Feature_Extraction_and_Data_Exploration.ipynb

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      "cell_type": "code",
      "execution_count": null,
      "id": "b2592fc7",
      "metadata": {
        "id": "b2592fc7"
      },
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "import pandas as pd\n",
        "import matplotlib.pyplot as plt"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "0e2f6c91",
      "metadata": {
        "id": "0e2f6c91",
        "outputId": "47f32b47-23f4-40b2-a48a-142510cf80b4"
      },
      "outputs": [
        {
          "data": {
            "text/html": [
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              "\n",
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              "    }\n",
              "\n",
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              "        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>caseID</th>\n",
              "      <th>opened</th>\n",
              "      <th>closed</th>\n",
              "      <th>difference_mins</th>\n",
              "      <th>responsible_agency</th>\n",
              "      <th>category</th>\n",
              "      <th>sup_district</th>\n",
              "      <th>neighborhood</th>\n",
              "      <th>source</th>\n",
              "      <th>pop_den</th>\n",
              "      <th>pop</th>\n",
              "      <th>households</th>\n",
              "      <th>median_hInc</th>\n",
              "      <th>percent_pov</th>\n",
              "      <th>eduHS</th>\n",
              "      <th>vehicles</th>\n",
              "      <th>num_business</th>\n",
              "      <th>num_facilities</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>11884029</td>\n",
              "      <td>1/1/2020 0:07</td>\n",
              "      <td>1/1/2020 9:44</td>\n",
              "      <td>577</td>\n",
              "      <td>Recology_Abandoned</td>\n",
              "      <td>Street and Sidewalk Cleaning</td>\n",
              "      <td>8</td>\n",
              "      <td>Castro</td>\n",
              "      <td>Integrated Agency</td>\n",
              "      <td>36.9</td>\n",
              "      <td>68,200</td>\n",
              "      <td>34,190</td>\n",
              "      <td>$121,250</td>\n",
              "      <td>7%</td>\n",
              "      <td>9%</td>\n",
              "      <td>36,910</td>\n",
              "      <td>19485</td>\n",
              "      <td>64</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>11884069</td>\n",
              "      <td>1/1/2020 0:42</td>\n",
              "      <td>1/1/2020 1:02</td>\n",
              "      <td>20</td>\n",
              "      <td>Parking Enforcement Dispatch Queue</td>\n",
              "      <td>Parking Enforcement</td>\n",
              "      <td>5</td>\n",
              "      <td>Panhandle</td>\n",
              "      <td>Phone</td>\n",
              "      <td>56.0</td>\n",
              "      <td>84,030</td>\n",
              "      <td>40,460</td>\n",
              "      <td>$91,055</td>\n",
              "      <td>13%</td>\n",
              "      <td>14%</td>\n",
              "      <td>33,550</td>\n",
              "      <td>20027</td>\n",
              "      <td>135</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>11884079</td>\n",
              "      <td>1/1/2020 0:51</td>\n",
              "      <td>1/1/2020 7:55</td>\n",
              "      <td>424</td>\n",
              "      <td>Parking Enforcement Dispatch Queue</td>\n",
              "      <td>Parking Enforcement</td>\n",
              "      <td>1</td>\n",
              "      <td>Inner Richmond</td>\n",
              "      <td>Phone</td>\n",
              "      <td>24.5</td>\n",
              "      <td>79,970</td>\n",
              "      <td>32,240</td>\n",
              "      <td>$83,215</td>\n",
              "      <td>11%</td>\n",
              "      <td>22%</td>\n",
              "      <td>38,790</td>\n",
              "      <td>13684</td>\n",
              "      <td>162</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "     caseID         opened         closed  difference_mins  \\\n",
              "0  11884029  1/1/2020 0:07  1/1/2020 9:44              577   \n",
              "1  11884069  1/1/2020 0:42  1/1/2020 1:02               20   \n",
              "2  11884079  1/1/2020 0:51  1/1/2020 7:55              424   \n",
              "\n",
              "                   responsible_agency                      category  \\\n",
              "0                  Recology_Abandoned  Street and Sidewalk Cleaning   \n",
              "1  Parking Enforcement Dispatch Queue           Parking Enforcement   \n",
              "2  Parking Enforcement Dispatch Queue           Parking Enforcement   \n",
              "\n",
              "   sup_district    neighborhood             source  pop_den     pop  \\\n",
              "0             8          Castro  Integrated Agency     36.9  68,200   \n",
              "1             5       Panhandle              Phone     56.0  84,030   \n",
              "2             1  Inner Richmond              Phone     24.5  79,970   \n",
              "\n",
              "  households median_hInc percent_pov eduHS vehicles  num_business  \\\n",
              "0     34,190   $121,250           7%    9%   36,910         19485   \n",
              "1     40,460    $91,055          13%   14%   33,550         20027   \n",
              "2     32,240    $83,215          11%   22%   38,790         13684   \n",
              "\n",
              "   num_facilities  \n",
              "0              64  \n",
              "1             135  \n",
              "2             162  "
            ]
          },
          "execution_count": 2,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "dataset = pd.read_csv(\"311 Data Exploration.csv\")\n",
        "dataset[:3]"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "93aa0995",
      "metadata": {
        "id": "93aa0995",
        "outputId": "a10875b9-c855-4d74-ce77-a1e82597533d"
      },
      "outputs": [
        {
          "data": {
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              "    .dataframe tbody tr th {\n",
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              "    }\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>caseID</th>\n",
              "      <th>closed</th>\n",
              "      <th>difference_mins</th>\n",
              "      <th>responsible_agency</th>\n",
              "      <th>category</th>\n",
              "      <th>sup_district</th>\n",
              "      <th>neighborhood</th>\n",
              "      <th>source</th>\n",
              "      <th>pop_den</th>\n",
              "      <th>pop</th>\n",
              "      <th>households</th>\n",
              "      <th>median_hInc</th>\n",
              "      <th>percent_pov</th>\n",
              "      <th>eduHS</th>\n",
              "      <th>vehicles</th>\n",
              "      <th>num_business</th>\n",
              "      <th>num_facilities</th>\n",
              "      <th>opened_date</th>\n",
              "      <th>opened_time</th>\n",
              "      <th>month</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>11884029</td>\n",
              "      <td>1/1/2020 9:44</td>\n",
              "      <td>577</td>\n",
              "      <td>Recology_Abandoned</td>\n",
              "      <td>Street and Sidewalk Cleaning</td>\n",
              "      <td>8</td>\n",
              "      <td>Castro</td>\n",
              "      <td>Integrated Agency</td>\n",
              "      <td>36.9</td>\n",
              "      <td>68,200</td>\n",
              "      <td>34,190</td>\n",
              "      <td>$121,250</td>\n",
              "      <td>7%</td>\n",
              "      <td>9%</td>\n",
              "      <td>36,910</td>\n",
              "      <td>19485</td>\n",
              "      <td>64</td>\n",
              "      <td>2020-01-01</td>\n",
              "      <td>0:07</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>11884069</td>\n",
              "      <td>1/1/2020 1:02</td>\n",
              "      <td>20</td>\n",
              "      <td>Parking Enforcement Dispatch Queue</td>\n",
              "      <td>Parking Enforcement</td>\n",
              "      <td>5</td>\n",
              "      <td>Panhandle</td>\n",
              "      <td>Phone</td>\n",
              "      <td>56.0</td>\n",
              "      <td>84,030</td>\n",
              "      <td>40,460</td>\n",
              "      <td>$91,055</td>\n",
              "      <td>13%</td>\n",
              "      <td>14%</td>\n",
              "      <td>33,550</td>\n",
              "      <td>20027</td>\n",
              "      <td>135</td>\n",
              "      <td>2020-01-01</td>\n",
              "      <td>0:42</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>11884079</td>\n",
              "      <td>1/1/2020 7:55</td>\n",
              "      <td>424</td>\n",
              "      <td>Parking Enforcement Dispatch Queue</td>\n",
              "      <td>Parking Enforcement</td>\n",
              "      <td>1</td>\n",
              "      <td>Inner Richmond</td>\n",
              "      <td>Phone</td>\n",
              "      <td>24.5</td>\n",
              "      <td>79,970</td>\n",
              "      <td>32,240</td>\n",
              "      <td>$83,215</td>\n",
              "      <td>11%</td>\n",
              "      <td>22%</td>\n",
              "      <td>38,790</td>\n",
              "      <td>13684</td>\n",
              "      <td>162</td>\n",
              "      <td>2020-01-01</td>\n",
              "      <td>0:51</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>11884088</td>\n",
              "      <td>1/8/2020 8:26</td>\n",
              "      <td>10530</td>\n",
              "      <td>DPW Ops Queue</td>\n",
              "      <td>Street and Sidewalk Cleaning</td>\n",
              "      <td>4</td>\n",
              "      <td>Outer Sunset</td>\n",
              "      <td>Phone</td>\n",
              "      <td>31.0</td>\n",
              "      <td>77,000</td>\n",
              "      <td>26,680</td>\n",
              "      <td>$88,801</td>\n",
              "      <td>10%</td>\n",
              "      <td>28%</td>\n",
              "      <td>41,520</td>\n",
              "      <td>10562</td>\n",
              "      <td>60</td>\n",
              "      <td>2020-01-01</td>\n",
              "      <td>0:56</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>11884100</td>\n",
              "      <td>1/1/2020 6:46</td>\n",
              "      <td>346</td>\n",
              "      <td>Parking Enforcement Dispatch Queue</td>\n",
              "      <td>Parking Enforcement</td>\n",
              "      <td>10</td>\n",
              "      <td>Silver Terrace</td>\n",
              "      <td>Phone</td>\n",
              "      <td>15.2</td>\n",
              "      <td>75,250</td>\n",
              "      <td>23,910</td>\n",
              "      <td>$69,915</td>\n",
              "      <td>16%</td>\n",
              "      <td>42%</td>\n",
              "      <td>34,520</td>\n",
              "      <td>20132</td>\n",
              "      <td>300</td>\n",
              "      <td>2020-01-01</td>\n",
              "      <td>1:00</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>...</th>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>452160</th>\n",
              "      <td>13315585</td>\n",
              "      <td>1/1/2021 7:13</td>\n",
              "      <td>507</td>\n",
              "      <td>Parking Enforcement Dispatch Queue</td>\n",
              "      <td>Parking Enforcement</td>\n",
              "      <td>10</td>\n",
              "      <td>Potrero Hill</td>\n",
              "      <td>Mobile/Open311</td>\n",
              "      <td>15.2</td>\n",
              "      <td>75,250</td>\n",
              "      <td>23,910</td>\n",
              "      <td>$69,915</td>\n",
              "      <td>16%</td>\n",
              "      <td>42%</td>\n",
              "      <td>34,520</td>\n",
              "      <td>20132</td>\n",
              "      <td>300</td>\n",
              "      <td>2020-12-31</td>\n",
              "      <td>22:46</td>\n",
              "      <td>12</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>452161</th>\n",
              "      <td>13315601</td>\n",
              "      <td>1/2/2021 8:40</td>\n",
              "      <td>2016</td>\n",
              "      <td>Recology_Overflowing</td>\n",
              "      <td>Street and Sidewalk Cleaning</td>\n",
              "      <td>6</td>\n",
              "      <td>Rincon Hill</td>\n",
              "      <td>Mobile/Open311</td>\n",
              "      <td>30.5</td>\n",
              "      <td>69,360</td>\n",
              "      <td>37,280</td>\n",
              "      <td>$54,819</td>\n",
              "      <td>23%</td>\n",
              "      <td>29%</td>\n",
              "      <td>18,410</td>\n",
              "      <td>40514</td>\n",
              "      <td>201</td>\n",
              "      <td>2020-12-31</td>\n",
              "      <td>23:04</td>\n",
              "      <td>12</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>452162</th>\n",
              "      <td>13315603</td>\n",
              "      <td>1/25/2021 1:30</td>\n",
              "      <td>34703</td>\n",
              "      <td>RPD TMA Queue</td>\n",
              "      <td>Rec and Park Requests</td>\n",
              "      <td>10</td>\n",
              "      <td>Bayview</td>\n",
              "      <td>Mobile/Open311</td>\n",
              "      <td>15.2</td>\n",
              "      <td>75,250</td>\n",
              "      <td>23,910</td>\n",
              "      <td>$69,915</td>\n",
              "      <td>16%</td>\n",
              "      <td>42%</td>\n",
              "      <td>34,520</td>\n",
              "      <td>20132</td>\n",
              "      <td>300</td>\n",
              "      <td>2020-12-31</td>\n",
              "      <td>23:07</td>\n",
              "      <td>12</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>452163</th>\n",
              "      <td>13315618</td>\n",
              "      <td>1/1/2021 8:57</td>\n",
              "      <td>575</td>\n",
              "      <td>Recology_Abandoned</td>\n",
              "      <td>Street and Sidewalk Cleaning</td>\n",
              "      <td>9</td>\n",
              "      <td>Mission</td>\n",
              "      <td>Mobile/Open311</td>\n",
              "      <td>38.6</td>\n",
              "      <td>86,430</td>\n",
              "      <td>30,580</td>\n",
              "      <td>$83,839</td>\n",
              "      <td>12%</td>\n",
              "      <td>35%</td>\n",
              "      <td>35,380</td>\n",
              "      <td>18107</td>\n",
              "      <td>89</td>\n",
              "      <td>2020-12-31</td>\n",
              "      <td>23:22</td>\n",
              "      <td>12</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>452164</th>\n",
              "      <td>13315627</td>\n",
              "      <td>12/31/2020 23:38</td>\n",
              "      <td>10</td>\n",
              "      <td>Parking Enforcement Dispatch Queue</td>\n",
              "      <td>Parking Enforcement</td>\n",
              "      <td>8</td>\n",
              "      <td>Buena Vista</td>\n",
              "      <td>Phone</td>\n",
              "      <td>36.9</td>\n",
              "      <td>68,200</td>\n",
              "      <td>34,190</td>\n",
              "      <td>$121,250</td>\n",
              "      <td>7%</td>\n",
              "      <td>9%</td>\n",
              "      <td>36,910</td>\n",
              "      <td>19485</td>\n",
              "      <td>64</td>\n",
              "      <td>2020-12-31</td>\n",
              "      <td>23:28</td>\n",
              "      <td>12</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>452165 rows × 20 columns</p>\n",
              "</div>"
            ],
            "text/plain": [
              "          caseID            closed  difference_mins  \\\n",
              "0       11884029     1/1/2020 9:44              577   \n",
              "1       11884069     1/1/2020 1:02               20   \n",
              "2       11884079     1/1/2020 7:55              424   \n",
              "3       11884088     1/8/2020 8:26            10530   \n",
              "4       11884100     1/1/2020 6:46              346   \n",
              "...          ...               ...              ...   \n",
              "452160  13315585     1/1/2021 7:13              507   \n",
              "452161  13315601     1/2/2021 8:40             2016   \n",
              "452162  13315603    1/25/2021 1:30            34703   \n",
              "452163  13315618     1/1/2021 8:57              575   \n",
              "452164  13315627  12/31/2020 23:38               10   \n",
              "\n",
              "                        responsible_agency                      category  \\\n",
              "0                       Recology_Abandoned  Street and Sidewalk Cleaning   \n",
              "1       Parking Enforcement Dispatch Queue           Parking Enforcement   \n",
              "2       Parking Enforcement Dispatch Queue           Parking Enforcement   \n",
              "3                            DPW Ops Queue  Street and Sidewalk Cleaning   \n",
              "4       Parking Enforcement Dispatch Queue           Parking Enforcement   \n",
              "...                                    ...                           ...   \n",
              "452160  Parking Enforcement Dispatch Queue           Parking Enforcement   \n",
              "452161                Recology_Overflowing  Street and Sidewalk Cleaning   \n",
              "452162                       RPD TMA Queue         Rec and Park Requests   \n",
              "452163                  Recology_Abandoned  Street and Sidewalk Cleaning   \n",
              "452164  Parking Enforcement Dispatch Queue           Parking Enforcement   \n",
              "\n",
              "        sup_district    neighborhood             source  pop_den     pop  \\\n",
              "0                  8          Castro  Integrated Agency     36.9  68,200   \n",
              "1                  5       Panhandle              Phone     56.0  84,030   \n",
              "2                  1  Inner Richmond              Phone     24.5  79,970   \n",
              "3                  4    Outer Sunset              Phone     31.0  77,000   \n",
              "4                 10  Silver Terrace              Phone     15.2  75,250   \n",
              "...              ...             ...                ...      ...     ...   \n",
              "452160            10    Potrero Hill     Mobile/Open311     15.2  75,250   \n",
              "452161             6     Rincon Hill     Mobile/Open311     30.5  69,360   \n",
              "452162            10         Bayview     Mobile/Open311     15.2  75,250   \n",
              "452163             9         Mission     Mobile/Open311     38.6  86,430   \n",
              "452164             8     Buena Vista              Phone     36.9  68,200   \n",
              "\n",
              "       households median_hInc percent_pov eduHS vehicles  num_business  \\\n",
              "0          34,190   $121,250           7%    9%   36,910         19485   \n",
              "1          40,460    $91,055          13%   14%   33,550         20027   \n",
              "2          32,240    $83,215          11%   22%   38,790         13684   \n",
              "3          26,680    $88,801          10%   28%   41,520         10562   \n",
              "4          23,910    $69,915          16%   42%   34,520         20132   \n",
              "...           ...         ...         ...   ...      ...           ...   \n",
              "452160     23,910    $69,915          16%   42%   34,520         20132   \n",
              "452161     37,280    $54,819          23%   29%   18,410         40514   \n",
              "452162     23,910    $69,915          16%   42%   34,520         20132   \n",
              "452163     30,580    $83,839          12%   35%   35,380         18107   \n",
              "452164     34,190   $121,250           7%    9%   36,910         19485   \n",
              "\n",
              "        num_facilities opened_date opened_time  month  \n",
              "0                   64  2020-01-01        0:07      1  \n",
              "1                  135  2020-01-01        0:42      1  \n",
              "2                  162  2020-01-01        0:51      1  \n",
              "3                   60  2020-01-01        0:56      1  \n",
              "4                  300  2020-01-01        1:00      1  \n",
              "...                ...         ...         ...    ...  \n",
              "452160             300  2020-12-31       22:46     12  \n",
              "452161             201  2020-12-31       23:04     12  \n",
              "452162             300  2020-12-31       23:07     12  \n",
              "452163              89  2020-12-31       23:22     12  \n",
              "452164              64  2020-12-31       23:28     12  \n",
              "\n",
              "[452165 rows x 20 columns]"
            ]
          },
          "execution_count": 3,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# split out opened time from opened date - may have useful information\n",
        "dataset[['opened_date','opened_time']] = dataset.opened.str.split(\" \", expand=True)\n",
        "\n",
        "# remove \"opened\", \"difference\", \"difference_mins\"\n",
        "dataset = dataset.drop(columns= [\"opened\"])\n",
        "dataset['opened_date'] = dataset['opened_date'].map(pd.Timestamp)\n",
        "\n",
        "# get month to examine seasonality\n",
        "dataset[\"month\"] = dataset['opened_date'].map(lambda dm: dm.month)\n",
        "dataset"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "35424d88",
      "metadata": {
        "id": "35424d88",
        "outputId": "45078e46-1b70-4224-e1b5-d18a56aa350b"
      },
      "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>caseID</th>\n",
              "      <th>closed</th>\n",
              "      <th>difference_mins</th>\n",
              "      <th>responsible_agency</th>\n",
              "      <th>category</th>\n",
              "      <th>sup_district</th>\n",
              "      <th>neighborhood</th>\n",
              "      <th>source</th>\n",
              "      <th>pop_den</th>\n",
              "      <th>pop</th>\n",
              "      <th>...</th>\n",
              "      <th>median_hInc</th>\n",
              "      <th>percent_pov</th>\n",
              "      <th>eduHS</th>\n",
              "      <th>vehicles</th>\n",
              "      <th>num_business</th>\n",
              "      <th>num_facilities</th>\n",
              "      <th>opened_date</th>\n",
              "      <th>opened_time</th>\n",
              "      <th>month</th>\n",
              "      <th>AM/PM</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>11884029</td>\n",
              "      <td>1/1/2020 9:44</td>\n",
              "      <td>577</td>\n",
              "      <td>Recology_Abandoned</td>\n",
              "      <td>Street and Sidewalk Cleaning</td>\n",
              "      <td>8</td>\n",
              "      <td>Castro</td>\n",
              "      <td>Integrated Agency</td>\n",
              "      <td>36.9</td>\n",
              "      <td>68,200</td>\n",
              "      <td>...</td>\n",
              "      <td>$121,250</td>\n",
              "      <td>7%</td>\n",
              "      <td>9%</td>\n",
              "      <td>36,910</td>\n",
              "      <td>19485</td>\n",
              "      <td>64</td>\n",
              "      <td>2020-01-01</td>\n",
              "      <td>0:07</td>\n",
              "      <td>1</td>\n",
              "      <td>AM</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>11884069</td>\n",
              "      <td>1/1/2020 1:02</td>\n",
              "      <td>20</td>\n",
              "      <td>Parking Enforcement Dispatch Queue</td>\n",
              "      <td>Parking Enforcement</td>\n",
              "      <td>5</td>\n",
              "      <td>Panhandle</td>\n",
              "      <td>Phone</td>\n",
              "      <td>56.0</td>\n",
              "      <td>84,030</td>\n",
              "      <td>...</td>\n",
              "      <td>$91,055</td>\n",
              "      <td>13%</td>\n",
              "      <td>14%</td>\n",
              "      <td>33,550</td>\n",
              "      <td>20027</td>\n",
              "      <td>135</td>\n",
              "      <td>2020-01-01</td>\n",
              "      <td>0:42</td>\n",
              "      <td>1</td>\n",
              "      <td>AM</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>11884079</td>\n",
              "      <td>1/1/2020 7:55</td>\n",
              "      <td>424</td>\n",
              "      <td>Parking Enforcement Dispatch Queue</td>\n",
              "      <td>Parking Enforcement</td>\n",
              "      <td>1</td>\n",
              "      <td>Inner Richmond</td>\n",
              "      <td>Phone</td>\n",
              "      <td>24.5</td>\n",
              "      <td>79,970</td>\n",
              "      <td>...</td>\n",
              "      <td>$83,215</td>\n",
              "      <td>11%</td>\n",
              "      <td>22%</td>\n",
              "      <td>38,790</td>\n",
              "      <td>13684</td>\n",
              "      <td>162</td>\n",
              "      <td>2020-01-01</td>\n",
              "      <td>0:51</td>\n",
              "      <td>1</td>\n",
              "      <td>AM</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>11884088</td>\n",
              "      <td>1/8/2020 8:26</td>\n",
              "      <td>10530</td>\n",
              "      <td>DPW Ops Queue</td>\n",
              "      <td>Street and Sidewalk Cleaning</td>\n",
              "      <td>4</td>\n",
              "      <td>Outer Sunset</td>\n",
              "      <td>Phone</td>\n",
              "      <td>31.0</td>\n",
              "      <td>77,000</td>\n",
              "      <td>...</td>\n",
              "      <td>$88,801</td>\n",
              "      <td>10%</td>\n",
              "      <td>28%</td>\n",
              "      <td>41,520</td>\n",
              "      <td>10562</td>\n",
              "      <td>60</td>\n",
              "      <td>2020-01-01</td>\n",
              "      <td>0:56</td>\n",
              "      <td>1</td>\n",
              "      <td>AM</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>11884100</td>\n",
              "      <td>1/1/2020 6:46</td>\n",
              "      <td>346</td>\n",
              "      <td>Parking Enforcement Dispatch Queue</td>\n",
              "      <td>Parking Enforcement</td>\n",
              "      <td>10</td>\n",
              "      <td>Silver Terrace</td>\n",
              "      <td>Phone</td>\n",
              "      <td>15.2</td>\n",
              "      <td>75,250</td>\n",
              "      <td>...</td>\n",
              "      <td>$69,915</td>\n",
              "      <td>16%</td>\n",
              "      <td>42%</td>\n",
              "      <td>34,520</td>\n",
              "      <td>20132</td>\n",
              "      <td>300</td>\n",
              "      <td>2020-01-01</td>\n",
              "      <td>1:00</td>\n",
              "      <td>1</td>\n",
              "      <td>AM</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>...</th>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>452160</th>\n",
              "      <td>13315585</td>\n",
              "      <td>1/1/2021 7:13</td>\n",
              "      <td>507</td>\n",
              "      <td>Parking Enforcement Dispatch Queue</td>\n",
              "      <td>Parking Enforcement</td>\n",
              "      <td>10</td>\n",
              "      <td>Potrero Hill</td>\n",
              "      <td>Mobile/Open311</td>\n",
              "      <td>15.2</td>\n",
              "      <td>75,250</td>\n",
              "      <td>...</td>\n",
              "      <td>$69,915</td>\n",
              "      <td>16%</td>\n",
              "      <td>42%</td>\n",
              "      <td>34,520</td>\n",
              "      <td>20132</td>\n",
              "      <td>300</td>\n",
              "      <td>2020-12-31</td>\n",
              "      <td>22:46</td>\n",
              "      <td>12</td>\n",
              "      <td>PM</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>452161</th>\n",
              "      <td>13315601</td>\n",
              "      <td>1/2/2021 8:40</td>\n",
              "      <td>2016</td>\n",
              "      <td>Recology_Overflowing</td>\n",
              "      <td>Street and Sidewalk Cleaning</td>\n",
              "      <td>6</td>\n",
              "      <td>Rincon Hill</td>\n",
              "      <td>Mobile/Open311</td>\n",
              "      <td>30.5</td>\n",
              "      <td>69,360</td>\n",
              "      <td>...</td>\n",
              "      <td>$54,819</td>\n",
              "      <td>23%</td>\n",
              "      <td>29%</td>\n",
              "      <td>18,410</td>\n",
              "      <td>40514</td>\n",
              "      <td>201</td>\n",
              "      <td>2020-12-31</td>\n",
              "      <td>23:04</td>\n",
              "      <td>12</td>\n",
              "      <td>PM</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>452162</th>\n",
              "      <td>13315603</td>\n",
              "      <td>1/25/2021 1:30</td>\n",
              "      <td>34703</td>\n",
              "      <td>RPD TMA Queue</td>\n",
              "      <td>Rec and Park Requests</td>\n",
              "      <td>10</td>\n",
              "      <td>Bayview</td>\n",
              "      <td>Mobile/Open311</td>\n",
              "      <td>15.2</td>\n",
              "      <td>75,250</td>\n",
              "      <td>...</td>\n",
              "      <td>$69,915</td>\n",
              "      <td>16%</td>\n",
              "      <td>42%</td>\n",
              "      <td>34,520</td>\n",
              "      <td>20132</td>\n",
              "      <td>300</td>\n",
              "      <td>2020-12-31</td>\n",
              "      <td>23:07</td>\n",
              "      <td>12</td>\n",
              "      <td>PM</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>452163</th>\n",
              "      <td>13315618</td>\n",
              "      <td>1/1/2021 8:57</td>\n",
              "      <td>575</td>\n",
              "      <td>Recology_Abandoned</td>\n",
              "      <td>Street and Sidewalk Cleaning</td>\n",
              "      <td>9</td>\n",
              "      <td>Mission</td>\n",
              "      <td>Mobile/Open311</td>\n",
              "      <td>38.6</td>\n",
              "      <td>86,430</td>\n",
              "      <td>...</td>\n",
              "      <td>$83,839</td>\n",
              "      <td>12%</td>\n",
              "      <td>35%</td>\n",
              "      <td>35,380</td>\n",
              "      <td>18107</td>\n",
              "      <td>89</td>\n",
              "      <td>2020-12-31</td>\n",
              "      <td>23:22</td>\n",
              "      <td>12</td>\n",
              "      <td>PM</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>452164</th>\n",
              "      <td>13315627</td>\n",
              "      <td>12/31/2020 23:38</td>\n",
              "      <td>10</td>\n",
              "      <td>Parking Enforcement Dispatch Queue</td>\n",
              "      <td>Parking Enforcement</td>\n",
              "      <td>8</td>\n",
              "      <td>Buena Vista</td>\n",
              "      <td>Phone</td>\n",
              "      <td>36.9</td>\n",
              "      <td>68,200</td>\n",
              "      <td>...</td>\n",
              "      <td>$121,250</td>\n",
              "      <td>7%</td>\n",
              "      <td>9%</td>\n",
              "      <td>36,910</td>\n",
              "      <td>19485</td>\n",
              "      <td>64</td>\n",
              "      <td>2020-12-31</td>\n",
              "      <td>23:28</td>\n",
              "      <td>12</td>\n",
              "      <td>PM</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>452165 rows × 21 columns</p>\n",
              "</div>"
            ],
            "text/plain": [
              "          caseID            closed  difference_mins  \\\n",
              "0       11884029     1/1/2020 9:44              577   \n",
              "1       11884069     1/1/2020 1:02               20   \n",
              "2       11884079     1/1/2020 7:55              424   \n",
              "3       11884088     1/8/2020 8:26            10530   \n",
              "4       11884100     1/1/2020 6:46              346   \n",
              "...          ...               ...              ...   \n",
              "452160  13315585     1/1/2021 7:13              507   \n",
              "452161  13315601     1/2/2021 8:40             2016   \n",
              "452162  13315603    1/25/2021 1:30            34703   \n",
              "452163  13315618     1/1/2021 8:57              575   \n",
              "452164  13315627  12/31/2020 23:38               10   \n",
              "\n",
              "                        responsible_agency                      category  \\\n",
              "0                       Recology_Abandoned  Street and Sidewalk Cleaning   \n",
              "1       Parking Enforcement Dispatch Queue           Parking Enforcement   \n",
              "2       Parking Enforcement Dispatch Queue           Parking Enforcement   \n",
              "3                            DPW Ops Queue  Street and Sidewalk Cleaning   \n",
              "4       Parking Enforcement Dispatch Queue           Parking Enforcement   \n",
              "...                                    ...                           ...   \n",
              "452160  Parking Enforcement Dispatch Queue           Parking Enforcement   \n",
              "452161                Recology_Overflowing  Street and Sidewalk Cleaning   \n",
              "452162                       RPD TMA Queue         Rec and Park Requests   \n",
              "452163                  Recology_Abandoned  Street and Sidewalk Cleaning   \n",
              "452164  Parking Enforcement Dispatch Queue           Parking Enforcement   \n",
              "\n",
              "        sup_district    neighborhood             source  pop_den     pop  ...  \\\n",
              "0                  8          Castro  Integrated Agency     36.9  68,200  ...   \n",
              "1                  5       Panhandle              Phone     56.0  84,030  ...   \n",
              "2                  1  Inner Richmond              Phone     24.5  79,970  ...   \n",
              "3                  4    Outer Sunset              Phone     31.0  77,000  ...   \n",
              "4                 10  Silver Terrace              Phone     15.2  75,250  ...   \n",
              "...              ...             ...                ...      ...     ...  ...   \n",
              "452160            10    Potrero Hill     Mobile/Open311     15.2  75,250  ...   \n",
              "452161             6     Rincon Hill     Mobile/Open311     30.5  69,360  ...   \n",
              "452162            10         Bayview     Mobile/Open311     15.2  75,250  ...   \n",
              "452163             9         Mission     Mobile/Open311     38.6  86,430  ...   \n",
              "452164             8     Buena Vista              Phone     36.9  68,200  ...   \n",
              "\n",
              "       median_hInc percent_pov eduHS vehicles num_business  num_facilities  \\\n",
              "0        $121,250           7%    9%   36,910        19485              64   \n",
              "1         $91,055          13%   14%   33,550        20027             135   \n",
              "2         $83,215          11%   22%   38,790        13684             162   \n",
              "3         $88,801          10%   28%   41,520        10562              60   \n",
              "4         $69,915          16%   42%   34,520        20132             300   \n",
              "...            ...         ...   ...      ...          ...             ...   \n",
              "452160    $69,915          16%   42%   34,520        20132             300   \n",
              "452161    $54,819          23%   29%   18,410        40514             201   \n",
              "452162    $69,915          16%   42%   34,520        20132             300   \n",
              "452163    $83,839          12%   35%   35,380        18107              89   \n",
              "452164   $121,250           7%    9%   36,910        19485              64   \n",
              "\n",
              "        opened_date opened_time month  AM/PM  \n",
              "0        2020-01-01        0:07     1     AM  \n",
              "1        2020-01-01        0:42     1     AM  \n",
              "2        2020-01-01        0:51     1     AM  \n",
              "3        2020-01-01        0:56     1     AM  \n",
              "4        2020-01-01        1:00     1     AM  \n",
              "...             ...         ...   ...    ...  \n",
              "452160   2020-12-31       22:46    12     PM  \n",
              "452161   2020-12-31       23:04    12     PM  \n",
              "452162   2020-12-31       23:07    12     PM  \n",
              "452163   2020-12-31       23:22    12     PM  \n",
              "452164   2020-12-31       23:28    12     PM  \n",
              "\n",
              "[452165 rows x 21 columns]"
            ]
          },
          "execution_count": 4,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# create an AM/PM column - might be helpful\n",
        "PM = []\n",
        "for i in range(12,24):\n",
        "    t = str(i)\n",
        "    PM.append(t)\n",
        "for t in PM:\n",
        "    dataset[\"AM/PM\"] = dataset[\"opened_time\"].map(lambda x: \"PM\" if x[:2] in PM else \"AM\")\n",
        "dataset"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "69e5c0a6",
      "metadata": {
        "id": "69e5c0a6"
      },
      "outputs": [],
      "source": [
        "dataset.to_csv('311 Dataset.csv')"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "bac53598",
      "metadata": {
        "id": "bac53598",
        "outputId": "eb1e6aa2-0dfa-450b-f78f-e1802ef717b0"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<AxesSubplot:>"
            ]
          },
          "execution_count": 6,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "dataset['AM/PM'].hist()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "bd3fffa2",
      "metadata": {
        "id": "bd3fffa2",
        "outputId": "7e1c0bfc-eba8-45d3-ec37-9739c7fcb485"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<AxesSubplot:>"
            ]
          },
          "execution_count": 7,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "dataset[\"month\"].hist()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "dac9a24d",
      "metadata": {
        "scrolled": true,
        "id": "dac9a24d",
        "outputId": "6426f7e1-23d1-4d06-f74c-95365db4bab3"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "1 41384\n",
            "2 38440\n",
            "3 32958\n",
            "4 26620\n",
            "5 32975\n",
            "6 36585\n",
            "7 39708\n",
            "8 42962\n",
            "9 42382\n",
            "10 41930\n",
            "11 37608\n",
            "12 38613\n"
          ]
        }
      ],
      "source": [
        "for i in range(1,13):\n",
        "    count = len(dataset[dataset[\"month\"] == i])\n",
        "    print(i, count)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "4b457faf",
      "metadata": {
        "id": "4b457faf",
        "outputId": "f29e933e-5011-4d70-d7f4-861157998d89"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "Text(0.0, 1.0, 'Most Cases Resolved Within 10,000 mins\\nNumber of Cases Resolved per 10,000 mins')"
            ]
          },
          "execution_count": 9,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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R5jGzTujXgSIifkealO6UTmRf2emT356rKSKWkI50Nid9ke2uFafNPor0oy3vyNvA5sCCWD67KjSfvrsRT3me9OmU51mj9WufkdJ+Qvkz0p6VnT68K1ORd8dU5R2dphyaTOUeEXeT5gu7BHhe6TfJ6+tlHdSvA0V2GunIsPolURv4fVclrfrF3Rlb1J4o/aLXMNIEfXNIv962UeWxXkScWMlbmkflOWCY0uypNQ2n727CU54nq8KU543Wr31Gmu5nrartlF2ystOHd2Uq8hXy5s/KVoVt9ZiIuCgidiP9Qt82pAk0rRP6faCIiFmkU0dfqqT9ifSlcbTSdN2foetXAB0kaZ88SdtZpNlK55B6NNtIOkbSmvnxl0q/y9yR+s8hDfT9q9LU0+8jHeVf28F6ecrzVWfK883y+mtKOpx03vxn7e1nR+T6rUMaOyG/H2tDx6YPV/q979b8sitTkf+EdMrxk7k+3yL9NOvjHd2X7pD/x3aXtCbpwLB20Yd1Qr8PFNmZpEHCqs+RjjBeJB1x/LqL27iO1HtZQDp1chRAPjrdn3S++TlSV/k80jhARx1JGoB/jvSPeFoeE2hXeMrzVWnK8ynAaNJg/TmksZjajw+V9rMjtiSdpqkdub9KGgOpaTp9eA62S0hXxxFdmIo8H4R9Mu/fQtKFANWxlt6yASnQLyTV/0XgP/qgHv2CZ4816wWSjiNdabVPX9elnqSjSVelndrXdbFVU6Mbd8xsAImIa/q6DrZqGyinnszMrJN86snMzIrcozAzs6J+N0axySabxKhRozqd/5VXXmHddft8UtU+5TZI3A5ug5qB0A4PPvjgCxHRcBaLfhcoRo0axbRp0zqdv62tjdbW1u6r0GrIbZC4HdwGNQOhHSQ1nVnAp57MzKzIgcLMzIocKMzMrMiBwszMihwozMysyIHCzMyKHCjMzKzIgcLMzIocKMzMrKjf3ZndVdOfXcRxp9ze69udfe7Hen2bZmYd4R6FmZkVOVCYmVmRA4WZmRU5UJiZWZEDhZmZFTlQmJlZkQOFmZkVOVCYmVmRA4WZmRU5UJiZWZEDhZmZFTlQmJlZkQOFmZkVOVCYmVlRhwOFpEGS/k/Sbfn1MEmTJc3Mf4dW1j1V0ixJT0g6oJK+m6TpedlFkpTT15Z0Q06fImlUJc+EvI2ZkiZ0y16bmVmHrUyP4svAY5XXpwB3RcRo4K78GknbA+OBHYADge9KGpTzXAqcAIzOjwNz+vHAwojYGrgAOC+XNQw4DdgdGAucVg1IZmbW8zoUKCSNBD4GfL+SfAgwKT+fBBxaSb8+Il6PiKeAWcBYScOBDSLi/ogI4Kq6PLWybgLG5d7GAcDkiFgQEQuBySwPLmZm1gs62qP4DvB14K1KWktEzAPIfzfL6SOAOZX15ua0Efl5ffoKeSJiGbAI2LhQlpmZ9ZJ2fwpV0sHA/Ih4UFJrB8pUg7QopHc2T7WOJ5BOadHS0kJbW1sHqtlYyxA4eadlnc7fWV2pc3dbsmTJKlWfvuJ2cBvUDPR26MhvZu8NfFzSQcA6wAaSrgGelzQ8Iubl00rz8/pzgS0q+UcCz+X0kQ3Sq3nmShoMbAgsyOmtdXna6isYEZcDlwOMGTMmWltb61fpsIuvvYXzp/f+T4nPPqq117fZTFtbG11pw/7C7eA2qBno7dDuqaeIODUiRkbEKNIg9d0RcTRwK1C7CmkCcEt+fiswPl/J9G7SoPUD+fTUYkl75PGHY+vy1Mo6LG8jgDuB/SUNzYPY++c0MzPrJV05dD4XuFHS8cAzwOEAETFD0o3Ao8Ay4KSIeDPnORG4EhgC3JEfAFcAV0uaRepJjM9lLZB0FjA1r3dmRCzoQp3NzGwlrVSgiIg28qmfiHgRGNdkvXOAcxqkTwN2bJD+GjnQNFg2EZi4MvU0M7Pu4zuzzcysyIHCzMyKHCjMzKzIgcLMzIocKMzMrMiBwszMihwozMysyIHCzMyKHCjMzKzIgcLMzIocKMzMrMiBwszMihwozMysyIHCzMyKHCjMzKzIgcLMzIocKMzMrMiBwszMihwozMysyIHCzMyKHCjMzKzIgcLMzIocKMzMrMiBwszMihwozMysyIHCzMyKHCjMzKzIgcLMzIocKMzMrMiBwszMihwozMysyIHCzMyKHCjMzKzIgcLMzIocKMzMrMiBwszMihwozMysyIHCzMyK2g0UktaR9ICkhyXNkHRGTh8mabKkmfnv0EqeUyXNkvSEpAMq6btJmp6XXSRJOX1tSTfk9CmSRlXyTMjbmClpQrfuvZmZtasjPYrXgQ9HxPuBnYEDJe0BnALcFRGjgbvyayRtD4wHdgAOBL4raVAu61LgBGB0fhyY048HFkbE1sAFwHm5rGHAacDuwFjgtGpAMjOzntduoIhkSX65Zn4EcAgwKadPAg7Nzw8Bro+I1yPiKWAWMFbScGCDiLg/IgK4qi5PraybgHG5t3EAMDkiFkTEQmAyy4OLmZn1gg6NUUgaJOkhYD7pi3sK0BIR8wDy383y6iOAOZXsc3PaiPy8Pn2FPBGxDFgEbFwoy8zMesngjqwUEW8CO0vaCPiJpB0Lq6tREYX0zuZZvkHpBNIpLVpaWmhraytUr6xlCJy807JO5++srtS5uy1ZsmSVqk9fcTu4DWoGejt0KFDURMRLktpIp3+elzQ8Iubl00rz82pzgS0q2UYCz+X0kQ3Sq3nmShoMbAgsyOmtdXnaGtTrcuBygDFjxkRra2v9Kh128bW3cP70lWqWbjH7qNZe32YzbW1tdKUN+wu3g9ugZqC3Q0eueto09ySQNATYD3gcuBWoXYU0AbglP78VGJ+vZHo3adD6gXx6arGkPfL4w7F1eWplHQbcnccx7gT2lzQ0D2Lvn9PMzKyXdOTQeTgwKV+5tAZwY0TcJul+4EZJxwPPAIcDRMQMSTcCjwLLgJPyqSuAE4ErgSHAHfkBcAVwtaRZpJ7E+FzWAklnAVPzemdGxIKu7LCZma2cdgNFRDwC7NIg/UVgXJM85wDnNEifBrxjfCMiXiMHmgbLJgIT26unmZn1DN+ZbWZmRQ4UZmZW5EBhZmZFDhRmZlbkQGFmZkUOFGZmVuRAYWZmRQ4UZmZW5EBhZmZFDhRmZlbkQGFmZkUOFGZmVuRAYWZmRQ4UZmZW5EBhZmZFDhRmZlbkQGFmZkUOFGZmVuRAYWZmRQ4UZmZW5EBhZmZFDhRmZlbkQGFmZkUOFGZmVuRAYWZmRQ4UZmZW5EBhZmZFDhRmZlbkQGFmZkUOFGZmVuRAYWZmRQ4UZmZW5EBhZmZFDhRmZlbkQGFmZkUOFGZmVuRAYWZmRQ4UZmZW5EBhZmZF7QYKSVtI+qWkxyTNkPTlnD5M0mRJM/PfoZU8p0qaJekJSQdU0neTND0vu0iScvrakm7I6VMkjarkmZC3MVPShG7dezMza1dHehTLgJMjYjtgD+AkSdsDpwB3RcRo4K78mrxsPLADcCDwXUmDclmXAicAo/PjwJx+PLAwIrYGLgDOy2UNA04DdgfGAqdVA5KZmfW8dgNFRMyLiN/m54uBx4ARwCHApLzaJODQ/PwQ4PqIeD0ingJmAWMlDQc2iIj7IyKAq+ry1Mq6CRiXexsHAJMjYkFELAQmszy4mJlZLxi8MivnU0K7AFOAloiYBymYSNosrzYC+E0l29yctjQ/r0+v5ZmTy1omaRGwcTW9QZ5qvU4g9VRoaWmhra1tZXZrBS1D4OSdlnU6f2d1pc7dbcmSJatUffqK28FtUDPQ26HDgULSesCPga9ExMt5eKHhqg3SopDe2TzLEyIuBy4HGDNmTLS2tjarW7suvvYWzp++UvGzW8w+qrXXt9lMW1sbXWnD/sLt4DaoGejt0KGrniStSQoS10bEzTn5+Xw6ifx3fk6fC2xRyT4SeC6nj2yQvkIeSYOBDYEFhbLMzKyXdOSqJwFXAI9FxLcri24FalchTQBuqaSPz1cyvZs0aP1APk21WNIeucxj6/LUyjoMuDuPY9wJ7C9paB7E3j+nmZlZL+nIOZa9gWOA6ZIeymn/BJwL3CjpeOAZ4HCAiJgh6UbgUdIVUydFxJs534nAlcAQ4I78gBSIrpY0i9STGJ/LWiDpLGBqXu/MiFjQuV01M7POaDdQRMR9NB4rABjXJM85wDkN0qcBOzZIf40caBosmwhMbK+eZmbWM3xntpmZFTlQmJlZkQOFmZkVOVCYmVmRA4WZmRU5UJiZWZEDhZmZFTlQmJlZkQOFmZkVOVCYmVmRA4WZmRU5UJiZWZEDhZmZFTlQmJlZkQOFmZkVOVCYmVmRA4WZmRU5UJiZWZEDhZmZFTlQmJlZkQOFmZkVOVCYmVmRA4WZmRU5UJiZWZEDhZmZFTlQmJlZkQOFmZkVOVCYmVmRA4WZmRU5UJiZWZEDhZmZFTlQmJlZkQOFmZkVOVCYmVmRA4WZmRU5UJiZWZEDhZmZFTlQmJlZUbuBQtJESfMl/a6SNkzSZEkz89+hlWWnSpol6QlJB1TSd5M0PS+7SJJy+tqSbsjpUySNquSZkLcxU9KEbttrMzPrsI70KK4EDqxLOwW4KyJGA3fl10jaHhgP7JDzfFfSoJznUuAEYHR+1Mo8HlgYEVsDFwDn5bKGAacBuwNjgdOqAcnMzHpHu4EiIu4FFtQlHwJMys8nAYdW0q+PiNcj4ilgFjBW0nBgg4i4PyICuKouT62sm4BxubdxADA5IhZExEJgMu8MWGZm1sMGdzJfS0TMA4iIeZI2y+kjgN9U1pub05bm5/XptTxzclnLJC0CNq6mN8izAkknkHortLS00NbW1sndgpYhcPJOyzqdv7O6UufutmTJklWqPn3F7eA2qBno7dDZQNGMGqRFIb2zeVZMjLgcuBxgzJgx0dra2m5Fm7n42ls4f3p3N0v7Zh/V2uvbbKatrY2utGF/4XZwG9QM9Hbo7FVPz+fTSeS/83P6XGCLynojgedy+sgG6SvkkTQY2JB0qqtZWWZm1os6GyhuBWpXIU0Abqmkj89XMr2bNGj9QD5NtVjSHnn84di6PLWyDgPuzuMYdwL7SxqaB7H3z2lmZtaL2j3HIumHQCuwiaS5pCuRzgVulHQ88AxwOEBEzJB0I/AosAw4KSLezEWdSLqCaghwR34AXAFcLWkWqScxPpe1QNJZwNS83pkRUT+obmZmPazdQBERRzZZNK7J+ucA5zRInwbs2CD9NXKgabBsIjCxvTqamVnP8Z3ZZmZW5EBhZmZFDhRmZlbkQGFmZkUOFGZmVuRAYWZmRQ4UZmZW5EBhZmZFDhRmZlbkQGFmZkUOFGZmVuRAYWZmRQ4UZmZW5EBhZmZFDhRmZlbkQGFmZkUOFGZmVuRAYWZmRQ4UZmZW5EBhZmZFDhRmZlbkQGFmZkUOFGZmVuRAYWZmRQ4UZmZW5EBhZmZFDhRmZlbkQGFmZkUOFGZmVuRAYWZmRQ4UZmZW5EBhZmZFDhRmZlbkQGFmZkUOFGZmVuRAYWZmRQ4UZmZW5EBhZmZFg/u6Ah0h6UDgQmAQ8P2IOLePq9TtRp1ye59te/a5H+uzbZvZqm+V71FIGgRcAnwU2B44UtL2fVsrM7OBY3XoUYwFZkXEkwCSrgcOAR7t01r1I/W9mZN3WsZxfdjDWVX0RDu492aro9UhUIwA5lRezwV2r64g6QTghPxyiaQnurC9TYAXupB/tfcltwHQM+2g87qztF7hz0IyENphy2YLVodAoQZpscKLiMuBy7tlY9K0iBjTHWWtrtwGidvBbVAz0NthlR+jIPUgtqi8Hgk810d1MTMbcFaHQDEVGC3p3ZLWAsYDt/ZxnczMBoxV/tRTRCyT9HfAnaTLYydGxIwe3GS3nMJazbkNEreD26BmQLeDIqL9tczMbMBaHU49mZlZH3KgMDOzIgeKTNKBkp6QNEvSKX1dn86QtIWkX0p6TNIMSV/O6cMkTZY0M/8dWslzat7nJyQdUEnfTdL0vOwiScrpa0u6IadPkTSqkmdC3sZMSRN6cdffQdIgSf8n6bb8eiC2wUaSbpL0eP5M7DnQ2kHSV/P/wu8k/VDSOgOtDbpFRAz4B2mQ/A/Ae4C1gIeB7fu6Xp3Yj+HArvn5+sDvSdOe/BtwSk4/BTgvP98+7+vawLtzGwzKyx4A9iTdx3IH8NGc/gXge/n5eOCG/HwY8GT+OzQ/H9qHbfH3wHXAbfn1QGyDScBn8/O1gI0GUjuQbtZ9ChiSX98IHDeQ2qDb2rKvK7AqPPIH4M7K61OBU/u6Xt2wX7cAHwGeAIbntOHAE432k3Rl2Z55nccr6UcCl1XXyc8Hk+5WVXWdvOwy4Mg+2u+RwF3Ah1keKAZaG2yQvyRVlz5g2oHlszoMy/W7Ddh/ILVBdz186ilpNE3IiD6qS7fIXeBdgClAS0TMA8h/N8urNdvvEfl5ffoKeSJiGbAI2LhQVl/4DvB14K1K2kBrg/cAfwJ+kE/BfV/SugygdoiIZ4H/AJ4B5gGLIuLnDKA26C4OFEm704SsTiStB/wY+EpEvFxatUFaFNI7m6fXSDoYmB8RD3Y0S4O01boNssHArsClEbEL8ArpNEsz/a4d8tjDIaTTSJsD60o6upSlQdpq3QbdxYEi6TfThEhakxQkro2Im3Py85KG5+XDgfk5vdl+z83P69NXyCNpMLAhsKBQVm/bG/i4pNnA9cCHJV3DwGoDcl3mRsSU/PomUuAYSO2wH/BURPwpIpYCNwN7MbDaoHv09bmvVeFBOvp6knTkURvM3qGv69WJ/RBwFfCduvR/Z8XBu3/Lz3dgxcG7J1k+eDcV2IPlg3cH5fSTWHHw7sb8fBjpnPjQ/HgKGNbH7dHK8jGKAdcGwK+A9+bnp+c2GDDtQJplegbwrlz3ScAXB1IbdFtb9nUFVpUHcBDpKqE/AN/o6/p0ch/2IXVvHwEeyo+DSOdM7wJm5r/DKnm+kff5CfKVHDl9DPC7vOw/WX4X/zrAj4BZpCtB3lPJ85mcPgv4m1WgPVpZHigGXBsAOwPT8ufhp/kLa0C1A3AG8Hiu/9WkIDCg2qA7Hp7Cw8zMijxGYWZmRQ4UZmZW5EBhZmZFDhRmZlbkQGFmZkUOFNYjJP2FpOsl/UHSo5J+JmmbHtrW6ZKelfRQ3taR3Vx+m6Qx7axzqKTtK6/PlLRfF7d7QN6nhyQtyTOaPiTpKkmfl3RsV8ovbPcmSe9ZifXHSLqok9u6XtLozuS13rPK/xSqrX7yFMw/ASZFxPictjPQQrpXpSdcEBH/kb90HpR0U6S7cXvLoaRJ5x4FiIhvdbXAiLiTNOkcktqAr0XEtK6WWyJpB9JNZk92NE+uU2frdSlpXq7PdTK/9QL3KKwnfAhYGhHfqyVExEMR8StJ60m6S9Jv8/z+hwBIWlfS7ZIezr8dcERO303SPZIelHRnbeqFZiJiJvBn0s1lSPoHSVMlPSLpjHa2NS5PoDdd0kRJa9eXL2lJ5flhkq6UtBfwceDf8xH/Vjn9sFK5kmZLOqPSFtt2tIFzL+pr+XmbpAsk3av0uxN/Kenm/DsIZ1fyHC3pgVzHyyQNalD0UaRZh9/eX0nn5fb/haSxeXtPSvp4XqdVy3/34/S8j7V1vlRqc9Ld4/vl6S9sFeVAYT1hR6DZpHyvAZ+IiF1JAeX83AM5EHguIt4fETsC/6M0b9XFwGERsRswETintGFJuwIzI2K+pP2B0cBY0l3Ku0nat8m21gGuBI6IiJ1Ive0TO7KzEfFr4FbgHyJi54j4Q6U+7ZX7Qm6LS4GvdWR7TbwREfsC3yN90Z9Eeh+Ok7SxpO2AI4C9I2Jn4E1SUKi3Nyu+d+sCbbn9FwNnk6au/wRwZpO6bAscQGr30/L7+I42B4iIt0h3Lr+/sztuPc+BwnqbgH+R9AjwC9LUyy3AdNKR5XmSPhARi4D3kr7sJkt6CPgmK07OVvVVSU+QplU/Paftnx//B/yW9AU2urCtpyKidmpsErBvN+xve+XWJm58EBjVhe3cmv9OB2ZExLyIeJ00X9EWwDhgN2BqbstxpKnI6w0nTU9e8wb5Sz2XfU8+pTe9UN/bI+L1iHiBNOFes/e3Zj5pdldbRbm7Zz1hBnBYk2VHAZsCu0XEUqVZXteJiN9L2o00N9W/Svo5aZxjRkTs2YFt1sYo/hq4StJWpKD0rxFxWf3KDbZ1a/06TVTnvFmnA+s3mm666vX890269v9YK+etyvPa68G5HpMi4tR2ynmVFfdraSyf5+ftsiPircLpour23wQGN3p/I6LWI1knb9dWUe5RWE+4G1hb0tsDlPm8+QdJ0zDPz0HiQ8CWefnmwJ8j4hrSj83sSpqYbVNJe+Z11syDrU1Fmlp9GjCBNBD8GaXf50DSCEmbNdnW48AoSVvnoo4B7mmwieclbSdpDdLpl5rFpJ+frdfRcnvaXcBhkjaDt39DfMsG6z0GbN0gvUuatHnNNqSDC1tFuUdh3S4iQtIngO9IOoU0LjEb+ArpC+G/JU0jzW77eM62E2kw+C1gKXBiRLyRB4QvkrQh6fP6Hdr/UjmT9HvZ2+XH/WkYhCXA0aQvwvptvSbpb4Af5SPlqaTz/fVOIV3dNIc0m+h6Of164L/y4O3bvamVKLdHRcSjkr4J/DwHuaWkcYyn61a9nTTr7i+6uQrveH8BJLUAr0b+xTlbNXn2WDN7m6QhwC9Jg95v9sL2vgq8HBFX9PS2rPN86snM3hYRrwKn0Xu/7/wSaYDfVmHuUZiZWZF7FGZmVuRAYWZmRQ4UZmZW5EBhZmZFDhRmZlb0/wE4Uzp7uXU2EAAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "dataset[\"difference_mins\"].hist()\n",
        "plt.xlabel(\"Case Resolution Time (mins)\")\n",
        "plt.title(\"Most Cases Resolved Within 10,000 mins\\nNumber of Cases Resolved per 10,000 mins\", loc=\"left\")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "e677d4c1",
      "metadata": {
        "id": "e677d4c1",
        "outputId": "d81c9b8c-f3af-43ba-9a0b-fb1b840235a5"
      },
      "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>caseID</th>\n",
              "      <th>difference_mins</th>\n",
              "      <th>sup_district</th>\n",
              "      <th>pop_den</th>\n",
              "      <th>num_business</th>\n",
              "      <th>num_facilities</th>\n",
              "      <th>month</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>caseID</th>\n",
              "      <td>1.000000</td>\n",
              "      <td>-0.048579</td>\n",
              "      <td>-0.004405</td>\n",
              "      <td>0.008857</td>\n",
              "      <td>-0.007884</td>\n",
              "      <td>-0.004627</td>\n",
              "      <td>0.996151</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>difference_mins</th>\n",
              "      <td>-0.048579</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>-0.010889</td>\n",
              "      <td>-0.010733</td>\n",
              "      <td>-0.003177</td>\n",
              "      <td>-0.001289</td>\n",
              "      <td>-0.049310</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>sup_district</th>\n",
              "      <td>-0.004405</td>\n",
              "      <td>-0.010889</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>-0.143678</td>\n",
              "      <td>-0.271073</td>\n",
              "      <td>0.044193</td>\n",
              "      <td>-0.003698</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>pop_den</th>\n",
              "      <td>0.008857</td>\n",
              "      <td>-0.010733</td>\n",
              "      <td>-0.143678</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.345741</td>\n",
              "      <td>-0.337950</td>\n",
              "      <td>0.009168</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>num_business</th>\n",
              "      <td>-0.007884</td>\n",
              "      <td>-0.003177</td>\n",
              "      <td>-0.271073</td>\n",
              "      <td>0.345741</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.373447</td>\n",
              "      <td>-0.008150</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>num_facilities</th>\n",
              "      <td>-0.004627</td>\n",
              "      <td>-0.001289</td>\n",
              "      <td>0.044193</td>\n",
              "      <td>-0.337950</td>\n",
              "      <td>0.373447</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>-0.004935</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>month</th>\n",
              "      <td>0.996151</td>\n",
              "      <td>-0.049310</td>\n",
              "      <td>-0.003698</td>\n",
              "      <td>0.009168</td>\n",
              "      <td>-0.008150</td>\n",
              "      <td>-0.004935</td>\n",
              "      <td>1.000000</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                   caseID  difference_mins  sup_district   pop_den  \\\n",
              "caseID           1.000000        -0.048579     -0.004405  0.008857   \n",
              "difference_mins -0.048579         1.000000     -0.010889 -0.010733   \n",
              "sup_district    -0.004405        -0.010889      1.000000 -0.143678   \n",
              "pop_den          0.008857        -0.010733     -0.143678  1.000000   \n",
              "num_business    -0.007884        -0.003177     -0.271073  0.345741   \n",
              "num_facilities  -0.004627        -0.001289      0.044193 -0.337950   \n",
              "month            0.996151        -0.049310     -0.003698  0.009168   \n",
              "\n",
              "                 num_business  num_facilities     month  \n",
              "caseID              -0.007884       -0.004627  0.996151  \n",
              "difference_mins     -0.003177       -0.001289 -0.049310  \n",
              "sup_district        -0.271073        0.044193 -0.003698  \n",
              "pop_den              0.345741       -0.337950  0.009168  \n",
              "num_business         1.000000        0.373447 -0.008150  \n",
              "num_facilities       0.373447        1.000000 -0.004935  \n",
              "month               -0.008150       -0.004935  1.000000  "
            ]
          },
          "execution_count": 10,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# Check for correlation between each quantitative variable\n",
        "\n",
        "corr = dataset.corr()\n",
        "corr"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "e1c819c1",
      "metadata": {
        "id": "e1c819c1",
        "outputId": "61b3fe79-eb3b-4658-ead8-fb8ba6fee81a"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "count    452165.000000\n",
              "mean       9927.383953\n",
              "std       45342.720754\n",
              "min           0.000000\n",
              "25%         113.000000\n",
              "50%         686.000000\n",
              "75%        2641.000000\n",
              "max      928247.000000\n",
              "Name: difference_mins, dtype: float64"
            ]
          },
          "execution_count": 11,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "dataset[\"difference_mins\"].describe()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "02818d12",
      "metadata": {
        "id": "02818d12",
        "outputId": "b26c7b76-3eee-41ab-c03f-388c0a18694e"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "252114\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "53743\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "5459\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "1818\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "2741\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "7478\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "16262\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "42973\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "3902\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "6456\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "281\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "4899\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "6644\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "6597\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "7192\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "748\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "2320\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "2150\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "2369\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "195\n"
          ]
        },
        {
          "data": {
            "image/png": 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nBZ8x5COKiIgxo5WQeUu/K/On0NqjAiIi4iDT6uOX/0nSreX7BTQ4rBUREdGrlYn/GyXdC5xL7RqU82w/XNnIIiJi1Gv1cNejwO7edpKOt/3kkI8qIiLGhFbOLvsstRtOPk3tSn9Ru4L+tGqGFhERo10rezKfA04qpx9HRETsV0u3laF288mIiIimtLIn8xhwp6TvAy/3Fm1/ZchHFRERY0IrIfNkeR1aXhEREYNq5RTmv4bakzFt/2t1Q4qIiLGilSdjvn+wJ2NGRET018rE/1c5sCdjRkTEQarSJ2NGRMTBrZWJ/z5PxgT+jP0/GTMiIg5ilT4ZMyIiDm5N7clIGgd81fZQPRkzIiIOAk3tyZRHIE8th8maJuk3JG2U9DNJWyT1ngY9RdI6SdvKe/1zai6V1CVpq6R5dfUzJW0uy66RpFI/TNItpb5B0oy6NovKNrZJWtTK2CMi4s1rZU7mCeBuSauB16+T2c8V/y8DH7b9S0mHAD+RtAY4D1hv+wpJlwCXAF+SdDLQAZwCvAP4saTfKiF3HbAE+CnwA2A+sAZYDOy2faKkDuBK4OPloWpLgVnUbuR5r6TV5YmeERExDFqZk9kJ3F7aHFH3GpBrflm+HlJeBhYAK0t9JbCwfF4A3Gz7ZduPA13AbEnHAhNt32PbwI392vT2dSswp+zlzAPW2e4pwbKOWjBFRMQwqfyK/zKfcy9wIvB12xskHWN7V+l3l6Sjy+rTqO2p9NpRaq+Wz/3rvW22l772SnoeOKq+3qBN/fiWUNtD4vjjj2/2Z0VERBMqv+Lf9mu2TwemU9srOXWwzTTqYpD6gbapH99y27Nsz5o6deogQ4uIiFYN2xX/tp8D7qR2yOrpcgiM8v5MWW0HcFxds+nUDtPtKJ/71/u0kTQeOBLoGaSviIgYJpVe8S9pqqRJ5fME4PeoPcJ5NdB7ttci4LbyeTXQUc4YOwGYCWwsh9b2SDq7zLdc2K9Nb1/nA3eUeZu1wFxJk8vZa3NLLSIihknVV/wfC6ws8zJvAVbZvl3SPcAqSYupPT7gAgDbWyStAh4G9gIXlzPLAC4CbgAmUDurbE2pXw/cJKmL2h5MR+mrR9LlwKay3mW2e1r4vRER8Sa1EjKfAb7Gviv+f8R+rvi3/SBwRoP6s8CcAdosA5Y1qHcCb5jPsf0SJaQaLFsBrBhsjBERUZ39hoykK21/CTg3V/xHREQrmpmT+Wi5kPLSqgcTERFjSzOHy34I/AJ4q6QXqJ0a3HuKsG1PrHB8ERExijWzJ/M/bB8JfN/2RNtH1L9XPcCIiBi9mgmZe8r7C1UOJCIixp5mDpcdWu5g/AFJ5/VfaPs7Qz+siIgYC5oJmc8AnwQmAX/Yb5mBhExERDS035Cx/RNqt+jvtH39MIwpIiLGiGauk/mw7TuA3TlcFhERrWjmcNkHgTuoHSp7/dTluveETERENNRMyOyR9AXgIfreQv8Nt82PiIio10zIvK28nwT8NrW7H4vans1dFY0rIiLGgGYm/nufiPkj4H2295TvfwV8u9LRRUTEqNbK82SOB16p+/4KMGNIRxMREWNKK7f6vwnYKOm71OZj/j2wspJRRUTEmNB0yNheJmkN8Lul9Cnb91czrIiIGAta2ZPB9n3AfRWNJSIixphW5mRaJuk4Sf8o6RFJWyR9rtSnSFonaVt5n1zX5lJJXZK2SppXVz9T0uay7BpJKvXDJN1S6hskzahrs6hsY1u5/1pERAyjSkMG2Av8N9v/BjgbuFjSycAlwHrbM4H15TtlWQdwCjAfuFbSuNLXdcASYGZ5zS/1xcBu2ycCVwNXlr6mAEuBs4DZwNL6MIuIiOpVGjK2d5VDbJRTnx8BpgEL2HfSwEpgYfm8ALjZ9su2Hwe6gNmSjgUm2r7HtoEb+7Xp7etWYE7Zy5kHrLPdY3s3sI59wRQREcOg6j2Z15XDWGcAG4BjbO+CWhABR5fVpgHb65rtKLVp5XP/ep82tvcCzwNHDdJX/3EtkdQpqbO7u/tN/MKIiOhvWEJG0tuAfwA+b3uwh5+pQc2D1A+0zb6Cvdz2LNuzpk6dOsjQIiKiVZWHjKRDqAXMN+vu2Px0OQRGeX+m1HcAx9U1nw7sLPXpDep92kgaDxwJ9AzSV8So8ZZG/6s0SD2i3VR9dpmA64FHbH+lbtFqoPdsr0XU7ofWW+8oZ4ydQG2Cf2M5pLZH0tmlzwv7tent63zgjjJvsxaYK2lymfCfW2oRo8avB7gN7UD1iHbT0nUyB+Ac4D8BmyU9UGp/CVwBrJK0GHgSuADA9hZJq4CHqZ2ZdrHt10q7i4AbgAnAmvKCWojdJKmL2h5MR+mrR9LlwKay3mW2eyr6nRGVGCfxmt+YKOOUXZkYHSoNmfJUzYH+a5gzQJtlwLIG9U7g1Ab1lygh1WDZCmBFs+ONaDeNAmawekS7GbazyyKiddMmTWipHtFuEjIRbWzncy+2VI9oNwmZiDY20EGxHCyL0SIhExERlUnIREREZRIyERFRmYRMRERUJiETERGVSchERERlEjIREVGZhExERFQmIRMREZVJyES0sTxPJka7hExEG8vzZGK0S8hERERlEjIREVGZhExERFSm0pCRtELSM5IeqqtNkbRO0rbyPrlu2aWSuiRtlTSvrn6mpM1l2TVS7dmzkg6TdEupb5A0o67NorKNbZIWVfk7IyKisar3ZG4A5verXQKstz0TWF++I+lkoAM4pbS5VtK40uY6YAkws7x6+1wM7LZ9InA1cGXpawqwFDgLmA0srQ+ziIgYHpWGjO27gJ5+5QXAyvJ5JbCwrn6z7ZdtPw50AbMlHQtMtH2PbQM39mvT29etwJyylzMPWGe7x/ZuYB1vDLuIiKjYSMzJHGN7F0B5P7rUpwHb69bbUWrTyuf+9T5tbO8FngeOGqSviIgYRu008d/o8jIPUj/QNn03Ki2R1Cmps7u7u6mBRkREc0YiZJ4uh8Ao78+U+g7guLr1pgM7S316g3qfNpLGA0dSOzw3UF9vYHu57Vm2Z02dOvVN/KyIiOhvJEJmNdB7ttci4La6ekc5Y+wEahP8G8shtT2Szi7zLRf2a9Pb1/nAHWXeZi0wV9LkMuE/t9QiImIYja+yc0nfAj4EvF3SDmpnfF0BrJK0GHgSuADA9hZJq4CHgb3AxbZfK11dRO1MtQnAmvICuB64SVIXtT2YjtJXj6TLgU1lvcts9z8BISIiKlZpyNj+xACL5gyw/jJgWYN6J3Bqg/pLlJBqsGwFsKLpwUZExJBrp4n/iIgYYxIyERFRmYRMRERUJiETERGVSchERERlEjIREVGZhExERFQmIRMREZVJyERERGUSMhERUZmETEREVCYhExERlUnIREREZRIyERFRmYRMRERUJiETERGVSchERERlEjIREVGZMR8ykuZL2iqpS9IlIz2eiIiDyZgOGUnjgK8DHwFOBj4h6eSRHVVExMFjTIcMMBvosv2Y7VeAm4EFIzymiIiDxlgPmWnA9rrvO0rtdZKWSOqU1Nnd3T2sg4uIGOvGesioQc19vtjLbc+yPWvq1KnDNKyIiIPDWA+ZHcBxdd+nAztHaCwREQedsR4ym4CZkk6QdCjQAawe4TFFNO2JK36/pXpEuxk/0gOoku29kv4UWAuMA1bY3jLCw4poSQIlRrMxHTIAtn8A/GCkxxERcTAa64fLIiJiBCVkIiKiMgmZiIioTEImIiIqI9v7X+sgIakb+PlIjyNiAG8HfjHSg4ho4DdtN7yaPSETMUpI6rQ9a6THEdGKHC6LiIjKJGQiIqIyCZmI0WP5SA8golWZk4mIiMpkTyYiIiqTkImIiMokZCIakPTL8j5D0kPl84ck3V7Btu6U9IZTk0t9q6SfSbpb0kkH0Pdf9vv+T29mrBGtSshEtLdP2n4vsBK46gDa9wkZ2x8YklFFNCkhE3EAJL1V0gpJmyTdL2lBqR8uaZWkByXdImlD716KpOskdUraIumvW9zkXcCJqrlK0kOSNkv6eOn7WEl3SXqgLPtdSVcAE0rtm2W93j20D5U9pVslPSrpm5JUln201H4i6ZrevTdJ/7b09UD5zUcMyT/MGNPG/PNkIiry34E7bH9a0iRgo6QfAxcBu22fJulU4IH6NrZ7JI0D1ks6zfaDTW7vD4HNwHnA6cB7qd1mZpOku4D/AKy1vaz0f7jt/yfpT22fPkCfZwCnUHsk+d3AOZI6gb8DPmj7cUnfqlv/z4GLbd8t6W3AS02OPQ5i2ZOJODBzgUskPQDcCfwGcDzwO8DNALYfAupD5GOS7gPup/bH/eQmtvPNso1zqP2R/x3gW7Zfs/008H+B36b2qPFPSfor4D229zTR90bbO2z/mloYzgDeDTxm+/GyTn3I3A18RdKfAZNs721iG3GQS8hEHBgBf2z79PI63vYjpf7GlaUTqIXEHNunAd+nFkz788nS/0Lb2wfq3/ZdwAeBp4CbJF3YRN8v131+jdqRjYb9l21cAfxnYALwU0nvbmIbcZBLyEQcmLXAZ+vmMc4o9Z8AHyu1k4H3lPpE4F+B5yUdA3zkALd7F/BxSeMkTaUWLBsl/SbwjO3/CVwPvK+s/6qkQ1ro/1HgnZJmlO8f710g6V22N9u+EuikttcTMajMyUQcmMuBrwIPlqB5AvgD4FpgpaQHqR0WexB43vY2SfcDW4DHqB16OhDfBd4P/Aww8Be2/0XSIuCLkl4Ffgn07sksL2O8z/Yn99e57Rcl/Vfgh5J+AWysW/x5SedS2+t5GFhzgL8hDiK5rUzEECqT7ofYfknSu4D1wG/ZfmWEh9Y0SW+z/csSnl8Httm+eqTHFaNT9mQihtbhwD+WQ1QCLhpNAVP8SdkzOpTa3tjfjfB4YhTLnkxERFQmE/8REVGZhExERFQmIRMREZVJyERERGUSMhERUZn/D9M0gIWiR+weAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "13750\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "206\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "43\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "50\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "153\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "193\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "76\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "91\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "1621\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "5\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "98\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "17\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "18\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "43\n"
          ]
        },
        {
          "data": {
            "image/png": 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cfJKk5WnbFZKU4rtLmpfi90oalyszI33GKkkzChyrWUuYs3DllgRT072phzkLVzapRWbFFEkya4HbUpk9co/+bAa+GBF/BhwFzJJ0CHAOcGdEjAfuTO9J26YDhwLHA1emrjqAbwMzgfHpcXyKnw6sj4iDgcuBS1Ndo8nuGn0kMBk4N5/MzKpg7YbuQnGzVlPqFf8R8STwZHr9gqSHySYOnAC8L+02F7gb+HKK3xARG4FHJa0GJkt6DNgzIhanNlwHTANuT2XOS3XdBHwzneVMBRZFxLpUZhFZYvrngR6zWbMdMHIEnQ0SygEjRzShNWbF7bAr/lM31kTgXmC/lIBqiWjftFsb2d2ea9akWG1GW328V5mI2Ex2p+i9+6mrvl0zJXVI6ujq6hro4ZjtEGdPncCI4cN6xUYMH8bZUyc0qUVmxeyQK/4lvR74IfD5iHi+v10bxKKf+PaW2RqIuCoi2iOifcyYMf00zWzHmzaxjZMmtTEsG4JkmMRJk9o86G+VUfoV/5KGkyWY70XEzSn8lKT90/b9gadTfA1wYK74WLKxoDXpdX28VxlJuwJ7Aev6qcusMuYv6+SHSzvpiez7UU8EP1zayfxlnU1umdnAFFq0LH/Fv6Sz2MYV/2ls5Grg4bp1ZxYAtdleM4Bbc/HpacbYQWQD/EtSl9oLko5KdZ5WV6ZW18nAXRERwEJgiqRRacB/SoqZVYZnl1nVFbmtzGeAf2Dr+MgdbPuK/6OB/wYsl/RAiv0tcAlwo6TTydaoOQUgIlZIuhF4iGxm2qyIqP0POwO4FhhBNuB/e4pfDVyfJgmsI5udRkSsk3QhcF/a74LaJACzqvDsMqu6bSYZSZdGxJeBY4pe8R8R99B4bATguD7KXARc1CDeARzWIP4nUpJqsO0a4JqBttes1Xh2mVXdQLrLPpTGVWaX3Rgz682zy6zqBtJd9hPgGeB1kp4nOzOpzd6KiNizxPaZ7dRqs8h87zKrKkW8YlZv7x2k3SNio6RbI+KEHdSupmhvb4+Ojo5mN8PMrFIkLY2I9kbbBtJdtjg993d9i5mZ2SsMpLtst3RzyXdJOrF+Y+7aFzMzs14GkmQ+A3wcGAl8pG5bAE4yZmbW0DaTTJqGfI+kjoi4ege0ycxyvGiZVdlArpM5NiLuAta7u8xsx/KiZVZ1A+kuew9wF1lX2Zapy7lnJxmzkvR3WxknGauCgSSZF9IKmL+m992N+5/7bGavmm8rY1U3kCTz+vQ8AXgH2Y0pRXZm8/OS2mVm+LYyVn3bvE4mIs5Pq2LuAxwREWdFxBeBSfS+/b6ZDTLfVsaqrshdmN8AvJR7/xIwblBbY2a9+LYyVnVFksz1wBJJt5CNx3wMmFtKq8xsi2kTvRKmVdeAk0xEXCTpduDdKfSpiFhWTrPMzGwoKHImQ0TcD9xfUlvMzGyIKbL8spmZWSFOMmZmVhonGTMzK42TjJmZlcZJxszMSuMkY2ZmpSk0hdnMdjyvJ2NV5iRj1sK8noxVnbvLzFpYf+vJmFWBk4xZC/N6MlZ1TjJmLayvdWO8noxVhZOMWQs75i1jCsXNWo2TjFkL+9kjXYXiZq3GScashXlMxqqu1CQj6RpJT0v6dS42WtIiSavS86jcttmSVktaKWlqLj5J0vK07QpJSvHdJc1L8XsljcuVmZE+Y5WkGWUep1lZPCZjVVf2mcy1wPF1sXOAOyNiPHBneo+kQ4DpwKGpzJWSaoubfxuYCYxPj1qdpwPrI+Jg4HLg0lTXaOBc4EhgMnBuPpmZVYXHZKzqSk0yEfFzYF1d+AS2Lts8F5iWi98QERsj4lFgNTBZ0v7AnhGxOCICuK6uTK2um4Dj0lnOVGBRRKyLiPXAIl6Z7MxansdkrOqaMSazX0Q8CZCe903xNuCJ3H5rUqwtva6P9yoTEZuB54C9+6nrFSTNlNQhqaOry/9xrbV4TMaqrpUG/tUgFv3Et7dM72DEVRHRHhHtY8a4C8Jai8dkrOqakWSeSl1gpOenU3wNcGBuv7HA2hQf2yDeq4ykXYG9yLrn+qrLrFLOnjqBEcOH9YqNGD6Ms6dOaFKLzIppRpJZANRme80Abs3Fp6cZYweRDfAvSV1qL0g6Ko23nFZXplbXycBdadxmITBF0qg04D8lxcwqZdrENi4+8a20jRyBgLaRI7j4xLf65phWGaXehVnSPwPvA/aRtIZsxtclwI2STgceB04BiIgVkm4EHgI2A7MionZnwDPIZqqNAG5PD4CrgeslrSY7g5me6lon6ULgvrTfBRFRPwHBrBKmTWxzUrHKUvbF3wDa29ujo6Oj2c0wM6sUSUsjor3RNq8nY9bivGiZVZmTjFkL86JlVnWtNIXZzOp40TKrOicZsxbW2cdFl33FzVqNk4xZC2t0VXF/cbNW4yRj1sL6mvvpOaFWFU4yZmZWGicZsxY26rXDC8XNWo2TjFkLO/cjh7JL3QDMLsriZlXgJGPW4obVZZn692atzEnGrIXNWbiSTT29h/k39YSvk7HKcJIxa2FetMyqzknGrIV50TKrOicZsxbmRcus6nyDTLMWVrsJpu/CbFXlJGPW4rxomVWZk4xZi/N6MlZlTjJmLWz+sk6++IMH6Xk5m8bcuaGbL/7gQcDryVg1eODfrIV95ZblWxJMTc/LwVduWd6kFpkV4yRj1sL+8FJPobhZq3GSMTOz0jjJmJlZaZxkzFqYV8a0qnOSMWthXhnTqs5JxszMSuMkY2ZmpXGSMTOz0jjJmJlZaZxkzMysNE4yZmZWmiGfZCQdL2mlpNWSzml2e8zMdiZDOslIGgZ8C/ggcAjwXyUd0txWmZntPIZ0kgEmA6sj4ncR8RJwA3BCk9tkZrbTGOpJpg14Ivd+TYptIWmmpA5JHV1dXTu0cWZmQ91QTzKNbvHU644cEXFVRLRHRPuYMWN2ULPMzHYOQz3JrAEOzL0fC6xtUlvMzHY6Qz3J3AeMl3SQpN2A6cCCJrfJbMAeu+TDheJmrWbXZjegTBGxWdJfAwuBYcA1EbGiyc0yK8QJxapsSCcZgIj4MfDjZrfDzGxnNNS7y8zMrImcZMzMrDROMmZmVhonGTMzK40ivFp4jaQu4PfNbodZH/YBnml2I8waeGNENLya3UnGrCIkdUREe7PbYVaEu8vMzKw0TjJmZlYaJxmz6riq2Q0wK8pjMmZmVhqfyZiZWWmcZMzMrDROMtaQpP0kfV/S7yQtlbRY0sea2J5PSvpmH/EuSQ9IekTS3zSjfXVt+ryk125HuZ50HA9Kul/Su1L8fZJuq9v3Wkknp9d3S2pPrx+TtE/dvrWf0TJJqyQtrNXdR10duW3tku7OvZ+c9lmV2vgvkt7a4Fi2/HtJOk/SHyXtm9v+Yu71VyStkPSrdPxH5tqyMv08/k3ShLr4A+lxU66u0yT9OtX3kKSzJH0r7feQpO5cuZPrjn03SV+X9Nt0fLdKGpurOyRdlnt/lqTz+v9XNScZewVJAuYDP4+IN0XEJLK1eMb2W/DVf+723hV8XkQcDhwNfEXSgdvYv2yfBwonGaA7Ig6PiLcDs4GLB7FN8yJiYkSMBy4Bbpb0Z33su6+kD9YHJe0H3Aj8bUSMj4gjUhv/8wA+/xngiw3qfCfwF8AREfE24P30XjL94+nnMReYUxc/PD1qSeKDZD/7KRFxKHAE8FxEzEq/Hx8CfpsrdxO9fRXYA3hz+jnNJ/s51VbY3QicWJ/ErX9OMtbIscBLEfF/a4GI+H1EfANA0jBJcyTdl759/lWKvy99y7wpnVV8r/YfVNIkSf+azooWSto/xe+W9FVJ/wqcKekjku5N37p/mv6wDUhEPAusBmp1f0LSkvSt9f9JGpbin5L0m9Sef8x9497yrTa9z3/bPjt3vOen2OvSN/kH07fnUyV9DjgA+Jmkn23PDz/ZE1j/Ksr3KSJ+RjZTbWYfu8wB/meD+F8DcyPi33N13RMR8wfwsdcAp0oaXRffH3gmIjam+p6JiEar1/4cOHgbnzEbOKtWPiL+FBH/OIC2oezM81PA30RETyr/XbLEcmzabTPZz63pZ8tV4iRjjRwK3N/P9tPJviG+A3gH8GlJB6VtE8m+TR4CvAk4WtJw4BvAyems6Brgolx9IyPivRFxGXAPcFRETARuAL400EZLegPwGuBX6Vv6qcDR6VtsD/DxlNzOJzvr+UBq57bqnQKMByYDhwOTJL0HOB5YGxFvj4jDgJ9ExBVkS3wfExHHDLTtyYiUEB8BvgNcWLB8EfcDb+lj22Jgo6T69m/r96I/L5L9u59ZF78DODAl/SslvbeP8h8Blufefy/X7VU7wzkMWLqd7TsYeDwinq+Ld5Add823yH6P9trOz9npDPlFy+zVk/Qt4M/Jzm7eAUwB3pb71r8X2R/hl4AlEbEmlXsAGAdsIPsDsCid2AwDnsx9xLzc67HAvJQMdgMeHUATT01/ECcAn46IP0k6DpgE3Jc+cwTwNHAkcHdEdKU2zgPevI36p6THsvT+9el4fwH8vaRLgdsi4hcDaGt/ulNCrHUjXSfpMKCv6wxezfUH2sb2/012NvPlPiuQ7iU747ojIuqTRyNXAA/kxzUi4kVJk4B3A8eQ/dufExHXpl2+J6kbeAz4bK6uj0dEB4NHNP559opHxPOSrgM+B3QP4ucPWT6TsUZWkPVnAxARs4DjgNoN8AR8Nte3fVBE3JG2bczV00P2RUbAitz+b42IKbn9/pB7/Q3gmxHxVuCvyM5MtmVe6oN/N3CZpP+UPnNu7jMnRMR5tUPqo57NpP8TqZtvt9zxXpyr6+CIuDoifkOWyJYDF0v6X/01UtKRuW/fH+1v34hYTHZDzDHAs8Coul1G8+puljkReLifz7+L7Gd/VC5c/3txJPB3ZF8ytikiNgDfB/5HXbwnIu6OiHPJuuROym2ujb1Mi4j8WE0jK8j+PbbHauCNkvaoix8BPFQX+zrZ2fzrtvOzdipOMtbIXcBrJJ2Ri+UHshcCZ6RuMCS9WVJ//+FWAmPSt3MkDZd0aB/77gV0ptczijQ6/WG+nqxL5k7gZKUZTZJGS3ojcC/wPkl7p/afkqviMbb+kToBGJ5eLwT+UtLrU11tkvaVdADwx4j4J+Dv2foH+AWyAeT69t2bS1QL+jsWSW8hO+N7FlgFHFAbqE/H8XbggYH9ZF5R93vJxmO2NV5xEb27K78FfFK5mWkUn+DwNbIvD7umtkyQND63/XC2/07oFwP/J33JQNLuaYxsmyLiD2STC76WG7s7jez47qrbdx3ZBIjTt7OdOxV3l9krRERImgZcLulLQBfZ2Uat6+Q7ZN1g96dv/F3AtH7qeyl1rV2R+rJ3Jfs2uKLB7ucBP5DUCfwSOKjBPv25lGzc4Ktk3T13SNoF2ATMiohfKpt2upisy+5+sj/mkP3RvVXSErIk9YfU/jvSH/jFqevtReATZP34cyS9nOqvJeWrgNslPVlwXGZE6mKE7OxpRhqE7pH0CeC7kl6TPuu/R8RzfdTzq9QmyP4Y/oqsS/HPyf5oPgqcFBF9nsmk4/6xsuUvau//v6RTgUsltZF1Pz4DXDDQA4yIZyTdwtbB89cD35A0kuxMcjV9T0jIq3WjQTZx4P2pvfsBP02/l0E2DjRQs8m+LPwm/fweAT4WjW+LchnZWZdtg28rYzs1SZ8E2iPCfzDMSuDuMjMzK43PZMzMrDQ+kzEzs9I4yZiZWWmcZMzMrDROMmZmVhonGTMzK81/AAQa91Sj97TFAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "198\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "11\n"
          ]
        },
        {
          "data": {
            "image/png": 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lPUlSB4P8Wu0xwI/6ln8EHLunQe13qD4DfKLvno0nkxzZ1h8JPNXqm4Cj+4Yvovcc8U3t9Y71nVTVNVU1VlVjCxYs2FN7kqSOBnkexp8D9yT5LL1/3f9TeucfdqldyfQx4MGqurxv1SrgfODSNr+lr/7JJJcDR9E7uX1PVW1P8kyS0+kd0joP+MgAvUsj4eZ7H+eyOzawees2jjpkLhcvOZ5lp3h0VTND58Coqj9Kcjvwj1rp3VV17x6GnQn8C2Bdkm+02r+jFxQrk1wAPAqc0z5jfZKVwAP0rrC6qKomnup3IXAdMJfeyW5PeGtGufnex1lx0zq2Pdf7T/rxrdtYcdM6AENDM0Kq9nix04w1NjZW4+Pj092GBMCZl/4Vj2/dtlN94SFz+eolb5pkhDR8SdZW1dhk6wZ6prekn93mScJid3Vp1BgY0pAcdcjcgerSqDEwpCG5eMnxzD1gzgtqcw+Yw8VLjp+mjqTBDHKVlKQXYeLEtldJaaYyMKQhWnbKQgNCM5aHpCRJnRgYkqRODAxJUicGhiSpEwNDktSJgSFJ6sTAkCR1YmBIkjoxMCRJnRgYkqRODAxJUicGhiSpEwNDktSJgSFJ6sTAkCR1YmBIkjoxMCRJnUxpYCT5eJKnktzfV5ufZHWSh9r80L51K5JsTLIhyZK++qlJ1rV1VybJVPYtSdrZVO9hXAcs3aF2CbCmqhYDa9oySU4AzgVObGOuSjKnjbkaWA4sbtOO7ylJmmJTGhhV9WXgb3Yonw1c315fDyzrq99YVc9W1SPARuC0JEcC86rqrqoq4Ia+MZKkIZmOcxhHVNUTAG1+eKsvBB7r225Tqy1sr3esTyrJ8iTjSca3bNmyVxuXpH3ZKJ30nuy8RO2mPqmquqaqxqpqbMGCBXutOUna101HYDzZDjPR5k+1+ibg6L7tFgGbW33RJHVJ0hBNR2CsAs5vr88Hbumrn5vkJUmOo3dy+5522OqZJKe3q6PO6xsjSRqS/afyzZP8BfBG4LAkm4D/AFwKrExyAfAocA5AVa1PshJ4AHgeuKiqtre3upDeFVdzgdvbJEkaovQuPJqdxsbGanx8fLrbkKQZI8naqhqbbN2U7mFIeqGb732cy+7YwOat2zjqkLlcvOR4lp2yy4v+pJFiYEhDcvO9j7PipnVse653pPXxrdtYcdM6AENDM8IoXVYrzWqX3bHhJ2ExYdtz27nsjg3T1JE0GANDGpLNW7cNVJdGjYEhDclRh8wdqC6NGgNDGpKzXjP5Lw/sqi6NGgNDGpLbvvnEQHVp1BgY0pB8//8+N1BdGjUGhiSpEwNDGpK5B0z+f7dd1aVR43+p0pAcdMCcgerSqDEwpCHZuotzFbuqS6PGwJCGxPswNNMZGNKQXLzkeObucPhp7gFzuHjJ8dPUkTQYA0MakmWnLOQdpy5kTnpPHZ6T8I5TF/rDg5oxDAxpSG6+93H+8p7H2N6eQbO9ir+85zFuvvfxae5M6sbAkIbkQ6vW89yPX/jAsud+XHxo1fpp6kgajIEhDcnWbbu4SmoXdWnUGBiSpE4MDElSJwaGJKkTA0OS1MmMCowkS5NsSLIxySXT3Y8k7UtmTGAkmQP8V+CfACcAv57khOntSpL2HTMmMIDTgI1V9XBV/Qi4ETh7mnuSpH3GTAqMhcBjfcubWu0FkixPMp5kfMuWLUNrTpJmu5kUGJmkVjsVqq6pqrGqGluwYMEQ2pKkfcNMCoxNwNF9y4uAzdPUizSwM181f6C6NGpmUmB8HVic5LgkBwLnAqumuSeps0+854ydwuHMV83nE+85Y5o6kgaz/3Q30FVVPZ/kt4A7gDnAx6vKX23TjGI4aCabMYEBUFWfBz4/3X1I0r5oJh2SkiRNIwNDktSJgSFJ6sTAkCR1kqqd7n2bNZJsAb4z3X1IkzgM+O50NyFN4hVVNeldz7M6MKRRlWS8qsamuw9pEB6SkiR1YmBIkjoxMKTpcc10NyANynMYkqRO3MOQJHViYEiSOjEwNCMl+cEOy+9K8mdT/Jl3JpmSS2GTvDrJ55NsTPJgkpVJjpiKz5J+VjPq12ql2SjJQcBtwAeq6nOtdhawAHhyiH3sX1XPD+vzNPO4h6FZJ8krkqxJ8s02P6bVr0tydZIvJXk4yRuSfLz9i/66vvFvTnJXkv+V5FNJXjrJZ0y6TZJLkzzQPvs/t9o5Se5Pcl+SL0/S8j8H7poIC4Cq+lJV3Z/koCTXJlmX5N4WJBN7VDcl+UKSh5L8cV9vS1tf9yVZ02oHt+/69fY+Z/e9z6eSfA744q7eN8mc9ud3f+vlX7/Y/500A1WVk9OMm4DtwDf6pkeBP2vrPgec317/JnBze30dcCO958OfDTwN/Dy9fzitBU6m95MdXwYObmM+CPx+e30nMLarbYD5wAZ+evXhIW2+DljYX9vhu1wOvH8X3/N3gWvb69e073kQ8C7gYeDlbfk79B5hvAB4DDiujZnf5v8J+I2JHoD/DRzc3mdT33a7et9TgdV9fe30PZxm/+QhKc1U26rq5ImFJO+i95c5wBnA29vrPwf+uG/c56qqkqwDnqyqdW38euBYes+KPwH4ahKAA4G7dvjs03exzdPA/wM+muQ24Na2/VeB65KsBG4a8Hv+Q+AjAFX1rSTfAV7d1q2pqr9t/T8AvAI4FPhyVT3SxvxN2/bNwK8m+Tdt+SDgmPZ6dd92u3rf9cArk3yE3uGzLw74PTQLGBjaF/TfbPRsm/+47/XE8v709lxWV9Wv7+b9sqttkpwG/BK9Z87/FvCmqnpvkl8E3gJ8I8nJVfW9vmHrgTfs5rN2pb//7a3/8MLv2/8+76iqDTv0+4vAD/f0vlX1/SQnAUuAi4Bfo7f3pn2I5zA0G/01vb+wAd4JfGWAsV8DzkzydwGS/FySV3fZpp3HeHn1HiX8O/QOcZHkVVV1d1X9Pr1fqD16h/f7JPC6JG+ZKLTzED9P79DXO1vt1fT2Cjawa3cBb0hyXBszv9XvAN6XtkuU5JSufyBt+8OA/arqM8C/B147yHjNDu5haDb6beDjSS4GtgDv7jqwqra0w1t/keQlrfx79I7572mbZ4Bb2lVPASZODF+WZHGrrQHu2+EztyV5K3BFkiuA54BvAu8HrgL+WzuE9jzwrqp6tv29v6v+lwM3JdkPeAr4x8AfAlcA32yh8W3grV3/XICFwLXtPQFWDDBWs4Q/DSJJ6sRDUpKkTgwMSVInBoYkqRMDQ5LUiYEhSerEwJAkdWJgSJI6+f+MDJPlSf7FaAAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "24\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "15\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "24\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "31\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "1\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "24\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "2163\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "13\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "1\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "10\n"
          ]
        },
        {
          "data": {
            "image/png": 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Y0aN2FbAyIiYCK9NjJE0G5gBT0jo3SmpL69wEzAMmplvP5zQzszqra2BExHeAH/UozwQWpelFwKxSfXFE7I2IZ4HNwNmSxgAjImJVRARwW2kdMzNrkGbswxgdETsA0v2oVB8LbC0t15VqY9N0z3qvJM2T1Cmps7u7e1AbNzM7krXSTu/e9ktEP/VeRcTNEdERER3t7e2D1pyZ2ZGuGYHxfBpmIt3vTPUuYHxpuXHA9lQf10vdzMwaqBmBsRSYm6bnAveW6nMkHSvpNIqd26vTsNVuSeeko6MuLa1jZmYNcnQ9n1zSvwDnA6dI6gI+DXwWWCLpcmALMBsgItZLWgJsAF4G5kfE/vRUV1AccTUcWJZuZmbWQCoOPDo8dXR0RGdnZ7PbMDMbMiStiYiO3ua10k5vMzNrYQ4MMzPL4sAwM7MsDgwzM8viwDAzsywODDMzy+LAMDOzLA4MMzPL4sAwM7MsDgwzM8viwDAzsywODDMzy+LAMDOzLA4MMzPL4sAwM7MsDgwzM8viwDAzsywODDMzy+LAMDOzLEc3uwGzI8k9a7dx3fKNbN+1h1NPGs6C6ZOYNXVss9syy+LAMGuQe9ZuY8GdT7DvlQBg2649LLjzCQCHhg0JHpIya5Crl65/NSxq9r0SXL10fZM6MqvGgWHWILv27KtUN2s1DgwzM8viwDBrkJFvGFapbtZqHBhmDfLpi6cwrE0H1Ia1iU9fPKVJHZlV48Awa5BZU8dyyVnjaVMRGm0Sl5w13kdI2ZAxpAJD0gxJGyVtlnRVs/sxq+Ketdv42ppt7I/iSKn9EXxtzTbuWbutyZ2Z5RkygSGpDfgC8OvAZOB3JE1ubldm+a5bvpE9+/YfUNuzbz/XLd/YpI7MqhkygQGcDWyOiO9FxEvAYmBmk3syy7Z9155KdbNWM5QCYyywtfS4K9UOIGmepE5Jnd3d3Q1rzmwgp540vFLdrNUMpcBQL7U4qBBxc0R0RERHe3t7A9oyy7Ng+iSGD2s7oDZ8WBsLpk9qUkdm1Qylc0l1AeNLj8cB25vUi1lltaOhfPJBG6qGUmA8CkyUdBqwDZgD/G5zWzKrZtbUsQ4IG7KGTGBExMuSfh9YDrQBt0SEz9pmZtYgQyYwACLiG8A3mt2HmdmRaCjt9DYzsyZyYJiZWRYHhpmZZVHEQT9lOGxI6ga+3+w+zHpxCvCDZjdh1oufi4hef8R2WAeGWauS1BkRHc3uw6wKD0mZmVkWB4aZmWVxYJg1x83NbsCsKu/DMDOzLN7CMDOzLA4MMzPL4sCwV0kaLel2Sd+TtEbSKknvbWI/l0n6uz7q3ZIel/SMpE82o78ePX1C0hsOYb396X3UbhMknS/p/jS/r7/Bc5Ie7lF7XNJTfbzOz0v6hqTNkp6WtETS6DTvlyStTn/LZyTNK613taSQ9JZS7ZOp1pHTS4/3M1rS/ZKekLRB0jdS/ShJN0h6StI6SY+mM1PXnv+UND1O0r2SNkn6T0l/K+mY0uuEpItLfdwv6fzc/x7WPweGASBJwD3AdyLizRExjeIU8uPq/LqHegLMOyLiTOA84FOSxg+wfL19AqgcGMCeiDizdHuuwron1t63pLf2tZCk44CvAzdFxFsi4q3ATUC7pJ8Fbgc+FhG/APwS8FFJ7yk9xTqKfws17wc2HEovwF8AKyLi7RExGbgq1S8BTgXOiIi3Ae8FdvV4HwLuAu6JiInAzwMnANeUFusCPtXP69vr4MCwmguBlyLi72uFiPh+RHweQFKbpOvSN78nJX001c+X9JCkr6Zvp/+c/sdG0jRJ/5q2VpZLGpPqD0n6S0n/Clwp6WJJj0haK+lbtW++OSLih8BmoPbcH0zflh+X9A+S2lL9w5K+m/r5Yu1bu6RbJb2/9nyS/qs0vaD0fj+TasdL+nr6hvyUpEsk/QHFh92Dkh48lD/+IVpC8UEL8DvAv/Sx3O8CqyLivlohIh6MiKeA+cCtEfFYqv8A+BNe+yCH4ovETABJbwZ+DPS8/nFuL2MoPtRrfTxZqu+IiFdSvSsiXuix7oXATyPiK2mZ/cAngd/Ta1t3TwA/lvRrfby+vQ4ODKuZAjzWz/zLgR9HxFnAWcBHakMGwFSKb9iTgTcD50kaBnweeH/aWrmFA78JnhQRvxwR1wP/DzgnIqYCiyk+sLJIehNwHPBk+mZ7CXBe2vrYD3wgBdVnKLZGfi31OdDzXgRMBM4GzgSmSXo3MAPYnr4hnw58MyJuoLj64wURcUFu78lwvTYcdXfFdb8KvC9NXwzc18dypwNr+pg3pZd5nale8yKwVdLpFGFwx+vo5QvAlyU9KOlTkk5N9SXAxenvcL2kqTm9RsSLwBbgLaXy/wb+vI/Xt9dhSF0PwxpH0hcohideSiFxEXBG6dv4Gyk+UF8CVkdEV1rvcWACxXDC6cCKtMHRBuwovUT5Q2cccEf6YD8GeDajxUskXQBMAj4SET+V9CvANODR9JrDgZ3ALwIPRUR36vEOiuGM/lyUbmvT4xPS+30Y+GtJ1wL3R8TDfayfa08Kt0PxI+AFSXOAp4H/PoTnENDbsfU9a4sphqWmA78CfPhQeomI5WkrZQbw68BaSadHRJekSRRbERcCKyXNjoiVGb0eUI+IhyUh6V29vmM7ZN7CsJr1wDtqDyJiPsUHQ+0kZAI+XhprPy0iHkjz9paeZz/FFxEB60vLvy0iLiot95PS9OeBv0tj1x+l2GIYyB0RMQV4F3B9GosXsKj0mpMi4uraW+rjeV4m/X+QhtKOKb3fvyo911si4ssR8V2KUFoH/JWk/9Vfk5J+sbQF8VsZ76uqOyi+tfc1BATFf9tp/czreU6raRy8j+I+4EPAlvSt/lB7ISJ+FBG3R8SHKC69/O5U3xsRyyJiAfCXwKyBepU0AhgP/GePZa/B+zIGnQPDar4NHCfpilKtvBN3OXBFGmqqHXVzfD/Pt5Fip+o70/LDJE3pY9k3UlynHWBulaYjYhXwj8CVwErg/ZJGpdc8WdLPAY8A50v6mdT/7NJTPMdrH6YzgWFpejnF2PgJ6bnGShqVhlD+OyL+CfhrXgvZ3cCJvfT3SCl0llZ5b5nuBv5P6rcvtwPnlndkS5oh6W0UH/CXSToz1X8GuDY956siYg/wpxw4rFi5F0kX1vY3SDoR+B/AFknvqA1PSToKOIODzzS9EniDpEvTcm3A9RT7YA7YoklfZkYCb++nX6vIgWEARPGT/1nAL0t6VtJqYBHFhwTAlyi+dT6m4nDJf6CfIc2IeIniaJprJT0BPA6c28fiVwN3qjg081BO+X0txRDJVoqx6wckPQmsAMZExI70GquAb3HgvpovUrzn1RRDVz9J/T9A8UG7StI6ijH6E4G3AavT0NunKMbLoTjVx7I67fS+TFJX6fbqkWsRsTsirk1/716lD/vfBD6u4nDUDcBlwM70t/kg8EVJzwD/DtxS3kFeep7FtZ3jfbzOgL1QhHNn+u+zCvhSRDwKjALuS/+2nqTY8jvgcOL0b/S9wGxJm4DvAj8F/qyP17qGOh/ld6TxqUHsiCPpMqAjIn6/2b2YDSXewjAzsyzewjAzsyzewjAzsywODDMzy+LAMDOzLA4MMzPL4sAwM7Ms/x9SXZ9O9cd7wwAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "4\n"
          ]
        },
        {
          "data": {
            "image/png": 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bIuLKiDgxIk6IiM9XcPX/XuC/RcRvAOcB10o6DbgOWBURk4FVaZm0bjZwOjATuCN9N8CdwDxgcnrNTPW5wO6IOBW4Fbgl9TWW7DY45wLTgYX5MDOrB4vaNtGzp/dR6Z49+1jUtmmIRmRWnYpCJiL2AePSYbKKRcTOiHg2fX6L7PBaM3ApsCRttgSYlT5fCtwfEe9ExFZgCzBd0nhgZESsiYgA7u3TptTXQ8AlaS+nFVgZEV3pAWsr2R9MZnVhR3dPVXWzWlPNnMwrwP+RtBx47zqZSq/4T4expgJrgRMjYmdqv1PSCWmzZuCnuWbbU21P+ty3XmqzLfW1V9IbwHH5epk2+XHNI9tD4uSTT67kp5gNmgmjm+gsEygTRjcNwWjMqlfNnMwO4PHU5tjc66AkfRh4GPijiHizv03L1KKf+qG22V+IWBwRLRHRMm7cuH6GZjb4Lvpo+f9NHqhuVmsKv+Jf0giygPlBRDySyq9JGp/2YsYDr6f6duCkXPOJZOG2PX3uW8+32S5pODAK6Er1C/u0earScZvVgh//bFdVdbNaU+gV/2lu5C7gpT6H1ZYDpbO95gCP5eqz0xljp5BN8D+TDq29Jem81OdVfdqU+rocWJ3mbdqAGZLGpAn/GalmVjfKHSrrr25Wa6qZk7mNbDJ9OWRX/Es62BX/FwBfADokPZdqfwrcDCyVNJfspptXpD43SloKvEh2Ztq16aQDgGuAe4AmYEV6QRZi90naQrYHMzv11SXpRmBd2u6GiOiq4veaDbnSkwHL1c3qQVWPX46IbenylJJ+r/iPiH/iwP9/uOQAbW4CbipTbwfOKFN/mxRSZdbdDdzd3xjNalm5gOmvblZrfMW/mZkVptAr/s3M7Mh20D0ZSbdExFeBiyLiykEYk5mZNYhK9mR+J52GvKDowZiZWWOpZE7mCeAXwIckvcn+E14ERESMLHB8ZmZWxyrZk/mziBgF/CgiRkbEsfn3ogdoZmb1q5KQWZPe+7sdjJmZ2ftUcrjs6PQslvMlXdZ3Ze5WMWZmZr1UEjJfBK4ERgP/oc+6ABwyZmZW1kFDJl21/0+S2iPirkEYk5mZNYhKrpO5OCJWA7t9uMzMzKpRyeGyTwCryQ6VvXfqcu7dIWNmZmVVEjJvSfoK8AK9Hwbme/SZmVm/KgmZD6f3KcBvkj3HRWR7Nv9Q0LjMzKwBVDLxX3oi5pPAORHxVlr+GvBgoaMzM7O6Vs1dmE8G3s0tvwtMGtDRmJlZQ6nmeTL3Ac9IepRsPub3gCWFjMrMzBpCxSETETdJWgH8VipdHREbihmWmZk1gmofv/ws8GxBYzEzswZTzZyMmZlZVRwyZmZWGIeMmZkVxiFjZmaFcciYmVlhHDJmZlYYh4yZmRXGIWNmZoVxyJiZWWEcMmZmVhiHjJmZFcYhY2ZmhSk0ZCTdLel1SS/kamMlrZS0Ob2Pya1bIGmLpE2SWnP1aZI60rrbJSnVj5H0QKqvlTQp12ZO+o7NkuYU+TvNzKy8ovdk7gFm9qldB6yKiMnAqrSMpNOA2cDpqc0dkoalNncC84DJ6VXqcy6wOyJOBW4Fbkl9jQUWAucC04GF+TAzM7PBUWjIRMQ/AF19ypey/2FnS4BZufr9EfFORGwFtgDTJY0HRkbEmogI4N4+bUp9PQRckvZyWoGVEdEVEbuBlbw/7MzMrGBDMSdzYkTsBEjvJ6R6M7Att932VGtOn/vWe7WJiL3AG8Bx/fT1PpLmSWqX1L5r167D+FlmZtZXLU38q0wt+qkfapvexYjFEdESES3jxo2raKBmZlaZoQiZ19IhMNL766m+HTgpt91EYEeqTyxT79VG0nBgFNnhuQP1ZWZmg2goQmY5UDrbaw7wWK4+O50xdgrZBP8z6ZDaW5LOS/MtV/VpU+rrcmB1mrdpA2ZIGpMm/GekmpmZDaLhRXYu6YfAhcDxkraTnfF1M7BU0lzgVeAKgIjYKGkp8CKwF7g2Ivalrq4hO1OtCViRXgB3AfdJ2kK2BzM79dUl6UZgXdruhojoewKCmZkVrNCQiYjPHWDVJQfY/ibgpjL1duCMMvW3SSFVZt3dwN0VD9bMzAZcLU38m5lZg3HImJlZYRwyZmZWGIeMmZkVxiFjZmaFcciYmVlhHDJmZlYYh4yZmRXGIWNmZoVxyJiZWWEcMmZmVhiHjJmZFcYhY2ZmhXHImJlZYRwyZmZWGIeMmZkVxiFjZmaFcciYmVlhHDJmZlYYh4yZmRXGIWNmZoVxyJiZWWEcMmZmVhiHjJmZFcYhY2ZmhXHImJlZYRwyZmZWGIeMmZkVxiFjZmaFcciYmVlhHDJmZlYYh4yZmRWm4UNG0kxJmyRtkXTdUI/HzOxI0tAhI2kY8B3gt4HTgM9JOm1oR2VmduRo6JABpgNbIuLliHgXuB+4dIjHZGZ2xGj0kGkGtuWWt6faeyTNk9QuqX3Xrl2DOjgzs0bX6CGjMrXotRCxOCJaIqJl3LhxgzQsM7MjQ6OHzHbgpNzyRGDHEI3FzOyI0+ghsw6YLOkUSUcDs4HlQzwms4q9cvOnq6qb1ZrhQz2AIkXEXkl/CLQBw4C7I2LjEA/LrCoOFKtnDR0yABHx98DfD/U4zMyORI1+uMzMzIaQQ8bMzArjkDEzs8I4ZMzMrDCKiINvdYSQtAv4l6Eeh9kBHA/8YqgHYVbGr0VE2avZHTJmdUJSe0S0DPU4zKrhw2VmZlYYh4yZmRXGIWNWPxYP9QDMquU5GTMzK4z3ZMzMrDAOGTMzK4xDxuqKpJB0X255uKRdkh4/jD5vkPTJMvV7JG2V9Fx6/eRQv6NPv1+T9McD0VeV3/v76c+q9HvuHaA+v50+3yPp8gHo8ylJPlW7QTT8XZit4fwbcIakpojoAT4FdB5OhxHxP/pZPT8iHjqc/mvMAxHxh0M9CDtyeE/G6tEKoPSQlc8BPyyt6LuXIOkFSZPS6yVJfyNpo6QnJTWlbar6F3j6jiWpj1ckXSbpLyR1SHpC0oi03SuSbpH0THqdWqavsyX9VNI/S3pU0hhJH5H0bG6byZLWp8/TJD0tab2kNknjU/0j6bvXS/pHSR+t4vfMl7QujeH6XP3zadzPSfqupGGpfrWkn0t6GrigT3efTN//c0m/m7aflGrPptf5ue/4k/Tn9rykm/uM66j05/w/K/0tVnscMlaP7gdmS/oAcCawtsJ2k4HvRMTpQDfwmQraLModXvpBrv4RsqC7FPg+8OOI+BjQw/4ABHgzIqYD3wZuK9P/vcBXI+JMoANYGBH/F3hD0tlpm6uBe1J4fQu4PCKmAXcDN6VtFgNfSvU/Bu44wO/5bO73XC1pRvpzmQ6cDUyT9AlJvwF8FrggIs4G9gFXplC7nixcPgWc1qf/ScC/T38Gf53+G70OfCoizkl93g4g6beBWcC5EXEW8Be5foYDPwB+HhF/doDfYnXAh8us7kTEP0uaRLYXU80D6bZGxHPp83qyvxAP5kCHy1ZExB5JHWRPXX0i1Tv69PvD3Put+Q4kjQJGR8TTqbQEeDB9/lvgaklfIfuLeTowBTgDWCmJ9L07JX0YOB94MNUBjjnA7+l1uEzSXwIzgA2p9GGy0DkTmAasS302kYXFucBTEbErtX8A+He5/pdGxK+AzZJeBj4KbAW+nUJzX277TwLfi4j/BxARXbl+vpv6ugmraw4Zq1fLgb8ELgSOy9X30nsP/QO5z+/kPu8j+4vzUL0DEBG/krQn9l9w9it6//8qDvD5YB4GFgKrgfUR8UtJE4CNEfHx/IaSRgLdaY+jWgK+HhHf7dPnl4AlEbGgT30W/f+OvusC+K/Aa8BZZP9t3s5994H6+glwkaRvRMTbB9jG6oAPl1m9uhu4ISI6+tRfAc4BkHQOcMogj6uvz+be1+RXRMQbwG5Jv5VKXwCeTuveBtqAO4HvpfWbgHGSPg4gaYSk0yPiTWCrpCtSXZLOqnB8bcAfpL0hJDVLOgFYBVyePiNprKRfIzs0eaGk49Lhuyv69HdFmkv5CPDracyjgJ1pD+cLZHtgAE+m7/5g6Tty/dxFtpf6oCT/Y7iO+T+e1aWI2A78VZlVDwNXSXoOWAf8/DC/apGk/JzA9CrbHyNpLdk/6D5XZv0csrmLDwIvk82/lPwAuIzsL2Mi4l1lJyjcng61DSeb59kIXAncmcY6gmze6vmDDS4inkzzL2vSYbF/BT4fES+mvp6UdBSwB7g2In4q6WtkgbkTeJb9oQFZqDwNnAh8MSLelnQH8HAKwR+TnSFIRDyRDqG1S3qXLFT+NDe2b6bfeZ+kK1NIWZ3xbWXMCiLpFaAlIg7pGTDKzpIbFRH/fUAHZjaIvCdjVoMkPUp2BtvFQz0Ws8PhPRkzMyuMJ/7NzKwwDhkzMyuMQ8bMzArjkDEzs8I4ZMzMrDD/H5nMniD0fdMaAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "3992\n"
          ]
        },
        {
          "data": {
            "image/png": 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IqrhxQNIgSS8D2yn8o78KOD0itgGk79PS6c1A9g62zhQrzgOVxruViYj9wLvAKT3UVdq+WZLaJbXv2LHjcJdj1qdmt42jZH1MjhNeINMaRi1J5pvAP0u6WdLNwD8D/+1whSLiQER8EhhDoVfyiR5OLzfSHD3Ej7RMtn0LI6I1IlpHjRrVQ9PM+l77T7vKrl3W/tOu/mmQWY1qmfi/H7gWeIdCr+TqiHighvK7gGcpDFm9k4bASN/b02mdwJmZYmOArSk+pky8WxlJg4FhQFcPdZk1jAdXlT6a1nPcrN7U+kTXG8BjwJPALySd1dPJkkYVbxaQ1ARcmepYAhTv9pqR6iPFp6c7xs6mMMH/QhpS2y1pYppvub6kTLGua4GVad5mGTA53aAwApicYmYNo9Ky/l7u3xpF1Q9jSrqJwt1a71B40l8Uhp8u7KHYaGBRukPsOGBxRDwl6TlgsaSZwNvAdQARsU7SYmA9sB+4MSKKqwrcANwHNAFL0wfgbuABSR0UejDTU11daVhvdTpvfkR4jMHMrA8pqvyLKP0jfunhno1pZK2trdHe3t7fzTD7SMucpysee+vWq/qwJWaVSVoTEa3ljtUyXLaZwp1bZmZmVall7bI3gWclPU3hIUsAIuJbvd4qMzMbEGpJMm+nz/HpY2Zm1qOqk0xEFNcdOyki3s+vSWZWdMLg49i7/9AVl08Y7KX+rTHUsnbZp3t6M6aZ9b7rWsfUFDerN7X8OfRt/GZMsz71j2+UX+qoUtys3vjNmGZ1bMuuPTXFzeqN34xpVsckKPcom98nY43Cb8Y0q2OVnpX2qjLWKKrqyaRlYb4dEV/OuT1mZjaAVNWTSeuHjUrDZGZmZlWpZU7mLeAnkpYAHz0n4yf+zcysklqSzNb0OQ44OZ/mmJnZQOIn/s3MLDd+4t/MzHLjJ/7NzCw3fuLfzMxy4yf+zcwsN37i38zMcnPYnoyk2yLiT4Er/MS/mZnVopqezBckDQHm5t0YMzMbWKqZk/kB8DPgJEnvAQKi+B0RQ3Nsn9kxrfh/tnJxs0ZQTU/mzyNiGPB0RAyNiJOz33k30OxYVmmxZS/CbI2imiTzXPp+r9bKJZ0p6R8lvS5pnaSvpfhIScslbUzfIzJl5krqkLRBUlsmfomktenYHVLhjRqSTpD0cIqvktSSKTMj/cZGSTNqbb+ZmR2dapLM8ekf6M9Iurr0c5iy+4H/GBH/GpgI3CjpPGAOsCIixgIr0j7p2HTgfGAKcGd6zQDAXcAsYGz6TEnxmcDOiDgHuB24LdU1EpgHXApMAOZlk5mZmeWvmiTzhxQSxHDg10s+X+ypYERsi4gX0/ZuCs/VNANTgUXptEXAtLQ9FXgoIvZGxCagA5ggaTQwNCKei4gA7i8pU6zrUWBS6uW0AcsjoisidgLLOZiYzMysDxx24j8ifgz8WFJ7RNx9pD+UhrHGA6uA0yNiW6p/m6TT0mnNwPOZYp0pti9tl8aLZTanuvZLehc4JRsvU8bMzPpANc/JfC4iVgI7yw2PRcRjVdTxceD7wL+PiPdU+QXl5Q5ED/EjLZNt2ywKw3CcddZZldplZmZHoJpbmD8LrKQwPPbRrcuZ7x6TTHrG5vvA9zIJ6R1Jo1MvZjSwPcU7gTMzxcdQeIdNZ9oujWfLdEoaDAwDulL88pIyz5a2LyIWAgsBWltbfdOOmVkvqmZOZrekrwOvZT7rgLVpu6I0N3I38HrJGzSXAMW7vWYAT2bi09MdY2dTmOB/IQ2t7ZY0MdV5fUmZYl3XAivTvM0yYLKkEWnCf3KKmZlZH6mmJ/Px9D0O+BSFf9xFoWfzo8OUvQz4XWCtpJdT7D8DtwKLJc0E3gauA4iIdZIWA+sp3Jl2Y0QUV3q+AbgPaAKWpg8UktgDkjoo9GCmp7q6JN0MrE7nzY+Iriqu18zMeokKf/RXcaL0DHBNuksMSScDj0TEgLljq7W1Ndrb2/u7GWYfaZnzdMVjb916VR+2xKwySWsiorXcsVpWYT4L+CCz/wHQchTtMjOzAa6W98k8ALwg6XEKE/6/ycHnU8zMzA5RdZKJiFskLQV+LYW+EhEv5dMsMzMbCGrpyZCe3n8xp7aYmdkAU8ucjJmZWU2cZMzMLDdOMmZmlhsnGTMzy42TjJmZ5cZJxszMcuMkY2ZmuXGSMTOz3DjJmJlZbpxkzMwsN04yZmaWGycZMzPLjZOMmZnlxknGzMxy4yRjZma5cZIxM7PcOMmYmVlunGTMzCw3TjJmZpYbJxkzM8tNrklG0j2Stkt6LRMbKWm5pI3pe0Tm2FxJHZI2SGrLxC+RtDYdu0OSUvwESQ+n+CpJLZkyM9JvbJQ0I8/rNDOz8vLuydwHTCmJzQFWRMRYYEXaR9J5wHTg/FTmTkmDUpm7gFnA2PQp1jkT2BkR5wC3A7elukYC84BLgQnAvGwyMzOzvpFrkomIHwFdJeGpwKK0vQiYlok/FBF7I2IT0AFMkDQaGBoRz0VEAPeXlCnW9SgwKfVy2oDlEdEVETuB5Rya7MzMLGf9MSdzekRsA0jfp6V4M7A5c15nijWn7dJ4tzIRsR94Fzilh7oOIWmWpHZJ7Tt27DiKyzIzs1L1NPGvMrHoIX6kZboHIxZGRGtEtI4aNaqqhpqZWXX6I8m8k4bASN/bU7wTODNz3hhga4qPKRPvVkbSYGAYheG5SnWZmVkf6o8kswQo3u01A3gyE5+e7hg7m8IE/wtpSG23pIlpvuX6kjLFuq4FVqZ5m2XAZEkj0oT/5BQzM7M+NDjPyiU9CFwOnCqpk8IdX7cCiyXNBN4GrgOIiHWSFgPrgf3AjRFxIFV1A4U71ZqApekDcDfwgKQOCj2Y6amuLkk3A6vTefMjovQGBDMzy1muSSYivlTh0KQK598C3FIm3g58okz8l6QkVebYPcA9VTfWzMx6XT1N/JuZ2QDjJGNmZrlxkjEzs9w4yZiZWW6cZMzMLDdOMmZmlhsnGTMzy42TjJmZ5cZJxszMcuMkY2ZmuXGSMTOz3DjJmJlZbpxkzMwsN04yZmaWGycZMzPLjZOMmZnlxknGzMxy4yRjZma5cZIxM7PcOMmYmVlunGTMzCw3TjJmZpYbJxkzM8uNk4yZmeVmwCcZSVMkbZDUIWlOf7fHzOxYMqCTjKRBwN8C/wY4D/iSpPP6t1VmZseOAZ1kgAlAR0S8GREfAA8BU/u5TWZmx4yBnmSagc2Z/c4U+4ikWZLaJbXv2LGjTxtnZjbQDfQkozKx6LYTsTAiWiOiddSoUX3ULDOzY8NATzKdwJmZ/THA1n5qi5nZMWegJ5nVwFhJZ0s6HpgOLOnnNplV7a1br6opblZvBvd3A/IUEfsl/RGwDBgE3BMR6/q5WWY1cUKxRjagkwxARPwD8A/93Q4zs2PRQB8uMzOzfuQkY2ZmuXGSMTOz3DjJmJlZbhQRhz/rGCFpB/DT/m6HWQWnAj/r70aYlfGvIqLs0+xOMmYNQlJ7RLT2dzvMauHhMjMzy42TjJmZ5cZJxqxxLOzvBpjVynMyZmaWG/dkzMwsN04yZmaWGycZGxAkhaQHMvuDJe2Q9NRR1Dlf0pVl4hMlrZL0sqTXJX3jSH+jpN5WSXf0Qj33SdqU2veypD/upTqvTdtvSTq1F+r8xdHWYfVvwK/CbMeM94FPSGqKiD3A54EtR1NhRPxFhUOLgN+KiFckDQLGVVunpMERsb/C77UD7bW3tKzZEfFoL9VldsTck7GBZClQfPnKl4AHiwckfUPSf8rsvyapJX1el/R3ktZJekZSUzrno7/eS5wGbAOIiAMRsT6df5KkeyStlvSSpKkp/nuSHpH098Azkh6W9IVMW+6TdI2ky4s9L0kfl3SvpLWSXpV0TYpPlvScpBdTnR+v5j9MD20bJGlBir8q6Q9SXJL+RtJ6SU+na86aLemF9Dknlfn11MN7SdIPJZ3e07Vk2nZquia/OGcAcpKxgeQhYLqkE4ELgVVVlhsL/G1EnA/sAq7p+XRuBzZIelzSH6TfA/gzYGVEfAq4Algg6aR07NPAjIj4XGrnbwOkN7ZO4tB3Hv0X4N2IuCAiLgRWpiGqPweujIiLKfR6vl6hjQsyw2UX9NC2mel3PgV8CviqpLOB36TQQ7sA+CrwmZL634uICcDfAN9OsR8DEyNifLrGP6l0LcVKUiJ6GviLiHi6wrVYA/NwmQ0YEfGqpBYKvZhaXlS3KSJeTttrgJbD/M58Sd8DJgP/Nv3e5Wn/NzI9phOBs9L28ojoSttLgTsknQBMAX4UEXskZX/mSgqvCy/+5k5JXwTOA36Szj0eeK5CM7sNl0m6t0LbJgMXZnpswygk3c8CD0bEAWCrpJV092Dm+/a0PQZ4WNLo1LZNla4lbQ4BVgA3RsT/rnAd1uCcZGygWQL8dwr/6J+Sie+ne8/9xMz23sz2AaDpcD8SEf8C3CXp74Adkk4BBFwTERuy50q6lMKcUbHsLyU9C7RR6NE8yKEElD7EJgrJ6kuHa1+F+sq1TcBNEbGsJP6FMr+fFWW2/xr4VkQskXQ58I3Mb5eraz+FpN4GOMkMUB4us4HmHmB+RKwtib8FXAwg6WLg7CP9AUlX6WC3YyyFxLQLWAbcVDwmaXwP1TwEfAX4tVSu1DPAH2V+cwTwPHBZZg7kY5J+tcpmV2rbMuAGSUNS/FfTMNqPKAw9Dko9kytK6vvtzHexNzWMgzdbzDjMtUAh8fw+cK6kOVVehzUYJxkbUCKiMyK+U+bQ94GRkl4GbgD+z1H8zO9SmJN5GXgA+HIaVrqZwhDQq5JeS/uVPENhSOqHEfFBmeP/FRiRblB4BbgiInYAvwc8KOlVCknn3CrbXKlt3wXWAy+m+P+gMMLxOLARWAvcxaE9jRMkrQK+BvyHFPsG8Iikf6L7KwkOuZbigfTfbTpwhaR/V+W1WAPxsjJmZpYb92TMzCw3TjJmZpYbJxkzM8uNk4yZmeXGScbMzHLjJGNmZrlxkjEzs9z8f+k4iFahhL1PAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "2767\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "3\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "2\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "9\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "24\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "7\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "4\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "4\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "77\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "1\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "5\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "20\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "1\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "12\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "3\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "1\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "1\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "3\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "2\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "1\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "1\n"
          ]
        },
        {
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "1\n"
          ]
        }
      ],
      "source": [
        "# See distribution for resolution time for each category\n",
        "\n",
        "# In hindsight, should have used a box plot instead of scatter. \n",
        "# However, it is still clear that the range for resolution time per category is very wide\n",
        "\n",
        "categories = list(dataset[\"category\"].unique())\n",
        "for i in range(len(categories)):\n",
        "    cat = categories[i]\n",
        "    data = dataset[dataset[\"category\"] == cat]\n",
        "    plt.scatter(data[\"category\"], data[\"difference_mins\"])\n",
        "    plt.ylabel(\"difference_mins\")\n",
        "    plt.show()\n",
        "    print(len(data))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "cd89a2a3",
      "metadata": {
        "id": "cd89a2a3"
      },
      "outputs": [],
      "source": [
        "# Extract unique categories in the dataset\n",
        "categories = list(dataset[\"category\"].unique())"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "848d3771",
      "metadata": {
        "id": "848d3771",
        "outputId": "f7b61e6f-1654-4f1f-9618-a0a89a299be8"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Street and Sidewalk Cleaning 252114\n",
            "Parking Enforcement 53743\n",
            "Damaged Property 5459\n",
            "Noise Report 1818\n",
            "Blocked Street or SideWalk 2741\n",
            "Sign Repair 7478\n",
            "General Request - PUBLIC WORKS 16262\n",
            "Graffiti 42973\n",
            "Sidewalk or Curb 3902\n",
            "Encampments 6456\n",
            "Catch Basin Maintenance 281\n",
            "Tree Maintenance 4899\n",
            "Rec and Park Requests 6644\n",
            "Sewer Issues 6597\n",
            "Litter Receptacles 7192\n",
            "General Request - PUC 748\n",
            "Street Defects 2320\n",
            "General Request - MTA 2150\n",
            "Streetlights 2369\n",
            "311 External Request 195\n",
            "Illegal Postings 13750\n",
            "General Request - DPH 206\n",
            "DPW Volunteer Programs 43\n",
            "Abandoned Vehicle 50\n",
            "MUNI Feedback 153\n",
            "Residential Building Request 193\n",
            "General Request - ANIMAL CARE CONTROL 76\n",
            "General Request - RPD 91\n",
            "General Request - ASSESSOR RECORDER 1621\n",
            "General Request - ENVIRONMENT 5\n",
            "General Request - COUNTY CLERK 98\n",
            "General Request - 311CUSTOMERSERVICECENTER 17\n",
            "General Request - HUMAN SERVICES AGENCY 18\n",
            "General Request - MONS 43\n",
            "General Request - BUILDING INSPECTION 198\n",
            "General Request - PORT AUTHORITY 11\n",
            "Homeless Concerns 24\n",
            "General Request - 15\n",
            "General Request - BOARD OF SUPERVISORS 24\n",
            "General Request - PLANNING 31\n",
            "General Request - LABOR STANDARDS ENFORCEMENT 1\n",
            "General Request - ECONOMICS AND WORKFORCE DEVELOPMENT 24\n",
            "General Request - SFPD 2163\n",
            "General Request - MOD 13\n",
            "General Request - CITY HALL 1\n",
            "General Request - MOH 10\n",
            "General Request - FILM COMMISSION 4\n",
            "Muni Employee Feedback 3992\n",
            "Muni Service Feedback 2767\n",
            "General Request - LIBRARY PUBLIC 3\n",
            "General Request - TIDA 2\n",
            "General Request - DISTRICT ATTORNEY 9\n",
            "General Request - RENT BOARD 24\n",
            "General Request - SHORT TERM RENTALS 7\n",
            "General Request - CONTROLLER 4\n",
            "General Request - MOCD 4\n",
            "Temporary Sign Request 77\n",
            "General Request - REAL ESTATE DEPARTMENT 1\n",
            "General Request - ELECTIONS 5\n",
            "General Request - SMALL BUSINESS 20\n",
            "General Request - OCC 1\n",
            "General Request - ENTERTAINMENT COMMISSION 12\n",
            "SFHA Requests 3\n",
            "General Request - ART COMMISSION 1\n",
            "General Request - HSH 1\n",
            "General Request - FIRE DEPARTMENT 3\n",
            "General Request - TT COLLECTOR 2\n",
            "General Request - BOARD OF APPEALS 1\n",
            "General Request - CHILDREN YOUTH FAMILIES 1\n",
            "General Request - DTIS 1\n"
          ]
        }
      ],
      "source": [
        "# Get number of calls per category\n",
        "\n",
        "for i in range(len(categories)):\n",
        "    cat = categories[i]\n",
        "    count = len(dataset[dataset[\"category\"] == cat])\n",
        "    print(cat, count)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "ad98f670",
      "metadata": {
        "id": "ad98f670",
        "outputId": "dcc474d4-5154-452d-ede3-8aa8fe2e03df"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "1 42820\n",
            "2 28915\n",
            "3 45039\n",
            "4 22244\n",
            "5 60731\n",
            "6 51066\n",
            "7 17038\n",
            "8 47084\n",
            "9 61478\n",
            "10 47742\n",
            "11 28008\n"
          ]
        }
      ],
      "source": [
        "# Get number of calls from each supervisor district\n",
        "\n",
        "supervisor_dist = sorted(list(dataset[\"sup_district\"].unique()))\n",
        "for i in range(len(supervisor_dist)):\n",
        "    sup = supervisor_dist[i]\n",
        "    count = len(dataset[dataset[\"sup_district\"] == sup])\n",
        "    print(sup, count)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "d3f324ed",
      "metadata": {
        "id": "d3f324ed",
        "outputId": "ed9c22b6-30e2-45ef-e3b3-e30d659efe51"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Mean Time Difference\n",
            "1 10192.27669313405 \n",
            "\n",
            "Education below HS\n",
            "1 ['22%'] \n",
            "\n",
            "Poverty level\n",
            "1 ['11%'] \n",
            "\n",
            "Median Household Income\n",
            "1 ['$83,215 '] \n",
            "\n",
            "Mean Time Difference\n",
            "2 9516.162649144042 \n",
            "\n",
            "Education below HS\n",
            "2 ['7%'] \n",
            "\n",
            "Poverty level\n",
            "2 ['6%'] \n",
            "\n",
            "Median Household Income\n",
            "2 ['$128,633 '] \n",
            "\n",
            "Mean Time Difference\n",
            "3 9185.275894225006 \n",
            "\n",
            "Education below HS\n",
            "3 ['30%'] \n",
            "\n",
            "Poverty level\n",
            "3 ['17%'] \n",
            "\n",
            "Median Household Income\n",
            "3 ['$59,111 '] \n",
            "\n",
            "Mean Time Difference\n",
            "4 13769.882709944255 \n",
            "\n",
            "Education below HS\n",
            "4 ['28%'] \n",
            "\n",
            "Poverty level\n",
            "4 ['10%'] \n",
            "\n",
            "Median Household Income\n",
            "4 ['$88,801 '] \n",
            "\n",
            "Mean Time Difference\n",
            "5 9821.505442031252 \n",
            "\n",
            "Education below HS\n",
            "5 ['14%'] \n",
            "\n",
            "Poverty level\n",
            "5 ['13%'] \n",
            "\n",
            "Median Household Income\n",
            "5 ['$91,055 '] \n",
            "\n",
            "Mean Time Difference\n",
            "6 10387.12634629695 \n",
            "\n",
            "Education below HS\n",
            "6 ['29%'] \n",
            "\n",
            "Poverty level\n",
            "6 ['23%'] \n",
            "\n",
            "Median Household Income\n",
            "6 ['$54,819 '] \n",
            "\n",
            "Mean Time Difference\n",
            "7 14019.757483272684 \n",
            "\n",
            "Education below HS\n",
            "7 ['15%'] \n",
            "\n",
            "Poverty level\n",
            "7 ['10%'] \n",
            "\n",
            "Median Household Income\n",
            "7 ['$115,552 '] \n",
            "\n",
            "Mean Time Difference\n",
            "8 11784.470287146376 \n",
            "\n",
            "Education below HS\n",
            "8 ['9%'] \n",
            "\n",
            "Poverty level\n",
            "8 ['7%'] \n",
            "\n",
            "Median Household Income\n",
            "8 ['$121,250 '] \n",
            "\n",
            "Mean Time Difference\n",
            "9 7910.663261654576 \n",
            "\n",
            "Education below HS\n",
            "9 ['35%'] \n",
            "\n",
            "Poverty level\n",
            "9 ['12%'] \n",
            "\n",
            "Median Household Income\n",
            "9 ['$83,839 '] \n",
            "\n",
            "Mean Time Difference\n",
            "10 9495.623978886515 \n",
            "\n",
            "Education below HS\n",
            "10 ['42%'] \n",
            "\n",
            "Poverty level\n",
            "10 ['16%'] \n",
            "\n",
            "Median Household Income\n",
            "10 ['$69,915 '] \n",
            "\n",
            "Mean Time Difference\n",
            "11 7031.213153384747 \n",
            "\n",
            "Education below HS\n",
            "11 ['44%'] \n",
            "\n",
            "Poverty level\n",
            "11 ['10%'] \n",
            "\n",
            "Median Household Income\n",
            "11 ['$75,276 '] \n",
            "\n"
          ]
        }
      ],
      "source": [
        "# Get mean resolution time, % of residents with education below high school, poverty level, and median household income \n",
        "# Per supervisor district\n",
        "\n",
        "for i in range(len(supervisor_dist)):\n",
        "    sup = supervisor_dist[i]\n",
        "    data = dataset[dataset[\"sup_district\"] == sup]\n",
        "    eduHS = data[\"eduHS\"].unique()\n",
        "    pov_lvl = data[\"percent_pov\"].unique()\n",
        "    income = data[\"median_hInc\"].unique()\n",
        "    mean_time_diff = data[\"difference_mins\"].mean()\n",
        "    print(\"Mean Time Difference\")\n",
        "    print(sup, mean_time_diff, \"\\n\")\n",
        "    print(\"Education below HS\")\n",
        "    print(sup, eduHS, \"\\n\")\n",
        "    print(\"Poverty level\")\n",
        "    print(sup, pov_lvl, \"\\n\")\n",
        "    print(\"Median Household Income\")\n",
        "    print(sup, income, \"\\n\")\n",
        "    "
      ]
    }
  ],
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