NHL_Causal_Inference.ipynb

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      "source": [
        "# Data import"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "id": "2333ca09",
      "metadata": {
        "id": "2333ca09"
      },
      "outputs": [],
      "source": [
        "import pandas as pd\n",
        "import numpy as np\n",
        "from matplotlib import pyplot as plt\n",
        "import seaborn as sns"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "id": "2bd675df",
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              "      <th></th>\n",
              "      <th>won</th>\n",
              "      <th>pim</th>\n",
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              "      <th>faceOffWinPercentage</th>\n",
              "      <th>shots</th>\n",
              "      <th>goals</th>\n",
              "      <th>takeaways</th>\n",
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              "      <th>giveaways</th>\n",
              "      <th>missedShots</th>\n",
              "      <th>penalties</th>\n",
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              "      <th>powerPlayTimeOnIce</th>\n",
              "      <th>hoa_away</th>\n",
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              "      <th>settledIn_OT</th>\n",
              "      <th>settledIn_REG</th>\n",
              "      <th>startRinkSide_left</th>\n",
              "      <th>startRinkSide_right</th>\n",
              "      <th>goalieReplacement_No</th>\n",
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            "text/plain": [
              "   won   pim  powerPlayGoals  faceOffWinPercentage  shots  goals  takeaways  \\\n",
              "0    0  2.00             1.0                  50.9    8.0    0.0        1.0   \n",
              "1    1  2.67             1.0                  49.1    8.0    3.0        3.0   \n",
              "2    1  2.00             0.0                  43.8   11.0    0.0        0.0   \n",
              "3    0  2.67             0.0                  56.2   12.0    1.0        2.0   \n",
              "4    1  3.00             0.0                  45.7    9.0    0.0        3.0   \n",
              "\n",
              "   hits  blockedShots  giveaways  missedShots  penalties  timeOnIce  \\\n",
              "0  14.0           3.0        6.0          4.0        1.0     330.28   \n",
              "1   5.0           3.0        7.0          0.0        1.0     327.11   \n",
              "2   4.0           6.0        2.0          6.0        1.0     334.07   \n",
              "3   4.0           8.0        0.0          3.0        3.0     333.07   \n",
              "4   4.0           7.0        7.0          3.0        2.0     328.89   \n",
              "\n",
              "   evenTimeOnIce  shortHandedTimeOnIce  powerPlayTimeOnIce  hoa_away  \\\n",
              "0         280.46                 18.52               31.30         1   \n",
              "1         278.93                 25.04               23.15         0   \n",
              "2         293.20                  9.48               31.39         1   \n",
              "3         296.11                 25.11               11.85         0   \n",
              "4         281.57                 17.78               29.54         1   \n",
              "\n",
              "   hoa_home  settledIn_OT  settledIn_REG  startRinkSide_left  \\\n",
              "0         0             0              1                   1   \n",
              "1         1             0              1                   1   \n",
              "2         0             1              0                   0   \n",
              "3         1             1              0                   0   \n",
              "4         0             0              1                   1   \n",
              "\n",
              "   startRinkSide_right  goalieReplacement_No  goalieReplacement_Yes  \n",
              "0                    0                     0                      1  \n",
              "1                    0                     1                      0  \n",
              "2                    1                     1                      0  \n",
              "3                    1                     1                      0  \n",
              "4                    0                     1                      0  "
            ]
          },
          "metadata": {},
          "execution_count": 2
        }
      ],
      "source": [
        "pd.set_option('display.max_columns', None) # Show all the columns\n",
        "df = pd.read_csv('/content/readyformodel_V2.1.csv')\n",
        "df.head()"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "4d8b633f",
      "metadata": {
        "id": "4d8b633f"
      },
      "source": [
        "# CausalML\n",
        "\n",
        "## Import packages"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "id": "a5021208",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "a5021208",
        "outputId": "8f0fbe23-e14a-4016-fb86-1dfc3bec5058"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Requirement already satisfied: causalml in /usr/local/lib/python3.7/dist-packages (0.12.2)\n",
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          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/statsmodels/tools/_testing.py:19: FutureWarning: pandas.util.testing is deprecated. Use the functions in the public API at pandas.testing instead.\n",
            "  import pandas.util.testing as tm\n"
          ]
        }
      ],
      "source": [
        "!pip install causalml\n",
        "import scipy.stats\n",
        "from sklearn.ensemble import RandomForestRegressor, GradientBoostingRegressor\n",
        "from sklearn.linear_model import LinearRegression\n",
        "from sklearn.tree import DecisionTreeRegressor\n",
        "\n",
        "from xgboost import XGBRegressor\n",
        "from lightgbm import LGBMRegressor\n",
        "\n",
        "from causalml.inference.meta import BaseSRegressor, BaseTRegressor, BaseXRegressor, BaseRRegressor\n",
        "from causalml.inference.tree import UpliftTreeClassifier, UpliftRandomForestClassifier\n",
        "\n",
        "\n",
        "from causalml.inference.meta import LRSRegressor\n",
        "from causalml.inference.meta import XGBTRegressor\n",
        "from causalml.inference.meta import BaseSRegressor\n",
        "\n",
        "import shap\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "import time\n",
        "from causalml.metrics import *\n",
        "from sklearn.model_selection import train_test_split\n",
        "\n",
        "%load_ext autoreload\n",
        "%autoreload 2\n",
        "%matplotlib inline"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "id": "33390af8",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "33390af8",
        "outputId": "f52b9edc-d52b-4a50-b844-372ca22cd53d"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0.12.2\n"
          ]
        }
      ],
      "source": [
        "import causalml\n",
        "print(causalml.__version__)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "id": "27c172ff",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "27c172ff",
        "outputId": "0e6f1247-4d42-4e1f-95cc-c6b5bfc5c219"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "1.0.2\n"
          ]
        }
      ],
      "source": [
        "# check scikit-learn version\n",
        "import sklearn\n",
        "print(sklearn.__version__)"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "867739e1",
      "metadata": {
        "id": "867739e1"
      },
      "source": [
        "## Identify treatment, x, y variables"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "id": "1f8da1f3",
      "metadata": {
        "id": "1f8da1f3"
      },
      "outputs": [],
      "source": [
        "# Target variable (y)\n",
        "y = df['won']"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "id": "59c05c21",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 483
        },
        "id": "59c05c21",
        "outputId": "164dea1a-a929-41ee-e538-ebe7568438c1"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "\n",
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              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
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              "        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>pim</th>\n",
              "      <th>powerPlayGoals</th>\n",
              "      <th>faceOffWinPercentage</th>\n",
              "      <th>shots</th>\n",
              "      <th>goals</th>\n",
              "      <th>takeaways</th>\n",
              "      <th>hits</th>\n",
              "      <th>blockedShots</th>\n",
              "      <th>giveaways</th>\n",
              "      <th>missedShots</th>\n",
              "      <th>penalties</th>\n",
              "      <th>timeOnIce</th>\n",
              "      <th>evenTimeOnIce</th>\n",
              "      <th>shortHandedTimeOnIce</th>\n",
              "      <th>powerPlayTimeOnIce</th>\n",
              "      <th>hoa_away</th>\n",
              "      <th>settledIn_OT</th>\n",
              "      <th>settledIn_REG</th>\n",
              "      <th>startRinkSide_left</th>\n",
              "      <th>startRinkSide_right</th>\n",
              "      <th>goalieReplacement_No</th>\n",
              "      <th>goalieReplacement_Yes</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>2.00</td>\n",
              "      <td>1.0</td>\n",
              "      <td>50.9</td>\n",
              "      <td>8.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>1.0</td>\n",
              "      <td>14.0</td>\n",
              "      <td>3.0</td>\n",
              "      <td>6.0</td>\n",
              "      <td>4.0</td>\n",
              "      <td>1.0</td>\n",
              "      <td>330.28</td>\n",
              "      <td>280.46</td>\n",
              "      <td>18.52</td>\n",
              "      <td>31.30</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
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              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>2.67</td>\n",
              "      <td>1.0</td>\n",
              "      <td>49.1</td>\n",
              "      <td>8.0</td>\n",
              "      <td>3.0</td>\n",
              "      <td>3.0</td>\n",
              "      <td>5.0</td>\n",
              "      <td>3.0</td>\n",
              "      <td>7.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>1.0</td>\n",
              "      <td>327.11</td>\n",
              "      <td>278.93</td>\n",
              "      <td>25.04</td>\n",
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              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>2.00</td>\n",
              "      <td>0.0</td>\n",
              "      <td>43.8</td>\n",
              "      <td>11.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>4.0</td>\n",
              "      <td>6.0</td>\n",
              "      <td>2.0</td>\n",
              "      <td>6.0</td>\n",
              "      <td>1.0</td>\n",
              "      <td>334.07</td>\n",
              "      <td>293.20</td>\n",
              "      <td>9.48</td>\n",
              "      <td>31.39</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>2.67</td>\n",
              "      <td>0.0</td>\n",
              "      <td>56.2</td>\n",
              "      <td>12.0</td>\n",
              "      <td>1.0</td>\n",
              "      <td>2.0</td>\n",
              "      <td>4.0</td>\n",
              "      <td>8.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>3.0</td>\n",
              "      <td>3.0</td>\n",
              "      <td>333.07</td>\n",
              "      <td>296.11</td>\n",
              "      <td>25.11</td>\n",
              "      <td>11.85</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>3.00</td>\n",
              "      <td>0.0</td>\n",
              "      <td>45.7</td>\n",
              "      <td>9.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>3.0</td>\n",
              "      <td>4.0</td>\n",
              "      <td>7.0</td>\n",
              "      <td>7.0</td>\n",
              "      <td>3.0</td>\n",
              "      <td>2.0</td>\n",
              "      <td>328.89</td>\n",
              "      <td>281.57</td>\n",
              "      <td>17.78</td>\n",
              "      <td>29.54</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
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              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>...</th>\n",
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              "    <tr>\n",
              "      <th>51552</th>\n",
              "      <td>6.67</td>\n",
              "      <td>0.0</td>\n",
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              "      <td>18.0</td>\n",
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              "      <td>8.0</td>\n",
              "      <td>8.0</td>\n",
              "      <td>10.0</td>\n",
              "      <td>4.0</td>\n",
              "      <td>330.94</td>\n",
              "      <td>272.09</td>\n",
              "      <td>14.41</td>\n",
              "      <td>44.44</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>51553</th>\n",
              "      <td>0.67</td>\n",
              "      <td>0.0</td>\n",
              "      <td>49.0</td>\n",
              "      <td>4.0</td>\n",
              "      <td>4.0</td>\n",
              "      <td>4.0</td>\n",
              "      <td>28.0</td>\n",
              "      <td>18.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>4.0</td>\n",
              "      <td>2.0</td>\n",
              "      <td>331.11</td>\n",
              "      <td>322.22</td>\n",
              "      <td>8.89</td>\n",
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              "      <td>0</td>\n",
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              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
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              "    <tr>\n",
              "      <th>51555</th>\n",
              "      <td>0.67</td>\n",
              "      <td>0.0</td>\n",
              "      <td>49.0</td>\n",
              "      <td>4.0</td>\n",
              "      <td>4.0</td>\n",
              "      <td>4.0</td>\n",
              "      <td>28.0</td>\n",
              "      <td>18.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>4.0</td>\n",
              "      <td>2.0</td>\n",
              "      <td>331.11</td>\n",
              "      <td>322.22</td>\n",
              "      <td>8.89</td>\n",
              "      <td>0.00</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
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              "    <tr>\n",
              "      <th>51556</th>\n",
              "      <td>0.00</td>\n",
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              "      <td>51.0</td>\n",
              "      <td>24.0</td>\n",
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              "      <td>10.0</td>\n",
              "      <td>22.0</td>\n",
              "      <td>4.0</td>\n",
              "      <td>10.0</td>\n",
              "      <td>2.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>337.15</td>\n",
              "      <td>326.04</td>\n",
              "      <td>0.00</td>\n",
              "      <td>11.11</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>51557 rows × 22 columns</p>\n",
              "</div>\n",
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            ],
            "text/plain": [
              "        pim  powerPlayGoals  faceOffWinPercentage  shots  goals  takeaways  \\\n",
              "0      2.00             1.0                  50.9    8.0    0.0        1.0   \n",
              "1      2.67             1.0                  49.1    8.0    3.0        3.0   \n",
              "2      2.00             0.0                  43.8   11.0    0.0        0.0   \n",
              "3      2.67             0.0                  56.2   12.0    1.0        2.0   \n",
              "4      3.00             0.0                  45.7    9.0    0.0        3.0   \n",
              "...     ...             ...                   ...    ...    ...        ...   \n",
              "51552  6.67             0.0                  58.7   18.0    0.0       12.0   \n",
              "51553  0.67             0.0                  49.0    4.0    4.0        4.0   \n",
              "51554  0.00             0.0                  51.0   24.0    0.0       10.0   \n",
              "51555  0.67             0.0                  49.0    4.0    4.0        4.0   \n",
              "51556  0.00             0.0                  51.0   24.0    0.0       10.0   \n",
              "\n",
              "       hits  blockedShots  giveaways  missedShots  penalties  timeOnIce  \\\n",
              "0      14.0           3.0        6.0          4.0        1.0     330.28   \n",
              "1       5.0           3.0        7.0          0.0        1.0     327.11   \n",
              "2       4.0           6.0        2.0          6.0        1.0     334.07   \n",
              "3       4.0           8.0        0.0          3.0        3.0     333.07   \n",
              "4       4.0           7.0        7.0          3.0        2.0     328.89   \n",
              "...     ...           ...        ...          ...        ...        ...   \n",
              "51552  18.0           8.0        8.0         10.0        4.0     330.94   \n",
              "51553  28.0          18.0        0.0          4.0        2.0     331.11   \n",
              "51554  22.0           4.0       10.0          2.0        0.0     337.15   \n",
              "51555  28.0          18.0        0.0          4.0        2.0     331.11   \n",
              "51556  22.0           4.0       10.0          2.0        0.0     337.15   \n",
              "\n",
              "       evenTimeOnIce  shortHandedTimeOnIce  powerPlayTimeOnIce  hoa_away  \\\n",
              "0             280.46                 18.52               31.30         1   \n",
              "1             278.93                 25.04               23.15         0   \n",
              "2             293.20                  9.48               31.39         1   \n",
              "3             296.11                 25.11               11.85         0   \n",
              "4             281.57                 17.78               29.54         1   \n",
              "...              ...                   ...                 ...       ...   \n",
              "51552         272.09                 14.41               44.44         0   \n",
              "51553         322.22                  8.89                0.00         1   \n",
              "51554         326.04                  0.00               11.11         0   \n",
              "51555         322.22                  8.89                0.00         1   \n",
              "51556         326.04                  0.00               11.11         0   \n",
              "\n",
              "       settledIn_OT  settledIn_REG  startRinkSide_left  startRinkSide_right  \\\n",
              "0                 0              1                   1                    0   \n",
              "1                 0              1                   1                    0   \n",
              "2                 1              0                   0                    1   \n",
              "3                 1              0                   0                    1   \n",
              "4                 0              1                   1                    0   \n",
              "...             ...            ...                 ...                  ...   \n",
              "51552             0              1                   0                    1   \n",
              "51553             0              1                   0                    1   \n",
              "51554             0              1                   0                    1   \n",
              "51555             0              1                   0                    1   \n",
              "51556             0              1                   0                    1   \n",
              "\n",
              "       goalieReplacement_No  goalieReplacement_Yes  \n",
              "0                         0                      1  \n",
              "1                         1                      0  \n",
              "2                         1                      0  \n",
              "3                         1                      0  \n",
              "4                         1                      0  \n",
              "...                     ...                    ...  \n",
              "51552                     1                      0  \n",
              "51553                     1                      0  \n",
              "51554                     1                      0  \n",
              "51555                     1                      0  \n",
              "51556                     1                      0  \n",
              "\n",
              "[51557 rows x 22 columns]"
            ]
          },
          "metadata": {},
          "execution_count": 7
        }
      ],
      "source": [
        "# Control variables (X)\n",
        "X = df.copy()\n",
        "X = X.drop(columns = ['won', 'hoa_home'])\n",
        "X"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Define a function that will label for treatment\n",
        "def treat(df):\n",
        "    if df['hoa_home'] == 1:\n",
        "        return 1\n",
        "    return 0\n",
        "df['Treatment'] = df.apply(lambda df: treat(df), axis=1)\n",
        "\n",
        "# define treatment\n",
        "treatment = df['Treatment']"
      ],
      "metadata": {
        "id": "dvAINbx2KLKx"
      },
      "id": "dvAINbx2KLKx",
      "execution_count": 8,
      "outputs": []
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "id": "1fc2bd5b",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "1fc2bd5b",
        "outputId": "31ff0e47-eab4-4e6e-f62b-f95a1a84936d"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.547240    26376\n",
              "0.547834    25181\n",
              "Name: propensity, dtype: int64"
            ]
          },
          "metadata": {},
          "execution_count": 9
        }
      ],
      "source": [
        "# Propensity calculation\n",
        "n_wins = len(df[df[\"won\"]==1])\n",
        "n_treated_H = len(df[(df[\"won\"]==1) & (df[\"Treatment\"]==1)])\n",
        "e_wins = n_treated_H/n_wins\n",
        "\n",
        "n_loses = len(df[df[\"won\"]==0])\n",
        "n_treated_A = len(df[(df[\"won\"]==0) & (df[\"Treatment\"]==0)])\n",
        "e_loses = n_treated_A/n_loses\n",
        "\n",
        "df[\"propensity\"] = df[\"won\"]*e_wins + (1-df[\"won\"])*e_loses\n",
        "df[\"propensity\"].value_counts()"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "df.Treatment = df.Treatment.replace({1:\"treatment_A\",0:\"control\"})\n",
        "df.Treatment"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "p-3KJcBlRmCT",
        "outputId": "e3c21c2b-0c89-47b2-af0c-78fd54c85a47"
      },
      "id": "p-3KJcBlRmCT",
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0            control\n",
              "1        treatment_A\n",
              "2            control\n",
              "3        treatment_A\n",
              "4            control\n",
              "            ...     \n",
              "51552    treatment_A\n",
              "51553        control\n",
              "51554    treatment_A\n",
              "51555        control\n",
              "51556    treatment_A\n",
              "Name: Treatment, Length: 51557, dtype: object"
            ]
          },
          "metadata": {},
          "execution_count": 10
        }
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "id": "605da83e",
      "metadata": {
        "id": "605da83e"
      },
      "outputs": [],
      "source": [
        "# w_multi\n",
        "w_multi = df.Treatment"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "id": "8057054a",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "8057054a",
        "outputId": "4520864e-ab8d-4f2e-b915-4c519702ac37"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "['pim',\n",
              " 'powerPlayGoals',\n",
              " 'faceOffWinPercentage',\n",
              " 'shots',\n",
              " 'goals',\n",
              " 'takeaways',\n",
              " 'hits',\n",
              " 'blockedShots',\n",
              " 'giveaways',\n",
              " 'missedShots',\n",
              " 'penalties',\n",
              " 'timeOnIce',\n",
              " 'evenTimeOnIce',\n",
              " 'shortHandedTimeOnIce',\n",
              " 'powerPlayTimeOnIce',\n",
              " 'hoa_away',\n",
              " 'settledIn_OT',\n",
              " 'settledIn_REG',\n",
              " 'startRinkSide_left',\n",
              " 'startRinkSide_right',\n",
              " 'goalieReplacement_No',\n",
              " 'goalieReplacement_Yes']"
            ]
          },
          "metadata": {},
          "execution_count": 12
        }
      ],
      "source": [
        "# Feature name\n",
        "feature_names = []\n",
        "for col in X.columns:\n",
        "    feature_names.append(col)\n",
        "feature_names"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "5ba10805",
      "metadata": {
        "id": "5ba10805"
      },
      "source": [
        "## Modelling\n",
        "\n",
        "### LRSRegressor with SLearner, \"auto\" method"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "id": "a4d5563d",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "a4d5563d",
        "outputId": "4b83110d-62df-4a0b-abfe-ac3266362506"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([0.05487153])"
            ]
          },
          "metadata": {},
          "execution_count": 13
        }
      ],
      "source": [
        "# SLearner & Auto\n",
        "# Ready-to-use S-Learner using LinearRegression\n",
        "# Implementing S Learner \n",
        "base_algo = LGBMRegressor()\n",
        "slearner = BaseSRegressor(base_algo, control_name='control')\n",
        "slearner.estimate_ate(X, w_multi, y)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "id": "3f396a26",
      "metadata": {
        "id": "3f396a26"
      },
      "outputs": [],
      "source": [
        "# Implementing Prediction based on model\n",
        "slearner_tau = slearner.fit_predict(X, w_multi, y)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "id": "e9692d05",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "e9692d05",
        "outputId": "1346fe9e-0059-4688-f301-0e5c371facf2"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{'treatment_A': timeOnIce                0.452153\n",
              " pim                      0.130331\n",
              " goals                    0.101308\n",
              " goalieReplacement_No     0.060621\n",
              " shortHandedTimeOnIce     0.051885\n",
              " powerPlayTimeOnIce       0.051859\n",
              " powerPlayGoals           0.049997\n",
              " settledIn_OT             0.031367\n",
              " hits                     0.023479\n",
              " penalties                0.013570\n",
              " evenTimeOnIce            0.011443\n",
              " faceOffWinPercentage     0.005700\n",
              " giveaways                0.004771\n",
              " takeaways                0.004422\n",
              " blockedShots             0.003335\n",
              " shots                    0.002300\n",
              " missedShots              0.000538\n",
              " startRinkSide_left       0.000511\n",
              " goalieReplacement_Yes    0.000411\n",
              " hoa_away                 0.000000\n",
              " settledIn_REG            0.000000\n",
              " startRinkSide_right      0.000000\n",
              " dtype: float64}"
            ]
          },
          "metadata": {},
          "execution_count": 15
        }
      ],
      "source": [
        "slearner.get_importance(X=X, \n",
        "                        tau=slearner_tau,\n",
        "                        normalize=True, \n",
        "                        method='auto', \n",
        "                        features=feature_names)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "id": "4a0c47c0",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 496
        },
        "id": "4a0c47c0",
        "outputId": "1a838dd4-5b3c-4f93-e108-a9aac70529b8"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "# Auto feature importance plot from Github example.\n",
        "slearner.plot_importance(X=X,\n",
        "                        tau=slearner_tau,\n",
        "                        normalize = True,\n",
        "                        method = 'auto',\n",
        "                        features = feature_names)"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "c33c292e",
      "metadata": {
        "id": "c33c292e"
      },
      "source": [
        "### LRSRegressor with SLearner, \"permutation\" method"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "id": "898f2da0",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "898f2da0",
        "outputId": "ccd56855-bd70-4c2e-e5ed-18ae9eda62ad"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{'treatment_A': timeOnIce                0.729939\n",
              " pim                      0.317809\n",
              " goals                    0.253414\n",
              " settledIn_OT             0.150585\n",
              " goalieReplacement_No     0.136121\n",
              " shortHandedTimeOnIce     0.113340\n",
              " powerPlayGoals           0.099970\n",
              " powerPlayTimeOnIce       0.094785\n",
              " hits                     0.043961\n",
              " penalties                0.032318\n",
              " evenTimeOnIce            0.021156\n",
              " faceOffWinPercentage     0.008679\n",
              " blockedShots             0.006754\n",
              " giveaways                0.006610\n",
              " takeaways                0.005790\n",
              " shots                    0.002989\n",
              " settledIn_REG            0.001152\n",
              " startRinkSide_left       0.000654\n",
              " missedShots              0.000436\n",
              " hoa_away                 0.000006\n",
              " startRinkSide_right      0.000000\n",
              " goalieReplacement_Yes    0.000000\n",
              " dtype: float64}"
            ]
          },
          "metadata": {},
          "execution_count": 17
        }
      ],
      "source": [
        "# Permutation method\n",
        "slearner.get_importance(X=X, \n",
        "                        tau=slearner_tau, \n",
        "                        method='permutation', \n",
        "                        features=feature_names, \n",
        "                        random_state=42)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "id": "1a405f8b",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 496
        },
        "id": "1a405f8b",
        "outputId": "90ca67e2-77e2-4163-fef2-a0a13c406e60"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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AJF8EHreKMb7Sfl8KzJ3i+aUZs7p/cLpuZGRk1l/DIDAP3WAeusNcdIN56AbzMLH1urirquuSPAVYALwX+C5wVVXtvhbDBji5qt76J43JC6cwxvL2ewUT5+hqeoXk1/vadgaumsK5JEmSJA2A9f2Zu0cAt1XV54D305tde2iS3dv+jZKMLXFcBvR/idf4z2O+A+yf5GFtjK2SbAtcCPxVkgcn2Qh4yTRcwkeBg5LMb+d6MHAs8L5pGFuSJEnSLLJez9wBTwTen+Ru4C7gEOCPwIfb83cbAh+iNxN2EvDxJLcDuwMnAGcm+WVVPX1swKq6OsnbgbOTbNDGPbSqfpTkKOCHwM3AorUNvqp+leRlwCeTbElv1vBDVfWNtR1bkiRJ0uySqprpGDRDRkdHTX5HuH68G8xDN5iHbjAP3WEuusE8dIN5uNfQ0FDGt63XyzIlSZIkaVCs78syZ4Ukf03vWbp+11fVi2YiHkmSJEndY3E3C1TVWcBZMx2HJEmSpO5yWaYkSZIkDQCLO0mSJEkaABZ3kiRJkjQALO4kSZIkaQBY3EmSJEnSAPBtmQLgjKXLZjqE9ducbRjpUA4WzNtypkOQJEnSFDlzJ0mSJEkDwOJOkiRJkgbAjBR3SY5KckTbfk+SfVfT/6Qk1ydZlGRxkmeuxblvSPKQNT3+/pJkbpKXrqbPPkkqyfP72k5Pss86D1CSJElSp8z4zF1VvbOqvj2Jrm+uqvnAG4GPr+OwumAuMGFx1/wceNu6DUWSJElS1035hSpJ3gG8DLgR+BlwKfBtegXXZsBPgVdV1U1JXgMcDDwA+Anw8qq6bdx4JwGnV9WXkuwMfADYAvgdcFBV/WpcCD8E/rwdOwc4BtgH2Bj4aFV9os1cvQdYBjwWOBd4fVXdPe7cXwP+AtgE+D9VdUJrfw7wv4E5wO+q6plJNgc+AuwIbAQcVVVfT3IQ8EJgc2AY+Pd2vS8HlgMLqur3SR4DfBR4KHAb8Jqq+nG7/luAXYBtgH+pqi+163pCkkXAyVX1wVWkZDGwUZJnVdU5467vmS2eDYGLgUOqavkqxpHuMTIyMtMhzJj1+dq7xDx0g3noDnPRDeahG9bnPAwPD0+4f0rFXZJdgRcDO9ErcC6jV9x9Bjisqs5P8h7gXfRm2L5SVZ9sx74XeDW9AmllY2/U9u1XVTcmOQA4GnjVuK7PAb7Wtl8NjFbVrkk2BhYmObvteyqwPfBfwJnA3wJfGjfWq1rhtSlwcZIv05vN/CSwd1Vdn2Sr1vdtwHer6lVJHghclGRsxnFH4Mn0isSfAG+pqicn+SDwP4EPAScAr6uqkSS7AccDz2jHPxzYC9gOOK3FeSRwRFU9b2X3a5yjgX8F7inukmwCnAQ8s6quS/IZ4JAWizSh1f3DMahGRkbW22vvEvPQDeahO8xFN5iHbjAPE5vqzN2ewNer6g7gjiTfoDdj9cCqOr/1ORk4tW3v2Iq6B9KbjTtrgrEfT69IOicJ9GbN+mft3p/kfwOPBHZvbc8GnpRk//Z5iN7s2Z3ARVW1FCDJf9IrnsYXd4cneVHb/ot27EOB71XV9QBV9fu+c71g7FlBeoXco9r2uVW1DFiWZBT4Rmtf0uLbAtgDOLVdG/RmGsd8rc0qXp1k6wnu0UpV1feSkGSvvubHA9dX1XXt88nAoVjcSZIkSQNpXX/P3UnAC6tqcVu+uM8EfQNcVVW7r2L/m9vSzcOAE4Gd2zGHVdWfFI1tWWaNO75W0mdfYPequi3JefQKtonie3FVXTtunN3oLb8cc3ff57vp3eMNgJvbM4Mr0398VtFndY4G3g78cQ2PlyRJkjSLTfWFKguB5yfZpM1GPQ/4A3BTkqe1Pi8HxmbxtgR+1ZZcHriasa8FHppkd+gt00yyw0r6HQdskOSv6c0EHtLGJ8nj2rNxAE9N8ugkGwAHAN8fN84QcFMr7LYD/rK1/wjYO8mj25hjyzLPAg5Lm3pL8uTVXM89quoW4PokL2nHJslOqzlsGb37N9lznA08CHhSa7oWmJvkse1zf14kSZIkDZgpzdxV1cVJTgOuAH5Db9nhKPAK4ONJNgOWAq9sh7wDuJDey1cuZIJiparubMsrP5xkqMX2IeCqcf2qLfX8F+BZ9N4qeVkrum6k93IT6L1A5DjufaHKV8ed8kzgdUmuoVcI/aiNf2OSg4GvtMLwt+08/9riuaK1X0+vuJ2sA4GPJXk7vecVv0DvZSircgWwIsli4KQJXqjS72jg6+067kjySnpLQcdeqLLKt4wumDfpOlLrgOvHJUmStLZSNX714moOSLaoqltbIfc94OCqumydRLeG2pLLyb6MZL01Ojo6teRrnbG46wbz0A3moRvMQ3eYi24wD91gHu41NDR0n8e51uSZuxOSbE/v+bSTu1bYSZIkSdL6aMrFXVVN5ou1Z1RVnQecN8NhTJv2fOGx45qvr6oXray/JEmSpPXPun5bpqZBexvoRF8jIUmSJGk9N9W3ZUqSJEmSOsjiTpIkSZIGgMWdJEmSJA0AiztJkiRJGgAWd5IkSZI0AHxbpgA4Y+mymQ5h/TZnG0ammIMF87ZcR8FIkiRpNnLmTpIkSZIGwBoVd0luSPKQNT1pkvlJFvR9PijJceP6nJdklzU9x7ixphTvWDxJ3pZkUftZ0bd9eJJPJdl+muLbIcl3k1ybZCTJO5JkEsfdOh3nlyRJkjT73e/LMpNsCMwHdgHOuL/PPxVVdTRwNPQKqaqaP93nSLIpcBpwSFWdnWQz4MvA64GPTvf5JEmSJA2m1c7cJdk8yTeTLE5yZZID2q7DklyWZEmS7VrfrZJ8LckVSX6U5Emt/agkn02yEPgs8B7ggDYLdsDKz/wnMXwsySVJrkry7r72G5K8eyVxPDjJ2a3/p4D0HfOyJBe1c38iyZzW/sok1yW5CNhzEjHdM7OY5NYk72/n+3aSp7b9S5O8oPWZ0/pc3O7Pa9tQLwUWVtXZAFV1G/AG4Mi+e3di33iHryKet7R7sDjJMa3tMUnOTHJpkgvG7o8kSZKkwTOZmbvnAL+sqr8BSDIEHAv8rqqekuT1wBHAPwDvBi6vqhcmeQbwGXqzdADbA3tV1e1JDgJ2qao3tDEPolfs7dV33sf2bb+tqn7fCrHvJHlSVV3R9q0sjncB36+q9yT5G+DV7TxPAA4A9qyqu5IcDxyY5JwW+87AKHAucPkk7s2YzYHvVtWbk3wVeC/wrHbNJ9ObmXs1MFpVuybZGFiY5GxgB+DS/sGq6qdJtkjyZ61pO+DpwJbAtUk+VlV3jfVP8lxgP2C3qrotyVZt1wnA66pqJMluwPHAM6ZwXeqwkZGRmQ5hIHlfu8E8dIN56A5z0Q3moRvW5zwMDw9PuH8yxd0S4D+SHAucXlUXtMfBvtL2Xwr8bdveC3gxQFV9t82gjRUop1XV7ROc54tjxR70Zsb69v1dkoNbvA+nVzSNFXcri2Pvse2q+maSm1r7M+kVcBe3a9gU+C2wG3BeVd3Yzv1F4HET3ZRx7gTObNtLgOWteFwCzG3tzwaelGT/9nkImDg79/pmVS0Hlif5LbA18PO+/fsCn26zfrRCeAtgD+DUvsf3Np7CNanjVveXW1M3MjLife0A89AN5qE7zEU3mIduMA8TW21xV1XXJXkKsAB4b5LvtF3L2+8VkxkH+MOaBJjk0fRm5HatqpuSnARs0tdlKnEEOLmq3jruHC9ck9j63FVV1bbvHoupqu5uzxiOnfuwqjpr3LkfRa8Y7W+bB9xaVbe0wmx53+7J3u8NgJvXxXOCkiRJkrpnMs/cPQK4rao+B7wfeMoE3S8ADmzH7UNvyeQtK+m3jN4Sw8n4M3qF4WiSrYHnTuKY79F7lm1syeKDWvt3gP2TPKzt2yrJtsCFwF+1mcaNgJdMMrapOAs4pI1Pkscl2Rw4Bdgryb6tfVPgw8D7pjD2OcAr03sZC0m2avf9+iQvaW1JstP0XY4kSZKkLpnMVyE8EbgoySJ6z7K9d4K+RwE7J7kCOAZ4xSr6nQtsP5kXqlTVYnrPv/0Y+DywcBIxvxvYO8lV9JZn/n9trKuBtwNntxjPAR5eVb9qsf+wjX/NJM4xVZ8CrgYuS3Il8Algw7ZUdT/g7Umupbes82LguFWONE5VnUnvub5LWp6OaLsOBF6dZDFwVTuPJEmSpAGUe1cTan0zOjpq8jvC9ePdYB66wTx0g3noDnPRDeahG8zDvYaGhu7zvdhr9CXmkiRJkqRusbiTJEmSpAFgcSdJkiRJA8DiTpIkSZIGgMWdJEmSJA0AiztJkiRJGgAWd5IkSZI0ACzuJEmSJGkAWNxJkiRJ0gDYcKYDUDecsXTZTIewXhue6QAkSZI06zlzJ0mSJEkDwOJuipIclOTGJIuSXJ3kNX3tx63FuC9LckWSq5IsTvKpJA9cw7FOSrL/msYiSZIkafZxWeYUJBm7X1+sqjckeRhwVZLT1nLc5wBvAp5bVb9IMgd4BbA1cPNaBS1JkiRpvTBrZ+6SzE3y4ySnJLkmyZeSbJbkmUkuT7IkyYlJNk6ya5KvtOP2S3J7kgck2STJ0tb+mCRnJrk0yQVJtmvtJyX5eJILgff1x1BVvwV+Cmw7LrbnJ7mwxfHtJFsn2SDJSJKHtj4bJPlJ+/w24Iiq+kUbd0VVnVhV17a+97mm1v7OJBcnuTLJCUmykvt0TJthvCLJv09rEiRJkiR1RqpqpmNYI0nmAtcDe1XVwiQnAkuB1wLPrKrrknwGuAw4Driuqua1AuevgDfSm7l8XVX9fZLvtO2RJLsB/1ZVz0hyEvAQYL+qWpHkIGCXNnM3D/gRsB3wgr72BwE3V1Ul+QfgCVX1z0neBYxW1YeSPBt4bVW9OMnvgUdX1ehKrnMTYGT8NbUxtqqq37d+nwX+X1V9o8V8OnAu8ANguxbLA6vqnpnA0dHRe5LvC1Vm1vCKX890CJIkSeq44eF7X8M3NDR0n4md2b4s82dVtbBtfw54B3B9VV3X2k4GDm2F0E+TPAF4KvABYG9gDnBBki2APYBT+ya/Nu47z6lVtaLv8wFJ9gKW0yvQfj9u0uyRwBeTPBx4AL0iFOBE4OvAh4BXAZ8ef0FJngh8FtgS+F/Aj1d2TW2Mpyf5F2AzYCvgKuAbfcONAncA/zfJ6fQKPnVU/19WzYyRkRHz0AHmoRvMQ3eYi24wD91gHiY2a5dlNuOnHSd6Pu17wHOBu4BvA3u1nwvo3Yebq2p+388T+o79w7ixvtj67FZVX13JuT4CHFdVT6Q3k7gJQFX9DPhNkmfQKzK/1fpfBTyl9VlSVfPbvk1XdTFtRu94YP92nk+OnWdMVf2xnedLwPOAM1d5dyRJkiTNarO9uHtUkt3b9kuBS4C5SR7b2l4OnN+2L6C3FPOHVXUj8GDg8cCVVXULcH2SlwCkZ6e1iGsI+EXbfsW4fZ+iN8vYPxv4b8C/J3lkX7+xwu7aVVzTWCH3uzbzeJ+3Y7b2oao6g94LW9bmmiRJkiR12GxflnktcGh73u5q4HB6z8Cd2t5seTHw8db3Qnpvn/xe+3wFsE3d+9DhgcDHkrwd2Aj4ArB4DeM6qsVwE/Bd4NF9+06jtxzzniWZVXVGe7HKt9qbMm8GrgTOqqo7krxy/DVV1fIkn2z9ft3ax9sS+Hqb5QvwT2t4PZIkSZI6bra/UOX0qtpxhkOZkiS7AB+sqqfNdCz9L1TRzHL9eDeYh24wD91gHrrDXHSDeegG83CvQXyhyqyS5EjgEHqzhJIkSZI0bWbtM3dVdcNsm7WrqmOqatuq+v5MxyJJkiRpsMza4k6SJEmSdC+LO0mSJEkaABZ3kiRJkjQALO4kSZIkaQBY3EmSJEnSALC4kyRJkqQBYHEnSZIkSQPALzEXAGcsXTbTIaw3FszbcqZDkCRJ0gAaqJm7JAcluTHJoiRXJ3lNX/txazDe29pYi5Ks6Ns+PMmnkmw/TXHvkOS7Sa5NMpLkHUkyieNunY7zS5IkSZr9BmbmLsnYtXyxqt6Q5GHAVUlOW9Mxq+po4Og2/q1VNX8aQv0TSTYFTgMOqaqzk2wGfBl4PfDR6T6fJEmSpMG0TmbuksxN8uMkpyS5JsmXkmyW5JlJLk+yJMmJSTZOsmBcVGwAACAASURBVGuSr7Tj9ktye5IHJNkkydLW/pgkZya5NMkFSbZr7Scl+XiSC4H39cdQVb8FfgpsOy625ye5sMXx7SRbJ9mgzZg9tPXZIMlPxj6v4hrPS7JL2741yfuTXNXGfGrbvzTJC1qfOa3PxUmuSPLaNtRLgYVVdXaL+zbgDcCR7bij2r0aG+/wVcTzlnZfFyc5ZqL7JkmSJGnwrMtlmY8Hjq+qJwC3AP8EnAQcUFVPpDdreAhwOTA2I/Y04EpgV2A34MLWfgJwWFXtDBwBHN93nkcCe1TVP/WfPMk8YB7wk3FxfR/4y6p6MvAF4F+q6m7gc8CBrc++wOKqunGS17o58N2q2gFYBrwXeBbwIuA9rc+rgdGq2rVd32uSPBrYAbi0f7Cq+imwRZI/a03bAX8NPBV4V5KNxl3rc4H9gN2qaifuLXQnum+SJEmSBsi6XJb5s6pa2LY/B7wDuL6qrmttJwOHVtWHkvw0yRPoFS8fAPYG5gAXJNkC2AM4te8xtI37znNqVa3o+3xAkr2A5cBrq+r34x5feyTwxSQPBx4AXN/aTwS+DnwIeBXw6Slc653AmW17CbC8qu5KsgSY29qfDTwpyf7t8xAwPMnxv1lVy4HlSX4LbA38vG//vsCn26wf7ZpXd980Q0ZGRqbUrvuXeegG89AN5qE7zEU3mIduWJ/zMDw8cfmwLou7Gvf5ZuDBq+j7PeC5wF3At+nN8M0B3kxvdvHmCZ53+8O4z1+sqjdMENdHgA9U1WlJ9gGOAqiqnyX5TZJn0CsyD1z1EPdxV1WNXe/d9ApLquruvmcBQ28W7az+A5M8il4x2982D7i1qm5phdnyvt0rmFzeVnffNENW9pdyZGRktX9Zte6Zh24wD91gHrrDXHSDeegG8zCxdbks81FJdm/bLwUuAeYmeWxrezlwftu+AHgj8MO2FPLB9JZ1XllVtwDXJ3kJQHp2Wou4hoBftO1XjNv3KXqzjONnA6fDWcAhY0sqkzwuyebAKcBeSfZt7ZsCH2bcM4SrcQ7wyvYyFpJstQ7umyRJkqQOW5fF3bXAoUmuAR4EfBB4Jb1lgkvozXB9vPW9kN5Sw++1z1cAS/pmww4EXp1kMXAVvefL1tRRLYZLgd+N23casAVTW5I5WZ8CrgYuS3Il8Algw6q6nd71vD3JtfSWdV4MTPqrG6rqTHqxX5JkEb3n62B675skSZKkDsu99dM0DprMBU6vqh2nffB1qL398oNV9bSZjuX+MDo6ek/y/RLz+8/KvsTcJQbdYB66wTx0g3noDnPRDeahG8zDvYaGhu7zvdgD8z13ayvJkfTe3jmVZ+0GxsoKDkmSJEmzxzpZlllVN8y2WbuqOqaqtq2q7890LJIkSZI0VevymTtJkiRJ0v3E4k6SJEmSBoDFnSRJkiQNAIs7SZIkSRoAFneSJEmSNAAs7iRJkiRpAFjcSZIkSdIAsLiTJEmSpAGw4UwHoG44Y+mymQ5htRbM23KmQ5AkSZI6y5m7WSTJ3CRXrqT9PUn2bdtvTLLZ/R+dJEmSpJlkcTcAquqdVfXt9vGNgMWdJEmStJ6xuJt95iT5ZJKrkpydZNMkJyXZP8nhwCOAc5Ocm2RO23dlkiVJ3jTTwUuSJElaN1JVMx2DJinJXOAnwC5VtSjJ/wNOA/YFTq+qLyW5oe3/XZKdgWOq6lnt+AdW1c1j442Ojt6T/NnwzN3wil/PdAiSJEnSjBkeHr5ne2hoKOP3+0KV2ef6qlrUti8F5k7QdykwL8lHgG8CZ6/j2Nap/j/Mg2ZkZGSgr2+2MA/dYB66wTx0h7noBvPQDeZhYi7LnH2W922vYIICvapuAnYCzgNeB3xqnUYmSZIkacY4czd4lgFbAr9L8hDgzqr6cpJrgc/NbGiSJEmS1hWLu8FzAnBmkl/Se3Pmp5OMzdC+debCkiRJkrQuWdzNIlV1A7Bj3+d/X0mfjwAf6Wt6ymTG9gvCJUmSpNnNZ+4kSZIkaQBY3EmSJEnSALC4kyRJkqQBYHEnSZIkSQPA4k6SJEmSBoDFnSRJkiQNAIs7SZIkSRoAFneSJEmSNAAs7iRJkiRpAGw40wGoG85YumxGzrtg3pYzcl5JkiRp0DhzJ0mSJEkDwOKu45LMTXJl256fZEHfvhckOXLmopMkSZLUFRZ3s8t84J7irqpOq6pjZjAeSZIkSR1hcbeW2szaj5OckuSaJF9KslmSnZOcn+TSJGcleXjrf16SY5NclOS6JE/rG+eCJJe1nz3GnecBwHuAA5IsSnJAkoOSHNf2PzTJl5Nc3H72bO1/1fovSnJ5Eh9ykyRJkgZQqmqmY5jVkswFrgf2qqqFSU4ErgFeBOxXVTcmOQD466p6VZLzgEur6p/bEst/qqp9k2wG3F1VdyQZBv6zqnZp459eVTsmOQjYpare0M59z+cknweOr6rvJ3kUcFZVPSHJN4BjWmxbAHdU1R8BRkdH70n+TL1QZXjFr2fkvJIkSdJsMzw8fM/20NBQxu/3bZnT42dVtbBtfw74X8COwDlJAOYAv+rr/5X2+1JgbtveCDguyXxgBfC4KcawL7B9Ox/An7VibiHwgSSnAF+pqp9Pcdx1qv8P6PpsZGTEe9EB5qEbzEM3mIfuMBfdYB66wTxMzOJueoyf/lwGXFVVu6+i//L2ewX35uBNwG+Anegtl71jijFsAPxlVY0/7pgk36T3rN7CJH9dVT+e4tiSJEmSOs5n7qbHo5KMFXIvBX4EPHSsLclGSXZYzRhDwK+q6m7g5fRm+8ZbBqzqmbmzgcPGPrQZQJI8pqqWVNWxwMXAdpO8JkmSJEmziMXd9LgWODTJNcCDgI8A+wPHJlkMLAL2mOB4gOOBV7T+2wF/WEmfc+ktvVzUnuPrdziwS5IrklwNvK61vzHJlUmuAO4CvrUG1ydJkiSp41yWOT3+WFUvG9e2CNh7fMeq2qdv+3e0Z+6qagR4Ul/Xt7T2G+g9v0dV/R7YddyQJ/WNNb7go6oOG9+2Mgvm+RJNSZIkaTZz5k6SJEmSBoAzd2upf2ZNkiRJkmaKM3eSJEmSNAAs7iRJkiRpAFjcSZIkSdIAsLiTJEmSpAFgcSdJkiRJA8DiTpIkSZIGgMWdJEmSJA0Av+dOAJyxdNm0jbVg3pbTNpYkSZKkyXHmTpIkSZIGgMXdBJK8Lcmi9rOib/vwJJ9Ksv00nWeHJN9Ncm2SkSTvSJJJHHfrdJxfkiRJ0uznsswJVNXRwNHQK6Sqav50nyPJpsBpwCFVdXaSzYAvA68HPjrd55MkSZI0mAZi5i7Jy5Jc1GbVPpHk0CTv79t/UJLjVtF3Tmu/NcnRSRYn+VGSrVdzzvOS7NJ37PuTXJXk20me2vYvTfKC1mdO63NxkiuSvLYN9VJgYVWdDVBVtwFvAI5sxx2V5MS+8Q5fRTxvSbKkxX9Ma3tMkjOTXJrkgiTbrfldliRJktRlqaqZjmGtJHkC8D7gb6vqriTHAxcC76iqx7Y+36I3A/ffK+n7o6r6TJICXlBV30jyPuCWqnpv33luraot+j6fBxxRVZe0YxdU1beSfBXYHPgbYHvg5Kqan+Rg4GFV9d4kGwMLgZcAhwH/VVX/Z9x13QRsC/wT8Gzg6cCWwLXANi3+W6tqiyTPBd4B7FtVtyXZqqp+n+Q7wOuqaiTJbsC/VdUzxs4xOjp6T/Kn84Uqwyt+PW1jSZIkSeoZHh6+Z3toaOg+j3ENwrLMZwI7Axe3x9Q2BX4LLE3yl8AIsB29YurQVfQFuBM4vW1fCjxrCjHcCZzZtpcAy1vxtQSY29qfDTwpyf7t8xAwzOR8s6qWA8uT/BbYGvh53/59gU+3WT9aYbcFsAdwat/jextP4ZrWWP8fOk3OyMiI960DzEM3mIduMA/dYS66wTx0g3mY2CAUd6E3O/bWP2lMXgX8HfBj4KtVVe0lJffp29xV905jrmBq96b/2LuB5QBVdXeSsXECHFZVZ42L81HA3uPa5gG3VtUtrTBb3rd7srFtANy8Lp4TlCRJktQ9g/DM3XeA/ZM8DCDJVkm2Bb4K7Af8PfCF1fS9P5wFHJJko3buxyXZHDgF2CvJvq19U+DD9JaPTtY5wCvby1hoyzJvAa5P8pLWliQ7Td/lSJIkSeqSWV/cVdXVwNuBs5NcQa/QeXhV3QRcA2xbVRdN1Pd+CvVTwNXAZUmuBD4BbFhVt9MrQt+e5Fp6yzovBo6b7MBVdSa9N25ekmQRcETbdSDw6iSLgavaeSRJkiQNoFn/QhWtuf4XqmhmuX68G8xDN5iHbjAP3WEuusE8dIN5uNfKXqgy62fuJEmSJEkWd5IkSZI0ECzuJEmSJGkAWNxJkiRJ0gCwuJMkSZKkAWBxJ0mSJEkDwOJOkiRJkgaAxZ0kSZIkDQCLO0mSJEkaABvOdADqhjOWLlvlvgXztrwfI5EkSZK0JtZq5i7J4UmuSXLKdASTnrcnGUlyXZJzk+zQt/8l7Xznts//meSKJO9Ksqiv398nuT3JRu3zE5Nc0bZ/MIk4zktybZLFSRYmefx0XN9UJJmb5KX393klSZIkzU5ruyzz9cCzqurA6QgGOBTYA9ipqh4H/BtwWpJN2v5XA6+pqqcn2QbYtaqeBPwr8KgkY1NMewDXAE/u+/wDgKraY5KxHFhVOwEnA++fzAGtOJ2upa5zAYs7SZIkSZOyxoVIko8D84BvJXlLkh8muTzJD8ZmupLMSfLvSa5sM2yHtfadk5yf5NIkZyV5eBv2LcAbquo2gKo6m15RdmCSdwJ7Af83yfuBs4E/bzN2ewKXALu1cXYGPkqvqKP9XtjOfWv7vU+boftSkh8nOSVJVnKp3wMe2455c5KL27W8u7XNbbN8nwGuBP6i3Y8lbebvmNbvMUnObNd8QZLtWvtJST7c7tvSJPu38x4DPC3JoiRvaue5IMll7WePdvwGSY5v13BOkjPGxpjgPkuSJEkaMGtc3FXV64BfAk8HPgY8raqeDLwT+N+t28H0ZqDmtxm2U9pSyY8A+1fVzsCJwNFJ/gzYvKqWjjvVJcAOVfWetn1gVb0ZeAHw06qaX1UX0Cve9kiyOXA3cB5/WtytbDnmk4E3AtvTK1T3XEmf5wNLkjwbGAaeCswHdk6yd+szDBxfVTu0sfYDdmszf+9rfU4ADmvXfARwfN85Hk6vcH0evaIO4EjggnZ9HwR+S2+W9CnAAcCHW7+/bfd4e+DlwO4Aq7rPK7k+SZIkSQNgul6oMgScnGQYKGCj1r4v8PGq+iNAVf0+yY7AjsA5baJsDvCraYjhB8A/AxcAF1fVT5M8NslDgS2q6qcrOeaiqvo5QJsBnAt8v+07JcntwA3AYcA/As8GLm/7t6BX1P1/wH9V1Y/6rvnTfbOPv0+yBb0C89S+ycGN++L4WlXdDVydZOtVXN9GwHFJ5gMrgMe19r2AU9vxvx57HhF4PNN0n0dGRtbkME2R97kbzEM3mIduMA/dYS66wTx0w/qch+Hh4Qn3T1dx96/AuVX1oiRz6c2arUqAq6pq9/vsSP6QZN642budgfMnEcOPgF3pzb79sLX9HPgffZ/HW963vYI/vR8HVtUlfbEF+Leq+sS4mOcCf1hNbBsAN1fV/EnEsbKloQBvAn4D7NTGu2M151zlfZ6q1f0h0tobGRnxPneAeegG89AN5qE7zEU3mIduMA8Tm66XfwwBv2jbB/W1nwO8NsmGAEm2Aq4FHprknuWDfW/EfD/w4SSbtn370puZ+vzqAqiqZcDPgFdybzH3Q3rLLheu8ZXd6yzgVW0WjiR/nuRhK+l3DvDKJJu1fltV1S3A9Ule0tqSZKfVnG8Z0P8dBEPAr9oM3cvpzcRB79pe3J692xrYp7VPdJ8lSZIkDZjpKu7eB/xbksv509mvT9FbtnhFksXAS6vqTmB/4NjWtoh7n437CHAxvWfcrgXeAexXVbdPMo6FwMZV9bP2+Yf0nqVb7dcfrE57ucvngR8mWQJ8iT8tvsb6nQmcBlzSlnoe0XYdCLy6XfNV9J7Lm8gVwIr2UpY30XtG7xXt+O24d7bwy/RmKK8GPgdcBoyu5j5LkiRJGjCpqpmOQWspyRZVdWuSBwMXAXtW1a9Xd9zo6Og9yfdLzGeWSwy6wTx0g3noBvPQHeaiG8xDN5iHew0NDd3nca7peuZOM+v0JA8EHgD862QKu/Es4CRJkqTZzeJuAFTVPjMdgyRJkqSZNV3P3EmSJEmSZpDFnSRJkiQNAIs7SZIkSRoAFneSJEmSNAAs7iRJkiRpAFjcSZIkSdIAsLiTJEmSpAFgcSdJkiRJA8AvMRcAZyxddp+2BfO2nIFIJEmSJK2J9WrmLsncJFeupP28JLuswXhHJTliDWM5KMlxbfvxLYZFSa5JcsL4PlMY93+tSTySJEmSZrf1qrjrsA8DH6yq+VX1BOAjazGWxZ0kSZK0Hlofi7sNk5zSZsi+lGSz/p1J/j7JkiRXJjm2r/05SS5LsjjJd8YPmuQ1Sb6VZNMkL0tyUZuJ+0SSOa3PK5Ncl+QiYM++wx8O/HzsQ1Ut6dv3iCRnJhlJ8r6J4kxyDLBpO+8pSTZP8s0W85VJDljLeydJkiSpo9bH4u7xwPFthuwW4PVjO5I8AjgWeAYwH9g1yQuTPBT4JPDiqtoJeEn/gEneADwPeCEwFzgA2LOq5gMrgAOTPBx4N72ibi9g+74hPgh8txWHb0rywL5989t4TwQOSPIXq4qzqo4Ebm8zgAcCzwF+WVU7VdWOwJlrd+skSZIkddX6+EKVn1XVwrb9OeDwvn27AudV1Y0ASU4B9qZXoH2vqq4HqKrf9x3zP4GfAS+sqruSPBPYGbg4CcCmwG+B3caN/UXgcW28Tyc5i14xth/w2iQ7tfG/U1Wj7ZirgW2BB68izq+Nu9YlwH+0mb3Tq+qCqdyokZGRqXTXWvJ+d4N56Abz0A3moTvMRTeYh25Yn/MwPDw84f71sbir1XyeqiX0Zs8eCVwPBDi5qt7a3ynJCycMquqXwInAie2lLzu2Xcv7uq1gCjmrquuSPAVYALw3yXeq6j2TPX51f3g0fUZGRrzfHWAeusE8dIN56A5z0Q3moRvMw8TWx2WZj0qye9t+KfD9vn0XAX+V5CHtObm/B84HfgTsneTRAEm26jvmcuC1wGltueR3gP2TPGysb5JtgQvb2A9OshF9Szvb83wbte1t6M3M/WKCa1hVnAB39Y31COC2qvoc8H7gKZO/TZIkSZJmk/Vx5u5a4P9v787D9Kqq/O3fXyaRoQsVHBA0QpeNiBAZVBwQEJVGBRScGhUEUVDwwm4c+ocijWhL49SiqNCNYEsrQ6OMioKggEwCIQFECgm+Cg6MJQooJuv945yChyJJVYWk6uSp+3NddeUM++yznrOqEhZ7n13vS3IscD3wFeB1AFX12yQfAc6nGYE7q6pOA0jybuDUJMvRTLN85UiHVXVR+ysRzmqPfxT4Qdv2QeB9VXVpkkOAS4B7gFk9Mb0K+M8kD7T7H6yq37XTOh9lUXECRwOzk1wFfAM4Isn8No59F+uJSZIkSeq8VD3WWYlaVg0PD5v8jnCKQTeYh24wD91gHrrDXHSDeegG8/CwgYGBR40ETcdpmZIkSZLUdyzuJEmSJKkPWNxJkiRJUh+wuJMkSZKkPmBxJ0mSJEl9wOJOkiRJkvqAxZ0kSZIk9QGLO0mSJEnqAxZ3kiRJktQHVpjqANQNZ99876OO7bDe6lMQiSRJkqTF4cidJEmSJPUBi7vFlOTQJNtNdRySJEmSBE7LXGxVdfBUxyBJkiRJIxy5G4ckH0vyiyQXJflWkgOTHJdk1yTbJzm5p+3WSc5st1+V5JIkVyU5Oclq7fGDk1yR5NokR6fx5CRXtuc3SVJJntHu/zLJKklel+SyJFcnOTfJU5Isl2QoyVpt2+WS3JRkrSRvbO9xTZKfTP6TkyRJkjRZUlVTHUOnJdkCOAZ4EbAicBXwNWAj4Ezgu8DNwHOq6s9JvgJcDHwfOBX4x/b4h4HHVdWhSZ5YVXe1/f8PcFJVnZHkOmBL4B3A7sAXgIuAb1fVlkmeANxTVZXkXe09/yXJx4HhqvpCklcB76mqXZLMAbavqluTrFFV9/R+tuHh4YeSv6AFVQbn/W7JPERJkiRJj9ng4OBD2wMDAxl93mmZY3sJcFpVPQA8kOSM3pNV9bck3wdel+QU4DXAh4CXAxsCFycBWAm4pL1smyQfAlYBnghcB5wB/LS931bAp4DtgQAXttetA5yY5Gltf3Pb48cCp9EUg3sCX2+PXwwcl+QkmkJzQnq/ebR0DQ0N+bw7wDx0g3noBvPQHeaiG8xDN5iHRXNa5pLxbeBNwLbAz6rqXpqi7IdVNbP92rCq9kqyMnAUsGtVPY9mVHDltp+fAC8DnklTrG0CvJSHi7sjgS+1171n5Lqq+jXw+yTbAi8Avtce3wf4KLAucGWSJy3NhyBJkiRp6ljcje1imlG5ldt35l67gDY/BjYF9qYp9AAuBV6S5O8Bkqya5Nk8XMjd0fa3a08/FwJvA4aqaj5wF7ADzdRMgAHg1nZ791Ex/BfwTeDkqprX3nP9qrqsXfzldpoiT5IkSVIfsrgbQ1VdAZwOzKYZEZsDDI9qM4/m/bt/bP+kqm4H9gC+lWQ2zZTMDdr33o4BrgXOAa7o6ecWmhG/kcVPLqJ5x+7udv8Q4OR24ZU7RoV6OrAaD0/JBDgiyZwk19JM+bxmcZ6BJEmSpO7znbvx+UxVHZJkFZrC68qqOqa3QVXtB+w36tiPgC1Gd1ZVH6WZLvkoVbVuz/anaN69G9k/jWa65oJsAlxTVTf0tH/DGJ/rITust/p4m0qSJEnqIIu78Tk6yYY0UyqPr6qrpjqgXkk+AuwL7DbVsUiSJEmaGhZ341BV/zTVMSxKVX0a+PRUxyFJkiRp6vjOnSRJkiT1AYs7SZIkSeoDFneSJEmS1Acs7iRJkiSpD1jcSZIkSVIfsLiTJEmSpD5gcSdJkiRJfcDfcycAzr753kfs77De6lMUiSRJkqTF4cidJEmSJPUBi7sxJFkjyXvHaDMjybWTFZMkSZIkjWZxN7Y1gEUWd5IkSZI01SzuxvZpYP0ks5J8Psl5Sa5KMifJTqMbJ1kvydVJtkiyfpLvJ7kyyYVJNmjbvC7JZW27c5M8pT0+px0pTJI7k7yjPf6NJK9sRwgvbO9/VZIX95zfuSeGE5LslOS5SS5vY5+dZHBSnpgkSZKkSZeqmuoYOi3JDODMqtooyQrAKlX1xyRrApcCg8AzgTOBXYBvA3tU1TVJzgP2qaqhJC8E/r2qtk3yBOCeqqok7wKeU1X/kuSrwBnAr4CvA7Oqau8kQ8BMoID5VfVAW6h9q6o2T/Jy4ANVtXOSAWBWG9fngUur6oQkKwHLV9X9I59teHj4oeSPXlBlcN7vluyDlCRJkvSYDA4+PFYzMDCQ0eddLXNiAnwqyVbAfODpwFPac2sBpwFvqKrrk6wGvBg4OXnouT+u/XMd4MQkTwNWAua2xy8EtqIp7r4CvDvJ04G7q+rPbeH2pSQzgXnAswGq6sdJjkqyFk2B+X9V9bcklwAHJVkHOLWqhsb7QXu/cbT0DQ0N+cw7wDx0g3noBvPQHeaiG8xDN5iHRXNa5sTsRlPEbVZVM4HfAyu354aB/w94abu/HM3o3Myer+e0544EvlRVzwPe09PHT4CXtV8XALcDu9IUfQAfaO+5CbA5TWE44hvA24B3AscCVNX/AjsC9wNnJ9l2CTwDSZIkSR1kcTe2e4GRX/o2APyhqh5Msg3NdMwRfwVeD7wjyT9V1R+BuUneCNC+R7dJTz+3ttu7j3RQVb8G1gQGq+pm4CLgQJqib+S631bVfODtwPI99z8OOKDt5/r2nusBN1fVF2lGFTd+LA9CkiRJUndZ3I2hqu4ELm5/1cFMYPMkc4B3ADeMavtn4LXAB5LsSDPSt1eSa4DrgJEFWA6hma55JXDHqFteBtzYbl9IM/Xzonb/KGD3tr8NgD/33Pv3wM9p3tUb8Sbg2iSzgI1oRvckSZIk9SHfuRuHqvqncTTbqG17D7BFz/HtF9DfaTQjaQu619t7tn9KTwHevjPXO/r24ZGNJKvQLKLyrZ72n6ZZ7XNMO6y3+tiNJEmSJHWWI3d9IMl2NKN2R1bV8FTHI0mSJGnyOXLXB6rqXB75/p8kSZKkacaRO0mSJEnqAxZ3kiRJktQHLO4kSZIkqQ9Y3EmSJElSH7C4kyRJkqQ+YHEnSZIkSX3A4k6SJEmS+oDFnQA4++Z7pzoESZIkSY+BxV3HJbklyZoTaL91khcvzZgkSZIkdY/FXf/ZGrC4kyRJkqaZFaY6AD0syarAScA6wPLAJ9pT+yd5HbAi8MaquiHJE4FjgfWA+4B3A38E9gHmJXkbsD/wVODjwDxguKq2msSPJEmSJGmSWNx1y/bAbVX1GoAkA8DhwB1VtWmS9wIHAu8C/g24uqp2TrIt8I2qmpnkq8CfquozbR9zgFdX1a1J1piKDyVJkiRp6UtVTXUMaiV5NvAD4ETgzKq6MMktwEva4uyFwCerarskVwO7VNXN7bW/Bp4L/DOPLO6+CqxPMyJ4alXdOXK/4eHhh5J/9s33Mjjvd5PyOSVJkiRN3ODg4EPbAwMDGX3ekbsOqaobk2wK7AAcluS89tRf2j/nMcGcVdU+bVH4GuDKJJv1Fni9er9ZNLmGhoZ8/h1gHrrBPHSDeegOc9EN5qEbzMOiuaBKhyRZG7ivqr4JHAFsuojmFwK7tddtTTN184/AvcDqPX2uX1WXVdXBwO3AukspfEmSJElTyJG7bnkecESS+cCDwL7AKQtpewhwbJLZNAuq7N4ePwM4JclONAuqfCDJIBDgPOCapRe+JEmSpKlicdchVXUOcM6owzN6zv+M5lcdUFV3ATsvoI8bgY17Dl24pOOUJEmS1D1OyxQADsaYLQAAHg9JREFUO6y3+tiNJEmSJHWWxZ0kSZIk9QGLO0mSJEnqAxZ3kiRJktQHLO4kSZIkqQ9Y3EmSJElSH7C4kyRJkqQ+YHEnSZIkSX3A4k6SJEmS+oDFnSRJkiT1AYs7SZIkSeoDFneSJEmS1Acs7nok2SPJ2j37ByRZpWf/liRrTrC/L7XbhyQ5cDFi2jrJcJJZSW5I8plR/d/enhv52rA9N5jkzCS/THJlkvOTbDXR+0uSJElaNljcPdIewNo9+wcAqyy46aS6sKpmAs8HXpvkJT3nTqyqmT1f1ydZGTgLOLqq1q+qzYD9gfWmIHZJkiRJk2CFqQ5gaUuyKnASsA6wPPAJ4Cbgc8BqwB00Rd1LgM2BE5LcD3ydptA7P8kdVbXNqH7fBrwfWAm4DHhvVc1L8k7gX4F7gGuAvywgpgvaa7YB1gD2qqoLx/osVXV/klnA08douhtwSVWd3nPttcC1Y91DkiRJ0rKp74s7YHvgtqp6DUCSAeB7wE5VdXuSNwOfrKo9k+wHHFhVP2vbfgDYpqru6O0wyXOANwMvqaoHkxwF7Jbkh8C/AZsBw8D5wNULiWuFqnpBkh2AjwPbjfVBkjwBGAR+0nP4zUle2rO/JfBc4Kqx+us1NDQ0keZaCsxBN5iHbjAP3WAeusNcdIN56IbpnIfBwcFFnp8Oxd0c4LNJDgfOBO4GNgJ+mASa0bzfTrDPV9AUcFe0fTwe+APwQuCCqrodIMmJwLMX0sep7Z9XAjPGuN/LklxDU9h9oap+13PuxKrar7dxG1Pv/nfaa2+sqjcs6AZjfaNo6RoaGjIHHWAeusE8dIN56A5z0Q3moRvMw6L1fXFXVTcm2RTYATgM+BFwXVVt+Ri6DXB8Vf3rIw4mO0+gj5HpmvMYOw8XVtVrkzwLuDTJSVU1axHtrwMeWjylql6fZHPgMwu/RJIkSdKyrO8XVGlXv7yvqr4JHEEzurZWki3b8ysmeW7b/F5g9Z7LR++POA/YNcmT2z6emOSZNO/RvTzJk5KsCLxxSX6WqpoLfBr48BhN/xd4SZIde451YWEYSZIkSUtJ34/cAc8DjkgyH3gQ2Bf4G/DF9v27FYAv0Ix2HQd8tV1QZUvgaOD7SW7rXVClXZHyo8APkizX9vu+qro0ySHAJTQLqixqdG1xfRU4MMmMdn/0O3fvraqfJnkt8LkkXwB+T1OoHrYU4pEkSZLUAamqqY5BU2R4eNjkd4Tzx7vBPHSDeegG89Ad5qIbzEM3mIeHDQwMZPSxvp+WKUmSJEnTwXSYlrlMSPJq4PBRh+dW1eunIh5JkiRJyxaLu46oqnOAc6Y6DkmSJEnLJqdlSpIkSVIfsLiTJEmSpD5gcSdJkiRJfcDiTpIkSZL6gMWdJEmSJPUBiztJkiRJ6gMWd5IkSZLUByzuJEmSJKkPLDPFXZIDkqyyGNftkWTtnv0LkvwiyTVJrkgys+fc2UnWGKO/C5JsvoDjeyaZk2R2kmuT7NQePzTJdgtov3WSMxfj84zruiTfamP5wOI+O0mSJEnLjhWmOoAJOAD4JnDfeC9IsjywB3AtcFvPqd2q6mdJ3gkcAbwSoKp2WJzAkqwDHARsWlXDSVYD1mr7PHhx+nwskjwV2KKq/r7dv4UJPjtJkiRJy5ZOFndJVgVOAtYBlgdOBtYGzk9yR1Vtk+QrwBbA44FTqurj7bW3ACfSFGyfAzYHTkhyP7DlqFtdAnyw5763tO1XA74HXAS8GLgV2Kmq7u9puxxwLPAb4FTgXuBPAFX1p5HtJMcBZ1bVKUm2B75AU2RdNOrzHglsBKwIHFJVp43zOS3ouh8AT08yC/jO6Ge3oL6GhobGup2WMnPQDeahG8xDN5iH7jAX3WAeumE652FwcHCR5ztZ3AHbA7dV1WsAkgwA7wS2qao72jYHVdVd7ejceUk2rqrZ7bk7q2rT9tp3AQdW1c/a/dH3+e5CYhgE3lpVeyc5CdiFZvQLmud2AnBtVX2yjeH3wNwk5wGnVtUZvZ0lWRk4BtgWuImmAB1xEPCjqtqznRZ6eZJzq+rPYzynBV4H7EhTUM5s7z362T36w47xjaKla2hoyBx0gHnoBvPQDeahO8xFN5iHbjAPi9bVd+7mAK9McniSl1XV8ALavCnJVcDVwHOBDXvOnbiA9r1OSDKXpjj68kLazK2qWe32lcCMnnNfoy3sAKpqHk2huCtwI/D5JIeM6m+Dts+hqioeLhQBXgV8pB1puwBYGXjGGJ/hsVwnSZIkqc90srirqhuBTWmKvMOSPOK9tSTPAg4EXlFVGwNn0RQ2I8Ya8doNWA84nmZa44L8pWd7Ho8c5fwpsE07GjcSc1XV5VX178BbaEb6xivALlU1s/16RlX9fCleJ0mSJKnPdLK4a1e3vK+qvkmz4MmmNO+0rd42+TuaAm44yVOAf1xEd73XPaQdPfsY8KIkG0wwxP8GzgZOSrJCkrWTbNpzfibwq1HX3ADMSLJ+u//WnnPnAPunnTOa5PnjjGO81y3wGUiSJEnqH1195+55wBFJ5gMPAvvSLIby/SS3tQuqXE1TMP0auHgRfR0HfHVBC6pU1f1JPkuzqMpeEwmwqj7Xvgv4P8BHgM+0RekDwO3APqPaP5Dk3cBZSe4DLuThgusTNAutzG4XapkLvHYcYYz3uqPpeXYT+ZySJEmSlg1pBrA0HQ0PD5v8jvDl4G4wD91gHrrBPHSHuegG89AN5uFhAwMDGX2sk9MyJUmSJEkT09VpmdNeklcDh486PLeqXj8V8UiSJEnqNou7jqqqc2gWTJEkSZKkMTktU5IkSZL6gMWdJEmSJPUBiztJkiRJ6gMWd5IkSZLUByzuJEmSJKkPWNxJkiRJUh+wuJMkSZKkPmBxtwhJdkzykaXU9x5JvtRu/0OSC5LMSvLzJEePbjOBfv/f0ohXkiRJUrdZ3C1CVZ1eVZ+ehFt9Efh8Vc2squcARz6GvizuJEmSpGlo2hZ3SWYkuSHJcUluTHJCku2SXJxkKMkLRo2uvTHJtUmuSfKT9thzk1zejrjNTjLYHn9bz/GvJVm+Pf7O9l6XAy/pCedpwG9GdqpqTs+5tZN8v43pP3rif2uSOW1Mh7fHPg08vr3vCUlWTXJWG/O1Sd68lB6nJEmSpCmWqprqGKZEkhnATcDzgeuAK4BrgL2AHYF3At8FNq+q/ZLMAbavqluTrFFV9yQ5Eri0qk5IshKwPDAD+A/gDVX1YJKjgEuBHwKXAZsBw8D5wNVt3+8EvgD8FPgB8PW2/z2Ag9sY/wL8AngpMK/tczPg7vaaL1bVd5P8qapWaz/jLm3Me7f7A1U1PPIMhoeHH0r+0NDQEnqykiRJkpaGwcHBh7YHBgYy+vwKkxpN98wdGSVLch1wXlVVW8jNGNX2YuC4JCcBp7bHLgEOSrIOcGpVDSV5BU3RdUUSgMcDfwBeCFxQVbe39zsReDZAVX09yTnA9sBOwHuSbNLe47yRgizJ9cAzgSeN6usEYCuaYrTXHOCz7cjemVV14cIeRO83iibf0NCQOegA89AN5qEbzEN3mItuMA/dYB4WbdpOy2z9pWd7fs/+fEYVvlW1D/BRYF3gyiRPqqr/pRnlux84O8m2QIDj2/fnZlbVP1TVIWMFUlW3VdWxVbUT8DdgowXEOG90XGP0eSOwKU2Rd1iSg8d7rSRJkqRly3Qv7sYtyfpVdVlVHQzcDqybZD3g5qr6InAasDFwHrBrkie31z0xyTNppmS+PMmTkqwIvLGn7+3bYyR5Ks3I3K2LCOfytq812/f53gr8uD33YE9fawP3VdU3gSNoCj1JkiRJfWi6T8uciCPaBVNCU8BdA3wYeHuSB4HfAZ+qqruSfBT4QZLlgAeB91XVpUkOoZnKeQ8wq6fvVwH/meSBdv+DVfW7dlrno1TVb9tf0XB+G89ZVXVae/poYHaSq4BvtHHPb+PYd4k8CUmSJEmdM20XVNEjF1TR1HL+eDeYh24wD91gHrrDXHSDeegG8/CwBS2o4rRMSZIkSeoDFneSJEmS1Acs7iRJkiSpD1jcSZIkSVIfsLiTJEmSpD5gcSdJkiRJfcDiTpIkSZL6gMWdJEmSJPUBiztJkiRJ6gMWd5IkSZLUByzuJEmSJKkPWNxNUJIZSa6d6jgkSZIkqZfFnSRJkiT1AYu7xbN8kmOSXJfkB0ken2RmkkuTzE7ynSRPAEiyd5IrklyT5P+SrLKwTpO8LsllSa5Ocm6Sp7TH5yRZI407k7yjPf6NJK9sRxMvTHJV+/XinvM79/R/QpKdlu6jkSRJkjQVUlVTHcMyJckM4CZg86qaleQk4HTgQ8D+VfXjJIcCf1dVByR5UlXd2V57GPD7qjpyIX0/AbinqirJu4DnVNW/JPkqcAbwK+DrwKyq2jvJEDATKGB+VT2QZBD4VlVtnuTlwAeqauckA8AsYLCq/gYwPDz8UPKHhoaW9KOSJEmStAQNDg4+tD0wMJDR51eY1Gj6x9yqmtVuXwmsD6xRVT9ujx0PnNxub9QWdWsAqwHnLKLfdYATkzwNWAmY2x6/ENiKprj7CvDuJE8H7q6qP7eF25eSzATmAc8GaAvNo5KsBewC/N9IYTda7zeKJt/Q0JA56ADz0A3moRvMQ3eYi24wD91gHhbNaZmL5y892/NoCreFOQ7Yr6qeB/wbsPIi2h4JfKlt+56etj8BXtZ+XQDcDuxKU/QBfAD4PbAJsDlNYTjiG8DbgHcCxy76Y0mSJElaVlncLRnDwN1JXtbuvx0YGcVbHfhtkhWB3cboZwC4td3efeRgVf0aWJNmSuXNwEXAgTRF38h1v62q+e29l+/p8zjggLaf6yf8ySRJkiQtEyzulpzdgSOSzKZ5D+7Q9vjHgMuAi4EbxujjEODkJFcCd4w6dxlwY7t9IfB0miIP4Chg9yTXABsAfx65qKp+D/yc5l09SZIkSX3Kd+4mqKpuATbq2f9Mz+kXLaD9V2jekxtP36cBpy3k3Nt7tn9KT2FeVUPAxj3NPzyy0a7OOQh8azwxSJIkSVo2OXLXx5JsRzNqd2RVDU91PJIkSZKWHkfupkCSg4A3jjp8clV9cknep6rOBZ65JPuUJEmS1E0Wd1OgLeKWaCEnSZIkaXpzWqYkSZIk9QGLO0mSJEnqAxZ3kiRJktQHLO4kSZIkqQ9Y3EmSJElSH7C4kyRJkqQ+YHEnSZIkSX3A4k6SJEmS+kCnirskByRZZTGu2yPJ2j37FyT5RZJrklyRZGbPubOTrDFGfxck2XwBx/dMMifJ7CTXJtmpPX5oku0W0H7rJGdO9PMsoJ+1k5wyjnZ/WsjxnZNs+FjjkCRJktRdnSrugAOACRV3SZYH9gDWHnVqt6raBDgKOGLkYFXtUFX3TDSwJOsABwEvraqNgRcBs9s+D66qcyfa5zjvu0JV3VZVuz6GbnYGLO4kSZKkPjZlxV2SVZOc1Y6uXZvk4zQF2vlJzm/bfCXJz5Jcl+Tfeq69JcnhSa4C3gpsDpyQZFaSx4+61SXA00ddu2aSGUl+nuSYtv8fjL42yXJJjktyGPBk4F7gTwBV9aeqmtu2Oy7Jru329kluaGN7w6jPe2ySy5NcPTLqt5Bns0eS05P8CDivjfXa9twqSU5Kcn2S7yS5rHeUMckn22d6aZKnJHkxsCNwRPt81h9fhiRJkiQtS1aYwntvD9xWVa8BSDIAvBPYpqruaNscVFV3taNz5yXZuKpmt+furKpN22vfBRxYVT9r90ff57sLiWEQeGtV7Z3kJGAX4JvtuRWAE4Brq+qTbQy/B+YmOQ84tarO6O0sycrAMcC2wE3AiT2nDwJ+VFV7ttNCL09yblX9eSGxbQps3H7+GT3H3wvcXVUbJtkImNVzblXg0qo6KMl/AHtX1WFJTgfOrKqFTu0cGhpa2ClNEnPQDeahG8xDN5iH7jAX3WAeumE652FwcHCR56eyuJsDfDbJ4TSFx4WjijKANyV5N02cT6OZWjhS3J04uvEoJyRZCVgNmLmQNnOraqQ4uhKY0XPua8BJVfVJgKqal2R7YAvgFcDnk2xWVYf0XLNB2+cQQJJvAu9uz70K2DHJge3+ysAzgJ8vJLYfVtVdCzj+UuA/25iuTTK759xfgZF3/K4EXrmQvh9lrG8ULV1DQ0PmoAPMQzeYh24wD91hLrrBPHSDeVi0KZuWWVU30oxOzQEOS3Jw7/kkzwIOBF7RvuN2Fk1BNGJhI14jdgPWA44HjlxIm7/0bM/jkcXuT4Ft2tG4kZirqi6vqn8H3kIz0jdeAXapqpnt1zOqamGFHYz9+Rbkwaqqdnv055EkSZLUx6bynbu1gfuq6ps0C55sSvNO2+ptk7+jKXCGkzwF+MdFdNd73UPaQudjwIuSbDDBEP8bOBs4KckK7YqVm/acnwn8atQ1NwAzet5re2vPuXOA/dMOTyZ5/gTjGXEx8Ka2jw2B543jmgU+H0mSJEn9YypHdp5Hs8jHfOBBYF9gS+D7SW6rqm2SXE1TMP2apqhZmOOArya5v+3jIVV1f5LPAh8E9ppIgFX1ufZdwP8BPgJ8pi1KHwBuB/YZ1f6BdhrpWUnuAy7k4aLqE8AXgNlJlgPmAq+dSDyto4Djk1xP82yuA4bHuObbwDFJ3g/sWlW/XIz7SpIkSeqwPDyLT8uCdmGXFdtCcn3gXOAfquqvE+1reHjY5HeE88e7wTx0g3noBvPQHeaiG8xDN5iHhw0MDDxqwRLfyVr2rELz6yJWpHmP772LU9hJkiRJ6i8Wd1MoyauBw0cdnltVr1/YNVV1L83v9ZMkSZKkh1jcTaGqOodmoRVJkiRJekymbLVMSZIkSdKSY3EnSZIkSX3A4k6SJEmS+oDFnSRJkiT1AYs7SZIkSeoDFneSJEmS1Acs7iRJkiSpD1jcSZIkSVIfmLTiLskhSQ5stw9Nst0Y7Y9LMjfJrCTXJHnFY7j3LUnWXNzrJ0uSGUn+aRHnn9x+lqf2HPtykn+dnAglSZIkddWUjNxV1cFVde44mn6wqmYCBwBfXcphdcEMYKHFXVX9Afg08BmAJJsCLxvZlyRJkjR9parGbpR8DHgbcDvwa+BK4FyagmsV4JfAnlV1d5K9gXcDKwE3AW+vqvuSHAL8qao+k+Q44MyqOiXJZsDngNWAO4A9quq3o9qsDNxVVaskWZ6mwNkaeBzw5ar6WpKtgUOBe4G/B84H3ltV85PcAmxeVXck+S6wLrAy8J9VdXT7GbcHPgUsD9xRVa9IsipwJLARsCJwSFWdlmQPYGdgVWCQprhaCXg78Bdgh6q6K8n6wJeBtYD7gL2r6ob2s/0R2Bx4KvCh9nNeCjwHmAscX1WfX0AulgMuBv5fG++HgVsXcp83Ah8H5gHDVbVVb1/Dw8MPJX9oaOjRiZckSZLUGYODgw9tDwwMZPT5FcbqIMkWwC7AJjQFzlU0xd03gP2r6sdJDqUpIg4ATq2qY9prDwP2oimQFtT3iu25narq9iRvBj4J7Dmq6fbAd9vtvWgKlS2SPA64OMkP2nMvADYEfgV8H3gDcMqovvZsC6/HA1ck+T+aEcxjgK2qam6SJ7ZtDwJ+VFV7JlkDuDzJyIjjRsDzaYrEm4APV9Xzk3weeAfwBeBoYJ+qGkryQuAoYNv2+qcBLwU2AE5v4/wIcGBVvXZBzwugLVb3BX4EnF5VP0ly3kLuczDw6qq6tY1/oXq/UTT5hoaGzEEHmIduMA/dYB66w1x0g3noBvOwaGMWd8BLgNOq6gHggSRn0IxYrVFVP27bHA+c3G5v1BZ1a9CMxp2ziL7/gaZI+mESaEbNfttz/ogknwLWAbZsj70K2DjJru3+AM3o2V+By6vqZoAk36IpnkYXd+9P8vp2e9322rWAn1TVXICquqvnXjuOvCtIU8g9o90+v6ruBe5NMgyc0R6f08a3GvBi4OT2s0Ez0jjiu1U1H7g+yVMW8YwepapmJbkWOGqM+1wMHJfkJODUidxDkiRJ0rJlPMXdRB0H7FxV17TTF7deRNsA11XVlgs5/8F2uuL+wLHAZu01+1fVI4rGdlrm6DmmtYA22wFbtlNFL6Ap2BYV3y5V9YtR/byQZvrliPk9+/NpnutywD3tO4ML0nv9o4ZUx2F++7XQ+1TVPm2srwGuTLJZVd25GPeSJEmS1HHjWVDlYuB1SVZuR4leC/wZuDvJy9o2bwdGRvFWB37bTrncbYy+fwGslWRLaKZpJnnuAtp9CVguyatpRgL3bfsnybPbd+MAXpDkWe17aW8GLhrVzwBwd1vYbQC8qD1+KbBVkme1fY5MyzwH2D/tkFiS54/xeR5SVX8E5rbvvZHGJmNcdi/N8xu3Rd0nyfpVdVlVHUzzvuS6E+lbkiRJ0rJjzOKuqq6geSdsNvA9mmmHw8DuNNMmZwMzaRYzAfgYcBlNUXjDGH3/FdgVODzJNcAsmimGo9sVcBjwIeC/gOuBq9qpiV/j4RHIK2gKwZ/TLErynVFdfR9YIcnPaRZlubTt/3aaRWBObeM4sW3/CZr3DGcnua7dn4jdgL3aPq8Ddhqj/WxgXvurHz6wBO5zRJI57XP6KXDNxMKXJEmStKwY72qZq1XVn5KsAvwEeHdVXbXUo5uAdsrlIhcj0SP1rpapqeXLwd1gHrrBPHSDeegOc9EN5qEbzMPDFmu1zNbRSTakeT/t+K4VdpIkSZI03Y2ruKuqhf5i7a6oqguAC6Y4jCWmfb/w8FGH51bV6xfUXpIkSdL0Nq5pmepPTsuUJEmSlk0LmpY5ntUyJUmSJEkdZ3EnSZIkSX3AaZmSJEmS1AccuZMkSZKkPmBxN00k2T7JL5LclOQjCzj/uCQntucvSzJj8qPsf+PIw1ZJrkrytyS7TkWM08E48vDPSa5PMjvJeUmeORVx9rtx5GGfJHOSzEpyUfsrebSEjZWHnna7JKkkm09mfNPFOH4e9khye/vzMCvJu6Yizn43np+HJG9q/424Lsn/TnaM08E4fh4+3/OzcGOSe6Yizi5yWuY0kGR54EbglcBvgCuAt1bV9T1t3gtsXFX7JHkL8PqqevOUBNynxpmHGcDfAQcCp1fVKZMfaX8bZx62AS6rqvuS7Ats7c/DkjXOPPxdVf2x3d4ReG9VbT8V8far8eShbbc6cBawErBfVf1ssmPtZ+P8edgD2Lyq9puSIKeBceZhEDgJ2Laq7k7y5Kr6w5QE3KfG+/dST/v9gedX1Z6TF2V3OXI3PbwAuKmqbq6qvwLfBnYa1WYn4Ph2+xTgFUketbyqHpMx81BVt1TVbGD+VAQ4TYwnD+dX1X3t7qXAOpMc43Qwnjz8sWd3VcD/G7nkjeffB4BP0Pzu1QcmM7hpZLx50NI1njzsDXy5qu4GsLBbKib68/BW4FuTEtkywOJueng68Oue/d+0xxbYpqr+BgwDT5qU6KaP8eRBS99E87AX8L2lGtH0NK48JHlfkl8C/wG8f5Jim07GzEOSTYF1q+qsyQxsmhnv30u7tNPFT0my7uSENq2MJw/PBp6d5OIklyZxNsGSN+5/p9vXJp4F/GgS4lomWNxJ0kIkeRuwOXDEVMcyXVXVl6tqfeDDwEenOp7pJslywOeAf5nqWMQZwIyq2hj4IQ/PttHkWgEYBLamGTE6JskaUxrR9PYW4JSqmjfVgXSFxd30cCvQ+3/41mmPLbBNkhWAAeDOSYlu+hhPHrT0jSsPSbYDDgJ2rKq/TFJs08lEfx6+Dey8VCOansbKw+rARsAFSW4BXgSc7qIqS9yYPw9VdWfP30X/BWw2SbFNJ+P5e+k3NO/EP1hVc2neDRucpPimi4n8+/AWnJL5CBZ308MVwGCSZyVZieYH4fRRbU4Hdm+3dwV+VK62s6SNJw9a+sbMQ5LnA1+jKex8n2LpGE8eev+D6TXA0CTGN10sMg9VNVxVa1bVjKqaQfMO6o4uqLLEjefn4Wk9uzsCP5/E+KaL8fw7/V2aUTuSrEkzTfPmyQxyGhjXfy8l2QB4AnDJJMfXaRZ300D7Dt1+wDk0/xicVFXXJTm0XYEO4L+BJyW5CfhnYKHLYWvxjCcPSbZI8hvgjcDXklw3dRH3p3H+PBwBrAac3C6zbBG+hI0zD/u1S43Povl7afeFdKfFNM48aCkbZx7e3/48XEPz/ukeUxNt/xpnHs4B7kxyPXA+8MGqcqbTEjSBv5feAnzbwYhH8lchSJIkSVIfcOROkiRJkvqAxZ0kSZIk9QGLO0mSJEnqAxZ3kiRJktQHLO4kSZIkqQ9Y3EmSJElSH7C4kyRJkqQ+YHEnSZIkSX3g/wcUldos0tgZaAAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 864x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "slearner.plot_importance(X=X, \n",
        "                         tau=slearner_tau, \n",
        "                         method='permutation', \n",
        "                         features=feature_names, \n",
        "                         random_state=42)"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "ca77e7a4",
      "metadata": {
        "id": "ca77e7a4"
      },
      "source": [
        "### LRSRegressor with SLearner, Shapley Values"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "id": "8decd2ba",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "8decd2ba",
        "outputId": "4b471007-5e39-411c-9530-c7cfd10cf55a"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{'treatment_A': array([[-9.04950843e-03,  3.77681293e-04, -5.73475649e-05, ...,\n",
              "          0.00000000e+00, -9.28469923e-03, -1.07613674e-04],\n",
              "        [-3.06683300e-03, -3.47123915e-03,  3.07167718e-04, ...,\n",
              "          0.00000000e+00,  1.05446129e-03,  1.24016485e-05],\n",
              "        [-1.09673200e-02,  8.48008285e-04, -1.23761160e-03, ...,\n",
              "          0.00000000e+00,  1.26283139e-03,  1.37468830e-05],\n",
              "        ...,\n",
              "        [-9.49303266e-05,  1.08917935e-03, -8.08220343e-05, ...,\n",
              "          0.00000000e+00,  1.33947992e-03,  2.17833217e-05],\n",
              "        [ 8.45370620e-03, -2.51361921e-04,  1.53136683e-03, ...,\n",
              "          0.00000000e+00,  2.07547341e-03,  1.04918220e-05],\n",
              "        [-9.49303266e-05,  1.08917935e-03, -8.08220343e-05, ...,\n",
              "          0.00000000e+00,  1.33947992e-03,  2.17833217e-05]])}"
            ]
          },
          "metadata": {},
          "execution_count": 19
        }
      ],
      "source": [
        "shap_slearner = slearner.get_shap_values(X=X, tau=slearner_tau)\n",
        "shap_slearner"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.mean(np.abs(shap_slearner['treatment_A']),axis=0)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "tRg1QYlGJcAo",
        "outputId": "e9460785-9748-4a99-b599-f43f2427ce57"
      },
      "id": "tRg1QYlGJcAo",
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([1.07375887e-02, 3.56907646e-03, 5.26044639e-04, 5.86022468e-04,\n",
              "       8.22771476e-03, 2.82023888e-04, 3.48659082e-03, 4.87980292e-04,\n",
              "       1.00125724e-03, 7.83596554e-05, 2.38520208e-03, 2.11505485e-02,\n",
              "       2.39456055e-03, 3.37067391e-03, 5.24258270e-03, 0.00000000e+00,\n",
              "       4.85417864e-03, 0.00000000e+00, 1.60439016e-04, 0.00000000e+00,\n",
              "       4.58906781e-03, 5.44881430e-05])"
            ]
          },
          "metadata": {},
          "execution_count": 20
        }
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "id": "9c3c8fe8",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 595
        },
        "id": "9c3c8fe8",
        "outputId": "38c05509-4a35-47a3-b30b-6d0cbe1fe7ee"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 576x684 with 2 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "# Plot shap values without specifying shap_dict\n",
        "slearner.plot_shap_values(X=X, tau=slearner_tau, features=feature_names)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "id": "d3a5f251",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 595
        },
        "id": "d3a5f251",
        "outputId": "017b7e6f-415e-4868-ae4b-ef8936a56ade"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 576x684 with 2 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "# Plot shap values WITH specifying shap_dict\n",
        "slearner.plot_shap_values(X=X, shap_dict=shap_slearner)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 23,
      "id": "d5c6a4a3",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 333
        },
        "id": "d5c6a4a3",
        "outputId": "68d373b1-3f3a-43f1-a831-204b5a91b55e"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "# interaction_idx set to None (no color coding for interaction effects)\n",
        "slearner.plot_shap_dependence(treatment_group='treatment_A',\n",
        "                              feature_idx=1,\n",
        "                              X=X,\n",
        "                              tau=slearner_tau,\n",
        "                              interaction_idx=None,\n",
        "                              shap_dict=shap_slearner)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 24,
      "id": "dd067edb",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 337
        },
        "id": "dd067edb",
        "outputId": "8a46a4c6-1236-40f2-802f-063f51e29d85"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 540x360 with 2 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "# interaction_idx set to 'auto' (searches for feature with greatest approximate interaction)\n",
        "# specify feature names\n",
        "slearner.plot_shap_dependence(treatment_group='treatment_A',\n",
        "                              feature_idx=6,\n",
        "                              X=X,\n",
        "                              tau=slearner_tau,\n",
        "                              interaction_idx='auto',\n",
        "                              shap_dict=shap_slearner,\n",
        "                              features=feature_names)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 25,
      "id": "c2f20924",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 333
        },
        "id": "c2f20924",
        "outputId": "1b0bb9ce-6bc8-4244-ceb7-65d49307a5fb"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 540x360 with 2 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "# interaction_idx set to specific index\n",
        "slearner.plot_shap_dependence(treatment_group='treatment_A',\n",
        "                              feature_idx=6,\n",
        "                              X=X,\n",
        "                              tau=slearner_tau,\n",
        "                              interaction_idx=10,\n",
        "                              shap_dict=shap_slearner, \n",
        "                              features=feature_names)"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "bfe5d8ac",
      "metadata": {
        "id": "bfe5d8ac"
      },
      "source": [
        "### LRSRegressor with TLearner, \"auto\" method"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 26,
      "id": "7d38bb43",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "7d38bb43",
        "outputId": "b49a0ae6-4e0a-47e1-eeb8-bb321792ece7"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(array([-1.31629978]), array([-1.75922237]), array([-0.87337719]))\n",
            "ATE estimate: -1.316\n",
            "ATE lower bound: -1.759\n",
            "ATE upper bound: -0.873\n"
          ]
        }
      ],
      "source": [
        "learner_t = LRSRegressor()\n",
        "cate_t = learner_t.estimate_ate(X=X, treatment=treatment, y=y)\n",
        "print(cate_t)\n",
        "print('ATE estimate: {:.03f}'.format(cate_t[0][0]))\n",
        "print('ATE lower bound: {:.03f}'.format(cate_t[1][0]))\n",
        "print('ATE upper bound: {:.03f}'.format(cate_t[2][0]))\n",
        "\n",
        "tlearner_tau = learner_t.fit_predict(X, treatment, y)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 27,
      "id": "7c85d392",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "7c85d392",
        "outputId": "6dfcdd9e-8893-462e-c95d-ebdb07831f83"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{1: faceOffWinPercentage     1.0\n",
              " pim                      0.0\n",
              " evenTimeOnIce            0.0\n",
              " goalieReplacement_No     0.0\n",
              " startRinkSide_right      0.0\n",
              " startRinkSide_left       0.0\n",
              " settledIn_REG            0.0\n",
              " settledIn_OT             0.0\n",
              " hoa_away                 0.0\n",
              " powerPlayTimeOnIce       0.0\n",
              " shortHandedTimeOnIce     0.0\n",
              " timeOnIce                0.0\n",
              " powerPlayGoals           0.0\n",
              " penalties                0.0\n",
              " missedShots              0.0\n",
              " giveaways                0.0\n",
              " blockedShots             0.0\n",
              " hits                     0.0\n",
              " takeaways                0.0\n",
              " goals                    0.0\n",
              " shots                    0.0\n",
              " goalieReplacement_Yes    0.0\n",
              " dtype: float64}"
            ]
          },
          "metadata": {},
          "execution_count": 27
        }
      ],
      "source": [
        "learner_t.get_importance(X=X, \n",
        "                         tau=tlearner_tau,\n",
        "                         normalize=True, \n",
        "                         method='auto',\n",
        "                         features = feature_names)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 28,
      "id": "cf910f33",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 496
        },
        "id": "cf910f33",
        "outputId": "fcbcc852-a9ef-44b8-f776-496578c73bc3"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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ufcL9klwJXN2uI0mSJGkA5d7VhFrTjI6O+uOrb/NpiYLmHseP+uXYUb8cO+rXXB07Q0ND9/u72PN+5k6SJEmSZLiTJEmSpIFguJMkSZKkAWC4kyRJkqQBYLiTJEmSpAFguJMkSZKkAWC4kyRJkqQBYLiTJEmSpAFguJMkSZKkAWC4kyRJkqQBYLiTJEmSpAFguJMkSZKkATAr4S7JYUkOadvvT7LbFPWPS7IsyeIkVyZ57kpc+8Ykf9Xv+Q+UJAuTvGqKOrskqSQv6Sk7Pckuq72DkiRJkuaUWZ+5q6r3VtW3p1H1bVW1CDgYOGY1d2suWAisMNw1PwcOXb1dkSRJkjTXLZjpCUneA7wauBn4GXA58G26wLUe8GNg36r6bZL9gQOABwE/Al5TVbePa+844PSqOiXJNsBHgA2AW4B9quqX47pwEfCYdu7awAeBXYAHA5+qqs+0mav3A7cCTwLOBd5YVXePu/bXgL8G1gX+/6r6bCt/IfAvwNrALVX13CTrA58AtgDWAQ6rqq8n2Qd4GbA+MAx8qN3va4A7gRdV1W+SbAJ8CngYcDuwf1Vd1+7/98C2wCOBt1fVKe2+nppkMXB8VX10kp/kSmCdJM+rqrPH3d9zW38WAJcCB1bVnRM1MjIyMknz0uQcN1oZjh/1y7Gjfjl21K+5MnaGh4dXeHxG4S7JdsAewFZ0AecKunD3ReCgqvpukvcD76ObYTu1qj7Xzj0c2I8uIE3U9jrt2O5VdXOSvYAjgH3HVX0h8LW2vR8wWlXbJXkwcGGSs9qxZwCbAT8FzgBeAZwyrq19W/B6CHBpkq/QzWZ+Dnh2VS1LsnGreyhwTlXtm2Qj4JIkYzOOWwBPpwuJPwLeUVVPT/JR4H8CHwM+C7yhqkaSPBM4GnhOO/9RwE7ApsBprZ/vBA6pqhdP9LzGOQL4AHBPuEuyLnAc8NyquiHJF4EDW1/uZ6qBIo03MjLiuFHfHD/ql2NH/XLsqF/zaezMdOZuR+DrVfVH4I9JvkE3Y7VRVX231TkeOLltb9FC3UZ0s3FnrqDtp9CFpLOTQDdr1jtrd1SSfwEeC2zfyp4PbJlkz7Y/RDd79ifgkqr6CUCSL9OFp/Hh7i1JXt62/7qd+zDg/KpaBlBVv+m51kvH3hWkC3KPa9vnVtWtwK1JRoFvtPKlrX8bADsAJ7d7g26mcczX2qziNUkesYJnNKGqOj8JSXbqKX4KsKyqbmj7xwNvYpJwJ0mSJGl+m/GyzBk6DnhZVV3Zli/usoK6Aa6uqu0nOf62tnTzIOBYYJt2zkFVdZ/Q2JZl1rjza4I6uwHbV9XtSc6jC2wr6t8eVXX9uHaeSbf8cszdPft30z3jtYDftXcGJ9J7fiapM5UjgHcDf+7zfEmSJEnz2Ew/qHIh8JIk67bZqBcDfwB+m2TnVuc1wNgs3obAL9uSy72naPt64GFJtodumWaSzSeo90lgrSQvoJsJPLC1T5Int3fjAJ6R5AlJ1gL2Ar43rp0h4Lct2G0KPKuVXww8O8kTWptjyzLPBA5Km3pL8vQp7uceVfV7YFmSV7Zzk2SrKU67le75TfcaZwF/CWzZiq4HFiZ5Utvv/V0kSZIkDZgZhbuqupTunbAlwLfolh2OAq+lWza5BFhE9zETgPcAP6ALhddN0fafgD2BI5NcCSymW8o4vl4BhwNvBz4PXANckeQq4DPcOxt5KV0QvBZYBnx1XFNnAAuSXEv38ZKLW/s3030E5tTWjxNb/Q/QvWe4JMnVbX8m9gb2a21eDew+Rf0lwPL2px/eOs1rHEG3vJS2dPZ1dEtBl9LNIq4JXxmVJEmS1kjpstIMTkg2qKrbkqwHnA8cUFVXrJbe9aktuZzux0jWWKOjozP78aUe8+nlYs09jh/1y7Gjfjl21K+5OnaGhobu9zpXP+/cfTbJZnTvpx0/14KdJEmSJK2JZhzuqmo6f1h7VlXVecB5s9yNVaa9X3jkuOJlVfXyiepLkiRJWvOs7q9lahVoXwNd0Z+RkCRJkrSGm+nXMiVJkiRJc5DhTpIkSZIGgOFOkiRJkgaA4U6SJEmSBoDhTpIkSZIGgOFOkiRJkgaA4U6SJEmSBoDhTpIkSZIGwJwKd0kOTrJeH+ftk+TRPfvnJbk+yZVJLk2yqOfYfybZaIr2zkuy7QTl+yZZmmRJkquS7N7K359ktwnq75Lk9JnezwTtPDrJKdOod9sk5S9LstnK9kOSJEnS3DWnwh1wMDCjcJdkbWAf4NHjDu1dVVsBRwNHjRVW1Yuq6ncz7ViSxwKHAjtV1ZbAs4Alrc33VtW3Z9rmNK+7oKpuqqo9V6KZlwGGO0mSJGmALZitCydZHzgJeCywNnAyXUA7N8ktVbVrkk8D2wEPAU6pqve1c28ETgSeB3wE2BY4IckdwPbjLnUR8Lae697Y6m8AfAv4HrAD8Atg96q6o6fuWsCxwM+BU4FbgdsAquq2se0kxwGnV9UpSV4IfAy4vbXde7+fALYA1gEOq6qvT/Js9gFe0fq4dpLXtva3aDObx7V2rm/P7E1VdVk79wjgxcAdwO7AJsBLgb9J8m5gj6r68fhrjoyMTNQVaYUcN1oZjh/1y7Gjfjl21K+5MnaGh4dXeHzWwh3wQuCmqvo7gCRDwOuAXavqllbn0Kr6TZud+06SLatqSTv231W1dTv3H4FDegLO+Ot8bZI+DAP/UFX7JzkJ2AP4Uju2ADgBuKqqjmh9+BWwLMl3gFOr6hu9jSVZF/gc8BzgR3QBdMyhwDlVtW9bFnpJkm9X1R8m6dvWwJbt/hf2lL8R+G1VbZZkC2Bxz7H1gYur6tAk/wbsX1WHJzmNFj4nudaUA0Uab2RkxHGjvjl+1C/Hjvrl2FG/5tPYmc1lmUuB5yU5MsnOVTU6QZ2/T3IF8ENgc+67tPDECer3OiHJMrpQ9alJ6iyrqrFwdDmwsOfYZ2jBDqCqltMFxT2BG4CPJjlsXHubtjZHqqq4NygCPB94Z5LFwHnAusDjVtD/s6vqNxOU7wT8R+vTVbSloc2fgLF3/MbfjyRJkqQBNmvhrqpuoJudWgocnuS9vceTPAE4BHhue8ftm3SBaMxkM15j9gaeCBxPtxxyInf2bC/nvjOZ3wd2bbNxY32uqrqkqv4V+B90M33TFbolkYvav8dV1bUrqD/V/U3krhYq4f73I0mSJGmAzVq4a1+3vL2qvkT3wZOt6d5p27BV+Qu6gDOa5BHA366gud7z7tGCznuAZyXZdIZd/N/AfwInJVnQvli5dc/xRcBPx51zHbAwySZt/x96jp0JHJS2ZjTJ02fYnzEXAn/f2tgMeNo0zpnw+UiSJEkaHLM5s/M04KgkdwN3AQfSfQzljCQ3tQ+q/JAuMP2MLtRM5jjgmIk+qFJVdyT5MN1HVfabSQer6iPtXcD/A7wT+FALpX8EbgbeMK7+H5McAHwzye3ABdwbqj5A96GVJe1DLcvoPnwyU0cDxye5hu7ZXA1MtKS1138An0vyFmDPiT6oIkmSJGl+y72r+DQftA+7rNOC5CbAt4GnVNWfZtrW6OioP776Np9eLtbc4/hRvxw76pdjR/2aq2NnaGgo48t8J2v+WY/uz0WsQ/ce3xv7CXaSJEmSBovhbhYleQFw5LjiZVX18snOqapb6f5OnyRJkiTdw3A3i6rqTLoPrUiSJEnSSpnNv3MnSZIkSVpFDHeSJEmSNAAMd5IkSZI0AAx3kiRJkjQADHeSJEmSNAAMd5IkSZI0AAx3kiRJkjQADHeSJEmSNADmTbhLcnCS9fo4b58kj+7ZPy/J9UmuTHJpkkU9x/4zyUZTtHdekm0nKN83ydIkS5JclWT3Vv7+JLtNUH+XJKf3cT/TOi/Jl1tf3trvs5MkSZI0fyyY7Q7MwMHAl4Dbp3tCkrWBfYCrgJt6Du1dVZcleR1wFPA8gKp6UT8dS/JY4FBg66oaTbIB8LDW5nv7aXNlJHkksF1VPant38gMn50kSZKk+WVOhrsk6wMnAY8F1gZOBh4NnJvklqraNcmnge2AhwCnVNX72rk3AifSBbaPANsCJyS5A9h+3KUuAt7Wc90bW/0NgG8B3wN2AH4B7F5Vd/TUXQs4Fvg5cCpwK3AbQFXdNrad5Djg9Ko6JckLgY/RhazvjbvfTwBbAOsAh1XV16f5nCY67yzgMUkWA18d/+wmamtkZGSqy0n347jRynD8qF+OHfXLsaN+zZWxMzw8vMLjczLcAS8EbqqqvwNIMgS8Dti1qm5pdQ6tqt+02bnvJNmyqpa0Y/9dVVu3c/8ROKSqLmv746/ztUn6MAz8Q1Xtn+QkYA+62S/ontsJwFVVdUTrw6+AZUm+A5xaVd/obSzJusDngOcAP6ILoGMOBc6pqn3bstBLkny7qv4wxXOa8DzgpXSBclG79vhnd/+bnWKgSOONjIw4btQ3x4/65dhRvxw76td8Gjtz9Z27pcDzkhyZZOeqGp2gzt8nuQL4IbA5sFnPsRMnqN/rhCTL6MLRpyaps6yqFrfty4GFPcc+Qwt2AFW1nC4o7gncAHw0yWHj2tu0tTlSVcW9QRHg+cA720zbecC6wOOmuIeVOU+SJEnSgJmT4a6qbgC2pgt5hye5z3trSZ4AHAI8t6q2BL5JF2zGTDXjtTfwROB4umWNE7mzZ3s5953l/D6wa5uNG+tzVdUlVfWvwP+gm+mbrgB7VNWi9u9xVXXtajxPkiRJ0oCZk+Gufd3y9qr6Et0HT7ame6dtw1blL+gC3GiSRwB/u4Lmes+7R5s9ew/wrCSbzrCL/xv4T+CkJAuSPDrJ1j3HFwE/HXfOdcDCJJu0/X/oOXYmcFDamtEkT59mP6Z73oTPQJIkSdLgmKvv3D0NOCrJ3cBdwIF0H0M5I8lN7YMqP6QLTD8DLlxBW8cBx0z0QZWquiPJh+k+qrLfTDpYVR9p7wL+H+CdwIdaKP0jcDPwhnH1/5jkAOCbSW4HLuDewPUBug+tLGkfalkGvHga3ZjueZ+l59nN5D4lSZIkzQ/pJrC0JhodHfXHV9/m08vFmnscP+qXY0f9cuyoX3N17AwNDWV82ZxclilJkiRJmpm5uixzjZfkBcCR44qXVdXLZ6M/kiRJkuY2w90cVVVn0n0wRZIkSZKm5LJMSZIkSRoAhjtJkiRJGgCGO0mSJEkaAIY7SZIkSRoAhjtJkiRJGgCGO0mSJEkaAIY7SZIkSRoAhrseSfZJ8uie/YOTrNezf2OSv5phe59s24clOaSPPu2SZDTJ4iTXJfnQuPZvbsfG/m3Wjg0nOT3Jj5NcnuTcJM+e6fUlSZIkzQ+Gu/vaB3h0z/7BwHoTV31AXVBVi4CnAy9OsmPPsROralHPv2uSrAt8E/hsVW1SVdsABwFPnIW+S5IkSXoALJjtDqxuSdYHTgIeC6wNfAD4EfARYAPgFrpQtyOwLXBCkjuAL9AFvXOT3FJVu45r99XAW4AHAT8A3lhVy5O8DngX8DvgSuDOCfp0XjtnV2AjYL+qumCqe6mqO5IsBh4zRdW9gYuq6rSec68CrprqGpIkSZLmp4EPd8ALgZuq6u8AkgwB3wJ2r6qbk+wFHFFV+yZ5M3BIVV3W6r4V2LWqbultMMlTgb2AHavqriRHA3snORv4Z2AbYBQ4F/jhJP1aUFXPSPIi4H3AblPdSJK/BIaB83uK90qyU8/+9sDmwBVTtddrZGRkJtUlwHGjleP4Ub8cO+qXY0f9mitjZ3h4eIXH14RwtxT4cJIjgdOB3wJbAGcngW4275czbPO5dAHu0tbGQ4BfA88EzquqmwGSnAg8eZI2Tm3/vRxYOMX1dk5yJV2w+1hV/VfPsROr6s29lVufeve/2s69oapeMdEFphoo0ngjIyOOG/XN8aN+OXbUL8eO+jWfxs7Ah7uquiHJ1sCLgMOBc4Crq2r7lWg2wPFV9a77FCYvm0EbY8s1lzP173BBVb04yROAi5OcVFWLV1D/auCej6dU1cuTbAt8aPJTJEmSJM1nA/9Blfb1y9ur6kvAUXSzaw9Lsn07vk6SzVv1W4ENe04fvz/mO8CeSR7e2tg4yePp3qP7myQPTbIO8MpVeS9VtQz4IPCOKar+O7Bjkpf2lM2FD8NIkiRJWk0GfuYOeBpwVC3tZB4AACAASURBVJK7gbuAA4E/Ax9v798tAD5GN9t1HHBM+6DK9sBngTOS3NT7QZX2Rcp3A2clWau1+6aqujjJYcBFdB9UWdHsWr+OAQ5JsrDtj3/n7o1V9f0kLwY+kuRjwK/ogurhq6E/kiRJkuaAVNVs90GzZHR01B9ffZtP68819zh+1C/Hjvrl2FG/5urYGRoayviygV+WKUmSJElrgjVhWea8kOQFwJHjipdV1ctnoz+SJEmS5hfD3RxRVWcCZ852PyRJkiTNTy7LlCRJkqQBYLiTJEmSpAFguJMkSZKkAWC4kyRJkqQBYLiTJEmSpAFguJMkSZKkAWC4kyRJkqQBYLiTJEmSpAFguJumJPskeXTP/sFJ1uvZvzHJX82wvU+27cOSHNJnv3ZKckmS69q/A1r5oUkWt3/Le7bf0s91JEmSJM1tC2a7A/PIPsBVwE1t/2DgS8Dts9WhJI8E/h14WVVd0cLlmUl+UVVHAEe0erdV1aLZ6qckSZKk1W+NDndJ1gdOAh4LrA18APgR8BFgA+AWulC3I7AtcEKSO4AvAI8Gzk1yS1XtOq7dVwNvAR4E/AB4Y1UtT/I64F3A74ArgTsn6NN57ZxdgY2A/arqgklu4U3AcVV1BUBV3ZLk7cBhwDdn8ixGRkZmUl0CHDdaOY4f9cuxo345dtSvuTJ2hoeHV3h8jQ53wAuBm6rq7wCSDAHfAnavqpuT7AUcUVX7JnkzcEhVXdbqvhXYtapu6W0wyVOBvYAdq+quJEcDeyc5G/hnYBtgFDgX+OEk/VpQVc9I8iLgfcBuk9TbHDh+XNllrXxGphoo0ngjIyOOG/XN8aN+OXbUL8eO+jWfxs6aHu6WAh9OciRwOvBbYAvg7CTQzeb9coZtPpcuwF3a2ngI8GvgmcB5VXUzQJITgSdP0sap7b+XAwtneH1JkiRJa6A1OtxV1Q1JtgZeBBwOnANcXVXbr0SzAY6vqnfdpzB52QzaGFuuuZwV/0bX0AXJr/eUbQNcPYNrSZIkSRoAa/TXMtvXL2+vqi8BR9HNrj0syfbt+DpJxpY43gps2HP6+P0x3wH2TPLw1sbGSR5P9x7d3yR5aJJ1gFeuglv4FLBPkkXtWg8FjgT+bRW0LUmSJGkeWaNn7oCnAUcluRu4CzgQ+DPw8fb+3QLgY3QzYccBx7QPqmwPfBY4I8lNvR9UqaprkrwbOCvJWq3dN1XVxUkOAy6i+6DK4pXtfFX9sn285XNJNqSbNfxYVX1jZduWJEmSNL+kqma7D5olo6Oj/vjq23x6uVhzj+NH/XLsqF+OHfVrro6doaGhjC9bo5dlSpIkSdKgWNOXZc4LSV5A9y5dr2VV9fLZ6I8kSZKkucdwNw9U1ZnAmbPdD0mSJElzl8syJUmSJGkAGO4kSZIkaQAY7iRJkiRpABjuJEmSJGkAGO4kSZIkaQAY7iRJkiRpABjuJEmSJGkAGO4kSZIkaQAY7mYoycIkV812PyRJkiSpl+FOkiRJkgZAqmq2+zCvJFkIfAv4HrAD8Atgd+ApwDHAesCPgX2r6rdJ9gcOAB4E/Ah4TVXdPknbLwHe3er+N7B3Vf0qyVJgZ2AUuAV4a1V9MckXgf8DjLT/rt+aenNVfb8dP7WqvtbaPwE4qaq+DjA6OnrPjz8yMrIKno4kSZKk1WV4ePie7aGhoYw/briboRbufgRsW1WLk5wEnAa8HTioqr6b5P3AX1TVwUkeWlX/3c49HPhVVX1ikrb/EvhdVVWSfwSeWlX/K8kxwDeAnwJfABZX1f5JRoBFQAF3V9UfkwwDX66qbZP8DV0QfFmSIWAxMFxVf4b7hjtppkZGRu7zPxhpJhw/6pdjR/1y7Khfc3XsTBTuFsxGRwbAsqpa3LYvBzYBNqqq77ay44GT2/YWLdRtBGwAnLmCdh8LnJjkUXSzd8ta+QXAs+nC3aeBA5I8BvhtVf2hBbdPJlkELAeeDNCC5tFJHgbsAXxlLNhJkiRJGiy+c9efO3u2l9MFt8kcR7dM8mnAPwPrrqDuJ4BPtrqv76l7Pt2yzJ2B84CbgT3pQh/AW4FfAVsB29IFwzFfBF4NvA44dsW3JUmSJGm+MtytGqPAb5Ps3PZfA4zN4m0I/DLJOsDeU7QzRPcOH8Brxwqr6mfAX9EtqfwJ3ft+h9CFvrHzfllVd7drr93T5nHAwa2da2Z8Z5IkSZLmBcPdqvNa4KgkS+jeg3t/K38P8APgQuC6Kdo4DDg5yeV0H07p9QPghrZ9AfAYupAHcDTw2iRXApsCfxg7qap+BVxL966eJEmSpAHlO3czVFU3Alv07H+o5/CzJqj/abr35KbT9teBr09y7DU929+nJ5hX1QiwZU/1d4xtJFkPGAa+PJ0+SJIkSZqfnLkbYEl2o5u1+0RVjc52fyRJkiStPs7czYIkhwKvHFd8clUdsSqvU1XfBh6/KtuUJEmSNDcZ7mZBC3GrNMhJkiRJWrO5LFOSJEmSBoDhTpIkSZIGgOFOkiRJkgaA4U6SJEmSBoDhTpIkSZIGgOFOkiRJkgaA4U6SJEmSBsBAhbsk+yS5OcniJNck2b+n/JN9tHdoa2txkuU9229J8vkkm62ifm+e5Jwk1ycZSfKeJJnGebetiutLkiRJmv8G5o+YJxm7lxOr6s1JHg5cneS0ftvs/WPjSW6rqkWroKv3keQhwGnAgVV1VpL1gK8AbwQ+taqvJ0mSJGkwrZaZuyQLk1yX5IQk1yY5Jcl6SZ6b5IdJliY5NsmDk2yX5NR23u5J7kjyoCTrJvlJK98kyRlJLk9yQZJNW/lxSY5J8gPg33r7UFW/Bn4MPH5c316S5AetH99O8ogka7UZs4e1Omsl+dHY/iT3eF6Sbdv2bUmOSnJ1a/MZ7fhPkry01Vm71bk0yZIkr29NvQq4sKrOav2+HXgz8M523mHtWY2195ZJ+vOO9lyvTPLBFT03SZIkSYNndc7cPQXYr6ouTHIs8E/A64HnVtUNSb4IHAh8EhibEdsZuArYrvXtB638s8AbqmokyTOBo4HntGOPBXaoquVJ9hm7eJInAk8EfgT0Lp/8HvCsqqok/wi8var+V5IvAXsDHwN2A66sqpunea/rA+dU1duSfBU4HHheu+7xdDNz+wGjVbVdkgcDFyY5C9gcuLy3sar6cZINkvxFK9oU2BXYELg+yaer6q6ee/1bYHfgmVV1e5KNp/Hc7mNkZGSatyrdy3GjleH4Ub8cO+qXY0f9mitjZ3h4eIXHV2e4+1lVXdi2vwS8B1hWVTe0suOBN1XVx5L8OMlTgWcAHwGeDawNXJBkA2AH4OSe19Ae3HOdk6tqec/+Xkl2Au4EXl9Vvxn3+tpjgROTPAp4ELCslR8LfJ0u3O0LfGEG9/on4Iy2vRS4s6ruSrIUWNjKnw9smWTPtj8ErPjXudc3q+pO4M4kvwYeAfy85/huwBfarB/tnqd6bvcx1UCRxhsZGXHcqG+OH/XLsaN+OXbUr/k0dlZnuKtx+78DHjpJ3fOBvwXuAr4NHEcX7t5Gt3T0dyt43+0P4/ZPrKo3r6BfnwA+UlWnJdkFOAygqn6W5FdJnkMXMvdeQRvj3VVVY/d7N12wpKru7nkXMMBBVXVm74lJHkcXZnvLngjcVlW/b8Hszp7Dy5ne7zbVc5MkSZI0QFbn1zIfl2T7tv0q4DJgYZIntbLXAN9t2xcABwMXtaWQD6Vb1nlVVf0eWJbklQDpbLUS/RoCftG2Xzvu2OfpZhnHzwauCmcCByZZByDJk5OsD5wA7JRkt1b+EODjjHuHcApnA69rH2Mhycar4blJkiRJmsNWZ7i7HnhTkmuBvwQ+CryObpngUroZrmNa3R/QLTU8v+0vAZb2zIbtDeyX5Ergarr3y/p1WOvD5cAt446dBmzAzJZkTtfngWuAK5JcBXwGWFBVd9Ddz7uTXE+3rPNSuncRp6WqzqDr+2VJFgOHtEOr8rlJkiRJmsNyb35ahY0mC4HTq2qLVd74atS+fvnRqtp5tvvyQBgdHV31P77WGPNp/bnmHseP+uXYUb8cO+rXXB07Q0ND9/u72APzd+5WVpJ30n29cybv2kmSJEnSnLBalmVW1Y3zbdauqj5YVY+vqu/Ndl8kSZIkaaZW5zt3kiRJkqQHiOFOkiRJkgaA4U6SJEmSBoDhTpIkSZIGgOFOkiRJkgaA4U6SJEmSBoDhTpIkSZIGgOFOkiRJkgaA4U6SJEmSBsADFu6SHJbkkLb9/iS7TVH/uCTLkixOcmWS567EtW9M8lf9nv9ASbIwyatWcPzh7V4e2VP2qSTvemB6KEmSJGmumpWZu6p6b1V9expV31ZVi4CDgWNWc7fmgoXApOGuqn4NfBD4EECSrYGdx/YlSZIkrbmmFe6SvCfJ9Um+l+TLSQ5JsijJxUmWJPlqkr9sdfdPcmmbbftKkvUmaO+4JHu27W2SfDfJ5UnOTPKoCbpwEfCYVn/tJEe1ayxJ8vpWvkuS85N8s/X1mCT3u78kX2vXujrJAT3lL0xyRev3d1rZ+kmOTXJJkh8m2b2V79PaObvNpL05yT+1Ohcn2bjV2yTJGe16FyTZtOf+P57k+0l+MvYs6ILbzm228q2T/ByfBTZJsivwKeDNwOMmuc4rk1zV7un8Ff7IkiRJkua1BVNVSLIdsAewFbAOcAVwOfBF4KCq+m6S9wPvo5thO7WqPtfOPRzYD/jEJG2v047tXlU3J9kLOALYd1zVFwJfa9v7AaNVtV2SBwMXJjmrHXsGsBnwU+AM4BXAKePa2reqfpPkIcClSb5CF3I/Bzy7qpaNhTPgUOCcqto3yUbAJUnGZhy3AJ4OrAv8CHhHVT09yUeB/wl8jC6IvaGqRpI8EzgaeE47/1HATsCmwGmtn+8EDqmqF0/0vACq6u4kBwLnAKdV1fktjE50nfcCL6iqX7T+T2pkZGRFh6UJOW60Mhw/6pdjR/1y7Khfc2XsDA8Pr/D4lOEO2BH4elX9Efhjkm8A6wMbVdV3W53jgZPb9hYt1G0EbACcuYK2n0IXks5OArA28Mue40cl+RfgscD2rez5wJY9s11DwDDwJ+CSqvoJQJIv04Wn8eHuLUle3rb/up37MOD8qloGUFW/6bnWS8feFaQLco9r2+dW1a3ArUlGgW+08qWtfxsAOwAnt3sDeHBPP75WVXcD1yR5xAqe0f1U1eIkVwFHT3GdC4HjkpwEnLqiNqcaKNJ4IyMjjhv1zfGjfjl21C/Hjvo1n8bOdMLdTB0HvKyqrkyyD7DLCuoGuLqqtp/k+Nuq6pQkBwHHAtu0cw6qqvuExiS7ADXu/Jqgzm7A9lV1e5Lz6ALbivq3R1VdP66dZwJ39hTd3bN/N91zXQv4XXtncCK952eSOityd/s36XWq6g2tr38HXJ5km6r67z6uJUmSJGmOm847dxcCL0mybpslejHwB+C3SXZudV4DjM3ibQj8si253HuKtq8HHpZke+iWaSbZfIJ6nwTWSvICupnAA1v7JHlykvVbvWckeUJ7124v4Hvj2hkCftuC3abAs1r5xcCzkzyhtTm2LPNM4KC0KbEkT5/ifu5RVb8HliV5ZTs3Sbaa4rRb6Z7ftK3oOkk2qaofVNV7gZvpZiolSZIkDaApw11VXUr3TtgS4Ft0yw5HgdfSLZtcAiwC3t9OeQ/wA7pQeN0Ubf8J2BM4MsmVwGK6JYbj6xVwOPB24PPANcAVbWniZ7h3BvJSuiB4LbAM+Oq4ps4AFiS5lu7jJRe39m8GDgBObf04sdX/AN17hkuSXN32Z2JvYL/W5tXA7lPUXwIsbx9AmeyDKjO5zlFJlrbn9H3gypl1X5IkSdJ8kS43TVEp2aCqbkv35cvzgQOq6orV3rsZaEsuV/gxEt3X6Ojo1D++NIn5tP5cc4/jR/1y7Khfjh31a66OnaGhofu92jXdd+4+m2QzuvfTjp9rwU6SJEmS1nTTCndVNekf1p4rquo84LxZ7sYq094vPHJc8bKqevlE9SVJkiSt2VbH1zK1CrSvga7oz0hIkiRJ0j2m87VMSZIkSdIcZ7iTJEmSpAFguJMkSZKkAWC4kyRJkqQBYLiTJEmSpAFguJMkSZKkAWC4kyRJkqQBYLibpiQbJXlj2350klNWYdsHJLmu/bskyU7TOGefJJ9cVX2QJEmSNL8Z7qZvI+CNAFV1U1XtuSoaTfJi4PXATlW1KfAG4N+TPHJVtC9JkiRpzWC4m74PApskWZzk5CRXwT0zaF9LcnaSG5O8Ock/JflhkouTbNzqbZLkjCSXJ7kgyaat3XcAb6uqWwCq6grgeOBN7bwbk/xzkiuSLO057x5JHpHkq0mubP92aOWvbjOBi5N8Jsnaq/0pSZIkSZoVhrvpeyfw46paBLxt3LEtgFcA2wFHALdX1dOBi4D/2ep8FjioqrYBDgGObuWbA5ePa++yVj7mlqraGvh0O3e8jwPfraqtgK2Bq5M8FdgL2LH1eTmw98xuWZIkSdJ8sWC2OzAgzq2qW4Fbk4wC32jlS4Etk2wA7ACcnGTsnAfPoP1T238vpwuR4z2HFiKrajkwmuQ1wDbApe2aDwF+PdkFRkZGZtAdqeO40cpw/Khfjh31y7Gjfs2VsTM8PLzC44a7VePOnu27e/bvpnvGawG/azNo411DF8LO6SnbBrh6gvaXM/3fLMDxVfWu6VSeaqBI442MjDhu1DfHj/rl2FG/HDvq13waOy7LnL5bgQ37ObGqfg8sS/JKgHS2aof/DTgyyUPbsUXAPty7bHM6vgMc2M5fO8lQK9szycNb+cZJHt9P/yVJkiTNfc7cTVNV/XeSC9uHVK7to4m9gU8neTewDvAfwJVVdVqSxwDfT1J0IfLVVfXL/9fenUdZVpV3H//+oFFAsBRQg0HpqIWAKC00ooJoFA1OYBRDFBQIcYpDNOKQqIT4mgQ1DhGCioZBQUWUSAsKKIJAh0mgJ0C4BEwUjaBAOUIYnvePuwuuZXV39e3uqlu3v5+1avU5++y7z3POfVbD03ufU6sw9l8DxyQ5hO7s3huq6qJ2rrOTrAfcRfclLf/dR+ySJEmSBlyqaqZj0AwZGxvzy1ffZtMSBQ0e80f9MnfUL3NH/RrU3BkZGcnENpdlSpIkSdIQsLiTJEmSpCFgcSdJkiRJQ8DiTpIkSZKGgMWdJEmSJA0BiztJkiRJGgIWd5IkSZI0BCzuJEmSJGkIWNxJkiRJ0hCwuJMkSZKkIWBxJ0mSJElDwOJuFSU5KMktSRYluTrJa3raj1qNcQ9IsiTJVUkWJ/lskof0OdbxSfbtNxZJkiRJs8+cmQ5gNkkyfr9Orqo3JXk4cFWSBas57l7A24DnV9VNSdYHDgQeAdy+WkFLkiRJWifM2pm7JHOTfD/JSUmuSfKVJBsneU6SK5MsTXJskgcm2SXJqe1z+yT5bZIHJNkwyQ2t/bFJzkxyeZILkmzb2o9P8qkklwAf6o2hqm4G/gvYekJsL05ySYvj20kekWS9JJ0kD2t91ktyfdt/D3BoVd3Uxr2nqo6tqmtb39+7ptZ+WJLLkixLckySTHKfjmgzjEuS/Msa/RIkSZIkDYzZPnP3eOCQqlqY5Fjgb4DXAc+pquuSfA54A3AUMK995hnAMmAXutd/SWs/Bnh9VXWS7AocDTy7HdsKeHpV3ZPkoPGTJ3kM8BjgemD7nrguBJ5aVZXkL4F3VtXbk5wI7A98HNgTWFxVtyR5AnDFZBeYZEPg+Emu6ePAUVX1/tbv88CLgK/3fHZz4E+BbVssy13m2el0lndIWi7zRqvD/FG/zB31y9xRvwYld0ZHR1d4fLYXdz+sqoVt+0TgfcCNVXVdazsBeGNVfTzJfyXZDngK8FFgD2B94IIkmwBPB07pmfx6YM95Tqmqe3r290uyO3An8LqqunXCpNlWwMlJtgQeANzY2o8FTqNbmP0FcNzEC0ryRODzwKbA3wHfn+ya2hh/nOSdwMbAZsBV9BR3wBhwB/DvSU4HTp/kHgIrTxRpok6nY96ob+aP+mXuqF/mjvo1m3Jn1i7LbGrC/oqeTzsfeD5wF/BtYPf2cwHd+3B7Vc3r+dmu57O/njDWya3PrlX1H5Oc60i6s2pPpDuTuCFAVf0Q+GmSZ9MtMr/Z+l8F7NT6LK2qee3YRsu7mDajdzSwbzvPZ8bPM66q7m7n+QrdWb0zl3t3JEmSJM1qs724e3SSp7XtVwLfA+YmeVxrexXw3bZ9AfBW4KKqugXYnO6yzmVV9QvgxiQvB0jXjqsR1whwU9s+cMKxz9KdZeydDfxn4F+SbNXTb7ywu3Y51zReyP2szTz+3tsxW/tIVX2D7gtbVueaJEmSJA2w2b4s81rgje15u6uBtwAX011eOQe4DPhU63sJ3bdPnt/2lwB/UFXjs3/7A59M8l5gA+BLwOI+4zq8xXAb8B3gj3qOLaC7HPO+JZlV9Y32YpVvtjdl3k73ucCzquqOJAdPvKaqujPJZ1q//23tE20KnNZm+UL3mURJkiRJQyj31zazS5K5wOlVtcMMh7JKkswHPlZVz5jpWMbGxmbnl6+BMJvWn2vwmD/ql7mjfpk76teg5s7IyMjvvSl/ts/czSpJ3k33TZf7z3QskiRJkobLrH3mrqp+MNtm7arqiKrauqounOlYJEmSJA2XWVvcSZIkSZLuZ3EnSZIkSUPA4k6SJEmShoDFnSRJkiQNAYs7SZIkSRoCFneSJEmSNAQs7iRJkiRpCFjcSZIkSdIQsLiTJEmSpCFgcTfgksxNsqxtz0vygp5jeyd598xFJ0mSJGlQWNzNLvOA+4q7qlpQVUfMYDySJEmSBoTF3WpqM2vfT3JSkmuSfCXJxkl2TvLdJJcnOSvJlq3/eUk+mOTSJNcleUbPOBckuaL9PH3CeR4AvB/YL8miJPslOSjJUe34w5J8Ncll7We31v7M1n9RkiuTbDq9d0iSJEnSdEhVzXQMs1qSucCNwO5VtTDJscA1wJ8C+1TVLUn2A/6kqv4iyXnA5VX19rbE8m+qas8kGwP3VtUdSUaBL1bV/Db+6VW1Q5KDgPlV9aZ27vv2k3wBOLqqLkzyaOCsqtouydeBI1psmwB3VNXdAGNjY/d9+Z1OZ23fKkmSJEmrYXR09L7tkZGRTDw+Z1qjGV4/rKqFbftE4O+AHYBvJQFYH/hJT/9T25+XA3Pb9gbAUUnmAfcA26xiDHsC27fzATy4FXMLgY8mOQk4tap+NNmHexNFmopOp2PeqG/mj/pl7qhf5o76NZtyx+JuzZg4/flL4Kqqetpy+t/Z/ryH+7+DtwE/BXaku1z2jlWMYT3gqVU18XNHJDmD7rN6C5P8SVV9fxXHliRJkjTgfOZuzXh0kvFC7pXAxcDDxtuSbJDkCSsZYwT4SVXdC7yK7mzfRL8ElvfM3NnAm8d32gwgSR5bVUur6oPAZcC2U7wmSZIkSbOIxd2acS3wxiTXAA8FjgT2BT6YZDGwCHj6Cj4PcDRwYOu/LfDrSfqcS3fp5aL2HF+vtwDzkyxJcjXw+tb+1iTLkiwB7gK+2cf1SZIkSRpwLstcM+6uqgMmtC0C9pjYsaqe1bP9M9ozd1XVAZ7U0/Vdrf0HdJ/fo6puBXaZMOTxPWNNLPioqjdPbJMkSZI0fJy5kyRJkqQh4MzdauqdWZMkSZKkmeLMnSRJkiQNAYs7SZIkSRoCFneSJEmSNAQs7iRJkiRpCFjcSZIkSdIQsLiTJEmSpCFgcSdJkiRJQ8DiTpIkSZKGgMWdJEmSJA0Bi7sVSLJ3knevpbEPSnJU2358kvOSLEpyTZJjJvZZhXH/bm3EK0mSJGmwWdytQFUtqKojpuFUnwA+VlXzqmo74MjVGMviTpIkSVoHrbPFXZK5Sb6f5Pgk1yU5KcmeSRYm6SR5yoTZtZcnWZZkcZLzW9sTklzaZtyWJBlt7Qf0tH86yfqt/eB2rkuB3XrC2RL40fhOVS3tOfbIJGe2mD7UE/8rkixtMX2wtR0BbNTOe1KSByU5o8W8LMl+a+l2SpIkSZphqaqZjmFGJJkLXA88GbgKuAxYDBwC7A0cDHwNmF9Vb0qyFNirqm5K8pCquj3JkcDFVXVSkgcA6wNzgQ8BL62qu5IcDVwMfAu4BNgZGAPOBa5sYx8MfBz4T+Bs4Lg2/kHAYS3GO4Frgd2Be9qYOwO3tc98oqq+luRXVbVJu8aXtZhf0/ZHqmps/B6MjY3d9+V3Op01dGclSZIkrQ2jo6P3bY+MjGTi8TnTGs3guXF8lizJVcA5VVWtkJs7oe9C4PgkXwZObW0XAe9JshVwalV1kjyHbtF1WRKAjYCbgV2B86rqlna+k4FtAKrquCRnAXsB+wCvS7JjO8c54wVZkquBrYHNJ4x1ErAH3WK011LgI21m7/SqumB5N6I3UaSp6HQ65o36Zv6oX+aO+mXuqF+zKXfW2WWZzZ092/f27N/LhMK3ql4PvBd4FHB5ks2r6gt0Z/l+C3wjybOBACe05+fmVdXjq+rwlQVSVT+uqmOrah/gbmCHSWK8Z2JcKxnzOmAnukXeB5IcNtXPSpIkSZpd1vXibsqSPLaqLqmqw4BbgEcleQxwQ1V9AjgNeBJwDrBvkoe3z22WZGu6SzKfmWTzJBsAL+8Ze6/WRpI/oDszd9MKwrm0jbVFe57vFcB327G7esZ6JPCbqjoR+DDdQk+SJEnSEFrXl2Wuig+3F6aEbgG3GHgX8KokdwH/C/xTVd2a5L3A2UnWA+4C3lhVFyc5nO5SztuBRT1jPw/41yR3tP13VNX/tmWdv6eqftJ+RcO5LZ4zquq0dvgYYEmSK4DPtbjvbXG8YY3cCUmSJEkDZ519oYp+94Uq0qqaTevPNXjMH/XL3FG/zB31a1BzZ7IXqrgsU5IkSZKGgMWdJEmSJA0BiztJkiRJGgIWd5IkSZI0BCzuJEmSJGkIWNxJkiRJ0hCwuJMkSZKkIWBxJ0mSc0JljAAAF4tJREFUJElDwOJOkiRJkoaAxZ0kSZIkDQGLuz4leX+SPWc6DkmSJEkCmDPTAcxWVXXYTMcgSZIkSeOcuZuCJO9Lcm2SC5N8McmhSY5Psm+SvZKc0tP3WUlOb9vPS3JRkiuSnJJkk9Z+WJLLkixLcky6Hp7k8nZ8xySV5NFt/7+SbJzkxUkuSXJlkm8neUSS9ZJ0kjys9V0vyfVJHpbk5e0ci5OcP/13TpIkSdJ0sbhbiSS7AC8DdgSeD8yf0OXbwK5JHtT29wO+lGQL4L3AnlW1E/A94G9an6Oqapeq2gHYCHhRVd0MbJjkwcAzWv9nJNkauLmqfgNcCDy1qp4MfAl4Z1XdC5wI7N/G3hNYXFW3AIcBf1JVOwJ7r8HbIkmSJGnAuCxz5XYDTquqO4A7kny992BV3Z3kTODFSb4CvBB4J/BMYHtgYRKABwAXtY/9cZJ3AhsDmwFXAV8H/rOdbw/gn4C9gAAXtM9tBZycZMs23o2t/VjgNODjwF8Ax7X2hcDxSb4MnLqii+x0OqtwS6Qu80arw/xRv8wd9cvcUb8GJXdGR0dXeNzibs34EvAm4Fbge1X1y3Qrum9V1St6OybZEDgamF9VP0xyOLBhO3w+3Vm7rekWa+8CCjijHT8S+GhVLUjyLOBwgDbOT5M8G3gKbRavql6fZFe6BeflSXauqp9PdgErSxRpok6nY96ob+aP+mXuqF/mjvo1m3LHZZkrt5DurNyG7Zm5F03S57vATsBr6BZ6ABcDuyV5HECSByXZhvsLuZ+18fbtGecC4ACg05Zb3gq8gO5yTIAR4Ka2feCEGD5Ld3nmKVV1TzvnY6vqkvbyl1uAR63y1UuSJEmaFSzuVqKqLgMWAEuAbwJLgbEJfe4BTqf7TN7pre0W4CDgi0mW0F2SuW1V3Q58BlgGnAVc1jPOD+guwxx/+cmFwO1VdVvbPxw4pb145WcTQl0AbML9SzIBPpxkaZJldJd8Lu7nHkiSJEkafKmqmY5h4CXZpKp+lWRjuoXXa6vqipmOq1eS+cDHquoZU/3M2NiYX776NpuWKGjwmD/ql7mjfpk76teg5s7IyEgmtvnM3dQck2R7uksqTxjAwu7dwBu4/42ZkiRJktYxFndTUFWvnOkYVqSqjgCOmOk4JEmSJM0cn7mTJEmSpCFgcSdJkiRJQ8DiTpIkSZKGgMWdJEmSJA0BiztJkiRJGgIWd5IkSZI0BCzuJEmSJGkIWNxJkiRJ0hCwuJMkSZKkIbBOFXdJ5iZZNkn7eUnm9zHe4UkO7TOWg5Ic1bYf32JYlOSaJMdM7LMK4/5dP/FIkiRJmt3WqeJugH0C+FhVzauq7YAjV2MsiztJkiRpHbQuFndzkpzUZsi+kmTj3oNJXpFkaZJlST7Y075XkiuSLE5yzsRBk7wmyTeTbJTkgCSXtpm4TydZv/U5OMl1SS4Fduv5+JbAj8Z3qmppz7FHJjkzSSfJh1YUZ5IjgI3aeU9K8qAkZ7SYlyXZbzXvnSRJkqQBlaqa6RimTZK5wI3A7lW1MMmxwNXAi4BDgR8DFwM7A7cBZ9OdVVsIXAHsUVU3Jtmsqm5NcjjwK+AO4LnAnwGPAT4EvLSq7kpydBvzW8Albewx4Fzgyqp6U5KDgY8D/9nOeVxV3Z7kIOAw4MnAncC1wO7APZPFWVVfS/KrqtqkXe/LgL2q6jVtf6Sqxsbvx9jY2H1ffqfTWf0bLEmSJGmtGR0dvW97ZGQkE4/PmdZoBsMPq2ph2z4ReEvPsV2A86rqFoAkJwF70C2mzq+qGwGq6taez7wa+CHwklbMPYdu0XVZEoCNgJuBXSeMfTKwTRvvuCRnAXsB+wCvS7JjG/+c8YIsydXA1sDmy4nzaxOudSnwkTazd3pVXbC8m9KbKNJUdDod80Z9M3/UL3NH/TJ31K/ZlDvr4rLMiVOVqzt1uRSYC2zV9gOc0J6fm1dVj6+qw1caVNWPq+rYqtoHuBvYoR26s6fbPaxCQV5V1wE7tRg/kOSwqX5WkiRJ0uyyLhZ3j07ytLb9SuDCnmOXAs9MskV7Tu4VwHfpLoHcI8kfASTZrOczVwKvAxYkeSRwDrBvkoeP902yNd0lmc9MsnmSDYCXjw/QnufboG3/Ad2ZuZtWcA3LixPgrp6xHgn8pqpOBD5Mt9CTJEmSNITWxWWZ1wJv7Hne7pPAiwGq6idJ3k33ebgAZ1TVaQBJXgucmmQ9usssnzs+YFVd2H4lwhmt/b3A2a3vXcAbq+ri9ozeRcDtwKKemJ4H/GuSO9r+O6rqf9uyzt+zojiBY4AlSa4APgd8OMm9LY439HXHJEmSJA28deqFKvpdvS9UkVbVbFp/rsFj/qhf5o76Ze6oX4OaO5O9UGVdXJYpSZIkSUPH4k6SJEmShoDFnSRJkiQNAYs7SZIkSRoCFneSJEmSNAQs7iRJkiRpCFjcSZIkSdIQsLiTJEmSpCFgcSdJkiRJQ8DiTpIkSZKGgMWdJEmSJA0Bi7tZJMncJMsmaX9/kj3b9luTbDz90UmSJEmaSRZ3Q6CqDquqb7fdtwIWd5IkSdI6xuJu9lk/yWeSXJXk7CQbJTk+yb5J3gI8Ejg3yblJ1m/HliVZmuRtMx28JEmSpLUjVTXTMWiKkswFrgfmV9WiJF8GFgB7AqdX1VeS/KAd/1mSnYEjquq57fMPqarbx8cbGxu778vvdDrTdyGSJEmSVtno6Oh92yMjI5l4fM60RqM14caqWtS2LwfmrqDvDcBjkhwJnAGcvbyOvYkiTUWn0zFv1DfzR/0yd9Qvc0f9mk2547LM2efOnu17WEGBXlW3ATsC5wGvBz67ViOTJEmSNGOcuRs+vwQ2BX6WZAvg/6rqq0muBU6c2dAkSZIkrS0Wd8PnGODMJD+m++bM45KMz9D+7cyFJUmSJGltsribRarqB8AOPfv/MkmfI4Eje5p2WvuRSZIkSZppPnMnSZIkSUPA4k6SJEmShoDFnSRJkiQNAYs7SZIkSRoCFneSJEmSNAQs7iRJkiRpCFjcSZIkSdIQsLiTJEmSpCFgcSdJkiRJQ8DiTpIkSZKGgMWdJEmSJA0Bi7uVSPKQJH+1kj5zkyybrpgkSZIkaSKLu5V7CLDC4k6SJEmSZprF3codATw2yaIkH0tyTpIrkixNss/Ezkkek+TKJLskeWySM5NcnuSCJNu2Pi9Ocknr9+0kj2jtS9tMYZL8PMmrW/vnkjy3zRBe0M5/RZKn9xx/SU8MJyXZJ8kTklzaYl+SZHRa7pgkSZKkaZeqmukYBlqSucDpVbVDkjnAxlX1iyRbABcDo8DWwOnAy4AvAQdV1eIk5wCvr6pOkl2Bf66qZyd5KHB7VVWSvwS2q6q3J/kU8HXgv4HjgEVV9ZokHWAeUMC9VXVHK9S+WFXzkzwTeFtVvSTJCLCoxfUx4OKqOinJA4D1q+q349c2NjZ235ff6XTW2j2UJEmStPpGR++fqxkZGcnE43OmNZrZL8A/JdkDuBf4Q+AR7djDgNOAl1bV1Uk2AZ4OnJLcd98f2P7cCjg5yZbAA4AbW/sFwB50i7tPAq9N8ofAbVX161a4HZVkHnAPsA1AVX03ydFJHka3wPxqVd2d5CLgPUm2Ak6tquVWcL2JIk1Fp9Mxb9Q380f9MnfUL3NH/ZpNueOyzFWzP90ibueqmgf8FNiwHRsD/gfYve2vR3d2bl7Pz3bt2JHAUVX1ROB1PWOcDzyj/ZwH3ALsS7foA3hbO+eOwHy6heG4zwEHAAcDxwJU1ReAvYHfAt9I8uw1cA8kSZIkDSCLu5X7JbBp2x4Bbq6qu5L8Md3lmOP+D/hT4NVJXllVvwBuTPJygPYc3Y4949zUtg8cH6CqfghsAYxW1Q3AhcChdIu+8c/9pKruBV4FrN9z/uOBt7Zxrm7nfAxwQ1V9gu6s4pNW50ZIkiRJGlwWdytRVT8HFrZfdTAPmJ9kKfBq4PsT+v4aeBHwtiR7053pOyTJYuAqYPwFLIfTXa55OfCzCae8BLiubV9Ad+nnhW3/aODANt62wK97zv1T4Bq6z+qN+zNgWZJFwA50Z/ckSZIkDSGfuZuCqnrlFLrt0PreDuzS077XJOOdRncmbbJzvapn+z/pKcDbM3O9s2/vGt9IsjHdl6h8saf/EXTf9ilJkiRpyDlzNwSS7El31u7Iqhqb6XgkSZIkTT9n7oZAVX2b333+T5IkSdI6xpk7SZIkSRoCFneSJEmSNAQs7iRJkiRpCFjcSZIkSdIQsLiTJEmSpCFgcSdJkiRJQ8DiTpIkSZKGgMWdJEmSJA0Bi7shlOTwJIfOdBySJEmSpo/FnSRJkiQNAYu7AZPkfUmuTXJhki8mOTTJvCQXJ1mS5D+SPLT1fU2Sy5IsTvLVJBtPMt5bklzdPvul6b8iSZIkSdPB4m6AJNkFeBmwI/B8YH479DngXVX1JGAp8Pet/dSq2qWqdgSuAQ6ZZNh3A09un3392oxfkiRJ0syZM9MB6HfsBpxWVXcAdyT5OvAg4CFV9d3W5wTglLa9Q5IPAA8BNgHOmmTMJcBJSb4GfG15J+50OmvoErQuMW+0Oswf9cvcUb/MHfVrUHJndHR0hcct7ma344GXVNXiJAcBz5qkzwuBPYAXA+9J8sSquntip5UlijRRp9Mxb9Q380f9MnfUL3NH/ZpNueOyzMGyEHhxkg2TbAK8CPg1cFuSZ7Q+rwLGZ/E2BX6SZANg/4mDJVkPeFRVnQu8CxihO8MnSZIkacg4czdAquqyJAvoLqX8Kd3n68aAA4FPtRem3AAc3D7yPuAS4Jb256YThlwfODHJCBDgE1V1+1q/EEmSJEnTzuJu8PxLVR3eCrnzgcurahHw1Ikdq+qTwCcnaT+8Z3f3tRWoJEmSpMFhcTd4jkmyPbAhcEJVXTHTAUmSJEkafBZ3A6aqXjnTMUiSJEmafXyhiiRJkiQNAYs7SZIkSRoCFneSJEmSNAQs7iRJkiRpCFjcSZIkSdIQsLiTJEmSpCFgcSdJkiRJQ8DiTpIkSZKGgMWdJEmSJA2Bvoq7JD9IskW/J00yL8kLevYPSnLUhD7nJZnf7zkmjLVK8Y7Hk+Q9SRa1n3t6tt+S5LNJtl9D8T0hyXeSXJukk+R9STKFz/1qTZxfkiRJ0uw3Z7pPmGQOMA+YD3xjus+/KqrqH4F/hG4hVVXz1vQ5kmwELADeUFVnJ9kY+CrwV8C/renzSZIkSRpOK525S/KgJGckWZxkWZL92qE3J7kiydIk27a+myX5WpIlSS5O8qTWfniSzydZCHweeD+wX5sF22/yM/9ODJ9M8r0kVyX5h572HyT5h0ni2DzJ2a3/Z4H0fOaAJJe2c386yfqt/eAk1yW5FNhtCjHdN7OY5FdJPtzO9+0kT2nHb0iyd+uzfutzWbs/r2tDvRJYWFVnA1TVb4A3Ae/uuXfH9oz3luXE8652DxYnOaK1PTbJmUkuT3LB+P2RJEmSNHymMnO3F/DjqnohQJIR4IPAz6pqpyR/BRwK/CXwD8CVVfWSJM8GPkd3lg5ge2D3qvptkoOA+VX1pjbmQXSLvd17zvu4nu33VNWtrRA7J8mTqmpJOzZZHH8PXFhV70/yQuCQdp7tgP2A3arqriRHA/sn+VaLfWdgDDgXuHIK92bcg4DvVNU7kvwH8AHgue2aT6A7M3cIMFZVuyR5ILAwydnAE4DLewerqv9KskmSB7embYE/BjYFrk3yyaq6a7x/kucD+wC7VtVvkmzWDh0DvL6qOkl2BY4Gnj3ZBXQ6nVW4XKnLvNHqMH/UL3NH/TJ31K9ByZ3R0dEVHp9KcbcU+EiSDwKnV9UF7XGwU9vxy4GXtu3dgZcBVNV32gzaeIGyoKp+u4LznDxe7EF3Zqzn2J8leW2Ld0u6RdN4cTdZHHuMb1fVGUlua+3PoVvAXdauYSPgZmBX4LyquqWd+2RgmxXdlAn+DzizbS8F7mzF41Jgbmt/HvCkJPu2/RFgxd/O/c6oqjuBO5PcDDwC+FHP8T2B49qsH60Q3gR4OnBKz+N7D1zeCVaWKNJEnU7HvFHfzB/1y9xRv8wd9Ws25c5Ki7uqui7JTsALgA8kOacdurP9ec9UxgF+3U+ASf6I7ozcLlV1W5LjgQ17uqxKHAFOqKq/nXCOl/QTW4+7qqra9r3jMVXVve0Zw/Fzv7mqzppw7kfTLUZ72x4D/KqqftEKszt7Dk/1fq8H3L42nhOUJEmSNHim8szdI4HfVNWJwIeBnVbQ/QJg//a5Z9FdMvmLSfr9ku4Sw6l4MN3CcCzJI4DnT+Ez59N9lm18yeJDW/s5wL5JHt6ObZZka+AS4JltpnED4OVTjG1VnAW8oY1Pkm2SPAg4Cdg9yZ6tfSPgE8CHVmHsbwEHp/syFpJs1u77jUle3tqSZMc1dzmSJEmSBslUfhXCE4FLkyyi+yzbB1bQ93Bg5yRLgCOAA5fT71xg+6m8UKWqFtN9/u37wBeAhVOI+R+APZJcRXd55v+0sa4G3guc3WL8FrBlVf2kxX5RG/+aKZxjVX0WuBq4Isky4NPAnLZUdR/gvUmupbus8zLgqOWONEFVnUn3ub7vte/p0HZof+CQJIuBq9p5JEmSJA2h3L+aUOuasbExv3z1bTatP9fgMX/UL3NH/TJ31K9BzZ2RkZHf+73Yff0Sc0mSJEnSYLG4kyRJkqQhYHEnSZIkSUPAZ+7WYT5zJ0mSJM1OPnMnSZIkSUPK4k6SJEmShoDLMiVJkiRpCDhzJ0mSJElDwOJOkiRJkoaAxd06IsleSa5Ncn2Sd09y/IFJTm7HL0kyd/qj1CCaQu78TZKrkyxJck6SrWciTg2eleVOT7+XJakk86czPg2uqeROkj9rf/dcleQL0x2jBtcU/rv16CTnJrmy/bfrBTMRpwZLkmOT3Jxk2XKOJ8knWl4tSbLTdMc4FRZ364Ak6wP/Bjwf2B54RZLtJ3Q7BLitqh4HfAz44PRGqUE0xdy5EphfVU8CvgJ8aHqj1CCaYu6QZFPgr4FLpjdCDaqp5E6SUeBvgd2q6gnAW6c9UA2kKf7d817gy1X1ZODPgaOnN0oNqOOBvVZw/PnAaPt5LfDJaYhplVncrRueAlxfVTdU1f8BXwL2mdBnH+CEtv0V4DlJfu93Z2ids9Lcqapzq+o3bfdiYKtpjlGDaSp/7wD8P7r/mHTHdAangTaV3HkN8G9VdRtAVd08zTFqcE0lfwp4cNseAX48jfFpQFXV+cCtK+iyD/C56roYeEiSLacnuqmzuFs3/CHww579H7W2SftU1d3AGLD5tESnQTaV3Ol1CPDNtRqRZouV5k5b0vKoqjpjOgPTwJvK3zvbANskWZjk4iQr+td2rVumkj+HAwck+RHwDeDN0xOaZrlV/X+iGTFnpgOQNBySHADMB54507Fo8CVZD/gocNAMh6LZaQ7dpVHPorta4PwkT6yq22c0Ks0WrwCOr6qPJHka8PkkO1TVvTMdmLS6nLlbN9wEPKpnf6vWNmmfJHPoLlP4+bREp0E2ldwhyZ7Ae4C9q+rOaYpNg21lubMpsANwXpIfAE8FFvhSFTG1v3d+BCyoqruq6kbgOrrFnjSV/DkE+DJAVV0EbAhsMS3RaTab0v8TzTSLu3XDZcBokj9K8gC6Dw8vmNBnAXBg294X+E75G+41hdxJ8mTg03QLO5970bgV5k5VjVXVFlU1t6rm0n1ec++q+t7MhKsBMpX/Zn2N7qwdSbagu0zzhukMUgNrKvnzP8BzAJJsR7e4u2Vao9RstAB4dXtr5lOBsar6yUwHNZHLMtcBVXV3kjcBZwHrA8dW1VVJ3g98r6oWAP9Od1nC9XQfJv3zmYtYg2KKufNhYBPglPYOnv+pqr1nLGgNhCnmjvR7ppg7ZwHPS3I1cA/wjqpytYmmmj9vBz6T5G10X65ykP+grSRfpPuPRlu05zH/HtgAoKo+Rff5zBcA1wO/AQ6emUhXLOayJEmSJM1+LsuUJEmSpCFgcSdJkiRJQ8DiTpIkSZKGgMWdJEmSJA0BiztJkiRJGgIWd5IkSZI0BCzuJEmSJGkI/H8ESXDTO/d/IAAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 864x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "learner_t.plot_importance(X=X, \n",
        "                         tau=tlearner_tau, \n",
        "                         normalize=True, \n",
        "                         method='auto', \n",
        "                         features=feature_names)"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "bf647779",
      "metadata": {
        "id": "bf647779"
      },
      "source": [
        "### XGBTRegressor with TLearner, \"auto\" method"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 29,
      "id": "e77aebbe",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "e77aebbe",
        "outputId": "8c6dd252-6ad9-4363-9a81-cfac519621e0"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[02:16:33] WARNING: /workspace/src/objective/regression_obj.cu:152: reg:linear is now deprecated in favor of reg:squarederror.\n",
            "[02:16:35] WARNING: /workspace/src/objective/regression_obj.cu:152: reg:linear is now deprecated in favor of reg:squarederror.\n",
            "[02:16:37] WARNING: /workspace/src/objective/regression_obj.cu:152: reg:linear is now deprecated in favor of reg:squarederror.\n",
            "[02:16:39] WARNING: /workspace/src/objective/regression_obj.cu:152: reg:linear is now deprecated in favor of reg:squarederror.\n",
            "Using the ready-to-use XGBTRegressor class\n",
            "(array([0.06559233]), array([0.05833866]), array([0.07284601]))\n"
          ]
        }
      ],
      "source": [
        "# T Learner\n",
        "learner_t = BaseTRegressor(learner=XGBRegressor())\n",
        "ate_t = learner_t.estimate_ate(X=X, treatment=treatment, y=y)\n",
        "cate_t = learner_t.fit_predict(X=X, treatment=treatment, y=y)\n",
        "print('Using the ready-to-use XGBTRegressor class')\n",
        "print(ate_t)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 30,
      "id": "fdf7a51c",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "fdf7a51c",
        "outputId": "19814d87-29b0-4c4f-d487-843caf3eba56"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{1: timeOnIce                0.439668\n",
              " pim                      0.156851\n",
              " goals                    0.112546\n",
              " shortHandedTimeOnIce     0.052364\n",
              " powerPlayTimeOnIce       0.045622\n",
              " goalieReplacement_No     0.044032\n",
              " powerPlayGoals           0.041797\n",
              " settledIn_OT             0.037183\n",
              " evenTimeOnIce            0.021360\n",
              " penalties                0.017472\n",
              " hits                     0.009164\n",
              " faceOffWinPercentage     0.006395\n",
              " blockedShots             0.004417\n",
              " missedShots              0.003784\n",
              " giveaways                0.003199\n",
              " shots                    0.002896\n",
              " takeaways                0.000835\n",
              " startRinkSide_left       0.000185\n",
              " settledIn_REG            0.000163\n",
              " hoa_away                 0.000067\n",
              " startRinkSide_right      0.000000\n",
              " goalieReplacement_Yes    0.000000\n",
              " dtype: float64}"
            ]
          },
          "metadata": {},
          "execution_count": 30
        }
      ],
      "source": [
        "learner_t.get_importance(X=X, \n",
        "                        tau=cate_t,\n",
        "                        normalize=True, \n",
        "                        method='auto', \n",
        "                        features=feature_names)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 31,
      "id": "6c6f4685",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 496
        },
        "id": "6c6f4685",
        "outputId": "61c6db15-bdf9-4354-f7a0-445f061e060c"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "learner_t.plot_importance(X=X, \n",
        "                         tau=cate_t, \n",
        "                         normalize=True, \n",
        "                         method='auto', \n",
        "                         features=feature_names)"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "f3552858",
      "metadata": {
        "id": "f3552858"
      },
      "source": [
        "### XGBTRegressor with X Learner with propensity score input"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 32,
      "id": "ff755235",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ff755235",
        "outputId": "fee8fd5f-5282-41c6-844e-1f7f036642c4"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[02:16:44] WARNING: /workspace/src/objective/regression_obj.cu:152: reg:linear is now deprecated in favor of reg:squarederror.\n",
            "[02:16:46] WARNING: /workspace/src/objective/regression_obj.cu:152: reg:linear is now deprecated in favor of reg:squarederror.\n",
            "[02:16:48] WARNING: /workspace/src/objective/regression_obj.cu:152: reg:linear is now deprecated in favor of reg:squarederror.\n",
            "[02:16:50] WARNING: /workspace/src/objective/regression_obj.cu:152: reg:linear is now deprecated in favor of reg:squarederror.\n",
            "Using the BaseXRegressor class and using XGB:\n",
            "[[0.0374374 ]\n",
            " [0.08051749]\n",
            " [0.01112615]\n",
            " ...\n",
            " [0.03127507]\n",
            " [0.04285174]\n",
            " [0.03127507]]\n"
          ]
        }
      ],
      "source": [
        "# X Learner with propensity score input\n",
        "learner_x = BaseXRegressor(learner=XGBRegressor())\n",
        "e = df.propensity\n",
        "cate_x = learner_x.fit_predict(X=X, treatment=treatment, y=y,p=e)\n",
        "print('Using the BaseXRegressor class and using XGB:')\n",
        "print(cate_x)"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "5f15aef1",
      "metadata": {
        "id": "5f15aef1"
      },
      "source": [
        "### XGBTRegressor with R Learner with propensity score input "
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 33,
      "id": "87b39861",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "87b39861",
        "outputId": "6e2337e2-8bad-4aef-c011-cf0911fce8c8"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[02:17:07] WARNING: /workspace/src/objective/regression_obj.cu:152: reg:linear is now deprecated in favor of reg:squarederror.\n"
          ]
        }
      ],
      "source": [
        "# R Learner with propensity score input \n",
        "learner_r = BaseRRegressor(learner=XGBRegressor())\n",
        "cate_r = learner_r.fit_predict(X=X, treatment=treatment, y=y,p=e)"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "c02a8bad",
      "metadata": {
        "id": "c02a8bad"
      },
      "source": [
        "### A distribution plot of different learners of XGBTRegressor"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 34,
      "id": "c25e93e3",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 550
        },
        "id": "c25e93e3",
        "outputId": "00a38dd0-badd-444c-9951-3144f1f10d10"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Adding an axes using the same arguments as a previous axes currently reuses the earlier instance.  In a future version, a new instance will always be created and returned.  Meanwhile, this warning can be suppressed, and the future behavior ensured, by passing a unique label to each axes instance.\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "alpha=0.2\n",
        "bins=30\n",
        "plt.figure(figsize=(12,8))\n",
        "plt.hist(cate_t, alpha=alpha, bins=bins, label='T Learner')\n",
        "plt.hist(cate_x, alpha=alpha, bins=bins, label='X Learner')\n",
        "plt.hist(cate_r, alpha=alpha, bins=bins, label='R Learner')\n",
        "# Consider having this\n",
        "plt.vlines(cate_t[0], 0, plt.axes().get_ylim()[1], label='S Learner',\n",
        "           linestyles='dotted', colors='green', linewidth=2)\n",
        "# Or this\n",
        "plt.axvline(x=-0.130 ,color=\"black\", linestyle=\"--\", label = \"S Learner\", linewidth=2)\n",
        "\n",
        "plt.title('Distribution of CATE Predictions by Meta Learner')\n",
        "plt.xlabel('Individual Treatment Effect (ITE/CATE)')\n",
        "plt.ylabel('# of Samples')\n",
        "_=plt.legend()"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "9e52f7b4",
      "metadata": {
        "id": "9e52f7b4"
      },
      "source": [
        "### Uplift Tree/Forest"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 35,
      "id": "8b443ff4",
      "metadata": {
        "id": "8b443ff4"
      },
      "outputs": [],
      "source": [
        "# UpliftTreeClassifier\n",
        "from causalml.dataset import make_uplift_classification"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 36,
      "id": "fc70b80e",
      "metadata": {
        "id": "fc70b80e"
      },
      "outputs": [],
      "source": [
        "uplift_tree = UpliftTreeClassifier(control_name='control')\n",
        "uplift_tree.fit(X=X,\n",
        "                treatment=w_multi, \n",
        "                y=y)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 37,
      "id": "33a3a9dc",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 532
        },
        "id": "33a3a9dc",
        "outputId": "81723115-b987-4a04-a5bf-16e1b0b31e19"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7f9ee812c090>"
            ]
          },
          "metadata": {},
          "execution_count": 37
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x576 with 1 Axes>"
            ]
          },
          "metadata": {}
        }
      ],
      "source": [
        "pd.Series(uplift_tree.feature_importances_, index=feature_names).sort_values().plot(kind='barh', figsize=(12,8))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 38,
      "id": "03cdd147",
      "metadata": {
        "id": "03cdd147"
      },
      "outputs": [],
      "source": [
        "# UpliftRandomForestClassifier\n",
        "uplift_rf = UpliftRandomForestClassifier(control_name='control')\n",
        "\n",
        "uplift_rf.fit(X=X.values,treatment=w_multi.values, y=y.values)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 39,
      "id": "49ac87a0",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 532
        },
        "id": "49ac87a0",
        "outputId": "572111e3-3e7e-4dad-d58c-efd396002bef"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7f9ee834cb90>"
            ]
          },
          "metadata": {},
          "execution_count": 39
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x576 with 1 Axes>"
            ]
          },
          "metadata": {}
        }
      ],
      "source": [
        "pd.Series(uplift_rf.feature_importances_, index=feature_names).sort_values().plot(kind='barh', figsize=(12,8))"
      ]
    }
  ],
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3 (ipykernel)",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.8.3"
    },
    "colab": {
      "name": "NHL- Causal Inference.ipynb",
      "provenance": [],
      "collapsed_sections": []
    }
  },
  "nbformat": 4,
  "nbformat_minor": 5
}