{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "neural-opera",
   "metadata": {},
   "source": [
    "# Explaining model using SHAP\n",
    "\n",
    "View the graphs using this link: https://nbviewer.jupyter.org/github/chaitanyakasaraneni/SHAP_EBM_Examples/blob/main/SHAP%20Example.ipynb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "dying-beginning",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import plotly\n",
    "np.random.seed(0)\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "portuguese-complex",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv('data/winequality-red.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "romance-prospect",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1599, 12)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "painful-eligibility",
   "metadata": {},
   "outputs": [],
   "source": [
    "df.columns\n",
    "df['quality'] = df['quality'].astype(int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "raised-flight",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>fixed acidity</th>\n",
       "      <th>volatile acidity</th>\n",
       "      <th>citric acid</th>\n",
       "      <th>residual sugar</th>\n",
       "      <th>chlorides</th>\n",
       "      <th>free sulfur dioxide</th>\n",
       "      <th>total sulfur dioxide</th>\n",
       "      <th>density</th>\n",
       "      <th>pH</th>\n",
       "      <th>sulphates</th>\n",
       "      <th>alcohol</th>\n",
       "      <th>quality</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>7.4</td>\n",
       "      <td>0.70</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.9</td>\n",
       "      <td>0.076</td>\n",
       "      <td>11.0</td>\n",
       "      <td>34.0</td>\n",
       "      <td>0.9978</td>\n",
       "      <td>3.51</td>\n",
       "      <td>0.56</td>\n",
       "      <td>9.4</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>7.8</td>\n",
       "      <td>0.88</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.6</td>\n",
       "      <td>0.098</td>\n",
       "      <td>25.0</td>\n",
       "      <td>67.0</td>\n",
       "      <td>0.9968</td>\n",
       "      <td>3.20</td>\n",
       "      <td>0.68</td>\n",
       "      <td>9.8</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>7.8</td>\n",
       "      <td>0.76</td>\n",
       "      <td>0.04</td>\n",
       "      <td>2.3</td>\n",
       "      <td>0.092</td>\n",
       "      <td>15.0</td>\n",
       "      <td>54.0</td>\n",
       "      <td>0.9970</td>\n",
       "      <td>3.26</td>\n",
       "      <td>0.65</td>\n",
       "      <td>9.8</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>11.2</td>\n",
       "      <td>0.28</td>\n",
       "      <td>0.56</td>\n",
       "      <td>1.9</td>\n",
       "      <td>0.075</td>\n",
       "      <td>17.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>0.9980</td>\n",
       "      <td>3.16</td>\n",
       "      <td>0.58</td>\n",
       "      <td>9.8</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>7.4</td>\n",
       "      <td>0.70</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.9</td>\n",
       "      <td>0.076</td>\n",
       "      <td>11.0</td>\n",
       "      <td>34.0</td>\n",
       "      <td>0.9978</td>\n",
       "      <td>3.51</td>\n",
       "      <td>0.56</td>\n",
       "      <td>9.4</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   fixed acidity  volatile acidity  citric acid  residual sugar  chlorides  \\\n",
       "0            7.4              0.70         0.00             1.9      0.076   \n",
       "1            7.8              0.88         0.00             2.6      0.098   \n",
       "2            7.8              0.76         0.04             2.3      0.092   \n",
       "3           11.2              0.28         0.56             1.9      0.075   \n",
       "4            7.4              0.70         0.00             1.9      0.076   \n",
       "\n",
       "   free sulfur dioxide  total sulfur dioxide  density    pH  sulphates  \\\n",
       "0                 11.0                  34.0   0.9978  3.51       0.56   \n",
       "1                 25.0                  67.0   0.9968  3.20       0.68   \n",
       "2                 15.0                  54.0   0.9970  3.26       0.65   \n",
       "3                 17.0                  60.0   0.9980  3.16       0.58   \n",
       "4                 11.0                  34.0   0.9978  3.51       0.56   \n",
       "\n",
       "   alcohol  quality  \n",
       "0      9.4        5  \n",
       "1      9.8        5  \n",
       "2      9.8        5  \n",
       "3      9.8        6  \n",
       "4      9.4        5  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "posted-antibody",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['quality'].hist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "unique-vampire",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn import preprocessing\n",
    "from sklearn.ensemble import RandomForestRegressor\n",
    "\n",
    "Y = df['quality']\n",
    "X =  df[['fixed acidity', 'volatile acidity', 'citric acid', 'residual sugar',\n",
    "       'chlorides', 'free sulfur dioxide', 'total sulfur dioxide', 'density',\n",
    "       'pH', 'sulphates', 'alcohol']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "collected-malpractice",
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train, X_test, Y_train, Y_test = train_test_split(X, Y, test_size = 0.25)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "injured-ozone",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "RandomForestRegressor(max_depth=6, n_estimators=10, random_state=0)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model = RandomForestRegressor(max_depth=6, random_state=0, n_estimators=10)\n",
    "model.fit(X_train, Y_train)  "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "interested-following",
   "metadata": {},
   "source": [
    "### Feature Importance using SHAP - Global Interpretability"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "involved-sunset",
   "metadata": {},
   "outputs": [],
   "source": [
    "import shap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "decimal-sunglasses",
   "metadata": {},
   "outputs": [],
   "source": [
    "shap_values = shap.TreeExplainer(model).shap_values(X_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "representative-singer",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x424.8 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "shap.summary_plot(shap_values, X_train, plot_type=\"bar\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "harmful-turtle",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x424.8 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "shap.summary_plot(shap_values, X_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "vietnamese-password",
   "metadata": {},
   "source": [
    "Based on the graph, high quality rating of wine is associated with the following characteristics:\n",
    "\n",
    "- High alcohol content\n",
    "- High sulphates\n",
    "- Low volatile acidity\n",
    "- Low total sulfuer dioxide\n",
    "- Low pH\n",
    "- Low chlorides\n",
    "- Low citric acid\n",
    "- Low density\n",
    "- High fixed acidity content\n",
    "- High free sulfur dioxide\n",
    "- High residual sugar"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "suspected-video",
   "metadata": {},
   "source": [
    "### Effects of Single Feature on the output - All Data (Global Interpretability)\n",
    "\n",
    "The partial dependence plot shows the marginal effect one or two features have on the predicted outcome of a machine learning model. It tells whether the relationship between the target and a feature is linear, monotonic or more complex. In order to create a dependence plot, you only need one line of code: \n",
    "\n",
    "```shap.dependence_plot(\"alcohol\", shap_values, X_train)```\n",
    "\n",
    "The function automatically includes another variable that your chosen variable interacts most with. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "sticky-trauma",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "shap.dependence_plot(\"alcohol\", shap_values, X_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "solar-upset",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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q8cZsBPoD34e3G5bEW40E706oKLeGZ/6whoDfCdahINx7YxYvvFtCQpyLH5+ZzKxny6j2ushPTsBV6mfc379kU1Y6Q7bm8s83Z3Kqax5r1vakhlgK0hLZ1DebzLxCMmwV38cmMbOfU7UetzKXXtu3AuDCMnDlSha7nWlTiz2pxNdUOpka1ksCtxCinbVMtblS6o/AZOAka231XpK+AlyhlHodp8Pa6cD0FslEEyR4dyLFJQFSkj0U5tbUBm6A/K1VHNfXy++vzqjdV+pyM3dgJn63iwmbduANWgZty6XC6yHeH2D7jw5j4j1P4yeG+SkjmDTtAIYf3B89PZV171SQ+V01SUVV+L4ppMrjJTbgTPjiGpyJa4ubUE2Ib1OmMrJqOcMvGQg3nt7Wfw4hhKhnH4aKPQCcCeQAnyil8oEfAbcAK4E54c5s66y1Z4TPeQ+41VprcIaUTQVWhS95h7V2bQu8lCZJ8O4EysoCXPOrrdTUWNxuuOf2HHoNjmPrmkrcHsWkozN2O+fpEUP5ZMRAACZv3MbPZs5DWfCGq8d3ZvbnS30+vUq2sza9H6celcbAA1IB+NMp8VzUK8ALt20Ht4eXphzLIduXMfz4Xnj/dCqHrSjj++u/paqgiqUFo1n2oiWzeBmHPJPVZn8TIYRoaB96m18PXN/IoT1eyFp7YsTzIHvuid6qJHh3Av94KJ+aGqekHQzC3x/K454/D2PT8nJSs31k9Nq9uvrbAb1qn8/t15Nqt4vStCTSi0oZc/kwSmK9lMQmUxLrDP2qKgkQnLmK0PtLccWHyF6wianrY/i2/xQ2p/fg9WF9+dWv++JLiSOYGqD4gD6kPTWfzNIKFFD06ioCjx6EJ1beUkKI9iJzm4sOxB+ov/JbMAi+WBeDJyTt8RyXr27cdZzfT17PDN4YN4T8YZnce4yHY9P9rJqVR/G2KvpOSGFIYiU1h/4LFajmrXET+GLwQfTL3saQ3CUsTxvB+A9W8N2b39C/poRq66Ji6GAGllfVflRSK6up2FpO8qCU1vgTCCFEk7rTGpkys0YncO0V6exayEspuO7KzCbPueDQePC5wOtifLbiiSPHMzcnk/Ul8KPXAmx1e7n8hQP46VvTOPeB8aiFmyEQYmV2T16ZeAI7krP4vt84tqVksb5XNmv79iC1rJLVZLCZFEau2YQ/YmKWoNtF0sDkveRICCFal0XVe3RlUvLuBLIyfTxxyk6Knv2GpFPHkzi4f5Pn/PtYD6cPc1EVgJMG+Yi5q6re8ZcXBih1ezDbXZwz3HLNkcMgOZZKb0K9dJtSnaVEczOS2e5LcX49KBclxLNqbE8mbtmO1wWDHzu83ixFQgjR9rrPd5AE787gvbnEnXk3cQBvfAYVZfDTE+olWbYzxD1zgqTEKG4/zE16nOLYAXUl4wGFRaxJT3c2rGXb6lIeyUuGEMxaG2L0RRlMn3sTw99cSta3xexMSMEVClKQmAbAoB4ucKnaeilv3yRGD/CydbMPgpB3x0JOPLFfG/wxhBCicV29tB1Jqs07g2dm1t9+8ct6m4GQ5ejn/TyzMMQ/vw/y47frL/cJ8OGX73PKoqWM3rqdV554nrnBBNg17UDQ8tbKEK4hWaTecBiH3TiUN0b25J1hPVmUnQRT0vnZ0xMZ++CBuBM8xPSIZfxjB1O+toSgSxFwKcrWlxGs3P2+QgjRVqTaXHQsJ06C/35Vt330+HqHS6pha2nd9rK83btt9H/7bB48+b/Y2aW4z5/EaH8FhroOb1Ny6t7oh4yKJfFrP5n5RWxJSuTqaU5Ver9LhtDvkiG16aqUojrGmc/c41G44+TtJIQQbUG+bTuDi4+A4gqnxH3sBLjt3HqH0+MUZ41w8dpypyh95aTdK1Q8vZJJe/sCtr+6ju2//oZzYzYw/8LDWNEzg+NXLSa70sX6c0cwYHwKOTEhlrz2NDFfrsWfFEvGcZfR2Fz7FUU1tc8DAUtVUQ2xqb4WfelCCCF2J8G7s7juJOexBy+f7WHWBktKDEzquXvw3vjRFmb97BtCfktcVgK9dpTx4OMfk5y2iTcnn8DX+ZZv5i7jkr+OJmdHLjFfruV/w4bzxKTJJD1czKMjerOuyPK7TwMk+uDBUSXEpXioKHSqyl0+lwRuIUS76upV5ZEkeHcR655dQ+FtP1AQ7+XuH01l++As/nWMmwk9nDfz8mfXEApPqVoZ56XG5yaupobc1OzaNbuthQ3vb2LzgvnEpKZw+eln4A8v83nMoxVsC7gprIQbvvyc9M8/4WjlYu6gsRQnpnLQ/bp9XrgQQoRJ8O6EtNbDgKdxJofPBy42xqxqkOb/gPOAQPhxizHmw/Cx24GfAlvDyb8yxlzbNrnfP4HyAD/8di42aKEyyNRX5nPTRUfzozcDLL3Cg8elSOqXyDZyAXCFQmQHdpCZ5Cc/NpsqpdgRH0vP8gqCKzZz1OgzOJTVtYEbIDe3hoDLDTE+bvhyFgAeG0KvWcQShrP1mtn0XHVuo/kTQoi2IcG7M3oYeNAY85zW+iLgEeDIBmm+A/5ijKnQWo8HZmmtexpjwktj8Ywx5oY2zHPLcSkIhlcZcylQsKoUEv4R5MGjXFxyyzhcXhclT81lVO48eoe24S+NI//4aTxS04/8+Hh6lJeTU72cGreHT4cPwVPmBGxPMMR581cyqKiEJyeOZFtyMoML8gGowUu1141dXUKwMiCd1oQQ7UZmWOtktNbZwCTgxfCuF4FJWut6K2UYYz40xlSENxfi/EzbfVWPTsaT4EH/ZQq+dB+BnAQeP3Ji+H9WUROEaz8NoeLcTL19AocXfUvvqm0AeKnkDVcq+fHxAOxISGDdiko8O8ugpAZPlZ9fzvyWP3xpGFZQjCdkOX7NBs6/5GK+HDOc/Oxsbj78BO48eSqrp/aVwC2EaFfdaahYlwjeOF2htxhjggDhf7fSWBfpOhcDa4wxmyP2nae1Xqi1/khrPa31stvyBvxoIKctPZPz55/CN3/KZmh63RvXF55fBcB98ph65w0anVZve3BuCX9/+yOSqmvIKSln0sbt9N+ZX3t8dO56lvfqyXcPX84ZJ5/Lk1PGM3NIH2alWEL/fB+Ky1vvRQohxF50p+DdLYtKWuvDgDuBYyJ2Pwz80Rjj11ofA7yltR5pjMlv5PwrgSsBcnJy2iLLAFhrueyFCl5cqRibGuLdKxLITtz9DZoRp3j6BDeXfRCkKgAv+hbieqkcTj8A179+AtXVsGwzXHksJ23fwe8/X8HXfXtx6PrNnLRyLS6CHLFpPe4aCAR8gGJrdjH+BDg47xu+OO9CDu2jeODVRADumP06//f1O/AR8MTHYO4Dj3u3fAkhROvq2gE7krK287cShKvNVwIZxpig1tqN02ltqDFmZ4O004CXgdOMMfP2cs25wK+MMbP2du8ZM2bYZ599dr9fQzTe+baCU9+re3Ne3aOSh36aXi+N/Xgx9tpnwO1CPXYZ6vP5cOtLzsGDhsOXfwRXXYVL+X+Xkn/eG7XbihBe6mZKqyCWSuKIpZJsduL2VhNf8yCh7SVceMNGXurVl7lP38ak3I2151R99VdiDxrQsi9eCNHVtHik3aruqBfQetlbu2w07xLV5saYXGA+cH541/nAD40E7inAf4GzGwZurXXviOcTgAHAilbL9D6oWFpUb7tqTcluaez5D8GqHbB8G3bGI/DK13UH56yAbYX10iecO4rU+4/Cd3g/cO/+PlfhLiAxVAMQ9Huo+dssynv9gUdeeJJn3n+PgoS62ocSVwozj5zJ3Blf0BV+GAohOg/b4NGVdYngHXY1cJ3WeiVwXXgbrfV7Wutdg5D/DcQBj2it54cfY8PH7tZaL9ZaLwAeA2YYY7a38WuoEwjCjiJn8HXYyQcncNKCtcTWBBi1KY9fjWhkLvHKulnPqKgh1Kuuz14oJRGyklmbH+LTVQHKa5xrJ//6QHI+n0HvbT9n268P5av+zgIjuQkJPK/Hk0wRyZQQUvDl0N7M/ttcsBZlLact/p4J64opGjmelT0OZGHoIJKq/ZS+uIriebu1OAghRKvpTm3eXaLavD21SrX5+lw4/A7YkAdHjob3boYYLwDF3+5k5+vrSRyfTs4Fg3c71T71Jfaqp5xq86evoORP3+D9YTGKINWk8d13t3HqGyGqAzCup4s51yaS4Kt7k7/+wU7OnpNA7+IStiUkELLQt6SYl155mj+deAzvjJkEwC0ffMjNn36KRRHAhwUWq8F4It5Pw985jsyTZaUxIUSjWjy6blZ31Qtofezvu2wE75Yd1jq8f7zvBG6Az5bA/+bBWVMBSJmaRcrUutK0rQpQ9ck63D0T8U3uibr0ULhwGiiF8rhRDy+katdouBgPTy2F6nCBfeG2EHPWBzhmmLf2egeX5zM4r4rVmRkQCIGCjSmpHHzF9di0uNp0D02fzk2ffU7QOh3TQqj69VRuRdK4+u3xQgjRmrp6aTtSV6o27zpSE+pvpyU0mswGQuQe/Tw7T3mZ7fo/lD32AwDK60GFe3snPHI6nkMH4B6VTeIL5zK8V12g9rpgRQHsKKuLuhljM3n/uee5/533699LuYj1B2u3PSFFMDMV6/YQwMUGehLERcjrJm5YMkOfPIyYfon79WcQQojm6E5t3lLybgdlV79BzSPfAeA9bSRJb15cP8GNp8Cq7TBvHZx3EBw5ppGrQGB1AdVf1Q1TL396IYlXTKyXxj0kk+QvrnLSr8jj15u2Ejoih9mbLF9sgeveD3D37ABzr4qlZ5LCMyyTfu+cx+X/XczOhFz+VZ1NZQhCXjfnzV3IFXNmUen18cBhR8HOciyKKhLITPWjBmcQnLsVVlax8u55bNlRzYBT+5I2LKUF/3pCCNG47lTyluDdDnYFbgD/W8sIBoO4I+YRJz4GnvtZvXPyZm1n58dbSZ+WRY+TnLln3D0TcaXHESpwZnf1js3e4z0rX15M8QWvQTDE9Yf0o/SmC/hsi3NsWyl8ujbIReOdt4PvsAH4DhvAPcA9wNebQ/xlZjV//NPrJFU7vc4f+u9zVLlDuFylxJJPWVkWKckDKcFSHOdjY6ULHlzOsmdWc9qHx5LQM34//2pCCLF33Sl4S7V5J1A0N4/vTvmUtX9bivnRLHa875S2XSmxZH92IQk/GU/y/x1C2t+O2eM1Kh+bC0FnvW//7I1MK6vrCe52wejsPb8VpvVx8coZrtrADZBUU02cyiPHv51s/056hdYQCDemJ1XW0HdTKT03lZG4rpTNDy2jeqvMvCaEEC1Fgnc78F48ofa557ih9UvdjSiam++sGLZr+7u82ue+8T3IePxkUu84DBW754oUz/DM2ucq0cdZR6fxyClerpjs5p0LfExsZA3wSCohhpILnBljd+UkNlRVezw2VE3JsiIAqvBCSOEJWhLLAuTeOY8FE16nelPZXu8hhBD7RzV4dF1Sbd4Okp4+F56OfvnMzMNzcPsUwRqLckHWMT33mNYGQ4TeXgRuF65TxqDCa3Un3XcsKsFLcGMx8dcegCsrgSuzwnO8RiFYE+KXwZF8ccPh3PnR+5y3cD6lrgxiQ5tRwMb4PmyPSaQPhY2crfDvrKLo0630uHRY1K9bCCGao6t3UoskwbsT8CzbxojidZS64kgIVRG7YAMc1KPRtP6Lnib4kjN5nPuKg/A96kw6p+K8JP352H3OQ0V1iFdGDQGluPKsH3HvYUcybudO7vr4OWKqQnzW91CsdRFfWUF6cSUBXIRw4SLkzNLmViSMTWv6RkIIsY+kzVt0KKEdZcRaP1nBEuJtDcEdjbcfW2sJvjK/djv48g8tloedVRbCpXiUYnVWFq+PGsVVp13CkvSRBHETUoq1ORnEuqvpQwGFOV4KMmLxu1yE4n14suL2fhMhhNgP3WmGNQnenUDsj0bjGeuUtN0DUom/fFKj6ZRSqEl9arddk/e2ImrzpCe6iAkEd9s/r2d/QqrubWSBOCpwKT/+eB8qCDbkwl8apPCzbS2WHyGEaKg7BW+pNu8EXKlxZJgrCW4sxt0nGRXr3WPamHevJvCXz8DjxvPrI1ssD6lxbo4a5ub7ZTVUKBflPuet07u4gA9H9mXk5mpiAiFG7NxKXDAABBg/LJbtH5QRcLnwuCBxvMy4JoRoPdLmLToc5fPgGZLRZLrtswtY9Fw1yq0Yf0gh2ce33Pjqt8/38elGLxVVIe79tIavd8LK9BzWT87gV/73uH7RKlTBrsVSLKEPVpMQ52PO5L7UjB/MoWMleAshWlPXLm1HkuDdxSz86TcESvzO8599w9Grz2qxa7tdimMHKA54tIbvc+s+JP/84GmunPc5AWIooD/gIolCMtgOlTVMmf0ZhXOT+WrabRx24cAWy48QQkTq6lXlkaTNu5Mo/X4nm+7+geKZW/eeMOK9q1yt80ZeuL1+5ZTeug4AD9Vks5JEduDB+QERJJZKUkmtLCPu05brQCeEEA11pzZvCd6dQPmCfBYd8jYbf2dYfOS7FH2yZY9pxz9yEL7MGGJ6xDLuwQNbJT99kus+FLH+IB8PnVzveDyFKFXC6qRebHb3I4/BbGMUgw7t0/BSQgjRYpq7MIlS6n6l1DqllFVKjWlqfyPn366UylVKzQ8/Htz/VxEdqTbvBEq+2oGtcaY2xULxzK2kHt270bQ5p/Ql55SW62XemI3FdR8LFevm+YvO4cNBI/jrB88yYcdGADw2wLL0PpRmp3DwujX4QjHEumJbNV9CiO5tH0rbbwL/AL6Mcn9jnrHW3tDcG+8vKXl3AsmH5uCKDU+h6lKkHNUbW15DzYcrCa7Y2eb5mdK77m1zQF8XwaoAn2cP4aveo2r3l3rjKPElU+X1URTnjO/290xu87wKIbqP5labW2tnW2s3Rbu/I5GSdyeQMDadsV+fRvEnW0ialk3SpAxKDnqI4Pxt4HGR+NqF+E4d1fSF9tcrc+BXTzIrIZZHr7uWrSMG8+uDPBzyoDNn+d+nnMiCzB4MKM7j+ZEHMWP+etKqqslLTWHuyOFM9KZyQOvnUgjRTTWsKldKXUn9WaAftdY+2sK3PU8pdSywHbjNWvt1C1+/URK8O4nECRkkTnCGivm/WEfxskLW9h1IakUZg5+a1/rBu9oPM/4B1X48wE8ffwx++AsAlQHnI1MQE8Nj4w+vPWVDWiHFMT6WxQ8F4Ogeex6fLoQQ+6thaTscqFs6WEd6GPijtdavlDoGeEspNdJam9/UiftLgncnVJ2VzKtTp1Me41RHH5NRQet0TYsQCkHkDGvVfvhoPpz3VxaUB/jp8T/llZGjUUGLVQpvIMjDB44hA6hyuYgLBTncE8vg1s6nEKLbause5tba7RHPP1ZKbQLGALNa+97S5t0J5fu9tYEbYGPPXq1/07gYeOAn4PVAaoLz/GePQWEZ3/Ydyqt6ItWpidjkOHAp/CEg1ku+10u5202ex8ui29+HL5a0fl6FEN1Sc3ub7y+lVO+I5xOAAcCKNri1BO/OKLNfHHHJdZUmfce1UUewn54AlS9CwTNw9HgnkAOXnnMNVcoDgZDzjvK5wa0gGKo7Vyn6Ll0NR9yG/XJZ2+RXCNGtNLfDmlLqAaXUZqAP8IlSasne9oePvaeU0uHNu5VSi5VSC4DHgBmRpfHWJNXmnVBCqpdL/zaaJTPzSe8Vy9ijMtvu5m533fPHfwoXP0CeLxH84Wr18ppwOhdHLlzPnBH9qPJ5yCyp4MA1GyEUonD6vylMHkKfBT8mZsAefnjc9Qrc9pLz/P/OgZvPhPvfgh1FcO0JMELGjAsh9o+19nrg+mj3h4+dGPH8ktbL3d5J8O6kMvvGcdiMdg5g04bDqgeJvbGQ6ng31AQgNRY8LnArvswawtHz1nD4/PWM2pJHekUNIRSbE7JwBUrZfsHb9J9zUePXvu0lCIUrvu54BbYVwqMfO9uvfg2r/w0JMm5cCFGnq8+qFqnJ4K219gA/AFOMMVXNvYHW+nfAE8aYNqlKEG3P+sMd2ZJiIL6uR7kfeP+AYZxkVhNLkB8GDScv9mC8BQpX0DJw0Q6ylhYSPyqtkYs22PhhXd3m9iLnMTin5V+MEKLT6k6rijXZ5m2MCQCp7Pvf5Thgg9b6La31SVrr7vPTqJsYUlIKFTVOO3cjvps0iG8PHM53g6ewtvdASpLj2ZyYwB8OO5JbLl9M/vuNzIVw8xlY5bzpQlceT+io8bWH8nv05unrlzH/hfWNZ2jpJvjLWzBrPzrH1fhh7XZYuRWCu69jLoToeLrT3ObRVpv/A/ij1vrmcDCPmjFmutZ6GPAT4HEgoLV+Eqc0vqF52RUd0dmJ1agd+awLJFPQKwWUAuv81vNVB/liUE98S6qYtH4rvaq2M6BgPQ8efDDvTHbGf8e9t4E/nRC+2JdL4eZn2RDK4quRM7DVQaY8u4S+FXm4J0xg6ZDhzFmTSHBHDV/+ZTn9xiaQPjarLjOrt8HU30BZlZOPt38LJ2uaZf46OPJWKCx3tg8fDR/eCj4Zpy5Ex9a1A3akaIP3VThd4K/RWm8DarsRG2OGNXWyMWYl8But9S3AycBtwC1a60+AvxtjPmhuxhsK/0B4GsgA8oGLjTGrGqRxAw8Ax+MU6u4xxjze1DGxd0XJSUzbXMghJWUUb8vjzUG9KPJ6wa2o8blZn57M4weP4w9FW7hqzoe4sDz67nLKfTG8MPZgViYmYkurUPFeOO0e5nv7syS2JwGXU+I1GcPoW5FHcP5Ocg86huC6EpKrizl95bukjHsUTj8AXr3R6Uz39Qooq8IC5Z54fO/9gK+5wfvu1+oCN8DMJU4p/pgJLfY3E0K0vK5e2o4UbfC+a39vpLX2AWcDlwPDgOeAdcDjWuu3jDHX7uctHgYeNMY8p7W+CHgEOLJBmguBIcBQnCD/g9b6E2PM+iaOib3IGBTH0yRT7XExraqc189wc/YnUBSI+JXnVazvHYcrovVlwvYNFMQm8ruPX+fZDwfz38nHk3LUzYzdkUePLXm4Q87ZkedMumYYm9csYtLcBaTUlDo73/wOPloAJ0yCqcMIJMTxTq+j2JzcG9c3QUbdYDji/roAXp1XxaonVuGOczP0J8Moz69m9h8WUFPmZ8ovRtEnNWH3F9kjtYX/akKIltad2ryjCt7GmKf39QZa6/E4AfsCYAvOWLgzjDHF4eMPA6uBfQ7eWutsYBJwTHjXi8C/tNZZxpjIlTvOBR4zxoSAnVrrN4FzgPuaOCb24vOEZHYk2vBzHy+M9ZA/RfHUE2u5LLcP1qVAKb7tPZwdiSn0KCum0uNlXWof3nnpL/jdLm48+UoKfHFszY6j1OvliKpqkgvLSEpUTNm8AuJ9eG4/gcwxGVz67nQCv1oHD9SNF9+8uIy0SZV4emTyzvDT2aacIWghl5sVH2zD6zIccq8TwL84byZFi4sAKPghnzy/YvtcZzbDj677jkvePg/3lnyYsxzSEuF3Z8O4AW33BxVC7BMpeTdCaz0FuAzoC2wC/mOM+T6KU78GXgZONcZ81fCgMWaH1np/557tC2wxxgTD1wxqrbeG90cG735AZDv7xnCapo6JvSiIGINQFYTyHaWk9k/m0qWzGPzaei780fVsyk4hqdQy4Zf3cvD6FSzM7ounHF4cM42j1i+jIL5uvLcNWkas2Mrvz5rO/IE9Oe+rAZz+3UoKXwqQ+fAL/Pi8k3B5TuS/Izczasdmvs0cTfEThfDfzxhxcm8Kyn2QWJcnFbJsn5MLwI6CQG3gDgGrvs0n6HNR7nIDltgyP4GkRNzv/r71/3BCiBbVnUreUc2wprU+HfgCSMEZNpYMzNJanxHF6X2MMZc2DNyRvc6NMb+OOscdgNb6Sq210VqbwsLC9s5Ou7v9EFftCLGfm4/pPeBS+PE/YeIgDt2wiAvNHHoXlBPwejhr1iqWJQ1iXWwmy7KzufiMa3hz2AT0lroZBQ9buo6cknL++uKnWBSvTR3GpkHZZKwp4sIfnUypx0dxYjK/m3wh72SdwvLs8Szpl0OhO5YPPyjgd6dP560xgyiIi8FVE8BXWcNH/fow6S8lTLirkPfHDiSmMkBJcgzVVuEqqSGjooqMimq8gRBPLbP87Ws/v/7Az/dbAizMld7mQnQGIVS9R1cWbcn7NuAsY8x7u3ZorU8A7gHeaOLc9TjBvqF8ID3K+zdlE9Bba+0Ol7rdQK/w/kgbgf7ArhqDyNL23o7VY4ypXalmxowZ3enHXqNOGOxi+88U5Rc8QM7r4fn4n/rcmQntP9cy5dVKdq53Sr7JPh+HLt7A0sMn1J7/1uBD+dH8JaxI6MHPP57LwJ2F7EyK55HDJ+DzB7j8kwUk55Vy5+kHUq1cYJ3KscHbiyh3e7lz6jhqvB5iq/3E+FwUpybwaWoin44YwIhNuRy2OZe+eRUM/++3JJZWEFSKDX1SKI2LoTQrHVVcwkPHTaHS5+X82YvY+tBmNiUn4Lch/jo/Hcr9EAhx83QPfzohvjbf1lqU2vMXxI4yS9Ba3llp8Yfgsgku4r1d+wtFiPYk1ea7GwA07BH+IU7bclN2+2u29FhvY0yu1no+cD5OR7jzgR8atHcDvAJcobV+HadT2unA9CiOiSYkxSiSGvbzmnITXHIEoWNOhe+caVNzs1Jw5xWSWVpBXlI83mCQKZsKqHEncOk3i4kJOOl+df7RLO3jDAH7cOIgjl2ygVte/4bzrz8ZV8gS6w/w8iEj+Ty/LzXhmdaqvG78DcZke0KW3pXVuIJBEksrAHBbi18ptsfEsjYjhbkTB1OU4Cz08vT0cWQWVFBuFRVxXijxA+ANhrjvkypeWO3i9NEe1m2s5n/LAmQlKuJTYhid7eLpUz3kVsD93wX5YkOI1Xnh33UKsPDGcsWnM3wAvLg4yPoiywVj3PRP7T5fOEK0pu5Ukoo2eG8AjgY+ith3FE5ptVER7di+Rtq0B9HyK69cDTyttb4VKAQuDufjPeBWY4wBngWmAruGkN1hjFkbfr63YyIa910C+aUwZwUUhYdaPf05x5x9GB/NiyMUgGoF6/pmcf9/P2VVjzR8qYlUp6ewOS0ZbzDA1kCApQWlrOxZVymzISuFhVMHkr2liGHbC7h29nySq2v4algfHjtwXN39lSLocjkLorhd9MsrZviWnfhdCl9IYRWo8Kc7u6SCQ5duomDhan78s9Ocnf4gtqiKnTbcmhSs+yrwezycs2QF73kG8sDOGKgOgIXcUguVNazP95C1POB8ecS4IHI2BAsHby1kQWUC7y6xLCp089vPnR8Z930d5GeTFReM9TAiS9YJEmJ/SMl7d3cCb2mtXwXWAgOBs4C9Tcq+a0YLFfEcnH5C3+JM2NJijDHLcYJvw/0nRjwPAtfs4fw9HhNR6pEK7/4ernsM/vV+7e6X1rl4q2c2PcqrqfG5iQvU8LdTDuGQVRtIiQvPTx4OvG6Xi7L0ZAI+T23wnLTD6Qme2zuVY1esJ97vpyzGy8ErN/Pu+CFsjY2vmxgm3gtK0TO3iCs/m8u8flm8M6IfE7YVsCQpgQHb8xm/eSf9txcBkFhVw4VfLeaxIydS4Ff1froP3FHIuqw0lLUML6+iMDuDam8MKBfEeMMB3NZOSGOVApeCgKVehZOCzXE+aqzl5GdryIkHlFMCL6yCO2cFeeCbIEt+Fkvv5O7z5SNES5Pg3YAx5rVw7+1LgSk4bclHG2O+3ss5PwbQWi81xshwq+7k1h/Bkk2wdDNcdiSPVw6gV5lTZR1XHSTFH2L8jp0Q68ETCBDwOG9DFQ6Cm9KTwOeUoE9YupFp2/IAKPV58FRU8ctLjqc0PoaDlm90gnyCB09pDYEEHwr40cLVjNlRwOZBPelXVsbpH3zFxwP78d8JI7EjB/PnN2YxLOD8IMhPjie72s8v5izluYF9WJmSVPsy3MEA+IP0qfHTv7KGDSmJBNzh0rFSJPlrKPU4PxYAJ3A7ByNit0UFLBtSw23lIYsqrYRkJ3jHBoLUhKC4Eg5+vJLPLo1hUHrEym1CiKhJtTmgtX7NGHNW+PmPjTFP4gz7ahYJ3N1QVgp8dkfd5l0FbIs4HFQuyn0+JmzPY8yqjazq15OQUpQkxrG8ZwZvjh3oJLQwZflKBpdVURYTw8yBfZlz5GSq4mMAmDOiH0O25pHr8hIIhCAYYlR+MeO3FwDQr6iMlZkprMfNtA3beH78CKxS/Pa0Q/l6YE9SSisYWFGBK9Fp7z5xyw6q3G42JcdjE3ys9mRChR9feOGVuEDQKWWHg/WMuYtYl5LG+xOG4XI5Jf9Q+Fh6ZQ2JgRriaypZnpYZEeBhWEkVg8prKPO66VtWxZyMJApQbNgOE/4WYPGvEumX5vxIOPO5St5fGSQrUTHnqjj6pEjVuhB7IiVvx1ERz/8BPBntRbXWPxhjJoafr2IPP4iimVpVdH4HDfbw6rYACnBZS2wwSFJ1DUWJ8ahgkIMWrCCk4OvxI0irDtK/sJyqkGJYbhknL1tFj9IyrjzpOD7r26feeuLKWu5541XmZ/Vnbu++bIqPRfli6t07rbIagGX9e3Pa0jV8OGwACTV+Qj43b4weTElsDOdu2sro0jLSa/ycu3EL9x823gm2SkGFny0eN70DAarc7rogDPhClvvemYnH6+KdCcPJqqjGFwoREwwxNr+UmJDl/QH111pPqK7BV1VND+UE4SDh1oHwZUurLZ+sDnDZFB/PzKvmjaXOD4dNRZbTn6vCXBuPEKJxErwdS7TWLwKLcDqd3dJYImPM3Y3sjixt7/fUqqJzO/+weN79tgp/dYh4F1w8qIgV20JUxsXx7iGTSa/Iwx2Moyg5kZhgiGNXb8P27YkLWJWdRY/SMnbGh4NWcTW4FGmhIAdv2EEZOWzPimHB4B5s9STiqqjm+4xUxhcUE3Qp0qpqQCnWZaazJjGW05etpdzn5cOJQzjzm4UcvHwzKFg3pC/JwPbEOJS1WKVwexT9K8pYG5/I7NgY3J761dnJFU7P+HGbd/DOhOGk1PiZvq2AMq+3Nvj3Lq1ieVICuGH85lwu/2oB3lCIZT2zWDqoH0UeN8n+AMXhRU/cLhjdw8WZz1XWBu5diiotG3YESE5wkZYoJXAhurO9Be+LgJuBIwA3dVOPRrLAbsHbGPNCxPN9nlpVdA2De3l45fcZLFrvZ+wAL30yc5h50ZusWO8i1VPFiY8czr2/2Rru6AVBlyI2GKTG7eYfRx7OhowMpuXlM79nD0IhmLh6O2ds24HCMu/gwTw+fBSeUIgz1m6jb1klW2J8fJaUyAMffM6Cgf149sBJ5MXHEQPsTEvht1+8wH8+XEVB5Qiqcca36e15fHjIRMZs3snUuBi+7pVDMBhibe8sem/OZ0tCPNn5JYQqqylPiuOkxas464cVBFyKz0cMgFCIQE0Qf4Nx37qsgsd+nkZBpeWbn6zBG56vfeS2nXw7sC+x1jKyrIpe7mryvF6mJgV4b3Ucb6y2Tht6qG64mRc49Y4C4rzwZO8VDP/zSxDnQz1/FWr6iDb63xSi45I2b8AYsw5nNTG01vONMUdEe1GtdVTjo40xX0R7TdG59cl00yezruR6+HOnc3j4eX5uDWVqB15XCKsg4HUztTSfRXFJVHpimDluDPE1Nfzzy09IrqqioFcffIMymdqnjFdCTgl0ZEEp/coqnXtV13DIxi0kVNdwwMo1vDV6OHnxcaiQZeKGLRyxaT4Aufhq8xNbXUO12w3xsWzzxUC5U6qmKoAn6PQq356aRHwgyIwVG5mfncnvzjqCtTkZLO2dDVV+LIpqjweXtbiCITKKShmaUMXm323Bnjmc8oglRavdLlJsCEIup4ReE6R/dYDiihB3zFWQ6HPa10tqwKMg3styFNlpIfrmlzHwlqch4IxBt1c9hVr8R/wPfEjJv7+iKjaBuD+dSfrJEtBF9yLV5g0YYyY087qfNth2UX+yFovT3OdDdFnWWmru/YzQtxvxnDkW70WNL80ZshByuahxOYE4PtnL3f8eyIr75vDP+YkUxiRwxzsv0KO0zDlhxUISTjoC16/+Q2pqFs9ccTshVb9Ke1Cx02nNE7Jc+53hq6ye+EJBUquqyYtJJ7O6gEw2soPBAPwwtD8VLkVMELKLSlgfVzfjTJXLVdvWXeFx83TfHKrcblRqMjYjAXcgiKvCT39vkJgaP0nlVRwzexH/PnES/x4xHFUZIDDfRfKUMVxklpJcVU32mYOwKzwowK8g3+MmvrqalT1T69rVlcLlcxNyKadh3A3VXud1uurWa8NfGWTZ6HsZt2IRaeFRmRVn/51A7t/xJMfu+3+gEJ2MlLz3kzGmtoihtb4YOA34Dc4SoINwqtrfbo17i47D/+jX1Nz8LgCBNxahBmbgOXjgbuli41xUxXjw+J2Sd6/+cagYLyN+fxgPPvYpXH0/paEe1E7FH7KEPlyGCxhQtBPz9z+xYcgwFif1ZU1Wbwbt3Mqkyq0EhqWTdPYw+t84hZ6PrmD2k+vxe11sdI/AxUYULuIp4dVDpvPi4P78kJrC8flFTNu8kXnZ2QTcbsbk5qLiYtkRkd+qcKc5a2HM+p0E42LYkRjLQk8CxWkQ0yOZL4Ydy+KcVBIqq6kIr6pWEhfDvw+dyAm5Bbz2s568fF8hq4tcFHo9BF2Kk3J3cmhvF2siFnoJKZyZEUIWLMRX+hk4OI7qBy/Dc8Oz2Hgfr48+grz8PHrHbSKj0pkcJ766kvJNpSSNluAtug8pebesPwDjjDHhxZdZpbX+CbAAZ1Yz0UWFVuXV27ar86CR4J2U7OHCy3N44+V8klPcXHhZdt3BK46C48fjufwVAh+FJ79LjsF1yTT46BsqbRr40xi4bDtjWYET6xRb6U3NtlISMxPYcub/CH2+mWkuxeIBvegdWEc5GbgI0esQF/87ayI/rHc6hy1PSyTOPZDfLFpCKBigJD2DH1KTOLywmG0+H0mBACZiLHim30/AA8vjkxlQWMaE4lI84Z//fUoqKVBBtsbEsTnNmd4/xoa46bJ0/C8t5e77vuLJKROYObwvUw9I4ZW7nb/NwDlBnlkQZPOOANUhyC6v5OBN23h35CC2JcRS2kuRdMEhPKan8dP3Axy6NpfCATEUxqVxy8xXcQHrR41i4Kj6Pd2F6OokeLesZCAWKI3YF4uzQpnowrwzJuN//BsorkINTMd94sg9pp1+ZArTj9zDW6JvJnEfXkPNo18TWpeP79qDcFVWw6w7Cd71JXy0lRBuykjBd3g/cmcW4Q+3yFSaHZR/vhlwlgadkBnC/cSN9H3zU4j1wc1n8sySQoofeJrYiioq/nAGXyUO5IuPnUBa4XGxPC2Bn6zbQWVCLEGXwgdsjPHRs8bPuLIKeoxL588/8rJuruLzl+uy3aekgkNy8yiM9fHF0SNIy/Rx11ExTOntYt4vVpAXn8IpS9ZxxsLVHHTMgVz07gC+2Gw5cZDi16MsP93uTPaSmxhPYUwMx61czzujBqN7urDWcsvbVYzPL6coxnmtb4yayryeAzmqXzkzfjdpr4umCNEVhZpO0mW0RfD+H/CG1vr3OHOkD8Apjb/TBvcW7cg9vjcJy28mtCIX94TeqJS43dLU+C0L1/vJTnHRL3vvb0ffldPg+VnQ7wqnznpQD+Le/QOVhz1FKLccNSybhMfPRp38DiwvxJ0WQ9rloyl9cw22wplsPHlyFpmHD4DDf1J73d43/pNe68ILyP3qP4zP/xvTJ8aycVuAKRPjePymJWSu2cL3k4ZjXYrR1dVcMlyxemEZfUbG85Mrs8i943v8f1uMOvtQbHimtbgaPyGPm5RAkHPe+YGLzGxi7ziSrxb6yd1SNwws4Hbz6Iogz4eL7I8ssNw00U3kV5Hf46ZfsIJ/HOfmWu1GKcWYHSXEBEKUuF1UhqvyF/bqxVvpSdz2H8i7LoTLJUPKRPdhXd3nB2tUwTu8xOZvceYyzzbGpGitjwMGGmMebuL0a3EmeXkfiAFqgBeAn+9zrkWn4cpJxpXT2Iqw4A9YrnqgiPlr/XhccO/lKRwxPqbRtLVufKZ2LnHW7sDz3RIyV1xHcE0hnpGZqHgfg80FVC3Owzc4FU9mHP3/dxr5/1qAt18SPe46aLdL2uJKIIibUlSFhZdmM/bSIxg7yjl+7qEJzPtfOQfMW0FBaiJH/HwwB1zYD4ACk8eisz6h4vOtWOXiqJkLmD99BMn5BaiQIuAN98m0FlVWTdWv3mdr1nASamoIxDrt0e5QkODH8+CEQbV5enh2Jf09li01bjIra+jptwTj41DPrua5d72cfl1f4m2IIJAUDOGysDQjgaKghfwKCuO9zM91Mykn6v8qITo9231id7MWJjkap9PZf8L7VuKs573X4G2MKQN+orW+HMgCdhpjulOnQLEHK7cEmL/WGe4UCMFrsyubDt4JDY73SMWVGodrcl2p3pXgJX5qz7pTjuhLwhF993hJ9z1nwul/whUKLwV21UNwxgGQ4vQ4TxyQCEBqSTlpFRUMnzQRgJJlRcw++kNnQZLEWFyBEEml1ZyyfDVj7AZW7VB8NspJO33pYqqUl6By4bEhepWWUFlVSY3bQ3J1FWO/3sSrEw5gSc9+JFT56bOzkkoFx1RUMzKvkNhgEAtsB7avq+TdR7dwwckZPPuW0xq1Kc5HoaWuu225Hzc+ajv5CdENdKeSd7Sf7AuA04wxr1NXl7cepwo8KsYYa4zJlcAtdslOdREbsd5cv+woFuR482bISgafB84/FI6b2Oz7Wn+QileXUfm/VVhrcZ0yHjUxIrjXBKDaX7uZOycXlw1yYNEcTtn6Bq4f/wP8ATb+a5kTuHddd9fz9FiSPryMkRcO5mdTyzn7y9n0zsslqGCTNwt30EWN201ydTWZFeX4ggF6Ve7gxs8/Yuz6AoZuK8W6XWzLSSYmECA2vEZ55NdSRWmAC09O5qk/9SBhagob42PqLWEKkBorgVt0L9ZV/9GVRVvyTgByG+zzAVWNpJW5zUVUslLcPPDTVF7+opLeGW6uPimh6ZNG94Pcp/brvnlnv0bl207P9cTrp5D+j2NRf54BZ94LJRXwf+dAdmpt+uyDsin+8xYKY5JJDhaR8u0C7JOfkXzAQNRza2t/7e9aFa3HyX1x9Uom4W8nA5D03CLcW0uJtzUkVm/AuIYz+JMzqbjoVcgrJ2ZkEgkDRzPoqKm4Fzv3rPS5qYrx8E2/TIYWFuMN1X2EYuJcHHm+Ux+ek+lhbUHQGVPmDq9lDlw6NYb+qV3820uIBqy745a8lVKNTjHekLW2sSnHdxNt8J4L/Jj6a3BfAHy3h/Qyt7mIypRhPqYMa7u5emxFdW3gBqh8ZRn841g4ahzkPeWUuBPrd6yrqgqyJm0goPghbRzHb/uUZY8XsXPjXHzpPuKq/MRnx9HrJ8OJH5BIzqn96p3v9dra6iovQWIyfHhe/wHvJmcoXWhBFYFXrkfn1/D3lev5Nj2L1INy+O0y2E4cz00YxA2V2xi1fBPD+7roeedBxGbUjd/eWR4CPM7kLh43SsG/Tmmi+UGILijUsavNG5tivKFGpxxvTLTB+wZgptb6PCBea/0OoHHmPd+NzG0uOqR730D97gW87pH4g05w8+lw2/jXK6C4HI4Zv9tpSx5bSW2ltXKxKHkiw39YTFHaMGoqof8VI5hw56Q93jb25sOp+OmbYKF4WH+mvHQ0oaP/hrNkABC0VPz9CzY+tJHMQIgTfG7m3Xsq/xiRys6kOCbGu+k77T1sVYAgUOoKEfuvo2uvf+cJ8VzxagUhrwelFH88xkeCr0N/iQnRKjpyVbm1NuopxqMR7fSoi7XWI4GLgeU4Q74uN8bs2PuZoLW+BvjeGGMi9mlAR9FTXYiWkVcCNz8H1pLNckp6jkBdcRTJNxwId78Kvwv/3jx1Crz123qnpg1PZufc/LrtmnKSAlX0rsxjfUIOvrS91xzEXj0V7wnDoNJP+ghnAppqVUg16YALDxXkfr0FFXDK566aIKGHfiA3K40gsMNdSZ+qQO31/GuK6l3/sgNjOHWMl5IqS2aii+RYCdyie+psHdaUUj2AvsAma22T8TRS1OO8jTE7gb80M2/grEzWsFfROuBVmuipLkSLcbucRyCImwBpQ0Lwh8OcY099Xpfu7e+hoBTS62ZR6332YOa+txNvtR9/jIf0Hc4UpN6eifQ/fgDDr2l6ARB3/7R62zG/PpLMW14mhBcvlcSaPNYzDoUiqBT+WKdmwA1srfIwZnAGMWvywecm5acTKN1SwfwnVuGJdTPpqmFkpvjITGz83jV+i8/bub7UhNgXnWWomFIqDWeG0RPDu6xS6j3gEmttQTTXiHac9x4b2vewnnekVGNMw8wUAOnR3FuIFpGWCI9dA7c8DxlJ8OAVdcfG9INV25znfTMhJb7eqRu+L6QyMY7KcFv4jqH96DElgfEPnYny1u8hX1VQjSfOjSeuiY/Wb8/Cc+hIp8T/xVISKWYAi3hn0OHMGjqKweXl9ZIXX38Qkw5Ixt0zAW//FF46/hOKNzhpCleXcuKj03a7xZYdAW75Wx7b84MExqfi6RHDj0a4+MnYDly3KMR+aG7JWyl1P3AWzsipsdbaxXvb38j5buAB4Hic9up7rLWPN5a2gb+F/x0BrAEGA/cDfwUujSbv0Za8Gza09wIGArNpunF9g9Z6mjHm64h9U4FNUd5biJZx6ZHOo6EnfwaDc6C4Am48Ddz1A3Kf8SnwHKhgiJhAiL7/OZX4ybv/9vzujvkse3I1ngQPRzw8jV6H9Nh7fg4ZBUeOhS+WApBIEQN+MYp+h49hyZtbqPhuB57iKvpNSmbyZYOJSXTG1QWqg7WBG2DLkmJCIYsr/MVVUxPi1TeL+fL7CvIKLBsyElhRFQMb4KM1AZ79AfolK66e7OagvhLIRbf2Js4kYl9Gub+hC4EhwFAgA/hBKfWJtXZ9E+cdC4y01haHt1cqpS4Blkab8WjbvHdraNda/wxn0pWm/At4RWt9F7AK50XeAvwp2kwK0apqAk7gLi6HyprdDg+cms5J1/Rn9TVzcPtDLDhqO8nfnEzSiLq52Mu2VLDsydUABMoDzP/bkt2Cd6AqwFc3Gip3VjH5t2PJGp8BN54Oa7bDvLVw3iFMu85ZNnVq/76Y/rMJFtXAV4qKM3oRc0wfAGbfsRBwfuYvzEpnY1ICX79Uzn8ucOrNn/tvER9+6kzekgBUecIBOmjBb5m1wTn7+cUhZl7s5dB+EsBF1xBqZrW5tXY2sNs6AHva34hzgcestSFgp1LqTeAc6o+42uPtG2w3a2r2/Znb/CFgK3Db3hIZYx4NT696HU4VxHrgHmPMQ/txbyFazqX/hPfmOc9nLYXNj4Gnfum77L9rcfudz5b1W1b9ejaTjgMmDoRDR+GJd+PyuQjVOGliUnfvxPbeWZ9TuNT5of3+WTM574dT8CXFwDO7zxS8+U/zncANELKs//U3pC08m6qiGla8vhFw+r/3qKjkoUmjSV3kr536cMu2uglmFDDaX0W+K54yf/3vipCFWRtCErxFl9EOHdb64XTg3mUjTge0pnwCPKuU+iV1E579Bfg42hvvT/AeD9GtvxYO1BKsRce0q70bYEcRlFY6beQRYvvUbwfPnvkZvLfOGVv91s3EnjKFQ/92AAsfWEZsZgxT/28cvPGNMxPciZOd9bzXldWeb4OWgqXF5ExtvPLK17v+/TxpTgc2b7yHmFQf1eHAnhfnjPee2r/uo3zk9ESWLKvCWhgxLIbf3ZDFXZ9W8+FKPz/ku/F7nbRuBYf1l8Atuo6GHdaUUlcCV0bsetRa+2hb5mkPfoGzxsdq6krgHwGXR3uBaDusfUz9In4CMIlm9D7XWscBmUQEfGPMxmjPF6LV/OxE+PkTzvMLDt0tcAOMeeAASpcVU7qokKxeAfosWOccsBY++AFOmcKAE/sw4ESnapuz74XXvnGeX3sC/OsKMselseNbZ2IWd4yLzLFpu91nl14/G0Phe5sp/nwrvl7xDH/N6Xbi9rk46bED+fdvlrK+0sXrwwcybYCbVy6ty/PBBybQv5+PwqIAI4bG8ti31dz5YSUAigAHDQgxqJePa6Z5pc1bdCl29+rvR4HWDNYbgf7A9+HthiXxRoV7lB+vlOoF9MEZKratidPqibbkPbvBdhlwizFmVlMnaq0HAc/hdFJrKIrJrIVoZdefBEeNhZJKOLDxGXtdLhcHf3qcs7FqK0x4Fyqqne3po+onDgTrAjfAy1/Bv67g+JcOZ+69i6jYWsnEG8fgid/7x2/0e8c3uj9rTBq3vH0Qby7yc7YXThq9exV9n15e+vRyOrityK1bftQCW1ZXUbW6kvjJqUDbzW4nRGtrbpt3C3gFuEIp9TpOh7XTgenRnmyt3YrT/Nxs0XZY+8O+XDzsXzg9y6/E+RFwMHAHsp636EhG92s6zS5De8HsPzpjwicNglOm1D/uccP4AbBgvbM9eXDtock3jd3vrAJ43YpzJtQPvEtXV1NRZZk4KgZ3RNvfxVNiePLbakqrwWctSdaZrnXR+gATBkvwFl3HPgwVewA4E8gBPlFK5VtrR+9pf/ic94BbrbUGZ6z2VJzO2AB3WGvXRnHfHjhxUANJkcestVGt+bHH4K217hXNBYwxTf1qmAoMMMaUaq0xxizRWl8FzAKeiuYee6O1jgeeBCYDAeAGY8z/Gkl3GnArzpriCviPMeYv4WOHA+/hLHMKUG2MaaymQAjHxEHOY08+vBX++rbT5n3Daa2enef/V1K7POhBE2K59dqM2mOT+3pY9ttUPlpczYOvlBIEYr1w4Ii6wP3VFstjC0MMSlHcPFXh68ALPAixJ82dpMVaez1wfbT7w8dOjHgeBK5p3l0BeBpIBJ4AyptI26i9lbw3s4fVwMJU+HhTVd8hoDL8vExrnYozSUszijp7dQNQaowZorUeCnyptR4SXkc80nbgFGPMVq11CjBXa/2dMWbXOL6lxhjdQnkS3YS1ltCWElwZ8ai4iPVNe6TCny9ukzzkry7lw1l1b/c586sorwiREF/Xnt071cWPD4njkIFeFq7zM3GIl0E5Hu77NsgTC0OsLlHhFUUtlQHFn6ZLi5bofBq2eXdg04De1tqGcSpqewveA/f1og0swakqnwV8izOzTDnOFKkt4VzgEgBjzCqttQFOwGmLqGWM+TbiebHWehlOR4OmBuEL0SgbDFF0xktUv7MClRlP+scX453Qs03z8M0jq/n+sTWogf0gNRmA7Aw3cXuY33xobw9Dezsf+zmbQ9z0eXhoacQ3wZL8Rk4UohNohzbvfbUZ8DaZai/2GLyNMU32mIvS9dSV4G/Emc88Gbiqha7f7HF2WusRwIEN8jBMaz0P8AP/ltXQRFP8szdS/c4KAGxeBeX3fUXq82e3aR7mv7AegPEbN7Mm2INhZ/TlnOOSamdb25uCqogNa0EpXP4gpdtruPkdN/93bBwJMc3/Npy/I8TbayynD1WMy5Le7KLtdOSSd7hn+S5/Ap5WSt2OUytcK9yJrUlRj/MOB7zDcWZVixzudcfezjPGLIx4vhZnWriohQPqnqrYm5h/stHr9QTeAq6NaK+fB/QNl8gHAp9orbcYYz7ZwzVqxw7m5OQ0Nwuii1Dpcc44b+v8NnVlxjdxRstL7hVH/qoyvMEQ09wlXDTDGX5Wur2Sj26aR8mmCsZdNJDJPxmy27nHDVQcM0Dx8XpLzzj47YGK/3utgpk7LDNX+FleCFXxMcS44a9HuBic2vgX46r8EKsLLQf3dfHtNstxr4awwO1zLB+fA0fJWHLRRjr4wiSRTdG7cnpyg33RNEUD0Y/zPh+nc9lCYFz43/HAF9Gcvz+MMXteKNnJ265xdjvDu/oBn+8hbTbOzDb3GWNejrhHScTzdVrrN3Gq+hsN3saY2rGDM2bM2Fu/ANGFecf2IPnfJ1HxiMEzPJPEOxqZN72VnXTfRL7+9yqshWnX1AXobx9YwY4FRbXPBx7Wg/QhdZ1ay8uCbNpQzcvHean0esiIgw0FIa6vrHs7v5frwR/+XtlWHuTrC9yErNPTfZeP1oQ45b9+aoIwIkPRJ8NV+01kgb/NtRzVv9VevhD1hDpwyZuWa4oGoi95/w6YYYx5WWtdaIyZorW+DGdFlPb2Ck71twl3WJsCnN8wkdY6A2fquX8ZYx5vcKwnsN0YY7XW6Ti1A79v9ZyLTi/+6inEXz2l6YStJKVPPMffPX63/UF/aI/bRYUB7r51EwX5AeLjXfzm9j74EmMYlOHiiKEePl8VAAWBiAkU1xRC6h3lVAXgn6fEcPVUp7nu2UVBasLDyJfnWyb2tkROvKibXTcmxL7ryCVva21LNUUDEG19Vj8adAADngFmtGRm9tF9QKrWejXwP+BKY0wpgNb6Dq311eF0NwPDgKu01vPDjx+Hj50FLNZaz8epTXjWGPNWm74KIVrQAT8dRnLvOJQLxl4wgKyRdYuoLJhXTkF+AICKihDffuUMMXO7FB9clcSHVycx/4ZkfnOA8/WgAFXtp6wGAiG47p1q/E7XdEZl1n1b+tzwh0PcXDpa0T8ZfjxGcfvB0mtdtB2rVL1HR6Ucv1ZKLVNKlYX//bVSKuo2pmhL3kVASvjfHVrrkUA+zjSp7coYU46ziktjx26NeH4jToe5xtL9C2cyGSG6hLSBiZz99EGULM4jJScGGwyh3M73Qo+c+p1ce+TUjff2eRTHjnCOj+8NPxlr8bnhxP/UsKsTeowHdvWHu+kgN0rB0p2Wi8a6GZrh4skTWv3lCdGojhywG7gFuAz4M3Xred8ExAF3RXOBaIP3J8AZOJOhvBze9gPvR3NyeFz1SUAfY8y9WuscwBXFBC9CiH2w9oW1LL/uC0YUbqPKhog5cgDZH5yH8roZMTqeH1/dg4Xzyhk0NJaDD0ve43WGpDlfhk+eHcOPX62mwm/5x8kxbCu1bCkNMbWPm5sP3p/1jYRoOR252ryBHwMnWWuXh7c/VUrNwompLRe8jTGXRWzeBizHGe7V5HAqrfUk4ENgG06D/b04nd6uwqmuFkK0gMKFBXx95RxqimqwQUv/imI81mnrrv5sPdVfbCT2KKfPzMHTkzl4+p6DdkNT+rhZ/AunN/29X/o59SVnXveh6YqVP49t4VciRJeXjlPijrQWSI32AlHVr2uta4dqGWOsMeYFY8zDxpjKvZ0X9g/gJmPMOJzpSwHm4IyzFkK0kB9umUv5+jL8RTUESv34XRHtzS6FK2f31dL2xd1fBmqfryqwfLgqsJfUQrQd61L1Hh3YD+zejHsDMD/aC0Rb37VWa/05zjysbxhjqqO9ATCaujnMLYAxpkxr3e7t5UJ0JTayg7mCvEG98Ky3pCQpcu4+FN/oxtcOb65EHxRHfAP0TpZx3KJj6ERt3r8EPlJKXQWsxxnuHEsz5kGJNngPBS7FmRXm31rrl3AW9jBRnLuTBrOgaa2HAFuizaQQomkT7prE15fPpqawhrG/G8/Qy6NanKjZ3rsohuOeraakGq49wMOYHhK8RcfQwUvbtay1C5VSw3D6gvXFWXnzXWttyd7PrBNtm/c6nLbu27TWR+HMJf651nqtMWb3Qab1PQ28pLW+EVBa68nAX4DHos2kEKJpGZMyOHnevq9gtnJ9Df+bWU5WuptzT0jC5238i3BcjottN8bt832EaDWdp+RNOFC/uK/n70s30Vk4ndX6Et2i43/GWfrsvfC/n+O0gz+wD/cWQuyDF+dWYzYFOX2sl0MH774eQklZkN/+NY/y8AxrZRUhrjkvtY1zKcT+6Swlb6XUh8CfrbWfRew7ErjJWnt8NNdoztzm43C6t18IVOFM0nJFU+cZY4I4Y9pu0VpnGmPyor2nEGL/PW+queg5Z8ngf31Zxbwbkhnds/5Hf2dBsDZwA2zYEl0nNGstVQGI20MpXYi21InavCez+/TiX+AMxY5KtHObz8OZCvVtnFnVPjLGNHtObwncQrS9bzfUBeKaIMzfEtwtePfr5WX4QC8r1vlRCo6e1vQiK8t2hjjuBT+bSuAnE1w8fsp+rXAoxH6z0U9Q1t5COEuCRv5K9hI5t3AToi15PwE8b4wpiiax1noVdSul7JExpnV61AghHP4Ap373BQ9ZTUC5yUhQTB9c97F/Y2ENz8+tZmxPD3/6VSaLVtaQmepicD/fXi7quPPLIJvC3WuemB/i8okhDuzTab48RRfUWarNgbnAdTjznuzyM5wVLqMSbYe1B5uXr+hmiBFCtLL73+Loe5/nu6wPWJDVjyMfPYu+ac6yoYu2BjjnqTKCIXhtgZ84L9x0VPQd0eK9e98Woq11omrz3wAzlVJnAStxRnQNx1l2OyqtMq+hMabJmdeEEG1g7Q4AJu7cxMSdmyDvUGAAAKs2VjNkZxE7EuIoio1h1c7Qnq/TiLuO8LBmRxXL1lRz6tcriNkahIcOauEXIEQzdJLYHR4qNgqnGXoA8BrwnLV2W7TXaJXgrbXOMcZsDz/vtad0Mre5EK3s8qPhpdlQVgXj+sORYwGoKqyh8v/m8MvNFVS63Tx00FguPSCpiYvVl5OoeOj7eWx9dCUAW2ZB9nmDSDssp8VfhhDR6EQlb6y123FWxdwnrbWiwEqc4WQAm9m9/VuF98l6gUK0pqnDYNWDsC4XJgyAuBgANs3eQdnmCgDigkEe6FnMwYP6N/vyu1Yqq9vuPF+eTbl3tp8PV4eY3t/FrYd7UJ0oMHRXHbnNWyl1QTTprLUvRJOuyeAdng1tLLDAGLM2moviTIm6y8AozxFCtIacNMhJo7oqRP7marJ6eEnpn1j3ExroM7x5pe5dBvzfeErn51OxtJiePxlK6iE9Wi7f7ejNZUF+87HTEfizdSEGpikuniCrp3V0Hbzk/cco0lhg/4O31vpM4L84JeQarfWZxpj3mrqoMWZTxGZ/Y0zD8WxorQ8lYspUIUTr2Znr5947NlNYEKBXHx8339aHo+7XrPtoK1mjUxl13oB9um5Mz3j0nJP3mubpFwqY+WUZfXr7+PV1WaSmdPwKt43F9SsLNxU3e2SsaAcdOXhba1u0INvUT8nf40yw8m+cbuy34MyU1hz/o64KPdJbOMuiCSFa2eyZxRQWOCXJrZtrMN+VMf3E3gw5sXer3O+VD0r5blEVPdNcfDu7DICVq6t5/e1iLpvR8T/2545x849vAqwttPROhhnjO/4PDtGxg3ck5bTBXA4cBWQR0dXOWntkNNdoalDmQOAvxphy4K/AkH3JZ8MdWusknEHqQog2kJpW/3d6amrrVQF/Pb+SJ14rYdHKGj79uqLesZDtHCXYHomKhT+N4YerY1j2s1j6pcr49c7AKlXv0YH9EbgTZ0GSA3HGfY+iBZcEdRtjQgDGGL/WuumZG8IiJmqJ01qvbHA4G/g42msJIfbPYUelkLczwNpVlYyblMC4ifu+Iu/WLTU8/PdtFBUGOPnMdI49Ma3e8bzCYO3zoFL0G+Bjy6Ya+vTycuYpKft837aW4FNM6NmhA4DovC4AjrPWLlBKXW6tvVEp9RpwU7QXaCp4+7TWt0RsxzbYxhhz9x7OvQun1P0Q9RvqQ8B24LPGThJCtDyXS3HOBZktcq2Xn9vJ1i01ALzyfB56aiLpGXUztByq43jzkzK25AbJTHNzw3VZZKe7pbe2aHUdvLQdKd1auyD8PKiUcltrv1FKHRHtBZoK3t8Ax0Rsf9tg2wKNBu9dE7VorZcbY76JNkNCiI7NRjR4WVt/GyA1yc2Dt2azdWeQnEw38bF1Vc7PfFLBEx+Wk53q4r7LUxjQQ3pwi5bTiYL3FqVUP2vtRmAtcIJSKg/wR3uBvX5yjDGH71/+wBjzjdbajTP9W72G+cZ6oQshOrazL8xkx1+2UlQU5JQz0snI2n1e1NgYF4MazHO+NT/I398sw1ooqQjy19fLeOCa1DbKtegOOvI47wYewllZbCPwN+BNnNh4W7QX2KefvVprBZwIXGWMObWJtJOA14F+OCX1XaNLg0DUbehCiI6hb78Y7vlH80a9BAKWdRtriOyvFpQuq6KFdZaSt7X2gYjnLyqlvgQSrbXLo71Gs4J3eKrTy4GfAD2Jbu3RvwNvALfi/Mroi7OSyuzm3FsIsX+qFuyk0uwg4fA++Aanttl9/X7LHX/ewcrV1WTHeijweumR5uIXpye2WR5E99BZgndD1trNzT0nmhnWFHACcCVOaXsnkAZMNsYsiuIeY4FjjDHVWmtljCnTWt+E0yU+qplkhBD7p3z2FjYc+RrWH8KV7GPQ3AuIGZJaezzoD5G7tJjEHrEk5US/slg0Vq6uZuXqagBSqwIcNcrLxEMSKamQordoWc0N3kqp+4GzcBYHGWutXRzePwx4GsgA8oGLrbWrGjn/duCnwK51Or6y1l67j9lvlr0OXtRa/x5Yh1MfD86L7A8UAzuivEdkA3yx1jo7vE9WLxCijZS9uw7rd4JlqKSGDf9cROlWZwx20B/ijau/59WffMezZ85m/Vc7W/TeGelu3OE5Tiwwa5vipidKuPzvRTzzScVezxWiOfZhnPebwHR2n+3zYeBBa+0w4EHgkb1c4xlr7YTwo00CNzQ9ScsdQAJwujHmdGPMO8aYQDPvMZe6HuozgWeBl4CFzbyOEGIfxR3Ys/Z5SMF3b2/jlVM/p2BlCbnLSti2oAiAYE2I7+5fRijQcqXinB5efvnTLCaOi+OQ6YlsLalr+P5gblWL3UeI5gZva+1sa23kdN4opbKBScCL4V0vApOUUlktnuH90FTwvhhYCryjtZ6vtb5Oa53O7quE7c3lwK7xbL/CafeuBn7c3MwKIfZN8mmD6fv6yQSn92dtWgbVLg/+8gDrP9tGYnYMbm/dV0HV/HxW3D6/Re8/ZXI8N/8qmysvSiczpe5eI/vKUDHRclpohrW+wBZrbRAg/O/W8P7GnKeUWqiU+kgpNW1fb9pcTQ0Vew54Tms9ErgKpxv7vTgLlWiimOfcGLMl4nk+cMX+ZLghrXU88CROt/sAcIMx5n+NpDscJ7+7ZnurNsZMjTh+BfAbnN7w7wPX75pdTojOomx9Kd/97BuqcqsY9avRDDhvUO0xNSid/O9KSaoKEl9UzKb+KaQPSyYpJ47Drx3C13cuwlsTJG1nOcXzClolf7E+xeM/T+WlWZWkJ7m4+Oj4VrmP6J5sg3itlLoSp7/WLo9aax9twVs+DPzRWutXSh0DvKWUGmmtzW/BezQqqp+9xphlwC+01r8BfoTzx/if1toYYw5omF5rfVCU153TnMzuwQ1AqTFmiNZ6KPCl1nqIMaaskbRLjTG64U6t9UCcHyYTcTonvA9cBDzTAvkTos38cMs88o3zvWF+/T05R/UiNisWgLx3NmKrnKlL3SEYf0Q2NblVfHDuTFKGJDMkSVG2rByAnmf02+M9vr9rARW5lUy+aSyJfZo/zWr/Hh5+86N9W4JUiL1pWNoOB+rmButNQO/wrGdBpZQb6BXe3/D62yOef6yU2gSMAWY1N+/N1aw6K2NMNU6b9bNa61HU/0UTKZphYBanBL+/zgUuCedvldba4PSOf6UZ1zgbeNMYsxNAa/0YTrW+BG/RqQQq6rqk2KAlWFU3z3jy5IjpURWkH5LNF7+dC8CO7/IYe81whvRLJLZPPBl7WJf7vbM+Z+c858fBpo+2ct78U/HEStW36BhaYqiYtTZXKTUfOB94LvzvD9ba3XpyKqV6W2u3hJ9PwOm1vmK/MxGFff7UGWOWAr/Yw7G2XIKnH/V7Cu4aS96YYVrreTi93f+9awrXZl5DiA5r7O/G89XFX1BTWMOI60eS0LeuZJxxQh/GvHIEhTO3kX5sbyrj6n/8qwpr6H3T3idfKVhaVPs8WB0if3ERPXTLzJkuxP4KNX+o2APAmTijnz5RSuVba0cDVwNPK6VuBQpx+n/tOuc94FZrrQHuVkpNxpl0rAaYEVkab017Dd4RK4PtkTFmWIvmaPc8zMMJro1pvHjQuHlAX2NMcbia/BOt9RZjzCf7kKfadpScHBnxJjqOzCmZnLr4dEI1Idxxu3+8s88eQPbZAwAIVAXJnJBO3vwCYlJ9jJgxuMnrJw9MpHBZMQDKo0gbkdqS2Rdiv9jdV6Dee3prrweub2T/cmDq7meAtfbEiOeXNDOLLaapkvddEc8Vzni3nzbnBlprF/BLnF7nfXHaDR4H/hZNhzBjzKQmrr8RZ+z5riqNfsDnjVynJOL5Oq31m8DBwCc4Je3+Ecn70Uj7RsT5te0oM2bM6BwLFItuQ7lduOOarvzyxLo54eXDKV5XSkJOHL7kpmcrPvHNo5hz4/dU5lWjfzeWGq+bK/9bwdLcED+Z4uWqA2Na4iUIsU866wxr+6Kp3uZPR25rrf/acF8UfgtcBvwZWAMMxlmzNI76Pw721Ss4PeFNuMPaFJw2inq01j2B7cYYGx7udizw+/Dh14AvtNZ/wOmwdgUy+5voBlxeF2nDol9j2+NzMf0fdQWSm96t5Om5zjxMZnOQqf08TOjVEl1ZhGg+Cd4t68fAScaYXROuf6q1noXTo7slgvd9wFNa69U47Q5XGmNKAbTWdwBbjTEP48wOd43W2o/zup8xxrwFYIxZq7W+E2cJVICPcDoqCCH2IresruLJWsgtC9Ey/VCFaD4J3i0rHafEHWktkNoSFzfGlAPn7OHYrRHP/wX8ay/XeYS9T4EnhGjgl4fG8O7yAHnllqOHejhisPQ8F6IttMUn7QfgRuDuiH034CxMIoToxMb3crP+t0nklln6pypcnWc9ZdEFNZykpStrbm/zZK31ysg0UfQ2/yXwkdb6KmA9TsewWJw2ZyFEJ5fgUwxMb5lvzUq/JWAhydeNvoVFi2nuULHOrDm9zfeJMWah1noYcDLQB6cX97uRvb+FEOKNVSEueDdEdQDume7ipgPacroI0RVIm3fYPvQs343Wup8xZiPSe1uIdlc6P5/iObmkTs8hcUxae2ennt98EaIqPEHczV+E+NlERby3+3wZi/0nwTtMa+0BlDHGH7HvUmAC8IUx5vUo7rFWa/058ATwRniKVSFEGyv5bidzD30PWxPCFetm8jcnkzQ+vb2zVStymHm8F7xS8BbN1J2qzZv6ePyXiKU7tda/x5mc5BDgea31T6K4x1BgDvAnYJvW+t9a690WBxFCtK78j7Zga5x5kUJVQQo/3drOOarvyePdHNgTRmfAq6e68Lqj+yKurJF5koTDqvqPrqyp4K2ByOU1rwMuD6/MdRFRzLZmjFlnjLnNGDMQZ0hXIvC51npBE6cKIVpQykHZ7Jo9UrkVKdOy2zdDDYzNUnx9oYfFP/Zw/MCmi93+oOXkR0uJv6mQMfcUs71EVvDt7iyq3qMra6rDWpoxZitAeE3vFODl8LE3af5Sa7OAZJxpUqc381whxH5IP7IXEz48lsJZ20k/uleHC97N9cbCGt5d6rToLdke5O+zqrjnlMbXB6+pDPLdm9uxFqac1oPYBBmP3hV1p2rzpt7B5VrrxPDa2BpYbIypCh9TUZwPgNZ6HE71+4VAFc5Sm1fsW5aFEPsq/ZjepB/Tu72z0SLiGnRm21vntlfvXMka4yyosnZuEZf8ZXSr5k20D+mwVudL4E6t9SM484d/EHFsOLCtqRuEVwUbAbwNzAA+MsZII5UQYr+cPNrLz6fH8OqCGnRfD786InaPaTctLat9vjniuehaJHjX+Q3wHvBzYDHw14hjFwKzo7jHE8DzxpiifcmgEEI0RinF389M4O9nJjSZdtiBaSz+LA+AoQemtnLORHsJdZ/Y3eQ473XASK11ujGmoMHhe3EWH98rY8yD+5E/IYTYb6fdOJghB6RiQ5bRh2e0d3ZEK5GSdwONBG6kJC2E6CxcbsXYIzPbOxuilYW6eA/zSNLlUgghRJcgJW8hhBCik5E2byGEEKKT6U7jvGX2YCGEEKKTkZK3EEKILkHavIUQQohORtq8hRBCiE6mqy9GEkmCtxBCiC6hO3VYk+AthBCiS5DgLYQQQnQy0uYthBBCdDIyPaoQQgjRychQMSGEEKKTkWpzIYQQopORDmudiNY6HngSmAwEgBuMMf9rJN31wGURuwYBjxtjfqW1Phx4D1gZPlZtjJnaqhkXQnQL/jI/3/5hPiXryhh+4SAGn9G/vbPUZUmbd+dyA1BqjBmitR4KfKm1HmKMKYtMZIx5AHgAQGvtBbYAL0QkWWqM0W2VaSFE9zDv/sWseXUDADt/yCdzXDopg5PaOVddU7CZsVspdT9wFjAAGGutXRzePwx4GsgA8oGLrbWrGjnfjRNXjgcscI+19vF9fwXR6woLk5wLPAxgjFkFGOCEJs45BdhujDGtnDchRDe3fc7Ouo0QFK4obr/MdHEhpeo9ovAmMB3Y0GD/w8CD1tphwIPAI3s4/0JgCDAUmAbcrpQasA9Zb7auELz7Uf8PvxHo28Q5lwH/abBvmNZ6ntb6W631JS2ZQSFE9xWbEVNv25fibaecdH0hVf/RFGvtbGvtpsh9SqlsYBLwYnjXi8AkpVRWI5c4F3jMWhuy1u7E+TFwzn68hKh1+GpzrfU8nADdmB77cL2ewJHApRG75wF9jTHFWuuBwCda6y3GmE/2cI0rgSsBcnJympsFIUQ3MuLiwWz/didYSB6USNaEjPbOUpfVQm3efYEt1toggLU2qJTaGt6/s0HafSk8togOH7yNMZP2dlxrvRHoT90ftR/w+V5OuQR4zxiTF3GPkojn67TWbwIHA40Gb2PMo8CjADNmzLBNvwohRHfV/4Q+nPK/oyndVE7Padl4Ezr8126nFWxQVa6Uqi1ohT1qrX20TTPVSrpCtfkrwFUA4Q5rU4AP9pL+UhpUmWute2qtVfh5OnAsML8V8iqE6IbSR6XS/7je+JKlyrwtWWsftdbqiEc0gXsT0DvcGW1Xp7Re4f0N7So87tJvD+laXFcI3vcBqVrr1cD/gCuNMaUAWus7tNZX70qotT4YSAI+bHCNs4DFWuv5wBfAs8aYt9oi80IIIVpGc9u8G2OtzcUpvJ0f3nU+8EO4TbuhV4ArlFKucJv46cBr+3bn5lHWSq3v/pgxY4Z99tln2zsbQrS4UE2Q/FfXoWLcZJwxAOXqPmNoRZto8TfU4VdtqxfQZj7Sc6/3UEo9AJwJ5AB5QL61drRSagTOULE0oBBnqNiK8DnvAbdaa024VP4vnNpagD+3VbW8NL4IIRq1/MyPKXzXqQHscdUIhjx8aDvnSIi9a+44b2vt9cD1jexfDjQ6UZe19sSI50HgmubdtWV0hWpzIUQLC/lDtYEboOCNhsNgheh49mGcd6clwVsIsRuX10XCpMza7aQDs/f5WvlbKpnz8lZWf1fYElkTYo+CStV7dGVSbS6EaNToD09g6wOLccW66fXzMft0jdL8Gv5z/WKqSoMAnHbTYMYd3dhcF0Lsv0B7Z6ANSfAWQjTKmxlL/zv2b7r/bSvLawM3wLp5xRK8Ravp6qXtSFJtLoTAWkvppnJqSv0tet2coQnEJrprtwdMTGnR6wsRKaDqP7oyKXkL0c3ZkOXzq79m08db8SZ5OfqpQ8ie1DJTeCZn+vjxP8awYk4B2QPiGTo1rUWuK0RjAt1oSVApeQvRzeUtKGDTx1sB8Jf6WfzIiha9fmbfOA4+t7cEbtHq/Kr+oyuTkrcQ3VxMWgzKBTbkbMdlxrZvhoTYR/5u1OYtwVuIbi55QCIH3z+F5U+vJql/IpNu2ree5UK0t5btsdGxSfAWQjD4jP4MPqN/0wmF6MAqpOQthBBCdC6V3Sd2S/AWQgjRNdRIb3MhhGg9ldsr8bfwmHIhUA0eXZiUvIUQbWreb+ey5slVuOPcTHv8YHoe1au9syREpyMlbyFEm6nYUs6aJ1cBEKwMsvQvS/aaPlQVwL+joi2yJroCpeo/ujAJ3kKINuNJ8OKKqfvaiUmP2WPa8u93sKj30yzKeYp1F36MtbYtsihEpyDBWwjRZnypPqY9ejBp49LIObInk/48eY9pt/9xHsGCagAKX1hFxdydbZVN0Vl1o5K3tHkLIVrVmt/PZduTq0kYncqYFw+j13G96XVc7ybP80SWyl0Kd+qeS+lCAF2+k1okCd5CiFZTNHsHG/64EICarRWsv2sBQ/82Napze/15GoH8KqrXlpD983HEDpEVyURTuk/0luAthGg1ocpAve1gRWAPKXfnzYpj8FsntnSWRFfWfWK3tHkLIVpP2lG96HH+IADihiTR/7fj2jlHokuTcd5CCLH/lEsx+oXDGPnkIbhi3O2dHdHldfGIHUGCtxCi1UngFm2i+8RuCd5CCCG6iu4TvSV4CyGE6Bq6T+yW4C2EEKKLkODdeWitLwJuAkYBvzDG/Gsvaa8AfoPzX/w+cL0xJtTUMSGEEJ1B94neXWGo2HzgPOCFvSXSWg8EbgOmAUPDj4uaOiaEEKKT6EZDxTp98DbGLDbGLAWaKiWfDbxpjNkZLlE/BpwbxTEhhBCdQTea27zTB+9m6AdsiNjeCPSN4pgQQgjRoXT4Nm+t9Tyc4NqYHsaYYFvmB0BrfSVwJUBOTk5b314IIUQ31+GDtzFmUgtdaiPQP2K7H7ApimON5elR4FGAGTNmyCLDQgjREXTtmvJ6ulO1+WvA6VrrLK21C7gCeDmKY0IIITqF5vdYU0qdpJSap5RapJSapZQa2Eia25VSuUqp+eHHgy2b7+br9MFba32+1nozcA5wp9Z6s9Z6VPjYHVrrqwGMMWuBO4FvgFXAWuC5po4JIYToJJoZu5VSacDTwHnW2rE4nZUf2kPyZ6y1E8KPa1smw/tOWSu1vvtjxowZ9tlnn23vbAghRGfT4pXc6taKegHN3hG/13sopaYAT1lrR4e304F8IMtamxeR7nYg0Vp7Q0vneV91+pK3EEII4Wh2tflKICccxAEuDP/bWCfp85RSC5VSHymlpu13VveTBG8hhBBdQ4PYrZS6UillIh5XRia31hbjzOnxN6WUAbKBIsDf4MoPAwOtteOA+4C3lFIZrfxq9qrD9zYXQggh9oW1tnZk0F7SfAJ8AqCU6gHciNPvKTLN9ojnHyulNgFjgFktnedoSclbCCFE17AP06MqpXLC/7qAu4GHrbXlDdL0jng+ARgArGiBHO8zCd5CCCGapabUT+GKYoLVbT5H1t7t2/SodymlluGMNKoBbnYupd5TSulwmruVUouVUgtweqTPiCyNtwepNhdCCBG14jWlfHDeTKryqkkbkcLxLx+OL8nb3tnaZ9bay/ew/8SI55e0XY6iIyVvIYQQUVv50lqq8qoBKFxezKZPtrZzjiJ0o1XFpOQthBAiavE5cXvdbl9dPGJHkOAthOhUdvx3LUWzdpB+XC+yTuvf9Alh2xcV8ckfFhOoDjL9hpEMOiy7FXPZdY28ZAgV2yvJX1hI/+N703NaB/o7dp/YLcFbCNF55L2zkSXnOaNztjy8nIkzTyBtenQr+31yx2IK1zudiD/6v4VcNfMolKsbfdu3EJfHxZTfjW/vbHR70uYthOg0Sufl121YKJtfEPW5wZpQvec2JFNDdzndqM1bgrcQolUVLS5k8T0L2fjmhv2+VuZp/XDFOxWGnhQfGSf0buKMOtNvGIE3wY3LqzjsNyNxeeTrT3ReUm0uhGg15ZvK+fy0TwmUBwAIlPoZNGPIPl8vaUIGByw4jdK5eSQfmE1c/8Sozx14aDZXfX4UNmQlcHdV0Y/t7vTkHSyEaDXFy4pqAzdA3vd5e0kdnfghyfQ4d1CzAvcuyqUkcIsuQd7FQohWkz4xg5jMGGdDQc+je7VvhkTX1o3avKXaXAjRamKzYjn6g2PZ9uk2kocnk3VgBxpWJEQnJsFbCNGq4vskMPiSfW/nFiJqXby0HUmCtxBCiC6i+0RvCd5CCCG6hu4Tu6XDmhBCCNHZSMlbCCFE1yAlbyGEEEJ0VFLyFkII0TVIyVsIIYQQHZWUvIUQQnQN3WhucwneQgghuobuE7tR1sqatvtDa70T2P+1DvddJrD/qz20rs6QR5B8tqTOkEeQfLa05uQzzxhzfGtmpkuz1sqjEz8mT55s2jsPXSGPks/ul0fJZ/fNZ1d4SIc1IYQQopOR4C2EEEJ0MhK8O79H2zsDUegMeQTJZ0vqDHkEyWdL6yz57PSkw5oQQgjRyUjJWwghhOhkZJx3J6C1HgY8DWQA+cDFxphVDdL8H3AeEAg/bjHGfNiR8hiRdjjwA/BvY8wNbZXH8L2jyqfW+kfA/+GMHLXA0caYHR0pn1rrbOBJoC/gAz4DrjfGBNooj/cDZwEDgLHGmMWNpHEDDwDH4/wd7zHGPN4W+WtmPtv789NkHiPStufnJ6p8tvfnpzuQknfn8DDwoDFmGPAg8Egjab4DphhjxgOXAf/VWsd1sDzu+jJ/BHiz7bJWT5P51Fpr4HbgGGPMGOAQoLgtM0l0f89bgGXGmHHAWGAycGbbZZE3gensfZ6DC4EhwFBgGnC71npAq+esvjdpOp/t/fl5k6bz2BE+P2/SRD47yOeny5Pg3cGFS1eTgBfDu14EJmmtsyLTGWM+NMZUhDcX4vzizehIeQy7GfgfsLIt8hapGfn8JXC/MWY7gDGm2BhT1QHzaYEkrbULiMEpfW9pq3waY2YbYzY1kexc4DFjTMgYsxPny/+cVs9chGjy2Z6fn/D9o/lbQjt+fiDqfLbr56e7kODd8fUFthhjggDhf7eG9+/JxcAaY8zmNsgfRJlHrfU44Djgb22Ur4ai/VuOAgZprb/QWs/TWv9ea92WEy9Gm887gWHANmA78KEx5qs2zGc0+lG/lLaRvb93O4K2/vxEpQN8fqLV3p+fbkGCdxejtT4M50v9/PbOSySttRd4DLh6V1DqwDzAOOAY4DDgBGBGu+aocefglBJ7Ar2B6Vrrs9s3S52bfH5aRGf5/HRqErw7vk1A73Bb1642r17h/fVoracBzwGnG2NWdLA89gQGA+9prdcDvwCu0Fq35bjQaP+WG4BXjTHVxphS4C3ggA6Yz+uA58NV0sXhfB7RhvmMxkagf8R2Pxp573YE7fj5iUZH+PxEq70/P92CBO8OzhiTC8ynriRwPvBDuP2wltZ6CvBf4GxjzLyOlkdjzEZjTKYxZoAxZgDwd5y20Cs7Uj7DXgCO1VqrcInnKGBBB8znOpxe3GitfcDRwB57KbeTV3CCjCvcZn868Fr7Zml37fn5iUZH+Pw0Q7t+froLCd6dw9XAdVrrlTilrasBtNbvhXt2AvwbiAMe0VrPDz/GdrA8dgTR5PMlIBdYihNElwBPdMB8/gI4VGu9KJzPlThVq21Ca/2A1noz0Af4RGu9pJE8PgusBVYB3wB3GGPWtlUem5HPdv38RJnHdhdlPjvC56fLkxnWhBBCiE5GSt5CCCFEJyPBWwghhOhkJHgLIYQQnYwEbyGEEKKTkeAthBBCdDISvIVoRVprq7U+ZD/O76e1LtNa9wpvX6q1Xt1yOWxWXi7UWu91vK7WOqC1Pjza9EKIfSNLggrRQWitLwV+b4wZsmufMWYjkNhumYpgjHkeeH5f02utnwICxpjLWz53QnQvUvIWQgghOhkpeQuxB1rrnwE/McZMjNg3EFgNDDbGrA+v9PR3YCJQCPwH+FNji0dorfsAj+Osu+3DWVTkF8aYueF5tR8GfFrrsvApJwPrcaZB7dvYKldaaw9wE3ApkI0zm9X1xpi5e3hN44EHgNGAG2fWs58ZY9aEjyvgCpxZ3frjrMN8jzHmwYY1A1rrJOBfwClAKXBrg3vVptda34Sztjda6/PCSfoDm4GDjDE/RJz3BfCxMebOxl6DEEJK3kLszfPASK31hIh9lwIzw4E7BfgY+BzIAU4CLgN+tYfruXCm4ewfTj8PeF1r7TXGfI0zBepaY0xi+DEzijzeAZyGM8d5Bs6Phw+11ml7SG+B23FWIRsAlOEsxrHL1eHj1wCpOD9Kvt/Dtf4ODMVZAnJcOB/uxhIaY+7F+Xs+HfH68nHmPq+tRtdaDwOmhV+HEGIPpOQtxB4YYwq11m8BPwZ+Hi6VXgL8LpzkJKAGuMsYY4FlWus/4wTv+xq53kacVbYA0Fr/HrgeJwAubW7+wvm5DjgpYr7wJ7TWvwjn7bmG5xhjFkZsVmut/wAs0lonGGPKw9f7ozFmdjhNXvjR8N4unJL0ScaY7eF9vwHOaObLeBR4R2v9a2NMFfAT4ANjzJZmXkeIbkWCtxB79yTwnNb6RuBQnNLo6+FjfYH14cC9y5rw/t1orTOBvwKHh68TCh/K2se8ZeJ0ZntHax2ZBy/OwhGN5WEwzg+LqUASTkl817XKcUrjK6O4dxYQg1Otv8u66LPuMMbM1lpvAc7WWr+E8+OoI66UJUSHIsFbiL37CKjCaX8+A3jJGFMZPrYJ6K+1VhEBfBB7Xq/6TzjrMk81xmwLtxmXACp8PLSH8/YkDyfgHm2M2VPVdkMPA1uBccaYfK31GGBRRB7W49QEfNzEdXbi1DoMwPnBAjCwiXP29PoexSlxlwFB4N0mriNEtydt3kLshTEmBDyDU719JvXbYt8FYoFbtNY+rfVw4DfsefnDZKACKNRaJwJ/bnB8O5CttU6OMm8W+Adwv9Z6KIDWOlFrfdyuceF7yEM5UBSuCbijwfEHw69nWngN7szwWtcN7x3CWbf5D1rrHuE8/6mJLG8HBoWr3CM9AxwA3AY82VhnPyFEfRK8hWjak8BhwDpjzHe7dhpjioFjgaOBHcCHOIHor3u4zm04PcLzcXqaz8Epae7yGU6Jd53WukhrfVgUebsNeAt4S2tdgrNu9tXs+bP9S5zq/xLgS+B/DY7/GycIP4HT03wesFvwDvs5TlX5cpzS+zsNXk9DjwMJQH749bkBjDFFwKvAeGTdZyGiIut5CyHandb6dpwhY8e2d16E6AykzVsI0a601j1wxpZLRzUhoiTV5kKIdqO1/iuwFnjHGCMd1YSIklSbCyGEEJ2MlLyFEEKITkaCtxBCCNHJSPAWQgghOhkJ3kIIIUQnI8FbCCGE6GQkeAshhBCdzP8DSO3QWWb/J1IAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "shap.dependence_plot(\"volatile acidity\", shap_values, X_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "dutch-friend",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "shap.dependence_plot(\"total sulfur dioxide\", shap_values, X_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "affected-format",
   "metadata": {},
   "source": [
    "### Effects of Single Feature on the output - Each Input Data (Local Interpretability)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "informed-coordinate",
   "metadata": {},
   "source": [
    "Remember the SHAP model is built on the training data set. The means of the variables are:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "decimal-carol",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "fixed acidity            8.338032\n",
       "volatile acidity         0.530388\n",
       "citric acid              0.271034\n",
       "residual sugar           2.557882\n",
       "chlorides                0.087227\n",
       "free sulfur dioxide     16.132611\n",
       "total sulfur dioxide    47.371977\n",
       "density                  0.996757\n",
       "pH                       3.308874\n",
       "sulphates                0.658757\n",
       "alcohol                 10.405922\n",
       "dtype: float64"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_train.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "antique-heater",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>fixed acidity</th>\n",
       "      <th>volatile acidity</th>\n",
       "      <th>citric acid</th>\n",
       "      <th>residual sugar</th>\n",
       "      <th>chlorides</th>\n",
       "      <th>free sulfur dioxide</th>\n",
       "      <th>total sulfur dioxide</th>\n",
       "      <th>density</th>\n",
       "      <th>pH</th>\n",
       "      <th>sulphates</th>\n",
       "      <th>alcohol</th>\n",
       "      <th>predict</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1032</th>\n",
       "      <td>8.1</td>\n",
       "      <td>0.820</td>\n",
       "      <td>0.00</td>\n",
       "      <td>4.1</td>\n",
       "      <td>0.095</td>\n",
       "      <td>5.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>0.99854</td>\n",
       "      <td>3.36</td>\n",
       "      <td>0.53</td>\n",
       "      <td>9.6</td>\n",
       "      <td>4.77</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>5.2</td>\n",
       "      <td>0.320</td>\n",
       "      <td>0.25</td>\n",
       "      <td>1.8</td>\n",
       "      <td>0.103</td>\n",
       "      <td>13.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>0.99570</td>\n",
       "      <td>3.38</td>\n",
       "      <td>0.55</td>\n",
       "      <td>9.2</td>\n",
       "      <td>5.15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1508</th>\n",
       "      <td>7.1</td>\n",
       "      <td>0.270</td>\n",
       "      <td>0.60</td>\n",
       "      <td>2.1</td>\n",
       "      <td>0.074</td>\n",
       "      <td>17.0</td>\n",
       "      <td>25.0</td>\n",
       "      <td>0.99814</td>\n",
       "      <td>3.38</td>\n",
       "      <td>0.72</td>\n",
       "      <td>10.6</td>\n",
       "      <td>6.60</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1479</th>\n",
       "      <td>8.2</td>\n",
       "      <td>0.280</td>\n",
       "      <td>0.60</td>\n",
       "      <td>3.0</td>\n",
       "      <td>0.104</td>\n",
       "      <td>10.0</td>\n",
       "      <td>22.0</td>\n",
       "      <td>0.99828</td>\n",
       "      <td>3.39</td>\n",
       "      <td>0.68</td>\n",
       "      <td>10.6</td>\n",
       "      <td>6.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>866</th>\n",
       "      <td>6.8</td>\n",
       "      <td>0.490</td>\n",
       "      <td>0.22</td>\n",
       "      <td>2.3</td>\n",
       "      <td>0.071</td>\n",
       "      <td>13.0</td>\n",
       "      <td>24.0</td>\n",
       "      <td>0.99438</td>\n",
       "      <td>3.41</td>\n",
       "      <td>0.83</td>\n",
       "      <td>11.3</td>\n",
       "      <td>6.24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1519</th>\n",
       "      <td>6.6</td>\n",
       "      <td>0.700</td>\n",
       "      <td>0.08</td>\n",
       "      <td>2.6</td>\n",
       "      <td>0.106</td>\n",
       "      <td>14.0</td>\n",
       "      <td>27.0</td>\n",
       "      <td>0.99665</td>\n",
       "      <td>3.44</td>\n",
       "      <td>0.58</td>\n",
       "      <td>10.2</td>\n",
       "      <td>5.47</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1193</th>\n",
       "      <td>6.4</td>\n",
       "      <td>0.885</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.3</td>\n",
       "      <td>0.166</td>\n",
       "      <td>6.0</td>\n",
       "      <td>12.0</td>\n",
       "      <td>0.99551</td>\n",
       "      <td>3.56</td>\n",
       "      <td>0.51</td>\n",
       "      <td>10.8</td>\n",
       "      <td>4.82</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      fixed acidity  volatile acidity  citric acid  residual sugar  chlorides  \\\n",
       "1032            8.1             0.820         0.00             4.1      0.095   \n",
       "34              5.2             0.320         0.25             1.8      0.103   \n",
       "1508            7.1             0.270         0.60             2.1      0.074   \n",
       "1479            8.2             0.280         0.60             3.0      0.104   \n",
       "866             6.8             0.490         0.22             2.3      0.071   \n",
       "1519            6.6             0.700         0.08             2.6      0.106   \n",
       "1193            6.4             0.885         0.00             2.3      0.166   \n",
       "\n",
       "      free sulfur dioxide  total sulfur dioxide  density    pH  sulphates  \\\n",
       "1032                  5.0                  14.0  0.99854  3.36       0.53   \n",
       "34                   13.0                  50.0  0.99570  3.38       0.55   \n",
       "1508                 17.0                  25.0  0.99814  3.38       0.72   \n",
       "1479                 10.0                  22.0  0.99828  3.39       0.68   \n",
       "866                  13.0                  24.0  0.99438  3.41       0.83   \n",
       "1519                 14.0                  27.0  0.99665  3.44       0.58   \n",
       "1193                  6.0                  12.0  0.99551  3.56       0.51   \n",
       "\n",
       "      alcohol  predict  \n",
       "1032      9.6     4.77  \n",
       "34        9.2     5.15  \n",
       "1508     10.6     6.60  \n",
       "1479     10.6     6.00  \n",
       "866      11.3     6.24  \n",
       "1519     10.2     5.47  \n",
       "1193     10.8     4.82  "
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get the predictions and put them with the test data.\n",
    "X_output = X_test.copy()\n",
    "X_output.loc[:,'predict'] = np.round(model.predict(X_output),2)\n",
    "\n",
    "# Randomly pick some observations\n",
    "random_picks = np.arange(1,330,50)\n",
    "S = X_output.iloc[random_picks]\n",
    "S"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "short-surfing",
   "metadata": {},
   "outputs": [
    {
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p=this.xlabel.selectAll(\"option\").data(f);p.enter().append(\"option\").merge(p).attr(\"value\",function(t){return t}).text(function(t){return t}),p.exit().remove();var h=this.props.outNames[0]?this.props.outNames[0]:\"model output value\";f=(0,y.map)(this.usedFeatures,function(e){return[t.props.featureNames[e],t.props.featureNames[e]+\" effects\"]}),f.unshift([\"model output value\",h]);var d=this.ylabel.selectAll(\"option\").data(f);d.enter().append(\"option\").merge(d).attr(\"value\",function(t){return t[0]}).text(function(t){return t[1]}),d.exit().remove(),this.ylabel.style(\"top\",(this.height-10-this.topOffset)/2+this.topOffset+\"px\").style(\"left\",10-this.ylabel.node().offsetWidth/2+\"px\"),this.internalDraw()}}},{key:\"internalDraw\",value:function(){var t=this,e=!0,n=!1,r=void 0;try{for(var i,o=this.props.explanations[Symbol.iterator]();!(e=(i=o.next()).done);e=!0){var a=i.value,c=!0,s=!1,l=void 0;try{for(var 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f=this._processPendingState(l,a),p=!0;this._pendingForceUpdate||(o.shouldComponentUpdate?p=o.shouldComponentUpdate(l,f,a):this._compositeType===_.PureClass&&(p=!m(s,l)||!m(o.state,f))),this._updateBatchNumber=null,p?(this._pendingForceUpdate=!1,this._performComponentUpdate(n,l,f,a,t,i)):(this._currentElement=n,this._context=i,o.props=l,o.state=f,o.context=a)},_processPendingState:function(t,e){var n=this._instance,r=this._pendingStateQueue,i=this._pendingReplaceState;if(this._pendingReplaceState=!1,this._pendingStateQueue=null,!r)return n.state;if(i&&1===r.length)return r[0];for(var o=c({},i?r[0]:n.state),a=i?1:0;a<r.length;a++){var u=r[a];c(o,\"function\"==typeof u?u.call(n,o,t,e):u)}return o},_performComponentUpdate:function(t,e,n,r,i,o){var a,u,c,s=this._instance,l=Boolean(s.componentDidUpdate);l&&(a=s.props,u=s.state,c=s.context),s.componentWillUpdate&&s.componentWillUpdate(e,n,r),this._currentElement=t,this._context=o,s.props=e,s.state=n,s.context=r,this._updateRenderedComponent(i,o),l&&i.getReactMountReady().enqueue(s.componentDidUpdate.bind(s,a,u,c),s)},_updateRenderedComponent:function(t,e){var n=this._renderedComponent,r=n._currentElement,i=this._renderValidatedComponent(),o=0;if(y(r,i))v.receiveComponent(n,i,t,this._processChildContext(e));else{var a=v.getHostNode(n);v.unmountComponent(n,!1);var u=d.getType(i);this._renderedNodeType=u;var c=this._instantiateReactComponent(i,u!==d.EMPTY);this._renderedComponent=c;var s=v.mountComponent(c,t,this._hostParent,this._hostContainerInfo,this._processChildContext(e),o);this._replaceNodeWithMarkup(a,s,n)}},_replaceNodeWithMarkup:function(t,e,n){l.replaceNodeWithMarkup(t,e,n)},_renderValidatedComponentWithoutOwnerOrContext:function(){var t,e=this._instance;return t=e.render()},_renderValidatedComponent:function(){var t;if(this._compositeType!==_.StatelessFunctional){f.current=this;try{t=this._renderValidatedComponentWithoutOwnerOrContext()}finally{f.current=null}}else t=this._renderValidatedComponentWithoutOwnerOrContext();return null===t||t===!1||s.isValidElement(t)?void 0:u(\"109\",this.getName()||\"ReactCompositeComponent\"),t},attachRef:function(t,e){var n=this.getPublicInstance();null==n?u(\"110\"):void 0;var r=e.getPublicInstance(),i=n.refs===g?n.refs={}:n.refs;i[t]=r},detachRef:function(t){var e=this.getPublicInstance().refs;delete e[t]},getName:function(){var t=this._currentElement.type,e=this._instance&&this._instance.constructor;return t.displayName||e&&e.displayName||t.name||e&&e.name||null},getPublicInstance:function(){var t=this._instance;return this._compositeType===_.StatelessFunctional?null:t},_instantiateReactComponent:null};t.exports=x},function(t,e,n){\"use strict\";var r=n(4),i=n(358),o=n(163),a=n(24),u=n(11),c=n(371),s=n(387),l=n(167),f=n(395);n(1);i.inject();var p={findDOMNode:s,render:o.render,unmountComponentAtNode:o.unmountComponentAtNode,version:c,unstable_batchedUpdates:u.batchedUpdates,unstable_renderSubtreeIntoContainer:f};\"undefined\"!=typeof __REACT_DEVTOOLS_GLOBAL_HOOK__&&\"function\"==typeof __REACT_DEVTOOLS_GLOBAL_HOOK__.inject&&__REACT_DEVTOOLS_GLOBAL_HOOK__.inject({ComponentTree:{getClosestInstanceFromNode:r.getClosestInstanceFromNode,getNodeFromInstance:function(t){return t._renderedComponent&&(t=l(t)),t?r.getNodeFromInstance(t):null}},Mount:o,Reconciler:a});t.exports=p},function(t,e,n){\"use strict\";function r(t){if(t){var e=t._currentElement._owner||null;if(e){var n=e.getName();if(n)return\" This DOM node was rendered by `\"+n+\"`.\"}}return\"\"}function i(t,e){e&&(G[t._tag]&&(null!=e.children||null!=e.dangerouslySetInnerHTML?v(\"137\",t._tag,t._currentElement._owner?\" Check the render method of 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q)q.hasOwnProperty(n)&&t._wrapperState.listeners.push(k.trapBubbledEvent(n,q[n],e));break;case\"source\":t._wrapperState.listeners=[k.trapBubbledEvent(\"topError\",\"error\",e)];break;case\"img\":t._wrapperState.listeners=[k.trapBubbledEvent(\"topError\",\"error\",e),k.trapBubbledEvent(\"topLoad\",\"load\",e)];break;case\"form\":t._wrapperState.listeners=[k.trapBubbledEvent(\"topReset\",\"reset\",e),k.trapBubbledEvent(\"topSubmit\",\"submit\",e)];break;case\"input\":case\"select\":case\"textarea\":t._wrapperState.listeners=[k.trapBubbledEvent(\"topInvalid\",\"invalid\",e)]}}function f(){N.postUpdateWrapper(this)}function p(t){Z.call(X,t)||($.test(t)?void 0:v(\"65\",t),X[t]=!0)}function h(t,e){return t.indexOf(\"-\")>=0||null!=e.is}function d(t){var e=t.type;p(e),this._currentElement=t,this._tag=e.toLowerCase(),this._namespaceURI=null,this._renderedChildren=null,this._previousStyle=null,this._previousStyleCopy=null,this._hostNode=null,this._hostParent=null,this._rootNodeID=0,this._domID=0,this._hostContainerInfo=null,this._wrapperState=null,this._topLevelWrapper=null,this._flags=0}var v=n(2),g=n(3),m=n(332),y=n(334),_=n(20),b=n(82),x=n(21),w=n(156),C=n(22),M=n(83),k=n(51),E=n(157),T=n(4),S=n(351),P=n(352),N=n(158),A=n(355),O=(n(9),n(364)),I=n(369),D=(n(8),n(54)),R=(n(0),n(94),n(80),n(96),n(1),E),L=C.deleteListener,U=T.getNodeFromInstance,F=k.listenTo,j=M.registrationNameModules,B={string:!0,number:!0},W=\"style\",V=\"__html\",z={children:null,dangerouslySetInnerHTML:null,suppressContentEditableWarning:null},H=11,q={topAbort:\"abort\",topCanPlay:\"canplay\",topCanPlayThrough:\"canplaythrough\",topDurationChange:\"durationchange\",topEmptied:\"emptied\",topEncrypted:\"encrypted\",topEnded:\"ended\",topError:\"error\",topLoadedData:\"loadeddata\",topLoadedMetadata:\"loadedmetadata\",topLoadStart:\"loadstart\",topPause:\"pause\",topPlay:\"play\",topPlaying:\"playing\",topProgress:\"progress\",topRateChange:\"ratechange\",topSeeked:\"seeked\",topSeeking:\"seeking\",topStalled:\"stalled\",topSuspend:\"suspend\",topTimeUpdate:\"timeupdate\",topVolumeChange:\"volumechange\",topWaiting:\"waiting\"},Y={area:!0,base:!0,br:!0,col:!0,embed:!0,hr:!0,img:!0,input:!0,keygen:!0,link:!0,meta:!0,param:!0,source:!0,track:!0,wbr:!0},K={listing:!0,pre:!0,textarea:!0},G=g({menuitem:!0},Y),$=/^[a-zA-Z][a-zA-Z:_\\.\\-\\d]*$/,X={},Z={}.hasOwnProperty,Q=1;d.displayName=\"ReactDOMComponent\",d.Mixin={mountComponent:function(t,e,n,r){this._rootNodeID=Q++,this._domID=n._idCounter++,this._hostParent=e,this._hostContainerInfo=n;var o=this._currentElement.props;switch(this._tag){case\"audio\":case\"form\":case\"iframe\":case\"img\":case\"link\":case\"object\":case\"source\":case\"video\":this._wrapperState={listeners:null},t.getReactMountReady().enqueue(l,this);break;case\"input\":S.mountWrapper(this,o,e),o=S.getHostProps(this,o),t.getReactMountReady().enqueue(l,this);break;case\"option\":P.mountWrapper(this,o,e),o=P.getHostProps(this,o);break;case\"select\":N.mountWrapper(this,o,e),o=N.getHostProps(this,o),t.getReactMountReady().enqueue(l,this);break;case\"textarea\":A.mountWrapper(this,o,e),o=A.getHostProps(this,o),t.getReactMountReady().enqueue(l,this)}i(this,o);var a,f;null!=e?(a=e._namespaceURI,f=e._tag):n._tag&&(a=n._namespaceURI,f=n._tag),(null==a||a===b.svg&&\"foreignobject\"===f)&&(a=b.html),a===b.html&&(\"svg\"===this._tag?a=b.svg:\"math\"===this._tag&&(a=b.mathml)),this._namespaceURI=a;var p;if(t.useCreateElement){var h,d=n._ownerDocument;if(a===b.html)if(\"script\"===this._tag){var v=d.createElement(\"div\"),g=this._currentElement.type;v.innerHTML=\"<\"+g+\"></\"+g+\">\",h=v.removeChild(v.firstChild)}else h=o.is?d.createElement(this._currentElement.type,o.is):d.createElement(this._currentElement.type);else h=d.createElementNS(a,this._currentElement.type);T.precacheNode(this,h),this._flags|=R.hasCachedChildNodes,this._hostParent||w.setAttributeForRoot(h),this._updateDOMProperties(null,o,t);var y=_(h);this._createInitialChildren(t,o,r,y),p=y}else{var x=this._createOpenTagMarkupAndPutListeners(t,o),C=this._createContentMarkup(t,o,r);p=!C&&Y[this._tag]?x+\"/>\":x+\">\"+C+\"</\"+this._currentElement.type+\">\"}switch(this._tag){case\"input\":t.getReactMountReady().enqueue(u,this),o.autoFocus&&t.getReactMountReady().enqueue(m.focusDOMComponent,this);break;case\"textarea\":t.getReactMountReady().enqueue(c,this),o.autoFocus&&t.getReactMountReady().enqueue(m.focusDOMComponent,this);break;case\"select\":o.autoFocus&&t.getReactMountReady().enqueue(m.focusDOMComponent,this);break;case\"button\":o.autoFocus&&t.getReactMountReady().enqueue(m.focusDOMComponent,this);break;case\"option\":t.getReactMountReady().enqueue(s,this)}return p},_createOpenTagMarkupAndPutListeners:function(t,e){var n=\"<\"+this._currentElement.type;for(var r in e)if(e.hasOwnProperty(r)){var i=e[r];if(null!=i)if(j.hasOwnProperty(r))i&&o(this,r,i,t);else{r===W&&(i&&(i=this._previousStyleCopy=g({},e.style)),i=y.createMarkupForStyles(i,this));var a=null;null!=this._tag&&h(this._tag,e)?z.hasOwnProperty(r)||(a=w.createMarkupForCustomAttribute(r,i)):a=w.createMarkupForProperty(r,i),a&&(n+=\" \"+a)}}return t.renderToStaticMarkup?n:(this._hostParent||(n+=\" \"+w.createMarkupForRoot()),n+=\" \"+w.createMarkupForID(this._domID))},_createContentMarkup:function(t,e,n){var r=\"\",i=e.dangerouslySetInnerHTML;if(null!=i)null!=i.__html&&(r=i.__html);else{var o=B[typeof e.children]?e.children:null,a=null!=o?null:e.children;if(null!=o)r=D(o);else if(null!=a){var u=this.mountChildren(a,t,n);r=u.join(\"\")}}return K[this._tag]&&\"\\n\"===r.charAt(0)?\"\\n\"+r:r},_createInitialChildren:function(t,e,n,r){var i=e.dangerouslySetInnerHTML;if(null!=i)null!=i.__html&&_.queueHTML(r,i.__html);else{var o=B[typeof e.children]?e.children:null,a=null!=o?null:e.children;if(null!=o)\"\"!==o&&_.queueText(r,o);else if(null!=a)for(var u=this.mountChildren(a,t,n),c=0;c<u.length;c++)_.queueChild(r,u[c])}},receiveComponent:function(t,e,n){var r=this._currentElement;this._currentElement=t,this.updateComponent(e,r,t,n)},updateComponent:function(t,e,n,r){var o=e.props,a=this._currentElement.props;switch(this._tag){case\"input\":o=S.getHostProps(this,o),a=S.getHostProps(this,a);break;case\"option\":o=P.getHostProps(this,o),a=P.getHostProps(this,a);break;case\"select\":o=N.getHostProps(this,o),a=N.getHostProps(this,a);break;case\"textarea\":o=A.getHostProps(this,o),a=A.getHostProps(this,a)}switch(i(this,a),this._updateDOMProperties(o,a,t),this._updateDOMChildren(o,a,t,r),this._tag){case\"input\":S.updateWrapper(this);break;case\"textarea\":A.updateWrapper(this);break;case\"select\":t.getReactMountReady().enqueue(f,this)}},_updateDOMProperties:function(t,e,n){var r,i,a;for(r in t)if(!e.hasOwnProperty(r)&&t.hasOwnProperty(r)&&null!=t[r])if(r===W){var u=this._previousStyleCopy;for(i in u)u.hasOwnProperty(i)&&(a=a||{},a[i]=\"\");this._previousStyleCopy=null}else j.hasOwnProperty(r)?t[r]&&L(this,r):h(this._tag,t)?z.hasOwnProperty(r)||w.deleteValueForAttribute(U(this),r):(x.properties[r]||x.isCustomAttribute(r))&&w.deleteValueForProperty(U(this),r);for(r in e){var c=e[r],s=r===W?this._previousStyleCopy:null!=t?t[r]:void 0;if(e.hasOwnProperty(r)&&c!==s&&(null!=c||null!=s))if(r===W)if(c?c=this._previousStyleCopy=g({},c):this._previousStyleCopy=null,s){for(i in s)!s.hasOwnProperty(i)||c&&c.hasOwnProperty(i)||(a=a||{},a[i]=\"\");for(i in c)c.hasOwnProperty(i)&&s[i]!==c[i]&&(a=a||{},a[i]=c[i])}else a=c;else if(j.hasOwnProperty(r))c?o(this,r,c,n):s&&L(this,r);else if(h(this._tag,e))z.hasOwnProperty(r)||w.setValueForAttribute(U(this),r,c);else if(x.properties[r]||x.isCustomAttribute(r)){var l=U(this);null!=c?w.setValueForProperty(l,r,c):w.deleteValueForProperty(l,r)}}a&&y.setValueForStyles(U(this),a,this)},_updateDOMChildren:function(t,e,n,r){var i=B[typeof t.children]?t.children:null,o=B[typeof e.children]?e.children:null,a=t.dangerouslySetInnerHTML&&t.dangerouslySetInnerHTML.__html,u=e.dangerouslySetInnerHTML&&e.dangerouslySetInnerHTML.__html,c=null!=i?null:t.children,s=null!=o?null:e.children,l=null!=i||null!=a,f=null!=o||null!=u;null!=c&&null==s?this.updateChildren(null,n,r):l&&!f&&this.updateTextContent(\"\"),null!=o?i!==o&&this.updateTextContent(\"\"+o):null!=u?a!==u&&this.updateMarkup(\"\"+u):null!=s&&this.updateChildren(s,n,r)},getHostNode:function(){return U(this)},unmountComponent:function(t){switch(this._tag){case\"audio\":case\"form\":case\"iframe\":case\"img\":case\"link\":case\"object\":case\"source\":case\"video\":var e=this._wrapperState.listeners;if(e)for(var n=0;n<e.length;n++)e[n].remove();break;case\"html\":case\"head\":case\"body\":v(\"66\",this._tag)}this.unmountChildren(t),T.uncacheNode(this),C.deleteAllListeners(this),this._rootNodeID=0,this._domID=0,this._wrapperState=null},getPublicInstance:function(){return U(this)}},g(d.prototype,d.Mixin,O.Mixin),t.exports=d},function(t,e,n){\"use strict\";function r(t,e){var n={_topLevelWrapper:t,_idCounter:1,_ownerDocument:e?e.nodeType===i?e:e.ownerDocument:null,_node:e,_tag:e?e.nodeName.toLowerCase():null,_namespaceURI:e?e.namespaceURI:null};return n}var i=(n(96),9);t.exports=r},function(t,e,n){\"use strict\";var r=n(3),i=n(20),o=n(4),a=function(t){this._currentElement=null,this._hostNode=null,this._hostParent=null,this._hostContainerInfo=null,this._domID=0};r(a.prototype,{mountComponent:function(t,e,n,r){var a=n._idCounter++;this._domID=a,this._hostParent=e,this._hostContainerInfo=n;var u=\" react-empty: \"+this._domID+\" \";if(t.useCreateElement){var c=n._ownerDocument,s=c.createComment(u);return o.precacheNode(this,s),i(s)}return t.renderToStaticMarkup?\"\":\"<!--\"+u+\"-->\"},receiveComponent:function(){},getHostNode:function(){return o.getNodeFromInstance(this)},unmountComponent:function(){o.uncacheNode(this)}}),t.exports=a},function(t,e,n){\"use strict\";var r={useCreateElement:!0,useFiber:!1};t.exports=r},function(t,e,n){\"use strict\";var r=n(81),i=n(4),o={dangerouslyProcessChildrenUpdates:function(t,e){var n=i.getNodeFromInstance(t);r.processUpdates(n,e)}};t.exports=o},function(t,e,n){\"use strict\";function r(){this._rootNodeID&&f.updateWrapper(this)}function i(t){var e=this._currentElement.props,n=c.executeOnChange(e,t);l.asap(r,this);var i=e.name;if(\"radio\"===e.type&&null!=i){for(var a=s.getNodeFromInstance(this),u=a;u.parentNode;)u=u.parentNode;for(var f=u.querySelectorAll(\"input[name=\"+JSON.stringify(\"\"+i)+'][type=\"radio\"]'),p=0;p<f.length;p++){var h=f[p];if(h!==a&&h.form===a.form){var d=s.getInstanceFromNode(h);d?void 0:o(\"90\"),l.asap(r,d)}}}return n}var o=n(2),a=n(3),u=n(156),c=n(85),s=n(4),l=n(11),f=(n(0),n(1),{getHostProps:function(t,e){var n=c.getValue(e),r=c.getChecked(e),i=a({type:void 0,step:void 0,min:void 0,max:void 0},e,{defaultChecked:void 0,defaultValue:void 0,value:null!=n?n:t._wrapperState.initialValue,checked:null!=r?r:t._wrapperState.initialChecked,onChange:t._wrapperState.onChange});return i},mountWrapper:function(t,e){var n=e.defaultValue;t._wrapperState={initialChecked:null!=e.checked?e.checked:e.defaultChecked,initialValue:null!=e.value?e.value:n,listeners:null,onChange:i.bind(t)}},updateWrapper:function(t){var e=t._currentElement.props,n=e.checked;null!=n&&u.setValueForProperty(s.getNodeFromInstance(t),\"checked\",n||!1);var r=s.getNodeFromInstance(t),i=c.getValue(e);if(null!=i){var o=\"\"+i;o!==r.value&&(r.value=o)}else null==e.value&&null!=e.defaultValue&&r.defaultValue!==\"\"+e.defaultValue&&(r.defaultValue=\"\"+e.defaultValue),null==e.checked&&null!=e.defaultChecked&&(r.defaultChecked=!!e.defaultChecked)},postMountWrapper:function(t){var e=t._currentElement.props,n=s.getNodeFromInstance(t);switch(e.type){case\"submit\":case\"reset\":break;case\"color\":case\"date\":case\"datetime\":case\"datetime-local\":case\"month\":case\"time\":case\"week\":n.value=\"\",n.value=n.defaultValue;break;default:n.value=n.value}var r=n.name;\"\"!==r&&(n.name=\"\"),n.defaultChecked=!n.defaultChecked,n.defaultChecked=!n.defaultChecked,\"\"!==r&&(n.name=r)}});t.exports=f},function(t,e,n){\"use strict\";function r(t){var e=\"\";return o.Children.forEach(t,function(t){null!=t&&(\"string\"==typeof t||\"number\"==typeof t?e+=t:c||(c=!0))}),e}var i=n(3),o=n(26),a=n(4),u=n(158),c=(n(1),!1),s={mountWrapper:function(t,e,n){var i=null;if(null!=n){var o=n;\"optgroup\"===o._tag&&(o=o._hostParent),null!=o&&\"select\"===o._tag&&(i=u.getSelectValueContext(o))}var a=null;if(null!=i){var c;if(c=null!=e.value?e.value+\"\":r(e.children),a=!1,Array.isArray(i)){for(var s=0;s<i.length;s++)if(\"\"+i[s]===c){a=!0;break}}else a=\"\"+i===c}t._wrapperState={selected:a}},postMountWrapper:function(t){var e=t._currentElement.props;if(null!=e.value){var n=a.getNodeFromInstance(t);n.setAttribute(\"value\",e.value)}},getHostProps:function(t,e){var n=i({selected:void 0,children:void 0},e);null!=t._wrapperState.selected&&(n.selected=t._wrapperState.selected);var o=r(e.children);return o&&(n.children=o),n}};t.exports=s},function(t,e,n){\"use strict\";function r(t,e,n,r){return t===n&&e===r}function i(t){var e=document.selection,n=e.createRange(),r=n.text.length,i=n.duplicate();i.moveToElementText(t),i.setEndPoint(\"EndToStart\",n);var o=i.text.length,a=o+r;return{start:o,end:a}}function o(t){var e=window.getSelection&&window.getSelection();if(!e||0===e.rangeCount)return null;var n=e.anchorNode,i=e.anchorOffset,o=e.focusNode,a=e.focusOffset,u=e.getRangeAt(0);try{u.startContainer.nodeType,u.endContainer.nodeType}catch(t){return null}var c=r(e.anchorNode,e.anchorOffset,e.focusNode,e.focusOffset),s=c?0:u.toString().length,l=u.cloneRange();l.selectNodeContents(t),l.setEnd(u.startContainer,u.startOffset);var f=r(l.startContainer,l.startOffset,l.endContainer,l.endOffset),p=f?0:l.toString().length,h=p+s,d=document.createRange();d.setStart(n,i),d.setEnd(o,a);var v=d.collapsed;return{start:v?h:p,end:v?p:h}}function a(t,e){var n,r,i=document.selection.createRange().duplicate();void 0===e.end?(n=e.start,r=n):e.start>e.end?(n=e.end,r=e.start):(n=e.start,r=e.end),i.moveToElementText(t),i.moveStart(\"character\",n),i.setEndPoint(\"EndToStart\",i),i.moveEnd(\"character\",r-n),i.select()}function u(t,e){if(window.getSelection){var n=window.getSelection(),r=t[l()].length,i=Math.min(e.start,r),o=void 0===e.end?i:Math.min(e.end,r);if(!n.extend&&i>o){var a=o;o=i,i=a}var u=s(t,i),c=s(t,o);if(u&&c){var f=document.createRange();f.setStart(u.node,u.offset),n.removeAllRanges(),i>o?(n.addRange(f),n.extend(c.node,c.offset)):(f.setEnd(c.node,c.offset),n.addRange(f))}}}var c=n(6),s=n(392),l=n(168),f=c.canUseDOM&&\"selection\"in document&&!(\"getSelection\"in window),p={getOffsets:f?i:o,setOffsets:f?a:u};t.exports=p},function(t,e,n){\"use strict\";var r=n(2),i=n(3),o=n(81),a=n(20),u=n(4),c=n(54),s=(n(0),n(96),function(t){this._currentElement=t,this._stringText=\"\"+t,this._hostNode=null,this._hostParent=null,this._domID=0,this._mountIndex=0,this._closingComment=null,this._commentNodes=null});i(s.prototype,{mountComponent:function(t,e,n,r){var i=n._idCounter++,o=\" react-text: \"+i+\" \",s=\" /react-text \";if(this._domID=i,this._hostParent=e,t.useCreateElement){var l=n._ownerDocument,f=l.createComment(o),p=l.createComment(s),h=a(l.createDocumentFragment());return a.queueChild(h,a(f)),this._stringText&&a.queueChild(h,a(l.createTextNode(this._stringText))),a.queueChild(h,a(p)),u.precacheNode(this,f),this._closingComment=p,h}var d=c(this._stringText);return t.renderToStaticMarkup?d:\"<!--\"+o+\"-->\"+d+\"<!--\"+s+\"-->\"},receiveComponent:function(t,e){if(t!==this._currentElement){this._currentElement=t;var n=\"\"+t;if(n!==this._stringText){this._stringText=n;var r=this.getHostNode();o.replaceDelimitedText(r[0],r[1],n)}}},getHostNode:function(){var t=this._commentNodes;if(t)return t;if(!this._closingComment)for(var e=u.getNodeFromInstance(this),n=e.nextSibling;;){if(null==n?r(\"67\",this._domID):void 0,8===n.nodeType&&\" /react-text \"===n.nodeValue){this._closingComment=n;break}n=n.nextSibling}return t=[this._hostNode,this._closingComment],this._commentNodes=t,t},unmountComponent:function(){this._closingComment=null,this._commentNodes=null,u.uncacheNode(this)}}),t.exports=s},function(t,e,n){\"use strict\";function r(){this._rootNodeID&&l.updateWrapper(this)}function i(t){var e=this._currentElement.props,n=u.executeOnChange(e,t);return s.asap(r,this),n}var o=n(2),a=n(3),u=n(85),c=n(4),s=n(11),l=(n(0),n(1),{getHostProps:function(t,e){null!=e.dangerouslySetInnerHTML?o(\"91\"):void 0;var n=a({},e,{value:void 0,defaultValue:void 0,children:\"\"+t._wrapperState.initialValue,onChange:t._wrapperState.onChange});return n},mountWrapper:function(t,e){var n=u.getValue(e),r=n;if(null==n){var a=e.defaultValue,c=e.children;null!=c&&(null!=a?o(\"92\"):void 0,Array.isArray(c)&&(c.length<=1?void 0:o(\"93\"),c=c[0]),a=\"\"+c),null==a&&(a=\"\"),r=a}t._wrapperState={initialValue:\"\"+r,listeners:null,onChange:i.bind(t)}},updateWrapper:function(t){var e=t._currentElement.props,n=c.getNodeFromInstance(t),r=u.getValue(e);if(null!=r){var i=\"\"+r;i!==n.value&&(n.value=i),null==e.defaultValue&&(n.defaultValue=i)}null!=e.defaultValue&&(n.defaultValue=e.defaultValue)},postMountWrapper:function(t){var e=c.getNodeFromInstance(t),n=e.textContent;\n",
       "n===t._wrapperState.initialValue&&(e.value=n)}});t.exports=l},function(t,e,n){\"use strict\";function r(t,e){\"_hostNode\"in t?void 0:c(\"33\"),\"_hostNode\"in e?void 0:c(\"33\");for(var n=0,r=t;r;r=r._hostParent)n++;for(var i=0,o=e;o;o=o._hostParent)i++;for(;n-i>0;)t=t._hostParent,n--;for(;i-n>0;)e=e._hostParent,i--;for(var a=n;a--;){if(t===e)return t;t=t._hostParent,e=e._hostParent}return null}function i(t,e){\"_hostNode\"in t?void 0:c(\"35\"),\"_hostNode\"in e?void 0:c(\"35\");for(;e;){if(e===t)return!0;e=e._hostParent}return!1}function o(t){return\"_hostNode\"in t?void 0:c(\"36\"),t._hostParent}function a(t,e,n){for(var r=[];t;)r.push(t),t=t._hostParent;var i;for(i=r.length;i-- >0;)e(r[i],\"captured\",n);for(i=0;i<r.length;i++)e(r[i],\"bubbled\",n)}function u(t,e,n,i,o){for(var a=t&&e?r(t,e):null,u=[];t&&t!==a;)u.push(t),t=t._hostParent;for(var c=[];e&&e!==a;)c.push(e),e=e._hostParent;var s;for(s=0;s<u.length;s++)n(u[s],\"bubbled\",i);for(s=c.length;s-- 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r(){C||(C=!0,y.EventEmitter.injectReactEventListener(m),y.EventPluginHub.injectEventPluginOrder(u),y.EventPluginUtils.injectComponentTree(p),y.EventPluginUtils.injectTreeTraversal(d),y.EventPluginHub.injectEventPluginsByName({SimpleEventPlugin:w,EnterLeaveEventPlugin:c,ChangeEventPlugin:a,SelectEventPlugin:x,BeforeInputEventPlugin:o}),y.HostComponent.injectGenericComponentClass(f),y.HostComponent.injectTextComponentClass(v),y.DOMProperty.injectDOMPropertyConfig(i),y.DOMProperty.injectDOMPropertyConfig(s),y.DOMProperty.injectDOMPropertyConfig(b),y.EmptyComponent.injectEmptyComponentFactory(function(t){return new h(t)}),y.Updates.injectReconcileTransaction(_),y.Updates.injectBatchingStrategy(g),y.Component.injectEnvironment(l))}var i=n(331),o=n(333),a=n(335),u=n(337),c=n(338),s=n(341),l=n(343),f=n(346),p=n(4),h=n(348),d=n(356),v=n(354),g=n(357),m=n(361),y=n(362),_=n(367),b=n(372),x=n(373),w=n(374),C=!1;t.exports={inject:r}},function(t,e,n){\"use strict\";var r=\"function\"==typeof 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v={_enabled:!0,_handleTopLevel:null,WINDOW_HANDLE:s.canUseDOM?window:null,setHandleTopLevel:function(t){v._handleTopLevel=t},setEnabled:function(t){v._enabled=!!t},isEnabled:function(){return v._enabled},trapBubbledEvent:function(t,e,n){return n?c.listen(n,e,v.dispatchEvent.bind(null,t)):null},trapCapturedEvent:function(t,e,n){return n?c.capture(n,e,v.dispatchEvent.bind(null,t)):null},monitorScrollValue:function(t){var e=a.bind(null,t);c.listen(window,\"scroll\",e)},dispatchEvent:function(t,e){if(v._enabled){var n=i.getPooled(t,e);try{p.batchedUpdates(o,n)}finally{i.release(n)}}}};t.exports=v},function(t,e,n){\"use strict\";var r=n(21),i=n(22),o=n(50),a=n(86),u=n(159),c=n(51),s=n(161),l=n(11),f={Component:a.injection,DOMProperty:r.injection,EmptyComponent:u.injection,EventPluginHub:i.injection,EventPluginUtils:o.injection,EventEmitter:c.injection,HostComponent:s.injection,Updates:l.injection};t.exports=f},function(t,e,n){\"use strict\";var r=n(385),i=/\\/?>/,o=/^<\\!\\-\\-/,a={CHECKSUM_ATTR_NAME:\"data-react-checksum\",addChecksumToMarkup:function(t){var e=r(t);return o.test(t)?t:t.replace(i,\" \"+a.CHECKSUM_ATTR_NAME+'=\"'+e+'\"$&')},canReuseMarkup:function(t,e){var n=e.getAttribute(a.CHECKSUM_ATTR_NAME);n=n&&parseInt(n,10);var i=r(t);return i===n}};t.exports=a},function(t,e,n){\"use strict\";function r(t,e,n){return{type:\"INSERT_MARKUP\",content:t,fromIndex:null,fromNode:null,toIndex:n,afterNode:e}}function i(t,e,n){return{type:\"MOVE_EXISTING\",content:null,fromIndex:t._mountIndex,fromNode:p.getHostNode(t),toIndex:n,afterNode:e}}function o(t,e){return{type:\"REMOVE_NODE\",content:null,fromIndex:t._mountIndex,fromNode:e,toIndex:null,afterNode:null}}function a(t){return{type:\"SET_MARKUP\",content:t,fromIndex:null,fromNode:null,toIndex:null,afterNode:null}}function u(t){return{type:\"TEXT_CONTENT\",content:t,fromIndex:null,fromNode:null,toIndex:null,afterNode:null}}function c(t,e){return e&&(t=t||[],t.push(e)),t}function s(t,e){f.processChildrenUpdates(t,e)}var l=n(2),f=n(86),p=(n(40),n(9),n(15),n(24)),h=n(342),d=(n(8),n(388)),v=(n(0),{Mixin:{_reconcilerInstantiateChildren:function(t,e,n){return h.instantiateChildren(t,e,n)},_reconcilerUpdateChildren:function(t,e,n,r,i,o){var a,u=0;return a=d(e,u),h.updateChildren(t,a,n,r,i,this,this._hostContainerInfo,o,u),a},mountChildren:function(t,e,n){var r=this._reconcilerInstantiateChildren(t,e,n);this._renderedChildren=r;var i=[],o=0;for(var a in r)if(r.hasOwnProperty(a)){var u=r[a],c=0,s=p.mountComponent(u,e,this,this._hostContainerInfo,n,c);u._mountIndex=o++,i.push(s)}return i},updateTextContent:function(t){var e=this._renderedChildren;h.unmountChildren(e,!1);for(var n in e)e.hasOwnProperty(n)&&l(\"118\");var r=[u(t)];s(this,r)},updateMarkup:function(t){var e=this._renderedChildren;h.unmountChildren(e,!1);for(var n in e)e.hasOwnProperty(n)&&l(\"118\");var r=[a(t)];s(this,r)},updateChildren:function(t,e,n){this._updateChildren(t,e,n)},_updateChildren:function(t,e,n){var r=this._renderedChildren,i={},o=[],a=this._reconcilerUpdateChildren(r,t,o,i,e,n);if(a||r){var u,l=null,f=0,h=0,d=0,v=null;for(u in a)if(a.hasOwnProperty(u)){var g=r&&r[u],m=a[u];g===m?(l=c(l,this.moveChild(g,v,f,h)),h=Math.max(g._mountIndex,h),g._mountIndex=f):(g&&(h=Math.max(g._mountIndex,h)),l=c(l,this._mountChildAtIndex(m,o[d],v,f,e,n)),d++),f++,v=p.getHostNode(m)}for(u in i)i.hasOwnProperty(u)&&(l=c(l,this._unmountChild(r[u],i[u])));l&&s(this,l),this._renderedChildren=a}},unmountChildren:function(t){var e=this._renderedChildren;h.unmountChildren(e,t),this._renderedChildren=null},moveChild:function(t,e,n,r){if(t._mountIndex<r)return i(t,e,n)},createChild:function(t,e,n){return r(n,e,t._mountIndex)},removeChild:function(t,e){return o(t,e)},_mountChildAtIndex:function(t,e,n,r,i,o){return t._mountIndex=r,this.createChild(t,n,e)},_unmountChild:function(t,e){var n=this.removeChild(t,e);return t._mountIndex=null,n}}});t.exports=v},function(t,e,n){\"use strict\";function r(t){return!(!t||\"function\"!=typeof t.attachRef||\"function\"!=typeof t.detachRef)}var i=n(2),o=(n(0),{addComponentAsRefTo:function(t,e,n){r(n)?void 0:i(\"119\"),n.attachRef(e,t)},removeComponentAsRefFrom:function(t,e,n){r(n)?void 0:i(\"120\");var o=n.getPublicInstance();o&&o.refs[e]===t.getPublicInstance()&&n.detachRef(e)}});t.exports=o},function(t,e,n){\"use strict\";var r=\"SECRET_DO_NOT_PASS_THIS_OR_YOU_WILL_BE_FIRED\";t.exports=r},function(t,e,n){\"use strict\";function r(t){this.reinitializeTransaction(),this.renderToStaticMarkup=!1,this.reactMountReady=o.getPooled(null),this.useCreateElement=t}var i=n(3),o=n(155),a=n(17),u=n(51),c=n(162),s=(n(9),n(53)),l=n(88),f={initialize:c.getSelectionInformation,close:c.restoreSelection},p={initialize:function(){var t=u.isEnabled();return u.setEnabled(!1),t},close:function(t){u.setEnabled(t)}},h={initialize:function(){this.reactMountReady.reset()},close:function(){this.reactMountReady.notifyAll()}},d=[f,p,h],v={getTransactionWrappers:function(){return d},getReactMountReady:function(){return this.reactMountReady},getUpdateQueue:function(){return l},checkpoint:function(){return this.reactMountReady.checkpoint()},rollback:function(t){this.reactMountReady.rollback(t)},destructor:function(){o.release(this.reactMountReady),this.reactMountReady=null}};i(r.prototype,s,v),a.addPoolingTo(r),t.exports=r},function(t,e,n){\"use strict\";function r(t,e,n){\"function\"==typeof t?t(e.getPublicInstance()):o.addComponentAsRefTo(e,t,n)}function i(t,e,n){\"function\"==typeof t?t(null):o.removeComponentAsRefFrom(e,t,n)}var o=n(365),a={};a.attachRefs=function(t,e){if(null!==e&&\"object\"==typeof e){var n=e.ref;null!=n&&r(n,t,e._owner)}},a.shouldUpdateRefs=function(t,e){var n=null,r=null;null!==t&&\"object\"==typeof 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    "# Initialize your Jupyter notebook with initjs(), otherwise you will get an error message.\n",
    "shap.initjs()\n",
    "\n",
    "def shap_plot(j):\n",
    "    explainerModel = shap.TreeExplainer(model)\n",
    "    shap_values_Model = explainerModel.shap_values(S)\n",
    "    p = shap.force_plot(explainerModel.expected_value, shap_values_Model[j], S.iloc[[j]])\n",
    "    return(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "popular-producer",
   "metadata": {},
   "outputs": [
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       "  Have you run `initjs()` in this notebook? If this notebook was from another\n",
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       " <script>\n",
       "   if (window.SHAP) SHAP.ReactDom.render(\n",
       "    SHAP.React.createElement(SHAP.AdditiveForceVisualizer, {\"outNames\": [\"f(x)\"], \"baseValue\": 5.63094245204337, \"outValue\": 4.770003318374907, \"link\": \"identity\", \"featureNames\": [\"fixed acidity\", \"volatile acidity\", \"citric acid\", \"residual sugar\", \"chlorides\", \"free sulfur dioxide\", \"total sulfur dioxide\", \"density\", \"pH\", \"sulphates\", \"alcohol\", \"predict\"], \"features\": {\"0\": {\"effect\": 0.009741774371322098, \"value\": 8.1}, \"1\": {\"effect\": -0.16668683421985941, \"value\": 0.82}, \"2\": {\"effect\": -0.020288331000158057, \"value\": 0.0}, \"3\": {\"effect\": 0.008818035696607697, \"value\": 4.1}, \"4\": {\"effect\": 0.006977608040489897, \"value\": 0.095}, \"5\": {\"effect\": 0.0019452157010944994, \"value\": 5.0}, \"6\": {\"effect\": -0.14637099105624668, \"value\": 14.0}, \"7\": {\"effect\": -0.00783414754244288, \"value\": 0.99854}, \"8\": {\"effect\": 0.002722141911960166, \"value\": 3.36}, \"9\": {\"effect\": -0.310300084363651, \"value\": 0.53}, \"10\": {\"effect\": -0.23966352120757942, \"value\": 9.6}}, \"plot_cmap\": \"RdBu\", \"labelMargin\": 20}),\n",
       "    document.getElementById('i0TUSZR60NPUVQK4AFNUD')\n",
       "  );\n",
       "</script>"
      ],
      "text/plain": [
       "<shap.plots._force.AdditiveForceVisualizer at 0x7fc3ccf3ab50>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "shap_plot(0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "interpreted-penetration",
   "metadata": {},
   "source": [
    "#### Explaining the plot for First Row in the above table\n",
    "\n",
    "- The output value is the prediction for that particular observation i.e., the graph above corresponds to the first row in the table above where the predicted output is 4.77\n",
    "- Red/blue: Features that push the prediction higher (to the right) are shown in red, and those pushing the prediction lower are in blue.\n",
    "- Alcohol: has a positive impact on the quality rating. The alcohol content of this wine is 9.6 (as shown in the first row of Table) which is lower than the average value 10.406. So it pushes the prediction to the left.\n",
    "- pH: has a negative impact on the quality rating. A higher than the average pH (= 3.36 > 3.30) drives the prediction to the left.\n",
    "- Sulphates: is positively related to the quality rating. A lower than the average Sulphates (= 0.53 < 0.65) pushes the prediction to the left.\n",
    "\n",
    "Similarly, the following are individual graphs for data rows 2,3,4, and 5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "naked-plain",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div id='iP3ABZJYGEMB1WFH1TQAK'>\n",
       "<div style='color: #900; text-align: center;'>\n",
       "  <b>Visualization omitted, Javascript library not loaded!</b><br>\n",
       "  Have you run `initjs()` in this notebook? If this notebook was from another\n",
       "  user you must also trust this notebook (File -> Trust notebook). If you are viewing\n",
       "  this notebook on github the Javascript has been stripped for security. If you are using\n",
       "  JupyterLab this error is because a JupyterLab extension has not yet been written.\n",
       "</div></div>\n",
       " <script>\n",
       "   if (window.SHAP) SHAP.ReactDom.render(\n",
       "    SHAP.React.createElement(SHAP.AdditiveForceVisualizer, {\"outNames\": [\"f(x)\"], \"baseValue\": 5.63094245204337, \"outValue\": 5.150736569155625, \"link\": \"identity\", \"featureNames\": [\"fixed acidity\", \"volatile acidity\", \"citric acid\", \"residual sugar\", \"chlorides\", \"free sulfur dioxide\", \"total sulfur dioxide\", \"density\", \"pH\", \"sulphates\", \"alcohol\", \"predict\"], \"features\": {\"0\": {\"effect\": -0.10078526483134499, \"value\": 5.2}, \"1\": {\"effect\": 0.22939172402214625, \"value\": 0.32}, \"2\": {\"effect\": -0.020931169039050457, \"value\": 0.25}, \"3\": {\"effect\": -0.006300972577874514, \"value\": 1.8}, \"4\": {\"effect\": -0.04199819612561538, \"value\": 0.103}, \"5\": {\"effect\": 0.00817896432519872, \"value\": 13.0}, \"6\": {\"effect\": -0.007333584425078816, \"value\": 50.0}, \"7\": {\"effect\": 0.011477776348746001, \"value\": 0.9957}, \"8\": {\"effect\": -0.00852481249055866, \"value\": 3.38}, \"9\": {\"effect\": -0.22258372276630967, \"value\": 0.55}, \"10\": {\"effect\": -0.32079662532800307, \"value\": 9.2}}, \"plot_cmap\": \"RdBu\", \"labelMargin\": 20}),\n",
       "    document.getElementById('iP3ABZJYGEMB1WFH1TQAK')\n",
       "  );\n",
       "</script>"
      ],
      "text/plain": [
       "<shap.plots._force.AdditiveForceVisualizer at 0x7fc3ccf3ae10>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "shap_plot(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "sitting-missouri",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div id='iBH6QAONPP3FXL0JM9UKQ'>\n",
       "<div style='color: #900; text-align: center;'>\n",
       "  <b>Visualization omitted, Javascript library not loaded!</b><br>\n",
       "  Have you run `initjs()` in this notebook? If this notebook was from another\n",
       "  user you must also trust this notebook (File -> Trust notebook). If you are viewing\n",
       "  this notebook on github the Javascript has been stripped for security. If you are using\n",
       "  JupyterLab this error is because a JupyterLab extension has not yet been written.\n",
       "</div></div>\n",
       " <script>\n",
       "   if (window.SHAP) SHAP.ReactDom.render(\n",
       "    SHAP.React.createElement(SHAP.AdditiveForceVisualizer, {\"outNames\": [\"f(x)\"], \"baseValue\": 5.63094245204337, \"outValue\": 6.597926874653723, \"link\": \"identity\", \"featureNames\": [\"fixed acidity\", \"volatile acidity\", \"citric acid\", \"residual sugar\", \"chlorides\", \"free sulfur dioxide\", \"total sulfur dioxide\", \"density\", \"pH\", \"sulphates\", \"alcohol\", \"predict\"], \"features\": {\"0\": {\"effect\": -0.023112925376432884, \"value\": 7.1}, \"1\": {\"effect\": 0.39927814962943625, \"value\": 0.27}, \"2\": {\"effect\": 0.031031383203593388, \"value\": 0.6}, \"3\": {\"effect\": 0.010628629193894722, \"value\": 2.1}, \"4\": {\"effect\": 0.015288146824444055, \"value\": 0.074}, \"5\": {\"effect\": 0.013454869661757385, \"value\": 17.0}, \"6\": {\"effect\": 0.05735420785571075, \"value\": 25.0}, \"7\": {\"effect\": -0.009166211223832592, \"value\": 0.99814}, \"8\": {\"effect\": 0.004187863693395009, \"value\": 3.38}, \"9\": {\"effect\": 0.2676319283317471, \"value\": 0.72}, \"10\": {\"effect\": 0.20040838081663997, \"value\": 10.6}}, \"plot_cmap\": \"RdBu\", \"labelMargin\": 20}),\n",
       "    document.getElementById('iBH6QAONPP3FXL0JM9UKQ')\n",
       "  );\n",
       "</script>"
      ],
      "text/plain": [
       "<shap.plots._force.AdditiveForceVisualizer at 0x7fc3ccf4c610>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "shap_plot(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "surprised-montgomery",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div id='iLHM3DN6KT6JTK3BHK1SI'>\n",
       "<div style='color: #900; text-align: center;'>\n",
       "  <b>Visualization omitted, Javascript library not loaded!</b><br>\n",
       "  Have you run `initjs()` in this notebook? If this notebook was from another\n",
       "  user you must also trust this notebook (File -> Trust notebook). If you are viewing\n",
       "  this notebook on github the Javascript has been stripped for security. If you are using\n",
       "  JupyterLab this error is because a JupyterLab extension has not yet been written.\n",
       "</div></div>\n",
       " <script>\n",
       "   if (window.SHAP) SHAP.ReactDom.render(\n",
       "    SHAP.React.createElement(SHAP.AdditiveForceVisualizer, {\"outNames\": [\"f(x)\"], \"baseValue\": 5.63094245204337, \"outValue\": 5.997056118381937, \"link\": \"identity\", \"featureNames\": [\"fixed acidity\", \"volatile acidity\", \"citric acid\", \"residual sugar\", \"chlorides\", \"free sulfur dioxide\", \"total sulfur dioxide\", \"density\", \"pH\", \"sulphates\", \"alcohol\", \"predict\"], \"features\": {\"0\": {\"effect\": -0.024152855294447214, \"value\": 8.2}, \"1\": {\"effect\": 0.269339540427111, \"value\": 0.28}, \"2\": {\"effect\": 0.005149548143416746, \"value\": 0.6}, \"3\": {\"effect\": 0.0007523072034280385, \"value\": 3.0}, \"4\": {\"effect\": -0.05744643277768078, \"value\": 0.104}, \"5\": {\"effect\": 0.021509185427005997, \"value\": 10.0}, \"6\": {\"effect\": 0.03609652150556936, \"value\": 22.0}, \"7\": {\"effect\": -0.012654434873165076, \"value\": 0.99828}, \"8\": {\"effect\": -0.00450306060788491, \"value\": 3.39}, \"9\": {\"effect\": 0.030382900713864014, \"value\": 0.68}, \"10\": {\"effect\": 0.1016404464713494, \"value\": 10.6}}, \"plot_cmap\": \"RdBu\", \"labelMargin\": 20}),\n",
       "    document.getElementById('iLHM3DN6KT6JTK3BHK1SI')\n",
       "  );\n",
       "</script>"
      ],
      "text/plain": [
       "<shap.plots._force.AdditiveForceVisualizer at 0x7fc3ccf4c950>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "shap_plot(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "primary-radio",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div id='iR5SGOIFEB0BS00BNVBKC'>\n",
       "<div style='color: #900; text-align: center;'>\n",
       "  <b>Visualization omitted, Javascript library not loaded!</b><br>\n",
       "  Have you run `initjs()` in this notebook? If this notebook was from another\n",
       "  user you must also trust this notebook (File -> Trust notebook). If you are viewing\n",
       "  this notebook on github the Javascript has been stripped for security. If you are using\n",
       "  JupyterLab this error is because a JupyterLab extension has not yet been written.\n",
       "</div></div>\n",
       " <script>\n",
       "   if (window.SHAP) SHAP.ReactDom.render(\n",
       "    SHAP.React.createElement(SHAP.AdditiveForceVisualizer, {\"outNames\": [\"f(x)\"], \"baseValue\": 5.63094245204337, \"outValue\": 6.235776540718571, \"link\": \"identity\", \"featureNames\": [\"fixed acidity\", \"volatile acidity\", \"citric acid\", \"residual sugar\", \"chlorides\", \"free sulfur dioxide\", \"total sulfur dioxide\", \"density\", \"pH\", \"sulphates\", \"alcohol\", \"predict\"], \"features\": {\"0\": {\"effect\": -0.008457621191313103, \"value\": 6.8}, \"1\": {\"effect\": -0.02811767058604255, \"value\": 0.49}, \"2\": {\"effect\": -0.03153859400186093, \"value\": 0.22}, \"3\": {\"effect\": 0.01024183526551287, \"value\": 2.3}, \"4\": {\"effect\": 0.014738908760490608, \"value\": 0.071}, \"5\": {\"effect\": 0.021169531272166402, \"value\": 13.0}, \"6\": {\"effect\": 0.041818317291744955, \"value\": 24.0}, \"7\": {\"effect\": 0.02504802373391896, \"value\": 0.99438}, \"8\": {\"effect\": 0.007502501519066761, \"value\": 3.41}, \"9\": {\"effect\": 0.20443357242712035, \"value\": 0.83}, \"10\": {\"effect\": 0.34799528418439624, \"value\": 11.3}}, \"plot_cmap\": \"RdBu\", \"labelMargin\": 20}),\n",
       "    document.getElementById('iR5SGOIFEB0BS00BNVBKC')\n",
       "  );\n",
       "</script>"
      ],
      "text/plain": [
       "<shap.plots._force.AdditiveForceVisualizer at 0x7fc3ccf1d410>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "shap_plot(4)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "european-creation",
   "metadata": {},
   "source": [
    "### SHAP interaction values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "excessive-moderator",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 828x475.2 with 7 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "shap_interaction_values = shap.TreeExplainer(model).shap_interaction_values(X_train.iloc[:2000,:])\n",
    "\n",
    "shap.summary_plot(shap_interaction_values, X_train.iloc[:2000,:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "consolidated-gibraltar",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}