{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from sklearn.cluster import KMeans\n", "from sklearn.metrics import adjusted_mutual_info_score" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import make_blobs" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "plt.style.use('dark_background')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Clustering" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Toy example to illustrate concepts" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "npts = 1000\n", "nc = 6\n", "X, y = make_blobs(n_samples=npts, centers=nc, random_state=0)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(X[:, 0], X[:, 1], s=5, c=y,\n", " cmap=plt.cm.get_cmap('Accent', nc))\n", "plt.axis('square')\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Sometimes the structure is clearer with contours" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "import seaborn as sns" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.kdeplot(X[:, 0], X[:, 1])\n", "plt.axis('square');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## How to cluster\n", "\n", "1. Choose a clustering algorithm\n", "2. Choose the number of clusters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### K-means" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Using a library function\n", "\n", "Normally, we would use a library function. The examples below are meant to illustrate how the k-means algorithm works." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "kmeans = KMeans(nc)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "z = kmeans.fit_predict(X)\n", "centers = kmeans.cluster_centers_" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(X[:, 0], X[:, 1], s=5, c=z,\n", " cmap=plt.cm.get_cmap('Accent', nc))\n", "plt.scatter(centers[:, 0], centers[:, 1], marker='x', \n", " linewidth=3, s=100, c='red')\n", "plt.axis('square')\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Coding from the ground up" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are many different clustering methods, but K-means is fast, scales well, and can be interpreted as a probabilistic model. We will write 3 versions of the K-means algorithm to illustrate the main concepts. The algorithm is very simple:\n", "\n", "1. Start with $k$ centers with labels $0, 1, \\ldots, k-1$\n", "2. Find the distance of each data point to each center\n", "3. Assign the data points nearest to a center to its label\n", "4. Use the mean of the points assigned to a center as the new center\n", "5. Repeat for a fixed number of iterations or until the centers stop changing\n", "\n", "Note: If you want a probabilistic interpretation, just treat the final solution as a mixture of (multivariate) normal distributions. K-means is often used to initialize the fitting of full statistical mixture models, which are computationally more demanding and hence slower. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Distance between sets of vectors" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "from scipy.spatial.distance import cdist" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0, 1],\n", " [2, 3],\n", " [4, 5]])" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pts = np.arange(6).reshape(-1,2)\n", "pts" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0, 1],\n", " [2, 3]])" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mus = np.arange(4).reshape(-1, 2)\n", "mus" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0. , 2.82842712],\n", " [2.82842712, 0. ],\n", " [5.65685425, 2.82842712]])" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cdist(pts, mus)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Version 1" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "def my_kemans_1(X, k, iters=10):\n", " \"\"\"K-means with fixed number of iterations.\"\"\"\n", " \n", " r, c = X.shape\n", " centers = X[np.random.choice(r, k, replace=False)]\n", " for i in range(iters):\n", " m = cdist(X, centers)\n", " z = np.argmin(m, axis=1)\n", " centers = np.array([np.mean(X[z==i], axis=0) for i in range(k)])\n", " return (z, centers)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "np.random.seed(2018)\n", "z, centers = my_kemans_1(X, nc)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Note that K-means can get stuck in local optimum" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(X[:, 0], X[:, 1], s=5, c=z,\n", " cmap=plt.cm.get_cmap('Accent', nc))\n", "plt.scatter(centers[:, 0], centers[:, 1], marker='x', \n", " linewidth=3, s=100, c='red')\n", "plt.axis('square')\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Version 2" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "def my_kemans_2(X, k, tol= 1e-6):\n", " \"\"\"K-means with tolerance.\"\"\"\n", " \n", " r, c = X.shape\n", " centers = X[np.random.choice(r, k, replace=False)]\n", " delta = np.infty\n", " while delta > tol:\n", " m = cdist(X, centers)\n", " z = np.argmin(m, axis=1)\n", " new_centers = np.array([np.mean(X[z==i], axis=0) for i in range(k)])\n", " delta = np.sum((new_centers - centers)**2)\n", " centers = new_centers\n", " return (z, centers)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "np.random.seed(2018)\n", "z, centers = my_kemans_2(X, nc)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Still stuck in local optimum" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(X[:, 0], X[:, 1], s=5, c=z,\n", " cmap=plt.cm.get_cmap('Accent', nc))\n", "plt.scatter(centers[:, 0], centers[:, 1], marker='x', \n", " linewidth=3, s=100, c='red')\n", "plt.axis('square')\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Version 3\n", "\n", "Use of a score to evaluate the goodness of fit. In this case, the simplest score is just the sum of distances from each point to its nearest center." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "def my_kemans_3(X, k, tol=1e-6, n_starts=10):\n", " \"\"\"K-means with tolerance and random restarts.\"\"\"\n", " \n", " r, c = X.shape\n", " best_score = np.infty\n", " \n", " for i in range(n_starts):\n", " centers = X[np.random.choice(r, k, replace=False)]\n", " delta = np.infty\n", " while delta > tol:\n", " m = cdist(X, centers)\n", " z = np.argmin(m, axis=1)\n", " new_centers = np.array([np.mean(X[z==i], axis=0) for i in range(k)])\n", " delta = np.sum((new_centers - centers)**2)\n", " centers = new_centers\n", " score = m[z].sum()\n", " if score < best_score:\n", " best_score = score\n", " best_z = z\n", " best_centers = centers\n", " return (best_z, best_centers)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "np.random.seed(2018)\n", "z, centers = my_kemans_3(X, nc)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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G6NQpvp4bbvu2MeJj6gu+dtMFQrje038edd55Qzch1MlCVScLm80sjEbFY5STlBQqCgtfF6r6vlDV98Wzzw731Kl162iRlzdBVFW9I7ZseUb4+1tFv34pYu/eF0Rl5TuivPxtERrqe8xvkiRJjBnTQ9xzT99juhd7j/PzOKNC37VrV7F9+3ZhteqWbZ9++qm49957T6VCf+lo0SJKBAX5HPP6E08M8eS4U9XJHn/4yEh/YbUaBSAmTrxGuN36aL5nzwti9sy7xYG+zesJ+B+Pzw2yKCl6XZ8BaO+LffteFOvWPSkuvbS9AMSDDw7wRN1dv/5JT318fc2iouJtT51crvdERsbLorz8bZGe/pIYM6aHZ0biPbzHyR5nNEbe2rVr+e6779i4cSPbtm1DlmU+/PDDUy32pHjzzatYv348Bw68RHx8SKP3vPHGQrKyiqmudrJhQyYjR7Zj2bJHmTJlNDExejKJGTPWYre7UFWNkBAbQy9uTczc+9jeNaHRMksva88Yt8Z77y8DdGOcpKRQOndO4KuvbqNFi0iefXY4JpMBIQQ+Pke2Mn19zRiNikdB+NNPW4mKCsDPz0JMTBBz5mz1ptTyckY4LRZ5zz33HM8999zpKOovcfnlHfDxMaFpgu7dEzl4sGHSSqfTTWrqs6SkRBIe7sesWXd7gltGRPgxe/Y2AgIsTJ++hmbNwklPL+Smmy7AZDHheOca6P5qgzIP/WckjzWLYOXKA2iaoFYpj8Phori4muuv74a/v8VjsNOkyZEsO4cOlfPww98xduwFvPXWIqZPX8OkSdcwZkwPPv30d4qKqs5AS3nxcpab4dbx0ku/8O6715GbW8r8+TuPeV9NjYvNm7MYMaLtUQY2+hbe+PFDarfwQJZl+vVL0R/SNDq8v7TR8ppOmM+rU29EQzrKIEfwwQfL+OabDSiKzEMPDcRsNuByqTz99JG0X35+FkJDbUyZsoIvvlgLwL33fsW99351mlrFi5fGOWXjnL/CmTDOqZsm12E0Knz66U106NCEu+6awZYt2SQnh7F5cxaaJnjmmWFcfHEb1qzJwGYzctNNPWufPGJRJ1QVccvnyJ+tPvaLb74AMeUG6ob5ykqHZ69+wIA3ycwsxmIxkp5eP2nntGljufLKjrjdGnffPYPPPz/OO7x4OUmOJ2PnxEgPNEiTPXx4W0aObIuvr4WpU8fg52fBYjGyaFEal176Ht98s4E77uhNYmKoR1DrIuBIEghVhVun1xP4VamRdFj7BNYHvoGptdF8pq5CVTVc712LkCTKy2uIiQnC5XKzYsU4MjIK6dHjv54yfHxMjB3bk2bNwlEUGU0T2Gx/j9myFy9wDgn9HzlwoMBj6nroUDmhob74+poZNqw1dvu7ZGYWExkZgCxLVFU5qKy0YzTqCjdZlnB+twHfo8J0aTf14LfkMKpWZxD32CBCi6sImbUFAMPnqynqmcy4lfvJyyvj669vx2YzYTTKREUFMGJEW6bWdhIff3wjl1zSDiFg+fK9bNiQyUcfrfhH2sjL+clZ7WXXGJIkMXx4W6xWE717/4877/yCoUPfYfPmLFwu3V7ebDYQFxeEw+GmutrJCy/M4brrPqZ791d5442FyLKEzzVd4dnhAIibLkD++EZuvf1CBg9+i6uu+Rjr9Jvh5tp4d88OJ/y2C8nOLmXBgl0EBz/Em28upLraiaYJVq7c76lfdHQgZrMe6POLL9by2GPfe23vvfzt/Kv2EE/1mDDhClFR8Y6orHxHXHRRqwbXN2x4SlRUvC0yM18RrVvHiJYto4TNZhYXXthM+PlZxLJlj3r2zoX4QKg/3Cns1ROF3T5JTJhwuQCEj49JZGa+Iqor3xbqD3cKTXtfqOpkcfjwa+L1149YxrVqFS3Cwvzqvf/GG3uIQ4deEwcOvCQ+/vjGBte9h/c4Hcc5mcvuWHTqFI+vrxmDQaZ16+h61ywWI7m5pRQVVXPLLZ+TnV1Ct26J7N37Aj//fC+HDk2gZ89kAIQQqKrG5vgQJn+wnLKyGgoL9W206monrVs/z6/zd7GjaRjz5u1ECAgP9+f++/vx+OMXAXr8vYKCCs/7AwN9mDLlBiIi/ElICOHGG3vw/vvX/00t48WLzjm3pn/00W+ZMeNWDh8u55NPVta7NmpUR/r1S8FmMzNx4jUeYxignhedEILduw9z3XUfUVZWw44dz2GxGHnllctITY3goYe+5aKLWjF0aGssFiO+vhYyM4uJiwtGUWSeeeZi1q8/WM9/vw5FOdLPShLHTZHtxcuZ4JwT+k2bsmjR4tlGr+3efRiQqKx0kJtbRnx8iMdwRtM0T/Sc0tJq+vV7nUOHyvHxMVFZ6UCSJEwmheuv70ZVlRNfXzNms674i48PYcsWPXlGXFwwQuhbhn+ktLSahx76htdeG4XbrfLFF2sZN+77M9MQXrwcg3NO6I9HTk4p1dUOgoNtfPHFGnx9zXTqFE9+fjm7duXRrl0TFEUiK6uUuh3A6monbdo8z+uvj+KyyzoiSVBV5cDX14ymaciyjCxLtG/fhLZt/8Ojjw5m8+asRlNbAUycuORP03F58XImOefW9MfjueeG4+9vRVFkHnxwAFde+SFTpizn22830KVLAsHBNgICfGjdOppbb+3lee7QoXLuuOMLKipqUBSZdu1iGT9+JgsW7PLco6oaubll3HTTp7z11qJG3z92bE+qqyexfv14fH29e/Ne/hnOWaFPSYlg3rwHmDTpGgwGmbvv7sv113fDZFJwuVRmzFjLjz/exa239uKWW3qhKDIOh7s2DJbEFVd0wN/fwoABqYwe3Z3k5DCCgmwYjQpDhrSmosLO0KETufbaj1ixYh+33PI5xcXHt5d/4YWRWK1GmjePYNCglvWu9es5hNeenULPrv3PZLN48XLuTu8//fQmunZNpGfPZFavTichIQSjUUFVNbKyirnqqs4eSzhNE9xzz5eUl9fw0kuX0LJlNKmpkbz66uXceGN3QA+JXaeEc7lUWrWKZs2adL7+ej1ff73+hOo0b95OrryyE0KIehly/H0DePz+lzEZTbRp2YlLx/TEbq85zS3ixYvOOSv0hw+XezTjBQWVTJgwj5Yto+jcOY74+BAURaa0tJoNGzKZPn01n3/+O6BHrI2LC0GSwO1WMZsNKIrMyJHtaqPdQnp6IVu3Zp90nW655XPee+83MjOLyc8/spXncrvQVBVN0XC7Xahur0bfy5njnBX6G274hNtuu5D09EJPsornn5/D0qWPoCgyQgj8/Cy0aRNTz+X1/vu/ZuHCNPLyyggJsXHXXX2QJImQEF9PIgsfH1O9LLh33dWHN9+8kq1bc+jb9/VjZq0RQrB+/UHCQiLp2qEdm7avxeVyUmOv5oGnx3BBl74sX70Ql9ub787LmeOcFXpNE4wc2ZZWraIRQjBr1hYOHy5H0wR2uwuXS8VkUlAUCZvN5HlOVTV+/HETAK1bRyPLcu3+PZ59/KioAIxGhalTxzBiRDtkWcJsNpKaGkm/fins3JnHt9/egapqXHHF+xQWVnLddV3JyChiy6YiPnl7JkajieqaSh597jYOZOxm74Gd7D1wbLfgk0WWZVKbtuFQQQ7FJYV//oCX84bTIvQBAQF89NFHtG7dGiEEY8eOZfXqf9ZVdNiw1nTuHI+vr4W33rqaWbO2kJlZTM+eE+jePYm5c7czbtxFmM0GnnpqVqNlbN+eS2WlHX9/K9XVTlat2k/v3s1YuzaDlJQILrtMD94hhKCy0qFb8G3O4j//GUn79rEIIXj88YsIDfVlxIi2ADx430IMigGT0YTREMQ7L33ODXcPpbTs9Ga7GXfvi1zYfSBC07j14Ss4lJ9zWsv3cvZyWrT3b7/9Nr/++istWrSgXbt27Nq1688fOsNs356LJElUVNhZteqIw8uWLdl88MEyMjOLuffeL7nttmn1YuIDTJ8+lpqaSbz55lUMHvw2M2du5oEHviYgwIrRqNChQxOefHIIqqpRUWH3TOubNn2anJxStmzJoqbGhd3uZuvWbJKSwjxKQyEXs3PPFo8rsNXiw11jHvO8+8ar7mLmZyt44PanT+n7O7XtjtXiA5JE08TUP3/Ay3nDKQfR8Pf3Z/PmzSQlJZ3wM39XhpukpFCSksJYsmS3x1f+z0hICGHXruexWIyoqoa//wOeNfpPP93DwIEtPGt7TRN888167rprhmeNHx8fQrt2sYCgutrFwoW7aNculg8/vIF9+wp4+/UdOJ0q/XoNY2j/y9CExs/zv2Pixy/zwO1PM/Kiq5EkCafTwU33j/zLI/RF/S7h/tueIiNzH488d4t3N+A844wG0UhMTKSgoICpU6fSrl07NmzYwAMPPEB1dfWfP3yGOXCgkAMHGl/PJieHIcsSe/fWDz6Zl1dGfn4FwcE+ZGQU1VPKvfLKr6SlHaJZs3CGDm2NokgUFVV7BD4qKoCtW/8PSYKtW3Po1WsCoM8uunV7lYsHjeLZR98B4IPPXmfSx69gtfrw4y8zkGXFI/BCCGocdkpKG8b6O1HmLZnFvCWNL1u8nN+c8vTeYDDQsWNHJk+eTMeOHamqquKJJ55ocN9tt93GunXrWLduHaGhoY2U9PdxySXt2Lr1/9i8+RmuvrpzvWsOh5uJExdTUFDJhx8u95y/7rquzJ//AHff3ZdfftnO9OlrmD59Dc8//5PnnqSkUGRZj3/Xtm1MvXIVxcCYq+7GYrZiMVtpmdKO2fO+5uuZU3E6HWiayradG7A7aigtL+b2R67A4bSf9m+3+fgRFNB4xGAv5w+n5LcbERFRL2NNr169xJw5c/6yr+/fcUyefJ3HZ/6zz26udy0kxCbsdj3DjMPxrvD3twhAfPjhDZ6EFR9/fGPjfsqyJL788laRlzdB3HTTBfWudWjTTSz4dotY/MN2sej7beKOGx9p8LyiGERSQoqwmK2n/I1Wi4/46M0fxIJvt4jLL9YzDqU2ayN+mbFO/PrVBtG/19B/9G/gPc7scUb96Q8fPkxWVhbNmzcHYMCAAezcefq2ns4E7723lMLCSoqKKnn77fp28lVVTqqr9aOiwu6Zur/xxkJKSqpRVY2qqsb34TVNcO21HxEVNY5Pjwq1BZCVk46mqbouQGjs2L25wfOq6uZAxm7sjiPr7+iIJiTFNz/pb+zQphuR4TEoisL1o24HoEfnPphMZkwmMxf1u5QObbrRreOFJ122l7OfU+5V2rVrJ9atWye2bNkifvzxRxEYGPiXe6F/w5GYGCruuKO3iI8P8Zzz8TEJp/M9IcQHoqZmkoiJOf43NnaEhUaJMVffLTq26X5C93do3VX88uU68cuX68RltaN1q9QO4oepy8S0d38REWFRx3w2NDhczPp8lfjly3Xi0Xv+o39XXDPx0/TVYt7XG8VdNz0mfp6xVvw8Y624+pKbT/pbvMe/+zijaa3OQIX+lYcsSyI3d4KorHxHFBe/6UmLdbxj5EVXiy8m/ypuvrbxNF9PP/yamPf1RnHfrU82ev3Gq+7yLAn++38fCkD895kPxOIftosF324Ro6+8s979F3TpJ9568TNx8aBRAhC+Nn+RFN+83j2KYhBGo0ncMeZRseDbzWLhd1vF+Adf/cfb13uc3uN4MnbOWuSdbjRN0LHjiwwe3JLffttzTFPbOowGI/fdOh5FUbj2sltpntSSdz56mbzDus1+ZHgMvbr2x2g0ccmQa9m5Zyv33zqejMz9jPvP7Ticdub/Npsh/S/D5mNj+rfvA7B+80ratOgIEvWWCCaTmeceewODwUhq09as2bicwqLDVFaV16uXqrpRVfhu9me0Se2A0Wji06/ePb2N5eVfzTmT7OJ0YjKZMJlMVFZW/uUyLGYrMz9bgdGom/gKIdi5ewv3PzUa0DuFz9/9GX+/QPIOZxMRFo3NxxchBBM/epmZc788ZtnNklpit1eTlZvhOff68x/TvnVXABwOO1ffPoCKyvJjlODlXOe8SHZxuggICOCyyy5DURRKSkqYP3/+SQl/+9ZdePSe/1BZVYGmaXqqK6Ghaiout5ObrrmH/Rm7Wb56IWMfuJSk+ObsTd/F7Gm/e8ro3X0QW3du4NWnJ6NqGo//5w4ycw4AkJyQgtvtqifwAO1adUGSJFwuF6+993+NCrwkSfhYbVRV1/+ekKAwLht2HXvT01i6at5JtJaXs5FzNojGXyUmRtd4K4pCSEgIffv2RVEMtGnR8YT2tx+8/RmiI5rQLLEFZrMFu6OGXXu28eUPH+Fj9eW6K27jyftfoVVqB2rs1ezYvRmn08H6zas8prlllaVcdclNhASHExYSweXD9Yi5F/W7lImvTOfd/86gX8+hKMqRPvvb2Z+haRpbd65n6ar5DeplMBiY/NrXzPx8JePufbHetReeeIerLr2Zx+99kdapHU6l+bycBXiF/g8cPHgQt9td6zsvcLlcvDR+Eq8+/T6fTZpDcFDjhkVhIZHIskJWToZHeCVJIjs3gweeupFPv3oXs9mCIisIBDarDQAfq42XnpxEWEg4azeuYPWGZUz66BU2bl2Nw2nH6XKwaesaADq27Y7ZZMFkMjP+wVeY+dkKEuKaAvDB568zcFRbHnv+NjStYfKM+Nhk4qITUWSFi/pdUu+axeKDLMkIBBaL9bS1pZd/J97p/R+oqqris88+IzU1FZvNRnR0NO1bd8FkNFNTU0V8bHIDV9UXnniHrh16kXs4i51peqqrOnNam82fsJAIDhfk8p//PcxtNzxEcWkhO3br9w0beAWd2vXAaDSxsWI1jz1/GwDzf5vNvozdBPoH0f/CYbRt1ZmfF3xHhzZdCfQPwmAwYrX40K/nEKZmTvrT78rKzaCg+DCRYdGs2bi83rXnJjzE2OvuY/e+7azfvOoYJXg5VzjnhD4hIQGLxcKePXvQtBNzsqnDaDTSqlUr2rbVU1kvXLiQDh06sG3PKtqm9GTPgV1s37Wx3jMGg9ET1y4iLJq9B3bVS6YZHhLJx2/9yNgHLiEjaz8B/kG0b92VHl36MvruYeQeykLTNOwOO5k56Z7nLh8+mgG9hhIWEklIcBgAQ/pdwoKlcxg64LLaZBxuVm9YRsvm7Xj1mfdxuV08/MxNHMw+0ODbnE4HYx+4lJCgUPILD9W7lplzgOdee+ik2srL2cs5JfSJiYn07dsXSZIICwtj+fLlf/7QUQwZMoSIiAhPLPzmzZuTl5cHwLK18/npp58aPDPmqrtwu90oikJpWTHvT30NRTGQGNeMmKg4jAYjEhLJCSkMGXAZqc3aIMuyHowjIpZV65bwzH/vJzAgmN9W6kq0px/6L/16DauXfluSJGTZQJPoBGRZwe12882sT9m1ZyvPPfYmvjY/NE1j6MAreP/T1xr9PlV1NxB4L+cf55TQ22w2JElCURR8fX0bXA8KCsJisXgE+Y8EBgZ6IuVomkZWVhYHDhzAarVSU1PfNdVq8WFI/8vo1X0giqKgqipbd26kuKyIF15/FICBfYZz903j2LlnK106XMiwgZfVJtXQSM/ay4tPTmTX3m28/NYTqKoeFy8kKIw+FwypJ/B19dmxexOvvfcsD972NFU1lXz548cArFq3xGNOu2GLd3ru5ficU0KflpZGeHg4VquVlSvrp7SKjIxk2LBhCCHYvn0769ata/D80qVL6dGjB0VFRaxfv57S0lIAj8CbTCYCAgIoLCzkyQdeoWvHCzEa9Ay0iqLQu/tADmbt8wjjwqVzWLh0DsMGXsGYq+5ClhU0VWXTtjV07XihHnsvKIznWnfl/7asok3Lzrz27BSPwAshyMk9iO/KX7jl128oKy9m6IDLadOiA2n7duBy6QZC83+bzc7dW3Cr7j/1vx/UZwTDB1/JrLlfsnjF3FNqby9nJ+eU0LvdbhYvXtzgfOfOnUlOTkaSJAwGA/Hx8RgMBtLS0igpKfHcl5mZSWZmZoPnASwWC9dddx2yLJOfn09ocLhH4Oswmcy0Sm1Ps6QWHMw+gNPpIDqyCffd+iRmkwW36mb2vK/p12uoR7CbfT+FwVtW0URWOHDRlRgMhiN59YSg73cfELdsDu1G3c7W4aNRFAM+Pr60aNaaJ+5/hQu7D+RwQS6PPnsL4x98FaPJzAuvP+qx/Dsaf98AHr37eYxGE6lNW7N6wzKqa44fq9/Lucc5v2WXkpJChw4d8Pf3R5Ikqqur8ff3p3Xr1owYMeKYz/n7+2MymbBarUiSRNu2bVEUBVmWiYiI4I33n2Pz9rWs37yKhct/JjPnAHmHs4mLSeTtFz/nw/99iywrOJ0OEHquvMrKct6bOoElK+bidDoIXbuYxG8mAzBGU7nwm/dB0/RpvaaROvlZ4pbNASD5uw9J3LGe4uJ8qmuq0ISgb8+LMBgMREc24fH7X6ZFSjuaJ7XgpmvubfSbnC4nLrcLt+r2/O7l/OOcGukbw2Kpn5V21qxZXHnllbWKscb7vK5du9K6dWskSUKSJMrKyti0aVO9NXb3nl144sU7cbmOCI6/bwDfTV2KQTEQFdmEwIAgCovzefyFO+jUrgcLl+oC/N7UCcz85Uu6dezFW72HewR7YE46a566kYr/fEzLD18kevFMT9nZfUeS1+4CJjx/G61S29OpXQ/PViLArj1bSGnaCoCMzD2NfpfdUcN9T95A9069WbVuiWd54OX84pwX+i1bthAbG0twcDCrVq2ioqKCpUuXkpCQwPbt2xt9Jjk5GYPB4Al57e/vT69evdA0zTPaG41G/Pz8KC4uZlCfEQzpfynfz5nO4uW/MLD3cFZvWMYVF4/mUH4OVTWV+j6/o4akhBQCfAPYtH0tfXsOZV9KO4wGA1G1At5tzxa4pn40n0+A72WZ+41GXhw/EX/fQE+H5XTqGXU3blvDpu1rMRlNrFr32zHbIz1zL+mZe09H03o5SzmvHG6O1ogfj9TUVHr16oXb7cZoPLJulySJ8vJybDYbWVlZLFiwgED/YL78YD4mkxmXy8mI0T1wOh288tRkOrXrjqpqSDIosoHcw1mEhUQAuvClNm2jbw9qGinv/V+9kb2O6UYTN7qcTHzlC1qmtMPtdiHLimeXQQiBLMts2raWR54de9Jt0rJ5O2Ki41m6ap6+FPFyTnDeOdwEBgbSsmVLcnJyOHjwIAC9e/cmNTWV7Oxs5s6de1zhT0tLY/fu3QQHB3PZZZfVE7ADBw6wdu3ao+6WMBqNtcKnb92BrumXJBlJ0kDoHYbN6ovBYMSgGDwCL4RAkmXS7mhc6LMf+R8PlhSyPW0TzZNboqoqC5f9zIXdB5KVk0FCXDISEstWN7S3/zNSm7bmf89/hBDQu/tAnnn1/pMuw8vZx2lT5MmyzMaNGxs1YPm7GT58OK1atWLAgAEEBAQQEhJCaqoe+z0qKoqAgIA/LUMIQXl5OQ6Hw2PZV2f0czQBAQG43e5aHYGEXGvY8+o7T7Fo+c988cMUpn45kd9W/cqsX7/Ube9rlw2aplFVXcmy3+dTffewRutx45pFDO49nMuGXY+iGDAaTfTo0pfqmio+/WoSLpcLSZIoLS3m+XFvMe7eF7FYrBgNRgb2Hk6rlPbH/MaoiCYIIbBarMRGJ5xAy3o5FzhtI/0DDzzArl278Pf3P11F/mXqLN5AF9SYmBiPoIGu3Gvbti2JiYns3r2btLS0RstxuVzMnj2bpk2b0ratnqGmsLC+3X3X7p3IKzxIbEQys3/9yqMRLy4t5O0PX6TGfiQU+MRXptfbg9+8Yx2tm7dj9Mp5JBU1bikXvWQWmqax594XPfUP8AtE0zTGXH03Nh9fZFnm3lueJDAgSM/Km5tBckIKPTrrefjGPX8729M2NSh7xZqF9Ozaj8S4ZrzxwX9Opom9nMWcFqGPiYnh4osv5qWXXuLhhx8+HUWeEr/88gtt27YlKyuL0tJSVFWlXbt2WCwWhBAMGzbMY7kXHh5O586dMRqNLFq0qN4+fVRUFEOHDgVg586dHDp0yLNcAN0gx9/fn1Vb5uJ2u/n2228B3Qb//de+weZj4+uZU0mIa8a6TSv4ecH3tGjW1rMr0KFlZ1pMfpaoo3zYc/tfyu47nyXl/ec90/3YpT9RWl5C/vh3kRSl1vvPyfLVi0iMb44kQUbWPlr7dqidoZQQH5OE1eKD3V5DdGSTRoXe5Xbx4pvjzsSfwMu/mNMi9G+99Rbjxo3Dz8/vmPfcdttt3H67HpX1TMe9LywsJDs7m7Zt22IymdixYwfTpk1jyJAhNGnSxDPq1/20WCzIskznzp3rCX18fDyKoiBJEm3atKFp06ZkZWV51u2qqrJhwwbatm3L/v37qaioICQojJFDrsbH6oPBYOSay25BURS6d+7N519N9gi8EILQ9b95tPYAef0vJe2u5xGSxK47n0MCz/XWm1Ywfdob2C67hW27NvLT/G/JyklnwdLZBAaEEB+byNad68kvPMT832az/+AeHr37ebJzD/KbNzCGl6M4ZaG/+OKLyc/PZ+PGjfTp0+eY902ZMoUpU6YANGoCe7qwWq20atWKdu3a6cLWvTsHDhygpqaGdevWERAQ4DHUEULgdDo9irijvfKSkpIwGo04nc5apZyE1WplwIABhIaGsmPHDmRZxuFw8PnnnxMcHMxtt9zFFYNvRULCYDB6NOsAsiTTvk0XzxQdoKBLP9KvuovEbyYzNzwGMfYJJLeTjMx9pDRtTdrd/0HTBDG/zeI54PnZn/Fml3507dCLXt0G4HQ5mfjRy1x3+a0EBQTjVt1ce8dghBCk7d3GrQ9dfsba2cvZyykLfc+ePRk5ciTDhg3DYrHg7+/PtGnTGD169Omo30kzePBgwsLCkCQJt9uNpmkeA5qioiK++eYbRo8ejaIoaJrG5s2b6dSpE4qi4HTqxirDhw8nKioK0GcNdTMTIQRNmjRBURS6du3q6SiEECQmJpIQ2xRJkjAaTJ5ZhKq6EYAiy1RVV9XTLQgh+C61AyuAn/JzEDd093zHpFemk5SQwu/X3883K+eyLSGFT+9/mdjoeD3ghRCYTWb69xpGZHg0sqzgcNoJCgzxmtZ6OS6nLPTjx49n/PjxAPTp04dHH330HxN4wDMqu91u9u7dy7Zt23C73Z7rdX7yERER7Nu3j/DwcDRNw+FwsGrVKgICAjzutUIIrFarZ7++rhOBI8pCWZYxGAwUFBRwMHcvKQkdCPQLQTeB0KPoqpqKwWyha4de7Nq7laYJqQj0yLYTP3qZfMBqtfHG8x8T4B/Ec689zIPP3ETThFSycjNITG7F8w//j7DQCFxuFxp6R2MwKMTFJPDF9x8xbMDl/LZqHjl5jfsOePFSxzm3T79w4UK6du1KQUEBGzdubHA9JSWFnj17Arr/fXBwcD0BLisrqzcF3759O+3atUOWZXbu3MmOHTto3749KSkpyLJMeXk5u3btwu12c/jwYWbO+gF7tYMpb/5AaHA4sixTWlaM2WTGaDSS2KQZDz1zM5k56Vw27DqefOBVpn45kasvHUvz5FZIksSkV77grnFXk7ZvOxFhUUx4dgomo0kPsKm6eeKFu7hi+PX06jaQkOBwQoLCuPLWfn9bG3s5uzmtDjdLly49rhPL30FJSQnz5s1rVOAlSaJ9+/YYDAYURSE4ONizXw5gt9tRVZWCggJUVUVVVfLy8pgxYwYzZsxg7dq1VFVVsXLlSlatWkVRURH+/v6e6LmZmZnk5+djd9oJCQrzdB6ffjXJExnXYrFy83X3ERebyLWX30q7Vp157rE30WqVg/oIbuDum3WtequUDiiyjCzLuJxOHv6/sWzdud5jcw8QF5N4ppvVyznEOe9lV4ePjw+tWrXCZrPVc5xxu91kZWUxa9YsT3rtX3/9lbVr1zJv3jxPB1DnU1+31ZeWlkZISAiyLOPr60twcLDnXU6ng8ycdJxOB7Isc99t41m7cblnPd+xbTdsVhuSBC63k7LyEv476Wl279+BpmnU2KvZl57GFReP5qmH/ovBYKSyqoLxL91N2t5tAPy2ah5OlxOn08HGbav/5tb0cjZzzk3vG6Nuv/3oaXvd7xs2bGDr1q317nc4HGzbpguX2WxmxIgR2Gw2Vq9eTffu3TEYDCxevJj9+/eTlJQE6Ik7f/vtNw4d0o1s7h53Da8+8z5tW3bCaDBRUVnu6WxUt5vtaZt54oU7adG8LQuXzqGyqpy7x11Dq9QOBPgFsnrDUma8P99TT01T8bX589qzU5iz4DvmLZlFeUUpFrMPS3/3bsl5OXHO6pG+TZs29OzZE6v1+GGbY2NjPbHsi4uLPRp3gNzcXCwWCyPRVW+dOnVi0KBBHpuDpKQkAvz86JqXR/fu3TGZTCiKQtu2bVmyZAlr1ujhqes88eqwO2p495NXKSw6TN7hbD79+l3Gv3w3s379ipvuH4ndUcPWnRv4euZUikoKPM/tSNvEqnVL0DSN5asX4Xa70DSNzJx0nn54Ap3a9eDJB17Bz9ef39cvZcnKuWiaxiVDrmH8g68SF5N0Um3YpUNPvp6yiAn/9yFmk+WknvVydnLWjvTJycl07tzZYxU3d+6xQz8dOnTII+S+vr4eAxlJkhg5ciSXbNrEyE2b+NbXl/nt2iEpCvHx8Xz33XdUlpdz04oV9Nq7l9gOHfi5SxeEEOTm5gJ6qm7QTXbrTHTj4uJISEggIyODq24bcKQe+Tms3bgC0DPSBAWGsOz3BZ449WaThVEjb8Rur+bHX77k3U9ewaAojBxyNa1S2nu2CFXVzeXDbmDvgV2sWr+ENi06cvuNj2A2mUlt1oYb77n4hNvx/tueIiwkAl+bHz279vOG0DoPOGuF/mRo0aKFZ5pstVo9a3mXy0W3Q4cYuUk3Ub2yspLoFSuY1qcPmiTR64ILeGzPHnrt1f3PR27aRFZoKFsTE4mMjASgoKCA2bNn4+ur28DfcsstHoOc5s2bs2TJEvbv36/Xo3lb/vvMB4DAaNC18W1bduKdKS8BcMeYRxk28HKEpqFpgh9/+QJfmz7jkCQJp9PJVzM/ZsRFV3Hj1XcBMGHS0xzMPoCh1nLQVJs770TZvXc7QQG6biIja/8ptLKXs4WzVuj379+Pj48P/v7+jWrqj6ZOQVe3965pGuvXr6e8vBzrwIGsbN6cnnv0aDN1P6ddeCGP791Lr337POWsbN6cbQkJCCHIz88nICCAiooKioqKKCoqYtSoUSi1tvF17zvaAemqkTfha/OrrYOKohhIaJLsuW61WJAlCU2SsNZmmnlv6gRat+iAn28Ar016hqW/z2f0lXd6vqV1i45s3LrGM3MJDgzFYDDUs02ow2aU6BRpYleRi4JqfcfilXfG06V9T3IPZXny5Xk5tzlrhR7wKNtAN5ap23qLi4vDbreTn58PwO+//05MTEw9AUxNTSUgIAABTKs1Hz5a8Ot+r2N506ZM790bgR7vLioqilatWlFWVsbatWvx8fGhoqKCoKAgQLfLLy0tRQhBQEAAZWVlWCzW2iQVKvvS07BafUhOSOXnGWt58sW7mDz1NTRNUGOv4rs50wAoKSvi2jsG16vLN7M+5cpLxlBZVcGnX07C6XLUevdJVNdU0SypJU8/9BolpYWMf+luyivLAHj3omDCfGRUAdfNKqTSqSfMWLtxKdrfHkrFyz/FWR85x2AwMHLkSEJCQsjOzqa4uJiWLVsCuqFOVlYWAO3ataNLly6eqfcfzWGzDh7kqfR0z1T+aD4B7pBlLrviCgIDA1FVFbl271xVVY+rbFVVladjKS0t9dj4q6pKVEBzBvYe4THNveLmPlx96ViuvvRmZFlm1bolPP3Kfcf91qM7tj/SNDGVzu0vYNnvC3j8vpdo06IjTpeTj6a9yXdzpiEBC64NR5El7G7BXb8WkVOhMnFwMM2DDXyxo4qPt/z95ruSbMBg9cNdU45oJAefl7/G8WTsrNbeA/Tr14+QkBCP33xERARGoxFZlj2jLkB6erpHQAFPkso6li5fzrDshmGjAV5v3pybb7mFwMBAQHepLSvTR8/S0lKPKa7L5aKkpASn00lAQMCR7LdBEfUSWLhcTmocdtZvXonL5cThsLN89cJjfmN4aCTffryEuV+uZ+iAy4mLbaih35eexlc/fkLuoSx27N5Mjb0aTVPZn7Eb0Hv2SRsqKKpRmZ9eQ0aZSmqIkTh/XRdwZartpNr9dKCYbLS/8QM63vQJXe/6jsh2/6xh1/nCWS/0ddFuhRBUV1ezatUqSktLyc/PZ/fu3Z77ysvLmTZtGocPH8blcrF9+3bKy8txuVxUVFTQumVLvjmqkziaSS4XMtSbGezYsYOPPvqIjIwMz/nq6mq+//579tXqAepmAHZHFUJoaEK3yjOZLLzy9Hvsz9jNrQ9fwdtTXmTd5pWNvhv0fPV+vgEYjSYevft5pr49ixeenHjM+zcvfJdfv3icR58ezabtR0J7zdxTw6gfCnlzbQUAB0rdVLsFDrdgdY4eH88oQxM/BanRkv8cs184Jt9ju07LRguKyQcAW3gyRoufRx8R3dHrFfh3cFav6QGWLVtGz549sdvtLFu2TM/x9s03gB7Kqnnz5mRmZlJdXc3gwYM9U+7WrVuzbt06ioqK8PXx4WNZ5sLabbg/0i89HdPSpUzr0wcBZGdns3v3bjRNo7q62hMuq7y8HIC1a9cSFRXlmWk4XQ7mrphObERTOrXsgyzLdGjdle+nLqWyqgKj0YSqurnh7qFUVJY3eP/G7WtRVTeqLCPL+sjcrUOvBvdZFHiwiz/9EyxoYgfhMQ6eOY5CvsoluGFWIeE2haxyFbMCU4eHEGxR2HzYyRO/lZ7U3yI4uQdNBz0ECPbMnUDpwQ31rvtGptLikueRJIk9v7xKed5OnNUlmP3CQag4q4oIjO/U4Dkvp5ezXujLysqoqKggPj6e5s2bs3PnTkCfgtfZxHfp0oX9+/cTERHhCW0NeqqrHdu3M8PHhwurj4S1Wtm8OdMuvJAbli+n11HKPbvdzkN+fmzbscNz765du1BVFaPRyK5duwB96eDv7+9ZgwshqHFUsS9rK9HhiYQHRSMAo8GIv18gkiRRY68hMjyGispybrzqLi67+HoWL/+FiR+9zIGM3Yy+6yI6t2rPuIffBmDjtjUN2uK2Dn4MSLSgSPqsJNym/Gn72VXILNfX0rH+BoIsCmaDRJfok9v6AwhO6o5c61YclNClgfCGNr8QpdZnIKzlAEozN7J52l2YfIJofeUEbKFJNBsyjm1fP4S9tPEO2Mupc9ZP74OCgmjatCk+Pj5ccMEFnvN1TjV1R3JysieqLeh56Ddu3MjlBgPX/FHg+/RBk2U+7NKFlc2be64NyMwk8SiBDwoKws/Pj4qKChwOB4pyRMjqtswkSSIjI8Mj/PNXfs3F13cjJy8Tl9vF/ozdVFSW8fu6JexLT8NitjL6qjsJ8Avk4oFXEBEWha9J4v1+Co/F7+CnCX246f6RfDTpXl7pG8gNrXw87zTKIARoAg5Xupnwe8NZw/HIKHWzr8SFEIKf9tY0uG7yDT3u1P3Q1jm4ndWoziqKD6zGJ7S+I1DhnmWoLgea20n+zgUAhDTtSbvrJ2G0BSHVBRxRGu9wjD6B+EamgHTW/7f9RznrR/rq6mpPoIyKigrPeYfDwfLly+nevTtm8xGPtDplWlpaGsXFxVQMHszsggJGbtrEnLAwZl+oZ391u91s27GDz2r/3XPPHp4DZteW07JlS7p37+4pr07gV65cyd69e+u9Mz8/32MQtHXrVlwuJ7c+dDmBAUEUl9QPtOlw2jmcn0tgQDAOh52SsmLahxqxmSQMssSAeANvr03ni5EhRPsZaBdhZEehi02HXXywqRJNgMMt+HhrJc5jKMNTQwzE+hlYmmnHddRmgCrgvvklGGRw/2GTICihC82GPAbA3l9foySjYfSjysN7Wf/hdfiEJtLqilcAyNvyE9mrv9CvH9rNho9vBElCc9kBiLvgRhSTvpUpNI3SrE1UF2VgsoUgNDeuGl1havILo921b4MkU5K+ln3z32j847z8KWe90DscDr777jvCwsIoKSmhTZs2HDp0iIKCAvbs2UNOTo7Hfz4+Pt7z3NEGND916kRGUBDvZmayb+pULBYLqqricDjYsWMHn7jdXMwRgQfdJr9uqXD09l/Pnj099v110/u6wJsul4tVq/RU0pqmNhB4AAnBHY9eSZsWndi1dytOp4MdBRIVToFJEfyyTx+Bq1wCtyYwSBJP9QxgUYadyRsreWud3vFZFBjZzEpepcq6PD0iUHKggRf6BBBpU9AE9I038/TSsgZ1+KPAAwQl61N3gKCkbo0KfR1+kal6fAKDmaD4zh6hB9Dc9RNqlGZuJiy1H5KsIMky1sAYQppdSPKA+xAI0mb/h4rcHdhCEgAJxWghILbtMd99ogTGdaTpRY/grChg58xncNsr/vyhc4RTnifFxsayePFiduzYwfbt27n//r8/YUJVVRUZGRkMHTqUrl27Mnz4cGw2m+fa/Pnz2bRpk2fLTlVVz9p/2bJlpKWl8XlZGXv37/co5xwO/T+ny+VCFaKewLds2ZLw8HBdM2+3U1VVVW/7r0mTJsybN489e/Ywf/78I3HyjgrN/UeCLTJfXxrKvGvC6RHuZvWGpZSV66Pui30CCbbKfLmjivc3VQLwxJJSpm+rQpEhxKowspkPTfyPLC+evCCAuzv68Z/egXSM0IX1iR7+RPnqWXEVWaJbtJl514QzOPHPHW0Ob5uL21mN21nN4e3Ht88v3r8KR0UhqstO1poZDa4bfQKJbHsxtvBk0pe8x+5fXqbOXMTiH0FYi4HIBhOyYiIoQU/xVZa9heqig6guO5mrp/9pff+MJj1GYzDbMAdGEZx8wZ8/cA5xyiO92+3mkUceYdOmTfj6+rJhwwYWLFjgUWr9nVitVk/sO7PZTFXVEWOTgoICVqxYQVRUFFu2bMHhcNC9e3eaNWuGyWRClmXi4uL47bff6qWvjoiIYNiwYaiqyk8//URJSQnNmjXDYDCgqiqapmG1WuuN7Onp6RQWFpKTo+eKX7BgAampqaSlpREUFERycjL79+/3WAwC9Iw142+WMcgS17eysTBDn/6mhhhJCTZglCWuamHjk636NxXbNT7bXsXgJAtBFhlNQIn9yBAdYdMVcna3RqiP3ukU1GgkagJZ0kVME2BSJG5u68v8dPtx27Yqfx/rP7xO/8efrKldNWVs+eKeY15vedlLmPzCQAi2fHEPZQc3Unl4L7bQBBzlBeRt+gH/6FQ01U3B7t8A0NxOdnz/xDHLlA1mNNUFonHjpT9SlrUZS6AeB7Ey//zK7XfKQn/o0CGPD3llZSW7du0iJibmbxX6iIgILrroIlwuF2VlZaSnp1NcXFzvHovFQkpKCqGhoSQmJrJhwwZatmyJwXCkCUJDQxk1ahRz584lu9ZQp23bthiNRgwGAykpKaxevZqtW7fSv39/VFXFZDJhMBioqalh/fr17Nu3r14mWziS995gMHDjjTdiMBhITU1l2rRpHoXf5nwnmhA43LDk4BEl2sEyNw4VQGNrfv1yI2yyR4C/T6vCpR6ZbUxYXc6DXfzILnez+KAu0G+tLWfKsBB8TRIzd1cxJNkHTeDZo/9zJFpd8Qp+UakU7FrM/kXvNLgjsu3F+IQlk7P+GxxljSfwMNmCUQwmVJcdg9Uf34hmlGVvI/P3aVTmpSE0N2s/uFbXSp6AwWhYiwEk9r0L1VnFtq8fwVnZcNn0RzJXfUbxgdW4qkpwVOT/6f3nEqdVDRofH0+HDh08PuZ/F506dcJisWCxWEhPT2fTpoaJHdq2bevZsjOZTLRu3bqeX/3R6/LevXsTEaEnmszNzfWEzqoz6U1PT2fq1Kn88MMPgL4EyMjIYNeuXbhcLiIjI7n55psZPXq0x4oP8BihQMOpfla5yrUzC7nllyI+317NRYkWrmvlg6rB6J8KeXhRCeOXltb7piFJVsJ9FHyMMte39mXi4CPRew6UuvlkayVdY8y8MyiYALPEPZ38sBn11Fu946zcMLuI++cX8/b6xtezUb4KyYFHOsUm3W/QtedAaGo/ZGP9ZYF/bFua9BhNWGpfUoYee1Te++trVObvI2/TLGTZQPLAB4npeBnxvcYitFpHIaGhJwGUsQREIcnHHp+i2o9EVgzIRotnOXAiVB7afd4JPJxGRZ7NZuP777/nwQcfrKdFr+NMJrvIysryRLCt82//I6WlpZ5U06qqkpOTg81mIyYmBsAzPQfd537IkCFkZ2cTFxenh7CqqfFM12VZ9sS/X7p0KRUVFRQUHAmEcfTsoHnz5p6Ely6Xi/nz53um+n+cEZQ7BeVOlb5xZh7s6o8iQdMgI/9ZUUZaUUOvuW0FLlwCTEKgyBLJQYZ6zhR3dfQjxKrga5S5o70vXaJMyBJoQrAww06JXau3JDiaduFGXu2nGxd9vLmC73bXYAtLOpIvoLLIo4H3UDe1FgIh/rB1IMlIkozQ3JRmbqQ0U/eM9I9tS51w20ITaXn5S+z88RlPWS0vewHf8GbYyw6x7euHGrXPz9+1iLgeoxGaSlnWlka/x8sRTovQGwwGvv/+e7744gt+/PHHRu85mWQXvr6+dOvWjfLyctavX/+n6aW3bdtGbm4uLpfLYxVnMpkYNGgQPj4+LF68mD179lBTU4PNZqOkpARN0xgxYoTHaebjjz8mOjqaIUOGIMsyJpOJ5ORkzwygLtONEIKkpCQSEhKQJIl+/frxySefeOoSHR2Nj4+PR2mY/Qd7/qysLM+M4ViEWnWFnCyBr6lxxZ+PQeLalj4UVqsU16gkBhr5amdVvcnwlsNO4vz0tf3gJCtuoWvmdxQ6+aBWIXg0AWaJYclW0kvdNAs2YpRBkSW6x5j5bncN2Wtn4BMaj+Z2snPmsw2eL8/ZTsbSD7GFJ5O7aabnvCUwhtaj/otsNLNn7n8pzVh/5JnsrWSv/5b4HnrYdFtYU6xBsdQUZyIbLfhFtUCSZCyBUbS5+k1UZzV75v4XV/URvcuhzbMp2rsc1VnTsCPy0oDTIvQff/wxu3bt4s033zwdxdG3b18iIyM97ql7G/F8+yNFRUXExcVxxRVXUFVVxb59+4iMjERRFHr06MGcOXPqCVtUVJTH971OU5+bm8vcuXOJjIykffv2nsw31dXVbNy4sZ6zTh1HO9soisKQIUM8/uyzZs2iqKjomHVODjLwf70CKHdo/N/SUpqHGLmnkx/RvgpOVbAm18k7x5h6D06y0CbMhNkgUWrXeGVVOaE+MiYFz/785I2VmBRdkI2KxOEKN/PT7fy4u7peWUYZxvXwp2eMGaMi4dbgxZVlFFSr2Ewyn2/XlYeVh/eycerY4/4dCtIWU5C2uN65kKY9UUxWJFkhqv0l9YQe4NDmnwiIbYtfVCquqmLstboAzWWnaN9KQpr2wu2owhocixCCyHbDyfp9Wr0yXFUleDkxTkuGmxtvvJGtW7d61tLjx48/bviqP8PlcnkE7I9T4ONRtx/u6+vr0ahrmtao4Pn7+3uSWDidTkJCQiguLiYvL4+8vDxyc3NJSUlh//79nmk9QP/+/UlOTvakiN6xY4enjnV79nVUVjYcTY/mjva+xPkbcKmCyUNDCPc5KtuuJvhlv53DVY1PvzPLVARQ49KocAqe7uWPDLQOM/LyKn22I4Cf9tYwOMmCpsKPu6v5bndDS7s+cRZ6xpqxGvTljUvVcGuC9zdVokgS2/JP/G9Qhy0sGbejCkf5IUozNxLd6XIkTaWwVhuvf6RMy0tfwC+6JYW7f2PbVw/hqChAqEfet2/e6+xfOJGo9iOI6XwlANVFB/Hy1zlloV+5cuUx957/KkuWLKFNmzZUVFSQkZFxws8dPHjQk3s+LS2Nffv2YbFYPEkpIyMjadGiBQcOHODAgQO0aNECPz8/fHx8GDlyJNnZ2SxYoJuHHj582KMf6Nu3L/Hx8WzZsoXk5GQ9dZXRyL59+zzrddD1AnPmzKFZs2akp6d7ZhDHIq3YReswI5IkEWqVPcsHgBqXYFuBEwm4r7MfHSNNfLOrivYRJjLK3Hy5o5qHF5YQ6iMTZJHpEGHEqEiE+ygYZLi+lQ2rQeLzbVVcM7MQH4PEodoOxN8kYTVKng7lUJWKhITDrVHtEvy83060r8JtHXxBQKRNZsbO6mN9RgOiO11RK6ASabOfoyJvF5s+uw1ZMeGs0jtgxWjFHBCJb4SeCiw0pS8HFr+LLTwZt70Se2mt/sRoIaL1RTgrCtn762sITSM0tS+RbS8mfclkqosyTrheXnT+lRZ5TqeTDRtO3tNqw4YNZGRkeAxmjkaSJIYNG4bBYCAxMZEvv/ySmTNnEhUVxZAhQzAajcTGxjYoMygoyGN916VLF8rKyggICECSpEaz9BYUFNRT6h2PqVuq2FHgotwhuKWdjfaRJvIrVT7eWsnSTAduTR+5hyRbsBpkHu6qB+hwqoKscpXlWQ4ogiCLPoW3GCReX1vO9S19uL61bpxkM0q8vraCcofemSQHGZg4OAhZkvhgYwVLMx3sLHQxbnEJMX4KbcKM9Ikzc7DMjVGWkIBovz933DmawPhOKEYLmurGNzKVirxd9SzeAuM70Xzo43oHV5uXz16aS3Sny2vdayXSftIt8ZL63k1wcneE0Ni/aCKK0UJwUjcUo4Wkfnez/Ttvqu2T5V8p9KfCsdbQNputnkNM3Yian59PcXExYWFhnuVJXWpqi8XCjh07PDnsKioqmD17NkOHDsVisfD777+fUl3DbTJb853UuOHRxaX4miQqnfWVloXV+ihsd2seYxokcGuCYckWFFmidxMzzYP1P+UDnf1oHWbEUDv5CrbIXJxsZUW2nTKHoFOkCYMkYVQkbmrry12d9L38O+YWI0twf2c/rEaZQLPMxkNODBJ8uvVIByopJoTqPO53Za+ZQfOhj+OyV1C4Z6nnfPyFtxDS7EJUZ43HpFdTdbdkg9WfgNh2RzqLiOZU5O7AYPVHkg0IzYXB7Iu9LA8A1eXAXt74To2X43PWh8s6UTp16kSHDh2QZZnDhw8za9asY96bmprKBRdcgCRJHDhwgNWrVxMaGkpeXl49JV5sbCxWq5V9+/bVW8tbrVZGjBiBxWJh2eKFDI8ox6hITNlUyZAkC8ObWTErEmE+CrKkG+Dc+WtxrRFOQ5IDDTQPNpBb6ealPkEYZIlfD9QwJMmKSdH/gBJHnIk8CTKEwKWCJEFxjcarv5eRFGhgTBtffEwSRlm/z+4WPLSwmHs7+dEi1IhLE+wvUbln3hEDJ0k20GrUq9jCkji0dS4Hl085qfb3i2pBy8tf0rfthEBoboSm6VtzkkRZ1lYObfmJZhc9gqumnF2znsVV62sff+EtOKuKOLj8E4TmJqBJO0x+YRTuXvanHdD5yvFk7Jwb6Y/F0fnp/kxPULdfX/d7TU1Ng222+Ph4+vfvD+gWgStWrPBca9q0KX5+fiiKwsALuzFCrEQCmgcZaB5iRP6DcEb6GmgRamTzYV2B1SPGxMNd/ckqd/PEb6XsL3WTVeHmka7+mA26t12PGDO1ejc9gq4QaLUmtlCnVASToncGETaZ//YLQkLf01cF7C9xER9gILvCTWKggeQgA7IkUeHQGLe4vjbcJzQRa1AskiQT2WbISQu921ntqRdA2k8vUHl4D0EJ3UgecC9BCZ3wjWxOftpvHNoyy7Ml56jIZ88vr3jKMfmFYQmIojRrs1fg/yLnjNDbbDYuueQSLBYLCxYsaCCkmZmZzJ49G6PR6DEbBn0/f+DAgVitVpYsWUJxcTFpaWmkpqZis9nY84eouLGxsZ4cdnX790dH2QXdA6/Od99VnIsIBCTwNcn61EoIfXpV+7PKpbGv5MgM4uGu/oT6KIRYZd4fEszM3TVc0txKjJ8BRdLX9Lkby8lpaqVthBlJCHIr3UzbVsUTFwSAEIRmOyiMPeLeq2q6sCu1HY0iSwgBo34ooNwhaBpkACRqXBrrDzmpcYt608Cakizc9nIkSab04PFDjjeGT3DckX8IgSQraC47yQPvQ1b0/4ZGawBR7UfgH92CHd89gWww1fPKM/lF0P6Gd/Xgom4HGz+5uYHXnpc/55wR+uTkZI/DTYcOHRo1gGlsvZ+SkkJkZCQGg4EePXrw888/ExcXR0BAAEajkQsuuICvv/4a0C0JBw0ahCzLFBcXk5WVhY+Pj8ddFsBoNBIWFuaJgusuOMCaaif7S9wsz7YzvkcAZoPER5sqWXvISbBFpqhGrTe1d6pH3HUTAgzc38UPWToyfW+2vZLBmU5+LnRTfpGBQKtCjJ+BOzv6kVfuou+OGqLT7aS39uFgOz3O/p4SN5qAlqFHZhrTt1dRVqvg21vi5s65RUT6KroG/6pwNCF4aGEJe4rdaC47m6ffg8k3BEfZya+lw1sNRqp11BFAYJP2lGVuQpLrKwklSUI2Wmh/4weYfUPIWvsVhzbPJrjpBYQ276u74EoSisGMYrKiuR3YwpKJ7XYdFXk7yd3wfaPvD0zoQsKFt1CRt4v9iyaesGPOucg5E4IkLy8PTdNwu90ntc1XF5ve5XJ5nHQqKyuRJKmehR/gCYyhKApms5kFCxYwa9YsSktLjxSouigvyEXTVIz2EkY3l+gababErpFeqnLb3GJu/KmIZdkO7G5BbqXaYC3/3oYKBPqMwKXpo3KdwAdnOUjcrk+VL67W6L6lyrOeDzRL9K4VeIDE7dWEZNnZcMjJvfNKKKrWkACnqvHCijKWZjloHWbkk4uDebqnPzmVKmtynYxspu8E+BhlLm56JE+gUF21TjQnpwYy+YZStHcFotbXQWiqxx9fc+t1FUIgVDdF+1aRv+1XPWCmrBDVdjjNhz1BYp878I9ppesChEAg0fLyVzBY/Gg+7AmCEjoR0/lK/KJbNlqH5P73YAmIJDipOwGxbU6q/uca58xIX1BQwNdff43JZKovhH9CVlYWc+fOxWq1ejqLwsJCfv75ZwIDAz0pqQBycnLYtm0b4eHh9fbnQbe3j4yMZJBpLy3M66goNbMrrxwlzoKGvnV2ovye6+T2X4rwN+sus89fGIC/WWZ7gQsfX5nwJAtRB3Rhqfu5u6sfKWsrPAIPkJdkoSjWTFKNxrSRIUT76qOkUYYwH5kQq8y47v408TcQaVPoFWvmt0wHv2U6uLCJ7kyzIkufPltD4glo0o6SA2twHENrrphsaKqr3lpb354bB0gU7F5KdXEGfQ9uYl1xJpKs4KwswhIYg9tewY7vn8RRmsPl1gAye45BU90U7l5KUHJ3FKMF1VlD/s4FhDS7EJMtCJMtiMCEzqjO6tp8gBKqs6HxEUBNSY7uICRJ573W/5wRetBDZ1VXn7gRSR1Hr/HrONo452jWr1/f4FxkZCSdOnXCaDSSo4XTuWYBitvJT/tqUAVUugQ/7DmxeoX7yLw/NBg/k8wba8tJDDCQXubmYKmb6TuqKazRiPSReM8icZldH3GjDtg9wl9HbqKFPd39EcDSbAcXJVrqGVGNaevLre39KLGr1Lj10Ny5lfqUY2W2gxtmFyKAohoNxWSj9RWvIikGYjqNYsMnNzWYHoc0703ygPvQVBc7vh2H5naCLBPfayyyQZ8hhab0ZuzKA9xRnMkg4L6AaEy++lLIaPXHUZrLR8DYmjKmbPieKZ2uoOLwbkoy1pLQ53acVSUU7l2J0FQi2gwDIajMS2NX1vOEtxxEVf4+qgvTG23XtJ/+Q1BiV6qLMo7p8nu+cE4J/T9FnRmupmlU1jixuwXr8xxsyddj150M/eLN2Go19A939QcBigxtw000CzHy6dYqKp2C9c3MdMt3E32goYNJXpKFtG5+yJKumNuQ66B/nAVVER7dgNWg/wyyKPxvTTlZ5Sp7io8oEwtrjgi1YrQgyQqyYgSTVLvtVl/oI9sM1a8jkdD7dvxjWlPnPVense+TsZ47tvwEwFhAKs3hgzorRNXJ57YgbqjSl1i3rf+WPSEJHDTbKN63kuL9q4lqP5KWl/6Hvb9OoCBtMa7qUtz2SlJHPENgfEcK966gpiQHR3lDodbcDor2Lj+pv8W5ilfoTwNFRUUsXryYsLAwdu3axUdVJ58eSpagS5SJ0a19MSq6IBjkI2a5EhBpU3j+wgAMsoRBhr2JNCr0v6ZY+XVTFcnBBqJtMk/1DEAV8OqqMsb3DPDcJ4TeCQSYJeYXHbtzclYVcXDlp4Sl9iN300wMFl9cNeUg9FlASLOelGZuxhbeFKG68ItuiXRU5GFJktBUN/P9wugUlsTVBXqizJuFRuhv7/Pf/vfw+G8fMKLqiF3AT6n9WZ7YhYq1XwLgG9HMY7jjE5rgCa9tDois7WB0x57gxK7sXzyJoj3LTvpvcL7gFfrTxMGDBzl48K87gjzTM4AeMSZMyhGlnd2tcbhKI79KpdKlEWRWaBthBPROoPmaY4S4nlvCt0BCoIHJFwVhNsi4VI0hydYGhjyKLDGsqQ/fpjW+Fq7j8LZfOLztF5IHPUjTQQ/hKD9M8YHVRLYb7tHK28vzKUlfQ2iz3ph8Q+o976opI3/Pct4a9V98lkxmRK0n3oi0xZ7f6/gptT+vDLgXobox+YVSU5JN5qrPMftH4raXk79rkedeZ0UhqqsGSdHbRTaYCE7q7hX643DOaO/PBmxG6Zj+8e0jTJgNskdrL4QeLeqX/dWMW1LKf1aU893uag5XqlTYVZr/Xt5gHV/HzcBnMrw7KLDerKFdhAlV08tXNYEmdHPeH9JOTN9g9AkktFlvZMWAyTeUqHYjUQxmZMWIJBvwCYohss0wMld+hqhN4QWguV0ITSWy3XCEbODl/vfwU2r/Rt8xM7kHL/e/ByHJtYKs/xetLkxn21cPohjMdLr5E6I7XQGA0NxkLPsIzV27xFLd5G0+trWlF+9If8aRJegRYybcR+aODn5IEjy9tNQTlrqOjzZXcE8nP0odGsEWBZMCVqPMre38cKmCm9v6YTVKIAQt1tTX0mcnWnjcIjHBLoipPT9ag5z1lezt4e/ZYJMl+D3Hwdo8JzajxIJ0O1UuQY37xLbgWl72EtTOEIQQINyobt2eQHXZUWoVdhWH0qg6vAdbeDMq8/diDYjC4h+uC2btdtujMW0ajPAAd8hGEiXZk0sv5eLx7PzxKSoP7cEvuiVm/wgkSSa642WePfmivcvR3E6MVn8K0pYcCbkFhKT0JSS5B3mbZ1GRu/OEvvNcxyv0Z5g7OvgyoqkexMJQayM7ONHiEfprWvowMMGCQYZdhS5eXFVGnzgLt7f3RZIEbg3u6+zvGTWDsxwewQbITbLwaoDCnJ3V9OgdwFC3ILl2my0m3c6OYAP7Q4008TNQ4dSYsrmSg+VHDAOCLDJN/JV6SrxjoZhtR/z9EeRs+A5XdRmlGesQQEjTC6g4tBtnZQFZa74kvufNVOTuRFZMGCx+SLLMwVWf4iw7zGvpjcdRfC1rEy/vX01gsp5IBFmh1eWvgASOqmKE0FBdDkrSa6MvSTIGs42SRsoz+4WT3O9uZIOJgCbtWPfBNZ5rkmIkecD9WINjSV/yHpWHz5+IuF6hP8MkBxmwGnWllqbpxjY/79fXz3H+Cje18cVs0EfPGD8YleLDlC1V/J7joGu0mfV5TqaPDKmNDAuFsWbSW/uQuL2a3CQLLTLtlNfK630LSpFA3/YCngOe33DsQB4xfgofDg1GkmBNjpOscjfLshz1TIKPZvfPL9F82JOYrIEoJisxXa5i29ePeLLQHN52JHBKs4sewWgNwBIYxaEtP+MTEockyQTHd+KRWc9yrPg7N9orEIve4Y2ACKyhibruAV0HYbaFIDSVbV89SE1JNpJipM1Vr2MNiqFw99IG0XmFpiIQCKHVC8wButIvKLELitFCYr972PbVg/Wutx/RHv8wf9Z8vQZH1bll6nta1vQXXXQRaWlp7N27l8cff/x0FHnOMHlDJaqmT4EdquD/lpV4HGsqnaI2/nxtGC5NkFmhj8J+Jpn1eU7yKlWeWlrKgVI3a3IduFQ42M6Pbb0D2N3Nj2d6B9Z7nwBuBS4Bnv+TuqWGGJEAq0Gmd5yZ61vbeGdQEKZjuM9XHd7LpqljcdWUebbs/ihMdTirSvQ49Eg4q4r0gJaayotbf64n8D+l9qPX3d/XW+OPcdXw4pY5SELz6AbqzJIlWaamRI876BMSh9k/HElWCE3p20gditg95yXyNs1ixw/j612rC8mluuyegB11tBrUiqGPDOXCsRcyYvyIYzfgWcopj/SyLPPuu+8yaNAgsrOzWbduHbNnz/5Hkl2cKL169SI1NZWMjAwWLlx4Rt+1v9TN1nwXKSF6U6eXqRhru9piu8b3aVVc1cKGLMHeYjfzDti5rqUPo9vYAInHFpewOsfJ6pxi4vwV3h+iK+MKY81IkkSnSBPjL/D3hMgCsBokfjqBdfrqHAd5lT7E+kvIEhhkCUWm1imn8eeNtmBc1aUAZP4+rZ51ntEWhNEaSHVhOpWH9mINikWoLor3rUQIjUsQXJZ+xJJxmjWQ9/rfC7LCy/3vAQQj0pYAulZ/WWJX5tqCMFgDMduCEEDG8o88z1cXZeGsLMTsH0Hx/sZjG5Rnb6U8e2uD85WH0kib/TzmgEiK9q6od83so7etLMuYfc0Nnj3bOWWh79q1K/v27SM9XbeE+uqrr7jkkkv+tUJvNBpp0aIFkiQRHx+Pr6/vn8ayO1U+31bJo938SStyEWlT+HyEHgL88SUl5FZqqELfSDtcpY/y3WLMWAwyLk3QOszI9gJ9NM0sV7lmViG3t/dlaLJV91aTJAYlWnn193I0oesQrkz1Ia9S94e3GCTyqxt3LqlyCW75pZh+8WbGXxCAqgmmbq3EZpToGGliY6233dFEd7gEn5A4QCIgti2Ftco4a3Acra+cgKQYUR1VSJJc6z1nxj+2Lfnbf+XLyFS6dBrFbRu+Y3bzPjwX05rwWocbIck83+MGJElm+K5FfNTlapYldGL/lw8cM221UJ1smXE/RmtAvei4J0pF3i4q8hr+P908ZzMh8SH4R/iz4O0Ff1pOs57NCIgMYPOczbgdf64b+ac5ZaGPiYmp59GWnZ1Nt27dTrXYM4bL5aKoqIiAgABqamr+ktnunyFL0C/egt0tWJnt4JFu/sT4Gwi2ygRYZCy1YW0uTrby39Xl+BglgsySJw7dp1sr+U/vQMocGgtrlXZGGSb0D6JVqBHQt/QkSd9+y61U0Wplc2QzK4osEe2nMP2SEMyKzIL0Gv63pn5U3VEpVgYkWJmxs4rBiVaPIVCIRWbq8BBkCXIrdAeho6kuyqydtkN1YYbnvF9kCpKkIMsKstUft0PP7yfJBgITuiAbLST0vpWPkNngdjItcxNBgVFH4goIQebqr3gs+QKWJnRheVJX3RZh6OPsnvMSPqGJxHS5iuIDqzm05Sc91LUkExjXAWdV8V8S+mOhqRoL3qkv7MFNgrn48YspP1zOzxN+9gh30x5NGfXSKH0Q6RDP909/j8XfQocRHShIL2Dfqn2nrV6ni79NkXcmk12cLDNnziQkJMQT//50c1MbG6Na6Hnj315XwaEqldDaSLcrshy0CTOBBAsz7GgCvvvDPvmmwy5GfKvH2UutXRa0DDXSIsRYu+9+xLhGFdQLab2/xK0H2wR8DDKKLNEv3lJP6CNtMrd28MOsSDzTM4BnlpXSMdKESxNsL3QxvJkPFoNEQuARmwKjLRjZYKJg1yKclYVIsoHSgxtQzL4YLX4UH1hDTJcrMfmGIVQX9tJcfELi9bx3QtPj2hnMCKHxs9UPxepPbJergVq7AVc1MZ0vx2gNZLnR7ImwYw2KJabr1YQ2742sGLGFJRHb5Wr2L3wb/5hWhKX2R1KM1JRks/3bx0467v3gBwfTZnAbVn+1mpWfrzzmfcMfH05CpwTcTjc5O3JY/4Pug+EX6qeH+zIbCIjQrR2v/u/VxLaJRVM1pt07jext2ccs95/glIU+JyeHJk2aeP4dGxtbL2R0HSeT7OJMo2naCQev/CvE+BswyRKagGhfhf9bVsbABAsZZW62FbhYUptbrtx5/HX3fZ19GZqku7YK9Cg4mqYLukHWn5WBMJ8jmrcvd1bxf70CAAm3JrAaYPbe+tZ21W6BJgROVQ/gsSbXyfBv8lFrDYK6RdvpHmPm8236sscvqgWplzyHBGQs/5j8HfMBsARE0ebq15FkA7kbf2TTZ7fjG5mC2S+ckvR1RHe8DIPFj6w1MwhK6kZAbFtUVw1Fe5bTdPBDwJHOa9tXD9N+9GQ9uIbbib2qGLOvrq2vKcpEczk9qa1kxUBk22FIiskTa8/iH0FAbLtGt+6ORUBUAF2u6ILBZKD/nf1Z8/WaY07PywvKcbt0t97KoiPLwa2/bqVJuyYExQTx84SfAbAF2TAYDThdTnwCfU64Pn8Xpyz069ato1mzZiQkJJCTk8M111zDdddddzrqdtby4aYKQq0yNS7B92nV1LgFP+07Inh/Juyg2+H3j7dgNco4VA0J3TxXE8ITJkuqVbjVrbt9TRIPdfXHIEtsy3fy+JJSDLLUYF1e7hDcN6+EjpEmlmXpHZDrqAnPhNX1zXsDmrRDlo1Iskxw8gUeofeLbgWSjGwwEdKsFwW7l5By8XgUo5X8nQupOJRG0Z5lKGYbib1vq3XaMeEblarnp6sV+Lo99/SlH+hT+P1rOLh8CgFxHZBkhdKM9US2G47BYvP44x/esQCzbyi2sCQAfVsOiOl8FUV7l3sCaOoNBdEtoinNK6W65MisqLqkGme1E9WtUlNag9t57PX4nFfnkLMjh4qCCtKWpnnKtfhZmP3S7Hp6z++f+Z7BDwwmb3cee1bsabzAf5DTEhhz6NChvPXWWyiKwieffMLLL7983Pv/icCY/wasBom3BwUR52/grXXl/HoMM9o2YUYm9A/CIOnr9owyN6UOjdRgIzVuQchRMfIzSt3YVUFhtcYvB2p4pmcAPkaZapfGxd+cntmMJSCKVle8imy0sPvnlzzacKM1gNZXvY7JFsj+xe9hDYwmutMVet00DU11krHsQ0ozN9Fh9IfIBmPtVL5Gj5gjwO2oxGD2AWQq8tLQ3DX4RqRQU5LN7jkvesJhRXW4lCbdb0B1VrHjx6exF2fRfOgTteGxBQVpvxHS9AJkxYDbUcWGj2/01P+y5y4jtW8qmqox+brJlB8+0qn5hvgS2yaWjI0Z2MtPYmkgwc3v30xM6xiytmTx2d2fnZa2Pl2c8cCYc+fOPaWMNucLXaJMxNTmlhvbzveYQh9i1dezBoNMZrmLKZsr2XjIiSLBuO7+9I6zoGqCadsr6RBhokOECWcQ7Cx0UVyjYVakBlP6U8FelseGT8Y0OO+qKWPTZ7d61u1NBz8C1Aa/lHSrN7N/FIiNpC/9gKR+dyPJMhIS5VlbCUzojMkQXNtJqHpEm9rMvorJh443fYwky6TNeYm8TTPJ37kQzWX3mNke2jqHwPgOaJpK0b4VhDbriSQrKEaLp04Ayd2SMVlNOKodRKVE1RP6yqJK0n5LO+a3+wT5kNg5kczNmVQUHNGL+Ib4EtMqBsWg0KRdE3wCfaguPf1K4TOB1yLvb2RPsUtPReXWWJd7bCuvGD8FRZYoqVEJ99Hz3W3Ld5FTqdKziQVVwM/7api+vZpwH4WWofqWX2a5yo0/FWE1SFSfoD193fsuiDGzNtdRz0T3hKkVrqqC/QQldgVJQlYMSJJEdMdLie54Gfk75nFwxSc06X495bk78anNgKs/ruJ2VuvCioRQtdqlgAFJVojpNIq03B2ojvpbq+U52/U89rV1yFj+ESHNLiR34w/1gnws/mAxQx4eQmFGIQfWHjjhz5JkiTs+vwOzrxnVqfLmyDc9a/7Kokqyt2cT2yaWzM2ZZ43Ag1fo/1YOVWmMnl1E3zgzfeIsXJ5i5Yc/5JZTJBjbzhdZkpBMMqoAH6NM8xAj+dWqZz1mrxXqd9ZXsKPARbFd89jz/1Hg24UbubaljeVZdn7eX392YZBh8pBgLIrETW1tXPFDoafskyVv82zcNeX4hCYR3nIAismqj/iyTGhqP9Z/eB2Hts4BoM01b2GyBQOwf/EkSvavJqLNUJzVJQQn9cA3vCkGqx+ay3185dxRwp2/Y75H33A0G2duZOPMk4/gazAb8A32RTbIuA1urAFWKvIrUEwKtiAbn971qT7Cl5w9Ag9eof/bKbFr3NHBD7NBIjXEyLpcJ1kVR0ZXVUB2ub7F51IhrchF8xADE9dXsDZXz23XN97CqFQf/M0Sq3OcNA8x4lY1ejcx8+m2Kopq6m9DvtI3EKtRpn2Eia35rnrvM8gSFkXPeANgUcB+kvYlBmsALS99AaMtiH3z/kdB2hIUkxVrcCxm31AMPgEU7NAtH23hzWg+dBwmW0itXkKjaO9KhOokd+MP+EamENCkLYrRgttZw/ZvH8Necua2vBSjQnK3ZAoyCijJrr/X76pxsXDyQrpd1Y0tv2yhIr8Ci7+Fe76+B6ufleLsYmSDzIJ3FrB72e4zVsfTjVfo/wEqXRqKLNdO9RuOqnf9WkzbCCO7i9yU2OsL8IIMO/0TLBgV3RJvQIIVc22WG1G7RfjUsrJ6o3WNW2A26Hb+DrX+++xuwYTV5Vye4sPP+6opdZz8KB/arBeWgEhkg4km3W8gIG4nIc17ARL7Fr5FedZWz9Q8vudNmP3CdAck1UlNSU69QJrOSj1Mueqy4yjLqyfw4a0GE99rLFX5+9nz6wSS+t6FweLH/kUTGw2RdSJc/d+riesQhyRJvH/9+5Tk1Bf836f/zu/Tj5j4dhjRAVuQ7m0YmhCKJElc8vQlTBg8wXNPSHwI8R3i2b1sN1XFJx9F6UzjFfp/gHvnFdM/wcLmw656sejqqHYLVuc0nr1lT7Hbo6xbmW2nR4wetVYCNKBdhInZo8J4YWUZNS5B02ADzywtpXuMmY2HnY2a5C7MsLMw4+SMWo6m8vCeWpdXO6rLTlS7EZ5wWc0GPUzm79OozNtF5eE9VObvwxaeDEhk/v55g+m4s7KQ7d+Owze8KcV/mNY36TEaxWjBFpZEXI/RBCZ0QpIVEi4cy+6fj79j1HlUZ5r3as7yqcvJ2pKFpEj0vbUvCZ0TMJqNOKudhCaENhB60GcDJquJmvIaDKb6IuO0OynKOpJPwepv5bZPb0OWZXrf3Ju3Lnnr5Brzb8Ar9P8Ah6o0Zuw4uXVghE3m/3oFoGrwyMIS7Kqg3CkYmuSkU6SJ/GqVtuEmWoQaMcoS17W0kRCoZ8TZX+rmrl+L//wlf5HKw3vZ+uWDGK3+JPS53SPwkqTvOcZ1vwEhNHbPeZHMlZ9Snr0VV00pVfn7Gy2vpjiTmmI9vfjRWvjynO0ENmmPELrtgCQpCE1DUsz17vsj4cnhDL5vMEaLkdjWsUwYOIG2Q9rS/bruKAYFt9NN+oZ09q9pWB/fUF/unH4nFl8Liz9YzKE9h9BUDVmRqSioYPEHi9m15Ij9vjXAiizLGC1GfEN9kWQJoZ3yrvhpxSv0/zAScG9nX9qGm5i8Ud+aa4wbW9tICdbjwF3dysbE9fr20dwDdubWbv01DXLwzqAgFBnWH3IQH6BgNOgZaM80jvJDOMoPkbP2a5oNeQzVWY1i8dUdbwxGVLcDa1As5TnbPEEt/4wmPUYT3fFyKg/vZecP49n762v4RaYQ1eESfZdAd7QnILY1nW+dRvpv7+Ou3Mrlz12Oy+Hi+2e+p6asBmeN3qaaquGs1n93O92ezJ815TXMfnE2mrthp5HUJQmjxYhiVOg1phcGkwHFoOByuPj41o+xV9g9ZQIUZxWzcvpKWg1oxfJPl//rBB68Qv+P0z7CyNAkK1ajzFMX+HPFD4WN3pdRruJU9f3vg2WNa9r2lbi54odCjLJu9ScEtAoz8uGm0+dFKClGWl72Er4RTcle8xU567+pd70kYx1r37+K0JS+JPa9E9loQVNdVOTupHD3bwCEtxxEQp/bqSnOYucPT6G6GrcpiGo/EkmS8Alpgi08mcpDu6nI24VfdEsCmrTXY/OhzyYMZhuJfW4nLu5HYtvGIjRBj+t6sHjyYkpzS/nykS+J7xDP5p83A7BjwQ46X96ZuPZx+AT60PuW3vz6+q8AxLWPI6RJCNsXbCd9fTpupxujxYjZZvZsM8qKzOhJowlpEkLOzhw+vuVjj5nb0ilLWTplaWOf9K/AK/T/MIXVepAIu1twuOrYzj/f7qomp1xFFYI1ucfO1lrjFtSJ0Cdb/7oSqWesGX+TxIIMO0cPgH6RKfgEN9Hj1HW6vIHQe+pRnEVdxpniA6vZv/Btz7XYrtciK0YsAVGEpvbD7aikNGMDqrN+fUsPbiSgSXtUZw2K0UpAXAfKMjeRu+F7aooykRQDYS0GENCkPZrqoqowgyKKPHvpxVlHljTp69NJX18/Eca+3/cR3SIawGOwE98xnuvfvB6BIKVPCl89+hVT75jK7Z/ejtFiRHWryIqMrMiENNF3IGJaxuAf5k95/jGiE//L8Ar9P0xWhcqDC4ppFmzkt8zjK9MKa1Re7BNIjUvw2OKSY/rJnyr94s081t0fCYlmwUbeWX/EEq266KCevUaSKD246ZhlVBXsZ/u3j2H2j2gwnS/N3EhIs14IBHEX6OayjvLDbP3ygXr37fnlVazBsfiEJNB82BMA5Gz4ntz133py4RXv/x2zfyQ+IfGUZm4iTbgozCjE5XCxZ3lDu/fw5HDaDmlLSV4JKb1TyNqaxbZ529g6dyuRzSO54a0bUEx6+q/gWN2OoDC9kHlvz6Nl/5ZENY/C4m/xmEHrZsUqFYV6G8kGmdETR9OkbROWfbKMZR//+0Jxe4X+X8DuYje7TyAw5Zg2voT5KKiaYHgzK59saXwk7xhhIi5AYf4B+0lZ5tUR7qOgSHpCjUhbfX2A217B5ml3YvYPp7oo87jl1FPIHcWBxe9yeNtcFJONlOHjUYwWLAFR9e4x+gTitldQU5xFSNNeSIoRSZLxDW/aoLw6fUIdOxbuaLxCEtz8wc2eaDiSJOGsdrJp9ibMvmZSeqegGBWPQJcXHBm5N/ywgcxNmdz26W310oOBrt3vfl130telYzAaiE6NRjEoXHjThfWEPqV3Cj4BPmyZu6VR/cHfhVfozyI2H3bQMVJ3Jd1Z0HhsulahRl7qG4iEHnr78SWlJ/2e2XtrSA0xEmiRmdRIYE3VVUN10V9P7AGCqgJdU16wazGBCZ3IWj3DczWxz52EtRyAq7qErV8+yOHtcwmIa49i8iFr9XTPfWabmdS+qeTtziN/X369N0S1iKLrlV09ATHsFXYkWfKM4pqm4Xa6kQ0ylzx7CZKQmPfWPOpib0uSRFz7OFoObInFZmH7gu0UZRVRnF1MWFJYrS7hyL0D7xmI2+Fm4+yNuOwuXfey6UgbtRzQkkueuQRJkohKjeKX1345hfY7NbxCfxbxbVoNOwrd2N2CA6WNzwzqnHUsRplw2zEiXP4JNW7B8yvKTqWqJ0zGsg/hDzPg0NQ+yIoRg9kPW1gy5Tnb2PFdw4CroyeOJiwpDIA9y/fQvFdzNszcgOpS6XF9D2RFRnNruB1u5v5vLkIVfPnwl3S7phtpy9IwmU0k9UgipWcKAE3aNfFo9IUQuJ1uLn3mUkAPllmaW4rZZua3D3+j9aDW+AT5YPG16O9RNUxWE0ldkpg4aiLBTYI5tPfI7CMgIgBZkVEMCoHRgZ7z7Ye3J6lrEkIINs7cWK+jOFN4hf4sY2fh8RNirsh2sCDdTnKQod5a/I8YZT20lkuDOftq+DftLOXvXEREmyG4asqozD92PPqg2CBMVhPOGict+rdAMSh0u7obpXmlKAbFk0vv6C21oxV6kiJhtBhJ6pwEAoqyitBUDUXWn1307iIG3zcYk4+JsIQwYlvHYrKa6Ht7X7K3ZrNkyhIqiyq59n/XYvW34na6WfL+Epx2J5Ik8fBPD2PyMfHlI1+yYeYGYlrHYAuyMfd13SO1Wc9mDH10KEaLEUmSaNG3Ba9d9BqRKZGExoeyfcF2XDUnlwD1RPAK/TmGJuDNdccW9ihfhaRAA23CjFzaXI/qYlYkvj3B1FZ/BweXf0T22q9QndXHNLgBmPn8TAY/MJiDGw/S9IKmWPwsVBZWsm/NPrpc0QVHpYO136xl+WeNZ6u9eNzFtBncBgTMeGQGjkoHvUb3QlM1MjZmsHHWRqJTo4luEc2WX7Yw6L5BCE0gyzJN2jYhumV0vSSdzmonZYfLuPebewmMDtRDdksSPW/syRcPfMF347+r936j2Vi/QhJEpUZx/dvXIyHRsn9Lvnjwi1NrzEY4JaGfMGECI0aMwOl0sn//fm6++WbKyv6eaaGXkyfCJvPRsGBkdBt8Rdbt9f2OkV/vn+SPbrSNsXflXvau1GcCZpuZqNQoDGYDV758JUIT2CvstBnSBk3VsFfYydiUcWTtL0Grga0w+ZjQVI2QJiFsmLmB757+Dqu/laR520AV/PSynlr7lo9v8UzjJVWQsmIPe/qk4qhxIKEr/iz+Fsa8NwbFpCDXWiVqqsb+3xu3PNy5ZCehiaHEd4jXO6hv12ILsoEGRh8jQTFBp6cx/8ApmWotWLCA1q1b065dO/bs2cOTTz55uurl5QwQ42dABixGGX+zTKldY2FGDV/t/PeM8n8VR5WDjA0ZBEYFIsl6zPrAqECCY4Ppe3tfBt43kFs+uoWuV3clKjWKa9+4FrOtVosvS+xbvY/r37qeK1++khfNBn5wa3yER1dHUVYRzhonwq0y4qXZXDfua/p8sISDGw8y5aYpqE7VY36rGI7SpUhgspkar7SAbfO2UVVcRc7OHDI2ZLB72W52LNpB3u48Zv5n5hlpq1Ma6RcsOBImePXq1YwaNeqUK+TlzLHlsJM9JW7ahOlrSKMiMWH1sZcCZxshcSEMum8QsixTWVKJ0WzEYNbNZo1mI5qmMfCegSDwaPGFEBRnFVNZVElyt2RSl+1m+A+6XUFdJp5bgZ0Ld+KqcnDztFV0OqTPZvt9soy3gEJgzoQ5tLmoDZHNIrEF2TzTftWpUlZ7v8FsoNXAVhRnFZO1VQ8bf+XLVxLZLJKU3ink789n78q9zH5x9hltp9NmlD127FhvyKx/OaqARxeVsC7PSblD470N547Ag+7SKoRAMSoIVfD+9e9DbbhwTdNQXSpGs1Ef2X/fp0dFTi/g/dHvozpVdi7aye5ezdk0vL2nzLHA7KQwrn35Sp7fkcsVh44sXzde3B7T85cDsGXOFqbfN52V01firHGSsz2Hn1/9mR+e/YEtP28B4IoXrmDYY8MYPXE0Ma1jAHA73B77/OMF5jyd/OlIv2DBAiIjIxucf+qpp5g9W++Rxo8fj9vt5osvjq10+DfFvT+bsRokLmtupciuMe8YMfaOh0vjL+3dnw3sX72fjPUZRKVEseBdfRZ6YN0BEjom4Ha4PUY5sqIHvvhu/Hf6nnot896ah9Fi5IdHh6GqGp3n6gFAhx8oYHjvl+q9a8Owtsx5eiQtJXi4cwJfPfYVQTFBDLxnoG7N1ySY9A3pBEUHoRgVVJdKSJMQz25DUHQQOdtz+OaJb+h+XXfy9+WTvq6+mfCZ4pSj4Y4ZM4Y77riDAQMGUFNzYsEYz9douKeDp3r607uJBU0IXltdweKDf90P/lwlPDmcWz7SFW+L3ltE5pZMirOLueuLu7AGWhGqYO13a7H6W5n/znycVU5GvTSKFv30dGdul5tNMzcw6o15jWbXXT+0LV/c1he/SH3vXQgBQo+N7x+upxXXVN0+QCDI3p7N9PumE9s6loufuJiCAwXM/M/MM2qVd8ai4V500UWMGzeOPn36nLDAezk1/IwyigSakLD9C7Xu/waSuiQhG2QMJgNthujZawA+uuUjUvukEpUaRc/RPQGIaR3DB9d/QIv+LTwad8WgYA6wMj4+hLEHixqUP+vRYZTuPYRsNmD1t+qmu7KEf7i/Zy1feLCQgMgAzD5mj1NP9vZsPrjhg7+pFY7NKa3pJ02ahJ+fHwsWLGDTpk1Mnjz5dNXLyzF4fW05K7Ic/Lyvml/3ezvaxti1dBeOKgeqS2XltCOpqioKKihIL6DVwFaec34hfgBsnbsVTdU8Qtt2QGt+bhXTaPkXPjid6JRI/EL9KM4q5vC+w/XSo23+eTP7V++nJKeE6rJq5r01D0mWkJR/Ryd9WpJdnCze6b2XM46Exwz3aO797l5CmugKP9Wt8tWjX7F/tb6P7hPowyNzH0FBYsRLs+k4Z/Mxi98wrC0/PDqMQ/vz+W3Kb0SlRtF7bG8ASvNKCYkLQXWppC1Nw+1w02pQK2RZZvoD08ncfHxHpdPBGU924cXLvw5Bo2vm6tJqgmP1BBtVJVUega+7tuS9RbyRX07Heds95zcNb8/sJ4Yz8tU5dKjtCDr9spWashp+fXEUV792NV898hXT75+O0AQD7xuIJOsmvq0Htwahd0AAXa7sQv7+fG5870aCY4KZ+Z+Zx022EZUaRZ9b+5CxIQNN0+hyRRfW/7CeNV+deM6+P+IVei/nFb+89gtjp4xFkiQK0xtGKQqetoqjx8eNF7dj9vgRuFWNWeNHIMAzA+i1ci9Z6w6wrWuSJz89QFVxlccEF/SEqZqqobpVdszfQUrvFI8m/5JnLiGhUwILJy1sNHnmNa9dg3+4P4ldElEMCopBYdC9g9g6V+90/gpeofdyXnFo9yHy9+UT0TSCuHZxhCaEUphRiNFqpMPwDuw+XMbk3BLu2pfPpuHt+empkbhdKgKhC/7jw5GADnM2s+imXqxtEUXmst1sm78NgIhmETTr2exIKnGXyrZ521j26TJCm4Ritpk5tEf3vlPdKiYfE50u6URlUSUrPl3RoL7OGqdu+otu21+3/VcX9++v4BV6L+cd/uH+GMwGHNUOAiIDKMwo5JJnLqF5r+YITXDQrTFjQzp7LkxBFRplh8v0JYEsUZRVxIdXd6VXr2akXZjC/p+3eOzzEzsncu0b12IwGXDZXZQXlPPxLR9TU1ZDbOtYrnr1KoQQ7F62m3evepfBDw4mpVcKQohjCvH0+6fT8dKOZG/L5vC+wyR3S+bA2gOozr+QfqwWr9B7OScZeO9AelzXgwNrD7Duu3V0GdWFzb9s5sDaAxxYe4CkbknsX7Pfk9supEkIBqMB1a1itBjZ07cFmqbxSp9XuGvGXXooayHYNm8ba79eS/FTI4g8XE6HkR0ITw5n6h1T6TCyg8dz7sC6A3z/9Pce45+QOF15aLKaCE8Opzy/nJnPz6T7td1x1jhZ9926Rr+j7FAZS95f4vn3ptnHDlF2oniF3su5hwQX3HABkiQR3yGehM4JGIwGkrsn63HtVF1zv3/1foQm9Oi3R5nw1k3N13+/HtWpx78LigkCAaU5pRgsBnJ25pDaJxVJkghPDieyWSRbft5Ci74tEELw+xe/17P227FoBy36tSAkPoSf//sz8R3iMVqMjU7pzzReofdyzmD1tzJs3DBAN4SJaBqBvdKO2cfs8XyTZRkh6S6vdRFsIppG6NcUGZfDhahN/VWUVYQt2KaH2qrtCEaMH4Gmamia5jnndropO1xG7q5c/jfsf/p0var+dN3tcPPVY18BehSekU+NBGDZ1GWs/GwlfydeofdyztDn1j606NsCgPU/rmfu/+ZSlFlEUEwQ3a7qRuuLWiNJEgUHCghLCqPPLX0wWU2smr6K1oNa4x/hz5xX5+Af4c9FD17EgLsG0POGnmz5ZQtNezRFMSjIiqyv7fcXERIX4om+c+cXd/Lu1e9iL/9zs+iIphEYjAYkWSI6NfpMN0sDvELv5ZyhqqQKTdX35quKq8hLywPg8N7DzH5pNvPenofRbKT9iPb0T+mPJEl0uqwTiycvZuodUz3lBEYHIiuy7pprMrDqi1X0HN3TM7IDfPfMd0iS5ImHr6ka4Unh2Cvt3PD2DQhNMO3+aRSm6zsDLrvLYwa39pu1JHZOxGQ1sfj9xX9vI+EVei/nECs+X0F1qR4QZOPshvnoHZUOHJUOj6EMAAIueeYSln68lPL8cjpd2glN1Tyj/4ppK3A73bjsLkw+JiRJQtVUVJdKaU4pK6evpM/YPhRmFJKzM4cRT47AN8QXBHS7qhtup5uuV3al6GARH970IW6Hm8qiSj0jzj+EV+i9nDMIVbDlly2eJBVH4x/hT2VRJZpbD1/V55Y+IOthttoOa0tk80j2rNxDj+t6gIAlHy5h0pWTALjwpguRDbJnlJdlmaGPDOXLh7/UU1h9tNQziu9fs5+W/VsCeo68nqN7Iisy/pH+RLeI/ltMcP8Mr9D/f3v3GtvUecYB/H9sH+daQkziuIppYmgEKago1A2IEVFuQUETEkRoZGpJx2VVx7QPrMNptg+T0ARUDWhDFVWygqp1aVGYkFMVISdcpEzJICw4F8WOk9aQixPbSZBICsSO/e7Dac1oQuLEl2Nynp/0SvGxfc5zPjw5r8953+clCwYfz+PIxSNIXJyI3tZefPE7oUZ+8fFirHxrJcbcYzj3y3PIXJUpPJqL44VJMEwYd6/J0QSmyiamJD6tlSWDUAfPx8A4YRZedl720wP/3+yV9qvtcHY7wck4HDp/KLC/ie8nnimJLSZKehKz+HgeW3+zFXKlHNc+uYYnYzPfJFMtVSEhJUEoa/3mssD2H8tjJ6mSoF6uxn3zfTA/g/eJFz3/6cHy/OVIViUj52c5YIyhv7UfXQ1dMNQZIOfl+PKDL9FU3QRFgiJQHfd65fS/xTNXZWLFphWwXLdg0jMZWAq7cn/llDv6YqGkJzFrwzsb8MbuN4Qrrh/45qNvZvy8+zs3HBYHsvKycLvmNgCAT+DRea0Tq7atwoOBBxjqHoLP48PZ4rNISEmA+zs3Prz5YaD7LpPJ4PP68NrW1xCXLKxSqy/Wo6asZtZ4lUlK7P9kP/h4Hvl783HhvQvI3ZSL7sZufD86/8VEw42SnsSsySdC/TiO4+CdmH3RB7/Pj8/f/1xYvoqXQ79HH+gptBhbhH8aP3TFx0fGMT4ilNn+6g9fYcv7W6B5VQNwwO2a2/A88kC/Ww9wQOe1zqDilct/eKTHcZAr5BjtHcXNqpvzPf2Iofn0JGbJ5DKs27cOCqUCTdVN085Ce56SihLo3tRBoVSA4ziMj46joqhixu/IeXlggI5Kq4LP6wNjTJg1J+OCOn7u5lzk7cpD86XmQE3+6aiWqrD3xF5MTkziouEixodnr/M/FxGfT3/06FFUVFQgLS0NIyNTywsRMh9+nx9N/2ya13fTl6WDj+PB/CwwLHY2Pq/wKK7kdAl0eh3G3GMwHjfiyMUjkMlkqP599azFKy03LLDcsMx6rM2/3oyM5Rlgfob1JetRf7Y+6HMLVcglsLVaLQoLC3H/fuQX3iMkWF//5WuM9I6g80YnTmw5gcYvGoP7IgfkbMgBH8cjOS0Z+j16KBOUUMQpoN+jD1t8g7ZBeCe8mPROwtntDNt+gxHylf7MmTM4duwYjEZjOOIhJCzsd+yB5+xzwoAWYwvW7loLV48LLcYWYWKNjEPrldawxdf4j0a4vnVhcmIS9/57L2z7DUZISb9r1y4MDAygra0tXPEQEhbqV9XQrtbCcsMypwozi9SLkK5LR39HP2r+WIMx1xhO//w0OBk370o1z9PT2BPW/QUrpMUuysvLUVhYGNSBaLELEi2L1Itw8O8HwXEc1v1iHc6VBF+lueBXBdCu1gp/v1uAKx9dmXV8wDM4YOcHO5GVlwXTX0349tb0i1eKadak3759+7TbV69eDZ1Oh9ZWocuj1WrR0tKC/Px8OJ1Tf6NUVVWhqqoKgHBnkZBISVIlARAG96RoUub03eF7w4Hlpdx295yPnb02G2t2roEyUYndf96Nj4s+nvM+Im3e3fuOjg5kZGQEXtvtduj1erp7T0Q3aB1E87+akbMhB9fPzW0W262Lt/DA8QBggO3ftmfeS0hJwNt/exsvLXkJl/50adpx9A9dDwEO8D7xCvuJQTQ4hyxI9Wfr5/0YzNZgm3b760WvQ71MDYVSgW2/3Ybzh85P+cxo3yguvHcBL694GZ3XgxvUE21hS3qdTheuXRESkwatg2B+Bs8jz4yz5Ya6hjDUFRuTa6ZDV3pCgtRr7kXVu1VIUiVF/TFbOFHSEzIHbrt7Xjf4YknII/IIIS8WSnpCwiQuOS5mVqadCXXvCQnByrdWovh4MbweL+IS4jDmHsOn73waVFVcsdCVnpAQbDq4CQqlAvFJ8ZDJZYhfFI9X1rwidlgzoqQnJASdNzrhfeKFf9IvLCz5yIO+tj6xw5oRde8JCUHD+QZYrlvw+OFjcByHxw8fw+ed/+KS0UBJT0iIhu9NXec+llH3nhCJoaQnRGIo6QmRGEp6QiSGkp4QiaGkJ0RiRFnswuVySapkdlpaGoaHX6zHOuEgxfOOlXPOysqCWq1+7vuMWmRbc3Oz6DHQedM5/9ioe0+IxFDSEyIxlPRRUFlZKXYIopDieb8I5yzKjTxCiHjoSk+IxFDSR9iOHTtgtVrR3d0Ng8EgdjhRY7fb0dbWhrt37y7YFY0+++wzOJ1OtLe3B7alpqbCZDLBZrPBZDJh8eLF4gU4A9EfISzUJpPJWE9PD9PpdIzneWY2m1lubq7ocUWj2e12tmTJEtHjiGQrKChgeXl5rL29PbDt1KlTzGAwMADMYDCwkydPih7nNE30ABZsW79+Pbt69WrgdVlZGSsrKxM9rmg0KSQ9AJaVlfVM0lutVqbRaBgAptFomNVqFT3Gnzbq3kdQZmYm+vqelk7q7+9HZmamiBFFD2MMJpMJd+7cweHDh8UOJ2oyMjIwNCSsbjM0NPTMeo+xgirnkIjYuHEjHA4H0tPTUVdXB6vVioaGBrHDijrGmNghTEFX+ggaGBjA0qVLA6+1Wi0GBgZEjCh6HA4HAMDtduPy5cvIz88XOaLocDqd0Gg0AACNRgOXyyVyRFNR0kdQc3MzcnJykJ2dDZ7nsW/fPtTW1oodVsQlJiYiOTk58HdhYSE6OjpEjio6amtrUVpaCgAoLS2F0WgUOaLpiX5jYSG3oqIi1tXVxXp6elh5ebno8USj6XQ6ZjabmdlsZh0dHQv2vKurq5nD4WAej4f19fWxAwcOMJVKxerr65nNZmN1dXUsNTVV9Dh/2mhEHiESQ917QiSGkp4QiaGkJ0RiKOkJkRhKekIkhpKeEImhpCdEYijpCZGY/wE6NoCtiIcXVQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(X[:, 0], X[:, 1], s=5, c=z,\n", " cmap=plt.cm.get_cmap('Accent', nc))\n", "plt.scatter(centers[:, 0], centers[:, 1], marker='x', \n", " linewidth=3, s=100, c='red')\n", "plt.axis('square')\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model selection\n", "\n", "We use AMIS for model selection. You can also use likelihood-based methods by interpreting the solution as a mixture of normals but we don't cover those approaches here. There are also other ad-hoc methods - see `sckikt-lean` [docs](http://scikit-learn.org/stable/modules/clustering.html#clustering-evaluation) if you are interested. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Mutual Information Score (MIS)\n", "\n", "The mutual information is defined as\n", "\n", "$$\n", "I(X; Y) = \\sum_{y \\in Y} \\sum_{x \\in X} p(x,y) \\log \\left( \\frac{p(x, y)}{p(x)p(y)} \\right)\n", "$$\n", "\n", "It measures how much knowing $X$ reduces the uncertainty about $Y$ (and vice versa). \n", "\n", "- If $X$ is independent of $Y$, then $I(X; Y) = 0$\n", "- If $X$ is a deterministic function of $Y$, then $I(X; Y) = 1$\n", "\n", "It is equivalent to the Kullback-Leibler divergence\n", "\n", "$$\n", "\\text{KL}(p(x,y) \\mid\\mid p(x)p(y)\n", "$$\n", "\n", "We use AMIS (Adjusted MIS) here, which adjusts for the number of clusters used in the clustering method.\n", "\n", "From the documentation\n", "\n", "```\n", "AMI(U, V) = [MI(U, V) - E(MI(U, V))] / [max(H(U), H(V)) - E(MI(U, V))]\n", "```" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ncols = 4\n", "nrows = 2\n", "plt.figure(figsize=(ncols*3, nrows*3))\n", "for i, nc in enumerate(range(3, 11)):\n", " kmeans = KMeans(nc, n_init=10)\n", " clusters = kmeans.fit_predict(X)\n", " centers = kmeans.cluster_centers_\n", " amis = adjusted_mutual_info_score(y, clusters)\n", " plt.subplot(nrows, ncols, i+1)\n", " plt.scatter(X[:, 0], X[:, 1], s=5, c=y,\n", " cmap=plt.cm.get_cmap('Accent', nc))\n", " plt.scatter(centers[:, 0], centers[:, 1], marker='x', \n", " linewidth=3, s=100, c='red')\n", " plt.text(0.15, 0.9, 'nc = %d AMIS = %.2f' % (nc, amis), \n", " fontsize=16, color='yellow',\n", " transform=plt.gca().transAxes)\n", " plt.xticks([])\n", " plt.yticks([])\n", " plt.axis('square')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparing across samples" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "X1 = X + np.random.normal(0, 1, X.shape)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 4))\n", "for i, xs in enumerate([X, X1]):\n", " plt.subplot(1,2,i+1)\n", " plt.scatter(xs[:, 0], xs[:, 1], s=5, c=y,\n", " cmap=plt.cm.get_cmap('Accent', nc))\n", " plt.xticks([])\n", " plt.yticks([])\n", " plt.axis('square')\n", "plt.tight_layout()\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Option 1: Using reference sample" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "nc = 6\n", "kmeans = KMeans(nc, n_init=10)\n", "kmeans.fit(X)\n", "z1 = kmeans.predict(X)\n", "z2 = kmeans.predict(X1)\n", "zs = [z1, z2]" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 4))\n", "for i, xs in enumerate([X, X1]):\n", " plt.subplot(1,2,i+1)\n", " plt.scatter(xs[:, 0], xs[:, 1], s=5, c=zs[i],\n", " cmap=plt.cm.get_cmap('Accent', nc))\n", " plt.xticks([])\n", " plt.yticks([])\n", " plt.axis('square')\n", "plt.tight_layout()\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Option 2: Pooling" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "Y = np.r_[X, X1]\n", "kmeans = KMeans(nc, n_init=10)\n", "kmeans.fit(Y)\n", "zs = np.split(kmeans.predict(Y), 2)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 4))\n", "for i, xs in enumerate([X, X1]):\n", " plt.subplot(1,2,i+1)\n", " plt.scatter(xs[:, 0], xs[:, 1], s=5, c=zs[i],\n", " cmap=plt.cm.get_cmap('Accent', nc))\n", " plt.xticks([])\n", " plt.yticks([])\n", " plt.axis('square')\n", "plt.tight_layout()\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Option 3: Matching" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "from scipy.optimize import linear_sum_assignment" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "np.random.seed(2018)\n", "kmeans = KMeans(nc, n_init=10)\n", "c1 = kmeans.fit(X).cluster_centers_\n", "z1 = kmeans.predict(X)\n", "c2 = kmeans.fit(X1).cluster_centers_\n", "z2 = kmeans.predict(X1)\n", "zs = [z1, z2]\n", "cs = [c1, c2]" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 4))\n", "for i, xs in enumerate([X, X1]):\n", " plt.subplot(1,2,i+1)\n", " z = zs[i]\n", " c = cs[i]\n", "\n", " plt.scatter(xs[:, 0], xs[:, 1], s=5, c=z,\n", " cmap=plt.cm.get_cmap('Accent', nc))\n", " plt.xticks([])\n", " plt.yticks([])\n", " plt.axis('square')\n", "plt.tight_layout()\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Define cost function\n", "\n", "We use a simple cost as just the distance between centers. More complex dissimilarity measures could be used." ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "cost = cdist(c1, c2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Run the Hungarian (Muunkres) algorithm for bipartitie matching" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "row_ind, col_ind = linear_sum_assignment(cost)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([0, 1, 2, 3, 4, 5]), array([0, 1, 5, 3, 4, 2]))" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "row_ind, col_ind" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Swap cluster indexes to align data sets" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "z1_aligned = col_ind[z1]\n", "zs = [z1_aligned, z2]" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 4))\n", "for i, xs in enumerate([X, X1]):\n", " plt.subplot(1,2,i+1)\n", " plt.scatter(xs[:, 0], xs[:, 1], s=5, c=zs[i],\n", " cmap=plt.cm.get_cmap('Accent', nc))\n", " plt.xticks([])\n", " plt.yticks([])\n", " plt.axis('square')\n", "plt.tight_layout()\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Probabilistic alternatives to k-means\n", "\n", "There are several advantages to fitting a probabilistic model:\n", "\n", "- There is a probabilistic interpretation\n", "- It is generative\n", "- You have a log likelihood to work with - e.g. evaluate model fit with AIC and BIC" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "from sklearn.mixture import GaussianMixture" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Model selection\n", "\n", "We can use so-called information criteria that approximate the leave-one-out error. Two commonly used are \n", "\n", "- AIC - Akaike Information Criteria\n", "- BIC - Bayesian Information Criteria\n", "\n", "Basically, they add a penalty term to the negative log likelihood to penalize for model complexity. BIC is generally more conservative than AIC (i.e. BIC prefers less complex models)." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "aics = []\n", "bics = []\n", "for i in range(4, 10):\n", " gmm = GaussianMixture(n_components=i)\n", " gmm.fit(X)\n", " aics.append(gmm.aic(X))\n", " bics.append(gmm.bic(X))" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(6, 8939.46780097899)" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "min(list(zip(range(4,10), aics)), key = lambda x: x[1])" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(range(4, 10), aics, '-o');" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(5, 9095.225715313982)" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "min(list(zip(range(4,10), bics)), key = lambda x: x[1])" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(range(4, 10), bics, '-o');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Generative model\n", "\n", "You can draw synthetic samples from the fitted distribution." ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "gmm = GaussianMixture(n_components=nc)\n", "gmm.fit(X)\n", "xs, zs = gmm.sample(1000)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(xs[:, 0], xs[:, 1], s=5, c=zs,\n", " cmap=plt.cm.get_cmap('Accent', nc))\n", "plt.axis('square')\n", "pass" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 2 }