{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "# Python NetworkX" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- http://networkx.lanl.gov\n", "- It is a Python language software package for the creation, manipulation, and study of the structure, dynamics, and functions of complex networks." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1) networkx 모듈 설치 및 테스트 코드" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAFBCAYAAACvlHzeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAIABFDAAAAZQwAAAGEABAwBgwP8D7xL5VwPOPpEAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import networkx as nx\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "g = nx.Graph()\n", "g.add_edge('a','b')\n", "nx.draw(g, node_size=1000, with_labels=True, font_size=16)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2) Simple Graph Analysis" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFBCAYAAAA2bKVrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nETtT+IqIiNiZwldERMTO/j+hG8ofGjUOKQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = nx.Graph()\n", "g.add_edge(1,2)\n", "g.add_edge(1,3)\n", "g.add_edge(1,4)\n", "g.add_edge(2,3)\n", "g.add_edge(3,4)\n", "g.add_edge(4,5)\n", "g.add_edge(4,6)\n", "g.add_edge(5,6)\n", "g.add_edge(5,7)\n", "g.add_edge(5,8)\n", "g.add_edge(6,7)\n", "g.add_edge(6,8)\n", "g.add_edge(7,8)\n", "g.add_edge(7,9)\n", "nx.draw(g, node_size=500, with_labels=True, font_size=16)\n", "plt.show()\n", "# plt.savefig(\"figure1.1.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### - Graph Attributes" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "{}" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.graph" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "g.graph['caption']='Figure 1. Simple Social Graph' \n", "g.graph['number of nodes']=9" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{'caption': 'Figure 1. Simple Social Graph', 'number of nodes': 9}" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.graph" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### - Getting Basic Information of Graph" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- multigraph\n", " - a graph permitted to have multiple edges that have the same end nodes, thus two vertices may be connected by more than one edge." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "g.number_of_edges(): 14\n", "g.size(): 14\n", "g.number_of_nodes(): 9\n", "len(g): 9\n", "g.is_directed(): False\n", "g.is_multigraph(): False\n", "g.has_node(1): True\n", "g.has_node(10): False\n", "g.has_edge(4,5): True\n", "g.has_edge(4,8): False\n", "g.nodes(): [1, 2, 3, 4, 5, 6, 7, 8, 9]\n", "g.edges(): [(1, 2), (1, 3), (1, 4), (2, 3), (3, 4), (4, 5), (4, 6), (5, 8), (5, 6), (5, 7), (6, 8), (6, 7), (7, 8), (7, 9)]\n" ] } ], "source": [ "print \"g.number_of_edges():\", g.number_of_edges() \n", "print \"g.size():\", g.size()\n", "print \"g.number_of_nodes():\", g.number_of_nodes()\n", "print \"len(g):\", len(g)\n", "print \"g.is_directed():\", g.is_directed()\n", "print \"g.is_multigraph():\", g.is_multigraph()\n", "print \"g.has_node(1):\", g.has_node(1)\n", "print \"g.has_node(10):\", g.has_node(10)\n", "print \"g.has_edge(4,5):\", g.has_edge(4,5)\n", "print \"g.has_edge(4,8):\", g.has_edge(4,8)\n", "print \"g.nodes():\", g.nodes()\n", "print \"g.edges():\", g.edges()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[[2, 3, 4],\n", " [1, 3],\n", " [1, 2, 4],\n", " [1, 3, 5, 6],\n", " [8, 4, 6, 7],\n", " [8, 4, 5, 7],\n", " [8, 9, 5, 6],\n", " [5, 6, 7],\n", " [7]]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.adjacency_list()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[2, 3, 4]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.neighbors(1)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{1: [2, 3, 4],\n", " 2: [1, 3],\n", " 3: [1, 2, 4],\n", " 4: [1, 3, 5, 6],\n", " 5: [8, 4, 6, 7],\n", " 6: [8, 4, 5, 7],\n", " 7: [8, 9, 5, 6],\n", " 8: [5, 6, 7],\n", " 9: [7]}" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dict((x, g.neighbors(x)) for x in g.nodes())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### - Graph Anlysis " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### - Graph generators and graph operations\n", " - Using a call to one of the classic small graphs" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFBCAYAAAA2bKVrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n7KMAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "petersen=nx.petersen_graph()\n", "nx.draw(petersen, node_size=500, with_labels=True, font_size=16)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFBCAYAAAA2bKVrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsnXlYVGX7x78so8AsILvggqbmGqS5ixtamWnuolZav1zL\nNDfM0jKtN7dKTX1dcssAS8lcwyV9s03NfcsF3BcSFJRlYGC+vz/ODA4wwACzgc/nus4Fc85zzrnP\nLM/32e77diBJCAQCgUAgsBqOtjZAIBAIBIInDSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+\nAoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFA\nIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBY\nGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+\nAoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFA\nIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBY\nGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBYGSG+AoFAIBBYGWdb\nGyAQCEpHSkoKkpKSAABeXl5wd3e3sUUCgcBURM9XIChHZGZmIioqCqEhIQj08UFYcDDCgoMR6OOD\n0JAQREVFISsrq8TXTUlJQXx8POLj45GSkmIBywUCgSFCfAWCcsLG6GjU9PXF6pEjMeHkSSRrNLiS\nmoorqal4oNHgvZMn8c2IEajh44ON0dHFXs9SQi4QCIrHgSRtbYRAUN6x9BDwoi++wPwPP8SPGRlo\nVkzZowB6u7lh0qxZeHfCBKNlNkZHY9zIkWhCYsyjR+iBx3NQGgDbACxVKHDG0RELly/HwPBwsz2L\nQCAAQIFAUCrUajUjIyPZLjiYcpmMQQoFgxQKymUytgsOZmRkJDMzM8t8n+ioKFZ3deU1gDRxuwaw\nupsbo6OiClxv4YIFrO7qyr9NuM7fuussXLCgRDYnJyczLi6OcXFxTE5OLvN7IBBUNIT4CgSlIDoq\nin4qFbsolYwBqDEQrCyAmwGGKRT0U6mMCqCpqNVq+qlUPJpPFBMBvg7QH6A7wMEAHxgRTj+VKk8D\nwNxCnt9WazRGBIKKgBBfgaCEWKPnqCcyMpJhCkWB674EsB/AVID3Ab4A8GUj9++sUDBKJ5qFCble\nzF8F6AewCsDOAE8WI+SGWKsxIhBUFIT4CgQlwJI9R2O0Cw7m5nzXSwXoCPCUwb7/AXQAeCNf2U0A\nQ0NCSBYu5NT1nJ8HmKwTyykAqxch5IZYszGSHzG8LSivCPEVCExE33P8DGA7gCqAzkYEZh3A2gDd\nALYEeNSEnqMxkpOTKZfJ8vQiCfCRTmhPGOz7RbdvW76yWQDlMhmTk5ONCrl+awxwhcHrf3TXSypE\nyPVYuzGi/xzE8LagvCPEVyAwEX3PMRZgNMDVRsT3IEA5wD064ZsLaSj3YRE9x8KIi4tjUCE91U4A\ne+l6qv8C7KITy++MlK0pl/PEiRNGhVy/fQgwDOA9gBkAJwBsX4SQk48bI28CrKVrjHhBGgI/rjsn\nG+AnuuMKgKGQeuylaYyQYnhbUHEQ4isQmEj+nuN+I+L7um7LI36QesPGeo6GZGRk8NKlS9y3bx/X\nrFnDcePGsaqzs1GxvAVwIMCqkHrZX+vEN9ZIWW+AHh4e9HVwKLQ3mgppntdB90y1db1fY0IeHx9P\n8nFj5B9d44IGwl1L93ouwKcBXtGJ4zSdzY9K0Rix5fC2QGBuRHhJgcAEUlJScPzcOfQsptwpAG/k\n2xcC4CSAzwG8fuYMvv32WyQlJeH69et5tgcPHiAwMBA1atRAjRo14Ovri2QSGgCyfNcMAGAYRmMH\nABcArfKV0wB45OAANwcHaMlC7e4K4FkAP+musw5AKIAzAHwNymnJ3MAbS+fMwXupqXja4HgOAAcA\ngbrXPwB4G0CQ7vVMAPMB/AhgTGoqFs6Zg3ATfIg3Rkdj/ocf4reMDNQotjTQDMBv6eloN306/AIC\nhJ+ywO4QQTYEAhOIj49HWHAwrqSm5u47AEm0NAbl6gCYDmCowb5hkMRzJQBfBwc0bN8eTz/9NKpX\nr54rtEFBQQgICIBMJoODg0PuuaEhIXjv5En0yWfPRQDeADwgBdUYAuA13b0N2QxgYUgIth04gEAf\nHzzQaAoIeSIkgf0HQD2D/d4AVgO5DQ4NACUArUwGPz8/3Lt1C6kknAFEAhgD4CGARgD2APAH0EJn\n2ziDa8gBvAvgPwCqyGS4de9ekUFJMjMzUdPXFzsfPsRmAFEAknTv6XOQGjUhurIfA1gL4AGAmgBe\nBfCFSoXr9+6hUqVKudcUcbEFtkb0fAUVCltXqkoA+SMjPwBQV/c/SZw4cQInTpyAVqtFTk5Ono0k\nHB0d4eTkBEdHR5DEHKCA+P4KYIbuXoEAxuq2/Mx3dMT99HT07NkTqkqVsE2jKXAtbwDVAXwNScgq\nAVgPIBXAMwbltgLwlMvRsmtXaDQaHL17F87Z2QCAwbotAZLQ9gbwJ4CXASwB0B1ANQAfQeodP4Qk\nnt6VKuH+/ftFfk4xMTForNWiKSThngrpfVYD+ED33sRDatyshNQoqgupFz8AwLPZ2YiJiUHv3r0R\nExODpXPm4Pi5c/CpXBkAcC8zE882bIgxERHo27dvHpEWCCyGTQe9BQIzYI3Vr/qVx1nFzPkOzTfn\nq4XksrPeyIIlY2i1Wmo0GmZmZjI9PZ2JiYn0VSqN+uaaMu/pLZdz37593L9/Pz/44AN2cHU1WvYE\nJFcjL0hBO54DuDVfmdbOznz66adZr149qlQqehdy3391c8dnAWZCcluqBdAX4FSAjQC+rysbUKkS\nFy9ezCNHjjApKcnoe1LYKu1UgBMhrTwnwLcBDspXpirASQCb1KwpFmoJ7AohvoJyjTVWv+bk5PCv\nv/5ibR8fbgaYo1tYFKsTX7XuNQH+BmlV7z7d/jmQolA9QvELrop6RnO48xQVZMMUITdcnWysMWK4\nGMwB4HUjx+4BdNW9d1kAXRwd2aNHD4aEhFCpVNLDw4NNmzZlv379OGXKFH711Vd0c3LK87l+p2sg\nOEBykbqj278bYDWA5yCtsv5BJ/i3AVYGeMDE5xQLtQTWQIivoNxiydWvGo2G+/fv59ixYxkYGMgG\nDRqwV69e7OjmxjW6it8BUrAL/V+9OK6HtFrYFZKf7zHd/s5KZYlW91riWc3pl9suOJibAC6G1Nsl\npCAfvSC5FBHgXUgrnakT4+6QXJoIqTGicnBg06ZNGRERwePHj/PevXs8dOgQo6Ki+Omnn7J///70\nc3Q0atddSCu+Wxnsm4LHK7blAH/U7a8BML6MzysQmBMhvoJyiSWCO2RmZnLnzp1866236OPjw6ZN\nm3L27Nk8d+4cSfP2HEv7zH4qFcMUCm5GwV7+Jp3AF9fLN5eQR0ZGsrNczpcg9TDlkNyqxkDq4erP\nrwsp4IgfwLEA03THQl1c+OKLL7JFixb08PAgADo5OTEgIIDPP/88Z8+ezRUrVrCGm1uh9umHuM9A\nGtJug8c97j90du2G5INcHcZ9kUdCGq0w3BwAKipXFsE6BBZDiK+g3FGYCE6BNJ+oAhgAcDikuMdF\niWBaWho3b97MIUOGsEqVKmzbti0XLFiQ68uaH1tEdDIkMzOTUVFRDA0JoVwmY025nDXlcsplMoaG\nhDAqKsokwTCHkJu7MZKdnc3Y2FiOGDGC9evXp0wmo4eHByvpbDJ2Hf0Q9zVIQ9DL8x3vC/BdSKMQ\n+tCb+X2R8297AMoAtnVzK/VIhUBQHEJ8BeWOwmIUT4O0cChb1/PqBrCnkcq1k0LBt99+m3369KFK\npWKXLl24dOlS3r5926T720uwh+TkZMbHxzM+Pr5UcY2LEnJ3BweuW7euWCG3ZGMkNTWVO3bsYC1v\nb26GtHitqCHu13T/39K9/gtSL/ddgzJEwYVa+be+uq20c/QCgSkI8RWUO4qKUWy47YLUC86/fxPA\naioV16xZw8TExFLZYK4hYHshv5C3bNmSv/zyi0nnWroxom9saYEih7iTAA6DtMJZCbAOwP9AitwV\nhYILtW4bse+OrterDw9a3Op0gaC0CPEVlCsKSzZgbJuEgvGJacZK1VxDwPbI1KlTOWPGDJPLm9IY\naenoSK9SDL+XeXgbksuTfp+xhVr6bbZOtPWvDcNpCgTmRIivoFxRVLKB/L1bJR4vqsm/mbtSLesQ\nsL3x888/MzQ0tETnFNcYiYiIYL169ZiVlVVie0o9vA0pCUb+Y4a+yPp9Obre9Nwyfk9EmkOBKYjw\nkoJyhbEwj/n5AcAoADEAOhRSxt/JCS+9/jrq1asHf39/+Pv7w8/PD/7+/vDx8YGz85Md/C01NRX+\n/v74999/4ebmVuLzU1JScP/+fQCAp6cn3N3dQRLPP/88+vTpg9GjR+eWMzUi2aIvvsD8Dz/EjxkZ\naFbM/Y8CeAFSBKz3jBy/DSni1jVI0b0AYCekaFm3AHhBCoVpSvhLQAqBKaJnCUrCk13DCModXl5e\nuJeZaTTZAACsATAJwHYArQu5hgZSeMOnnnoK9+/fx7lz55CQkIC7d+8iISEBSUlJqFKlSh5B1v/N\n/7+XlxccHR0t87A2RKFQIDg4GH/++SfCwsJKfL67u3sBwXJwcMC8efPwwgsvoHLlylizaFGJhOrd\nCRPgFxCA7iNHorFWizGpqeiJx5WYBlIIzKVKJc46OMDbwwM1r18HIYW4HAjAB8BNSKE42+Gx8ALA\ncgB9IQkvdNdqXLduscK7MToa40aORBMSEx49Qg8AzhpNrk3bTp7E0hEj8N6oUVi4fLlI8iAAIBIr\nCMohhSUbWATgEwCxQJE9I32ygV+PHzd6PDs7G4mJiXkE+e7du3n+1/9NSUmBj4+PUXHOv69KlSp5\nkibYOx988AEcHR0xa9Yss11zY3Q0Rrz+OoIdHPBeVpYkVLpjGgDbACxVKHDG0bFQocrKysrtZR47\nexbeOpFOzMpC00aNMCYiAn369MHmzZvxzYgR2JOaipcB/A0gDVIs6+6QMix56655C1LmpV8gZXMC\ngHYyGU5UqoTnn38e48aNQ/v27Qt8fiXtjfd2c8OkWbPw7oQJJXjXBBURIb6CcgVJTJ48Gb9/+SX+\n1GrzHHOE1Bs27C85QOrlGhKmVGL4ihUmpbIrjqysLNy7d69QkTb8PyMjA76+vkZ70PkFW6lU2lyo\n9+7di48//hi//fabWa5nCaEyNrytxzAbUtMS2noUQDeFAv9cu4bo6GgsWrQILi4uGDduHAYNGgQX\nFxdsjI7G5DffNDnNIQBcB9DOzQ3zvvlG9ICfcIT4CsoN+/fvx7Rp0/Dw4UMkXL2K3enppapUuxtJ\nMWcN1Gp1gZ5zYb3qnJycIoe8Df/K5XKL2Jueng5fX18kJCSU+R62EqrS3rcpgGQnJ1StWhW9evXC\n888/j5ycHPz3v//F8ePH8eabb2L1kiXY9ehRsWkO4yBNhezXva4BIEGpxI3ERDEH/AQjxFdg9xw6\ndAgffPABrl69ik8++QQDBw7Eph9+qNC9jtTUVCQkJBQ55K3/39nZuViR1v9fWTe/aiqhoaGYMWMG\nunbtWupn0fdAxz18iJ0ATgFIR948yCchpQo8ASkt4UEAbWGexlJpetzjP/oIKk9PzJw5E87OznB3\nd0dcXBxatGiBZ599Fr///jv411/4C8AFAAHIm+bwR0hpDu8BCIa0APA9AAoAxwFMkssxYtUqs4y+\nCMonYsGVwG45ffo0pk+fjqNHj2L69Ol44403IJNJy6wGhocj4fZttCvFMKa9Cy8gLXhSKBR46qmn\niixHUhoJMCLShw4dyrNP34MtbiGZn58ffH19IZPJ0LFjR+zfv79M4qvPx9sMQG1IwjsiX5nKAPoB\nmA2gOaTpAkCau2+k1SImJqbUQlXShVqGc83Dhg3Dxo0b8emnn6J+/fpo06YNkpKScOnYMazQnf+0\nwb1ydLYH6l5/AWkueYZBmaYA3k5Lw8I5c4T4PsGInq/A7rh8+TI++ugj7N27F1OnTsXo0aPh4uJi\ntKx+pWlJK9UnEa1WiwcPHpi0kCwxMREeHh6Qy+VITk5G9+7dC52r9vb2hpOTU6H3zb9A7gCArsjb\n8zXEEcBvANroXhe3QM5UTF2oZayHrdU1AGbPng2tVou4c+eQkpOT+12LBDAG0vqCRgD2APAH0ArS\nMHM6gD8huTdFAOgP092YBBUTIb4Cu+HGjRuYNWsWYmJiMH78eIwbNw5KpbLY88pSqQqMk5OTg6Sk\nJFy9ehUdOnTAokWLkJycbFSwk5OT4eXlZbQHrVKpMG7UqDxCdQAlE9+S+NuaSlELtYqCJFatWoXp\no0bhbr4Ff4A0ZD4Okv/wnwDqALgK4HsAvSCtpu4BYC+AIXI59p8+jVq1apX5eQTlDzHsLLA5//77\nL/7zn/9g/fr1GDFiBC5evAhPT0+Tz69UqRLCw8MRHh5e6kpVkBcnJyf4+vrC19cXLVq0QI0aNTB8\n+HCjZTUaTYEV3wkJCbh+/TouX74MJVmmikYGwLtSJdy/f99sn6cxP2RTcHBwQFhYGD5zcwOMBHrx\nA7BY9/csABWkRoS+198FwIuQRmQETzZCfAU2Izk5GQsWLMDSpUsxePBgnDlzBlWrVi3TNUtbqQoK\nRz/v+8ILLxg9LpPJEBAQgICAgALH9BHJjAlVeaW4QC/6Hr0K0orny/mOU7clZmWVqJEpqFhUvNA8\nArsnLS0Nn3/+OerWrYtbt27h6NGjWLx4cZmFV2AZOnXqhAMHDpTqXEOhKi0a2JdQubu749mGDbEN\nkoh+DWlVMyBFz3obj6NnjQTwF4CfAGghuRvtAVAFQNNGjYpsKKakpCA+Ph7x8fFISUmx1OMIbIQQ\nX4HVyMzMxOLFi1G3bl0cP34cBw8exOrVqxEUFGRr0wRF0KpVK5w5cwaPHj0q8bmGQqWF5IqTpTuW\nqXutRw0gI98xLaQh2kZ16tjViMaYiAgsVSgAALsANIbkRtQOkttRjK5cS0iLsSIg9YTHAVgPYK9S\niTEREQWum5mZiaioKISGhCDQxwdhwcEICw5GoI8PQkNCEBUVhaysrALnCcoh1s7kILAPrJl5RaPR\ncPXq1axZsyZfeuklHjt2zKL3E5ifjh07cufOnaU6V5+Pd40uk5ADQEeDv9cAXjFyzAHgOoBtZTIq\nlUp27dqVmzZtKlVWJHNT1jSH3nJ5gXST+rSMXZRKxhhJy7gZYJhCUW5yRAuKRojvE4RarWZkZCTb\nBQdTLpMxSKFgkEJBuUzGdsHBjIyMNGv+2ZycHG7cuJFPP/0027dvz99++81s1xZYl5kzZ3Ly5Mml\nOrfM+XhVKqakpHDDhg0MDQ2lv78/p02bxitXrpj3IUtIadMcBlSqRJVSyXnz5lGr1ZIkFy5YwOqu\nrvzbxPekupsbFy5YYNPnF5QNIb5PCNZsVWu1Wu7YsYMhISFs1qwZY2NjcysZQfnkf//7H5s3b17q\n80udj9fNrcD38ezZsxw3bhy9vLz44osv8scff6RGoynrI5aKkoqmn5MTla6uHD58OJs2bcoePXpw\n1cqVZntvBOUHIb5PANZsVR84cIBt2rRhw4YNGRMTI0S3gqBWq6lQKMo0RWHu72F6ejrXrVvHNm3a\nMCAggNOnT+e1a9dKbV9p0TdswxQKbjbSsN0EsLNSmduwvX79OseOHUsPDw8+88wzdHNw4FGA0wDW\nAqgC6AXwBYDHjbw3UyANyc/SjQqYc7RKYD2E+FZwzNnjKIrDhw+za9eurFWrFtevX8/s7GwLPpXA\nFnTu3Jnbtm0r0zVKKlSmcurUKb7zzjv09PRk9+7duXXrVqt+BzMzMxkVFcXQkBDKZTLWlMtZUy6n\nXCZjaEgIo6KiCojknTt32L17d7bQPf8/AB/q/s8AOEEnxoa/zUMAnwEYCPA7gJ0VCkaJ3m+5RIhv\nBaawuTZTWtj6ubbiWtVnzpxh7969GRAQwGXLlolWeAVm1qxZnDhxYpmvUxqhMpXU1FSuXr2aLVu2\nZLVq1fjxxx/z5s2bZba5JCQnJzM+Pp7x8fHFjhS0Cw7mZiMN4FSAEwG2M9inBtgE4F8Ag3Tiuwlg\naEiIlZ5MYE6E+FZg9KtM8/+wTWlhs5hW9eXLl/nqq6/S19eX8+fPZ3p6upWfTmBtDh48yKZNm5r1\nmiURqpJy/Phxjho1ilWqVOErr7zCnTt32tWITHJyMuUyWZ7e/3cA3XXDyo0B3jY4NhXgeN3/evHN\nAiiXySzusSAwP0J8KzCFtaqLa2HrN2Ot6ps3b3LkyJH08vLixx9/zJSUFBs9ncDaZGZmUqFQ8MGD\nB7Y2pUQ8evSIK1asYLNmzVizZk3Onj2bt2/ftrVZjIuLY5CRxjEB3gU4EGAr3esjAOsATMsnvgRY\nUy5nfHy8rR9HUEJEkI0KSkpKCo6fO4eehRyPBOABKQdpLKTA7/npCeDY2bNISUlBYmIiJk2ahGee\neQYqlQoXLlzARx99BJVKZaEnENgblSpVQqtWrfDrr7/a2pQSoVAoMHz4cPz999/YvHkzrl27hoYN\nG6Jv377YvXs3tEYSJNgafYzoQwBOA3gDwBIAbgZlaAO7BOZDiG8FJSkpCT6VKxcavHswgGQAdyCl\nQOtjpIw+oP306dPx9NNPIyMjA6dPn8bcuXPh5eVlIcsF9kxZQk3aA82aNcOKFStw7do1dO3aFRER\nEahbty4+//xzJCQkWNWW4kJv6vc/AHAOwBAAPrrtBoDRun32FHpTYDpCfJ9wDFvY54wcT0tLw82b\nN3HkyBEsWbLEaPB8wZODPslCeUelUmHUqFE4duwYoqKicOnSJdSvXx8DBgzAvn37rNIbNjVGdCiA\n6wBO6rYTkEJY/gfA8yg+RrTAPhH5fCsoKSkpCPTxwQONxmjmFUNuQ0ryfQ1SMHg9GgAezs64nZgo\nftwCAFL6QC8vL1y9erXC9bZSUlKwYcMGLF++HBkZGRg5ciSGDRsGb29vi90zKioK34wYgT2pqXgZ\nwN8A0gB4A+gOYKbu//zUAvApgG+USgxfsQLh4eFGnycpKQmA1MsWv2H7QvR8KyiGrWpDimphV89X\ndiuAAC8vXLhwwS7nxQTWRyaToU2bNuVu3tcU3N3d8fbbb+PkyZNYv349zpw5g7p162Lw4MH43//+\nB0v0U/r06YMzjo44DmAHgAQAqQCuQprjLUz2rwB4GsBZBwf06fN40kgkZig/CPEtxxSXcsww84oh\nRWVhMWSxqysatGiBYcOGITAwEG+99RZ++uknpKWlmfdBBOWKjh07lut53+JwcHBA69atsXbtWsTH\nx6NVq1YYM2YMGjZsiC+//BL37983270qV66MhcuXo5erK66X4LzrAF4E0P/111GpUiUAwMboaNT0\n9cXqkSMx4eRJJGs0uJKaiiupqXig0eC9kyfxzYgRqOHjg43R0WZ7BkEpsfFqa0EJKUlyBHMEtNdf\n69KlS/ziiy/YqVMnKpVKvvTSS1y2bBlv3Lhhy7dDYAP++usvPvPMM7Y2w6potVoePHiQQ4YMobu7\nO1999VUePHjQbOFTSxp6s5qLC/28vCiXyxkREcGv5s8XiRnKGUJ8yxGlSY4wZfJkegNmDS/54MED\nRkVFcfDgwfT09OSzzz7LGTNm8MiRI8zJybHmWyKwAVlZWVSpVExMTLS1KTYhMTGRCxYsYL169diw\nYUMuXLiQ9+/fL/N1Sxp6My0tjeHh4ZTJZPR1dBSJGcoZQnzLCaUJSt+/d2/6+/tzwrvv0s/JySKt\nYo1GwwMHDnDixImsV68eAwICOHz4cG7dupVpaWkWflcEtqJbt27cvHmzrc2wKVqtlvv372d4eDjd\n3d05dOhQ/vHHH2XqDRcWetPV0ZG1fXwKhN5Uq9Ws4uJSbGKGNZCiZikMthchEjPYEiG+5YDSJkfw\ncXDgwoUL+dlnn9GlcmW6OTgwtHJlswa0z8+FCxc4f/58dujQgUqlkj169OCKFSvsIqKQwHzMmTOH\n77zzjq3NsBv+/fdfzp07l3Xq1GGTJk349ddflznko2Hoze3bt7Nly5YFyhiGkC0qbOwagHWN1BMi\nMYPtEOJr5xQ1b5sNcBJAH4BKgH0BJubrxSqdnQmA48ePzx0utkRAe2MkJSXxu+++Y3h4OKtUqcLn\nnnuOM2fO5LFjx0SqwXLO4cOH2bhxY1ubYXfk5ORw79697N+/Pz08PPjmm2/y0KFDZf6+p6am0s3N\njWq1Os9+UxMzrIEUntKUELIC6yD8fO0cvR/g3tTUAsc+BbAeUnhITwBvAkgHsNOgTEsHB9QdPBgb\nNmzIc25KSkruqk1PT0+L+wBqNBr89ttv2LZtG7Zt2wa1Wo2XX34ZPXr0QOfOneHi4mLR+wvMS3Z2\nNry9vXH06FE4ODgAEL6k+UlISMCaNWuwYsUKuLu7Y+TIkRgyZAiUSmWprte0aVMsXboUrVq1AvDY\nlz9Zo8mNZBcJYAyAh5Ai1+0B4A9gLYBRAKpAilzXFlKQjkAAVWQy3Lp3T3x21sbW6i8omqKSI9QA\nuNrgdZxuXud6/pZtcLCtHyMPWq2W58+f59y5cxkaGkqVSsVXXnmFq1at4p07d6xqS3JyMuPi4hgX\nFycyw5iIfsV9oFJJNyenIlfcC6TecGxsLPv06UMPDw8OHz6cf//9d4mvM3r0aH755Ze5r0uSmCEe\n4CWDY8PwOFGDSMxgG4T42jHGUo7ptwc6oT2Zb787wG355nPtPeVYYmIiv/32Ww4YMIAeHh5s0aIF\nZ82axRMnTlhkeLok7lqCvJRmxb3gMbdu3eKsWbNYo0YNPvfcc1y5ciUfPXpk0rnr1q3jwIEDc18X\nJb4E+K9BAeFOAAAgAElEQVSujjhr5JgGoBzgL0J8bYYQXzumqB/Xdd0P62q+/TXxONVY7r5y9OPK\nzMzk3r17OW7cONauXZs1atTgmDFjuGvXrgLzXaVBiEfpKc2Ke+FLapzs7Gzu2LGDPXv2ZJUqVTh6\n9GieOHGiyHMuXLjAmjVr5r7WN86zCvkMbhkZCcsvvrHloHFeURHia8cUJb6m9nzLm/gaotVqefbs\nWX7++eds27YtVSoVe/fuzdWrVzMhIaHE1xPiUXpKu+Je+JIWz40bN/jxxx+zWrVqbNmyJVevXm3U\nTU+r1dLT0zOP54B+WkoLcLGut0uANwD2Ahiqe71dt08LMAngcDzOCSwWXNkGIb52THEt25rIO+d7\nWSfIhhVkeRh2NpV79+5x3bp17NevH93d3dmqVSt++umnPHXqVLHD00I8Sk9hK+4bIq/fqKvu+3fc\noEz+SGmCwtFoNNy6dSu7d+9OT09PvvPOOzx9+nSeMt26dWNMTEzua72rkRbgSwB9dT3amgDHALyn\n+xwmAwzQHasKsD+kOeDOSqVwNbIRQnztnKIWXH0K8GmAVwAmA+wDsFu+MhXVlUCtVnP37t0cO3Ys\na9asyaCgIL7zzjuMjY0tMDytF4/PILleqAA653ufcgB+AskvUqHrMZwS4kEyry9pUdsHABsb2S98\nSUvOtWvXOH36dAYEBLBNmzZct24d09PT+cknn3DKlCm55cwZQlZgXYT42jlFVXw5kPx8vfHYzzcp\nf8X3BLRstVotT506xU8//ZStWrWiu7s7+/bty7Vr1/Lff//NfQ9jAUbrRgvyi+9cg4ZMFqRoQVUB\nPhLiUWQD0HAO0R/S0Gf+YxW1AWgNNBoNf/zxR77wwgv08vJir169+Nxzz+UpU9ZRHbHi3zYI8bVz\nRMu25CQkJHD16tXs3bs3VSoV/dzc8ojHfiPi2xzgonxiUgng+idcPIpacW+4/QDQDWCKkWMVaerD\nlsTHx/O9996jg4MD27Vrxw0bNjAjI4NkKdYzuLpy6JAhYsW/DRHiWw4Q85Wl5+7du3RzcsojHoWJ\n71f5BEMGKUrQkywexbmz6LcuAN8s4nh5XfRnjzRo0IBz585lly5d6O3tzQkTJvCff/4xOTGD3NGR\ncmdnseLfxoh8vuWAgeHhmDR7Ntq5uuKoCeWPAmjn5oZJs2ZhYHi4pc2za9LS0uDr6pobAagwXoaU\nvPwyADWADwHkQIoUJAPgXamSWfO4ViTiAPwCKYKSwPK0bt0aCoUCe/bswZ9//glnZ2e0b98e/12+\nHPOXLMHQpUvxVUgIPGQyBMnlCJLLUUUmw8KQEFR/5RV4yGT4X3Y29jx6hN5Ant+GDEAfAHtTU7Hj\n4UNM/r//w6IvvrDNg1ZwRHjJcsTG6GiMGzkSjbVajElNRU88/uFoAGwFsFSpxFkHByxcvvyJF14A\niI+PR1hwMK4YhOc8AKArpPdMTxaA6QB+AJAGKVTnNgA9AXwGIEgux/7Tp1GrVi0rWW4f6EMYPtBo\nICukzBQA+4BCG4YaAAoAnv7+qFevHurUqZNne+qpp6BSqSxhfoVk5cqVOHjwINavX5+7LzMzE1u2\nbMHy5ctx9uxZDBs2DOHh4fDw8AAghZD9edcuTH7zTfyWkYEaJt7rOqSG/LxvvhH1iZkR4lvOyMrK\nwtSpUxG9ciUepKfD3cEBLi4uSMzKQtNGjTAmIgJ9+vRBpUqVbG2qXWBMPA6goPjmJxFADQBbAHTC\nkx3/NjQkBO+dPIk+Ro5lAagGKc748ELO3wzgq+BgfLd1Ky5fvlxgi4uLg0KhKCDKdevWRZ06dXIF\nRCBx5swZ9OnTBxcvXjR6/OLFi1ixYgXWrVuHkJAQjBw5Ei+++CLqBAZi3MOH2AngFKQ48Ia/gfUA\nlgM4D8AJQHMAcwFkAuiuUuH6vXuiXjEjQnzLIYMGDYKHhwd27tyJrVu3QqVSWSU5QnlFLx69IInF\nrwC6A0gFQAAuABIAZAAIAnADwGhIw897IYnHgsaN8cfp09Y33g6IiorCqhEjsM9Ico9oSMPNtwG4\nFXJ+mFKJ4StWILyQnhNJ3Llzp4AoX7p0CZcvX0blypULCLN+8/Lyyk3s8KSQk5MDT09PxMfHw8vL\nq9ByarUaMTExWL58OU6ePIkmGRmYnpWFB5CEdwTyiu9SAE8DaANJfD8BsBrStMLLCgWGr1xZ6Gco\nKDlCfMsZGRkZ8PPzQ+XKlbF161a0bt3a1ibZLVqtFvv27cOHH34Ih8OHMQrScDIAOEASXgcAVwDc\nAzAIwC0ASgADAHwOSVDaODvjhEyGl156CcOGDcOLL74IZ+fiZpErBhqNBosXL8b0SZNwkETTEp5/\nFGXrNZHEv//+a7THfOnSJQAw2luuU6cOfH19K6wwd+nSBSNHjkSzZs0AFJ9Rqnn9+nj/woXc0YsD\nKH70Rw3p+38MkgAvDAnBr8ePm8F6ASDEt9yxadMmvPXWW5gyZQqmTZtma3Pskjt37mDNmjVYtWoV\n3N3d8cYbb+DTDz/ErkePSi0epy5dwpYtW7B27VrEx8fj1VdfxbBhw9C4cWNLPIJdsGvXLkyYMAHV\nq1fH8127YtFHH9nVfCFJ3L9/36gwX758GWq1utAec9WqVeHoWP7Wm2ZmZiImJgYzxo/HrcRE+LlJ\n4w33MjPxbMOGGBMRgb59++Zp6BhLPXgAxYvvDgDhAO4CqIQne+rFIthkjbWg1DRp0oT16tVjdna2\nrU2xK7Kzs7lz50726tUrN23bkSNHcsNOmtNd659//uH777/PwMBANmvWjIsXL2ZiYqItHtsinDt3\njt26dWPdunW5bdu23PewvMXGfvDgAY8cOcKoqCjOmjWLQ4cOZdu2benn50dXV1c2btyYvXr14qRJ\nk7h8+XLu27eP165dY05Ojs1sLorSJgUx5i5mzN3OcLsAKVTlcuEuZjGE+JYj9uzZQwcHB548edLW\nptgNN27c4MyZM3NTtK1YsYIPHz40Wtbc4pGdnc3Y2FgOGjSIKpWKffv25bZt26jRaCz1uBYlKSmJ\nY8eOpbe3N7/44gujQRZM9SW1dx/Rhw8f8vjx4/zhhx/4n//8h//3f//HDh06MDAwkC4uLmzQoAF7\n9OjB9957j0uWLGFsbCzj4uJs9tmW5btbUvE9CzAQ4Dzhq21RhPiWE5KSkujt7c0mTZrY2hSbow9A\n//LLL+emYzt27JhJ51pKPB48eMDly5ezdevW9Pf356RJkwoExbdXsrKyuGjRIvr4+HDMmDG8d+9e\nkeUzMzMZFRXF0JAQymUy1pTLWVMup1wmY2hICKOiosp1dKS0tDSePn2aP/74I+fOncsRI0awc+fO\nrFGjBitXrsy6deuyW7duHDt2LBctWsSdO3fy4sWLzMrKsog95ggfmT9BS2Hie1TX412Sb/+THGjG\nUog533IASfTt2xdnz57F+PHjMXr0aFubZBOuXbuGb775BqtXr0b16tUxYsQIDBgwAHK5vETXycrK\nQkxMDJbOmYNjZ8/CWzc/Zi53rX/++Qfr1q3D+vXrERAQgGHDhmHQoEHw9PQs1fUsiX5et1q1avjy\nyy9LPIedkpKSG3zkSVhxr1arceXKFaNzzDdv3kS1atWMzjHXqlULLi4uJb5fZmYmavr6FukiZEgE\ngHkAvgVQH48Xu4W1aFHsiv/fIQWbmQ/g//JddzPEgitzI8S3HLBs2TIsX74cV65cwcWLF+Hn52dr\nk6yGRqPB9u3bsXLlShw6dAhDhgzB8OHD0aRJE7Nc35LikZOTg71792Lt2rXYuXMnnn/+eQwbNgwv\nvPCCzVdLnz9/HhMnTsTly5fxxRdfoHv37hV2ZbC1yMrKwrVr14y6S127dg3+/v5GV2XXrl0bbm7G\nHbWioqLwzYgRmJKaWqiLkJ7DkHytkyD55w4GEKZzESKJb0aMwKupqUZX/McDeAOSKLvmu+7PAGYU\n4y4mKDlCfO2c06dPo3Pnzvj444+xadMm7N+/39YmWYUrV65g1apVWLNmDZ566ikMHz4c/fr1K7SS\nsneSk5OxceNGrF27FlevXs1dLd2oUSOr2nH//n18/PHHiIqKwrRp0/D222+LwAlWIDs7G9evXzfa\nY75y5Qq8vLyM9pjHvPYaJp05U6yLUCakoBgrIa1Q/hSS+Op7rHv++gs1fX2x8+FDq7uLCYwjxNeO\nSU9PR/PmzTF58mTs2bMHbdu2xZgxY2xtFlJSUpCUlASgeP/CkpCVlYWtW7dixYoVOH78OF599VUM\nHz4cDRs2NMv17QXDYenAwMDcUICWHJbWaDT473//i1mzZqF///6YOXMmvL29LXY/genk5OTg1q1b\nBUT5woULuHzuHNKAYl2E3ofkl/slgFp4LL4aPHYREuEl7QxbTTYLimfEiBEcPHgw09PT6eHhwTt3\n7tjMFrVazcjISIukILt48SKnTJlCPz8/dujQgd99911uqrSKTHZ2Nn/++WeGh4fT3d2d/fv3544d\nO8y+onbnzp2sX78+u3TpUm4WgQl0q5Tl8mJXKR8BWAdgmu51EMDvClmlXN7cxSoyQnxtRHEJrL//\n/ns+9dRTTElJ4ZYtW9ixY0cbWClRWv/ColCr1YyKimKnTp3o4+PDSZMm8Z9//rHwk9gv9+/f57Jl\ny9iyZUtWrVqVkydP5tmzZ8t0zcL8dQXlA1NchDIBNgYYa7AvCOCGIlyETFrxL1IKWhwhvlbE1N7j\n1atX6ePjw8OHD5MkBw8ezCVLltjEZnO3lM+fP88JEybQx8eHYWFh3LhxI9VqtRWfyP45d+4cIyIi\nGBAQwObNm3PJkiVMSkoy+XxT/HUF9o8pLkJXADoC9DbYnAAqAb5ahItQUe5ivq6unD59uvjeWBgh\nvlaiJL3HenXrcu7cuSTJjIwMuru722TI2VxRodLT0/ntt9+yffv29PPz49SpU3n58mWrP095Q6PR\ncNeuXRw4cCDd3d05YMAA7ty5s9Bh6ZL66wrsn3bBwdwMMAdghq6H6wxQrXudA/CWwXYTYHWAXwO8\nr+vFhoaEFHmP5ORkxsfHMz4+nsnJyfzkk0/47rvvWukJn1yE+FqBkvYefR0d+dX8+STJLVu2sEOH\nDla3Wa1W00+l4lGdXTkAWwN00P3ICXCN7rXCYBusewY/lYrHjx/nuHHj6OXlxRdeeIGbNm0SrelS\nkn9YesqUKXmGpcW8bsUkMjKSYQpF7m/NQdfT1f811jA2nPPtrFQyqoRDx2fOnGH16tXFNIWFEeJr\nYcraexwyZAi//vprq9ut/9HrbZoPsIvuB28ovnULeYZWjo6sUqUKP/zwQ165csXq9ldkzp07xylT\nprBq1aps0qQJGzZsyNq1a3Pr1q2iwqxg5G8El2TTN4JL2uDVarWsW7cujxw5YqGnEpBCfC2K/ofz\nGcB2AFUwHtLtI4A1dceb6IaK9D8cWw0564e7CCnI+lMATxjp+dYp5Ie/CWC74GCr2/2kkJSUxLff\nfpsqlYohISFUqVTFDksLyielbsC7upZ6wVRERASnTZtm5icRGFL+cmqVI2JiYtBYq0UzAO8A+MpI\nmZW6bQ+AFACzIPnnKQA8nZWFqlWrwt/f31omA5D8eI+fO4eeALSQcuAuAGDMm/cGgKoAakDKh3tV\nt78ngOPnziElJcXyBj9B6PPr1q9fH1qtFpcvX8bx48dx5coVdOzYER9//DFq1KiBiIgInD9/3tbm\nCszAwPBwTJo9G+1cXXHUhPJHATR3coLf00+j/4ABpbpn7969ERMTU6pzBaYhxNeCLJ0zB2NSU/E8\ngIGQnN/zcwpABwB1da9fAeAF4CyAd9VqODx6ZFEbs7OzkZKSgjt37uDy5cs4efIkdu/eDU8nJzgD\nWAggQGdXfjoAOAPgDoAjkOLDdoUUAk8GwLtSpdzQjYKys2vXLjzzzDPYunUrfvnlFyxduhQ+Pj4A\npNCYo0ePxqFDh7B3714AQFhYGFq2bIlly5bhwYMHtjRdUEbenTAB81avRneVCl0UCsQAyDY4roEU\nzSpMqUR3lQrz16yBq1KJiRMngqWIo9S8eXM8evRINOAsiIhwZSFMTWC9B1LPcjeAegB+BPA2JPF1\nB1DF2RkXrl6Fs7Mz0tLSkJaWhvT09Nz/S/PacF92djbc3Nwgl8tzNycnJ9w5fRq/5eSgE4C/AfhB\n6tXWhtTbDTTyzNkAPABsA9AJQJBcjv2nT6NWLWPNDoGpGMZhXrBgAV5++WWT4jBnZ2djz549WLNm\nDWJjY9GtWzcMGzYMXbt2hZOTkxUsF5ibkiQFSU5ORmhoKF577TVMmTKlxPd65513EBAQgGnTppn7\nMQQQ4msx4uPjERYcjCupqbn7DsB4aDh9JhInAJUBbADQS3fMG0CaiwuUSiXkcnkBoSzudXFlKleu\nXKAi1zccFmo0eBuAUrdfC+ABgCqQwteNyvccevHdCiAUj8PaVfRMN5bCnHGY79+/j+joaKxduxa3\nbt3Ca6+9hqFDh6JBgwZmtlpgLUxJCnLr1i20bdsWn3zyCV5//fUSXf+XX35BREQEjhw5YhZ7Bfmw\n6YxzBcbUBNZTAbYBeF33+g9I+TR3w3h0GmvRLjiYkcjrQ/iXbsHVUYCpALcDvAFQCzAJ4HCdm0Ma\nTPMvFBjH0F939OjR/Pfff816/TNnznDy5Mn09/dny5YtuWzZMt6/f9+s9xDYD+fPn6efnx937txZ\novM0Gg29vLx47do1C1n2ZCPmfC2El5cX7mVmFpp3U892AEMBVNe9bg2p17gTUg85MSvLJnlgx0RE\n4BuFAgFA7uYHKf2YPwA5gP8BaAmpZ9wYQDKkYXQ3AEsVCoyJiLC63eWdouZ1zUWjRo0wd+5c3Lhx\nAzNmzMAvv/yCoKAghIeHIzY2Fjk5OWa9n8C21K9fH1u2bMHQoUNx6NAhk89zdnZGjx49sGXLFgta\n9wRja/WvyBQXnYYAXwMYauC+8xdAL0ixWW3Zeyyrf6Hc0ZH79u2zie3lEcM4zLbw101KSuKSJUvY\nvHlzBgQEcOrUqTx//rxVbRBYlu3bt9Pf379EMdS3bt1qkyA/TwJCfC2IKdFpkgAOA1gVUjzWOgD/\ng9JHpzEnZQkQ8t748QwMDOQbb7whwhwWgT3GYTYclm7VqhX/+9//8sGDB7Y2S2AGVq9ezaCgIN66\ndcuk8vrwtuae+hAI8bUoZe09erm62rwyLktihZSUFI4fP56+vr5ctWoVc3JybPos9oSl53XNgUaj\n4fbt29mvXz+qVCqGh4fz559/ZnZ2tq1NE5SBzz77jM8884zRbGrG6N+/P1etWmVhq548hPhamNL2\nHgMrV6aXlxenTJli84hFJqUgUyoLTUF27NgxtmjRgm3bthVxh/k4DnNYWBhPnTpla3NMIjExkV9/\n/TWfe+45BgYGcurUqU90CsjyjFar5dixY9mhQweT8mZHRkbypZdesoJlTxZCfK1ASXuPVWUyLlyw\ngPfu3WOXLl3YqVMnJiQk2PQZikpBFhoSwqioqCJ76dnZ2Vy2bBm9vb05ZcoUpqamWtF6+8DW87rm\n4vTp05w0aRL9/f3ZunVrLl++XAxLlzNycnI4YMAA9u3bt9iRjJSUFCqVSqakpFjJuicDIb5WwtQE\n1q4Aly5dmntednY2p02bxurVq/Ovv/6y4RM8Jn8KspJw9+5dDhkyhDVq1OBPP/1kIQvti6SkJL77\n7rv09vbmggULbD6VYC4Mh6Xd3d05aNAgxsbGmn1YOjk5mXFxcYyLiyvx901QOGq1mp07d+aYMWOK\nbQh269bNputPKiJCfK1Icb3HyZMns02bNkbP3bJlC318fLhs2bJy22MyZO/evaxXrx5feeWVCutH\naDivO2rUKLuc1zUXiYmJXLx4MZs1a8bAwEC+//77ZRqWVqvVjIyMZLvgYMplMgYpFAxSKCiXySQf\n9MjICtOIsSUpKSkMCQnhrFmziiy3cuVKDhgwwEpWPRkI8bURxnqPr7/+OhcuXFjoORcvXmTjxo05\ndOhQpqenW8tUi6FWq/nJJ5/Qy8uL8+bNY1ZWlq1NMhu7du1igwYNytW8rrk4deoUJ06cSD8/v9xh\n6ZL0WPWjRF2USsYYGSXaDDBMoSh0jYGgZNy5c4e1a9fmypUrCy2TkJBAd3d3k+aIBaYhxNdOUKvV\nrFKlCm/evFlkudTUVA4aNIghISGMi4uzknWW5dKlS3z++efZuHFj/vbbb7Y2p0ycP3++QszrmoOs\nrCxu27aNffv2pUqlMmlYuiyr6wWl5+LFi/T39y9yKqh9+/bctm2bFa2q2AjxtRO2b9/Odu3amVRW\nq9Vy4cKF9PX15Y4dOyxsmXXQarXcuHEjAwIC+NZbbzExMdHWJpWIijqvay4Mh6WrVavGadOm8cKF\nC3nKlMWvXPSAy86RI0fo4+NTaAP4yy+/5BtvvGFlqyouQnzthKFDhxY55GyMgwcPMiAggB999FGF\n8aFNTk7m2LFj6efnxzVr1th9z/FJmtc1F4bD0m3atOGKFSuYkJBAt0qV+BRAFcAASLHC7+cT23UA\nawN0A9gSUpzxvwH6qVSiwWMGYmNj6evryzNnzhQ4dvXqVXp7e9vc9bGiIMTXDjB1yNkYt2/fZmho\nKLt168akpCQLWGcb/v77bz733HNs3749z549a5F7lHUV7ZM8r2sO9MPSffr0oaurKwMdHHgCYDbA\newC7AexpILwHAcoB7tHN/c4F6Afwoc5TQKzGNQ8bNmxg9erVef369QLHmjVrxl9++cUGVlU8hPja\ngPyV/vbt29m2bdtSXy8rK4vvvfcea9WqxWPHjpnRUtuSnZ3Nr7/+mt7e3nz//feZlpZW5muaYxWt\nfl63Tp06/Omnn+y+d14eaNWoETfn6+Xu0vWC9a9f122GZWrqesMii5Z5mT9/Phs2bFigQT979myO\nHTtWuH+ZASG+VqKoSr9GlSp87bXXyjxsFh0dTW9vb65du9ZMVtsHt2/f5qBBgxgUFMTt27eX+jpl\nXUWrn9f18vLi/PnzxTCnmUhOTqZcJsvzeRDgJIDtDV6HAFyYr8wrACfoPj+5TCaEwIxMnDiRbdu2\nzfWsUKvVnDdvHj2dnYX7lxkQ4msFTKn0O8nlZnGdOHPmDOvVq8dRo0ZRrVab6Qnsg927d7NOnTrs\n06cPb9y4UaJzy7KKVszrWhZjua83QUo0ctxg31MA1+b7rIYCfEvfC7ZR7uuKSk5ODocMGcKePXvy\nuw0bhPuXmRHia2Fs4TqRkpLC3r17s0WLFkbnbcozGRkZ/Oijj+jl5cUFCxaYtPijLKtop0ZEiHld\nC5NffL8H6AnwQL7PxFjPtyfAiUJ8LUZmZiYb1qtHPycn4f5lZoT4WhBbuk5otVp+/vnn9Pf3r5B5\ndS9cuMAuXbowODiYf/75Z6HlisostQfSilkFQG+AY4xUJHJHR27atEnM61oQ/bBzFsDVOuH9w8jn\nNRR553y1AKsDXC+GnS2GcP+yHEJ8LURhlX4UwHaQFpI4F9F6NJfrxN69e+nv7885c+ZUOAHRarWM\njIxk1apVOWLECKOrvfU5lfO/x/sBeuiGy7IAZgI8ZuSzEKtorUO74GC+CdBL9/039rv4TddQ2gdQ\nDXAOQH+AjyANUzeqXr1CRH6zF/R12GdF1FnfA2wMsApAd4DNdPuE+1fxOEJgEWJiYtBYq0XTfPs9\nAbwD4Ksizm0GoJFWi5iYmDLbERYWhsOHD2Pz5s3o27cvHj58WOZr2gsODg4YNGgQzp07B5lMhkaN\nGuHbb78FydwyS+fMwZjU1ALnvg9gNIA+AGQAKgF41sg9xqSmYumcOZZ5AEEuYyIisBrAIwAdASh1\nm8qgTFsASwEMB1AFQAyAnQAUABa5uMDZ0xPVq1fHhAkTcOHCBWuaXyHR12HNUHid1RrAXgD3ASQD\niAAQDsAH5qvDKiy2Vv+KSrvg4AKuE/l7XoX1fPULTszpOqFWqzlq1CjWq1fPqAN9ReDw4cNs2rQp\nO3bsyPPnzxe6ijYVoBOk1bRNdUPOHQvpcYnhTOtQ1PSAKfOM+l5WXFwcp06dSl9fX3bq1IkbN24U\nva9Skr8OK67OytbVW1UAJlmgDqtoCPG1AIVV+iURX0tV+mvWrKG3tzejo6PNel17ITs7m4sWLaKX\nlxfHjBnDILm8wHt7A6ADwGoAT+ve688A+gJMNvJZiIU81sGc84tqtZpRUVHs0KED/fz8OG3aNF65\ncsU2D1YOMVaHFVZnXYM0heMEadrgf6LhahJi2NkCJCUlwadyZTiX4RoyAN6VKuH+/fvmMgsAMGzY\nMOzevRvvv/8+JkyYAI1GY9br2xonJyeMHTsWp06dwtWrV5Genl6gjFL39w0AjSG91+8D0AD402qW\nCvIzMDwck2bPRjtXVxw1ofxRAO3c3DBp1iwMDA/Pc6xy5coIDw/HgQMHsH//fqSlpaFZs2Z4+eWX\nsX37duTk5FjkGSoKJanDagB4AGnKIAJALwC3Ybk6rKIgxPcJ5Nlnn8Xff/+N8+fPIywsDHfv3rW1\nSWZDrVbjjz/+QGRkJBwdHZFMIn/zwh1AUL59BOCg2wzRAEjMyoKnp6dlDBbk4d0JEzBv9Wp0V6nQ\nRaFADIBsg+MaAJsBhCmV6K5SYd433+DdCROKvGaDBg3w1Vdf4caNG+jXrx9mzZqFWrVqYfbs2bhz\n544Fn+bJwhXAZABVAfxoY1vKA0J8LYCXlxfuZWYWqPRLgqUrfU9PT+zYsQOdO3fGc889h99//90i\n97E0d+7cQUxMDCZNmoQ2bdrAy8sL7777Lq5fv44hQ4bg2QYNsM3IeWMArAFwHlLlPg+AC4A2+cpt\nBdC0USO4u7tb9DkEjxkYHo7r9+7hrZUr8VVICDxkMgTJ5ajh6golgIUhIRi+YgWu37tXoMdbFG5u\nbhg2bBgOHTqELVu24MaNG2jYsCH69euHffv2QavVWu6hyhllqcOyIS2UEw3XYrD1uHdFpbAFVzkA\nMyh18jkAACAASURBVADG6uZP1LrXll5wVRTbt2+nj48PFy5caNfuSBqNhsePH+eSJUs4ZMgQ1qpV\ni56enuzevTs//fRT7t+/n6mpqXnOKczViABnQHJV8QDYGeBJI2U6K5XC1cjGJCcnMz4+nufOnWPl\nypWZlZVltmunpKRw6dKlbNKkCevWrcv58+eXu3SWlkJfhxVVZ60DeFlX5iHAmQB9AN4VC66KRYiv\nhSis0l+jW+zjANDR4G/+RSbWrvTj4uIYHBzMwYMHFxAwW/HgwQPu2rWL06dPZ1hYGJVKJRs0aMD/\n+7//4zfffMPz588Xm0rRXKtoBfZB3bp1ee7cObNfV6vV8vfff+drr71Gd3d3vvrqq/z999/tujFq\nafR1WGF11lWAH0JKbiHXNWR7GjRiRcO1aIT4WojyWOmnpaXx9ddfZ+PGjXnx4kWr3lur1fLixYtc\ns2YNhw8fzkaNGlGhULBTp0784IMPuGPHjlKnTCztKtpAFxcRpcfO6NWrF7///nuL3iMxMZELFixg\n3bp12aRJEy5ZsoQpKSkWvac9Uh7rsPKEEF8LUh5Ds2m1Wi5dupQ+Pj7csmWLxe6Tnp7OX3/9lZ9/\n/jl79uxJb29v1qxZk4MGDeLixYt59OhRsybtLmmM7YBKlegul1eoFI0VgQ8//JAzZsywyr1ycnK4\nd+9e9uvXjx4eHhw+fPgT930oj3VYeUGIr4WxRWIFc/Dnn3+yWrVqnDZtGrOzs8t8vZs3b/L777/n\n+PHj2aJFC7q5ubFFixYcP348v//++xJnKSoN+uxSYQoFN6NgZpZNANtWqpSbmWXz5s308/PjiRMn\nLG6bwDSio6PZp08fq9/39u3bnDVrFqtXr84WLVpw9erVZskvXR4or3WYvSPE1wqYUum3d3Wl3NGR\nkd99Z2tzc0lISGCnTp3YtWtX3rt3z+TzsrKy+Pfff3PRokUMDw9njRo16O3tzZ49e/Lzzz/nr7/+\narMYvJmZmYyKimJoSAjlMhlryuWsKZdTLpOxVcOGbNmyJWvXrs3Y2FiS5A8//EA/Pz+ePHnSJvYK\n8qJPmWkrsrOzuW3bNnbv3p1eXl4cN26cReag7Q19HdbexaXQOqyzUilSCpYAIb5WwlilX83FhZUd\nHBgaEsLIyEi2adOGa9eutbWpedBoNJwyZQpr1KjBw4cPGy2TlJTE7du3c9q0aezYsSMVCgUbN27M\nESNGcO3atbx48aJdLlzRr6KNj4/PE4Vnx44drFWrFgcOHMhbt24xOjqa/v7+PH36tA2tFZDS78jF\nxcUuEihcuXKF06ZNo5+fHzt06MCoqKgKl0PbELVazaCgIAbXrl2g4RoaEsKoqCgxx1sChPjaAH2l\nv3fvXgYFBeXuP3jwIGvWrGmXP+BNmzbR29uby5cv57lz57hq1Sq++eabrF+/PpVKJbt06cIZM2bw\n559/5oMHD2xtbplJS0vjtGnT6O3tzcWLF3PDhg2sWrUqz549a2vTnngaN25sV3OvmZmZ/P7779m5\nc2f6+vpy6tSpFTIc6a+//sp69eoxJyen0IarwHQcSNLWvsZPKhkZGahSpQrS09Ph6CjFO+nRowe6\ndOmCcePG2dg6ibS0NBw+fBh//PEHdu/ejd9++w1ubm54+eWXERoaijZt2qBx48Zwdi5LME375fz5\n8xg9ejRSU1PRs2dPLF++HPv27UP9+vWLPTclJQVJSUkApKAFIlCHeRg0aBBeeuklvPbaa7Y2pQAX\nLlzA8uXLsX79ejRv3hyjRo1C9+7dK8Tvo1+/fujUqRPefvttW5tSMbC1+j+pJCcnMy4ujl5eXjx/\n/nzu/pMnT9LPz48PHz60uk1arZbXrl1jZGQk33nnHTZt2pRubm5s3bo1J06cyM2bN/PSpUvs378/\nmzVr9sQEqtdqtVy3bh39/f3ZpUsX+vv7859//jFaVq1WMzIyku2CgymXyRikUDBIoaBcJmO74GBG\nRkaKobkyMmvWLEZERNjajCJJT0/nunXr2Lp1a1arVo0zZ87kzZs3bW1Wqbl69Sq9vLz46NEjW5tS\nYRDia0WMVcx+jo50c3bOUzEPGTKEM2fOtLg9mZmZPHToEL/88kv279+fgYGB9PX1Ze/evTlv3jz+\n/vvvzMjIKHCeVqvlggUL6Ovry59//tnidtoLSUlJHDFiBD08PFilSpUCAqxflNJFqWSMkUUpmwGG\nKRRiUUoZ+fHHH9m9e3dbm2EyJ06c4KhRo+jh4cHevXszNja22OAw9sbkyZM54f/bO++wpq4/jL8B\n2QSUqSiCIm4FHHXhxFHr3ta6rVqt21pq7VBrh3W01lW31oFt1Vp/1lZx1rqoo61a6wDUigtBQZQR\nyPv74yY0YAIJZDDO53nuQ3Jzx7nh5rz3fM93TJtm6WaUKIT4mglDOuYlS5bQzc2NDx8+NGobHj58\nyB9//JHh4eFs2bIlnZycGBQUxHHjxnHz5s2Mjo42yDHq6NGjrFChAj/66KNi15kUhhMnTrBSpUq0\ns7NjZGQkSRGOYU6uX79OPz8/SzfDYJKTk/n1118zKCiIAQEB/Pzzz43+GzcFKSkpdHd3L5Hz2JZE\niK8ZKEjH3LpFC06dOrXA58zKyuLFixe5atUqDhs2jIGBgXRxcWHHjh05e/ZsRkZGGiVrz507d9i8\neXN27dq1RDha6UtGRgb79u1LKysrvtypk0hEYEYyMzPp6OhYbLNOKZVKnj59msOGDaOrqysHDRrE\nX3/9tUhGBJDkypUr2bNnT0s3o8QhxNfEFDRDTCUHBzo5OfHWrVt6nSc5OZmRkZGcM2cOO3XqRFdX\nV1arVo1Dhw7l119/zb/++ssoyTK0kZ6ezokTJzIgIKDUxcPOmTOHDkCOFHxZAJtByoEbp1q3CWBz\ngOUAegDsDHA7RAq+gtKwYUOeOnXK0s0oNAkJCfziiy9Yo0YN1qlTh0uXLjW697DavyQ6OtrgYyuV\nStaqVYtHjhwxapsEQnxNiq7cqMMA2gB01lhWahkBl7Wz47Bhw144rlKpZHR0NDdv3sxx48YxKCiI\njo6ODA0N5dtvv83du3fzwYMHZr/eLVu20MPDg5s3bzb7uS3Ftm3b2NLOLsf/biHA9pCSz6vFdznA\ngwCfA0wHOAtgBYCtnZxE8vkCMGzYMK5Zs8bSzTAaSqWSR44c4YABA1i2bFmOGjWKZ8+eLfDxjOX4\nt3//ftavX7/IjsqLM0J8TYiuykbDAY7WYwTc1tmZcrmcf/zxB0+ePMmFCxeyV69e9Pb2ZoUKFdi3\nb18uXryYp0+fLjKjpz///JPVqlXjhAkTikybTEnu0pFXAQYA/CPXyDf3kqr6fAFE2bWCsGDBAk6e\nPNnSzTAJ9+/f5yeffEI/Pz82atSIa9euNajSmDEd/1555RWuW7eusJck0IIQXxOiq6bvMICv6yG+\nOwC629jQ2tqaDRo04IQJE7ht2zbevHmzSD+JPn78mN26dWOzZs2KdXhFfjx58oRONjbZnVsWwBYA\ndwOMzUd896osHo8BOtnYiEQFBrJv3z6GhYVZuhkmJTMzkz/99BO7detGNzc3TpgwgZcuXcpzH2M6\n/l29epVeXl5aIx4EhUeIr4nI3THnHvmWA+gGsDrAGQBTtGyXAdDR2pre3t46UzsWVbKysjhv3jxW\nqFCBR48etXRzTEJ0dDT9NSwbiwH2U73OS3yvAvQCuEr13s/JSXiSGsjt27fp7e1t6WaYjVu3bvH9\n999nhQoV2LJlS27duvWFTHjGrkA0YcIEzpo1y1yXWOoQ4msicnfMmss5gA9Vry8DfAngqzp+HH5O\nTvz444+L7VP+/v376e3tzYULFxbp0XpB0PwfXwdYCeD9XOJ7J9f/8zLAiipzs3pdJXt7Hj9+vMR9\nP6ZEqVTSxcXFoIIfJYGMjAzu2LGD7du3p6enJ2fMmMHr169n+5cMA1gHoAtAH0jTW4ka99ofAF+G\nVPheBvA3aK+9++TJE5YrV45xcXEWvNqSjZWlM2yVRhoA8FS9rg3gSwA7ACh0bN+3b1/cvn0bBw8e\nNEfzjErHjh1x+vRpREREYMCAAXj69Kmlm2Q03N3dEZ+eDgWA3wDEA6gL6X/bULVNfQBfq16fB9AW\nwLsA3lKtUwCIT09Hv379ULZsWbRo0QLjxo3DihUrcPz4cTx58sRs11OckMlkqFu3Li5fvmzpppgV\nGxsb9OnTB5GRkThx4gRIolmzZmjcuDFqZmSgIoCtABIB/AngDoDhGvvbAegLYK/qvQzSvVpHqcSu\nXbuyt1u/fj1efvll+Pj4mOGqSicit7OJSEpKQkVPTzxWKGCTz7anALQGkALAVmO9AkA5GxvExcdj\n//79WLBgAaKioiCTyUzVbJORlpaGCRMm4OTJk9i1a5deuZGLAy2DgzH1zz/RGcBjjfX/AmgG4CyA\nGgD+ANAVwEIAozS22wlgSXAwfr1wAQkJCbh48WL28tdff+Hy5csoV64c6tWrl2OpWbMmbG0175bS\nx9ixY1G/fv1Sn2s4LS0NjapXx9x//0XvXJ/9AmAAgCQt+1lBemhsjpz3YVZWFgIDAxEREYEmTZqY\ntvGlGQuPvEs0uhyuIgA+Ub2+BikmtK+W7XbgP0/YrKwshoSEcMeOHRa+qsKxZs0aenh4FPvrUKPL\noz0WOUON2gK0Rs7wMmeADRwc8gw1ysrKYnR0NHfv3s25c+eyX79+rFmzJu3t7Vm3bl2++uqr/OST\nT7h3717eunWrVJmuv/rqK77xxhuWbobFycu/5C2ArXRMackAntDwL1E7/u3evZtNmjSx9GWVeIT4\nmhBdHXMbSM5WTgCrAJwO8KmWH0c7uTxHx/zLL7+wRo0aVCgUFryqwvP777/Tz8+PM2bMKPbXoiuW\nW59F21ybvjx//pznzp3jxo0bOX36dHbo0IHly5enq6srW7RowXHjxnHFihU8fvx4ifWkPnz4MEND\nQy3dDIujy79kB0A5wAt6iK+m41/btm25bds2S19WiUeYnU1Ieno6/Ly8sC85GQ0M3PccgC4uLrgd\nH59tXiSJdu3aYfDgwRg1alTeByjiPHr0CIMGDYJCocC3334LLy+vPLcvyuX5vt2+HTNGjsRvqamo\nrOc+twGEOjpiwbp1GDBwoNHa8ujRoxxm64sXL+Ly5ctwd3fPNlnXr18f9erVQ40aNWBjk9+kSNEl\nPj4egYGBOHfuHGQyWZG7L8xFTEwMwoKCEJuSkr3uewBvANgFaUpLG5pmZwDwd3LCiu++w+jRo3Hz\n5s1ifW8UCyws/iUeY7v/nzp1ir6+viUi9i4zM5OzZs1ipUqVtKYKLE7l+YpyYYWsrCzeuHGDu3bt\n4pw5c9i3b1/WqFGD9vb2rFevHl977TV+9tln/Omnn3j79u0ib7rWvC9sAfo5OhbZ+8IcqM3OGar7\na73KsnYyn/tQm9l5yJAhnDdvnqUvqVQgxNcMGNoxewAMrFBBZyfSo0cPLipBFXF+/PFHenp6cvny\n5dkdf3Esz6duc5izM3dqafMOgC1sbelkZcW1RSA14vPnz3n27Flu2LCB06ZNY/v27ent7c2yZcuy\nZcuWHD9+PFeuXMnffvutyBQxKI73hTlQ+5csAeiu6kd09TGpkNKcygAeVr3/DmCzunVZtmzZYlFp\nqSQgxNdM6NMxtwPoDXBLPp3IpUuX6OnpWaLm8q5du8a6dety6NChXPDpp0V2FJkf6enp3Lp1K8ta\nW9OpTBn6OTnRz8mJTjY2bBkczG3btnHKlCls0KABExMTLd1crTx8+JCHDh3iF198wZEjR7Jx48Z0\ncnKin58fu3btynfffZcRERG8dOkSMzIyzNauomxdsDRq/xIZQFvkdOqTa3wvsSrRlUFyCFS/rmVv\nzwEDBnDEiBGWvpRSgxBfM5Kens6IiAjW9PGhHUBfgH6QHK9aQvKCTtezExk2bBjff/99C12JaUhJ\nSWGL5s3pKZMV6/J8p06dYr169fjkyRPGxMQwJiYmx4OSUqnklClT2KhRo2JThjEzM5PXrl3jzp07\nOXv2bPbp04eBgYG0t7dnUFAQBw8ezPnz53Pfvn38999/jW66Nvb0TUnDGI5/Pj4+/OOPPyx9KaUG\n4XBlZtTOOftSU+GkWucGIC83EW3OOTdv3kTDhg1x5cqVfJ2VigtqB7XJycnYB+AvAM+RM/nIG5CS\nCGjyDMBUAFtzOahZirlz5yI5ORkLFy7UuQ1JTJkyBadPn8aBAweKraPQ8+fP8ffff+dw8Lp48SIU\nCkWOuOT69eujbt26kMvlBp9Dm+OiEkAogNOQEkn4QEoq8Q6kmOoHAI4DsMeLjosllcI4/vUaNQp/\n/vUXjh49asIWCnJgYfEvVeT3dKqtDmxeYSmTJk3ipEmTLHhFxkVtOtsPqdbteoBl8nlqj4RUnvEe\nwHbOzkWiPF+LFi24f//+fLdTKpV888032bRp0yIzp2os7t+/z8jISC5evJgjRoxgo0aN6OjoSH9/\nf3bv3p2zZs3i9u3befny5XzDzbSF7Gkr23gF4FrVb0XTmaio3BfmYPKbb9IDec/5arOqNW3alLt2\n7bJ080sVQnzNiK6437w6FM0ldyfy4MEDurm5MTY21nIXZURyJyU5oof49lEtRM6kJJbiyZMndHZ2\n5vPnz/XaXqlUcty4cWzevDmTk5NN3DrLkpmZyatXr3LHjh388MMP2atXL1arVo0ODg4MDg7mkCFD\n+Pnnn/Pnn39mXFxctum6IGUbNcW3KNwX5uDixYv08vLiuzNn5utf0tLePtuf5MyZM/T392dmZqal\nL6FUIcTXjOjKeKVvh6KtE/nggw84bNgwy1yQEdGWpSc/8b2nGvVGanQsli7P98MPP7BDhw4G7ZOV\nlcUxY8YwNDSUT58+NVHLii4pKSmMiori2rVrOXnyZLZr144eHh50c3NjixYtaG9lZXDZRl3Zm0oq\nt2/fpq+vL7du3UryP/+SlsHBdLKxyeH4V9fPj/Xq1cu2og0aNIgLFy60ZPNLJUJ8zUReKeD07VC0\ndSJJSUn08vLixYsXLXh1hUdblp78xHcewGq51lm6PN+4ceO4YMECg/fLysri66+/zlatWhlUOL2k\nolQqee/ePW7atIkVbW2z/7/6lm3Ulb2pJJKQkMBatWrpDD/M7fiXmppKd3d33rx5k3FxcSxXrlyx\ncfwrSYiqRmYiISEBnnZ2KKPlsyWQHEZ65HMMGwAetrZITEzMXufi4oLw8HC89957xmtsMUAJYA2A\nMZZuSC4OHDiAjh07GryflZUVVq1ahYCAAHTt2hXPnz83QeuKDzKZDOXLl0doaChsVI5SNwAsBrA0\n17al2WM0NTUV3bt3R+fOnTFt2jSt27i6uqJKlSqoUqUKXF1dYW9vj4EDB2Ljxo1YuXIlevfujcTE\nRMTExCApSVsJBoFJsLT6lxZ05V/Vtw5sXk/wqamp9PX15cmTJy10dYUnd5ae/Ea+PwG0A/goH8uA\nOblx4wbLly9fqDCbzMxMDh06lO3ateOzZ8+M2LriieZ9sUH1P/dQLW6q34obwJWl0OysUCjYo0cP\nvvrqq8zKyjJo39OnT9Pd3Z3lVPHoRTl7XElFjHzNhGbtV030qQOrRgHgUUYG3Nzccqy3t7fH7Nmz\nMXPmTJDFcxzg6uqKkNq18T9Io9o0ABmqz9JV7zVZBaAPAHeNdXsA2CqVmDFjBvbv3w+FQleFZNMQ\nGRmJjh07Fqrko7W1NdavXw8fHx/06NEDqampRmxh8UPzvhgAIAZSSNGfAPaptokEMET1Og2A+htT\n3ze7ATSoU6fYhnNpgyTefPNNPHv2DBs3boSVlf5d+bfbt6NHx44ITEzEuqwsPMnMRGxKCmJTUvBY\nocDUP//EujFjUNnTE99u327CqyjlWFr9SxPaHK6eq+as1Mtp1VP7OYApubbNy2tToVCwZs2a/OWX\nX8x8VcZD7Q2+AS9m4bECshMs3FGNiH/N9f20k8v55ZdfcsGCBWzatCnd3Nw4dOhQ/vjjj2bJhd2z\nZ09u2bLFKMfKzMzkq6++yo4dO5aIPN6FQd+yjbFa7ht19qaSFmo0Z84choSEGByiJrKEFR2E+JqR\n/EKNtHUomktTa+s8S33t2LGDISEhBpugigrGLs/377//csmSJWzVqhVdXV05cOBAfv/99yZxaMrI\nyKCrqyvv379vtGMqFAoOGDCAL7/8cqkWYEuVbSyqrF69mlWrVuW9e/cM2k9kCStaCPE1I4XtRJys\nrLhp0yadx1cqlWzUqBG3b99uxqsyLgXtICrZ2+fZQdy/f59ff/01O3ToQBcXF/bq1Ytbtmwx2jzg\nb7/9xmATxJIqFAr269ePr7zyCtPS0ox+/OKCEA6JH3/8keXLl+e1a9cM2k/d9wwDWAegC0AfgKMB\nJmp8Z5sANgdYDtK8emdICW9K2gNMUUCIr5kpcCfi4MCP5s5lhQoV8hSMyMhIBgYGmjXhvbEx1DTm\nY2tLNxcXXr16Va/jJyQkcMOGDezSpQvlcjm7dOnC9evX89GjRwVu8wcffMC33367wPvnRUZGBvv0\n6cNu3bqV6g7Q0Puikr19iTKZnjhxgh4eHoyKijJ4X7XV7V1IuQQyAcarxLW7xve2HOBBSNNh6QBn\nAawAsLWTU4kz3VsaIb4WwNBOxMvKik0aNmRmZiZHjx7NiRMn5nn8sLAwrlq1Kvv9kydPGB0dzejo\n6GLj8alXFSi5PDtLz7p16+jr62twLGdSUhK3bt3K3r1708XFhe3bt+fKlSsNNh83bdqUBw8eNGgf\nQ8jIyGDPnj3Zo0ePUi3A+t4X5eztWS0goFg/hGry999/08vLi/v27SvQ/roS/PysGgXr6n9SIc2b\nL0DpyBJmToT4WghDxGXTxo1s06YNR44cyYcPH9LLy4vnzp3TeeyoqCj6+Phww4YNxaIQvS7yytLT\nMjiYEREROa5h2bJlrFKlCv/9998CnS8lJYU7duzgwIED6erqypYtW3LJkiX5Hi8xMZFyudzk87Lp\n6ens3r07e/XqVWJEpSDoc1+kpaWxc+fOnDVrlqWbW2ju3LlDPz8/bty4sUD755Xg5y2ArfIQ372Q\nyhI+RskM17IkQnwtiCHi8vTpU4aGhnLs2LFcu3YtX3rpJZ2OVdsjIigvU4atbG1LTMFxXeX5crNg\nwQJWr1690I5Pqamp3LNnD4cNG0Y3Nzc2adKEn3/+OaOjo1/YdseOHezcuXOhzqcvaWlp7NKlC/v2\n7VuqBVhNXvfF/fv3WaFCBR49etRCrSs8jx8/Zr169fjpp58W+Bi6cgzsgFTr94IO4b0K0AvgKtX7\nkpwlzBII8S0i6CMuycnJbNq0KSdMmMDmzZvnMC2rEaEEUhhG3bp1CzWHq0lGRgb379/PMWPG0MvL\ni8HBwZw3bx6vXLlCkhwzZgy/+OILo5xLH9Sjuv79++usCFQcpxpMwc8//0xfX18mJCRYuikGk5qa\nytatW3PixImFStyiTXy/g5Sc5KiOvuEywIoqczOF+JoEIb7FjMePH7NRo0YcMmQIPT09+fDhw+zP\nhEeohFKpZHh4OBs0aGD0nLWZmZk8cuQIJ0yYQB8fH9aqVYuurq7cuXOn0QvI50Vqaio7derEgQMH\nZgtwWloat23bVqynGkzBlClT2Lt3b7P+fwpLZmYm+/bty379+hW62lDu7HHrVcJ7UkefcE414l2e\ny2ImzM7GRYhvMSQhIYHBwcFs3Lgxhw8fTlLqeB1tbRkA3WEEBHgDYE+ArqqlKaTEHiUtlECpVHLi\nxIls1qyZyUr1ZWVlcfv27XR2dqafnx+rVavG8PBwRkVFmaWjT01NZYcOHTho0CBu27qV3i4ubC+X\nl5ipBmORlpbGoKAgrlmzxtJN0QulUskJEyawTZs2BfYjyG35UDtcLQHoDt31fn8DWBZSXeTcJmrh\ncGVchPgWU+Lj41mrVi3K5XIeP36c27Zto7+NTZ5hBA8hhQ3MAZgMUKl6ylWiZBYcV1cKatOmjcny\nJC9dupQjRoygUqnk2bNnOXPmTFavXp2VK1fmlClTePz4cZMmPXn+/DlrBgbS29q6VE815Mfly5fp\n4eGRPVVQlPn0009Zv359g0eZeVk+qlSowCaQPJdtITlRqRe5xv3RFqB1rs+dATZwcChx/YOlEeJb\njHnw4AErVqxIb29vtqhf/4VQgtxhBO8AbKajUy6pT7aZmZl87bXX2KlTJ5MkqejWrdsLnZJSqeTF\nixc5e/Zs1qtXj+XLl+e4ceN48OBBnXO0BUVMNejPypUrGRISUqSTlWzYsIF+fn6Mi4szaD919IQu\ny8d2lYiKLGFFByG+xZy4uDg6ODjQXiZ7IZQgdxhBE0i1ULtAmvOpD3Crxg+0pM7pKBQK9unThz16\n9DCqh3B6ejpdXFwYHx+f53ZXr17lp59+yoYNG9LDw4OjRo3ivn37Ct2Z6Zu1aKyWkYwMoLOdXanq\nUJVKJXv06MHp06dbuila2bdvH729vfn3338btJ++TpbbITlRiQe1ooEQ3xJAREQEPbSMZHOHEQSo\nTEo7AWYBjARoD2mep6R7M6anp/OVV17hgAEDCu3AoubYsWNs2LChQfvExsZy0aJFbN68OcuVK8fB\ngwfzhx9+4PPnzw0+v75Zi3IvkQBtALZwdCx1psT4+HhWrFiR+/fvt3RTcnDmzBl6eHgYXBZ0e0QE\n3W1s2Fj18JW7BOcG9YOWarED6ADdc75iisJ8CPEtAURHR7OCjU32j0ZXGEEIwJa51vUE+HYpEF9S\nclAKCwvj8OHDjTIPO2vWLM6cObPA+8fFxXHZsmVs06YNXV1d2b9/f3777bd8+vSpXvsXNGtRH9VS\nUqca8uPgwYP08fHJESlgSa5evcry5ctzz549Bu2ntnwsU41q1+sQ30AtI2APSJYwfbLHCUyDEN8S\ngGYoQV5hBCO0iG8PSHPBJdnsrElKSgpDQ0M5bty4QnskN27c2GgJHB48eMDVq1ezU6dOlMvl0KyT\npAAAIABJREFU7NGjB7/55hudoVIFzVp0TzXqjSxF/3NthIeHs2vXrhYPP7p37x6rVKlSIE/s3FXS\njugQ32pa7oN0gHXs7FjXz0+v7HEC4yPEt4QQGhTEkcg7jOC0quPdDcnsfBigo2p9aRoFJSUlsXHj\nxpw2bVqBO99Hjx7RxUROKImJidy0aRO7d+9OuVzOzp07c+3atTnmlguatWhers64pFs7dJGens5G\njRpx2bJlFmtDUlISQ0JCOHfu3ALtn9vyoU18N0IyNZcH6AtwIKSypdT4zeubPU5gXIT4lhC2bdtG\nQHsYwROA0aplE8AaAJ0A1lP9AAnwJZmMQ4cOLdDcY3EkISGBQUFBfP/99wu0//bt29m1a1cjt+pF\nkpOTGRERwb59+9LFxYXt2rXj8uXLeerUKYOzFmUB9AP4ucY6b2trvvHGG1yzZg0PHz7MmzdvGm1O\nvKhz7do1enh48OLFi2Y/d3p6OsPCwvjGG28U6AFQm+VDm/jGALyuen0f4HDVw9ezUm75KArISBKC\nYk96ejr8vLywLzkZDQCkA9gFYAWACwA8VdvFAwgBMB5AHwC2AM4BeNnJCc3DwnD27FmEh4dj9OjR\ncHBwMP+FmJGHDx+iTZs2GDJkCGbOnGnQvqNGjUJwcDAmTpxoota9yPPnz7F//37s3LkTe/fuRVpy\nMp6SsAGwAcBbAPYCaKZj/30AegOIA+AOQAHA1doa02fORFxcHKKjoxEdHY1Hjx7Bz88PVatWRUBA\nAAICArJfV61aFY6Ojua4XLOwceNGLFq0CFFRUWa735VKJQYPHozU1FTs2LED1tbWBh8jJiYGYUFB\niE1JyV53FEAHSP9XXWQCKAvgfwDaAvB3csKRixdRpUoVg9sgKBxCfEsQ327fjhkjRyI8NRUfAagH\nSWS7ASij2kYB6Ye3AsAlAO8DmO/oiAXr1mHAwIG4cOEC5syZg99//x3vvPMORo8eDXt7e0tcjlm4\ne/cuWrVqhQkTJmDKlCl67UMSlStXxsGDB1GjRg0Tt1A76enpeKlWLXwYG4s7AOYC2A+gYR779ADg\nDGCr6v1OAEuCg/HrhQs5tktLS0NsbCyio6MRExOTLcrR0dG4efMmypUrp1WYAwIC4OnpCZlMZoIr\nNg0kMXDgQHh5eWHp0qWFOlZSUhISEhIAAO7u7nB1ddW63fTp03HmzBlERkbqLfgk8eDBA1y7dg3X\nr19HVFQU9qxbh3tZWdnbHIX+4rsHQDsI8bUkQnxLGP169MDRPXvwC/LuiAHViBdAm+7d8f2PP+b4\n7Pz585gzZw7Onj1b4kX41q1baN26NWbOnImxY8dq3UazY3306BH69euHmzdvWlRoIiIisPr113Hs\n+XPYQLJiqJEBSNZ4HwfAH8BhAC1V68LkcoxevRoDBw7U+5xKpRJ37959QZjVr9PT03UKc+XKlWFj\nY1O4izYBjx8/RnBwMJYvX46uXbsatG96ejp27dqFFfPn48Lff8PTzg4AEJ+ejpDatTE+PBx9+vSB\nra3031m0aBHWr1+P48ePw83NTWtbrl+/ni2y165dy35ta2uL6tWro3r16vD19cXiTz/Fk6wsWAPI\nAPArgC4AUgAQgD2AnwAEAagI4DGAdwBEArgMwAZAORsbxMXH63xQEJgOIb4lCPXI97fUVFTWc5/b\nAEI1Rr65OXfuHObOnYtz587hnXfeweuvv14iRfjGjRto06YNPvnkEwwdOhSA7o71QWoqvFxd8emy\nZTk6VnPy7NkzvPfee1i9ZAmOk2hg4P7nAHRxccHt+Hijtj8pKemF0bL6/d27d1GxYkWtwly1alW4\nuLgYrR2Gcvz4cfTr1w8XLlxAhQoV9Nrn2+3bMXnsWNQjMf7pU+0WJmdnXLKywpJVq5CZlYWZM2ci\nMjISaWlpL4jrtWvXkJaWhurVqyMwMPCFv5pirVAoUMPHBwsfPUIygJGq9TJIwisDEANgOSRLRxIA\nFwChAD4BUA26LR8C8yDEt4SgnvN9OTkZZwH8C8nE2AXAfADlVNspAXwMaY5QPf/7JoDJ+XTE586d\nw5w5c3D+/HnMnDkTo0aNKnEifOXKFbRr1w5fffUVlFlZBnWs2h5cTMXevXsxYcIEtGzZEi1DQzFv\n6lSjPnAZE02LgVwuR1JSklZhjomJgYODwwuirH5foUIFWFlZmbStH374IU6dOoVffvkl33N9tXgx\nFr73Hn5ITdXLwvSKlRWeACjn6YmkpCRUrVo1h7iqX5cvXz5fa8q9e/fQv39/PH36FO7R0TikMe9r\nCAWxfAiMiEXcvARGR99sR5+rvJ1jVd6O70IqttDKyUmvbEe///47u3btykqVKnH58uVFOk9uQfjj\njz/o6uREH1vbIpcF6M6dO+zTpw+rVavGyMjI7PWG1nD2lMno7urKSZMm8dixY0b3bi5IaUOlUsn7\n9+/zxIkT/Oabbzh79mwOGTKEzZs3p7e3Nx0cHFi7dm127dqVkydP5ldffcW9e/fyypUrRrsHFQoF\nmzVrxoULF+a5XUHzaVewseHSr74q1Pd9/Phx+vj4cPbs2Xz+/Dm9XVxEvuZiihDfEoK+2Y4aA/xK\n471CFZ40EYbF+f7+++/s0qVLiRPh7RERrGhnV6Ty32ZmZnLp0qX08PDge++9pzUcTJ1YP8zZWa+s\nRZcvX+bcuXMZFBREb29vvvHGG4yMjCx07uv8EvwXtLRhSkoK//rrL/7www9ctGgRx48fz06dOjEw\nMJB2dnb09fVl69atOXLkSH788ceMiIhgVFQUExISDGp/TEwMPT09ef78eZLSQ8G9e/d47Ngxrl27\nltOmTaO8TJl882l/B7AuwHKQSnc2BPhZIQRPqVTyyy+/pJeXF/ft25e9XhTWKL4I8S0BGJLtqDHA\nL3N1iDYAp+K/mL/ctUDzIioqil26dKGvry9XrFhRrEVYna5PPZLIglQFSgYwLo9O9TsTjiQuXLjA\nxo0bs2XLlvkm3E9PT2dERARbBgcblLXo+vXrnD9/Pl966SW6u7tzxIgR3Lt3r8H/S0NH4MayGGRm\nZjI2NpYHDx7k6tWrGR4ezr59+7JBgwZ0dXVl2bJl2aBBA/br14/vvPMOV69ezUOHDuWIaU5MTOSZ\nM2e4efNm9urVi3K5nEFBQZTL5fTw8GDz5s05bNgw9u/fn63t7fO1MP0LKa5WU4ytADYvQD7tp0+f\ncsCAAQwJCdGaEMVS37ugcAjxLQEYku1oDqRcr9cBpkLK62wFSNmxbG35Us2aepsKNTlz5gxfeeUV\n+vr6cuXKlcVShHOn61sIsL3q+1GLr65O9RaMWxP56dOnnD59Or28vLhu3TqDc1EXNGvRrVu3+MUX\nXzA0NJRly5bla6+9xl27duVbD7mojsCUSiUfPXrEqKgobtiwgW+++Sbbtm3LKlWq0NHRkTKZjFZW\nVrS2tqaHhweDg4PZv39/hoSEsGvXrkxMTMxxvILk085U/RbLQUr3aIiF6Z9//mHt2rU5YsSIPBPg\nGGr5EFgeIb4lAG3iqyvbUbpKcKsA9IKU17kSpDSTTYFCmwpPnz7Nzp07Z4twcZpT0uxYr0KqAvUH\nco58dXWqCTBeis49e/awcuXKHDp0qEWT/9+9e5crVqxgWFgYXVxc2LdvX0ZERDA5OTnHdmqLwScA\nQ6G9ug4B3oBUyMNVtTSFlNrUmBaD9PR0/vPPP9yzZw8XLlzIsWPHsm3btqxYsSLt7e1Zp04d9uzZ\nk2+//TbXrl3LAwcO8Ndff+X//vc/LlmyhJMnT2bXrl1ZvXp1ymQyli1bli1atOCQIUP4zjvv0MHa\nWu982rcAloVUScwd4DEYllVq586d9PDw4OrVq/XKglVQy4fAMgjxLQFoFlYg8i6ukHv5WCUuy/TY\n1hCT1enTp/nyyy+zcuXK/Prrr4v8j17TdJ8FsAWkHNixWsRXW6eqflApTLq+O3fusHfv3gwMDOSh\nQ4eMfIWFIz4+nmvXrmXnzp0pl8vZvXt3btq0iYmJidkWg/3QXV3nISTHvjkAkwEqIRV2V8Jwi4Ha\nzHzgwAEuW7aMkyZNYufOnRkQEEA7OzsGBASwc+fOnDx5MpctW8YDBw4wNjbWYEenkydP0sPDg99/\n/z3Xr1/PN998k+XLlNHLwqS5PIfk6FhOdR/ll09boVDw7bffpp+fH6OiogxqsxqRr7noI8S3hKAe\ntS1B3sUV7uO/xOrLINXzrQRpJOyi2reTRkeSe46zHiTztL6mq1OnTmWL8KpVq4qsCGtaDxYD7Ke6\nfm3iq6tTpR4dqzYyMzO5ZMkSenh48IMPPmBqaqqJrtI4PH78mJs3b2bPnj0pl8vpI5fnm+D/HUjz\n59ruSW0WA01HpzVr1vDtt99mz549Wbt2bdrb27NSpUps27Ytx44dy0WLFnHPnj38559/jH5/ffzx\nx2zdujUzMzMNsjBpW2qrfnN53SP3799n27Zt2aFDhxyFNAQlDyG+JQT16EMG7cUVNEevgZDMzFYA\nB6iENln1eSrAaSoxzmuO08PZ2aCO7uTJk+zUqRP9/Py4evXqIifC6o71uuphRH3NavG9o0enWhDx\nPXfuHBs1asRWrVrxypUrJrxC03Dnzh065jLFahPfJqoHmi4qsaoPcCv+sxg4WFtzxowZHDhwIBs0\naJDD0Wn48OH8+OOP+f333/PPP/9kSkqK2a4vMzOTrVu35scff1woCxMBVlfto8s6cvLkSVaqVImz\nZs0qNcUtSjNCfEsIuT1181u2AQzTsj4F4HRIc3e5P9Oc42ypZ1xwbk6cOMGOHTtmi3BhQ1uMhbpj\nXQupBJuHanFTia8bwJV5dKrfwDCz89OnTzl16lR6eXlxw4YNFq8rW1C0jQa1iW8AJDP9Tkhm/UhI\nVpffVJ97W1tz4sSJ3LJlC8+cOfOCo5MluX37Nr28vHj69Gm9LUybIM1xZ0F6sJ0D0BPgWmgf5S9b\ntoyenp7cs2ePha5SYG6E+JYgDPE4DVV1hOr3WyGZlWWQzMx3NT7TNsdZWOeiEydOsEOHDvT39+ea\nNWuKhAiHBgVxGyQTsno5rfpOzqkeTHR1qvcN+E52795NX19fDh8+vNibFvUV3xCALXOt6wnJ+a+g\n5npzsmPHDlatWpXr1q3Ty8L0HqTyjU6Qaul2B/gnJI9jzYfWZ8+ecfDgwaxfvz6vX79uwSsUmBsh\nviUMfWL+nqg6BW1em/chmaKbavlMc47zJoxTC/S3337LFuG1a9daVIRzhxqpzc6aoUa6OlUif8eh\n27dvs2fPnqxevToPHz5sxiszHblNsbrEd4QW8e0BaS64uNSVHT16NAcNGkR3R0ejZJW6fv0669Wr\nx8GDB+cbyiUoeQjxLYHkF/O3HKB3Hp3EQ9Vo77KOz9VznBXt7Hjp0iWjtPn48eNs3749q1SpwnXr\n1llEhA013efuWJ2srHjw4MEXjpuZmckvv/yS7u7unD17drGMgc4LtSk2C5LPwH6V+Kap3hOSBcEG\nkgd5FsDDkPwOTsN4IVqmJjo6mnK5nC5y+QtZ0J4AjFYtT7TcH7ljmn/88Ud6enpy+fLlxXbKQVA4\nhPiWUPKK+WtUqxYr2dnpFJI4lfje1vG5eo7T29qacrmco0eP5qlTp4zSifz6668MCwuzmAgXJlnE\n1ClTWLFiRY4YMSLbnHz27Fk2bNiQbdq04T///GPWazEXaovBBtV9I4NkLVD/VX+X30PKK+4EyWt+\nh2p9blNsUUOpVHL9+vX09PTk8OHD6enpyQ/efZeV7O05D9IUjhNAf9XipFq3DVJcvWaIXmZmJmfN\nmkVfX1+eOnXK0pcmsCBCfEsBuWP+NE2FSoBLVaNdQvJu7on/TIS65jj/hWQqvHLlCj/55BNWq1aN\ntWvX5qJFi/jgwYNCt/nXX39lu3btWLVqVa5fv96sIlyYdH1JSUmcNGkSPT092aFDB3p5eXHTpk0l\nenRTWItBUU7wf/36dbZr146NGjXihQsXSJKLFi1iYLVqdHNwyDMxTWtIc8Gu9vbcHhHB+Ph4dujQ\ngW3btjXKb0RQvBHiW0pRmwqVAF+BlO3KCdJ85nhI+WrzmuPMbSpUKpU8duwYhw4dSldXV/bu3Zs/\n/fQTFQpFodp57NgxtmvXjgEBAdywYUOhj6cvhUnX98MPP9DLy4vu7u5s3rx5vjmZSwJFNb1kQcnI\nyOCnn35Kd3d3Ll68OMd99+XChfSystL/4czBgdMnT2blypUZHh5utntYULQR4ltK0eZcZMjSxMqK\nX375pdZjJyUlcdWqVXzppZdYsWJFvvvuu7xx40ah2nv06FG2bduWAQEB3Lhxo1k6MEPT9d26dYvd\nu3dnzZo1efToUWZmZvKrr76iu7s7Z82alWdu3pLAkkWLWMnevtgn+I+KimJQUBBffvllxsbG5vis\noA8ZHgCnTZtmmQsSFEmE+JZSjOFcJJPJOHr06DyF8OLFi5w6dSo9PT3ZunVrfvPNN4Xy7Dxy5Ajb\ntGljVhEm807Xp1AouHjxYrq7u3Pu3LkvOFTduXOHffv2ZUBAAPfv32+W9lqCzMxM1qxRg+Xs7Ytl\ngv+nT59yypQp9Pb25tatW1+YKtCn6pV6qqYqJIeyJpDC1Iq6eV1gfoT4lmIKaypct24dHRwc6OLi\nwp07d+Z5rvT0dH7//ffs3Lkzy5Urx7Fjx/Lw4cO8ceOGXqULc3PkyBG2atWK1apV46ZNmyxmyvv9\n998ZEhLCdu3a8erVq3lu+9NPP9Hf358DBw7kvXv3zNRC87Fo0SK2atWKqampxS7B/88//0x/f38O\nHTpUZ+y1PlWvjqumaCJVDxufQ4osSIZxq14Jij9CfEs5ha0FmpaWxgEDBlAmk7Fhw4aMi4vL83xp\naWlcunQpA8uXpx1ALysrVrS1pVOZMnqVLsyNWoQDAwP5zTffmE2E1Y5V3t7e/Oabb/R2qHr27BnD\nw8Pp4eHBFStWGFwqsKhy+fJlenh4MDo6Osf6op7g/8GDBxw0aBCrVq3KAwcO5LmtPlWvhqoWzd+N\nn2o0XFxCqgTmQYivwCi1QP/66y9WrVqV1tbWnDp1qlYxUp+nvVyu20PUwcFgk6RSqeThw4fZsmVL\nk4uwUqnkzp07WalSJY4aNYqPHj0q0HEuXrzIFi1asEmTJtletMWVjIwMNmrUiF9//bWlm6I3SqWS\nGzdupJeXF2fMmJHvVIi+Va+CIaWe1BTfHpDypReXZCIC8yDEV0DSeLVAlyxZQjs7O7q7u/OXX375\nb72BI+zyZcrwg3ffNegalEolDx06xNDQUFavXp2bN29+IUH9kydPGB0dXSBT982bN9mtWzfWqlWL\nx44dM2hfbWRlZXHNmjX09PTktGnT+PTp00If0xLMnTuXnTp1KjbhVDdu3GD79u0ZEhLCc+fO6bWP\nvlWvAgBuzHU/DwP4unoUXMTTaArMhxBfwQsU1lSYkpLCbt26USaTMTQ0lGtWry6wh2id2rW5detW\ngzyFlUolDx48yBYtWrB69ercsGEDt2zZwtCgIDrZ2NDf2Zn+zs50srHRy9StUCi4cOFCuru7c968\neUafr3zw4AGHDBlCX19f7t6926jHNjXnz5+np6cn79y5Y+mm5ItCoeD8+fPp7u7OBQsWGGQd0bfq\nlbaRb3dIxUqE+Ao0EeIrMBlRUVGsWLEiHSB5fL4L3XWDtXmJbgHo5uDA9u3b083NjePHj+fZs2f1\nHmEplUrOmjWLztbWbCqT6TR1hzk76zR1nzlzhsHBwWzfvr3JE98fOnSI1atXZ48ePXjr1i2TnssY\npKWlsW7duty8ebOlm5IvZ8+eZUhICDt06PDCvHR+PH/+nLt376aDlVWeVa9WqEa5mnO+SoC+MLzq\nlaDkI8RXYFK2bdvGlra2JMB/oLtusC4v0Vaq0oW3bt3inDlz6O/vz6CgIH711VdMSEjI89yFcSZ7\n8uQJJ0yYwPLly3PLli0vCH5hzNd5kZaWxjlz5tDd3Z0LFy4s0gkZwsPD2atXryJtbk5JSeH06dMN\nyjSWkZHBkydP8qOPPmLbtm3p5OTEZs2asZqXV75Vr36DlNXqEKTc1vMhJad5CuFwJciJEF+BSdH0\nENVcctcN1uUlOiFXh5WVlcWDBw/y1VdfpaurKwcMGMADBw684DVcmDCqKaoczaNHj84h8Glpady2\nbVuBzdeGcO3aNYaFhTEoKIinT582yjGNyYkTJ+jt7W2WNIkFfdDZv38/q1Spwtdee40PHz7UuV1W\nVhb/+OMPLl68mF26dKGLiwuDgoI4depU7t27l8nJyST1q3pF1Si3KkAHlQXnvGp9Uc9hLTAvQnwF\nJkPTQ1TdMeWuG3wPeXuJTsnDVJeQkMBly5YxJCSElStX5ocffsibN29mJ0MYBrAOJDO3D8DRABNz\nneNDlci7QEr2Px9SApHcJf/08dTOy3xdEJRKJbds2cLy5ctz3LhxfPz4sVGOW1hSUlIYGBiYb2x3\nYSjMg058fDwHDx5Mf3//HE5/apRKJa9du8avv/6a/fr1o4eHBwMDAzl27Fh+9913OoW6JOewFpgf\nIb4Ck6Gt0Lp6yV03OC8vUX2cVM6fP88JEybQ3d2ddevWZSt7e74LKQ4zE1Ku6s6QnF/Ux1+tEuVr\nqve7IRVIb+LomGOEUthY6MKSmJjIsWPHskKFCty2bZvFzbwTJ07k4MGDTXb8gj7oKJVKbt68md7e\n3pw2bRpTUlKyP7tz5w6/+eYbDhs2jL6+vvTx8eGQIUO4ceNGg+bXS1oOa4HlEOIrMBl5iS/xX93g\nS6qR75e5Pld7iRriIZqamso6lStrNXX/rBrhqt9PAPhqrm0qAHwLYMugIJJFq7M9efIk69Wrx44d\nO5rc+UsXhw4dYqVKlZiYmGiS4xf0QScmJoadOnVicHAwf//9dyYkJHDHjh0cP348a9SoQTc3N/bp\n04fLly/nP//8U6gHGEs/jAlKBkJ8BSZDs3Shto5JXTf4FnR7ia4H6GBlxV9++YWpqal6n1Oh5Xxv\nAWyl8f4ApLCRvyGNjr+HVN3pLiSP1tWrV9PR1pYB0G263qC6BmeNZRBMZ2bMyMjg559/Tnd3d370\n0Ucv5JE2JU+ePKGfnx9//vlnkxy/W7duLCOTUa7ju9Zc3lZ9718CrGBjQycnJ44YMYLTpk1jSEgI\n5XI5O3fuzAULFvD8+fNGzyRmjMQ0gtKNEF+BSdEsXZhX3WBdXqKbAVbx8GDDhg3p6OjIl156iZMm\nTWJERARv3rz5wghG12h7B0A5coY2aXbiZSB5W/+gWl/J3p6VK1emD/I2XW8AGKhDIEyZy/fmzZvs\n2rVrdgUlczBy5EiOGTPGJMdOS0ujk60tI/L4rtXLGYD1AVaE5ENwFpJzU2hoKOfMmcPjx4+bZW7V\nWIlpBKUTIb4Ck6L2EM2vbjCh3UtU00P02bNnPHbsGD/77DP27NmT3t7erFChAnv16sXPP/+cx48f\n5+XLl18Q3+8gxWEezdWJvwOwOcDbqvcnVe07ALCinR1r+fq+YL7ObbreALCaDvE1dWiJUqnkrl27\nWKlSJQ4bNkxnQQBj8L///Y/+/v7Znr/GDrXS5kmc+7um6sGsHqQQH3+V+Jr6QUcfinoOa0HRQ4iv\nwKSY0kNUqVQyJiaG27Zt48SJE9moUSM6ODjQTibLNnWvVwnvSS3HrwtwVa51fQBOAmgvk9EWeMF8\nndt0vRGSibo8JDP5QEjhJ2rzY15JFYwlYMnJyZwyZQq9vLy4bt06oztkPXr0iD4+Pjxw4IDJQq20\nhaTl/q7VD0xTVK81xVfE0AqKGzKShEBgQr7dvh0zRo7Eb6mpqKznPrcBhDo6YsG6dRgwcKDe50pN\nTUWLevXwXnQ07gCYC2A/gIZath0K4CaA7QB8AJwB0AXAawDO1KqFB//+i9iUlOztdwIYAeBXAMGq\ndbEAsgBUA/AAwDsAfgPwJwBHAL729lgaEQFfX1/IZDJkZGTgyJEj2LlxI67ExMDDxgYA8EihQO2A\nAPQfNQodOnSAnZ0dZDKZ1gWA1vWXLl3CzJkzYW9vj88++ww1atTQe//k5GQ8efIEAODm5oayZctm\nfzZs2DCkpKTgj1OnUFepxJspKegGoIzqO1AA+B+AFc7OuGRlhSWrVhn0P0tKSkJFT088USiyj6nt\nuz4L4FWN77YKgI8BDFK1oZyNDeLi4+Hq6qr3uQUCSyHEV2AWvlq8GAvfew8/pKZqFUJNzgHo5eiI\ntz76CJOmTTP4XBEREVg3ZgwOp6TABoCtxmcyAMmq14kApkMS5xQA3gBGAYiUy9H9o4/w5XvvZYvv\n9wDeALALQOs8zp0JoCwkMWoLwANAokwmiSkAWXo66gN4m9QqYAtkMlyUyeDi7Q25XA5K1qnsBcAL\n63Ivz549w9OnT+Hg4AAnJ6cc+2i+ViqVyMjIgG1aGp4rlVBLVhIAB5kMqTY20nYKBcpC90OMJucA\ndALwBIBSx8OD+gEAAJRKJbKysuCmVCJetU7bd52hOvciAB1V66oAmAfpYQkA/J2ccOTiRVSpUiWf\nVgoERQCzjrMFpRpzeYgW1tTt4ejI2NjYbE/tvEzXuRcFpDntQxpm59u3bzN8+nT62NrqHZ7iY2vL\nd956q8CVjuLi4ti/f39WrVpVq3eyPrG07Zyc6ACwnLW14aFWDg7ctnUrFQoFMzIymJ6ezgcPHvD7\n77/n+PHjWadOHbq6urJLly4MDw9nZQeHPKcJYiFlkvLQWKwhOdENVm0jihYIihNCfAVmxVweogWN\nzy1fpgyrVatGR0dHejk4cCSkIhC6RHMvJM9tJcAESOEx/gCfacxDFrQtnjIZbWxs6O7uzkaNGrFv\n376cMWMGV6xYwX379vHKlSv5Vnv6+eefWaVKFfbv3593794laXicakWAHaC7KMYmSI5r5VSi2Bng\ndkjz9fv27ePMmTP50ksv0dnZme3bt+cnn3zCM2fOMC4ujtu3b+fw4cNpB6lUn67vOguXPb65AAAI\nS0lEQVQ5cyrfgTTHvgxSOJIoWiAobgizs8BiJCUlITExEYA0z2jsubrCmLrT09Px2WefYfbs2bCF\nbtP12wC2QjLVugAIBfAJpDng5mXKoPMHH2D5woXYl5yMnQAiACQAsAHQCMBnkOY0/4Q0X/wHpLnj\n4wDsAXRxccHvly4hLi4ON2/eRGxsbI6/t2/fRrly5VClShX4+/u/8Ldy5crIzMzEvHnzsGbNGnTr\n2hUHv/3W4Pn3JgA+BTAcQBqAWQB+ABADYAWAGgCaA7CGNM++HkBFAEmBgRgwYADCwsJQq1YtREVF\n4dChQzh8+DBu376NVq1aoV27dti6ciXOXbuW5zRBbjTnfHcCWBIcjF8vXNDzqgQCyyLEV1Ci+Xb7\ndkweOxZ1lUqMT0lBd+ScZ90DYIVcjssy2QuOQunp6fDz8sK+5GQ0MPC85wB0sLcHHBxQMzkZJ7Oy\ncBWSY5ccLwrYPwBOQBLixpCctpoDCHN2xug1azBQhwOTUqnE3bt3tQpzbGws7t69C29vb/j7+8PF\nxQVH9u3DcRINACghPSycBnBH1TZNwgEsALAZQE1Izmi3Vd/bh5Ac1I5raVMaJIeozwFsDQhA5/79\ncejQIfz9999o0qQJwsLC0K5dOzRs2BBlykj/DfU8/UENBzdDCJPLMXr1ap3fk0BQ5LDswFsgMD2F\nMXUX2HxtY8NZs2axaZ06elV10lxkAE/AOCE0CoWCsbGxPHz4MMeMGcNQVXlHAlwIsD1erMpDvJjI\nggBrQ6q1rC6KcTcPU7wzwMcA7WQyvvXWWzxy5EieGcpE0QJBaUOIr6BUUZBkCIbOkfrY2jKsdWs2\nadLkhVjh3FWdtAmYpvgacy5TM5b2KqRiFn+ozqcpvroSWeyAlJEsd1EMzeUqpEQl6vhpQ5ygilIe\nbYHA1JTJd2gsEJQgXF1dDZ5bnjRtGrx9fNDFQPN1TEwMwurXR5lnz7KPNUi1PAAwGUBvAKfyOLcN\nALcyZbB//354enoiIyMDCoUi+6/m67w+e/r0Kc5evIjukMzNIyGF7Wj7JmYDCIM0z6tJdwDDIM1F\nL4UUmvU3gNqqz/+GFAY0A8CYfL/VFxkwcCAe3L2L0ALM0xsSVywQFAWE+AoEejBg4ED06t0bu3bt\nwpfz52Po5cvwsJVcgx5lZKBBnToYHx6O3r17w9ZWw2VII6ZVE29oFzBtpKenY/78+XBxcYGNjQ1s\nbGxga2ur9W/udQ4ODrC1tUVSUhLcbWxQJj0dX0Ca3+0BKcmIJmcB7IDkAJYbG6jilgHYqdbJVX/P\nA+gMaS54vGqdQvXduLm55XF1OSnog45AUNwQDlcCQQHQx1NbnbnpsUIBGy3HuAugEoBbAHw11lvh\nP4crY2VuiomJQVhQECJTUtAWksh6QxLfqgD+BeAJ7YksPoKUNGMAJGewbZAcsRIgZaA6AaArgIWQ\nkpSoKYwHckZGBnbt2oUV8+fjvL4POgJBMUKIr0BgQloGB2Pqn3+iF4DlkATME5J38UT8J2CA5CVM\nAE4ADgFoBinr1VIjhNCoHwSWKBR4E/+NWJUAHgMoBylb1AQAmuPUx5A8l+WQsnc9hPSg0A3AHEgj\n4Xaqa3DIdc7qDg6YsX59oT2QTR2SJhBYAiG+AoEJUYfQRKakoCukEeczSKLVBf8J2E1II1BAim1V\n/yhr2tvjgw0bjBJC0zI4GOP//DNHesx/IYn8WUixyZqBPlR9Fg5pnvowgCX472EhL85BilG+HR8v\nRqcCgRasLN0AgaAk07t3b1yyssIFAD9BcrRKgSS2yyEJLwD4QxqFKiEValAC+B1Aoq0tevfubZS2\njA8PxzpnZ/gA2Ys3JLEvDylJiOZnFSElzSinWlbgv/ncvLgNyRFqyapVQngFAh0I8RUITIidnR2W\nrFqFng4OuG3AfqYQMPWDwHmNdf6QxD53gg01sZBGvecA/AXJOzsvzkGqRiU8kAWCvBHiKxCYmAED\nB+KtefMQ6uCAc3psbyoBK8yDQHdbWyjs7fGKszN2QZr/VaOA5FwVJpeji4sLFqxbV6BqVAJBaUKI\nr0BgBiZNm4YF69eji4sL2ltQwAr6IBD+6ad4mJSE19eswZfBwShrYwN/Jyf4OzmhnI0NlgQHY/Tq\n1bgdHy9GvAKBHgiHK4HAjBSVEJrC5LwGhAeyQFBYhPgKBBbC0gJWVB4EBILSiBBfgUBg8QcBgaC0\nIcRXIBAIBAIzIxyuBAKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8\nBQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKB\nQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAw\nM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8\nBQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKB\nQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAw\nM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8\nBQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKBQCAwM0J8BQKB\nQCAwM0J8BQKBQCAwM/8H1ZN+XwMFLVUAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tutte=nx.tutte_graph() \n", "nx.draw(tutte, node_size=300, with_labels=True, font_size=13)\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFBCAYAAAA2bKVrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3XlclOX+//EXpKhNmhtaZiQ5KoiYQmqYHM0tT2qLfVvN\nxNL8puVJNE+bIGpprmXZZqUej2XLV/PIryyxJAg0RZNFQRCUKFNMyhxRlJnfH6DHZUCQmbmBeT8f\nj3k4cS/zmW7lfV/Xfd3X7WGz2WyIiIiIy3gaXYCIiIi7UfiKiIi4mMJXRETExRS+IiIiLqbwFRER\ncTGFr4iIiIspfEVERFxM4SsiIuJiCl8REREXU/iKiIi4mMJXRETExRS+IiIiLqbwFRERcTGFr4iI\niIspfEVERFxM4SsiIuJiCl8REREXU/iKiIi4mMJXRETExRS+IiIiLqbwFRERcTGFr4iIiIspfEVE\nRFysjtEFuJOsrCzi4uLYnpjIwdxcAFr6+BAUEkJoaChms9ngCkVExBU8bDabzegiarvo6GgWREWx\nKy2Nfp6eBFsstC5dlgckmUxstFrpGBBAeGQkQ4YMMbJcERFxMoWvE+Xn5zMuLIyU2FiiLBbuAbzK\nWLcIWANEmkx07tOHxUuX4u3t7bpiRUTEZRS+TpKdnU3/nj0ZVlDAjKIiGlRwu0JgqpcXq5s0YWNi\nIr6+vs4sU0REDKDwdYL8/Hx6BAYyKT+f8VbrZe1jsacn87292ZKSohawiEgto9HOTjAuLIxhR47Y\nDd484GkgBLiSkgOQa2cf461WhhUUMH7UKKfWKiIirqfwdbB169aREhvLzFOn7C7PAj4DmgF/u8S+\nZhQVkbxpE9HR0Q6uUkREjKRuZwfr260bY7dt44EyltsAj9L37wNPAPsAnzLWXwUs6daNjT/+6NA6\nRUTEOGr5OlBmZia70tK4p5x1PMpZZs8wIC01laysrCpUJiIi1YnC14Hi4+Pp5+lZ5u1El8ML6Ovp\nSXx8vAP3KiIiRlL4OtD2xESCLRaH7zfYYiEpIcHh+xUREWMofB3oYG7u2ZmrHKl16b5FRKR2UPiK\niIi4mMLXgVr6+JDnhP3mle5bRERqB4WvAwWFhJBkMjl8v0kmE8E9ezp8vyIiYgyFrwOFhoay0Wql\n6BLrfV76Sir97y9L//t7O+sWAd9arfTq1ctxhYqIiKH0PF8HMpvNdAwIYE05k2wA3H/Oew9gXOn7\nPsC3F6y7GmjarJnmdxYRqUXU8nWwiRERRJpMFJazjvWcV/E57y8M3kIgokEDWprN3HjjjTz33HMc\nOHDAKXWLiIjrKHwdbOjQoQT27s1Ur6pPtTHVy4suffvy3XffkZSUxPHjxwkICGDs2LGa8UpEpAZT\n+DrBW8uWsbpJExZ7Xv7/3sWenqxp2pTFS5cC0KZNGxYtWkRGRgYtW7YkJCSE+++/n6SkpEvsSURE\nqhuFrxN4e3uzMTGR+d7eTPbyKrcL+kKFwCQvLxa0aEFMQsJF13q9vb2ZPn06OTk5hISEcPfddzNg\nwAA2btyInpEhIlIzKHydxNfXly0pKeQOGEBXk4lVUO4o6CJKnmDU1WQib+BANicn4+vrW+b6V111\nFRMnTmTv3r0MHz6cp556iu7du/P5559TXFzs4G8jIiKOpEcKukB0dDQLp08nLTWVvp6eBFssZ6eh\nzKPkPt5vrVYCOnViYkQEQ4YMqfRnWK1W1q1bx+zZs/n999959tlnefTRR6lXr55Dv4uIiFSdwteF\nsrKyiI+PJykh4exczS19fAju2ZNevXphNpur/Bk2m424uDhmz57Nzp07eeaZZxg7diyNGjWq8r5F\nRMQxFL612M6dO5kzZw5ff/01TzzxBP/4xz9o2bKl0WWJiLg9XfOtxW666SZWrlzJ1q1bOXr0KP7+\n/jz55JPs3bvX6NJERNyawtcN+Pr68uabb5Kenk7z5s3p0aMHDz74IDt27DC6NBERt6TwdSMtWrRg\nxowZ5OTk0K1bN4YOHcrtt9/Od999p9uURERcSNd83djJkydZuXIlc+bMoVGjRjz33HPcfffdeFZh\nchAREbk0ha9gtVpZu3Yts2fP5s8//+TZZ5/lkUce0W1KIiJOovCVs2w2G7GxscyePZvU1NSztyk1\nbNjQ6NJERGoV9S/KWR4eHvTp04f169ezbt06kpKS8PX15aWXXuLQoUNGlyciUmsofMWurl278vHH\nH7NlyxaOHDmCn58f48ePJzs72+jSRERqPIWvlKtt27a89dZb7N69m8aNG9O9e3cefvhhdu7caXRp\nIiI1lsJXKqRly5a8/PLLZGdnExQUxB133MHf//53YmNjdZuSiEglacCVXJaTJ0+yYsUK5s6dS5Mm\nTXjuuee48847dZuSiEgFKHylSoqLi/niiy+YPXs2x44dY8qUKQwfPhwvLy+jSxMRqbYUvuIQNpuN\n7777jtmzZ7N7924mTpzImDFjdJuSiIgd6iMUh/Dw8KBv37588803rF27li1btnDjjTcydepU8vPz\njS5PRKRaUfiKwwUFBfHJJ5+QmJhIfn4+HTp04Omnn2bfvn1GlyYiUi0ofMVpzGYz77zzDrt27eKq\nq64iODiYRx55hOTkZKNLExExlMJXnO6aa65h1qxZZGdn07lzZwYNGsTgwYOJi4vTbUoi4pY04Epc\n7sSJE/zrX/9i7ty5eHt789xzzzFkyBCH3KaUlZVFXFwc2xMTOZibC0BLHx+CQkIIDQ3FbDZX+TNE\nRKpK4SuGKS4uZvXq1bz66qsUFhYyZcoUHnroocu6TSk6OpoFUVHsSkujn6cnwRYLrUuX5QFJJhMb\nrVY6BgQQHhnJkCFDHPpdREQqQ+ErhrPZbGzcuJHZs2ezZ88ewsPDGT16NFddddUlt83Pz2dcWBgp\nsbFEWSzcA5QV3UXAGiDSZKJznz4sXroUb29vB34TEZGKUfhKtbJt2zZeffVVYmNjefLJJ3n66adp\n3ry53XWzs7Pp37MnwwoKmFFURIMKfkYhMNXLi9VNmrAxMRFfX1+H1S8iUhEacCXVys0338xnn31G\nfHw8Bw4coH379kyYMIH9+/eft15+fj79e/ZkUn4+8yoRvAANgHlFRUzKz6dfSIjuQxYRl1P4SrXU\nvn173nvvPdLS0mjQoAFBQUE8+uijpKamAjAuLIxhR44w3mq9aNs+lPzFtvf6+znrjbdaGVZQwPhR\no5z8bUREzqduZ6kR/vjjD9555x1ef/11rr/+ev5ISSH5xAnq21l3N/DXBT9LAMKBt4D/PefnhUBX\nk4l5q1ZpEJaIuIzCV2qUwsJCuvv58VJuLg9UYrvHgY+AA0DjC5atApZ068bGH390VJkiIuVSt7PU\nKHl5eeTn53NPJbY5DnwGDOXi4AUYBqSlppKVleWIEkVELknhKzVKfHw8/Tw9y7ydyJ41wDFgZBnL\nvYC+np7Ex8dXuT4RkYpQ+EqNsj0xkWCLpVLb/AtoyfmDrS4UbLGQlJBQldJERCpM4Ss1ysHc3LMz\nV1XEr8BGYDjl/2VvXbpvERFXUPhKrfZvwErZXc4iIkZQ+EqN0tLHh7xKrL8c6AIEXmK9vNJ9i4i4\ngsJXapSgkBCSTKYKrbuNknt+K9LqTTKZCO7ZsyqliYhUmMJXapTQ0FA2Wq0UVWDdfwF1KLneW54i\n4FurlV69elW5PhGRilD4So1iNpvpGBDAmkusd4qSyTP+Dth/LMN/rQYaN2lS5gMcREQcTeErNc7E\niAgiTSYKy1mnLnAIWHuJfRUCkQ0a0Nrfn3bt2jFjxgyOHj3qsFpFROxR+EqNM3ToUAJ792aqV2Wm\n2rBvqpcXN/XtS0xMDD/88AN79uzBbDYza9Ys/vrrwhmiRUQcQ+ErNdJby5axukkTFnte/l/hxZ6e\nrGnalMVLlwIlT1JasWIF33//PSkpKZjNZubMmYOlkpN6iIhcisJXaiRvb282JiYy39ubyV5e5XZB\nX6gQmOTlxYIWLYhJSMDb2/u85X5+fnz00Ud8++23JCUl0bZtW+bPn8/x48cd+h1ExH0pfKXG8vX1\nZUtKCrkDBtDVZGIVlDsKuoiSQVhdTSbyBg5kc3Iyvr6+Za4fEBDAJ598woYNG0hMTMRsNvP6669T\nWFiZqBcRuZgeKSi1QnR0NAunTyctNZW+np4EWyxnp6HMAxLq1uWHOnUI6NSJiRERl/Xs3p9++olp\n06axdetWnn/+eUaPHk39+vaeKCwiUj6Fr9QqWVlZxMfHk5SQcHau5kKrlZ8PHeLzzz/HbDZX+TOS\nkpKYNm0aP/30Ey+88AKPPfYY9erVq/J+RcR9KHyl1ktPT2fIkCEOf17vjz/+SGRkJLt27eKll14i\nLCyMunXrOvQzRKR2UvhKrXfq1CkaNmzIH3/84ZRu4sTERCIjI8nMzGTq1KmMGDFCISwi5dKAK6n1\n6tatS5s2bRze8j0jJCSEb775hhUrVrBy5Ur8/f1Zvnw5p0+fdsrniUjNp/AVt+Dv7096erpTP6NX\nr15s3LiR999/nw8//JCOHTuycuVKiouLnfq5IlLzKHzFLfj5+Tk9fM/o06cPmzZt4u233+btt9+m\nU6dOrFq1CqvV6pLPF5HqT+ErbsGV4Qvg4eFBv379iIuL4/XXX+e1116jc+fOfPbZZwphEVH4intw\ndfie4eHhwcCBA0lMTGTu3LnMmTOHLl26sGbNGjTWUcR9abSzuIU//viD66+/nqNHj+Lh4WFYHTab\njejoaCIjI7HZbERFRTF06FBDaxIR11P4itu49tpr2bp1K61bt770yk5ms9lYu3YtkZGR1K1bl6io\nKO644w6FsIibULezuA0/Pz92795tdBlASXf03XffzY4dO3j++ef55z//yS233ML69evVHS3iBhS+\n4jaMuu5bHk9PT+69916Sk5OZNGkS4eHh3HrrrcTExCiERWoxha+4jeoYvmd4enpy//33k5KSwlNP\nPcX48ePp3bs3mzZtMro0EXECha+4jeocvmdcccUVPPzww6SlpTFmzBhGjx7Nbbfdxvfff290aSLi\nQApfcRuumOXKUerUqcOIESNIT09n5MiRhIWF0b9/fxISEowuTUQcQKOdxW1YrVYaNmzIgQMHaNSo\nkdHlVMqpU6dYvnw5M2fOxM/Pj6ioKHr06GF0WSJymdTyFbfh6elJhw4dyMjIMLqUSqtbty6jR49m\nz5493HPPPdx3330MHjyYbdu2GV2aiFwGha+4lZpw3bc8Xl5ejB07lszMTO644w7uvvtu7rzzTnbs\n2GF0aSJSCQpfcSs1PXzPqFevHuPHjycrK4v+/fszePBghg0bRnJystGliUgFKHzFrdSW8D2jfv36\nTJgwgb179xIaGsrAgQO57777SE1NNbo0ESmHwlfcSnWa5cqRGjRowMSJE9m7dy/du3enX79+PPjg\ng7Xyu4rUBgpfcSvt2rUjOzubU6dOGV2KU5hMJp599ln27t1Lly5d6N27N4888gh79uwxujQROYfC\nV9xKgwYNaNWqFTk5OUaX4lRXXXUVzz33HFlZWfj7+3PrrbcycuRIsrKyjC5NRFD4ihuqSZNtVFWj\nRo148cUXycrK4sYbb+SWW27hscceIzs72+jSRNyawlfcTm0bdFURV199NZGRkWRmZtK6dWu6devG\nmDFj2L9/v9Glibglha+4HXcM3zOaNGnC9OnT2bNnDy1atCAoKIgnn3ySn3/+2ejSRNyKwlfcjjuH\n7xnNmjXj5ZdfJiMjg6uvvpqbbrqJp556il9++cXo0kTcgsJX3M6Z8NW05tC8eXNmz55Neno69evX\nJzAwkGeeeYYDBw4YXZpIrabwFbfTvHlzPDw8yM/PN7qUaqNFixbMmzePXbt24eHhQUBAAJMmTeLg\nwYNGlyZSKyl8xe14eHjU2sk2quqaa65h4cKFpKamUlRUhL+/P1OmTNGJioiD6ZGC4pYef/xxunfv\nztixY40upVr7+eefmTVrFqtWreJ///d/mTRpEs2aNavSPrOysoiLi2N7YiIHc3MBaOnjQ1BICKGh\noZjNZkeULi6gY3n5FL7ilubOncuvv/7KwoULjS6lRti/fz8vv/wy//d//8e4ceMIDw+nSZMmldpH\ndHQ0C6Ki2JWWRj9PT4ItFlqXLssDkkwmNlqtdAwIIDwykiFDhjj8e4hj6Fg6gE3EDa1bt842aNAg\no8uocbKzs22PPfaYrWnTprbIyEhbQUHBJbc5dOiQ7X/uuMPWwWSyrQLbSbDZynidBNsqsHUwmWz3\nDR5sO3TokAu+lVSUjqXj6JqvuCXdbnR5fH19+eCDD9iyZQv79u2jXbt2zJw5k6NHj9pdPzs7mx6B\ngdwQE8MOi4UHAK9y9u8FPADssFjw2bCBHoGBtX4q0JpCx9KxFL7iltq0acNvv/3G8ePHjS6lRjKb\nzSxbtowffviBjIwMzGYzs2bN4q+//jq7Tn5+Pv179mRSfj7ziopoUIn9NwDmFRUxKT+ffiEhGvBl\nsLKO5efA3YAPcCXgB7wAHDtnWx1L+xS+4pbq1KlD27ZtyczMNLqUGq19+/asWLGC2NhYkpOTMZvN\nzJkzB4vFwriwMIYdOcJ4q/Wi7X4G/gdoDFwN3Fv6swuNt1oZVlDA+FGjnPo9pHxlHcv5QF1gNrAe\neBJ4GxgAXDiYSMfyfApfcVvqenYcf39/Pv74Y7799lu2bdtG69at2R4Tw0w7j248DvQF9gD/AlYA\nmcBtpcsuNKOoiORNm4iOjnbiN5CyrFu3jpTYWLvHMhr4DHgY+BvwD2ARsAXYZGdfOpb/pfAVt6Xw\ndbyAgAA+/fRT/Fq14pWiIurbWWcJkAN8AdxZ+voPsB941876DYBpFgsLp093VtlSjoXTpxNlsdg9\nlvZuOru59M9f7SzTsfwvha+4LU204RyZmZnk5ORwTxnL/wOEADee87M2wK3A2jK2GQakpabqecQu\nlpmZya60tDKPpT2xpX/6l7Fcx7KEwlfcllq+zhEfH08/T88yR8KmAZ3s/LwjsKuMbbyAvp6exMfH\nO6JEqaBLHcsL/QJEUHLNN6iMdXQsSyh8xW116NCBPXv2YLUzIEgu3/bERIItljKXFwD2pudoWrqs\nLMEWC0kJCVWsTirjUsfyXMeAuygJ16WXWFfHEuoYXYCIURo2bEizZs3Izc2lTZs2RpdTaxzMzSXU\nCfttDSyJjuaRRx45+0Qqm82m96XvnbHvwoMHeaMCx6YQGArso6TbudUl1m8NbCmdjtJdKXzFrZ3p\nelb4uk4T7Ldwj1DS+i1Ps+bNuf322/Hw8MDDwwNA78957+j9TQgLg++/L/eYnKLktrHtwAYgoNy1\n5QyFr7i1M+E7aNAgo0upNVr6+JBXzvIAINXOz3dRct23LHlA0C23MGLEiKqUJ5XQpkMH8soJXysw\nnJLbiqKB7hXcbx4lf0/cma75ilvToCvHCwoJIclkKnP5ncBmSm43OmMfkFC6rCxJJhPBPXs6okSp\noEsdy/GUzHIVTsltRJvPef1Szn51LBW+4uYUvo4XGhrKRquVojKWj6Hk1qK7KLnt6D+l732Ash7w\nWAR8a7XSq1cvB1cr5bnUsVwPeAAvAz0veH1QxjY6liUUvuLWFL6OZzab6RgQwJoyll8JfAu0B0YA\njwBtS392ZRnbrAYCOnXS82Fd7FLHMgcopqT7+cJXRBnb6FiWUPiKW2vVqhUWi4WCgvJucpHKmhgR\nQaTJRGEZy6+npLvyT+AoJb+Qy7oCWAhMM5mYGFHWr3Nxpksdy8rQsfwvha+4NQ8PD7V+nWDo0KEE\n9u7NVK+KTs9QtqleXnTu00cPZDeIjqVzKHzF7Sl8neOtZctY3aQJiz0v/9fMYk9P1jRtyuKll5q2\nQZxJx9LxFL7i9vz9/RW+TuDt7c3GxETme3sz2curUt2WhcAkLy8WtGhBTEIC3t7ezipTKkDH0vEU\nvuL21PJ1Hl9fX7akpLAnNJQOwCooc+QspctWAV1NJvIGDmRzcjK+vr4uqVXKd+ZY7uvXjw4eHjqW\nVaRJNsTtKXydy9vbm8atWnHLffexZN8+nklNpa+nJ8EWC61L18mj5N7Pb61WAjp1Yl5EhK4LVkPe\n3t4MuOsusn/7jSV16uhYVoGH7cxkniJu6uTJk1x99dUcPXoULwcMKpHzbd26lbvuuouMjAwaNmxI\nVlYW8fHxJCUkcLB0ft+WPj4E9+xJr1693P4WlOrsxIkTtGvXjs8//5wePXroWFaBwlcEaN++PWvX\nrsXfv6ynkMrlsNls/O1vf2PkyJGMHj3a6HKkit544w2+/vproqOjjS6lxlO3swj/7XpW+DrW//3f\n//HXX38xatQoo0uRKjp+/DizZs1S8DqIwlcEXfd1hpMnTzJlyhSWLFnCFVdcYXQ5UkVvv/02t9xy\nC0FBQUaXUisofEUoCd9NmzYZXUatsmjRIjp16kS/fv2MLkWq6NixY8yZM4eYmBijS6k1dKuRCGr5\nOtqhQ4d49dVXmTt3rtGliAO8+eab3HbbbQQGBhpdSq2hAVciwJEjR2jTpg1//vnn2YeJy+UbN24c\ndevW5fXXXze6FKmio0ePYjab+f777/Hz8zO6nFpD3c4iQNOmTWnQoAEHDhygVatWRpdTo6WlpfH5\n55+rJ6GWeO2117j99tsVvA6m8BUpdabrWeFbNZMnT+bFF1+kadOmRpciVVRQUMCiRYvYvHmz0aXU\nOrrmK1JK132rbv369ezdu5cnn3zS6FLEAebPn89dd92lyTKcQC1fkVIK36o5ffo0kyZNYt68eZop\nrBY4fPgwb7/9NklJSUaXUiup5StSSuFbNUuWLOGaa65h6NChRpciDjB37lzuv/9+2rRpY3QptZJG\nO4uUysnJoXfv3uSWzlErFffHH3/g5+fH+vXr6dKli9HlSBUdPHgQf39/kpOTad269aU3kEpT+IqU\nKi4upmHDhhw6dIirrrrK6HJqlClTpnDkyBHef/99o0sRB5g4cSLFxcUsWrTI6FJqLV3zFSl1xRVX\n0K5dOzIyMggODja6nBojOzubDz/8kJSUFKNLEQf45ZdfWL58OWlpaUaXUqvpmq/IOfz9/XXdt5Km\nTJnCxIkTufbaa40uRRzglVde4bHHHtPxdDK1fEXOoUFXlRMXF8fWrVtZsWKF0aWIA+zfv59Vq1bp\n34ALqOUrcg6Fb8VZrVYmTpzIrFmzaNCggdHliAO8/PLLjB07Fm9vb6NLqfXU8hU5h8K34lauXEmd\nOnV46KGHjC5FHCA7O5vVq1ezZ88eo0txCxrtLHKO48eP06xZM44dO6Zn0JbDYrHg5+fHJ598Qs+e\nPY0uRxwgLCyMG264gaioKKNLcQtq+Yqc48orr6Rly5bs27ePtm3bGl1OtTVv3jxuvfVWBW8tkZGR\nwf/7f/+PzMxMo0txGwpfkQuc6XpW+Nr3yy+/sGjRIk07WItERUXxzDPP0LhxY6NLcRsacCVyAT8/\nP3bv3m10GdXWiy++yBNPPKFpB2uJtLQ0Nm7cyIQJE4wuxa2o5StyAT8/P7Zt22Z0GdVSUlISX3/9\nNRkZGUaXIg4ybdo0Jk+eTMOGDY0uxa2o5StyAY14ts9msxEeHk5UVBSNGjUyuhxxgJ9++on4+HjG\njx9vdCluR+ErcgHNcmXfmjVrKCgo4PHHHze6FHGQyMhI/vnPf3LllVcaXYrb0a1GIhew2Ww0bdqU\nzMxMmjdvbnQ51cLJkycJCAjgnXfeoX///kaXIw6wdetW7rnnHrKysqhfv77R5bgdtXxFLuDh4aGu\n5wu8+eab+Pn5KXhrkYiICF544QUFr0E04ErEjjPh26tXL6NLMdzhw4eZPXs2cXFxRpciDpKQkMCu\nXbv44osvjC7FbanlK2KHWr7/NW3aNB588EH8/PyMLkUcJCIigqlTp1KvXj2jS3FbavmK2OHn56eW\nHrBr1y4++eQTnYjUIrGxseTk5DBy5EijS3FravmK2KGWb4lnn32WF154gWbNmhldijiAzWZj6tSp\nREREULduXaPLcWtq+YrYceONN5KXl8eJEyfcdkDKN998w549e1izZo3RpYiDxMTEcPDgQYYPH250\nKW5PLV8RO+rWrYuvr6/bTjR/+vRpwsPDmTt3Ll5eXkaXIw5wptU7bdo06tRRu8toCl+RMrjzZBsf\nfPAB3t7e3HXXXUaXIg7y1VdfcezYMR544AGjSxE0yYaIXVlZWTzzzDMU/PYb15VOtNHSx4egkBBC\nQ0Mxm80GV+g8f/75Jx06dOCrr76ia9euRpcjDmCz2ejWrRvPP/889957r9HlCLrmK3Ke6OhoFkRF\nsSstjb9ZrfQ9eZLWpcvygJiPPuJ5q5WOAQGER0YyZMgQI8t1ilmzZnHHHXcoeGuRtWvXcvr0ae65\n5x6jS5FSavmKAPn5+YwLCyMlNpYoi4V7gLKudBYBa4BIk4nOffqweOlSvL29XVesE+Xk5HDzzTeT\nkpJCq1atjC5HHMBqtdKlSxdmzpzJnXfeaXQ5UkrXfMXtZWdn0yMwkBtiYthhsfAAZQcvpcseAHZY\nLPhs2ECPwEBycnJcU6yTPffcczzzzDMK3lrk888/p379+gwdOtToUuQcavmKW8vPz6dHYCCT8vMZ\nb7Ve1j4We3oy39ubLSkpNboF/MMPP/DQQw+Rnp6up9zUEsXFxQQGBrJgwQIGDRpkdDlyDrV8xa2N\nCwtj2JEjFQreQZT8g5l6wc/HW60MKyhg/KhRzijRJaxWKxMnTuSVV15R8NYiq1atokmTJtx+++1G\nlyIXUPiK21q3bh0psbHMPHXqkut+DCSXvvews3xGURHJmzYRHR3tyBJd5uOPPwbg4YcfNrgScZTT\np08TFRXFjBkz8PCw97dWjKTwFbe1cPp0oiwWLjV/VQEQDiwsZ50GwDSLhYXTpzusPlc5fvw4zz//\nPAsWLMDTU78SaosVK1bQqlUrbrvtNqNLETv0L03cUmZmJrvS0qjIjRf/BAIpGWRVnmFAWmoqWVlZ\nVa7PlRYsWMAtt9yixyfWIkVFRUyfPl2t3mpM9/mKW4qPj6efp2e5o5oB4oEV/LfLuTxeQF9PT+Lj\n42vMJBxYv82MAAAZd0lEQVS//vorr732Glu3bjW6FHGgpUuX0q5dO0JDQ40uRcqglq+4pe2JiQRb\nLOWuUwSMBZ4F2lVwv8EWC0kJCVWsznVeeuklHn/8cXx9fY0uRRzkxIkTzJw5kxkzZhhdipRDLV9x\nSwdzc7lUm2AOcBJ4sRL7bQ1syc297LpcaceOHXz55ZdkZGQYXYo40Pvvv89NN91Ejx49jC5FyqHw\nFbEjF3gZ+AAoLH2dcQL4E2hIze06stlshIeHM23aNK6++mqjyxEHKSwsZNasWaxbt87oUuQSaurv\nDpEqaenjQ145y7MpafU+AjQ95wUwD2gCpNrZLg/45fBhPvvsM1JTUzlx4oQDq3ac//znP+Tn5zN6\n9GijSxEHevvtt+nevTtBQUFGlyKXoBmuxC0tXbqUmKefZmUZ133/BHZe8DMbcBswAngcCAZMF6xz\nX716HO/XDy8vL9LT08nJyaF169b4+fnh5+eHv7//2ffNmjVz8LeqmKKiIgICAli8eDEDBw40pAZx\nvGPHjmE2m/nmm2/o3Lmz0eXIJSh8xS1lZWXRq3NncgsLLzni+VyewEuAvbt5iwCfBg2IT04+O9r5\n1KlT7N27l/T09PNeu3fvxsvL67wwPvO64YYbuOKKK6r+JcuwcOFCNmzYwJdffum0zxDXmz17Njt2\n7OCTTz4xuhSpAIWvuK2+3boxdtu2S96/e67ywncVsKRbNzb++OMl92Oz2fjtt9/OC+Mz7w8fPky7\ndu3OC2R/f3/at29f5akff//9d/z8/IiNjaVjx45V2pdUH0ePHsVsNhMbG4u/v7/R5UgFKHzFba1b\nt45J99/PzhMnaFDFfRUCXU0m5q1aVeVn/B47dow9e/acF8jp6elkZWXRsmXLi7qv/fz8aNGiRYUm\nU5gwYQLFxcUsXry4SjVK9TJjxgz27NnDihUrjC5FKkjhK26pqKiImTNnsmj2bEbZbCw8fbpK+5vs\n5UXugAF86sS5nYuLi8nJybmo+3r37t0AF3Vf+/n5ceONN1KnTslNDenp6YSGhrJ7926aN2/utDrF\ntQoKCmjXrh2JiYm0a1fRO9LFaLrVSNzOTz/9xMiRI/Hx8SEuKYm7BgzAXMVHCq5p2pTNS5c6uNLz\nXXHFFZjNZsxm83mta5vNxuHDh88L5E2bNpGens6BAwe48cYb8fPzIzk5mQEDBrBv3z7q1atHw4YN\nnVqvuMaCBQu48847Fbw1jFq+4jZOnTrFK6+8wuLFi5k3bx4jRozAw8ODnJwc+oWEMKyggBlFRRXu\ngi4EXvLy4oumTYlJSKiWs0QVFhaSmZnJp59+yltvvUX//v3JzMxkz549NGnSxG4XdqtWrTQfcA1x\n+PBhOnTowLZt26rl3z8pm8JX3MLOnTsJCwujVatWvPfee1x33XXnLc/Pz2f8qFEkb9rENIuFYVDm\nKOgiYDUwzWTipttu480PP8Tb29vJ3+DyFRcX07VrV6ZNm8awYcOAkuf35ubmXtSFnZ6eTmFh4UXd\n1/7+/rRt2xYvr8qMDRdn++c//8mff/7JO++8Y3QpUkkKX6nVTp06xezZs1m0aBFz5swhLCys3FZd\ndHQ0C6dPJy01lb6engRbLLQuXZYH/FCnDt97eHBTly5MjIio8uAqV1iyZAn//ve/2bRpU4VatEeO\nHCEjI+OiUdi5ubnccMMNdu9Zbty4sQu+iZzr4MGD+Pv7s3PnTq6//nqjy5FKUvhKrZWamsrIkSPx\n9vZmyZIllfoFlZWVRXx8PEkJCRwsnau5pY8PHvXr8+OPP7J582Znle1Qf/31F+3btyc6Oprg4OAq\n7evkyZPs3bv3olHY6enpmEwmu13Y119/vZ4R7CTh4eGcPn2aRYsWGV2KXAaFr9Q6p0+fZs6cOSxc\nuJBZs2bx+OOPO+wapsVi4dprryU3N7dGtPZeeOEFfv31V5YtW+a0z7DZbPzyyy92u7D/+OMPOnTo\ncFEXdrt27ahfv77Taqrtfv31Vzp16kRaWhrXXnut0eXIZVD4Sq2ya9cuRo4cSePGjfnggw/w8fFx\n+GcMHjyYESNG8OCDDzp83460b98+goODSU5Ovugat6scPXqUjIyMi1rL2dnZXHfddXa7sN39Nqis\nrCzi4uLYnph4Xq9LUEgIoaGhmM1mnnrqKerVq8f8+fMNrlYul8JXaoXTp08zf/585s2bx8svv8yY\nMWOcNmL3nXfeIS4ujpUrVzpl/47y0EMP4efnR2RkpNGlXOTUqVNkZ2fbnXazTp06dqfdbNOmjVOn\n3TRadHQ0C6Ki2JWWRj874w2STCY2Wq2Y27VjZ3Y2e/fupUWLFkaWLFWg8JUab/fu3YSFhXHVVVfx\nwQcf0KZNG6d+Xl5eHjfddBMHDx48O4FFdZOYmMj9999/9npsTWGz2Th48KDdaTcPHTp03rSbZwK6\nffv2Neo7Xig/P59xYWGkxMYSZbFwD+WPtF8DPF+3LjcPHMjipUur9Uh7KZvCV2qs4uJiFixYwJw5\nc5g+fTpjx4512eCeoKAgFi5cSO/evV3yeZVhs9kICQlh3LhxPProo0aX4zAWi8XutJuZmZm0aNHC\n7oCvli1bVut7lrOzs+nfs+dl3WM+1cuL1U2asDExUff41kAKX6mRMjIyGDVqFPXq1ePDDz90+S+f\nyMhILBYL8+bNc+nnVsTHH3/M/Pnz+fHHH91ipHFxcTH79u2z24VdXFxs957lc6fdNEp+fj49AgOZ\nVMXZ1eZ7e7MlJUUt4BpG4Ss1SnFxMa+//jqvvPIK06ZNY9y4cYYEzLZt2xg+fDgZGRku/+zynJkg\n49///jehoaFGl2O4C6fdPPP+l19+OTvt5rkt5g4dOtCoUSOX1Hbf4MHcsGED806dsrv8S2A2sIOS\np2m1B+ZQ8kzpc7liXnFxPIWv1BiZmZmMGjUKT09Pli5dStu2bQ2rxWq1ct111xEbG0v79u0Nq+NC\nr7zyCtu3b+fzzz83upRqrbCwkKysrIu6sDMyMmjcuLHdLuzrrrvOYV3Y69at49mHHuIniwV7N1y9\nCzxd+roDKAZ2AgGl/33ed8FxT9QS11H4SrVntVp54403mDFjBhERETz11FPVojt1zJgx+Pv7Ex4e\nbnQpAPz222906tSJLVu2GHpiUpNZrVZ+/vlnu/csWywWu13YZrO50tNulvcs6X2AP/AqMKGC+6vM\ns6SlelD4SrWWlZXFY489htVqZenSpdXqyS3/+c9/WLhwId99953RpQAlJwONGzdm7ty5RpdSKxUU\nFNiddnP//v34+PjYvWe5SZMmF+0nMzOT0JtuIrew0O6o5ghgIfA7ZY96vlAR4NOgAfHJyZjN5sv+\njuI6Cl+plqxWK4sXLyYqKooXX3yRCRMmVLt7PI8fP84111zD/v377f6SdaWdO3dy++23k56eXiNm\n3qpNioqKyMrKumjAV3p6Og0aNLio+zolJYWfoqJYabHY3V9f4CjwFDADyAXaABOBceXU8bDJxMA3\n3yQsLMyh30+co3repChuLTs7m8cee4yioiJ++OEHOnToYHRJdl155ZX87W9/Y/369Tz00EOG1WGz\n2QgPDyciIkLBawAvLy86duxIx44dz/u5zWbj119/PS+Mo6Oj2Z6YyEvHj5e5v1+BA8AUYBbQFviU\nkjA+Tdld0cEWC0kJCQrfGsL4C2cipaxWK2+99RY9evRgyJAhxMXFVdvgPWPo0KGsW7fO0Bqio6P5\n7bffeOKJJwytQ87n4eHBddddR79+/Rg/fjxvvPEGMTEx9A8NPTtzlT1W4C/gPeBxoA/wFjCIkjAu\nS2s4Ox2lVH9q+Uq1sG/fPh5//HEsFgtxcXH4+fkZXVKFDBkyhOeff55Tp05Rt25dl39+UVERkydP\n5vXXXzf8vlVxjGbAXmDABT8fAKwHDgItXV2UOJxavmIom83Gu+++S7du3bj99tuJj4+vMcELcN11\n1+Hr68sPP/xgyOe/8847+Pr6MmjQIEM+XyqvpY8PeeUsDwAuZyBOXum+pWZQ+Iph9u/fz8CBA/ng\ngw+IjY1lypQpNbL1ZlTX85EjR5g5c6aebFPDBIWEkFTOXNTDSv9cf8HP1wPXU3arN8lkIrhnz6oX\nKC6h8BWXs9lsLFmyhJtvvpm+ffuSkJBw0WCVmsSo8J0+fTr33nsvAQEBLv9suXyhoaFstFopKmP5\nHZTMYjWWksk2vgHGABsoGf1sTxHwrdVKr169HF2uOEnNa2ZIjfbzzz8zZswYDh8+zHfffUenTp2M\nLqnKgoKCsFgsZGRkuGyA2J49e1i5ciW7du1yyeeJ45jNZjoGBLCmjEk2AL4AngcigQJKJt34CCjr\nCdKrgYBOnXSPbw2ilq+4hM1m48MPPyQoKIhevXqRmJhYK4IXSka1DhkyxKWt32effZYpU6ZoMv0a\namJEBJEmE4VlLG8IvAn8BpwEfqLs4C0EpplMTIyIcHyh4jSaZEOc7pdffmHMmDEcOHCA5cuX07lz\nZ6NLcrjo6Gjmzp1LbGys0z/r22+/ZfTo0ezevZt69eo5/fPEOe4bPJgbYmKYV1RWB3TF6MEKNZNa\nvuI0NpuN5cuX07VrV2655RZ+/PHHWhm8AP369WPHjh0cOXLEqZ9TXFxMeHg4c+bMUfDWcG8tW8bq\nJk1YXIV5yhd7erKmaVMWL13qwMrEFXTNV5zi119/5YknnuDnn3/mm2++oUuXLkaX5FQNGjSgT58+\nfPXVVwwfPtxpn7Ns2TIaNmzIvffe67TPENfw9vZmY2Ii/UJCyCkoYEZREQ0quG0h8JKXF180bUpM\nQoIuP9RAavmKQ9lsNlasWEGXLl0IDg5m69attT54z3D2qOe//vqLqVOnsmDBAoc92k6M5evry5aU\nFHIHDKCrycQqKHMUNKXLVlHyCMG8gQPZnJyMr6+va4oVh9I1X3GY3377jbFjx5KTk8OyZcsICgoy\nuiSXOnDgAB07duTQoUNOme3qpZdeIjc3l3/9618O37cYLzo6moXTp5OWmkpfT0+CLZaz01DmUXIf\n77dWKwGdOjExIkLP7q3hFL5SZTabjY8//piJEycyZswYpk6d6rbXI7t168arr75K3759Hbrf3Nxc\nunbtys6dO2nduryZgaWmy8rKIj4+nqSEhLNzNbf08SG4Z0969eql24lqCYWvVMnBgwd58sknycjI\nYPny5dx8881Gl2So6dOnU1BQwMKFCx263+HDh2M2m4mKinLofkXEGLrmK5fFZrPxySef0LlzZ/z8\n/Ni+fbvbBy/897qvI89pt2zZcnb6TRGpHTTaWSrt0KFDjBs3jrS0NNatW0f37t2NLqna6NKlCydP\nniQ9PR1/f/8q789mszFx4kRmzpyJqZz5gEWkZlHLVyrls88+o3PnzrRt25YdO3YoeC/g6NmuPv30\nU06ePMmjjz7qkP2JSPWga75SIYcPH2b8+PHs3LmTZcuWccsttxhdUrX15ZdfMmvWLOLi4qq0nxMn\nTuDn58fy5cvp3bu3g6oTkepALV+5pNWrVxMYGMj111/Pjh07FLyX0LdvX3bu3Mnvv/9epf289tpr\nBAUFKXhFaiG1fKVMv//+O08//TTbtm1j6dKl3HrrrUaXVGPcfffd3HvvvYwYMeKytj948CABAQFs\n3rxZt5aI1EJq+Ypda9euJTAwkGuuuYaffvpJwVtJVb3uGxERwciRIxW8IrWUWr5yniNHjjBhwgQ2\nb97M0qVLCQ0NNbqkGunAgQP4+/tz6NAhvLy8KrVtSkoK/fv3JyMjg8aNGzupQhExklq+cta6desI\nDAykWbNm7Ny5U8FbBddeey3t27fn+++/r9R2NpuN8PBwpk6dquAVqcV0n69QUFDAM888Q3x8PB99\n9JEG+DjI0KFDiY6Opn///hXe5ssvvyQvL4+xY8c6sTIRMZpavm7uyy+/JDAwkIYNG7Jz504FrwNV\ndrarU6dOMXnyZObPn++UBzOISPWhlq+b+uOPPwgPD+e7775jxYoV3HbbbUaXVOvcdNNNnDp1it27\nd9OxY8dLrv/uu+9y/fXX8/e//90F1YmIkRS+NUBWVhZxcXFsT0w87yknQSEhhIaGVnpE7Pr16xkz\nZgxDhgwhOTmZhg0bOqNst3fubFeXCt+CggJmzJhBTEyMntUr4gY02rkai46OZkFUFLvS0uhXxvM9\nN1qtdAwIIDwy8pLP9/zzzz+ZNGkSMTExvP/++5W6FimX56uvvuKll17iqaeeKvfkadKkSRw7dox3\n333X4IpFxBUUvtVQfn4+48LCSImNJcpi4R6grJtVioA1QKTJROc+fVi8dCne3t4XrbdhwwZGjx7N\noEGDmDt3Lo0aNXLiNxAoOXmaFxnJju3bGXzlldx8/Ljdk6cb27Yldf9+MjMzadmypZEli4iLKHyr\nmezsbPr37MmwggJmFBXRoILbFQJTvbxY3aQJGxMT8fX1BeCvv/5i8uTJrF+/niVLljBw4ECn1S4l\nLufk6YW6dQkeOLDMkycRqV002rkayc/Pp3/PnkzKz2deJYIXoAEwr6iISfn59AsJIT8/n40bNxIY\nGEhxcTHJyckKXhfIzs6mR2AgN8TEsMNi4QHKDl5Klz0ApJ46hc+GDfQIDCQnJ8c1xYqIYdTyrUbu\nGzyYGzZsYN6pU+f9/GvgVWA3UAB4Az2BaYC9J8ZO8vLiy2uu4ZjVynvvvafRsy6Sn59Pj8BAJuXn\nM95qvax9LPb0ZL63N1tSUtQCFqnFFL7VxLp163j2oYf4yWKh/gXLVgE7gB6UBO9+YDbwM5AKXH/B\n+oVAxzp1mLViBQ8++KCTK5czyjp52gT0tbN+Y+CInZ9P9vIid8AAPo2OdnyRIlItKHyrib7dujF2\n2zYeqOD6ewA/YD4w0c7yVcCSbt3Y+OOPjipRylHeydMmSsL3DaDbOT+vAwTZ2Vch0NVkYt6qVZcc\nwS4iNZOu+VYDmZmZ7EpL455KbNO09M8rylg+DEhLTSUrK6tqxUmFLJw+nSg7wXsuf6D7OS97wQsl\n1++nWSwsnD7dwVWKSHWh8K0G4uPj6efpWe7AHIBiSkbHZgJjgZZAWZ3KXkBfT0/i4+MdV6jYVdGT\np8p0MenkSaR2U/hWA9sTEwm2WC65Xg+gPtAB2A5sBFqUs36wxUJSQoJDapSyVfTkaTglXc3NS9//\nXM66OnkSqd00vWQ1cDA3l4o8vO/fwF/AXmAecDsQD9xQxvqtga+Tk9m8eTOenp54eHjg4eFRrd/X\nRJc6eWoMTAZ6A40oOXF6BQihZCBdWWOaz5w8hYWFObReETGewrcG8Sv9sxvwd6ANJaOe3y5nm/T0\ndP7xj39gs9mwWq3YbLZq+f7MuL8zIVzVEHflScPPaWnMLecYdCl9nREK/I2S675vAGVd2W0NbCmd\njlJEaheFbzXQ0seHvEpuczXQlpJWcFnygLvuv5833nvvsmtzJWeHu7NOIKZPmgRbt1bqu3YF2gOV\n20pEaguFbzUQFBJCzEcfQQWu+55xEEgHRpSzTpLJxMCePatansuc26KsSfy6dCGvkuELlx6AlUfJ\niZmI1D4167dcLRUaGspGq5WiMpbfA8wE1gLfAe9Scv3QC5hUxjZFwLdWK7169XJ0uXKBoJAQkkym\nSm2zjZJ7tXuUs06SyURwDTp5EpGKU/hWA2azmY4BAawpY3kI8AUQBgwBFgK3AT8BZT3JdzUQ0KlT\npZ/1K5V3qZOnRyiZCvQL4FtKJkYZRMk13QllbKOTJ5HaTeFbTUyMiCDSZKLQzrIplLSUCgALJd3N\nbwNldUgWAtNMJiZGRDilVjnfpU6eOlHy5KIwSkJ3EfA/wBb+O1nKhXTyJFK7aXrJauS+wYO5ISaG\neUVltaEqRnMDu96Z6SV3WCyVehqVPZpeUqT2U/hWI456Ks6CFi3YnJysp+K4mE6eRKSiFL7VTE5O\nDv1CQhhWUMCMSjzTtxB4ycuLL5o2JSYhAV9fX2eWKXbo5ElEKkrXfKsZX19ftqSkkDtgAF1NJlZB\nmQN5KF22ipJuyryBA9mcnKzgNYi3tzcbExOZ7+3NZC8vu9fvy1JIyXOYF7RoQUxCgoJXpJZTy7ca\ni46OZuH06aSlptLX05Ngi4XWpcvyKLkV5VurlYBOnZgYEaHrg9VEfn4+40eNInnTJqZZLAyDMud9\nLqJkcNU0k4mbbruNNz/8UMEr4gYUvjVAVlYW8fHxJCUkcLB0usGWPj4E9+xJr169NCK2mtLJk4iU\nReEr4mQ6eRKRCyl8RUREXEwDrkRERFxM4SsiIuJiCl8REREXU/iKiIi4mMJXRETExRS+IiIiLqbw\nFRERcTGFr4iIiIspfEVERFxM4SsiIuJiCl8REREXU/iKiIi4mMJXRETExRS+IiIiLqbwFRERcTGF\nr4iIiIspfEVERFxM4SsiIuJiCl8REREXU/iKiIi4mMJXRETExRS+IiIiLqbwFRERcTGFr4iIiIsp\nfEVERFxM4SsiIuJiCl8REREXU/iKiIi4mMJXRETExRS+IiIiLqbwFRERcTGFr4iIiIspfEVERFxM\n4SsiIuJiCl8REREXU/iKiIi4mMJXRETExRS+IiIiLqbwFRERcTGFr4iIiIspfEVERFxM4SsiIuJi\nCl8REREXU/iKiIi4mMJXRETExRS+IiIiLqbwFRERcTGFr4iIiIspfEVERFxM4SsiIuJiCl8REREX\nU/iKiIi4mMJXRETExRS+IiIiLqbwFRERcTGFr4iIiIv9f2tawr4cgnOfAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "maze=nx.sedgewick_maze_graph() \n", "nx.draw(maze, node_size=500, with_labels=True, font_size=16)\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFBCAYAAAA2bKVrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nWL5EREQCY/kSEREJjOVLREQksP8DZWEg/icHerAAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tet=nx.tetrahedral_graph()\n", "nx.draw(tet, node_size=500, with_labels=True, font_size=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Using a (constructive) generator for a classic graph\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFBCAYAAAA2bKVrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ncbL/B0cn5OCt+MWXAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "k_5=nx.complete_graph(5)\n", "nx.draw(k_5, node_size=500, with_labels=True, font_size=16)\n" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFBCAYAAAA2bKVrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niIiIwVS+IiIiBlP5ioiIGOz/AQFSDhul+Q04AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "k_3_5=nx.complete_bipartite_graph(3,5) \n", "nx.draw(k_3_5, node_size=500, with_labels=True, font_size=16)\n" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFBCAYAAAA2bKVrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XlYlGX3wPHvsA4wKiCCCiVuiLu4kbtlaVqJ5Ya9mqC5\nVG+pqaGl5qul4mumvmXlApaZ+lNTs1xwScFyF21RXErcCNwXUPbz+2MGAsS0VEblfK5rLmfmmeeZ\nmyk4cy/n3AYREZRSSilVZGys3QCllFKquNHgq5RSShUxDb5KKaVUEdPgq5RSShUxDb5KKaVUEdPg\nq5RSShUxDb5KKaVUEdPgq5RSShUxDb5KKaVUEdPgq5RSShUxDb5KKaVUEdPgq5RSShUxDb5KKaVU\nEdPgq5RSShUxDb5KKaVUEdPgq5RSShUxDb5KKaVUEdPgq5RSShUxDb5KKaVUEdPgq5RSShUxDb5K\nKaVUEdPgq5RSShUxDb5KKaVUEdPgq5RSShUxDb5KKaVUEdPgq5RSShUxDb5KKaVUEdPgq5RSShUx\nDb5KKaVUEdPgq5RSShUxDb5KKaVUEdPgq5RSShUxDb5KKaVUEdPgq5RSShUxDb5KKaVUEdPgq5RS\nShUxDb5KKaVUEdPgq5RSShUxDb5KKaVUEdPgq5RSShUxDb5KKaVUEdPgq5RSShUxDb5KKaVUEdPg\nq5RSShUxO2s3QCn1zyQlJbFo0SJOxccD4OPrS3BwMF5eXtZtmFLqlgwiItZuhFLq9sXFxTEuLIw1\nUVF0AvxTU83PG42sANq3bcuY8HD8/f2t2k6l1M1p8FXqAbJ161Y6t2/PsJQU+ongWuD4JWCWwcAH\nLi4sW7OG5s2bW6OZSqlb0OCr1AMiLi6OgNq1MWZm4gP8bHl+PzAQSAF8gQXANqCnyUT0rl3aA1bq\nPqQLrpR6QIwLCyMkM5NNBZ5/GZgM/AQ8D/wXaAsMS0lh/IgRRdxKpdTt0J6vUg+ApKQk/H19OZaa\nyiXgOf7s+bpiHm4GOAk8DfwKXAQqGY3ExcfrIiyl7jPa81XqAbBo0SI6wQ1zvAA1gZWW+0swB2AA\nNyDIcq5S6v6iwVepB8Cp+PjcVc0FRQAzgYZAMuCQ51j11FROHz9+7xuolPpbNPgq9YCrBqwDdgPB\nQOUCx3ft2sWyZcv46aefuHbtWpG3Tyl1Iy2yodQDwMfXl72OjpCWdsOxs0AZIBt4D3glz7Gf7e0x\n2NvzxRdfcPToUX7//XdKly5NlSpVqFq1au6tSpUqVK5cGWdn56L5ge6QFhhRDzpdcKXUfezChQt8\n9dVXzJo1i6M//0x7zGlE5wAv4D+Yh5o/try+MzDBcr+wBVdZWVmcOnWKI0eOcPToUY4cOZJ7O3bs\nGGXKlLlpYHZycirSn70wWmBEPSw0+Cp1n8nKymL9+vVEREQQFRVFhw4dCA0NJeJ//yPg22956zZ/\nZScbDOzv2JEFK1bc9vuePHkyNxjnDc7x8fF4enrmBuO8wblSpUoYjcY7+ZFvixYYUQ8TDb5K3SeO\nHDlCZGQkX3zxBeXLlyc0NJTg4GDc3NwAc6+vVaNGzE9Opu0trhUF9DKZ2HKXimxkZmbmC8x5g/Px\n48fx8vK6aWB2dHS84/e/WYGRncC/gQzMc2gzMff4tcCIut9p8FXKiq5evcqSJUuIjIzk8OHD9OzZ\nk9DQUGrVqlXo63N6f0NTUuhfSO/vIjC7iHt/mZmZnDhxIl9gzgnOJ06coGzZsvmGsHPuV6xY8bYD\n84tBQZT65hv6Ay/xZ/BtDYwE2gFrMBcb+Z6/3+tXqqhp8FWqiIkIMTExREZGsmLFClq2bEmfPn3o\n0KED9vb2tzw/Li6O8SNGsHrdOoIwpxMBHDQaWQl0aNeO0ZMm3Re9voyMDI4fP37D/HJOYC5fvvxN\nA7ODgzlp6q8KjPTAXNWrG7AQ+A74Ei0wou5/GnyVKiInT57kiy++YN68eTg4ONCnTx969uz5j4ND\nzorfnDxe7woVHqgVvxkZGcTHxxe6+OvUqVN4e3tTtWpVrl27hu/27czPzCSe/MH3ONAcMGBe7b0N\neMRyLMRoJGDSJAYNGlTUP5pSt6SpRkrdQ6mpqaxcuZKIiAh27dpF9+7dWbBgAY0aNcJgMNzRtb28\nvB7owGJvb5/b0y0oPT09NzBPnTyZWpmZhV6jLzADc+93CdAHWG85pgVG1P1Mg69Sd5mIsHfvXiIi\nIli8eDEBAQGEhoayYsWK+yJd50Hg4OCAn58ffn5+bN6wAaKjC33dTmCD5X4XzJtMKPUg0OCr1F1y\n9uxZvvzySyIjI0lOTiYkJIQ9e/ZQoUIFazftgebj68s+oxEKKa9ZBdgCtAI2AX55jh00GgnQz17d\np3TOV6k7kJmZyZo1a4iMjGTTpk107NiRPn360LJlS2xstHrr3ZCz4OqJ1NR8BUbGAbWB14A0wAlz\nqlEA5gVXvvb2HLKstlbqfqPBV6l/4ODBg0RGRjJ//nwqVqxIaGgo3bt3p2TJktZu2kPpxaAg6q1a\nddsFRsINBqaXKIFnxYq88847dO7cWb8MqfuKBl+lbtPly5dZvHgxERERnDhxgl69ehEaGnpfpPQ8\n7P5JgZHNO3fy+++/M378eK5cucLbb79NcHAwdnY626asT4OvUn8hOzubzZs3ExERwbfffkubNm3o\n06cP7dq10z/iReyfFhgRETZu3Mj48eM5ffo0I0eOpFevXrl5xEpZgwZfpQoRHx/PvHnz+PzzzylZ\nsiR9+vThX//6Fx4eHtZuWrF2pwVGoqOjef/994mLi+Ott96ib9++RVKXWqmCNPgqZXHt2jW+/vpr\nIiMj2b9/Pz169CA0NJSAgIA7zslVd9edFhjZsWMH77//Prt372bYsGEMGDAAFxeXe9lkpfLR4KuK\nNRFhx44dREZGsmTJEgIDAwkNDaVjx47aIyoG9u3bx/vvv090dDSDBw/mtdde00Vzqkho8FXFUmJi\nIvPnzycyMpKMjAxCQ0N56aWX8PHxsXbTlBUcOHCAiRMnsnbtWl577TXeeOMN3N3drd0s9RDT4Kv+\nUs7w3qn4eMBc8OBBqh+cV3p6Ot999x0RERFs3bqV559/nj59+tCsWTMdVlYAHD16lEmTJrF8+XL6\n9evHm2++iaenp7WbpR5CGnxVoeLi4hgXFsaaqCg6Af6WhS1xRiMrgPZt2zImPPyBSLP5+eefiYiI\nYMGCBfj7+9OnTx+6dOmCyWSydtPUfer48eNMnjyZhQsX0rt3b4YNG4a3t7e1m6UeIhp81Q1yUjqG\npaTQr5CUjkvArCLeM/bvunDhAgsXLiQyMpLExERCQkIICQmhSpUq1m6aeoAkJCQwZcoU5s2bR3Bw\nMGFhYVouVN0VGnxVPjnFDKYmJzMHOIN5u7b+wBtAd+Cw5bV/AOdtbPj511//UQ/4bg9pZ2VlsWHD\nBiIjI1mzZg3t27cnNDSUJ598Eltb2390TaXAXLf7ww8/5LPPPiMoKIiRI0cWuhuTUrdLg6/KJ6eM\n30siJAL1gGSgAbACqJ7ntcMw76vqERTEghUrbvs97vaQ9tGjR3Nzcr28vAgNDaVHjx66YEbddRcu\nXOB///sfH330EW3btuXtt9+mZs2a1m6WehCJUhaJiYniajTKRRApcAsC2ZDncTbIIyB7QFyNRklM\nTLyt94iJiRFPk0kmGwyFvs9FkHCDQTxNJomJibnpda5evSqRkZHSokULKVOmjAwePFj2799/tz4K\npf7S5cuXZeLEieLp6SmdO3eWvXv3WrtJ6gGjPV+Va/r06ewbMYLIAlu3xWPesu1XIGeJUjQwFNgF\nhBiNBEyadMuN3XOGtL9MTuapW7QlCuhpMhG9a1duD1hE2Lp1K5GRkSxfvpzmzZsTGhrKs88+q6UC\nlVWkpKQwa9YspkyZQv369Rk1ahSBgYG3ff7DlE2g/h4tTltM3M4v+an4+Nwh4BzJmDcpn86fgRdg\nIfCi5X711NTcSkN/ZVxYGENTUvAHHufG+eQLmOeUjwO+wGvJyYwfMYLwjz7iiy++YN68edja2tKn\nTx/ef/99ypUr93c/BqXuKhcXF4YMGcIrr7xCREQE3bp1w8/Pj9GjR9OyZcubnnezqZd9RiNjR4x4\noLIJ1D9k5Z63uscOHjwoPTp2FFejUUKMRpkEMgkkxGgUV6NRenTsKAcPHhQRkWGDB8ukPEPA6SBt\nQT4sMDScAeIFctryeBJI5QoVZNCgQfLxxx/Lhg0b5MSJE5KVlZXbjrxD2n+AxFrOvQriB3IAZDhI\neJ5rDgJxsbGRUqVKSf/+/WXbtm2SnZ1trY9SqVtKS0uTuXPnSuXKlaVFixaybt26G/6fvVtTL+rB\npsPOD7G/mzK0Z8+e3GFnAXoDpYEPC5y3FggHvrc8fsnREcdevfD39+fw4cMcOnSIw4cPc/nyZapW\nrYqfnx+XL1/G8/vvmZ+RcUM7OwH/tty2YN4oPRFoDTSyt6fO++8zfPjwu/OhKFUEMjMzWbx4Me+/\n/z4lSpRg1KhRPPvssxw6dOiOpl7Uw0OD70MqLi6O5g0a4HPtGhnkH94dC8wBylhe2wWYbjKxbPVq\nnm3ThuMZGfwCtATqWM4FmAg8DYQCTSzXuwhUMhqJi4+/YZ7qypUrHDlyhEOHDjFzxgye27GDsALt\njMc8n/wL8KjlegACuAMjgPNDhjB56tQ7/1CUKmLZ2dl8/fXXvPfeewC42tuTvHs3JwFPzNkCAMHA\nIcv9S4ArEAtMNhjY37Hj38omUA8GnfN9SI0LC+OVa9foTP50oacwB9M3LbccdikpdH/uOZyNRj7N\nyGAEkH2Ta0fmuT/bYKBDu3b5Am92djZnz57l9OnTJCQkcOXKFQr7jpcMdMY8n1yiwDEDfwZ9pR5U\nNjY2dOnShc6dO/Pll18ysHdvlgDlgJfyvG5RnvvDIHeUqp8IldatIykpSRdhPWQ0+D6EkpKSWBMV\nxTH+/CU2Yc7RPW15XDAU9hfhveRkDM7OjAfqA21v8T5RwER7e54tUYIuXbpw+vRpTp8+TVJSEqVK\nlcLb25vy5cvj7e1NSXd3frGzg8xMADIwB95emIed4c/h5rKYC3h4Yt6nNUArCqkHnMFg4MKFC3Rz\ndKRDairxN3mdAP/Hn1M6bkAQsGjRoltmE6gHi421G6DuvkWLFtEJ8s3xxmMexnrM8vh/QF2gL+Zh\nLjegQ1YWV69excZkorONDZMsxwq6CEwCutrZ0e7556lfvz7dunVjypQpREdHc+XKFc6cOUNsbCxz\n5szB09OTn376iaWZmVzC/AemL1ADGJznuh2Bzy33P8c8xL0SCA4OvuPPRClrKyyboKAYzF9CK+d5\n7nazCdSDRXu+D6GCv+QF04VeAcZYjo3GnK87F3Nvd6WtLY6OjrR86immrFnDexkZPG9rS630dAAO\nODqyUgQbYMuOHdSrV++G909ISGDevHnMnTuX48ePY2dnR7ly5XCwteXTrCyaA19ink8OsJwzEfP8\nbjdLW3yBZnDDkLZSD7O8KXzq4aY934dczvBuT/4c3vXkzznVl4GdeV5funRpfv/9d/r27UvZypU5\nfOIEDSdP5vyQIfy3VCkeGTaMQydO0LxdO3bs2JF7XkJCAlOnTqV69epUqFCBsWPH4uHhQevWrTGZ\nTDRr1gyTlxcTbG25hnk+eR/m3ngs5l6uO7ABc+3oYcBMk4nRkybdy49HqSLj4+tLnNF40+OZwHLM\nue55HTQa8dapl4ePVROd1D0xbdo0CTEaJRukF8jgAnmECXnuTwXpYbnf3WCQ9957T7KysqRu3bqy\nfPnyfNetU6eO7Nu3T0RENm/eLJUqVZIPP/xQateuLQ4ODuLg4CABAQEybtw46dy5s5QpU0beeecd\nCQ0NFW9vbxk9erS4urpKaScnmWjJZyyY43hBcxzVQypvrvsxkFoF/t9fA9K6kN+Hv1O+VT04tOf7\nkElKSuLq1asszchgLebh3e8xD+8GAGuAMMxDvnUx59V+iHked62DAy+//DJLlizBwcGBoKCgfNd2\ndnbm+PHjzJgxgyFDhnDs2DHCwsJITk5m/PjxrFy5kkcffZSZM2cSGBjI7Nmz+fLLLzEYDIwcOZLZ\ns2cTFRXFmEmTeN9goIK9PSFGI+GY84ZDjEYqGY3s79iRLbt23ZdbFSr1T3l5edG+bVtaA00xj/A8\nwp/ZA4uBHgXOKSybQD0krB391d1RsJJVQ0uVqII9y5vdJoI0q1dP0tPTxc/PT6KionKvferUKZk+\nfbqULFlSHBwcxN3dXdzd3eWZZ56RBg0ayNatW+Xpp58WHx8fmTFjhvzxxx/Sr18/eeSRR2T16tUS\nHh4uvr6+EhcXJ5cvX5ZSpUpJYGCgJCYmyrRp02T4kCEyfMgQmTZtmn7DVw+1gwcPiqfJJOtu43dy\nHYinyZRbgU49XDT4PgQKK1d3EMTT8gt8O7/kHs7OUrNmTalWrZoEBgbKyZMnZfr06dKkSRNxcXGR\n8uXLi62trbRu3Vo2bNggGRkZsm7dOnF0dJTy5cvLrFmzJDU1VdasWSOPPPKI9OvXTy5cuCBvvvmm\n1KxZU06dOiUiIqGhoWI0GuXAgQNW/tSUso6c39fwm5SXvGD5MuxuNOrUy0NMVzs/4OLi4ujcvv0N\n5er8gWWYF1sNxVyNqmB5yYuYy0tOdXFh+Zo1eHl5UbduXY4ePUrlypXx8fEhKSmJZs2a0bt3b5Yt\nW0bXrl1JTU2lRYsWXLx4kc6dO5ORkUHXrl155ZVX2LRpE3PnzqV169b06dOH33//nejoaNzd3fnx\nxx9ZvHgxL730EtWrV0ep4qh58+Zs2bWL8SNGUHHdOoIwpxOBeXHVSqBpYCDZ+/dTunRpq7ZV3Tta\nXvIB92JQEPVWraKHCC9x405BfYGlmNONfIA+gBHzCuNvbWwoV7YsXXv3Jjo6mt27d+Pg4ICtrS1Z\nWVm4uLgwd+5cOnToQHZ2Nk8++SS//fYbrq6ujBo1ihdeeIFr167h4+ODk5MTL7zwAuHh4djY2NC1\na1dsbW1ZvHgxzs7OpKWlUaNGDc6dO8fvv/+uf1SU4s/dxnLyeL0rVMjdbWzOnDlMnTqVnTt3YjKZ\nbnEl9cCxdtdb/XO3s1NQFEgWSCJIG5D6II4gtWrVkoCAADEYDFK7dm3x9fUVGxsbCQ0NlV9++UWy\ns7Plq6++krJly0rbtm2lWrVq4unpKf3798/drej8+fPSq1cvKVWqlLzwwgu5zz322GPSu3dvSU9P\nz23r2LFjxcPDQ6ZNm2aVz0qpB1GfPn2ke/fuupvXQ0hXOz/A8layKou5hjP8WUoyAXMtZxvMVXNe\nszwfBFy7dg2DwYC9vT2ZmZm0adOGrl27EhERQc2aNcnIyOD69es4OTmxb98+Ll68SLNmzahSpQo2\nNjZ888031K5dm1KlSrFz506+//57Nm/eTI0aNZCMDDxcXZk5cyZJSUkcPHiQqVOnUqpUKV599dUi\n/5yUelB99NFHHD58mBkzZli7Keou0znf+1jOkNSp+HjAnKSfMyQFNy9XF495WDmwwPMRmFMZTgJ7\ns7MZPnw4jRs3pn79+qxYsYIff/yR1NRUIiIiCA8Pp1q1asybN4+WLVuyceNGunbtysGDB9m2bRs/\n/fQTX331Fa1atSIuLg43Bwc6PP44ne3sqJWUBHv2mDcGDwvD5OyMnZ0dM2bMwN7e/p59Xko9bJyc\nnFi6dClNmjShYcOGNGvWzNpNUneLtbve6kYF04YmWdKGQoxGcTUapUfHjnLw4EF58/XXb0gnugrS\nAGR5geffA3khz0b1w4cMyX2/gIAAqV27tnzwwQdSvnx5ee6552T79u03tCs4OFjs7e3FyclJZs6c\nKdnZ2RITEyMezs4y6SZFMy5aVm6WsLXVlZtK/UPffvuteHt7ayreQ0SD732msLShgsEspwKUj4+P\nBOc5lg7SFuTDAudEgjQFuW553A2kXLly8q9//UuGDRsmDg4OAkjHjh0lNjb2hjadOXNGunfvLmXK\nlJHOnTtLbGysNGzYUBo3biylHBykLkgNkJog0wu89xQQA8gSkDKas6jUPzZq1Chp3bq1ZGRkWLsp\n6i7Q1c73kbi4OFo1asTU5GTmcOPK5SXAWCAOmAEMt5yXAJQCegOlMVesyrEWc6rRFsADc3pRJUdH\nZn/5JfPnz+e7777D0dGRzMxMbG1tady4MXXq1KFOnTrUrl2bw4cPM3z4cHr27EnlypXZvXs3c+fO\nJSsrixq+vnQ5dYqu5N8zeAXmueWTQD/Mm4TvAeboxuBK/WNZWVl06NCBevXqER4ebu3mqDukwfc+\nkpM29JIIidwY0AyYF08NAD7Asp8uMBJoDrTEXDYyZxP6CZiDdjrmTQvAnGZ0vUoVTl64wFNPPcW6\ndeuIi4vj7NmzPPHEE0RERHD48GF27NhBVFQUly9fxtvbm8aNGwPmeeh58+axcOFCJo4ZQwL584c7\nAa8DbYCumHdNCsIcfA1AJaORuPh4LZen1D9w7tw5GjRowLRp03j++eet3Rx1B3S1830iKSmJNVFR\n9Be56cplf8AvzzkDgDRgPBS6U1B74Ahw3PI4HPgJqBUYSGxsLC4uLrz22mt4eXlRq1YtmjRpQnx8\nPOXKlWPz5s0MGDCAK1euEBUVRbdu3bCxseHo0aM0bNiQMWPGEGQwFLpncCDmfXh9MH8ZyJF3Y3Cl\n1N/n4eHBkiVLGDBgAIcPH7Z2c9Qd0NXO94m8aUN5xVP4ymX4M5gtMRjoZmfHiIwMBhZyjYvAZ8B7\nNja4li1Lt27diIqKYunSpXz88ccsWbKEzMxMKleuzNChQ3F3dyckJARvb29mz55NZmYmmZmZGI1G\nrl27hslkwtfHh3q//pr7Hnn3DLbB3Oten6cNOcMrujG4UnemcePGjBs3js6dO7N9+3ZcXFys3ST1\nD2jwvU8UljaUN6DdrL5NfWCFwcCVzEzC7e0Zl5HBc5bnAfYCqwC3UqWoWrEiSUlJhISE4ODgQLly\n5Vi6dCn29vacOnWK2NhY7O3tqVq1KleuXOHw4cPY2dlhZ2f+32TLli2kp6fTr18/Nq5bl9uGgnsG\n/4z5S0PdnJ8N89B53n2DlVL/3IABA/jxxx8ZOHAgX3zxBQaD4dYnqfuKBt/7VMGA9ldcXV0ZNXYs\nDRo0oEOHDux0c+Pr+Hgee+wxdsXGsmfPHmrWrAmYF220b9+emJgYDh06REpKCgMGDCA5OZkffviB\nixcv8sYbb/Dxxx9jY2OelTh37hzt2rXDxcUFZ2dnvvrqK06ePMmjNjZIdjZ9gRrAYEt7agNJedpX\nEfOcrzvm2rUBujG4UnfEYDDw6aef0qRJEz755BMtXvMA0jnf+4SPry9xRiNgHqItGNAKyhnG3Wdj\ng2+VKpQuXZonnngCGxsbHn/8cZ5o25Yp06bh5+eXG3gBbG1tsbOzw9fXl+eee466detSv3599uzZ\nQ4MGDWjTpg0ODg6MHDmSt956i8DAQLy8vIiPj6dmzZo4ODiwcOFCxo0bxwqRm+4ZnFfOd/KLmOeC\ng4OD7/wDU6qYc3Z2ZtmyZYwdO5YdO3ZYuznqb9Lga2VJSUlMnz6dQ7/+yv9lZDAJ8zBxYQFtBebN\nt7cDzwBPAiuys/njjz/o1asXPXr04PTp01SvXp2aNWuyadMmnnjiiXzv98MPP/Dzzz/j7e3Nnj17\naNu2LW3btuWjjz6iW7duVKhQgd9++43PPvuM9PR0Tpw4wciRIzl37hyjR4/m+vXrPPPMM2zevJlH\nvL3ZT+ELvfL6HXOvVzcGV+ruqlKlCrNnz6Zbt26cPXvW2s1Rf4MGXyuJi4vjxaAg/H192TdiBBVm\nz2ZMVha/YM7XDQYWkT+gdcKcO3sdSMQcfJ0cHEhKSsJkMlGrVi2ys7OJi4vD39//huCblZVFr169\nOHv2LMnJyfj5+bFw4UK6devGb7/9xnPPPcfGjRu5dOkS7u7uzJ8/n//85z+EhITw73//m5YtW5KW\nlsbMmTM5deoU5atUYaqLC1G38fNGAR+4uDB60qS7+jkqVdwFBQXx4osv8uKLL5KVlWXt5qjbpMHX\nCrZu3UqrRo0IWLWKY6mpRKamEgaEYe7xHsOcatQK2HqTa0QBk+ztKePry6hRo4iOjmb79u1UqlSJ\njRs3UrZsWbZv347BYGDixIm0bdsWo9HIsWPHaNq0KZ07d2bGjBkcOXIER0dH6tSpQ69evahatSrR\n0dGcO3cOV1dX1q1bR5MmTXBzc2P37t1kZWUxcOBAhg4dyqZNm/h67Vp6mUxMAi4V0s6LwGSDgV4m\nE8vWrMHf3/8efKJKFW/jx48nKyuLd99919pNUbfLugW2ip+DBw9KaWfnQksyjgKpA1IX5AmQ+SBl\nQA7mKdd4wVIr2c3RUWrXri1vvPGGZGdnS1ZWlhw4cEDGjRsnNjY2YmNjIwaDQRo3bixPPvmkmEwm\n8fLykq+++uqGNh05ckTKly8vixcvlsWLF0vJkiWlRo0aYmtrK0OGDJHk5GT55ZdfpH79+gLI8ePH\n852/adMmKWlrK04Gg/TOU4u6t6UW9YtBQVpWUql7LCkpSXx8fOSbb76xdlPUbdAKV0XsxaAgKn/z\nDZ25sYKVD1DC8rr/AfuBKsAyzClHsQYD34hQ2t2dCtWr4+DgQIsWLdixYwc7duzAzc2NgIAA1qxZ\nwzPPPMO+ffs4fvw4ZcqU4bXXXmPp0qXs3r07dxVzXjt37qRly5ZkZGRQvXp13n33XRISEti4cSPN\nmjVjypQpTJgwgcGDB3PmzJl8uYUDBw5kyZIlTJ8+nfPnzxe6MbhS6t778ccf6dSpU+4omLqPWTv6\nFyeJiYniajTesGFCEMiGAs9NAAmz9HRdbGzEr1IlKVGihLi4uIiNjY3Y2tpKq1atZOTIkbJy5crc\n3U6io6OlSZMmUqVKFSlZsqQMGzZMevbsKba2thIcHCznzp3L16YzZ87Iu+++Ky4uLuLo6Cgmk0l+\n+OEHERHZt2+f2NvbS6NGjeTYsWMiIuLh4SFnzpzJPf/kyZPi7OwsrVu31g2/lboPzJgxQ+rVqyfX\nrl2zdlMbWrHcAAAgAElEQVTUX9A83yJUWBWrePJXsHoHmA84Y17V7Ao8k53NkmPHcHR0pEGDBuzc\nuZMtW7bQpEmTG94jOjqa33//nbNnz7Jz504aNGjA/PnziYuLw8XFBT8/P/r370+nTp2YN28eixYt\nonz58vj4+LB582ZiY2Pp1KkToaGhzJ07l6effpoSJUrg6+sLmNMbrl27lvt+Y8eORUT46KOPNNFf\nqfvAv//9b7Zt28arr75KRESE/l7er6wd/YuTYYMH59t/92Z774plXjckz/67zg4OMmDAAKlTp468\n+eabMiTPfrwiIllZWTJjxgwxGo3SqFEjadq0qYiIpKWlScWKFSU6OlpERJYtWyYVK1YUg8EggYGB\n0q5dO2nVqpVcunRJRESOHj0q/v7+4uDgIBs3bpRLly5J6dKlZceOHTJt2jQp4+YmfXr1kmnTpsne\nvXvF0dFRQkJCivaDVEr9patXr0qNGjVk1qxZ1m6Kugnt+VrJrSpYvQh0yPO4XLlyrFu3jh9//JGU\nlBSaNWvGpEmTcHBw4MiRI/Tt25fs7GwaN25MmTJlqFGjBgBz587Fz8+Ps2fP0rRpU5KSkhg6dChN\nmjShU6dO7N27l/79+3P16lUWLFjAmDFjGDlyJI6OjvTv35/IyEh83N1p07QpXeztGZqaCvPns2/J\nEt5JT8ce6N+//73+uJRSf4PJZOLrr7+mefPmBAQE0LBhQ2s3SRVk7ehfnEybNk1CjEbJBukFMrhA\nb/dwnvszQHpa7ncDsbGxkRIlSkjp0qWlWbNm4uXlJb169ZK+ffuKq6urTJkyRTIzM6VixYpSt25d\n+f777+Xs2bNSqlQp8fHxkcDAQFm6dKlkZmbKmTNnpGHDhvLyyy/LiRMnpG/fvmJnZyeenp6ycePG\n3Pb27dtXTDY2Em4w3DBPLSAXQSYZDOJpMklMTIwVP1mlVGGWLFkiFSpUuGGth7I+Db5FKGfB1WoQ\ngyWlqJ7lthqkM0gty/MvgCRZFlw5gWzatEmys7Pljz/+kM2bN0tQUJA4OjqKm5ub+Pj4iNFoFH9/\nfzEYDGJnZyfPPvusODk5SdmyZSUmJiZ3MdSxY8fEz89P3nnnHcnKypI5c+aIh4eHjBw5UoYOHSpu\nbm4yYMAA2bBhw01TonK+HPhbnu8KUsZk0nQipe5DQ4cOlaeffloyMzOt3RSVhwbfItajY0cJNxhu\n6EXe7DYRpF3z5rnnZ2ZmyuTJk8Xd3V2cnJzk5MmTIiJy7do1mTZtmjg6OoqNjY1UqlRJbG1tcwNw\n69atpWvXrlKqVCkZOHCgbN++Xdq3by8BAQHy008/5V7/zJkzMnLkSCllby9vg8TmmZ/2AzkAsgnk\nSZB0y7EzIOEGg7wYFFTkn6dS6q9lZGRIy5YtZezYsdZuispD83yLWFxcHK0aNWJ+cjJtb/HaKOB5\nYNSECYwcOZKDBw8SGhqKk5MTc+fOZcKECXh5eZGcnMzab7/l1MmTiJ0dL7/8Mu7u7sTHxxMZGcnp\n06dZunQpo0ePpkmTJiQkJHDw4EFsbGyoXr061atXp1q1avj7++Pv74+rqysNatTgWFpavpXZnYB/\nA7OBAUDeqtEXgUpGI3Hx8ZrXq9R95o8//qBhw4a5GQzqPmDt6F8cxcTEiKfJdNO51JwqVu5Go3z+\n+efi7+8vDRo0kNKlS8vMmTMlKytLfvnlF2ng7y9OIMEGQ25VqWCQkvb24mpvL+vXrxcRkVWrVomH\nh4csXLhQOnXqJDVr1pQ9e/bI1atXZc+ePbJgwQIZPXq0dO3aVerUqSP29vYSXKBNx0AeBbliGSZ/\nFyQQpBXILstrehuNMm3aNCt/ukqpwkRHR4unp2duzr6yLl3tXMSSkpLYs2cPz77wAl9s3croY8d4\nxmAgMDsbgL2YdzWqU7s2P/zf/5GZmYmTkxOnT5/Gw8ODwMBAhg0bxqxp0xgtwgDAtcDgxaWMDD4F\n/vX88/R9/XUiIiIYMmQIgwcPJjQ0lEWLFuHo6AhA/fr1qV+/fr7zhw4ahOeMGbmPkzFX2JqOuQJX\nJuae7nZgF9AN885F1VNTc6tbKaXuLy1atCAsLIwuXbqwdetWjJYtTJWVWDv6FxcHDx6UHh07iqvR\nKCF56h8HGwzibDBI+VKlxGhnJ3Z2djJ48GBJT0+X9957Tzw8POSzzz6ThIQEefbZZwUQk42NRN3G\nfPE6EGeDQVq0aCHVqlWTbdu23dCuzMxM+e2332T16tXy4YcfSt++faWch0duPnI6SFuQD/Nc92mQ\nzXkeVwY5Z/l5hhfIP1ZK3T+ys7OlS5cu0q9fP2s3pdjTnm8R2Lp1K53bt2dYSgozRfLNoyLCJeDT\ny5cZD7Tt0IGQkBACAwPx9PRk8eLFLFq0iLCwMIKDg3m8cWMa79zJBGAw5o3q+wNvYK4FPRBIAXyB\nBcBoEb5KSGDz1q2cOHEit9rVoUOHiIuL4+jRo7i4uODs7ExaWhqXL1/G1dWVn2xtkaws+gI1LO+V\noxOwCfOuS4eBdKA0cNBoJKBChXv3QSql7ojBYCAiIoJGjRoRGRlJaGiotZtUbOmCq3ssZ4HV1ORk\n5gBnyB8wd2JexJQBXANO29lhbzIxYMAADhw4wI4dO3j11Vd59dVXyc7Oxt/Xl+2pqVznxo0ZXgKm\nAi2ASMxbEw4BvAGDszNVq1aldOnSGAwGLl26xLFjxzAajTRt2pTHHnuMJk2aUL9+fS5fvoy/ry9f\npabyDFDH0maAiUAboA+wD3AAPgDqoguulHpQHDhwgFatWrF+/Xrq1asHmKfEFi1axKn4eAB8fH11\nY5R7ydpd74ddTmrRHzdJ22kFstby/GqQSiDlSpaUqlWryieffJKvOHpOkY6Cw8tBIOtBSuV57oQl\nP1dAetjaire3tzg7O8tjjz0mQ4YMkcWLF8uJEydu2e7bTYnSVCOlHiwLFy6USpUqyfbt2wudEgux\nbAnao2NHzeG/B7Tnew8lJSXh7+vLsdTU/EPN/Jm2MxdzOlE3YCGwHFhnb8/PR4+SlpaWOzx86NAh\nolav5tWEBMLyXCce8/DvL8DTwFtAEOYe8FjgChAO/Ny9O3M//zx3odWt/N2UqF4mE1t27cLf3/+2\nrq+Usr6uXbuybvlyRmVn07/glBhwCZhlMPCBiwvL1qyhefPm1mjmQ0nnfO+hwnYxgj93MnoMqAo0\nB4YB2cA2wCYjg4oVK+Lu7k7p0qUpWbIkTk5ON+zDW3AVcgTmoezxQEfMQ8I5ypcvf9uBF8Df359l\na9bQuX17hqakFPqLeRGYnecXUwOvUg+OuLg4oteuZVlWFk/d5DWuwFsi1EtO5oX27YnWL9h3jQbf\ne+hUfDz+qan5nssbME2Ye8AzMPd+l2CeS30S2OfrS/PHH8fV1TX3tmPHDn79v/+D9PRCN2aoBqyz\n3D8MfGe5/08XQjVv3pwtu3YxfsQIKq5bRxDmdKKca64EOrRrx5ZJk/QXUqkHzLiwMB5NTqYn4An8\nnOfY/4CZgC3wDObRs2EpKYwfMYIFK1YUfWMfQjrsfA8NHzIEj2nTcoeJM4Bngfb8uXq4JOahYQDB\n/E3zbeD8kCFMnjo13/VyhrF/T01lEOYVxh/mOX4WKIO5Bx2CuQJVEHdnIVTOYoycPF7vChV0MYZS\nD6icvyULUlMph3mxZk7w/R6YAKwG7Pnz74pWsbu7tOd7D/n4+rLPaITUVAQKTdupAmzBPG+7CfDj\n5j1VLy8v2rdty9vffMOXmFchB1iOTQCOAB9bHnfGHIAnGwx0aNfujn9ZvLy8GDRo0B1dQyl1f8iZ\nEuuAeRosr0+AkZgDL5gDL4Ab5i/zixYt0r8Fd4HNrV+i/qng4GBWYF608APwJeZvlQGW2xpgFuZF\nUvWAUcAUYKXl3MKMCQ/na5OJtZhTfWItt/aY53sPWW4TMC+E+sDFhdGTJt2jn1Ap9SAqbEosxxEg\nGvOalNbA7jzHtIrd3aPB9x7K6anOMhhojnk4uGDAbAjssDy/Ddhxi55qzkKoXiYTkw0GLhXymouY\ne7y9TCZdCKWU+lvylo/9L+ZMDHX3afC9x8aEh/OBiwtRt/Ha2+2p5iyE2t+xIxWNRkKMRsIxL4oI\nMRqpZDSyv2NHtuzapakBSqkb+Pj6EneT2s4+wAuW+40wB4nzlscHjUa8tYrdXaELropATnnJ203Z\n+TsBUxdCKaX+rrw1CC4Bz/HngqvPgATgP5izJp4ETqALru42Db5FJC4ujvEjRrD6L1J2RmvKjlKq\niLwYFMSBb77hDOaerScwDnP6YsHysa0xT2Xt79hRU43uEg2+RUx7qkqp+4FWsbMuDb5KKVVM3csp\nMfXXdMGVUkoVU3kXbz5qZ8eLtra6eLOIaM9XKaUU7du3p0yZMpT18AB0Suxe0+CrlFLFnIjg6elJ\nbGwsPj4+1m5OsaDDzkopVcwdOnQIk8mkgbcIafBVSqliLiYmRud0i5gGX6WUKuZiYmJo0aKFtZtR\nrGjwVUqpYk6Db9HT4KuUUsXYqVOnSE5O1uIZRUyDr1JKFWNbt26lefPmGAwGazelWNHgq5RSxZgu\ntrIODb5KKVWM6XyvdWiRDaWUKqYuXrzIo48+yoULF7C3t7d2c4oV7fkqpVQx9eOPPxIYGKiB1wo0\n+CqlVDGl873Wo8FXKaWKKZ3vtR6d81VKqWLo+vXreHh4cObMGVxcXKzdnGJHe75KKVUM7dq1i1q1\namngtRINvkopVQzpfK91afBVSqliSOd7rUvnfJVSqpjJysrC3d2d3377DQ8PD2s3p1jSnq9SShUz\n+/fvx9vbWwOvFWnwVUqpYmbr1q065GxlGnyVUqqY0cVW1qdzvkopVYyICOXKlWP79u34+vpauznF\nlp21G6CUUuqfS0pKYtGiRZyKjwfAx9eX4OBgvLy8Cn390aNHsbe3p0KFCkXYSlWQBl+llHoAxcXF\nMS4sjDVRUXQC/FNTAdhnNDJ2xAjat23LmPBw/P39852XM99rMBis0GqVQ4OvUkoV8Hd7k0Vt69at\ndG7fnmEpKcwUwTXvwdRUPgRmrVpFq02bWLZmTb75XZ3vvT/onK9SSlncrDcZZzSyAm7amyzqNrZq\n1Igvk5N56havjQJ6mkxE79qV2+aqVavy9ddfU7t27XveVnVzGnyVUor8vcl+BXuTwCVglsHABy4u\nN/Qmi9KLQUHUW7WKt/L86Z4IfIk5faU2EAk4Wo5NNhjY37EjC1asIDExkRo1anDu3DlsbDTZxZo0\n+Cqlir077U0WlaSkJPx9fTmWmpr75SAeeAI4iDngdgc6AL0txy8ClYxG4uLjiYmJ4fPPP2fVqlVF\n2m51I/3qo5Qq9saFhTE0JSVf4D0EBOS5lQJmAG2BYSkpjB8xosjbuWjRIjpBvl55ScAeuAZkWv71\nznPcDQiynKvzvfcPXXCllCrWkpKSWBMVxcwCg4DVgFjL/WzMAe15y+N+IlRat46kpKS/vQjrThZz\nnYqPz52HzuEODAUeBZyAdsCTBc6rnprK6ePHiYmJ4aOPPvpb7VX3hgZfpVSxVlhvsqANQGXgEcvj\nvL3JQYMG3db7xMXFMfatt1gXFUUQUD0tDYC9Dg6MGT6cenXr0u755ylRogTJycmkpKTc8O/PsbEM\nLHDd34BpmIefSwFdgQXAvwq8Li0tjcOHD9OwYcPbaq+6tzT4KqWKtcJ6kwUtAl4s8Fz11FS+/r//\nIzExsdBAmfffy5cvk3X1KmOATykQ6NPTuQR8uns3E/fto81zz+Hn54eLiwulS5fGxcUFk8mEi4sL\nUVFRHJgzB9LTc0/fDTQFSlsevwD8SP7ge9BoxJiVRcOGDXFwcPgHn5K62zT4KqXUX0gHVgHhhRzL\nyMigRIkSlC1bNjdAFvw3MTGR4I4dWQC5c8p9gO8AT+BnzMF4BFA/M5Oe69czYcKEfIu5RITFixez\nfft2DqSnM50/A7g/MB64Dhgx99Ib52njRWAl0Nto1M0U7iMafJVSxZqPry/7jEa4Se93DdAAKFPg\n+b3AhStXsLe3p169egQEBFCyZMkbzn9v5EiGXbuWbzFXKPA68FKB1+ZdzPXl8uWsXr2ayZMns23b\nNkSEBg0a0LhBAz7bu5cwyxx1Xct1GmJeQVsf6J/nmrMNBjq0a0dsbCxvv/327X0o6p7TVCOlVLFW\nWPpOXsFAe/5M3QFzb/IRGxtMZcpw6dIlnJ2dSU5OxtvbmyZNmtCoUSMaNGiAt7c3DWvVKvTa8cBz\nmHu+FLi2j40NWfb2ZGRkUKdOHV577TVCQkKwtbVlwoQJTBg1iuWYg/VfiQJ6mUys/+EHmjZtSkJC\nQqFfEFTR056vUqpY8/Lyon3btswqULgCIAXzMO7sAud8BjRv2pS1MTEkJCSwadMm1q9fT1RUFGvX\nrmXv3r1kZGRw4sQJumRl/eViroLcgOdESGvfnkWLFuHoaC6XcfXqVV555RV++OEHbEuUIDg9nbfS\n0hjIjYvFLmIuCDLVUhDk6tWrVKtWTQPvfUTzfJVSxd6Y8HA+cHEhqsDzLsA5oESe56KA/xqNxB4+\nTJ8+fXBwcKBnz558/vnnJCQksGPHDgYPHkz9+vUx2tlR7x8MLgaIULVixdzAu2/fPho0aMCZM2dI\nTk5m+fLlPOrvz8ratfGxsSEY85x0OBBiNOLr4MAUo5H1P/xA8+bNczdTUPcPDb5KqWLP39+fxatW\n0cXWlkmYS0kWdBGYBLzo5MTK9es5cuQIJUuWpGbNmkRGRiIiGAwGqlatysCBA1myZAkDBgy4o3aJ\nCDNnzuSpp56iTZs2/Pzzz6xdu5YdO3bg4eHB2pgYcHJiuYMDZwcN4vyQIQRMmsThEyd4rE0bNmzY\nAOhmCvcjnfNVSilg0KBBxMbG4urgwIaNG+lmNFLdsghrv40NK7KzeaxxY345doxff/2VMmXMS7D2\n7NnDwIEDcXJy4pNPPqFmzZq515w+fTqxI0Ywr5DFXPEUPucL8C9bW1z69OH8+fMcO3aMDh068MUX\nXxAVFUVqaipt27Zlz549bN68mY8//hhHR0e2bNmS7xoHDhygdevWbNmyhQYNGhDSsycuLi733Q5N\nxZUGX6VUsRcZGcnEiRPZuXMnY8eORUSoVKkSp48f5+TJk+zYs4eGDRsSGBhIYmIiR48e5euvv87d\nEzcrK4tPP/2UsWPH0q9fP4YNG0ZERASffPIJCb//zh/kn5ftAWwBzmNONxqHeQU0WBZcGQyk29pi\na2tLtWrVOHfuHJs2bcLX15eGDRsyfPhwXnrpJTp06ICLiwuVKlUiPDx/MlRcXBwvPP00J06e5DmR\n3OHv+2mHpmJNlFKqGNu+fbuUKVNGDhw4IFeuXBE3Nzc5ceJE7vEzZ86Iq6urbN26Vfz8/OT69etS\nr149mT17dr7rZGZmygcffCCurq4CiL29vTzzzDPSrnlzCTcYROC2bhNBStjYiJeXlxiNRnFycpLK\nlSuLyWQSPz8/adCggZw7d07OnDkjpUqVkqefflqWLVuWry0xMTHiaTJJuMEgFwt5j4sg4QaDeJpM\nEhMTUySfs8pPg69SqthKSEgQb29vWblypYiI/O9//5MuXbrc8DovLy85efKk1KpVSzZt2iS//vqr\neHh4yKFDh+Sbb76R5s2bi52dndjb20uLFi1k7NixUrlyZenSpYts3rxZPJydZd1tBN51ICYbG1mz\nZo307NlTGjVqJDNmzJDg4GBxdXUVGxsbeeSRR8RoNErlypWlfv364ubmJqdPn85t68GDB8XTZJKo\nPNe9DtIYpC5IdZARed6vjMkkBw8eLLLPXJnpsLNS6qF0qw0M0tLSePzxx3n66acZM2YM2dnZ1KhR\ng1mzZtGyZct813ryyScZPnw4R44cISYmhjfeeIN+/foRFxeHwWCgXr16vPHGG/Ts2RNbW1sArl+/\nzsSJE5kxYwbp6ek4ifBWWhoDCtkr+CLm9KXxwLgpU9i8eTPZ2dksWbIkN4e4bt26DBo0iOzsbKKi\noli3bh1Go5Fr165RuXJlevToQffu3Znwzjs37PcL5t2OnDHvfNQcmGL5N+9+v6roaPBVSj1U4uLi\nGBcWxpqoKDpBbt3mvHOdoydNYurUqZw/f56lS5diY2PDunXrCAsLIzY2NncuN8egQYNwdHTk6NGj\nLF++HIPBgJ+fHwaDgRdeeIH333+/0LasX7+ebt268cgjj5CVlUXGpUskJCbmm4ONBb4Bmj72GM92\n705YWBjPPPMMixcvxt7eHoCBAweSlpZGZGQkACdOnCAgIIBXX32Vr7/+Gnt7ew4cOIDBYMA2PZ0E\nbr5RxDWgFfA5UIP8+/3qIqwiZN2Ot1JK3T05c52TbzHX6eboKL6+vnLlypXcc5955hmZO3duvuud\nPn1aBgwYICaTSQB59NFHpU6dOjJ27FgRMQ9be3l5yQ8//HBDW5YuXSplypSR6Ohoyc7Olg8++EAM\nBoM8+uijEhQUJK/27y++Pj5iMBhk9+7dcubMGalfv77Ur19f2rRpI5mZmSIisnr1aqlQoYJcunQp\n99rh4eHSr18/ef311+W///2viIikpKTIwIED5UVb20KHtLMsw84mkOEFjvU2GmXatGl3/b+HujkN\nvkqph0Jhc51/Nbfq4eycO9d55MgRKVOmjFy7dk0uXbokI0aMEB8fHwHE09NTOnfuLHXr1hUR8wKt\nSpUqSVZWloiILF++XCpWrCiXL1/ObcucOXOkXLlysnfv3tznevbsKYMGDRJ7e3txc3MTNzc3eeed\nd8TT01N27twp1apVk1GjRkl6erq0bt1axowZI+fPnxdvb2/ZtGlTvp+1Xr168v3330ujRo0kJiZG\nsrOzJSUlRQb07SuTbvGzXwIJBPk+z3OTQIYPGXKv/xOpPDT4KqUeCj06drzpquJMkHogz+Z5Ltxg\nkBeDgkRE5PXXX5fWrVtL1apVxWAwSKlSpeRf//qXHDp0SERELl++LC4uLpKVlSXZ2dlSt25diYqK\nyn3vl19+WUJCQkREZPLkyVKhQoXcc0VE9u/fL56enjJnzhypVKmSlC5dWipWrCjt2rWTGjVqiJeX\nl3zwwQeSlZUlFy9elO3bt4uHh4fUqVNH2rdvLzNnzpT33ntP3nzzTenUqZMYjUZp2rSpGAwGKVu2\nrDg6Ooqjo6OUcnG5ZfAVkHEg/9Xga1U656uUeuDdanOEqcAe4Crm+VUwz3VWsLPDu0oV4uLiMBqN\nPPXUU4wePZpGjRrdcI0KFSrw/fffU6lSJT755BM2btzI0qVLAUhOTiYgIIBatWoRFxfH6tWrcXFx\n4cKFC1y4cIE33niDRx55hPXr1+Pk5MRzzz3H9evX2bZtG8ePH8fBwQGTycTly5cxmUy4ubmRmppK\nYmIi7du3p0KFCri7u+Pm5kZ0dDQGg4F27drx0UcfsWHDBtzc3HBycmLatGnEhoXxeZ79fsFcItMO\n8zzwdaAd8C7QxnI8xGgkYNIkBg0adKf/KdRt0uCrlHrgTZ8+nX0jRhBZSCWpU0AI8A7mILwqz7Hu\nwCYPD6pVq8bWrVvznSciXLt2LTeADhgwgMcff5zKlSuTkJDAhAkT6NKlC2lpaZw/f569e/dy+fJl\nnJ2dSU9Px83NDXd3d+zs7Dhy5AgGg4HMzEyGDh2Kj48PZ86cYcaMGdSqVYvTp0/j4ODAJ598Qps2\nbUhISCAgIIAuXboQGxvLli1bsLe3JzExkVq1atHhqac4nZBAWlYWS5cuJTExkQULFhAREcH1Cxdu\nWHD1M+ZdmbItt17AcMsxXXBlHRp8lVIPvOFDhuAxbRphhRzrCrwNXMGcXpM3+IYD4x0dad66NQ4O\nDly4cIGLFy/mBlw7O7vcIHrp0iVKlChBkyZNcHd35/vvv8fb25vu3bvz2WefkZKSwmOPPcbPP//M\nxo0bsbW1JT09HV9fX9LS0hgwYAC//vorK1eu5LvvviM0NJSFCxeSmJjIqlWr6NGjB6+//jqPP/44\np06dokWLFowZM4agoCBKly5N+sWLrF67lvYZGbkrpffb2LBSBAc7O3BxwcPDg9JGI51++YURt/nZ\naaqRdeiWgkqph9a3mMs3BgCbb/YiEWrWrMmjjz5KpUqVqFixIqVLl8bNzQ2j0Zj7si+++IK1a9cy\nZ84cAHbv3k2XLl24fv06rq6urF27Fjs7O1q1asWMGTN4/vnnadeuHcnJyRw5coSQkBB69+7NV199\nxZAhQ1i1ahWBgYFs376d3377jaCgINq0acMLL7xAdHQ03bp1A+CVV16h27PPMgaYWTBHODubS8Cn\nGRlMSUtjyJAh/Oc//2E8UJ/b2+/3AxcXtkya9Dc/WXWnNPgqpR54Pr6+7DMaocCw84+Y53hXA6mY\ne78vAV9YjscaDHiUK8f+/ftZu3Ytf/zxBykpKXh5eVGuXDnKlStH+fLlKVeuHOnp6Wzbto29e/dS\nrlw5fH19OXfuHFWrVmXp0qXY2Zn/nM6fP5969eoxfvx4HBwcWLBgAba2tvz444+0bduWqVOnsmnT\nptwNGCpXrsxvv/0GmOeu9+7dy+LFi/nvf//Lp59+yslDh1guwlOWNl8CXgZ+BQxABDACqH/9Os+/\n9ho4O/Piyy/Tac4c3jUYblrUY7bBwAeW/X61vnPR+//27jwuqur/4/hr2BwQgghRcwPBDUUEzcyl\nTE1TFAjzJ5IpWlpaWhYqWnzTEoRMEf2quWSau5Zr7kuZ27c0l0QYFxTEBUnFBRVkOb8/ZiBQyH1Y\n/Dwfj3k4c+8Mc+5Ved97z7nnI5edhRCl3r0GXIG+kEH+y86pwPPA4GHDGDx4MFWqVAHIG+h0/vx5\nzp8/z7lz5zh//jxJSUksWLCABg0acO7cOS5evIiFhQXlypWjWrVqmGs0WFlakpKayoULFzAzM8PV\n1ZWdO3fy/fffM2XKFG7dusXmzZtxdnbOa5dSCltbW+Lj4/H398ff358BAwawdu1aBr3zDoOvXi1w\nCczWrSsAACAASURBVLk3+kky+qKfreoGYGtYFwFsfeklDh4/jrW1Nc09PFi3cSO+kFehKU6rZRXQ\nqUMHQiMiJHiLiYSvEKJMCPT1LXRaxVzbgfH8M9o5AgjTaKjt6cnJkydp2rQpvXv3xs/PDysrq0J/\nRu3atZk8eTIDBw6kU6dOJMTGsnXbNrqam9MgMxOAg8BqExPIySG7XDlycnLIzs7G1NSU5s2b4+Tk\nVOCMunLlyvTr14+XX36ZPXv20LhxY1auXImbmxt//f47p7Oy8g4orqK/hH6yiH2QWxGpSatWNG/e\nnLFjx+ZNs3k2MRGAKjVqSEnBEkDCVwhRJuh0Ol554QXmpaXdV1/nG8D0efPYsmULP//8M+3atePS\npUv8+eefdO3ald69e9OiRYsCU022a9eO/fv3ExQUxIKZMwm+cYN+hVzWvQJ8C4zRaHBxdycmJoYN\nGzaQlZWVd0ad+zh+/DixsbFkZ2djYmKCg4MDlStXJikpidcuX2Zxvp97EHgP/bSQh4DGQDT6OZtz\nBZqasq9mTaKiovD29n6ofSmePAlfIUSZsXPnTrp27MinN27Qv4i+zhkaDV8BjZo3z7u9SKfTMXr0\naH755Rf69++PhYUFCxcu5Pbt2/Tq1YtevXqRnJxM27ZtadGiBYf27GF+WlpeP2wS+r7kFPT9sP2B\nwehD3g9o1b49GzduzGvH0aNHWbRoEQsXLiQnJ4fk5GRefPFF3nrrLSZPnsy5c+d4ztaW3sePFxjB\nvQ94CX1f9gvAx8Az6OsB54oERpubcy4lBTu7oi7Ci+JmUtwNEEKIx6Vly5Zs37uXQz4+OGu19NZq\niUQfSEFaLTW1Wg75+KApXx5ra+u8z9WtW5dFixaxefNmYmJimDZtGgMGDGDu3LmkpKTg4eHByy+/\nTOvWrYn/6y8+vXEjL3gBzIEo9IOg/gdMAeLQjzb+DxC3bx9nzpxhwoQJNGnShNatW3P16lUWLlyI\nj48PNjY27N69m4kTJ+Ll5YWvry830tLu2r6qhkfuFCBvAvsL2Q+2trYSvCWchK8QokypW7cuC1au\nRJeQgP377zPJ0ZFLQ4bgGRGBLiGBPh98QI0aNUhMTGTOnDkFPuvu7s7y5ctZvXo1GzZsoEePHmRl\nZWFhYUFoaChXrlzh3IUL9L/jgmEloJHhuTVQDzhneP0ecPHyZerUqcORI0cYOXIkCxcuxNramm7d\nuhEVFcXFixfJzMzE1tYWCwsLatWqhUvduhy6o7pSJaAacMzwegtQ/47t/8vMDFcZRFXyGX9GSyGE\nMI7Zs2ernj17FljWpUsXNWPGDBUTE6McHBzU4cOHi/x8SEiIsrCwUFWqVFFz585VY8aMUd3vMW/y\nKVDVQV3PtyzAxESZmJgoBwcHZWlpqZ555hllaWmprKys1CeffKL++OMPValSJbV27VrVvXt3ZWtr\nq7y9vdUz5uZ3VWc6CKoJqIag3jAUSshddxlUeRMT9e233z7pXSsekdznK4Qos2JjY6lXr17e65Mn\nT7Jnzx4WL16MlZUV33zzDd26dWPv3r0FLkMDfP311yxevJiYmBjOnTvHkCFDiDl4kK/+5fvS0F8K\njkZ/BpyrUU4OOytVIuXyZRo2bMjHH3/Mrl27uHbtGm+//TZz5swhOTmZ0aNHExQUxNSpU7G3t6eb\ntzffrltX4FYjD2BvEd8/Q6PB3NSUzp07P8huEsVALjsLIcqsuLg43Nzc8l5PmTKFvn375t1K1Lt3\nb5o1a8bAgQNRhkvJSilCQkKYM2cOO3bswNXVldjYWJKSkmjs5VXkd2UCXYGe6AdZ3cnGxgYPDw+8\nvb0xNTVl4cKFHDhwAD8/P2xsbHB2dmb27NkMGDAAe3t7zpw5w8Fjx/gK/cCte9kEfGNpSXlHx7x7\nlkXJJWe+QogyKy4uLu/MNy0tjTlz5rB/f8EhSlOmTKFp06bMnj2boKAgBgwYwMGDB/ntt98wMzPj\n//7v/zhx4gS7du1i/fr17D10CLKyCvwMBbyD/hagjwtpR6xWS59+/bCysmLIkCFkZWXRvn17RowY\nQatWrTAxMWH//v3Ex8dTv359Dh48SJcuXTA3N0dZWhKQk8OwjAzeh3+drSro/fdJSUl5PDtPPFFy\n5iuEKJNu3brFuXPncHFxAWD+/Pm88sor1KhRo8D7rKysWLp0KSEhIXTq1In4+Hi2bt3KqVOn8PLy\nomLFiuzZs4fatWsTEBDAGo2GK3d81y5gPvAL+kkwPIENhnWpwE+ZmYwZM4aff/4ZFxcXrK2tWbZs\nGa+88gomJvpfw66ursTHx7NhwwbatWuHjY0NV69eZcaMGThUr86mpk1xLleOQBOTQkdwb9+7l+Tk\nZFq1avWE9qh4nCR8hRBl0tGjR3FxccHMzAylFJMnT2bQoEGFvrdGjRpUqlSJ3bt3s2jRImbNmoW3\ntzfjxo3jv//9L1qtlqysLFavXo2pRsO3d3y+JfpSfQeBA4bH64Z104HahprB7777LtnZ2fj5+fHx\nxwXPkV1cXFi1ahU9e/bE3NycNm3aoJTi1q1bODo6smXPHt4IDORPV1dSBg8uMIJ7wcqV1K1blx07\ndtCyZcvHuRvFEyKXnYUQZVJsbGxef++2bdswMTGhdevWd73v8uXLdO7cmSZNmuDu7o6npydVq1bl\n999/x9nZGaUUq1atYsSIEVSqVIlpP/xA34CA+64aFGlhgdmlS2zdupXg4GBWrFiBu7s7jRo1Yvny\n5fj7+3P+/Hlmz55N3OHDmJub4929Ow4ODvj4+PDll1+ydOlSoqKi2LdvH3/88Qe2trZ3fVdSUhI3\nb96kTp06j7zvxJMn4SuEKJPy9/dOmjSJQYMGFZgqEuD8+fO0b9+e1157DT8/P9566y0yMjIICgrC\n2dmZ3bt3M2zYMK5evcr48eN59dVXWbJkCVkWFvhnZhIKRVYNmg6Em5oS/e23uLi48Prrr9OgQQO8\nvLwoV64c8+fPp3PnzsydNo2t27bRJSeHHgAZGeiWLmVcRgY1qlWjXr16nD17lqioKPbs2VNo8AJ5\nZ713bqMomWR6SSFEmdS1a1e6detG06ZNadq0KYmJiZQvXz5v/cmTJ3nttdcICgrC1NSUSZMmMWvW\nLFxdXWnevDmNGjXixIkTfPXVV7Rp04aZM2cyY8YMPDw8SE1NBeD4oUPczszEz9SUhoZBWEcsLPgp\nM5Mu3t64NGzI7NmzqVKlClevXsXd3Z2TJ0+yePFiLl68SOc2bRiRmcl73D2QKnd+6HFaLdnlyvHL\nL7/g6elZ5PYOGDCA2rVrM2TIkMe7I8UTIX2+QogyKfc2o6lTp9K3b98CwXv48GFefvll+vfvz44d\nO1i/fj379u3Dy8uLqKgoMjMzOXz4MDNmzGDTpk14eHiQkJBAYGAgp0+f5uTJk5iamvJnXBwnz5/H\ntEcP5taqxaUhQ0hs1owPgoNZvGYNYWFhbN26FZ1Ox6VLl7C0tKRr16689NJLdGnblmWZmQzn7uDF\nsCwEWJSejmlGBpaWlv+6vTt37pT+3lJEwlcIUSZcuHCB6Ohohg4ZwqeDB3Ps2DHMzc2ZM2cOAwcO\nzHvfnj17aNeuHb1792bSpEk0bdqUVatW8e233+Lu7o61tTVRUVGYmJjQtWtXsrOzcXd3Z+3atdy8\neZPvvvuOefPmUb58eWrWrEnFihWpXbs2Pv7+jB03jmPHjvHuu+8CkJOTw8CBA/nPf/5DYmIi9erV\nY9KkSdiYmDD89u0C80ODfoR0XaAW+tHMoO9XHp6RwVchIQXem397B73/PsePH+f5559/QntXPHbF\nOLuWEEI8sri4ONXDx0fZabUqSKtVEaAiQAVoNMrGzEy5VKqk4uLilFJKbdy4UT333HMqICBAVa5c\nWa1du1ZFR0crR0dH1b17dxUcHKyef/551bBhQ9WqVStlYmKi3N3d1bJly9StW7fyvjMpKUlVrFgx\n73WfPn3UjBkz1NatW5WXl1fe8gkTJqgWLVqorKysvGUTJ05UWrhr2sgsUC6G6Slvg/IAFZtv2kg7\nrVYlJycXub09TEyUnVarevj45G2vKLkkfIUQpdaOHTuUo7W1+lqjuSvMlCHgIjQa5Whtrb788ktl\nb2+vPDw8VNu2bdXUqVOVs7OzatGihfLz81M2NjbK3d1dOTo6qsaNG6vo6Gi1e/du5eDgoPbv31/g\ne3NycpStra36+++/lVJKvfzyy2rLli2qX79+6uuvv1ZKKXXkyBHl4OCgTpw4kfeZ8PBwZW5urgI0\nmrvauhtUh3yvxxoeua97a7Vq8ODB99zeSMP27tixw7h/GeKBSPgKIUqluLg45WhtrTbdo9CBArUR\nlBUoOzs71adPH+Xp6alcXV1V/fr11TPPPKOef/55VblyZTV8+HAVExNT4HsWLlyoXF1d1dWrVwss\nb9Gihfr111+VUkpVrVpVHT16VD333HMqISFB3b59WzVu3DivwEFmZqbq1auXsrS0VLWcnVVEIW1c\nBurdfK/ngfow3+tPQNmam9/39lawtpYz4BJM+nyFEKXSl8OH31VXF/RFDdyBBobnoO83DQUsDffs\nxsfHc+nSJU6dOqW/3WfuXJKSkoiIiKB+/YJF+nr06EHbtm1599138+Z/BmjQoAExMTGkp6eTkpLC\n0aNHqVOnDjVq1CAsLIwKFSrQq1cvdDodjRs3ZtGiRbz++utUq1at0O251w1CvwGumZn0NGxfrlHo\na/zmn1mrPRB848Zd/cSi5JBbjYQQpc6FCxeo6+TEqfT0AiOFY4Ae6Kv+mKOfZepbwAX9vbfPA9nm\n5nh4ePDhhx/i7++PjY3NPb8vPT2dZs2a0bNnT3x9fTl69Cjh4eGcO30aR0dHYnQ6KlSokFcZSafT\nodVqyczMJCcnh5ycHBo2bJh3z271PXuYf8f80P9DH6S501KORT8idjhwwbANS4HKQC/gsOF9owEb\n4JM72pwK1NRq0SUkULFixXtuozAumWRDCFHqLF68GD/uvkVHB7wIaA2vXwGWA0OBZwF/MzNqjRzJ\nqFGjyMzM5NKlSyQkJPD3339z8eJF/v777yKfX7x4kaFDhzI2NJT0jAx8AV+l4OxZXDQaVp0+TdVG\njUhISWHChAl4eXnh7e2NhYUFO3fupK6hwH1ycjJ1a9Tgyh3tbwIcBxLQHyQsARYZ1s0GOgOdDOvv\nVNgZ1LOAr2FfffTRR/e7a4WRSPgKIUqdMwkJ1E1Pv2t5A+Az4DL6AF4LNM23vmFWFt9ERxMdHU1a\nWhr29vZUqFABBwcHKlSokPe8Tp06tGzZssBynU5HN29vhqWn3z0phlL6STEOHmSsmRnXr1+nbdu2\nuLm58euvv2JnZ8etW7dYsmQJkydPxsLMjOmZmQzPd+HRDPgv0AHIRl8lKbcS8Sb+mSu6MJOBH9AH\n+Ph8bauXns7ZxMT72qfCuCR8hRBlRl30l2nbA+XR94HeObDF29ubCZMmYWdnl1dR6F50Oh09fH1Z\nnJ5eoI/ZCXgGMEV/mfsPwCsrC7/QUNp7e7Nq1SrOnDlDREQEs2fPpkmTJnz11Vc4OTnx6osv4pmW\nVmB+6I6GR36bgD/NzXk9M7PQtg0A/mN4Hgp8Cnx3X1slipMMuBJClDpVnZzQabWFrusL7AO2oz8D\nzF9m4IBGw4IlS2jatCn+/v58/vnnLF68mCNHjnD79u0iv6+owV0a4Ff0VYz+MCxrD3yh0XA7NZU3\n33wTLy8vMjIy2LVrF+vWraNTp064ubnx0/r1vG1tzdeFlCgEfZ/t1xoNb1tb02fAgCK319HQDg3w\nbr52AMRptVS5o4SiKBlkwJUQotQpasAVQAr6QDqN/hLu7+jPTnMHIMWcOMH169eJiYkp8EhMTMTV\n1ZX69evToEGDvIeVlRX1XVwK/S5n9EH/3B3LU4GqGg1fREQwcODAvIFYd9LpdHwVEsK6jRvxRX+Z\nGPShuQro1KEDoRER2NjYUM/ZmdOZmVwBuvDPgKvz6AdhAUShH2y2EBlwVdLJZWchRKmTnZ1NZUdH\nvj19mjtvpnkTuIT+MvBU9MELMFOjoVOHDlSpUgWAunXr8uabb+Z9Lj09HZ1OlxfGs2bNIiYmhnPn\nztE1K6vQ+Zc1QDv0l53fA/oZlj8LdCtXjnLlyhUZvLltWLByJRcuXGDx4sV5/bOeNWoQGRCAnZ0d\nP/zwAxEREdjZ2ND68mVSgItANfQjnX9FX0dYg/5gYPod2yvBW0IV613GQgjxAK5du6ZCQ0OVvb29\nevfdd5Vj+fJq431OOuH4kJNODBowoNBJMRSoc4Y/UwzTQf6Wb10EqKFDhjzUdt64cUNFR0erqlWr\nqg4dOqjffvstb1KRJ729wjikz1cIUeJlZWUxffp0ateuzalTp9i/fz8zZ87kpw0b7rvf9Kf16/Nu\n93kQ5cqVK3Jd7uXeCsAbFOxvfRjXrl0jMjKSmjVr8ssvv7BixQo2bNhAq1atqFu37gP1Ez/s9grj\nkPAVQpRYSinWrFlDw4YNWbp0KWvXrmXevHnUMAwiatmyJdv37uWQjw/OWi1BWi2R6CsCBWm11NRq\nOeTjw/a9ex+63F5Rg7tuAtcNz2+gH5Wcf+apBxnsdPnyZUaNGoWLiwuHDh1i8+bNrFixgiZNmhR4\nnzG2VxiHDLgSQpRI+/btIzg4mL///ptx48bRsWNHNJqiJ2G8s9+0So0aBAQEPHKfZ1GDu06hP9sF\nyALeAkYYXt/vYKcLFy4wYcIEZs2ahZ+fHyEhIdSqVeu+2/UktlcYh4SvEKJESUhIYOTIkWzfvp1R\no0bRp08fzMyKd2xooK8vjdasYdh9/rr8WqPhkI8PC1auLHR9UlIS48aNY/78+QQGBjJ06NC8s3nx\ndJDwfYrlHjmfSUgA9JfX5MhZFJfU1FTCw8OZPXs2gwcP5tNPP/3XkcLGpNPpeOWFF5h3x6QYhdkE\nvG1tzfa9e+/qc42PjycyMpIff/yRd955h08++YTKlSsX/oNEmSZ9vk8hnU5HoK8vdZ2cOBgSgsPE\niThMnMjBkBDqOjkR6OuLTqcr7maKp0RGRgZRUVHUqVOHa9euERMTwxdffFFighd45MFOsbGxvP32\n27z44otUqlSJ48ePM27cOAnep1kxjrQWxeB+io9LMW5hDDk5OWrJkiWqZs2aytvb+646uiVRXFyc\nCvT1VXZareqt1aoIwy1FvbVaZafVqkBf3wK39+zfv1917dpVOTo6qvDwcHXlypVibL0oSeSy81Mk\n99LZ/LS0u6bJu9MmoKe1Nb8VculMiEe1c+dOgoODyczM5JtvvuHVV18t7iY9kHsNdtq9ezdhYWEc\nPHiQ4OBg+vfvT/ny5YuzyaKEkfB9iuQOGtEpxVr0U/DlTlE3FPgZsEBfN/R7YPo9Bo0I8aCOHTvG\n8OHD2b9/P+Hh4fTo0eO+ixuUdEopfvnlF8aMGcOpU6cYPnw4QUFBaIuYk1k83SR8nxL5b5c4DFhT\nsCD3ZqAt+kEAudP1DUfmhhWPR0pKCqNHj2bp0qUMHTqUwYMHl5lQUkqxdu1awsLCSE1NZcSIEQQG\nBmJubl7cTRMlWNk45BT3lL/4eCv0c8/m9xr//GN4EThDwWLcQjyMmzdvEh4ejpubG+bm5sTFxTFs\n2LAyEbw5OTn8+OOPeHl58dlnnzFkyBCOHDlC7969JXjFPUlhhadEUcXHCzMb6GF4LsW4xcPIzs5m\n3rx5hIaG0qxZM/73v//h6upa3M16LLKysli0aBHh4eHY2try5Zdf0rlz53+dAESIO0n4igLC0Pf7\nBhZ3Q0SptXnzZoYOHUr58uVZunQpL730UnE36bHIyMhg7ty5REZGUr16dSZPnkzbtm0ldMVDkfB9\nSlR1cuKgVgv/cvY7B1gHbM23LE6rxVNm3hH34a+//mLYsGHEx8cTERGBv79/mQimmzdvMnPmTL75\n5hsaNGjA3LlzZd5k8cikz/cpERAQwEoodHIAgA3AOGAVkNsblwr8ePs2Tk5OyLg8UZSzZ8/St29f\nXnvtNby9vTly5Ahdu3Yt9cF77do1IiIiqFmzJtu3b2flypWsX79eglc8FhK+T4mKFSvSsX17Zmg0\n9ACaA0fRF+SeDQwC0tAPvPIEBqIvym0CBAUFUatWLcaPH8/FixeLZwNEiXP9+nVCQ0Np2LAhFStW\n5NixYwwaNAgLC4vibtojuXz5Ml988QUuLi4cPnyYLVu2sHz5cho3blzcTRNliITvU+Q/kZGML1+e\nPsA54DaQBPQFjgOJwAHDww+IsrZm3fbt9O/fn5SUFKZNm0bNmjXp3r07W7ZsIScnp7g2RRSjrKws\npk2bRu3atUlMTOTAgQOMHTsWW1vb4m7aI0lOTmbYsGHUqlWLs2fPsmfPHhYsWECDBg2Ku2miDJLw\nfYo8zPy0LVu2JDIykoSEBHr27ImZmRnx8fF88MEH1KpVi/DwcM6fP2/sTRHFQCnFqlWraNCgAT/9\n9BPr1q3jhx9+oHr16sXdtEeSlJTEoEGDcHNz49atWxw4cIBZs2aVmdHZomSS8H3KPGwxbnt7e0aN\nGkVCQgJvvvkmqampVK9enb179+Lm5oafnx9r164lOzu72LZNPDl79+6ldevWfPbZZ0RFRbF582Y8\nPT2Lu1mPJD4+nn79+uHh4YGlpSWxsbFMnjy51B9MiNJBZrh6ij1KMe4bN24wc+ZMxo0bR4MGDfD0\n9GTbtm2cP3+evn378s477xT5S0xKGZYep06dYuTIkfz222+MHj2aoKCgYq+t+6iOHDnC2LFj2bBh\nAx988AGDBw/mueeeK+5miadN8dRzEGXFrVu31LRp01SNGjVUmzZt1MyZM9XAgQOVvb296tixo1q+\nfLm6ffu2UkpfEaaHj4+y02pVUL6KMEGGijA9fHwKVIQRxefy5cvq008/Vfb29mr06NEqLS2tuJv0\nyP7880/l7++vHB0d1dixY9XVq1eLu0niKSZnvuKxyMzMZMGCBYSHh1OhQgWCg4O5du0as2bN4sSJ\nE7Rt25aNK1Yw7NYt+imF3R2fvwLM0GgYX758Xl+zML6MjAymTJlCREQEb7zxBqNHj6ZSpUrF3axH\nsmvXLsLCwvjrr78YOnQo/fr1w8rKqribJZ5yEr7iscrOzmbZsmWEhYVhYWHB559/jpmZGW937Uqz\nzEwOULCa0jJgFKAD9gIXkVKGxUEpxdKlSxkxYgT169cnMjISNze34m7WQ1NKsW3bNsaMGUNiYiIh\nISH07t2bcuXKFXfThAAkfMUTkpOTw+rVqxkzZgxnjh5lyI0bNFfqrmpKOvSj/t4DxgNe6EdbSylD\n49mxYwfBwcFkZ2czbty4UldbNz9lqDA0ZswYrl69ysiRI+nRo0ep76cWZY+Er3iikpOTqVO9OomZ\nmdgBCUAX/gnfXK/yT/imIqUMjeHo0aMMHz6cgwcPEh4eTkBAQKmtrZudnc3y5csJCwsD4LPPPsPf\n3x9TU9NibpkQhSud/9NEqbFkyRL8TU3v6uP9N1LK8MlKSUlh4MCBtGzZkhYtWqDT6QgMDCyVwZuZ\nmckPP/xA/fr1GT9+PGPGjOHAgQN069ZNgleUaKXvf5soVR6klGF+9dLTWb9mDdevX38CrXo63bx5\nk7CwMNzc3ChXrhw6nY6hQ4eWytq6GRkZTJ8+nTp16jBnzhymTJnCnj17pLSfKDUkfEWJdejQIZ5/\n/nl69uzJ77//LsUdHlJ2djbff/89derU4dChQ/z+++9ERUWVyntbb968ycSJE3FxcWH16tXMnz+f\nbdu2SWk/UerIKATxRN1PKcNc+aP1sJkZTq6uZGVl8eOPP7Jo0SIsLS3x9PSkS5cuNGnShPr16+Po\n6Ci/dP/Fpk2bGDp0KDY2NixbtoxmzZoVd5MeyrVr15gyZQrR0dG0bNmS1atX4+XlVdzNEuKhyYAr\n8URduHCBuk5OnEpPZwCwHf3tRBWB0YA9+opKFwFb9BWVFlJwwJVSirNnz7Jo0SIWL15MTEwMdnZ2\n3Lp1CzMzM+rXr4+bmxtubm55zytXrvyvoVzWZ9nKvaf11KlTeffslsaDlEuXLhEdHc3UqVPp2LEj\nI0aMKNW3QAmRS8JXPHGBvr40WrOGYff5T+1etxpdvHiRefPmMXPmTDIzM2nbti1OTk4kJSVx5MgR\nYmNjuX379l2B7ObmRlpaGl+FhLB+0yb8IK8/WqfVshLo2L49/4mMLLX3GJ85c4bQ0FDWrVtHaGgo\n7733Hubm5kZvx6Me3CQnJzNhwgS+++47/P39GT58uBQ6EGWL0efUEk+duLg45WhtrTaCUvd4bATl\naG19X9NM5uTkqB07dqhevXopW1tb1a1bN7Vp0yaVnZ2tUlJS1Pbt29XUqVPVhx9+qNq0aaPs7e2V\nlWFKy9RCvjsVVKRGoxytrdWOHTuMsGcKl5ycrCZOnKiCP/5YBX/8sZo4caJKTk7+189cvXpVffbZ\nZ8re3l6FhISoK1euGKm1BT3qFKKJiYnqww8/VM8++6waNGiQOn36tBFbL4TxSPgKo9ixY4dytLZW\nkRpNocF3+RGDLzU1VU2ZMkU1atRIOTs7qzFjxqizZ8/mrc89ANh0nwcA9lptXpAby8ME1+3bt9WU\nKVNUxYoVVa9evYo1rHL/jr8u4u/43w5ujh8/rt555x1lb2+vhg0bds+DDSFKOwlfYTRxcXEq0NdX\n2Wm1qne+cOltCJdAX99HLqyQk5Oj9u7dq/r376/s7OyUj4+PWrNmjQro0kVFajSqDyhHUA3yhcLn\noBqC8gDVBtRpUGNBPafVKisrK+Xp6aneeustFRYWplauXKmOHTumsrKyHtNe0XvQ4MrJyVErV65U\nderUUe3atVP79+9/rO15UHFxcUprZqbs7ti3uY9vQGlAXTIc3FQwXN2IiYlRgYGBysHBQX3xxRfq\n0qVLxbodQhiL9PkKo3uUUoYPIi0tjSVLljB16lTi9u/nHPqZte6c4vI6YGN4Phk4BIxDP+hrk/Sf\nzwAABY9JREFU7+HDXL58mdjY2Lz+5NjYWJKTk6ldu3aB/mQ3NzdcXFweuI9Vp9Ph6e6ONiuLqvna\ndRnoDiQCTsBS4A8g0NISJzc3MjIyGDduHB06dCj2wVSBvr7Yrl5NfwruW4AkoB9wFPgT/SC7SI2G\nmZUqkZaTw5AhQxgwYADPPPOM8RsuRDGR8BVlXnR0NPuHD2duRgZQ9BSXAGOBq0AEEKTV4hkRwUcf\nfXTX+27cuIFOpysQyLGxsZw9exZXV9cCgezm5katWrWwsLAotH1FBdcwwMHwZyT6aTcjDI+fGzVi\n+759JWIWp/wj2q9w977tBoSin7UsN3xTgRpmZhw6dgxnZ2ejt1mI4ib3+Yoy70xCAm6G4C3KZ8A8\nwAr4n2FZvfR0Dh84wPHjxzExMcHExARTU9O851WqVKFatWp06tQpb116ejrx8fEcPXoUnU7H/Pnz\niY2N5fTp07i4uBQI5Pr162Nra8v6TZs4hb6sYn6r0d+aBdAbaI0+eN8DInU6Ll68WCJujVq8eDF+\ngB13b8MqoCrQ8I7lzwL+ZmasXr260IMbIco6CV8hgDDDIwIYAnxvWL5q1Sq279pFTk4O2dnZ5OTk\nFPq41zqlFDqdjqNHj7JixQpAX4FHKUV3Cg+uC+jvh8bw5wXD82eBDhkZNGrUCEdHx7yDgfyP/AcJ\nT3rdzl9/xb+QSVRuAuHA5nzL8l9mq5eentf1IMTTRsJXlHkPMstWINDJ8DxOq+XzUaMey5lZbtDe\nGczDPvmEatOn3/PzGsMjl6dSWLVrx0fBwQ98IPC41xVVmD4e/SV+D8PrM0Bj9P3Wjo+wL4UoCyR8\nRZkXEBDAqJAQoqDQ6krHgVqG56vQz7KVangeGRDwWNqg0WjQaDR3VQ6ytLQs8jMVgWSgEnCeuwPL\noUIFPDw87vqcsZmZmXFw3767Dm7c+edsHcCZf/p8QX9w41mjhnEaKUQJI4UVRJlXsWJFOrZvzwyN\nhh5Ac/Qjb6sBs4ER6IOiEfAr+rrCMzUaOnXo8MT7VKs6OaEroqqQDzDX8Hwu4JdvXZxWS5USElwB\nAQGsBLqi37fH0O/b7+94X/4z99yDm4DHdHAjRGkjo53FU0Gn0/HKCy8wLy2N9vd47ybgbWtrtu/d\n+8SnmcwdKdwmPZ09/DPv9ZfoRwf/H3Caf241skMfXPnnvi4JHvcUokKUdRK+4qmxc+dOunbsyKc3\nbtBfqbsuQaeiP+MdX748P61fT8uWLY3SrrIQXCX14EaIkkrCVzxVdDodX4WEsG7jRnzRj7gF/WXc\nVUCnDh0IjYgwaiiUleAqqQc3QpREEr7iqWSsWbbuV1kJrpJ4cCNESSThK0QJUZaCq6Qd3AhR0kj4\nClHCSHAJUfZJ+AohhBBGJvf5CiGEEEYm4SuEEEIYmYSvEEIIYWQSvkIIIYSRSfgKIYQQRibhK4QQ\nQhiZhK8QQghhZBK+QgghhJFJ+AohhBBGJuErhBBCGJmErxBCCGFkEr5CCCGEkUn4CiGEEEYm4SuE\nEEIYmYSvEEIIYWQSvkIIIYSRSfgKIYQQRibhK4QQQhiZhK8QQghhZBK+QgghhJFJ+AohhBBGJuEr\nhBBCGJmErxBCCGFkEr5CCCGEkUn4CiGEEEYm4SuEEEIYmYSvEEIIYWQSvkIIIYSRSfgKIYQQRibh\nK4QQQhiZhK8QQghhZBK+QgghhJFJ+AohhBBGJuErhBBCGJmErxBCCGFkEr5CCCGEkUn4CiGEEEYm\n4SuEEEIYmYSvEEIIYWQSvkIIIYSRSfgKIYQQRibhK4QQQhiZhK8QQghhZBK+QgghhJFJ+AohhBBG\nJuErhBBCGJmErxBCCGFkEr5CCCGEkUn4CiGEEEYm4SuEEEIYmYSvEEIIYWQSvkIIIYSRSfgKIYQQ\nRvb/YdwLhBaoWFkAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "barbell=nx.barbell_graph(10,10) \n", "nx.draw(barbell, node_size=200, with_labels=True, font_size=10)\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFBCAYAAAA2bKVrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lollipop=nx.lollipop_graph(10,20)\n", "nx.draw(lollipop, node_size=300, with_labels=True, font_size=12)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Using a stochastic graph generator\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFBCAYAAAA2bKVrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQgghdEzCVwghhNCx/wMOHAdn/Z+ajgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "er=nx.erdos_renyi_graph(100,0.15)\n", "nx.draw(er, node_size=200, with_labels=True, font_size=10)\n" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFBCAYAAAA2bKVrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEYcpfEVERBz2/xD26w3+/3PuAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ws=nx.watts_strogatz_graph(30,3,0.1)\n", "nx.draw(ws, node_size=200, with_labels=True, font_size=10)\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFBCAYAAAA2bKVrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKaWUi/1/RYa8SubZQD0AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ba=nx.barabasi_albert_graph(100,5)\n", "nx.draw(ba, node_size=200, with_labels=True, font_size=10)\n" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFBCAYAAAA2bKVrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSYkZvpIkJWb4SpKUmOErSVJi/wCt9YhYyDllwwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "red=nx.random_lobster(100,0.9,0.9)\n", "nx.draw(red, node_size=200, with_labels=True, font_size=7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "See also http://networkx.lanl.gov/reference/generators.html\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### - Directed Graphs\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- “DiGraph” class provides additional methods specific to directed edges\n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAFBCAYAAACvlHzeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDK6Byrj7WzUAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "dg=nx.DiGraph()\n", "dg.add_weighted_edges_from([(1,2,0.5), (3,1,0.75), (3,2,0.1)])\n", "nx.draw(dg, node_size=200, with_labels=True, font_size=10)\n" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2\n", "2\n", "0.5\n", "1.25\n", "\n", "[1, 3]\n", "[]\n", "[2]\n", "[2]\n" ] } ], "source": [ "print dg.in_degree(2)\n", "print dg.out_degree(3)\n", "print dg.out_degree(1, weight='weight')\n", "print dg.degree(1, weight='weight')\n", "print \n", "print dg.predecessors(2)\n", "print dg.predecessors(3)\n", "print dg.successors(1)\n", "print dg.neighbors(1) #(equivalent to dg.successors())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### - Multigraphs\n", "- “MultiGraph” and “MultiDiGraph” classes allow you to add the same edge twice between any pair of nodes, possibly with different edge data.\n", "\n", "- These can be powerful for some applications, but many algorithms (e.g., shortest path) are not well defined on such graphs.\n" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{1: 1.35, 2: 1.75, 3: 0.6}\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFBCAYAAAA2bKVrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "mg=nx.MultiGraph()\n", "mg.add_weighted_edges_from([(1,2,.5), (1,2,.75), (2,3,.5), (3,1,0.1)])\n", "print mg.degree(weight='weight')\n", "nx.draw(mg, node_size=200, with_labels=True, font_size=10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### - Graph Features" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### - Graph generators and graph operations\n", " - Using a call to one of the classic small graphs" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFBCAYAAAA2bKVrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n2zWB7QQAAAADSURBVIRh7iSiaGcAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "eccentricity(g, 5): 3\n", "radius(g): 3\n", "diameter(g): 5\n", "center(g): [4, 5, 6]\n", "periphery(g): [2, 9]\n" ] } ], "source": [ "import networkx.algorithms as algo\n", "nx.draw(g, node_size=500, with_labels=True, font_size=16)\n", "plt.show()\n", "\n", "print \"eccentricity(g, 5):\", algo.eccentricity(g, 5)\n", "print \"radius(g):\", algo.radius(g)\n", "print \"diameter(g):\", algo.diameter(g)\n", "print \"center(g):\", algo.center(g)\n", "print \"periphery(g):\", algo.periphery(g)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### - Node Attributes" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.add_node(10, time='5pm')\n", "g.nodes()" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{}\n", "{'time': '5pm'}\n" ] } ], "source": [ "print g.node[2]\n", "print g.node[10]" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13]" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.add_nodes_from([11, 12, 13], time='2pm')\n", "g.nodes()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[(1, {}),\n", " (2, {}),\n", " (3, {}),\n", " (4, {}),\n", " (5, {}),\n", " (6, {}),\n", " (7, {}),\n", " (8, {}),\n", " (9, {}),\n", " (10, {'time': '5pm'}),\n", " (11, {'time': '2pm'}),\n", " (12, {'time': '2pm'}),\n", " (13, {'time': '2pm'})]" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.nodes(data=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### - Edge Attributes" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[(1, 2),\n", " (1, 3),\n", " (1, 4),\n", " (2, 3),\n", " (2, 9),\n", " (3, 4),\n", " (4, 5),\n", " (4, 6),\n", " (5, 8),\n", " (5, 6),\n", " (5, 7),\n", " (6, 8),\n", " (6, 7),\n", " (7, 8),\n", " (7, 9),\n", " (40, 41),\n", " (20, 21),\n", " (30, 31)]" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.add_edge(2, 9, weight=4.7)\n", "g.add_edge(20, 21, weight=10.0)\n", "g.add_edges_from([(3, 4),(4, 5)], color='red')\n", "g.add_edges_from([(30, 31, {'color':'blue'}), (40, 41, {'weight':8})]) \n", "\n", "g.edges()" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[(1, 2, {}),\n", " (1, 3, {}),\n", " (1, 4, {}),\n", " (2, 3, {}),\n", " (2, 9, {'weight': 4.7}),\n", " (3, 4, {'color': 'red'}),\n", " (4, 5, {'color': 'red'}),\n", " (4, 6, {}),\n", " (5, 8, {}),\n", " (5, 6, {}),\n", " (5, 7, {}),\n", " (6, 8, {}),\n", " (6, 7, {}),\n", " (7, 8, {}),\n", " (7, 9, {}),\n", " (40, 41, {'weight': 8}),\n", " (20, 21, {'weight': 10.0}),\n", " (30, 31, {'color': 'blue'})]" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.edges(data=True)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{'weight': 4.7}" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.edge[2][9]" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "4.7" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.edge[2][9]['weight']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### - Getting Degree Information" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFBCAYAAAA2bKVrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xlc1NX+x/EXqBhOZVrovVfD6FqWSEVkBIHighsg6bUM\n27Qyl7RuLnnN1LJF66qtZoumlSmVlQKaC5gmgRq4gNgiLpGaiml2HVGQ+f7+QOfnMsM6zAzyfj4e\n87Dm+53z/XC78p5zvt9zjodhGAYiIiLiNJ6uLkBERKS2UfiKiIg4mcJXRETEyRS+IiIiTqbwFRER\ncTKFr4iIiJMpfEVERJxM4SsiIuJkCl8REREnU/iKiIg4mcJXRETEyRS+IiIiTqbwFRERcTKFr4iI\niJMpfEVERJxM4SsiIuJkCl8REREnU/iKiIg4mcJXRETEyRS+IiIiTqbwFRERcTKFr4iIiJMpfEVE\nRJxM4SsiIuJkCl8REREnU/iKiIg4WV1XFyAi1SM3N5e1a9eyMT2dA3l5ADT19eXWkBDCw8Np2bKl\niysUqb08DMMwXF2EiDhOUlIS059/nm05OXTy9CTIbKb56WN7gEyTiRSLhdb+/oyYOJHo6GhXlitS\nKyl8RS4S+fn5DO3fn+w1a3jebKYX4GXn3ELga2CiycRNERHMmDMHHx8f5xUrUsspfKXKNLzpejt3\n7qRzaCi9jxzhhcJCvMv5uQJgvJcXXzVqREp6On5+ftVZpoicpvCVStPwpnvIz88nOCCAkfn5PG6x\nVKqNGZ6eTPPxYX12tnrAIk6g8JUK0/Cme7k7KooWK1cytaiozHO7ASuAccAL5x0b5eVFXmQknycl\nVUOVInI2TTWSCtm5cyfBAQG0SE5mk9lMX+wHL6eP9QU2mc34rlxJcEAAu3btck6xtUBiYiLZa9bw\nYjmCdwGQdfqfPWwcf6GwkKzVq0lS+IpUO4WvlFt+fj6dQ0MZmZ/P1ArcVwTwBqYWFjIyP59OISHk\n5+dXV5m1ymuTJvG82cwlZZx3BBgBvFbKOd7Ac2Yzr02a5LD6RMQ2ha+U29D+/el9+PAF9xWXAx2B\nvwOXAFdT0tv90UYbj1ss9D5yhMcHDKjuci9627dvZ1tODr3Kce4YIICS/y6l6Q3kbN1Kbm5ulesT\nEfsUvlIupQ1vHgHaAjOAlcBkIAe4A/jNRlsa3nSM1NRUOnl6ljrsD5AKfELJf5+yeAEdPT1JTU2t\ncn0iYp/CV8qltOHNe4FXKOk1hQP3A18B/wMW2jhfw5uOsTE9nSCzudRzCoFBwGjgunK2G2Q2k5mW\nVsXqRKQ0Cl8pU0WGN89ofPrPOnaOa3iz/CwWCwUFBfz5558cOHCAvLw8tm/fzo6cHOvULnteBU5S\n8nRzeTUH63xtEakeWttZylTe4c3i069fgf8ATSnpFdty9vCmOy3CYbFYKCws5OTJk5V6VeWz9j5/\n6tQp6tevf8Hr+P79pf4secBLwGxKFtMoOOvYCeAocBn6Bi7iCgpfKVN5hjcBgoGNp/+5BZACNCnl\n/CCzmfXffUevXr2qLbgq+vmioiK8vLxshl1pL1uf8fb25oorrqj058+86tWrh4fHhZODhj/2GHs+\n+MDu/747Ken13m/j2NTTr83ATecd20PJCmUiUn0UvlKmA3l5hJfjvHmU3OfdQckv9q6UPOzTws75\nzYEX5s5l3hdfVDjszg+uSy65hIYNG1b682f/s62gc0e3BAezct48KCiweTwQWH3eewbQAXgAeAT4\np43PpXt50fafto6IiKMofMVhbjj9Z1ugO3ANMAWYWcpnunTpwufLllVzZReP48ePs3LlShISEli0\naBGWEycoxPZCJw2BdnbaaWHnWCHwbXExa6ZOZe7cuURHRxMTE0NoaCh16+rXhYij6HaPlKmpry97\nKviZhpT0qnaUco6GN8vnwIEDzJ49m549e/K3v/2NN954g5tuuokffviBwKAgvnbgtb4Cbrn1Vg4c\nOMAnn3yCyWTiqaeeomnTpvTr148FCxZw5MgRB15RpHbS2s5Spjlz5pA8fDifluO+7xkHKAnfB7Df\n8+1nMtHl7bfp379/1Yu8iBiGwY8//khCQgIJCQls27aNrl27EhsbS/fu3WnUqJH13MTEREbHxbHJ\nbK7QimO2FACBJhNT4+Mv2ARj7969LF26lMTERFavXk1gYCAxMTFER0fTqlWrGjNUL+IuFL5Sptzc\nXMJuuom8ggKbw5u9gCBKVlC6HPiFkmUMDwIbAFvPMhcCvt7epGZludXTzq5y6tQp0tLSWLx4MQkJ\nCZw4cYLY2Fh69uxJREQEXl72nzW/OyqKFsnJTC0srFINI728+K0cGysUFBSwatUqkpKSSEpKon79\n+tYgDg8PL7VWESmh8JVy6di2LYMyMmwuT/gq8DklQ8yFlCwv2QEYC9gbVI4HPmjblpQNG6qj3Brh\n2LFjLF++nISEBJYsWYKvry89e/YkNjaWW265pdy9SUdsKfgm8Fz9+mzZvp2rr7663J8zDIMtW7ZY\ng/jnn38mMjKS6Ohounfvrh2sROxQ+Eq5OGt482K3b98+EhMTWbx4Mampqdxxxx3ExsYSExODbxXu\nf+/atYtOISH0PnKEFyqw6UUB8KyXF4saNeKGoCAKCwtZtGgRJpOpUnUcOHCApUuXkpSURHJyMm3a\ntCE6Opro6GjatGmj4WmR0xS+Um6OGt6sTfvGGoZBdna29f5tbm4u3bt3p2fPnnTr1o2GDRs67Fr5\n+fk8PmAAWatX85zZTG9K32f5K+A5k4mbO3Tg7Q8/pHHjxjzyyCPs2LGDJUuWcPnll1epnpMnT7Jm\nzRqSkpJITEzEMAxrEEdERHDJJWXtxSRy8VL4SrmdGd4ckZ/PsEoOb87w9GR6kyasy8q6aIcki4qK\nWLt2rfX+LWC9fxseHk69evWq9fpJSUm8NmkSOVu30tHTkyCz2boM5R4g02RilcWCf5s2PDVhwjmj\nDxaLhWHDhpGRkcGyZcto3LixzWtUlGEYbNu2zRrE2dnZdOzYkejoaKKiovjb3/7mkOuI1BQKX6mQ\nn376iTtuuon+FguTi4srPrzZuDHJaWn4+flVZ5lOd/ToUZYtW0ZCQgLffPMNLVu2tN6/ddVwa25u\nLqmpqWSmpVnXam7q60tQaChhYWF2H3QzDIPRo0eTnJzMihUraNKktHXKKufQoUMsW7aMxMREVqxY\nwXXXXWedU1yR+90iNZXCV8rNMAwGDRrEnj17KDp6lJ/T03nVMCo8vHmx9Hjz8vKs92/XrVtHWFgY\nsbGxREdH06xZM1eXVyWGYTBx4kS++OILUlJS+Mc//lFt1zozUnCmV1xQUEBUVBQxMTF07NiRBg0a\nVNu1RVxF4SvlNnPmTGbMmEFaWhpdu3YlODiY7LS0Sg1v1kSGYbBp0ybr/du8vDyioqLo2bMnXbt2\n5dJLL3V1iQ43ZcoUZs2aRUpKCi1a2Fso1LF++eUXEhMTSUpKIjMzk/bt21uHp5s3L2sfJ5GaQeEr\n5fLdd99x99138/333/PDDz8wdepUfvjhBzw9PSs9vFkTFBYWsnr1auv920suucR6/7a2LLn45ptv\nMm3aNFJSUpz+3/LIkSMsX76cpKQkvvnmG3x9fa1zim+77TY8PbVIn9RMCl8pU15eHsHBwXz00UeE\nh4dzww03MG/ePMLDy7PdQs1z5MgRli5dSkJCAsuXL6d169bW+7c33HBDrbwfOWvWLJ577jlWrFhB\n69atXVLDqVOnSE9Ptw5PHz58mKioKKKjo4mMjLwoRx7k4qXwlVIdP36c8PBw4uLiGDVqFC+++CJb\ntmzhiy++cHVpDrVr1y5r7zYjI4OIiAjr/dumTZu6ujy38OmnnzJq1CiWLl1KYGCgq8uxTolKTExk\n3bp13HnnndapTNdcc42ryxMplcJX7DIMg/vvL9kNdt68efz+++8EBATwww8/cO2117q4uqqxWCxk\nZGSQkJDA4sWLOXjwINHR0cTGxtK5c2c95GPHl19+ydChQ0lISCA4ONjV5Vj99ddfrFixgqSkJJYu\nXUrTpk2tT08HBwdTp04dV5cocg6Fr9g1bdo0Pv30U1JTU2nQoAEDBgygadOmTJkyxdWlVcqJEydY\ntWoVixcvJjExkYYNG1rv3+oXdPktXbqU/v37s3DhQtq1s7dpoesUFxezYcMG65KX+/bto3v37sTE\nxNClSxeHLmwiUlkKX7FpxYoVPPTQQ6xfvx5fX18yMzOJjo7m559/rvLKR8506NAhlixZQkJCAsnJ\nydx888307NmTnj17cv3117u6vBorJSWFuLg45s2bR5cuXVxdTql+/fVXlixZQlJSEmvXruX222+3\nPrRVkx8GlJpN4SsX2LFjB6GhoXzxxRe0a9cOwzBo3749DzzwAAMHDnR1eWXavn279f7tli1b6Ny5\nMz179qRHjx4XzRxjd/D999/Tq1cvZs2aRc+ePV1dTrkcO3aMlJQUa6+4YcOG1iC+8847a8XT6+Ie\nFL5yjv/973+EhIQwdOhQhg4dCsDChQt54YUX2Lhxo1sOzRYXF7N+/Xrr/dujR48SExNDbGwsHTt2\n1BrC1eiHH34gOjqaN998k759be155b4sFgsbN260Pj29a9cuunXrRnR0NN26dXPY0poitih8xcpi\nsdCnTx+uvPJK3n//fTw8PDhx4gStW7dm1qxZdOzY0dUlWh0/fpzk5GQWL15MUlISTZo0sd6/1fxP\n58rKyqJbt25MnjyZhx56yNXlVNrevXtZunQpiYmJrF69msDAQOvT07V1iplUH4WvWE2aNIlly5bx\n7bffUr9+fQBeeeUV0tPTWbRokYurK9muLikpicWLF7N69Wpuu+026/3bmv70dU33008/ERkZybhx\n4xg8eLCry6mygoICvv32W+tKW/Xr17cGcbt27fDysregqkj5KHwFgMWLFzNs2DA2bNjA3//+d6Ak\n7Pz9/UlPT+e6665zek2GYfDTTz9Z799u27aNrl270rNnT7p3765hQTezc+dOOnfuzLBhwxgxYoSr\ny3EYwzDIysqyBvGZLxrR0dF6jkAqTeErbNu2jfbt27NkyRJuv/126/uPPfYYl112GdOmTXNaLadO\nnSItLc16//bEiRPW1aXat29v7ZGLe/rtt9/o1KkTDz74IOPGjbsoh2oPHDjA0qVLSUpKIjk5GX9/\nf+ucYlftYCU1j8K3ljty5Ai33347zz777Dn367Zs2UKXLl34+eefueKKK6q1hmPHjrFixQoWL17M\nkiVLuPrqq633bwMDA/XLrIbZv3+/9Qnzl1566aL+73fy5EnWrFljfWjLMAzr8HRERIQe9hO7FL61\nWHFxMdHR0bRq1YrXX3/d+r5hGHTq1Ik+ffpYn3h2tH379lm340tNTeWOO+4gNjaWmJgYfH19q+Wa\n4jyHDh2ia9euhIWF8frrr1/UAXyGYRhs27bNGsRZWVl07NiRmJgYevToYb2d42y5ubmsXbuWjenp\n52x8cmtICOHh4Zrr7CIK31pszJgxZGRksHz58nPmNy5evJhnnnmGLVu2OGzeo2EYbN261Xr/Njc3\nl+7du9OzZ0+6deumVYcuQn/++Sc9evSgTZs2zJw50y2nqVWnQ4cOsWzZMhITE1mxYgXXXXedtVfs\njBGdpKQkpj//PNtycuhkZ8vPFIuF1v7+jJg4scZv+VnTKHwvEhX9drtgwQKeeeYZfvjhB6666irr\n+4WFhfj7+zNjxowqr1x0ZpP0M/vfWiwWYmNjiY2NJTw8nHr16lWpfXF/x44dIyYmhmbNmjF37txa\nu4jFmb8LZ3rFx48ftwZxp06dHLqWeH5+PkP79yd7zRqeN5vpBdh7NrsQ+BqYaDJxU0QEM+bM0QNk\nTqLwreEq8+1206ZNdOnSxbrc4tmmT59OSkoKS5YsqVQ9f/31F9988w0JCQl88803tGzZ0jodKCAg\noFYMP8q5jh8/Tu/evbn00kuZP3++pukAv/zyi/Xp6czMTNq1a2cN4+bNm5fdgB07d+6kc2govY8c\n4YXCQrzL+bkCYLyXF181akRKejp+fn6VrkHKR+FbQ1X22+0NoaFk/vgj06ZN45577rmgzdatW7N2\n7VpuuOGGcteSl5dnvX+7bt06wsLCrNvxNWvWrLI/olxETp48yb333ktRURELFy7Ug0hnOXLkCMuX\nLycpKYlvvvkGX19f69PTFVkwJj8/n+CAAEbm5/O4xVKpWmZ4ejLNx4f12dnqAVczhW8NVJVvt2M8\nPIhv0ID12dkXfLt9/PHHqVOnDm+++Wap7RiGwebNm633b/Py8oiKiqJnz5506dKFyy67rHI/mFzU\nioqKePDBB8nPz2fx4sWYTCZXl+R2Tp06RXp6unV4+vDhw/To0YOYmBgiIyO59NJL7X727qgoWqxc\nydSiIpvHlwJTgE2AJ3A98CrQ4bzzRnl5kRcZyedJSQ75mcQ2hW8N44hvt297ejL9vG+3W7dupWPH\njvz4449ceeWVF3ymsLCQ1atXWwO3fv361vu3oaGhtfZenlRMcXExAwcO5JdffmHJkiV60K4MO3bs\nYMmSJSQmJrJu3TpCQ0OtG0Fcc8011vMSExMZHRfHZrMZW2MK7wHDT796AMXAFsD/9L+frQAINJmY\nGh+vh7CqkcK3hint2+0e4BUgg5K/WCeA3YCtiTtnf7s1DINu3boRFRXFE088YT3nyJEjLF26lISE\nBFasWMGNN95ovX9744036v6tVIrFYuGJJ55g/fr1LF++XCuVldNff/3FypUrSUxMZOnSpTRp0sQa\nxM8++SSDMzOxtbXFbuBGSn43PGHjuC3xwAdt25KyYYODqpfzKXxrkLK+3a4G7gVuA04BK7Afvmd/\nu/X09GTEiBFkZ2ezZ88e6+pSGRkZREREEBsbS1RUFH/729+q6SeT2sYwDMaMGcPy5ctZuXIlTZo0\ncXVJNUpxcTE//PADiYmJfPnll+z/+WcOYvu5jwnAa8Afdo7bUgj4enuTmpWlecDVROFbg3Rs25ZB\nGRk2v90CGMCZvugs4DHshy+UfLt9LyiIXYcOERwczI8//sj+/fuJiYmhZ8+eREZGOnQKhMjZDMNg\n0qRJLFiwgJSUFD2cV0lz5sxhxbBhLDh+3ObxjsBfwDDgBSAPuAZ4CihtCZ1+JhNd3n6b/v37O7Re\nKaEbdTXE9u3b2ZaTQ69SzqnoIHBvYFBmJkXe3rRo0YInn3yS4ODgWrcYgriGh4cHEydOxNvbm3bt\n2pGSknLOfUwpn43p6bS1E7wA+4DfgaeBycA/gc8pCeNT2B+KDjKbyUxLU/hWE4VvDZGamkonT89y\nDxuVhxfQHrj9mWd49tlnHdiySPk9/fTTNGjQgPbt25OcnOySHbRqsgN5eYSXctwC/A/4CLjr9HsR\nlIyKTcZ++DYH1p9esEccT+FbQ2xMTyfIbHZ4u+2B3foLJi42bNgwGjRoQEREBCtWrMDf39/VJV00\nrgR2AJHnvR8JLAMOAE2dXZRQvtnb4nIH8vKo/Lo39jU/3baIqz388MNMnTqVzp07s3HjRleXU2M0\n9fVlTynH/Sl5HqSi9pxuW6qHwldE3EZcXBzvvPMO3bt3Jz093dXl1Ai3hoSQWcqCJb1P/7nsvPeX\nAVdjv9ebaTIRFBpa9QLFJg071xBlfbutLH27FXfTq1cvvL29iY2N5fPPPyciIsLVJbm18PBwxlos\nFGJ7KlEPSlaxGgQcAvyAL4CVwFw7bRYCqywWJoWFOb5gAdTzrTHK+nZbWfp2K+6oW7dufPbZZ9xz\nzz0sX77c1eW4tZYtW9La35+vSzlnESVrAEwEYoAfgPnAg3bO/wrwb9NGc3yrkcK3hggPDyfl9Lfb\n0iw8/co8/e9LT//7dzbOPfPtNkzfbsUNdejQgUWLFvHggw+yePFiV5fj1voNGsQYT08K7By/DHgb\n2A+cBDZTEsa2FADPmUw8NWGC4wsVKy2yUYOUtcgGnPttyoP/f9AiAlh13rlaQk5qgszMTKKionj9\n9de59157kVE7WSwWZsyYwaRJk7j6yivpsGsX0wrL+opeOm2s4By651uDPDVhAqPj4uhpNtvdyai8\nWy2c+XY7Vd9uxc0FBQWRnJxM165dKSgoYMCAAa4uyS38/PPPPPLII3h4eJCamkrjxo0JDgjg2ipu\nKfh148asmzPHwdXK+TTsXIPExMQQ0L494x2wGfl4Ly9uiojQriVSI7Rp04ZVq1YxceJE3nnnHVeX\n41JFRUVMnjyZsLAw4uLiWLNmDa1atcLHx4eU9HSm+fgwysvL7hC0LQXASC8vpjdpQnJamvbydQKF\nbw3zzty5fNWoETPKucG2LWe+3c7Qt1upQVq1asWaNWuYOnUqU6dOdXU5LrF582aCg4NZvXo1GRkZ\nPP7443ie9bvAz8+P9dnZ5EVGEmgyEQ+lPidSSMntp0CTiT1durAuK+uCfb6leuiebw20a9cuOoWE\n0PvIEV4oLLQ7BH2+AuBZLy8WNW5Mclqa/pJJjbRnzx46d+5Mv379GD9+fK3Y2vLEiRO8+OKLvP/+\n+7z66qs89NBDZf7cSUlJvDZpEjlbt9LR05Mgs9m6UM8eSmY6fFNQwLX//CfPT5+uUTAnU/jWUPn5\n+Tw+YABZq1fznNlMb+xvF1ZIydSB50wmbu7Qgbc//FDDSlKjHThwgMjISHr06MHkyZMv6gBOT0/n\n4YcfpnXr1syYMaPCW3vm5uby3XffMWzgQHp06oSnpydNfX0JCg1l9+7d5ObmMm/evGqqXuxR+NZw\nSUlJDL7vPk4WFBDp5XXBt9t19euTXFTErUFBPDVhgr7dykXjjz/+oGvXroSGhvL666+fM/x6MTCb\nzYwbN47PP/+cN998kz59+lS6rd9++43g4GD27dt3zvsHDx7k+uuvZ+/evZiqYR0Bse/i+n9rLXTD\nDTdQWL8+azZvpsvbb7N74EC+7NqVL7t25ZeHHmLlJZcw58svSdmwQcErF5Urr7ySlJQUMjMzeeyx\nxyguLnZ1SQ6TnJxMQEAAR44cITs7u0rBC/Drr7/a3K6xSZMmhISEkJCQUKX2peLU863hRo8ejYeH\nB6+++uoFx8aOHcvvv//O3LlznV+YiJMcO3aM2NhY/va3vzF37lzq1avn6pIq7c8//2TUqFGsXLmS\nd999l+7duzuk3Xnz5rFkyRIWLFhg89hnn31GYmKiQ64l5aOebw124sQJPvroIx577LELju3atYv3\n33+fl19+2QWViTjPpZdeSlJSEkeOHKFv374UVnGRCVdJSEigTZs2eHl5kZ2d7bDghZKeb4sWLWwe\ni42N5bvvvuPQoUMOu56UTeFbg3355ZcEBgbaXH91zJgx/Pvf/+Yf//iHCyoTcS5vb2++/rpkdeO7\n7rqLgoKKzHJ1rfz8fO69915GjRrF/Pnzeeedd7j88ssdeg17w84Al112Gd27d2fhwoUOvaaUTuFb\ng82cOZPBgwdf8P7atWtZt24dI0eOdEFVIq5Rv359Pv/8cxo1akRUVBTHjh1zdUmlMgyD+fPnExAQ\ngK+vL1u2bKFdu3bVcq3Ser4A9913H/Pnz6+Wa4ttuudbQ2VnZ9OtWzd+/fVX6tb9/1VCLRYLt99+\nOyNHjiQuLs6FFYq4RnFxMYMHD2bbtm0sXbqUhg0burqkC+zZs4chQ4bw66+/Mnv2bNq2bVut12vV\nqhVff/01rVu3tnm8sLCQf/zjH2RmZpYa0uI46vnWUO+99x4DBw48J3gBPvnkE+rVq6cF6KXWqlOn\nDu+99x5BQUF06tSJP/74w9UlWRmGwfvvv09gYCBt27YlIyOj2oPXMAzy8vJKDVUvLy/+9a9/ER8f\nX621yP9Tz7cGOnbsGL6+vmRlZdG8efNz3m/VqhVffvkld9xxhwsrFHE9wzAYO3YsS5YsITk5maZN\nm7q0nh07djBw4EDMZjOzZ8+mTZs2TrnugQMHaNOmDfn5+aWe99133zF8+HC2bNnilLpqO/V8a6AF\nCxbQrl27c4IX4NVXXyUiIkLBKwJ4eHgwefJk7rnnHtq1a8eePXtcUkdxcTHTp08nODiYqKgo0tLS\nnBa8ALt37y7XUHJYWBiHDx9m69atTqhKtKVgDWMYBjNnzmTy5MnnvJ+Xl8eMGTPYvHmziyoTcT8e\nHh6MHz+eBg0a0K5dO1JSUkpd0zw3N5e1a9eyMT2dA3l5ADT19eXWkBDCw8NtziwoTU5ODo888gje\n3t6sW7euwp93hLIetjrD09OTuLg45s+frymKzmBIjbJ+/XrDz8/PKC4uPuf9fv36GRMmTHBRVSLu\nb8aMGcbVV19t/PzzzxccS0xMNDrcdpvR1Nvb6GcyGdPA+Oz0axoY/Uwmo6m3t9HhttuMxMTEMq91\n8uRJ4/nnnzeuuuoq4913373g76szvfrqq8aIESPKde6mTZuMFi1aGBaLpZqrEvV8a5h3332XQYMG\nnbOObXp6OmvWrOH99993YWUi7m3o0KE0aNCADh06sHz5cut90KH9+5O9Zg3Pm830ws4GJWYzhcDX\nGRmMuvdePo6IYMacOTY3KMnIyODhhx/m6quvZuPGjVx99dXV/JOV7tdff+X6668v17k333wzJpOJ\n9PR0QkNDq7myWs7V6S/ld/jwYeOKK64wDh48aH2vuLjYCA4ONj766CMXViZScyxYsMBo2rSpsWjR\nIsOvaVNjpJeXcRwMo5yv42CM9PIy/Jo2NXbu3Glt9/jx48bo0aONJk2aGPPmzXOb3mNUVJSxaNGi\ncp//4osvGkOHDq3GisQw1POtUT7++GO6d+9+zrft+Ph4iouLuf/++11YmUjNce+991JYWMj9vXox\nGRhWwQkf3sDUwkL88vPpFBLC+uxsfvzxRx599FECAwPJzs6mSZMm1VJ7ZZT3nu8ZcXFx3HHHHbz+\n+us1ep1sd6fwrSEMw+Ddd9/lvffes753/Phx/vOf/zB//vyLbjs1keqU+NlnDKxTh2GnTp3z/mqg\no43zrwAOn/fe4xYLO48coV3btvxVVMSMGTO46667qqfgSjIMo9SlJW259tpradmyJcnJyQ5dX1rO\npd/YNcTC2SDBAAAgAElEQVR3332Hp6cn4eHh1vemTZtGSEgIYWFhLqxMpGZJTEwke80aXj4veM/2\nFrDurFeynfNeLCzkxN69TJs2ze2CF+DIkSN4eHhwxRVXVOhz/fr149NPP62mqgS0yEaNce+993Ln\nnXcyfPhwAPbu3ctNN91EZmZmhb7VitR2Hdu2ZVBGBn1tHFtNSc83Gds9YFvigQ/atiVlwwYHVeg4\nmzZt4qGHHiIrK6tCnzt48CDXX389e/fuxWQyVVN1tZt6vjXAgQMHWL58OQ888ID1vWeeeYZBgwYp\neEUqYPv27WzLyaFXGedVpEfSG8jZupXc3NwqVFY9KjrkfEaTJk0ICQnRHr/VSOFbA3z44Yf861//\nsg4dZWRksHLlSsaOHeviykRqltTUVDp5etqeTnSW+yh5IOaq0//8WynnegEdPT1JTU11UJWOU9GH\nrc7Wr18/7XRUjRS+bq64uJj333/funWgYRj8+9//5oUXXuCyyy5zcXUiNcvG9HSCzGa7x68ARgGz\ngW+B8ZQMQYcApa2MHGQ2k5mW5sBKHaO8S0vactddd7FmzRq32pjiYqLwdXMrVqzgqquu4rbbbgNg\n4cKFmM1m+vfv79rCRGqgA3l5NC/l+C3Aq0AUEA48CSwDDlDyEJY9zU+37W6q0vO97LLL6NatGwsX\nLnRwVQIKX7c3c+ZMa6/3xIkTPP3007z22mvUqVPHxZWJ1A6BwPXAD64upBIqe8/3jPvuu09Dz9VE\n4evG8vLy+P77761787722msEBgYSERHh2sJEaqimvr5UZm+jsh7A2nO6bXdTlWFngG7durF161by\n3LBXX9MpfN3YrFmzuO+++zCZTOzfv59p06bx6quvuroskRrr1pAQMis4dSYD+AUILuWcTJOJIDdb\nC/nYsWMUFBTYXH+6vLy8vPjXv/5FfHy8AysTUPi6raKiImbNmsWgQYMAePbZZxkwYIBLtiQTuViE\nh4eTYrFQaOf4/cBzwCJgFTAN6EbJPd0n7HymEFhlsbjdYjdn7vd6eHhUqR0NPVcPha+bSkhIoGXL\nlvj7+7N582aSkpJ49tlnXV2WSI3WsmVLWvv787Wd422Ar4H+lITum0AfYD3Q2M5nvgJOFRezYMEC\n9uypzKB29ajKw1ZnCw8P59ChQ+Tk5DigKjlD4eum3n33XYYMGWKdWvTcc8/RsGFDV5clUuM9NWEC\nE00mCmwc+w+wBfiTkh7tr8C7QFM7bRUAz5lMPPvKK+zbt4+bbrqJ6OhoFi9ezKlSlq90hqre7z3D\n09OTuLg49X4dTOHrhrZv386WLVvo3bs3ixYt4o8//uDRRx91dVkiF4WYmBgC2rdnvFdZS22UbbyX\nFzdFRPDvf/+bmTNn8ttvv9GnTx/++9//4uvryzPPPMOOHTscUHXFOarnC/8/9KzViB1H4euG3nvv\nPQYMGADA6NGjmT59OnXragMqEUd5Z+5cvmrUiBlV2A1shqcnXzduzIw5c6zvmUwm+vfvT2pqKsnJ\nyZw4cYI77riDzp07Ex8fz8mTJx1RfrlUdZrR2W6++Wa8vb1JT093SHui8HU7J06c4KOPPmLQoEG8\n9dZb3HjjjURGRrq6LJGLio+PDynp6Uzz8WGUl5fNIWh7CoCRXl5Mb9KE5LQ0u08Tt27dmunTp7Nn\nzx4GDhzI7Nmzad68OU899RTbtm1zyM9RGkcNOwN4eHhouUkHU/i6mS+++IKgoCAuu+wyXnnlFaZO\nnerqkkQuSn5+fqzPziYvMpJAk4l4sPsUNKePxQOBJhN7unRhXVYWfn5+ZV6nfv369O3bl5UrV7J+\n/XpMJhORkZHceeedzJkzB3Mpy11WhSOHnQHi4uL4/PPPKSoqclibtZm2FHQzd955J6NHj2b58uXU\nr1+f119/3dUliVz0kpKSeG3SJHK2bqWjpydBZrN1Gco9lMzjXVVczMmiIqZ/8IH1tlBlnTp1iqVL\nlzJr1ixSU1O55557GDhwIEFBQVX+WaBkBK1hw4YcP37coavhhYSEMHHiRLp16+awNmsrha8bycrK\nokePHiQmJtK1a1d++uknGje2N8FBRBwtNzeX1NRUMtPSrGs1N/X1JSg0lLCwMN59910KCwt58803\nHXbNvXv3MnfuXGbNmkWjRo149NFH6devn3UXs8rYvn073bp1c/jDXm+99RYbNmzgk08+cWi7tZHC\n14lyc3NZu3YtG9PTz/mLfWtICOHh4UyfPp0mTZrw/fff07NnT4YPH+7iikXkbL///jutW7fmp59+\nomlTexOQKsdisZCSksKsWbNYvnw5sbGxDBw4kDvvvLPCC2WsXLmSyZMns2rVKofWeODAAVq1asW+\nffto0KCBQ9uubRS+TpCUlMT0559nW04OnewMaaWcHtLqP3w4y5YtIysri3r16rmybBGxYejQoVx+\n+eVMmTKl2q6Rn5/PJ598wgcffADAo48+yoMPPljupSJnzZrF999/z5yznsR2lG7dujFgwAD69u3r\n8LZrE4VvNcrPz2do//5kr1nD82YzvcDuJt6FlKys87SHB3633cYXS5ZUaU1WEakeu3fvJigoiNzc\nXBo1alSt1zIMg++//55Zs2axaNEiunTpwsCBA+nUqROepUyTGj9+PHXr1mXixIkOr+njjz9m4cKF\nJCQkOLzt2kRPO1eTnTt3EhwQQIvkZDaZzfTFfvBy+lhf4CfD4LYtWwgOCGDXrl3OKVZEyu2aa64h\nJiaGt94qbYdfx/Dw8CAsLIy5c+eye/duOnTowJgxY/jnP//Jiy++yN69e21+zpHTjM531113sWbN\nGv74449qab+2UPhWg/z8fDqHhjIyP5+phYV4V+Cz3sDUwkJG5ufTKSSE/Pz86ipTRCpp7NixvPXW\nWxw7dsxp17ziiisYMmQIGzduZOHChezdu5eAgABiYmJISEg4ZzlLR08zOtvll19Ot27d+PLLL6ul\n/dpC4VsNhvbvT+/Dh3ncYjnn/YXAXYAv0AC4AXgGsPXX93GLhd5HjvB4Fac0iIjjtWrVig4dOvDu\nu++65PpBQUHW5Sz/9a9/8corr9CiRQvGjRvHzp07Hbq6lS39+vXj008/rbb2awPd83WwxMRERsfF\nsdls5pLzjoVQsjVZr9N/bqJk+7IbgDTg/OcZCyiZ0D81Pp7o6OjqLVxEKmTz5s306NGDnTt3cskl\n5/9td76cnBxmz57Nxx9/zOHDh/nkk0/o06cP9evXd/i1Tp48yT/+8Q8WLVpEbm6u3Rkc2gLVPoWv\ng3Vs25ZBGRnYeg7wD+DK8977BHgISAE62PhMPPBB27akbNjg2EJFpMqio6Pp0aMHQ4cOdXUpVj//\n/DOhoaEEBgaSlZXF/fffz6OPPkrr1q0ddo2kpCSeGDCAv44epauXl+0ZHBYLrf39GTFxojoPthji\nML/88ovR1NvbOAmGUc7XNjA8wJhn5/hJMJp6exvbt2939Y8nIudJS0szWrRoYRQWFrq6FKvVq1cb\nd955p2EYhrFjxw7jmWeeMf7+978boaGhxpw5c4xjx45Vuu2DBw8afXr0MFqZTEb86d9P9n63nQQj\nHoxWJpNxd1SUcfDgQUf9iBcF3fN1oNTUVDp5epb6VPP51pz+80Y7x72Ajp6epKamVq04EXG4kJAQ\nrr32Wre6/3n2/d5rr72Wl156iby8PMaMGcOXX37J1VdfzZAhQ8jMzKxQu5WdwbHJbMZ35UrN4DiP\nwteBNqanE1SBRdL3AhOASODWUs4LMpvJTEurYnUiUh3GjRvH5MmTKS4udnUpgO1pRnXr1qVnz54k\nJiaSnZ1Ns2bN6NOnD7feeiszZ87k6NGjpbapGRyOp/B1oAN5edb7HmU5BsRS8u2wrDVomp9uW0Tc\nT8eOHWnUqJHbTL0pa5pRs2bNePbZZ9mxYwevvPIK3377Lddcc411H2LDxmNA9mZwAKylpAPRBLgc\nCML27zTN4DiXwtcFCoAYYDewHPiHS6sRkarw8PBg3LhxvPzyyzaDy9nKO83I09OTyMhIPv/8c375\n5RcCAgJ49NFH8ff3Z/r06dYeamJiItlr1vCija0EN1ESvBZgNiWr9LUFHgFsTcJ6obCQrNWrSUpK\nquyPd9FQ+DpQU19f9pRxThHQB9gILAX8y9HuntNti4h7io6OxjAMlixZ4upSKrXAho+PDyNHjuTH\nH3/k/fffZ8uWLVx33XX07duX50eN4nkbUycBPj/9ZyIlHYpOlITuHcDHNs73Bp4zm3lt0qQK1Xcx\nUvg60K0hIWSaTHaPW4D7gNXAIuD2crabaTIRFBpa5fpEpHp4eHjwzDPP8NJLL7m092uxWPjtt9/w\nreSX9TPLWX700Ufs3r2bG2+8kR3bt9PLzvnFQD244B7w5YC9/xV6Azlbt5Kbm1upGi8WCl8HCg8P\nJ8ViodDO8ccpWeVqBCX/Z1131sv2Cq0lGy6sslgICwtzdLki4kB9+vTh8OHDfPvtty6rYf/+/TRs\n2BBv74o8EmXbFVdcQYsWLejRoIHdp5ofAeoATwC/A38CHwCrgKfsfEYzOEoofB2oZcuWtPb352s7\nx5dRsorVS0Doea/Zdj7zFeDfpo1WihFxc3Xq1OE///kPL730kstqcPSykmXN4GhFyXMrXwDNgMbA\nMOA94J5S2tUMDoWvwz01YQITTSYKbBzbRckwjcXGa4KN8wuA50wmnppg66iIuJv777+f3Nxc1q1b\n55LrO3o3o7JmcGwFooFAIImSlfoGA4OA+aV8TjM4FL4OFxMTQ0D79oz3qshSG7aN9/LipogILc0m\nUkPUq1ePp59+2mW93+rczciW8cAVlDxw1YOSJXLfoKTX+6TTqqiZFL7V4J25c/mqUSNmlLLZdVlm\neHrydePGzJhT1ixgEXEnDz/8MBkZGWzZssXp13b0sHNZMzi2ATcBdc97vy0la9kftPM5zeBQ+FYL\nHx8fUtLTmebjwygvL5tD0PYUACO9vJjepAnJaWn4+PhUV5kiUg28vb0ZMWIEkydPdvq1Hd3zLWsG\nR3NgCyVTKM+2npKHShvb+ZxmcCh8q42fnx/rs7PJi4wk0GQiHuw+Bc3pY/GUbCG4p0sX1mVl4efn\n55xiRcShBg8eTEpKCr/88otTr+voe75lzeB4AthJyRzfBGAFJQ9cxQNDuLBHDJrBcYa2FHSCpKQk\nXps0iZytW+no6Wlz+61VFgv+bdrw1IQJuscrchF4/vnn+fXXX/nwww+dcj3DMLj00kv5/fffufzy\nyx3WbmnbpAKsBCZT8vDVCaAl8Njpl63enbZJLaHwdaLc3FxSU1PJTEs7Z+PpoNBQwsLCNJ1I5CJy\n+PBhrrvuOjZu3OiUh6AOHTrE9ddfz+HDhx3abmJiIqPj4thkNldoQwVbCigZ3ZsaH1/rOxkKXxGR\najJmzBjMZjNvv/12tV8rIyODgQMHsmnTJoe3fXdUFC2Sk5laWNrNs7KN8vIiLzKSz7W2s+75iohU\nlxEjRjB//nz2799f7deqzmlGmsHheApfEZFq0rRpU+677z6mT59e7ddy9DSjs509g+MJDw/N4HAA\nha+ISDUaPXo0s2fPdvi92PNV9wIbfn5+9HnwQRY1bqwZHA6g8BURqUa+vr7cddddvPnmm9V6HUdP\nMzrf999/z8cff8y6rCymxsfzQdu2+Hp7089kYhrw2enXNKCfyYSvtzcftG3L1Ph4PktMVI/3PHrg\nSkSkmm3fvp3Q0FB27tzJZZddVi3XuOWWW5g9ezZBQUEOb/vo0aPccsstvPHGG/Ts2dP6vmZwVJ7C\nV0TECeLi4ggMDOTpp5+ulvYbNWpEbm4uV155pUPbNQyDfv360bhxY2bMmOHQtmszha+IiBNkZ2fT\npUsXdu7c6ZD9ds929OhRmjVrxv/+9z88PDwc2vbHH3/MK6+8QkZGhsPrrs10z1dExAkCAgK4/fbb\nmT3b3u7dlXfmYStHB29ubi4jR45kwYIFCl4HU/iKiDjJuHHj+O9//0thFRerOF91TDMqKiqiX79+\njB8/nptuusmhbYvCV0TEaW6//Xauv/565s2b59B2q2Oa0XPPPcdVV13F8OHDHdqulFD4iog40bhx\n45gyZQrFxcUOa9PR04xWr17NnDlzmDt3rsOHsqWEwldExInat2+Pj48PX3zxhcPadGTP9/Dhwzzw\nwAN8+OGHNGnSxCFtyoUUviIiTuTh4cG4ceN4+eWXsVgsDmnTUfd8DcNg4MCB9OnTh27dulW9MLFL\n4Ssi4mTdu3enbt26JDlodx9HDTvPmjWLHTt2MGXKFAdUJaXRPF8RERdYuHAh//3vf1m3bl2V7qse\nP36cxo0bc/z4cTyrsOvQTz/9RFhYGN999x2tW7eudDtSPur5ioi4QO/evfnrr79ISUmpUjt5eXn4\n+vpWKXhPnjxJv379eOmllxS8TqLwFRFxAU9PT8aOHctLL71UpXYc8bDVuHHjaNGiBY899liV2pHy\nU/iKiLhIXFwcu3fvJi0trdJtVPV+74oVK4iPj2fWrFmaVuRECl8RERepV68eY8aMqVLvtyo934MH\nDzJgwAA++ugjh2/IIKVT+IqIuFD//v3ZvHkzmzZtqtTnKzvNyDAMHnnkER544AE6depUqWtL5Sl8\nRURc6JJLLmHkyJG8/PLLlfp8ZYed33nnHfbv38+kSZMqdV2pGk01EhFxMbPZjJ+fH2vWrOHGG2+s\n0GebN2/O999/X6EA3rp1Kx06dCAtLY3rrruuouWKA6jnKyLiYiaTiSeeeKLCi1sUFhaSn59Ps2bN\nyv2ZgoIC4uLi+O9//6vgdSH1fEVE3MCff/7JP//5TzIyMvDz8yvXZ3bu3EnHjh3ZvXt3ua8zfPhw\nDh48SHx8vJ5udiH1fEVE3MAVV1zBoEGDePXVV8v9mYre701KSiIhIYF3331XwetiCl8RETfx1FNP\n8dlnn7Fv375ynV+RaUa///47AwcOZN68eTRq1KgqZYoDKHxFRNyEj48PDz74INOmTSvX+eWdZmSx\nWOjfvz+PPfYY4eHhVaxSHEHhKyLiRkaNGsWcOXM4dOhQmeeWd9j59ddf53//+x/jx493RIniAApf\nERE30rx5c/r06cMbb7xR5rnlGXbetGkTU6ZM4dNPP6Vu3bqOKlOqSOErIuJmxowZw8yZMzl69Gip\n55U17Gw2m4mLi+P1118v9xPU4hyaaiQi4obuv/9+/P39GTt2rM3jxcXFNGjQgL/++ov69evbPOex\nxx7jxIkTfPzxx9VZqlSCwldExA3l5OTQqVMndu7cSYMGDS44/ttvvxEcHGz3yeivvvqK0aNHs2nT\nJi6//PLqLlcqSMPOIiJuyN/fn9DQUD744AObx0u737tnzx6GDBnC/PnzFbxuSj1fERE3lZmZyV13\n3UVubi6//fYba9euZWN6Ogfy8ti3bx9HzGZGPfss4eHhtGzZEigZju7cuTORkZE888wzLv4JxB6F\nr4iIG7v11lspOnyY/IMH6eTpSZDZTPPTx/YAmSYTKRYLrf39GTFxItnZ2SxfvpyUlBTq1KnjytKl\nFApfERE3lJ+fz9D+/dm8ahUvnjhBL8DLzrmFwNfA+Esu4aDFwur167nlllucV6xUmMJXRMTN7Ny5\nk86hofQ+coQXCgvxLufnCoBxdeuy6MorSUlP1/QiN6bwFRFxI/n5+QQHBDAyP5/HLZZKtTHD05Np\nPj6sz87Gx8fHwRWKI+hpZxERNzK0f396Hz58QfBGUPIL29ar+3ltPG6x0PvIER4fMKD6C5ZKUfiK\niLiJxMREstes4cWioguOzQTWnfeafvpYrI22XigsJGv1apKSkqqrXKkCDTuLiLiJjm3bMigjg77l\nPP8RYD7wO3CFjePxwAdt25KyYYOjShQHUc9XRMQNbN++nW05OfQq5/nHgS+AGGwHL0BvIGfrVnJz\ncx1RojiQwldExA2kpqbSydPT7nSi830NHAMeKuUcL6CjpyepqalVrk8cS+ErIuIGNqanE2Q2l/v8\nj4GmXPiw1fmCzGYy09KqUppUA4WviIgbOJCXZ125qiz7gBTgPsr+Jd78dNviXhS+IiI1zDzAQulD\nzuLeFL4iIm6gqa8ve8p57kfALUBAOc7dc7ptcS8KXxERN3BrSAiZJlOZ52UAP1L+Xm+myURQaGhV\nSpNqoPAVEXED4eHhpFgsFJZx3sdAXUru95alEFhlsRAWFlbl+sSxFL4iIm6gZcuWtPb35+tSzimi\nZOGM7sBV5WjzK8C/TRvrXr/iPhS+IiJuoKioiBZt2jCakt2JbKkHHAQWl6O9AuA5k4mnJkxwVIni\nQApfEREXS0tLIygoiH379hEQEcF4r/IutWHfeC8vboqIIDo62gEViqPVdXUBIiK11eHDhxk7dixJ\nSUlMnz6de+65h0OHDhEcEIBfFbcU/LpxY9bNmePgisVR1PMVEXEywzCYN28e/v7+1KtXj23bttG3\nb188PDzw8fEhJT2daT4+jPLysjsEbUsBMNLLi+lNmpCclqa9fN2YwldExIl++eUXOnfuzLRp01i8\neDFvv/02DRs2POccPz8/1mdnkxcZSaDJRDyU+hR0ISUPYgWaTOzp0oV1WVn4+flV408hVaUtBUVE\nnODEiRNMmTKFt99+m2effZZhw4ZRt27Zd/6SkpJ4bdIkcrZupaOnJ0Fms3UZyj2UzONdZbHg36YN\nT02YoHu8NYTCV0SkmqWkpDBkyBACAgJ44403aN68vKs4/7/c3FxSU1PJTEuzrtXc1NeXoNBQwsLC\nNJ2ohlH4iohUkwMHDjBy5EhSU1N5++231SsVK93zFRFxMIvFwvvvv09AQADNmjUjJydHwSvn0FQj\nEREHysrKYvDgwUDJcHNAQHm2P5DaRj1fEREHMJvNPP3003Tu3JkBAwaQmpqq4BW7FL4iIlWUmJiI\nv78/v//+O1u3bmXgwIF4eurXq9inYWcRkUr67bffePLJJ9m6dSuzZ8+mU6dOri5Jagh9NRMRqaBT\np07x2muvERgYyM0330xWVpaCVypEPV8RkQrYsGEDgwYN4sorryQtLY3rr7/e1SVJDaSer4hIORw9\nepTHH3+c2NhYRo0axcqVKxW8UmkKXxGRUhiGQXx8PK1bt6a4uJht27Zx33334eHh4erSpAbTsLOI\niB07duxg6NCh/P777yxcuJCQkBBXlyQXCfV8RUTOc/LkSV588UWCg4OJjIwkMzNTwSsOpZ6viMhZ\n1qxZw+DBg7nuuuvIzMykRYsWri5JLkIKXxER4NChQ4waNYpVq1bx5ptvEhsbq/u6Um007CwitZrF\nYuHDDz/E39+fxo0bk5OTw1133aXglWqlnq+I1Fo5OTkMHjyYwsJCli1bRmBgoKtLklpCPV8RqXWO\nHz/O2LFjiYiIIC4ujrS0NAWvOJXCV0RqlW+++YY2bdqwe/dusrKyGDp0KHXq1HF1WVLLaNhZRGqF\nffv28eSTT7Jp0yZmzpxJ165dXV2S1GLq+YrIRa24uJi33nqLm2++mRtuuIHs7GwFr7icer4ictHK\nzMxk0KBBXHrppXz33XfceOONri5JBFDPV0QuQn/99RdPPvkkUVFRDB8+nG+//VbBK25F4SsiFw3D\nMFi4cCGtW7fm2LFj5OTk8NBDD2nOrrgdDTuLyEVh165dDBs2jN27d7NgwQLCw8NdXZKIXer5ikiN\nVlRUxJQpU2jbti1hYWFs2rRJwStuTz1fEamxUlNTGTx4ML6+vmzYsIFrr73W1SWJlIvCV0RqnD/+\n+IMxY8awbNkyXnvtNfr06aP7ulKjaNhZRGoMwzD4+OOP8ff3p0GDBmzbto27775bwSs1jnq+IlIj\n/PTTTwwZMoS//vqLpKQkbrvtNleXJFJp6vmKiFsrKChgwoQJhIWF0atXLzZs2KDglRpPPV8RcVsr\nV65kyJAh3HLLLWzZsoVmzZq5uiQRh1D4iojb2b9/PyNGjCA9PZ23336bqKgoV5ck4lAadhYRt2Gx\nWJg5cyYBAQH4+vqSk5Oj4JWLknq+IuIWNm/ezODBg6lbty7ffvstbdq0cXVJItVG4SsiFZKbm8va\ntWvZmJ7Ogbw8AJr6+nJrSAjh4eG0bNmyQu0dO3aMiRMn8sknn/Dyyy/z8MMP4+mpQTm5uHkYhmG4\nuggRcX9JSUlMf/55tuXk0MnTkyCzmeanj+0BMk0mUiwWWvv7M2LiRKKjo8tsc9GiRTzxxBN06NCB\nqVOn4uPjU60/g4i7UPiKSKny8/MZ2r8/2WvW8LzZTC/Ay865hcDXwESTiZsiIpgxZ47NQM3Ly2P4\n8OH8/PPPzJw5kw4dOlTjTyDifjS2IyJ27dy5k+CAAFokJ7PJbKYv9oOX08f6ApvMZnxXriQ4IIBd\nu3ZZjxcVFTF16lRuvfVWbrvtNrZs2aLglVpJPV8RsSk/P5/ggABG5ufzuMVSqTZmeHoyzceH9dnZ\n7Nixg0GDBtGkSRPeeecdrrvuOgdXLFJzKHxFxKa7o6JosXIlU4uKLjj2LTAe2Ah4A1HAVKCJjXZG\n1qvH0r//naNFRUybNo17771XazFLrafwFZELJCYmMjoujs1mM5ecd2wt0BHoAQwBDgHPApcBmVw4\nLF0A+Nety8uffMK9995bzZWL1AwKXxG5QMe2bRmUkUFfG8c6A3nAT/z/QyOZQFtgBiWBfL544IO2\nbUnZsKE6yhWpcfTAlYicY/v27WzLyaGXnePrgEjO/eURBFxJyZPOtvQGcrZuJTc313GFitRgCl8R\nOUdqaiqdPD3tPtVcF9tPPHsBOXY+4wV09PQkNTXVESWK1HgKXxE5x8b0dILMZrvHWwHp5733K/A7\ncLiUdoPMZjLT0qpeoMhFQOErIuc4kJdnXbnKlieBDZQ87XyQknu/DwB1KP0XSvPTbYuI1nYWkQrq\nR0ngTgVeAjyAe4FG2B92FpFzqecrIudo6uvLnjLOmQT8AWQD+4FPgV+AsFI+s+d02yKi8BWR89wa\nEsnpELgAAALsSURBVEKmyVTmed6AP+ADfAP8DAwu5fxMk4mg0FCH1ChS02nYWUTOER4ezliLhUJs\nP9W8GVgK3Hr631MpGYIeA9xhp81CYJXFwqSw0vrGIrWHer4ico6WLVvS2t/f7pxdL0p6unGUzN9d\nBrwHTC6lza8A/zZtKrzXr8jFSitcicgFziwvuclsxruKbRUAgSYTU+Pjy7XHr0htoPAVEZvujoqi\nRXIyUwsLq9TOKC8v8iIj+TwpyUGVidR8Cl8RsclRWwpOb9KEdVlZ+Pj4OLhCkZpL93xFxCYfHx9S\n0tOZ5uPDKC8vCirw2QJgpJcX05s0ITktTcErch6Fr4jY5efnx/rsbPIiIwk0mYin5Mllewop2cEo\n0GRiT5curMvKws/PzznFitQgGnYWkXJJSkritUmTyNm6lY6engSZzdZlKPdQMo93lcWCf5s2PDVh\ngh6uEimFwldEKiQ3N5fU1FQy09KsazU39fUlKDSUsLAwTScSKQeFr4iIiJPpnq+IiIiTKXxFRESc\nTOErIiLiZApfERERJ1P4ioiIOJnCV0RExMkUviIiIk6m8BUREXEyha+IiIiTKXxFREScTOErIiLi\nZApfERERJ1P4ioiIOJnCV0RExMkUviIiIk6m8BUREXEyha+IiIiTKXxFREScTOErIiLiZApfERER\nJ1P4ioiIOJnCV0RExMkUviIiIk6m8BUREXEyha+IiIiTKXxFREScTOErIiLiZApfERERJ1P4ioiI\nOJnCV0RExMkUviIiIk6m8BUREXEyha+IiIiTKXxFREScTOErIiLiZApfERERJ1P4ioiIOJnCV0RE\nxMkUviIiIk6m8BUREXEyha+IiIiTKXxFREScTOErIiLiZApfERERJ1P4ioiIOJnCV0RExMkUviIi\nIk6m8BUREXEyha+IiIiTKXxFREScTOErIiLiZApfERERJ1P4ioiIOJnCV0RExMkUviIi8n8bBXQG\no5XvKBgFo2AUjIJRQGcAAJwtc0/WlAbOAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = nx.Graph()\n", "g.add_edges_from([(1,2), (1,3), (1,4), (2,3), (3,4), (4,5), (4,6), (5,6), (5,7), (5,8), (6,7), (6,8), (7,8), (7,9)])\n", "nx.draw(g, node_size=500, with_labels=True, font_size=16)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{1: 3, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4, 7: 4, 8: 3, 9: 1}\n", "[1, 2, 3, 3, 3, 4, 4, 4, 4]\n" ] } ], "source": [ "print g.degree()\n", "print sorted(g.degree().values())" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "3" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.degree(1)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{1: 3, 2: 2, 3: 3}" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.degree([1, 2, 3])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### - Connected Components" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1, 2, 3, 4, 5, 6, 7, 8, 9]\n", "[100]\n" ] } ], "source": [ "g.add_node(100)\n", "for components in nx.connected_components(g):\n", " print components" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": true }, "outputs": [], "source": [ "g.remove_node(100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### - Clustering Coefficients" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{1: 0.6666666666666666,\n", " 2: 1.0,\n", " 3: 0.6666666666666666,\n", " 4: 0.3333333333333333,\n", " 5: 0.6666666666666666,\n", " 6: 0.6666666666666666,\n", " 7: 0.5,\n", " 8: 1.0,\n", " 9: 0.0}" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.clustering(g)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### - Shortest Path vs. Dijkstra Path " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- The shortest path between two nodes" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFBCAYAAAA2bKVrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIZRMAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nx.draw(g, node_size=500, with_labels=True, font_size=16)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[1, 4, 5, 7, 9]" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import networkx.algorithms as algo\n", "algo.shortest_path(g,1,9)" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[1, 4, 5, 7, 9], [1, 4, 6, 7, 9]]\n" ] } ], "source": [ "print ([p for p in algo.all_shortest_paths(g,1,9)])" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "2.111111111111111" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "algo.average_shortest_path_length(g)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{1: 1, 2: 0, 3: 1, 4: 2, 5: 3, 6: 3, 7: 4, 8: 4, 9: 5}" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "algo.all_pairs_shortest_path(g)\n", "algo.all_pairs_shortest_path_length(g)\n", "algo.all_pairs_shortest_path_length(g)[2]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Get node pairs\n" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[(1, 2),\n", " (1, 3),\n", " (1, 4),\n", " (1, 5),\n", " (1, 6),\n", " (1, 7),\n", " (1, 8),\n", " (1, 9),\n", " (2, 3),\n", " (2, 4),\n", " (2, 5),\n", " (2, 6),\n", " (2, 7),\n", " (2, 8),\n", " (2, 9),\n", " (3, 4),\n", " (3, 5),\n", " (3, 6),\n", " (3, 7),\n", " (3, 8),\n", " (3, 9),\n", " (4, 5),\n", " (4, 6),\n", " (4, 7),\n", " (4, 8),\n", " (4, 9),\n", " (5, 6),\n", " (5, 7),\n", " (5, 8),\n", " (5, 9),\n", " (6, 7),\n", " (6, 8),\n", " (6, 9),\n", " (7, 8),\n", " (7, 9),\n", " (8, 9)]" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import itertools\n", "list(itertools.combinations(g.nodes(), 2))" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[1, 2, 3, 4, 5]" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nn = g.nodes()\n", "nn[:5]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Compare the two paths" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1, 2] [1, 2]\n", "[1, 3] [1, 3]\n", "[1, 4] [1, 4]\n", "[1, 4, 5] [1, 4, 5]\n", "[1, 4, 6] [1, 4, 6]\n", "[2, 3] [2, 3]\n", "[2, 1, 4] [2, 1, 4]\n", "[2, 1, 4, 5] [2, 1, 4, 5]\n", "[2, 1, 4, 6] [2, 1, 4, 6]\n", "[3, 4] [3, 4]\n", "[3, 4, 5] [3, 4, 5]\n", "[3, 4, 6] [3, 4, 6]\n", "[4, 5] [4, 5]\n", "[4, 6] [4, 6]\n", "[5, 6] [5, 6]\n" ] } ], "source": [ "for pair in itertools.combinations(nn[:6], 2):\n", " print algo.shortest_path(g, *pair), algo.dijkstra_path(g, *pair)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Get weighted graph\n" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[(1, 2, 64),\n", " (1, 3, 56),\n", " (1, 4, 64),\n", " (2, 3, 4),\n", " (3, 4, 41),\n", " (4, 5, 17),\n", " (4, 6, 88),\n", " (5, 8, 40),\n", " (5, 6, 77),\n", " (5, 7, 72),\n", " (6, 8, 47),\n", " (6, 7, 28),\n", " (7, 8, 5),\n", " (7, 9, 8)]" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from random import choice\n", "ee = g.edges()\n", "new_edges = [x + (choice(range(100)),) for x in ee]\n", "new_edges\n" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": true }, "outputs": [], "source": [ "g.clear()\n", "g.add_weighted_edges_from(new_edges)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Compare the two paths\n" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1, 2] [1, 3, 2]\n", "[1, 3] [1, 3]\n", "[1, 4] [1, 4]\n", "[1, 4, 5] [1, 4, 5]\n", "[1, 4, 6] [1, 4, 6]\n", "[2, 3] [2, 3]\n", "[2, 1, 4] [2, 3, 4]\n", "[2, 1, 4, 5] [2, 3, 4, 5]\n", "[2, 1, 4, 6] [2, 3, 4, 6]\n", "[3, 4] [3, 4]\n", "[3, 4, 5] [3, 4, 5]\n", "[3, 4, 6] [3, 4, 6]\n", "[4, 5] [4, 5]\n", "[4, 6] [4, 6]\n", "[5, 6] [5, 8, 7, 6]\n" ] } ], "source": [ "for pair in itertools.combinations(nn[:6], 2):\n", " print algo.shortest_path(g, *pair), algo.dijkstra_path(g, *pair)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 0 }