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Created March 9, 2014 04:46
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Basic network analysis of Les Misérables
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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We are applying basic network analysis techniques to the network of Les Mis\u00e9rables. Let's import networkx and other libraries.\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import networkx as nx\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"%matplotlib inline"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 102
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Read the edgelist and display the basic statistics. "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"G = nx.read_edgelist('lesmis.tsv')\n",
"print nx.info(G)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Name: \n",
"Type: Graph\n",
"Number of nodes: 77\n",
"Number of edges: 255\n",
"Average degree: 6.6234\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"nx.draw(G) # networkx does not very good visualizations but sometimes helpful to see."
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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zYsQIJk6ceMNnQfMP4q8eNNZo/ls4fPiwBAQEeL+3aNFCGjdu7P0eEBAg8fHx\nUr16de+6QYMGeSdgFxEpVqyY7Nq1S0REFixYIOXLlxd/f39p27atnD9/XkREhgwZIg6rVdwgx1Hh\nRfGm884nXAr9+QYVrhIMMhgVF+xnegwX8/MTq2GIDeXFXN10CioYjvM9SFXTI9rlconNZpP58+eL\ny+WSqKgoiY6OFqvpFOaPCu9xgCwCqZLvtIQKsQkt4GD0olmHPyqUCpDy5cuL3W6XoKAgqVWrlkRF\nRQko7+r8/b4y2+kP0gk1H7CAzOLK2OJcELthyODBg0VECoUDlS1bVmIcDm+crUFhj+mCzmWXO3ad\nAQm+SpxtwfjiYF9f6eDvL486HDLA6ZQ2AQES7HDIQ127yk8//fTnP3ia/wm02Go0f0NaNmwoH1xF\nDG5m6WK3S4DVWihzVBTIvmuUXw4S4nCIy+VSdbdsKYsXL5bnnntOittsIqYAHgFpaXrurgapYa5/\nFhV+lH+8u1Eey/6oCekBsdls4uvrK4Yp7CtWrFDrQZJQ4UqRID+gPK97gvS9jtgKSH2Q6JIlvW3O\nDwdasmSJWK1Wec1i8YrtkQL7nUV5UL9+2fHyQDo6nTLwoYcK3Qu32y3t771XKvn5yVuGIcnXEOlx\nFouUdrnksYcfltzc3P/4M6P5e2OIiFy1y6vR/A8jIuzevZuTJ0+SlZVFcHAw1atXL+To9Feyfv16\nOt1zD+vd7kJetDdiESr3cQBqWsC2KNPuZODwdfabhXIMOnnqFCtXrmTNmjUkJSWx95tvOJSRQQBq\nwvfVwBco5yIbMB34CGXWTUeZY8OBUigzrQ/K7FytWjWOHj2K2+3G39+f6Ohotm3bRigq1/NSlMPX\nm2Z7EoBaqKkG41Fe1+sua3Mf4GOHg4NHjlCpUiUuXrzoHS+/44472LdjB6+mp9Pf9KTONxVnme3f\nbl4nUM5lj/r6srdqVVZv3OidPjArK4t77rqLqJ07+SAjA9/rXn3lNd3e5SLynnuYs2jRFZ7Mmn8w\nf7HYazT/UVJTU2XG9OlSs1w5ifbzk7uDgqRlUJDUN+M/+3XvXij+849y+PBhMQxD2rZte8W2+++/\nXwzDkPj4eKlWrZqIiPTs2VMmTpwoIiLvvvOORLtcsuuyXtQ6s7dmMxeH2cubDBJgtcpwlIm5mrmt\nNnhTKF4vhtgA+Vfz5nLx4kVxOBxit9vFaRhyzOylJpg9uCCQ8qjYVV+zPT4oc/UyVLatauY+Vczj\nulwuqV3tjpqGAAAgAElEQVS7tvj4+EhcXJw89NBDAsr8vBPkEbMX7Ciw2EEyr9Oz7Qzi5+srW7Zs\nEYvFIg6Hw7v4+vrK6NGjpXxkpICKC87fLwWkIchzZm92JUgjl0v+1aCBJCcnF7pHvbt0kfZOpzeb\n2M0sbpD6Lpe8/Nxzf9pzpPnvR4ut5h/DF198IcX8/aWdn5+shit+QE+DjLVapbTLdUVmo/8vhw8f\nFl9fXwkNDfUm/BdRaQlDQ0PF4XAUEttevXrJ66+/7i03e9YsKeZ0ylN2u/xWQGzzEzJ4QNaCVLHZ\nxGaxiL/dflUz542Ww6Zwu2w2ueOOO8Rms0l4eLi0bNpUnrPZJIBL454NUCbk9gXEthQq81IvkCe5\nNPYa5eMjAQEBEhISIqGhoVKqVCkpU6aM+Pj4FBLbF0FGFmhPFsjPXDIjN0JlpioP4gS5BTUuHOTj\nI88//7yEhobKzz//LOfOnROPxyO7d++W5ORkuXDhghiGIZHBwXJHQIC8DjIbpCMqa1R5Pz+5LTZW\nZs6cKdnZ2d575u/vL4cOHZJQh0PS/h/X8yhIiNNZ6J7nv3jZbDax2Wzi4+Mjt912m3z55Zc39SxF\nR0fLN99884efSc1fg7ZxaP4RfDR/Pg+1b8+ytDQ+TU+nOVfGvUUAz+blcdDtJui772harx5paWk3\ndfzMzEwSExPJy8u7Ypvdbqdhw4Z8/vnn3nUrV67krrvuwma7MiBAzJGdI0eOMHfePDIsFj4MDaWW\n08k9AQG8Y7FwBhhss3Grvz/9IyNpOWQIhsVCD4uFQJTnbiTKTNoclegCLk2vdzsQDPRFmVU/RsXL\nunNzcTqdPP3003Tq1IkJb77J2xYLJVGxvM1QcaslgSXmvj+iQn+WAJ+jzMq9UGblUzk5OJ1OLl68\nyIULF6hduzaZmZlYrVYCrVYMlHm3A8qjeh8qbGko8GqBa7IfZer+wPxcE+VVbPX1JTExERGhbdu2\nxMbG4nQ6qV69Ou3atWPEiBEAPPn889z3zDNs79KFL1u35lD16mRXrsy8r7/m5/376du37xUTx894\n6y16ejxXeIHfDKWBxhYL8z788IptOTk55OTkcObMGXr37s3999/PL7/8csNjXj7doOa/Cy22mv95\nNm7cyOC+fVmdkUH9myjvA3yQmUnVgwfp0qaNV/wu5+DBgzz52GMUDwgg0M+PmBIl8LHbqVmuHNPf\neafQROQdOnTgk08+8X6/WnxuPoZhICK0adOGLl26cO7cOZ4fNYriJUvSe+ZMQvr1I8XXl4udO/P6\np5/y64ED5OblUSwkhLuzstgFTEOJ4BlU/O2kAsdfCMxDjeHuN7cNR8WeNgfuatDAO5dslSpVyLbZ\nCPPx4QRQETUn7fuoOX59gadQSScigKqoOWIXmXV16dKFs2fPcvToUY4dO8aaNWto164dJ0+eRHx8\nyL9CVVEvCPehXhJOokJ1QCWmOGW2tylQBSW0FZ1OIkqVYvLkyfTv35/z5897s0u9+eabPPnkk6xb\ntw4R4dtvv+Xzzz9nwZIlLFq5kkPHj7Nrzx4ee+wxAgMDCQ4OZvDgwezevZtq1aqRnp7O+EmTeCQ7\nmyPmdQlEJcXYbrYrFxVbHIIaA37jsvVr0tN5bNAg3ngjf0thgoODeeyxx/j3v//tjcvNy8tjxIgR\n14xLvhZz5syhQoUKhIaG0rNnT5KTk2+8k+Y/y1/ar9b8Y8jNzZWxY8dK+fLlxel0yi233CKjR4+W\n7OxsGTVqlAwaNKjI6m5Uq1ahvLg3u2SDVPLzu8J0d/LkSWnZsKEUdzjkXqtVmpjm3Hzz7hqQ+/38\nJMTplMGPPCL+/v7So0cPcTqdkpGRIZmZmRIWFiZJSUnefMoFzcgTJ06U77//vlAIkYhI2bJlZfv2\n7d6E+3a7XRwOh1gsFrHZbFKtXDlZZY5JHjTbvx8VXtPbPKeeqNmN8s9xvmkWzt/WCuTxgQNl1KhR\n8thjj4mIMl9GR0VJnN0uLpT3sZgm44nm51Egj5mfS4KE+/jIFNMcHhsbKxs2bJBx48Z5jyki8tyz\nz4rPTdyHt1Gz9RRctxWkZEiI5OTkyLx586Rq1apy5MiRa+Z4zqdx48aycOFCOXTokBiGIXXr1pXn\nnntOmjdvLhaLRSpUqCC+vr4CSITFInmmSfw91FjsNNOEnW/eboYaVz6Iyl29u8B6NyrHclhYmOzZ\ns8drRr6cOXPmSOnSpUVETQzRsmVLSUxMlJ07d0rp0qVlw4YNIiISExPjzdFckI0bN0pUVJRs375d\nEhMTpVevXtKzZ8/f8y+i+Q+ge7aa/wgDBw5k1qxZfPDBByQlJbF8+XK+/PJLnnjiiSI1je3evZt9\ne/ZckerwZrADA91u3imQnODgwYPUr1mTuE2bOJqZSae8PPwonBShGbAkPZ1tGRlsio8nMyODDz74\ngCZNmvDFF1+wevXqK1I8Xs7Ro0fZvXu3N/+v0+nkxIkT3sQKYWFhjBkzhoyMDHJzc1m2bBl7EhL4\nDWXaHQpUAAajeob5GKiMSvmU5lKOYAPIAVyBgcAlc/bKlSup37Ah2w2DbMNgP3C8wD4Agup9dne5\nOGUYDHr2WQY/8QQADoeD3NxcEhISmD59uvd8Jk6aRDbw1fVvA4mo3m4+2cAjhkF6Tg7du3dnzJgx\ndO/endKlSxMeHs6oUaNYvHjxNY4GNpuNsmXLAjB37lxGjx7Nl19+ic1mY926dezZswen00kJp5Mf\nzH36oFJUDkD1XHeY534I+A7lfX0IuKXA+g1AoN3ODz/8QGzstX3KIyIiOHfuHADvv/8+o0ePJjg4\nmKpVq9KnTx+WLFly3esze/ZsBgwYQPXq1QkODmbs2LE33Efzn0eLrabI2bdvHzNnzmT+/Pk0bNgQ\nHx8fKlasyJw5c/j111/Jycnh7Nmz3H333bhcLho0aMD58+cBOHDgAA0aNMDPz4/o6GjeeustQI1n\n+vv7M3bsWIKDg6lSpQqff/45NWvWJCQkhCfMH/rXXn6ZxIwM3kCZ+ypxKYQkHmWW7IjKKHQfatyw\npLnMA3qIsPqrr3jmmWeIiIigQoUKOM+do19uLttQY55foCYnMFDjngNQWY8aA09mZiJ5eVStVAl/\nf38++eQTZs+eTUJCAoGBgbjdbo4dO6baEx/PV18p6YmIiKBs2bI0a9bMm9Jxy5Yt3HXXXYDKuZyS\nkgIos/O9995LWEgI6w2Dyag8xYdROYbz8wGDEsUTBb4fpbD4nrHbKRMT430BSk1N5eDBgyxYsIDM\nrCy69+zJEsOghtPJCrud9xwO/hUUxNt2O2tcLmq//DKlSpfmvtatr3gOrpai8p133uEBl4vvr/P8\nhAHnzc9ZQA+Hg/CmTfnhl18IDQ3l2LFjTJ06lfDwcO6//36WL1/OyZMnrzp+7jEnKfAe+yqTCuSP\njeZYLCQAu1FCm7+cQL3A9AQeQ+Vyzk8zmXXZ+sTsbEaOHElWVtY1z+/cuXPefNoJCQnceeed3heS\ncePGcebMmetcHTh27FghMS9WrBhpaWnXTTGp+c+jxVZT5Hz99deULl2auLi4QuvLlSvHhg0bsNls\nLFu2jFGjRnHu3DlcLhczZswAYOTIkbRo0YLk5GQ++eQTnnjiCe9YqNvtJi0tjdOnT1OuXDk6duxI\nmzZtePHFF3nvvff45Zdf2LJhA9moWM9zwBhUbt98t6dvUGOVJ1A/qpOArSgh7o6azaam1crMmTNp\n2bQp/a1Waprl6qLGLu8DlqNmv9mNSg94wdx/KuoH+qQpritXruSzzz7j4Ycf5syZM9jtdu8LRD6G\nYVCvXj2SkpI4e/YsWVlZzJkzh9atW3sdqqxWq/c65OTksGLFCtLcbtb7+pKD6n3lAJuBuSgRyGcR\nSohPARNQsbiY5fd4PHTq1MnbqzUMg+7du/P111+Tk5PDjz/+SInISBLOnKHev/5F5ZYtefyjj2jf\nuzfde/fm8WHDrhpbmp+icsGCBezbt4+0tDSGDh3K2rVrefiJJ2huGIyzWLyiWpCGqJ7iu8Ddfn7k\nNmnCR8uWceHCBT788ENuvfVW3njjDbZu3UqnTp3Ytm0bbrebsLAwduzYweLFi9m0aRPZ2dk3FK6C\n7T2RnU0Q6mUlo8CyBbjLvN/tUGkyD5ptjAe+N9d/Brjsdo4ePUp8fPw161q9ejV33303oF5Idu7c\n6X0h+e23326YZzk8PNz7wgbqBTUsLMwbK6z5e6DFVlPkJCYmEhkZed0y9913H40aNcLPz49mzZpx\n5MgRAEaPHs1TTz1FcnIy6enpGIZBYmKid7969erR+b77WLtqFSE5OZyeNIlfRo5E0tO5u0EDTp47\nhwE8h0rC0AHVw91i7n8bqlcajHK86YnqpeQ7UmUCpUQYNGgQn336Kd1yc7GhTJugeooF3adswDCU\n41BLlIgbQOXcXH7ZvJkKFSrgcDgYOnQoTqcTHx8fPB7PFT0fX19fHnvsMfbv309oaChTp05l6dKl\n2Gw2DMPg9OnTTJ06FbvdTkhICC+99BJLly4lMiaG6qgeazDq5WIa6mVghdmWxuY5VwbuROUgBvBY\nLOShetj5vTt/f39mzJhB//79CQoKYt++fSxcuJCAgAB69uzJl19+yd69e4mKirphAoeqVasyduxY\n7rvvPiIjIzl58iTDhg1jxowZvDd/Pvs7dCDW4eBBp5MFqF75p8AKw8DPZmOw3U7DQYOY/fHHbNu2\njR49ejBq1Cg6d+7M+PHjAWjSpAnJycmMHz+eAwcOUL16dfbt28egQYMIDg72tn/dunXXbKfNZiM3\nN5e6depwFOWstRL1wjLHvHZWlEVjCCqRhWFuL15g/RTA6vGQlJRE8eLFr6gnLS2N6dOns2jRIp58\n8kkAOnXqxCuvvEJ6ejr79u2jcePG7Ny507vP2bNnOX78uHdJSkqiQ4cOTJs2jb1795KYmMioUaN4\n8MHLM05r/nL+6kFjzf8+77zzjsTGxl5128KFC2XYsGEycOBA77oJEyZIr169RERk9uzZUq5cOald\nu7b069dPfH19JSEhQbZu3SpWi0Vq+PvLu2YMZq8CDjR1QKabzkEGKhdu/rZmpmNQPCoRQ/76VlzK\nQZxq6ugMVDxnyZIlxWUYcjsq/3BvVJxuU9Tk5tEg7UBc5v4XUYkTDFQO3pIgNotF3n33XbFarWKx\nWATwOjqtXr1a4uPjpVWrVt7r8P777xf6XpBFixZJ+/btr1g/d+5cudXPT1Kv4WzUiyvTFAoqnWEJ\nl+u6CT0eeeQRr+PRn0FaWppUrVpVpk+f7l13/vx5mTh+vHS65x5pUbeutGnUSB7p1UvWrl0rffr0\nkfDwcLHZbBIRESFDhw4Vj8cjubm58tRTT0lERIQEBwfLwIEDJS8vT0RUbGuNGjUEkNjYWLntttuk\nXbt2Uq9ePQEkKChIRowYIStXrpSAgABJSEiQvLw8uf3228Xf31/qBATIryB1zXtbh0vxvxfNex4E\nUhxkiLn+LVROaMPcp1ypUt62FIyz9fX1lTp16sjXX3/tPX+32y39+vWTkJAQiYyMlPHjx3u3xcTE\niGEYhZZ+/fqJiPqfKVWqlPj7+0vXrl3/lBhxzZ+LFlvN7yYjI0MSExNvOv/rrl27xGKxyI4dOwqt\n//777yUgIEBGjhxZyBt5woQJ0rt3b0lPTxcfHx/Zv3+/iKgfIrvdLtu3b5dKZcqIHZWQXkyv2MvF\n9nMuZUa6xRRkAamIyrAUbwpsQbGdfRWxtZrLEpTHcXFTbONBSpuCexQ1KYCfuf+DqGT60aisSoCU\ntlpl+PDh4nK55L333hO32y3Tpk2TMmXKSEZGhsyePVtatmzpvQ6vvPLKNcV21apV0rx58yvWezwe\neahbN2nhcl01GUMvLnkQ5y/HQCq5XDJl0qRr3sOLFy9KcHCwnDp16qbu+Y3weDzStWtX6dWrl3g8\nnmuWu3Dhgrw+YYLElighNQMCpI/LJUN9fKSPyyXV/P2lYsmS8sbkyZKYmHjNYxw+fFisVqu4XC7Z\nu3evd/306dOlXr168vzzz0ujRo3Ez89P6tSpI0888YR89tlncubMGSkfGSkfXePF5VrLLJDKqAkj\n0kBCHQ45cuTIn3LdNP+9aDOy5qbYu3cvQx55hDB/f4L8/YmOiMDHbieuUiVmzZqF2+2+5r5VqlTh\ngQceoHPnzmzZsoWMjAw2b97sNQNenkwAQNSLICKC2+0mJSWFZ555Bo/HQ/8HH6TeqVP4osx5QCFT\n7tVoA8xAzZOajDITX22fy9edQTk9BbhclECNySahTIbzzOO6Ud6onQocYyHQD2VebI2KQXV5PKSm\nppKTk+M1u/r5+XHixAn27NlDqVKl2LlzJ1lZWbjdbhYsWHDN8wkICPA6SBXEMAymx8dTsk0bGrpc\nfHWVc8r3IM4223mHy0XvkSMZ/Pjj16zv/fffp1WrVpQoUeKaZX4PU6dOZc+ePUybNu2a3ujr16+n\nckwMv44axZzTp/k1NZX33G4mZ2fzntvN9rQ03jtxgi0jR1I5JobNmzdfsz6n08nDDz/MoEGDvOt8\nfX0pVqwYzz77LJGRkVitVg4cOMB3333HW2+9RWxsLEfOnqUHUMJcCkbM/oQatw8CmgB7zfWbUGPi\n8ahrHZmdTeXKlSlfvjwff/zxpf1/+om6desSFBREkyZN2LtXHSE+Pp42bdrQrVs3/P39qV27NocO\nHfpd11fzN+QvFnvN35yEhARpVq+eRDidMtJmkyPgnbosB5VztpW/v4T5+cmro0cX6qUUjK11OBwS\nFhYmYWFh4nA4pGLFivL222+LiMiLL75YKP5y4sSJ0rt3bxEReeONNyQkJETKlCkjt9xyi9SsWVMc\nFov8xqWp4vJ7tr0LfC/Ys/VHpRB0otILbjLLxIO0LrBPC1Q8pZg9WVC5fe02m7h8fMRi9pCjzbpL\ngXwMUsI0J443e7anULl9fwQpax6vHEhFw5Bu3bqJxWIRwzC8ZmSbzSarV68Wj8cjjz76qMTGxkr9\n+vXliSeekNatW1/1vuzcuVOqVKlyzfvm8Xjk/ffek+oxMVLBz08moqaw2wyyCuQ5m01KOJ3SuHZt\n+eKLL677DOTm5kp0dLT88MMPN/3cXI/169dLeHi4/Pbbb9cs89VXX0lxl0tW32Rv8nOQYi6XfPfd\nd1ccKz/9YkpKikRFRcnChQtFRGTWrFnSqlUrefvtt+Wee+6R9PR0OXXqlFSoUEGWL18uOTk5EhIS\nIoGGIcVQ8cnFzOcnBSQcNeVhfvxtebNMKCq9pIA8aj5jNcuWlfXr10toaKgcPXpUUlJSJDw8XD75\n5BOvhaNChQqSnZ0ts2bNEovFIosXL5aMjAyvBUDz340WW8012blzp5QMCZFXrVbJusGP3W8gdVwu\n6dOtm3e8rH///hIbGyvffvutZGVlyd69e+XOO+/8fyewaNy4sdxZu7a8aRg3bdLLF1sxXxKqoEzB\nVyvbFGSh+TmPS4n+AQkxDKkBMpRLeYkbQyET4wxzXQrKdJ1SYFsDkDt9fGTYsGFy5513FjqvX3/9\nVTIyMn7XtUhISJBS5ljg9fB4PLJ+/Xq5vVo1qRgRIXEVKkizOnVk8MMPe+fVvRGffvqp1KtX73e1\n71qcPHlSSpYseV2BP3jwoBT395dvbvIe5y+rQMLNcdeC5IutiPIRKFWqlKSlpXnF9uTJk3LmzBlJ\nS0uTrVu3SvXq1WX27NkiIhIWFib/8vWV3SAdUBMu1EJNYlAPNcfvlyjfAIsprJO4NDzhyn/pKl5c\nRER69+4tb775psyfP1+aNm1aqJ233HKL/PTTTzJr1iypX7++d/2HH34ozZo1+1Ouv+avQ5uRNVfl\nxIkT3NuoEeMSE3k6Lw+fG5QvB3zjdrPvs8945vHHrxtbu3XrVnJzc5kwYQIxMTFERETw+OOPk52d\nDajYzu7duxMSEsItt9zCihUrAMjOzuanrVuZKoIfKtFAPltRIRoBQAuUNy4os1+muS4I5S2cbwo8\nB9xr7hOJMg8vRnkQW1EqG40yBQZarZxChQrl13cElRO4ISrc402zbABQBxhn1r0IZVrcJkLfvn05\nefIkK1euvGpIz80SGBhYKB3ktTAMgwYNGnBLzZqMeO01fti3jzU//siUGTOoUqXKTdX15ptvMmTI\nkBuWS0hIoF27dhQrVoywsDBat27Nnj17vNtzcnLo3Lkz/fr14957773mcd547TX6ZWbS6Brbv0HF\nBvdDhSs1QIVXtQDOpqYy4ZVXrnns/LCm1q1be83XJ0+e5J577qFOnTqMGTOG3NzcQvs4DIPKqPs4\nFHWP5wB7UGFkY1HTAdZBxViHmvudRYUKNQCOnDuH0+lk/vz5nDlzhmPHjlG+fPlC9RQvXpyzZ89i\nGIY3/heUufvyNmn+C/mr1V7z/+OPTN12LR544AFvmreenTrJM1arCMgdIM/fZO/iAkik0ynPPvus\nREdHi4hK97dt27ZCdV0vxV6/fv2kSZMm0qpVK1mzZo0EBwdLdna2VK9eXfwsFjmMcuopAbIR5cxU\nCmXSTkelE2xmtmeI2TPdYm5rWaCn+yRIH9QMM/tBgkFuR5maAfk3yAcgFVDOT4C0Balq1rcCZDDK\nZOwCmYByihHzeHehTNdNUQ4zNStWFBHVk61bt664XC6pU6eO/Pzzz7/7/ufk5IjFYrmuc1FBateu\nLZs3b/7d9Wzbtk2ioqK8M+Jcj3r16skrr7zidaAbM2aMlCpVymvpePzxx6Vly5be71cjNTVVQpxO\nOXqdZ+xFkB5cslz4mPdQTItCqJ+fuN1u7zEL9mxFRA4cOCABAQEyfPhwadWqldx5553y7rvverc3\naNDA27MNDw+XWk6nt+5+Zv2zzGcpf30eygN5l7mtFcp5zxdkNcjtlSqJiMhvv/0mZ86ckVmzZhVy\nhsvLy5OIiAjZtWuXt8edz6JFi6Rx48Y3vP6avzdabP9L+aNTt12Nzz//XEJDQ+Xs2bMS5Osr51Dj\nj1aQvb/DnPeS1Spxt93mNT3GxMRcIbYtWrSQuXPner9v3LjR21aXyyUnT570bluwYIEkJSVJlSpV\n5DZfX28994J8CLKAwmOvWab4JaJy9nYssO1LUzQf9fWV5Sgv4nOoOU0DQSqhxmQN88Uh/4dTzB/T\nbtepL6nAuj0FBCAHxM9ikZdffvmP3fTLcLlcNxXikZeXJ35+ftf12L0Wffv2ldGjR9+wXGZmplgs\nFklJSSm0vnv37nLixAkZPny42O12CQgIkE6dOnnN5u+9955ER0eLy+WS+vXrywvPPy/t/PxkFMig\nAtcz//sclLnWYr4o2cx7ZS8gtnf7+cns2bNlzJgxUqJECXG5XGK1WuX48eMiol48W7Ro4c2BXKZM\nGXE4HHLq1CmZOHGiWCwW8fX1lbp160qJEiXEZrHIPtQLWzDIL6jpGINRY8XpqPH6WlzyRs5/ZjqB\n3GqzycujRskPP/wgERERsmPHDjl9+rQEBwfL559/Lunp6TJ+/HipVauWiIgW2/9RtBn5v5g/MnVb\n8+bNCQwMpF69emzfruYxad68OYZhMPLZZ2ljsVAMlVSgBmq2F7j+1G2vm5/75uXx89atHDhwwFv3\nkiVLiIqKIioqigcffJADBw4QGxvr9chs0aIF+/btY9OmTeTl5bFq1Spamyn/qlatSrNmzdi7dy/7\nsrPZYR7TisqUdBSVdCA/nV6Quf4MV+YCLpb/d9gwHg4OJhqViKANysO4F/DbNa53DGoKua+uU18+\nDwOTUWbEe2w2siwWHnvssWsc+f/HtTySL+fEiRMEBAQQHBz8u45/4cIFPvnkEx5++OEblvX19aV6\n9ercf//9LFiwgBMn1JMxd+5cdu3axYQJE5gzZw6nTp0iNTWVKVOmkJKSwpAhQ/jiiy9ISkrijjvu\nYE58PC3S07ncPzl/Kr4ewAuo1IjvoTI3+aE8q/O5Oz2d1StWMG3aNH788Ud++uknDMNg0iQ195Fh\nGDRt2pQyZcoA6vmKiIigcuXKjBs3js6dO2Oz2ejYsSPnz5+nauXK1EZlhZqISoQSgZqWcDgqneRS\nlHd6wbYCvALs8niYMGkSXbp0YcKECVSrVo2IiAg+/vhjhg8fTlhYGEuXLmXevHne9hX00NZT6/1v\noMX2v5w/MnXbmTNn6NmzJx06dACUeHfo0IHlS5bwYEaGOh7Q1dz/elO3FfyBiQKKWa1cvHiRnTt3\nIiKsX7+eHTt28Nprr/Hhhx8SEBDA/v37ue+++xg+fDhz5swhKiqKXr16kZeXh9vt9v7AtGrVip49\ne1KzZk3sVit9gTzgAOrH7nmU6I0EUoCnUSkIK8AVuYC3AHarlRfHjMFwuejWpQsDfHzI5lLmKCuF\n2YYa53Wax1+ICvkomMIvHviXWb6veZwlqJeS9cBHH330u8XuRgQGBt6U2O7du5dKlSr97uPPnDmT\ndu3aER4eflPlV61aRVxcHBMmTCA6OpoKFSrw+uuv061bNxo2bEiXLl3w8/NjypQpxMXF4evryw8/\n/EDFihU5fvw4FosFd3o6wXDdsCy57PPlBAKezEy+++47IiIisNlsdO7cuVDmMZvNxv79+zEMg6lT\np3LkyBFWrlxJVFQU8+fPJy0tjWHDhgHwQM+eBDid7KSwn0BzYCfq/m9A5d0GlYVsmfl5rsVCxzZt\nSElJ4bfffqNHjx6X9m/e3JuaccOGDd571LNnT5YtW+Yt1759e9auXXuDq6/5u6PF9r+c1q1b8/XX\nX5OZmUlWVharV6+mTZs2Vy0rImzZohIV9unTB6fTyYABA8jNzWXHDtVf7Nq1K+eSkiiFSkm4nkti\nWwY1w0kESsAKpi38P/auPD6m630/d2aSzJp1MllkQ0JiS2KP2BJLLUHsak3RSlvVWEtbgiLV2qmi\nKbEVRSm1NPafUkspioaWELvYQiKyzDy/P+5kzEhCokrb7zyfz/0kdz3nnnvnPue8533fB7D88DmQ\n8AlPoI0AACAASURBVPb2RteuXZGbm4uRI0fijz/+wPjx4xEWFgZ3d3eMGzcOAQEBCA8Px9SpU00f\ntwYNGmDjxo3Iz8/HkiVLcPPmTRw6dAg2NjaQq9UYB3Fkcwnix+8cRCJcDVHlZi+APXhM/tsA/ArR\nAWo8AEEiga+vL+7evYsN332HN3Nz8RnEXMFFpW4PhugYU4BlEHMOB0HM1zsO4oi/AKMBCDIZUgBE\nhIVB4+CAgICAIp/JX0FJnaRSUlIQFBRUqmvn5+fjiy++KNVoXKfTISEhAUePHsW9e/cwduxYjBo1\nCra2thYOUQEBAYiMjARJJCQkoFy5cujfvz/Onj0LiVRa5DMwFLGtOOQAsFEoEBcXhwoVKmDQoEEm\ntaSi4OTkBEB08HpSaSk/Px8qlQrd+/VDtFKJrFLUYxWARAcHJMycWYqzrPivwkq2/3LY29sjLCzs\nhUm3FajK/Aqxd14bYsIG4OnSbU9CAFCjRg307NkT6enpaNOmDWJiYjB48GC0bt0aZcuWhbe3N44e\nPYqgoCCEhobi3XffhaurK9566y1cu3YN27Ztw8yZM7FmzRrI5XIcO3YMWXl5+MDGBl9B9AANNNZv\nBUSiXADRtFgLQCREEpRC9Fz1gqgeI7OxwZUrV6DX65GVm4vXICYk0EE0FdpD7DgcNd7HMTw2kQNi\nEvotxvsfAGAsgKsyGa4KAgI1GlSQSrG/Vi2Et2yJamFh8PDwQEhICGrUqGEy2SclJZnM5EWtlwQl\nNSM/z8h2/fr18PPzQ/Xq1Ut0/NatW1GvXj3TulqtxpUrV6BWq5GXl2dBdvv378eKFSuwdOlSpKWl\nITU1FTt27EBUVBRs5XKkyGSQwJJgrwOFTMvF4Q8bG6RevQpHR0ekpqZiy5YtqFu37jPPc3d3R926\ndU0iANnZ2fD09ERoaCg+mzkT5du0QaRKhYvPuE4egBkSCQY7OmLTrl0mc7UV/9uwku1/AAWm5KeZ\nkAvg5uZW6IPypHSb1sEB6yHO175udu50iMntU1FYuu3Jj+M9ACqVCqNGjYKXlxeSk5ORkpKCd955\nBxcuXEDZsmURExODiIgI3L1716R8c+7cOVSrVg1xcXFo0aIFDh8+jMzMTCxYsAA5OTlY9e23OJGX\nBx3EEWxBuvVIAGcgmpffALADQDxEM7MKQHsAPQDo3NwwfPhwrFu3DmqVCnIAF43XuQ5xju228byJ\nEE2CTSF+6HeZ3Z8tRBNxAoDKfn54AEDt5ITvDhxAl9dfR3SnTpg1axZmzpyJvn37msQUnvV8SoPS\njGxLS7YzZ84sUbhPAerXr49r165h8uTJSE9Px6ZNmzBp0iRIJBJs27YNK1euxOnTp5Geno64uDjk\n5ORAr9fDYDDg0aNH+P333zF79my4aLVYbGMDDwBHIHZ60iEKKZQUqyUSVKpcGXl5ecjLy8OBAwew\ndOlSk9hDge/Ck6hTp06hsCyJRIJatWpBIpFg4YoViB4+HNWVSkSrVEiG5Tt/FcA4qRR+CgXWhYTg\npyNHEBwcXIqaW/FfhpVs/wOIjo7G1q1bsWnTJkRHRxd5DEmTdNuz4jxbRUVhE0RyMRdd10PstRcl\n3eYFcS4XEEeEN/V6UxwhSXz22We4f/8+jhw5gnXr1qFr165o2bIl9u/fj82bN+Phw4eYOnUqtFot\nqlSpgv79+2PTpk1QKBTo1asXPv74Y+Tm5kIul0MikSAdIrkWh9YAGkEUgPeGOEpfD+DGzZsIDQ1F\nfHw8FBIJyuCxeHnBsTYQUyxeLnxZ8X4gOsO8C6AqAB8PD0ybNg0ZGRlITEyERCIBSdy6dQuOjo44\nf/48EhISULVqVVy/ft00uv2r+LtGtkePHjXFzJYUarUaycnJ2L9/PwIDA9GmTRv4+vpiyZIlCA4O\nxqRJk9CyZUsEBgYiPDwcMTEx6NWrF9RqNVxdXTFgwABMmzYNV65cgYOrK+QQpy0qQlRqMp8YMfcP\nAAqPeGtUr474+HikpaXB0dEREyZMwNy5c7Fx40b88MMPhZyPCiCXy/Hdd99h3LhxhZSWCo4dFR+P\ntJs3ETV9Okb6+8NWEOBiZweVTIZAOzvc6N0bWw8exJ4jR1CuXLkSt58V/wN4ZX7QVvwlpKamUqPR\nmNabN29uER6g0WiYlJTEqlWrkrQM/XlWnOeFCxcoEQQ2fyKk5yrAMGOYS2uIcaYa49/bEONJA42L\nj6enqTw/Pz+OHz+eWq2W7u7uXLhwoams5ORkVq5cmXK5nOHh4dy+fTvVajWTkpLYpk0b6vV6Dho0\niFKp1JTm0U4qpYsxFGclwFyzOq4COBTgu8b1oRDjcR0Arn/sW0NbW1vKpFLKAC6AKEyggph+jxCz\n/vgZ/4/BY6UcAeAtiGFH30BM19ixWTOmpKTQx8eH7dq1o4uLC0eOHMlVq1ZRKpUSAO3s7CiXyykI\nAgcMGFAqhZ/i8Pbbb5tSXhaHjIwMKpXKp8a2PomYmBgmJCSUqi4FePToEevUqfPc55Pkd999xyCl\nkhlPvH/PWu4ADFCpnpl+8kUiJyeHN2/e5P3790sc82zF/yasZGtFkWgbGclZpfzYEeAjgBVVKu7Z\ns+e5yn0yAQFJ3r9/n4Ig8Ntvv6WPjw89jAS2EGLqRBnExAYF8nfdjKTY1hgLGWb8Ow9iLK3azo42\nNja0tbVlEMT42HZGEpYCXF0Cso0B+CnAsVIp34+N5Y8//kg/Pz8aDAbWqVOHKpWKY8aMYXh4OCdO\nnMjOnTuTFGOZ3d3dOXTo0BIr/BSHESNGPJPUDh48yNDQ0BJf88aNG3R0dOStW7dKVZcCvPPOO4yO\njv5LxHPgwAE6KRRsaGNTrFTgk0sGwAZKJQe/885zl2uFFX8nrGZkK4rE+GnTMFoux/sQBcinQzTD\n5j7lHAOAvgoFqjRsaJoD/qvIy8vDggULEBISAp1Oh7S0NHTV69ET4nzpdYjxls0hqrDkAvgRolOU\nE8T52AgAWRBjaO0BZOXkwMHBAXK5HL9DFPuOgzi3+y1Es6U5npzhEyCa178EMFcqRbsuXZCQkGCK\nhwwMDMRbb72F5cuX48SJEyhXrhz27duH+Ph4DBgwAKtWrUJiYiJ+/fXXEin8FIeSzNmW1oS8YMEC\ndOrUySJdYEmxZMkSbNu2zSQ+/zxYs2YNoqKi8PXy5fDv3BmNVCrsReFnUABCTN9YX6lEla5d8fms\nWc9VrhVW/N0oXUJWK/7zuHfvHpIWLsSXU6fCSxCQBUAJ0Yt3I4BYiHGkb0GcUyvAQwB9FAqkV66M\nLWvX/qUg/KysLCgUCgAi2RoMBkyZMsW0fxLEedUoiHPHsRBzGI+FGA87CMBWiMRrD1EWzxuAnXFR\nSqXIysqCWq2GrVSKeXo9xhmvbf5RF574a/5/S4hzwktzcxEVFYVhw4Zh6dKl4jGCAC8vL/z666/o\n2rUr+vbti/z8fEybNg27d+9GjRo1MH36dMTFxSEoKAju7u5o1qyZRRKQkkCj0Tw1pAUoHdnm5eXh\nyy+/xNatW0tVDwA4duwYhg4dil27dj3VG744kMSnn36KL7/8EsnJyQgNDUV0dDQWzJuH/hMmwPb+\nfbydmYmaEB3THgA4JAiYq1IBTk4YNmYM3ujX71+R/CEjIwNr1qzBpbQ0PHzwAA4uLggODkbLli0h\nlT4Z5W3FfwavemhtxT8Hv/zyCz2dnPi6Usmf8FhKz3z5HWK+YRejufVPgMNsbKiVy9mnc2c+evTo\nL9WhKDPyzz//TFdXV/7444+EWV1iIabpk5stNhDTJP4OUepMDzFP8gbjOXKIqf5sbW0pl8spk8lo\nC/AyRMWetSU0Wz4A6C8ItLOzY//+/anVatmlSxceO3bMou4Gg4Fff/01tVotPTw8uGHDBtO+YcOG\nMSIiokR5h4vCokWL2Lt376ce0759e3777bclut4333zDiIiIUtfjzp07LFeuHL/55ptSn0uK854x\nMTGsXr06r1y5Umi/wWDg9u3b2bV1a9bw92cFDw/WDAhg93btuHv37n/NXOmJEyc4oE8fOsrl7KhS\ncQzABIAjJRLW0Wjoq9Vy0ief8ObNm6+6qlb8DbCSrRUkycOHD9NVpeJ3JSSbX42Eawtw8Lvv8s8/\n/3wh9SiKbEmyU6dO/OyzzwiA2XickP4jszrlADxitl4F4EaArnjsROUHsIpCwW3btpEkL1++zF6v\nv05/iIILJSHbBwAby2SMatqUNWvWpEQiYffu3Tl48GB6eHiwdevW3L9/v0X9T506RV9fX9rb2/PO\nnTskRZ3Y1q1b8+23336utlq7di3bt2//1GOCgoJ44sSJEl2vbt26XLduXanqoNfrGRUVxUGDBpXq\nvALcunWLjRo1YnR0dInyPP9bMWv6dOoUCo6XSnm1mPfqF4B95XJ6ODq+MO1gK/45sJKtFbx58yY9\nnZy4voREW7CcBGgvCJwzZ84Lq8uTZJufn8+ffvqJLi4unDBhAu1kMpP4+0mIouwpRgJ8G5aiA+Mg\nir3HmG0bDNGhys7Ojv7+/tRoNIyNjeXrHTvSFuAAiMIBRd2vAeAOgKEKBbVqNWfPnk2SjI2NZbly\n5ejl5cW6deuyT58+9PHxYUREBLdt22YaeWVlZdHd3Z06nc7kAZ6RkcFKlSpZeBUfO3aMb/XqRW9n\nZ6psbamxs6OfqysHDRjA33//3XRccnJyIU1Uc+Tm5tLOzq5EWrkHDx6kn58f8/PzS/W8PvnkE4aH\nhzMnJ6dU55Hk2bNnGRAQwOHDh5fKW/rfhs8TElhBqeT5Ev6u1gPUqlQ8fPjwq666FS8QVrL9j6JA\ngq8kmDh+PPvJ5fQFeLyUhDsLYNVy5V54vWUyGWUyGeVyOatWrcrly5dz9+7ddHd3Zy8zybMVAMtD\nlM1rB9FTuGDfaYgm481m274E6OPhQScnJ2q1Wnbo0IFvvvkmQ0JCTGE6GoBjBYE7jaON3QCnCwIr\nqlSs7OvLxK++4p9//klPT0+uWbOG+fn5bNGiBQcOHMh169axefPmdHV1ZatWrViuXDnWrl2b69ev\np16v58GDB01lz5w5kwaDgefOnaObmxtnzZrFelWr0kup5CdSKc9C9LK9Z7yXj2QyuikUbFK7Nk+c\nOMEDBw6wdu3axbblmTNnWK6Ez6ZHjx7PlGB8Elu3bqWnp2eRpt9nYffu3XRzc+NXX31V6nP/Tdi6\ndSu9lMqnSgYWtXwH0NPJibdv337Vt2DFC4KVbP+jKCnZ5ufn09vFhUeMJtbSkm0GQKUg8MqVK4VG\nRaUdJZUEt27dMsn/laaeBSPT0KfEYT58+JB79+5laGgoNTY21Nna0lEQ6KFQsGr58hw1ahRPnjxp\nuq+jR4/S1dWVu3fv5t27d1mhQgV+/fXXJMVR29ChQ6nVahkSEsJy5cqxcuXK/Oabb9ipUycOHTqU\nNWvWZLt27Xj79m1+8sknVANc/pSRNSGGVs0D6KpSceHChQw06qQWhfXr11uEFxWHq1ev0tHR0WTe\nLglSU1Op0+meK8Rr0aJF1Ol03L59e6nPfRUw7/xJpVJ6e3tz3rx5JTq3cY0aXPEc7yoB9lQq+dGo\nUUVOq1jx74OVbP+jKI5sHz58yG7dutHe3p4uLi587bXXWEetNs1nxgP0MC5TzX74GyGKqCsABgPc\nZdy+CKKQun/58oyOjmZSUhJbt27NqKgo03zi8uXLWaFCBdrb2zM2Nva5TI7meKtXL/aUy4t04Hra\nMl8QqJZImJiY+EynmlmzZtHDw4Pbtm3jnj17OGXKFHbr1o3ly5enRqNhw4YNOWTIEH744Yd0dnbm\n8ePHmZKSQldXV+7bt8+ivRcvXsy6devS1dWVPj4+LFOmDNVqNc+fP8/BgwdTp9PRxc6Ov5TiXnYC\n1CqVdHV1LfYePv30Uw4ZMuSZ7RkfH8/Y2NgSt392djarV6/OadOmlfgcUpzfHTVqFMuXL29hDv+n\nQxAEXrx40bR+8OBBqtVqnjp16qnnnTp1iu4KBXMgOuqVlmz3A/R1dbWS7X8EVrL9j6I4sp0zZw5b\ntGjBrKwsXrt2jS4uLuxi/HH7AoyEaIo9BtEBap9xn6vxA68HOAOWQtlSgEG+vjQYDFy0aBFlMhk3\nbdpEkjx06BDLli3LM2fOMD09nc2aNeOECRP+0r1lZWWxduXKHGRrW+KP2EqAbvb2/P777xkcHMyo\nqCgLgfqi8MMPP9DV1ZUrVqwoZN62sbGhh4cHGzRoQBcXFwqCwPr167Nz5850cnLizz//XIjQjx49\nyv79+1OtVlOhUFAul3Pq1Kl002i49Sl1j4elkHrBshSgRhBM5fTp04czZswwlRcTE8MFCxY89R7P\nnDlDQRCeSRzm6NevH7t06VIqL+CsrCx26tSJ4eHhTE9PL/F5/wQ8SbYkWbNmTa5Zs4Zk8Z3JMh4e\nDBcE+kF0vGsEcDTAIONv6wOzZ5kK0WteA7AORAuTAeI0iCAIpmxxgiBYmJbN17dv386qVatSrVaz\nS5cuvHv37stoHitKCCvZ/kdRHNleuXKFN27cYGZmJo8dO0atiwu7Gn/wfgD3mH0A3sVjb99fjT/+\nSwCn43F2pUUAKwP0N46wFi1axPDwcFN5AwYMMKVtJMW5uurVq//l+7t9+zYbVK/OFgoF96LoMCVC\nDE0aZGNDLxcXU1hOTk4OR48eTZ1Ox+XLlz+VNI4fP04fHx/GxcVZjDD0ej2/+OILOjs7Mz8/n598\n8gnLlCnDESNGMDAwkDKZjDqdjq1atWJ8fDw3btzI69evkyTv3bvHSZMmUSKR0M7OjlWe0VEojmz1\nAD0B/t///R9JkVzNybZu3brcu3fvU9txyZIlbNasWYnb/auvvmJQUBAfPHhQ4nOuXbvGWrVqsUeP\nHn85NOxVQBAEHj16lLdv32Zubi5/+ukn2tvb848//nhqZ9JRraY/YPI+bgSwKsBrEEPNKkJM+ak3\nbk8E+BDgXIiOfQQYY2NDOzs7i7oURbZpaWn08PDgoUOHmJGRwT59+rB///4vva2sKB5Wsv2Pojiy\nPXz4MENDQxkYGMhOnTpR6+LC9mZk+6fZx3wiRA9fAowD6A2wAcDXnyDbWgDdFQqSItmapx1s0aKF\nKaa1YPHy8noh95idnc0Z06axgqcnq6rVnAoxV/E6gF8BbKFW01Wt5oi4uCJHsYcPH2ZQUBA7duz4\n1NjGq1evslq1apTJZBaevQVpJNPT05mYmEh7e3tKJBLWrl2bLVu2ZNu2bdmlSxcGBQXR2dmZAKhU\nKlmtWjUqlUqq1Wo6KxRcavzgvgcxNtgBYEeA9yHmepYYlwLCnQAx37Pa+FGOMnokx8TEMDY2lsHB\nwXR0dKStrS0vXbpEUkzDGB0dTUdHR1aqVIkbNmygwWBglSpVKJfLSYqe0e3ataNGo6G/vz9Xrlxp\n0Q6HDh2iVqstlQn4xIkT9PX15fjx4/818bAkmZeXx/Xr17N5WBgBWCxKhYJDhgyhXq9/amdSrVBY\nhKY1BviF2fokgD0BHjCSrXlHqizA34zvhK2tren6RZHtrVu3mJCQwPfee8+0/cKFC3R2dn4JLWVF\nSWEl2/8oiiPbevXqWXiA+vv7s7atbZEj2zch5v9NNn7UHxq3b3uCbAMBamxsePXq1UJkGxMTw8TE\nRNP6/fv3efLkyRd6rwaDgdu2beOA3r3ZoWlTtm3UiH06dWJSUtIzw16ys7M5fPhwuru7c+3atcUe\nd/r0acpkMoaHh/PmzZvMzc3llClTGBoayvv371OlUvHkyZPs2bMny5YtyzZt2rBGjRps0qQJlUol\nDx48yEuXLlGlUjE0NJTvvfce/fz8KECMG/4BYAhEQYe7xk5NQW7qscaPLiGGO3lCtDBkAWwPUCoI\nzMvLY58+fejp6cnffvuNp06dokwmM42ymjVrxhEjRjAzM5P/93//ZzKP+/j4mEbs8fHxjImJYX5+\nPg8fPkylUsmMjAySZHp6On19fZ/aRk9i06ZNpnL+TVi7Zg29XVwYptFwKcR82BeN7f8AonBFsFrN\nAE9P1qpVq9jOpINKxXFPkK15eN1SgM2NHSopLJOz2Bp/d/1ksmJHtnq93kS2sbGxtLGxsaiHjY3N\nX/aPsOLFwUq2/1EUkO3ly5d56dIl01KrVi3OmjWLOTk5TEpKolwup0Im4w2Ic7atIXoYHwaohTiX\ntAWgP0RVlTSAERCdogwAvwZoB1AqlbJBgwaMi4uz8IDdvHkzq1evzsuXL/P27dts164dR4wY8Qpb\npmjs27ePAQEB7NGjR5HhFuZztoIgUCqVUhAETp06lY8ePeKpU6eYn5/PM2fOsGzZsnR3d2daWhrV\narWFWb1SpUrcuHEjSfL777+nxPjhTTe2bTbAUxDn7wo+1OZm5PsQrQ+5AM8C7AHQViJheno6Y2Ji\nOG7cOJLiCKtixYoMDw/ntWvXqFKpLD68b775JoODgzl69GgT2Y4dO5Y1a9bkTz/9xLy8PN69e5d6\nvZ75+fkmsi4pZs2aRXd390LJPf7pmDNjBssoFCZfBT5BtgWLwfi7kEulfOvNN03nm3cm3Vxd+cYT\nZDvHbH0ixBjw3QDDn7j+r8Z3ob5KZbI8kKTE+KxJ0eJSQLZjx47lRx99ZDouJyenkJqXFa8WViGC\n/zi8vb3h4+MDHx8f+Pr6Ii4uDtOmTYObmxuOHj2Kzz77DHkAvhAECADqACgPUc/1MwB+EJP814WY\nX7gtgI8g5hgeAeAUALlKhTFjxiAnJwebN29GcnIyevXqhe+//x6NGzdGr169ULduXZQrVw5OTk4Y\nP378y2+IZ6BevXo4duwYXFxcUK1aNWzevLnQMSqVCnl5eVi4cCGcnZ0xY8YMfPrpp9i5cycSEhJQ\nrlw5vP3226hcuTKysrLw5ZdfokuXLjhy5AhSUlIAABKJBPb29gCA/Px8Uy7fDIji9lUBjIKY+7co\n5EAUTagAMQf0dYii1Lm5okSEp6cnAOD3339HQEAA7ty5g7S0NJQpUwa2tram69jZ2SElJQWdO3c2\nbRs1ahRat26Nt956CzqdDvHx8QCA+Ph45OfnY+LEic9sx/z8fLz33nuYN28e9u/fj7CwsGee80/B\nqpUr8emoUfgpOxv1nnGsAKAFgKl6PRYmJmLVqlW4c+cOevXqhSVLlgAA3Dw8sEUmM+XbJoBFANIB\nnAUwH0A7iL+tqwC2QHy+SyD+/i4AOC0OiEy6xV5eXjh06BAAIDExUayLIKBTp05YsWIFzpw5g8zM\nTMTFxeHTTz99Ec1ixYvCq2Z7K149jh49SnelslDv/VlLFsAaSiUXLVrE06dP08fHhwaDgVevXuUX\nX3zBiIgIOjg4sGvXrly9evW/Jh3fzp076efnx759+5rMqE9mttq9ezd1Oh2rV6/Ozz//nA0bNjRl\nQfrqq68YHh7OChUqsEWLFoyMjGSFChV49+5dVqlSxRSbum3bNgrGtuwOy9STPYoZ2X4IcZ6PZusS\ngA8fPrQY2b7//vvs3r07W7RowdTUVDo4OFjEPQcGBrJRo0YW95WcnGyau75w4QLLly/P0aNH08vL\ny+Tc9TRkZGSwZcuWbN68Oe/du/cCnsTTUWBtaNeuXaF97du3L9KLuDg8fPiQWrXaIt1nwSIpYmRr\nvgwAKJNI6ODgwJiYGP7xxx8cPnw4ZTIZ7W1tTWFygRDnYssaTcV1nhjJ1oGoFV0TYtrRoba2HP7+\n+6xduzadnJxIiqb5ihUrMjg4mB999BGdnZ1NlpgVK1awfPnyVKvVbNeu3XPLJFrx98BKtlaQJKdO\nnsxKSiWvlIJoWysU7NWpEw0GAw0GAz08PPjHH39YXPfGjRucP38+mzVrRnt7e3bs2JErVqzg/fv3\nX9Gdlgz379/nm2++SV9fX27fvr3INJIrVqygRCJheHg4w8PDmZWVxdOnT7NatWqsV68eU1NTqdFo\n+Nprr3HQoEFs0aKFBdkeP36cEkHgIYBdAQ4zmoc3AXQyEmmBQ1Q34/8fGI/NBfgzxJAsjdE5rU+f\nPvT19eW5c+fYuHFj+vv7c+nSpSTFUJWxY8cyMzOTmzZtoiAI/Pnnny3uq2fPnoyNjWVWVhZTU1Pp\n6elJR0fHEpmCL1y4wCpVqjA2NpZ5eXkv+nEUidTUVNrZ2dHZ2dnCOzozM5POzs6Uy+UlJtuFCxey\nhTHevLSLAWCIMX3n66+/TmdnZw4ePJipqamcN3cuaymVvA9LoYviPMwLlhMAXRQKnj9//u9qPite\nMqxkawVJ0clo4rhx9FEquQaPE/cX9WHZA7C2Usnu7dtbzAP27NnzqZl1bt26xYULF7JVq1a0t7dn\nu3btuHTp0pcyCnpebNmyhV5eXuzZs2eRaSTnz5/P+vXrU6fTUalUskGDBty+fTt1Oh3nzJnD2NhY\nKhQKUx5jrVZrItvffvuNKpWKMQoFT0IUTlAbR67fGEc5JyDGOjtA9Ai/CjDMuK81RC9WQRA4evRo\n9unTh++//z4rVKhAQRDYq1cvkwfwuXPnGBkZSZVKRTc3N5PHbEGHgBQJMzIykmq1mh4eHnRzc7PI\n2VwcDhw4QA8PD06fPv2lehwXdBSio6MtPKdXr17Ndu3aUa1W88KFC0xMTKSvry+VSiXDwsJMwgzx\n8fHs3bs369WrRzcnJ35v7My4GJ/F+3icV7sRwDVmvwPz9VTjqFUA6OPjw59++omk6JnfunVrerq7\n0xViUpgaED3mn/QwX27cb2/sTHkpFPxm+fKX1pZW/P2wkq0VFti4cSPrBwfTU6HgWKmUOyDmB94D\ncDbAymo1A728+OUXXxT6sC5atIidO3cuUTl3797lkiVL2LZtW9rb27N169ZcuHDhPzIX7N27d9m7\nd2+WK1fOFNNqjpycHL7xxhsMCQkxhdqYY9euXXR1deWuXbtYvnx5LlmyxLQvPT2djnI5rz/HiOoP\ngGqZjN27d2ft2rVZtmxZTpkyhZcvX6ZcLi8yXabBYGBwcDC3bNlS7P0aDAb27NnTgqyLw7ffgnlu\nHwAAIABJREFUfkutVmshHfiyUEC2y5YtY6dOnUzbX3/9dS5ZsoRqtZonTpygSqXiqVOnmJuby6FD\nh7JDhw4kRbK1t7fn5s2b6Wxnx0RjR+Y2RInGMoDJwcl8VGq+XhAj+wVAmSBw9uzZDAgIIElTgpeI\niAj6urlRLggMMJ4zFo89zA9BNC0fBTgFoI1Ewg7PUHOy4t8HK9laUSSOHz/Od/r2ZaPgYIaWK8f6\nVaqwR3Q0d+7cWewHOC0tjVqtttQKLhkZGfzmm2/YoUMH2tvbs3nz5lywYME/Ttdz/fr19PDw4JAh\nQ/jw4UOLfQaDgQkJCfTy8irSC3T16tX09PTk1q1b6erqyoMHD5r2fTRsGOsplabQqpIs9wBWVSrZ\nLCKCEydOJCmmEezZsyc1Gg2dnJyKlNbbs2cPK1as+NRnNGfOHFarVo1ZWVnFHmMwGDhp0iR6e3vz\n119/fWbb/R0oINuMjAw6OTkxOzubjx49oouLC+/du0e1Ws0zZ86YPMXPnz/P4cOHmzR74+Pj2bNn\nT/7222+sZG/PZk+MXuNLQLY/43GMrLOdHdPT01m2bFmeOHGCixYtYpkyZVi3bl0+ePCAfd94g/ZK\nJcurVGwKMApiVrbmAOtLpXSWyxndtCm/+OKLF5L4xYp/Fqxka8ULRUBAwF/6+GZmZnL16tXs2rUr\nHRwcGBkZyblz5/LatWsvsJbPj/T0dHbp0oWBgYE8cOBAof1r1qyhVqstUhd2zpw5DAgI4OLFi+nl\n5WVKtKHX69mzY0c2VKl4pwREexVgqFLJ9wcM4IQJEzhy5EiLcr788ktWqlSJnp6ebNy4MdeuXWua\nR+3YseNTJRH37dtHV1fXp+oT5+TksE+fPqxRo0aRij/5+fm8desWb9y4wdzc3GKv81dhPt/cqlUr\nrl27lhs2bGCLFi1Ikmq1mikpKezZsyd9fHwYGRnJdu3aWZDtwIEDefz4cVa2t2dFgAfN2nmBmRn5\nSbJtaCTmlXgcIwuAcrmctra2TE5OZpcuXahWq03WmoIY9P3797N6tWr0dXdno+Bg6pycKJVKaWdn\n98ITv1jxz4E19MeKF4omTZpgx44dz32+SqVCp06dsHLlSly7dg3vvfce9u3bh6CgIDRs2BCzZs3C\n5cuXX2CNSwetVotVq1Zh3LhxaNu2LT788EPk5OSY9nfs2BFbtmzBwIEDMWXKFJA07Xv33XfRpUsX\nzJkzB2+88Qbat2+PR48eQSKRYPG336LWG2+ggp0d4gCcK6Ls0wAG2tqislyOjsOHY/qXX8LBwcEU\nFlKA69evo0OHDrhw4QJiY2Mxbdo0lC9fHh988AF27tyJ3r17F3lvN27cQNeuXbFw4UKUL1++yGNu\n376NZs2aISMjA3v27DGFGhkMBmzbtg3tmzWD0s4OAWXKoJKvL5RyOSJr1cLatWuRl5dXqrYuDTp1\n6oQ1a9bgu+++Q8eOHU3b9+7di7S0NKSmpmLHjh2IioqyeCYA4OzsjJu5uVABuGm2PQ1iiA8ghlfp\nzfbdMO5zhxi6kwHARiJBRkYGDh48iAsXLmDHjh2oW7cunJ2dLcoLCwtDm/bt0bZzZ+w+dgyt2rXD\n/Pnz8ejRI2RnZ+PmzZvYunXri2kYK/45eNVsb8V/C6tXr2bLli1f+HUfPXrEjRs3sk+fPnR2dmZY\nWBinTp3KCxcuvPCySopr166xbdu2rFq1aqHRfFpaGoODg9m/f3+L0Z3BYGDfvn3ZvHlzduzYkX36\n9LEwy//5559sUKcO1TIZ69jbs429PSPUapaxs6MMYEDZsvz4449NJuKkpCT26tXLouwuXbpw2bJl\nFtuOHDnCKlWq0M7OjjExMYVM3Xl5eWzUqBFHjx5d7P2eOXOG/v7+HDFihIUZeteuXQzw9GQ1tZrz\nIGZZKhgB5kDUHG6g0dDT0ZErvvmmhK37bBSMbC9evMi9e/fSwcGBWq3WlPRBrVbzyy+/ZP369Qt5\niufm5jImJoY1atRgSEgI7QWBXQE2MZrof4OYErPAjNwb4HDj//8H0RlqLUTJw7IQHasa16jBxYsX\nU6vVUqfTcdKkSRbZ1Myzq02YMIHdunUj+e9J/GLFX4OVbK14obh16xY1Gs3fmiYuJyeHW7duZf/+\n/anValmrVi1Onjz5qabPvwsGg4GLFy+mq6srx48fb0Gs9+/fZ+vWrdmkSRMLrdi8vDxGRUWxW7du\nDAkJKSRV9+DBA7q5uXHgwIGsXakSnWxs2NfWlvEAxwMcaGtLT4WC9YODOWTIELZp08bi/GrVqvGX\nX36x2JaVlUUXFxceOnSICQkJ9Pb2Znh4OFeuXMnc3FwOGzaMr732WrEaxLt27aJOpysk9r561Sq6\nKhT8AcWLQRQshwD6KJWckpDwXG1tjhs3bnD4kCEUBIEeSiUr29tTKZVSKghs2aABf/jhB2o0Gp46\ndYotWrSgUqlk7dq1GRcXZzLXenh4sGbNmty7dy9nzpjBaIWCvSAq71QE2A9gfzz2OK4FUXSjI8Bm\nZmblXwFqjKISgYGBdHR05MGDB5mUlGTxbMzX9+3bRwcHB8bFxZEkp0+fTi8vL1Os7r9RsMGKp8NK\ntla8cISGhj5TbeZFIS8vj9u3b2dsbCx1Oh1DQkI4YcIEpqSkvJTyC3Dp0iU2b96cNWrUsMj9nJ+f\nz7i4OFasWNGiM5CVlcWwsDC+9dZbdHd3548//mjal52dzdpVq9JfKuUioEjHqVzjnGFduZzuGo2J\nzPPz86lQKAqp8syfP9/iw5+Xl8e1a9eycePGdHJyoqOjI0+fPl3kvS1cuLBIsfddu3bRVaHgsVI4\ndl0G6KtQcElS0nO1s16v5wdxcXSUy9lPLi+kAfwQYBLA2hoN/XQ6Tp8+nYMHD2ZQUBBdXV3Zo0cP\nLl26lDdu3DBd89SpU+zduzftIHoEF1xrlHF51j0dAljGyYm//PILdTodk5OTn+veXiZyc3P57bff\nslmdOvRxcaGTUklvZ2dG1qzJFStWWHMq/w2wkq0VLxzDhg3j2LFjX3q5+fn53L17NwcOHEhPT09W\nqVKFY8eO5cmTJ19K/KfBYOD8+fOp1Wo5efJki1Hi3Llz6ebmZhE6dOvWLQYFBXHgwIHU6XQ8e/Ys\nc3Nz2bJRI3ZSKJhdgg+9HuA7gsCQgADev3+f58+fp7e3d6F6Va5cuRBZkmTLli1pa2vL9u3b09HR\nkZ06daIgCJw2bRr1ej1HjhzJMmXK0MbGxsI72WAwMNDLiz+UgmgLlt8AOiuVpc4olpycTA+djo2U\nSqaXoJwNxhFn7969efjwYQvTd4F4RcuWLenm5sZx48YxonFjqqVSpkHUc/aA6C38tDIuAfRWKDhr\n5kyWKVOmkFLSPw16vZ6TJ0ygp6MjG2k0XGkctd8y/l0NMFKjobuDAyfExxdr6bCi9LCSrRUvHFu2\nbGGDBg1eaR30ej337dvHwYMH09vbm4GBgfz444957Nixv514U1NT2bhxY4aFhfHMmTOm7QVhPwVZ\nnUjy4sWL9PLyYr9+/UTi7dePrZRK5pWCvAwA37KzY3SzZty8eXMhfdodO3awUqVKhe77/v37dHNz\nM5HznTt32L17d0okEtrb27NWrVqsV68eP/nkE4aFhRW6ZhW1+pmm4+KWtioVF8yfX6L2vHbtGr/4\n4gs62NtTK5XyUSnK2Q9Qq1Sa5qgfPXrEpKQkVqtWjZUrV+bXX39tUoZ68OABK/j7UwIxM9enz7j2\ncYA+CgXHjxlDf39/zp49u4RvyKtBTk4Ou0RFsb5SyZPPuLfTACOUSkY3b/5M5SwrSgYr2VrxwpGZ\nmUmVSvWPyYVsMBh48OBBDh8+nGXLlmX58uX5wQcf8PDhwy+ceLt27crY2Fjq9XrOnDmTTk5OJnUg\nkjx58iTd3d0pkUhMpt4TJ05Qp9OxefPmVEokvPEc5JUD0E2h4AcffGCha0qSbdu2tcjsdfPmTbZt\n25ZSqZQKhYISicQ0au3bty+HDh1KiURCd3d36nQ60+jbXBNXo1Yz1lh2KkAVxLSSDgCDIEoGVgPo\nCHCwWT03QsyUZAtQIgi0t7ens7Mzg4OD2bhxYzZp0oQSiYTVq1fnuXPnSIq6wx07dqSNRMLXStku\nvgBHAwwOCKCHhwc9PDzYrFkzbt26tdhnP2vaNDrK5WwNUZHHvEOhB7gZYJRKRWelkl/Nn8/q1atz\nzJgxL/Q9etEwGAzs3bkzo0poMSl4pzooFOzWrl2pY+etKAwr2b5CXL16lRPGjePrUVFsXb8+u7Rs\nyZFDh1qMhv6taNCgwVOzFL0qGAwGHjlyhKNGjWJAQAB9fX05dOhQ/vzzzy/kgzJv3jyGhISY1qdM\nmUKpVEpnZ2dTnttx48ZRrVaza9eupuQYe/bsoVqpZAdBeK6RIgF+JJMxJDDQIsXiuXPn6OLiYtHx\n6dOnD4ODgxkcHMzffvuNUqnUpHvr6elJDw8PlilThnv27OHvv/9OtVpNtVpNNzc3du/enRkZGZRJ\nJNQCPGMkWwHgSIiycJ0hOhn9CvA6QGeIpmMaR4w7ISbdt5VIWKlSJd69e5cdOnQgAK5evZrZ2dl8\n/fXXGRMTQ5K8ffs2W0ZGsjXERBClaRM/iIknHAC2b9++yEQfRWHs2LGsVbMmg7y96a5QsJq9Pava\n21Mrl7N6QAC//vpr3r59mxEREYyNjX2paSpJWqQOLVhcXV2LPX7NmjWsplIxs5Ttlw2wpkpVyLu9\nKPj7+/Po0aPctWsXq1Sp8iJv9z8BK9m+Ahw4cICdW7Wik1zOWLmcywB+DzEf7gc2NtQpFGxWty43\nbdr0qqv63Bg7diyHDRv2qqvxVBgMBp44cYJjxoxhxYoV6eLiwqZNm3LkyJFct26dSfGnNPj9998p\nk8ksRopjx46lXC6ni4sL58+fz86dO3P48OGMjo6mk5MTHRwcWKlSJWrVau57zpGiAmAlgHaCwE2b\nNnHRokVs06YNK1asSBsbG4uRok6no7OzsylsKjAwkGFhYZw/fz4lEglXrlzJUaNGccyYMbx06RJt\nbGx46tQp2tra0t/fn1WrVqVKKuWbENMLFpBtwYf8M4geuwV1rAlR+5V4rNMqAehua0tPT0+SYliM\nq6srly9fbpprV6vV1Ol0lEgkBEQPYH+I+YMrmRF4H4h5o2sZ26sfYDI1+0FU0OkukdDF2Zmk6Bw0\naNAgurq60svLi4mJiSTFOf+RI0fSw8ODEomEH3zwAQ0GAy9evMijR4/y2LFjvHTpEg0GA/Pz89mx\nY0d26tTplcxrlkbRiCQjatbkiufsxK0DWK9q1RKXZSXbomEl25eMxAUL6KZQcI4gMKOYl/sRxMTk\n5ZVKfjhs2EvvNb8I7N27l6Ghoa+6Gs/E0aNH2b9HDzrK5WyqVvN1Gxt2EgTWFQSqpVJGt2hR6oxY\nHh4e3LVrF0nS19eXKSkprFWrFhcvXswaNWpQLpdz6dKlbNasGevVq0cfHx8mJiYSAFOec6SoBzgD\noAzgnj17uGjRIkokElMWpYKR4uXLl6nVai06chUqVKCbmxvt7e1NcaA7duxgWFgY16xZw7p16/Lg\nwYOsUKEC9Xo9v/32WyoFgR9CjC+9YOwcFLy/n+Nx5qUCst1k/D8OoLfxeJkg0NHRkZcvX+aMGTMY\nHBzMiIgISqVSent7U6lUmjoo1VUqMdG/8ffxEcAOZmTrAfAswDsAGwCc9ATZLgRoK5ORJCdOnMio\nqCg+ePCAx48fN9Xhs88+Y6tWrTh79mzWq1eP3t7eJlEBcxgMBg4YMICRkZGvLETnaWT7888/MyQk\nhAqFghUqVODUqVPprlAw2dhxe8fY/nWMnfzyALXG51bwzLZDTEOpNr5/ZRQK/vrrr+zTpw+nTJli\nKst83dfXl7/88ouVbIuBlWxfIpIWLqSvUskzJexR3gRYy0i4/zbk5ORQo9H8YzU1c3Nz+WavXvRS\nKjlRKi1SCOAKwI8hjiZDgoK4ZcuWEqUf7NatGydOnMizZ8+anI8KRornz583mZXt7Oz46NEjLlu2\njM7OzrQVhOcaKRogesVON5LtgQMHuGjRIpYrV86UdH/ZsmWMjIxkvXr1TCbj69evMzo6mhqNhhKJ\nhC1atOA3xqQT2dnZ1Gg07N+/P0eNGmWhiavX6ymTSNgeYgL+VONHuaB+U4oh22SAARDDc64BlEsk\nplGrYJy/HTZsGCtWrMjVq1fTzc2Nw4YN44oVK9hFo6EtxDSJBSP62mZkO9ysvG8A1n+CbL8DKBUE\nkmTFihUtZAN/+OEHXrp0iYGBgTx8+DCDgoK4fft2jh07lkOGDCn0fEePHs0aNWq8UplIQRCKTehS\nq1YtLly4kPn5+fzuu++oUCg4XCbjLuN7NReiRGaYsfOSClF4wQZiQo80Y+flEMAMY/uGAhwxeDBj\nYmJM/gckLdb9/Px45MgRK9kWg/+JdI0XLlyARCJBdHR0oX0dOnSARCJBWlraXy4nKSkJEokENjY2\nsLGxgVwuR3h4OE6fPo1Tp05h+LvvYsvDh6hQwuu5Avjy4UMkTJmCjRs3/uX6vUw8fPgQXmXKILJG\nDQSVKYMKHh6oGxSED4cPx8WLF19p3fR6Pbq1bYtLa9fi9MOH+FCvh1sRx3kC+ARAKgD1n3+iX/fu\ncHd3R9++fbF582bk5uYWef3GjRvjwIED2LFjB5o1awYAaNq0KbZt24ajR4+iVq1amDFjBkiic+fO\naNKkCVauXIl8EukQ0wAqAaiM1xMAaJ4ow2D8uxiAL4DuAA4BIAC1Wg2DwYAbN25g0KBBAAA7Ozuc\nOXMGLi4uGDVqFFasWIFKlSrh8OHDqFmzJlxdXbF79240bdoUACCXy1G3bl0sXboUjRs3hp+fHwIC\nAjBhwgRkZ2ejWsWKSAbQuYj7ZzHb9Ma/jwD8BCCfhEqlwo8//oj+/fvj4cOHsLe3h42NjXjfggA3\nNzcIggBCTJloU0QbCMZnVQBvWKZdNNVJEJMvXrp0CeXKlTPta926Nby8vHDhwgWEh4cjJSUFUVFR\nSEhIwI0bNyyuM3v2bKxcuRKbN2+GRvPkU3m5qFixIhQKhWlZu3YtACAxMRG9e/dGeno68vLykJ2d\njfL5+QAAFwBvQ3y/QiE+Pz8AgQAcAFwFsBxAJwC1ANgDGAfgLIDrxt8tWdQTtuJZ+J8gWwCwtbXF\n3r17kZmZadqWlZWFPXv2wM7O7oW9QI0bN0ZeXh7y8vLw4MEDNGrUCH379sUXU6fi3dxcBJXyei4A\n7ADM+OSTF1I/c+j1+mcfVErcuHEDb/bsibIeHqh07hwmX7yItVevYuP16/g8JQUPZ81C9cBAtI2M\nxPHjx194+SXByLg43Pu//8P3Dx8WIrGi4AggOS8Pfjk56NW1K6pVq4ZJkybB3d0dvXv3xoYNG/Do\n0SPT8QVku337dhN51atXDydPnsTWrVsRERGBBg0aQKFQoHLlyggODsbt27chk0qhgEgMgln55v+b\nYxuATQDOAPg/AF0hEpCnpydOnz4NiUSChg0bAhBzBN++fRtLlizBokWLEBcXBwcHB7Rt2xbJycmI\niIhAxYoV4erqarp+s2bNQBL169cHAKxatQqbNm2Co6Mjfk1JgVYiQcHRT9b3yToLAJpDzCPsAaAb\ngLcGDIBOp8O2bdsQHh4OV1dXuLi4AAAyMzORk5ODnTt3Ys6cOUgx+90+CQK4YraeBkvyBYA7AGQS\n8XPn4uKC69evm/bNmDED586dg7u7O6pVq4bly5cjOzsb586dQ0JCgum4FStWYPLkyUhOToZOpyu2\nPi8LZ8+eRXZ2tmkpyAm9ZcsWlC9fHu3bt0dycjIAwNZ4jnmnUoKiO3EXAcwDoDAugRA7SA+zsgrV\nwWAwFNpmRTF4tQPrl4OSiEwnJSUxKCiI77zzDlUqFevUqcPvv/+e5cuXp1ar5eeff246b/v27axa\ntSrVajW7dOnCu3fvkhSdPBo3bmxRdoFAuJNCwbMQc61qAZYD+JWZ6avAvONhXOYbt6uM+wSAp0+f\npiAInDx5Ml1dXenj48N169axQYMG1Gg07N69u8lZIzU1lU2bNqVGo2GdOnV4/PhxUx1bt27NqKgo\ntjdqZn711VcsW7YsnZyc+O6779JgMLBOnToWqfk+/PBD9u7d+6ntfObMGZZ1c+MQmYzXnmIezwQ4\nB6CrSlUqj+XIyEiT56UgCJRKpab1onRmi8KNGzfoKJfzVglN+U+alR3lcpPY/ZUrVzhnzhw2btyY\nNjY2DA0N5dq1a5mVlUV3d3fK5XILmcD69esTgClbVM2aNTl27Fju3r2b3t7elEokfFsmK2SWLWoO\n9AejKdkf4jxlmtFEayOT0WAwsFq1agwODiYpyiVqNBrWrFmTJOnq6kpnZ2fOmDGjRP4AmZmZTExM\nZM2aNenr68uJEyfy8uXL9HV15U/P0Y6njO9zfHw8b968ybS0NE6aNIkqlYrBwcG0sbGhRqOhm5sb\nGzVqxKSkJLoolVQBvGhmRq5pZkb2BXgeoiJSCESTurkZuYtMRq2LC0ly8ODB7NatGx88eMBt27bR\n2dmZGRkZ7NmzJ1UqFe/du8eUlBT6+/tz8+bNJMUYaZ1OV2Jv5r8bxc3Znj17lk5OTqb80H/88QcB\n0bS/C2AVs+cwEKKubsG6FuBJ47aPzLbnQJybH9C7N/v27cvPPvvMVF7z5s2tZuQS4n+KbJ8mMp2U\nlERBEDh37lxTKj0fHx+mpqby999/p42NDe/du8e0tDR6eHjw0KFDzMjIYJ8+fdi/f3+Shck2KyuL\nI0aMYIUKFdhRpeKbAHsY50F+g+gossuMbLtBnEvZAFGyKxei84ka4IcyGYcNGkRBENirVy9mZWVx\n6NChlEqlTE5OZkZGBgMDA7lx40bq9XpWrVqViYmJfPjwIefOnVtI0LrAQWbfvn309fVlamoq09PT\nWb16da5cuZKTJ082kTFJhoSE8Pvvvy+2ja9cuUJfV1cuKEXoyj6Arkol9+3bV+pn6ufnxz179pT6\nvIQJE9hPLn8ur0wC7KpUctbMmYWue/36dc6bN49Nmzalvb09vb296evra5E2ceTIkQRg8lQ+d+4c\nIyMjqVKp6O/vzyZNmlANcf5MY1bmFDxOiG8+B6oH2BNihywEoLtEQicnJ/br148ajYatWrXi3bt3\n6e/vz0GDBjEiIsLkiGXeUZHJZKZ32By//fYbBw4cSGdnZ7Zp04abNm2y8Lxdt24dyygUTC1F+90F\nGGhnxyaNGtHT09M0Z+vg4MB27drxo48+Mjlimc8HDhs0iLZmZPsDRO9jQuyI9IGYt9gB4Lt4HBvr\nZ3zPHGxtWbFiRZJi56FHjx50cHBgYGCgqcMXHR3NsLAwOjk50cPDw0QqBw4coFarLdJZ6lWhOLI9\ndeoU7e3t+fnnn7Nr165UqVQEwBqCUCKyPWUk3HIQnfUeAHwboLtMxsWLF3PMmDHs3LkzSZHYFQqF\nlWxLiP8psn2ayHRSUhK1Wq3pnHfeeYdDhw41rWu1Wp4+fZoJCQkWSQMuXLhAZ2NIQYEHaIEmpUql\nYsOGDflW//4cDzE845LZyz3R+MIXkO1Z4/96iEH/V/DY+WQ1wA5Nm1IQBAJgu3btuGrVKguRaU9P\nTwLgxx9/TDs7O5KPvQXNBa3Dw8NN5wwYMICTJk0iSc6YMYO+vr60sbGhTqejjY0NMzIyePnyZarV\nakqlUt65c8dCvaRRo0Zcs2YNoxo35liZrNTktRmgp5NTqXOxPkm25gkXKlWqxA0bNlg8e1IM7Sjj\n5ESlsew8I4k5QnQUmW62vTLEDo/5dkJMTC81evk2bdqUly9ftmhnUvwQ9ujRg3Z2dhQEgSEhIVy2\nbBlVKhUFQaBGoyn2vhrWqGER2lPS5QsjQevUatatWZPvvvsu9Xo927RpY7JWTJgw4Zli79nZ2Vy2\nbBnr169PDw8Pjh492uKjbjAYeOzYMX766ads3LgxFba21EokPFKCOqZCVMiRA6xWrRonT55sEnZ/\nFn744QdqBIE3i7huDMCpTyl3liCwVcOGT73+2bNnqdVqC+WUPn36NN3c3Lhx48Zn1vHvxJNxtQDo\n7OxMvV7PkydPcu7cuezWrRs9PT2pUqkok8mo0+k4a9Ys1qxZk1KIOaOrmrXLQIDjiiBbQlRqKm/8\n9jSFaNHJzs7m7du32aRJEwYGBtLZ2Zn169fn1KlT6evrS09PTx45coS7d+9m1VKECv2v4H9mzhYA\n7O3tERYWhs2bNyM5ORm1atWCg4ODab+b2+MZDYlEUsgBwmAw4OLFi5g3b57JKSEwMBAPHjwwaZo2\nbNjQNIeSmZkpzgkb54r0ALzMrqcFkG627lJQNsQ5lnyzfWoAf5w9CwCQyWTYtWsXzp8/D7lcjpyc\nHGRlZSE9PR0ymQx37txBTk4OFAoFli1bhpEjR+LKlSu4fv06BEGAk5OT6boFziIjRozAjBkzsGjR\nImRlZeHgwYNQKBSIiIjA5s2b0bJlS+Tn55vOFYzOJoIg4ObNmzhw4ABG5JvXuGRoCSAgLw/r168v\n9piSzC337NkTFSpUwOXLlzFv3jz069cPZ43tVYAbN24g5+FDk6PCMgCXAFwHsBPABAC/G7dnAhhm\ntj0FwCkAmwHYSiQ4e/YsXFxcMG3aNABiOxS0SUGd79y5g+XLl+PUqVNYsWIFAPG9mj17Nu7evVvk\nfazZsgUbPDzw6TPv+DG+hejIdQTAzsxMVP7lFyxPTET9GjVw48YNJCQkICYmBuvWrcOBAwcQEhJS\n6Bp//PEHhg8fDh8fHyxevBiDBw/GxYsXMX78eKjVaqxatQpvvPEGPD090blzZ1y5cgXDhw9H2pUr\nkHt4INLODs0VCmyEpe4rIc4nd7S1RYidHd6dPBlnLl5EVFQUpk6diiFDhmDr1q3Fzv3l5uZi3Lhx\niImJQcRrr6GNUomiZm9ZTNskA5igVmPKvHlPbcNp06ZhwIABUKvVpm2XLl1CixYt8NnrJnL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ejQobfmVraCbV5eHr/44gv6+fkxODiYnTp1okajkSZ3RqORACTXs7V6QbAA6hrL/dMfIn90F4gU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\nnJzMq6++yrRp02gIPFF1jHOO+QuwDtNiAeb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SzzVgwACGP/AAt/v7c+Iy93sQuN3fn3mL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\nXvb/AXFJyUnL6n5jAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10ed0d650>"
]
}
],
"prompt_number": 174
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Degree Distribution\n",
"\n",
"Let's see the degree distribution. "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"deg_seq = sorted(G.degree().values())\n",
"print nx.degree_histogram(G)\n",
"N = 1.0*len(degree_seq)\n",
"p = 1.0\n",
"k = []\n",
"ccdf = []\n",
"for i,x in enumerate(nx.degree_histogram(G)):\n",
" p -= x/N\n",
" k.append(i+1)\n",
" ccdf.append(p)\n",
"plt.loglog(k, ccdf, 'k-')\n",
"plt.xlabel('Degree')\n",
"plt.ylabel('CCDF')\n",
"\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[0, 17, 10, 6, 2, 1, 5, 10, 1, 3, 5, 6, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]\n"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 56,
"text": [
"<matplotlib.text.Text at 0x10c02c810>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEVCAYAAAD+TqKGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10c037c10>"
]
}
],
"prompt_number": 56
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Connectedness\n",
"\n",
"Is this network connected? How many components?"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print nx.algorithms.components.is_connected(G)\n",
"print nx.algorithms.components.number_connected_components(G)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"True\n",
"1\n"
]
}
],
"prompt_number": 59
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Centralities"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"df = pd.DataFrame({'Closeness': pd.Series(nx.algorithms.centrality.closeness_centrality(G)),\n",
" 'Betweenness': pd.Series(nx.algorithms.centrality.betweenness_centrality(G)),\n",
" 'Eigenvector': pd.Series(nx.algorithms.centrality.eigenvector_centrality(G))})\n",
"df.sort('Betweenness', ascending=False, inplace=True)\n",
"print df"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" Betweenness Closeness Eigenvector\n",
"Valjean 0.568534 0.644068 0.268221\n",
"Myriel 0.176842 0.429379 0.028140\n",
"Gavroche 0.165006 0.513514 0.316848\n",
"Fantine 0.130609 0.463415 0.090269\n",
"Marius 0.127982 0.531469 0.260171\n",
"Thenardier 0.081728 0.520548 0.193043\n",
"Javert 0.054231 0.517007 0.184699\n",
"MlleGillenormand 0.046845 0.441860 0.064944\n",
"Enjolras 0.042500 0.481013 0.265797\n",
"Tholomyes 0.039811 0.391753 0.048415\n",
"Bossuet 0.030736 0.475000 0.240717\n",
"MmeThenardier 0.028699 0.460606 0.123034\n",
"Mabeuf 0.027661 0.395833 0.193938\n",
"Fauchelevent 0.026491 0.402116 0.040076\n",
"MmeBurgon 0.026316 0.343891 0.026533\n",
"Cosette 0.020732 0.477987 0.113265\n",
"Gillenormand 0.019457 0.441860 0.067174\n",
"Eponine 0.011135 0.395833 0.142302\n",
"Simplice 0.008523 0.417582 0.046117\n",
"Bamatabois 0.008041 0.426966 0.062301\n",
"Pontmercy 0.006925 0.372549 0.038405\n",
"Courfeyrac 0.005249 0.400000 0.231049\n",
"Gueulemer 0.004951 0.466258 0.145872\n",
"Babet 0.004951 0.466258 0.145872\n",
"Claquesous 0.004852 0.455090 0.141952\n",
"Montparnasse 0.003864 0.460606 0.136425\n",
"Bahorel 0.002167 0.393782 0.220124\n",
"Joly 0.002167 0.393782 0.220124\n",
"Combeferre 0.001240 0.391753 0.209398\n",
"Feuilly 0.001240 0.391753 0.209398\n",
"LtGillenormand 0.000766 0.383838 0.058097\n",
"Brujon 0.000439 0.381910 0.101651\n",
"MmePontmercy 0.000351 0.315353 0.008595\n",
"Magnon 0.000211 0.334802 0.015818\n",
"Grantaire 0.000150 0.358491 0.185259\n",
"Cochepaille 0.000000 0.404255 0.041189\n",
"Count 0.000000 0.301587 0.002340\n",
"BaronessT 0.000000 0.351852 0.027223\n",
"Child2 0.000000 0.342342 0.028740\n",
"CountessDeLo 0.000000 0.301587 0.002340\n",
"Child1 0.000000 0.342342 0.028740\n",
"Chenildieu 0.000000 0.404255 0.041189\n",
"Champtercier 0.000000 0.301587 0.002340\n",
"Cravatte 0.000000 0.301587 0.002340\n",
"Dahlia 0.000000 0.340807 0.019743\n",
"Champmathieu 0.000000 0.404255 0.041189\n",
"Brevet 0.000000 0.404255 0.041189\n",
"Boulatruelle 0.000000 0.343891 0.016054\n",
"Blacheville 0.000000 0.340807 0.019743\n",
"Zephine 0.000000 0.340807 0.019743\n",
"Isabeau 0.000000 0.393782 0.022306\n",
"Fameuil 0.000000 0.340807 0.019743\n",
"Favourite 0.000000 0.340807 0.019743\n",
"Woman1 0.000000 0.395833 0.037666\n",
"Toussaint 0.000000 0.402116 0.047086\n",
"Scaufflaire 0.000000 0.393782 0.022306\n",
"Prouvaire 0.000000 0.356808 0.174532\n",
"Perpetue 0.000000 0.319328 0.011342\n",
"OldMan 0.000000 0.301587 0.002340\n",
"Napoleon 0.000000 0.301587 0.002340\n",
" ... ... ...\n",
"\n",
"[77 rows x 3 columns]\n"
]
}
],
"prompt_number": 91
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Path length"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"nx.algorithms.shortest_paths.average_shortest_path_length(G)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 92,
"text": [
"2.6377306903622695"
]
}
],
"prompt_number": 92
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"temp = [x[1].values() for x in nx.algorithms.shortest_paths.all_pairs_shortest_path_length(G).iteritems()]\n",
"lengths = [l for sublist in pathlengths for l in sublist if l != 0]\n",
"plt.hist(lengths, bins=np.arange(-0.5, 5.5, 1.0))\n",
"plt.xticks(np.arange(1.0, 5.0, 1.0))\n",
"plt.xlabel(\"Path length\")\n",
"plt.ylabel(\"Number of paths\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 107,
"text": [
"<matplotlib.text.Text at 0x1033e7590>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x10edba6d0>"
]
}
],
"prompt_number": 107
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Friendship paradox"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"degrees = G.degree()\n",
"neighbor_deg_avg = dict((n, np.mean(G.degree(list(G[n])).values())) for n in G.nodes())\n",
"print np.mean([1 if (k < neighbor_deg_avg[n]) else 0 for n, k in degrees.iteritems()])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.87012987013\n"
]
}
],
"prompt_number": 165
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Soheil's version"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"thr = 0.5 # friendship paradox holds when more than `thr` fraction of neighbors have larger degree. \n",
"def doesithold(l):\n",
" if thr < np.mean([1 if x > 0 else 0 for x in l]):\n",
" return 1\n",
" return 0\n",
" \n",
"temp = [map(lambda x: x - k, G.degree(list(G[n])).values()) for n,k in G.degree().iteritems()]\n",
"np.mean([doesithold(l) for l in temp])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 167,
"text": [
"0.55844155844155841"
]
}
],
"prompt_number": 167
}
],
"metadata": {}
}
]
}
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