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@dfolch
Created November 4, 2017 20:22
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Geopandas intersection issue 2
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import geopandas as gpd"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"nybb_path = gpd.datasets.get_path('nybb')\n",
"boros = gpd.GeoDataFrame.from_file(nybb_path)\n",
"boros.set_index('BoroCode', inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"ename": "AttributeError",
"evalue": "'GeoDataFrame' object has no attribute 'sort'",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-3-9a5f7ea08a19>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mboros\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msort\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
"\u001b[0;32m/Users/dfolch/anaconda2/lib/python2.7/site-packages/pandas/core/generic.pyc\u001b[0m in \u001b[0;36m__getattr__\u001b[0;34m(self, name)\u001b[0m\n\u001b[1;32m 3612\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mname\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_info_axis\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3613\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 3614\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mobject\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__getattribute__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3615\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3616\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__setattr__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvalue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mAttributeError\u001b[0m: 'GeoDataFrame' object has no attribute 'sort'"
]
}
],
"source": [
"boros.sort()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>BoroName</th>\n",
" <th>Shape_Leng</th>\n",
" <th>Shape_Area</th>\n",
" <th>geometry</th>\n",
" </tr>\n",
" <tr>\n",
" <th>BoroCode</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>Staten Island</td>\n",
" <td>330470.010332</td>\n",
" <td>1.623820e+09</td>\n",
" <td>(POLYGON ((970217.0223999023 145643.3322143555...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>Queens</td>\n",
" <td>896344.047763</td>\n",
" <td>3.045213e+09</td>\n",
" <td>(POLYGON ((1029606.076599121 156073.8142089844...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>Brooklyn</td>\n",
" <td>741080.523166</td>\n",
" <td>1.937479e+09</td>\n",
" <td>(POLYGON ((1021176.479003906 151374.7969970703...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>Manhattan</td>\n",
" <td>359299.096471</td>\n",
" <td>6.364715e+08</td>\n",
" <td>(POLYGON ((981219.0557861328 188655.3157958984...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>Bronx</td>\n",
" <td>464392.991824</td>\n",
" <td>1.186925e+09</td>\n",
" <td>(POLYGON ((1012821.805786133 229228.2645874023...</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" BoroName Shape_Leng Shape_Area \\\n",
"BoroCode \n",
"5 Staten Island 330470.010332 1.623820e+09 \n",
"4 Queens 896344.047763 3.045213e+09 \n",
"3 Brooklyn 741080.523166 1.937479e+09 \n",
"1 Manhattan 359299.096471 6.364715e+08 \n",
"2 Bronx 464392.991824 1.186925e+09 \n",
"\n",
" geometry \n",
"BoroCode \n",
"5 (POLYGON ((970217.0223999023 145643.3322143555... \n",
"4 (POLYGON ((1029606.076599121 156073.8142089844... \n",
"3 (POLYGON ((1021176.479003906 151374.7969970703... \n",
"1 (POLYGON ((981219.0557861328 188655.3157958984... \n",
"2 (POLYGON ((1012821.805786133 229228.2645874023... "
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"boros"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x1232a0d10>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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hYrErOec0an8LduGJYcAT2BWcEUIEAb8BpmAvh/ybRg7oLaVtfb+bFfvzwDYp5TBgm/Kz\nyjVIQcZ5Lh491OIzT2v/B6Yj/DzbTamw2CTv7M7soxkNTLqj/AzwV+B/aLp9vwNYpch/HcQu4RUJ\nLAS2SinLpJTlwFbgZuWZn5TygCJisYqWlZ8bK0KrXEMUXrrI7o/eb/W5h6GyD2fTMh1Vmv70SA4X\nCvXXdC5Vd+iy8rMQ4nYgT0p58qpmnVV+jlZeX20HCJdSFoDdcQJhnZmviutTW1nBmhf/h9y0M622\n8bTUtvqsr/B017YbwwKYNiSYSH9PVuy91GJKg0rbdEn5Gfs28VfAiy01bcHWVeXnjs5NVX4eoGQc\nPYTF1HZsyGaowaefRRmOZpVxw/D2RXxTciqY+coOfvffNNIKqtptr9KUrio/DwESgJNCiCzsas3H\nhRARdF75OVd5fbUdoFDZMqJ8b7Hcoqr8PHDR6tq/O2eqq8PXs3/v2NWarPh04J5ffqXBcVfweI5z\nZ+Y7I11SfpZSnpZShkkp46WU8didzgQp5RXsas0PKaeFU4FKZTu3GVgghAhUgu0LgM3KM70QYqry\nXg/RsvJzY0VolWuA2soK9nz873bbGWuq+z3BMjHEh7hO5kx9c7qgRaEJldbpyAqrXvl5rhAiRfm6\ntY323wCZ2FUr3wN+CCClLANewi5ZfwT4P8UGsAz4l9LnIrBRsb8MzBdCpGM/jXy5E59NxYWRUrLl\n3TeoqShvt63ZaOxQ/Kg3eXZ+Eoc7eTXodF4l1/3vZp75+Dh5FXW9NLOBRXeVn+vbxDd6LYGnW2m3\nErvE/dX2o8CYFuylwE3tzVFl4JF+eD8Xjx7sUFuduweyh/NG754QjZ+nG58dvdykxAuAEA1Jomar\nJHSQBwtHh7MvvaRT9xkXjo5gy9krZBRVqyutDnJtF9dRcUpsVmur9dpbQqvTNpHE6gnWHc9jaJgv\nv1o0kl990fSEUiMEIb4ejIz042x+JQtHR+Ch03Imv+X0iuvjg5idFML1CcGUVBtJuVzBZsVR/fCG\nodw5PorBwT49Ov+BiuqwVJyOtL07Kc3Nab+hgrd/ENU5Pa/Zl1FUjVYIbh8bxYnL5Vwus2/brDZJ\nQaUBs9XGi4tHMz42AIBg34ZqoGNj/Fl2w1BiAr2aXXC+NdleZXTx63sprjYQ1IH7hSp2VIel4lRY\nLRYOrf9Pp/rYrGYCvN2pMfV8HGjdiTw+e3IaAKXVRt7fl8UbOzIAGB4xiNuSI9Eo28PHZyWw+4I9\nreYv949rJiLRmKgALzYun8WGk/ks++g4YYM8eO6WEYT7efb4ZxhIqJefVZyKk1s3Up6f237DRpzZ\nsZXnborvVJ8QXw+mJQYzImIQbcXrD18qo1i5Ixjs69GkAui+jFJ2pTfk/U1JsCeFAh1KCg3z8+Sx\nWYm8+9BE/LzcWPz6Xp7++LiaUNoG6gpLxWkwVFdzYO3Hne5XU1GO7uA67hg3ly9TCtpsGx/szdM3\nDmXeyHACvN2w2CSp+VX89LMULhY3vws4a1gIoYMatnoPXB/HIE83zl/RE+LrTmAjQVN3nYZdv7iR\nfRdLOrXNq6/rfvOYCP69LwuLTb220xpioN1pmjRpkjx69Gh/T0OlC+xe/T5HNnze5f7f+8u7vL6/\ngKIqA1vSmydlRvh5snH5LPy93Ei7UsXoqIbY0sXian73dSqjovzILa/jy5R8tBrBNz+exfCIQV2e\n00BHCHFMSjmpr95PXWGpOAX60hJObPyqW2OUZKQx+vRmAi+koZ/1Mw5cblgxaTWC1x8cT6CPO5fL\navnNl2f5z1PTHPWphoT68v7D1wN2sYifzEuisMrQI85Kr9ezc+dO5s+fj6enGqPqDqrDUnEKDq5b\ng8XcvWQqs9FA/vlUAKae/DcxE+7l6zwtdWYrP52f5ChhHObnwapHr0cIgc0m+TatEItNcmtyJGAv\nUezroSM+pHOpBkajEXd3d4cTNJvNlJaW8uWXX1JQUEBGRgaLFy/Gz8+PsDD1Hn9XUB2WSr9TXpDH\n6e1buj2OX0gYPgGB1FSUY6ksIWLHW7zx4BP4jZ3J5PggRzsPnZaPD+Xw4JQ4vjlTwDMfnwDgN4tH\nsXRavOPUryOcP3+eoKAgysrK2L59O08++aTDYW3bto2DBxuSXysrK/noo48ACAkJISYmBqvVioeH\nB+PHjycqKqpZRdLDhw9z5swZbrnlFiIjI7v8uxkoqA5Lpd/Zu+bDlksfd4LrbroZv7CIZld5io/v\n5aY7bm/W/sEpcQAczWpo/79fpfLalgvMGBrMS3eOIWxQ69u3w4cP4+npyddff42UErPZfqE5Ozub\nhIQEwO6UWqOkpISSkhLHz0ePHmXGjBnMnz/fYbNarVy5coWcnBw+/fRTli9ffk1LfIGa1qDSzxRk\nnOfCwb1dH0AI5j/xDHMfeYqqoiu4e3k1eXz9nfcCtFowz3KVo6w2Wth8tpAH3jnIsezWr9nU1dWx\nbt06TCaTw1kBlJfbHWBWVhZHjhzp1EfxumruNTU11Nbaa31VVFRw+vTpTo03EFFXWCr9yt5PPmi/\nURsMnzaL5LkLWffH35Bz5hQabUPVhkXL/4fE8ZNJSUlhy5YtJCQkEB8fz5AhQwgKsm8RH56RQMrl\nCs7kNa1NlVlSwwPvHmT/8zc1SWsAsNlsHDt2rMX56PV6ampq2LBhA2VlnbsMfeHCBYKDg9m9ezdg\nX4U1doZHjx5lzJgxaDTX7jpDdVgq/Ub2qRRyzpzq1hgTF93B6W2byTp5HACb1X5FZ+z8WxgxfTYp\nKSmsX78egLNnz3L27Fl0Oh333XcfSUlJDAn15fFZifxy3WlqrrqAbLVJDGYLVqsOreIIDQYDWVlZ\nuLu3nGe1Y8cO9u7d28TRdJScnBxyclq+kuTr60tAQABWq1V1WCoqfY3VYmbXRyu6NcbYBYsIiRnM\n2t/9uondLzSM2d97hLKyMjZv3tysn8ViYc2aNTz77LP4+flxx7ho7hgXzeWyWo5klXGhsJrEEB8C\n3a2U514kJjDZ0ffkyZNs3Lix2ZiN6Yqzag+DwcC8efNwc3Nrv/EA5tp11Sr9SuaxIxRnX+py/xse\nepybHnkKq9VCcGxck8qkyTcuoNZg5NNPP6Wurvn9Qh8fHyZMmEBdXR1Wa8OqKjbIm7snxPD0zGju\nmxxLSeoBMjMzm8S/xowZw/Dhw7s8765isVgcAf6WsNlsVFUN/JLLaqa7Sp8jbTZWPfdjSnKyujzG\nD//1MRqtDrOhDt+gYEx1texd8yFDJk0hcHAiq1atanIKV4+3tzdBQUGUlpZisViYNWsWs2fPts9L\nSqqqqli3bh1WqxWz2cxjjz3WbFVjNBqpq6ujtraWd999t8ufoSvMmzePmTNnNrPv3LmTAwcOcM89\n95CUlNRn8+nrTHd1haXSp0gpyTp1olvOCiDr1Ak0Wg0+AfZkUHcvb+Y+/CSBgxP58MMPW3RWALW1\nteTm5lJXV4fZbCYrq2Ee//znP/nrX/9KdnY2ubm5FBYWsnHjRgyGprqHHh4e+Pv7Y7H0fEmb9tix\nY4fjJLIem83GgQMHMBqNfPzxx+zfv3/Ayoh1WflZCPGqEOKcou78hRAioFGfFxQV5/NCiIWN7Dcr\ntgwhxPON7AlCiEOKwvOnQgh3xe6h/JyhPI/vyQ+v0vdYTEZ2fdi92BVAzumTuHl4UlRczF/+8he+\n/PJLzp07x+uvv05nlJOEEKSnpwPN0woAjh8/zuuvv86FCxea9YuNjUXXAZGMnsRqtTabS0FBAUZj\ng7LQli1b+M9//tPM0Q4EuqP8vBUYI6W8DrgAvACgPHsAGI1dwfmfQgitEEILvIldGXoU8J16BWng\nFeCvisJzOfCoYn8UKJdSDsUu2vpKdz+wSv8hpeTsru2dKs7XGkHRdqGlHTt2UFVVxYkTJ1izZk2n\nA96ZmZnk5eVhtVodJ4FXU1NTw8cff8zatWvR6/UOu5QSWzcTXrvCgQMHmsTeIiIi8PFpeo0oNTWV\n9957r9WVpqvSZeVnKeUWKWX9mvggDVJddwBrpJRGKeUl7MIS1ytfGVLKTCmlCVgD3KEo5cwF1ir9\nGys8N1Z+XgvcJK71VF8XRUrJhYP7ulQ+5moihw5n9Jx5VBUXNftD7cq8jh07xh//+EcuXWr7EODM\nmTO8+eabHD58GICqqqp+2XpVVFSwbds2x89WqxVf3+bFAktLS3n33Xc5d+5cX06vV+my8vNVjx6h\nQemms8rPwUBFI+fXWPnZ0Ud5Xqm0V3ExygvyKMg4T21l97T4vP0DWLT8F6z/0/9SnJPF4sWLHVdh\nuoper+9wPMpsNjtWVV5eXvj7+7fTo3fYv3+/455iVlYWhYWFLbYzmUysWbOGrVu3NlmVuSpdUn6W\nUlY1sv8K+7axXjWgJ5WfO6QKrSo/OzfG2lpqKso50wMXnBc8+SNObt1IUFQM/oMTWbNmTZPAeW/j\n7u7uSGvw8PDo9gqvO2zZsoXs7OwOOc19+/axevVqx1UfV6Wrys/19qXAbcB3ZcPauLPKzyVAgBBC\nd5W9yVjKc3+g2X0HVfnZuampKKPkcjbG2uYVPTvDsOun4xcSRsaRgyQvXsI777zDuXPn+mxbNnv2\nbB5//HECAwMdtlmzZhEQEEBcXFy3V3qdxWazsWbNGlJSUjrkODMzM1mxYgVXrlzpg9n1Dl1Sflbs\nNwPPAbdLKRu77Q3AA8oJXwIwDDiMXTx1mHIi6I49ML9BcXQ7gCVK/8YKz42Vn5cA22V/BA1Uuoyh\nuprS3BxSd2/v1jhefv7MWfoYW997gxsffpINX3/dKxnlbXHu3DkCAgKaBNpHjBjB8uXLCQgIIDs7\nu0/nA/ZL2AcOHGjxhLMlSktLee+990hLS+vlmfUO3VF+fgMYBGxVbG8DSCnPAp8BqcAm4GkppVWJ\nQT2DXbI+DfhMaQt2x/dTIUQG9hhV/bn3CiBYsf8UcKRCqLgGFpORo199wZWMC+03boMFT/6Yk5v/\nS0hcPKVmW6sxm96kqKiIbdu2OVZ0UkqsVivr1q3j1KlT/XJiWE9paSkRERGt3nFsjNVq5dNPP3XJ\nfC01012l16i4UkDOmZNsfe+Nbo0z84GHiB87gS3vvM6tP/sV761c2a85RsHBwYwbN47AwEAOHTrE\n5cuX2+/UR3h5ebV4Hak1xo0bx6JFi7p8R1Gt6a4yYNB5eLB79fvdGiNp6kzG33o7Hz23nMU/eZ7d\n+/b1e0JkaWlpk7QCZ8JkMqHRaDq82ktJSaGkpIQHHnigxdQIZ0O9mqPSa2SfOtGtQLu3fwA3Ln2c\ng2s/Yfi0mdSi4eTJkz04w4GH1Wrt9NY0NzeX9957j9zczulB9geqw1LpFaTN1u0k0Vue/ill+XlU\nFhUy+a77+eqr7qnqqLROZWUlK1euxNnDKarDUukVirIyqSzqemB87PxbiRszlvTD+1j41I/ZsWPH\ngLtm4mzYbDa++eabfj08aA/VYan0OFaLhZQt33S5/6CQUGZ/72EM1XpmPvAQZZX2u4IqvY/NZutU\n0L6vUR2WSo9jrK1Byq7/K33jQ4+jc3PH2z8Ai4TVq1erAqR9SOML3s6Gekqo0uMIIfD269odu6GT\npzL0+mmOnzMzM536D2gg0t+nsG2hrrBUehxps6HtYl7PrAcfRgiBEIK6ujq2b289Q75e+UalZ6mp\n6d4Vqt5EdVgqPY6xtqZLFUW9/QMIiop2/HyloKBZdc3GdPQ6ikrncOba8OqWUKVXyD2X2uk+gZHR\nTX6+mJnJyNEjKYkpodpWTYw5hrIzZdisNnx8fCgoKOip6ao0ovHlbmdDdVgqPU5gZDTunp4Y9J37\nl9rzqkzruTfNZfn25ey8sNNhS05I5qnEpzi3/9yAqO/kbERGRvaLKlBHUbeEKj2Oqa4WQ3XnA+WT\nFt3V5OcvM75kZ+7OJrasqix+duxnbAvbRlhEWHemqdICs2fPxpmL+qoOS6VHsVmtVJeXY+rCSVN1\nRUOpM5vVSm5Z83ItepMeg9VAalkqXsPUGFZPEh4e7tSrK1AdlkoPY6jWc3r7ZuhCFZDT2zZhU7Z5\nGq2WmQlz2my/zbCNmISYNtuodJw5c+ag0Ti3S1BjWCo9is1qpa6qskt9c86coqKwgKAouxMK9my7\nfP/JkpMU+xQz56Y5RBCB9aKVvKy8Lr33tYynpydDhw5lxIgR/T2VdlEdlkqPYrNZiRiSxNldXSu/\n4uk7yPG6ylRFmFcYRXVFrbY0SwVqAAAgAElEQVTPr8nnk8xPAFg4eCGxlbFtpkKogJubGyNHjmTE\niBFER0fj5+fn1HGrxqgOS6VH8QsJQ+vetaRRLz//JhnyxwqOEuET0abDasz+gv188d0v2LJxC1eu\nXHHqBMj+ICwsjBkzZjBy5MgOVSZ1Rrqj/BwkhNiqqDVvFUIEKnYhhPiHotZ8SggxodFYS5X26YqA\nRb19ohDitNLnH/Xag629h4pzU3gxvUv9QuPiHa/rDLVsuPQVp0pOdbi/3qznRNkJsrKyVGd1FRER\nETz11FOMHTvWZZ0VdE/5+Xlgm6LWvI2Geuu3YBeeGAY8AbwFducD/AaYgl1U9TeNHNBbStv6fjcr\n9tbeQ8VJMRnqKOhi/fbQ+ETAfrXn3dPvcaG88+OsOL+C0DBVOelqioqKMJlM/T2NbtNl5WeaqjJf\nrda8Sto5iF3CKxJYCGyVUpZJKcuxS93frDzzk1IeUBRxVtGy8nPj91BxQqqKi1j9y59Snt+1wHfM\niNEA5FTlsCptVaf7TwyfiK+bL4FD1IX41dhsNvLz89tv6OR0R/k5XEpZAHanBtRn8XVW+TlaeX21\nnTbeQ8UJKS/IpyzvMmZj53OwtG5uxCWPBeC/Wd9gkp1bDQwLHIbZaialOAWrzerS257e4ppyWK0p\nP7fUtAVbV5WfOzo3VfnZCXD39oIunjYljp+Mu6c9EXTn5Z2d7h/vF8+pklNYbBbSatMGxPanp8nL\nc/2Uj+4oPxcq2zmU7/VHOZ1Vfs5VXl9tb+s9mqAqPzsHl04c61LCqJuHJxMW3QFAmaGMjIqMTvXX\nCR215gYt36/1XyN8XeOYvi9xZcXnetpNa2hN+ZkGVeaXaa7W/IwQYg32AHullLJACLEZ+EOjQPsC\n4AUpZZkQQi+EmIp9q/kQ8Ho776HihOSdb71Cg9cgP2JHX0dYwhDC4xPJST2NX3AoYQmJRA4bgRCC\nSmMlF8ovYLZ1TtHZIi1c1jdEGyw2CyJQIKsHluZmd7FYLP09hW7TkTyseuXn00KIFMX2S+xO5DMh\nxKNADnCv8uwb4FYgA6gFHgZQHNNL2CXrAf5PSll/eWwZ8G/AC9iofNHGe6g4GVJKaisrWnwWOyqZ\n23/+Kzx9GqoxxI+b2KzdhfILFNZ0TbgiR5/T5OevPL7i1hG3Is6pK616BkJ1i3YdlpRyLy3HmQBu\naqG9BJ5uZayVwMoW7EeBMS3YS1t6DxXnRLagtjJu4SLix07A08cXg8XA+fLzGCwGDl85TGppKlaz\nmfigRJZPWE5BTQHbc7YT4RPBlZrubV8MVgPrrOuYO34ugScDwXmFYPqMa2WFpaLSLkIIblj6OJ//\n/tcAePj4sHDZs0QPH4W3nz8mQx2fb3qHlytXNOt7oOgQUyOnMipoFNtztlNn6TnVlu0V27lr+F1o\n0pz7Um9fYDZ3bqvtjKgOS6VD2GxW0g/tZ9j109FotS22ib9uPPOfeIbctLNMvft+/MPC0erckFJS\nnJfNf6o2tTr+K4df4brQ67DarFQZe7ZEb7pHOsNx7rIpfYGUErPZjFsX6+07A6rDUukQh774jJKc\nbIKiY5tcobma6266meS5C5tcpi3OyWLH8a+5KFs/Vi+sLWRTVusOrTuc158ncUwiujM6RKvRjWsD\nV3dY6jpZpUMMnTyN6fd9t01nVc/VN//9wsLYIPe12ccqey8gbLaZ2VCzgdzxuQiPa9thuXrgXV1h\nqXSIjjiqlqgousLW3Z+RVte53Kre4FztOWJlbPsNATygbkQduSKXpAtJyNqBkSLh6oF3dYWl0iNc\nPHaINx65nw+fX05RVqbDfvnsaVKM5/pxZg1UmapIHZnablKpJkbDviH7+KbqG05VnkIEDJxVmeqw\nVAY0VouZtb//NaV5l1ttU1VSzJZ3XsdYU0PRpYuc278bAH1ZKSWGEvSDnGcbklaVhoxsfbUkhgq+\n8PiCK3UNaRUWP9f+I2+M6rBUBjRanRsLly1vVXrebDKy4bXfO5JGg6JiGDnzBgAyDu9nXcUWdpTv\n76vpdogK35YTXMVgwXq5Hout6R91tVd1X0yrT3BmGfqOoMawVNplUFBIq88Ofr6GwswMAsIjmfPQ\nYySMm4BW58aBtB18otnETtPRPpxpxzhed5ybvG5CGiXSZl9tWUdb2WPdg8XYfAVSIAvww6+vp9kr\n1NX1XI5bf6A6LJVuMXLmDXj7BZB80wLcPb2w2qyczU3hrYwVnCg72d/Ta5FyYzkFIwvwlJ6YhZnU\nulRKaktabV9kLBoweVzqKaHKNU1I7GBCYgcDYLAYeHHfi8wdPJfUSucItLfGvvJ9aIW2Q+kURYYi\nyseXE3jC9QsD2lq4PuVKqA5LpUcw28w8tPEh0srS2JK9pVfzqnqKzsxxv34/i/0XY6t07T94V19h\nqUF3lR7BaDFSbbYHp13BWXUWg9WAPl7f39PoNpGRkf09hW6hOiyVHsHX3ZepkVPRaQbuor1E03qc\nyxXw8/MjIiKiv6fRLVSHpdJjjAkZw9zYufi4+fT3VHqFy8bWc9FcgbCwMJcRTG0N1WGp9AhSSkK8\nQnh24rOMDbWLSXhqPR3OK8Y3pq3uLkFhXSE543PQDHLNPxtvb+/+nkK3cc3fvIrTIYQgvzqfSJ9I\n/jT7T4wPG8+ixEUYLAYWxi8kZpDrOyyAIxVHkGGuea/Q19e3/UZOTkeUn1cKIYqEEGca2cYJIQ4K\nIVIUtZrrFbuq+nyNo9PoOFt6lj/N/hPPjH+Gz2//HD93Pw4VHOrvqfUYtb617TdyQnQ6148vdmSF\n9W8alJjr+RPwv1LKccCLys+gqj5f00yLmsZ/M/9LnbmOCJ8Iqk3VlBnKuCXhlv6eWo9Sqa3s7yl0\nifLy8v6eQrfpSE333YqAahMzOO4q+NMgy+VQfQYOCiHqVZ9vQFF9BhBC1Ks+70RRfVbs9arPG5Wx\nblDG/QDYCTzX2Q+o0ncM9htM3KA4qkxVvHHiDbx0Xuy8vJMaSw2yc1KTTkuMTwzhx8NbfBYREdGq\nlJa3tzc+Pj70p27mQBCX7eoa8VlgsxDiz9hXadMVe6+pPgshWlV9FkI8gX2VRlxcXBc/kkp3qTHX\nsOnSJi7rLzMscBi/O/g7R27WQMFL49Xqs5iYmBYd1tixY9FqtZSXlxMTE0NxcTG5ubktjNC7nD9/\nnptvvtmlK4521WEtA34ipfxcCHEfdt3CefSD6jPYhVSBdwEmTZo0MP4pd0Eu6y+zJXsLZ0rOUGXq\n2brszsBjYY/BBSin5a1VdXU17u7uaLVaNBoNBoMBq9VKQEAAu3bt6uPZtjy/zMxMhg933XuRXT0l\nXArUK0D/B3tcCvpB9VnFObDYLJwvO89l/eUB6awApo6c2qbyTH5+PpGRkdhsNvz8/HBzcyMoKIiK\nipbL2fQH+fn57TdyYrrqsPKBOcrruUC68noD8JByWjgVRfUZ2AwsEEIEKsH2BcBm5ZleCDFVOR18\niKYK0vWniarqsxNTZ6njzZQ32Z+/v4kCs6sy2G9wi/Yndz9J1NioVvtVVVURGBiI0WjE09MTg8GA\nwWDAy6v1bWRf058xtJ6gI2kNnwAHgOFCiFxFhflx4DUhxEngDyjxI+yqz5nYVZ/fA34IdtVnoF71\n+QjNVZ//pfS5SFPV5/lCiHRgvvKzipNRZigjtTSVPbl7+ObSN/09nR7BYrPg69Y8Z8kqrWw2b2bO\nHPu/1VFRUc0yxzUa+59UfYC7trYWPz/nqKUVGhpKcnJyf0+jW3TklPA7rTxqpjWuqj47NzYp0fTw\n1YxyQzmPbH4EjXDdHORQr1CK6xpWHnnVeYwNHcvJ4ub1vI4XH+flO19m4sSJnDx5stkWy/4nACEh\nIUgpsdls+Pj44Obm1i9CpoMHDyY5OZmIiAiio6Nd/mqO62eSqbRLeo2BFzPyOFJZw0gfLwZ7ufPL\nxEiiPLt3zH2h/AICgYfWo0fVmvua24bcxtasreRWN5zcldSVEOUTRX5NU4cU6hVKhF8EFouFnTt3\nNhvLYDDwwAMPEBQURFhYGBaLBbPZzD333MOaNWt67TMkJSVx4cIFx8/u7u7cfffdDB8+3OWdVGNU\nh9WLSCkpNFkYpNOgE4J8g5kEb48efx+D1cb6onJKzVZMNhvxXh4M0mkpNJr5trSKjSUNiY5Hqmo4\nUlXDgYpq3k9OINnXq0v/Q9eaa4nxjeH/7ft/Lu2sAP595t+MCRnTxGHlVeexJGkJ+/P2N3FaVaYq\nzDYzbjo3hgwZwoULF9DpdPj5+eHv709wcDAjRoxwtNfpdOh0OkaMGMFjjz3G7t27mziWnqKgoICp\nU6dy4sQJjEYjoaGhTeYxUFAdVi9xqdbIirxi3s8r4buRwSR6efBebjGbJw0nxF2HlBKTlNx+PJ23\nR8V3yZFZpSS91sCTZ7M5X9M5cYE8o5mFRy+w4/rhjPDpXFD43VPvsid3Dzn6HMoMZe13cHIkksLa\nQn477besy1jHqeJTAAgEP5rwI17Y8wIAQwOGMjxoOHqTnmCvYO677z5qamrw8/PrkNOPiYnhwQcf\npKCggK1bt5KZmdlun46i1+s5fvw448eP59ChQy6da9UWqsPqBS4bTCxJySDPaI9ZfJhf6kgu+87J\ni/hoNcwP8Wdu0CCWxYa16KyklGTVmThQUc2ucj3xXh48FBVMqLuOfKOZDUUVnNTXsr20ijpb11LP\nxvt1/vZ+YU0h/0z554Ar0ldUW8Sfj/6ZP8/5M8u+XYZEsvbCWu4edjf+Hv7Mi5vHi9NebBKr0+l0\n+Pu3rCbUFpGRkXz/+9/n3LlzbN68ucfSHkwmEwaDAZ1O51Qnkz2J6rB6mEKjmfsaOStomgl7utq+\nfTpUWcOWEh/+NDyWWqsNNyGosli5VGfkQEU1aTUGvigsb9L3zZxC/HRaqi02TLL7+bHh7m6dXl2l\nV6QPOGdVT7W5mj8f/TM/nvBj3kp5C5PNxIrTK/jPbf/Bz8OvxYOFKlMVGjT4ujecKhoMBmpqaggO\nDsZms5GXl0dsbFPFaSEEI0eOZNiwYRw4cIA9e/ZgMpm6/Rk0Gg1ubm4YDAaklAMqfgWqw+pRLDbJ\n/Scvcqmu/f/xJHanNf/IeULddVzv70OKvpYSkwW9teW64RYJZeaecxZmKSk0mgn36Pj2YXPW5h57\nf2ckoyKDQwWH+NuNf+P1E69za+KteLt5t1qU8LWjr+Gh9eCXU37psFmtVv71r39x//33ExcXR3Z2\ndjOHVY9Op2PWrFlMmTKFHTt2cOjQoW4JRQQEBHDbbbcRGBhIZmYmQ4YM6fJYzojqsHqQ9/NKONfJ\nWJJJSvKMZr4o6vtsaE+N6JSzqrPUsSVrSy/OyDmotdQyI3oGs2JmtdmuzlLHoYJDvDr71SZ2Hx8f\nQkJC+PDDD/H09CQqKoqZM2e2OZa7uzsLFy5k3LhxrFy5EqPR2Ol5jxkzhgkTJjBo0CByc3MJCAjo\n9BjOjusmzzgZnxSU8tuLef09jU7R2dDXzss7qbW4Ti0o0eJV1baZGD6Rfy34V6t5ZSarfZt431f3\nkV+dz+Ihi0kObZ6MmZSUhNVqpaamhry89v+/kFJitVoJCQnh5z//OaNGjerQfIUQjB07lmXLlrFk\nyRIGDRoE2AP8wcHBHRrDlVAdVg+gt1j56bnLWF3s2rXRJjF1Yvvx38z/9uJsep5RwaN4dc6rJPgn\ndKh9ckgyKxeuxEvXelyvoKaAVamrmBg+kXDvcJaNXdZiu8LCQsfr2tpa9Ho9Fy5c4Ouvv26xvc1m\nQ6vVotVqcXNz47777uPee+9tc76jR4/m6aef5q677iI8vOWSNwMN1WH1AHvK9S5Z7anQZKbIZKHS\n3FyevSXqj/tdhbOlZ3npwEssGbaEH477IR7a1lNHFiUuIikwyZGp3piSuhIqjfZctmjfaB5Pfpzl\nE5aTVZXF2yffbtbeYrE0Kx9z4sQJrFYrR48epaqq6eVwKSVarbbZOPWrJaBJ8Nzf359ly5Zx7733\nEhIS0upnGoioDqsHqLS45qmZ3mIlxtMdf7f2Q5lmm5lyo+tVrKwyVfHq0VfZlr2NF6e9yLy4ec3a\nLJ+wnJdnvcxvpv0Graap49iTu4d7NtzDF+lfAHbn9cqRV5i8ejLf+e93uC70Oof9YsVFwB5Inz59\nepNxtm/fTk1NDZGRkRw7dsxhLy8v54MPPuDvf/87lZUNCb4Gg4GvvvoKf39/XnjhBZYuXeoocTx1\n6tRrZkV1NarD6gG0Lnp0fMVk7vDqqtzges6qMefLz/Orvb/C38Of9xe+z/BAe02oIf5DWDraXhSk\n8SrGbDPz2tHX+OG2H1Jtqmb+4PkUVBcQ4BHAn+f8mTfmvsFb895ietR0dl3ehYfWgyEB9hO56ppq\nKioqmlX4zMrKIjo62nH/8MCBA7z99ttkZWWh0+lIT0/HZrNhNpv59NNPKS4uZt68eXh4eBAfH89d\nd92FEIJx48b1xa/MKVFPCXuAKhddYRltkr9nF/Hi0NZLptTjrXN9iSiAz9M/J9w7nOeuf446Sx3T\no6Y3E3+tMdfw3O7n2JVrL7pnlVYqjBWMCh6FEILRwaPtkmY7niXeL57k0OQmca+DuQe5fPlys7yq\noUOH4ubmRnZ2NgD79u1znAYuWrQIm83GF198QVlZGXl5eURFRTF69GhH/xEjRjBixIgBUeq4q6gr\nrB5ghI9nf0+hy7x9uYjV+aXY2klE9dR5thkDciX+efKfPLL5EYxWY4tK1X849AeHswK7w0qvSHes\nwL7N/pZDBYf44bgfEjMohiDPIMc4NmnjfMF5Ll9uXhdsy5YthIeHO8YJDQ11fI+Pj+fAgQOcPn2a\nvLw8Bg8ezJ133ukoV1OfmxUREcHRo0d78LfhWqgOqwfw0zUPmLoKNuBn5y+zrrDtLZ9OoyPRP7Fv\nJtULtHTy15q469ErDQ7BXePOnJg5zI6Z7bD9YMwPmBM7xxG/aoxGaCg1lrY47pQpUwgJCWHQoEFI\nKZkwwa6CN3nyZCorK5vcLfT09GwSnNdoNJSUlLB3795WhS6uBdQtYQ9Qbel6ZrKz8OO0HCI83JgZ\nOKjVNokBiaSVpfXhrHqOWdGzGOQ+iM/TP3fYzLaW61M9cd0TpJWlkeCfwG2Jt+Hv0fH7gluzt1Js\nLCZcF47F0jQ+WH9ncNy4cdhsNoYMGYKbmxuBgYFs27YNq7UhtJCTk4NGoyEkJMSRAJqfn09UVFS/\n1NVyFtQVVg/w1mXXLzdvA36Ymo25jWzS24fc3ncT6gG0QsuSpCUAbMnegkQyKXyS4/mrR17lw9QP\nsdqaxiDvSbqH/zf1//Hdkd/tkLPak7uHy1WXsdgsTA6fzC9m/IIXXniBhx56iKlTpzranT59mvT0\ndHx9fdFqtXh5eXHdddcRGRnJqVMNKSOhoaEMHz6ctLQ0Dh8+7LBbLBZ8fHyoqqpy+drsXaVLys+K\n/UdCiPNCiLNCiD81sr+gqDifF0IsbGS/WbFlCCGeb2RPEEIcUhSePxVCuCt2D+XnDOV5fE984N4g\n39j9S6vOQJHJwr/zSlp9Pj1qOt8b+b0+nFH38HHzabIVXJe+jhFBI0gOsWempxSn8HXm12zM2tja\nEC1SZ6nDarPyVspbAJwpPcP9/72fRzc/yj9O/IO44Di0Wi2JiYnMnz+f+Ph44uPjsVgsBAY2CJgL\nIVi8eDFGo5Hx48ej0+kQQhAREUF6ejr33nsv8+Y1pGGUlpaSmppKTk4OmzZtYvfu3Y6gfW1tLfv2\n7eOjjz7i3LlzXf6dOTsd2RL+G3gDWFVvEELciF3o9DoppbFeM1AIMQp4ABgNRAHfCiGSlG5vYq/N\nngscEUJskFKmAq8Af5VSrhFCvA08il0N+lGgXEo5VAjxgNLu/u5+4N6gwDhwluh/zb7CzaH+xLZS\njfSRMY+wPmO9S+gNPjjyQd479V4T20dpH/GHmX/g9N7TAFSbqhkfNr7F/ttythHsGczY0LFNUh6y\nq7J5cd+LjAoehZSSXH0uepOetLI0fj/z9xSVFVGYV0hkZCRSSu6++242bdoEQEZGRrNkTzc3N5KT\nk5k2bRr5+fmUl5dz22234eHhgdVqZcuWLVgsFhYsWMCoUaNYuXIlOTk5FBUVsXfv3mbxrtLSUoYN\nG9ZiMqqr0+4KS0q5G7i6Stsy4GUppVFpU78nugNYI6U0SikvYReWuF75ypBSZkopTcAa4A5FKWcu\nsFbp/wF25ef6sT5QXq8FbhJOWivDSzNwdtZlZit/ybrS6qlhqHcof5z1xz6eVefx1HpyQ8wNjlI4\nWtHwx3uurGEFct/w+4j2jW7WH2Bs6Fi+zf62WW33EUEjWDZ2Gb+e+mv25+/nYMFBtELLr6f+Gk+d\nJ29/+zbr16/nypUrFBUV4e3t7YhfeXs3TQ/JzMzkq6++YtOmTRQXFzNq1CimT5+Oh4f9RHbz5s3s\n37+fU6dOodFomsjNGwwGTCZTs8z58vJyzp8/39lfmUvQ1b+0JGCWslXbJYSYrNg7q/wcDFRIKS1X\n2ZuMpTyvVNo3QwjxhBDiqBDiaH/IGC0I6XwRN2fmk4IyXr3U+knUDbE38MqsVwjzblWMu98xWA28\nmfIm9ybZ7+PdP/x+Nt2zie+N/B6LhyzmZxN/xhe3f8HS0UupMlWxOm01n5z7pMnVnBCvEG4bchvj\nwponat4YdyMaoUFKyby4eYwPG8+M6Bn46HxYmLCQH/zgBwwZMoSRI0eSmprqCJgPGzasSfmYgoIC\ncnJysFqtREZG4u7u7nBWFy9edMSw/Pz8mjmsttiwYUOT+4wDha6eEuqAQGAqMBn4TAiRSOtKzi05\nxvaUnzusCt3fys+/GRLFrjI9mXWdLwnirNQXGmyNWxNv5dbEW6k0VpJZmcmJohOsObeGwtpCbLLv\nT03vTbqXHH0OhwoOOWx78vawJGkJr815jQifCHRCx6LERezI2UFhbSF1ljo+Pf8p/730X/QmPYPc\nB3Ff0n1NVmNJgUlkV2Uz2G8wVaYqPLWeuGvt22UhBDNjZhLvH0+Ub5SjwsOUyVOazK262r59TkxM\nZNeuXRQUFHD//ffj7e3NjBkzmD59OlJKR86VwWAgOzsbT8+G/L767PaOFvkzGAysWrWKn/zkJ44r\nPQOBrn6SXGCdIut1WAhhA0JoXeGZVuwlQIAQQqesohq3rx8rVwihA/xpvjV1Cjy1Gp6IDeX5C7nt\nN3YRCjsYl/P38Gd82HjGh43nkTGPUGmsZH3Get4++Xafxrn25e3jfyb/D2armZhBMYwLG8eK0ytY\ne2Et6zPWE+4dTl5122Ve9CY9+TX5xA5q+F81oyKDpEB7GPZH237EqZJT+Lv7c2Pcjfxqyq/QaXTE\nDGo5n6ueS5cuAfZMd4PBwMGDBykpKSEuLg6wO776aEd1dTXr169n9uzZfPLJJ3h5eTFixAj0er2j\nemlHqampwWQyDSiH1dUt4XrssSeUoLo7duezAXhAOeFLAIYBh7GLpw5TTgTdsQfmNygObwewRBm3\nscJzY+XnJcB22dJVeidhfrBziGX2FPOC/bB24dft7+HP0tFLWXv7Wsd9vb4gvyafZ3c+y5TIKfxk\n4k/Yk7uHe5PuZXrUdCw2S7vOqp6DBQeb/Ny4LlaIVwgWm4VSQylrL6xl5+WdrY5js9kwGo0cO3aM\nsjL7v7MhISGMGDGCGTNmOLLcc3Jy2LBhAx9//DErVqzgtddeIzk5mY0bN1JXV8fcuXOZMmUKBw4c\nIDs7m4CAAMeWsSN0pq0r0K7rVZSfbwBChBC5wG+wC6KuVFIdTMBSxZmcFUJ8BqQCFuBpKe1RTyHE\nM9gl67XASinlWeUtngPWCCF+B5wAVij2FcCHQogM7CurB3rg8/Yaeqtr3idsiaVRwfxPQkS36oFH\n+0az6pZVPLP9GY5cOdKDs2ubt06+RYBHALWWWv52/G/8asqvOFF0osNSZCcKTzjiXgDBng1h099O\n/y2VpkqKa4tZGL+QObFzmvStqKjA29vbUffKbDY7kkEnTpyIr6+97vv8+fMBu1P7/PPPm1RpqKeg\noACAnTt3OhJQP/jgg2btWkOn0xEWFobRaGwW6HdlhBMvWrrEpEmTZH/ctXomNZu17VxvcQWm+Puw\ndtxQ3DQ9cyBbZapi0bpFVBh7twT0bYm3senSJizSgofWg2cnPsuZ4jPszd/LrQm38sm5Tzo0zujg\n0ay5rfOCpwcOHGDr1q3ExcUxadIkCgoK8PLywtfXF4vFQlxcHGFhDYcUNpuNlStXMmTIEHbt2tVk\nrJiYmGb1tDpKYGAgycnJBAQEUF1dzYQJExyOsjcQQhyTUk5qv2XPMHA2t/3IZ1fK+HwAOKvRvp6s\nSk7oMWcF4Ofux0szXuLlwy93eFvWFaJ9o/F286bKVIXRauSVw6/wzLhnOHTlEGFeHT/NPF92nhpz\nTRPRCbPNjNVmxVPX+iX3yMhIxo8fz7Fjx7BYLDz88MMt5kFJKdHr9WzatAlvb+8WM9Y76qz8/f2p\nq6tzBOLHjRvH4sWLB2T+VT2qw+omx6tq+N+MfJesONoYX62GlWMSOlTMr7NMi5rGkqQl/P3433t8\n7HrOl5+nylRFon8iBTUF1FnqeOfUO7wy6xXHqV5HsEgL+/L2sSB+AQBGq5Ff7vkl+/L3sXLhSkYF\nt1xrPT4+nujoaIqLi9Hr9RgMBnx8mirt2Gw2Dhw4wM6dOzt8H9DNzY2IiAgiIyMd6tK+vr5ERETg\n5eWFlJL6VJ6QkBDHSeNARXVY3eTLogpKO1gEz5l5KjaMwV69E6B117jjrfPm0TGPsuLMivY7dIEz\nJWf4ZNEnLPt2mSNe5aZxo9ZS6xDOiPSJpKCmgOtCriOjIqNVQY0cfY7j9QdnP2BLtl0p6N1T7/K3\nG//W6hzc3Nx4+OGHHfXZ6zGZTNTV1fHZZ5916JQvMDCQhIQEEhMTGT58eJsqzkKIJlvNgY7qsLrJ\nQMhy/25kED+L772Su2ygK/8AABXTSURBVNXmaq7UXmHV2VXtN+4iNmnjjZQ3eDz5cQ5dOYSH1oMZ\nUTOoNFYS6h3KTyf+lJvjb0an0RHiFcJ7p9/j9ROvtzjWF+lfsHTUUty0bk3q2LclTlGPEMLhrIqK\nivjmm2/IycnBzc2tVemu8PBwEhMTiY2NJT4+fkAFyXsa1WF1kxKTa6+upvj78HJSbK8qBFcaK/n8\nwudYpZWhAUMBe35TZ/HQehDuHY5UNuAVxgqQdodYbignT5/HIXGIEK8QcqpyeOngS1illT/M/AMP\nj3m4yVjz4ubxxok3HGM1pqCmgEpTJSFeISQGJLIrdxdxg+J4dMyjHZpnWVkZp06dIiUlxXElp95Z\neXp6EhcXR0BAALGxsSQmJjbbOqq0juqwuoGUkqNVNf09jS7jpRH8ISmmR4Ps9VSZqtiStYUgzyDi\n/eJ5cdqL1JprmRM7hwVrF+Dn7keVqar9gRQG+w1mVvQs/Dz8mBw+meTQZDRCg9lqRm/SI5FE+EQ4\n2mdVZrHz8k7qLHUt1qNP8E8g1CuUorrmpYHuGHoHIV72C8p3DrkTT60nj4x5pEnQvba2luPHj1Nb\nW0tERAQ2m43S0lJSUlLQ6/VNxtNqtSQkJDB27FiGDx9+TZc47i5qWkM3uGwwMflAap+8V0+jAVZf\nl8iNrSS8vp9XwsPRXZOQOlxwmF/s/gVlhoaLCQEeASxKXMTs6NlUGCs4UHCA9RnruzR+S/zlhr8w\nf/D8DrevNdcy45MZWGTDClkrtMyJmcMLU15o4vyuJj09nS+//NJx5aY1/P39GT9+PBMnTmwi2TWQ\nUNMaXIhLta57d/D3STHMCGw9P6czAqtXs+b8mibOCuzbt9Vpq1mdtrrL47bF6eLTnXJY3m7e3Jp4\nK2WGMqZETCHKN4pxYePavNBtMpnYsmVLuzXVk5OTmTp1KlFRUb261b4WUR1WNzhQ4fw1oa5GK+D/\nhka3u3p6MrbrJ0/DAoexNXtrl/u3RaBHINOjpxPgEUC1qRp/D38sNgtJQUntd76K38/8fYfb5uXl\nsW7dOkpLW67XDjB8+HBmz55NdHTL5WpUuo/qsLrB2XYqGjgjryTF8r2oFqv09BgPjXqIEK8QzpSc\nYWv2VvQmffudFEK8QhgTMoYY3xgifCII8w4j2jcaL50XAR4BhHiF9OmqxWw2s3PnTvbv39+iKrRG\no2Hs2LHMnDmT4ODe/b2qqDGsbjFh/1nyXaja6AsJkSzvxfSFliitK2XRF4swWAxYpRWt0BLpE0mC\nfwIRPhHEDorF38OfcO9whgcNJ8AjoEXprf4gKyuLDRs2OC4vN0an0zF+/HhmzJjhEIm4FlFjWC7C\nKX2tSzmrRaH+/Hhw3ycYBnsFs+O+Hbhp3LDYLLhp3NAIDUIIzFYzOo2uX+M8tbW1eHp6YrFYMJvN\n6PV6zGYzJ06c4Pjx483ae3h4MG3aNKZMmYKXV/t5WSo9i+qwusiGot69zNuT/CA6hJeGRnfaMdRY\nrHhrNd12KPUJl1evnNy0rWdw9wXp6el88skneHh4YDabkVI2kdpqTHx8PLGxscyYMaNJYT2V/9/e\nuUdXVd15/PMj74RXQh6EZxKIWqBhhBhQwdE6KjKonT4srM6qVpYuW+04zqoKi1rbqjNF1iw7rlax\ntSwV8cHosuNMZQmtUp1BULSgIEQCRTGhvAIGDIFAfvPH3ifZudzc5N5cktzc/VnrrnvuPnvv3z57\nn/O7++yzz/72LN5hxYCq8nKCvOz8d8MG82/l0TsrgKOnWzipSu5ZeL+wp2hoaGDbtm2UlZWRn982\n/nX48GHWrFlDS0sLx4+HH4tMTU1lypQpVFVVMWzYMP/Erw+QuGdiL9J4uoXaBLgd/HpRLnd1Y12r\n4Rm92wOKlePHj9PY2Eh1dTVr167l5MmTiAiXXXYZTU1NZGRksG7dug5flRkyZAgzZsygoqKi3y2A\nl+h4hxUDjd2Yo9RTjMlM5+HzRpPeD9517CoNDQ2sXLky7PIsqsrrr7/eYVoRoby8vHU2en9aVrg/\n4VslBt6s7/pj+t5g4sBMHp1QklTOqq6ujhUrVvDFF9G9KlVYWMjkyZOpqKjot7PR+xNdWSJ5GTAH\n2K+qk0L2/RBYAhSo6kGrG/gfwGygEbhRVd+3cW8AfmSTPqCqT9nwqRix1izgVeAOVVURyQNeAEqA\n3cD1qtpjA0enVXn7yDHqTjRTnp3JqMw0MgYM4I36Bpbs7lgCq7fJGjCAO8YO59yc/j8wrKq8/fbb\nbN68mQMHDrSTzwpHTk4OFRUVDBw4kEGDBlFUVERhYaEfm0ogYlJ+BhCR0Rgl50+d4KsxwhPlwDSM\ngvM063zuAyoxUl3vWeXnwzbOLcB6jMOaBawCFgB/VNWfW2n7BZj133uE5XWH2qng5KWlkJ0ygM+a\n+u7Y1ZTB2cwdnse1hckxL2jbtm2sXr2603jZ2dnMmDGDCy64IOLaUp6+T6cOS1XfFJGSMLseBu6m\nTeUGjFrz01aQYr2IDBWRYoyIxRpVrQcQkTXALBFZCwxW1bdt+NMY5edVNq9Lbb5PAWvpAYd17NRp\n5m3exfYv2j85qm8+TX1z3xWauGVUAT8dP4JT/WsecEQC+ayOyMzMZMaMGVRVVfkVEvoJMY1hici1\nQK2qbg7pTker/DzSboeGAxSp6l4AVd0rIh3OehSRWzC9tFatt1h5svYg7ybYkjFF6aksKCtGREhL\norubjgbGMzMzmTZtGtOnT/eTO/sZUTssEckGFgFXhtsdJiySwnOX1Z0j0V3l5xZVqr9o4g+HGnhw\n195ok/caozLTmJk7iKvzh5CdkjwD7B2RlZXFzJkzmTp1qp+O0E+JpYc1DigFgt7VKOB9EamiY+Xn\nz2i7vQvC19rwUWHiA+wTkWLbuyoGzlxpLU48uGsvv/r0rGXfLW4elc+NI/M50nyauz/ew9ZjTQBM\nHpTFMxVlFKQn75hMU5Opi6ysLKqqqnyPKgmI2mGp6odA6+2ZiOwGKu1TwleA20Xkecyg++fW4bwG\n/KuI5NpkVwILVbVeRI6KyHRgA/AdIFhoO1B+/jntFaHjyoGTzTy+p286q++MGMaPxo0gw05PeHxi\nCZds2M6dJUXcVVrcy6XrfVpaWrjiiiuoqqryg+lJQkzKz6rakfTJq5gpDTWYaQ3fBbCO6X6MZD3A\nz4IBeOB7tE1rWGU/YBzVShGZj3kS2SbHG0cK0tO4fngez+4984383qRiUBb3jW9zVgBjMzOYPnQg\nd47teDXMZGLOnDneUSUZXXlKOK+T/SXOtgK3dRBvGUbiPjR8IzApTPgh4PLOyhcPZuUP6XMO69ip\nFnIcqahTLcp9NbXcUzqc1LOwBnsi4p1V8uFHaoFJA7PI6mNO4Ir8wa0LxrWo8tie/fz1RDPThp49\n2XGPp6/jX80BRmSms6CsmPtqzpQN72km5GTyT2OL+GpRLr8/cITappPsPdHMstqDrL3gvN4unsfT\nq3iHZflK3mDuo3cd1sSBmfz3lHNapyhsOXqchz/ZB8CPx42gNNs/qvckN/6W0FKckRZ2UlhP8Y2i\nXFZXnttuPtW3ivMA+FpRLreOLuitonk8fQbfw7K8UX80+hmrcSBdhDvGFvEvJUVnvIQ7NjOdVVPP\noWJQFgP8C7oej3dYAT2t4DwsLZXbxhRyxbDBlHewsoKIcP7g7B4tl8fTl/EOy9JwqudebJ6ZO5DH\nJpSQn+6r3+OJBn/FWCoGZfPcWZ6LdduYQq4fnse4rAw/l8rjiQHvsCzXFgzlfw8f5fcHPo9bnrmp\nKdw4Mp+axhNMHZzNrWN6XmbL4+lPJL3DalFl09FGnq2rZ1UcndV5OZm8+DfjyU9PDasY7PF4oiep\nHVbT6RaerD3I03WH2HU8vIJKLAxJTWF5RVnrGJVfgtfjiQ9J7bDuralled2huOYpwFNfLmV0pl/h\n0uOJN0nrsGqbTvLc3tidVVF6KjePKmDK4BwmD8riqvc+pqbxBPeOG8F0/76fx3NWSFqHte7IsZjX\nP08VeOn88YzPbps/tWrqOfzX/iPMHZ4XpxJ6PJ5QktJhNbcod1Xv6TxiB9xdWtzOWQEMSk3hH0cM\n627RPB5PBJLSYaUNEE62xNa9emJiCbMLhsS5RB6Ppyt0+vKziCwTkf0issUJWyIi20XkAxF5WUSG\nOvsWikiNiFSLyFVO+CwbVmN1BoPwUhHZICI7ROQFEUm34Rn2d43dXxKvgwbO6CFFImOAUJ6dwaKy\nYuYUDvXv9Xk8vURXVmt4EiNu6rIGmKSqFcDHwEIAEZkAzAUm2jSPikiKiKQAv8IIrU4A5tm4AIuB\nh1W1HDgMzLfh84HDqjoeo4G4OKYj7ID5o/I73Hfh0ByWThjLBxdNZP30L/HhxZN4a9qX+MHYongW\nwePxREmnDktV3wTqQ8JWq+op+3M9bco31wHPq+oJVf0LZm33KvupUdVdqnoSeB64zkrbfwV40aZ/\nCiOkGuT1lN1+Ebhc4jih6VvD87imoL1CcsYA4ekvl/Ly+eV8tSiXwow0SrIyGJya0kEuHo+nJ4nH\nGNZNwAt2eyTGgQW4wqihQqrTgGHAEcf5ufFbxVdV9ZSIfG7jH4xDmclMGcCD5SP5tOkE04YMZE7B\nEPLSU6O6VfR4PD1LtxyWiCwCTgErgqAw0ZTwPbnOhFS7LLIaq/JzYUYar1We2+X4Ho+nd4l5xVER\nuQGYA3xb216WiySkGi78IDBURFJDwtvlZfcPIeTWNEBVf62qlapaWVDgV+b0ePorMTksEZkF3ANc\nq6qNzq5XgLn2CV8pUA68g9EjLLdPBNMxA/OvWEf3BvANm94VTA2EVLH7X1f/FrHHk9TEJKSKeSqY\nAayx4+DrVfVWVd0qIiuBjzC3irep6mmbz+3Aa0AKsExVt1oT9wDPi8gDwJ+BQKT1t8ByEanB9Kzm\nxuF4PR5PAiP9rdNSWVmpGzdu7O1ieDxJgYi8p6qVPWXPq+Z4PJ6EwTssj8eTMHiH5fF4EgbvsDwe\nT8LgHZbH40kY+t1TQhE5AHxyls3kE6dXhBK4DMluvy+UoS/Yz1HVHput3e8cVk8gIht78lFuXyxD\nstvvC2VIRvv+ltDj8SQM3mF5PJ6EwTus2Ph1bxeA3i9DstuH3i9D0tn3Y1gejydh8D0sj8eTOKhq\nUn2AO4AtwFbgn23YEmA78AHwMjDUhpcAx4FN9rPUyWcq8CFmGehHaOut5mHWvN9hv3NtuNh4B4Am\nYKdj/ydArWNntmNnobVRDVzlhM+yYTXAAie8FNhg7b8ApNvwDPu7Btht07p18IJjfzewKY518Ayw\n39b7Izb+VszqtB3VU41tjymOvRts/B3ADVGWo9bW/RbHxi7gKPBpSBm+bW1/AKwDJju2dltbm4CN\nTnhn7d6AWcGkxknzfaAROGnLFaS5FPjcqfMfx6HdG4BmoNpJ8zPH/vuO/bsc21uA00BeN4+/y+0Z\n8frtbQfSw85qkm2AbMzSOn/ArNl1JZBq4ywGFjsX65YO8noHuNA2yCrgahv+UHAiAQucvGYDb1n7\nf2tPrsD+T4AfhrExAdhsT7pSjJNLsZ+dQBmQbuNMsGlWAnPt9lLge87FsdTWwR7MOvmtdRBi99+D\niyROdbACmGJP9lU2/nLg0w7qKYgzHdjgXBC77Heu3c6NohxLMYIqWxwbD2HEUTaElOEiJ++rgzI4\nF2x+mLqI1O6rgEswF2ijczxHgJ/a4zkE/ELbHNb/hLHRnXa/xJbrc+fc2g8swpxbh4CHwti8BrMW\nXXePv8vtGfEa7m0n0pMf4JvAE87ve4G7Q+L8A7Ai0sUKFAPbnd/zgMftdjVQ7MSrttuPA78I7Nt4\ni4G76dhhLQQWOr9fw1yYFwKvhcazJ8VB2pxvazwn7Tcxa40dtPHb1YEN24N1YvGqA5tPPTDPiVNj\n94fW0zwn32q7vzV/N16U5diJcVhB2iDvamAyTu/DyS8XqO3CBRup3ec5dXnCOZ4jTprlQJ3dvpTw\nDivmdrfb4zC9PLHpDjj23wA+CWPzWeDmeBx/V9qzs2s42cawtgCXiMgwEcnGeP/RIXFuwvwjBJSK\nyJ9F5E8iMtOGjcQs4RzgimcUqepeAPtd6KR5N7CPWQr6asf+7VbncZmI5DppQsU7RkYI74qoxxZg\nJuZWaFSYOpgJ7FPVHWehDlKdchdh3kgYGaaeojnmaMoRaLsFeQX7PwPSnDK4zKf9+aDAahF5z2oJ\nBERqd7fczU65M4I0GLk8V8bpQhHZLCKrRGRiB3lF0+5gbu1O2/gjgWzH/i4b3oq9RmYBL8Xx+Dtr\nz4gklfKzqm4TkcWYe+xjmC510MjhRDX2AmNU9ZCITAV+Z0+eLgtkOAjmAg3slwJ/tPYeA+63edyP\nuSW7KYKdmEU9nDp4FDO20a4OMP98zzm/410HnaXpKE604d0tByJyGcZhzXCCL1bVOhEpxKy4u12N\nFF60tiJJ1r0PjFXVYyIyG/gdZuggljqIxX7ANcD/qaqrpXA2j7+zdku6Hhaq+ltVnaKql2BuUXZA\neFENNfqKh+z2e5hbinMw/wajnGxd8Yx9IlJs8yzGjBNg04wO7NvwWmCHqu5T1dOq2gL8BqPj2Jom\njJ1uiXpg9B6PAheH1EEq8DXaZNviXQfNThn2AWOBunD1FMUxR1OO4L27IK9g/yiM0w7KgIhUAE8A\n1wXHb+ugzn7vxzygCdoqYrs75Utzyn0iSIOp0yM27wZVPWa3XwXSRCQ/Qh10td2D8c96G97o2C/D\njGO5zKX9n1c8jr+z9oxMZ/eM/e0DFNrvMZgng7mYbu9HQEFI3AIgxW6XYRxM8LTkXcwgYjDQO9uG\nL6H94ONDdvvvbbxCm26TY7/YsXknRowWjIK2O+i+C3PCpdrtUtoGXyfaNP9J+8HX79vt27BP+DCS\naCvdOrDhs4A/nY06wIzf7KZtAPYZYE+EegoGad+x4XnAX2x95drtaMuxFHNLHNhYghl0fyekDGMw\n42sXhdRFDjDI2V4HzOpiuwtmfLSjQfd64BG7bzhtTzqrME8xJQ7t/gPaBt0ncuag+xLnWAOVqpw4\nHn+X2jPi9dvbDqQXHNZbGOe0GbjchtVg7qfbPboHvo55/L4Z002/xsmn0p78O4FfOifYMMyt3g77\nHVxUYi+O45hpDR879pdjHhV/gFELch3YImujGvv0y4bPtnnsBBY54WWYC7DGnsQZNjzT/q7B9K52\nuHVg4zwJ3BpSX/Gog5cwt5bNmFvx/bYN3olQTzttnVQ69m6y5a8BvhtlOf5qP82Yf/fX7UVyDOMQ\n3DI8ARx2zoeNTt1utp+tIfXeWbsftbZPWfvzMQ4kmFbwkZPmdqfO1+M4zm60+1Frp9mx/4BjfxOO\nwwBuxP5xhtiI9fi73J6RPn6mu8fjSRiSbgzL4/EkLt5heTyehME7LI/HkzB4h+XxeBIG77A8Hk/C\n4B2Wx+NJGLzD8ng8CYN3WB6PJ2H4f4MsEjLsH/UkAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1232a0690>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"###### ADDED IN #######\n",
"boros.plot(column='BoroName')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"BoroCode\n",
"5 POLYGON ((915517.6877458114 120121.8812543372,...\n",
"4 POLYGON ((1000721.531799316 136681.776184082, ...\n",
"3 POLYGON ((988872.8212280273 146772.0317993164,...\n",
"1 POLYGON ((977855.4451904297 188082.3223876953,...\n",
"2 POLYGON ((1017949.977600098 225426.8845825195,...\n",
"dtype: object"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"boros['geometry'].convex_hull"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x122f3dd10>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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VREkCPvupghUClUdPsnhj8tlbtVfDAshMS+H2icP4/p9WxyAiJRiD87sxdXQR\n00YVUtonMR7BaQ0VrBB4bvlumtpZPjgRCUWwAL50XjGPv1fB5v265nus6JeXxdRRRUwbXcjwQn+7\nOYeDClY7NDQ1+95gIlKOhShYKV2EOyYPY/ZTKzo5ouSmT3YGU0cVMXVUIZ/rn5s0IuVGBasd3li/\nn6rjdV6H4Qmh1rAArjy7gAtK8vhwx+FOjCj5yO+ezpSRhUwbXUTZwDy6JPkTBipY7TBv6Q6vQ/CM\nUGtYEHgw+my+8uiSTowoOcjJSmPKyL5MHVXEuME9SU3RCboBVLDaYOv+4yyt8HRyvaeEU8MCGDOw\nJ1cP79Pmc4hKcLpnpDJxRB+mjSrikiH5CbMcTLRRwWqDZJso2pJwBQvgjknDeHPjfpJwjCJsstJS\nmHBOAdNGF3H50N4J9QhNZ6GC1Qq1dY0s+Cg5nhtsjUgEq7RPD64b0z+hFzjsCOmpXRg/rDdTRxUx\n4ZwCuqbrTzAc9G61wsur9lJT1/7EyUQmEsEC+PG04TQZw4sr90Q5Ioeu6SmcqP/sAoPxSmoX4dLS\nfKaNLuLq4X3okamPM0WKClYQjDFJObO9JXWNzZxqaAq7qdI9I5UHrhvNF84t5K6X1vLJsdBnwed2\nTaNvdiaFOZn0zcmkb3YWhTmZ9Mk5ndYjI5WRP1lEbRyLVheBi8/KZ+qoQiaN6Etet3SvQ0oIVLCC\nsHLnYTZ9opMgAY6daoi4b2X82QUs+t5lLFxbSZMxGGMXNDMG4/whJyuNPi6BCrWsnt3Tqa2OP0/I\nsSU9mTa6kMkjC+ndI8PrcBIOFawgJPoSyOFw7GQDBT0yIz4+JyuNGWMHRDEih17dMtgdJ4L1uf65\nTB1VyBdGFVKYk+V1OAmNClYLDtbU8fra4GaiycaYgXlkZ8Vnf0t+d2+bWMMLs5k22pl13r9nV09j\nSSZUsFrwwoe7aWhK7jH50oLu3DH5bK46pyBuH//o1S32za0hBd2ZNqqIqaMLOat395iXr6hgnUFT\ns+HZZcn53CBAYU4m37tqKF8+vzjuZ1f3ilENa2Cvrp+K1LA+PeJWwJMFFSwXb286wN4j8dEvEkuy\nM1O5ZfwQZl1c4pvJiz07cdStODeLL4wqZNqoIkYWJ89KCH6gXcESkbnAVOCAMWZki33fB+4Hehtj\nDlrnnN8A1wAngBuNMR/ZvLOA/2MP/YUx5imbPgbHrDULZ0XS7xpjjIj0BF4ASoAdwPXGmE59sjbZ\nOtszUrtw4yUl/NvlQ8jx2VLH+d2j2yTs3SODL5xbyLTRhZzXXx8yjldCqWH9AXgIeNqdKCL9gasB\ndxtqCo7xRClwIfAocKEVn5+ROh2PAAAOT0lEQVQAZTgj2ytF5BUrQI8CNwFLcQRrMrAQZw33N40x\n91hr+zk46793CjsP1fLuls71NIwXughcN6Y/t11d6ttRrWg0CXt2S2fyyL5MG1XE2EE91WvRB4Sy\npvt7IlISZNevgTs47XIDjlvz09bdZqmI5IpIIXAFsNgYUw0gIouBySLyDpBtjFli05/GcX5eaM91\nhT3vU8A7dKJgPZMkfVdXD+/DHZOG+X5lykg73XtkpjJ5RF+mji7i4rN6kRbnfXXKmUTUhyUiXwT2\nGmNWt2jfh+v8XGy3W6YD9DHGVAIYYypFpKCNeG7CqaUxYED4c35ONTQxP8GffSsbmMecKWdTVtLT\n61CiQjjTGrqlp3D18D5MHVXEpUPzyUj1Rz+d8lnCFiwR6Qr8CJgYbHeQtEidn0PGGPMY8BhAWVlZ\n2Me/tqaSI+1YWvmV0oLu3Dn5bCbE8RSFSGjvUZeM1C7OSgijihh/doFvBhOUtomkhnUWMAgI1K76\nAR+JyFjadn6+okX6Oza9X5D8APtFpNDWrgqBAxHEGhKJ2NlemJPJ7VcP5cvn90vIvpm0lC7kZKWd\n8YB2Wopw+dACpo0uZMI5feieoYPgiUbYn6gxZi3wafNMRHYAZXaU8BXgVhF5HqfT/agVnEXAf4lI\nnj1sInCXMaZaRI6LyDhgGXAD8FubJ+D8fA9nOkJHlXV7j7J695HOOLUn5GSlccv4s7jhIv9MUYiU\nXt3Tqalr5JIh+UwbVcjEEX3JidOZ+Up0CGVaw3M4taN8EdkD/MQY82Qr2V/HmdJQjjOt4ZsAVpju\nxrGsB/h5oAMeuJnT0xoW2hc4QjXfOk3vopNMVT/ckRgrimakduGblwzi5svP8t0UhUj58dThjCrO\noVeUpzgo8UtHnJ8D+0tc2wa4pZV8c3Es7lumrwBGBkk/BExoL76OsmV/TWcX0al0Ebi+rD/fvcq/\nUxQiZfywVsdhlAQl6Rv55Qf8u4zMpBF9+MGkYQwp8PcUBUUJlaQWLGOML2tYF5TkMWfKOYwZmNd+\nZkVJIJJasKpq6iJeBtgLhvZxpihceXZiTVFQlFBJasEq90ntqignk9snDuNL5xUn5BQFRQmVpBas\nLfvju/9qYK+u3HhxCTPHDkj4KQqKEgpJLVhbD8RnDevS0nxuvLiE8cMKdNUARXGR3IIVR03CrLQU\nvnx+MTdeXOL7B5MVpbNIWsEyxrAlDqY0FOdmMevigXy1bEDSTPhUlEhJWsE6WFPv6QPP4wb35MaL\nB3H18D7aka4oIZK0grXVg9pVemoXvvS5YmZdXMLwouyYl68ofid5BSuG/Vd9szP5xkUDmTl2QKeu\nRa4oiU7yClYMalhjBubxzUtKmDSir65sqShRIHkFq5NqWGkpwrRRRdx4SQmj+uV2ShmKkqwkr2BF\neQ5Wv7wsri/rz4yx/Ttk7a4oSuskpWDV1DVSXVvf4fOkp3Zhysi+XF/Wn4sG99JJnorSySSlYGWk\ndqw/aURRNl+9oD/TRxfr3ClFiSHt/nJFZK6IHBCRda60+0Vkk4isEZE/i0iua99dIlIuIptFZJIr\nfbJNK7c+g4H0QSKyTES2isgLIpJu0zPs+3K7vyRaF52W0oXSgu5hHdOrWzqzLhrIa9/5PH/935dy\nw0UlKlaKEmNCqWr8Acfc1M1iYKQxZhSwBbgLQESGAzOAEfaYR0QkRURSgIdxjFaHAzNtXoB7gV8b\nY0qBw8Bsmz4bOGyMGYLjgXhvRFfYCjPHtm8H1qtbOl+7cADP/suFLPvhBH42fSQji3OiGYaiKGEQ\nkZGqMeYN19ulwLV2ezrwvDGmDtguIuXAWLuv3BhTAWBNKqaLyEbgSuCfbZ6ngJ/iuEFPt9sALwIP\niYjYZZg7zD9fOIC/rN73GQOKXtYN+AvnFjJ2UE9SdTqCosQN0ejD+hbwgt0uxhGwAG5j1JZGqhcC\nvYAjxpjGIPk/NV81xjSKyFGb/2AUYiYzLYXHbxjDvzy1AmOcFRIuLe3NBSV5KlKKEqd0SLBE5EdA\nI/BMIClINkPwpmd7Rqohm6xG6vxc0COTV279fMj5FUXxloirEiIyC5gKfM3VTGvLSDVY+kEgV0RS\nW6SfcS67PwcI6slljHnMGFNmjCnr3bt3pJekKEqcE5Fgichk4E7gi8aYE65drwAz7AjfIKAUWI7j\nR1hqRwTTcTrmX7FC9zan+8DchqkBI1Xs/rei1X+lKIo/ichIFWdUMANYbM0Qlhpjvm2MWS8i84EN\nOE3FW4wxTfY8twKLgBRgrjFmvS3iTuB5EfkF8DEQMGl9EphnO+6rcUROUZQkRhKt0lJWVmZWrFjh\ndRiKkhSIyEpjTFmsytPhMEVRfIMKlqIovkEFS1EU36CCpSiKb1DBUhTFNyTcKKGIVAE7O7mYfKL0\niJCPY0j28uMhhngov5sxJmaztRNOsGKBiKyI5VBuPMaQ7OXHQwzJWL42CRVF8Q0qWIqi+AYVrMh4\nzOsA8D6GZC8fvI8h6crXPixFUXyD1rAURfEPxpikegHfBdYB64HbbNr9wCZgDfBnINemlwAngVX2\n9TvXecYAa4Fy4EFO11Z74qx5v9X+zbPpYvNVAaeAba7yfwrsdZVzjaucu2wZm4FJrvTJNq0cmONK\nHwQss+W/AKTb9Az7vhzYYY9134MXXOXvAFZF8R78EThg7/uDNv96nNVpW7tP5fbzON9V3iybfysw\nK8w49tp7v85VRgVwHNjVIoav2bLXAP8ARrvK2mHLWgWscKW397kfw1nBpNx1zL8BJ4B6G1fgmCuA\no657/h9R+NyPAQ3AZtcxP3eV/5Gr/B+4yl4HNAE9O3j9IX+ebf5+vRaQGIvVSPsBdMVZWud/cNbs\nmgik2jz3Ave6fqzrWjnXcuAi+4EsBKbY9PsCXyRgjutc1wB/t+Vfbr9cgfJ/Cnw/SBnDgdX2SzcI\nR+RS7GsbMBhIt3mG22PmAzPs9u+Am10/jt/Ze7AbZ538T+9Bi3J/GfiRROkePAOcb7/sC23+ecCu\nVu5TIM84YJnrB1Fh/+bZ7bww4vgdjqHKOlcZ9+GYoyxrEcPFrnNPCcTg+sHmB7kXbX3uC4HLcH6g\nJ1zXcwT4mb2eQ8B/m9OC9VqQMjryuV9m4zrq+m4dAH6E8906BNwXpMxpOGvRdfT6Q/482/wNey0i\nsXwB1wFPuN7/GLijRZ4vAc+09WMFCoFNrvczgd/b7c1AoSvfZrv9e+C/A+XbfPcCd9C6YN0F3OV6\nvwjnh3kRsKhlPvulOMhp8f00n+vY63DWGjto859xD2zabqyIRese2PNUAzNdecrt/pb3aabrvJvt\n/k/P784XZhzbcAQrcGzg3JuB0bhqH67z5QF7Q/jBtvW5z3TdyzrX9RxxHTMP2Ge3ryC4YEX8udvt\ns3BqeWKPq3KV/zawM0iZzwL/Go3rD+XzbO83nGx9WOuAy0Skl4h0xVH//i3yfAvnP0KAQSLysYi8\nKyKX2rRinCWcA7jNM/oYYyoB7N8C1zEfBsrHWQp6iqv8W63P41wRyXMd09K8o7iN9FBMPdYBl+I0\nhfoFuQeXAvuNMVs74R6kuuLug/NEQnGQ+xTONYcTR36LMgL79wBprhjczObM74MB3hCRldZLIEBb\nn7s77gZX3BmBY3Ds8nJd+S4SkdUislBERrRyrnA+d3Cadk02fzHQ1VV+hU3/FPsbmQwsiOL1t/d5\ntklSOT8bYzaKyL04bewanCp14EMOZqpRCQwwxhwSkTHAy/bLE7JBhgvB+YEGyh8EvGnLexS4257j\nbpwm2bfaKCdiUw/XPXgEp2/jjHuA85/vOdf7aN+D9o5pLU+46R2NAxEZjyNYbqeSS4wx+0SkAGfF\n3U3GmPciKCtYeoCPgIHGmBoRuQZ4GafrIJJ7EEn5AaYBHxhj3F4KnXn97X1uSVfDwhjzpDHmfGPM\nZThNlK0Q3FTDGFNnjDlkt1fiNCmG4vw36Oc6rds8Y7+IFNpzFuL0E2CP6R8o36bvBbYaY/YbY5qM\nMc3A45z2cuwUUw8c/8fjwCUt7kEq8GVO27ZF+x40uGLYDwwE9gW7T2FcczhxBJ67C5wrsL8fjmgH\nYkBERgFPANMD12/vwT779wDOAE3gs2rzc3fFl+aKuy5wDM49PWLPfcwYU2O3XwfSRCS/jXsQ6uce\n6P+stuknXOUPxunHcjODM/95ReP62/s826a9NmOivYAC+3cAzshgHk61dwPQu0Xe3kCK3R6MIzCB\n0ZIPcToRAx2919j0+zmz8/E+u/0Fm6/AHrfKVX6hq8zv4ZjRguOg7e50r8D5wqXa7UGc7nwdYY/5\nE2d2vv6b3b4FO8KHY4k2330PbPpk4N3OuAc4/Tc7ON0B+0dgdxv3KdBJu9ym9wS22/uVZ7fDjeN3\nOE3iQBn343S6L28RwwCc/rWLW9yLbkAP1/Y/gMkhfu6C0z/aWqd7NfCg3deX0yOdY3FGMSUKn/t3\nON3pPoLPdrrf77rWgEtVtyhef0ifZ5u/X68FxAPB+juOOK0GJti0cpz29BlD98BXcIbfV+NU06e5\nzlNmv/zbgIdcX7BeOE29rfZv4Ecl9sdxEmdawxZX+fNwhorX4LgFuQXsR7aMzdjRL5t+jT3HNuBH\nrvTBOD/AcvslzrDpmfZ9OU7taqv7Htg8fwC+3eJ+ReMeLMBpWjbgNMUP2M9geRv3aZu9J2Wu8r5l\n4y8HvhlmHJ/YVwPOf/e37I+kBkcQ3DE8ARx2fR9WuO7tavta3+K+t/e5H7dlN9ryZ+MISGBawQbX\nMbe67vlSXMLZgc/9uC2nwVX+L1zlr8IlGMCN2H+cLcqI9PpD/jzbeulMd0VRfEPS9WEpiuJfVLAU\nRfENKliKovgGFSxFUXyDCpaiKL5BBUtRFN+ggqUoim9QwVIUxTf8f8tSyJwdoV9FAAAAAElFTkSu\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x123153ad0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"###### ADDED IN ######\n",
"boros['geometry'].convex_hull.plot()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from shapely.geometry import Point\n",
"xmin, xmax, ymin, ymax = 900000, 1080000, 120000, 280000\n",
"xc = (xmax - xmin) * np.random.random(2000) + xmin\n",
"yc = (ymax - ymin) * np.random.random(2000) + ymin\n",
"pts = gpd.GeoSeries([Point(x, y) for x, y in zip(xc, yc)])"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"circles = pts.buffer(2000)\n",
"mp = circles.unary_union"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x1235d0450>"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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VafJcv+4yQszMaDIlk87FxDzkzQ1hbk5SzXYgS6XgL/7CSc2BgO7X0aH+PXkS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\nViJt3KCXQa6V3McDBhhhoCjLKyhnfyeT1LLKGe4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ddwKbFvqmXUY1Z9fXy/OMjeleV1di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\nZI7jZB5XZI7jZB5XZI7jZJ7/A7DLSHSe2FVAAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1235cac90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"####### ADDED IN #######\n",
"ax = boros.plot(color='red')\n",
"circles.plot(ax=ax, color='blue', alpha=0.25)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"holes = boros['geometry'].intersection(mp)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x1260f4450>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x123049e50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"holes.plot()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"boros_with_holes = boros['geometry'].difference(mp)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x126114650>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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N8OOSae69Y9uXXcJruzk000FfVfXZhbFaJZpBrldc3WRk+X+3tX9Q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\ntBrMYBmG0Wowg2UYRqvh/wGs7R5Y+qa32gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x126136110>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"####### ADDED IN #######\n",
"boros_with_holes.plot()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.14"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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