0fVk2AIZ7fc64Vh+fBwUuJhdVru0YFEzpjh/N3Zc4zDQuvT4F4TxFZczmfjiAwZbT20prbcl5TzL5VhSCcGkvIKeValxqXbyIA3hgeXunsfZD6DKQ5mmbt5kIJn5swSNBpu4AwGHEoC8HnuwXAFmnIsm2lIwRSkq666Sp1//vlq48aN4TSk+fn5MCuaEEIIWc40tQO+8sor1cTEhLr11lvV/v371bnnnqsef/zxIxKzCCGEkOVG072gA7k5Csn5aPIfZqxqmaxJzLizeEQj6C0LpgBHMNhtlKarGZGHenaKvDJ1pshpXZKwrPJgylHOyjmkRkT+nC/KPi9ZI16zb+7eXVveXZLM5F5XPvvk/Jm15Ut7xGv2/+QkM7Lgi5z+3SmRl19In2SUuPuTsv9En1yjMkhdmb0gDZo9UjRvXfTWxoxxD76/+LwcyylWjDIkStBHlDeDzfB+wWxbHMqwGnSQ4/drh/Uo9WvfC3pEY5lCNMjBDHaQPPXSob5ROq10y/4T8+BF3gv3InztlW70KgajnJNEap4rixz7f7efXlueWSPxn46JdLoGpOkPDYij4C2vfrC2PIne18Et3iPXaF9BznMsI+3IluXeTSflGuX2iVzetQ8CAkKlmjSb5cTAlx0NTdxCxVya0LXkA8NzVZOXwZ/diuUeaiVznJbKgiaEEEKWC+yACSGEkAjo7HKEjm1iv2zilaoLev6in6yWEY1yZr0XNMiksRx4DqflkqcmJMOxsKrbWI4QgQpiSoERh1eVducq0u7HtolEvHftgFEW/lVMfJtXJUTimqjKwcYrUpZsKAYT+BPzRtl5OCXbPDslmdL9vXLcg3tlnwlQzeJySTRSM76xRGMapOP4dN4ymR+WMYsZ5K36YQYPJ/dbfJ5tGZetKne1K5jBqscleABDCi5+l44CjTQJ3wv6uOOQBmTmlvu6jEYRyTksZyr7nD8JhrPKsDwDMT8ksTGdkzbEoUxhriLncl7/67XlFYkZ43DRf1/5vNULessB2W4gaTaIwdkSXUm5drOzcn+X+uD8Z+F6aUNDZi/ozLjEkpcED/hq1fx9oLyMWez4jIWhQw9kbSzrqnn+o4lRpXVikm/AhBBCSASwAyaEEEIioOMkaKuxBmRMapP/QS7UJAstgy6+sLzV32tvUxEmgaMEAyXzwC5VZQ7KsfMj0r4uMBUrlOV8qiBrV7vks90nidw1nhdJeUO3TNYvgP/zj2clE3MODF8LVTnW6rTIYJmYXIsLB6Xc4X0vSdm0FJRHnNwtsrPbDRP7pxLG8mZxUJTLPSI59T0vklalC7JTpyBbFq5zbGrO7PGNQwu9upGKh1nwcL+gEUQVjCDIEoDlCC3xqpUMxW1gyABNVNBgxUHvdgdurnTCmJmbmEVjF9lnAfzHcytgOOQAnAo8WUFpVnOvyVBQtUfOa83JYsrhgbHGc1kpWfgbX4Z5uuNyvhnIlJ4s6VnQa7qnYb9y7z/5osR6DDzaKzC7Ih6Xa92zC4bUQMnuHpfPVmHoTJOdwf8+noeZAzmzN7c2fASyszc9ayw7iDNZbGhGHC00RMQ3YEIIISQC2AETQgghERBfLt6yNi9QLasSzRhgMr82Sdw1S5g4sT8EJE0sceaAh2llQLSp5LS0rzQApe3gsyjJVnpkP5lxkWAK0L50UvY5NS/a7rdmJDv65CHIfJ4HmXpgsrY8ClnNZZCxiuAX/b+ffZtsPyzXolCW6xifhpKLE7IMydSq0m023xh8SSSqSgbKm02bTS9ic3mz7IzfE9wrHvrM1sueuNyAj3grSVxtC143lJFBCkYZ0kMjHDTcgAxnNSZONj7Izg7Iog5I0Bi3aD4BCbXavRvP+UZpOnUQhkbQIwSGnfYfkuGZPSXxLh8bE9m1AoYew11y4Lgr1yeppSXrPL9PvNjXniSS967nZX0MyoTG8o5xBkYSZiQU+6RNmUmIJ8g4dyDrGLPMvbR8ly5+f+jZPS3n6WBGtG22C2bGw7Ndo4Vikm/AhBBCSASwAyaEEEIioOMkaCsWWRANFFyQtDCr0sMsWDDicBIgidRn4qHHNGThOpBF6x4SKSd/xqhR4kpPSluL/XIOva/J/udOM0sqh16HMnx9IrONgUR8KCeab7liNmL+f/vX1pY9kMFw+3UrRdLa8ZoU24jBcb2MtDMOpRXzUMYtOWU+dy3bOQvfGRqpYIkyyGLWvnvN+xtMCzBD9ijYM+gt2zTCMpOsrdI9oA0HWdCGA9CXHWRnB7yR/UNyczl9qKmCFDoDTjD9EuvxHA4jySaJrBxrflXcbCgDoyGzEKs9O2SfWVfasPYMme6wZ2LQeHtn8/IcqZTAEKaiv1PFU+Bdvl+GvHbvlnPrOVVmNlT+Q7K0k7JauRAe86vlnHt3gsEFPAKrIEGn5szDRI7tu4dsZ80gB+4JzW8dYgbLUmrDEi0ab3wDJoQQQiKAHTAhhBASAfHlLnVpcjTKGhZfaO2jWBqtPkMPsmr9gT5z+2CSeXJGjp1bDR6xBZB4XDAhADkmvxKyLFFFBs0qvl32eTAux43BcnFOZK1f52XSfyoNbTsAacqgOe2Ylc/GJyE7NQ9Zkgdwgr0s9rwO0hLckeDzoeGjxAgZls48ZDLP58wZ7WmQnTGL9pBkfR/NCAKHKTT/5+NhGcjOyPFI9F6xYJ7BgJnP6BM8KUYU7rDIuWo+b/YHR4MH8BhOoGnOSjHdcSAG0ofMw0VoytGzHWYRQHlRtyTrX98+ZvSUVmBeU4JynqoIz6pufSjF2ydSsz8ikmx8Z9ooO2M5UHyWpKfACxr8Z7rG5XjxeViegHKPXSlz7E7OGmckaJ7PuD1kqLs45Afb+DCUpD//WzPe+AZMCCGERAA7YEIIISQC4std6kKpUVuPGdGYbYmZryiB1WXcOUMi+ToHJENYDYnc4/WANAOSSnpC9lXuSRhlLZR/U7D7Mqjdqb2yTQnWl8elbZUBkKzyItlUC1CK7HXZPgb+sAkoS+bD5PkylC5Lj0ubY3CJkqg+oYcsTOZ3QCmKFeSX1P45i28spImitzMMB3hT0+aM9rr7QC9fCVmmjRhxtGjGZafhWWRnJwWG4oCfgyEjLH+HJiwwSwGHeTxYr7UhhqX5ZPsyWMO7OLIFn4XqgqoKu0/vBcMaCM/iKByrKMvVNMjDe+C8wn+Dtu6D5w3EsaOZb0C7sfpfWbavpszey04ZPlAByR686mNgeqJQOobvRhsGwBjD7wliyRqrSzVE1ET4BkwIIYREADtgQgghJAI6WoJuBFuZKpQ1Yt1dFiMGexksH7Iv0QwAy265kyDHDItGXOkxZ133vSYSzOwG0ZZ69okckytDRiQ0FaWsDMjCpYIcy0v5xuVE1lwWEP2oUwdlfTyHWcrmNqC8lwJv2dSkbOSCpOWg4QagZT5DVrpKJY3Z4Dhs4OVyVnlY85QFWUsrWdkIlJ2PjQaum+17QRMdzSwlDfENWfLO6LBsXwav4gHRkd2s7DMNfsbOSX1G84nBl+Wem1sNBh15WQ9VBJWL2c6wWIBM6cS0eTgnVgA5WleglUJ1fQ7lcnO2Mw779O5CkxtlnJmBYHlVvxeGrWYxRgvGbGcHJH5NakaZGp+9WrlYt21jj2/AhBBCSASwAyaEEEIiYPlI0IvMRtUm86PhBmbLohyJRq3hhzzzMmb7Qaaue1BSIt2kSGJJkEJzK0Wm6ToockwFshIzk2Zv1kpafkmC54RTAVkKlrWyaXDKKEf7kAGKf8qlD5o/m54G45E5MECJo6wNZQpn5dxj8xZfV5SrIPPSz6GRrWuZ8I815vS/Rd1U2ihHL9pEghw3tmxzW4lRLSMaDXLwu4P1/viEbI8xOTNvzMyt9mBqMexyRtpThZKZgy/LOMzUGfLZWAnvP1lMTaMxDcQtJP+XIMsavanj0OTw3+CUe/fIL/MrwNQCtk/NeMb2YYaz5oUNPs9uDmIUTY1wtggM+zhYsjU7b/yO0c/ZxUx0iye77Z5oVfgGTAghhEQAO2BCCCEkApaPBG2TnS3StA9l97TNY7K+OjNrlkdCqTpulkbhGA6ad4CEHcuVjN6pqRmYZB6Hcl8F2X8RvlK3Ivss9eLkft+YfYnZyNUkTM4v+sYMyMIQ+DwflPOaXS/rV/yHnGOpD64JmBYkoP2xnMh18XGRkX3IakYPbU1eBjMQx4WsSpyQj98LrD9CWrZlWaL+1gZZlm2LZUaCtok2BIQlRuH+tmTIavGJ9xAOJcHQk98DpT3zck8niyJ5FlaB+YsyG1r07SgZS2z271BGo4sqZC6nZn2jN3NxADK9jzJCgpJycs7sK49Z2un9MEsAYq7anTRmPqP/uj8k2eFOsWIs4erDTBHtO4b2xPp6jd77WrlKv9y2hjh8AyaEEEIigB0wIYQQEgHLR4JeJFaf30rFWJrOyUBmZJ28iYYPKH35MEseMwK1Ml29YuKRPCCZgtXetLnsYBplapGvBl4R6as4IG1IZsG/ttsxylW6BA2ezLMg2cOfciufLhrlra490gYvCVmYIEGjvKfJzlBm7IiMc5PXL5qf1Pl0L+QnW/9vTuzYhzLIMbLIa4iSJGZBK1zG7xizqXE9lPZzhkR2drKQbZ9KGIckMq+KKXtlFCRYuF99GMLSh4KkDfkVEtu9e+B5U/SMwzlodhODfQb0vSYxURiVYZnkXNVoIJIZh2cSyOuY+Z0Yh1KDMOyjwLDImYbpEpoximOOY983zzqYN5tv6BK0ZbgI17doTPINmBBCCIkAdsCEEEJIBFCCtkgTjXhE43pvCowfjpCnM2ZjAAQzddG7GDILq2MiicXAmxbltDhIuzi5H7OpUX4q9cXMGZDgyVwGc4x4DjKu+9Hj1nwdvYRZasbyi5hJ6UB2NLZZFUtmSQsm+eN18yDDUpMhQbrC79LF/dSVHWzIfKNFJa5Oxva9+KhaopEDlhiFe8hJpcxDTwcnzRnXOXhvwaEOiO34oazx/iuPgtFHBTKLoWQfysBIuVf2nzkIZTHB7SYzAXFSJ3ljSc/4vLlUn26uA3I5+F+jyYYDw1M41OPjkBHGH6z3cTYDxHpDJQVt8dZmccg3YEIIISQC2AETQgghEUAJ2gJKkraMu6NJmCg14wRyTYKGSem2zF4PyhRihrBNqk1MgmTdA+YgsPtYEbafKxuzppHM/rzZGAS2Qa/Ycj9IYrtFivNBWkruQYkY/g5EaRCvKXrLwvY+mKHYpaiYMVvdh3M/JumKmc+RYisNqcWrZb0mNcPMBizfp30Wj4sxjFIrtgezrNNyz8VnIMu4AHLsKohziKXioERZev+8MbZTU2B0AbJ2+DssZw7NL5iNjDHq5EFqVg1gy3AuwfXFa1coLvh9WGejdEgc8g2YEEII6ZQOeMeOHeraa69VGzZsUJlMRp166qnqtttuUyV8iyGEEEKWMU2RoF988UXleZ6699571WmnnaaeffZZdd1116n5+Xl1xx13qHYAs+9sUpfmP1v3x4UDWdRaVh/6R/f3GeUV9Et190yYJS7M3CyDDAafjWGWIZ5bBj4L2/hdcNwStKcIXs0wOV+pLmOWZHyuaJSLY1NZszkGthMlKig16GMWNEpdAHo+a3IjmCWgfzcaNhxTmcE2k7valgYkRi1+ME7gs5pBh2WIwiYja8uQTa3m82bZFbN6odSeqkK8jUHZ0dcOyDYwTJK2zBCIT+XMsyYgbsN/yiTN5hjdGeMMDM2fvitjjsXZOaPhjY9e0LhPjGnLbA9fM+vA8oIwJmDx9W7IiGM5dcCXX355+HOYU045RW3btk3dfffdbdMBE0IIIR2RhDUzM6OGhoaOuk2xWAx/DjM7a0mwIYREAmOUkDbrgF955RX15S9/ecG3382bN6vbb79dtQSY7VyXWXgYN5W2S9CYvWfxqa3ARH+t7FYZZC3MSsyAPIZGEQWQafp6jFmM6KustRPODSWu2CzsU5tU75rNBgCvSyRudw6kMvBq1sD9g3SnnReuBznMZmxilZQ1uSrRWDlCEm2M2mRnW1az9l1CNrJFjsYBDW8O5NW45d4aPyi/oLcz+CJrvuToE4/+5rMQP7gNDMm4B8HgB7O7UULG9Sjl1mcvQ9woLJ+Kn4f1/uSU0cNeOx+81visgsNiVrOPJh6x2KJMkNBIRTPoaAPP5yVJwrrllluU4zhH/QnGf5E9e/aEcvSHPvShcBz4aGzatCl8Uz78s2vXrmM7K0JIU2CMEhLRG/BNN92krr766qNuE4z3Hmbv3r3qkksuUe985zvV3//93y+4/1QqFf4QQloTxighEXXAo6Oj4U8jBG++Qed73nnnqfvuu0+5aLbQIWiyc530YTMDQF/oWAo+g9nIlonoWApRM6/A/U+bx+SwnF8MshUxmzo+LfKb/mHH3AbMkgTJzQVZTuGxcD+YuY2mJZhJiT6+6LmLUhTKaoDm+4sZsiArotRVLzfahh3aLctyubBYv24nnj7m71Eb9sBMXpSdUeJFj/IpMaBxu7rMGdR4LigJZ0WydvDZA/JwvaGPjyUCcRgK4xJnIeC+MGNbQdzjbAM0zsGMaDAfssrFgC1GtSEEiyGSLaaX7Rhw0PlefPHFat26deG478SETKVZuXJlMw5JCCGEtBVN6YC3bNkSJl4FP2vWrNH+zbdYLhJCCCHLiaZ0wME48UJjxe2KNduybpK4TQqpwiR2F2UqPAb6UGseyCjhVozrNaMPkJ80+Re8Wf0ZyPpESRkzk3u6LGUBIcsalp2ixbcZJDotGxK2qYI0htfHA0lLk8bQjxvlOku2pa28WcPSFWXn1qGR78IyZOAVzQYPuiexeYgCS+05lqEOH8w3cJ+YTeyjjIqxhENQeCrYNhx6gfjB/Yfs3iefQQMRiCHEAWUeM7w12RnlYnhW4bNH2yeefwy2L5UWJSPbhoXaTXZGOm9glhBCCGkD2AETQgghEcByhIukIYOHOrBUIcoufiPZgeipasskR1kLshJxjygVaZnVIDNZszjRH7ZSNWdAQjY1Zi9rGZ0og2sZltAckM19zM7E7GvbtcXjopFKB2ZPkgbB73uR5QtRmkbJ2oWZDNrQiE3KhkxeTSLGYR4w4tGNQcxmNzi85KHcXTes5SgYzsJnDMYlZHV7OIsCh7xs/usoI9uGzvB84Do6FrnfSgfOQOAbMCGEEBIB7IAJIYSQCFieEvQSSRk2v+d66n2ijfvCyeeW0mood2nbg0yN8pgmccM+0bxC83UFyRelKNxG2x4kaJS3cBI+llzUsiRR3oP2oKRsk/ttcpWeoY4f6LzsSdIcs45GDFhwqCOGBjEwxbIKphlaTGIb0CN5Gjyfcaom+l3jrACYLaBlItdJ1rZZGzichRnbOJylxSUeG4d6Gnibs80W8RdbArRDZGeEb8CEEEJIBLADJoQQQiJgeUrQSyRlHM2IA8udoRxqk4RQDrVlTWvluCzZhNbzxG38ojmTGY5ru0beoUmznGSRpXC9LtNXF5S39GtYPa5hAEIWPSRlWY9lSKso39ruS0umsBY/EIeaZO3A0A76p6N8bTnuEcBnPDSwAU9qNBnB5402LIbZ0YDN5IbY4RswIYQQEgHsgAkhhJAIWJ4SdDM4ohyh+W8ba+YfZlnafIwt2dQ2KVzzqYWMRpSKXJSsUBIHORezl3X5yS7B1z6bg/KCmNGJ59WI7Owc+/XsxOxJsoTY7o8GSudZt3cS5pjB2QgYh5ZhGJsftU1qxngLt7PNKrDMQtAzpZ0FTUa0Z1IDntqL9tjvcPgGTAghhEQAO2BCCCEkAihBN4vFyp6LlLswE1Pzl0YZ2SInYXYjmnXYjD7ws41kcWseyyg72+RlNPGwKsoLZ0RrUHYmTcqCbkRS1e9v872Lsx00b2ZbKT+cBYFmN0czr7GU/NPKMWoHtBhlOP7CZiXHYXLjL9OhJL4BE0IIIRHADpgQQgiJAErQbYpVQgIaKbenydSL3N7GouXlBsw0llNmJGntLOjFS9kJo5RrNbGwlcy0lfizZCIfdUjKMsSkzcBYbLnOZkjEfufJzgjfgAkhhJAIYAdMCCGERAAl6FbkeDL/MIuxERnZmvV47JPqF9tmysukI1hk2UubsY413vC5cJzZwdp+0dTDsl/rMFGHS8TNhm/AhBBCSASwAyaEEEIigBJ0K7JU2ZdLdCxb9nKrGSQQ0q5YvZAXe68fixxtGQKKLO6XEXwDJoQQQiKAHTAhhBASAZSgOwGbPGvb5nj2fzwslZxG2Zl0GA2VOIwSDvs0Bb4BE0IIIRHADpgQQgiJAErQnUYry0PNaBulMbIcOdH3PWOrKfANmBBCCIkAdsCEEEJIBFCC7jSWmyS7HM6RkHp433cEfAMmhBBCIoAdMCGEEBIBlKA7DUpThBDSFvANmBBCCOnEDrhYLKpzzz1XOY6jfvnLXzb7cIQQQkhb0PQO+NOf/rRavXp1sw9DCCGEtBVN7YC/853vqO9973vqjjvuaOZhCCGEkLajaUlY4+Pj6rrrrlOPPPKI6urqaliuDn4OMzMzE/6/ospK+c1qKSGtTXj/B/l1fvRBwBglZAnj028Cnuf5l19+uf8Xf/EX4e/bt28PWub/4he/OOrnbrvttnA7/vCHP0f+vPrqq37UMEb5wx+1ZPHpBP9ptLO+5ZZb1Be+8IWjbvPCCy+EsvM3vvEN9eSTT6pYLKZ27NihNmzYoH7xi1+ECVmN/nU9PT2t1q1bp3bu3Kn6+/tVOzI7O6tOPvlktWvXLtXX16faDbY/eoK3zLVr16qpqSk1MDAQaVs6LUbb/f5o9/Z3wjkcT3wuSoK+6aab1NVXX33UbU455RT1gx/8QD399NMqlUpp/3b++eerj3zkI+prX/ua8bPB9vWfCQgCux2/GCRofzufA9sfPa4b/azBTo3Rdr8/2r39nXAOxxKfi+qAR0dHw5+F+Nu//Vv1uc99rvb73r171WWXXaYefvhhdeGFFy66kYQQQkin0ZQkrOB1HOnp6Qn/f+qpp6o1a9Y045CEEEJIWxG9pnUUAqnrtttuM0pe7UK7nwPbHz2tfA6t3LZGYPujJ9Xm53A87V9UEhYhhBBClsEbMCGEENKpsAMmhBBCIoAdMCGEEBIB7IAJIYSQCGAHTAghhERA23XA7VpfOLDjvPbaa0NLzkwmE86JDlLXS6WSalXuuusutX79epVOp0MDlWeeeUa1C5s3b1YXXHCB6u3tVWNjY+qKK65Q27ZtU+3K5z//+fCev/HGG1Wr044x2o7xGcAYbe8YbbsOuF3rC7/44ovK8zx17733queee0596UtfUvfcc4/6zGc+o1qRwLXsU5/6VPgQ+vnPf67e8pa3hG5mBw4cUO1A4EN+/fXXq5/+9Kdqy5Ytqlwuq/e9731qfn5etRs/+9nPwvvmnHPOUe1AO8Zou8VnAGO0A2LUbyO+/e1v+2eeeab/3HPPNVRdqdX54he/6G/YsMFvRTZu3Ohff/31td+r1aq/evVqf/PmzX47cuDAgfCeefLJJ/12Ym5uzj/99NP9LVu2+O95z3v8T37yk34r00kx2srxGcAYbf8YbZs34MP1hf/pn/6p4frC7VBFY2hoSLUagey2detWdemll2pG48HvQZGNduRw3dpWvN5HI3hDeP/73699F61Kp8Voq8ZnAGO0M2K0KV7QS01g1hVUYfr4xz8eVlQKxmvanVdeeUV9+ctfVnfccYdqNQ4ePKiq1apasWKFtj74PZDq2o1AWgzGZS666CJ19tlnq3bhoYceCqXFQN5qdTotRls5PgMYo50Ro5G+AQf1hYNB66P9BDdTEAhzc3Nq06ZNqtVo9ByQPXv2qMsvv1x96EMfCt8YSPP/Qn322WfDYGkXgtqon/zkJ9UDDzwQJthERbvHKOOzPbh+mcZopF7QExMT6tChQwvWF/7whz+s/u3f/i0MlsMEf/3FYrGj1hdupXNIJpO10owXX3yxevvb367uv//+lqjxapK3Agnxn//5n8PMxMNcddVVYQH2Rx99VLULN9xwQ9jep556KsxwbRceeeQR9Tu/8zvhPY73fBADwT0TZBrjvzWLdo/RTozPAMZoZ8RoWxRj2Llzp5qdnT2ivnBw8wWp9+1S4jD4y/qSSy5R5513nvr6179+Qh6gx0pwXTdu3Bi+2RyWiIIyk0GwBG8VrU5wW3/iE59Q3/zmN9UTTzyhTj/9dNVOBG+Tr7/+urbummuuUWeeeaa6+eabW06m64QYbaf4DGCMtn+MtsUYcCfUFw6CO/jLet26deG4UvCX+WFWrlypWo1gekPw13QwnhcE+Z133hlODwhusHaRtB588MHwL+tgnuH+/fvD9f39/eE8z1YnaHN9AHd3d6vh4eGW63w7IUbbLT4DGKPtH6Nt0QF3AsE8tyCxI/ipfyC1oghx5ZVXhg+hW2+9NQyMwFjh8ccfPyLpo1W5++67w/8HD1XkvvvuC5OFCGnn+AxgjLY/bSFBE0IIIZ1Ga2YYEEIIIR0OO2BCCCEkAtgBE0IIIRHADpgQQgiJAHbAhBBCSASwAyaEEEIigB0wIYQQEgHsgAkhhJAIYAdMCCGERAA7YEIIISQC2AETQggh6sTz/wEfKrYhUHkigAAAAABJRU5ErkJggg==", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], "source": [ "with torch.no_grad():\n", - " x_model = dist.sample(100_000)\n", - " x_prior = prior.rsample((x_model.shape[0],))\n", + " x_model = model_dist.sample(100_000)\n", + " x_prior = targ_dist.rsample((x_model.shape[0],))\n", "\n", " plot_xmax = 4.0\n", " plot_limits = 2 * [(-plot_xmax, plot_xmax)]\n", @@ -264,7 +183,9 @@ " axs[0].set_title(\"Model\", fontsize=\"medium\")\n", " axs[1].set_title(\"Prior\", fontsize=\"medium\")\n", " plt.show()" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -276,21 +197,8 @@ }, { "cell_type": "code", - "execution_count": 9, "id": "5bad2980", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], "source": [ "with torch.no_grad():\n", " grid_shape = (50, 50)\n", @@ -302,8 +210,8 @@ " slice_points = torch.zeros((grid_points.shape[0], ndim - 2))\n", " grid_points = torch.hstack([grid_points, slice_points])\n", "\n", - " grid_values_model = torch.exp(dist.log_prob(grid_points)).reshape(grid_shape)\n", - " grid_values_prior = torch.exp(prior.log_prob(grid_points)).reshape(grid_shape)\n", + " grid_values_model = torch.exp(model_dist.log_prob(grid_points)).reshape(grid_shape)\n", + " grid_values_prior = torch.exp(targ_dist.log_prob(grid_points)).reshape(grid_shape)\n", "\n", " fig, axs = plt.subplots(ncols=2, sharex=True, sharey=True, figsize=(5.5, 2.5))\n", " for ax, grid_values in zip(axs, [grid_values_model, grid_values_prior]):\n", @@ -311,15 +219,17 @@ " axs[0].set_title(\"Model\", fontsize=\"medium\")\n", " axs[1].set_title(\"Prior\", fontsize=\"medium\")\n", " plt.show()" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "code", - "execution_count": null, "id": "499f4096", "metadata": {}, + "source": [], "outputs": [], - "source": [] + "execution_count": null } ], "metadata": { diff --git a/docs/examples/kl/kl_nsf_rings.ipynb b/docs/examples/kl/kl_nsf_rings.ipynb index 62f6241..e45ceb2 100644 --- a/docs/examples/kl/kl_nsf_rings.ipynb +++ b/docs/examples/kl/kl_nsf_rings.ipynb @@ -10,77 +10,48 @@ }, { "cell_type": "code", - "execution_count": 1, "id": "8f899f1d", "metadata": {}, - "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import torch\n", "\n", "from gpsr.beams import NSFDist" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "code", - "execution_count": 2, "id": "eabffd5d", "metadata": {}, - "outputs": [], "source": [ - "class Prior:\n", + "class TargetDist:\n", " def log_prob(self, x: torch.Tensor) -> torch.Tensor:\n", " x1 = x[:, 0]\n", " x2 = x[:, 1]\n", " return torch.sin(torch.pi * x1) - 2 * (x1**2 + x2**2 - 2.0) ** 2" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "code", - "execution_count": 3, "id": "ed6f9f69", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0 tensor(6.3924, grad_fn=)\n", - "10 tensor(-0.1136, grad_fn=)\n", - "20 tensor(-0.5151, grad_fn=)\n", - "30 tensor(-0.8193, grad_fn=)\n", - "40 tensor(-1.2069, grad_fn=)\n", - "50 tensor(-1.4203, grad_fn=)\n", - "60 tensor(-1.4882, grad_fn=)\n", - "70 tensor(-1.5201, grad_fn=)\n", - "80 tensor(-1.5678, grad_fn=)\n", - "90 tensor(-1.5753, grad_fn=)\n", - "100 tensor(-1.5831, grad_fn=)\n", - "110 tensor(-1.5846, grad_fn=)\n", - "120 tensor(-1.5980, grad_fn=)\n", - "130 tensor(-1.5953, grad_fn=)\n", - "140 tensor(-1.5973, grad_fn=)\n", - "150 tensor(-1.5994, grad_fn=)\n", - "160 tensor(-1.5954, grad_fn=)\n", - "170 tensor(-1.6001, grad_fn=)\n", - "180 tensor(-1.6017, grad_fn=)\n", - "190 tensor(-1.5951, grad_fn=)\n" - ] - } - ], "source": [ "ndim = 2\n", "nsamp = 10_000\n", "\n", - "prior = Prior()\n", + "targ_dist = TargetDist()\n", "\n", - "dist = NSFDist(width=64, depth=3, layers=3, ndim=ndim)\n", - "optimizer = torch.optim.Adam(dist.parameters(), lr=0.01)\n", + "model_dist = NSFDist(width=64, depth=3, layers=3, ndim=ndim)\n", + "optimizer = torch.optim.Adam(model_dist.parameters(), lr=0.01)\n", "\n", "history = {\"loss\": []}\n", "\n", "for iteration in range(200):\n", - " loss = -dist.entropy(nsamp, prior=prior)\n", + " loss = -model_dist.entropy(nsamp, prior=targ_dist)\n", " loss.backward()\n", " optimizer.step()\n", " optimizer.zero_grad()\n", @@ -89,50 +60,28 @@ "\n", " if iteration % 10 == 0:\n", " print(iteration, loss)" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "code", - "execution_count": 4, "id": "664c404d", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], "source": [ "fig, ax = plt.subplots(figsize=(3.0, 2.0))\n", "ax.plot(history[\"loss\"])\n", "ax.set_xlabel(\"Iteration\")\n", "ax.set_ylabel(\"Loss\")\n", "plt.show()" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "code", - "execution_count": 5, "id": "2203c1b5", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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bf8YqQzAOErJzUkmOl6QC/qnya3ROcZsYb/KmyCEpdy+smqDHxjaL8aOjJ9N0UWpxnoCXvWExztm2UcBU6blLhSKGEl4Q4IIGAAAAMgAW8DInXTTD5oIY2qU8OkTUlEFVSTFnLNp4tEhOVeb3dUuBTL7nSfaBujmnyOm19EzcJrsjrU47SshT+YNMY0KO3TqRpbxPnTE1y7cTeuol2YrufxfeT58Zf1SM/0dpF70U7RDjf6udSh/e9EMx/lburTRZWSvGU5tdGnWkxV7sJmQ15fWSH5FlchDh6gIDQKpQhgl+DAKy2FvFcBCkzixga1aVihSWbvo08xQt0jItX5DJ57XDhGy1gmN3EnJa8jj+GbalXNc70gvW7HrkWVKm1jkRTSi5e6t3gE5w/0uMh90m/V/7p8S4Yo1Ks5qJi5TXHrfU9fE3gDt6YYACXu6CzcpXrw/5vlS8vG5z/LBZu2Xh1In3dsgCoSKcOb1IyUc8nCcrVOlJHSU8Kt1IvoeFuUtOS61dxT2Bb6xxqCW9UlR6SQn4CRbZ49IF/ejuU2i1J11eb8/tonGnKsZrvFkKE3n8u1e9Sl/fpBartueoNarc0a2eO9raP0O2GnM0t24AASEHy36t1/fkBJkp5ClRWQacLhT7yo2sXMjieJ54qsmxFcWU6AyBLleiUvIQsdZVSjdJekqwT1n3CuKwwk4cqez3ODJt4Wl3vVj7ZXwrotN9uR48audooyvzF3669CJNrpHPlUdaPtVbUkk7HY/sSK4ZB1wxL/X5+tmAifKbAy5oAAAAIANgAS9TTNGKYl7mzfJEc2yYKptHTCCGHcqZde5AaDoDpl1b3YJH3gFVbq7ZoUTPxB2LrJbKvfVdcvepvL9CQJ4cUlTyqa2s1NIudg3LW6UjJ8rkz9jUKsh9BzolenF8XIxfaa6ic4ZfEuMN3hTttuT1VqIcDZdlXejZ1R61puW5o7xPTktaC14Uk6XrSDeaZKdqR6OTEliObmdbZx+w9TsshaNbLlA0JOW3m7ONK5mNWS4HyTidmOy2snS15Sve0O2NU5au1eHAK/W5HYfsjvZaueY5wD/tUH5WS7mgX+mMU60tx3vHh2jb8HYx3hzspqKyrmOyaU0gBX/tSIVeGVfu66pHXkMtf7WL5KulKl4mMnLaUVawuF5YwkcLFPAyQruzRFENX6UblYomMb+9tmQq3NTWWVTaLd/XWMNKTN78Xj2mWClvtxFRVJZrUS4Ljar9KipfKaVuv7pP1JMVnzXdEQqf8Wstcms5o9RjV7rX3KZ8CDSTnrurvSakf//x28R47ZpZqnfl5581/Aq92JiQ1xsFtHZIuqYrxQLVN8jzDL1sUTisriUqkKsKxBMXADA9hjuolgWWDSba2fek4hWT4xGKVJ309qhHYTGVTaBuWaedkApYJurwZFMpWM5O0MtDvLaqKtOJe10rYa7fbpalHLJ0TeemS05LntVteuQ25bPCbej4DY9mqjLd6NGZAr0wLuXxpOEpOj4v3dG8RjzZUW5nKyanIM/dKXvUGpXf1avzM0Z+V4eL/XCzFnGN6SYrvR7i4MiACxoAAADIAFjAywlt5XFEZU5an/HqsnAHM1wmsjGu8gUdWSxDRy9r1xOXkMxNtk1hDXtKWp2kai+L97bbvRkso8rN9QV3ODbZukZ03qfSy3IcDcvrys24FBbk9dYnPYpU06N9U+O0Z0y6nfdtLNGILwM9GpFHP9klZ99JxIFf8nhOH9YBWW7dIbssZ9miUIeKiGZXdK9Dy5v7EwPwZkjn+NqlorB8mc7aIWquUR6hsk2RCoJm69dVjidbu5Z1EJayem1u56k9P/xT58Kzmzctk3p5yU4Ff7ku2coCths+OU15bV5N7vNrDvlVKaetmTztnpLert2jIzRUlhc2lGuTpdzR1VZASawyKvyEwoIct4dtcuvyvXaTAzrV9XIgmbHkQ8jnUQIFvFyKbHAKg+7x6XsUHyerRjWOL1BztXJNc/670tFcGEMrvcI+jqhUNZqbsVC84viZulG8ot2YLv7OBS/0x1s2xSoNyOIUCZ1eYKdcXjWHLLW+5U/LdCZ3rER59Zl+pUjtUXnt+f0WNdbKh8C22fVmbVpcgyriYbdt8qo6dUJOJuR3skVEqPnT6DrW3Mu4porF8zXBzQWyXPctqGjn0bJQvExtvU9NNTkOVZwE4zR5vVe9SKi3dtuOyGrq5ZYOkY74D1mJaQXci4juvxarvzdwRyngVpvslpQZh2uyC1d0QH5VKeOKQ+1pVTd6JEf1sjy2UuoSBSmZaqtnUreXkcSTfZ7ci3MWA3JV3IaYyKcaNphe35DRIwIuaAAAACADYAEvk2hnjvJ1hlTd5NVjwvJlGhMuNVfLY7nknCkJqV6Lc0Q8y1bW6GyH7IryeXH3Iz07tS1K6srS5QAvZenG3a5pDUicc6wtYMemJFX2UndSEu9VbmFtFbC3TbunEsem/H55W7HlruKxqLGWrWN1KXMDmtWk2Wl1Tek9Gi6SpV3j7a4pRsINw80YkdFgiTAuX/bKqFrr4cSQsHyZ2nqL2qtUVLGXkN1Wy0MdruPaC8Lie1zsb4Zk6e5kLH/KBZ2kLEqRGzyfBSwupNdJScustIblebRb2m+GRja9mk9BRbnJZ21qDyuLveRSN9//TBHnCNlVrl9wmUop7928S3ZBuaPZcjfuaI6ORn7w0QAFnCWWbZSIXSoRqfWkcE2JGuPyv6ZyEr+Wx1h+l+y9StG5CXkVtbYzatOqnVK5uvurZk03aTTkGo1wQbMvTKUh6fUmUSDeNdW1WIC0C0mIZioNyFKHJE2dihDLFod87fUWeaq4R5L3KHGVeypOKPa0O8uWvUmF26rnduaJg1+TnxnlHZPu5HCyP0eAM51Q1xroWw8GYMkKbugqV4U8xWNSATfWBkLxivHxXbKGlRLt2pRMqyyGLpGr0o3cRpechpJlrmKn5ZQVsFKi4t5WMptWYMa1m+4pLI6P5QycYflWsR2WlvEwIluNvZZPTiOljGd1amGqj3BOxmVo9Kl5EqFllhWxq1ojcgaF+az0erCQ0zf01z6mgAsaAAAAyABYwBnSVz+2PGTcTe0Rjyony2PCdR1628bXxHh/o0gz2gK2etGVpdcicmqtXuSkdimLGWlqFq3dyymXGrt05w2c4DxfbQ1z9xXtFtMuLg7YmplVJ7NM7Vv+GShr2B3KUXuVbvodU1eVy2TLOB2cFZaUlczR0dN69p/02i16rgkaEwFkcSqCG/nBYJHp6240PEStCbk8VD3eFpYvk1vboMCXslGt5slSvlwOwHIb2gKOyGootzNbv9oFzfe0zkpIeaEOdU/3WZYcvaxfs4zqFofaS8RuYeUitto+OW2dPxySo1zTnCscFeX7OOq5G6go6FQtas60MELoWKa8ph14ZlmKA7IS447mDk8IyHo9oICzRKyj9iKTO5tkNSkutuFr3faWDg17UqGuWz1L/z4qa7w60y7lD8gbPJhsk9VQSne22lOWLAxKsIVQp1zKfe7ltEtLr+GwkutTyP1CFNdqvYeSaHWoXF/NlnEXu63QNHrgdaOomFpgUnBqVX6ffG83b1NUUEUFuomoKCS+Kz9EtLuOz68nD1hnAkvVaKEgl1W6Y0VqrJWPzcbxCRXWyej8DaMz1IzkvVut5M0asNvgIhaq33YjJKup4xraYvJ78LrvHDl9XbpGfoU86PekFHCfMtZyGgbkqomy3fbJbaio6aIrqneJw31ugdj7JG4CodHVvThmwzwHuECHKvAjJv8o0PG6wAUNAAAAZAAs4IzR1pxsvi3nQ9X1NnWkoUtJ16LXGjI6en/lOLJV4ERpu0W5KeUO5pmstqS54bfOKezOH7AkPjM9I025cc1sOjX75kAxE3msi2PwrNdEPLK1rI7n/Toow7Z6M7w4ZwJQ4pxngrNM3VumGZuZdbfokVtpmUIg2gLm4gdxrd67FrigwRKUnCRVcrK9Okf1tUpG1jXpbeOTYjwe1GhbVebux5FDgVoe8uoJuXVlabL7Wefld8J+t3PaAk7zevc1B3L2BWgpq1OLPf8ubRXrDky8NKUK7dhsuaasYa4hLw4PHFFzXpzPTa0ZdXkJSe+3TY15q+Mad7TwvrEbWr7h8N/hGAYKOENE39Cy7PMXj5epfpx05YRlouQkqWQ8r0vjeTnetXeUSjuUa6vFDRGkMAvh0UqJFZVpG5ZKjE89UISwa8FORWIbZabem1Zu+hitiNPn5vOa9eX053Fd6Uq1V9lKuaf4enntSBzuOaYWtFePego4sM0xtqp/K4jsXioUv7+t1r4BWKxWg7lAtPNkGqsdaq2VsnPCxAE6dUjGZ3TJphdiuYRETYdcVTfGr8Xk1tMFN1SkdKrSG8tjn+I9msnknGOFu7fva/SikS2WWf1sYAWsPp+Vse7DzYVwTIWuvCeUsDivZ1OSWqrSrQl5X6ILCLF8u2FvnIrmRkT0/MAFDQAAAGQALOAsETl8qn3YmiLVjpfjznEhrRqSPqwL1r1IP6mqmXVC1Fwrh2PfjsiuKwt4cpoSFVEpZ9Zy5hmzaynlUj5kUIcONuHZ7Ovk2Bpr2fXMsZbt9gIueAatrWR2s6kZv5X6nDhXJFsFo9iRS46KjubyfNr95VXCXsszy6JkqGCCvIyFz+UyTUAWpthggdHLQ0FAoeoq1hqzyJqQXpd3jL5GJ+akC/qV9mqqd1SN6IZNnuy8SW6dAwjVkhBnHBi3c793yvBml1JSnq1ekGUvGMpS7uAkbcXyMSZQi61hVS6TLWMVWMZRz3rZSCx39dWNTy1/pWpUJw4iol8PKOAMEa5UVe+4ssmj5hp5k04cN0PnTrwixteseox+r/XfxDiZ5TQC9eb02qlO5mdSQs31pWO9HpxOPZqrrLTy7M7jhp5HSZtzqN+Lz0i/L1UbVkdIiuhlJdjiKpRLmfsRO23tI7PMmnCcc8ityv2x7xpXjXDbcwoU02imUquggMHCwfe5qADH5HPUKauWoKuIjlst2/i9vbibxl25xPJCcy3VVB1mr2aJtV+TeqR6b4s6zzpNR7QaPDgrYcHoK+KRWotV+X/8b7rojqkNn/4biFaDqn577JKlQqK52p2uSS8P1A1iUn8zp+fCl0XsU5HawAAXNAAAAJABsICzQFuLnivyCplujsg7QUZunDWxg/776FNi/H8q76JtM7IYtDXSIfdV6QpLPKuX+8uzVB0FnfQn8qfrJpv96Y5Cc4KtDjkTT1vJypqebzZ7UE5x2trWtaVLBfZRibF9oNpzL3MnpFLOREHrZH9xnC5gwO+dVS0WOT9Tf17KJQ43F1iQICzlvYkLgWgxyHTGunTy8JQYn+zvNYfXugG1m1LW8pz721BuXLZ+zfJQL1vgsEtCC0064NJ8ZpcsJV58XVpqhWs69VYz5lNoseJ67W7PdtMR0cIzpYMl2RLWFjD/1LKJbmZ9wAIGAAAAMgAWcIZY+byp/NQNiKKO/O/48OhTNNmV6UlMOScDsirPyob2jM3djzggSTRdaPYaLMxJD5oblDEv881IX2emerh1ZEvPjtPv52tSuYTJbJUslVfJa0XmkMAzudBOi6sDKWvBsykuqu4r3OlJle+kpvwbimPqDcyswZsnHeugrLm44FFHdQ5yRjr01qK0fMedGk12ZWOG2TBP3Yaq4sZ9T5oq37Ydzl+V6jBV5haNtLcrvQYsUpVUQKVKLRJj7VXTY/3W9KNk7lqwlme7twYsLGTzuVgETgMFnAVaWdUbJgCpM0z0gVOeF+O1TpXep5Tu/5x9K71WGTbtwQqTSmhYeHTSO0crmmhnO5WMP+dmP1TRiqMpZpE+dr73sZvLREdbptweu8J7bQ97CfvcZomjuMVweIjsmvze3dES2fzwEjVpUz0YxQ71Nwh8ilWe8VF/DwAOBysPlbfeLbgUqsZcQ0NNOsGXfTVH7JB2RfIROtPOk91Uk8cm5+krGeBSrLocbCrfd8ncz4fgkNHRHAipAxtZnnTAYxj2FHJKMaejsYSiVcdbrIiVMhau6XS5TGCACxoAAADIAFjAWbq5RsoUqxzYbj6htgrzf4efp22RDMhaG1Sosl+6ufwy0aofqU5DXN5OlWcUAVE6vzB1fpN7pzlE+ck+N3U6OGuea57PupQBWSnX2iHc3cblJYrPp7oeKTeycKnnApNbGKncS6feMTNrbtDgNFSdP96XtrY5iAuAhYCtOeWl4T7VkVoxOa5Qp7Wu7JSSsyxqxPJ+rYZBrwFDOyG7Ex9UZrIvd1a8zuB+nScgS7igVaqSSBVUssbXbelykhFbtLpaVs8yTvgZoy1i3mWnPAh6vxinaw0s0XcdAKCAM8DWSsZzqVPWrliiMV+Wk3ykZVE1luu9P6lPkOWrbiptzyTsCdeWdg/paMPDFdOYExF91MI/3/HpbifzHtsTPFPAQ1xkqisSK2M9eQj8Xt5hvS1bHqp6s2ItTa9FqdaHXMvWKknfYFJv9tacFiOvEhxb9Z/5XlL3U9e3xASZWZ1r0Aj7mJWuaSXyXm52PHKUArZDLmChZJDvbe1uXk735aEmyiKGRK1fizVrHcncK10p9ukiOem+ouJNKTe1fi6lXdagD7igAQAAgJWogG+77TbatGkT5XI5Ovfcc+mJJ56gYx3RX5TdtjpnTlSRSahgd8QWJg7t7IyJ7ZXqKCUNV27sIfYssTnVpox+Znes7gqk3Ep9OYbpijucC8yW6KEioudzUR/2i8jPPOh9+lp0tSwVma2/t8UVuppNsXHzCK4OJHsXd6VbvdUWBeE5z1nkOicJdYdyYhMzbxFVaRE1GmRxviZvuaD3vZeLlQEGF+5O5koZjX1uQJ+Irew1qWiFYmNasSe2duSKgk9iYxHjkqy8JMIuXR39vEzvSyMzZvlJVcBKEkpEA4dYyl1qv976upml0TIqArNSW/oZARZXAd9///30mc98hm6++WZ66qmn6PTTT6eLLrqI9u3bR8c0yr2V5FwKC5bYrG7PTfP95kbRXYW3NYUa5VY1xRZ7HP0sN6o1yCoPiU22NlPKlV3NStEdkcKc+3vNkTws5q4f63PrTSlh3kT7Qv22TkdERoroSI66zOXEJoRaRU8m6nfi92GXnEpTbELg9QPN9835k2bz0N8bgDcC1zh2LIodnvQmYss7HcpZsdhIuaB5CyOHLJ4H88qQuEfVNnfdd5kjlHG6haEe8/foG6cKc6RKVvYp3vmA4u1jUf8af/Znf0ZXXXUVXXHFFXTqqafSHXfcQYVCgb7yla8s5scCAAAAx24QVqfToSeffJJuvPFGs4+Dai688EL6zne+M+972u222DSVSoVWHKkZoD1dpy6HNnNcw1BEHxh+VozPzyX08VffK8atyKVWTQZtOfmE6mukhVco5CmZnDr4vKL35iHCDFNW7byNGY42D/gojtGWqvjenmuaKIh8YD1b5pJ9uqwdu9Z1IwffJaupcoILPtmqAAnnJqZLXZpcaJS7WzRWvIyaDIKeFSdSXW1p4Xl23Ge1xCoPNk4sEack39DrNDTIiPoCNI+Vy65nXVJT/DyUtZvaj0CspbWA9+/fT91ul9asWdO3n1/v2bNn3vds2bKFyuWy2TZs2EArEV6vFGuWpRy5rURszEOzZ4htR1SlXY2y2KLEpqDUFhuj15mEq1atq8xblSrlBp7P7ZNWiEfFfPWi067nuftT73OKBbH1wYpYR0Lr6HBxfGK+H9eBttpyEzWhWTHzJgp6+LJmb8rdDeW7eBwrMgrAUrCsHPJsLc/Ozppt586dWV8SACAFZBSAAXBBr169mhzHob17ex1DGH69dq3qKj+HIAjEtpIRebq6kEQyQt1AuVwji1Z5sqzi3m6Ofn7ND8T4OzMn00td2Q2pW2Ar0+41ztbNr3VZR9UXWAc8iT69S2ENHqos5dzDdG9i0WlGXXMq35JLc1rDsugI2Y4MxBI5zyElnCMs9rN7WrlA+XypSHKT7O/MU4YTLAgrXkbnRgKLsq8sTFJOw9g2sUeMrYKxbCvpVWXkEux6KYUGF9N3W7xIBVZZlvl+h3Utp93wK8AlP1AWsO/7dOaZZ9I3v/lNsy+OY/H6Pe95Dx3TcDMBzyWr1iS/EovNatv0cmNcbJU4R9NRUWyv1EbJshKxuTXWPlKqY07J0ULRjWUkNDdkSLtijzSVaCFIu7znnl8X45gvTUhUxZJRzUIps0uaN46Eznty8z3RjIE3EQWtXdDFYu9ByS55nfIE5QsWAhXJzFHNVsjR+BY1uz61EltsTM4Kxea5XUp44sc1KlT0tNgGbO3TmpsypMfpdCLdmMFMOFLfM52mNB9YHlq6SlicgnTZZZfRWWedReeccw7deuutVK/XRVQ0AAAAcCyzqAr40ksvpcnJSbrppptE4NUZZ5xBDz/88EGBWccSwgqsSxe0NTxMflXXcPaoGknX3tbKaVSJZLlFz+5SLpARwJWhngs6Dlyydc4rByp58r1dduPq2etci/T18n8XYnaa+kxzHfN9nnafszdAu5fZ8lWtBpNCYMpPsiXBpSnFflGKUh5vHaj0ZtqpWth9takBeCPEvXKS3PrT7tim7WBdlZ8cow7luOoGu+bdiFrqacr5+lw+VSDy2nVJRt63/O5LIafp50TKvcxFbgQ6L39uhDhb+fORtoLTecXid7CCl6wW9DXXXCM20LvZLV3LmCODuakCDwOHolgK6kxYoHFfrQf7w9TOy/+mijVMql+DFPDykDxno0lxrWZSfOJUO7Fem8IjXINZCGWc7g2crlOtlS5HO2sFyW5nfW2FfJ/rqjusmjTwc6wqU4+4KAdVe2kwiU5J4nND6YI3iWkXKBoRqBrsnYScppSj/a0CzXTlfXm8KMohFXDeD+lAIN8bc7U6HZvguv3u3OXSF/dQS0/imZGqMZ/q72smEiID4+B0rbmpSr3ex1j/HYgoaAAAAOBYAd2QsnBBK6vNKuTJUl1FcrtcemGdjHb+hU0/oBN8WWRjKizSnrq0dCnoUuw7PddPSzW755KUTRVZrazguQ3AD3NBh3/9BmbU81ndohOTtgTYutCRtKqbkUBdt3ivbZPdUC5o16YkkG4/qx0R6e8a9zq3xFw/er7iIgC8Edhq46BGvv2aXXIb8t6cahRpTySL55zszVDBlt6YIa9NsbKAo8A2bUbZajT35dyArIVc+nkTcpr2lAnrVkdwpzIURLaB/h4sj9r1nP5O6fKUIh9fyX8qN/+IPXHHCFDAWbigVcEJkXajipn7FaLZXVKwX107Snvaw2J8Un4/vVaQ+2fKeeqU5PpnlHPIHZXKy56c7bXlq8mWhoYjEO4+xfVGHgqpylOsaE3rQRZs1QJRvk71B00V3TApRmLtV63vdiJRAUt+2ZgSr7febd6r07nm60kMwJuB7yWutMa3ayMir676/lbztKMjJ8o/Fewm35LLPSNBk+K8vO+6eVvIJ+P5DlnshtZyJqroyDZ+WSqj9LqvGOvlIXYt64lwSumSx9kI6jnhOZSY+JOe0rW5QpZuUyiaUGilK5uxgIOBCxoAAADIAFjAWbigVUEKe6RMlorudTpEdkPOh74/uY4+cfK3xXgyGqLj8rNiPD2cp/2+tIwtrjfbUrPpuDfbFDNWPdvk/GEdjalaAuqxQbcN7F3gQdectmrntZbT+6PQWL18TKy/K5eM1IU1uBylDkRzbFFoQxxfzJno0cTxTCEOh6Oh01NFFWTGec8mYESU5DyS/wEADkPaVaqjoBsh+RUpO90Zn16oyyyOswqqaAyRaFPoFOR9HOVdYQWL8wReLxAx7dIVsqhu2KWqXT4n8KrPBW1cza6x2Nnq1RkKCddvV/vZ+jVR3qJQSap4iX4OsdWbDsKCV2peoICXGtFbU0Va1upSGRFR8bUuhUUpBAeOK9GBSAr3Om+Gvjd7ghhvKM3Q7pHjxDgq2KKdIWPFRROxya6zOGwbATMR0fqz57ue13E7p3sIz6usVR/iuYJt+bnUxCCdDsWzB6vnzlJu52go6FtTskP53mgkT94eVfSf+wWrlCN+UOjrQR9gsKDwhFVPHhttCmblveUfcGhbZZUYbyuvoeO9aTEuOW0K8koBF/IUFlS6YM4jWykxq9025xQykhxlhsICrvsKhatd0Oxy1m5yzkrQrUMDn5Kcmkz7rlkSSkS7UHU+LlJi0o1iM2kxBXaYo234cgwBFzQAAACQAbCAs0BZg0kUkaUCPYLpkIJpaQHXqh5Vu9JF+3RlA/3calkX+h/3vpvstpzBRuziUtZinPPJzquc2VQ0MM820+Mkto+8QEfaLTafqznlgk7nHvcFXfEsOBWAYpWl+5yDqEQpTXGixMys2a2ecC83njSrIBbGrbSEC0wcw/+odngJfyftjtaBXwAs1FKR9rQ0W+TPynEw5dBr+0fE+Mdj68gvqf12RKWcvC+nSgmFRSWnBZccZUVaTY8sdusK+WEZVLWm7TmyuSTRzr3obNlVTMktW786SDTnmewDzr6IvVTur66TzUGk6bEuiMPlcVPeKQRhzQ8U8FLD7lq15mlz5DK7VPk/YqZFuWl5s7szPeVTCwN6R/CqGN8Xn02dVfKmjl2bwrKqllVpEylBkZV3lKBE87QInBsxPLddoSlGn1LefM1KwekHhTiHEipWvqbIBq/Fqv02r/NqxVkoEJUKJh1DX7vTisx6UlhyyW3I6+Ia99oFHed9cvi7MFNVo3RjduGnHi5wb4EFRctIu03erEwdzB3wqb5PKqgfjh9Hw66MxO+STUVfupcnCzGFBSkPUdEhP6dc0BwHwT2vhRs3JCtVsMbwZu/j+dZ554t25omxlk1OCdQKmNukaqWb96gb6MhndjsfvDwkv7yuRidruovjhQu69yyBbM4PXNAAAABABsACXmrETFDNKjkgQ80q7VaHgmlp2TnNgB569VQxftf4LtoWjovx6qAugkCY5iqi/JTKNeT4JBX8wPWlLUfmAsezlTmuqFSE53xWb8oaFpassZJTx5t831xvBh8nfa5pWwWWiVqy2jXuutQdllZvNOSb2XR7daBjUajr2yYv2m30gsecSpOslnIx86xau7zYCteuZ8ywwUKS6qqVtNpkV6SlW9hfpPoe+djcMT5Gozm5fzyokaPki/JdikpSHjolm/yitCj9uk/UVu7oKKJE38fi31Qw4ZHUb3+9yObU73tR2LZxgR8UbKXqqyc5n7oFeQxbv1xWU+x3e+e1wkS0TxVjln3tdublNDVOwrA/QBLMCxRwBugb0+o6ptoO1RrkVqWyGnvOo30lGWn5NMuzKvied0LqTMgbfOgV1yiuzliOcrVWT0FpIWO3b6PR+1zlPra5Vm3aBa0mBOqggx4E6XrOfccad5bVE2wWcv1Q4ER+tb+7epga66RiZqF2W6poga4YxIe3YooD+brj+xQc6PRSOSr1XnUv5bY/okpfALzZutCc7laXchTsb1Fxjyx6016Vo+fzcnLcGPUoVLXcbbdLkZp38lpwVJSPWbfgk92S7muhtFT6Dn+KUW8iEOIQE+VD0Kd05zZC4bVek1bkGjkV67xqrTcu+GKZh+Fr7eZsI5u69rz4XqGaHIvlazV5iGKyOupZEkZmeU1OlDEpfj3gggYAAAAyABZwhnCRCtNxJWiTMyOtPK+Wp8Iu+V9zwBuj5vguMX5uZoKsgrSAO8Mu+bXe/Mnk6BUDsqdUziyXhlM1lxMVOXyQy5jHunZzOrKZy86lXcy6PJ22nLmkpnJh6dxGRsy2VZGNpFyiblEe014VUHtEntttJdQZUi66oiW6zYjjhx0qTMrze9WI3CnZ4UkEqqn62fxZfRHPmGWDxcIESXUpUWVPnQN1KuyRMtUa8aial/n6r8Q2Bb4uwUq9utAFy+T3ewWPrGbPAmb3rfko9dMi9upoKzY++mhn7ZVKRzhr2WV51bKZ96lblNcSlTwRLMaEBYu6gcquSLUatKOkpyzaiVkqEt3JtPyz21lldfR5pyCjhwQKOEs40tiW/wVxtUq2ikRk12vpNV0RyqZ/G9ksxrYbk6UiMK0u14OWAhJMJxTpiOjJmhEy0c9UCYdIeVLrTKw4dSSxEHItxFw5SwsrC48RZvkeuV8XfuU6zyqKkl1Z2s1VKlA0Jl104ZBHrVVy//Rmm/L7yAh5z+cmXdJMbpp7sKoI6k6XYvWAsA/M9Lu29J8PTRfAEiCUiS6gUalSbp+Ur6GhIermpYw0qEDtYa18bNOtr+tLJWxSkpoqIprlz1SQio04cIaAZaKHe0IyX6Eb9cLEkaSbJxi3c5BKK8r7RqY4DoOzDpjOkN1Lm8pxhkXv9Lp0tduwyG3r5grcH1k9S7hKna5kxz8R+XxUwAUNAAAAZAAs4CxIzQxNAQuOOq5Kl6u7Y5KKzoT8vZujrprBhkOJmRSHQ1wjWUUSj6aa3neLpo2fnRRM1CXPtLQVafGsWOUj9iXVp+q3WsVeGUmrr6m4mrONDJvI6/TMur06R80xZRVMWNRYp3KFSxEllmvqXuvv4TZMPQKR+6ujLa0wJns2FUA2n2sLgKUgXfCl0ST7gJTTQtGnKKcKypBD7ZYqP+lxZLB6q8PtCbUF7JDbVMGKHd/UUBYBTdoLxcFZto4eTkf8z7mmeVoGirEpqKF+5nN9Vm+nLPe3yza1h+U5whJ3cJKHx6k6Ohz76armam5Let3EN23HvTr0rbZZ3hLLQ4h8PiqggLMmlYxv3MKdDnm7ZI3Z4ahMiSWjh9sjlomu9KtSQOQ4FrWhGTtye2tLjTZRrKSmWCQrr+u0dnsuZZE60HPlWhy5zHC0pHbxslta12jWBdltm6J1QyZdobJRno8LeLVH5aHNDREltl4H4uIbKvI5tFLeNYsKyjXN9WXzu2omulK3G+SCG9oFOLcJBABLgVEs7TZZaqLs7fOoZJoS+GZCHA6lUnb4bdodHVimwpud98hWxWWEvGqFKtL/1BqwqG8+jyLjY9NuZx3ZzHKaimzW9dXDYfn71qgjniFMe4QoLKuqc6UuUZByF7dVE5SqQ05LfZdYKl6xvxmJ+tjypO1eJgdPjtES9KjAkwwAAADIAFjAy4i4rXJ5ZzgYSRXlCHwqvyh314/PU0e5jbq+RV5DzjLDvE35/brEnWVqtlpDObJMHdoOkXYb8aw6HcihG9xzCUttPaejmX1uP6abdKuykcMB1depWXbOovo6+evmCSFZvrwuN4ioPCSt2Kl9w5R4aga90zduZ3ZHc6CKHmus6WovSGWu2xmza5BhRHSscuvtaZt8tSRToiFywp57l4OZ9LKKdt2K6GiV9x4HrvTyaBd0aonHdDZLuaDlgalloFSUsy5DyzXhu0NSmMKSupZRh1pj8jNbqzgbQcnOaIeGylI2h3JtspRAVlsBVWZVydiGY1zpnLngqueNwy1UlXeKc/KNe56vG7J5VEABL9P0JFtl4NiuS64SwqFWSO0JFWFc5MhF3S83ptaYFLjc/g7Fqn6rU+/0kv0LAVlagFNpQ8SVqrTwswtLFbmgnC9aBTIcYc3R2OJzh+UtE+VsGc2s3FmdUbVW5cf0jk0ybWp3bZgOTMk0jeGxOrVD+d72CQlZs/J6h1+2RPQz48+GMq1BXWP3wMyC/l0BeLMIJaPkh5dGbCVTrPbsSMqm2/CMbMZcpEYXmkt3BnUsI18xF5oxLmi7tyQkIol1gESvpjMXuNHNSTj9MFaVqzidqF2W+1ujPaXbmlDnmGjRunHZW/yk4Sk6Pi/ly7O6NNmRcvr87ARVVUEgu8OTfPnWoBLLmvN8KdUmJc3mQWmBWPc9euCCBgAAADIAFvByxLKFFSyYmTUdVLixd05ZiO5InlQ8lkiK59kvw0Ee/qyaoQceJaoQBuftOZyzx3AAlnbv8kxaRTvzbLqrcnjtdiTcZGK/axsLW8/sObqzuYZMdHbxJDmzHs4rNzoRbSpP04iqlbt972rqtuSM393nU/HVXgkCf0Zel797lojrV8/pdGT+FgAsA4yl1wkpUSUq+U71lOVqNwvkKVcwl3Vka1ccw7FWqS5Cuh66xcs6LFAqENEEQs5xP+uuYWw5s2yL8+ddClVRm3aZ3c3ynK3V8m3ttSGtOk7K1Onju+js4e1ivDnYTUVLytWebpn+H50oxj9K1lK3IeU+N8u5+fIa/OkOOdPKHG40euVgufwkCm68YaCAByBNyabeeout1n68VmjcUPFQICITxTF2bw2Y14GCaeVSjuUakYB/rV1eYZe6I2rNx7XM2hE71XRNWK6CwxGU4jTq17NvSShWUdXrT9lHRU8K88lD+2mUc4u4WH1zjF5ujolxqdSkmYaMmnZa7DaX5yntCsk7oAQ7jCierZq/gU7RAmC5Zi7EShFxSpGtJrUOLyE186a5AffSFWMTMS0nzX2VsLSSJqeXOSB26GYItnFZc9YBK14mLDnULiulO2ZRa1xV4For5XHjuil67/jLYnzB0I/odF+6nUftHE3H8tr3dWPa25a9uvfMDJM/KYU8P8mbnBx7U3WimqrH3mialEas+7454IIGAAAAMgAW8HKHLUFdBo/b76mayBy0oV1Vop+RLoqR80xdaC7raHWkFck1mS1lGbN7Wc/GOU/QaSrXdMzRzmrG7bA1LI/hhH2dfxzJWA1KJtrkcFsUIvrQumdoiiuDsGsrv5te7UirtxYF1FSFQFp1n3K75Liwh1spqprP020Z8cznnK308i0xswYD0bJQjTneMambMpOWKXoTkK3cxcKCVVHTXHIyje4uJF/0ZFAfHwu3s7KAc46wfLVsagu4PUYUjcvPXTshl4TeNfYqnVd6QYzZ+p1wpAC3k5BeiWT2w+O1U+iJvSeIcbSzSMOv9rxTwV71naarlGgLOFVwAzL65oACHiD4pu+qNVK72SK7JNdrqVKTNV9FEY9A1mbmY+JEpBAxLq8dqwLqxKlKgcyTcKtt0zCBUyR0sn1rzKWWStpnt3NnRL61M6YLEjh06obXxLjRDajEfmUi+vfpzTTTltp6x8wodTqqFdvOHJW3yc/PT0aU3yEfEEL5qjVudmuZRgsotgEGzB1tlBErJ90jt9mSled0RTk1aRZjrYQ5w0ArXf5p3NG2WBNWL8yaMddO10tBsc/FPdTH5hKyAymfRb9tWpiGan15d9elvV25nPVCOEGPzcoa84/uOplqL0oBH37JovIr8tpzu+tkTUk55Sp9uuKVWBqC4l0Q8JQDAAAAMgAW8IBhOqFwsFW12utupF1Y9QZZqoAGz6q1NcwFNpIR6X7iAgBOVVqsHJily0Jy+zFtAXPz7cJkbLql6Fqx3bpq1u0kZKvk/dfaZXq5Kt3O3dim3TNl+b7JPPn75ex7aAe7nqV1m3utRlZVBl4llapJ5O+LdsYMGwyoO1q071QBVpbDTerVEpLn9boUOaliGqKwhm5B6BgrWfzUtaAtS3RDE4eHtskp5p+6JK3dtihqyfNP1qSsP+seRzNh3ljDBzrSa7atsope3S1l1t8R0OgOeY6hHR0hn+LcU7OmPj1bvyYoErK5YEABDxhmjVQXzBARlV2yXOWTYgWt14lZEauxqLCj1lrF75Ridip1skfk+q3r2ib1KD+ZmLq1XoOLfsj9Xk1q69nNFv1w+/Fi/EMuWRupB0jTITuUxwzvsESzBWb0uQa5Uyplg9sLquYK/BAy3wWCDVaaMmbZ1Io2iihJN04wLmindwwrYlN1zhFKm+G60aZC1tz60Hq5JiHqRPL4al1Ogn84VaRnPFmmLulaRCrFyD/g0PCkfFtpd0yFPVIGvX1Vohm5zMUpVjrKGzEZiwNc0AAAAEAGwAIeVHg2qma+okWfbiOYak/G7cxEaTvGdYW7l7ELBVNAgGfTloqg5qhqW3VJ4oIcuum2W7dpVE1+Oyoy2uo6FBYc05lJl9vjspSBbOREw690yJ+RM2hnz7QpsRfzdSgXHQddmYhKAFYKKWuxZw1Lb5UYW3ZvOcniYh32/O0F3ZT7uqMDLSNymnLsND3yVItDv2pTOK1aH+bVUpHnyyohwoom8upS7oLZmIIDqgDOVIOs2Vov2Ep5zUSRDUQ7LypQwIPMPEKRVsZcs1a7toyLS1WZ0lheTzELl7WKSHZ47Ue3OcsFZOk6tzUl7DVX1LnttU2Th44+F5Ktqv24XDmHI7R18r6KouQoUawngWNZGXNZLD0Wili1IBRaUk+sbasnt65LlpIfq+kJuWX8WkDejJTJIOeaJSTd9EGcQ69HhzE5qiGLXW+TVZMR0dxYwSjddE9fTIwXHbigAQAAgAyABbzCMbNZYaXGqQAQ++BcRo7WVPst3zP9Aa0wNIU+HBWh6fPPVPEPq6Ksao7i1NHM7Q7FqmuKCEDBzBqA+a1ilVEg3NSpVqHsqjbR1G0r5ZpWxXZqDVOQx3FdI59GvoV1reSNa76r4EcOgjTlJNNWb+o5ARYfKOBjUeCFkCnh04UvjJtaCWIUGveXUMwqMlKnS7Aw60hqTq1IdOEB0bs37ildvdaLKEoAjtJNzbLWm7RqxSzXj1XxGj7GrCVbvZgPHWGdipgWMjiPPELpZgdc0AAAAMBKsYC3b99On/vc5+hb3/oW7dmzh9atW0e/8iu/Qr/3e79HvoqyBRlyiNnuXNewtl45iMNEWaciN0m5l+M5M2i4mAFYeDmdL4BLvEy7rA97utRvYfGuXAX83HPPURzHdOedd9Ipp5xCzzzzDF111VVUr9fplltuWYyPBEtU53beh0BamFHDGYBsFDMYOBZFAV988cVi05x00kn0/PPP0+233w4FDAAAACxlENbs7CyNjcnao4ei3W6LTVOpqMAfkC3zuasO5cKCa2tFAxkFYOFYEn/hiy++SF/+8pfpE5/4xGGP27JlC5XLZbNt2LBhKS4PAHCEQEYByEgB33DDDbIR/GE2Xv9Ns2vXLuGO/shHPiLWgQ/HjTfeKCxlve3cufONfSsAwKIAGQUgIxf0ddddR5dffvlhj+H1Xs3u3bvpggsuoPe+9730l3/5l697/iAIxAYAWJ5ARgHISAGPj4+L7Uhgy5eV75lnnkl33XUX2TpBHAAAAACLE4TFyvf888+njRs3iqjnyUnVeJKI1q5duxgfCQAAAAwUi6KAt27dKgKveFu/fn3f75K5zaQBAACAY5BF8QvzOjEr2vk2AAAAAKAWNAAAAJAJUMAAAABABkABAwAAABkABQwAAABkABQwAAAAkAFQwAAAAEAGQAEDAAAAGQAFDAAAAGQAFDAAAACQAVDAAAAAQAZAAQMAAAAZAAUMAAAAZAAUMAAAAJABUMAAAABABkABAwAAABkABQwAAABkABQwAAAAkAFQwAAAAEAGQAEDAAAAGQAFDAAAAGQAFDAAAACQAVDAAAAAQAZAAQMAAAAZAAUMAAAAZAAUMAAAAJABUMAAAABABkABAwAAABkABQwAAABkABQwAAAAkAFQwAAAAEAGQAEDAAAAGQAFDAAAAGQAFDAAAACQAVDAAAAAQAZAAQMAAAAZAAUMAAAAZAAUMAAAALASFXC73aYzzjiDLMui733ve4v9cQAAAMBAsOgK+LOf/SytW7dusT8GAAAAGCgWVQH/y7/8C33jG9+gW265ZTE/BgAAABg43MU68d69e+mqq66iBx54gAqFwhG7q3nTzM7Oip8RhUTJYl0pAMsbcf8TUZJkLwSQUQAWUD6TRSCO4+Tiiy9OPve5z4nXL7/8Ml9Z8vTTTx/2fTfffLM4Dhs2bAdv27ZtS7IGMooNGy2YfFr8z5Eq6xtuuIH+5E/+5LDH/PjHPxZu57/7u7+jRx99lBzHoe3bt9OJJ55ITz/9tAjIOtLZ9czMDG3cuJF27NhB5XKZBpFKpUIbNmygnTt30vDwMA0auP7sYSvzhBNOoOnpaRoZGcn0WlaajA76/THo178SvsObkc+jckFfd911dPnllx/2mJNOOom+9a1v0Xe+8x0KgqDvd2eddRZ97GMfo69+9avzvpePn/sehgV7EP9j0vD1D/J3wPVnj21nnzW4UmV00O+PQb/+lfAd3oh8HpUCHh8fF9vr8ed//uf0+c9/3rzevXs3XXTRRXT//ffTueeee9QXCQAAAKw0FiUIi83xNKVSSfw8+eSTaf369YvxkQAAAMBAkb1P6zCwq+vmm2+e1+U1KAz6d8D1Z89y/g7L+dqOBFx/9gQD/h3ezPUfVRAWAAAAAI4BCxgAAABYqUABAwAAABkABQwAAABkABQwAAAAkAFQwAAAAEAGDJwCHtT+wlyO88orrxQlOfP5vMiJ5tD1TqdDy5XbbruNNm3aRLlcThRQeeKJJ2hQ2LJlC5199tk0NDREExMTdMkll9Dzzz9Pg8oXvvAFcc9fe+21tNwZRBkdRPlkIKODLaMDp4AHtb/wc889R3Ec05133knPPvssfelLX6I77riDfvd3f5eWI1y17DOf+Yx4CD311FN0+umni2pm+/bto0GA65BfffXV9Pjjj9PWrVspDEP64Ac/SPV6nQaN7373u+K+eec730mDwCDK6KDJJwMZXQEymgwQDz30ULJ58+bk2WefPaLuSsudL37xi8mJJ56YLEfOOeec5Oqrrzavu91usm7dumTLli3JILJv3z5xzzz66KPJIFGtVpO3vOUtydatW5P3v//9yac//elkObOSZHQ5yycDGR18GR0YC1j3F/6bv/mbI+4vPAhdNMbGxmi5wW63J598ki688MK+QuP8mptsDCK6b+1y/HsfDrYQPvShD/X9XyxXVpqMLlf5ZCCjK0NGF6UW9ELDxbq4C9MnP/lJ0VGJ12sGnRdffJG+/OUv0y233ELLjf3791O326U1a9b07efX7KobNNi1yOsy5513Hp122mk0KNx3333CtcjureXOSpPR5SyfDGR0ZchophYw9xfmRevDbXwzsSBUq1W68cYbablxpN8hza5du+jiiy+mj3zkI8JiAIs/Q33mmWeEsAwK3Bv105/+NN1zzz0iwCYrBl1GIZ+DwdXHqIxmWgt6cnKSpqamXre/8Ec/+lH653/+ZyEsGp79OY5z2P7Cy+k7+L5vWjOef/759NM//dN09913L4ser/O5t9iF+Pd///ciMlFz2WWXiQbsDz74IA0K11xzjbjexx57TES4DgoPPPAA/cIv/IK4x9P3PMsA3zMcaZz+3WIx6DK6EuWTgYyuDBkdiGYMO3bsoEqlclB/Yb75OPR+UFoc8sz6ggsuoDPPPJP+9m//dkkeoG8U/ruec845wrLRLiJuM8nCwlbFcodv60996lP0ta99jR555BF6y1veQoMEW5OvvPJK374rrriCNm/eTNdff/2yc9OtBBkdJPlkIKODL6MDsQa8EvoLs3DzzHrjxo1iXYln5pq1a9fScoPTG3g2zet5LOS33nqrSA/gG2xQXFr33nuvmFlznuGePXvE/nK5LPI8lzt8zXMFuFgs0qpVq5ad8l0JMjpo8slARgdfRgdCAa8EOM+NAzt4m/tAWo5OiEsvvVQ8hG666SYhGFxY4eGHHz4o6GO5cvvtt4uf/FBNc9ddd4lgIQAGWT4ZyOjgMxAuaAAAAGClsTwjDAAAAIAVDhQwAAAAkAFQwAAAAEAGQAEDAAAAGQAFDAAAAGQAFDAAAACQAVDAAAAAQAZAAQMAAAAZAAUMAAAAZAAUMAAAAJABUMAAAAAALT3/H1LZpW4kfoKuAAAAAElFTkSuQmCC", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], "source": [ "with torch.no_grad():\n", " grid_shape = (128, 128)\n", @@ -141,9 +90,9 @@ " grid_points = torch.stack(\n", " [c.ravel() for c in torch.meshgrid(*grid_coords, indexing=\"ij\")], axis=-1\n", " )\n", - " grid_values = torch.exp(prior.log_prob(grid_points)).reshape(grid_shape)\n", + " grid_values = torch.exp(targ_dist.log_prob(grid_points)).reshape(grid_shape)\n", "\n", - " x = dist.sample(256_000)\n", + " x = model_dist.sample(256_000)\n", "\n", " fig, axs = plt.subplots(ncols=2, sharex=True, sharey=True, figsize=(5.5, 2.5))\n", " axs[0].hist2d(x[:, 0], x[:, 1], bins=grid_edges)\n", @@ -151,15 +100,25 @@ " axs[0].set_title(\"Model\", fontsize=\"medium\")\n", " axs[1].set_title(\"Prior\", fontsize=\"medium\")\n", " plt.show()" - ] + ], + "outputs": [], + "execution_count": null }, { "cell_type": "code", - "execution_count": null, "id": "0505e011", "metadata": {}, + "source": [], + "outputs": [], + "execution_count": null + }, + { + "metadata": {}, + "cell_type": "code", + "source": "", + "id": "5d758032369f5099", "outputs": [], - "source": [] + "execution_count": null } ], "metadata": {