BostonTests.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# CIU execution with Boston data set and XGB model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook shows how to use CIU for explaining why a residence is estimated to be expensive or not, as estimated by a Gradient Boosting model trained on the Boston Housing data set. \n",
    "\n",
    "We start by some necessary imports:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib as plt\n",
    "import xgboost as xgb\n",
    "import ciu"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then we import and prepare the data as a Pandas DataFrame: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<>:2: SyntaxWarning: invalid escape sequence '\\s'\n",
      "<>:2: SyntaxWarning: invalid escape sequence '\\s'\n",
      "/var/folders/65/868tj1315js3sr7vp6rnvvs00000gp/T/ipykernel_61561/3349247056.py:2: SyntaxWarning: invalid escape sequence '\\s'\n",
      "  raw_df = pd.read_csv(data_url, sep=\"\\s+\", skiprows=22, header=None)\n"
     ]
    }
   ],
   "source": [
    "data_url = \"http://lib.stat.cmu.edu/datasets/boston\"\n",
    "raw_df = pd.read_csv(data_url, sep=\"\\s+\", skiprows=22, header=None)\n",
    "data = np.hstack([raw_df.values[::2, :], raw_df.values[1::2, :2]])\n",
    "boston_target = raw_df.values[1::2, 2]\n",
    "\n",
    "boston_data = pd.DataFrame(data)\n",
    "boston_data.columns = ['CRIM', 'ZN', 'INDUS', 'CHAS', 'NOX', 'RM', 'AGE', 'DIS', 'RAD', 'TAX', 'PTRATIO', 'B', 'LSTAT']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then we train the Gradient Boosting model: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-1 {color: black;}#sk-container-id-1 pre{padding: 0;}#sk-container-id-1 div.sk-toggleable {background-color: white;}#sk-container-id-1 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-1 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-1 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-1 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-1 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-1 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-1 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-1 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-1 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-1 div.sk-item {position: relative;z-index: 1;}#sk-container-id-1 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-1 div.sk-item::before, #sk-container-id-1 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-1 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-1 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-1 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-1 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-1 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-1 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-1 div.sk-label-container {text-align: center;}#sk-container-id-1 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-1 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>XGBRegressor(alpha=10, base_score=None, booster=None, callbacks=None,\n",
       "             colsample_bylevel=None, colsample_bynode=None,\n",
       "             colsample_bytree=0.3, device=None, early_stopping_rounds=None,\n",
       "             enable_categorical=False, eval_metric=None, feature_types=None,\n",
       "             gamma=None, grow_policy=None, importance_type=None,\n",
       "             interaction_constraints=None, learning_rate=0.1, max_bin=None,\n",
       "             max_cat_threshold=None, max_cat_to_onehot=None,\n",
       "             max_delta_step=None, max_depth=5, max_leaves=None,\n",
       "             min_child_weight=None, missing=nan, monotone_constraints=None,\n",
       "             multi_strategy=None, n_estimators=10, n_jobs=None,\n",
       "             num_parallel_tree=None, ...)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">XGBRegressor</label><div class=\"sk-toggleable__content\"><pre>XGBRegressor(alpha=10, base_score=None, booster=None, callbacks=None,\n",
       "             colsample_bylevel=None, colsample_bynode=None,\n",
       "             colsample_bytree=0.3, device=None, early_stopping_rounds=None,\n",
       "             enable_categorical=False, eval_metric=None, feature_types=None,\n",
       "             gamma=None, grow_policy=None, importance_type=None,\n",
       "             interaction_constraints=None, learning_rate=0.1, max_bin=None,\n",
       "             max_cat_threshold=None, max_cat_to_onehot=None,\n",
       "             max_delta_step=None, max_depth=5, max_leaves=None,\n",
       "             min_child_weight=None, missing=nan, monotone_constraints=None,\n",
       "             multi_strategy=None, n_estimators=10, n_jobs=None,\n",
       "             num_parallel_tree=None, ...)</pre></div></div></div></div></div>"
      ],
      "text/plain": [
       "XGBRegressor(alpha=10, base_score=None, booster=None, callbacks=None,\n",
       "             colsample_bylevel=None, colsample_bynode=None,\n",
       "             colsample_bytree=0.3, device=None, early_stopping_rounds=None,\n",
       "             enable_categorical=False, eval_metric=None, feature_types=None,\n",
       "             gamma=None, grow_policy=None, importance_type=None,\n",
       "             interaction_constraints=None, learning_rate=0.1, max_bin=None,\n",
       "             max_cat_threshold=None, max_cat_to_onehot=None,\n",
       "             max_delta_step=None, max_depth=5, max_leaves=None,\n",
       "             min_child_weight=None, missing=nan, monotone_constraints=None,\n",
       "             multi_strategy=None, n_estimators=10, n_jobs=None,\n",
       "             num_parallel_tree=None, ...)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "np.random.seed(26) # We want to always get the same Random Forest model here.\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(boston_data, boston_target, test_size=0.3, random_state=123)\n",
    "boston_xgb_model = xgb.XGBRegressor(objective ='reg:squarederror', colsample_bytree = 0.3, learning_rate = 0.1,max_depth = 5, alpha = 10, n_estimators = 10)\n",
    "boston_xgb_model.fit(X_train,y_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then we chooose the most expensive instance from the test set according to the XGB model for which we want to explain why it is expensive:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Instance 17 in the test set has a real price of $43 and a predicted price of $34\n",
      "The instance values are:\n",
      "        CRIM    ZN  INDUS  CHAS    NOX    RM   AGE     DIS  RAD    TAX  \\\n",
      "261  0.53412  20.0   3.97   0.0  0.647  7.52  89.4  2.1398  5.0  264.0   \n",
      "\n",
      "     PTRATIO       B  LSTAT  \n",
      "261     13.0  388.37   7.26  \n"
     ]
    }
   ],
   "source": [
    "pred_test_prices = boston_xgb_model.predict(X_test)\n",
    "inst_ind = np.argmax(pred_test_prices) # Test set instance with highest price estimate, so we expect a \"positive\" explanation.\n",
    "instance = X_test.iloc[[inst_ind]]\n",
    "inst_val = y_test[inst_ind]\n",
    "pred = boston_xgb_model.predict(instance)[0]\n",
    "print(f\"Instance {inst_ind} in the test set has a real price of ${inst_val:.0f} and a predicted price of ${pred:.0f}\")\n",
    "print(f\"The instance values are:\\n{instance}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to know what is expensive and what is not, we extract the minimal and maximal prices from the training set. That also defines the \"utility\" of a given price, where in this case a higher price corresponds to a higher utility."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The minimal price in the training set is $5 and the maximal price is $50\n"
     ]
    }
   ],
   "source": [
    "out_minmaxs = pd.DataFrame({'mins': [min(y_train)], 'maxs': max(y_train)})\n",
    "out_minmaxs.index = ['Price']\n",
    "print(f\"The minimal price in the training set is ${min(y_train):.0f} and the maximal price is ${max(y_train):.0f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can go ahead and create the CIU model and get an explanation for this instance. To begin with, we just display the DataFrame that is returned by the ``explain`` method, which contains all the relevant values for a CIU result/explanation. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "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>CRIM</th>\n",
       "      <td>0.056011</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.028006</td>\n",
       "      <td>Price</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>CRIM</td>\n",
       "      <td>31.502943</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>[0]</td>\n",
       "      <td>[0.53412]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ZN</th>\n",
       "      <td>0.009911</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.004956</td>\n",
       "      <td>Price</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>ZN</td>\n",
       "      <td>33.577450</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>[1]</td>\n",
       "      <td>[20.0]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>INDUS</th>\n",
       "      <td>0.057076</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.028538</td>\n",
       "      <td>Price</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>INDUS</td>\n",
       "      <td>31.455057</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>[2]</td>\n",
       "      <td>[3.97]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CHAS</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>-0.000000</td>\n",
       "      <td>Price</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>CHAS</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>34.023457</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>NOX</th>\n",
       "      <td>0.048834</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.024417</td>\n",
       "      <td>Price</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>NOX</td>\n",
       "      <td>31.825907</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>[4]</td>\n",
       "      <td>[0.647]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RM</th>\n",
       "      <td>0.074986</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.037493</td>\n",
       "      <td>Price</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>RM</td>\n",
       "      <td>30.649109</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>[5]</td>\n",
       "      <td>[7.52]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AGE</th>\n",
       "      <td>0.046000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.023000</td>\n",
       "      <td>Price</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>AGE</td>\n",
       "      <td>31.953468</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>[6]</td>\n",
       "      <td>[89.4]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DIS</th>\n",
       "      <td>0.051620</td>\n",
       "      <td>0.904325</td>\n",
       "      <td>0.020871</td>\n",
       "      <td>Price</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>DIS</td>\n",
       "      <td>31.922781</td>\n",
       "      <td>34.245701</td>\n",
       "      <td>[7]</td>\n",
       "      <td>[2.1398]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RAD</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>-0.000000</td>\n",
       "      <td>Price</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>RAD</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>[8]</td>\n",
       "      <td>[5.0]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TAX</th>\n",
       "      <td>0.043273</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.021636</td>\n",
       "      <td>Price</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>TAX</td>\n",
       "      <td>32.076191</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>[9]</td>\n",
       "      <td>[264.0]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PTRATIO</th>\n",
       "      <td>0.040333</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.020166</td>\n",
       "      <td>Price</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>PTRATIO</td>\n",
       "      <td>32.208485</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>[10]</td>\n",
       "      <td>[13.0]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>B</th>\n",
       "      <td>0.046000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.023000</td>\n",
       "      <td>Price</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>B</td>\n",
       "      <td>31.953468</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>[11]</td>\n",
       "      <td>[388.37]</td>\n",
       "      <td>0.5</td>\n",
       "      <td>None</td>\n",
       "      <td>None</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LSTAT</th>\n",
       "      <td>0.107049</td>\n",
       "      <td>0.792038</td>\n",
       "      <td>0.031262</td>\n",
       "      <td>Price</td>\n",
       "      <td>34.023457</td>\n",
       "      <td>LSTAT</td>\n",
       "      <td>30.208048</td>\n",
       "      <td>35.025249</td>\n",
       "      <td>[12]</td>\n",
       "      <td>[7.26]</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",
       "CRIM     0.056011  1.000000  0.028006   Price  34.023457     CRIM  31.502943   \n",
       "ZN       0.009911  1.000000  0.004956   Price  34.023457       ZN  33.577450   \n",
       "INDUS    0.057076  1.000000  0.028538   Price  34.023457    INDUS  31.455057   \n",
       "CHAS     0.000000  0.000000 -0.000000   Price  34.023457     CHAS  34.023457   \n",
       "NOX      0.048834  1.000000  0.024417   Price  34.023457      NOX  31.825907   \n",
       "RM       0.074986  1.000000  0.037493   Price  34.023457       RM  30.649109   \n",
       "AGE      0.046000  1.000000  0.023000   Price  34.023457      AGE  31.953468   \n",
       "DIS      0.051620  0.904325  0.020871   Price  34.023457      DIS  31.922781   \n",
       "RAD      0.000000  0.000000 -0.000000   Price  34.023457      RAD  34.023457   \n",
       "TAX      0.043273  1.000000  0.021636   Price  34.023457      TAX  32.076191   \n",
       "PTRATIO  0.040333  1.000000  0.020166   Price  34.023457  PTRATIO  32.208485   \n",
       "B        0.046000  1.000000  0.023000   Price  34.023457        B  31.953468   \n",
       "LSTAT    0.107049  0.792038  0.031262   Price  34.023457    LSTAT  30.208048   \n",
       "\n",
       "              ymax inputs     invals  neutralCU target_concept target_inputs  \n",
       "CRIM     34.023457    [0]  [0.53412]        0.5           None          None  \n",
       "ZN       34.023457    [1]     [20.0]        0.5           None          None  \n",
       "INDUS    34.023457    [2]     [3.97]        0.5           None          None  \n",
       "CHAS     34.023457    [3]      [0.0]        0.5           None          None  \n",
       "NOX      34.023457    [4]    [0.647]        0.5           None          None  \n",
       "RM       34.023457    [5]     [7.52]        0.5           None          None  \n",
       "AGE      34.023457    [6]     [89.4]        0.5           None          None  \n",
       "DIS      34.245701    [7]   [2.1398]        0.5           None          None  \n",
       "RAD      34.023457    [8]      [5.0]        0.5           None          None  \n",
       "TAX      34.023457    [9]    [264.0]        0.5           None          None  \n",
       "PTRATIO  34.023457   [10]     [13.0]        0.5           None          None  \n",
       "B        34.023457   [11]   [388.37]        0.5           None          None  \n",
       "LSTAT    35.025249   [12]     [7.26]        0.5           None          None  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CIU = ciu.CIU(boston_xgb_model.predict, ['Price'], data=X_train, out_minmaxs=out_minmaxs)\n",
    "CIUres = CIU.explain(instance)\n",
    "display(CIUres)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This becomes more \"visual\" as a bar plot. Since the CI values are quite small, we give a value to the ``CImax`` parameter so that the bars don't get too short. This plot illustrates the CU (\"how good\") value using a red-to-green color scale. The color scale can be changed with the ``color_blind`` parameter. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x400 with 2 Axes>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlIAAAF4CAYAAACfABe+AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAABYWklEQVR4nO3deVxU9f4/8Nc5IDOCskkK6CQKEm6pUZi2qAWhFabXcsEFTC1zyUJNMXPrGqampJJaDpL3d11a1NzCiOJqpXLTMC33XKgAU0Bg1EGZ8/vDy3wbAYVhljNzXs/HYx4yZ87yfqPIaz7nM+cIkiRJICIiIqI6E+1dABEREZGjYpAiIiIiMhODFBEREZGZGKSIiIiIzMQgRURERGQmBikiIiIiMzFIEREREZmJQYqIiIjITAxSRERERGZikCIiIiIyE4MUERERmdizZw9iYmIQGBgIQRCwdevWu26TlZWFBx54ACqVCiEhIUhLS7N6nXLAIEVEREQmdDodOnXqhJSUlFqtf/bsWTzzzDPo1asXcnJy8Nprr2H06NHYvXu3lSu1P4E3LSYiIqKaCIKALVu2oF+/fjWuM23aNOzcuRNHjx41Lhs8eDCKi4uRnp5ugyrtx9XeBSidwWDAn3/+icaNG0MQBHuXQ0REZpIkCaWlpQgMDIQoWv6Ez/Xr11FeXm729pIkVfk9o1KpoFKp6lsa9u3bh8jISJNl0dHReO211+q9b7ljkLKzP//8ExqNxt5lEBGRheTm5qJFixYW3ef169fR8J6GQJn5+2jUqBHKykx3MHv2bMyZM6d+xQHIz89Hs2bNTJY1a9YMJSUluHbtGho2bFjvY8gVg5SdNW7cGMCtiX0eHh52rsb2BEFAcHAwzpw5A6WdZVZy74Cy+1dy74Dz9l9WVoYePXoY/1+3pPLycqAMEBIAmDOApAfKlpQhNzcXnp6exsWWGI1SOgYpO6scZm3UqJEig5QoivD09ETjxo1hMBjsXY5NKbl3QNn9K7l3wPn7t+Y0DVENCOq6bycJQAUAT09PkyBlKf7+/igoKDBZVlBQAE9PT6cejQIYpIiIiByGKADm5LTKIGUt3bp1w65du0yWZWRkoFu3blY8qjzw8gdERERkoqysDDk5OcjJyQFw6/IGOTk5uHDhAgAgMTERI0aMMK4/duxY/Pbbb3jjjTdw/PhxfPDBB/jkk0/w+uuv26N8m+KIFBERkYOoz4hUXfz444/o1auX8XlCQgIAIC4uDmlpacjLyzOGKgBo1aoVdu7ciddffx3vv/8+WrRogTVr1iA6OrruxToYBikiIiIHYasg1bNnzzt+EKC6q5b37NkTP/30Ux0rc3wMUkRERA7CVkGKao9BioiIyEEwSMkPgxQREZGDYJCSH35qj4iIiMhMHJEiIiJyEByRkh8GKSIiIgchCLfCVF0ZGKSshkFKJoqKiqDX6+1dhs2Jooi8vDwUFhY65a0i7kTJvQPK7l/JvQPW7V+lUjn17bZEM4MUGKSshkFKJjIyMqBWm3EDJSIiMhJdBDz7TIzThikGKflhkJKJklbbcNWnyN5lEBE5LJfrfvD6bQD0ej2D1O0YpKyGQUomKlSXAY+Cu69IREREssEgRURE5CA4IiU/DFJEREQOgkFKfhz+gpzx8fHo169fta8dPnwYffv2RdOmTaFWqxEUFIRBgwbh4sWLmDNnDgRBuOOj0oYNG+Di4oLx48cbl/Xs2fOO2/bs2dPKnRMRkdJUBilzHmQdDh+kavLXX3/hySefhK+vL3bv3o1jx45h7dq1CAwMhE6nw5QpU5CXl2d8tGjRAvPmzTNZVkmr1eKNN97Ahg0bcP36dQDA5s2bjetlZ2cDAL7++mvjss2bN9ulbyIicl4MUvLjtKf2vv/+e1y5cgVr1qyBq+utNlu1aoVevXoZ12nUqJHxaxcXFzRu3Bj+/v4m+zl79ix++OEHfP755/j222+xefNmxMbGwtfX17hOZbhq0qRJle1vp9frTa4XVVJSYn6TRERUhSiKEEXbjxMI5lxyvI5EMBTJjdMGKX9/f9y8eRNbtmzB888/b/Y/8LVr1+KZZ56Bl5cXhg0bBq1Wi9jYWLPrSkpKwty5c83enoiI7kyj0SAgIMDmx+UbY2Vy2iD18MMPY8aMGYiNjcXYsWMRERGBJ554AiNGjECzZs1qtQ+DwYC0tDQsX74cADB48GBMnjwZZ8+eRatWrcyqKzExEQkJCcbnJSUl0Gg0Zu2LiIiqys3NhU6ns/lxS0tLrX4Mc28Rw3vtWY/TzpECgPnz5yM/Px+rVq1C+/btsWrVKoSFheHIkSO12j4jIwM6nQ5PP/00AMDPzw9RUVFITU01uyaVSgVPT0+TBxERWY7BYLDLQ5Ikq/fGOVLy49RBCrg1b+mFF17A4sWLcezYMQQGBmLx4sW12lar1aKwsBANGzaEq6srXF1dsWvXLnz88ceKvD8WERHZF4OU/Djtqb3quLm5ITg4uFZDvpcvX8YXX3yBjRs3on379sblFRUVePTRR/HVV1+hd+/e1iyXiIjIhLmhiKf2rMcpgtSVK1eQk5NjsuzIkSPYvXs3Bg8ejNDQUEiShO3bt2PXrl1Yu3btXff5r3/9C02aNMHAgQOrTFR/+umnodVqGaSIiMimGKTkxymCVFZWFrp06WKyrFevXggJCcHkyZORm5sLlUqFNm3aYM2aNRg+fPhd95mamor+/ftX+2m/AQMGYPjw4bh06RL8/Pws1gcRERE5FocPUmlpaUhLS6v3fs6dO2fy/Oeff65x3YEDB2LgwIHG50FBQTaZZEhERMrGESn5cfgg5Sxc9E3gqnP6uf9ERFbjct35zxAwSMkPg5RMeJ7tC3We2t5lEBE5NNFFgEqlsncZVsMgJT8MUjIRFRUFd3d3e5dhc6IoQqPRIDc3V3GXlFBy74Cy+1dy74B1+1epVPDw8LDoPuWEQUp+GKRkwsfHx6l/+GsiiiICAgKg0+kU9wtFyb0Dyu5fyb0D7L8+zL2yuYFBymo4KYeIiIjITByRkomioiLo9Xp7l2FzoigiLy8PhYWFintnquTeAcfv39lPIZE8mXtqj1c2tx4GKZnIyMiAWs3J5kSOQhAFxDwbwzBFNsUgJT8MUjKxDdtQhCJ7l0FEteAHPwwwDIBer2eQIptikJIfBimZuIzLKECBvcsgIiIZY5CSHwYpIiIiB8EgJT/81B4RERGRmRik/iY+Ph6CIEAQBDRo0ACtWrXCG2+8gevXrxvXqXx9//79Jtvq9Xo0adIEgiAgKyvLxpUTEZESVI5ImfMg62CQuk3v3r2Rl5eH3377DUuXLsXq1asxe/Zsk3U0Gg3Wrl1rsmzLli1o1KiRLUslIiKFYZCSHwap26hUKvj7+0Oj0aBfv36IjIxERkaGyTpxcXHYuHEjrl27ZlyWmpqKuLi4u+5fr9ejpKTE5EFEjkkURbMegnDrt5ogCGbvw5Efztp/ZV9W/TcHM4OU1StTLk42v4OjR4/ihx9+QMuWLU2Wh4eHIygoCJ9//jmGDRuGCxcuYM+ePUhJScHbb799x30mJSVh7ty51iybiGxEo9EgICDA7O2Dg4MtWI3jcbb+bfHG2NxbxNgg4ykWg9RtduzYgUaNGuHmzZvQ6/UQRRErVqyost6LL76I1NRUDBs2DGlpaXj66adxzz333HX/iYmJSEhIMD4vKSmBRqOxaA9EZBu5ubnQ6XR13k4QBAQHB+PMmTOQJMkKlcmbs/ZfWlpq9WPwU3vywyB1m169emHlypXQ6XRYunQpXF1dMWDAgCrrDRs2DNOnT8dvv/2GtLQ0LFu2rFb7V6lUUKlUli6biOzAYDCYdXsbUbx1okWSJIe8PU59OWv/zhQKqfZ42vQ2Hh4eCAkJQadOnZCamooDBw5Aq9VWWa9JkyZ49tlnMWrUKFy/fh19+vSxQ7VERKQknGwuPwxSdyCKImbMmIGZM2eaTCyv9OKLLyIrKwsjRoyAi4uLHSokIiIlYZCSHwapu3jhhRfg4uKClJSUKq/17t0bf/31F+bNm2eHyoiISGkYpOSHQeouXF1dMWHCBCxcuLDKpFJBEODn5wc3Nzc7VUdERErCICU/nGz+N2lpadUunz59OqZPnw7gzpMJvb29OdmQiIishp/akx8GKZlogiYQOUBI5BD84GfvEohIJhikZKIv+kINtb3LIKJaEkSBlzIhm+OIlPwwSMlEVFQU3N3d7V2GzYmiCI1Gg9zcXKe6nkxtKLl3wPH7V6lU8PDwsHcZpDAMUvLDICUTPj4+ivxPWRRFBAQEQKfTOeQv0/pQcu8A+ycyB28RIz8MUjJRVFQEvV5v7zJsThRF5OXlobCwUHG/TJ25d47WEFkHR6Tkh0FKJjIyMqBWc44UOQdBFBDzbAzDFJGFMUjJD4OUTGzDNhShyN5lENWbH/wwwDAAer2eQYrIgaWkpGDRokXIz89Hp06dsHz5ckRERNS4fnJyMlauXIkLFy7Az88Pzz//PJKSkpx+kIBBSiYu4zIKUGDvMoiISMZsNSK1adMmJCQkYNWqVejatSuSk5MRHR2NEydOoGnTplXWX79+PaZPn47U1FR0794dJ0+eRHx8PARBwJIlS+pesAPhhYuIiIgcRH2vbF5SUmLyqGlu7pIlSzBmzBiMHDkS7dq1w6pVq+Du7o7U1NRq1//hhx/wyCOPIDY2FkFBQXjqqacwZMgQZGdnW+tbIRsMUkRERA6ivkFKo9HAy8vL+EhKSqpyjPLychw8eBCRkZH/d1xRRGRkJPbt21dtXd27d8fBgweNwem3337Drl278PTTT1v+myAzPLVHRETkIOp7ai83Nxeenp7G5dVdVPbSpUuoqKhAs2bNTJY3a9YMx48fr3b/sbGxuHTpEh599FFIkoSbN29i7NixmDFjRt2LdTAOOSIVHx+Pfv36Gb8WBAELFiwwWWfr1q0Q/nbhjKysLAiCAEEQIIoivLy80KVLF7zxxhvIy8urcf9/V7mP4uJiAEBFRQUWLFiAsLAwNGzYEL6+vujatSvWrFlj0X6JiIiA+o9IeXp6mjwsdXX+rKwsvPPOO/jggw9w6NAhbN68GTt37sTbb79tkf3LmVOMSKnVarz77rt4+eWX4ePjc8d1T5w4AU9PT5SUlODQoUNYuHAhtFotsrKy0LFjxzodd+7cuVi9ejVWrFiBBx98ECUlJfjxxx9RVMRP3xERkWPy8/ODi4sLCgpMPwBVUFAAf3//ard56623MHz4cIwePRoA0LFjR+h0Orz00kt48803IYoOOW5TK04RpCIjI3H69GkkJSVh4cKFd1y3adOm8Pb2hr+/P0JDQ/Hcc8+hS5cueOWVV/Ddd9/V6bjbtm3DuHHj8MILLxiXderU6Y7b6PV6k8l9JSUldTomkaMQRfGO/3lWjhhXjhIriZJ7B5y3f8EGlw+3xaf23NzcEB4ejszMTOPZGYPBgMzMTEyYMKHaba5evVrl79LFxQUAIElS3Qt2IE4RpFxcXPDOO+8gNjYWr776Klq0aFHrbRs2bIixY8fi9ddfx8WLF6v9WGdN/P398c0332DcuHG45557arVNUlIS5s6dW+tjEDkqjUaDgICAu64XHBxsg2rkScm9A87Xvy3eGAsw8xYxdVw/ISEBcXFxePDBBxEREYHk5GTodDqMHDkSADBixAg0b97cOFk9JiYGS5YsQZcuXdC1a1ecPn0ab731FmJiYoyBylk5RZACgP79+6Nz586YPXs2tFptnbYNCwsDAJw7d65OQWrJkiV4/vnn4e/vj/bt26N79+547rnn0KdPnxq3SUxMREJCgvF5SUkJNBpNneolcgS5ubnQ6XQ1vi4IAoKDg3HmzBmnf8d6OyX3Djhv/6WlpVY/hq2uIzVo0CD89ddfmDVrFvLz89G5c2ekp6cbJ6BfuHDBZARq5syZEAQBM2fOxB9//IF77rkHMTExmD9/ft2LdTBOE6QA4N1338UTTzyBKVOm1Gm7yh/kug7LtmvXDkePHsXBgwfx/fffY8+ePYiJiUF8fHyNE85VKpXFJvcRyZnBYLjjPQQr/xOWJMnp7jV4N0ruHXDe/m0RCm15i5gJEybUeCovKyvL5Lmrqytmz56N2bNn1/1ADs55Tk4DePzxxxEdHY3ExMQ6bXfs2DEAQFBQEIBbn2q4cuVKlfWKi4vh4uJictsLURTx0EMP4bXXXsPmzZuRlpYGrVaLs2fPmt8IEREROQSnGpECgAULFqBz58647777arX+tWvX8OGHH+Lxxx83znO67777sHHjRuj1epPRo0OHDqFVq1Zo0KBBjftr164dANzxlAYREZE5eNNi+XGqESng1kcuhw4dimXLllX7+sWLF5Gfn49Tp05h48aNeOSRR3Dp0iWsXLnSuM7QoUMhCAJGjBiBgwcP4vTp00hNTUVycjImT55sXO/555/H0qVLceDAAZw/fx5ZWVkYP348QkNDjfOuiIiILKW+15Eiy3O6IAUA8+bNq/G8+3333YfAwECEh4djwYIFiIyMxNGjR40jSQDg7e2NvXv34saNG+jbty86d+6MZcuWYcmSJXj55ZeN60VHR2P79u2IiYlBaGgo4uLiEBYWhq+++gqurk432EdERHbGICU/DvnbPi0trdqvKwUFBVW5EWPPnj3rNBEwNDQUmzdvvuM6Y8aMwZgxY2q9TyIiovrgqT35ccgg5YyaoAlE5xwgJIXxg5+9SyByWgxS8sMgJRN90RdqqO1dBpFFCKLAy3wQkSIwSMlEVFQU3N3d7V2GzYmiCI1Gg9zcXKe6nkxtOHPvKpXK5DIhRGQZHJGSHwYpmfDx8VHkLx5RFBEQEACdTud0YeJulNw7EZlHMDNI2eA2gIrFICUTRUVFVSbIK4EoisjLy0NhYaHiwoSz9c5RKCLr44iU/DBIyURGRgbUas6RIscliAJino1hmCKyIgYp+WGQkolt2IYiFNm7DCKz+MEPAwwDoNfrGaSIrIhBSn4YpGTiMi6jAAX2LoOIiIjqgEGKiIjIQXBESn4YpIiIiBwEg5T8OPWltPPz8zFx4kS0bt0aKpUKGo0GMTExyMzMBHDrVjKCIEAQBLi7u6Njx45Ys2aNyT6ysrIgCAKKi4tNnvv4+OD69esm6/73v/817o+IiMjSeK89+XHaIHXu3DmEh4fjm2++waJFi3DkyBGkp6ejV69eGD9+vHG9efPmIS8vD0ePHsWwYcMwZswYfPnll3fdf+PGjbFlyxaTZVqtFvfee6/FeyEiIgIYpOTIaYPUuHHjIAgCsrOzMWDAAISGhqJ9+/ZISEjA/v37jes1btwY/v7+aN26NaZNmwZfX19kZGTcdf9xcXFITU01Pr927Ro2btyIuLg4q/RDRETEICU/TjlHqrCwEOnp6Zg/f361H8X29vaussxgMGDLli0oKiqCm5vbXY8xfPhwLFq0CBcuXMC9996Lzz//HEFBQXjggQfuuJ1erze58GZJScndGyJyEKIoQhRr9/6s8hS4IAi13sZZKLl3wHn757QOZXLKIHX69GlIkoSwsLC7rjtt2jTMnDkTer0eN2/ehK+vL0aPHn3X7Zo2bYo+ffogLS0Ns2bNQmpqKl588cW7bpeUlIS5c+fWqg8iR6PRaBAQEFCnbYKDg61UjfwpuXfA+fq3xRtjAWbeIsbilVAlpwxSkiTVet2pU6ciPj4eeXl5mDp1KsaNG4eQkJBabfviiy9i0qRJGDZsGPbt24dPP/0Ue/fuveM2iYmJSEhIMD4vKSmBRqOpdb1EcpabmwudTlerdQVBQHBwMM6cOVOnn1lnoOTeAeftv7S01OrH4Kf25Mcpg1SbNm0gCAKOHz9+13X9/PwQEhKCkJAQfPrpp+jYsSMefPBBtGvX7q7b9unTBy+99BJGjRqFmJgYNGnS5K7bqFQqqFSqWvVB5GgMBkOt7xtYeUpHkiSnuNdgXSi5d8B5+7dFKGSQkh/nOTn9N76+voiOjkZKSkq1744rL2VwO41Gg0GDBiExMbFWx3F1dcWIESOQlZVVq9N6RERE9cHJ5vLjlEEKAFJSUlBRUYGIiAh8/vnnOHXqFI4dO4Zly5ahW7duNW43adIkbN++HT/++GOtjvP222/jr7/+QnR0tKVKJyIiqhaDlPw4bZBq3bo1Dh06hF69emHy5Mno0KEDoqKikJmZiZUrV9a4Xbt27fDUU09h1qxZtTqOm5sb/Pz8+GkNIiIiBXLKOVKVAgICsGLFCqxYsaLa18+dO1ft8vT0dOPXPXv2NDnvffvz2/Xr18+pJk8SEZF8cI6U/Dh1kCIiInImDFLywyAlE03QBKLznmklJ+cHP3uXQKQIDFLywyAlE33RF2qo7V0GkdkEUeClPYisjEFKfhikZCIqKgru7u72LsPmRFGERqNBbm6uU11PpjacrXeVSlXtLZmIyHIEM4MUPw9lPQxSMuHj46PIX0KiKCIgIAA6nc4pwkRdKLl3IiJnwSAlE0VFRSY3M1YKURSRl5eHwsJCxYUJufbOkSUi+eKpPflhkJKJjIwMqNWcI0X2J7gIiHkmhmGKSIYYpOSHQUomfvLahuuNiuxdBilc45t+ePDKAOj1egYpIhlikJIfBimZKHO5DF2DAnuXQUREMsYgJT8MUkRERA6CQUp+eAVIIiIiIjMxSAGIj4+HIAgQBAENGjRAs2bNEBUVhdTUVJNPUwUFBSE5Odn4/PDhw+jbty+aNm0KtVqNoKAgDBo0CBcvXrRDF0RE5OwqR6TMeZB1MEj9T+/evZGXl4dz587hyy+/RK9evTBp0iQ8++yzuHnzZpX1//rrLzz55JPw9fXF7t27cezYMaxduxaBgYHQ6XR26ICIiJwdg5T8cI7U/6hUKvj7+wMAmjdvjgceeAAPP/wwnnzySaSlpWH06NEm63///fe4cuUK1qxZA1fXW9/GVq1aoVevXjavnYiIlIFzpOSHQeoOnnjiCXTq1AmbN2+uEqT8/f1x8+ZNbNmyBc8//zyEWl5/X6/Xm1x4s6SkxKI1E1mCKIoQResOWFf+zAiCYPVjyY2Sewect//a/h6oDxFmBimLV0KVGKTuIiwsDD///HOV5Q8//DBmzJiB2NhYjB07FhEREXjiiScwYsQINGvWrMb9JSUlYe7cudYsmajeNBoNAgICbHKs4OBgmxxHjpTcO+B8/dvijTHvtSc/DFJ3IUlSje8y5s+fj4SEBHzzzTc4cOAAVq1ahXfeeQd79uxBx44dq90mMTERCQkJxuclJSXQaDRWqZ3IXLm5uVaf6ycIAoKDg3HmzBlIkmTVY8mNknsHnLf/0tJSe5dAdsAgdRfHjh1Dq1atany9SZMmeOGFF/DCCy/gnXfeQZcuXbB48WJ8/PHH1a6vUqmgUqmsVS6RRRgMBqvf/6/ylI4kSbK616AtKLl3wHn7t0Uo5Bwp+eFp0zv45ptvcOTIEQwYMKBW67u5uSE4OJif2iMiIqvgp/bkhyNS/6PX65Gfn4+KigoUFBQgPT0dSUlJePbZZzFixIgq6+/YsQMbN27E4MGDERoaCkmSsH37duzatQtr1661QwdEROTsOCIlPwxS/5Oeno6AgAC4urrCx8cHnTp1wrJlyxAXF1ftp0ratWsHd3d3TJ48Gbm5uVCpVGjTpg3WrFmD4cOH26EDIiJydgxS8sMgBSAtLQ1paWl3Xe/cuXPGr1u3bo0PP/zQekURERHdhkFKfjhHioiIiMhMHJGSiUYVTeB6g7mW7KvxTT97l0BEd8ARKflhkJKJLlf6Qq1X27sMIgguAi/RQSRTtgxSKSkpWLRoEfLz89GpUycsX74cERERNa5fXFyMN998E5s3b0ZhYSFatmyJ5ORkPP3003U/uANhkJKJqKgouLu727sMmxNFERqNBrm5uU51PZnakGvvKpUKHh4e9i6DiKphqyC1adMmJCQkYNWqVejatSuSk5MRHR2NEydOoGnTplXWLy8vR1RUFJo2bYrPPvsMzZs3x/nz5+Ht7V33Yh0Mg5RM+Pj4KPKXlyiKCAgIgE6nk1WYsAUl905E5rHVLWKWLFmCMWPGYOTIkQCAVatWYefOnUhNTcX06dOrrJ+amorCwkL88MMPaNCgAQAgKCio7oU6IAYpmSgqKjK5mbFSiKKIvLw8FBYWKi5M2KN3jjYRObb6jkjdfj/A6u62UV5ejoMHDyIxMfH/thdFREZGYt++fdXuf9u2bejWrRvGjx+PL774Avfccw9iY2Mxbdo0uLi41L1gB8IgJRMZGRlQqzlHiqxLEAXEPBvDMEWkULff23X27NmYM2eOybJLly6hoqICzZo1M1nerFkzHD9+vNr9/vbbb/jmm28wdOhQ7Nq1C6dPn8a4ceNw48YNzJ4926I9yA2DlExswzYUocjeZZAT84MfBhgGQK/XM0gROaj6jkjl5ubC09PTuNxSHywxGAxo2rQpPvzwQ7i4uCA8PBx//PEHFi1axCBFtnEZl1GAAnuXQUREMlbfIOXp6WkSpKrj5+cHFxcXFBSY/k4qKCiAv79/tdsEBASgQYMGJqfx2rZti/z8fJSXl8PNza3uRTsIXriIiIjIQdjipsVubm4IDw9HZmamcZnBYEBmZia6detW7TaPPPIITp8+bTLf8+TJkwgICHDqEAVYMEgVFxdbaldERERUDVsEKQBISEjARx99hI8//hjHjh3DK6+8Ap1OZ/wU34gRI0wmo7/yyisoLCzEpEmTcPLkSezcuRPvvPMOxo8fb8n2ZcmsIPXuu+9i06ZNxucDBw5EkyZN0Lx5cxw+fNhixVlafHw8BEHAggULTJZv3boVwt8+G1pRUYGlS5eiY8eOUKvV8PHxQZ8+ffD9998b11m5ciW8vb2Rm5trsq+JEyciNDQUV69etW4zRESkOLYKUoMGDcLixYsxa9YsdO7cGTk5OUhPTzdOQL9w4QLy8vKM62s0GuzevRv//e9/cf/99+PVV1/FpEmTqr1UgrMxK0itWrXKOPM/IyMDGRkZ+PLLL9GnTx9MnTrVogVamlqtxrvvvouiouondkuShMGDB2PevHmYNGkSjh07hqysLGg0GvTs2RNbt24FAIwdOxYREREYNWqUcdvMzEysXLkSaWlpiry4JhEROY8JEybg/Pnz0Ov1OHDgALp27Wp8LSsrC2lpaSbrd+vWDfv378f169dx5swZzJgxw+kvfQCYOdk8Pz/fGKR27NiBgQMH4qmnnkJQUJDJN1qOIiMjcfr0aSQlJWHhwoVVXv/kk0/w2WefYdu2bYiJiTEu//DDD3H58mWMHj0aUVFR8PDwgFarRYcOHbBq1SrExsbixRdfREJCArp3727LloiISCF4rz35MStI+fj4IDc3FxqNBunp6fjnP/8J4NZoTkVFhUULtDQXFxe88847iI2NxauvvooWLVqYvL5+/XqEhoaahKhKkydPxubNm5GRkYF+/fpBo9EgOTkZr776Knbt2oVGjRrh7bffvuPx9Xq9yYU3b784GpG1iaIIUbT/50wqT6cLgiCLemxJyb0Dztu/UNfLh5tBhJlByuKVUCWzgtQ//vEPxMbGok2bNrh8+TL69OkDAPjpp58QEhJi0QKtoX///ujcuTNmz54NrVZr8trJkyfRtm3barerXH7y5EnjspEjR+LDDz/E9u3bceDAgbtekyMpKQlz586tZwdE5tNoNAgICLB3GUbBwcH2LsFulNw74Hz92+KNsa1uEUO1Z1aQWrp0KYKCgpCbm4uFCxeiUaNGAIC8vDyMGzfOogVay7vvvosnnngCU6ZMqfKaJEm13s/hw4dx6NAhuLu7Y+/evXe8MzYAJCYmIiEhwfi8pKSkypVmiawpNzcXOp3O3mVAEAQEBwfjzJkzdfqZcwZK7h1w3v5LS0utfgye2pMfs4JUgwYNqg0gr7/+er0LspXHH38c0dHRSExMRHx8vHF5aGgojh07Vu02lctDQ0MB3Lof0YgRIzB06FD06NEDY8eOxbPPPov77ruvxuNWd18jIlsyGAyyuK9h5SkdSZJkUY8tKbl3wHn7t0UoZJCSH7NPm/7rX//Co48+isDAQJw/fx4AkJycjC+++MJixVnbggULsH37dpObMA4ePBinTp3C9u3bq6z/3nvvoUmTJoiKigIAzJs3D4WFhVi6dCni4uIQFRWFkSNHOtV/DERERFQzs4LUypUrkZCQgD59+qC4uNg4wdzb2xvJycmWrM+qOnbsiKFDh2LZsmXGZYMHD0b//v0RFxcHrVaLc+fO4eeff8bLL7+Mbdu2Yc2aNfDw8MB///tfvPvuu9BqtfDy8gIArF69GidOnMDSpUvt1RIRETkxW11HimrPrCC1fPlyfPTRR3jzzTdNrhHx4IMP4siRIxYrzhbmzZtnMoIkCAI++eQTzJgxA0uXLsV9992Hxx57DOfPn0dWVhb69esHvV6PuLg4jBw5Ek899ZRx24CAACxfvhwzZ87EiRMn7NEOERE5MQYp+TFrjtTZs2fRpUuXKstVKpUsJrHW5PaLhwFAUFCQyeUIAMDV1RVTpkypdh4YcKvPX3/9tdrXYmNjERsbW+9aiYiIbsc5UvJj1ohUq1atkJOTU2V5enp6jZcOICIiovrhiJT8mDUilZCQgPHjx+P69euQJAnZ2dnYsGEDkpKSsGbNGkvXqAhN0AQiL5lGVuQHP3uXQET1xBEp+TErSI0ePRoNGzbEzJkzcfXqVcTGxiIwMBDvv/8+Bg8ebOkaFaEv+kINtb3LICcniAIvv0FEZEF1DlI3b97E+vXrER0djaFDh+Lq1asoKytD06ZNrVGfYkRFRSnyRseiKEKj0SA3N1dxl42wR+8qlQoeHh42ORYRWR5HpOSnzkHK1dUVY8eONV6c0t3dXZEBwNJ8fHwU+QtOFEUEBARAp9MpMkgptXciMg9vESM/Zp3ai4iIwE8//YSWLVtauh7FKioqqvLpQSUQRRF5eXkoLCxUXJiwdO8cbSJyfhyRkh+zgtS4ceMwefJk/P777wgPD6/yn/f9999vkeKUJCMjA2o150iR+QRRQMyzMQxTRE6MQUp+zApSlRPKX331VeMyQRAgSRIEQTBe6Zxqbxu2oQhF9i6DHJQf/DDAMAB6vZ5BiojIhsy+ICdZ1mVcRgEK7F0GERHJGEek5MesIMW5UURERLbHICU/ZgWpdevW3fH1ESNGmFUMERER1YxBSn7MClKTJk0yeX7jxg1cvXoVbm5ucHd3V0yQio+Px8cff2x87uvri4ceeggLFy7khHsiIrI4Bin5MeueJEVFRSaPsrIynDhxAo8++ig2bNhg6RplrXfv3sjLy0NeXh4yMzPh6uqKZ5991t5lERGRE+K99uTHYjd3a9OmDRYsWFBltMrZqVQq+Pv7w9/fH507d8b06dORm5uLv/76y96lERERkZWZdWqvxp25uuLPP/+05C4dSllZGf7f//t/CAkJQZMmTapdR6/Xm1x4s6SkxFblkQKIoghRdIybXwv/u9SyIAgOU7OlKLl3wHn7F2xw+XCe2pMfs4LUtm3bTJ5LkoS8vDysWLECjzzyiEUKcxQ7duxAo0aNAAA6nQ4BAQHYsWNHjf85JCUlYe7cubYskRREo9EgICDA3mXUSXBwsL1LsBsl9w44X/+2eGMsSLce5mxH1mFWkOrXr5/Jc0EQcM899+CJJ57Ae++9Z4m6HEavXr2wcuVKALfmjn3wwQfo06cPsrOzq71MRGJiIhISEozPS0pKoNFobFYvObfc3FzodDp7l1ErgiAgODgYZ86cgSQp6395JfcOOG//paWl1j+I4X8Pc7ZTkPz8fMyfPx87d+7EH3/8gaZNm6Jz58547bXX8OSTT0IQBGzZsqVKnomPj0dxcTG2bt1a62OZFaSUdk+0O/Hw8EBISIjx+Zo1a+Dl5YWPPvoI//znP6usr1KpoFKpbFkiKYjBYHCYn8/KUVtJkhymZktRcu+A8/Zvk1DIIHVX586dwyOPPAJvb28sWrQIHTt2xI0bN7B7926MHz8ex48ft+jxzDo5PW/ePFy9erXK8mvXrmHevHn1LsqRVZ7zv3btmr1LISIiZ2Oox0Mhxo0bB0EQkJ2djQEDBiA0NBTt27dHQkIC9u/fb/HjmRWk5s6di7KysirLr169qrj5P3q9Hvn5+cjPz8exY8cwceJElJWVISYmxt6lERERKUphYSHS09Mxfvz4au876u3tbfFjmnVqr/LmxLc7fPgwfH19612UI0lPTzdO7m3cuDHCwsLw6aefomfPnvYtjIiInA9P7d3R6dOnIUkSwsLCbHbMOgUpHx8fCIIAQRAQGhpqEqYqKipQVlaGsWPHWrxIuUpLS0NaWpq9yyAiIqVgkLoje3x4oU5BKjk5GZIk4cUXX8TcuXPh5eVlfM3NzQ1BQUHo1q2bxYtUgiZoAtFy10clhfGDn71LICJbYJC6ozZt2kAQhLtOKG/cuDGuXLlSZXlxcbFJtqmNOgWpuLg4AECrVq3QvXt3NGjQoE4Ho5r1RV+oobZ3GeTABFHgJ0KJnB2D1B35+voiOjoaKSkpePXVV6vMkyouLoa3tzfuu+8+HDx40JhrgFtn1g4fPozRo0fX6ZhmzZHq0aOH8evr16+jvLzc5HVPT09zdqtoUVFRcHd3t3cZNieKIjQaDXJzc53qY9C1YeneVSpVtZMriciJMEjdVUpKCh555BFERERg3rx5uP/++3Hz5k1kZGRg5cqVOHbsGBISEjBq1CiEhYUhKioKOp0Oy5cvR1FRkW2C1NWrV/HGG2/gk08+weXLl6u8XlFRYc5uFc3Hx0eRvwRFUURAQAB0Op0ig5RSeycispbWrVvj0KFDmD9/PiZPnoy8vDzcc889CA8PN15Ae8iQIZAkCUuWLMH06dPh7u6O8PBw7NmzB82aNavT8cwKUlOnTsW3336LlStXYvjw4UhJScEff/yB1atXY8GCBebskoiIiO5GgnmjS85zAflaCQgIwIoVK7BixYoa14mNjUVsbGy9j2VWkNq+fTvWrVuHnj17YuTIkXjssccQEhKCli1b4t///jeGDh1a78KUpqioyORmxkohiiLy8vJQWFiouFEZS/fOU3tECsBTe7JjVpAqLCxE69atAdyaD1VYWAgAePTRR/HKK69YrjoFycjIgFrNyeZkPkEUEPNsDMMUkTNjkJIds4JU69atcfbsWdx7770ICwvDJ598goiICGzfvt0qVw1Vgm3YhiIU2bsMclB+8MMAwwDo9XoGKSJnxiAlO2YFqZEjR+Lw4cPo0aMHpk+fjpiYGKxYsQI3btzAkiVLLF2jIlzGZRSgwN5lEBGRnDFIyY5ZQer11183fh0ZGYnjx4/j4MGDCAkJwf3332+x4oiIiIjkzKwg9XfXr19Hy5Yt0bJlS0vUQ0RERDXhiJTsmHVPkoqKCrz99tto3rw5GjVqhN9++w0A8NZbb0Gr1Vq0QGvZt28fXFxc8Mwzz1R5rby8HIsWLcIDDzwADw8PeHl5oVOnTpg5cyb+/PNP43rx8fHGew/+/dG7d29btkJEREphqMeDrMKsIDV//nykpaVh4cKFcHNzMy7v0KED1qxZY7HirEmr1WLixInYs2ePSTjS6/WIiorCO++8g/j4eOzZswdHjhzBsmXLcOnSJSxfvtxkP71790ZeXp7JY8OGDbZuh4iIlIBBSnbMOrW3bt06fPjhh3jyyScxduxY4/JOnTrd9UaBclBWVoZNmzbhxx9/RH5+PtLS0jBjxgwAwNKlS/Hdd9/hxx9/RJcuXYzb3HvvvejRo0eVO0urVCr4+/vbtH4iIlIontqTHbOC1B9//IGQkJAqyw0GA27cuFHvoqztk08+QVhYGO677z4MGzYMr732GhITEyEIAjZs2ICoqCiTEPV3giDU69h6vd7kwpslJSX12h/R34miCFE0a6DZ5ip/lgRBcJiaLUXJvQPO2399fz/UCq9sLjtmBal27dph7969VSaYf/bZZzUGEDnRarUYNmwYgFun5q5cuYL//Oc/6NmzJ06ePImePXuarN+/f39kZGQAAO6//3788MMPxtd27NiBRo0amaw/Y8YM4wjX7ZKSkjB37lwLdkP0fzQaDQICAuxdRp0EBwfbuwS7UXLvgPP1zzfGymRWkJo1axbi4uLwxx9/wGAwYPPmzThx4gTWrVuHHTt2WLpGizpx4gSys7OxZcsWAICrqysGDRoErVZbJUBV+uCDD6DT6bBs2TLs2bPH5LVevXoZb4JYydfXt8bjJyYmIiEhwfi8pKQEGo3GzG6ITOXm5kKn09m7jFoRBAHBwcE4c+ZMlVPmzk7JvQPO239paan1D8JTe7JTpyD122+/oVWrVnjuueewfft2zJs3Dx4eHpg1axYeeOABbN++HVFRUdaq1SK0Wi1u3ryJwMBA4zJJkqBSqbBixQq0adMGJ06cMNmm8h1+dQHJw8Oj2tOcNVGpVFCpVGZWT3RnBoPBYe5ZWHlKR5Ikh6nZUpTcO+C8/dskFDJIyU6dglSbNm2Ql5eHpk2b4rHHHoOvry+OHDmCZs2aWas+i7p58ybWrVuH9957D0899ZTJa/369cOGDRswZMgQzJw5Ez/99JNDnKYkIiIFYZCSnToFqdvT9pdffukwpxGAW/OZioqKMGrUKHh5eZm8NmDAAGi1Wuzduxc7d+7Ek08+idmzZ+Oxxx6Dj48PTp48iS+//BIuLi4m2+n1euTn55ssc3V1hZ+fn9X7ISIihWGQkp16fVzC0c5ta7VaREZGVglRwK0g9eOPP+LkyZPIzMzEtGnTsHbtWjz66KNo27YtXnvtNTzyyCPYunWryXbp6ekICAgweTz66KM26oiIiBTFhteRSklJQVBQENRqNbp27Yrs7Oxabbdx40YIgoB+/frV/aAOqE4jUpVX7r59maPYvn17ja9FRESYBMNp06Zh2rRpd9xfWloa0tLSLFUeERGRLGzatAkJCQlYtWoVunbtiuTkZERHR+PEiRNo2rRpjdudO3cOU6ZMwWOPPWbDau2rzqf24uPjjZOlr1+/jrFjx8LDw8Nkvc2bN1uuQoVogiYQ6zdASArmB55KJlIEG53aW7JkCcaMGYORI0cCAFatWoWdO3ciNTUV06dPr3abiooKDB06FHPnzsXevXtRXFxsRqGOp05BKi4uzuR55bWYqP76oi/UUNu7DHJggijwE6FEzq6eQer2a11V90ny8vJyHDx4EImJicZloigiMjIS+/btq/EQ8+bNQ9OmTTFq1Cjs3bvXjCIdU52C1Nq1a61Vh+JFRUXB3d3d3mXYnCiK0Gg0yM3NdaqPQdeGpXtXqVRVRoeJyMnUM0jdft3C2bNnY86cOSbLLl26hIqKiiqfyG/WrFmNt4H77rvvoNVqkZOTY0Zxjs2sC3KS5fn4+Cjyl6AoiggICIBOp1NkkFJq70RkpnreIiY3Nxeenp7GxZYYxS4tLcXw4cPx0UcfKfIT6wxSREREjqKeI1Kenp4mQao6fn5+cHFxQUFBgcnygoIC+Pv7V1n/zJkzOHfuHGJiYv7vcP97c+jq6ooTJ0443e2A/o5BSiaKiopMbmasFKIoIi8vD4WFhYoblalr7zx1R0S24ObmhvDwcGRmZhovYWAwGJCZmYkJEyZUWT8sLAxHjhwxWTZz5kyUlpbi/fffd/rboDFIyURGRgbUak42p5oJooCYZ2MYpoiUzEaf2ktISEBcXBwefPBBREREIDk5GTqdzvgpvhEjRqB58+ZISkqCWq1Ghw4dTLb39vYGgCrLnRGDlExswzYUocjeZZBM+cEPAwwDoNfrGaSIlMxGQWrQoEH466+/MGvWLOTn56Nz585IT083TkC/cOGC8Z6JSscgJROXcRkFKLj7ikREpFw2vEXMhAkTqj2VBwBZWVl33FZJF6tmkCIiInIUvNee7DBIEREROQoGKdlR5AnOynsG1vT4+8XJwsLCoFKpkJ+fb7IPnU6H4OBgJCQkmCw/d+4cPD098dFHH9miFSIiIrIjRQapvLw84yM5ORmenp4my6ZMmQLg1pVar127hueffx4ff/yxyT48PDywdu1aLF++3HgpfEmSMHLkSDzyyCMYM2aMzfsiIiInZ6jHg6xCkaf2/n5BMS8vLwiCUO1FxrRaLWJjY9GjRw9MmjQJ06ZNM3n98ccfx8SJEzFy5EgcPnwYH330EXJycnD06NEaj63X602uF3X7fY+I7kQURaf5pIwgCMY/naWn2lJy74Dz9l/Zl1Xx1J7sKDJI1UZpaSk+/fRTHDhwAGFhYbhy5Qr27t2Lxx57zGS9+fPnY9euXRg2bBh2796NDz/8EM2bN69xv0lJSZg7d661yycnpdFoEBAQYO8yLMqZr3h8N0ruHXC+/m3yxriet4ghy2OQqsHGjRvRpk0btG/fHgAwePBgaLXaKkGqYcOGeP/999G7d2/06dMHw4YNu+N+ExMTTeZVlZSUOP1VX8lycnNzodPp7F2GRQiCgODgYJw5cwaSpKz/5ZXcO+C8/ZeWllr/IByRkh0GqRqkpqaahKJhw4ahR48eWL58ORo3bmyyrlarhbu7O44cOYIrV67Ay8urxv2qVCqL3CSSlMlgMDjNrXQqT+lIkuQ0PdWWknsHnLd/m4RCBinZcZ6T0xb066+/Yv/+/XjjjTfg6uoKV1dXPPzww7h69So2btxosu6mTZuwY8cO/PDDD2jcuDFef/11O1VNREREtsYgVQ2tVovHH38chw8fRk5OjvGRkJAArVZrXK+goADjx4/HP//5T3Tq1AlpaWlYt24dvvzySztWT0RETouf2pMdBqnb3LhxA//6178wZMgQdOjQweQxevRoHDhwAL/88gsA4KWXXkLbtm3x2muvAQAiIiIwdepUvPTSS7hy5YoduyAiIqfEICU7DFK32bZtGy5fvoz+/ftXea1t27Zo27YttFot1q1bh6+//hpr1641+fju3Llz4e3tzVN8RERkeQxSsqP4yebx8fGIj483Ph8wYAAqKipqXP/XX381fj1ixIgqr7u5ueHIkSMWrZGIiAgAJ5vLkOKDlFw0QROIHCCkGvjBz94lEJEcMEjJDoOUTPRFX6ihtncZJGOCKPDSGUREMsMgJRNRUVFwd3e3dxk2J4oiNBoNcnNznep6MrVR195VKhU8PDxsUBkRyRZHpGSHQUomfHx8FPlLUhRFBAQEQKfTKTJIKbV3IjITg5TsMEgRERE5Ct5rT3YYpGSiqKgIer3e3mXYnCiKyMvLQ2FhoeJGZSp71+l0aNiwob3LISJHwBEp2WGQkomMjAyo1ZxsrkSCKCDm2RhFntolojpikJIdBimZ2IZtKEKRvcsgG/ODHwYYBkCv1zNIERE5IAYpmbiMyyhAgb3LICIiOeOIlOwwSBERETkKBinZYZAiIiJyFAxSsmPXe5LEx8dDEAQIggA3NzeEhIRg3rx5GDZsmHF5dY+goCAAQM+ePY3L1Go1QkNDkZSUBEmq+jnPffv2wcXFBc8880y1x7/bcV577TWT/f3yyy8YOHAg7rnnHqhUKoSGhmLWrFm4evWqtb5dRESkdLxpsezY/eZuvXv3Rl5eHk6dOoXJkydjzpw5aNOmDfLy8owPAFi7dq3x+X//+1/j9mPGjEFeXh5OnDiBxMREzJo1C6tWrapyHK1Wi4kTJ2LPnj34888/AQDvv/9+rY/zd/v370fXrl1RXl6OnTt34uTJk5g/fz7S0tIQFRWF8vJyS3+biIiIGKRkyO6n9lQqFfz9/QEAr7zyCrZs2YL09HTMnj3bZD1vb2/jen/n7u5uXD5y5EisWLECGRkZeOWVV4zrlJWVYdOmTfjxxx+Rn5+PtLQ0zJgxA15eXvDy8qrVcSpJkoRRo0ahbdu22Lx5M0TxVhZt2bIlQkND0aVLFyxduhTTpk2rdnu9Xm9yvaiSkpI7fXtIIURRNP5bUgpBEIx/sndlcdb+K/siZbF7kLpdw4YNcfny5TpvJ0kSvvvuOxw/fhxt2rQxee2TTz5BWFgY7rvvPgwbNgyvvfYaEhMTzfpHn5OTg19//RXr16+v8h9Ap06dEBkZiQ0bNtQYpJKSkjB37tw6H5ecm0ajQUBAgL3LsIvg4GB7l2A3Su4dcL7+bfLGmHOkZEc2QUqSJGRmZmL37t2YOHFirbf74IMPsGbNGpSXl+PGjRtQq9V49dVXTdbRarUYNmwYgFunEq9cuYL//Oc/6NmzZ53rPHnyJACgbdu21b7etm1bfPfddzVun5iYiISEBOPzkpISaDSaOtdBziU3Nxc6nc7eZdiUIAgIDg7GmTNnqp3X6MyU3DvgvP2XlpZa/yC8RYzs2D1I7dixA40aNcKNGzdgMBgQGxuLOXPm1Hr7oUOH4s0330RRURFmz56N7t27o3v37sbXT5w4gezsbGzZsgUA4OrqikGDBkGr1ZoVpCqZ+8OvUqmgUqnMPi45J4PBoMhb5AC3fpbYu7I4a/82CYUckZIduwepXr16YeXKlXBzc0NgYCBcXetWkpeXF0JCQgDcOoUXEhKChx9+GJGRkQBujUbdvHkTgYGBxm0kSYJKpcKKFSuqzJG6m9DQUADAsWPH0KVLlyqvHzt2zLgOERGRRTFIyY7dZ/l5eHggJCQE9957b51D1O0aNWqESZMmYcqUKZAkCTdv3sS6devw3nvvIScnx/g4fPgwAgMDsWHDhjofo3PnzggLC8PSpUurvJM6fPgwvv76awwZMqRefRAREZFjsHuQsrSXX34ZJ0+exOeff44dO3agqKgIo0aNQocOHUweAwYMgFarrfP+BUGAVqvFr7/+igEDBiA7OxsXLlzAp59+ipiYGHTr1q3KNaeIiIgsgpc/kB2nC1K+vr4YMWIE5syZA61Wi8jIyGpP3w0YMAA//vgjfv755zofo3v37ti/fz9cXFzQp08fhISEIDExEXFxccjIyOAcKCIisg4GKdmx6xyptLS0Wq1X0wS+rKysapdXd0HO20VERFTZb12O07FjR3z22Wd3PQ4REZHFcI6U7Nh9sjnd0gRNIDrfACHdhR/87F0CETkSBinZYZCSib7oCzXU9i6D7EAQBZ4OJqLaYZCSHQYpmYiKioK7u7u9y7A5URSh0WiQm5vrVNeTqY3K3i9evIiGDRvauxwiIjIDg5RM+Pj4wMPDw95l2JwoiggICIBOp1NkkFJq70RkJo5IyQ6DlEwUFRWZ3MzYllQqlSJDHBGRw+EtYmSHQUomMjIyoFbbZ46UIAqIeTaGYYqISO44IiU7DFIysQ3bUIQimx/XD34YYBgAvV7PIEVEJHcMUrLDICUTl3EZBSiwdxlERCRnDFKywwsXEREREZmJI1JERESOgiNSssMRqdtkZWVBEIQaH7169cK5c+cgCAKaNm2K0tJSk+07d+6MOXPm2Kd4IiJybrzXnuwwSN2me/fuyMvLq/JYvXo1BEHAuHHjjOuWlpZi8eLFdqyWiIgUhUFKdhikbuPm5gZ/f3+TR1FREaZMmYIZM2bghRdeMK47ceJELFmyBBcvXrRjxUREpBgMUrLDOVJ3UVxcjOeeew49e/bE22+/bfLakCFDkJGRgXnz5mHFihW12p9erze58GZJSYlF6zWXKIoQRdvnakEQjH/a4/j2pOTeAWX3r+TeAeftv7Ivq+IcKdlhkLoDg8GA2NhYuLq64t///neVHxJBELBgwQLExMTg9ddfR3Bw8F33mZSUhLlz51qrZLNpNBoEBATY7fi1+d45KyX3Dii7fyX3Djhf/3J5Y0y2xSB1BzNmzMC+ffuQnZ2Nxo0bV7tOdHQ0Hn30Ubz11ltYv379XfeZmJiIhIQE4/OSkhJoNBqL1Wyu3Nxc6HQ6mx9XEAQEBwfjzJkzkCRl3cNAyb0Dyu5fyb0Dztv/7R8+sgob3iImJSUFixYtQn5+Pjp16oTly5cjIiKi2nU/+ugjrFu3DkePHgUAhIeH45133qlxfWfCIFWDjRs3YvHixdi5cyfatGlzx3UXLFiAbt26YerUqXfdr0qlgkqlslSZFmMwGOxy49zKYX1JkhR3414l9w4ou38l9w44b/82CYU2OrW3adMmJCQkYNWqVejatSuSk5MRHR2NEydOoGnTplXWz8rKwpAhQ9C9e3eo1Wq8++67eOqpp/DLL7+gefPmZhTsOJzn5LQF5eTkYNSoUViwYAGio6Pvun5ERAT+8Y9/YPr06TaojoiIFMtGk82XLFmCMWPGYOTIkWjXrh1WrVoFd3d3pKamVrv+v//9b4wbNw6dO3dGWFgY1qxZA4PBgMzMTLPadCQckbrNpUuX0K9fP/Ts2RPDhg1Dfn6+yesuLi7Vbjd//ny0b98erq78lhIRkZXUc0Tq9nlc1Z0lKS8vx8GDB5GYmGhcJooiIiMjsW/fvlod7urVq7hx4wZ8fX3NKNaxcETqNjt37sT58+exa9cuBAQEVHk89NBD1W4XGhqKF198EdevX7dxxUREpBj1HJHSaDTw8vIyPpKSkqoc4tKlS6ioqECzZs1Mljdr1qzK4EJNpk2bhsDAQERGRprRpGPh8Mlt4uLiEBcXd9f1qjsXvnr1aqxevdoaZREREdVbbm4uPD09jc+tMWd3wYIF2LhxI7KysqBWqy2+f7lhkCIiInIU9Ty15+npaRKkquPn5wcXFxcUFBSYLC8oKIC/v/8dt128eDEWLFiAr7/+Gvfff78ZhToeBimZaIImEO1wptUPfjY/JhERmckGn9pzc3NDeHg4MjMz0a9fv1ub/2/i+IQJE2rcbuHChZg/fz52796NBx980IwiHRODlEz0RV+oYZ8hUEEUZHlJBiIiuo2NLn+QkJCAuLg4PPjgg4iIiEBycjJ0Oh1GjhwJABgxYgSaN29unGP17rvvYtasWVi/fj2CgoKMc6kaNWqERo0amVGw42CQkomoqCi4u7vb5dgqlQoeHh52OTYREdWBjYLUoEGD8Ndff2HWrFnIz89H586dkZ6ebpyAfuHCBZPb+6xcuRLl5eV4/vnnTfYze/ZszJkzx4yCHQeDlEz4+PgwzBAR0Z3Z8MrmEyZMqPFUXlZWlsnzc+fO1f0AToKXPyAiIiIyE4OUTPD6U0REdFc2urI51R5P7cnEtWvX7F0CERHJnY3mSFHtMUgRERE5CgYp2WGQIiIichQMUrLDIEVEROQoGKRkR1GTzePj4yEIAgRBQIMGDdCqVSu88cYbVSZ6//7773Bzc0OHDh2q3U/lPgRBgIeHB9q0aYP4+HgcPHjQFm0QERGRTCgqSAFA7969kZeXh99++w1Lly7F6tWrMXv2bJN10tLSMHDgQJSUlODAgQPV7mft2rXIy8vDL7/8gpSUFJSVlaFr165Yt26dLdogIiIl4qf2ZEdxQUqlUsHf3x8ajQb9+vVDZGQkMjIyjK9LkoS1a9di+PDhiI2NhVarrXY/3t7e8Pf3R1BQEJ566il89tlnGDp0KCZMmICioiJbtUNERErCICU7ip4jdfToUfzwww9o2bKlcdm3336Lq1evIjIyEs2bN0f37t2xdOnSWl11/PXXX8e6deuQkZGBgQMHVruOXq+HXq83Pi8pKTF+/ffL7SuFIAjGP5XWv5J7B5Tdv5J7B5y3/8q+rIpzpGRHcUFqx44daNSoEW7evAm9Xg9RFLFixQrj61qtFoMHD4aLiws6dOiA1q1b49NPP0V8fPxd9x0WFgbgzpfKT0pKwty5c6ssb9GiBUJCQurcj7MIDg62dwl2o+TeAWX3r+TeAefr/+9vjK3GhreIodpRXJDq1asXVq5cCZ1Oh6VLl8LV1RUDBgwAABQXF2Pz5s347rvvjOsPGzYMWq22VkFKkm79S73Tu5LExEQkJCQYn5eUlECj0eD33393qndmtSUIAoKDg3HmzBnj908plNw7oOz+ldw74Lz9l5aWWv8gHJGSHcUFKQ8PD+PIT2pqKjp16gStVotRo0Zh/fr1uH79Orp27WpcX5IkGAwGnDx5EqGhoXfc97FjxwAArVq1qnEdlUoFlUpV7WsGg/L+pVeGx8rvs5IouXdA2f0ruXfAeft3plBItae8IZC/EUURM2bMwMyZM3Ht2jVotVpMnjwZOTk5xsfhw4fx2GOPITU19a77S05OhqenJyIjI21QPRERKQ4nm8uOooMUALzwwgtwcXFBSkoKDh06hNGjR6NDhw4mjyFDhuDjjz/GzZs3jdsVFxcjPz8f58+fR0ZGBp5//nmsX78eK1euhLe3t/0aIiIi58UgJTuKD1Kurq6YMGECEhMTERQUZJww/nf9+/fHxYsXsWvXLuOykSNHIiAgAGFhYXjllVfQqFEjZGdnIzY21pblExGRkjBIyY6i5kilpaVVu3z69OmYPn16jdv5+/ujoqLC+JznwYmIyC442Vx2FBWkiIiIHBqDlOwo/tQeERERkbk4IiUTDRs2tHcJREQkdxyRkh0GKZlQq9X2LoGIiOSOQUp2GKSIiIgcBW8RIzsMUkRERI7CAMCceyNzRMpqONlcJq5fv27vEoiISO54HSnZYZCSiWvXrtm7BCIiIqojntojIiJyFDy1JzsMUkRERI6CQUp2GKSIiIgcBYOU7DjdHKn8/HxMnDgRrVu3hkqlgkajQUxMDDIzMwEAQUFBSE5OrrLdnDlz0Llz5yrLf//9d7i5uaFDhw7VHu8///kPnnjiCfj6+sLd3R1t2rRBXFwcysvLLdkWERERJ5vLkFMFqXPnziE8PBzffPMNFi1ahCNHjiA9PR29evXC+PHjzdpnWloaBg4ciJKSEhw4cMDktV9//RW9e/fGgw8+iD179uDIkSNYvnw53NzcTG5yTEREZBEMUrLjVKf2xo0bB0EQkJ2dDQ8PD+Py9u3b48UXX6zz/iRJwtq1a/HBBx+gRYsW0Gq16Nq1q/H1r776Cv7+/li4cKFxWXBwMHr37l2/RoiIiMghOE2QKiwsRHp6OubPn28Soip5e3vXeZ/ffvstrl69isjISDRv3hzdu3fH0qVLjfv39/dHXl4e9uzZg8cff7xW+9Tr9dDr9cbnJSUlxq9F0akGCGtFEATjn0rrX8m9A8ruX8m9A87bf2VfVsU5UrLjNEHq9OnTkCQJYWFhd1132rRpmDlzpsmy8vJytGvXzmSZVqvF4MGD4eLigg4dOqB169b49NNPER8fDwB44YUXsHv3bvTo0QP+/v54+OGH8eSTT2LEiBHw9PSs9thJSUmYO3duleUtWrRASEhILbt1PsHBwfYuwW6U3Dug7P6V3DvgfP3//Y2x1fAWMbIjSJLkFN/eAwcO4OGHH8bmzZvRv3//GtcLCgrCsGHDjGGo0rJly7Bnzx7k5OQAAIqLixEQEIDvvvsO4eHhAIDFixfjiy++wN69e022/eOPP/DNN9/gwIED2Lx5M1xcXJCdnY2AgIAqx69uREqj0SAzMxP33nuvmd07LkEQEBwcjDNnzsBJ/inWmpJ7B5Tdv5J7B5y3/9LSUjzwwAO4cuVKjW+mzVVSUgIvLy9cCQI8zRjEKzEAXudgldqUzmlGpNq0aQNBEHD8+PG7ruvn51dl9MfX19fk+fr163H9+nWTOVGSJMFgMODkyZMIDQ01Lm/evDmGDx+O4cOH4+2330ZoaChWrVpV7ciTSqWCSqWqti6DQXljr5XD+pXfWyVRcu+AsvtXcu+A8/Zvk1Bo7rfLeb7NsuM0J6d9fX0RHR2NlJQU6HS6Kq8XFxfXaX9arRaTJ09GTk6O8XH48GE89thjSE1NrXE7Hx8fBAQEVFsDERFRvfBTe7LjNEEKAFJSUlBRUYGIiAh8/vnnOHXqFI4dO4Zly5ahW7dutd5PTk4ODh06hNGjR6NDhw4mjyFDhuDjjz/GzZs3sXr1arzyyiv46quvcObMGfzyyy+YNm0afvnlF8TExFixUyIiIpIDpwpSrVu3xqFDh9CrVy9MnjwZHTp0QFRUFDIzM7Fy5cpa70er1aJdu3bVTlzv378/Ll68iF27diEiIgJlZWUYO3Ys2rdvjx49emD//v3YunUrevToYcnWiIiIOCIlQ04z2dxRVU4gzMzMRIsWLexdjs2JooiQkBCcPn3aqeZK1IaSeweU3b+Sewect/+ysjKEh4dbd7K5fz0mm+dzsrk1OM1kcyIiIqfHyeaywyBFRETkKBikZIdBSiYaNmxo7xKIiEjuGKRkx6kmmzsytVpt7xKIiIiojjgiRURE5Ch4ixjZYZAiIiJyFObetJhBymoYpIiIiBwFg5TsMEgRERE5CgYp2eFkcyIiIiIzcUSKiIjIUXBESnYYpIiIiBwFg5TsMEgRERE5CgYp2eEcKSIiIkdhqMejjlJSUhAUFAS1Wo2uXbsiOzv7jut/+umnCAsLg1qtRseOHbFr1666H9QBMUgRERE5ChsFqU2bNiEhIQGzZ8/GoUOH0KlTJ0RHR+PixYvVrv/DDz9gyJAhGDVqFH766Sf069cP/fr1w9GjR81q05EwSBEREZGJJUuWYMyYMRg5ciTatWuHVatWwd3dHampqdWu//7776N3796YOnUq2rZti7fffhsPPPAAVqxYYePKbY9zpOxMkm6duC4rKzN+rSSCIKCkpASlpaWK61/JvQPK7l/JvQPO239ZWRkAWLWnEglmzXcqqfyzpMRkuUqlgkqlMllWXl6OgwcPIjEx0bhMFEVERkZi37591e5/3759SEhIMFkWHR2NrVu31r1YB8MgZWeXL18GADz++ON2roSIiCyhtLQUXl5eFt2nm5sb/P39ocnPN3sfjRo1gkajMVk2e/ZszJkzx2TZpUuXUFFRgWbNmpksb9asGY4fP17tvvPz86tdP78e9ToKBik78/X1BQBcuHDB4j94jqCkpAQajQa5ubnw9PS0dzk2peTeAWX3r+TeAeftX5IklJaWIjAw0OL7VqvVOHv2LMrLy83ehyRJEATTj/zdPhpFdccgZWeieGuampeXl1P9h1JXnp6eiu1fyb0Dyu5fyb0Dztm/Nd8Qq9VqqNVqq+2/kp+fH1xcXFBQUGCyvKCgAP7+/tVu4+/vX6f1nQknmxMREZGRm5sbwsPDkZmZaVxmMBiQmZmJbt26VbtNt27dTNYHgIyMjBrXdyYckSIiIiITCQkJiIuLw4MPPoiIiAgkJydDp9Nh5MiRAIARI0agefPmSEpKAgBMmjQJPXr0wHvvvYdnnnkGGzduxI8//ogPP/zQnm3YBIOUnalUKsyePVux56mV3L+SeweU3b+SewfYvyMYNGgQ/vrrL8yaNQv5+fno3Lkz0tPTjRPKL1y4YJyaAgDdu3fH+vXrMXPmTMyYMQNt2rTB1q1b0aFDB3u1YDOC5EyfPSUiIiKyIc6RIiIiIjITgxQRERGRmRikiIiIiMzEIEVERERkJgYpK0hJSUFQUBDUajW6du2K7OzsO67/6aefIiwsDGq1Gh07dsSuXbtMXpckCbNmzUJAQAAaNmyIyMhInDp1ypotmM2Svd+4cQPTpk1Dx44d4eHhgcDAQIwYMQJ//vmntdswm6X/7v9u7NixEAQBycnJFq7aMqzR+7Fjx9C3b194eXnBw8MDDz30EC5cuGCtFurF0v2XlZVhwoQJaNGiBRo2bGi8cawc1aX3X375BQMGDEBQUNAd/z3X9ftJZDcSWdTGjRslNzc3KTU1Vfrll1+kMWPGSN7e3lJBQUG163///feSi4uLtHDhQunXX3+VZs6cKTVo0EA6cuSIcZ0FCxZIXl5e0tatW6XDhw9Lffv2lVq1aiVdu3bNVm3ViqV7Ly4uliIjI6VNmzZJx48fl/bt2ydFRERI4eHhtmyr1qzxd19p8+bNUqdOnaTAwEBp6dKlVu6k7qzR++nTpyVfX19p6tSp0qFDh6TTp09LX3zxRY37tCdr9D9mzBgpODhY+vbbb6WzZ89Kq1evllxcXKQvvvjCVm3VSl17z87OlqZMmSJt2LBB8vf3r/bfc133SWRPDFIWFhERIY0fP974vKKiQgoMDJSSkpKqXX/gwIHSM888Y7Ksa9eu0ssvvyxJkiQZDAbJ399fWrRokfH14uJiSaVSSRs2bLBCB+azdO/Vyc7OlgBI58+ft0zRFmSt/n///XepefPm0tGjR6WWLVvKMkhZo/dBgwZJw4YNs07BFmaN/tu3by/NmzfPZJ0HHnhAevPNNy1Yef3Vtfe/q+nfc332SWRrPLVnQeXl5Th48CAiIyONy0RRRGRkJPbt21ftNvv27TNZHwCio6ON6589exb5+fkm63h5eaFr16417tMerNF7da5cuQJBEODt7W2Rui3FWv0bDAYMHz4cU6dORfv27a1TfD1Zo3eDwYCdO3ciNDQU0dHRaNq0Kbp27YqtW7darQ9zWevvvnv37ti2bRv++OMPSJKEb7/9FidPnsRTTz1lnUbMYE7v9tgnkTUxSFnQpUuXUFFRYbzya6VmzZohPz+/2m3y8/PvuH7ln3XZpz1Yo/fbXb9+HdOmTcOQIUNkd6NTa/X/7rvvwtXVFa+++qrli7YQa/R+8eJFlJWVYcGCBejduze++uor9O/fH//4xz/wn//8xzqNmMlaf/fLly9Hu3bt0KJFC7i5uaF3795ISUnB448/bvkmzGRO7/bYJ5E18RYx5BBu3LiBgQMHQpIkrFy50t7l2MTBgwfx/vvv49ChQxAEwd7l2JTBYAAAPPfcc3j99dcBAJ07d8YPP/yAVatWoUePHvYszyaWL1+O/fv3Y9u2bWjZsiX27NmD8ePHIzAwsMpoFhHZD0ekLMjPzw8uLi4oKCgwWV5QUAB/f/9qt/H397/j+pV/1mWf9mCN3itVhqjz588jIyNDdqNRgHX637t3Ly5evIh7770Xrq6ucHV1xfnz5zF58mQEBQVZpQ9zWKN3Pz8/uLq6ol27dibrtG3bVnaf2rNG/9euXcOMGTOwZMkSxMTE4P7778eECRMwaNAgLF682DqNmMGc3u2xTyJrYpCyIDc3N4SHhyMzM9O4zGAwIDMzE926dat2m27dupmsDwAZGRnG9Vu1agV/f3+TdUpKSnDgwIEa92kP1ugd+L8QderUKXz99ddo0qSJdRqoJ2v0P3z4cPz888/IyckxPgIDAzF16lTs3r3bes3UkTV6d3Nzw0MPPYQTJ06YrHPy5Em0bNnSwh3UjzX6v3HjBm7cuGFyU1gAcHFxMY7WyYE5vdtjn0RWZe/Z7s5m48aNkkqlktLS0qRff/1VeumllyRvb28pPz9fkiRJGj58uDR9+nTj+t9//73k6uoqLV68WDp27Jg0e/bsai9/4O3tLX3xxRfSzz//LD333HOyvfyBJXsvLy+X+vbtK7Vo0ULKycmR8vLyjA+9Xm+XHu/EGn/3t5Prp/as0fvmzZulBg0aSB9++KF06tQpafny5ZKLi4u0d+9em/d3N9bov0ePHlL79u2lb7/9Vvrtt9+ktWvXSmq1Wvrggw9s3t+d1LV3vV4v/fTTT9JPP/0kBQQESFOmTJF++ukn6dSpU7XeJ5GcMEhZwfLly6V7771XcnNzkyIiIqT9+/cbX+vRo4cUFxdnsv4nn3wihYaGSm5ublL79u2lnTt3mrxuMBikt956S2rWrJmkUqmkJ598Ujpx4oQtWqkzS/Z+9uxZCUC1j2+//dZGHdWNpf/ubyfXICVJ1uldq9VKISEhklqtljp16iRt3brV2m2YzdL95+XlSfHx8VJgYKCkVqul++67T3rvvfckg8Fgi3bqpC691/Rz3aNHj1rvk0hOBEmSJDsNhhERERE5NM6RIiIiIjITgxQRERGRmRikiIiIiMzEIEVERERkJgYpIiIiIjMxSBERERGZiUGKiIiIyEwMUkRERERmYpAiIiIiMhODFBFZRX5+PiZOnIjWrVtDpVJBo9EgJibGeDPaoKAgJCcn27dIIqJ6crV3AUTkfM6dO4dHHnkE3t7eWLRoETp27IgbN25g9+7dGD9+PI4fP27vEomILIJBiogsbty4cRAEAdnZ2fDw8DAub9++PV588UU7VkZEZFk8tUdEFlVYWIj09HSMHz/eJERV8vb2tn1RRERWwiBFRBZ1+vRpSJKEsLAwe5dCRGR1DFJEZFGSJNm7BCIim2GQIiKLatOmDQRB4IRyIlIEBikisihfX19ER0cjJSUFOp2uyuvFxcW2L4qIyEoYpIjI4lJSUlBRUYGIiAh8/vnnOHXqFI4dO4Zly5ahW7du9i6PiMhiePkDIrK41q1b49ChQ5g/fz4mT56MvLw83HPPPQgPD8fKlSvtXR4RkcUIEmeGEhEREZmFp/aIiIiIzMQgRURERGQmBikiIiIiMzFIEREREZmJQYqIiIjITAxSRERERGZikCIiIiIyE4MUERERkZkYpIiIiIjMxCBFREREZCYGKSIiIiIz/X8hjk4HbnMH2gAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 600x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CIU.plot_ciu(CIUres, CImax=min(1.0,(max(CIUres.CI)+0.01)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "An alternative way of visualising CIU is to use the ``'overlap'``plot mode, which shows the CI value as a transparent bar and the CU value as a solid bar within the CI bar. CU=0 produces no solid bar, while CU=1 produces a solid bar that covers the transparent bar entirely. This can be seen as a kind of \"what-if\" explanation because the bars with the biggest transparent areas are the ones where changing the value has the greatest potential effect on the output value. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjwAAAFzCAYAAAA66dO+AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAABR/ElEQVR4nO3deVxU5f4H8M+ZhUEWIdwAI5YBcs2tMP3lQmFqN00zV1RwqWuaVqgpZip2DbMFc01zlOxetbqpqZllphcrlcxcUlIDNG9BWCqLy8DMPL8/uIyOgDCHGWYYPu/Xi5fMOc955nu+jvLlOc95jiSEECAiIiJyYQpHB0BERERkbyx4iIiIyOWx4CEiIiKXx4KHiIiIXB4LHiIiInJ5LHiIiIjI5bHgISIiIpfHgoeIiIhcnsrRAdR3JpMJv//+O7y9vSFJkqPDISIiqjOEECgsLERgYCAUijuP4bDgcbDff/8dQUFBjg6DiIiozrpw4QLuvvvuO7ZhweNg3t7eAIC0tDR4eno6OJq6RZIkaLVaZGZmgk9IsR7zJx9zVzPMn3zMnaWioiL06NHD/LP0TljwOFjZZSwvLy8WPFZSKBRo2LAhvL29YTKZHB1OncP8ycfc1QzzJx9zV7HqTAnhpGUiIiJyeSx4iIiIyOWx4CEiIiKXx4KHiIiIXB4LHiIiInJ5LHiIiIjI5bHgISIiIpfHgoeIiIhcHgseIiIicnlcadlJ5BcXwaDiqpnWkBQKXLqWjyv6QgiuOGo15k8+5q5m7JG/BuoG9eIBzJIQ0BsNKBZGCFF7nz0VFHU+vyx4nET0iu6Am6OjICKqm8aMXw+12t3RYdSOY8dr/S2neLaBGspaf19b4iUtIiIicnkc4XESwU20ULlziMdaarUKJSUGR4dRZzF/8jF3NWOL/JmECdl5pwEAA5q0hLubhy1Cc2oKSPAP8EduTi5MsO/T0g3ChE8vZtj1PWoTCx4noZCUUCo44GYVCVAqVaVPDLbvv3vXxPzJx9zVjI3yJ90yhUUpKaCSXP//UIUkQa1UQaVQwCT44bOG6386iIiIqN6r8wVPfHw8BgwYUOG+Y8eOoX///mjatCnc3d0REhKCoUOHIi8vD/PmzYMkSXf8KrNx40YolUpMmjTJvK1nz553PLZnz552PnMiIiKqrjpf8FTm4sWLeOSRR+Dn54cvvvgCGRkZWLduHQIDA3H16lVMmzYNOTk55q+7774b8+fPt9hWRqfT4aWXXsLGjRtx48YNAMDmzZvN7dLT0wEAX331lXnb5s2bHXLeREREVJ7LzuH59ttvkZ+fjzVr1kClKj3N0NBQREdHm9t4eXmZv1cqlfD29oa/v79FP9nZ2fjuu+/wySefYO/evdi8eTNGjBgBPz8/c5uyIqhRo0bljiciIiLHc9mCx9/fHwaDAVu2bMFTTz0le8GkdevW4W9/+xt8fHwwcuRI6HQ6jBgxQnZcer0eer3e/LqgoODmzrq9ppNjMXc1w/zJx9zVTE3yd8uxCkmCoo4vjFctZecoSXa/RKMQN/MpKRRQOOGkcGt+trtswfPggw9i1qxZGDFiBCZMmICoqCg8/PDDGD16NJo1a1atPkwmE1JTU7F06VIAwLBhwzB16lRkZ2cjNDRUVlzJyclISkoqt12lUkGt5m3pcjBvNcP8ycfc1UxN82cyGc3f+wcEwEPjWdOQ6oyAgAC7v0eJ0QDk/QQA0IZpoVE6X8lgMWhQBeeL3oYWLFiAhIQEfP311zh06BDeffddvPbaa0hLS0Pbtm2rPH737t24evUqHnvsMQBA48aN0atXL6xduxavvvqqrJgSExORkJBgfl1QUICgoCAYDAZIJfXgtxMbU6vdUFJS7Ogw6izmTz7mrmZskT/TLY+lyM3JQYN6sA4PJAkBAQGl80ztfFu64Zb8ZmZlwk1yvpWWCwsLq93WpQseoHRezeDBgzF48GC89tpr6NChA9588028//77VR6r0+lw6dIlNGjQwLzNZDLh+PHjSEpKgkLGujkajQYajabinVxSwTq31ofMnfWYP/mYu5qxVf5uOdYkRL1Yl8b8U6cWzvfWhQ2FyQSTE14yFFbkwOULnlu5ublBq9Xi6tWrVbb966+/8Omnn2LTpk1o3bq1ebvRaMRDDz2EL7/8En369LFnuERERGQjLlHw5Ofn4+jRoxbbTpw4gS+++ALDhg1DZGQkhBDYvn07du7ciXXr1lXZ5wcffIBGjRphyJAh5SZFPfbYY9DpdCx4iIiI6giXKHj27duHDh06WGyLjo5GeHg4pk6digsXLkCj0SAiIgJr1qzBqFGjquxz7dq1GDhwYIUzwAcNGoRRo0bhzz//ROPGjW12HkRERGQfdb7gSU1NRWpqao37OXfunMXr48ePV9p2yJAhGDJkiPl1SEiIVdcRiYiIqHbV+YLHVZiEEUaT882Ad3YKhQFGo6nqhlQh5k8+5q5mbJE/k7h5vFGYYBCu//ehEBJKjAYYTKZaeVq6K2HB4yTOX8wEuKQHEZEsWy9mQK12d3QYteN/a+OQdZxv2UQiIiIiG+MIj5PYOzENnh71YNEsG5IUCoSFhiErOwvC5FpDr7WB+ZOPuasZe+SvgbqB7EcI1SWSQgFtmBaZWZm1+tlTucD4CAseJ+Hj5gXPerQsui0oFAr4efjgksbbYsVVqh7mTz7mrmaYP/kUkgIapQpuktIpFwJ0Zix4nER+cREMKv7Dt4akUODStXxc0Rfyt2wZmD/56mvuvNWeslaYJ3IGLHicRPSK7py0TEROLX3KYfhovB0dBpEsLNWJiIjI5XGEx0kEN9FC5c4hHmup1SqUlBgcHUadxfzJV19yZxRGnMs74+gwiGqMBY+TUEhKKHlt3DoSoFSqSic9cqFr6zF/8tWn3NWfKUrk4vgTloiIiFweC55bxMfHQ5IkSJIEtVqN0NBQvPTSS7hx44a5Tdn+gwcPWhyr1+vRqFEjSJKEffv21XLkREREdCcseG7Tp08f5OTkICsrCykpKVi1ahXmzp1r0SYoKAjr1q2z2LZlyxZ4eXnVZqhERERUTSx4bqPRaODv74+goCAMGDAAMTEx2L17t0WbuLg4bNq0CdevXzdvW7t2LeLi4mo7XCIiIqoGTlq+g59++gnfffcdgoODLbZ36tQJISEh+OSTTzBy5Ej8+uuvSEtLw/Lly/Hqq6/esU+9Xg+9Xm9+XVBQcHMnF82Uj7mrGeZPvnqUO0mhsMnCg2WPgJAkiQsZWom5s2TN40RY8Nxmx44d8PLygsFggF6vh0KhwLJly8q1Gzt2LNauXYuRI0ciNTUVjz32GJo0aVJl/8nJyUhKSiq3XaVSQa3mbelyMG81w/zJVx9yp1DcvPU+LDQMfh4+Nutbq9XarK/6hrkrZTFoUAUWPLeJjo7GypUrcfXqVaSkpEClUmHQoEHl2o0cORIzZ85EVlYWUlNTsWTJkmr1n5iYiISEBPPrgoICBAUFwWAwQCqpR78q2oha7YaSkmJHh1FnMX/y1ZfcGY0370vPys7CJRustCxJErRaLTIzMyGEq9/Xb1vMnaXCwsJqt2XBcxtPT0+Eh4cDKJ2X065dO+h0OowbN86iXaNGjfD4449j3LhxuHHjBvr27VutxGs0Gmg0mop38rNrnVvrQ+bOesyffPU0d8JkssnDPssuxQgh+PBQKzF3lqwp+ngB8A4UCgVmzZqF2bNnW0xQLjN27Fjs27cPo0ePhlKpdECEREREVB0seKowePBgKJVKLF++vNy+Pn364OLFi5g/f74DIiMiIqLqYsFTBZVKheeeew6LFi3C1atXLfZJkoTGjRvDzc31Jy4SERHVZZzDc4vU1NQKt8+cORMzZ84EcOfrhb6+vpxERkRE5IRY8DgJkzDCaOI8IGspFAaLu0jIOsyffPUld0ZhdHQIRDbBgsdJnL+YCfDKGBERkV1wDg8RERG5PI7wOIm9E9Pg6eHh6DDqFEmhQFhoGLKysyC4HoXVmD/56mvuvNWejg6BSDYWPEREt/BWe1b5jCKFQgE/Dx9c0nhz8TeiOoIFj5OIXtGdc3iInED6lMPwscHjE4jIuXAODxEREbk8jvA4ieAmWqjcOcRjLbVahZISQ9UNqULMXymjMOJc3hlHh0FEdsSCx0koJCWUVcwboNtIgFKpKp1DwfUercf83cRpOEQujz9hiYiIyOWx4CEiIiKXVycLnvj4eAwYMMD8vSRJWLhwoUWbrVu3QpIk8+t9+/ZBkiRIkgSFQgEfHx906NABL730EnJycirt/1ZlfVy5cgUAYDQasXDhQrRo0QINGjSAn58fOnfujDVr1tj0fImIiKhm6mTBczt3d3e8/vrruHz5cpVtT58+jd9//x3ff/89ZsyYga+++gpt2rTBiRMnrH7fpKQkpKSk4NVXX8WpU6ewd+9ePPPMM+aCiIiIiJyDS0xajomJwS+//ILk5GQsWrTojm2bNm0KX19f+Pv7IzIyEk888QQ6dOiAZ599Ft98841V77tt2zZMnDgRgwcPNm9r166drHMgIiIi+3GJgkepVOK1117DiBEjMGXKFNx9993VPrZBgwaYMGECXnzxReTl5aFp06bVPtbf3x9ff/01Jk6ciCZNmlTrGL1eD71eb35dUFBwc6dUwQFUPcxdzTB/ZpJCUeVKy2WXy8sukZN1mD/5mDtLt05dqYpLFDwAMHDgQLRv3x5z586FTqez6tgWLVoAAM6dO2dVwfP222/jqaeegr+/P1q3bo2uXbviiSeeQN++fSs9Jjk5GUlJSeW2q1QqqNVch0cO5q1mmD9Aobi5FlFYaBj8PHyqdZxWq7VXSPUC8ycfc1fKYtCgCi5T8ADA66+/jocffhjTpk2z6jghShchsaZSBIBWrVrhp59+wg8//IBvv/0WaWlp6NevH+Lj4yuduJyYmIiEhATz64KCAgQFBcFgMEAq4a/Z1lKr3VBSUuzoMOos5q+U0XhzIZ6s7CxcquLREpIkQavVIjMz0/z/B1Uf8ycfc2epsLCw2m1dquDp3r07evfujcTERMTHx1f7uIyMDABASEgIAKBhw4Y4f/58uXZXrlyBUqmEp+fNJwYrFAo88MADeOCBB/DCCy/gn//8J0aNGoWXX34ZoaGh5frQaDTQaDQVB8LPrnVurQ+ZO+sxfxUSJlOVDwQtu5QghODDQ2Vg/uRj7ixZU/S53AXAhQsXYvv27Thw4EC12l+/fh2rV69G9+7dzfNw7r33Xpw8edJirg0AHDlyBKGhoVCr1ZX216pVKwDA1atXZZ4BERER2ZrLFTxt27ZFbGwslixZUuH+vLw85Obm4uzZs9i0aRP+7//+D3/++SdWrlxpbhMbGwtJkjB69Gj88MMP+OWXX7B27VosXrwYU6dONbd76qmnkJKSgkOHDuH8+fPYt28fJk2ahMjISPO8ICIiInI8lyt4AGD+/PmVDvXde++9CAwMRKdOnbBw4ULExMTgp59+Mo/MAICvry/279+PkpIS9O/fH+3bt8eSJUvw9ttv4+9//7u5Xe/evbF9+3b069cPkZGRiIuLQ4sWLfDll19CpXKpq4VERER1miQ468mhCgoK4OPjg9BpkVA3qPxSGVVAumXSLT/F1mP+zIwmEzL/KJ3Llz7lMHyqmLSsUCgQHh6OX375hfMoZGD+5GPuLBUVFaFTp07Iz89Hw4YN79iWwxBOwiSMMJqUjg6jzlEoDBZ32JB1mL9SRmF0dAhEZGcseJzE+YuZAJdDISIisguXnMNDREREdCuO8DiJvRPT4Onh4egw6hRJoUBYaBiysrMgeC3basxfxbzVnlU3IqI6hwUPEdVr3mpPPpOIqB5gweMkold05xweIgeozl1ZRFT38dcaIiIicnkc4XESwU20ULlziMdaarUKJSWGqhtShepr/ozCiHN5ZxwdBhHVIhY8TkIhKaHkPALrSIBSqSpdfKueL5wnS33OH+doE9U7/AlLRERELo8FDxEREbk8ly54cnNzMXnyZISFhUGj0SAoKAj9+vXDnj17AAAhISGQJAmSJMHDwwNt27bFmjVrLPrYt28fJEnClStXLF7fdddduHHjhkXb77//3twfEREROQ+XLXjOnTuHTp064euvv8Ybb7yBEydOYNeuXYiOjsakSZPM7ebPn4+cnBz89NNPGDlyJJ5++ml8/vnnVfbv7e2NLVu2WGzT6XS45557bH4uREREVDMuW/BMnDgRkiQhPT0dgwYNQmRkJFq3bo2EhAQcPHjQ3M7b2xv+/v4ICwvDjBkz4Ofnh927d1fZf1xcHNauXWt+ff36dWzatAlxcXF2OR8iIiKSzyXv0rp06RJ27dqFBQsWwNOz/DLxvr6+5baZTCZs2bIFly9fhptb1beHjxo1Cm+88QZ+/fVX3HPPPfjkk08QEhKCjh073vE4vV4PvV5vfl1QUHBzJ6+Eycfc1Uw9zp+kUFi90nLZZWtJkrhKswzMn3zMnSVrppC4ZMHzyy+/QAiBFi1aVNl2xowZmD17NvR6PQwGA/z8/DB+/Pgqj2vatCn69u2L1NRUzJkzB2vXrsXYsWOrPC45ORlJSUnltqtUKqjVXIdHDuatZupj/hSKm2sPhYWGwc/DR1Y/Wq3WViHVS8yffMxdKYtBgyq4ZMEjRPUXFZk+fTri4+ORk5OD6dOnY+LEiQgPD6/WsWPHjsXzzz+PkSNH4sCBA/j444+xf//+Ox6TmJiIhIQE8+uCggIEBQXBYDBAKqnHv2bLpFa7oaSk2NFh1Fn1NX9G482FeLKys3DJykdLSJIErVaLzMxMq/6/oVLMn3zMnaXCwsJqt3XJgiciIgKSJOHnn3+usm3jxo0RHh6O8PBwfPzxx2jbti3uv/9+tGrVqspj+/bti2eeeQbjxo1Dv3790KhRoyqP0Wg00Gg0Fe/kZ9c6t9aHzJ31mD8AgDCZShdftELZpQQhhNXHEvNXE8ydJWuKPpe8AOjn54fevXtj+fLluHr1arn9ZbeY3y4oKAhDhw5FYmJitd5HpVJh9OjR2LdvX7UuZxEREZFjuGTBAwDLly+H0WhEVFQUPvnkE5w9exYZGRlYsmQJunTpUulxzz//PLZv347Dhw9X631effVVXLx4Eb1797ZV6ERERGRjLlvwhIWF4ciRI4iOjsbUqVPRpk0b9OrVC3v27MHKlSsrPa5Vq1Z49NFHMWfOnGq9j5ubGxo3bszFBomIiJyYS87hKRMQEIBly5Zh2bJlFe4/d+5chdt37dpl/r5nz54W1whvf327AQMGcCIZERGRk3HpgqcuMQkjjCalo8OocxQKg8UdN2Sd+po/ozA6OgQiqmUseJzE+YuZQP1bDoWIiKhWuOwcHiIiIqIyHOFxEnsnpsHTw8PRYdQpkkKBsNAwZGVnQXA9Cqsxf6W81eUfP0NErocFDxHVigbqBja9m1EFBe+OJKJqY8HjJKJXdOccHnJpY8avh1rtbrP+pni2gRqc6E9E1cM5PEREROTyOMLjJIKbaKFy5xCPtdRqFUpKDFU3pArZO38mYUJ23mkAwIAmLeHuVrN5agZhwqcXM2wRGhHVMyx4nIRCUkKp4ICbVSRAqVSVPkCPaz1arxbyJ90yF1opKaCS+BknIsfg/z5ERETk8ljwEBERkctjwQMgPj4ekiRBkiSo1Wo0a9YMvXr1wtq1a0uH+/8nJCQEixcvNr8+duwY+vfvj6ZNm8Ld3R0hISEYOnQo8vLyHHAWREREVBkWPP/Tp08f5OTk4Ny5c/j8888RHR2N559/Ho8//jgMhvKTOi9evIhHHnkEfn5++OKLL5CRkYF169YhMDAQV69edcAZEBERUWU4afl/NBoN/P39AQDNmzdHx44d8eCDD+KRRx5Bamoqxo8fb9H+22+/RX5+PtasWQOVqjSNoaGhiI6OrvXYiYiI6M5Y8NzBww8/jHbt2mHz5s3lCh5/f38YDAZs2bIFTz31VLVXfNXr9dDr9ebXBQUFN3dy0Vj5mLuasVf+bulXIUlQ1HBlZIW4ebykUEDhoLu+yv69S5IEBe+utBrzJx9zZ8ma1dZZ8FShRYsWOH78eLntDz74IGbNmoURI0ZgwoQJiIqKwsMPP4zRo0ejWbNmlfaXnJyMpKSkcttVKhXUaq7DIwfzVjP2zJ/JZDR/7x8QAA9NzZ5bVWI0AHk/AQC0YVpolI79L0yr1Tr0/es65k8+5q6UxaBBFVjwVEEIUWkFuWDBAiQkJODrr7/GoUOH8O677+K1115DWloa2rZtW+ExiYmJSEhIML8uKChAUFAQDAYDpBIOU1hLrXZDSUmxo8Oos+ydv1sn/efm5KBBTRcevKW/zKxMuEmOebSEJEnQarXIzMyEEFwEylrMn3zMnaXCwsJqt2XBU4WMjAyEhoZWur9Ro0YYPHgwBg8ejNdeew0dOnTAm2++iffff7/C9hqNBhqNpuLO+Nm1zq31IXNnvdrI3y39moSAqYb/QZtu6VCYTDA56OGhZZcShBAWRR1VD/MnH3NnyZqijxcA7+Drr7/GiRMnMGjQoGq1d3Nzg1ar5V1aREREToYjPP+j1+uRm5sLo9GIP/74A7t27UJycjIef/xxjB49ulz7HTt2YNOmTRg2bBgiIyMhhMD27duxc+dOrFu3zgFnQERERJVhwfM/u3btQkBAAFQqFe666y60a9cOS5YsQVxcXIUz4Vu1agUPDw9MnToVFy5cgEajQUREBNasWYNRo0Y54AyIiIioMix4AKSmpiI1NbXKdufOnTN/HxYWhtWrV9svKCIiIrIZFjxOwiSMMJocc8dJXaZQGGA0cuKeXPbOn0nc7NsoTDCImr1XTY8novqLBY+TOH8xE+ByMuTCtl7MgFrt7ugwiKie4l1aRERE5PI4wuMk9k5Mg6dHzRZlq28khQJhoWHIys6C4HoUVqvt/DVQN7BqGfiqqPj7GhFZgQUPEdWK6yXXq2zjrfbk84GIyC5Y8DiJ6BXdOYeH6r30KYfho/F2dBhE5IL4qxQRERG5PI7wOIngJlqo3DnEYy21WoWSEoOjw6iznCF/RmHEubwzDo2BiFwfCx4noZCUUHLugnUkQKlUlT5Ajw8PtZ6z5I/zzYmoFvAnLBEREbk8mxU8V65csVVXRERERDYlq+B5/fXX8eGHH5pfDxkyBI0aNULz5s1x7NgxmwVna/Hx8ZAkCQsXLrTYvnXrVov1QYxGI1JSUtC2bVu4u7vjrrvuQt++ffHtt9+a26xcuRK+vr64cOGCRV+TJ09GZGQkrl27Zt+TISIiomqTVfC8++67CAoKAgDs3r0bu3fvxueff46+ffti+vTpNg3Q1tzd3fH666/j8uXLFe4XQmDYsGGYP38+nn/+eWRkZGDfvn0ICgpCz549sXXrVgDAhAkTEBUVhXHjxpmP3bNnD1auXInU1FR4cBFBIiIipyGr4MnNzTUXPDt27MCQIUPw6KOP4qWXXsL3339v0wBtLSYmBv7+/khOTq5w/0cffYR///vfWL9+PcaPH4/Q0FC0a9cOq1evRv/+/TF+/HhcvXoVkiRBp9Ph0KFDePfdd1FQUICxY8ciISEBXbt2reWzIiIiojuRdZfWXXfdhQsXLiAoKAi7du3CP/7xDwCloyNGo9GmAdqaUqnEa6+9hhEjRmDKlCm4++67LfZv2LABkZGR6NevX7ljp06dis2bN2P37t0YMGAAgoKCsHjxYkyZMgU7d+6El5cXXn311Tu+v16vh16vN78uKCi4udN2q+7XP8xdzThJ/iSFok6stFx2CVySpDoRr7Nh/uRj7ixZ87gaWQXPk08+iREjRiAiIgJ//fUX+vbtCwD48ccfER4eLqfLWjVw4EC0b98ec+fOhU6ns9h35swZtGzZssLjyrafOXNzzZAxY8Zg9erV2L59Ow4dOgSNRnPH905OTkZSUlK57SqVCmo11+GRg3mrGUfnT6G4uQ5QWGgY/Dx8HBiNdbRaraNDqNOYP/mYu1IWgwZVkFXwpKSkICQkBBcuXMCiRYvg5eUFAMjJycHEiRPldFnrXn/9dTz88MOYNm1auX1CVH9RkmPHjuHIkSPw8PDA/v37ERUVdcf2iYmJSEhIML8uKChAUFAQDAYDpBIn+TW7DlGr3VBSUuzoMOosZ8if0XhzIZ6s7CxcqgOPlpAkCVqtFpmZmVb9f0GlmD/5mDtLhYWF1W4rq+BRq9UVFgovvviinO4conv37ujduzcSExMRHx9v3h4ZGYmMjIwKjynbHhkZCQAoLi7G6NGjERsbix49emDChAl4/PHHce+991b6vhqNpvJRIH52rXNrfcjcWc8J8ydMptKFEJ1c2aUEIUSdiNfZMH/yMXeWrCn6ZF8A/OCDD/DQQw8hMDAQ58+fBwAsXrwYn376qdwua93ChQuxfft2HDhwwLxt2LBhOHv2LLZv316u/VtvvYVGjRqhV69eAID58+fj0qVLSElJQVxcHHr16oUxY8bwQ0hERORkZBU8K1euREJCAvr27YsrV66YJyr7+vpi8eLFtozPrtq2bYvY2FgsWbLEvG3YsGEYOHAg4uLioNPpcO7cORw/fhx///vfsW3bNqxZswaenp74/vvv8frrr0On08HHp3TOwapVq3D69GmkpKQ46pSIiIioArIKnqVLl+K9997Dyy+/DKVSad5+//3348SJEzYLrjbMnz/fYkRGkiR89NFHmDVrFlJSUnDvvfeiW7duOH/+PPbt24cBAwZAr9cjLi4OY8aMwaOPPmo+NiAgAEuXLsXs2bNx+vRpR5wOERERVUDWHJ7s7Gx06NCh3HaNRoOrV6/WOCh7SU1NLbctJCTE4jZxoPSOqWnTplU4TwkoPc9Tp05VuG/EiBEYMWJEjWMlIiIi25FV8ISGhuLo0aMIDg622L5r165Kb+mmOzMJI4wmZdUNyYJCYbC4y4es4wz5MwrnXruLiFyDrIInISEBkyZNwo0bNyCEQHp6OjZu3Ijk5GSsWbPG1jHWC+cvZgJcToaIiMguZBU848ePR4MGDTB79mxcu3YNI0aMQGBgIN555x0MGzbM1jESERER1YjVBY/BYMCGDRvQu3dvxMbG4tq1aygqKkLTpk3tEV+9sXdiGjz5wFGrSAoFwkLDkJWdBcGlAKzmjPnzVns6OgQiclFWFzwqlQoTJkwwL8Ln4eHBJ4MTUaW81Z585g8ROZysS1pRUVH48ccfy01aJvmiV3TnHB5ySelTDsOnDjwugohcm6yCZ+LEiZg6dSr++9//olOnTvD0tByGvu+++2wSHBEREZEtyCp4yiYmT5kyxbxNkiQIISBJknnlZaq+4CZaqNw5xGMttVqFkhJD1Q2pQvbKn1EYcS7vjM37JSKSS/bCg2RbCkkJJec5WEcClEpV6UrZTvLwyzrFnvlzjjnQRERmsgoezt0hIiKiukRWwbN+/fo77h89erSsYIiIiIjsQVbB8/zzz1u8LikpwbVr1+Dm5gYPD496U/DEx8fj/fffN7/28/PDAw88gEWLFnHiNhERkRORNWnk8uXLFl9FRUU4ffo0HnroIWzcuNHWMTq1Pn36ICcnBzk5OdizZw9UKhUef/xxR4dFREREt7DZLNmIiAgsXLiw3OiPq9NoNPD394e/vz/at2+PmTNn4sKFC7h48aKjQyMiIqL/kXVJq9LOVCr8/vvvtuyyTikqKsI///lPhIeHo1GjRhW20ev10Ov15tcFBQU3d0r2jtCFMXc1Y8f8SQqFy620LEmS+U9XO7fawPzJx9xZKstHdcgqeLZt22bxWgiBnJwcLFu2DP/3f/8np8s6a8eOHfDy8gIAXL16FQEBAdixY0elH8Tk5GQkJSWV265SqaBWcx0eOZi3mrFH/hSKm2v7hIWGwc/Dx+bv4Qy0Wq2jQ6jTmD/5mLtSFoMGVZCEEFavwHH7D3NJktCkSRM8/PDDeOuttxAQEGBtl3VSfHw8fvvtN6xcuRJA6dymFStWYOfOnUhPT6/w9v2KRniCgoIQOi0Sag91rcXuKtRqN5SUFDs6jDrLXvkzGk3I/KP0eXvfv3AEvi72aAlJkqDVapGZmQkZ/4XWe8yffMydpcLCQnTs2BH5+flo2LDhHdvKGuExOcmTlZ2Bp6cnwsPDza/XrFkDHx8fvPfee/jHP/5Rrr1Go4FGo6m4M352rXPrSCZzZ71ayp8wmVzu/4yyX/qEEC53brWB+ZOPubNkTdEn6wLg/Pnzce3atXLbr1+/jvnz58vp0mWUXVe9fv26o0MhIiKi/5FV8CQlJaGoqKjc9mvXrlU4P8WV6fV65ObmIjc3FxkZGZg8eTKKiorQr18/R4dGRERE/yPrklbZQ0Jvd+zYMfj5+dU4qLpk165d5jlL3t7eaNGiBT7++GP07NnTsYERERGRmVUFz1133QVJkiBJEiIjIy2KHqPRiKKiIkyYMMHmQTqr1NRUpKam2qQvkzDCaFLapK/6RKEwwGjkdWy57JU/ozDavE8iopqwquBZvHgxhBAYO3YskpKS4ONz81ZTNzc3hISEoEuXLjYPsj44fzET4N3VREREdmFVwRMXFwcACA0NRdeuXaFW8zZqIiIicn6y5vD06NHD/P2NGzdQXGy5jkdV98JTeXsnpsHTw8PRYdQpkkKBsNAwZGVnQfD2TKvVVv681Z5265uIqLpkFTzXrl3DSy+9hI8++gh//fVXuf1GI6/fW8vHzQueGv5gsIZCoYCfhw8uaby5HoUMzB8R1SeyCp7p06dj7969WLlyJUaNGoXly5fjt99+w6pVq7Bw4UJbx1gv5BcXwaDiDx1rSAoFLl3LxxV9IUd4ZKit/HmrPfnMHyJyOFkFz/bt27F+/Xr07NkTY8aMQbdu3RAeHo7g4GD861//QmxsrK3jdHnRK7pz0jK5pPQph+HjYo+WIKK6R9avXZcuXUJYWBiA0vk6ly5dAgA89NBDSEtLs110RERERDYga4QnLCwM2dnZuOeee9CiRQt89NFHiIqKwvbt2+Hr62vjEOuH4CZaqNw5xGMttVqFkhJD1Q2pQvbKn1EYcS7vjM37JSKSS1bBM2bMGBw7dgw9evTAzJkz0a9fPyxbtgwlJSV4++23bR1jvaCQlFBynoN1JECpVJVOuOXDQ61nz/xxShURORlZBc+LL75o/j4mJgY///wzfvjhB4SHh+O+++6zWXBEREREtlDjIYUbN24gODgYTz75ZJ0qdg4cOAClUom//e1v5fYVFxfjjTfeQMeOHeHp6QkfHx+0a9cOs2fPxu+//25uFx8fb37Uxq1fffr0qc1TISIioirIKniMRiNeffVVNG/eHF5eXsjKygIAvPLKK9DpdDYN0F50Oh0mT56MtLQ0iyJGr9ejV69eeO211xAfH4+0tDScOHECS5YswZ9//omlS5da9NOnTx/k5ORYfG3cuLG2T4eIiIjuQNYlrQULFuD999/HokWL8PTTT5u3t2nTBosXL8a4ceNsFqA9FBUV4cMPP8Thw4eRm5uL1NRUzJo1CwCQkpKCb775BocPH0aHDh3Mx9xzzz3o0aMHhLCc7KDRaODv71+r8RMREZF1ZI3wrF+/HqtXr0ZsbCyUyptP+G7Xrh1+/vlnmwVnLx999BFatGiBe++9FyNHjsTatWvNhczGjRvRq1cvi2LnVrc+IZ6IiIjqBlkjPL/99hvCw8PLbTeZTCgpKalxUPam0+kwcuRIAKWXpPLz8/Gf//wHPXv2xJkzZ9CzZ0+L9gMHDsTu3bsBAPfddx++++47874dO3bAy8vLov2sWbPMI0a30+v10Ov15tcFBQU3d7KWko+5qxk75k9SKFxupeWyX3wkSXK5c6sNzJ98zJ0lawYhZBU8rVq1wv79+xEcHGyx/d///nelIyPO4vTp00hPT8eWLVsAACqVCkOHDoVOpytX6JRZsWIFrl69iiVLlpRbWDE6OhorV6602Obn51fp+ycnJyMpKancdpVKBbWa6/DIwbzVjD3yp1DcXNsnLDQMfh4+Nn8PZ6DVah0dQp3G/MnH3JWyGDSogqyCZ86cOYiLi8Nvv/0Gk8mEzZs34/Tp01i/fj127Nghp8tao9PpYDAYEBgYaN4mhIBGo8GyZcsQERGB06dPWxwTEBAAoOJCxtPTs8LRrsokJiYiISHB/LqgoABBQUEwGAyQSjhMYS212g0lJcWODqPOslf+jMabC/FkZWfhkos9WkKSJGi1WmRmZpab10dVY/7kY+4sFRYWVrutVQVPVlYWQkND8cQTT2D79u2YP38+PD09MWfOHHTs2BHbt29Hr169rA64thgMBqxfvx5vvfUWHn30UYt9AwYMwMaNGzF8+HDMnj0bP/74o11GqzQaDTQaTcU7+dm1zq31IXNnvVrKnzCZXO5p7GWXEoQQLndutYH5k4+5s2RN0WdVwRMREYGcnBw0bdoU3bp1g5+fH06cOIFmzZpZHaQj7NixA5cvX8a4cePg42M5xD5o0CDodDrs378fn332GR555BHMnTsX3bp1w1133YUzZ87g888/t5ikDZTOycnNzbXYplKp0LhxY7ufDxEREVWPVQXP7ZXU559/jqtXr9o0IHvS6XSIiYkpV+wApQXPokWLcObMGezZsweLFy/GunXrkJiYCJPJhNDQUPTt29dilWkA2LVrl/mSV5l77723TtytRkREVF/ImsNTpq5dP9y+fXul+6KioizOZ8aMGZgxY8Yd+0tNTUVqaqqtwiMiIiI7sargKXt0wu3bqOZMwgijSVl1Q7KgUBgsJsiSdeyVP6Mw2rxPIqKasPqSVnx8vHnS7Y0bNzBhwgR4enpatNu8ebPtIqwnzl/MBHh3NRERkV1YVfDExcVZvC5bvI+IiIjImVlV8Kxbt85ecdR7eyemwdPDw9Fh1CmSQoGw0DBkZWdB8PZMq9VW/rzVnlU3IiKysxpNWibb8XHzgqeGPxisoVAo4Ofhg0sab65HIQPzR0T1CQseJ5FfXASDij90rCEpFLh0LR9X9IUc4ZGhJvnzVnvyOT5EVKew4HES0Su6c9Iy1RnpUw7Dx8UeF0FEro2/ohEREZHL4wiPkwhuooXKnUM81lKrVSgpMVTdkCpkTf6MwohzeWfsHBERkX2w4HESCkkJJedEWEcClEpV6YTburXot3OwNn+cJkVEdRh/whIREZHLq5cFT9kjMir7mjdvnrltixYtoNFoyj0R/erVq9BqtUhISLDYfu7cOTRs2BDvvfdebZwKERERVUO9LHhycnLMX4sXL0bDhg0ttk2bNg0A8M033+D69et46qmn8P7771v04enpiXXr1mHp0qXYv38/gNJHb4wZMwb/93//h6effrrWz4uIiIgqVi/n8Pj7+5u/9/HxgSRJFtvK6HQ6jBgxAj169MDzzz9f7unp3bt3x+TJkzFmzBgcO3YM7733Ho4ePYqffvrJ7udARERE1VcvC57qKCwsxMcff4xDhw6hRYsWyM/Px/79+9GtWzeLdgsWLMDOnTsxcuRIfPHFF1i9ejWaN29eab96vR56vd78uqCg4OZOPnhePuauZqzMn6RQ1OuFByVJMv9Zn/MgF/MnH3NnqSwf1cGCpxKbNm1CREQEWrduDQAYNmwYdDpduYKnQYMGeOedd9CnTx/07du3ygeqJicnIykpqdx2lUoFtZq3pcvBvNVMdfOnUNy8fT0sNAx+Hj72CqnO0Gq1jg6hTmP+5GPuSlkMGlSBBU8l1q5da1G8jBw5Ej169MDSpUvh7W25wqxOp4OHhwdOnDiB/Px8+PhU/oMgMTHRYqJzQUEBgoKCYDAYIJVwmMJaarUbSkqKHR1GnWVN/ozGm/elZ2Vn4VI9XmlZkiRotVpkZmZCCK6JYC3mTz7mzlJhYWG127LgqcCpU6dw8OBBpKenW8zbMRqN2LRpk8WE5A8//BA7duzAgQMHMHz4cLz44otYu3ZtpX1rNBpoNJqKd/Kza51b60Pmzno1yJ8wmer1A0fLLiUIIep1HuRi/uRj7ixZU/TxAmAFdDodunfvjmPHjuHo0aPmr4SEBOh0OnO7P/74A5MmTcI//vEPtGvXDqmpqVi/fj0+//xzB0ZPREREt2PBc5uSkhJ88MEHGD58ONq0aWPxNX78eBw6dAgnT54EADzzzDNo2bIlXnjhBQBAVFQUpk+fjmeeeQb5+fkOPAsiIiK6FQue22zbtg1//fUXBg4cWG5fy5Yt0bJlS+h0Oqxfvx5fffUV1q1bZzFTPikpCb6+vnjxxRdrM2wiIiK6g3o/hyc+Ph7x8fHm14MGDYLRaKy0/alTp8zfjx49utx+Nzc3nDhxwqYxEhERUc3U+4LHWZiEEUaT0tFh1DkKhcHi7iGyjjX5M4rKfxEgInJ2LHicxPmLmQCXkyEiIrILzuEhIiIil8cRHiexd2IaPD08HB1GnSIpFAgLDUNWdhYE16OwWk3y5632tFNURET2wYLHSfi4ecFTwx8i1lAoFPDz8MEljTcX4JKB+SOi+oQFj5PILy6CQcUfOtaQFApcupaPK/pCjvDIcGv+vJQN+CBCInJpLHicRPSK7py0TA6TPuUwfOrxs7GIyPXxVzoiIiJyeRzhcRLBTbRQuXOIx1pqtQolJQZHh1EnmYQR2XlnHB0GEVGtYMHjJBSSEkrOobCOBCiVqtIJt3xauvU47YmI6hH+hCUiIiKX59CCJz4+HpIkQZIkuLm5ITw8HPPnz8fIkSPN2yv6CgkJAQD07NnTvM3d3R2RkZFITk6GEOV/3T9w4ACUSiX+9re/Vfj+Vb1P2RPRy5w8eRJDhgxBkyZNoNFoEBkZiTlz5uDatWv2ShcRERHJ5PARnj59+iAnJwdnz57F1KlTMW/ePERERCAnJ8f8BQDr1q0zv/7+++/Nxz/99NPIycnB6dOnkZiYiDlz5uDdd98t9z46nQ6TJ09GWloafv/9dwDAO++8U+33udXBgwfRuXNnFBcX47PPPsOZM2ewYMECpKamolevXiguLrZ1moiIiKgGHD6HR6PRwN/fHwDw7LPPYsuWLdi1axfmzp1r0c7X19fc7lYeHh7m7WPGjMGyZcuwe/duPPvss+Y2RUVF+PDDD3H48GHk5uYiNTUVs2bNgo+PD3x8fKr1PmWEEBg3bhxatmyJzZs3m9cuCQ4ORmRkJDp06ICUlBTMmDFDXkKIiIjI5hxe8NyuQYMG+Ouvv6w+TgiBb775Bj///DMiIiIs9n300Udo0aIF7r33XowcORIvvPACEhMTIUmS1e9z9OhRnDp1Chs2bCi3UFu7du0QExODjRs3Vlrw6PV66PV68+uCgoKbO60Ph8owdzUiKRRceNAKZf93SJLEvMnA/MnH3Fmy5ue40xQ8Qgjs2bMHX3zxBSZPnlzt41asWIE1a9aguLgYJSUlcHd3x5QpUyza6HQ6jBw5EkDpJbT8/Hz85z//Qc+ePa2O88yZ0tt4W7ZsWeH+li1b4ptvvqn0+OTkZCQlJZXbrlKpoFbztnQ5mDd5FIqbt/OHhYbBz8PnDq2pIlqt1tEh1GnMn3zMXSmLQYMqOLzg2bFjB7y8vFBSUgKTyYQRI0Zg3rx51T4+NjYWL7/8Mi5fvoy5c+eia9eu6Nq1q3n/6dOnkZ6eji1btgAoLSyGDh0KnU4nq+ApU9HE6OpITExEQkKC+XVBQQGCgoJgMBgglXCYwlpqtRtKSjhnSg6j8eZ96VnZWbjElZarTZIkaLVaZGZmyv6/oD5j/uRj7iwVFhZWu63DC57o6GisXLkSbm5uCAwMhEplXUg+Pj4IDw8HUHrpKjw8HA8++CBiYmIAlI7uGAwGBAYGmo8RQkCj0WDZsmXl5vBUJTIyEgCQkZGBDh06lNufkZFhblMRjUYDjUZT8U5+dq1za33I3NWIMJn4AFErlF1KEEIwbzIwf/Ixd5asKfocfgHQ09MT4eHhuOeee6wudm7n5eWF559/HtOmTYMQAgaDAevXr8dbb72Fo0ePmr+OHTuGwMBAbNy40er3aN++PVq0aIGUlJRyH7Zjx47hq6++wvDhw2t0HkRERGRbDi94bO3vf/87zpw5g08++QQ7duzA5cuXMW7cOLRp08bia9CgQdDpdFb3L0kSdDodTp06hUGDBiE9PR2//vorPv74Y/Tr1w9dunQpt2YPEREROZbLFTx+fn4YPXo05s2bB51Oh5iYmAovWw0aNAiHDx/G8ePHrX6Prl274uDBg1Aqlejbty/Cw8ORmJiIuLg47N69u/JLVkREROQQDp3Dk5qaWq12lV2j27dvX4XbK1p48HZRUVHl+rXmfdq2bYt///vfVb4PEREROZ7DJy1TKZMwwmhSOjqMOkehMFjcbUTVZxJGR4dARFRrWPA4ifMXMwEuJ0NERGQXLjeHh4iIiOh2HOFxEnsnpsHTw8PRYdQpkkKBsNAwZGVnQXA9Cqvdmj8vZQNHh0NEZFcseKhK3mpPp3xmi0KhgJ+HDy5pvLkAlwzMHxHVJyx4nET0iu5OO4cnfcph+PCxA0REVIc536/tRERERDbGER4nEdxEC5W78wzxGIUR5/LOODoMIiIim2DB4yQUkhJKZ5onwykdRETkQpzoJywRERGRfbDgISIiIpfHguc2+/btgyRJlX5FR0fj3LlzkCQJTZs2RWFhocXx7du3x7x58xwTPBEREVWIBc9tunbtipycnHJfq1atgiRJmDhxorltYWEh3nzzTQdGS0RERNXBguc2bm5u8Pf3t/i6fPkypk2bhlmzZmHw4MHmtpMnT8bbb7+NvLw8B0ZMREREVeFdWlW4cuUKnnjiCfTs2ROvvvqqxb7hw4dj9+7dmD9/PpYtW1at/vR6PfR6vfl1QUHBzZ2STUK2OUmhcMqVliVJMv/pjPE5O+ZPPuauZpg/+Zg7S2X5qA4WPHdgMpkwYsQIqFQq/Otf/yqXWEmSsHDhQvTr1w8vvvgitFptlX0mJycjKSmp3HaVSgW12nnW4VEoDObvw0LD4Ofh48Bo7qw6eafKMX/yMXc1w/zJx9yVshg0qAILnjuYNWsWDhw4gPT0dHh7V/xohd69e+Ohhx7CK6+8gg0bNlTZZ2JiIhISEsyvCwoKEBQUBIPBAKnEeYZ4jMabC/FkZWfhkhM+WkKSJGi1WmRmZkII4ehw6hzmTz7mrmaYP/mYO0u33zh0Jyx4KrFp0ya8+eab+OyzzxAREXHHtgsXLkSXLl0wffr0KvvVaDTQaDQV73TSz64wmZzy4ZJlw7lCCKeMz9kxf/IxdzXD/MnH3FmypujjBcAKHD16FOPGjcPChQvRu3fvKttHRUXhySefxMyZM2shOiIiIrIWR3hu8+eff2LAgAHo2bMnRo4cidzcXIv9SqWywuMWLFiA1q1bQ6ViSomIiJwNfzrf5rPPPsP58+dx/vx5BAQElNsfHByMffv2ldseGRmJsWPHYvXq1bUQJREREVmDBc9t4uLiEBcXV2W7iq4brlq1CqtWrbJHWERERFQDLHichEkYYTRVfLnMEYzC6OgQiIiIbIYFj5M4fzETcJ5leIiIiFwK79IiIiIil8cRHiexd2IaPD08HB1GhbzVno4OgYiIqEZY8DgJHzcveGpYWBAREdkDL2kRERGRy2PB4yTyi4scHQIREZHLYsFDRERELo8FDxEREbk8FjxERETk8ljwEBERkcurVwVPfHw8JEmCJElQq9UIDQ3FSy+9hBs3bli0++9//ws3Nze0adOmwn7K+pAkCZ6enoiIiEB8fDx++OGH2jgNIiIislK9KngAoE+fPsjJyUFWVhZSUlKwatUqzJ0716JNamoqhgwZgoKCAhw6dKjCftatW4ecnBycPHkSy5cvR1FRETp37oz169fXxmkQERGRFepdwaPRaODv74+goCAMGDAAMTEx2L17t3m/EALr1q3DqFGjMGLECOh0ugr78fX1hb+/P0JCQvDoo4/i3//+N2JjY/Hcc8/h8uXLtXU6REREVA31eqXln376Cd999x2Cg4PN2/bu3Ytr164hJiYGzZs3R9euXZGSkgJPz6pXQX7xxRexfv167N69G0OGDKmwjV6vh16vN78uKCgAUHqZTKGod/VnjUiSZP6TubMe8ycfc1czzJ98zJ2lsnxUR70reHbs2AEvLy8YDAbo9XooFAosW7bMvF+n02HYsGFQKpVo06YNwsLC8PHHHyM+Pr7Kvlu0aAEAOHfuXKVtkpOTkZSUVG578D3BCPEPsvp8CNBqtY4OoU5j/uRj7mqG+ZOPuStVNmhQHfWu4ImOjsbKlStx9epVpKSkQKVSYdCgQQCAK1euYPPmzfjmm2/M7UeOHAmdTletgkcIAeDOFWdiYiISEhLMrwsKChAUFITzv56HoUhf6XFUniRJ0Gq1yMzMNOeeqo/5k4+5qxnmTz7mzlJhYWG129a7gsfT0xPh4eEAgLVr16Jdu3bQ6XQYN24cNmzYgBs3bqBz587m9kIImEwmnDlzBpGRkXfsOyMjAwAQGhpaaRuNRgONRlNue9n7UPWVDecyd/Iwf/IxdzXD/MnH3Fmypuir1xcAFQoFZs2ahdmzZ+P69evQ6XSYOnUqjh49av46duwYunXrhrVr11bZ3+LFi9GwYUPExMTUQvRERERUXfW64AGAwYMHQ6lUYvny5Thy5AjGjx+PNm3aWHwNHz4c77//PgwGg/m4K1euIDc3F+fPn8fu3bvx1FNPYcOGDVi5ciV8fX0dd0JERERUTr0veFQqFZ577jkkJiYiJCTEPPH4VgMHDkReXh527txp3jZmzBgEBASgRYsWePbZZ+Hl5YX09HSMGDGiNsMnIiKiaqhXc3hSU1Mr3D5z5kzMnDmz0uP8/f1hNBrNrzlRjIiIqG6p9yM8RERE5PpY8BAREZHLY8HjJHzcvBwdAhERkctiwUNEREQujwUPERERuTwWPEREROTyWPA4ifziIkeHQERE5LJY8BAREZHLY8FDRERELo8FDxEREbk8FjxERETk8lyu4MnNzcXkyZMRFhYGjUaDoKAg9OvXD3v27AEAhISEYPHixeWOmzdvHtq3b19u+3//+1+4ubmhTZs2Fb7ff/7zHzz88MPw8/ODh4cHIiIiEBcXh+LiYlueFhEREdWASxU8586dQ6dOnfD111/jjTfewIkTJ7Br1y5ER0dj0qRJsvpMTU3FkCFDUFBQgEOHDlnsO3XqFPr06YP7778faWlpOHHiBJYuXQo3NzeLh40SERGRY7nU09InTpwISZKQnp4OT09P8/bWrVtj7NixVvcnhMC6deuwYsUK3H333dDpdOjcubN5/5dffgl/f38sWrTIvE2r1aJPnz41OxEiIiKyKZcpeC5duoRdu3ZhwYIFFsVOGV9fX6v73Lt3L65du4aYmBg0b94cXbt2RUpKirl/f39/5OTkIC0tDd27d69Wn3q9Hnq93vy6oKAAACBJEhQKlxpwsztJksx/MnfWY/7kY+5qhvmTj7mzVJaParUVQgg7xlJr0tPT0blzZ2zevBkDBw6stF1ISAhycnKgVqstthcXF6NVq1Y4evSoeVtsbCyaNm2KlJQUAED79u3xwgsvID4+HgBgNBoxfvx4pKamwt/fHw8++CAeeeQRjB49Gg0bNqzw/efNm4ekpKRy27NzfkWIf5CVZ01ERFR/FRQUwMfHB/n5+ZX+3C3jMgXPoUOH8OCDD1ar4Bk5cqS5aCmzZMkSpKWlmQueK1euICAgAN988w06deoEAHjzzTfx6aefYv/+/RbH/vbbb/j6669x6NAhbN68GUqlEunp6QgICCj3/hWN8AQFBWHfof1o7ucv8+zrJ0mSoNVqkZmZCRf5GNcq5k8+5q5mmD/5mDtLhYWF6NixY7UKHpe5pBUREQFJkvDzzz9X2bZx48YIDw+32Obn52fxesOGDbhx44bFnB0hBEwmE86cOYPIyEjz9ubNm2PUqFEYNWoUXn31VURGRuLdd9+tcCRHo9FAo9GU217WN1Vf2XAucycP8ycfc1czzJ98zJ0la4o+l7kA6Ofnh969e2P58uW4evVquf1Xrlyxqj+dToepU6fi6NGj5q9jx46hW7duWLt2baXH3XXXXQgICKgwBiIiInIMlyl4AGD58uUwGo2IiorCJ598grNnzyIjIwNLlixBly5dqt3P0aNHceTIEYwfPx5t2rSx+Bo+fDjef/99GAwGrFq1Cs8++yy+/PJLZGZm4uTJk5gxYwZOnjyJfv362fFMiYiIyBouVfCEhYXhyJEjiI6OxtSpU9GmTRv06tULe/bswcqVK6vdj06nQ6tWrdCiRYty+wYOHIi8vDzs3LkTUVFRKCoqwoQJE9C6dWv06NEDBw8exNatW9GjRw9bnhoRERHVgMtMWq6rymaY7z2YhsC7mjk6nDpFoVAgPDwcv/zyC69ly8D8ycfc1QzzJx9zZ6moqAidOnWq1qRllxrhISIiIqoICx4iIiJyeSx4nISPm5ejQyAiInJZLHiIiIjI5bHgISIiIpfHgoeIiIhcHgseIiIicnkseIiIiMjlseAhIiIil8eCh4iIiFweCx4iIiJyeSx4iIiIyOWx4CEiIiKXx4KHiIiIXB4LHiIiInJ5KkcHUN8JIQAARUVF5u+peiRJQkFBAQoLC5k7GZg/+Zi7mmH+5GPuLBUVFQFAtXLBgsfB/vrrLwBA9+7dHRwJERFR3VRYWAgfH587tmHB42B+fn4AgF9//bXKvyyyVFBQgKCgIFy4cAENGzZ0dDh1DvMnH3NXM8yffMydJSEECgsLERgYWGVbFjwOplCUTqPy8fHhh1emhg0bMnc1wPzJx9zVDPMnH3N3U3UHCzhpmYiIiFweCx4iIiJyeSx4HEyj0WDu3LnQaDSODqXOYe5qhvmTj7mrGeZPPuZOPknwvjYiIiJycRzhISIiIpfHgoeIiIhcHgseIiIicnkseIiIiMjlseCxg+XLlyMkJATu7u7o3Lkz0tPT79j+448/RosWLeDu7o62bdti586dFvuFEJgzZw4CAgLQoEEDxMTE4OzZs/Y8BYexZe5KSkowY8YMtG3bFp6enggMDMTo0aPx+++/2/s0HMLWn7tbTZgwAZIkYfHixTaO2nnYI38ZGRno378/fHx84OnpiQceeAC//vqrvU7BYWydu6KiIjz33HO4++670aBBA7Rq1QrvvvuuPU/BoazJ38mTJzFo0CCEhITc8d+ktX8n9YIgm9q0aZNwc3MTa9euFSdPnhRPP/208PX1FX/88UeF7b/99luhVCrFokWLxKlTp8Ts2bOFWq0WJ06cMLdZuHCh8PHxEVu3bhXHjh0T/fv3F6GhoeL69eu1dVq1wta5u3LlioiJiREffvih+Pnnn8WBAwdEVFSU6NSpU22eVq2wx+euzObNm0W7du1EYGCgSElJsfOZOIY98vfLL78IPz8/MX36dHHkyBHxyy+/iE8//bTSPusqe+Tu6aefFlqtVuzdu1dkZ2eLVatWCaVSKT799NPaOq1aY23+0tPTxbRp08TGjRuFv79/hf8mre2zvmDBY2NRUVFi0qRJ5tdGo1EEBgaK5OTkCtsPGTJE/O1vf7PY1rlzZ/H3v/9dCCGEyWQS/v7+4o033jDvv3LlitBoNGLjxo12OAPHsXXuKpKeni4AiPPnz9smaCdhr9z997//Fc2bNxc//fSTCA4OdtmCxx75Gzp0qBg5cqR9AnYi9shd69atxfz58y3adOzYUbz88ss2jNw5WJu/W1X2b7ImfboyXtKyoeLiYvzwww+IiYkxb1MoFIiJicGBAwcqPObAgQMW7QGgd+/e5vbZ2dnIzc21aOPj44POnTtX2mddZI/cVSQ/Px+SJMHX19cmcTsDe+XOZDJh1KhRmD59Olq3bm2f4J2APfJnMpnw2WefITIyEr1790bTpk3RuXNnbN261W7n4Qj2+ux17doV27Ztw2+//QYhBPbu3YszZ87g0Ucftc+JOIic/DmiT1fBgseG/vzzTxiNRjRr1sxie7NmzZCbm1vhMbm5uXdsX/anNX3WRfbI3e1u3LiBGTNmYPjw4S710D175e7111+HSqXClClTbB+0E7FH/vLy8lBUVISFCxeiT58++PLLLzFw4EA8+eST+M9//mOfE3EAe332li5dilatWuHuu++Gm5sb+vTpg+XLl6N79+62PwkHkpM/R/TpKvi0dKoXSkpKMGTIEAghsHLlSkeH4/R++OEHvPPOOzhy5AgkSXJ0OHWOyWQCADzxxBN48cUXAQDt27fHd999h3fffRc9evRwZHhOb+nSpTh48CC2bduG4OBgpKWlYdKkSQgMDCw3OkRUXRzhsaHGjRtDqVTijz/+sNj+xx9/wN/fv8Jj/P3979i+7E9r+qyL7JG7MmXFzvnz57F7926XGt0B7JO7/fv3Iy8vD/fccw9UKhVUKhXOnz+PqVOnIiQkxC7n4Sj2yF/jxo2hUqnQqlUrizYtW7Z0qbu07JG769evY9asWXj77bfRr18/3HfffXjuuecwdOhQvPnmm/Y5EQeRkz9H9OkqWPDYkJubGzp16oQ9e/aYt5lMJuzZswddunSp8JguXbpYtAeA3bt3m9uHhobC39/fok1BQQEOHTpUaZ91kT1yB9wsds6ePYuvvvoKjRo1ss8JOJA9cjdq1CgcP34cR48eNX8FBgZi+vTp+OKLL+x3Mg5gj/y5ubnhgQcewOnTpy3anDlzBsHBwTY+A8exR+5KSkpQUlIChcLyx5NSqTSPnLkKOflzRJ8uw9Gzpl3Npk2bhEajEampqeLUqVPimWeeEb6+viI3N1cIIcSoUaPEzJkzze2//fZboVKpxJtvvikyMjLE3LlzK7wt3dfXV3z66afi+PHj4oknnnDZ29Jtmbvi4mLRv39/cffdd4ujR4+KnJwc85der3fIOdqLPT53t3Plu7Tskb/NmzcLtVotVq9eLc6ePSuWLl0qlEql2L9/f62fnz3ZI3c9evQQrVu3Fnv37hVZWVli3bp1wt3dXaxYsaLWz8/erM2fXq8XP/74o/jxxx9FQECAmDZtmvjxxx/F2bNnq91nfcWCxw6WLl0q7rnnHuHm5iaioqLEwYMHzft69Ogh4uLiLNp/9NFHIjIyUri5uYnWrVuLzz77zGK/yWQSr7zyimjWrJnQaDTikUceEadPn66NU6l1tsxddna2AFDh1969e2vpjGqPrT93t3PlgkcI++RPp9OJ8PBw4e7uLtq1aye2bt1q79NwCFvnLicnR8THx4vAwEDh7u4u7r33XvHWW28Jk8lUG6dT66zJX2X/r/Xo0aPafdZXkhBCOGhwiYiIiKhWcA4PERERuTwWPEREROTyWPAQERGRy2PBQ0RERC6PBQ8RERG5PBY8RERE5PJY8BAREZHLY8FDRC5j3759kCQJV65csXnfkiRh69atTtMPEVmHBQ8RWSU3NxeTJ09GWFgYNBoNgoKC0K9fP4tn94SEhGDx4sWOC9IJzJs3D+3bty+3PScnB3379rX7+//4448YPHgwmjVrBnd3d0RERODpp5/GmTNnANy5OOTfH7kiFjxEVG3nzp1Dp06d8PXXX+ONN97AiRMnsGvXLkRHR2PSpEmODk+WkpKSWn0/f39/aDQau77Hjh078OCDD0Kv1+Nf//oXMjIy8M9//hM+Pj545ZVX7PreRM6KBQ8RVdvEiRMhSRLS09MxaNAgREZGonXr1khISMDBgwer3c/333+PXr16oXHjxvDx8UGPHj1w5MgRizaSJGHNmjUYOHAgPDw8EBERgW3btlm02blzJyIjI9GgQQNER0fj3LlzVb63JElYuXIl+vfvD09PTyxYsAAA8Omnn6Jjx45wd3dHWFgYkpKSYDAYKu1nxowZiIyMhIeHB8LCwvDKK6+Yi6fU1FQkJSXh2LFjkCQJkiQhNTXV/P5ll7S6du2KGTNmWPR78eJFqNVqpKWlAQD0ej2mTZuG5s2bw9PTE507d8a+ffsqjevatWsYM2YMHnvsMWzbtg0xMTEIDQ1F586d8eabb2LVqlVV5ojIFbHgIaJquXTpEnbt2oVJkybB09Oz3H5fX99q91VYWIi4uDh88803OHjwICIiIvDYY4+hsLDQol1SUhKGDBmC48eP47HHHkNsbCwuXboEALhw4QKefPJJ9OvXD0ePHsX48eMxc+bMar3/vHnzMHDgQJw4cQJjx47F/v37MXr0aDz//PM4deoUVq1ahdTUVHMxVBFvb2+kpqbi1KlTeOedd/Dee+8hJSUFADB06FBMnToVrVu3Rk5ODnJycjB06NByfcTGxmLTpk249ZGGH374IQIDA9GtWzcAwHPPPYcDBw5g06ZNOH78OAYPHow+ffrg7NmzFcb1xRdf4M8//8RLL71U4X5r/p6IXIqDH15KRHXEoUOHBACxefPmKtta+2R1o9EovL29xfbt283bAIjZs2ebXxcVFQkA4vPPPxdCCJGYmChatWpl0c+MGTMEAHH58uVK3wuAeOGFFyy2PfLII+K1116z2PbBBx+IgIAAi+O2bNlSab9vvPGG6NSpk/n13LlzRbt27Sp8/7J+8vLyhEqlEmlpaeb9Xbp0ETNmzBBCCHH+/HmhVCrFb7/9Vi7exMTECuN4/fXXBQBx6dKlSmMVQoi9e/dWmitr//6I6gKVwyotIqpTxC2jEDX1xx9/YPbs2di3bx/y8vJgNBpx7do1/Prrrxbt7rvvPvP3np6eaNiwIfLy8gAAGRkZ6Ny5s0X7Ll26VOv977//fovXx44dw7fffmsxomM0GnHjxg1cu3YNHh4e5fr48MMPsWTJEmRmZqKoqAgGgwENGzas1vuXadKkCR599FH861//Qrdu3ZCdnY0DBw6YLzudOHECRqMRkZGRFsfp9Xo0atSowj5t+fdE5EpY8BBRtURERECSJPz888817isuLg5//fUX3nnnHQQHB0Oj0aBLly4oLi62aKdWqy1eS5IEk8lU4/e//ZJcUVERkpKS8OSTT5Zr6+7uXm7bgQMHEBsbi6SkJPTu3Rs+Pj7YtGkT3nrrLatjiY2NxZQpU7B06VJs2LABbdu2Rdu2bc1xKZVK/PDDD1AqlRbHeXl5VdhfWXH0888/37EALCvO8vPzy13munLlCnx8fKw+FyJnxjk8RFQtfn5+6N27N5YvX46rV6+W22/N2jfffvstpkyZgsceewytW7eGRqPBn3/+aVU8LVu2RHp6usU2ayZO36pjx444ffo0wsPDy30pFOX/m/zuu+8QHByMl19+Gffffz8iIiJw/vx5izZubm4wGo1VvvcTTzyBGzduYNeuXdiwYQNiY2PN+zp06ACj0Yi8vLxycfn7+1fY36OPPorGjRtj0aJFFe4v+3uKiIiAQqHADz/8YLE/KysL+fn55UaViOo6FjxEVG3Lly+H0WhEVFQUPvnkE5w9exYZGRlYsmRJtS8nAaU/bD/44ANkZGTg0KFDiI2NRYMGDayKZcKECTh79iymT5+O06dPY8OGDeY7oaw1Z84crF+/HklJSTh58iQyMjKwadMmzJ49u9L4f/31V2zatAmZmZlYsmQJtmzZYtEmJCQE2dnZOHr0KP7880/o9foK+/L09MSAAQPwyiuvICMjA8OHDzfvi4yMRGxsLEaPHo3NmzcjOzsb6enpSE5OxmeffVZpf2vWrMFnn32G/v3746uvvsK5c+dw+PBhvPTSS5gwYQKA0knX48ePx9SpU7Ft2zZkZ2cjLS0NsbGxePDBB9G1a1c5qSRyXo6eREREdcvvv/8uJk2aJIKDg4Wbm5to3ry56N+/v9i7d6+5TVWTXo8cOSLuv/9+4e7uLiIiIsTHH39c7hhUMEnYx8dHrFu3zvx6+/btIjw8XGg0GtGtWzexdu3aak1armjy8a5du0TXrl1FgwYNRMOGDUVUVJRYvXp1pcdNnz5dNGrUSHh5eYmhQ4eKlJQU4ePjY95/48YNMWjQIOHr6ysAmOOu6P137twpAIju3buXi6u4uFjMmTNHhISECLVaLQICAsTAgQPF8ePHKz1HIYT4/vvvxZNPPimaNGkiNBqNCA8PF88884w4e/asuc3169fF3LlzRYsWLUSDBg1EaGioeOaZZ8TFixfv2DdRXSQJwRluRERE5Np4SYuIiIhcHgseIiIicnkseIiIiMjlseAhIiIil8eCh4iIiFweCx4iIiJyeSx4iIiIyOWx4CEiIiKXx4KHiIiIXB4LHiIiInJ5LHiIiIjI5bHgISIiIpf3/1yXNwtM/XqwAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CIU.plot_ciu(CIUres, plot_mode='overlap', CImax=min(1.0,(max(CIUres.CI)+0.01)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The way in which CI and CU values are calculated for one feature can be plotted and studied with the ``plot_input_output`` method:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CIU.plot_input_output(ind_input=12, illustrate_CIU=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However, this expensive instance is slightly \"boring\", so we check out what it looks like for an average-price residence"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Instance 1 in the test set has a real price of $27 and a predicted price of $26\n",
      "The instance values are:\n",
      "       CRIM   ZN  INDUS  CHAS    NOX    RM   AGE     DIS  RAD    TAX  PTRATIO  \\\n",
      "85  0.05735  0.0   4.49   0.0  0.449  6.63  56.1  4.4377  3.0  247.0     18.5   \n",
      "\n",
      "        B  LSTAT  \n",
      "85  392.3   6.53  \n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x400 with 2 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "inst_ind = 1\n",
    "instance = X_test.iloc[[inst_ind]]\n",
    "inst_val = y_test[inst_ind]\n",
    "pred = boston_xgb_model.predict(instance)[0]\n",
    "print(f\"Instance {inst_ind} in the test set has a real price of ${inst_val:.0f} and a predicted price of ${pred:.0f}\")\n",
    "print(f\"The instance values are:\\n{instance}\")\n",
    "CIUres = CIU.explain(instance)\n",
    "CIU.plot_ciu(CIUres, CImax=min(1.0,(max(CIUres.CI)+0.01)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Same using ``overlap``:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CIU.plot_ciu(CIUres, plot_mode='overlap', CImax=min(1.0,(max(CIUres.CI)+0.01)))"
   ]
  },
  {
   "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": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CIU.plot_influence(CIUres)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For direct comparison with Shapley values, ``neutralCU`` should be set to the CU values that corresponds to the average output value. For Boston, this could be done like this:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.3947080979284369\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "avg_price = np.mean(y_train)\n",
    "neutralCU = (avg_price - out_minmaxs.mins)/(out_minmaxs.maxs - out_minmaxs.mins)\n",
    "print(neutralCU.iloc[0])\n",
    "CIUres_shap = CIU.explain(instance, neutralCU=neutralCU.iloc[0])\n",
    "CIU.plot_influence(CIUres_shap)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A ``neutralCU=0.395`` value is obviously lower than ``neutralCU=0.5``. This is because the majority of instances have a price that is lower than ``5 + (50-5)/2=27.5`` that corresponds to ``neutralCU=0.5``. ``neutralCU=0.395`` corresponds to a price of ``5 + 0.395x(50-5)=22.8``. This is an important information to communicate to the user in order to interpret and understand the explanation correctly!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "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": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# # Uncomment this if you have shap installed and want to run it. At the moment of writing, it doesn't work with Python 3.12.\n",
    "# import shap\n",
    "# explainer = shap.Explainer(boston_xgb_model, X_train)\n",
    "# shap_values = explainer(instance)\n",
    "# shap.plots.bar(shap_values[0,:], order=np.argsort(shap_values[0,:].values)[::-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The explained value is Price with the value 25.57 (CU=0.46), which is lower than average utility.\n",
      "Feature CRIM has very low importance (CI=0.01) and has value(s) 0.05735, which is low utility (CU=0.00)\n",
      "Feature ZN has very low importance (CI=0.02) and has value(s) 0.0, which is low utility (CU=0.00)\n",
      "Feature INDUS has very low importance (CI=0.05) and has value(s) 4.49, which is low utility (CU=0.14)\n",
      "Feature CHAS has very low importance (CI=0.00) and has value(s) 0.0, which is low utility (CU=0.00)\n",
      "Feature NOX has very low importance (CI=0.03) and has value(s) 0.449, which is high utility (CU=1.00)\n",
      "Feature RM has very low importance (CI=0.07) and has value(s) 6.63, which is lower than average utility (CU=0.26)\n",
      "Feature AGE has very low importance (CI=0.01) and has value(s) 56.1, which is high utility (CU=1.00)\n",
      "Feature DIS has very low importance (CI=0.02) and has value(s) 4.4377, which is higher than average utility (CU=0.57)\n",
      "Feature RAD has very low importance (CI=0.00) and has value(s) 3.0, which is low utility (CU=0.00)\n",
      "Feature TAX has very low importance (CI=0.03) and has value(s) 247.0, which is high utility (CU=1.00)\n",
      "Feature PTRATIO has very low importance (CI=0.05) and has value(s) 18.5, which is lower than average utility (CU=0.41)\n",
      "Feature B has very low importance (CI=0.02) and has value(s) 392.3, which is high utility (CU=1.00)\n",
      "Feature LSTAT has very low importance (CI=0.11) and has value(s) 6.53, which is higher than average utility (CU=0.69)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(CIU.textual_explanation(CIUres))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "The explained value is ***Price*** with the value 25.57 (CU=0.46), which is **lower than average utility**.<br>Feature *CRIM* has **very low importance (CI=0.01)** and has value(s) 0.05735, which is **low utility (CU=0.00)**<br>Feature *ZN* has **very low importance (CI=0.02)** and has value(s) 0.0, which is **low utility (CU=0.00)**<br>Feature *INDUS* has **very low importance (CI=0.05)** and has value(s) 4.49, which is **low utility (CU=0.14)**<br>Feature *CHAS* has **very low importance (CI=0.00)** and has value(s) 0.0, which is **low utility (CU=0.00)**<br>Feature *NOX* has **very low importance (CI=0.03)** and has value(s) 0.449, which is **high utility (CU=1.00)**<br>Feature *RM* has **very low importance (CI=0.07)** and has value(s) 6.63, which is **lower than average utility (CU=0.26)**<br>Feature *AGE* has **very low importance (CI=0.01)** and has value(s) 56.1, which is **high utility (CU=1.00)**<br>Feature *DIS* has **very low importance (CI=0.02)** and has value(s) 4.4377, which is **higher than average utility (CU=0.57)**<br>Feature *RAD* has **very low importance (CI=0.00)** and has value(s) 3.0, which is **low utility (CU=0.00)**<br>Feature *TAX* has **very low importance (CI=0.03)** and has value(s) 247.0, which is **high utility (CU=1.00)**<br>Feature *PTRATIO* has **very low importance (CI=0.05)** and has value(s) 18.5, which is **lower than average utility (CU=0.41)**<br>Feature *B* has **very low importance (CI=0.02)** and has value(s) 392.3, which is **high utility (CU=1.00)**<br>Feature *LSTAT* has **very low importance (CI=0.11)** and has value(s) 6.53, which is **higher than average utility (CU=0.69)**<br>"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Markdown\n",
    "markdown_text = CIU.textual_explanation(CIUres, use_markdown_effects=True)\n",
    "Markdown(markdown_text)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "py-ciu",
   "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
}