Explain your model with the SHAP values for article.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Explain Your Model with the SHAP Values\n",
    "\n",
    "* Please read [Explain your model with the SHAP values](https://towardsdatascience.com/explain-your-model-with-the-shap-values-bc36aac4de3d)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "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,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv('/winequality-red.csv') # ,sep=';')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1599, 12)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "df.columns\n",
    "df['quality'] = df['quality'].astype(int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "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,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x11d5cde90>"
      ]
     },
     "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,
   "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']]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train, X_test, Y_train, Y_test = train_test_split(X, Y, test_size = 0.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.02771784 0.14608857 0.0098873  0.03979135 0.03834853 0.02349039\n",
      " 0.07114265 0.01940386 0.04327445 0.20548462 0.37537044]\n"
     ]
    }
   ],
   "source": [
    "model = RandomForestRegressor(max_depth=6, random_state=0, n_estimators=10)\n",
    "model.fit(X_train, Y_train)  \n",
    "print(model.feature_importances_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "importances = model.feature_importances_\n",
    "indices = np.argsort(importances)\n",
    "\n",
    "features = X_train.columns\n",
    "plt.title('Feature Importances')\n",
    "plt.barh(range(len(indices)), importances[indices], color='b', align='center')\n",
    "plt.yticks(range(len(indices)), [features[i] for i in indices])\n",
    "plt.xlabel('Relative Importance')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "import shap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Setting feature_perturbation = \"tree_path_dependent\" because no background data was given.\n"
     ]
    }
   ],
   "source": [
    "shap_values = shap.TreeExplainer(model).shap_values(X_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "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": "markdown",
   "metadata": {},
   "source": [
    "Can the above variable importance plot show the directions between the features and the target variable? Yes, that's the power of the Shap value plot as shown below. This plot is made of many dots. Each dot has three characteristics. The graph below plots the SHAP values of every feature for every sample. It shorts features by the total of absolute SHAP values over all samples. The color represents the feature value (red high, blue low). \n",
    "\n",
    "* The vertical location shows the feature importance.\n",
    "* The horizontal location shows whether the effect of that value caused a higher or lower prediction.\n",
    "* Color shows whether that feature was high or low for that observation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def ABS_SHAP(df_shap,df):\n",
    "    #import matplotlib as plt\n",
    "    # Make a copy of the input data\n",
    "    shap_v = pd.DataFrame(df_shap)\n",
    "    feature_list = df.columns\n",
    "    shap_v.columns = feature_list\n",
    "    df_v = df.copy().reset_index().drop('index',axis=1)\n",
    "    \n",
    "    # Determine the correlation in order to plot with different colors\n",
    "    corr_list = list()\n",
    "    for i in feature_list:\n",
    "        b = np.corrcoef(shap_v[i],df_v[i])[1][0]\n",
    "        corr_list.append(b)\n",
    "    corr_df = pd.concat([pd.Series(feature_list),pd.Series(corr_list)],axis=1).fillna(0)\n",
    "    # Make a data frame. Column 1 is the feature, and Column 2 is the correlation coefficient\n",
    "    corr_df.columns  = ['Variable','Corr']\n",
    "    corr_df['Sign'] = np.where(corr_df['Corr']>0,'red','blue')\n",
    "    \n",
    "    # Plot it\n",
    "    shap_abs = np.abs(shap_v)\n",
    "    k=pd.DataFrame(shap_abs.mean()).reset_index()\n",
    "    k.columns = ['Variable','SHAP_abs']\n",
    "    k2 = k.merge(corr_df,left_on = 'Variable',right_on='Variable',how='inner')\n",
    "    k2 = k2.sort_values(by='SHAP_abs',ascending = True)\n",
    "    colorlist = k2['Sign']\n",
    "    ax = k2.plot.barh(x='Variable',y='SHAP_abs',color = colorlist, figsize=(5,6),legend=False)\n",
    "    ax.set_xlabel(\"SHAP Value (Red = Positive Impact)\")\n",
    "    \n",
    "ABS_SHAP(shap_values,X_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "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",
   "metadata": {},
   "source": [
    "We can describe the model. A high quality rating of wine is associated with the following characteristics:\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",
   "metadata": {},
   "source": [
    "To understand how a single feature effects the output of the model we can plot the SHAP value of that feature vs. the value of the feature for all the examples in a dataset. Since SHAP values represent a feature's responsibility for a change in the model output, the plot below represents the change in predicted house price as RM (the average number of rooms per house in an area) changes. Vertical dispersion at a single value of RM represents interaction effects with other features. To help reveal these interactions dependence_plot automatically selects another feature for coloring. In this case coloring by RAD (index of accessibility to radial highways) highlights that the average number of rooms per house has less impact on home price for areas with a high RAD value."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "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": [
    "# we pass \"Age\" instead of an index because dependence_plot() will find it in X's column names for us\n",
    "# Systolic BP was automatically chosen for coloring based on a potential interaction to check that \n",
    "# the interaction is really in the model see SHAP interaction values below\n",
    "shap.dependence_plot(\"alcohol\", shap_values, X_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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SrYogE11twwP+cxmR/GzaC3MpvXUWb/xmK63V0QNnSlEU5TiQe/2c7FTx5kTx9GK4bZ79+L2NdgeoH87db9J3vmOwY4E9V/So627ljPsnAXDve9m8nVsEwN3XfAbd6tkbOm5CfK+7yJRQDGvBZmoX+MCUDPrt6QCkXVTCmJov8+y1S7Ge2IIAXnqxlBuXnN9b71hRFOWI9bfqaFUSPlG8tKzn9sKV+00mpWTn61Wd2zsX2sG46Y1KmvPSO/ebDo3vn+fF77K3B6XCz2YJfjjHhRe7xKtZFt9/ZzEO7OURw9ta9n29d8qJOB20uV34tjQSCyX2SaMoinL89K/e0SoInyg+f0bP7WtmAhBtjGHGu6qJhRDkjLaDrS8RZVbTNhrGPsDWC17imj+9RyBiDym6qmI3lw0RtI3ZRjy+iNLTanA7NdIbgmwsKuOvCxay4g8PM6u0nDBe/j5rPOPGzWbg/wthVNhBOfRWKUtKCrj56rO55eqzeXb8MIQaoqQoSh/qb+OEhZTqS/VQbrjhBvnEE08c+xd64SN48n24REd+8Sze++Yydr1SQUq2h/PnzyJ7TAYAkaYYax/bTsmD/8VXWgdAHBe7KMZ0ChpTfVQMyqNAtHDBmsUAyBQX4pU72Tj3HcyWOMKtkffQbPI2rmTXPzcw+ks/7MzGmUMdPPH0S0TeKWfOzddSnRYA7LWHI7/OxOM8+S98RVGOi17/smgQP+wRtHLkz07qLyRVEj6RfHYGPHc33HQ29aua2PVKBWCXhtf+eXNnMm+Wh+l3jcUf6+oo5SKBhSAladKalUZrmp/8utrO50U0QXDu3zFb4lhC8NQZU7j9w1S+WjmBqIj3WCnJ7YDIO+UAZIe7ZujK8Gm41BWjKIrSa9RX6gnKnerqcQ/pTnfvm+ZbXVXYsdNGkfWNSWTcNBrXkDQAyjPyu/UelLhbmgDJjoG5bCvOB6AhkMkHw6byzeULcVtJsrxw3zlu9kTbXy98l2nldhv0bG+E+LIqpKVqTxRFUXqD6h19gso4JY0Z957Kpid3kDY4wJS7xu6Txv2ds3FcMhZiSVJPHUjunmNrojx/9zpKKWRF0QgGN1fy5JgJvD9oOGeUljI9t+dKSJqZ5MlRZ3H69kraUtz8celAHn3+CmpvWUhGKI5HWly9cTP3vv4RO/5PkHn+QAYsnIsQJ3UtkKIoJ6H+0A7cnQrCJ7DRNw5j9I3DDprGMTq/x3Z1WZTWxgTX/3UKdduaufNXhWxIzWCTzw68rw0bywtXalzfKHnrrVayV1cwc1UdC9Y9x9bsPGJOFwYhzAdGs/nuz/DaliSrvdn895HniJACQOyNOnK2N+M+JevYvHFFUZQDUEFYOWGtfL+Fp/5YjrRg8Agvjkm51KekEtV6XrRLG538+mIvQ9eWkvPOewCkxuMkRSOb8gqY2tDIn76+jqIPdjJFgHfyUDyaBh1Dmyw0zISqklYUpS+oIKycoJa91YTs6F9VtjXC8An2Rl7cpNItiXcEY69Lo3ZrOyuf3k1e4UD88RhFLS1sLxxAe4qPsZOzyH94NYWt9vrEOcEwiTmDcS7YAUAkw4traPq+GVAURTnG+tvtvwrCJ5HHjAT/+2qM9BTBv65LYUbxXisaNXQtc6hZFtNEK63T0lhdalLXmqDN6SDkdHDBCCfNmxqR8SR1qalAKquGDqGsxF4EovnjZi4Id/W8zgxHWV9SSHKKwBNPUpOXwfgWk4wCdfkoinJ8qeroE5Su6yOA+UA20AjcaBjGtr3S/B9wLZDs+PmBYRivH++8Ho1QXHLrCzGSFrREJV97KcbKO3w90gxobkLbESLmcZPW0saK+zSGDPZz7UMzuefX9cRbJR6vxjCvj2cX1tK9v7Xsdl1HPB6WjBnCOWvsj+/tCadQXyPwF2STkkySW+wlNcd1HN61oihKT/0tCPenIUrzgIcMwxgBPAT8ZT9plgFTDcOYCHwJ+Leu697jmMdPpHs1zP7mWBny6kZmrd3KOcvXM2V7OabbSVNFhPdeayYetQ+IRSxe+lc1L4RyaQrYQTypCdoD/s7z+ENR4tlpbLptJs9ccBo1QwZiOh20e1M4+4sD+eJvRuFw9qdLR1GUk4eatvKEo+t6HjAZeLpj19PAZF3Xc7unMwzjdcMwwh2ba7H/gtnHLaNHwEpaPbb9bsG8KzwE3DAwTfDgZZ59jnG0xzofa1JipXhoyctiYHHPMcZZ8XZMh4NFp45l0cTRvDdrFGkXFjE20c5k2Y53mJ/AxEwu/ek4ot7uryOYckk+vjRVClYUpW/0t2kr+0UQBgYBlYZhmAAdv6s69h/IjcAOwzAqjkP+Dpu0JG98bzUPT32dp+cuJlTX1TZ7y1QX7fcFqPi+n5kljn2OFRneztJyS8BHu9+L1DQG5Dm54ZoMxo1wc9PnM7nyS8VcWL0aKSRpVjsPXZHk7ruKuP5pnSX5OVS3apTuSnDf/CZG1tYhLAukZMa6zdSO/Sttj68/Tp+GoihKT2opw35A1/U5wP3AeQdJcytwK0BBQcFxyhmULaln28JqAJq2B1n52E5mf3fMYR1b8vZVbJ/1LE9NHEWm04GlaYQdDu7/WzOD28MkE5K3Vjfy7kNJioeW8MqcOqKOVHYtauXujbU8Gc/gjkq7R7QQAu29KpozU2lOSUEKwfohg5i+cDu1N7+O/+JhOLJPmpp8RVH6if5Q+u2uvwThcmCgrusOwzBMXdcdQGHH/h50XT8NeBK43DCMLQc6oWEYjwCPgL2Aw7HJ9r4cbu2g2wfjOzWH8e238djPwuRWtpIXibIuO4NLKutJdozrTa9tJbOpjUhtCktHDyX8/5ZT7XDz2K2TEJok4nTgTdqrKGWFwmwoKsTsqDApzc0m7nTgTprIhNlL71hRFOVI9K8g3C+qow3DqANWA9d17LoOWGUYRn33dLquTwX+Dcw1DGP/C/b2sUEzcph4fQneTDdF07OZ/KWhR3S8EIKXLk1SHvDw7sB88uIJAqYdMANtIYburCKzJciAygaeeqed+aOH40iaOEwLKQQvjCwi6LQYVbWDz2bU4/T0vEQ0y8J38VCcBYFee8+KoiiHq7+1CfeXkjDAV4D5uq7fAzRjt/mi6/oC4B7DMAzgz4AX+Iuu63uOu8EwjHV9kN8DmvXt0cz69uijPn7GbT+n9eNtbM8ezINzvkTC6UIkEgyuru2RLtIS54VJI0lJJLnhgw38d8YohjeU8b03/8yQ5no2jRxFxt1nk1zajJmQnG+swWlJwq/tIlkfxpnrO0AOFEVRjo3+0A7cXb8JwoZhbAam72f/Rd0eTz2umTpC4fYkVTsj5BenkJp56B7IW+tN7nw5SjQp+cWFKUwr7vhz1rQAMLyxjB+88UeWFZ/J6B1lOBMmK3KHEHO6CbmcfFAyAID4+SWkbmjlc2t28tCz93ae31XbxAPbHLjys0mJJxjj6ji/lPsfI6UoinKM9YfSb3f9Jgif7Fob4zx811baGhOk+B3c9qtTyC8+eMenzz8VYUWlXdV86T/C1N5jL2HIj+bClx8GICPYRvauZvwxe/jS1Lod7Azk8oMLzqKwOYg7bjIr2s66pJuky8PLY85mU34xKYk4GwL26yekIOFyc8+Fc5i7dRv5P5uFM8+/b4YURVGOMRWElWNi08ettDUmAIiGTNa+38J51+8/CLdFJQ9/GGdbQ1fnqIaQJGFKXA4Bt5wHc8ax+Ztv8WqLPdGG31hOVjRIxOEmpz3Er55djKCjaifgIvsLk3mn3c/fp1+KJex24Dp3z8tDAgWN3yTD1y+6EiiKovQ5FYT7mGVJNE2QOzClx/6cgftOxrHHRfPaWFplP3aZJgmHgx+d48HlEPx3Y4LdLRZXT8hny5gJON+pJiWY4M3xEznzzpGML7bY/pUliPVBNCRJBLs8Xsb9/Q0u0+qo8qbx4tjTqczMwlmQzezqcpbmD8TSNK7ctIl07wldo68oSr+nSsJKL6htt7jwbyHWVFtcM8HFk9cFmHtnMZuXtzF4jJ9JZ+1/rV4pJR9WShD2hegC1l0YQdz4H9bVR/n3zCn8c8oYfr84zq8jcbyhiJ0uHqShMY551VCy7pxE5Ja3cWAPSfrr7FG88tKHOKQkELOYu9TuOP7R6OGMq9xOcypYAsJWNs/PDTH1jtEUn3n8xk4riqLs0d96o6h6xT7ym/dirKqysCT8a02CVzYlWdKWZE1ZOW81x1hVK2mK7P9yG1/b2Pl4Yl0D7h+8S7IiiCOW5LvvLCM9EmVHo4XYa3rJf74Z5kv31RPZ0Iij41L2Jk0u3bQTh5RYCKJ09XgeU1pOW2aMsyuXc27FcqY2r6BxQyuL7lxOvD1xDD4VRVGUg+tvQ5RUEO4jLkfPi2fNx7Vc/4Xv8ct5D/LtL3+fL/98G8P/ZrK6rmcgFkLwp2FBbjI2cvOyDfxsRIx4t3kzJCCFYECqQP/iULy5drV2Y8BPZU4mVQ0mm9Iz6X4/uSU7h/tOP5ukEIQ9XdNhNqT4GNmwu3N7QKQeh5XEjJqc/ocgjyxPkmiNs3TOa7yW+RQrv/Ae0upv96mKopxI+lsQVtXRfeQ7czwsrzBZWWly7UQXA19fR1bEXg/Yl4hz+QaDFbUxmh9cx8rRWewuyiEwwMfsO05h9r0TGb22mcUrwjyw1GLAgDHcWhDCF4tT/pUZ3HVWGjdOcVOUpXHtwvN4441mnl4QR2r2PZf3kmHkx1pp/PtGNsgUFg8tYmvRqSwaNZGWLD83v7+CkMfN81NG8+L8zRSE7CFPNb4cWjMzWJWVzuqgRtldr7G6rIGWBrvEXf1iOVl/3kTJ1w9vmk1FUZQj1R8Cb3cqCPeRTJ9g0Ze7hvkYsgTzEYGjY/ztrvR87n/mbSxNY3EgC7OqGWjGjFtc8ONx5EzI5KX5EaSE2sw0/jNqNBeflsLMm4dx8bCuTl4uv5OLrsih3hlk1dY4U0d7OHOKF6bMxHvLBJad9wbfXroKKykYWtvCBfdfz4+utqfUHtjcRkGzxvbUIWwcWMLGwrHEXCkUCsF333mX7y57jw2uYeBK73y9ppfLVBBWFOWY6W91bSoInyCGTy7i8XEXkZFoYGNOMfKUoTjkOqIuB6ajq4q4rSrS+Tgn00FTi8moXZXU52by6E4nY7+6lrv+exqObtXKQgi+eGkqX9zrNdOHpnL6Tyex+cFN5H5QiQRuWLKep08bgydp8vW3PwIEgYiLFcWTibpcJDSNtHicghaLCkchmYkIIc1HTHPiMk0KLjvYwlWKoiiflCoJK8fAtgc3koinU086ufUws7SUwCVDkK/sIjcYpD4QQHMKTv1ccecx374tm7//u4Wy1kyCfrtD1ar8gTRVRckdYpeyG2pi1OyOUTLKRyBt3z/3yOuGMmh8ButmvYTZmuCm11ZybksD8aZWLt9o95JeOvQUar0pbM7LBSHIDYWYsXwNLtO+Jx0ca6AsL5/0y0+h8OvjjvVHpSjKp9jRVEcLIUYA87HXj28EbpRSbtsrTR7wGPYSuG7gbeAbUsrkJ83zwaggfIzUv7KbTde9C5Zk+B9nUHjzyIOmT0t32VNBdgw9SktzMujpy0iUtjEyK4XGqhjeTBdpBV0TeBTkOvnB13P4381ttLbb+6QAd7bdGat0S4iH791FMi5Jz3Jy56+Hk7bXdJirhz5Jclc7mgD/rEICp+Uz654pXPvdGh4+czpImFjTSnOKszNv9X4/MU/PS+c7n53D7pEDWNkqGZzev+5UFUU5cRxlm/A84CEp5ZNCiOuBvwBn75XmB8AmKeXFQggXsAS4Enjmk+T3UFTv6GNkw+VvYgWTWGGTrbcsPWT64XeNZ1wG5DaHGOlIMP5nOkII3EPScaZ7yB+d1iMAd3frNwrxewWagOuuziS9o8S7ekkrybhdWm1tSrJtbbDHcVWPbCK5y47eQkJ4QxMlv5qBI+DilaJcjJJCVhcXsGFgLgVWAqdlAeCNR2kcNpCQ10cSjWWFRawuHkBTBN4ps476M1MURTkUudfPoXSUcCcDT3fsehqYLITI3c+pU4UQGuDBLg1X9kqmD0KVhI+VvWKRGYnj8LoPmNzhc3H6x58l2RLDke5GiAPf7bU1JXj7hXqEBudcmceoESn8bSn6dssAACAASURBVN7gztm39igo7uqgJTTIL+o5K1ebsEcL7zkirmmEIhavfxgh6rTzeu7OWoa2hAA3I4NthIVJYUuUMn8GO2dOI2NzLSNqWpiws5aNw/M5NV+VghVFOXaOoiQ8CKiUUpoAUkpTCFHVsb/7crf3A88B1YAfeFBKeegS1CekgvAxkjIkQHSXXfJ0ZnsOGoC7c2YceLrKPR79WSlVu6IAVOyIcPtPhwH0CMAAM87LIpmUVGyPMH5GGkXDepakiz8/jDd+sZ4Bu+pIuJyY98/m2w80sak0QX5+KrVpKeSFol0HWIKSlnBn1NYckkcvOpVkzOLUdMkts+DUfFW5oijKsbN3EBZC3Arc2m3XI1LKR47i1FcDa4FzgFTgNSHEXCnls0eb18OhgvAxMmPnNez+7TrMYJIh907qtfNKKakp6wqMVaVdj5NJyaLXWmhqTHLG2WkMKvYw68LsA57L53cwZ9mlrPqonew8F8PG+bn3TnvN4ZG17aSH4+zK8DO+vg2AUYMdRKqjRHxdJepLahtZn57KO8k0Pn6mlbMGZzBu0KGXYVQURTkae1dBdwTcgwXdcmCgEMLRUQp2AIUd+7u7A/iSlNICWoUQLwFnAcc0CKtiyzFUfNf4Xg3AYA83mjwno3N7ypzMzscvPNPIs/9q5O1Frfz6Z5UEg+b+TtFDZraLsy/OYuLUVAJejREdaxIL4OYJGu8/WMhX7i7i6mFRzvzNAuas2Ig/HEUCMacTNI1x7SEKozEsBK8vDh709RRFUT6JI50xS0pZB6wGruvYdR2wSkpZv1fSXcBnAIQQbuBcYH2vZfwAVEn4JHTt14uYNCsDTROMmBjo3F9WGut8HApaNDYkCQQc+zvFAf32W9ksWBrG59G4cKZdfT1+SoCN164mTdaSE05wyeJ2lk0czpqhwzuP0xC4LYtx2Uf2eoqiKEfiKHtHfwWYL4S4B2gGbgQQQiwA7pFSGsCdwDwhxDrAAbwDPNormT4IFYRPQkIIRk1K3Wf/9NNT2bTBnsxjULGbwsIjrxZO9Wl87rzAPvsDjVspYjMAGdTwVPpYsttaqUnPYHN2KutLcphIlDPP3vdYRVGU3nI0M2ZJKTcD0/ez/6Juj3cA532CrB0VFYT7kdlnplE40E1TU5JxE3y43Efe2rBscSvPPV6HJ0XjpjsKGTLCLg2nuVo603gJ8fb4kWimly2ZAepSU0ATrMbLS9vhmtG99pYURVF66G9zR6s24ZNUaYukvG3fe8Jhp6QwdXoAr/fw/rSWJamqjBNsN0nELf45r4Zgm0ljXYKnH63pTNd8+vjOx2UZecSkh8VDcqnL9FLSHuL25Vu5YnMFkYbI/l5GURRF2Q9VEj4J3b/E5J73TQTwu3Md3Dnt6NphLUvyx99Us25NGI9HcPudA7Ck7PH8Hr+fcDmpwQFkRNqoyxjBjtwM6BgSVZqVSl0ghaGtQepeTsLsUwBY8LcKjEVN5Ben8PnvDyE1U/WaVhTlk/nUlYR1XXfqur5O1/WUQ6U9wPE/1HW94GiOVfYlpeSnS+1ezxL4yZJD94A+kNKdMdatCQMQi0neXtTKtTcX4PYIUtMdXPOl/M60H/sC/HzmBdx97tX8ZcIY0mOJHucSe1Z/Ko3x0p/L2bG2nSUv1hMNmZRtCvHOMzUoiqJ8Ukc6Y9aJ7pAlYcMwkrquZ3D07/cC4B5d1xdij+VaYBhGf/js+oQQggI/7LaH7lIYOPq7wtQ0Bw4HmB1xPCPLwcxzMph5TsY+aWOpbojYf7Z2t4urNlfwUoqLZq+HcXUtFLVHCDqdpCSTfPxaA9LVM1/W0d8rKIqidPrUlYQ7/AH4ma7rR1x9bRjGGcB4YDPwV2C3rus/0XV98JGeS7G9fLWT84cILhwmePbKo29RyM1z8eXbCxgxKoWZZ6Qy93M5B0z7hYl2lbeQkrkfbmHg5joyatpwhBKs9/lYm5XOksw0nijMZ2FuFn9akmDhkAK2pKfRluXjjCvzjjqfiqIoXcRePyc3IeWhC6W6rm8DSoA49ryanTMjG4Yx4nBfTNd1B3AJcC8wAXgTeMAwjIVHlOvj7IYbbpBPPPFEX2ejz71XavLmVUuYvbIUgFafm5u/dQnBFBdTt5SzLLcriOfFE4xK2O3WSMnsEsH9PxjQJ/lWFKXP9HqUXCEe7hG0psivntSR+HCLUT/9pC+k67obmAvcAowAnsSeoeSvuq6/ZBjG7Z/0NZRja06Jg2h5ded2ejhOYWOQLYOyqU/rOT7YJ7v99wnB6kq1upKiKJ9cf2vLPKwgbBjG/KN9AV3XJ2IH3s9jLwv1KPBZwzBaO56fB2wHVBA+Cbj9ThL19sxc5TmplOanIyzJuKYW4qlpVAZ8BJJJPKaJlLJzNajWQNcCFrGk5Ln1SXwuweVjHNS0S675SxvBODx8nZ8ZQ7t6UW/dnaC0KsGU0R6y0x3UtVmsK08ytshBQbqanUtRPm36W5vwYTco6ro+FfgS9vJP5cDfDcNYfhiHfoi9KPJlhmHssyyUYRi1uq4fzYoXSh9IH5dJQ2kIY9wg/nbmONwJkxm7K/hM6TampmYTdWpYjhQEUOv1si0rnbqAB3NYV0n5ssejvLHN7ql16zQnCz4OU2HZAfWsh4M0/CyN2U9JdrdY5FQEKWiPkZOhce/XMrl2XjvNIUmGT/Dyt9IZnn/0beINW9toq4hQNC0Ld0ANn1KUk8GnsiSs6/oV2AshvwCsAoYC7+m6/gXDMF44xOFFhmE07eecYk8vacMw7jqybCt9ZeiPJtD6QT3DyxoY1xSkoKKM3//3b7jNJK0eH9+67jbSM/24q4NEXC6GtYfITsQ5f4wfgFBcdgZggEeWJ/EmhD1TKxAVGqMfMSmPaoBGY34q7UmL5jaTfy6O0hyy/wVbwpLX1sTJD7bzzvtB8nKdfP+ufFJS7L6GlmXx2OIYqSlwzfSeSzgCbF9UzRvfXY20IGtYgLlPnobLq4bNK8qJzvqUloTvBa4yDGPBnh26rl8I/AI7MB9MKZC2n/2NQNZhvr5ygsiYnssZlVcz/5dlTFjcyNw1b+A2kwCkx8Lc+Noi/n7qLGZvKmd2KMJHk4bjTfVR9aoGswbhdwuyLJMmzY66ObEEWbEEW71uEILiaJyamK/rBYWg0esiISEnvWdnfmcsyfMvtQLQ3Gzyq9/Xcc/37SHps37aQmmD3Q7974/jPPeN9B7Hbl1Qjexopm7aEaR+UxuFk9XlqCgnuv5WHX24Q5RKgL17ML8OHM4wo30+MV3X+9en+CnjSHFgRpM0ZfpxaMluz0jG1Nby3dc/ZEdBBs6Ixegd1Xgsi9qNzXz9oRZ27I6TH08gfE6Ez8nwSBQpTSaEokxsj9DscjIpR8KeXvtJi5gJliZ4/v0IfmmBlDg1kO09Bx/XN9gTiLRFLEobLISUCCn5eEeC6voEX7iriqvuqGTJ8iDZp3RVjzu9DtIG+lAU5cT3qZuso0MZ9tqKb3Tbdw6w+0AHdGvnde+nzXcosOVwM6mcQBrb4SvzSNs4lAt2xTAjXgRmx92ppB17oo9R7UFKh+dDOEHc4yanpZ3kq9u5r3YgO9PSkA77/m9ZYRZ3rtzKxjQ/CwfYY4lHuxJsa5eELUk0YZGRNBkUN4nEwQ/ENJCmZN4HcVxeD0MjMQTwji+Vs/8W5cGLnQSkxNcx7aZDWtz4wzoSQgME9zzaxoI/DMHlddC6O8zoK4oI5O87IVzplhDrPm6jaKiXSbP2ncBEUZTjr7+VhA83CN8PvKTr+rPATmAIcBXwPwc5Zk9PF9HtMdhjjD/Gnrij1+i6PgKYD2RjV3XfaBjGtr3SOIA/Yi/cLIFfGIbRq/no974zn7pXtpKuZaJFXNSSj0BSN9hFUXmMmOUj5nTgjls0ZnupKcwiJgR1ATfbsnIQtTCNNnYGPNSlppBw2dXSI9rDLBwATg2Wr4rymZpW6p0O3s1Ow2d2DW8SgHDApNYwXkuSBHZmp7De6cWMSrZsinLW6gQDrK5/VWnREYBtlhBs3hJn8k3DDvg2ayuiPHzPLpIJO5CbSYl+ZmZvf5qKohyhT2UQNgzjOV3Xq4AvAlOxe0efaxjGhwc55iYAXdc3Gobx617I66HMAx4yDONJXdevB/4CnL1Xmi8Aw4FTsIP1Kl3X3zQMo/Q45K9fMLalsHTc1bitOBdufpPccBOVFGNceC1r1jWS3djG0G21DN9Ry9CdtXw4eTgTdiyisLWOr1x5NzV+D2GAuElOU5iYS0MCmzMCoIHUYLM3hfRAlFOb2imKxngvO53urRo+S+LtKOVqQFsE8JmkmRKvaTE8FCYgodqbQlwT1HrcuKSkOBIjoQk0Ca2tSRYtbGHajACtNTFqSiOMmJxGIMvJNf9Xx3o8DMzJ5NTqJjSgbGt4nyAcj1v854UW3C7BVVeko2kaL2+1+NyLSeImXD9OMP9S1etaUXpTf6iC7u6AQVjX9ecMw7iq4/FNhmE8hj3c6IgcjwCs63oeMJmuBZmfBh7UdT3XMIz6bkk/BzxqGIYF1Ou6/iJwNXA8bhL6hZXaYNBgerlBSdhujRjBRm5ylPFsPTjDCZwdJVdNQkF1HRdULaMsNZtVBWlEXPYl5w/GSAvGCMSS/H5ECXgcCCEwE0mwLD7ITueUtjD+pGmXhLWuMcEhnxvZGsYC1vi9tDgdZCUsEHBOYzOpHa/vSyZYkeqkwWPP5NXqdBD22EHxCy9FOb+2iadfaiHREiMvHCUzUE3r1AJeyLbTb8tOJSVhMq6plbFTe/YtNE3JN75TQUuL/VrLVoS57rPpXP+2i2jSvmF4fJ3kezMsRueqFUMVpbd8mkrC53R7/AfgscM9qa7rqwzDmNTxeBsHuHk5kikvD2EQUGkYhtlxXrOj5D4I6B6Ei7Hbt/fY3ZFGOUwxlxuicTxmvMf+ilVBxm4NIbBoSfNRl5dOZnOQpYPzOMU5gb9Mu6gzAAPEPE4IxsiMx9ntTQWXw75IHALaY2CahDXBrF1bmL2+jZdHjmXTgCLaUpxUZPvZEUswqDlEdiJJs0OjNdtHJODhmQGpXLK1ivxQDF8ywe7U3M7XDDu6gmGlL4Vqj5sa6UJk+1hR6CC/NYKz0kTLlVgdyzRG8n3c/M1sRo31dx77+qvNPPuvRux7AweWEJRXJHjo9zVERxXZ7wFwWBZl9SYjswWa1r++OBSlr3yagvAGXdefBtZhd676wf4SGYbx8/3s7l6y/MRTXvYFXddvBW4FKChQKzHukTM9n8p3q1k2cDKD2ipIiwfh8mmUN6ZzBm+RCEh+N+erJJ0ukJJUy+IPw24k6nCAJTvXIC5ojzCitR2fabKmW3Ck2+PTt21k+o4tNAXS+N5bbzB/8kxemjqarEicCXWtCCArkaTN42BjwANAzOlgeWEWl2yrZkNqKqbEXiZKCEhx2ueP26XXnWlesuIJPh6ciRSCnTkBJu9uYlqwESPbT1ITLI84+J/5YZ6600O4OcHTTzVSXRrtnDrebZpEnc49b4tpNc0sLcwiEE8yrCnE9x+C50e5mXd7ugrEiqLs42BB+Hrge8BZ2FMpnLefNBLYJwgbhvFUt8dHPeXlESgHBuq67ugoBTuAwo793e3GHla1Z6avvUvGnQzDeAR76UVuuOGG/tYMcdQuuL2EfzcmqK5JZdWd9zPn0izITmXSl5+mbUk6O5PDGLiribJT8kEILE1DahoeKZlT3sCanFQyo3Gu3FrO1pwMWgJ+ZlU1sT4njagGZ5XV4o8m2JzmJz8U4b+nzgJAMy1O3VXLxJ21PH325B73wiXhKBultAMt0ORy8nJeJhXebj2eU5zg6bjcHQLCSbYG/HhdIDuOExKcFmhIpjaFWDkok3Cqh7rqFn5z904sS5JAQwpBXNtzsyAZOcJDUrOYVxvAFILLWhoodXk7lzlZvjnOB1vjzBrlOYZ/GUX5dOhvX8YHDMKGYewCbgPQdX21YRhnHe5JdV0/43DSGYbx/uGe8xDnqdN1fTVwHfbCENcBq/ZqDwb4D/BlXdefx+6YdQVwWHlVbFmFKXx13nh7IxyD+lbI9OMRPtYyDqIwan0lUZ+b2sIMxlZWMKRSsGT0aAoicQoq7MnTgikphN1uMqL2OOMzyxsoDIVJSSTwJE1GtbRTldlVlWw5NGIpLvzBKKfvqKB0UCEAOU1t6GU1VLodrBlWABJCliTqcaNJaY8lFMLudr2HJsApIGYSQXSW0HPbo50D592mJDcYoyLTR1l+OnXNQQrCMaSwaHO7OwN+XMDbVQIjxUfUbR/9svRDVJLudFCStMcyr6iRzBp1jP4oivIp8mmqju5kGMapR3jet/batgdodpGACbjpPV8B5uu6fg/QDNwIoOv6AuAewzAM4AlgOrBn6NJPDMPY2Yt5+PRYVwbn3Av1bXDeRJqiY3s8Xbyzjsm7djC4vgGQTNu+jd9delnn8yGPG7fZ/Z5WMqFqE+sLRuBOmphOB/k1beweZJdmNdPCE00ggUAwYv8ORbn8TQN30mTqpjJ+e/F0/nX6OKZWNTOsppnKwlwksMnnpiHRURWtYQdklxtSTGiOQlME/C4iPef+IKEJBrRFaHM52ZqVSkE4ZhduRdelrCFY73QS7V7VLAQDY3FcUqJZFjUeFxeNPfClvrTM5IEPEswocnDXbNWbWlEO5kQqCQshTgFapJT1Qgg/8B0gCfxGShk9nHMck8lyDcPo/CbRdf1G4HLgu9hLFw7FrsJ+uZdfczN2gN17/0XdHpvAV3vzdT+1fveyHYABFq3hv7MnMMFp4UjapcEBDU0U0tqRWFDUXMGg5mrKM+01hVOSSVLjEHbZJdaLV33A1F1bmbZjJc/oV1FY3ciYbeX42yM0ZgVIDUUwhUZeNMjQVU04I1Cfn4Y72RU5z920m9HlzUzcUcMfrjuzs912QmuYFQLCbgcJZ7eVl1wOu2ralBA2aUNQ5nbiMy2CbgdTq1vwJ0ySAlpSnASdDhYU5TGyLUxROIYEgg4HQU2zvxk64nBOPEmuaVLhcRGVDtJMiyynxf4mqNtQazH7Uftcz26w2Nli8dClqtpaUQ7kBCsJPwXchN0B+OfYzbdxoAi7YHhIx2PG+vuACYZhtHdsb9N1/WZgDXbJVDkZ5faci/ntwmL++sVp/OOZJwi15ZNCBIGF7Ag8DhHjxwv/xIJTz2ezczgT15dhaRrrJgxi6vY1NGu5bEwdQ1qilaLyCgbWttGekoKVhMy6ICAZEmzGGbVow8/4zZXU1LeS0DRclgVIMuIxCrYHkYDTtDrbbR3SIpLlI5Gy1+VuSftHwIBYlDqni0qPk4HROKNbQvg7ps50SvBFEjw+ogg0jQa/h8K2MLPr26gOeMhLmlQJu1o7w7LIsCRrstOQQpCSSEIkztKNcS6bue+/27Mbkj3u7BdsseDSXvobKUo/dIIF4WHAho7Hc4GZQDt2h+bDCsLHYwBjGrD3nIApQPp+0ioni3uuhhvmUDVsCD+Ycx3laTm8+MIvGRnbic6H5GjVZNKElxCptCIcJv5ElPHbNjF59S4cpsSVMNFX7CTUbX2PNlc6mBqV+VkEPd2rcAVtLg9t+HCRACSZ7RFaPF6kZpFOiNR4CM2011i55P31eCMxsEw+HpKD6djrUo+b0B4Hl0a6QzCiPYrpcuJyOjHdLrZl+HsEx4qAF/Z0xhKCBp99SQ8KRpi7fQfFWHgCLoZYFjVed2dnr6jLCRpMGrH/6uiLRvRcE3nmYDWmWFEOxtrrp48JwCGEGAWEpZSlUspGIPVwT3A8SsKvAC/ouv4j7J7IJdil4/8eh9dWjpWAFx7/JsHqJC/9sZVrlrzB2MYKEvhJ4iLhDOGOu3BjL6rQ6vBT4R/AJvc43LGu0whL0piZQWqr3XxiObDbbqWkxZ+CJ24HVZG0KGxvIJt2PCQJax4qrSws6STbCqIBbmcImUghmXQx/+xxrCzJB2BEQwtbM1LttmAh7AAct8iPJRhf10JRJIoLcEqTt0ryCbs8oAlSpaQwFKXe62ZVQTrClHZwlZKS1jBL0v1EnRqtWiFDQnGKw3FMIUh2XwRKSn55tY9Bufv/V5ta5ODFz7t54MMkkwZo/O6i3uwmoSj9jzyxhvp9DDwEFAALAIQQJcA+y/ceyOGuJ+wAvo89V3SeYRjpuq5fAAwxDGPeIQ6/HXuyj9cAD3Z9+VPANw83k8qJa8QAJ0t+lEn7n7NhCSScJv8ecyVRp5sr1i8lEI9iAfWigOZkOsHUAGaBRnZdO1LTaM/0UDMwn7b0CI5EEiEt3PEErliCuMdJ0mmRVRchEE1SRx6tpHMKu/FZMYqtRuK4MN0WVan5DK5qRRJiWeHgzgAMUJXqZ2ZpDR8MyEVvCVIQiRNzaGTEk+SEw6RF7QUgSjwJJjmdvLnLYvaGci5YuZMdd8/gm74CEAIpJVNKa5iztZJ5408h7LJ7SS/JdjMqFCU/nkRKyfBglOYCH6EE3DFF48aZB1+h6fIxTi4fo9YyVpTDIU+oGMxt2G3BTcBPOvZNw45xh+VIFnA4F7tz1d879m3FXk/4oEHYMIwgcLOu67cAuUC9YRgnUgc35RPK9Gukf/Msmn+1BNEYYta2DSwYO5WXxs7k9IERHK+UQczJhqnFtAfsgFQ+NBfL4cAZN/FGooTS7P2p2S6mvLyEytQMIi43ea3tBKJxYh0tGjE8tBIgmzYkAoEAV4DCRrsTmACKI63khKI0+O1jCoJhrt6wnWmVdSweOhhv0iSQNLlg43IK25oxikcx9daRTD8vG4+0GHbVh3xICtsnD6RtVA6Ud/zXC0HD0GzYVUvY6bRL1R3Vztv9KaQnQsQ1QZvHxZLPxPjgtg+IPRFn8eLBTLt/Mi0tSdZtirJla4xTJ3iZNMXPhnrJsExBlu/E+mZRlBPViVQSllKWYa9J0H3fM8Azh3uOww3CnwdOMwyjWtf1PasOlWJXLR+WjsBbd7jplZNL8Gsv42loAWBgpI5pZVtZNmQUbYkIqbiJetydARjseaUtIXCaJhesN3hz3CTGfH4IszavZVvCYmp1acfiiNDmTaM+0tWtwIFFHBfJjsu3zeUljXa6++KqrezI8CKFxri6VpCS4pY2ztlUxlmFJlnbNjBhxUoAppZuJPSdO0nNdLGiwuQbMyaRMOEJKbn9T2txXTK9s1f1/0xy0rAswJj2EBvTu5p9sgIaa92pSE0Q9bsY9rbkypJiLmrezvbnynit2kslKcQc9nkWfxBix0gTI+4m2wvv3+RhTJ5qD1aUQ5En2L+JEGIW9pDYAVLKS4UQUwD//2fvvuOkKO8Hjn+e2XK31zvHUY7eOw9NVBQFe2yxi100GpOYWH7RxERjYhKMJvbYe9fYe0OpMtJEej3geuF62d15fn/Mco0re3AHe8vzfr32xezM7MwDuvPdp30fpVRQeTCCDcLR7BtA3UCL86AOQe5o7VArqGjyNqmqhOEF66jM6E9VWjwpBWV4qmup9jRMv/FU1jJ0WxYZe4r52fIlbN+xHs/OrxmHRTHp5DsyqerbgwnnGmz7x1r2kIIbgRO7RlyNmyoRybJemfSMKWHE7t2UeKJY3bcPJ69YzvDc3ShgVY8+7EhIIbJvLBf/vi/JM9KpyGgYkuDx1hGzaTuc0J8F2314A7OelBDsjI9h3vOfsXzGEC79/WBm9nXyxmvVzHxtFd8N78OLU4aBEJyf6OPyq5I58lU/+ASWELw5bSRHbNhJfFUtpdVgNavt7in0QZybomp4ZqWfebND7OmiaSFIOUKnJiyEuBB4CDtJ1N7ETwq7afqYYK4RbBD+AXsuVOO1dy8Evm/l/G6fO1rrmKh/nULVp2tw1tbiM5ykGjl8njoFf7YB/XqScdxAIteUYCmFsBRDdu1gRO5u4iz7d1x0TQ1H7/oWB3YETCKH9bNm0O+eWYiYGgY89zXkbmDZqGNYP2A6yUPiKPi+iOxqA7/DoDrKTW2kosbhxrJgWO5uwG6eziwrYltSGnW7ykk51p6nnD10MJl5yxDYNenI6cOJBY7u78TtsMduGZbF2OxCUsqqOWPtVqZFZeItM4h66SdQMGvlVobl7eGb6SOorjUYl27gdlhU2knAEEpRFRnBhn4ZeCMjcFoW3kATdmS0QXajHySZ8aHzYNG0UGaFUHM0cDswWyllCiHmBPatAUa28Zkmgg3CNwHfSCnPB6KklO8DEnti8j4OQe5o7RBzDkohpvRvWGvyiBzVg83fFeG//cf6475aP0N/KqA8zs0Q33Z6VxRRhxuF3Tz7w4DBnLhlXf35AsjeVs3KXy/n0jenE7PhITa/vZVFj+ZArp9duSX4nG5UhF177FWSx/Qd63hrxNGgFDVOFx6fl7W9+/LdiFEARO8p54mPKzj7yCh2jB7JT9sNYr1VZEencFyJIhYY38vBoutj+HqLD+cDJn12FgJgrd3D/6Z+yFfnTeRUh6Ay2oWhFFGV1QBMlvYqS8+caHDeBxZ1fhhbWcnSscNYkxpDenUdKVW17IzzcPmxUVxyVCRHbFK8vc7P5F4Gv5jUdKqSpmktC7Hm6AyllBnY3tvi6wOC/kIHm7ZyjZRyOHa793rsqUZXmaaZ195npZS/AJYF0kbu3ScBGcTIaq0bMSJcGBN7A7DtqQ0YPj+W02EHxZ+KiRkaj7FuDz4iUS4HEfEuxP8dh1kci6N3Cvz7e9TG3QjAh4O8mDT8NRbluTXEjE6gLCIWyAHspmJlNHwbi6Pj8HjriK2tojwiikX9hzLZm8eSgcPqB09VJsSy8JldfL0gjruOSeOb+bkUehOIsvxsP/59dgxNZPCbs5g4OJqxV97Lt98lUy1iUEBdpAEVPp6riGVKigdnIJFHSWwUN/06jfFjIln+SQHpNX5Kr0klIsrBkrWRXPlQNUlFFWxIimFxn2QmpMHVJzjwuARzJcyVelS0pnVEKA3MArYIIY5QSi1qLMC7WQAAIABJREFUtO8IYEOwFwj6CRBYDOFfHSjcXv8HjG+2bxvwJu2MrNa6r+h0D0kL86lzO3H6/DjdgnELTiHvhc240zzEXNAfIxBEZ+z90DOe+s878RPjrSRiRG9Sh9gDoIYc34OVr2ZRnluDYVlNlkZMqK3gi5GSlNoy0veUUOeLxDeqD35n0x+kP1+8mj5vlZJvKabMGUytT1Hz6mYMBawv4dPTvkJm7CF+SS7VEZkAWA6B3yGI8Po5d9Wm+gAMUAtEFZXzwQO5rPzMrjWv+TCbK8+Gl5ekcUJuCQIYX1bOc3EeLhnpxOMKqYeIpnUrITZF6W7gXSHEfwCXEOJ3wG8ILIMbjGDnCbe4ljC0up5wYwmmaTafuFwMJAVzb617OvL+yWR/mY0orkM5BMe+dDT+JVm4nvwOkRIFJ/WEpGbzZ08YR82yXXhxEzkwhhkPTKf3lDScEXYgjUmN5OKXp1G8oxJ/aR0/vr6D/DwfvaamsOxLD7WBJCADtucwfMNuVEUkZ905mPfv30pdlZ+4wlJSSqpwWnYQLX9hEz2OiiGv0bBByxCs3+FghrKbmS0BlbHO+tr07J25LO3dg0m78uz5z4mxvH7fNqISGvp3d+30UXfqv1Bn/KE+wV6c10+PmlpuX+DktIGKt9b6+XCzxZF9DH7Vs5KFb+fwgyOaHrN6cf14gSFaftIsy7E45x0/xTXweFw2p0ZWEHXqQIz45knpNC08hVJNWCn1jhCiEvgVdgvxTOAKpdTnwV4j2Jpw87WEM4D+wAJaWE+4mR1SymmmaS5utG8K+671q4WZc1efUb/tK6wid+rjdu0VyJv6DD03Xt/k/PzRU1nnqEH5ISrXIvq4Nyj6zTjS721YbdId7SR9hJ3xtNc0e6nDnM2VLPio4XeeFeNnFKvwnX8xWduK6bl2J5ZP4ReCugg3VNbZ5wlBzPcLKfIMpcIfQ0liFBXRESQUG9RZ0cSLAgrdqU1WTVJAj0gnG/qm4VIwrjSbI1YvwO1XfDxyFrlx6SSUluP2e7EsH3u/YhZQ6XZS6YXHVviZt8AegLZkh5f7DTe9ixO58rvVvLHZR9mVmdw+VaAqarCeXQIeF8alUxFOBzd8WMeOMgcXLlnF1He+oBBwjUql57JLMZrnxtY0rUsJIUQg4H7ewv6g8mEE2ye8zwAsKeUvsZNvtOch4A0p5d3YSwgOBm4D7gnm3lp48K0vrA/AANbu8n3O2XnfT6jA9KCqSgMPiuJ/LSfh4mFEjktDWYqvHtjC9mXFHJO/jAG7NyAmDSL1wavJGBxN9qZKUIrROZtw4sf52ny+LxmB8ivqIlyUpCVS0NcgY1cx6TklZGWmMG7TQiZXL+DL3tPITeqBXwg2jujDRvqAUiQV7MFT5Q3UaBX+zBgwDDwuJ4UuFycv+4SUant+9EXfv8n7vc8kY3cRfhyM27mYRQNn4kSxIDONEk8EsU5F/N7maANqI+wFxzb2TObzkf3oX7CHH/L6AuA98SHUwi32qQu24Js6DP/qFOjbh5N/3Fj/7+ZdU4B3fRER4xqyhGlauLJCpyIMUAqNkt83KCLI1t4D+en8KJAN/Kmtk0zTfDyQ9vIG7OQe24G/m6b56AHcW+tGVK0PUVmNiHWjyu1aaMTsAfucF5kZQ/nSAgAECrF3sKHLbo5e+1k+y9/aTb+SHQz8KbBk9bpdOIdmcNm8M9mysICYcx4gvSQwpT3KjSqyr1GWFMvYvDW4fbWs6jmK8hQnA4u2s6rnSIaXbSe6rgqEQZ3H3VDzFYLCHkkMyN9Gzz0F1Llc1BkGAy8eTkyiiy9jEoj8orqh/P4aMncUEJ9p4Jg5gw+Sj+VDK43xpeUkF5XRD8Ejl8UyKdPB8wtqKa6wKIxo6Af3GQZr+qRy0xCBqq6rD8AA1mdrqf6ugL/VRnLVheewIT2F6VuysBDkxiaz+zfLybxqCL0vHnjg/8E0LYSFUnM07LukkxCt9CW14kCC8NiWCtCSQMDVQfcwpOp8VMx8HP+iHXgMA84ai/uEIcTMnbDPuUMemYbhcVC7vRx3TgmOQi9JN44ncmQyALUV9gTcSF+zHDHFFbgiHQw7Lh3rodOxbv8fJEfjePRiRr5dwE9PbWb2lq8Ym2evODY6dy1bkvrx9eBjAFjknUz/dbktlt9TV8WZmz7EGaii/2BMYOLF5wD2HL2Kv16EuvUZEIKay09j0NFTSDl3AEQ6cb5Vh39ZDWZSAridgOCq16p4xL+Gnvn9SUewzhAUxEYQVefF6h/Po1cmM7mnANyIqf1RS7YBYMwciiPbYvxXW/nhn/+B5Chc9x7PljezKVldCcuK2PPDEuInJBM7IuEA/otpWmgLhYFZQojHA5vuRtt7DaCzR0dLKT+nadaraGACHRgtLaX0ACk0CtymaWYF+3mte/KvysG/aAdgJ79wVle1GIABXMmRDH/26BaPAYw8sQc/fpTLJmsguT36kJ63E/r3gF+dUn+OceEUjAun1L+ffHsGE24ejYp5o35fWmUhHw5tGObgdbno69sG2f0pHZhAsXCytzcnqbq4PgAD9IyobFKmmJtPhcuOAiGISYkjptGxX1Vk495RwTsDMqkJ/G+f7XPx5joHpAgEMCKvnJKiSlZHuvkh0kXfaMXer4jr0xvwP7kQEeXGuHI6MfkVVN70Caq8lqg/z8QleyPWLIDVgTJZitq8ah2EtbCmOlbR7CquwJ+i0TbYwz+W0jSxVZuCrQkvaPa+ArjNNM357X1QSjkAO6XXlBYO6wwFYc7oHQ9RLqiylzQ0hqTUH7PyK6i952uUUkT+37EY6W0vwRkR4+SSJydQVeolKu5YKCyD5Fhwtv2/kdNtwNB0WGP/5qtyeKiqawiXMbXljK5YRbUnhvyqWESMxfH/N5RFr+aQs6sXBdHJpFYW4RcG/OH0fW+Q2rA0duHyIrxlXvLXlLD1vrXMBlxVdbwwehgADsvPMVtX8EJyX3tlJqBYCFBQWW1x12c1PPJze9S4iPPg/O3x9dd29Ion7pXzmty6//XDyP8sG9+eOpJnpJN0pO4X1sJbKPQJK6UuBxBCrFVKzWvv/LYEOzDrzgO4x0PYI6HnYgfz6dh5NfV6wocBo2ccMR9dQe0jizH6JxH5p4agUnnGc/gX24HRv2gHsd/f0O71hCGITgysudujAzW+FffCdY+z7csSVu/pQ3ruHsYX/IjTVcewgk14fLUU9IrFG+nC6fNRnlXFdS+M57v5RRz16h+ZlL2ZHfGpjDP6ce61i9j5wS4QEDE2Bc/QBI64cRjZ72ex8q+rAXClNExZOubHbWSN6EWfXnDeg09w6sbl9Kku4/OLLyK5upgBb3zAyrS+/H3SSfitoAZU1kuQKcz86Qwqc6q4Jyea2/+nOHeoxTVjQyutkKZ1llDqEz7QAAxtBGEpZUYwFzBNM7udU6YA/UzTLJdSYprmT1LKa4D5wLNBl1TrtpwzBuCcse9ALP/q3Ba3u6YQTnj8Olb3ewOfYfctl9YlMTPva9xUszFuMLtj7bzSAqjMrULMupPE1Xsou+CPfNl/DACyzmcHYAAFNSsLydlVS0VuDVHZZfW38xbWgssAISj3RFBV7Oeib5dy4hNnwsLhzD5+DLNdXph4F1gW524ySUiK4II7zu7wX82V4ObpzU7+udwCFF9lKUYmC47sHToPK03rLKHQJ7yXECIF+A9wHM1mCymlgmrpbevn8i7sGmxrr73H22MBe4eQVkgpE7CTdfQNpoBa+HLPmdBou3lSta4R1SeaOreTqqgIakUku8QYdjCJT4cdX9/XpIC+e7Lgqx8ZXbiTH5/4LaMrcjlyiIvfHOVq8brludXED2mYqeBJ91B+2Ti+GTGQ16eNw28YxK3ZTdlXeXDrmTBpMGzOAcuq/8zvStbSO2H/njBZZU1r0DvL9ZLdWnhSQjR5HWIPAr2AK4FK4GfAIuysWUFpqzm6/wEVrcFP2E3Q87E7rO/HLuy2Trq+1k15HjkD11kjQYFz1uCDcs/U2yey+N/bUQh6VpXjXbeHlYk9KI+JBssiLX8P8bEGQ+Ia5jEn11Tw6YaX4Ol7qFmWQ480B3n5fjCgIioSBEy4bAAjz+hNdJ9ovKV1DLt2KK7eseResAxVUMgZq1cwqWwhrju/gs8+hy/+DMeNQfXrgdieh0JQtaAI484v8dwyAyOq5WBfUWPx70+r2VNlcc2xHgan21/hq8cYvLjOT1E1jE6BUwYc8oeTpnWJUOgTbmQmMFoplS+EsJRSHwohfsROy/xgMBdoNQibprmjkwr5KxpGVt+MnS86Drimk66vdVNCCFyzDu6S0ss/K0IFRh/nRMWy7Y8ns+HdvU3hgvz0JIq8PoqVoMkQpyOHY5XXsfOEN4mpEST6/fQ8dxARf5mB4TSI720Pphr/h7FN7venOzLJPfJF4iu34iKQV3PxBnhzEVxyLL5511B7zlP4cFFDDL47F5M1bzn333ouf/xNJn3imj5xbnmtknd+sK/z5U9elvwpEaEUvQw/G69wkFUuGJYEkc7QelJpWmcJgdpvYy6gILBdLYSIVkplCSGGBXuBoOcJSymHYS9SnErTaUZ3tfU50zRXN9reCswO9p6a1tkSe0awc20FAO4ogyMu6EVdhY8Nn+Tgc9m1T7/LybvfRzL3xtPg1QUwYQDc/nN8eZWsik6iOC0alGLkmnKO6BvN7s+yKf+phF5TExF/fxv2VMJvT4PBGUSM60Fmxe/g3nfg5ucbCpJkjwQvnDCQd44/kYkr1pNRVAVAbFUtR7yyiF+N6s3/zmr6FV2x00eRw8ACasot1m2s5pV/76aizM+oCdFcc3NvjBAauKJpnS2U+oSBjdjTdX8AVgG3CSFKgXZXGNwr2HnCF2APoloNjAn8ORb4tmPl1bRD66TrMnFFOqgoqmPaz3sSnxrB6bcN4YGPd1HRaLqfL7+K0ht+Tvx9l9fvqy6xKI621w1GCHIS4lnym6Vsf9se4T07aiXJm9bbxz8wsTY/wvvza9id52XmqbMYtm43LNkIZ06BUyW7C7yMe8Gg8NhZ9Bstmf+fJzACo6NLojyU1u5b/iJhUGdYoKDM6WDRF3uoKLPnMa9ZXsnmtVUMGRXdBf9ymhYarNCqCd8GRDTafhWIpbNXUQJuB+aYpvm6lLLENM1JUsorgKCr3JoWCiKjnZx6Q7999k+/qBfzn9mJ1+0msrqGyIoadn6ZQ/xVDXOXo1IiiYh3UVtqz3lOnpxG1iub2dsw5NzWaKLAriLefyOPp762g+o3i6t4ZN41JMUKdlz1DcW9X+DLqUOoHDUKgO0piTx53ixO/34VKyPiePDMmTx/VMO4yWqv4hef+9nkjoJ0oLwOf0UdEdH2AEwFrEqO4+YVDi5x+Dl7uJ6Cr4WnUKoJK6W+arS9HOhw/1qwQbgv8Eazfc9jj46+paM31bRQM/HaodTmVrPh+YZ8zYlDmuZld0U7Ofmp6fz47GY8yRFMvGEY859dSqHLTkCSH5FGvC8wTenE8awrjQDsFJs1tYqsXV7U0m3kvLyF1SN6E7GzjN/nL+OBI8dTGOOh8MQRTHx5CgNqFBc7IaJRv+7FH/h5e7NqyGsd6+Z3kwwuPC4OUeHj3XwnizwJsB0+2OFj6RUCmaHnCmvhZ3/6hIUQQ4DngGTsxRUuUUptanbO89gtvXuNAc5QSr0XxPVjsWvADeVUqr3pu0DwQXgPEB/4M09KORz7L6LbvbSwccSfx5E2JpGcxQVkTE+j19Hp+5yTOiqBmffK+vdH98tm/Xp7wYi+YyJh3l/tPuHZ4zhqVR1LVtRgKfBg8eyfNjG+bg8pSdHURtpN33G1Xq4z15A3ogfRiQl4/uwgM0Hw7kURDE1teNh8t9MCJUgrreDqL5YTW13HhJ/15IaPE6mqtigZFgv22hhYCjYUKYKZ6e+v9bPrfzswIhz0Pr0vQvcnayFuPwdmPQY8rJR6UQhxMfBf7JHNDddV6pK920KIscBXwKdtXVQIMQ07uDdeOUVgN04F1RwVbBD+AjgTeAZ4PfDeC3wczIellPHAKUBv0zT/KaVMB4wgEn1o2kE16KxMBp2VGfT5ER/ewth579g11JvPsNNoBkyXTtL/6OSjV/NY+UMlT4wbhGFZPLi5pMk14ipqiflhN/7l2fQbOYj1vgRu+9zLWxc2ZN1KMSwKKhRXfbGckbsKAch7rpyaoyZgOR1EbCnH089NtV/QLwFmDwiuFrz4ku/I+yoHgPxv85h4/+Sg/+5F1YoVeYpRKYL0GB28tYOjo83RQog07MFTexPGvwI8JIRIVUoVtPKxK4GXlFItjMxo4r/AB9i5oivbObdFwaatvKLR2z8B67GnGT3X3mellBOwf03kYM89/id2Nf8aoOPpgTQtlKTEwT8uafXwwEw3QzMcvJyVQI3L/rpdeelJPJS7gbrv87AMA8uwA6ZDKcbmF7M+OYHmFdKicgssiK6qq9/nsBSGZQEOkmu9PDvZS0L/aCZlCBI97T+pLK9VH4ABcj7dHfRfe2eZYsoLPnIqIDESFl7kZHiKDsRaSOoD7FbKXolFKeUXQmQH9u8ThIUQbuBC4Pjmx1rQH/idUmq/s+ME9XNZSlmf3co0TWWa5sumaT5mmmZ1W58L+A9wi2maYwBfYN8iYGqHS6tp3dDRZ/dgWM+mLVMjbhhOz0kpWA5HQz8vUBwbyegegntmN03WIXvZX9U3JgylzhH42o5MwRthn5few8m5x8cye6BBXASsyPbx9hovWXssSndXseqNLHYtL25yTcNlkDi+Yd3x5MkpBOvdTRY59kwvSmrg9fVW2x/QtE6iDNHkJYSYK4QwG72CHpncijOALKXUyiDOXQoMPZCbBdscvVVK+TXwFPA/0zTbq6I3NpKGHNEKwDTNCillp/QnSymjsJvJJ2IH+ZtM0/yghfNOB+7AHk4ugKdN0wx6KUZN21+RUQ6evj2NgQstlmRbnDnE4NjBDnhwHCf+o5i1u3yk1NZyQ0IZn/xtAIZz39/Gr5wbwX0LvdT4enHsnekkWD7i+sdyjs+irNwiKdH+KhdWKqY9WsXmIvuHeawbblyxhqQ8OwNY0u8n8BYJ9I2Fvx1lcORrx7Dl6U0YEQ4GXRl81rKhSaLN95rWVZr3CSulHgear+nb2E6glxDCEagFO4AMWk+7fAXwdGsXE0Jc2Ojtl8B7QojHgCYJ8JVSL7dRpnrBBuHBwGXAPcAjUspXsYOYGcRnC7BHV9dn4JJSDgKCb/tq201AuWmag6SUg4HvpJSDTNOsaHZeLnCaaZrZgT7qH6SU35um+V0nlUPTWiWE4A9HOmg8VuPhL6pYvdsCYZAb6eGt9FgubxaAtxZb3PlFHQ4D7prlpnd80+NOp0FSYsO+p0xvfQAGKK8DMzKO2ZRTHuHi1k2x1Ar7eK3f4r+zIxj+u1H7lPetdX7Of9uHz4LZAwSfXuRucnxWf4NnToaPtlgc3Udw/gg9Els7ODq6ilIgpeRK4ALsZXUvAFa01B8shOgNHIXdHN2av7awr/kScArovCBsmuY27L7gP0kpjwMuBb6WUm41TXNs25/mOeBVKeXNgJBSTgT+BTwRzL2DcF6gPJimuUlKaQIn0WxKlWmaSxttl0op1wGZgA7C2iFRUdO0G6nGa7+vLvfhijBwug1Oebaa9QX2/rX5Fkuui9rnOlVexQ2f+fkxXzEwet+uqT4+e5pUWaSbWtEQLLfsab1s13xoB2CAz7YqFmZZTO/bNNBeNtrgstE6+GoH2f6Njr4WeE4IcQdQAlxiX0p8BNyhlNpbobwUeF8pVdzyZUAp1VnrKgAdSFvZyHzsQVl9gKODOP8fQAzwUeDPr7H7iR/Yj3u3pEktG8gKlK1VgRScU9H5q7VD6MYTPby2tIbcUoXLAfPOi+GjR7az7L18ImMcnP+nIWwuanjgbCxsud/1nkV+nl5lH1um4OzRTpbs8BEfKbj5aBenxA5my/x44gfEsLxI8GWWwmnAdeNaf5g1P9JCC7mmHRL7s56wUmo99rK6zfef3Ox9S7Xcdgkh0oHewE6lVNApK6FjuaPHAJcDF2FnIHgeuLq9z5mm6cdO53WblDLFNM3CjhRQSrmc1pc97NHK/rau1xN4F7i+rSlSUsq5BFKPpafvO19U0w6U22mw/C/JlFZZ1OTV8P27u1j+sd1CVlPh55sXd3Ht9AE8tNjLgPw9TB7o5Dcfuan5tgB/hZ8Lzklk5oxY8htPjBCCQdEWGb0VM4Y5OXuiG3CTOsSeOvWJpViWC+lR0L+NZROfOs3JOW/5qPPDqYMFU3p3LAqv2OXjX9/UkhYruPMED7GRus9Y6xyhtICDECIVu4l77/QnJYT4ApijlMoP5hrB5o5ejp2i8j1gDvCZaZodHpLd0QAc+MyEto5LKbOwm5X3tu/3xa5tt3RuGvYc53mmab7ezn3rO/vnzJmjF2c9TJT8UEj+h7tI/1kf4sclH5R7Omr9PHvzOmoq/E32R0Y7efBnEZz+yUqinl4FwAvHjuH1Y8YwOyefJ58tYoqM4leTDN7ZaJFfBRNifDz/pb0QxJvLakmOMThmeEN/rtMQTAsiicfPhjqova2h/3pLiWJzieKIXoLYiLYfghW1iuMfq6C4yv7aFFQoXrhI5/XROocSIdUs8zj2/ODBwHbsKUt/D+w/I5gLBFsTfgp4yTTNNnqRGkgpN9GwfGGrTNPsjHXs3sBuVjYDA7MmYXe8Ny9TMvA58JBpmk92wn21MJP/yS6W/fwbULD5n2uY/P5xpB7bs8vvW7izukkAdnsMMoZEM+qoBP72SgmTnvqp/ti53/3EYydLLEAoUApGphpsvc5FXiW8u9TLvM0N196Y6+eY4QdWvi+2W5zypp86PwxPhqVznPWB+HuzEnNFFYMHRjBrpp3ms6DCqg/AAOvz/S1eV9P2x/40R3ehGUBfpdTegcCbhRBX0LSLtE3BDsx6uIMFu7uD5x+IecCzUsrNgB+Ya5pmOYCU8i4g2zTNx4D/w06ufY2Ucm9f8H9M03zmIJZVC2HbHtnQ8NNRwfaH1x+UIJw+MIr4NDel+XYijpOuy2TLwiLevXsT2xPiGBITRXSxnZM6OzGGxLJqXE646LwkYmLs2mq0WzDADaeOi+C/X9dQVq1IjBacMNrd6n2D9dwai7pAHF1XBAt2KU4aKNi0uYb7HypAKfh2QSURboOjj4whM9HgxGFOPlnvQwi4empE2zfQtA4IpeZo7BZYD9B4Nk4kEFRTNOzfwKx2mabZbiatTrxXJXBOK8fuaLR9M3DzwSqX1v0kTEyi8MuGDFIJHUhecSAio51c/cBINi7dQ1JGBKl9PXz0900oYHNSIgWzJzF72XoqHYJ/HzeREsvBnhnpnDw7cp9rDU538vXvE1izy8+YPk56xHes6a7Op/Bb4HE3POiGJ+9NhQsuAwYl2sd2ZXtpnCdo5277R4RhCN6/MoZvt/pIjTYYnaFXdNI6UUjFYP4JvCGE+DN27bcf8EfgH0KI+o6fthZz6JIgLKVMN00zN7Ddag+Uzh2thZKhfxpPbX4NhfPzSJ3Zk8G3jO7U63vrLF55YBdb11YybEIs5/6iF4bDfqJEJ7gYf0IqAJZfEZPsoqLIi8uyKImL4rXjJrAsOZaqQIrLjzZalNYo4psNeLL8ip+e2cqulaU4JyeSdt0ARJA1h49X1XL98+XU+eDPZ0Vz1QwPALdOse+5tlAxZ6TB4CTBijzFUsODPzUCR0EtEW7B1MkN/b5Oh2DmYFeL99G0AxFiNeG9U22/wv6lurdwxzR63+ZiDl0ShIGN2NOYAHaxb/9wh1aZ0LSDZczD07rs2os/LWbVolIAln1VwqBR0chjEvn6i1IWzC+jZ4abiy9PJTLS4MJ5I3n85g0MKSphS1IiMXEOjhro4NNt9ldpQKIgtllLs1KKlW/vZsXb9m/bwq2V9Hj/S0YckwK3ntnu/Mo736mkxhvY/l8ll0yPxO0UOAzBbdMavqpmrmL6K3YfsTsjladO8zJ7hJO0VB10ta4XYn3CBzxnuN0gHMhuNRpYZZrm1iCvO7LRdqdObNa07srrbTrP1+dV7Nhey4vP2AP7t2+tJT7ewTkXppCSGcWvnhrDt5+W4I4QzDghkRol+Me3Xsrr4LpJDn7/SQ1ZJYpfTnczPqKOr86fz+5CPyQ1rORUszoHPv0E0uJ5sPc0npxfjeVxkOszyIgXvHphFMN7BPqVG4169rhEq3ODv9ih6vuI6yzI9kSQlhpSI1a1MBZKNWGlVNADsFrTZhCWUp4FvIZdY62TUp5lmuZH7V3UNM3GOTkzTdP8toVrH0UHRpBpWnd3xAnJrFlaRtamagaPiWbi0Qls2FDT5JyysoaRxDGxDk7+eUO/tAu4e5Zd/f3lO9U8vMjug/1gnZd3XVmUbykn2hBUxXjwuZ2kVhQwIn8dAEWrsrlnZRV+IL8OEIrCKsWN79fwyVV2M/L9F8Vy0yvl1Hjhz2dGY7RS45jeS2AIe91iQ9jvH3qvgneX1DAg3eAfVySQEBP6QdmyFL/+oI5PNvqY0d/Bo2dE4HKEzgNea9mhDsJCiNuCOU8p9bdgzmuvJvwH7EQbjwC/DGy3G4Sb+YCGpunG3gWSWtivaWHJE+3g1/8YhM9r4XTZQWrYCA8jRnlYu6aamFiD2SclBHWtxtN+KuqgOMYOzg5L0WN3EVPvHkW/O1/F8NdBUgyFpx8F79jnR/j8eB0OLENQ52/oKRrTx8lntyS2e+/BcYrI0iqqhAOP8lNbHMFTn9pzkwtLLX725yJeujWRPqld1dvVOV5Z5eOhxXb7++YiHxN7OfjFVN2kHuoOdRCmITFHWxTQKUG4P/Av0zQtKeV9wI3BXLSZff7FpJSxgF77TDss7Q3AAE6n4MZbMygu8hEb6yAiMrga5NWT3XyztRq/BUf2c3Dyxf1ZvrWI4tXF9Dk85eI9AAAgAElEQVSlDwMuGwFn/Qt+3AFDezE0JY7Liysov38lMzbupDTSzeNnTGLeKb06XP7r3qqiqsIP+KkE7v2qaW2+vFrx34+quPvSln57h47SmubvdU6e7uBQB2Gl1LGdeb32grDDNE0LwDRNr5Qy6EmHjRJ2eKSUG5sdTsNOnKFphz3DEKR0cFDTeePcjM1wkF2mmN7PQYRTcOTjRzQ9KS4Kpjdk6rh1jJ/PN9o9RfE1ddybv5WJvVvLCNu6yGZPjeRkB/2Hu1i0zlu/zxXalWAA5kxw8uxyL8t2WYxON7h6kq4Fawdfe18Vt5Sycft3ZLP3mKbZWpX7buxa8KM0XfrJwl5W8KsOllXTtEaGpTkYlhb8+Y5IR8O8BMAZvX+R8vFzoli0vYysPYq+CQb/PTeKKLfBg+9W8PaiajLTnPzilNBPUxkbIVh6nYeSakj0EPRULu3QOtQ14caEEK1mh1RKBZURsr1v4RKatn8vbfa+1XbvvQk7pJTrTdNcEkxhNE1r29p8i4o6xaReRoeDRkVyNOvvOhbx/hamO6oZc9f4Vs/11VosfSmLisI6xp+VQdqgmPpjMZEG2/+4b9/1DafHcMPpMfvsD2VCCJL2XR1SC2GhFITZNztkL+AqIOjUyG0GYdM0j+l4mfa5xhIppQM7wXUqjfqIWxo1rWlay/6zyMtvPrKbfC8d7+DZs4NPB1lWq5j6kp/tFSlwbAqPzzaY0cbKSP97YAs/flpAbK2XTd8WcPVrU4jYz5qzpnWmUJonrJTaJzukEOJ94F6CHJi1X/MIpJRCSnmKlPK9IM6dAGwB1gLfBF5fY69mpGlakB5Y7Kvffm6Fn7IODCT6sRC2lzW8f39L65+9c5GfC61M/nLiZN4b1Z/qUh8VBbX7VWZN62xKiCavEPQTEHTWnw79tA2koLwKuBLoCbS5HGDAv4H/AXcAWUAf7HybCzpyb0073A1KFmwtsYNnegxEd2BthqGJkOyBomr7/REZrT+85i1T+Bz27/MFAzM4k1ISe3dem625qY7qWsURI9w4QqhWo3UPoRR4G+eHDogGrsCOdUEJJmOWAE7CXuD+ZOxVIxKBiaZp/hjEPUYDs0zTrJVSCtM0K6SUtwArgZeDLaimHe6e/3kEt31WR3kd/PEYV4cCWEqUYMH5Dl5cZzEwXnDZqNY/63FCZWCgs1CKM/8yHMPZOQ++Rz6o4ImP7TnFx4xxc/81wc2L1rS9QikI0zQt896C7QAuDfYC7WXM+gN2zTcDO0nH2cDHwE4gL8h7eBttl0op04BSID3YQmqaBj1iBE+dtf/LAg5LFtx9ZPvp2t853eD0dyyqfHDjRIP+KZ2X4v3D7xsm536zuo7KGovoIOdGaxqEXBBunpbZAvKUUnXBXqC9mvBdQBFwRuN0lVLKoEsI/IA9ovoD7P7gF4AqYHVHLqJp2sExvbdB4S+7JjAOznCSXWQ/n3qnGERFhNQDVesGQiwIXw28p5T6XggxCzsTpCWEOEsp9VkwF2gvCF8SuMn7UsofgaeAl2hlXlQrrqJhANhvgb8DscDlHbiGpmn7qTi/jvXLy0nvG8mAEYd2/u5fLo3j6U+rqKpVXHp8lJ6bq3VYiAXhS7HHOIG9jvCtQBl2boyggrBQqv14KqUcDlwDXIzd8eygWe04nM2ZM0e98MILh7oYmtZhpcVe/vXbTVSW+RECLrm5L2Omxh/qYoUtv6X0YLOmOv0f4y+zlzQJWn/8bOoh+wcXQpQqpeKFENFANpCslPIJIUqUUu0nYifI0dGmaa4DfiOlvBU4F3uQ1gdSStM0zcnNz5dSHtF8XyvXXRTMeZqmtWz++jqyivycODqC1Lh9m5CzNlZRGViZSSlY90O5DsJdYOlui5mv+qjywrQMwaJLdArMrhJiNeEiIcQwYBSwNBCAPR25QIemKJmmWYvdp/uClHIEdjBuSTDTjxR2jVrTtP3w4sIabnmtAoCHPq/mi1sTiPU0DcQZ/T24Iw3qauz1UvoP27+pRku2e/kh2+Kc0U7SYvXXtrmLP/BT5RMgYHEOvLjGz8Wj9L9TVwixIPxv7HFPABcF/jwaWBfsBfY7BY5pmmuB37RyTA931LQu9tmahgQaO4st1uf4mTSg6VcvuYeb6+8ewI9LSsno52HsER2vBT+wsJZfv2VPK7rpfcGO22NJi9EBpjGrWa+eT68R12WsEArCSqkHhBAfAz6l1LbA7m20XkHdR3tTlFpNTr2XaZpBJanWNK1zTRrg4ouf7BmASdGCAWktB8beAzz0HtChFrIm/rOwYZZhTa3iCdPH7ce0HoRLaxTvbbLoFSuY2e/g/h4vqFIoBWnRB/dB/eRJDk543Y/XgjEpcOloXQ/pKqrzu5kPiFJqU7P3zVcNbFN7NeHGyakF8DBwXUduIKU0sNchvgo7W9ZO7OTW9+9dJlHTtI775fEe0uIMdhT6OUtGkBzTNQ/+PkkGW3MDbwSM6dl6AK71KY5+0cfqfPu3+7+Pd/DryQen1vzoSotffmmhFNx7jMFv5cELhMdmGtTcJKiss1dn0rpOiDVHH7D2FnBokpxaSnlf831B+D12Gq9/YOeQHgjcAnjYdwUKTdOCJITgvCmRXX6fdy+O5PjnBNuK/MyZ6Oa0oa0/NjYVq/oADPD2BuugBeHbF1j1zcK3L7AOahAGMIQgdv9zqWhBOqyCcCe5HDjFNM31gfdfSinnY2fe0kFY00JYRYWfp54p4thcL/ccH8fxx7adsDozXtAjGvIq7feT28hR3dlSPVBS07CthScdhDsuCbsG3NhWQCeN1bQQ99pbe/jetAdlPfVcEcOHRtAro/VAHBsh+PZiF0+s9NM7VnD9QayNvn6ag19/5cev4P5j9cAxrXs4GEF4BXAzTddWvAl7AQdN00JYeYW/flspqKhofxjHkGTBvOMO/trDY9ME35yv1zwOdyq8KsIdHh0dJ6VsMvIriNHRNwKfSSmvAbYDmUAkMLvDpdU0rV01XkWkq3OeVKefEs9P62ooL7eYLKMYPEh3emqHVihNUeoMHRkdvV9M01wtpRwCnAr0xh4d/aFpmmVtf1LTtI4oqlLMeqaGFTmKWQMN3p8TQcQBLkHYv18ED9/Xm8oqi8QEXcvUDr3Dqk94P0ZC70NK2dc0zSz02sGa1qUeWuJjRY7dcPX5FotXV/u5ZLyDW16r4M3vaxmW4eS5uXGktZDesi1ut4Hbree9aqHhsArCUkonIEzT9DbadxkwDvjWNM23g7jHVinl19grMP0vkPpS07RO5mmWrjjKDd9u8PLSIvsrtyrLx4OfV/GXs2MOQek0rXOEW3N0ez9vX6PRkoNSyj8AjwNHAi9JKa8M4h6DgUXAPUCOlPIR2cEFiTVNa98NU52cPdJBRqzgmklOzh7hoPnzKrweX9rhSImmr+6uvSAsgQ8avb8BuMo0TYm9rGG72bNM09xmmuafTNPsD5wDxABfSylX7WeZNU1rgcclePOCCHbf6uGx090YhuCoIS4uPTKSKDdM7OfkV7P3bwEHTQsVCtHk1d21N9Ii0TTNbKhfUzgeeD1w7B3sWnFHzAfisNNXHt3Bz7ZIShkFPANMBHzATaZpftDG+ZHAcqAq8GNC08KWEIJ7zo3hnnN1E7QWHg635uhKKeXeb68E1pimGchJgyDIecZSyjFSyvuxFz3+D7AQGLof5W3JTUC5aZqDgNOAJxuVuSV/BRZ30r017aCr9Sqe/7Ccf79cyvZsb/sf0LQwooRo8uru2gvC3wF/kVIOA64BPml0bCiQ094NpJTLgSVAT2AOkGma5h9M09y8f0Xex3nAYwCmaW4CTOCkVspyFHYf9QuddG9NO+geer2Mp9+r4J35Vdx4XzFVNXodFO3wEW5BuL2a7K3AR8CvgTXAfY2OXQQsCOIeTwEvmaa5Z79K2L6+wI5G77Owm7ubkFJGYy/A/DPsQNwmKeVcAmtCpqend0pBNa0zbN7ZUPstKbcoLrWIitRTiLTDg9X9424T7c0T3gYMl1ImmaZZ3OzwP4G69m5gmubDB1C+vTXpvq0c7tGBS80DHjZNc7eUst0gbJrm4wT6vOfMmdPmmsqadjDNmuxh3TY7EI8c4CI9RedJ1g4f4VD7bSyoPt0WAjBdWLNtfp8JbR2XUmZhp8IsCOzqC3zdwqlHAidLKe/ATpuZKKVcbZrmmM4sr6Z1tbNmRjM000VxmcXkkRE4HeH1UNK0tlhhMCK6sXDIQ/cGdn+1GajhTgIuaH5S42ArpTwGuFePjta6q5ED215SUNPCVbjVhMOhI2kekCCl3Iw9p3muaZrlAFLKu6SU1x7S0mmapmmdxhJNX91dt68Jm6ZZiZ0EpKVjd7Sy/xvsKVeapmlaN3K4zRPWNE1r1w2f+4m5z8uU533kVuhxjJoWLB2ENS0MvfmTn7nv1fHyah8V1RZKdV1g/CbL4qHlFpVe+D5HcfdiPW9Z6zqH2zxhTdO6mS+3+jnnDXv24BPL/YwqrmBcguK+G5NJTez86UzN43sXxntNC4t+4MZ0TVjTwsyq3KY10QqXg515ft78spKaSj9+f+dGyWMzDa4dZxDhgInpgtun6ceK1nX2ZwEHIcQQIcRiIcTGwJ8t5ooQQpwrhPhRCLEm8GdHclHsF/1t0bQwc+oQBwmR9rbDUiTX2Ik9Shfnc9f5q/n7ZWvI2VbVqfd89AQHNTe5MC91khErUEqxcbeP3BJ/p95H0ywhmryC9BjwsFJqCPAw8N/mJwghJPBnYJZSahR2bonSzil163QQ1rRu5utVtbyzqLrVnNFDUgxW/yKCN85xc+dwH4MTBEcPFJRtLAegco+Pr17N69Iy/v6ZMs77WzGn3VHEpz/UtP8BTQtSR4OwECINmAC8Etj1CjBBCJHa7NQbgXuVUrkASqlSpVSX/8+r+4Q1rRt56L0KnvrUrsW+uaCa529KxDD2fRD1iTfoEw+MjAPiyN9Zw38W5NT310Z4uu73d3aRn09/qAXAZ8ELX1ZxwsTILrufdnjZjz7hPsBupZQfQCnlF0JkB/YXNDpvBLBNCPEt9rr3bwN/VV05qhFdE9a0bmX+j7X12z/t8FFYFtxI5LQ+kZxydW+Se0YweEIsJ1ya0VVFJDZKEB3Z8KRM74LBYNrhy0I0eQkh5gohzEavuft5aScwBpgFzMBejW9OZ5W7rZtqmtZNjO3vYnO23c/aJ9VBYmzwv6OPOC2VI05r3gLX+WI9Bv++Np5nPq0iMdbgd2e3tby3pnVM82lJSqn6xXZasRPoJYRwBGrBDiAjsL+xHcCbSqlaoFYI8S4wGXi+0wrfAh2ENa0bufW8WAb0dLKn0uLnR3pwhejiDXKwGzlY57fWOl9Hm6OVUvlCiJXYawq8GPhzhVKqoNmpLwMnCyFewI6NxwFvHnCB26GDsKZ1Iy6H4MJjozr1mjVVfgwD3JG62VgLffuZtvJa4DkhxB1ACXAJgBDiI+AOpZQJvIqdzngtYAGfAk91RpnbooOwph3GFr6bz0dP78YwBD+/MZOxRyce6iJpWpv2ZylDpdR6YEoL+09utG0Bvw28Dho9MEvTwoTfUvzu4zqm/beGe+Z72z/fr/j4md0oC/w+xSfP7D4IpdS0A+MXTV/dna4Ja1qYeOx7H/ct9AGwZKfFmHSDU4a23sRsGBDhcVBdYQ/0iozWzdFa6NOrKGmaFpJyyptOZ8wtb3t6oxCCC3/fn579PfQZGsU5v83syuLtt3sW+5n4rJdrP/VT69OJqQ93ej1hTdMOml2lCrcD0mLaf9pcLZ08t8LPrjLF6B6Cn49qv2Y7cEwsNzwwrDOK2iU+32Zx27f2XOjleRYDEuCWKbrGfjjbnz7hUKaDsKaFqDu+8vKXb304BDzxMxeXj2/765qZaLDhN5HsKlP0SxC4nfs+rMprFB9v8NInwWBaZuh//Quqm77Przw05dBCh183R2ua1tVqfYq7v7X7d/0K/vyNL6jPRbkFQ1KMFgNwjVdx1KMVnPdSNUc8XMkTS+s6tcz7w+tX3LPUYu5nfr7P2bep+fRBgik97b9L71i4boJ+ZGnhJfR/CmvaYchlQJIHigI1wR7RB37N9QUWq3Ia0ly+uqqOq6cc2oQaf1pkcc9SO/i+ut7Ppisd9Ihu+AER7RYsvNjBznJIj4bIFn5caIeXcOgHbkz/rNS0EGQYgvcvdHNUX4MTBhq8dPaBB8vMBIOkqIYn2ISMQ9+3urpRzqLyOtjWwsJxDkPQL17oAKwB4Ec0eXV3uiasaSFqWh8H317ReYEyMUrwzTXRPL60jj4JBjcedejTSl40XPDxNoWlYEwqjO361NZaNxcOc4Mb00FY0w4jo3s6ePAMz6EuRr0LhhsMTxZsL1UclynwuMLsCat1unCbJ6yDsKZph9S4NMG4tPB6sGpdJ9xGR+sgrGmapnUbwc0T6D50ENY0TdO6DV0T1jRN07RDxBdeMVhPUdI07cA9+30txzxczvVvVVHj1fmdta7jQzR5dXe6JqxpYai0RhEfeXAeUCt3+7jitSqUgvlbfCRHCe46KXRGYGvhxdv9424TuiasaWGkpFox4Yk6EubVMfXpOspru75Wml2qUI1us6vUav1kTTtAXiGavLo7HYQ1LYw8ucLPilw7Ii7drXh+ddcHxJmDnUzrZycVSfAIrp8e0eX31A5f3mav7k43R2taGIlxN60ZxB6EpFiRLsH862PZkG/RK16QGKV/22tdpyoMar+NdfsgLKWMAp4BJmJPIbvJNM0PWjl3HPAAkBLY9TvTND8+KAXVtIPgqvEGy7INvt5hccIAg4tGH5yA6HIIRvU89LmotfBXHV4xuPsHYeAmoNw0zUFSysHAd1LKQaZpVjQ+SUoZDbwNXGia5hIppROIPwTl1bQu43IInv6Z61AXQ9O6TF0YjIhuLBzajc4DHgMwTXMTYAIntXDehcAC0zSXBM71maZZdNBKqWmaph040ezVzYVDTbgvsKPR+yygTwvnjQC8UsqPgAzgB+ym65KuL6KmaZqm7Svkg7CUcjl2oG1Jjw5cygkcB0wD8oD7gH8BV7Ry37nAXID09PQO3EbTNE3rMnpg1sFlmuaEto5LKbOATGDv8uB9ga9bOHUH8JVpmjmBz70MPN3GfR8HHgeYM2eOTgGkaZqmdbpw6BN+A7gGIDAwaxLwSQvnvQ5MllLGBt6fCKw6KCXUtDC3s0zx3+V+vsvSiTq0LiZE01c3F/I14SDMA56VUm4G/MBc0zTLAaSUdwHZpmk+ZppmlpTyn8BiKaUFbCPQ3Kxp2v7Lq1BMesZLXqU9Tua1M52cMzwcft9rIan7x90mun0QNk2zEjinlWN3NHv/PPD8wSiXph0uvs9R5FXa2wr4cLOlg3AYyKtUbCyBcWkQ6w6lyBdKZTlw3T4Ia5p2aI1JE8S4oaLOfn9E7/B6SB6OVuUrZrzmp7QWBiXAkoscJHtC5L9riBSjs+ggrGnaAcmMF3w3x8kb6yxGpQouGKkzZ3V3z/1kUVprb2/eAx9tVcwZGSLRL0SK0Vl0ENY07YCN62Ewrodugg4XgxIEdueCbWBCKEW+UCrLgdNBWNM0TWvi2nGCklqDZbmKswYLjugVQoEvhIrSGXQQ1jRN05owhOD2qaEa7UK1XPtHB2FN0zSt+wivGKyDsKZpoee9D0tZt6GGsaM9nDgr7lAXRwslOghrmqZ1ne8WVvDy6/a6KitWVZOW6mTCuKhDXCotdIRXFNZBWNO0kJJf6Gv6vsDXypnaYSm8YnBY5I7WNC2MHDktmvg4+9GUkuxgyiRdC9Ya0bmjNU3Tuk6PNBf/+nsvcnK89OrlJsqj6wpa+NJBWNO0kBMT7WDwIJ15Swt/OghrmqZp3Uf3b4FuQgdhTdM0rRsJryisg7CmaZrWfYRXDNZBWNM0TetGdBDWNE3TtEMlvKKwDsKapmla9xFeMVgn69A0TdO0Q0XXhDVN07TuI8xqwjoIa5qmad1HGKSqbEw3R2uapmlhTQgxRAixWAixMfDn4BbO+bMQIl8IsTLwevhglE0HYU3TNK37EM1ewXkMeFgpNQR4GPhvK+c9r5QaF3hdf6BFDYYOwpqmaVo30rEoLIRIAyYArwR2vQJMEEKkdlUJO0IHYU3TNK37aBaDhRBzhRBmo9fcZp/oA+xWSvkBAn9mB/Y3d74QYrUQ4jMhxLSu/GvspQdmaZqmad2WUupx4PFOuNRjwF+VUl4hxCzgXSHEcKVUUSdcu1W6JqxpmqZ1Hx3vE94J9BJCOAACf2YE9tdTSuUqpbyB7c8Dx0d1WrlboYOwpmlho9qruHd+LX/5oobiKutQF0cLAUqpfGAlcEFg1wXACqVUQePzhBC9Gm2PA/oBG7q6fLo5WtO0sDHn1Sre+tEHwLs/+TB/HXOIS6R1uv2bJ3wt8JwQ4g6gBLjEvpT4CLhDKWUCfxNCTAT8QB0wRymV2zmFbp0OwpqmhY2F2/312z/s9lPrU0Q4wyu5g9ZxSqn1wJQW9p/caPvSg1qoAN0crWla2DhteEO9YtZgpw7A4Wj/5gmHrG5fE5ZSRgHPABMBH3CTaZoftHCeAdwPHA9YwG7gCtM0sw9icTVN60KPneVh5iAnNT44f6zrUBdH09oVDjXhm4By0zQHAacBT0opW+oI+hl2c8RY0zRHA2uBPxy8Ymqa1tUMQ3D+ODeXSTeRrjCoJmn7CrOacDgE4fOw53dhmuYmwAROauE8BUQAkYFacSyw62AVUtM0TesM4RWFu31zNNAX2NHofRYtZ0J5HzgGyAWqgPXAQckNqmmapnWS7h93mwj5ICylXI4daFvSowOXmgAMB3oBFcC/gfuAX7Zy37nAXID09PQO3EbTNE3TghPyQdg0zQltHZdSZgGZwN6J132Br1s49TLgK9M0SwOfexF4uo371qdCmzNnjupwwTVN07TOF2Y14XDoE34DuAZASjkYmAR80sJ524DjpJR7h0yeDKw5KCXUNE3TtBaEfE04CPOAZ6WUm7Ezncw1TbMcQEp5F5BtmuZj2GtIjgRWSyl92H3HzVfb0DRN00JZmNWEu30QNk2zEjinlWN3NNqu4f/bu/9Yq+s6juNPQDEnWg3QFBUExVWKKS9zNBVbiDZqqVnpXEaZjTZR7Ic20lCsqcWUWDhBiDRJXOZkqIto5ox+zN6iydQiBUJRFBg/AsuG3P74fC4dLvd4vxcv5/s9974e2xk75/s93/P6nvG57/P5/vh84CuNymVmZtaRpi/CZmbWg+zd2NGV5SJsZmbNo3vVYHq1tPjC345IWs/u9yI32gBgQ4mfX0QzZATn7ErNkBGcs6t1JueGiDh3X4Zpei0tLX5U/DFy5MgoO0N3yOicPS+jc/bcnM3y6A63KJmZmTUlF2EzM7OSuAg3h9llByigGTKCc3alZsgIztnVmiVnU/CFWWZmZiVxT9jMzKwkvk+4IiQNB+4G+gMbgUvz/Mi161wPXATsyI/JEbG4Shlr1j0eeBq4IyK+1aiM+bML5ZT0eeB60p2HLcCYiHi9SjklHQrMI03P2Rd4DLgyInY0KOM04LPAEODEiNhjvHVJfYAZwLmk7/GWiJjTiHydzFl2++kwY826ZbafQjnLbj/dhXvC1XEnMDMihpPGuZ7VzjpPAqdGxEmkITjvl3RgxTK2/lGeBTzUwGy1OswpScANwNkRcQJwOrClkSEp9n1OBl6IiBHAicBI4ILGReQh4Eze+T75S4BjgeOAUcANkobs+2i7KZKz7PZTJGMV2k+HOSvSfroFF+EKyL2dU4D78kv3AadIGli7XkQsjog389NnSb9A+1cpY/Yd4GFgRSOy1epEzquBaRGxDiAituTxxauWswU4WFJv4ABSb3hto3JGxNKIeLmD1b4A3BUROyNiPemPeLvjue8rRXKW2X7y5xf5LqHE9gOFc5bafroTF+FqOApYGxFvA+R/X82v13Mp8FJEvNKAfFAwo6QRwDnA7Q3K1VbR7/JDwFBJT0haJuk6SY0cEK9ozpuA4cBrwDpgcUT8oYE5izia3XtNa3jn/7tV0Oj2U0gF2k9RZbefbsNFuAlJGk3643xx2Vlq5bma7wImtBaXCtsPGAGcDYwGPgl8sdRE7fscqdd2ODAIOFPSheVGam5uP12iWdpP5bkIV8PLwKB8Lqj1nNAR+fXdSBoF3AucFxF/r1jGw4FhwKOSVgOTgMslNfK+wqLf5T+BByLirTz/9ELgoxXMORGYnw/1bsk5P97AnEWsAQbXPD+adv7vVkGJ7aeIKrSfospuP92Gi3AFRMQbwDP8/5f5xcDT+fzaLpJOBe4HLoyIZVXLGBFrImJARAyJiCHAdNK5wq9VKWf2C2CspF65B/IJ4K8VzLmKdNUxkvoCY4C6V9WW5JekYtE7n9M+D/hVyZn2UGb7KaIK7acTSm0/3YmLcHVMACZKWkHq/UwAkPRovhIR4A7gQGCWpGfy48SKZayCIjkXAG8Az5OK4XPA3ArmnAScIWl5zrmCdMiyISTNkPQKcCTwW0nPtZPx58BK4B/An4GpEbGyURk7kbPU9lMwY+kK5qxC++kWPGKWmZlZSdwTNjMzK4mLsJmZWUlchM3MzEriImxmZlYSF2EzM7OSuAibvUuSWiSd/i7ef7SkbZKOyM/HS3qx6xJ2Ksslkt7xfk9JOySdVXR9M6vPUxmaNZCk8cB1EXFs62sRsQboV1qoGhExH5i/t+tL+hmwIyK+2vXpzLof94TNzMxK4p6w9WiSrgAui4iTa147BngRGBYRq/PMNtOBk4FNwE+Bm9sbZF/SkcAc0ry/fUmTL0yKiKfyuMV3An0lbctv+RSwmjQ85VHtzeojaT/gGmA8cChpdKIrI+KpOvt0EjAD+DDQhzSK1RUR8VJe3gu4nDRK12DSPLC3RMTMtj11SQcDPwE+DfwL+F6bz9q1vqRrSHMLI+mivMpg4BXgY6y744UAAANuSURBVBHxdM37ngCWRMRN7e2DWU/hnrD1dPOBD0r6SM1r44HHcwF+L7AE+B3wAWAcaUL4b9TZXm/S8IiD8/rLgAcl7R8RfyINTbkyIvrlx+MFMk4FPkMaQ7o/6UfAYknvr7N+C2nC9UHAEGAbadKCVhPy8q8D7yP9uPhLnW1NB44jTV03Iufo096KEfFD0vd5d83+bSSNLb3r8LSk4cCovB9mPZp7wtajRcQmSQuBLwNX5V7il4Dv5lXGAf8Fvh8RLcALkm4lFeEftbO9NaRZhQCQdB1wJamQPd/ZfDnPRGBczXjMcyVNytnubfueiHi25ulbkm4Elks6KCK25+39ICKW5nU25Efbz+5N6tmOa528XdK1wPmd3I3ZwCJJ38wTv18G/Doi1nZyO2bdjouwGcwD7pX0beAMUu/wwbzsKGB1LsCtXqLOpPWSBgC3AWfl7ezMiwbuZbYBpIu2FkmqzbA/aYD99jIMI/1AOA04mNQzbt3WdlLveEWBzx4IHEA6XN5qVfHoSUQslbQWuFDSAtKPnCrODGTWcC7CZvAb4D+k87PnAwsi4t952cvAYEm9agrxUOrPl3szaV7Y0yLitXxOdSvQKy/fWed99WwgFc4xEVHvkHFbdwKvAiMiYqOkE4DlNRlWk3rmSzrYznrSUYAhpB8eAMd08J56+zeb1APeBrwNPNLBdsx6BJ8Tth4vInYC95AOG1/A7ucqHwHeA0yW1FfS8cC11J+27RDgTWCTpH7ArW2WrwMOlXRIwWwtwI+BaZKOA5DUT9I5rfcV18mwHdice+ZT2yyfmfdnVJ4DeECea7ftZ+8kzRt7o6TDcuabO4i8DhiaD2XXuoc06fsUYF57F7WZ9UQuwmbJPGA0sCoinmx9MSK2AGOBMcDrwGJSQbmtznamkK5g3ki6MvqPpJ5fq8dIPdBVkjZLGl0g2xRgIbBQ0lbSvL0TqN9+ryYdVt8K/B54uM3yO0jFdC7pyuhlwB5FOLuKdAj6b6Te9KI2+9PWHOAgYGPevz4AEbEZeAA4Cc87a7aL5xM2s4aQdAPpVqWxZWcxqwqfEzazfU7SYaR7k31BllkNH442s31K0m3ASmBRRPiCLLMaPhxtZmZWEveEzczMSuIibGZmVhIXYTMzs5K4CJuZmZXERdjMzKwkLsJmZmYl+R+qIYK3yX7uOAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# we pass display_features so we get text display values for sex\n",
    "shap.dependence_plot(\"volatile acidity\", shap_values, X_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "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, show=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Setting feature_perturbation = \"tree_path_dependent\" because no background data was given.\n"
     ]
    },
    {
     "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": [
    "# takes a couple minutes since SHAP interaction values take a factor of 2 * # features\n",
    "# more time than SHAP values to compute, since this is just an example we only explain\n",
    "# the first 2,000 people in order to run quicker\n",
    "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": 20,
   "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>4.50</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>5.35</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>6.26</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>5.93</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>6.33</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>4.51</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     4.50  \n",
       "34        9.2     5.35  \n",
       "1508     10.6     6.26  \n",
       "1479     10.6     5.93  \n",
       "866      11.3     6.33  \n",
       "1519     10.2     5.47  \n",
       "1193     10.8     4.51  "
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_output = X_test.copy()\n",
    "X_output.loc[:,'predict'] = np.round(model.predict(X_output),2)\n",
    "\n",
    "random_picks = np.arange(1,330,50)\n",
    "S = X_output.iloc[random_picks]\n",
    "S"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
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r={topAbort:null,topAnimationEnd:null,topAnimationIteration:null,topAnimationStart:null,topBlur:null,topCanPlay:null,topCanPlayThrough:null,topChange:null,topClick:null,topCompositionEnd:null,topCompositionStart:null,topCompositionUpdate:null,topContextMenu:null,topCopy:null,topCut:null,topDoubleClick:null,topDrag:null,topDragEnd:null,topDragEnter:null,topDragExit:null,topDragLeave:null,topDragOver:null,topDragStart:null,topDrop:null,topDurationChange:null,topEmptied:null,topEncrypted:null,topEnded:null,topError:null,topFocus:null,topInput:null,topInvalid:null,topKeyDown:null,topKeyPress:null,topKeyUp:null,topLoad:null,topLoadedData:null,topLoadedMetadata:null,topLoadStart:null,topMouseDown:null,topMouseMove:null,topMouseOut:null,topMouseOver:null,topMouseUp:null,topPaste:null,topPause:null,topPlay:null,topPlaying:null,topProgress:null,topRateChange:null,topReset:null,topScroll:null,topSeeked:null,topSeeking:null,topSelectionChange:null,topStalled:null,topSubmit:null,topSuspend:null,topTextInput:null,topTimeUpdate:null,topTouchCancel:null,topTouchEnd:null,topTouchMove:null,topTouchStart:null,topTransitionEnd:null,topVolumeChange:null,topWaiting:null,topWheel:null},i={topLevelTypes:r};t.exports=i},function(t,e,n){\"use 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RegExp(\"^(data|aria)-[\"+r.ATTRIBUTE_NAME_CHAR+\"]*$\")),Properties:{accept:0,acceptCharset:0,accessKey:0,action:0,allowFullScreen:o,allowTransparency:0,alt:0,as:0,async:o,autoComplete:0,autoPlay:o,capture:o,cellPadding:0,cellSpacing:0,charSet:0,challenge:0,checked:i|o,cite:0,classID:0,className:0,cols:u,colSpan:0,content:0,contentEditable:0,contextMenu:0,controls:o,controlsList:0,coords:0,crossOrigin:0,data:0,dateTime:0,default:o,defer:o,dir:0,disabled:o,download:c,draggable:0,encType:0,form:0,formAction:0,formEncType:0,formMethod:0,formNoValidate:o,formTarget:0,frameBorder:0,headers:0,height:0,hidden:o,high:0,href:0,hrefLang:0,htmlFor:0,httpEquiv:0,icon:0,id:0,inputMode:0,integrity:0,is:0,keyParams:0,keyType:0,kind:0,label:0,lang:0,list:0,loop:o,low:0,manifest:0,marginHeight:0,marginWidth:0,max:0,maxLength:0,media:0,mediaGroup:0,method:0,min:0,minLength:0,multiple:i|o,muted:i|o,name:0,nonce:0,noValidate:o,open:o,optimum:0,pattern:0,placeholder:0,playsInline:o,poster:0,preload:0,profile:0,radioGroup:0,readOnly:o,referrerPolicy:0,rel:0,required:o,reversed:o,role:0,rows:u,rowSpan:a,sandbox:0,scope:0,scoped:o,scrolling:0,seamless:o,selected:i|o,shape:0,size:u,sizes:0,span:u,spellCheck:0,src:0,srcDoc:0,srcLang:0,srcSet:0,start:a,step:0,style:0,summary:0,tabIndex:0,target:0,title:0,type:0,useMap:0,value:0,width:0,wmode:0,wrap:0,about:0,datatype:0,inlist:0,prefix:0,property:0,resource:0,typeof:0,vocab:0,autoCapitalize:0,autoCorrect:0,autoSave:0,color:0,itemProp:0,itemScope:o,itemType:0,itemID:0,itemRef:0,results:0,security:0,unselectable:0},DOMAttributeNames:{acceptCharset:\"accept-charset\",className:\"class\",htmlFor:\"for\",httpEquiv:\"http-equiv\"},DOMPropertyNames:{},DOMMutationMethods:{value:function(t,e){if(null==e)return t.removeAttribute(\"value\");\"number\"!==t.type||!1===t.hasAttribute(\"value\")?t.setAttribute(\"value\",\"\"+e):t.validity&&!t.validity.badInput&&t.ownerDocument.activeElement!==t&&t.setAttribute(\"value\",\"\"+e)}}};t.exports=s},function(t,e,n){\"use strict\";(function(e){function r(t,e,n,r){var i=void 0===t[n];null!=e&&i&&(t[n]=o(e,!0))}var i=n(24),o=n(174),a=(n(85),n(96)),u=n(177);n(2);void 0!==e&&e.env;var c={instantiateChildren:function(t,e,n,i){if(null==t)return null;var o={};return u(t,r,o),o},updateChildren:function(t,e,n,r,u,c,s,l,f){if(e||t){var p,h;for(p in e)if(e.hasOwnProperty(p)){h=t&&t[p];var d=h&&h._currentElement,v=e[p];if(null!=h&&a(d,v))i.receiveComponent(h,v,u,l),e[p]=h;else{h&&(r[p]=i.getHostNode(h),i.unmountComponent(h,!1));var g=o(v,!0);e[p]=g;var m=i.mountComponent(g,u,c,s,l,f);n.push(m)}}for(p in t)!t.hasOwnProperty(p)||e&&e.hasOwnProperty(p)||(h=t[p],r[p]=i.getHostNode(h),i.unmountComponent(h,!1))}},unmountChildren:function(t,e){for(var n in t)if(t.hasOwnProperty(n)){var r=t[n];i.unmountComponent(r,e)}}};t.exports=c}).call(e,n(156))},function(t,e,n){\"use strict\";var r=n(82),i=n(364),o={processChildrenUpdates:i.dangerouslyProcessChildrenUpdates,replaceNodeWithMarkup:r.dangerouslyReplaceNodeWithMarkup};t.exports=o},function(t,e,n){\"use strict\";function r(t){}function i(t){return!(!t.prototype||!t.prototype.isReactComponent)}function o(t){return!(!t.prototype||!t.prototype.isPureReactComponent)}var a=n(1),u=n(3),c=n(26),s=n(87),l=n(15),f=n(88),p=n(39),h=(n(9),n(168)),d=n(24),v=n(51),g=(n(0),n(81)),m=n(96),y=(n(2),{ImpureClass:0,PureClass:1,StatelessFunctional:2});r.prototype.render=function(){var t=p.get(this)._currentElement.type,e=t(this.props,this.context,this.updater);return e};var _=1,b={construct:function(t){this._currentElement=t,this._rootNodeID=0,this._compositeType=null,this._instance=null,this._hostParent=null,this._hostContainerInfo=null,this._updateBatchNumber=null,this._pendingElement=null,this._pendingStateQueue=null,this._pendingReplaceState=!1,this._pendingForceUpdate=!1,this._renderedNodeType=null,this._renderedComponent=null,this._context=null,this._mountOrder=0,this._topLevelWrapper=null,this._pendingCallbacks=null,this._calledComponentWillUnmount=!1},mountComponent:function(t,e,n,u){this._context=u,this._mountOrder=_++,this._hostParent=e,this._hostContainerInfo=n;var s,l=this._currentElement.props,f=this._processContext(u),h=this._currentElement.type,d=t.getUpdateQueue(),g=i(h),m=this._constructComponent(g,l,f,d);g||null!=m&&null!=m.render?o(h)?this._compositeType=y.PureClass:this._compositeType=y.ImpureClass:(s=m,null===m||!1===m||c.isValidElement(m)||a(\"105\",h.displayName||h.name||\"Component\"),m=new r(h),this._compositeType=y.StatelessFunctional);m.props=l,m.context=f,m.refs=v,m.updater=d,this._instance=m,p.set(m,this);var b=m.state;void 0===b&&(m.state=b=null),(\"object\"!=typeof b||Array.isArray(b))&&a(\"106\",this.getName()||\"ReactCompositeComponent\"),this._pendingStateQueue=null,this._pendingReplaceState=!1,this._pendingForceUpdate=!1;var x;return x=m.unstable_handleError?this.performInitialMountWithErrorHandling(s,e,n,t,u):this.performInitialMount(s,e,n,t,u),m.componentDidMount&&t.getReactMountReady().enqueue(m.componentDidMount,m),x},_constructComponent:function(t,e,n,r){return this._constructComponentWithoutOwner(t,e,n,r)},_constructComponentWithoutOwner:function(t,e,n,r){var i=this._currentElement.type;return t?new i(e,n,r):i(e,n,r)},performInitialMountWithErrorHandling:function(t,e,n,r,i){var o,a=r.checkpoint();try{o=this.performInitialMount(t,e,n,r,i)}catch(u){r.rollback(a),this._instance.unstable_handleError(u),this._pendingStateQueue&&(this._instance.state=this._processPendingState(this._instance.props,this._instance.context)),a=r.checkpoint(),this._renderedComponent.unmountComponent(!0),r.rollback(a),o=this.performInitialMount(t,e,n,r,i)}return o},performInitialMount:function(t,e,n,r,i){var o=this._instance,a=0;o.componentWillMount&&(o.componentWillMount(),this._pendingStateQueue&&(o.state=this._processPendingState(o.props,o.context))),void 0===t&&(t=this._renderValidatedComponent());var u=h.getType(t);this._renderedNodeType=u;var c=this._instantiateReactComponent(t,u!==h.EMPTY);this._renderedComponent=c;var s=d.mountComponent(c,r,e,n,this._processChildContext(i),a);return s},getHostNode:function(){return d.getHostNode(this._renderedComponent)},unmountComponent:function(t){if(this._renderedComponent){var e=this._instance;if(e.componentWillUnmount&&!e._calledComponentWillUnmount)if(e._calledComponentWillUnmount=!0,t){var n=this.getName()+\".componentWillUnmount()\";f.invokeGuardedCallback(n,e.componentWillUnmount.bind(e))}else e.componentWillUnmount();this._renderedComponent&&(d.unmountComponent(this._renderedComponent,t),this._renderedNodeType=null,this._renderedComponent=null,this._instance=null),this._pendingStateQueue=null,this._pendingReplaceState=!1,this._pendingForceUpdate=!1,this._pendingCallbacks=null,this._pendingElement=null,this._context=null,this._rootNodeID=0,this._topLevelWrapper=null,p.remove(e)}},_maskContext:function(t){var e=this._currentElement.type,n=e.contextTypes;if(!n)return v;var r={};for(var i in n)r[i]=t[i];return r},_processContext:function(t){var e=this._maskContext(t);return e},_processChildContext:function(t){var e,n=this._currentElement.type,r=this._instance;if(r.getChildContext&&(e=r.getChildContext()),e){\"object\"!=typeof n.childContextTypes&&a(\"107\",this.getName()||\"ReactCompositeComponent\");for(var i in e)i in n.childContextTypes||a(\"108\",this.getName()||\"ReactCompositeComponent\",i);return u({},t,e)}return t},_checkContextTypes:function(t,e,n){},receiveComponent:function(t,e,n){var r=this._currentElement,i=this._context;this._pendingElement=null,this.updateComponent(e,r,t,i,n)},performUpdateIfNecessary:function(t){null!=this._pendingElement?d.receiveComponent(this,this._pendingElement,t,this._context):null!==this._pendingStateQueue||this._pendingForceUpdate?this.updateComponent(t,this._currentElement,this._currentElement,this._context,this._context):this._updateBatchNumber=null},updateComponent:function(t,e,n,r,i){var o=this._instance;null==o&&a(\"136\",this.getName()||\"ReactCompositeComponent\");var u,c=!1;this._context===i?u=o.context:(u=this._processContext(i),c=!0);var s=e.props,l=n.props;e!==n&&(c=!0),c&&o.componentWillReceiveProps&&o.componentWillReceiveProps(l,u);var f=this._processPendingState(l,u),p=!0;this._pendingForceUpdate||(o.shouldComponentUpdate?p=o.shouldComponentUpdate(l,f,u):this._compositeType===y.PureClass&&(p=!g(s,l)||!g(o.state,f))),this._updateBatchNumber=null,p?(this._pendingForceUpdate=!1,this._performComponentUpdate(n,l,f,u,t,i)):(this._currentElement=n,this._context=i,o.props=l,o.state=f,o.context=u)},_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=u({},i?r[0]:n.state),a=i?1:0;a<r.length;a++){var c=r[a];u(o,\"function\"==typeof c?c.call(n,o,t,e):c)}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(m(r,i))d.receiveComponent(n,i,t,this._processChildContext(e));else{var a=d.getHostNode(n);d.unmountComponent(n,!1);var u=h.getType(i);this._renderedNodeType=u;var c=this._instantiateReactComponent(i,u!==h.EMPTY);this._renderedComponent=c;var s=d.mountComponent(c,t,this._hostParent,this._hostContainerInfo,this._processChildContext(e),o);this._replaceNodeWithMarkup(a,s,n)}},_replaceNodeWithMarkup:function(t,e,n){s.replaceNodeWithMarkup(t,e,n)},_renderValidatedComponentWithoutOwnerOrContext:function(){var t=this._instance;return t.render()},_renderValidatedComponent:function(){var t;if(this._compositeType!==y.StatelessFunctional){l.current=this;try{t=this._renderValidatedComponentWithoutOwnerOrContext()}finally{l.current=null}}else t=this._renderValidatedComponentWithoutOwnerOrContext();return null===t||!1===t||c.isValidElement(t)||a(\"109\",this.getName()||\"ReactCompositeComponent\"),t},attachRef:function(t,e){var n=this.getPublicInstance();null==n&&a(\"110\");var r=e.getPublicInstance();(n.refs===v?n.refs={}:n.refs)[t]=r},detachRef:function(t){delete this.getPublicInstance().refs[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===y.StatelessFunctional?null:t},_instantiateReactComponent:null};t.exports=b},function(t,e,n){\"use strict\";var r=n(4),i=n(372),o=n(167),a=n(24),u=n(12),c=n(385),s=n(401),l=n(171),f=n(408);n(2);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&&($[t._tag]&&(null!=e.children||null!=e.dangerouslySetInnerHTML)&&g(\"137\",t._tag,t._currentElement._owner?\" Check the render method of 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Y)Y.hasOwnProperty(n)&&t._wrapperState.listeners.push(M.trapBubbledEvent(n,Y[n],e));break;case\"source\":t._wrapperState.listeners=[M.trapBubbledEvent(\"topError\",\"error\",e)];break;case\"img\":t._wrapperState.listeners=[M.trapBubbledEvent(\"topError\",\"error\",e),M.trapBubbledEvent(\"topLoad\",\"load\",e)];break;case\"form\":t._wrapperState.listeners=[M.trapBubbledEvent(\"topReset\",\"reset\",e),M.trapBubbledEvent(\"topSubmit\",\"submit\",e)];break;case\"input\":case\"select\":case\"textarea\":t._wrapperState.listeners=[M.trapBubbledEvent(\"topInvalid\",\"invalid\",e)]}}function p(){P.postUpdateWrapper(this)}function h(t){Z.call(Q,t)||(X.test(t)||g(\"65\",t),Q[t]=!0)}function d(t,e){return t.indexOf(\"-\")>=0||null!=e.is}function v(t){var e=t.type;h(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 g=n(1),m=n(3),y=n(346),_=n(348),b=n(20),x=n(83),w=n(21),C=n(160),k=n(22),E=n(84),M=n(53),T=n(161),S=n(4),N=n(365),A=n(366),P=n(162),O=n(369),I=(n(9),n(378)),D=n(383),R=(n(11),n(56)),L=(n(0),n(95),n(81),n(173)),U=(n(97),n(2),T),F=k.deleteListener,j=S.getNodeFromInstance,B=M.listenTo,V=E.registrationNameModules,W={string:!0,number:!0},z=\"__html\",H={children:null,dangerouslySetInnerHTML:null,suppressContentEditableWarning:null},q=11,Y={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\"},K={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},G={listing:!0,pre:!0,textarea:!0},$=m({menuitem:!0},K),X=/^[a-zA-Z][a-zA-Z:_\\.\\-\\d]*$/,Q={},Z={}.hasOwnProperty,J=1;v.displayName=\"ReactDOMComponent\",v.Mixin={mountComponent:function(t,e,n,r){this._rootNodeID=J++,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(f,this);break;case\"input\":N.mountWrapper(this,o,e),o=N.getHostProps(this,o),t.getReactMountReady().enqueue(l,this),t.getReactMountReady().enqueue(f,this);break;case\"option\":A.mountWrapper(this,o,e),o=A.getHostProps(this,o);break;case\"select\":P.mountWrapper(this,o,e),o=P.getHostProps(this,o),t.getReactMountReady().enqueue(f,this);break;case\"textarea\":O.mountWrapper(this,o,e),o=O.getHostProps(this,o),t.getReactMountReady().enqueue(l,this),t.getReactMountReady().enqueue(f,this)}i(this,o);var a,p;null!=e?(a=e._namespaceURI,p=e._tag):n._tag&&(a=n._namespaceURI,p=n._tag),(null==a||a===x.svg&&\"foreignobject\"===p)&&(a=x.html),a===x.html&&(\"svg\"===this._tag?a=x.svg:\"math\"===this._tag&&(a=x.mathml)),this._namespaceURI=a;var h;if(t.useCreateElement){var d,v=n._ownerDocument;if(a===x.html)if(\"script\"===this._tag){var g=v.createElement(\"div\"),m=this._currentElement.type;g.innerHTML=\"<\"+m+\"></\"+m+\">\",d=g.removeChild(g.firstChild)}else d=o.is?v.createElement(this._currentElement.type,o.is):v.createElement(this._currentElement.type);else d=v.createElementNS(a,this._currentElement.type);S.precacheNode(this,d),this._flags|=U.hasCachedChildNodes,this._hostParent||C.setAttributeForRoot(d),this._updateDOMProperties(null,o,t);var _=b(d);this._createInitialChildren(t,o,r,_),h=_}else{var w=this._createOpenTagMarkupAndPutListeners(t,o),k=this._createContentMarkup(t,o,r);h=!k&&K[this._tag]?w+\"/>\":w+\">\"+k+\"</\"+this._currentElement.type+\">\"}switch(this._tag){case\"input\":t.getReactMountReady().enqueue(u,this),o.autoFocus&&t.getReactMountReady().enqueue(y.focusDOMComponent,this);break;case\"textarea\":t.getReactMountReady().enqueue(c,this),o.autoFocus&&t.getReactMountReady().enqueue(y.focusDOMComponent,this);break;case\"select\":case\"button\":o.autoFocus&&t.getReactMountReady().enqueue(y.focusDOMComponent,this);break;case\"option\":t.getReactMountReady().enqueue(s,this)}return h},_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(V.hasOwnProperty(r))i&&o(this,r,i,t);else{\"style\"===r&&(i&&(i=this._previousStyleCopy=m({},e.style)),i=_.createMarkupForStyles(i,this));var a=null;null!=this._tag&&d(this._tag,e)?H.hasOwnProperty(r)||(a=C.createMarkupForCustomAttribute(r,i)):a=C.createMarkupForProperty(r,i),a&&(n+=\" \"+a)}}return t.renderToStaticMarkup?n:(this._hostParent||(n+=\" \"+C.createMarkupForRoot()),n+=\" \"+C.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=W[typeof e.children]?e.children:null,a=null!=o?null:e.children;if(null!=o)r=R(o);else if(null!=a){var u=this.mountChildren(a,t,n);r=u.join(\"\")}}return G[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&&b.queueHTML(r,i.__html);else{var o=W[typeof e.children]?e.children:null,a=null!=o?null:e.children;if(null!=o)\"\"!==o&&b.queueText(r,o);else if(null!=a)for(var u=this.mountChildren(a,t,n),c=0;c<u.length;c++)b.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=N.getHostProps(this,o),a=N.getHostProps(this,a);break;case\"option\":o=A.getHostProps(this,o),a=A.getHostProps(this,a);break;case\"select\":o=P.getHostProps(this,o),a=P.getHostProps(this,a);break;case\"textarea\":o=O.getHostProps(this,o),a=O.getHostProps(this,a)}switch(i(this,a),this._updateDOMProperties(o,a,t),this._updateDOMChildren(o,a,t,r),this._tag){case\"input\":N.updateWrapper(this),L.updateValueIfChanged(this);break;case\"textarea\":O.updateWrapper(this);break;case\"select\":t.getReactMountReady().enqueue(p,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(\"style\"===r){var u=this._previousStyleCopy;for(i in u)u.hasOwnProperty(i)&&(a=a||{},a[i]=\"\");this._previousStyleCopy=null}else V.hasOwnProperty(r)?t[r]&&F(this,r):d(this._tag,t)?H.hasOwnProperty(r)||C.deleteValueForAttribute(j(this),r):(w.properties[r]||w.isCustomAttribute(r))&&C.deleteValueForProperty(j(this),r);for(r in e){var c=e[r],s=\"style\"===r?this._previousStyleCopy:null!=t?t[r]:void 0;if(e.hasOwnProperty(r)&&c!==s&&(null!=c||null!=s))if(\"style\"===r)if(c?c=this._previousStyleCopy=m({},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(V.hasOwnProperty(r))c?o(this,r,c,n):s&&F(this,r);else if(d(this._tag,e))H.hasOwnProperty(r)||C.setValueForAttribute(j(this),r,c);else if(w.properties[r]||w.isCustomAttribute(r)){var l=j(this);null!=c?C.setValueForProperty(l,r,c):C.deleteValueForProperty(l,r)}}a&&_.setValueForStyles(j(this),a,this)},_updateDOMChildren:function(t,e,n,r){var i=W[typeof t.children]?t.children:null,o=W[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 j(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\"input\":case\"textarea\":L.stopTracking(this);break;case\"html\":case\"head\":case\"body\":g(\"66\",this._tag)}this.unmountChildren(t),S.uncacheNode(this),k.deleteAllListeners(this),this._rootNodeID=0,this._domID=0,this._wrapperState=null},getPublicInstance:function(){return j(this)}},m(v.prototype,v.Mixin,I.Mixin),t.exports=v},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(97),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+\" 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c=u.querySelectorAll(\"input[name=\"+JSON.stringify(\"\"+i)+'][type=\"radio\"]'),p=0;p<c.length;p++){var h=c[p];if(h!==o&&h.form===o.form){var d=l.getInstanceFromNode(h);d||a(\"90\"),f.asap(r,d)}}}return n}var a=n(1),u=n(3),c=n(160),s=n(86),l=n(4),f=n(12),p=(n(0),n(2),{getHostProps:function(t,e){var n=s.getValue(e),r=s.getChecked(e);return u({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})},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:o.bind(t),controlled:i(e)}},updateWrapper:function(t){var e=t._currentElement.props,n=e.checked;null!=n&&c.setValueForProperty(l.getNodeFromInstance(t),\"checked\",n||!1);var r=l.getNodeFromInstance(t),i=s.getValue(e);if(null!=i)if(0===i&&\"\"===r.value)r.value=\"0\";else if(\"number\"===e.type){var o=parseFloat(r.value,10)||0;(i!=o||i==o&&r.value!=i)&&(r.value=\"\"+i)}else r.value!==\"\"+i&&(r.value=\"\"+i);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=l.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=p},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(162),c=(n(2),!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){a.getNodeFromInstance(t).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;return{start:o,end:o+r}}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(405),l=n(172),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(1),i=n(3),o=n(82),a=n(20),u=n(4),c=n(56),s=(n(0),n(97),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+\" \";if(this._domID=i,this._hostParent=e,t.useCreateElement){var s=n._ownerDocument,l=s.createComment(o),f=s.createComment(\" /react-text \"),p=a(s.createDocumentFragment());return a.queueChild(p,a(l)),this._stringText&&a.queueChild(p,a(s.createTextNode(this._stringText))),a.queueChild(p,a(f)),u.precacheNode(this,l),this._closingComment=f,p}var h=c(this._stringText);return t.renderToStaticMarkup?h:\"\\x3c!--\"+o+\"--\\x3e\"+h+\"\\x3c!-- /react-text --\\x3e\"},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),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(1),a=n(3),u=n(86),c=n(4),s=n(12),l=(n(0),n(2),{getHostProps:function(t,e){return null!=e.dangerouslySetInnerHTML&&o(\"91\"),a({},e,{value:void 0,defaultValue:void 0,children:\"\"+t._wrapperState.initialValue,onChange:t._wrapperState.onChange})},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\"),Array.isArray(c)&&(c.length<=1||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===t._wrapperState.initialValue&&(e.value=n)}});t.exports=l},function(t,e,n){\"use strict\";function r(t,e){\"_hostNode\"in t||c(\"33\"),\"_hostNode\"in e||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 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i=n(345),o=n(347),a=n(349),u=n(351),c=n(352),s=n(355),l=n(357),f=n(360),p=n(4),h=n(362),d=n(370),v=n(368),g=n(371),m=n(375),y=n(376),_=n(381),b=n(386),x=n(387),w=n(388),C=!1;t.exports={inject:r}},function(t,e,n){\"use strict\";var r=\"function\"==typeof Symbol&&Symbol.for&&Symbol.for(\"react.element\")||60103;t.exports=r},function(t,e,n){\"use strict\";function r(t){i.enqueueEvents(t),i.processEventQueue(!1)}var i=n(22),o={handleTopLevel:function(t,e,n,o){r(i.extractEvents(t,e,n,o))}};t.exports=o},function(t,e,n){\"use strict\";function r(t){for(;t._hostParent;)t=t._hostParent;var e=f.getNodeFromInstance(t),n=e.parentNode;return f.getClosestInstanceFromNode(n)}function i(t,e){this.topLevelType=t,this.nativeEvent=e,this.ancestors=[]}function o(t){var e=h(t.nativeEvent),n=f.getClosestInstanceFromNode(e),i=n;do{t.ancestors.push(i),i=i&&r(i)}while(i);for(var o=0;o<t.ancestors.length;o++)n=t.ancestors[o],v._handleTopLevel(t.topLevelType,n,t.nativeEvent,h(t.nativeEvent))}function 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   "execution_count": 22,
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    "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)"
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   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "fixed acidity            8.337373\n",
       "volatile acidity         0.530000\n",
       "citric acid              0.272181\n",
       "residual sugar           2.553167\n",
       "chlorides                0.087024\n",
       "free sulfur dioxide     16.032838\n",
       "total sulfur dioxide    47.114152\n",
       "density                  0.996757\n",
       "pH                       3.309828\n",
       "sulphates                0.659077\n",
       "alcohol                 10.413995\n",
       "dtype: float64"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_train.mean()"
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   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
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    "Y_test.mean()"
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   "execution_count": 25,
   "metadata": {},
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     "name": "stderr",
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     "text": [
      "Setting feature_perturbation = \"tree_path_dependent\" because no background data was given.\n"
     ]
    },
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       "  );\n",
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   "cell_type": "markdown",
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   "source": [
    "* Output value: is the prediction for that observation\n",
    "* Base value: The [original paper](http://papers.nips.cc/paper/7062-a-unified-approach-to-interpreting-model-predictions.pdf) explains that the base value E(y_hat) is \"the value that would be predicted if we did not know any features for the current output.\" In other words, it is the mean prediction, or mean(yhat). So the mean prediction of Y_test is 5.62.\n",
    "* Features: The above explanation shows features that contributes to push the final prediction away from the base value.\n",
    "* Red/blue: Those 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 positive impact on the quality rating. The alcohol of this wine is 11.8 which is higher than the average value 10.41. So it pushes the prediction to the right.\n",
    "* pH: has a negative impact on the quality rating. A lower than the average pH (=3.26 <3.30) drives the prediction to the right.\n",
    "* Sulphates: is positively related to the quality rating. A lower than the average Sulphates (= 0.64 < 0.65) pushes the prediction to the left."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
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       " <script>\n",
       "   if (window.SHAP) SHAP.ReactDom.render(\n",
       "    SHAP.React.createElement(SHAP.AdditiveForceVisualizer, {\"outNames\": [\"output value\"], \"baseValue\": 5.6531665363565295, \"outValue\": 5.348884181954554, \"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\": -0.044730180557435585, \"value\": 5.2}, \"1\": {\"effect\": 0.19732163714119264, \"value\": 0.32}, \"2\": {\"effect\": 0.0002294605555927263, \"value\": 0.25}, \"3\": {\"effect\": 0.027398332068024934, \"value\": 1.8}, \"4\": {\"effect\": 0.0006350731426025529, \"value\": 0.103}, \"5\": {\"effect\": 0.006421993639814241, \"value\": 13.0}, \"6\": {\"effect\": -0.008714637364551046, \"value\": 50.0}, \"7\": {\"effect\": -0.021389516553405253, \"value\": 0.9957}, \"8\": {\"effect\": 0.01996684892655747, \"value\": 3.38}, \"9\": {\"effect\": -0.17942184521582394, \"value\": 0.55}, \"10\": {\"effect\": -0.301999520184545, \"value\": 9.2}}, \"plot_cmap\": \"RdBu\", \"labelMargin\": 20}),\n",
       "    document.getElementById('i337QZKIM5VK7M3U01509')\n",
       "  );\n",
       "</script>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "shap_plot(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div id='i1XC790O6YEQ6LTS7ASYX'>\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\": [\"output value\"], \"baseValue\": 5.6531665363565295, \"outValue\": 6.257449826575947, \"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\": -0.011736772113004102, \"value\": 7.1}, \"1\": {\"effect\": 0.2900887515507945, \"value\": 0.27}, \"2\": {\"effect\": 1.3240311633222566e-05, \"value\": 0.6}, \"3\": {\"effect\": -0.010623796305438062, \"value\": 2.1}, \"4\": {\"effect\": 0.018102324413333384, \"value\": 0.07400000000000001}, \"5\": {\"effect\": -0.005743259310345662, \"value\": 17.0}, \"6\": {\"effect\": 0.06650045850369757, \"value\": 25.0}, \"7\": {\"effect\": -0.008487002801568534, \"value\": 0.99814}, \"8\": {\"effect\": -0.023633255616107303, \"value\": 3.38}, \"9\": {\"effect\": 0.2655421924443064, \"value\": 0.72}, \"10\": {\"effect\": 0.024260409142115535, \"value\": 10.6}}, \"plot_cmap\": \"RdBu\", \"labelMargin\": 20}),\n",
       "    document.getElementById('i1XC790O6YEQ6LTS7ASYX')\n",
       "  );\n",
       "</script>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "shap_plot(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div id='iQLGACSRAQQ0WPRF51GZZ'>\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\": [\"output value\"], \"baseValue\": 5.6531665363565295, \"outValue\": 5.9255063736678455, \"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\": -0.04490609389581582, \"value\": 8.2}, \"1\": {\"effect\": 0.24911165973509208, \"value\": 0.28}, \"2\": {\"effect\": 0.002944310349271427, \"value\": 0.6}, \"3\": {\"effect\": 0.025992497720656323, \"value\": 3.0}, \"4\": {\"effect\": -0.1514512282945085, \"value\": 0.104}, \"5\": {\"effect\": -0.006919548353268974, \"value\": 10.0}, \"6\": {\"effect\": 0.04916376538665221, \"value\": 22.0}, \"7\": {\"effect\": -0.0077444055782232395, \"value\": 0.99828}, \"8\": {\"effect\": -0.024384558842156522, \"value\": 3.39}, \"9\": {\"effect\": 0.18434901339374904, \"value\": 0.68}, \"10\": {\"effect\": -0.003815574310132375, \"value\": 10.6}}, \"plot_cmap\": \"RdBu\", \"labelMargin\": 20}),\n",
       "    document.getElementById('iQLGACSRAQQ0WPRF51GZZ')\n",
       "  );\n",
       "</script>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "shap_plot(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div id='iI0A5CVUE815MPKPEDBF8'>\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\": [\"output value\"], \"baseValue\": 5.6531665363565295, \"outValue\": 6.331250748146544, \"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\": -0.005043699825658649, \"value\": 6.8}, \"1\": {\"effect\": -0.05134533510305107, \"value\": 0.49}, \"2\": {\"effect\": -0.03707980559248092, \"value\": 0.22}, \"3\": {\"effect\": 0.004009072876020292, \"value\": 2.3}, \"4\": {\"effect\": 0.02405866402823308, \"value\": 0.071}, \"5\": {\"effect\": 0.0262179039807813, \"value\": 13.0}, \"6\": {\"effect\": 0.07535724611448417, \"value\": 24.0}, \"7\": {\"effect\": 0.030445445874085375, \"value\": 0.99438}, \"8\": {\"effect\": -0.016723126741718802, \"value\": 3.41}, \"9\": {\"effect\": 0.3098774868536915, \"value\": 0.83}, \"10\": {\"effect\": 0.31831035932562807, \"value\": 11.3}}, \"plot_cmap\": \"RdBu\", \"labelMargin\": 20}),\n",
       "    document.getElementById('iI0A5CVUE815MPKPEDBF8')\n",
       "  );\n",
       "</script>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "shap_plot(4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "fig = shap_plot(4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div id='iKGLW6KEI8R191QL02POT'>\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\": [\"output value\"], \"baseValue\": 5.6531665363565295, \"outValue\": 6.331250748146544, \"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\": -0.005043699825658649, \"value\": 6.8}, \"1\": {\"effect\": -0.05134533510305107, \"value\": 0.49}, \"2\": {\"effect\": -0.03707980559248092, \"value\": 0.22}, \"3\": {\"effect\": 0.004009072876020292, \"value\": 2.3}, \"4\": {\"effect\": 0.02405866402823308, \"value\": 0.071}, \"5\": {\"effect\": 0.0262179039807813, \"value\": 13.0}, \"6\": {\"effect\": 0.07535724611448417, \"value\": 24.0}, \"7\": {\"effect\": 0.030445445874085375, \"value\": 0.99438}, \"8\": {\"effect\": -0.016723126741718802, \"value\": 3.41}, \"9\": {\"effect\": 0.3098774868536915, \"value\": 0.83}, \"10\": {\"effect\": 0.31831035932562807, \"value\": 11.3}}, \"plot_cmap\": \"RdBu\", \"labelMargin\": 20}),\n",
       "    document.getElementById('iKGLW6KEI8R191QL02POT')\n",
       "  );\n",
       "</script>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fig"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The SHAP Works for Binary Target as Well"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Suppose the target is a binary variable\n",
    "df['quality_bin'] = np.where(df['quality'].astype(int)>6,1,0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.06068552 0.09181401 0.0426238  0.04684194 0.0637269  0.03552689\n",
      " 0.08485588 0.03511305 0.04465817 0.20089978 0.29325405]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Y = df['quality_bin']\n",
    "X =  df[['fixed acidity', 'volatile acidity', 'citric acid', 'residual sugar',\n",
    "       'chlorides', 'free sulfur dioxide', 'total sulfur dioxide', 'density',\n",
    "       'pH', 'sulphates', 'alcohol']]\n",
    "X_train, X_test, Y_train, Y_test = train_test_split(X, Y, test_size = 0.2)\n",
    "\n",
    "model = RandomForestRegressor(max_depth=6, random_state=0, n_estimators=10)\n",
    "model.fit(X_train, Y_train)  \n",
    "print(model.feature_importances_)\n",
    "\n",
    "importances = model.feature_importances_\n",
    "indices = np.argsort(importances)\n",
    "\n",
    "features = X_train.columns\n",
    "plt.title('Feature Importances')\n",
    "plt.barh(range(len(indices)), importances[indices], color='b', align='center')\n",
    "plt.yticks(range(len(indices)), [features[i] for i in indices])\n",
    "plt.xlabel('Relative Importance')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Setting feature_perturbation = \"tree_path_dependent\" because no background data was given.\n"
     ]
    }
   ],
   "source": [
    "import shap\n",
    "shap_values = shap.TreeExplainer(model).shap_values(X_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "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": "code",
   "execution_count": null,
   "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": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}