{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## algorithm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def ford_fulkerson(graph, source, sink, debug=None):\n",
    "    flow, path = 0, True\n",
    "    \n",
    "    while path:\n",
    "        # search for path with flow reserve\n",
    "        path, reserve = depth_first_search(graph, source, sink)\n",
    "        flow += reserve\n",
    "\n",
    "        # increase flow along the path\n",
    "        for v, u in zip(path, path[1:]):\n",
    "            if graph.has_edge(v, u):\n",
    "                graph[v][u]['flow'] += reserve\n",
    "            else:\n",
    "                graph[u][v]['flow'] -= reserve\n",
    "        \n",
    "        # show intermediate results\n",
    "        if callable(debug):\n",
    "            debug(graph, path, reserve, flow)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def depth_first_search(graph, source, sink):\n",
    "    undirected = graph.to_undirected()\n",
    "    explored = {source}\n",
    "    stack = [(source, 0, undirected[source])]\n",
    "    \n",
    "    while stack:\n",
    "        v, _, neighbours = stack[-1]\n",
    "        if v == sink:\n",
    "            break\n",
    "        \n",
    "        # search the next neighbour\n",
    "        while neighbours:\n",
    "            u, e = neighbours.popitem()\n",
    "            if u not in explored:\n",
    "                break\n",
    "        else:\n",
    "            stack.pop()\n",
    "            continue\n",
    "        \n",
    "        # current flow and capacity\n",
    "        in_direction = graph.has_edge(v, u)\n",
    "        capacity = e['capacity']\n",
    "        flow = e['flow']\n",
    "\n",
    "        # increase or redirect flow at the edge\n",
    "        if in_direction and flow < capacity:\n",
    "            stack.append((u, capacity - flow, undirected[u]))\n",
    "            explored.add(u)\n",
    "        elif not in_direction and flow:\n",
    "            stack.append((u, flow, undirected[u]))\n",
    "            explored.add(u)\n",
    "\n",
    "    # (source, sink) path and its flow reserve\n",
    "    reserve = min((f for _, f, _ in stack[1:]), default=0)\n",
    "    path = [v for v, _, _ in stack]\n",
    "    \n",
    "    return path, reserve"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "graph = nx.DiGraph()\n",
    "graph.add_nodes_from('ABCDEFGH')\n",
    "graph.add_edges_from([\n",
    "    ('A', 'B', {'capacity': 4, 'flow': 0}),\n",
    "    ('A', 'C', {'capacity': 5, 'flow': 0}),\n",
    "    ('A', 'D', {'capacity': 7, 'flow': 0}),\n",
    "    ('B', 'E', {'capacity': 7, 'flow': 0}),\n",
    "    ('C', 'E', {'capacity': 6, 'flow': 0}),\n",
    "    ('C', 'F', {'capacity': 4, 'flow': 0}),\n",
    "    ('C', 'G', {'capacity': 1, 'flow': 0}),\n",
    "    ('D', 'F', {'capacity': 8, 'flow': 0}),\n",
    "    ('D', 'G', {'capacity': 1, 'flow': 0}),\n",
    "    ('E', 'H', {'capacity': 7, 'flow': 0}),\n",
    "    ('F', 'H', {'capacity': 6, 'flow': 0}),\n",
    "    ('G', 'H', {'capacity': 4, 'flow': 0}),\n",
    "])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "layout = {\n",
    "    'A': [0, 1], 'B': [1, 2], 'C': [1, 1], 'D': [1, 0],\n",
    "    'E': [2, 2], 'F': [2, 1], 'G': [2, 0], 'H': [3, 1],\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def draw_graph():\n",
    "    plt.figure(figsize=(12, 4))\n",
    "    plt.axis('off')\n",
    "\n",
    "    nx.draw_networkx_nodes(graph, layout, node_color='steelblue', node_size=600)\n",
    "    nx.draw_networkx_edges(graph, layout, edge_color='gray')\n",
    "    nx.draw_networkx_labels(graph, layout, font_color='white')\n",
    "\n",
    "    for u, v, e in graph.edges(data=True):\n",
    "        label = '{}/{}'.format(e['flow'], e['capacity'])\n",
    "        color = 'green' if e['flow'] < e['capacity'] else 'red'\n",
    "        x = layout[u][0] * .6 + layout[v][0] * .4\n",
    "        y = layout[u][1] * .6 + layout[v][1] * .4\n",
    "        t = plt.text(x, y, label, size=16, color=color, \n",
    "                     horizontalalignment='center', verticalalignment='center')\n",
    "        \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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egifEatVcgr7m622A/3Sn+/74Z9475ZTfejZnv7KMZXvh+5EBiCyK8LrV52a55EH4doyb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\nsGtGngAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a328240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_graph()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## run"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def flow_debug(graph, path, reserve, flow):\n",
    "    print('flow increased by', reserve, \n",
    "          'at path', path,\n",
    "          '; current flow', flow)\n",
    "    draw_graph()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "flow increased by 1 at path ['A', 'D', 'G', 'H'] ; current flow 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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GzVRRNe44fIN8R7Jvos+kGlgEnDp+9PArcg1Munjtg2/WX4TXaH1QRcGlGIo0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\nJAEGY0mSJAkwGEuSJEmAwViSJEkC4P/d/fZzzqu0AwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a41a898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "flow increased by 6 at path ['A', 'D', 'F', 'H'] ; current flow 7\n"
     ]
    },
    {
     "data": {
      "image/png": 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wkYfhG+Q70vAm+vrMAqYDx44aNvjCXAOzLl474Zv1p+M1Wu9WUXAphiLN8RXw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\ns35L5gvFUwpuI16MdGTrDbbZBEFAPG3i7iG3VU4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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a6c2128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "flow increased by 1 at path ['A', 'C', 'G', 'H'] ; current flow 8\n"
     ]
    },
    {
     "data": {
      "image/png": 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oS77cEHhqERbZFf/Me72GmqtP4ZTnZjBjO3w/MgDBQsDrVp+a55J74tsxrixi2CLzTImx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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a92ca58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "flow increased by 4 at path ['A', 'C', 'E', 'H'] ; current flow 12\n"
     ]
    },
    {
     "data": {
      "image/png": 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d9mO/TYYydL6xwULA61afWeCS++CdD0eWIl6RYlFiLNIAZrYyvnqyO/B3YC21apZqkTWe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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a93d198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "flow increased by 3 at path ['A', 'B', 'E', 'H'] ; current flow 15\n"
     ]
    },
    {
     "data": {
      "image/png": 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ddlldvKRSyjjHl8c/GHYHrgPOUeMZKbVyzW+R+jCzpfGDxYfiyWo+PwCX4KVX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\nMRhLIo7jCwm7WFx5gBHURdNojTp/MP+hW+cw5rg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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ade74a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "flow increased by 0 at path [] ; current flow 15\n"
     ]
    },
    {
     "data": {
      "image/png": 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ddlldvKRSyjjHl8c/GHYHrgPOUeMZKbVyzW+R+jCzpfGDxYfiyWo+PwCX4KVX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\nxpIkSRIA/wfKzy6c4SzuSwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b064518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ford_fulkerson(graph, 'A', 'H', flow_debug)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}