From c0ed45b4c1cc4f475f83786e641b859dad94f863 Mon Sep 17 00:00:00 2001
From: Alexander Soare <alexander.soare159@gmail.com>
Date: Mon, 27 Jul 2020 09:58:57 +0200
Subject: [PATCH] fix: forgot to generate output for some cells in last update

---
 QAlpha/notebook.ipynb | 306 +++++++++++++++++++++++++++++++-----------
 1 file changed, 226 insertions(+), 80 deletions(-)

diff --git a/QAlpha/notebook.ipynb b/QAlpha/notebook.ipynb
index c8aec48..6ba27a6 100644
--- a/QAlpha/notebook.ipynb
+++ b/QAlpha/notebook.ipynb
@@ -11,7 +11,7 @@
     "kernelspec": {
       "display_name": "Python 3.7.7 64-bit ('venv': venv)",
       "language": "python",
-      "name": "python_defaultSpec_1595771875214"
+      "name": "python_defaultSpec_1595836283227"
     },
     "language_info": {
       "codemirror_mode": {
@@ -96,7 +96,7 @@
         "from utils.plot_map import plot_map\n",
         "import matplotlib.pyplot as plt"
       ],
-      "execution_count": 4,
+      "execution_count": 1,
       "outputs": []
     },
     {
@@ -140,7 +140,7 @@
         {
           "output_type": "stream",
           "name": "stdout",
-          "text": "Sampling 10 low energy solutions. Considering safe capacity of 300000 sick people at one time, in a situation where there are currently 840793 sick people \n\nBEST SOLUTION\nOpen cities\n['Boston', 'Charlotte', 'Chicago', 'Cincinnati', 'Cleveland', 'Columbus', 'Denver', 'Hartford', 'Indianapolis', 'Jacksonville', 'Kansas City', 'Las Vegas', 'Los Angeles', 'Louisville', 'Memphis', 'New York', 'Oklahoma City', 'Philadelphia', 'Pittsburgh', 'Portland', 'Providence', 'Raleigh', 'Richmond', 'Sacramento', 'Salt Lake City', 'San Jose', 'Seattle', 'St Louis', 'Virginia Beach', 'Washington DC']\n\n\nClosed cities\n['Atlanta', 'Austin', 'Baltimore', 'Dallas', 'Detroit', 'Honolulu', 'Houston', 'Miami', 'Milwaukee', 'Minneapolis', 'Nashville', 'New Orleans', 'Orlando', 'Phoenix', 'Riverside', 'San Antonio', 'San Diego', 'San Francisco', 'Stamford', 'Tampa']\n\n\nSalvaged GDP: 8362787 (63.7%)\nUsed up hospital capacity: 297569 of 300000 (99.2%)\nCPU times: user 2.56 s, sys: 480 ms, total: 3.04 s\nWall time: 59.7 s\n"
+          "text": "Sampling 10 low energy solutions. Considering safe capacity of 300000 sick people at one time, in a situation where there are currently 840793 sick people \n\nBEST SOLUTION\nOpen cities\n['Baltimore', 'Boston', 'Cincinnati', 'Cleveland', 'Columbus', 'Denver', 'Detroit', 'Hartford', 'Indianapolis', 'Kansas City', 'Los Angeles', 'Louisville', 'Memphis', 'Milwaukee', 'Nashville', 'New Orleans', 'New York', 'Oklahoma City', 'Philadelphia', 'Pittsburgh', 'Portland', 'Providence', 'Raleigh', 'Richmond', 'Sacramento', 'Salt Lake City', 'San Francisco', 'San Jose', 'Seattle', 'St Louis', 'Virginia Beach', 'Washington DC']\n\n\nClosed cities\n['Atlanta', 'Austin', 'Charlotte', 'Chicago', 'Dallas', 'Honolulu', 'Houston', 'Jacksonville', 'Las Vegas', 'Miami', 'Minneapolis', 'Orlando', 'Phoenix', 'Riverside', 'San Antonio', 'San Diego', 'Stamford', 'Tampa']\n\n\nSalvaged GDP: 8635729 (65.8%)\nUsed up hospital capacity: 299031 of 300000 (99.7%)\nCPU times: user 2.61 s, sys: 485 ms, total: 3.1 s\nWall time: 1min\n"
         }
       ]
     },
@@ -186,145 +186,145 @@
         "        \"\\n\")\n",
         "  plot_map(solution[sol_n]['open_cities'], solution[sol_n]['closed_cities'])"
       ],
-      "execution_count": 4,
+      "execution_count": 3,
       "outputs": [
         {
           "output_type": "stream",
           "name": "stdout",
-          "text": "\nSolution: 0 \nNumber of closed cities: 20 \nNumber of open cities: 30 \nSolution energy: -8362812.0 \nAnticipated GDP: 8362787 (63.7%)\nHospitalizations: 297569 (99.2% of capacity) \n\n"
+          "text": "\nSolution: 0 \nNumber of closed cities: 18 \nNumber of open cities: 32 \nSolution energy: -8635733.0 \nAnticipated GDP: 8635729 (65.8%)\nHospitalizations: 299031 (99.7% of capacity) \n\n"
         },
         {
           "output_type": "display_data",
           "data": {
             "text/plain": "<Figure size 432x288 with 1 Axes>",
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           },
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         {
           "output_type": "stream",
           "name": "stdout",
-          "text": "\nSolution: 1 \nNumber of closed cities: 18 \nNumber of open cities: 32 \nSolution energy: -8195209.0 \nAnticipated GDP: 8195212 (62.4%)\nHospitalizations: 299859 (100.0% of capacity) \n\n"
+          "text": "\nSolution: 1 \nNumber of closed cities: 16 \nNumber of open cities: 34 \nSolution energy: -8495596.0 \nAnticipated GDP: 8495606 (64.7%)\nHospitalizations: 299359 (99.8% of capacity) \n\n"
         },
         {
           "output_type": "display_data",
           "data": {
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           },
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         {
           "output_type": "stream",
           "name": "stdout",
-          "text": "\nSolution: 2 \nNumber of closed cities: 27 \nNumber of open cities: 23 \nSolution energy: -8164367.0 \nAnticipated GDP: 8164340 (62.2%)\nHospitalizations: 296702 (98.9% of capacity) \n\n"
+          "text": "\nSolution: 2 \nNumber of closed cities: 19 \nNumber of open cities: 31 \nSolution energy: -8326621.0 \nAnticipated GDP: 8326628 (63.4%)\nHospitalizations: 297178 (99.1% of capacity) \n\n"
         },
         {
           "output_type": "display_data",
           "data": {
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           },
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         },
         {
           "output_type": "stream",
           "name": "stdout",
-          "text": "\nSolution: 3 \nNumber of closed cities: 21 \nNumber of open cities: 29 \nSolution energy: -8099041.0 \nAnticipated GDP: 8099050 (61.7%)\nHospitalizations: 298153 (99.4% of capacity) \n\n"
+          "text": "\nSolution: 3 \nNumber of closed cities: 21 \nNumber of open cities: 29 \nSolution energy: -8284348.0 \nAnticipated GDP: 8284341 (63.1%)\nHospitalizations: 298271 (99.4% of capacity) \n\n"
         },
         {
           "output_type": "display_data",
           "data": {
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           },
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         {
           "output_type": "stream",
           "name": "stdout",
-          "text": "\nSolution: 4 \nNumber of closed cities: 20 \nNumber of open cities: 30 \nSolution energy: -8095221.0 \nAnticipated GDP: 8095231 (61.6%)\nHospitalizations: 297390 (99.1% of capacity) \n\n"
+          "text": "\nSolution: 4 \nNumber of closed cities: 21 \nNumber of open cities: 29 \nSolution energy: -8266399.0 \nAnticipated GDP: 8266369 (62.9%)\nHospitalizations: 296949 (99.0% of capacity) \n\n"
         },
         {
           "output_type": "display_data",
           "data": {
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           },
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         {
           "output_type": "stream",
           "name": "stdout",
-          "text": "\nSolution: 5 \nNumber of closed cities: 27 \nNumber of open cities: 23 \nSolution energy: -8018929.0 \nAnticipated GDP: 8018929 (61.1%)\nHospitalizations: 298455 (99.5% of capacity) \n\n"
+          "text": "\nSolution: 5 \nNumber of closed cities: 25 \nNumber of open cities: 25 \nSolution energy: -8228179.0 \nAnticipated GDP: 8228188 (62.7%)\nHospitalizations: 299974 (100.0% of capacity) \n\n"
         },
         {
           "output_type": "display_data",
           "data": {
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h9PVFDMCIfwwMKrcTouoqKiqYuLg4xsXFhbG1tWUSExPZDknp/Pjjj0z37t2ZnJycevfbsmULExQU1OzjALjJSMipnD4DBoARI0bg0qVLEh8LDAR27NBAly6Vww5dugDbt1MVBFEPPB4PXl5euH79OhYvXlxnaR1Sv4sXL2LVqlU4efIk3nvvvXr3NTAwkEsVCucTsKWlJYRCodTHAwOBzMzKMd/MTEq+RP3weDwEBQUhIyMDX331FUpLS8VnWEQyhmEwe/ZsxMTEoFevXqzFwfkE/P777+PJkyf0YSKkHtra2rh06RLCwsLg5eUFKysrxMTEsB0WZ92+fRtFRUUYPXo0q3FwPgG3bt0aAJCXl8dyJIRwm42NDQ4fPowPPvgAgwcPxm+//cZ2SJx1+PBhjB8/nvXJLZzvB8zj8fD+++/TVGNCGmH8+PEYP348Xr58iWHDhsHLywtmZmZYs2YNTE1N2Q6PM44cOYJt27Y16TlqOQYM/DMMQQhpnPbt2+PSpUv46KOPUF5ejkC6OSL2119/IScnBwMHDmQ7FErAhKiq9957D0FBQSgtLUWbNm1QVlbGdkicEBERgRkzZnBiAgv7ETSCubk5JWBCmik8PBylpaWwtrbGgQMH1HrSxpEjR3Dr1i2sWrWqSc9r164d/vjjD7x+/Vqm8ShFAu7YsSP+/vtvtsMgRCn17t0bp0+fxs6dO7Fp0yb069cP8fHxbIelUAzDIDExEQsWLMDOnTubtHAmAHh5eWHMmDHw9PSUaUGAUiTgV69eoX379myHQYhSGzZsGK5du4awsDDMnj0bn332Gdshyd2FCxcQGRkJZ2dnhISE4Ouvv8bgwYOb/Do8Hg/r169H//79MXr0aJk16FGKBPzkyZMmrTRKSEsIBAJER0cjMjIS0dHREAgEbIckMzweD/7+/oiJicHp06fZDkeuMjMz4efnh7KyMnzxxRe4c+cOpkyZ0uzX4/F42Lx5M6ytreHj4yOToRzOl6EBlasKjB07lu0wiBoQCASIi4tDeXk5gMr687i4OAD/NIdSBU5OTkhLS8O7d+8kLnjApuvXryM6OhovXrwAwzCoqKio8WfV3xuSk5ODgIAAREVFySw2DQ0NbN++HS4uLjhz5kyLJ3Jw6zcvBZ0BE0VJSEgQJ98q5eXlSEhIUKkE3Lp1a5iZmeHevXstarMoS5mZmZg9ezbu3LmDZcuWwcbGBhoaGuDxeOI/a/+9IX369JF5nJqampgyZQq+/fZb9UjAQqEQ70vrPUmIDEm7waKKMzH79u2L5ORkTiTgxMREBAQEYMmSJfjll1+go6PDdkgSPXv2DJGRkThy5IhMxtA5Pwb89u1blJaWNtitiBBZMDY2btJ2Zebs7Izk5GS2w8C2bdvg7++PvXv34pNPPuFk8i0oKMCaNWtgZ2cHIyMj3Lt3D7Nnz27x63I+AQuFQpibm7M+Z5uoBz6fD21t7RrbtLW1wefzWYpIfvr06YOkpCTWjl9eXo65c+fi22+/xZUrV+Dh4cFaLNK8fv0aGzduRM+ePfHo0SMkJydj/fr1Mjsh5PwQBI3/EkWqGudNSEhAXl4ejI2NwefzVWr8t0qfPn3w559/oqKiQuGzwl6+fAl/f3+0atUKf/zxh7jpFhcwDIOrV69i27ZtOHnyJLy8vPDrr7/CyclJ5sfifAKm8V+iaPb29iqZcGszMTGBsbExMjIy0L17d4Ud98GDB+Dz+Zg8eTI+//xzaGpqKuzYsbGVi/ZmZVUuXRYV9U8P8efPn+Pnn3/G9u3bUV5ejpCQEERHR8PExERu8XA+AT958oQSMCFy0qdPH6SkpCgsAb979w4ff/wxFi9ejNDQUIUcs0psLDBrVuXK6QDw+DEwc2YF4uMTkJm5DqmpqfDy8sKWLVswdOhQhQx7cj4BZ2Zmon///myHQYhKqkrA/v7+LXqdx48fixdOqP5T2+nTp2FoaIiFCxe26HjNER7+T/KtUlysgZ9/dsL+/aHw9PRs8hTlluJ0AhaJRPj111+xcuVKtkMhRCV169YNJ06caPbzExIS8M033+D69evo2bOnuD63+k91+vr6iImJYaUTWVaW5O3Fxe3h4+Oj2GD+h9MJ+OLFizAzM0OPHj3YDoUQuapvbFKejh07hlGjRjX7+XPmzMGwYcNw+PBh6OvryzAy2bOwqBx2kLSdLZwuQ/vpp58wceJEtsMgRK6qxiYfPwYYpvLPWbMqt8vTkydPkJiY2KJm7Vu2bEFiYiLnky9Q+aWmo1NzlqOBQeV2tnA2AZeVleHo0aP46KOP2A6FELmSNDZZVFS5XZ527NiBwMBAtGrVqtmvMWLECLx69QrZ2dkyjEw+XFzuQVt7HkxNy8HjAV26ANu3s7uSOmeHIM6dOwcbGxtYsHl9QIgCSBublLZdFjIzM7Ft2zZcvny5Ra+Tm5uLzp0746+//oKZmZmMopOPefPmISrKG4sWaTe8s4Jw9gz47Nmz+PDDD9kOgxC5k3aOIetzj9hYwNIS0NBgYG2thxEjYtCrV69mvdajR4+wcOFCWFlZwcXFhRPrq0nyz3sGzp+PgZFRCNsh1cDZBDxgwABcvXqV7TAIkbuoqMqxyOpkPTZZc5yZh9LSTjhxYkyTx5mTkpIwceJEuLi4QF9fH7du3cKuXbtgUPsNcEDtsXWGscCCBbpyH1tvktp1e/X9ODs7M4pSUFDAtG7dmnn16pXCjkkIW/btY5guXRiGx6v8c98+2b5+ly6VKaj2T5cu9T+vpKSESUlJYXbt2sUMGzaMMTc3ZzZs2MDk5eXJNkA5aO57lgcANxkJOZWzY8CtWrXCqFGjcPjwYYSEcOuygRBZq7oRVFWKVnUDTlY3iBo7zlxSUoJdu3bhypUr+PPPP/HgwQN069YNjo6OmD59OgICAuo0K+Kq+t4zwzCcaPDF2QQMAJMmTUJ0dDQlYKLyJE2TnTWr8u+ySMIN1cBWVFRg//79CA8Ph5OTE8aNG4fFixfD1tZW4bPDmkIgEEhsnBQbWznuKxLVfY6FBRASEgKRSIRt27ax+oXCYyRMF5TGxcWFuXnzphzDqam0tBSGhoYoLS1VaMMOQhTN0lJyguzSBcjMbPnrx8YC06e/Q1nZP+dcBgaVZVimphcwbVo8nj2bj/LyTrCw4ClsIkhL1F4+CqhsHdq2rTeWLbOvU9oHADxeEf797ycwMDiOlStXIigoCLt375Z7rDweL4lhGJfa2zl9BqyrqwsdHR2UlJTA0NCQ7XAIkRt5l6IFBgLl5RUICXmGsrKO6NixDCEhj3HgwFJcu9Yd+fkbxMlZ1mff8iJt+aiMjAQUFdXtZqepCcyalYyvvx4JfX19MAyD3NxcBUUrGWerIKro6+ujuLiY7TAIkStFlKJNnaqDwsL2+P777ejceSCOH/8IfD4fBgabapwZA4qZCNJS0paJMjSUvL2igkF0dH8cPHgQfD4furq6GDlypDxDbBCnz4ABSsBEPURF1RwDBuQzTVZLSwuzZ8+usZzO0qWS95XnRJDmqj7my+PxJHZcKyyUvHwUw2TB2Ngajo6OGD16NFasWIG+ffvKO+R6cT4B6+npoaSkhO0wCJGr2lUQimzIw8UmNZLUHvOVlHxFIhEuX84CUATgn9pkAwPg++/N4O//mlN9Kzg/BKGpqYmysjK2w1C46jN4LC3l35iFsC8wsPKGW0VF5Z+KGn9VxESQlqj6txATU3fMF6is4Kgaz71x4wZiYmZg7149dOmCGj0fgoK0OJV8AY4n4MLCQgiFQoUul8IFbHXHIuopMLAyQdVOWFy4AVf934KxseSxXR6Ph5KSEvTo0QNPnz6Fv78/xo4tYOXLrKk4nYBv3rwJe3t76Orqsh2KQrHVHYuoL7bOvhtS/d9CXp7ksV0AuHr1Kj755BMYGRnB39+fk0vbS8LpBPzHH39wtsmHPLHRHYuQhrAxLFb9M5+QwEdZWc1JE+/evUNZWRnCw8Px/Plz/P7771i7di3nhhqk4fRNuP/+97+YNGkS22EonLLcFCHqQ94z9aSp/m9BIKis7eXzE2BsnIfWrY0wcuRIpV7BmtMz4SwtLXH06FHWS0UUrfaHHfhn1hJXLg2JepH3TD1A8rTitDR7zJxZgeLify7WlfHfglLOhJs1axbmzJmDxMRETsxHlzbvXNbYLEmSRlHvnUjG1ppxVeQ9LFa7xCwvLw9xcXHw9gZ27LDHnDmvUVDQFl26KMc06cbi9BkwwzAICAiAgYEBdu3axWr3Imnzzr29vVU+Eanze+cCLlwRyfsMODo6WuLMNmNjY4SGhsLFxQXR0dFwdXVt+cFYIO0MmNM34Xg8Hnbt2oXU1FR8++23rMYibd55QkICSxEpjjq/dy7gQlWMvGuFpU0rzsvLQ25uLu7du4d+/frJ5mAcwukEDACGhobYtWsXtmzZwmoc9X1AVJ0qvndlmujChaoYedcKGxtLLjEzNjbGzp074ebmppLlqJxPwADQu3dvPHnyROIsGEWp7wOi6lTtvSvbRBdFrRnXkJbWCtf3pde3b986U4u1tbVhamqKr7/+Glu3bm1h9NykFAlYV1cXnTt3RhaLhbB8Pr9O42ZtbW3w+XyWIlIcVXvvXLikb4rGXP4LBAJER0cjMjIS0dHREAgEig1SguoJt107YNo06V96Tk5OOHHihLjvi7GxMVxdXbF48WLs3bsXXbt2Ze+NyJFSJGAA6N69O+7fv8/a8e3t7eHt7S0+6zM2Nlabm1Cq9t7lfUkv6+GNhi7/q26SVg0JVVUQsJmEa19l5OQAtS9gq3/ptW7dGmZmZjh27Bg2bNiAoqIihIWFYe7cufD09FT8G1AQTldBVDdnzhz07t0bCxYsYOX4RHXI844+GxULDVUQsEHa77g2Hq9ySAMAdu3ahRMnTmDFihUYNGgQfHx8cPToUWhoKM15olRKWQVRnYeHB7Zs2YL8/Px69+PipRjhFnne0WdjeIOLN0kbezVRfRzb19cX9+7dw/7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           },
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         },
         {
           "output_type": "stream",
           "name": "stdout",
-          "text": "\nSolution: 6 \nNumber of closed cities: 20 \nNumber of open cities: 30 \nSolution energy: -7978184.0 \nAnticipated GDP: 7978191 (60.8%)\nHospitalizations: 298654 (99.6% of capacity) \n\n"
+          "text": "\nSolution: 6 \nNumber of closed cities: 22 \nNumber of open cities: 28 \nSolution energy: -8219415.0 \nAnticipated GDP: 8219426 (62.6%)\nHospitalizations: 296344 (98.8% of capacity) \n\n"
         },
         {
           "output_type": "display_data",
           "data": {
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           },
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         },
         {
           "output_type": "stream",
           "name": "stdout",
-          "text": "\nSolution: 7 \nNumber of closed cities: 26 \nNumber of open cities: 24 \nSolution energy: -7977739.0 \nAnticipated GDP: 7977735 (60.7%)\nHospitalizations: 299523 (99.8% of capacity) \n\n"
+          "text": "\nSolution: 7 \nNumber of closed cities: 16 \nNumber of open cities: 34 \nSolution energy: -8022540.0 \nAnticipated GDP: 8022516 (61.1%)\nHospitalizations: 298814 (99.6% of capacity) \n\n"
         },
         {
           "output_type": "display_data",
           "data": {
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           },
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         },
         {
           "output_type": "stream",
           "name": "stdout",
-          "text": "\nSolution: 8 \nNumber of closed cities: 23 \nNumber of open cities: 27 \nSolution energy: -7940940.0 \nAnticipated GDP: 7940901 (60.5%)\nHospitalizations: 299187 (99.7% of capacity) \n\n"
+          "text": "\nSolution: 8 \nNumber of closed cities: 22 \nNumber of open cities: 28 \nSolution energy: -8003188.0 \nAnticipated GDP: 8003193 (60.9%)\nHospitalizations: 299951 (100.0% of capacity) \n\n"
         },
         {
           "output_type": "display_data",
           "data": {
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           },
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         },
         {
           "output_type": "stream",
           "name": "stdout",
-          "text": "\nSolution: 9 \nNumber of closed cities: 25 \nNumber of open cities: 25 \nSolution energy: -7632874.0 \nAnticipated GDP: 7632845 (58.1%)\nHospitalizations: 299657 (99.9% of capacity) \n\n"
+          "text": "\nSolution: 9 \nNumber of closed cities: 27 \nNumber of open cities: 23 \nSolution energy: -7980028.0 \nAnticipated GDP: 7980026 (60.8%)\nHospitalizations: 299487 (99.8% of capacity) \n\n"
         },
         {
           "output_type": "display_data",
           "data": {
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           },
           "metadata": {}
         }
@@ -339,15 +339,15 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 5,
+      "execution_count": 4,
       "metadata": {},
       "outputs": [
         {
           "output_type": "display_data",
           "data": {
             "text/plain": "<Figure size 432x288 with 1 Axes>",
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jGAMDEQMwkoehYdl2QtSdWCxmIiIiGGdnZ8bW1paJiYlhOySV89NPPzGdOnVi3rx5U+N+O3fuZLy9vRt8HgC3GSk5ldMtYAD46KOPcPnyZanPTZsG7N2rhfbty7od2rcH9uyhURBEM/B4PLi7u+PWrVtYtmxZtaV1SM2io6Oxdu1anD59Gh988EGN+xoaGipkFArnE7CVlRXS0tJkPj9tGpCSUtbnm5JCyZdoHh6PB29vbyQlJeG///0vioqKJC0sIh3DMFiwYAFCQ0NhY2PDWhycT8Affvghnj17Rr9MhNRAR0cHly9fxurVq+Hu7g5ra2uEhoayHRZn3b9/H/n5+Rg1ahSrcXA+ARsbGwMAsrOzWY6EEG7r1q0bjh07hr59+2LgwIH4448/2A6Js44dO4aJEyeyPrmF8/WAeTwePvzwQ5pqTEgdTJw4ERMnTsSrV68wdOhQuLu7w9zcHOvXr0e7du3YDo8zjh8/jt27d9frNRrZBwy874YghNRNq1atcPnyZXzyyScoKSnBNLo5IvHPP//gzZs36N+/P9uhUAImRF198MEH8Pb2RlFREZo3b47i4mK2Q+KEwMBAzJ07lxMTWNiPoA4sLCwoARPSQAEBASgqKkLXrl1x6NAhjZ60cfz4cdy7dw9r166t1+tatmyJGzdu4O3bt3KNRyUScJs2bfDvv/+yHQYhKql79+44c+YMQkJCsH37dvTu3RuRkZFsh6VUDMMgJiYGixcvRkhISL0WzgQAd3d3jB49Gm5ubnIdEKASCfj169do1aoV22EQotKGDh2KmzdvYvXq1ViwYAG++OILtkNSuEuXLiEoKAhOTk7w9fXFN998g4EDB9b7ODweD5s3b0afPn0watQouRXoUYkE/OzZs3qtNEpIYwiFQggEAgQFBUEgEEAoFLIdktzweDx4enoiNDQUZ86cYTschUpJScGECRNQXFyMr776Cn///TemT5/e4OPxeDzs2LEDXbt2hYeHh1y6cjg/DA0oW1Vg7NixbIdBNIBQKERERARKSkoAlI0/j4iIAPC+OJQ6cHR0xN27d1FaWip1wQM23bp1CwKBAC9fvgTDMBCLxZV+lv93bd68eQMvLy8EBwfLLTYtLS3s2bMHzs7OOHfuXKMncnDrk5eBWsBEWaKioiTJt1xJSQmioqLUKgEbGxvD3NwcDx8+bFSZRXlKSUnBggUL8Pfff+Pzzz9Ht27doKWlBR6PJ/lZ9b9r07NnT7nHqa2tjenTp+O7777TjASclpaGD2XVniREjmTdYFHHmZi9evVCXFwcJxJwTEwMvLy88Nlnn+G3336Drq4u2yFJ9fz5cwQFBeH48eNy6UPnfB/wu3fvUFRUVGu1IkLkwcTEpF7bVZmTkxPi4uLYDgO7d++Gp6cnDhw4gJUrV3Iy+ebm5mL9+vWws7ODkZERHj58iAULFjT6uJxPwGlpabCwsGB9zjbRDHw+Hzo6OpW26ejogM/nsxSR4vTs2ROxsbGsnb+kpAR+fn747rvvcO3aNYwYMYK1WGR5+/Yttm7dii5duiA5ORlxcXHYvHmz3BqEnO+CoP5fokzl/bxRUVHIzs6GiYkJ+Hy+WvX/luvZsyfu3LkDsVis9Flhr169gqenJ5o1a4YbN25Iim5xAcMwuH79Onbv3o3Tp0/D3d0dZ8+ehaOjo9zPxfkETP2/RNns7e3VMuFWZWpqChMTEyQlJaFTp05KO+/jx4/B5/MxdepUfPnll9DW1lbaucPDyxbtTU0tW7osOPh9DfEXL17gl19+wZ49e1BSUgJfX18IBAKYmpoqLB7OJ+Bnz55RAiZEQXr27In4+HilJeDS0lLMmDEDy5Ytg7+/v1LOWS48HJg/v2zldAB4+hSYN0+MyMgopKRsQkJCAtzd3bFz504MGTJEKd2enE/AKSkp6NOnD9thEKKWyhOwp6dno47z9OlTycIJFR9VnTlzBk2bNsWSJUsadb6GCAh4n3zLFRRo4ZdfHHHwoD/c3NzqPUW5sTidgEUiEc6ePYs1a9awHQohaqljx444depUg18fFRWFbdu24datW+jSpYtkfG7FR0UGBgYIDQ1lpRJZaqr07QUFreDh4aHcYP6H0wk4Ojoa5ubm6Ny5M9uhEKJQNfVNKtLJkycxcuTIBr/+008/xdChQ3Hs2DEYGBjIMTL5s7Qs63aQtp0tnB6GdvjwYUyePJntMAhRqPK+yadPAYYp+zl/ftl2RXr27BliYmIaVax9586diImJ4XzyBcq+1HR1K89yNDQs284Wzibg4uJinDhxAp988gnboRCiUNL6JvPzy7Yr0t69ezFt2jQ0a9aswcf46KOP8Pr1a6Snp8sxMsVwdn4IHZ2FaNeuBDwe0L49sGcPuyupc7YL4sKFC+jWrRss2bw+IEQJZPVNytouDykpKdi9ezeuXLnSqONkZWXBzMwM//zzD8zNzeUUnWIsXLgQwcFjsHSpTu07KwlnW8Dnz5/Hxx9/zHYYhCicrDaGvNse4eGAlRWgpcWga1d9fPRRKGxsbBp0rOTkZCxZsgTW1tZwdnbmxPpq0rx/z8DFi6EwMvJlO6RKOJuA+/Xrh+vXr7MdBiEKFxxc1hdZkbz7Jiv3M/NQVNQWp06Nrnc/c2xsLCZPngxnZ2cYGBjg3r172LdvHwyrvgEOqNq3zjCWWLxYT+F96/VSddxeTQ8nJydGWXJzcxljY2Pm9evXSjsnIWwJC2OY9u0Zhscr+xkWJt/jt29floKqPtq3r/l1hYWFTHx8PLNv3z5m6NChjIWFBbNlyxYmOztbvgEqQEPfsyIAuM1Iyak8RspgaVmcnZ2Z27dvK+7boAovLy8MGzYMvr7cumwgRBGEQqHCalBoaZWln6p4PKBibfPCwkLs27cP165dw507d/D48WN07NgRPXr0wKhRo+Dl5VWtWBFX1fSeRSJGqQW+eDxeLMMwzlW3c7YLAgCmTJmCQ4cOsR0GIQpXvhJHed3h8pU45LUcUm39zGKxGGFhYbCxscG5c+fA5/Px888/IzMzE/fv38fBgwcxffp0ziXfin28Vlbvh+6Fh5dtk8bSEvD19cWcOXOqFd9XNk4n4I8//hhXr16FSCRiOxRCFKqmlTjkoWwMbGmlbeX9zJcuXULHjv/BnDl8PHuWgjt3TkFXdxacnJyUPjW3PmSNn/bzK/spLW3wePnw8XkIa2tr7Nu3D/PmzVN+4BVwdhgaAOjp6UFXVxeFhYVo2rQp2+EQojCKXolj2jSgpEQMX9/nKC5ugzZtiuHr+xSHDi3HzZudkJOzBcXFZemgPJGVv46rZI2f3rNHevLV1gbmz4/DN98Mh4GBARiGQVZWllJilYXTLWCgbO54QUEB22EQolDKWIlj5kxd5OW1wg8/7IGZWX/8+usn4PP5MDTcLkm+5ZQxEaSxZI2TlnXBLBYzEAj64MiRI+Dz+dDT08Pw4cMVF2AdcPomHABYWFjgzz//pJKURK1VXY0ZKFuJY8yYMQqvTVzXG3RcUPFG5bt3Jjh/ng+hsPLno60tKwk/hb5+V8kNxVGjRqFXr15KKQwk6yYcp7sgAEBfXx+FhYVsh0GIQrG5EgcXi9RIU/VLqlmzbIwZE/G/58o+Jy2tQujqHkJBgReA92OTDQ2BH34wh6fnW07VreB8F4S2tjaKi4vZDkPpZN3dJerL3t4e/v7+WL9+Pfz9/ZW2KocyJoI0RvnfQmho9RuVurol4PPPAxADSIGZ2Trcvt0XBw7oo317VKr54O3dhFPJF+B4F0ReXh5at26Nt2/fQk9PT2nnZVvVyv1A2R8E24VDiPpiqxxmXeIq/1tYvz4I0obuMgyDwsJCWFpa4scff0RpaSmuX7/OqZWsVXIc8O3bt2Fvb69RyRdgrzoW0VzTpgEpKWV9vikp3Ei+QOW/hexs2Qn1+vXrWLlyJYyMjODp6cnJpe2l4XQCvnHjBmeLfCgSG9WxCKkNG91iFX/no6L4KC6uPBGktLQUxcXFCAgIwIsXL3D16lVs2LCBc10NsnD6Jtyff/6JKVOmsB2G0qnKTRGiOaQtaKmMscIV/xbKb7Tx+VEwMcmGsbERhg8frtIrWHO6BZyQkKCRyxFx/aYI0TzK6BaT1sIODgYMDN6PhRMK7bFnjz86d16Pzz77TKWTL8DxBDx//nx8+umnnBmGJhQKIRAIEBQUBIFAILd5+lVNm1Z2w63qXVw2++VoVAa72P78Fd0tJmtaMQDs3asFI6O3ABhO/C3IE6dHQTAMAy8vLxgaGmLfvn1KrV5UFZsD5dlGozLYxYXP38pKerdY+/ZlN+0UfXxnZ2cIBAIMGjSo8SdjgUqOguDxeNi3bx8SEhLw3XffsRqLooulcBmNymAXFz5/RXeL1dTCzsrKwsOHD9G7d2/5nIxDOJ2AAaBp06bYt28fdu7cyWocii6WwmXqOCqD7Uv6+uDC56/obrGaymWGhITAxcVFLYejcj4BA0D37t3x7NkzVmt3KqNYClcpa80yZWFrGfiG4srn39ixwjV96a1YkYkmTSrPeDU0BGbMeIBvvvkGu3btamT03KQSCVhPTw9mZmZIZbHJxefzqxWj1tHRAZ/PZyki5VG3URlcuKSvj7p8/lxs0VeMqWVLYNYs2V96M2Zog2HmQk/vBXi8sptt//1vJkJDP8KBAwfQoUMHVt+LoqhEAgaATp064dGjR6yd397eHmPGjJG0eE1MTDTiBhzAzVEZjaGMO/ryTIa1ff5cbNFXjenNG6DqBWzFLz1jY2OMHPkWVlauaNrUGPPnb8LBg6Ph5+cHNzc35b8BZZG2UJyshzIX5axqwYIFzHfffcfa+Yn6UORijWFhDGNoWPm4hobyX2SzIi4tPllbTFUfPN7714SGhjIeHh7M9evXGQCMh4cHIxKJWHsP8gQZi3KqTAt4xIgR2LlzJ3Jycmrcj4uXYoRbFNmlwkb3Bhdu0jX03BX7scePH4+HDx/i4MGD8PPzw/79+5VSq5dV0rKyrAebLWC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GT0/IAIz4i8+vOk6IqhOJREx0dDTj5OTEWFtbM/Hx8WyHpHT+7//+j+nWrRvz4sWLes/bvn074+Pj0+zrALjBSMipnL4DBoD3338fFy5ckPiYtzewa5cGzM2rhh3MzYEff6QqCKIeeDwe3N3dcf36dfj7+9fZWofULy4uDqtXr8Zvv/2Gd955p95z+Xy+XKpQOJ+ALSwskJ2dLfVxb28gM7NqzDczk5IvUT88Hg8+Pj7IyMjAf//7X5SXl4vvsIhkDMNg3rx5iIiIgJWVFWtxcD4Bv/fee3j8+DH9MhFSD21tbVy4cAGBgYFwd3eHpaUlIiIi2A6Ls27fvo3S0lJ8+OGHrMbB+QRsaGgIACgsLGQ5EkK4rVevXjhy5AgGDBgAZ2dn/P7772yHxFlHjhzBhAkTWF/cwvl+wDweD++99x4tNSakESZMmIAJEybg2bNnGD58ONzd3WFiYoI1a9bA2NiY7fA44+jRo9i5c2eTnqOWY8DAv8MQhJDGad++PS5cuICPPvoIlZWV8KbJEbG///4bL168wKBBg9gOhRIwIarqnXfegY+PD8rLy9GmTRtUVFSwHRInhISEYPbs2ZxYwMJ+BI1gampKCZiQZgoODkZ5eTl69uyJAwcOqPWijaNHj+LWrVtYvXp1k5737rvv4urVq3j58qVM41GKBNyxY0f8888/bIdBiFLq3bs3Tp06hfDwcGzduhX9+vVDTEwM22EpFMMwiI+Px+LFixEeHt6kjTMBwN3dHWPGjIGbm5tMCwKUIgE/f/4c7du3ZzsMQpTa8OHDce3aNQQGBmLevHn44osv2A5J7v744w+sW7cOjo6OmDt3Lr7++ms4Ozs3+XV4PB42btyI/v3748MPP5RZgx6lSMCPHz9u0k6jhLREVBRgYQFoaFT9qUrtTXk8HiZNmoSIiAicOnWK7XDkKjMzE+PHj0dFRQU2bNiAO3fuYPr06c1+PR6Ph23btqFnz57w9PSUyVAO58vQgKpdBcaOHct2GEQNREVV9ZQuLa36e3WPaUC1Vlk6ODggJSUFb968kbjhAZuuX7+OsLAwPH36FAzDQCQS1fiz+r8b8uLFC0yePBmhoaEyi01DQwM//vgjnJyccObMmRYv5ODWT14KugMmihIc/G/yrVbdY1qVErChoSFMTEyQlpbWojaLspSZmYl58+bhzp07WLFiBXr16gUNDQ3weDzxn7X/uyF9+vSReZyampqYPn06vv32W/VIwNnZ2XhPWu9JQmQoK6tpx5VZ3759kZiYyIkEHB8fj8mTJ+PTTz/Fr7/+Ch0dHbZDkujJkydYt24djh49KpMxdM6PAZeUlKC8vLzBbkWEyIK0XtKq2GPa0dERiYmJbIeBnTt3YtKkSdi3bx9WrlzJyeRbXFyMNWvWwMbGBgYGBkhLS8O8efNa/LqcT8DZ2dkwNTVlfc02UQ+hoQCfX/MYn191XNX06dMHCQkJrF2/srISCxYswLfffovLly9j1KhRrMUizcuXL7F582b06NEDDx8+RGJiIjZu3CizG0LOJ2Aa/yWK5O1d1VNaHXpM9+nTBzdv3mRlYcazZ88wcuRIZGVl4erVq+jevbvCY5CGYRhcvnwZM2bMgKWlJZKTk3H69Gns27cP5ubmMr0W5xMwjf8SRVOXHtPt2rWDkZERMjIyFHrd+/fvw8nJCYMGDcKJEyfEHQ8Vob4Sw7y8PHz77bewtbWFn58f+vTpg/v37+Onn36Cg4ODXOLh/CTc48ePKQETIid9+vRBUlISunXrppDrvXnzBjNmzIC/vz+WLVumkGtWk1Ri+MknIsTExCIzcz2Sk5Ph7u6O7du3Y9iwYQoZ9uR8As7MzET//v3ZDoMQlVSdgCdNmtSi13n06JF444S3v2o7deoU9PX1sWTJkhZdrzkklRi+fq2Bn392wP79y+Dm5tbkJcotxekELBQKcfr0aQQFBbEdCiEqqWvXrjhx4kSznx8bG4stW7bg+vXr6NGjh7g+9+2vt+np6SEiIoKVTmTSSglfv24PT09PxQbzP5xOwHFxcTAxMeHUAD0h8hAVVXWHlpVVVfIWGqqYsefjx49j9OjRzX7+/PnzMXz4cBw5cgR6enoyjEz2zMyqhh0kHWcLpyfhDh48iClTprAdBiFyVT02+egRwDD/Ln+Wdw+Kx48fIz4+vkXN2rdv3474+HjOJ1+g6k1NR6eyxjG2Sww5m4ArKipw7NgxfPTRR2yHQohc1bf8WZ527doFb29vtG7dutmv8f777+P58+fIycmRYWTy4eSUBm3thTA2ruRMiSFnhyDOnTuHXr16wUwVlyAR8hY2lj9nZmZi586duHjxYotep6CgAJ07d8bff/8NExMTGUUnHwsXLkRoqAeWLtVmOxQxzt4Bnz17Fh988AHbYRAid4pa/vxvDSyDnj118f77EbCysmrWaz18+BBLliyBpaWluKaXi96u+z1/PgIGBnPZDqkGzibggQMH4sqVK2yHQYjcKWL5c81xZh7KyzvhxIkxTR5nTkhIwJQpU+Dk5AQ9PT3cunULu3fvBr/2N8ABtcfWGcYMixe34lZ/59p1e/V9OTo6MopSXFzMGBoaMs+fP1fYNQlhS2Qkw5ibMwyPV/VnZKRsX9/cvCoF1f4yN6//eWVlZUxSUhKze/duZvjw4YypqSmzadMmprCwULYBykFzv2d5AHCDkZBTOTsG3Lp1a4wePRpHjhzB3Lnc+thAiKxVTwRVl6JVT8DJaoKosePMZWVl2L17Ny5fvoybN2/i/v376Nq1K+zt7eHn54fJkydDW5s7Y6j1qe97ZhiGEw2+OJuAAWDq1KkICwujBExUnrx34mioBlYkEmH//v0IDg6Gg4MDxo0bB39/f1hbWyt8dVhTpKamIjY2FoWFhTAyMoJAIICtrS2ioqrGfYXCus8xMwPmzp0LoVCInTt3svqGwmMkLBeUxsnJiblx44Ycw6mpvLwc+vr6KC8vh6ampsKuS4iiWVhITpDm5lUNgVoqKgrw83uDiop/77n4/KoyLGPjPzBrVgyePFmEyspOMDPjKWwhSEukpqYiOjoalZX/1vZqa2ujbVsPrFhhW6e0DwB4vFL85z+Pwef/gqCgIPj4+GDPnj1yj5XH4yUwDONU+zin74BbtWoFHR0dlJWVQV9fn+1wCJEbeZeieXsDlZUizJ37BBUVHdGxYwXmzn2EAweW49q1bigq2iROzsqyD15sbGyN5AtU9RjOyIhFaaltnfM1NYE5cxLx9dcjoaenB4ZhUFBQoKBoJeNsFUQ1PT09vH79mu0wCJErRZSi+frq4NWr9vj++x/RufMg/PLLRxAIBODzt9a4MwYUsxCkpQoLCyUe19eXfFwkYhAW1h+HDh2CQCBAq1atMHLkSHmG2CBKwIRwgKJ24tDS0sK8efOQlJSEmzdvwt/fH48fS56M4uI+eG/X9ZaUGEk859UryccZJgtGRkZYv349bG1tcenSJcyfP1+O0TaM00MQAKCrq4uysjK2wyBErmpXQSiyIQ8Xm9RIUnui8uxZATw8omv0dxAKhbh4MQtAKYB/39H4fOD7700wadJLTvWt4PwdsKamJioqKtgOQ+Hq69xPVBNbO3FwfR+86n8L06fX7JmRmmqL6GgPFBToi8dz//rrL0REzMa+fbp1tpXy8dHiVPIFwN2FGAzDMCUlJQyfz2fKysoUel22RUYyDJ9fs3icz5d9cT4h1eS9EKS5JP1bqPslZFatWsXs2LGDsbOzY3r37s0UFBSwHXoNkLIQg9N3wDdu3ICtrS1atWrFdigKxVZ3LKK+uLoPnqR/C7UZGRXhypUrWLlyJQwMDDBp0iRObm0vCacT8NWrVznb5EOe2OiORUhD2BgWa+h3XkPjNVxcTiM4OBh5eXm4dOkS1q5dy72hBik4nYD//PNPDBw4kO0wFE5R3bEIaSy2msZL/51nYGoqxL59eoiOngo3N7cW9TVmC6cTcHJyslpuR8T1SRGifhQxLCbpDjs0FNDTE9U4j88HIiN5ePxYkzNDJc3F6QQ8Z84czJ8/nzNlaKmpqQgLC8O6desQFhaG1NRUuVzH27tq1rb2LC6bv2xUlcEutn/+8h4Wk3aHDQC7dmnAwOAlAIYT/xZkidO9IBiGweTJk8Hn87F7925WuxdJW3fu4eEBW9u6yx5VSe36S+DfPgKq8g+By7jw85d3r4qGXt/JyQlhYWEYMmRIyy/GAmm9IDh9B8zj8bB7924kJyfj22+/ZTUWaevOY2NjWYpIcagqg11c+PnLe1isvjvsgoICpKWloV+/frK5GIdwOgEDgL6+Pnbv3o3t27ezGoe0defSjqsSVazKYPsjfVNw4ecv72Gx+iaew8PD4eLiopLlqJxPwADQu3dvPH78uM4dqCIZGUleXy7tuCpRtaoMtmb0m4srP/+W1grX96YXEJAPLa2aK175fGDGjLv4+uuvsWPHjhZGz02c7wUBVLWl7Ny5M7KysmBpaclKDAKBQOIYsEAgYCUeRQoNlTwGqaxVGfV9pOfimHZjfv7SGpOz6e2YtLSMcPy4AI8eVcVUu+XljBmaWLp0Nlq1+hoVFR1hZsbDihX52LDhfezbtw9dunRh8TuRH6W4AwaAbt264d69e6xd39bWFh4eHuI7XiMjI7WYgAO4WZXREoqY0Zfl8EZDP//qCeLq4bDCwkJER0fLrUqnMWrH9OZNIdzcomFr+29Mb49jGxoaYvTol7CwcIW+viHmzFmP/fvHYMGCBXBzc2PjW1AIpbgDBv5NwKNHj2YtBltbW7VIuJJ4eytvwq1Nnt2/5LW1UH0///omiNn6fZUUk45OJQSCWKSm/hvT2296EyZMwIkTJ7B7924MHjwYnp6eCAoKUlTIrFCaO+BRo0Zh+/btKCoqqvc8ZZpcIeyQ54w+GxULXJwglnZtI6Oax99+0/Py8kJaWhr279+PBQsWYO/evdDQUJoU1SxK8915eXlh+PDh8PPzg7TaZWWbXCHskOeQChs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           },
           "metadata": {}
         }
@@ -385,7 +385,7 @@
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     {
       "cell_type": "code",
-      "execution_count": 6,
+      "execution_count": 5,
       "metadata": {
         "tags": []
       },
@@ -394,8 +394,8 @@
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           "data": {
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           },
           "metadata": {
             "needs_background": "light"
@@ -444,21 +444,15 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 1,
+      "execution_count": 6,
       "metadata": {
         "tags": []
       },
       "outputs": [
         {
-          "output_type": "error",
-          "ename": "NameError",
-          "evalue": "name 'pd' is not defined",
-          "traceback": [
-            "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
-            "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
-            "\u001b[0;32m<ipython-input-1-0325172aeadc>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0mdata_file\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m'july.csv'\u001b[0m \u001b[0;31m# contains cities, gdps, number of sick people\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      2\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mdf\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpd\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mread_csv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdata_file\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      4\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      5\u001b[0m \u001b[0mn_sims\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m10\u001b[0m \u001b[0;31m# number of low energy results to sample\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
-            "\u001b[0;31mNameError\u001b[0m: name 'pd' is not defined"
-          ]
+          "output_type": "stream",
+          "name": "stdout",
+          "text": "Sampling 10 low energy solutions. Considering safe capacity of 300000 sick people at one time, in a situation where there are currently 840793 sick people. Assuming that closed cities retain 80% of their GDP. Assuming that closed cities retain 20% of their sick. \n\nBEST SOLUTION\nOpen cities\n['Boston', 'Charlotte', 'Chicago', 'Cincinnati', 'Cleveland', 'Columbus', 'Detroit', 'Hartford', 'Honolulu', 'Houston', 'Indianapolis', 'Kansas City', 'Louisville', 'Memphis', 'Milwaukee', 'Minneapolis', 'Nashville', 'New York', 'Oklahoma City', 'Philadelphia', 'Portland', 'Providence', 'Raleigh', 'Sacramento', 'San Diego', 'San Jose', 'Seattle', 'Stamford', 'Washington DC']\n\n\nClosed cities\n['Atlanta', 'Austin', 'Baltimore', 'Dallas', 'Denver', 'Jacksonville', 'Las Vegas', 'Los Angeles', 'Miami', 'New Orleans', 'Orlando', 'Phoenix', 'Pittsburgh', 'Richmond', 'Riverside', 'Salt Lake City', 'San Antonio', 'San Francisco', 'St Louis', 'Tampa', 'Virginia Beach']\n\n\nSalvaged GDP: 12093987.2 (92.1%)\nUsed up hospital capacity: 265281 of 300000 (88.4%)\nCPU times: user 2.33 s, sys: 501 ms, total: 2.83 s\nWall time: 1min 1s\n"
         }
       ],
       "source": [
@@ -486,11 +480,152 @@
     },
     {
       "cell_type": "code",
-      "execution_count": null,
+      "execution_count": 7,
       "metadata": {
         "tags": []
       },
-      "outputs": [],
+      "outputs": [
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": "\nSolution: 0 \nNumber of closed cities: 21 \nNumber of open cities: 29 \nSolution energy: -1.2529105553426476e+16 \nAnticipated GDP: 12093987.2 (92.1%)\nHospitalizations: 265281 (88.4% of capacity) \n\n"
+        },
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": "<Figure size 432x288 with 1 Axes>",
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+          },
+          "metadata": {}
+        },
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": "\nSolution: 1 \nNumber of closed cities: 26 \nNumber of open cities: 24 \nSolution energy: -1.252910555339316e+16 \nAnticipated GDP: 12060662.8 (91.8%)\nHospitalizations: 268617 (89.5% of capacity) \n\n"
+        },
+        {
+          "output_type": "display_data",
+          "data": {
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+          },
+          "metadata": {}
+        },
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": "\nSolution: 2 \nNumber of closed cities: 21 \nNumber of open cities: 29 \nSolution energy: -1.2529105553377744e+16 \nAnticipated GDP: 12045275.600000001 (91.7%)\nHospitalizations: 265867 (88.6% of capacity) \n\n"
+        },
+        {
+          "output_type": "display_data",
+          "data": {
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+          },
+          "metadata": {}
+        },
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": "\nSolution: 3 \nNumber of closed cities: 28 \nNumber of open cities: 22 \nSolution energy: -1.2529105553334772e+16 \nAnticipated GDP: 12002272.2 (91.4%)\nHospitalizations: 269521 (89.8% of capacity) \n\n"
+        },
+        {
+          "output_type": "display_data",
+          "data": {
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+          },
+          "metadata": {}
+        },
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": "\nSolution: 4 \nNumber of closed cities: 20 \nNumber of open cities: 30 \nSolution energy: -1.2529105553323628e+16 \nAnticipated GDP: 12132929.8 (92.4%)\nHospitalizations: 268155 (89.4% of capacity) \n\n"
+        },
+        {
+          "output_type": "display_data",
+          "data": {
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+          },
+          "metadata": {}
+        },
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": "\nSolution: 5 \nNumber of closed cities: 22 \nNumber of open cities: 28 \nSolution energy: -1.2529105553321288e+16 \nAnticipated GDP: 11988826.4 (91.3%)\nHospitalizations: 265121 (88.4% of capacity) \n\n"
+        },
+        {
+          "output_type": "display_data",
+          "data": {
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+          },
+          "metadata": {}
+        },
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": "\nSolution: 6 \nNumber of closed cities: 25 \nNumber of open cities: 25 \nSolution energy: -1.2529105553311512e+16 \nAnticipated GDP: 11979029.4 (91.2%)\nHospitalizations: 266927 (89.0% of capacity) \n\n"
+        },
+        {
+          "output_type": "display_data",
+          "data": {
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+          },
+          "metadata": {}
+        },
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": "\nSolution: 7 \nNumber of closed cities: 22 \nNumber of open cities: 28 \nSolution energy: -1.2529105553306504e+16 \nAnticipated GDP: 11974008.600000001 (91.2%)\nHospitalizations: 265457 (88.5% of capacity) \n\n"
+        },
+        {
+          "output_type": "display_data",
+          "data": {
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+          },
+          "metadata": {}
+        },
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": "\nSolution: 8 \nNumber of closed cities: 26 \nNumber of open cities: 24 \nSolution energy: -1.2529105553301784e+16 \nAnticipated GDP: 11969293.4 (91.1%)\nHospitalizations: 265711 (88.6% of capacity) \n\n"
+        },
+        {
+          "output_type": "display_data",
+          "data": {
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+          },
+          "metadata": {}
+        },
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": "\nSolution: 9 \nNumber of closed cities: 31 \nNumber of open cities: 19 \nSolution energy: -1.252910555329756e+16 \nAnticipated GDP: 11965070.4 (91.1%)\nHospitalizations: 265272 (88.4% of capacity) \n\n"
+        },
+        {
+          "output_type": "display_data",
+          "data": {
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\n"
+          },
+          "metadata": {}
+        }
+      ],
       "source": [
         "for sol_n in range(len(solution)):\n",
         "  print(\"\\nSolution:\", sol_n, \n",
@@ -516,19 +651,30 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 3,
+      "execution_count": 8,
       "metadata": {},
       "outputs": [
         {
-          "output_type": "error",
-          "ename": "NameError",
-          "evalue": "name 'df' is not defined",
-          "traceback": [
-            "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
-            "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
-            "\u001b[0;32m<ipython-input-3-acbbd3ea13ec>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mfreq_closed\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m{\u001b[0m\u001b[0mcity\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;36m0\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mcity\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mdf\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'city'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m}\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      2\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0msol_n\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msolution\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      3\u001b[0m     \u001b[0mclosed_cities\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msolution\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0msol_n\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'closed_cities'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      4\u001b[0m     \u001b[0;32mfor\u001b[0m \u001b[0mcity\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mclosed_cities\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      5\u001b[0m         \u001b[0mfreq_closed\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mcity\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m+=\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msolution\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
-            "\u001b[0;31mNameError\u001b[0m: name 'df' is not defined"
-          ]
+          "output_type": "display_data",
+          "data": {
+            "text/plain": "<Figure size 1080x288 with 1 Axes>",
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\n"
+          },
+          "metadata": {
+            "needs_background": "light"
+          }
         }
       ],
       "source": [
@@ -570,7 +716,7 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 10,
+      "execution_count": 9,
       "metadata": {
         "tags": []
       },
@@ -578,7 +724,7 @@
         {
           "output_type": "stream",
           "name": "stdout",
-          "text": "Sampling 10 low energy solutions. Considering safe capacity of 300000 sick people at one time, in a situation where there are currently 436770 sick people. Assuming that closed cities retain 80% of their GDP. Assuming that closed cities retain 20% of their sick. \n\nBEST SOLUTION\nOpen cities\n['Atlanta', 'Austin', 'Charlotte', 'Cleveland', 'Dallas', 'Honolulu', 'Houston', 'Indianapolis', 'Jacksonville', 'Kansas City', 'Los Angeles', 'Louisville', 'Memphis', 'Miami', 'Milwaukee', 'Minneapolis', 'New Orleans', 'New York', 'Oklahoma City', 'Orlando', 'Philadelphia', 'Phoenix', 'Pittsburgh', 'Portland', 'Richmond', 'Riverside', 'Sacramento', 'Salt Lake City', 'San Antonio', 'San Diego', 'San Francisco', 'San Jose', 'Seattle', 'Tampa', 'Virginia Beach', 'Washington DC']\n\n\nClosed cities\n['Baltimore', 'Boston', 'Chicago', 'Cincinnati', 'Columbus', 'Denver', 'Detroit', 'Hartford', 'Las Vegas', 'Nashville', 'Providence', 'Raleigh', 'St Louis', 'Stamford']\n\n\nSalvaged GDP: 12408355.0 (94.5%)\nUsed up hospital capacity: 297754 of 300000 (99.3%)\nCPU times: user 2.33 s, sys: 497 ms, total: 2.82 s\nWall time: 1min\n"
+          "text": "Sampling 10 low energy solutions. Considering safe capacity of 300000 sick people at one time, in a situation where there are currently 436770 sick people. Assuming that closed cities retain 80% of their GDP. Assuming that closed cities retain 20% of their sick. \n\nBEST SOLUTION\nOpen cities\n['Atlanta', 'Austin', 'Baltimore', 'Charlotte', 'Cincinnati', 'Cleveland', 'Columbus', 'Dallas', 'Denver', 'Detroit', 'Hartford', 'Houston', 'Indianapolis', 'Jacksonville', 'Los Angeles', 'Louisville', 'Memphis', 'Miami', 'Milwaukee', 'Minneapolis', 'Nashville', 'New York', 'Oklahoma City', 'Orlando', 'Phoenix', 'Pittsburgh', 'Portland', 'Richmond', 'Riverside', 'Sacramento', 'Salt Lake City', 'San Antonio', 'San Diego', 'San Francisco', 'San Jose', 'Seattle', 'Tampa', 'Virginia Beach', 'Washington DC']\n\n\nClosed cities\n['Boston', 'Chicago', 'Honolulu', 'Kansas City', 'Las Vegas', 'New Orleans', 'Philadelphia', 'Providence', 'Raleigh', 'St Louis', 'Stamford']\n\n\nSalvaged GDP: 12645674.6 (96.3%)\nUsed up hospital capacity: 315815 of 300000 (105.3%)\nCPU times: user 2.5 s, sys: 527 ms, total: 3.03 s\nWall time: 1min\n"
         }
       ],
       "source": [
@@ -613,7 +759,7 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 11,
+      "execution_count": 10,
       "metadata": {
         "tags": []
       },
@@ -621,28 +767,28 @@
         {
           "output_type": "stream",
           "name": "stdout",
-          "text": "April closed cities: ['Baltimore', 'Boston', 'Chicago', 'Cincinnati', 'Columbus', 'Denver', 'Detroit', 'Hartford', 'Las Vegas', 'Nashville', 'Providence', 'Raleigh', 'St Louis', 'Stamford']\n"
+          "text": "April closed cities: ['Boston', 'Chicago', 'Honolulu', 'Kansas City', 'Las Vegas', 'New Orleans', 'Philadelphia', 'Providence', 'Raleigh', 'St Louis', 'Stamford']\n"
         },
         {
           "output_type": "display_data",
           "data": {
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           },
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         },
         {
           "output_type": "stream",
           "name": "stdout",
-          "text": "July closed cities: ['Atlanta', 'Dallas', 'Houston', 'Jacksonville', 'Las Vegas', 'Los Angeles', 'Miami', 'Orlando', 'Phoenix', 'Riverside', 'San Antonio', 'San Diego', 'San Francisco']\n"
+          "text": "July closed cities: ['Atlanta', 'Austin', 'Baltimore', 'Dallas', 'Denver', 'Jacksonville', 'Las Vegas', 'Los Angeles', 'Miami', 'New Orleans', 'Orlando', 'Phoenix', 'Pittsburgh', 'Richmond', 'Riverside', 'Salt Lake City', 'San Antonio', 'San Francisco', 'St Louis', 'Tampa', 'Virginia Beach']\n"
         },
         {
           "output_type": "display_data",
           "data": {
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           },
           "metadata": {}
         }
@@ -663,15 +809,15 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 12,
+      "execution_count": 11,
       "metadata": {},
       "outputs": [
         {
           "output_type": "display_data",
           "data": {
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\n"
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