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@miyamoto-yuichiro
Created June 28, 2017 10:35
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 最小全域木"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"最小全域木問題を解いてみる."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"まず,描画などのためにNetworkXとMatplotlibをそれぞれimportする."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import networkx as nx\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"最小全域木問題の問題例として頂点集合$\\{1,2,3,4,5\\}$,枝集合$\\{\\{1,2\\}, \\ \\{1,4\\}, \\ \\{2,3\\}, \\ \\{2,4\\}, \\ \\{2,5\\}, \\ \\{3,5\\}, \\ \\{4,5\\}\\}$の無向グラフを用意する.\n",
"\n",
"枝にはweightも付加する.\n",
"また,描画のため,頂点には座標を付加する."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"G = nx.Graph()\n",
"G.add_node(1, position=(0, 1))\n",
"G.add_node(2, position=(1, 2))\n",
"G.add_node(3, position=(3, 2))\n",
"G.add_node(4, position=(1, 0))\n",
"G.add_node(5, position=(3, 0))\n",
"G.add_edge(1, 2, weight=2)\n",
"G.add_edge(1, 4, weight=1)\n",
"G.add_edge(2, 3, weight=3)\n",
"G.add_edge(2, 4, weight=1)\n",
"G.add_edge(2, 5, weight=5)\n",
"G.add_edge(3, 5, weight=4)\n",
"G.add_edge(4, 5, weight=3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"なお,この問題例は\n",
"\n",
"久保幹雄,組合せ最適化とアルゴリズム,共立出版,2000年.\n",
"\n",
"の図1.8からの引用である."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"枝重み付き無向グラフを描画する関数を以下に定義する."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def draw_graph_with_weight(G, node_position, title='A network', with_labels=True):\n",
" plt.title(title)\n",
" nx.draw_networkx(G, pos=node_position, with_labels=with_labels, node_color='w')\n",
" weight = nx.get_edge_attributes(G, 'weight')\n",
" edge_labels = nx.draw_networkx_edge_labels(G, pos=node_position, edge_labels=weight)\n",
" return"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"先程用意した問題例のグラフを描画して確認する."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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cTFFRUYQiim+5ubns2rULkYpHsklJSSxdutShqLyntLSU+vXrIyLccccddOrU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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a02efd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"node_position = nx.get_node_attributes(G, 'position')\n",
"draw_graph_with_weight(G, node_position, 'An instance of the minimum spanning tree problem')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"NetworkXには最小全域木問題を解いてくれる関数minimum_spanning_treeが用意されているので,それを使ってみる.\n",
"\n",
"なお,この関数[minimum_spanning_tree](http://networkx.readthedocs.io/en/stable/reference/generated/networkx.algorithms.mst.minimum_spanning_tree.html#networkx.algorithms.mst.minimum_spanning_tree)ではKruskalのアルゴリズムが使われているようだ."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"mst = nx.minimum_spanning_tree(G)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<networkx.classes.graph.Graph at 0x10a0becf8>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mst # 最適解を確認する."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"NetworkXの関数minimum_spanning_treeは最適解をGraph形式で返す.\n",
"\n",
"描画して確認する."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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OnDA6JCIiIiIin8fOK3lVY2Mj7r77bjz66KMoKSnBggULICJGh+VxYWFhKCkp\nwbRp0xAZGYni4mKjQyIiIiIi8mnsvJLXVFVV4dprr8XQoUNRUVGBq666yuiQ+lVAQACysrJQUFCA\ntLQ0LFq0COfOnTM6LCIiIiIin8TOK/U7pRRycnKQkJCA7Oxs5OXlISgoyOiwvCY2NhbV1dWoqanB\n1KlTUVtba3RIREREREQ+h51X6ld1dXVITEzEpk2bUFZWhlmzZhkdkiFGjRqFwsJC2O12TJkyBZs3\nbzY6JCIiIiIin8LOK/WbnTt3wmazYeLEidi1axfCw8ONDslQIoL09HQUFxdj6dKlSEtLw9mzZ40O\ni4iIiIjIJ7DzSh7X3NyM5cuXY/bs2diwYQMee+wxDB482OiwTCMyMhKVlZVoampCVFQUDhw4YHRI\nRERERESmx84redSxY8cwY8YM7N69G5WVlYiPjzc6JFMKDg5Gfn4+Fi9ejOnTp+OZZ56BUsrosIiI\niIiITIudV/KYwsJCREVFISEhAdu3b8ell15qdEiml5qaij179iA3NxczZ85EQ0OD0SEREREREZkS\nO6/UZ01NTcjIyEB6ejq2bt2KJUuWYMAA/rTcFRERgbKyMowZMwY2mw179+41OiQiIiIiItNhD4P6\nxOFw4LrrrsPx48dRXV2N66+/3uiQfFJgYCBycnKwbt06JCUlYdWqVWhpaTE6LCIiIiIi02DnlXot\nPz8fN9xwA+bNm4ctW7Zg5MiRRofk8xITE1FZWYlt27YhPj4eJ06cMDokIiIiIiJTYOeVekwphfT0\ndDz66KMoKSnBggULICJGh2UZYWFhKCkpwbRp0xAZGYni4mKjQyIiIiIiMpx44g6nIvIcgFsBnFRK\nXe1keiyA1wDU6h9tVUqtdLEsxbuuGm/r1q346KOPYLPZMH369A7Tvv32Wxw7dgyjR49GUFCQQRH2\njoj41F19d+7cCbvdjuTkZDzyyCN85BB5ja/VFVf07fDLo2vMzeQrrNLeEJF7+pKbPXXm9XkA3T0T\n5R2lVKT+cpocyRz+/d//HX/4wx/Q3NyMhQsX4vXXX+8wfdCgQRg/frzPdVx9UWxsLKqrq1FTU4Op\nU6eitra2+5mIiDTMzUREZCke6bwqpXYD6O4ZH3555NvXlJaW4tSpU9i9ezcyMzNx7733Yv369UaH\n5ddGjRqFwsJC2O12TJkyBZs3bzY6JCLyAczNRERkNd685vU6EXlPRN4QkUleXC/1QExMDP7zP/8T\ngYGBAIAAODenAAAgAElEQVS77roLQUFB+Prrrzmkx0AigvT0dBQXF2Pp0qVIS0vD2bNnjQ6LiHwf\nczMREfmMgV5aTyWAsUqpsyLyCwB/BRDhqvDy5cvP/x0XF4e4uLj+jo90Q4cOxdixY8+/P3z4ML74\n4gsMHjyYN2UygcjISFRWVuL+++9HVFQUNm/ejKuuusrosIhMo7S0FKWlpUaH4SuYm4mIqN95Mjd7\n5IZNACAi4wC87uymEE7KfgTgWqVUvZNpvCmECSilICL4y1/+grfffhtPPvkkXnvtNQQGBiIhIcHo\n8HrNSjeFyM/Px8KFC5GdnY358+fz4AJ5lFXqij/fsAlgbibfYJX2hojcY4YbNgHadTNOgxCR0e3+\nngyt03xBciTzaOsIDRkyBAEBAVi8eDGWLVvW4awsGSs1NRV79uxBbm4uZs6ciYaG7i5tIyI/xNxM\nRESW4ZHOq4hsArAXQISIHBWRuSIyX0Tm6UXuFJH/FZFqAE8AmOWJ9ZLnNDU1weFwoKmpqcPnVVVV\nWL9+PZqbm1FRUYFJk3hJlJlERESgrKwMY8aMgc1mw969e40OiYhMgrmZiIisxmPDhj2FQ5O8z+Fw\nIDk5GT/96U/x3HPPYcCA745p7N+/HzU1NUhNTTUwQs+x8tCkwsJCpKWlISMjA5mZmQgICDA6JPJh\nVqkr/j5s2FOYm6k/WaW9ISL39CU3s/Pq59qum1y5ciXmzZtn+esmrZ4gjx07hrvuuguDBg3Cxo0b\ncemllxodEvkoq9QVdl49g7mZ+pNV2hsico9ZrnklH9LY2Ii7774bjz76KEpKSnjDH4sICwtDSUkJ\npk2bhsjISBQXFxsdEhERERGRR7Dz6oeqqqpw7bXXYujQoaioqOCjViwmICAAWVlZKCgoQFpaGhYt\nWoRz584ZHRYRERERUZ+w8+pHlFLIyclBQkICsrOzkZeXh6CgIKPDon4SGxuL6upq1NTUYOrUqait\nrTU6JCIiIiKiXmPn1U/U1dUhMTERmzZtQllZGWbN4k0l/cGoUaNQWFgIu92OKVOmYPPmzUaHRERE\nRETUK+y8+oGdO3fCZrNh4sSJ2LVrF8LDw40OibxIRJCeno7i4mIsXboUaWlpOHv2rNFhERERERH1\nCDuvFtbc3Izly5dj9uzZ2LBhAx577DEMHjzY6LDIIJGRkaisrERTUxOioqJw4MABo0MiIiIiInIb\nO68WdezYMcyYMQO7d+9GZWUl4uPjjQ6JTCA4OBj5+flYvHgxpk+fjqeffpqPJyAiIiIin8DOqwUV\nFhYiKioKCQkJ2L59O5/1SRdITU3Fnj17kJeXhzvvvBMNDQ1Gh0RERERE1CV2Xi2kqakJGRkZSE9P\nx9atW7FkyRIMGMB/MTkXERGBsrIyhIWFwWazYe/evUaHRERERETkEns2FuFwOHDdddfh+PHjqK6u\nxvXXX290SOQDAgMDkZOTg3Xr1iEpKQmrVq1CS0uL0WEREREREV2AnVcLyM/Pxw033ID58+djy5Yt\nGDlypNEhkY9JTExEZWUltm3bhvj4eJw4ccLokIiIiIiIOmDn1Yc1Njbi7rvvxqOPPoqSkhLMnz8f\nImJ0WOSjwsLCUFJSgmnTpiEyMhLFxcVGh0REREREdB47rz6qqqoK1157LYYOHYqKigpcddVVRodE\nFhAQEICsrCwUFBQgLS0NixYtwrlz54wOi4iIiIiInVdfo5RCTk4OEhISkJ2djby8PAQFBRkdFllM\nbGwsqqurUVNTg6lTp6K2ttbokIiIiIjIz7Hz6kPq6uqQmJiITZs2oaysDLNmzTI6JLKwUaNGobCw\nEHa7HVOmTMHmzZuNDomIiIiI/Bg7rz5i586dsNlsmDhxInbt2oXw8HCjQyI/ICJIT09HcXExli5d\nirS0NJw9e9bosIiIiIjID7HzanLNzc1Yvnw5Zs+ejQ0bNuCxxx7D4MGDjQ6L/ExkZCQqKyvR1NSE\nqKgoHDhwwOiQiIiIiMjPsPNqYseOHcOMGTOwe/duVFZWIj4+3uiQyI8FBwcjPz8fixcvxvTp0/H0\n009DKWV0WERERETkJ9h5NanCwkJERUUhISEB27dvx6WXXmp0SEQAgNTUVOzZswd5eXm488470dDQ\nYHRIREREROQH2Hk1maamJmRkZCA9PR1bt27FkiVLMGAA/01kLhERESgrK0NYWBhsNhv27t1rdEhE\nREREZHHsFZmIw+HAddddh+PHj6O6uhrXX3+90SERuRQYGIicnBysW7cOSUlJWLVqFVpaWowOi4iI\niIgsip1Xk8jPz8cNN9yA+fPnY8uWLRg5cqTRIRG5JTExEZWVldi2bRvi4+Nx4sQJo0MiIiIiIgsa\naHQAVnLq1Cnk5+fD4XDgzJkzGDZsGCIiIjBnzhyEhIQ4naexsRH33XcfKisrUVJSgquuusrLURP1\nXVhYGEpKSrBy5UpERkbi+eefR0JCgtFhERH1KjcTEZE58cyrB5SXl8Nut2PChAk4dOgQIiMjccst\ntyAyMhIffPABIiIiYLfbUV5e3mG+qqoqXHvttRg6dCgqKirYcSWfFhAQgKysLBQUFCAtLQ2LFi3C\nuXPnjA6LiPxUb3MzERGZmFLKVC8tJN+Rm5urQkND1dq1a1V9fb3TMvX19WrNmjUqNDRU5ebmqtbW\nVvXEE0+okJAQVVBQ4OWI/dvvf/97o0PwC6dPn1a33nqrio6OVh9++KHR4VAvWKWu6DnF8Nzm6y9/\nyM1kHKu0N0Tknr7kZtHmNw8RUWaLyZW8vDysXr0a27ZtwxVXXNFt+SNHjuDnP/85goODMWTIELz8\n8ssIDw/3QqTUprW1lXdv9hKlFNavX4+VK1di/fr1mDVrltEhUQ9Ypa6ICJRSYnQcvs7quTk+Ph6Z\nmZmYN2+eFyKkzqzS3hCRe/qSm9lS9FJ5eTmysrIuSI5PPfUUoqOjMWTIEPzqV7/qMM8VV1yB7du3\n4/jx43jiiSfYcTUAk6P3iAjS09NRXFyMpUuX4te//jWam5tdlv/yyy+xdetWL0ZIXWFdIV/U29y8\nbds2ZGVloaKiwtshE9jeEJH7PNJaiMhzInJSRN7vosw6ETksIu+JyDWeWK+RcnJykJmZecFR3TFj\nxmDp0qW49957nc53xRVX4KGHHsIf//hHb4RJZLjIyEhUVlZi8uTJXV4DO2vWLKSmpmL+/Pm8VpbI\nA5ibv+NObn7wwQeRk5PjjTCJiKiXPHWo63kA8a4misgvAFyulPoRgPkAnvHQeg1x6tQpvPHGG5gz\nZ84F0+644w4kJibikksucTn/nDlzUFRUhNOnT/dnmESmERwcjHnz5iEoKMjp9EceeQQDBw5EY2Mj\ngoODYbPZ8Omnn3o5SiLLYW7WMTcTEVmDRzqvSqndABq6KHI7gHy97D4AF4vIaE+s2wj5+flISkrq\n9bNYL7nkEiQlJSE/P9/DkRH5nlOnTiE3NxcTJ06EiOC//uu/kJubix/84AdGh0bk05ibe4a5mYjI\n/Lx1kcEYAJ+0e39c/8wnORwOTJ48uU/LiI6OhsPh8FBE5I6UlBSnn+/evdvlUDLqf9///vdRVFSE\nAwcO4MEHH0RrayumTp1qdFh+73e/+x3eeOMNo8Og/sXc3Alzs/cxNxNRTww0OgBnli9ffv7vuLg4\nxMXFGRaLM2fOnEFwcHCflhEcHIzGxkYPRUTuKC0txT//+U+IdLy52bBhw1BUVGRQVP7r7Nmz54cR\nX3311fjTn/6EBQsW4MyZMxg+fLjB0dGLL76IL7/8En/605+wdu1ahIWFGR2SW0pLS1FaWmp0GJbE\n3Ez9gbmZyPo8mZu91Xk9DuCydu/D9M+cap8gzWjYsGF9Tm5t1/aR93z22We47bbbLkiQADB6tM+O\nlPNZW7ZsQVFREQoKChAQEIC3334bAwcOxODBg40OjQAMHDgQTz75JN577z3MnTsXN998MzIyMkx/\nV9DOnaoVK1YYF4z5MTd3wtzsfczNRNbnydzsyc6r6C9nCgHcD2CziEwB8LlS6qQH1+1VERER2L9/\nPxYsWHDBtJaWFnz77bdoaWlBc3MzmpqaMHDgQAQEBHQoV15ejh//+MfeCpmgJcEDBw4YHQbp5syZ\ng6qqKtxwww2YMWMG3n//fdx8880IDAw0OjS/tnPnTgDA119/jdLSUogIHnroIWzYsAFRUVGoqqoy\nOELqIeZmMDebGXMzEfWEeOKh4yKyCUAcgO8BOAkgC8BgAEoplaeXeRJAAoCvAMxVSjndA/KFB6Gf\nOnUKEyZMQG1t7QU3hlixYgVWrFjR4QhiVlYWli1bdv59fX09Lr/8cjgcDoSEhHgtbn/3/PPPY+7c\nuUaHQZ28/vrr+PDDDzF58mRER0dj0KBBaGpqgojwLKwBEhMTAQAlJSW46aabLjgbUlhYaERYvdaX\nB6H7Oubm7zA3mxdzM5H/6Utu9kjn1ZN8IUECgN1uR1RUFH7729/2eN41a9aguroaGzdu7IfIiHyb\nUgqPP/44XnnlFRQUFCA8PNzokPxSamqqJe666s+dV09ibiYiIk/pS24298VLJpaRkYHVq1fjyJEj\nPZrvyJEjePjhhzFmzBj4wo4AkbeJCBYuXAi73Y4pU6agoKDA6JD8khU6ruR/+pqbx44dy9xMRGRi\n7Lz2UnR0NFasWIH4+Hi3k+SRI0cQHx+PhQsXYvv27bjzzjvR0NDVI/jI0+rr640OgdwgIkhPT0dx\ncTGWLVuGX//61/jqq6+MDsuvsK6QL+pLbv6P//gPFBUVITk5GV988UU/R0rtsb0hInex89oH8+bN\nQ2ZmJqZNm4a1a9e67IjW19djzZo1mDZtGjIzM7F06VK8++67uOyyy2Cz2bB3714vR+6/vve97xkd\nAvVAZGQkKisrce7cOURHR/OmHl7EukK+qre5edmyZdi3bx9CQkJgs9mwb98+L0fuv9jeEJG7eM2r\nB1RUVCAnJwdFRUVISkpCdHT0+WfFlZeX49VXX8Wtt96KjIwMREVFdZi3sLAQ8+bNQ3p6OjIzMy+4\n8yF5lj7G3ugwqBfy8/OxcOFCPPzww1iwYIHTxyqQ51ilrvCaV8/wt9z86quvYsGCBVi4cCEeeOAB\n0z8iytdZpb0hIvfwhk0mcfr0aeTn58PhcJx/VlxERARSU1O7vHPhsWPHcNddd2HQoEHYuHEjLr30\nUi9G7V+YIH2bw+HArFmzEB4ejg0bNlxwR1HyHKvUFXZePcMfc/PRo0eRkpKCiy66CPn5+XzmaD+y\nSntDRO5h59UCWlpasHLlSjzzzDN4/vnnkZCQYHRIlsQE6fuamprw4IMP4rXXXsOmTZtw/fXXGx2S\nJVmlrrDz6hn+mpubm5uxYsUKPPfcc3jhhRfwL//yL0aHZElWaW+IyD3svFrIzp07YbfbkZycjEce\neYTPufQwJkjrKCwsRFpaGjIyMjjkvh9Ypa6w8+oZ/p6bS0pKkJqaCrvdjuzsbAwaNMjokCzFKu0N\nEbmHnVeLqaurw9y5c3Hy5Ek+59LDmCCthUPu+49V6go7r57B3KwNP54zZw4aGhqwadMmjB8/3uiQ\nLMMq7Q0RuYfPebWYUaNGobCwEHa7HTExMXzOJZELYWFhKCkpwbRp0xAZGYni4mKjQyIiiwoJCUFR\nURFmzpyJmJgYbNmyxeiQiIj8Ds+8mlx1dTVmzZqFG2+8ETk5ObjooouMDsmn8eiudXHIvWdZpa7w\nzKtnMDd3VFFRgeTkZPzsZz/D2rVrMXToUKND8mlWaW+IyD0882phNpsNlZWV+Pbbb/mcS6IuxMbG\norq6GjU1NZg6dSpqa2uNDomILCoqKgpVVVVobGxEdHQ0Dh48aHRIRER+gZ1XHxAcHIwXXngBixcv\nxvTp0/H000/zCCWRExxyT0TeMnz4cLz44ot44IEHEBcXh2effZa5mYion3HYsI9xOBxITk7G+PHj\n+ZzLXuDQJP9RVVWF5ORkDrnvJavUFQ4b9gzm5q7V1NRg1qxZuPLKK5GXl4eLL77Y6JB8ilXaGyJy\nD4cN+5GIiAi8++67uOyyy2Cz2bB3716jQyIypcjISFRWVuLcuXMcck9E/erKK6/Evn37EBISApvN\nhn379hkdEhGRJbHz6oMCAwPxxBNPYN26dfjlL3+JVatWoaWlxeiwiEwnODgY+fn5HHJPRP1uyJAh\nePLJJ/H4448jMTERq1evRmtrq9FhERFZCocN+zg+57JnODTJfzkcDsyaNQvh4eEccu8Gq9QVDhv2\nDObmnjl69ChSUlIQFBSEjRs3YvTo0UaHZGpWaW+IyD0cNuzH+JxLIvdERESgrKwMYWFhHHJPRP1q\n7NixKC0tRUxMDGw2G3bs2GF0SERElsAzrxbC51x2j0d3CQAKCwuRlpaGjIwMZGZmIiAgwOiQTMcq\ndYVnXj2Dubn3SkpKkJqaCrvdjuzsbAwaNMjokEzHKu0NEbmnL7mZnVeLqaurw9y5c3Hy5EkUFBQg\nPDzc6JBMhQmS2nDIfdesUlfYefUM5ua+OX36NObMmYOGhgZs2rQJ48ePNzokU7FKe0NE7uGwYTqP\nz7kkcg+H3BORt4SEhKCoqAgzZ85ETEwMtmzZYnRIREQ+iWdeLYzPubwQj+6SMxxyfyGr1BWeefUM\n5mbPKS8vx+zZs/Gzn/0Ma9euxdChQ40OyXBWaW+IyD0880pO8TmXRO6JjY1FdXU1ampqMHXqVNTW\n1hodEhFZVHR0NKqqqtDY2Ijo6GgcPHjQ6JCIiHwGO68Wx+dcErmHQ+6JyFuGDx+OF198EQ888ADi\n4uLw7LPPMjcTEbmBw4b9iMPhQHJyMsaPH++3z7nk0CRyB4fcW6eucNiwZzA395+amhrMmjULEyZM\nQF5eHkaMGGF0SF5nlfaGiNzDYcPkloiICLz77ru47LLL+JxLoi5wyD0RecuVV16Jffv24fvf/z5s\nNhvKysqMDomIyLTYefUzgYGBeOKJJ7Bu3Tr88pe/xKpVq9DS0mJ0WESmwyH3ROQtQ4YMwZNPPok1\na9bg9ttvx+rVq9Ha2mp0WEREpsNhw37MH59zyaFJ1BsOhwOzZs1CeHi43wy5t0pd4bBhz2Bu9p6j\nR48iJSUFQUFB2LhxI0aPHm10SP3OKu0NEbmHw4apV3r6nMtz5855KTIic4mIiEBZWRnCwsI45J6I\n+tXYsWNRWlqKmJgY2Gw27Nixo8vyzM1E5E880nkVkQQRqRERh4hkOpkeKyKfi0iV/vq9J9ZLfRcQ\nEICsrCwUFBRg165daGpqclquqakJqampeOqpp7wcIZE5BAYGIicnB+vWrUNSUhKH3JPpMTf7roED\nByI7Oxsvvvgidu/ezdxMRKTr87BhERkAwAFgBoBPAZQDSFZK1bQrEwtgoVIq0Y3lcWiSQZRSEHF+\nBv/06dMoLy/HHXfcgby8PNxzzz3eDc5DODSJPMEfhtxbpa7467Bh5mbrYG4mIqsxetjwZACHlVIf\nK6W+BVAA4HYn5fxu58HXuEqOABASEoLm5mZcddVVuO2227wYFZH59HTIPZEBmJstgrmZiOg7nui8\njgHwSbv3x/TPOrtORN4TkTdEZJIH1kte9MEHHyArKwsrV67E9773PQ6XJL/Xfsh9WloaFi1axGvP\nyEyYm/0AczMR+ZuBXlpPJYCxSqmzIvILAH8FEOGq8PLly8//HRcXh7i4uP6Oj7rwxRdfYMmSJbjl\nllvwi1/8AoC2405EQGxsLKqrqzF37lxMnToVBQUFCA8PNzosv1VaWorS0lKjw/AVzM0+jLmZiHyF\nJ3OzJ655nQJguVIqQX+/GIBSSq3uYp6PAFyrlKp3Mo3X1ZjEvn37EBMTg1WrVmHXrl146623AACt\nra0YMMA3b1TN62qovyilsH79emRnZ2P9+vVITk42OqQ+sUpd8eNrXpmbLYq5mYh8XV9ysyc6rwEA\n/gHtphAnAOwHMFspdahdmdFKqZP635MBvKKU+qGL5TFBmsCZM2dwxx134PPPP0dTUxP279+PoUOH\noqWlxaeP7DJBUn+rqqpCcnIybrzxRuTk5OCiiy4yOqResUpd8ePOK3OzBTE3E5EVGHrDJqVUC4Df\nANgO4CCAAqXUIRGZLyLz9GJ3isj/ikg1gCcAzOrreql/DRs2DH/7298wZcoU1NbWoqGhAcB3Q5Ka\nm5uNDI/ItCIjI1FZWYlz584hOjoaBw4cMDok8kPMzdbE3ExE/q7PZ149jUd3zefPf/4zzp49i5SU\nFAwcOBDNzc1IS0vDj370I2RmZvrU0V4e3SVvys/Px8KFC/Hwww9jwYIFXd411GysUlf89cyrpzE3\nm4+z3Dx37lz85Cc/waJFi3xqCLFV2hsico+hw4Y9jQnSnDpfS+Orz7lkgiRvczgcmDVrFsLDw7Fh\nwwaMHDnS6JDcYpW6ws6rZzA3m1Pn3Hz06FGkpKQgKCgIGzduxOjRow2Mzn1WaW+IyD1GP+eV/EDn\nI7h8ziWReyIiIlBWVoawsDDYbDbs3bvX6JCIyCI65+axY8eitLQUMTExsNls2LFjh0GRERH1D555\npT7buXMn7HY7kpOT8cgjj2Dw4MFGh+QSj+6SkQoLC5GWloaMjAzTD7m3Sl3hmVfPYG72PSUlJUhN\nTYXdbkd2djYGDRpkdEguWaW9ISL3cNgwGa6urg5z587FyZMnTf2cSyZIMpqvDLm3Sl1h59UzmJt9\n0+nTpzFnzhw0NDRg06ZNGD9+vNEhOWWV9oaI3MNhw2S4UaNGobCwEHa7HTExMSgoKDA6JCJT6jzk\nvu0ZjUREnhYSEoKioiLMnDkTMTEx2LJli9EhERH1Cc+8kseZ+TmXPLpLZmLmIfdWqSs88+oZzM2+\nr7y8HLNnz8aMGTOwdu1aBAUFGR3SeVZpb4jIPTzzSqbC51wSuSc2NhbV1dWoqanB1KlTUVtba3RI\nRGRR0dHRqKqqQmNjIyZPnoyDBw8aHRIRUY+x80r9Ijg4GPn5+Vi8eDGmT5+Op59+mkdViZzgkHsi\n8pbhw4fjpZdewsKFCxEbG4u8vDzmZiLyKRw2TP3OTM+55NAkMjMzDbm3Sl3hsGHPYG62nkOHDiE5\nORkTJkxAXl4eRowYYVgsVmlviMg9HDZMpsbnXBK5h0PuichbJk6ciLKyMoSEhMBms6GsrMzokIiI\nusXOK3lFYGAgcnJysG7dOiQlJWHVqlVoaWkxOiwi0+GQeyLylqFDh+Kpp57CmjVrkJiYiNWrV6O1\ntdXosIiIXOKwYfI6I59zyaFJ5EuMHHJvlbrCYcOewdxsfR9//DHuuusuBAUFYePGjRg9erTX1m2V\n9oaI3MNhw+RTOj/nsri42OiQiEyJQ+6JyFvGjRuH0tJSxMTEwGazYceOHUaHRER0AZ55JUN5+zmX\nPLpLvqqwsBBpaWnIyMhAZmYmAgIC+nV9VqkrPPPqGczN/qWkpASpqamw2+3Izs7GoEGD+nV9Vmlv\niMg9fcnN7LyS4erq6jB37lycPHkSBQUFCA8P77d1MUGSL2sbcj9w4EC8+OKL/Trk3ip1hZ1Xz2Bu\n9j+nT5/GnDlz0NDQgE2bNmH8+PH9ti6rtDdE5B4OGyafxudcErmnbcj9jTfeiMjISLz11ltGh0RE\nFhUSEoKioiLMnDkTMTEx2LJli9EhERHxzCuZS38/55JHd8kq+nvIvVXqCs+8egZzs38rLy/H7Nmz\nMWPGDKxduxZBQUEeXb5V2hsicg/PvJJl8DmXRO6JjY1FdXU1ampqMHXqVNTW1hodEhFZVHR0NKqq\nqtDY2IjJkyfj4MGDRodERH6KnVcyHT7nksg9HHJPRN4yfPhwvPTSS1i4cCFiY2ORl5fH3ExEXsdh\nw2Rqnn7OJYcmkVV5esi9VeoKhw17BnMztXfo0CEkJydjwoQJyMvLw4gRI/q0PKu0N0TkHg4bJsvi\ncy6J3MMh90TkLRMnTkRZWRlCQkJgs9lQVlZmdEhE5CfYeSXTCwwMRE5ODtatW4ekpCSsWrUKLS0t\nRodFZDocck9E3jJ06FA89dRTWLNmDRITE7F69Wq0trYaHRYRWRyHDZNPOXbsGFJSUjB48GBs3Lix\nx8+55NAk8hd9HXJvlbrCYcOewdxMXfn444+RkpKCiy66CBs3bsTo0aN7NL9V2hsicg+HDZPfaHvO\n5dSpUxEZGYni4mKjQyIypc5D7vfs2WN0SERkUePGjcPOnTsxefJk2Gw27Nixw+iQiMiieOaVfJa7\nz7k8deoU8vPz4XA48PLLL2P27NmIiIjAnDlzEBIS4uWoibyvsLAQaWlpyMjIQGZmJgICApyWs2Jd\n4ZlXz2BuJneVlJQgNTUVdrsd2dnZGDRokNNyVmxviPpD+7py5swZDBs2zOfrCs+8kl/q7jmX5eXl\nsNvtmDBhAg4dOoTIyEg888wziIyMxAcffICIiAjY7XaUl5cbtAVE3pGYmIjKykps27YNP//5z3Hi\nxIkO01lXiMhTpk+fjurqarz//vuYNm0aPvroow7T2d4QucdZXbnllltYV5RSpnppIRG5r7W1VeXk\n5KhRo0apl19+WSmlVG5urgoNDVVr165V9fX1Tuerr69Xa9asUaGhoSo3N9ebIRMZorm5WS1fvlyF\nhoaqN998Uyll/bqi5xTDc5uvv5ibqadaWlrU448/rkJCQtQrr7yilLJ+e0PkKVavK33JzRw2TJbR\n9pzL0aNH49NPP8W2bdtwxRVXdDvfkSNHEB8fj8zMTMybN88LkRIZq23I/aRJk3DkyBFL1xUOG/YM\n5mbqrfLycsyePRtjxozBsWPHLN3eEHlCXl4eVq9ebem60qfc3Nteb/sXgAQANQAcADJdlFkH4DCA\n9wBc08WyPN25Jz/y9ttvq0suuUQdPnzY6XSHw6GGDBmi7r777g6fHz58WIWGhqry8nJvhElKqW++\n+UZNnjxZXXPNNWrSpElqyZIlRofkV7Zv365Gjhx5QV2JjY1VQ4YMUcHBwWrYsGHqyiuv7DDd1+oK\n/JUOXfIAAA1BSURBVPjMK3MzmUVJSYnL3OwqLyvle+2NFTA3G2v//v0qNDSUubmLV5+veRWRAQCe\nBBAP4McAZovIlZ3K/ALA5UqpHwGYD+CZvq6XyJkNGzZg6dKlLo9U/eY3v8HkyZMv+PyKK67Agw8+\niJycnP4OkXSBgYF4++23z18bVVJSwjvietELL7zgtK6ICP74xz/iyy+/RGNjIw4dOtRhOuuKb2Bu\nJjN57rnn8Pvf/95pbnaVlwG2N0ZgbjZWTk4OMjMzmZu74IkbNk0GcFgp9bFS6lsABQBu71TmdgD5\nAKCU2gfgYhHp2UPAiLpx6tQpvPHGG5gzZ47T6QUFBRg5ciRmzJjhdPqcOXNQVFSE06dP92eY1E5Q\nUBAAoKmpCa2trT1+Fin1Tltdueeee5xOV90MD2Vd8QnMzWQKXbU33eVlgO2NEZibjdHdfixzs8YT\nndcxAD5p9/6Y/llXZY47KUPUJ/n5+UhKSnLayH755ZfIysrCmjVrXFb+Sy65BElJScjPz+/vUEnX\n2toKm82G0NBQxMXFYdKkSUaH5Be6qisAsGTJEnz/+9/HtGnTsHPnzgums674BOZmMgVX7Y07eRlg\ne2ME5mZjMDe7h4/KIctwOBwuhx4tW7YMaWlp+MEPftDlMqKjo+FwOPojPHJiwIABqK6uxrFjx/DO\nO+84bYzJ87qqK4899hhqa2tx/PhxpKWl4bbbbrvgURcA6woRucdVe+NuXgbY3ngbc7MxmJvdM9AD\nyzgOYGy792H6Z53LXNZNmfOWL19+/u+4uDjExcX1NUbyA2fOnEFwcPAFn7/33nv429/+hvfee6/b\nZQQHB2PTpk3Iy8vrjxD91pIlS5CdnY2AgACn04cPH45bbrkFFRUViI2NBQB8/vnnHKrUT4YNG3b+\ne+4sOjr6/N+pqal4+eWX8eabb+L+++/vUC44OBiNjY39GmdvlJaWorS01OgwzIC5mUzBWW7uSV4G\nmJv7y7Jly7BixQqX053l5rq6OoSEhHgrRL/C3OweT3ReywFcISLjAJwAkAxgdqcyhQDuB7BZRKYA\n+FwpddLVAtsnSCJ3DRs2zGmF3blzJz7++GOMHTsWSimcOXMGLS0t+OCDD1BRUdGhbGNjI1JSUpCb\nm+utsP1WXV0dBg0ahIsvvhhff/01duzYgaysrPPTR4wY0e31HdQ78+bNczu56bezv+DzxsZGpweL\njNa5U9XVjpnFMTeTKTjLzT3JywBzszd1l5tHjRrF3NxPmJvd0+dhw0qpFgC/AbAdwEEABUqpQyIy\nX0Tm6WXeBPCRiBwBkAvgvr6ul6iziIgI7N+//4LP58+fjw8//BDvvfce/v73v2PBggW49dZbsX37\n9gvKlpeXIyIiwhvh+r0TJ07gpptugs1mw5QpU5CYmNjlTTvIc1zVlS+++ALbt29HU1MTWlpa8NJL\nL2HXrl1ISEi4oCzrirkxN5NZOGtvepKXAbY33sTcbBzmZveI2Y6e8EHo1FunTp3ChAkTUFtb2+Vw\n0xUrVuDDDz+84IL2+vp6XH755XA4HBwSQ5bmqq7U1dXh5ptvxj/+8Q8EBATgyiuvxMqVKzF9+vQO\n8/tSXenTg9DpPOZm6i13crOrvAz4VntD1BfMzW7Oa7ZkxARJfWG32xEVFYXf/va3PZ537dq1qKqq\nwsaNG/shMiJz8Ze6ws6rZzA3U1/4S3tD1Ff+UlfYeSXSlZeXIzExEbt27XL6MHRXjhw5gmnTpuH1\n119HVFRUP0ZIZA7+UlfYefUM5mbqC39pb4j6yl/qSl9yMx+VQ5YSHR2NFStWID4+HkeOHHFrniNH\njiA+Ph4rVqzwiQpP5AmsK0TkLWxviNzDuuIGpZSpXlpIRH2Tm5urQkND1Zo1a1R9fb3TMp999pl6\n/PHHVWhoqMrNzfVyhETmYPW6oucUw3Obr7+Ym8kTrN7eEHmK1etKX3Izhw2TZVVUVCAnJwdFRUVI\nSkpCdHT0+edflZeX49VXX8Wtt96KjIwM/zhSReSClesKhw17BnMzeYqV2xsiT7JyXeE1r0RdOP3/\n27u/EDnPKo7j319MW6zFEv/0D/0TBYl/QElBolIhvalYEeqFqCDEPyAiiN5ZFaF4I+2NoJdKhaQo\nWoRqIIqp1gheNBZtbG1j0yKpWpoY0FRjvQjmeDGzumzz7ow7uzvPM/v9wMu+u/PMzHM4M3P2zLzz\nPmfOcODAAU6cOPHf9a927drFvn37mj8bm7SZFvG5YvO6PqzNWm+L+HojbYRFfK7YvEqSdBE2r+vD\n2ixJWi+esEmSJEmStNBsXiVJkiRJzbN5lSRJkiQ1z+ZVkiRJktQ8m1dJkiRJUvNsXiVJkiRJzbN5\nlSRJkiQ1z+ZVkiRJktQ8m1dJkiRJUvNsXiVJkiRJzbN5lSRJkiQ1z+ZVkiRJktQ8m1dJkiRJUvNs\nXiVJkiRJzbN5lSRJkiQ1z+ZVkiRJktQ8m1dJkiRJUvNsXiVJkiRJzbN5lSRJkiQ1z+ZVkiRJktQ8\nm1dJkiRJUvO2z3LlJDuA7wE7gZPAB6rq+YuMOwk8D1wAzlfVnlnuV5IkXZy1WZK0qGb95PXzwE+r\n6vXAg8AXBsZdAG6pqpu2SnE8cuTIvKewboylPYsSBxhLqxYpli3I2jxgkR7XxtKeRYkDjKVVixTL\nWs3avN4O7B/v7wfeNzAu63BfXVmkB5extGdR4gBjadUixbIFWZsHLNLj2ljasyhxgLG0apFiWatZ\ni9ZVVXUaoKpOAVcNjCvggSQPJ/nEjPcpSZKGWZslSQtp4ndekzwAXL38T4wK3pcuMrwGbubmqnou\nyasZFcrjVfXL/3u2kiTJ2ixJ2pJSNVTTprhycpzR92VOJ7kG+HlVvXHCde4E/lFVXx24fO0TkiRp\nharKvOewmazNkqTWrbU2z3S2YeAg8FHgbuAjwA9XDkhyObCtqs4leRnwLuDLQze41f7JkCRpnVmb\nJUkLadZPXl8B3AfcADzD6HT8Z5NcC3yzqt6b5LXA/YwOW9oOfLuq7pp96pIkaSVrsyRpUc3UvEqS\nJEmStBnmeor8JDuSHE7yZJKfJLlyYNzJJL9N8kiSX232PFeT5N1Jfp/kRJI7BsZ8PclTSY4l2b3Z\nc5zWpFiS7E1yNslvxtvFTgwyd0nuSXI6yaOrjOklJ6vG0lFOrk/yYJLHkzyW5DMD45rPyzSx9JCX\nJJclOTp+XX08yVcGxvWQk4mx9JCTVlib22Jtbo+1uT3W5vZsWG2uqrltjL6P87nx/h3AXQPj/gDs\nmOdcB+a1DXga2AlcAhwD3rBizG3AofH+24CH5j3vGWLZCxyc91yniOWdwG7g0YHLu8jJlLH0kpNr\ngN3j/SuAJzt+rkwTSy95uXz88yXAQ4zOPttdTqaMpYuctLBZm9vZrM3zn/caY+klJ9bmBjdr8+rb\nvBcn730h9T3AU1X1TFWdB77LKKblbgcOAFTVUeDKJFfTnmligVEumlajpR7+tsqQXnIyTSzQR05O\nVdWx8f454Dhw3YphXeRlyligj7y8MN69jNFr7MrHWhc5galigQ5y0ghrczuszQ2yNreXF2tzezmB\njanN8y46vS+kfh3wp2W//5kXP1FWjnn2ImNaME0sAO8YH6JwKMmbNmdq666XnEyrq5wkeQ2jd6yP\nrriou7ysEgt0kJck25I8ApwCjlTVEyuGdJOTKWKBDnLSCGtzO6zN/eoqJ9bmdlibVzfrUjkTxYXU\nF8mvgRur6oUktwE/AHbNeU5bXVc5SXIF8H3gs+N3Rrs1IZYu8lJVF4CbkrwcOJxkb1X9Yt7zWosp\nYukiJ5vF2rxQfGy3p6ucWJvbYm1ePScb/slrVd1aVW9Ztr15/PMgcHrpY+6MFlL/y8BtPDf+eYbR\nqf33bPS8p/QscOOy368f/23lmBsmjGnBxFiq6tzSx/9V9WPgkoyWZOhNLzmZqKecJNnOqKDcW1Uv\nWneSjvIyKZae8gJQVX8HDgFvXXFRNzlZMhRLbznZaNbmbh7b1uYO9ZQTa3ObeQFr85B5Hza8tJA6\nrLKQ+vhdFPK/hdR/t1kTnOBh4HVJdia5FPgQo5iWOwjsA0jyduDs0uFYjZkYy/Lj6ZPsYbTU0l83\nd5pTC8PH0PeSkyWDsXSWk28BT1TV1wYu7ykvq8bSQ16SvCrjs8gmeSlwK6OTwSzXRU6miaWHnDTE\n2twOa3O7rM3tsTY3ZKNq84YfNjzB3cB9ST7OeCF1gCxbSJ3RYU33J1m+kPrheU14uar6d5JPA4cZ\nvRFwT1UdT/LJ0cX1jar6UZL3JHka+CfwsXnOecg0sQDvT/Ip4DzwL+CD85vxsCTfAW4BXpnkj8Cd\nwKV0lhOYHAv95ORm4MPAY+PvPhTwRUZn0OwqL9PEQh95uRbYn2TppDv3VtXPenz9YopY6CMnrbA2\nN8La3CZrc3uszU3akNqcqqGvskiSJEmS1IZ5HzYsSZIkSdJENq+SJEmSpObZvEqSJEmSmmfzKkmS\nJElqns2rJEmSJKl5Nq+SJEmSpObZvEqSJEmSmmfzKkmSJElq3n8AjBPzxUg5MNMAAAAASUVORK5C\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1074c17b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"plt.figure(figsize=(16,4))\n",
"plt.subplot(1, 2, 1)\n",
"draw_graph_with_weight(G, node_position, 'An instance of the minimum spanning tree problem')\n",
"plt.subplot(1, 2, 2)\n",
"draw_graph_with_weight(mst, node_position, 'A minimum spanning tree')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"最小重みであることを確認するのは簡単ではないかもしれないが,全域木であることは確認できる."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"次に,NetworkXをデータ構造として使いつつ,Kruskalのアルゴリズムを実装する.\n",
"\n",
"まず,union findデータ構造は使わず,閉路ができてしまうか否かの判定はNetworkXの関数node_connected_componentを使う.\n",
"この関数node_connected_componentは指定した頂点を含む連結成分を返す関数なので,事実上深さ優先探索(あるいは幅優先探索)で閉路ができてしまうか否かを判定するのと同じである(と思う)."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def kruskal_simple(G):\n",
" edge = []\n",
" for u, v in G.edges():\n",
" edge.append((G.edge[u][v]['weight'], (u, v)))\n",
" edge.sort()\n",
" T = nx.Graph()\n",
" for v in G.nodes():\n",
" T.add_node(v, position=G.node[v]['position'])\n",
" for w, e in edge:\n",
" if len(T.edges()) - 1 == len(G.nodes()):\n",
" break\n",
" u, v = e\n",
" if v in nx.node_connected_component(T, u):\n",
" continue\n",
" T.add_edge(u, v, weight=w)\n",
" return T"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"実装したKruskalのアルゴリズムを実行してみる."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"T = kruskal_simple(G)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"得られた最小全域木と問題例を描画してみる."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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OnDA6JCIiIiIin8fOK3lVY2Mj7r77bjz66KMoKSnBggULICJGh+VxYWFhKCkp\nwbRp0xAZGYni4mKjQyIiIiIi8mnsvJLXVFVV4dprr8XQoUNRUVGBq666yuiQ+lVAQACysrJQUFCA\ntLQ0LFq0COfOnTM6LCIiIiIin8TOK/U7pRRycnKQkJCA7Oxs5OXlISgoyOiwvCY2NhbV1dWoqanB\n1KlTUVtba3RIREREREQ+h51X6ld1dXVITEzEpk2bUFZWhlmzZhkdkiFGjRqFwsJC2O12TJkyBZs3\nbzY6JCIiIiIin8LOK/WbnTt3wmazYeLEidi1axfCw8ONDslQIoL09HQUFxdj6dKlSEtLw9mzZ40O\ni4iIiIjIJ7DzSh7X3NyM5cuXY/bs2diwYQMee+wxDB482OiwTCMyMhKVlZVoampCVFQUDhw4YHRI\nRERERESmx84redSxY8cwY8YM7N69G5WVlYiPjzc6JFMKDg5Gfn4+Fi9ejOnTp+OZZ56BUsrosIiI\niIiITIudV/KYwsJCREVFISEhAdu3b8ell15qdEiml5qaij179iA3NxczZ85EQ0OD0SEREREREZkS\nO6/UZ01NTcjIyEB6ejq2bt2KJUuWYMAA/rTcFRERgbKyMowZMwY2mw179+41OiQiIiIiItNhD4P6\nxOFw4LrrrsPx48dRXV2N66+/3uiQfFJgYCBycnKwbt06JCUlYdWqVWhpaTE6LCIiIiIi02DnlXot\nPz8fN9xwA+bNm4ctW7Zg5MiRRofk8xITE1FZWYlt27YhPj4eJ06cMDokIiIiIiJTYOeVekwphfT0\ndDz66KMoKSnBggULICJGh2UZYWFhKCkpwbRp0xAZGYni4mKjQyIiIiIiMpx44g6nIvIcgFsBnFRK\nXe1keiyA1wDU6h9tVUqtdLEsxbuuGm/r1q346KOPYLPZMH369A7Tvv32Wxw7dgyjR49GUFCQQRH2\njoj41F19d+7cCbvdjuTkZDzyyCN85BB5ja/VFVf07fDLo2vMzeQrrNLeEJF7+pKbPXXm9XkA3T0T\n5R2lVKT+cpocyRz+/d//HX/4wx/Q3NyMhQsX4vXXX+8wfdCgQRg/frzPdVx9UWxsLKqrq1FTU4Op\nU6eitra2+5mIiDTMzUREZCke6bwqpXYD6O4ZH3555NvXlJaW4tSpU9i9ezcyMzNx7733Yv369UaH\n5ddGjRqFwsJC2O12TJkyBZs3bzY6JCLyAczNRERkNd685vU6EXlPRN4QkUleXC/1QExMDP7zP/8T\ngYGBAIAAODenAAAgAElEQVS77roLQUFB+Prrrzmkx0AigvT0dBQXF2Pp0qVIS0vD2bNnjQ6LiHwf\nczMREfmMgV5aTyWAsUqpsyLyCwB/BRDhqvDy5cvP/x0XF4e4uLj+jo90Q4cOxdixY8+/P3z4ML74\n4gsMHjyYN2UygcjISFRWVuL+++9HVFQUNm/ejKuuusrosIhMo7S0FKWlpUaH4SuYm4mIqN95Mjd7\n5IZNACAi4wC87uymEE7KfgTgWqVUvZNpvCmECSilICL4y1/+grfffhtPPvkkXnvtNQQGBiIhIcHo\n8HrNSjeFyM/Px8KFC5GdnY358+fz4AJ5lFXqij/fsAlgbibfYJX2hojcY4YbNgHadTNOgxCR0e3+\nngyt03xBciTzaOsIDRkyBAEBAVi8eDGWLVvW4awsGSs1NRV79uxBbm4uZs6ciYaG7i5tIyI/xNxM\nRESW4ZHOq4hsArAXQISIHBWRuSIyX0Tm6UXuFJH/FZFqAE8AmOWJ9ZLnNDU1weFwoKmpqcPnVVVV\nWL9+PZqbm1FRUYFJk3hJlJlERESgrKwMY8aMgc1mw969e40OiYhMgrmZiIisxmPDhj2FQ5O8z+Fw\nIDk5GT/96U/x3HPPYcCA745p7N+/HzU1NUhNTTUwQs+x8tCkwsJCpKWlISMjA5mZmQgICDA6JPJh\nVqkr/j5s2FOYm6k/WaW9ISL39CU3s/Pq59qum1y5ciXmzZtn+esmrZ4gjx07hrvuuguDBg3Cxo0b\ncemllxodEvkoq9QVdl49g7mZ+pNV2hsico9ZrnklH9LY2Ii7774bjz76KEpKSnjDH4sICwtDSUkJ\npk2bhsjISBQXFxsdEhERERGRR7Dz6oeqqqpw7bXXYujQoaioqOCjViwmICAAWVlZKCgoQFpaGhYt\nWoRz584ZHRYRERERUZ+w8+pHlFLIyclBQkICsrOzkZeXh6CgIKPDon4SGxuL6upq1NTUYOrUqait\nrTU6JCIiIiKiXmPn1U/U1dUhMTERmzZtQllZGWbN4k0l/cGoUaNQWFgIu92OKVOmYPPmzUaHRERE\nRETUK+y8+oGdO3fCZrNh4sSJ2LVrF8LDw40OibxIRJCeno7i4mIsXboUaWlpOHv2rNFhERERERH1\nCDuvFtbc3Izly5dj9uzZ2LBhAx577DEMHjzY6LDIIJGRkaisrERTUxOioqJw4MABo0MiIiIiInIb\nO68WdezYMcyYMQO7d+9GZWUl4uPjjQ6JTCA4OBj5+flYvHgxpk+fjqeffpqPJyAiIiIin8DOqwUV\nFhYiKioKCQkJ2L59O5/1SRdITU3Fnj17kJeXhzvvvBMNDQ1Gh0RERERE1CV2Xi2kqakJGRkZSE9P\nx9atW7FkyRIMGMB/MTkXERGBsrIyhIWFwWazYe/evUaHRERERETkEns2FuFwOHDdddfh+PHjqK6u\nxvXXX290SOQDAgMDkZOTg3Xr1iEpKQmrVq1CS0uL0WEREREREV2AnVcLyM/Pxw033ID58+djy5Yt\nGDlypNEhkY9JTExEZWUltm3bhvj4eJw4ccLokIiIiIiIOmDn1Yc1Njbi7rvvxqOPPoqSkhLMnz8f\nImJ0WOSjwsLCUFJSgmnTpiEyMhLFxcVGh0REREREdB47rz6qqqoK1157LYYOHYqKigpcddVVRodE\nFhAQEICsrCwUFBQgLS0NixYtwrlz54wOi4iIiIiInVdfo5RCTk4OEhISkJ2djby8PAQFBRkdFllM\nbGwsqqurUVNTg6lTp6K2ttbokIiIiIjIz7Hz6kPq6uqQmJiITZs2oaysDLNmzTI6JLKwUaNGobCw\nEHa7HVOmTMHmzZuNDomIiIiI/Bg7rz5i586dsNlsmDhxInbt2oXw8HCjQyI/ICJIT09HcXExli5d\nirS0NJw9e9bosIiIiIjID7HzanLNzc1Yvnw5Zs+ejQ0bNuCxxx7D4MGDjQ6L/ExkZCQqKyvR1NSE\nqKgoHDhwwOiQiIiIiMjPsPNqYseOHcOMGTOwe/duVFZWIj4+3uiQyI8FBwcjPz8fixcvxvTp0/H0\n009DKWV0WERERETkJ9h5NanCwkJERUUhISEB27dvx6WXXmp0SEQAgNTUVOzZswd5eXm488470dDQ\nYHRIREREROQH2Hk1maamJmRkZCA9PR1bt27FkiVLMGAA/01kLhERESgrK0NYWBhsNhv27t1rdEhE\nREREZHHsFZmIw+HAddddh+PHj6O6uhrXX3+90SERuRQYGIicnBysW7cOSUlJWLVqFVpaWowOi4iI\niIgsip1Xk8jPz8cNN9yA+fPnY8uWLRg5cqTRIRG5JTExEZWVldi2bRvi4+Nx4sQJo0MiIiIiIgsa\naHQAVnLq1Cnk5+fD4XDgzJkzGDZsGCIiIjBnzhyEhIQ4naexsRH33XcfKisrUVJSgquuusrLURP1\nXVhYGEpKSrBy5UpERkbi+eefR0JCgtFhERH1KjcTEZE58cyrB5SXl8Nut2PChAk4dOgQIiMjccst\ntyAyMhIffPABIiIiYLfbUV5e3mG+qqoqXHvttRg6dCgqKirYcSWfFhAQgKysLBQUFCAtLQ2LFi3C\nuXPnjA6LiPxUb3MzERGZmFLKVC8tJN+Rm5urQkND1dq1a1V9fb3TMvX19WrNmjUqNDRU5ebmqtbW\nVvXEE0+okJAQVVBQ4OWI/dvvf/97o0PwC6dPn1a33nqrio6OVh9++KHR4VAvWKWu6DnF8Nzm6y9/\nyM1kHKu0N0Tknr7kZtHmNw8RUWaLyZW8vDysXr0a27ZtwxVXXNFt+SNHjuDnP/85goODMWTIELz8\n8ssIDw/3QqTUprW1lXdv9hKlFNavX4+VK1di/fr1mDVrltEhUQ9Ypa6ICJRSYnQcvs7quTk+Ph6Z\nmZmYN2+eFyKkzqzS3hCRe/qSm9lS9FJ5eTmysrIuSI5PPfUUoqOjMWTIEPzqV7/qMM8VV1yB7du3\n4/jx43jiiSfYcTUAk6P3iAjS09NRXFyMpUuX4te//jWam5tdlv/yyy+xdetWL0ZIXWFdIV/U29y8\nbds2ZGVloaKiwtshE9jeEJH7PNJaiMhzInJSRN7vosw6ETksIu+JyDWeWK+RcnJykJmZecFR3TFj\nxmDp0qW49957nc53xRVX4KGHHsIf//hHb4RJZLjIyEhUVlZi8uTJXV4DO2vWLKSmpmL+/Pm8VpbI\nA5ibv+NObn7wwQeRk5PjjTCJiKiXPHWo63kA8a4misgvAFyulPoRgPkAnvHQeg1x6tQpvPHGG5gz\nZ84F0+644w4kJibikksucTn/nDlzUFRUhNOnT/dnmESmERwcjHnz5iEoKMjp9EceeQQDBw5EY2Mj\ngoODYbPZ8Omnn3o5SiLLYW7WMTcTEVmDRzqvSqndABq6KHI7gHy97D4AF4vIaE+s2wj5+flISkrq\n9bNYL7nkEiQlJSE/P9/DkRH5nlOnTiE3NxcTJ06EiOC//uu/kJubix/84AdGh0bk05ibe4a5mYjI\n/Lx1kcEYAJ+0e39c/8wnORwOTJ48uU/LiI6OhsPh8FBE5I6UlBSnn+/evdvlUDLqf9///vdRVFSE\nAwcO4MEHH0RrayumTp1qdFh+73e/+x3eeOMNo8Og/sXc3Alzs/cxNxNRTww0OgBnli9ffv7vuLg4\nxMXFGRaLM2fOnEFwcHCflhEcHIzGxkYPRUTuKC0txT//+U+IdLy52bBhw1BUVGRQVP7r7Nmz54cR\nX3311fjTn/6EBQsW4MyZMxg+fLjB0dGLL76IL7/8En/605+wdu1ahIWFGR2SW0pLS1FaWmp0GJbE\n3Ez9gbmZyPo8mZu91Xk9DuCydu/D9M+cap8gzWjYsGF9Tm5t1/aR93z22We47bbbLkiQADB6tM+O\nlPNZW7ZsQVFREQoKChAQEIC3334bAwcOxODBg40OjQAMHDgQTz75JN577z3MnTsXN998MzIyMkx/\nV9DOnaoVK1YYF4z5MTd3wtzsfczNRNbnydzsyc6r6C9nCgHcD2CziEwB8LlS6qQH1+1VERER2L9/\nPxYsWHDBtJaWFnz77bdoaWlBc3MzmpqaMHDgQAQEBHQoV15ejh//+MfeCpmgJcEDBw4YHQbp5syZ\ng6qqKtxwww2YMWMG3n//fdx8880IDAw0OjS/tnPnTgDA119/jdLSUogIHnroIWzYsAFRUVGoqqoy\nOELqIeZmMDebGXMzEfWEeOKh4yKyCUAcgO8BOAkgC8BgAEoplaeXeRJAAoCvAMxVSjndA/KFB6Gf\nOnUKEyZMQG1t7QU3hlixYgVWrFjR4QhiVlYWli1bdv59fX09Lr/8cjgcDoSEhHgtbn/3/PPPY+7c\nuUaHQZ28/vrr+PDDDzF58mRER0dj0KBBaGpqgojwLKwBEhMTAQAlJSW46aabLjgbUlhYaERYvdaX\nB6H7Oubm7zA3mxdzM5H/6Utu9kjn1ZN8IUECgN1uR1RUFH7729/2eN41a9aguroaGzdu7IfIiHyb\nUgqPP/44XnnlFRQUFCA8PNzokPxSamqqJe666s+dV09ibiYiIk/pS24298VLJpaRkYHVq1fjyJEj\nPZrvyJEjePjhhzFmzBj4wo4AkbeJCBYuXAi73Y4pU6agoKDA6JD8khU6ruR/+pqbx44dy9xMRGRi\n7Lz2UnR0NFasWIH4+Hi3k+SRI0cQHx+PhQsXYvv27bjzzjvR0NDVI/jI0+rr640OgdwgIkhPT0dx\ncTGWLVuGX//61/jqq6+MDsuvsK6QL+pLbv6P//gPFBUVITk5GV988UU/R0rtsb0hInex89oH8+bN\nQ2ZmJqZNm4a1a9e67IjW19djzZo1mDZtGjIzM7F06VK8++67uOyyy2Cz2bB3714vR+6/vve97xkd\nAvVAZGQkKisrce7cOURHR/OmHl7EukK+qre5edmyZdi3bx9CQkJgs9mwb98+L0fuv9jeEJG7eM2r\nB1RUVCAnJwdFRUVISkpCdHT0+WfFlZeX49VXX8Wtt96KjIwMREVFdZi3sLAQ8+bNQ3p6OjIzMy+4\n8yF5lj7G3ugwqBfy8/OxcOFCPPzww1iwYIHTxyqQ51ilrvCaV8/wt9z86quvYsGCBVi4cCEeeOAB\n0z8iytdZpb0hIvfwhk0mcfr0aeTn58PhcJx/VlxERARSU1O7vHPhsWPHcNddd2HQoEHYuHEjLr30\nUi9G7V+YIH2bw+HArFmzEB4ejg0bNlxwR1HyHKvUFXZePcMfc/PRo0eRkpKCiy66CPn5+XzmaD+y\nSntDRO5h59UCWlpasHLlSjzzzDN4/vnnkZCQYHRIlsQE6fuamprw4IMP4rXXXsOmTZtw/fXXGx2S\nJVmlrrDz6hn+mpubm5uxYsUKPPfcc3jhhRfwL//yL0aHZElWaW+IyD3svFrIzp07YbfbkZycjEce\neYTPufQwJkjrKCwsRFpaGjIyMjjkvh9Ypa6w8+oZ/p6bS0pKkJqaCrvdjuzsbAwaNMjokCzFKu0N\nEbmHnVeLqaurw9y5c3Hy5Ek+59LDmCCthUPu+49V6go7r57B3KwNP54zZw4aGhqwadMmjB8/3uiQ\nLMMq7Q0RuYfPebWYUaNGobCwEHa7HTExMXzOJZELYWFhKCkpwbRp0xAZGYni4mKjQyIiiwoJCUFR\nURFmzpyJmJgYbNmyxeiQiIj8Ds+8mlx1dTVmzZqFG2+8ETk5ObjooouMDsmn8eiudXHIvWdZpa7w\nzKtnMDd3VFFRgeTkZPzsZz/D2rVrMXToUKND8mlWaW+IyD0882phNpsNlZWV+Pbbb/mcS6IuxMbG\norq6GjU1NZg6dSpqa2uNDomILCoqKgpVVVVobGxEdHQ0Dh48aHRIRER+gZ1XHxAcHIwXXngBixcv\nxvTp0/H000/zCCWRExxyT0TeMnz4cLz44ot44IEHEBcXh2effZa5mYion3HYsI9xOBxITk7G+PHj\n+ZzLXuDQJP9RVVWF5ORkDrnvJavUFQ4b9gzm5q7V1NRg1qxZuPLKK5GXl4eLL77Y6JB8ilXaGyJy\nD4cN+5GIiAi8++67uOyyy2Cz2bB3716jQyIypcjISFRWVuLcuXMcck9E/erKK6/Evn37EBISApvN\nhn379hkdEhGRJbHz6oMCAwPxxBNPYN26dfjlL3+JVatWoaWlxeiwiEwnODgY+fn5HHJPRP1uyJAh\nePLJJ/H4448jMTERq1evRmtrq9FhERFZCocN+zg+57JnODTJfzkcDsyaNQvh4eEccu8Gq9QVDhv2\nDObmnjl69ChSUlIQFBSEjRs3YvTo0UaHZGpWaW+IyD0cNuzH+JxLIvdERESgrKwMYWFhHHJPRP1q\n7NixKC0tRUxMDGw2G3bs2GF0SERElsAzrxbC51x2j0d3CQAKCwuRlpaGjIwMZGZmIiAgwOiQTMcq\ndYVnXj2Dubn3SkpKkJqaCrvdjuzsbAwaNMjokEzHKu0NEbmnL7mZnVeLqaurw9y5c3Hy5EkUFBQg\nPDzc6JBMhQmS2nDIfdesUlfYefUM5ua+OX36NObMmYOGhgZs2rQJ48ePNzokU7FKe0NE7uGwYTqP\nz7kkcg+H3BORt4SEhKCoqAgzZ85ETEwMtmzZYnRIREQ+iWdeLYzPubwQj+6SMxxyfyGr1BWeefUM\n5mbPKS8vx+zZs/Gzn/0Ma9euxdChQ40OyXBWaW+IyD0880pO8TmXRO6JjY1FdXU1ampqMHXqVNTW\n1hodEhFZVHR0NKqqqtDY2Ijo6GgcPHjQ6JCIiHwGO68Wx+dcErmHQ+6JyFuGDx+OF198EQ888ADi\n4uLw7LPPMjcTEbmBw4b9iMPhQHJyMsaPH++3z7nk0CRyB4fcW6eucNiwZzA395+amhrMmjULEyZM\nQF5eHkaMGGF0SF5nlfaGiNzDYcPkloiICLz77ru47LLL+JxLoi5wyD0RecuVV16Jffv24fvf/z5s\nNhvKysqMDomIyLTYefUzgYGBeOKJJ7Bu3Tr88pe/xKpVq9DS0mJ0WESmwyH3ROQtQ4YMwZNPPok1\na9bg9ttvx+rVq9Ha2mp0WEREpsNhw37MH59zyaFJ1BsOhwOzZs1CeHi43wy5t0pd4bBhz2Bu9p6j\nR48iJSUFQUFB2LhxI0aPHm10SP3OKu0NEbmHw4apV3r6nMtz5855KTIic4mIiEBZWRnCwsI45J6I\n+tXYsWNRWlqKmJgY2Gw27Nixo8vyzM1E5E880nkVkQQRqRERh4hkOpkeKyKfi0iV/vq9J9ZLfRcQ\nEICsrCwUFBRg165daGpqclquqakJqampeOqpp7wcIZE5BAYGIicnB+vWrUNSUhKH3JPpMTf7roED\nByI7Oxsvvvgidu/ezdxMRKTr87BhERkAwAFgBoBPAZQDSFZK1bQrEwtgoVIq0Y3lcWiSQZRSEHF+\nBv/06dMoLy/HHXfcgby8PNxzzz3eDc5DODSJPMEfhtxbpa7467Bh5mbrYG4mIqsxetjwZACHlVIf\nK6W+BVAA4HYn5fxu58HXuEqOABASEoLm5mZcddVVuO2227wYFZH59HTIPZEBmJstgrmZiOg7nui8\njgHwSbv3x/TPOrtORN4TkTdEZJIH1kte9MEHHyArKwsrV67E9773PQ6XJL/Xfsh9WloaFi1axGvP\nyEyYm/0AczMR+ZuBXlpPJYCxSqmzIvILAH8FEOGq8PLly8//HRcXh7i4uP6Oj7rwxRdfYMmSJbjl\nllvwi1/8AoC2405EQGxsLKqrqzF37lxMnToVBQUFCA8PNzosv1VaWorS0lKjw/AVzM0+jLmZiHyF\nJ3OzJ655nQJguVIqQX+/GIBSSq3uYp6PAFyrlKp3Mo3X1ZjEvn37EBMTg1WrVmHXrl146623AACt\nra0YMMA3b1TN62qovyilsH79emRnZ2P9+vVITk42OqQ+sUpd8eNrXpmbLYq5mYh8XV9ysyc6rwEA\n/gHtphAnAOwHMFspdahdmdFKqZP635MBvKKU+qGL5TFBmsCZM2dwxx134PPPP0dTUxP279+PoUOH\noqWlxaeP7DJBUn+rqqpCcnIybrzxRuTk5OCiiy4yOqResUpd8ePOK3OzBTE3E5EVGHrDJqVUC4Df\nANgO4CCAAqXUIRGZLyLz9GJ3isj/ikg1gCcAzOrreql/DRs2DH/7298wZcoU1NbWoqGhAcB3Q5Ka\nm5uNDI/ItCIjI1FZWYlz584hOjoaBw4cMDok8kPMzdbE3ExE/q7PZ149jUd3zefPf/4zzp49i5SU\nFAwcOBDNzc1IS0vDj370I2RmZvrU0V4e3SVvys/Px8KFC/Hwww9jwYIFXd411GysUlf89cyrpzE3\nm4+z3Dx37lz85Cc/waJFi3xqCLFV2hsico+hw4Y9jQnSnDpfS+Orz7lkgiRvczgcmDVrFsLDw7Fh\nwwaMHDnS6JDcYpW6ws6rZzA3m1Pn3Hz06FGkpKQgKCgIGzduxOjRow2Mzn1WaW+IyD1GP+eV/EDn\nI7h8ziWReyIiIlBWVoawsDDYbDbs3bvX6JCIyCI65+axY8eitLQUMTExsNls2LFjh0GRERH1D555\npT7buXMn7HY7kpOT8cgjj2Dw4MFGh+QSj+6SkQoLC5GWloaMjAzTD7m3Sl3hmVfPYG72PSUlJUhN\nTYXdbkd2djYGDRpkdEguWaW9ISL3cNgwGa6urg5z587FyZMnTf2cSyZIMpqvDLm3Sl1h59UzmJt9\n0+nTpzFnzhw0NDRg06ZNGD9+vNEhOWWV9oaI3MNhw2S4UaNGobCwEHa7HTExMSgoKDA6JCJT6jzk\nvu0ZjUREnhYSEoKioiLMnDkTMTEx2LJli9EhERH1Cc+8kseZ+TmXPLpLZmLmIfdWqSs88+oZzM2+\nr7y8HLNnz8aMGTOwdu1aBAUFGR3SeVZpb4jIPTzzSqbC51wSuSc2NhbV1dWoqanB1KlTUVtba3RI\nRGRR0dHRqKqqQmNjIyZPnoyDBw8aHRIRUY+x80r9Ijg4GPn5+Vi8eDGmT5+Op59+mkdViZzgkHsi\n8pbhw4fjpZdewsKFCxEbG4u8vDzmZiLyKRw2TP3OTM+55NAkMjMzDbm3Sl3hsGHPYG62nkOHDiE5\nORkTJkxAXl4eRowYYVgsVmlviMg9HDZMpsbnXBK5h0PuichbJk6ciLKyMoSEhMBms6GsrMzokIiI\nusXOK3lFYGAgcnJysG7dOiQlJWHVqlVoaWkxOiwi0+GQeyLylqFDh+Kpp57CmjVrkJiYiNWrV6O1\ntdXosIiIXOKwYfI6I59zyaFJ5EuMHHJvlbrCYcOewdxsfR9//DHuuusuBAUFYePGjRg9erTX1m2V\n9oaI3MNhw+RTOj/nsri42OiQiEyJQ+6JyFvGjRuH0tJSxMTEwGazYceOHUaHRER0AZ55JUN5+zmX\nPLpLvqqwsBBpaWnIyMhAZmYmAgIC+nV9VqkrPPPqGczN/qWkpASpqamw2+3Izs7GoEGD+nV9Vmlv\niMg9fcnN7LyS4erq6jB37lycPHkSBQUFCA8P77d1MUGSL2sbcj9w4EC8+OKL/Trk3ip1hZ1Xz2Bu\n9j+nT5/GnDlz0NDQgE2bNmH8+PH9ti6rtDdE5B4OGyafxudcErmnbcj9jTfeiMjISLz11ltGh0RE\nFhUSEoKioiLMnDkTMTEx2LJli9EhERHxzCuZS38/55JHd8kq+nvIvVXqCs+8egZzs38rLy/H7Nmz\nMWPGDKxduxZBQUEeXb5V2hsicg/PvJJl8DmXRO6JjY1FdXU1ampqMHXqVNTW1hodEhFZVHR0NKqq\nqtDY2IjJkyfj4MGDRodERH6KnVcyHT7nksg9HHJPRN4yfPhwvPTSS1i4cCFiY2ORl5fH3ExEXsdh\nw2Rqnn7OJYcmkVV5esi9VeoKhw17BnMztXfo0CEkJydjwoQJyMvLw4gRI/q0PKu0N0TkHg4bJsvi\ncy6J3MMh90TkLRMnTkRZWRlCQkJgs9lQVlZmdEhE5CfYeSXTCwwMRE5ODtatW4ekpCSsWrUKLS0t\nRodFZDocck9E3jJ06FA89dRTWLNmDRITE7F69Wq0trYaHRYRWRyHDZNPOXbsGFJSUjB48GBs3Lix\nx8+55NAk8hd9HXJvlbrCYcOewdxMXfn444+RkpKCiy66CBs3bsTo0aN7NL9V2hsicg+HDZPfaHvO\n5dSpUxEZGYni4mKjQyIypc5D7vfs2WN0SERkUePGjcPOnTsxefJk2Gw27Nixw+iQiMiieOaVfJa7\nz7k8deoU8vPz4XA48PLLL2P27NmIiIjAnDlzEBIS4uWoibyvsLAQaWlpyMjIQGZmJgICApyWs2Jd\n4ZlXz2BuJneVlJQgNTUVdrsd2dnZGDRokNNyVmxviPpD+7py5swZDBs2zOfrCs+8kl/q7jmX5eXl\nsNvtmDBhAg4dOoTIyEg888wziIyMxAcffICIiAjY7XaUl5cbtAVE3pGYmIjKykps27YNP//5z3Hi\nxIkO01lXiMhTpk+fjurqarz//vuYNm0aPvroow7T2d4QucdZXbnllltYV5RSpnppIRG5r7W1VeXk\n5KhRo0apl19+WSmlVG5urgoNDVVr165V9fX1Tuerr69Xa9asUaGhoSo3N9ebIRMZorm5WS1fvlyF\nhoaqN998Uyll/bqi5xTDc5uvv5ibqadaWlrU448/rkJCQtQrr7yilLJ+e0PkKVavK33JzRw2TJbR\n9pzL0aNH49NPP8W2bdtwxRVXdDvfkSNHEB8fj8zMTMybN88LkRIZq23I/aRJk3DkyBFL1xUOG/YM\n5mbqrfLycsyePRtjxozBsWPHLN3eEHlCXl4eVq9ebem60qfc3Nteb/sXgAQANQAcADJdlFkH4DCA\n9wBc08WyPN25Jz/y9ttvq0suuUQdPnzY6XSHw6GGDBmi7r777g6fHz58WIWGhqry8nJvhElKqW++\n+UZNnjxZXXPNNWrSpElqyZIlRofkV7Zv365Gjhx5QV2JjY1VQ4YMUcHBwWrYsGHqyiuv7DDd1+oK\n/JUOXfIAAA1BSURBVPjMK3MzmUVJSYnL3OwqLyvle+2NFTA3G2v//v0qNDSUubmLV5+veRWRAQCe\nBBAP4McAZovIlZ3K/ALA5UqpHwGYD+CZvq6XyJkNGzZg6dKlLo9U/eY3v8HkyZMv+PyKK67Agw8+\niJycnP4OkXSBgYF4++23z18bVVJSwjvietELL7zgtK6ICP74xz/iyy+/RGNjIw4dOtRhOuuKb2Bu\nJjN57rnn8Pvf/95pbnaVlwG2N0ZgbjZWTk4OMjMzmZu74IkbNk0GcFgp9bFS6lsABQBu71TmdgD5\nAKCU2gfgYhHp2UPAiLpx6tQpvPHGG5gzZ47T6QUFBRg5ciRmzJjhdPqcOXNQVFSE06dP92eY1E5Q\nUBAAoKmpCa2trT1+Fin1Tltdueeee5xOV90MD2Vd8QnMzWQKXbU33eVlgO2NEZibjdHdfixzs8YT\nndcxAD5p9/6Y/llXZY47KUPUJ/n5+UhKSnLayH755ZfIysrCmjVrXFb+Sy65BElJScjPz+/vUEnX\n2toKm82G0NBQxMXFYdKkSUaH5Be6qisAsGTJEnz/+9/HtGnTsHPnzgums674BOZmMgVX7Y07eRlg\ne2ME5mZjMDe7h4/KIctwOBwuhx4tW7YMaWlp+MEPftDlMqKjo+FwOPojPHJiwIABqK6uxrFjx/DO\nO+84bYzJ87qqK4899hhqa2tx/PhxpKWl4bbbbrvgURcA6woRucdVe+NuXgbY3ngbc7MxmJvdM9AD\nyzgOYGy792H6Z53LXNZNmfOWL19+/u+4uDjExcX1NUbyA2fOnEFwcPAFn7/33nv429/+hvfee6/b\nZQQHB2PTpk3Iy8vrjxD91pIlS5CdnY2AgACn04cPH45bbrkFFRUViI2NBQB8/vnnHKrUT4YNG3b+\ne+4sOjr6/N+pqal4+eWX8eabb+L+++/vUC44OBiNjY39GmdvlJaWorS01OgwzIC5mUzBWW7uSV4G\nmJv7y7Jly7BixQqX053l5rq6OoSEhHgrRL/C3OweT3ReywFcISLjAJwAkAxgdqcyhQDuB7BZRKYA\n+FwpddLVAtsnSCJ3DRs2zGmF3blzJz7++GOMHTsWSimcOXMGLS0t+OCDD1BRUdGhbGNjI1JSUpCb\nm+utsP1WXV0dBg0ahIsvvhhff/01duzYgaysrPPTR4wY0e31HdQ78+bNczu56bezv+DzxsZGpweL\njNa5U9XVjpnFMTeTKTjLzT3JywBzszd1l5tHjRrF3NxPmJvd0+dhw0qpFgC/AbAdwEEABUqpQyIy\nX0Tm6WXeBPCRiBwBkAvgvr6ul6iziIgI7N+//4LP58+fjw8//BDvvfce/v73v2PBggW49dZbsX37\n9gvKlpeXIyIiwhvh+r0TJ07gpptugs1mw5QpU5CYmNjlTTvIc1zVlS+++ALbt29HU1MTWlpa8NJL\nL2HXrl1ISEi4oCzrirkxN5NZOGtvepKXAbY33sTcbBzmZveI2Y6e8EHo1FunTp3ChAkTUFtb2+Vw\n0xUrVuDDDz+84IL2+vp6XH755XA4HBwSQ5bmqq7U1dXh5ptvxj/+8Q8EBATgyiuvxMqVKzF9+vQO\n8/tSXenTg9DpPOZm6i13crOrvAz4VntD1BfMzW7Oa7ZkxARJfWG32xEVFYXf/va3PZ537dq1qKqq\nwsaNG/shMiJz8Ze6ws6rZzA3U1/4S3tD1Ff+UlfYeSXSlZeXIzExEbt27XL6MHRXjhw5gmnTpuH1\n119HVFRUP0ZIZA7+UlfYefUM5mbqC39pb4j6yl/qSl9yMx+VQ5YSHR2NFStWID4+HkeOHHFrniNH\njiA+Ph4rVqzwiQpP5AmsK0TkLWxviNzDuuIGpZSpXlpIRH2Tm5urQkND1Zo1a1R9fb3TMp999pl6\n/PHHVWhoqMrNzfVyhETmYPW6oucUw3Obr7+Ym8kTrN7eEHmK1etKX3Izhw2TZVVUVCAnJwdFRUVI\nSkpCdHT0+edflZeX49VXX8Wtt96KjIwM/zhSReSClesKhw17BnMzeYqV2xsiT7JyXeE1r0RdOP3/\n27u/EDnPKo7j319MW6zFEv/0D/0TBYl/QElBolIhvalYEeqFqCDEPyAiiN5ZFaF4I+2NoJdKhaQo\nWoRqIIqp1gheNBZtbG1j0yKpWpoY0FRjvQjmeDGzumzz7ow7uzvPM/v9wMu+u/PMzHM4M3P2zLzz\nPmfOcODAAU6cOPHf9a927drFvn37mj8bm7SZFvG5YvO6PqzNWm+L+HojbYRFfK7YvEqSdBE2r+vD\n2ixJWi+esEmSJEmStNBsXiVJkiRJzbN5lSRJkiQ1z+ZVkiRJktQ8m1dJkiRJUvNsXiVJkiRJzbN5\nlSRJkiQ1z+ZVkiRJktQ8m1dJkiRJUvNsXiVJkiRJzbN5lSRJkiQ1z+ZVkiRJktQ8m1dJkiRJUvNs\nXiVJkiRJzbN5lSRJkiQ1z+ZVkiRJktQ8m1dJkiRJUvNsXiVJkiRJzbN5lSRJkiQ1z+ZVkiRJktQ8\nm1dJkiRJUvO2z3LlJDuA7wE7gZPAB6rq+YuMOwk8D1wAzlfVnlnuV5IkXZy1WZK0qGb95PXzwE+r\n6vXAg8AXBsZdAG6pqpu2SnE8cuTIvKewboylPYsSBxhLqxYpli3I2jxgkR7XxtKeRYkDjKVVixTL\nWs3avN4O7B/v7wfeNzAu63BfXVmkB5extGdR4gBjadUixbIFWZsHLNLj2ljasyhxgLG0apFiWatZ\ni9ZVVXUaoKpOAVcNjCvggSQPJ/nEjPcpSZKGWZslSQtp4ndekzwAXL38T4wK3pcuMrwGbubmqnou\nyasZFcrjVfXL/3u2kiTJ2ixJ2pJSNVTTprhycpzR92VOJ7kG+HlVvXHCde4E/lFVXx24fO0TkiRp\nharKvOewmazNkqTWrbU2z3S2YeAg8FHgbuAjwA9XDkhyObCtqs4leRnwLuDLQze41f7JkCRpnVmb\nJUkLadZPXl8B3AfcADzD6HT8Z5NcC3yzqt6b5LXA/YwOW9oOfLuq7pp96pIkaSVrsyRpUc3UvEqS\nJEmStBnmeor8JDuSHE7yZJKfJLlyYNzJJL9N8kiSX232PFeT5N1Jfp/kRJI7BsZ8PclTSY4l2b3Z\nc5zWpFiS7E1yNslvxtvFTgwyd0nuSXI6yaOrjOklJ6vG0lFOrk/yYJLHkzyW5DMD45rPyzSx9JCX\nJJclOTp+XX08yVcGxvWQk4mx9JCTVlib22Jtbo+1uT3W5vZsWG2uqrltjL6P87nx/h3AXQPj/gDs\nmOdcB+a1DXga2AlcAhwD3rBizG3AofH+24CH5j3vGWLZCxyc91yniOWdwG7g0YHLu8jJlLH0kpNr\ngN3j/SuAJzt+rkwTSy95uXz88yXAQ4zOPttdTqaMpYuctLBZm9vZrM3zn/caY+klJ9bmBjdr8+rb\nvBcn730h9T3AU1X1TFWdB77LKKblbgcOAFTVUeDKJFfTnmligVEumlajpR7+tsqQXnIyTSzQR05O\nVdWx8f454Dhw3YphXeRlyligj7y8MN69jNFr7MrHWhc5galigQ5y0ghrczuszQ2yNreXF2tzezmB\njanN8y46vS+kfh3wp2W//5kXP1FWjnn2ImNaME0sAO8YH6JwKMmbNmdq666XnEyrq5wkeQ2jd6yP\nrriou7ysEgt0kJck25I8ApwCjlTVEyuGdJOTKWKBDnLSCGtzO6zN/eoqJ9bmdlibVzfrUjkTxYXU\nF8mvgRur6oUktwE/AHbNeU5bXVc5SXIF8H3gs+N3Rrs1IZYu8lJVF4CbkrwcOJxkb1X9Yt7zWosp\nYukiJ5vF2rxQfGy3p6ucWJvbYm1ePScb/slrVd1aVW9Ztr15/PMgcHrpY+6MFlL/y8BtPDf+eYbR\nqf33bPS8p/QscOOy368f/23lmBsmjGnBxFiq6tzSx/9V9WPgkoyWZOhNLzmZqKecJNnOqKDcW1Uv\nWneSjvIyKZae8gJQVX8HDgFvXXFRNzlZMhRLbznZaNbmbh7b1uYO9ZQTa3ObeQFr85B5Hza8tJA6\nrLKQ+vhdFPK/hdR/t1kTnOBh4HVJdia5FPgQo5iWOwjsA0jyduDs0uFYjZkYy/Lj6ZPsYbTU0l83\nd5pTC8PH0PeSkyWDsXSWk28BT1TV1wYu7ykvq8bSQ16SvCrjs8gmeSlwK6OTwSzXRU6miaWHnDTE\n2twOa3O7rM3tsTY3ZKNq84YfNjzB3cB9ST7OeCF1gCxbSJ3RYU33J1m+kPrheU14uar6d5JPA4cZ\nvRFwT1UdT/LJ0cX1jar6UZL3JHka+CfwsXnOecg0sQDvT/Ip4DzwL+CD85vxsCTfAW4BXpnkj8Cd\nwKV0lhOYHAv95ORm4MPAY+PvPhTwRUZn0OwqL9PEQh95uRbYn2TppDv3VtXPenz9YopY6CMnrbA2\nN8La3CZrc3uszU3akNqcqqGvskiSJEmS1IZ5HzYsSZIkSdJENq+SJEmSpObZvEqSJEmSmmfzKkmS\nJElqns2rJEmSJKl5Nq+SJEmSpObZvEqSJEmSmmfzKkmSJElq3n8AjBPzxUg5MNMAAAAASUVORK5C\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10494cbe0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"plt.figure(figsize=(16,4))\n",
"plt.subplot(1, 2, 1)\n",
"draw_graph_with_weight(G, node_position, 'An instance of the minimum spanning tree problem')\n",
"plt.subplot(1, 2, 2)\n",
"draw_graph_with_weight(T, node_position, 'A minimum spanning tree')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"確かに最小全域木が求められているようだ."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"次に,union findデータ構造の1つであるunion find treeを用いて,Kruskalのアルゴリズムを実装する."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def make_initial_union_find_tree(G):\n",
" union_find_tree = nx.DiGraph()\n",
" for v in G.nodes():\n",
" union_find_tree.add_node(v, size=1)\n",
" return union_find_tree\n",
"\n",
"\n",
"def name_and_size(v, union_find_tree):\n",
" pred = union_find_tree.predecessors(v)\n",
" if len(pred) == 0:\n",
" return v, union_find_tree.node[v]['size']\n",
" else:\n",
" return name_and_size(pred[0], union_find_tree)\n",
"\n",
" \n",
"def merge_tree(u, v, union_find_tree):\n",
" u_root_name, u_tree_size = name_and_size(u, union_find_tree)\n",
" v_root_name, v_tree_size = name_and_size(v, union_find_tree)\n",
" if u_root_name == v_root_name:\n",
" return\n",
" if u_tree_size > v_tree_size:\n",
" union_find_tree.add_edge(u_root_name, v_root_name)\n",
" union_find_tree.node[u_root_name]['size'] += v_tree_size\n",
" else:\n",
" union_find_tree.add_edge(v_root_name, u_root_name)\n",
" union_find_tree.node[v_root_name]['size'] += u_tree_size\n",
" return\n",
"\n",
" \n",
"def kruskal_union_find(G):\n",
" union_find_tree = make_initial_union_find_tree(G)\n",
" edge = []\n",
" for u, v in G.edges():\n",
" edge.append((G.edge[u][v]['weight'], (u, v)))\n",
" edge.sort()\n",
" T = nx.Graph()\n",
" for v in G.nodes():\n",
" T.add_node(v, position=G.node[v]['position'])\n",
" for w, (u, v) in edge:\n",
" if len(T.edges()) - 1 == len(G.nodes()):\n",
" break\n",
" if name_and_size(u, union_find_tree) == name_and_size(v, union_find_tree):\n",
" continue\n",
" T.add_edge(u, v, weight=w)\n",
" merge_tree(u, v, union_find_tree)\n",
" return T"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"T = kruskal_union_find(G)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"得られた最小全域木と問題例を描画してみる."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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OnDA6JCIiIiIin8fOK3lVY2Mj7r77bjz66KMoKSnBggULICJGh+VxYWFhKCkp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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a4592e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"plt.figure(figsize=(16,4))\n",
"plt.subplot(1, 2, 1)\n",
"draw_graph_with_weight(G, node_position, 'An instance of the minimum spanning tree problem')\n",
"plt.subplot(1, 2, 2)\n",
"draw_graph_with_weight(T, node_position, 'A minimum spanning tree')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"確かに最小全域木が得られているようだ."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"次に,union find treeをより理解するため,Kruskalのアルゴリズムにおける解とunion find treeの変化を描画してみる.\n",
"\n",
"先程定義した関数kruskal_union_findを,途中経過観察可能なように再定義する."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def kruskal_union_find2(G):\n",
" union_find_tree = [make_initial_union_find_tree(G)]\n",
" edge = []\n",
" for u, v in G.edges():\n",
" edge.append((G.edge[u][v]['weight'], (u, v)))\n",
" edge.sort()\n",
" T = [nx.Graph()]\n",
" for v in G.nodes():\n",
" T[-1].add_node(v, position=G.node[v]['position'])\n",
" for w, (u, v) in edge:\n",
" if len(T[-1].edges()) - 1 == len(G.nodes()):\n",
" break\n",
" if name_and_size(u, union_find_tree[-1]) == name_and_size(v, union_find_tree[-1]):\n",
" continue\n",
" T.append(T[-1].copy())\n",
" T[-1].add_edge(u, v, weight=w)\n",
" union_find_tree.append(union_find_tree[-1].copy())\n",
" merge_tree(u, v, union_find_tree[-1])\n",
" return T, union_find_tree"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"再定義したkruskal_union_findを実行してみる."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"T, UFT = kruskal_union_find2(G)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"実行結果(最小全域木の生成過程とunion find treeの成長過程)を描画する関数を以下に定義する."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def draw_forest(instance, forest, node_position, title='A forest', with_labels=True):\n",
" nx.draw_networkx(instance, node_position, with_labels=with_labels, node_color='w', alpha=0.5)\n",
" plt.title(title)\n",
" nx.draw_networkx(forest, pos=node_position, with_labels=with_labels, edge_color='r', node_color='w')\n",
" weight = nx.get_edge_attributes(instance, 'weight')\n",
" edge_labels = nx.draw_networkx_edge_labels(G, pos=node_position, edge_labels=weight)\n",
" return\n",
" \n",
"def draw_forest_and_union_find_tree(instance, forest, union_find_tree, with_labels=True):\n",
" node_position = nx.get_node_attributes(instance, 'position')\n",
" total_phase = len(forest)\n",
" plt.figure(figsize=(16, 4 * total_phase))\n",
" for i in range(total_phase):\n",
" plt.subplot(total_phase, 2, 2 * i + 1)\n",
" draw_forest(instance, forest[i], node_position, title='A forest {0}'.format(i), with_labels=False)\n",
" plt.subplot(total_phase, 2, 2 * i + 2)\n",
" draw_graph_with_weight(union_find_tree[i], node_position, title='A union find tree {0}'.format(i), with_labels=with_labels)\n",
" return"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Kruskalのアルゴリズムの途中経過を描画してみる."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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RERER1RmLVxdSXFyM9PR0lJWVYcKECejUqZPeIVE96tq1K2bMmIGvv/4aS5cu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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a1046d8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"draw_forest_and_union_find_tree(G, T, UFT, node_position)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"小さな問題例ではunion find treeの変化がわかりにくいかもしれないので,もう少し大きな例を作って見てみる.\n",
"\n",
"枝重みを一様ランダムに決めた格子状のグラフを用意する."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import random\n",
"\n",
"def make_random_grid_instance(m, n, random_seed=1):\n",
" random.seed(random_seed)\n",
" grid_graph = nx.grid_2d_graph(m, n)\n",
" for i in range(m):\n",
" for j in range(n):\n",
" grid_graph.node[(i, j)]['position'] = (i, j)\n",
" for u, v in grid_graph.edges():\n",
" grid_graph.edge[u][v]['weight'] = random.randint(1, 99)\n",
" return grid_graph"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"g33 = make_random_grid_instance(3, 3)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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ONB7KqSzR2CPiUidgJvAR8DmwFhgJXA+MSWnzG+A94C2g7376OjiH/yWIjvps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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a658278>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"plt.figure(figsize=(8,4))\n",
"g33_node_position = nx.get_node_attributes(g33, 'position')\n",
"draw_graph_with_weight(g33, g33_node_position, 'An instance of the minimum spanning tree problem', with_labels=False)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"t33, u33 = kruskal_union_find2(g33)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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r1q2ek5PjdXV1wQYWMc8884x/4QtfOOj52267zefMmRNCRJlHbiS3YcMG/7u/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NWrF3JycnDbbbeZHRZRtRqYHQBVLyMjw+wQiKge4mcHEREFcvjwYUybNg2dO3fGF198gQ8++ACr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BzTffjMcff7zKz01JScHq1avxySef+CEyMhtzgzxhfngvmJtXIwVTbR4xYgS6d++Oxx57rMrP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hXw9vZGz549MWTIEPz88892jpCMxM+OUlQau9KLc4OLzCWnqhobG6seHh6akpJSrNelpKSo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PvJI2srKyAAA3b95Eeno6AMDNzQ2ZmZl6hkVENmLnzp34448/ULduXezcuRO7du3Kv50/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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ac096d8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"draw_forest_and_union_find_tree(g33, t33, u33, with_labels=False)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import time\n",
"import numpy as np\n",
"\n",
"def mst_time(max_size=10):\n",
" log = []\n",
" for m in range(2, max_size + 1):\n",
" gmn = make_random_grid_instance(m, m)\n",
" \n",
" size = len(gmn.nodes())\n",
" \n",
" start_time = time.time()\n",
" mst_mn = kruskal_simple(gmn)\n",
" simple_kruskal_time = time.time() - start_time\n",
" \n",
" start_time = time.time()\n",
" mst_mn = kruskal_union_find(gmn)\n",
" kruskal_union_find_time = time.time() - start_time\n",
" \n",
" log.append((size, simple_kruskal_time, kruskal_union_find_time))\n",
" return log"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"log = np.array(mst_time(40))"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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hFQ57HDgPeDCEsBuwoGLIlSRJkiTVTFHRHAoKRlJcXEZpaQ4ff9yHl1/Oq9ch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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10aae4b00>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"plt.figure(figsize=(16, 8))\n",
"plt.title(\"CPU time of Kruskal's algorithm\")\n",
"plt.xlabel('instance size (# of nodes)')\n",
"plt.ylabel('CPU time')\n",
"plt.yscale('linear')\n",
"plt.plot(log[:,0], log[:,1], 'o-', label='simple Kruskal')\n",
"plt.plot(log[:,0], log[:,2], 'o-', label='Kruskal with UFT')\n",
"z = plt.legend(loc='upper left')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"ランダムに問題例を作ると,単純な実装でもそんなに悪くない.\n",
"\n",
"単純な実装に対して意地悪な問題例を作って試してみる."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [],
"source": [
"def make_intractable_instance(n):\n",
" g = nx.Graph()\n",
" g.add_node(0, position=((1+n)/2,1))\n",
" for i in range(1, n + 1):\n",
" g.add_node(i, position=(0,i))\n",
" g.add_edge(0, 1, weight=1)\n",
" for i in range(1, n):\n",
" g.add_edge(i, i + 1, weight=i*2)\n",
" g.add_edge(0, i + 1, weight=i*2+1)\n",
" return g"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def mst_time(max_size=10):\n",
" log = []\n",
" for n in range(1, max_size + 1, 100):\n",
" g = make_intractable_instance(n)\n",
" \n",
" size = len(g.nodes())\n",
" \n",
" start_time = time.time()\n",
" mst_n = kruskal_simple(g)\n",
" simple_kruskal_time = time.time() - start_time\n",
" \n",
" start_time = time.time()\n",
" mst_n = kruskal_union_find(g)\n",
" kruskal_union_find_time = time.time() - start_time\n",
" \n",
" log.append((size, simple_kruskal_time, kruskal_union_find_time))\n",
" return log"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [],
"source": [
"log = np.array(mst_time(2000))"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
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uJEmSJDWRM8+ERYvgj3+05GbJxagkSZIkqQkMHQrjxsFf/wprrpl1mvbNoitJ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\nSato4kQ44gi45prcr5JaBou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ee8HOO8OUKXD66dCxY9bJJKl9suhKkiStog8/hLPPhq99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\nRERCioKuiIiIiIiIhJT/D1NHwV8ZYp5IAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10aaeea58>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"plt.figure(figsize=(16, 8))\n",
"plt.title(\"CPU time of Kruskal's algorithm\")\n",
"plt.xlabel('instance size (# of nodes)')\n",
"plt.ylabel('CPU time')\n",
"plt.yscale('linear')\n",
"plt.plot(log[:,0], log[:,1], 'o-', label='simple Kruskal')\n",
"plt.plot(log[:,0], log[:,2], 'o-', label='Kruskal with UFT')\n",
"z = plt.legend(loc='upper left')"
]
}
],
"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": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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