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@yogabonito
Created August 15, 2017 19:37
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Try out networkx-metis
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Using networkx-metis"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's try out [networkx-metis](https://github.com/networkx/networkx-metis) which allows us to partition a `networkx` graph. If it's working, then it will be very useful for generating initial solutions. This would mean that we don't need a `GeoDataFrame` for generating a initial solution (the current implementation of the `AZP` needs a `GeoDataFrame` because the K-Means algorithm is using the geometries' centroids)."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import geopandas as gpd\n",
"import libpysal as ps\n",
"import libpysal.api as ps_api\n",
"import nxmetis # networkx-metis\n",
"import networkx as nx\n",
"import pandas as pd\n",
"\n",
"# the following imported function can be found at: \n",
"# https://github.com/yogabonito/region/blob/master/region/util.py#L407\n",
"from region.util import region_list_to_dict"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As an example we'll use the Columbus data shipped with `libpysal`."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"columbus_shp = ps.examples.get_path(\"columbus\")+\".shp\"\n",
"rook_columbus = ps_api.rook_from_shapefile(columbus_shp)\n",
"graph_columbus = rook_columbus.to_networkx()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This function will do the partitioning (based on a `networkx` graph) and plot the result (using a `GeoDataFrame`)."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"def partition_plot(n_regions):\n",
" # partitioning: based solely on a networkx graph\n",
" region_list = nxmetis.partition(graph_columbus, n_regions)[1]\n",
" # plotting\n",
" gdf_columbus = gpd.read_file(columbus_shp)\n",
" column_name = str(n_regions) + \"_regions\"\n",
" gdf_columbus[column_name] = pd.Series(region_list_to_dict(region_list))\n",
" gdf_columbus.plot(column=column_name, categorical=True, legend=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 1 regions"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Partitioning Columbus into 1 region works as expected."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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PPpsnvvmWym4gbGaDQfVgj3NUgVXpduh0Ok4+8UR+2rWLC4cPb7O9oigMmTuHfZWVvDPj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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fed7aaec048>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"partition_plot(n_regions=1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2 regions"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The result with 2 regions looks good too."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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N5oCNde2IESz89htKrFav89Cmx3VBkRKXy9Wm5VEcLhdVNhv3338/vXr1arNx\nG2Pr1q2MGzfOo7Yul4vLLrsMvV5PWloaGzdu5N1338XpdNKjRw9CQkLQ6XQEBwdz1llncdtttxEZ\nGdlkfzt27ODZZ5/111fpkKgCqxIQ0tPTmTJlCkvXruWv48cHbJz4sDCCjEbe/vlnbvMyh2yoyYQA\nskuO0TO26Uqu/ubz7dvR6XTtLq5QK7Bz5sxpsZ2UkptvvpnKykoWLVrkl19I0dHR5OXlYbPZMPmw\nSNkZUONgVQLG/Q89xGvr1lIS4MTWGV268OWO7T7dq9dq2VvUtukx/7N1K4kJCW06ZmNUV1eTlZXF\n8OHDW2z7+OOPs2bNGh577DG/zfbj4uKIj49nw4YNfumvI6IKrErA6NOnD1decw23/feTJlev/cHk\njAy2Hz7s071mg4H9xUV+tqh5NuYdYsjQFquNBJxt27YxaNCgFmePb7/9NkuWLOGZZ54hKCjIrzbU\n1NQQ7cGuvc6KKrAqAeWJp58m1+HgHxvWB2yMa4ePoNJmo9iHTQOhJhM5JSUBsKpxFEXhSHk5U6dO\nbbMxm8IT/+uPP/7IHXfcwTPPPBOQlIoajabdU0YGElVgVQKK0Wjk/Y8+YuHKlXywaRNQu8jz9MoV\nFPgpU350cDAhJhP//vlnr++NsFjIb6OQMoCvd+5Eo9Fwxhntnwdp69atjG3Gb33gwAEuueQS5s+f\nH5Ck2wUFBZSUlJzW8bfqIpdKwElPT2fl998zY+o0HvjqS6pqaqix2+kTF0fXMP8ITZQliGdXrST7\n2FHsLhdOtxu7y4XD5eLHrCy0daFNbilxKwqKlCh1gfelXuavbQ0fbd1C1w6Q3MVms7Fnzx5GjRrV\n6PWKigqmTp3K9ddfz8iRIwNiw5EjR+jduzchfizH3tFQBValTTjjjDPYnbWf0tJSLBYLN86cSbW9\n9QlFrA4HvR6eT2XdhoGfDhxAq9Gg02jQa7TotRrsLhfXDB/O0KRuBJmMhJlMBBtNhJpMPLtyJRvb\ncLvs+txcBneA+luZmZn069ev0Rhap9PJ5ZdfTv/+/bn88ssDZkNFRQXBwcEB678joAqsSpuh1+uJ\njY0FICQ01KvdXsu2bOaHffupdtipstuxOhxYnU7yy8rQarV8f8cdjH3uOTbPveeEml6KohAx968s\nnH5ho/kK+sR3YdW+fa3/ch6gKAqHS0uZMmVKm4zXHFu2bGnU/yql5MYbb6S6upr58+cH1IZdu3Z5\nFMHQmfHZoBpMAAAgAElEQVTIByuEeFMIUSSE2N7g3KNCiF+FEFuFEN8KIbo2ce91Qoh9da/r/GW4\nSucmJCzMq6qut37wAd/u3sWOw4UcqazEpSiEm80M75bMR7Nn079rbdhT5klVbQ+VlQE0mQyme0wM\nVkfbbJf9ft8+EILBgwe3yXjN0ZT/ddGiRWzatImFCxcGfPNFZmYmZ57pe0WKzoCnf4P/BF4E/t3g\n3NNSygcBhBC3UVu6+6aGNwkhIqktMTMUkMAmIcRnUsr2S8Kp0iHQ6fW4leZDtypsNj7dto1fC/Kx\nu1xsmnsPwc2EFIWZzXy7excDEhPrz+0vLkbXTJXa9Ng4HG6391/AB97fvIkucXFtUjW3ORwOBzt2\n7GD06BMTlX/00UfMnTuXjz/+GHMAd98dx2azEREREfBx2hOPBFZK+YMQIuWkcw2rxQVRK6AnMxFY\nLqUsARBCLAcmAe/5YqzK74uJS15kX1ERMSEhXDZocLPiCpAUEckvB3NOOHfw2DGMen2T9/SIiUFK\nidXh8Ln0jKesPXiQ/sOGBXQMT9ixYwe9e/cmtK5umsvl4sEHH+SNN2orQYV6UU+tNcTFxZGVlcWI\nAOeraE9a9QwghHgMuBYoBxoLqEsADjU4zqs711hfNwI3AnTr1q01Zql0UhRF4XBFRd3qv5PdhYV8\nNOcGj+t7ndE1nrXZ2Secyy0tIagZ4TTodGiEYG9REQMbzHwDQX5pKX+ZNCmgY3jC5s2bSU1NJTs7\nG0VRuPrqq9FoNLz11ltMmTKFnJwc+vfvH3A7EhMTycrKCvg47UmrnlWklA9IKZOAd4D/a2Vfr0kp\nh0oph3a0GvEqbcPV//oXfRc8yuAnHmfkokWEmc1eFU88s3t3Ck8qw11QXt5iMm6DTse+AO/mWnvg\nAIqUTYZFtSVJSUnk5uZy5pln0q9fP0aMGMHixYuJiopCr9eTl5fXZra428g90174y4v9DvAltf7W\nhuRTW/L7OInAaj+NqdKJie/alcdefplSqxWzXo9Jr+ernTsYk5bGnDFjCDEYCTGZ2Hn4MGFmM2Em\nExaDoVn/5cQ+fbE5Pzjhcf9oVRV5ZWVMfPEF4kJCmD912ikFFS0GAweKjwb0+763cSOxMTHt7n8F\nmDBhAhMmTAA4pXqsyWTisI/bjr2lsLDQ40xenRWfBVYI0VNKeTy+5UJgdyPNvgEWCiGOe7InAPf5\nOqbK6cPVV1/NHXfcwT83rMeo09UH//+Sm8um3FzcUtZm45fyFOe+gN+y+AtRH/eq02oB+OzXX/lj\n3V7/+yZM5LU1ayisKOfLnTuJCw3l6YtOrIMVZjaTWxrY7bJrDmbTrwPs3jqZk0vDBAUFUVTUNrkZ\nQkND2b9/f5uM1V54JLBCiPeonYlGCyHyqJ2pThFC9AYUIIe6CAIhxFDgJinlHClliRDiUeCXuq4e\nOb7gpfL7Jioqijtvuw3trl08ONEzv6TN4aDcZqOspoYKWw0VNjvlthqqbXYqbDaq7HZe+OF7fsnN\nqRfY4SkpDK/bijng8YXYnK5TbbFY/LZttylyjh3jTxMnBnQMfxAcHExxcdtkFxs/fjxLlizh4Ycf\nbpPx2gNPowiuaOT0G0203QjMaXD8JvCmT9apnNbMuuEGJo4dy/3nT0DrwaOzyWDAZDAQ18wq949Z\n+0+JhT2OTqPB4T5VYGNDQsgNYPnuLYcO4VYUzvKhrE1bEx4eTmkblTKXUp62eWCPo+7kUmk3+vXr\nR0JSEt/t3ct56el+6XNIt268s3Fjo9d0Wi12128Ca3M4OFRWSo3DwcFjx3jnl59RlNocBW6pnPLZ\nLSVSKnXvtVEP9ecUiYJscA7csrbY4Mo9ewgPC2vTqgm+4nK5cDhav4XZE1JSUti1a9dpnXC74/+L\nq5zWzLzxRt5+402/Cez43r154fvvG72m02hw1q1ab83L45znFnPcAymBuz/5BACBoO5Pbf0rgLr3\n364JxAlt6o6P19aqexdCUFRRQXrfvn75foHkyJEjbNmyhaeeeqpNxouMjCQmJob9+/eTkZGB3W4/\n7YRWFViVduWKK67gvrlzKamuJtIPyZxHp6TiVhRySkpIPqkelF6rxeGqFdjlu3cRbraQ8+ijfLF9\nO9e/9RaHFz7e6vEbI/6B+5k8eXJA+vYn8+bNo2vXrs2mMGwtiqKwe/duNmzYwPbt28nKyuKyyy7j\n8OHDuFwuysvL0dYtVp4OqAKr0q6Eh4czdcoUlm3Zwp/8sC9dp9Nh1Ok474XnCTGZatMSKgoSyK1L\nrN370Ucot1pJjooCandzORvxzfqDMqsVq91eHxbVUcnJyWHz5s0sWbLEL/0pisLevXtZv34927dv\n5+DBgxQXF2O1WhFCEBwcTFxcHBMnTmTKlCm11S+uvJKioiLiO0A6R3+hCqxKu3P5lVcyY8YMPtm2\ntb60jITGP0s4Hrh1/PzBY8fQaTQk1u1rdysKUpGMTElBKwQaoUEjBAeOFqPTaunTJR69VsOF/QcA\nkBoVhaTWJ2vy83bZ9zZtxGwyER4e7td+/c1DDz1Eamoqw7zcyqsoCuvWreP777+ntLS0Xkirq6sR\nQhAUFERcXBy9evXikksuYfTo0SQnJzfaV5cuXcjLy1MFVkXFn0ysC1+qsNmICgo6xQcKJ39ucB3B\nr/n5WAwGuoTURhcUhVRi0Ol46Q9/9Gh8g06HEIL9R4/Sr2ujSeF85sPNW+jZAarHNseuXbvYtWsX\n//rXv5psoygK+/fvr5+RZmdn1wvpcbp370737t256KKLGDVqFKmpqR6Nv3nzZn744Qfy8vIoacPy\nPW2BKrAq7Y7JZOLmG28kNj+fv4w71+v7+y98jHE9e/H3yy4DYOman5j3xZde9WHQatlbXORXgbU5\nHGzNO8SiO+/wW5+BYP78+fTp04c+ffqgKAoHDhxg/fr1ZGZmkp2dTVFREda6qg9BQUHExMTQvXt3\nZsyYwahRo/jkk09YtWoV77//vk/jz5s3j2uuuYavv/76tMsPqwpsJ0NKyb///W9qamrQ6XRotVoi\nIyO58MIL29u0VjF1+nQW3XMPf/HhXpeiYGgQAjWpbwZ3f/IJLpfL49Aos8HAwWPHfBi9aZ5ZtQqT\nydRh41+PHj3Kc889x4EDB4iPj2fcuHFUV1cjpSQoKIjY2FhSU1OZPn06I0eOJC0trdGtvidvt/WW\n8PBwrrzySgYOHNiar9MhUQW2k2G327n++uu5ZvRoQOCWCp//+iu/7tjRpG+rMxAaGordx8QfbkVi\nbCCkSRERaDUafsw+wLienj2ehxiN5Pk5wP4fG9YztoPstS8rK2PVqlWsX7+evXv3UlRUhNPprL+e\nnp5Ov379GDlyJD169GjTnAkRERFttj23rVEFtpNhMplI6tKFu84ZS2rdKniVw8GPP/7YqQU2ODiY\nch+LD7qlgkF3YmhPVFAQq/bs8Vhgwy0WDp+Uias13P3xx5TV1HD77bf7rU9Pqaio4Pvvv2fdunXs\n3r2bI0eO4HA4MJlMxMfHM2DAAEaPHs3atWtZuXIlK1asaFX8qaIorZrBms3mE3y5pxOqwHZCenTv\nTtbR4nqBHZ2YyA/ffcfVV1/dzpb5Tnp6OgcKC3G63ei9jIN0Kwpm3YlJtdOiotiU63kxw2hLEMVV\nVV6N2xTvbdzI6+vWMn/+fCJPisUNJGVlZVx00UVUVVVhNBrp0qULGRkZzJ49m3POOeeEAoO7d+/m\nwQcfZMGCBe0e3G+329ukgkJ7oApsJ6Rnenpter26VKmjUtP41+f/a1+jWonZbMZgMDD91VeIbyLX\nwIQ+ffjjkKGnnHcrp85gByUl8cm2Xz0ePy40hNzc1rsIvt21k1s+eJ/rr7++zYsbPvLIIxiNRj79\n9NNmqxIoisIdd9zBgAED/BKfezyEzlc2btzI/Pnz+eCDD7BarVitVmpqaoDa3V5RUVFER0cTFRVF\nbGwsl156KYYAV5/wF6rAdkJ6pqeT9fnn9cf94uPJP3yYY8eOEVU3q+2MVFRVsdPtpqT6VFfB0eoq\nfszKalRgFSkxnTSDPbdXL5auWePx2Anh4azcs9ejtkcqKtiSl0dmQT77i4vJKSnhSGUlJVYrZXVu\njnfffZf3338frVZ7wkun09W/9Ho9er2e6OhoFi1a5LGtjXH06FF++uknnnzyyRZLvixatIiKigoW\nL17cqjGP09pFLrvdjhCChIQEjEYjJpMJo9GIlJLKykrKy8spKioiKyuLb775hu7du3eaMjOqwHZC\nevXqxfLSsvpjnVbLsLQ01qxZw/Tp09vRstZx5vDhzB00mHN69jzl2r82rOfeTz9t9D63omAynCiw\nZ3fvgUtROFJR0Wz2reMkR0ZS3aC67I/79/P0ihWU22qocjgor6mh0mbD7nQiqd12G2w0EhkURJeQ\nEEalpNAzNpb5X37J3LlzCQkJwWq1YrPZ6l92u73+3eFw4HA4sNvtfP/99xw9epTokxKBe8P8+fPp\n0qVLiwmsDxw4wEcffcSDDz54gsugNbR2BmsymZg0aRJTp05tse2uXbtQFKVV47UlqsB2Qnr16sX+\nk0qcnJ2czLv//nenFtgzBg5k++GCRgW2Z0ws9gar3g2R8sQoAqhNbWg2GPh6106uGzGyxbG7RUbi\nqMu0tT47mwtfe5XesbEkhkfQ22Kha1gofePjGZSYSPfopisTPPzVVwwaNIgePXq0OCbU+kLXr1/f\naK4Cb2aFUkqee+65FtstWbKEhIQELrjgAo/7bonk5GQ+/vhjLrjgAs4880yuvfZar3ZjSSk9DqcT\nQrRa0NsSVWA7IWlpaeQdPXrCgtANo0Yz4rnFfPfdd522DMfAIUP4sYndROldutRXOThZ3BQpsehP\n9cl1DQvjp6wsjwS2R3QMLkXh1/x8pr7yMpP79uWd62d6/R0EtSn/PKG8vJw5c+YwePBgHnvsMdxu\nN1JKnE4nUkqklLjdbo/6CwkJ8UjUgoKC/B6CdeWVVzJ06FDeeecdli9fzmeffcYaL9wzQgiPUyQK\nIU6vGawQ4k1gGlAkpexXd+5p4ALAAWQBM6WUZY3cexCoBNyAS0p5qgNNxWsMBgMJcXHklJTQo65A\nZJDRyBNTp3LLDTew9pdfOmW9+cTERAorG1/Jj7RYEMCoZ54hwmLm2YsvoW+doChSYtKf+l85PTaW\n7R7Wl0oICwNg/AvPMyYtzSdxBUCIE+JLm2P16tVIKXn55ZfbLO60S5curF+/3u/99urVi4cffpgd\nO3Ywa9Ysr+7VaDTY7faWG9L5BNaTf9V/AifX9FgO9JNS9gf20nydrXFSyoGquPqXHt27k3VSaY+p\nGf0Yn5xMr7Q0nnziifrtjZ2F+Ph4CiubjkV97ILpdI+O5pfcXP6XmVl/vtZFoD+l/cjUNA55uHmg\nrG7VOik8nP/ecKOXlv+GAI8F1u12o9Vq2zSoPyEhAZvNFrD+fUk1qNVqPbaps7kIWvyXlVL+AJSc\ndO5bKeXx55b11FaLVWlDeqans//oiQIrhGDhlKl8ecONrFu2jF5paTzy8MPs3t1YPcqOR0VFBcEG\nY5PXbz3nHN6dOZNgoxF9g7AsRUoshlMFdmKfPlTabB7NeCa9tASzXs8vf53bKsHz5nHX7Xa3avXd\nFyIiIgJasUCj0XgtgL/3GWxLzAK+auKaBL4VQmwSQjQ7LRBC3CiE2CiE2NhWRdc6M7379iWridlZ\n77g4/n3lVbxzxRUUfPcd5555JmekpzN/3jxWr17dYXfN7Nixg/TYmBbbnfwDLAFzIz7Y3nFxaITg\nl9ycZvv7y38+4sDRo2y6595WJ3sWXrgI3G53m5fxfu2110hLS2vTMZvjwIEDuFwujwXWFwFvT1q1\nyCWEeABwAe800eRMKWW+ECIWWC6E2F03Iz4FKeVrwGsAQ4cO7Tx/g+1E7969+biF1G6DEpMYlJjE\nE1OnsSHnIF/+9BP3vv8+mbm5pPfowZizzyY9I4MRI0YwZMiQNrK8abZv20bvyJbjeOPDwvjlYAPR\nlBKz/tQZLNRugV2xew8jUhpPnffF9u28uW4d/7zmWhL8kLNV46XAKoriVVKa1rBnzx727NnDO+80\n9ePaepr6HsXFxaxZs4YtW7awf/9+CgsLqaysrE8sc4aHJc1dLhf6Jv6tOyI+/6sKIa6ndvFrvGzi\nV4qUMr/uvUgI8QkwHGhUYFW8o1evXuw/csSjthqNhlGpaYxKrZ252JxOtublseHgQTb++isP3Hsv\nR44ebffdMRs3bGDqqNEtthuSlMTHW7cy/ZVXsDodSMDUxA9dSmQkP+ccbPRalc3GzLff4qphw5gx\nYEArLD8RTwV20KBBOJ1OzjvvPFavXu238Zvi4Ycfpnfv3vQKYH7a4z7SJ598kt27d1NQUEB5eTlu\ntxuTyURMTAwpKSmMHz+e0aNH06tXL69m8Xa7HaOxaTdSR8MngRVCTALmAudIKRtdSRFCBAEaKWVl\n3ecJwCM+W6pyAt26deNYZSXVdjtBXv6HM+n1jExNZWRdQuTMwkJ++uknzj236VysCx5+mMOHD5Pa\nowepqan1L39FK5SVlbFr716G/bGxCvEncu2Ikbzzyy/sLy6iV1wcVw4d2uT22oEJiXyze9cp5xVF\nYfwLzxNkNPLCZZe32v7jaLzwwfbt25dly5YxY8YMv43fFDt37mT//v28++67AR3nuH/0xx9/JCkp\niWnTpjF8+HAGDRrkl1/gTqfz9BJYIcR7wFggWgiRB8yjNmrASO1jP8B6KeVNQoiuwOtSyilAHPBJ\n3XUd8K6U8uuAfIvfIVqtlrRu3dhXXMzAxNatMU7o3oMP33+f7du389N337Fn717S0tL45H+1+Q2k\nlDz99NPcNXYsB3bvYXVFBTmlJeQUFaHRaEhJSiIlJYWUHj346ptvePzxx0lKSiIpKYnY2FiPZijr\n1q1jcGpqkzPRhoxMSeHOcefy3OrvuGPcudzYTC2vsT178vYvP59wbmteHhctfY2S6mpmjRrlVz+o\nEBrcXqRdPL61ubH4Xn/yyCOP0KdPH483QPjKcRH9vMFWbn/icDhOL4GVUjY2pXijibYFwJS6zwcA\n/z13qZzC1OnTeX3tOl5spcBO7NOHc55bzKT+/bk4ox9DevbkpV9+qb9eUFCA3eHgrO49GJyUVL/y\nLaWktKaGnJJj5JaUsnfffvbu3csbCxZQUF5OQUkJZdXVxMfGkti1K4lJSSSlpJCUnExSUhKJiYkk\nJiYSFxfHnj17SI9ueYHrOPOnTiXIaOCeT//LJ79u45M5NzRaT2t879443G5KrFbsTid/+fg/fL1z\nJ6PT0thVWEiUHyrZNkSj8dwHC9RnsqqoqAhY3a5ff/2VAwcO8MEHHwSk/4YEetGus5X2VndydWIe\nePBB0nv0YGteXqtmsQMSEvjy5lsYnZaGEIIteYd4f9+++uuxsbE8NG8ec159FYtGw7WDBjNr1Cj0\nWi2RFguRFguDEpMA+Ot5553Qt83p5HBFBfllZRSUl5G/ew/bN27k28oq8svL6kXYaDBwcb9+Xtn9\n1/POZ2Kfvlz42qskPfQg/eLjmdSnL7NGjSImJAQAi8GAXqtl7OLF5JaWkBAewetXXsUlgwaROu8h\njFr//gh4s8h1HCEER48eDZjALliwgIyMDI9rZLWGQJfcPu1msCodl7CwMBY++SQ3PPggX95wY72o\neIsQgjHdu9cf6zVaysrL6x9b9Xo99z/wAPfedx+rV6/mzv/7MxEWM5cPbjnywKTXkxoVVZ+7tjHs\nLhfX/vtfrMnO9tr2/gkJ7HvwIV5ft47Pt2fy4g/fs/DbbxC1X6w+05NRr+Pzm2/hzAbfU5ESrda/\nMy5fBFar1XL06NGAPL5v3bqVgwcPsmzZsvpzNpuNTZs2McrP7hHwLn+CL6gCq9KmzJw1iwNZWVz0\nz3/wv9lziLBYWt1nRnw8MSYT9997L489/jharRaHw8Fbb71FdHQ0V8+8nnWffeaRwHqCUafjkoED\nufXDD326X6fTcdNZZ3FTXe0rm8NBTmkpbkVBr9U0mZxFkdLvM1ghhMe5CI6j0+k45ud6YMd59NFH\nSUpKYtmyZWzdupVDhw7V7/B76KGH/Jr0BQI/g1UUpU1C2vxF57FUpUkeWbCAqspKLvvXP/lk5ixC\nWumjEkLwzlVXM/vDD5j0yy9cM3Mmjz70EN2Cg6lxuth8MJvucXF+sr6W6f3O4IZ33+XA0aOktSJt\nH9Rm0urtgX2KorD7yBGyimurQ/hjNqfxQWANBoPfalIVFxfzzTffsG7dOvbt20dpaSkajYZVq1bR\no0cPJk+ezHnnncett97KunXr/C6wbb1xoqOjCuxpgBCCZ//+d/5UXc2015fy0iWXkuFFurjGiAsN\n5b8zZ7Fw+XJeXfg4iyZOYlxd/OS+oiJ2exiD6ykmg4GY4GCeXP4tr15xpV/7booBCYl8uHkTb/28\nAQl89qebGk2V6A1ajcZrgTWbzT7NYBVFYd26daxatYrMzEzy8/NxOBxYLBaSk5OZMmUK48aNY0Aj\nMb59+vRhx44dXo/ZEqrAnogqsKcJQgheff11Xl+6lOn33MONI0dy59hxJ5Sz9hadVstDk07O8wM9\nY2PpGRvbGnMb5W8TJ/GXj//D4xfOINIPro6W+PKWW+o/h//1br9EFPjig7VYLJR6kJRm//79rFix\ngs2bN5OdnU15eTkajYaYmBj69OnDNddcw/jx47F48Hc3atQoVq1a5ZWdnqAK7ImoAnsaIYTghhtv\nZPKUKdw4axbjXlrCixdfXL/C39G5ftQoFi7/lotee5Xvbru9zX5YD5WWIqWkb5cure7LFxdBcHDw\nKQJbXFzMihUr2LBhA/v27ePYsWO43W7CwsJISUnhoosu4rzzzvN5V9bYsWOZN28eJSUlfi3MqArs\niagCexqSmJjIF998w1tvvcVld9zBtUOGMnf8eI+C+NubD2fNZvJLSxj4xOOs/ctdBLdBzOOm3Fy0\nQmBzubC0creRNy6CoqIi1q1bR25uLlVVVcyYMYOKigoqKyuB2pltYmIiZ511FmPHjmX48OF+EzCL\nxYLZbGbVqlVceumlfukTms5F8HtF/ds4TRFCcO211zJhwgRuvuEGzn7xBZ6cOq3ej9pRGZiYSOb9\nDzD62WfIeGwB71w/84TQqkBwXu/eRAYF0X/hY+z+24OtEonGZrAlJSWsWbOGrVu3sm/fPgoLCymv\nC4MzmUwIIQgODmbIkCF069aNt956i+HDh7Nw4cLWfrVmiY+PZ8OGDX4VWJUTUQX2NKdLly58/Nln\n/Pe//+XO224j4+efWTB5crNxqe1NdHAw2+9/gIuXvsa0l1+iX9cEls2eTXxd1QF/E2wy8ev9D9D1\n/vvIPHyYQUm+uVTyy8qorLGxceNGrr/+eg4fPlyf6MRoNBIVFUVSUhIjR45k2LBhDBgwoNH9+b/8\n8gsFBQWt/VonMGPGDLRaLQMGDGDQoEGcddZZZGRksGnTJr+OE+gZbGdKVQiqwP4uEEJw0UUXMXny\nZJ5ZtIhzn36aOSNHcf/557d5wmdPMehqNwbsKzrC5W++ScaCR7lt7Djme1B51BcsBgMGnY7c0tIW\nBba4spIVe/awPjubzMMF5JSVUVZdjasuB0GwoL6w4NChQxk8eLBXiU5SUlL8nl2rpKSEmpoa3G43\n3377LY888ghCCL8LYiB9sFJKampqPFrE6yioAvs7wmQy8cDf/sb1M2eS3qsXfxo9mmg/lW4OFD1j\n49hy730s+f575n35BS98v5qE8HCGJnVjar9+TM3IwOZy8e3uXazJOkByVCS3nHlWo3kJWsKo05HX\nYLHpSEUFK/bsZl12NjsKC8kpLaWsuhq3omA0GIiKiiIxKYkpY8cyZMgQ3n33XbKzs/niiy9a9Z2T\nk5Pr/bD+4uWXX2bmzJnccMMNTJ06FZvNxrp166iqarwGmq8cF9hAJK+x2WwYDIZO5eftPJaq+I2E\nhAT0Ol2nWvG99Zxz+NOYMXy1ayefb99eW5dreyaOulmjUacjJiSEY9XVPL1iBatvv8OjzQYAOSUl\nfLdnDzaXi2dWruCZ776jzFonpEYjUZGRJHXrxgXnnsuQIUOanJHefffd3H333a3+rqGhoV5l5PKE\njIwMLr30Uh577DHGjBlDeHh4QKsPB0Jgq6urCe7gE4KTUQX2d4rb7UbbQd0DTaHT6bjgjP5ccEb/\n+nOHSkuJMJvrow0URWHSS0s4e/Gz7Pjbg/UzdJvDwaZDh/j3zxuwu1zsKSomv7ycyhprbVVakwmX\nouDS67n44oub9ZE2hsPhwOl0Mn369FZ/z+DgYL8LLMDcuXP58ccfueWWWwKeFzYQVRqsVishPubb\naC9Uge2kuN1urFYrbrfbpyxMbkWhxGolxGjsVDPZk0k6KeG3RqPh61tuJWPBAjIeW4BBr6faZsNd\nN6NSFIWkxETSevXknL59GTp0KH379kWn0/Hyyy/zj3/8g/z8fG5psAnBE47vxPKHqAQHBwessN8r\nr7zCxRdfzJtvvul1ee32Rp3BqvgVt9vNgQMHyMzMJDMzk/27dnEgK4sDBw9SVFKC2WDA4XKxa/du\nunsZyjRm1CjOf+VlyquqiIuIICEigq6hocQHBdE1JJSuYWEnvHQBTuLhTzQaDcvmzGHMs89wyeWX\nM2bMGDIyMlpcHLn55pvJysri4MGDXo9ZXFzst19UoaGhAVstT0hI4JZbbuGll17i/PPPJ8nHiImW\n8HazhSdYrVZCm6hc0VHxpKLBm9TW3iqSUvarO/c0cAHgALKAmVLKskbunQT8HdBSW+ngCT/aftqy\nfft2Xvz733nvvfcIDwqiX9cE0qOiGBUVxRXDhpM6aTLxoaFoNBpuWraMb7/9lptvvtmrMb5ZuRKo\nTWBcUFBAXl7eb6+cHDbl5pK/YzsHc3M5MzWVNz0o5dKR6Ne1K0mRkRQWFjJs2DCP76uoqCDIhy2z\nJQnuVVEAACAASURBVCUlfsskpdPpAhqOdN1119X/n/nss88C8gQTiBl4VVXVaTmD/SfwIvDvBueW\nA/dJKV1CiCepLSFzT8ObhBBaYAlwPpAH/CKE+ExKudMfhp9uOJ1OPvnkE15cvJh9e/cyc9hwfv7L\nXS3Gfo5NS+Wbr77yWmCPYzQa6+trNUZmZiaXTwlMaFSgmTNyFAtXrvDqnurqaoqKivjwww+ZPn26\nx9nzS0pK/OZzrKmpCXj43EsvvcTkyZN56qmnuPfee/3ev7e/ICoqKti7dy/Z2dnk5ORQWFhIUVER\npaWlVFVVYbPZcLlcpKen+93WQOJJyZgfhBApJ537tsHheqCxrSDDgf11pWMQQrwPXAioAtuAw4cP\n8+rLL7P01VdJjYhkzrBhXHDRxeg9nA2d06Mn9z3/99pFqwA8xvfo0YPsoiO4FQVtJ/PVnpGQ4HEB\nwuPcddddvPzyyzz//PMsWrSIxYsXM2bMmBbvKy8v91s56aNHjyKl5JVXXkFRlBNebrcbKWV9ye/j\nr+Pn3G43Tqez/t3lctUfu91uXC5X/WeLxcJ//vMfpkyZQv/+/Vs2zAuOL9I5HA4OHjzI/v37OXjw\nIAUFBRQWFlJaWkpFRQVWqxWn04mUEq1Wi9FoJDg4mPDwcKKjo+nbty9JSUmkpaVhs9n4+OOP/Wpn\noPHHr9xZQGPFfhKAQw2O84ARTXUihLgRuBFqK6aezhz/4Vm9fDnfLl/OxQMG8tE11/qUYjA+LIzY\nkBC2bt3KkCH+SYDdELPZTFxUFLmlpR1691djPLFiOem9e3t1z+DBg1m6dClQu/tp5cqVHglsZWWl\n38qe19TUAPDJJ58AtRtFjj/GazQahBCNvo5f0+l0aLXa+pdOp8NoNKLT6epfer0enU7HTz/9xOuv\nv87zzz/vF9uPM336dJxOJ4qiIITAYDBgsVgICwsjMjKSjIwMEhISSE1NpWfPniQlJbX4BJCfn09+\nfr5f7Qw0rRJYIcQDgAt4p7WGSClfA14DGDp0aOfaD+cFu3bt4v9uuolVP/zAg5OnsOieewkzm1vV\n59lpaaxYsSIgAgvQs0eP+qTUnQWHy8XGnByeeMJ3t398fDw5OTketfWnwB7P3/rNN9/4pb/meO+9\n93jxxRf93u/s2bMZPHgw3bt395vfNCYmhsLCwoBX4PUnPlsphLie2sWvq2TjDpd8oOESZWLdud8l\nxcXF3PKnP3H2qFGcFxFB8RNPcvf48a0WV+D/2zvzuKjK9v+/zyzMDCA7LuACKj4iLrmmmVuWiaZP\nWpq4W2q2WWbWt8w0+5ZlZvrLMs0tKzWfTMtvqLmVS+K+LyGKC4IsCsg2Mwzcvz9g5kFlmRlmGLTz\nfr3Oa84czrnv6wBzzX3u+7o+F90bNmJbdLQDrCydJuHhxKWmOq19ZzD/j51o3NwqFUwfGhpKspXC\n4jk5OQ6rFWWWD9Tr9Q5przwGDRqEyWRie/Gip6OIjIykVatWDl2UcnNzw8vLixUrVnD69GmuXLnC\n33//jdForLYaBXY52OLogDeB/kKI3DJOOwiESZIUKkmSGzAE+NU+M+9dCgsLWfDFFzRr0gRiYzn4\n+mRe6tK1UkLYd9K5USNiDh1y2geySXg4cek3ndK2s1i2fz8PF9fospfw8HAyMu4KjimVnJwch5WT\nNj/qW+vcK4NKpSIiIoLvvvvOoe06K453woQJrF69mieeeIKOHTvSq1cvdDodgwYNckp/lcWaMK3V\nQHcgQJKkBGA6RVEDGmBr8WpnjBBigiRJQRSFY/UpjjB4GdhCUZjWMiGE42tUVGMSEhIYM2IEmVev\nsmn8eJrUdGwdKzM+Oh3hQcHs27fP4emP169fZ9uWLXjbuFjkSib/vI7rmZl8/corlWqnTZs2GAwG\nqx5JHR1CpFQqSU5OpkGDBg5rsyxGjhzp8EgCZ2SiQdG8+JNPPnnbMYPBwLBhw4iOjqZPnz5O6dde\nKhzBCiGihBB1hBBqIURdIcRSIURjIUQ9IcQDxduE4nMThRB9SlwbLYRoIoRoJIT40Jk3Up0QQvD9\n99/TpmVLOrq7s3n8805zrma6hoSw1YFzdkIIvlywgBbh4fzLZGJOv8qngFYFc3dsZ+m+fcyaNYs6\nlaxLFhwcjCRJxFtRTjwnJ8ehQfAqlYrUKpqW6dq1KwUFBQ7rTyoul15VaDQaJk2axCuvvILBYKiy\nfq1BzuRyMGlpaUwYO5Yzhw+zbvRoWgXXrZJ+uzduzAdbtkAZizpCCDIyMkhNTSU1NZWUlBRSU1NJ\nTk4m9fp1UpOTycjMZPGyZdSrVw+9Xs+M997jxU4PMblnzyq5h8qy5vAhZm7axOuvv84jjzzikDa1\nWi3Hjh2rMFMuNzcXbwfq1SqVSmJiYnBzc8NgMFg2o9FoeTVv+fn5llfzvkajoUuXLvTu3bvCqQuF\nQoFarebUqVMOewJy1gi2LDp37syGDRuYM2cOU6dOrdK+y0N2sA5k48aNTBg7lqebt+Crl152eomW\n1KwsDl6+zPFrCZxKSuLAqVM80bs3GrWajIwMMjMzi7asLDKystBpNAR6eRNQw5MADw8C3N3x1+qo\n4+FO/MWLXDUaCQwMBIrCs7bt3EmvRx6haa1a9G3e3Kn3Ull+Pn6MCWvWMHLkSIYMGeKwdn19fTl3\n7lyF5+n1eofWtsrJyWHz5s3s2LEDhUJx26ZUKlEoFKWGY5lDsG7cuMGnn37Khx9+SEBAAIMHD2bE\niBFlhkLpdDri4+Md5mBdsej02muvMXr0aAYPHkxYJasDOwrZwTqArKwsJk2cyLboaJY89TSdHVDi\nJFuv58z165xLTiYuNZXTSYkk3bpFpl5Pek4OucXB2WqlkhpaLTU9PQn09KSdUklDXz+8goLw1urw\n1unw0mrx1unQlPHhupiWxtw//2Tbn3/eNtpp1aoVv23ZQp9evXBTKnksPLzS92ULSZmZbP/7b3zd\n3ct18Ev/+ovJ638mKiqKl19+2aE21K5d26opAoPBgL8Dw9hq167Nww8/zFtvvVXxyeUQHx/PsmXL\nWLJkCYsXL6ZLly6MHTv2rmKJSqXS5qSM8nCGFkFFBAcHM27cOAYPHkxMTIzDojoqg+xgK8muXbsY\nPWwYXerXZ8/EV/Eq53HMZDKRmJXF0atXSc/JIS4tjavpN0nMvEVaTjYZeXnkGAwYTSYERfWdtGo1\nnhoN2QYDKknBoDataR4URJt69Wleu7ZD0jNfXLeOqdOnW+IvS9KuXTt+jY6mf58+LBk8mO5hzqvp\nZTCZiImPZ8f582y7EMe19HQe6tSJEzt30CciotT00Y+2bGb2tm2MHz+e7t2789tvv3H+/HlMJhMa\njQY3Nze0Wi2aYtWwvLw8cnJyyM3NZe/evSQmJhISEoJGo0Gn0+Hu7m4pCKjT6cjJySEpKYmNGzfi\n4+ODn58f/v7++Pn53Rb3mp+fT0BAgMN+FyqVyiHziaGhoXzwwQe8//77/PTTT3z//fcMGzYMnU7H\nQw89xOTJkwkMDESSpCp/rHcGgwYN4vDhw7zxxht88cUXrjZHdrD2kpmZyZhRo1j/yy+0qVePzKws\nhi5fxi29nmyjkRyDkbx8I0aTifyCAgoKCyn50OTh5oanVoufuzs1PWvQMSSEED9/GgcG0qxObRoH\nBKIu4TxHrfyWv1NSmfuU4wvUXUhLZdDgwWX+vGPHjqz75Ree6t+fb6OGOmSEXpI1hw+x4exZ9p4/\nT9OwMHr368fi//2A9u3bo1QqCQsJ4UTitbvms/ss/Iq9Fy4AsHLlSrZt20br1q1p06YNnp6e5Obm\nkpuba3GqJpMJb29vatasibe3Nzdu3CAhIYHQ0FDy8vLIzc0lLS0NvV5vmc80z33Onj0bk8lkSU01\nI0kSSqUSk8nExx9/zB9//EHPnj3p1KlTpb78VCqVQ0eUCoWCwYMHM3jwYHJzc1m7di0//vgjffr0\noW7dupasK0cg2VG63FFIksTUqVMZOXIkPXv2vCvioKqRHawdFBYW8ki3bhw5fpxAzxqk5eSgN5nw\n1mqp4+WNn4c7/h6eBHp6UMurSPqvrk+RHKA9pUwAvLQ68vKdEypVz9+fq1evEhwcXOY5Xbp0YdV/\n/sPQQYNYNXwEHUJCHNb/9C1beGfGDL4bOrTUx+z+AwYQffoMrYLrcjM3l02nT/Hz6TOcz8zkueee\nY/To0bRq1cpmMeZ27dqRnJxsV7aXyWQiIyODmzdvkpaWxquvvkpISAhHjx5l8+bNFp3exo0b07Fj\nRyIjI6lZs6bV7avVaqetiLu7uzN69GhGjx7NxYsXmTp1KgkJCQ4tU+PKwH8vLy/ef/99xo0bR5s2\nbVyaei87WDt4c/Jkrly8iKdGQ9yMGVXSp6+7O3n5+U5pu7G/Pxt/+YWOHTuWe96jjz7Kt6tWMXTo\nUNaOGk0bB2mJNqpVi4iIiDLnMJ8cOJCRgwZxKCmRAxcv0rNHD55952369+9vl7SgmfDwcC5evIgQ\nwmb1KpVKRUBAAAEBATRp0gSFQsFrr71mUXuKjY3l999/5+DBgyxfvpwFCxbg5uZGcHAwrVq14tFH\nH6V9+/bo9XrOnTtHbGwsly5dIiEhgdTUVK5cuULt2rXtvreyyM7OJi8vz7Lp9XomTpzI5MmT2b59\nOxqN5jZdg9JezTHBSqXyNh0E81ZYWEh0dDQxMTGWJwGTyURkZGSVqWG1atWKqKgonnnmGXbt2uUw\nIR5bkR2sjSz44gs2rl3LrCf68eLa0jRunIO/hzt6JznYmY/35pGvvqRzly4VBmpHRkYy/qWXWL5z\np8McbGM/P2JjY8sMrercuTNPDRvGgx07sr5PH4cF9Pv6+uLp6UlycrJDnFnJOcwmTZrctpCUm5vL\n9u3b2bVrF/v27ePXX3+1PJIrFAp0Oh01atTAz8+P0NBQunbtysCBAyttU0kOHTrExIkT8fPzw93d\nHQ8PD8sWHBzMpUuX2LlzJ0IIywZYtV/yvVqtJjo62hLdYP7yWr16Nd26dSMoKMgSCVEyIkKn06HV\navHw8LDYl5WVZYmKuHnzJunp6RYlrqysLKKiouhZRhjh8OHDOXLkCFOnTmX27NkO/V1ai+xgbWD5\n8uV8OGMGW56fQF6+0VKmuSrw9/Ak30n91fbyYnTbduzZvduqTJgdW7bwagvHyds19PEhtpxQKKVS\nyWdz5zqsv5KEh4cTHx/vEAdb3hymu7s7/fr1o1+/fpZj7du3Z/v27VWm0p+bm0vPnj3ZtGnTXT+7\nceMGoaGhThPgBti8eTMLFy7k9OmihE6zzKIQwiLFaJZhLCnLCEXxyG5ubmg0Gssi5M2bN5k3b16Z\nDlahUDB9+nRGjhxJt27d6Oukku/lITtYK8jOzualCRPY/8cfrB/zLCH+/uQZjQicU9ytJG/8vI4t\n586RfOsWCieKMAshUFihJxsbG8uFuDgeHVT2opitNA4MZNUZ18gEN2vWjPj4eDp16lTptuxZJKqo\njI0jKS/Dyt/fHx8fH65eveq09NzevXvTu3dvm65p37490dHRlvjsksTFxREVFUVmZmaZSR6+vr7M\nnDmTMWPGcOTIEerWrZrEHzP3huaXCzl+/DjtWrWi4MJFdr74Es2K0y91xYtV127dcmr/Px45Qq0a\nNfh0wAAOv+V45XkzhcWCx+Vx69YtZr7/PgNatLRaELwisg0G4lJTibtw0SHt2Urz5s3tqsF1J5Ik\n2eRgzavszvxyvpOKUljbtm3LyZMnq8yeisjMzAQoc26+cePG1KhRgw8++ICtW7cSExPDmTNnSEpK\nui2KoXXr1gwePJhnnnmmyqMb5BFsGQgh+OrLL5nx7rt81Kcvz5SitapSKLh04wYNHJjBcyeeWi2t\n69Zj1IPlL0BVlkJud7BCCM6fP8++ffvYu2sX+/buJf7KFUwmE/0jKpfVVVBYyO4Lcaw5dpzo06d4\n+KGHmPuFYwWfraVZs2YWge3KYo+DrUoqcrCjRo3i3XffpW/fvk4vWWMN5gVMo9FYZrrvsGHDWLly\nJfv27butwoNSqaRbt25MmTKFgIAARo4cyeHDh5k2bRqzZs2qsnuQHWwppKen89yoUVw8eZLfJ7xA\no1IeTwDUKhVX09OdaouvTkdipnWSeZWhQAhiY2P56KOP+OuPP9h/8CA6tZoOISF0CAom6vHetAgK\nYkZ0NKsOH7Krj9iUZNYcOcKaY8cIrFWLkc89x7xhv9gUvuRomjVrxoULF+yKJCiJJEnk5ORYfX6+\nkxYsy6MiB9u/f3/efvttDhw4wIMPlll8pMpQqVRIkkRiYiINGzYs9ZznnnuO55577q7jGzZsYPHi\nxfTp0wd/f3+ys7MxmUykpKTw4YcfVplgt+xg72Dfvn1EDRpEZOMwFk14ocz0UgCtWk1S8WOMswjw\n8CTFgfGJZRHq58/uAwfwvZbI4Hr1mPPKRIJKmdea1KMHX+76k7jUFBoHVuwYb+bksO7YUVafOEHi\nrVsMHT6cTXPn0qJFC2fchs0EBgZaVqkrk4nl7u5OXFwcXbt2tep8V2RNVeRgFQoFb7/9NgsWLKgW\nDhaKFjivXbtWpoMtC7Os4ZAhQ1i4cCEPPfQQ7u7uVT4ylx1sMYWFhXzy8cfM+/RT5g8YQB8rHoM9\n3NxIuuVcB1vH24uDl6/YfX3yrVt8vWc3Qd7ejOv8cJnnjejQgREdOlTYXmCNGtTx9mbO9u18XUYp\nb6PJxJazZ1lz4ji7z5+nT2QkH375JT179qzSOUdradq0KRcvXqyUg/X19bVKs8BMdRzBAkRFRfHu\nu+9y8OBBm8qdOwu1Wk1KSord1+t0OlQqVaXipStD9ftvdwHJycmMiIoi+9o1dr78MnV9fK26zkur\nJTU726m21fPxZdvff1t9fmFhITvPn2fpX3v5Kz6e9NxcvLRasg0GBrR6gAAHxJD+u0UL/nP06G3H\nhBAcuXqV1ceOsv74cZo1a8bIl17ih0GDqiwMyV4iIiK4dOkSHaz4gikLX19fYmNjycjIwMvLq8JH\n0Oo4BwtFDm3x4sWMGDGChQsXEuLAjD17UCgUlarU0atXLxYuXOhwIXprsaaiwTKKam+lCCGaFx8b\nBMwAwoEOQohSJ+UkSboEZAEFgEkI0c4xZjuODRs2MGDAACb17Mm7z41FZcPquLdWyw0b5t3sITTA\nn5wKctIzcnP55q+9bDhxgnPXr1MoBI0CAxn94IM8/3AX6nh7E/7BTCasWc1PY8dV2qbXH+nJ13v2\ncDEtDTeVkh+PHOXH48coUKkYMWYMB1asIDQ0tNL9VBURERHs2bOnUm0kJyeTlJTEY489ZjlmDqRX\nq9Wo1Wo0Go1FVMbMlClTLKI0JYVpNBoNWq3WspnFZ8ybORjfHJxvLdaksPbu3ZtZs2bx+uuv8803\n3zhUJcwW9Ho9OTk5PPxw2U9eFdGyZUt27tzpQKtsw5oR7ApgAbCyxLFTwEBgkRXX9xBCpNlumnMR\nQjB3zhxmz5rFnAEDGWdFaeY78ffwIP7GDSdY91/CAmtiKOVxMiY+nm/27uHPCxdIzcqihlZL+/r1\nmTxsGE+2aHnXCOrzp55myPJlXE1Pp56vdSP0sqjl5UVtLy96L/yKfODpp59m2dS1dOrUqVqsPttK\nREQE33//faXaqFWrFnXq1GHRokXo9XpSU1O5efMmN27cID09nYyMDDIyMsjKyiI7O9tSb+vatWuW\nVNKCggLLa8nNvDJuDsi/M4OqJHeW8C6pISuEoFYt6yprjB07lsuXL/PGG2/w1Vdf3falUFXExMSg\nUqkqFZerVqurpHhkWVToYIUQuyRJCrnj2FngnvwwQVHiwLMjR3Lh2HG2v/Ai9e0Mswr09OREYqKD\nrbudJjVrUigE2Xo93+7fz0/HjnI6KQmjyUQDf38GtGzJC1260rCC+cPezZoR4ufP+NWr2PTiS5Wy\nqbCwEE8PD54eNYrp06c7rNifqzBrElSGlJQU2rUrekDTarXUq1ePeuWkEsfGxjJ8+HBWrVpVqX6h\naKRnVgPLycm5TWvArDdgdvq2VI+dOXMmly9fZtq0aXzyyScVxkk7moKCgkqv9ru5uXHLybHq5eHs\nOVgB/C5JkgAWCSEWl3WiJEnjgfGAU9Vvzp07x8B+/ehQsxabxo+vVNWB2l7eZDtQ8aiwsJALaakc\nTUjgTFIScalpXM0oCgMLfncq7m5uPFC3Lp8NGMgzbdvaXJl2weDBPLHwK86nJBNWiRphv5w8iXfN\nmnz00Uf37JdsSerUqUN+fj7p6en42jm6z8zMpHHjxlafbzQaHfa7M08jVGR7QUEB69atIysryyrl\nMUmSWLJkCY8//jjz58/n9ddfd4i91qLVaisloVhYWMiUKVN4+mnHS3xai7Md7MNCiGuSJNWkqALt\nOSHErtJOLHa+iwHatWvnFK2zn376iRfHj2fao48xygFhKMHe3jYLsBQWFvJXfDxf79lNll5PYmYm\naTk5ZOv1GM151yoVXjodAZ6e1PX2ZnCbNrzWvQcRQUGVsvfhRo1oWrsOL61dy+8v21dx9VhCAm9u\n/JUf16+/L5wrFDmSpk2bEh8fX6aTMplMHDx40CJC4ubmho+PDzqdDrVaTV5eHs2aNbO6z/z8/Cr/\n/SmVSho1asTp06crVE4z4+bmxvr16+nUqRNr1qxxaDmeivD09KyU7GFBQQHXrl1j3rx5DrTKNpzq\nYIUQ14pfUyRJWg90AEp1sM7EZDLx9ptv8p8ffuA/o0bRuq5jVKB83YsUrn47dapIaNug55beQHpu\nLpl5eWQZ9GQbDOQajWg1GnIKCjidkIBKpSL91i3a1qtPi6AgmtSsRUSd2rSpV59gHx+H2FYWQ9q0\n4bOdO+y6dmdsLOPX/shXS5bQvXt3xxrmQlJSUjAYDEydOpW6detSu3Zt6tatS2hoKGFhYTRo0ICX\nX36ZI0eOlJsSa0uspqsEqRs2bMjJkyetdrAAPj4+bN68mY4dO+Lj42OznoC9eHh4OEwE3FU4zcFK\nkuQBKIQQWcX7vYCZzuqvLFJSUnjmqadQpqfzx0sv42djPJzeaOSHQ4c4mXiN86mpXMvM5EZ2NjkG\nAwXF366jv/8OpSShUipRKhRoVCp0ajVatRqdWk1sSgqdu3Rh1tSptGzZktOnT/PWuHFsHjfeGbdc\nLt2bNGHGpmibrtkdF8fHf+zkel4ey3/4odrVnreXixcvMnv2bNasWUOnTp0ICgoiOTmZM2fOEBMT\nQ25uLvnFtc8Avvzyy7tCuQoLCzEajXTr1o3z58/Tpk0bq/p25BSBLYSGhnL8+HGbr2vQoAHbtm2z\nKFdVhZP18PBwqXC3I7AmTGs10B0IkCQpAZgO3AS+AAKB3yRJOiaEeFySpCBgiRCiD1ALWF/8T6QC\nVgkhNjvnNkonJiaGQQMGENWyJW/3/zdKOybMP9m2lc937qSujw/B3t50Cgkhok4QbevVo3XduhVW\nKNgVF8dLv2zg5w0bLMHOrvynaRkUhBCCC6mpZaYAmzmacJWZW7dyOSuL9z74gKFDh1bLRAFbuXbt\nGpMmTWLbtm08+eSTrFmzptwkg8zMTLKzs0ut+KBQKCwapidPnrTawRYUFLjEwTZu3Ji1a9fadW1E\nRATbt2+nZ8+eCCGIjIx0sHW3cz9MQVkTRVB6ug6sL+XcRKBP8f5F4O4qelWAWajl/WnT+GLAQCIj\nIuxuK9tgINjHh1NT37Xr+m8OHGDazJm3ZZKo1Wqu3rhhlZNzNAqFAg83N3bE/l1q30IIDl25wpd/\n7WX/1atMmzGD58aOdZkivDP466+/OHPmDOvXr7cqw8fb27tMOTwz/v7+xMbGWm2DK+ZgocjBnj59\n2m7tBbOT7dWrF0lJSYwZM+a+cITO4r6TK8zNzWXUsGEsnD2bLRNeqJRzBQj29iH51i0ycnPtuj7L\naLgrKuLBBx9kzIQJTFi3rlK22Uttb28OXL5827Fco5Fv98fQ7asvef6XDXSOiuJ8fDwTXnjhvnKu\nUJQaq9frHZo+GRwczJUr1qc0m0wmlzgmf39/CgsLLXG49hAREcHBgwc5cOCAXfXM/kncVw72woUL\ndGzXDsOFC2x74UUaOaCM8sTu3Qnw9CRqxXK7rtfn598VpK1QKHhl4kT+Tkp0yXRBI39/ziUnk2Mw\nsOXMGV7/ZQPNP57F1qwsPlm4kNj4eCZPnlylYtBVSVhYGAkJCQ5daGrUqBGpqalWn+8qBytJEmFh\nYZXWfQ0KCuKPP/5g06ZNLg3kr+7cNw5248aNdGrfnlHhzVg8aDAqB8mRKRQKRrTvwPkKPjy39Hoy\n8vLIy8+noHjls7CwkAspKaUGnAcEBCCQnJ5qWxqt69bjdFISTf73A748e4ZGkZEcPnGCXzdt4vHH\nH68yKTdXodVqCQoKIiEhwWFtRkRE2BTQ7ioHC/+NJKgsnp6eNG3alHPllPtxJdVhgezeX7GgaDGr\nf//+qFUq3t+8ibd+2UBBQQHLhg/nqQdaV7r9GlotxnJGOwaTicbvz0Cr0WDIz8dgNKJQKFArlTQM\nCSlVMOOTWbOo5e2Fh0ZTafts5anWrVl2+BAXLl+2udT1/ULTpk25dOmSw8RM2rRpQ35+PoMHD7bU\nlCosLCQxMREPDw9L0Lx5MxqNLgtBatiwISdOnHBIW126dOHYsWM88MADDmnPUZw9e5a33nrL1Wbc\nHw62Q4cOnD9/3hIE7u7uzthRo8gzOkYSzlunxVRQ9och26DHw92dGxn/FcY2mUwYDIZSV91/++03\n5s/5jJ0vv4zOBfObYYGBZGZn3xcRAfZiLnboqHhen+L45eDgYGrUqIFKpUKtVnP58mXq16+Pt7e3\n5ZharebAgQOcuaMOWU5ODklJSSQnJ5Oamkpqairp6eno9XrefPNNh6UkN2rUiM2bHRPQ88gjjzBn\nzhyHtFVZrl+/zooVK/jzzz9JSyuSP/Fxclx5RdwXnzCFQnFXmmJ+fj5qdfkhVNZyKjERQdmPgkgl\nwgAAEtVJREFUGzkGIx53zLOqVKoyHVjr1q0xiUI2HD+Ov4cHnhoN3cLC8Kyi0WxyVhY1ikdV/1Tq\n169vU16+NSgUCp599lmrxMSTkpKIiYmhU6dOt80FS5JkUeAyK2pdv36drl27WvVlkJOTQ3R0NPn5\n+WWKx2RnZ3Pu3LlKV3GAohHs8OHDHfo0YA0mk4ndu3ezbds2zp8/T3JyMrm5ufj5+dGlSxfGjBmD\nUqlk/PiqjzUvyX3hYO/kxIkTbNu+nZfHPFvptqb/9n9889dffDag7Br1KVlZBNqwoBYUFMTKVavY\n8NNPHE1PZ+3qVfz6/AS6hYVV2l5rOJpwlbYPPPCPDa/58MMPmTt3Lu+8845D21UqldywUl1twoQJ\nhIeH4+fnx+eff06NGjVYunRpqfPfDz/8sNULSadOnWLVqlUMHDgQlUplEZw2j57N+/369XPI39/P\nz4/58+fz/PPP07dvX/r37+9wR2symThy5Ag7duzgxIkTJCYmkpubi1KppE6dOoSFhfHkk0/Ss2fP\n29TCEhISXB4Bc1862G8WLaJpYCDhVtS6H7J8GYeuXKHALAdnrtNevOnz8/l6yBCGtC1byjbbaCDz\n1q1yywffSWRkJJGRkaxcuZId27ahU6vJLyhwWLXW8jiacI32Dz3k9H6qI6tWrWLp0qWsXLnSauk+\na1GpVKRbWaPNy8uLfv36WWzS6/VlLi4qlUpyrQwT1Ov1tGrVivnz51tntAN49tln6dKlC9988w0v\nvfQSNWvWJCIigrCwMEJCQlCr1SiVSpRKJd7e3gQEBCBJEiaTiczMTNLT0zl79izHjh3j6tWrZGRk\nWJTAADp16oRCocDf358mTZrQt29f2rZtS9OmTcu1y2QyyQ7WGXzy6af079OHsT+u4d/NIlArlYTX\nrl2qpF9scjJeGg3PtGmLWqVEpVDiplSiVha9tq1f31Kquyy6NQ6jZ8hZnujdm11//WXTyKBDhw4M\nHTmSydu3cenKFYZ16MDHfZ+w+Z5t4WjydV6qhHr/vcqVK1eYOHEin3/+ucOdKxQlkGRk2F6gUqlU\nlhsyplKp+PTTT5k7d65F7xX+q/1acjOZTISHh9t9D/YSFhbG7Nmz+fDDD9mzZw9HjhzhyJEjbN68\n+bbpirS0NPLz89FqtaSlpeHj44O/vz+JiYnodDqCg4MJCwvDy8sLHx8fNBoNjz32WKlZdBVRUFDg\n8nWG+9LBuru782t0NG+98QYbrlwhPz+fmPXrmffkk/S7Y36sU2gof8TF8VavXnb3J0kSnzzRj2af\nfEx8fLxNoh9NmzZl/oIFAEQNHoxHhnNrfAkhOHr5skW79J/EokWL6NWrl9MckJubG5l2FMFUq9Xl\nFkFcsmQJcXFxtwlwmx2Wed983JZsMmegVqvp0aNHuSVaUlJSyMvLo27duhaN2a5duxIVFeXQOmBy\nmJYTcXd354uvvrK8P3ToEE8+8QRxN9KY1P2/f/zezZqx5vBhCgsLKxX/qVAoaNugAYcPH7a5AibA\nsWPH2LFtG4cnv2G3DdZw+MoVfHx9Caqk9OG9ijPrg2m1WrvEnVUqVbkONjQ01OoSPH/++afDF+8c\nTWll2j09Pa2eBrEWDw8Psp1cM68i7u+I8hK0a9eO/YcP89nOnbeV2u75r6YoFQom/vSfSvdR093D\n7gqYb06axJvde+Dl5JX9748cYczYsf/IBS6tVuvUaq4KhcKu9suTQLQVrVZ7T2ZW1ahRwykONqsK\nSt6Xxz/GwUJRjGLTxo1vq6Pl7ubG4qihfH/gAHsuXKhU+wE6rU3pkmZ+//134v/+m9E2aHTaQ47B\nwIYTxxk1erRT+6muaDQap+mwmvP7I+zQvigoKHBYORY3N7d7zsEajUZOnz6NpwMqHpfE3d2d7Oxs\nl2rK/qMcLBSJXdxZ5uXJVq3o3KgRr677ye52RXHEQer16zZf+8PKlejz83l/82a2nTtHjgPL0JTk\n/+3axaOPPmrXgsH9gF6vd9qix/r16zEYDISHh9v8gXZE7SkzKpUKYwVViKsbM2fOxM/Pr1LVY0tD\npVJRv359u/RvHWaDy3p2EfUaNGDK/21kd/xF+oSH06FBCEqFgte69+CZ5cvsbveno0f5NS6O1bNm\n2Xzt0hUrOHToEFt//5150dGM/OF7WoeE0D0khO6Nw2hdt65N5cRL42JaGt/E7OOoA3LQ71WSk5Od\nltkjhMDNzY1x48YhhECr1fLiiy8SFVWW2ud/ceQI1mg03lMJJIcOHeLrr7/mu+++c8q0VefOndm4\ncSOtW1c+Zd4e/nEOdtHSpRw9epT1P//MlHXrSL5+ncfDm9HQ1wcqseqYqdfz+OOP21SKw4xKpaJj\nx4507NiRae+9R3Z2Nrt372brli1M2rKFK1ev8nCTJnRvEEL3JmGEBda06Z9RCMGU/9vIlP/5n3Ir\nnd7v7Nq1i6effppLly7dVgK7sLCQkJAQ3CoQTy+Pp59+2lJc7/r167zyyivs3r27yh2sXq+/Z1TQ\n9Ho9w4cPZ9KkSQQ6SRe5c+fOLFu2jPfee88p7VeENRUNlgFPAClCiObFxwYBM4BwoIMQ4lAZ1/YG\n5gNKiioduFw8UpIk2rRpQ5s2bfjgf/+X+Ph4NmzYwH9WrUIA/Zcv4+F69Xm4YUPa1q+PxspHSjel\nEqODHu09PT0tiQhQNPLasWMHWzdt4v+tXElBfj7dw8LoHtqQbmFh1K5gZXxJzD4ylEpenzzZIfbd\niwghUKlUfPvttygUitu2lJQUxo4d67Dqo7Vr16ZWrVocOnSIIUOGoFAobotfNRgMGI1G8vPzMRqN\nZGdn06qVY7TpDQbDXfKY1ZWpU6dSv359elUiRLIiHnjgAS5evMjq1aut+rJzNNZ4jxXAAmBliWOn\ngIHAorIukiRJCXwJPAYkAAclSfpVCHGmrGtcQWhoKJMmTWLSpElkZmayZ88edm7fzrTt2zl3/jxt\nQkMtDrddgwZlOlw3ldJpc1+1atUiKiqKqKgohBDExcWxdetWNm3axFvzPqe2tzfdGzaie6NGdG7Y\nkBolHhH/Tk7m4+3b2bt/v8uzWlyJJEkcPXq01J9NmzaNpKQkh/ZXq1YtVCoVDRo0sIySocjR63Q6\niyiRp6cnNWrUoGvXrg7pV6/X3xMOdu/evXz33Xf88MMPTo1oUavVLFiwgClTpnDu3DlmzJhRpRE0\n1pSM2SVJUsgdx85ChTVzOgBxxaVjkCRpDfBvoFo52JJ4e3vTt29f+vbtCxTVYtq7dy87t2/nvW3b\nOLtiOW1LONy29eujLXZaaqUSg4PDTErDLJgcFhbGiy++SEFBAUeOHOH3339nYXQ0z65eRcv69enW\nIISujRrxzqZoPvjoI5o0aeJ02+5Vjh07RqdOnRzaZlBQEDqdjk8++cSh7VaEwWCo9lMEOTk5jBgx\ngjfffLPMMumOJCwsjKVLl/LKK6/g5+fHq6++6vQ+zThzDjYYuFrifQLwYFknS5I0HhgP3FVixVV4\ne3vTp08fSxXVW7duWUa407dv58yK5cUj3HqYCgowuiAtT6lU0r59e9q3b8/UqVPJzc1lz549bN2y\nhbc3b6Z5hw48P2FCldt1L6HVassN9LeV+Ph4fvzxR5c4usomzFQFH3/8MeHh4VVa+t3f3585c+Yw\nbtw4GjVqxBNPODcd3Uy1WeQSQiwGFgO0a9fO9TlupeDl5XWXwzWPcP/Yto221SC/393dnV69ehXN\na332mavNuSdo1aoV586dc1iV1JEjRxISEsKiRWXOoDkNhULh0rhPazh58qTD5pxtISgoiI8//phR\no0Zx4sSJKglXdOZX3TWg5JJ13eJj9w1eXl5ERkYye84cDhw7xsLFi11tkowd9O/fnz///NMhuesZ\nGRno9XoWLVrkkhFsRcIx1YFXX32VH374wSV2tmjRgoEDBzJx4sQq6c+ZDvYgECZJUqgkSW7AEOBX\nJ/YnI2MXLVq0wMPDg71791a6rd27d6PRaFw2D6pQKBw63eEMevToQVhYGOvXr3dJ/6NHj+bw4cNs\n3LjR6X1V6GAlSVoN7AP+JUlSgiRJz0mSNECSpASgE/CbJElbis8NkiQpGkAIYQJeBrYAZ4G1QojT\nzroRGRl7kSSJefPm8dlnn1UqzXT16tV8+umnNGjQwIHW2Ya7u7vL8++tYd68eSxdupT9+/dXed8a\njYYpU6YwceJEDE7KmjRToYMVQkQJIeoIIdRCiLpCiKVCiPXF+xohRC0hxOPF5yYKIfqUuDZaCNFE\nCNFICPGhM29ERqYy9O7dm86dOzN37ly7pgpOnDjB3LlziYyM5Ntvv3WChdbh4+NjqUdVnWnevDnr\n169n+vTpnD5d9eOuBx98kPr167Nw4UKn9lO9lxtlZKqQb775hnPnzvHzzz/bfG18fDw6nY63337b\npSLPvr6+dgkOuQJzFYR33nmHmzdvVnn/zzzzDKtXr3ZqH9UmikBGxtXUqFGDX3/9lY4dO9K0aVOb\nlLHS0tLQ2FC0sqCgAIPBgMFgQK/X37Z/53vzvvm90WjEaDTe9TODwUB2djY5OTn23L5LGDBgAAcO\nHGDatGnMnz+/Sr+cWrZsyalTp7h165bTdIKl6qD6fSft2rUThw6Vmn0rI+N01q1bx2uvvcabb76J\nyWSypLTeueXn51u2/fv3c/XqVXr06IHRaCzVWebl5VmOm8um6HQ6dDqdZd/d3d1yzPzefMyc/VXW\neeb9WrVq3VOKaQUFBfTu3RsvLy9eeOEFvL29qyzbasSIEXz//fe0bdvWpuskSToshKiwLIg8gpWR\nuYOnnnqK2NhYfv75ZzQajWXTarVotVo0Gg06nQ5fX1/L+2bNmqHX62nSpEmpTu9Oh6jRaP6Rouel\noVQqWbduHUOHDuWpp55Cr9cTEBCAv78/Hh4eeHh43PZ79PPzIyAggMDAQGrWrElQUJDdv8vCwkKn\njprlEayMjEy1Ii8vj+vXr5OcnExWVhbZ2dmW14yMDJKSkrh27RpJSUlcvnyZ3NxcWrRoQe3atRHm\nqtCFhRa1tJLHSr4KIdi3bx8HDx60uU6bPIKVkZG5J9HpdDbVIUtKSiImJobExESUSuVdaml3bpIk\nWfZfffVVp+p0yA5WRkbmnqZOnToMGDDA1WaUihymJSMjI+MkZAcrIyMj4yRkBysjIyPjJGQHKyMj\nI+MkZAcrIyMj4yRkBysjIyPjJGQHKyMjI+MkZAcrIyMj4ySqZaqsJEmpwGUHNRcAVH+BzIqR76N6\nId9H9aKq76OBECKwopOqpYN1JJIkHbImZ7i6I99H9UK+j+pFdb0PeYpARkZGxknIDlZGRkbGSfwT\nHOz9Uktbvo/qhXwf1YtqeR/3/RysjIyMjKv4J4xgZWRkZFzCfe1gJUnykSTpJ0mSzkmSdFaSpE6u\ntslWJEn6lyRJx0pstyRJes3VdtmDJEmTJEk6LUnSKUmSVkuSpHW1TfYgSdKrxfdw+l76W0iStEyS\npBRJkk6VOOYnSdJWSZLOF7/6utJGayjjPgYV/z0KJUmqNtEE97WDBeYDm4UQTYFWwFkX22MzQoi/\nhRAPCCEeANoCucB6F5tlM5IkBQMTgXZCiOaAEhjiWqtsR5Kk5sA4oANF/1NPSJLU2LVWWc0KoPcd\nx/4H2C6ECAO2F7+v7qzg7vs4BQwEdlW5NeVw3zpYSZK8ga7AUgAhhFEIkeFaqypNT+CCEMJRSRhV\njQrQSZKkAtyBRBfbYw/hwH4hRK4QwgT8SdEHu9ojhNgF3Lzj8L+Bb4v3vwWerFKj7KC0+xBCnBVC\n/O0ik8rkvnWwQCiQCiyXJOmoJElLJEnycLVRlWQIsNrVRtiDEOIaMAe4AiQBmUKI311rlV2cArpI\nkuQvSZI70Aeo52KbKkMtIURS8f51oJYrjbnfuJ8drApoAywUQrQGcrg3Hn9KRZIkN6A/8B9X22IP\nxXN7/6boiy8I8JAkabhrrbIdIcRZ4BPgd2AzcAwocKlRDkIUhRTJYUUO5H52sAlAghBif/H7nyhy\nuPcqkcARIUSyqw2xk0eBeCFEqhAiH/gZeMjFNtmFEGKpEKKtEKIrkA7EutqmSpAsSVIdgOLXFBfb\nc19x3zpYIcR14KokSf8qPtQTOONCkypLFPfo9EAxV4COkiS5S5IkUfT3uOcWHQEkSapZ/FqfovnX\nVa61qFL8Cowq3h8F/OJCW+477utEA0mSHgCWAG7ARWCMECLdtVbZTvHc8RWgoRAi09X22IskSe8D\nzwAm4CgwVghhcK1VtiNJ0m7AH8gHXhdCbHexSVYhSdJqoDtFylPJwHRgA7AWqE+Rgt1gIcSdC2HV\nijLu4ybwBRAIZADHhBCPu8pGM/e1g5WRkZFxJfftFIGMjIyMq5EdrIyMjIyTkB2sjIyMjJOQHayM\njIyMk5AdrIyMjIyTkB2sjIyMjJOQHayMjIyMk5AdrIyMjIyT+P+OVtMOUtvsywAAAABJRU5ErkJg\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fed7a949828>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"partition_plot(n_regions=2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3 regions"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"But asking for a partition with 3 regions gives us something unexpected. No region satisfies spatial contiguity of its areas."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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7QBFYBY9jNBqxWCxeH2fSpEl88MEHlJnN9Sa2bojIwEAyC1vGi8BsNlNcUsqs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\nVEsnnFGLAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fed78748908>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"partition_plot(n_regions=3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 4 regions"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A partition with 4 regions reveals similar problems although the red and grey region are fine."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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sDVz/yDWYVfUsXrK4+Q+nQsdpd5FLCPEZMBaIFEIUAg8Bk4UQ6TSGaeUBNza1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\n4RFYDx48eHAR/wd2DjV5f3g3wgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fed7aa31ac8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"partition_plot(n_regions=4)"
]
},
{
"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": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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