{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": true, "pycharm": { "name": "#%% md\n" } }, "source": [ "# 2. Probability Distributions\n", "\n", "\n", "### *Table of Contents*\n", "\n", "* 2.1 [Binary Variables](#2.1-Binary-Variables)\n", " * 2.1.1 [The Beta Distribution](#2.1.1-The-beta-distribution)\n", "* 2.2 [Multinomial Variables](#2.2-Multinomial-Variables)\n", " * 2.2.1 [The Dirichlet Distribution](#2.2.1-The-Dirichlet-distribution)\n", "* 2.3 [Gaussian Distribution](#2.3-Gaussian-Distribution)\n", " * 2.3.4 [Maximum likelihood for the Gaussian](#2.3.4-Maximum-likelihood-for-the-Gaussian)\n", " * 2.3.5 [Sequential estimation](#2.3.5-Sequential-estimation)\n", " * 2.3.6 [Bayesian inference for the Gaussian](#2.3.6-Bayesian-inference-for-the-Gaussian)\n", " * 2.3.7 [Student's t-distribution](#2.3.7-Student's-t-distribution)\n", " * 2.3.9 [Mixtures of Gaussians](#2.3.9-Mixtures-of-Gaussians)\n", "* 2.5 [Nonparametric Methods](#2.5-Nonparametric-Methods)\n", " * 2.5.1 [Kernel density estimators](#2.5.1-Kernel-density-estimators)\n", " * 2.5.2 [Nearest-neighbour methods](#2.5.2-Nearest-neighbour-methods)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "pycharm": { "is_executing": true, "name": "#%%\n" } }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits import mplot3d\n", "from sklearn.datasets import make_classification\n", "from prml.datasets import load_old_faithful\n", "from prml.distribution import (\n", " Bernoulli,\n", " Binomial,\n", " Beta,\n", " Categorical,\n", " Multinomial,\n", " Dirichlet,\n", " Gaussian,\n", " MultivariateGaussian,\n", " Gamma,\n", " StudentT,\n", ")\n", "from prml.neighbors import NearestNeighborsDensity, KNearestNeighborsClassifier\n", "\n", "# Set random seed to make deterministic\n", "np.random.seed(0)\n", "\n", "# Ignore zero divisions and computation involving NaN values.\n", "np.seterr(divide=\"ignore\", invalid=\"ignore\")\n", "\n", "# Enable higher resolution plots\n", "%config InlineBackend.figure_format = 'retina'" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "## 2.1 Binary Variables\n", "\n", "Consider a single binary random variable $x \\in \\{0, 1\\}$, for instance $x$ might be the outcome of flipping a coin. Then, the probability of heads ($x=1$) can be denoted by a parameter $\\mu$ so that,\n", "\n", "$$\n", "p(x=1|\\mu) = \\mu\n", "$$\n", "\n", "where $0 \\leq \\mu \\leq 1$. The *Bernoulli* probability distribution over $x$ has therefore the form,\n", "\n", "$$\n", "\\text{Bern}(x|\\mu) = \\mu^x(1-\\mu)^{1-x}\n", "$$\n", "\n", "It is easily verified that the Bernoulli distribution has mean given by,\n", "\n", "$$\n", "\\mathbb{E}[x] = \\sum_{x \\in \\{0, 1\\}} x\\text{Bern}(x|\\mu) =\n", "\\sum_{x \\in \\{0, 1\\}} x\\mu^x(1-\\mu)^{1-x} =\n", "\\mu^1(1-\\mu)^0 =\n", "\\mu\n", "$$\n", "\n", "and variance given by,\n", "\n", "$$\n", "\\begin{aligned}\n", "\\text{var}[x] &= \\mathbb{E}[x]^2 - \\mathbb{E}[x^2] \\\\\n", "&= \\mu^2 - \\sum_{x \\in \\{0, 1\\}} x^2\\text{Bern}(x|\\mu) \\\\\n", "&= \\mu^2 - \\sum_{x \\in \\{0, 1\\}} x^2\\mu^x(1-\\mu)^{1-x} \\\\\n", "&= \\mu^2 - \\mu = \\mu(\\mu - 1)\n", "\\end{aligned}\n", "$$\n", "\n", "Now suppose we have given a data set $\\mathcal{D} = \\{x_1,\\dots,x_N\\}$ of observed values sampled from an **unknown** Bernoulli distribution (outcomes of coin tosses), that is, the $\\mu$ parameter (probability of heads) is unknown." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fair coin -- Heads: 51 Tails: 49\n", "Biased coin -- Heads: 16 Tails: 84\n" ] }, { "data": { "image/png": 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", "text/plain": [ "<Figure size 576x288 with 2 Axes>" ] }, "metadata": { "image/png": { "height": 265, "width": 498 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# For demonstration purposes we shall create a data set from a fair coin (mu = 0.5)\n", "# and another data set from a biased coin favoring tails (mu = 0.2).\n", "\n", "# Number of coin tosses per data set\n", "N = 100\n", "\n", "# Fair coin\n", "mu_fair = 0.5\n", "true_distribution_fair = Bernoulli(mu_fair)\n", "D_fair = true_distribution_fair.draw(N)\n", "\n", "print(\"Fair coin -- \", \"Heads:\", sum(D_fair == 1), \"Tails:\", sum(D_fair == 0))\n", "\n", "# Biased coin\n", "mu_biased = 0.2\n", "true_distribution_biased = Bernoulli(mu_biased)\n", "D_biased = true_distribution_biased.draw(N)\n", "\n", "print(\"Biased coin -- \", \"Heads:\", sum(D_biased == 1), \"Tails:\", sum(D_biased == 0))\n", "\n", "plt.figure(figsize=(8, 4))\n", "plt.subplot(1, 2, 1)\n", "b = plt.bar([0, 1], [sum(D_fair == 0), sum(D_fair == 1)], color=[\"red\", \"blue\"], width=0.5)\n", "b[0].set_label(\"Tails\")\n", "b[1].set_label(\"Heads\")\n", "plt.ylabel(\"Number of observed outcomes\", fontsize=14)\n", "plt.xticks([0, 1])\n", "plt.title(\"Fair coin\", fontsize=14)\n", "\n", "plt.subplot(1, 2, 2)\n", "b = plt.bar([0, 1], [sum(D_biased == 0), sum(D_biased == 1)], color=[\"red\", \"blue\"], width=0.5)\n", "b[0].set_label(\"Tails\")\n", "b[1].set_label(\"Heads\")\n", "plt.xticks([0, 1])\n", "plt.title(\"Biased coin\", fontsize=14)\n", "plt.legend(fontsize=14)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use the likelihood function on the assumption that the observations are drawn independently from $\\text{Bern}(x|\\mu)$, so that,\n", "\n", "$$\n", "p(\\mathcal{D}|\\mu) = \\prod_{n=1}^N \\text{Bern}(x_n|\\mu) = \\prod_{n=1}^N \\mu^{x_n}(1-\\mu)^{1-x_n}\n", "$$\n", "\n", "Then, following the frequentist approach, we can estimate the value of $\\mu$ by maximizing the logarithm of the likelihood given by\n", "\n", "$$\n", "\\begin{aligned}\n", "\\ln p(\\mathcal{D}|\\mu) &= \\ln \\bigg( \\prod_{n=1}^N \\mu^{x_n}(1-\\mu)^{1-x_n} \\bigg) \\\\\n", "&= \\sum_{n=1}^N \\ln \\big( \\mu^{x_n}(1-\\mu)^{1-x_n} \\big) \\\\\n", "&= \\sum_{n=1}^N \\bigg( \\ln \\big( \\mu^{x_n} \\big) + \\ln \\big( (1-\\mu)^{1-x_n} \\big) \\bigg) \\\\\n", "&= \\sum_{n=1}^N \\bigg( x_n\\ln\\mu + (1-x_n)\\ln(1-\\mu) \\bigg) \n", "\\end{aligned}\n", "$$\n", "\n", "Given an observed data set $\\mathcal{D}$, we can plot the value of the log-likelihood against the values of $\\mu \\in [0,1]$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": { "image/png": { "height": 266, "width": 401 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mu_space = np.arange(0.01, 1, 0.01)\n", "ll = np.zeros(mu_space.shape)\n", "\n", "for i, mu_i in enumerate(mu_space):\n", " ll[i] = Bernoulli(mu_i).log_likelihood_iid(D_fair)\n", "\n", "plt.plot(mu_space, ll, label=\"Fair coin\")\n", "\n", "for i, mu_i in enumerate(mu_space):\n", " ll[i] = Bernoulli(mu_i).log_likelihood_iid(D_biased)\n", "\n", "plt.plot(mu_space, ll, label=\"Biased coin\")\n", "\n", "plt.xlabel(\"$\\mu$\", fontsize=14)\n", "plt.ylabel(\"Logarithm of the likelihood\", fontsize=14)\n", "plt.legend(fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the **maximum** of the likelihood is achieved around $\\mu=0.5$ for the fair coin and $\\mu=0.2$ for the biased coin. Therefore, using calculus, if we set the derivative of $\\ln p(\\mathcal{D}|\\mu)$ with respect to $\\mu$ equal to zero, we obtain\n", "\n", "$$\n", "\\begin{aligned}\n", "&\\frac{\\partial}{\\partial\\mu} \\ln p(\\mathcal{D}|\\mu) = 0 \\Leftrightarrow \\\\\n", "&\\frac{\\partial}{\\partial\\mu} \\sum_{n=1}^N \\bigg( x_n\\ln\\mu + (1-x_n)\\ln(1-\\mu) \\bigg) = 0 \\Leftrightarrow \\\\\n", "&\\sum_{n=1}^N \\frac{\\partial}{\\partial\\mu} \\bigg( x_n\\ln\\mu + (1-x_n)\\ln(1-\\mu) \\bigg) = 0 \\Leftrightarrow \\\\\n", "&\\sum_{n=1}^N \\bigg( \\frac{1}{\\mu}x_n - \\frac{1}{1 - \\mu}(1-x_n) \\bigg) = 0 \\Leftrightarrow \\\\\n", "&\\sum_{n=1}^N \\bigg( \\frac{1}{\\mu}x_n - \\frac{1}{1 - \\mu} + \\frac{1}{1 - \\mu}x_n \\bigg) = 0\\Leftrightarrow \\\\\n", "&\\sum_{n=1}^N \\bigg( \\frac{1}{\\mu}x_n + \\frac{1}{1 - \\mu}x_n \\bigg) = \\frac{N}{1 - \\mu} \\Leftrightarrow \\\\\n", "&\\sum_{n=1}^N \\bigg( \\frac{1 - \\mu}{\\mu}x_n + x_n \\bigg) = N \\Leftrightarrow \\\\\n", "&\\sum_{n=1}^N \\frac{1}{\\mu}x_n = N \\Leftrightarrow \\\\\n", "&\\mu_{ML} = \\frac{1}{N}\\sum_{n=1}^N x_n\n", "\\end{aligned}\n", "$$\n", "\n", "which is known as the *sample mean*. Thus, the probability of landing heads ($\\mu$), according to the maximum likelihood estimator, is given by the fraction of observations of heads in the data set $\\mathcal{D}$. Indeed caclulating the sample mean gives us a very accurate estimation of the true values for $\\mu$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum likelihood 𝜇 for the fair coin is 0.51\n", "Maximum likelihood 𝜇 for the biased coin is 0.16\n" ] } ], "source": [ "print(\"Maximum likelihood 𝜇 for the fair coin is\", sum(D_fair == 1) / N)\n", "print(\"Maximum likelihood 𝜇 for the biased coin is\", sum(D_biased == 1) / N)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, A problem that arises from this result is that for small data sets the estimation can be unreasonable. For instance, in the following plot, note that for small data sets $N < 100$, the estimated $\\mu_{\\text{ML}}$ can deviate significantly from the true $\\mu$ leading to incorrect probabilities for the future observations." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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fXQ8OBoqKKCE+NJQrxTMM4ze0bNkSHTt2xJYtWzB37lzk5eVh+PDhiIuLw6lTpzB//nz89NNPxftY4oknnsD69euxdOlSrF69Go0aNcKTTz6Jm2++GXFxccjIyMCxY8fw119/YcWKFUhJScGwYcMc6qtWRnjlypXo06cPBg8ejAoVKuDChQtYvnw5li9fjuDg4GLPyZo1a3DkyBEMHz7c2UvEMIyf4ZfGCQBIKc+CvBj27GtxNCulzAAZDabeFmvtHQQZM3YjpdwCMqL8h169gCtXSK1r/XpAk5TpMqGhQJs2ZKRs3w4oijcpKUAZS8JnDMMwvsfcuXNx++2349KlS/juu+/w3XffGW0fMmQIRowYga5du1psQwiB77//HpUrV8aMGTNw5syZYm+KOSIjIx1SEisqKsK+ffsAUBX6ZcuW4aeffsJPP/1ktN8tt9yCnj174s033wQATJo0CV27dmXjhGGYYvw1rIvxBvbsAXbsoL+5OufzN2+u5pxojR69z8MwDONh6tWrh507d2LMmDGoXbs2QkJCEB8fjy5dumDRokVYsGCBXYpXQUFB+OSTT7Bv3z6MHTsWLVu2RFxcHAIDAxETE4MmTZrgoYcewjfffIOLFy8iPDzcZpsKR48eLQ4Vu+OOO7Blyxb0798fZcuWRUREBJo1a4bJkydjw4YNePrpp9GxY0dERESgXbt2GDt2rLOXhmEYP0RwxJD/I4TY0bp169Y7duywvbOe1KgBnDlD64mJ9L87qFoVOH8eCAmh5PiqVd1zHobxIg4dojS5Ro0aebgnDAMsWrQIDz74IABSDmvQoIGHe8QwjKs4+5xp06YNdu7cudNScXBb+G1YF+MFrFwJFBZSnZOKFd13npMnKe+Ec00YhmE8gpJvEh4ezkUVGYZxCTZOGPdRWvr1ISGlcx6GYRjGLIpx0rRpUy6qyDCMS7Bxwvgmly4Bhw6RYVKhAlC3rqd7xDAMc8OiGCfNmzf3bEcYhvF5eHqD8U1++w3o0gW49VZgwgRP94ZhGOaG5dKlS7h8+TIAoEWLFh7uDcMwvg4bJ4xvoq1zAgDp6cC1a1TrhGEYhik1tMUX2XPCMIyrsHHCuI8HHwQaNADq1AF27dK37fLlgU6dgFtuAb77DoiJAcqVA/78U9/zMAzDMFbp2bMnpJSQUhpVtGcYhnEGzjlh3MeZM8DRo7Ru0L/Xjd69aQGo2OPPP9M6e04YhmEYhmF8FjZOGPcRpPl6FRS47zyRkbSEhrKcMMMwDMMwjA/DxgnjPubNo4rtQUFAlSruO88PP7ivbYZhGIZhGKbUYOOEcR+1anm6BwzDMAzDMIwPwcYJ45scOECV4UNCKOm+Zk1P94hhGIZhGIZxEVbrYnyTb74B+vQBevYEFi3ydG8YhmEYhmEYHWDPCeObaFW58vOBCxfotTJlgLg4z/WLYRiGYRiGcRr2nDDuY9QoSoSvUAFYsULfths3Bu6+G+jeneqcVKlCOS4zZ+p7HoZhGIZhGKbUYOOEcR8pKeTRuHJF/zonjz8OrF4N/PorMGiQ+npurr7nYRiGYRiGYUoNDuti3Edp1TkpUwaoWJGS46Oj3XcehmEYhmEYxq2wccK4j6lTgUmTyEgpU8Z953nuOVoYhmEYhmEYn4aNE8Z9xMd7ugcMwzAMwzCMD8HGCeObbNgAXLoEBAcDHTsClSp5ukcMwzAMwzCMi3BCPOObfPQRMHgwMGAAsHOnp3vDMAzDMAzD6AB7ThjfxLTOybFjpNQVGUmSwgzDMAzDMIzPwZ4Txn1MmADExAAREcCHH+rbdufOwAMPAPffD+zbB9SvDzRrxonxDMMwDMMwPgx7Thj3kZ8PpKfTutbToQevvqqur12rrut9HoZhGIZhGKbUYM8J4z5Ks85JnTpUNb56dfedh2EY5gZg3rx5EEJACIHExERPd8cvsXWNbW2fMGFC8XZP4Q/vwRPw78s2bJww7uOVV6hKfEaGsadDbzp2BI4fBw4cAGbNct95GIa54dm4cWPxwEIIgfDwcKSmptp1bP369Y2OncX3K4ZhmBKwccK4j/Bw8mpERpLkL8MwjJ+Rk5ODpUuX2txv69atOHbsWCn0iGEYxrdh44TxTb79FvjiC2DePDWvhWEYphQJCwsDAHzzzTc291X2CQ8Pd2uf9GDYsGGQUkJKiZo1a3q6Ozck/vAZ+MN7YDwDGyeMb/Laa8CTTwLDhwPXr3u6NwzD3ID07dsXAPDXX3/h9OnTFvfLzc3FkiVLjI5hGIZhzMPGCeN+ioqAwkJ928zPN/5/507g77+Bf/7R9zwMwzAW6NSpE6pXrw4pJb799luL+/34449ITk5GaGgoBg4cWIo9ZBiG8T3YOGHcx+zZQEAAEBgIjBqlb9uPPAI89hgwdCiQlQW0aQPccgvVPWEYhikFhBB46KGHAMCqcaKEdPXu3RtxcXE2292/fz/eeecd9OjRA1WrVkVoaCiioqJQr149DB06FP9YmYT54YcfihPuH374YYv7paSkoHr16hBCoFy5crh48WLxNkdVltLS0jBhwgQ0a9YMUVFRKF++PHr16oWtW7caHXflyhW8/vrraNKkCSIjIxEfH4++ffti165dFvs5bNgwCCFshgVphQo2btzo0T7rgR6KTocPHy7+jGNjY/HXX3+Z3W/z5s0YMWIE6tati8jISERFRaFRo0YYM2YMTpw4UWrvITc3F1OnTkXbtm1RpkwZREVFoVWrVvjggw+Qk5Nj8/j8/Hx88cUX6NatGypUqICQkBCUL18eXbt2xaxZs5BvOqnppjaSk5PxyiuvoGHDhggPD0f58uXRrVs3/PDDDzaPdYRFixYVX989e/ZY3C8zMxOBgYEQQuDdd9/VtQ9uQ4kH5MV/FwA7WrduLUudL76QEqDl0Ufdd54rV9TzlC3rvvMwjBdx8OBBefDgQU9344Zjw4YNEoAEIGfOnCkPHz5c/P8///xTYv/Lly/LoKAgCUCuWrWqxPHW2re2vPLKKxb7OHz48OL9vv/+e7P7DBw4sHifVatWGW2bO3du8bZTp06VOHb8+PHF28+cOSPr169vto+BgYFyyZIlUkop9+zZI6tUqWJ2v9DQUPnHH3+Y7efQoUMlAFmjRg2L79f0um3YsMGjfbYHW9fYkc/AHP/++6+Mj4+XAGTFihXl7t27S+yTk5MjH3nkEavfs+DgYDlnzhy3v4dLly7JVq1aWezHrbfeKrOzs832Q0opz5w5I5s2bWr1vTRu3FiePn3arW0cPHhQVq5c2eLxw4cPt3ld7OXll18u/i7m5+db3G/Lli3F51uzZo1D53D2OdO6dWsJYId0ctzKnhPGfWjrnJCR5B7Cw4GWLYH27YF27dx3HoZhGBMaNGiA9u3bAzDvPVm4cCEKCgpQrlw53HXXXTbbKygoQGRkJAYOHIhZs2Zh48aN2LlzJ3755RdMmTIFNWrUAABMnjwZc+fONdvG9OnTUbduXQDAyJEjS+TDzJs3rzgHZuTIkejTp4/9b9iEAQMG4Ny5cxg3bhz+/PNP/Pfff5g2bRpiYmJQWFiIRx99FKdOnULv3r2RnZ2Nd999F5s3b8a2bdswceJEhISEIDc3F8OGDUNeKRXR9cU+O8L69evRpUsXJCUloXbt2ti8eTNatGhRYr+BAwcWe/W6d++OefPmYdOmTfj3338xa9YsNGzYEPn5+XjsscewevVqt/b5/vvvx/79+/H000/j119/xc6dO7F06dLi39bmzZstzvpnZmaia9eu2L9/PwDgrrvuwooVK7B9+3asXLkSvXv3BgAcPHgQnTt3RroZER092khLS0OPHj1w4cIFAPQ9W7NmDbZv347vv/8e7dq1w9y5c/H555+7eLWI3bt3AwCaNm2KoCDLNdW1Xr6WLVvqcm6346xVw4vvLPCU56SwkBaGYXSHPSeewZznY8aMGRKAjI+Pl3l5eUb7K7PBY8aMsXi8lqtXr8rk5GSL58/NzZV33nlnsTehoKDA7H7btm0r9tjcdtttstBwLz5+/LiMioqSAGTDhg1lVlZWiWMdmfEODQ016zFavXp18T7lypWTCQkJ8vjx4yX2++yzz4r3W758eYnt7vCcuLvP9uAuz8kPP/wgQ0JCJADZrFkzeeHCBbPn/+qrr4o9RStWrDC7T1ZWluzUqZMEIGvWrFlidl7P9xAUFCR/++03s31o3LixBCATEhLMegj+97//Fbfz3HPPmX0vL730ktV99GjjxRdfLN4+fvz4Etvz8/Nljx49jDwprnhOKlSoIAHIxx57zOp+I0aMkABk+fLlHT4He050RghRVQjxtRDighAiVwiRKIT4WAhhO+BXbWOjEEJaWcJM9p9gY38phDhhcswdNvafrNc1KXUCAmhhGMbzTJgACEHLhAklt7/wgrp9ypSS2594Qt3+xRcltw8erG5fuLDk9nvuUbf/9FPJ7XfcoW43kzOANm3U7Tt2lNxu7pylxKBBgxAcHIykpCSsXbu2+PUDBw4Uz1o+8sgjdrWVkJCA2NhYi9tDQkLw4YcfAgBOnz5dPHtqSvv27THB8Dn/9ddfmDRpEgoKCjBkyBBkZGQgJCQECxcudFnaeOzYsejQoUOJ1+++++5iL8/Vq1fx9ttvo06dOiX2Gz58eLEks6WcCL3xxT7bwxdffIEHHngAeXl56NixIzZt2oRKlSqV2E9KicmTaWjx5JNP4t577zXbXnh4ePEsf2JiIjZs2OC2vo8ePRrdunUz24cxY8YAAK5du4aDBw8abc/Ly8OXX34JAKhTpw7ef/99s+1PmjQJDRo0AADMmTMH2dnZurcxZ84cAEDDhg3xxhtvlDg+KCgIX331FYJ1qPt26dIlXL58GQDQqlUrq/sq9yCf8ZrATxPihRB1AOwAMBzAvwCmATgJ4FkAfwsh4h1scqKFpcBkv41W9t1p2OdnC+f408Jx6x3sq/+Tnw9MngxMnQrMnOnp3jAMc4MTHx+PXr16ATAO7Zo/fz4AoFGjRmjbtq1Tbefm5uLMmTM4ePAg9u/fj/379ysecQCwmgg7btw43H777QCAiRMnYvDgwdi2bRsA4N1337U5qLGHQYMGWdzWvHlzACQc8MADD5jdJzw8HPXq1QMAnDx50uX+2IMv9tkWkyZNwpNPPomioiL06tULv/32m0Uj9+DBgzh+/DgACj2yRuPGjREfT0Omv//+W9c+a1GEJcyh/e2YXu/t27cjOTkZADB06FCLA/+goCAMHz4cAIVfKb8DvdrYsWNHcRsPP/wwAgMDzbZRtWpVdO/e3eJ7tRftpIS133F+fj4OHDhgcz9vw3KQmm/zOYDyAJ6RUn6qvCiEmArgOQDvAhhpb2NSygl27rcRZKAYIYQIBPCo4V8zU44AgI32nueGJzsbGDeO1qOigKee8mx/GIa54XnkkUewatUqrF69GsnJyYiJicF3330HAFZVs8yRmZmJ6dOnY9GiRThw4AAKrUixX7t2zeK2gIAAfPvtt2jRogVSUlKK1YK6deuGF154waE+WaJ+/foWtymD44SEBKsqZcp+5uL43YEv9tkazz//PKZNmwYAGDJkCObNm2c1B2H79u3F6507d7b7PJcuXXK+kzZo1KiRxW1ly5YtXje93kqOCADcdNNNVs+h3b5v3z7ccccdurWxb9++4tfb2ch9bd++PdasWWN1H1soxklAQECxQW2OAwcOFOdF+ZLnxO+ME4PXpDuARACfmWweD+AJAA8LIV6QUmaWUrd6AagK4B8p5d5SOqfnKSwEcnKAggIK74qO1qddbQJiSAj9/ftvIDMTyM0FunYFwsLMH8swNyoTJpgP51KYMsV8OJfCF1+YD+dSWLjQemiVuVAuLeZCubSYC+XSMniw9e1upnfv3ihbtiyuX7+OJUuWoGbNmrhw4QICAgKszgqbkpiYiC5duuDUqVN27a8NLTFH9erVMX78eDz33HMAgIiICMyfP79YUtdVIiIiLG4LMIT1WttHu581I0xPfLHP1lAMk4YNG2L+/PkWZ+0Vrly54tR5srKynDrOHuz5TICS1/u6pghz+fLlrZ6jYsWKZo8r7TYqVKhgdbs9KMZJ/fr1ERkZaXG/nTt3Fq+z58SzKNMA66SURdoNUsp0IcQWkPFyE4Df7WlQCPEAgFoA8gAcAvCHlDLXgT49Yfhr5cmOukKI0QBiAFwC8JeU8pgD5/A+fvsNUNRpevQAfvlFn3ZDQ4H//Y+MFMUI6dcPUHT6z50DqlTR51wMwzB2EBISggceeAAzZ87EN998U1yX44477kC1atXsbufhhx/GqVOnIITA8OHDMWjQIDRq1AjlypVDSEgIhBAoKioqHoBqQ7zMkZ2djS80RmVWVha2bNliM5yH8R369++PpUuX4vDhwxg1ahRmzpxp1fjUDvCXLVtm1ZOkxZ4aPZ5ED4PbW9qwhWKc2JtvEhkZWRyK6Av4o3HSwPD3qIXtx0DGSX3YaZwAWGTy/xUhxCgp5VJbBwohqgK4C0AqgMVWdh1iWLTHLgPwuJQy2Z5OCiEsTS02tOd43dG6lQtM03NcIDoaME1YCw1V13MdsRsZhmH04ZFHHsHMmTOxdetW7DB4euxNhAeoaN7mzZsBAK+++ireeecds/tpZ2lt8eKLL+LQoUMAgJiYGKSlpeHJJ5/EzTffjKpVq9rdjqdQZs2Lioqs7peZWVqBEN7H999/j6KiIixfvhyzZ8+GEAKff/65xUFyQkJC8XpMTAyaNm1aWl3VHW3Il5IgbgltWJr2OD3a0Bputtqwtd0WWVlZOHaM5q5thWopeTHNmzc38kB5O77TU/spY/ibamG78nqsHW2tAnAPKCQrHDTIf89w7GIhRE872ngUQCCABVJKcz7RqwBeAdAMQDSAciBjZheAfgB+EkL45ucUHEw1SKKj6a87uflmoEsX8tQooV4MwzClyE033VQ8C52bm4vIyEj069fP7uOVxFUAFpOxAeOcAWusWbOmWG3p/vvvx88//4zAwEAkJyfjkUcesTng9waiDeHAKSkpVvc7fPhwKfTGOwkKCsLixYtx//33AwBmzZqFUaNGWfSqaWfbFWPYV9EaVtoEdXNotzdr1kzXNrTr//33n9U2bG23xd69e4t/u9a8XpcuXSoO6/KlkC7AP40T3ZBSTpNSrpZSnpdS5kgpj0gpXwXwAujavWfteINRoSTCz7ZwjgNSyvellPullBlSymtSyl8A3AHgFICOIAPJnv62MbcA8Mxdu1MnICsLSEuzHW/uKgsXAr//DqxdC/jAbCDDMP7JsGHDEBoaitDQUAwYMABRUVF2H1ug8TBb8wTMmjXLZltXrlzBiBEjAACVK1fGl19+iVtuuQWvvfYaAGDDhg346KOP7O6bp6hduzYASoS2ZIBIKbHQg1LS3kBQUBAWLVqE++67DwAwc+ZMjB492uy+rVq1Kg41/Oqrr5CRkVFq/dSbtm3bFnstvv32W6PfkJaCgoLioqUxMTFGUtJ6tNGmTZviNhYsWGAxF+n8+fNYt26dI2+xBFqlLmt5QFOmTCnuhy8lwwP+aZwonpEyFrYrr6e4cI6vQDLCLYUQ1rK87wJQDZQIv8/KfiWQUqYBUO62tzvVS4ZhGKZUGTduHHJycpCTk2OxgrsltDHh8+bNM7vPzJkzsWrVKpttjRgxAleuXIEQAvPnzy8OQXnjjTeKFYfeeOMNo+rR3kinTp2K1z/44AOz+7zzzjtGib83KsHBwVi8eHFx3ZLPP/+8uEaIloCAgGIj9fz583jwwQetDnJzcnIwY8YM5OTkuKXfrhASEoLHH38cAHD06FGz9UUA+q4rxu2jjz5qVN9HjzZCQ0OLZYYPHTqESZMmlTi+oKAAjz/+eLF6lrNojRNFgc+UJUuWFAslAECTJk1cOmdp4485J0cMfy35upS7v6WcFJtIKXOEEOkA4gBEArCkJagkwpv1mtjBVcNfy1IMNyJnzwKzZ1P4VvXqwLBhnu4RwzCMy7Rq1QpNmzbF/v37MXv2bCQnJ+Phhx9GpUqVcO7cOSxYsABLly5Fx44dsWXLFovtfPbZZ8VSpc8995xRcbugoCAsWLAArVq1Qnp6OgYPHoydO3e6XIzRXbRs2bL4/c6dOxd5eXkYPnw44uLicOrUKcyfPx8//fSTzWtyoxAcHIwlS5ZgwIABWLVqFWbMmAEhBKZPn2603xNPPIH169dj6dKlWL16NRo1alScixQXF4eMjAwcO3YMf/31F1asWIGUlBQM89Jn7RtvvIEVK1bg2LFjmDx5Mg4cOIDHHnsMVatWxblz5/DVV1/hJ0P0Ru3atTFx4kS3tPHmm29iyZIlOHfuHN58800cOHAAw4YNQ/ny5XHs2DFMmzYN27ZtQ9u2be0OzTSHVkZ45cqV6NOnDwYPHowKFSrgwoULWL58OZYvX47g4OBiz8maNWtw5MiRYgPK63G2tLy3LgDqAJCgkKgAk23RADIAZAKIdOEcDQznSAMQZGGfyiDvSgqAcCfP873hPP9z8ZrsaN26tfQbtmyREqDl5ps93RuG8QgHDx6UBw8e9HQ3bjg2bNggDfdlOXPmTN2P37Vrl4yLiyvex3Rp1qyZvHDhQvH/48ePNzr+4MGDMjw8XAKQLVq0kLm5uWb7MXfu3OI2Ro4caXHbqVOnShw7fvz44u3WGDp0qAQga9SoYXW/Tp06SQCyU6dOZrcfPXpUVqxY0eI1GTJkiPz999+L/9+wYYPH+2wLW9fY1c8gLy9P9unTp3ifZ599tsQ++fn58plnnpEBAQEWr62yREZGyqysrFJ9DwqnTp0q3m/u3Llm9zlz5oxs2rSp1ffQuHFjmZiYaPE8erSxf/9+q9/VYcOG2bwu1igsLJQRERESgHzqqadk+fLlzZ7nlltukW+99ZbRa127dnXoXFI6/5xp3bq1BLBDOjlu9buwLinlCQDrANQEMMpk80SQF+JbqalxIoRoKIQwUrQSQtQSQpQ1OR5CiHIAFF/9IimlJRkqJRH+WymlRSF6IYTZssFCiIcAPACSL15i6XivpqAAuHwZOH8euHBBv3a1LlGlkut//wErVgCLFpGUMMMwjA/SsmVL7N69GyNHjkSNGjUQHByMsmXLon379vjoo4/w77//olKlSmaPzcvLw5AhQ5CdnY2wsDB89913CLEgEDJs2DD0798fAOWw/OTuvEAXqFevHnbu3IkxY8agdu3aCAkJQXx8PLp06YJFixZhwYIFPqVEVBoEBwfjhx9+QJ8+fQAAn3zySXGtG4WgoCB88skn2LdvH8aOHYuWLVsiLi4OgYGBiImJQZMmTfDQQw/hm2++wcWLF73WuwYA1apVw86dOzFr1ix07doV5cqVQ3BwMBISEtClSxd8/vnn2L17N2rUqOHWNpo0aYIDBw7gf//7H+rVq4fQ0FAkJCSgc+fOWLhwocOhnqYcPXq0OATvjjvuwJYtW9C/f3+ULVsWERERaNasGSZPnowNGzbg6aefRseOHREREYF27dph7NixLp27NBFSWtdI90UMhRi3gqrErwLVJukAqoFyFMAtUsokzf4SAKSUQvPaMACzAGwGcBLAdQDVQQUVywDYDuBOKWWKmfMHGI6pAaC5tJJvIoRIBHlYtgM4ByAMQDsA7Q2vPy6lnOfoNTA5x47WrVu33mGriJneHD4MKFVfGzSg//Xg1ClgwQIgP5/Cuh57DOjbF/jxR9q+fDlgSApkGH9FkYe1VlmZYRiG8R8WLVqEBx98EAAp1DVo0MDGEa7h7HOmTZs22Llz505JokwO4485J5BSnjB4JN4C0BNkUFwE8AmAidK+uiE7QPVN2gBoBSqOmA5gH8iTMVtKaSmrqQfIMLEnEX4mgG4gVa4EAALAeQDzAHwspdxjR1+9E3fVOalVCzBNWNPWOXEx2YxhGIZhGMbbUPJNwsPDfaqooqP4pXECAFLKswDsyvzRekw0r+0DMMzJc/8MMjLs2fd9AO/b3NEXCQkBypcnI6V8efeeq317MkpCQrg6PMMwDMMwfodinDRt2tSvQxn91jhhvIDq1SnnpDR48UVaGIZhGIZh/BDFOGnevLlnO+Jm/NfsYpjSxErBNIZhGIZhGFe4dOkSLhsmfFu0aOHh3rgXNk4Y3+Pvv4GxY4GXXgKWLfNsX06cAB59FKhZE0hJ8WxfGIZhGIbxS7TFF/3dc8JhXYzvsXcv8MkntP7440C/fqXfhwMHgPHjjY2j6dOBN98s/b4wDMMwDOPX9OzZE/6osGsONk4Y91FUBJw8SUpdRUVA48b6tJufr64rGv4HDgC7dgG5uUDz5kC7dvqcyxLnz5f02uzxXWE1hmEYhmEYb4CNE8Z95OUBitRdaCiQk2P7mJ07gYQESqa3xK23AtOmUfutWtFrq1YBr71G6+PGud84yTapq7lpE3Dbbe49J+Mc+/YBYWHqd5FhGIZhGK+FjRPGfTha52ThQmDIECAwEDh6FKhd2/x+LVvSokVbBTk319GeOk7btsDixWSkVK7Mhom38uuvQM+etL59O9DGqXpQDMMwDMOUEmycMO4jMJAMjKAgWqQEhJXyL0OG0N/CQmDMGGDNGvvP1aQJMHgweWjc7TUBqJbKwIHuPw/jGrNmqeu//cbGCcMwDMN4OWycMO5DCFKzspe2bWl2G3DcwLjrLlq8BVuGGFM6REWp6xUreq4fDMMwDMPYBUsJM97Df//RoF5KYMIET/fGObZsAXr0AKZM8XRPGAAoU4a8XBERQFycp3vDMAzDMD6BJ5XB2HPC+B4LFwK//055JgMGAF26eLpHxMqVwH330fru3cDTT9OgmPEcM2bQApDR60cIISClRFFREQICeJ6JYRiG0Q/FOBEeiALhJxrje/z9N/D115RPsH+/Z/rw9dcURnb//cDy5fTaXXcBVavS+rVrwJ9/eqZvjHn8LMwuxCACkZmZ6eGeMAzDMP6G8mwJ0QoOlRLsOWHcy/79JCFcUEDJyMHBrreZl6euKz+as2eB1atJqatqVaB/f9fPY42DB4FffqH1m2+mv6GhwBtvkPH06qssXesNHD4MvP02kJYG1K1LEtR+QpkyZXDlyhUkJSUhIiICgYGBnu4SwzAM4wcUFhYiKSkJAD1rShs2Thj30q0bcPkyrV+8aD0p+b33gKVLqcjiSy8BDz9sfr9HHqGE+bw8VcL38GEKowKArl3db5xoa7aEh6vrTzxBC+MdpKVRGCDgd0pdZcqUQVJSErKzs5GYmIi4uDhERkYiODgYQgiPuOIZhmEY30NKCSkl8vPzkZmZieTkZOTl5SEwMJCNE8YPcaTWyauvquuvv27ZOOnYkRYtoaHqemnUORk1CujVi+qctGjh/vMxjlNQQB4uhbQ0z/XFDQQFBaFmzZo4e/Ys8vLycFmZBGAYhmEYFwkJCUG1atUQFFT6pgIbJ4x7adaMvCVBQVT3xF7sKdqopUoV4MknyUipU8exY52hUSNaGO/lyhVg+HD1/7lzPdcXNxESEoKaNWsiPT0dmZmZyMrKQmFhoUdVVhiGYRjfQwiBwMBAREREIDIyEtHR0R4LF2bjhHEvP/9s/75DhwLz59P6Qw85dp46dYwL7nkDUpJnhRW7PENysrreoEFJb5ufEBgYiNjYWMTGxnq6KwzDMAzjMqzWxXgP8+apdU7ef9/TvXGe//6j/IbYWKBfP0/35sambVsyXGvV8nRPGIZhGIaxA/acML7HW28BBw6QUtfLLwNNm3q6R8aEhQE7d9L6sWOe7cuNTJMmZCgyDMMwDOMzsHHC+B4bNgAbN9L6iBGe6cPw4cDx46TU9emnFDakoM15uX4dKCx0LN+GYRiGYRjmBoWNE8a97NoFpKRQgnu7dhTq5CraOidK3ZTsbKoEnpdHhsArr7h+Hmvs2AHs20frWllhgHJM/vkHqFkTKF/e74r/+RzPPEOetvR0khWuW9fTPWIYhmEYxgJsnDDu5amngG3baH3rVrVgoTnefBP46isyZF58Efjf/8zv9/bbpMSUlwfUr0+v5eaq+0dHu984yc5W18PCSm7v0MG952fsZ9s24N9/af3aNTZOGIZhGMaLYeOEcS+O1Dl5+211/eWXLRsnXbqUfE1b50TrWXEXP/wApKaS16RaNfefj3GcffuApCTg5En1NT+rdcIwDMMw/gYbJ4x7adWKDJSgICAmxvq+gYGUn+EMoaHACy9Qkrw5T4betGzp/nMwrvHRR8A339D64MHAmDFcm4ZhGIZhvBw2Thj38umn9u/7zjvAuHG0/uyzjp0nIIAGo95GWhqFoHEoUemjrXMyYABw002e6wvDMAzDMHbBxgnjPbzyivtzRUqLkycpv+bKFVLvOn7c0z268WjShAyU5GSgYkVP94ZhGIZhGDtg44TxPQYNIuWl4GBg7lwgLs7TPSpJxYpkmABAYiKQn68qizGlw3vveboHDKMvK1YAzz9P979+/YDZsz3dI4ZhGN1h44TxPdavp0RnwHaSvTtITwfat6caJ/HxwG+/ldwnIgKoWlX1nFy7BlSqVPp9ZRjGfygooMkOQL0HMgzD+BlsnDDuZdcu4Nw5eqi2bauPslV+vroeEqKuf/wxcOkSyQq/9hqQkOD6ucyRmQkcPkzr5cpZ3m/HDjJeuACjZ/nxR/KipKUB991HuU0M44tER6vrrDzHMIyfwsYJ414++ABYtIjWFy4EHnzQ/H65ucBLL9E+KSnAq68Co0dTEUNTli0jCd/8fCAyUn195kzg6FFaHznSfcaJtuhieLjl/cz1nSl9UlOpKCZA6nEM46vcdhvlr0VH21Y/ZBiG8VHYOGHci711TnJyjJW93n4buP9+8wP8bt3Mt6H1ouTmOtZPR6hcmSqOawsxMt5FZiawahXlIx07pr7Os82ML3P8OH2Ho6NJMr00ZNMZhmFKGTZOGPfSqhV5QoKDKQfDEtpQLQWth8IexoyhOOyQEPeqM4WEAI0bu699xnXOnAGGDKH1+Hhg82aaaXaXN41hSoPx48noBsiDfP/9nu0PwzCMG2DjhHEvzz9Piy0iIihnZNo04OpVqg5fubJj53riCae66Fays0lW+Nw5oEcPT/fmxkFb46ROHaBjR8/1hWH0Ij1dXdfmnzAMw/gRbJww3kFEBBVedLT4ojeTkwNERQFFRVQkMjvbOPSMcR8xMcDAgWSkNGzo6d4wjD40bUr3lfR0ClmUEhDC071iGIbRlQBPd8BdCCGqCiG+FkJcEELkCiEShRAfCyHsLoohhNgohJBWlhIBvzb2/8fKuXobzpcqhMgQQmwTQgx19v37LampVNywUyfvD2kIC1O9P0VFwOnTnu3PjUTTpsDixcC6dcD06Z7uDcPowyefAOfPU+5Ju3ac98YwjF/il54TIUQdAFsBlAewCsBhAO0BPAugpxCio5TSEZH4iRZet5ThfRrAPDOvn7PQ39EAPgWQBGABgDwA/QHME0I0k1K+6EBf/ZvsbFV5qUIFz/Thp5+Ap58mpa7evYGpUy3v27AheUvq1gXy8kqvj75Abi6JJISFsdwyw9hLZqZqlKSnk9eZYRjGj/BL4wTA5yDD5BkpZbEElBBiKoDnALwLYKS9jUkpJzh4/kR7jxFC1ATwEYDrANpKKRMNr78F4D8ALwghlkkp/3awD97Bnj2kbFVQQMnxzZq51p52gG9acf2bb4B//6V9Hn0U6NDBtXNZIiWFckgAtQq8Jdat47ALS3z9NRl5APDUU8Dnn7vnPFICbdrQ55aWRrVwgvz11sf4PdHRVNRVCCAjw3OTNAzDMG7C78K6DF6T7gASAXxmsnk8gEwADwshIuEdjAAQCmCGYpgAgJQyGcAkw792G1Jex6JFpJo0dCiwerXl/RITgeHDgRo1aBb9+eeBjRtL7lehArB1K237/nvjbevWAZ99Bnz5pVrvxB1oQyms1TkB2DCxhlaNzZ25OEIAJ04Ap06RmltGhvvOxTDuZts28pgUFJDYA8MwjJ/hj9OHnQ1/10kpi7QbpJTpQogtIOPlJgC/29OgEOIBALVA4VaHAPwhpbRWSCNWCDECQEUAqQB2SCkt5Zt0Mfz9xcy2n0328T3srXNy5Qowb576/7RpJAd8xx3G+4WGUs6JOUJD1XV31jkZMoSUt5SEd8Z5wsPpOmo/Oz349VeKzY+LA266iRLklRonaWlAbKy+52MYd5OfTzLC0dFAmTL0vWYYhvFD/NE4aWD4a2nq/BjIOKkPO40TAItM/r8ihBglpVxqYf8WAOZoXxBC7AHwsJRyn739lVJeFEJkAqgqhIiQUmZZ66QQYoeFTZ6TK2renKrCBwVZD+kyV+fE0WTPQYOAFi1ooOtO6djISOPK9IxzPPccLVKSYICezJxpXA/i11/pexEdTXVPGMbXuH4dGDCA1hMSSHKdYRjGD/FH46SM4W+qhe3K67F2tLUKlA+yC5SsXgPAUAAvAFgshLhbSmnq8ZgKYBnI2MgBGQYvgxLc/xBCtJRSnnewv5GG/awaJ17JgAHqA9UadesCc+YA69cDhw8Dgwc7bmDceSct3sbJkxRmdvw41WJhOWEiLw+YP5/kfnNygDff1K9tbZ2TuDgumsn4PlzjhGGYGwR/NE50Q0o5zeSlIwBeFUJcAKlrvQeTcCwp5Qsmx2wHMEAIsRRAPwAvgpLy3dHfNuZeN3hUWrvjnLpRoQIwYgQt/kanTmoCfffuQP36nu2PtyCEWjgzIAB44w39cnR69wZq1aLZ5qpV9WmTYTxJSAhw332UM1W+PBkrgYGs1sUwjN/hdwnxUD0QZSxsV15PceEcX4FkhFsKIeydwppl+Hu7yev29teSZ+XG4t9/KTysdWtSePIF6tVT148f91w/vI3gYDU8rqjIeGbYVV56iXKYfvzR+PozjK9SvTqwfDnd+xYupDwqdyncMQzDeBB/9JwcMfy1ND2tjFSclnOSUuYIIdIBxIFCruwZVSkBwqbJCkcAJID6ayQXLISoZNj/nK18kxuG1FRg/35aL1vWM30YMwb47juqzzFlCuXUWKNDB6CwkAbJ5cuXTh99gevXaSY4NJS8GwGlNFfCVbUZXyY0lL7DgL4GPcMwjJfgj56TDYa/3YUQRu/P4OXoCMrdsFit3RZCiAYgwyQdwDU7D1OkVU6avP6H4W9PM8fcZbKP73HoEDB7Nkn8bthge39baBPnTeucrFsHDBtGxsL8+a6fyxIpKZTTcPGi+UR+U957D/jzT+Crr4C2bd3XL19jzBhgwQLKNapb173KZ2+9RepvERHAp5/a3p9h9GTxYlL4W7vW9bZiYuhvRIRqpDAMw/gRfuc5kVKeEEKsAylyjQLlhihMBHkiZkspM5UXhRANDcce1rxWC0CqlPK6tn0hRDkAcw3/LpJSFmi2NQdwSEqZb3JMc1DhR4AqwGuZC+B/AEYLIeZqijDGAXjVsM8s+CqbNgEjDWVanngC6NzZ/H6bNwMff0xhTwcPUs2Thg1JzUnLbbcBe/dSMrWpYtahQ6pRkpBAtVXcgbY+h606J4xltNcxLMy958rNBS5fpnVFUphhSoO8PFISBGgCpajINc/dM88AY8dSvgnDMIwf4nfGiYGnAWwFMF0I0RVUm6QDqAbKUQCvmex/yPBX+8ToBGCWEGIzyNtxHUB1AL1AeSDbQUaFlucB3COE+AvAWQC5ILWungACAXwJwKhyoJTylBDiJQDTAWwXQiwG1VPpD6AqgCk+Wx0esL/OSWIiSb4qfPEF0LVrSeMkOtqyJLG2Voa2krzefPstMGsWSR3HxbnvPP5OdDRQrhwZKXom9V65QoU44+KoqOfddxurGzlrnOzZQ96d2FgKKeTQMMYeTL9vaWlUp8RR9uyhJTqa1OcaNLB9DMMwjA/il8aJwXvSFsBbIMOgF4CLAD4BMNFQfd0WO0D1TdoAaAUgBhTGtQ/AEpD3xXQEvNKwX3NQ4cQwkATxzwC+lFL+aKG/nwohEkFKXo+Awu0OAnhdSunG+KRSoGFD8pgEBVkungiYD4/Szqzbwx13AF9/TUaKO5Ogw8LcP9N/I6AtuqknJ08Cr79O6+3akXEyciR50qKjnTeEbr5Zrb2TkcG1bhj7iIgAJk+mv4GBzhkmANXtGT+e1l97DXjnHf36yDAM40X4pXECAFLKswCG27lviSlQQ7HEYQ6ecyXIQHEYKeVPAH5y5livpmNH++qVdO4MLFkCnDkDbNsGdOniuARsw4a0eCPbtgH79gHHjlGuBcvbEn/9RblIyckUk9/TXOqVg5jWOAHI2+FKVfjcXNUwCQpi+VbGfiIigJdfdr0drnPCMMwNgt8aJ4yPUbMmLf7Kq68Cfxh0DW6/nY0ThQ0b1NngyEh9jJMaNYBXXiEjRS9jNTsbaNmSxBACAzmkiyl9WrUChgwhI6VGDcqhyssDqlXzdM8YhmF0hY0TxreYNw+YMIEKkj3yiBq+U5oUFTkue1u3rmqcHDumf598Fa03IyVFnzYbNyaFND2JjQV27dK3TYZxhMGDaTl+XA1brVWLwhgZhmH8CDZOGN8iORk4fZrWr9mr4qwztWsDFy6QUtfevTSLaYtOnYDMTDJSbrnF/X30BY4fp7ovijJbhw7uP2dRkfMJ+Hv3UvG7CxeoEN7Ysbp3j/FjMjNpYuLiReCuu2zvbwltSBfXOWEYxg9h44RxL6dOkQpXQQGFbSmSms6iVeEKCTHedugQ8MYbtE/9+sBHH7l2LktkZ1MCf35+yT5YQpn1ZFS6dAHOnqX1xET7jDxnOXmSwrIyMoA6dZzzXp04Abz/Pq1fv87GCWMfW7ZQ8vovv9D/ISFAVpbzUsAxMST6oajdMQzD+BlsnDDu5ehR4KWXaL17d8vGybffUtX1gAAqWHjvvTT4X7LEeL+nngIGDqRtpqo3KSmqHLE7Z+Fzc9V1rnPiPNrrqJWBdgfh4eoss7NSwpUrq+sXLrjeJ+bG4MQJ1TABaPLkzBkKyXKG8HDHlQwZhmF8CDZOGPdib52To0eBX39V/1+4kP4WFhrPMMbEqBWSTdF6MbQDX71JTqYBRna287KgDHnSIiNpoKWnNPOXX9LgLzYW6NePzqMNhSkqcrzNM2eAS5fIMG7XDmjTRq/eMv5OVpbx/717O1eH6auvaFImOhro25cVuxiG8VvYOGHcS40awPPPk5FSt67l/czVOQFo4GpvPYk6dcjTEhICxMc73ld7EYJm+t092+/vbNvmnna/+468bwCFcilGUEoKFVF0Jpxm0SJVDrZ6dZK+Zhh76N4dWLyYck7q1QNuvdW5dsaPVz12Z86wccIwjN/CxgnjXurWBaZMsb3fiBGUNJ6fD/z7LyVIh4UBwcH2nys2FhgwwOmuup3ffgM2b6ZE8GeeKZ0EcG+nqIgKyqWkULjVggWuy/Saq3MihGteLq2SmCv1Upgbj9q1aXEVrnPCMMwNAhsnjHdQvz4tANCnj2f74i6+/BL44Qda79OHjROAcoymTVPD8L780vUCh889R4puycn61ZOpUoUqxKek0DrDlDYjRwKpqWSkFBSQyEN6OuWuWAp1ZRiG8UHYOGF8i+eeo+T54GDggw+Ahx8u3fMXFlJ4huLVcWSWXzuAcDYp2x+JjaWCcgAN/l01ToYNc7FDZhg1ihaG8RQffKCud+9OnlgA+PlnfYqXMgzDeAlsnDC+RWoqkJRE684klbrKiRNAgwa0Xr8+cOSI/cfeey/NcpYpw7VO8vKA3bvJyHvoIboucXHunQGWkkQM0tPpM3AmCX/ZMmDFCor9f+wxlodmHOPoUXV5+mnnhSC41gnDMH4MGyeMe7l6FfjsMwpDKFuWkuNdQZs4b1pjJC+PwqWUEKENG1w7lzm0Ep721jhR6N2bFoaUr5SwtqpV1Xon7uSuu1RFuF9+AXr0cLyN/fsp4R4AbrpJv745S2EhzZxXrkyFIRnvY+JE4J9/SJRBkToHyNvRuLFzbVauTGIj0dH6Kt0xDMN4AWycMO7l+nV6OAOkVGPJOBk/Hli/nkKlpKRZ9OxsKnrXsqW63+zZlKOQl1cywTkwUB18BgTo/lYAkHEUFUV94xonzqOVei6twZVW9c3ZsDptvok31DqZNQsYPZrCCw8eJCEJxrvYvt24zonC0aPOGyeffkoLw5hy9SrwxRckd87hfoyPwsYJ417srXNy6BCwdWvJ1597zvj/iAjLOQmBgbQUFpIKVEGB8fn1oE0bNYyisFDftm8kAgOBtm3JE1W9un7tHj1KBm1cHNCkCTB8uLpNqawdE0MGsCP89BMZo1FRlLRfvToZ255m9Gj6KyXwyivAypUe7Q5jBm2dk9tuI49rvXqOCSucPEm5dlFRdKy/ioYwrvPaa3SPEoK+NzVrerpHDOMwbJww7qVsWfKKBAXRuiUsGS7Z2Y6db+1aOldoqPu8JwrO1MtgiNq1gf/+07/dkyeBr7+m9W7djI2TOXOAuXOda3fgQDWkLyPD/to77uaVV4DJk2mdC0N6Jx98QGGMmZnAHXcA5cs73sahQ8CECbTesycbJ4xlvvyS/kpJ6+++69n+MIwTsHHCuJe4OPWhao333qOQr/x8SnqXkmaqW7Vy7HzduzvVzVLh+HFgxgwKKapZE3jzTU/3yDrnzlGORbdu+nugtPz8MxWpS0kB7rsPGDrU+bbM1ThRcNZYzclRDZOgINfVxPTksceAe+4BypUDKlXydG8Yc+hhNGqT3lk2mLHGqFHAli0ULnvvvZ7uDcM4BRsnjHfQoIGqguWvXL0KfPIJrXfo4N3GSXo60LQpGYrjxgGTJrnvXIcOAfPn03rNmq4ZJ+3aUV5ScrJaN8dV8vOB++8n40lK14tE6kmdOrQw/k3jxsAbb9DvsmVL8t6dPk3/R0YCzZp5uoeMtzBjhqd7wDAuw8YJ41vcfjuwbRvFba9bR4XxSpP0dFrCw2kGPTTU/mN9qc7Jt9+SYQKQV8udxom24rq2Ersz1K1Li55ERxurLDFMadO8OS0KK1eSlxEgz9mPP3qkWwzDMO6AjRPGt8jJIaWuvDz355SY45tv1CTkp58mmWR7qVIFmDqVjJQKFdzTP73o2FFdd4dH69IlUpcKC6PrMmcOGSl6GxZaCgrI+ElPp3whZxPxJ04E/viD1LrmzTO+VqVJUREpQcXF0ZKQ4Jl+MI6xbRuwcyeJNzz1lHMePl+a6GAYhnEQNk4Y95KfT0m7BQUUDvPxx663p2Cuzsgjj1CYUF4e8MMP+oX2KGgT9B2VwI2NLak+5q3UrQts3EjeIVPJZj34/XcqvggAgwYB33+v/zlMWbsW6NuX1nv3JgUuZ9i/H9i0idbPnPGccZKSotaKiYmh/70p5IyhMMCbbqJ7RWQkfecmT1ZV1dq3d+4eFR9PstExMc7LETMMw3gpbJww7kVK8hYAVMPEknHywAPA4cO0zz33AH/9RYbA4MGU4KewfTsZKHl55hOTDxygWUnAPTOKoaFAxYrUN22VZn8jMhLo1Ml97Xuizon283Llu1G5srruyVon2uT/tDQyftlA8S5yc4F//6X14GDy2GmNkaNHnWu3RQuahGEYLVev0nfj4kX6//nngSlTPNsnhnECNk4Y92JvnZMjR4C9e2m9USOaWQdoZlGLUsvE0oBW603Jy3O8v7YYM4YWxjXKlydZ1dxcfeuFjBtH3oy4OPJSaZPFY2Pp9ehox+Rc9+8Hdu2i4xs0AB5/nAzoKlX0rdHiKIWFpAS1Ywf9n5ZGidL+bDT7GpmZ6roiP33bbcDly2SkdO1qXztz55IxEh0N9O9P90iGMSUlRTVMAGDRIjZOGJ+EjRPGvQQEAB9+SEZKUJBltSNtuJY2ntrROiezZ1NeilLojHGO5GS6jlFR5KHSu6ZL79606M0vvwC7d9P6sGHG21q1Aq5fd7zNNWsoNBEAXnqJ6lY0bepKL/Whfn3yJFavDpw9S69dvcrGiTcRE0Oek8xMdXLGme/+ihVqGGKzZmycMObRSk4DdD/wNoVBhrEDNk4Y9/Pii7b3WbmSHuD5+ZTjcO+95B2pWtWxc2kVbbyRCRMofC0tjSQfa9f2dI/M8+GHpNIFAG+/Dbz+unvP99BD9CBNSaGQPnP5RPagDXWyVvTTEbQKYlplMW/h119pVj4hwbtqsDAUytWunevtaAedbHwylmjYkMKa//c/8g736UPCGVwwmPEx2DhhvANTL4elJNHsbNUL44uzQb/8Qmo9AIV2eKtxog1HeeMN4IUXSD7ZXfz8s+rVSElxroo2AHzxBV3X5GT9FNFatACGDKF+eeOMtTf2idGXp58GevQgI0UJVdy5k77n6enAXXc5JmvO+CcREeQh/u03T/eEYVyCjRPGt6hYUU1mTk4u/ZnsM2co3Ck8nKpyO5rM7SsSoKaGSFaWe42TuDjVOElOdt446d5dvz4pDBpEizmkpL++aCgzvsOAASVf691bzS84e9ZxLzPDMIyXwsYJ41vYkhJ2N6NHq7HfK1ZQ+JkjvPgiMHw4GSmtW+vePd2YPJlquiiDH0dzf2yxZw9VuA4LIynUGTNooB8X594k8/PnyQOSlkbJ5M5+h3r1IhGHCxdoiYvTtZt2cfAgcO0aGeg1arhH8plxD5s2UTje0aMU0qhIXDtCTIz6+zTNNWAYhvFh2Dhh3M+LL9JseEEBMH26a4MoRa2rsJDiuU0ZPx5YsoRUoN57jySK9SQnR113xpPgjpl9d/Hrr3Stw8PJY6Uns2cDM2fS+mefUdhKaXDzzWry+KlTQM2azrVz4gRw8iStnz/vGePk44+BL7+k9c8+A0aOpO+9Oz1cjGP8+iswdiyF2/TsCbz7Lr3+++/ApEm0XqeOc8ZJ+/ZApUpkpHhiooZhGMZNeKDENnPDsXAh8PXXNBOvzWXQ0qQJPaQbNiRp1JtvBlq2BPr1M94vPZ2MnMJCY5lihcuXKeH81CnnlJlsUakS9bNyZf9PTG3WjLwatWqZv9auoDXySjNWXvuZuTLbXKWKuu6pWifa5P9Ro8hY19YEYjzP1at0P9q5E0hMVF/Xo9bJN98AGzYAq1YZS2YzNy5Tp9J3Swha7rkHmDfP071iGIdhzwnjfuypdXLypDpgLSwE/vmH1rVhXFoCLNjV2oGuttCfXsyfr3+bNyItWlDMfE4OUK2aPm3+8w/w6qvkxejYkQqQmVK3LoWPRUdb/g6ZMmMGzUzHxtIMd2govRYY6FkjtWFDep9bttD/RUU0GGa8B3N1TgDyerz+Og0kW7Sw3kZWFvDUU/Q9S0ggxT+GMcf588CxY+r/q1eT6IqprDrDeDlsnDDuZ/JkVWXLkryrpTon2hl2e3j5ZeDJJ2kAWa6c431liCNHaPAdFUXXUW8pymefpUVPTp+mmWTAsuGxapXj7b74omroKoPNxo0db0dv3n6b/m7eTIX9AP1zgxjXGDSIPpvMTOPQv3r11M/PFqmp5CUBSCiCjRPGEua8wVeulH4/GMZF2Dhh3M/gwbb3OXGCDJSCAsoD2LKFYucdnZWuXJkWaxQV2T9rrjcbNgDTplFCdteuJNPrjdx5p5qbkZhICdfuZNky4JNPKFRp0CDgtdccb0Mb5qRXDkhOjmqYBAd7Zz5Hu3YUWpaQYD4Py5c5f57yNGrWpNoNvkaZMq4LFXCNE8Ze3nuPPMZ79lC4YNOm5C32BqSkxVPPXsanYOOE8Q5MB7+33FJyn8JCUicKCaFFGyZhLytWACNGUPs//lj6xamuXFHVvvSqw+EOtOEoNWtSkUxnknbt5do1Kr4IUL6QM/TtSw/i5GT9FL8KC6nGS0oKrXujZHBoKOVCuYPt22mmvkMHMqbN/S7dySuvAAsWkKKV6aTCnj2UY3bnnd75uehF+fKUs5eeblxk8+RJUmxLS6NaN61aea6PjHcQH09Lw4ae7okx588DXbrQPfS33yiPkWGswMYJ4ztcuKAOOqtUAc6dc7yN2bNpoLl2Lc3WDxzo2PH//kuz02FhFC/uqHGjDVlLTXXs2NKkdm1jQQF3S5VqPR1aD4gjVKqk/yA9MhL46CPL26WkwaG/yvhu2gSsWUPLhAlkEDRt6nx7c+bQ4OSVV0jwwhaKItrKlcDff1OOjcIPP5BXZfVq4O67ne+To+zeTQZTWhq9B3crzcXGkvy4KQsXqp7XcePYOGG8l48/VoUfnnuOfs8MYwU2ThjfIS9PXXdWOlMrHatVz7GXTp3UPJjMTOOZTHto04ZuzDEx7pvt1oP//gMefxz46iv6PytL3/Z/+okMnrAwmlG74w7gjz/ISNFbtljL1av0uaenk4HboIFz7Vy8SF6ECxcoJ8cZQ9kVcnLoexQXR+d3V82cbdvU9aIi4OefnTdO8vLoev3wA/3dtMn2MUpIXUaGsad0zx5VNGPdutI1Tk6cAKZMofV773XeONm6FZg1iwZt3boB77zj2PF6Kc8xjLvRekq8OWKA8Rr8NvhPCFFVCPG1EOKCECJXCJEohPhYCGF3MLoQYqMQQlpZwkz2ryKEGCOE+NlwvlwhRJIQ4jchxP0WznGHjXNMdvVaeJw33iAPxf33Oy+bCdAsdbly1uO4v/uO1J/Klzev1qQM4kJDyYPi6Pm1CfqOVocHqF99+wKdO3uf692Ud96hgfyVK8DQofq2/dprwJAhJBV95gxdl86daSbancbJ3LmklNS1q1ojxBnKlqVrk5cHXLpE4QqlycWLwIMPUu2M++6j15TBv55J8ZMmUfK2gqO/GS0XL5IXqkIF1bCwxfbtZKAkJZHcuMLJk1QrBAAOHXK+T84wdqy6bmsGeORI8vY2akSGnZbLl4FvvyUDcMcOx/tRrx4VA33gAe8u6Mow8fHqekaG5/rB+Ax+6TkRQtQBsBVAeQCrABwG0B7AswB6CiE6SimTHGhyooXXTXVxxwB4GcApABsAXAJQA8D9ALoJIaZJKc2MmAEAfwLYaOb1zQ700zv5/XcKyQBI+Uir8Q/QQ7pRIwqXqlwZ2LULuPVWGvRlZwP799MMcd26tpVHcnPVWWxzA6n77gNuukk9nyPk51PsfU4OJe77e2KfO2e4fL3OSWgoPXCTkmhG//r10lWHM03+79VLHfyuX0/Glx7UqUNJtl9/TeFFzZo531ZUFIVCpaU5JlgQElJS5a91a2D0aDLwSzucKSFBvcc89ZT1fS9eVIUlTKXNtUafM5M2vXrRwjAKDRqQRz86mjy758/TM3PxYuPvW2lz993Ul/j40r3fMz6LXxonAD4HGSbPSCk/VV4UQkwF8ByAdwGMtLcxKeUEO3f9F8AdUso/tS8KIRoB+AfAc0KI76SU5qbJNjpwHt/CVp2T3Fx1sKWEa504QcYJQCFF9g5mbNU5KVfO+UFkSIj9M76Mde65h2b5c3Jo0KsH/fur1dpnzKC8GVOqVqXQuuho+x7WW7bQYD82llSxtAnhO3bQwzYqSp/+O0JEBL3flBQyIK5dU7fpXeukX7+SxVDtRUo1WT0mhnJNoqJcz9GpUQP49FPb+7kD7b3I1nXRCkuYhoDWrUthXfXrl5yw0bJsGbBoEX1n77lH9ZQxjCnnzqkhuCEhwN69tH7hgmeNk6goz9wnGZ/F74wTg9ekO4BEAJ+ZbB4P4AkADwshXpBSWihX7hxSyuUWXj8khFgM4HEAdwBwwofvw7z5Js0wBwWRx8IUrcGiGDJayVZHwlT69qV6FyEhJW+Ghw9TMmvVqjQwcGf4kC+TlkbeqqgoGojpVSRRixKzryc7dqh5REVF5ve55x5a7OWvv9S6Ei+9ZGyc6C2vnJ0N7NtHA/eyZa0b0Q0bUu6GwlNPkScvPt5yoVNPMHMm/eamT6cwyPfe83SPXGfNGgpNSU+3fQ/54Qf6PWVmlvwdhYVRTSZb7NsHLF1K69WqsXHCmKew0Dg3sGZN1TjxdHHWn39Wi4jWq1f6KpmMz+F3xgmAzoa/66SURiMUKWW6EGILyHi5CcDv9jQohHgAQC0AeQAOAfhDSulo+XGlyqClkUNdIcRoADGgcLC/pJTHLOzrW3TrZn17jRpkvOTn00wrAPzyC824hoU5ljhubYZm7VqShQUoJMRTM6/33EOhbGlpFFPvbTNKe/YAt99O6x07UpE/7Qy4u+jalfJPkpOpyrGjtUq0YXx61TnRtqmXh8cSx49T2CBARR4PHLD/2GnTgM8+0zfUsKDA2OvpKP/+S/kZ+fn0PV+92nYNIi1FRfRdiI52XgDDHYSH02KPBzYuzvXvojb80NvuFYz3EBBA4aXp6WQ8p6QATzxB31NnhT/0QEoSjlAEbZwRkmFuOPzROFF+hZaCeI+BjJP6sNM4AbDI5P8rQohRUsql9hwshIgB0A+ABLDOwm5DDIv2uGUAHpdS2qWtKoSw5JHx7szrwMCSMeXmwhwyMynUS6lxYqnavCW0ikqVKtHgLzmZ8ltKk+3b1ZC1tDTvG3BoExa3bCEDccgQkoF1J8ePk3EC0Ofi6KBuyxZ6OCcn62dIdO1KuUkpKZRI70600tKOhj05I85gjcJC+o3UqkUG04cfOn6OJUvIMFFw9Pd68SJ5OQFKKj992rHj/YVhw+i7l5FBoYUKOTnAqlU0GC0qooEoc+MihD7GsN5kZKiGSXAw/R8aatt7Mm8e8M03NKFYmmp8jFfgj8aJ8lS3VERCeT3WjrZWAfgIwC4ASaDk9qEAXgCwWAhxt5TyF2sNCCEEgK8AVADwuZTSVFrmKoBXAKwBhaKFAWgLYBLIoKkohLjd1At0Q7Jpk5oA2rNnSfUbWzRrRiERa9eSWtRrrzk2Q52SQrPB4eEUPtO4sWPnV4iJUY2T1FTHZpNLg8hIEg1Q8mtyc/WXEjZHXJyxceIozn4e1rjzTlosUVREXr/cXHUg7SxaL8XffwMbNpCCmSc4fJjyWK5dI6Pxttvo+5+XR15He/jwQ8r7mTiRwpIcNW60RrK5JNqjR8n7eegQ5d3Mnu1Y+67w4ov0G05LI4VAd1Zub9bMvBBBVhYwaBCtx8SwccJ4J7m5QO/e5DnNzyehlTNnrIcLp6ertX02bFAjKpgbBn80TnRDSjnN5KUjAF4VQlwA8CmA9wBYNU4ATAEwAMBfAEoodUkpDwDQjo4zAPwihNgKYDeAjgDuARlKtvrbxtzrBo+K72tNauucOKq0BdDNbvhwVc1EShqEZWbaV21+3z6gRw9aV8KdnGH+fJrliokxn7TtaW6/nQbHK1aQ/DOgrzxtQQHlIoSG0nUfYnAYLlxIoQlxcRSb7A4KCsjDkpZG3ydnE70BKiZ49930wHXGWDblppuARx6h2UKA5HItGSe//04qUHFxQNu2VLNFT/bvV9fbtCG5WoAMDHuNEyGoBsjQoerv64svaDIgPR14+WXr4Sa5ueQBS083P/hPSyPhA4CEEEoDKckgXbRIPWdKivPGyapVwPvvk5do4EBatxftOTMySif0kmEcJSGB6lo1a6beV65ft26cKJN3zA2LPxonimfEUlyE8nqKC+f4CsA0AC2FENFSSrOapEKID0DqYJsA3O1InoqUMk0IsRDAawBuhx3GidfywQfAxo00MBw3zvnZ4NBQGszn5VmO9967lwbXeXlULO7ff0vuExlJCcXp6SRJmpJin3Gilb/VJuw7yk03OX9saXLXXTRzHh6ub9hQZibwzDO0Hh2tGifu8HyYkpdHBR8B+j65YpyULauGLV244HLXABjLN1++bHm/L76gsCmAZu4HD6brevUqDVRdqeIOkDHSrRv9fqKigD//pPeak0OLI98H7W/rhx9I/QygWX9rxknz5uRBk9J8kr+2TtDx49Q/ZyYtHCE3t+RvPy3N8v4xMdSniAgyNk37l5Ghyqw7WhQ2OJhq3YSH0++ooMD975/xXoqKyDj1VgM1Pl4NPbPlidd6ztu2dW+/GK/EH42TI4a/lrQZFT09p6sBSilzhBDpAOIARAIoYZwIIaYBGAuqd9JbSulMXIwisWHHyNmL2b1bnVUeNqzk9k2b1Nj+Tp1o3zFjaCCTnU1VygcMoNnpEyesnysgQI3dt3YD/O8/+wwSLTEx1M/sbOOCcP5KWJj+uQyA64UsXSE8nGKdCwtpoJmX53yytRKOFxfnujSuwuDBlF9QoYJ1eVnT5P8LF1TvSfny1g0be4mPJwNV6VdgIJ3LlYKT2vwqe4uxCWF+0B0VRSpgSpHD0lAAMu3zypWWw/ny8tRk9tRU8+ICWrEPZwzchQsdP4bxT1atoudkdDR5vCdMIK/l1av0u920ybP9W7OG7r/2iHa0b0/PiWvXzJcEYPwefzRONhj+dhdCBGhzNYQQ0aAwqSxQ3RGnEEI0ABkm6QCumWwTAGYAeBrAbwD6SimdjYlRpthPOnm8d2CrzkleHr1eUKCGbqWnqwMsRyrKagea1m5qjhomACUGK7O+jPOEhlJoUE6OfqotP/5I3pi4OKBPH8pzMIcQQPfu9Dc6mmbbrRknL71Eg97YWODZZ41nzStW1F95pmVLWmzRowcZMMnJNDjXVmBOSqJZVD2Vu+bNs3/fQ4fo9xsfTwac9poNHUoTEFFR+hRPHDPG9TYcITOTvjtS0nXv29fyvtrJkchI8zPabdqQV6pyZcuqhIMHq6Fjn3zCEuiukptLE141alAuhL+Qnk4TBykp9B6DgylfAzC+P3gKR5+5oaH6h6syPoPfGSdSyhNCiHUgRa5RoNwQhYkgL8RsbY0TIURDw7GHNa/VApAqpbyubV8IUQ7AXMO/i6SUBZptAsAXAB4D8DOA+6WUObCCEKKtlHK7mdcfAvAASL54ia337dU89xyFcAQFmQ830Sr6KDOkztY5qVOHBmehocZJtKdOUVJutWoUDmLPAPBGZf9+ivmNjKR6MHpXPo+NtS3j7Gj8/KVLpOZ0+jQN+Kyxdq397X76qWrkPvus8TYh9DVM9u2jWOwyZUgly5o35vkS6WtkrAQH0+el5FV5gnffpVAzgIyaoUPVbffe64ke6UeNGjSJkp1t+75Upgx9DllZxt5C030U2W5LbNigxuBPnep4nxljxo9Xc3t27wZatPBod3RDW/BTqSmikJTkujS4s/z9NyXAlytHEQfa0FWGsYDfGScGngawFcB0IURXUG2SDqAaKEdBeRxaFAUt7WioE4BZQojNIM/FdQDVAfQC5a1sB/A/k3beBBkm2aBk9ldEyQHWbinlSs3/S4UQBYb2zoHUutoBaA+qifKklDLRvrftpbRqZX2WtGdPGgBqjZR33gHeeIOMFEekds3JEgNUoO9/ho+rTx9ygXuK2bNp0JuWRrP9L77oub6Y49NPKacBoMT1xx+nz8fd2vTff0+fUXIy8PDDdG570cYo6yWlmZOjGiYhIe4PQZs8WQ3TmT+fkuMdQa8k0pMn6TdXvrxzx1/XzOc4Kh9s2k5mJvUlOtozAytzBASQ4W5rJlgxXl393WjrnHjK4PQntKIDP/7oP8bJU08Bjz5K35eAAPq9/P67WtDVU4UP58xRZehnz7ZfVW7qVLoPXr1KnvDHH3dfHxmvw0vu9vpi8J60BfAWgJ4gg+IigE8ATLSzbsgOUH2TNgBagYojpgPYB/JkzJZS5pkcU8vwNxzAOAvtzgewUvP/TADdQOFmCSAD6TyAeQA+llLusaOvvo0QNPjThteYc0NfvkwDMGV22JEZfW2NEyVG/Pp1YOdOYNcukhiuW9e5/jtKaqoqX6xHboDeaGfgnnqKlgoV3K+gUlSkfk6OSgmPHg30708hDXqGMHz2mSqh6+5EU1fqnOjJ//4HLFtGFaa//NJ2EVVT6tYloYmkJNdmSWfMoFluAHj9deDtt63vX1jon5Wn166liYz09JITNevXAwcP0rb776fcG8Y6o0erKm/+NosfEmJ8/+vSxXN9UdBWp4+IIJVBwLaU8KVLaoX7ixfd1z/GK/Eq40QI8TKAHlJKl39RUsqzAIbbuW+JUYeUch+AYQ6ec5gTx7wPwAH9yBuY+fNJfhQgb8OHH9p/bMuW5KU4d04tpjdyJCXdAxRqZMs4OXCAaiuEhZHKkLMywDEx6rp2QOotNG5MD7Xz54EjBn0JPaWELaH1eGgTvu0hMpJC+vQkLIykcK1RWEgP3wsXqP+1alnf3xpNmtD73rKFwp+qVSMBiNJWYNq2jf4mJqoTAP/8Q8pdKSlkrNxyi+Xjp0/Xpx/aXDNL3tPsbMrJOHQIuHKFDKLSUCtavhxYsIAGUYMG0Yy1qxQV0WLqIbIW9jVnDskaA/TdY+PENlOmUO6OnjlZjGVuu43uYcuWkUccIAn21astHzNokHH47bVrlvdl/BKvMk5Alcw7eboTjJeiDfuypbBUVESz3Uoozh13qBKyCm3aqMbJzp22z79oEYWbAeRmfvNNe3pdkn79qE5KTIxrYS/u4tVXacnNpesnhL4P8pMngcWLqe06dSjMDqBE6cREMhTdGb6yaxdw7BjNRt92m3U5W1u8/z4V8wQoef6DD1xrC6BwqqtXaYbx6tWSRTqvX6fwiLg48gLqmdSblUWJ3teu0WeuqNKtWKG+t+Bg68aJNf75hwbU6enAzTeXzOPREhFBCbHp6cYGvZawMEooVzxt585Zn5F1lexsit0/doyuCWA5LEhRNbPlzXn9daptc/EiMHcu8NBD9vdH+zuxJmnMqDirzsc4hxK2vHkz3W8BmkSwhtbbsnix+oxgbhi8zThh/JHZs2mWsaCAvBXaBFmAjI7CQhr0mHuQK8pDCQlU+yAvz7o7PixMzRUoKLA8OGjfnjTUW7dWiytaQ+s9cCX/wNGQNE8REkJ5FyEh+s5GHzpExg9AUrXKg8eeOH5zXL9OBo29BtSMGcDXX9P6V1+5ZpxoDQc9a50oD+fLl0saJ2fOqNevWTPVOMnIIG/XtWv0/bImRWyJiAjy3OTnkxGpzOK74tXSkphI1xyg37U142TCBFqsIQR5C7Zupf9PnHCvcTJ3LjBqlPFrloyCn36icNHQUAq5siT7m5Wlhro4+h3q3Jl+n9HRLPJxo5ORUTI8Wouni3SWLUu/hfh420V2CwtVVbzWrUtfcp7xOGycMO7n9Gm1mrq5Wd65c4Enn6T1xx+nZOyFC+m17GxKDP76a/pf2c8a2huwtUTuzp2p3om9NG5M0qHZ2fqHEHkjQhgrnumFnnVOrlwhj1j79jQjb0/OgZ6zzVWq0EO3ShX9ZC9nzaL3UaGC+RoalpL/Z85URR/GjgWmTXO+D8HBxkZbu3Y0KI+Nta0uZQ3ttdcmervC1KnU3/r1HRPPcAZtqFnNmjTxUrOm+X0VKeHcXBpkWUJrfNqaUTblwQdpYWwzaxaF5t53H32HvUVgQS/69QPWrSPjZM0aCr/8+mvyyF65QrLbb73luf41akTPTnsMpB07yEC5fl0/gRPGp/CzXyfjldiqc6IN19LuqwwEHM13CA1VZ/zz8vRTmRoxghbGNerVo9yh3FzXKpmnptID+NAhWoqKKDzGFq1bU/J8TIz1GP1ffqFQvthYKr55zz0l97nzTscHlLbo2NH69ipVVFUzbZ6U1hund4x216602CI1laRv4+OpbodpHlfz5jSgj4oiWV496NDBteOTkuhapqZSGJs1g1lK8u5lZgLDh1PNHEvk5qqzv9buQUOHkmelYsWS+23bRkZhdDSFwU2a5Nh7Y1TmzAG2byfP6RdfUN5DUZHlIpq+hmLsa8OZc3IoTxIgA8WTOOq1CQz0jQgDxi2wccK4n+HDaRAZFETx7OYIDiYjxVydE0s1Aixx5Qq1o9wMk5JoxqhqVRoY+3qtBXezdCldv6gommHUOyG7eXNaLCElGaaRkdZDtaKiaGC6bx/tZ2/uxSOP2CfTu2sXiTAAZPCaM070IjeXqo2XKUMD+3btLO9bv76xHKpC5cok0lCunPNiDa5y6BDNTAMUMmnqmaxWzX4p0dKiY0dV+GH/fjXPxhwvv0xLYSENbK0xfDgwbBjdv6ztay3M8/JlmkUGnAt5ZIizZ8kwUVC+gx07ql59X0cIGtAXFqoeSu33yhPGyaVLJBGfkECCDbfe6lw7hYV0j/dkWBpTqrBxwrifWrWsqxiNGkWLlGr4w91300xmeLjj7nfTmNtTp1QFoRYtPG+cpKRQMn5qKr03d0v0OsrQoWpIyvXr9MDLyqJBs7uVo5o1owFuYSGFA1oyZgHq1+zZNEvYvj0wcKC+fdHmVsTG6tu2KVeukEINQB4HZ/JXunennAtnOXOGpGk7dKBCpc7I8mq9SK5KOh84QL+PqCgKcXNXGI5WttneML/AQPuujxDGEy2Oog0ju9FrnGzeDBw+TGFsjhpqFSvSd3vFCspP2rWLXvdGtURn2bKFnp9K1ABAnt0DB8hI8YT4yuHDasHYW28F/vrLseNbt6b70vXr9Fnd6L+BGwi3GieGSu2O0NgtHWF8AyHUmRFziX2HD9PgJziYcj7sHfyYq3GikJZGhbh27iTPja3K5XoQEUHJxgANuDydqKilqEg1TADK51C05nfsoIeFu8+vqBylpFg3TgCaTXPXZzZoEA3SU1Jsh1q5iqUaJ6X53Vi3Ti10NmgQzXg6SmwsebCSklwL2QOAXr1oYALQ78WWTLOU9FsvX956rlRBAcnJjhlDv8Xq1UmAoEwZ76uTctddJOGclmb+fnf6NH1OaWnklXrqqdLvY2mQmEhqfkVFZLg7qpQYHKyGJiYmUv5gTIztxGxfw9QYjo11/8SKNbThpQkJdJ+7epXuDw0amO9bWhrdc8uVo+OVCY9r19g4uYFwt+fEwepdAAArmYPMDc2kScC339L6vHklVb8s0bgx1UQ5d65kjkFmpqq9HhkJfPyx5QHK6tUUmx4eToN2Zx9sSrXxnBwaKGVnu7/6ur0UFNDANDOTjDXtoLk0a51ERBgXg/QErVrRYourV2mQeP48GUvOhH+FhVFCa1oahfK0bEketZYtKfelNFDqmwAllZ9ycqg2REoKfS8++sh8Gx07kkqVHjjiNXjoIWDVKjpmyxbrUscvvkjvZckSOkaRE3eE9HRgwAC1GrejM8LmUGrmJCQYq6RZC/E7cwYYZ6j327Gj/xonf/1FhklUFBkXrlCzpvEEDOM+atWi+mJXr6re7XWGOes1a2gCwpQff1SfyVqSklyrI8X4FO42TvibxOhHXp66bk2rPjdXXcqUoRh9RWvdlEqVyOV/6RINho8do9lyc7z9Ns1iAhQa4Mqs24ED9KAtU8Y9iljOEhJiPGPeowcNDMPDrSsOOcKvvwKbNtGAvHNn4zjkNWvodXPX5No1Cuno1o3CFZz14ly7RgPo9HSaubMn/8Qa772nKmOFhQF//EHJy45Qty7l+gDkxWvThtbNhXfNm0eehLg4kmHWSznulltoELFtm1qoVMsrr9DfoCAy9p3x6EhJhkR6OhkSv/1meTKgXj0K58jIsK3CVVCgGjOHDlk2TrZuJcMEoOu8YIH6vuzh/Hnqb3AwfY8BWjfn4VJCxCIjbXtkbrsN+PtvMlAOHrS/mOKNUudEyTvMyPAeLzNjmzZt1HsZoD4/ActCItoaJ336kHhB2bKlX4yW8ShuNU6klKfd2T7jIyxdCrz7Lg0gBgwo6ZJPTydDIjiYZsyVm5CU9HpeHrng69enQUd+vnUVj06d1FngrVttDxRHjqRZudatrcvBahPzXYkjBzyXsOwoygBMTzZsUBO6J00yNk60IU2m/PEHxY2vX0+za1u2OHf+M2dU1bUWLVw3Tl57jbxqx47R/64mnmpr+Fy+XHL7okXq51K/vrFxcuQIGTRXr5Jhae16mjJ8OC3mjNCwMGNvX1aWcwnaQpC3QvGKZWZaLrD4zz/2t6sM5uPirM+K33ILSS6PGUMDH0V62V769ClZsDU/Xy1YquXpp4HvvqP1BQuAIUMstxsQoIYzXrhgv3GiKLdFR/uP6pQ5oqIoHy0lhSaUHEHJXfNno6aggIp4RkfTtTKXn5WVRZNPnpRQrl6dvB/x8ZYnHAID6TO+do1ENazVNGP8Fk6IZ9xPcjKwezetmzMUJkygWgUAzci++CKFYFWvTgOlypVpxvKtt+zTadd6VbTeFkuMH297H4DCdZo2pQGaq8m+NzJKgUzAMa/R+vXqejdnIkYNaAfDetTaiI8H1q6lGjhz5gA33eRaexUrkspVxYqUP2GKpTonAPDAA8CePbT+33/0cHcUS4O4V16hgY0jBS/NER2tGifWqr87wtNPU0hTuXK2B6EjR9JAt2VLx9+HNtRs+nQK+4uJMT+rqw1LtDWZoQy4y5Y1PoctypUzr9zmbzhbzyUriwy9ihVJCOX99/1zBv7cOTXkqVo1NVcLoLylv/6i7+OuXZ4t1jl5Mi3WeOYZWqQ0X3qAuSFg44RxP9qZGm1NEwXtDUjZNyxMncF1VEo4KooWvcOl3nlH3/ZuVHr1ogF9To5jA/nx4ymufv16UnNzlvh48pZER1ufhR04kAa6sbGUY2Et76FuXVXS2FUCA60bFaNGAT17kpFiWivEnbVO7DHif/pJVXZr186852bmTPobHa2fgpCj9RC0AgepqTS7nppK/bEmJRwfTwZjRgZJJlvzVihy3JmZtnPKZs0i2WrTe9bo0eQxjIqi8EF7as34M1JSOJAQ9k0Q/for5cqdOkW5W8okmFLbJi2NErN9XaZZO8liep/KzVUNZU/XOnEEIfzTkGTswt1qXXZMW5dASim9KAifcZl77qFQiKAg84OR8HB6PT9fnWFU/gYHO36DWrtWXS8qolCySpVoIPHii/oMIPWioIAeuN5yEz59mh7oUVGUOGotsdhZ7ryTFkvk59PAQQjjQWeVKiSCYK8QgiXi4tT6JZaQkuqOKMb0xx/bbtfc96qggF639Z37+28KySpThmY2rSV+WgtDa9WKBiPlynmmsvLEiWpdjn/+MV8g0dNS3qYsX66G+T3yiPXvxtat9re7ZAn91UqkW8KSolJiIuXQAJzE/fHH5GVPTSUP+htv2D7m0iUarKenq/V3ADLulbonlr6nvkRBAUUYpKeXnBBQvK/Bwfp4ih1h6lSKXkhIoMK3ziqH5ebSZJYjYaruoLDQ+xT9/BR3e06CAOQDcEK0n/EbEhKsJ4+bc/VGRNAN19UbwbVraqJxbKzjMebuYvRoYO5cGnDMn+963oNe7NoFPPkkrffpQ8nxKSk0+xgba322MjubZiIzM2lw7Izs44IFqlLLkCH0vyfIzlYNk9BQ53KM0tLIMG7XzrbX7bvvgM8+o/VPPqGwBmf44APnjtu5kwbeFStSyFODBs61o1edk+RkkrCOjqZ2XKkmP348Jda/+qp5T5l2wOOOuhdaiXRHsTYjfqMRHq5+PvbW83nqKTI8N2wggQUFd3/mpU2rVhT6DJQ0hGfMoHpQMTGln3czdarar27dHDdOfv6ZQlXT0ylsduVKvXtoP7m5dA2rVaNcv9WrvWui089wt3FSACAYQDKAOQC+k1KmuPmcjD+gVLvVsnkzhVMEB9OAz55YdWs1TrQsXUozqDt3UvJ+v37O9dtepFRnQr1JZUcb7x4VRYPq996j/99+G3j9dcvHakNXFi2ih4qjaAdg2iKIpU1wMD0YU1IcDysEKCG9a1cK9Vq3jtY7d7a8v6U6J/n5NFtnmmytN7/+SoN3AHjpJeeNnHvvpWrcSUmOh1pp2blTzSvq3JlCm+whJYU8DRUqkOjEpUuUx5adTflA27aR8aWlQgUK5SpTxrJSn6dYtIgMq/R0y0nyH39MHs/0dLp3+WMC8datakiSo17m0FDylGipWpW8kzEx1pUffRFTA8RTtVykNA4tLVeOvChHj9L9obAQ6NKl5HH//kuRFOXK0TNFMdD1DlN1lMRE6v+JE3RfZsPErbjbOKkKYCiAEQA+BfChEGI5gDlSyg1uPjfjbzzzjFrZ196CgDVq0AP+7FnrcqRbt6oSukeOlNxeUEDF/sLCqB1zOuyOoAxAhSid+iH2Urs28Oij5P24+WZjA8FaP4uKjP939j3FxdFNPy5ONXaKisho0iNx2l6Cg0sOaBwhLs7Y27J2rXXj5Lbb6LuQmkrqW5Mm0axjUhLlu7zwgvN9sYdLl9R1S4PbNWtI+jclhTxC5vJ+FEllV9F6DGzJCCtMmEBhZQB5SyZMABYuVL+LDRqYzyfp2BHYv9/xPr71FlUcT0sjY87VCY2CAhqAX7sGNG9Or1WqZFudas4ctf9jxvincTJihHpf3r2bale5wrx5rvboxmX3blJLfOMN656YoiL6PV67Rp7QiAjK/VEmB6pXJ6NaS36+GmInhCruERion5S9s2hFBs6cIW+UEmXA6I67pYSvAPgQZJTcCuAxAP0BPCiESATwNYD5UspzllthGANa5S1rs2cZGTRgyM2lQaI9M/iVK6vr5pIGs7KA55+n9eho142TV1+lJTLSuyQub7nFOM/ks88o1Cc83HpYiWk8vLUwqI8/podUWBjwxBPGUri33kqDNO012b2b6m60b0+D4ueec+QdmWfxYupDWhopPektwxoURGpOmzfTDGCLFtb3f+IJWhQ2bVJDpLRywomJ5M2Ki6PB9mOP6dPfW2+l38ulS5Yru2trhNSp47wowWef0aA+PZ1ywAYMKLlPTAwZbOnpxuE41qheXV1X8jSee468Ia+/TsaEK7Od2dk06xsdTf07f15VITR3z1C+45GRdIy137lifEtJx2Rl2X9f0P4uSzunoLTQTpKUdi5Vfj55P69cofvFs8+W7vm9idOnSdDk4kXyIHz5pWXPU2Ag8PLLxq9pQz3N1TkxDQtt1Ig8h7Gxnn9O3nkn3R8rVqT/R48m6XV/87x5CaWm1iWl3AxgsxBiDIDBAB4F8DaACUKIdQCekVLaGUjK+BSbNtHMV0EBcPvtwDffGG+/eJEGRkFB5IJWQliys+khnZ1Ns4EdO1JSdH6+9Vn0V18lLwdgf/z+PfeQl6VCBfNF7bSeAD1CbOydDfY0o0bRYovgYJqNTE8nd701g3DpUrVGSe/extfb3OBx/Xpq8++/9asQPH26mtzcq5d7akR06OB8oq0y+y2EsSRtYiLNlANkUJgaJ+npdG2vXaPf06BB9p1vwADzRoIWbby4KyF3x48Dv/9O62fPmt+nSxfzIR/WaNSIQnjq1ycxB4CuX69eJKfqKkePqjKsTZsae9bMhWY2bKhOqGRnW79vREbSzHJmJoURpqbaH5//1FPktYmJ0a8gp7fRvj0Z6Skp9l2XzEwygJs1o8/BFeXGggK6TwH0fRo92vuSoi9dou+MooBn+l2Tkr6jaWmUM+EsU6fS8xqg/I/XXqPfm73ExJD3UslfNE0wz82lkO2rV2ksEBTkGWEPS1SoQOOE06fpe3HsmHV1P8ZpSl1KWEqZDmA2gNkGb8r3AHoCaAKAjRN/JDdXTWBUbmxanniCkssAKtDWpw+tt2mjzoDu309uVHvQPoi0NTWs0aCB9STg0FCaMcvOti0LeiMSGmq/ipY2h8MeQy8xkQYFUrpW30SLt1fWHjiQPBPKA1rBWo0TgAb7ykC8fn37jRN76NwZmDKFBha2PEHW0BrmjtT0sEX79jQoNTdw1GPWVdvX6GgapD74IA24TEOpCgpUw0QI24NjIWjiJTmZvLhpafYbJ656cX2BH390bP99+9Tr0ry5Gh7kDIr8MKBKGZurP+RJPv5YrXfz7rtq/hgAnDxJhnteHoXt2ismYI4pU+gZOH8+GSeOGCYAfc+thVDWqGFcRd4b6dSJclmbNHF/LiAA/PADTZ6Wxrm8CI/UORFC3A7ynPQDEAHgOIBET/SFKQW0gytzRZW0tU+04VraH6MjOQyxseR6DQ3VT78+NtY+OVnGNv/7H1XBzs21bxbv888pJGfDBvK86UG/fjTAjo6mGiWmLFlCKjexscD99wPDhulzXnuJjjYfRteyJdUJSU4270XSJqFfvapvn9q2tV5/5dAhqiVRtiwNhtq3N7/fww/T5xgd7ZoKlymuzGb/9x9d09RUSuo3FzYaGEgz8enpZEjUqGG5/7m59PlkZpI30B7j6OBB4/eQlkYeIKUezz//OPPO/I+0NBpgR0ZaHhzv26eum8tPSUtTa9uUKVNSJEHL9evG/3tjIrQ1Vbe4ONVQdrXOSVAQTRI+84zl8E9/x5YMvV5ISSG8b75JxsnSpZRr++OPFI3y55/GYys/o9TemRCiEoBhAIYDqAMgB8AyUHL8n6XVD8YDdOhAIRFBQea9DuXLU7x4QYGxMREXpyYWO5IM99prtAA0CF2/nsJ2JkzQr+ibHhQV0eAlN9dziiqm/PST+uDv2pVm2vRm4EDr2zMyaECQnKyGZCQk2A47coTHH7e+/fhxqqoMuN9tLyXNesbE0EBp8GDLg9latajCuSXKliXvUkIC/a6kLL1Y7X/+UfOyHnnEsnFSv77jM66OcPAg/f4nTlQTy23Rq5eqBnTpkvmk8ptuInlje4iMpBlrRzA1rtLT6TeQnGy+eO2NyOzZ6vf/iScse9MrVybp2b17zXv51q5VK84PGKDWpDGHNqzyiy+8516tpWxZmmRJTy/5jIuNpWevch/Ny3MtT0LxBD74ID0rqlYlpUtT1q4lxcNy5ShE89ZbnTuflPRMuHaN+u8JSe2iIppQq1y59IzTDRvIMAHouTx5Mn3fLxgqc2zdqt9knTcipXTbAiAQwH0AVgPIA1AE4D8AIwHEuPPcvBh9Djtat24tbziKiqQMC1NKoEmZmurpHqns2iWlENSvli093RuVfv3U67VkiZTZ2VIeOSLl7t1SHjxo/disLClPnJBy714pjx1zvg/166t9sHVOd/HSS2ofJk92vp3Ro6Xs31/KTp2kzM01v096unqu8HDnz+UsV65I+fLLUk6bJuWqVc6389FH6vsYO9a1Pm3fLuXatVJu2iTl1auOHav9Dn/4oX3H1KmjHnPkiOP9dQeHDql9qlfP073xDlavVq9Jly72HVNUVPK1tWvVdnr0sN1GXp6Uly/Tb9UXycpy/JiPPpKyZk0pv/665LbDh9XrV62a+ePHjVP3efttx8+v0L+/2s7Spc634wpnztD5w8KkvPXW0jlnUZGUr7xC573zTikzMqQcOVK9Fi++WDr9cJLWrVtLADukk+NWd3tOLgBIAHAdwOcgL8k+64cwjAUWL6bZxeBgSlC0FcZx/bqa3xATY1uKduhQmnW9fJlmgbUKXnoTFaV6g7wp50E7SxgZSW5kZcbr5pstV8j+80/KSVDe0733UkKqM2hzKbQ5FqXJ6NE0m56SYrm+hD0sXqyGVyUlmZeFtVTjBKDv7+XL9F10tL6DvZw8qcart2mj5nw5SsuWFO6RlGTZa2IvU6ao0t4LFlBBTnvIzKQkWwV7k+pvuYVCqMqUcd91dpR69ei7k55uPhxWYcMGulbp6aQopFS79xfOnqU8hLg4ur+EhJBH115xDHOew3LlKNyrTBn7ft/Bwd6XZ+II1tQTr12j5HTT6/Tff5TvN2IE3Qe1Kok1a6p5gOfOkfffNK9KW5dE6206dYoSyZOSyLOp9Uzv2kXPw3LlKGQyMtI490rvUFV7UfJ0cnJKz4spBEnK161L97+wMIo6yM+ne7Re+ZdeiruNk3KgCvEHATQGMEXYDjGQUsoebu4X44s89JD6kM7NtW2cREeTlOu5c8aDbkvs3q2GbVy6ZGycHDlCrv/wcAo1UtRbnEUxlCIjnas+7i7uu49CbjIz6QGkTV63lvdz7Jhx6J0ric6VK1NMvxBUo6Zu3dIfGFSvbixN6ywJCeoD9do188ZJWBgVPkxNNQ57bNOGihECwIEDrtd2sIS2xokik2mO7GwaoKSk0ANy2TLj7V270qIHpsVA7eXoUbWK9IAB9tVCAkoqCNrD/v0UNpqWRmIaGzc63oaWggISDLlwgUJH2rWj74+tMKLDh0nSFaD7ir8ZJ5s20b0fIBXArCzX1bLatqXf1I2OlDSpFBREEzLKIBgwvt8vW0bbFcM9NJRqCFWqRApx5sLEhgwhw+/aNfouK3z+OdVuAqjAr9Y4ee89SgAHqP0HH6Tvf3g4GSyeUklLTSUDLimJ3u/27WS8HThAtYWsienYg5T0fu++29gYE4Lqjil07my9XpYfURo5J8EAbnNgfw9X2mG8EimNZw+tzW6mp9MDPi+PBrkdO9p3Dm2cuXbABlCCpRL/ef/9rhsn5crRAM/bEtq0tTYAyr2oU4cGzdbqTZjWV7CW6DxsGD1kQkNJ0tf0Gijxy8uX0+Dv009pcPLtt3a/DZvs2UMP3LQ0oFUr+5XGHOWdd+hzTkhQ5W1NiY83X5Fda6hcukTGyYQJ9JnExdFgwdWHIkDG6Ntv0zms5dcEB6sx/kJQHLYz8deHD1N9gPR0+m6tWlVyn9at6febkWG7CKGWVq3Ii3DkiJr/ohfHj5OhGRVFcfYBAWQMASWVtVJTadY5MpI+K219B0ts3qwOPDp2pP/tQesR9sc6J1rZ6rJlPTNAPXVKrXVSt66ar+LrbNqkqmc9+yzQv79qnLzxBt2rg4LII2f6zLWlBNipEy2mWKt1ok3YV8Q93nmHjBZP0rcvLampZLQ99ZQ6CdKhg2v34VOnqJjjb79Zz6O6wXD3yEinogSMT3PsGBVUKyigwci2bcbbDx2ibcHB5K5XZmHS0iisJzubHkqDBtFAr7DQepLvypWUkAtQcvF339nXz/feoyTaChXIqNGinUXSw9MhhPcZJuaoW5cGZba45x4asKWn02zZzTeb309KY7WTzz6z3Ob69eq6Hl4MLQcP0oAcoBA0dxkn99/v/LEVK9J3pHx5VRL7119V1aYHHjD/UNy7l2b2rl6l3522qKY5GjWiIoW2CAqigXlGBn2O6eklw9DsobBQfQ9FReb3mTDB8XYV9JRP1vLpp2RMA8C0aTSQUzANzdy0SQ2Pu/tuVSrdGlojzJzkuiU6dCAFN0vKc75O9eo0MLQ3xHLNGprRbtZM9T65ghLmqyTi9+njfcbJtm303IyOpnA3UwOusJDCnK9epX0UlcQjR+h5lp1NKnra37MtdT5nadCAwi3j40sKVrRsSWOBq1dVL6431ZQpU4aWpk1V48RVD9yOHWSYACS48NBDdN++wXF3hfjT7myf8SGUKtfm1LL69iUDBqBZVWXA9eabakXqqVPVGHRbaGNftVXlbdGmjeVtTZuSdnxODs3OMsbUrWvfwEhbdyYkxLqR2awZ5bv884/+8bXaQc6ff9ID0duMxW++oe+y1jthq84JQOGH775L6xMn2jZOHGHGDPrcYmOd19331Yrm2r5GRdHg6eBBGqyYKgiZ5m7ZQ+XK1GblyjRJI+1UWrP3t+er3HMPLfayaBHlKQE0+fH0086fOz+/ZKijPXK8x4/T4Lu0Kpt3764ayNevl7w3fPCBWvvkpZdUT+0TT5CRPXeuPoVK7eG++2gxh6/I9d92GxkRTZu6HmbVrx9NkP34IzB2rP2hqADlCyYk2M6n9UG87GnM+CXO1jnReigcqXMSF0cP69BQ/Sp/t2rFRokeBAbSoDs31zhx2RxPPUVLerr+BahatKDkwltuoZltU8OkQwea1Y+NJX15ZzwErmLOQzd9Os2qJydb/m5rZ4r1TiC15mF65x26jmXL0oPbUrHSihUpZCk62nseqidPUuhmairllJlL6K9Vi74XGRmqV8vSTH5EBA1csrLsF9aIjjb2mHz4IYXWREfToEWRR7/RUYr6Hj9O18Z0cKitcWJNSnrHDhrIp6aS8WOuUKapIMcrr9gXwtOuHXl6wsMpod+esD5nkbJkgVBTtDl7psZV2bLACy+41of8fO8RkigNunenRQ+EICN63Dj7hUTmzCHv7YEDZFiWdh2uUkAX40QIMQ7ALgC7pZSXbO3P3GBUq0YP3aAg8zew+vVpdjE/33gQmpBAx4aFOTaIufNO8sQMGkSDoPvuo5lkdyUUO0tODs12paXRAMbTleelpPCeiAj6PJ59Vv9Zv+Bg2xWts7JIxCA5mfrhjmJfQpCSljmkpER0xZC2Vd3bVf74g5Kpy5QhT1GHDpb3teeB2LIlhTWWK1e64QHvvUefHWA97CUkxP48sNJi2TIqDgpQroq5QcIbb9BiD336OK96ppCeTgPx3Fyuc6JlzRqabQZott/UOBkzhgyPvXut3zv69FFrRpw5Y74gbGYmPYeSkylnzJ7ch6wsNU+moMCyh1Mv8vIojDY9ndbNeYArVKCJlvLljQu1usKZM5T0fuIEvUdteFNyMvDYY2qu3bhxzp9HSspNuXaNnpWuKgE6SlYW5SjWqUPXzh2esMqVHVMHvX5dvd4//uiXxoledTSKABQalosAfgYwCcBAAPUsHDMMwDoAvfToAy9c56QE2noZe/c6dqw5bXy9uf12tX8bNrj/fLbIzlb7ExKivr57t5Rbtki5fr2UBQXW29i3T8q//5byt9+kLCx0rh9Ll6r9uPde59pwhYwM9fxhYa61tXWrlH36SHnzzVI+/7z5fV57TT3fhAmunc8Zxo6V8oUXqCaIs3UctN+doCDXfj9FRVLOm0ffg19+KZ3f4uzZav8ffdT957OH555T+/TRR861kZYm5cMPU12P/Hx9++cpdu9Wr0v9+s6306iR2s7+/db3LSqSMjPTvnbPnaN+RUZKWaOG8/3zdlJS1OsXGmp8vz9wQJ/PSErjOlBhYaVzP9CybZt6/g4d9GnT3u+SJZQaSGFhUj7wgD590hlvqXMiASjmZAUA3Q0LAEAIkQlgLwzeFQAHANQF0A1ANIC1OvWD8VdSU2mmOySEZmn69rW+vzToryvYE9516hQlMF++TDNMu3e71GWbaL1B3lDrxFKc/O23q/1LTi6pTATQbPOhQ8Avv6ivpaU5V83X03VOwsIo9yklxT4JamukptLMFmBZEtdanZOMDFLRysw0X+naVaQkdRglbPLJJ51v5733aEYvL8+12cWcHHUmMDTUWM7aXdSrRwp8ZcpQJXhHUYYvelaPnjKFQuUyMqyHNeblkXywMnP+88/qtuXLSeXu228pCfn33/XrX2mxaBGFgMbGkvpTnToUYlenjms1iDp0IBGCMmVse0eFsN+zXaUK3T9OnCBhiunTqf6PN/HII+RhHT7cec9OmTKqvG5BAYWLKfk52honpp4aKUkgIimJ7hfPPUfX9/x5yv9TapzUr0/7R0bS55ObS/eCrCz787j0QKlxAjimHGiNTp3Ia9emDeXV2luzR6FBA2DtWno2l+a1KEX0Mk6iAbQA0ApAa8PfJgAU8esoALcAMCfh44aYDcbvuHhRHTjVr2/bOAFosHzuHC3mBtSmhIerBolpIv3y5aSIEh5Ogxg9VEyUGgZlyniHIklICA2GMjONQwPCw1XjJDvb/LXcurWkCltGhnPGidJ+/fqll+eTnU0P1xo16LPQQ6IXsC//4+67Ke47NdX4e3XqFCVGAxRycuaMPn3Skp6uGibh4bZrinz3HSXcJydTMq1SfyI8nOLx9cDZGieu4Gz9gHvuIWWujAxgyxbnDBst166RPPHFizRgad3a9qA4OJhqJEiDCr9W3EErv93DR8uHjRtHssyAKm1+8qTr7c6d63obligspDBiJRxv6FDP5K2ZY/du1WB96y0yCpwd4K5ZQ8ZE9erGz4xGjeg+cfVqSREcISjsU5n4efRRujbbtqnFVu+5R53UEYJySHNz6X6amVm6A/LgYDLkTpyg757C/v1kOB84QL/7l1+2r728PAo5zMsjA2XePMf7JETpCRh4CF2MEyllFoC/DQsAQAgRBDJQFGOlg2HddBS2S48+MH6OpaR5c+TkkIpObi7tO3CgfedISFCr3l6/bpzk98svaqGzSpX0MU7c+XB0huho80m3rVvTYNSahLJWySg83LKU8JEjdBMPDaUHmDnJ2JYt6fpu304ze+7k4EHqz++/0yyU1vOjB/Xrk2GbkGC5wGHPnrSYok1ivXyZ8mBeeolmOtu3V3MkXCEoCPj6a2o/N9e2x+PoUXXQ4IpKTf/+9H4yMijnRpsbEBBAM7vp6Z7Pw9Ly889kwEdF0YxnUJCaNwYYez8PH6bfTEQEGbz2TI4ANFB56SVaf/ZZ+5R7hKA+Kb/BjAz1fFOm0CB00SKSVfdFtHVO7L2O7uCnn6jw3pUrlE9h7RkQFEQTHEoNkUOHXDdc9eKrr9T1u+5ybaBvKT+uXDkqgmqJ+HjVOElKIuPEmrdFuY6eoH9/WqQ0HoccPaqqImZm2m+cJCbS9yMvj/JxzCmYMu5T65JSFgDYY1jmAoAQogKAFwGMBeWnvA1gprv6wHgJ2dk0OFNqmZhWD//rLzVZvk0bdYCUmQmcPk3HJyXRAyE/37Zr9fRpVRa4Xj21UJotgoJoQJyQQANDrRGkVQvTWznK21lrR9Tl11/TwyUjgx54lgQMrlxRi+517GjeOAkIIPnga9eMC2O6g6gotQbFhg3Ufz1n62NiLMtm2iIykr6LERFk2Bw9SgN5gAbF1oyTuXPJY3jtGj1ALb2niAjHDEC9Qu7OnyfPEGAc1gbQwEVbC8dbGDBAHVApIYva77n2vjZpkuq1mDfP/jo62qRYJVnbHubMoftXdLSxQdeiBS0ffKBvyFlpMngwTRYlJ9v2Pjz4IN27mzUjr56r9+rLl+neHxdHlcuVz7R9e9sTVLffTn1p3Ni9RtWFC5SwHR2tylCb49IlWrp1o32++YYKuXqCPn3I6IyPVye9qlenicSrV62rrHkKIdQabIDxhIojtU7q16f7x+HD+qsp+hGlKiUspbwM4CUhxH8AFgHoAeB9d5xLCFEVwFsAegKIByXqrwQwUUpp11NVCLERgJkSp8WESylLBEQLIRoDmADgDgAxAE6D3u9kKaVZTVwhxC0AXgdwE4BwAMcAfA3gUymlDc1VLycoSFXxUUIPFKSkm7iCtijbn39SyAtAM8vaWGpraG8g2roa9mBppnLQIHrIZGfTzD5jjDWFKS3az8PawCEw0P2GCUAPxObNyc1epw4ZttaqpJc2V66oxrrW/W8rTvytt9RQmDFj9KuDcffdNNsXG2u54r09aI0l08kKb6SoyDj/SDEAvviCZqKjo43DWpypcwLQoLFtWxpkNmlC4UH2hHxam6VOSiI1uJMn6Xvz2GP298cbsFaoVUtqKnmIAJpY0qOw6vvvk2SrKdZqnezZQ7/Zt96iWXF31zn580/VKzZwoGUVwt69ScUMoMmf555zb7+s8emnJV+z5EH2VurUoVDWJk0cf2YEBur3nDl1irx6cXG2lTB9CI/UOZFSLhFCPADgXpAX5SM92xdC1AGwFUB5AKsAHAbQHsCzAHoKITpKKZMcaHKihddLFO0QQnQA8AeAYABLAZwF0AXAmwC6CiG6SilzTY7pC2AZgBwAiwFcB3APgGkAOgKw8uTxAbQPV9M6J9r/AwONb+TO1jmJjCQDIjRUvwS2u+9WDSXGeZo3pzAnJX7YG5g5kwwhJZ74q6/IoxMbS14FV2sAuIL299CzJ1WIT06mpFtrlCunGidXr+pnnNSrR4spq1cD69bRYKxbN5JEtsYXX9DAOzraO8IaCgspRj4tjYwl0888P5/i4DMyaF25p1mqX1GvHhnsihStvdx0E4UOAfSZTZhAhpBiPDvDoUNqNfu2bX3PODFHWhrw99+UBxAeTr9TbehPo0a2w39PnaLrmpZGs9nmJli03sEHHqBQrfLlrUthjx5NEvYAhYt26WL/+3IGbUittRw/01onehpNeXnklaleXb82vZ3AQPukpd3Jzz8DvXrResuWbJzoxDIA9wF4CDobJwA+Bxkmz0gpi010IcRUAM8BeBfASHsbk1JOsGc/IUQgKIQtAkBfKeWPhtcDACwB0M9w/smaY2IAfAkKc7tDSrnd8PobICOnvxBikJRykb399ToCAugGGhREi9RUPi4qooFMfn7JsIPYWCqIFh5ufkBkifLlKaxr9Woyfn75xTtnZHJy6IaelkZeBEWdxFP8+y8lPEdGUhExZ8ORrFG+vHvadQXTCuqXL1PY0fnzNOvsbp57jn4XZcoAL75o2aNUsaLlvBVTHnqIjIRy5czXb9CbTZvU2dDQUNvGiaPqNO4mIICumeK5feYZ48FtaKiaa2MPkyfb3scWyqAzK8vx3Jtjx+gaBwUZh/nokUjuDRw+rN7TmzUj46RJEwoZ3bfPvuTzFStUI/TZZ80bJ2XKkNJjcjJ5p5T6KtbQhuPZmkTQg0qVqP5Rerr1Z0j9+lQQslw5/UJXk5LoWXv2LD2vlfvl2LFkOCYkUC5Gw4aunSctjSZbrl5Vw/ZKgytXyOtYpw5NFniLqIHCrbdSpEheHgkdnDnjPwaisxrEri6gkKciAOk6t1sHJG18CkCAybZoABkAMgFE2tHWRrpEdp+7i+Hcf5rZVtuwLRGA0Lw+wvD6fEfac/Ca3Hh1Trp3V7XJV692/Pj8fNe1yG2xYoXaxz593Hsue/jqK7U/w4errx84IOWvv0q5cqWUZ89ab+P4caqHsmqVlCdOuLe/7uLFF9Xr8P77rrc3bpyUbdpQzYPffjPeVlQkZWCger6cHNfP5wgffEA6+c8+K+XOnc63M2KE+h5mz3atT/v2SfnZZ1LOny/lf/+51pYjxMaq7+HatdI7ryXKl1f740j9mYICKStXlrJiRaqVkpwsZd++Uo4ZI+W0ac7XH/ImkpLUaxMR4Vztiy+/NH+/s4S957j7bikbNpQyOprqzPgzhYVUa0O5jsnJ9Hrr1upr27a5fp6ZM9X2Hn/c9fbsZdUq9bx33ul6e1evSrlrl5R5ea63pdC3r5S9ekk5a5Z6/b0Ar6hzIoRoBuCAlLLI5s4qSkC53iL2ioTMOtP+SCnThRBbQDVYbgJgl+i7IQStFoA8AIcA/CFNQrMMKP7bEpI/UsqTQoijAOqDDJUTto4BsAlAFoBbhBChFs55Y3DsGMVVhoTQDIYtT8j58+q6PTVOFObMoTjSpCSa/Zk61anu2oU9dU5++YWS7R57zLVZm8xMCleqUQO4917z+2hj/7Vx8m+/rcZyL1igyj0qnD9PCY5RUTSDrjBjBjBqlPN99hQTJlCeRkqKPtWUExPVWO9Ll4y3ZWVRSBFAs/Om9RYyM2lW8vJlCiGyVvHaGf78k+RAAVLfcla6+aGHaDYzKYm8bq72SUnUfeopfZTx7OHBB8mD66i0t5QUplhQoK+YwuXL5Mmxp67D9Ol0f0xPp+uvzN4vWEDJ8CtX6tev0uTAAQpdiY2lnD/Fy1m2LAlvVKpEs9r5+ca5hvZQty7lYcTE2KekZW8YlCKwAZDAyr//kirgqFGu1WXxRgICyDN36BA9Z69coc9Km+htLqzx2DEKeUtKos/1vvsovDY8nO65d95p/Hlq29CqerkbbY0TW2GVUtr+jqxeTV6+kBB6xnykQ9DQihXuz2vyAEJKaXsvW40IUQQyMvaDpIGVZa+0nAC+CpRX8YOU8gGXO6G2+yFIEexFKeUUM9tnABgF4GkppVWlMCsJ8VcAjJJSLjXZ/wcA/QH0l1IuM9PeagB3A+glpfzZ8Np/ANoCaCul3GHmmP0gSebGUspDNvpb4ngDDVu3bh2xY4elze5BTNTvB9PvALD0B1pf1gjob+MbE1QIVEoHqqYBuyoBOTbCjxUe2Q3MX0nr3zUDHjJ48d/+HYjNAXKCgA86Ald1GIO0uAisWgSkhQL/VQYevdd4e+MrwN6ZQKAEptwMvOhCmYKJfwBvGuyG1k8AuyqX3KfFReCORCAqD9heGfjVEEk3ZyUwYjetP3YPMKeN8XFNLgP7zfyS/tcN+NBGdI83EZ4HdDkFtLwEvGtNBsNBPlkLPPMvrY/tAXyiUVkOzQeG7QbK5AJBRcCk242Pfepf4HODWNoXrYEn++jXLwD4bzbQ9iKt3/QosM1GBFhYPrDqe/othBQCrZ7SoRMSaglfAC//BUw2TBt9cAvwcnezR3kF/Q8AC5cBwUXA902Bwf1db7PZJaDhNaBSBvBzXeCYHSkrM9YAowypKluqAXWuAxUzgU86AGN9uBzC8J3A14ZourktgRH3erI3jrN4CTDwIK0P6wvML6WyTaVJ5TQgKRzI1TxjO5wFKmQCCVnAwmYln78P7QG+XUHrC5sCQ/oB2e8AYYZ5mohXgWyNbXLTWeCrH4FrEcCmGsCbbk7jUbj/IDB0N1AnGZjVFphhEvkXmQt8+jPQ9ApQLhOoNRZG9zJTpq8FxhieBW90Bt7R8TljCzne9bG+I7Rp0wY7d+7cKaVsY3vvkuiZcxIGGmRrO1Jk8BbsAlWGPwrKxxgAMkwuAxinYx8AQJleTrWwXXk91o62VoHyYXYBSAJQA8BQAC8AWCyEuFtKqfV4OHNuPfvrtYgiGmQHFdEA39oP2BzBGh9Ynh2TmgWBwNlYWhzhksboiNBImj+0F6hp+CQ+bwfoIQC4pxJQ04pgysN76JoBwAt/u2acvKlxaFRLM2+c7KlEiyn7ywPrawHZwcA5MwrBUSb1Kv+oCWSGAImxJfcdsB94YgeQGwQsbQzM85KHdWg+cHEKGQkA8HUr4KIFNWRHmd4BWNCcHqyXTIza3GBgthVHw2XN/k/sBJpcBZLDgBd6AEd10BMY2xOomQJUzACO25GXnhsIdDsJKNlhgYVAoRP1Q4fuAiavB6LzgK9aGw+gd1cEZrYFonOBHWa+p56gWgpw6xkgIwQ4HQvsNaT+5ASp96ZojV/7rqNAfiCQGQz8W8Wxa/TKZmCwIbc7+V77jJN0zUBuTT2aQOlyyvxv0JeI1cRVpHhawV0Ck34HymfSQPTeQYC0oc58UON4beKnqrEXzNwnbU1yXNdo3ZTNpmeIYphkBRkbJgDwTzWgqQec8Msb02KJrGBgwAEgyjBWKJ8JXLEycZkWCiSWobHEDp20evwVvYyTBwG01CxKyFYggEYAGhr20VIISopvLYQIlFIe06kvuiGlNNUQPALgVSHEBQCfAngP5sOxPIIlC9XgUbGjmpf7uDiFZlIAoMKL6g84Io9m6/MD6IervamJIqDtBSC8AKiRAky9iWZr3Tlg2VQDqPQCcDXCeEARphEVy7bTC+Mqq+sDz24DCgV5f5xGAqmh6sD7Pwev37RbaLHEvgpA28fpAZMbRA8SS9RJBroZylvsK295v9ImN5i8RV0Nfet1rKSHyFlOxKsxnI5yPho4HkdGSseztADAK92sHxeRR0Zg0ytAXDbQb5D5/bbUoMVeZACQGgbEGQaNsTlAkhM13AIlzewDxoN6gDx2itfOW7jpHLBwOa0vbQQMMHhu0wxReHkmg9RlS+i+BRhmgR0wTi5oBJcq2amyPK8lsKEW9edULN27ftNJoM2T7KpE9/24HOAfK9G5PY4Bn/wC7K0A/FQf+Lal6+cOKALan6fJgOvh5C1/6j8g1vB9LZtt+7u/uTowvwUZKRtrWt4vIg9YvhiokAE82B847EA0aeeT9DtMD6UBb7IX1S21xPGywFetgKQImvwKkPQ5l8vydM8cQwYAB8oDHQxR5I2uWjdOXu9KS3wmTeAxVnA2WcXaAjJOegB4GcD3oDyNAlACvHYp1CwZAP4B8AUo7Oo2J8/9IShQ4AUL22cYtj/lwvsLA5BvaCda8/oPhtf6WThutWH7XZrX/jO81sbCMfsN2xu50F/PJ8RXrqwmlp07p75++LD6er16xsfk56vbhHAu6VEv5s+Xcvp0SpDOyvJcP5yhsFDKn3+W8qOPpBw50rPXcfx49TMdP95z/TDH1KlSNm4s5UsvSbl3r6d7U5KKFc3/hsyRk2OcaJ+RoV8/Nm6U8p9/6Lebn+9cG4sWqX3r31+/vrmLOXPU/g4bpr6en19SxKCwUN0XcDwBfeFCKe+6S8r77pNy2TJ9fq8XL1Iy/Jgx3ve704P33lOv96hR+rR56ZLaZnw8vVa/vvragQMlj9m1S8o1a6TcvVvK1FT7z7Vjh5SdO0sZFCRlp06O9bNTJ7VPv//u2LGM66xfL+Uff0h5+bLn+rB8uZRvvinl4MFSnj7tuX5o8IqEeFMkFVv81bAAAIQQ4QCaw9jD0gwU5gXD3/YAlCAHCec8O0cMfy1p6ilzcnaWDS+JlDJHCJEOIA5AJABFaNyZcx8BhcPVB2CUFCKECAIl4hcA8G0NSEVGOChITQAGKJFRwVSXXtm/oIBuvc4kPerFI4945rx6EBDgPQWuhg4l+cOcHP1qb+jFs8+SrG+lSlTxPjaWklm9oQ4HAKxfTwmkycm2E/VDQ0l++/Bh+v/gQdcT1RU6mQRKZ2XR76NsWSoeOGGC7TZ69yYhhehox4oUupOtW4Ft20icomtXYznkGjWoEGt6urFogHKP0qLURFHEDhytzK5UOe/WjZJdO3cG/vjD+fcFUKKyUnSvfn37PiNvJzWVqrafOGEs3WyvzGxhIR2fmkqflWlRQm2NE+UeMG4cybaWL29eJviLLyixGwA++YQkqe2hVi0SyygsJEGIrVtLSpxbwt46J+6ksJCEO86eBW67zTN98BRdu3q6B/Rd+/NPWn/4Yb+QEy61OieSEuO3GRYAgBBCgAblLWE+LMwZNhj+dhdCBEiNYpcQIhpU1DAL5KVxCiFEA5Bhkg5AKx3xB4DXQFXp3zM5pjbovZ6GsaHxB4AhhmO+NznV7SCjbZP0daWuxETzihIREaS6kp9PAwBTbrmFDJOwMDJSPGWcuIsjR+ghmJYG3H679arp7uaDD4CjR2mwOHKke5RlatXyvhoXCgEB9F27do2+a0lJ+g+cTRVd1q0DvvmGFKK6dgXuv9/ysY5WFH72WRpINW3qXpWga9eAZQb9jypV7Bv4RkZ6j1Gi8OOPVBEcoIkSrXHStav9gxBHa6KYQzvgtFcBbN48KkT48MNAixbG27S/ucRE+yvPezOZmcDjj9N6aCgVPty3r6TxbAkhqLK6Igo0ZoyxoSkl0L49cP26Witm2DDrbWpVIis7ED8bF0eTB4cO0W81xwER065dqZZRero+6oKOkp9Pimc5OXRNv/+ejMVy5chIHzNGn/Ps30/Gz7VrNGZwdxHfw4dJybBOHTJ4nS2CWhrUrasaJ8ePe7YvOuHJIoyQUkqQ5+AIqDI6AEAIUQFkpDjT5gkhxDqQXPAoUG6IwkSQp2O2lDJTc76GhmMPa16rBSBVSnld274Qohyo0CIALJJSakue/wkKYbtdCNFHGhdhNDz1MMvwvhWWGrYNEkJ8KtUijGEA3jHsY1VVzCewJHVXuzawdq3l45QfXGmTm0uzjfHxjhdAc4QePYDTp2n9xAn1Ifj77yQH2rYtVSV2dPbVlORkKvCnSNkq8rFafv6ZCk4BQN++6oD27FmSxMzOphkZawX2rl8HtmwhWeKYGODuu13rd2mTlUWGCUCylqbSvs5w/Tpwxx0krxkQYDyA2bePCl8CZHhbM04cZaSNOrOrV9NgvGJFqjI8fLhz59EWqtTDy/T113TNoqJIYrSCK3NVDqCV6k61pE9SilSoQANOe2fDP/0U2LkTmDKFBoiDNIlG0dFUcLBCBbrHFBX5vnFSqRL9RrOz6X5du7ZjstMBAXRdFBn39HQyEhQaNSJPmiO0bk33kAsXzE+2WeP11+m+e++9jt3vP/jAsfPoTXAweZLOnCGDbuNGKggI0LNLL558kjxKAEnWm3pozpwh6fHq1UnG3tXv959/0jMTIM/w/PmutffNN/T7a91afyOyd29qs25dmuT0AzxqnFhCExbmLE8D2ApguhCiK8hg6ACqgXIU5N3Qokj0akfQnQDMEkJsBnk6rgOoDqAXSGFrO4D/mfS7UAgxHOQNWSqEWArgDICuoNCtLQCmmRyTJoR4HGSkbBRCLDKcqw+ABobXF+NG588/6aYXEkKDY3e6jvv2VWc+f/7ZveFQlmqdzJ5NIQcA8NprNBvqyo0+OJgGfQBdQ9MZfIBmIhW0s9obN6phbUOGlDROPvyQ6sNERdHs36xZ9HqHDr5nnERG0kAnNdV49toVoqLICAFo0FFUpA4+tINgS3Vsjh8nA/byZZoV1qvq9NGjNNsMuNZmjRrA4sVkpOhR52PGDGDXLlpv27b0jJMOHSgMp0wZx+4v+fn0XUlLo4GRqxMJAA1QlXpERnNZFti/nwwTBXP3LD1qKpQ2H3xAv8fYWLoHxsaq24SgzyssjGa1nfGqDx5MkxExMfp8buPHl3xtzx5gyRIKrbz99pLhYwr16tHii9StS59TnTo0maVgbRD+7bdU7yQpiby716/T/p06mX/WaT0l2joqCq++qk50du4MDBzo3HtRcKTGicL16zSZaRoBUVgIPP20+oy9cIGMa73Q3i/8BK80TlzF4D1pC+AtULhULwAXAXwCYKKUMtna8QZ2AFgEkkZuBSAGFMa1D8ASkPclz/QgKeU2IUQ7kJemO6gq/WlDXyabC8+SUq4UQnQCGU39QAn3xwE8D2C6iaflxmTDBmDiRFofP969xol2gHX5MrmRR42iWbrKlYFJk/Q7V/Pm1G5MjPHDdft2df3dd8lNXlBQ8nhbSEkhHtoY1Lw8KjConSUE6LpeuEBeD20YSLhG9zHbTNmi8+cpPE15Pwraoo6+REgIPST1mt0KCaEBb2oqGSYpKaqHoX9/evClptLg2BzPP08F9gBg+XLyJuiBtiCkIwbAjBlkPKekAC+9RANEZwcCUtJ3Suud1H5v9CxqaIsuXWhxlIoVaVACkLdVj+/N8uUUfnXhAvDmm8aTGOaoU4fOe/UqDYK0g3hf5pNP1IKS991X8n1pc02cYWYpBCUcPqw+MwoLjY0TKanA7k03kfdSr4mH0uaXX9Sc0atXaTLl6lU1EsAcn38O/GOIrq9XjwwVAPjyS/PGSdu2dK9ISKDfnClaD+OXX7punNx2G92LTpywXZz2hRfIW3nxIt2re/c23n7smGqYVKhgvv+MEX5pnACAlPIsALviFKSUJWKOpJT7AAxz8twHQbVcHDlmC8iI8k8yMmhQXFBAg2LT5Hdb5GnsQEePdZQKFcglXK4cDSaTk2nmC6BBgJ7GyYIFJV8rKqLE8e3b1WrDhYU0Q+voez93jmbtlZn7FStoxsZcvL8lL0f16lQBPiKCYrBN0XoYatakG3NkJK2b8sILFPYVGgq8886Nkzy5dSsNMOPjjY295s2NDTpzaA2H+++npFw9voPPPksDokuX7E8iBuj3sN9QiOPyZefOnZVF7yszk2YZszQaok8+qRrJnoihN8fq1XSdoqJo9lubTxAToxonaWn0O924kX4vVas6V+F+3DjybAEUbmcr3yg8nD6TvXv9JqwDgHFSuiWDKzWVPoPSqJK9dy95iq9codn+KSXqPJeksaZQxoEDxtv27yePtiLAce2acThScnLJSSRvRPtcsndiJz5eXVcME+V4c7zxhvX2+vYlQYJmzUhMwlXuuYcWe8jJIcMEIKPr7ruNv4/BwTRpsGMH3RP8sKK73vitccJ4GV27kvIRQLMlyizxhQvAX3/Rj7dKlZKzxzt30qAgJYVi6GNj7VcxcZZJkygEQnHz792rbtMOLN1FQIAaHlCrFhl0ERHkNnfUONE+DG+91TnXb/v2wKpVlre//z7F5qanU4jPm29a3vfwYTWO2xvi+ksL7QDFUUwNByVHyR4+/phmNffvJwNb+9upUsW5mVrtIDElxfHjAfodZWaqnpOCAjUZ+YUXnGvTncyYAfxqiDReu9bYOImLo+sQE0OTKIcPU/gjQIm71nLqLFGpkmqcXLhgnxiCovDlL0hJ3vLkZLq+lgQUHnyQwhObNgWmT3fOGDTH3r0UchQXR/fhMmWoH8qEkr2e4fr1gVdeoc+waVPjbdrvRvfuqmFy6BB5hX74gdYt5a+kpVF/oqPp8+/hQqXe0uaBB4A2bchISU2l+8HVq3S9nKFLF7oenhDaePRR8sIlJAADzMxL16kDfPZZ6ffLh2HjhCkdtCoo2vCk7dvVxM3evdXwFYWXXlJlNH/7rXQevqbxotWqAQsX0iCqtKUaT51y7fguXeghe+CA+xL7ExLsV07RqtDokWx+I/DMMzRQGzuW/ndkJvW//9RB9f79+hj2AwdSXHhsrPHspyMIQV6I9HTVULGUc+MNWJNr3bHDeCZU8VICzg+U7r2XjNLKlfVTtzt/Hpg6FTh5kgwpVxN83Y0QdP+3xb599Pn8/be+A9OpU9VrNGcOMGIEGQAKV64Y73/4MCVqV64MNGyoSqWHhgLvvQezDBxI29esoZl/haefVsVJPvyQjGNznD9PIccADeqV8Fpf4OGH9W0vJMRzap6tW1NYV48engup/O47GisdP+4XUQlsnDClQ0wM/WiDgowf5FpDxZxXQGsomMt3KA3i4mh2zhcJCaFBjiNhO+5k5kyajczNtR3OxKg89hiFCly/7pgilnbG3TSkxFkqVDAONXvnHfKGxsfToMpS7owp58+Twfz/9u47TIoqawP4e2ZIwwxhyCKKIggighIUQVEMGNY1u2ZF1xwwZ0V0jWsOqKuuguJnwADmSDBLMouABJGch8nMMPf741Rt1fR0nu6q6p739zz9dHdVdfedrp7uOnXvPScoWaNKSvTMe1GR9l66DyiPOkoPOEtK6k5kDR2ise22esKltDT52jJ2IJpK1dV6wA14l2Qg3UpKag8tTHRC+VdfaQBfVKQ9F3vv7axzDymzTwhst50OwerYse7nYMoUJ1A45xyd9xDLjjvqvg7d3zfc4AQnixeHT2ACBKPGiW3FCp2fsWiRBh6pSDAQj8pKHRbq9/C3E0/09/U//VTTiQN6IorBCVEcPvgg/PLOnbUbtKoq/HyGgQN1DkZeXnDGn6fSihV6xm3zZu26jzXxLl1KSjRzTX6+vs+PPpqe10m2yz5bVFfrZ90eHnjmmfret2qlw+Mifcbz85MrWnnssTq5dNdd01f08rvvnNTUiaRC9vtgKlRVlWbGA/Rkijs4ufba8I8JZ+hQvQRNly5OUdvVq/WALp1p0r2Qn6/DVadO1TSyoQUxY3nrLWfeSF5e7eCkTx8NUDZudCYw5+dHTrltT9wH6j+x/eCDdeL8CSfUblOoNm10jlZxcfg5fl7q29dJKz5qlP6WTZmSuiClpERT7NvzcuyaM1Om6KiLQYN0WawU6vGYNg2YNEmHYw0dqj0jQecOzLOg1gmDE/LX4MHOZPNw7AxdXist1R/w9etTV1k7nIkTnbNml1yiue4vu0yDsr33Tu1Bzuefa+avVat0WI47ACkqcobUdepUe115uRbZKyvTH5pzzon+OpMn69jhkhIdChEr01BD8PTTejZ040bNvmWndX3/ff2xBSIP/aiPXr30EmrVKv18deyo9Ryef77uNvFKZZ2TNWt0GEtBgZ6lPvvs+j1fItyf0+Li2imfs0Furs5BattWz9hHmr928cV6kH/QQTpX0A5g1q7V/RuUni5AexM+/VQzmyUz/C1SKndAvysT0b+/Bi7Ll9edW5IoEaeXK5ru3Z3U7X7baSfnu2DzZk2hnMr/n7VrnTmT22/vBCcff6z/q999p8NWFy/W27//Hl9B2HCmTdNMcQBw3XXJBSfLl+uxTb9+GgQPGKC9Gekq5njYYXqSq3v3+n/+AoDBCWWG8eO1q7JJEx0ykc5hSlVVTgrTnByd5JquH+TQH8eZM7VmxKuvamAycaIe0JaV6ZmRRMblV1frj5zd9pIS/SIH6g7rcNc4CU3fWlbmjA9u3bpucNKrl25TUKAB0FVXOTniDz+cwQmg+8DO6GQHI8bEV+ekpkb32+rV+hyR6iQkYuVKPaBbsqR2pqxEGaPF/5Yt07aFC4QSsWKFE7j17ettcJKbqycHmjfXfRFvcFJergdlmzfr0JJU1i9INXvYUSRbtujQkLIyPUGxeLFzRv700/X+LbfohP90Zxz6+mud7N26tZ7EOvLI8Nvl5ERPWRvN4MF6lr9lSy2UWh/HHhu553DdOv1e/O03/V6ePVvf69D5jZmsf3+dvG8PNYs1D3HpUp0kPmuW9n6MHq0nStzFQ93cz2d/hwIatIjod9Hw4Zp8xJ7beNFFtecJxSuZGic2Y7Q3bswY/V3dbTdnHtqNNyYe9MZrjz38G3mRBgxOKDO8/bbm/gf0HzCdwUnjxnp2cf16PUB58UXg9df1h+SQQ4Bzz03da3Xtqj+KLVvq3+WubzJokA77+eQTvf/hh4llY/n4Y/2x7NVLhwccdpizzl3jAtADqrfe0i/T0Inqseqc/PWXc4DbtGnt4CZTa52kmnu4lvs9fOcdDVA2b458oCKiB2ZVVXr/ggvqnzUu2RongP7w9+mjmYsqK/VgZMCAxNtgjD5XSYkOl2ne3L8aJ7Z//Svxx9x3n5Nd7+abk3uOoPj2W+d/uVs3JzCZMcNJrHD66XrC5NJL09uWH3906pCcd17k4KQ+RozQS7rl52ugZQe8X36p38cHHKBzFU47Lf1tSLcnn9SJ+3ZtMHf6/3A2bKhd3f722/X9iBScFBTo3K/CQg1Utm7VEwoTJmggPWWK9vT17+9Ukv/uu/jTAbudfbYOhV24MPHvNhENQu0Tfu4EGZkwPCwgGJyQNzZs0AOP6mo9UEt0vLl9YAZ4k5Gja1c9WOrYUXts7DH1yZyFiSa08Nu8eTqsatYs/dFctMhZl2hCgF9/1YPHH3/UITw776z1Gjp1qp0KFdD9ESnNcLNmOh8lL0/fE/fkzK1ba595z8/Xg4gBA/THJHSYz+DB+jlo1kyDp/oOA8oUBx+sQ5YKC51x8SLxBZsitT//P/wQfRx6JFVV+oPZurV+5hYs0CAl0f+npk01nbGdzKKiIrkzwKedplnwAM00c8opOlzj3ns14AlKQbrych1iY3+eQ7MMhfZ+Tp2qY76bN9f9lOxZfT8MHKgnQT77rPYE40WLdB/X1OiJjnjS9a5dqyd5kh3aE0+NEz+MHavDXNes0V6keCZC5+Xp5+CPP/Q9fPhh/d589139TEULTlas0N+DWbM0ZXuQe6Jzc/W3JfT3JZxwmf6izSsV0Xkg4bRpowVtAf2uzc/XOazJzrMbPlwvybrnHj2Z2qWLFg9t0kR7y9I5RDzLMDghb1x4oTO35JVXnC/0n3/Ws3KNG+uZitCzFPPm6cF1bq7+KPbrp12/6TZ7tnPbHmYCpL/OSc+etavjvv++9nzk5SWeJnPpUuf2rrvqwVWkQovR5OTowWOkdevWacBRUqL3b7898nPNneuM7Q7S2PV0y8ur32fn/PO1Kvv22ydex+Hdd3W+y7x5ekbwqac0wOjePbkfbxGnYBygPT/JBCfuz7M9FGT77RObfO6FDRu0RwTQHsbQ4KRtWz0Ys4tsjh/vpKB97rnMCk6aN9eAOTRoPukknYOycWP8GbGOO07H3Z91lg6vSfRExKGH6nu6cWP6a1uFKinRuXOFhXqCyv27tHixBqBA4jWH8vN12NEllzjLD49Re/nww/U3ENCTCu7hZ1OmaC2wFi10GHAmzTVo316HOK1frydchg6Nr55PLInOMyku1uHTzz2nw7HizTYYTYcOOm9l113TXzQ6SzE4IW9EqnPy0UdOLvsrr6wbnEyapAWsAN3OzqbjJTvjUXl54qkq6+uxx+r32Ntu0x6UVNVKCCWiB2Tx1rtgnZPkPPaYnhns3z/xH7tGjZyK7vZ1fc2YoQdarVsn35NZUOAMAwxyxeRYQ81OP712wOIuwuZHQbhoVqzQBBx2T8iXX8b/2ETqGc2fr8V1Ae1dKCzUACORMfH9+/s3DOavv5zejB49nIKYQO3eczuN8erV2qPSubMG/OHqcblPDL32mvaifPBB7GFlAwc6wcmsWbWDk8mTneQlDz6YWcFJs2Y6B8NvV1+tCUsArWeTiuAEAHbfPTXPk4gXXtBhbn/8ocdK//yn921IEQYn5I127TT7TqNGtc8gu4erhDvocm/rPrD1UrdumXX2061Nm2DlO//lF92PlZUMThLRuHHyBUjdZyPddRHqww52f/pJs+a0basHUYlkHLv//vgyEnnp1Ve19kVRkSZ+2HdfnRx/ww363sVz9v+gg/QxZWXpOymQrLw8PUsM1B2imUq//66B66ZNev+SS/QgMGgTdjdtAp54QntzmzZ1skO6h5SF7vPjjtO/o0MH/U0DNHix5xoNHhzf/2r37vHN29l3Xx2COWCAPrdbkOqcADriYN48natx2WXpHYK2aJEW3jzooPrV7TnjDCc4eeMNDTIztbfjzz+dOaq//+5vW+qJwQl545FHnNR8bnZGnqqq8GfJevbUM8Z5edk5XrOmRodubd6sZ2jPO8+713YfmLz+uk5oLCjQuSeRcvnXl9c9T0FTUaHDoTp0AKZP1yEIrVo5dQ3SoUsX/RHv3ds5WEjVQemKFcD33yf32CCm6f30U+DZZ/X2kCF6YNipE3DXXfE/x/nn6yWICgudoKGsTOdN2Ad2RUWJZQM0RucshctOduSRmhHuuOP0+w1IbAiUV8rLnd74Dh2c4KRlSx16vHFj3WHEO+1UN4OTu8ZJPPMtEnHmmXoJ59BDdX8WF6dmSFR9uYec1tQ4iSJS5fvv9bts7VpN3vDhh7r8uut0nkcyhgzRz+uwYdoDmqmBCVB7mO6CBf61IwUYnJC//va36PMgwo1/9kJFhc7ZWL1az6iFKxCZCnYmJmP0/gsv6CTaUaOcs3KpdO+9+hqrVmmWITtV68KFOn4ZCF8o8fXXdahDebkGLvYBSbiD3Bkz9AektFTHEe+3X+r/jkw0cKAzl+nHH/XzZWeVSWfFbpG6Z1z79XOKy73+uiaASIadHhmIf2hfNBMn6nj+ggL9v9hnn/o/ZyLcB+fuNM/Z5MUXNUjp1q32EKVhw/Qg98ADtRfALjwYqrxcq58//bSeVFm8OPz8sWbNdEjX8uU6lyhVw2VSKVKdkz59dG5kvHbZRf/WFSviy+60caP2dCRaNDLUP/6hl6Do188Zgpbo3Lh4vPNO+IAnNIX5smWaffLbb/WEWLR5KCI6PC4b7L+//i3duwev1zZBDE4oM4werWdLGjfWIRbpriUwZYoTNB18sFMfJNVE9AfSPhD66iu9XHSR3l+zRmtRlJfr3xxvhfVlyzSoCs1+smGDpjkE9MymzV3nJNw4+fvu06AD0EmZ9vv/3nt6drSgQFM2jhunZ7PcqVUZnCj3+7puXXw1TtLlr7/07PmyZfWbF3HwwTq3oLQ0NZnXPv/cSR/bpYv3wcmRR+pJgZYt4z8hsXWrBvfFxXpSI4jV4d2OOKLusjVrdIgeoP/DDz0U+fE5ORq82AkRPvoo8qTuwYN1snMyLrxQ38/CQv0eSUdmv+bNdU5jy5Z6SbZHsW9fvcQyZIieuAH0ID6ex2SSl1/WE2u9e8ee6A/oZ83upR84UD9L0fZz6O/ZsGH6fh58cO3l8+ZpOwANmJItxphpttkmPSm3fcDghDLDq686kxIvuij9wYn7TPYnn+gZibw8ncCX6jkcRx2lWaxmztT7bdo49QVeekkTBQD6ZRtuaFw4N92kPSTt2+sZTjtNsPtsqLvWxVln6d9VWho+ALKrRAO1UweXlGg++w0bnFTH7oNdd9DT0LVrp2dK27fX9+zkk3WoYlGRnln2SmWlMxcgNze5g7477tD5JWVlOuTphhsSf47qam1HSYkeEHbt6n+dk2HD9JKIkhInw577REMmmTtX/29LS7WHI9p737SpzjO6/359zJIl6WnTxIlOxXE7KUqqiSQ2T6q+3EMg77orsd6ZTLDLLs6ch3jYgRqgk/3dyXLC6ddPhz63a6cjDI44Qr+D3L9PgH6v2oUZf/5ZP9f275Ixmlznb3/T3/UgJ+NowBickDfWrNGej+pqPUBOdBiLu6CTF3VOttlGu0U7ddIv0OnTdXk6xpKPH69fmMuW6Rf0xo3OF6b7SzeROie//qrXa9fWrldw0kna89GpU+3MOzvuGL0b+Nhj9YehefPaw83CHUwOGKATPfPza5/5XrhQzyo3a6bd8PZ44YbipZf0wM79Y+hlNXFjtLds6VL9QbeLpSUz9yM31wlS7UAnUdOnOxOH999fh3OdeaZ+fkpKgjPHbNo07TktKNDPc2jw4j6QLy7WdKQ5Ofr5P+OMzKgCvt9+eoJhxozYB4iAFgLt3l0DbPfQqHHjdJjXyJH1G1ZiTO3PVZDqnADaK7Bwof4PLVoUf4D/wAPAxRfrbXc64VjWrtVhSrNm6ff5vfcm3uYgCp0wH2to6JAhddNKhwYm9vNedZX+Vu21V+3kK99+q/vhgQc0o9bs2cGc/9bAMTghbzzwgFMN9p57dAIboBNQf/lFh2vtv3/dSX3r1uk40y5d9HL88fGns6yPzp2dAogjRjhng9JV50REv0hD55l07qzd3Xl5dSdhRlNQoF/aZWW139NttknugDhSVpl//lNTbhYXO1/w++9fO92lrbTUSb0ZhMwyXvPzILWoSA8WN27Uz0VxsfbO2T10ibIPFnNytCcmGe7PgB3kRvrs+OmLL5yz6zfdVDc4yc0FdttNe8VattSzsvYcspNPDnZw4s6a16RJ/MPowk0KN0aHf/72m9Y6eued8EPI4lFTo73lGzfqZ9WLE1JuH3yg80cKC/UMfeh35vz5GpwAeuIt3uDkvPP0xFDbtokNWVy+3Dkx1rWrE5zceqv+D7ZooSMKgvxZC+e443QIVk2N/l2prH11333hlz/zjHN7wIDsDUy2btX/73DBWwZgcELeiFTn5NVXnew4//lP3eDkr7+cSdv9+ml6Qq89+KD+AFVUeJ93/+9/10uipk3TL/ylS9MbzInoD2I8P4rug1imEfZWq1bO/2BZmWZOqs+Z7TPP1KC0PjVKWrbUg78WLSJPvg6CeIaa2fM1jKl9sBPEA4M1a3Qo6aJF+n/oLtZaHzNnOvPZ8vOduWYLF+q8k6VL9ax3PBPjc3P1wNUvTz6pwRWglb6POab2+g4dnOBk9Wo9+dahA7DtthpERDrIbtRIe6ETteuuuq8qK/V/d+1aHR56zz3OqIILL0z8ef02eDDw9tvevuZll+nJvgkTgHPP9fa1vfB//6dzwhYt0gyQyWYx8xmDE/JGx446HrVRo9oHy4nUOUlkWFMqZVJhK7ecnOTPjKfD7rvr2ciKCo7z9UOfPjqEYddd61/vxD7o/tvfdM5BmzZ6ksGeexGPXr1qZ/sKguXL9Wx0UZEe/D3xhFOpvKREz6JHs3Wrzo8oK9MDyVSeCU6V1q2B775zJn+nquZQv35Ope1tt3V6xp591jlAGjMmeFm7XnxRA6vNm3XI1aBB0eucADqPLydHA5KcHOcEW35+eoKExo117mHr1tqT3rKlBiV2YJKbm3m9JsmaOFEvI0YAhx2mn7VE9OuntUzuuy99IyH8VFPj1Dj54w9/21IPDE7IG6NGOdkz3EaM0LO6VVV188kD2v195pn6JZLq/PFBMX06MGeOHiwMG5aeFIzhlJfrQUlOjuZ3X7BAzww/9lj4fVFfjRt7O8ciaIzRoGDdOj2ouOEGPQvasqUe7MSbiS1ZkybpAaO931PBLrgGZEfAWV6uVaIBp2dp+HC9xKNRI28nWCejSRMdPrp0qbb3v//VZBh9+iS3D1ev1rkm69bpAd/xx+sBks2dpjpVvTSp9MEHmmUK0KxPgwZpxqOddtIgJdzBr/uEld1bBOhvVLr+D0Jr7VRW6vCu4mL9/cyG/7942KmTJ07UEwHx/L/V1OjFPYIjiL2aqeCudWInlMhADE7IX6ecopdI2rfXHz4//PWXHrCvXq1n/dNxwA7ol+2aNXq7c2c9e5tOBx6oZ9CLivTv695d01r+/LOudycfsH3xhQZRZWU6od6eyFxerkGH+0t//Xo92C4p0WAnmUxO2Wj2bGeS9+676/tjn9lyH8yliz359OqrdQhlhw46HCXa/18s7h+/VKR6PftsfS8KCvRsu9cZuxpCnRNAA9W2bfX7pnNnHSbUoYP2ICSSOW7ZMg3iqqv1e+Caa5zeBFufPjr3ZPvtg5lW3D0p297n11wT/+M7dNDvu+XL65eWO1FNmwLXXuvd6wVFp05OpsloNdIAPXZ4+WVN9PDf/yY3pC7T9OunJzt32qluwoEMwuCEgs8YzTLVuLFennvOm7NE998PPPqocztdwcnVVzs/MkcdVXtdWZkOwbCDgNB87uG8956e7evVK3xXf2mp8yO8apUGJ+5x9eF+YKdOdWqX5OY6wcnJJ2vRp2bN9EzWEUfo8Igbb9T1XbsyOLG5c/SvW1d7Do6XdU5Wr9YAYNWq+lVDNkYz2S1ZovvfnRUuWa++6mQB82OsdOvWGri1apVYhqhFi/RAvbhYa1eko4BqKu2xh17/9JMGJoB+Jrp0Sex5unTRgPubb/Ts/YsvapYkt332Sbxezfvv63dvYaEW4R05MrHHJ+L44/W7slWr2MP2wmnXLjvnLgTV2LH6m3nUUbE/V3PnOjXKnn9eHxPEoZaplJfn/H9nMAYnFHzV1cBrr+ntRo30S8YL7nTHV1+tB+HvvZf6TFPnnKNnOkScjGa2Zcu0pwLQMyGxxpBu3ao/thUVevZy3bq6B4325OPGjZ2x1e++q6k7S0vDD2OINPfHnrtQUeEMFXKf7XYHPQ1du3Y6lKB9ez2oGz9e3/+iIm8y0NnctWeSrUxvZ4Gxh0ps2ZLcCYPly51aJ337OoGJiD/DLho31oxKibrtNq0rBOj3UzoPplPt+OP15MPw4cllLjrvPD3gO/dcfa5UWLBAC/IB+v+SzvfzoIOcky3J2LLF+2xiQPIFIzPdscfG3wPint/07rtAt27aO3v99UzKEnAMTsgba9Zo/vvqau0G79Ej/se6hxnV50xvonr21LHYX3yh97/4Ij1nXQoLnTHPoRJNCLB4sQYKgP6ohzub/eST2sXdpo3z49a7d/Tn3XtvTaOal6cZVmw1NU6xKztoa9lSv/zz82uffR4/XnP7N22q9R8efDD235NN7CJ3fiop0Uwuxxyjmed22y2552naVA/IKir0f7qsLLkhLfvs4xTxmzdPe9+Ki/WzHpQUn6NHa29gQYFm+gmtUg3UHj5x6aUadO28M3DCCd61Mxl9++p7XlOT/DC2M89MffDgnpAetBongA7RPP54/V3r39/5jUi3F14A3nhD65385z/Jp2puKPbbT39bf/9dTyAsXar1pkaP9rtlFAODE/LGG29oHnZAC3g9+aTeHj9e53Y0bqxDt9yTJ23jxukPwObN3o6xPe44PUPjPkjyOiNKixb6Bdu8uQZ1sVRXa9f1r79GztSVzKT0SEMzpk7VwKS83Dl72LRp+EmKpaV6cFxS4l/mtYbuuOOcYQ6vv16/QoetW2sg0bq17tNkghN3L1t5eerOvKfSCy9o4gJAz7qGC0523lkLjH71lb4XN9+sw5GCHpxUVOjwvh12SH5YXjrO3p9xhn42N22qm14+3Vat0uxbhYX6voSb15CX5wTV9nxBL8yZ46TeffJJnczfooW+V36mXg6qtm31uOLJJ/X2+vU6UqEh9DgZo5/NysrE5pEFBIMT8kakOif//a9z1mnw4PDByZgxOjwJ0CwqXvvpJz1wsodKeal1a61ZEq9evXSyK+DNJGsg/iE4do8O0HDSXgZNnz5OcPLrr/U7oPnrr9r/18no3l2/D1q0CE5PSSj30MRIQzovvVQvr7/uBCReTo5O1KZN+llYvlx7fTZtSu8B27ff6ty5P//U9yfW3I5u3fTih4ULgVtu0dt77RU+OHGfKJo/X3uPOnfWjJTpzEjozuT4/vvO7TPOYHASzYUX6omFyZODV+Q1Hd5+Gzj1VP3uOuEEZ1h8BmFwQt7o2BHYc089mHH/6LgDlUgHOu6hTe4DXC+IJD/0xW9BO9gbNUrHpVdU+DNGm5ysc336xB7KF8srr+gBeZs2+kN4++2JP8dbb9WvDelw993aA1JUpHPA7r9fhxmVlMTOftO7N3DHHdpLWN/3N51atXKGTm3erLdTkW0tkgkTdCIzoHPakpl4ni5//KHJFzZv1pNj7oxikXqT2rTReTEdOmjPjj3fKN0T4w84QEcSDByoJxmuvFKXp3oeZDZq2tRJQ5zt2rVzTqpkaK0TBifkjSOPDN/rcdZZOhGzqipypphzztHhI82aeZ9aNJuVlOhBSU2N7oP8fB2e8sYb6Xm9Ro30R7Qh/5AWFWkhytdf13HPPXvqAccTT3jz+qefrpdUWLtWz7jbl2wxc6YmvgC0ZyGR+RS9ewc7KLGJON+lAwbod0E6g5Mg1zopKnJq2+yxh+7v66/X78ZI+zInR3v9amqAlSud5emuxdW5s/bSAJr85NFH9bdxwID0vi5lFrvWScuW3maCTCEGJ+SveM40+Tl5bdo0/TFdvRo4//yMzhv+P8uX60Fxaan+2H3wgU6kB3ScajhLl+oBdHm5nvm89lrnh7lFCw1s3MkCnnhChzuUlGhaYb+GaATN6NFOempAJ4H36uVfe+rDXd29bdv6P9/XX+tk/YICnb9x+eX1f85khKt7kY1GjdK5MYsXp/8AZvBgHVqz/fbAkCHpfa1Ehe7vXXeNv5CmMcA77+gJh3XrvB2u2revXohCtW+v803atcvY+TUMTij4liwBLr5YJ8136+ZtlqcLL9RMHwBw2GG1KwN75dNP9UCwvFzHFUfrPZo40elhGjYsfHaxtm2drFGrV+twBluk516zRqsRA5qc4NprtU12b1fbts68IEAzpHz5pd4+4wwGJ7ZwKYMz9MwWxozRAGL9+tQE7UuXAh9+qLdzcvwLTi6+WBNhtGoVf+BYVKTzKjZv1vlXsYrDBcGNN2ryjK5d09+bue++eonXIYfoRN7WrbVXIxXBbyTbbKOZr1q2DJ/sIJrcXP1dIAoSkcQ/ywHD4ISCb8MGZ/Lf7rt7+9qrVzu3Dzyw9n2vXHCBTtIE9KxjpDTMdrFKeyJ8ZWX44KRZM/3RLy/XH+YePXRcaklJfPN+7Exbdo0ToG5QE67WSXW1tidDz+SkxHbb6fvdsqUW1DztNH/qeaRCbq4eNNbnwHH1ag1KSkqA7793lvs5fDOZDGZ//AEceqje3n33zAhORPw52RKPr75yTqCMH5/e1yooSK62DaDfuUVF+r/g9XDVqipNSsETP5SFGJyQN9av14OP6mod27znnvE/tqrKue31ROpBg5zsRu56K15yH7xGS8FbWekEJk2aRH+vli7VH2U7UIhVjG+bbYC77tIgxd52yxYt6FhcXPeH+eyz9eC7oMBJBXruuTqZs2lT4JlnUjf3IZOMHJlZBfrS7dlndWgRoIHae+9poBKU1Jfz5wO33qqf4969gSuuCL+du+fohx+AG27Q3pf6pGpuqKqqnMBEJLhz1G69VYd/VVUB992nhXq9sGEDcPjh+jkrKNC5Xw35hA9lJQYn5I2ZM53u70MOcYZv/Otf+kPUqBFwzTXhh7j8+qtO+Csq8j7bxlVXOcGJX5MODz5Y54jk5UX/oa6uBk48UQ/uYv1YJfqD36aNHnC59ezpTAYNnasSrr5DZaVzHbRMYuQP9+ewdWs96AqSZcs0KxmgKUgjBSdt2uj/6Sef6P177tFJqQxOEpeTo0UON23SEx9ef1c89ZT2SBQW6vdYuPT2gPZA2yfOvKx1UlioQ40rK/Vy9NHAAw84k6CJbHY2VJH0FJBOIwYn5I1IdU7GjnWGSl18cfjgZMoU/bEC4itEmEr77qtDqvxMf/vAA/FtV1DgHEh5LZ4zd+4eMNY5IUDnLA0YoJ/dnXbyuzV1uYcuRgvo27bVkxgnnQS8+qouy9Theuny1ls6XOvPPzUFbqR0wrm5Oq/NLxMmaDsBDS4jBSfu3ub77tOessGD098+EU0l/Nlnev/ttzW7GIMTcqupyehh1AxOyBtt22rK1EaNNF2jzX3A2rhx+Me6D2S9riyel8cxvakycaJ+YVZW1r94X6YzJmN/NFLq2GP1EiQ//KA9pkVFepb6pZe0N3LbbWM/9qyz9AC1rMz7+XFBN3myM3/k4IODVevkppuAH3/UhAZ2YAJErnMCACefrPVNpk/X+172njzxBLDPPjqkCwju0DfyT4aPTsjaIwQR6QLgdgCHAmgLYCWASQBuM8ZsTPI5hwGYCiAHwJ3GmJtD1o8DcGaMp5lijDnQ9ZiRAJ6Psv2FxpinkmlvoOyxh3Omx+222/SHv6oq8iTYv/9dz7Dm5SU2V4UiM0aHTaxaBTz0kB44FBTosJVLLknf6+bk1J5c3xD9+KOeGa6p0c/1K69o6lwKhspK7a0F9Mz5KafE/9hDDtEL1eWeR/Tnn/61I5wvvwQ+/1xvn3669kJs3Bi9bklenlPIEkh/jRO3nXcGnntORx0UF0euEUaUobIyOBGRnQB8DaADgMkAfgewJ4DLABwqIkONMesTfM4WAMYDKAMQKZXMJABLIqw7HUA3AB9EWD8ZwA9hls+Kt40ZKZ4D4aOO0gulzosvOsW8bGvWOJm1wrnmGiel8bPP6lyhTZv0rF3r1rV7uKZP1+ERpaXaY3bOOen4KzLTfvs5iQuWLcu4scBpc801wIwZGiSPHg3stZc/7XBPbs+m4pJ+O+QQPaDffvvgFQ10Dyc+9lidxxGPV17R5CLLl0fOopguRxzh7esReSgrgxMAT0ADk1HGmMfshSLyIIArANwJ4IIEn/MRAK0A3G09vg5jzCRogFKLiLQGcC2ALQDGRXj+ScaYSOsatk8+0YnzTZoABx2k42sbkpkzgZ9/1qBgn32Afv3Cb7dwITB1qjN+P9pk3E6dwi/Pz4/8mPHjnWEEDz2kZ+5uvFHvX3utUwcF0CxHzz6rt5s3Z3Di1q5d7eJ+mVrnJNV++ME5e33ZZf61o2tXnT/SqlViaZKnTNGJ1Js360TqSP9jDdXQofH1EE6YoN/3rVvrHJ5ISQhS6dpr9TuqZUtgt93if9wuu+iFiFIq64ITq9dkBLQHY2zI6lsBnAfgdBG5yhhTGudzHgXgLGjvRzLv2ekA8gC8YoxZF2tjCrFyJfDFF3p7m238bYsfJkxwqoo/9FDk4OTbbzVdL6Djof/v/yI/Z6dOGsR06qRVhh9/XHs52rSJ/JjQWifuXpbQIXnuIMdOC7ppk84ratq0Yc85GTxY3/emTTUDWhAngnulslI/t8XFWmzU5medk+bNdU5EokaPduYr7L47g5NkLV+uJzeAxAo31sc++3jzOkQUl2w8QhhuXX9sjKlxrzDGFIvIV9DgZTCAMJMgahORDgCegfZsTLDmiCTKOmLE01G22V1ELgfQDMByAFONMcsSeRERmR1hVZxljtOouFjnnFRX64FrIlV13fVF/MqY5adwBRDDiRYshNptt9qZiOJxxx16MJmXp2eUW7bUZAElJXWDmj331JSc+fnOwfegQVqsDgDmzdNx0w3RhAl+tyA4Nm3SFL22qVP18xSUs9EPP+z0Rp53ng7Ji8Q9HOyss7SuEycqJ849lC7ahHQiylrZGJz0tK7nR1i/ABqc7Iw4ghNoYJKDxIeBAQBEZG8AuwGYb4yZGmXT0HEMW0XkWQCXG2MqknntQFm+HDjmGL3ds6cGJ5WVwKWX6tn0/Hzg3/8O/9gjjgCmTdNJ8w3xbOTAgTo/pHnz2pnOQu28sxY/LCmJXV8hmUxRoUUTr7tOL+F07143tWWF62PMVMIE1D54b9asdqASBLNmaapWwKkAH8kBBwAfWFMKFy505hVRYq67DjjjDA1SvJxkDgBz52pa4MJC7VEOnZdHRJ7IxuDEHsBdFGG9vbx1rCcSkbMBHAngRGPM6iTbc551/UyE9YsBXArgYwDLoO3fBzq35XwALQHElS7GGBN2lqHVo+Jj4niEr3NSUaGVwgE9SIkUnHTq1DCDEtvxx+slluHD9RJUeXl6qajQIU1EeXnaG5Gfr70TNTXBSoGZSG/kVVfpgbUdlESbv9VQPf64DtH980+9PXBg3W1at9aLH/74A3jeSp552GEMToh8ko3BSUqIyA4AHgYw0RjzWpLP0QrAPxBlIrwxZjqA6a5FZQAmisi3AH4EcLKI3GuM+TGZNgRGixaacatRI2feSDw1Tij9vKq5YY8jD60m39Bs3aqfffYe6edu2jS/W1HXmWdqIoq5c4ExY3RoYrgDaTdjNAteaakOv2zI86oimTYNeOMNvb1gQez31CvTpwO33+6kkAY4pIzIR9n47Wn3jERKgWMv3xTjeZ4DUA7gonq05TQAzZHERHhjzF8i8j6AUwEMgwYqmatjR2DSpNrL8vN1XkJVFYMTP2zapNmF+vbV+x076oTedE/QbujFBz/5pPacq4YerAXRkiUamADAsGHx9Ujm5CRWE6UhCmqtk6Ki2oHJvfcCvfyfqknUUGVjcDLPuo4029ZORh5pToqtPzSQWSvhD6ZuEpGbAEw2xhwd4TnsifD/ifFakVh5W5Gd4wPy8oDzz/e7FQ3XVVdpOmDb6tXRh1s98YSeYSwvB668UlOt5uRor9h229UOMEtLdQJxSYkGI6GBaUM2c6bfLQieTZs0i1lBgfasvvOOv+1xT24vijRCmBJ20klagHT77YOT9AConc573301tTAR+SYbgxN70vkIEclxZ+yyCikOhQ6d+jbG87wA7fUI1QPak/EDgNkAvg/3YBHZC0A/6ET4aQm0382uQrYoycdTNliyRA/Wysv1R/2kk8Jv9/rrwIoVeoA3YkTsqsHh5vFEGyc/YwbwmjXC8ZhjgDvv1Im/gA7Zchchy8lxUhk3xAxr0Vx6KfDAA3rQG2meVUOzebNmcAOAbbf1ty2A7p+779aD1g4d4nvMH39or1hxsSaDOPbY9LYxE+25p16i6d5dMzQWFmqmtGjpzVOlb1+ntk379ul/PSKKKuuCE2PMQhH5GJqR62IAj7lW3wbthfiPu8aJiPSyHvu763lGhXt+K5XwMADvGWNujtIUeyJ8tPTBEJGBxphZIctyAFwHYG8A6wB8GO05KMvNmweMsj6OBx8cOTh5+mk9OAKADz+MHZzsuKMOXWjfXoONk06KXhDQndK4rKx2KuLQycLNmmmAUlOjBxoVFdoz06yZXhpy4cHWrfVAduHC2AdqDcF33zlZroBgpN9NJs31nDnARdYo4OOOY3CSDGO04npVlQ45bR7u/GAaFBYmV9uGiNIi64ITy0UAvgbwqIgcCGAutBdiOHQ4100h21uDi5GSwfAi0hLAiQAqAYyPsflMEfkFOqdkOXQo2VAAfaA9PKcaYzanol2+qq4GXn7ZydR11ln+tieThAYFkSSSWQjQisiJVG4fOVLH3+flaSHIN9/UivHFxXUPKEWAl17SYWIFBcD69cAOO+i6Dh00UGnI2rXTC2kPnD2M68YbgaOP9rU5teyzjwbTLVpoz2RubuRt3Z9pe9I3Jaa83EmUYp/IIKIGJyuDE6v3ZCCA2wEcCuBwACsBPALgNmPMxjQ34VRoD008E+HvB7AngAMAtAFQA2AptLr9g8aY7BjSVV2tuesBPWA96yxg8WI9GGncWCdh33qrv20Mqu22Ay6+WIOCaJPVTzoJGDBAg5R01AfYay+92D6LUSbI3cPjnvzKNMLk5g6ke/eOXaPHK5WVTsX3xo2jByYAcPLJwPXX6wmE669Pf/uyUV4esHGjzkFKtEhsKlx1FbBypfakXHst0LWr920gouwMTgDNdgUgrtPzxpi4e0yMMeMQIS2wa5snATwZ5/NdE+9rZ7RwdU7WrQNeeUVvDxjA4CSSHXfUmgCxjAo7EjEYamo0yKqsZI8B1TZ4sJ4tLygI1sFgoj2R7drp0K5fftHCsRTeNddo0Pfnnzr8dLfdnHUi/tY5+eADJ0vbhRf60wYiyt7ghAImNxc47TQNUho10rHFrHPiv61bNWDIy0tvit8dd9Sx5EShRo0KXmD9wQfAuVayxfbtgXHj4ntcz556och++gn45hu9/eeftYMTPx1xhBOYAKxzQuQjBifkDREtUObWowcwYYIGKW3b+tOuhm78eOCf/9TbAwYAs2ZF356oIaipAZYv19sDBgCHH+5ve7JJUGud2NniAE1swB5eIt8wOCH/tG8PnHqq361o2OzABNDsONFMnw7cd59OWu3XDzj0UB3u0qGDpv8M9a9/AZ9/rsNj/v1vrR9AFM7YsVr4rqBA6+Ncfrm/7XFnk9uc+flIAuXSS7UXffvt66aN3rpVs/z5UajVvc9HjuTcOCIfMTghCrqaGj1wKy/XlLzhamOUlwN33KEHd23aJFfc0j3GPpzVq4H33tPbP/0EPPSQ3h42TAOXUD/9BHz6qd5euTLx9lDDsXatExxvTHe+kjgMGKDpnlu1ql2Qkeqvb9/I68aM0e+x9u2192LMGK9apUP3jNF9Hq4GFBF5hsEJUdCJADffrEEKoKlXQ+fobNoE3HWX3u7YMf7g5MorNYho1y72uH93SuN1riR0kepSuCcRL18O/Pabno1s1YpDJsixdCnwmKscVTyTz9MtVmY8Sg+7TtPatbXnJHqhTx9vX4+IImJwQt55/nlND1ldDVxwgXcFtjKdiB4slVp1Q8vL6wYniWYWsj3wQPzb7rknMHmy7rcFC7TOSXExsMsu4be//HJNr1pQoAHQrrvq8mOPZR0IcvzwA7Bhg97ecUcn5bjfJk0CRo/Wz++RRzI9sBcmTtTviZISFkUkasAYnJB3brjBKVR2yik6+fq++/RAe9gw/8eZB9m112rPSfPm4TObtW4N3H67BjDpGobSsaMepAHAQQfFTrXZr59ze/Fi5zYLq5GbO5jefnv9nAXBypXAzz/r7WhDkSg5xuiJqtxcnWcCaLrxZ57RYV377+9te6ZP13T2hYX62pdd5u3rE9H/MDgh74TWOlm6FHj3Xb3vHjJEdY0eHX19+/bALbd405Zk5OdrD0tFBcdzU23bbae9JS1aAL16+d0ah7sIYH6+f+3IRscdpz2vALBwIdCtm7PuxBP9adOSJc7cuSAMLSRqwBickHdGjtTMN40aaQ8A65w0HEcfrReiUD16aErroBk71rn9t7/5145s5E6QsWpV7eDEL9OmObe/+MK3ZhARgxPy0h131L5/0EE6h6GqqnbueyIiv7nPnjOBQ2odfrgWYszJ0R6LIUP8bpH2Tr/5JrBlC/Dqq363hqhBY3BC/tluO71QZigq0t6PsjLgxx+BV17RA7jddgs/T2DqVOCmm3QezP77A4884nWLKVPssYcO8ywoAD77LHzdHK/ZdS9yc51kFJQaN94I7L030LVrMPY1oMkYVqzQk2WtW/vdGqIGjcEJUSYYN04n55aVAZdc4mS+sk2ZArz9th7cDRsGjBiR+jbk5tYe+nDMMXr9wgvA6afX3b6kRM+OAgxCKbp16zRj14YNQJMmfrdGvfuupr5u3tyfooDZLCcHOPBAv1tRF+cWEQUCgxOiTPDmm8A77+jtww6rG5zMmOH0TFRVpSc4iZS0IFKdE/cP/S+/AN99p5m6unQB2rZNffsocy1b5twOSnKMNm38bgERUYPE4IS8M368HoRUVwP//KcepFJ83AdsZWV117uHnaTr7F9urvbQNGum1eErKvR1t902/Pb9+wNffqntuf12YPBgXf7gg8AVV6SnjZSZTj4ZePllYN99NfMcERE1WAxOyDtPPqlnzwE9s//ppxqwNGqkqUTDDQ0idcopwKBBGqQMGFB3/WGHaX7+kpL01gcYPlyv99479ratWwNDh+rtDh2c5axzQqFefFEDVndtHCIiapAYnJB3QuucLFzozGHYd19fmpQxjjoq+vohQ4KR8SaSrl01uKqoqB2oEAHaKzdokN+tICKiAGBwQt457TSdrN2okU6Qrq521jXiRzGr3XCDXoiIiIii4BEheeeCC2rfP/dc4OCDNUjZaSd/2kREREREgcHghPzTrVswKgNT/EaOBGbNAn79Fbj6ah2O9/e/R061OmgQsHGjzoVZujQ4aWKJiIgokBicEGWCadM0m1F5OXDAARokuN18M7BmjdY5ufLK9GVCW7RIAxMAuP9+4NFHgcrKyNsvWKDFGwHN7MXghIiIiKJgcEKUCebOBZ5+Wm/n5dUNTt58U7cB0pumObQGRaQaJ7aCAic4efttrQbdt2/sxxEREVGDxOCEvPPKK8CPP+ock1NPBXbf3e8WZQ53UFBeXnd9SYlzu6Agfe14/HFg5Urgtts0wIhVqO7jj4HGjYH99nMCqpkzgYED09dGIiIiylgMTsg7kydrgAJogb6JE4GPPtKD1zFjgEMO8bV5gbb33lonJi8P6NGj7voHHwTWr9cgpV279LWjRw+9fPZZfNv37q3XbdpoUAMATZump21ERESU8RickHdC65z88Qcwe7be37jRnzZlip499RLJ8cd715ZkDB6s9U0qKoBWrfxuDREREQUUgxPyzgkn6Jn0Ro205+Stt5x1jRv71y5Kv2ef9bsFRERElAEYnJB3jjxSL7b77tPCfFVV0XsFiIiIiKhByPG7AdSA7bST1sEYMgRo29bv1lA8Hn9ca5qI6P779tvo219/PbDNNjp5/rnnvGkjERERZSz2nBBlglWrtOhheTlQWFh7mNSffwKjRmmWru7dNZNWurizgi1aBEyYoPNJIikr07YDQHFx+tpFREREWYHBCVEm2LIFeOklvR1aw2TNGq0hAgADBqQ3OAmtcxIrbbF7/f/9H7DLLsCIEalvFxEREWUFBifknbff1roX1dXA0UcDhx7qd4syhzsoKCurvc6rGicAcMYZ2papU3Vo1557Rt/+6qu1KGT37sCMGTrnqKIivW0kIiKijMXghLzzzTfA2LF6u2tXrXj+22+aqevll4E+ffxtX5C1agW88ALQvHndAKRPH60QX1KS/rk7hYXAeefpJR5t2gA5rqltrHFCREREUTA4Ie+E1jlZtAiYN0/vV1X506ZM0aQJcPrp4de1bw8cc4y37UmEiNZhqaioOyyMiIiIyIXBCXnn8MO1EF+jRpqly64WD7DOSTZr1QqYONHvVhAREVEGYHBC3tl7b73Y3n9f509UVemcBMpexuh+btLE75YQERFRgGVtnRMR6SIiz4nIChGpFJElIvKwiBTW4zmHichWETEickeY9TtY6yJdXgn3vNZjzxSRGSJSIiJFIjJNRI5Itq0ZoWtXzd7Uty/QrJnfraF4fP+9U+dExEkTHMlXXwEtW2pv2cEHe9NGIiIiylhZ2XMiIjsB+BpABwCTAfwOYE8AlwE4VESGGmPWJ/icLQCMB1AGIFZKpB8BTAqz/JcIz30/gKsALAPwDIAmAE4C8I6IXGqMeTyRtlKWuvBCnadTXq5phbfbTpc/+aROiC8oAM46SzNipUtubu37q1YBnTpF3r5JE6e+iTurGBEREVEYWRmcAHgCGpiMMsY8Zi8UkQcBXAHgTgAXJPicjwBoBeBu6/HR/GCMGRPPk4rIEGhgshDAIGPMRmv5fQBmA7hfRN41xixJsL2Ubb74Avj1V729aZMTnPz6K/Dpp3r7gAPS24ZE65zk5zu358wBpk8H9tsv9e0iIiKirJB1w7qsXpMRAJYAGBuy+lYApQBOF5F8xElEjgJwFoBRAFakpqX/YwdJd9qBCQBYwchYAE2t1858U6YAI0cCp50GPPec363JPO7AoLzcue3ukciP+2OdnB13BG6+Gbj0UuCii4B27aJvv/POtSfD/+tf6W0fERERZbRs7DkZbl1/bIypca8wxhSLyFfQ4GUwgM9iPZmIdIAOtZpkjJkgIiPjaENnETkfQFsA6wF8Y4z5KcK29qnuD8Os+wDALdY2t8bxusG2YAEwfrzezs8H7rpLD7IbNwZ+/hlo0cLf9gXdAw9oAoG8PKBXL2f59dcDp5yiQUr//ultQ6NGiQUYjRrVnk/EOidEREQURTYGJz2t6/kR1i+ABic7I47gBBqY5CCxYWAHW5f/EZFpAM40xix1LcsHsC2AEmPMyghthdXWmERkdoRVvSIs91ZonZMVK5wegNC5DFTXsGHhl/fqVTtYCZrOnbXHrKIC2GMPv1tDREREAZaNwUkr67oownp7eetYTyQiZwM4EsCJxpjVcbx2GYB/QSfDL7KW9QUwBtqj85mI7G6MKU11WzPCvvsCzz+vQUr37lrx3NYoGz+KBEB7c55/3u9WEBERUQbgEWEEIrIDgIcBTDTGvBbPY4wxawCMDln8uYiMAPAlgL0AnAOdXJ9yxpgB4ZZbPSppHu8Th5131ott2TKtfVFVxSKM2cwYoLJSh50VFrKXjIiIiCLKugnxcHobWkVYby/fFON5ngNQDuCi+jbIGFMN4FnrrntsTqrampk6dgS6dNFJ1iJ+t4bSZccddZ5M+/bA8uV+t4aIiIgCLBuDk3nWdaR5Gj2s60hzUmz9oemI17oLKQKwx6fcZC2bFGe71lrX/0unZA3vWg6gQES2qUdbqSEYOxbYZx9gwABgwgRn+QEHAEOGACNGABs2+Ne+SNwT4lnrhIiIiKLIxmFdU63rESKS487YZRVSHAqdG/JtjOd5AUDzMMt7QHs/foDWIfk+znYNtq4XhSyfAuB0AIfCCXxsh7m2oYZu6VKtuA7U7oGYOdM56A/ikKl585zb334L9O7tX1uIiIgo0LKu58QYsxDAxwB2AHBxyOrboD0XL7ompUNEeolIrXRHxphRxphzQi9wAoj3rGVjXc/TX0TqvKciciC0+CMATAhZ/ZR1fZOIFLoeY7e/EnWDlsw0Zw5w3HHAUUcBY8b43ZrM465zUlam1zU1QGmpszzddU6ScdNNzu2//vKvHURERBR42dhzAug8ka8BPGoFBnOhk9GHQ4dI3RSy/Vzrur4THx4E0ENEvgawzFrWF04tk1uMMV+7H2CM+dqqXH8lgJ9E5HUATQCcCKANgEuzpjr82rXAm2/q7T//BP79b50Iv+22wG+/+du2THDmmcCBBwLNm+t7BuhcnTlzNEApLQ1m1rOqKuc265wQERFRFAE8kqk/Y8xCERkI4HbocKnDAayEZsm6zV2JPcVeBHAMgEHQIVmNAawG8BqAx40xX0Ro71Ui8jO0p+Q8ADUA5gC4zxjzbpra6j33gXNZmdY4KS9n8cV47bijXtxEgN1396U5cRsyBLjkEs3YFfS2EhERka/EGON3GyjNRGR2//79+8+eHalGo0fWrAE+/1yDlNJS4LTTdPkOOwCLF/vaNCIiIiKqvwEDBmDOnDlzIpW4iCUre04ooDp0AI4/Xm/X1ABHH61Dfmpqoj6MiIiIiBoGBifkj5ycYE7eJiIiIiLfZF22LqKs9c03OmejZ0/gjDN02eefA9276/LLL/excURERET1x54TokxRWQn8+KPe7thRr9evBxYu1Ns77OBLs4iIiIhShcEJeWfpUuDcc4HqaqBzZ2D8eB3eRfFx1zkpL9drd8X1ggJv20NERESUYgxOyDvl5cDHHzv3J0zQ4GT4cODTT/1rV6bo00drmuTlAS1b6rJjjgHmz9cghSmZiYiIKMMxOCHvhCsQWFMDMJ11fPLzgT32qL2soADo0cOf9hARERGlGIMT8s422wAffqhBypdfAmPG6PLGjX1tFhEREREFA4MT8k7z5sAhh+jtAw8ERo/WnhPWOSEiIiIiMDghP4kAubl6ISIiIqIGj6mSiDKFMcDOOwPbbgu0aQNs3Qqcd54Ol+vRA3j3Xb9bSERERFQv7DkhyhQiwPLlQFmZ3i8vB9asAVat0vtVVf61jYiIiCgFGJyQdyoqgAMO0DonW7cCU6boZPgmTcJn8qK68vKc4KSsjHVOiIiIKKvwiJC8k5MDfPONc791a70+5xzgmWd8aVLGmTFDA7rmzYHCQuCtt4DiYg1SOnf2u3VERERE9cLghLwTqXeEvSbx69at9v0WLVh8kYiIiLIGJ8STd3JytL7Jt98C556rw5CaNdMLERERETV4PGVN3ho6VK/32gt4+ml/20JEREREgcKeE6JMZozfLSAiIiJKGQYnRJnkjDM0kUCTJsCkSTo5vlUrYLvtGKgQERFRxuOwLqJMUl4OFBXp7bVrNSXz5s0amIj42zYiIiKiemLPCXlr//2B3r2BDh2An37SIoLl5X63KnPk5Tm31651brPGCREREWUBBifkrfnzgblz9cC6Xz+gY0fg8cf9blXmePRRYMMGDehuuAHYsgXYuBGYM8fvlhERERHVG4d1kbfC1TRp3Nj7dmQqu3ClrXHjusuIiIiIMhR7TshbH30E/PorcMIJQLt2euGQJCIiIiICe07Ia7vsotevveZvO4iIiIgocBicEGWiqiqgslKHyTVtykxdRERElBU4rIsokzzzjM4zadJEh8Tl5en9Cy/0u2VERERE9cbghCiTNG4MVFfr7cpKvd66NXyiASIiIqIMw+CEvHX00VrNXAR4+WVg4UKgrMzvVmUOu85JjvWv26SJXjOpABEREWUBnm4lb61ZAyxbprdPOUWvJ08GjjzSvzZlkuOO0x6Txo2deSZbtgA1Nf62i4iIiCgFGJyQt1jnpH7CvX927wkRERFRhmNwQt565RWdM3HBBcBvv+nwJA5JIiIiIiIwOCGvde6s1++/7287iIiIiChwGJwQZRJjdI5JeTmwciXQsSOQn69Du1jrhIiIiDJc1mbrEpEuIvKciKwQkUoRWSIiD4tIYT2ec5iIbBURIyJ3hFnfQ0SuE5EpIvKXiGwRkdUiMllEhkd4zpHW80W6XJBseykL/fkn0KwZUFgI9O4NtG2r96dN87tlRERERPWWlT0nIrITgK8BdAAwGcDvAPYEcBmAQ0VkqDFmfYLP2QLAeABlACJNkvgXgBMB/AbgfQAbAPQEcCSAI0XkMmPMoxEeOxnAD2GWz0qknZTl7FTCoThvh4iIiLJAVgYnAJ6ABiajjDGP2QtF5EEAVwC4E0CiPRKPAGgF4G7r8eF8COBeY8z37oUish+ATwDcJyITjTErwzx2kjFmXIJtyjznnAO88QawaRNw/fXASScBPXvq2X+KrXlzzW6Wlwds3gy0bg2UlDA4ISIioqyQdcO6rF6TEQCWABgbsvpWAKUATheR/ASe8ygAZwEYBWBFpO2MMeNCAxNr+XQA0wA0ATAk3tfNSmVlGpgAwD33ALvvDixZ4mODMkyLFjrnpKhI559s3AhUVQG9evndMiIiIqJ6y7rgBIA9t+NjY0ytynTGmGIAXwFoDmBwPE8mIh0APAPt2ZhQj3ZVWdfVEdbvLiKXi8j1InK6iHSpx2sFF+ucpAcnwxMREVEWyMZhXT2t6/kR1i+A9qzsDOCzOJ7vGWgQl/TEdBHpCuBA6HyVzyNsdlnI/a0i8iyAy40xFXG+zuwIq4JzWn3sWOCRR7TS+fr1evY/0jwKIiIiImpQsjE4aWVdF0VYby9vHeuJRORs6GT2E40xq5NpjIg0BfASgKYArjXGbAzZZDGASwF8DGAZtP37QOe2nA+gJYBTknntQGrRQq+nTPG3HUREREQUONkYnKSEiOwA4GEAE40xryX5HLkAXgQwFMCrAO4P3caajzLdtagMwEQR+RbAjwBOFpF7jTE/xno9Y8yACO2YDaB/4n8BBdKmTXr5+Wdgl12Adu10YjwRERFRhsvG4MTuGWkVYb29fFOM53kOQDmAi5JphBWYTABwAoDXAJxmjDHxPt4Y85eIvA/gVADDoIEKETBkCDB3rnN/u+2ApUv9aw8RERFRimTjhPh51vXOEdb3sK4jzUmx9YemI17rLooI4Hlr/U3WskmhDxSRxgBeBnASgP8DcIoxJtJE+GjWWtdxZxbLGMYANTWxt6O6mjevfZ9phImIiChLZGPPyVTreoSI5LgzdlmFFIdCh059G+N5XoBm9QrVA9qT8QOA2QBCa5o0gfaUHGU9x1mhWcMSsJd1vSjJxwfPjTcC//43sHUrcMghwM03A0OHMttUIjp2rH1/m238aQcRERFRimVdcGKMWSgiH0Mzcl0M4DHX6tugvRD/McaU2gtFpJf12N9dzzMq3POLyEhocPKeMebmkHVNAbwJ4HAA/wVwXqzAREQGGmNmhSzLAXAdgL0BrIMWd8weW7fq9Ucf6YU9KIl57z2/W0BERESUFlkXnFguAvA1gEdF5EAAc6G9EMOhw7luCtneHsBf39P3T0EDk3UAlgMYLXV7BKYZY6a57s8UkV+gc0qWQ+fEDAXQB9rDc6oxZnM92xUcoXVOcnPZa0JEREREALI0OLF6TwYCuB3AodCAYSWARwDcFiadb6rsaF23AzA6ynbTXLfvB7AngAMAtAFQA2AptLr9g8aY7BnSBQCjRwPXXgscdRRQXQ3kZOO0JyIiIiJKRlYGJ4BmuwJwVpzbxn3q3hgzDsC4COv2j/d5XI+5JtHHZLRGjXQC92fx1L8kIiIiooYka4MToqy1YQPw/ffAkiXATjsB/foBhYV+t4qIiIio3jimhijT3H03cNBBwDnnAMOHAw8+6HeLiIiIiFKCPSfkra1bgaoqnW+Smwvk5fndoswT+p6xzgkRERFlCfackLeefloPrlu0AHr0AD7/3O8WZZ5OnWrfD617QkRERJShGJyQt9yphJcv16FJlJiLLgKMcS4jR/rdIiIiIqKUYHBC3mrcuPb90LonRERERNRg8ciQvDVyJLD//sAVV+jcky5d/G4REREREQUEgxPy3g47AG+95XcriIiIiChgGJwQZZriYuC554DSUqBDB+C004BmzfxuFREREVG9MTghyjSzZgGXX+7c328/zXxGRERElOEYnJC3tmwBioq0zknjxkC7dn63KPOwzgkRERFlKWbrIm999pkORercGWjfHvjiC79blHkKC2vfb9HCn3YQERERpRiDE/JWaOrge+/1px2ZrGfP2nVO2HNCREREWYLBCXkrdOJ2aN0TIiIiImqwOOeEvLXvvsCMGcCjj+q8k0GD/G4REREREQUEgxPy3qBBwIsv+t0KIiIiIgoYDusiIiIiIqJAYHBCRERERESBwGFd5K0tW4Dly3W+SW4u0K2b3y0iIiIiooBgcELeWrgQ6N3buf/NN8Dgwf61h4iIiIgCg8O6yFuhdU5ee82fdhARERFR4DA4IW81bVr7PuucEBEREZGFw7rIW9tvD3zwAfD220BVFbDnnn63iIiIiIgCgsEJee/QQ/VCREREROTCYV1ERERERBQIDE6IiIiIiCgQOKyLvFVTA/zyi9Y5qakBBg70u0VEREREFBAMTshblZVAv37O/R9/BPr29a89RERERBQYHNZF3gqtc/LNN/60g4iIiIgCh8EJeSs0OGGdEyIiIiKycFgXeUtEq8LPnKl1Tvr08btFRERERBQQDE7IeyecoBciIiIiIhcO6yIiIiIiokBgcEJERERERIHAYV3kvRkzgIoKrXWyzz5AkyZ+t4iIiIiIAiBre05EpIuIPCciK0SkUkSWiMjDIlJYj+ccJiJbRcSIyB1RthsiIu+LyAYRKReRn0TkchHJjfKYI0RkmogUiUiJiHwnImcm29ZA22svYL/9gAMPBGbP9rs1RERERBQQWRmciMhOAGYDOAvADAAPAVgE4DIA34hI2ySeswWA8QDKYmx3FIDPAQwD8BaAxwE0sdrwSoTHXALgHQB9AEwA8AyAzgDGicj9ibY1oyxc6HcLiIiIiCggsjI4AfAEgA4ARhljjjbGXG+MOQAaIPQEcGcSz/kIgFYA7o60gYi0hAYWWwHsb4z5pzHmGgC7A/gGwPEiclLIY3YAcD+ADQAGGmMuNsZcAaAvgIUArhKRvZNob2Zo3tzvFhARERFRQGRdcGL1mowAsATA2JDVtwIoBXC6iOQn8JxHQXthRgFYEWXT4wG0B/CKMWaWvdAYUwHgZuvuhSGPORtAUwCPG2OWuB6zEcBd1t0L4m1rRhg3Drj9duCWW4BBg/xuDREREREFRDZOiB9uXX9sjKlxrzDGFIvIV9DgZTCAz2I9mYh0gPaGTDLGTBCRkVE2P8C6/jDMus+hQ8KGiEhTY0xlHI/5IGSb7HBmdk6lISIiIqL6ycbgpKd1PT/C+gXQ4GRnxBGcQAOTHMTXexHxtY0x1SKyGMCuALoBmBvHY1aKSCmALiLS3BgTa75LpNnl/ebOnYsBAwbE8ScQERERESVn7ty5ALBDso/PxuCklXVdFGG9vbx1rCcSkbMBHAngRGPM6jS9djyPybe2ixqcRLG1vLy8aM6cOUuSfHwsvazr39P0/BQs3N8ND/d5w8L93bBwfzcsXuzvHQBsTvbB2RicpIQ1Uf1hABONMa/525r4GGN86Rqxe2z8en3yFvd3w8N93rBwfzcs3N8NSybs76ybEA+nB6JVhPX28k0xnuc5AOUALkrza8f7mEg9K0REREREWSEbg5N51vXOEdb3sK4jzUmx9YemI15rFV00ImIAPG+tv8laNime1xaRRgB2BFANrbkSz2O2gQ7pWhZrvgkRERERUabLxmFdU63rESKS487YZRVSHAqdu/FtjOd5AUC4Ihw9oAUWf4AWevzetW4KgFMBHArg5ZDHDbOe73NXpi77MUOtx3wT8pjDXNsQEREREWW1rOs5McYsBPAxdDLOxSGrb4P2RLxojCm1F4pILxHp5d7QGDPKGHNO6AVOz8l71jJ3LZXXAawDcJKIDHQ9fzMAd1h3nwxp0/MAKgFcYs1zsR9TCOBG6+5T8f31RERERESZKxt7TgCdJ/I1gEdF5EBo2t69oDVQ5gO4KWR7O62v1OdFjTGbReRcaJAyTURegVZ+PxKaMvh1AK+GPGaxiFwD4FEAs0TkVQBboAUduwB4wBgT2qNCRERERJR1xBjjdxvSQkS2A3A7dLhUWwArAbwF4Dar+rp7WwMAxpiYwYlVhPF5AHcaY26OsM1QaAC0N4BmAP6ATrB/1BizNcJj/g7gauhclxwAv0Grxo+P1SYiIiIiomyQtcEJERERERFllqybc0JERERERJmJwQkREREREQUCgxMiIiIiIgoEBidERERERBQIDE6IiIiIiCgQGJwQEREREVEgMDihpIlIFxF5TkRWiEiliCwRkYet6vYUUCLSVkTOEZG3ROQPESkXkSIR+VJE/ikiYb8XRGSIiLwvIhusx/wkIpeLSG6U1zpCRKZZz18iIt+JyJnp++soHiJymogY63JOhG0S3ncicqaIzLC2L7Ief0R6/gqKRUQOtP7PV1nf0StE5CMROTzMtvz/zmAi8jcR+VhElln7b5GITBSRvSNsz/0dcCJyvIg8JiJfiMhm6/t6QozHeLJf0/5db4zhhZeELwB2ArAagAEwCcA9AKZY938H0NbvNvIScd9dYO2nFQBeAnA3tEjoJmv567BqILkecxSAagAlAP4L4D5rPxsAEyO8ziXW+nUAxgJ4CMBf1rL7/X4fGuoFwHbWvi629sU5qdh3AO631v9lbT8WwHpr2SV+/90N7QLg36798TSAuwA8A2AOgH+HbMv/7wy+ALjXtS+etX6PXwewBUANgNO4vzPvAuAH6/0tBjDXuj0hyvae7Fcvvut9f/N5ycwLgI+sD+KlIcsftJY/5XcbeYm47w4A8HcAOSHLOwFYau2/41zLWwJYA6ASwEDX8mYAvra2PynkuXYAUGF9Ye3gWl4I4A/rMXv7/V40tAsAAfApgIXWD1ed4CSZfQdgiLX8DwCFIc+13nq+HdL1d/FSZz+fa+2PcQCahFnf2HWb/98ZfLG+t7cCWAWgQ8i64da+WMT9nXkXa//1sL6390eU4MSr/erVdz2HdVHCRGQnACMALIFGzG63AigFcLqI5HvcNIqDMWaKMeYdY0xNyPJVAJ6y7u7vWnU8gPYAXjHGzHJtXwHgZuvuhSEvczaApgAeN8YscT1mI/QMLqA9OOStUdDg9Czo/2k4yew7+/6d1nb2Y5ZAvyOaWq9JaSYiTQHcCT3RcJ4xZkvoNsaYKtdd/n9ntq7QIfrfGWPWuFcYY6ZCz7q3dy3m/s4QxpipxpgFxjr6j8Gr/erJdz2DE0rGcOv64zAHuMUAvgLQHMBgrxtG9WYftFS7lh1gXX8YZvvPAZQBGGIdFMXzmA9CtiEPiMgu0OEejxhjPo+yaTL7jvs7OA6GHqS8CaDGmotwnYhcFmH+Af+/M9sC6PCtPUWknXuFiAwD0ALaW2rj/s5OXu1XTz4LDE4oGT2t6/kR1i+wrnf2oC2UIiLSCMAZ1l33F0/E/W2MqQawGEAjAN3ifMxK6Fn7LiLSvJ7NpjhY+/ZF6Nn0G2NsntC+s3pItwVQYq0Pxe8Dbw2yrisAfA/gXWhQ+jCAr0Vkuoi4z6Tz/zuDGWM2ALgOQEcAv4nI0yJyt4i8BuBjAJ8AON/1EO7v7JT2/erldz2DE0pGK+u6KMJ6e3nr9DeFUugeAH0AvG+M+ci1PJn9He9jWkVYT6k1GsAeAEYaY8pjbJvovuP3QbB0sK6vgY4N3xd69rwv9GB1GICJru35/53hjDEPAzgWevB5LoDrAZwAnbA8LmS4F/d3dvJiv3r2Xc/ghIggIqMAXAXN7HG6z82hFBKRvaC9JQ8YY77xuz2UdvbvejWAI40xXxpjSowxPwM4BsAyAPtFSjFLmUdEroVm5xoHzaSZD2AAgEUAXhKRf/vXOqLEMTihZMQ6S2Iv35T+plB9icglAB4B8BuA4dYwAbdk9ne8j4l0BoZSwBrO9QK02/6WOB+W6L7j90GwbLKuv3dPcgUAY0wZNNMiAOxpXfP/O4OJyP7QVMJvG2OuNMYsMsaUGWPmQIPR5QCuEhF7OA/3d3byYr969l3P4ISSMc+6jjSusId1HWlOCgWEiFwO4DEAv0ADk1VhNou4v62D3x2hZ2kXxfmYbaBn9pZZB0uUPgXQfbALgApX4UUDzawHAM9Yyx627ie074wxpdADoAJrfSh+H3jL3n+bIqy3M+zkhWzP/+/MZBe+mxq6wnr/Z0CP9fawFnN/Z6e071cvv+sZnFAy7C/BERJSTVxEWgAYCs0M8a3XDaP4ich10AJKP0ADkzURNp1iXR8aZt0waGa2r40xlXE+5rCQbSh9KqHFuMJdvre2+dK6bw/5SmbfcX8Hx2fQuSa9Q7+fLX2s68XWNf+/M5udfal9hPX2cjulNPd3dvJqv3rzWahvoRReGuYFLMKY0RfoEB8DYBaANjG2bQlgLRIr7rQjWLQr0BcAYxC+CGPC+w4swhioC4DJ1v64ImT5CGjF8I0AWlnL+P+dwRcA/7De71UAtg1Zd5i1v8sBtOX+ztwL4ivCmPb96tV3vVhPSpQQqxDj19DMMJMBzAWwF7QGynwAQ4wx6/1rIUUiImdCJ05uhQ7pCjdOeIkxZpzrMUdDJ1xWAHgFwAYAR0JTEb4O4B8m5MtERC4F8Cj0C+tV6Jm74wF0gU7OvjqFfxYlSETGQId2nWuMeTZkXcL7TkQeAHAldML16wCaADgRQFvoSYzH0/bHUC0i0gX6/bwdtCfle+iByNFwDlLecG1/NPj/nZGs3rGPABwELbj4FjRQ2QU65EsAXG6MecT1mKPB/R141n462rrbCcAh0GFZX1jL1rnfd6/2qyff9X5Hg7xk7gX6w/c8gJXWB/pPaC79Qr/bxkvU/TYGeoAS7TItzOOGAngfeta1HMDPAK4AkBvltf4OYDr0R7MUwEwAZ/r9HvASueekPvsOwEhru1LrcdMBHOH339oQL9DhPI9Z38tbAKyDHrjuGWF7/n9n6AVAYwCXQ4dSb4bOLVgDrXEzgvs7My9x/FYv8Wu/pvu7nj0nREREREQUCJwQT0REREREgcDghIiIiIiIAoHBCRERERERBQKDEyIiIiIiCgQGJ0REREREFAgMToiIiIiIKBAYnBARERERUSAwOCEiIiIiokBgcEJERERERIHA4ISIiIiIiAKBwQkREREREQUCgxMiIqIAEpExImJExPjdFiIirzA4ISKiuIjI9vbBsohsE7JusbX8H361j4iIMh+DEyIiitc+1vVCY8xKe6GIdAGwg3X3S68bRURE2YPBCRERxcsOTkIDkH2t68XGmBUetoeIiLIMgxMiIoqXHZx8EbJ8mHXNXhMiIqoXBidERBSTiLQGsKt1NzQ4sXtOGJwQEVG9MDghIqJ4DIH+Zqwxxsy3F4pIGwC9rbtRgxMRyRGRM0TkfRFZISJbRGSziCwUkc9F5HYRGRjhsX1E5GYR+UhElolIpYiUiMgCERkvIoNjvHatzFci0tJa9rP1PGusdg0JeVwHEblDRH4VkVIRWS8ik0VkjyivNdKVOGAHEWkqIleKyCwR2SQixSIyW0SuEpEm0dodDxFpIiIXWO/NSut9XSci00VklIg0i/H4PUTkGRH53fobK0VkuYj8ICLPisg/RKRpfdtJRBQPMYYZComIyCEiIwE8n4KnGm6MmWY9ZwGAdwDsH+Mx3xljagUaIrI/gKlxvN49xpgbwq0QkTEAbrXubg/gUwA7h9l0K4CTjTETRaQvgPcBbBtmu0oAhxlj6rQr5P3rD+BpAGGDLgA/ADjYGLMuWpuNMRLuwSLSB8AkADtFeH4AmAfgCGPMH2EePwrAQ4h9snIXY8zvMbYhIqq3Rn43gIiIGoRb4QQmHwCYAOBPAGUA2gPoC+AwAHlhHtsIQCmA9wBMAfA7gM0AOkCHmo0C0BXA9SIy3xgTK7CaCKALgLsBfGi1YR8AtwFoCeC/IjILwLtWe24CMB1AFYBDrftNAYwTkR7GmC1RXus/0MDkdQDjAKwCsCOASwDsB2B3AJNFZF9jTE2MdtciIt2gQ+xaW6FzRAAAB4dJREFUQ9+fpwB8DWCp9XccAuBSAD0BfCAiA40xRa7H94UTmCwBMBbA9wDWA8gH0MNq41GJtIuIqD7Yc0JERLWISCsA7jomzQHMhB7EHgVgvmvdJOjB760AXgt5qqXGmDLrOZcC2A7Am8aY46K8dltjzPqQZe0AVBtjNkV4TBNoIHEwNODZyRizNWSbMXB6TioB7GeM+S5km79ZzwMAawEIgMHGmIUh210EPZAHgGONMW+FrB+J2j1Ptxpjbg/ZRgC8COBUa9F5xphnIrU5XM+JiHwBDap+BXCQMWZVmG0GQgOr5gDuMMbc4lp3O4BboIFN93CPt7ZrDqDGGFMRbj0RUSpxzgkREdVijCkyxvxuX6Bn5nMAFAN4z7V8GYDu1sMmux9jXcpcT9vJup4e47XXh1m2LlJgYq3fAuAa625XaG9ENA+HBibW87wHDW4A7c25JTQwsTwPwD5Q3zfMerefAdwR5rUMgIsBbLQWXRLjeWoRkX3gZE87K1JgYYyZBSeQOjtktb1P5kd6vPUcZQxMiMgrDE6IiCgW+wD865AeicEAcqFDrH6O8Rx2/ZMTrTPxSbMmmG8vIr2tifJ9oL0ctn4xnuKVKOt+sq4NgFfDbWCMKQewwLrbLcZrjY80XMsaYvWmdbeviHSI8Vxu9lCrP40xM2Ns+7l13VlEtnctt/dJbxHZM4HXJiJKGwYnREQUix2chKYQHmpdfxPHfIlx1vUQAItFZKyIHCcinaI85n9EJF9EbhCRH6HDkP6EDmf62bp879q8XYynmx9l3Sbrep0xZmMc27WI8VozEljfN8a2bvYE+66uzGBhL9BEBDb3+/0ygC3Q+TNfici7InKRiPQVER4fEJEv+OVDREQRiUgjaA8JEDk4+SqOp7oDmrXKQCeyXwSdJL7SSmF7r4h0jdCGHaAByF3QA/jcGK8VblL9/4QMNwtlB1nRtnFvF6sta2KsX+263TbGtm6J9LK4/a/XyhgzD8A/oBPgGwH4G3QI2I8A1onIayJyaJKvQ0SUFAYnRET0PyKyJOSsexU0cxMATA9Zd7C1/PaQs/XTQp/XGFNtjDkfwC7QrFifw5m30RPAtQDmi8i5YZr1IjTDlQHwHIAR0Mn1zQDkWJPF3UFC2LS7PklX1hn77/0dwG4JXGoNATPGTIa+t/+EZjGz554UAjgBmuXrPRGJGvAREaUKUwkTEZFnrLP1YwCMsQr7DYaevf8ndHjRUyIy0xjzAwCISC84E7/vMsbcHOGp26Sz3fXQEdGHkXV03a6TDCCKddCgroUx5pdkGmYzxhRDg77nAEBEegA4AjpJvxuAwwHcCeDK+rwOEVE82HNCRERuI1D7TLtd9X1syPJHreXfoe7Z+bPieSFjTKUxZrox5mLXY3IAHO/abFfX7bAT1C2Rihz6LdZE80Gu27GSCrjZc2y2tYa9pYwxZoEx5iHoe2oPO/tHKl+DiCgSBidERPQ/xpj5xphfrLPxv8EJDibZy611dpaqT9zLrcviJF76M9dt94R2dw9/PiK7IInX9MIZkSaXi0hLAHbNl5+NMavDbRfBZNftK5JtXDRWQoA51t1YSQaIiFKCwQkREUWyG3TuQRWAb+yF1sG2PdQqat0Sa/s2InKkVXgwkhGu2+7gZoHr9sgIz38hglvFvC+AG0IXWu/F49D3F3BqkcTFGPMpgG+tu5dahR8jEpFuInJKyLJjRKQwymPaABhg3U0m4CQiShjnnBARUST7WdezjTGlruV9oYUZqwB8HcfztISe6V8qIm9Ch4Itgaax7QjgEDg9H8UAJrge+z2AXwD0AXC+dTD9IoCVALoAOA06DOwrONnDgmQmgDtEpB80nfIq6AT0SwDsb23zHYBnk3juU6CpiNsBeF5ETgbwf9BJ8lXW8n4ADoPuy7es9bbLALwkIu8DmAJgLrQoZCvrcZfAyQr2RBLtIyJKGIMTIiKKxA5OPo+wfFaMtLyhtgdweZT1GwGcYIxZbi8wxhgROR168FwInfsQOv/hZ2hmqRUInvOhgccJ1iXUTwCODCluGRdjzGIR2RuakrkftPdpRJSHbA6zLA86tOy4MOtsj0J7eYiI0o7BCRER1WENOxpm3Q0NTuzlMYd0Wf6ETgw/FFqEcQdoj0kL6AHz7wA+APCUMWZd6IONMT+IyO7Q4VGHAegM7WH5A8BrAMYaYyqijxrzzUZoj86lAE4C0B2aBngBtBfjUWNMZbJPboz5Q0T6Q4OL46Hvc0fo7/tG63W+AfC2MSa0Ts3J0Nom+0HnFnWC9rZUAVgK7Y161hjzLYiIPCLGpCsFOxERUcNjzf943rq7ozFmiX+tISLKLJwQT0REREREgcDghIiIiIiIAoHBCRERERERBQKDEyIiIiIiCgQGJ0REREREFAjM1kVERERERIHAnhMiIiIiIgoEBidERERERBQIDE6IiIiIiCgQGJwQEREREVEgMDghIiIiIqJAYHBCRERERESBwOCEiIiIiIgCgcEJEREREREFAoMTIiIiIiIKBAYnREREREQUCAxOiIiIiIgoEBicEBERERFRIDA4ISIiIiKiQPh/NWaqXPngAyYAAAAASUVORK5CYII=", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": { "image/png": { "height": 266, "width": 403 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ml_model = Bernoulli()\n", "samples = list(range(10, 1000, 10))\n", "mu_estimations = []\n", "\n", "for N in samples:\n", " D = true_distribution_fair.draw(N)\n", " ml_model.ml(D)\n", " mu_estimations.append(ml_model.mu)\n", "\n", "plt.plot(samples, [mu_fair for N in samples], color=\"g\", label=\"True $\\mu$\")\n", "plt.plot(samples, mu_estimations, color=\"r\", linestyle=\":\", label=\"Maximum likelihood $\\mu$\")\n", "plt.xlabel(\"#samples\", fontsize=14)\n", "plt.ylabel(\"$\\mu_{\\mathrm{ML}}$\", fontsize=14)\n", "plt.ylim([min(mu_estimations), max(mu_estimations)])\n", "plt.legend(fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "Now, if we toss a coin $5$ times, then, the probability of getting $3$ heads and then $2$ tails is\n", "\n", "$$\n", "p(x_1=1)p(x_2=1)p(x_3=1)p(x_4=0)p(x_5=0) = \\mu \\times \\mu \\times \\mu \\times (1 - \\mu) \\times (1 - \\mu)\n", "$$\n", "\n", "or more general for $N$ times and $m$ heads, \n", "\n", "$$\n", "\\mu^m(1-\\mu)^{N-m}\n", "$$\n", "\n", "However, this is just one way to get $m$ heads, there are many other sequences of $N$ trials that would give us $m$ heads. How many exactly?\n", "\n", "The distribution describing the number of $m$ observations of $x=1$ in a sample dataset of size $N$ is called the [*Binomial* distribution](https://www.youtube.com/watch?v=8idr1WZ1A7Q), and is given by\n", "\n", "$$\n", "\\text{Bin}(m|N,\\mu) = \n", "\\left(\\!\n", " \\begin{array}{c}\n", " N \\\\\n", " m\n", " \\end{array}\n", "\\!\\right)\n", "\\mu^m(1 - \\mu)^{N-m}\n", "$$\n", "\n", "where\n", "\n", "$$\n", "\\left(\\!\n", " \\begin{array}{c}\n", " N \\\\\n", " m\n", " \\end{array}\n", "\\!\\right)\n", "= \\frac{N!}{(N-m)!m!}\n", "$$\n", "\n", "is the numbers of ways of choosing $m$ objects out of a total of $N$ identical objects, and is called the [binomial coefficient](https://en.wikipedia.org/wiki/Binomial_coefficient)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": { "image/png": { "height": 270, "width": 405 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "model = Binomial(10, 0.25)\n", "y = model.pdf(np.arange(0, 10))\n", "\n", "plt.bar(np.arange(0, 10), y)\n", "plt.xlim([-0.5, 10])\n", "plt.ylim([0, 0.3])\n", "plt.xlabel(\"$m$\", fontsize=14)\n", "plt.ylabel(\"$\\mathrm{Bin}(m|10,0.25)$\", fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.1.1 The beta distribution\n", "\n", "We have seen that the maximum likelihood estimator for the parameter $\\mu$ in the Bernoulli and binomial distributions, is given by the fraction of the observations in the data having $x=1$, which can lead to over-fitted results for small data sets. In order to arrive to more sensible results, we develop a **Bayesian treatment** for the problem by introducing a prior distribution $p(\\mu)$ over the parameter $\\mu$.\n", "\n", "Note that the likelihood function takes the form of the product of factors of the form $\\mu^x(1-\\mu)^{(1-x)}$. We would like to choose a prior proportional to powers of $\\mu$ and $(1-\\mu)$ in order for the posterior to have the same functional form as the prior, since the posterior is proportional to the product of the prior and the likelihood. This important property is called **conjugacy**.\n", "\n", "We therefore we choose a prior, called the **beta** distribution, given by\n", "\n", "$$\n", "\\text{Beta}(\\mu|a,b) = \\frac{\\Gamma(a + b)}{\\Gamma(a)\\Gamma(b)} \\mu^{a-1}(1-\\mu)^{b-1}\n", "$$\n", "\n", "where $a$ and $b$ are often called hyperparameters because they control the distribution of the parameter $\\mu$. In order to give an intuition about the hyperparameteres, we plot the beta distribution for various values of $a$ and $b$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": { "image/png": { "height": 266, "width": 543 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x_space = np.arange(0, 1, 0.01)\n", "\n", "for a, b in [(0.1, 0.1), (1, 1), (2, 3), (8, 4)]:\n", " model = Beta(a, b)\n", " plt.plot(x_space, model.pdf(x_space), label=\"$a={},\\; b={}$\".format(a, b))\n", "\n", "plt.xlabel(\"$x$\", fontsize=14)\n", "plt.legend(bbox_to_anchor=(1, 0.85), loc=2, borderaxespad=1, fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The fraction of $\\Gamma(x)$ functions ensures that the beta distribution is normalized, so that\n", "\n", "$$\n", "\\int_0^1 \\text{Beta}(\\mu|a,b)d\\mu = 1\n", "$$\n", "\n", "The mean is given by\n", "\n", "$$\n", "\\begin{aligned}\n", "\\mathbb{E}[\\mu] &= \\int_0^1 \\mu\\text{Beta}(\\mu|a,b)d\\mu \\\\\n", "&= \\int_0^1 \\mu\\frac{\\Gamma(a+b)}{\\Gamma(a)\\Gamma(b)} \\mu^{a-1}(1-\\mu)^{b-1} d\\mu \\\\\n", "&= \\int_0^1 \\frac{\\Gamma(a+b)}{\\Gamma(a)\\Gamma(b)} \\mu^a(1-\\mu)^{b-1} d\\mu \\\\\n", "&= \\int_0^1 \\frac{a\\Gamma(a+b+1)}{(a+b)\\Gamma(a+1)\\Gamma(b)} \\mu^a(1-\\mu)^{b-1} d\\mu \\\\\n", "&= \\frac{a}{a+b}\\int_0^1 \\frac{\\Gamma(a+b+1)}{\\Gamma(a+1)\\Gamma(b)} \\mu^a(1-\\mu)^{b-1} d\\mu \\\\\n", "&= \\frac{a}{a+b}\\int_0^1 \\text{Beta}(\\mu|a+1,b)d\\mu \\\\\n", "&= \\frac{a}{a+b}\n", "\\end{aligned}\n", "$$\n", "\n", "where we have taken advantage of the property $\\Gamma(x+1)=x\\Gamma(x)$. The variance is given by\n", "\n", "$$\n", "\\text{var}[\\mu] = \\frac{ab}{(a+b)^2(a+b+1)}\n", "$$\n", "\n", "The posterior distribution over $\\mu$ can be obtained by multiplying the beta prior by the binomial likelihood function and **normalizing**,\n", "\n", "$$\n", "p(\\mu|m,l,a,b) = \\frac{\\Gamma(m+a+l+b)}{\\Gamma(m+a)\\Gamma(l+b)} \\mu^{m+a-1}(1-\\mu)^{l+b-1}\n", "$$\n", "\n", "where $l=N-m$, and corresponds to the number of times $x=0$.\n", "\n", "Note that the effect of observing a data set of $m$ observations of $x=1$ and $l$ observations of $x=0$ is to increase the value of $a$ by $m$, and the value of $b$ by $l$, from the prior to the posterior distribution. Thus, the hyperparameters $a$ and $b$ in the prior represent the number of observations of $x=1$ and $x=0$, respectively. Furthermore, the posterior distribution can act as the prior if subsequent observations arrive. Imagine taking one observation at a time and after each observation updating the current posterior distribution by multiplying by the likelihood of the incoming observation. At each stage, the posterior is a beta distribution incorporating some number of (prior and actual) observed values for $x=1$ and $x=0$ given by the parameters $a$ and $b$. Incorporation an additional observation of $x=1$ corresponds to incrementing the value of $a$ by $1$, whereas for $x=0$ increment $b$ by $1$.\n", "\n", "We present a sequence of such Bayesian inference steps, where three observations of $x=1$ arrive before a single observation of $x=0$. Note how the prior revises the form of the **unnormalized** posterior on each update step according to the likelihood. Apart from the first step, where the prior is a Beta distribution having paramater $a=2$ and $b=2$, in each subsequent step the prior is the **unnormalized** posterior of the previous step." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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pWHhh2HbbPNldknqQCYQkNbKU8jCk730P9tsP/vvf8rW5586rLL32Wt6XYMCA4uJU1y29NPzhDzmRWG+98vkJE+Dqq3MicfDB8PHHxcUoqaWYQEhSo3r8cVhxRdhkE3j99fL5ueaC886Df/4z7ytg4tAcll4673D92GOwzjrl819/nee7LLAAnHVWrktSHZlASFKjefPNvCP0csvBo4+Wz888c94/4J//hD33NHFoVssuC/fcA488AssvXz7/0Uew//65N+qWW3LvlCTVgQmEJDWKzz+Ho4+GIUPgxhvL5/v3z/MeXn8dDjgApp66uBjVc5ZfHh5+GG66Kc99afP667DxxnkvjxdeKC4+SU3LBEKSGsGdd+bVd048sf0QlU02gZdfzkNYZp65uPhUjIicLLz4Yu59qvwdePDBvHHgYYfl/UAkqUZMICSpN/v3v+GnP80r8owYUT6/9NJ5CMuNN7b/9FmtacCA3Pv0z3/mYUz9+uXz48bBr36VJ1rffrvDmiTVREskEBGxcUScExEPRcToiEgRcU0N2t261FaKiJ1rEaskATB2LJxySvmNX5uZZ84bjT32WPvx7xLkJXrPOAOefjpPsG/z1ls5Ef2//3PZV0nd1hIJBHAUsDcwFPhPLRqMiG8D5wKf1aI9Sfqfp5+GpZaCww/P8x7a7LgjvPJK3misT6v8860u+f734a9/hSuugNlmK5+/88587ayz8jKwktQFrfI/0AHAYGAGYI/uNhYRAVwOfAhc2N32JAmAr77Kk6R/+EN49tny+UUXzZNlL70UZp+9uPjUWCJgu+1y0rn77rkOebfy/feHlVd2N2tJXdISCURK6f6U0msp1Wzw577A6sAOgDPTJHXfk0/mXocTT4Tx4/O5qaeGX/8ahg+HFVYoNj41rllmyRsKPv54TkbbPPIILL54noDf9jsnSVVoiQSiliJiYeBk4KyU0l+LjkdSg/vqK/j5z/Pa/s8/Xz6/4oq5F+Lgg/MyrVJ3Lb10TlSPOaY8yfrLL/Pv2Ior5tW8JKkKJhBTICL6AVcD/wZ+3o12hk/sAQypVaySGsDzz+deh2HDyp8ATzttHp/+4IOw4ILFxqfmM9VUcPzx8Pe/596HNo8/npd8PfdcV2qSNFkmEFPmGOAHwPYppS+KDkZSg0oJzjknJw+VvQ6rrJJ7Hfbd10nSqq+hQ3MScfzx5R6ur76CffbJKzWNHFloeJJ6N/+HqlJELEPudTgtpfRYd9pKKS05sQdg/7HU7EaOzHs67LtvfsMGea7DOefAfffB/PMXG59aR//+eTjTk0/CYouVz995Z67fc09xsUnq1UwgqlAaunQV8CpwdMHhSGpU99yT35jddVf53OKLw1NPwd572+ugYiy2GDzxRN6Irs1778F66+VzX35ZXGySeiX/t6rOdORlYBcGvqzYPC4Bx5buubh07syigpTUS339dX4jtt56+Y1ZmwMOgL/9LW8WJxVpwAA4/fSc5M45Z/n8mWfCMss4wVpSO/2KDqBBfAVc2sm1JcjzIh4GXgG6NbxJUpN56y3YZJOcKLSZc0646ipYe+3i4pImZp118jycHXfMQ5kg13/4w7wPyaabFhufpF7BBKKDiOgPzA+MTSm9DlCaML1zJ/cfR04grkwpXdJTcUpqAPfeC1tuCR9+WD63/vpw2WUwxxzFxSVNyhxzwO9/D+efn5d4/fJL+Owz2GyzvHfEr3+dV3OS1LJaYghTRGwYEVdExBXA4aXTy7Wdi4hTK26fC3gJ+EtPxympSUyYkFe3WXfdcvLQty+cemp+Y2byoN4uAvbaCx57rP3E/rPPzquFvfVWcbFJKlyr9EAMBbbrcG6+0gPgX8DBPRmQpCb1wQew9dbwxz+Wz33rW/Db38JKKxUXl9QVQ4fmndC33x5uvz2fe/xxWGIJuO46WGutAoOTVJSW6IFIKR2XUopJPOatuHdEx3NVtu3wJanVPfVUfmNVmTysumo+b/KgRjXjjHDrrXnoUt+++dwHH+T5Eied5MZzUgtqiQRCkurut7+FFVdsP7TjiCPgT3+CQYOKi0uqhYg8H+K++8q/zynBUUfBFlvA558XG5+kHmUCIUndMWECHH00bL45fFHaoH7GGeGOO+CXv4R+rTJSVC1h5ZXh6afzPIg2bcPznBchtQwTCEnqqs8+g402ghNPLJ8bPDgv2fp//1dcXFI9DRqUe9b22KN87qmn8lKvj7mSudQKTCAkqSvefBOWX748sRTymPDHH4eFFiosLKlH9O+fl3k9//xyL9t77+U5P1deWWhokurPBEKSptTDD8PSS8Nzz5XPHXgg/OEPMPPMxcUl9bQ99si9EbPOmutff51XbDr44Dy8T1JTMoGQpClx442w5pp5FRrIG2pddhmcdprzHdSaVl0VnngCvv/98rnTTsu7VrfNC5LUVEwgJKkaKeWN4DbbDL76Kp+bYw64/37YYYdiY5OKNt988Oij8JOflM/dckv7ZFtS0zCBkKTJGT8e9tkHDjmkfG7IkDzfYfnli4tL6k2mnz7vF7HffuVzjz6a/0Zef724uCTVnAmEJE3KmDHw05/CeeeVz628MjzyCHz3u8XFJfVGffvCmWfCGWfkvSMAXnsNll02r04mqSmYQEhSZ957D1ZbDX7/+/K5zTeHe++FWWYpLi6pt9t/f7j5Zph66lz/4IP8t1S5apmkhmUCIUkT8+absMIK8Pe/l88ddhhcey0MGFBcXFKj+NnP8s7Vs82W6198kfdNufjiYuOS1G0mEJLU0QsvwIorlsdt9+kDF1wAJ5+cy5Kqs9xyeXO5BRbI9QkTYNdd4ZRTio1LUrf4P6EkVfrb3/Ich3feyfUBA/LE0N13LzYuqVEtsECeTL3UUuVzhx+ee/RSKi4uSV1mAiFJbf78Z1hjDfjoo1yffnq45x7YYINi45Ia3eyz5+FMq61WPverX+XeiPHji4tLUpeYQEgS5DXr118/r7oEedz2/ffnTbIkdd/008Ndd7VPyC+5JC9M0La3iqSGYAIhSZdemnfN/frrXJ97bnjoIVhyyWLjkprN1FPn1Zm226587uab4cc/hs8+Ky4uSVPEBEJSazvvPNh55zy5E2Dw4LzHw5AhxcYlNat+/eCyy/JSr23+/GdYbz349NPCwpJUPRMISa3rrLNg773L9SWWyD0P88xTXExSK+jTB04/HX7xi/K5hx+GddaBTz4pLi5JVTGBkNSaTj21/SegyywDf/kLzDFHYSFJLSUCjjoqJxJtHnsM1l4bRo0qLCxJk2cCIan1DBsGhxxSrq+wQt5deqaZCgtJalkHHABnn12uP/EErLlmeTU0Sb2OCYSk1nLCCfDzn5frK6+cl2qdYYbiYpJa3T775M0a2wwfnpdU/uCD4mKS1CkTCEmtISU45hg49tjyudVXz8tKTjddcXFJynbfHS6+OA9tAnjmmfw3OnJkoWFJ+iYTCEmt4Re/aD9hc6214Pe/h4EDi4tJUns77wyXX15OIp57Lg9n+vDDYuOS1I4JhKTmd8op7Xse1lsP7rgDpp22uJgkTdx228HVV+eVmiAnEeus48RqqRcxgZDU3M46Cw4/vFxfZx247ba8oZWk3mmrreDKK8s9EcOHu0+E1IuYQEhqXhdd1H6p1lVXhVtvhQEDiopIUrW23hp+85ty/fHH847Vn39eXEySABMISc3qyivzpMw2yy+f5zw4bElqHDvvDOeeW67/9a+wwQbw5ZfFxSTJBEJSE7rhBthxx3L9hz90tSWpUe21V974sc2f/wwbbwxff11cTFKLM4GQ1FzuuCMPfZgwIdcXXzzv8zDjjMXGJanrDjoITjyxXL/zTthySxg/vriYpBZmAiGpeTz4IGy6aflNxfe+B3/6E8wyS7FxSeq+I4+Eo44q12+5JQ9TTKm4mKQWZQIhqTk8/TT85Cfw1Ve5Pv/8eajD7LMXG5ek2jnhBDjggHL9kktyYiGpR5lASGp8r70G664Lo0fn+qBBcO+98K1vFRuXpNqKyPMhtt22fG7YMDjttOJiklqQCYSkxvbOO7D22jByZK7PNBP88Y8w33yFhiWpTvr0yT0P//d/5XMHH5xXXpPUI0wgJDWujz7KG8ONGJHr00wDf/gDLLZYoWFJqrP+/eG3v4WVViqf22mnvIiCpLozgZDUmMaMyZtKPf98rvfrBzffDCusUGxcknrGNNPkhGHxxXN9/Pi8iMJf/1psXFILMIGQ1HjGjYPNNoPHHiufu+IK+NGPCgtJUgFmmikv0zz//Ln+1Vd5aNNzzxUaltTsTCAkNZaUYJ998jrwbc46C7baqriYJBWnbdGEQYNyffTo/GHCf/5TbFxSEzOBkNRYTjkFLrywXD/sMNh33+LikVS8+ebLPRHTT5/rb78N669fXplNUk2ZQEhqHNddB0ccUa5vsQX88pfFxSOp91h88TwPql+/XP/HP2DjjWHs2GLjkpqQCYSkxvDgg7DDDuX6KqvA5ZfnJR0lCfKSzr/5Tbn+pz/Bbru5W7VUYy3xP29EbBwR50TEQxExOiJSRFwzhW3MGhE7R8RtEfHPiPgiIj6JiIcjYqeIaImfpVSIF1+EDTeEr7/O9e99D267DQYMKDQsSb3QDjvAsceW65dfnnewllQzrfKm9yhgb2Ao0NVZVZsAFwPLAH8DzgRuAb4PXALcGBHR3UAldfDuu7DeejBqVK4PGgR33QUzz1xoWJJ6sWOPhe23L9ePOy6v1CapJlolgTgAGAzMAOzRxTZeBX4CzJ1S2iqldERKaUdgCPAWsBHws1oEK6mkba+Hf/871wcOzKsvfec7xcYlqXeLyEOZ1lqrfG6XXeC++4qLSWoiLZFApJTuTym9llLXB0GmlO5LKf0+pTShw/n/Am1LwqzajTAlVZowAbbbDp56Ktf79s0TJJdYoti4JDWG/v3zvxltG82NG5cnVb/6arFxSU2gJRKIHtC2xMO4QqOQmskxx8Att5Tr550H665bXDySGs8MM+Rey299K9c//jhvNPfxx8XGJTW4fkUH0Ogioh+wbal6T5XPGd7JpSE1CUpqdNdcAyedVK7vt19eSUWSptRcc8Edd8BKK8GXX+YeiE02gbvvzr0UkqaYPRDddzJ5IvVdKaU/Fh2M1PAefRR22qlcX3ddOPXU4uKR1PiWWgquuqpc/8tf8gaULu8qdYkJRDdExL7AQcDLwDbVPi+ltOTEHqV2pNb1r399c7nWG24obwwlSV21ySbtl3O98EI499zi4pEamAlEF0XE3sBZwIvAaimljwoOSWpsn36aV1x6//1cn202+MMfYMYZi41LUvM46ijYcstyff/94Z6qRh9LqmAC0QURsT9wDvA8OXn4b7ERSQ1u/Pj8n/rzz+d6//55o7jvfrfYuCQ1lwi49FJYZplcnzABNtssb1YpqWomEFMoIg4DzgCeIScPI4uNSGoCxx6bexvaXHwxrLhicfFIal5TTw233w7f/naujx6dh062bVYpabJMIDqIiP4RMSQi5p/ItaPJk6aHA2uklD7o8QClZnPLLe1XXDrkkLz/gyTVy6BB8Pvfw7TT5vprr+Ve0PHji41LahAtMTMxIjYENixVB5WOy0XEFaXyBymlg0vluYCXgH8B81a0sR1wAjAeeAjYNyI6fqkRKaUrOp6U1Innn2+fLKyzDgwbVlw8klrH4ovDFVfAppvm+t135/1nKj/QkDRRLZFAAEOBjh9pzld6QE4WDmbS2gZj9wX27+SeB4Erpjg6qRV9/HEeNjBmTK7PPz9cf33ecVqSesImm8Dhh8PJJ+f6L38JP/hB3rFaUqdaYghTSum4lFJM4jFvxb0jOp6rso1IKa3aw9+a1JjGj4cttoDXX8/1gQPzmOSZZy40LEkt6MQT2+9yv/328NxzhYUjNYKWSCAk9TJHHgl/rNh38cor4fvfLy4eSa2rb1+47rrcCwq5V3TDDeEjV2eXOmMCIaln3XgjnHJKuX7kkbDRRsXFI0kzzwy/+13uDQV4443cS+qkammiTCAk9ZznnoMddijXf/QjOP744uKRpDaLLAJXXVWu33tv/oBD0jeYQEjqGaNH556Gzz/P9QUXhGuvddK0pN7jZz/Lu1W3OeUUuOOO4uKReikTCEn1lxLsuGNeax3yMIHbboOZZio0LEn6huOPh/XWK9e33ba84IMkwARCUk8488y8YVybiy/OwwUkqbfp0weuvhrmmSfXP/kkL+v6xRfFxiX1IiYQkurr4Yfh0EPL9b32ypMTJam3mnVWuPlmmGqqXH/mGdhnn0JDknoTEwhJ9fPee3mX13Hjcn3ppeG004qNSZKq8cMf5t7TNpdeCpdfXlg4Um9iAiGpPsaNyz0N776b67POCjfdBAMGFBuXJFVr991hq63K9T33zL0RUoszgZBUH8ccA/ffn8sReaOmtjHFktQIIuCii8pztr78Ms+HGDWq0LCkoplASKq9O++EYcPK9WOPhbXXLi4eSeqqgQPzIhDTTZfrr7+e97NJqdi4pAKZQEiqrbffzssetllnHTj66OLikaTuWmghuOyycv322+HccwsLRyqaCYSk2hk3DrbcEj76KNfnnhuuuSYviyhJjWyTTWDffcv1gw+Gp54qLh6pQP6vLql2jj8eHnool/v0yfMeZput2JgkqVZ+9StYYolc/vpr2Gwz+PTTYmOSCmACIak2/vIXOOmkcv2EE2CllYqLR5JqbcAA+O1vYfrpc/2f/4TddnM+hFqOCYSk7nvvPdh66/J/omusAYcfXmxMklQPCyyQV2Zqc/317edHSC3ABEJS90yYkCdN//e/uT7HHHneQ9++xcYlSfWyxRaw007l+j77wAsvFBeP1MNMICR1z69+Bffem8sROXkYNKjYmCSp3s4+G773vVz+4gvYdFP4/PNiY5J6iAmEpK579FE46qhy/fDDYa21iotHknrKtNPCjTfCNNPk+osvtl+lSWpiJhCSuuaTT/KSrePH5/oKK+SJ05LUKhZZBM45p1y/9FK46abi4pF6iAmEpK7Zay/4179yeeaZ85Kt/foVG5Mk9bQdd8xzItrsuiu89VZx8Ug9wARC0pS79tr8aHPxxTDPPMXFI0lFiYALLoDvfCfXR43KC0u09c5KTcgEQtKUefNN2HPPcn3HHWGjjYqLR5KKNuOMeQGJPqW3VQ88AKeeWmhIUj2ZQEiq3rhxsM02MHp0ri+wAJx1VrExSVJvsOKKcOSR5fpRR8Hw4cXFI9WRCYSk6g0bBo88kst9++ZhTNNNV2xMktRbHH00LLNMLo8blxeaGDOm2JikOjCBkFSdxx+H448v148/HpZeurh4JKm36d+//Qcrr74KBx5YbExSHZhASJq80aNhq63KkwJXXDHv+SBJam/++dsv7fqb38BttxUXj1QHdV1zMSKmA34AzAcMAgYCY4FRwL+BF1JK/6xnDJJqYN994Y03crltsmDfvsXGJEm91XbbwV13lfeE2HnnPLTp//2/YuOSaqTmCURELARsCfyInDzEZO7/CPgzcBvwu5TSV7WOSVI33HYbXHlluX7hheXlCiVJ3xQBF10Ejz0Gb78NH32Uk4g778zXpAZXsyFMEbFxRDwEvAgcBSxZaj8m85gV2BS4HvhvRJwaES4oL/UGI0fCbruV61ttBZtvXlw8ktQoZp4Zrr66XL/77rxnjtQEup1ARMQGEfEc8FtgBXJSMBZ4AjgH2J7cG7EsMBhYHFgN+BlwBHA78G7peTMCBwCvRsS5ETF7d+OT1EUp5R1V338/1+eaC849t9iYJKmRrLoqHHBAuX7ggfD664WFI9VKt4YwRcSfgNUpJw13A9cCv08pfTmFbQ0hD33akjxnYg9gy4jYOqV0V3filNQFV10Fv/tduX755TDTTIWFI0kN6aST4J574KWX8pKu22+fN5pzHpkaWHd7INYAPgGOBwallDZMKd00pckDQErp5ZTSMSmlBUrtPgjMBCzVzRglTal//ztPnG6z556w1lrFxSNJjWqaafIHMm0Jw8MPw+mnFxuT1E3dTSCOAeZNKR2fUvq4FgEBpJTuTymtDqwMPF2rdiVVYcIE2GGH9rtN/+pXxcYkSY1sqaXyztRtjjoKnn++uHikbupWApFSOjGlNLpWwUyk/YdTSr+vV/uSJuLcc+G++3K5T5/8ydnAgcXGJEmN7sgjYcklc/nrr2GbbfJRakBuJCep7OWX4bDDyvXDDoPllisuHklqFv3751WZBgzI9WeegRNOKDQkqatMICRl48blzY++LE1hWnxxOO64QkOSpKay8MIwbFi5PmwY/O1vxcUjdZEJhKTs1FPhiSdyuX//PHRpqqmKjUmSms1++8Eqq+TyhAl5VaYvp3jtGalQJhCS4MUX4dhjy/Xjj4fFFisuHklqVn36wBVXwHTT5frLL9vbq4ZT0wQiIraMiNsi4rmIeCYiro+IDap87iIRMSEixtUyJkmTMW5cXnWpbTLfUkvBIYcUG5MkNbN554Vf/7pc//Wv4e9/LywcaUrVJIGIiBki4n7gauAnwPeARYFNgVsj4vGIWLDa5moRU4f4No6IcyLioYgYHREpIq7pYltzR8RlEfFORHwVESMi4syImLnWcUs94owz2g9duvxy6NetPSYlSZOz666w2mq53LZ89ldfFRuTVKVa9UBcC6xCfvMfwEfApxX1HwJPRcRPa/T1ptRRwN7AUOA/XW0kIuYHhgM7AE8AZwBvAPsBj0XErN2OVOpJr7wCRx9drh97LHz/+8XFI0mtok8fuPTS8jLZL7wAv/hFsTFJVep2AhER6wDrAwl4FFgspTR7SmkmYAngNnISMRC4MSJ26O7X7IIDgMHADMAe3WjnfGAOYN/SrtuHlza8OwNYCDip25FKPWX8eNhxx/InXj/4ARx6aLExSVIr+e534eSTy/WTT4anniouHqlKteiB2LZ0fA1YK6X0v60VU0rPpJQ2ArYExgB9gUsiYp8afN2qlXa2fi2llLraRqn3YW1gBHBeh8vHkr+/bSLCHbfUGM4+Gx59NJf79cuT+vr3LzQkSWo5e+4JK6+cy+PHt5+TJvVStUggliH3PpyZUvpiYjeklG4AViAPHwrgzIg4ogZfuyeVBipyb0ppQuWFlNKnwCPAtMCyPR2YNMVeey3vitrmqKNcdUmSitA2lGmaaXL92Wfhl78sNiZpMmqRQAwqHZ+c1E0ppWeBlYDXyUnEiRHRSEN+FiodX+3k+mul4+DJNRQRwyf2AIbUIlBpkiZMgJ12gi9K+f7ii8MRjZbPS1ITWWCB9hvMnXQS/OMfxcUjTUYtEoi25Vomu3pSSmkEsDLwYun+wyPijBrE0BNmLB0/6eR62/mZ6h+K1A0XXAAPPZTL/frlVZfcME6SirXPPrDCCrk8blyeozbOle3VO9UigRhZOn6nmptTSu+SV2x6hpxE7BsRF1GH5Vt7q5TSkhN7AC8XHZua3FtvweGHl+uHH54nT0uSitWnD1x2GUw9da4/9RSceWahIUmdqUUC8ULpuHK1T0gpfQisCvyNnDjsDFxYg1jqqa2HYcZOrredH1X/UKQuSClP1vvss1wfMiTPfZAk9Q6DB7fflfqYY+CNNwoLR+pMLRKIh8lJwMYRUXV7KaXRwJrAg6XnL1eDWOrpldKxszkObRvldTZHQirWTTfBH/5Qrl9yCQwYUFw8kqRvOvDAPDcN8ly13XbLHwBJvUgtEoi7S8c5gY2m5IkppTHAesA99P4hTPeXjmt3TJQiYnryKlOfA4/3dGDSZH30UR5f22aPPcpjbSVJvUf//vkDnj6ltxp//jNcdVWxMUkddDuBSCk9BTxE3pF5my48/0tgA+DW7sZSCxHRPyKGlPZ9+J+U0uvAvcC8wF4dnnY8eaO8q0tJkdS7HHIIjCxNV5prrvarfUiSepelloL99y/XDzgA3nuvsHCkjvpN/pbJSymt0s3njwU2rkUsExMRGwIblqpty84uFxFXlMofpJQOLpXnAl4C/kVOFirtSd5t++yIWKN03zLkPSJeBY5E6m3+8pc8Ma/NeefBjJ1N5ZEk9QonnAC33gojRsDHH+eE4vrri45KAmozhKkRDAW2Kz3WKZ2br+JcVclLqRdiKeAKcuJwEDA/cBawbGlyuNR7tI2fbbPxxrDBBsXFI0mqzsCBcNFF5foNN8CddxYXj1ShJRKIlNJxKaWYxGPeintHdDzXoa23Uko7pJS+lVKaKqX0nZTS/imlj3vq+5Gqdvzx8PrruTzTTHDOOYWGI0maAmuvDdtUjA7fYw/49NPi4pFKWiKBkFrS00/DqaeW67/+NQwa1Pn9kqTe5/TTYbbZcvmtt+DnPy82HgkTCKk5jR+fhy6NH5/rq64KO+1UaEiSpC6Ybbb2G8qddx78/e+FhSOBCYTUnC68sPwfzIABeRxt9PaVkiVJE7XllrBOaQpnSvkDonHjio1JLc0EQmo2777bvov75z/Pu5tKkhpTRO55mHrqXH/66VyXCmICITWbAw+E0aNzefBgOOywYuORJHXf/PPDUUeV60cdBf/5T3HxqKWZQEjN5N5781J/bS64IA9hkiQ1vkMOgYUXzuXPPoP99is2HrWsXpFARMQ8pcdMRcciNawvvoA99yzXt94aVl+9uHgkSbU11VT5g6E2t9zi3hAqRK9IIIARwJvAfyPiooiYt9hwpAY0bFj7PR8ql3CVJDWHVVaB7bcv1/feGz7/vLBw1Jp6SwIBEMBUwM7AKxFxaUTMX3BMUmN4+WU4+eRy/eSTYc45i4tHklQ/v/oVzDJLLo8YAb/4RaHhqPX0lgTir8CDwBPAWKA/sAPwYpFBSQ0hpbw76dixub7ssrDLLsXGJEmqn9lnz0lEm1NPhRdeKC4etZxekUCklFZNKa2WUloWmAlYA/gF8GihgUmN4Jpr4IEHcrlv37wHRJ9e8actSaqXHXaAFVfM5XHjYPfdYcKEYmNSy+h17zJSSl+mlO5PKR2bUlqt6HikXm3UKDjooHJ9//1h8cWLikaS1FP69MkfGPXrl+sPPwxXX11sTGoZvS6BkDQFjjkG3n8/l+eeG447rtBwJEk9aJFF2n+IdOih+YMlqc5MIKRG9cwz7XciPeMMmG66wsKRJBXg6KPzB0gAI0fmD5akOjOBkBpRSnnpvrbxrmuuCRttVGxMkqSeN3AgnH56uX7eefCPfxQXj1qCCYTUiK6+Gh55JJf794dzzoGIYmOSJBVj441hjTVyecKE/AFTSsXGpKZW0wQiIraMiNsi4rmIeCYiro+IDap87iIRMSEixtUyJqnpjBoFhxxSrh94IAwZUlg4kqSCRcC55+YPlCBPqL7mmmJjUlOrSQIRETNExP3A1cBPgO8BiwKbArdGxOMRsWC1zdUiJqlpHXtsHucKedzrUUcVG48kqXhDhsABB5TrhxwCn3xSXDxqarXqgbgWWIX85j+Aj4BPK+o/BJ6KiJ/W6OtJrenZZ/OnTG1OP92J05Kk7OijYa65cvm99/IHTlIddDuBiIh1gPWBRN74bbGU0uwppZmAJYDbyEnEQODGiNihu19TakkpwV57lSdOr7FGHvcqSRLkD5ROO61cP/fc/MGTVGO16IHYtnR8DVgrpfR824WU0jMppY2ALYExQF/gkojYpwZfV2ot11yTx7VC3jjIidOSpI423RRWXz2Xx4/PHzw5oVo1VosEYhly78OZKaUvJnZDSukGYAXgP+TeiDMj4ogafG2pNYwe/c2J0wsvXFw8kqTeqW1CdeUO1dddV2xMajq1SCAGlY5PTuqmlNKzwErA6+Qk4sSIOKkGX19qfieemMezQh7fevTRxcYjSeq9Fl4Y9t+/XD/0UPjss8LCUfOpRQJRSnEnv3pSSmkEsDLwYun+wyPijBrEIDWv116DM88s13/1KydOS5Im7eijYc45c/mdd+Dkk4uNR02lFglEaT1JvlPNzSmld8krNj1DTiL2jYiLcPlWaeIOPBDGjs3lFVaALbYoNh5JUu83wwztk4ZTT4U33iguHjWVWiQQL5SOK1f7hJTSh8CqwN/IicPOwIU1iEVqLvfcA3/4Qy5HwFlnOXFaklSdbbeFH/4wl7/6qv1cOqkbapFAPExOAjaOiKrbSymNBtYEHiw9f7kaxCI1j7Fj249h3XFHWHLJwsKRJDWYPn3g7LPL9VtvhfvuKy4eNY1aJBB3l45zAhtNyRNTSmOA9YB7cAiT1N6558Irr+TyDDPASa45IEmaQssuC9tsU67vtx+MG1dcPGoK3U4gUkpPAQ8BbwDbTOb2iT3/S2AD4NbuxiI1jZEj4bjjyvVjjilPhpMkaUqcfDIMHJjLzz8PF11UbDxqeLXogSCltEpKacGU0k+6+PyxKaWNU0p9Ukp9axGT1NCOOirv/QAweDDs496LkqQu+n//D448slw/+mj48MPi4lHDq0kCIamGnnoKLrmkXD/jDJhqquLikSQ1vgMOgPnmy+WPP4Zjjy02HjU0EwipN0kpj09NKdfXWw9+9KNiY5IkNb6pp4bTTivXL7gAnnuuuHjU0EwgpN7kppvg4YdzuV+/3PsgSVItbLABrLlmLk+YkHsl2j6wkqaACYTUW3z5JRx2WLm+zz6w0ELFxSNJai4RcOaZ0Lc03fQvf4G77io0JDWmft15ckT09JaGZ6aUzp78bVIDOvtsGDEil2edNa+8JElSLS2yCOy6ax7CBHDwwbD22tC/f7FxqaF0K4EA5q1FEFNgph7+elLPGDmy/T4Pxx0HM81UVDSSpGZ23HFw7bV5tb+XX4bf/Ab22qvoqNRAuptAHF+TKKr3QA9/PalnHHdcednWhRaC3XYrNBxJUhObY468rGvbsNljj4WttvKDK1WtWwlESqmnEwip+bzwQvtNfU491a5kSVJ97btvHsY0YkTeE+LEE/P/P1IVnEQtFe3gg/NqGJBXx1h//WLjkSQ1v6mnhlNOKdfPPhtef724eNRQTCCkIt1zT35AXh3jtNPyUZKkettkE1h++VweO7b9SoDSJLRMAhERc0fEZRHxTkR8FREjIuLMiJh5CttZMSJ+V3r+lxHx74i4KyLWrVfsalLjxuXehzY77QSLLVZcPJKk1hIBp59ert9yCzz0UHHxqGHUJYGIiCMiYt2IGFSP9qdURMwPDAd2AJ4AzgDeAPYDHouIWatsZw/gIWCN0vEM4EFgFeDuiDiy9tGraV16aZ7/ADDddPCLXxQbjySp9SyzDGy5Zbl+4IHlYbVSJ+rVA3EScCfwn4h4NyLujohfRsSmEbHgxJ4QEdtHxL0R8aM6xHM+MAewb0ppw5TS4Sml1ckJwEKleCcpIvoDw4AvgSVTStuklI5IKW0DLAV8BRwZEQPqEL+azejRcPTR5foRR8CgXpFvS5JazbBheU4EwJNPwnXXFRuPer16JRAJiNJjTmBt4DDgeuDliBgdEQ9HxDkRsVNELAssAKwJHN1Zo11R6n1YGxgBnNfh8rHAGGCbiBg4maZmAWYEXk0pvVJ5IaX0EvAqMA0wXQ3CVrM7+WR4//1c/va34YADio1HktS65pkn9zy0OeII+OKL4uJRr1evBGJ6YAVgb+Ay4BlgLOWkYjpgeWBP4DfAI8ARped+v8axrFY63ptSatcnl1L6tPS1pwWWnUw7I4H3gcEde1EiYjCwIPBMSunDmkSt5vX223DGGeX6sGEwzTTFxSNJ0uGH5/0hIP8/dfbZxcajXq27G8lNVErpc+Cx0gOAiOgHLAIsAfwAWKZU7tvh6U/XOJyFSsdXO7n+GrmHYjDwl84aSSmliNgLuAYYHhG3Ae8AcwE/BV4ANq8moIgY3smlIdU8Xw3umGPgyy9zeYklYIstio1HkqTpp8+bmu65Z64PGwY77wyzVjVNVC2mx1ZhSimNSyn9I6V0eUpp35TSMsDcwGnAeOBr8vClDWv8pWcsHT/p5Hrb+Zkm11BK6SZgdWAUsC1wOLANeRjU5eSJ2VLnnnsOrryyXP/1r6FPyyyGJknqzXbeGQYPzuVPPoGTJjtFVC2q0HcuKaX3UkqHAFsBUwHrAKOLjGlSImJr4M/kFZgWJg99Wpjcc3EucEM17aSUlpzYA3i5TqGrtzj88PLqFuutB6uvXmw8kiS16d8/z9Frc+658OabxcWjXqtXfPSZUroRuI08b2L/Gjff1sMwYyfX286PmlQjpXkOl5GHKm2TUno5pfRFSullci/EcGCTiFi1uwGrSd13H9x1Vy5HtN8BVJKk3mDDDdtvLnekK9Trm3pFAlFyC3mC9dY1brdtxaTBnVxvmxDd2RyJNmsD/YEHJzIZewLw11J1ya4EqSY3YQIcemi5vv32sOiihYUjSdJEReThtW2uvz4v7SpV6E0JxDul4/w1bvf+0nHtiGj3/UZE22pRnwOPT6adtv0dZu/ketv5r7sSpJrcb38Lw0tz56eeGk44odh4JEnqzPLLw89+Vq4fcgikVFw86nXqtRP1oh3frFdhztLxy1rGklJ6HbgXmBfYq8Pl44GBwNUppTFtJyNiSER0XBGpbW/3jSNiscoLETEU2Ji8/8V9NQtezeGrr+DnPy/XDzgA5p67uHgkSZqcYcOgb2mhzAcegLvvLjQc9S716oH4B/BZRDwRERdFxO4RsUxETGqx+7Z91OvxBnxP8j4OZ0fE7RExLCLuAw4gD13qOMDvpdLjf1JKT5BXWpoG+HtE3BARp0TEb4G/AVMDZ6WUXqhD/Gpk558PI0bk8qyzwmGHFRqOJEmTNXgw7LZbuX7ooTB+fHHxqFepyz4QJVMDS9F+TsCEiHiVvNfDM+Q379MCmwD/B7xHeUO5mkkpvR4RSwEnAOsCPwLeBc4Cjk8pfVxlUzuR5zpsT14xanryqlEPAxenlKpahUkt5OOP4Re/KNePOQZm7Gw+vyRJvcgxx8BVV8Fnn8ELL+RlyHfcseio1AvUK4HYAhha8WgbntSXvOzpkNI9lcaTJ1IvERF9U0qv1TKglNJbwA5V3hudnE/AFaWHNHknn5yTCID55oPddy82HkmSqjXnnLnn4Zhjcv3oo2HzzWHaaYuNS4WryxCmlNJvU0pHpJTWSyl9C/gWsB65d+G35J6HRF51qe3RF9ijdP3liPgsIh6PiN9ExF4RsVI9YpXq5j//gbPPLtd/+UuYaqri4pEkaUodeCAMGpTL77yT94ZQy6vnEKb/SSm9B/yx9ACgNB9iMdr3VCxKHtJE6bg08MO2ZnoqXqkmTjgBviytCbDkkrDJJsXGI0nSlBo4EI49FvbYI9eHDYNddoGZZy42LhWqsGVcS5uw/S2ldFFKaY+U0nLkOQULk4c3nUJOOEZS7qWQGsOrr8Kll5brw4ZBn960arIkSVXaaSeYv7TK/qhR7feJUEvqVe9oUvZKJ0OgflR0fFLVjj66vFrF6qvDmmsWG48kSV3Vvz+ceGK5fuaZ8O67hYWj4vWqBKIzKaX3Ukp/nPydUi8wfDjceGO5PmxY3tlTkqRGtemmMHRoLn/xRfsVBtVyupVARMSOEdG3VsFMpP0FI2LVerUv1UXlpnE/+xksvXRxsUiSVAt9+uQPxNpcfDH885/FxaNCdbcH4hLyikk71DKRKCUOVwEvACvXql2p7u67D+69N5f79Gnf5StJUiNbZx1YZZVcHjcuD9dVS+puAvECMD85kXgnIs6OiGW60lBEzBQRu0TEA+RdoLcmr7z0cjdjlHpGSnBExT6I228PCy9cWDiSJNVURPteiBtugKefLi4eFaa7y6IOJe/dcBQwB7AXsFdEvAP8DXgCeIq8w/RHwCjyDtWzADMDg8nLtC4N/ADoT3m1pTuAQ1NKr3YzRqln3H47PPFELg8YkJe9kySpmSy3HGywAfzud7n+85/D3XcXG5N6XLcSiJTSeODciLgM2B3YG5gXmAv4aelRjbakYRxwK/DrlNLw7sQm9ahx4+DII8v1vfaCeeYpLh5JkurlpJPgjjtyz/s998ADD8CqqxYdlXpQTVZhSil9nlI6HVgAWBe4HPgX7Xea7uwxHngYOBD4dkppc5MHNZyrr4aXXsrl6advP5RJkqRmssgisO225foRR+RkQi2jpjs7p5QmAPeWHkTEXMDywNzA7MCs5HkNo8gJxgvAUymlz2oZh9SjvvoKjjuuXD/kEJhttsLCkSSp7o47Dq6/Hr7+Gh5/PPdIbLBB0VGph9Q0gegopfQf4KZ6fg2pcBdfDP/+dy7PPjsccECx8UiSVG/zzgt77AFnnZXrxxwD//d/eQVCNT1fZak7Pv88jwVt8/Ofw3TTFRePJEk95YgjYNppc/nZZ+EmPzNuFSYQUnecdx7897+5PNdcsPvuxcYjSVJPmXNO2Hffcv3YY/OiImp6JhBSV40eDaecUq4fdRRMPXVx8UiS1NMOOQRmmCGXX3kFrr222HjUI+o6BwIgIoK8X8TiwGzANJSXbZ2olNIJ9Y5L6razzoIPP8zl734Xdtyx2HgkSepps8wCBx1U3vvo+ONhiy1gqqmKjUt1VdcEIiK2A44FvjOFTzWBUO/20Udw6qnl+rHH+o+lJKk17b9//lDto4/gzTfhsssc0tvk6jaEKSJOAi4jbyw3ub0gmEhd6r1OPTUPYQJYaCHYaqti45EkqSgzzACHHVau/+IX8MUXxcWjuqtLAhERywBtO2n9iTyEaYlSPQF9yftCrAfcQU4aHga+lVJyXoZ6t5Ejy8vWAZxwAvSr+2hASZJ6r733zpOqAd55By66qNh4VFf1erO+R+n4L2D9lNKzwNi2iyn7MKX0x5TShsBewIrAPRHhOBD1biefnJdvBVhsMdh442LjkSSpaNNOC0ceWa4PGwafuU9ws6pXArE8uafh7JTSZNfzSildANwCLAbsWaeYpO57+204//xy/Re/cNMcSZIAdt0Vvv3tXB45Es45p9h4VDf1eufzrdLxhYpzE9oKEdF/Is+5mjyUabM6xSR130knwVdf5fLSS+ddNyVJEgwYAEcfXa7/6lcwalRh4ah+6pVAtCUIIyvOVfZjzT6R57xdOi5Ql4ik7hoxAi65pFw/8UQI5/xLkvQ/228P88+fy6NGwRlnFBmN6qReCcT7peMMFefeA8aXygtP5DltvRbT1ykmqXtOOqm8w+ZKK8GaaxYbjyRJvU3//nDcceX6mWfCxx8XFY3qpF4JRNvQpSFtJ1JKX1ecn9gwpW1Kx3fqFJPUdW++CVdcUa6fcIK9D5IkTcwWW+QlziEveW4vRNOpVwLxEHk+w2odzv+2dH7HiDg+IhaJiKUj4nxgU/LE67vrFJPUdSeeWO59WHXV/JAkSd/Uty8cc0y5fuaZeZM5NY16JRC3l44/jojKYUxnASNKX/co4FngMWC30vWPgWF1iknqmtdfhyuvLNcru2YlSdI3bbYZDCkNRPn0Uzj99GLjUU3VJYFIKb1A7n34KdCv4vznpfOP8M3dqJ8H1kgpvf2NBqUinXQSjC9N31ltNVhllWLjkSSpt+vYC3H22fDhh8XFo5qq2wL2KaUHU0p/SSl91OH8v1JKK5EnUm8MbA4smVJaLKX0j3rFI3XJP/8JV11Vrtv7IElSdTbdFBYurZtjL0RTKWwHrJTSKymlW1NKN6aUni4qDmmSTjyx3Puw+uqw8srFxiNJUqPo2xeOPbZcP/ts+OCD4uJRzdQlgYiIlUuPaabgOVO3Pa8eMUlT7LXX4Oqry/Xjjy8uFkmSGtEmm8Aii+TyZ5/BaacVG49qol49EA8A9wHfnYLnzFXxPKl4v/gFTChtoL7mmrDiisXGI0lSo+nTp30vxDnnwPvvd36/GkI9hzB1dZF8F9dX8V59Fa69tlx37oMkSV2z0Ubw/e/n8pgx9kI0gcLmQExEWyzjJ3mX1BMqex/WWgtWWKHYeCRJalQdeyHOPddeiAbXmxKI75SOnxQahfTKK3DddeW6cx8kSeqen/0MFlssl8eMgV//uth41C39Jn/L5EXEPJ1c+lZEfDaZpw8A5gd+Qd6J+oVaxCR12S9/We59WGcdWG65YuORJKnRtfVCbLRRrp9/Phx6KMw2W7FxqUtqkkAAb07kXAD3dqGtqyZ/i1Qnr7/efu5DZZerJEnqug03hEUXheeey70QZ5yRN2tVw6nVEKaOu0p3dn5Sj6+AX6eULqtRTNKUGzasvO/DGmvY+yBJUq306QNHHVWun3MOfPxxcfGoy2rVA7FDh/rl5OFIRwP/mcTzEvAl8C7wdEppcsOdpPoZMQKuvLJcP+aYwkKRJKkpbbQRDBkCL7+cd6c+6yxXOmxANUkgUkpXVtYj4vJS8faU0ou1+BrdFRFzAycA6wKzkpOW24HjU0pTlP5GxBLAwcDKwOzAKOBl4NKUkkOwGtUpp8C4cbm88sruOi1JUq317Zt7IbbeOtfPOgsOPBBmmKHYuDRF6rUK02rA6kx8bkSPi4j5geHknpIngDOAN4D9gMciYtYpaGtv4O/A2sBfgNOA24C+wI9qG7l6zNtvw2UVo+fsfZAkqT422wwWWCCXR43Ky7qqodRqCFM7KaUH69FuN5wPzAHsm1I6p+1kRJwOHACcBOw+uUYiYm3gbOBPwMYppU87XO9fy6DVg371K/j661xebjlYffVi45EkqVn16wdHHgk7lEbAn3467LsvTDddsXGpanXfByIi+kTEGhFxVEScGxGXRcS3OtwzVURMGxED6vD15yf3FowAzutw+VhgDLBNRAysorlfA18AW3ZMHgBSSmO7F60K8e67cPHF5foxx0C4IbokSXWz1VYw77y5/OGHcMEFhYajKVPXBCIifgS8Rl7O9XhgD2A7YOYOt+4CfAqMrPKN/JRYrXS8N6U0ofJCKQl4BJgWWHZSjUTE94HFyN/LRxGxWkQcHBEHlRKkqn+WETF8Yg9gyJR8Y6qRU0+FL7/M5aWWyns/SJKk+unfH444olw/9VT4/PPi4tEUqVsCERE7AHcA3yUv0/oR7Zd4rXQJMBqYDtiwxqEsVDq+2sn110rHwZNp54el40jgAeA+co/EqcCfgWciYoGuh6lCvP8+XHhhuW7vgyRJPWO77eDb387lkSPhN78pNh5VrS4JRETMB1xIThgeBBZJKc3e2f0ppa+AW0v3r13jcGYsHT/p5Hrb+Zkm084cpeNOwLzA+qW2BwPXAIsCd0bEVJMLKKW05MQe5JWc1JNOP738icfQofDjHxcajiRJLWPAADjssHL9V78qjwhQr1avHoj9gf7kN8TrppRequI5D5WOP6hTTN3V9rPqC2yeUrorpTQ6pfQasC3wJDmZ2KioADWFPvyw/coPRx9t74MkST1pp53gW6Wpse++C5deWmw8qkq9Eog1yZvEnVnqXahG21Cib9c4lrYehhk7ud52ftRk2mm7/t+U0mOVF1JKCfhdqbr0FManopx9NnxW2rvw+9+HDTcsNBxJklrO1FPDoYeW66ecUl4VUb1WvRKItiTgqSl4Ttsu1LWeRP1K6djZHIcFS8fO5kh0bGdUJ9fbNqObprqwVKjRo3MC0ebII6FP3RclkyRJHe26K8xRGin+1ltwzTXFxqPJqtc7prZxIFNPwXPaVmYaXeNY7i8d1+64UlJETA+sAHwOPD6Zdh4nL/k6bycrRX2/dOwVm+dpMi68MG9eA3kzm002KTQcSZJa1rTTwgEHlOsnnwzjxxcXjyarXgnEu6XjfFPwnOVKx3/VMpCU0uvkpVfnBfbqcPl4co/H1SmlMW0nI2JIRLRbUjWl9DlwKTkpOjGiPFg+IhYFtgfGATfXMn7VwRdf5MnTbQ4/HPr2LS4eSZJa3R57wIylUeWvvQa33FJsPJqkeiUQfyX3QmxRzc0RMQ2wG3nexAN1iGdP8vKrZ0fE7RExLCLuI+9C/SpwZIf7Xyo9OjoaeIY8SfyxiDgtIq4B/kZOLA4uJSzqzS6/HN57L5fnnhu22abYeCRJanUzzgj77FOu//KXkFJx8WiS6pVAXFY6rhMR/zepGyNiWuAGYB5gAnDxpO7vitKb+qWAK4BlgIOA+YGzgGVTSh9W2c5oYCXgl8AswN7Aj4GHgXVSSmfVOnbV2NixeZm4NoccAlNNduVdSZJUb/vtl4czAfzjH3D33cXGo07VJYFIKT0CXE3uhbglIs6OiJUrbhkcEatHxDHkpV5/TO59ODelVJe9EFJKb6WUdkgpfSulNFVK6Tsppf1TSh9P5N5IKU10Pc+U0mcppSNTSoNTSgNSSjOllNZOKd1bj7hVY9ddB/8qjZKbbTbYeedi45EkSdlss+UJ1W1OOsleiF6qnsvO7AL8HuhHnntwPzlJALgF+BNwLDA3OdG4mdwzINXH+PEwbFi5fsAB5U86JElS8Q46CPr3z+VHH4W//rXYeDRRdUsgUkpfp5Q2ICcSr5OThIk93gJ2TyltllKaUK94JG67DV4prcY7wwyw557FxiNJktqbe27Yfvty/Ze/LCwUda5fvb9ASulS4NKI+B55HsIc5N2cPwCeBp4ubcQm1U9K7f8R2msvmGmmwsKRJEmdOPTQvCP1hAlw773w5JOw1FJFR6UKdU8g2qSUXgRe7KmvJ7Xzxz/C00/n8jTTwP77FxqOJEnqxAILwGabwfXX5/qwYS7r2su49a5aQ2Xvwy67lHe8lCRJvc8RR5TLt94KL/oZdG9SSAIREdNExA8i4ocRMaiIGNRCHnooPwD69YODDy42HkmSNGmLLgo/+Um5fvLJxcWib6hpAhERgyLixxGxUSk56Nvh+uwRcRXwMfAk8Djwn4j4e0SsXstYpP+pXHlp223h298uLhZJklSdyl6I666DESMKC0Xt1SSBiIipI+IK4G3gd8CN5OTgnxHx49I9M5KXct0KmIr2KzEtCfwxIjatRTzS/1RuRBMBhx1WbDySJKk6yy4Lq5c+Xx4/Hk47rdh49D+16oG4Bdim1F5lYvAd4KaIGAqcAXyvdP4fwG9LzxtRaqMv8JuIcHC6aqdy1+mNNoLBg4uLRZIkTZnKD/4uvRTef7+4WPQ/3U4gSj0M65WqHwCnAXsDpwIjyb0NBwObAp8B66SUfpBS2iKltElKaT5gn9Lzpwd27G5MEgBvvgm//W25bu+DJEmNZa214Ac/yOUvvoBzzy02HgG16YHYunQcASyWUjokpXR+SulQYHHgTWALYBpgWErpTx0bSCmdR+6RCGDtGsQk5a7O8eNzefXVXUNakqRG03H48TnnwGefFRePgNokEEsBCTgrpfTfygsppfeAs8iJAeQhS525uXRcuAYxqdW9/z5cdlm5bu+DJEmNaaONYL75cvnjj+GSS4qNRzVJINqWYX2yk+vDK8ojJtHOm6XjzN0NSOKcc3JXJ+Suz7XWKjYeSZLUNR2XYD/9dBg7trh4VJMEYtrS8ZNOrv/vfErp60m081Xp2L8GMamVffZZ+zGShx2Wu0AlSVJj2n778iawb71V3qVahajlPhCphm1JXXfxxbmLE3KX50YbFRuPJEnqnmmmgf32K9dPOQUmTCgunhZXyE7UUt18/XXu2mxz8MG561OSJDW2PfaA6abL5RdfhDvvLDaeFmYCoeZy/fXw9tu5PMccuctTkiQ1vplnht12K9dPOaW4WFpcLT+a3TMiRk7k/P82houIYybxfDeQU/dMmNB+47j99stdnpIkqTkccACcfXaeRP3II/mxwgpFR9VyaplA7DGJa23zI46t4deT2rvzztylCbmLc49J/UpKkqSGM9dcsPXWcPnluX7KKXDHHcXG1IJqNYQpavSQuu7kk8vl3XbLXZ2SJKm5HHJIufz738MLLxQXS4uqRQ/EajVoQ+qeRx/ND4D+/XMXpyRJaj4LLwwbbgi3357rp53WfvNY1V23E4iU0oO1CETqllNPLZe32ip3cUqSpOZ0yCHlBOKaa+DEE+H//b9CQ2olrsKkxvfaa+V/RKD9bpWSJKn5LL98fkCeUH3OOcXG02JMINT4zjgDUmme/nrrwSKLFBuPJEmqv8oPDC+8ED79tLhYWowJhBrb+++XV2KA9hOrJElS8/rJT2DBBXN51Ci49NJCw2klJhBqbOefD19+mctLLAGrrlpoOJIkqYf07QsHHliun3EGjBtXXDwtxARCjeuLL+Dcc8v1gw+GcDVgSZJaxnbbwWyz5fK//w033VRsPC3CBEKN66qr4IMPcnmeeWCTTYqNR5Ik9axppoG99y7XTz21PC9SdWMCocY0fnxe97nNAQdAv1purC5JkhrCnnvC1FPn8lNPwQMPFBpOKzCBUGP6/e/z8q0AM80EO+1UaDiSJKkgs88OO+xQrv/618XF0iJMINSYKjeO2313mH764mKRJEnFOuCA8jzIu++G558vNp4mZwKhxvPYY/DII7ncvz/ss0+x8UiSpGItuCBsuGG5fvrphYXSCkwg1Hgqex+23tqt6yVJUvu9oK65Bt55p7hYmpwJhBrL66/DbbeV6wcdVFwskiSp91huOVh++VweOxbOOafYeJqYCYQay1lnlZdnW289WGSRYuORJEm9x8EHl8sXXQRjxhQXSxMzgVDj+PhjuOyycr1y90lJkqSf/ATmmy+XP/4Yrryy2HialAmEGsfFF5c/SVh0UVhjjWLjkSRJvUvfvrD//uX6mWfChAlFRdO0TCDUGDqOZaxcrk2SJKnNDjvAjDPm8muvwZ13FhtPEzKBUGO4+WZ4++1cnnNO2HLLYuORJEm903TTwa67lusu6VpzJhDq/VJq/8e/554wYEBx8UiSpN5tn33ycCaABx6Ap58uNJxm0zIJRETMHRGXRcQ7EfFVRIyIiDMjYuZutLlyRIyPiBQRJ9YyXlV45BF48slcHjAA9tij2HgkSVLv9u1vwyablOtnnFFcLE2oJRKIiJgfGA7sADwBnAG8AewHPBYRs3ahzemBK4HPaxiqJqay92HbbWH22YuLRZIkNYYDDiiXb7jBjeVqqCUSCOB8YA5g35TShimlw1NKq5MTiYWAk7rQ5lnAjMCw2oWpb3j9dbj99nK9cmUFSZKkziy9NKy4Yi6PHQvnnVdsPE2k6ROIUu/D2sAIoONvzrHAGGCbiBg4BW1uQO7N2Bcwna2ns88ubxy37rrwve8VG48kSWoclb0QF14InztwpBaaPoEAVisd700ptVsIOKX0KfAIMC2wbDWNRcQcwMXA7Smla7oSUEQMn9gDGNKV9prWqFFw6aXleuU/ApIkSZOzwQbw3e/m8kcfwVVXFRtPk2iFBGKh0vHVTq6/VjoOrrK9i8k/t927E5SqULlx3CKLwFprFRuPJElqLB03ljvjDDeWq4FWSCBKO4nwSSfX287PNLmGImJH4CfAniml97oaUEppyYk9gJe72mbTceM4SZJUCzvsADPMkMuvvgp3311sPE2gFRKImoiIeYEzgZtSSjcWG00LuPVWeOutXJ59dthqq2LjkSRJjWn66d1YrsZaIYFo62GYsZPrbedHTaady4AvgD1rEJMm58wzy+U994Sppy4sFEmS1OAqN5a77z547rli42lwrZBAvFI6djbHYcHSsbM5Em2WIC8F+35p47gUEQm4vHT9yNK527sVreCJJ+Dxx3O5f3/Y3ekmkiSpG+aZB37603L97LOLi6UJ9Cs6gB5wf+m4dkT0qVyJqbQZ3ArkzeAen0w7V5FXa+poQWBl4BnyZnXuld5dZ51VLm++OQwaVFwskiSpOey3H9x8cy5fcw0MGwazzVZsTA2q6ROIlNLrEXEveS+IvYCKmbkcDwwELkopjWk7GRFDSs99uaKdfSfWfkRsT04g7kwpHVXzb6DVvPMO3FgxxWS//YqLRZIkNY8VVoAlloCnnoIvv8yrPR5xRNFRNaRWGMIEed7CSODsiLg9IoZFxH3AAeShS0d2uP+l0kM97YILYNy4XF5hBVhyyWLjkSRJzSGi/QeT552XV33UFGuJBCKl9DqwFHAFsAxwEDA/cBawbErpw+Ki0/98+SVcdFG5bu+DJEmqpc02gznnzOX//Cev+qgp1hIJBEBK6a2U0g4ppW+llKZKKX0npbR/SunjidwbKaWqNh1IKV1Rut/hS911/fXw/vu5/O1vt5/sJEmS1F0DBrRfnKVy3qWq1jIJhHq5lNr/Ee+1F/Rr+ik6kiSpp+2+e17lEeCxx+Dvfy82ngZkAqHe4a9/hX/8I5enmQZ22aXYeCRJUnMaNCiv8tjGXogpZgKh3qHyj3ebbWCWWYqLRZIkNbfKeZY33gjvvltcLA3IBELFGzECfve7cn3fia6YK0mSVBtLLplXe4S8EtMFFxQbT4MxgVDxzj0XJpT291tzTVhkkWLjkSRJza+yF+LCC/NqkKqKCYSK9dlncMkl5bpLt0qSpJ7w05/mVR8hrwJ5ww3FxtNATCBUrKuvhk8+yeUFFoAf/ajYeCRJUmvo1y+v+tjmrLPyqpCaLBMIFSclOOeccn2ffaCPv5KSJKmH7LJLXv0R4Jln4JFHCg2nUfhuTcW57z546aVcnm462H77QsORJEktZpZZYOuty/XKDzbVKRMIFefcc8vl7baDGWYoLhZJktSa9t67XL71VvjPf4qLpUGYQKgY//oX3HFHuV75xytJktRTFlsMVl45l8eNg4suKjaeBmACoWJccEH7pVuHDCk2HkmS1LoqP8i86CL46qviYmkAJhDqeV98ARdfXK7vs09xsUiSJG24Icw1Vy6PHAk331xoOL2dCYR63g03wEcf5fK888L66xcajiRJanH9+8Puu5frlfM09Q0mEOpZHZdu3XNP6Nu3uHgkSZIAdt0Vppoqlx9/HJ58sth4ejETCPWsxx6Dp5/O5amnhh13LDYeSZIkgDnmgE03LdftheiUCYR6VmXvw1ZbwayzFheLJElSpcp5mTfcAO+/X1wsvZgJhHrOu++2n5Tk0q2SJKk3WXrp/IC8EtMllxQbTy9lAqGec9FFeX1lgBVXhKFDCw1HkiTpGyo/4LzggvJ7F/2PCYR6xtdft9+YxaVbJUlSb7TppjD77Ln81lvtN74VYAKhnnLLLfDf/+by//t/8NOfFhuPJEnSxAwYkFdkalM5f1OACYR6SuVKBrvvntdbliRJ6o123728zPwDD8DzzxcaTm9jAqH6e+YZePTRXO7fH3bZpdBwJEmSJmnuuduPlrjgguJi6YVMIFR/lX90G28MgwYVF4skSVI19tqrXL7qKvj00+Ji6WVMIFRfn3wC11xTru+5Z3GxSJIkVWuVVWDhhXP5s8/av59pcSYQqq+rroLPP8/lRReFFVYoNh5JkqRqRLT/4PP88yGl4uLpRUwgVD8p5T+2Nnvumf8YJUmSGsE228DAgbn8/PPw8MPFxtNLmECofu6/H15+OZennx622qrYeCRJkqbEjDPC1luX65UfjLYwEwjVT+Uf2bbb5iRCkiSpkeyxR7lcua9VCzOBUH385z9w++3leuUfnyRJUqNYfPHyHM6xY+HSS4uNpxcwgVB9XHwxjB+fy6usAossUmw8kiRJXVU5mfqii2DcuOJi6QVMIFR7Y8fCb35TrleuoyxJktRoNtoI5pgjl996C+68s9h4CmYCodr73e/g3XdzedAg2HDDQsORJEnqlgEDYOedy/Xzzisull7ABEK1V/lHteuu0L9/cbFIkiTVwq67Qp/SW+c//QlefbXYeApkAqHaevFFeOCBXO7bF3bZpdBwJEmSauI734Ef/7hcv/DC4mIpmAmEauuCC8rlDTaAuecuLhZJkqRaqpxMffnl8PnnxcVSIBMI1c5nn8FVV5XrlX9kkiRJjW6ttWD++XN51Ci44YZCwymKCYRq54YbYPToXB48GFZfvdh4JEmSaqlPn/Z7W110UXGxFMgEQrVTORZw990horhYJEmS6mG77fKqTABPPAFPPVVsPAVomQQiIuaOiMsi4p2I+CoiRkTEmRExc5XPHxgRW0XEdRHxckSMiYhPI+LJiDgoIqaq9/fQqz35JAwfnssDBuQ/LkmSpGYz22ywySblegv2QrREAhER8wPDgR2AJ4AzgDeA/YDHImLWKppZCbgGWAd4HjgHuA6YCzgVuD8ipq599A2isvdhs81gllmKi0WSJKmedt+9XL722vIQ7hbREgkEcD4wB7BvSmnDlNLhKaXVyYnEQsBJVbTxX2Br4FsppY1LbewGDAaeApYHWnPL5VGj4Prry/XKPypJkqRms/zy8P3v5/KYMTmJaCFNn0CUeh/WBkYAHbcNPBYYA2wTEQMn1U5K6ZmU0rUppa87nP8UOK1UXbUWMTeca64pL2O26KKw7LLFxiNJklRPEbDbbuX6hRdCSsXF08OaPoEAVisd700pTai8UHrz/wgwLdCdd71jS8dx3WijMaXUfuyfk6clSVIr2GYbmHbaXH72Wfjb34qNpwe1QgKxUOnY2X7jr5WOg7vxNXYsHe+p5uaIGD6xBzCkGzEU49FH4fnnc3ngQNh662LjkSRJ6gkzzghbbFGut9DO1K2QQMxYOn7SyfW28zN1pfGI2BtYF3gGuKwrbTS0yj+WLbeEGWYoLhZJkqSeVDnv87e/hY8+Ki6WHtQKCUTdRMTPgDPJE6w3SimNnfQzspTSkhN7AC/XMdza++ADuOmmcr1yLKAkSVKzW2opWHLJXP7yS7jqqmLj6SGtkEC09TDM2Mn1tvOjpqTRiNgQuAEYCayaUnqjK8E1tCuvhK++yuXKPyBJkqRW0YKTqVshgXildOxsjsOCpWNncyS+ISI2AW4C3gNWSSm9MpmnNJ+JTZ6WJElqNVtsAdNPn8uvvAJ//Wux8fSAVkgg7i8d146Idt9vREwPrAB8DjxeTWMRsRVwPfAOOXl4bTJPaU733w+vlb71GWaAzTcvNh5JkqQiTDddXpGpTQtMpm76BCKl9DpwLzAv39zo7XhgIHB1SmlM28mIGBIR31gRKSK2A64C/g2s3JLDltpU/nFsu21egUmSJKkVVQ5juuUWGDmyuFh6QL+iA+ghewKPAmdHxBrAS8Ay5D0iXgWO7HD/S6Xj/zY0iIjVyKss9SH3auwQ39zvYFRK6cxaB9/r/Pe/cNtt5bqTpyVJUitbbLG8O/Wjj8LYsXDZZXD44UVHVTctkUCklF6PiKWAE8hLrv4IeBc4Czg+pfRxFc18h3KPzY6d3PMv8qpMze2KK2Bcac+8FVYob+UuSZLUqnbbLScQAJdcAoceCn2ac7BPc35XE5FSeiultENK6VsppalSSt9JKe0/seQhpRQppehw7oq285N4zNtj31BRJkyAiy8u1+19kCRJgk02gZlmyuXXX8/zRZtUyyQQqpH774c3SlM/ZpoJNt640HAkSZJ6hWmmaT+ZuvID1yZjAqEp85vflMvbbJP/WCRJkgS77FIu33orvP9+cbHUkQmEqvf+++0nT1f+kUiSJLW6RReF5ZbL5bFj86a7TcgEQtW78sr8xwCw7LL5j0SSJElllR+wXnxxU+5MbQKh6qTUfvjSrrsWF4skSVJvtemmeZNdgFdfbcqdqU0gVJ0HH2y/8/SmmxYbjyRJUm80cCBsvXW5XvkBbJMwgVB1KlcS2Gord56WJEnqTOUwpptvhg8/LC6WOjCB0OR9+GH+5W/j8CVJkqTODR0KP/xhLn/9NVx9daHh1JoJhCbvqqvyLz/kP4ahQwsNR5Ikqder/MD1N79pqsnUJhCatJTaD19y6VZJkqTJ23xzmG66XH7pJXjkkWLjqSETCE3aI4/kX3rIfwSbb15sPJIkSY1guulgyy3L9SaaTG0CoUmr7H3YckuYfvriYpEkSWoklcOYbroJPv64uFhqyARCnfv4Y7jxxnLd4UuSJEnVW3JJ+MEPcvnLL+Gaa4qNp0ZMINS5a6/Nv+yQf/mXXLLYeCRJkhpNE06mNoHQxHWcPL3zzhBRXDySJEmNaMstYdppc/n55+Hvfy82nhowgdDEDR8Ozz6by9NM034SkCRJkqozwwyw6abl+qWXFhdLjZhAaOIqf7k33hhmmqmwUCRJkhraTjuVy9dfD2PGFBdLDZhA6Js+/xyuu65c33nn4mKRJElqdCusAAstlMuffppXZGpgJhD6pptvhtGjc3nBBWGllYqNR5IkqZFFtP9A9pJLioulBkwg9E2Vv9Q77eTkaUmSpO7adlvo1y+XH3kEXn652Hi6wQRC7b36Kjz0UC737QvbbVdsPJIkSc1gjjngJz8p1xt4MrUJhNqr/GX+8Y9h0KDiYpEkSWomlZOpr7oKvv66uFi6wQRCZWPHwpVXlutOnpYkSaqdddaBuebK5ZEj4Q9/KDaeLjKBUNmdd8J77+Xyt74F665bbDySJEnNpG9f2GGHcr1BJ1ObQKis8pd4hx3KE30kSZJUGzvuWC7/8Y/w1lvFxdJFJhDK/vMfuPvucr3yl1uSJEm18d3vwppr5vKECXDFFYWG0xUmEMquuCL/EgOsthrMP3+h4UiSJDWtysnUl11Wfg/WIEwglH9pL7usXHfytCRJUv1suCHMMksujxgB991XZDRTzARC8MAD8MYbuTzTTPDTnxYZjSRJUnObemrYeutyvcH2hDCBUPtf2q23hmmmKS4WSZKkVlA5jOnWW+HDD4uLZQqZQLS6sWPzduptKn+ZJUmSVB+LLQY//GEujx/f/v1YL+c6na2uf3947TW46648lGno0KIjkiRJag2HHgqvvw7bbpv34GoQJhDKScQGG+SHJEmSesbGGxcdQZc4hEmSJElS1UwgJEmSJFXNBEKSJElS1UwgJEmSJFXNBEKSJElS1UwgJEmSJFXNBEKSJElS1VomgYiIuSPisoh4JyK+iogREXFmRMw8he3MUnreiFI775TanbtesUuSJEm9RUtsJBcR8wOPAnMAvwNeBpYG9gPWjYgVUkofVtHOrKV2BgP3ATcAQ4AdgPUjYrmU0hv1+S4kSZKk4rVKD8T55ORh35TShimlw1NKqwNnAAsBJ1XZzi/JycPpKaU1Su1sSE5E5ih9HUmSJKlpNX0CUep9WBsYAZzX4fKxwBhgm4gYOJl2pgO2Kd1/XIfL5wL/AtaJiPm6H7UkSZLUOzV9AgGsVjrem1KaUHkhpfQp8AgwLbDsZNpZFpgGeKT0vMp2JgB/7PD1JEmSpKbTCnMgFiodX+3k+mvkHorBwF+62Q6ldiYpIoZ3cmnI5J4rSZIkFakVeiBmLB0/6eR62/mZeqgdSZIkqWG1Qg9Er5NSWnJi50s9E0v0cDiSJElS1VqhB6KtZ2DGTq63nR/VQ+1IkiRJDasVeiBeKR07m5uwYOnY2dyGWrczKfO+9NJLLLnkRDsoJEmSpJp46aWXAObtynMjpVTTYHqb0jKu/yQv4zp/5UpMETE98C4QwBwppTGTaGc6YCQwAfhW5UpMEdEHeJ38Iszf1c3kIuJNYIZSrPXSNlH75Tp+DfUevt6txde7tfh6tx5f89ZS79d7XmB0Sum7U/rEpu+BSCm9HhH3klda2gs4p+Ly8cBA4KLK5CEihpSe+3JFO59FxNXAruR9IA6qaGdv8ovwx+7sRN2VF3BKta0A1dk8DDUXX+/W4uvdWny9W4+veWvpza930ycQJXsCjwJnR8QawEvAMuQ9G14Fjuxw/0ulY3Q4/3NgVeDAiBgKPAEsDGxA7p3Yqw6xS5IkSb1GK0yiJqX0OrAUcAU5cTgImB84C1g2pfRhle18CCwHnA0sUGpnGeByYMnS15EkSZKaVqv0QJBSegvYocp7O/Y8VF77CNiv9JAkSZJaSkv0QEiSJEmqDRMISZIkSVVr+mVcJUmSJNWOPRCSJEmSqmYCIUmSJKlqJhCSJEmSqmYCIUmSJKlqJhCSJEmSqmYCIUmSJKlqJhCSJEmSqmYC0eAiYu6IuCwi3omIryJiREScGREzT2E7s5SeN6LUzjuldueuV+yact19vSNiYERsFRHXRcTLETEmIj6NiCcj4qCImKre34OmTK3+xju0uXJEjI+IFBEn1jJedU8tX++IWKL0t/52qa33IuLBiNi2HrFrytXw//AVI+J3ped/GRH/joi7ImLdesWuKRMRG0fEORHxUESMLv37e00X26r5/wtTHIMbyTWuiJgfeBSYA/gd8DKwNLAa8AqwQkrpwyrambXUzmDgPuDvwBBgA2AksFxK6Y16fA+qXi1e79J/JncDHwH3A/8EZgZ+Agwqtb9GSunLOn0bmgK1+hvv0Ob0wLPAbMB0wEkppaNqGbe6ppavd0TsDZwFfAzcCfwHmAX4PvB2Smnzmn8DmiI1/D98D+B8YAxwG/A2MDfwM2Ba4KiU0kn1+B5UvYh4Blgc+Iz8Gg0Brk0pbT2F7dT8/4UuSSn5aNAH8EcgAft0OH966fyFVbZzUen+0zqc37d0/p6iv1cftXm9gaHAVsBUHc5PDwwvtXNQ0d+rj9q95hNp8zJyAvnzUhsnFv19+qjt6w2sDUwotTf9RK73L/p79VGzf9P7A6OAL4CFOlxbGPgS+BwYUPT32+oP8hv8BYEAVi29xtcU8XtTi4c9EA2qlIH+ExgBzJ9SmlBxbXrgXfIv6RwppTGTaGc6ci/DBOBbKaVPK671Ad4AvlP6GvZCFKRWr/dkvsaWwLXAH1JK/9ftoNUt9XjNI2ID4HZgG6AfcDn2QPQKtXy9I+IfwALAPKknPonUFKvh/+FzAv8Fnk0pLT6R688CiwKz+bvQe0TEquRRAFPUA9ET7wWq5RyIxrVa6Xhv5S8QQCkJeITcdbnsZNpZFpgGeKQyeSi10/YJVuXXUzFq9XpPytjScVw32lDt1PQ1j4g5gIuB21NKXRp3q7qqyesdEd8HFgPuBT6KiNUi4uDSHKc1Sh8MqXi1+vseCbwPDI6IBSsvRMRg8ifez5g8NI2eeC9QFf8haVwLlY6vdnL9tdJxcA+1o/rqiddpx9Lxnm60odqp9Wt+Mfnf/N27E5Tqplav9w9Lx5HAA+R5bb8GTgX+DDwTEQt0PUzVSE1e75SHkexF/tseHhFXRsSwiLiKPCz1BWCTGsSr3qHXvGfrV+8voLqZsXT8pJPrbedn6qF2VF91fZ1KEy7XBZ4hj5FX8Wr2mkfEjuSJ8pullN7rfmiqg1q93nOUjjuRJ06vDzwMzAkcA2wN3BkRi6aUvu5ytOqumv19p5Ruioh3gOuByhW23iMPU3T4cfPoNe/Z7IGQWlxE/Aw4kzyOdqOU0thJP0ONJCLmJb++N6WUbiw2GvWAtv/X+wKbp5TuSimNTim9Rn5z+ST508mNigpQtRURW5N7lx4iT5yetnT8C3AucENx0alZmUA0rrYsc8ZOrredH9VD7ai+6vI6RcSG5P9cRgKrOlG+V6nVa34ZeYWWPWsQk+qnVq932/X/ppQeq7xQGu7yu1J16SmMT7VVk9e7NM/hMvJQpW1SSi+nlL5IKb1MXixhOLBJadKuGl+vec9mAtG4XikdOxvn1jaZqrNxcrVuR/VV89cpIjYBbiJ3c6+SUnplMk9Rz6rVa74EeVjL+6WNi1JEJPLQBoAjS+du71a06q5a/5s+qpPrH5eO01QXluqkVq/32uSlXB+cyKTaCcBfS9UluxKkep1e857NORCN6/7Sce2I6DORpbxWIK/9/Phk2nmc/OnkChEx/USWcV27w9dTMWr1erc9ZyvgSvIY6dXseeiVavWaX0Ue0tDRgsDK5Hkvw4GnuxuwuqWW/6aPAeaNiIETWcrx+6XjmzWIWV1Xq9d7QOk4eyfX284736U51PS9QHfYA9GgUkqvk5fpm5e8AkOl44GBwNWV/3lExJCIGNKhnc+Aq0v3H9ehnb1L7f/RN5jFqtXrXTq/HflN5b+BlX1te6ca/o3vm1LaueODcg/EnaVz59Xtm9Fk1fD1/hy4FJgaODEiouL+RYHtyUs131z770LVquG/6Q+VjhtHxGKVFyJiKLAxeXOx+2oWvOouIvqXXu/5K8935fembjG6kVzjmsh25i8By5DXCX4VWL5y7efSsAVSStGhnVlL7Qwm/yPzBHkC1gbksfHLl35pVaBavN4RsRp5sl0f8rjZtybypUallM6sz3ehKVGrv/FO2t4eN5LrVWr4b/oMwIPknef/Rl4bfk7gZ+ShS/unlM6q87ejyajh630ZsAO5l+E24F/kN5gbAlMBZ6aUDqjvd6PJKc053LBUHQSsQ14hqy0J/CCldHDp3nnJvYT/SinN26GdKfq9qZtabWnto5gH8G3ym4B3yf94/Iu84srME7k3UZpHN5FrswBnlZ7/dam9y4C5i/4efdTu9SZ/+pgm8xhR9Pfpo3av+STabftdOLHo79FH7V9vYDrgJPIbiq/IcyLuBdYu+nv0UdvXm7zz8PbkfT8+JvcwfURehWnzor9HH/97nY6r9v9ecgLY6f/HU/J7U6+HPRCSJEmSquYcCEmSJElVM4GQJEmSVDUTCEmSJElVM4GQJEmSVDUTCEmSJElVM4GQJEmSVDUTCEmSJElVM4GQJEmSVDUTCEmSJElVM4GQJEmSVDUTCEmSJElVM4GQJEmSVDUTCEmSJElVM4GQJEmSVDUTCEmSJElVM4GQJDWUiNg8IlLpsfgk7hsYEeNL9x3ZkzFKUjMzgZAkNZqhpeNXwAuTuG9xyv/PPV3PgCSplZhASJIazdDS8fmU0rhJ3PeDivIzdYtGklqMCYQkqdEMLR0n16uwROk4MqX0Tv3CkaTWYgIhSWoYETEImLNUnVwC0dYD8UzdApKkFmQCIUlqJEMryp0mEBHRH1hkcvdJkqacCYQkqZEMLR0nAM9O4r5FgKlK5WfqGI8ktRwTCElSIxlaOr6aUhozifuWqCjbAyFJNWQCIUlqJENLx2rnP4wBXqtbNJLUgkwgJEkNISKmBRYsVZ+ZzO3LlI7PppQm1C0oSWpBJhCSpEaxGOX/t17t7KbSSk1tQ5gcviRJNWYCIUlqFEMrytNO4r6DgL6l8jP1CkaSWpUJhCSpUQytKG8ysRsiYlPggIpTL9QzIElqRf2KDkCSpCoNLR0nABtGxB3AdcB7wP8DflZ6jKXcA7F+RCyUUrq8h2OVpKYVKaWiY5AkaZIiog/wKXno0gXARsAcE7n1UeAe4ISKc39JKa1Z9yAlqUU4hEmS1AgGU5738ACwAnAz8BHwOfAccDiwGnA+8Ejp/N+BM3s2VElqbvZASJJ6vYjYHLi+VB2SUnqlyHgkqZXZAyFJagRDS8cvcGM4SSqUCYQkqREMLR2fd2M4SSqWCYQkqREMLR2fLTIISZIJhCSplyvtLD1nqfqPImORJJlASJJ6v6EVZXsgJKlgrsIkSZIkqWr2QEiSJEmqmgmEJEmSpKqZQEiSJEmqmgmEJEmSpKqZQEiSJEmqmgmEJEmSpKqZQEiSJEmqmgmEJEmSpKqZQEiSJEmqmgmEJEmSpKqZQEiSJEmqmgmEJEmSpKqZQEiSJEmqmgmEJEmSpKqZQEiSJEmq2v8H3pFZdbe6/9MAAAAASUVORK5CYII=", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": { "image/png": { "height": 284, "width": 392 }, "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "<Figure size 1440x360 with 8 Axes>" ] }, "metadata": { "image/png": { "height": 351, "width": 1424 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# The Beta conjugate prior for the Binomial distribution (starting parameter a=2, b=2)\n", "prior = Beta(a=2, b=2)\n", "plt.plot(mu_space, prior.pdf(mu_space), color=\"red\")\n", "plt.xlabel(\"$\\mu$\", fontsize=14)\n", "plt.ylabel(\"$\\mathrm{Beta}(\\mu|2,2)$\", fontsize=14)\n", "plt.title(prior.change_notation({\"x\": \"mu\"}).to_latex, fontsize=14)\n", "plt.show()\n", "\n", "# Apply a sequence of Bayesian inference steps, as more observations arrive in the form of a likelihood\n", "plt.figure(figsize=(20, 5))\n", "\n", "# Row 1\n", "plt.subplot(2, 4, 1)\n", "plt.tight_layout()\n", "likelihood = Binomial(n=1).pdf(1)\n", "plt.plot(mu_space, likelihood.pdf(mu=mu_space), color=\"blue\")\n", "plt.title(likelihood.to_latex, fontsize=18)\n", "\n", "plt.subplot(2, 4, 2)\n", "plt.tight_layout()\n", "posterior = prior.change_notation({\"x\": \"mu\"}) * likelihood\n", "plt.plot(mu_space, posterior.pdf(mu=mu_space), \"g\")\n", "plt.title(posterior.to_latex, fontsize=18)\n", "\n", "plt.subplot(2, 4, 3)\n", "plt.tight_layout()\n", "likelihood = Binomial(n=1).pdf(1)\n", "plt.plot(mu_space, likelihood.pdf(mu=mu_space), color=\"blue\")\n", "plt.title(likelihood.to_latex, fontsize=18)\n", "\n", "plt.subplot(2, 4, 4)\n", "plt.tight_layout()\n", "posterior = posterior * likelihood\n", "plt.plot(mu_space, posterior.pdf(mu=mu_space), \"g\")\n", "plt.title(posterior.to_latex, fontsize=18)\n", "\n", "# Row 2\n", "plt.subplot(2, 4, 5)\n", "plt.tight_layout()\n", "likelihood = Binomial(n=1).pdf(1)\n", "plt.plot(mu_space, likelihood.pdf(mu=mu_space), color=\"blue\")\n", "plt.title(likelihood.to_latex, fontsize=18)\n", "\n", "plt.subplot(2, 4, 6)\n", "plt.tight_layout()\n", "posterior = posterior * likelihood\n", "plt.plot(mu_space, posterior.pdf(mu=mu_space), \"g\")\n", "plt.title(posterior.to_latex, fontsize=18)\n", "\n", "plt.subplot(2, 4, 7)\n", "plt.tight_layout()\n", "likelihood = Binomial(n=1).pdf(0)\n", "plt.plot(mu_space, likelihood.pdf(mu=mu_space), color=\"blue\")\n", "plt.title(likelihood.to_latex, fontsize=18)\n", "\n", "plt.subplot(2, 4, 8)\n", "plt.tight_layout()\n", "posterior = posterior * likelihood\n", "plt.plot(mu_space, posterior.pdf(mu=mu_space), \"g\")\n", "plt.title(posterior.to_latex, fontsize=18)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Thus, the **sequential** approach to learning arises naturally when we adopt a Bayesian viewpoint. It is **independent** of the choice of prior and of the likelihood function and **depends only** on the assumption of i.i.d. data. Sequential methods make use of observations one at a time, or in small batches, and then discard them before the next observations are used. They can be used, for example, in real-time learning scenarios where a steady stream of data is arriving, and predictions must be made before all of the data is seen. Maximum likelihood methods can also be cast into a sequential framework.\n", "\n", "If our goal is to predict the outcome fo the next trial, then we must evaluate the predictive distribution of $x$ given the observed data $\\mathcal{D}$ given by,\n", "\n", "$$\n", "p(x=1|\\mathcal{D}) = \\frac{m + a}{m + a + l + b}\n", "$$\n", "\n", "which essentially represents the fraction of observations (actual and prior) that corresponds to $x=1$. Note that in the limit of an infinitely large data set $m,l \\to \\infty$, $p(x=1|\\mathcal{D})$ reduces to the maximum likelihood estimator $\\frac{m}{N}$. \n", "\n", "It is a very **general property** that the Bayesian and maximum likelihood results are identical in the limit of infinitely large data sets. For finite data set, the posterior mean for $\\mu$ always lies between the prior mean and the maximum likelihood estimate for $\\mu$, corresponding to the sample mean." ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "## 2.2 Multinomial Variables\n", "\n", "A binary variable is good for representing a coin toss, but generally we would like to have more states, such as the number rolled on a die. Such discrete random variables can take on one of $K$ possible mutually exclusive states of the form\n", "\n", "$$\n", "\\mathbf{x} = (0,0,1,0,0,0)^{\\text{T}}\n", "$$\n", "\n", "where each state $k$ is represented by the $k^{th}$ element being $1$ and all other elements being $0$. If we denote the probability of $x_k=1$ by the parameter $\\mu_k$, then the distribution over $\\mathbf{x}$ can be regarded as a generalization of the Bernoulli distribution, called the *categorical distribution*, and is given by\n", "\n", "$$\n", "p(\\mathbf{x}|\\boldsymbol\\mu) = \\prod_{k=1}^K \\mu_k^{x_k}\n", "$$\n", "\n", "where the parameters $\\mathbf{x} = (\\mu_1,\\dots\\mu_K)^{\\text{T}}$ must satisfy $\\mu_k \\geq 0$ and $\\sum_k \\mu_k = 1$ because they represent probabilities. Note that $\\mu_k^{x_k}$ becomes $1$ for every element except the $x_k=1$, and so the product picks the probability $\\mu_k$ for the state represented by $\\mathbf{x}$.\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<Figure size 1296x360 with 3 Axes>" ] }, "metadata": { "image/png": { "height": 319, "width": 1063 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(18, 5))\n", "\n", "# Lets roll 1000 fair 6-sided dice\n", "plt.subplot(1, 3, 1)\n", "fair_rolls_6 = Categorical(mu=np.ones(6) / 6).draw(1000)\n", "plt.bar(np.arange(1, 7), sum(fair_rolls_6), color=\"cadetblue\")\n", "plt.ylabel(\"Number of observed outcomes\", fontsize=14)\n", "plt.xticks(np.arange(6 + 1))\n", "plt.title(\"Fair 6-sided die\", fontsize=14)\n", "\n", "# then 1000 fair 20-sided dice\n", "plt.subplot(1, 3, 2)\n", "fair_rolls_20 = Categorical(mu=np.ones(20) / 20).draw(1000)\n", "plt.bar(np.arange(1, 21), sum(fair_rolls_20), color=\"seagreen\")\n", "plt.xticks(np.arange(20 + 1))\n", "plt.title(\"Fair 20-sided die\", fontsize=14)\n", "\n", "# finally 1000 biased 8-sided dice\n", "plt.subplot(1, 3, 3)\n", "biased_rolls_8 = Categorical(mu=np.array([3, 1, 1, 1, 1, 1, 1, 1], float) / 10).draw(1000)\n", "plt.bar(np.arange(1, 9), sum(biased_rolls_8), color=\"crimson\")\n", "plt.title(\"Biased 8-sided die\", fontsize=14)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is easily seen that the distribution is normalized\n", "\n", "$$\n", "\\begin{aligned}\n", "\\sum_{\\mathbf{x}} p(\\mathbf{x}|\\boldsymbol\\mu) &= \\sum_{\\mathbf{x}}\\prod_{k=1}^K \\mu_k^{x_k} \\\\\n", "&= \\prod_{k=1}^K \\mu_k^{x_k^1} + \\dots + \\prod_{k=1}^K \\mu_k^{x_k^K} \\\\\n", "&= \\sum_{k=1}^K \\mu_k = 1\n", "\\end{aligned}\n", "$$\n", "\n", "and that\n", "\n", "$$\n", "\\begin{aligned}\n", "\\mathbb{E}[\\mathbf{x}] &= \\mathbb{E}[\\mathbf{x}|\\boldsymbol\\mu] \\\\\n", "&= \\sum_\\mathbf{x} \\mathbf{x} p(\\mathbf{x}|\\boldsymbol\\mu) \\\\\n", "&= \\sum_\\mathbf{x} \\mathbf{x} \\prod_{k=1}^K \\mu_k^{x_k} \\\\\n", "&= \\mathbf{x}^1 \\prod_{k=1}^K \\mu_k^{x_k^1} + \\dots + \\mathbf{x}^K \\prod_{k=1}^K \\mu_k^{x_k^K} \\\\\n", "&= (\\mu_1,\\dots,\\mu_K)^\\text{T}\n", "\\end{aligned}\n", "$$\n", "\n", "Consider a data set $\\mathcal{D}$ of $N$ independent observations $\\mathbf{x}_1,\\dots,\\mathbf{x}_N$, the corresponding likelihood function is given by\n", "\n", "$$\n", "\\begin{aligned}\n", "p(\\mathcal{D}|\\boldsymbol\\mu) &= \\prod_{n=1}^N \\prod_{k=1}^K \\mu_k^{x_{nk}} \\\\\n", "&= \\prod_{k=1}^K \\mu_k^{(\\sum_{n=1}^N x_{nk})} \\\\\n", "&= \\prod_{k=1}^K \\mu_k^{m_k}\n", "\\end{aligned}\n", "$$\n", "\n", "Therefore, given some observed dice rolls, we can plot, for instance, how likely it is that the number one in the die that produced these observations is biased in a certain way" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.28571429 0.14285714 0.14285714 0.14285714 0.14285714 0.14285714]\n", "[0.5 0.1 0.1 0.1 0.1 0.1]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": { "image/png": { "height": 266, "width": 401 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "N = 100\n", "\n", "\n", "def likelihood(mu_1, data):\n", " mus = (np.ones(6) * (1 - mu_1)) / 5\n", " mus[0] = mu_1\n", " return Categorical(mu=mus).log_likelihood_iid(data)\n", "\n", "\n", "mu_space = np.linspace(0, 1, 100)\n", "\n", "nums = np.array([2, 1, 1, 1, 1, 1], float)\n", "print(nums / sum(nums))\n", "slightly_loaded_data = Categorical(mu=nums / sum(nums)).draw(N)\n", "plt.plot(mu_space, [likelihood(mu_1, slightly_loaded_data) for mu_1 in mu_space], label=\"Slightly loaded die\")\n", "\n", "nums = np.array([5, 1, 1, 1, 1, 1], float)\n", "print(nums / sum(nums))\n", "heavy_loaded_data = Categorical(mu=nums / sum(nums)).draw(N)\n", "plt.plot(mu_space, [likelihood(mu_1, heavy_loaded_data) for mu_1 in mu_space], label=\"Heavy loaded die\")\n", "\n", "plt.xlabel(\"$\\mu_1$\", fontsize=14)\n", "plt.ylabel(\"Logarithm of the likelihood\", fontsize=14)\n", "plt.legend(fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to maximize $\\ln p(\\mathcal{D}|\\boldsymbol\\mu)$, taking account of the constraint $c(\\boldsymbol\\mu)=\\sum_k \\mu_k - 1$, we use a Lagrange multiplier $\\lambda$ and maximizing\n", "\n", "$$\n", "L(\\boldsymbol\\mu,\\lambda) = \\ln p(\\mathcal{D}|\\boldsymbol\\mu) + \\lambda c(\\boldsymbol\\mu)\n", "$$\n", "\n", "By setting the gradient to zero, we obtain the maximum likelihood solution in the form\n", "\n", "$$\n", "\\mu_k = \\frac{m_k}{N}\n", "$$\n", "\n", "which is the fraction of the $N$ observations for which $x_k=1$. Thus, the maximum likelihood solution, similar to the Bernoulli distribution, is the *sample mean* on each dimension." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum likelihood of 𝝁 for the slightly loaded die is [0.32 0.13 0.14 0.12 0.13 0.16]\n", "Maximum likelihood of 𝝁 for the heavy loaded die is [0.46 0.11 0.11 0.12 0.09 0.11]\n" ] } ], "source": [ "print(\"Maximum likelihood of 𝝁 for the slightly loaded die is\", np.mean(slightly_loaded_data, axis=0))\n", "print(\"Maximum likelihood of 𝝁 for the heavy loaded die is\", np.mean(heavy_loaded_data, axis=0))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The joint distribution of the quantities $m_1,\\dots,m_K$, conditioned on the parameters $\\boldsymbol\\mu$ and the total number $N$ of observations, is known as the *multinomial* distribution. It would give us the number of $1, 2, 3, \\dots$ rolled in a sample dataset of size $N$, the same way the binomial distribution gave us the number of heads. The multinomial distribution is given by\n", " \n", "$$\n", "\\text{Mult}(m_1,\\dots,m_K|\\boldsymbol\\mu,N) = \n", "\\left(\\!\n", " \\begin{array}{c}\n", " N \\\\\n", " m_1m_2\\dots m_K\n", " \\end{array}\n", "\\!\\right)\n", "\\prod_{k=1}^K \\mu_k^{m_k}\n", "$$\n", "\n", "where\n", "\n", "$$\n", "\\left(\\!\n", " \\begin{array}{c}\n", " N \\\\\n", " m_1m_2\\dots m_K\n", " \\end{array}\n", "\\!\\right) =\n", "\\frac{N!}{m_1!m_2!\\dots m_K!}\n", "$$\n", "\n", " is the number of ways to partition $N$ objects into $K$ groups of size $m_1,\\dots,m_K$, and is called the [multinomial coefficient](https://en.wikipedia.org/wiki/Multinomial_theorem).\n", " \n", "We cannot really plot the multinomial distribution directly, because of the many dimensions of $\\mathbf{m}$. However, we can show the distribution of the number of ones rolled (constraining the other numbers), using various weighted dice." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": { "image/png": { "height": 267, "width": 683 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Consider N tosses of a 6-sided die.\n", "N = 35\n", "m_space = np.arange(1, 15)\n", "\n", "# The weight parameter determines how biased is side 1 of the die\n", "for w in [1, 2, 3]:\n", " nums = np.array([w, 1, 1, 1, 1, 1])\n", " distribution = Multinomial(N, mu=nums / sum(nums))\n", " plt.plot(\n", " m_space,\n", " [distribution.pdf(np.array([m1, 5, 5, 5, 5, 15 - m1]).T) for m1 in m_space],\n", " \"o--\",\n", " label=\"Die having side one of weight %s\" % w,\n", " )\n", "\n", "plt.xlabel(\"$m_1$ (the number of $1$ rolls)\", fontsize=14)\n", "plt.legend(bbox_to_anchor=(1, 0.75), loc=2, borderaxespad=1, fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we can plot the distribution over a $3$ sided die in using a colormap. Note that the plot only depicts two variables on the axes, since the third can be inferred as they sum to N." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 432x288 with 2 Axes>" ] }, "metadata": { "image/png": { "height": 278, "width": 328 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "N = 50\n", "m_space = np.arange(N + 1)\n", "distribution = Multinomial(N, mu=np.array([2, 1, 1]).T)\n", "\n", "o = np.ones((N + 1, N + 1))\n", "for m1 in m_space:\n", " for m2 in np.arange((N - m1) + 1):\n", " m3 = N - m1 - m2\n", " o[m2, m1] = distribution.pdf(np.array([m1, m2, m3]).T)\n", "\n", "plt.imshow(o, origin=\"lower\")\n", "plt.xlabel(\"$m_1$ (number of ones)\", fontsize=14)\n", "plt.ylabel(\"$m_2$ (number of twos)\", fontsize=14)\n", "plt.colorbar()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "### 2.2.1 The Dirichlet distribution\n", "\n", "Similar to the Beta distribution, consider a family of prior distributions for the parameters $\\boldsymbol\\mu$ of the multinomial distribution, called the *Dirichlet* distribution\n", "\n", "$$\n", "\\text{Dir}(\\boldsymbol\\mu|\\boldsymbol\\alpha) = \n", "\\frac{\\Gamma(\\alpha_0)}{\\Gamma(\\alpha_1)\\cdots\\Gamma(\\alpha_K)} \\prod_{k=1}^K \\mu_k^{\\alpha_k-1}\n", "$$\n", "\n", "In order to give an intuition we plot the Dirichlet distribution over three variables. Two of them are shown in horizontal axes are coordinates in the plane of the simplex, while the vertical axis corresponds to the value of the density." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 1440x360 with 3 Axes>" ] }, "metadata": { "image/png": { "height": 312, "width": 1085 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(20, 5))\n", "\n", "for i, alpha in enumerate([0.1, 1, 10]):\n", " distribution = Dirichlet(np.array([alpha, alpha, alpha]))\n", " X1, X2 = np.meshgrid(np.arange(0, 1, 0.01), np.arange(0, 1, 0.01))\n", " X3 = 1 - (X1 + X2)\n", "\n", " X = np.array([np.ravel(X1), np.ravel(X2), [float(\"nan\") if x < 0 else x for x in np.ravel(X3)]]).T\n", " Z = distribution.pdf(X).reshape(X1.shape)\n", "\n", " ax = fig.add_subplot(1, 3, i + 1, projection=\"3d\")\n", " ax.grid(visible=None)\n", " ax.plot_surface(X1, X2, Z)\n", " ax.set_xlabel(\"$\\mu_1$\", fontsize=14)\n", " ax.set_ylabel(\"$\\mu_2$\", fontsize=14)\n", " ax.set_title(\"$\\\\alpha_k={}$\".format(str(alpha)), fontsize=18)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Multiplying the Dirichlet prior by the multinomial likelihood function and **normalizing**, we obtain the posterior distribution for the parameters $\\boldsymbol\\mu$ in the form\n", "\n", "$$\n", "p(\\boldsymbol\\mu|\\mathcal{D},\\boldsymbol\\alpha) = \n", "\\text{Dir}(\\boldsymbol\\mu|\\boldsymbol\\alpha + \\mathbf{m}) =\n", "\\frac{\\Gamma(\\alpha_0 + N)}{\\Gamma(\\alpha_1 + m_1)\\cdots\\Gamma(\\alpha_K + m_K)} \\prod_{k=1}^K \\mu_k^{\\alpha_k+m_k-1}\n", "$$\n", "\n", "Note that the posterior distribution again takes the form of a Dirichlet distribution, confirming that the Dirichlet is indeed a **conjugate prior** for the multinomial distribution. As in the case of the binomial distribution and the beta prior, the parameters $\\alpha_k$ of the Dirichlet prior can be interpreted as an *effective number of observations* of $x_k = 1$. Thus, the effect of observing a data set of $\\mathbf{m}$ observations for the $K$ states of $\\mathbf{x}$ is to increase the values of $\\boldsymbol\\alpha$ by $\\mathbf{m}$ from the prior to the posterior distribution. \n", "\n", "To that end, we present a Bayesian inference step, where an observations of $\\mathbf{x}=(1, 0, 0)^\\text{T}$ arrives. Given a Dirichlet prior having parameters $\\boldsymbol\\alpha=(2, 2, 2)^\\text{T}$, note how the prior revises the form of the **unnormalized** posterior according to the likelihood." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 1440x360 with 3 Axes>" ] }, "metadata": { "image/png": { "height": 317, "width": 1100 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Apply a sequence of Bayesian inference steps, as more observations arrive in the form of a likelihood\n", "fig = plt.figure(figsize=(20, 5))\n", "\n", "# The Dirichlet conjugate prior for the multinomial distribution (starting parameters a=[2, 2, 2])\n", "prior = Dirichlet(alpha=np.array([2, 2, 2]).T)\n", "Z = prior.pdf(X).reshape(X1.shape)\n", "ax = fig.add_subplot(1, 3, 1, projection=\"3d\")\n", "ax.grid(visible=None)\n", "ax.plot_surface(X1, X2, Z)\n", "ax.set_xlabel(\"$\\mu_1$\", fontsize=14)\n", "ax.set_ylabel(\"$\\mu_2$\", fontsize=14)\n", "ax.set_title(prior.change_notation({\"x\": \"mu\"}).to_latex, fontsize=18)\n", "\n", "# The multinomial likelihood\n", "ax = fig.add_subplot(1, 3, 2, projection=\"3d\")\n", "ax.grid(visible=None)\n", "likelihood = Multinomial(n=1, dim=3).pdf(np.array([1, 0, 0]).T)\n", "Z = likelihood.pdf(mu=X).reshape(X1.shape)\n", "ax.plot_surface(X1, X2, Z)\n", "ax.set_xlabel(\"$\\mu_1$\", fontsize=14)\n", "ax.set_ylabel(\"$\\mu_2$\", fontsize=14)\n", "ax.set_title(likelihood.to_latex, fontsize=18)\n", "\n", "# The resulting posterior\n", "ax = fig.add_subplot(1, 3, 3, projection=\"3d\")\n", "ax.grid(visible=None)\n", "posterior = prior.change_notation({\"x\": \"mu\"}) * likelihood\n", "Z = posterior.pdf(mu=X).reshape(X1.shape)\n", "ax.plot_surface(X1, X2, Z)\n", "ax.set_xlabel(\"$\\mu_1$\", fontsize=14)\n", "ax.set_ylabel(\"$\\mu_2$\", fontsize=14)\n", "ax.set_title(posterior.to_latex, fontsize=18)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2.3 Gaussian Distribution\n", "\n", "The *Gaussian*, also known as the normal distribution, is a model for the distribution of continuous random variables. In the case of single variable $x$, the Gaussian distribution is given by\n", "\n", "$$\n", "\\mathcal{N}(x|\\mu,\\sigma^2) =\n", "\\frac{1}{(2\\pi\\sigma^2)^{1/2}}\\exp\\Big\\{-\\frac{1}{2\\sigma^2}(x-\\mu)^2\\Big\\}\n", "$$\n", "\n", "For a $D$-dimensional vector $\\mathbf{x}$, the multivariate Gaussian distribution takes the form\n", "\n", "$$\n", "\\mathcal{N}(\\mathbf{x}|\\boldsymbol\\mu,\\mathbf{\\Sigma}) =\n", "\\frac{1}{(2\\pi)^{D/2}|\\mathbf{\\Sigma}|^{1/2}}\n", "\\exp\\Big\\{-\\frac{1}{2}(\\mathbf{x}-\\boldsymbol\\mu)^\\text{T}\\mathbf{\\Sigma}^{-1}(\\mathbf{x}-\\boldsymbol\\mu)\\Big\\}\n", "$$\n", "\n", "where $\\boldsymbol\\mu$ is a $D$-dimensional mean vector, $\\mathbf{\\Sigma}$ is a $D\\times D$ covariance matrix, while $|\\mathbf{\\Sigma}|$ denotes the determinant of $\\mathbf{\\Sigma}$.\n", "\n", "The Gaussian distribution can be motivated from a variety of perspectives. For instance, we have seen that for continuous variables, the distribution **maximizing the entropy** is a Gaussian distribution. Moreover, the *central limit theorem* tell us that the sum of a set of random variables, which is of course itself a random variable, has a distribution that becomes increasingly Gaussian as the number of terms increases." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<Figure size 1080x288 with 3 Axes>" ] }, "metadata": { "image/png": { "height": 283, "width": 872 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15, 4))\n", "\n", "plt.subplot(1, 3, 1)\n", "sample = np.mean(np.random.uniform(0, 1, size=(1, 100000)), axis=0)\n", "plt.hist(sample, bins=20, density=True, color=\"steelblue\")\n", "plt.xlabel(\"$x_1$\", fontsize=14)\n", "plt.xlim(0, 1)\n", "plt.ylim(0, 5)\n", "plt.title(\"$N=1$\", fontsize=14)\n", "\n", "plt.subplot(1, 3, 2)\n", "sample = np.mean(np.random.uniform(0, 1, size=(2, 100000)), axis=0)\n", "plt.hist(sample, bins=20, density=True, color=\"steelblue\")\n", "plt.xlabel(\"$x_1+x_2$\", fontsize=14)\n", "plt.xlim(0, 1)\n", "plt.ylim(0, 5)\n", "plt.title(\"$N=2$\", fontsize=14)\n", "\n", "plt.subplot(1, 3, 3)\n", "sample = np.mean(np.random.uniform(0, 1, size=(10, 100000)), axis=0)\n", "plt.hist(sample, bins=20, density=True, color=\"steelblue\")\n", "plt.xlabel(\"$x_1+x_2+\\cdots+x_{10}$\", fontsize=14)\n", "plt.xlim(0, 1)\n", "plt.ylim(0, 5)\n", "plt.title(\"$N=10$\", fontsize=14)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Although the Gaussian distribution is widely used as a density model, it suffers from significant limitations: \n", "\n", "1. Consider the number of free parameters in the distribution. A general symmetric covariance matrix $\\mathbf{\\Sigma}$ has $D(D+1)/2$ independent parameters, and there are another $D$ independent parameters in $\\boldsymbol\\mu$, resulting in $D(D+3)/2$ parameters in total. Since the total number of parameters grows quadratically with $D$, manipulation and inversion of large matrices becomes prohibitive.\n", "\n", "\n", "2. One way of addressing these problems is by considering restricted forms of the covariance matrix, such as *diagonal*, $\\mathbf{\\Sigma}=diag(\\sigma_i^2)$, or even *isotropic*, $\\mathbf{\\Sigma}=\\sigma^2\\mathbf{I}$, covariance matrices. Unfortunately, whereas such approaches limit the number of degrees of freedom in the distribution, making the inversion of the covariance matrix faster, they also greatly restrict the form of the probability density and its ability to capture interesting correlations in the data.\n", "\n", "\n", "3. The Gaussian distribution is intrinsically unimodal (i.e., has a single maximum), and so is unable to approximate multimodal distributions." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<Figure size 1296x360 with 3 Axes>" ] }, "metadata": { "image/png": { "height": 324, "width": 1061 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Generate 100 points in the interval [-5, 5]\n", "N = 100\n", "X1, X2 = np.meshgrid(np.linspace(-5, 5, N), np.linspace(-5, 5, N))\n", "X = np.array([np.ravel(X1), np.ravel(X2)])\n", "\n", "plt.figure(figsize=(18, 5))\n", "\n", "# General covariance matrix\n", "generic_sigma = np.array([[1.5, 0.92], [0.92, 2.2]])\n", "N_distribution = MultivariateGaussian(np.zeros((2, 1)), generic_sigma)\n", "p = np.diag(N_distribution.pdf(X)).reshape(X1.shape)\n", "\n", "plt.subplot(1, 3, 1)\n", "plt.contourf(X1, X2, p, cmap=\"binary\")\n", "plt.xlabel(\"$x_1$\", fontsize=14)\n", "plt.ylabel(\"$x_2$\", fontsize=14)\n", "plt.axis([-3, 3, -3, 3])\n", "\n", "# Diagonal covariance matrix\n", "diagonal_sigma = np.array([[1.5, 0], [0, 2.2]])\n", "N_distribution = MultivariateGaussian(np.zeros((2, 1)), diagonal_sigma)\n", "p = np.diag(N_distribution.pdf(X)).reshape(X1.shape)\n", "\n", "plt.subplot(1, 3, 2)\n", "plt.contourf(X1, X2, p, cmap=\"binary\")\n", "plt.xlabel(\"$x_1$\", fontsize=14)\n", "plt.ylabel(\"$x_2$\", fontsize=14)\n", "plt.axis([-3, 3, -3, 3])\n", "\n", "# Isotropic covariance matrix\n", "isotropic_sigma = np.array([[1.0, 0], [0, 1.0]])\n", "N_distribution = MultivariateGaussian(np.zeros((2, 1)), isotropic_sigma)\n", "p = np.diag(N_distribution.pdf(X)).reshape(X1.shape)\n", "\n", "plt.subplot(1, 3, 3)\n", "plt.contourf(X1, X2, p, cmap=\"binary\")\n", "plt.xlabel(\"$x_1$\", fontsize=14)\n", "plt.ylabel(\"$x_2$\", fontsize=14)\n", "plt.axis([-3, 3, -3, 3])\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.3.4 Maximum likelihood for the Gaussian\n", "\n", "Given a data set $\\mathbf{X}=(\\mathbf{x}_1,\\dots,\\mathbf{x}_N)^\\text{T}$, in which the observations $\\mathbf{x}_n$ are assumed to be drawn indepdendently from a multivariate Gaussian distribution, we can estimate the parameters of the distribution by maximum likelihood. The logarithm of the likelihood function is given by\n", "\n", "$$\n", "\\begin{aligned}\n", "\\ln p(\\mathbf{X}|\\boldsymbol\\mu,\\mathbf{\\Sigma}) &= \n", "\\ln \\bigg( \\prod_{n=1}^N \\mathcal{N}(\\mathbf{x}_n|\\boldsymbol\\mu,\\mathbf{\\Sigma}) \\bigg) \\\\\n", "&= \\ln \\bigg( \\prod_{n=1}^N \\frac{1}{(2\\pi)^{D/2}|\\mathbf{\\Sigma}|^{1/2}} \\exp\\Big\\{-\\frac{1}{2}(\\mathbf{x}_n-\\boldsymbol\\mu)^\\text{T}\\mathbf{\\Sigma}^{-1}(\\mathbf{x}_n-\\boldsymbol\\mu)\\Big\\} \\bigg) \\\\\n", "=& \\sum_{n=1}^N \\ln \\bigg( \\frac{1}{(2\\pi)^{D/2}|\\mathbf{\\Sigma}|^{1/2}} \\exp\\Big\\{-\\frac{1}{2}(\\mathbf{x}_n-\\boldsymbol\\mu)^\\text{T}\\mathbf{\\Sigma}^{-1}(\\mathbf{x}_n-\\boldsymbol\\mu)\\Big\\} \\bigg) \\\\\n", "=& \\sum_{n=1}^N \\ln \\bigg( \\frac{1}{(2\\pi)^{D/2}|\\mathbf{\\Sigma}|^{1/2}} \\bigg) + \\sum_{n=1}^N \\ln \\exp\\Big\\{-\\frac{1}{2}(\\mathbf{x}_n-\\boldsymbol\\mu)^\\text{T}\\mathbf{\\Sigma}^{-1}(\\mathbf{x}_n-\\boldsymbol\\mu)\\Big\\} \\\\\n", "=& N \\ln \\bigg( \\frac{1}{(2\\pi)^{D/2}|\\mathbf{\\Sigma}|^{1/2}} \\bigg) -\\frac{1}{2} \\sum_{n=1}^N (\\mathbf{x}_n-\\boldsymbol\\mu)^\\text{T}\\mathbf{\\Sigma}^{-1}(\\mathbf{x}_n-\\boldsymbol\\mu) \\\\\n", "=& - N \\ln \\big( (2\\pi)^{D/2}|\\mathbf{\\Sigma}|^{1/2} \\big) -\\frac{1}{2} \\sum_{n=1}^N (\\mathbf{x}_n-\\boldsymbol\\mu)^\\text{T}\\mathbf{\\Sigma}^{-1}(\\mathbf{x}_n-\\boldsymbol\\mu) \\\\\n", "=& - \\frac{ND}{2} \\ln(2\\pi) - \\frac{N}{2} \\ln|\\mathbf{\\Sigma}| -\\frac{1}{2} \\sum_{n=1}^N (\\mathbf{x}_n-\\boldsymbol\\mu)^\\text{T}\\mathbf{\\Sigma}^{-1}(\\mathbf{x}_n-\\boldsymbol\\mu) \\\\\n", "\\end{aligned}\n", "$$\n", "\n", "Taking the derivative of the log-likelihood over $\\boldsymbol\\mu$ and set it equal to $0$, we obtain the solution for the maximum likelihood estimate of the mean, given by\n", "\n", "$$\n", "\\begin{aligned}\n", "\\frac{\\partial}{\\partial\\boldsymbol\\mu} \\ln p(\\mathbf{X}|\\boldsymbol\\mu,\\mathbf{\\Sigma}) = 0 &\\Leftrightarrow\n", "\\frac{\\partial}{\\partial\\boldsymbol\\mu} \\bigg( - \\frac{ND}{2} \\ln(2\\pi) - \\frac{N}{2} \\ln|\\mathbf{\\Sigma}| -\\frac{1}{2} \\sum_{n=1}^N (\\mathbf{x}_n-\\boldsymbol\\mu)^\\text{T}\\mathbf{\\Sigma}^{-1}(\\mathbf{x}_n-\\boldsymbol\\mu) \\bigg) = 0 \\\\\n", "&\\Leftrightarrow \\frac{\\partial}{\\partial\\boldsymbol\\mu} \\bigg( -\\frac{1}{2} \\sum_{n=1}^N (\\mathbf{x}_n-\\boldsymbol\\mu)^\\text{T}\\mathbf{\\Sigma}^{-1}(\\mathbf{x}_n-\\boldsymbol\\mu) \\bigg) = 0 \\\\\n", "&\\Leftrightarrow -\\frac{1}{2} \\sum_{n=1}^N \\mathbf{\\Sigma}^{-1}(\\mathbf{x}_n-\\boldsymbol\\mu) = 0 \\\\\n", "&\\Leftrightarrow \\sum_{n=1}^N \\mathbf{x}_n - N\\boldsymbol\\mu = 0 \\\\\n", "&\\Leftrightarrow \\boldsymbol\\mu_{ML} = \\frac{1}{N} \\sum_{n=1}^N \\mathbf{x}_n\n", "\\end{aligned}\n", "$$\n", "\n", "which is often called the *sample mean vector*. Calculating the derivative of the log-likelihood over $\\mathbf{\\Sigma}$ and set it equal to $0$ is given by\n", "\n", "$$\n", "\\begin{aligned}\n", "\\frac{\\partial}{\\partial\\mathbf{\\Sigma}} \\ln p(\\mathbf{X}|\\boldsymbol\\mu,\\mathbf{\\Sigma}) = 0 &\\Leftrightarrow\n", "\\frac{\\partial}{\\partial\\mathbf{\\Sigma}} \\bigg( - \\frac{ND}{2} \\ln(2\\pi) - \\frac{N}{2} \\ln|\\mathbf{\\Sigma}| -\\frac{1}{2} \\sum_{n=1}^N (\\mathbf{x}_n-\\boldsymbol\\mu)^\\text{T}\\mathbf{\\Sigma}^{-1}(\\mathbf{x}_n-\\boldsymbol\\mu) \\bigg) = 0 \\\\\n", "&\\Leftrightarrow \\frac{\\partial}{\\partial\\mathbf{\\Sigma}} \\bigg(- \\frac{N}{2} \\ln|\\mathbf{\\Sigma}| \\bigg)-\\frac{\\partial}{\\partial\\mathbf{\\Sigma}} \\bigg( \\frac{1}{2} \\sum_{n=1}^N (\\mathbf{x}_n-\\boldsymbol\\mu)^\\text{T}\\mathbf{\\Sigma}^{-1}(\\mathbf{x}_n-\\boldsymbol\\mu) \\bigg) = 0 \\\\\n", "\\end{aligned}\n", "$$\n", "\n", "By using (C.28) the first term can be reduced to\n", "\n", "$$\n", "\\frac{\\partial}{\\partial\\mathbf{\\Sigma}} \\bigg( -\\frac{N}{2} \\ln|\\mathbf{\\Sigma}| \\bigg) =\n", "-\\frac{N}{2} (\\mathbf{\\Sigma}^{-1})^\\text{T} =\n", "-\\frac{N}{2} \\mathbf{\\Sigma}^{-1}\n", "$$\n", "\n", "where the last equality holds because $\\mathbf{\\Sigma}$ is symmetric. For the second term, we can derive that,\n", "\n", "$$\n", "\\frac{\\partial}{\\partial\\mathbf{\\Sigma}} \\bigg( \\frac{1}{2} \\sum_{n=1}^N (\\mathbf{x}_n-\\boldsymbol\\mu)^\\text{T}\\mathbf{\\Sigma}^{-1}(\\mathbf{x}_n-\\boldsymbol\\mu) \\bigg) = \n", "\\frac{N}{2}\\mathbf{\\Sigma}^{-1}\\mathbf{S}\\mathbf{\\Sigma}^{-1}\n", "$$\n", "\n", "where \n", "\n", "$$\n", "\\mathbf{S}=\\frac{1}{N}\\sum_{n=1}^N (\\mathbf{x}_n-\\boldsymbol\\mu)(\\mathbf{x}_n-\\boldsymbol\\mu)^\\text{T}\n", "$$\n", "\n", "Thus, we obtain\n", "\n", "$$\n", "\\begin{aligned}\n", "-\\frac{N}{2} \\mathbf{\\Sigma}^{-1} + \\frac{N}{2}\\mathbf{\\Sigma}^{-1}\\mathbf{S}\\mathbf{\\Sigma}^{-1} &= 0\n", "\\Leftrightarrow\\\\\n", "\\frac{N}{2}\\mathbf{\\Sigma}^{-1}\\mathbf{S}\\mathbf{\\Sigma}^{-1} &= \\frac{N}{2} \\mathbf{\\Sigma}^{-1}\n", "\\Leftrightarrow\\\\\n", "\\mathbf{\\Sigma} &= \\mathbf{S}\n", "\\Leftrightarrow\\\\\n", "\\mathbf{\\Sigma}_{ML} &= \\frac{1}{N}\\sum_{n=1}^N (\\mathbf{x}_n-\\boldsymbol\\mu_{ML})(\\mathbf{x}_n-\\boldsymbol\\mu_{ML})^\\text{T}\n", "\\end{aligned}\n", "$$\n", "\n", "However, if we evaluate the expectations of the maximum likelihood solutions under the true distribution, we obtain the following results\n", "\n", "$$\n", "\\mathbb{E}[\\boldsymbol\\mu_{ML}] = \\frac{1}{N}\\mathbb{E}\\bigg[ \\sum_{n=1}^N \\mathbf{x}_n \\bigg] =\n", "\\frac{1}{N}\\sum_{n=1}^N\\mathbb{E}[\\mathbf{x}_n] = \\frac{1}{N} N\\boldsymbol\\mu = \\boldsymbol\\mu\n", "$$\n", "\n", "and\n", "\n", "$$\n", "\\mathbb{E}[\\mathbf{\\Sigma}_{ML}] = \\frac{N-1}{N}\\mathbf{\\Sigma}\n", "$$\n", "\n", "Thus, similar to the univariate Gaussian distribution, the expectation of the maximum likelihood estimate for the mean is equal to the true mean, while for the covariance has an expectation that is less than the true value, and hence it is biased. We can correct the bias by defining a different estimator given by\n", "\n", "$$\n", "\\tilde{\\mathbf{\\Sigma}} = \\frac{1}{N-1} \\sum_{n=1}^N (\\mathbf{x}_n-\\boldsymbol\\mu_{ML})(\\mathbf{x}_n-\\boldsymbol\\mu_{ML})^\\text{T}\n", "$$" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<Figure size 1296x360 with 3 Axes>" ] }, "metadata": { "image/png": { "height": 336, "width": 1058 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "X = np.random.multivariate_normal(mean=np.array([0, 0]), cov=1.5**2 * np.eye(2), size=5)\n", "\n", "x, y = np.meshgrid(np.linspace(-5, 5, 100), np.linspace(-5, 5, 100))\n", "\n", "plt.figure(figsize=(18, 5))\n", "\n", "gaussian = MultivariateGaussian(mu=np.zeros((2, 1)), cov=1.5**2 * np.eye(2))\n", "p = np.diag(gaussian.pdf(np.array([x, y]).reshape(2, -1))).reshape(100, 100)\n", "\n", "plt.subplot(1, 3, 1)\n", "plt.contour(x, y, p)\n", "plt.scatter(X[:, 0], X[:, 1], facecolor=\"none\", edgecolor=\"steelblue\")\n", "plt.xlabel(\"$x_1$\", fontsize=14)\n", "plt.ylabel(\"$x_2$\", fontsize=14)\n", "plt.title(\"True distribution\")\n", "\n", "gaussian = MultivariateGaussian(dim=2)\n", "gaussian.ml(X, unbiased=False)\n", "p = np.diag(gaussian.pdf(np.array([x, y]).reshape(2, -1))).reshape(100, 100)\n", "\n", "plt.subplot(1, 3, 2)\n", "plt.contour(x, y, p)\n", "plt.scatter(X[:, 0], X[:, 1], facecolor=\"none\", edgecolor=\"steelblue\")\n", "plt.xlabel(\"$x_1$\", fontsize=14)\n", "plt.ylabel(\"$x_2$\", fontsize=14)\n", "plt.title(\"Biased maximum likelihood\")\n", "\n", "gaussian1 = MultivariateGaussian(dim=2)\n", "gaussian1.ml(X, unbiased=True)\n", "p1 = np.diag(gaussian1.pdf(np.array([x, y]).reshape(2, -1))).reshape(100, 100)\n", "\n", "plt.subplot(1, 3, 3)\n", "plt.contour(x, y, p1)\n", "plt.scatter(X[:, 0], X[:, 1], facecolor=\"none\", edgecolor=\"steelblue\")\n", "plt.xlabel(\"$x_1$\", fontsize=14)\n", "plt.ylabel(\"$x_2$\", fontsize=14)\n", "plt.title(\"Unbiased maximum likelihood\")\n", "\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### 2.3.5 Sequential estimation\n", "\n", "Sequential or online methods allow data points to be processed one at a time and then discarded. They are important when large data sets are involved so that batch processing of all data at once is infeasible. Consider for instance, the maximum likelihood solution for the multivariate Gaussian distribution. Lets denote the solution based on $N$ observations as $\\boldsymbol\\mu_{ML}^{(N)}$. Then, by dissecting the contribution from the final data point $\\mathbf{x}_N$ we obtain\n", "\n", "$$\n", "\\begin{aligned}\n", "\\boldsymbol\\mu_{ML}^{(N)} &= \\frac{1}{N}\\sum_{n=1}^N \\mathbf{x}_n \\\\\n", "&= \\frac{1}{N}\\mathbf{x}_Ν + \\frac{1}{N}\\sum_{n=1}^{N-1} \\mathbf{x}_n \\\\\n", "&= \\frac{1}{N}\\mathbf{x}_Ν + \\frac{N-1}{N}\\boldsymbol\\mu_{ML}^{(N-1)} \\\\\n", "&= \\boldsymbol\\mu_{ML}^{(N-1)} + \\frac{1}{N}\\big(\\mathbf{x}_N - \\boldsymbol\\mu_{ML}^{(N-1)}\\big) \\\\\n", "\\end{aligned}\n", "$$\n", "\n", "Therefore, observing the data point $\\mathbf{x}_N$ revises the estimate by moving the old estimate $\\boldsymbol\\mu_{ML}^{(N-1)}$ a small amount proportional to $1/N$ in the direction of the *error signal* ($\\mathbf{x}_N - \\boldsymbol\\mu_{ML}^{(N-1)}$). Note that, as $N$ increases, the constribution of successive data points gets smaller. Similarly, for $\\boldsymbol\\Sigma_{ML}^{(N)}$, we obtain \n", "\n", "$$\n", "\\begin{aligned}\n", "\\boldsymbol\\Sigma_{ML}^{(N)} &= \\frac{1}{N}\\sum_{n=1}^N (\\mathbf{x}_n - \\boldsymbol\\mu_{ML})(\\mathbf{x}_n - \\boldsymbol\\mu_{ML})^T \\\\\n", "&= \\frac{1}{N}\\sum_{n=1}^{N-1} (\\mathbf{x}_n - \\boldsymbol\\mu_{ML})(\\mathbf{x}_n - \\boldsymbol\\mu_{ML})^T + (\\mathbf{x}_N - \\boldsymbol\\mu_{ML})(\\mathbf{x}_N - \\boldsymbol\\mu_{ML})^T \\\\\n", "&= \\frac{N-1}{N}\\boldsymbol\\Sigma_{ML}^{(N-1)} + (\\mathbf{x}_N - \\boldsymbol\\mu_{ML})(\\mathbf{x}_N - \\boldsymbol\\mu_{ML})^T \\\\\n", "&= \\boldsymbol\\Sigma_{ML}^{(N-1)} + \\frac{1}{N}\\Big((\\mathbf{x}_N - \\boldsymbol\\mu_{ML})(\\mathbf{x}_N - \\boldsymbol\\mu_{ML})^T - \\boldsymbol\\Sigma_{ML}^{(N-1)} \\Big) \\\\\n", "\\end{aligned}\n", "$$\n", "\n", "Unfortunately, there is not always possible to derive a sequential algorithm by this route for any distribution. Therefore, we seek a more general formulation of sequential learning, which leads us to the **Robbins-Monro** algorithm. Consider a pair of random variables $\\theta$ and $z$ governed by a joint distribution $p(\\theta,z)$. The conditional expectation of $z$ given $\\theta$ is given by\n", "\n", "$$\n", "\\mathbb{E}[z|\\theta] = \\int z p(z|\\theta) dz\n", "$$\n", "\n", "The Robbins-Monro procedure defines a sequence of succesive estimates of the root $\\theta^\\star$ given by\n", "\n", "$$\n", "\\theta^{(N)} = \\theta^{(N-1)} - a_{N-1}z(\\theta^{(N-1)})\n", "$$\n", "\n", "where $z(\\theta^{(N-1)})$ is the observed value of $z$ when $\\theta$ takes the value $\\theta^{(N-1)}$.\n", "\n", "In the case of the maximum likelihood solution we know that\n", "\n", "$$\n", "\\frac{\\partial}{\\partial\\theta}\\bigg\\{ -\\frac{1}{N} \\sum_{n=1}^N \\ln p(x_n|\\theta) \\bigg\\} = 0\n", "\\Leftrightarrow -\\frac{1}{N} \\sum_{n=1}^N \\frac{\\partial}{\\partial\\theta}\\ln p(x_n|\\theta) = 0\n", "$$\n", "\n", "Taking the limit $N \\to \\infty$ we have\n", "\n", "$$\n", "-\\lim_{N \\to \\infty} \\frac{1}{N} \\sum_{n=1}^N \\frac{\\partial}{\\partial\\theta}\\ln p(x_n|\\theta)\n", "= \\mathbb{E} \\bigg[ -\\frac{\\partial}{\\partial\\theta}\\ln p(x_n|\\theta) \\bigg]\n", "$$\n", "\n", "and so finding the maximum likelihood solution corresponds to finding the root of the regression function. Thus, Robbins-Monro procedure takes the form\n", "\n", "$$\n", "\\theta^{(N)} = \\theta^{(N-1)} - a_{N-1}\\frac{\\partial}{\\partial\\theta^{(N-1)}}[-\\ln p(x_n|\\theta^{(N-1)})]\n", "$$" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 864x360 with 1 Axes>" ] }, "metadata": { "image/png": { "height": 324, "width": 762 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sample = np.random.randn(1000000)\n", "\n", "sum_s = sample[0]\n", "theta_n = sum_s / 1\n", "history = [theta_n]\n", "for N, s in enumerate(sample[1:], 2):\n", " theta_n = sum_s / N + 1 / N * (s - sum_s / N)\n", " sum_s += s\n", " history.append(theta_n)\n", "\n", "plt.figure(figsize=(12, 5))\n", "plt.plot(history)\n", "plt.xlim(0, 1000000)\n", "plt.ylim(-0.01, 0.01)\n", "plt.xlabel(\"Number of samples\", fontsize=14)\n", "plt.ylabel(\"$\\\\theta=\\mu_{ML}$\", fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.3.6 Bayesian inference for the Gaussian\n", "\n", "Now we develop a Bayesian treatment by introducing prior distributions over the parameters for the mean and variance. Consider a single Gaussian random variable $x$, for which we are given a set of $N$ observations $\\mathsf{x}=\\{x_1,\\dots,x_N\\}$.\n", "\n", "**1. Suppose that the variance $\\sigma^2$ is known and we consider the task of inferring the mean $\\mu$:**\n", "\n", "The likelihood function is given by\n", "\n", "$$\n", "p(\\mathsf{x}|\\mu) = \\prod_{n=1}^N p(x_n|\\mu) = \n", "\\prod_{n=1}^N \\frac{1}{(2\\pi\\sigma^2)^{1/2}}\\exp\\Big\\{-\\frac{1}{2\\sigma^2}(x_n-\\mu)^2\\Big\\} =\n", "\\frac{1}{(2\\pi\\sigma^2)^{N/2}}\\exp\\Big\\{-\\frac{1}{2\\sigma^2}\\sum_{n=1}^N(x_n-\\mu)^2\\Big\\}\n", "$$\n", "\n", "**NOTE:** The likelihood function is **not** a probability distribution over $\\mu$ and is not normalized.\n", "\n", "A Gaussian prior $p(\\mu)$ is a conjugate for the likelihood function, because the corresponding posterior is then given by the product of exponentials of quadratic functions of $\\mu$ that results in a Gaussian. Thererfore, the prior has the form\n", "\n", "$$\n", "p(\\mu) = \\mathcal{N}(\\mu|\\mu_0,\\sigma_0^2)\n", "$$\n", "\n", "and the posterior distribution can be proved to be given by\n", "\n", "$$\n", "p(\\mu|\\mathsf{x}) = \\mathcal{N}(\\mu|\\mu_N,\\sigma_N^2)\n", "$$\n", "\n", "where\n", "\n", "$$\n", "\\begin{aligned}\n", "\\mu_N &= \\frac{\\sigma^2}{N\\sigma_0^2+\\sigma^2}\\mu_0 + \\frac{N\\sigma_0^2}{N\\sigma_0^2+\\sigma^2}\\mu_{ML}^2 \\\\\n", "\\sigma_N^2 &= \\sigma_0^2 + \\frac{1}{N}\\sigma^2\n", "\\end{aligned}\n", "$$\n", "\n", "Note that the mean of the posterior is a compromise between the prior mean $\\mu_0$ and the maximum likelihood solution $\\mu_{ML}$. If the number of observed data points $N=0$, then $\\mu_N$ and $\\sigma_N^2$ reduce to the prior mean $\\mu_0$ and variance $\\sigma_0^2$ as expected. For $N\\to\\infty$, the posterior mean is given by the maximum likelihood solution $\\mu_{ML}$, while the variance goes to zero and the posterior distribution becomes infinitely peaked around the maximum likelihood solution." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": { "image/png": { "height": 252, "width": 375 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(-1, 1, 100)\n", "\n", "prior = Gaussian(0, 0.1)\n", "plt.plot(x, prior.pdf(x), label=\"Prior\")\n", "\n", "N = 1\n", "sample = Gaussian(mu=0.8, var=0.1**2).draw(N)\n", "mN = (N * 0.1 * np.mean(sample)) / (N * 0.1 + 0.1)\n", "varN = 1 / ((1 / 0.1) + (N / 0.1))\n", "plt.plot(x, Gaussian(mN, varN).pdf(x), label=\"$N=1$\")\n", "\n", "N = 2\n", "sample = Gaussian(mu=0.8, var=0.1**2).draw(N)\n", "mN = (N * (0.1) * np.mean(sample)) / (N * 0.1 + 0.1)\n", "varN = 1 / ((1 / 0.1) + (N / 0.1))\n", "plt.plot(x, Gaussian(mN, varN).pdf(x), label=\"$N=2$\")\n", "\n", "N = 10\n", "sample = Gaussian(mu=0.8, var=0.1**2).draw(N)\n", "mN = (N * 0.1 * np.mean(sample)) / (N * 0.1 + 0.1)\n", "varN = 1 / ((1 / 0.1) + (N / 0.1))\n", "plt.plot(x, Gaussian(mN, varN).pdf(x), label=\"$N=10$\")\n", "\n", "plt.xlim(-1, 1)\n", "plt.ylim(0, 5)\n", "plt.legend(fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**2. Supporse that the mean $\\mu$ is known and we wish to infer the variance $\\sigma^2$:**\n", "\n", "The likelihood function is given by\n", "\n", "$$\n", "p(\\mathsf{x}|\\lambda^{-1}) = \\prod_{n=1}^N p(x_n|\\lambda^{-1}) = \n", "\\frac{\\lambda^{N/2}}{\\sqrt{2\\pi\\sigma^2}}\\exp\\Big\\{-\\frac{\\lambda}{2}\\sum_{n=1}^N (x - \\mu)^2 \\Big\\}\n", "$$\n", "\n", "where we choose to use the precision $\\lambda=1/\\sigma^2$ for convenience.\n", "\n", "The corresponding conjugate prior should therefore be proportional to the product of a power of $\\lambda$ and the exponential of a linear function of $\\lambda$, which corresponds to a *gamma* distribution\n", "\n", "$$\n", "\\text{Gam}(\\lambda|a,b) = \\frac{1}{\\Gamma(a)}b^a\\lambda^{a-1}\\exp(-b\\lambda)\n", "$$\n", "\n", "In the case of variance, the conjugate prior is called the *inverse gamma* distribution. The mean of the gamma distribution is given by\n", "\n", "$$\n", "\\begin{aligned}\n", "\\mathbb{E}[\\lambda] &= \\int_0^{\\infty} \\lambda \\frac{1}{\\Gamma(a)}b^a\\lambda^{a-1}\\exp(-b\\lambda) d\\lambda \\\\\n", "&= \\frac{b^a}{\\Gamma(a)} \\int_0^{\\infty} \\lambda^a\\exp(-b\\lambda) d\\lambda \\\\\n", "&\\overset{u=b\\lambda}= \\frac{b^a}{\\Gamma(a)} \\int_0^{\\infty} \\frac{u^a}{b^a}\\exp(-u) \\frac{1}{b}du \\\\\n", "&= \\frac{1}{b\\Gamma(a)} \\int_0^{\\infty} u^a\\exp(-u)du \\\\\n", "&= \\frac{1}{b\\Gamma(a)} \\int_0^{\\infty} u^a\\exp(-u)du \\\\\n", "&= \\frac{1}{b\\Gamma(a)} \\Gamma(a+1) = \\frac{1}{b\\Gamma(a)} a\\Gamma(a) = \\frac{a}{b} \\\\\n", "\\end{aligned}\n", "$$\n", "\n", "where we have used the gamma function definition\n", "\n", "$$\n", "\\Gamma(x) = \\int_0^{\\infty} u^{x-1}e^{-u}du\n", "$$\n", "\n", "The variance is given by\n", "\n", "$$\n", "\\begin{aligned}\n", "\\text{var}[\\lambda] &= \\mathbb{E}[\\lambda^2] - \\mathbb{E}[\\lambda]^2 \\\\\n", "&= \\mathbb{E}[\\lambda^2] - \\frac{a^2}{b^2} \\\\\n", "&= \\int_0^{\\infty} \\lambda^2\\text{Gam}(\\lambda|a,b)d\\lambda - \\frac{a^2}{b^2} \\\\\n", "&= \\int_0^{\\infty} \\lambda^2 \\frac{1}{\\Gamma(a)}b^a\\lambda^{a-1}\\exp(-b\\lambda) d\\lambda - \\frac{a^2}{b^2} \\\\\n", "&= \\frac{b^a}{\\Gamma(a)} \\int_0^{\\infty} \\lambda^{a+1}\\exp(-b\\lambda) d\\lambda - \\frac{a^2}{b^2} \\\\\n", "&\\overset{u=b\\lambda}= \n", "\\frac{b^a}{\\Gamma(a)} \\int_0^{\\infty} \\frac{u^{a+1}}{b^{a+1}}\\exp(-u)\\frac{1}{b}du - \\frac{a^2}{b^2} \\\\\n", "&= \\frac{1}{b^2\\Gamma(a)} \\int_0^{\\infty} u^{a+1}\\exp(-u) du - \\frac{a^2}{b^2} \\\\\n", "&= \\frac{1}{b^2\\Gamma(a)} \\Gamma(a+2) - \\frac{a^2}{b^2} \\\\\n", "&= \\frac{1}{b^2\\Gamma(a)} a(a+1)\\Gamma(a) - \\frac{a^2}{b^2} = \\frac{a(a+1)}{b^2} - \\frac{a^2}{b^2}\n", "= \\frac{a}{b^2}\n", "\\end{aligned}\n", "$$" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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Dpxo2bNZTGJ5+urlaAAAAAACgEz3++KzjI972tuZq6RXDh896CsP//E9y//3N1QNAWxFg6GTGSAAAAAAAwKL79a+TqVPr9VZbGR8xVHbfvf7vnSSTJiVHHdVsPQC0DQGGTrb00q31U081VwcAAAAAAHSin/+8tTY+YuiUkhx9dGv//e8nd9zRXD0AtA0Bhk7mBAYAAAAAAFg0EyYk557b2gswDK3XvjbZccd6PXVqMn58k9UA0CYEGDpZ/xMYBBgAAAAAAGDB/b//l0yeXK833zxZe+1m6+k1s5/CcMYZyd//3lw9ALQFAYZOZoQEAAAAAAAsml/+srV2+kIzXvGK5E1vqtdVlRx2WLP1ANA4AYZOZoQEAAAAAAAsvGefTf7wh9b+rW9trpZed9RRrfWvfpX85S/N1QJA4wQYOpkREgAAAAAAsPDOPz+ZOLFer7dessEGzdbTyzbdNPnP/2ztDz20sVIAaJ4AQyfrfwKDERIAAAAAALBgzj67td599+bqoPbFLybD+n5kde65yaWXNlsPAI0RYOhkTmAAAAAAAICFM21a8utft/Z77NFYKfRZf/1k771b+yOOaK4WABolwNDJBBgAAAAAAGDhXHll8tBD9XqllZJttmm2HmqHHpoMH16vL7wwufjiZusBoBECDJ3MCAkAAAAAAFg4/cdHvOUtrR+a06y11571FIbx4xsrBYDmCDB0MicwAAAAAADAwukfYNh99+bq4PkOPTQZMaJeX3RR/QFATxFg6GT9AwxOYAAAAAAAgHm79db6I0nGjUte+9pm62FWa62VvP/9rb1TGAB6jgBDJ+s/QsIJDAAAAAAAMG+/+U1rvcsuydixzdXCnB1ySOsUhosvTi68sNl6ABhSAgydzAgJAAAAAABYcL/7XWv95jc3Vwdzt+aayQc+0NqPH59UVVPVADDEBBg6Wf8TGIyQAAAAAACAuXvyyeSSS1r7N7yhuVqYt4MPbp3CcMklTmEA6CECDJ3MCQwAAAAAALBgzjsvmTq1Xm+2WbLKKs3Ww9ytuWbyX//V2h9xhFMYAHqEAEMnGzcuGdb3JXzuuWTKlGbrAQAAAACAdtV/fMQb39hcHSyYgw9ORo6s15ddllxwQbP1ADAkBBg6WSnGSAAAAAAAwPxMnz5rgOFNb2quFhbMGms4hQGgBwkwdDpjJAAAAAAAYN6uvz558MF6vcIKydZbN1oOC6j/KQx/+lNy/vnN1gPAoBNg6HQCDAAAAAAAMG+//W1rveuuyfDhzdXCglt99eSDH2ztncIA0PUEGDrdssu21o8/3lgZAAAAAADQtvqPj3jjG5urg4XX/xSGyy9Pzjuv2XoAGFQCDJ1uhRVa60cfba4OAAAAAABoR48+mlx5Zb0eNix5/eubrYeFs9pqyYc+1NqPH+8UBoAuJsDQ6ZZfvrUWYAAAAAAAgFn98Y+tH3hvvfWsvxhIZzj44GTUqHp9xRVOYQDoYgIMnc4JDAAAAAAAMHd/+ENr7fSFzrTqqsmHP9zaf+lLTmEA6FICDJ2uf4DhsceaqwMAAAAAANpNVQkwdIsvfCEZObJeX3ZZcvHFzdYDwKAQYOh0TmAAAAAAAIA5+/vfk3/+s14vu2yy1VaNlsNiWG215P3vb+2/9KXGSgFg8AxIgKGUsmcp5VullEtLKU+WUqpSyumL+FqrllJ+UEr5ZyllUinl7lLKN0opy83jORuVUs4spTxUSnmulHJrKeXIUsrYRf+sOsTyy7fWAgwAAI3REwMA0Ov0xLSlc89trV/72mTEiOZqYfEdeGAyfHi9vuCC5PLLm60HgAE3UCcwHJrkE0k2TfLAor5IKWWdJNck+UCSq5Icn+TOJJ9OckUpZYU5PGebJH9JskeSPyY5IcmTSQ5Pcl4pZfSi1tMRnMAAANAu9MQAAPQ6PTHtx/iI7rL22sl73tPaO4UBoOsMVIBh/yTrJVk6yccW43W+k2SlJJ+qqmqPqqoOrKrqNakb1PWTHN3/waWU4Ul+mGRckj2rqnpXVVVfSLJNkl8k2b6vtu7VP8Dw2GPN1QEAgJ4YAIBepyemvTz7bHLJJa39Lrs0VwsD5+CDk2F9P94655zkL39pth4ABtSABBiqqrqwqqrbq6qqFvU1+lK1uyS5O8n/zHb3EUmeSfLeUsoS/a6/OsmGSS6pqurX/eqZnuTzfdt9SillUetqe05gAABoC3riATJ5cvLww01XAQDAItAT03YuuSR57rl6vcEGyeqrN1sPA2O99ZJ3vKO1P+qo5moBYMAN1AkMA2Gnvttz+xrLmaqqeirJn1InaLftd9dr+m7Pmf3Fqqq6M8ltSdZIsvaAV9sull++tX700WTR/20AAEDzersnnjw5+c//THbYIfnXv5quBgCAZvR2T8zAMj6iex1ySGv9618nf/1rc7UAMKDaKcCwft/tbXO5//a+2/UW8zlzVEq5Zk4fSTaY33MbNXZs/ZEkU6cmTz3VbD0AACyO3u2Jq6qeY3r22ckttyQ77pj885+D/rYAALSd3u2JGXjnn99aGx/RXV760uRtb2vtncIA0DXaKcCwTN/thLncP+P6sov5nO7Tf4zEY481VwcAAIurd3viUurTF4YPr/e33VaHGB54oNGyAAAYcr3bEzOwHn44ueGGej1iRH3SG93l0ENb61/8IrnppuZqAWDAtFOAoVFVVW0xp48ktzRd23z1DzA8+mhzdQAA0NEa74n33DP5v/+rv7mYJLffXocY7r9/SN4eAAAa74kZOBdd1Fpvs02y5JKNlcIg2XTT5C1vqddVlRx9dKPlADAw2inAMCMFu8xc7p9x/YnFfE73EWAAAOgWeuK3vS0588xWiOEf/6hDDPfd12hZAAAMGT0xA+OCC1rr17ymuToYXIcd1lr/9Kd1EB6AjtZOAYZb+27nNods3b7b/nPMFuU53Wf55VtrAQYAgE6mJ06St741+fnPk5Ej6/0dd9QhhnvvbbQsAACGhJ6YgSHA0Bu22ip5/evr9fTpyTHHNFsPAIutnQIMF/bd7lJKmaWuUspSSbZPMjHJn/vdNaMD2XX2FyulrJ26Yb0nyZ0DXm07cQIDAEC30BPPsPvus4YY7ryzDjHcc0+jZQEAMOj0xCy+++9PbuvLq4wZk2y7bbP1MLj6n8Jw2mnJXXc1VwsAi23IAwyllJGllA1KKev0v15V1R1Jzk2yZpKPz/a0I5MskeS0qqqe6Xf94iQ3J9mhlLJbv/cYluQrfdsTq6qqBvazaDP9AwyPPdZcHQAALBA98QLabbfkl79MRo2q93fdVYcY7r67yaoAABgAemIG1YUXttbbb1+HGOhe22+f7LRTvZ42LTn22GbrAWCxjBiIFyml7JFkj77tyn2325VSTu1bP1JV1Wf71i9O3Uzek7oJ7W/fJJcn+WYpZee+x22TZKfUx3sd0v/BVVVNK6V8IHXC9uellJ8nuTfJzkm2TPKnJMcv9ifY7pzAAADQOD3xIHnzm5Nf/aoeKzF5ch1eePWrk4suStZaq+nqAADoR09M2zA+ovccdlgruPLDHyaHHpqstlqzNQGwSAbqBIZNk+zd99E3bChr97u254K8SF+6dsskp6ZuSA9Isk6SE5JsW1XV8346X1XVlUm2SnJ2kl2S7J9kmSRfTPK6qqomLeLn1DmWX761FmAAAGjKptETD443vjE5++xk9Oh6f++9yQ47tI6EBQCgXWwaPTFNqyoBhl604471SQxJMmVK8tWvNloOAItuQE5gqKpqfJLxC/jYu5OUedx/X5IPLOT735Tk7QvznK7iBAYAgMbpiQfZrrvWIYbdd08mTapn2u6wQ/LHPyYbb9x0dQAARE9Mm7jzzjr0nCRLLZVsuWWz9TA0SqlPYdh113r/ve8lBx+cvOhFzdYFwEIbqBMYaFL/AMNjjzVXBwAADKbXvz757W+TcePq/b//Xf+WzXXXNVoWAADQRvqfvrDDDsmIAfk9TjrBLrskW21VrydNSr72tWbrAWCRCDB0AycwAADQK3beOTnnnPo3qZK6/91pp+TKK5utCwAAaA/GR/SuGacwzHDiicnDDzdXDwCLRIChGyy/fGstwAAAQLd71avq0RHLLlvvJ0xIXvva5JJLGi0LAABoWFUJMPS6N7852XTTej1xYnLccY2WA8DCE2DoBsst11o/8UQydWpjpQAAwJDYeuvkwguTF7yg3j/9dD3r9I9/bLYuAACgOTfdlDz0UL1efvnk5S9vth6GXinJoYe29t/+ttHbAB1GgKEbjBjR+u2zpA4xAABAt9t00+Tii5OVV673zz5b/7bNb37TaFkAAEBD+p++sNNOyTA/AulJb31r8tKX1uunn05OOKHZegBYKP727hYrrNBaGyMBAECv2GijenTEaqvV+0mT6m9W/exnzdYFAAAMPeMjSOrgyiGHtPbf/GY9ehCAjiDA0C0EGAAA6FXrrluHGNZeu95PnZrstVdyyinN1gUAAAydadOSiy5q7XfaqbFSaAP/+Z/1vxWT+tTq//mfRssBYMEJMHSL5ZdvrQUYAADoNWuuWYcY1l+/3k+fnnz4w8l//3ejZQEAAEPk+utb45VXXjnZYIMmq6Fpw4cnBx/c2h93XD1OAoC2J8DQLZzAAABAr3vxi5NLL00237x17fOfTw46KKmq5uoCAAAG3+zjI0pprhbaw7vfXYfdk/rnJied1Gg5ACwYAYZu0T/A8NhjzdUBAABNWnHF5MILk1e/unXt2GOTffapj5QFAAC60+wBBhg5MjnwwNb+v/87efbZ5uoBYIEIMHQLJzAAAEBt6aWT3/8+ectbWtdOPjl517uSyZObqwsAABgcU6bUp7HNIMDADO9/f7LqqvX63/9OTjml0XIAmD8Bhm6x/PKttQADAAC9buzY5Be/SN7znta1M89MdtsteeaZ5uoCAAAG3jXXtPr8NdZI1lqr2XpoH6NH16MFZ/jKV5JJk5qrB4D5EmDoFk5gAACAWY0cmfzoR8knP9m69oc/JLvskjz+eHN1AQAAA6v/6Qv9x8lBknzoQ8kLX1ivH3ig/nciAG1LgKFb9A8wPPZYc3UAAEA7GTYsOeGE5IgjWtcuv7z+puaDDzZXFwAAMHD6Bxhe9arm6qA9jR2bfPazrf2Xv1yPHQGgLQkwdAsnMAAAwJyVkowfn3zjG61rf/tb8spXJnfd1VRVAADAQJg+PbnsstZegIE52Wef1s9R7r47OeOMRssBYO4EGLrF8su31o880lwdAADQrj796fqo0OHD6/0ddyTbb5/ceGOzdQEAAIvupptaI+JWWilZb71m66E9Lblk8pnPtPbHHJNMm9ZcPQDMlQBDt1hppdb6oYeSqmquFgAAaFfve1/yy18mo0fX+3/9qz6J4eKLm60LAABYNP3HR7zylfUJbDAnH/94suyy9fr225Mzz2y0HADmTIChWyyxRLLUUvV6ypTkscearQcAANrVbrsl55zT6p8nTEh22SX52c+arQsAAFh4l1zSWhsfwbwss0zyqU+19kcfXY8gAaCtCDB0kxe9qLX+17+aqwMAANrdjjvWpy6svHK9nzw5ecc7km99q9GyAACAhVBVs57AIMDA/Hz60/U4iST5+9+Ts85qtBwAnk+AoZvM+OZrkjz4YHN1AABAJ9hss+Tyy1szcquq/m2cL3zBb+EAAEAnuPvu5IEH6vWSSyabbNJoOXSA5ZdPPvGJ1v6oo4zkBmgzAgzdxAkMAACwcNZaK/nTn5Jtt21d++pXk733rk9lAAAA2lf/0xde8YpkxIjmaqFz7L9/MnZsvb7uuuS3v222HgBmIcDQTfoHGJzAAAAAC+YFL0jOPz95y1ta104/PXnzm5OnnmquLgAAYN6Mj2BRrLRSss8+rb1TGADaigBDN+k/QsIJDAAAsODGjUt++cvkwx9uXTvvvOTVrxYOBgCAdiXAwKL67GeT0aPr9ZVXJn/8Y7P1ADCTAEM3MUICAAAW3YgRyUknJUce2bp23XX1UbS33dZcXQAAwPM99FBy6631euTIZOutm62HzrLKKskHP9jaf+lLzdUCwCwEGLqJERIAALB4SkkOPzz53veS4cPra3fdlWy/ff1bOQAAQHu47LLWequtkrFjm6uFzvSFL9Thl6Q+zeOSS5qtB4AkAgzdxQkMAAAwMD70oeSss1rfBH3kkWSnneprAABA84yPYHGtvnqy996tvVMYANqCAEM3WXnl1lqAAQAAFs+b35xceGGywgr1/tlnk//4j+T445OqarY2AADodf0DDDvs0FwddLaDDmqdvvfHPyZ//nOz9QAgwNBVVlihddzRk08mEyc2Ww8AAHS6bbZJLr88WXvtel9VyWc+k3z848nUqc3WBgAAveqpp5LrrqvXpSSveEWz9dC51l47ede7WvujjmquFgCSCDB0l1JmPYXhwQebqwUAALrFeuvVv4XT/5ui3/1u8pa31MFhAABgaF1xRTJ9er1++cuTZZdttBw63MEH1z9fSZLf/ja59tpm6wHocQIM3cYYCQAAGHgrrpicf36y116ta+ecU8/ave++5uoCAIBe1H98xKte1VwddIcNNkj+8z9be6cwADRKgKHbvOhFrbUTGAAAYOCMGZOccUZy6KGtazfcUI+ZuOaa5uoCAIBeI8DAQDvkkNb6V79KbryxuVoAepwAQ7fpH2BwAgMAAAysYcOSL30p+eEPkxEj6mv/+leyww7Jr3/dbG0AANALJk1KrryytRdgYCC87GXJHnu09kcf3VgpAL1OgKHbGCEBAACD7/3vT/7wh9as3YkT6292nXBCUlUNFgYAAF3ummuS556r1+usM+sv9cHi6H/a3v/9X3Lrrc3VAtDDBBi6jRESAAAwNF7zmuSKK5K11qr3VZXst1/yqU8lU6c2WhoAAHQt4yMYLFtskbzhDfW6qpIvf7nZegB6lABDtzFCAgAAhs4GG9TH1263Xevat7+d7L578uSTzdUFAADd6vLLW+tXvrK5OuhOhx3WWp9+enLnnc3VAtCjBBi6Tf8REk5gAACAwbfiisn55yf/+Z+ta7/7XbLttsk//tFcXQAA0G2qqj4FbYZXvKK5WuhO222X7LxzvZ42LTn22GbrAehBAgzdxgkMAAAw9MaOTX7yk+Tgg1vXbr452Xrr5IILmqsLAAC6yR13JA8/XK+XWy5Zf/1m66E79T+F4dRTk/vua6wUgF4kwNBtXvjC1vqhh+qEIAAAMPiGDUuOPjo57bRk9Oj62uOPJ7vsknznO83WBgAA3aD/+Ihtt617cBhoO+zQGk8yZYpTGACGmL/du82oUckKK9Tr6dNbaVQAAGBovOc9ycUXt05HmzYt+fjHk499rP7mFwAAsGiMj2AolJIccURrf8opTmEAGEICDN3IGAkAAGjWNtskf/lLsuWWrWsnnpi87nXJI480VxcAAHSy/icwbLddc3XQ/XbeOdl++3o9ebJTGACGkABDNxJgAACA5r34xckllyR77dW6dvHFydZbJzfe2FxdAADQiZ58stVHDxtW99UwWJzCANAYAYZutPLKrfWDDzZXBwAA9LqxY5Mf/zg5+ujWtbvuqn9b7Ne/bq4uAADoNFddVY9NTpKXvzxZaqlm66H7vfa1rVElTmEAGDICDN3ICQwAANA+SkkOPjg566xkiSXqa08/neyxR/0NsKpqsjoAAOgMV1zRWhsfwVAoJRk/vrU/5ZTk/vsbKwegVwgwdCMBBgAAaD+7715/03XNNet9VSUHHZS8+93JxImNlgYAAG3v8stb6xm/FQ+DzSkMAENOgKEbvfjFrbWZTAAA0D5e9rL66Nsddmhd+8lP6t8gu/PO5uoCAIB2Nn26ExhoRinJEUe09t/7nlMYAAaZAEM3WmON1vqee5qrAwAAeL4VV0zOOy/56Edb1264Idlyy+Scc5qrCwAA2tUttyQTJtTrlVZK1l672XroLa97XSs04xQGgEEnwNCNBBgAAKC9jRqVnHhi/ds7o0bV1x5/PHnjG5NjjqnHSwAAALX+4yO2267+rXgYKqUk48e39k5hABhUAgzdaKWVkjFj6vUTT7SSqQAAQHv50IeSSy5pjYGrquSQQ5K3vS158slmawMAgHbRf3zEK17RXB30LqcwAAwZAYZuVIpTGAAAoFNss01yzTXJDju0rv3qV/X1W25pri4AAGgX/U9gEGCgCaUkRxzR2n/ve8kDDzRXD0AXE2DoVgIMAADQOV74wuSPf0z226917ZZbkq23Ts46q6mqAACgeY891gr2jhiRbLFFs/XQu3bZJdl223rtFAaAQSPA0K3WXLO1vvvupqoAAAAW1MiRyfHHJ6efnowdW1976qnkrW+tx0pMm9ZsfQAA0IQ//7m13nzzVq8MQ62UZPz41v7kk53CADAIBBi6lRMYAACgM7373fURuWut1bp2zDHJm99c//YZAAD0kv7jI7bbrrk6IHEKA8AQEGDoVgIMAADQuTbdNLn66vqbYzOcc079G2d/+UtjZQEAwJC74orW+hWvaK4OSOpTGI44orV3CgPAgBuwAEMpZdVSyg9KKf8spUwqpdxdSvlGKWW5BXz+jqWUagE+VpvtefN67J/n9n5dzwgJAIAhpydmQC2/fPK73yUHHdS6ds89yStfmfzP/yRV1VxtAABzoSdmQE2dmlx5ZWvvBAbawetfn2yzTb2ePLk+MQ+AATNiIF6klLJOksuTrJTk7CS3JNk6yaeT7FpK2b6qqkfn8zJ3JzlyLve9LMl/JLmxqqr75nD/PUlOncP1++dbfLdyAgMAwJDSEzMohg+vvxm29dbJ+9+fTJhQf4PsE59ILr00+d73kqWWarpKAIAkemIGwY03Js88U69XXTVZbbV5Px6GQinJkUcmu+5a77/3veTzn5/15zIALLIBCTAk+U7qpvRTVVV9a8bFUspxSfZPcnSSfeb1AlVV3Z1k/JzuK6X8pG/5vbk8/e6qqub43J71ohclI0bUCdWHH04mTkzGjWu6KgCAbqYnZvDssUdyzTXJ29+eXHddfe3//q9e//znycte1mh5AAB99MQMrMsvb62Nj6Cd7LJLfTreZZclU6YkX/pScsopTVcF0BUWe4REX6p2l9TJ2P+Z7e4jkjyT5L2llCUW8fVfkOStSZ5N8r+LXmmPGT48WX311t4pDAAAg0ZPzJBYZ536G7gf/Wjr2m231UeXnnpqY2UBACR6YgZJ/wCD8RG0k1Lq0MIMp56a3H57Y+UAdJPFDjAk2anv9tyqqqb3v6OqqqeS/CnJuCTbLuLr751kdJKfVVX1xFwes2wp5b9KKQeXUj5eSlnU9+ouxkgAAAwVPTFDY8yY5MQTk9NOa52w9uyzyQc+kHzwg/UaAKAZemIG3hVXtNZOYKDd7LhjsvPO9XratHqsBACLbSBGSKzfd3vbXO6/PXXydr0k5y/C63+47/akeTxmkyTf73+hlPLXJO+tqupvC/ImpZRr5nLXBgvy/LYkwAAAMFT0xAyt97wn2XzzZM89k5tvrq/94AfJ1VcnP/tZst56zdYHAPQiPTED6+GHkzvvrNejRyebbtpoOTBHX/pScn7fH2k//nFy0EHJS1/abE0AHW4gTmBYpu92wlzun3F92YV94VLKq1M3vjdWVXX5XB52XJLtk6yYZKkkWyX5eepm9YJSyosX9n27xpprttZ3391UFQAAvUBPzNDbaKPkqquSd7+7de2GG5Itt6xDDAAAQ0tPzMC66qrWerPNklGjmqsF5ma77ZI3vrFeV1Uyfnyj5QB0g4EIMAymj/Tdnjy3B1RVdUBVVZdXVfVIVVVPV1V1dVVVb0/yiyQvSPLZBXmjqqq2mNNHklsW+7NoihMYAAC6gZ6YuVtyyXqcxEkn1b+VliRPPZX8538m++5rpAQA0C30xL2of4Bhm22aqwPm54tfbK1//vPkuuuaqwWgCwxEgGFGcnaZudw/4/oTC/OipZTlk7wtybNJTluEuk7su91hEZ7bHQQYAACGip6Y5pSSfOQjyeWXJ2uv3br+3e/W3+i96abmagMAeomemIF15ZWt9dZbN1cHzM8WWyT/8R+t/eGHN1cLQBcYiADDrX23cxuyum7f7dxmn83N3klGJzmzqqonFqGuh/tul1iE53aH/gEGIyQAAAaTnpjmbb55cs01ydve1rr2t7/VIyVOOaU+zhQAYPDoiRk4VeUEBjrLkUfW4fIk+c1vZg3gALBQBiLAcGHf7S6llFler5SyVOq5YxOT/HkhX/fDfbdzPRZsPrbtu71zEZ/f+VZdNRnW9yX517+SyZObrQcAoHvpiWkPyy6b/Oxn9ekLY8bU1559Nvnwh5O99komzG0kNQDAYtMTM3D+8Y/k8cfr9QorzHrSGLSjjTeu/801w2GHNVcLQIdb7ABDVVV3JDk3yZpJPj7b3UemTraeVlXVMzMullI2KKVsMLfXLKW8KsmGSW6squryeTzu5aWUkXO6nuTovu3pC/ipdJ9Ro5JVVqnXVZXcd1+z9QAAdCk9MW2llGSffZK//CXZaKPW9TPPTDbdNPnzwv7MAABg/vTEDKjZx0fM+M12aGfjx7d+qfS885KLL260HIBONWKAXmffJJcn+WYpZeckNyfZJslOqY8EO2S2x9/cdzu3ruMjfbfzS9V+JslbSimXJrkvyaQkGyTZNcnwJN9L8pMF/zS60BprJPffX6/vvjtZZ51GywEA6GJ6YtrLxhvXIYb9909O7vuf0d13J696VXLUUcnnPtf65hoAwMDQEzMwjI+gE623XrL33skPf1jvDzusDjEI4AAslAH5blVfunbLJKembkgPSLJOkhOSbFtV1aML+lqllOWS7Jnk2SSnzefhZyW5OMnGqWehfSrJFkl+n2T3qqo+UlU9Puh1rbVa6zvuaK4OAIAupyemLY0bl5x0Un36wjLL1NemTk0OPDDZddfkwQebrQ8A6Cp6YgbM7CcwQKc47LBkRN/vDl96afLHPzZbD0AHGqgTGFJV1X1JPrCAj51r3KyqqseTjF3A1zkrdXPK3Ky3Xmt9663N1QEA0AP0xLStt7892Wqr5F3vSq64or523nnJJpsk//u/yetf32x9AEDX0BOz2CZNSq6/vrUXYKCTrLVW8qEPJSeeWO8PPTR57WudwgCwEJwX2u3WX7+1vu225uoAAACateaa9fGlBx3U+ubZQw/VJzHsv3/y3HONlgcAAEmSv/41mTy5Xr/kJckKKzRbDyysQw5JRo+u11ddlfy//9dsPQAdRoCh2/UPMDiBAQAAetvIkckxx9SnL6y8cuv6N76RbLll/c1iAABokvERdLpVV00+9rHW/pBDkmnTmqsHoMMIMHS7l7yktb7zzlZyFQAA6F0771yHFd70pta1v/+9/gbx176WTJ/eXG0AAPS2/gGGbbZprg5YHAcdlCyxRL2+8cbkjDOarQeggwgwdLsllkhWW61eT5uW3HVXs/UAAADtYaWV6qNMv/vdZGzfeOnJk5PPfa6e0Xrffc3WBwBAb7rqqtZagIFOtdJKyQEHtPaHH55MmtRcPQAdRIChFxgjAQAAzEkpyT77JNddV4+QmOHCC5OXvzz56U+bqw0AgN7z2GPJ7bfX65Ejk002abYeWBwHHJC84AX1+p576vA4APMlwNAL1luvtb7ttubqAAAA2tP66yeXX54cemgyrO+fiU88kbzzncl73lOvAQBgsP3lL631ppsmY8Y0VgostqWXrv+NNcPRRydPPtlcPQAdQoChFziBAQAAmJ+RI5MvfSm55JJkrbVa1884o/7Nt4svbq42AAB6w5VXttZbb91cHTBQ9tknWWONev3II8nXv95sPQAdQIChFwgwAAAAC2r77ZPrr08+8IHWtXvvTXbaKfn855PnnmusNAAAulz/AMM22zRXBwyU0aOTL36xtf/615N//7u5egA6gABDLzBCAgAAWBhLL5384AfJz36WLL98fa2qkv/+72SLLZJrrmm2PgAAuk9VJVdd1doLMNAt3v3uZOON6/UzzyRHHdVsPQBtToChF6y+ep3yS+pk34QJzdYDAAB0hj33TP72t+R1r2tdu+mm+pvJhx+eTJ7cXG0AAHSXu+6qj9hPkmWXTV7ykkbLgQEzfHjy5S+39iedlNx5Z3P1ALQ5AYZeMHx4su66rb0xEgAAwIJaZZXknHOS//mfZNy4+tq0acmXvlQHGf7612brAwCgO/QfH7H11skwP76gi7zpTfW4viSZMqUOhAMwRzqAXrH++q21MRIAAMDCGDYs2Xff+jSGHXZoXb/++mSrreojUKdObaw8AAC6QP/xEVtv3VwdMBhKSb7yldb+xz8WBgeYCwGGXrHeeq21ExgAAIBFsfbayYUXJscfn4wZU1+bMiU57LBku+3q8RIAALAo+p/AsM02zdUBg2X77ZO3vKVeV1Vy0EHN1gPQpgQYekX/ExgEGAAAgEU1bFiy33716Qvbbtu6fvXVyeabJ//93/WICQAAWFBTpiTXXtvaO4GBbnXMMfVpDEny+98nF1/cbD0AbUiAoVcYIQEAAAyk9ddPLrssOfbYZNSo+tqkScnnP5+86lX+3QEAwIK74Ya6l0ySNddMVlqp0XJg0Gy8cfLe97b2X/hCfRoDADMJMPSK/iMkbrstmT69uVoAAIDuMHx4/Q23a69Nttiidf2KK5JNNkm++tVk6tTm6gMAoDMYH0Ev+eIXWyHwK69Mzjqr0XIA2o0AQ69YfvlWavXZZ5O77mq2HgAAoHu89KV1aOGLX0xGjKivPfdcHW7YZpt63AQAAMzNVVe11gIMdLs11kj23be1P/DAeowKAEkEGHrLy1/eWv/1r83VAQAAdJ+RI5PDDkuuvjrZfPPW9WuvTbbcMjnkkDrUAAAAs+t/AsPWWzdXBwyVQw5Jll66Xt92W3Lyyc3WA9BGBBh6iQADAAAw2DbZpP4G9LHHJqNH19emTUuOOSbZdNPkT39qtDwAANrME08kt9xSr4cPnzUMC93qBS+oQwwzjB+fTJjQWDkA7USAoZdssklrfcMNzdUBAAB0txEj6vERN9yQvOpVreu33lrvP/nJ5KmnmqsPAID2cfXVrfXLX56MHdtcLTCUPvWpZPXV6/Ujj9QhcAAEGHpK/wCDExgAAIDBtt56yUUXJd/5TrLkkvW1qkq+/e1k442TP/yh0fIAAGgD/cdHbLNNc3XAUBszJvnyl1v7449P7r23uXoA2oQAQy/ZcMN6Lm2S3HVX8uSTzdYDAAB0v2HDko99LPn735M3vKF1/d57k113TfbeO3n00ebqAwCgWVdd1VoLMNBr9tor2XLLej1p0qxjJQB6lABDLxk1qg4xzGCMBAAAMFRWXz357W+T009PVlihdf1//zfZYIP6tqqaqw8AgKFXVbOewLD11s3VAk0YNiz52tda+9NPT665prl6ANqAAEOvefnLW2tjJAAAgKFUSvLudyc33VT/ptEMjzxSn8Sw887Jrbc2Vx8AAEPr3nuTf/+7Xi+9dB1shV7z6lcnu+/e2n/2s8LdQE8TYOg1m2zSWgswAAAATVhppeQnP0l+/ev6ZIYZLrywDl0feWR9fCoAAN2t//iIrbaqfxsdetFXvpIMH16vL7oo+c1vGi0HoEm6gV4jwAAAALSLt7wl+fvfkwMOaH2zbvLkZPz4Oshw4YWNlgcAwCAzPgJq66+f7LNPa/+5zyVTpjRXD0CDBBh6Tf8Aw403JtOmNVcLAADAkkvWM1+vvnrWb1rfdlvymtfUoyUefri5+gAAGDz9AwzbbNNcHdAOjjiiHqWS1KP1vvvdZusBaIgAQ69ZaaXkhS+s1xMnJnfc0Ww9AAAASbLppsnllyff/nbrm3ZJ8r//W89C/sEPzIEFAOgmU6cm11zT2juBgV634orJoYe29uPHJ48+2lg5AE0RYOhFxkgAAADtaPjw5OMfT26+OXn721vXH3ss+eAHkx13rEdOAADQ+W68MXn22Xq92mrJi17UbD3QDj71qWSdder144/XpzIA9BgBhl4kwAAAALSzVVZJzjwz+e1vkzXXbF2/5JL63zMHHJA8+WRj5QEAMACMj4DnGz26HrE3w4knCnEDPUeAoRf1DzBcf31jZQAAAMzTG99Yf7PuC19IRoyor02blhx3XLL++skZZxgrAQDQqa66qrU2PgJadt89ec1r6vW0acn++/t3D9BTBBh60WabtdZ/+Yu/+AAAgPY1blxy7LHJddclr3516/qDDybveU89VuJvf2usPAAAFpETGGDOSkm+8Y1kWN+P8M47L/nNbxotCWAoCTD0og02SJZeul4/9FByzz3N1gMAADA/G2+cXHhh8uMfzzof+ZJL6pD2/vsnEyY0Vx8AAAvuqaeSm26q18OGJZtv3mw90G5e9rLkIx9p7Q84IJk8ubl6AIaQAEMvGjZs1iO5/vzn5moBAABYUKUk73xncsst9Tfw+o+V+MY36rESp53mlDkAgHZ39dWtnm3jjZMll2y2HmhHX/xisswy9fr225Nvf7vZegCGiABDr9p229ZagAEAAOgkSy+dfO1ryV//muy0U+v6v/+dvO99yQ47JDfc0Fx9AADMm/ERMH8rrpgccURr/8Uv1qdqA3Q5AYZe1T/A0L9ZBAAA6BQbbZScf37yk58kq6zSun7ZZfVYiX33TR55pLn6AACYs6uuaq37nxYMzOrjH0/WW69eT5iQHHJIs/UADAEBhl7Vvym89tpk0qTmagEAAFhUpSR77VWPlfjc51pjJaZPT7773WTddevxElOmNFomAAD9OIEBFsyoUcnxx7f23//+rAEggC4kwNCrVlwxWWedej15cn30KgAAQKdaaqnkq1+t/23z2te2rj/xRLL//snLX578/veNlQcAQJ/770/++c96vcQS9alawNy98Y3JW95Sr6uqPpVh+vRmawIYRAIMvaz/GIk//7m5OgAAAAbKRhsl556bnH128pKXtK7fckv9jb83vrFeAwDQjP6/Pb7llsnw4c3VAp3i+OOT0aPr9dVXJz/4QbP1AAwiAYZeJsAAAAB0o1KS3XZLbryxPpVhqaVa9/3+98nLXlafyvD4483VCADQq4yPgIW3zjrJ5z/f2h94YPLYY83VAzCIBBh6Wf/msH/TCAAA0A1Gj04+97nk9tuTD32oDjYkydSpyTe+kay7bnLiifUeAICh0f8Ehq23bq4O6DQHHpissUa9fvTR5LDDmq0HYJAIMPSyTTZpHTl0553Jww83Ww8AAMBgeOELk+99L7nmmuRVr2pdf/TR5GMfSzbbLDnnnHqeLAAAg2fatPr4+xmcwAALbty4epTEDCeemFx3XXP1AAwSAYZeNmpUssUWrb1TGAAAgG622WbJxRcnZ57Z+s2lpB418YY3JLvsklx/fWPlAQB0vZtuSp5+ul6vskqy6qrN1gOdZo896n+3JMn06cknPiGIDXQdAYZet+22rfVllzVXBwAAwFAoJXn725Obb06OOipZYonWfX/8Y7L55sn735/cf39jJQIAdC3jI2DxlJJ885vJyJH1/vLLk9NOa7YmgAEmwNDrdtihtb7wwubqAAAAGEpjxyaHHJL84x/JRz6SDOv753FVJT/6UbLuuvX9Tz7ZbJ0AAN2k/ynAxkfAoll//WT//Vv7z30uefzx5uoBGGACDL1uhx3qxF5Szx6bMKHZegAAAIbSyisnJ52U3HBD8qY3ta4/91xyzDHJS16SfOc7yZQpzdUIANAt+gcYnMAAi+6ww5IXv7heP/RQctBBzdYDMIAEGHrdcsvVc2CTel7SpZc2Ww8AAEATXvrS5De/Sc4/v/VvpCR5+OHk4x9PXvay5OyzzZcFAFhUzzyT3HhjvS4l2XLLZuuBTrbkkvUoiRlOOim54orm6gEYQAIMJDvt1FobIwEAAPSy17ymPp3utNOS1VZrXb/11mSPPepT7C67rLHyAAA61jXX1L9ElyQbbZQsvXSz9UCne+tbZz1Fbp99kqlTm6sHYIAIMCDAAAAA0N+wYcl73lOHFo49dtZvrl92WfKqVyVveUs9dgIAgAVz1VWttfERsPhKSb797WTs2Hp/ww2znsoA0KEEGKi/+TZ8eL2+/vrksccaLQcAAKAtjB2bfOELyT/+kXzyk8nIka37fvObZNNNk/e+N7nzzsZKBADoGFde2Vpvs01zdUA3WXPN5IgjWvvDD0/uvbexcgAGggAD9W8TzZg3VlXJxRc3Ww8AAEA7WXHF+jeZbrmlPpmhlPp6VSWnn55ssEEdcPj3v5utEwCgnQkwwOD4zGeSl760Xj/zTPLpTzdbD8BiEmCgZowEAADAvK29dnLaafXJdW9+c+v6lCn10a3rrJMcdlgyYUJjJQIAtKV//Su57756PXZssvHGzdYD3WTkyOTEE1v7s85Kfv3rxsoBWFwCDNQEGAAAABbMy1+e/L//l1x6abL99q3rzzyTHHVUHXT42teSZ59trkYAgHZy1VWt9RZbJCNGNFcLdKNXvjL54Adb+09+Mnn66ebqAVgMAxZgKKWsWkr5QSnln6WUSaWUu0sp3yilLLcQr3FRKaWax8eYuTxvo1LKmaWUh0opz5VSbi2lHFlKGTtQn1/X23771jzXG29MHnqo2XoAADqQnhh6zCtfWYcYfvObOtQww2OPJZ/7XH0iw7e/nUya1FyNADDE9MTMUf/xEVtv3Vwd0M2+8pVkhRXq9b33Joce2mw9AItoQGKOpZR1klyeZKUkZye5JcnWST6dZNdSyvZVVT26EC955FyuT53De2+T5IIkI5P8PMl9SV6T5PAkO5dSdq6qyneL5meJJZJtt62/+ZYk55yTvO99zdYEANBB9MTQo0pJ3vSm5A1vSH7603qExJ131vf961/1bz595Sv1Nw8/8IFk1Khm6wWAQaQnZq76n8CwzTbN1QHdbIUVkuOOS/beu95/85vJXnvVP/sB6CADdU7Td1I3pZ+qqupbMy6WUo5Lsn+So5Pss6AvVlXV+AV5XClleJIfJhmXZPeqqn7dd31YkjOTvK3v/Y9d0PfuaW98YyvA8NvfCjAAACwcPTH0smHDkne9K9lzz+SUU+pREv/6V33f/fcn++yTHHtsHXB43/scmwxAt9IT83zTpyd/+UtrL8AAg+e9703OOCM599ykqpIPfSi59lpBaqCjLPYIib5U7S5J7k7yP7PdfUSSZ5K8t5SyxOK+1xy8OsmGSS6Z0ZQmSVVV05N8vm+7TymlDMJ7d583v7m1PuecZMqU5moBAOggemJgplGjkn33Te64Izn++GSllVr33X13PZd2ww2T005Lpk1rrEwAGGh6Yubq1luTJ5+s1yutlKy+erP1QDcrJTnppPrU7ST5+9+TL3+52ZoAFtJiBxiS7NR3e25fQzhTVVVPJflT6uTrAp9RU0p5RynlwFLKZ0opbyiljJ7LQ1/Td3vO7HdUVXVnktuSrJFk7QV975720pe2mscnn0z+9Kdm6wEA6Bx6YmBWY8cm++1Xj5P46ldbs2iT5B//qE9h2Hjj5P/+r/6tRADofHpi5uzKK1vrbbapf8AKDJ4110yOPrq1P/ro5KabGisHYGENRIBh/b7b2+Zy/+19t+stxGv+NMmXk3w9ye+S3FtK2XMw37uUcs2cPpJssBB1d7ZSZj2F4Te/aa4WAIDOoicG5myJJZLPfS656656rMSyy7buu+WWeibtJpskZ57pRAYAOp2emDmbPcAADL5PfKL1/7cpU+pREv69AXSIgQgwLNN3O2Eu98+4vuwCvNbZSd6SZNUkY1M3hV/ue+7/lVJ2HcT3Jkne9KbW+re/ba4OAIDOoicG5m2ppZJDDqnHSBxxRLL00q37brwxecc76hMZzjgjmTq1sTIBYDHoiZmzq65qrbfeurk6oJcMH56cckoycmS9v+KK5DvfabYmgAU0EAGGAVNV1fFVVf2mqqoHqqp6rqqqW6uqOjjJAalrHbRBPVVVbTGnjyS3DNZ7tqWddqqPOk3q3wa6445m6wEA6DF6YuhyyyyTjB9fn8hw8MGt2bRJ/W+w97wn2Wij5NRT69+UAoAepCfuIs8+m9xwQ2u/1VbN1QK9ZuONk4MOau0POii5557m6gFYQAMRYJiRXl1mLvfPuP7EYrzHKUmmJtm0lLLUEL93bxk7Ntl559beKQwAAAtCTwwsnOWXr2fR3n13fTLDUv3+b3377ckHPpCsv37yve8lkyc3ViYALAQ9Mc937bWt06XWX3/WcVrA4Dv44GTDDev1M8/UoySqqtmaAOZjIAIMt/bdzm1+2Lp9t3ObPzZfVVU9l+Spvm2/X08Z/PfuSW9+c2v9m980VwcAQOfQEwOL5gUvSI46qv5NqPHjZ/2m/l13JR/5SPKSl9THvT73XFNVAsCC0BPzfP3HR2yzTXN1QK8aPTr5/veTUur9H/+YnHxyszUBzMdABBgu7LvdpZQyy+v1pWC3TzIxyZ8X9Q1KKesnWS51c/pIv7su6LudfeZZSilrp25Y70ly56K+d09605ta6wsvTB59tLlaAAA6g54YWDzLLZcccUR9IsPRR9cnNMxw333Jxz+erLNOcsIJ9W9OAUD70RPzfFde2VoLMEAzttsuOeCA1v6AA+qwNECbWuwAQ1VVdyQ5N8maST4+291Hpk7CnlZV1czvsJRSNiilbND/gaWUtUopy8/2/JRSVkzyw77tT6uqmtrv7ouT3Jxkh1LKbv2eMyzJV/q2J1aV83AWyqqrtprJqVOTs85qtBwAgHanJwYGzDLL1Me83nNP8tWvJiuu2Lrvn/9M9tsvWWON5EtfSh57rLEyAWB2emLmqP8JDFtv3Vwd0Ou+9KVkg74/bp95JvngB5Pp05utCWAuBuIEhiTZN8lDSb5ZSjmrlPLlUsoFSfZPfSzXIbM9/ua+j/5eneSfpZQ/llJOLqUcW0r5cZLbk2yX5Ookn+//hKqqpiX5QOrk7s9LKT8upRyb5Mokeyb5U5LjB+hz7C3veEdr/X//11wdAACdQ08MDJwll0w+97n6RIbjjktWXrl136OPJocfXgcZPvvZ5IEHGisTAGajJ6bloYdav+U9enTy8pc3Ww/0sjFjkh/9KBnW92PBCy+sx9QBtKEBCTD0pWu3THJqkm2SHJBknSQnJNm2qqoFmUFwTZKfJnlhkrf1vcauSf6W5FNJtq+q6ok5vPeVSbZKcnaSXVI3w8sk+WKS11VVNWkxPrXeteeerfUFFyQPP9xcLQAAHUBPDAyKceOS/fdP7rwz+Z//SdZcs3Xf008nX/96svbayYc/nNxmrDcAzdITM4v+4yM22ywZNaq5WoD6FJQvfKG1/8IXkn/8o7l6AOZixEC9UFVV96VOuS7IY8scrv0tyfsX8b1vSvL2RXkuc7HaaskrXpFcfnkybVryy18mH/1o01UBAPz/9u47TqrqfPz45ywdRBAUsaAoKtgVrNjFXjGW6NcaNTH2HpOosSQae4010dhjTTR2o9ixYkURbKAoojRBQOr9/XFmf3dn2V122dm9szOf9+t1XnPb3Hnmcrnz7Mxzzylq5sSSmkyHDnDMMfCb38Re8i66CIYPj+tmz4Z//ANuuSUWo//+99C/f7bxSpLKljmx/r+qBQybbppdHJJS55wDjz4a/5aYMQN+9St48cW0ZwZJKgJekVS7qsNI3H9/dnFIkiRJkqLWreHAA+H99+MXjwMHpuuSBB54AAYMgB13jL3pOdS3JEnKyuuvp9ObbJJdHJJS7drFoSRatYrzr7wCV1+dbUySVI0FDKrdPvtAyBVBv/ACjB+faTiSJEmSpJyKCthtt/iF40svwc47569/5hkYNCgWM9x9N8yZk02ckiSpPM2bB2++mc5vvHF2sUjK178/nHlmOv/HP8JHH2UXjyRVYwGDarfssrDFFnF6/nx48MFs45EkSZIk5Qsh/t32xBPw3nuw//753b+++y4cdBCsvDJcein8+GNmoUqSpDIyYgRMmxane/aEFVbINh5J+c48E9ZbL07//HP8m2HWrExDkqRKFjCobvvtl07fcUd2cUiSJEmS6rbuuvCvf8GoUXD00dChQ7pu7Fj43e+gVy845RQYMya7OCVJUul74410epNN0p5+JRWHtm1jT23t28f5996DP/0p05AkqZIFDKrb/vvHDzKIXX4NH55tPJIkSZKkuvXpA9dfD199BX/+M/Toka6bNg2uvDJus//+8NZb2cUpSZJK1+uvp9ObbJJdHJJqt8YacMkl6fyll8bhxCUpYxYwqG7du8Oee6bz//xndrFIkiRJkupvySXhrLNibwv/+Ef8grLSvHlw332w0Uaw1Vbw3//GoQMlSZIKwQIGqWU49ljYccc4nSRw8MEweXK2MUkqexYwaOEOPzydvuMOmD07u1gkSZIkSQ3Tvj0ccQR8+CE88QRsu23++pdeioXrq68ON94I06dnE6ckSSoNU6fCRx/F6YoKGDAg23gk1a6iAm69Nd7MCnHouWOPzTYmSWXPAgYt3Pbbw/LLx+kJE+Cxx7KNR5IkSZLUcBUVsPPO8Nxz8M47cNBB0Lp1un7UKDj6aOjVC04/HUaPzixUSZLUgr39dryTG2DttWGxxbKNR1Ldll0Wbr45nf/Xv+Cee7KLR1LZs4BBC9eqFRx2WDp/662ZhSJJkiRJKoD114c774Qvv4zFCosvnq6bPBkuuwz69IG99oIhQ9IfISRJkhbG4SOklucXv8jvjfvooy1olpQZCxhUP1ULGJ58Er75JrNQJEmSJEkFsvzycMklsavYK6+ElVdO182fDw8/DIMGxbsnb7rJ4SUkSdLCWcAgtUxXXRWLmCEOBXPAATBnTqYhSSpPFjCofvr0ga23jtPz5+d3JyRJkiRJatk6d4aTTorDSDz6KOywQ/76jz6C3/42FjycfnrsuUGSJKm6JLGAQWqpOneGu+5Kh5l7/XU4++xsY5JUlixgUP0dfXQ6feONMGtWdrFIkiRJkgqvVSvYbTd4+mn4+GM45hjo1CldP2VKOrzE4MHw3HMOLyFJklJffgk//BCnu3SB1VbLNh5JDbPJJnDBBen8xRfHvw0kqRlZwKD622svWG65OP3993DffdnGI0mSJElqOquvDtddF4cQvPLKtDtZiEULjzwC220Xh5e44QaYNi27WCVJUnF44410euONocKfIKQW57TTYMcd0/mDD4Zx47KLR1LZMXtQ/bVpA8cem85ffbV32kiSJElSqevSJR1e4rHHah5e4phjYNll4zAT772XRZSSJKkYOHyE1PJVVMAdd8Ayy8T5H36AAw+EefOyjUtS2bCAQQ3z619D+/Zx+p13YOjQbOORJEmSJDWPigrYddfYheyIEbHAverwEj/9BDfdBOuvH3+wuP12mDkzu3glSVLzs4BBKg09esBdd0EIcf755+HCC7ONSVLZsIBBDbPkkrHSrtLVV2cXiyRJkiQpG/36wd/+FoeXuOYaWGON/PVvvAGHHRaHITz5ZBg5MpMwJUlSM/r5Z3j33XR+o42yi0VS4227LZx9djp/7rnw0kuZhSOpfFjAoIY74YR0+qGH4PPPs4tFkiRJkpSdLl3g+ONh+PD4ZeYBB8ThBytNngxXXRULHrbdFh54AGbPzixcSZLUhN57D+bMidOrrgrdu2cajqQCOPts2HLLOD1/Puy/P3z3XbYxSSp5FjCo4dZZBwYNitPz58PFF2cbjyRJkiQpWyHAFlvAPffA2LHx78SVV87f5vnnYb/9YIUV4MwzYfToTEKVJElNxOEjpNLTunXM8ZdcMs6PGxeLGObOzTYuSSXNAgYtmrPOSqdvuy1+QSVJkiRJUo8e8LvfwaefwlNPweDBUFHl64fx4+P4uSuvDDvuGHtlmDUrs3AlSVKBWMAglabllotFDCHE+RdfhD/+MduYJJU0Cxi0aLbaCjbbLE7PmQOXXpptPJIkSZKk4lJREQsU/vMfGDMGzjkHll02XZ8k8MwzsVeG5ZaDk0+OQ1FIkqSWyQIGqXRtvz38+c/p/KWXwr//nV08kkqaBQxaNCHELj8r/f3v8S4aSZIkSZKqW355OPfcWMjwn//ADjukd3ABTJwIV10Fa68NG28c/8acOjWraCVJUkN99138nAdo3z5+pksqLX/4A+y6azp/2GEwalRm4UgqXRYwaNHttBP07x+nZ86EK67INh5JkiRJUnFr3ToOKfH00/Dll7FXhhVWyN/mzTfhN7+BZZaBX/0KXn019tYgSZKK1xtvpNMbbABt2mQXi6SmUVEBd94JK60U56dNg733hunTs41LUsmxgEGLLgQ466x0/tpr4dtvs4tHkiRJktRyrLhi7JXhiy9iQcN++0Hbtun6GTPgtttg881h9dVjN7X2/CdJUnF67bV0euONs4tDUtNaYgl46CFo1y7ODx8ORx1lwbGkgrKAQY2z5575vTCcd1628UiSJEmSWpZWreKQEvfdB998A1deCWutlb/NyJHwu9/FoSgGD47j7c6alUm4kiSpBq++mk4PHJhdHJKa3vrrw/XXp/N33x1zeEkqEAsY1DgVFXDRRen8LbfEL5YkSZIkSWqoJZeEk06CDz6IXVH/5jfQuXO6fu5ceOSR2FXtssvCscfG7bzjS5Kk7MyaBW+9lc5vtll2sUhqHocfDr/+dTp/+umxVzVJKgALGNR4228PgwbF6Xnz4Mwzs41HkiRJktSyhQAbbQQ33QTjxsE//xmHkqhq0qR459cmm8QhJi68EL76Kpt4JUkqZ++8k/aM1KcPLL10tvFIah7XXpv2uDJ/Puy/P3z6abYxSSoJFjCoMKr2wvDQQ/D669nFIkmSJEkqHZ06wWGHwcsvw6hRcPbZsOKK+duMHBmL6Xv3jgX2t98OP/2URbSSJJWfqsNH2PuCVD7atYu/By2/fJyfMgX22AN+/DHTsCS1fBYwqDA22AD22y+dP/74WHEnSZIkSVKhrLoqnH8+fPEFvPAC/OpXsNhi6fokgSFDYsHD0kvDIYfAs8/G3gIlSVLTsIBBKl89e8LDD0P79nH+k0/gwAPNvyU1igUMKpy//jVW3AG8/Tbcemu28UiSJEmSSlNFBWy1Vfy7c/x4uPtu2GGHuLzSjBlw551x2MMVV4zj8r77bixykCRJhZEkFjBI5W7AgPzfgx5/HM46K7t4JLV4FjCocFZeGc44I53//e/jmKSSJEmSJDWVjh3h//4Pnn4avvoKLr4Y1lgjf5tvvoHLLoP+/WH11WMvDo7PK0lS4332GfzwQ5zu2jV+zkoqPwcckP/70EUXwV13ZRePpBbNAgYV1hlnpGORTpwIf/pTtvFIkiRJksrHcsvB734Hw4fDsGFwwgmw5JL524wcCeecA6utBhttBFddBePGZRKuJEkt3tCh6fTAgfm9IUkqLxdcALvums4fcQS89FJ28UhqscwmVFgdO8KVV6bzN9wAb76ZXTySJEmSpPITQuxt4eqr4dtv4Ykn4KCDoFOn/O3eegtOPjkWPgwaBLfcApMnZxOzJEktkcNHSKrUqlUc2q2yN7TZs2GvvWDUqGzjktTiWMCgwhs8OI49CjB/fqyymz0705AkSZIkSWWqTRvYeWe48074/nu4917YY4+4vFKSwJAhcOSR0LNn/KL1/vthxozs4pYkqSWwgEFSVV26wOOPw9JLx/lJk2KvDBMmZBuXpBbFAgYVXghw442xNwaIXXdeeGG2MUmSJEmS1LEj/PKX8Mgj8N138Pe/wzbbxL9jK82eDQ8/HLfr0QP23x8eeshiBkmSqps0CT7+OE63bg0bbphtPJKKQ+/e8Oij0KFDnP/ss3jj688/ZxmVpBbEAgY1jZVWyi9auOAC+PDD7OKRJEmSJKmqbt1ijwtDhsDXX8Pll8MGG+RvM3063Hcf7LOPxQySJFX32mvpdP/+6Q1tkrThhnE4icpC4VdfhV/9KvbaLUkLYQGDms5xx8Gmm8bpuXPh0EMdSkKSJEmSVHyWWw5OOQXeegtGjoRzz4W+ffO3qamY4d//hpkzMwlZkqTMVR0+YuDA7OKQVJz22gsuuyydv/deOOus7OKR1GJYwKCm06oV3HILtG0b5999F84+O9uYJEmSJEmqy2qrwTnnwIgR8MEH8e/Y2ooZ9t4blloKDjjAYgZJUvmpWsCw2WbZxSGpeJ18MhxzTDr/17/C3/6WXTySWgQLGNS0Vl8dLroonb/00tg9pyRJkiRJxSwEWHttOP/8hRcz3HtvWsyw//5w//0wbVo2cUuS1Bxmz4Y330znLWCQVJMQ4OqrYZdd0mUnnBDzZUmqhQUManonngg77BCnkwQOPhgmTsw2JkmSJEmS6qumYoazzqq9Z4Zf/jIWM+y+O9x6K0yYkE3ckiQ1lXffhZ9/jtMrrQTLLJNtPJKKV+vWsWBhk03ifJLAQQfBs89mG5ekomUBg5peRQXcdhssuWSc//ZbOOQQmD8/07AkSZIkSWqwymKGP/+57mKGWbPgscfgiCNg6aVh663j3WdffZVJ2JIkFZTDR0hqiE6dYm68+upxfs4c2GsvGDYs27gkFSULGNQ8llkm3nVS6Ykn4IILsotHkiRJkqTGqqmY4dxzYd1187ebPx9efBFOOglWXBE22CD+Tfzxx/EONEmSWhoLGCQ1VPfu8PTTsPzycf6nn2DnneHTT7ONS1LRsYBBzWf33eH009P5c86JH1aSJEmSJLV0lcUM55wD770Hn38Ol10Wf9QJIX/bYcNirw1rrgn9+sHvfw+vv25PhZKkliFJLGCQtGh69Yq/Cy2xRJz/4QfYcUf45pts45JUVCxgUPO68MLYbSbERPf//i9+qSNJkiRJUilZeWU49VR45ZU4lOKNN8YvZ9u0yd9u1Ci4+GLYdNPYe+Hhh8PDD8P06ZmELUnSQn3xBYwfH6e7dIkFeZJUX2usAY8/Dh06xPkvv4TttoPvv882LklFwwIGNa/WreHee2HZZeP8pEmw224wZUqmYUmSJEmS1GR69oSjjoKnnopfzN59N+y9N3TsmL/d99/DP/8ZxwPu3h122QVuuAHGjs0mbkmSalK194VNN4UKf2aQ1ECbbgoPPhh/MwL45BPYfvv4m5Gksmdmoea39NLw0EPQrl2c/+QT2G8/mDMn27gkSZIkSWpqXbvG3ggffBAmTIBHHoFf/QqWWip/u1mz4Mkn4ZhjYle7/fvH4SneftuhJiRJ2XL4CEmFsMsucM89aRHUBx/EHst+/DHbuCRlzgIGZWOTTeJdJZX+9z84/vg4rIQkSZIkSeWgQwfYYw+49VYYNw6GDoU//AHWWmvBbd99F84/HzbcMBY0HHUUPPaYQ01IkpqfBQySCmXffeG22yCEOP/227Drrua4UpmzgEHZOeCAePdIpZtugvPOyy4eSZIkSZKy0qpV7Er3wgvhww/j+OLXXBPHA27TJn/bb7+Fm2+G3XePQ03suCNcfTV8+mk2sUuSysfEifDRR3G6dWvYaKNs45HU8h18MNx4Yzr/6quxyHfmzOxikpQpCxiUrXPOiV1nVjrvPLjuuuzikSRJkiSpGKy0Uuyp8H//i0NN3H9//HK3W7f87WbNgmeegZNOgtVWg1VWgRNOiMNP+KWvJKnQXn45nd5gA+jUKbtYJJWO3/wGrrwynR8yBAYPNp+VypQFDMpWCHEoiR13TJcdf3wc90iSJEmSJMHii8fude+4A8aPh5degtNPhzXXXHDbzz+Ha6+NYwp36xa74P3b32KPDpIkNdaLL6bTW22VXRySSs9JJ8XeyCo980zscWzGjMxCkpQNCxiUvbZt4aGHYOON43ySxLtK7r8/27gkSZIkSSo2rVvDFlvAJZfA8OEwZkzscnePPRa8C/bnn+GJJ+KNAn36QN++cPLJ8NRTfhEsSVo0VQsYttwyuzgklaY//AHOPTedf+65WJD700+ZhSSp+VnAoOLQqRM8/nh698j8+XFoiYceyjYuSZIkSZKK2QorwFFHwSOPxHHJn30WTjkFVl99wW1HjYKrroKdd4YlloBBg+Dii+Gdd+Lf4ZIk1eXHH+G99+J0RQVsvnmm4UgqUeecA3/5Szr/wguxd7Fp0zILSVLzsoBBxaN791hN169fnJ83D/bfH+67L9u4JEmSJElqCdq1i0UJl18OH38MX34J118Pu+0GHTvmbzt7dhxb+Pe/hwEDYOml440E//wnjB2bTfySpOL2yiux91yA9dePQxxJUlM488xYaFvp5Zdhp51g6tTsYpLUbCxgUHFZeun4Bcpqq8X5uXPhgAPglluyjUuSJEmSpJamd284+mh49NHYO8PTT8exhSt7P6xqwgT417/g8MOhVy9YY4247eOP22WvJCmqOnzEVltlF4ek8vC738XC3EpDh8L228OkSdnFJKlZFKyAIYSwfAjh1hDCtyGEWSGE0SGEq0IIS9Tz+Z1CCAeGEO4JIXwSQpgeQpgWQng7hHBqCKFtLc9L6mivF+r9qRktsww8/3za3WWSwJFHwhVXZBuXJEnSQpgTS5KKVvv2sMMOcOWVMHx47GXhttvgwAOhR48Ftx8xAq6+Ovbe0K0bbL01XHghvPVW7DFRkmphTlzCqhYwbLlldnFIKh+nnBJz0kpvvhmvP998k11Mkppc60LsJITQBxgK9AAeAT4BNgJOBHYKIWyWJMnEhexmC+AuYBLwPPAwsASwB3AZ8IsQwqAkSX6u4bljgNtqWG6fhy3VssvGhHinneJYnACnnhq/YLnssjjGmiRJUhExJ5YktSjLLQeHHhrb/PnwwQfwv//BM8/ELnpnzUq3nTMn/o3+4ouxO98lloh33m67LWyzTezRIYTs3oukomFOXMKmTYNhw+J0CLDFFtnGI6l8nHACtG0LxxwTb3j96CPYfPOYu66yStbRSWoCBSlgAK4nJqUnJElybeXCEMIVwMnABcBvF7KP74CDgAeSJJldZR+nAS8AA4FjgctreO7oJEnObUT8KkZLLRWHk9h99/jlCcQ7Rb7+Gu68M949IkmSVDzMiSVJLVNFBay3Xmynnw4zZ8a/wysLGj74IH/7yZPh4Ydjg9iDw9ZbpwUNq65qQYNUvsyJS9Vrr6U98Ky9duydR5Kay29/C126wCGHxKHHR4+ORQxPPw3rrpt1dJIKrNG3seeqancARgPXVVt9DjAdODiE0Kmu/SRJ8l6SJHdXTUpzy6eRJqNbNzZetTBdusQPoF/8Il324IPxTo+xFk5LkqTiYE4sSSopHTrE4SYuvRTefx/GjYs3EhxyCPTsueD2338P998fv1ju2xd69YKDD4Z//hPGjGn++CVlwpy4xFUdPmKrrbKLQ1L5OuAAeOSRmKsCjB8fr0evvJJtXJIKrhD98G+Te3wmSZL5VVfkkspXgY7AJo14jTm5x7m1rO8aQjg8hPDHEMKxIYTGvJaKTYcO8YuQE09Ml735JgwYkJ84S5IkZcecWJJUunr2hIMOgttvh2+/hREj4LrrYJ99oHv3Bbf/5hu46y44/HDo3RtWXhmOPBLuvjs+X1KpMicuZc8/n05vuWV2cUgqb7vsEnsI69Ilzv/4I2y/Pfz3v9nGJamgCjGERN/c46ha1n9KrLxdDXhuEV/j8NzjU7WsXxe4peqCEML7wMFJknxYnxcIIQyrZVW/ekWoptWqFVx1FfTpAyefHLsr+/57GDQIrrgCjj/e7iklSVKWzIklSeUhBOjXL7ZjjoH58+HDD+MPW0OGxBsNpk7Nf86XX8Itt8QGsZeGLbeM46dvuSWsuGLzvw9JTcGcuFRNnRpvKKu0zTa1bytJTW3zzWPOueOOsReGn3+GvfaCa66BY4/NOjpJBVCIHhhyZU78WMv6yuVdF2XnIYTjgJ2A94Bba9jkCmAzYCmgM7Ah8CAxWR0SQlhuUV5XRer44+G55+L4mhALGU48MXZjOWNGtrFJkqRyZk4sSSpPFRVx3OGTTop3vk2cGH/kuvji+KVyx44LPmfkSPj73+Pf8r17xwKGgw6Cm2+GTz6BJGnudyGpMMyJS9XLL8fvYQHWW6/m3nckqTmtuy68+mrs6QtiUe1xx8Fpp8VpSS1aIXpgaDIhhF8AVwHfAXsnSTKn+jZJkpxabdHbwL4hhAeBvYHTgJMX9lpJkgyoJYZhQP+GRa4mtdVWMGwY7L13Wvl7113xjo977oE11sg2PkmSpAIyJ5YktSitW8OGG8b2u9/B7Nnw1ltpDw1Dh8KsWfnP+eqrOLzE3XfH+aWWSntn2GKL+AV1q1bN/14kFQ1z4owNGZJODxqUXRySVFWfPvDaa7DHHvDGG3HZ5ZfDmDFwxx1xeHJJLVIhemCorJztUsv6yuVTGrLTEMJg4F7ge2DrJEm+aGBcN+YeHZCrFC2/fOwi6Mgj02Xvvw8DBsC111phJ0mSmps5sSRJNWnbFjbbDM46K/4ANmVK/Hv+L3+BHXaATp0WfM4PP8C//x17dRgwALp1i+MdX3RRvNOuegGEpGJhTlyqnqsy4se222YXhyRV16NHzDEHD06XPfggbLcdTJiQWViSGqcQBQwjc4+r1bJ+1dxjbWOfLSCEsC/wADAe2CpJkpELeUpNfsg91vCXsEpC+/axy8mbboJ27eKyn3+GE06AnXeGb7/NNj5JklROzIklSaqP9u1jzwpnnglPPx0LGt56K94tt+eesVihuqlT4ckn4Q9/iGMed+0ae2Y44wx45BH4/vvmfheSamZOXIomTIg3jkHsDWeLLbKNR5Kq69gxFi2ceGK6bOhQ2GQT+Oij7OKStMgKUcDwfO5xhxBC3v5CCJ2J447NAF6vz85CCAcC/wK+JSalny5iXJvkHhtakauW5je/gbffjl1KVnrmGVh77fihJUmS1PTMiSVJWhStW8MGG8App8DDD8feF4YPh+uvhwMOgGWXXfA5P/8Mr7wCl1wS77ZbemlYbTU47DC4+eb4fHtmlLJgTlyKXnghnd5oI+jcObNQJKlWrVrBVVfBlVdCCHHZ55/DppvCo49mGpqkhmt0AUOSJJ8DzwC9gWOrrT6PWNl6Z5Ik0ysXhhD6hRD6Vd9XCOFQ4A7gK2DLhXUHFkJYJ4TQpqblwAW52bvq/27UYq21Vhzj6He/Sz+cJk2CffeF/fazNwZJktSkzIklSSqQigpYc004+mi45x4YOzZ++XzbbXD44bDKKjU/79NP4fbb4aij4g0N3brBTjvB+efDs8/CtGnN+jakcmROXKKGDEmnBw3KLg5Jqo+TTopDkVUOUzZtWuzl66KLIEkyDU1S/bUu0H6OAYYC14QQBgEjgI2BbYhdgp1ZbfsRucdQuSCEsA1wK7Go4nngVyGEak9jSpIkV1WZPwXYPYTwMvA1MAvoB+wEtAL+TqzSVTlo1w4uvjiOi3nIIfDVV3H5Aw/EbikvuCB+AdKqVbZxSpKkUmVOLElSoYUAK68c26GHxmXjx8Nrr8WugYcOjb0yzpqV/7wff4zfBTz9dJyvqIiFDQMHxrbxxrEYYsHPWUmNY05cap57Lp3edtvs4pCk+ho8OOaIe+wBY8bEwoU//AE++ABuuQU6dMg6QkkLUZAChiRJPg8hbACcT0wKdwHGAVcD5yVJMrkeu1mRtEeIw2vZZgxwVZX5h4HFgXWAbYH2wETgSeDvSZL8t0FvRKVhq63iB9FJJ8U7NCCOl3n88XDHHXDTTbD++llGKEmSSpA5sSRJzWTppeMX04MHx/lZs+Cdd9KChldfjUUOVc2fH8dwf/99uOGGuKxbt9gd+kYbxYKGjTaCJZdszncilRxz4hIzdiyMGhWn27WLXbFLUkuwzjrw1luxl+4XX4zL/vWveE176CFYccVs45NUp5DYZUqdQgjD+vfv33/YsGFZh6JF8cIL8NvfwsiR6bKKCjjuOPjTn6B798xCkySpFA0YMIB33nnnnSRJBmQdiwrHnFiS1KIkCYwenRY0DB0ab3SYP3/hz+3TJy1m2HhjWG89aN++qSNWiTEnLk1lmRPffjscdlic3nbb/N4YJKklmDMHTjgBbrwxXdatG9x9dxxuTFKTaUxOXLHwTaQWbOut490V550Xq4QhfmFxzTWxq8jLL1+wm0lJkiRJktRyhQArrQQHHgjXXQfvvgtTpsD//he/H9hpp/jFdU0+/xzuuSf26rjpprD44rGY4bjj4M4741173gwkqVxUDsMDsP322cUhSYuqTZvY+9b110PrXKf0kybFocjPOQfmzcs2Pkk1soBBpa9du9jbwocfwqBB6fIpU+C002D11eG++/wCQpIkSZKkUtW5M2y3Xfx+4MknYcIE+PRTuOuuOOTkxhtD27YLPm/OnNj98HXXwSGHQN++sTfH7bePYyk/9FDs7cHvFCSVmvnzY+FXpR13zC4WSWqso4+OQ0ksu2ycTxI4//xYyDBhQraxSVqABQwqH6uuGpPuf/879r5Q6csvYf/9450Vzz7rlw6SJEmSJJW6EOJ3AwceGHtpfP11mDoV3ngjzh90UPweoSaTJ8fvDy66CPbZJ/b2sNRS8ce9M8+M3zuMGeP3C5JatnfeSX/U69ED1l0323gkqbEGDow9c1W90fWZZ2D99eG117KLS9ICLGBQeQkB9toLPvoofiHRvXu67o034h0UW2xhIYMkSZIkSeWmXbs4XMTxx6fDRUycGHtsOO+8eIde1e8Rqpo4MX4BfuGFsPfe0Lt3/MFv553hrLPg4Yfh66/9rkFSy1F1+IgddoAKf0qQVAJ69IjXtzPPTJeNHRt/F/rLXxxSQioSrbMOQMpE27bxC4mDD4a//hWuugpmz47rXn01FjJsthmce26sxgshy2glSZIkSVIWunWDnXaKDWIBwpdfwrBh8Pbb6eOPPy743AkT4KmnYqu01FKwwQbQvz+st16842+llfxhUFLxqVrA4PARkkpJq1axWGHTTeNvRJMnx8KFs8+ON7fedRcsv3zWUUplzQIGlbeuXeHii+G442Ihwz/+Ece3hLSQYaON4NRT4Re/gNb+l5EkSZIkqWyFACuvHNu++8ZlSQKff55f1DBsWBySoroffog9Ojz5ZLqsc+fYNfv668eihvXWgzXXjD1CSFIWpk7N7059hx2yi0WSmsquu8J778UhxV55JS578UVYZx245ZbYm7ekTFjeLQH06gXXXx+/cDj6aGjTJl335pvwy1/GsS+vuQZ++im7OCVJkiRJUnEJAVZZJX53cOmlMGRIvJNv1Cj417/iTRFbbRULFWoybVr80vzaa+GII2DAAFhssVjUcOihsdfIF16I+5Sk5jBkCMydG6fXXz92uS5JpWiFFeD552Nv3JU9Yk2eHG9oPeoofw+SMmIBg1RV9UKGqnc7jB4NJ54Yt/n97+O8JEmSJElSdRUV8UaI/feHyy6LBQhTpsAnn8Ddd8Ppp8N220H37jU/f+5c+OADuOMOOPlk2GabOJzFSivFuwHPOw8eeQS++ir2ACFJhfTMM+m0w0dIKnWtW8M558TeF1ZYIV1+882xN4YXX8wuNqlMWcAg1aSykGHMGPjTn/K/UJgyJQ47sfLKsNtu8MQTcXwkSZIkSZKk2lRUQN++8H//B5dcAv/7XxxSYuxYePRR+POfYe+94/cNtRk9Gh5+ON4lOHgwrLhiLGzYYgs45hi44YbYm8OPPzbPe5JUepIEnn46nXf4CEnlYvPN45ASlcOEAXz5ZSwkPflkmDkzs9CkctM66wCkorb00vGuhjPOgNtvhyuugM8+i+uSBB5/PLbevWN3QocdBj17ZhmxJEmSJElqKUKA5ZaLbbfd0uU//hh7YHj33fhF+nvvwfDhMGfOgvuYMiUWLVSO3VypVy9Ye+381q8ftG3bhG9IUos3ciR88UWc7tQJNtss23gkqTktsQTcdx/suSccd1zMs5IkDun15JPxd6KNN846SqnkWcAg1UfHjnFIid/8JhYsXH99fiXy6NHwhz/AWWfBTjvFQobdd88fgkKSJEmSJKk+unSJvSpssUW6bPZsGDEiLWioLG6orbeFr7+O7Ykn0mWtW8deIKoXNqy4YiymkKRHH02nd9jBoidJ5ScEOPBA2HprOPJIeOqpuHzkSBg4EE46Cc4/PxZ5SWoSFjBIDdGqFeyxR2yffQY33QS33gqTJsX18+alvTJ06xa7hTz4YNhwQ78IkCRJkiRJi65tW1h33dgOPTQuS5I4BMWHH+a3ESNq7q1h7lz46KPY7r03Xd65M6y1VmxrrJG25Zbz+wyp3FQtYNh99+zikKSsLbdcLAT9xz/glFPgp59g/vzYU/dDD8GNN8YbWiUVnAUM0qJaZRW49NJYaffAA3DLLfDSS+n6SZPgb3+LrXdv2G8/+OUvYf31/eNfkiRJkiQ1XghxqIhevWCXXdLlc+bAqFELFjaMHl3zfqZNg9dei62qzp3zCxoq2worQEVFk70tSRmZOBFefTVOhwC77pptPJKUtRDg17+G7beHI46AIUPi8jFjYOed402sV14JPXpkG6dUYixgkBqrQwc45JDYPv8c7rgjjoM0Zky6zejRcMklsa2ySlrMsPbaFjNIkiRJkqTCatMG1lwztv33T5dPnRp7X6he2FDZs2R106bBG2/EVlXHjrD66gsWNqy0Uuy9UlLL9OST8e5iiGO8+4OcJEW9e8Ozz8bffk49Nc2d7rknDjFxySXwq19Z4CkViAUMUiH16QPnnQfnnAMvvhiLGf7zn/zxKD/7DC68MLa+fWGffeKQFBts4IebJEmSJElqOosvDptuGlulJIFx49KhJz7+OLaPPoIpU2rez4wZMGxYbFW1awf9+sVihr59Y+vXD1Zd1XGipZbgscfSaYePkKR8IcBhh8Ver045Be6+Oy6fNAmOPBJuvjn2yL3hhpmGKZUCCxikplBRAdtsE9uNN8L//gf33QePPBLvXqg0ciRccEFsSy8du2XbfXfYbjtYbLHs4pckSZIkSeUhBFh22dh23DFdniQwfnxa0FC1/fBDzfuaNQvefz+26nr1SosaqhY3LL+8N3RIxWDOnHgXcSULGCSpZj16wF13wUEHwdFHp0N0vflm7L3miCPiDaxLLZVpmFJLZgGD1NTatYPddovt55/jHwL33w///S9Mn55uN3483HprbO3axeKH3XePRQ0rrphd/JIkSZIkqfyEAD17xrbttvnrfvghv7eGyjZuXO37+/rr2J59Nn95hw6w2moLFjf07QudOxf+fUmq2csvp73IrrgirLVWtvFIUrHbaScYPhwuuigOITF7diwA/cc/4MEH4c9/hqOOikN7SWoQCxik5tS+PQweHNuMGbGY4dFH4fHH8+9emDUrrnvqKTj22PiH/HbbxbbNNtC1a0ZvQJIkSZIklb2lloptyy3zl0+eHAsbRoyIvU5+8kl8/OILmDu35n3NnFl7rw3LLhsLGVZdFVZZJX3s0ycWPkgqnEcfTad33z0WMUmS6tapUyxUOPRQOPnkdCieKVPg+OPjkBKXXOJ1VWogCxikrHTsCL/4RWzz5sXuhR57LP6x8OGH+duOGhXb9dfHbhU33DAtaNh009hjgyRJkiRJUpaWWAIGDoytqjlzYhHDyJFpqyxumDCh9v19+21szz+/4Lrll08LGqoXN3TsWNj3JZW6JIF//zud32237GKRpJZolVXibzuPPQYnnQSffx6XjxwJe+4JW20Fl10GG2yQaZhSS2EBg1QMWrWKhQibbgoXXBDHTHr88fiB9+KLceiJSvPnwxtvxHbBBfGOg002gS22iHc+bLJJrPqTJEmSJEkqBm3apMNCVDdpUn5hQ2Vxw2efxcKH2owdG1tNxQ3LLbdgrw2rrmpxg1Sbt96Cr76K00ssseCwMZKk+tltt3jj6dVXw4UXwtSpcfmLL8YbUw88MPbYsNJK2cYpFTkLGKRi1Lt3HDri2GNj8cLQoXGMyP/9D4YNi1XRlWbOjH+sV/7B3ro19O+fFjRsvjl065bJ25AkSZIkSapTt27pTR1VzZ0bb/AYNSoWM3z6afo4enTszbI233wT2wsvLLhuo43iTSGSUg8+mE4PHux47ZLUGO3bwxlnwOGHw/nnw403pkNp3X033HcfHHkknHVWLLqUtAALGKRi1759rHredttYsTdpUixWqCxoqOyKqNLcuXE4ijffhMsvj8v69oWNN469M2y8May9tn+ISJIkSZKk4tW6dTo8RHVz5sQihqpFDfUtblhssaaKWGqZkgQeeCCd32ef7GKRpFKy1FJw7bVw3HHw+9/Dww/H5XPnxqKG226DY46J65ZaKstIpaJjAYPU0nTrBnvvHRvE7hJffjm2l16Cjz5a8DmVXTDecUec79ABBgxICxo22ABWXBFCaL73IUmSJEmStCjatIlDQqy66oLrKosbKgsaqhc31PQcqZwNGxb/bwB07Rq7PpckFU7fvvCf/8TfcM48Mz5C7H37iivgppvghBPg5JMtZJByLGCQWrrll4cDDogNYOJEePXVtKDhnXfS7okqzZwJr7wSW6UlloD114+tf//4uNpq0KpV870XSZIkSZKkxqha3LDzzvnr5syBGTOyiUsqVlWHj9hzT2jbNrtYJKmUbbEFvPhi7Fn7zDPh7bfj8unT4a9/hauvhqOOgtNOg2WXzTZWKWMWMEilpnt32GOP2CAWK7z7Lrz+ehzj8fXX4auvFnze5MkwZEhslTp2hHXXTQsa1l8f1lgjDmshSZIkSZLUkrRpA126ZB2FVDwcPkKSmlcIsMMOsP328MgjcPbZMHx4XDdjBlx5JVx3HRx+OJxxBvTunWm4UlYsYJBKXYcOMHBgbJW++y4tZnjzzVjgMHnygs+dMQNeey22ShUV8S6GtdbKb6usEsenlCRJkiRJklT83n0XvvgiTi++ePxBTZLU9EKAwYPjjagPPQQXXADvvx/XzZ4NN94If/877LcfnHpqHBJcKiP+2iiVo549Y5dwe+4Z55MExoyJf7S8805s774L48Yt+Nz582HkyNgeeihd3rYtrL56LGZYc83Y+vWDlVaKdzhIkiRJkiRJKh53351O77EHtGuXXSySVI4qKmDffWMPOI8/Dn/5S7z5FGDePPjXv2LbaqtYyLDrrvE5UomzgEFSrPbr3Tu2vfZKl3/3XX5Rw/vvx6rsJFlwH7Nnx/WVVYKVWreGPn2gb99Y0NC3b9qWXLIp35UkSZIkSZKkmsydm1/AcOCB2cUiSeUuBNhtt1igMGQIXHhh/nDfL74YW9++cPzxcPDBseccqURZwCCpdj17ws47x1ZpxgwYMSKOy1S1jR1b8z7mzk17bPjvf/PXdesWP3BXWy0WOVRt3bvHD21JkiRJkiRJhfX00zB+fJxeZhmHj5CkYhACDBoU2zvvwOWXw333xd4YIP7OctxxcMYZcNBBcPTRsO662cYsNQELGCQ1TMeOcbyl6mMuTZkCH30Uixk+/BA++SS2b76pfV+TJsFrr8VW3eKLx0KGlVdesLihVy9o1aqgb0uSJEmSJEkqG7ffnk4fdJDftUlSsenfP/aUc9FFcM01cPPNMHVqXDd9Otx0U2wDB8ZChn32gfbts41ZKhALGCQVRteusNlmsVX1008walSsDPzkk7Q3hpEjYebM2vc3dWocvuLddxdc16ZNHO5ixRXz2worxMfll4/bSJIkSZIkSco3eTI88kg6f+ih2cUiSapbr15w6aVw9tlw551www3xZtJKQ4fGdvLJcPjhcOSRsOqq2cUrFYAFDJKa1mKLxUrB/v3zl8+fH4edGDkSPvsMPv88ti++iI/Tp9e+zzlz4NNPY6tJRQUsu2xa0FC1uGGFFWC55WLBhUNUSJIkSZIkqdzcdx/Mnh2nBwyANdfMNh5J0sItvjgceywccwy8/HIsZHjoofh7CcCECXDJJbENHAiHHAK//GX8LURqYSxgkJSNiopYTLDCCguOsZck8P33+QUNVQscvvuu7n1XFkeMHRsrD2vSoUMsZKirLbOMPTlIkiRJkiSptNxxRzp9yCHZxSFJargQYMstYxs/Hm65JQ4l8dVX6TaVvTKceCLssUfsaWfHHaG1PwurZfBMlVR8QoCll45t4MAF10+fDl9+CWPGpO2rr9LpceNiEURdZs6MPT989lndcfTosWBhQ8+eaauMs23bxr1nSZIkSZIkqakNHw6vvRanW7eGAw7INh5J0qJbemn44x/hjDPgiSfgH/+Ij3PnxvWzZsEDD8TWowcceGBs/fvbQ7WKmgUMklqeTp1grbViq8ns2bH3hZoKHL7+Gr75pu4hKiolSaxgHD8e3nmn7m27dYvJQvXihurTSy0FrVo1/D1LkiRJkiRJjfW3v6XTe+4Zv6uSJLVsrVrB7rvH9v33cO+9cPvt+b9rfP89XHllbCutBPvsA/vuCxtsYDGDio4FDJJKT9u2sPLKsdUkSWDq1FjIUFcbP37hPTlUmjQpthEj6t4uBOjePf5xuNRSsOSS6XRt8+3aNez9S5IkSZIkSdVNngx33pnOH398drFIkppGjx5wwgmxDR8ehw26667Yc3WlL7+ESy+NbcUV02KGjTaymEFFwQIGSeUnBOjSJbY11qh9uzlz4Lvvai5sGD8+rvvuu1i5OH9+/V47SWDChNgWVuxQqXPn2oscunePvT9Ub+3b12/fkiRJkiRJKg///CfMmBGn1147jp8uSSpda60Fl1wCf/0rPPss3H03PPJIvMGz0pgxcPnlsfXqBXvtBbvtFj8jvLlSGbGAQZJq06ZN/MDu1avu7ebNg4kT04KGqsUN1acnTGh4HNOmxfbFF/V/TocONRc21FbwUNk6drTCUpIkSZIkqdTMmwfXXZfOH3+83wFJUrlo1Qp23DG2WbNiMcMDD8RihilT0u2+/hquuSa2xRaDHXaIxQy77BKHyZaaiQUMktRYrVrFbpl69IB11ql72zlzYrHDDz+kbcKE/PmqyyZMiH9gNtTMmWmPEQ3Rti0ssQR07Rp7qGjoY+fOUFHR8HglSZIkSZLUdJ58Mr05Zokl4MADs41HkpSNdu1g111jmz0bnnsuFjM8/HAcaqjSTz/Bv/8dG8CGG8Zihp13hv794+8iUhOxgEGSmlObNtCzZ2z1MX9+rICsqcjhhx9iQjFpUn6bOBHmzl20+GbPTofIWBQhwOKLL7zQYfHFY+vcObbq0+3aeReAJEmSJElSoVx1VTp9xBGxF05JUnlr2zYWJOy8M9x0E7zwAjz2WGzVe4R+663Yzjknfs+/7bYwaBBstx2suqrf56ugLGCQpGJWUZEO77DaavV7TpLA9OkLFjbUp82c2bh4kwR+/DG2xmjdesHChpoKHeoz7bAYkiRJkiSpnL3ySrzDFuJ3Tccck208kqTi06YNbL99bFddBSNHxkKGxx+Hl1/O7yl6ypT83hmWXz4tZth2W1h22SzegUqIBQySVGpCiONTLbYYrLBCw547c2YsZKgsQpgypWGPP/1UmPcwd27sXaJql1WLKoRYxLDYYtCpU2w1TS9sfU3btmnT+PgkSZIkSZKa0jnnpNMHHwwrrZRdLJKk4hcC9OsX22mnxe//n3kmFjM8+yx8+23+9mPHwu23xwbxc2aLLWDzzWPr18+bDNUgFjBIklIdOsByy8W2KObOhalT6y50mDIFpk2L202blrbK+alTYc6cgr2l/98jxfTphdtnpTZtai926NQpHs+OHWOrnK5pWV3rHU5DkiRJkiQtqpdegiFD4nSrVnDWWdnGI0lqebp2hf32iy1J4JNPYiHDc8/B88/H7/Sr+vLL2O64I8537w6bbRaLGgYOhPXXj999S7WwgEGSVDitW6dDXjTGrFkLFjbUVfRQ13Rjh8Woy5w5hespojYhNLzooaZl7dvnt5qWVbaKiqZ7P5IkSZIkqfmce246ffDBsMoqmYUiSSoBIcDqq8d2/PHxpsZhw9KChtdfX/A7+YkT4b//jQ3i7whrrw0bbggbbRQf11gjLpewgEGSVIzatYttySUbv69589IeGKZPj8Nc1Hd6YeurjvvVVJIEZsyIrbm0aVN3gUOh1lX+O1dtbdvGRNVeJyRJkiRJapznn48N7H1BktQ0WreGjTeO7cwzYfZsePddeOWVtE2YkP+cuXPjNu++CzffHJd17Aj9+8MGG8QeGtZdNxZJtG3b/O9JmbOAQZJU2lq1gsUXj62QkiQmY7UVPsycmRYe1DS9sPWV07NnFzbu+pgzJ7bqXX81lxBqLmyoreChpuWL8pyF7cuiCkmSJElSSzFnTrwzttKhh0KfPtnFI0kqD23bpgUNp54av0cfOTItZnjjjTgERXUzZqTbVGrTBtZcMxYzrLdebOus0/geoFX0LGCQJGlRVP2RvXv3pnudefPqX+xQ07Lp0+Hnn2tuM2fWvDxrSVI8sVTVunVMwNu2jclz5XT1+dqmC7FdQ/ZhTxaSJEmSVL6uvBI++ihOd+qUP5SEJEnNJQTo1y+2I4+My378MQ478eabsb31Fowdu+Bz58yB996L7fbb0+U9e6bDWKyxRvq49NJ+H1oiLGCQJKmYtWoFiy0WW3Oo7FmituKGhRU/LGxd5fqZM2HWrPhas2blt/nzm+e9NtTcubE153AejVVZ1FD5OHAg/Oc/WUclSZIkSWpKY8bAeeel8+edB716ZRePJElVdekC224bW6Vx42Ixw7vvxoKF99+H0aNrfv5338VWOUxSpa5d04KG1VePRROrrAK9e8cbEdViWMAgSZJSVXuWyMq8eQsWNdRW7FDTsqbYNouhPAqhcjiQSlOmZBaKJEmSJKkZJAmccEJafL/OOnFekqRitswysOeesVWaMiUWMrz/ftoTw8cfx+9razJlCgwdGltVIcRCvj59YltllXS6T5/CDz+tRrOAQZIkFZdWraBjx9iKRZLE3hdmz45tzpyapxuyrlD7qW3d3LkLvo+2bZv/2EmSJEmSms8NN8B//5s/36ZNdvFIkrSounaFrbaKrdK8ebFnho8/hhEjYqucnjat5v0kCXz1VWzVe20AWHJJWHllWGGFmtuSSzo0RTOzgEGSJGlhQohf+LRpE8cObQnmz097YKgsbmjVKuuoJEmSJElN5dVX4cQT0/nf/jYOJShJUqlo1SrtOWH33dPlSQLffpsWM3z8MXz6KXz+eSxcSJLa9zlhQmxvvlnz+vbt02KGXr1gueWgZ8/Ya0Rl69kzbqeCsIBBkiSpFFVUZD8ciCRJkiSpeYwbB/vsk/bGN2AAXHFFtjFJktRcQoiFBcstB9tvn79u1qzYa8Pnn8f22Wfp9BdfLHz44J9/hlGjYqvLEkssWNRQdXrJJdNm70h1soBBkiRJkiRJkqSWavx42GUX+O67OL/kkvDQQ9ChQ7ZxSZJUDNq1g759Y6tu3jz45pt0iIma2o8/1u91Jk+O7eOPF75tly75BQ1V21JLpdNLLBGH0ujaNX6ul8lQFgUrYAghLA+cD+wEdAfGAQ8D5yVJMrkB++kG/AkYDCwDTASeAv6UJMnYpnxtSZIkqTHMiSVJklTuzImb2Zdfwg47xLtJIfbGd999sOKK2cYlSVJL0KpVOjxEbaZOha+/Tgsaxo1bsH33XSyGqK8ff4zt88/r/5w2bdJihvq2xRePrXPn2Fq3jL4NChJlCKEPMBToATwCfAJsBJwI7BRC2CxJkon12E/33H5WA4YA9wL9gF8Bu4YQNk2S5IumeG1JkiSpMcyJJUmSVO7MiZvZs8/CIYfEH04gFi/ccgtsu222cUmSVEoWXxzWXDO22syfDxMm1FzcMG4cfP99XD9hAkycGLdvqDlz4IcfYltUHTrE97PllnD//Yu+nyZWqDKL64mJ4QlJklxbuTCEcAVwMnAB8Nt67OdCYlJ6RZIkp1bZzwnA1bnX2amJXluSJElqDHNiSZIklTtz4ubw9ddw2mn5Pzy0axd7Xthzz+zikiSpXFVUQI8esa27bt3bzp8fh5qoLGio2n74IX9+ypTYJk+G2bMbH+fMmbFNmdL4fTWhkCRJ43YQK1s/A0YDfZIkmV9lXWdiN10B6JEkyfQ69rMY8D0wH1gmSZJpVdZVAF8AK+Ze44tCvvZC3t+w/v379x82bNiiPF2SJKmsDBgwgHfeeeedJEkGZB1LczInliRJUiVzYnPigps8Gb74At5+OxYtvPBC/p2bXbrAI4/AVls1f2ySJKl5/PxzWtBQ3zZ1Kkyblj5W1gX84hfw0ENNGm5jcuJC9MCwTe7xmaqJIUCSJNNCCK8COwCbAM/VsZ9NgA65/UyruiJJkvkhhKeB3+Rer7J7sEK9tiRJktQY5sSSJEkqd+bEhXDnnfCHP8RuoufMgVmzYMaM2rc/6CC45BJYZpnmi1GSJDW/9u2hZ8/YFkWSxJxi6tTYY0QRK0QBQ9/c46ha1n9KTA5Xo+7ksD77IbefQr82IYTaSmfXHTFiBAMGlFXBtCRJ0iIZMWIEQO+Mw8iCObEkSZIAc2LMiRtnwgT45puFb7fYYrDssvDxx7Dbbk0bkyRJUgM1JicuRAFDl9zjj7Wsr1zetQn2U6jXrsu8mTNn/vjOO++MbsQ+6tIv9/hJE+2/pfF45PN45PN45PN45PN4pDwW+Twe+Zr6ePQGpjbRvouZOXHh+H82n8cj5bHI5/FIeSzyeTxSHouUxyKfOXHTMCcunIWfoz/9BKNqq9coOV7DUh6LfB6PlMci5bHI5/FIeSzyFW1OXIgChpKQ1Zh0lRW95TYmXm08Hvk8Hvk8Hvk8Hvk8HimPRT6PRz6Ph+pSDOeF52g+j0fKY5HP45HyWOTzeKQ8FimPRT6Ph+pSDOeF52g+j0fKY5HP45HyWKQ8Fvk8HimPRb5iPh6FGOCisnq1Sy3rK5dPaYL9FOq1JUmSpMYwJ5YkSVK5MyeWJElSoxWigGFk7nG1WtavmntcWH9Wi7KfQr22JEmS1BjmxJIkSSp35sSSJElqtEIUMDyfe9whhJC3vxBCZ2AzYAbw+kL28zowE9gs97yq+6kAdqj2eoV8bUmSJKkxzIklSZJU7syJJUmS1GiNLmBIkuRz4BmgN3BstdXnAZ2AO5MkmV65MITQL4TQr9p+fgLuzG1/brX9HJfb/9NJknzRmNeWJEmSCs2cWJIkSeXOnFiSJEmF0LpA+zkGGApcE0IYBIwANga2IXbLdWa17UfkHkO15X8EtgZOCSGsB7wJrA7sCXzPgsnnory2JEmS1BTMiSVJklTuzIklSZLUKCFJksLsKIRewPnATkB3YBzwH+C8JEkmV9s2AUiSpHpiSgihG3AOMBhYBpgIPAn8KUmSsY19bUmSJKmpmBNLkiSp3JkTS5IkqTEKVsAgSZIkSZIkSZIkSZK0qCqyDkCSJEmSJEmSJEmSJMkCBkmSJEmSJEmSJEmSlDkLGCRJkiRJkiRJkiRJUuYsYJAkSZIkSZIkSZIkSZmzgEGSJEmSJEmSJEmSJGXOAgZJkiRJkiRJkiRJkpQ5CxgWUQhh+RDCrSGEb0MIs0IIo0MIV4UQlmjgfrrlnjc6t59vc/tdvqlfu5AaG1MIoVMI4cAQwj0hhE9CCNNDCNNCCG+HEE4NIbSt5XlJHe31wr7L+ivEv1EI4YWFvL/2tTxvjRDC/SGE70MIP4cQRoYQzgshdCjcO2yYApwfWy/kWFS2XtWeV1TnRwhhnxDCtSGEl0MIU3Nx3LWI+2rwMS22c6MQxyOE0D2EcGQI4T8hhM9CCDNDCD+GEF4JIRwRQljgcy6E0Hsh58a9hXuXDXovBTk/cudCbe/tuzqeNzCE8EQIYVLuOH4QQjgphNCqce9s0RTo/DisHteNedWeU3Tnx6Kc5wvZX4u/fqg4Lcq5Vct+zI8prfy4EP8+wdy46vPNjRfcV4v+bCvEsQjmxTXtp8XnxQU6N8yJa95fi75uqHgtyrlVy37MiTEnrmEf5sTp882JF9xXi/5sK8SxCObENe3HnBhz4jr2V7TXjdaF3Fm5CCH0AYYCPYBHgE+AjYATgZ1CCJslSTKxHvvpntvPasAQ4F6gH/ArYNcQwqZJknzRFK9dSAWKaQvgLmAS8DzwMLAEsAdwGfCLEMKgJEl+ruG5Y4Dbalg+tsFvpgCa4N/ovFqWz63htTcmnkttgAeBr4FtgT8Bg3LHcFYDXrvRCnQ8RlP7cVgb+AUwPEmSr2tYX0znx1nAusBPudfvtyg7WZRjWoznBoU5HvsCNwDjiNeOr4CliefEP4CdQwj7JkmS1PDc94nXmuqGL0IchVCQ8yPnR+CqGpb/VNPGIYQ9gYeAn4H7iNfi3YErgc2Ix7m5FeJ4vEft144tiP8HnqxlfTGdH405z/OU0PVDRcb8OJ/5ccrceIGYzI1T5sYp8+J85sUpc+KUObGKnjlxPnPilDnxAjGZE6fMiVPmxPnMiVPmxKnyyYmTJLE1sAFPAwlwfLXlV+SW31jP/dyU2/7yastPyC1/qqleu9iOB7AecCDQttryzsCw3H5OreF5CfBC1udEE50fL8T/ovV+3VbAx7nX2KPK8grihSQBft9Sj0cd+/9Xbj8nFPv5AWwDrAoEYOtcfHc19TEt4nOj0ceD+OG4O1BRbXlP4od3AuxdbV3v3PLbsj4nmuj8GA2MbsD2iwPfA7OADaosb09MYBJg/5Z6POrY/2vV/08U6/mxKOd5HfsqieuHrfhaQ8+tOvZjfpxuux4lkB8X8Nx4AXPj+uzf3Hghx7QYz41CHAvMi2vaz2haeF5cqGNRx/7NifOXt5jrhq04W0PPrTr2Y06cbrse5sRVt38Bc+L67N+ceCHHtBjPjUIcC8yJa9rPaMyJF7Z/c+L85UVx3cj8YLe0BvTJ/SN8WcMJ0plYATQd6LSQ/SwGzMht37nauorcRSUBVi70axfj8VjIa/xf7jUerWFdsSUcBTseNDwh3Tb32i/WsG7l3LrRQGiJx6OW/S9JrAKcAXQt9vOjWmxbs2hJWIOPaTGeG4U6HgvZ5x9z+7y22vLeFFniUcjjQcOT0sNzr3V7DetqPXdayvGoZX9r5/Y3FmjV0s6PavHWeJ7Xsm1JXj9s2bdCfd5jftyQ12gR+XEhjwXmxvXZv7lxPY5pMZ4bhTgWC9mneXH9ti/qvLjQ5wbmxCVz3bAVRyvU5zzmxA15DXPihW9fdNevpj43MCcuic+2RT0WC9mnOXH9tjcnbkHnRrV4SyonbtBYGAJipQ/AM0mSzK+6IkmSacCrQEdgk4XsZxOgA/Bq7nlV9zOfWPlS9fUK+dqF1Bwxzck9LtAFVk7XEMLhIYQ/hhCODSE05/uvruDHI4TwyxDC70MIp4QQdg4htKtl021zj09VX5HEbuVGASsSLyTNpanPj0OBdsADSZJMqWWbYjo/CmFRjmkxnhvNYWHXjmVDCEflzo2jQgjrNFdgzaBdCOGg3Hs7MYSwTah9fLJazw/gJeIffAPruPa0RL/JPd6SJMm8WrZpKefHws7zqrx+qKmYH+czP06ZG+czNy48P9vqx7zYvLgm5sReN1RY5sT5zIlT5sT5zIkLz8+2+jEnNieuiTlxkV43LGBouL65x1G1rP8097haE+ynUK9dSM0R0+G5x5oumBDHvrkFuAD4G/BaCOG9EMLajXjNRdUUx+Ne4K/A5cATwFchhH2a6bUbq6lj+nXu8aY6timm86MQSuXa0aRCCK2BQ3KztV07tgduJJ4bNwLvhxCeDyGs0AwhNrWewJ3E93YVcVyqT0MIW9Wwba3nR5Ikc4lVmK0pkT9YQggdgIOAecRxwWpT9OdHPc/zqrx+qKmYH+czP06ZG+czNy68UrluNBnzYvPimpgTA143VHjmxPnMiVPmxPnMiQuvVK4bTcac2Jy4JubEQBFfNyxgaLguuccfa1lfubxrE+ynUK9dSE0aUwjhOGAn4D3g1ho2uQLYDFiK2K3JhsSxVtYFhoQQlluU122EQh6PR4hj2SxPrLzuR0xMuwL3hRB2asLXLpQmiyn34doXGJ4kydBaNiu286MQSuXa0dQuAtYCnkiS5Olq62YAfwYGAEvk2lbA88QuqJ4LIXRqvlAL7p/AIGJi2onYDdZNxC6vngwhrFtt+3I7P/YjvpenkiT5uob1Len8qOs8r4nXDzUV8+N85scpc+N85saFVyrXjaZkXmxeXBNzYq8bKjxz4nzmxClz4nzmxIVXKteNpmRObE5cE3PiIr5uWMCgohVC+AWxGuw7YO8kSeZU3yZJklOTJBmaJMmEJEl+SpLk7SRJ9gUeIo53dVqzBl1ASZJcmSTJY0mSfJMkyc9JkoxMkuSPwKnE/7t/zTjErFV27XNzbRuU8vmh2oUQTiD+P/kEOLj6+iRJvk+S5E9JkryTJMmUXHsJ2AF4A1gFOLJZgy6gJEnOS5JkSJIk45MkmZEkyfAkSX5L/AOtA3ButhFmrvLaUWMlfks5PxZ2nksqTeWcH5sbL5S5sRZgXmxeXAdzYkktljmxOXEdzIm1AHNic+I6mBMXMQsYGq6ygqRLLesrl09pgv0U6rULqUliCiEMJnaF9T2wdRLHT2mIG3OPWzbweY3VHP9G/yCOYbNeCKFzM792QzXV+dEN2BuYSez6qKGyOj8KoVSuHU0iV4F/NfAxsE2SJJPq+9wkdoFV2VVUSzw3Fqa2876czo81gYHAWGIXi/VWTOdHI85zrx9qKubH+cyPU+bG+cyNC69UrhsFZ15cp7LOi82JvW6oyZgT5zMnTpkT5zMnLrxSuW4UnDlxncyJzYmhiK8bFjA03MjcY21jeKyae6xtDJDG7KdQr11IBY8phLAv8AAwHtgqSZKRC3lKTX7IPTZ39y1N/m+UJMnPwLTcbNX3VxbnR86hQDvg/iRJpixCXFmdH4VQKteOggshnARcCwwnflh/twi7acnnxsLU9t5qPT9yY2etRPwjuKFfChSjyqraW5IkmbcIz8/8/Gjkee71Q03F/Dif+XHK3DifuXHhlcp1o6DMixeq3PNic+LI64YKzZw4nzlxypw4nzlx4ZXKdaOgzIkXypw4MieuWebXDQsYGu753OMOIYS845erbtyMOC7K6wvZz+vEasDNqlVFktvvDtVer5CvXUgFjSmEcCDwL+BbYiL66SLGtUnusbkvok3+bxRC6Esca2caMKHKqiG5x+pjnRFCWJl4URlD8x6Tpjoev8491tod2EJkdX4UwqIc02I8NwoqhHAGcCVx7MNtkiT5fhF31ZLPjYWp7b3Ven4QK0g7AkOTJJnVVIE1hxBCe2IXWvOAWxZxN5meHwU4z71+qKmYH+czP06ZG+czNy48P9uqMS+ul7LNi82JAa8bajrmxPnMiVPmxPnMiQvPz7ZqzInrxZzYnBiK+bqRJImtgQ14GkiA46stvyK3/MZqy/sB/WrYz0257S+vtvyE3PKnGvvaLex4HEq8YHwBrFiP110HaFPL8gm51/6/lng8iFVs3WrY91LA0Nx+bq62rhWxm5gE2KPK8gpidXIC/L4lHo9q67fIPe/Dlnh+VIlj61wMd9Wyvk3uWPQpwDEtynOjgMfj7Nxz367p/00N2/cHKmpYPgj4ObevgS3xeACrA51q2L438Glun3+stm5xYsXoLGCDKsvbV7ne7N8Sj0e1bQ7O7ePRlnh+NOQ8L7frh6042iKcW+bH9TseLT4/LsSxwNzY3LiMPtsaeSzMi9PlJZcXN+bcqLKNOXFSetcNW/G0RTi3zInrdzzMiRNz4prOjSrrzYlL7LOtkcfCnDhdbk5c8zbmxEnxXzdCbudqgBBCH+J/1B7AI8AIYGNgG2LXGAOTJJlYZfsEIEmSUG0/3XP7WY1YufIm8YKyJ3Ecr4FJknzemNduDoU4HiGEbYBniSf6rcDXNbzUlCRJrqrynNuA3YGXc9vPIv5H3In4H+nvwFFJM5/kBToehxHHIHqFmJxPAlYAdiGOI/M2sH1SrTusEMLGxHOpDfAg8BXxYroB8CowKGnmyrhC/X+psv5O4CDghCRJrq3jdW+jyM6P3Dh9g3OzPYEdif++L+eWTUiS5LTctr2BL4ExSZL0rrafBl8HivTcGEwjj0cI4VDgNuIfsteSjsNU1egkSW6r8pwXiN0ZDSWOcQXxD5Vtc9NnJ0nyl0V/Z4umQMfjXOBU4CViteM0oA+wKzHJfALYK0mS2TW89oPExOte4jVnD6Bvbvl+GVxLB1OA/y9V9vcysDkxuXq0jtd9gSI7Pxp6npfD9UPFx/w4n/lxytw4n7lxXkyDMTeujGcw5sX/n3nxAvEMzs2aE5sTq8iZE+czJ06ZE+czJ86LaTDmxJXxDMac+P8zJ14gnsG5WXPicsmJ61vpYFugMqUX8E9gHDCb+J//KmCJGrZN4qGucT/dgKtzz5+d29+twPKFeO2WcjyAwyqX19FGV3vOYODfwGfA1CrH71GqVP+00OOxNvEi9CEwEZhD/JB4GTgeaFvHa69BrHaaQEzCRgHnAR1a6vGosm4JYjd6M4CuC3nNojs/gHPre44TqyAXOO8X5ZgW67lRiONRj30kwAvVnnME8BgwGvgpdyy+Au4Dtsjw/0khjsdWxC4VPwGmEK8dPwD/Aw6BWLhYy+tvRkxaJ+f+n30InAy0aqnHo8r61XPrv17Y+ynG86Oh53k9jkeLv37YirM15NyqPHdr2Y/5cVJa+XEBjoW5cc37MTdehGNajOdGIY5FPfZhXtwC8+IC/z8xJ87fX4u+btiKtzXk3Ko8d2vZjzlxYk5cbZk5cc37MSdehGNajOdGIY5FPfZhTmxObE6cv7+ivW7YA4MkSZIkSZIkSZIkScpcRdYBSJIkSZIkSZIkSZIkWcAgSZIkSZIkSZIkSZIyZwGDJEmSJEmSJEmSJEnKnAUMkiRJkiRJkiRJkiQpcxYwSJIkSZIkSZIkSZKkzFnAIEmSJEmSJEmSJEmSMmcBgyRJkiRJkiRJkiRJypwFDJIkSZIkSZIkSZIkKXMWMEiSJEmSJEmSJEmSpMxZwCBJkiRJkiRJkiRJkjJnAYMkSZIkSZIkSZIkScqcBQyS1AKFEL4LISQhhB9CCI+EEPplHZMkSZLUnMyJJUmSVO7MiSWVopAkSdYxSJIaIISwHDC22uKxwMpJkszJICRJkiSpWZkTS5IkqdyZE0sqVfbAIEktzyRgbWAQ8HFu2fLAtplFJEmSJDUvc2JJkiSVO3NiSSXJAgZJamGSJJmZJMnwJEmGAKdXWbVeRiFJkiRJzcqcWJIkSeXOnFhSqbKAQZJatqFVptfKLApJkiQpO+bEkiRJKnfmxJJKhgUMktSCJUkyBfgmN7t2hqFIkiRJmTAnliRJUrkzJ5ZUSixgkKSWb2TusV8IoVWmkUiSJEnZMCeWJElSuTMnllQSLGCQpBYshLAGsEVuth2waobhSJIkSc3OnFiSJEnlzpxYUimxgEGSWqgQQgBuAtpUWWz3YJIkSSob5sSSJEkqd+bEkkqNBQyS1HL9Gti82rK1sghEkiRJyog5sSRJksqdObGkkmIBgyS1QCGEpYGLcrOvA0lu2sRUkiRJZcGcWJIkSeXOnFhSKbKAQZJapquAJYBZwGHAF7nldg0mSZKkcnEV5sSSJEkqb1dhTiypxFjAIEktTAhhR2D/3OxfkiQZCXyQm+8TQmifTWSSJElS8zAnliRJUrkzJ5ZUqixgkKQWJITQAbghNzscuDg3/WHusQJYo7njkiRJkpqLObEkSZLKnTmxpFJmAYMktSznACsB84FfJ0kyJ7f8wyrb2D2YJEmSSpk5sSRJksqdObGkkmUBgyS1ECGEtYFTc7PXJ0nyepXVH1SZXqv5opIkSZKajzmxJEmSyp05saRSZwGDJLUAIYQK4GagNTAW+GO1TT4DZuamTUwlSZJUcsyJJUmSVO7MiSWVAwsYJKll+C2wSW76mCRJplVdmSTJfODj3Kxdg0mSJKkUmRNLkiSp3JkTSyp5FjBIUpELISwDXJibfSBJkkdr2bRyfLPlQghdmzwwSZIkqZmYE0uSJKncmRNLKhcWMEhS8bsG6AJMAU6oYzvHN5MkSVKpMieWJElSuTMnllQWLGCQpCIWQtgV2Cc3e3qSJN/VsfmHVabtHkySJEklwZxYkiRJ5c6cWFI5sYBBkopUCKETcF1u9kXgloU8pWpiamWtJEmSWjxzYkmSJJU7c2JJ5SYkSZJ1DJIkSZIkSZIkSZIkqczZA4MkSZIkSZIkSZIkScqcBQySJEmSJEmSJEmSJClzFjBIkiRJkiRJkiRJkqTMWcAgSZIkSZIkSZIkSZIyZwGDJEmSJEmSJEmSJEnKnAUMkiRJkiRJkiRJkiQpcxYwSJIkSZIkSZIkSZKkzFnAIEmSJEmSJEmSJEmSMmcBgyRJkiRJkiRJkiRJypwFDJIkSZIkSZIkSZIkKXMWMEiSJEmSJEmSJEmSpMxZwCBJkiRJkiRJkiRJkjJnAYMkSZIkSZIkSZIkScqcBQySJEmSJEmSJEmSJClzFjBIkiRJkiRJkiRJkqTMWcAgSZIkSZIkSZIkSZIyZwGDJEmSJEmSJEmSJEnKnAUMkiRJkiRJkiRJkiQpcxYwSJIkSZIkSZIkSZKkzP0/W+XjXy/FKZ4AAAAASUVORK5CYII=", "text/plain": [ "<Figure size 1296x360 with 3 Axes>" ] }, "metadata": { "image/png": { "height": 324, "width": 1048 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "lambda_space = np.arange(0, 2, 0.01)\n", "\n", "plt.figure(figsize=(18, 5))\n", "\n", "plt.subplot(1, 3, 1)\n", "plt.plot(lambda_space, Gamma(a=0.1, b=0.1).pdf(lambda_space), color=\"red\", label=\"$a=0.1, b=0.1$\")\n", "plt.ylim(0, 2)\n", "plt.xlabel(\"$\\lambda$\", fontsize=14)\n", "plt.legend(fontsize=14)\n", "\n", "plt.subplot(1, 3, 2)\n", "plt.plot(lambda_space, Gamma(a=1, b=1).pdf(lambda_space), color=\"red\", label=\"$a=1, b=1$\")\n", "plt.ylim(0, 2)\n", "plt.xlabel(\"$\\lambda$\", fontsize=14)\n", "plt.legend(fontsize=14)\n", "\n", "plt.subplot(1, 3, 3)\n", "plt.plot(lambda_space, Gamma(a=4, b=6).pdf(lambda_space), color=\"red\", label=\"$a=4, b=6$\")\n", "plt.ylim(0, 2)\n", "plt.xlabel(\"$\\lambda$\", fontsize=14)\n", "plt.legend(fontsize=14)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Considering a prior $\\text{Gam}(\\lambda|a_0,b_0)$ and multiplying by the likelihood function, we obtain an **unnormalized** posterior distribution of the form\n", "\n", "$$\n", "p(\\lambda|\\mathsf{x}) \\propto \\lambda^{a_0-1}\\lambda^{N/2}\\exp\\{-b_0\\lambda-\\frac{\\lambda}{2}\\sum_{n=1}^N(x_n-\\mu)^2 \\}\n", "$$\n", "\n", "which is a gamma distribution $\\text{Gam}(\\lambda|a_N,b_N)$\n", "\n", "$$\n", "\\begin{aligned}\n", "a_N &= a_0 + \\frac{N}{2} \\\\\n", "b_N &= b_0 + \\frac{1}{2}\\sum_{n=1}^N (x_n-\\mu)^2 = b_0 + \\frac{N}{2}\\sigma_{ML}^2\n", "\\end{aligned}\n", "$$\n", "\n", "Thus, the effect of observing $N$ data points is to increase the value of the coefficient $a$ by $\\frac{N}{2}$ and the value of coefficient $b$ by $\\frac{N}{2}\\sigma_{ML}^2$.\n", "\n", "**3. Suppose that both the mean $\\mu$ and the variance $\\sigma^2$ are unknown:**\n", "\n", "**TODO**\n", "\n", "### 2.3.7 Student's t-distribution\n", "\n", "Consider a univariate Gaussian distribution $\\mathcal{N}(x|\\mu,\\tau^{-1})$ and a gamma prior $\\text{Gam}(\\tau|a,b)$. If we integrate out the precision $\\tau$, we obtain the marginal distribution of $x$ in the form\n", "\n", "$$\n", "p(x|\\mu,a,b) = \\int_0^{\\infty} \\mathcal{N}(x|\\mu,\\tau^{-1})\\text{Gam}(\\tau|a,b)d\\tau =\n", "\\frac{b^a}{\\Gamma(a)} \\bigg(\\frac{1}{2\\pi}\\bigg)^{1/2} \\bigg[b + \\frac{(x-\\mu)^2}{2}\\bigg]^{-a-1/2}\\Gamma(a+1/2)\n", "$$\n", "\n", "where we have made the change of variable $z=\\tau[b+(x-\\mu)^2/2]$. By defining new parameters given by $\\nu=2a$ and $\\lambda=a/b$, the distribution $p(x|\\mu,a,b)$ takes the form\n", "\n", "$$\n", "\\text{St}(x|\\mu,\\lambda,\\nu) =\n", "\\frac{\\Gamma(\\nu/2 + 1/2)}{\\Gamma(\\nu/2)} \\bigg(\\frac{\\lambda}{\\pi\\nu}\\bigg)^{1/2}\n", "\\bigg[1 + \\frac{\\lambda(x-\\mu)^2}{\\nu}\\bigg]^{-\\nu/2-1/2}\n", "$$\n", "\n", "which is known as *Student's t-distribution*. The parameter $\\lambda$ is called the $precision$ of the t-distribution, **even though it is not equal to inverse of the variance**, while the parameter $\\nu$ is called the degrees of freedom." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": { "image/png": { "height": 252, "width": 372 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x_space = np.arange(-5, 5, 0.01)\n", "\n", "plt.plot(x_space, StudentT(nu=100).pdf(x_space), color=\"green\", label=\"$\\\\nu\\\\;\\\\to\\\\;\\\\infty$\")\n", "plt.plot(x_space, StudentT(nu=1).pdf(x_space), color=\"blue\", label=\"$\\\\nu=1$\")\n", "plt.plot(x_space, StudentT(nu=0.1).pdf(x_space), color=\"red\", label=\"$\\\\nu=0.1$\")\n", "plt.xlim(-5, 5)\n", "plt.ylim(0, 0.5)\n", "plt.legend(fontsize=14)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For $\\nu=1$ the t-distribution reduces to the *Cauchy* distribution, while for $\\nu\\to\\infty$ the t-distribution becomes a Gaussian.\n", "\n", "Note that the Student's t-distribution is obtained by adding up an infinite number of Gaussian distributions having the same mean, but different precisions. Thus, the t-distribution can be interpreted as a *mixture* of Gaussians. The result of this mixture is that the distribution has longer *tails*, which gives the t-distribution an important property called *robustness*. Essentially, is much less sensitive, than the Gaussian, to the presence of few data points which are *outliers*.\n", "\n", "### 2.3.9 Mixtures of Gaussians\n", "\n", "Although the Gaussian distribution has important analytical properties, it also has significant limitations regarding to modelling real data sets. Consider for instance the *Old Faithful* dataset comprise $272$ measurements of the eruption of the Old Faithful geyser at Yellowstone National Park in the USA." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": { "image/png": { "height": 270, "width": 396 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "old_faithful = load_old_faithful()\n", "plt.scatter(old_faithful[:, :1], old_faithful[:, 1:2], color=\"springgreen\", facecolors=\"none\", s=50)\n", "plt.xlim(1, 6)\n", "plt.ylim(40, 100)\n", "plt.xlabel(\"Eruption duration (mins)\", fontsize=14)\n", "plt.ylabel(\"Time until next eruption (mins)\", fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each measurement comprises the duration of the eruption in minutes ($x$-axis) and the time in minutes to the next eruption ($y$-axis). Note that the data forms two dominant modes. Therefore, a simple Gaussian distribution **should be unable to capture this structure**." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": { "image/png": { "height": 270, "width": 396 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x, y = np.meshgrid(np.linspace(1, 6, 100), np.linspace(40, 100, 100))\n", "\n", "# Perform maximum likelihood over the dataset\n", "model = MultivariateGaussian(dim=2)\n", "model.ml(old_faithful)\n", "p = np.diag(model.pdf(np.array([x, y]).reshape(2, -1))).reshape(100, 100)\n", "\n", "plt.scatter(old_faithful[:, :1], old_faithful[:, 1:2], color=\"springgreen\", facecolors=\"none\", s=50)\n", "plt.contour(x, y, p, cmap=\"rainbow\")\n", "plt.xlim(1, 6)\n", "plt.ylim(40, 100)\n", "plt.xlabel(\"Eruption duration (mins)\", fontsize=14)\n", "plt.ylabel(\"Time until next eruption (mins)\", fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On the other hand, a linear combination (superposition) of two Gaussians should give a better characterization of the data since it should be able to place one Gaussian on each mode of the data. Such superpositions, formed by taking linear combinations of more basic distributions such as Gaussians, can be formulated as probabilistic models known as *mixture distributions*. We therefore define a superposition of $K$ Gaussian densities of the form\n", "\n", "$$\n", "p(\\mathbf{x}) = \\sum_{k=1}^K \\pi_k \\mathcal{N}(\\mathbf{x}|\\boldsymbol\\mu_k,\\mathbf{\\Sigma}_k)\n", "$$\n", "\n", "which is called a *mixture of Gaussians*. Each Gaussian density is called a *component of the mixture* and the parameters $\\pi_k$ are called the *mixing coefficients*. By using a sufficient number of Gaussians, and by optimizing their means and covariances, as well as the coefficients $\\pi_k$ in the linear combination, almost any continuous density can be approximated to arbitrary accuracy.\n", "\n", "By integrating both sides of (2.188) over $\\mathbf{x}$, and noting that both $p(\\mathbf{x})$ and the individual Gaussian components are normalized, we obtain\n", "\n", "$$\n", "\\begin{aligned}\n", "& \\int p(\\mathbf{x})d\\mathbf{x} = \n", "\\int \\sum_{k=1}^K \\pi_k \\mathcal{N}(\\mathbf{x}|\\boldsymbol\\mu_k,\\mathbf{\\Sigma}_k)d\\mathbf{x} \n", "\\Leftrightarrow \\\\\n", "& \\sum_{k=1}^K \\pi_k \\int \\mathcal{N}(\\mathbf{x}|\\boldsymbol\\mu_k,\\mathbf{\\Sigma}_k)d\\mathbf{x} = 1\n", "\\Leftrightarrow \\\\\n", "& \\sum_{k=1}^K \\pi_k = 1\n", "\\end{aligned}\n", "$$" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<Figure size 1152x360 with 2 Axes>" ] }, "metadata": { "image/png": { "height": 337, "width": 930 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x_space = np.linspace(-3, 3, 100)\n", "\n", "# Mixture component's parameters and coefficients\n", "mu1, mu2, mu3 = -1.2, 1.2, 0.6\n", "var1, var2, var3 = 0.4, 0.4, 1\n", "pi1, pi2, pi3 = 0.4, 0.2, 0.3\n", "\n", "component1 = Gaussian(mu=mu1, var=var1).pdf(x_space)\n", "component2 = Gaussian(mu=mu2, var=var2).pdf(x_space)\n", "component3 = Gaussian(mu=mu3, var=var3).pdf(x_space)\n", "\n", "plt.figure(figsize=(16, 5))\n", "\n", "plt.subplot(1, 2, 1)\n", "plt.plot(x_space, component1, label=\"component 1\")\n", "plt.plot(x_space, component2, label=\"component 1\")\n", "plt.plot(x_space, component3, label=\"component 1\")\n", "plt.xlabel(\"$x$\", fontsize=14)\n", "plt.title(\"Individual Gaussian distributions\", fontsize=14)\n", "\n", "plt.subplot(1, 2, 2)\n", "plt.plot(x_space, pi1 * component1 + pi2 * component2 + pi3 * component3)\n", "plt.xlabel(\"$x$\", fontsize=14)\n", "plt.title(\"Mixture of Gaussian\", fontsize=14)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given a dataset $\\mathbf{X} = \\{ \\mathbf{x}_1,\\dots,\\mathbf{x}_N \\}$, one way of finding the values of the parameters is to use maximum likelihood\n", "\n", "$$\n", "\\ln p(\\mathbf{X}|\\boldsymbol\\pi,\\boldsymbol\\mu,\\mathbf{\\Sigma}) = \n", "\\ln \\bigg(\\prod_{n=1}^N \\sum_{k=1}^K \\pi_k \\mathcal{N}(\\mathbf{x}_n|\\boldsymbol\\mu_k,\\mathbf{\\Sigma}_k)\\bigg)\n", "$$\n", "\n", "Due to the presence of the summation over $k$ inside the logarithm, the derivation is much more complex than the case of a single Gaussian. As a result, the maximum likelihood solution for the parameters no longer has a closed-form analytical solution. One approach to maximizing the likelihood function is to use iterative numerical optimization techniques or employ a powerful framework called *Expectation-Maximization*.\n", "\n", "## 2.5 Nonparametric Methods\n", "\n", "The use of probability distributions of specific functional forms governed by a number of parameters whose values are to be determined from the data are called **parametric** approaches to density modelling. The main limitation of such approches is that the assumed density might be a poor model of the true underlying distribution that generated the data in the first place. This leads to poor predictive performance, such as in the case of the *Old faithful* dataset and the simple unimodal Gaussian distribution.\n", "\n", "Now we consider some **nonparametric** approaches to density estimation that make fewer assumptions about the form of the distribution. We focus mainly on simple frequentist methods, however, there are also nonparametric Bayesian methods.\n", "\n", "For presentation purposes, consider a single continuous variable $x$ that follows a mixture of two Gaussian distributions." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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kqcTdmzO94kkMIxBSrKbwDaM7g+gKwGo28jSzU65I5caALklSCYtEHmR6dju3fUNbFwjV/p2cblHNzYAuSVIJm84nzGQZAB1oVe0ESNUut83lPqYRiSlWo3JjQJckqYQ9lDN6Pp5BtKZlitUUjzEMoAOtAJjBMqaxNOWKVE4M6JIklbDcgH4MQ1KspLi0oSVHMTi7bZuLmpMBXZKkErWeTUziw+y2Ab1+ara5SM3FgC5JUol6mtmsS6YIHEY3BiYzk6hujssJ6JOZwwrWp1iNyokBXZKkEmV7S+P0oTP70BuAzVTxCDNSrkjlwoAuSVKJMqA3ntMtKg2NDughhG4hhC+GEO4KIUwPIawLIawIITwTQvhCCKHOXyOEMCuEEGu5LGpsrZIklYvZLGcqSwBoS0vGMCDdgopUbh/6A3xAFVUpVqNykY+5ls4A/gAsBCYBc4CewKnAX4FjQwhnxBjrOoHoCuCKrexf3fhSJUkqD7mj52PoT7tkykDVz770oQcdWMwaPmYtL7OAA9g57bJU4vIR0KcBnwHujzFm/6wMIXwfeAk4jUxYv6OOx1seY7wsD3VJklS2cgP6sTmjwKqfCio4liFcxxtA5t/VgK6m1ugWlxjjEzHGe3PDebJ/EfDHZHNsY7+OJEmqm41s5nFmZrftP2+c3H+/Rz1RVM2gqZcT25Rcb67Hc9qEEM4F+gFrgDeBp2OMlfkuTpKkUvQ881jFRgAG0IWhdEu5ouJ2JIMIQAReYB4rWM8OtE27LJWwJgvoIYSWwOeTzYfq8dRewA019n0YQrgwxvhUHb/2lFruGl6POiRJKkoP8kH29jEMIRBSrKb4dacDe9ObV1lIJZFJfMjJjEi7LJWwppxm8efASOCBGOPDdXzOtcB4MiG9AzAK+BMwAHgwhLBnE9QpSVJJcXrF/JvA4OztR3Pah6Sm0CQj6CGES4HvAO8B59X1eTHGn9TY9TZwcQhhdXK8y4BT6nCc0bXUNQXYp671SJJUbBawkjf4CIBWVHAEA1OuqDRMYDA/5xkAFyxSk8v7CHoI4RLgSuBdYFyM8ZM8HHbLyaaH5+FYkiSVrNzweCj96ESbFKspHQezC+2TqSqn8wkfsizlilTK8hrQQwjfBK4iM/I9LpnJJR8+Tq475Ol4kiSVpAdtb2kSbWjJGPpnt53NRU0pbwE9hPA94DfA62TC+eJ8HRs4MLm26UuSpFpsprJacDSg51duH7ptLmpKeQnoIYQfkTkpdAowPsa4ZBuPbRVCGB5CGFxj/4gQwqdGyEMIA4DfJZs35qNeSZJK0cssYBnrAehDJ0bRM+WKSstROQH9cT6kkqptPFpquEafJBpCOB/4L6ASmAxcGsKnpnOaFWOcmNzuC0wFZpOZnWWLM4HvhBCeTu5bBQwGjgfaAg8Av2xsvZIklaqas7c4vWJ+7cZO9KETC1jFctbzCgtcVVRNIh+zuGw5PbwF8M1aHvMUMHE7x5kEDAP2Bg4h02++HHiGzLzoN8QYY+NKlSSpdOW2XRzN4G08Ug0RCExgMBN5Hcj8exvQ1RQa3eISY7wsxhi2cxmb8/hZyb4BNY7zVIzxrBjj8BhjlxhjqxjjTjHGo2KM1xvOJUmq3QrW8xLzAQjAeAalW1CJOirn39U+dDWVplyoSJIkNZMnmUUVmbGsfehNN9qnXFFpOjInoL/APFYmPf9SPhnQJUkqAY/nTHTm6HnT6UFH9qYXAJup4klmpVuQSpIBXZKkEvBYTkA/0oDepI5yukU1MQO6JElFbj4rmUpmhuM2tOBQ+qVcUWnLnQ/9UZdoURMwoEuSVOSe4MPs7UPoR7tkSXo1jUPYhXbJRHjTWMoslqVckUqNAV2SpCL3WLX+84HbeKTyoS2tOJz+2W1H0ZVvBnRJkopYJNp/noLqbS72oSu/DOiSJBWx91jCAlYBsANtGE2flCsqD7kB/TFmUklVitWo1BjQJUkqYrnTKx7BQFr4q71Z7E4PetMRgGWsZwoLUq5IpcSfYkmSithjzn+eikCoNt2ifejKJwO6JElFajOVTMpZKMf+8+Z1VM6/9+MGdOWRAV2SpCI1hYWsZAMAO9OZoXRLuaLyckTOjDnPMZd1bEqxGpUSA7okSUWq5uwtgZBiNeWnD50ZTncANlDJ88xNuSKVCgO6JElFyvnP05c7ip67YJTUGAZ0SZKK0Fo28lzOiK0niKYjN6A/bkBXnhjQJUkqQs8wh41UArA7O9GbTilXVJ7GMiDbWPQy81nJ+lTrUWkwoEuSVIScXrEwdKM9e9ELgEoik5mTckUqBQZ0SZKKUM0TRJUe+9CVbwZ0SZKKzBLW8DqLAGhBYAz9U66ovFXvQ3c+dDWeAV2SpCIziVnE5PYB7Exn2qZaT7k7jP60TCLVG3zEEtakXJGKnQFdkqQi4/SKhaUTbdifvtntJ3NWd5UawoAuSVKRedz+84JjH7ryyYAuSVIRmcNyZrAMgHa05AB2TrkigQFd+WVAlySpiEzKaZ84lH60oWV6xSjrIHambfJavM9S5rMy5YpUzAzokiQVkUk5o7Pj7D8vGG1pxSHskt12FF2NYUCXJKlIRGK1EfRxDEitFn2abS7KFwO6JElF4kOWMYcVAHSkNaPpk3JFylUzoMfsZJhS/RjQJUkqErmjsofTn1a0SLEa1bQvfehEawDmsIIZfJJyRSpWBnRJkoqE7S2FrSUtODxnVVfbXNRQBnRJkopApv/cE0QL3ficeekN6GooA7okSUVgGktZyGoAutCWveiVckXaGvvQlQ8GdEmSikDN/vMW/govSKPoQTfaAfAxa3mbxSlXpGLkT7ckSUUgt73lCNtbClYFFdXaj2xzUUMY0CVJKnCRyJOeIFo0xhvQ1UgGdEmSCtw7LOZj1gLQjXaMpEfKFWlbckfQn2IWlVSlWI2KkQFdkqQClzsKO5YBVPjru6ANpRu96QjACjbwBotSrkjFxp9wSZIKXO785/afF75AYGxOG1Lu6yfVhQFdkqQCVkUVT1XrPzegF4Pc1+lJA7rqyYAuSVIBe4OPWMZ6AHrRkeF0T7ki1UXuCPrTzGYzlekVo6JjQJckqYDV7D8PhBSrUV0NYUf60gmAlWzgdfvQVQ8GdEmSClju/OdOr1g8AqFam4t96KoPA7okSQVqM5U8zezstieIFpfqJ4o6H7rqzoAuSVKBepWFrGIjADvTmcHsmHJFqo/cTzwmM8c+dNWZAV2SpAL1RI32FvvPi8tAurILnQFYzUamsDDlilQsDOiSJBWoSU6vWNRq9qE73aLqyoAuSVIB2shmnmFOdtv+8+I0zj50NYABXZKkAvQKC1jLJgAG0IX+dEm3IDVI7omizzCHTfahqw4M6JIkFaDq7S0DUqtDjTOArgxI/rhawyZeYUG6BakoNDqghxC6hRC+GEK4K4QwPYSwLoSwIoTwTAjhCyGEen2NEMLOIYRrQggLQggbQgizQghXhBC6NrZWSZKKRW6/8lgDelFzukXVVz5G0M8A/gIcALwIXAHcAYwE/grcFkKo02nnIYTBwBTgQuAl4DfATOAbwPMhhG55qFeSpIK2kc08m9N/bkAvbrmfgHiiqOqiZR6OMQ34DHB/jLFqy84QwvfJhOzTgFPJhPbtuRroAVwaY7wq51i/Br4FXA5cnIeaJUkqWC8xn3VsBmAQXeln/3lRy/0D61nmspHNtM5LBFOpavQIeozxiRjjvbnhPNm/CPhjsjl2e8dJRs8nALOA39e4+z+BNcB5IYQOja1ZkqRCZntLaelHFwaR6dRdyyZetg9d29HUJ4luSq431+Gx45LrR7YS9lcBzwLtgQPzV54kSYXnSU8QLTlOt6j6aLKAHkJoCXw+2XyoDk8ZllxPq+X+D5LroXX42lO2dgGG16EOSZJSs4HNPMvc7LYj6KWh+omis1KrQ8WhKUfQf07mRNEHYowP1+HxOyTXK2q5f8v+Lo2sS5KkgvUS81mffPA8hB3ZOfvrUcUsd0XR55jLhjo1F6hcNckZCiGES4HvAO8B5zXF19iWGOPore1PRtH3aeZyJEmqs9z2B0fPS0dfOrMrO/IBn7CezbzIPA739VUt8j6CHkK4BLgSeBcYF2P8pI5P3TJCXttQwZb9yxtenSRJhc0TREvXWKdbVB3lNaCHEL4JXAW8TSacL6rH099PrmvrMd81ua6tR12SpKK2nk08z7zstgG9tOS2udiHrm3JW0APIXyPzMJCr5MJ54vreYhJyfWEmquPhhA6AYcAa4EXGlmqJEkF6cWc/vNd2ZG+dE65IuVT7h9czzOX9dnJ7qTq8hLQQwg/InNS6BRgfIxxyTYe2yqEMDyZ9zwrxjgDeAQYAHy9xtN+AnQAbogxrslHzZIkFRrbW0pbbzoxjMyi6Buo5IWcT0ukXI0+STSEcD7wX0AlMBm4NIRQ82GzYowTk9t9ganAbPjUu8/XgOeA34YQxiePO4DMHOnTgB80tl5JkgpV9fnPB9b+QBWtsQzgfZYCmdd7rK+ztiIfs7hs+Z/VAvhmLY95Cpi4vQPFGGeEEPYlE/iPAY4DFpI56fQnMcZljS1WkqRClOk//7/5z8fQP8Vq1FTGMZA/MQXwRFHVrtEBPcZ4GXBZPR4/C/jUEHvO/XOBCxtblyRJxeQF5rGBSgCG0o0+9p+XpNw/vJ5nHuvYRDtapViRClFTLlQkSZLqqHp7y4DU6lDT6kUnhtMdgI32oasWBnRJkgrAJE8QLRu5f4DlLkwlbWFAlyQpZevYVG0kdYwBvaS5YJG2x4AuSVLKXmAeG5P+8+F0pzedUq5ITSk3oL/IfNayMb1iVJAM6JIkpSy3zcH2ltLXg47sxk5Apg/9efvQVYMBXZKklHmCaPmxzUXbYkCXJClFa9nIi8zPbtt/Xh48UVTbYkCXJClFz+f0n4+gOz3pmHJFag65f4i9xHzW2IeuHAZ0SZJSlDt6Os5l38vGTnRgJD0A2ERVtVVkJQO6JEkpmmT/edkaW63NZVZqdajwGNAlSUrJajbwkv3nZcsTRVUbA7okSSl5lrlspgqAkfRgJzqkXJGa0xj6Z2/bh65cBnRJklJSvf98QHqFKBXd6cCopA99M1U8y5yUK1KhMKBLkpSS6vOfe4JoObLNRVtjQJckKQWr2MArLAAgUL3dQeUj9w8zTxTVFgZ0SZJSMJnZVBIB2JNe7Ej7lCtSGg6nPyG5/TLzWc2GVOtRYTCgS5KUAqdXFEA32rMHPQGoJPKs86ELA7okSanIPUF0rAG9rFWfD/3D2h+osmFAlySpmS1nHa+xCIAKAofbf17WPFFUNRnQJUlqZpOZQ1XSf743vehCu5QrUppy+9BfYQErWZ9qPUqfAV2SpGZWff5zp1csdzvSnr3oBWT60Cc7H3rZM6BLktTMPEFUNVWfbtE+9HJnQJckqRl9wlreSPrPWxA4lH4pV6RCcEROQH/CgF72DOiSJDWjp5iddJ/DaPrQmbap1qPCcBj9aJF0or/OIj5hbcoVKU0GdEmSmtGTtrdoKzrTln3pA0AEnmZ2ugUpVQZ0SZKakSeIqjbjbHNRwoAuSVIz+Zg1vMViAFpSwSHsknJFKiTjqi1YNCu1OpQ+A7okSc3kqZzQtT996Uib9IpRwTmEfrRKotnbLGYxq1OuSGkxoEuS1EycXlHb0oHWHMDO2W1XFS1fBnRJkppJbv/5WAO6tsLpFgUGdEmSmsVHrGYqSwBoRQUH23+urbAPXWBAlySpWeSOnh/IzrSndYrVqFAdyM60pSUA01jKfFamXJHSYECXJKkZ5LYrHOH0iqpFW1pV+3Rlkm0uZcmALklSM3g8J2iNZ1CKlajQ2YcuA7okSU1sFsuYyTIA2tOKA+ibckUqZPahy4AuSVITyx0FPYx+tE56jKWt2Y++dKAVALNYzofJH3cqHwZ0SZKamP3nqo9WtOAw+me37UMvPwZ0SZKaUCTaf656sw+9vBnQJUlqQu+xhEXJku1daMte9Eq5IhWDmn3okZheMWp2BnRJkprQ48zM3h7HAFr4q1d1sDe92YE2ACxgFdNYmnJFak6+S0iS1ITsP1dDtKCCMdVG0W1zKScGdEmSmkglVdWmybP/XPWR2+ZiH3p5MaBLktREXmcRy1kPQG86MpzuKVekYpL7icuTzKKKqhSrUXMyoEuS1ERy+8+PYCCBkGI1KjYj6UF32gPwMWt5m8UpV6TmYkCXJKmJPG7/uRqhgopqbS6P2+ZSNgzokiQ1gY1sZjKzs9v2n6shjsz5f/NYzicyKm0GdEmSmsALzGMdmwEYTFf60yXdglSUcgP6U8xiY/J/SqUtLwE9hHB6COGqEMLkEMLKEEIMIdzYgOPMSp67tcuifNQqSVJzcHpF5cMgdmRg8sfdGjbxEvPTLUjNomWejvNDYE9gNTAPGN6IY60ArtjK/tWNOKYkSc0qt1/Y9hY1xngG8VdeBTJtLofSP+WK1NTyFdC/RSaYTwfGAJMacazlMcbL8lGUJElpWMNGXmBedjv3RD+pvo6sEdAvY1zKFamp5SWgxxizgTwEp5CSJJW3ycxmczJn9Sh60IOOKVekYpbbIvUi81nFBjrRJsWK1NQK8STRNiGEc0MI3w8hfCOEMC6E0CLtoiRJqiv7z5VPO9GBvegFwGaqeDpndiCVpny1uORTL+CGGvs+DCFcGGN8qi4HCCFMqeWuxvTGS5JUJ/afK9+OZBCvk5kv4zFmcjxDU65ITanQRtCvBcaTCekdgFHAn4ABwIMhhD3TK02SpO37hLW8xkIAKggc7gl9yoPxOZ/EOB966SuoEfQY409q7HobuDiEsBr4DnAZcEodjjN6a/uTkfV9GlmmJEm1epJZxOT2fvRhB9qmWo9Kw2H0pxUVbKKKt1nMIlbRi05pl6UmUmgj6LX5Y3J9eKpVSJK0Hbmjm/afK1860JqD2SW7nXueg0pPsQT0j5PrDqlWIUnSdjzCjOztCQxOsRKVmtxVRW1zKW3FEtAPTK793yhJKlgz+YQZLAOgPa04KGfEU2qs8TUCesw2U6nUNHtADyG0CiEMDyEMrrF/RAjhUyPkIYQBwO+SzRuboURJkhrk0ZxxpLEMoE1hneqlIrcffehEawDmspIPWJpyRWoqeXnnCCGcDJycbPZKrg8KIUxMbi+JMX43ud0XmArMhmpLq50JfCeE8HRy3ypgMHA80BZ4APhlPuqVJKkpPJrT3nKU0ysqz1rSgnEM5J+8D2Sm8xxK95SrUlPI15/2ewHn19g3KLlAJnB/l22bBAwD9gYOIdNvvhx4hsy86DfEGP0sR5JUkDZTWW3+c/vP1RSOZFA2oD/GTL7KfilXpKaQl4AeY7yMzBSIdXnsLCBsZf9TQJ0WIpIkqdC8wgKWsx6APnRiBDulXJFKUe586E/wIZVU0aJoTilUXfmKSpKUB7n95xMYTPj0WJTUaCPYid50BGA563k1WRRLpcWALklSHjxi/7maQSBUm27xcSe4K0kGdEmSGmkl63mBedntIw3oakLOh176DOiSJDXSk8xiM1UA7EUveiQtCFJTyJ0P/RnmsI5NKVajpmBAlySpkWr2n0tNqS+dGZ5Mr7iBSp5hTsoVKd8M6JIkNZL952puuf/PHmZ6ipWoKRjQJUlqhNksZ1qyomNbWnIo/VKuSOXgaIZkbz+c8weiSoMBXZKkRshdPfRw+tOWVilWo3IxlgG0pgUAb7OY+axMuSLlkwFdkqRGsP9caehAaw7L+bTGNpfSYkCXJKmBKqmqNs2d/edqTra5lC4DuiRJDfQaC/mEdQD0pAOj6JlyRSonx+QE9EeZQWUy1aeKnwFdkqQGqj57y2ACIcVqVG5G0oM+dAJgGet5mfkpV6R8MaBLktRA9p8rTYFQ7f+dbS6lw4AuSVIDrGYDz+YsEHOk/edKwTHV+tA9UbRUGNAlSWqAp5nNpqTndxQ96J20GkjN6UgGZRurXmQ+y5JzIlTcDOiSJDXAwzX6z6U0dKM9+9EXgCpitVmFVLwM6JIkNcCDfJC9bf+50nR0tT5021xKgQFdkqR6ms5SPuATANrTijH0T7kilbPcPvSHmE4kpliN8sGALklSPT2YM0o5noG0pVWK1ajc7U9fdqANAPNZxbt8nHJFaiwDuiRJ9fRATnvLseyaYiUStKRFtVmEbHMpfgZ0SZLqYS0bmcSH2e1jc9oLpLTUbHNRcTOgS5JUD5OYxQYqAdiNnRhA15QrkuDonID+NLNZy8YUq1FjGdAlSaqH3PaW42xvUYHYhR0YQXcANlDJ08xOuSI1hgFdkqQ6ikQDugqWbS6lw4AuSVIdvc8SZrEcgI605hB2SbcgKUdum0vuQloqPgZ0SZLqKHf0/CgG0ZqWKVYjVXc4/Wmb/J98jyXMTv6YVPExoEuSVEe2t6iQtauxaJZtLsXLgC5JUh2sYkO1E++c/1yFKPf/5f1MS7ESNYYBXZKkOnicmWyiCoA96UlfOqdckfRpJzA0e/sxZrKOTSlWo4YyoEuSVAe2t6gYDGZHhifTLa5jM0/kLKql4mFAlyRpOyKRB3P6eW1vUSE7MWcU/T7bXIqSAV2SpO14m8XMYyUAO9CGg9g55Yqk2p1QI6BHYorVqCEM6JIkbUdue8vRDKElLVKsRtq2g9mFrrQFYB4reYNFKVek+jKgS5K0Hfafq5i0pEW1NizbXIqPAV2SpG1YzjqeZU52O3c5dalQ5ba53GtALzoGdEmStuExZlKZ9PDuSx960jHliqTtO4YhtCAA8BLz+YjVKVek+jCgS5K0DffntLcc6+i5ikRX2nEo/bLbuW1aKnwGdEmSalFJVbX+XfvPVUyqt7m8n2Ilqi8DuiRJtXiOuSxhLQC96Mj+9E25IqnucgP6I8xgA5tTrEb1YUCXJKkW9/Be9vZnGEaFvzZVRIbRnSHsCMAaNvEUs9ItSHXmO40kSVsRidydE9BPZniK1Uj1FwifWrRIxcGALknSVrzDYmawDICOtOYIBqZckVR/NadbdFXR4mBAlyRpK+7JOanuWIbQhpYpViM1zGH0ozNtAJjFct7l45QrUl0Y0CVJ2grbW1QKWtOSoxmc3bbNpTgY0CVJqmEeK3iFBQC0pMLpFVXUnG6x+BjQJUmq4Z85IWYsA+hCuxSrkRrnOHZN1hSF55nHEtakWo+2z4AuSVINtreolHSnAwexCwBVRB5kesoVaXsM6JIk5VjOOiblzBf9GYalV4yUJ7ltLrnz+6sw5SWghxBODyFcFUKYHEJYGUKIIYQbG3isnUMI14QQFoQQNoQQZoUQrgghdM1HrZIkbcuDTGczVQDsSx92YYeUK5Ia75ScT4IeZDpr2ZhiNdqefI2g/xC4BNgLmN/Qg4QQBgNTgAuBl4DfADOBbwDPhxC6NbpSSZK2Ibe95SRHz1UihrMTI+gOwFo28ZBtLgUtXwH9W8BQoDPw1UYc52qgB3BpjPHkGOO/xxiPIBPUhwGXN7pSSZJqsYHNPMAH2W37z1VKTmO37O07mJpiJdqevAT0GOOkGOMHMcYGL0+VjJ5PAGYBv69x938Ca4DzQggdGlyoJEnbMIkPWZ189D+YruxOj5QrkvLnNEZkb9/HNDawOcVqtC2FdJLouOT6kRhjVe4dMcZVwLNAe+DA5i5MklQeqre3DCdkJ6eTit+e9GIQmVP6VrKBx5iZckWqTSEF9C2NfrUtcbXlM8ehtdyfFUKYsrUL+FmlJGnrqqjinpz5z21vUakJhGqj6HfwborVaFsKKaBvOU1+RS33b9nfpelLkSSVm5dZwCJWA9Cd9hyczBstlZLcPvR7eJ9NVKZYjWrTMu0CmkKMcfTW9iej6Ps0czmSpCKQ295yIkNpUVBjWFJ+7EcfdqYz81jJJ6zjaWYznkFpl6UaCundZ8sIeW0Tzm7Zv7zpS5EklZNI5K6cWS1sb1GpqqCCU21zKXiFFNC3NP7V1mO+a3JdW4+6JEkN8iYf8T5LAehAK450RFElLDeg38V7VFG1jUcrDYUU0Ccl1xNCCNXqCiF0Ag4B1gIvNHdhkqTSditvZ29/hmG0p3WK1UhN61D60YPMrNWLWM1zzE25ItXU7AE9hNAqhDA8mfc8K8Y4A3gEGAB8vcbTfgJ0AG6IMa5plkIlSWUhErmVd7Lbn2NkitVITa8FFdXauFy0qPDk5STREMLJwMnJZq/k+qAQwsTk9pIY43eT232BqcBsMmE819eA54DfhhDGJ487gMwc6dOAH+SjXkmStniFBcxkGQA70IajGZJyRVLTO40R/JkpANzJVH7N0c77X0DyNYvLXsD5NfYNSi6QCePfZTtijDNCCPsC/wUcAxwHLASuBH4SY1yWp3olSQKqt7eczHDalOYEZ1I14xhIV9qyjPXMYQWvsID96Jt2WUrkpcUlxnhZjDFs4zIg57Gzau6rcay5McYLY4y9Y4ytY4z9Y4zfNJxLkvKtiipus71FZagVLfhMdo1IZ3MpNIV0kqgkSc3qeeYxl5UAdKOd80GrrOQuWnQHU4nEFKtRLgO6JKls5ba3nMoIWtEixWqk5nUUg+iYzFg0nU94m8UpV6QtDOiSpLJUSRW353ysb3uLyk1bWnFCzvIztrkUDgO6JKksPc1sFrEagJ50YMynJhaTSl/uokW38LZtLgXCgC5JKku57S2nsxst/JWoMnQ8u2bbXN5nKa+yMOWKBAZ0SVIZ2kRltcVZbG9RuWpP62qj6DfyZorVaAsDuiSp7DzBhyxhLQB96cTB7JJyRVJ6zmFU9vYtvE0lVSlWIzCgS5LKUG57y5mMpMJfhypjRzCQnnQAYBGreYIPU65IviNJksrKBjZzF+9lt89k9xSrkdLXkhaclTOKbptL+gzokqSy8ggzWM56AAbSxeXNJaq3udzJVNayMcVqZECXJJWVmu0tgZBiNVJhGE0fhtINgNVs5F6mpVxReTOgS5LKxho2cg/vZ7dtb5EyAoFz2SO7bZtLugzokqSycQfvsjr56H443dmTXilXJBWOs3PaXB5iOktYk2I15c2ALkkqG9fyevb2Bexle4uUYzA7ciA7A7CZKm7n3ZQrKl8GdKlIVVHFajbwEav5kGW8zUdMYQHzWUmVc9hKnzKTT3iSWQBUEDgv5+N8SRm2uRSGlmkXIGnbNlHJOyzmZRbwCgt4mfm8z1LWsqnW57Sign7swAC60J8uDKALo+nNWAbQPlnSWSo31/FG9vaxDKEPnVOsRipMn2V3vsGDVBJ5jrl8yDIG0jXtssqOAV0qQO+zhBt5k8eYyessYj2b6/X8TVQxg2XMYFm1/W1pyRj6cyy7cixD2JVufsSvslBFFRNz2lsuZO/0ipEK2E504GiG8AAfAHAzb/EDDk+5qvJjQJcKxMes4Rbe5gbe4GUW1Ok57WlFe1rRgVZ0oDUtqWABq7JLmNe0ns08zAweZgbfBAbRlVMZwdfYzxESlbQn+JA5rACgG+04kaEpVyQVrnMYlQ3oN/Im3+cwB3OamQFdSlEVVdzD+1zDazzEdDbX0jvenx3Ylz7sR1/2pQ9704sutK11efI1bGQ2y5nNCmaxnPdYwqPMYCpLqj1uJsv4Jc/xa57nZIbzTQ7kUPr5RqySk3ty6DnsQWt//Um1OonhdKAVa9jEeyzhNRayD33SLqus+A4lpSASuZv3+E8m8RaLP3V/a1pwAkM5m1EcRj960LFex+9Aa3ajB7vRo9r+WSzjIabzINN5nJmsSfrYq4jcyVTuZCr70JtvciBnsrshRiVhOeu4k6nZ7QvZK71ipCLQgdacwojsSaI38ZYBvZk5i4vUjCKR+5nGvvyZU7n1U+H8EHbhj5zAQr7DHZzJaexW73C+LQPoysXsxz2cxVK+x72cxQQGV3vMqyzk89zFQK7kOl53RhgVvVt5J3sex970Yi96p1yRVPjOyZkT/SbeZBOVKVZTfhwek5rJo8zgRzzBi8yvtr8DrbiE/fkyoxnEjs1WTxtacgLDOIFhvMNifsuLXM8b2SCzgFVcwN38npe4kmM5iF2arTYpn67htextTw6V6uZIBtGHTixgFR+xhnt5n1PZLe2yyoYj6FITW8QqzuA2JnBDtXDejpZ8l4P5kG/yc45q1nBe0+704E+cyFy+xU8ZT6+cUfuXWcDB/I3zuJP5rEytRqkh3mUxLyU/d61pUW2lREm1a0kLLsr5g/ZPTEmxmvJjQJeaSCTyN15lBL/nHzmrsbWhBd/gAGbyDf4fE9iJDilWWV13OvAfHMYH/As/4DDa0CJ73428yVCu4n94ig31nPZRSkvuyaGfYRjdaJ9eMVKR+SL7ZKcMeIQZfFhj6l41HQO61ASms5TxXMcX+SfLWZ/dfwF7MZ1LuYJj6UWnFCvcto604X8Yz1Qu4TRGZPevZRM/YhIH8Bfe5qMUK5S2bxOV3JCzOJEnh0r1058uHMOQ7PZfeTXFasqLAV3Ko81U8r88wyj+wKRkSXHIzDf+GJ/nWk5mZ3ZIr8B6GkhX/sGZTOJ89qBndv8bfMS+/Jnf8LwnkapgPcgHfMQaAPrQ6VMnREvavi8zOnv7Gl7zZNFmYkCX8mQBKxnP9XyPx7InWlYQ+FcO5i2+yngGpVxhw41lIK/yFa7kGNom55ZvoJJv8zATuIF5yQIwUiHJbW/5PHvSMqdlS1LdHM9QeifnJS1iNfcxLeWKyoMBXcqDx5jBXvyRp5md3bcnPXmJL/G/TKA9rVOsLj9aUMGlHMirfIW96ZXd/zgfMoo/cCtvp1idVN1HNYKE7S1Sw7SqcbLonz1ZtFkY0KVGqKSKy5jEBG7gY9YCmVHzyxjLy3yZ0SW4sMMIduIFvsh/cGj25KHlrOdz/IMv8U9PIFVB+DNTsivzHswuDKV7yhVJxesLOSeLPsx0ZnmyaJMzoEsN9BGrOZob+AlPEZN9PenAo5zHfzKWViX8cXprWvJTjuQpLqR/Tk/9X3mVsUxkgdMxKkUb2cwfeDm7fQn7p1iNVPwG0jV7DkcE/paztoCahgFdaoBnmM1e/JHH+TC7bywDeJ2LOaKIe83r6zD68yZfrTa39AvMYzR/5nnmpliZytkdTGUhqwHoTcdqMxFJapjck0X/xqts9mTRJmVAl+rpel7nCK5jURIAAvAjDucxPl/QUyc2lc605UZO5dccTYvkQ9BFrGYM1/IXexWVgt/yYvb2V9mP1i6aLTXaiQyjZ7Jux0JWcz8fpFxRaTOgS3VURRU/5HHO5242Jb2t3WnPQ5zLf3EELcr4xykQ+BYH8TDn0Y12AGyiii9zL1/lPjbal65m8hLzeIF5QGbl0NxRP0kN58mizat8E4VUD+vYxFncweVMzu4bSQ9e5ktMyFnEodyNZxCv8GX2zJkz/Y+8wlHcwDLWpViZysVVvJS9/TlG0jOZHk5S432RfbK3H+QD5rA8vWJKnAFd2o5FrGIsE7mNd7L7jmEIz3IRA+iaYmWFaQBdeY4v8DlGZvc9zWwO5RrfzNWkFrGq2nSfl3JAitVIpWcQO3JUcp6VJ4s2LQO6tA1v8REH8FdeYn523yXsz72cRWfaplhZYWtPa27mNH7Okdl97/IxB/JXXmdhipWplP2ZKdn2s4PYuSSnOZXSlts29ldedWXRJmJAl2oxmdkcxjXMSVbJrCDwW47lKo5zRcI6CAS+x6HczGm0St5qFrKaw7mWR5mRcnUqNZmpFV/Jbjt6LjWNz+ScLLqAVdU+XVb+GNClrbiX95nADaxgAwAdac29nMW/+Eu/3s5iFA9zHjvQBoBVbOQ4buL6nGXYpcb6B+9mZ1bqQydOY7eUK5JKU2taVltb4Jc8R8yuBqJ8MaBLNVzP65zCLaxPZh7pSQcmcyHHMTTlyorXOAYymYvYmc4AbKaK87mbn/K0b+zKi+pTK+5b0guFSWn7KvvRLpm+9HUWMSlnTRDlhwFdyvFrnuN87qYyCY0D6cKzfIG96J1yZcVvFD15ni8wih7ZfT/gCf6NRw3papQXmceLyXkiTq0oNb1utOfCnCkXf8lzKVZTmgzoEhCJfJ/H+A6PZPftQU+e5QsMZscUKystO7MDk7mIIxiY3fdLnuNi7qMyOblPqq+rckbPz2IkPZxaUWpy3+LAZGk6eJDpvMPiVOspNQZ0lb1KqriY+/gZz2T3HUo/nuICepfhyqBNbQfacj9nczLDs/v+zBTO5U5nA1C9LaxxkprniUjNYwjdqr2P/5rnU6ym9BjQVdY2U8n53FVtRbTj2ZWHOZcuyYqYyr+2tOJ2zuA89sjuu4W3OYVbWMemFCtTsfk1z2enVjyYXZxaUWpG3+Xg7O0beZNFrEqxmtJiQFfZ2shmzuIObuKt7L5z2YO7+BztaZ1iZeWhJS2YyMl8jf2y++7nA47jJlYls+dI2/Ixa7ial7Pb/5oTFiQ1vYPpx4HsDMBGKvldzkq+ahwDusrSejZxOrfxD97N7vsKo7mOk539oRlVUMHvOI7/4NDsvieZxZFczzLWpViZisGveZ61yScue9KTk3I+bpfUPHJH0a/mZdawMcVqSocBXWVnLRs5iVu4l2nZfd/gAP7ACVT4I9HsAoGfcmS1VUdfYj7juY6lrE2xMhWypaytNlr3I8YQsqesSWouJzOcQXQFYBnrmegaF3lhGlFZWc0GjudmHslZyfLfOZTfcIy/3FP2PQ7lao7Pbr/GIsYxkcXJ4jNSrt/wPKuTkbrd2YlTHD2XUtGCCr7FgdntX/O8s3LlgQFdZWMl6zmaG3mSWdl9P2EsP2W84bxAfJX9+Bufyb4ab7GYsUxkoSceKccy1lVbmOhHjPHTLylFF7I3XWkLwEyWcQ/vpVxR8cvbO1oIYecQwjUhhAUhhA0hhFkhhCtCCF3rcYwnQwhxG5e2+apX5WUF65nADTzH3Oy+X3AkP2as4bzAXMQ+XM8pVCSvy1SWMJaJzGdlypWpUFzJC6xKRs+H053T2S3liqTy1oHWfDXnhH8XLmq8lvk4SAhhMPAc0AO4B3gP2B/4BnBMCOGQGOPSehzyJ7Xs39yoQlWWlrOOo7mRl5KVBgGu5BguzflIToXlXPakFS04hzuoJDKNpYzhWp7gfPrRJe3ylKIVrOcKXshu/4jDaeHouZS6S9ifX/IcG6nkeebxBDM5gkFpl1W08hLQgavJhPNLY4xXbdkZQvg18C3gcuDiuh4sxnhZnupSmVvGOiZwA6+wILvv9xzH19g/xapUF2cyklZUcCb/YDNVzGAZh3Mtk7iAgdT5gzmVmKt4kRXJNJxD6caZjEy5IkkAvenE+ezJX3gVgB/yBM8y0E+pG6jRww7J6PkEYBbw+xp3/yewBjgvhNChsV9Lqo9PWMuRXF8tnP+B4w3nReRUduNOzqR1MvXlbFYwlonM4JOUK1MaVrGh2mqFP+AwR8+lAvJDDs++Xz/PPB7gg5QrKl75eGcbl1w/EmOsdtpujHEV8CzQHureTxBCODOE8O8hhG+HEI4NIbTJQ50qI1vC+asszO77EydwcU6PnIrDiQzjHj5Hm+RNf04S0qdTn645lYLf8xLLWA/AILpyNqNSrkhSrn504SuMzm7/kCeockaXBslHQB+WXE+r5f4tfz4NrccxbwF+BvwKeACYE0I4va5PDiFM2doFnIerHCxlLeO5ntdYBEAA/sKJfJl90y1MDXYMu3IvZ9M26cqbx0rGMJFpLEm5MjWX1WzgVzVGz1u6qJhUcL7PYbRL3qtfZxF3MjXliopTPgL6Dsn1ilru37K/Sx2OdQ9wIrAz0I5MoP5Z8txbQwjHNLhKlYUlrGE81/F6Tjj/K5/hizl/0as4HcVg7uPs7Bv/AlYxhom8x8cpV6bmcCUvsiRZuGoAXTiPPVOuSNLW9KITl3JAdvvHTHJe9AYoqOa9GONvYoz3xRjnxxjXxxjfjzF+H/gOmVp/VsfjjN7aBZyYs5Rlwvn1vMFHQCacX8NJXMQ+6RamvBnPIB7gHNrTCoBFrGYsE3mXxSlXpqY0n5X8jMnZ7R9wGK0cPZcK1r9yCJ3JdCdPZQk38WbKFRWffAT0LSPkO9Ry/5b9yxvxNf5KZorFvUIInRpxHJWoj1nDEVzHmznh/FpO5gL2Trcw5d1YBvIg59AhCekfsYaxTOSt5LVX6fkPHmMNmwAYRQ8uYK90C5K0Td1oz7c5KLt9GU+yicoUKyo++Qjo7yfXtfWY75pc19ajvl0xxvWQXUrQ2WBUzWJWcwTX8VYyihqA6ziF8/0lXrIOZwAPcx4daQ3Ax6xlHBN5PeekYJWGF5nHDTmjb1dwjL3nUhH4FgfSjXYAfMhyruG1lCsqLvkI6JOS6wkhhGrHS0a7DwHWQs7KEvUUQhgGdCUT0j0rTFlbwvnbSTivIHA9p9ifWgYOoR+PcF72Y9SlrOMIruOVnAWpVNyqqOIbPJjdPoXhLnwiFYnOtOV7HJrd/m+eYn3ySZi2r9EBPcY4A3gEGAB8vcbdPyEz4n1DjHHNlp0hhOEhhGozqoQQBoYQdqx5/BDCTsC1yeYtMUZXExUAHyXh/J3kJMEt4fxcw3nZOIhdeJTz6EJbAJaxnvFczwvMTbky5cPNvMWLyR9crWnBL5mQckWS6uPr7EcvOgIwn1X8gVdSrqh45Osk0a8Bi4HfhhDuDiH8LITwBJlVRKcBP6jx+KnJJdcYYEEI4bEQwp9DCD8PIdxMZprGg4BXgH/LU70qcgtZxVgmVgvnN3AK57BHypWpue3PzjzO59kx+Sh1JRs4iht4htkpV6bGWM0Gvsdj2e1vcSCD+NQYjqQC1p7W/IDDsts/YzKrkpWAtW15CejJKPq+wETgADKzrgwGrgQOjDHWZUWRKWTmP+8JnJYc4xjgLeBS4JAY4/J81KviNo8VjOFa3ku6nSoI3MipnG04L1v70IdJnM9OtAdgNRs5mht5kg9TrkwN9QueZUFy6lEvOvIDDk+5IkkN8SVG0y+ZL+Rj1nI5T6dcUXHI2zSLMca5McYLY4y9Y4ytY4z9Y4zfjDEu28pjQ4wx1Nj3VozxghjjqBhjtxhjqxjjjjHGw2KMV8UYN+arVhWv2SxnDBP5IFnqvQWBWzids1xRsOztQS+e5AJ6JueRr2UTx3ITjzA95cpUX7NZzi95Lrv9U8bTCReUlopRG1ryPxyR3f4VzzPV9Su2q6DmQZe2ZSafMIZrmUnmb75WVHA7n+UMdk+5MhWK3ejBU1xIHzKzsa5nMyfyd+5yJbui8m88ynoypxuNpjfne16JVNTOZQ8OpR8Am6niEh4gElOuqrAZ0FUUPmApY5jI7GTa/da04E7O5BRGpFyZCs0wuvMUF2Q/Ut1IJWdwGzfwRsqVqS6eZha38U52+0qOpcJfVVJRCwR+z3G0INM88QQfVvs516f5rqeC9x4fM4ZrmcdKANrSkn9yFicwLOXKVKiG0I3JXMiuyUmFlUQ+z138gZdTrkzbsoaNfJF/Zrc/x0gOSUbdJBW3PejFv3BAdvvbPOwJo9tgQFdBe42FHMa1LGQ1AO1oyX2czdEMSbkyFbp+dGEyFzGKHtl9X+N+fsEzKValbfl3HsueX9KJ1vwvR6VckaR8uoyx2WkXF7CKn/BkugUVMAO6CtazzGEcE1nCWgA60IoHOZfxLlSiOupJR57kAg6gb3bfv/MYP+Bx+x8LzOPM5He8lN2+kmPZJWlTklQadqBttfUMruAF3uajFCsqXAZ0FaRHmcEEbmBF8vFXF9ryGJ9nDAPSLUxFZ0fa8yifZ2zO/52fMplLeIBKqtIrTFkrWM+F3J3dPpGhXMBeqdUjqemczSjG0B/ItB96wujWGdBVcO5mKidwM2uTJYF70IEnuYAD2SXlylSsOtGGBziH49k1u+9qXuZMbnfp6QLwDR5kbnKOSTfa8WdOJBC28yxJxShzwujx2RNGn2I2f+etlKsqPAZ0FZQbeYPTuY2NVAKwC52ZzIXsSa+UK1Oxa0cr7uRMPsfI7L47mMrR3Mhy1qVYWXm7m6lclzPDzh85gV7JNJmSStPu9OCbHJjd/g6PsIL1KVZUeAzoKhhX8xKf5y4qk4+6hrAjz3ARQ+mecmUqFa1pyU2cyrdyfjE8zWwO41rmJVN4qvksZjVf5t7s9jmM4nTXNZDKwn8yNrtmxSJW8y0eSrmiwmJAV+oikR/yOF/ngWwX2ih6MJkL6UeXNEtTCaqggl9zTLUTld5mMQfxN95hcYqVlZdI5GLu4+PkJPC+dOIqjku5KknNpRNt+A1HZ7ev5XX+4dzoWQZ0pWozlXyRf3I5k7P79qcvT3KBH3OrSX2Hg7mRU2mZvA3OYyWHcg2TmZ1yZeXhet7gLt7Lbv+Nk+hKuxQrktTcPstIzmZUdvvL3OunmQkDulKzho2czC1cw2vZfccyhCc4nx1pn2JlKhfnsAf3czYdaQ3ActZzJNdzPa+nW1iJe5n5XMx92e2vsq9rG0hl6vccR/9kStVlrOfz3EWVM2wZ0JWOJaxhPNdxPx9k913AXtzDWXRIwpLUHCYwhKe4gB50AGAjlZzP3fw7j/pLognMZyUn8XfWsxmAYXRzQSKpjHWhHTdwKhXJrC6TmMWveD7lqtJnQFezm8UyDuEaXmR+dt/3OYxrOIlWtEixMpWrfejDC3yRkTmrjv6CZzmVW1ntUtR5s5aNnMTfsysDd6Ut93I2HWmTcmWS0nQY/fkPDs1u/4DHeZUFKVaUPgO6mtULzOUA/so0lgIQgN9xHJcz3nmPlaqBdOVZLqo2V/o9vM8hXMNslqdXWImIRC7kHqawEIAWBP7BZ9mVbilXJqkQ/Cdj2Y8+AGyiinO4k7VsTLmq9BjQ1Wxu5k3GMpHFrAGgNS24jTP4OvunXJmU0Zm23MNZfJeDs/ve5CP25y88x5wUKyt+/8VT3JYzQ8NVHMcRDEqxIkmFpBUtuInT6EArAN5jCd/lkZSrSo8BXU2uiip+zBOcw51sSBYg6kY7HuU85zxWwWlBBf+PCUnLVeYtcjFrGMtEfssLLkndALfzDpfxZHb76+zHV9kvvYIkFaRd6caVHJvd/gOvcBdTU6woPQZ0Nam1bORM/sF/83R23wi68yJf4nAGpFeYtB0XsjePcz7dkxmFNlHFN3iIM7jNFe/qYQoLOJ+7sttHMogrOCbFiiQVsovYm1MZkd0+jzt5PWmNKycGdDWZBaxkDBP5B+9m9x3NYJ7niwxmxxQrk+rmMPrzMl9i36QvEuAOpjKaP/FaGf7CqK/XWMgx3Mi6ZMaWoXTjNs6gpSeDS6pFIPBnTmRgslDhGjZxAjezgJXpFtbMDOhqEs8wm335M6/knIX9L+zPfZzNDrRNsTKpfgbQlWe4iEtyzpWYwTIO4q/8mVdseanFi8zjCK5jSbJSaBfaci9nuRiRpO3qRnvu42w6JzM8zWcVJ3FLWZ00akBXXkUiv+F5xjIxO5VaCwJXczy/5ThHzlSU2tCSqziOWzmdTsk8/Ruo5CvcxzncwTLWpVxhYXmaWRzJ9SxPWoG60JaHOZehdE+5MknFYjd6cDtn0CKZ4e0VFpTVIkYGdOXNStbzWW7n2zxMZTKq2I12PMS5nhCmkvBZRvIKX2YPemb3/Z23GcnV3M+0FCsrHI8xg2O4kdXJSFd32jOJ89mfnVOuTFKxmcAQruK47PYdTOWHPJFiRc3HgK68eJuP2I+/VOs335++vMpXOJLBKVYm5ddQuvMCX+SL7JPdt4BVnMDNXMjdLC/j0fT7eJ8TuDnbc96LjjzFBexF75Qrk1Ssvsp+fIMDsts/4xmu4/X0CmomBnQ12k28WW3xIchMo/Y0F9IvOclDKiXtaMVf+Ax3cSY96JDdP5HXGcnVPMgHKVaXjtt4m1O4NTuV6i505mkuZLec1VklqSF+xdHVFpH7Ev/kST5MsaKmZ0BXg61gPedxJ+dyJ2vZBEB7WnETp/I7jqcNLVOuUGpaJzOCd/k6ZzEyu28+qziOm7iIu/k4WZSrlG1kM9/iIc7kH2xOekMH0ZWnudBVQiXlRQsq+DunMyr5g38TVRzPzSUd0g3oapCnmMUe/IEbeTO7bxjdeIkvcTZ7pFiZ1Ly60Z6bOZ07+Cw7JXOmA1zL6wzht/yK59iYtHyUmpl8wiFcwxW8kN03jG48zYUMoGuKlUkqNZ1ow32cTS86ArCWTRzHTTzGjJQraxoGdNXLBjbzPR5lHBOZw4rs/s+zJy/xJXb342yVqVPZjXf4Op/NWR13JRv4Lo+wO1fzT94rqSkZb+cd9uZP1aZSPZGhPMcX6EvnFCuTVKr60YUnuYA+dAJgHZs5gZt5qATbCg3oqrN3WMwB/IX/5dlszNiRdtzOGVzHKXR2fnOVuZ3owK2cwX2czdCc9o7pfMJJ3MIEbuAtPkqxwsZbzya+xn18lttZyQYAWlHBbziaeziLHXM+RZCkfBtGd57iAnZOBgI2UMlJ3MJ9vJ9yZfllQNd2bWQz/8NTjOZPvJETLo5iEG/xVU7PGTGUBMczlLf4Kr/haLrk/OH6GDPZiz/yWW5jSs7IczGIRO7jffbhT/yBV7L7B9GV5/gC3+QgQjJfsSQ1pSFJK11/dgBgI5Wcyq3czdSUK8sfA7q26Rlmsxd/5EdMys7O0JaWXMkxPMS59PGjbGmrWtOSb3IQH/AvfI39qEjCaxWR23mXffkzR3E9jzOz4FtfXmQeY5nIifydqSzJ7j+d3XiVr7AvfVOsTlI5GkhXnuJCBiXnu2yiijO4nb/zVsqV5YcBXVu1jHV8iX9yGNdW+4W8L32Ywpe5lAOp8L+PtF3d6cDvOZ43uJhjGVLtvseYyZFcz378mdt5h03JH8GFYhpLOJ1bOZC/8jSzs/s70pqrOZ7bOIMdbG2TlJL+dOEpLmAIOwKwmSrO5g7+g8eoLPIVR50HT9VEIrfwNt/kIRbnTBHXkdZczhF8nf1pYTCX6m0kPXmAc3mdhfwvz3Ir71CVjJxPYSGf5Xa60Y4z2J1zGMXB7JLKH8GRyHPM5Rpe4zpez64KDNCSCi5mX37E4fRIZlKQpDTtzA48xQWM53reSwYUf84zvM4ibuY0utIu5QobJsRY2B+t5lMIYco+++yzz5QpU9IupSC9yDy+w8M8y9xq+09iGFdxHLskvV6SGm8mn/ArnucaXmP9VqZh7M8OnMUozmIko+jZ5P3d7/ExN/EWN/EmH7L8U/d/lt25nCMY4tzmkgrQctZxNnfwINOz+wbTlXs4K7UZ5kaPHs2rr776aoxxdH2fa0AXM/mE7/M4t/JOtf196cTvOI6TGZFSZVLpW8xqruIlruN15rJyq4/pSQcOoR+HsAuH0I+96UXrRn4Auox1vMZCXmYB/+DdatMl5hrHAH7BUexnn7mkAldJFT9mEj9lcnZfB1pxPadwKrs1ez0G9DoyoFf3CWu5nMlcxYtsyunVakUFl7A/lzHWqROlZlJFFc8yl5t4k9t5l09YV+tj29GS/ejLEHakD52qXXrRkUhkLZuylzVsYjUbmcrHvMpCXmMRs7YySr5FF9pyBrtxHntyKP2cnUVSUbmDdzmfu1iTrHIO8AMO4yeMa9Y23cYEdHvQy9By1vF7XuZXPMcy1le77wx242ccyeDkhAtJzaOCCg6jP4fRn99yLA8zg5t4k4eYzopkvvEt1rGZp5ld7cTNxmpNC05gKOeyB8exK2389SCpSJ3GbgyjGydzCzNYBsDlTKYHHbiUA1Ourm58By4jS1jDFbzAVbyUXWBki4PZhV8ygYPYJaXqJG3RmpacyDBOZBhVVPEuH/MMc3iWuTzLnK32iNdXKyoYSQ/2oTcHsQunMqJoT6aSpJpG0pOX+TJn8Q8eZgb705cvU++B7NQY0MvAAlbyS57jT0xhbc7HPZA5geIXHMWpjPBjbKkAVVDBSHoykp5czH5A5mf6VRYyn1UsZBULci6LWE0LKmhPKzrQivY5l13YgX3ozd70Yjd2anQfuyQVsq60437O4adM5iL2pi2t0i6pznx3LmGvMJ+reZmbeIuNNeZXHkY3vs9hnMUoWtEipQolNUQfOrtImCTVQQsq+BFj0i6j3gzoJWYdm7iVt7mal3l5K7My7EFPfsjhnMoI5zOXJEkqQAb0EvEeH/NXXuUaXvvUiZ8AB9CXH3I4xzPUVhZJkqQCZkAvYvNYwS28zc28xWss+tT9bWjBmYzka+zH/vQ1mEuSJBUBA3qRWcpa7mQqN/MWTzGLrc1iP5AuXMy+XMTedKdDs9coSZKkhjOgF7hI5B0Wcx/TuI9pPM88qrYSy1vTguPZlS+yD0czxP5ySZKkImVAL0DLWcdk5vAQ07mPacxhxVYfV0HgCAZyNqM4heF0cQ5jSZKkomdALwBLWJNdFfApZvMGi7baugIQgAPZmc+yO2cykt50as5SJUmS1MQM6M1sNRt4nUVMYSFTWMArLGAqS7b5nM604RiGcAJDOYYh7GRfuSRJUsnKW0APIewM/BdwDNANWAjcDfwkxrisHsfZEfgxcDLQG1gKPAT8OMY4L1/1Nqc/8wrPMIcpLGQqH9c6Or5FBYF96M1YBnAcu3Io/VxMSJIkqUzkJaCHEAYDzwE9gHuA94D9gW8Ax4QQDokxLq3DcbolxxkKPAHcAgwHLgSODyEcFGOcmY+am9P1vMGzzK31/lZUsB99OZz+jKE/B7MLnWnbjBVKkiSpUORrBP1qMuH80hjjVVt2hhB+DXwLuBy4uA7H+SmZcP7rGON3co5zKXBl8nWOyVPNzWZf+mQDegWBEXRnX/owmj6Mpjd70Yv2tE65SkmSJBWCEOP2Gi62c4DM6Pl0YBYwOMZYlXNfJzKtLgHoEWNcs43jdAQWA1VA7xjjqpz7KoCZQP/kazRoFD2EMGWfffbZZ8qUKQ15eoM9yxymsIB96cOe9KKDYVySJKmkjR49mldfffXVGOPo+j43H5Nlj0uuH8kN5wBJyH4WaA8cuJ3jHAi0A57NDefJcaqAh2t8vaJxCP24lAM5mH6Gc0mSJG1TPlpchiXX02q5/wNgApnWlccbeRyS42xTCKG2IfLh23uuJEmSlKZ8jKDvkFxvfTWd/9vfpZmOI0mSJBWtkpwHvbZen2RkfZ9mLkeSJEmqs3yMoG8Z2d6hlvu37F/eTMeRJEmSilY+Avr7yXVtveG7Jte19Zbn+ziSJElS0cpHQJ+UXE9IpkPMSqZZPARYC7ywneO8AKwDDkmel3ucCjInmuZ+PUmSJKnkNDqgxxhnAI8AA4Cv17j7J0AH4IbcOdBDCMNDCNVmVIkxrgZuSB5/WY3jXJIc/+FiXElUkiRJqqt8nST6NeA54LchhPHAVOAAMnOWTwN+UOPxU5PrUGP/94GxwLdDCHsBLwEjgJPILGJU8w8ASZIkqaTko8Vlyyj6vsBEMsH8O8Bg4ErgwBjj0joeZylwEPBbYEhynAOAa4HRydeRJEmSSlbeplmMMc4FLqzjY2uOnOfe9wnwjeQiSZIklZW8jKBLkiRJyg8DuiRJklRADOiSJElSATGgS5IkSQXEgC5JkiQVEAO6JEmSVEBCjDHtGppNCGFpu3btdhwxYkTapUiSJKmETZ06lXXr1n0SY+xW3+eWW0D/EOgMzErhyw9Prt9L4Wur+fg6lz5f4/Lg61wefJ3LQ1qv8wBgZYxxYH2fWFYBPU0hhCkAMcbRadeipuPrXPp8jcuDr3N58HUuD8X4OtuDLkmSJBUQA7okSZJUQAzokiRJUgExoEuSJEkFxIAuSZIkFRBncZEkSZIKiCPokiRJUgExoEuSJEkFxIAuSZIkFRADuiRJklRADOiSJElSATGgS5IkSQXEgC5JkiQVEAN6A4UQdg4hXBNCWBBC2BBCmBVCuCKE0LWex9kxed6s5DgLkuPu3FS1q+4a+zqHEDqEEM4JIdwcQngvhLAmhLAqhPBKCOE7IYTWTf09aPvy9fNc45iHhxAqQwgxhPA/+axXDZPP1zmEsE/ycz0vOdZHIYSnQgifb4raVTd5/N18aAjhnuT560MIc0IID4QQjmmq2lU3IYTTQwhXhRAmhxBWJu+xNzbwWHl/788XFypqgBDCYOA5oAdwD/AesD8wDngfOCTGuLQOx+mWHGco8ATwMjAcOAlYDBwUY5zZFN+Dti8fr3PyZv4g8AkwCZgOdAU+A/RKjj8+xri+ib4NbUe+fp5rHLMT8CbQHegIXB5j/GE+61b95PN1DiFcAlwJLAPuB+YDOwIjgXkxxs/l/RvQduXxd/NXgauBNcBdwDxgZ+BUoD3wwxjj5U3xPWj7QgivA3sCq8m8NsOBm2KM59bzOHl/78+rGKOXel6Ah4EI/EuN/b9O9v+xjsf5U/L4X9XYf2my/6G0v9dyvuTjdQb2As4BWtfY3wmYkhznO2l/r+V8ydfPc43nXkPmj7LvJ8f4n7S/z3K/5PF9ewJQlRyv01bub5X291qulzy9Z7cClgPrgGE17hsBrAfWAm3S/n7L9UImQO8KBGBs8tremMb/l6a8OIJeT8lfXNOBWcDgGGNVzn2dgIVk/tP0iDGu2cZxOpIZJa8CescYV+XcVwHMBPonX8NR9GaWr9d5O1/jbOAm4L4Y44mNLlr11hSvcwjhJOBu4DygJXAtjqCnKp+vcwjhDWAI0C+mObqmavL4u7knsAh4M8a451bufxMYBXT39U9fCGEsmU+n6zWC3hy/4xvLHvT6G5dcP5L7ggIkIftZMh+BHbid4xwItAOezQ3nyXG2jM7kfj01r3y9ztuyKbne3IhjqHHy+jqHEHoAfwHujjE2qCdSTSIvr3MIYSSwB/AI8EkIYVwI4bvJ+STjk8EVpSNfP8uLgY+BoSGEXXPvCCEMJTNy+7rhvOg1x+/4RvHNpP6GJdfTarn/g+R6aDMdR02jOV6fi5LrhxpxDDVOvl/nv5B5X724MUUp7/L1Ou+XXC8GniRz7tD/A34JPAa8HkIY0vAy1Qh5eY1jpq3g62R+jqeEEK4LIfwshHA9mbbEd4Az8lCv0lXwGaxlWl+4iO2QXK+o5f4t+7s003HUNJr09UlOMjsGeJ1Mv7LSkbfXOYRwEZmTf8+MMX7U+NKUR/l6nXsk118gc2Lo8cAzQE/gx8C5wP0hhFExxo0NrlYNkbef5Rjj7SGEBcDfgdxZeT4i07Jm22nxK/gM5gi61MxCCKcCV5Dpczwtxrhp289QoQshDCDzmt4eY7wt3WrUhLb8zmwBfC7G+ECMcWWM8QMyQe4VMiNup6VVoBovhHAumU9EJpM5MbR9cv048DvglvSqU7kwoNfflr+qdqjl/i37lzfTcdQ0muT1CSGcTObNfTEw1hOAU5ev1/kaMrM+fC0PNSn/8vU6b7l/UYzx+dw7ktaIe5LN/etZnxovL69x0md+DZlWlvNijO/FGNfFGN8jc+L3FOCM5OREFa+Cz2AG9Pp7P7murS9py0kltfU15fs4ahp5f31CCGcAt5P5mHRMjPH97TxFTS9fr/M+ZNofPk4WzYghhEjm43CAHyT77m5UtWqofL9vL6/l/mXJdbu6laU8ytdrPIHMVItPbeXkwSrg6WRzdEOKVMEo+AxmD3r9TUquJ4QQKrYyNc8hZOZIfWE7x3mBzIjbISGETluZZnFCja+n5pWv13nLc84BriPTtzrOkfOCka/X+XoyH4PXtCtwOJlzDaYArzW2YDVIPt+31wADQggdtjL92sjk+sM81Kz6yddr3Ca53qmW+7fs9xyD4pbX3/FNwRH0eooxziAzxdYAMmd65/oJ0AG4IfeNO4QwPIQwvMZxVgM3JI+/rMZxLkmO/7BBLh35ep2T/eeTCXBzgMN9TQtHHn+eL40xfrHmhf8bQb8/2ff7JvtmVKs8vs5rgb8BbYH/CSGEnMePAi4gM23qP/L/XWhb8viePTm5Pj2EsEfuHSGEvYDTySxi80TeileTCSG0Sl7nwbn7G/L/pbm5UFEDbGV52KnAAWTm1ZwGHJw7R2ryUTcxxlDjON2S4wwl88P+EpkTUU4i06N8cPKfSCnIx+scQhhH5mSjCjJ9jXO38qWWxxivaJrvQtuTr5/nWo59AS5UVBDy+L7dGXiKzCrBL5KZL7knmWXg2wHfjDFe2cTfjrYij6/xNcCFZEbJ7wJmkwlyJwOtgStijN9q2u9GtUnO5To52ewFHE1mZp0tf1wtiTF+N3nsADKfaM2OMQ6ocZx6/X9pdvlakrTcLsAuZH7xLiTzQzybzCwOXbfy2EhyDtFW7tsRuDJ5/sbkeNcAO6f9PXpp/OtMZkQtbucyK+3vs9wv+fp53spjt7z+/5P29+glr+/bHYHLyfwS30CmJ/0RYELa32O5X/LxGpNZQfICMnPdLyPzqcgnZGZx+Vza32O5X8h0HdTpdyqZP6xq/T1bn/8vzX1xBF2SJEkqIPagS5IkSQXEgC5JkiQVEAO6JEmSVEAM6JIkSVIBMaBLkiRJBcSALkmSJBUQA7okSZJUQAzokiRJUgExoEuSJEkFxIAuSZIkFRADuiRJklRADOiSJElSATGgS5IkSQXEgC5JkiQVEAO6JEmSVEAM6JIkSVIBMaBLkiRJBcSALkkCIITQPoSwIIQQQwgLQwjtanlcRQjhzuRxVSGEc5q7VkkqZQZ0SRIAMca1wH8nm72Ar9Xy0N8CpyS3/y3GeFNT1yZJ5STEGNOuQZJUIEIIrYCpwGBgMTAoxrgm5/7vAT9PNq+IMX6r+auUpNLmCLokKSvGuAn4cbLZA7hky31JK8vPks1bgW83b3WSVB4cQZckVRNCCMBrwJ7AUmAAcADwINAKmAQcE2PcmFaNklTKDOiSpE8JIRwH3J9sXg+cDHQG3gQOjzGuSKk0SSp5BnRJ0laFECYDh+bsmgMcFGNckFJJklQW7EGXJNXmjzm3V5FpazGcS1ITM6BLkj4lhNAP+EXOrnbAppTKkaSyYkCXJFUTQugKPAT0BZYBm4GWwH+lWZcklQsDuiQpK4TQFrgXGAGsBz5D5iRRgM+FEPZMqzZJKhcGdEkSACGECuDvwCFAFXBOjPEZMquLbgICcHl6FUpSeTCgS5K2+D2Z6RQBvhljvBMgxjgL+Fuy//gQwiHNX5oklQ+nWZQkEUL4IZmRcoD/F2P8txr37wxMB9oAk2OMhzdziZJUNhxBl6QyF0K4kP8L538HvlfzMTHGecCfks3DQgjHNlN5klR2HEGXpDKWrBh6D5lZWiaRmet8Yy2P7QXMANoDrwGjo79EJCnvDOiSJElSAbHFRZIkSSogBnRJkiSpgBjQJUmSpAJiQJckSZIKiAFdkiRJKiAGdEmSJKmAGNAlSZKkAmJAlyRJkgqIAV2SJEkqIAZ0SZIkqYAY0CVJkqQCYkCXJEmSCogBXZIkSSogBnRJkiSpgBjQJUmSpAJiQJckSZIKiAFdkiRJKiAGdEmSJKmAGNAlSZKkAvL/AYwu8Exrsd9VAAAAAElFTkSuQmCC", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": { "image/png": { "height": 266, "width": 372 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "means = [0.25, 0.75]\n", "variances = [0.01, 0.01]\n", "proportions = [0.2, 0.8]\n", "\n", "component1 = Gaussian(mu=means[0], var=variances[0])\n", "component2 = Gaussian(mu=means[1], var=variances[1])\n", "\n", "x_space = np.linspace(0, 1, 100)\n", "y_space = proportions[0] * component1.pdf(x_space) + proportions[1] * component2.pdf(x_space)\n", "\n", "plt.plot(x_space, y_space, color=\"springgreen\")\n", "plt.xlabel(\"$x$\", fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, lets discuss the histogram methods for density estimation. Standard histograms simply partition $x$ into distinct bins of width $\\Delta_i$ and then count the number $n_i$ of observations of $x$ falling in bin $i$. In order to turn the counts into a normalized probability density, we divide by the total number $N$ of observations and by the width $\\Delta_i$ of the bins to obtain probability values for each bin given by\n", "\n", "$$\n", "p_i = \\frac{n_i}{N\\Delta_i}\n", "$$\n", "\n", "Given a sample dataset of $N=50$ points, we plot three histogram density estimates corresponding to three choices for the bin width $\\Delta$. For very small $\\Delta$, the resulted density model is very spiky, while for very large $\\Delta$ the result is too smooth and fails to capture the bimodal property of the curve. The best results are obtained by the intermediate value." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 1152x360 with 3 Axes>" ] }, "metadata": { "image/png": { "height": 322, "width": 927 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Sample N points from the mixture\n", "N = 50\n", "N1 = int(N * proportions[0])\n", "N2 = N - N1\n", "sampled_points = component1.draw(N1)\n", "sampled_points = np.append(sampled_points, component2.draw(N2))\n", "\n", "plt.figure(figsize=(16, 5))\n", "\n", "plt.subplot(1, 3, 1)\n", "plt.plot(x_space, y_space, color=\"springgreen\")\n", "plt.hist(sampled_points, bins=4, edgecolor=\"black\", color=\"steelblue\", label=\"$\\\\Delta=0.04$\")\n", "plt.xlabel(\"$x$\", fontsize=14)\n", "plt.legend(fontsize=14)\n", "\n", "plt.subplot(1, 3, 2)\n", "plt.plot(x_space, y_space, color=\"springgreen\")\n", "plt.hist(sampled_points, bins=8, edgecolor=\"black\", color=\"steelblue\", label=\"$\\\\Delta=0.08$\")\n", "plt.xlabel(\"$x$\", fontsize=14)\n", "plt.legend(fontsize=14)\n", "\n", "plt.subplot(1, 3, 3)\n", "plt.plot(x_space, y_space, color=\"springgreen\")\n", "plt.hist(sampled_points, bins=25, edgecolor=\"black\", color=\"steelblue\", label=\"$\\\\Delta=0.25$\")\n", "plt.xlabel(\"$x$\", fontsize=14)\n", "plt.legend(fontsize=14)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The histogram method has the desired property that, once the histogram has been computed, the data itself can be discarded. Moreover, the approach is easily applied to data points are arriving sequentially. However, a major limitation is its scaling on high dimensional data. If we divide each variable in a $D$-dimensional space into $M$ bins, then the total number of bins is $M^D$. Therefore, in a space of high dimensionality, the quantity of data needed to provide meaningful estimates of local probability density would be prohibitive.\n", "\n", "The histogram approach to density estimation does, however, teach us two important lessons. \n", "\n", "1. In order to estimate the probability density at a particular location, we should consider the data points that lie within some local neighbourhood of that location. For histograms, the neighbourhood property was defined by the bins.\n", "\n", "\n", "2. The value of the smoothing parameter should be neither too large nor too small in order to obtain good results.\n", "\n", "### 2.5.1 Kernel density estimators\n", "\n", "Now, suppose that observations are being drawn from an unknown probability density $p(\\mathbf{x})$ in a $D$-dimensional Euclidean space. From our earlier insights about locality, let us consider a small region $\\mathcal{R}$ containing $\\mathbf{x}$. Then, the probability mass of this region is given by\n", "\n", "$$\n", "P_{\\mathcal{R}} = \\int_{\\mathcal{R}} p(\\mathbf{x})d\\mathbf{x}\n", "$$\n", "\n", "Then, given a data set comprising $N$ observations drawn from $p(\\mathbf{x})$, each data point has a probability $P_{\\mathcal{R}}$ of falling into the region $\\mathcal{R}$. Thus, in general, the total number $K$ of points out of $N$, that lie inside $\\mathcal{R}$ are distributed according to a binomial distribution\n", "\n", "$$\n", "\\text{Bin}(K|N,P_{\\mathcal{R}}) = \\frac{N!}{K!(N-K)!} P_{\\mathcal{R}}^K(1-P_{\\mathcal{R}})^{1-K}\n", "$$\n", "\n", "We can prove that the mean fraction of points falling inside the region $\\mathcal{R}$ is $\\mathbb{E}[K/N]=\\frac{1}{N}NP_{\\mathcal{R}}=P_{\\mathcal{R}}$, and the variance around the mean $\\text{var}[K/N]=P_{\\mathcal{R}}(1-P_{\\mathcal{R}})/N$. Therefore, assuming a large $N$, variance is going to shrink and the distribution is going to be sharply peaked around the mean, leading to a $P_{\\mathcal{R}}$ proportion of the $N$ points ($K$) to be located inside $\\mathcal{R}$\n", "\n", "$$\n", "K \\approx NP_{\\mathcal{R}}\n", "$$\n", "\n", "Furthermore, assuming that the region $\\mathcal{R}$ is sufficiently small that the probability density $p(\\mathbf{x})$ is roughly constant over the region, then we have\n", "\n", "$$\n", "P_{\\mathcal{R}} \\approx p(\\mathbf{x})V\n", "$$\n", "\n", "where $V$ is the volume of $\\mathcal{R}$. Combining these two assumptions, we obtain a density estimate in the form\n", "\n", "$$\n", "p(\\mathbf{x}) = \\frac{K}{NV}\n", "$$\n", "\n", "Note that the validity of the density depends on two **contradictory assumptions**, namely that the region $\\mathcal{R}$ is sufficiently small that the density is approximately constant over the region and yet sufficiently large (in relation to the value of that density) that the number $K$ of points falling inside the region is sufficient for the binomial distribution to be sharply peaked.\n", "\n", "We can exploit the resulted density in two different ways:\n", "\n", "1. Assume a $K$ and determine the value of $V$ from the data, giving rise to the $k$-nearest neighbour technique. \n", "\n", "2. Assume a $V$ and determine $K$ from the data, giving rise to the kernel approach\n", "\n", "It can be proved that both the $k$-nearest neighbour density estimator and the kernel density estimator converge to the true probability density in the limit $N\\to\\infty$ provided $V$ shrinks suitably with $N$, and $K$ grows with $N$.\n", "\n", "Consider the region $\\mathcal{R}$ to be a small hypercube centred on the point $\\mathbf{x}$ at which we wish to determine the probability density. In order to count the number $K$ of points falling inside $\\mathcal{R}$, it is convenient to define the function\n", "\n", "$$\n", "k(\\mathbf{u}) = \n", "\\begin{cases}\n", " 1, & \\quad |u_i| \\leq \\frac{1}{2}, \\quad \\forall i \\in \\{1,\\dots,D\\} \\\\\n", " 0, & \\quad \\text{otherwise}\n", "\\end{cases}\n", "$$\n", "\n", "which represents a unit cube centred on the origin." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 432x288 with 2 Axes>" ] }, "metadata": { "image/png": { "height": 265, "width": 377 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def k(u):\n", " return np.all(np.abs(u) <= 0.5)\n", "\n", "\n", "U1, U2 = np.meshgrid(np.arange(-1, 1, 0.01), np.arange(-1, 1, 0.01))\n", "plt.contourf(U1, U2, np.apply_along_axis(k, 0, np.array([U1, U2])), cmap=\"binary\")\n", "plt.title(\"$k(\\mathbf{u})$\", fontsize=14)\n", "plt.xlim(-1, 1)\n", "plt.ylim(-1, 1)\n", "plt.colorbar()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The function $k(\\mathbf{u})$ is an example of a *kernel function*, also called a **Parzen window**. The quantity $k(\\frac{\\mathbf{x} - \\mathbf{x}_n}{h})$ is $1$ if the data point $\\mathbf{x}_n$ lies inside a cube of side $h$ centred on $\\mathbf{x}$, and zero otherwise. The total number of data points lying inside this cube is therefore given by\n", "\n", "$$\n", "K = \\sum_{n=1}^N k\\bigg(\\frac{\\mathbf{x} - \\mathbf{x}_n}{h}\\bigg)\n", "$$\n", "\n", "By substituting the expression for $K$ into the formula of $p(\\mathbf{x})$ derived above, we obtain the estimated density at $\\mathbf{x}$ using a Parzen window\n", "\n", "$$\n", "p(\\mathbf{x}) = \\frac{1}{N} \\sum_{n=1}^N \\frac{1}{h^D} k\\bigg(\\frac{\\mathbf{x}-\\mathbf{x}_n}{h}\\bigg)\n", "$$\n", "\n", "where $h^D = V$ for the volume of a hypercube of side $h$ in $D$ dimensions.\n", "\n", "We can also interpret the above equation, not as a single cube centred on $\\mathbf{x}$ but instead as the sum over $N$ cubes centred on the $N$ data points $\\mathbf{x}_n$." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 1152x360 with 3 Axes>" ] }, "metadata": { "image/png": { "height": 306, "width": 927 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "N = 5\n", "h = 1\n", "data = np.random.uniform(-1, 1, size=(N, 2))\n", "U1, U2 = np.meshgrid(np.arange(-1, 1, 0.01), np.arange(-1, 1, 0.01))\n", "\n", "K = np.zeros(U1.shape)\n", "for x in data:\n", " k = lambda u: np.all(np.abs(x - u) <= h / 2)\n", " K += np.apply_along_axis(k, 0, np.array([U1, U2]))\n", "\n", "plt.figure(figsize=(16, 5))\n", "\n", "plt.subplot(1, 2, 1)\n", "plt.contour(U1, U2, K > 0, cmap=\"binary\")\n", "plt.scatter(data[:, 0], data[:, 1], color=\"black\")\n", "plt.xlim(-1, 1)\n", "plt.ylim(-1, 1)\n", "\n", "plt.subplot(1, 2, 2)\n", "c = plt.contourf(U1, U2, K > 0, cmap=\"binary\")\n", "plt.scatter(data[:, 0], data[:, 1], color=\"w\")\n", "plt.xlim(-1, 1)\n", "plt.ylim(-1, 1)\n", "plt.colorbar(c)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The kernel density estimator suffers from one of the same problems that the histogram method suffered from, namely the presence of artificial discontinuities, in this case at the boundaries of the cubes. We can obtain a smoother density model if we choose a smoother kernel function, and a common choice is the Gaussian, that gives rise to the following kernel density model\n", "\n", "$$\n", "p(\\mathbf{x}) = \\frac{1}{N} \\sum_{n=1}^N \\frac{1}{(2\\pi h^2)^{1/2}} \n", "\\exp\\bigg\\{ -\\frac{\\|\\mathbf{x} - \\mathbf{x}_n\\|^2}{2h^2} \\bigg\\}\n", "$$\n", "\n", "where $h$ represents the standard deviation of the Gaussian components. Thus, the density model is obtained by placing a Gaussian over each data point, adding up the contributions over the whole data set, and then dividing by $N$ so that the density is correctly normalized." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 1152x360 with 3 Axes>" ] }, "metadata": { "image/png": { "height": 306, "width": 920 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "N = 5\n", "h = 1\n", "data = np.random.uniform(-1, 1, size=(N, 2))\n", "U1, U2 = np.meshgrid(np.arange(-1, 1, 0.01), np.arange(-1, 1, 0.01))\n", "\n", "K = np.zeros(U1.shape)\n", "for x in data:\n", " k = lambda u: np.exp(-np.linalg.norm(x - u) ** 2 / (2 * h**2)) / np.sqrt(2 * np.pi * h**2)\n", " K += np.apply_along_axis(k, 0, np.array([U1, U2]))\n", "\n", "plt.figure(figsize=(16, 5))\n", "\n", "plt.subplot(1, 2, 1)\n", "plt.contour(U1, U2, K, cmap=\"binary\")\n", "plt.scatter(data[:, 0], data[:, 1], color=\"black\")\n", "plt.xlim(-1, 1)\n", "plt.ylim(-1, 1)\n", "\n", "plt.subplot(1, 2, 2)\n", "c = plt.contourf(U1, U2, K, cmap=\"binary\")\n", "plt.scatter(data[:, 0], data[:, 1], color=\"w\")\n", "plt.xlim(-1, 1)\n", "plt.ylim(-1, 1)\n", "plt.colorbar(c)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Applying the Gaussian kernel to the data set used earlier to demonstrate the histogram technique, we see that, as expected, the parameter $h$ plays the role of a smoothing parameter, and there is a trade-off between sensitivity to noise at small h and over-smoothing at large h. Again, the optimization of h is a problem in model complexity, analogous to the choice of bin width in histogram density estimation, or the degree of the polynomial used in curve fitting." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<Figure size 1152x360 with 3 Axes>" ] }, "metadata": { "image/png": { "height": 320, "width": 920 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def gaussian_kernel_density(h, data, x):\n", " K = 0\n", " for xn in data:\n", " k = lambda x: np.exp(\n", " -np.linalg.norm(\n", " x - xn,\n", " )\n", " ** 2\n", " / (2 * h**2)\n", " ) / np.sqrt(2 * np.pi * h**2)\n", " K += k(x)\n", " return K / len(data)\n", "\n", "\n", "def kdeg(x, X, h):\n", " \"\"\"\n", " KDE under a gaussian kernel\n", " \"\"\"\n", " N, D = X.shape\n", " nden, _ = x.shape # number of density points\n", " Xhat = X.reshape(D, 1, N)\n", " xhat = x.reshape(D, nden, 1)\n", "\n", " px = np.exp(-np.linalg.norm(xhat - Xhat, axis=0) ** 2 / (2 * h**2)).sum(axis=1) / (\n", " N * np.sqrt(2 * np.pi * h**2)\n", " )\n", " return px\n", "\n", "\n", "plt.figure(figsize=(16, 5))\n", "\n", "plt.subplot(1, 3, 1)\n", "plt.plot(x_space, y_space, color=\"springgreen\")\n", "plt.plot(\n", " x_space, kdeg(x_space.reshape(-1, 1), sampled_points.reshape(-1, 1), 0.005), color=\"steelblue\", label=\"$h=0.005$\"\n", ")\n", "plt.xlabel(\"$x$\", fontsize=14)\n", "plt.legend(fontsize=14)\n", "\n", "plt.subplot(1, 3, 2)\n", "plt.plot(x_space, y_space, color=\"springgreen\")\n", "plt.plot(\n", " x_space, [gaussian_kernel_density(0.07, sampled_points, x) for x in x_space], color=\"steelblue\", label=\"$h=0.7$\"\n", ")\n", "plt.xlabel(\"$x$\", fontsize=14)\n", "plt.legend(fontsize=14)\n", "\n", "plt.subplot(1, 3, 3)\n", "plt.plot(x_space, y_space, color=\"springgreen\")\n", "plt.plot(\n", " x_space, [gaussian_kernel_density(0.2, sampled_points, x) for x in x_space], color=\"steelblue\", label=\"$h=0.2$\"\n", ")\n", "plt.xlabel(\"$x$\", fontsize=14)\n", "plt.legend(fontsize=14)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The class of density models given by the Parzen estimators have the advantage that there is no computation involved during the *training* phase. They simply store the training set. However, this is also their great weakness, since the cost of evaluating the density grows linearly with the size of the data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.5.2 Nearest-neighbour methods\n", "\n", "This issue is addressed by nearest-neighbour methods for density estimation.\n", "\n", "We therefore return to our general result (2.246) for local density estimation, and assume a value for $K$ and use the data to find an appropriate value for $V$. To that end, we consider a small sphere centred on the point $\\mathbf{x}$ at which we wish to estimate the ensity $p(\\mathbf{x})$. Then, we allow the radius of the sphere to grow until it contains precisely $K$ data points. The estimate of the density is then given by \n", "\n", "$$\n", "p(\\mathbf{x}) = \\frac{K}{V_\\text{shpere}N}\n", "$$\n", "\n", "where $V_\\text{shpere}$ is volume of the resulting sphere. This technique is known as K nearest neighbours.\n", "\n", "The n-dimensional volume of a Euclidean ball of radius R in n-dimensional Euclidean space is\n", "\n", "$$\n", "V_\\text{shpere} = \\frac{\\pi^{D/2}r^D}{\\Gamma(\\frac{D}{2} + 1)}\n", "$$\n", "\n", "and is illustrated in Figure 2.26, for various choices of the parameter K, using the\n", "same data set as used in Figure 2.24 and Figure 2.25. We see that the value of K\n", "now governs the degree of smoothing and that again there is an optimum choice for\n", "K that is neither too large nor too small. Note that the model produced by K nearest\n", "neighbours is not a true density model because the integral over all space diverges." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<Figure size 1152x360 with 3 Axes>" ] }, "metadata": { "image/png": { "height": 324, "width": 920 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(16, 5))\n", "\n", "plt.subplot(1, 3, 1)\n", "plt.plot(x_space, y_space, color=\"springgreen\")\n", "model = NearestNeighborsDensity(k=1, data=sampled_points)\n", "plt.plot(x_space, model.predict(x_space), color=\"steelblue\", label=\"$k=1$\")\n", "plt.xlabel(\"$x$\", fontsize=14)\n", "plt.ylim(0, 5)\n", "plt.legend(fontsize=14)\n", "\n", "plt.subplot(1, 3, 2)\n", "plt.plot(x_space, y_space, color=\"springgreen\")\n", "model = NearestNeighborsDensity(k=5, data=sampled_points)\n", "plt.plot(x_space, model.predict(x_space), color=\"steelblue\", label=\"$k=5$\")\n", "plt.xlabel(\"$x$\", fontsize=14)\n", "plt.ylim(0, 5)\n", "plt.legend(fontsize=14)\n", "\n", "plt.subplot(1, 3, 3)\n", "plt.plot(x_space, y_space, color=\"springgreen\")\n", "model = NearestNeighborsDensity(k=30, data=sampled_points)\n", "plt.plot(x_space, model.predict(x_space), color=\"steelblue\", label=\"$k=30$\")\n", "plt.xlabel(\"$x$\", fontsize=14)\n", "plt.ylim(0, 5)\n", "plt.legend(fontsize=14)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The $K$-nearest-neighbour technique for density estimation can also be used for classification. To do so, we apply the $K$-nearest-neighbour density estimation technique to each class separately and then use the Bayes' theorem. Consider a data set comprising $N_k$ points in class $\\mathcal{C}_k$ and $N$ points in total, so that $\\sum_k N_k = N$. A sphere of volume $V$ containing $K_k$ points from class $\\mathcal{C}_k$ defines the density of each class, given by\n", "\n", "$$\n", "p(\\mathbf{x}|\\mathcal{C}_k) = \\frac{K_k}{N_kV}\n", "$$\n", "\n", "while, the unconditional density is given by\n", "\n", "$$\n", "p(\\mathbf{x}) = \\frac{K}{NV}\n", "$$\n", "\n", "and the class prior is given by\n", "\n", "$$\n", "p(\\mathcal{C}_k) = \\frac{N_k}{N}\n", "$$\n", "\n", "Using Bayes’ theorem, we obtain the posterior probability of class membership\n", "\n", "$$\n", "p(\\mathcal{C}_k|\\mathbf{x}) = \\frac{p(\\mathbf{x}|\\mathcal{C}_k)p(\\mathcal{C}_k)}{p(\\mathbf{x})} =\n", "\\frac{K_k}{K}\n", "$$\n", "\n", "Thus, to classify a new point, we identify the $K$-nearest points from the training data set and then assign the new point to the class having the largest number of representatives amongst this set. Ties can be broken at random. The particular case of $K=1$ is called the *nearest-neighbour rule*, because a test point is simply assigned to the same class as the nearest point from the training set.\n", "\n", "An interesting property of the nearest-neighbour rule classifier is that, in the limit $N\\to\\infty$, the error rate is never more than double the minimum achievable error rate of an optimal classifier, i.e., one that uses the true class distributions." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<Figure size 1152x360 with 3 Axes>" ] }, "metadata": { "image/png": { "height": 319, "width": 928 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "N = 50\n", "D = 2\n", "\n", "x, t = make_classification(n_features=D, n_informative=D, n_redundant=0, n_classes=2, n_samples=N)\n", "\n", "x_space = np.arange(-5, 5, 0.02)\n", "x1, x2 = np.meshgrid(x_space, x_space)\n", "x_hat = np.vstack((x1.ravel(), x2.ravel())).T\n", "\n", "class_colors = [\"coral\" if t[i] == 1 else \"snow\" for i in range(t.shape[0])]\n", "\n", "plt.figure(figsize=(16, 5))\n", "\n", "plt.subplot(1, 3, 1)\n", "model = KNearestNeighborsClassifier(1, x, t)\n", "Z = model.predict(x_hat).reshape(-1, 1)\n", "plt.contourf(\n", " x_space, x_space, Z[:, 0].reshape(x1.shape), cmap=\"winter\", levels=np.arange(-0.1, 1.1, 0.05), antialiased=True\n", ")\n", "plt.scatter(x[:, 0], x[:, 1], color=class_colors)\n", "plt.title(\"$K=1$\", fontsize=14)\n", "\n", "plt.subplot(1, 3, 2)\n", "model = KNearestNeighborsClassifier(3, x, t)\n", "Z = model.predict(x_hat).reshape(-1, 1)\n", "plt.contourf(\n", " x_space, x_space, Z[:, 0].reshape(x1.shape), cmap=\"winter\", levels=np.arange(-0.1, 1.1, 0.05), antialiased=True\n", ")\n", "plt.scatter(x[:, 0], x[:, 1], color=class_colors)\n", "plt.title(\"$K=3$\", fontsize=14)\n", "\n", "plt.subplot(1, 3, 3)\n", "model = KNearestNeighborsClassifier(11, x, t)\n", "Z = model.predict(x_hat).reshape(-1, 1)\n", "plt.contourf(\n", " x_space, x_space, Z[:, 0].reshape(x1.shape), cmap=\"winter\", levels=np.arange(-0.1, 1.1, 0.05), antialiased=True\n", ")\n", "plt.scatter(x[:, 0], x[:, 1], color=class_colors, s=50)\n", "plt.title(\"$K=11$\", fontsize=14)\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<Figure size 1152x360 with 3 Axes>" ] }, "metadata": { "image/png": { "height": 319, "width": 928 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "N = 50\n", "D = 2\n", "\n", "x, t = make_classification(n_features=D, n_informative=D, n_redundant=0, n_classes=2, n_samples=N)\n", "\n", "x_space = np.arange(-5, 5, 0.02)\n", "x1, x2 = np.meshgrid(x_space, x_space)\n", "x_hat = np.vstack((x1.ravel(), x2.ravel())).T\n", "\n", "class_colors = [\"coral\" if t[i] == 1 else \"snow\" for i in range(t.shape[0])]\n", "\n", "plt.figure(figsize=(16, 5))\n", "\n", "plt.subplot(1, 3, 1)\n", "model = KNearestNeighborsClassifier(1, x, t)\n", "Z = model.predict_proba(x_hat)\n", "plt.contourf(\n", " x_space, x_space, Z[:, 0].reshape(x1.shape), cmap=\"winter\", levels=np.arange(-0.1, 1.1, 0.05), antialiased=True\n", ")\n", "plt.scatter(x[:, 0], x[:, 1], color=class_colors)\n", "plt.title(\"$K=1$\", fontsize=14)\n", "\n", "plt.subplot(1, 3, 2)\n", "model = KNearestNeighborsClassifier(3, x, t)\n", "Z = model.predict_proba(x_hat)\n", "plt.contourf(\n", " x_space, x_space, Z[:, 0].reshape(x1.shape), cmap=\"winter\", levels=np.arange(-0.1, 1.1, 0.05), antialiased=True\n", ")\n", "plt.scatter(x[:, 0], x[:, 1], color=class_colors)\n", "plt.title(\"$K=3$\", fontsize=14)\n", "\n", "plt.subplot(1, 3, 3)\n", "model = KNearestNeighborsClassifier(11, x, t)\n", "Z = model.predict_proba(x_hat)\n", "plt.contourf(\n", " x_space, x_space, Z[:, 0].reshape(x1.shape), cmap=\"winter\", levels=np.arange(-0.1, 1.1, 0.05), antialiased=True\n", ")\n", "plt.scatter(x[:, 0], x[:, 1], color=class_colors, s=50)\n", "plt.title(\"$K=11$\", fontsize=14)\n", "\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "language": "python", "name": ".venv" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 1 }