This ipython notebook visualizes the NYC Citybike network using Matplotlib. Edges are created to build a network; edge capacities are assigned based on max bikes at each station. Max flow is calculated using the FordFulkerson algorithm. Min cost edges that sever the source from the destination are identified. Cool.

MaxFlow

{
 "metadata": {
  "name": "MaxFlow"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": "Finding the Max Flow on the NYC Citybike Network"
    },
    {
     "cell_type": "heading",
     "level": 4,
     "metadata": {},
     "source": "Scroll down to see in-line plots of overall network, flow network, max flow path, and printout of flow/capacity of each edge in path."
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "%load_ext autoreload\n%autoreload 2\n%pylab --no-import-all inline",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": "The autoreload extension is already loaded. To reload it, use:\n  %reload_ext autoreload\nPopulating the interactive namespace from numpy and matplotlib"
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": "\n"
      }
     ],
     "prompt_number": 160
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "import json\nimport matplotlib.pyplot as plt\nimport numpy as np\nimport random\nimport MaxFlowUtils\nfrom MaxFlowLib import FlowEdge, FlowNetwork\nfrom FordFulkerson import FF\nfrom MaxFlowUtils import _DISTANCE",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 161
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "import json\nwith open(\"citybike.json\") as f:\n    input = json.load(f)",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "num_stations = len(input[\"stationBeanList\"])\nstations = np.random.random((num_stations, 2))  # 2 cols for latitude, longitude\ntotalDocks = np.zeros((num_stations,), dtype=np.uint8)\nnames = {}  # maps vertex number to stationName\nvertex = {} # maps stationName to vertex number",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 163
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "import collections\nimport copy",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 164
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "# store data\nrow = 0\nfor station in input[\"stationBeanList\"]:\n\t# store data in numpy arrays\n    totalDocks[row] = station[\"totalDocks\"]\n    stations[row][0] = station[\"latitude\"]\n    stations[row][1] = station[\"longitude\"]\n    vertex[station[\"stationName\"]] = row\n    names[row] = station[\"stationName\"]\n    row += 1",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 165
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "# strategy:\nstart_station = \"Broadway & Battery Pl\"\nend_station = \"E 47 St & 1 Ave\"\n# build a digraph from start to end\nsource = vertex[start_station]\ntarget = vertex[end_station]",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 166
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "def findFlowEdges(stations, totalDocks, s, t):\n\t'''return flow edges, given s and t\n\n\tstations = numpy array; column 0: latitude  column 1: longitude  \n\tcapacities[row] = capacity of vertex=row  \n\ts = source vertex  t = target vertex\n\t'''\n\tflow_edges = collections.deque()\n\n\tnum_stations = len(stations)\n\tmarked_v = [False] * num_stations # marks all from vertices\n\tmarked_w = [False] * num_stations # marks all to vertices\n\tq = collections.deque()\n\tq.append(s)\n\t\n\twhile len(q) > 0:\n\t\t# q not empty\n\t\tv = q.popleft()\n\t\tmarked_v[v] = True\n\t\tvlat = stations[v][0]\n\t\tvlong = stations[v][1]\n\t\tfor w in range(num_stations):\n\t\t\tif not marked_v[w]:\n\t\t\t\twlat = stations[w][0]\n\t\t\t\twlong = stations[w][1]\n\t\t\t\td = MaxFlowUtils.distance(vlat, vlong, wlat, wlong)\n\t\t\t\tif d < _DISTANCE:\n\t\t\t\t\tcapacity = totalDocks[v] + totalDocks[w]\n\t\t\t\t\tflow_edges.append(FlowEdge(v, w, capacity))\n\t\t\t\t\tif not marked_w[w]:\n\t\t\t\t\t\t# w has not been put on queue\n\t\t\t\t\t\tmarked_w[w] = True\n\t\t\t\t\t\tq.append(w)\n\treturn flow_edges",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 167
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "flow_edges = findFlowEdges(stations, totalDocks, s, t)",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 232
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "len(flow_edges)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 233,
       "text": "617"
      }
     ],
     "prompt_number": 233
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "flownet = FlowNetwork(V=num_stations)",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 234
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "for e in flow_edges:\n\tflownet.addEdge(e)",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 235
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "maxflow = FF(flownet, s, t)",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 236
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": "Network of Citibike Stations in NYC"
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "MaxFlowUtils.drawScatterPlot(stations, flow_edges, source, target)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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37y/yelZWFnbs2IFz584Vm1adOnXg7++PM2fOwNPTE46OjrK1Hzdv3sTu3bsBSOcifv/9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Q/4PPYxykW87IkTmOTMJTVmoWoFfK9584zD3tt9Ojr6vpDqKFmVDXoroGiWPLcX0Ew2JMiVGE1g\noN5q2FwJCZKdnSE816+/lWsmo/4cJkCOXJMd8RrJSJ3HPZ0AqlrV2JoLDTXOqFaulMxuR6+8YhhI\n3E6NGtKiRemfN2aMEY4mOdkwMBhUv5UiKSJvTghMWs9TDzTTDgsJ0TjelANXlJ/jKs0u7aVEuvqW\nLpUaNMi4ju5V+6kQR2VDkg4QcM/J1ebNRqidnMQIunpJg2q0zPQKr3596S7RkyRJ3av2VUn2qA1z\ndBpvy4omK/XlaG2PGY+LopH+PQoju5QuXVrbMmmKYxbunpzVV7wsD85pAc3T/GBHBgcrHjtV5G+V\nYavqsOqe4e5r1zijpqUmakSdusqfd7+Gv7E1U20ZGRysSIrIgzOyJllLb6YoNj/Hw8OYcY8ZIw0Y\ncO/+mED7Ka5X+EquxKpyoXk6csQosyY8XIVct6te4a/l7nRcy+dGaPlyIzilZBzCFyp0S9CdPGnE\nbrsz4rFkKJiK5c6rTuB3siJZnfP6qBdTlJcLcuKynLmsL+ipEXUyHqvMjMkSGsmKJIFJv9M0w5n7\nggXGijLDMandSK/ymaxIUW6uqQdfagsVM/z85s41rNxyCvPEzo8oHadgpld4rVoZ25J3EhcnDRli\nJJVr7d0307Hz/s1YFE0WeJwUzZNMQkKCHBwcFJfJTXazIPDkrM7iqQ1UVR6bM+r14h6t/t04L+nm\n4qIqTFQt5ioJa9VnuUYxIsPZ45kzhsHAlSvG6z//NA7Jr1+/f1terN5LvpzSZ7ymcJoqPycVhV/q\nc8qVk7ZuNbJl3i07dUYr1r7+1dWl/SG5u0v165zUi34tFMJi+XBKiwnRsMBAfTR6verXv1XP4sWS\nj9d1DarfSk2KTlTZ2yIz3/m8vv415cUZWZOkAqxTC+bJjRh9wwsqzj6VZYdK+6xMHZPMEhMjlfVd\nqsIcUQiL5MANeRKtUYzQsJAmacrOni21b5++ju3bDQOK9vysWFx1Gh+NZpgKcUz58+7XtGm3trTW\nhIcrpMQUVc4/N8esuMyKvzCR2kGZTK88unaVZsxIe23dOqlECaOfZ88++RNGMzktOy2RASw8MAcP\nHsTf3x+H27zz74XZS3ti21x8+FRNHPLGM73jHoa+W4V1v+xi49VV/E4L1tKSNlRiHSZm8RzFbbYz\ntm7jdPV99x20awfOzsbrp5+GGjVgwgQYMeLu7Vi8GH7b9zENvAfQ6+yXALzOJ1TJtYQZr0QB4OsL\nUVGwYcPdPcIziq7Qvm9f6jQrypUr0LZKBEtOfs5pfHHiOjfITYfIPIz5dTHWHtVT63FMjsA77gbX\nV4YQR0neYyJL+u9JfcaVK7B/P0x4cy8lj7fEjjhM2FCRHZjYQDXseJFvmUw/Ar2/IqHcUKpUMdpd\ntuy9PxMJfv4ZBgyAp6sUpcjuVmw6OpkmLKIQUUxzaIbP+T4MOA+ensY9cXHg6HirDpMJPvkExo+H\nV3pcgvlDcTtyEYAwxnI14Bfcnvsf8+bB4MEQXPMY7tunUPFkMHnZxLDTSwm76UH/IBEzzN7+5/Hk\nBAUpx27g3lET1kZEsHe1idgNkRz8fhHBPQewZF0T/vc/mDwZOnQwynnlQDSP/yQ5qrYeM57w7j02\n/PDDD2qf0dT2Pnh6Kk3gwkH1W6k5C1SCPXLmYqq3eydXVw0PDdX7ozbKz8/IfWImJcUIlb9hQ9q6\njx41DspPnsz42d9+axgT/PVX2llqWEioGjeIUrt2Rt0vvGBsmzz1VJa7l8rI4GAlYCdHrgpMcuec\n/Nkla27I2ipJPs4HFVzztKoXnq0JvC5nYmVDvCbRW/2YqCLum+XnZxxuV6wolfZcripslDvnlIt4\neXJW3hxVLadOGhkcrLblR6t0iQsymYwZuoeH0d+7cfKk1LKlVKqUMYOXjDHJkytW3coNUB77GC2Z\ns1BvvWWYaP/5p/F+k5ITVcl3vsJCQvTLd8tVv75hdn37duHdZv9RUVKtgFnKz0nlIk7tmZ1jZx5h\nISGKw14O3FAitvet17wiHcJ4jeNN/UlNudlFqn7tUzp37oGa8q8lp2XnEy2JLYrm0TBs2DCNHDky\ny/fdqWhGBgdrI5VlRbIgRc/yP62mTpqzhkGDjHMBsyHA8uXG9lZGAaOHDjVSK9+OySSNHm2k1t23\nL+N2xccb1lTPdz6gmkV+UOF8W1S98Oxsb5OYt3I2UkX+RCov52THNY1iuIJZqQ1UVQO391Qwzyr5\nESUwCUwqx3a9xzA9W2aIjhwxFN+GDZJr7pPqxnfaRnkVIVLzaS474lXM8y/FxhpnOMWLS6tWGc/f\nvdvwZn/hBWnJrwtTI1QMaxSqN3rvlIeHkQfodr+fy5cNQwOTyXDknDPHuP7777csyj6mv/rziWbT\nwUiz/dz+VFPszDAyOFhJ2MiZS2rNnBxzJl4THq6X/ZqqFLszdZZi/nwGM07l2SofTutX2j6Rh/yZ\n5YlQNLGxsWrYsKGKFSumRo0a6eLFixmWW7RokYKCglS0aFGNvyN41aRJk1SiRAmVLl36rma1FkXz\naGjZsqV+/fXXLN93p6JpU260PDinmXSRO+f0FmNUit1yd4rShAnGSiYhwbDe6vPKboWFhKi05wqF\nlJiSoRC5ckVyd4vTi9V7aWRwsIY2bKyWjY+pQgXp9Ol7t23urKXKZ3tCL/CNfDmphTTOtsmwecac\ngpUKcEKvUEKd+Z/M4fgDOKT8nFQR+1n6lm5y4opqs1rdmS5vzqhJqU9144ahDLy8jBw7wwIDtZMy\nKs0u9eBL1XKdqA6tIuXvb6xKpk83knaZuXpValTvhDxz7dd+iusAxRTMKuW336Zvp6xO1+ZNm25Z\ngs2aJYWE3Hqvd+3nVJlN8uewCnJUxdl/z4jHd8Ms4AsQpRbMy1ErrhGDt6ik99pMnaWY/dyqsU7u\nnNd53J9Ys+XM8kQomsGDB+v999+XJI0fP15vZuDSnJycrMDAQB09elSJiYkqX7689t70plq5cqUa\nNmyoxJsuyOfusr59HBXNgwbJfBwpUqSIDhw4kOX7zIomJcVI4+vteV0v+TWXQOMZog7M1lsBgZry\nwV/q1k3Kl8/IKjl80Bblto7RMhooHxd1AZe7Onw29RyqWqzVNRzVknkq4viHFv58/zhoYSEh2k45\n5eGSrEjWlZsBNbMrBM3bSFXy/6aKDu9IoFb8KjApN9cUThP1L1NGVfJNVwiL1OHmVtILfi1UMihW\nDg5GJADzVuCa8HC9UK2ffPLsl4PtFf020zBXmzfPUEZjxhjj+UK1PqnftVcrVNRY3pQVSbIlUZ/Q\nX8lYZ9inWbOkjh2Nv+PiDL+fXrW6aWRwsDq6uuo1XhekyJYEXbuZNyargtmsgN05pzI3M2rmlBXX\n8OGGYs4MZoW3hIaqy8on2mw5szwRiiYoKEjR0dGSjGRZQUFB6cqsW7dOobd90OPGjdO4ceMkSR06\ndNCKFSvu+5zHTdE8ykjKj4qrV6/K0dFRyVnMMLYmPFy57S6qX9VnFOT1h8qUjFV09C2BPLRWqJxy\nxWrapDWp91y4YASp9MxzRL439/afYoN+p5kW0FzPVBypefMMYTt3rtSu/Cj9TDt5c1punNdzzFAC\ndpkSIOZZbhU2CEypiuZBZ7nLl0u+efdLoJ9przb8ovbMlhUpKuS6XY7211XJ6Q0VtvtFHdzc1anZ\n73J3N3xsihUzrN927DDGqUvlwXJziFIJ7zVpvkPHjkmlS1yQu91BNSFccdjrBzrJx3qlPDgnD87K\nicsazxCZ7tKn4cOlESNufVZV803Tm4zTOdxVmU2yIllN+VLF2f9Agnn17+GyIlG21nEa2qhpjv0W\n2rY1rOIyg/l3eZyC8uXUE222nFmeCEXjclu0O5PJlOa1mV9++UUv3+YWPWvWLPW5mXGoQoUKGjly\npKpVq6bg4GD9/fffGT7ncVM0/9YkSPdi48aNqlixYpbuuTWTPa9S7FJ3pmtIQMl0P+yPPzZ8G+5k\nRJ1g/UkNWZEsX06oKeFqxu8q7vaXWrQwDrZbtpSC3P9Qa36TJ6cFKVpDrUwri7CQEO2mlDw4p9bM\nUS+m5MhnlZgo5XVOUB//pzWTrurKTAn0bP5OsrFOkjUJGsBHasfPakq4fOx3auYXq1LvnTzZOCMp\n7zxbM+giZ4x0A8MCA7V8boQOHzbilDUt9ZGq86cgRY5cVwiL1YYOiieX6rJSP9JRFdiql5iaYRTq\nDh2MEDfmsdhLkGxJkB1x8iRaOyijMKzkRbSO4p9twXzxouTsbJwp7dr1ICOblhIlslafsdPQWHbW\nNzS4wb0Da/4XyGnZ+dDMmxs1akR0dHS662PGjEnz2srKCisrq3TlMrpmJjk5mYsXL7Jhwwb+/vtv\nnnnmGY4cOZJh2VGjRqX+XbduXerWrZu5DjwEzGaXd3K/ZFWPM7t27aLs/Wxn72DppEm8E3mM93Gh\nD5MZybtYHTHMg283HX31VcNEefNmI+GUmRQHey7hREW2s5nKqUm/3q4SynsLFqeWGx76HqOXLmUD\n1ejOt7RnDrPpSIqD/X3bGNxzAPVWF2F84lu0Yw5l2M3l/H/Ro2+XLPX1TuzsoFXrXNg6fclPa5dz\n5oIrb5cPJbhxb+YNuUwL01Im8joAZdlFw4TtTHjPhxUbwMrK+Jff4U9SokvwPG0Ba8IYTVSkP+Pb\nelGwEPj7w6WYMrRgFWfwxZ/jLKExa4EBDg6cii9ABbbzB7WpmHsB+c7NYMglcHG51c6DByEoyPjb\nOj6JMQwlGTvycpndlMGLGD5ydcXHbge9PAby1geB2TL7PX/TXLp8edixA+6RNy/TJCbCsWNQrFjm\n7zEnEIyoCB3G/UaVKg/ejn8Tq1evZvXq1Q+t/oemaJYtW3bX97y9vYmOjsbHx4czZ87g5eWVrkyB\nAgU4ceJE6usTJ07g5+cHgJ+fH23btgWgSpUqWFtbExsbi7u7e7p6blc0/zTJ9hkLuJRM+p88jtwv\nq2ZG2CYkYEsKkTezKd4tO6SjIwwbZvjCLFx463pIv350/yMfo+I+Tb03o6yF5uyGr0We5Ar5+IUO\nNLX+jXefPnzfNs5f2YQy1U5z1PEUExMq8PSVb1gdPZWv6zllqa8Z0aYNfPZZGVq9WoaDB+HdSc1p\n2BDqFf6YboeWM4/mJONIe36lEFFcdS5BcHAjJOP+mL+20Cr6AIP5kDjs+ZAh+HOcqbWL8+6aFQAM\nD/2I0UuXMogJBBLJcQpRhyhmlCjJ0Z2FmFGjCLZ5CvN1rzjmrfDg6achPByKFDH8YQ4dguLF4fJl\n+GLLdC6THzsS6cCvhLKURTShUNUKNOoawm+/hVAnm64ldyqaLg+mxwFDSfr7w11+bvckKAgOHOA/\np2junIS/8847OfuAHF0fZZLBgwenWpGNGzcuQ2OApKQkBQQE6OjRo0pISEhjDPDll19qxM0N5AMH\nDtw1PP0/1L278qgiKT9KGjZsqIULF2bpnqxsIcbHG6FZzP4dkpHjxM01Tm81an5fq6I14eEa1qiJ\nrK0SNbRRU0354C95ekoRERkWl2Sc8RQubGzr3M6zz0rPtI58YGOOa9eM7aJRowxz7UWLjMjBbcq9\nK0/Oaj3VNIsuKsVuxWGfblzCQkK0jfJyJVZN+T3D8bv9uzaE8erLpxoaGKjwnxYrb970bZo0yUgU\n9sVHf6pP7S5yznVOL1XvqdyOicqXN14vFGgue+KUAnqPMLnYHtf3X63U2bOGkUZWMk7ezrx5hrn6\n77+ntWx7EGbPNs5ossOIEcb51H+dnJad/5h5c4MGDdKZN586dSpNqPmFCxeqePHiCgwM1NixY1Ov\nJyYmqmvXripTpowqVaqkVWaHgTt43BSN9OSFsPD29taJeyXxyICsKtyvv04bvLFnz8xbFJkx54KR\njACZnp6GkLuTEycMq62MEoUu+GGJnGzOah3VH9iYo1UrQxgOG2b4AQ0caMTSetGvZWrctA7MVpV8\n0zK0pivhFKGX+UohLL7r+Jm/awOrt5GD7RXN/36pdu0yfGoyYtyITcptHaPhvPoldGoAACAASURB\nVKPi7JMNSSrosFFLf1uon6cvl7PDudTv7eC+O+TjY5hBFwu8pOeqDMyW8p061fDv+eW75XLKFZsj\n1pgjR2ZfWfzwg3E+9V/niVA0j4rHUdE8SZw7d0758uWTKSNvyfuQFYWbmGhka1y9+lYitIwSoN2L\n6tXTKo/Nm43IAL/8cutacrIUHGw4dGbE63XbaTDjZEuCNlHxgYw5hr6+TW65o1TSY5Vcc5+Qu1uc\ndu5MOy4D67WXp/sNLb8jcebevZJLvnh1rBgm/3zbMjVh6dHDMCFftMiwXMuIsJAQzae5IFlgUhjv\npvYvowjL8+cbZs8lnMIVxnvZUr5jxxrZTIcGBMqVGEXjlW0FbnYdKOW5Uq3Ljs2WstqyxciS+l/H\nomiygEXRPFxWrVqlp59++pE8a+jr21TQZacaFPlCZe4SbPJurAkPVwnvNWpfcmSa2fL27ZKPj/T2\n4K0KCwlRvcJT5e+6XSvnh8tkkiIjjRAur7xirAJy2VxTXZYLUuRGjCbST0nYZMt/ZEDhp2RHvBy5\nJk/OqkfBjGfxixcbAUJv38br1s1Qhn/9ZSjQzHDokKEUQktMVgXvhWnGIT5e+vFHqYjLZnlwTo5c\nlRVJ2k/xVCu9RYvSOoCaeb7qALkSKy9OZ8uS8vXXpfrFvlYy1nLghnryRbYU+O2r5NLs0nbKZUtZ\nXb1qhPpJScnSbU8cOS07rXP2xMfCf4nsWJxlh7UREWh+Rxwu5WLn0bZ8e+YtlvTvz9qIiEzdu6R/\nfxqf3UKNfVcYvXRp6r3ly8O44Wv45OP8xC2tz45jrXnx4q/0etYKT494atWCiAjDEup//4M36rVn\nAkMoy27WUZMFtKQqm4iKL5el/sz/6FvqH/PFhDUJ2LOOmnx1YinLJk9OVzY0FFq2hGfanGJ4aCj9\nq3Xmlx8vU6HoEuzt4S6GjOk4fSCC/CnL0f6iNDu7hdFLl/K/1ybzTOsj+PnBN99AhUJL2EcJwJri\nHOZ5ZpCMDSkODsTE3AqmeTu+dvupxRrO4UMEoanXM2NJuTYigmU/LSfh5DYGMQF3YnDlQpbqMLN0\n0iTGREaShC2RBBLEAcZERmY4pvdi65oIbE3nGVizE8NDQzP1HbNwfyzRmy1km927d1OuXNaEbHZY\nOmkSY48c5HcSiMGDymyhcmR6c+i73TsmMpLaVOI7nmc9Nbga6czMrgVx8YMTh4MgxZ6PGYIDcZzE\nj2HXf2RjpdlMXjOD263srw3owzs7V1Hm3G6COMhyGtLKayDzD35Anz7QtM4S1k37GNuEBJLt7Qnp\n1486zZpx8iT88cetfwf3zWQH6yjJHhqxjKIYEYvvJlhb1ltE56+L83JSPlYSzEAmsy7sO4q+Pp3E\nxDqZHsP/XT9PTdbiRixP8ydHTxQhwG4NGzcGEBAAayPK0+OlzlQ4u52rOJOHazR0G8+7fUuy5SB4\neKSt86+/4Mut02jDYibRhzGMoClLsOL+lpTmCUCBM1OIoSQLCeF93mQW3VLLZMUa83bXgYU0xQHj\ndVaUlblNVRK+osnGi4SSM9GkLYBlRWMh22THtDk72MQnEMYYYvCgIz/cdv3+QsQ2IYEkbNlFWdy4\nQHt+pT+f0qjwl3z/PTxfbgBHKUpz5uNJDDdwoj2/4mF9nDtdueo0a4ZTrdc4UzSRUcHBjAgNZdD0\n+hw67EBU5HE6PluBoKUetFlzAf+lhejdKRFfnxtUrGiE4A8MhGnTYGC99iynEbuoyMcMSa3/boJ1\n7dcTWZzUiR58zv/ozAAmMiYykr9/mpHpFY1tQgKV2EYCuZlDe9rzC1EUomHBrwgIuNW/ayWH4lhs\nD5G2hShVZwbbk/viWqhZqhkyGH4qw4YZqRkGDTyNb+BYevMFSdjxPV0YFhhIoztMze/EPAHYR3EO\n8iz1aU4jlrORapiwylQdt2N2HbAjmXqsTr2eFWVlblMJ9nMAw4koO6siC+mxrGgsZAtJj0TRSLDk\neF8SCKAF4ZRiX+p7mREiyfb2TGQA7lzgeWbQkZ8BWOcdSrly4OxyEQ9ieZbZWGFFCjbUYS01mZhh\nfVfiAxkwIZBWrbqnuV7O1IOmKYV5gRk4EEdr5tP32iK2lV/I539MTaO04gf0JuzoQcbcnC1Dxn5A\nZmwTEqjCZlKw4wbOOHENgFxJ1zKtaMyCeD3VCWE57/MWO6hAPm75uyUlweYdBdi58xUCA+H9xbOo\n8CO0bX0Zp/j1+Dntpeei/ayM/pASpfKxYwd4e1dmbY1PGTl5MuXOfkuvfRP5edxm6jRLnzfodpKu\n2TGY8URRhJeYSmcOMxlItr5Erxov8+zQVllaRZh9pjI7phlhXhW9yHRsSU69/m92qH5syNETn8eM\nJ7x7/yjHjx+Xr6/vQ31GSorUp48UVOyiXi9cSU2I0AKaZ8n/6Jdvl8vROlZdmKUp9Ep3r/kQ+RS+\ncue8krFSXbcP5OEWp/Xr09dXqJBxsH47589LFXzCVYAT+o6uiiPXfUPeZ8Xqzux3VIUNysslVWGj\nBBpQt5O8vO47BGn6KVAPvtRrTFFNl8+U1zlBI0YYh+DLlhmRsSXJ398whlj9e7iK5l6h4uzV80yX\nO+fV1HOoVv+ecXu7dZMycItL5fp1afx4KbfdRb3M1/qNlvLkrA5SVAKV8V2hb77JXJ8y6uODuA48\niSGisktOy84nWhJbFM3DIyIiQo0yMkPKIVJSDGuvGjWkS5cMIeKW+4R6V3kuS0KkbVvphWcPqJTP\nKrUt8W6G95oFlJvjCfWo2VNrwsP1+++Gr813390qd/mylDu3YQZtbuPUqYbfTdVCc3QZ54cipNaE\nh+v1wpXkzGXtpJRsSFSVfN8o/KfFypcva/UMDw3VoBqtlNvuomZ+sUrHj0tdukj580v16xvWbGvC\nw+Xnslvdy/fRM+7ueo9WApNcuKDDBNyzX6dPS/nyJui1p7un8YlJSpK++koqUEBq106a+cWqVMX3\nBT1Vhp16o0gZDXh1l1566YGHLFs8iQ7V2cWiaLKARdE8PMaPH6/XX389R+s0+0G8XaeeyuVfovJl\nYlJz3iclSfb2aZNz3Y+ICCP7ZlycFBpq+JDci5dfNjzkzezZIxUtajhTrpgfoe5V+8k3z36FhYTo\nm0lrVb26oQi3bXv4QmrUW5tV1GOjRgYHq3npj2RlZdLIIZtlax2fLSfHCROk23yjtWGDlCuXVDD/\nVXX27aoOzNb3dFQnvhekCFI0ja6ZWqnVdxunZjcjFphAbbx7q2CBq6pXT9q4MW3Z4aGhGlEnWGXz\nL1Ojeie0ebOR6fOf4klzqM4uFkWTBSyK5uHRtWtXTZ8+PcfqMwvqJGz0LP9TA5ZpUJEyqT/0w4eN\n7ZzMcuOG4eRpVi5VqqQVchkxa5Yx276d2FjpqQrnVMRxrT6ljzrzvfrziXLbnNfgvjvS+Fs8TCH1\n8svSxIm3XtevdVI2JAiSs+UomZBgKFHz+Pz9txFBuW25dxXAYeUhVrYkyomrepOxys0Z/UK7+67U\nwkJClICdirNfYbyjymxSRbao81NDM8yCaub6dcNRcsoUI7PnXXIhWnhEWBRNFrAomodHhQoVtGnT\npnTXs5vYLSwkRBupLBsS5clZxeKSRqAtXnx3j/aMGDFCat/+1uvAwPRnK3cSFSV5eKRPCz20YWP1\nY6JsSZAD1/USU3Ue90e2d28yGU6bt6eeHtqwsQoTKTDp0m1bdllp0/z5hiNqYqIUFiYNGSK9XTtY\nz/GdwCQrknWDXHqBaSrAOn3Di/ddqZnz+DzPNFmTrB/pqBSsMuXUevCgEfHA2/mQupQd9MQkBvw3\nktOy02J1ZiHLJCcnc+DAAUqVKpXmutkP4XbLn3v5IayNiGDppEmkXLfmh429GEsLSrMbf45Rnp28\nx9tYxUWxNiKCTwYd5eLlggwP/TzVP+VuHDoEn30G27ffunbhAri63rtfR3dGkHy9Ir2rDsPN7Qwh\n/fpRuV4zth1rzDY6kowtbZjDN7wCPDprpAMHjP/NYfsBciXF8Tof0Z8p1GYtO6iIVRbb1KIFvDsi\nhublZrMtqinVA35m+f45iNy0ZD6bqcxc2rKQpuS2X8HPBSpxrNgpGvfte9fxT7a3JwVrNlKd32hN\nK8KBzFkInjkYQQPH31kW/T75d3kyepfFj+WJIUfV1mPGE969f4x9+/YpMDAw3fU3GzbTCuopF3Gq\nxp96n8H6mpfVrvx7Wr7ciCN15IixLbJqQbiGBhTVFHrIkWvKxRXNpVXqzHwd1VWTP+XueECdfLur\nP59oAgPvuUVkRGoOUaDrRjUo/lVqmZQUycbm1iF+Rpi37l7kG02hl2JwU23XT+SSL17+blvlQqxW\nUvcfsUaaONHYOrudkBJTlJ+TKsUu2ZCkl/k6W2FbXvZrIhdi5Mg1WZMsL7uN6uUVqL58qj58Kh9O\nyc3usLp3PpCacfN+dbb0Gqin+UOmLJ5Vma2+2vCrvIj+T1t9/dPktOy0rGgsZArz6sM2IYFdFy/i\n6+mJyQS7dsGyZbB8OaxaNZtwjpCIPVupTADHcCSePaeKMXo0XLoEFy8a/65caQwcAKzIzQ38OURf\n3uAzeuNAPA7Ec8npPPZWNiw+8zGXyEc5tuNIHGUjL/DlyHU4eDbD1dVYqexct5AVA/tTLrIiC3Bk\n0cXejOrvD0DZms1wdgYbm7v3b+mkSbwXeYQepPAm7/M279H24m/4Vx7OkmPvEuz1FvXOrU4tn1Uf\njQdh6VLo3t34WzKcJfddfZ7WhZrjE1WbTVRlGi+y2XY/waeWMjw09L6rPjD6PPXkUr4lLynY0ofJ\nfJo0gB4FKrDFrhh+ufeQdCoZv8IulK3sTlTU/dtaI6QZW2zqUq/yO7zjFEyKg8M9V0C3Y/Zjmc6L\n/M2thDAWP5Z/PxZFYyENtysUcxgVgCX9+zM4MpoYPHgDF/bbFcTDPQF3D3saNYKePaFUwvNErB6N\nO7FUYwPLCOF1Xuaa/qKkypDsZU+5fkMYM7EBO3daY08ChTlCZbYwgE/ZgANz8niRxz+IRNs8tKrf\njF3hy6lz6BeGMIGz+LCLslzAjc1HAujd+5biungxFEdt4QZ5ac4CruPEmMhIeo8Ywezcv0D8WIaH\nvpBOAF+4YAjy8B2vM5WZJGLNdXKziSrk5wzF925jyDuOVC0ZwtuTD2ATH58l4fmgJCQYYWtmzTI8\n8l9+2dga3Lo9D3s3DmbqqDVs2lOQp5JGszX5A97fvZOQ3ZnbcrJNSOAKzjhxhUQcWEl9SrGXotci\nKFmnCY0bN+HYh3DspoK5cuX+7Z05E4JKOjFrxQdZ7qvZqdSFKzRiRer1f3NiQAs3ydH10WPGE969\nHCdDE92AQLUPelbDeVdgEpiUh4bqQBv1rt0tzf0De+2Uk020evK5KrFZX1JZuTmlL+ipaziqGQsE\nKbK2TlGVQr8qGWudwVtuxOgEBTLcJgkLCdFiQuRKjJy4oiMUzrDciDp19T2dBCkqwza5EaMhjFd7\ne39torKe4u+b/SmqqRPXavRoqWZNIwFZ8+ZSaIlJOkJhdeZ7VWGjPmCQglmlKoXm3tNaKqe4mxHF\nihVStWrSlStGYrCWLQ0LLTPXr0t21nG6jqM68JPApGXUy9SWU1hIiN4jTF2YpY94XU0J12rqqJjn\netnbS82aGUnN2reMVGG3LSrpsfqeB/TmJHUZ5fLJ7BhY/FgeD3Jadj7RktiiaLKGeY/8GAX0JS+r\nD5PkR5ScrQ+rFXNlQ5zsiBcUU17+krvjcXVud1jdq/bTG9Vby9H2opydrqp1UCfZcF2trfOoEw1l\nTfxNK6YUtWCeBjdonUaovMk49eSLuybvqpD3B9XgLzUlXM8xI8NyYSEhas1vys015eeEDlNEfZgk\nB2L1FOvlxnl1Z7p8OC233CfUv7+0ZInhY2N+zpsBQXIlVr/RUnm4ouK5F2nl/Icv5G4fi3jsJNCL\nPj56rWJF1Sz4vaoW+kXFAi+pRw/Dn+hOCjjv0Wrq6ABF5cwleRGttxirsNr3dqgN/2mxHK1jdYBi\nSsBORTmoZ3xf0JrwcAUHG/4stjYpKuP8i5y5pGqsv+cZ2WefSU2aPPhYWPxY/nksiiYLWBRN1jCb\npvpz5KYneKxqs1oBdt/ImUuy57q+orPAQeXYIM/cu1Up7yyVZI8cua5i7Fdu69Nqna+jvIiWDydk\nR4LAJBsSdAT/NM5+ZqEyuGYLOdpd0o/frEjXpuRkydUlXk8VXKDahWbKKdcFfTtldbpyc2ctlYO1\nIWSfYpPm0ko9HRw0jbKyIklgUgCHNJphGlKzWYb9/3TcOvnkPajqBX6Snc0NvTfs7wce0/uZe8fG\nSh0qvK3BvK+n+FvWJKseP6kFXXUedwWxV76cVB3Xj+8a9qWa/y8azTBF0EQhLFY0XmrLr/JwOpZh\nGB0zo0ZJofVPpAr2ZyqOlH/BK0pKMqIEPP20FBI0WSMZqVw3JwsHCcxwtXTjhhFd4O8HHzILjwEW\nRZMFLIoma5hXNAtoJlsStJBQzaG18uY6LjfbSNmRIHv+lDWl5GRzVt5Om5SHKyrPZjlwRS7EGltj\nJN90JkyRFSmqw0rVZ/A9rYhGjTLiZN3J2rVS+fLSRx9JAwYY/7dqlb7chAlS44ZRymMfoyaBn6iw\n21Y1L/68fDkpO+KVh8uaSF+152fZ215V+/bSggWGD4lZGdTw+0lF3DfJv+AVTZ4sNW78YOOZ0VZQ\nH/9aGj5oq157TSpTRsqTx0g4NooRWkE9HaaImvGC2vKrcnNVYNJLfKUE7O66FTY67G8FOK7RRPqp\nN5Ml0FsBgRr55hZ5e0tvvGEogtu5cEFyd0/rW2QyGSmzp0wxEqo5OUmDarTU17wsN86pPFvlznkN\nZYyG1mqc2sewkBCFBExRca8/LSuQJwSLoskCFkWTNcyCMQo/5eGKuvGdGnmMUsniFxQ2cIuCvP5U\ny6CSCvQIlIfbDXk5HZYzl26e3aQoF/HyZZMasERGOuAUbaGCWvObOtz0Kr/bnvvly0Zssb17014f\nMEB65x3p228NRRQXJ/n5Kc1M3WQytnnWrjXeO3RIyptXcs6ToCp5p8mVGHVhpvowSUMDAxX+02J9\n9ZVUq5bhIFg533f6m6fky0l5Ea3ehWpr6W8L5ekpHTiQ/fE0K+7zuKsrM+XPUXlwTkFef+qjj6RN\nm246S94RzHHkzf8v4KzufKP6LJcvp1TXf5qio9M/59w5ySl3op4quEChgZPSbDmdOyd17CgVKyb9\n8cctxVC70AyVL7Ao3WexY4exgnRxOC3P3JEq5vClCrJfBygmgU7hqy7MkrPDOb09eKuGBgTqKk7y\n5ox2UDZbWS0tPH5YFE0WsCiarLMmPFwvVqgkG67Jlouyt7mk779aqUGDpF69pBo1BsnHZ4xcXSVr\nqyQ5c0n1WCZHrsiNGPWhgNyIkTOXVJUNEqgc2xXqXOe+e+7vvy916HDrtclkHC7v2mWsPpo3N65/\n/bVUr94tD/4NG4xwKiaTEaamWzfJzU3q3Fkq4n9ZuWyu6eWKPeRod1lL5yxM88xetZ5XTz5XLq4L\nTJpP09RV19ChUr9+2R9L81ZkAnb6mpe1jyCZMogTdufKJyyDCMK7KK1KfuFycZG6djWU1O33u+eO\nkl/eXepYMSzDMZ4zR3J3i1PlfN/qOH5yI0ZHKJxOMZjPxHIRp4IcUyiL1N3GXWvuOKCf/P5f8nY+\npNqsUS8mqyM/WvxeniAsiiYLWBRN1jELvXJskysxKsc2Vc73rXLZJcvXVypcuLHefXeBOnSQPD1u\nyNV2t2owWt5skx0XlcvqvBysYrSeqirACZlAdlbXFDF78X2ffe2a5OtrBKmUpM2bjZm4yST9+adh\nJSYZB+LFiklLlxqve/SQxowxwvU7OEh16hgBMfPkkYKCboWVadzYiGcmGU6jn38u+ebZr4IcU0GO\nqRIb5cNp/UlNjQwOVlSU5Oqq1MCeWSUrYedvPwR/qWJFve7jk6H1VWys9OGHhkKtXl16e/BWvRlQ\nQi8xVe6c10GKplMeKSlGeJ325UeoKutlS6J8OakuzFI7flFRzw2qX98YXx/ngyrGPoFJ9sTJl1Py\nIlq5rGJlb3NVdjZxymWXLBsbc9OSBSbNpcV9A25a+PdgUTRZwKJoso5ZOFrdFCCQoiaEy9b6hrZt\nk3x8/FS8+BF17y4t+XWhitgvVUOWyufmWYgN1zXujQ8UFtJYttbx6l37OeXLm5Dp50+adGvlMmzY\nrdwmM75YLffcUamH6iOHbFFQsYsaXL+FHGwvq1PFt+TjfV2urre231xd4uTvulUBLn8rLCRE77y1\nWeXLS889Z5jtduggdao0VDN4TpXYrGSstYhQeXJWLct+IMlIMzBlSvbG8kHMde9nfZWcLM2dK/m7\nblN+TqolvwmStYz6mspLqlF4ttq0Mc6BHB0lHx+pUL7tepFvVJ6tepXPNJOu+pn26lzmLS1bZmyt\nvVLpFe2mlAYxVvsoplP4KhovDa7ZQpcuGZOB+Hjj+cMaGd+VS3ekR7CsaP79WBRNFrAomqxj3u6x\nJV65uCEvjsmVA7ImXvY2xwVO8vFJUYsWRg6WMbypXDcPrd05Lw+i1b1af0lGwMaZM28l08oM8fGS\nl+cNda/aTx65j6l7tb76bORI9fOvKk/OpgqzAd6+crPdqX5MVEW2yINzauXVT4X8rmrvXmnapDVy\ntI6VB2fVk880niFytTsqa+sUDR1qnF1IUsTsxcpjE631VEut+5WCofL1vq6hQw0/lhIl0gfazCwP\n21x3ZHCwdlJG9VkmMOlp/lB3pqt+4a/188/S1q23VmSZWWFldRVm8Xt5Mslp2fmPRAa4cOECHTt2\n5Pjx4xQuXJiff/4ZFxeXdOUWL17MgAEDSElJ4eWXX+bNN98EoFOnThy4GWnw0qVLuLi4sG3btkfa\nhyeVZHt7DlAcW0z0pi/fMpirFMafKC6m7MXOxoMalaO4eLUw+88+zXaakogdAJPpjS0mXtv5EXFx\nUKwYbN5Mak76zLBxeQRPsY4DmzrigDXTNk7hxR2+BMRX5jweDGY0NtiQeNYZey4ziX7YcYNu/IDz\nucIssRWDB8MfK0qQ3xRDJMX4ip68yLcsTOrEAP9BmEzt8fQ0nrdsfSjBDaKIsHJhcbwRMqVr376M\nqZqbtm1h/36Iv3GVLlXGUjzP+tRoCZmNClCnWbOHGkEg2d6esuxmOY1IwRpbTAC8HRRKhw6vpCmb\nmXTHWUmJbO7X25MnP/KICRb+ZeSo2sokgwcP1vvvvy/JSKD1Zga5X5OTkxUYGKijR48qMTFR5cuX\n1947TZIkvfHGG3rvvfcyfM4/1L1/NWvCw1Xffazyc0LP0kCxuKZGBPBilPxpoJpFftK0aVK3KgN0\nDg+ZQH9STX5E6W3eUUnv1XrjDSNhWMOGRgj6zBIWEqJEbGVFkmxIkD03ZEVKahsMn5wk2d7MxQIm\nuXJWo3hbHzNAzrnOafBgKZf1dbXkN1mRomLsV11WKpIi6l3lOfn4GNZeO3calm7m1c2dxMdLjRtE\nKa/NSYWwOHXW/jhZVmV1VZGZFZbFadJCTsvOf0QSBwUFKfqmneaZM2cUFBSUrsy6desUettyfdy4\ncRo3blyaMiaTSQULFtThw4czfI5F0WSPcqVj5JY7Sk2dGmguLQUpeonP1Av0yR0Ol7cLuWi8VNBh\no56qcE4u+eJUzf9nuTlGqXnpCZk+l+jo6qohuN50skyWB2flzxEVY76sSJETl1SZjcrLJeXmjNw4\nr0IcU2e+10qs5WKzQ+W9F8nTdq28OKZS7FYy1vqQN+TOeTUuOUVlSsaqbblRKpRvu0JLTLpn24Y1\nCtG7hMmaZC2/GdrlcTuHsCgGCzlNTsvOf2Tr7OzZs3h7ewPg7e3N2bNn05U5deoUBQsWTH3t5+fH\nxo0b05T5448/8Pb2JjAw8OE2+D9EbCwcO+FO/kLueOUtwYub3sWPk5RjP3OANsCam0EOM9o6+e61\nGL6Y7sn+XeLI5Tok48CgPQtY0v+LNPfciTmXzU8XL9KZWXhzjmh8iMEDa1LIY7udgsnlScKWTVSj\nh2c5vjm/FWtuEE0eNlOcrVbT8E9J4dDZ2uThGp5Wv1Be17DBxCA+4lDBnSy7Oo3LZy+SktQedxKI\nuDyAEf2L3LVtdokJvM0YchNHafakXn+cIgo/7O05CxYelIemaBo1akR0dHS662PGjEnz2srKCisr\nq3TlMrp2Jz/++CPPPvvsPcuMGjUq9e+6detSt27d+9b7X2bRIqhXD7Ztg9O+b3HVKjeNtAxbEtkN\n/O7vT7vb9uszEnIrPw+lVYonLzGNRHIRSCRjIk/x9uTJdxWISydNYkxkJNPoxk90ITfXCGYNUSSS\n5OBOroB2mE5d43qcBy9V7Id9qVexnWXFa3We48s/v+ZEUkFyqRjXcACsGcsYJmoAG+1XUttrFtdM\n7uQpUJGk/bFYJXmxjwA+41VsMDEmMvKubTNHFH6Dj9Nct0QUtvAksXr1alavXv3Q6n9oimbZsmV3\nfc/b25vo6Gh8fHw4c+YMXl5e6coUKFCAEydOpL4+ceIEfn5+qa+Tk5OZO3cuW7duvWc7blc0Fu7P\nggXQsiWsXAl/bozC1W0oBxy6ctHeg/gTdrSdMuW+s2fbhAS68j2eRNOYZUAKcO9VgDkXyUvMZBmh\nrOdpDhDEWTzp1uYocSnFOXoaylaMZk90HfZtc8ffZTPNB76CfU0vZk3eitXlfFwhgFzE8xttOUUB\nKrq7EtqjHZ6e4OEB4e+NZcilZRynICEsT33+3dqWlcNxCxb+rdw5CX/nnXdytP5/ZOusZcuWzJgx\ngzfffJMZM2bQunXrdGUqV67MoUOHOHbsGPnz52f27Nn8+OOPqe8vX76ckiVLkj9//kfZ9CeaxERY\ntDAJrzMvcvXqTBztPLhqmkvp0G/In9+KpM1/Edy8OZGRkQwZMoQ5c+ZkwQwdHAAAEqBJREFUWI95\nFRDKCoR16vV7rQLM9wB8z3M0ZSHl2MlCn8qsWV+PixfBlJLIpk15yKO63CAPXWIi6NGxBlEpySTE\nlyEPcZRgH1/yGkcpghfnKVF2GsOHt0ute9vXByjJfkqyP83z79Y2i2WVBQs5QI6e+GSS2NhYNWjQ\nQMWKFVOjRo108eJFSdKpU6fUtGnT1HILFy5U8eLFFRgYqLFjx6apo3v37vrqq6/u+Zx/qHv/Wj4a\nvV757bfpDT4UpKgmf8rPwUHly/xPXbp8pL59+yohIUGVK1fWxIkT71pPdvwr7rznPO7Ka3tSQ1/f\nJhcXw0LMz2Wn8nIx1fqsPss0jRfUseJwWVunqL7bGDVkqZbSUB2YrWaeQzJMO2Dx/bBg4d7ktOy0\nulnpE4mVlRVPcPeyRUYZNM2z8yr+86gSdYpf6EAM7syjDfv4nfcd21ChWj46d67BgQMHOHz4MPPm\nzbvnOdraiAiW3bYKaJSJVcCd9/iFDOft8bUIDYUCBWD9T98RfPw4YwjDBhPTeREfomll9ysdu7pw\nOeYoO9ef5ynvecw/MJQfpm+kzXMNc6RtFiz8l8hp2WlRNP8hzJZdt583hAUGUn/CJOzcmhJS/ypW\nKTYkYI+wZh/FSCGSCtbe+Bfx49VXOzFp0iS2bduGu7v7I2nz55/D5Mlw9iyUd59GwcN2/EhnptOd\ngXxCHLlpV2UkQ2d+RIMGUKUKVK4Mc+fCli2PpIkWLDxx5LTs/EfOaCz8M5gtuy7izM88w2Xc2BJZ\nnw/b1SKf41GSUvJjxzWciKM2G3ifMKbzImDD8eO7+fDDD5kzZ84jUzIAr70G69YZ/+TVhMXHr2Cf\nlIATNwArbG0uEJe/N8WLg5sbXL0Kf/8NTZs+siZasGDhPljfv4iFJwWzZdcQPuRVpjKc0RzDjWDr\nnrS4vgKwpQY7EPH0pDsLaUqPgo3Jm68WycmJ9OvXj1q1aj3SNltZwVdfQWL8df7a4MrF5ILY2hyh\nq+1UWtV4h++/30f0hQCefRYqlTnIjg1RrFp8lhNLB7A2IuKRttWCBQsZY1E0/yHMll1TeZWefElR\nDnEWV1Ylz+BbXiIXCdiRxHAm8ZNrCuWC5vO308dYJVYmn70L19es+UeE95bVETS3bY1MtiQrNzYp\nBeji8zzdwprQrGMoS5fCmRNnWD73BtdveGBKzM20TZNZ0r+/RdlYsPAYYFE0/yFC+vUj7GYUhU8Y\niDWilN14TpMfV2Jx5CrLCOFDBnEiz2T6vF2Yo4fz4Xs9lIiEkoxdtuwfEd5LJ03iyxPLCWIfALYk\ns+nkWLp1K8Azz8DAgZByZhUBCVeJxwEXLqY6Yi6bPPmRttWCBQvpsZzR/Ie40yekZuJnzPp7AtdZ\niS9nqcQW7EkgCTt+PP0Mbbo64M9xDlIUs9PlvbzoHxbmLb+VNKAoh9nCU8Tgwcd+9WnWrgIxMbB3\nYQLF2cNfPI0Vtw4xH6dQMRYs/FexKJr/GHeGjLF7aS+1Zs3GPsmRBbRkD2X4yCeFb9/x5+ORVzgc\nHUwijoxnKL9jONY+auFt3vLzIoYk7HHjAn6cwt/Xh44djTJnFvxE7PHWdGMm3/FC6r2WUDEWLPzz\nWLbO/uN0aH0UWSUQhS8ubKc9A5l+/g/6vVWDFJtcfMcLDGUMfpxKvedRC2/zlp8VkJ/TnKIAwwID\naXRbGJi8Nd/jR9sWfEr/1Gt3lrFgwcI/g2VF8x9n+ZRJrE/cS2GisCM/TVnJZykdmVvFi5B+fVjS\nfxevRG6nKpuYRH9GBvo/8jhft2/5pay/xrtBbXhlZHDq9dhY+PTrqrzz7nomrKlhCRVjwcJjhkXR\n/MexTUjAn5PsphSl2I/Z1//3hFuCfPrkyTiuj6Zb0bd47d3q/4jwNm/5HeoEjVt8QJ2bTZAMX5uO\nHaH/0BowdPEjb5sFCxbujUXR/Mcxn3+UvkuQSbOA9/kM1q8vmyrgc4J7hcO5GwUKwKlbu3j8+CPs\n2QMzZ+ZcuyxYsJCzWBTNf5zMhsHv0AHCwuD6dXByevDnZhgO5+bf91I2BQrA8ePG3ydPwoABsHgx\nWM78LVh4fLEomv84mQ2D7+UFNWsa+Wo6d37w55rD4WynPCXZhz2JmTKdLlDACEdjMsELL0C/flCp\n0oO3x4IFCw8Pi6KxkOlUwM8+Cz/88OCKJiEB9kbVpiYjOUFBFtOY0uwF7m86ff74OjYsd6F50DL2\nng9haN+jgCWwmQULjzMW82YLmcbDfjHLFl9jyNMtGR4amuUIAceOwdChUKgQbD/fhCF8wFGKpCoZ\nuLfp9NqICPZ9NoyUyy5sOtyFVZdbsWJgP0uYGQsWHnMsisZCplgbEcEfQ/vQKjmcgHW+jF66NMNw\nNGsjIhgeGsqounUZHhrK6t8jWLwYWrQwwvcnJMAff8B3M6L5O3A3tjcjDsD9/V6WTprEB1GbOIsP\n7zCS4hyyhJmxYOFfgGXrzEKmMJ+pvMdu+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       "text": "<matplotlib.figure.Figure at 0xa331e80>"
      }
     ],
     "prompt_number": 237
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "print 'start: {} {}/{}'.format(start_station, stations[source][0], stations[source][1])\nprint 'target: {} {}/{}'.format(end_station, stations[target][0], stations[target][1])\nprint 'maxflow = {}'.format(maxflow.value())",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": "start: Broadway & Battery Pl 40.70463334/-74.01361706\ntarget: E 47 St & 1 Ave 40.75206862/-73.96784384\nmaxflow = 154.0"
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": "\n"
      }
     ],
     "prompt_number": 238
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "flowpath = MaxFlowUtils.flowPath(stations, flownet, source)\nlen(flowpath)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 239,
       "text": "110"
      }
     ],
     "prompt_number": 239
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "flowpath2 = copy.copy(flowpath)  # make copy of flowpath deque",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 240
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "station_path = MaxFlowUtils.toStationNames(flowpath2, names)",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 241
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": "Flow Network of NYC Citibike Stations"
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "MaxFlowUtils.plotFlow(stations, source, target, flowpath)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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9qg+sSmGFGViFbRZ9EL80GxNndpH5zNzw3sg6PBr/oAUOIwz1UQSg6hsJnzJF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\nYAjf43wnzUtkOfMso4IEqxazdWv7ac7ejjVR9Xn71PnOz4y2bZltRRC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gPq0epyr8Q1p8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\nolEoFAqFTfl/MpXL50DtX88AAAAASUVORK5CYII=\n",
       "text": "<matplotlib.figure.Figure at 0x8863c18>"
      }
     ],
     "prompt_number": 242
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": "Listing of Flow Network"
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "while len(station_path) > 0:\n    print station_path.popleft()",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": "Broadway & Battery Pl           =>   Water - Whitehall Plaza            67/67   \n\nBroadway & Battery Pl           =>   Pearl St & Hanover Square          78/78   \n\nBroadway & Battery Pl           =>   Broad St & Bridge St                9/71   \n\nWater - Whitehall Plaza         =>   Old Slip & Front St                67/68   \n\nPearl St & Hanover Square       =>   Maiden Ln & Pearl St               69/69   \n\nPearl St & Hanover Square       =>   Front St & Maiden Ln                9/81   \n\nBroad St & Bridge St            =>   Old Slip & Front St                 9/72   \n\nOld Slip & Front St             =>   Maiden Ln & Pearl St               64/64   \n\nOld Slip & Front St             =>   William St & Pine St               12/76   \n\nMaiden Ln & Pearl St            =>   Cliff St & Fulton St               59/64   \n\nMaiden Ln & Pearl St            =>   John St & William St                4/70   \n\nMaiden Ln & Pearl St            =>   Fulton St & William St             70/70   \n\nFront St & Maiden Ln            =>   Cliff St & Fulton St                9/76   \n\nWilliam St & Pine St            =>   Fulton St & William St             12/82   \n\nCliff St & Fulton St            =>   Spruce St & Nassau St              68/68   \n\nJohn St & William St            =>   Spruce St & Nassau St               4/74   \n\nFulton St & William St          =>   Centre St & Chambers St            82/82   \n\nSpruce St & Nassau St           =>   Park Pl & Church St                66/66   \n\nSpruce St & Nassau St           =>   Reade St & Broadway                 6/70   \n\nCentre St & Chambers St         =>   Centre St & Worth St               82/82   \n\nPark Pl & Church St             =>   Hudson St & Reade St               66/74   \n\nReade St & Broadway             =>   Centre St & Worth St                3/82   \n\nReade St & Broadway             =>   Church St & Leonard St              3/78   \n\nCentre St & Worth St            =>   Bayard St & Baxter St              85/86   \n\nHudson St & Reade St            =>   Harrison St & Hudson St            50/66   \n\nHudson St & Reade St            =>   Franklin St & W Broadway           16/72   \n\nChurch St & Leonard St          =>   Lispenard St & Broadway             3/78   \n\nBayard St & Baxter St           =>   Howard St & Centre St              60/70   \n\nBayard St & Baxter St           =>   Elizabeth St & Hester St           25/74   \n\nHarrison St & Hudson St         =>   Laight St & Hudson St              50/50   \n\nFranklin St & W Broadway        =>   Laight St & Hudson St               9/56   \n\nFranklin St & W Broadway        =>   6 Ave & Canal St                    7/80   \n\nLispenard St & Broadway         =>   Grand St & Greene St                3/78   \n\nHoward St & Centre St           =>   Cleveland Pl & Spring St           60/60   \n\nElizabeth St & Hester St        =>   Forsyth St & Broome St             25/70   \n\nLaight St & Hudson St           =>   6 Ave & Broome St                  59/59   \n\n6 Ave & Canal St                =>   6 Ave & Broome St                   7/83   \n\nGrand St & Greene St            =>   W Broadway & Spring St              3/81   \n\nCleveland Pl & Spring St        =>   Lafayette St & Jersey St           60/73   \n\nForsyth St & Broome St          =>   Stanton St & Chrystie St           25/74   \n\n6 Ave & Broome St               =>   MacDougal St & Prince St           66/66   \n\nW Broadway & Spring St          =>   MacDougal St & Prince St            3/72   \n\nLafayette St & Jersey St        =>   Mercer St & Bleecker St             2/70   \n\nLafayette St & Jersey St        =>   Great Jones St                     58/67   \n\nStanton St & Chrystie St        =>   E 2 St & 2 Ave                     25/66   \n\nMacDougal St & Prince St        =>   Carmine St & 6 Ave                 69/69   \n\nMercer St & Bleecker St         =>   Washington Pl & Broadway            2/57   \n\nGreat Jones St                  =>   Washington Square E                58/58   \n\nE 2 St & 2 Ave                  =>   Shevchenko Pl & E 6 St             25/86   \n\nCarmine St & 6 Ave              =>   MacDougal St & Washington Sq       69/72   \n\nWashington Pl & Broadway        =>   Lafayette St & E 8 St               2/82   \n\nWashington Square E             =>   E 10 St & 5 Ave                    58/62   \n\nShevchenko Pl & E 6 St          =>   E 11 St & 2 Ave                    25/94   \n\nMacDougal St & Washington Sq    =>   W 11 St & 6 Ave                    33/64   \n\nMacDougal St & Washington Sq    =>   E 10 St & 5 Ave                    36/64   \n\nLafayette St & E 8 St           =>   E 12 St & 3 Ave                     2/90   \n\nE 10 St & 5 Ave                 =>   University Pl & E 14 St            67/67   \n\nE 10 St & 5 Ave                 =>   Broadway & E 14 St                 27/75   \n\nE 11 St & 2 Ave                 =>   E 12 St & 3 Ave                    25/74   \n\nW 11 St & 6 Ave                 =>   W 13 St & 7 Ave                    33/64   \n\nE 12 St & 3 Ave                 =>   University Pl & E 14 St            22/71   \n\nE 12 St & 3 Ave                 =>   E 16 St & Irving Pl                 5/72   \n\nUniversity Pl & E 14 St         =>   E 16 St & 5 Ave                    22/83   \n\nUniversity Pl & E 14 St         =>   E 17 St & Broadway                 67/95   \n\nBroadway & E 14 St              =>   E 17 St & Broadway                 27/103  \n\nW 13 St & 7 Ave                 =>   W 15 St & 7 Ave                    33/72   \n\nE 16 St & Irving Pl             =>   E 20 St & Park Ave                  5/66   \n\nE 16 St & 5 Ave                 =>   W 18 St & 6 Ave                    22/94   \n\nE 17 St & Broadway              =>   Broadway & E 22 St                 94/101  \n\nW 15 St & 7 Ave                 =>   W 20 St & 7 Ave                    33/70   \n\nE 20 St & Park Ave              =>   E 24 St & Park Ave S                5/82   \n\nW 18 St & 6 Ave                 =>   W 21 St & 6 Ave                    22/94   \n\nBroadway & E 22 St              =>   Broadway & W 24 St                 94/94   \n\nW 20 St & 7 Ave                 =>   W 21 St & 6 Ave                    27/78   \n\nW 20 St & 7 Ave                 =>   W 24 St & 7 Ave                     6/70   \n\nE 24 St & Park Ave S            =>   Broadway & W 24 St                  5/105  \n\nW 21 St & 6 Ave                 =>   W 25 St & 6 Ave                    49/82   \n\nBroadway & W 24 St              =>   5 Ave & E 29 St                    99/99   \n\nW 24 St & 7 Ave                 =>   W 27 St & 7 Ave                     6/90   \n\nW 25 St & 6 Ave                 =>   Broadway & W 29 St                 49/74   \n\n5 Ave & E 29 St                 =>   E 33 St & 5 Ave                    82/90   \n\n5 Ave & E 29 St                 =>   Broadway & W 32 St                 17/77   \n\nW 27 St & 7 Ave                 =>   W 31 St & 7 Ave                     6/110  \n\nBroadway & W 29 St              =>   6 Ave & W 33 St                    49/75   \n\nE 33 St & 5 Ave                 =>   W 37 St & 5 Ave                    82/82   \n\nBroadway & W 32 St              =>   Broadway & W 37 St                 17/87   \n\nW 31 St & 7 Ave                 =>   Broadway & W 36 St                  6/116  \n\n6 Ave & W 33 St                 =>   Broadway & W 37 St                 49/93   \n\nW 37 St & 5 Ave                 =>   E 40 St & 5 Ave                    88/88   \n\nBroadway & W 37 St              =>   Broadway & W 41 St                 66/96   \n\nBroadway & W 36 St              =>   W 37 St & 5 Ave                     6/96   \n\nE 40 St & 5 Ave                 =>   E 43 St & Vanderbilt Ave           80/80   \n\nE 40 St & 5 Ave                 =>   Pershing Square N                   8/110  \n\nBroadway & W 41 St              =>   W 43 St & 6 Ave                    66/96   \n\nE 43 St & Vanderbilt Ave        =>   E 47 St & Park Av                  80/86   \n\nPershing Square N               =>   E 39 St & 3 Ave                     8/106  \n\nW 43 St & 6 Ave                 =>   W 44 St & 5 Ave                    66/101  \n\nE 47 St & Park Av               =>   E 45 St & 3 Ave                    80/87   \n\nE 39 St & 3 Ave                 =>   E 39 St & 2 Ave                     8/84   \n\nW 44 St & 5 Ave                 =>   W 49 St & 5 Ave                    66/83   \n\nE 45 St & 3 Ave                 =>   E 47 St & 2 Ave                    78/79   \n\nE 45 St & 3 Ave                 =>   E 43 St & 2 Ave                     2/71   \n\nE 39 St & 2 Ave                 =>   E 43 St & 2 Ave                     8/78   \n\nW 49 St & 5 Ave                 =>   E 53 St & Madison Ave              66/74   \n\nE 47 St & 2 Ave                 =>   E 47 St & 1 Ave                    78/78   \n\nE 43 St & 2 Ave                 =>   E 47 St & 1 Ave                    10/70   \n\nE 53 St & Madison Ave           =>   E 53 St & Lexington Ave            66/69   \n\nE 53 St & Lexington Ave         =>   E 52 St & 2 Ave                    66/69   \n\nE 52 St & 2 Ave                 =>   E 51 St & 1 Ave                    66/70   \n\nE 51 St & 1 Ave                 =>   E 47 St & 1 Ave                    66/66   \n\n"
      }
     ],
     "prompt_number": 243
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "print 'start: {}'.format(start_station)\nprint 'target: {}'.format(end_station)\nprint 'maxflow = {}'.format(maxflow.value())",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": "start: Broadway & Battery Pl\ntarget: E 47 St & 1 Ave\nmaxflow = 154.0"
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": "\n"
      }
     ],
     "prompt_number": 183
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 69
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "",
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}