{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import networkx as nx\n", "from networkx.drawing.nx_pydot import graphviz_layout\n", "from networkx.drawing.layout import planar_layout\n", "import matplotlib.pyplot as plt\n", "from matplotlib.colors import LinearSegmentedColormap\n", "import pandas as pd\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Graph concepts" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### elements\n", "\n", "- graph\n", "- vertex\n", "- edge\n", "- path\n", "\n", "### graph properties\n", "\n", "- directed or undirected\n", "- weighted or unweighted\n", "- cyclic or acyclic\n", "- single or multiple edges\n", "- connected or disconnected\n", "\n", "### vertex properties\n", "\n", "- in-degree\n", "- out-degree\n", "- centrality\n", "\n", "### edge properties\n", "\n", "- direction\n", "- weight\n", "- multiplicity\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Graph representations\n", "\n", "- Vertex and edge collections\n", "- Adjacency list\n", "- Adjacency matrix\n", "- Sparse matrix" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import networkx as nx\n", "from pprint import pprint" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vs = ['a', 'b', 'c', 'd']\n", "es = [('a','c', 1), ('b','c', 2), ('a','d', 3), ('c', 'd', 4)]\n", "\n", "g1 = nx.DiGraph()\n", "g1.add_nodes_from(vs)\n", "g1.add_weighted_edges_from(es)\n", "\n", "pos = nx.spring_layout(g1)\n", "labels = nx.get_edge_attributes(g1,'weight')\n", "nx.draw(g1, pos=pos, alpha=0.5)\n", "nx.draw_networkx_edge_labels(g1, pos=pos, edge_labels=labels)\n", "nx.draw_networkx_labels(g1, pos=pos)\n", "pass" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import sys" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "#/usr/local/lib/python3.8/site-packages/ipykernel_launcher.py -f /Users/cliburnchan/Library/Jupyter/runtime/kernel-cbc7a826-65d9-4be6-993f-cecdb1c227ba.json\n", "# GMT Thu Nov 12 00:34:55 2020\n", "# \n", "a c d\n", "b c\n", "c d\n", "d\n" ] } ], "source": [ "nx.write_adjlist(g1, sys.stdout)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " (0, 2)\t1\n", " (0, 3)\t3\n", " (1, 2)\t2\n", " (2, 3)\t4\n" ] } ], "source": [ "print(nx.adj_matrix(g1))" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "matrix([[0, 0, 1, 3],\n", " [0, 0, 2, 0],\n", " [0, 0, 0, 4],\n", " [0, 0, 0, 0]])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.adj_matrix(g1).todense()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "#### Standard format for graph exchange is GraphML" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "graph [\n", " directed 1\n", " node [\n", " id 0\n", " label \"a\"\n", " ]\n", " node [\n", " id 1\n", " label \"b\"\n", " ]\n", " node [\n", " id 2\n", " label \"c\"\n", " ]\n", " node [\n", " id 3\n", " label \"d\"\n", " ]\n", " edge [\n", " source 0\n", " target 2\n", " weight 1\n", " ]\n", " edge [\n", " source 0\n", " target 3\n", " weight 3\n", " ]\n", " edge [\n", " source 1\n", " target 2\n", " weight 2\n", " ]\n", " edge [\n", " source 2\n", " target 3\n", " weight 4\n", " ]\n", "]\n" ] } ], "source": [ "nx.write_gml(g1, sys.stdout)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Some examples" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "n = 50\n", "k = 6\n", "p =0.3\n", "g = nx.watts_strogatz_graph(n, k, p)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visual representations of the same graph may look very different" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Complete graph" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nx.draw_circular(nx.complete_graph(10), alpha=0.5)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nx.draw(nx.complete_graph(10), alpha=0.5)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nx.draw_random(nx.complete_graph(10), alpha=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Undirected graph" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nx.draw(nx.krackhardt_kite_graph(), alpha=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Directed graph" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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5XD5kVvj48WN4eXkNOWTv7+8PDoeDhoYG/Pa3v8WSJUuwcuVKw7KpuTNf+/v7ceXKFcyZM2fEc1WjVTEBgICAAJtWMSHG1tjYiFOnTuGdd94Z9+dqNBpcvHgRFRUVWLVqFfz8/JCbm4u5c+dCJBJZYLRjo2kajx49gkQiQWVlJcLDwyESiRAXF0eSmxwcCXwMp9Vq0dbWNmRW2Nvbi5CQEMhkMly6dAmurq4Qi8V466234O7ubtazjvX19fjkk09QW1uL3/3ud5gyZcq4q5i4uLiwJsDZQxKQqa5fvw65XI7FixebfI379+/j5MmTyMzMRFxcHPbs2YMNGzYgLMy2PTDVajUqKyshkUjQ3NxsKJUWERHBmp9NwnxI4GMhhUKBpqYm5ObmorCwEDRNo6urCxEREfjjX/6GXaU9I+7pjUWj1aGzT43/3+I4XDh7Gl9++SUoioJUKkVGRga8vb2HVDEZfAaOzVU22JgEZG779++HSCQaV9mx4cjlchw7dgwAkJKSgqtXr2Lr1q3w8PAwxzAnTC6X4+7du5BIJFCr1YajEZbKRCWYhwQ+Fvv1r3+NpqYmCAQCBAYGIiwsDHGzFuPcgx6T65kCQFOXAjFUG3b/+bfgcDjw9fWFRqNBZmYm/vVf/9Xi2XrWxvQkIGugaRp//OMf8e6775plL0yn0+G7777DnTt3EBISgr6+PmzatIlRS4w0TaOlpQUSiQR3796Ft7e3oVQaWwpSEKYhgY/Fbt26BU9PT0RGRhp+USfawQIAWuRKPB/rh+fCnXH27FkcOXIEEokEiYmJOHXqlLmGzwhMSQKytdbWVhw+fBg//elPzXrduro65OXlobOzE2lpacjJyWHk0qJWq0V1dTUkEgkePnyI6OhoQ6k0chbU/pDAZ2eOFDSguKEb/u6mH+Zt71EhmN+Pb/7x/0dPTw/c3d1BURQmTZqEt956C87OznBxcTH8r5OTEyPfzMZi7fJ3THb79m20tLRg+fLlZr+2QqHAsWPHcPbsWWzcuBFLliwx+z3MSalUory8HBKJBB0dHUhOToZIJEJISAgrf86JZ9n3br2d6+3tBYfDGbK35izgQjfBZxktTSMsOBArV67EmTNnoNVqodVq4ezsjAcPHkChUKC/vx8KhQIKhQIajeaZYDjS/+r/v7Ozs82fpPNrOsDhUOMKegAg5HNBURTyqztGLHjONnV1dUaf3RsvFxcXbNy4ESEhIfjwww+h1Wrx8ssvW+Re5iAUCiEWiyEWi9HV1YXS0lLk5eWBw+EY9gM9PT1tPUxiAkjgY7E9e/bgxo0b8PLyQlBQ0JO9vuSZ0Ggn1gtOq9UhzMcd2Vu2YPHixdi3bx8uX76M5557DtnZ2cO8XjskGD79v52dnc/8fX9/P/h8vlHBcnDQ5PP5ZnnqVqg1uF0rha+raUWp/dwEuFUrxcKkINZne9I0jbq6Orz44osWuwdFUZg3bx48PT3xu9/9Dp2dndiwYQPji4J7e3tjzpw5mD17tqGJ82effYagoCCIRCIkJCSQUmksxO7fWAcXExODs2fPQi6XIz8/H87OzviPjGm41296z0L95/3tP3+J7o42eHp6QigUQiAQjJiVx+Vy4e7uPq5apDRNQ6VSDRso9RVdhvuYTqcbV7DUzy6friBS3iQ3+WsEADzuk69xeZMcmYP61LFRV1cXOByOVQo+i8Vi/Ou//ityc3MhlUqxfv16ozq325q+TVN4eDgWLVqE+/fvQyKR4JtvvsGUKVMgEokQFRVFKguxBAl8LCOTyVBZWYmKigpUV1ejp6cHYWFhSE1NxW9+8xvExcWhZwLn+Dp61Qjm9iBEPBUHDx6ETCaDh4cHPDw8zNpyhqIoCIXCcWeIajSaEWeXPT09aGtrMwRP/cdUKhUEAsGQpdYu9yjwuBPLXuRyOWjtUU7oGkxQV1eHyMhIq+1fZWVlQSqVoqioCHv27MHcuXORlZXFmv0zHo+HxMREJCYmoq+vD2VlZbh06RJ6enoMpdICAgJsPUxiFCS5hQU6OjpQUVGByspKdHV1GVrGREdH47/+67/Q2NiI3/zmN5g8eTKAiSdteNRdw6FdX8DV1dVQOzM5ORkvvvgi0tLSkJ6eDh8f9sxydDodlErlkCD5XZMG1d3aCScBpUd4IUccbsbRWt/x48cRFhaGjIwMq91Tp9Nh3759cHZ2hlQqhbu7O1asWMHqs6BtbW0oLS1FaWkpXF1dDUcjSKk05iGBj4H054sqKipQUVEBpVKJhIQExMfHIzIyckhSSGVlJYRCISZNmgSdToempiZcuXIFd5tkGIieZVKafpy/EO+//z4ePHhg6Gt37NgxREREoKioCBKJBIGBgUhPT0d8fDwrO2Ob89jHstQQM47M+j766COsX7/e6rOU/v5+5ObmYubMmZBKpSgrK8Mrr7yCSZMmWXUc5qbT6Qyl0qqqqhAREWEolcbG3xV7RAIfQ+h0OjQ0NBhmdhwOBwkJCUhISBiz47RUKsX58+dx48YNNDc34969e/jJT36C517eYHTPQrlcjiwfFTYtnweKolBeXo4//OEP6O7uBpfLxdatWzF//nw4OztDo9GgsrIShYWFaGtrg0gkQnp6Ovz8/Cz5JTKrO7VSHCqon/BB/7UZEaze45PL5fjss8/wL//yLzZZamxvb8euXbuwbt06KJVKnDhxAhkZGZg9e7Zd7Jep1WpUVFRAIpHg8ePHSExMhEgkQnh4OGuWdu0RCXw2pNVqUVtbawh27u7uhpldQECA0b8YTU1N+Ld/+zeoVCq0tbXBy8sLH330EUJDQ8fsWdjX24MkfycEohu//7dfIzs7G6+99hqioqLwxRdfoKqqCr/97W+Rn5+Pe/fuYf78+UhLSzOMTb9XU1JSAl9fX4jFYiQmJjL+yVah1uD/nro34dJuv12WyOqszrKyMpSVlWHdunU2G8P9+/fx9ddf48033wRFUTh27Bh0Oh1WrVrFmDJn5iCXyw1d5DUajeFoBJu2DewFCXxWplar8fDhQ1RUVODBgwfw9/c3zOy8vb1Nvu7JkycNRaSjoqLwu9/9bkjgLC4tx/9s24+NW39i6FnoDDV+smEFhDwKf/nLX/CXv/wFKpUKoaGhmDZtGrKzs8Hj8Qw9zZqbm3H69GlwuVwsXbp0SK8zrVaLqqoqFBYW4vHjx0hNTUV6ejqjN/nNWcybrU6fPg0fHx+zJi6Z4vr16ygvL8cbb7wBLpeL69ev4+bNm1i+fDni4uJsOjZzo2kajx8/hkQiQVlZGXx9fQ1d5EmpNOsggc8K+vv7UVVVhcrKStTW1iIsLAwJCQmIi4sb1xGAkRQVFeHy5csQi8XYvn07Nm/ejBdeeMHw8Z6eHrz77ruoqanB119/bUhbf/jwIZYuXYrW1lZkZWWBy+UaZmqhoaH44IMPEBUVNeReNE2jsLAQly9fRmpqKubOnfvMOaauri4UFxejuLgYXl5eEIvFSEpKYlSdRoBUbgGATz/9FNnZ2QgJse0+JU3T+OqrrwwzPYqi0NDQgLy8PMTFxeGll15i/CqCKbRaLR4+fAiJRILq6mrExsZCJBIhJibG5gUe7BkJfBbS09NjOHbQ1NSE6OhoxMfHY8qUKWZ9qrt58yZu3ryJV199Fb6+vqitrUVwcLDhmIBGo8Hf/vY3XLx4EVwuF7///e+RlpYGALhx4wZ+/OMfo7m52ZBNFxoaCi8vL/z5z39GfHz8iPft6+vDxYsXUV1djYULFyIxMfGZpVmdTof79++jsLAQjY2NSElJQXp6OoKCgsz2758oR67VqVAo8NFHH+GDDz5gxH7awMAAdu7ciYSEBDz//PMAnjw0fv3115BKpcjJyWHVPvJ49ff3G0qlSaVSpKSkQCQSISgoiOwHmhkJfGYklUoNmZidnZ2YPHkyEhISEBMTY/YKFTRN49q1aygtLcVrr702YgmlvLw8HDp0CAqFAu7u7li6dCl+9KMfGT72hz/8ATU1NdDpdPDy8sLbb7+NBQsW4ObNm3jrrbfGfMqur6/HqVOn4O7ujiVLlozY2kUmk6G4uBhFRUVwd3eHWCxGcnIyIyp36LszGJMEZE/dGSorK3Hnzh28+uqrth6KgVwux7Zt27B06VLDEqd+leHbb7/FggULIBKJ7D4QSKVSw34gn883dJG3pz1PWyKBbwJomkZbW5sh2PX19SEuLg4JCQmIioqy2FIFTdO4ePEiHj58iFdffXXUc0IXL15Efn4+Tp48iSlTpiAiIgJ/+MMfAAD/+Mc/8OWXX0KhUCA5ORlbtmzB3LlzQdM0jh49Cnd3dyxatGjM8Wi1Wty+fRvfffcdMjMzMWvWrBGXNXU6HR4+fIjCwkLU19cjKSkJYrHY5tU7xkoC0vfjmxnjx/rlTb3z589DKBRi9uzZth7KEI2NjThw4ABef/31IXvEra2tOHr0KIKDg7F06VKHKBVG0zQaGhogkUhw7949BAcHG0qlMeGhka1I4BsnmqbR2NhoCHY0TRuSU8LCwiy+ZETTNE6fPo3Hjx/jRz/6kVHLps3NzcjLy0N2djb6+voMS5jd3d1wcnJCUVERysvLAQBvvfUWgCfLLp999hlefvllxMbGGjU2uVyOc+fOobm5GUuWLDEcqB/t9SUlJSgqKoKzszPEYjFSUlJs+oY2uAO7PgnIXjuw5+bmYsGCBYiMjLT1UJ4hkUgMDWwHH2ofGBjAN998g9raWuTk5Nh8b9KaBgYGDKXS6uvrERcXB5FIhEmTJjFiqZpNSOAzglarxaNHj1BZWYnKyko4Ozsbgl1gYKDVll10Oh2OHz8OuVyO9evXGx0g7ty5g+bmZqxYsWLYj0ulUmzfvh1cLhfr1q0zvJnU1tbi2LFjeOedd+Dqanzh6+rqapw+fRqBgYFYtGjRmJXsdTodampqUFhYiNraWiQmJiI9PX3M84uE6dRqNf785z/j17/+NWOTRs6fP294wHt69aSsrAxnz57FrFmzMH36dIf7Oent7UVZWRkkEgn6+voMpdL8/f0nfO3BD3/9ai2cBfb38EcC3wgGBgZQXV2NiooK3L9/Hz4+PoZgN9I+liVpNBocPXoUWq0Wa9asGVeG5PHjxxEeHg6xWDziaz777DP4+flBIBAM6cl24cIFdHZ2Yu3ateN6c9FoNLh+/Tpu3bqFmTNnYsaMGUYt/fb29qKkpASFhYUQCAQQi8VITU21u67vtlZdXY2rV69i8+bNth7KiHQ6Hfbv3w9fX18sXrz4mY93dXUhLy8Pzs7OyM7OHtfDmT1pbW01lEpzd3c3lEob79ejRaZEfk0Hbv+w3M/jcsChKOho2vDf06J8MCPaD0Ge7P59ZE3gs8ZTiFKpxP3791FRUYGamhqEhIQYDpTbclNZrVbj0KFDcHJywqpVq8a9d/j3v/8dOTk5o2ZTXr16FVKpFFVVVfj5z38+JCt027ZtyMzMHDVwjkQqleLs2bPo7u7G0qVLjS5HRdM0amtrUVhYiOrqasTHxyM9PZ1UvDCTy5cvQ6fTYf78+bYeyqiUSiVyc3Px3HPPIT09/ZmPa7VaXL58GaWlpVi5cuUzx28ciU6nQ21tLSQSCe7fv4/IyEiIRCJMmTJlzFm9PsGLw6FGLOpgTwlejA98ln4K6e3tRVVVFSoqKtDQ0IDIyEjDGTsmFMxVKpXYv38/fHx8sHz58nGv5SuVSnz44Yf4zW9+M+rntrW1Yd++fQgNDUVUVBQyMzMNH2tvb8fOnTuxZcsWk2a7NE2jsrIS33zzDSIjI7FgwYJxFe7t6+uDRCJBYWEhOBwOxGIxRCIROew7Abt27cKsWbOM3r+1pY6ODuzcuRNr165FRETEsK+prq7G8ePHMXXqVMydO9fh97xUKpWhVFpra6uhVFpYWNgzD46OeKSH0YHPUk8h3d3dhuSUtrY2xMbGIiEhAbGxsYzKFFMoFNi7dy/Cw8OxePFik2Y6NTU1uHr1Kt54441RX0fTNP7+978jIyMDJSUleOedd4bc7/bt2ygpKcGWLVtMzlZVq9W4du0aioqKMHfuXGRkZIzrDUrfMLWoqAj379/HlClTkJ6ebtWWOvZAo9Hgf/7nf/DLX/6SUT/vo3n48CGOHz+ON998c8Q9497eXnz11VcYGBjAqlWrSJf0H8hkMsPRCJ1OZyiV5u3t7bBFHBgb+Mz5FELTtKG1T0VFBWQyGeLj4xEfH4/o6GhGbu739PRgz549iI+Px7x580x+Y7927RqUSiUWLFgw5msvXrwIALh37x5WrlyJ8PB/ttuhaRr79+9HUFDQhJfH2tvbcfr0aahUKixbtgyhoaHjvoZCoUBpaSkKCwtB0zTS09MhEokcdp9nPOrr63H27Fm8/fbbth7KuOTn56O0tBSbN28eMZWfpmnk5+cjPz8fy5YtQ0JCgpVHyVw0TaO5udlQKi0wMBAuiXNR2CBzuLJ9jAx85ngKCXB3QnNzsyHYDQwMGJJTIiIiGL0U0tXVhb1792Lq1KmGChamOnDggKEO4Fiamppw7NgxpKeno729HdnZ2UM+3tvbi88++wyrV6+ecAo8TdO4e/cuzp8/j/j4eEPnB1Ou09DQgKKiIlRWViI2Nhbp6emIioois8ARfPfdd+jr6zPqjCaT0DSN48ePQ6PRICcnZ9Tvb2NjI/Ly8hAbG4sFCxYwrlyerWm1Wjx81IAdJTL4uTk5XKF2Rr7759d0gMOhxhX0AEDI50KtVuEfxy7hr3/9K7766itQFIVXXnkFv/jFL7B48WLGn3np6OjArl27MH369AkHPf2ZQ2NnVCEhIdBoNAgLC0NlZSX6+/uHfNzNzQ3Lly/HV199BaVyYp3HKYpCamoq3n33XXA4HHzyyScoKSnBeJ/DKIpCREQEsrOz8d577yEiIgLnzp3Dxx9/jO+//x69vb0TGqc9qq+vZ+TZvbFQFIWXX34ZMpkM33333aivDQsLw9tvvw2FQoFt27ahvb3dSqNkBy6XCznHA1odbVLQAwAelwONVofyJrmZR2d5jIsACrUGt2ul8HU1rSqBC1eH2j4ectZtwLvvvov58+ez5jxYS0sLdu3ahRdeeAFZWVkTvp5MJgNFUUZnpFIUhYSEBDx69AiTJ0+GRCJ55jVTpkzB5MmTcfr06QmPDwCEQiGWLFmCDRs24M6dO9i5cydaW1tNupazszOysrLwzjvvYNWqVZBKpfj73/+OQ4cO4eHDh+MOqvZI3/dxpCQRpuPxeFi7di0KCgpQUVEx6muFQiFycnIwbdo07Ny5E0VFReRnYJDWHqXJQU+Py+WgtWdiD8G2wLjAV94kN2RrmsLf1wf+AYFoVbGrnE9DQwP27t2LJUuWGIpIT1RTU9OwWVyjSUhIQEVFBTIyMgz7Z09bsGABHj9+jLt375plnMCT2eaWLVuQmpqKPXv24Ny5c1CpVCZdi6IohIaGYvny5fjFL36BmJgYXLp0CR999BGuXbuGnp4es42bbVpbW+Hu7s7qvVB3d3esXbsWX3/99ZgPSRRFIT09HW+88QZu3ryJvLy8Ca9W2It+tRacCU4IuBQF5YDWTCOyHsYFPkd8CqmpqcHBgweRnZ1t1F6cscazzKkXHh6Onp4eQ7uk+vr6Z17D5/OxatUqfPPNN+ju7jbHUAEAHA4HGRkZ+PGPf4z+/n588sknKC8vn9BTupOTEzIyMvD2229jzZo1kMvl+OSTT3DgwAHcv38fOp3ObONng7q6OtbO9gYLDQ3FokWLcPDgQSgUijFf7+/vjzfffBNCoRCff/45mpqarDBKZnMWcKGb4AxYS9Pj3pJiAsYFPkd7CqmqqkJeXh5Wr149Zm3L8dLP+MaDw+EgPj4elZWVEIvFKCgoGPZ1wcHBmDlzpqGHmjm5uroiOzsbq1atwtWrV/Hll1+is7NzwtcNCQnBsmXL8P777yMuLg5Xr17FRx99hCtXrkAmk5lh5MzH1v294aSmpiIpKQmHDx+GVjv27zufz8eyZcvw0ksvYf/+/bh+/bpDL30Guguh0U7sd1er1SHQnX3HGRgX+BzpKaSsrAxff/01NmzYYHRFE2NptVq0tLSYVMRXv9wpEonw4MGDEZ+oZ8yYAYqicP369YkOd1iRkZF4++23ERMTg+3bt+Py5csYGBiY8HUFAgHS09Px5ptvYv369VAoFPjss8+wf/9+VFZW2u0sUH8O0l4CHwDMmzcPAoEA33zzjdGfk5iYiDfffBOVlZXYt2+fwyZAJYV6GBJUTKHfkkoKZV+rJMYFPkd5CikqKsK5c+fw6quvmnSObSxtbW3w9PQ06YByVFQUOjo6MDAwgLi4OJSUlAz7Og6Hg5UrV+LmzZtobm6e4IiHx+VyMXPmTLzzzjvo6OjAp59+igcPHpjt+kFBQViyZAnef/99JCYm4vr16/jrX/+Kb7/9Fl1dXWa7DxN0dnaCz+fb1cFuDoeDV155BbW1tSOuTgzHy8sLmzZtQnBwMD7//HNUV1dbcJTM5CLgISvKB519apM+v6NXjWlRPqw7ygAwMPA5wlPIzZs3ce3aNWzatAmBgYEWuYcpy5x6XC4XU6ZMQWVl5ahJLgDg6emJxYsXIy8vD2q1ab9AxvDw8MDq1auxdOlSnD17FocOHTLr8iSfz0daWhq2bNmCV199FWq1Grm5udi7dy/u3btn1FIa09nL/t7ThEIh1q9fj8uXL+PRo0dGfx6Xy8X8+fOxcuVKHD9+HBcvXrSL7/N4zIz2g05Hj3trSDmgBU3TmBnjZ6GRWRbjAp89P4XQNI2rV6/izp07eOONNyza5cGUxJbB9MudYWFh4PF4qK2tHfG1ycnJCAsLw7lz50y+n7FiY2Px4x//GEFBQfj8889x/fp1s79ZBQQEYNGiRXj//fchEolw69Yt/PWvf8XFixchlUrNei9rsrdlzsF8fX3xyiuv4OjRo+NOuIqOjsY777yD1tZW7Ny506wJW0wX5CnExmmRaOtRGR389FWyNk6LZGW5MoCBgQ+wz6cQmqZx4cIF3Lt3D2+88YbFl5uampomFPhiYmLQ3NyM/v5+iMViFBYWjvr6JUuWoKamBpWVlSbf01g8Hg9z5szB1q1b8ejRI3z22WfjetIfz31SU1PxxhtvYNOmTdDpdNi+fTt2796NsrIyaDQas9/TkuwpsWU4MTExmDVrFg4cODDu1QdXV1ds2LABiYmJyM3NNTRmdgSicC9smjEJXX1qtMiUI662abQ6tMiU6OpTs7pANQAwb1qEfz6FmFqrk2lPIYO7pm/atMniXQWUSiVkMtmEllH5fD5iYmJQVVWF1NRUfPvtt+jt7R2xq4KTkxNWrlyJw4cPIzQ01HAcwpJ8fHywYcMGVFZW4quvvjKp84Ox/Pz8sGDBAsybNw+VlZUoLCzE2bNnIRKJkJ6eDj8/5j1sDSaTyTAwMGCTXpLWNG3aNLS2tuKrr77CmjVrxnWGlaIozJw5E5GRkcjLy0NNTQ0WLVrkEOXOROFeCPIUIr+6A7d+6ITD5XLApShoaRraH7aQpkf7YGaMH+PeY8eLkbU69fTdGSiKgp8bO3tEmdo1fSJqampw5cqVCTcZvXv3LkpLS7Fx40acPHkS3t7eY5ZRu3z5MpqamrBx40arVstRq9W4evUqiouLTer8YAqpVIqioiKUlJTA19cXYrEYiYmJjCx6XlpaisrKSqxZs8bWQ7E4jUaD3bt3IyYmBnPnzjXpGiqVCqdOnUJraytycnIQEBBg3kEy2ODep8oBLYR80oHd6lrlyjGfQqZFMfMpZCJd0yfiu+++Q39/v1EdGUajUqnw4Ycf4he/+AWkUikOHz6M9957b9SAptVqsXPnTqSkpGDatGkTur8p2tracPr0aajVapM7P4yXVqtFVVUVioqK0NzcjNTUVKSnpzPqzfLrr7+Gv78/pk+fbuuhWEVvby9yc3OxcOFCk4tC0DQNiUSC8+fPY968eRCLxawofUiMjfGBT49tTyET7Zo+EQcOHDAc7p2o/fv3IyUlBSkpKfj8888xf/78MZuXSqVSbNu2DZs2bbLJmz9N0ygtLcWFCxcm1PnBFN3d3SgqKkJxcTG8vLwgFouRlJRk8+WyTz75BK+88gqCg4NtOg5revz4Mfbu3YvXXnsNQUFBJl+no6MDR44cga+vL5YvXw6hkFkP2MT4sSbwsclEu6ZPBE3T+Mtf/oKtW7fCy8trwtcrLi7GgwcPsGbNGhQWFuLBgwdYt26dUZ938+ZNvPnmmzZb+lMqlfj2229x7949vPjiixCJRFZ7YtfpdLh//z6KiorQ0NCAlJQUpKenT+gN2FR9fX34+OOP8etf/5rRnUksoaysDBcvXsSbb745ofqkGo0G58+fx/3797Fq1aohvSoJ9nGs3wIrUCgU2L17N4KCgrBixQqrv9HI5U9ahJgrazQuLg7V1dUYGBhAcnIy6urqDPcYTVpaGnx8fHDp0iWzjMMU5uz8MF760m8bNmzAO++8AxcXF+zfvx+5ubkoKiqy6JnHp9XX1yM8PNzhgh7w5KhNSkqK0WXNRsLj8bBkyRJDfdDvv//eocudsR2Z8ZmRubqmT0R5eTlKS0uxfv16s11z9+7dmDZtGuLj43Hq1Cm4u7tjzpw5Y36evhTYihUrEBMT8+TvBi1Z96u1cBZYZ8lap9OhsLAQV65cgUgkwpw5c6ySaPT0GB4+fIiioiLU1dUhKSkJ6enpJpWVG49vvvkGrq6uE+7vyFY0TePgwYNwc3PDsmXLJvx7KZPJkJeXBx6Ph1deecUiWcSEZZHAZybm7Jo+EefPn4ezs7NZx3D79m00NjbilVdeQUtLCw4cOID33nvPqBlETU0Nvv76a6zd9Dbyazpw+4ckJR6XAw5FQUfThv+eFuWDGdF+CPK03B5KX18fLly4gJqaGkPigy0eUORyOUpKSlBUVARnZ2eIxWKkpKRYJBh//vnnWLx4sV1WbTGWSqXC9u3bkZGRYZZelzqdDlevXkVhYSGys7PH3PcmmIUEPjPo6OjAnj17MGvWLLP8Uk3Ejh07MHfuXERHR5vtmj09Pfj000/xq1/9ClwuF9u2bcPzzz+PuLg4oz7/RlUTvrrbAQ6Hgq8rM46l1NXV4fTp03B3d8eSJUtsdr6NpmlUV1ejqKgINTU1SExMRHp6utmaJ6tUKvzlL3/Br3/9a0Yes7AmqVSKHTt2YNWqVYiKijLLNR89eoRjx44hJSUF8+bNs2oSG2E6x1v0NzN91/R58+bZPOhNpCPDaNzd3eHn52coW2ZMJRc9SUM3Dkva4e0qQKCHcMReizwuB0GeQni7CrDrxiNIGrrNNfxhWarzw3hRFIXY2FisWbMG7777Lnx8fHDs2DF89tlnuH379oSbpjY0NCAkJMThgx7wpODBqlWrkJeXZ7YC5JMmTcI777yD9vZ27Nixw+4Km9srEvgmwBJd0yeivb0dnp6eFkm31tfuBJ4kDDQ0NIxZ07BFpsS+W3VGV98BACGfiwB3J+y7VYdWuWWbCQ/u/NDe3m72zg/j5ebmhlmzZuGnP/0pFi1ahPr6evztb3/D8ePHUV9fb1IyhT3X5zRFVFQUZs+ejQMHDkClUpnlmi4uLli/fj1SUlKQm5uLsrIys1yXsBwS+ExUW1trka7pEzHRwtSjSUhIMPSq4/P5SE1NRVFR0aifk1/zZHlzvL0RhXwuKIpCfnXHRIZsNA8PD6xZs8ZinR/Gi6IoREVFIScnBz/96U8REBCAEydO4NNPP8XNmzeN6jiuZ68dGSYiMzMT4eHhOHbsmNkyMymKwvTp0/Hqq6/i8uXLOHnypFUzd4nxIYHvBwq1BndqpThV2owjBQ04VdqMO7VSKNTPFiKuqqrC0aNHLdI1fSImWph6NN7e3nB3d0dDQwOAJ8udxcXFI6aIK9Qa3K6VwtdVYNL9/NwEuDXC199S9J0fAgMDLdb5YbxcXV0xc+ZMvPvuu1i2bBmam5vxv//7v8jLy8OjR49GfePWaDRoaWkhZ86eQlEUlixZgv7+fly+fNms1w4ODsZbb70FrVaLL774wmrHZ4jxcfiF/xaZcvRsw+Kh2YZlZWX45ptvsGHDBquUwxqPxsZGi+4zJiQk4N69e4iMjERAQAC8vb1x//59JCQkPPPa8ia54etpCn1PxvImOTKjfCY6dOPvy+Nh7ty5SE1NxZkzZ1BSUoKlS5di0qRJVhvDcCiKQmRkJCIjI9Hf3w+JRILTp09Dp9NBLBZDJBI9c0C7qakJ/v7+EAhMe/iwZ1wuF2vXrkVubi4CAgKQnJxstmvrC7ZLJBLs3r0bL7zwAjIyMki5MwZx6MCnL4I9VrbhzRopblR3ItNbifqS7/Hqq69arIGsqVQqFWQymUVLhCUkJODLL7/EokWLQFEUMjIyUFBQMGzga+1Rmhz09LhcDlp7/rnPNzAwALlcbpUMTB8fH2zcuNHQ+WHSpEl46aWXGHFmy9nZGdOnT8e0adPQ2NiIwsJCfPzxx4iJiYFYLEZUVBQoiiL7e2NwdXXFunXrsGfPHvj6+pq9nJtIJEJYWBiOHj2KmpoaLF++3Gql84jROexSp6ShG7tuPBpXtuGJChkyF+UwLugBQHNzM4KCgiyaTq2fPTQ3NwMAEhMT8fjx42Gbs/arteBM8AmXS1Hokvfizp07+Mc//oEf//jH+Otf/zqha44HRVFISEjAT37yE7i5ueHTTz/FnTt3oNMN36/M2iiKQnh4OLKzs/Hzn/8ckZGROHfuHD7++GN8//33qKqqIvt7YwgKCsLSpUtx8OBB9Pb2mv36vr6+2LJlCzw9PfHZZ5+hvr7e7Pcgxs8hZ3ymZhsmxYTjVEU34sIDGdcJwpKJLXr6QFBRUYHQ0FDweDyIRCIUFRXhxRdfHPJaZwEXugkmDrR3dOLMzt1war0HPz8/ODs7IzQ0FGq12qrLdwKBAC+99BJEIhFOnz6N4uJiLF26lFFL3UKhEFlZWcjMzERzczPu3LmDvLw8ODk5gcfjISYmhiy1jSApKQltbW04dOgQXn/9dbMf/eDxeFi0aBGioqJw+PBhZGVlYdasWQ5ZQo4pHPIrz5Zsw/GwZGLLYPp9Pn1SxUhJLoHuwhE7ORvLw8sLP37jR4iKioJAIEBXVxfa29vxpz/9CR999BEOHjyIy5cvo7y8HB0dHRafiQUEBGDTpk2YNm0aDhw4gFOnTqG/v9+i9xwviqIQGhqKrKwsLF68GImJibh06RI++ugjXLt2DT09PbYeIiPNnTsXbm5uOH36tMVqcMbFxeGtt95CTU0N9u7dS74XNuRwlVsUag3+76l7I+7pjUWj1aGzT43fLktkTDskc3dkGOtef/vb37Bx40bDfuLu3bshFouHJAiY8+vc09WJTz/9FGVlZfj3f/93pKamQiqVorW1FW1tbWhtbUVrayt6e3vh7++PgIAABAYGGv5MpCr/SPr7+/Htt9+ioqLC6p0fjHHjxg1IpVIsXboUwJOl8KKiIpSXlyMiIgJisRixsbFk1jGIWq3G9u3bkZ6ebtFekjqdDt999x3u3LmD5cuXY8qUKRa7FzE8hwt8d2qlOFRQj1BvF5Ov0dSlwNqMCKtmG45GJpPhiy++wK9+9SurvPl+8803EAqFhu7WZWVlKCgowKZNm4a87lhxI27XSk1aFm6RKTE92gcrp4YBePKmdPnyZcyYMQMeHh7Dfo5KpUJ7e7shEOoDI4fDGRIIAwIC4O/vb5Yeec3NzTh16hR4PB6WLl3KmP3fgwcPIjk5+ZlsRbVajbKyMhQWFqK3txdTp07F1KlTzdbNg+26urqwfft2rFy50lBY3VLq6upw7NgxJCYm4sUXXyTlzqzI4QLfqdJmfP+wY0J7dC1yJZ6P9cOyVMtW1TfWvXv3UFJSgg0bNljlfnV1dThz5gz+z//5PwCelEr78MMP8cYbb8DPz8/wuhaZEh9eqIK3q2Bcy8rKAS26+tT45YK4Ce+l0jSNnp6eIYGwtbUVnZ2d8PLyMgRCfVD08vIa98ODvvPD5cuXkZaWZpPOD4PRNI0//elPeOedd0Z8SACelNsrKirC3bt3ERYWBrFYjClTpjj8LPDRo0c4cuQINm/ebPEMYoVCgZMnT0IulyMnJwc+Psx4mLZ3Dhf4jhQ0oLihG/7upr8xtfeokB7hhRwxMw4Gnz9/HkKhELNnz7bK/XQ6HT788ENs3rzZ8It68eJFaLVaLFy4cMhr9dmzxiYSSWW9kKl02PJ8rEULVWu1WnR0dAxZKm1tbYVKpYK/v/8zM0Rj0tAHd35YtGgREhISbLL82d7ejv379+O9994z6vUDAwMoLy9HYWEhuru7DbNAb29vC4+UuQoKCnDr1i1s3brV4g8xNE3jzp07uHLlChYtWoTU1FSL3o9wwMBnjzO+nTt3Yvbs2RZfmhns1KlT8Pb2xnPPPQfgSeX7bdu24f33338mK05/XpKiKPi5jd6dobikGArJOfxq8xrMnj3b6k/A/f39Q4Kh/v8LhcIhgTAwMBB+fn7DLk/pOz94eHhg8eLFVu/8UFBQgMbGRmRnZ4/7c9va2lBUVITS0lIEBwdDLBYjLi5uQstwturBOFGnT5+GTCbDunXrrDILbmlpwdGjRxEWFoYlS5aQwgMW5HCBz972+HQ6Hf7whz/g/ffft0hx6pFUV1fj8uXL2Lp1q+Hv9u7dC5FINOwTa6tcifzqDtz6oUIOl8sBl6KgpWloB/Xjc+trxr//6mfw9PRESEgIpk2bhjVr1th0CYimaXR3dz+TTNPd3Q1fX99nkmnc3d2h0+lw69YtfP/998jMzMSsWbPMsqdojLy8PERHR2Pq1KkmX0Oj0eDevXsoLCxEZ2cn0tLSkJ6ePq7vw5hVkazUg9FUWq0We/fuRVhY2DPHdSxFrVbjzJkzaGhowOrVqxEUFGSV+zoa5j5uWUhSqAd4xRyTy2npPy8pdOS9E2tqa2uDh4eHVYMe8KQdS2dnJ+RyuWEfKSMjAzdu3Bg28AV6CLFyahgWJgUZnv6VA1oI+UOf/ru6XDF58mS0t7eju7sbZWVlJs1czImiKHh7e8Pb2xvx8fGGvx8YGEBHR4chEN64cQNtbW3QaDSGIDht2jSUl5ejqKgIy5cvt3htV5qmUVdXZ0g8MoVhhgY/uKW8CKFKgaqmWtzetgOhgf4Qi8WIj48f9bzbeKsiWaMH43hxuVysXr0aubm5CAwMREpKisXvKRAIkJ2djdLSUuzZswdz5sxBVlYWozKG7YHDBT4XAQ9ZUT4mZxt29KoxPdqHMUs01jq/9zQul4spU6agoqLCkPo9ZcoUnDlzBm1tbSOWTnMR8EadKXt5eSEgIAD9/f3o7u7G5s2bGfvUy+fzERwc/Eypq76+viFLpTweD01NTfjggw8QHh6O+fPnIyYmBoGBgfDx8THrMlp3dzd0Op1JM+RRZ2hUEDjRQXB3UuLKrRKcPXsWIpEI6enpQxKaAOP3dfVVkZQDWuy68QibMIlxwc/V1RXr16/H7t274evra/ZelyNJTU0dUu5sxYoVcHExfZWKGMrhljoBZmQbmsvJkycRHByMzMxMq9+7srISN2/eHHKM4dtvv4VKpcLixYtNvu7+/fvR0dGBl156CadOnbJKdp2l6XQ6tLW14ezZs7h58yZCQkLg4eEBhUJh1rOHEokE9+/fx+rVq8f3eUbO0Dp61aBpGi8neEH1+AFKSkrg6+sLsViMxMREdPRp7OZ3a7CKigqcPXsWb775Jtzd3a12X61Wi0uXLqG8vByvvPIKqb1qJg4Z+IDxZxsqB7Ro61Fh0wxmPZV++umnyM7OttqT6GADAwP485//jJ/97GeGN+ru7m58/vnneP/9903e09JqteBwOKAoCkVFRbh+/Tq2bt1qNwV+pVIpzpw5A5lMhpdeegkuLi5mO3t48uRJBAUFjatLx0R+F5JD3FFVVYWioiL09/fDN2Ox2c5uMs3Vq1fx4MEDbNq0yeod7R88eIATJ04gIyMDs2fPdvgjJxPlsIEPGF+2IU3TjNuHUKlU+POf/4zf/OY3Njv8euTIEcTExCA9Pd3wd/v370dCQsKEkisGO3/+PJqbm/Hqq6/azSFfmqZRUVGBb775BlFRUUM6P0zk7OHHH3+MNWvWGH2Q3pyrH32qAfzudIVdVUUajKZpHDlyBAKBACtWrLD6vltPTw+OHTsGnU6HVatWjXpGkxidQwc+wPhsw5kxfoxbgnn06BEuXbqELVu22GwMZWVlkEgk2Lhxo+Hvqqqq8N133w3J+JwInU6HQ4cOwcXFBcuXL7erjX61Wo2rV6+iuLgYL7zwAsRi8YhP82OdPfTw8MDVq1fxL//yLwgMDDRqhmzO6jr2ljE9HLVajR07dkAkEmHGjBlWv79Op8P333+P27dv4+WXX0ZcXJzVx2APHD7w6Q0+azRctiETff/99+jt7cWiRYtsNgaVSoUPP/wQv/jFLwyZpTqdDn/729+wYcMGsyWm6N9wUlJSDGcH7UlbWxtOnz6NgYGBcXd+0J89vHHjBgoKChAfH4+2trYhZw/1s8TBZw/NXbfWHs/IDqe7uxvbtm1DdnY2YmNjbTKG+vp65OXlIT4+Hi+99JLVl17ZjgQ+Fjt06BCSkpLM2j3aFPv370dycvKQYwxXr15FT08Pli1bZrb7yOVybNu2DUuWLBlyrMBe0DSN0tJSXLhwAQkJCZg3b9649jXPnj0LDw8PPPfcc0POHg5eLtWfPQwMDITrpBRcqO4z2wzNHqsijaS+vh6HDh2yaeJVf38/Tp48ia6uLuTk5DyTXUuMjOyQspg1evAZQ9+jb7CpU6eivLwcKpXKbPfx8PDAunXrcPLkSTx+/Nhs12UKiqIgEonwk5/8BADwySefoKSkxOg2OYM7ruvPHsbHx2POnDlYvXo13n33XXzwwQdYsWIFoqOj0aWkTZrpDcblctDaowRgnh6MWpoed7swW4iIiMC8efNw4MABKJVKm4zB2dkZa9asgVgsxo4dOyCRSGwyDjYigY+l5HI5tFqtxdsQGSMuLg41NTUYGBgw/J2HhwciIyNRVlZm1nuFhIRg2bJlOHDgAORyuVmvzRTOzs5YunQp1q9fj9u3b2PXrl1oa2sb9XOUSiWkUukzZwqfxufzERISgrS0NHAFzuBMcL+US1FQDjzpxWiOHoxarQ6B7szaSx+JWCxGdHQ0jh49avFekCOhKAqZmZl4/fXX8f333+PYsWNmfdi0VyTwsVRTUxPCwsIYkejh4uKC0NBQPHz4cMjfZ2RkoKCgwOz3S0xMRGZmJg4cOAC1Wm326zNFaGgotm7diuTkZOzatQvnz583/HsVag3u1EpxqrQZRwoasPdqOTTekVBp6WE/fqq0GXdqpVCoNYbrm3uGlhTqAR6XY3LwY1pVJGMsXLgQWq0WFy9etOk4AgMD8eabb4LH4+Hzzz9Hc3OzTcfDdGSPj6UuXLgAgUCAOXPm2HooAIA7d+6goaEBr7zyiuHvaJrGRx99hDVr1pj9nCFN0zhx4gSUSiXWrl3LiAcAS+rt7cWFCxdw92EDfBKmo0HlBK2ONlRX6VcqoVCq4CR0gZuQh16VBgIuZ9T6mA1ShdmzMM2ZJcoWCoUCubm5mDt3LkQika2Hg7KyMpw9exazZs3C9OnTR/3dYGsB8Ymy33+ZnWtqasKsWbNsPQyD+Ph4XLp0CVqt1pA1SFEUxGIxCgoKsHz5crPej6IoLFu2DHv37sWlS5esVkTYVtzc3BCd8QLOy8pRUFwNLxc+4qdMhrPzDwHG3QmtMiVKGrug1ugg4HGRFub5TAAaXB9zVXqYYYZmrrq1M6P9cLO605AZbSzlgBY0TWNmDPsSNFxcXLB+/Xrs2rULvr6+CAuzbeBOTk5GaGgojh49itraWqxYseKZSkBjFhAvZnYB8YkiS50spNPp0NzczIjEFj13d3f4+/ujpqZmyN9PnToV9+7ds0gCAI/Hw9q1a3Hv3j0UFxeb/fpMoq+uEhHog7nTpsLP2wtFRUV49OgRdFrtD0GvG64CHvzdhXAVcFHSKEOrrH/IdfT1Mb1dBThY0IAgDyE6+0xbLu7oVWNa1NC6tUGeQmycFom2HpVh728s+kowG6dFMu6srLECAgKwYsUKHD58mBF7z97e3ti8eTP8/f3x+eefo7a21vAxSUM3PrxQhdu1Uvi6ChDq7YJADyH83Z0Q6CFEqLcLfF0FuFkjxYcXqiBp6LbdP8RCyFInC7W2tuLw4cP46U9/auuhDHHjxg00tXYgUvTckKWT8oIbmBEfhtkzp1nkvh0dHdi5cydWr16NSZMmWeQetjRSdRWVUomHD6sh7elDn1sY3IT8ITM3jVaH/gEdZsT4ws3p2cUd5YAWTV39AAWEejmPe4Ym7VPhVwvihw1WbK+KZKrvvvsOlZWV2LRpk9XaUI3l4cOHOHHiBMRiMbxj0uyiVONEkcDHQkVFRairq8PKlSttPRSDFpkSVysf41plM5xdXIcsnXR1y/G4uRGbljyHmTH+Flk6qampQV5enl0UtH7aWPtmRTWt6OzXwd352calvcoBhHq7ICF4+ISRFpkSwV5OqOvsH9ebYe3jTkiOfITpU0KQlZWF2NhYhIWFDVmFYHNVJFPRNI28vDxwOBysXLmSMXvPvb29OHvlBm73+8PHzbjvsx7TC4ibggQ+FjKlELEljVnZn6Zx49ZtBETEwMXF1WJP94WFhcjPz7ergtZjVVcZ0Opw9X47XPhccDjPvsnqdDQUai3mxPmDP8Ksq7NPjZVpocgrajR6hrYhKwJf/u/vceXKFYSGhsLZ2RnBwcH44x//+EzncDZWRZqIgYEB7NixA8nJyYyqMuSIiUcjsb+fOgfQ1NQEsVhs62EAMLKyP0UhLDQEfbIOePt7W6z3mlgsRkdHBw4fPowf/ehHdlHQurxJPmrySbtcBZ2OHjboAQCH82TW3d6jRIjXs9mb+uQWDkXhlwvixpyhTY/+5wxNuHUrmpqaIJPJIJVK8Ytf/OKZoAeM3YPR3vD5fKxbtw7btm1DQECAxZsPG0Oh1hj29Ezh5ybArVopFiYF2cXDCkluYRm1Wg2pVMqI5qwtMiX23aozaoksKCgIHZ0d4EGHAHcn7LtVh1a5+RNeXnrpJQgEApw+fdroiidM1tqjHDXjsletGTHo6XE4FHqVIyea6KuvBHoIsXJqGH67LBFrMyLwfKwf0iO88HysH9ZmROC3yxKxcmqYYcYQFxeHhIQECIVCzJo1C7dv30Zra6tp/1A74+npiTVr1uD48eNob2+39XDGfIAai/4BqbzJ9ok75kACH8s0NzcjMDCQEbOZ/JoOcDiUUfsFfD4fvj6+aGlthZDPBUVRyK/uMPuYOBwOVq1ahebmZty4ccPs17e2frV21OoqGq0OY+0icShAM0plkcHVV4B/ztCWpYYgRxyOZakhyHwqexN4cqRk9erVmDdvHn73u99h9uzZ2L17Nymd9YPw8HC8+OKLOHDgAPr7+8f+BAsa6wHKGIPL07EdCXws09TUxIhjDKYsnYSEBD+pKEHThqWTwZVEzEUgEGD9+vW4ceMGKisrzX59axqrugqPy8FY81odDfBGaVw6kfqYCQkJePfdd8Hj8SASifD666/j2rVrOHXqFDQa839v2Wbq1KmYMmWKTcuaAWM/QBnj6QckNiOBj2X0pcpszZSlE09PT1CgIJPJLL504unpaRcFrceqf+km4EGnGz306XQ03IQjBzZz1scMDAzEW2+9hb6+PuzcuRPd3d1muS6bLViwAMCTaku24kgFxI1BAh/DPV1z8Uq1DG20u0VmSuNh0tIJRSE4JBjNzU8CkaWXTkJDQ1lf0Hqs+pf+Hk5PElhGCH46HQ0ORcF/hMBmifqYTk5OWLNmDZKSkrBt27Znarg6Gg6Hg5ycHFRVVdms0IKjFRAfC/vTc+zUSCWFeGEpOFvVjQsP5TYtKWTq0klQYCAePXqEgYEBqyydJCYmorOzEwcOHMAbb7wxbNYhk7kIeMiK8hkxDZ3P5SDUyxlN3f3DHlJXqDUI9XYZ9igD8KT6yvToZ/fvJoqiKMycOdNQOkssFmPOnDmMOddmbc7OzoayZn5+fggPt26/waRQD/CKzVuejs3IjI+BRispFBXsw4iSQqYunfD4fPj5+aGlpcVqSyezZs1CQEAAvvrqK1Zmes6M9oNOR4/4kBDu7QL6hxqLg2m0OtCgEO4zfBFqa9THjIyMxNtvv43a2lrs27cPCoXCYvdiOn9/f0NZM5lMZtV76x+gzFmejs1I4GMY/bk4b1cBAj2EIz6dDa65uOvGI6sHv4ksnYQEP0ly0Vhp6YSiKLz88stQKBS4dOmSxe9nbmPVv3QT8pAa6oU+tdbwPdFodehTaUFJ6yHvbIP6qR5t1qyP6ebmhtdffx2BgYH44osv0NTUZNH7MdmUKVMwffp0HDx4cEj/SmsY6wFqJGwuID4SEvgYZDzn4vSEfK5Fz8WNZCK91zw8PACKi/6+XqstnegLWpeXl7OyoLUo3AubZkxCV58aLTLlM1/3QE8h0sK80KfWoL1HiT61FmnhnuhuqcOpU6dw6vRpfHvpW5Tdq0BjZy+6+tRWrb/I4XDw0ksvYeHChdi/fz8KCgpYOfs2h5kzZ8Lf3x8nTpyw6tfAUQuID4cEPgYZz7m4wSx5Lm4kE1o6oSi4+ATCQ9lq1aUTFxcXbNy4ERcvXsSjR4+sdl9zEYV74ZcL4jA9+snXvalLgRa5Eu09KrTIldDodIgLdMeMaF/EBbpDo6MxOTUDTp5+kKmBx3IVqhvbkDXpyXVsUXQ4ISEBmzdvxp07d3D8+HGrz3qYQL8CIZVK8f3331v13mM9QOlptDq0yJRWf0CyFlKrkyHGqsk4Fn3Nxd8uS7RaMBmpa8BYlANadPT0w+Xht/jgZ+/Azc3NgqN8Vk1NDY4dO4Y33niDtQWtx6p/qf94o1SObbv2Qq3oRWdjDT789/cxd9YMWw8fAwMDOHXqFFpaWrBmzRrWfh8mQi6XIzc3F8uWLUNcXJzh763RHNYRC4gPRgIfQ9yplZq9G7Y1GFWrc5DBbU7qiq/B29sbzz//vBVGOlRBQQFu3LhhVwWtR3Lo0CF8/fXX2LJlCwoLCzF//nxMnTrV1sMCTdMoLCzE5cuXsWzZMiQkJNh6SFbX2NiI/fv3Y9OmTdA5eYzeHJZr/uawjlZAXI8EPoY4VdqM7x92TOjpqkWuxPOxfliWGmLGkY3N1N5rzc3NOHz4MN577z2bpLmfO3cOLS0tdlPQeiQymQytra2YMmUKOjo6sG/fPqSkpOCFF15gxPGCpqYmHDlyBImJiXjxxRfBGaXKjD0qLS3F1buP0OAUOXKHE9hn/0JbcayfMAZjc0mhsfaemroU6Ox7cl5s8N5SSEgIXFxcUF1dbfUxA08KWvP5fLspaD0ST09PTJkyBQDg5+eHrVu3oqamBl999RUjyoqFhobirbfeQltbG3bv3o2enh5bD8mqaO8I1PAjGJ/JbU/IjI8h2DzjG2y8SyeFhYV48OAB1q1bZ4PRAiqVCjt27IBIJMLMmTNtMgZbGBgYwLFjx9Df34+1a9cyYrmXpmlcu3YNBQUFyMnJQWRkpK2HZHET2Se3t+aw1kRmfAxhLyWFjK3sr5eSkoK6ujqblRRzcnLChg0bcOPGDVRVVdlkDLbA5/OxZs0aBAcHY/v27ejq6rL1kEBRFObMmYMVK1bgyJEjyM/Pt+uZOMCuTG57QgIfQ0zkXBzA3pJCAoEAycnJNj1bpy9ofeLECbS0tNhsHNZGURQWLlyIrKws7NixgzEHy2NjY7F161aUl5fj8OHDUCrtoxXO08zVHNbWdXvZiAQ+hnDkkkJisRiFhYU2bdsSGhqKpUuX4sCBAw63x5SVlYVly5Zh3759jGnj5OXlhTfeeANubm7Izc21ywa3pDms7ZDAxyCOWlIoKCgIHh4eePDggU3HkZSUBLFYjAMHDjjcweq4uDj86Ec/wunTp3Hz5k1bDwfAk2o7S5cutdsGt6Q5rO2QwMcgjlxSKCMjA4WFhbYeBp5//nn4+/uztqD1RISEhBjO+n3zzTc2nYEPZq8Nbtmcyc12JPAxjKOWFEpKSkJDQwNaO7uH9B88VdqMO1bcx9CXk+rt7cW3335rlXsyiZeXF7Zs2YLW1lYcPnyYMTNfe2xwS5rD2g45zsBQjlZSqEWmxNe3q3C/mwYNWKVqxWj6+vqwbds2zJkzB2lpaRa/H9NotVqcPHkSHR0dWL9+vdXLyo2EpmncuHED+fn5yM7ORmxsrK2HZDK2VmuyByTwMZwjlBTSV35hWtWK9vZ27Nq1C2vWrHGIM2VPo2kaV69ehUQiwcaNG+Hnx5w95Lq6OtY3uGVjfV57QQIfYVMTqfVpjeBXXV2Nr776Cps3b4aPj2M+VZeUlODChQtYvXo1Jk2aZOvhGPT09ODo0aPg8/l45ZVX4OJi+szJVo4VN+J2rdSkVZsWmRLTo32wcmqYBUZm38geH2EzbOg/GBMTg7lz52L//v3o7++3+P2YKC0tDatWrcKRI0dw9+5dWw/HwN3dnfUNbh01k9vWSOAjbIYtVSsyMjIQGxuLI0eOQKt1zAy66OhovP7667h48SKuXbvGmIxXtje4deRMblsiS52ETbBtf0On0+HgwYNwd3fHsmXLWLmnZA49PT3Yv38/goODsXTpUkZ1tejs7MThw4cRFBSEZcuWgc/n23pIRjO1wwlhGhL4CJtgY0abvqB1WloaZsywfTNXW1Gr1Th69Ci0Wi3WrFkDJycnWw/JgM0NbsfK5O7r7cGLqZMwa7I/melNEAl8hE2wtRuFTCbDtm3bnuma7Wh0Oh3Onj2L+vp6bNy4ER4ezKkRy/YGtyNlcn/w9gYsX7II7777Lng8ksU5ESTwETZxpKABxQ3d8Hc3fbbQ3qNCeoQXcsThZhzZ2PRds1977TUEBQVZ9d5Moj9Td/PmTWzYsIFxXwt7anCr1Wrx8ssvo6+vD9nZ2Xj77bdZmcXKFOz9SSBYjc1VK8LCwhy2oPVgFEVh5syZWLhwIfbu3WvzWqtPs6cGt0qlEn5+fuDxeCgqKsL/+3//zy6q19gKCXyETbC9/6AjF7R+WlJSkqGtExPqrQ7m4uKCjRs3Ijo6Gl988QXq6upsPSST9Pf3g8PhgM/no729HcCT6kKEaUjgI2zCHvoPPv/88/Dz83PIgtZPCw8Px+bNm5Gfn4+LFy8y6uthDw1uNRoNXFxcMH/+fEydOhX/+Z//idDQUFsPi7XIHh9hM/ZQtUKj0WDPnj2IjIzE/PnzbToWJlAoFDhw4AA8PT2RnZ3NuCSM7u5uHDlyBB4eHlixYgWEQnZkR9I0DaVSCWdnZ+zatQuZmZlISkqy9bBYi8z4CJuxh6oVPB4Pa9euRVlZmd31izOFi4sLXn/9ddA0jT179kChUNh6SEOwtcEtRVFwdnYG8KRx8O3bt208InYjgY+wGXupWuHq6ooNGzbg/PnzrN1DMicej4ecnByEh4dj+/btkEqlth7SEGxvcBsXF4euri60tLTYeiisRZY6CZuzl6oVpKD1swoKCnDlyhWsW7cOYWHMK6as7zsYFRWFRYsWMW5pdiRXr16FXC7Hyy+/bOuhsBIJfAQjjFa1QqUagNCJz4r+g3fu3MGtW7ewdetW1uwfWdqDBw9w/PhxLF26FImJibYezjOUSiVOnDgBuVyO1atXw8vLy9ZDGlNvby/+/ve/47333jMsgRLGI4GPYBRD1Qp5P/YfPoolC1/Cvm2fImf+NGx5/VVbD88oZ8+eRXt7OzZu3MioWpa29PjxYxw4cAAzZszA9OnTGVfrlI0NbvPy8hASEuLQ5fNMRfb4CEZxEfCQGeWDZM8BVJ7djZbbZ4D2ahzYuxv5+fm2Hp5RFi5cCC6XizNnzrAubd5SgoODsWXLFhQXF+Ps2bPQ6SZ2htPc9IfxV69ejRMnTuDKlSuM/95lZWXhzp07jB8nE5HARzDS5cuX4erqim+//RZc7pM2RJ9//jlKSkpsPbQxcTgc5OTkoKGhATdv3rT1cBjD09MTmzdvRkdHBw4dOgS1Wm3rIT0jMjISb731Fmpra7Fv3z7GZaUOFhYWBicnJzx8+NDWQ2EdEvgIxpHL5fj+++/h6+sLnU6HxsZG9Pf3o7e3F7m5uawoPeXk5IQNGzYgPz8fVVVVth4OYwiFQmzcuNFwHo2J30u2NLilKMow6yPGhwQ+gnGKi4vR29uL3t5edHd3o6enB15eXpg7dy5+85vfwN3d3dZDNIqXlxfWrl2LEydOkNTzQbhcLlasWIG4uDhs374dbW1tth7SM9jS4DY5ORmNjY2MOzLCdCS5hWCcrq4utLW14ebNm3Bzc8O0adMglUpRXl6O9evX23p441ZWVoYLFy5g69atrAna1lJaWopz584hJycHUVFRth7OsDo7O3Ho0CEEBwczssHthQsXQNM0FixYYOuhsAaZ8RGM4+3tjbi4OEyaNAne3t4ICwtDbGwsHj16BI1GY+vhjVtycjLS09Nx8OBBhy9o/bTU1FTk5OTg6NGjjD1I7uvri61btwIAtm3bhs7OThuPaKiMjAyUlJSQn61xIIGPYCyhUAilUgngSSmsgIAA1lZGmT17Nnx8fEhB62FERUVh06ZNuHz5Mq5evcrIr49AIEB2djYyMzOxY8cOVFRU2HpIBvqHw7t379p6KKxBAh/BWEKhEP39/Yb/njx5MuN6vhmLoiisWLECPT09uHz5sq2Hwzj+/v7YunUrqqqqcOLECWi146vfag0URSEjIwMbNmzAuXPncP78ecYcy9DX72TiQwMTkcBHMJazs7NhxgewO/ABT2pErlu3Dnfv3mXssp4tubm5YdOmTejv78eXX3455HvPJExscBsTE4OBgQE0NDTYeiisQAIfwViDlzoBICgoCCqVitUZbK6urli/fj3Onz+P+vp6Ww+HcQQCAdauXYuAgADs2LGDsV3GmdbglqIoZGZmkq4NRiKBj2AsZ2fnIUudFEVh8uTJrD+wGxAQgJUrV+Lw4cOsDuKWwuFwsGjRIqSnp2PHjh14/PixrYc0LKY1uE1LS8PDhw8ZMQNlOhL4CMZ6esYHALGxsaxe7tSLjY3F7NmzsX//fsYu6dkSRVGYPn06Fi9ejL179+L+/fu2HtKIYmNjsXXrVpSXl+Pw4cM2+34KhUIkJyejqKjIJvdnExL4CMbSz/gGP0XHxMSgrq7OLlK3s7KyEBMTg8OHDzMymYMJEhISsGHDBpw8eZLRFUqY0uA2MzMTBQUF5OdpDCTwEYzF4/FAUdSQs3tCoRDBwcF49OiR7QZmRvqC1mfPniUZeSMICwvD5s2bcfPmTZw/f56xXycmNLgNDAyEr68vKisrrX5vNiGBj2C0p480AOzP7hxMX9C6vr4et27dsvVwGMvHxwdbtmxBY2Mjjhw5wugZv0gkwuuvv45r167h1KlTVi+6QJJcxkYCH8FoTx9pAP4Z+Jj65D9e+oLW169fZ/Relq25uLjgtddeA4fDwZ49e9DX12frIY0oMDAQb775Jvr6+rBz506rZqfGx8dDKpXabLmVDUjgIxhtuASXgIAAaLVaxpWOmggvLy+sWbMGx48fJ29Yo+DxeFi1ahUmTZqE7du3M/pnQCgUYs2aNUhKSsK2bduslo3M5XKRkZFBZn2jIIGPYLSnjzQA9nOs4Wnh4eFYsmQJ9u/fj97eXlsPh7EoisL8+fPx3HPPYefOnYw+D2mrBrdisRjl5eXP/O4QT5DARzDacDM+wL72+QZLTk7G1KlTceDAAUbvYzGBWCxGdnY2Dh48iPLyclsPZ1TWbnDr5uaGyZMns6Jxsy2QwEcw2nDJLcCTwsYNDQ2M7OI9UXPmzIGPjw+OHz9uN/uYlhIbG4vXXnsN586dw/Xr14f9einUGtypleJUaTOOFDTgVGkz7tRKoVBbN+nE3d0dr732GgICAqzS4FbfpJb8DD2L9OMjGO3y5cugKApz58595mO7d+/G9OnTERcXZ/2BWZhGo8Hu3bsRFRWFefPm2Xo4jCeXy7Fv3z7DcjGHw0GLTIn8mg7crpVCo9WBx+WAQ1HQ0bThv6dF+WBGtB+CPIVWHW9FRQVOnTqFF154AWKxGBRFmf0eNE3jiy++wLx58zB58mSzX5/NSOAjGO3GjRuQyWRYtGjRMx/Lz8+HVCrFsmXLbDAyy+vr60Nubi7mzZuH1NRUWw+H8VQqFQ4fPgwnJyfEzViAfbfqwOFQ8HUVgMd9dnFLo9Who1cNmqaxcVokROFeVh2vNRrcFhcXo6KiAhs2bDD7tdmMLHUSjDZccouevR1reJqrq6uhBQ6TEziYQn8sxDUiEbtuPIK3qwCBHsJhgx4A8LgcBHkK4e0qwK4bjyBp6LbqeK3R4DY5ORmNjY2kJuxTSOAjGG2k5BYA8PPzA0VRaG9vt/KorGdwQeuuri5bD4fx2nsHcLVRiwB3Jwj5XKM+R8jnIsDdCftu1aFVbt06m5ZucMvn8zF16lQUFBSY9bpsRwIfwWgjJbcA/zzWYI/ZnYORgtbGy6/pAIdDGR309IR8LiiKQn51h4VGNjJLN7jNyMhASUkJyRIehAQ+gtGGq9wymD2e5xtOVlYWoqKicOTIkWcKEDMla9HWFGoNbtdK4esqMOnz/dwEuGXDr5ulGtx6e3sjLCwMd+/eNcv17AHP1gMgiNGMNuMDgEmTJuHo0aNQqVRwcnKy4sisb9GiRdi/fz/Onj2LpUuXolWuGj1rsdh2WYu2UN4kN3wdTMHjcqDR6lDeJEdmlI+ZR2ccFxcXbNiwAdeuXcMXX3yBnJwcREZGjvh6hVqD8iY5WnuU6Fdr4SzgItBdiKRQD7gI/vn2npWVhYsXL2Lq1KkWySBlGxL4CEYba8YnEAgQHh6OmpoaJCQkWHFk1qcvaL1jxw6cuVWOq43aMbMWb9ZIcaO60yZZi9bW2qM0OejpcbkctPbYdjmZw+Fg7ty5CAsLw5EjRzBz5kzMmDFjSMAa86jGUw89MTExOHv2LBoaGhAREWHDfx0zkKVOgtH4fD60Wu2oFe4dYZ9PTygUYtriNbhQN8D4rEVr61drwZngbIZLUVAOMKOX3UgNbiUN3fjwQpVhWTfU2wWBHkL4uzsh0EOIUG8X+LoKcLNGig8vVEHS0A2KokjXhkFI4CMYjaIoo/b57PlYw2AtMiUOFTYh0EPIiqxFa3IWcKGb4M+AlqbHnRhjSU83uL1a9sjkoxppaWl4+PCh2fYO2YwEPoLxRjvSADw5D8Xn8x2iqwEbsxatJdBdCI12YtmQWq0Oge7M2g/VN7hNmfY8DtxuMPmohkz95FxfYWGhhUfMfCTwEYw3VoIL4BjLnWzPWrS0pFAPQ4KKKfR7ZUmhHmYemXlI+X7w8vKc0ENPZmYmCgsLn8kMdjQk8BGMN9ZSJ+AYxxrMmbVoj1wEPGRF+aCzz7TC5R29akyL8hmSDckU5nrocff2ha+vLyorK808QnYhgY9gPGNmfJGRkWhpabHr/mP2krVoSTOj/aDT0eNOUFEOaEHTNGbG+FloZBNj1qMaJMmFBD6C+YyZ8fH5fERERKCmpsZKo7I+e8tatIQgTyE2TotEW4/K6H+nckCLth4VNk6LRKAHs/b39Mz50BMfHw+pVOoQe+IjIYGPYLyxklv07H2fzx6zFi1BFO6FTTMmoatPjRaZcsQ9P41WhxaZEl19amyaMYnR5xzN+dDD5XKRkZHh0LM+5i1mE8RThEIhent7x3zd5MmTce3aNdA0bZfVKew1a9ESROFeCPIUIr+6A7d+OOTN5XLApShoaRraH5YNp0f7YGaMH2NnenrmfugRi8X4+9//jhdffBHOzs7mGCKrkMBHMJ6zszM6OsZOw/f29oZQKMTjx48REhJihZFZV1KoB3jFHJP3epietWhugR5CrJwahoVJQYayXsoBLYT84ct6MZm5H3rc3NwwefJklJSUYMaMGeYYIquw47tOODRjklv09Mud9hj49FmLt2ulJs1QOnrVmB7NzKxFS3IR8GxWe9NcLPHQk5WVha+++grTp0+3yxWS0ZA9PoLxjElu0bP3Yw32mrVIjM4SRzXCwsLg5OSE6upqcw2TNUjgIxhvPDO+iIgItLW1QaFQWHhUtmGvWYvE2Mz90ENRFLKyshwyyYUEPoLxjM3qBJ6Ud5o0aZJdP8XaY9YiMTZLPPQkJyejsbERUqnU3MNlNMda7CdYaTxLncA/9/lSUlIsOCrbsresRcI4onAvbMIk7LtVB4qi4Oc2ckuqjl41aJoe9aGHz+cjLS0NBQUFWLBggYVHzxwk8BGM5+TkhIGBAeh0OnA4Yy9STJ48Gd9++63Rr2cre8paJIxn7oeezMxM5Obm4oUXXgCfz7fSv8K2yG8FwXgURcHJyQlKpRIuLi5jvt7T0xNubm5obm5GWFiYFUZoW/aQtUiMjzkfery9vREWFoa7d+8iPT3dwiNnBhL4CFbQJ7gYE/iAfy53OkLgIxyXuR56srKycPHiRUydOtUhjjbY7zoQYVdM2eez52MNBGFOMTExUKvVaGhosPVQrIIEPoIVxpPZCQDh4eHo7Ow0qtQZQTg6/dGGO3fu2HooVkECH8EK4znLBwBcLhdRUVF2fayBIMwpLS0NDx48QE9Pj62HYnEk8BGsMN6lTsD+uzUQhDkJhUIkJyejqKjI1kOxOBL4CFYY74wPAGJjY1FdXQ2dbmLFfQnCUWRmZqKgoABarf32bARI4CNYwpQZn4eHBzw9PdHY2GihURGEfQkMDISPjw8qKyttPRSLIoGPYAVTZnwAWe4kiPFyhPqdJPARrGDKjA94stxJjjUQhPHi4+MhlUrR2tpq66FYDAl8BCuM9ziDXnh4OLq7ux0iU40gzIHL5SIjI8OuZ30k8BGsYOpSJ4fDQXR0NJn1EcQ4iMVilJeXm/SwyQYk8BGsYOpSJ0D2+QhivNzc3DB58mSUlJTYeigWQQIfwQqmzviAJ/t8NTU1dp+iTRDmpE9yoWna1kMxOxL4CFYQCoVQqVQm/RK6ubnBx8fHYeoQEoQ5hIWFwcnJyS6rH5HAR7ACh8OBQCCY0HIn2ecjCOPp63faY5ILCXwEa5ia2Qk8We4k+3wEMT7JyclobGxEV1eXrYdiVqQfH8EaE0lwCQ0NhVTei+8qmyFTA/1qLZwFpFM5QYyGz+cjLS0Nd+7cwYIFC2w9HLMhv+0Ea5ia4NIiUyK/pgMdEXNx/G4b+FwOOBQFHU1Do9WBV8zBtCgfzIj2Q5Cn0AIjJwj2yszMRG5uLl544QXw+XxbD8csSOAjWMOUGZ+koRv7btWBw6EQ4uMOHvfZ1X2NVoebNVLcqO7ExmmREIV7mWnEBMF+3t7eCAsLw927d5Genm7r4ZgF2eMjWGO8Mz5JQzd23XgEb1cBAj2EwwY9AOBxOQjyFMLbVYBdNx5B0tBtphEThH2wt6MNJPARrDGeGV+LTIl9t+oQ4O4EIZ9r1OcI+VwEuDth3606tMrts2IFQZgiJiYGarXabjqdkMBHsMZ4sjrzazrA4VBGBz3DPfhcUBSF/OoOU4ZIEHbJ3o42kMBHsIaxS50KtQa3a6XwdRWYdB8/NwFu1UqhUGtM+nyCsEdpaWl48OCBXRR8J4GPYA1jlzrLm+RPsjVH2NMbC4/LgUarQ3mT3KTPJwh7JBQKkZycjKKiIlsPZcJI4CNYw9gZX2uP0uSgp8flctDaQ/b5CGKwzMxMFBQUsL7uLQl8BGsYO+PrV2vBoagJ3YtLUVAOsPuXmyDMLTAwED4+PqisrLT1UCaEnOMjWMPYGZ+zgAvdBNOutTQ97sQYgnAEWVlZKC4uRtTkOJQ3ydHao2RdJSRmj44gBjE2qzPQXQiNVjehe2m1OgS6kyouBPE0n9BoaNop/N9T9wx76WyrhEQCH8Ea+qVOmqZBjbKUmRTqAV4xx+QEF/3nJYV6TGS4BGF3BldC8nUVsLYSEtnjI1iDy+WCy+VCrVaP+joXAQ9ZUT7o7Bv9dSPp6FVjWpQP45drCMKa7KkSEgl8BKsYm+AyM9oPOh097gQV5YAWNE1jZoyfqUMkCLtjb5WQSOAjWMXYBJcgTyE2TotEW4/K6OCnHNCirUeFjdMiEejBzL0JgrAFe6uERAIfwSrjqdcpCvfCphmT0NWnRotMOWLCi0arQ4tMia4+NTbNmMTIPQmCsBV7rIRENjEIVhlvF3ZRuBeCPIXIr+7ArVopNFoduFwOuBQFLU1D+0Miy/RoH8yM8SMzPYJ4ijkrIWVG+Zh5dKYhgY9gFVOa0QZ6CLFyahgWJgUZzh0pB7QQ8tlz7oggbMUeKyGR33aCFRRqDcqb5OhwiUBHJw9Npc3jDlouAh5jnjgJgi3ssRISCXwEo7XIlMiv6cDtH5YpeVw+OBRQLe9gzWFZgmAze6yERAIfwVj2cliWINjMHishkaxOgpHs6bAsQbBZUqiHIUHFFEyshEQCH8E49nZYliDYzB4rIZHARzCOvR2WJQi2s7dKSCTwEYxij4dlCYLt7K0SEgl8BKOY87AsQRDmY0+VkJiz6EoQsM/DsgRhL+ylEhIJfASj2ONhWYKwJ/ZQCYnZoyMcjj0eliUIe8TmSkhkj49gFHs8LEsQBLOQwEcwij0eliUIgllI4CMYxR4PyxIEwSwk8BGMY2+HZQmCYBYS+AjGsbfDsgRBMAtF0xNMoSMIC9F3Z6AoCn5uI3dn6OhVg6Zp0p2BIAijkMBHMFqrXDnmYdlpUcw+LEsQBLOQwEewgr4DOxsPyxIEwSwk8BEEQRAOhSS3EARBEA6FBD6CIAjCoZDARxAEQTgUEvgIgiAIh0ICH0EQBOFQSOAjCIIgHAoJfARBEIRDIYGPIAiCcCgk8BEEQRAOhQQ+giAIwqGQwEcQBEE4FBL4CIIgCIdCAh9BEAThUEjgIwiCIBwKCXwEQRCEQyGBjyAIgnAoJPARBEEQDoUEPoIgCMKhkMBHEARBOBQS+AiCIAiHQgIfQRAE4VD+P8sxK/xUquZhAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nx.draw(nx.gn_graph(25), alpha=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Graph Algorithms" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "! python3 -m pip install --quiet pydot python-louvain" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Search" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "g = {\n", " 1: [2,3,4],\n", " 2: [5,6],\n", " 3: [],\n", " 4: [7,8],\n", " 5: [9,10],\n", " 6: [],\n", " 7: [11, 12],\n", " 8: [],\n", " 9: [],\n", " 10: [],\n", " 11: [],\n", " 12: []\n", "}" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "G = nx.from_dict_of_lists(g)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "pos = graphviz_layout(G, prog='dot')" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nx.draw(G, pos, with_labels=True, node_size=600, node_color='lightblue')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Depth first search" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[1, 2, 5, 9, 10, 6, 3, 4, 7, 11, 12, 8]" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "list(nx.dfs_tree(G, 1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Breadth first search" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "list(nx.bfs_tree(G, 1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Pathfinding" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "edges = [\n", " ('A', 'B', 8),\n", " ('A', 'C', 5),\n", " ('A', 'D', 1),\n", " ('B', 'C', 6),\n", " ('C', 'D', 3),\n", " ('C', 'E', 2),\n", " ('D', 'E', 4)\n", "]" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "G = nx.Graph()\n", "G.add_weighted_edges_from(edges)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pos = planar_layout(G)\n", "nx.draw(G, \n", " pos, \n", " with_labels=True,\n", " node_size=600, \n", " node_color='lightblue')\n", "labels = nx.draw_networkx_edge_labels(\n", " G, \n", " pos, \n", " edge_labels={(x[0], x[1]): str(x[2]) for x in edges},\n", " font_size=15,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Shortest path" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['A', 'D', 'C']" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.dijkstra_path(G, 'A', 'C')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Single source shortest path" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[{'A': 0, 'D': 1, 'C': 4, 'E': 5, 'B': 8},\n", " {'A': ['A'],\n", " 'B': ['A', 'B'],\n", " 'C': ['A', 'D', 'C'],\n", " 'D': ['A', 'D'],\n", " 'E': ['A', 'D', 'E']}]" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "list(nx.single_source_dijkstra(G, 'A'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### All pairs shortest path" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[('A',\n", " {'A': ['A'],\n", " 'B': ['A', 'B'],\n", " 'C': ['A', 'D', 'C'],\n", " 'D': ['A', 'D'],\n", " 'E': ['A', 'D', 'E']}),\n", " ('B',\n", " {'B': ['B'],\n", " 'A': ['B', 'A'],\n", " 'C': ['B', 'C'],\n", " 'D': ['B', 'C', 'D'],\n", " 'E': ['B', 'C', 'E']}),\n", " ('C',\n", " {'C': ['C'],\n", " 'A': ['C', 'D', 'A'],\n", " 'B': ['C', 'B'],\n", " 'D': ['C', 'D'],\n", " 'E': ['C', 'E']}),\n", " ('D',\n", " {'D': ['D'],\n", " 'A': ['D', 'A'],\n", " 'C': ['D', 'C'],\n", " 'E': ['D', 'E'],\n", " 'B': ['D', 'A', 'B']}),\n", " ('E',\n", " {'E': ['E'],\n", " 'C': ['E', 'C'],\n", " 'D': ['E', 'D'],\n", " 'A': ['E', 'D', 'A'],\n", " 'B': ['E', 'C', 'B']})]" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "list(nx.all_pairs_dijkstra_path(G))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Minimal spanning tree" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "G_min = nx.minimum_spanning_tree(G)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pos = planar_layout(G_min)\n", "nx.draw(G_min, \n", " pos, \n", " with_labels=True,\n", " node_size=600, \n", " node_color='lightblue')\n", "labels = nx.draw_networkx_edge_labels(\n", " G_min, \n", " pos, \n", " edge_labels={(x[0], x[1]): str(x[2]) for x in edges},\n", " font_size=15,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Centrality" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "G = nx.karate_club_graph()" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "pos = nx.kamada_kawai_layout(G)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nx.draw(G, pos)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.viridis()" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "values = nx.degree(G)\n", "n_color = np.asarray([values(n) for n in G.nodes()])\n", "nx.draw(G, pos, node_color=n_color)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function closeness_centrality in module networkx.algorithms.centrality.closeness:\n", "\n", "closeness_centrality(G, u=None, distance=None, wf_improved=True)\n", " Compute closeness centrality for nodes.\n", " \n", " Closeness centrality [1]_ of a node `u` is the reciprocal of the\n", " average shortest path distance to `u` over all `n-1` reachable nodes.\n", " \n", " .. math::\n", " \n", " C(u) = \\frac{n - 1}{\\sum_{v=1}^{n-1} d(v, u)},\n", " \n", " where `d(v, u)` is the shortest-path distance between `v` and `u`,\n", " and `n` is the number of nodes that can reach `u`. Notice that the\n", " closeness distance function computes the incoming distance to `u`\n", " for directed graphs. To use outward distance, act on `G.reverse()`.\n", " \n", " Notice that higher values of closeness indicate higher centrality.\n", " \n", " Wasserman and Faust propose an improved formula for graphs with\n", " more than one connected component. The result is \"a ratio of the\n", " fraction of actors in the group who are reachable, to the average\n", " distance\" from the reachable actors [2]_. You might think this\n", " scale factor is inverted but it is not. As is, nodes from small\n", " components receive a smaller closeness value. Letting `N` denote\n", " the number of nodes in the graph,\n", " \n", " .. math::\n", " \n", " C_{WF}(u) = \\frac{n-1}{N-1} \\frac{n - 1}{\\sum_{v=1}^{n-1} d(v, u)},\n", " \n", " Parameters\n", " ----------\n", " G : graph\n", " A NetworkX graph\n", " \n", " u : node, optional\n", " Return only the value for node u\n", " \n", " distance : edge attribute key, optional (default=None)\n", " Use the specified edge attribute as the edge distance in shortest\n", " path calculations\n", " \n", " wf_improved : bool, optional (default=True)\n", " If True, scale by the fraction of nodes reachable. This gives the\n", " Wasserman and Faust improved formula. For single component graphs\n", " it is the same as the original formula.\n", " \n", " Returns\n", " -------\n", " nodes : dictionary\n", " Dictionary of nodes with closeness centrality as the value.\n", " \n", " See Also\n", " --------\n", " betweenness_centrality, load_centrality, eigenvector_centrality,\n", " degree_centrality, incremental_closeness_centrality\n", " \n", " Notes\n", " -----\n", " The closeness centrality is normalized to `(n-1)/(|G|-1)` where\n", " `n` is the number of nodes in the connected part of graph\n", " containing the node. If the graph is not completely connected,\n", " this algorithm computes the closeness centrality for each\n", " connected part separately scaled by that parts size.\n", " \n", " If the 'distance' keyword is set to an edge attribute key then the\n", " shortest-path length will be computed using Dijkstra's algorithm with\n", " that edge attribute as the edge weight.\n", " \n", " The closeness centrality uses *inward* distance to a node, not outward.\n", " If you want to use outword distances apply the function to `G.reverse()`\n", " \n", " In NetworkX 2.2 and earlier a bug caused Dijkstra's algorithm to use the\n", " outward distance rather than the inward distance. If you use a 'distance'\n", " keyword and a DiGraph, your results will change between v2.2 and v2.3.\n", " \n", " References\n", " ----------\n", " .. [1] Linton C. Freeman: Centrality in networks: I.\n", " Conceptual clarification. Social Networks 1:215-239, 1979.\n", " http://leonidzhukov.ru/hse/2013/socialnetworks/papers/freeman79-centrality.pdf\n", " .. [2] pg. 201 of Wasserman, S. and Faust, K.,\n", " Social Network Analysis: Methods and Applications, 1994,\n", " Cambridge University Press.\n", "\n" ] } ], "source": [ "help(nx.closeness_centrality)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "values = nx.closeness_centrality(G)\n", "n_color = np.asarray([values[n] for n in G.nodes()])\n", "nx.draw(G, pos, node_color=n_color)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function pagerank in module networkx.algorithms.link_analysis.pagerank_alg:\n", "\n", "pagerank(G, alpha=0.85, personalization=None, max_iter=100, tol=1e-06, nstart=None, weight='weight', dangling=None)\n", " Returns the PageRank of the nodes in the graph.\n", " \n", " PageRank computes a ranking of the nodes in the graph G based on\n", " the structure of the incoming links. It was originally designed as\n", " an algorithm to rank web pages.\n", " \n", " Parameters\n", " ----------\n", " G : graph\n", " A NetworkX graph. Undirected graphs will be converted to a directed\n", " graph with two directed edges for each undirected edge.\n", " \n", " alpha : float, optional\n", " Damping parameter for PageRank, default=0.85.\n", " \n", " personalization: dict, optional\n", " The \"personalization vector\" consisting of a dictionary with a\n", " key some subset of graph nodes and personalization value each of those.\n", " At least one personalization value must be non-zero.\n", " If not specfiied, a nodes personalization value will be zero.\n", " By default, a uniform distribution is used.\n", " \n", " max_iter : integer, optional\n", " Maximum number of iterations in power method eigenvalue solver.\n", " \n", " tol : float, optional\n", " Error tolerance used to check convergence in power method solver.\n", " \n", " nstart : dictionary, optional\n", " Starting value of PageRank iteration for each node.\n", " \n", " weight : key, optional\n", " Edge data key to use as weight. If None weights are set to 1.\n", " \n", " dangling: dict, optional\n", " The outedges to be assigned to any \"dangling\" nodes, i.e., nodes without\n", " any outedges. The dict key is the node the outedge points to and the dict\n", " value is the weight of that outedge. By default, dangling nodes are given\n", " outedges according to the personalization vector (uniform if not\n", " specified). This must be selected to result in an irreducible transition\n", " matrix (see notes under google_matrix). It may be common to have the\n", " dangling dict to be the same as the personalization dict.\n", " \n", " Returns\n", " -------\n", " pagerank : dictionary\n", " Dictionary of nodes with PageRank as value\n", " \n", " Examples\n", " --------\n", " >>> G = nx.DiGraph(nx.path_graph(4))\n", " >>> pr = nx.pagerank(G, alpha=0.9)\n", " \n", " Notes\n", " -----\n", " The eigenvector calculation is done by the power iteration method\n", " and has no guarantee of convergence. The iteration will stop after\n", " an error tolerance of ``len(G) * tol`` has been reached. If the\n", " number of iterations exceed `max_iter`, a\n", " :exc:`networkx.exception.PowerIterationFailedConvergence` exception\n", " is raised.\n", " \n", " The PageRank algorithm was designed for directed graphs but this\n", " algorithm does not check if the input graph is directed and will\n", " execute on undirected graphs by converting each edge in the\n", " directed graph to two edges.\n", " \n", " See Also\n", " --------\n", " pagerank_numpy, pagerank_scipy, google_matrix\n", " \n", " Raises\n", " ------\n", " PowerIterationFailedConvergence\n", " If the algorithm fails to converge to the specified tolerance\n", " within the specified number of iterations of the power iteration\n", " method.\n", " \n", " References\n", " ----------\n", " .. [1] A. Langville and C. Meyer,\n", " \"A survey of eigenvector methods of web information retrieval.\"\n", " http://citeseer.ist.psu.edu/713792.html\n", " .. [2] Page, Lawrence; Brin, Sergey; Motwani, Rajeev and Winograd, Terry,\n", " The PageRank citation ranking: Bringing order to the Web. 1999\n", " http://dbpubs.stanford.edu:8090/pub/showDoc.Fulltext?lang=en&doc=1999-66&format=pdf\n", "\n" ] } ], "source": [ "help(nx.pagerank)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "values = nx.pagerank(G)\n", "n_color = np.asarray([values[n] for n in G.nodes()])\n", "nx.draw(G, pos, node_color=n_color)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Community Detection" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Triangles" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function triangles in module networkx.algorithms.cluster:\n", "\n", "triangles(G, nodes=None)\n", " Compute the number of triangles.\n", " \n", " Finds the number of triangles that include a node as one vertex.\n", " \n", " Parameters\n", " ----------\n", " G : graph\n", " A networkx graph\n", " nodes : container of nodes, optional (default= all nodes in G)\n", " Compute triangles for nodes in this container.\n", " \n", " Returns\n", " -------\n", " out : dictionary\n", " Number of triangles keyed by node label.\n", " \n", " Examples\n", " --------\n", " >>> G = nx.complete_graph(5)\n", " >>> print(nx.triangles(G, 0))\n", " 6\n", " >>> print(nx.triangles(G))\n", " {0: 6, 1: 6, 2: 6, 3: 6, 4: 6}\n", " >>> print(list(nx.triangles(G, (0, 1)).values()))\n", " [6, 6]\n", " \n", " Notes\n", " -----\n", " When computing triangles for the entire graph each triangle is counted\n", " three times, once at each node. Self loops are ignored.\n", "\n" ] } ], "source": [ "help(nx.triangles)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "values = nx.triangles(G)\n", "n_color = np.asarray([values[n] for n in G.nodes()])\n", "nx.draw(G, pos, node_color=n_color)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Clustering coefficient" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function clustering in module networkx.algorithms.cluster:\n", "\n", "clustering(G, nodes=None, weight=None)\n", " Compute the clustering coefficient for nodes.\n", " \n", " For unweighted graphs, the clustering of a node :math:`u`\n", " is the fraction of possible triangles through that node that exist,\n", " \n", " .. math::\n", " \n", " c_u = \\frac{2 T(u)}{deg(u)(deg(u)-1)},\n", " \n", " where :math:`T(u)` is the number of triangles through node :math:`u` and\n", " :math:`deg(u)` is the degree of :math:`u`.\n", " \n", " For weighted graphs, there are several ways to define clustering [1]_.\n", " the one used here is defined\n", " as the geometric average of the subgraph edge weights [2]_,\n", " \n", " .. math::\n", " \n", " c_u = \\frac{1}{deg(u)(deg(u)-1))}\n", " \\sum_{vw} (\\hat{w}_{uv} \\hat{w}_{uw} \\hat{w}_{vw})^{1/3}.\n", " \n", " The edge weights :math:`\\hat{w}_{uv}` are normalized by the maximum weight\n", " in the network :math:`\\hat{w}_{uv} = w_{uv}/\\max(w)`.\n", " \n", " The value of :math:`c_u` is assigned to 0 if :math:`deg(u) < 2`.\n", " \n", " For directed graphs, the clustering is similarly defined as the fraction\n", " of all possible directed triangles or geometric average of the subgraph\n", " edge weights for unweighted and weighted directed graph respectively [3]_.\n", " \n", " .. math::\n", " \n", " c_u = \\frac{1}{deg^{tot}(u)(deg^{tot}(u)-1) - 2deg^{\\leftrightarrow}(u)}\n", " T(u),\n", " \n", " where :math:`T(u)` is the number of directed triangles through node\n", " :math:`u`, :math:`deg^{tot}(u)` is the sum of in degree and out degree of\n", " :math:`u` and :math:`deg^{\\leftrightarrow}(u)` is the reciprocal degree of\n", " :math:`u`.\n", " \n", " Parameters\n", " ----------\n", " G : graph\n", " \n", " nodes : container of nodes, optional (default=all nodes in G)\n", " Compute clustering for nodes in this container.\n", " \n", " weight : string or None, optional (default=None)\n", " The edge attribute that holds the numerical value used as a weight.\n", " If None, then each edge has weight 1.\n", " \n", " Returns\n", " -------\n", " out : float, or dictionary\n", " Clustering coefficient at specified nodes\n", " \n", " Examples\n", " --------\n", " >>> G = nx.complete_graph(5)\n", " >>> print(nx.clustering(G, 0))\n", " 1.0\n", " >>> print(nx.clustering(G))\n", " {0: 1.0, 1: 1.0, 2: 1.0, 3: 1.0, 4: 1.0}\n", " \n", " Notes\n", " -----\n", " Self loops are ignored.\n", " \n", " References\n", " ----------\n", " .. [1] Generalizations of the clustering coefficient to weighted\n", " complex networks by J. Saramäki, M. Kivelä, J.-P. Onnela,\n", " K. Kaski, and J. Kertész, Physical Review E, 75 027105 (2007).\n", " http://jponnela.com/web_documents/a9.pdf\n", " .. [2] Intensity and coherence of motifs in weighted complex\n", " networks by J. P. Onnela, J. Saramäki, J. Kertész, and K. Kaski,\n", " Physical Review E, 71(6), 065103 (2005).\n", " .. [3] Clustering in complex directed networks by G. Fagiolo,\n", " Physical Review E, 76(2), 026107 (2007).\n", "\n" ] } ], "source": [ "help(nx.clustering)" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "values = nx.clustering(G)\n", "n_color = np.asarray([values[n] for n in G.nodes()])\n", "nx.draw(G, pos, node_color=n_color)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "import matplotlib.colors as mcolors" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": [ "colors = list(mcolors.BASE_COLORS.keys())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Label propagation" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function label_propagation_communities in module networkx.algorithms.community.label_propagation:\n", "\n", "label_propagation_communities(G)\n", " Generates community sets determined by label propagation\n", " \n", " Finds communities in `G` using a semi-synchronous label propagation\n", " method[1]_. This method combines the advantages of both the synchronous\n", " and asynchronous models. Not implemented for directed graphs.\n", " \n", " Parameters\n", " ----------\n", " G : graph\n", " An undirected NetworkX graph.\n", " \n", " Yields\n", " ------\n", " communities : generator\n", " Yields sets of the nodes in each community.\n", " \n", " Raises\n", " ------\n", " NetworkXNotImplemented\n", " If the graph is directed\n", " \n", " References\n", " ----------\n", " .. [1] Cordasco, G., & Gargano, L. (2010, December). Community detection\n", " via semi-synchronous label propagation algorithms. In Business\n", " Applications of Social Network Analysis (BASNA), 2010 IEEE International\n", " Workshop on (pp. 1-8). IEEE.\n", "\n" ] } ], "source": [ "help(nx.community.label_propagation_communities)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "image/png": 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MQK5YBG0eHx/i4rC4X3+4O7QuFcErCqlUigcPHsiEMDg4GEZGRjIhVHcLRVGIRCJMnDgRDx48wBbfA5hx/SoyBQJISridMMgPjNk9YDDaVrNVeLy8vDxcunQJAQEBOHXqFGxtbeHq6gpXV1c0a9aMK3PEoRSc8HHIoTmP73vwTJao388XgouLCzw9PdGtW7dytYOIEB0dLVsjDAoKgkQiUXkLRWGkpaVhyJAhMDExga+vLwwNDZGckw2vkCs49+IZeJAgTyq/v0+XJwEBcK78Dj+3TELdajPB6DqpNL5EIkFoaKhsXZBhGJkIdujQoUJlt+GomHDCxyEHm/UHkLMH6q/xLQJj4KYpsyo88+bNg6WlJRYtWlTepshBRIiNjZWtEQYHB+P9+/dwdnaWiWHLli2hreBG9JcvX6Jv377o06cP1q1bJxMZkiaBUt2RlZcC/9e1EPC6AdJFemCJgbGOEL1sX2FknSew1v+4RUYPMF4MnqF63xEiwsOHDxEYGIjAwEDExcWhf//+cHV1Rffu3StsRCxH+cIJH4ccJHkL+tAb8qnJlEUXjM3NryaqUxEOHz4MPz8/BAQElLcpJZKYmCgTwevXryu8hSI0NBRDhgyBp6cnJk+eLHud2GxQiisgjQegzLYPPcB0jUYTHsTGxsqCY+7evYuuXbvKgmMsLLi0aBz5cMLHUQA2xR0Qh6vUViwmRL+ujwZt/KGnp6dhyyour169gouLC96+/fIqMXzcQvFxjfDRo0cFtlCcPXsWM2bMwD///IPevXvLtWczFgF5p6DaFhg9MDbXwPA0L0opKSk4ffo0AgMDcfnyZbRp00YWHFOjRg2Nj8fx5cAJH0cBSHgTlDYRiqUrk4clXcz5zRan/32KdevWYfDgwd9E4AERwdraGg8ePEDVqlXL2xy1+HQLxcfIUSLC8OHDMWTIELktFMRmgZLbQ/UZAj3AaDJ4RpNLPlUNcnNzcfHiRQQGBuLUqVOoWbOmbF2wSZMm38R3lOP/cMLHUShstjeQswMgZdKW6QEmv4FnMBBXrlzB7NmzYWZmho0bN8LBwaHUbK0o9O7dG5MmTcLAgQPL2xSN8DFyMyIiAsuWLcOTJ08QHByMGzduoFq1anBxccH4kTpwqH8NPEb5hyQZjAUYmxtgmLIJSpFIJLhx4wYCAgIQGBgILS0tmQg6OTmVSnAMkQAQnMtPB8imAYwewK8ORt8VjFZdjY/HUTyc8HEUChGBcv4Gsr1Rcs5OHgAdwGQZeAaDZa9KpVLs3r0bnp6e6Nu3L1atWoXKlSuXptnliqenJ1iWxcqVK8vbFLUpLHLzI1KpFJGRkQgODsbgTrthW0XN6gqMIRjzv8HotFHTauUhIkRGRsqCY969e4cBAwbA1dUV3bp1U3u6nqQJoJxdQJ7/fy/kfvKuFgA+oFUfjNFEQLc753mWEZzwcRQLicJB2dsB0a3/Xvl0HUcPAAG634ExmgRGu1GhfWRkZGDVqlXYs2cP5s6di9mzZ3+V63+nT5/Gli1bcP78+fI2RS2KitwsDDapDUBq1uVjDMGYrARTAap6xMTEyIJj7t+/j+7du8PV1RV9+/aFubm5Un2R6B4o7UeABABKyPjD6OcLn+kaMIx6pZ44SoYTvgoOiZ+CcvcBwlCAsgHwAZ45oD8YjMFwMDzl/hhVtkOaCMrzByQvADYL4JnmV2A3GKywDS9evMCCBQtw//59rFu3DkOGDPmqnnCTkpLQsGFDpKSkfLHXVVTkZlGwSS0+82KURyjSwq3H3ZEl7oZKlSqhcuXKqFSpEnTLMBFAYXz48AGnTp1CYGAgrl69CkdHR1lwjK1t8ZvvSfwAlOIB5Sqc6AG6ncGYbfpivz9fCpzwVVBIFA7KXAlIYpC/p+7zMHE9ACyg2xWMyVIw/C8nj+HVq1cxe/ZsmJiYYOPGjWjZsmV5m6QxatSogStXrqBevXrlbYrS+Pn5FRm5WRRscnuA/aDWuAKhFnYdscP5axIkJSUhMTERycnJMDAwkIngx+PTnz/9f2mLZE5ODi5cuIDAwECcPn0aderUka0LNmrUSE6oiM0Bve8EUKYKI+kDxrPBM/xBY7ZzFIQTvgoIm3sCyFwKxaIqtQCeGRgLXzBatUvbNI0hlUqxZ88eeHp6onfv3li1ahWqVKlS3mapzdChQzFkyBCMHDmyvE1RGCLC6tWrsWPHDpw6dQrNmzdXuC2bNhUQXgKUytT5ObpgrC+A4f//909ESEtLQ2JiIpKSkmRHYT8XJpLFCaa6IikWixESEiJbF9TR0ZGVVXJ0dAQjOAxk/Q5ARU+YZwnGOqTMgn2+RTjhq2CQ4CoofSaU20rAADwLMJYnwfDLL1O/KmRkZGD16tXYvXv3V7H+t3btWiQmJmLDhg3lbYpCfJpz89SpU0pvxSDRXVDqOChftPgTdJzAs/hH5eaKiOTH/ycnJ8PQ0FAhL1IRkSQi3L9/XyaCycnJeHDVBlbm6kS5GoIx2wBGt7PqfXAUCyd8FYj8KZIOKq6ZaAE67cGz2KVxu8qCly9fYsGCBbh37x5+//13DB069Itc57hy5Qo8PT0REhJS3qaUSHGRm4py9+4d2PBHo1plVQoTAWAMwJhtBaPrrFp7JSlMJIsSzM9Fsjgv8qNIvo05Ayut+dDRVq1GoQw1HwY4iocTvgoEm3MIyFoLladIoAPG+hIY/pe7ZeDatWuYNWsWjI2NsXHjRrRq1aq8TVKKjIwMVKtWDenp6RW6krgykZuF8f79eyxZsgQnT56Ez64x6Nr6Xyif8EAb0KoHxjIADKN60uzSgmVZpKWllTjV+qlI/jjaBr/OAQz01byt8iqDZxOsmQvhKEDF/cv8xiAiIHcnVBe9//rJPQTGeLZmjCoHOnfujLt372Lv3r3o16/fF7f+Z2pqiurVqyMqKkqptbKyRNnIzU+RSCT466+/sGLFCri7uyM6OhpmZmZgs2sD2duh+JSndv5alsXeCil6AMDj8WBpaQlLS0s0alT4Vp2PfBRJYfo+6Oqqm+QdSiaO4FCWivmN+xaRPAfYFDU7EQF5RzViTnnC5/Px448/4unTp7CxsUHTpk2xevVq5OV9GTeDNm3aIDxctVynpY2fnx9cXV2xZ88epUXv6tWrcHBwQGBgIK5du4aNGzfCzMwMAPJTjhnPB6ALQKf4jhgDQKsuGKvAUsnRWR58FMnKVeqAYTTgTzBcVYnShBO+igKbDI044Kyam4krECYmJvDy8sLt27dx7949NGzYEEeOHEFFn52viMJHRFi1ahUWLFiAixcvKrxdAQDevHmD4cOHY+zYsVi+fDkuXbqExo0bFziPZzgajPW/gOEYgDHKP6APQA9gDAHoAtqtwZhuyJ/e/ApETywW4/bt29iwYQOGDRuG/q7TkZur3qwNAOALitD+EuHW+CoIJLgCypj33yZ1dWDAVIr+IgNDSuLatWuYPXs2DA0NsXHjRrRu3bq8TSqUW7duYdKkSbh//355mwJA9cjNvLw8rFu3Dps2bcKMGTMwf/58GBgYKNSWSASIQgHpBwAigDEBtJuB0fqyqyKkpqbi5s2buHHjBkJDQ3Hnzh3UqVMHHTp0QIcOHdC+vRNqGf0IsPGqD8JFdZY6nPBVEEgUDkqbBFCWWv1IWV3wK0eqVWG7IiOVSrFv3z4sXboUPXv2xKpVqypcNQSBQAALCwukpKSUeyFUVSI3iQiBgYGYM2cOWrVqhT/++AM1a9YsA2srFkSEFy9e4MaNG7IjLi4Obdu2lQmdo6OjbLr3I2zOQW4fXwWHE75iIEksIH2bv9DMGAFadcDwbUpnLDYTlNwB6hWABW5HAL1H5lfY/lhPrVWrVgpX2P5SyMzMxJo1a7Bz507Mnj0bc+bMKXeR+ZRWrVph69atcHJyKjcbXr16hT59+igVufnkyRPMmDED7969w+bNm9G1a9cysLRiIBQKcffuXZnIhYaGQldXVyZyHTp0QLNmzUqM1uUyt1R8OOH7DCIRILgAytmZny6M0UZ+VgoGICGg4wjG8EdAp53GpxPZ9LmA4AwAFfdEwQCM+UYkpdkjJCREVk/t5cuXcHR0lAmho6OjwlNWFZ1Xr15hwYIFuHPnDtauXYvhw4dXiGneyZMnw97eHjNnziyX8ZWN3MzIyMDy5cvh4+ODX375BVOmTPnqHpY+5/379zKBu3HjBiIiImBvb4/27dvLhK569eoq9c3l6qzYcML3CSR+BEodD0AEUE7RJzIGAL8aGPN9Gs2UQuIoUMpIqFIANt8uSzA2BadIPlbYvn79OoKDg/HgwQNZhW0XFxe0b98epqam6l9AORIUFITZs2fDwMAAGzZsQJs2ZV/i5lP27NmDK1eu4MCBA2U+tjI5N1mWxb59+7BkyRL069cPq1atgo1N6cxqlCcsyyI6OlpO6JKTk9GuXTuZ0Dk6OsLIyEhjYypfnaEHGNPVXHWGMoATvv8g0Z3/RE/RJzQtgGeaH52mwQ3jbOp4QHQbyk55CoQMyMgThpbuJZ77aYXt69ev4/bt26hfv75MCDt27CirsP0lIZVK8c8//+CXX35B9+7dsWbNmnJb/3v48CGGDh2Kp0+fltmYyubcvHXrFqZPnw4+n48tW7ZU2GAhVcjNzUV4eLhM6G7evAlTU9NPglDao3HjxqVSdPZT8uvx7Qbyjv33QiH1+LQbgDGcwNXjK0M44QNAkjeglIHFe3mFwgf4VcFYnQajoX03xOaCUocDkteQr31XTBvo40JIJcxf9g6nT59GrVq1lBrz49rGx6nR0NBQVKlSRSaELi4uKk/5lAdZWVlYs2YN/v77b8yaNQtz584t8/U/qVQKMzMzxMXFFQh+KA2UidxMTEzEokWLcP78eXh5eWH06NFffDBUQkKCXBBKVFQUmjRpIid05ZkEgavAXrHghA8Amz4fEJyCamtr+oDxYvAMR2jMHmJzQGmTAcmD/zI4FPUr0gbAA4xmgTEch02bNuH3339HQEAAHB0dVR5fKpXiwYMHMiEMDg6GkZEROnbsKBNCOzu7Cv90GhMTgwULFuD27dtYu3YtRowYUaY2u7i4wNPTE926dSvVcRSN3BSJRNiyZQvWrFmDcePG4ZdffoGJiUmp2lYaSKVSPHr0SDZleePGDWRkZMitzbVu3fqrWcfm0DzfvPBpJJqSXwOM1UWN3lSJCBDfyZ8mEYYAjA5ALMAAsrwDBm5gDNzB8KvJ2p06dQrjxo3DX3/9haFDh2rMlqdPn8oJoUgkkk2Luri4oGnTphXWawgODsasWbOgr6+PjRs3ltn639y5c2FlZYVFixaV2hiKRm5euHABM2fORM2aNbFp0yY0aNCg1GzSNFlZWbh165ZM6MLCwlC5cmU5oWvQoEGF/f5xVDy+eeFjc/YBWRugVlkVRh+M+V4wOqVTUJWk7wHxfYDNzI8y5VkCOm3BMIWnhrp//z4GDBiAqVOnYuHChaXi5cTGxsoJYXJycoXeQiGVSrF//34sWbIE3bt3x+rVq1GtWrWSG6qBn58fDh8+jICAgFLpX5HIzVevXmHOnDl4+PAhNm7ciH79+lV4T/3NmzdyQShPnz6Fg4ODbMqyffv2X+QaNEfFgRO+1B/yM0yoBR+M0SwwRhM1YZJGiI+PR//+/eHg4IC//voLOjol5E9Uk8TExC9iC0VWVha8vLywfft22fpfadn16tUruLi44O3btxrvu6TIzZycHHh5ecHb2xtz587FnDlzKmSdQ4lEgsjISLm9c0KhUG5trlWrVqVeYZ3j24ITvg+ugOSx+h0ZjAXPpPSmtFQhOzsb7u7uyMrKgr+/P8zNzcts7Iq+heL169dYuHAhwsLC4OXlBTc3N417QkQEa2trPHjwQGPRpSVFbhIRjh49innz5sHZ2Rm///47bG1tNTK2JkhPT0dYWJhM6MLDw1GjRg05oatXr16F90rLk/8vg+zLT25PufnbIfh1wBh+D+g4cZ9fCXDC92EYIIlUu58jZ8xx5VZzVKtWrcBhYWFRbl9EqVSKBQsW4MyZMzhz5gzq1i2fCLKKuoXi+vXrmDVrFnR1dbFx40a0bdtWo/336tULkydPxsCBA9Xuq6TIzQcPHmDGjBlIS0vDli1b4OLiovaY6kBEePXqlVwQSkxMDFq3bi0TOicnpzJ9IPuSISJQXiCQvRmg1P/2B352+2YMAMYYMJwMxmAkJ4BFwAlf2lRAeFG9PlhtPInrixv36yA+Pr7AIRAIULVq1UJF8eNRtWrVUp2O/Ouvv7B8+XIcO3YMzs5lU+26OCrSFgqWZWXrf127dsWaNWs0tv7n6ekJlmWxcuVKtfopLnIzNTUVv/76K44cOYJly5bhp59+KpciuCKRCPfu3ZMTOh6PJ5fyq0WLFhVq7fdLgYgFZf4K5J2EQvEIjD6g2wWM6TrNlEn6yvjmhY8EV0EZc1TYw/d/BEKC187v0LvvWLRrVzCVWU5ODt69e1eoKH48EhMTYWZmVqw4VqtWDebm5io/xZ0/fx4eHh7YsGED3N1L3uhellSELRRZWVlYu3Yttm/fjhkzZmDevHlqr/+dOnUKW7duxfnz51Xuo6jITalUil27dsHT0xNDhw7FihUrYGlpqZa9ypCSkiITudDQUNy7dw/16tWTTVl26NABNWvW5LwODcBmrgRyj0LpFGh6vcCYruV+B5/BCR9JQcntAUpTuY8csQM27G2MQ4cOIS8vDyNGjICbmxtatGih8BeOZVkkJycXK47x8fEQiUQleo9VqlQp0nt89OgR+vXrhx9++AG//vprhf2DKM8tFB/X/27evAkvLy+MHKn6lFFiYiIaNWqElJQUlfooKnLzxo0bmD59OoyMjLB582a0aNFCJfsUhYjw7NkzuSCU+Ph4ODo6yoSuXbt2X+S+wIoOCW+A0qZApchzRj9f+PR6adyuL5lvXvgAgM32BrK3Q6UcmYw+GLO/wOi2BxHh4cOH8PPzg5+fH7S1teHm5oYRI0agUaNGGrE1Ozu7RO8xKSkJ5ubmRQqjrq4u5s6dC3t7e+zevbtCRvsVRllvoQgJCcGsWbOgra2NjRs3qpwUoEaNGrhy5Qrq1aunVLvCIjfj4+OxcOFCBAUFYd26daW2KV8gEODOnTtyQmdoaCg3bdmkSZNymVL91mBTxwCiMNU70GoEnlWgxuz5GuCEDwCREJQyPD9CqqRksnLoAfp9wJisKXDzISLcuXNHtpfLwsJCJoKlHWAilUpL9B7fvn2LnJwc6OjowMHBAbVr1y7Se6yoazJlsYWCZVn4+Phg8eLF6NKlC9asWaN0lOSQIUMwdOhQjBw5UqHzC4vcFAqF2LBhA9avX4+JEydi0aJFGk2onJSUJLc29+DBAzRs2FAu2rIiRYd+K5A0HvS+F9QrV6YLxvI4GG07TZn1xcMJ338QmwZKcQekcVDsS6YP6HYEY7axxMVjlmVx48YN+Pn54dixY6hZsybc3NwwfPjwcr2ZZGZmYt68eThz5gxmzJgBIiogkMnJybCwsChx7dHU1LTcp01LcwtFdnY2vLy88NdffylVjZyk8bh1dTpqVolBJWsDADyAZwHoDwGjPwgMz1ju/MIiN8+cOYNZs2ahYcOG2LBhg9oPTizL4vHjx3JCl5KSAicnJ9naXNu2bRUqWstRurDZfwHZWwGI1eiFDxiMqXDbrcoTTvg+gdhcUNYKIO8M8tOCFTKnzhgAYADDn8AYTlb6Zi+RSHD16lX4+fkhMDAQjRs3hpubG4YOHVpu5WD27NmDRYsW4dChQ+jSpYvce1KpFElJSSWuPUql0hLFsXLlymXqPZbGForY2FgsXLgQoaGhWLNmDUaOHFnoOiOJH4Oy1gCiCLCsBDyeVP4ERj8/BZ1eHzAmC8HwLApEbsbHx2P27Nl48eIFNm7cWGKJoeI+h9u3b8tVKrC0tJQLQmnUqBGX8qsCwmYsAvL81e9Itxt45t7q9/OVwAlfIRCbCcrzB3J9AOl75D9t6QJatcAY/gTo9SgyXZgyiEQiXLhwAX5+fjh9+jTatGkDNzc3DB48uMz3Nl29ehVubm7w8vLC2LFjlW6flZVVoji+f/8elpaWJQqkiYlJqXiPmtxCcePGDcyaNQt8Ph8bN25Eu3btZO+R8BoobQYUWzPWAnjmeJuzFj16/4g+ffrA09MTXl5e2LVrFxYuXIiZM2cqtdUlPj5ebm3u8ePHaNasmVzKr8qVNVdKi6NwiAhCoRDZ2dkFjpycnEJf//yYPyEB3ToqVqWlWHQ6gGexV/1+vhI44asg5Obm4uzZs/Dz88PFixfh4uICNzc3DBgwAMbGxiV3oAGio6PRt29fDB8+HKtWrdK4ByCRSBTyHolIIe9R3cAKdbdQfLr+99133+Wv/1VK/K+uo+KBUkQM3qdIce7WRGjrVsHChQvRrVs3eHl5lVhKRyqV4uHDh3IleXJycuQSOLdq1arMyzJ9abAsW6wYKSpUnx98Ph9GRkZKHYaGhjAyMoJYLEbdSgfR0v6J+heo1xc8sw3q9/OVwAlfBSQzMxMnT57E4cOHERwcjB49emDEiBHo27dvqd/APnz4AFdXV1SpUgX79+8vlxtmZmZmieL44cMHWFlZKeQ9KoqqWyiys7Oxdu1a7NrpjRe3KkNfV/n1GCnL4O4DLUz7RR9btmyBk5NTkZ/NrVu3ZCJ369YtVKtWTU7o6tevX+7rraWJSCRSSHSUEau8vDwYGBgoLVKfi9XnrynqqWdnZ+Pu3bu4ffu27MjKysKCmQ0xc2wadHWUCbr7HH3AeD54hqPV6OPrghO+Ck5qaioCAgLg5+eH8PBw9OvXD25ubujRo0epZXoRCAQYP348Xrx4gZMnT6JSpUqlMo46SCQSJCYmliiQDMMo5D0WVc5HmS0U7+P2wkC6Fvp6qtR1BCRSPrRsLoCnnT/dSkSIjY2Vq1Tw4sULtGzZUiZ0Tk5OsLKyUu1DLGWICLm5uUp5SIqIFRGpLFBFiZWBgUGZrXGKxWJERUXh1q1bMpF79eoVmjdvjrZt28qO/CAmMSjZUa0EG4AeGJtQMDzNRQF/6XDC9wWRlJSEY8eOwc/PD48fP8agQYPg5uaGzp07a3w/FRFhxYoV2Lt3L06fPo0mTZpotP+ygIgU8h5TUlJgbW1dokAaGxsXu4Vi1pirMNKLV91e6CApszuOnK0pEzqpVCoXhNKyZctSeeARi8UqT+cV1S4nJwf6+vqFekPqiJWOjs4X49ESEWJiYuQ8uYiICNSsWVMmcI6OjmjSpEmRv1c20ys/3kClyE4+oO8Knukata7ja4MTvi+UuLg4HDlyBIcPH0ZsbCyGDRuGESNGoEOHDhp9cvX19cXs2bPh4+ODnj17aqzfioRYLFbIe+Tz+YWmkEtPT4cg5zl+mx0BPTWr56RnAIs3dJGJXZ06deRu8kQEgUCgkkAVJ1YSiaTYaTtVDgMDgyI96a+V9+/fIzw8XE7o9PX15Ty5Vq1aKTcFL00EfegDULbyBjEGYCwDwGjVVr7tVwwnfF8BL1++xOHDh+Hn54e0tDQMHz4cbm5uaN26tUaejENCQjB06FAsW7YMkyZN0oDFXx5EhIyMjCJF0co0Fn945sLUWL3Pm2WBUbOaIzu7oBf1Uax0dHQUWmNS5tDV1f1ivKiKQm5uLu7duycncqmpqWjTpo1M5Nq0aaORklQkugtKHQdlc3Uy5tvA6HZUe/yvDU74vjKioqJkIiiVSuHm5gY3Nzc0adJErRvby5cv0bdv3wKJkjnyIeENUPoMgLLU64cA/+vLYGhoWuRUH5cmrOyRSqV4/Pgxbt++LVube/78OZo0aSLnzdnZ2ZXaWiGJIkFp4wCSoHgB1AMY/n+pFNsVc963Cyd8XylEhPv378tSphkZGclSptWvX1+lPj9usDY2Noavr69GU2Z9ibAsi9evXyMyMhLv313ByD4XYaivWmDLRyRSBn6Xl8DBwQENGzbkRK4cICK8efNGzpO7d+8eqlWrJidyzZs3L/PK8Pl7jI8DObvzpz5Jivw0i1oAwwcYPcBgLBiDYWB4XJ3DouCE7xuAZVncunULfn5+OHLkCKpUqSITwZo1ayrVl0gkwqRJkxAREYFTp05prG5dRSc3NxcPHz5EZGSk7Hj48CFMTEzQvHlztGppj8UTTkNbSz3he/lGF3N+q4Vnz54hLi4OTZo0gYODAxwcHNCyZUs0bdqU25OnYVJTUwusy/F4PDg6OspErnXr1jAzMytvU2XkV2EPBySv8iM+GUOAXwPQaQeG4TLwlAQnfN8YUqkUwcHB8PPzw/Hjx2FnZwc3NzcMGzasxM3SHyEirF27Ft7e3jhx4gQcHBwKnsNmg/ICANENgE0HGB2AXw2M/mBAWzNrj6XBx3ylkZGRiIiIkIlcXFwcGjRogBYtWqB58+Zo3rw5mjZtilevXsHX1xeHDx/GjvWW6POdBHy+an9SEqku9hythV9W3kStWrXQr18/1K9fHykpKbh//z7u3buHp0+fom7dumjZsqVMDFu0aKFyDtJvjby8PERERMiJXFJSElq3bi3nzVWrVq3Cfkc51IcTvm8YsViMy5cvw8/PDydOnECLFi3g5uaGIUOGKLQ37OjRo5gyZQr27NmD/v37AwBI8gaU452f75ThAfTpWgSTn6OSMc/PdWowvFyrQwuFQjx+/FjOi4uMjISWlpZM3D4e9vb2sv16z549w8GDB+Hr6wuGYeDu7o5Ro0ahXi0pJO+Hgs9TMcUUYwTGJgxSKQ9BQUHw9/dHQEAArKysZBUe6tWrh6ioKNy/f18mhg8fPkSlSpVkYvhRECvi/suyRCqV4unTp3Lrck+ePEHDhg1l2wjatm2LBg0acGvW3xic8HEAyN+0/u+//8LPzw/nzp1D+/bt4ebmBldX12K9iVu3bmHQoEFYsGABZkxuB6RPAkgIQFpkm3z0Ae3mYMy3g+GpVzpIEZKSkgoI3IsXL1C3bt0CIldYHsvExET4+fnB19cXcXFxcHNzg7u7uyxyViAQ4JdffkEvp+NwaacHLb5ymTZY0gXPZDZ4huPkXpdKpbh58yb8/f3h7+8PfX19DBkyBEOGDEHLli3BMAykUimePXuGe/fuycTw/v370NfXLyCGX2tF9I+e+qee3N27d2FjYyPnybVo0YKbKubghI+jINnZ2Th9+jT8/Pxw9epVdOnSBW5ubujXr1+hpWpev36NRfP6YM+fLHR1lFnj0gW0m4Kx+AcMo5mqDWKxGE+fPi0gciKRqIDANWrUqNgivJmZmQgICICvry/Cw8MxcOBAuLu747vvvpMLOrl//z5Gjx6NRo0aYdXKX4DU4ahZnVF4vU8s0Yb/6Vw0cz6JJk2aFnnexxqPH0VQIpFg8ODBGDJkCNq1aycXTfgx68tHEfwoiAKBAC1atJATxM89nvz1owegnN2A6BZAufneO2MK6A8CYzAKDL98vcn09HTcuXNHTugkEkmBdTlLS8tytZOjYsIJH0expKen48SJE/Dz80NoaCh69+4NNzc39OrVSyYaRHlgk5zBQJVQfj3AwAM8k/lKt0xLS5MTt4iICERHR6N69eoFRM7W1lYhT0ckEuHcuXPw9fXFhQsX0LlzZ4waNQr9+/cv4ClIJBKsXbsWmzZtwp9//onevXujW7duGDigGzxnxAOSx/miUSR8AFqAgQcOn7HF7NlzcPbsWbRs2bJEO4kIDx8+lIlgWloaBg0ahCFDhqBjx45FRoMmJSXJeYX37t1DUlISmjZtCgcHB/TrYY7Ora5DVzsDDIQAPhfv/7KL6LQDY7oSDL/0qzwIhUI8ePBALsVXfHw8WrZsKefN1ahR46v0Zjk0Dyd8HArz4cMH+Pv7w8/PD5GRkRgwYADc3NzQrUM6eDleAIq7yRcDYwjGJgwMU3hoOMuyePHiRQEvLj09Hc2aNZMTuCZNmihdQJVlWVy/fh0HDx6Ev78/GjduDHd3dwwdOhQWFhaFtnn+/DnGjBkDQ0ND7N27F8bGxujWrRs6d+6MdevWASBAdBOUsxMQ3QEYrf/2X/EAhg+BIAeZwo6oVHshGO387SUBAQGYOHEiTpw4UWSS6qKIjo7G8ePH4e/vj7i4OAwcOBBDhgxBly5dSkxxlpGRgYiICIgyfODcIkRBr50PMMZgLA7I7NcELMvi+fPncp7co0ePYGdnJ7cux2314FAHTvg4VOLdu3c4evQo/PwOwWfje9SpqUZwAGMAxmQ5GP2ByMrKwoMHD+QE7tGjR7C2ti7gxdWuXVutzcIPHjyAr68vDh06BHNzc4waNQojR45EjRo1imxDRNi+fTs8PT3h6emJqVOnIjs7Gz169ICjoyM2btxYwOsg6bt88WPTAUYb4Flg3aZQvI1Pw+bNm+XO/ffff+Hh4YGjR4+ic+fOKl1XTEwMjh8/jmPHjuHp06fo168fhgwZgh49ehS5vsXmnQMyFkK5ckoAMSbgW58Cw1csIvhzEhIS5EQuPDwcFhYWcp6cg4ODStXgSZqUH1ksicnf88YzA7SagNHvzyVs/sbhhI9DLUj8GNIPbuAxit8wC+PVGz30HJmDxMRENG7cWE7gmjVrprFw/djYWBw6dAi+vr7IzMzEqFGj4O7urlAS7vj4eIwfPx6pqanYv38/7O3tkZ2djV69eqFZs2bYtm2bwlNtz58/h4uLC96+fVsgovDq1asYMWIE9u/fj169eql0nR95+/YtAgIC4O/vj4iICPTs2RNDhgxBnz59ZAkIiM0CJXeAMqL3EbGEcPs+i/W7msgCaBwcHAqdWs7MzCxQeicvL09O5Nq0aQNra2u1rplE4aDsHYAo7L9XPo2y1QdAgH5fMIY/gdGqo9ZYHF8mnPBxqAUJzoMyFqmWQPcThGJ9xOYchp2dncZDy1NSUnD06FH4+vriyZMnGDp0KNzd3ZVK6O3n54eZM2diypQpWLx4MbS1tZGbm4s+ffqgXr16+Pvvv5X2Plu1aoV169ahS5cuBd4LDQ2Fq6sr/v77b7i6uirVb1EkJycjMDAQ/v7+uHnzJrp06YIhQ4ZgcO9c6Eu9P9t6ojgs6eB8+AzcCHstWzuUSCSws7ODiYkJRCIR4uPjkZCQgBYtWsgJXe3atTW2LkdE+VtpsnegZBHnA4wOGNM/weh11cj4HF8O3CQ5h3pQLgoGQCiPRJyDNm3aQEtLC1paWtDW1oa2tjZ0dHSgo6MDXV1d6OrqQk9PD7q6utDX14eBgQH09fVlpW8+HkZGRuDz+Xjw4AFCQ0Px+PFjtG3bFn379oWXl5estE1MTIxc/x///+naUWpqKqZOnYqIiAicOXMGrVu3BpC/EXrAgAGoWbOmSqIHAG5ubvDz8ytU+Nq3b49z586hb9++yMvLw8iRI1X/cP/DxsYGEyZMwIQJE5CamopTp07h6NEj6NT4MWyrqv6wwWMITi1ikJHdFLm5ucjMzERERAQSExMhFoshlUqRk5NfT45hGEgkEuTl5SErKwsSiUS2P1JdKHszkLMHinmuUoDyQOmzAbNNYPS+04gNHF8GnMfHoRYkuAjKWKi2xycQ6WPPyZ/kKhF8PPLy8pCXl4fc3FwIhUIIBAIIBAKIRCIIhUKIRCKIxWKIxWKIRCJIJPl76BiGAZ/Ph7a2Nng8HhiGkXkXH7/2RASWZcGyLKRSKaTS/P2HfD4fPB4PYrEYurq6MDMzkwmvtrY23rx5Az09PTRv3lwmxoWJ6Kf///znzMxMLFmyBP/88w+MjIwKPef169f4/vvvsWjRIowbNw46Ojqy69EEJH4CNsUNjFJZ/wvyIZUw9df/e3MtW7aEsbGx3DmpqamyrRUfI0pjY2PRsGFDue0VzZo1U3pNj4RBoLTpUGW6FtAHY3UGjJatCm05vkQ44eNQC5K8An1whWo3nE/QbgWe5SHlxyfC7du3cfDgQRw+fBg1a9aEu7s7Bg8eDGNjY+Tm5spEs7j/f/pzeno6rl+/jrdv36Jhw4bQ19eXCXBubi6SkpLAsqzMe/lU2D56qh89Vz6fLxPRjwcAmQBHR0ejcuXKMDY2hlQqlYmwRCKRHXl5eUhNTYWOjg6ICCKRSM4bLk5sS/p/Y7s0jOwbDn1dVYqcfooWeJUfK90qJycHDx48kNteER0djVq1asmJoYODA8zNi066zKYMBcQPVLRdGzAYDZ7JIhXbc3xpcFOdHGrBaNUBadUFJFEq9yEQ8pGS3QvVldhr/OzZM/j6+uLgwYPg8Xhwd3fH9evXYWdnJ3eeskExYWFh8PDwgJOTEzZv3iyXmFgsFmPEiBFgWRZHjx6FtrY2pFIpBAKBwqL6+f91dHSQmJiIWrVqFWgjFotlHi7DMBAKhdDX10eVKlVkU7yfTv9+KoQfp4s/Fd+PBwDweDwQEaRSYX54ppqwrASjR42EhYUlzM3NYWFhUeS/nyYNMDQ0hJOTk9z2DZFIhMePH8vEMCAgAJGRkbCyspILoGnZsiWqVKkCkrwExE/VsF4M5B0BGc8pcksNx9cF5/FxqE3ELS/UttoNY0PVghRy83Rg1/492rRxxPz58+Hs7FxowENCQgL8/Pxw8OBBvH37VpY2rFWrVmoHSIhEIqxYsQK7du3Ctm3bMGTIELn3JRIJRo0ahdzcXPj7+2usHE1iYiIaNmyId+/eFZtKi4jw6tUr9OrVCwMGDMCkSZPkpoBLEtiizmtQOxubV4pgYqTe5ycQ8jBuYQtIJBKZYAuFQuTl5clVe8/IyACfz5eJYHEC+em/pqam+PDhAyIjI+WmSrW1tbF9nS36dslSOTk4gPy9pCa/gdHvp9bnwPFlwHl8HCqTmpoKV1dXhIWF4G2EPYwMWTDKBrow+jCwmYmXL92wf/9+jBs3DhYWFpg/fz4GDRqEnJwcHD9+HL6+vrhz5w5cXV2xevVqdOnSRWPRn1FRUfDw8EC1atUQERFRIFenVCrF999/j8zMTAQGBmq0BlvlypXRsmVLnDt3DoMHDy7yPIZhULduXYSEhKB79+7g8/lYu3atWoL/6tUrnD1zFDrau1XuA8h3GN8lW6N69eoFBPajx6mlpSXzTnNzc5GWloaEhATZlK22tracRwpAtu766fqtjo4ODAwMYGhoCBsbG+jq6qJapWz1RA8AKBckiQGX9+XbgPP4OFRi2bJlWLVqFSpXrozjx4+jtYMNKGXwf0Euin2lhEIedE1754eU/3cDl0ql8Pf3h6enJ96+fQupVIquXbvi+++/R79+/TSaYJhlWWzYsAFeXl5Ys2YNxo8fX0BIWJbFuHHjEBcXh9OnT5dKguOdO3fi4sWLOHLkiELnp6SkoFevXnB0dMTmzZsVDnRhWRZ3797FiRMncOLECbx//x79+/fHLzPyYGt9F0yJicWLgDEEY7YVjG4HpZoREQQCgcJea05ODtLS0pCamoqMjAxkZGQgMzMTf3u9h309DdzGDMaAZ/KL+v1wVHg44eNQitDQUAwdOhQfPnzAsmXLsHjxYtl7JHkBSvUA2GwAwmL7Iejj5AUpHr4eAk/P5bK0Yb6+vvD390fTpk3Rrl07PHz4EOHh4Zg0aRKmTp2qsVI7r1+/xg8//ACpVIp//vkHdeoU3MjMsiwmTpyIZ8+e4ezZsyplD1GElJQU1KlTB2/fvi0QCVkUGRkZ6NOnDxo0aICdO3cW6f0KhUJcvXoVJ06cwMmTJ2FsbAxXV1cMHDgQjo6O+Wt94qeglGFQOUCJZw3G+nq5FUBlU0YB4jtq9sIAhtPAM56uEZs4KjZcqV4OhcjOzkbv3r3h7OyMhg0b4v3793KiBwCMVj0wVv8CRtMAnmV+VWg5tAHoAjpO4JlvQ7vuF7Bjxy707dsXNWvWxIwZM1CvXj1ERETg2rVr8PLywpkzZxASEoLk5GTY29tj4sSJePpU9UAGIsLevXvRpk0b9O3bF9euXStU9IgI06ZNw5MnT3DmzJlSEz0AsLS0hLOzM06dOqVwG1NTU5w/fx6xsbEYPXo0xOL/R2WmpaXB19cXw4cPR6VKlbBy5UrUqVMHV65cQXR0NLy8vODk5PT/CFPtBoCuMwBVpnD1AOMl5Vv1W6sB8hN+qwFjAEarpkbM4aj4cB4fR4ls2LABP//8M0xNTXH48GF8913Jm32JWEAUDBLdA9gUAPpgtCoDer3x5q1EVsj147TVtm3b8MMPPxTbZ3JyMry9veHt7Y327dtj3rx56NChg8LrXMnJyZgwYQJiYmLg4+ODZs2aFWE7Yfbs2QgLC8OFCxdgYmKiUP/q4OPjg6NHj+LkyZNKtcvLy8PQoUMhkUjQs2dPnDlzBuHh4ejcuTNcXV3Rr18/2NjYlNgPkRCipGGQCJ5AX0/RlS49wGgSeEZTlLJZkwgEAlw4uw3dWu2AnjpLr4zBf4nSiy5TxfEVQRwcRRAZGUm1atUiPp9PCxcuJKlUqnJf79+/J29vb+rQoQNZWVnRpEmT6Pr16ySVSunChQtUqVIlevbsmUJ95eTkkLe3N9WtW5fatWtHx44dI4lEUmybwMBAqly5Mv38888kEAiKPI9lWZo3bx61bNmS0tLSlLlEtcjIyCATExNKTU1V6HyWZenevXvk6elJzZo1Ix0dHapWrRr5+flRdna20uMLhULq0qUDRYV2ImlCM5ImNCBpgl0RR5P8I9tX6XE0xYsXL2jevHlkbW1NvXr1opQXnYuxt6SjEUkzVpTbtXCUPZzwcRRAIBDQ0KFDiWEYcnR0pMTERJX6ycnJoUOHDlG/fv3I1NSU3Nzc6NSpUyQUCguc+/fff1O9evXow4cPCvcvkUjI39+f2rVrR3Xr1qVt27ZRTk6O3Dnp6en0ww8/UN26dSkkJKTY/liWpcWLF1Pz5s0pJSVFYTs0xeDBg2n37t1Fvi8SiejixYs0bdo0qlGjBtWrV4/mzp1LwcHBJBAIyN3dnTp37kyZmZlKjcuyLP344480cOBAkkqlxIoekjRtTr64JTqQNLHFJ/+2IWnWFmIl79W9XKURi8UUGBhIPXv2JGtra5o/fz69ePEi/xryLv8n2KoIXzNixbFlfj0c5QcnfBxy7Nq1i/T19cnU1JROnDihdHuxWEznzp2j0aNHk6mpKfXs2ZP279+v0M14wYIF5OzsXKxHVhgsy1JISAgNHDiQrK2tydPTk5KSkujq1atUs2ZNmjhxImVlZZXYz7Jly6hJkyb0/n3Z39SJiI4cOUI9evSQey0jI4P8/Pxo5MiRZG5uTo6OjrR69WqKiooilmXlzpVIJPTjjz9Su3btlPJWt2zZQk2aNCnwO2Kl6cQKQojNPUNs3nlihXeIZcUqX5+qJCQk0G+//UbVq1cnJycn8vHxoby8vALnSTPWqiB+TYnN+7fMr4mjfOGEj4OIiJ4/f0729vbE4/Fo0qRJSk1rsixLYWFhNH36dLKxsSFHR0favHmz0p6iVCqlIUOGkLu7e4GbuqJER0fT+PHjSVdXlwwMDOjvv/9WqN2qVavI3t5eZe9WE+Tk5JCpqSndv3+ftm3bRj169CBjY2Pq06cP7dixg969e1diH1KplKZPn04ODg4KCfjly5epUqVK9PLlS01cgsZgWZauXr1Kw4YNIzMzM5owYQLdv3+/xDbSzD9ImtBUAcFrkH9e7pmyuSCOCgUnfN84EomEfvjhB+LxeNS0aVN6/fq1wm2jo6Np6dKlVLduXapfvz4tX76cnj9/rpY9OTk51LZtW/r1119Van/37l1q1KgR9evXj+bOnUvW1tbk6upKN27cKLLNunXryM7OTiFhKQ1YlqXIyEhasWIFWVhYkKGhIXl4eNCxY8cU8lQL6+/nn3+mxo0bU0JCQpHnvXjxgmxsbOjKlSvqmK9R0tPTafPmzdSwYUNq1KgRbd26ldLT05XqgxWEkDRlNEkTGuev333m4UkTmpA0bTaxouhSugqOig4nfN8wR44cIWNjYzI0NKQDBw4o1CY+Pp7+/PNPatWqFVWpUoVmz55Nd+7cUdlDK4zExESqVasW+fj4KNxGLBbTb7/9RtbW1uTr6yuzJzs7m7Zu3Up16tQhJycn8vf3lwuE2bhxI9WpU4fi4uI0Zr+i9l65coVmzpxJtWvXplq1atHMmTNp5cqV1LFjR7X7Z1mWfvvtN7Kzs6M3b94UeD8zM5MaN25M27ZtU3ssTXD37l368ccfyczMjNzc3CgoKEjt7xQrjiNp5kaSps0gacr4/HXL7L3ESpUTUo6vD074vkHi4uLIwcGBGIYhd3d3EolExZ6fnp5Oe/bsoa5du5KZmRn98MMPdPHixRIjKdXh0aNHZG1tTUFBQSWe+/TpU3J0dKRu3boVKWASiYSOHj1Kbdu2pXr16pG3tzdt2LCBatWqpZSXqw5ZWVl07Ngx8vDwIAsLC2rVqhWtWLGCIiMjZTd5gUBAFhYWGhPiP/74g2rVqiU3lSmVSmnAgAE0YcIEjT6wKEtubi7t27ePHB0dqUaNGrRq1apynWrm+HbghO8bQiqV0owZM4jH45GdnR09fvy4yHMFAgEFBATQ0KFDycTEhFxdXeno0aOUm5tbZvZ+3Obw9OnTQt9nWZa2bdtGlpaWtGXLFoXWJVmWpeDgYGrevDnxeDyaMWMGJScna9p0Ge/evaMdO3ZQnz59yNjYmHr06EHbtm0rVtjGjRtHf/75p8Zs8Pb2JltbW3ry5AkRES1ZsoQ6duxYaHRtWfD8+XOaO3cuWVlZUe/evenkyZOl+hDFwfE5nPB9IbDiWJJmbiZp2nySpk4jafpSYnMDiGUVi4A8e/YsmZubk56eXpHTW1KplK5evUo//vgjWVhYUKdOnejvv/9WeG9ZafBxm8PngRpv376lHj16UNu2bSk6Wrm1mn379lG1atXo3Llz9NNPP5GZmRlNmjRJ4X2ExcGyLEVFRdHq1avJ0dGRzM3NaeTIkeTn56fwWtWFCxeobdu2atvyKXv37qUqVarQ2rVrqVatWqUq9oUhFospICCAunfvTtbW1rRgwYIKF1DD8e3ACV8FhxVcI+mHkf9tGm4ov1Cf2Dx/b1XGKmIlhQdmvH//njp06EAMw9DAgQMLeGwsy1JERATNnz+fbG1tqXnz5vT7778Xui5UXixcuFBum8PBgwfJ2tqaVqxYQWKxcuH1vr6+VLVqVZn3Q5S/pvjLL7+QlZUVDRo0iEJDQ5XqUyKRUHBwMM2dO5fq1atH1atXp2nTptHFixdV8qrEYjHZ2NhoXBjWrFlDDMOQr2/ZbTx/9+4dLV++nGxtbal9+/ZFbkXg4ChLOOGroLCshKTpniRNVGRfUiOSJjoQK7zzSXuWli5dSlpaWlS9enUKDw+X6z8mJoZWrVpFjRo1opo1a9KiRYvo0aNHZX2ZCiGVSmno0KE0dOhQGj58ONnb28tdDyvNIFYcQ6z4BbGS90WuWx05coQqV65c5HVmZ2fTli1bqHbt2tS+fXsKCAgocgouJyeHAgIC6IcffiBra2tq0aIF/frrr3Tv3j2NrJtNmTKFVq9erXY/H0lMTKQaNWrQwoULydrausTN/OrAsixduXKFhg4dSmZmZjRx4kSKiIgotfE4OJSFE74KCMuyJE1boMJm3GbECiMoJCSEKleuTNra2nI3z8/Thk2ePJlCQkLKNcBBUQIDA0lbW5scHR0pNzeXWFZMbN6/JP0w5D/h/8/7TWhM0qROJM32IVb6/60Ax48fp0qVKil0A5ZIJHTkyBFq06YN2dnZ0fbt2yk3N5eSkpJo165d1L9/fzI2NqYuXbrQpk2bKCYmRuPXGxwcTM2aNdNIXwKBgNq3b0+enp5ERHT+/HmysrKiS5cuaaT/j6SlpdHGjRvJ3t5eFjGakZGh0TE4ODQBJ3wVEGnOYZXTL2W8aECmJnzq2rUrpaenU3Z2Nh08eJD69u1bYtqwikh2djZNmjSJatSoQUePHqVatWrRhdO/kjSx9X9CV/RDgDShKUmz/qZTp06SjY0N3b17V6mxWZalAwcOUMOGDUlbW5v09PRowIABdODAgVJf95RKpVStWjWKiopSqx+WZWncuHE0aNAgueCfa9eukZWVFZ0+fVpdU+nOnTs0fvx42VaE4ODgL+JhiuPbhavAXsEgIiB7K4A8ldozjBRh1xYiJtEZ06ZNw6lTp+Dk5AR3d3f4+fnByMhIswaXIjdv3sSYMWPQvn17PHjwAKampnBs8R4W/D8BKqmCQP7nJ8nYhOSXWTh9+hRatmxZ4pgsy+LWrVuyYq2ZmZkYMGAAZs2ahbCwMAQGBsLW1haOjo4wNzfXwFUWDo/Hw/Dhw3H48GEsX75c5X62bNmC8PBwhIaGyhWs7dSpE06dOoWBAwfC29sbQ4YMUarfvLw8HD58GN7e3khOTsbEiRMRHR2tsXqJHBylCVeWqIJBwpug9MkA5arcR3wCi2GTLeHuPlpWk+1LQiQSYfny5di9eze8vb0xePBgAP99NmkToWzBVCmrA77JVPCMJhf6fl5eHi5fvowTJ07g1KlTsLa2xsCBAzFw4EC0atVKTjASExOxdetW7NixAy4uLpg/fz7atWun8rUWx+3bt+Hh4YHo6GiFSy99yqVLlzB69GjcvHkTtWvXLvSc+/fvo0+fPli3bh1Gjx5dYp/Pnj3D9u3bsX//fjg6OmLy5Mno3bt3kYVwOTgqIpzwVTDY1AmA6Jp6fZA++Ja7wei01oxRZcijR4/g4eEBW1tb7Ny5E5UrVwaQ7wnT+y4AG69iz7pgbILA8CwA5Fc9P336NE6cOIHLly/DwcEBAwcOxIABA1C3bt0Se8vOzsbevXvx559/wtbWFvPmzUP//v3lRFJdiAh169aFv78/HBwclGr74sULdOjQAYcPH0bnzp2LPffx48fo0aMHfv31V/z0008F3pdIJDh16hS8vb3x4MEDjB07FhMnTixSTDk4Kjqc8FUw2PddAWmcmr3ogzFZCsZgqEZsKgukUik2bNiAtWvXwsvLC+PGjZPzckgUDkr7SQ1PWA+pouHYf8wAJ06cQEREBLp27QpXV1f07dsXlpaWKvUqkUhw/PhxrFu3DpmZmZg7dy48PDygr6+vop3yLF68GFKpFGvXrlW4TWZmJtq1a4cZM2Zg0qRJCrV5/vw5unXrhjlz5mDmzJkAgHfv3mHnzp3YuXMnatWqhSlTpmDIkCHQ1VWn4isHR/nDCV8Fg01uD7Af1OxFB4zxPDCGP2jCpFInJiYGP/zwA4gI//zzT6GeBJs2ERBeA6D61zUllcWSjZ0xYIArunbtqjFxAvK9s+DgYKxbtw537tzB1KlTMWXKFJUF9SMPHjxA//798fr1a4WmO6VSKVxdXWFra4u//vpLqbFiY2PRpUsXdO7cGRkZGbh8+TJGjhyJSZMmFVmtnoPjS0Rz8zIcmoHRxM2YDzCGGuindCEi7NmzB23btkX//v1x9erVoqfPhDegjugBgKWlEXZsW4B+/fppVPQAgGEYdOrUCadPn8aVK1fw+vVr2NnZYdq0aXj58qXK/TZt2hSGhoYICwtT6PylS5ciKysLmzZtUmqctLQ0BAQEAAB8fX2Rm5uL2NhYeHt7c6LH8dXBCV9Fg6+BdROGB2jVVL+fUiQpKQmurq7YvHkzrly5gnnz5hUZIEEkBiDWwKh8gDI00E/xNGrUCLt370ZUVBRMTEzg6OiIYcOG4datW0r3xTAMhg0aBu8luzHTeQl+aDAd39tNw9S2P8PPKwAZHzJl5x46dAiHDh3C0aNHoaOjo1D/d+7cwbhx41C7dm2Eh4fjn3/+QWxsLN69e4fly5eDmxDi+BrhpjorGCQMAaVPUyuqEzwbMNbBYJjSe655/zYFJ73/Rdipu8jOyAWPx8DU2gQ9f+iMbh6dYGhiUGTbgIAATJ48GePGjcOyZctKvEkTSUBJjaGuxyeW6OFt9mJUqTEABgZF26dpsrOzsXv3bmzYsAE1atTAvHnz0K9fvxIDYdLfZ2DfUj9c2B8EgSAPfMjvPtLV1wHLEtr1a4V2o5vD/ceRuHz5cokeWm5uLvz8/PDXX3/hw4cPmDhxIsaNGwcbGxvZOampqejVqxdatWqFbdu2aTRoh4OjvOGEr4LBslLkxrWBgW62ij3oA0YzwTMap1G7PhLzMBY75u3Hg+AnAACxUN4T0zPUBbGEzm4d8KOXO8ysTWXvZWRkYObMmQgJCcH+/fvRvn17hcdlE5sCEKple56AwYjJDC5dfQ1ra2vY2dmhXr16sLOzkx1169aFnp6eWuMUhUQigb+/P9atW4fs7GxZIExh4719noC5nX9F5odMSMTSYvtleAwkJMbQ33phyuKJRZ739OlTbN++HT4+PmjXrh0mT56MXr16FelpZ2Zmol+/fqhTpw527doFLS1u2y/H1wEnfBWIqKgoTJkyBb1cUjBvMsDniZTvhDEEY30NDM+05HOV5M6FSCwfsg6CnJIFSEubD1NrE/xxbTmq1auCq1evYuzYsejVqxfWr1+v9EZ6Nm0qILwEtbw+nhUY6xCwLOHNmzd4/vw5Xrx4gefPn8uO2NhYVKpUSU4MPx61a9fWSEQjESEoKAjr1q3D3bt3MW3aNEyePFkWCJOSkIaJLeYh80OWUlONeoZ62By6ErWb/n+aWywW4+TJk/jrr7/w8OFDjBs3DhMmTFB4K0JOTg5cXV1hYWGBAwcOQFtbW7mL5eCogHDCVwHIzs7GihUrsHfvXixbtgyTJk4EkzUfEF6GMpu1c/MI4c8n4Lse8zVu4+ObT7Gg+woIcxUXY4bHwNTKGJUHGuH46WPYtWsXevfurdL4JLoHShun1nYGGE0Dz2hCsWdJJBLExsbKieFHcXzz5g2qVq1apCiqIgpRUVH4448/EBgYCHd3d8yePRtbxu7Dk5vPIJUU7+kVhlU1C/jG/oWEhATZVoQ6depg8uTJKm9FEAgEGDZsGBiGwZEjR0rNI+bgKCs44StHiAjHjx/H7Nmz0alTJ6xbt+6TDdsSUMZiQHgeoJLSl/EBRhevUubBpdsCrFmzBt9//73G7JSIJRhR9Sdkpig//UogaNswOBC1Xa3QfiICfegOSN+o2IMuGJtgMDzV04yJxWK8fv1aThQ/HvHx8ahevXqh06e1atUqcZrw3bt32LJlC/ZvP4BGWe0AVjUbtfW1odVCgJAn12RbEZo2bapaZ58gEokwevRopKenIzAwsEzXSDk4NA0nfOXEixcvMH36dLx58wbbtm0rNLsGEQHCC6DsHYDkBfIjGz/1AgwAsID+QDCGP4HRqoHo6Gj06NEDP//8M6ZMmaIRW4OO3sQfP3ojL0u5VGEf0dbTxp7HG1G5lk3JJxcDie6AUsdB2ZRlgD5gPBM8w9JZ9wTyhSEmJqZQUUxMTESNGjUK9RRr1Kght8b258S/8O/uKyAVhQ8ArOqb4+/wP2BsbKyBK/s/EokE48aNw+vXr3HmzBmN98/BUVZwwlfGCAQCeHl5YevWrViwYAFmzZqlUOg5SV6Acv0B6dt8D5BnDmi3AqPfHwxPfs9eTEwMunXrhokTJ2LBggVq2zyl9UI8v/dK5fZaOlpwnd4bE9eNUdsWNu8CkDEPioufHmAwCjyTn9UeW1UEAkGRopicnIxatWrJhPCx9ztIRcpPcX6Ktq4WDsXtgKmViYau4P+wLIspU6bg/v37+Pfff0s1UTcHR2nBCV8Zcu7cOUyfPh3NmzeXhbaXFvHx8ejWrRuGDh2KFStWqJTkGACS37zHWPuZEAnU20dnZG6IgJR9avXxERLdBqXPBiin6DU/5r+pOKN54BmWnHy5LGFZFizLQiqVIjs7Gy9fvsSzZ8/wLPo5bq55rO6uDRiY6GND8G+o06x09nISEebMmYNr167hwoULsLa2LpVxODhKCy4+uQyIi4vDrFmzEBERga1bt6oc4KEM1apVQ1BQEHr27Ins7Gz8+eefKonfh/hUaOtqqy182ek5OBF4Aiz9/6b/8fj05+Le+/RnVtoFtW0T0MHhCWpVfQ+RiMDja0GLz+J9mj4uhNRC+ANLCIRXIZVeUmmM0noPyC87xOfzZQePx4MOo4fm1BE8NfNKMAwDQa56Wz9K6v/PP//E0qVL0alTJ1y6dAlVq1YttfE4ODQNJ3yliFgsxsaNG7F27VpMmzYNBw4c0HiqrOKwsbHBlStX0KdPH0yYMAHbt29XunyMuoIngwg7/94FLZ3/3+g/v/EX9v+if9bC2+RaOHqxDp49fYi42EcYOXIYRBL9/OoUfD6aNVd3jNJ5r6jN4BKxBH30RqmdLYVlWRiZlW7KOoZhsHLlShgYGMDFxQWXL19GzZryHiaRFBAGgcQPADYVYPTB8KsBen3A8K1K1T4OjuLghK+UCAoKwpQpU1C9enWEhYWhXr165WKHubk5Ll68iAEDBsDDwwP//PNPkWH3RIR3794hOjoa0dHRePLkCaLDn4PNNCiQNURZ+Fp8nD57Sq0+imLjxo0wMbXGjxM9S6X/skJLWwuValoh8fV7tfohllCpZtkIy+LFi2FgYCDz/OrVqwdiU0G5h4Cc/QBE+VPSH22DLpD1O0jXOT8gS6dVmdjJwfEpnPAVAcuyKqVpSkpKwvz583H16lVs3LgRgwcPVnl9TVMYGRnhzJkzGDZsGIYNG4b9+/fj7du3/xe3/4QuOjoahoaGsLe3lx09uvbEdvdDEKvp+VVvUE1DV1OQhIQEVKlSpdT6L0uGzO2P7fP+gVSoWoALT4uHHt93hq5+2ZUOmjVrFgwMDNC5c2cEXd6O2mbLARKg8Ew7/70mvAoShoIMxoAxnlvufyMc3xac8P1HxodMnNt9BSe2nkNacgakYim0dbVQtV5lDJ83EJ2GOxV7M5FKpdi+fTuWLVuGsWPH4smTJ0pnJ9E0aWlpcuIGAJcvX4aZmRnq1q2LRo0awd7eHl26dMGUKVNgb29faJTe85FxuOgTBKlEtRh7fSM9jFjoqs6lFMu7d+/QqFGjUuu/LGBZFkePHsXyzStQVdwQDFQTAolEjPDEEMTH90a1aqX3sPE5EyZMQBXrTFhrzQaxDErWMQIgAHJ9QMgDY7K0DKzk4Mjnm4/qzM3Kw8ZJfyPk+C3weAyEeQUzk+gb6YEADJ3dDx6/DivgCd6+fRuTJ0+GoaEhvL290aRJkzKyPv+G+ebNmwKeW3R0NPLy8uS8N3t7e9jZ2WHdunWIiYnB6dOnYWpacmqzmEdvMN1xUaGfjSLoG+nhWPJu6OgpVjFAWbp164YFCxagR48epdJ/aUJECAwMxK+//go9PT389ttviL2cjJPe5yFUMkBFW08bzTo1BJrnYOfOnZg8eTIWLFgAExPNb2v4HGJzQe+/A7FpCoje5+gDJivAMxhYGqZxcBTgmxa+9PcZmN1xKZJiPxRItlwYeoa6cOjSFJ7H5kJLWwupqalYvHgxTpw4gd9//x2jR48utSmb3NxcPH/+vIDAPXv2DJaWlnLi1rBhQ9jb26NKlSqF2sOyLGbMmIGwsDCcP39eoYwqi/usQuS1KKWDXXQNdOH+yxCM/HmQUu2UoVGjRjhy5EiZPnCoCxHh7Nmz8PT0BMuyWLFiBfr16weGYcCyLJYOWIvIa48UTxHHI/CMGPi/2QcjE0O8efMGS5cuxfnz57F06VJMmDChVPNssjmHgaw1AFRMKce3BWN1mZvy5CgTvlnhE+QKMb3dIsQ9fQdpCdnvP0XXQAcdBjmi0ndGWLx4MYYMGYKVK1dqZCMvESE5ObmA5xYdHY3ExETUrVu3gMDVr19fpQwaRIRFixbhzJkzuHjxoixVWlHk5Qgwvd1ivHuRqNBDApAves6D2mLh/umlekMzNzfHixcv1K52XhYQES5duoSlS5ciJycHy5cvh6ura4FZBKlEivXjvRFy/BaEuaJiIz31jPRQt3lNRGnfRtXqVbB3715ZfxEREViwYAFev34NLy8vDBo0SOO/C/XTyQFgDMCY7wKj01pzhnFwFME3K3w+K47CzytApXB94rHIqfceWw78idatlf9DlUgkePXqVaECB0DmsX3qvSmS71Hp6yDC6tWrsW/fPly6dKlAOPrn5Gbl4Zd+a/D8fgwE2cVkTmEAnhaDAZN7Y/Kf35dqLbe8vDyYm5sjLy+vwnsLQUFBWLp0KZKTk7Fs2TIMHz682M+GiBB1IxpH1p/EnQuR4PN5EOQJwQDQ0dMFsSwatKmHEQsGonWvFhAKhejduzcaNWoEb29vuc/jwoULmD9/PoyMjLBu3TqlSkKVBIkiQWnfq1dDEgyg2xU8c2+N2cXBURTfpPBJJVIMr/KjSkmXP9KyW1OsvVB8+HxWVlah4vbq1StUqVKlgLjZ29vDysqqzG/gGzduxIYNG3Dp0iXY2dkVey7Lsrh78QGO/H4CUTefQkuLD6FACJYl6BvqQSqWwqFXE+y7vAN3n91GpUqVStX2V69eoUuXLnj9+nWpjqMOoaGh8PT0RExMDH799VeMGjVK6YeYtKR03Dp7H3u274GtrS269uyClt2aoUod+c83KysL3bp1Q4cOHfDHH3/IfZekUikOHDiAX375BW3btoWXl1eJv29FoFx/UOZvUHma8yP8GuBZX1LbHg6OkvgmhS/0RDi8xmxWOekyAGjrauOf51tgVc0C8fHxhQpcWloa6tevX0Dc7OzsynQjuyLs3r0bnp6eOH/+vMJrZUmx7xF5LQpXL17D06dPMWPeNLTp1QKGpoaYM2cOcnNzsX379lK1+8aNG5g/fz5CQ0NLdRxVCA8Ph6enJx4/foylS5fi+++/V3udbezYsejYsSPGjSs64XZaWhq6dOmCfv364bfffivwfl5eHjZt2oT169fDzc0Nnp6ectXXlYVy/gFlrQOgWvCTDMYSvEo31euDg0MBvsntDP/uvaKW6AGAWCKGa4dheJAaLtv79lHc+vfvD3t7e1SvXr1Up/k0yfjx42FgYIBu3brh9OnTCk3hVqppjR7fd0a6fjJeHI1C5xEdZO/98ssvsLe3x/Tp09G4ceNSs/vdu3cVbg9fZGQkPD09cffuXSxZsgQnTpxQKBG5IojF4hLF09zcHBcuXECnTp1gaGiIn3+WT9Ctr6+Pn3/+GePHj8fKlSvRqFEjzJ49G7Nnz1at3BCjD0C5jECF8fpNErq3rwtbW9sCR7Vq1WBra4tKlSopnX2Ig+NzvknhS3mXpn4nUqDXd71xeoP/V5OhfuTIkTAwMECfPn1w/PhxODs7K9ROV1cXQqF86L2FhQUWL16M+fPn4+zZs6VhLoD8zesVJU9kVFQUli1bhpCQEPz88884fPiwxou2KiJ8AGBtbY1Lly7BxcUFBgYGmDFjRqHnbNq0CdOnT8fixYtRv359rFixAt9//71C4iIUCnHz5k28fHIRw3vmwVDNEn1JH3TRuXN71K1bF5aWlkhLS8PTp09x+fJlvH37FvHx8UhJSUHlypULCOKnR5UqVTT2oMHxdfJNCp8qla0Lw9qq0lcjeh8ZOHAgDAwMMHjwYPj6+qJ79+4ltilM+ABgypQp2LZtGy5evKhQP6pQETy+Z8+eYfny5bh06RLmzZuHffv2wdCwdHJlKip8AFC1alVcvnxZJn4//vhjoefVq1cPR44cQVhYGObPn48NGzbg999/R69eveTWCFmWRUREBC5duoTLly/jxo0bqF69OvT1ddG3oxSGBqp7YgQDGNmMR+3aGbh69SrCwsJQt25duLi4wMPDAx07doSNjQ1EIhESEhLw9u1b2REfH49bt27Jfk5MTISFhUWxnmO1atW4YrrfMN+k8JlYql9Ak6/Fh5nV11mIs3v37jh+/DgGDx6MnTt3YuDA4jcWFyV8Ojo6WLt2LebOnYv79++XyhRVQkICGjRooPF+FeHVq1dYsWIFzpw5g1mzZmH79u2lXpxVGeEDgJo1a+Ly5cvo3Lkz9PX14e7uXuS57dq1Q3BwME6ePInZs2dj/fr1mDFjBhISEnD58mVcuXIF1tbWaN26NUxMTGBpaQk+n48RI0ZC15wHwAfKFwnOh2F00aTlFDRtxccvv/wCsViMu3fvIjg4GHv27MH48eNRtWpVuLi4oFOnTnBxcUGHDh0K7UsqlSIpKQnx8fFyAvnw4UOZUL59+xaGhobFeo62trZlsvmfo+z5JoXPqX8rPL75TOnMGJ9CDKFqE/UqildknJ2dce7cOfTt2xe5ubkYOXJkkecWJXwAMGjQIGzcuBH79u3D+PHjNW7nu3fvynyq882bN1i5ciWOHz+OqVOn4vnz5zAzMyuTsZUVPiDfo7tw4QK6du0KfX19DB48uMhzk5OTkZOTAycnJ5w8eRKDBw9GzZo18cMPP6B58+Y4ffo0Ll26hFGjRmHx4sVo0aIFGIbJT0z93lfFWoJ6gOGPYJj/Pxhpa2ujXbt2aNeuHRYsWACpVIrIyEgEBwfjyJEjmD59OszMzOSEsFatWmAYBnw+H1WrVkXVqlXRpk2bQkckIqSkpBTwHK9fvy77OS4uDgzDFOs52trawtLSssJvpSkviAgQhQHiSBCb9l+FjkqAXk8wPItys+ubjOrMycjB8Co/qVVyJ4/Jxl3ta2jr2Bbjxo3D4MGDS/1pvzx49OgRevbsieXLlxc5VXb37l389NNPuHfvXqHvh4eHw9XVFU+fPtV4/tImTZrg4MGDaNasmUb7LYx3795h9erVOHToECZOnIh58+bBwqJs/3i7du2KRYsWoVu3bkq3vX//Pnr16oW9e/eiT58+APK3PwQFBeHy5cu4dOkS4uLi0LlzZ3Tt2hUdO3bEgwcPsGrVKjx//hz29vZYtmwZBg8eXOh2DBKGgNKmQDmvTxfQaQfGfAcYRvFAMJZl8fjxYwQFBSE4OBhBQUHQ0dGRiWCnTp1gZ2enliARETIzM+W8xM+P+Ph45ObmyglhYd6jjY3NNxWUQ2w2KO8YkLMHoEyAhAA+LjHpASBAt9N/FTqal7l936TwAcDa77fgysEQsFLlEy/rGeqi35yuuP7yMgICAmBlZYXU1FT0798fHh4e6N69u8Y3m5cnz58/R/fu3TFr1izMmjWrwPuPHj3CiBEjEBUVVWQf7u7uqFevHpYvX65R2ywtLfH06VNYWZVeGZ7k5GR4eXlh3759GDduHBYsWKBW+L86dOrUCcuXL0fnzp1Van/9+nX0798fAwYMwMuXLxEZGYm2bduia9eu6NatG1q2bIlbt27Bx8cHx44dQ/PmzTFmzBg4OTnhjz/+QGBgIBYtWoQpU6ZAV7dg0nYSXAGlz0L+1oaS/rb0AV0nMGabwDDqVZMgIjx//lxOCMViMVxcXGRC2KhRo1KJss7NzS0gjJ//nJqaKheUU5j3WLVq1VJNK1dWkOQVKHU0wOYAyCvmTB4AHaAcKnR8s8KXEJOESQ7zkZtZ3C+mIHwtPqrUscH2++ugq6+LpKQk7NixA9u2bYOZmZnsKdHNzQ0eHh5o2bLlVzEN8ubNG3Tr1g1jxozBkiVL5K7p+fPn6N27N168eFFk+9jYWLRs2RIPHjzQWNUAgUAAU1NTCASCUvmMU1JSsG7dOuzcuRPu7u5YtGhRuQfStG/fHuvWrStyfetzWJbFgwcPZB7djRs3UKVKFcTFxWH16tWYMGECDAwM8Pz5cxw4cAA+Pj7Q19eHh4cH3N3dUb16dbn+oqKi8PPPPyMqKgqrV68uNPsMiZ+BsrcCwqsAGMh7gAwAPYBvDcZwEqA/WClPT1GICLGxsXJCmJ6ejo4dO8qEsHnz5mXmhYlEIrx7965YzzExMRGWlpbFeo7VqlWrcHuAP4UksaCUwQBlQ/F5b31AfzB4pr+WpmlyfLPCBwBRoU/xc8/fIMhRbK2Pr82HqZUJtoV7waqq/BSXSCTC0aNHsWnTJiQkJKBRo0Z4+vQpDAwM4OHhgVGjRpWYEqyik5iYiO7du6NPnz7w8vKSic2bN2/QoUMHxMXFFdt+0aJFSExMxN69ezViz+vXr9GpUyfExsZqpL+PpKen448//oC3tzeGDRuGJUuWFBCA8qJNmzbYtm0b2rZtW+Q5r169kgndlStXYG5uLvPovvvuO1hYWOD8+fMYPXo0xo8fj6CgILx69QojR45U+GHt2rVrmDdvHhiGwfr169GpU6cC5xCbCso5ivOnV6Jb1zbg8w0BLVsw+iMA7eZl/kAYHx+P4OBgmRC+e/cOHTp0kAlhq1atytXj+hiUU5znGB8fLxeUU9S6Y3kE5RCJQO+7AWwySvb2P0cPMPkVPIMhpWFaAb5p4QOAFxExWNRrFYR5wiI3tTMMA11DXVSrVxlr/v0F5jZFl/IhIoSFhWHz5s34999/0aVLF2hra+PixYto2rQpPDw8MHToUIXKAVVEUlJS0KtXL7Rt2xZbtmwBj8dDUlISmjZtiuTk5GLbZmZmon79+vj333/RokULtW0JDQ3FnDlzEBYWpnZfQL59mzZtwqZNmzBgwAAsXboUtWvX1kjfmqJFixbYu3cvHBwcZK+9f/8eV65ckW0zyM3NlQld165dUaNGDdm5QqEQZ86cgY+PDy5cuACpVIo///wTEyZMUHp6nmVZHDlyBIsXL0bjxo2xdu3aAnURExIS0Lx58xK/G+VBcnIyrl+/LvMKX758iXbt2snWCdu2bavxfZjqQkT48OFDseuOb9++BY/HK1IUPx4WFhYaffigvNOgzF9Uz9nKqwzGOqhMHoi+eeEDAIlYgpsn7+Dw74GIefgG2rr/f+oTCcVo3aM5hs8bgMYd7JX6pcTHx8Pb2xs7d+6Eg4MD2rZti6ioKFy+fBk9e/aEh4cHevXq9cXN62dmZqJv376oW7cudu3ahezsbNSsWRMZGRkltvX29oa/vz8uXbqk9hfc398fvr6+OH78uFr95OTkYOvWrfjjjz/Qs2dPeHp6aiSHZWnQuHFj7N27FykpKTKhi4mJgYuLi0zoGjduLPfZEhFCQ0Nl63ZNmzbFmDFjMGTIEJw9exZz587FlStXVN4WIhQKsW3bNnh5ecHV1RXLly+XTQnfuHEDc+fO1djDSWmSlpaGkJAQmRA+fvwYrVq1kgmhk5NTqe3P1CSfBuUU5z3m5eUVuY3j4+vKBOWwHwYAkmjVDWcMwJj9BUbXSfU+FB2KEz55El8nI/nNBwhyhDAw0Ydt/Sows1bPO8vLy8OhQ4ewadMmiEQijB8/Htra2jh69CiePXuGESNGYPTo0Wjbtu0Xsx6Yk5ODQYMGwdTUFLt27UKlSpUgEJQczSeRSNC0aVOsX78effv2VcuGLVu2IDo6Gtu2bVOpfV5eHrZv347ff/8dLi4uWLZsGRo2bKiWTaWBWCzG7du3cenSJXh5eYHH46FNmzYyr65169aFPjy9ePFCtm6nq6srW7f71AMEgL179+LXX39FUFCQWh5uWloa1qxZg927d2PatGmYN28eAgMDce7cORw8eFDlfsuLrKws3LhxQzY1GhERgWbNmsmE0NnZ+Yve55eTk4P4+Phi1x3T0tIUypSjhdeglCFQdR+nDB0X8Cx2aeT6ioMTvjKEiBAUFIRNmzYhODgYY8eOxYABA3Dt2jX4+PiAx+Nh9OjRcHd3R506dcrb3BIRCoUYMWIERCIRzp07B5ZlFRLu06dPY8GCBXjw4IFa0a+LFy+GoaEhlixZolQ7oVCIXbt2YfXq1Wjbti2WL19eJtshFIWI8OjRI5lHd/36ddStWxddu3aFj48PLl26VGQi8dTUVBw+fBg+Pj54+fKlLMiqVatWxf5uvL29sX79egQHB8PW1lYt+2NjY7FkyRJcvnwZrVu3RtOmTbF69Wq1+qwI5ObmIiwsTCaE4eHhsLe3l60ROjs7fxE1IZVBKBQWminn05+TkpIwdmQlrP9VX+20deBVAs/mukZsLxbiKBdevXpFc+fOJQsLC3J1daUrV67QzZs3aerUqWRlZUUdOnSg7du3U0pKSnmbWiwikYhGjRpFDMPQhw8fFGrDsix16dKFvL291Rr7+++/p927dyt8vkgkoh07dlD16tWpT58+dOfOHbXG1ySvX7+mXbt20ciRI8nGxobq1q1LEyZMoCNHjtD79+9l59na2tKbN2/k2goEAjp+/DgNGjSITExMaMSIEXT69GkSiURK2bBu3Tpq0KABJSYmauSa7t69S5UrV6ZKlSpRYGAgsSyrkX4rCgKBgK5fv06rVq2iHj16kLGxMTVt2pSmTp1KR44c0djnWNERi8WUEv8XieIbkzTBTr0jsWWZ2MwJXzmTlZVF3t7eZG9vT82bN6fdu3dTRkYGnThxgoYNG0YmJiY0aNAgOn78OAkEgvI2t1AkEglpaWlRmzZtKDU1VaE29+/fp0qVKlFGRobK4/bo0YPOnTtX4nlisZj27t1LtWvXpu7du1NoaKjKY2qK9+/f05EjR2jixIlUt25dsra2Jjc3N9q1axfFxMQU2a5SpUr07t07YlmWQkNDadKkSWRpaUmdOnWiXbt2UXp6ulp2LVu2jJo2barwQ0xJdOzYkdasWUNNmjShjh07UlhYmEb6rYiIRCK6desW/f7779SvXz8yMzOjBg0a0E8//UQHDhwo8MDyNcHmniBpYgv1hS+pfZnYywlfBUEqldK///5Lffr0IWtra1q8eDG9ffuW0tLSaOfOndSpUyeytLSkiRMnUkhISIV7ejY3N6dJkyZRixYtKDk5WaE2P/zwA/38888qj9mkSROKiIgo8n2JREK+vr5Uv359cnFxoaCgIJXHUpecnBz6999/af78+eTg4EDGxsbUp08f+vPPPykyMpKkUqlC/ZiamtKCBQuoXr161KBBA1q5cmWxQqksLMvSggULqHXr1mqLKFG+h/r69WuSSCS0e/duqlatGg0bNoxevHihAWsrNhKJhO7fv08bN26kwYMHk5WVFdWuXZu+//572rNnD718+bLC/R2rCiu8Q9LE5uoL34chZWIvJ3wVkKdPn9K0adPI3Nyc3NzcKDQ0lFiWpdevX9OqVavI3t6eateuTUuXLqVnz56Vt7lERFSlShWKi4sjT09Psre3p7dv35bY5u3bt2RhYUGvX79WaUxLS0tKSkoq8LpUKqWjR49So0aNyMnJiS5dulTmNxixWEyhoaH022+/UadOncjQ0JCcnZ1p2bJldP36dRIKhQr3lZKSQn/99Re1b9+eGIahCRMm0O3bt0vtmliWpWnTplGHDh0oOztb5X7y8vJIR0eHJBKJ7LWcnBxauXIlWVpa0owZM+Smcb92WJalqKgo8vb2Jjc3N6pSpQpVq1aNRo0aRdu3b6cnT558sULIslLKi2ur5jRnC2JzT5WJvZzwVWDS09Npw4YNVKdOHWrTpg0dOHCAhEIhsSxLd+7coZkzZ5KNjQ05OjrSli1byvUmUqtWLXr58iUREf3+++9Uu3ZtevXqVYntPD09adSoUUqPJxAISFtbW85TYlmWAgMDqXnz5tS6dWs6e/Zsmd1IWJalR48e0aZNm6h///5kampKzZo1ozlz5tCZM2coKytLqf6EQiEFBATQ4MGDycTEhIYNG0YnT54kXV1dysnJKaWr+D9SqZTGjRtHXbp0odzcXJX6iI6Oprp16xb6XlJSEk2dOpUsLS1pzZo1Ko/xJcOyLD1//px27dpFY8aMoZo1a5KNjQ0NHTqUNm/erNRMQHkhlUrp5MmT5OLiQssW1CJBXEM1hM+BWFbxB0J14ITvC0AikdCJEyeoa9euVKVKFVq+fLls4VwsFtPZs2dp5MiRZGJiQv3796cjR45QXl5emdrYoEEDevz4seznbdu2ka2tLT158qTYdllZWVS1alW6deuWUuO9fv2abG1tiSj/BnL27Flq3bo1NWvWrMwCKd68eUN79+4ld3d3qly5MtWqVYt+/PFHOnToUKGeaEmwLEs3b96kKVOmkJWVFbm4uNDOnTspLS1Ndg6fz1c6aEVVJBIJjRw5kvr06aOUh/qRs2fPUvfu3Ys95+nTpzR48GCqXr067du3T847/BZ5/fo17d+/n8aPH092dnZkbm5OAwYMoPXr11N4eDiJxeLyNpGI8r35v//+mxo0aEAODg508OBBEgneqzHd2ZSkmX+Umf2c8H1hPHz4kH766ScyMzOj77//nu7evSt7LyMjg/bt20ddu3Ylc3NzGj9+PF27dq1MnhqbNWtG9+/fl3tt3759VLly5QKvf86uXbvI2dlZKbG6efMmtW3bli5dukTt27enhg0b0pEjR0r1WlNSUsjf358mT55M9evXJ0tLSxo+fDjt2LFD5u2qwsuXL2n58uVkZ2dH9evXp99++63QdTuWZQlAmU6HiUQiGjhwIA0ZMkTpm+62bdtowoQJCp1748YNcnJyoubNm9OFCxdUMfWrJD4+nvz8/Gjy5MnUuHFjMjExoV69etGaNWvoxo0bKj2QqMP79+9pxYoVVKlSJerTpw9duXJF7vvICkLyRUwp0WtM0g8jiGXL5oGOiBO+L5YPHz7QmjVryNbWlpydneno0aNyN6a4uDhau3YtNWnShGrUqEGLFi2S88g0TZs2bQqN2Dt69CjZ2NjQzZs3i2wrkUioadOm5O/vr/B4v/32G1laWpKdnR35+vqWiqeQm5tLFy5coIULF1Lr1q3JyMiIevXqRevWraP79++rJbKpqam0Y8cOcnZ2JisrK5o2bRrdunWrWFETCoWkpaWl8piqIhAIqGfPnjR69Gilrnnu3Lnk5eWl8Pksy5K/vz/Z2dlRjx49ig1c+lZJTk6m48eP08yZM8nBwYGMjIyoS5cutHz5crp69WqpTRk/f/6cpkyZQmZmZjRu3Dh69OhRkeeyeZf/E7/6inl6H0YRK1V9LVkVOOH7whGLxXTkyBHq0KEDVa9enby8vArs/YuIiKC5c+dSlSpVqFWrVrRhwwaN7zHq0KFDkVGTZ86cIWtra7p69WqR7c+fP0/16tUr8Qk2LCyMunfvTpaWlvTdd99pdOpHLBZTWFgYrVq1ir777jsyNDSk9u3b09KlSykoKEjtp2uhUEiBgYE0ZMgQMjExoaFDh9KJEycU7jcnJ4f09PTUskFVcnJyqFOnTjRhwgSFPc5BgwbRkSNHlB5LJBLR1q1bqVKlSvT9999/1dsA1CUtLY1Onz5N8+fPp7Zt25KBgQE5OzvTkiVL6Pz580qvLX9OaGgoDR48mCwtLWnx4sX07t07hdqxoickTZ2c780lNCkgeDmvG1D6i+Ykzd5DLFv207ec8H1F3Llzh8aMGUNmZmY0YcKEAk9lEomELly4QB4eHmRqakq9e/cmX19fjQRLdOnSpdgpqitXrpC1tTWdOXOmyHN69epFGzZsKPS9u3fvUt++fal69eq0Y8cOWrhwIa1YsUItm1mWpcePH9OWLVto4MCBZGZmRk2aNKGZM2fSqVOn1Npj+OkYYWFhssQEzs7O9Pfff8ut2ynC+7cf6M6V+1TFoDq9evCaBLllv6czMzOT2rVrRzNnzlRI/Fq0aKFWkoCMjAxasmQJWVhY0M8//6zS9gqWZSk1KZ3insbTu1eJlJv1dQfRZGVl0fnz52nJkiXk7OxMBgYG1LZtW5o/fz6dOnVKoe+dRCKh48ePU/v27al27dq0efNmlQWUlXwgadY2kn4YTdL3/Un6fihJU6fT44jdVKdOnXIL3uGE7yskMTGRli1bRpUrV6auXbvSyZMnC3zBsrOz6cCBA9SzZ0/ZeuGlS5dUnjLs3bs3nTpVfCjyzZs3ycbGho4dO1bo+48ePSJra2s5jzUyMpJcXV2patWqtGXLFtkm/rFjx9KuXbuUtvPt27f0zz//kIeHB1WtWpWqV69OY8eOJV9fX0pISFC6v6J49eoVrVixgurXr092dna0YsUKhaJcP0UsEtO1I6E0ufUC6q0/kvqbjKbOzEDqbzKa+hm50+ZpuyjumWJP4JoiLS2NHBwcaPHixQXee/XgNW2etovmd1tO09ototZanWj7gn30Pl697ENxcXE0btw4srGxoU2bNinkIWemZtHRP07SiGo/UW+9kdTfOP8z66UzguZ3W07h5yMqfMSkJsjNzaWrV6/S8uXLqUuXLmRkZEQODg40c+ZMOn78uFwkeE5ODnl7e1O9evWoTZs2dOTIkVILpmFZllq0aEHnz58nlpUQK00hVhxLrCS5TNb6uFydXzEikQhHjhzBpk2bkJaWhmnTpmHcuHEFEusmJCTg0KFDOHDgAJKTkzFq1Ch4eHigadOmCo81aNAgjB49GkOGFF9PKzIyEr1794aXlxfGjBlT4P2JEyfC0NAQP/30E5YtW4agoCAsXLgQkyZNkivA2atXL8yYMQN9+vQpdrz09HRcu3ZNlvcyOTkZ3333naySQb169TSWGDw9PR1Hjx6Fj48Pnjx5guHDh8PDwwOOjo5Kj/HoRjQ8B66FRCwpslyWljYfPD4Pjv1a4ef906Gjp6OJyyiRDx8+oFOnTrLivCHHb8F3pT/inr2DRCQBK/1/LTYdPW0QAQ5dm8DDcxjs26pe9eLhw4dYuHAhnj17hjVr1mDo0KEFPlciwj5PPxz74xQYHgNhrqjQvvSN9GBgoo9f/eejoWPFrMRRGohEIty5c0eWbzQ0NBRVqlSBsbExnj59CicnJ/zyyy9wdnYu9YT5Pv/8DkMmEK49BQCJAYYPkBQAA+gPAGP4AxiteqUyNid83wD0X43ATZs24cKFCxg9ejSmT59eaOmdqKgo+Pj4wNfXFxYWFrIiulWrVi12DDc3NwwYMACjRo0q0Z7o6Gj06NEDixYtwuTJk+XeCwsLQ6dOnWBkZIQFCxZg2rRphZaCad68Of75558Cdf0EAgFCQ0NlQvf48WM4OTnJhK5FixYarbotFovx77//Yv/+/bhw4QK6d+8ODw8P9O7dGzo6qgnR7XP3sWLY+iJv2p+jq6+Dmo2r48+g5dDV11VpTGVJSEhAJ5dO6GjTA0kP0iEsoZgzwwA6ejqYumUceo/rqtbYly9fxvz586Gjo4P169fD2dkZQH59wNWjNuHW6bsQ5CpWXFrXQAe/HpuHNr0cSj75K+Pp06dYv349/Pz80KRJExgYGOD+/fuwsrKSJd52cXHReAFtYnNBGfNBwiCIhELo6hYmsHwA2oB2YzBmW8HwNZv8u1SFLy05A+d2XcKtM/eQnZ4DvhYfllXM0WtcF3QY1BZa2qpn5udQjbdv3+Kvv/7Czp070aZNG8ycORPdu3cv8HTHsiyCgoLg4+ODgIAAtG7dGh4eHhg8eDCMjIwAAIJcIa4eCsG/e6/g6cPn0NPVQ5XqleE0oDX6TewOi8rmRdoRExODbt26YdKkSZg/fz5ev36N3377DSdOnECLFi1gZGSEwMDAItvb2Njg4cOHsLKywv3792VCFxYWhsaNG8uEzsnJSePFRIkI4eHh8PHxweHDh1G/fn14eHhg+PDhMDcv+poV4cX9GMzquBRCBW/cH9HR00Hz7xpj1elFZVLaioiwcvSfuOZ3AzxS/EFCV18Hs/6eiG7uLmqNz7IsDh48iCVLlsDBwQFeXl64suMmzu68rPRnp2ugiw3BK2DXsuJXRFEXIkJISAjWr1+PmzdvYvLkyZg6dSpsbGwA5H+ujx49ktUkDA4Ohr6+vkwEO3XqhLp166r8HSM2E5QyApC+BaDI70kL4JmDsTwKhl/8w7cylIrwxT55i72/HEL4ufsAw0CUJ//kqm+sBx6Ph4FTe8Ft0SDoG1asKsffAnl5eTh48CA2bdoEiUSC6dOnY8yYMYV6V3l5eTh58iR8fHwQEhKCPt37opqgLqKvvgJ4DATZ8lNxH6e3WvVojh+93FGzYeFlbuLj49G5c2eYmpri1atXmDp1KubMmQNdXV3Y29vj0KFD6NChg1wbIkJUVBSaN2+OgQMH4tq1a6hcubJM6Dp16gQzMzONfU6f8vr1a1l9O6lUCg8PD4wePRp169bV2BhzOnni4fUnKrXVM9TFmnNL0MS59GsKXjt8A3/8+BcEJXh6haFroIPt99fD1q6K2nYIBAJs3boVG1ZvQuOsdvkzZSrQoE1dbL3lpbY9FRWJRIKAgACsX78eqampmDNnDr7//nsYGBRfR4iI8PTpU5kQBgUFgWVZOSFs2LChQkJIJAKljgLETwCIlbCeB/CqgLE6CYZnrES7otG48N27/BC/uq6FMFeEkrrW0dNGlTqVsO7KMpjbqFfslUM16JMagdevX8fYsWMxdepU1KpVq9Dzo+48waIeq5CbkQeGeMX2zTCAroEeVpxYAIcu8uuFCQkJWLNmDfbv3w9dXV0MHjwY3t7esj8gHx8fbNu2DTdv3kRiYiIuX76My5cv49KlS5BIJMjMzMT27dvRtWvXEqdh1SEjI0O2bhcVFSVbt2vXrp3GPauEV0n4sclsiATK3BT+D8MA7fq3xorAhRq1qzDGN5mNN4/fqtSWr81Hnx+7Ysa2nzRmz/oJ3ji/5yrAlnxuYejo68D7ztoiH9K+VLKzs7F3715s2LABVapUwbx58zBgwACVp/uJCDExMQgKCpKJYVZWFlxcXGRC2LRp00L7p7wAUMYyAHkqjKwDGE4Az3iGSnZ/TvF3LiV5fPMpPAd6QZAjLFH0AEAkEOPtswTMcVmK3CxVPgwOdWEYBp07d0ZAQADCw8PBsixatWqFwYMHIygoSO73mP4+A7+5boAwU1Si6AEAESDIEWDpgLV4Gv4CAPD+/XvMmzcPTZo0gZaWFp4+fYro6GhERERg4sSJkEqlyMjIgLGxMWJiYlC9enU0atQIx48fR+vWrXHp0iUEBASgcePG8PDwKBXRE4vFOH36NEaMGIEaNWrg7NmzmD17Nt69ewdvb284OTmVynRi4NZzyE/OohpEwJ3zkUhLStecUYXw7O5LJL1+r3J7qViKC/8EIS9HzWrd/yHMEyLoUKjKopdvkwQBm85oxJ6KQEJCApYsWYJatWrh2rVrOHDgAG7cuIFBgwaptcbNMAzq1KmDsWPHYt++fXj16hXu3buHwYMHIyoqCm5ubrCyskL//v2xbt063L59GxKJBABA2X9DNdEDABGQ6wMiicq2f4rGhE8kEGFJ3zUKL8h/RCqRIin2AzZP2akpUzhUpHbt2vjjjz8QGxuLbt26YeLEiXBwcMCePXsgEAjw+5ityHifqfTNWZgrxKLeq/DzwkWwt7eHQCDAw4cP8eeff6JSpUowMDDA0qVLceHCBVSqVAm2trbYunUrBgwYAJZlERcXh9/mrUHuHWD7BF9s8dgL89fV4bvqmMZu8h/X7WbMmIFq1aphzZo1+O677xATE4Pjx4/D1dVV5WAVRQk7dQcSkXp/2Fo6WngQ9FhDFhXOKe/zEAtV80o/wuMxuBFwWyP2RN96AR5fvVuZVMLiRqBm7ClPoqKiMH78eDRq1Ajp6ekICwuDv78/2rdvX2pjVq9eHe7u7vj7778RHR2NJ0+eYMyYMYiNjcWPP/4ICwsLTJ3YGSLBazVHkgDCK5owGRqLLgk6ehNSiWoT7GKhGNf9wzBl01iYWGhmDpdDdYyMjDBlyhRMmjQJFy5cwObNm+G5YBkaZbQDSVXzSNJT0xF3j3D//n3Y2toiIiICvr6+uHTpEkJDQ9GwYUMMGzYMwcHBsLGxwbFjx6CtrY1+LYdgVK1JICE+mz7n4eDq4/BddRytezTHmGXDUa9FbaXtio2Nha+vL3x8fCASieDh4YHQ0FDUq1c6YdTFkZOp/qwHK5UiKy1HA9YUzZvoeLktC6ogyBEi4VWSRuxJTUpTaIapJDLTsrFt2zbw+XzweLwK/y+Ply/2RIRr165h/fr1uHv3LqZNm4bnz5/DyspK7c9EFSpXroxhw4Zh2LBhAICUlBQkxXhCi/9OvY4pByQ4C0avh9o2amyN78emsxEbpdqcP5C/4D1m2QgMnzdAE+ZwaJjfJ27BxT3BgIrBAwBAxmJQ6yxERkbCyspKFpDSuXNnWTSkSCTC6NGjkZ6WgTa6nRBx9RFEecV7FwzDQEdfBwv2TYXLUKcS7cjIyMCxY8fg4+ODhw8fytbtSmsKszCICCkpKYiNjcWbN28QGxuLf3+5CWmueoKiZ6iLyRvGos+P6m0ZEIvFSEtLK/S4uDIMOUnqT1P2mdQVA+f1QFZWFjIzM+X+Ley1ot6zkFaGPesALWirZQ/DB+r9ZA2WZSGVStX6VxN9lPQvEcl9X7W1taGjo1MhRPnzf0f2ewrnVqrrw/8vsi14lgfU7kYjwhf3NB6TWy6AME+5ac7PsalpDd8Yb3XN4SgFhliPRWZKtlp9EMPiidlt6JpqY9y4cXB3d0ft2gW9NJFIhMF1PSBIkIJhFRciXX0d/HJ4Dtr1a1XgPbFYjAsXLsDHxwfnzp1Dly5d4OHhgb59+0JXV/N738RiMeLj42Wi9qnAvXnzBm/evIGuri5q1KiBmjVrokaNGog7mo6cZPUExcBEHwv/mY72A9tAJBIVKV4lHQKBAGZmZjA3N5cdJiYmMDQ0RMoFIQSJ6k3JEggJeq+QWykNxsbGMDExkftX0ddMTEwQffMFfh30O3LV9JjNbExxNHGXWn2UBVlZWdi1axc2bNiA2rVrY/bs2ejRI98LKm2xVVXYnZtfROM6j9S/eA0Jn0amOpPffICWjpbawpeamIYXL17IvaaKLpdVm691rM/bsCwhM1U90QMAIxMjXDh1CZlMKg4cOIC2bdvC3t4eHh4eGDZsmMzrO7n1PJCmDYZVzvsR5omwym0D/nmxBRaVzUFEuHv3Lnx8fODn54c6depgzJgx2LZtGywt1dsQm5WVVUDMPv03KSkJlStXlhO2li1bwtXVVfazsbH8tL6fbSB8VhwtsP1HGbKzcjBi8hCkjkqBSCSCmZkZTExMYGRkBENDQ+jr60NXVxc6Ojrg8/ng8/nQ1taGtbU1zM3NIRaLIRKJkJOTg+zsbGRmZuLly5fIzMwEj8eDsbExaosbwRQ2YKC6d2xgrI/te/9Cx8GOKvfxkUZO9dUKCgIAvhYfzoPbqm1LaRIfH4/Nmzdj165d6N69O/z9/dGmTZvyNksh2CwJkPMYakUgAQBPMxvZNSJ8+VGc6vcjFople0LUPXg8nsptlKWs2pTlWHJtWAaVqYFaN7qPCPNEcOrqBCcnJ2zYsAHnzp3DgQMHMH/+fHTv3h2jRo6C39ozSm9ClpnKsji4zh9ZVu/h4+MDgUAADw8PhISEFJqppqg+kpKSihU2kUgkJ2o1a9ZE7969UbNmTdSsWRNVq1aFtnb+1JtAIJDzpmJiYnDv3r0CXlZqUhqEAh2VP2cCIdsoFSwjhY6ODoRCIbKysmTvMwwDLS0t6OnpQV9fXynPytjYWOYZv32egInN56q87QIA+Hw+nPoX9MxVQUdPB73Hd8Ep7wuQiFXzRPnafAye2Vcj9miaBw8e4I8//sCpU6cwZswY3Llzp9CZkooMo9cZlLsLIDW8csYQjH7xKQoVRSPCZ2RmCE0sjegZ6OLZw2cQCoUQCAQQCoVKHaq2+bQdAOjq6hZ66OnpFfmeptp8fr6WllaZrTt9RCKRICYmBo8fP8aTJ0/w+PFjvIvOVbvfjIwMTJo2AS06NkXLli1hb28PR0dHDBgwQLZfbvOv3uC9NwZfxa+mSCCG/8ZTsBtXCX///Tc6dOhQ4PMTCASIi4srUtjevn0LU1PTAsLWokULmJqaQl9fHyzLIj09PV+wUlPx7t07REZG4sOHD0hNTUV6ejoyMzORnZ0NlmVlnpa2trZs3QPIF1mJRAKxWAyBQIC61AzWqAqeCgHX2rra+G3fL6jvUFcmVqURiWprVwX1HGrj8c1nKrXX1tXGgCk9NZq5adD0Pjiz46Jy+6I/oXbTGqjeoJrG7FEXIsKlS5ewfv16PHz4EDNmzMDGjRvVzgxUXjDaTUG8KoD0lRq98AHdLpqxRxNrfGlJ6XCvNUXtEOf6repgW/hadc1RC4lEUmoiq0o7qVRaauLK4/HyI66SkpCQkID4+HjExsYiPj4eVlZWsLOzQ/369f/X3nlHRXG2ffhaFnYXELGAgiX2glhiImCnqFGjEowlRhNfrBiNXYyKvcSGNbGgsetri93EDqio2IkoKiqKBURRkQ5b5vvDl/0kKGV3EcS5zvHgcWfmuXdx5zf3czfs7OwIXhLGi8hXen22Eik8r32PW3dvIpVKUSgUpKSkIJFIqF27NnXr1iXlnJSXd+L1WkdhLqfXnM4oykszCdr9+/eJjIwkLi4OKysrSpUqhbm5uTYhQKPRoFQqSUtLIzExkYSEBJKTk0lJSUEQBExMTDI9iLwtWhmelLm5udZTKlGiBKVLl9ZuN74rPvVvDystXslQx/G8jk3I4V1mRm4mx33wVwycl7Xxd35w5fg1Jv+vUUVeMbVQsPbmEqzKlTKoTX7eGzmw4miedwsU5nIWnZ6hU1awoUlPT2f79u34+vqiVqsZM2YM33//fb7EoT80QvJuhIRpOnp9MjDvj5HFCIPYYrCsTp+Ov3Lx0FWdtzxNLRSM/mMwzt1yzsr7lFCr1aSnp+sltPHx8URFRREdHU1MTAwvXrzgxYsXJCUlYW5uro39yGQy7fZcxgNAamoqCQkJFE+2oqamAcYS3TLnBAQsasip0qEsMpmM5ORknj9/ztOnT3n06BGPHj1CJpPRMNUZudo05wtm95mh4p7RdZ5KHyIIgjYYLwhCJk/LyMgImUyGXC7H1NRUK1qWlpbaxA5ra2usra0pXbp0JvH6t3AZGxvOe3lw4xGjnCeT9Do5V2UDCjM5Lbs1YczawR90d2D7vDcxybyIn9xMxqyDE2jgYm9wezQaDXP/8ztn91zIQ5NqOdP3juWL1vUNbk9eiIuLY9WqVSxdupTatWszZswY2rZt+8F3e/ITQUhHeNEDVLfJe8syGyRW+5AYGabDl8GE75/AG0x0n5Olb2NuMbc0489na8TG1XoQGxvLzZs3tduTGX+PjY2lVq1a2NnZUadOHezs7LCzs6N69erv3QqLiIhg1apVrF+/Hjs7O/r16c/2IYd06s0IoJFoCLe4TIuvm2Jvb6/1rDIEPSkpiSdPnqA5VQypSr+0dCQCpRzMqOZWgTJlymBjY4ONjQ3W1tZasSpWrJhBxcrQPHsUy6zvF3P3SgRqtQa1MmsdiWmxNz1ue03qSvcx7gVyk9y1+CDrJm5FmarMNsHEWGaMicyY6ft+4XPXuvlmjyAIbJy2k00zd2BsbIw6/d31N6bFFBQrac6UXd7UamS4Xqt5JTIykiVLlrB+/Xq+/vprRo8eTcOGRXdShKCJ+1+T6idAbh6YjMHIEkmpnUiMDddOzmDf/PrOdShf3YYHNx6980uaHXIzOT19uoiilwsEQSAqKipT/C1D4NLS0jIJW5s2bbCzs6NSpUq5alOkVCo5cOAAK1eu5OrVq/Tu3ZuTJ09Sq1YtACSPFGydvSfPW0nGMmMq1rPFudObUUJHjx6lXr16mJiY8PTpU6KiooiPj6dMmTLUlDYCPbsSSU2MadvxKzwn9NR6eB8bZSpasSRoJo/Do9iz9G+ObTxJalIaRtI3W7KV7Crw3S8etOza+IPN4XsXXUZ0pIGzPTvm7+PM3gtIjIwy/f8wtVAgkUjoMLANHkPbU6Zi/hZVSyQSbJuW4HHlG/w6bD67Fv7Fy6dxGJtIEQQBtVJNw1b16O79DQ1c7AvMo7py5Qq+vr4cPnyYvn37EhISwmeffVYgtnxIJEYloPQuhNejIO0cb7I83+X9ZYwlqoWkxHIkUmvD2mHIJtVxz18zqKE3r5/Ho8ql+MnN5DTzcGDcpmFFyq3XF7VazYMHDzIJW1hYGLdu3UKhUGQSuIy/29ra6vQZRkZGsnr1atauXUu1atXw8vKia9euWcb5qFQqPKr3JO2xBnJZX6dGjdo4ndT6sZSraIuNjQ1JSUmcPHkSExMThg8fzrfffsvDhw/x9/fHf2kwPJfplNyRgWAk8Nj6Fk9THuPg4ICjo6P2j62t/hMBCgpluhJlmgrTYopC+V2Jf5nAye1niYqIIel1MpalLajaoDLNOjsik+vpxecSjUaDg4MD48aNo1u3bgiCQGJcEomvkjCWGVO8dLEPNrPwXbYdPnwYX19f7ty5w/DhwxkwYACWlp9mg35B9RAheROk7ARB89YgWgFMOyAx64PEpFa+rG3w6Qwvn75ijNs0nj9+ke22Z0a3jbaeLgxZ2vejfTLXl/T0dO7cuZPJewsLC+POnTtYW1u/U+BKldI/KUClUvH333+zcuVKzp8/zw8//MDAgQOpUqUK0dHRREdHa+OCUVFRPHnyhBMnTpAQn0A1dT1Kp9tghBGSbARKbi6ncp2KzDkykWIl/n/ckSAI3L17l/nz57Nt2zaSk5OpWLEinTt3xr5iA/ZMOqZzOQOARqYi2Ogo5SuUp0KFCpiYmBAXF8edO3coVqxYJiFs1KiRdr6gyMfPjh07mDdvHhcuXCg095S0tDS2bNnCggULMDExYcyYMXTv3j3fe79+LAiCEjSvQEgEiRkYlUIiyd/PJl/m8aWnKTm54yzb5+3j6f1naNQalGlKjIzeiJ1apcHx64Z0G+2OfdPMiq7RaAg9dZPo+89ITUrFvLgZlewrUOOLqoXyKTe3JCUlaRu4vu3FPXjwgEqVKmWJv9WuXdugN+SkpCSio6MJCQlh27ZtHD9+HDMzMypVqoRcLtdmdqampmJra4utrS3lypXD1vaNl3b48GHi4+NZvXo1VatW5fm9V/y58ADBBy5hZCxFlaZEpVJjZGyEsVRK9S+q8t3Yb3Dq8AVSqZTY2Fj8/f05duwYx44dQ6lUaluWxcfHs2jRIqpWrcqIESP4recG1Am6/bc0lkv5aWEf2vd348aNG1y+fJlLly5x6dIlrl+/TsWKFbGxsdFmtEZERFC1atVMYli3bl1tko/Ix4NSqcTe3p5ly5bRpk2bgjaHly9fsnLlSn777TcaNGjAmDFjaNWq1Ud9Hysq5OsEdoA7VyIIPX2ThFeJmMhMKFHGkibujbLM34t/mcDhtf78ufAgqUmpCBoBjVqD1PjN3rxV+VJ8N9YDlx7NUJgV3tTely9fvjPB5NmzZ9SoUSOLwNWoUUOvVOXExMRMntn7fqampmJiYqItvHZycqJ+/fqZBK5cuXKULFky0xdTo9Hg5eXF7du3OXToUJZBtfEvEjj/1xXinscT4B9AsjKJmcumYlWxJEFBQRw7dozjx49z9+5dWrZsSevWrbWxx7fXSUxMpHfv3uzbt4+6ZRpSPq4GyrS8B/s0UhXF20lY+ccKypYtm+m19PR0rl+/rhXCy5cvExYWRoUKFbC2tkYQBJ4+fcrz58/5/PPPtULo5ORE5cqVxRtWIWf16tVs3bqVEydOFOjvKiIigsWLF7N582a++eYbRo0aRb169XI+UeSDke/ClxsuH/uHqV18EdSabNueKYrJUZjKme8/lcr2FT+ghZnJuEH+O/528+ZNkpOTtaL2tshVqVIl13OwBEEgISEhWzHL+Ltarc4kXG//lMlknD17lj179lC2bFm8vLzo0aNHrj1JQRAYPHgwoaGhHDp0KEuLrbfRaDTMnj2bnTt3Ym1tTXBwMPXr19cKnZOT0zu9KEEQOHjwIKNGjaJOnTr8+uuvHDt2jPU+27BOr5inptiKYgrm+09m4+51rF27lqVLl9K9e/dsz8kYkfS2Z3j79m0qVKhAyZIlSU9P58mTJwCZvEJHR0e9256JGI6UlBRq1KjBrl27cHLSvw2aLly4cAFfX1/8/f0ZMGAAQ4cOzdchySK6U+DCF3zwMjO/W5jrPp8SyZsb3JKgmVSpVylfbdNoNERGRr5T4ExMTN4Zfytfvvx7nzYFQchUU/dvEXv7pyAIlCtXLouY/VvgihcvnsVDO378OH5+fvj7+9OtWze8vLz48su8tYcSBIFhw4Zx6dIljhw5QvHixbMcExkZqfXoTpw4gampKWq1muXLl+Pi4pJj0P7WrVuMGDGCyMhIFi9eTNu2bbWvJSQkMMpjAvcCnvwvlvj+J3iZqQy5qYx5xydri5DPnz+Pp6cn9erVY9myZVhb5z4rLCUlhWvXrmXyDO/cuaP9vFNSUnj8+DE2NjaZhLBhw4aYmupXgyiiG76+vpw9e5bdu3d/0HU1Gg0HDx7E19eXhw8fMnLkSPr27ZvtQ6JIwVOgwnf/+kOGNp6gUyJD8dIWrLu1hOKl9f8PplQquXv3bhaBCw8Pp1SpUlm2J+3s7DLdSAVBIC4uLkcxi4qKQiqV5ihmtra2WFhY5Gm75tmzZ6xbt45Vq1ZhYWHBoEGD6Nmz5zsFKycEQWDUqFGcOXOGY8eOaQUsLi6OgIAAbZzu9evXWo+udevWpKam0r59+yyNxv9NXFwc06dPZ9OmTfj4+DBkyJD3xtSO7fJn7HeTKKUp+2bbO2P3UwJIBeQKOT3HfUuHgW2wtMr8XlNSUpg8eTKbN29m2bJlfPvtt3n+LDJITk4mJCREK4QXL17k/v372NraYmZmRmJiIjExMdjZ2eHk5KQVw9q1a+s18VokZ+Li4qhZsyaBgYHUqVPng6yZkpLCpk2bWLBgARYWFnh7e9OlS5dCXRsq8v8UqPBN776AoN3nEXTorC4zldFrYhd6js/9zSw5OZnbt29nib9FRERQsWLFLAJXq1Yt1Gp1jmIWHR2NTCbLUcwyBM1QZAygXLlyJUeOHOHbb7/Fy8sLR0dHnWMcgiAwduxY/P39+fvvv7l165bWq7tx4wbNmjXTil29evUyZc4lJiZSpkwZkpKS3rm+Wq1m3bp1TJo0iY4dOzJr1izKlCmTrT2TJk3i+fPneA8fy/SfZ3PlbAh169THpU1LXiqfEXz3DPv27c32GmfPnsXT05NGjRrx22+/GWyLMjExUSuGly5d4sKFCzx69AgbGxtMTEx4/fo1SUlJODg4aMXQycmJ8uULT0/IosDEiRN58uQJ69aty/e1YmNjWb58OcuWLcPR0ZExY8bQsmVLMf77kVFgwvc6Np6enw3Sq8O7pXVxtketyvJEHRcX984Ek+joaKpXr07t2rWpXLkyZcqUwcLCQpt1+K4tSIVCka2YZfz8d9JHfhIbG8uGDRtYtWoVJiYmDBo0iB9++IESJUrodV2NRsPAgQM5fPgwtWvX5sKFC9SuXVsrdE2aNMlS2/dvLC0tiYyMzGLLmTNnGDZsGKampixZsiRXW68JCQlUqVKF4OBg7UT0x48fM3PmTP7880/69+/PsmXLiImJwczMLNtrJScn4+Pjw44dO1ixYgXu7vkz8Dg+Pp6rV69mEsMnT55QpkwZpFIpL168wNTUlCZNmmjFsFGjRp9sLZe+PH36FHt7e65cuUKlSvkX+rhz5w6LFi1i69atdO3alVGjRmFnZ5dv64nkLwUmfNvm7mXz9J16zfBTmMtxn9AKpWUKN2/e5MaNG9y4cYP4+HgqVqyIlZUVxYoVw8TEBKVSSXx8PNHR0Tx9+hRzc/McxSxjG6swIAgCQUFBrFy5kr/++gt3d3e8vLxo2rSpXk+bT5484fjx4xw7doy9e/eiVCrp0aMHnTp1ws3NLc81g3Z2duzatUu75fT48WPGjh3L6dOnmTt3Lt9//32u7V2wYAEXL15k27ZtWV67d+8e06ZNY9u2bXz//fesWLEiV7+rU6dO0adPH5o3b/7But3HxcVx5coV7RZpcHAwz58/p3Tp0tpJ7BUqVKBZs2ZaMaxfv75Y55ULhg4dirGxMYsWLcqX6589exZfX19Onz7NoEGDGDJkCDY2NvmylsiHo8CEb3z7WVw6EqLXNQQEnsof8MziIUqlksTERIoVK0b58uXfK2blypXDxsbmo0lCePXqFRs3bsTPz09bWtC7d2+dt+sSEhIIDAzUil1MTAxubm6kpaVx69YtgoKCctx+zI5WrVoxfvx4mjdvjq+vL4sXL+ann35i3LhxefKK09LSqFq1KgcPHsy2d6GPjw+bN29GpVIxYcIE+vfvn2N5SFJSEuPGjWPPnj2sXr2a9u3b59ouQ/Hy5UuuXLmi9QqDg4N59eoVJUqUQKVSkZCQgJ2dHS1atNCKYfXq1cUttbeIiIjAwcGBW7du5Sl5KSfUajX79u3D19eXmJgYRo0ahaen5wfd1RHJXwpM+IY2Hs+tC9knQeSGOl9Vp8cUd22hdU5bcR8DgiAQHByMn58fe/fu5euvv8bLy0unWIJSqeTixYvaOF1ISAiOjo7a7cuGDRsyd+5cNm3aRGBgYJbat7zy448/UrJkSa1g+fr66jQ0c82aNezcuZPDhw9ne9yjR4/4/PPPOXToEFOnTiUsLIzJkyfTu3fvHBMNAgIC6Nu3L61atWLBggUFvt0YGxvL5cuXuXz5MufOneP8+fMkJCRgYWFBamoqGo2GL7/8kpYtW2rFUJ+HlI+dH3/8kWrVqjF16lSDXC85OZn169ezcOFCrKys8Pb2xsPDQ0xOKoIUmPCNdp3CtZNhel+n2xh3Bs770QAWFTyvX79m8+bN+Pn5kZKSwsCBA/H09MzT06wgCNy+fVvr0Z08eZLKlStrMy9btGiRaUtw3rx5rFmzhsDAQL37WF6/fp0OHTqQmprKf//7X1q1aqXTddRqNXXq1MHPzw8XF5ccj3dwcGDu3Lm4ublx5swZfHx8iI6OZtq0aXTv3j3b1lUJCQl4e3tz6NAh/vjjj0LR8eNtnj17pq0xDAoK4tKlSyQnJ2NmZkZSUhKWlpY4Ojri7OyMk5MTX3zxxSfhmYSGhtK6dWvu3LmjU+by28TExLBs2TJWrlxJs2bNGDNmjN4hBJHCTYEJ3/w+yzi28ST6LC9TmNB/zg90HmaYcfQFgSAIXLp0CT8/P3bt2kXr1q0ZNGgQrq6uue41GBMTw4kTJ7ReHUCbNm1o06YNrVq1eq9XsHDhQpYvX87Jkyf1yjR8+fIlU6ZMYfv27bRs2RIbGxt+//13na+3a9cu5s+fz7lz53J18/n111+Jjo7mt99+A/5/evXEiRNJTU1lxowZdOrUKdtrHT16lAEDBtC+fXvmz59fqOuwoqOjtfHCU6dOceXKFdLT05HL5SQlJVGhQgWaNm2Ki4sLTk5O2NvbFzmvxd3dHTc3N0aMGKHzNW7dusXChQvZuXMnPXr0YOTIkdSsWdNwRooUWgpM+K6fucX4djN1nu8GYCI3YcuD5ZQsW8Jwhn0gEhIS2Lp1KytXruTVq1cMHDiQPn365CpwnpyczKlTp7ReXWRkJC4uLlqvrmbNmjkKxtKlS1m8eDEnT56kYkXduuCo1WpWrVrF1KlT6dKlC9OnTycgIIDt27fz559/6nRNQRBwdHTEx8cHDw+PXJ0TFhZG27ZtefjwYab3LQgCBw4cYOLEiZiZmTFz5sxseyW+fv2a0aNHc+LECdasWYObm5tO7+FDkzGq6tKlS5w/f57AwEBCQ0NRqVRIpVKUSiU1atSgRYsWuLm54eTkRMWKFT9aj+bMmTP07NmT27dv5zm0IQgCp0+fxtfXl/PnzzN48GAGDx5s0BihSOGnwIRPEAR6V/+Zp/ef6XS+RAKNOzVi+t5fDGxZ/nL16lX8/PzYvn07Li4ueHl58dVXX2Xr3anVaq5cuaL16C5evEjDhg21cToHB4c8Fc4uX76c+fPnExgYqHMK+MmTJxk2bBglS5ZkyZIlNGjQAHhzU/L29ubs2bM6XffEiRP8/PPP3LhxI9ceryAI1K5dmy1bttCoUaMsr2s0Gnbs2MHkyZMpX748s2bNomnTpu+93qFDhxg4cCDffPMNc+bM+SinNwiCwKNHj7h8+TKnT5/m1KlThIWFaSfRy2Qy6tSpg6urK25ubjg4OHyQDNfc8uDGIy4eusqrZ6+RSKCEtSWNO31JhZrlcHZ2pk+fPvTp0yfX11OpVOzevRtfX1/i4uIYPXo0vXv3/miS3EQMS4EWsP+16hgrRm3QqXOL3EzOnCMTqdusdj5YZliSkpLYvn07fn5+REdHM2DAAPr27Zvt9uK9e/e0Hp2/vz+2trZaj87Z2VnnrbhVq1Yxa9YsAgICqFq1ap7Pj4yMxNvbm/PnzzN//ny6deuWyXO4f/8+Li4uREZG6mRfmzZt6NWrF56ennk6b9y4cRgbGzNz5sz3HqNSqdiwYQPTp0+nbt26zJw5870Zo69evWLEiBEEBQWxbt06WrZsmSd7CiOCIBAZGcnFixcJCAggKCiI8PBwBEFAo9FQokQJbX9VNzc3Pv/8c70aqOcVtUpN0O7zbJu3l4c3n6BRq1H9b4K6scwYI6kRpSoW50bSFc7dPY1cnnO5R2JiImvXrmXRokVUqFCBMWPG0KlTp0IzskikYChQ4dNoNEzsNId/Aq7nqZBdbibHY2h7+s/ulY/W6U9oaCh+fn5s3bqVpk2b4uXlRfv27d8Zb3nx4oV2bM/x48dJSUnJ1A7MEM1u165dy5QpUwgICNAWhOeW5ORk5s2bx2+//cawYcPw9vZ+Z91camoqlpaWpKSk5PnmcunSJTp37sy9e/fyXMMWHBxMv379uHHjRo7HpqWlsXr1an799VeaNWvG9OnT31uMvH//fn766Se6devGr7/+WmjqOg2FIAhERERw4cIFjh49yrlz54iIiADefD9tbW354osvaNu2LW5ubtSsWTNfRCMpPhmfr3/l3j8Pcgx/GCuMsW9Sixn7fsG02Ls9toyY76pVq3B1dWX06NE0btzY4HaLfJwUeJPqtJQ0pnjM4/qZ27ny/ORmctr2ceHnpf10jlGoVWrO7r9EwH9P8zImDo1aQwlrS5p/64Rz9yZ6TWhOSUlh586d+Pn58eDBA/r370+/fv347LPPMh2XmprKmTNntF5deHg4LVq00Aqdvb29QWMwGzZswMfHB39//zwF8AVBYOfOnXh7e9O4cWPmz5+f5b38GysrK27evJnnuEm3bt1o1qyZTgkLGo2GChUqEBgYmOv3l5yczO+//46vry/t27dnypQp7/SCX7x4wbBhw7h48SLr16/Pdpu0KKDRaLh37x5BQUEcOXKEixcv8vDhQ+DNAOlKlSrh6OhIhw4dcHV11TsbOCUplaGNJxB1NzrXo6hkChM+s6vAkjMzkSn+/yHpxo0bLFiwgL1799KrVy9GjBhBtWrV9LJPpOhR4MIHb2JY2+ft488FB1ApVaQkZJ7cLpGA3FxB8dLF8JzWgza9nXVaJzkhhR2++9n3+yHUKnWWdUyLKRCAdn1c6Tnh2zwlzdy8eRM/Pz82b96Mg4MDXl5edOzYURt702g0XLt2Tdvg+dy5c9jb22uzLxs3bpxvnTq2bNmCt7c3/v7+1K6d+63hf/75h+HDhxMXF8eSJUtwds7d516/fn02bdqkjfvlhvDwcJo1a8b9+/d1jqn99NNPVKlShbFjx+bpvNevX7No0SJ+//13unXrxsSJE9+5Db17926GDBnCDz/8wPTp0z+p+JBGoyE8PFybPXzlyhWioqIQBAGFQkG1atVo0qQJ7u7uODs75+l3OPXb+Vw8fDXP7QtlpjKaeTgyfvMwAgIC8PX15erVq/z8888MGjRIHBsl8l4KhfBloFapCT54md1L/uLp/WekpaRjaq6gSv3P6DqqE/Va2OnsBcU+ecFo16k8f/QCZVr2XzBjEynmJcxZEDCVSnXen/GYlpbGrl278PPz4/bt2/Tt25cBAwZoC7YfPnyYaWxPiRIltB6dq6ur3r01c8P27dsZMWIEx48fx97ePlfnxMbGMmnSJHbv3s20adMYMGBAntLh27Vrx/Dhw/PUEWXAgAGUL19er2Lko0ePMnXqVJ0Ta2JjY7V1jZ6enowbNy6L1/r8+XOGDBlCaGgo69evL7DZb4UBtVrNrVu3+Pvvvzl+/DjXrl3j2bNnCIJA8eLFqVWrFi1atKBz5844Ojq+cwLH0wfP6Gs3Isfv5PswMjYitlYEKeokRo8eTa9evYpEEwuR/KVQCV9+Ef8ygUENvXkZ/Qq1SpOrcyQSMLc0Z/nludhWydzN5M6dO6xatYoNGzbQoEEDvLy8cHd3Jzk5mcDAQK3YvXz5klatWmnFLj+b6L6LP//8k59//pljx47lagK0SqVixYoVzJgxgx49ejB16tQ89+oE6Nu3L82aNaNfv365Ov7JkyfUq1eP8PBwrKys8rxeBunp6djY2HDjxg29tt+io6OZNWsWW7duZfDgwYwePTrLQ8qOHTsYNmwYffr0YerUqR80CaQwo1KpuHbtGvv27SMwMJCwsDBevHgBvNkCt7e3x8XFhS5dumBvb4+f90b2/X5Im8SSVwSJgFP3BszY4iMmrIjkmk9C+Ma3n0lIwA1U6bmLH2RgZCShfA1b1oQtRqlUsnfvXvz8/AgNDcXT0xNPT09iY2O1cbrr16/TpEkTbVJKgwYNCuzLuGfPHgYNGsSRI0f4/PPPczz+xIkTDB8+HBsbGxYvXkzdunV1XnvixInI5XImTZqUq+PHjBmDSqVi8eLFOq+ZQa9evWjZsiVeXl56X+vBgwdMnz6dAwcOMGrUKIYOHZppCy8mJoaffvqJ8PBwNmzYkOdhv58KSqWS4OBg9u3bx+nTpwkPDycuLg5jI2Na0BGpoN8Mu2Ilzdn1fK0ofCK5psgL39MHz+hbZwRKHccfyc1kVO5szZ/HtlG7dm06dOiARCIhMDCQU6dOUaNGDW2crlmzZoVim2X//v0MGDCAQ4cO8cUXX2R77P379xk9ejQhISEsWLAADw8PvZNqli9fTmhoKCtWrMjx2JcvX1K9enVCQkJyTJrJDTt37mTNmjU59vjMC7dv32bKlCmcPHmScePG4eXlpf09C4LA1q1bGTlyJF5eXkycOFGcqpAL0tPT2bfjAKv7bEPQzdnTYiI3ZtvjVQYZSi3yaVDkH5H2/n5Ip0G3GaQmp3L76AOcnJwIDw9n+fLlhIeH07t3byIiIrh8+TJz5syhVatWhUL0/v77b/r378/BgwezFb3ExEQmTpyIg4MDX375JWFhYXTu3NkgmaTlypUjKioqV8cuX74cd3d3g4gevIkvnj17ltevXxvkegC1atVi27ZtHD58mBMnTlCzZk1Wr16NUqlEIpHQs2dPQkJCuHr1Kg4ODoSEhBhs7aKKTCbD8QtHFGb6JwhJjaUkxScbwCqRT4UiLXyCIHDojxN53uJ8GwlG8MKYVs6tOXXqFBEREaxatYru3bvrFY/KD44cOYKnpyf79+/HwcHhnccIgsCWLVuws7Pj/v37hISE4OPjY1DRzq3wJScn89tvv/HLL4brvmNhYUHLli35+++/DXbNDBo0aMD+/fvZsWMH27dvx87Oji1btqBWq7G1tWX//v2MHj2ar776iunTp6NU6j5k+VNAYa5A0OQu5p4dGrUGhXnBP3SKfDwUaeFLS0nXqxdoBqbmZnzTzqNQz0M7fvw4P/zwA3v27Hlvoe7ly5dp3rw5CxcuZNu2bWzZsoUKFSoY3JZy5crx5MmTHI9bu3YtTZs2Nfgk686dO7N3716DXvNtGjduzPHjx1m9ejXLli2jQYMG7NmzB4DevXtz9epVgoODady4MdevX883Oz5WUlNTCQwM5De/paQkp+Z8Qi6wKFn0J1KIGI4iLXypSalIjfXvSm9kJDGIgOYXAQEBfP/99+zatYtmzZplef3Zs2f079+fDh060KdPHy5cuPDO4wxF2bJlef78OSrV+z1tpVKJr6+vQb29DDp16sSRI0dITTXMTfV9uLq6cubMGebOncv06dNxcHDg8OHDlCtXjr/++ovBgwfj6urK7Nmzs/0sijrp6ekEBQUxY8YM3NzcsLKy4pdffkGlUWLXshpGRro/TBpJjXDr1QJjE/0SZEQ+LYq08JkVN0Ot1P+Go9FoMCteOIuVT506Rffu3dm5c2eWfpLp6eksXLiQOnXqULx4cW7dukX//v3zfUSNiYkJpUuX5tmz9zcg3759O1WqVMmXNlJlypShfv36+Pv7G/za/0YikdChQwcuX77ML7/8wsiRI3F2dub06dP069ePy5cv4+/vT9OmTbl582a+21MYUKlUBAcHM3v2bL766iusrKwYPny4dvpFVFQU58+fZ86cOQz1HYiJQvdkIBOZMV1GdDSg9SKfAkVa+GRyEyyt9Z+qrVFpsK5YuOJ58GYSQteuXdm6dWuWga2HDx+mfv36HD16lNOnT7Nw4cIPUjCfQXZxPo1Gw5w5cxg3bly+re/h4aHdfvwQGBkZ0a1bN65fv07//v3x9PSkbdu2xMTEcPToUfr160fLli2ZP38+arWeaYyFDLVazeXLl/H19aVDhw6ULl0aLy8vYmJiGDJkCJGRkZlef3twbM0vq1Ghhi1G0rzfiqTGUqo2qERle93Gaol8uhT5coZtc/eyefpO0lLSdTrfSGrEV54ujF79k4Ety0pqchqB285w/cwt4l8koDCTY1utLG09XSlXLfOcvuDgYNzd3dm0aRNt27bV/vudO3cYNWoUN2/eZNGiRXTs2LFA4pIdO3Zk4MCBuLu7Z3nt4MGDTJo0iStXruSbbRERETRp0oSoqKgCGcKanp7O2rVrmTlzJg4ODsyYMQNzc3P69u1LWloa69ato1atWh/cLkOg0WgIDQ0lICCAgIAATp06ha2tLa6urri6uuLs7JynPq3PHsUyqKE3ia+Scj2YWmIkoXhpC/xCfCltW3jGKYl8HBR54XsdG0/PzwbluQ9gBnJTGb9fmJOvT5XR92PY6bufYxtPgkRCauL/x6akJlKkUiNqfFmN78d3xunrL7h48SIdOnRg/fr1fP31m+nzCQkJzJw5kzVr1uDt7c2IESMKtJuIl5cXDRs2ZNCgQVlea968OUOHDuW7777LVxsaNGjAsmXLaN68eb6ukx0pKSmsWLGCuXPn0rp1a6ZMmaJtrebj48OwYcPeK8wqpYpz+y/x58IDPLn7lLSUdOSmMspXt6HrqE40cW/0QWJbgiAQFhamFbqTJ09SqlQprdC5uLjkaoBydjy6/YTRrlNJeJGASpm9R2wiM6a4dXEWBk7L8kAoIpIbirzwASzov4KArUF59vpMZMbUaVoLX/+p+WMYcNU/lCke80hPVaJWZf+FV5jLadCuDqtPLuGPNX/QqVMnNBoNmzZtYvz48bRp04Y5c+bo3S3fEEybNg21Ws306dMz/XtQUBCenp7cunUrT8NzdWHq1KkkJCSwYMGCfF0nNyQkJLB48WKWLFlC586d6d27NxMmTABg3bp1mcZEaTQats3Zw07fA6jVWZupw5uG6lJjKd293fnuFw+Ddi0RBIHw8HCt0AUGBmJubq4VOldX12xnSerKq2ev+e+sXRxeF4AESEnM2kReIpHQfkAreo7/VixYF9GZT0L4lOlKRrWcTMS1yFx7fsYmUqzKl2bFlXkUK5E/qdKhp28yvv1M0pJzL8hq1Ni71WDpsTlcuHCBYcOGAbB06dJC1TB59erVnD9/nj/++CPTv3fs2JFOnToZpKVYToSEhNClSxfu3r1baMpQXr58ia+vL35+fvTq1Qtra2uWLl3KlClTGDx4MGqVmmldfAkJuJGrMV0KMzmfu9Vl8p+jMZFlbQKdGzJm8r0tdFKpNJPQfcg+s2kpaZzccY7AHWd5/TwegBJlLHH7vjktujZGJtftfYqIZPBJCB+8iZ9N6TyPsLO3cyxNUJjLKVfNhnnHJ2NpVTzbY3Ul/kUCP1YdQnJCSp7PlZnKMGsIZyICmD17Nj/++GOh6lP46PYT/pi9kXMB52nXth0ly5agoVtdJKXUtGvXjvv373+QLjeCIFC1alX27dtH/fr18329vBATE8Ps2bPZtGkTXbt25erVq5ibmeNo7sqNwNt52p2Qm8pw6vglE7eNzLXAP3z4UCt0AQEBpKen4+bmphW6qlWrFpqHBRERQ/PJCB+8yT47u/ci2+ft5f71R6hVatT/iycYSY2QKUywrlia78Z64Pp983x9stw+by+bpumedCMrbsx/I1diaal/1qoh0Gg0nN13ke3z9hHxzwNUKjWatyZhKIopSNekUt2tIvO3zMLM4sOUh4wcOZKSJUsyefLkD7JeXnn06BEzZsxg165dfFmhMapQGVLyvgWsMJczZu0QnLs1eefrUVFRmYQuISEBFxcXrdDVqlVLFDqRT4ZPSvjeJvLmY87tv8TLp6/QqDWULFOCRm0bUMuhes4n64lGo6FH+YG8itG9n6TCXM6vf/tQr4Vhu57oQnqakpk9FnH1+LUcvWm5qYwSZS1ZGDiNMp/lbUK7Lpw6dYrhw4dz9erVfF9LH+7evctQpwmoXun+daz+RRVWXJoHvPEoAwMDtUIXGxuLs7OzVujs7e1FoRP5ZPlkha8guXIilKnfzntn0kJukUigqYcjU3d5G9CyvKNWqRnXbiZh58JJz6X3aiQ1onipYqz8AKnoGX00L1y4QOXKlfN1LX24f/0hQ53G67wDACCVSan4bQnO/nOaqKgoWrRooRW6+vXrF6rtcBGRgkTs81MAPAmPyvVA3PchCBAZ9thAFunOH+O3cDP4Tq5FD940FU54lcS4tjNY9c+CfPU8pFIpnTp1Yu/evYwYMSLf1tGX45tOodSjmTqAOl0FT2Vs2LCBhg0bFkj9oojIx4D4CFgApCSmamOL+pCamL+9KHMiJSmVAyuO5ir78N+oVWqePnhO6On8b+Pl4eGRr02rDUHMg2do1PpOKpBQxaYqjRo1EkVPRCQbROErAEyLKZCa6H9jUhQr2FEs/ltOo4+zlpaUyg7f/YYz6D20bt2aq1ev8vz583xfS1d0bbDwb/TZKhUR+VQQha8AKF/DFqmxfh+9RAKV7Aw/Uigv7FxwQK+pFYIAV49f49Uzww2NfRempqa0adOGgwcP5us6+mBpZZhibEvr/Cm/EREpSojCVwB87lYXhZl+7cTk5gq+HdHBQBbpRsyD909fyC0mchOi7z01gDXZ07lz5w/atDqvNHCti6meHryphYIGzvYGskhEpOgiCl8BYGRkRJeRHZGb6j6OxbK0RYGWMqjV6hx7KuaWpPi8F/HnlQ4dOhAYGEhiYmK+r6UL9VvbkZ6u3zalBAktuhp+zJOISFFDFL4Con2/VjoPyVWYyflhUtcCrcOSSqV6b9dmYGqe/820S5QoQePGjTly5Ei+r5UXnj9/zoQJE7Czr428mkTn2K+xzJivB7YW23mJiOQCUfgKiOKlLZhxYBxys7x5fXIzOc7fNaVtH9d8siz3lLLRvwZPmaakbOUyBrAmZzp37lxosjsfP37MiBEjqFWrFi9fvuTixYusObpM5y1wuZmMLgW89S0i8rEgCl8BUr9lHabvG4fif532c0JhLqfNjy0ZucqrUHTd8BjWXq/tWoCajaphXaG0gSzKHnd3d/766y+USsNkUOpCREQEXl5e2oLy0NBQVq5cSdWqVbEqX5q5RyehMM9brE9RTMHcI5OwKv9hPkcRkY8dUfgKmC9a1WNViC/t+7khN5Oj+Ne2n7GJFJnChDpNa+GzdSTDVwwsNDVa7fq4odHo3vjH1ELBd2M9DGdQDpQvX56aNWty8uTJD7ZmBmFhYfz44484OjpibW1NeHg4CxcuzDLep5ZDdRYHzaC4lUWOyS6mxRRYWlmwJGjmB2m1JyJSVBBblhUiUpJSCfhvEDfO3SY+NgGFuRzbaja09XShfPWCn7H3LuZ6/s6pHWfzXIcmkUDp8qXYfH/5BxXyOXPm8OjRI5YtW/ZB1rty5QqzZs0iKCiI4cOHM2TIkFw1Fs8YzbN93l6ePYzFSGqERq3R/izzmTU9fvGgZbfGyE0LbuCwiMjHiCh8InqRmpzGz07jeXInGlUeWm6ZWij4/fwcPqtt+IGm2XH79m1atWrFw4cP87V3ZVBQELNmzSI0NJQxY8YwYMAAzM11m+sYcS2Sx+FRJCekYmahoELNclSt/+Hm44mIFDVE4RPRm4RXifzy1Qwehj3OsXOI1ESKWTEF805MofrnVT6QhZmxs7Njw4YNODo6GvS6giBw7NgxZs2axaNHjxg3bhz/+c9/kMtFj0xEpDAhCp+IQUhPU7J/2WF2LjhASkIKKf/qI2paTIEgQNs+LvT4xaNAEzEmTJhAWryS9o07kfgqCSOpEZbWxWn0VX3MLfPulWk0Gvbv38+sWbNISkpiwoQJ9OjRA2NjsQe8iEhhRBQ+EYOi0WgI8b/O0Y0nefHkJSqVGksrCxp3bIRrj6YFGo/KsG2Vz0buXrqPmbkZKqUaiZEEY2MpKqUK525N6TKqI9UaVM7xeiqVih07djB79mxkMhk+Pj54eHiI439ERAo5ovCJfBKkJKYw6Zu53L54L9upFkZSI0zkxnzdvzWDFv7nnSKWnp7Oxo0bmTNnDjY2Nvj4+NCuXbtCUWIiIiKSM6LwiRR5UpPTGN7Uh8fhUbnOPpWbyWne2ZFfNg7VClpycjJ//PEH8+fPp06dOvj4+NCyZcv8NF1ERCQfEPdkRIo8s3osypPoAaQlpxG05wLb5uwhPj6eOXPmULVqVfz9/dm9ezdHjhwRRU9E5CNF9PhEijSRNx8zuNEveZoQ/zZGMiOumAfQpm1rxo8fT7169QxsoYiIyIdGTDsTKdLsXvwXamXu6wv/jaDRsHj87/Qa092AVomIiBQk4lanSJElJSmVE1tOo1ZpdL6GoIKA9ecMaJWIiEhBIwqfSJHlyZ1og4xOenQ7CjEiICJSdBCFT6TIkvQ62SAlBhLJm8xQERGRooEofCJFFplCv5FJGWjUAjKFOOBVRKSoIAqfSJHFqnwplGn6z94zK25aaEZBiYiI6I8ofCJFFusKpalct6Je1zA2MS4U0+5FREQMhyh8IkWa78Z6YGqRt4nmb2MkleDxc3sDWiQiIlLQiMInUqRp+o0DJjLdylWlxkbUdqqBbdWyBrZKRESkIBGFT6RIY2xizIwD45Gb5S3RRSKRUKxkMSb8d0T+GCYiIlJgiMInUuSp07gmU3ePRWGeu5FIUmMpJcoUZ/HpGZS2LZnP1omIiHxoxF6dIp8MEdci8RuzkdDTNwEBZVrmVmYKMzkajYYWXZvgNf9HSpYtUSB2ioiI5C+i8Il8cjx7FMv+ZYc5d+ASSa+TMZIaUby0BW09XfjqPy46TWEXERH5eBCFT0RERETkk0KM8YmIiIiIfFKIwiciIiIi8kkhCp+IiIiIyCeFKHwiIiIiIp8UovCJiIiIiHxSiMInIiIiIvJJIQqfiIiIiMgnhSh8IiIiIiKfFKLwiYiIiIh8UojCJyIiIiLySfF/RmxAzwINFewAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "parts = list(nx.community.label_propagation_communities(G))\n", "values = {n: i for i, ns in enumerate(parts) for n in ns}\n", "n_color = np.asarray([values[n] for n in G.nodes()])\n", "nx.draw(G, pos, node_color=n_color)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Clauset-Newman-Moore greedy modularity\n", "\n", "Definition - Modularity is the fraction of the edges that fall within the given groups minus the expected fraction if edges were distributed at random." ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function greedy_modularity_communities in module networkx.algorithms.community.modularity_max:\n", "\n", "greedy_modularity_communities(G, weight=None)\n", " Find communities in graph using Clauset-Newman-Moore greedy modularity\n", " maximization. This method currently supports the Graph class and does not\n", " consider edge weights.\n", " \n", " Greedy modularity maximization begins with each node in its own community\n", " and joins the pair of communities that most increases modularity until no\n", " such pair exists.\n", " \n", " Parameters\n", " ----------\n", " G : NetworkX graph\n", " \n", " Returns\n", " -------\n", " Yields sets of nodes, one for each community.\n", " \n", " Examples\n", " --------\n", " >>> from networkx.algorithms.community import greedy_modularity_communities\n", " >>> G = nx.karate_club_graph()\n", " >>> c = list(greedy_modularity_communities(G))\n", " >>> sorted(c[0])\n", " [8, 14, 15, 18, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33]\n", " \n", " References\n", " ----------\n", " .. [1] M. E. J Newman 'Networks: An Introduction', page 224\n", " Oxford University Press 2011.\n", " .. [2] Clauset, A., Newman, M. E., & Moore, C.\n", " \"Finding community structure in very large networks.\"\n", " Physical Review E 70(6), 2004.\n", "\n" ] } ], "source": [ "help(nx.community.greedy_modularity_communities)" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "parts = list(nx.community.greedy_modularity_communities(G))\n", "values = {n: i for i, ns in enumerate(parts) for n in ns}\n", "n_color = np.asarray([values[n] for n in G.nodes()])\n", "nx.draw(G, pos, node_color=n_color)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Louvain\n", "\n", "This works well on large graphs, and is used to cluster single-cell RNA-seq data into cell subsets." ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "import community as community_louvain" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function best_partition in module community.community_louvain:\n", "\n", "best_partition(graph, partition=None, weight='weight', resolution=1.0, randomize=None, random_state=None)\n", " Compute the partition of the graph nodes which maximises the modularity\n", " (or try..) using the Louvain heuristices\n", " \n", " This is the partition of highest modularity, i.e. the highest partition\n", " of the dendrogram generated by the Louvain algorithm.\n", " \n", " Parameters\n", " ----------\n", " graph : networkx.Graph\n", " the networkx graph which is decomposed\n", " partition : dict, optional\n", " the algorithm will start using this partition of the nodes.\n", " It's a dictionary where keys are their nodes and values the communities\n", " weight : str, optional\n", " the key in graph to use as weight. Default to 'weight'\n", " resolution : double, optional\n", " Will change the size of the communities, default to 1.\n", " represents the time described in\n", " \"Laplacian Dynamics and Multiscale Modular Structure in Networks\",\n", " R. Lambiotte, J.-C. Delvenne, M. Barahona\n", " randomize : boolean, optional\n", " Will randomize the node evaluation order and the community evaluation\n", " order to get different partitions at each call\n", " random_state : int, RandomState instance or None, optional (default=None)\n", " If int, random_state is the seed used by the random number generator;\n", " If RandomState instance, random_state is the random number generator;\n", " If None, the random number generator is the RandomState instance used\n", " by `np.random`.\n", " \n", " Returns\n", " -------\n", " partition : dictionnary\n", " The partition, with communities numbered from 0 to number of communities\n", " \n", " Raises\n", " ------\n", " NetworkXError\n", " If the graph is not Eulerian.\n", " \n", " See Also\n", " --------\n", " generate_dendrogram to obtain all the decompositions levels\n", " \n", " Notes\n", " -----\n", " Uses Louvain algorithm\n", " \n", " References\n", " ----------\n", " .. 1. Blondel, V.D. et al. Fast unfolding of communities in\n", " large networks. J. Stat. Mech 10008, 1-12(2008).\n", " \n", " Examples\n", " --------\n", " >>> #Basic usage\n", " >>> G=nx.erdos_renyi_graph(100, 0.01)\n", " >>> part = best_partition(G)\n", " \n", " >>> #other example to display a graph with its community :\n", " >>> #better with karate_graph() as defined in networkx examples\n", " >>> #erdos renyi don't have true community structure\n", " >>> G = nx.erdos_renyi_graph(30, 0.05)\n", " >>> #first compute the best partition\n", " >>> partition = community.best_partition(G)\n", " >>> #drawing\n", " >>> size = float(len(set(partition.values())))\n", " >>> pos = nx.spring_layout(G)\n", " >>> count = 0.\n", " >>> for com in set(partition.values()) :\n", " >>> count += 1.\n", " >>> list_nodes = [nodes for nodes in partition.keys()\n", " >>> if partition[nodes] == com]\n", " >>> nx.draw_networkx_nodes(G, pos, list_nodes, node_size = 20,\n", " node_color = str(count / size))\n", " >>> nx.draw_networkx_edges(G, pos, alpha=0.5)\n", " >>> plt.show()\n", "\n" ] } ], "source": [ "help(community_louvain.best_partition)" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "partion = community_louvain.best_partition(G)\n", "values = {n: i for i, ns in enumerate(parts) for n in ns}\n", "n_color = np.asarray([values[n] for n in G.nodes()])\n", "nx.draw(G, pos, node_color=n_color)" ] } ], "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 }