TitanicTests.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# CIU with Titanic data set and Random Forest model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook shows exampled of how to use CIU for explaining the probability of survival for the Titanic data set, with a Random Forest model. \n",
    "\n",
    "We start by importing all necessary libraries."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import accuracy_score, classification_report\n",
    "import ciu"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load and pre-process Titanic dataset. \n",
    "Read data and do some pre-processing: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = pd.read_csv(\"https://raw.githubusercontent.com/KaryFramling/py-ciu/master/ciu_tests/data/titanic.csv\")\n",
    "data = data.drop(data.columns[0], axis=1)\n",
    "unused = ['PassengerId','Cabin','Name','Ticket']\n",
    "for col in unused:\n",
    "    data = data.drop(col, axis=1)\n",
    "from sklearn.preprocessing import LabelEncoder\n",
    "data = data.dropna().apply(LabelEncoder().fit_transform)\n",
    "# Split the data into training and testing sets\n",
    "X = data.drop('Survived', axis=1)\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, data.Survived, test_size=0.2, random_state=42)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Train:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      ],
      "text/plain": [
       "RandomForestClassifier()"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.seed(26) # We want to always get the same Random Forest model here.\n",
    "model = RandomForestClassifier(n_estimators=100)\n",
    "model.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have a look at the accurary to at least get an idea about if the model makes sense:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy: 0.78\n",
      "\n",
      "Classification Report:\n",
      "              precision    recall  f1-score   support\n",
      "\n",
      "           0       0.78      0.84      0.81        80\n",
      "           1       0.77      0.70      0.73        63\n",
      "\n",
      "    accuracy                           0.78       143\n",
      "   macro avg       0.78      0.77      0.77       143\n",
      "weighted avg       0.78      0.78      0.77       143\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Make predictions on the training set\n",
    "y_pred = model.predict(X_test)\n",
    "# Evaluate the model\n",
    "accuracy = accuracy_score(y_test, y_pred)\n",
    "print(f'Accuracy: {accuracy:.2f}')\n",
    "# Print classification report\n",
    "print('\\nClassification Report:')\n",
    "print(classification_report(y_test, y_pred))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "78% is not the best possible but will be good enough for the moment. Then we create the instance to explain (the 8-year old boy used in te book https://ema.drwhy.ai)::"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "new_passenger = pd.DataFrame.from_dict({\"Pclass\" : [1], \"Sex\": [1], \"Age\": [8.0], \"SibSp\": [0], \"Parch\": [0], \"Fare\": [72.0], \"Embarked\": [1]})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's check out some basic things about the trained model and the instance:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The estimated probability of survival is 0.64.\n",
      "The mean probability of survival in the training set is 0.40.\n"
     ]
    }
   ],
   "source": [
    "surv_prob = model.predict_proba(new_passenger)\n",
    "print(f\"The estimated probability of survival is {surv_prob[0,1]:.2f}.\")\n",
    "titanic_train_probs = model.predict_proba(X_train)\n",
    "mean_surv_prob = np.mean(titanic_train_probs[:,1])\n",
    "print(f\"The mean probability of survival in the training set is {mean_surv_prob:.2f}.\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we want to make a distinction between numerical (floating point) features and integer/symbolic features, then we need to tell CIU what to use as integer/symbolic values using a \"category mapping\" dictionary. If the values are strings, then they are replaced with the corresponding index for passing to the model. If the values are integers, they are used as such as input values to the model. \n",
    "\n",
    "It is important to make this distinction between features also because the perturbation strategy used by CIU depends on it. If no mapping is provided, then all features will be perturbed using random float values within the given min-max range of each feature. \n",
    "\n",
    "*Remark*: This is not needed in \"R\" because ML models and (correctly implemented) XAI methods know how to use the \"factor\" type for this purpose. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "category_mapping = {\n",
    "    'Sex': ['female','male'],\n",
    "    'Pclass': list(range(max(data.Pclass))),\n",
    "    'SibSp': list(range(max(data.SibSp))),\n",
    "    'Parch': list(range(max(data.Parch))),\n",
    "    'Embarked': [\"Belfast\",\"Cherbourg\",\"Queenstown\",\"Southampton\"]\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Create CIU object and get explanation:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We use the mean probability of survival as the 'normalCU' value of Contextual influence for consistency with the SHAP example further down. Here we show a bar chart using Contextual Influence:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CI</th>\n",
       "      <th>CU</th>\n",
       "      <th>Cinfl</th>\n",
       "      <th>outname</th>\n",
       "      <th>outval</th>\n",
       "      <th>feature</th>\n",
       "      <th>ymin</th>\n",
       "      <th>ymax</th>\n",
       "      <th>inputs</th>\n",
       "      <th>invals</th>\n",
       "      <th>neutralCU</th>\n",
       "      <th>target_concept</th>\n",
       "      <th>target_inputs</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Pclass</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>-0.000000</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0.64</td>\n",
       "      <td>Pclass</td>\n",
       "      <td>0.64</td>\n",
       "      <td>0.640000</td>\n",
       "      <td>[0]</td>\n",
       "      <td>[1.0]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Sex</th>\n",
       "      <td>0.233333</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>-0.116667</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0.64</td>\n",
       "      <td>Sex</td>\n",
       "      <td>0.64</td>\n",
       "      <td>0.873333</td>\n",
       "      <td>[1]</td>\n",
       "      <td>[1.0]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Age</th>\n",
       "      <td>0.640000</td>\n",
       "      <td>0.906250</td>\n",
       "      <td>0.260000</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0.64</td>\n",
       "      <td>Age</td>\n",
       "      <td>0.06</td>\n",
       "      <td>0.700000</td>\n",
       "      <td>[2]</td>\n",
       "      <td>[8.0]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SibSp</th>\n",
       "      <td>0.230000</td>\n",
       "      <td>0.826087</td>\n",
       "      <td>0.075000</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0.64</td>\n",
       "      <td>SibSp</td>\n",
       "      <td>0.45</td>\n",
       "      <td>0.680000</td>\n",
       "      <td>[3]</td>\n",
       "      <td>[0.0]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Parch</th>\n",
       "      <td>0.160000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>-0.080000</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0.64</td>\n",
       "      <td>Parch</td>\n",
       "      <td>0.64</td>\n",
       "      <td>0.800000</td>\n",
       "      <td>[4]</td>\n",
       "      <td>[0.0]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Fare</th>\n",
       "      <td>0.210000</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.035000</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0.64</td>\n",
       "      <td>Fare</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.710000</td>\n",
       "      <td>[5]</td>\n",
       "      <td>[72.0]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Embarked</th>\n",
       "      <td>0.070000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.035000</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0.64</td>\n",
       "      <td>Embarked</td>\n",
       "      <td>0.57</td>\n",
       "      <td>0.640000</td>\n",
       "      <td>[6]</td>\n",
       "      <td>[1.0]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                CI        CU     Cinfl outname  outval   feature  ymin  \\\n",
       "Pclass    0.000000  0.000000 -0.000000     Yes    0.64    Pclass  0.64   \n",
       "Sex       0.233333  0.000000 -0.116667     Yes    0.64       Sex  0.64   \n",
       "Age       0.640000  0.906250  0.260000     Yes    0.64       Age  0.06   \n",
       "SibSp     0.230000  0.826087  0.075000     Yes    0.64     SibSp  0.45   \n",
       "Parch     0.160000  0.000000 -0.080000     Yes    0.64     Parch  0.64   \n",
       "Fare      0.210000  0.666667  0.035000     Yes    0.64      Fare  0.50   \n",
       "Embarked  0.070000  1.000000  0.035000     Yes    0.64  Embarked  0.57   \n",
       "\n",
       "              ymax inputs  invals  neutralCU target_concept target_inputs  \n",
       "Pclass    0.640000    [0]   [1.0]        0.5           None          None  \n",
       "Sex       0.873333    [1]   [1.0]        0.5           None          None  \n",
       "Age       0.700000    [2]   [8.0]        0.5           None          None  \n",
       "SibSp     0.680000    [3]   [0.0]        0.5           None          None  \n",
       "Parch     0.800000    [4]   [0.0]        0.5           None          None  \n",
       "Fare      0.710000    [5]  [72.0]        0.5           None          None  \n",
       "Embarked  0.640000    [6]   [1.0]        0.5           None          None  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CIU_titanic = ciu.CIU(model.predict_proba, ['No', 'Yes'], data=X_train, category_mapping=category_mapping)\n",
    "CIUres = CIU_titanic.explain(new_passenger, output_inds=1)\n",
    "display(CIUres)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x300 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CIU_titanic.plot_ciu(CIUres, figsize=(6,3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CIU_titanic.plot_ciu(CIUres, plot_mode='overlap', figsize=(6,3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CIU_titanic.plot_input_output(ind_input=2, output_inds=1, legend_location=0, illustrate_CIU=True, figsize=(6,3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is also possible to plot the output value as a function of categorical inputs, in which case we use bars instead of a line. In this case, ``ind_outputs``can only take one value, not a list of values. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CIU_titanic.plot_input_output(ind_input=4, output_inds=1, illustrate_CIU=True, legend_location=0, figsize=(6,3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This plot also works when the categorical values are strings:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CIU_titanic.plot_input_output(ind_input=6, output_inds=1, illustrate_CIU=True, legend_location=0, figsize=(6,3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is also possible to use \"Contextual influence\" values for producing a similar plot as is often used for LIME and Shapley values. Here, the ``neutralCU`` parameter of CIU determines what to use as the \"baseline/reference value\". The default value ``neutralCU=0.5`` signifies \"averagely good\" but it can be set to any value that makes sense for the application at hand. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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N64miyM+mfYro6Gh8/vnncHT8/5dcGDlyJPbt26ez3ldffYUZM2bgjz/+APBkBmny5Mm4dOkSunfvDgDIyspC+/btkZWVBW9vb+22YWFhCA4Oxj//+c8qa1i8eDGWLFlSaXlBQQHc3Nzq3SPRn+Xk5GDz5s24LHSyuE/SlokqdBev4rXXXoOXl5e5yyEiK6RUKuHu7l7j31DOINXC4MGDkZiYqL0tk8lw7NgxxMfH49q1a1AqlSgrK0NJSQmKi4vh7OwMAHBwcEBQUJB2uytXrqC8vBwBAQE646vVajRv3rzax4+Li8OcOXO0t5VKJeRyORQKBVxdXY3VptEIggA/Pz8oFArYYv629f7y8vLMXUKNsrOzoVKpDNrW1l8/9mfd2J/pFRYW1mo9BqRakMlk8Pf3196+ffs2IiMjERMTg2XLlqFZs2Y4ffo0pk6disePH2sDkpOTk85UXlFREezs7JCamgo7Ozudx3Bxcan28aVSKaRSaaXloihCo9HUtz2jq5g2tdT66svW+7MGGo3G4Ofe1l8/9mfd2J/p1TaYMSAZIDU1FRqNBqtWrdK+2ElJSTVu17NnT5SXl+P+/fsYOHCgqcskIiIiAxntCKn8/HxjDWXx/P39UVpaivXr1+PWrVvYtWsXPvnkkxq3CwgIwKRJk/Dqq6/im2++QWZmJs6fP4/4+Hh89913DVA5ERER1YZBAWn58uXYu3ev9vb48ePRvHlztGnTBpcvXzZacZaqe/fuWL16NZYvX46uXbti9+7diI+Pr9W227dvx6uvvoq5c+ciMDAQY8aMwYULF+Dj42PiqomIiKi2DApIn3zyCeRyOQDg6NGjOHr0KJKTkzFy5EjMmzfPqAWa244dO7B///5Ky9966y3cuXMHxcXFOHLkCF555RWIoggPDw8AT85+q2pWrUmTJliyZAkyMzPx+PFj3LlzB9988w26detm2kaIiIio1gw6Bunu3bvagHTo0CGMHz8ew4cPR9u2bRESEmLUAomIiIgamkEzSE2bNkV2djYA4MiRIwgLCwPw5Mjw8vJy41VHREREZAYGzSCNHTsWEydORIcOHZCbm4uRI0cCANLS0nROhyciIiKyRgYFpDVr1qBt27bIzs7GihUrtJ/hk5OTg9jYWKMWSERERNTQDApITZo0wdtvv11p+VtvvVXvgoiIiIjMzeAPity1axc2bdqEW7du4ezZs/D19cXatWvRrl07jB492pg1EpEZOKEEsLArHTihxNwlEFEjYVBASkxMxMKFC/Hmm29i2bJl2gOzPTw8sHbtWgYkIismlUphZ2+PgLJMc5dSJYnErspL7xARGZNBAWn9+vXYsmULxowZg4SEBO3yPn36VLnrjYish0wmwxuzZiEjI8MirwUllUohk8nMXQYR2TiDAlJmZiZ69uxZablUKjX4CttEZDnc3d3RrFkziwxIREQNwaDPQWrXrh0uXbpUafmRI0fQqVOn+tZEREREZFYGzSDNmTMHM2fORElJCURRxPnz5/Hll18iPj4eW7duNXaNRERERA3KoIA0bdo0ODk54e9//zuKi4sxceJEeHt746OPPsKLL75o7BqJqIEVFBQgLy/PInex8RgkImoIdQ5IZWVl+OKLLzBixAhMmjQJxcXFKCoqQqtWrUxRHxE1MJVKhT1796K8rMzcpVRJIrFDZGQEQxIRmVSdA5K9vT1mzJiBq1evAgCcnZ3h7Oxs9MKIyDzUajXKy8pwXWiHR3A0dzk6nFCCAE0m1Go1AxIRmZRBu9iCg4ORlpYGX19fY9dDRBbiERyhEiwshFjYB1cSke0yKCDFxsZi7ty5+O2339C7d+9K/5MLCgoySnFERERE5mBQQKo4EHv27NnaZYIgQBRFCIKg/WRtIiIiImtk8AdFEhEREdkqgwISjz0iIiIiW2ZQQNq5c+dT73/11VcNKsYYFi9ejP3791f5Sd/1lZKSgsGDB+Phw4fw8PAwypi3b99Gu3btkJaWhh49ehhlTCIiIqofgwLSf//3f+vcLi0tRXFxMRwcHODs7FzrgBQdHY3PPvus0vIRI0bgyJEjhpRGREREVG8GBaSHDx9WWnbjxg3ExMRg3rx5dRorPDwc27dv11kmlUoNKcukSktLzV0CERERNRCDLlZblQ4dOiAhIaHS7FJNpFIpPD09db6aNm0K4MmZcZs2bUJkZCScnZ3RqVMnnD17Fjdv3sSgQYMgk8kwYMAAKBSKSuNu2rQJcrkczs7OGD9+PAoKCrT3XbhwAcOGDUOLFi3g7u6O0NBQ/Oc//9HZXhAEJCYmYtSoUZDJZFi2bFmlxyguLsbIkSPx7LPPIj8/HwCwdetWdOrUCY6OjujYsSM2btyos8358+fRs2dPODo6ok+fPkhLS6vT80VERESmZ9AMUrWD2dvjzp07xhwSS5cuxerVq7F69WrMnz8fEydORPv27REXFwcfHx9MmTIFs2bNQnJysnabmzdvIikpCQcPHoRSqcTUqVMRGxuL3bt3AwAKCwsRFRWF9evXQxRFrFq1Cs899xxu3LgBV1dX7TiLFy9GQkIC1q5dC3t7e9y6dUt7X35+PiIiIuDi4oKjR4/C2dkZu3fvxsKFC/Hxxx+jZ8+eSEtLw/Tp0yGTyRAVFYWioiJERkZi2LBh+Pzzz5GZmVmrQKlWq6FWq7W3lUolgCchTiIxWsY1GkEQtN8tsb76svX+rIFEIjH4ubf114/9WTf213A11MSggHTgwAGd26IoIicnBx9//DGeffbZOo116NAhuLi46Cx777338N577wEAJk+ejPHjxwMA5s+fj/79++P999/HiBEjADw5Hmry5Mk625eUlGDnzp1o06YNAGD9+vWIiIjAqlWr4OnpiSFDhuisv3nzZnh4eODkyZOIjIzULp84caLO2BUB6e7du5gwYQI6dOiAL774Ag4ODgCARYsWYdWqVRg7diwAoF27dkhPT8emTZsQFRWFL774AhqNBtu2bYOjoyO6dOmC3377DTExMU99juLj47FkyZJKy/38/ODm5vbUbc3Jz8/P3CWYlK32l5OTY+4SaiSXy+Hl5VWvMWz19avA/qwb+zOdikmGmhgUkMaMGaNzWxAEtGzZEkOGDMGqVavqNNbgwYORmJios6xZs2ban//8qdytW7cGAHTr1k1nWUlJCZRKpTYs+Pj4aMMRAPTv3x8ajQYZGRnw9PTEvXv38Pe//x0pKSm4f/8+ysvLUVxcjKysLJ06+vTpU2XNw4YNQ3BwMPbu3Qs7OzsATy7wqVAoMHXqVEyfPl27bllZGdzd3QEAV69eRVBQEBwd///1rfr371/jcxQXF4c5c+ZobyuVSsjlcigUCp0ZL0shCAL8/PygUCggirZ3bQhb7y8vL8/cJdQoOzsbKpXKoG1t/fVjf9aN/ZleYWFhrdYzKCBpNBpDNquSTCaDv79/tfc3adJE+3PFtFhVy+pSU1RUFHJzc/HRRx/B19cXUqkU/fv3x+PHjyvVVpWIiAh8/fXXSE9P14a1oqIiAMCWLVsQEhKis35FiDKUVCqt8sB1URSN+loYS8W0qaXWV1+23p810Gg0Bj/3tv76sT/rxv5Mr7bBzKAdgB988AGKi4srLX/06BE++OADQ4Y0qqysLJ1joc6dOweJRILAwEAAwJkzZzB79mw899xz6NKlC6RSKf74449aj5+QkICoqCgMHToU6enpAJ7MZHl7e+PWrVvw9/fX+WrXrh0AoFOnTvj5559RUlKiUxsRERFZFoMC0pIlS7QzJn9WXFxc5bEyT6NWq3H37l2dr7qElao4OjoiKioKly9fxqlTpzB79myMHz8enp6eAJ6ccbdr1y5cvXoVP/30EyZNmgQnJ6c6PcbKlSsxadIkDBkyBNeuXQPw5HmJj4/HunXrcP36dVy5cgXbt2/H6tWrATw5pkkQBEyfPh3p6ek4fPgwVq5cWa9eiYiIyPgMCkgVF6XVd/nyZZ3jh2rjyJEj8PLy0vn6y1/+YkhZWv7+/hg7diyee+45DB8+HEFBQTqn22/btg0PHz5Er1698Morr2D27Nlo1apVnR9nzZo1GD9+PIYMGYLr169j2rRp2Lp1K7Zv345u3bohNDQUO3bs0M4gubi44ODBg7hy5Qp69uyJBQsWYPny5fXqlYiIiIxPEOtwlFTTpk0hCAIKCgrg5uamE5LKy8tRVFSEGTNmYMOGDSYplp5QKpVwd3dHampqpTMALYFEIoG/vz9u3rxps/vQbbm//Px8JCcn47LQCSqh6uPwzEUmqtBdvIoRI0bU+T9jFWz99WN/1o39mV5RURF69+6tzTLVqdNB2mvXroUoipgyZQqWLFmiPTsLABwcHNC2bdtanZVFREREZMnqFJCioqIAPPl8nwEDBuicTUZERERkKww6zT80NFT7c0lJSaXT4y35wwuJiIiIamLQQdrFxcWYNWsWWrVqBZlMhqZNm+p8EREREVkzgwLSvHnz8MMPPyAxMRFSqRRbt27FkiVL4O3tjZ07dxq7RiIiIqIGZdAutoMHD2Lnzp0YNGgQJk+ejIEDB8Lf3x++vr7YvXs3Jk2aZOw6iaiBOaEEsLArHTihpOaViIiMwKCAlJeXh/bt2wN4crxRxbWb/vKXv9R44VUismxSqRR29vYIKMs0dylVkkjsqrz0DhGRMRkUkNq3b4/MzEz4+PigY8eOSEpKQnBwMA4ePAgPDw8jl0hEDUkmk+GNWbOQkZFhkZ/DIpVKq71OIhGRsRgUkCZPnozLly8jNDQU7777Lp5//nl8/PHHKC0t1V5Wg4isl7u7O5o1a2aRAYmIqCEYFJDeeust7c9hYWG4du0aUlNT4e/vj6CgIKMVR0RERGQOBgWkPyspKYGvry98fX2NUQ8RERGR2Rl0mn95eTmWLl2KNm3awMXFBbdu3QIAvP/++9i2bZtRCyQiIiJqaAYFpGXLlmHHjh1YsWIFHBwctMu7du2KrVu3Gq04Imp4jx49QkpKCh49emTuUoiIzMaggLRz505s3rwZkyZNgp2dnXZ59+7dce3aNaMVR0QN79GjRzh58iQDEhE1agYFpN9//x3+/v6Vlms0GpSWlta7KCIiIiJzMiggde7cGadOnaq0/KuvvkLPnj3rXRQRERGRORl0FtvChQsRFRWF33//HRqNBt988w0yMjKwc+dOHDp0yNg1EhERETWoOs0g3bp1C6IoYvTo0Th48CCOHTsGmUyGhQsX4urVqzh48CCGDRtmqlqJiIiIGkSdZpA6dOiAnJwctGrVCgMHDkSzZs1w5coVtG7d2lT1ERERETW4Os0giaLupb2Tk5OhUqmMWpClGjRoEN58801zl0FEREQNwKCDtCvoByZLFx0dDUEQIAgCHBwc4O/vjw8++ABlZWXmLo2IiIgsSJ12sVWEC/1l1iQ8PBzbt2+HWq3G4cOHMXPmTDRp0gRxcXHmLo2IiIgsRJ13sUVHR2Ps2LEYO3YsSkpKMGPGDO3tii9LJpVK4enpCV9fX8TExCAsLAwHDhwAAJw5cwaDBg2Cs7MzmjZtihEjRuDhw4dVjrNr1y706dMHrq6u8PT0xMSJE3H//n3t/Q8fPsSkSZPQsmVLODk5oUOHDti+fTsA4PHjx5g1axa8vLzg6OgIX19fxMfHm755IiIiqpU6zSBFRUXp3H755ZeNWow5ODk5ITc3F5cuXcLQoUMxZcoUfPTRR7C3t8eJEydQXl5e5XalpaVYunQpAgMDcf/+fcyZMwfR0dE4fPgwgCfXpUtPT0dycjJatGiBmzdvaj+ZeN26dThw4ACSkpLg4+OD7OxsZGdnV1ujWq2GWq3W3lYqlQCezN5JJPXaS2oSFbOKllpffdl6f39mi/3Z+uvH/qwb+2u4GmpcT7S2A4nqITo6Gvn5+di/fz9EUcTx48cRGRmJN954A7///juysrJw+vTpKrcdNGgQevTogbVr11Z5/8WLF9G3b18UFhbCxcUFo0aNQosWLfDpp59WWnf27Nn49ddfcezYsVq9UIsXL8aSJUsqLS8oKICbm1uN2xPVRU5ODjZv3ozXXnsNXl5e5i6HiMiolEol3N3da/wbatAHRVqzQ4cOwcXFBaWlpdBoNJg4cSIWL16Mvn374oUXXqj1OKmpqVi8eDEuX76Mhw8fQqPRAACysrLQuXNnxMTEYNy4cfjPf/6D4cOHY8yYMRgwYACAJ0Ft2LBhCAwMRHh4OCIjIzF8+PBqHysuLg5z5szR3lYqlZDL5VAoFHB1dTXwmTAdQRDg5+cHhUJhdQfy14at95eXlwcAyM7OtsmzVG399WN/1o39mV5hYWGt1mt0AWnw4MFITEyEg4MDvL29YW//5ClwcnKq9RgqlQojRozAiBEjsHv3brRs2RJZWVkYMWIEHj9+DAAYOXIk/vd//xeHDx/G0aNHMXToUMycORMrV65Er169kJmZieTkZBw7dgzjx49HWFgYvvrqqyofTyqVQiqVVlouiqI2mFmSimlTS62vvmy9vz+zxf5s/fVjf9aN/ZlebYOZ7e3grIFMJoO/vz98fHy04QgAgoKCcPz48VqNce3aNeTm5iIhIQEDBw5Ex44ddQ7QrtCyZUtERUXh888/x9q1a7F582btfW5ubpgwYQK2bNmCvXv34uuvv9b+z52IiIjMq9HNIFUnLi4O3bp1Q2xsLGbMmAEHBwecOHECL7zwAlq0aKGzro+PDxwcHLB+/XrMmDEDv/zyC5YuXaqzzsKFC9G7d2906dIFarUahw4dQqdOnQAAq1evhpeXF3r27AmJRIJ9+/bB09MTHh4eDdUuERERPUWjm0GqTkBAAL7//ntcvnwZwcHB6N+/P/71r3/pzDJVaNmyJXbs2IF9+/ahc+fOSEhIwMqVK3XWcXBwQFxcHIKCgvDXv/4VdnZ22LNnDwDA1dUVK1asQJ8+fdC3b1/cvn0bhw8ftskzFoiIiKxRozqLzVZUHIGfmpoKFxcXc5dTiUQigb+/P27evGmz+9Btub/8/HwkJydj5MiRNjmraeuvH/uzbuzP9IqKitC7d+8az2LjlAURERGRHgYkIiIiIj0MSERERER6GJCIiIiI9DAgEREREelhQCIiHU5OTggNDa3Tp8sTEdkaBiQi0uHk5IRBgwYxIBFRo8aARERERKSHAYmIiIhIDwMSERERkR4GJCIiIiI9la/ESmTBVCoV1Gq1WWuQSCTIyclBXl6ezV4rqaCgwNxlEBGZFQMSWQ2VSoXvDh5EOa+vbHJHv/8ekc8/zzPZiKjRYkAiq6FWq1Euimh76hQcOcNhMiXu7rg9cCDUajUDEhE1WgxIZHUcCwrgnJdn7jKIiMiG8SBtIiIiIj0MSERERER6GJCIiIiI9DAgEREREelhQGpAKSkpEAQB+fn55i6FiIiInqJRB6To6GgIggBBEODg4AB/f3988MEHKCsrM3dpREREZEaN/jT/8PBwbN++HWq1GocPH8bMmTPRpEkTxMXF1Wmc8vJyCIIAiaRRZ04iIiKb0Oj/mkulUnh6esLX1xcxMTEICwvDgQMHsHr1anTr1g0ymQxyuRyxsbEoKirSbrdjxw54eHjgwIED6Ny5M6RSKbKysqBWqzF//nzI5XJIpVL4+/tj27ZtOo+ZmpqKPn36wNnZGQMGDEBGRkZDt01ERERP0ehnkPQ5OTkhNzcXEokE69atQ7t27XDr1i3ExsbinXfewcaNG7XrFhcXY/ny5di6dSuaN2+OVq1a4dVXX8XZs2exbt06dO/eHZmZmfjjjz90HmPBggVYtWoVWrZsiRkzZmDKlCk4c+ZMtTWp1Wqd648plUoAsNgZK0EQtN+NWZ8l9mrrbPE5N9Xvp6Vgf9aN/TVcDTVhQPo/oiji+PHj+J//+R+88cYbePPNN7X3tW3bFv/4xz8wY8YMnYBUWlqKjRs3onv37gCA69evIykpCUePHkVYWBgAoH379pUea9myZQgNDQUAvPvuu4iIiEBJSQkcHR2rrC0+Ph5LliyptNzPzw9ubm4G92xqfn5+Rh0vJyfHqOPR08nlcnh5eZm7DJMx9u+npWF/1o39mU7FJENNGn1AOnToEFxcXFBaWgqNRoOJEydi8eLFOHbsGOLj43Ht2jUolUqUlZWhpKQExcXFcHZ2BgA4ODggKChIO9alS5dgZ2enDT/V+fM2FX+A7t+/Dx8fnyrXj4uLw5w5c7S3lUol5HI5FAoFXF1dDe7dVARBgJ+fHxQKBUQjXlg2j5cXaVDZ2dlQqVTmLsPoTPX7aSnYn3Vjf6ZXWFhYq/UafUAaPHgwEhMT4eDgAG9vb9jb2+P27duIjIxETEwMli1bhmbNmuH06dOYOnUqHj9+rA1ITk5OOlN1tb2wZ5MmTbQ/V2yv0WiqXV8qlUIqlVZaLoriU7czl4ppU2PXZ4m92jpbfM5N9ftpKdifdWN/plfbYGZ7OzjrSCaTwd/fHz4+PrC3f5IXU1NTodFosGrVKvTr1w8BAQG4c+dOjWN169YNGo0GJ0+eNHXZREREZEKNPiBVxd/fH6WlpVi/fj1u3bqFXbt24ZNPPqlxu7Zt2yIqKgpTpkzB/v37kZmZiZSUFCQlJTVA1URERGQsDEhV6N69O1avXo3ly5eja9eu2L17N+Lj42u1bWJiIv72t78hNjYWHTt2xPTp023yOA4iIiJb1qiPQdqxY0e197311lt46623dJa98sor2p+jo6MRHR1daTtHR0esXr0aq1evrnTfoEGDKu377NGjh00eiEdERGTNOINEREREpIcBiYiIiEgPAxIRERGRHgYkIiIiIj2N+iBtsk4l7u7mLsGm8fklImJAIisilUphJwi4PXCguUuxefZ2dlV+ejsRUWPBgERWQyaTIeL556FWq81ah0QigVwuR3Z2ts1eCiAwMBAPHjywyf6IiGqDAYmsikwmg0wmM2sNEokEXl5eUKlUNhkgJBIJ3N3d8eDBA3OXQkRkNjxIm4iIiEgPAxIRERGRHgYkIiIiIj08Bom0VCqVUQ6AlkgkyMnJQV5ens0eo2Pr/RUUFJi7DCIis2JAIgBPwtF3Bw+inBfOJQBHv/8ekc8/DycnJ3OXQkRkFgxIBABQq9UoF0W0PXUKjpw9aNRK3N1xe+BAqNVqBiQiarQYkEiHY0EBnPPyzF0GERGRWfEgbSIiIiI9DEhEREREehiQiIiIiPQwIBERERHpYUAiIiIi0sOAZIAHDx4gJiYGPj4+kEql8PT0xIgRI3DmzBlzl0ZERERGwNP8DTBu3Dg8fvwYn332Gdq3b4979+7h+PHjyM3NNXdpREREZAScQaqj/Px8nDp1CsuXL8fgwYPh6+uL4OBgxMXFYdSoUdp1pk2bhpYtW8LNzQ1DhgzB5cuXATyZffL09MQ///lP7Zj//ve/4eDggOPHj5ulJyIiItLFGaQ6cnFxgYuLC/bv349+/fpBKpVWWueFF16Ak5MTkpOT4e7ujk2bNmHo0KG4fv06WrZsiU8//RRjxozB8OHDERgYiFdeeQWzZs3C0KFDq3xMtVqtc400pVIJABAEARKJcTKuscYh22KLvxeCIGi/sz/rw/6smyX0V1FDjeuJIi++VVdff/01pk+fjkePHqFXr14IDQ3Fiy++iKCgIJw+fRoRERG4f/++Tnjy9/fHO++8g9deew0AMHPmTBw7dgx9+vTBlStXcOHChSrDFgAsXrwYS5YsqbS8oKAAbm5uRukpJycHmzdvRsdDh/hJ2o1ccbNmuBYZiddeew1eXl7mLoeIyKiUSiXc3d1r/BvKGSQDjBs3DhERETh16hTOnTuH5ORkrFixAlu3boVKpUJRURGaN2+us82jR4+gUCi0t1euXImuXbti3759SE1NrTYcAUBcXBzmzJmjva1UKiGXy6FQKODq6mqUnvIYikhPdnY2VCqVucswOkEQ4OfnB4VCAVv8/yH7s27sz/QKCwtrtR4DkoEcHR0xbNgwDBs2DO+//z6mTZuGRYsWITY2Fl5eXkhJSam0jYeHh/ZnhUKBO3fuQKPR4Pbt2+jWrVu1jyWVSqsMUKIoQqPRGKMdo41DtsUWfy8qpvWN+f6xJOzPurE/06ttMGNAMpLOnTtj//796NWrF+7evQt7e3u0bdu2ynUfP36Ml19+GRMmTEBgYCCmTZuGK1euoFWrVg1bNBEREVXJ9o4AM7Hc3FwMGTIEn3/+OX7++WdkZmZi3759WLFiBUaPHo2wsDD0798fY8aMwffff4/bt2/j3//+NxYsWICLFy8CABYsWICCggKsW7cO8+fPR0BAAKZMmWLmzoiIiKgCZ5DqyMXFBSEhIVizZg0UCgVKS0shl8sxffp0vPfeexAEAYcPH8aCBQswefJk7Wn9f/3rX9G6dWukpKRg7dq1OHHihPbgsF27dqF79+5ITExETEyMmTskIiIiBqQ6kkqliI+PR3x8fLXruLq6Yt26dVi3bl2l++RyOUpLS3WWtW3bFgUFBUavlYiIiAzDXWxEREREehiQiIiIiPQwIBERERHpYUAiIiIi0sODtElHibu7uUsgM+PvABERAxL9H6lUCjtBwO2BA81dClkAezu7p17+hojI1jEgEQBAJpMh4vnnoVar6z2WRCKBXC5Hdna2zX5Uvq33FxgYiAcPHthkf0REtcGARFoymQwymaze40gkEnh5eUGlUtnkH9jG0J+7uzsePHhg7lKIiMyGB2kTERER6WFAIiIiItLDgERERESkhwGJiIiISA8DEhEREZEeBiQiIiIiPQxIRERERHr4OUhWSBRFAEBRUZGZK6maIAhQKpUoLCzU1mpL2J91Y3/Wjf1ZN0vor+JvZ02Pz4BkhQoLCwEAoaGhZq6EiIjIOhUWFsL9KdeeFERbjKg2TqPR4M6dO3B1dYUgCOYupxKlUqm9FIebm5u5yzE69mfd2J91Y3/WzRL6E0URhYWF8Pb2hkRS/ZFGnEGyQhKJBM8884y5y6iRm5ubTb7BK7A/68b+rBv7s27m7u9pM0cVeJA2ERERkR4GJCIiIiI9DEhkdFKpFIsWLYJUKjV3KSbB/qwb+7Nu7M+6WVN/PEibiIiISA9nkIiIiIj0MCARERER6WFAIiIiItLDgERERESkhwGJ6iwvLw+TJk2Cm5sbPDw8MHXq1BqvC7d582YMGjQIbm5uEAQB+fn5RhnXFAypo6SkBDNnzkTz5s3h4uKCcePG4d69ezrrCIJQ6WvPnj2mbAUAsGHDBrRt2xaOjo4ICQnB+fPnn7r+vn370LFjRzg6OqJbt244fPiwzv2iKGLhwoXw8vKCk5MTwsLCcOPGDVO2UCNj9xgdHV3ptQoPDzdlC09Vl/5+/fVXjBs3Dm3btoUgCFi7dm29xzQ1Y/e3ePHiSq9fx44dTdjB09Wlvy1btmDgwIFo2rQpmjZtirCwsErrW9p70Nj9Wcz7TySqo/DwcLF79+7iuXPnxFOnTon+/v7iSy+99NRt1qxZI8bHx4vx8fEiAPHhw4dGGdcUDKljxowZolwuF48fPy5evHhR7NevnzhgwACddQCI27dvF3NycrRfjx49MmUr4p49e0QHBwfx008/FX/99Vdx+vTpooeHh3jv3r0q1z9z5oxoZ2cnrlixQkxPTxf//ve/i02aNBGvXLmiXSchIUF0d3cX9+/fL16+fFkcNWqU2K5dO5P3Uh1T9BgVFSWGh4frvFZ5eXkN1ZKOuvZ3/vx58e233xa//PJL0dPTU1yzZk29xzQlU/S3aNEisUuXLjqv34MHD0zcSdXq2t/EiRPFDRs2iGlpaeLVq1fF6Oho0d3dXfztt9+061jSe9AU/VnK+48BieokPT1dBCBeuHBBuyw5OVkUBEH8/fffa9z+xIkTVQak+o5rLIbUkZ+fLzZp0kTct2+fdtnVq1dFAOLZs2e1ywCI3377rclqr0pwcLA4c+ZM7e3y8nLR29tbjI+Pr3L98ePHixERETrLQkJCxNdff10URVHUaDSip6en+OGHH2rvz8/PF6VSqfjll1+aoIOaGbtHUXzyD/To0aNNUm9d1bW/P/P19a0yQNRnTGMzRX+LFi0Su3fvbsQqDVff57qsrEx0dXUVP/vsM1EULe89aOz+RNFy3n/cxUZ1cvbsWXh4eKBPnz7aZWFhYZBIJPjpp58sbtyGqCM1NRWlpaUICwvTLuvYsSN8fHxw9uxZnXVnzpyJFi1aIDg4GJ9++ilEE34M2ePHj5GamqpTl0QiQVhYWKW6Kpw9e1ZnfQAYMWKEdv3MzEzcvXtXZx13d3eEhIRUO6YpmaLHCikpKWjVqhUCAwMRExOD3Nxc4zdQA0P6M8eYhjJlLTdu3IC3tzfat2+PSZMmISsrq77l1pkx+isuLkZpaSmaNWsGwLLeg6bor4IlvP8YkKhO7t69i1atWukss7e3R7NmzXD37l2LG7ch6rh79y4cHBzg4eGhs7x169Y623zwwQdISkrC0aNHMW7cOMTGxmL9+vVG76HCH3/8gfLycrRu3fqpdf3Z3bt3n7p+xfe6jGlKpugRAMLDw7Fz504cP34cy5cvx8mTJzFy5EiUl5cbv4mnMKQ/c4xpKFPVEhISgh07duDIkSNITExEZmYmBg4ciMLCwvqWXCfG6G/+/Pnw9vbWhhBLeg+aoj/Act5/9g36aGSx3n33XSxfvvyp61y9erWBqjE+S+jv/fff1/7cs2dPqFQqfPjhh5g9e7ZJH5fq7sUXX9T+3K1bNwQFBcHPzw8pKSkYOnSoGSuj2hg5cqT256CgIISEhMDX1xdJSUmYOnWqGSurm4SEBOzZswcpKSlwdHQ0dzlGV11/lvL+Y0AiAMDcuXMRHR391HXat28PT09P3L9/X2d5WVkZ8vLy4OnpafDjm2rcCqbsz9PTE48fP0Z+fr7OLNK9e/eeWntISAiWLl0KtVptkusStWjRAnZ2dpXOpntaXZ6enk9dv+L7vXv34OXlpbNOjx49jFh97Ziix6q0b98eLVq0wM2bNxv0H2hD+jPHmIZqqFo8PDwQEBCAmzdvGm3M2qhPfytXrkRCQgKOHTuGoKAg7XJLeg+aor+qmOv9x11sBABo2bIlOnbs+NQvBwcH9O/fH/n5+UhNTdVu+8MPP0Cj0SAkJMTgxzfVuBVM2V/v3r3RpEkTHD9+XLssIyMDWVlZ6N+/f7U1Xbp0CU2bNjXZRRsdHBzQu3dvnbo0Gg2OHz9ebV39+/fXWR8Ajh49ql2/Xbt28PT01FlHqVTip59+emqvpmKKHqvy22+/ITc3V+cPUkMwpD9zjGmohqqlqKgICoXCal6/FStWYOnSpThy5IjO8ZCAZb0HTdFfVcz1/uNZbFRn4eHhYs+ePcWffvpJPH36tNihQwed0+B/++03MTAwUPzpp5+0y3JycsS0tDRxy5YtIgDxxx9/FNPS0sTc3Nxaj9tQDOlvxowZoo+Pj/jDDz+IFy9eFPv37y/2799fe/+BAwfELVu2iFeuXBFv3Lghbty4UXR2dhYXLlxo0l727NkjSqVScceOHWJ6err42muviR4eHuLdu3dFURTFV155RXz33Xe16585c0a0t7cXV65cKV69elVctGhRlaf5e3h4iP/617/En3/+WRw9erTZT/M3Zo+FhYXi22+/LZ49e1bMzMwUjx07Jvbq1Uvs0KGDWFJSYvH9qdVqMS0tTUxLSxO9vLzEt99+W0xLSxNv3LhR6zGtvb+5c+eKKSkpYmZmpnjmzBkxLCxMbNGihXj//n2L7y8hIUF0cHAQv/rqK53T3AsLC3XWsZT3oLH7s6T3HwMS1Vlubq740ksviS4uLqKbm5s4efJknTdvZmamCEA8ceKEdtmiRYtEAJW+tm/fXutxG4oh/T169EiMjY0VmzZtKjo7O4v/9V//Jebk5GjvT05OFnv06CG6uLiIMplM7N69u/jJJ5+I5eXlJu9n/fr1oo+Pj+jg4CAGBweL586d094XGhoqRkVF6ayflJQkBgQEiA4ODmKXLl3E7777Tud+jUYjvv/++2Lr1q1FqVQqDh06VMzIyDB5H09jzB6Li4vF4cOHiy1bthSbNGki+vr6itOnTzdLeKhQl/4qfj/1v0JDQ2s9ZkMzdn8TJkwQvby8RAcHB7FNmzbihAkTxJs3bzZgR7rq0p+vr2+V/S1atEi7jqW9B43ZnyW9/wRRNOF5xkRERERWiMcgEREREelhQCIiIiLSw4BEREREpIcBiYiIiEgPAxIRERGRHgYkIiIiIj0MSERERER6GJCIiIzo9u3bEAQBly5dMncpRFQPDEhEREREehiQiIiIiPQwIBERGUFxcTGmTJmCrl27AgAGDBiAl156CQUFBWaujIgMwYBERGQE8+bNw48//oidO3cCALZs2YL09HTExsaauTIiMgQvVktEVE9FRUVo1qwZdu/ejb59+6Jdu3ZIS0vDH3/8geHDh+POnTvw9PQ0d5lEVAecQSIiqieFQoHS0lKEhIToLA8ODoYoirh+/bqZKiMiQzEgEREREelhQCIiqic/Pz80adIEFy5c0Fl+4cIFCIKAgIAAM1VGRIZiQCIiqicXFxdMnz4dcXFxSEtLAwCkp6djzpw5eOmll3j8EZEV4kHaRERGUFxcjJkzZ2Lfvn1QqVRwcnLCqFGjsGnTJri7u5u7PCKqIwYkIiIjun37tvYsth49epi7HCIyEHexEREREelhQCIiIiLSw11sRERERHo4g0RERESkhwGJiIiISA8DEhEREZEeBiQiIiIiPQxIRERERHoYkIiIiIj0MCARERER6WFAIiIiItLDgERERESk5/8Bxjwrhqt17nwAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 600x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CIU_titanic.plot_influence(CIUres, figsize=(6,3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For direct comparison with Shapley values, for instance, ``neutralCU`` should be set to the CU values that corresponds to the average output value. This can be done like this:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CIUres = CIU_titanic.explain(new_passenger, output_inds=1, neutralCU=mean_surv_prob)\n",
    "CIU_titanic.plot_influence(CIUres, figsize=(6,3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Shapley values / SHAP\n",
    "\n",
    "When trying to run this with Python version 3.12.1, we get the following error message: *RuntimeError: Cannot install on Python version 3.12.1; only versions >=3.8,<3.12 are supported.*. These SHAP calculations have therefore been commented away. \n",
    "\n",
    "Let's see what SHAP gives as a result. In the CIU plot we have used the same colors as LIME usually does but SHAP uses the opposite colors, which might sometimes be confusing. However, the negative or positive influences are clear from the direction of the bars. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# import shap\n",
    "# explainer = shap.Explainer(model, X_train)\n",
    "# shap_values = explainer(new_passenger)\n",
    "# shap.plots.bar(shap_values[0,:,1], order=np.argsort(shap_values[0,:,1].values)[::-1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However, when we check the base/reference values used by SHAP, we see that it's 0.45 rather than the 0.39 obtained from the mean predictions. There's no obvious explanation for this but it does affect the explanations. Let's print the values:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# print(shap_values.base_values) # SHAP uses these values as baseline for No/Yes survived outputs.\n",
    "# print(mean_surv_prob) # This is the ratio of \"Survived\" predicted by the model.\n",
    "# print(sum(y_train)/len(y_train)) # This is the true ratio of survival in the traning set. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since LIME was mentioned, let's see what LIME gives as explanation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Uncomment and execute this if LIME is not yet installed.\n",
    "#%pip install pandas scikit-learn lime"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we get an Explanation object and display it:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Library/Frameworks/Python.framework/Versions/3.12/lib/python3.12/site-packages/sklearn/base.py:465: UserWarning: X does not have valid feature names, but RandomForestClassifier was fitted with feature names\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[('0.00 < Sex <= 1.00', -0.4598760952068543),\n",
       " ('Age <= 27.00', 0.13898826871379183),\n",
       " ('0.00 < Pclass <= 1.00', 0.04008762870216891),\n",
       " ('34.00 < Fare <= 81.00', -0.018435773019426883),\n",
       " ('Parch <= 0.00', -0.015417849332024608),\n",
       " ('SibSp <= 0.00', 0.008076066166181017),\n",
       " ('Embarked <= 2.00', 0.0)]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from lime.lime_tabular import LimeTabularExplainer\n",
    "\n",
    "instance = new_passenger.iloc[0]\n",
    "explainer = LimeTabularExplainer(X_train.values, feature_names=X_train.columns, class_names=['Not Survived', 'Survived'], discretize_continuous=True)\n",
    "explanation = explainer.explain_instance(instance.values, model.predict_proba, num_features=len(X_train.columns))\n",
    "display(explanation.as_list())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "LIME's own plotting functions don't necessarily give very nice outputs here and are commented out. Apparently LIME has also started using red/green colors as per 22nov2023... "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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vYHr48CHy8vJQr149rfX16tXDtWvXim2nVCqLbKNUKsXtBeuKiynKo0eP8N133yEiIgKXL19Gz549sXbtWvTq1Qv6+vplOjZBEBAbG4vDhw9jwoQJAF7cOuDi4oK1a9eKcSUVbSNGjBD/3LhxY6xcuRLvvfceMjIyYGpqiuTkZLRp0wYuLi4AoFVsJicnw97eHu3bt4dMJkOjRo1KzDcjIwNRUVGIiIjAqVOn0KlTJ8yfPx99+/aFiUnhN2SEhYXh2bNnxfZXo0aNEvdXVqX5WVEqldDX14eFhUWhmOK+94ULF2LevHmVmisRERGV7JUpRl81q1atwrx58+Dh4YFbt27B2tq6zH3s378fpqamyMnJQX5+PgYPHoy5c+cCeHFm9OOPPy51X/Hx8Zg7dy4uXLiAJ0+eID8/H8CLQrN58+YYO3Ys+vXrh/Pnz6Nbt27w8fGBu7s7gBeTqbp27YqmTZuie/fu6NWrF7p161bsvn744QeMGjUKLVu2xIULF156ZrN+/fqlPo5X2YwZMxAcHCx+VqvV5freiYiIqPRemcv0tWvXhq6ubqHZzmlpaVAoFMW2UygUJbYp+G9Z+w0ICMCCBQugVCrRokUL+Pv748iRI2IRWBqdOnVCYmIibt68iWfPniEiIkI8s2hkZFTqfjIzM+Hl5QVzc3NERkbi999/x+7duwFAvOzfo0cP/Pnnn5g0aRJSUlLQpUsXfPbZZwCAtm3bIikpCQsWLMCzZ8/Qv39/fPTRR8Xur0+fPggNDYWenh6cnZ3x8ccfY+/evcjJySkyvrov05fmZ0WhUCA7O7vQzPySvncDAwOYm5trLURERFS1XpliVF9fH87OzoiNjRXX5efnIzY2Fm5ubsW2c3Nz02oDADExMWIbW1tbKBQKrRi1Wo0zZ86U2K+VlRVCQkJw48YNREdHQ19fH3379kWjRo0wffp0XL58+aXHZGJiAjs7OzRs2BB6etonoVu1alUo7+Jcu3YNjx49wqJFi+Dh4QEHB4cinzBQp04d+Pn54bvvvsPy5cuxceNGcZu5uTkGDBiAb7/9FlFRUfjxxx/x+PHjIvdXs2ZNBAUFISEhAWfPnoW1tTUCAgJgaWmJwMBAnDlzRis+LCwMiYmJxS7/ftRWRZXmZ8XZ2Rk1atTQirl+/TqSk5NL/N6JiIioer1Sl+mDg4Ph5+cHFxcXtGvXDsuXL0dmZib8/f3FmGHDhqF+/fribPBPP/0UHTp0wLJly+Dt7Y0dO3bg3LlzYiEmk8kQFBSEL774Avb29rC1tcWsWbNgZWUFHx+fUuXl7u4Od3d3rFixAnv27EF4eDiWLl2KhIQEODo6lutYZ8yYAUdHR4wbNw5jxoyBvr4+fv31V3z88cfixKMCDRs2hL6+PlatWoUxY8bg0qVLWLBggVbM7Nmz4ezsjBYtWuD58+fYv38/mjVrBuDFzHNLS0u0adMGOjo62LVrFxQKRaH7KYvSqlUrfPPNN1i8eDGio6MRHh6ODz74AD/88IM4iamil+mVSiWUSiVu3boF4MWEMTMzMzRs2BC1atUCAHTp0gX//e9/ERgYCODlPytyuRwjR45EcHAwatWqBXNzc0yYMAFubm5lmrVPREREVeuVKkYHDBiABw8eYPbs2VAqlWjdujWio6O1JqokJydDR+f/Tui6u7tj+/btCAkJwcyZM2Fvb489e/agZcuWYszUqVORmZmJgIAApKeno3379oiOjoahoWGZ8jM0NMTAgQMxcOBApKSkwNTUtNzH2qRJE/zyyy+YOXMm2rVrByMjI7i6umLQoEGFYuvUqYPw8HDMnDkTK1euRNu2bbF06VL07t1bjNHX18eMGTNw9+5dGBkZwcPDAzt27AAAmJmZYfHixbh58yZ0dXXx3nvv4eDBg1rj+DJ6enro1asXevXqhcePH1fqw/vXr1+vNXHogw8+AABs2bJFfGLA7du38fDhQzGmND8roaGh0NHRQb9+/fD8+XN4eXlpTRgjIiIi6ckEQRCkToLoVaRWqyGXy6FSqXj/KBFRFUhNTcXGjRtxQdYMmbLCT2upbCZCJpyEq+KtZ1R1yvI79JW5Z5SIiIiI3j4sRomIiIhIMixGiYiIiEgyLEaJiIiISDIsRomIiIhIMq/Uo52IiIjo7WOELKAanu1jhKyq3wmVGYtRIiIikoSxsTF09fTQJDep2vapq6cHY2PjatsfvRyLUSIiIpKEXC7HhMBAaDSaatunsbEx5HJ5te2PXo7FKBEREUlGLpezOHzLcQITEREREUmGxSgRERERSYaX6YmIiEgyKpWq0D2jvK/z7cJilIiIiCShUqmwavVq5OXmaq3X1dPDhMBAFqRvCRajREREJAmNRoO83FzckNniGQwBvHgWaJPcJGg0GhajbwkWo0RERCSpZzBEpszkxYdqePg9vVo4gYmIiIiIJMNilIiIiIgkw2KUiIiIiCTDYpSIiIiIJMNi9BUik8mwZ88eAMDdu3chk8mQmJgoaU5EREREVYnFaDV58OABxo4di4YNG8LAwAAKhQJeXl44efKkGJOamooePXqUqd/du3fj/fffh1wuh5mZGVq0aIGgoKBKzr7q7dq1Cw4ODjA0NISjoyMOHjz40jZHjx5F27ZtYWBgADs7O4SHhxeKWbNmDWxsbGBoaAhXV1ecPXu2CrInIiKi8mIxWk369euHhIQERERE4MaNG9i7dy86duyIR48eiTEKhQIGBgal7jM2NhYDBgxAv379cPbsWcTHx+PLL79ETk5OVRyClr/++qvS+jp16hQGDRqEkSNHIiEhAT4+PvDx8cGlS5eKbZOUlARvb2906tQJiYmJCAoKwqhRo3D48GExJioqCsHBwZgzZw7Onz8PJycneHl54f79+5WWOxEREVWMTBAEPtGriqWnp6NmzZo4evQoOnToUGycTCbD7t274ePjg7t378LW1hbff/89Vq5cifPnz8POzg5r1qwR+wgKCsKFCxfw66+/Ftvn3LlzsWfPHowdOxZffPEFHj16hF69euHbb78t88OEk5OTsW3bNkRERKBFixbYvXt3mdoXZ8CAAcjMzMT+/fvFde+//z5at26N9evXF9lm2rRpOHDggFbBOnDgQKSnpyM6OhoA4Orqivfeew+rV68GAOTn58Pa2hoTJkzA9OnTX5qXWq2GXC6HSqWCubl5RQ6RiIiKkJqaio0bN+KCrJn4nFETIRNOwlUEBATA0tJS4gypvMryO5RnRquBqakpTE1NsWfPHjx//rxMbadMmYLJkycjISEBbm5u+PDDD8WzqQqFApcvXy7xDCIA3Lp1Czt37sS+ffsQHR2NhIQEjBs3rlT7z8zMxLZt2+Dp6QlbW1scPHgQkydPxubNm8WYyMhI8RiLW06cOFHsPuLi4uDp6am1zsvLC3FxceVuk52djfj4eK0YHR0deHp6Ftvv8+fPoVartRYiIiKqWnwDUzXQ09NDeHg4Ro8ejfXr16Nt27bo0KEDBg4ciFatWpXYNjAwEP369QMArFu3DtHR0di0aROmTp2KCRMm4MSJE3B0dESjRo3w/vvvo1u3bvD19dW63J+VlYWtW7eifv36AIBVq1bB29sby5Ytg0KhKHK/x44dQ0REBHbt2oW6detiyJAh2LBhA959991Csb1794arq2uJx1Gw76IolUrUq1dPa129evWgVCrL3EatVuPZs2d48uQJ8vLyioy5du1akX0uXLgQ8+bNK/E4iIiIqHKxGK0m/fr1g7e3N06cOIHTp0/j0KFDWLx4McLCwjB8+PBi27m5uYl/1tPTg4uLC65evQoAMDExwYEDB3D79m38+uuvOH36NCZPnowVK1YgLi4OxsbGAICGDRtqFYNubm7Iz8/H9evXiy1GO3bsCCMjI4SGhuKTTz4p8djMzMxgZmZW2qF4Zc2YMQPBwcHiZ7VaDWtrawkzIiIievPxMn01MjQ0RNeuXTFr1iycOnUKw4cPx5w5cyrc77vvvotRo0YhLCwM58+fx5UrVxAVFVWhPvft2wdvb298+umnaNu2LUJDQ4s9U1nRy/QKhQJpaWla69LS0ootlEtqY25uDiMjI9SuXRu6urpl6tfAwADm5uZaCxEREVUtFqMSat68OTIzM0uMOX36tPjn3NxcxMfHo1mzZsXG29jYwNjYWKvf5ORkpKSkaPWpo6ODpk2bFttPr169sGvXLqSmpmLUqFHYsWMHGjRogB49emD79u3QaDRibO/evZGYmFji4uLiUuy+3NzcEBsbq7UuJiZG66xwWdvo6+vD2dlZKyY/Px+xsbEl9ktERETVq9Iu06enp8PCwqKyunujPHr0CB9//DFGjBiBVq1awczMDOfOncPixYvRp0+fEtuuWbMG9vb2aNasGUJDQ/HkyROMGDECwIuZ8hqNBj179kSjRo2Qnp6OlStXIicnB127dhX7MDQ0hJ+fH5YuXQq1Wo2JEyeif//+JZ55LFCzZk2MGzcO48aNw7Vr1xAeHo6pU6fixx9/xI8//gig4pfpP/30U3To0AHLli2Dt7c3duzYgXPnzmHjxo1izIwZM3Dv3j1s3boVADBmzBisXr0aU6dOxYgRI3DkyBHs3LkTBw4cENsEBwfDz88PLi4uaNeuHZYvX47MzEz4+/uXO1ciIiKqXOUqRr/++mvY2NhgwIABAID+/fvjxx9/hEKhwMGDB+Hk5FSpSb7uTE1N4erqitDQUNy+fRs5OTmwtrbG6NGjMXPmzBLbLlq0CIsWLUJiYiLs7Oywd+9e1K5dGwDQoUMHrFmzBsOGDUNaWhpq1qyJNm3a4JdfftE662lnZ4e+ffuiZ8+eePz4MXr16oW1a9eW+TgcHBywaNEifPXVV7h161aZ2xfH3d0d27dvR0hICGbOnAl7e3vs2bMHLVu2FGNSU1ORnJwsfra1tcWBAwcwadIkrFixAg0aNEBYWBi8vLzEmAEDBuDBgweYPXs2lEolWrdujejo6EKTmoiIiEg65XrOqK2tLSIjI+Hu7o6YmBj0798fUVFR2LlzJ5KTk/HLL79URa5UDgXPGeVrRcuOzxklIqpafM7om6ssv0PLdWZUqVSKs4z379+P/v37o1u3brCxsXnpI36IiIiIiAqUawJTzZo1xddBRkdHiw8WFwQBeXl5lZcdEREREb3RylWM9u3bF4MHD0bXrl3x6NEj9OjRAwCQkJAAOzu7Sk2QKmbu3Lm8RE9ERESvrHJdpg8NDYWNjQ3++usvLF68GKampgBe3PtR2tdMEhERERGVqxitUaMGPvvss0LrJ02aVOGEiIiIiOjtUe6H3m/btg3t27eHlZUV/vzzTwDA8uXL8fPPP1dackRERPTmM0IWTIRMmAiZMEKW1OlQNStXMbpu3ToEBwejR48eSE9PFyctWVhYYPny5ZWZHxEREb2hjI2NoaunhyZCEpyEq3ASrqKJkARdPT0YGxtLnR5Vk3I9Z7R58+b46quv4OPjAzMzM1y4cAGNGzfGpUuX0LFjRzx8+LAqciWqVnzOKBFR1VOpVFqvmAZeFKlyuVyijKgyVPlzRpOSktCmTZtC6w0MDF76rnUiIiKiAnK5nIXnW65cl+ltbW2LfFxQdHQ0mjVrVtGciIiIiOgtUa4zo8HBwRg/fjyysrIgCALOnj2L77//HgsXLkRYWFhl50hEREREb6hyFaOjRo2CkZERQkJCoNFoMHjwYFhZWWHFihUYOHBgZedIRERERG+oMhejubm52L59O7y8vODr6wuNRoOMjAzUrVu3KvIjIiKiN9TTp08RHx8PZ2dnmJmZSZ0OSaTM94zq6elhzJgxyMp68RwwY2NjFqJERERUZhkZGTh27BgyMjKkToUkVK4JTO3atUNCQkJl50JEREREb5ly3TM6btw4TJ48GX///TecnZ1hYmKitb1Vq1aVkhwRERERvdnKVYwWTFKaOHGiuE4mk0EQBMhkMvGNTEREREREJSn3Q++JiIiIiCqqXMVoo0aNKjsPIiIiInoLlasY3bp1a4nbhw0bVq5kXkdz587Fnj17inwjVUUdPXoUnTp1wpMnT2BhYVEpfd69exe2trZISEhA69atK6VPIiIiovIq12z6Tz/9VGsZN24chg8fjoCAAAQFBVVyipVj+PDhkMlkhZbu3btLndpb7cKFCxg0aBCsra1hZGSEZs2aYcWKFS9t9/jxY/j6+sLc3BwWFhYYOXJkoUeD/PHHH/Dw8IChoSGsra2xePHiqjoMIiIiKqdynRl98uRJoXU3b97E2LFjMWXKlAonVVW6d++OLVu2aK0zMDCQKJuS5eTkSJ1CsVJTU1GnTh3o6ZXrx0dLfHw86tati++++w7W1tY4deoUAgICoKuri8DAwGLb+fr6IjU1FTExMcjJyYG/vz8CAgKwfft2AIBarUa3bt3g6emJ9evX4+LFixgxYgQsLCwQEBBQ4byJiIiocpTrzGhR7O3tsWjRInz66aeV1WWlMzAwgEKh0Fpq1qwpbpfJZNiwYQN69eoFY2NjNGvWDHFxcbh16xY6duwIExMTuLu74/bt24X63rBhA6ytrWFsbIz+/ftDpVKJ237//Xd07doVtWvXhlwuR4cOHXD+/Hmt9jKZDOvWrUPv3r1hYmKCL7/8stA+NBoNevTogf/85z9IT08HAISFhaFZs2YwNDSEg4MD1q5dq9Xm7NmzaNOmDQwNDeHi4lLu58NmZWUhKioKPXr0gLW1NTIzM8vVz7+NGDECK1asQIcOHdC4cWMMGTIE/v7++Omnn4ptc/XqVURHRyMsLAyurq5o3749Vq1ahR07diAlJQUAEBkZiezsbGzevBktWrTAwIEDMXHiRHzzzTeVkjcRERFVjkorRoEXb2cqKAZeVwsWLMCwYcOQmJgIBwcHDB48GJ988glmzJiBc+fOQRCEQmfsbt26hZ07d2Lfvn2Ijo5GQkICxo0bJ25/+vQp/Pz88Ntvv+H06dOwt7dHz5498fTpU61+5s6di//+97/iWbx/Sk9PR9euXZGfn4+YmBhYWFggMjISs2fPxpdffomrV6/iq6++wqxZsxAREQHgxZstevXqhebNmyM+Ph5z587FZ599VqbxiIuLw5gxY2BpaYng4GC0bNkSiYmJkMvlYoypqWmJy5gxY8q0T5VKhVq1apWYk4WFBVxcXMR1np6e0NHRwZkzZ8SYDz74APr6+mKMl5cXrl+/XuSZfQB4/vw51Gq11kJERERVq1zXWffu3av1WRAEpKamYvXq1fjPf/5TKYlVhf3798PU1FRr3cyZMzFz5kzxs7+/P/r37w8AmDZtGtzc3DBr1ix4eXkBeHG/rL+/v1YfWVlZ2Lp1K+rXrw8AWLVqFby9vbFs2TIoFAp07txZK37jxo2wsLDAsWPH0KtXL3H94MGDtfq+c+cOAECpVGLAgAGwt7fH9u3bxQJrzpw5WLZsGfr27QsAsLW1xZUrV7Bhwwb4+flh+/btyM/Px6ZNm2BoaIgWLVrg77//xtixY0scp7///hsRERGIiIjAvXv38N///hdRUVFiwfdvL5u8ZW5uXuL2fzp16hSioqJw4MCBYmOUSmWhV9Dq6emhVq1aUCqVYoytra1WTL169cRt/zwjXmDhwoWYN29eqXMlIiKiiitXMerj46P1WSaToU6dOujcuTOWLVtWGXlViU6dOmHdunVa6/59Bu6fb48qKF4cHR211mVlZUGtVotFVsOGDcVCFADc3NyQn5+P69evQ6FQIC0tDSEhITh69Cju37+PvLw8aDQaJCcna+37n2f6/qlr165o164doqKioKurCwDIzMzE7du3MXLkSIwePVqMzc3NFc9aXr16Fa1atYKhoaFWbi8TEhKCiIgI9O3bF6dPny7xLCUA2NnZvbTP0rh06RL69OmDOXPmoFu3bpXSZ1nMmDEDwcHB4me1Wg1ra+tqz4OIiOhtUq5iND8/v7LzqBYmJiYvLZxq1Kgh/lkmkxW7rixj4Ofnh0ePHmHFihVo1KgRDAwM4Obmhuzs7EL5FcXb2xs//vgjrly5IhbGBTPHv/32W7i6umrFFxSs5RUSEgJLS0ts27YNTZo0wcCBAzF06NBC+ynw77PN/zZkyBCsX7++xJgrV66gS5cuCAgIQEhISImxCoUC9+/f11qXm5uLx48fQ6FQiDFpaWlaMQWfC2L+zcDA4JWd0EZERPSmKtc9o/Pnz4dGoym0/tmzZ5g/f36Fk3rdJCcna90re/r0aejo6KBp06YAgJMnT2LixIno2bMnWrRoAQMDAzx8+LDU/S9atAh+fn7o0qULrly5AuDFGVorKyvcuXMHdnZ2WkvB5elmzZrhjz/+QFZWllZuL2NnZ4eFCxciOTkZ27dvx5MnT9CpUyc0adIECxYsKPQGrsTExBKXl/1MXL58GZ06dYKfn1+RE7f+zc3NDenp6YiPjxfXHTlyBPn5+WLB7ObmhuPHj2s9lSAmJgZNmzYt8hI9ERERSaNcxei8efMKPdMReDHb+1W+5+758+dQKpVaS1mKwuIYGhrCz88PFy5cwIkTJzBx4kT0799fPANnb2+Pbdu24erVqzhz5gx8fX1hZGRUpn0sXboUvr6+6Ny5M65duwbgxfewcOFCrFy5Ejdu3MDFixexZcsWccb44MGDIZPJMHr0aFy5cgUHDx7E0qVLS71PHR0ddOvWDZGRkVAqlZg6dSp++eUX2NnZaU3u+Xcx/O/l3/d3/tOlS5fQqVMndOvWDcHBweL38uDBAzHm7NmzcHBwwL179wC8KLK7d++O0aNH4+zZszh58iQCAwMxcOBAWFlZiceur6+PkSNH4vLly4iKisKKFSu0LsMTERGR9MpVjAqCIF6u/qcLFy689P5CKUVHR8PS0lJrad++fYX7tbOzQ9++fdGzZ09069YNrVq10nrE0qZNm/DkyRO0bdsWQ4cOxcSJE0ss0IoTGhqK/v37o3Pnzrhx4wZGjRqFsLAwbNmyBY6OjujQoQPCw8PFM6OmpqbYt28fLl68iDZt2uDzzz/H119/Xa5jNDc3x6hRo3DixAncuHGjzMV0cX744Qc8ePAA3333ndb38t5774kxGo0G169f1zrLGRkZCQcHB3Tp0gU9e/ZE+/btsXHjRnG7XC7HL7/8gqSkJDg7O2Py5MmYPXs2nzFKRET0ipEJgiCUNrhmzZqQyWRQqVQwNzfXKkjz8vKQkZGBMWPGYM2aNVWSLFF1UqvVkMvl4s87ERFVrtTUVGzcuBEBAQGwtLSUOh2qRGX5HVqmCUzLly+HIAgYMWIE5s2bp/WsSX19fdjY2JRqtjYREREREVDGYtTPzw/Ai+dZuru7a80yJyIiIiIqq3I92qlDhw7in7Oysgo9ooiXNImIiIioNMo1gUmj0SAwMBB169aFiYkJatasqbUQEREREZVGuYrRKVOm4MiRI1i3bh0MDAwQFhaGefPmwcrKClu3bq3sHImIiIjoDVWuy/T79u3D1q1b0bFjR/j7+8PDwwN2dnZo1KgRIiMj4evrW9l5EhEREdEbqFxnRh8/fozGjRsDeHF/6OPHjwEA7du3x/HjxysvOyIiInpjmZqaokOHDi99rTS92cpVjDZu3Fh8JaSDgwN27twJ4MUZUwsLi0pLjoiIiN5cZmZm6NixI8zMzKROhSRUrmLU398fFy5cAABMnz4da9asgaGhISZNmoQpU6ZUaoJERERE9OYq0xuYivPnn38iPj4ednZ2aNWqVWXkRSQ5voGJiIiofKrsDUxFycrKQqNGjdCoUaOKdkVEREREb5lyFaN5eXn46quvsH79eqSlpeHGjRto3LgxZs2aBRsbG4wcObKy8yQiIqLXhEqlgkajKVWssbGx1uvF6e1TrmL0yy+/REREBBYvXozRo0eL61u2bInly5ezGCUiInpLqVQqrF61Crl5eaWK19PVReCECSxI32LlKka3bt2KjRs3okuXLhgzZoy43snJCdeuXau05IiIiOj1otFokJuXB5sTJ2CoUpUYmyWX466HBzQaDYvRt1i5itF79+7Bzs6u0Pr8/Hzk5ORUOCkiIiJ6vRmqVDD+/88hJypJuR7t1Lx5c5w4caLQ+h9++AFt2rSpcFJERERE9HYo15nR2bNnw8/PD/fu3UN+fj5++uknXL9+HVu3bsX+/fsrO0ciIiIiekOV6czonTt3IAgC+vTpg3379uF///sfTExMMHv2bFy9ehX79u1D165dqypXIiIiInrDlOnMqL29PVJTU1G3bl14eHigVq1auHjxIurVq1dV+RERERHRG6xMZ0b//bKmQ4cOITMzs1ITospz9OhRyGQypKenS50KERERUZHKNYGpQCW8SfStMXz4cMhkMshkMujr68POzg7z589Hbm6u1KlJ7ujRo2jbti0MDAxgZ2eH8PDwl7b5448/4OHhAUNDQ1hbW2Px4sWFYnbt2gUHBwcYGhrC0dERBw8erILsiYiIqCLKVIwWFFP/Xkel0717d6SmpuLmzZuYPHky5s6diyVLlpSrr7y8POTn51dyhqWTnJxcaX0lJSXB29sbnTp1QmJiIoKCgjBq1CgcPny42DZqtRrdunVDo0aNEB8fjyVLlmDu3LnYuHGjGHPq1CkMGjQII0eOREJCAnx8fODj44NLly5VWu5ERERUcWW+TD98+HD07dsXffv2RVZWFsaMGSN+LlioaAYGBlAoFGjUqBHGjh0LT09P7N27FwDwzTffwNHRESYmJrC2tsa4ceOQkZEhtg0PD4eFhQX27t2L5s2bw8DAAMnJyXj+/DmmTZsGa2tr8czipk2btPYbHx8PFxcXGBsbw93dHdevXy9z7g8ePMCKFSvQtm1b9OnTp2ID8Q/r16+Hra0tli1bhmbNmiEwMBAfffQRQkNDi20TGRmJ7OxsbN68GS1atMDAgQMxceJEfPPNN2LMihUr0L17d0yZMgXNmjXDggUL0LZtW6xevbrSciciIqKKK1Mx6ufnh7p160Iul0Mul2PIkCGwsrISPxcsVDpGRkbIzs4GAOjo6GDlypW4fPkyIiIicOTIEUydOlUrXqPR4Ouvv0ZYWBguX76MunXrYtiwYfj++++xcuVKXL16FRs2bICpqalWu88//xzLli3DuXPnoKenhxEjRpQqv+zsbOzevRs+Pj6oX78+Nm/eDF9fX63L3SdOnICpqWmJS2RkZLH7iIuLg6enp9Y6Ly8vxMXFldjmgw8+gL6+vlab69ev48mTJ+Xu9/nz51Cr1VoLERERVa0yzabfsmVLVeXxVhEEAbGxsTh8+DAmTJgAAAgKChK329jY4IsvvsCYMWOwdu1acX1OTg7Wrl0LJycnAMCNGzewc+dOxMTEiIVX48aNC+3vyy+/RIcOHQAA06dPh7e3N7KysmBoaFhkfufPn0d4eDi2b98OfX19DB48GOfOnUOrVq0Kxbq4uCAxMbHE4y3paQtKpbLQ9nr16kGtVuPZs2cwMjIqso2trW2R+1AqlahZs2ax/SqVymJzWbhwIebNm1fisRAREVHlKtdD76l89u/fD1NTU+Tk5CA/Px+DBw/G3LlzAQD/+9//sHDhQly7dg1qtRq5ubnIysqCRqOBsbExAEBfX1+rIExMTISurq5YaBbnn20sLS0BAPfv30fDhg2LjO/bty/+/vtvzJo1CyEhIdDV1S22byMjoyJfDfs6mjFjBoKDg8XParUa1tbWEmZERET05qvQbHoqm4JJOjdv3sSzZ88QEREBExMT3L17F7169UKrVq3w448/Ij4+HmvWrAEA8TI+8KLw++eEsaLOGhalRo0a4p8L2pc0+Wnbtm0YOnQoli5dKt5vmZSUVGRsRS/TKxQKpKWlaa1LS0uDubl5scdXXJuCbSXFFGwvioGBAczNzbUWIiIiqlo8M1qNTExMijyLGB8fj/z8fCxbtgw6Oi/+fbBz586X9ufo6Ij8/HwcO3as0P2RFeHh4QEPDw+sXr0aP/74IyIiIjBv3jy4u7tj6NCh+Pjjj2FhYQGg4pfp3dzcCj1yKSYmBm5ubiW2+fzzz5GTkyMW2jExMWjatClq1qwpxsTGxmrd/vCyfomIiKj68czoK8DOzg45OTlYtWoV7ty5g23btmH9+vUvbWdjYwM/Pz+MGDECe/bsQVJSEo4ePVqqQrY0TExMMGzYMMTGxuLOnTvo1q0blixZgi5duogxBZfpS1rMzMyK3ceYMWNw584dTJ06FdeuXcPatWuxc+dOTJo0SYxZvXq11j4HDx4MfX19jBw5EpcvX0ZUVBRWrFihdYn9008/RXR0NJYtW4Zr165h7ty5OHfuHAIDAytlbIiIiKhysBh9BTg5OeGbb77B119/jZYtWyIyMhILFy4sVdt169bho48+wrhx4+Dg4IDRo0dXyVuxGjZsiJCQENy4caPEy+5lZWtriwMHDiAmJgZOTk5YtmwZwsLC4OXlJcY8fPgQt2/fFj/L5XL88ssvSEpKgrOzMyZPnozZs2cjICBAjHF3d8f27duxceNGODk54YcffsCePXvQsmXLSsudiIiIKk4m8DVKREVSq9WQy+VQqVS8f5SIqJRSU1OxceNGOOzfD+PHj0uM1dSqhWu9eiEgIECcYEtvhrL8DuWZUSIiIiKSDItRIiIiIpIMi1EiIiIikgyLUSIiIiKSDJ8zSkRERJUuSy6vlBh687EYJSIiokpjbGwMPV1d3PXwKFW8nq6u+NprejuxGCUiIqJKI5fLEThhAjQaTanijY2NIecZ0rcai1EiIiKqVHK5nAUmlRonMBERERGRZFiMEhEREZFkWIwSERERkWR4zygRERFVCpVKVeqJSwU4gYlYjBIREVGFqVQqrF61Crl5eWVqp6eri8AJE1iQvsVYjBIREVGFaTQa5OblwebECRiqVKVqkyWX466HBzQaDYvRtxiLUSIiIqo0hioVjB8/ljoNeo1wAhMRERERSYbFKBERERFJhsUoEREREUmGxSgRERERSYbFKBERERFJRtJidN26dWjVqhXMzc1hbm4ONzc3HDp0qMhYQRDQo0cPyGQy7Nmzp8R+BUHA7NmzYWlpCSMjI3h6euLmzZtaMY8fP4avry/Mzc1hYWGBkSNHIiMjo7IOrUg2NjaQyWRaS4MGDap0n6+C5cuXo2nTpjAyMoK1tTUmTZqErKwscfvx48fx4YcfwsrKqlTfb4GjR4+ibdu2MDAwgJ2dHcLDwwvFrFmzBjY2NjA0NISrqyvOnj1bSUdFRERElUHSYrRBgwZYtGgR4uPjce7cOXTu3Bl9+vTB5cuXC8UuX74cMpmsVP0uXrwYK1euxPr163HmzBmYmJjAy8tLqwDy9fXF5cuXERMTg/379+P48eMICAio0PEkJye/NGb+/PlITU0Vl4SEhHLtKzs7u1ztSuOvv/6qtL62b9+O6dOnY86cObh69So2bdqEqKgozJw5U4zJzMyEk5MT1qxZU+p+k5KS4O3tjU6dOiExMRFBQUEYNWoUDh8+LMZERUUhODgYc+bMwfnz5+Hk5AQvLy/cv3+/0o6PiIiIKkh4xdSsWVMICwvTWpeQkCDUr19fSE1NFQAIu3fvLrZ9fn6+oFAohCVLlojr0tPTBQMDA+H7778XBEEQrly5IgAQfv/9dzHm0KFDgkwmE+7du1emfFUqlRAWFiZ4eHgINWvWLDG2UaNGQmhoaKH1ubm5wogRIwQbGxvB0NBQaNKkibB8+XKtGD8/P6FPnz7CF198IVhaWgo2NjaCIAhCcnKy8PHHHwtyuVyoWbOm0Lt3byEpKalMxyAIgvDnn38KX3zxhWBvby/4+PiUuX1xxo8fL3Tu3FlrXXBwsPCf//ynyPiXfb8Fpk6dKrRo0UJr3YABAwQvLy/xc7t27YTx48eLn/Py8gQrKyth4cKFpcpdpVIJAASVSlWqeCKit1lKSoowd+5cYYeLi7C3ceNSLTtcXIS5c+cKKSkpUqdPlawsv0NfmXtG8/LysGPHDmRmZsLNzU1cr9FoMHjwYKxZswYKheKl/SQlJUGpVMLT01NcJ5fL4erqiri4OABAXFwcLCws4OLiIsZ4enpCR0cHZ86ceek+8vPzERMTgyFDhkChUGDRokXo0qULzp07V5ZD1uqvQYMG2LVrF65cuYLZs2dj5syZ2Llzp1ZcbGwsrl+/Lp7NzcnJgZeXF8zMzHDixAmcPHkSpqam6N69e6nOnGZmZmLbtm3w9PSEra0tDh48iMmTJ2Pz5s1iTGRkJExNTUtcTpw4Uew+3N3dER8fL14ev3PnDg4ePIiePXuWa6wKxMXFaX3HAODl5SV+x9nZ2YiPj9eK0dHRgaenpxjzb8+fP4dardZaiIiIqGpJ/gamixcvws3NDVlZWTA1NcXu3bvRvHlzcfukSZPg7u6OPn36lKo/pVIJAKhXr57W+nr16onblEol6tatq7VdT08PtWrVEmOKcuPGDYSHh2Pbtm3IzMxE//798b///Q/u7u6lyg0Apk2bhpCQEPHzV199hYkTJ2LevHniOltbW8TFxWHnzp3o37+/uN7ExARhYWHQ19cHAHz33XfIz89HWFiYeAvDli1bYGFhgaNHj6Jbt25F5nDs2DFERERg165dqFu3LoYMGYINGzbg3XffLRTbu3dvuLq6lnhM9evXL3bb4MGD8fDhQ7Rv3x6CICA3NxdjxozRukxfHkqlssjvWK1W49mzZ3jy5Any8vKKjLl27VqRfS5cuFDreyAiIqKqJ3kx2rRpUyQmJkKlUuGHH36An58fjh07hubNm2Pv3r04cuRIue+rrGwBAQE4duwYxowZg2+++QZGRkZl7mPKlCkYPny4+Ll27doAXky02bx5M5KTk/Hs2TNkZ2ejdevWWm0dHR3FQhQALly4gFu3bsHMzEwrLisrC7dv3y42h44dO8LIyAihoaH45JNPSszXzMysUP9lcfToUXz11VdYu3YtXF1dcevWLXz66adYsGABZs2aVe5+q8KMGTMQHBwsflar1bC2tpYwIyIiojef5MWovr4+7OzsAADOzs74/fffsWLFCmzYsAFHjhzB7du3YWFhodWmX79+8PDwwNGjRwv1V3ApPy0tDZaWluL6tLQ0sbhTKBSFJrHk5ubi8ePHJd4KsHz5cmzatAnff/899u/fD19fXwwdOhQtWrQo9fHWrl1bPN4CO3bswGeffYZly5bBzc0NZmZmWLJkSaFbBkxMTLQ+Z2RkwNnZGZGRkYX2U6dOnWJz2LdvHyIiIvDpp59iw4YNGDp0KAYNGlTksUdGRr60YD106BA8PDyK3DZr1iwMHToUo0aNAvCioM7MzERAQAA+//xz6OiU704RhUKBtLQ0rXVpaWkwNzeHkZERdHV1oaurW2RMcd+xgYEBDAwMypUPERERlc8rc89ogfz8fDx//hwAMH36dPzxxx9ITEwUFwAIDQ3Fli1bimxva2sLhUKB2NhYcZ1arcaZM2fEe1Hd3NyQnp6O+Ph4MebIkSPIz88v8ZJ069atsWrVKqSkpGDFihW4evUq2rRpg7Zt2yI0NLTES/wlOXnyJNzd3TFu3Di0adMGdnZ2JZ7ZLNC2bVvcvHkTdevWhZ2dndYil8uLbderVy/s2rULqampGDVqFHbs2IEGDRqgR48e2L59OzQajRjbu3dvrfEvavnnvbf/ptFoChWcurq6AF48gqu83NzctL5jAIiJiRG/Y319fTg7O2vF5OfnIzY2VuueZCIiIpKWpMXojBkzcPz4cdy9excXL17EjBkzcPToUfj6+gJ4cfarZcuWWgsANGzYELa2tmI/Dg4O2L17NwBAJpMhKCgIX3zxBfbu3YuLFy9i2LBhsLKygo+PDwCgWbNm6N69O0aPHo2zZ8/i5MmTCAwMxMCBA2FlZfXSvPX19dG3b1/8/PPPuHfvHoYNG4atW7eW6QzpP9nb2+PcuXM4fPgwbty4gVmzZuH3339/aTtfX1/Url0bffr0wYkTJ5CUlISjR49i4sSJ+Pvvv1/avmbNmhg3bhzOnDmDS5cuwcnJCVOnTsXQoUPFGDMzs0KF7r+Xkm5X+PDDD7Fu3Trs2LEDSUlJiImJwaxZs/Dhhx+KRWlGRobWPzaSkpKQmJio9aisGTNmYNiwYeLnMWPG4M6dO5g6dSquXbuGtWvXYufOnZg0aZIYExwcjG+//RYRERG4evUqxo4di8zMTPj7+790bIiIiKh6SHqZ/v79+xg2bBhSU1Mhl8vRqlUrHD58GF27di1TP9evX4dKpRI/T506VbwUnJ6ejvbt2yM6OhqGhoZiTGRkJAIDA9GlSxfo6OigX79+WLlyZZmPoU6dOggKCkJQUFCxE2Ne5pNPPkFCQgIGDBgAmUyGQYMGYdy4ccW+AKCAsbExjh8/jmnTpqFv3754+vQp6tevjy5dusDc3LxMOTg4OGDRokX46quvcOvWrXIdR1FCQkIgk8kQEhKCe/fuoU6dOvjwww/x5ZdfijHnzp1Dp06dxM8F9236+fmJD7JPTU3VKk5tbW1x4MABTJo0CStWrECDBg0QFhYGLy8vMWbAgAF48OABZs+eDaVSidatWyM6OrrQpCYiIiKSjkyoyLVSojeYWq2GXC6HSqUqc3FPRPS2SU1NxcaNG+Gwfz+MHz8uVRtNrVq41qsXAgICtOZ50OuvLL9DX7l7RomIiIjo7cFilIiIiIgkw2KUiIiIiCTDYpSIiIiIJCP5Q++JiIjozZFVwnOuKxJLby4Wo0RERFRhxsbG0NPVxd1i3shXHD1dXRgbG1dRVvQ6YDFKREREFSaXyxE4YYLWW/xKw9jYuMS3BtKbj8UoERERVQq5XM7CksqME5iIiIiISDIsRomIiIhIMixGiYiIiEgyvGeUqJqpVKoy3+BPRPSm4gQmYjFKVI1UKhVWr1qF3Lw8qVMhInol6OnqInDCBBakbzEWo0TVSKPRIDcvDzYnTsBQpZI6HSIiSWXJ5bjr4QGNRsNi9C3GYpRIAoYqFYwfP5Y6DSIiIslxAhMRERERSYbFKBERERFJhsUoEREREUmGxSgRERERSYbFKBERERFJ5o0sRtesWQMbGxsYGhrC1dUVZ8+efWmbXbt2wcHBAYaGhnB0dMTBgwe1tguCgNmzZ8PS0hJGRkbw9PTEzZs3q+oQAAAPHjzA2LFj0bBhQxgYGEChUMDLywsnT56s0v1Wp9TUVAwePBhNmjSBjo4OgoKCStUuOTkZ3t7eMDY2Rt26dTFlyhTk5uZqxRw9ehRt27aFgYEB7OzsEB4eXvkHQERERBXyxhWjUVFRCA4Oxpw5c3D+/Hk4OTnBy8sL9+/fL7bNqVOnMGjQIIwcORIJCQnw8fGBj48PLl26JMYsXrwYK1euxPr163HmzBmYmJjAy8sLWVlZ5c71yZMnyMjIKHZ7v379kJCQgIiICNy4cQN79+5Fx44d8ejRo3LvszIkJydXWl/Pnz9HnTp1EBISAicnp1K1ycvLg7e3N7Kzs3Hq1ClEREQgPDwcs2fPFmOSkpLg7e2NTp06ITExEUFBQRg1ahQOHz5cabkTERFRxckEQRCkTqIyubq64r333sPq1asBAPn5+bC2tsaECRMwffr0ItsMGDAAmZmZ2L9/v7ju/fffR+vWrbF+/XoIggArKytMnjwZn332GYAXb9KpV68ewsPDMXDgwFLnl5ubi8OHDyM8PBz79u3DmTNniizC0tPTUbNmTRw9ehQdOnQotr/09HR89tln+Pnnn/H8+XO4uLggNDQUTk5OePDgARwdHTFx4kTMnDkTwIvCu2PHjjh06BC6dOlS6rwfPHiA7du3IyIiAoIgICEhodRtS6tjx45o3bo1li9fXmLcoUOH0KtXL6SkpKBevXoAgPXr12PatGl48OAB9PX1MW3aNBw4cEDrHxQDBw5Eeno6oqOjS5WPWq2GXC6HSqWCubl5uY/rn1JTU7Fx40Y47N/P54wS0VtPU6sWrvXqhYCAAFhaWkqdDlWisvwOfaPOjGZnZyM+Ph6enp7iOh0dHXh6eiIuLq7YdnFxcVptAMDLy0tsk5SUBKVSqRUjl8vh6upaYr//dPHiRUyePBkNGjTAsGHDUKdOHfz666/Fng00NTWFqakp9uzZg+fPnxfb78cff4z79+/j0KFDiI+PR9u2bdGlSxc8fvwYderUwebNmzF37lycO3cOT58+xdChQxEYGFiqQjQ7Oxu7d++Gj48P6tevj82bN8PX11frFoYTJ06IuRa3REZGlmqMSisuLg6Ojo5iIQq8+L7UajUuX74sxpT0nRbl+fPnUKvVWgsRERFVrTfqDUwPHz5EXl6eVpECAPXq1cO1a9eKbadUKotso1Qqxe0F64qLKcqjR4/w3XffISIiApcvX0bPnj2xdu1a9OrVC/r6+iUei56eHsLDwzF69GisX78ebdu2RYcOHTBw4EC0atUKAPDbb7/h7NmzuH//PgwMDAAAS5cuxZ49e/DDDz8gICAAPXv2xOjRo+Hr6wsXFxeYmJhg4cKFJe77/PnzCA8Px/bt26Gvr4/Bgwfj3Llz4n7/ycXFBYmJiSX29+9xq6jivq+CbSXFqNVqPHv2DEZGRoX6XbhwIebNm1epuRIREVHJ3qhi9FWzatUqzJs3Dx4eHrh16xasra3L1L5fv37w9vbGiRMncPr0aRw6dAiLFy9GWFgYhg8fjgsXLiAjIwPvvPOOVrtnz57h9u3b4uelS5eiZcuW2LVrF+Lj48XCtTh9+/bF33//jVmzZiEkJAS6urrFxhoZGcHOzq5Mx/WqmjFjBoKDg8XParW6zN8ZERERlc0bdZm+du3a0NXVRVpamtb6tLQ0KBSKYtspFIoS2xT8t6z9BgQEYMGCBVAqlWjRogX8/f1x5MgR5Ofnl/qYDA0N0bVrV8yaNQunTp3C8OHDMWfOHABARkYGLC0tkZiYqLVcv34dU6ZMEfu4ffs2UlJSkJ+fj7t37750n9u2bcPQoUOxdOlSNGvWDAsWLEBSUlKRsVJcpi/u+yrYVlKMubl5kWdFAcDAwADm5uZaCxEREVWtN6oY1dfXh7OzM2JjY8V1+fn5iI2NhZubW7Ht3NzctNoAQExMjNjG1tYWCoVCK0atVuPMmTMl9mtlZYWQkBDcuHED0dHR0NfXR9++fdGoUSNMnz5dvL+xLJo3b47MzEwAQNu2baFUKqGnpwc7OzutpXbt2gBe3Pc5ZMgQDBgwAAsWLMCoUaNKfLIAAHh4eGDLli1QKpUICQnB0aNHYW9vjw8++ADffvst0tPTxdiCy/QlLb179y7zcZbEzc0NFy9e1DqOmJgYmJubo3nz5mJMSd8pERERvRreqGIUAIKDg/Htt98iIiICV69exdixY5GZmQl/f38xZtiwYZgxY4b4+dNPP0V0dDSWLVuGa9euiRN+AgMDAQAymQxBQUH44osvsHfvXly8eBHDhg2DlZUVfHx8SpWXu7s7NmzYAKVSiSVLliAxMRFOTk64ePFikfGPHj1C586d8d133+GPP/5AUlISdu3ahcWLF6NPnz4AAE9PT7i5ucHHxwe//PIL7t69i1OnTuHzzz/HuXPnAACff/45VCoVVq5ciWnTpqFJkyYYMWJEqXI2MTHBsGHDEBsbizt37qBbt25YsmSJ1uSngsv0JS1mZmYl7qegaM3IyMCDBw+QmJiIK1euiNt3794NBwcH8XO3bt3QvHlzDB06FBcuXMDhw4cREhKC8ePHi7cgjBkzBnfu3MHUqVNx7do1rF27Fjt37sSkSZNKdexERERUPd64e0YHDBiABw8eYPbs2VAqlWjdujWio6O1JrMkJydDR+f/6nB3d3ds374dISEhmDlzJuzt7bFnzx60bNlSjJk6dSoyMzMREBCA9PR0tG/fHtHR0TA0NCxTfoaGhhg4cCAGDhyIlJQUmJqaFhlnamoKV1dXhIaG4vbt28jJyYG1tTVGjx4tPqZJJpPh4MGD+Pzzz+Hv748HDx5AoVDggw8+QL169XD06FEsX74cv/76q3jJedu2bXBycsK6deswduzYUufdsGFDhISEICQkpMTJYOXRpk0b8c/x8fHYvn07GjVqJN5SoFKpcP36dTFGV1cX+/fvx9ixY+Hm5gYTExP4+flh/vz5YoytrS0OHDiASZMmYcWKFWjQoAHCwsLg5eVVqbkTERFRxbxxzxklqix8zigRUdXic0bfXG/tc0aJiIiI6PXCYpSIiIiIJMNilIiIiIgkw2KUiIiIiCTzxs2mJ3odZMnlUqdARCQ5/r+QABajRNXK2NgYerq6uOvhIXUqRESvBD1dXRgbG0udBkmIxShRNZLL5QicMAEajUbqVIiIXgnGxsaQ8wzpW43FKFE1k8vl/B8vERHR/8cJTEREREQkGRajRERERCQZFqNEREREJBkWo0REREQkGRajRERERCQZFqNEREREJBkWo0REREQkGT5nlKgYgiAAANRqtcSZEBERvV4KfncW/C4tCYtRomI8ffoUAGBtbS1xJkRERK+np0+fvvRFLzKhNCUr0VsoPz8fKSkpMDMzg0wmkzqdaqVWq2FtbY2//voL5ubmUqfzSuHYFI9jUzSOS/E4NkV7E8ZFEAQ8ffoUVlZW0NEp+a5QnhklKoaOjg4aNGggdRqSMjc3f23/R1jVODbF49gUjeNSPI5N0V73cSntq685gYmIiIiIJMNilIiIiIgkw2KUiAoxMDDAnDlzYGBgIHUqrxyOTfE4NkXjuBSPY1O0t21cOIGJiIiIiCTDM6NEREREJBkWo0REREQkGRajRERERCQZFqNEREREJBkWo0QEAHj8+DF8fX1hbm4OCwsLjBw5EhkZGaVqKwgCevToAZlMhj179lRtohIoz9h88sknePfdd2FkZIQ6deqgT58+uHbtWjVlXD3KOi6PHz/GhAkT0LRpUxgZGaFhw4aYOHEiVCpVNWZdPcrzM7Nx40Z07NgR5ubmkMlkSE9Pr55kq9iaNWtgY2MDQ0NDuLq64uzZsyXG79q1Cw4ODjA0NISjoyMOHjxYTZlWr7KMy+XLl9GvXz/Y2NhAJpNh+fLl1ZdoNWAxSkQAAF9fX1y+fBkxMTHYv38/jh8/joCAgFK1Xb58+Rv9ytTyjI2zszO2bNmCq1ev4vDhwxAEAd26dUNeXl41ZV31yjouKSkpSElJwdKlS3Hp0iWEh4cjOjoaI0eOrMasq0d5fmY0Gg26d++OmTNnVlOWVS8qKgrBwcGYM2cOzp8/DycnJ3h5eeH+/ftFxp86dQqDBg3CyJEjkZCQAB8fH/j4+ODSpUvVnHnVKuu4aDQaNG7cGIsWLYJCoajmbKuBQERvvStXrggAhN9//11cd+jQIUEmkwn37t0rsW1CQoJQv359ITU1VQAg7N69u4qzrV4VGZt/unDhggBAuHXrVlWkWe0qa1x27twp6OvrCzk5OVWRpiQqOja//vqrAEB48uRJFWZZPdq1ayeMHz9e/JyXlydYWVkJCxcuLDK+f//+gre3t9Y6V1dX4ZNPPqnSPKtbWcflnxo1aiSEhoZWYXbVj2dGiQhxcXGwsLCAi4uLuM7T0xM6Ojo4c+ZMse00Gg0GDx6MNWvWvJn/Wkf5x+afMjMzsWXLFtja2sLa2rqqUq1WlTEuAKBSqWBubg49Pb2qSFMSlTU2r7vs7GzEx8fD09NTXKejowNPT0/ExcUV2SYuLk4rHgC8vLyKjX8dlWdc3nQsRokISqUSdevW1Vqnp6eHWrVqQalUFttu0qRJcHd3R58+fao6RcmUd2wAYO3atTA1NYWpqSkOHTqEmJgY6OvrV2W61aYi41Lg4cOHWLBgQalvB3ldVMbYvAkePnyIvLw81KtXT2t9vXr1ih0HpVJZpvjXUXnG5U3HYpToDTZ9+nTIZLISl/JOqtm7dy+OHDny2t5IX5VjU8DX1xcJCQk4duwYmjRpgv79+yMrK6uSjqBqVMe4AIBarYa3tzeaN2+OuXPnVjzxalBdY0P0tnlzrosQUSGTJ0/G8OHDS4xp3LgxFApFoRvnc3Nz8fjx42Ivvx85cgS3b9+GhYWF1vp+/frBw8MDR48erUDmVa8qx6aAXC6HXC6Hvb093n//fdSsWRO7d+/GoEGDKpp+lamOcXn69Cm6d+8OMzMz7N69GzVq1Kho2tWiOsbmTVK7dm3o6uoiLS1Na31aWlqx46BQKMoU/zoqz7i86ViMEr3B6tSpgzp16rw0zs3NDenp6YiPj4ezszOAF8Vmfn4+XF1di2wzffp0jBo1Smudo6MjQkND8eGHH1Y8+SpWlWNTFEEQIAgCnj9/Xu6cq0NVj4tarYaXlxcMDAywd+9eGBoaVlruVa26f2Zed/r6+nB2dkZsbCx8fHwAAPn5+YiNjUVgYGCRbdzc3BAbG4ugoCBxXUxMDNzc3Koh4+pRnnF540k9g4qIXg3du3cX2rRpI5w5c0b47bffBHt7e2HQoEHi9r///lto2rSpcObMmWL7wBs4m14Qyj42t2/fFr766ivh3Llzwp9//imcPHlS+PDDD4VatWoJaWlpUh1GpSvruKhUKsHV1VVwdHQUbt26JaSmpopLbm6uVIdRJcrz9yk1NVVISEgQvv32WwGAcPz4cSEhIUF49OiRFIdQKXbs2CEYGBgI4eHhwpUrV4SAgADBwsJCUCqVgiAIwtChQ4Xp06eL8SdPnhT09PSEpUuXClevXhXmzJkj1KhRQ7h48aJUh1Alyjouz58/FxISEoSEhATB0tJS+Oyzz4SEhATh5s2bUh1CpWIxSkSCIAjCo0ePhEGDBgmmpqaCubm54O/vLzx9+lTcnpSUJAAQfv3112L7eFOL0bKOzb1794QePXoIdevWFWrUqCE0aNBAGDx4sHDt2jWJjqBqlHVcCh5ZVNSSlJQkzUFUkfL8fZozZ06RY7Nly5bqP4BKtGrVKqFhw4aCvr6+0K5dO+H06dPitg4dOgh+fn5a8Tt37hSaNGki6OvrCy1atBAOHDhQzRlXj7KMS8HPy7+XDh06VH/iVUAmCIJQjSdiiYiIiIhEnE1PRERERJJhMUpEREREkmExSkRERESSYTFKRERERJJhMUpEREREkmExSkRERESSYTFKRERERJJhMUpERK+lu3fvQiaTITExUepUiKgCWIwSERERkWRYjBIRERGRZFiMEhHRa0Wj0WDEiBFo2bIlAMDd3R2DBg2CSqWSODMiKg8Wo0RE9FqZMmUKjh8/jq1btwIAvv32W1y5cgXjxo2TODMiKg+ZIAiC1EkQERGVRkZGBmrVqoXIyEi89957sLW1RUJCAh4+fIhu3bohJSUFCoVC6jSJqAx4ZpSIiF4bt2/fRk5ODlxdXbXWt2vXDoIg4MaNGxJlRkTlxWKUiIiIiCTDYpSIiF4b7777LmrUqIHff/9da/3vv/8OmUyGJk2aSJQZEZUXi1EiInptmJqaYvTo0ZgxYwYSEhIAAFeuXEFwcDAGDRrE+0WJXkOcwERERK8VjUaD8ePHY9euXcjMzISRkRF69+6NDRs2QC6XS50eEZURi1EiInot3b17V5xN37p1a6nTIaJy4mV6IiIiIpIMi1EiIiIikgwv0xMRERGRZHhmlIiIiIgkw2KUiIiIiCTDYpSIiIiIJMNilIiIiIgkw2KUiIiIiCTDYpSIiIiIJMNilIiIiIgkw2KUiIiIiCTDYpSIiIiIJPP/ABNmQqG6KlYdAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 600x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# LIME's own functions\n",
    "#explanation.show_in_notebook()\n",
    "#p = explanation.as_pyplot_figure(label=1)\n",
    "\n",
    "# Our own plot\n",
    "l = explanation.as_list()\n",
    "df = pd.DataFrame(l)\n",
    "feature_names = df.iloc[:,0]\n",
    "infl = df.iloc[:,1]\n",
    "nfeatures = len(feature_names)\n",
    "fig, ax = plt.subplots(figsize=(6,3))\n",
    "y_pos = np.arange(nfeatures)\n",
    "infl, feature_names = (list(t) for t in zip(*sorted(zip(infl, feature_names))))\n",
    "plt.xlabel(\"ϕ\")\n",
    "for m in range(len(infl)):\n",
    "    ax.barh(y_pos[m], infl[m], color=[\"firebrick\" if infl[m] < 0 else \"steelblue\"],\n",
    "            edgecolor=\"#808080\", zorder=2)\n",
    "plt.ylabel(\"Features\")\n",
    "ax.set_yticks(y_pos)\n",
    "ax.set_yticklabels(feature_names)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## CIU Textual explanations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The explained value is Yes with the value 0.64 (CU=0.64), which is higher than average utility.\n",
      "Feature Pclass has very low importance (CI=0.00) and has value(s) 1.0, which is low utility (CU=0.00)\n",
      "Feature Sex has low importance (CI=0.23) and has value(s) 1.0, which is low utility (CU=0.00)\n",
      "Feature Age has high importance (CI=0.64) and has value(s) 8.0, which is high utility (CU=0.91)\n",
      "Feature SibSp has low importance (CI=0.23) and has value(s) 0.0, which is high utility (CU=0.83)\n",
      "Feature Parch has very low importance (CI=0.16) and has value(s) 0.0, which is low utility (CU=0.00)\n",
      "Feature Fare has low importance (CI=0.21) and has value(s) 72.0, which is higher than average utility (CU=0.67)\n",
      "Feature Embarked has very low importance (CI=0.07) and has value(s) 1.0, which is high utility (CU=1.00)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(CIU_titanic.textual_explanation(CIUres))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "The explained value is ***Yes*** with the value 0.64 (CU=0.64), which is **higher than average utility**.<br>Feature *Pclass* has **very low importance (CI=0.00)** and has value(s) 1.0, which is **low utility (CU=0.00)**<br>Feature *Sex* has **low importance (CI=0.23)** and has value(s) 1.0, which is **low utility (CU=0.00)**<br>Feature *Age* has **high importance (CI=0.64)** and has value(s) 8.0, which is **high utility (CU=0.91)**<br>Feature *SibSp* has **low importance (CI=0.23)** and has value(s) 0.0, which is **high utility (CU=0.83)**<br>Feature *Parch* has **very low importance (CI=0.16)** and has value(s) 0.0, which is **low utility (CU=0.00)**<br>Feature *Fare* has **low importance (CI=0.21)** and has value(s) 72.0, which is **higher than average utility (CU=0.67)**<br>Feature *Embarked* has **very low importance (CI=0.07)** and has value(s) 1.0, which is **high utility (CU=1.00)**<br>"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Markdown\n",
    "markdown_text = CIU_titanic.textual_explanation(CIUres, use_markdown_effects=True)\n",
    "Markdown(markdown_text)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Intermediate concepts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "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>CI</th>\n",
       "      <th>CU</th>\n",
       "      <th>Cinfl</th>\n",
       "      <th>outname</th>\n",
       "      <th>outval</th>\n",
       "      <th>feature</th>\n",
       "      <th>ymin</th>\n",
       "      <th>ymax</th>\n",
       "      <th>inputs</th>\n",
       "      <th>invals</th>\n",
       "      <th>neutralCU</th>\n",
       "      <th>target_concept</th>\n",
       "      <th>target_inputs</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Coalition of 2 inputs</th>\n",
       "      <td>0.7125</td>\n",
       "      <td>0.140351</td>\n",
       "      <td>-0.25625</td>\n",
       "      <td>No</td>\n",
       "      <td>0.36</td>\n",
       "      <td>Coalition of 2 inputs</td>\n",
       "      <td>0.26</td>\n",
       "      <td>0.9725</td>\n",
       "      <td>[2, 3]</td>\n",
       "      <td>[8.0, 0.0]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                           CI        CU    Cinfl outname  outval  \\\n",
       "Coalition of 2 inputs  0.7125  0.140351 -0.25625      No    0.36   \n",
       "\n",
       "                                     feature  ymin    ymax  inputs  \\\n",
       "Coalition of 2 inputs  Coalition of 2 inputs  0.26  0.9725  [2, 3]   \n",
       "\n",
       "                           invals  neutralCU target_concept target_inputs  \n",
       "Coalition of 2 inputs  [8.0, 0.0]        0.5           None          None  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res = CIU_titanic.explain_core([2,3], new_passenger, nsamples=1000)\n",
    "display(pd.concat(res))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "titanic_voc = {\n",
    "    \"Wealth\":['Pclass', 'Fare'],\n",
    "    \"Family\":['SibSp', 'Parch'],\n",
    "    \"Gender\":['Sex'],\n",
    "    \"Age\":['Age'],\n",
    "    \"Embarked\":['Embarked']\n",
    "}\n",
    "CIU_titanic.vocabulary = titanic_voc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "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>CI</th>\n",
       "      <th>CU</th>\n",
       "      <th>Cinfl</th>\n",
       "      <th>outname</th>\n",
       "      <th>outval</th>\n",
       "      <th>feature</th>\n",
       "      <th>ymin</th>\n",
       "      <th>ymax</th>\n",
       "      <th>inputs</th>\n",
       "      <th>invals</th>\n",
       "      <th>neutralCU</th>\n",
       "      <th>target_concept</th>\n",
       "      <th>target_inputs</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Wealth</th>\n",
       "      <td>0.430000</td>\n",
       "      <td>0.558140</td>\n",
       "      <td>0.025000</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0.64</td>\n",
       "      <td>Wealth</td>\n",
       "      <td>0.40</td>\n",
       "      <td>0.830000</td>\n",
       "      <td>[0, 5]</td>\n",
       "      <td>[1.0, 72.0]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Family</th>\n",
       "      <td>0.390000</td>\n",
       "      <td>0.487179</td>\n",
       "      <td>-0.005000</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0.64</td>\n",
       "      <td>Family</td>\n",
       "      <td>0.45</td>\n",
       "      <td>0.840000</td>\n",
       "      <td>[3, 4]</td>\n",
       "      <td>[0.0, 0.0]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Sex</th>\n",
       "      <td>0.233333</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>-0.116667</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0.64</td>\n",
       "      <td>Sex</td>\n",
       "      <td>0.64</td>\n",
       "      <td>0.873333</td>\n",
       "      <td>[1]</td>\n",
       "      <td>[1.0]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Age</th>\n",
       "      <td>0.640000</td>\n",
       "      <td>0.906250</td>\n",
       "      <td>0.260000</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0.64</td>\n",
       "      <td>Age</td>\n",
       "      <td>0.06</td>\n",
       "      <td>0.700000</td>\n",
       "      <td>[2]</td>\n",
       "      <td>[8.0]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Embarked</th>\n",
       "      <td>0.070000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.035000</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0.64</td>\n",
       "      <td>Embarked</td>\n",
       "      <td>0.57</td>\n",
       "      <td>0.640000</td>\n",
       "      <td>[6]</td>\n",
       "      <td>[1.0]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                CI        CU     Cinfl outname  outval   feature  ymin  \\\n",
       "Wealth    0.430000  0.558140  0.025000     Yes    0.64    Wealth  0.40   \n",
       "Family    0.390000  0.487179 -0.005000     Yes    0.64    Family  0.45   \n",
       "Sex       0.233333  0.000000 -0.116667     Yes    0.64       Sex  0.64   \n",
       "Age       0.640000  0.906250  0.260000     Yes    0.64       Age  0.06   \n",
       "Embarked  0.070000  1.000000  0.035000     Yes    0.64  Embarked  0.57   \n",
       "\n",
       "              ymax  inputs       invals  neutralCU target_concept  \\\n",
       "Wealth    0.830000  [0, 5]  [1.0, 72.0]        0.5           None   \n",
       "Family    0.840000  [3, 4]   [0.0, 0.0]        0.5           None   \n",
       "Sex       0.873333     [1]        [1.0]        0.5           None   \n",
       "Age       0.700000     [2]        [8.0]        0.5           None   \n",
       "Embarked  0.640000     [6]        [1.0]        0.5           None   \n",
       "\n",
       "         target_inputs  \n",
       "Wealth            None  \n",
       "Family            None  \n",
       "Sex               None  \n",
       "Age               None  \n",
       "Embarked          None  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "top_res = CIU_titanic.explain_voc(new_passenger, output_inds=1, nsamples=1000)\n",
    "display(top_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x300 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CIU_titanic.plot_ciu(top_res, figsize=(6,3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CIU_titanic.plot_influence(top_res, figsize=(6,3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The explained value is Yes with the value 0.64 (CU=0.64), which is higher than average utility.\n",
      "Feature Wealth has normal importance (CI=0.43) and has value(s) [ 1. 72.], which is higher than average utility (CU=0.56)\n",
      "Feature Family has low importance (CI=0.39) and has value(s) [0. 0.], which is lower than average utility (CU=0.49)\n",
      "Feature Sex has low importance (CI=0.23) and has value(s) 1.0, which is low utility (CU=0.00)\n",
      "Feature Age has high importance (CI=0.64) and has value(s) 8.0, which is high utility (CU=0.91)\n",
      "Feature Embarked has very low importance (CI=0.07) and has value(s) 1.0, which is high utility (CU=1.00)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(CIU_titanic.textual_explanation(top_res))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "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>CI</th>\n",
       "      <th>CU</th>\n",
       "      <th>Cinfl</th>\n",
       "      <th>outname</th>\n",
       "      <th>outval</th>\n",
       "      <th>feature</th>\n",
       "      <th>ymin</th>\n",
       "      <th>ymax</th>\n",
       "      <th>inputs</th>\n",
       "      <th>invals</th>\n",
       "      <th>neutralCU</th>\n",
       "      <th>target_concept</th>\n",
       "      <th>target_inputs</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>SibSp</th>\n",
       "      <td>0.589744</td>\n",
       "      <td>0.826087</td>\n",
       "      <td>0.192308</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0.64</td>\n",
       "      <td>SibSp</td>\n",
       "      <td>0.45</td>\n",
       "      <td>0.68</td>\n",
       "      <td>[3]</td>\n",
       "      <td>[0.0]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>Family</td>\n",
       "      <td>[3, 4]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Parch</th>\n",
       "      <td>0.410256</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>-0.205128</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0.64</td>\n",
       "      <td>Parch</td>\n",
       "      <td>0.64</td>\n",
       "      <td>0.80</td>\n",
       "      <td>[4]</td>\n",
       "      <td>[0.0]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>Family</td>\n",
       "      <td>[3, 4]</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             CI        CU     Cinfl outname  outval feature  ymin  ymax  \\\n",
       "SibSp  0.589744  0.826087  0.192308     Yes    0.64   SibSp  0.45  0.68   \n",
       "Parch  0.410256  0.000000 -0.205128     Yes    0.64   Parch  0.64  0.80   \n",
       "\n",
       "      inputs invals  neutralCU target_concept target_inputs  \n",
       "SibSp    [3]  [0.0]        0.5         Family        [3, 4]  \n",
       "Parch    [4]  [0.0]        0.5         Family        [3, 4]  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x150 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res = CIU_titanic.explain(new_passenger, output_inds=1, target_concept=\"Family\", nsamples=1000)\n",
    "display(res)\n",
    "CIU_titanic.plot_ciu(res, figsize=(6,1.5), main=\"Explained concept is Family\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Same thing but with re-using the already calculated CIU result for \"Family\". Remark: The \"target_ciu\" must have been obtained for the same \"output_inds\" parameter value as in this call!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "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>CI</th>\n",
       "      <th>CU</th>\n",
       "      <th>Cinfl</th>\n",
       "      <th>outname</th>\n",
       "      <th>outval</th>\n",
       "      <th>feature</th>\n",
       "      <th>ymin</th>\n",
       "      <th>ymax</th>\n",
       "      <th>inputs</th>\n",
       "      <th>invals</th>\n",
       "      <th>neutralCU</th>\n",
       "      <th>target_concept</th>\n",
       "      <th>target_inputs</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>SibSp</th>\n",
       "      <td>0.589744</td>\n",
       "      <td>0.826087</td>\n",
       "      <td>0.192308</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0.64</td>\n",
       "      <td>SibSp</td>\n",
       "      <td>0.45</td>\n",
       "      <td>0.68</td>\n",
       "      <td>[3]</td>\n",
       "      <td>[0.0]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>Family</td>\n",
       "      <td>[3, 4]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Parch</th>\n",
       "      <td>0.410256</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>-0.205128</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0.64</td>\n",
       "      <td>Parch</td>\n",
       "      <td>0.64</td>\n",
       "      <td>0.80</td>\n",
       "      <td>[4]</td>\n",
       "      <td>[0.0]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>Family</td>\n",
       "      <td>[3, 4]</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             CI        CU     Cinfl outname  outval feature  ymin  ymax  \\\n",
       "SibSp  0.589744  0.826087  0.192308     Yes    0.64   SibSp  0.45  0.68   \n",
       "Parch  0.410256  0.000000 -0.205128     Yes    0.64   Parch  0.64  0.80   \n",
       "\n",
       "      inputs invals  neutralCU target_concept target_inputs  \n",
       "SibSp    [3]  [0.0]        0.5         Family        [3, 4]  \n",
       "Parch    [4]  [0.0]        0.5         Family        [3, 4]  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x150 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res = CIU_titanic.explain(new_passenger, output_inds=1, target_concept=\"Family\", target_ciu=top_res, nsamples=1000)\n",
    "display(res)\n",
    "CIU_titanic.plot_ciu(res, figsize=(6,1.5), main=\"Explained concept is Family\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x150 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CIU_titanic.plot_influence(res, figsize=(6,1.5), main=\"Explained concept is Family\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "The explained value is ***Family*** for output ***Yes***, which has **low importance (CI=0.39)** and **lower than average utility (CU=0.49)**.<br>Feature *SibSp* has **normal importance (CI=0.59)** and has value(s) 0.0, which is **high utility (CU=0.83)**<br>Feature *Parch* has **normal importance (CI=0.41)** and has value(s) 0.0, which is **low utility (CU=0.00)**<br>"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Markdown\n",
    "markdown_text = CIU_titanic.textual_explanation(res, target_ciu=top_res, use_markdown_effects=True)\n",
    "Markdown(markdown_text)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CIU_titanic.plot_3D([2,4], ind_output=1, azim=-50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CIU_titanic.plot_3D([2,6], ind_output=1, nbr_pts=(40,3), azim=-50)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}