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@mikk-c
Created October 3, 2018 09:11
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{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import networkx as nx \n",
"import powerlaw as pl \n",
"import numpy as np \n",
"import matplotlib.pyplot as plt\n",
"from collections import Counter \n",
"plt.rcParams['figure.figsize']= [15,7]"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"#(1)Choose your model \n",
"\n",
"#a) Erods Reny models\n",
"#g = nx.generators.gnm_random_graph(30,100)\n",
"#g = nx.generators.gnp_random_graph(100,0.3)\n",
"\n",
"#b) Caveman model\n",
"#g= nx.generators.caveman_graph(4,5)\n",
"\n",
"#c) Small world model \n",
"#g= nx.generators.watts_strogatz_graph(100,20,0.1)\n",
"#g= nx.generators.newman_watts_strogatz_graph(100,20,0.1)\n",
"\n",
"#d) Preferencial attachment\n",
"#g = nx.generators.barabasi_albert_graph(1000,10)\n",
"\n",
"#e) Configuration model \n",
"sequence = nx.random_powerlaw_tree_sequence(1000, tries=10000)\n",
"g = nx.configuration_model(sequence) #returns multi-graph (a graph with parallel edges)\n",
"g=nx.Graph(g)\n",
"g.remove_edges_from(nx.selfloop_edges(g)) #removes selfloops \n",
"\n",
"#f)LFR model\n",
"#g = nx.community.community_generators.LFR_benchmark_graph(1000,2.6,1.7,0.1,min_degree=2, min_community=30)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
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IBdiK2aCyDahIJM1eCMNPgkuA54EPY/ZCuceFdBrwZ/yCwEq8F2OX7VsZQuh4kdIZQggV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2KH93bXNA+xEUciJudRlN51GtpLdRFIS3OfVQhkVIh8JK4lG7gL6LEZZveGd2fKWW4MFA6DnhdD\nnzSBpauM0lMzkdDNcuurlTTG5CG58WQQuC8CQ/EtcEutRBP0zVE4Ok3n+8xaG3vBmIv/DMMyfSxG\nDGJ7wsCF8KZXN5d0/kPRPROZCx/Vh68aQDcjwHOGUY/EgSiYkovYt3EIjG5CLOw8lM65h7X2R6N9\nlgeU2K0IVRhj9i2FUZmuvsyzCJQfBfd/qs/7yn3uSlSXN9ul3D2dBW8Xw71BjQMg+h5cfILEP35w\nCqYT3XiaA7WXwAstE88OAMqhbDgMHKx0yyk2SXTIpZmlW1hwJRwzBhbN035s7eZvk/v3u0igpiEK\nMpSQeB7lIcBXhI5d1Qc6fQAP1pHjHnDpouFCuK+BtXcYYw7QdGBRrWAgC9KK4aGgu0eiEC+E0Q2t\nHfBLc+2uo4+19uukP3ZE6ZyTqOZ+zjSmzUQ4rjN0Hw3TjtN7R62DkQ10zUSh9AN48ERYuAYeaqT3\nVEoXjkL4WHh5jIIUy4Ccb+HkXnBxQH0+Sx6HU67QGoDA96ztATIRY24Pwa0uiyDk+2LYAhyDqx11\n+6mAxL2zxFq7BmOeRgJfXt1fP3z1vjvLnNJsY8To7bbCY66vYncU+Fi7s8cDgO716ehetYhV7rpz\nB5Wy3cVSgC9lKfsdzVMpJAEgfqrGYauHnLwQVS2MIum/7ovTGK/GjLgaWR//LzGP2cgx90AJiJH6\npfOXI0ewCCj6PaK11pgVxgmFxCH2Idx8nOrKKr0NOaO/Hsxtq4klfQw4FedglUP5y/DS7fDtMq0H\naL7KEDPiqT/WRaC6Lq7JcgHYKZKt95y1MDAnCosegZHXaU3y3TkWo3Wpj5w+T4RhGUo9bAesD0D/\nf0L0VDg+E1qsgtKv4KXLYEw5LHCLOgHXhy0G5cthfWc4cws0vxr6DoXzgy6NMQqlt8NBf1cqX22U\nNrfZWrtYU1KJ3fPY7CxgtbV2kTGmy5NwyCD4h4X01fBFAZy3QXVd/VAq3TEReCPNV58Xh/LT4Lg3\nBda82qzpLh21KwLXb7q1mGCtXd7YmDMKYVK5gG4X1L8rAjwThpY/wpozYPhP8LU7Xxa6rzJ0qbRw\nc+0J+XxjEw2ym1K5BUJ0MdzRAo7xN2Ivg0114cawGKA+CLS1RyIusxBAMnPgtD2gvz/CE4fyoNpN\ndHFrXQeB0g3A5pXQpDHcb3SfYtVTcFUO/LlMc1ApUONqzox1yqlGNclF7prHOMazNhLU6QWMRSmC\nz1kphrZ1+2wB+kwvaNFgBVyZL/GXCkGrIviiBTxX7FRmEeAvdPO5HOh9HfS+By4KQigMi7vDqLlK\ncX3bVm4/0B3t6ZlG91LYH2jAmMFIUCuGAOqhVRQcjTkrBk8HIbMcIi/BXy+ET5fAec3gwgBkxqHs\ndBjyH1jwLzhzEJwVBFyarhYaSkbDQ8cp4DEdKAlB2ig4ojV0GA2fXe3qINF+W0PlwNMqa+1Skk1p\nuC8BR8Vg9VC49SaYPwjyh8N/fEqoFtdrMQCLjoWDP9B3gnXXP8Mmq0UrqPMQuh//hbWvVPn8P9Ac\n898Wfcet2plj2V5zjH3A/gpF1D/EjNnXwicm0V5mDdY23qljStluYynAl7KU/YHmovEN3K9FqLbr\nl2TBM0kIjCSbRWBgTZVzGHM4cpZrAbdi7X01nD8AtOsFTbpB7khYWyxGYJ7nXDrQmouc01xqZteq\nM6/epr67hjIElkpIAE7C8EG6A6iuJqVsEJzynBxJr7bmj0kLUprVaNRMGQs/x6F1ADK2wBu14Uwj\nUNcWOclNEKDwajs3ucsIngl5z8Gd6T6gsxa+zJNIhkEgaylyHtsgQBJG75+PnL0S5Fhn1IKcdXBo\nOvRzTGHAylEsi8GkTnDTmdD8DnghWFn8ZMs1cN3D8E0ETg/C9V6KnoVNBs5C9W6NENDy6j7no3TA\nOSh9zCJQllx7ZdrC/h2g1hgB9WZuXoJAvbXQqwHcAYlIwxZY3Bj2LxFr0hbdFx0QA9MOAao0N4bO\nCBgVAdchpmvsecYc9Ry8YSDbgIlBtBQmOxXTTkhExxN2Gec+ZwVK/ytAEfylaAyrrLXLfNfUtD90\newOeqg31AmoGnnYLDLtfaaeN3LpPt9aud3WOAfezRxiGpTu1SN860BOuniKQWAp0sb40vHRjukyB\nGzvCaQFtjjXPw6Ah1o4myVztWQwBLa+1RzYCbwe7a+zu5vMFtx4/oBrFBui5YlB6aIykYFTMmNXB\nJHZzMzxV29qLjDE9gKPc+dojFjWGgklzciB7CKy6F9LKtZf2ReeqBXxqBXqHuHVJ+xyG9bP2Bv9n\nYcx69NwABUAOxNopm4wp+AT2/xcsfAGubiFRGiwwB57vDI/Xg1UblBq750j4/M+6J9dba+e9Y0zv\nAFw9AI737pEIRC6HO57S+3JQ4GYh2meRysMyGShYUNf354Zp0HgI7FEXMt6HlydA8QK4pzWcFHR1\nqTHYmAfHnA35D8HrwURvwU1L4ZWp0ODvMPw7remCXSKFcCvmmLBu6P5ZuLX378rmFHQ7I0GgP6Qe\n/9dYO2NafA/v1U30Lr0aa5/c2eNK2e5hKcCXspTtJHNqb3uQ8IFnJjvSWzk+iBzrvOSXADJg3fGw\nbOTWUkWNuQ7VUkWBDRPguAP0ZeLvpbXAWruxmjEEzoY2l8PAIGQ+BB+/LrbGbxYBt0LkkOYipyoA\ncDDUHgoD9oFrfFL7m4BzsHaUE8vxvuC8TCyLmn3X3FNve0xAeB/3mc/iamXiUDIMBl8lcYR5lQ8x\nBqUyNXdjNPVg7yXwYLYUIgNhiD4Jbw2WCMYaBGCyqKx6mYlSOqPutQzUYqBoJpyzB5wYqtqLEKC0\nFN46BTa+BRdn+FipCJSdAU+/CS+NhRMOhmvT3DmiUH43nHWXAALouI4IaHVHzMaKZNGX6qfNpLt5\nK7LWznA1jseF4al033jct86MgARrGqHatqhLhz4R1RR2RMDlSwT699USUIQARpvhcOIgODvgGDF3\n7ng32Hu6tdONMXvdAKfeBldmQu3JsPQUuHypHPo51tqIA07Z1jWhd0GZPHfNSzAm8AackQ9Z50Bk\niWoXxyBQ2hzV7H2NWLspqH6vUxzeMZUZQyxwLvR5WfdIrjtHM2DVPtBoBHTsCGsGw/QJkD9L6a5V\nlBZdXVEjd8omJNauIRrfnlpaJtpEO4imCKSB9t5qVCvaATGCZTiG9W5jDvqrgHvQx1DazXB3jlLU\n02+AJrfBbVmQ+T282kvtRWYjoB231k4yxuxjrZ3s6ir3Az6/AAaOgCdClfdD2EBjf/1u3Jg5BvYw\nYOIQvghOuRIGdIELLEQtxCbD8F4wOKS60LKA1FSnAneXiV2tUwLj6sEgdx1d0f1U+304+2gYEIDo\n9/DgPur795NRGmkZCnB1IZF5YVHwZSZqkVPxXD3NmLTh8HEdXaMphdIe8OA4uKSl9gig9PrV0Kap\ntSsixjwRhP8D7Gi4Y4ACHG1tde1idkFzqaa9UHr0jzt7PNtj7tm9D7AluU56VzF3z2P1XO4JrGc3\nVjxN2R9vKcCXspTtAuaYti4kBENWVpsitO3nMyiK34LqGblSYJEVczSGRF1aHJiHtZ3cmPKQQ9mK\nBFth3fE/d4HQFHg5BPmuF9UWoBvbqmRmTBvkvAfQtccQ4NkMdKyu7567voAbUwMSQMlzyObv4HrI\n2VQWR+hvxDZ1QE71FPsLEt1FusanDTT7Ej4/DkqsgMBPiF3y2BF/9l9vxP7NQ/PepyE0WgaXZlSf\n+gtAREqI7U+S0mMX5AiXh+Gn+2HvO+CEHPh5E1xuJDoSHysBj6+B161aE2S6z98P7Yt5iOHbptlC\neyAfgdZlwHcxGB9IAqlhCGc6UQzEtgURozMRgZZitP/WIADTEKXctUVpxmW3wjF/hVPTK7OZ0Ww4\npRS6tIS58+Fl7/U4hFfD800F4kGgbpkLKpzszj/TExZxEf9WaH8eeA8cfCX0jsC6DXByO2vnGTWP\n3wsBndestT8bYxp/Dn89EC4J+MQ4SmFqtkBXO2DxLdDiBBjaCVrXgjzH2AbKoPxwuPEbrYt3eLH7\n/ynu+qejtNk5Vu0C8tzc9EEpoi+59ayDmM5mCPBcWx1b7lRAuwJ7LIch+bBXoLIyqh0HE/vDncCi\nOIwyTiQqCuWXwJCnrX3MGNMFaGCt/dIDfO78GUDfMATSJZxTx/fxm4F9kKhMEOh5Mhz1ApwTgnqf\nwfB/wLhP1WbBA4rxchj1NEzdBwoWw0cvw0cj4Zt0aOqb9/gieK+d1DmXoGDSXDcfdaxr7eCAf9Ra\nu9Apu/5YDZOdi1KlPbAfADZfDXXuhxtCifRXt90oR/WP6RZsWOnAt4a1ltEjYfUpMOVCJ37jn69d\n1dx3y964QNQvPft2B3OBkPboWnYZhVO/uXrfZTalEJqy7bAaHYeUpSxlf5y59Mnp3u/GmKZOFAOU\n4jfj13yxulSgdSREBiqZi7i3+Q6O7wVBH5UXsLBnutLT4jgVxuRaBpfGs8fdqvFpbBJA1aAWF0O3\ncagDcWmiFmwUJqWp/uzFmsCeu744YjUW+f/u6pW6uOizNx7whA5+m10EfGCh1gYY2wC+dfO73qlg\n9nRO6kzr+rf5LVfNeQ8D0Q9xKlJ1z0BpYWejdVqCnOAsYDwCgq3+Bu3OgM5ZUDegvVDjc9tAOAin\n9oGrX4W/1IK91sGCO+H6kQJw64vhR2PtORhzIRA9wtoYxjQHrjHGLEHO8JeIqToegaC0KoqSVICE\nPZCja93490EO7WsI+BUsgE87wFE+ZG4LlVp5AAI165DTZdHfl6DxrkHgs9BN3SEILH8A2Idh5aVQ\n1AiCIUiLQuQbGHMc9NgES7MhL03HARCAjCbQwVo70Y2/uTHmHCAvG1ZcB4dnw8HtjRm9UM76BsQY\n5RwDh90IR7q6sEZ11WtuHxT8qIdSRq0TM8nvDx+GdV1DgCwDowZJSCcfWNwKDv4rPJ6unnFBj7o2\nQAYE7oVW/SQKE0LM8b4o+DLJzREI/BzuwNRaN3/fuz3U04G9hu6YeShN0UtxTbYyICMX5jSRIqqf\n4ceAOVhAZw1QuxzqZPjWMwItjTHnI/DWwBizBegsfFBhW/pAv+8gwx+FKoVQSzhgnRzblkCtt2DO\nW5qvDcDqs3Qd/gh1oBBaXA4PohRsewPckAH1/KJLBgKNFDB411ob9h2/zBiTbozZw1o7zwps7uHq\nIr8F+hljPnd1kM1IsLWl6J6Y4caTWwcO80+Wu+IAkGmVClxcBqtegSvCYmgagiJtY6DVIAWFDNDR\nGDPPWluEJi4Da8uqWauqZswhKOjwIa7+doeZ5uSBQqh9NTz9MLxXndDS7mQuaLgfsM46gZxdzdz3\ny4GIqd9tBXBStmtYiuFLWcp2cXPgoAsJpm5+demVv/Hkx8bUiLmW76+rsLbJNh5/NIlm3MSgfDI8\n1hueQepmv6wGaswVwP2o11XZTzCivUQOqjOLGI1Vvwb8uoh0C8QW+dnAMjSX4ZqO9Z0kBGQa2Mta\nO6GGz+mMwOsKW4O0PMb0RbV6o7F2nRMHyETOZE8SCmxhIO1saPYc3B6E9LiaWBtf2msVi0h84u+j\n4bF+cHo+bDwJFqwXyPAURb0+c159ZUfkxM5BDv0G9+/WqEareRDavQbnHQ29y2Dd3TD0n6ozKkUO\nbDZyqgurS/3MNKbdEng+T33t4kFYb+BApw5agNpFSI1RbFQjBB6DuizK3ZiygUPdZy0AslvCtO/h\n7nrQyELcAZWoAd6DZ46A87KUUmvCEH0DPjsH3kOgpxSYWwDLJsObISiIg9kM6xdA515OZMQYc/YX\nUHiQQF4OGtCGDM1RFzcWj/HNRID1cOATa+2SxPKbhjjmNAZZAQkEVanPDUPk3/DceQkmcjlis9d5\nUX4nuJKHmOAOaA+FESMZJpEyPMGt/b6IPa3SDsI9Y/oApbmwepPmOrkPHsASrG0NsNaYP9eHF432\n5agOcNYCsZeNUV3gRLSnf/A/B4wxaXfBA7fAJQbS4hB/B+45RWxwEapJ/qzKJxSt9Q0AACAASURB\nVOs+Hof2R1YcYpPghd5qudEceOUdGNgf/pXlY5Mt8C3c10c1zf4/r0ICPh2AcqvADMaYPRBTWozu\njYXonvQHz362/vYSmr9FVO2Xh4UiA0dh7TfVXFIa2j/eXDcF5t4MXW+H4WlQtxTG1YIB1amU+k70\nf0jRN4Dul67U9Az6tWaMicGqgAOpRvPQtIqAzm5kxpjWaM98t0OzQXagOTG3bsBXW/0eTVnKtsFS\ngC9lKduNzIGXDiQEAwoRaPnVN7Ixpk4I9iqGKzIl1x5FDvYAtjXiKYflCwQiLHI+9zZyOjqRIC0W\nVltvp+OfA/ojVuusX2h8H0DOZBOS2AefbUHO2Fajz9WwUx6QWoZAZZU5dSldray105Nf872nGQKY\nJYgdte6FyxDzGXfj7OLU1gqAzDdg9EzoPwL6rRCDsO5TOLkfHOcTWKkZ7aFm5efBDQ/BdfUFmIyF\n6enQF+fYuJS7cgQgYojBynZjroXYSIOA6VdA7CU44nQ4IwRpFmLO6WvtmN1OwMat1vgZY6bC39vA\nmeVgG0nMZlJExzdDKYheatuhwJ9JAAeL1t5jP/dH9XJpD8Jeg9XfMDN5jspg8+nw8ANwcX3I/gam\nXQujDoX8dRD9DxTGwdwC7W+D09ITTd/LhsEnQ0TC5AAzR8DHgwSe2gPBufBgR7G6/3ZjPg+pm77p\nfu+FmLhWKI2wDhIOmWuMyfoCHj4QLjBJ4MRCpBiKimFBHDaOhZcvVG3cSmvtSldj5inCHuoudx4C\n3l4Lj2Jr7Uj3vGiKgGkLBEwLEOCPI2XYEAnV0O8du/RvCyeZyqCvFLgXa+9213fiEbD2Y+3VZV4b\nFaMgzkoEGpe5tfXaiNQB8kdAvfPgwXTtp7iBor9A339pbtchFr2qkysm86sY9AhCMArl0+HmHrrX\nGufDpp/gpkyo68ZejnpQ7udv85L0LMlCLEopep42cXNR7OYnhhRPq3W6Xd1qlwOh7nvwUC50Mmqz\nEEQLsuVZ6HiRTxCoJjMKCJn18GA96OXqF7d8AHceD5+7t61D9csV1xMz5rugAD3o2XIl1j7LbzCX\nrZDvfmo3hc5L4V++9N4I0Gh7+qXuLHMAuzfK+NgxgPh3MAdI63t1xSlL2Y6wFOBLWcp2Y3NRwA7u\n1zhK/SxLelM91JA4DLyDtWHn9KdZa6e6yHlPxKpM4ddKautL9CjkcI/GL71OBUj1VBhBzNrM36P2\nw6V0tqQyY+m3GHJG11TnwPkcZM/pg0RT9XnW2jJX3/NdjVFXKV1aIwfS65E01Yot6+QGsflFeGSg\nAMTa66H17fBcCNINmKfgnsvhpw/gxKPhT36QVxPoi0FsPvz8GXw3EE7xav3Koex9uO1Paizd1c1N\nc+RAtq7mVD8j53EFkHEJpD8Oo42vTi4KJefBva/KqV/shlQILK2y/xLzchUSB8p244qshYeaq8H0\nPjotnliORczxFsSyFCMVyZ91KuO9P/gSNDsdXg+5tOKk+VmIte2NMafXgn7fQLsucFBQaxN0Y75g\nE+TnwHCf+EsZcIMR2DwWpZ3WawCBByBnKay/TYxkBAGtjm4e9gVeR4xaR5T21x2NrRSxv4sBIsZ0\nNjDVL14Sh8gyWNEE8tMEPuMxKH8Thv1ZwGWlu8T6CPS9Ya0tcina3d08xVFtWgUT7WqAJrr0xFwE\n/uYiVq+Lu96KIMbxkPUSvJgDDU0iaDMeON49P/YD6lprx1ReYjWUR8+k/VEbiC5IAKYcl7ps1U7g\nKu+4GBS/DdecYu1TzinfDznlleqYOxvTYSbM8aebroC1zeBK4C1rbTnG5C+DF5pC/YDGfLM/iGQS\nfVItAjW1EHhuj5jUb621pY59b4nWYXMI1n0HZ3eA/rNh/uHwRrHWYx3qyRfxPgA1Ur8YBcAuNLr2\nDGDyL7E1RqmdRRZGWjjEzf1m4AKs/Y97TyM31rboHi9ZDCe2FEDPQuD3EFzacjWfkeOuK6u610mk\n8rdCgYNpGDMOp1qMUob7JfdJ3dXNpeo2QPfBLsuYGWO6ISGcBb4/BoFzUfDkFRwb7Xs9F9URz//V\n398p+5+xFOBL2e5v6j11J/ryHcg2RFJ3WZOzcBOq6/oGuKImxquaQ4Moeu+V1iyzcjSmoVRDG4MF\nTeGaNZKd/n0ULhMDykCNjPsjx7c/1q5xzFoXEk7bz/YP+pJyc+Q1IK+JLCtCwMXvJGYgNjADAYWO\nqOfaStSo3GPxbgNucYeNB74cBW8eDwWzYUgH6B6EUATKB8N1T6iZe+YGeLJu5bqpIpTOdW4GPBeo\nOtYIPqBQDtFyKNwLPrkCml4J+wUTKpylt8LX98lx3Ij2g1cz+nkNwHc/FCAo3AIPZsmZrBhDHOJv\nQatTKrcxqIOARGby+dwYx6ZVlrInDJE1sKYOxJ+EGdcLWD2NHNK5aJ+sRcxQxFMDNAn1x8G1YHYh\n3BmEbgEIxsWKRKKw6Qalni4EQktgcBPYP62qwmkJAnUvo7Q1A2wuhYJaYr4/RA72FF0GBShA8qOb\nz4OBpx2YOh8YhfbXMWjOJ5OoPWuEAgobgPyPoMthAgaRkMQ9hsXgymDiHgagDEry4dhNSrkNunWb\n6/ZlTwQmp7oxpAMnW2tf96+ndb0U3e+93XU3Q30+K4nyGGO6hSBnBHRuC80mw/xrE8I9IaCntfZx\n9950FMjIRoC3BO2t/Y+BOv+APQtcrRRwHtbOmmLMfXvDlV7tr1PY7I4bh6vB7evmfToCH03SwWyB\nh0I+wFcE0+pAD38AyQHPg1Atage0fzwWeyNK5wTd56t9x+2HWuUUut/boDG2GwldT4a/BpV+XloO\n92Yqxbce1ZtFwGmFE89JQ6qWhbYGJUijXnYhK0D/GWKXv3oYBgxJPH9A9/8sJ9aT0w4KPoTLG0DH\n0TD6bO3BmgJqxe66qyhCu3nrjp4tkyvmVGt8Kpr3kWxLGvwuYi4Ysg8K2O2yYMjN/QFIhGlt0ov/\nRIquGWj9OuB9f2vPTEX7NAgchu9e/x0HnAGchZ4Hr7Cb13T+L1gK8KVs9zalPswiofA4EWv77Mwh\nbZcZcyJyPLNR1P1RrL3xt53KtJgI1/SEyzxlu5icsVOD1n64w8Zc8wAuRpH8Wrjm2Fh7aTXjbIUc\nZJBDPbNKXYWENe5DjvLpOGW932fYpg5iwGqKgHvpYDMQQGgNpLeA3EXwr6BzRi0CRhEoHwD/nAfx\nkXBMHuQ/A9/fK2GIIBDfAH+pl2BAiYPNgUGPQK9z4YIMH0iJgy2F5VmQ69Z11QcwfiCE18D4rtB9\nElwYdOMvgZLT4NgXoag+ZDWH+quhyVGw/0PQOghLz4Zn7oED+8D5IciZClPfhMuGQnAzvJmdYCoB\n2AyLcuBSxHQWbsu8WmPCJgls+dm4GISfhjsuESBtipiWGUnr0g0xarmojm8p0H4vmPwGnOio7veM\n1q89EvPocAE0HyEGtbq6NIuYqLNRf7gQ8JLRNS/10neNes9tJtEsvcD92+u9NxZF2TujvfE90D1Z\nddEY0wQpbZYCy/eHwj3g+M+g9CZofB4MykoapwWehCGXwkfW2jlGEu19EaAYlZx+bIw5x1r7kvt3\nR5Si7IEYg9JlQ8Do5MCPm+e2yUJN7rUAcINbg0buJ4qYsTL373eshIB6R+ALx1p7l7HIQPt8OGgp\n3GIkwmN+hMd6Vq7djaK17Y7SVmegrbLnSGh2spqnlwHBR+GKwda+4MaXgcBnplufRug+81Rf52+N\n3XGiO/NR0AEUICr+Gs7qDed7qZqrYFw6fFofLkH74Wwqg0e/yrFfoyYXpUuvwCn1euDLsa/5wII8\nKOgKeV/Apqi+22YBmXWh1Tg4vxX0Wg0zj4RnlydEeGIIWDfEp2aKQOwvin642sVGSHV4m9sD7cpm\njClAe+H731L28Lua1vpUoPhIeP9jMeLjq6spjxuzLKDgDCg9/DSs/did5yr03ZgBsAY+awzXo+/c\ncA0/0e2ejwTra1AwaJ/djfX9X7MU4EvZ7m36cv4QJ6QQhXUhaxvt3EFthxkzBLiXhGP8HtaesB3n\nu9bCPZ6jHYOSd+DmU8Q+xVB/vR2u/mWMMT/A/d3EVqQjp+NVrD1nK8elI0fNU9lbYRM1SpnIaZxv\nEk5dJgI23v8zqpw06SN+6zU58x6YnVBLi3kIpEbzIbZcbFwlZz0OdjJ8sx/8A9U0zUC1e3sAsTmw\nsAMsNpDjyyGNTYbhF8H4H9TSwd9nLhqDeAjSoxD9CMYeLyC8FhhTFzocA/mPglkMdW+FMSPg/KZw\nlIVYBNZfA5f/U2I9WTGIhWFZJuT76uDKy2FxPThrPFzbDU4KJRjD8Fx4tgDed9c+zW6LAqox7wJH\nkwg+xANKfa1whj+DMYdqTp8CNlmt6cVAgxi89Td4/w45Rnsj5mcpGnMfBO7aud9/0lDpCUTnQKd2\ncHuo5v1RjrUVr7kgRG+vPs/3934IjK4EvvHSV93fOyOQuBql6m50f5ulKSUb1YrF0f1XggBjDrrm\nTffBYUPg6WQW0gLT4Ku91by+hfvzLMQueSmJUz0nzhjzJ1R3ttnP7rn7awACPyXW2q9JMmPMwdba\nL3y/Z7jraOmO/R6xm2sQO+ivjTsM9RgMLoabWqnPYoXFIXoQXDVBjESjM2DVTAj+WDn9tLH7HND9\nUgcxfFHgfWvtgluM+dM9UPIYLL5CrNkGxIqVI/GUsJvTtqj2Mbk3qPdh2UD/YtiQq/Reb947oxYb\n5RjT/EZonAat71CtaAwIxJWJcV/ACcishwl5cKxNSmn3fVYI7du1WLvEsYcd3NhxY23p/r8KAcIS\ntJ+8ernCMrgiAy5E+6kUfUecXu1nUpHVsCeJZ4hB6dHr3OtNEQCdX+k+FmBN32aV0J1lCsTcg7Iu\nxqFAQjm6F2daazf80uE7xcT2TgNaxIFlML4VHJ10LzXDgby1cFsDOMyl1W8B9qxofWTMmSgtPhs9\nWyIW3rwLLrxDz9aMan62S6G/GYSWwje+rI8w0JLfroSdsj/AUoAvZbu3SR3tB1xPpOXwaHOls4RR\nH6VdNle/WhNjORUwMUhfBKe3t/bd33q6Icb0ug8+ToMMoy+DRUAvVIsWQixItu8Qg6L11YqWbH34\nphlaC/syLDtLgi4t0RfMNOBEfKqF23K+u6HfTfCUx1hFoShNzEAZcnjKfP8O76hIrkn0+quf9FIU\npQk2R6qJFQxJsTEX1IZnTBKwXA2f5isKm+87x2qg6Bu4sBecn5zGF4eytnDp6dD+TrgwDRrEoTQI\n2f4apjhwDQx8BLo8Bh0vVv87G4aNZXDgx9DuFHjbB3bKLTwXF0tSG6qvC4xCyRtw/U3w/dcwNB/6\nGLDz4dueMHSzIsj7oPOuQgDHOx2IaVjv/X4i1H8SRtQXYLKrIJwPWR7rFoHwBLj/EDm59e4EbobB\nAbUNCcWgdC5M7iLWeBGqS12AgG5ftP6j3P/jvp8zx0LDfnBVqIZ00yhE0pQylYYcqv4oHTDqm5o8\nIG8g1B8Kp6aBeQ6eGixwGUNO+RSg8FG48RTotAQCj8OjL8up7wB87E8h9Myxfq2B8BR4fy+JjlQw\nzBais+D5AvgE3Z8TPSbAqFdgB+TU0xAWXgmnFwiUTDgTfghbO9sYUx/V2s6w1k4zavvyfVIq5D5o\nb7d3P57wySLEVK1Nqg00iO1u5uapMzArC8xyeLwu7JNcfwrYxfBaF7i+xNrlxpiebh17IOBRhuoh\n90D3yHfub11JPEvauNfWIcas2nl1YzwIKR36nWnTGTpNgg8ynHpvFIZmWHu79/ogOPdJuM4oiGBK\nYdqD8OwlcHxDXWcpAt/Z7tqmBcSc5vgud461dvMsY9Law/ggFBgIfgr3HKHnYR3fNX2CxHla20Tv\nwjT0nKlg/8MwOt33OxDG2mr3dQ3z4QkytUTXtg4pqS71vek04AW0/mOBk3ZJ4GfM5cC/fH+JlMHa\nFnDs2moY6l3GxNBPwlczbBS46Uhi/yy3CVCXhQIMrYFhWDvJd64AmoPz0PMtgJ6hV2PtiN9p/AY9\n91qg+349Um6tWUk2ZTvdUoAvZbu/KUf/cGA1iUh2BkqvCqD2ALuPopicvz7ATCNnaqL9lQ1hXVS3\nN7DUyjE5GYHgkfxCuo5zBpq4H79tQRHgKnUhRqC7G3rwr0hyHLoi4YtM5Hx/i7V9f821uIL1sRZ6\nWQhNhif2kzDGGrst/aZU4/A8cnLuw9rnksZvEBBrRuU+XxYJR1TPDujYvshh8pQ5y3+AvntLfbGW\nO0mpUbrXW77j0pEj12gpjGiu+atkZRC+HW6+Hz4JQt0RsGCg3vcmlcEAU2DsCPj6UbjFE2uJq9fd\nmpFw54UwNJRwTK1RO4DTLNS3EA0ItFXCfBGI/AdeO1Nzt+BDKB4MfefLMd0TBQVWO4c9G+21DUD/\nKAQuhmnPapxpJBrXzxkM+ZPhmAkw5hk48Xw43UBgPbzTDq4vgs1NoHguLM2p7Nh6c9kHa6e61Ltm\nbl0nItCQidLxchBQ3xPo1RnaT4Wz0yqn1nnnjK+Bz/OVBlUGnIDYs+WJt5AHtKkFb25JMGtEIXIU\n9PxEDlY7oNZ/4KQT4M8hyIipOXhJD3hmjgI5K5Bz5Dej6aYIGNwAvnsRjjtSjc8bxqDWWvh+LJxw\nrrWb3H7tga6lkghIVLV5o+OQ4eo+4xFYexbc/raCF9+h/Rp319cCMc69EPuUiVjT+QgYht2z5CgE\nwL5Knj8EvJbjnhnW2uUY8wgJFqqKWYiXwCO1JczTG7GFERQ0aIRA5wwErDqgZ/kcN38RVAs6zVq7\nyGylWbkxJuMs6P8IHLAS6twH774K6yZDvZ5qAO852GuxNs8dFLSw2EIzX/1sJALLDTQNJZR9iUJJ\nEMxkuH5fza/3DPGYtXqDoOMw+D8vNTsMqzOhwMeypaHgySYgy1r7fQ3XUqcIJtWG9r6g0kqsbVrd\n+zEmD93rBWj/XWG0z3ohQRYvXTkfxxyfAPXegvcCiQBRKXpu3lXTHO8UE9Cp0pfUQrGB04wUdgPu\nde8nmPR7dT+eSFGy/ZKzvC2ZIxXH7w/ZX8FHQagVh9gGWNEI/oqY+upq4bYm0MxSuL0ZDDCJ58nt\nWHvvNozrt5kxLVEQMw24BWvn/W6flbIdYinAl7L/enP1LnVQdHrhzh7PrzHn3B0KfGG3MXrmWLY2\nqAZqh0TcnLKbJxjhWUvkoBUi56s6GfVDgXdIpNxueRmuuUBpYf6Hj/dlVowc0o2VziensxewEWvn\nujHlkVCZjKP0narA2JgxaA5DFkrvhfNvkUPpt5Uo9WurD0SjXmpe+lUL5IT+gNJjrXNEbkcN22Nj\n4bX+cH2N5zZmOGKXKjkuUYgOhONfgvIANJ8Bg/eEji6tx+D+YyE8HZ7dCMV9YbA/bdGCbQNXzYab\n0qFREIJhiJ4Pj7WB1/8Oh3wOdQ6Wg9TG//kWSh6AQdfL4WuGwNda9/9v0D31hVU/we4nQYt/Kx0x\n0811poXYKvhkGhx/lAQm8lCa37eI6TsoBCNzIbhBzn0cmLUHNJ0NbweS2m9EofxleOMCAZIGwEzE\nUrZBoCGMjol1B3MctFkNs56ErHmwXxs4Opnli8lh74W1s4zUa1tbaz/wrXdHlIr5aRbU36JUpiAa\nbORguGi8FCKLjDEnlcCLWb7eejGIBOEGrH04qV51hXWiNy4AcDRKFf4IBSBOdtf0EWLZki2I5qwE\nWHAE1PkI3gsmgaw4xIth7WHQZrLUJzOBI4AOeVBwCsRCsORxze9i/a8inRAEFOPAl1sJfvSy1k5C\nqYqzqIFN9c9Lf7j0U4G3BWjtWqP9Zt04FiCQNNWfeu6yE85A+6hOdYDPiXV0OhkavgpvpKkXo0XP\nq84/Qe1WMDsIGRZicfghJPGenGfhgHPhseS5dMES4/udiTDlIXhxpACVl85pUFAgBygZAo2GwoiA\n7gm7GeblwpkoGOkXh6oPnIjScZf7/t4cBYiKrBzsz9A9ZpbCKa0kDOSluGcAmc0gbT68kQFNAhCK\nQ6QQ1rSAW0sSfTir2APQcTCMCPmUjtfAmMZKV636faL743QEJJ9KVmneHnNAuAkKAgRQEKchYNLA\nhOGF5GyKGGz5BP5+pABfzP1Et/En9ntnBRlj6gJ7DoWOA+GiOrA0CEOwdsV2nrgrShUH3UM9tvuc\nKfuvshTgS9n/jBnJWbfF9R7bUWDo9zaXWngoauJc4w3rwOG+KM1w+4CtzpWRnMbjwE579+s8xHzU\nnBIqpnUiitJ7rFQJcHRyrz83/troC70uCWc/ObKZDBQ99cl8EmBnA+r9ZzFmvjfmGGyOw+lpPod+\na+ac8S7IeWuDovDLkRBCkTGmT3W1UL7jM1HD9uqV0xSQmIzPwYpBeTF8Uw9OtdauLTemfwDeCSUx\ne6jB+NvAuTGluf4n6DtPOWzOgCaHwIFvw2F1ILMMns+SE9UTzfHaq6DrA3COgZBzDkvWwmeNrT3W\ndx0G3T9NgX7IQcpHgL54GgztDAcGk1g0CyXr4ME8XWMP5MD/jNatE653Ilrz9h1gRiGsWQ6vpiU5\n3GEofwT+fqPqB70auI1uXbzzMRVmdIWPoxBKk0MfD8MnK2BuK7jI1ZWaclg9HsZcCh/OV73YAOAt\n30cWIEd7tPeHWXDpHnLWWQWfNofhSJEzBszeAg/X8tVxxiA2DR7vAS8mrXxDEuCvJWJOD78ZzI1w\nZS3Imgbf9oV3SzV3C7SkFY3oI9Za64IxXefBMe3halNNS5IyiFwMY18UoLPAnJPVeuG2gHrGBYpg\nRgFc5opwPIY/h4r2gMx1c76ousCKD/ANRW0SktVQK1kUom/Bt38WOJyBQOYEv5KiA8hBa+1PSZ+V\nhtJ4N6O5H6dT0obEMyAMLPoKTtgfhnj1qTEofRueOhWmvgX1joBLwrDuTrhlmAJBxRth37owEqWL\nVph1TIv/gRSFNWliKZugoFgaei55dbUGMF/CqfvBuWHYcAPc/kSiR6M33jhiV1sj4NgIrXUQscIe\n2DYtIeNwaDwe1s7T86icpL3xFHS5AJ4LVq7/3WLUk7BG0avDjen0EXwTUk1xANhSDH/JFaD1glIx\nYLbV8+A7NLcRlPrbfVtUPF0WTjMSKfNB9H1SlwSjFXNzWOjmZxX6bvHUQ4cBVySdWqm2vxCc+KPN\niA3z0vl/c+/cbfigeui7bja/Q21+ynZvSwG+lP3PmUkUz4cQK/PL7QkUde2Henr9+LsPsNohmHSg\nr7X2sxpez0PpQ5Ps9tZaGLMn6tGWB4y+E06+Q/UzIbbCkvpTQi+DJodD+w9h7oNwa67ENrBgZ8GI\nAglzVDpcL7MFOXKbUSPrGoG5+7xsxPbUJwESc3Eqey/BgWdIgTEagcI+cMYUOU/rgA1WKnuXu98v\nM3I+26EIfVN3/kXIsZqTHAE2+pJtYmuQWnfvaYOU0ZZW93qxMUdnw8tGn2lisOVrePAQ+DkO05+E\niwbCmaEk5dByKM5QMIAQsBLuqgv9LMQtpD8AQ29Rrchqdx3TvVonHxO8Bdj/Glh9MZy4Bdp9BhNu\nhAmOVvLG7NVqFCIg0BXtkT7AihkwsIvAURWbAIsPEEjbBDyOY1OXG3NSCO7Lg7wwFMYgIxsaWogt\ngi/awIEegIlLjGBubbi0TOeJoybjXv2ml27Y/gd4ZG9onBT9LwFudSJGnjiNNbClHIo7wrBFMMJa\nu96oZqa3u84qKpgY02kktDhLCooRJGLSCOgwFW7sAod7IjcRCN8GZ9+ndC0QQF1kJdUfAA7Ngplx\nOKEudFsO5wV96cCz4IkCOdXlbv5WonN7wAKAn+D+NgL9VSwGsVHw0kkJsab5hfBELnTx6kFjUDYR\nHu2jNMcA0DwHmr0N5/SAZlNg0hEwKq41r070oQHw42r4a56AwFZtA0xtAA+SaPngtwzkvFYHTiII\nGC1Dz/Ioel58ZK0tcUGWTkBoDBx1GNzk1QDHoHQ6XLu3aytRYXqW9AdqHwCFn8D7GT6Wsrp0BIBi\nKMmFRxGYnozWKd4TMm6BrlNg2d0ap93KT8Bdbxff35ajvf3DNhxf6WcuFHSAT0zloEkJsDfWzk+e\nUBc46Ib6JNZG92keEgQZltS4PgR0nAc3toczffdZMUor/B6BOQ+8gdazMYmARASBuSL3exTN0/pt\nBkNas78DVzkRqHKXPr/NAb3fw9z3UmcSc7/UWrtyJw4pZSlLAb6U/W+bUTPW+sAmm9SLyr2hAQIA\n2SgCOQhrX/1DB1kxFJONZN7HJ/29B1BqrZ29gz7oIyT8YWJQOgbuHAAP2eRWCb98Dq/pcgywRfBA\nNtzsVCHLXochZystsJJKqHOAs5DD4f1U51x6DsbWHmAG4FLo2xEaPgaT5olNmgc0HAen91MPt8w4\n2AiUtodHl8nxKEZR+EJ3nlJcpD15LowxfdD1ZKL9VJ+qipDdkPMa/QwG7Avnx6DkBRh6CPTsBBcG\nKgO6LfPg1T3hy0KYUkdMaQV7Y8HOhB+7CkiNA8Y3gKx74dRFMGAuvPOWggAL0N6djkDMMhIgDuRg\nlrj/z3fv74jWrilyzDa799R2Ywi7+aiNHOtWr0HaqWL4PDCFAcqhfCHc1VlgYzICAxmT4MzucGkw\nyan2FjYO4RnwUleluwLEp8PFe+k6shG7l+nmNAPdpz2AjXF4zqj3W4XFIVIMw+qonUQl4ByD8Bvw\nn07wThd4PA6hkfDgOfAPf8DB1bN1R3tyqT/tzr3eIgMu+wradoCDcmHJcHjyMl/dqAsQtEGArecV\nkH0/3JoBtVfCJ01hP5OoKwN418BABLDnoGDEGmvtAow5ENVYBoFv4/CnQM0KfMOx9lLnjHYrhS8y\nNYd++yfWDnZjbDcbzt1TjcOzUGDgYqx9JfnETjimLdBhFfytcVJ6cE22EJa0h/fQmpaBUM850GIj\ntH0fvkjKr8tGzGgZAtjjEajYgABgUxScKUYALNYKQjPh6QxoYyVkM/Nk371TpgAAIABJREFUOOpD\nvae8AlwYMzwO50TVimTpKHjobHjAgg1I9CrkRaQqivqg/Cd4bU9rz3d1cM0B+kL2OHg1HXKN+iue\njrWjfmkuHOAqQNkQr7k/d0Zz3xkFCt7f1udwC2PqTYUv6qvez2vI/jXqh+oHbwaly4ftVgKaRi07\nChBblTUOTu4HxwXdnotAeDD8/Qnt09VUrkcrQz1Xi5LPu91mTO4saH0EBJZbO3WHn3+bhmAy0D0a\nQNtklk31pkvZLmQpwJeylFHhhO2JWIOpVvVGtb+Gi/aFu31pcj9gbc+dPM4O1tqJ7t9dUd+kHVY3\ngTEfIxEcL13yQpLk6bfhHK/g0t4sxKbD8LWwsgP0nARfuLYQQVQDl0WiZieOQNZKqqmvSPo9vq2R\nYMeQZiOAko8cqOYT4NQ+EoQAoBxKn4TLr5QCWa778fy7NHd8jhu71SEV/ccaovS0IuRMen2QPLXK\nKNDXai+9RWJPbXHnq1LzZCF8NPxpDEz/Go7fF4YGXM3ROhh/FNw2RWM4DDnc61HNV2s3Pq9RfBnQ\nqyNseQeOz4d662BYexiKnOQOqE7tc5Rm1gD41A2jHWKnLFof3DV2QYzkMiBSG+pMgKsLoK8BUwLl\nESj/Cr47AX6wOt96oLAYNtbWcTXWecWhJKAm7FfgWKhF8Gkbaw/z3mOM6Y8Y5TxU1/S9S+M9MQav\n+4QnYsCyC+G0u+H+POgThDSf4x6dBg93g8FeSwQr5bx6TtG2iZsXLx28itNtjOmG1tu4eb8Q1XK2\nTa4xcwzJ6cCScngiTXNJVJ9pfWxU2QwYtrfOE0eNmScAdTKh/WYY7SmtxiBsNFHVtp4Iw8+Z6v8H\nwBYYmgkHBBIpuBFg1hoY3kSpz0tnwD1dlDrpzeGdWHu37zrS0TOoADn5tT6Fuw6EPqGk+stki0P5\nAnhtT7FjuehZw09wXQs4yUB8GYxpDf8kURvnNU3vjsD9ChScmEgi5bGjW4dF3jBrQ4+roUUdKLwT\n5hYLoHgsaQhoWw63pLkxRyF8M5z5Lqz+G/ToA0c2gSMCkB6XeMv6KJSPhnnnwsMluvcrmMjR0P9w\nNWmvhQY/OxfOdS+vRcDHujlsirIRtuCCFtWJthi1qzjKHb/2LdjnBLggoL3/JnCb1/zaGNMeyLV6\nHl2PWNDJwANYW+47Z3vEunnMpNeDtBZi6CpqUdFzLxMFzFYDpcdB3TfglSBkB8DEYUwI/rSz+rFV\npBX/cZ/XAD0fQXtuRnXCZv+1piyRXGBOqgffrm/b1YsjZSnbHc2lazWhsty+RQ6PAU51DtnC+vBj\nMMEilaM6lp1m1tqNxpglxphTgHk2qQ5uB9k1yPHPQY7A27/hHAsRA5RloLwbfIdrBN2SSrTcRKhg\n9jwVtebubUHf38IIIBh8imumUjVNFQu6a8glwQx4NTlxYNkGmB2Bzmmu5spA2ht6bz0EalaRADnJ\n5jn2tdIh+0M452D4axTCw+Gpq5XWlI6cJo8hrv0mHPEnH1MXdg56dV56FOJnwMFjoEMfmJAGPQsg\nNEUAzkvfAqkdWgRKBrjPqufm1wOmo0bBPW2gfRACteD2Mrg1CGYOvLsPXB/Wsd+REGlZiurXeiD2\nLw0FA2ojJnCuO3/OZthzL/hHAwjGoelGpVh6jaC7oHuuMVDrFdhvoIQXqjULNg7F78OaARB2AKjE\nwNfGmE4+NtsiJ3WWm+sWwM9Y+84zxlx5EnRZqqbZE+6BLavghxfhphKt6b/jkBeDtHIIXwlFX1X+\nTsy8CfrfZ8waVDf0bXVjdazfAUg0aJ2rL+uC2JTzgO9aG5OxONFGoR2qO3vTWrvCifyAFi1q4Poo\nXGOgQRBeugruRKl+mWhPngUszoa4v17PQHAOPNAJrkKMVLKYRRDfXj4cRn4MbbOgkRMTCQZgr3rw\n6Ea4pg4s7QI3IvELrz3FSHd93TRcmqG92A3dtws2wrVBPT+22irgC4G9dSgAM6cdpLeCUz2xnpYw\noAc8/oOCcd71lCP2bgMJsSS/BP9kV2vcGT0zmm2G5+9y83+tBFC8eqpstLcXolTGVgYCFngb8hZA\n2mnwbTeYMg5y68Hea+GbfeD2FdD+PWg2Dx7ZDPOOgPeW6p43ywQ+DYCFSKbune9dzWVjoKerT8xF\nAG4GUgS2NT3TXCr2C8aYNk/CsSfCPxxzRxyuKIYD6ko1uBew3KrFw8vAMRbWfAeP7w8d0fp5IlzL\n3Pqdhr4PQwhUh1E66c++eV+LWgVUTrEXaDwQKA7A+P92x9+l53u9ftdbayfuzPHsNDNmEArGxIEx\nGLPTgH7Kts1SDF/Kdj1TOuAtiOW5gW1snOockXz0ME7+1vT/XoYiwxu3IoLSGsifBMf0hFOMIriD\nsLZwWy9lR5tL6+yJnJ34L9WNbecHhZAzsvE3PcRVQzMNOapRBBwP/S29nFw9TgvkVPpT8TyRg5pa\nVmQgJ6YYRc+X2OTGsGIoXgdOiEnF7qKGAg+eE17RoHgrgxxoYZjPAS9FzXGXJt5iDFDwPAw+Wz3w\nMt1FROIQCVUjthGDzZtgUIMEeFxCQtwg3/3b29vG9+9MpPrY1B3zI/BxGD5Jdy0S/Klp0f9n77zj\nrCivN/49925fYOm996YUAUWwG2PvXYwl/uwlGqOxd2MvsRujJsbE3nvDilhARBDpHelt2XrL+/vj\neYc7e9ldFlgsyT2fz35g996Zeeedd2bOc85zngMVj8Bj30L5JbBvHrSeDx+fCH+fpDnPQZmeH4D3\n3oKRI+HMOCSug1dvl6BD0Ix+OfAyusfa+b+9jgBkc8AeUjuGA3PSmtQHVgHLcuW4zkvAuevghPnw\nzc5wxyrNbXu8cAQCqVOcc1+bWQcULJgNtPeZ8J6kAga7AXnOudcwa/Sq6vlyHoVnX4T4WnixoSiC\nJCD5LNx/DDyEwNwG94GP8PcHPnUb9rPLugj2ugJOLIQuSVj+IfzjbVh1I3ySBV/hXBlSsn0lCdkR\ngetDTPuc6qoRvzCzrv5axMbCCUNg1zhER8P8feCNvaHkIRjQAX5jPnsXh4ov4PaRqeBNU6CgCUy7\nFAZeAI9HQtdiHizoJLXI8Q66l8Ogs2HN33XPtQbW7QL9ToQ+LWDdWJh6HdxpevYOHg237qTAQrWg\nz2dvHzcBvj5+XUwshEYr4fUcH/9IQPlw6PGlVzNNm4chpNZCdfdoIOBSQSpDDVqXy4Gd0f3xgXNu\nAZrX+1EA4SKc+8QrffZDt0oxquF1ADeYHXuZ6pALHJSXwssN4K4gMFBhdkUWnFkBs06FPz8pSqUh\n8JqtaV7fUL0pKRDayY93NXoHBuM2fy7FZfBYnurK11tC13j6ttB+PkxbB8sHwx5RP5cxWNcSTlut\n45eTajtS7MeyEFGFf129a0O2WRm+VGP6dTg3r5p9RtD9GKzl2c65ZVs61l+9ma3Et6dxCsYNq00M\nKGM/v2UAX8Z+WSbxkVko8loJjDFlFFqgF2JtWekYekEur8+Xlpk1IPXSn+hq6WO3Nc3LwxcGdB+f\nKTDn3IyfYzy1miLNb5Pq/Va6Ei5vLoezCdX0Q6vFyhHAXZUmYZ7eOD6CaI1rUIS9GDnNG3/ImWVn\nw4B4mnqrd66bh8Yx2TmX8E5Cc2AFzsUxuxcJvwCQgOIEHJrj3HuestXBfzSzADp+KpreDg4SFXBh\nDvwlWg3gi0NlVzhnvhy9hij7lkCUqiUbU5o1RWErUHat/bNQfBic54FePqkshFsAr7aFvQInPQ7x\nH2FJJ3jU6dyXALYEJreUouR6EYxT4YRHWa9M2BNlAH9E12ctcnZfIVDYkzDQBKoBBDEovxdevEB1\nTGNcSG3PZ0V+68f9lYP85+H0LJhwENyJv+/NbHvkzH/qnFvm61znILA7w49xNXAEcL9TP8FdvoIb\nB8OQCOQkoPxzGLWTMhtBTdpCvFquB5IFrpqaITMbci60vQOeilZVVnWIelnp52o4zi3GrOAI2PlZ\neBvtu0pvOe90DkTAezaqxRwJVB4ALXeBj26FF5YIJHcHcs6GVufDwXmQPRrePRk+qhQddDkwMmAH\n7GDWeQxMjaSorIll8FEriWGMRPdXsZYEriU0/BR+2w36RyDhIJIAKmHJOXD9o+BawLhJcGVz2Ndn\n6wIwWekgOQ4+3xWuL9E6qcSDeyBaDHMbCEhFUIDt3fT5DeYYre1pTv0CDYH9Hug5MBvtvxhRnKej\nwE9ffz3fc6Em8mlz3RAB/8ak3jkNEBgDWH0v/OZ0ODl0335nsAvQ2zn3edo+CxH11SEKfnVtNoLv\nbuecG+dVpTulfVwMLC+D0Xna33pL6P2XjEJuEiorYVVeSgWWOFQeCSe9CM9uUj32r8j8PbnE1bXv\nrq7LR+i5EAXuw7kLPQuoP3rO1Nzy53/ZzObg12cSKk+DQx/ROwK0Tqf/moMH/42WAXwZ+2WZGge/\njafexWFttiKZS6mDg7t1h2aGXrIFiNpSreLiVjhuLhKgmBooLIY+6wOUuGoik1txLE38TwNqEE15\nEXbeH64NNftOzlLN2A3A6jo7HFoPJyDn+Pb0bK/P6ASR8SSppth1bhwf2lcO0C+NHhb+PA/odwF0\nuhEe9IIMpQiA3ExIIdFB6XC45As5YXl+XDHkSC4G8hpCpzhMKYPofXD8aXCyQU5ElLKkQflXcMMw\nibJ8h4IOw1DmdGJtTmNozH1RRvgd9HLefh/ofCxEj4HTQlnGshUwvRlsE2o0TRzKHoaLj4KcBRDb\nHspvgdPPhG2zPGivhPK/wz/OFPVwiXMuaWa7doZe38A+jaHH1/DqUJ1D0Jx3kYN7UE1SGBDFimHN\nADhsjgI9UxFAKUbXdVZA53zf7MFd4ERPRYxFVbt4uAdMw0LZvRYoO7+T336yVyj9C/AA6uW2LdDV\nwXsr4D8F0MfBvYVqbB6ofwZZ/10QHW4hAr4z04MKZjbkG7hgGzgiWnOQKga8jHNHBNsEIC/4vwcK\n26JMaTYpAY9ZaB0F0v0TUbZrplPNYQsEfJY5Xc83HXSpgFn7wkOj4WOUGWsELJ8M7fvAHQlwpVB5\nEFz7oYImgcz/NsDsbPi6QlmwoZYG1pPgKqDsYDjlHWX02zhY8iNcUQDDDNwPMOc2eOVZUY0HA684\n53704C2CninLnG8IXpuZgkqdSa0p/PbLUYasCQJsAdjcw5/zt+h+bEGqRi3MAHEoODCN6p5VZrvN\nh8PfhYrjBfhyHFAKlzZ07i5Tn7W+zrkxXsilC3r+fFeX4FMA+EK/mz+X9iiI0fsh2PNE2CunavuP\nsgjkWCqYFjAsChw4Bysj0IZfC9gz2w61xigC/oxzj2x8E4sgYbNqG9dXs8FF6LkVtOwovwF+f5We\nVZMzgKUWMxuKFH2LgEtw7oHUR1aEnpHhOt61iH6dmdOfyTKAL2O/LJODMxVRXJLAP3HuzJ93UBua\ndxg7oMzHt14oIgs4CTkh7+DcR/VwnK6IvvdFTc6CmQ1EmZPF1X1ezfcj6CEdOES1iiukWSWq8VgJ\nlNbowKiVxTS//ygCRjtQB0cutI/tkdBHgT/ugnNh6D2K3gf0xQVOju71yIG7CefGb7irahvHJ9hQ\nJXTYBjUZohgHdMbXUW3WMPy8xWC1QV5WSJ3yaXj3GHgSCVHMQ9cwB2WLShEA6YrmsTvw+Rewc3f4\nY1Otnx+AWxFoaYoc7rHIeVyNAG2O39ckp/9XVke/NbOTURbkUxOAngrscBHseTEcWwD2AbwwAEa0\nE7hYb5VQFodYjoBGYgF88AmMPxIuzvXOZgLKH4Izz1IdUsAUXfY1/GsgDIvqeyWfwfEjRasdb2bt\n2kLHT+APneAgE7DIicA7Z8L1D8hhL0T32FAElCejrI3bA1a8Jzrn+l5vCSh7FU442Lln06+jqaH6\nSETrXISCSM+jQNI+QDfn3G2h77dEgGkSyth84f9eiIIvnyOq3BAExooRvbgYRbkP+R5G9amhTUJg\nJTCzARzlf+2LgEgWolNm+fNf48e51J/vGD83U5xzC0Nj+jg9IGZmLYrhi0LobBLVSK6AH1pK+XSa\nc26lmTUCRnWCju2g1wSYXSpQ1A5lxWah3wsfguNOhtvS24MEloTYbPhPd63V5mgttEGZ6VL0TJjh\nnFvnn0O7Ouc+MLP9UEBrhncWh6Jn61pSoKYdVVVF2yLQG6go9/TjLfY/q/3cdfGflfvPOyBnvtpS\nAQ+wWvtxh4GgPQ5Djhd1NQ/R2M6eDs0+hnWn6Bn1mnNuqZkN8ufwnkvrIVjN8SJ+fIGMf2cEOMO2\nlpTq5eKHYNVJ8DeDURHfbuZluPFQPQcjEYisg98sh4s6ws5Zup9G/aood6EMErp2PaiG2rvhZlWz\n47V8LzobHu2cEtMBzfMhOPdBDZtlbDPN39fdqXpPrUFBqg1BoFg0B6BnzYubUw6SsaqWAXwZ++WZ\nCu6PRM7x8/yCI0I+6zMAsHK4JFdZiQLk3IzCuRc9+LkEPbhuqa5OoJr9RlHfujmu+voV8/trioDb\nYAQs6qLWmUQP2lWoHcXWURUT/e5S5MTczabXVtyPJPQBiEPJk3DqifBUlReE2WjUCy4bAazOyGHe\nCa2f16rf/QaUUFAtx2cEKnpmRwGPIuc7tgr+VgijclI0T5KQjEM8x4MPX0tz9wh4AjnVVTJx/rh9\nEWDYGTnT7yNAutxVUyPqr3fQUqFzkHVqaVY4Dp5uD/skoTgKv0mf58lm13SGP+ZC2Ydw128EHMaj\n9bMbosEtuBt6nAGHZ4f0Y/zbodL8uVVARUMYuhT+1EjiIW4J3NXGuQvTxnroariiyCugxqF8Bfyx\ntSLCnarU2ZgV/g2G3g19J6tnoCHwPgtdw394yl6Q4bS9YN2b8ESkanPvNVPgvL4Cy/2A55yXgDcJ\ndRT68+2MAigverr2SajmsNOuMH40gHMlPps9ApjZB1p/Bn/KhWH5qj27Kk3avik616CH2so7YMez\n4f+ya1DNTELlAninE5yGHJsCBGIaoSDGe8C7/ty30yas9uvgB1JBj+BnEALzVRouJ2BMeJ7KYF2B\nAF83ILcb5N4HfeJgZ8Dc+XruTvA/ERSscEC7iXBxP9ghUtVpq2J+/1ehYE3SjysAGtn+HIPsYC4C\nZC2R0Mti9GxKoHuxMQIrK9CzcLmf8LZT4axy6LQGvj0BPpqdFqjx9N8ufl6nulD/UDPbBsh21QSH\nNjBR6UehZ2tL4ILgo/nwSke4zs9PD39uAbCcTuq53MafS3XmUCBjonOuOD3DV/2QrB2w813w2XkK\nYs1Bz6tmwMDDRXUOVIODZ+UqlOH+RTp9vl6yG6n+lR9mpTKwJahGbKM167UBPi+YE4DI5Dwo7ABv\noDUSR9nhntSn6nXGajSfDe9G1efJamCWk+DQAf5v3yP6+y/WF/w1WAbwZSxj9WCrzBo1hhVWlb71\nBc7tgNl4VA8QQc52p4BW453/gCLZED34WqEI83ekXtbhGzV4OJaSqm2r8BSnCe6n7P1j63s4OeDr\nelXpMrsOSYrnACShPALbpb/0ndkaS6lvrgXuA85FDn4psD81NKzf8JAWBX6DnF7WwssNlVnAjyE+\nH15uD/tFIS8BleXwTaGubwAcS4DBJnDWg6qgBAQmg+bnuyKndyWqI5mKQGK1wkC+brMDsNI5NxH1\nYXsD7xgtg3kt4QpEN1z9OAwZBXeFeuOVXglnXq9sxCT/0wkYnA0Nx8Bxg2D3CESDRRak7BxQDEuL\n4N/AhAPg3XHQcREsPhYG3QZt2sCy3jBrKsxxyqL9Mw6uEtgf/m+0nOAifw4TkCNehtmJMbgqBgtv\ngfOvESCOopf/OuAr59wqPweRPNhpCTzXAJoF4CMO5ZfD7jcLHCxDTnZD5ID3RI73eOB8Pz+zUdbv\nNudcMml2JPBPU7+1j4H9TcBr+y/hai+AkeWv70k496wfTyGqr1vrnPvOvEJkDowohmuyQ+0fHOsb\nyLsVsHAHuHuOQEk+yoJ94JybE6rjykWBn2/RGm+1QQa66voYipraL/C/N18ObzaBgRHIikH8e5gy\nUOp6U7OgYhU8VyD6pTmYmi1Q3BtlmQr8ueUCi1fAtU0Fumu0OCSydQ9NQwAvXl3QKjTmQ9B6+AI9\n+4rQfTtP00V7JPjzMTDTSdDrsiRYRPVq6yLKEO+Dc194p76b388SVDNXXea7AQJkU1xNIhyizAf9\nL2NO92lTg9wEVIyG63+jANEOfo7y0PrLRwDP0Bp8EYHZBUgYpTaxsFoBn5kNQOuySZB5Dn3W2p/7\nlPQMpg9KdKE65/ondKT9vHdnQ6pzKcr2VPgvngncjsD/aODAurxfPD04UEQNFHOz0Xkvcc7NTdtg\nZ1R/vRq4ri5ZxIxtPTOzJllqk/KlpdhHZUDvugTLM1azZdoyZCxj9WBN5ECvfxk5cMWQbJQSWzCA\nBDQ9FfZ61CyoxYuT6i01HTkOU5xzr2/qGJxzn5nZbmb2WV3qu+rJ/o6ysSC1y1Pqcd93oF5lrYCs\nEniiETTDrIWTEEcToNdC+LAN7OHBdjFS/QtqB3O/g8MHmK0l5egE1ymGAOIav51DWYVWeFl1TzVc\nb0lw28Ibr0L2QOi2Fr57C84+RU7WVf4Y1+HcNH+QKo2Mffarg3fMO6Nrn4MA/zSU4ephZj38JuUo\nulmAMnF5QKwVjBpv1r4r9G4kKiToS5X+++2A9i1gx0iIshuHyDmQe73A1mqUGZ3nnHvBj+/9F+DO\nA+CgrFSrCoJ/86HxA7D8DMh5Vf3xXn0QdjgN/paASBxsPPxYAANw7nnMpmVBr/1g3ehUNvo95Az3\nB7pdbdb3CvWiy4tCxz/BX692brinn45DAYXmJvn3YFImXA4n3QR35EH3tVB2K9x1s8DrIFRDtho5\n68eQogWei1Q3m6C1+h4wZKnZ7JZqYB6oQ45YKdGSCz+C44dI8TKYx3ygi8/ub4dvaB1y4iuBtS2h\nV1RNt9dbDMqfgheehPEfQHlcIO5pP744obo4n5XsiEQlBqPATq0S8M65r8ysj5ntjdZx8a5w/3/g\n3E7QbgVM2E+1jjHARkCjAmgTatbey8E6S7VcSAIvuYBOZbafUzCjRt8hLrD9nd9+IDDZAxEA3ofj\nhqv2zb6ATwvhVh+hKnXOvVLNLsf5+2aPe+H8hLbNCy5GxAc7kvDu3srIV/ifD2sT2vBU7o/NrK+n\nzs/zcxacm5sCZ/eCQtPyz016Of6ID8Rdp2BEU+A+59xaM+sPzHch0RAfEDjyKigaBr+fDF+Y2aTg\n49C/K/wYqjUPXkYAE5tC7AXYD7ORwDMmYDsUgckNhGj8+a5EgDW8zybAID+/gdVMs0tt2BC1FokB\nr1O9mmwRoq0HNPrg/ihBlNraawmdux+zN9A9MmkTgokx4EAzC3q5Tqr1fSjxog3bG5mdhYILC4Cj\ncG52HY+fsS0wH9gbh9lc9DyPoGu6cbXsjNVqmQxfxjJWX6YC8KvwztRnsN9IiK+B+xtCH+9ELUCU\nkfRam9YoG/TFloA1/+LeHRi91aO2itSuIuUgxYEi6lPFVBmOQcAavFiHme2C5upT59wPnut/HMoC\nPAnshZz6gFq7J2mqeX4/DUnVhzUInUdr9HKpeBRa/Q5uSIAziIyFh3cWMAgsD1GnYsj5KyPV03Fm\nuD4w7dhRYJjz4/I1TNuQkkoPbBXKVAQqmXOchDjGJaBXlsacQA5jCbAvzn3q9xl5CM46EW4PxB3i\nUHkqXP+Y9p0LXBN2vMxs+xegwQHwelYNVMQlMLa1ejU6YOQ8NcoO+lKRhMpv4YHBcH44k+GvG4gW\n95Yf84AF0LgFPJPjwU4FLMqDg9CLvj9ygr9xXq0ztMYbAD9GoHdS13AcAuwF/v9t/PYrEGhq7P+2\nENgf1cJ9A6y4Eo66Eh6Mhui9i+HDE2D0m3BpJI3m+iHctLvOYS0bKs6uBVoWwG5r4cqwaEsCyi6C\ne+6AF/y1nYMCFAMRUC/sBrmLoW+JxHrmIid/vKtFedDPSQ9UU5iHnOQgkFHh5+QrtFZbd4QdBkLF\nJHjnB/hPFNpFwMVgbgEcfwg0KAb3pnPvh47R+xzY/g54OGvDrHVwfhWL4MaOEt7CH3eRHw+vwG77\nwdURXwMYh4of4PFtRH/eEWVgw+e5AlgUZH2SZlMjytZuYHGofANeOQgeIeUc5pFSGQ0DjBz0vCiC\n9b09m6OM9zJ8YnsinNgPTg21rEjigX8C1kXhFJx7Ou1a7OicGxP+2yyzkZ3gvQgkHdi/4MITtP4m\nOucS/vo1RQC/H6LsBub8OeSgDHByitk/esNhBtlxKDsQjnhT6rFhqvu2wOF+Dv9W1+dyDTS7lOCG\nPv/Wj5cYzOoJp85J9WoMbzMrva60vs1nwfuTug8XAO3cljRgF+V3LFq/SWAszo3YwqFmbFNMQZi/\norX/J+pQl5mx2i0D+DKWsfo0vSg6InrjEoCbzZrvBlflQVYRXNUp1AvOv+i3A4qdc/XS1N3TRHdG\noG/r3eA6zip8hD0BpU1gj2K95JfWvvHmHM66IyftR5QRHYacwQ1FEcwOQkIWb4QAUFPkyFT5Jina\nbBwJgVQiGl0MiNwFDc8TUJjKhnVCRsrBLkJzETiQ7UmJWzRAWaUIKbrhHATWHAKLA4GHkcMbZCbC\nTaIBml8HO/4ZLgj37XMQM2iHMp9tSPW3n+jkAB/ngFWwbiRcNkUAKB/VnM4n1ZR7N2Du7eDOgYuy\nq2mbkIRPoqpjygHalcLD+Wn1SRVwf56onyuccz+E5mp3dO16IyA3qDF0WwkHG7RJQtZ8uLKTF1Ax\ntW9wCPQEgj+NAZxz7/nv7IDq5+YgJ/MYlC2d6X/PRw77oSgjvQOqmYwAQ56BwsNhYAKOjkBuRJnK\n8gfguUYQOwaOy0kDOFPgrb7KFs52Vdt4NEVqkB2ArH9Cr+PgWINkElgKn3eC82KiOU4NbTfUwTcx\neDYKBzpwT8ArJynz8LCrxln32Zme/jyCxuSzUWZtkf+9ASmhn1IV9L71AAAgAElEQVRg7kQY0B/u\nTiDQchNcdjwML4es++H2e5VVPz8JkUq4OF9jyEYBhYLv4cIesH9W2tpIQGUSZvSHU6fpHiry1/l7\ntKa/TcCTkRQjILDvca6fp+LlIWXU8hAIagfkFEHHVfCc1VI/uAy+aanMbHDflfnzbujPIWAoV5Ki\n/s4KAjOmer0i4Etfw9sOtfEIznWp31e+3+/QdIq5iQa6pAql0uwGB5eGBv6YwekoyBP145zkaYjp\nKp39SPUTzAdYC2811LOQOJRMh5P7qt2C8xsNQfd4nt9uCrB9eqCxruZB4HZA22dgz0Pg6KwU1b4k\nBsfnOvdi7XupP7Oq7XIqUMYw7j88cB3c3kA1wKewOWraZnsgGm5D/5fZONd1iweesYz9jJahdGYs\nY/VpUqGsokR5sYQGzvFAbJCPXE1ADnt/VG9Qb3V3zrm4mY1BghcbUlXq70BxzPZHPbOIwilrnRtr\nZl3MbBhyrL53W1AA752+oBXGTFe15+CnZtbeVIPxdRWn2LmXzewboBWiT4IAXACADTlZU1zVhtk9\nkJPZA3hyY9Fp76CVI8egkJQzGqeq0t5KFHlOInDSAwGS9btCznkvlMkrIFU6FwBSA5Z1hNXJNKc3\nDtHecOMss+mIxjgZWOu0n8OCjRtB/rOwV3+t0Y7I8a1EzvzhCCis+SMwCO4YAX8KS7/HofwjOZIl\nCGgsXwCTusL2Xo2TCog9LHreZ2bW3NeWznXOLTCzD5FISg6iKb66Gp7oDh9OAxeFhZ0hP7hIzrmp\nJtraWAQU16FM0EwPEPDzudSfRwXKjHXU6TISAY5mCKSO8sfeH1j2EPQ7GM4yT6mMQ8kqWPs0zDgf\nxjyq7x4TnusklP+g84/7ey3iz6UvkN8DSh6Bbj2gXxTy1sIMA5cDL7SBayvVtmJ7M8t1qf5xbgZc\n2AX2Dii4v4N9VsKDf4RDzGwhWq9dUcCjFK3n9ggAxxGAXocEaPb1a6iLv6bPOedKfJDmI6Qqi0He\nOXBlQ5ieDRPvhdUOLjBPE86GW3eFwg91bmVAk23g75XwUSn8JVctRJxB1nfwyflw4TSNrz0CamP9\ntGUBx4yD5kMgYaGs6HJwLcyOQOBwITDKzKahrHZTv22PdRBPUnsDzxzdZ2/W9Xnqs0OdfV1ZYBHg\nZDObtwr2DVKA3hoi9kBX1LNtAxER59wUM9sRZfAC+9a0ZoK64q88kyPoqVoIDPFrob2p7ttQoGOq\nqxok7J2t5/o+iAZtL+kaDw6omfPgig6pgFA+CgxsgzLatc1HUEPevpqPZwCjj9A1OWr9NpDMrQWE\n14f5+elL6jizawj0tQeeauBp1yiTPnSD723cPgVmxaFHlo551WYNPGMZ+wVZJsOXsYz9xOZfqkcg\nJ/O12qhaW3icRqgf1NiNfnnrHN8QXa0BAi116h3nt40iJzqKIt/VUiNDx9kOZVXCBfelyOlxgJ0F\nOffAxabsZzYCBieYvhPUzM1wzq0w9W9b7iRbH0FOULpMe2AOZQoWuToonprZiPQ6G3+MfVB2YRGi\noAXH+tHvO4jeN0IZrOZANAGVa+CHFnBvUiqBOWdB7/NhRAlU9oI2uaHg3hSY2lcU2A7+vA5FgGkm\n8BjK+BUNhwFvwjONdJxEEpJfw7Rd4N4KnXMlsGQ3WPIe3GKwWxLcP+GLkyUk0whRlF/wmZOd/Hmt\nQdf1c3TdYohuuANSdtwuTMcyiaA0R45mLvCRp5YZkGfKGn6P7qleyBlOoAzwaOT4dfbbxlFrjc+A\nDovhuVbaBvRhYjD86Tv4BMjPhn0XwTFNoLVvaB2LQdn+cMx72n8MgZQp+TBvLFy0LZzjPC5JWyzr\n/M/t4+CuITDcOfeJSU2y20I4ri2cHPr+ms/grJGq7e2C1umLqHfhQFKtKib6NTOElNrgq6REQ+YC\nw7eFud/C7k4qo+vrOpPgImBJqFwJM5pAz4CGmoDyXDg0IeA2AgGd74H9c2D+ubC0BSTvgSYLqlLg\nKtC9P9mPIQo0/S30eAn+kgW5pkxq/AR49mmYmQet4zAzrjUS1NSZP4+vgeUr4JYmsFN1Wb4ElL4G\n1x0ML9YHW8LMes2Ex7tqXQZWDIzYWHsZ//xY6VKqooZqXg8B3gVurklx0FOfs9EcfJAW5GJHs93H\nCDgejtbAXb4OLdhBO+BBtE6C61hxKRx3i+bUoYxvOVXZA4EtRn1ma2q50woFjBo4cGWw6nzY/iHn\n0unom23+md6TVBuOUhQ8rL1MQa183iWVmVuOcy1q2aK2feU8BL87DT4k7RpkLGO/RssAvoxlbGua\nIpNPIercoolw/AC9hCc651abGmM3YuvRIJsDHV1d5Me3onkAty1yZCpQE+INXt5mlo8yNklUt1Vt\nYb8XzOhDCsgEtTUDkVOzEoGwuZ6aZchRDShwOEh8Cw8PUp1ACaotC1t/Ur3lFqNeh1tUF2lS2Sx1\nzv1YzWeBMuMuzvdw9I5Paz/u1ijjlLM99HsM9m4PDVbD+OPhuo9E22pwNOz0b3jCID8JCSfwE41C\n1IGbCEv3hpsWCyTkoHqrXujaZAGtI+CWwoWNoF82ZCUgWQEl28CFs+RMfY7ASw4CYg3bwsJVkCjT\ndW6JCu4D5cJvt4GvXoZL2kB/B+MPgbvfVrZpRwSc5iHgPQ/R7VYhoNcKgf92qMZr2d9h0O/gzigU\nLIJFe8N1kzx1zal3YQQBlN7Icf4cratvEM2zMVA0B87pCNsFACgOiXZw0VJ9vhz4pj/Yo3B0Hxgw\nEVafCjMmK9u1xu/rq9/C9Efh+TYCIxtjzpQCXx4Ep7yi+dkJ+ORx+M3xcFME8hy4hBRVt79RjeI7\nIaro8Faw+DGIRyB5JkyfpXkuRcCvFFHZihFw/hzgPrPmR8D4ImiZC7kh5VUXBk9OffoubAo3xcHN\ng1WFkPcWzPo9jHMCwm39uX+tTRhIKgBQgu7FIhQgWe2vofNztXYkFF0EIxpC8jV4owTW3QhXNoYB\npn08tg9c+xb8FvUWXC+WMdpsx5HwQXqriyRUxmHGDBjYTwGmnv4Uv9sS9kSZ2Yk58EAU8pKQjCgw\n0pVaxGACq66Wry5mZoeiwNNEUz/Izv6jhd9C6/7weaim8FWcOzC0cW+U4QcBslIHtgDe66T2EYE1\nQvsIi7hUIoXgjZ4bGteR6L79t2m+l7gtULj0Ii+9Qn+qUa24lp3koqxpR3RP34Jz19bw3eZonc6q\noX9pBBjsMrVjGfsvsQzgy1jGtqaZPQicgK8BicHqbGiWHt31QKAFyuTUq/SwmbUFmjrnJnkAWs7W\n6r1Xt/Hkk2pTsZpUg/beKOo8wYO07ZEj8Y7Jme8R2k0FcjbCVKz5zrnFPrreHGWXElB92wwHzIFn\nusJNCPxUkUu36pqwb9l5GzDC+ZrCtL83QWIzMxAdqTMCcIGtRWuoAIGNiYim2Im0bMcdMPRMuCPX\nr7kyKE5ArBCaGFgCKj+FJbvCvSh7CBKKGIcyX+32gxYvw8vRqvNVnISjsjSuff0YgmsYKPLhz2E/\nv+/O6Bo2eQt67Q5NspWVTCyC2R1FlZqGQEM5AqeNSQGY5cjJ7oak3Jc7ObQr8EIgCfVBfO8QuOtN\n3T/fmmi8E1GPu4nADs65m0y9vvohkFW+N7R4Hi7OAqIQfRjeP1OZzglojTVCc9AArak5wCsIhDYD\nGkeg68dw3A7QJVqD0E01Vl4K45rBG+VyvMcBSz+GXQbCyQ3hx2fglqO0v0Ho+i8cCD9+DP/JgeYR\ngbXFWbBN0DcsVL+7u59XgJyX4dh9YWRWiJ7rrylJUWkNoFLr5PJbYbtz4XDzKqOVUPk03PE7XZfl\n/tznIsDfBYHMIHu/FgH+CQhQzK8pcIOUJ+c4aBXQPBNQMQfe6w5/ACLOuWn+HhkKVMYgK0t1qT1R\n3WBeCbx+Klz2VOp5EGDabjpFJrs69HCrZnwGnF4GZy2Gyo/htBPqKAbia46Lna/lrsP3DdixCRSt\nhHeqEfZqvxYmNIBmaenNA01Z686T4bI+cFIA4lfC2B/gmh3h7Y2pXHp6a082rNudvT5TWfv2vQGC\nmt06fD9CSFEZrZupW1x3rnt8L2AZNSiWYnY0YjM4lBE8pIZ38upALCpjGfu1WwbwZex/15R1Ohtl\nJP5RhRZTf8cYh7ITgVUCbanhJWKi4wR91qZV953Nsd+a9XseHm8gxzoGHMdPWGRfk3mBgx1RRmJs\nAHZ/MDu/h8QXkkmInQn7PqKsQkFo8xnO92ZL22cuciQG4Wvn8sHWwfuRVL8+0DwMwrnJ6fvw++kE\nVDjnFm/hORoCC3shUY3qaK2rgObO99XyYiXFyMHujRyTqbVFvH029+BWEJsGt+RBkQHT4YlecFw0\nJWRBBZR/DW+0hYrn4NmL5MC3B9a2gtUdIe9z+Gs0VDKVgJL/wIXHK7NjiEI4GYHOKHLyC/y5rkTO\n4/f+PFwJXFuQoloF/dqeRg75NH/8ZX5+2qD6m8U6tBrfd4S238C2TdWyI2yJJCTWwFdRuLYZrIn7\nBuuohvFDlDmMIhDwJRLm6dodooPhgPkw93NRJjv4c2nhv7/SX58Kf94laC6/AQ46CQ64HwbmbWJN\nfFLX1CU0D/8B/mhyto/zx+uEwO5X/vzjb8Oee8LFEX8fVEDsIXjpPFFoWyJAl4v2HVBgy1fDCUVV\n1z4AMWXGkr7vov0B3n8cFq6FE7JC196BewlePlT1ay0R6A/qUV9Gz6tND5aY7YvOvcrYkhDrDnvM\n1nyU+WONc2H5f7PO/hxnG/Sqibruqe0DSQUkpmvqiCNmxdqNjpP1YPoUVCM4t47b1CnLZ2ZFURhU\nCgdlwzmAc3BdVOs8UBFukICvw21WHDAG3hopdeLFH8FOO8GFlgoMXYNzN9dlrDWMy9B91Dzto5UI\nCKaDpPaoV2S1fQT9Myq4Dg5l5Guk6281U8uGgM5aAuxMGgvGzIa6LVH6zFjGfmGWAXy/RpNi1nXo\nxXsTztVaiJ2xGszsBhRFDuT7t8e5SbVvtMnHuCMBZ/jG10nkwHaoqX4jtZk1QxmtErx62xaO49Yk\nnBOSly8D2lCf9YNmA5HD3Aw5GrfX/FXrjs9oopqxXsixaAWwDv5UqCJ9ElA6H15rBO82hX8R9ATT\nfsLNhMN90KZ7pb82KDM0wQnYv4qyUTNRQ/ZaQXVdHNeQ0EFbQs4YyEvfGRpOgmVLIb+KAyEHMhr0\nsApROg2NdTjwiasZkOaRalDeC2XIXvD1bY2A/aZDSR9YuxYeyYeuplot5/xceUXKilFw9dfwyZtw\nfw9RLqmEBdnQMgp5MUishBW94JY1EpWJoXrJ/v2g5EfIXilHuoRU0+vpSChiDLBsAbzdBnpHIJIE\n9yOsbS867Rw/f9/6OWzpzyeC1kYnYM4j0GmU6vTIraEtgFNrgcpKWHce/PNRneezyMHfCQHuFSij\nGkOAoYH/e0OUXSxB90chymb1QADvWwQGg/YSjYEfV8JOTXSem20JSKyFVZ3gvmLdo5NQTdwQ5Gzn\nA0vvhN+eAYcH5x+Dirfh7cdg4RvwcbnWwM4IOEf9fEZWw++KQoA/sEqIvQRPPAdffQHRedClHSTn\nwQWREOBLQvICOPQuiSFt79TgvLufpx/9XAXAJJD1D99bQVKqynPsfdh3F/hztGoghyTE74ERAySo\n03kWvHkyPFRdgAfA1P9u7sYEokL3Vh4KICWpBghTQx2bCWS2Rrf2WFdVoTXbn38wD/lo/itJtYlI\nrz10KNDR4HlofhD8JQjMJKDsOTjl6JRI0vBSeCY/xGpwkDQ4C+ce9IOIALcCB6L61bPZCj1ZbcMm\n7obusWn+vLdFtbRBa5XgvbMCgeyf1/GUuFV3UEZ5NIzYMw2k/qSAz+wUpI77IfCXn5OBk7H/XssA\nvl+jmb2P1OeyUR1Nl5oyRhmrxcy+QMILoBfqOTj3WH0eop9Z30/g6qawK3JsR20MZFQdojVAL8w4\n6sW1eTVkamC7T/BrAkpfgj0Pq6Y/3Wab2RSUjQI5goOoKj1v6FyaIGcyiOwmUb3GemdtudlzTeGA\nCOT4GrRKp2b205vDKSGu0yqqiTRvODQbBJhTVmYnJI4xA9V41OgQmdRGv0YZp9ZUIxaBnLYlwI9V\nRFvMWiCnq0dC53hQ1Ll3/GfnAzcjh+hfwMmmGq2gAfx3yFHcPhB48RmGvqScpwq0btugescNapVe\nM9v/N/BYFBo5iGdBbkzznhv0vUtC8iN4rgAaD4Ldc3ymqhJic2BCErKWwKI/wc1fSaCkKVDYBHYb\nCyd2g/YGyZfgvsN0vp96sZv2yCkcAKw6BtY+ArflC0DNugguvk3goDNyYmeiwEsJWh+dUZbwsS/h\nrIHKflQL9KqzCoj/BR6+RoCzEykxkHV+TDGD6d1h6VyYWZlqLbGYVPR/JqodbAmM6AvJvaH4Gygd\nDU2GQsGncFhOGtDfHItDYgUs/RrWnQ0T5+j6z0BO8jqgWRtoMRFObRQCb04g3qZCyQ6wsEJrfL7f\ndhIQnwqXdYMDomkilzGI7wGXf6LsZzbK2DaaCQ93hI5ZkJOA2PvwxG+lXLjSj6UYgdwJaG2XhP7e\nGz2rNu60KiAzixCN0CkbPA/ILYCmEciJQeUkuHOwAkoJ4FtXtX+koXulTgJVgRomovcWoOBFeLzN\nUUAqHaiWo+fXBPQsW06KFh304iz2P+XOOVdTls+PYRh6bszD7A+IXp6LBlP2Mdy6u8SlOgBtHoRW\np8JFluq/ORMYUq+9TzdmApXNgJVUVTjOQ/drW//TC5gKvOWcW/STja8uJoXfl9G1vNZE024MfOsk\nhnNbHHKz4Eqcu2srj2V/xHQIAs9X4dvSZCxj9WkZwPdrNLOgZgYHa02NpTPUg001s0uAyxwUmB60\ngzcFjG1899YSaOnqIWtoZjmIoghy7jctamt2KqIHFSJHYekg2GVC1f5pS4F5mx19NVuEwAdJqHwJ\nLj5MTmIgjx80ni9GGZWaHMLszlLzO6UNtG8BXQKvKwmxA2Gf16s2Z66r5e8Jw9+Ea7IgzzeJfqsj\nXI9e/I38mOKhf4Pof+BEx+s8P2b/Rs5DUDdVgua7LxIRKUAHKnsT7jhAQOmt1OZmKFvTBAGtBFKq\nK/c0tW2/hJ5DRRn+Hng4qPvxAgg7roPHCn3WNAGVJ8K1u8CSE+GvWalMQuVieL0JDCmQY7ne5sCX\nXeRwmn6lB3KEF38MvXaEQ6MehCWgcn84+S2tsXWkwEU2+k4p0MEkSlKKBFhW+33a3rDP9TCgHZS+\nD++OklP7wFNw65Gwj6VlgepiDsouhytvFIAoQqC6EfCfmyB5LtyXAw2SEL8T7rlYjnwRKQpbWz/2\nRU+AHQ0XJiWYkrUI7loOyW3VE7HOQHRjFgO3Bip6wVsrtQZ9BwWygHUtofRc6NwHmu0LffJC7TDu\nhTcvVGa1IQIjpQDdocM4OLoA8rMURHEJqPgenhyge3ExymAmgZYtof1TsFcXaPYRfHki/AM5+dsC\n76Bn0XhSrU6S/schMD0u9Hsy7fMq/58Cl/dUc/tkQtnnpMEtUbiYVH0XMajMkaJsQxRIWIzqvub4\n+emLGpbX9FwJB2scCkoVo/uyi5/fZa46uf9gB6qB3t6PYSEp9d6JiFVQHcW8I5AMC5r4/Qzz89QB\nyL8Fel0Afw/VgZbeDIf9Wc+6uahH5qtOY90D3Tv/qYuATL2Zej9+hgIny4DhpvdGf1KU5sXOuXn+\n+TWSVAAnbNVSQn9OMzO7E448Bx6PpgIQpcABOPfBVjzwZcA1pOboGZw7qpYtMpaxzbIM4Ps1mtnj\nwOEOsipg3a3Q5wrnlv3cw/rVmV5Ix/4Ae/SGv+LchHrcdT4waHNU2jay3whytnKQAl3d6h90rucj\nAZmFiAY0O+0rrZC6WWBrUeYtaAfQHQGQMvRCfJ+wwIzZccCjTmNLJqD8ILj2DUWhX65OuKEaahCk\n1OLK/bjnk2qJsBJovbkNhDE7MAH/ivpasjJYUAAHIadlFSmlyuzQ/7dDgCqbatqAjYQGD8NxDaH1\n9zB2P3g7rsn7Z0NPSwWB1f1h79Ng0H4CnYWgjMYX8O/hqo+qJKVk6hBFqje61mX++g/tAolZEua4\nCihwULoW3m0sIYLtUCZiciU8li3ASALKrobTb4S8OXB0KxgRhawIRBJQEoV8L/ZgflyVBveb6oN6\noeu4CK2fnjPh3q4aAwClED8e/v2CnN9CP6cl/nw6IXAQ1D71Q1mzCuD106HVX+G+LMgxsHJI3Apj\n34cf3odRmyCGsoGVQEkzeKBCa+h5YGED6L8C7swJ0fkSUH4iHPYvZbli6F4oBSYNg0GfwZgwsKuA\nxDsweT/YdovTe2lWAZU3wIvXaSyB+uUslO1LAE3/CoecDidmpzK1MeCSiKdS+/rYpggoj/eZ8tOB\n/ZZALB9uKtI23wAtG0PuZDi5JZwUBebCm8PgnWXKPhiaq/2Qw1+IgFbE/5j/Nws5/5Or+ay634uA\ndodB7iGwWyOYfTW8ey/sNzQNSDvVOh6YEFUwhup0m6DrFEeZ3OZbQsPzQbquOhwTqtQMVv3e8EAB\n1d+Tw9EaDeoB1z/PRkHF7fBgC+hVDLMOhXve1+ff+3FPC7Lzb5udvgecVQn2H3joFPUCXWlmxwNv\nu62g5LxJZnYxcC2eeTEHXuyqWutJtSgqDwZWhOsefclCZzZ87k+tac5/EjM7wcG9lqLNVgKX4Fx6\nzXB9HnOAgzEOohHdo0fj3Ktb7XgZ+5+1DOD7NZqoXcehiOuTpgfnwi2RRP5fNt8aYe6WyHen7c9Q\nNHb01qpVCNEjG6DI8kZV1DbjGEX47MsV0PUqeCwC5oUlyoHKYhjUSE5ZQ4DlcG8zT5P1DuifI87d\nESr+b5Z2mI1TMgU0b0fO5J+qa3a8CSfVBvjBKatTuQj+3cG539e+iWqWaviwAAGc9sjhK0F9sS7H\n7JIEXOFrcmIIMPX9EroMhkmhDFv5VXDrDepBt1x/2iCbNRg5+41Pg+hdUuEstJDDlATXGE4uFlVp\nja/lGwX8DTmwbwKH45zLMtvzfTh7pGh+VUQgnOiz8XVQOgxum6brPQ0BvYUI9PV7DfbYF670mbdk\nAlb1gd9NF9AzlB1r5P9fQqqZ81h/jjlo3we9CCMOUnuE9bYCVn0Iqw+CTllbQJkshfil8PbdEmox\nIDYMOn0Ev88LAfhKKL0T7v6zaGjLEU0XgDOg493w73A7gFKoHA2L94aOtTUD30wrBk7BuWfCf/Q1\nZG2ApU6Znx+cssYR0xwPCnqG+aDTcL+vKPC1S2WA90KBm8+Ce+97s4d7SqwlyNhWlMDLRXCjVz7d\nHq2D/Z1zT1Q3aDMbAEz14LIFsLiWfnNZSMhoDWIWzPd/73s29L0b/hFJ3QflwNsGZwBNndZhBySp\nX+KFmnb35zsTZfrGrwchev40BtZsrH7afz2CMpW5qN1AenCsCdDaOTcl9Ld2qHbxC8CdBCNKIfd2\nuKoVDMmCrCQkV8LMFnAsCnbMcKEMnUk9cu4BMPcVuBwYNgFeH6Rr9/ODALM/AjegeYkBD+DceRvf\nzHoCWbUppYYooeHgjkPvh5+mZEXrdwypdVcK7Itvk7O17Eqzo66CVlH4ivoss8hYxkKWAXz/JeYf\nqHnOuYk/91h+beYdj21cPYnfmNnOqKC/3ovlazheDwSkFmw10G92uYOrLeQgxyD+PDx9jABFCcAU\nOLMHHBtVrVjFbXDvpaKKgYBCfTaZD6TXPU7ZgDZW3d+S90Lng+GAtbBgCHxQKiD6PaJIVbdNY5RJ\nmJb+eQIOi8DfqdoeIgbk7QbZd8KdA0UBmw6cZ8pqbXc3cAKcnwfRXLjGJGSQLhpQhBzIJgjclwHj\n18A1DUVxrFJPmIRYAexboezL+vFsBw3bQcHrMDWh69R1L3BvwMPRapQlS2HuG/DgrfDul6n5nYey\ndBEUBJiNAM+BfeC4CCz6C9x+p+YlC1HVfnTOVXqw3wI56D3RHKxETlUDYPlncOxw2Ct8QmtgeSE0\nzNqC7F5oX981Vt2mARwCq19QneT6fSeg4g9w/r2K6vfxYy0ALB/cctilIDRf5ZC4D74/C3rnpbU7\nqKs5IAaJQMgmRyI6lEJZX3hyoWiLc9F1y0P1Ykv9zxIHbafC7T1gRUQshckApvrRnsAYX0cWRQIw\ncbSO+rsQmDSzDjGYmFWV4g1Q2Qd6/iDgHjR1L6KGYJaZDXOi+o1B+5oDDCdNXdYDqtMQ4Jzo18gg\ndD2mOOdWYzYCNRBvjqTzz8C5knfNTt4D7o1oLHFgV/x7z1OdOyLQ2g9IDoQFn8KDBdDNNLYRODen\nrtfIzFqjZ0QSZf0q/d9H+PPMQRnwIBvZ/2P4zUg4zK/n9ABOJc7lekDeDV3XjqQa1S9YBScXwYkG\n+XEonwSjBjr3fF3HvNXMrCHwPmIRTAd2oe5tJ9oC7euk3praJoIYIE3TPlqBgGD9O7BmxwK3oXfd\n1Tj3QL0fY4ND1hJUzFjG6skygO+/yPxLvg+qBfrFcOO32BTVvgE5a5elUxHr5xA2xNVDg1UvDjLv\nJ4tIVj12RyQwscz5KH897vwwVMezvqbGQekjcNmpoea9bWHR53BSO+gdVauLv9brOKodmgU0xHS6\n2Kb8LRBDmVTD9wYigFBl29FwwE5SGVwvopGEpM+0dUVAqbX/fls0V4GkfdC4O4mosvPTTq0MOc2r\ngTn9YcAV0OkgOC1HfctwqHbOgFfhnkMkz1+JQGdQixYlpZZXBMTfhd12l2LmBjYZFnwMcxtA9AH4\n7nOBmQYI7HyPMhMgENIQ1WWWIed7GSkxqWKqr23r1gpKX4WR28CRUWiyFpYVKZOXDQJTY2DujtBh\nc8FU2JJQsRS2aaOxDgK2uQmOOA92TWhy7ClYfLKAbBma8/n+3ySQcyjs9KRqliJR4Hm48zqY9A08\nmr2JLRlC44q/B9deDyueg6ubQdMYVFwIL9wnxb5tUZ1YDjveo4IAACAASURBVF4YCK2/IMMSqKF+\nTap2rR0CGNPQ9VgcAt67+c8KAsDnxXWaJOFjSwN8SUgcD63+rTmLoTU7DbVBqBIg8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S1sHIatDZVwtWFoPo9fDQw2rF8Bti6RqhFE5v3fx6EiRdDQ80hrZTYOYxMDMmcBtBYCfsVyY2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DdWk6e5g1xL9MnMrEv8scGlxBrTwTn3dGImrX3p0hHkrifezzjUvwXzh0erl8xrfBOROZFv\n8R4RKVGa4RPpQBbri4alb59vZAbpuE4eUtdkdgyxvqVvPWyrgP6VwLHwIcz+k1b2urPoOTeQSN9s\nTTrfa2RTzmqJNUjdQxRY+ElHHiIVFJlOnHAubseJpptZxS6zvvH/TwGfGhQB4QqaaJCdeq2NJ07u\nn27NyfW4SMvbAfSqiO2HpbWWM85NM4ztlQK9Q4HXU8GYUY21PDCzQ4hZqWZ77Ln7C2Z2lJm90daZ\n8vZw92VmtsnMjgXubWm8nc3dt9DEe32rGZW7BoHbaVu2xnlEddPZRHGon6eLC7vMJKf05gPSBcSM\nemIt4KZWHK+Xw86pcIOKYVClmTuR8qQZPpECM7O9ifUNAC+7+6pijqcsmL1BpN817GewBZhBng2d\nU4GX/YmT+LalSZmdD3wBeBE4m3b2MJOd666mE0H0kvYW20jtMfZoLEU3zdrNAp4mGnr3dfeF6fbJ\nxAzLOm9tk/DsAXoSPfYmOFTNg1/MgY/Vg1dApcGRuC9p40PLfRyziKC4Ln3/UeCuzCydmR1GK3rs\npVnVQ72DW2m0MIZMBdF5XWUtWLXZrBr4XBW8h1jn+hYwk45Kw2xE+t2NZ9c1gLVEELiliW0mrILr\nhsJki9nJaF3hfkPHj1hEOpsCPpECSClJexGxyKvegelu3ZLZGrJpTduI57ke+APw0ZZ6dqWAYhaw\n0t2f78ihSv7S2qlpxIzY4kLOLpnZzMZSNWeYTb4fLjM4sgpu6ge3botqiQ483tQJcisPXk304lte\nCxdVwudToRsHfoL7Be0/hPUAJmdm9VKw9DHgRiJ4XtTaQkLpYpV5K2fMCykF3kcAz7h7XusriyU9\n59M8qi3PJFJ/H6QQr6F2SmObwK6pptuJtYgTgOc8+i1eSFwE+wvut3X6QEWkUyilU6SNzGwk0V/I\ngTcKsTZHmnQh8EvipPl64GKgbz5tLFI5/F7A/GKkq8nu0pqoqUTw/mBnFr25Fj7bC04x6FULn/wb\nvHWs++UFPUisOVwIUGX2AlH0o08dbKuMmeECHMK3p5mdzPc7zOz/gMuAy3brcZffPpc+bHalm51l\nUU7/NBprT9KB0mvhfjObZmb9ihl85mEGsCBdcCqpVMi07nXn7y4F0ocRPRBfBcZarGH9O/Cj1q6T\nFZGuRQGfSCukio7j0rcr3L3TK9t1S+6/w+w2oA/ub6Rbm02ZSrOu+xKzNgXtBydtk8rQTyYCoA4N\n9C6DfTD7PLGe6jLcV5nZ6MdgUurVRyVUHZ3TbqKD/IIo/HJSDdy7Nzy2xqxnPhVH87DKzEa4+8qc\nioq/JNILW9/03uygWXCORVprf+LiypQCjLPV3H2JmR1gZpPc/clijKE5aXZ6e2f1+msPi56vexOz\nvvMb/Kw3MCnNCGZsJqoWq1iLSJlQSqdIC3IKODjwlkffLylR6QRmBrDMm2mELZ3HosLnJKLqX4uV\nLgtwwEMd5pNSfzfBcwMi3XHzTbD/GfAboLYWKqqiQXynFd/JmWl5o93FScz2XwW/Hgh97ofbjnO/\nLB3jbUC9u9/Tyv0dTvQm7JdueR33Me0aYzuZ2SiiCmlJXVwzszlE1kDJnkSlZuiziOI+r7Riu37E\n37zcPoYbicJjJR/gisjuFPCJNCKdoGbK7a8jrnbqzVLC0on0IUSfuMX6fRVfulgyEdjonZkaaPao\nw5RMcR+HWnOv3tkWIWY8Jr0Ham91v7PTxrXLEG0/ooLvgja9VqNv28v1MLQiXvNbiCJCfwAYbXbW\nXJhxQFyo+t+8gtroe3gHcChxsv8x3G9s9dgKLH0ezwDuKYW07DSbuq/n0WuvWMxsElHEpW2vr933\nN4CYQa7IuXkd0Sew6L8TEWmeAj6RJDVWPjh9u4EoGqA3SBeQik2MISo8qpdhkZnZUGKGIP8eh4Ud\nwBIi+M+Yj/uchn3wmirs0lnSWsbZxOu2dWnHZjPrYG5ldjYO4He4nwVQZ3a7w9srozLoOmAf8ini\nEmX/DwTWdGSvxdZK6xWPJlKBi1oUxczmuPu8Yo6hKWnZwUTgqQ5r2J491mCySxwy3gJe0d9OkdKi\nNXzSraV1GJPJXiF/WH+oSlicjA4E1uHuKfVoKlEZ9f7iDq6biRnVo4gqgP/EvdbMRhAngGsarhXq\nZBcAtxNr0Z4CjkvpbduLOKbdpMDlbjObbmabm2uO3tA5MPjqnL/hDlsNdlagrYxKl9XpZ9UWlRhb\nbgcRszUlt2bO4/U1FzjczF7It91EoaWLGZ3WciFfqT/fbGB9Z30WuvtaUnGinHEMA2bYzg5/AKwg\n0kp3/dsaFzz+jZiJ/BnuKzp0wCLdmGb4pNtJ5cynEClLW4miHkpJKXVRhGUeMMrh2SPhM/OiqfQj\nxR5at2T2E+CjgNfAIwPgklpY5e4vtLRpp4gAbwCwOl0cmAE8mluIotgzfLnMbE8iWH6gpc+jnT32\n4GTgpw4V6+CxwXAUmf51Zn8Bjgeqt8OmJ2DsdPe2NAQvOWY2FdjQaWt0I5h6N7DH+bDmF+5/7JTj\n5imlB48iLliWXLXNVNF6dO5NwOseRYEOIy5cvAnsj3tJXZQRKRcK+GR3ZmOBs4DlwLWUwSLtlA40\nlfjDsp0I8lSBrCuJAON8oKoedmyFr/Vx/3axh9UtxeX7HaSiDvWwrQIm0N4iJB3IzGa5+4Kc7/sC\ne7v7U0Uc1i7S59QcIp18txmstE71GHJ77MUFrD4WKbSPeOaEOYoXXQgMfQOu2gvGuPvdnfJAOoGZ\n7Q/0dvfHO+FgNwDvro9MEK+AI3B/tMOP2+KwrC/Rc/Eld19W7PHkK72O96yHpZYtDLMZmIqKool0\nCKV0yq7MBgGLibS57cTi/U8WdUxtZFGAYArQA6gFHivFq5+St52zHhVQ36fE0vO6FXfH7E1gL8Aq\n4v31VpFH1SRrkF+W7A280slDaVa6CHWvmU0ys5G5RUFSZsJRwH2eOwsS/9+O2UJitmReur0G+C7A\nnrGD1Q2D3q7M3V8ws5Fmdri7zyfS83tS6BYsUeDnNKBXqlbiwKXAmQU9TiuZWaZA1f1dbRlCGu+y\n9JqdRgR9m4DXizowkTJW0fJdpJuZ6nEhoIpY/3JqkcfTNDPD7ArMVmJ2L2YjzKzCzKaY2WziD8lT\n7v6Quy9SsNflfQtYSvRNexK4qrjD6fZOAB4CHgNOwX1TkcfTnAnAcw1u61Ps4h9NSX3nlpnZsWvN\n3l1r9sgKuL8myuI3eqEjpYFusLho19jP1wNvjjSbhNkJmB1L44Fwl+Huy4HHrzO71GEtsAqzHxf4\nMLs8R97IbR0uUkrTf22UmR1FVMfs6tWITwB+APwUOIzC9KYUkUYopVN28Qmzw38Cd1ZCb4sZlNtx\nf2+xx9Uos3cCNwN966F2BdyzJ3yZ6PNVU+TRSUeIE9TelOiJupSmhtU5020ls36vKVvMRvaAV6qg\nJ3Gh43HcpzW3jZkd4e4PNPXD9TCvP0yuiNjlety7ZAZHLjdbaTA8fVsDTKMVBXCaFZ85vwdOBCrr\nwH8DHzrH/c8F2X/zx55EtMkYWQfX9YJf1sJKd3++pU1FRHJphk8AMLPhZnbEL+DFKjja4HfAD4m1\nfKVqBOmCawVUjYr1HAsU7JUxd1ewJ93FbTDdItCDSHvbN4/N3rAocNSYvQbCIRVRFbEfcF5Xn+UD\nyHmOMgq37jyuin+AKFD0+UqY8jF4JKVUdrSfE8VYKoD3b4hZaQV7ItJqCvi6OTOrNrM5wBB3f8Dd\nV+K+CPeP4P5lSrun2V+AVcBGoqXC14s6GhEpOWa2B1CUEv6tYlaF2a8w24zZsj+bffTLsLQSXiTW\nN20mUt+alSpX7tPEj9eSDYYcWEF5pPmcTTw/tcCPKHSlWPd63G/B/We4v+hRnGiZmR1e0OPsrhcp\nfbQS6nrHenQRkVZTSmc3ZmYHE1d6F3TZtgTRx2casBR3LfgWkV00Vaik5FI6zS4GvkGsnaYetlRE\nKfutxFqnNcC9+QRoqR/iIHdvuG4RzI4GfkykPn6cWC/YOcyswwLMWOdW1Zll/VOVzNnAvd4R1azN\njiT6SVYRxXjehapLi0gbKODrhlK6zz7EWrfCVjQTESkhuwV8ZqMczl8EA2fCpbhvLeLwssxuAs7I\nuWUDcCzuLTdLb3R3diTR0680/sibfQ/4HBG4nkyZVAtN1aCPBh7qkCJAcVFzMPBGmczGikgRKOAr\nZ3HFcwiwBvd6iz8c04FlndawVkSkSCxK9Y/f2d4gvn/RYYRDbQXcjfuJRR1kstHsc33gispI44MI\n+MbQxmbpafbpAHd/pGCDbCuzacB9REYJwNO4H1TEERVUavtxOPCcu68u9nhERBrSGr5yFetWXgCW\nOTxzitnbgQOJK74K9kSkfJn1xOw/lsING3dd97QvMMCgqiICq7cVaYS7MLO99oD5FXAlsS75GeCd\nuG/A7CjMfo3ZF4jG7HnxWH/dy1qxTQfqxc6OBju/Lxse5gGjzWxssccjItKQZvjKldl/AZ8Hquqh\ndjt8t5f7pcUelohIhzO7FnifQy+LYh4TcV+W0uNeJVLkdgAP4350cYdqk4Ht3lgbAbOJwCJiXd8W\n4CrcP9eKfVcCs919foGG2zZmFevh9gFwjEE98C+4317UMXUQMxsPVLj7M8Uei4hIhmb4ylc92ZYF\n9b1ADU1FpLs4luglakRVyskAqaXHoUS5+x8C7y7S+LBwFLCi0WAvTCdbVbPPJjjJzGaY2RQzG2It\ntFRIhURqzKxfAYfeagY+DL5pMA7Yo1yDPYBUKGeTmU0v9lhERDI0w1euzIYC9xBpnI8Ti//XFXdQ\nIiKdwOxK4BwidXAjMB73kmnNYGb9gRnAPG+uqqTZPsTndx+iquZ3cb/czHoQFTwHN7GlA8vTlwNz\nmmzG3glS8PNMhxQ1KVFmNgQ4iFIqnCMi3ZYCvnJn1qtkqtCJiHSGSGU8FxgD/IYSalad1njt0Vir\niCY2mAScCTwHXJ9nW4YKYGT6MiI43EJUyMzMCq4BXm824CwAM+sJTMn78XYlZiOBfyFaZ9xAg4DW\nzHoDc4B7XO0URKSIFPCJSNcVJ7bVuBc/ZTmqIr6XqK74f3TV3pbSYcxsKrDZC90YPL9jH5GZ5Uup\noEOIQLC6iU22AEtT8ZfWHOg04IPAy8AVFum088pulstsT+AxovJoPfASMLPhZ1EKvo8GFrn7xk4f\np4gICvhEpKuKyrN/BnoCP8L94g48VgVwALC20dRAs2pgMdHfEuBG3M/vsPFIl5KKpxxJ9D59q0hj\n2BPo5e4v5Xn/vsDepEbwjdgBvA6s2RnMmZ0JXJO22bYdnhsGZ2xorAF8V2f2JeBysgHzRuD9Ta1P\nNLPDgJfdfUUnjVBEZKdSKNcsItIWvyb19XL4tw1m1wx0f7LgR4mT9duAowDD7Gzcb8q9y1yYcTSM\nq4Te6aYPAwr4BDMbBEwl1nIVLa3P3d8wsyOImah87r8ZeKqpn+esI9w3UztmDVw8OBsg9qyAiT+F\nHmZmZTfDl1MYDWAHVN8E+33YbGbOz19297UA7v5gKrbTR62RRKSzKeATka5qZ5VhB/sxTPxqrJlJ\nN+1cq9Tw/1QBE6DXk7H2plk/gcmfgKMq04nsNvjfXmaZEzYDOB22HZutplhH9MCUbs7M9gUGu/s9\nxR5L8riZTXb3x9u7o7T27yVyA0iz54BppHOLSvA/QiUwvYWCohCVpFcAb3nXSIe+BrgI6A9QAU9/\nNgrsbHH3p9Ks7j5mNq7BdlPNbAxwXxkGwSJSopTSKSJdk9lJwB+Ik8tfAp/Op6AFZvsTFWz3SP+e\nSE7hilTCfhwpVetrsN9lcG1ltln0k7gf3Mh+5wBXAGuBz+D+WtsfnHR1ZjaDSHcsqdkci9fpgx0S\nVJntBTzkMKAeelbCRbj/NM9x9QZGAENpuWXUDmAlsKrVs6ZmBxKpmFuAL+P+Rqu233Vfg4CTiQqq\nf8F9h5kNJqpjr3D3F3ffxIxotzGJXWdQjXhMr3WRgFdEuhAFfCLSdUUFwF64r2/FNjcDpwIVdVBz\nN3znePhrzj02AS/tUr3Q7CvAV4DVwKm4P1qA0UsZMrMqIv13iZdgKxyL9abT3f2hDjpAr2/B6afA\n/VPcX+2YQ1gPIjgcTswg5mp4UlMPrAJWegSSy4h2FjET735gB41xJLAf8KpHpc7LiTYZZ+O+NCfV\n997MTJ+ZDQfGks1IyNhAfCbtGtyaXZj2+xZwOu6PdcRjEZGuTwGfiHQvZn8mGm5XOGy2mBm8ttjD\nkq7Pov/pJOD+Up6l6WM28xUYNSKCnjso4NrCNEN+gLsvKdQ+2yMF4MOAEefDmJ/BHyui0BNEMFiV\nV2ZAG33f7MiL4M7KOGY9sAj32WlsPYiLA/c12R7DbMiHoep62ItscGsXwejvww05j+WZjgpeRaTr\nU8AnIt2L2QTgXuIq/8PA8epVKe1lkSrc1ztz9tfsW8C/E6mA7853hsfNbqyD91RFwHcfcHKhgp5U\nGKY02zDEurpHiZm3euAe3E/u4GPOAf5GWusHrMB9ZPbHZkTbhkc8N1Mhbr+e6PO3HXgP7nfl/Hym\nw92WClc13K+ISC4FfCLS/cSJX39gfUde3ZfuwcxmEWu28kthjFTkfrSnRYPZdCJY60OkMT6G+yF5\nHnsL2XVy24FRuK9px1imAN/bDJW/hG991n1um/fV0cz6A2cRBZt+Rwc3nk/P98PAvsQM3Vdx//7u\nd7PZxPq9N9MNhwN3AP3SXZ7HfXzOBpXA7US6aCXwr7j/usMeh4h0aQr4RERE2iCl5B0BLNytqXb0\nbvxfokXHU8Taz5WYHUWsGe1BtPs4g5z0zzTj05dYozaYxqvN8is45Gz4UWW2DcKLuO+fz6CJGcGh\naX8bgGG472jdo9+5v2qiuuagevAKeAP3MW3aV7ky6wW8DViJ+6Km72aTgG3u/gJms+vg7pxWL7un\nbMZr7GCiP6iKRIlIkxTwiYiItJKZjQDGE/31dv9DavZe4Dqgn8OODXDbILh8E9zUN6rAUgdbfgOf\n+xgsztnSgc1EUKoTPYcAAA9gSURBVLauybWA2RmeI9Mt78f9L3kOfgrwU2Jm6ELcF+S1XeP7GgG8\nSnYtmQM92xxAdnOplceeVVC5Hs7uA2cThaROxH1+kYdX2uLiw9FE5sbCYg9HpJSoD5+IiEgrWKwD\nrXb3+5u52xDSjJxBdY+YrXu8L+ycCayE+nPg6XPacnLqXofZu4jgcU2rUjJjrd8RrT5m41YBC4FD\niGBvroK9dhkEVNXCtj7wE+A1YKGCvRbEBZC7iMqnlZh9D/evF3dQIqVDM3wiIiJ5SOmWhwGvuvuy\nFu48CFhEtA4w4ATcH8BsJvB3h0EG1wLndfl1pLFO7V+AWuDmQlb97C5yKrwucfeNj5odfjDMrYBq\niz5/F+J+TZGHWboiHfYhskVsNuHev5ktRLqVlpqbioiIdHuWXYf1aIvBHkD04JsEHAvsi/sD6faF\nZ8LwMXA47ud2+WAPwH0b7tfj/v+6dbBnZpiNwWxgKzebAYxy93sza0GnwmEVgMV5Wl/gzMIPuKys\nIp3TOvgWWJtahBSH2bmYvYXZK0RBHpGiUsAnItJdmJ2N2ROY3UzMKEgezGwUMB2Y6+5b8t7QfSvu\ni3FfnXvzTdBvGawt8DClmKKAys3Ac8CbmJ3S8iY2zMyOBp519yca/HiBRdsMiKqqpVv5tBS4rwQ+\nADxvsKAK3gmMM7PDU3GlzhOfF1cSad17A3/s1OOLNEIpnSIi3YHZIcADRFXH7cDtuJ9W3EGVqCiJ\nPwK40+KEzd396cLt3kYDO9x9RaH2KUVmdqjH6yUzq7QU930av6sZMAOocfcnm9nnKUSV1/nA/9BU\nAR9pkkUgPoNIq17YZBGkwh2v/yXwzivgt5XQK928EfcBHXlckZaoaIuISBkzs97A+D/B208GTx/6\nPYAJxRxXyTL7EvAfDvVbYM3b4Ji73JcW+CgDgZcKvE/pRGZWBRxAWjP2n7Dvl6CqMnuXmswdgeOJ\nKqZ/tyjeMwFY7O6bmz1IVF3Nr/KqNCoFeAssKngeamZbiSb3BZntSAHlQWTbZ2zsDTdXRuuVdxGV\ncC8txLFE2kMzfCIiZcLMhhANni3n5hrgeY8TkieBAcRJyGdw/1Xnj7LEmS0H9gBw2GhwEs1X42zD\nIWwmsKhQJ53SBhGI9cK9Jo+79iFacFSnm5xIt3xhl/6LZlcAXwDWACfjvhCzq4H3ObAOnh0JH9lW\nwNliaR0z60tU8lzb7Ky9WX/gIiKg/x9y1u2a2Z7AXunbeuDp3VK94/U1iZjdK/QFI5FWU8AnIlJK\nYr3JR4kTjetw322tV0oJG0OkHeZaA7zSTO+2QcBxRLpZkw2guzWzecBsIijeAkzC/ZXCHsJmuvqE\nFY/ZOOBeIrC/mwjqt8ePbAiwH3HRJHOCFBdN0n1a2LftLMQT79NassVEthocgPvrhXw40npmNhiY\nCKxw991n283uA2YBVfWwcj84fWl2TeWbrt+hdDEK+ERESonZrcDbiZPE16+Fg8+JWbuGFede0xqw\nDmC2F/Ar4gr+V3G/pfCHsBmugLt4zG4GTgUq6qDmbvjO8dHEHuKiycsFW+tl9hrxWjKigfoetKbw\nj3QoMxtJBPhLd6m+a7aDtOypDmrWw9Qh7s8XZ5Qi7ac1fCIipeVEsicaez0Z60Dm7pI6Jh0nTvpO\nKPYwpENV5vyn/u1xsr+gg471TuDnREr1RQr2Sou7LweWm9neFsWanveoqvsgaYavEtYNgVeLOlCR\ndtIMn4hIKTFbQqz9qATWA6N1klheNMNXZGYTiZTOQcDDwPG4by3uoKQUmNl4YNhX4ZVvwHlEZsWP\nyaf3pkgJU8AnIlJKzEYA3wT6A99EBR7KjgK+EmBWSRQwWodOhKQBM5tMfAYvcvdtxR6PSHsp4BMR\nEelECvhESl8qjjWdSLFf6O51LWwiUrK0hk9EREREJEdqm7Io9VycZVHIZbHaqUhXVFHsAYiIiIgU\njFl/zN6J2QHFHop0fe5e6+4PAk8Bh5vZpGKPSaS1NMMnIiIi5SF6TT5OrM+rwuzDuP+pyKOSMuDu\nNcA8MxtoZnOAVa5WDdJFaIZPpNzF1e6zMTsNM73nRaScnVQf1TcHAH2AS4s8Hikz7r7e3ecB681s\njpmNKfaYRFqiGT6RcmZWDTwEjAUcuBE4v6hjEhEr9gDKRSqsMRYYAXAV9Dsv22dvB/ByscYm5c3d\nVwIrzWxMmvF7Id0mUnJUpVOknJkd7DDfopcQwBbc+xZ1TCLdnJnNdPeFxR5HV5QKaEwkGplnvOru\nK3LudAnwaeBp4CyikbZIhzKz/YkLD0+6+/pij0cklwI+kTJkkbo55VgYeifcWhmpTbXAE7hPK+7o\nRLo3BXz5M7N+wASyS1DqgGfcfUvxRiXStFTUZSCwxN1rMBsNTAYWk3thQqQTKeATKRMptWkCsXbF\ngcfdfStmhwP/CawBPov7G0Ucpki3luntpT58jTOzUcBo4jMMYDPwrLvXF29UIq2T3ufTvg2TvwhX\nWlxwNWAmKvQiRaCAT6QrMTsB+BawEvgE7q+Z2VhgVLrHs+6+rmjjE5FmpRmrvdz92WKPpcPEye7h\nQH/gAdw3NXG3CmD8CBi4EeprIshb7u6vd+Jo8xeP60hi9uYfuG8r8oikxNWb/aoCzs18C3wL968W\nc0zSPaloi0hXEVe+/wj0cajbBHcMMDsbeN3dHyry6EQkPwOADcUeRIeJoOgG4GTiBHc9ZtNxX21m\nvYADyRZV8fVw+gC4BNgOnEFpp7p+h1gbWA88i9lhuNcVeUxSwirgJaCGWHO6FXi1uCOS7kozfCJd\nhdlM4C7iqjnAWtyHFHFEItJKZjYReM3dNxd7LB0iPqfuBvoC1EPt03DNwXAVccL7rLvvSPfdG3gG\n6JW2Xo378E4fc77MNpItgLUZOAz3J4o4Iil1Zj2BnwPHAn8BLtJFAikG9eQS6ToeI64ObiRONn5W\n3OGISKuYvWcD/LEersWsdAOb9umTu9jOoHISbHT3he7+xM5gL1Q22Lbh96XmdWJ2jzqoOjsb/Ik0\nzn0b7ufgvg/uFyrYk2LRDJ9IV2LWBzgRWA3ci97AIl2D2X7A40TF3B3E+/f44g6qsMxsz9Gw/0tw\ndXUUXqkm0tmangkz+2E9XFARRS0+ivtNnTjk1jEbB/wKGAx80WAhMB5Y4+7PFHVsIiLNUMAnIiLS\n0cyOA24h1vABLMN9dBFHVDAWs5UHAG+6+8uYDQA+STzWG3B/qplte78Dpt8BS+iirRbMbChRIVmB\nn4iUJAV8IiIiHc2sL/AkMJQoz34F7lcUd1DtY2YDgUnAand/ro37mEn0K+vyqW5mNoRoCq/AT0RK\nigI+ERHpfGZnAt9O330R9z8UczidIgKkk4A3cL+n2MNpKzPrDUwDNng7i5aY2Wx3f7gwIysNOYHf\nWnd/utjjERFRwCciIp3LbAZwL7GeDWALcBTui4s3KGmJmVUDM4lqm494O08gUh++Ge6+oBDjKzVm\nNphoQ7HOm0lrFRHpaOrDJyIine1QB7Ndb5sNKOArQSkwm5m+fcjd65u7fytMAsq2rYG7rwXmmdlg\nM5sDrHf3J4s9LhHpftSWQUREOo2ZDfkZ1NfHOrZcOhEuMRamE8H4End/uIDBHkAvd68p4P5Kkruv\ndfd5wDIzm2NmkwAwOwKzX2J2EWal3pJCRLowzfCJiEiHs2hLMAJY+yn3n2HWvw4ur4y+Zl/F/b4i\nD1FymNnBQH8idbPsg7LO4O7riBm/QV8w++B/wdUV0XR+CzAK+GJxRygi5UoBn4iIdIiUCjgV6Am8\n7O4P7vyh+/eqzOa6+8JijU92Z2YTiEqiT7j7hg48zn7Ayx21/1Lm7uswq/LoPQixlrWsejKKSGlR\nwCciIgVlZv2AgwEnZoi2NXFXVQ0rFrNZwA+A7cAFFoVYRgHPufuznTCCYe7+Uiccp1TNs0hrdmKG\n789FHo+IlDFV6RQRkYIws9HAaGAzMUPU7B8YM5vh7os6ZXCSZdYTWAEMdPDtsKYXTHH3Nzrh2O8B\n/mM5bBoJH8B9ZYcfs1SZTQXOBJ4BfotOyESkgyjgExGRNjMzI2bz+gGvu/trrdh2plI6i8BsD2Ap\nkWoLsY6yJ+61TW9UkOPuBzwO9HGoNbgX97d36DFFREQpnSIi0oII6oycCo1m1oNovm3Ak+6+sVjD\nk1ZbCcwn22rhtg4P9sI+pHVrFucfEzrhmCIi3Z4CPhERaVqs9forMBizHxt8GxhHrP1a0M4y/Uox\nKQZ3x+ydwLuBHcTvtzM8BKwhWkIZcGUnHVdEpFtTSqeIiDTN7EngIIA62Ho9fOAj7gUpMKGUzm7I\nbCBwEvAG7vcUezgiIt2BZvhERKQ5mXVeVELtR2BVMQcjXZz7euCGYg9DRKQ7qSj2AEREpKR9migb\nvw34B/Bg83fPj5n1BtTQW0REpIMppVNERJpn1hcYACwvVOl4MxsL1Li7ZgxFREQ6kGb4RESkee6b\ncX+zwH3ChhEFPERERKQDKeATEZFiqHD3umIPQkREpNwp4BMRkWLQegIREZFOoIBPRERERESkTCng\nExGRYrBiD0BERKQ7UMAnIiIiIiJSphTwiYhI5zKb/FuYhVnPlu8sIiIi7aE+fCIi0nnMPg18tw6o\nhBeA2bhvK/KoREREypYCPhER6Txmy4A903cbgZNxv6+IIxIRESlrSukUEZHO9DqQ6b9XBSwv4lhE\nRETKngI+ERHpTGcC84GXgU/i/nyRxyMiIlLWlNIpIiIiIiJSpjTDJyIiIiIiUqYU8ImIiIiIiJQp\nBXwiIiIiIiJlSgGfiIiIiIhImVLAJyIiIiIiUqYU8ImIiIiIiJQpBXwiIiIiIiJlSgGfiIiIiIhI\nmVLAJyIiIiIiUqYU8ImIiIiIiJQpBXwiIiIiIiJlSgGfiIiIiIhImVLAJyIiIiIiUqYU8ImIiIiI\niJQpBXwiIiIiIiJlSgGfiIiIiIhImVLAJyIiIiIiUqYU8ImIiIiIiJQpBXwiIiIiIiJlSgGfiIiI\niIhImVLAJyIiIiIiUqYU8ImIiIiIiJQpBXwiIiIiIiJlSgGfiIiIiIhImVLAJyIiIiIiUqYU8ImI\niIiIiJQpBXwiIiIiIiJlSgGfiIiIiIhImVLAJyIiIiIiUqYU8ImIiIiIiJQpBXwiIiIiIiJlSgGf\niIiIiIhImVLAJyIiIiIiUqYU8ImIiIiIiJQpBXwiIiIiIiJlSgGfiIiIiIhImVLAJyIiIiIiUqYU\n8ImIiIiIiJQpBXwiIiIiIiJl6v8Hgczm4PG9uh4AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x110ce61d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#(2)Plot the network\n",
"pos = nx.spring_layout(g,iterations=10)\n",
"degrees = dict(nx.degree(g))\n",
"plt.clf()\n",
"nx.draw_networkx(g,\n",
" pos, \n",
" node_size = [v*5+5 for v in degrees.values()],\n",
" width = 0.2, \n",
" with_labels = False)\n",
"plt.axis(\"off\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"diameter = infinity\n",
"size_biggest_comp = 0.729\n",
"transitivity = 0.0035058430717863106\n"
]
}
],
"source": [
"#(3) Calculate each of :\n",
"\n",
"# a) the diameter of the network, \n",
"# b) the fraction of nodes in the biggest component \n",
"# c) and the transitivity (clustering coefficient)\n",
"\n",
"#a) \n",
"if nx.is_connected(g):\n",
" diameter = nx.diameter(g)\n",
"else:\n",
" diameter = \"infinity\"\n",
" \n",
"#b) \n",
"biggest_comp = max(nx.connected_components(g),key=len)\n",
"\n",
"#d) \n",
"transitivity = nx.transitivity(g)\n",
"\n",
"print(\"diameter = %s\" %(diameter))\n",
"print(\"size_biggest_comp = %s\" %(len(biggest_comp)/len(g.nodes())))\n",
"print(\"transitivity = %s\" %(transitivity))"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"#(4) Calculate the degree distribution (use Counter method from collections)\n",
"degrees = dict(nx.degree(g))\n",
"deg_dis = dict(Counter(degrees.values()))\n"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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36O6buntbd2/buHHj8lcIwIomxAHAMuru2eH3g0nekeTq6VYEwNgIcQCwTKrq8VX1hOOX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\nERHiAAAARuT/B2Z798Nl29PdAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ffd7cc0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#(5) Plot the digree distribution \n",
"plt.clf()\n",
"\n",
"plt.subplot(1,2,1)\n",
"plt.title(\"Linear scale\")\n",
"plt.scatter(list(deg_dis.keys()),list(deg_dis.values()))\n",
"\n",
"plt.subplot(1,2,2)\n",
"plt.title(\"Log-log scale\")\n",
"plt.scatter(np.log(list(deg_dis.keys())),np.log(list(deg_dis.values())))\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Not sure whether this is a powelaw or lognormal\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Calculating best minimal value for power law fit\n",
"/Users/obha/anaconda/lib/python3.6/site-packages/powerlaw.py:700: RuntimeWarning: invalid value encountered in true_divide\n",
" (Theoretical_CDF * (1 - Theoretical_CDF))\n",
"/Users/obha/anaconda/lib/python3.6/site-packages/powerlaw.py:1560: RuntimeWarning: invalid value encountered in true_divide\n",
" return likelihoods/norm\n",
"/Users/obha/anaconda/lib/python3.6/site-packages/powerlaw.py:700: RuntimeWarning: divide by zero encountered in true_divide\n",
" (Theoretical_CDF * (1 - Theoretical_CDF))\n"
]
}
],
"source": [
"#(6) Is it a powerlaw?\n",
"sorted_degrees= sorted(list(degrees.values()))\n",
"#sorted_degrees = nx.utils.powerlaw_sequence(1000)\n",
"results = pl.Fit(sorted_degrees, discrete=True)\n",
"\n",
"r,p = results.distribution_compare(\"power_law\",\"exponential\")\n",
"\n",
"if (r>0) and (p < 0.05):\n",
" r,p = results.distribution_compare(\"power_law\", \"lognormal\")\n",
" if (p<0.05):\n",
" if(r>0):\n",
" print(\"This is power_law\")\n",
" else:\n",
" print(\"This is lognormal\")\n",
" else:\n",
" print(\"Not sure whether this is a powelaw or lognormal\")\n",
"else:\n",
" print(\"This not a powerlaw\")\n",
" "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
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