{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "232f9b1a-3541-4763-817a-ce6d984ffcd2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Libraries imported\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "from sklearn.metrics import classification_report, confusion_matrix, roc_auc_score\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.metrics import confusion_matrix\n",
    "\n",
    "def plot_confusion_matrix(y_true, y_pred, title):\n",
    "    cm = confusion_matrix(y_true, y_pred)\n",
    "\n",
    "    plt.figure(figsize=(6, 4))\n",
    "    sns.heatmap(\n",
    "        cm,\n",
    "        annot=True,\n",
    "        fmt=\"d\",\n",
    "        cmap=\"Blues\",\n",
    "        xticklabels=[\"Genuine (0)\", \"Fraud (1)\"],\n",
    "        yticklabels=[\"Genuine (0)\", \"Fraud (1)\"],\n",
    "    )\n",
    "    plt.title(title)\n",
    "    plt.xlabel(\"Predicted Label\")\n",
    "    plt.ylabel(\"True Label\")\n",
    "    plt.tight_layout()\n",
    "    plt.show()\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "print(\"Libraries imported\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3a7cfcc4-f1ab-41d0-9701-b30ecedf4a80",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train: (1296675, 23)\n",
      "Test: (555719, 23)\n",
      "Train frauds: 7506\n",
      "Test frauds: 2145\n"
     ]
    }
   ],
   "source": [
    "# Load data\n",
    "train = pd.read_csv(\"fraudTrain.csv\")\n",
    "test = pd.read_csv(\"fraudTest.csv\")\n",
    "\n",
    "print(f\"Train: {train.shape}\")\n",
    "print(f\"Test: {test.shape}\")\n",
    "print(f\"Train frauds: {train['is_fraud'].sum()}\")\n",
    "print(f\"Test frauds: {test['is_fraud'].sum()}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "204d5f94-8a3c-4753-938f-68ec22b9d7a4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Missing values in train:\n",
      "0\n",
      "\n",
      "Missing values in test:\n",
      "0\n",
      "\n",
      "After cleaning - Train columns: 15\n",
      "After cleaning - Test columns: 15\n",
      "\n",
      "Remaining columns: ['merchant', 'category', 'amt', 'gender', 'city', 'state', 'zip', 'lat', 'long', 'city_pop', 'job', 'unix_time', 'merch_lat', 'merch_long', 'is_fraud']\n"
     ]
    }
   ],
   "source": [
    "# Data Cleaning\n",
    "\n",
    "# Check missing values\n",
    "print(\"Missing values in train:\")\n",
    "print(train.isnull().sum().sum())\n",
    "\n",
    "print(\"\\nMissing values in test:\")\n",
    "print(test.isnull().sum().sum())\n",
    "\n",
    "# Drop unnecessary columns\n",
    "drop_cols = ['Unnamed: 0', 'trans_num', 'cc_num', 'first', 'last', 'street', 'dob', 'trans_date_trans_time']\n",
    "\n",
    "train_clean = train.drop(columns=drop_cols)\n",
    "test_clean = test.drop(columns=drop_cols)\n",
    "\n",
    "print(f\"\\nAfter cleaning - Train columns: {train_clean.shape[1]}\")\n",
    "print(f\"After cleaning - Test columns: {test_clean.shape[1]}\")\n",
    "print(f\"\\nRemaining columns: {train_clean.columns.tolist()}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "47ce9de9-77cd-42d9-8c0e-8e27219589df",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Encoded columns: ['merchant', 'category', 'gender', 'city', 'state', 'job']\n",
      "\n",
      "Train sample:\n",
      "   merchant  category     amt  gender  city  state    zip      lat      long  \\\n",
      "0       514         8    4.97       0   526     27  28654  36.0788  -81.1781   \n",
      "1       241         4  107.23       0   612     47  99160  48.8878 -118.2105   \n",
      "\n",
      "   city_pop  job   unix_time  merch_lat  merch_long  is_fraud  \n",
      "0      3495  370  1325376018  36.011293  -82.048315         0  \n",
      "1       149  428  1325376044  49.159047 -118.186462         0  \n"
     ]
    }
   ],
   "source": [
    "# Encode categorical columns\n",
    "from sklearn.preprocessing import LabelEncoder\n",
    "\n",
    "cat_cols = ['merchant', 'category', 'gender', 'city', 'state', 'job']\n",
    "\n",
    "le_dict = {}\n",
    "for col in cat_cols:\n",
    "    le = LabelEncoder()\n",
    "    train_clean[col] = le.fit_transform(train_clean[col])\n",
    "    test_clean[col] = le.transform(test_clean[col].map(lambda x: x if x in le.classes_ else le.classes_[0]))\n",
    "    le_dict[col] = le\n",
    "\n",
    "print(f\"Encoded columns: {cat_cols}\")\n",
    "print(f\"\\nTrain sample:\")\n",
    "print(train_clean.head(2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "cfedb75e-d11b-4a35-84bd-dc6fb47a566f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X_train shape: (1296675, 14)\n",
      "X_test shape: (555719, 14)\n",
      "Features: ['merchant', 'category', 'amt', 'gender', 'city', 'state', 'zip', 'lat', 'long', 'city_pop', 'job', 'unix_time', 'merch_lat', 'merch_long']\n"
     ]
    }
   ],
   "source": [
    "# Prepare features and target\n",
    "X_train = train_clean.drop('is_fraud', axis=1)\n",
    "y_train = train_clean['is_fraud']\n",
    "X_test = test_clean.drop('is_fraud', axis=1)\n",
    "y_test = test_clean['is_fraud']\n",
    "\n",
    "print(f\"X_train shape: {X_train.shape}\")\n",
    "print(f\"X_test shape: {X_test.shape}\")\n",
    "print(f\"Features: {X_train.columns.tolist()}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "2e334d5b-bae9-44f1-a6e8-4fce963f1f1d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training Random Forest \n",
      " Random Forest trained\n"
     ]
    }
   ],
   "source": [
    "# Train Random Forest \n",
    "print(\"Training Random Forest \")\n",
    "\n",
    "rf_model = RandomForestClassifier(\n",
    "    n_estimators=100,\n",
    "    max_depth=10,\n",
    "    random_state=42,\n",
    "    n_jobs=-1\n",
    ")\n",
    "\n",
    "rf_model.fit(X_train, y_train)\n",
    "\n",
    "print(\" Random Forest trained\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "5209313f-dfe0-49d8-a6b6-1c8cbb07397c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RANDOM FOREST RESULTS\n",
      "\n",
      "Confusion Matrix Values:\n",
      "  True Negatives:  553,435\n",
      "  False Positives: 139\n",
      "  False Negatives: 1,645\n",
      "  True Positives:  500\n",
      "\n",
      "AUC-ROC: 0.9536\n",
      "Recall: 0.2331\n",
      "Precision: 0.7825\n",
      "\n",
      "Total Cost: $331,780\n"
     ]
    }
   ],
   "source": [
    "# Evaluate RF Model\n",
    "y_pred = rf_model.predict(X_test)\n",
    "y_proba = rf_model.predict_proba(X_test)[:, 1]\n",
    "\n",
    "# Confusion Matrix Heatmap\n",
    "plot_confusion_matrix(y_test, y_pred, \"Random Forest – Confusion Matrix\")\n",
    "\n",
    "# Confusion Matrix Values\n",
    "cm = confusion_matrix(y_test, y_pred)\n",
    "tn, fp, fn, tp = cm.ravel()\n",
    "\n",
    "# Metrics\n",
    "auc = roc_auc_score(y_test, y_proba)\n",
    "\n",
    "print(\"RANDOM FOREST RESULTS\")\n",
    "\n",
    "print(f\"\\nConfusion Matrix Values:\")\n",
    "print(f\"  True Negatives:  {tn:,}\")\n",
    "print(f\"  False Positives: {fp:,}\")\n",
    "print(f\"  False Negatives: {fn:,}\")\n",
    "print(f\"  True Positives:  {tp:,}\")\n",
    "\n",
    "print(f\"\\nAUC-ROC: {auc:.4f}\")\n",
    "print(f\"Recall: {tp/(tp+fn):.4f}\")\n",
    "print(f\"Precision: {tp/(tp+fp):.4f}\")\n",
    "\n",
    "# Cost Analysis\n",
    "COST_FN = 200  # Cost of missed fraud\n",
    "COST_FP = 20   # Cost of blocking legit\n",
    "\n",
    "total_cost = (fn * COST_FN) + (fp * COST_FP)\n",
    "print(f\"\\nTotal Cost: ${total_cost:,}\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "e29266b7-439a-49c1-bfb6-120fe642b27b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training Cost-Sensitive Random Forest\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "COST-SENSITIVE RANDOM FOREST RESULTS\n",
      "\n",
      "Confusion Matrix Values:\n",
      "  True Negatives:  552,205\n",
      "  False Positives: 1,369\n",
      "  False Negatives: 697\n",
      "  True Positives:  1,448\n",
      "\n",
      "AUC-ROC: 0.9637\n",
      "Recall: 0.6751\n",
      "Precision: 0.5140\n",
      "\n",
      "Total Cost: $166,780\n",
      "Savings vs Baseline: $165,000\n"
     ]
    }
   ],
   "source": [
    "# Train Cost-Sensitive Random Forest\n",
    "print(\"Training Cost-Sensitive Random Forest\")\n",
    "\n",
    "# Class weight: fraud is 10x more important\n",
    "rf_cost_model = RandomForestClassifier(\n",
    "    n_estimators=100,\n",
    "    max_depth=10,\n",
    "    class_weight={0: 1, 1: 10},  # KEY CHANGE\n",
    "    random_state=42,\n",
    "    n_jobs=-1\n",
    ")\n",
    "\n",
    "rf_cost_model.fit(X_train, y_train)\n",
    "\n",
    "# Evaluate\n",
    "y_pred_cost = rf_cost_model.predict(X_test)\n",
    "y_proba_cost = rf_cost_model.predict_proba(X_test)[:, 1]\n",
    "\n",
    "#Confusion Matrix Heatmap \n",
    "plot_confusion_matrix(y_test, y_pred_cost, \"Random Forest – Cost-Sensitive Confusion Matrix\")\n",
    "\n",
    "# Confusion Matrix Values\n",
    "cm_cost = confusion_matrix(y_test, y_pred_cost)\n",
    "tn2, fp2, fn2, tp2 = cm_cost.ravel()\n",
    "\n",
    "# Metrics\n",
    "auc2 = roc_auc_score(y_test, y_proba_cost)\n",
    "\n",
    "# Cost Analysis (uses same COST_FN, COST_FP as baseline)\n",
    "total_cost2 = (fn2 * COST_FN) + (fp2 * COST_FP)\n",
    "\n",
    "print(\"\\nCOST-SENSITIVE RANDOM FOREST RESULTS\")\n",
    "\n",
    "print(f\"\\nConfusion Matrix Values:\")\n",
    "print(f\"  True Negatives:  {tn2:,}\")\n",
    "print(f\"  False Positives: {fp2:,}\")\n",
    "print(f\"  False Negatives: {fn2:,}\")\n",
    "print(f\"  True Positives:  {tp2:,}\")\n",
    "\n",
    "print(f\"\\nAUC-ROC: {auc2:.4f}\")\n",
    "print(f\"Recall: {tp2/(tp2+fn2):.4f}\")\n",
    "print(f\"Precision: {tp2/(tp2+fp2):.4f}\")\n",
    "\n",
    "print(f\"\\nTotal Cost: ${total_cost2:,}\")\n",
    "\n",
    "# total_cost must come from your baseline RF cell\n",
    "print(f\"Savings vs Baseline: ${total_cost - total_cost2:,}\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "46e241da-4d12-4b10-9b5c-3f6ba8d2581a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training XGBoost Baseline\n",
      " XGBoost trained\n"
     ]
    }
   ],
   "source": [
    "# XGBoost Baseline (without scale_pos_weight)\n",
    "print(\"Training XGBoost Baseline\")\n",
    "\n",
    "xgb_baseline = XGBClassifier(\n",
    "    n_estimators=100,\n",
    "    max_depth=6,\n",
    "    learning_rate=0.1,\n",
    "    random_state=42,\n",
    "    n_jobs=-1,\n",
    "    eval_metric='logloss'\n",
    ")\n",
    "\n",
    "xgb_baseline.fit(X_train, y_train)\n",
    "\n",
    "# Evaluate XGBoost Baseline\n",
    "y_pred_xgb_base = xgb_baseline.predict(X_test)\n",
    "y_proba_xgb_base = xgb_baseline.predict_proba(X_test)[:, 1]\n",
    "\n",
    "cm_xgb_base = confusion_matrix(y_test, y_pred_xgb_base)\n",
    "tn4, fp4, fn4, tp4 = cm_xgb_base.ravel()\n",
    "auc4 = roc_auc_score(y_test, y_proba_xgb_base)\n",
    "total_cost4 = (fn4 * COST_FN) + (fp4 * COST_FP)\n",
    "\n",
    "print(\" XGBoost trained\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "ea64f533-7ab7-43f4-9e81-ee1e07a62643",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "XGBOOST BASELINE RESULTS\n",
      "\n",
      "Confusion Matrix Values:\n",
      "  True Negatives:  552,854\n",
      "  False Positives: 720\n",
      "  False Negatives: 1,040\n",
      "  True Positives:  1,105\n",
      "\n",
      "AUC-ROC: 0.9901\n",
      "Recall: 0.5152\n",
      "Precision: 0.6055\n",
      "\n",
      "Total Cost: $222,400\n"
     ]
    }
   ],
   "source": [
    "# Evaluate XGBoost Baseline\n",
    "y_pred_xgb_base = xgb_baseline.predict(X_test)\n",
    "y_proba_xgb_base = xgb_baseline.predict_proba(X_test)[:, 1]\n",
    "\n",
    "# Confusion Matrix Heatmap \n",
    "plot_confusion_matrix(y_test, y_pred_xgb_base, \"XGBoost Baseline – Confusion Matrix\")\n",
    "\n",
    "# Confusion Matrix Values\n",
    "cm_xgb_base = confusion_matrix(y_test, y_pred_xgb_base)\n",
    "tn4, fp4, fn4, tp4 = cm_xgb_base.ravel()\n",
    "\n",
    "# Metrics\n",
    "auc4 = roc_auc_score(y_test, y_proba_xgb_base)\n",
    "\n",
    "print(\"XGBOOST BASELINE RESULTS\")\n",
    "\n",
    "print(f\"\\nConfusion Matrix Values:\")\n",
    "print(f\"  True Negatives:  {tn4:,}\")\n",
    "print(f\"  False Positives: {fp4:,}\")\n",
    "print(f\"  False Negatives: {fn4:,}\")\n",
    "print(f\"  True Positives:  {tp4:,}\")\n",
    "\n",
    "print(f\"\\nAUC-ROC: {auc4:.4f}\")\n",
    "print(f\"Recall: {tp4/(tp4+fn4):.4f}\")\n",
    "print(f\"Precision: {tp4/(tp4+fp4):.4f}\")\n",
    "\n",
    "# Cost Analysis\n",
    "total_cost4 = (fn4 * COST_FN) + (fp4 * COST_FP)\n",
    "print(f\"\\nTotal Cost: ${total_cost4:,}\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "d0bd7d1b-0d8d-448a-8d62-a92639d7ca23",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training XGBoost Cost-Sensitive\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "XGBOOST COST-SENSITIVE RESULTS\n",
      "\n",
      "Confusion Matrix Values:\n",
      "  True Negatives:  545,558\n",
      "  False Positives: 8,016\n",
      "  False Negatives: 418\n",
      "  True Positives:  1,727\n",
      "\n",
      "AUC-ROC: 0.9892\n",
      "Recall: 0.8051\n",
      "Precision: 0.1773\n",
      "\n",
      "Total Cost: $243,920\n",
      "Savings vs XGBoost Baseline: $-21,520\n"
     ]
    }
   ],
   "source": [
    "# XGBoost Cost-Sensitive\n",
    "print(\"Training XGBoost Cost-Sensitive\")\n",
    "\n",
    "# Calculate scale_pos_weight (ratio of negative to positive)\n",
    "scale = len(y_train[y_train == 0]) / len(y_train[y_train == 1])\n",
    "\n",
    "xgb_cost_model = XGBClassifier(\n",
    "    n_estimators=100,\n",
    "    max_depth=6,\n",
    "    learning_rate=0.1,\n",
    "    scale_pos_weight=scale,  # KEY: handles imbalance\n",
    "    random_state=42,\n",
    "    n_jobs=-1,\n",
    "    eval_metric='logloss'\n",
    ")\n",
    "\n",
    "xgb_cost_model.fit(X_train, y_train)\n",
    "\n",
    "# Evaluate XGBoost Cost-Sensitive\n",
    "y_pred_xgb_cost = xgb_cost_model.predict(X_test)\n",
    "y_proba_xgb_cost = xgb_cost_model.predict_proba(X_test)[:, 1]\n",
    "\n",
    "# Confusion Matrix Heatmap \n",
    "plot_confusion_matrix(y_test, y_pred_xgb_cost, \"XGBoost Cost-Sensitive – Confusion Matrix\")\n",
    "\n",
    "# Confusion Matrix Values\n",
    "cm_xgb_cost = confusion_matrix(y_test, y_pred_xgb_cost)\n",
    "tn5, fp5, fn5, tp5 = cm_xgb_cost.ravel()\n",
    "\n",
    "# Metrics\n",
    "auc5 = roc_auc_score(y_test, y_proba_xgb_cost)\n",
    "\n",
    "print(\"XGBOOST COST-SENSITIVE RESULTS\")\n",
    "\n",
    "print(f\"\\nConfusion Matrix Values:\")\n",
    "print(f\"  True Negatives:  {tn5:,}\")\n",
    "print(f\"  False Positives: {fp5:,}\")\n",
    "print(f\"  False Negatives: {fn5:,}\")\n",
    "print(f\"  True Positives:  {tp5:,}\")\n",
    "\n",
    "print(f\"\\nAUC-ROC: {auc5:.4f}\")\n",
    "print(f\"Recall: {tp5/(tp5+fn5):.4f}\")\n",
    "print(f\"Precision: {tp5/(tp5+fp5):.4f}\")\n",
    "\n",
    "# Cost Analysis\n",
    "total_cost5 = (fn5 * COST_FN) + (fp5 * COST_FP)\n",
    "print(f\"\\nTotal Cost: ${total_cost5:,}\")\n",
    "print(f\"Savings vs XGBoost Baseline: ${total_cost4 - total_cost5:,}\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "918cc016-19b7-449b-be0f-1c1e953948ab",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Finding optimal threshold\n",
      "THRESHOLD ANALYSIS\n",
      " Threshold   Recall    FP  FN   Cost\n",
      "       0.1 0.979021 37706  45 763120\n",
      "       0.2 0.939860 24111 129 508020\n",
      "       0.3 0.891841 16233 232 371060\n",
      "       0.4 0.846154 11152 330 289040\n",
      "       0.5 0.805128  8016 418 243920\n",
      "       0.6 0.753380  5772 529 221240\n",
      "       0.7 0.707692  3972 627 204840\n",
      "       0.8 0.640093  2568 772 205760\n",
      "\n",
      "Optimal Threshold: 0.7\n",
      "Lowest Cost: $204,840\n"
     ]
    }
   ],
   "source": [
    "# Threshold Optimization for XGBoost\n",
    "print(\"Finding optimal threshold\")\n",
    "\n",
    "thresholds = [0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8]\n",
    "results = []\n",
    "\n",
    "for thresh in thresholds:\n",
    "    y_pred_thresh = (y_proba_xgb_cost >= thresh).astype(int)\n",
    "    cm_t = confusion_matrix(y_test, y_pred_thresh)\n",
    "    tn_t, fp_t, fn_t, tp_t = cm_t.ravel()\n",
    "    cost_t = (fn_t * COST_FN) + (fp_t * COST_FP)\n",
    "    recall_t = tp_t / (tp_t + fn_t)\n",
    "    \n",
    "    results.append({\n",
    "        'Threshold': thresh,\n",
    "        'Recall': recall_t,\n",
    "        'FP': fp_t,\n",
    "        'FN': fn_t,\n",
    "        'Cost': cost_t\n",
    "    })\n",
    "\n",
    "thresh_df = pd.DataFrame(results)\n",
    "\n",
    "print(\"THRESHOLD ANALYSIS\")\n",
    "\n",
    "print(thresh_df.to_string(index=False))\n",
    "\n",
    "# Best threshold\n",
    "best_thresh = thresh_df.loc[thresh_df['Cost'].idxmin(), 'Threshold']\n",
    "best_cost = thresh_df['Cost'].min()\n",
    "print(f\"\\nOptimal Threshold: {best_thresh}\")\n",
    "print(f\"Lowest Cost: ${best_cost:,}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "5bcb2bd7-6e2f-4997-9dfe-953b3bb0975f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "FINAL MODEL COMPARISON\n",
      "                       Model  Accuracy   Recall  F1-Score  AUC-ROC  Total Cost ($)\n",
      "                 RF Baseline  0.996790 0.233100  0.359195 0.953646          331780\n",
      "           RF Cost-Sensitive  0.996282 0.675058  0.583636 0.963692          166780\n",
      "            XGBoost Baseline  0.996833 0.515152  0.556675 0.990079          222400\n",
      "      XGBoost Cost-Sensitive  0.984823 0.805128  0.290545 0.989218          243920\n",
      "XGBoost Optimal (thresh=0.7)  0.991724 0.707692  0.397642 0.989218          204840\n",
      "\n",
      " BEST MODEL: RF Cost-Sensitive\n",
      " Lowest Cost: $166,780\n"
     ]
    }
   ],
   "source": [
    "# Complete Model Comparison\n",
    "from sklearn.metrics import accuracy_score, f1_score\n",
    "\n",
    "# XGBoost with optimal threshold\n",
    "y_pred_xgb_optimal = (y_proba_xgb_cost >= 0.7).astype(int)\n",
    "cm_opt = confusion_matrix(y_test, y_pred_xgb_optimal)\n",
    "tn6, fp6, fn6, tp6 = cm_opt.ravel()\n",
    "total_cost6 = (fn6 * COST_FN) + (fp6 * COST_FP)\n",
    "\n",
    "\n",
    "print(\"FINAL MODEL COMPARISON\")\n",
    "\n",
    "\n",
    "final_comparison = pd.DataFrame({\n",
    "    'Model': [\n",
    "        'RF Baseline', \n",
    "        'RF Cost-Sensitive', \n",
    "        'XGBoost Baseline', \n",
    "        'XGBoost Cost-Sensitive',\n",
    "        'XGBoost Optimal (thresh=0.7)'\n",
    "    ],\n",
    "    'Accuracy': [\n",
    "        accuracy_score(y_test, y_pred),\n",
    "        accuracy_score(y_test, y_pred_cost),\n",
    "        accuracy_score(y_test, y_pred_xgb_base),\n",
    "        accuracy_score(y_test, y_pred_xgb_cost),\n",
    "        accuracy_score(y_test, y_pred_xgb_optimal)\n",
    "    ],\n",
    "    'Recall': [\n",
    "        tp/(tp+fn),\n",
    "        tp2/(tp2+fn2),\n",
    "        tp4/(tp4+fn4),\n",
    "        tp5/(tp5+fn5),\n",
    "        tp6/(tp6+fn6)\n",
    "    ],\n",
    "    'F1-Score': [\n",
    "        f1_score(y_test, y_pred),\n",
    "        f1_score(y_test, y_pred_cost),\n",
    "        f1_score(y_test, y_pred_xgb_base),\n",
    "        f1_score(y_test, y_pred_xgb_cost),\n",
    "        f1_score(y_test, y_pred_xgb_optimal)\n",
    "    ],\n",
    "    'AUC-ROC': [auc, auc2, auc4, auc5, auc5],\n",
    "    'Total Cost ($)': [total_cost, total_cost2, total_cost4, total_cost5, total_cost6]\n",
    "})\n",
    "\n",
    "print(final_comparison.to_string(index=False))\n",
    "\n",
    "# Best model\n",
    "best_idx = final_comparison['Total Cost ($)'].idxmin()\n",
    "print(f\"\\n BEST MODEL: {final_comparison.loc[best_idx, 'Model']}\")\n",
    "print(f\" Lowest Cost: ${final_comparison.loc[best_idx, 'Total Cost ($)']:,}\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "f93f9f27-421b-457e-badc-3a1608ab54d8",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Generating SHAP explanations\n",
      " SHAP values calculated!\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x710 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# SHAP Explanations\n",
    "import shap\n",
    "\n",
    "print(\"Generating SHAP explanations\")\n",
    "\n",
    "# Use XGBoost model for SHAP (works best)\n",
    "explainer = shap.TreeExplainer(xgb_cost_model)\n",
    "\n",
    "# Use sample for speed\n",
    "X_sample = X_test.sample(n=1000, random_state=42)\n",
    "shap_values = explainer.shap_values(X_sample)\n",
    "\n",
    "print(\" SHAP values calculated!\")\n",
    "\n",
    "# Feature Importance Plot\n",
    "plt.figure(figsize=(10, 6))\n",
    "shap.summary_plot(shap_values, X_sample, plot_type=\"bar\", show=False)\n",
    "plt.title(\"Feature Importance (SHAP)\", fontsize=14, fontweight='bold')\n",
    "plt.tight_layout()\n",
    "plt.savefig('shap_importance.png', dpi=300, bbox_inches='tight')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "6b2d729f-c78e-4aa4-8772-b3bc24937fec",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ZuT/99FNuUW+KvLw8PivzRRdd5LeeTUTYlKhngt+XLl26cFH/T0GiniAIgiAIgvhPI5FI0K9fv0brly1b1uw+TNAzwsPD/dZHREQ0WV6v1/t9Z7N6W61W/FOQTz1BEARBEARBNCA6Opr/X1pa6re+pKQErRES9QRBEARBEEQbQDjNcm6Ji4vjfvJLly71W79kyRK0Rsj9hiAIgiAIgiAaIJVK8dhjj+Hee+/laSpHjRqFtWvXYt26dV6XntZE66oNQRAEQRAEQbQCSz1jzpw5PPf8l19+ienTp+Po0aN49dVX+bagoCC0JgSRZdUnCIIgiH8Iyn5DEMSfQri05e3iP5Np5v/+7//w5ptvory8nGfVaS2Q+w1BEARBEATRBvh7rPEtwSzz8+fPx5AhQ3g2GzaLLJtx9vbbb29Vgp5Bop4gCIIgCIIgmkCj0WD79u34+OOPUVNTg9jYWDz00EN8ltnWBol6giAIgiAIgmiCxMRErFmzBm0BEvUEQRAEQRBEG+Cfd79pS1D2G4IgCIIgCIJo45CoJwiCIAiCIIg2Dol6giAIgiAIgmjjkKgnCIIgCIIgiDYOBcoSBEEQBEEQbQAKlG0JstQTBEEQBEEQRBuHLPUEQRAEQRBEG4As9S1BlnqCIAiCIAiCaOOQpZ4gCIIgCIJoA5ClviXIUk8QBEEQBEEQbRwS9QRBEARBEATRxiH3G4IgCIIgCKINQO43LUGWeoIgCIIgCIJo45ClniDOQ7YtKcKe30shSAREDA1FYP8wjEyRQSkTcKBURMZxEzTfHITpYDnCe4Wg3+M9oIvT/tvVJgiCIM5ryFLfEiTqCeI8Y8+KUqx+PxMyiwW1MhkqM6qwcIMdpXFB6N1VixM7y3HD+j0IrzFA6hRgWm5G5ZEqTP55FBTBqn+7+gRBEARBNAGJeoI4z9j/SyGOqJRY2rUjzHIZwkwWjM8txHGrFQfsoVj23gIEWG3e8hs7JGKbQw1t3A9IvrkjUt4aCEEgawlBEATxT0O/PS1Bop4gWgEup4jFH+Vh75YaKOUiRl0UjpGXRsJmcuLk9gpI5QLaDwqBVN50GEzx4WqUnzQgppce+oSW3WSKKmxY2CkFYp0wL9OosCo+CqMKipB41AinxP8cAzPzUBQcjOcuG4p2B6uw674y6NQCZvaS4b5LgyCV0kuWIAiCIP5tSNQTRCvg01dykHbA4v6TtAILFlVi2RoDIjKLIVqcvIwzQIHM/kkY0EeL6yZooZALsNpFzH/pOEqX50ImiijUqZHaXoWrXukOTYii0XlKCqzYpdJD4XDi5h0HMDi7ANn6QMwb2Q9H4mJ4mVuvvQQPL1+PmOpqvDduEI7ERCC81gyF6MLyvu2hsThgMgLvbXEgbUMO2otWSKosCIuQY/SV0ejULxDG/eVQxGigiCE/fIIgCIL4JyBRT7RJRFGE1SZCpay3KpusIjTKtmc1NtQ6cYALejc5aiVOadUYmVvgFfQMaa0NQdtykLZLhid/0UDTSY/VOSIKnXoMD6nBkuQ4GOVySF0urHkkE9992tHPTcZQY8cr959EiNWB57YfwYUZWXx9dZAOY49nwaRQ4FBsJIxKBb68oD+OxemRFR7s3T+01oQqlRKuGiu0BisfBC0ziQgy2CERJbCcMOG7Z09gUGYugjNKAamA6Lu7IenNwX7XK7pcWHrIhl/yZYgPEHBHbwkitW3vvhEEQRD/LOJp3G8EnN+QqCfaHPsPmvHF/AoUlTgQoZcgIUWBZaVy5FS4kBojxTXdJAiRiOjVS4PomMbW6tZGeYkdYt3nwwFabArX888THI5GZcNNZvdLq6YWZfkGxISHIaG2FssSY7mgZzD3mZ+0Ydi0tQbDhwbxdb8fseO5D4sxyO5CnNmCwfnFfH1BSAAEqYAuhaX8e2phCRb074GC4CCUa9T+9QzQ8P8rQjVwKaXom1eJKIcDRpWSr69VKZGvkaNcEHDVsVJInCIK3zoI/aR46MfGuev2ySZUP7wEE2rNkKV0ws2XX41vDgUh7XoZgtpgh4wgCIIgWguUp55oUxiMTrz+QSkX9BqrFTVFZnycLuGCnnG0wIkXfjdj83vH8fqd6di2uQatnZgEBdQa95/iPr3Ou/5kYECjsiVKJYrqRHSowYgSqQTsW7Wycedlb6m7q1BmcOHKL6sxML8CUlGEQaPG+xeNwsNXT0Z6XITfPlqbHZ2LStExrwzj951qts5VWgXCbPXBtBxBQHGQDh+O6on/u3oUqjRKbO0ch+V/VPDNGa/sgOO276CtMUEiihh3PB0f/fg9smuABUfd948gCIIgiD8HWeqJNsXhdCvsZic6FZdCa7XhVGAAXEKIXxmTTIZantXFjKVvnELmpkCkjAzDgMGB56QOZqMTWZkWbNtmRK3BiYEDdRg0pLEAbw6b2YmN3xeg4LgRcZ10GHxJFHp2kGLHPgdsPkGqq+KjEW6xoFNVLbfkH9AHYmFiHFyCgF4VVZiZnYd8pRzJUhm0dgeMcv8/Z1dd+snlaytxXUYuZHXbC9RqnAxy11fq8owRwM/NZvq+o9jYNb7F6xDExvvKnW5xvr5HMtJjQlEVoIZNLsXbj5Xh3l+PIqlB+QkZRyFxuVBtdV+3wyUirxaI1QFyCsD9R3CJInJrgCgt+DwFBEEQRNuERD3RpggPlSK81gCF04nKwACITViomdhUOZwQXC5oa03IWG/D4Y0V+L/+8fjknjAkh0r/tB//0m+KsX55BapkCm6ZZuzbY0J1jRMTJrrdZlqipsCMD249CJNDwrPP7DtsxcrNtZDnGxAMAV2qarA/1H0cq0yKrzu3x+U5RTiiVCJQdKKnwYgjWg32h+hRpZQjSynH8dgIxJossEolcNR1CqLMFrzwmxSpThN+/KES3W02mOpEfbG6Ptf8ichQdK5zvam7SEzZlgGZ3QWzrOnXQ3i1ESMOZiGyygRbaCDMavfIAZPzFUoJ7l+xDp2OGtG+sApmuRQrB3bEvq4JOBkW2ehYeUF6yKVAUpCAy5Y6sCpLRLUV0MqBWV0l+N8ICQLJLadZsqpEzDvsQka5CK0CuCBOgitShTPuEG3Nc+GqXxzIrgbUMuDuvhK8Mpp+FgiCINoi9PYm2hTtkpSIlDtQo9FAlEigtzuQYDQhR+v292Z0YqKfPdx1VmOZy87FbkBGJW5ZrMWqW+tdXM6GtG01WP9rObK0ahzQqiGvM1SnWKz4Y0X1aUX9mn0mLHvqKHROKY/mYbJL53Agy6iCKTQE7WoMGJ9fApXTiSP6QKhcInpX1SLE7sBYi8UbANS71oBvoyKQxa6Z1UEA8jUqdKs1cn+6E2oVClRKKK0OXL0U0OsD0KvA7UPP28PHwr6tfRLsEikSyyogszkRVWrAiZAglAZqcbBdYxGeXFSJ575bB7Xd6e14rB2UilK9DhUqKZ76fQN0uXYEV7kDf1m5izcfRXlIANaldMX4Y3vQszCfb3MKAp6cOBWdgoGZv9QHBDOu2bAR9z+3BlarBaabBkP9+nQIirb1utqe78KxSmBkgoAwNXDfaie+O+KCRgY8NkSKe/ufXedyf7EL1y5zIr0CUEhEWC0uuAQJXJJ6Af/pfifuWgnsni3lwcfLT4kIUADjkwXIJAI/xg2/OnC4VESvKAHHq4FKdqsEwOwEXt3uhMXuwtsT3J1lu1PEI+uc+GKvEzIJ8MBgKR4f2rbuA0EQ/yVoNLEl6O3cBlm/fj0yMjJw66234nyEZWkRbfU+2APLq5BoNKNKIUeY1YYIn4mTHBIBNpkMKpsdwTY7fj5u/9PnPXbQyDX0MY0KI2rcApqRrZSjwugvShty5fdmLDjgxGylCjpTfaYbRrDFhoKIAGRDREpFNUYWV2B0YRlkTiescjkcMilEH+GmdzjRxWDCwUAtf73ZmUgXBBzTqGGT1rvvsDBbowBUymV4pVcqbs7IhEomQ5zRhEqFnO/jlEqwJykO/Q/m4kRwAE4kRuOCEwU40SGmSVE/bUeGV9AzlA4ndAUVQEkNJhqqYRbUiK+qbbRfu/xy5EQHY8Qd92Ha4TSeLvP31K5Ij4wG3C73XiYfOYi3ly6uX/HeWj4qEfzaNO+q4xUinCLQOdT/BW/OqoWz1g5d9xCY7SIOl4lICgI+TRPx60kR8QHAfTEm9AhwQdv59CMrKK0GnvsB2HEc6JmE7RNH41VHMkrsUlzSUcC4JAFahYB2ev96jP3ejjUn3c8oC0QengBsyHFvM9jcAn/BAQfWzJJDrRCwMUfEvEMuHCwDekcKeHqo+z4WG0XEBYq4b7UL3x0VvZkf7C4BYKMyRgfA5i5QSvkoC7unNTag46cOqKWAmT0EgoAghYgklQuHykXwvq4gYGeuyHoH3hEnjgR4Zy9w9wAX2gVLMG2RA78fdbg7jwCe+MOF/BoRr4+VQS2v349lQcquEtEj8vSjBMUGEdmV7P4JkAqNXbgIgiCIPweJ+jYq6pctW3ZeivqCIjsyoUacaPATIzEWK18YTCYobXaUBOhQqA/ibi5MIJudTiTXmddtDhFM/0olgjs9pgPI3VSCrK1lCIxWo9v0WCgCFJDXCZcqowtzswScCAtGH6PZL8I80WpHjVYKh0OEzMcnmR3XaXNhU57IBVySycJHFhqisDuQWlqOULNb7DtEwKxQIMBsRqDZjPJA/5EFmyCgSq2AUy7j/ugSpws6lwshTieMzAVGInAruLcxmEVdIsH7XVNwQ3omOhQUot+xdGxM6ch96qetO4C4ihp0LCrnxZlw/D46GAa1wq+ONpkUeqN/h4QRbLJiQFEREsrcYt4sYfXyL1Omd+erl0CCBb37+2/0NFldXS85uK/ROfK/2ouhqVNwSzfgrV0u5LDeCpi7iYBfZkihEl347Y49+L5cxe93rCsL3wxORa1MBpkgwiG6y28HsPSQAg//vBO9nAasfnQERvVQ4/JUCU+1CbsTgtKdRYhz4QvYXSzi634jYahR4fv0BNiYyRoitubXC9JUvYj+oSImdJDA4BKw5oSLP3OshFOQYkNOY6G7o0RAyItmRITJkMeup+6e7SoU8fUBF2ys11I3EuP9n4lgz71lHT0moO0ugD13Ph06VtjMHiReRbdLU5pFADe3M/HP9mHHaTgzMPsuirhmmROXdxbx+zGX9754+HCHAwvSgblTpZgcbMSz75/ES+gImyBFlA74dLIUR0tcSC8VMTJJglmdXZBo3C5aj662443tTjhcgEqYiY6KYuiOiriqB5rEXmlFwcfpMB+vQfD4WETMTOZudaxnIkqlEJ0iJIrGIx6HCuz44hDr2Eowu7sEfSPZNTsBn3trcYi8L+Sb9pV1BH07Kw2/e7HZ3e0trT+30+XuaCooFoQg/jYopWXLkKgn2hQ6rQSiVAILs7476y3GJqkUctHFXUlqlApIbTYUBNdbYh1MAMikcBmduGduDVbssSJYdCE5SoptVilSD+VjYl4halQqVOg0UCwqx7GYCPTtpeGief0RO3arVZApRKgNpkb1khgcuGROPsYM1uL2q/TYtDAfK38sgaLciKJukZDpIjGwohYGmQw6Jgi8oluE1maF1lkv9mUuF5QOO2o0aoTV1LoFNbOs12m7xfFRKKrzi3dCigizFRHM/CoIXNzrXcBJdq0NBRuASokNt25agV86d4VJdGH8oUwu6D249aOIY3Fh/HunnDLc/dNOtCuqQnZEIHanxqBrro8PPhM+SrlX0DO2dYlF/6OFUNS5Px1IjsCxWD1Mcinal1biYGx44xtbJyZZBUp0TWT9CQzA0Qrgvo3Meb/+ujbniej7jQNZ1SLEzr382tXz2SPoPbDA3U/G90KX7DLMeHIZZt44A5Inf8bk9btQYpXgl5njoZ49AJcpirC7Wo2Jdz0Oh1RWf1x3z4ejsVlhUihxtErg9Zt7ElDZbXj7159x7b6dYKf+csAQPHLhxXA1mKmXXWtQTTWm7N4Nu1qBRd0Ho0bldiNzD0TVqXmPqPacV+Ij7JsIdG7Upp4inn3Y/8y67zPa5YW7ZgnYmiciLccGfgENcQEVZhE3zavEvO/ewTPXPOHdVGQALlrg4J2GWQc3Y8zahZAYKpHbrxsOvHwHXt1a/zdpgRIHbAm4eqmIg6UOPNPZivKfsyANVCBrSAK2FArodcMySE5Uu4/91XGc+GAPkk+tx2ZpT0QUSyF1AmGXJKHDZ8NgV8vxY5oV+78/gPeDusIqZ51SFz7eZcfKBa9h1NE0YNoA5LxxO2aukmN7rohgNfD6eDm6RUhwwxIbd0uKDBBwTU8JvksHCgxAp1DgowkyjEqUANvSgbs+B/ZnAVolcP9UWP9vJq75yY5fj7k7Yv1jBFzWRYorussQG9hKXAWKq4Aft7k7NZcOBoK0bGIP97pKIzB9IBDv/psn/mFK2L3ZDjD3Qs+9IYg/iSAycyLxlzAajfjmm2+wY8cO5OXlwWQyITIyEmPGjMHNN98MlcotwHbv3o3bbrsNTz/9NMxmMxYsWICioiLEx8fjrrvuwrBhw3DixAm88847OHDgAKRSKSZMmID7778f8roc5FOnTkVhYWGjOnz88cfo16/ff+5OupwiNi4qQtq6CqjUEgy9NAoffF0OeZWNW0JZUKxDEFAYqENCaQWCTSZY5HLkhgbDXNfuvqwJ0CBAFNHJYvP2aJlDzuDjp1Cl0+FEtDvFo1UQYILI3XfUIlAkk6Ko7h6MraxGUJ1g9bA/QAebBFCJwKBoEQfzRZ7Jhv2kB5nM2B0SgF61VkTWGtCpvMIr8JilvVCrxt6wENTK5YgxmdGnvBIKl4vHDYTU1PIyRrUKVrkMJ3Ua/BIXVX9iUUSqwYyGtso8qQRV7BzMmsvEvtOJHiYr4o0mSGwW/B4bDa3ThRvX78fEg5l++1ZqlLjn9qnIDtPim1eWIsRQb523yqUojVQhwOyOUzjcLgZ90/MQWWFwV4e5zzx7JRR2J/pnFKA0SIO9HaLdXQVWH1Hk9411svzFp+czkFRRhs3vvM6FdI4+DO3LCnH9VddiZeeu3mv2szD7CleW0cfu4KMYLcL8UmwuBJktCJDbIROB5Ipy7EpIgEGlQnxlGd79Yz4GnDiKLcmd8cikq5EZGukvpEV2b42oVarg8rmeB9esxPOrfvM73YOTp+GDISP8rjm1OAdbP34GG9un4pVR01CiC0KpOgA1yrr4ENH3+nwukD06rC1dHot7XdkmLNZ+or+hvmQTm7HJ23wt/L6ncbrcuzcU/3zEAGhfUYybdm3G5/3G4mSY3u+eJJYU4uSHD/AUqou7DcRrw6eiXBuAKUf2IE8bjB+7DfI5p4iLdh3D3St2Q+Fw8cPnhQRg3ojueOhnNrZSD4vheG36ADy9aIvf+o3jUvHJxD48iw8fjfAbtQAmp+/Bsrn/48/sBbc+hx1hyX7b9Sqginnt+T5XrDnrRktkUuCHgpWY/vE3jZp4+F0vYFNYO++1eNqRBR6vvk6BIQlSoNYMPD4fWL4PSI4AnrsSGNwJ5xQ2gvHaEmDuBkCjAO6/CBiWCtz8EfDH/vq6xYYAy58ExjwNlNZ16NkFrnwKGNXd/5iLtgKvL3XX/5oRwCPT3c/e+crCze72MFqB60YCD02rb4+WtjGYEerFH4HvNgHBWndbJkUAI58EqusMRSo5EB4EDO8CvHoNEBt69h2ER+YBG44A3eKBl2cBXRPwX8IlzG5xu0T8GuczJOrPAVlZWdwVZuzYsVygSyQS7N27F2vWrMHAgQPx/vvv+4n61NRU3hG46KKLoFAosHDhQi7uX331Vbz44otcyCclJfFOwrp16/ixWefA43rz7bffYt++fXjuuee8dWDnCQ09yxdAG2Ddd4VYO7+gfgUL6NOp4LLXqw/2Kai6BgF17jcsneXK+GhkBQchwuZAisXGf5+ZUP81UIseFhtifaz8jOiKKhTrA7nYzlHKcUin5m4cHkEVxPxz6ghyODCoxsit4kzuWCQCyuVyFKqU3LAZ5nDC4itaGWYrVAo55E4nhuTkc9HOsEgl+D4lGXYfEcJ83sfmFaJWo4HCYecC2SQAv8ZFI0YUsd5nllfWqeliqJuQygeLy4VspYIfl5WZVFkLbZ3AY50EFizL9xFF9E87iW5Hc7C4VwrS4sIRaHdgX0wYRhcU45o/DjW6J2WRKljVMt7u23p1xsD9mWiXVwbBJULqdGLsS9dwX/3mGJd+BGs6pvoFeHpvZN2qLgXl0Jvcow985CAyEOU6ZdOinsGurW7/LvmFuHHvSiRVluKHHoOxsNfQxmUNdnd5rayRAITowuG3HkSXEndAL+NkSCQ6PfQWnBLmu+5Tlok+m9NdJyYmFVKs/fBtDM7x7yitbdcBk2ffUXfT3MJ80bw3kWiowKA5L/pb8Vn9fB9P9qw0NL3wY9S5z7BzM38Wdh2S5js7fg8J22apE+vcdaeh+45HoLLrY/Vxj6I0pF1ZJR5auxOPXzwSldr6ycr0JgPKX70FG5NTMfqmJ90durpjqkxWWLgVHQgyWvD6N2vRoajSc1JI6gbYN3aOx5D0+nvgYVXvJExsMIfCZ6N6YN7wOkHahKgfmpWOTZ8+jc73vIlj+qjGIxye9mx4/XXF2OhL0Zt3IMhq9ivyW0pPTJn1iE97+e4PjEmWYPVsJXD5626B7EGrAo69D8T4p+P9SzBB//Bc/3VMNGaVNC7bPgo4WeS/rmMMkOH+reKsPwSMftr/ul68Cnj8UpyXrE4Dxj3rv44J74ent7zNw1PfA88vqv/O/iZYp2vD4abP1zMJ2P/m2dVx6GPA1oz67xFBQObHQJ37238BEvUtQ+4354DY2Fj89ttvkPmkALz88svx0Ucf4YsvvsChQ4fQrVs377by8nL88MMP0OncvtIDBgzAFVdcgYceegivvfYaRo4cyddfeumlmDVrFhYvXuwV9WwbE/ZM1E+aNAn/dfavLff77oTgJ+gZgk9+dGa1/6BrB5TVuacUKuSokknRz2DGXrWSu6SomxicqtaoubCyC8Bhj6DnB3f/b5RJoGXCiZWVyfBHcCB0TgeGVBsQ6HRB67Ryf/mjgVrYhcaC1qJWQOl0wS6VYldsNBKrqqFimW80Gj9Bz35AmRW7VqtxB8HK5XyR2x0YUlUDvcmCnXodTHWjBqyeRomEdzC8h2AiRASuKypDWoCGT0zlEfTcUu4R9HXXt6tne6xIiMDvnRK9x4iqNWPUsRxfnV1/D7hPuXt9x+wCHO6WgB0DOnJ37/aZRRh2MBvre/lYQutEuNrmQO/8KkiEUIw+UYKToTpkhmobuX5obA7ozfXCXYCA9iUGVGgU7oDhJtyKOHWi7EhcDF4LvBiZr9yFGYd3IbK2Cu8OnQS9xc7bavCJI7jwRBoORCZgUf+h3O/al05lhX6CnsGs0kMzM7CxXRefhnC5A1WZKFbJ3Od3iahl1rYG5Oh9xBu7TKsLyVWlmDdgRJNuOX5t0txYqp87jZQ5ibvrwOM6hJaP6fkb4n88rN7NHN8lgj3O/Ilpoi6nwoKxOz7KT9AzqjQ69L3jJaSWFdQL+jo8gp5x1abDPoLeXSH3UyDCLpPCrJDx58bDzo4xyAtrPN9EVoRP0DN71hv0qa9K28IvtTQgqLH4btg+TRBqrm0k6BmHI+rmcmjmmIdL2TNicbtX+MLW/bQduOscvsPnrm+8rilBz8gra7wuu0HZeRsaXxcbBThfRT1rj6banAn3lrb5fveFvbMP10XPN0VaFpCWCfT0H1VqFtZJ8xX0jJJqYMU+YIbPyBjxn+Y8Hkc7dzDXGI+gdzgcqKmpQVVVFRfrDCbqfZkyZYpX0DNSUlKg1WoRERHhFfQeevXqxTsBzLLfFqioqIDV6raYMwwGA2pr6/2tbTYbvx5fGroT+X5XqCRn9NvrlgLA0eBAt6AXRYTZHYiz2lEol3ELfW6dX3opG2pugFkhh8zhQK20CV90QYCDWbwhcgMqWywSCfIVCmzU1wuMQKcTGh4c2fgHno0SMOs5I6LWwEcVgmuN0Nn9Z2XtaLLw1JQNr5MJnLiqGiRUVOK2tHR0rKhGoNWGruVVfBIuJnt4UCZrY3Y9zKeeWVItdnRivrM+7deoDQUBvY0GDMwrwpeL/8DO97/Fi39shOBwoibY38Jj1MngYP7YdVSGBMHABB2zqEsEnGgfDbVcishKA78HLB4gutrtmtOtqAYBzKrNPBtEoGOZAXoT89sWEWAy1ccY+IyKeGAdEZZpp0maEFRFgcFY2GMw//z42l94QPDEjD345oePsGHei3h02zJ8t+RDLJn7eqN9rdLGopxhUDRw5+IdDBaVLa238koEvDBmEkQflVym0eLNC0b77ysAR0NjoLM2DjxukqaCWhvC3G+aeqOLDdqKudOwDgmzzqvYPnWW7UaWZnfHSmdpPmMUG53RWpvevj82Gbvj2jdxHfVfO7HMSc1Ud2P3BDx0wxjsT45AaaAay/u2x4szL8DSgZ1QEFL//mQZnwrDfOIwXCIiK8vRuSQfKWWF+N/y+bh9x0pkBoejUqNrbJFv2EZNkB8YioMRcY3Wp8U0nE7Nn2gdUFFTDbGJjh50qj/1TmSwkV1fz1n23nUxH/8zhVlwG+CI9F9nFBr/vbnYZAjn6N3e3HWcy9+Pc3qOuvvlR906Y8PMALytlH7ncDKXqIakMNfEFtCpz/g6jKLDL0tawzp6r6Phdf2Ftvp3EE6znN+Qpf4csWjRIvz44484deoUXD5WU0bDP4KYmJhG+wcGBnI//IYEBLh/rFhHgQn/1k5IiP9wsm/nhcHcjRq6CUVHRzf7/YJLIrH4tSzvd5VS4GkaWaygB2adZ5b2iOpanvVFIooYWmtCeJ0IZBJxq0aFsjqLYb5UgvZOJ49ZYHCXZIkE3ftoUFTqxE6LWJ89hlH3kmMuM1V1FnIPxQo5F9KebgITq3amkXxcRNjeRVIp4uxmxFuMcKhV7kBXUURsWQUX5yy4l3UIQtmkWc20LXPdYcQZTLjtQLr72iQSnArVY2Oc+5nypLTUsg6KXMYnnLJxCzJ4bIAn1tLvHKKIUIMRd+UUoE+ue0h+UG4RTFIZdqUkYNmADnC4JJDDgRHHsut3E4CawMbPpNYp4rMPf+X34fMxfbCsXwdEVdYixNxY/E07dBhr28cjJ7j+mahtIh+9TSpwf/5GeKzHTQjeg1FuX1KFy4Fbtm3Gh8s+aKTdJmfsw8CcY9iR0NEb+JoVEo7fOvfG5PT6LDxr23XF3rg6v2kPnnMykayuV9O7EpOxumM8/kjsA5dKjsVde6FU4x/8O3v/Rsw6vBVZBeH4YMgEbtn24vQNhG1wbR53m6bgnYyGLjR1/3tfSQKuP7ABXw8YXT8a5V5dV170Owdz3WIZhJpjQE4huhaXo1NRGTKifAIt+e+rgKzgcO5CZpP5/N34PIRH4sLQq4E1WZQKmD+sK9b2SEZElQHfjOqO/Swuw6e+N9w9Fc8s+R17o1OwoVsiCkMDIHc4Ya8bgSjW6XHhgY145Y/vEWmoxsngCLw4os5qyjqloqveBYc9VqyDw7IF+bZlg2aeeckczFvyEfoWZqFCpUXu6AHocWN/fLe9+R7Brf1kCImOBO6eDLzyk79bDAuK/BPvREZUVFTj9y7z4b7s9frng7lcDOwArDvkf11sdGBSH57ZyVtWIkD22Z1+x9Q+OANYuB3wiamRPDT9nL3bm70OH1rVOe6YCHy9zh1gzGDP44MX17fVDzv8tknY/fA9xyMzgNnv1R80UAN8fgfw8k/Ags11LoQ+zxILXmZuUmd4HdqUOODq4f6jBr2TgbE9/ra2IlofJOrPAfPnz8fbb7+NQYMGcTeasLAwbr0vLS3FM88800jke8RkQ5gvfnOcr/HMPUeFQqeX80BZpUaKjoP1eO2lfGhsdp4lhgXOVamVqFYrUaXTItxgQHuz1SvoPQ/5qFojzH2CeBtnpjtQI5Mi3FYfUNklRYFHbwiBViOB6+MqfJMpcQv7Op96Jm5KmKW/wW3QOVj+GTcuUUSP9nIkhUqxZoeZp5F0yAWkCXJYJO7Oh8O3UyAIKAoJxvTjmdgVH8NdixhsJtcAq9XP6Mqy+pyICIPGYkV8ZRW/fkaeVo0ivR696zLyVEulOKFWcJeVUzotrAJzkcnEfbu2Y/6QoSgICEa2SoVOJgvvyLD0gAlFJVDaHY2CbTVOB9Z1iceiIfXBc3s7xmDA8XyYlHLsTYrCwNJaKBq0yZDD2Yiqco8sPf7TZt4ZYX7QLPuNxifHPW8/i9FP0DOcEhHDMk5gU8f2XoFZGOTjEsUtxC7/1GZNBM9etX8z//jxwDGYvdv9uakO05NrfsT83sNRmRiNtSzg0QVcd/39WFO1Bknpx/GjGIW7+rh/vP0rWtehaOCfzQKBmWj8YOhId7Skx92lrlh0TQXeWeH2fWZ+/7vefQzvXHAh3h964Wktxh4UNhvsPIaj7hlldWhgBW8SAbjs8E5sbN8VJ8P8f8D9MgexDjR7IGwuWPixPdvd26ROF8ZkZGHawRP8+6RDJ3EqPJiPKPFydQ+vXeLJGgSo2SRwLDGO50kTge8u6IruWSXoXucOInYPxeAVY5GoViN0Xgku+N8aBFSa8dWIrpg/thdsdWlcb9AU4MGTS/CzvTtkQQMRExaN2+/siCFzHShkj54g4Ot+ozCv5zDobBZUq7X+z4lSCqXNCodcxuMkdArghQsk2JPvxNJ0F8/1z+gUJiAuUMCufBeOhseh3y0voq/KiEcnBeLSHgr0EEXsqLLh5/S6uAfB30p/a/+6v/eXrga6xgPL9wLJkcCcSX5W2HPCJYOBNc+4RR0T9LdPcFuCP13pdstggZO3jgfC6izyW14CPlvlFvpMsPZpMKrSOQ7Y+T/goxXuQNlZI4AxzeQePR9gAae76tqDBcOywGFPYHFL2zxcNwqI0gPfbwb0GuCOC91xDPPvBT65zd0h+GotsC8TGNIJuGX82dfxy7uAIZ3dfvrdE4A7L/zPBTafLqXl+Q6J+nPA77//zq3v7777rp8w37rVJzDqHOKbV/l8oH3vQL54CLFboas18T/tE5FhXlHJBHNlcDC6sMmdGrzInBIJJlTV4I4nE/HdejOWbjXzSX+mDVCgT4oSSXH1YvvTW4KgeqYIR4rcgbCs85CmVaNCJuVpNM11nTKpy4VRpeU8kFVlt0MeIMfz94ZCoZBg9kUOVNQ4ER0lR/Lz1TBZRISyYUxPasQ6XFIJpIKAnuVVvOOQHaLndS3TaLiwZ24nbKQhMyjQ7ZscoENeiB6DTmZzd6H9sVGIZ+KyjiCnE5OyC1CgVuF4RCiCbDY8tXEDpt51I3JD9ECtFaixIrC8EqMLS6G22rwjAOF1bjK+hLIfcx8Ox0fwxUNJaCAuSi/wzq7L3DraZ/kH4F245zgWDe2K9HApehVUezsrDsGFzwc0ztjE4g5mbdkOk0qJ9NhoLgFTS2vRvSAPOSGBSCktwfiMQ/h46EicCguHifloN8gQM/r4QegUAkr/7yoEpsdCsdc/sNIDS486TG3A4GFOhNzRCSVGEccqRfQM1yBAeREvM6baBfPHjV2C+OQGjAZ/jo+3q8EEXQ30ZgOq1HVZYRRu/3RWx8c2LUWgj392Snkx3vx1rlvUs1GSWAHtqypw8LgJByJjGp1A7XLgtu0r8dbQyfWZb9xX4xbTLQQps7qUagPw7q9fYep1D8PFAn/9trsPMyFZwLcXSRH2Ut01smfMc1g2D4JcilXd22P09Ch8tM+FbG0Az6HP5nWw16XBZP2ZYbHAqSqgT5SA98ar8U2aEw+vru/YudiEWO+Nx7RoI/RKQNfL3cFjXsQv3h0F121XwLCjGB8s24IPly7B7nYdkXDDUMRP6Azc9jlmpGVhRsdooM6nfsdsOZ7a5MTuQhHt9cBjgxTIrFHg1a3uLvNdBXsxbNVaVMRGof/dQ1HeqyMyykX0jBAQoGQlpNyAsqdQhFYOpIZLvDPrMmHPUlQm6tV+7+KfrlAiu8rFt/901Imd+SKGxAt4s25WXk+7c1HMlr8TJiQbisk5k91LQ1j2ndNl4EmNA9696dzWsS3TJR547+az3+ZhQm/30hAWOM0WXx/8PwPrVN82wb0Q5yUk6s8BzPLOXu6+1nTmW//1139PaiW1Wu11yWFuO+cbAdVG/iPJfN/5hJT+E2LyGVprNP7+jyqHEycOWWCzujBrtIYvzcEmpHr/2SgcOGJBSakDsmA5sgxAn0QZfp+zD+mikgfLdq2sgr7OYs4mZjqhi8Ke3UYMHhKAqHAZXxi/3qzDPT+boCxwAkxE+XTKWABsuVLBM+q4ZDJE1xpQptXAKpXyYFi1zY4indYv2JAF0m5OjMUWfQAGsoA7nxz3DINahW5FJVzUJ5WXY2XXTm5Bj/q0h6sTYqCz2zE0v4TXfUN8NKxmG2J8ctYXBWiRwoIYm8o2U0e1SoEfU2Mx4mQptMwXVavG6zNG4M5lW9CuyO0vzQKE1TYrSnUqbEqWI8zIsp9I0bG0FuEmB3IV/r7AbIbWLy/oi/uWr8bR2GhU6HSIKy9B15oT0AsWiAFqOMrtuFFdDdcHM/G7LBxGO5BX68K7e0SUWwDtpJ4IeKs3wnUCbne4UPKjHo7bsyGrdF8fN7DHh0M6/24EDu9a72qsFfjiS2KQBFd3leDbIz5mdOaTzoSuSgqlSoIrOoiI1UtwWaoUvSIjgCtew8o8B4Z/74LFk+udWUSdwPrkLpizY6XfOXbGpSBZB3xxoQSjktg9ioQrswwXLq7GSrveL+XnjYOUuMclw97MI9iQ7BO428RkXiEqoMLkf//eHDoFmz99Ct9//y5mXn2f/778PAJeGy1FqEaCIQkSbM2ps0J7Oo8ssFYiwQMDJXhkTChmTRGx/JSIGB0wOgH4IxMoNwNTUhq35UNDZJiUIsGGLAeyd/6G9opSXD/5esjlTWfuYhNLBQ6LAYZdBuAy+OUxClADF6T6lY8PFPDVZP+ftYEAruji6bwMAp6qDxpkMyaEa/zryN7l/WL817FZcnlqymZI1Ev4cmlX+kkliL+X88uoebbQG+gcwPLRs7SVd999N0aNGsWDWv/44w+/bDjnEpZJh2XPYSkwhwwZws/Tv3//Rv5v/1WYdVviEt2ivgmxGcKCLpm/t0rJxQyzRAebLdzqbrOKUJ3BqDc7bs+ujQtWXBwF1/w8noPeJZfBAoG7HJQEBbgz0RgbB0wNay/H3geDsH2lA999XIRqtYoHNMkcTujMVhyMjsLQ/EJ3uj+HE3HV7hgMJqF2hgRB08Q1RputuL64FDsSYuHrRGGSCAi22aCocz/K1+sRV+3TgVHKgAAlxForfk5J4osnCHNFcjyO7TyAYKsNhxIjkREThqu2H8GsjWlYMLQ7HMwK5OeK4WZgZjFGHMviowrs6o9EhWPZgC64+xe3y8viwakwK5RQ2Z1czBcEqpFSbkCw1YGgEgO6F2RiRecuPAtMOz3w88USDBEvQFp8NC44no3sUD0W9bsQE3so8eM099+Ub8hZfS4OCZ5wuyn7IZFJEDUzFRj5NvDlGqCsBsKlQyA9izzh86fIMLOzC6uyRHQMAYbGSvHjMXdaz+u6StAxpPE96h8nQ+k9Ir4+5MLxSmDlCSefZfWnLgPwzqCJuGPXKvcoSWochq54AKcS/OM1JMlh+OU+ERMWOrEh1y2oRycKeGG4FEE9huPTIS9ihuZWHI6Mh9Juw8wjOzC330ivGwi71Ttmy7A134nbl7tgsrN+hciDO3vN+R+u27sBF5w6gs3JqfVzBYjA4Fige4S7E/nFdAVmfGfF0VL37KujU6RIiZRidKIE0zq5y8QGCLipZ/31X+wOT2iWrhESdAwW8NV+/0nMCIIgiL8GifpzwDXXXMOt9EuXLsUbb7zBg2zGjRvH89BfdhmzMJ1bWB77o0ePYuXKlVi1ahX32WeTT50vot6hV0NRYeJuMSqbDRaFwi8bh95k5tllygN1XPjLXe58NO27ahGo/2uP/Mjr4pBukmDnqnLYlUqomJ88s6ILAhQKAX37Nh/MPHBcCPZurcGpvTVc1LO6nQgJRJ/uaoRI1CjPt/p4Uog4odNgsz4AE8urAZl/ByOqpgZhBhMKKqpQExDA/f+3BGn5CII8OBCdQ4PBJGKlRoNxh4/jzXEjeOdjZPpJDMjMheAUYbLL8XWvLqhVudsvqaoWh5KjsblXvW/ti7FheOznTXjkx034aEhPVLAREKbfNHKexpEFJ449ls0FPYPJvK5FpdiQFI+dHaLxS7/OWFnnq9u7oIrPMsss9+yeMAwKKabIDPi8yylYR3RGUpBbHG6dJWDsgvZYm+rel1mBXxrWvKX0jIhk/hiX/Ondp6ZIMDWl/nvvxnHtjWAuQHf1cde7aqiEu4HsLHAh/4UbUNvxCoTYTH7BcA1RygSsv1qGQoPIU9EzSzQnKhgdf7sXh15bguO7nAgb2xnB34/G8LXVWFQRiDCdBA8MkCIlREBKiAyXp4rIqga0chFv7RSRVhKN71IuR3oJ8/+vd+FJ1gNrrqxv587hEhy5R43jZS6EawXo1WQlIwiCaK3Q5FNEm+Ob17Oxe0sNQkxmWKUSlAa5J41iuiSyqgZBFne2BotMCiFRD6tVRGofHWbMjkJA0LnpxxbVuLD+qBX522uQc8yMiEg5ZlwagtQupx8GWLexFj8tr0GhVcIF/R2XBUIwO/DmzYfgtLr8Rh9OaNXuSbUUCpTotNyPP7GiErFVbjcSo0KOr1ISUalWo7ouZSdHFNHeYESkXIIvPp+LXUlxqNSocMm++olOSrQB2JLQHulhwYgw1GL68QO4fvbl2JPoPwPhsCNZOKHSojCoQeYDpRRSkw0quwM9y6owNSvPK9ZztFp0O5WHZy4biYKQQN4RSKwwoluJfyaoE8EaZIQHYO91MvSO9BeMrKO8MVfkrjVjEgUucIlzh9Em4pFVdvx41AmtSsBtfWV4cPA/Y+ex2+346quv+Ofrr2fuN02nESUIgvDFIdzYYoPIxC/O6wYjSz3R5hg3IwJ7d9QiPSqc+5fzbCM83wuQE6KH3mzm4rfzBSG46/7Yv6UOUYESXDFQDbDlLBk1PIAvfugUuOSeBPzwWn3KSEaK0Yx0tQp9KquQUlLGr8sPqRQjy6vxdbsGsRWCgHyNGh/PUmHbijiMyzjZqB4RxlpEGmt5qs7R2QcQytJt+mRmUtrtuHfdegw6kYXpM2f578ws8yY7z9hjlMuxNZp5J4uYcSqPd6465BVxq31qfhkuHBGIHUXAIVEDndWB+Bozj4UoDFDieKi7o7A6y4Xekf6WeNa5GZFAQv7vgsUuvD9ZgfebiKEkCIIg2h7/rVxHxHlBTDs1HvlfO4yQVqN3dh665xYg0OkOWGUBpdbwAFw0J+lvE/R/F9EpuiZDgI4H6ZCrUcPJJpTyseLbZDIYVSok1hqgrMtg4wvLmZ9vk+Cp4UORHRjY5LFzg7T4tVMCF/SMq3bt9W778IdFeHzVagzJyeIdJT+aSLGaFhrM16trTd5ZQIuDtFycb5gpxcUpAg5HBmJl+wisTAnH/mg9XHWTpXRowiedIAiCIPyhyadagiz1RJskJlmDO77shaoCCwzlNkSn6pCbb+daMznpLGZWbEWExSn5zLUyllmlDpsgICNQh7TgIMSYzJhQXIYYi9v33imTwRUog7zIgon5xVgaXz9BD4s3CFMBozvJUaQPxLDrZmHr1/MQ7zMRmkEux8vDB8MhFXjgL7PY37x1O5806tt+vTE97QAvp3I68Oz6Vbh34lT/CYsaoHS5oCurhqzOBSctIZKnv3y1g4AQtYAl02X48oALz25xIqe2/jjjkwRMbU+iniAIgiD+CmSpJ9o0+hgV4roHQiqTIClR2WYFPYNZtMN6BcMmlXLRbpdIcDg4CJK6WXLVggCbVoNKjZp/D5DY8fhrKQgIU6B/RRWuPZmDKLOFzyY7KErAwlsDEB8ixW1DlXwEY9a0i7A9NgYuATgWFoo5UybBLpXBBSleGD7KW48bt+1AeK3RT8DPTtuL3Z++j34FuZBZ7dCbrf7WelFEis2Bzf26Im1Kd7w3dRAWzhiAN0dLMald/Wvmhh4SZN8ux6lbZPhonAQrLpNi+WVSnkaUIAiCIIg/D1nqCaIVcc1dMfjwDaAg18aN7qO6qfDT/Xqe/37negOK9huhqjVDGyTD1HuTERytwg0fdUfa8hL0r7LjhWFqxHf3969/d4YGw9vLseGEEiW3zMIXlU68vbp+6ncmp7/s1Q+js4sRXVuJapUWGRFRWNyrJ67Yu89bTuO040RgCE8nernWioE/b8X+4CAUB2oRa7UhEU5M/rAfUro0nwHIQ7JewG29/2I2G4IgCOK8gmaUbRnKfkMQrZDiQhs0WikCAv2Fr93qQlWRhYt5meLPDbTd9E0tFu+1+a1zCsADuw4gjFngAaztnIDferTDXRs3YdSx4zgZFoq3B12AAqgQGSDg2FPBqC20wPp5Ghyb86DooEfYo/2hSK6bgp4gWoCy3xAE8WewCy3P2isXPzuvG5Ys9QTRComM9p1eqR65UoLwxOZnwz0TxqQqGon6jsWVSMytgDFUw/3yR6bn8Hmm5vfpj6+GDUWkDrAXWzAmVoZXL9ZAJRegSlADz9XPzkkQBEEQfy/kqtkSJOoJ4jzjiv4KHMpX4bPNFlgdgEMi4EBsKL7v1RF35GVBKKiFwu7E4LRMyGQCOm2dAU3fCOaA829XnSAIgiCIZiBRTxDnGSwg98XpWjwxWYN9+Q7M2+/kExFdd2sqxnbojupVuSj7/AhkQfEIv70rNL1ZDnqCIAiC+Hchn/qWIVFPEOcpGoWAoclyvvgSNC6eLwRBEARBtB0opSVBEARBEARBtHHIUk8QBEEQBEG0AShQtiXIUk8QBEEQBEEQbRyy1BMEQRAEQRCtHgqUbRmy1BMEQRAEQRBEG4dEPUEQBHFGFKbX4tSOCjisLmoxgiCIVga53xAEQRAt4rC58PWdaSg/buDfVUEyXPlGd0Sk6KjlCIIgWglkqScIgiBaZOmbp1B80gSDSgWTUglTjQO/vnyMWo0gCKIVQZZ6giAIokUOba9CpT6ITUfMvxucKoinqpst7yo1wHmgENKeMZCEaal1CYI4J1CgbMuQqCcIgiBaxOyUQCKIcNWJeqdUCpNKheoiM4Ki1H5lrR9tg/neXwCbE6JEAvvNwxHx8aRW1cJ2hwtf7rRjwykHOoZLcNdQJcJ0NHBNEETbhkQ9QRDEX6GoEliyEwjSANMGAGrlf6Y9RaMNNdcvwkO/HYBDKsP2lFSs69Kbb3NKJKg9XuMn6l0lBpjvXgo43IG0gssF2ScbcDIsHO1f6N/seUwWF7btMcPhBAb3USFQJz3n15JX5cIvh+3YkW3H9/scsPvE+i7YZ0fagwFQymhiG4Jo3dDfaEuQqCcIgvizbE0Hxj8HGC2Y12cYPtodBbFrPG4boMB13f6i5begAnkLjiBtmw3aijIk9w9B3OwekHaOaHG3ilwTHDYREe21qK1yoKLUhtgkFezHq9jYNdRdQxrtYy63ojbXiJDUIMiUUoiH8gGpgLxntyJgURqYxJY67Oh/MgMFQSHIiEmAwmRB2l4Dvv+5FhIBGHtJODoX5XoFvQcJRJS8uw/tnu8Hoc7S70tphROPvVCEcrN725fznHj1ySgkJZy7ztGaY3ZM+tzIBg+aJKPUhV8P23FpT8U5OydBEMQ/DYl6giCIP8sT33FBv7DHMFx75Rz3ugpg+woX5BIRV3U5e4uzeDAPrtkfQLLvGOJEEVGQwoxoONeqUPvqSshGtoP2l9kQAlR++9ktTix5+ihO7ahEWFkNwqxWlCtUyEiKgiCTYvDOo7Cq5EB8AAa81BtJQ8O4j/zSZ48ibUMF5BY7ou1GjBZPIHrPQW4PE1Wx3uPvSO6MA3Ht4ZJIEFlRCYtCgVUbLXWVFvHV67mYFGkAs8f7SneRWfBNDsAl8o6CB6dLguySeDz/eqlX0DOMohRvvZSNdz7uiHPFw7+ZmxX0HgxWVlOCIIi2C4l6giCIP0ONCTiQxQO3lnXujRt2roVRroDWYkF4mRS1XxgxTymga28let/eEcKAdqc9ZMmD61D0RhqciIUeMiQgHTYEw4l6Ae9Yfwqm1zZC+9x4v333LM6H9LsjGJ1Xxi3rVVolakID0CE9E9XBAcjoEM193BmZ/5eOyUeX40BMF+xs1xsI1vP1lZYg2DOskLSLgdZhRe/SLDgVEuQEheFgdDIX9Az2r8LhgL66BhP27UdMRSVKggKxs2MHLup9YXJdH+CAIPUfudie0R/ltaH8s9TlRK+cLKjsNuxLaIeTohrVtU4EBZwbN5yjRafPq69X07A+QbR2KFC2ZUjUEwRBnC2Hc2Ab8RQUFQaIkOLLxe9D7nILx2pZIH5MmAJRkMBmB/ZtMqH2j58xNMYE6caHIWiadiupWZOHgjcOIQo5CEAFLNCiCEkIgLVR2aJP9yF6Rh+ou4d4xXLt10eQlFfGP1tlUmRG6iFKBFSH6eFQyhsdY1P4YBxPTPJbZ1MpUB0ciEuP/IIKZTD2hnWASaHh24KLK2EM1MAcqEWQyQCbTI6s8HDUaDRc1EdU12Dc3v38R1fg9vl6JKK/qE4/afMKeq3Vgv9bthjxVRX8u1GhxMsXTkfakVAMH+g+91/F13++OaZ/bcLYTnasuoWy9RAE0TYhUU8QBHEa1uW48MtJEQkBAq7vJkB8ZAGCy2v4NgFOyH1EY5CjBgnGPGTrErzrfugyCPd2i8ZPV8yF65aJKNlXgdAueqRcFA/Bbof4zVaIn+xFO2QgEG5hrkUNjAiHHYGN6iMttiO99w+QBCmQNHcM9BclQ3/cvR+jPFCD0vAQmLUq7vGidDj89g8sN0JqtcPFnOEbIIET8aYCJJnyoHMYsSliiHebpsaEsSf2Iaa2kmfC2ZvYAWu790LHvHxuvVc6naiFBkEwevexQQZJtRlOow1SrdtnvdZY32DjjhzwCnp+3TYrLtuzDcUZUcA5EPVrj9sbuvk3y+oMO97aYsN9Q8m3niBaJzSihvNd1BcUFODXX3/FyJEj0alTp3+7OgRBnENqrCJWZokIVQMj44UmgzHPFtd7a+B68TeIRit+79MPlw2/FHapjPudPPibiNhOV+PJQjVu3ruO/8QYFErcd9Fs/NBjMMKNNZi1bSe6n6pBsM2AElUwOhRW4NOx/TBvexxi793lPc+pe/9A//JDCDKb4LEPO6HmXvQOKKBEDTQogwNqmBAOEXJYoUAVgtz1rLYhc/rv6DyoCqpcFexQwy6TYlv/VBi19VlpAg1GaK1uiz+zoStqrZA7nQgvrkZplNv1xpOtZkzmRkjhVsEptZnYFjYADon7p4Jdq5INP3Dru4h+WceQFR4Fq0IOucOJouBglEs1iC6vQKirFlZBjgJJGBwyKWwv70H51J5oHy9HtzgBGosVJpUS0dWVjdo/uqoSJ39OB66NafYeiU4XHKuPQzTZIZ/QEYKmaSFeYTo7X/nPdlhJ1BME0SY5b0T9Z599hpiYGBL1BHEWGG0iSs1AUlDrso6Ii7YD89ZhlzYS98UOxc3rlyOiogTzeqTiss+nQx2m4+VcRhtcpSbIkvRApQEwWYHY0GYOKgJZJXBtOA7X3d/zVeyqJ2/cgu+La3DpFbeAaV0XBOQGhODpkZdg4ok0xNVUcEH/+cAxfJ8atQbPTZmC9R+8jiElp7g83hHWFZ/Mq4ZoUXsncGLkK8PQx9nQb9ztvCKFzWuTkoOJ/iIYEI9SBPPtMtjhgBzMs6Vkqx1xKIMdcmyM7+cn6BkGjdor6q1yOQ71bocL1h1C9/3ZyOjiQGlEEFQWG4Yf2Ylu5blwQgcBVohw+jnSyJ0O6G31VnhGp4Ic3uFZ2ac3zEq3a9EpUwzaHypCiK0GSc5CiBCxeGMMNhe5LfIRcgfsgttt6HBMHIaezPA75uHoOGy2yzHvUxP6JcmREujCD/vsCFQBD41UYZDOgpqe7wCFdRNghWkRsPE2SFMjUWlywWQHYoPcxx/bUQaZpFFSnmYprT7DggRB/OOQT33LnBeivq1is9kgkUggk9FtIv5ZSk0iblzhwooskfsjR6pFXNYeuKe/FCmhEoiiyN1RtheI6BspYHoHAdImXDnONWJxNZwT3wL250GECx0UR7DFtsy7fXhmOvJz07FrwfMwv70DA77aDJnZDlHpQrTtKJSiGRjRFVj0IBDutnZz9p2CeOlrEE4Vc49wAWqIPsGpF2UcxANbliPYUossfRgWdh2I9V+/gPgat0hd3H2gfz0FCX7u3htDszO4+B5Yth/limEoVzd2JzFKldjYORm7YhPRP/8Epqdv5xZ5CdwWcQ8yWCGBFe2QCRuYaBdggxxOuBCOUm85e4ANAQYTknNL4JBKcSohEmaVgotzZsWX2lzoeTQbUhcgtzvRLS2H7xfiqkAf50GIcFu82f9lChVE7ljjtvB3rcyFlHV+6jAoVSgJDMb+uDCvoGdYNQrYoqTokpnp7pg4gNs2rcaQkxl4beI0lNhlQF3x9R26IEehgMxqxpjsTAQ7Xbh/0kRksRlsC4D1BQ6WKgdgGXQA/HKoFll/fIsAj6BnlBmRNeVbXH7nTUgrdPHiA5VWvFqZjRDBhZmRCfi25sxceYwWyoJDEETbRBDZr3Mrw26347vvvsMff/yB7OxsLmoTEhIwZcoUzJw5k5cpLS3F/PnzsWvXLhQWFsJqtSI2NhaTJ0/GNddcA6nUbf365JNPuJW+IexYzzzzjFc8s2OtWLECeXl5UCgU6N27N2699VZ07tzZb7+amhq89957WLduHcxmMzp06IDbbruN77ts2TLs3r3br/z+/fvxxRdf4ODBg/y62HVcfPHF/Dp83QRYXdj+q1atwrvvvostW7agsrISX331FW666SaMHTsWL7zwQqPreO2117Bw4UL8+OOPSExMPEd3gPjbKK0GtmUAneOAjjHA/kwgrxzokQSkZQLto4CYEGDTESA5AgjUAPsygb7tIApSiDtOwbUuHViyn5uRhcv6QfK/y7C1SIDBJnL3k0NlQJHR/VmrEPBpmgtv7Hah0gJMcBbhxp8Xw2pzYeSwSCifnwnIZVykY8sJiCYbvg3vgNlrBG6R9sPpgmBxYojSiGu+X49+J/NwPCoUL00eCXnfaFRYmWUfuDrCjAdf/xGOA8Wwy2UwKeT4pU9XfDFuEPqXFOOuJethC1Th5eljcUCiRT/BiCfXbELczlNwBathsKgAtQKhN3ZB1BN9IUgEWI5V4fjs1bDuKkagowYxyOduKRUaBcJMhkbNfPGsx/Du/FV+6xQwIhpH3V9mDoV4xTDk/lEB4+I96FjGcrH7+507uIuLrxXdBSmqeKucCI5ASmWJd0unh97GsQh/V5HN7z2DoTlHvN/LFCEoVCYg0VQMi1SBtOAUZOmisb57ML7rOchb7qq0nZi75AtI4X9d7EVtQwiquZ+9AnLYUQU9TFBDkDgQKpSgIkyHH3qOgUsiQ3RpNfodOMn95j+aMgRxFgtii6owZE8GvwaTRI5aaX3HpafjECLEcr9zWqBGKaJhlsmRHh7FOyjDCtP5/pUaHT4bNRkmpQphVdXcnceXhLJiXHh4Z6N789HwcdjSIdV7Tdu0alTK6ts50WaDWaNEpUIGu2/GHPZwuUQoHE5kv/smmLORL1UKFZLvut9vXYTBwDMSmeUyb+aeMyElQYUHhshwW/+zN6hUnazF9hfSeNxEcMdADHulL/TtAposK1ab4diYCUlSMKTdo5s9ZvpJKwwmF3p0VkEhb12jZgTxT2IS7m5xu0Z8F+czrc4EzITvXXfdhT179mDw4MGYNGkS5HI5Tpw4wYW0R9QfP34c69evx+jRo7lbDdtv69ateP/995Gfn48nnniCl2PbHQ4HF8fTp0/nYp0RFxfH/2fb5syZgwMHDvBzXX755TAYDFiyZAluvPFG3iHo0qWLt2533nknjh49igsvvBA9e/bknY6HH36YdygasnnzZjzwwAPQ6/W48sorERgYiLVr1+L111/HyZMnvXX0hR0/LCyMn5t1Glg9R4wYwa+ddSjYMTywzgjrTPTp04cEfVtg4WbguvcAa50Y6RgNHCtsXI4JHDa1JoMnCwdcggouQevO9e2D+OYqZM7fj8tvuR8FQcFQyQBLnTYNVgGPDRDw8Mb6feYjCvMn38U/x1RXYPULy9H5gbFwTngL2H4KJ4PDcO2jz4HPJtQQKbPQO/Hoe0vQvcAtaMNOmjDvs0UYGn4rjColT3PY+91lcBwr4NvlFieCYMU1q3agxC7BeyMGYdFVV0Brs8PocFuEVyAAGamDsXHNTpTVso6pjS+FT+2ENECOsFtTcaLXt7CbBUggwIAgnIIan180Hi+t+B6l2gCEG2vr2wQC+mXmNaq+DVo8MOk6PLzhZ0Qs3AJh4RbEQgcRskaC3t30dp7Zph4mCtl3p5+gZzy1ejGuuXIOxLqOepeiPAzxEfS8rWwVCLaxY8qhcVoxongfUgzZqIjojTWGGhTr3H/b3/UcgMc3rkCXipMQfOrFRg7Y2dm6YsTXSeK6++SS4lBIKtI6JSGAP192lIXqsKVfJ4zedhhxOcVwRYag1+E6yzkAtcvOO25GiQJOqQRGnRKob0a/q9Y67EiorsC2jp1QEBmBnoWZOBkVzQU9b1uZrJGoj/IJfvWla2GeV9SXyKR+gp6RJ5djbHktr+e+UB2K62bofXzLerwycBj/bBfkUIn+ov6PdimNzlWrUKJnXjm2t4vC2XCiUsTtv9kRpRMwLfXM02q6HC78fs0mmEvc+ftL9lZgydQ1uGrnZCi0/hmI7CuPwXjJXMDAnndAfm1faL6+3M/YY7WJePbdMhxId7tOBQdJ8Px94UiKa5zNiCAIotWJemahZ4L+hhtuwB133OG3zVWXMo7BhCwT3r4vwKuuugpPPvkkli5dyq3sTBwzS3p1dTUX9T169ODC3ZcFCxbw8zHr+JAh9VkeLr30Ut6BePvtt/Hpp5/ydey4TNAzyzmzznvo168fF+++OJ1OvPrqq1CpVJg7dy4iIyP5etZpuO+++/Dzzz/z0QLWMfCF1ffZZ5/1W8c6I2vWrMHy5cu9nRoG69Swa2OWf6KVY7EBd35WL+gZTQl6hkfQM0S3SHWJarfPdxMklJTiidW/485LrvYKegazzL+ys/mBODYz6CNZcVjy/lou6BkvjZoANGfRdIlILq/0CnoPerMFw45lYUVqCqbvPYwRxzKb3H3q4Qwu6plPuVHpH9SYGRqMLdFd0aHQ3zpd8f1xqEuLYPOZnIixsWM7LO4xCN/0G8l92Gft2YD3f/oaWhsTYDLctWsNHNDB5JM5pjBIhw+GjsPj6xZ7+kpcYDOaSsP4Vb9hqNAEYdqhfWhXUe6ZRsm7vVytRajZ7V8+5cgeKO02WBRuATou43AzORrYvXWfk7VyvLECD2xbg4vT09Dzjsd5mkhe10A9OlUEcL92ll2H1dPjFhOEKuT6Cvq6mmV0iPXz19dYbSgJDYRJIcP4Q5nQ70r3u0JWUueyQRSAX8f1R2FpAJJ3uDtjHoyotzDv65gCU5A7nHdjUC8YfdxtajVqyJxOd5YdUUR8aRnaFRQ1qCWQqw9Dvr5uRltRhLWJoGanIMAhCFCJInqXG7AqWo7OpSV4cNsWpIVF4bcOnZCjC0GHWhZBYOfH3xUVgydGumMafFHanXjqt114c2wvrE5lHaGz47uDjrMS9cw67xH03uuxurDv3aMY+FgP7zo2Mma+/SevoGfY5+6B4+rekI+vn3Rr1WajV9AzKqtd+GJRFRf2BEEQDfmL85ife5jlWafTcUt1Q5h/uQcmlj2CnlnQmbitqqri1n0m/o8cOXLG52MuMcwaz/b3LMyCP3DgQKSlpcFicb+kN27cyM85a9Ysv2MwS3pSkn++5/T0dO4WxIS7R9AzmFvQ9ddfzz8z63tDrr766kbrWD3YSADrVPjCvrO2GjOm8Y/Zv0VFRQV3hfLARj1qa2v9RhfKy/2H+Fk7tfS9qKjI7R7Sls/BXGzKmzCDnhFu+2xL9MrPbXJ95Wn8g/eHx8Oy86T3e05IWNMFWdtYnahVKrjoakg1s6baXEgtrPftblRG5T8DakMCLf6WV4YsRAVJXe51X9Z1TUJhUAgX9Ffv2YivF37oFfSMAJsFwSjjfugMu0SC56eORmxNhVeI110Yb1sXNH6Cd1GPQbj58hvwyNRL8dGQkXydBGYu/HODQvFHh+44GBkPg1zJrd2PTbrKK+gZ74yYgMzgxsKLCfSmSKksw6Tjh/nnSEMN2peXYE1yZ9TKA+GC1ivoPU5ADZ8H5itvUTXO/sKs52VhQdCb3e3Q8M6xa67SaOBQyFCkC8eSrqOQGRyDbH00fukyAkXaCF6uQqdFRZB/ak2nz/uYTWrFtpfog9Dv4HF0yCjACWkcDkg7oFTQoxZqbEnqgrSEFByMrkv1KQiIcDh5Fh1f9A4nF/QMdqWXHM/ET/PnwgQVrtx6Cl9/sxowyVGLANQiEF916YfxV81GuaZxfvnUQndmnYv3uzutZ4RPIyklrrP6O1cENW1Br8kz+r9LCsrhOtV4JMO5v8DvmKdyG/9NZObY/xvvRDpHm2+rfwNmgGlpOd9pdZb6nJwcpKSkQOljBWoKJrq//vpr/P7778jNzfV7EBnMVeVMyMzM5A8t81lvDibyo6KiuFtPaGgoF9INYaI+KyvL+52VZbRr13gWSXZ9vmV8YR2MhrCOBLPWM9ci1llgfv7sj5HFE1xyySW8g9NaCAmps8LV0bCtWLwCa0NfoqOjW/zO2r7NnyMpAogOBupExtnBzO8NbZ7+bEtqerZSFsR6oJTr7SYZHOGCamQqXEsP8O/3b1yF9Z3crhHekQGnW9CzKpTptFjYtxuu2n3Qe4w9iTHYFhfLjdB7E2Mwe8veRudhHYGPh/bzfg8xmlChrQ9cnHwoA90qc1COsDrRyiN+EPlQL6hLCxA4dxVqEOwtXxlQ/354efn3kIjs9I1fZ+u7x2Bpp37Y1KkdivQBkDqdyA8MRmxNJW9NCSx1gl7J9y/XKDHr6luwumO9VbWMi0XWgE48Of5yvDRmBvfP1lnM+GLRR5hxaCfWpnRrdO53h07EW8vm+a3zdadpiMphR//8k0iqKEfnu5/hLi0hplrs+uQ1JNTUPzclqDcSeGB+5mqTlfui+8Is/2FNdCbdYw4CDFIl7/BI7Q5+jJNhCXzxoKwFAkxmFGkb58pnaSwb4pRKUaQIhk3q7mDYBDmOS+JREyPFuOwDkIouTDy0E98MGoF1nbvxUOS+JguOqJQwSgSEOZzoXtcB8RBhtiLEaMZeWSeE1LD2c6BGooMDMiQ5S1Gmbvw+5m1ic+CaHe6sOnIWOXum1P2ZMYnw6HAlQlmu1DP8Ow/pGAR1mBLmMv9rSBoT4/8u0elQ0zUSrsPFfuVkgxP9jtm5vQIrN/lnG2LroqLC2v47kc7R5tuKaH20OlF/prz55pv44YcfMG7cOO6qExwczANqmehlgaxnE//LhHdD9xlf2LEZLR2z4bY/G3/cnECfOnUqPv74Y+5y9Oijj+KXX37hIxLketNGYH7D38wBrnzLbbFnM3z2aw9sP+bO7MF82Jm/PCunkgMGC/dhZ+sFuxMSlR0um7KRTz0jPbU9Xhw7mX8OVQGVVnexdkHA1xdKYXeJuOhnF3IbaLvuGiteuzocgnIkhA3HIC7ZhwuPHcGkvOP4PTbF7cphtLsVoA/PTR+LHSkJGJiZi2ORYVjYu1udV4mAZT07Y+TxLEzffYhpcuyKj8Gh6Ags6ZGKtFj3D4bc4cCde/YgIDkI+0oF9M4txIy0wwhCMcJxEmWIgRiuR+j8mdCMjoPoikHI0kPQfn8Mh4MTsCsxBno7cwFqD4nLxa3v9a4x/oOPMw/uwppOnbig94jO2ZffgR/nvYlAqxlOiR3ze/WBRa5F98JcbEts5yfo2fGHn0znxz0Q2QkvjLvUu82gUmPmrPugNxsRXVvld972ZUV4ccXCRvdqa2wKAoxqxBrKEOQw+Wxx4buf3saS+BGYcf3NXjeaCk0ABt78IF5Y+Ts6VRajY54BZXBbz1kcQFmICg6HAjaZBKpqI8zs2ZFIeGsY1CoeqFyrU3FXHF+K9VoUa4N4WZNOCcHpgkGl5FZztcWGiPJqqCx2FCt1KGrXyZ1i0+6AU17/k9Fk4KkoQl/pL0LZlXTIK+GCniFzuXDNjo3YlZzC25BZ6yMMJnQuzENhUDCqG1jcI2uqUC4JhFPw/7kySVSwOyWYfOwE3h7cDyZF/UhFcmk1Hl++B7HV7rrkhqkhdTjhbOC/3xwqOPHlNCW6Rpy5642HSfOHuf3qS93Cvt3UOLS/qLHrj+aLy2CcMRdiQQ1Yzk3lA8MhG5bsV2bMYA3SjlqwcaeZ97ETYmS4aWb9vAIEQRCtWtSzDC4s+JRZz1uy1jP/cuZX//LLL/utZ1b7hrQ0GQ2zjJeVlaF///5+7j1NwYJWt23bxoefAgL8sxmwOjcsyzh1qvGwLwuS9S1zJrAe9/Dhw7m70D333MMz5TCLfcPsPEQrZlwvIO8z4GA2wAL3QgOAggq39b5LLHAoF0gMB4J1QFoWEB/Gs8AgPR+S1Dg2iw5cD/4AHCmA0DsBwnVDIMQGo1uXGOyuEmGwAz3CBeTViigxAb0iWJ+APfsCcm6VIL3crc6VUqDGBvSM8IgnOaQ/3wnxZAlgsuG37nHYmuvA5J9EVLHClnqXkR6RAnberESNtTve3NEVJ7MdCC4XwWRGl3Dg8h4SXHXvVKiKRsBVbsYFKRHYu8MJZaYTw6TAheE23BBlRsTz4/jfpSO/Fs6ieEjjxsCZUwOF1oU4FnDZvT6TkyCRIOS7G/B/44vw27YapEXFcpGZWF2O7KBQrOjUC5PS90ECE3dVqR/RsKNKqcYry35EtNOM3xI7IdBiwR1bN0PTrxscBhMEhQLjbu2H4r2n0OvjfRiSsw92qRM/9+gPvdmEBzf8ivHHDsKJQOyObyK7lCCgSqNDmLEGWqsFxrrA0Qc2/AqNw19IszqHGszoWH0MFfJgOAUHpKLbJcft2gPsS4z084tnlOkCcdt0dyzNzbt24oq9abBI5VjXMQn37lmBH7rPgEuU8PSVXNALIkr0wV7Rva9rMsZsOei1VpvlUpTotagM0SAnMcZ9PlFEraDgnZjBe44jom62XFbn7IggVAaoEVhaDVOghvc/42uKobZG4VSMf8YfNumUhPXmmKO+D3LRf4RC4XQivrIcLpcEx2KiMXvrOoxJP4QyrQ7PXHQ5b1P+rFrtMMhVeGPEaEzffNy/7UUWxuxEYm0Fliz+HtdNnY7CAPeIQrDRgtIANQxKOSra6TGsogKvsql1zwQRuH2QAlf2+nPBqPqUQFy5dRIqjlZDEaRAQGzTqTRlAxMQmP0Yd7mRxOkhiWqcIUcqFfDQzaG4droDRpMLyfHyczK5GkG0Xej5b1OifuLEiTxolaWBbBgoy6zfnhcaE+ANreEsWwwLtG2IRqNp1iWHBc6+8847PJh19uzZjbYznzTPEBYT1SzDzrfffusXKLthwwY/1xsGE9tsaIuJ7+uuuw4REW7rGrOus6BdBpvh9myYMWMGz57z0ksvcfcbdlyijcH8nvt3qP/O0leyheG7vp9PJo8B7vWSADUki25v8rDt9PUvurgAAXFNZNDrHNryy1Bo735GGUPiZSibI2JFpojdhSwbjwu9oiSY3EECmVRAuEzAy6Mlzb9CEoL4wmzzL41l5TwCiYneelcOWWwAX/jnyJaHdl+YHYULR4djb6GIgbES9InR4JUdLjxquw2Sbz7E+GMH4BKMkIhKQKmG8PYshDhcEMZ1wYudovDC/hyImwqBmRMgGVnfGWZd67gbBwAPjQZ+24Mr15/C4+8+7nduCarRK/9YozqFGWqw7MtXMDD3BMo0Afiy/yg8N/YSngWoMRKkVBeD2dHD7I39qVnayJ+69Xa7PTUUblx4u/DZgIF8YTy0ZRlia4twy66vsSt+IA4GpMCqUcElkyC2pBS5UW43nZIwPX6eMBDxBWUYkr0TFlcw19wBNUZEVFahVB/EfeL5bcsv8wp6flq2rrQKSaYClGmCUF4VCH2VHQi0QyUaEKitRU2gjuVGhtpiRbfsHETZKlEkqx+2t8qlCHH65JRnDjQSCeJKKjFt9z5UalVIMha529NowGuL52FXYnsUS0OQkFuBzs5SFF3bD0dPBCKyqL5uka4KBMN93Ijh3XHzjHAoZAIGJkgRpGqH7dlJ6BUrxbB27mdUfLCq0ahTk0jqM0j9WdjvVGiX01vUBZkUsn6nD+CNDGt1P9UEQbRCWt2bgqV+3LRpE7788kueaYYFiTKLPbN4M2v4hx9+yMux4NCffvoJjz32GAYMGMDF96+//oqgIJ8JZepITk7mwn7x4sVQq9XQarU88LRbt278fDt27OD+6nv37uUWe7adBYwwn3Xml8Zy3TOYqws75+eff8794T0pLVnAKstaw9Js+gbEPvLII9yt59prr+WC3JPSkp2H+cg3zHxzOjwBs2yUgrUJ6wARxN8Fm0xqcnu28G+toqGHJkgx1Cfs5P8GS/F/g8NhfugpYN0hSBfsBgLVkNw2AkJnf39RoVcCX5qFxT3ceSGSbnVgWY4VU3Zu9qZFfHLy1dwTacCpDOxM7ugV3U+vWsQFPSPMVIuHN/wCo0KJLwaOxuw96/0manIHuyohKp2A1cEFc41ChU0JnXEqOAKf9h2Fw5EJSCirRE5YffyAh4+WLcTwrON4aMIMlGvUeHTzL94ML8O+mwzrlVuQV6vhaTVZx4H5vJfU+cSyINrCmEB0OXgAuc6ukFvkOJoUwesndbm4yGbojOZG55WIAirMIUgwlSJGqML2hFQIEjukLhGJWQVwCQI/14lOSdjVMQUXlZWjQq1GWbAORo0KhztEQ9hrw7BTR3m9oJBi9zXj0GeJu5Pkm46UobbbMfxEOo8+KItLQsKpB5Eol6JPpRUnP8yA5Vg1gpNVCCvKAZyxUNw8ED0HJKDh27R/g1vNRhhYeMhpkUowq0freN4JgvCHgmHbmKhnOemZwGaTQbHJp5iIZ8Kauckwv3IP999/PxffbLImZilnGWaYUGZZbBpa+JmfOpu46aOPPuKTNbFsOSwrDRP1zA+fpa1kgp8F3XoEfHh4OLp27crL+daN1Yf57LN0kkygd+rUifv3swmgWJCvLxdccAE/HusEMOs+O298fDwefPBBv9SUZ2P9mTZtGj744AMe2EtBKwThRs0m5Bnf3b38RQSZDL1X3YcH516CvGOVwKAOeH6CGh12pwGPfYl9u/S4+NK7kSvVYnB2Y+s9W8eCaVe3747xJw7wGVntUEPKRb0IYfmTwKs/czesnHEXIO/aGViarYQlrRi3bd+ASzblY9yDVzay1rNA2o4Vpfj5+09QJQRCJobA2LMLlO/NhHRgOyS97ETE7EXYFd8FgsuF8PxSJNTmICs0HlE1JZh8ZDVkzHceeuisdsjrjq+y2WCom7W6IDIEfY74jzraBClMCiVOuOKg19agNkSJQGatr4P74Vtt3HXHqFbjVFgkbKISlTF6GJQKDE7LhCJXisq7JyFhWiykPaLR3SZBxq9uN0QW8NowDNwmlXIXnZh+Wghyt8CWByvR+Yn6eAeg/9nd1zMctW8fBAxJIFFPEETbo1XOKNsWYfnnWW56NrPr38m8efO4uxCbFMszkRZBEP8se4pE9JvvxGeLPsZNO9f6bXtp9DQ8ceFV+G7+u7gsbRfsCIC8Lr+95Kq+kHzbtAsVLv0fNq9zQFOhx0uTBuPH/vUuQolV5Uj78CVo7W4//YPa9mg3/zIETat301r4UQFyvjmCkDIfFxVzCYaVbkOQvRZWqJCDVNTC7U64v2sCSsOCePabMn2QV/V2P5yF7sdzIHOxPPJSZEbpYdbIuVuQxCVBZUQAgnxcdBjMUn+sczK3+qcczUdGN38zea9dJzHiwQ5IvtudWYkZOOZduxBjFrgNIWymWhXMkMLFc/SfCovA0FPHIB2ahIDN/kaaP4vswaozstS/M02Fu4e1noxiBEHUUyv4zxrdkADxzfO6uVqdpb61w3LWN8xQw0YKmHvQn7G+nw0sjScbUWDZekjQE8S/R98oAff3FfBs1WW4IDMdnUvd+cX3xCbj9REX8c+hRgvKb52KUKkLQm4FhJn9Ibl6cPMHvXo4Un/6BtnQ45Hl29GpuAKbU2LRt+IE7t221ivoGdsm90NvH0HPCAqVQWL3V63F6ggsTJ6OrvlFUBtZwLNbuNvkUpQHB/CvNVptvRlbFMEmaj0RHoLAahuqQpSwqut+JgQBLqnIRwEsGhVUJos3X31+nDvAV221oiyisQtkXkIYoi729x13jDJhd3ggXMuC4ZTJsDG1EyoCtLDI5Hj1p2/dp1T8sxbzCZ1kuGtoy+mUCYIgWisk6s+SF198kU/q0L17dy7uWQpN5svP0l42FWh7LmD++wcPHuSdB/aZuRIRBPHv8sYoKW7vFYGMEY/jj2f/wA89+2NrUicubicePQRVeCAiP77qzA84fRBCPqhG2QMHYTRrcMmeDL5URZoRY6i3jK9P6gD7PSMa7T50fAgOzg0Aqv191O0KOQ4nxCKuqApBJgsMGhUiLgjHjMe7I7KTDq8/eAq2KneGI7ndgfL4QJhqWGBzJWws+1ED5DYHDCEBMAeoeerUshA9TxWpM5mReLIYxRH+ua0ZLJ2lMrBxdrHybgqo44dg66oqPsFVdE0VLtmzHZG17gBY2ZS6ORPOARE6AYW1zZvq512pxqx+JOgJgmi7kKg/S1iw6qJFi3gQrdFohF6vx4QJE3DrrbdyP/y/AxZY++yzz/Jz3XzzzRQgSxCthJRgASmDg2HatwmpxWXY0P4kuhYVYOrhNKgWNJ4V+3QIt09AhxvGonxuOnLmbIJgdUFfrMZJdEB5iIAPRw6C6op++Ghg43SLAXoZbv+2H1bM2YXq7UXuyQoEQGW2QgxU4WRyFKLKatA9VYmUb0ZCFuwecXzyk07Yv60GxXlWdOiuhU7mws4vTiF/uQ0aA8vl7y/sHXW56l0yKVyiiBCDgX+Xu0RE51RBaXKiLCLQz/rf7VQmbO+ZoXpqXKN6j7k2GmsPu9D1cB4uPLkH7SuL4JIIUM7qA+WcoThXvDpFjWu/950bwJ8wXaubYJ0gCOKsIJ96giCIv8rnq+C65UtYJGo+E6lqZh8I3875S4e05dai4IU9sGRUQT8pEcJN3SFXSRGiOX3Ep7XGBpfNBalSCofFCU24Co4qK0SrE/LIpvOmNyRzeT4OfZmBsr0VcAluwaux2+DQKXgupHYFRTh8xVBYw3QIi1Ri2CAN9g/5jZerClMjMymKT0DWLrsQowr3QXt5F2gXzvL61HtS+15//fUoKAF+/qMWlTVODGvnwqihOkhD/SehOhdM/NSAPzIcTVrxs/4v0B1wTRBEq4V86luGRD1BEMS5IK8M2JoBsCDRLqfPPd5WyJybjrXPHkansmLE19TPnHsqOBTZ43tg9oL6OIGjD+9G1ttHkezIgxLuDDlBooHP86v+YBqUdwxpUtSzzGL/BOnFTgx6txbV7nAATq8YCb6YqUGfOBq4JojWTo3wQIvbA8U3cD5DbzGCIIhzQVwYcHnYf64tk6/tjOQjRhz7QYRBqYLGZkWFWotyrQ6BWn/XnNT/9UP0pYko/vY4dL9uhTyzhCeIl1/Vm+eT/7fpHCnFgQcD8c1uG2wOEVf3UfB1BEEQ/wVI1BMEQRAt0uP2VBz5rQj5dZNUMVjIaa8rG49I6AeE8wXvDIEzswKCWg5JVBNTHP9LJARL8OQ4SllJEG0TcpFrCYoMIgiCIFokLFGD6AvjYVEruZh3yKTQDo5Gh7H+s/Y2RJoc0qoEPUEQxH8ZstQTBEEQp2XaS91waEQEitJrEdUpAN0mRFCrEQRBtCJI1BMEQRCnRSqToOfkKL4QBEH8G4jkftMi5H5DEARBEARBEG0cstQTBEEQBEEQrR6y1LcMWeoJgiAIgiAIoo1Dop4gCIIgCIIg2jjkfkMQBEEQBEG0AShPfUuQpZ4gCIIgCIIg2jhkqScIgiD+FbKcobhmOVDrcOD6rhJc2sltZzLY2BRXgE5BVjmCIOpxvxmI5iBRTxAEQfzj5DqC8YppKsRjbuH++ykX3jG4kFYKfHPY/eM9MQn46WIplDIS9wRBEKdDEEWROj4EQRDEP4bdbkfoO2bUQuO3XisHjHZ/c9zoBGDNTLI/EQQBVAiPttgMIeIr53UzkU89QRAE8Y9yuByNBD2joaBnrM0BKi1keyIIgjgdJOoJgiDOc0qMIlZmulBs/GfE84bcZjY0c/r8WhL1BEEQp4PGNAmCIM5jntrkxIs7XHCJAmQS4O1REtzRW4AgnJ0fO/PkPNN9lp5sYWPDQ4iAWkainiCIpl4QhC9kqScIgjhPWZPpxPPb3IKe4XABd612QPGaHfq3bXhxm/O0xzhVJaLvV3ZI/+dAyid2/H7S1WJ5ZnXfmNdCAdFnYQjAvCOAzUnCniAIoiUoUJYgCOI8ZcL3dqzM87F8OV2Aq048M6u7ADwxRMCdfWR4cZsL+0tFKCRMYAORGhFVVhEbsgGnj/VMLgGyb5chWtfYovb5ASduXnkacd5wc91hQlTArlkStNOTLYogzlfKhcdb3B4qvoTzGRL1BEEQ5yGFlU6MmmdHhkXqFvBOJ1CXH54LaYng/V8iAVzsi0dwM+Fvr7PIM5XfwO3mswkCburl791pd7qgfMt1ZnmmfQv5HDpUBZTdRV6jBHG+QqK+ZcjkQRAEcR6xLtOJkW9X4eKH0lFUUAudyQaB+d1Y6qz0LhEBJhuiaowQuHh3wlVrZzNCuf1zUCf4mZjn+znrxXedAL9/nRMPrnd6J5Fi3LnmDAW951hNUG4BntlyepcggiD+m4gQWlzOd/4zov7XX39Fv379sHv37n+7KgRBEK2SQ0eqsXDOSvz28B3Y+cWTyH77Xsw4uBsqo81dQBQx9UQuHt5xEHfvOor7th1CeIURYP7sShmgkPpZ8KGRASpZ3TrPAtTaJXhjpwtX/OoW4A+vd+CzA2dZ2WZ+n5/dJmJnIfnXEwRBNOQ/PY5ZUFDAxf7IkSPRqVOnf7s6BEEQ5wSXzYnKTSWQBckR1C+sfgNzodl0FFDJUd27I2793YFf0x1g9nWdxIWhe07hxpN7YVAqobVbcCQiDgu79YFVkPLdO1dUY3BBqfdwYWYrLs7Mx+e9O7oFvQePu420CeXNttXNafjbSRHJ75mRZZX/uQttRti/t8+JedH/6Z8vgiCIs+Y/81acNGkSxo8fD7lc7ifqP/vsM8TExJCoJwjiP4EhvRq7R/wGS7mDp5EMHRqKvn9MxDvLSnHJHc8hsayYlzsZ3x7LZz8Ok07HRbYFUizt140vcqcTny3+CGqrDV/+/An+N2QK0qISkVhtbHS+xFoDeK7L5sR2U0ZzoX79nxb0LbDiFHhO/UgtDbcTBEH850S9VCrlC0EQxH8BJtjFtelwZlWiQh4Cp1yB8ElxyJi5HGK5Ecd6JcIul8PukmDt+EW44uBGJFa7BT2jT+5J3LN9BZ6/YDpgcbhFNktNo5FB7nLggqxjaF/hLn/p4R0YduNTKNKGNKpHkUbtdr/xIDQv4P1WCmKzk0n9VcosQOqXTqy5XIK4AAG/nHAhqwboEgpMbS+BTkFinyCI8482kf3Gbrfju+++wx9//IHs7GzIZDIkJCRgypQpmDlzJi/D3GyeffZZfPzxx9y3/pNPPuFW+oawfUaMGIGHHnoITzzxBKZPn96ozJVXXomamhp+TAlL+3AGPPPMM1i2bBlWrVqFt956C1u2bIHFYkH37t1xzz33IDU11a+80+nk18TOkZeXB6VSiZ49e+Lmm29G165d/cqy62H1vvDCC/HRRx/h+PHj0Gq1GDduHO68805oNI2nWycI4s/BXom/bDBh8z4zggOlmDleh/bxf8LanFMKvPwTkJ4PsVsynFUixIIqSCZ3h+Tu0RBk9UaI7HIHXnn/BNIL7BgtlGH8Je3w7txCVJoE3LoiHUoLEC9mIRIFkIsOVKvCYbBHQFYntgv0AYiTpCGlotCvCktS+2H6xXf710suwdXHt2P+gvf9VptlcoT93+e49Eg2OpdWu9dJpZjbpR06lpzAml794GLvwyYmh4LL5fWndwt6b2M2yozzd6OTAXuulaJjCAl7gvivUSr8X4vbw8UXcD4jawuC/q677sKePXswePBg7mbDXGxOnDiBdevWeUV9Q0aPHg2Hw4GvvvqKC/fevXvz9XFxcejSpQvCwsKwdOnSRqL+yJEjXDQzcX2mgt6XOXPmIDAwkO9fXl6OH374Abfccgu+/PJLdOjQwVvu6aefxooVK9C/f3/MmDED1dXVWLRoEW666Sa89957XMj7kp6ejjVr1mDatGmYPHkyDwheuHAhryvryPyZuhIE0Zivf6nF/N8N3u9b0yz44ulwRIaexevSbAWGPQHklPGMDPb1TGy7/0adazMgZldA9o773WWyiRj2cilyEQUEAOsRj+dWAY64EFy1NR1Kq4D2Yjo6iOnewxstEZD5mMFjqmpRHh2MFPiL+h3R7RrXze7CsdAoLOvcB5My9kFSZ9dROhxoV12LeX06IrbaiACTFScDdLDplFj4089Y1WdA89frEe7sUMxC71H1/7CgZxgcwBXLnNh7bav/eSMIgjintPq3HrNmM0F/ww034I477vDb5mLWoWZgApoJZSbqe/TowTsDvkydOpVvY52DlJQU73om9JlAvuiii/5UfaOjo/G///3PO10661xce+213Hr/4Ycf8nU7duzggn7UqFF49dVXvYKciXXWSXn55ZexePFivynXWT1ff/11HvTLuOyyy/j3BQsW8BEMZsUnCOKvs3SDv1+52Spi1XYzZk0OOPOD/LaHC3qGC6pGicZcn22C+Mal3Fq/7IgduVDXb5QIcEjd5ePLa/n/CWKm3/42NB6dOxLQBQrRiN5F2fz7H+27490hEwFHg4ISAbsSOmDq9Y/giv1b8P337/LV++O6YECxCTHGEuwLVyAvJrQuTaWADe1TIbicEBu6OPKZXxsM9vKvp7HQ+8wW+3dw2N30BEEQ5xWt3rzLxK9Op8ONN97YaNtfsU4zCz3bn4l4D8xdhgnkAQMGcHH+Z2AC3leMM7ebgQMHcsu6weC2/q1fv57/z67J9xrYKMKECRO4i9HJkyf9jpuYmOgV9B5mz57N/2cjFq2FiooKWK1W73d2zbW1bmHCsNlsfATDl8LCwha/FxUVcZcIOge11T/yXDXhkCie7TlO59TIxbD7Okxmc7PF0hI8mW38D6hBVaOya9u1R58rn0Kfq55Cl2ufx8SL7oVVIofOXv/3yFHXC/MFvYZidUpPrO0wGF8Mdo8cRJisqFHXdWBEQOJw4n8XTEPn4oJmLuQs8Rjy/0YjPsuyyaB3iRt679LvR1N/D3/17+PfgPLUt3FRn5OTwwUt8zk/l7CMOExs//7779zFh8HcW9hDy1xc/izJyclNrmOjCiwbDyM/P7/Zsp5RA0+Zlo7LXIgCAgK4T35rISQkxO9esQ4Zq6MHhUKB0NBQv30adqAafo+KivLrKNE5qK3+zudqynCtXzmVUsDYgeqzO8fkvkCcu6wEFm6v90VywxAIcim/jsv6BCIGPsLeJULGUlMCWNk9Cct7JCJHSPLbPwQ5UMFtJGA/wT/3TcWCrh35932RiTgaGsM/h5bVIvf9u3H3npWASgoEyv1TUwJ48sJb8fLoq1CtdFv/0yKDYJXXD+IyP/ppe4/hgy9WQ2n3N/uHGG3uCao8nE6s+3jmtMhfjPR6sL/7JPQucUPvXfr9aOrv4a/+fRCtj1bvfvN3wqz127Zt45ZzFnTKrPZ6vZ4H0v4deP5YWE/Y9w/Hl+billsq39w2giDOnhsuDkBwoASb9loQGiTBzIk6RIed5atSowQ2vgC8uBjC0TzIurWDiwfKVkMypTsk94/zFtUqBWx+JAwvvHcS6cVOjBFLMPGy9nh3t4j8HANCdIX4sU9fhBmTMTYvDQmGEojQIQoFcEAKCWyQSkMhhQuOBnaa7iVZ0FvNuOz4Lrw7dmrjeooitke7Ox8ylwsjc8tQzOregAOJERh9RI1epwqwo0O8NyC2QquE1OmC0xMQe7p30Zm+qs7ilRak4GECcLqACA3w2EABt/emTGgE8d+E9E6bFvXMSs/cUdgQ0Nla608ndocPH84tb0zMd+7cGfv27cNVV13ll+v+bMnMzOQZbxquY242nl4xc7NhYpytZ+f15dSpU94yTa33paysjI8sxMbG/un6EgThj0Qi4JIxOr78JZIjgc/vdB/zNMOiyeFyfPGc513gzn41pE73O22pyNxYArvFCUefG/D9lPdw1b6tcEEBGZw4EhGJbF1ndDTU4qAmyHtMhdOBlzf9wD8PzcpA37xT2BPnEzjLLOxi/TvSIZFgS0wIpDzQ1Z+uBSVY0i8VO1Li66zt9fs5pRLoLHYY+AjAP/eDG60FVlwiQY+IVj/gTBAE8Y/Q6t+GEydO5ML1iy++aLTtdNk4PakeWXrKpmCpMVlA7M6dO3kKTHa8v+J6w5g7d65fvVjWGnZ8ls2GDV0xPL7xLFDXtyxzuWExBKwj066df9YK1rHx+OJ7+Oabb/j/LOCWIIj/JlKFBCljo5A6JRYpMXIUvHcn7rn4WvzcrSdeHHsRti14Dm/PkWBp0VJ0ktZyh/JYWzW2LngJ/Yuz+DGY1J58cJfbnM3eOWYHYHPVi3u7E7A6YBYkMMhk3PruIaG8CrO37MFPfepS7Tah281yKeBoPnHBuWZMPHD4eikJeoI4zxBPs5zvtHpLPcsZv2nTJp4S8ujRo9wPnlnsmeWaCV1PRpmmYH7oTNizTDJqtZrndmdW7W7dunnLMBH/9ddfczHNsuQ05bt+NrDAE5aCk40CMEs6S2nJ6nvfffd5y7BrYAGxLCiX5ZlnZVmmHlZP5nv/2GOPNRplYL72Tz75JK8vy9HPAm9ZDECfPn34sQiCOD94aKgS2d2mYn/JFFwfJfDJl4ABSJ42ACzp5a5CF0pMWnTrOhHW/y2Bq8qE7CnD0e2+SzAgTcDOdCvAjeqCe6ZYm9t/n8OEuVQCp88MsuU6Dfexd3qC+pvwi5e4RDjZ8RrkpY/UAJ9PkOCq31yotZ2b62dHX3yRBHoVDcMTBEG0KVHPXGHef/99zJ8/n4tgJuJZ0A8TtiwtZUuoVCq88MILfMKm1157jQfEskmcfEU9E/lMZG/fvv0vW+kZLMf8m2++iU8//dRv8infHPWM5557jrvesMmn3nnnHb/Jp3zr54GVZR0Ddv0//fQT76BcfvnlvFNAOeoJ4vwiMUjgS1P0j64T37dPcC/s/VG3XNYH+N8GEU+ssMJhdfL0lmiYRYwJeh9hblQpsbJLB8SXVyE3LNi90jPCKAiQuFyws5lqPaKedQz4cQV8Nl6CKe0lODwbSPzUdU4saVPaAXp1qx9kJgiC+MdpEzPK/t3ce++93J+eWeuZRf/P4JlRllnQzzWeGWXZOQiCIP4qlSYRb2204KXVZji1Dd55WlmjgFeV0QKLRAYomZhm4t3lTujDBLzH64YJ+bpMOGF6Kb6ZKsWk9vUBq+HvO1DGEgH9RRZMETCzMwXCEsT5SJHwdIvbo8RncT5z3ps7cnNzsXXrVj451Z8V9ARBEG2JYI2A5yaqEa91Iqamwm9bakGu33cpRLRLUAFqGf/BuHXHKlifmIXrd631/wXxSW254nKZn6BnDIo5N+4yg2PO+58tgiCItul+83dx6NAhnn2GzcjKXHxmzZrVqIzJZOJLS0ilUgQH1w1JEwRBtCHskcF4d/Fr+CO5B46FRmHcqUOYs/MPdLvnNRToQ3mO+tVXyTAyQYIig4hCowQfp47CrDF90bVXGE52AT7a7cLrW+rz11/TU4q+TQjvd0dLsL3QibLm59o6LSxdZUIg+dITxPkKm3yKaJ7zVtSzoNTffvuN+9Q///zzTaaFnDdvHj777LMWj8PSVDK/eIIgiLbG9I4CHrjoOny56COMPnkYWcHhuGPm7cgNCEOSRsSHU6Rc0DOidAJfPrmIjWjWj2q+Nk6KW/pIsTHbha7hEgyKb9qSnqwXkHWzFIuPuXDbKhcszjP4ca4z/l/TBbi/vxS9IugHnSAIojnIp74F2EytDWd2bQgLcO3Vq1eLZQiCIFojZruIEQuc2FUEyJwOBAfIsH6mFCnBbOLZv09AP7fZjqe3N3F838w6PtFejw0EXhp+3tqgCIKoo1Bo2Wc+WmzZ5/6/Dr0lW4BNANVwEiiCIIj/Cmq5gJ3XyLC7SESVRYLh8cLfKuY9HCpvej2bv8o3w6aHC5PJQk8QBHE6SNQTBEGc5/SLYqL5nxPObK6qpogLAE5V+a9Ty4Bh8ZTthiAI4nRQGgGCIAjiH+XRfuzfxtmUJyYDUVr/lPk/Xkw/UwRB1AfKtrSc75ClniAIgvhH6RwK9JVlYo+jnXedSgrc00eKl4YBP6SLMDuASzsJiNHRDzVBEMSZQKKeIAiC+Me5RbMem235yAm7AHEBEjzQT4KOIW4Bf3NPEvIEQTTmvJ8t9TSQqCcIgiD+FS5QHMf1l1wAeXNO9gRBEMQZQ86KBEEQBEEQBNHGIUs9QRAEQRAE0eqhYNiWIUs9QRAEQRAEQbRxyFJPEARBEARBtAEoiL4lyFJPEARBEARBEG0cstQTBEEQ5wTR5oCgoJ8VgiD+HsinvmXIUk8QBEH8JZy7c2Ds/RpMygdQnfoynJtOUosSBEH8w5CoJwiCIP40ot2J6smfAfvz+HdZehEqJn0G0WilViUIgvgHIVFPEARBNIttQyaqr/gB1ZcugHX5Me/6NcftuHyuEZe9X4atqjC/fTQGMzZ8kU6tShDEOZ9RtqXlfIdEPUEQBNEkGT+dxCVvlCE+fCSGqftgw3WrkR3yJo7J/od9F/+KFTsN+DFfiYsuvRarE9v77ftGhopalSAI4h+EIpoIgiAIP0RRxI/vZOGlPU7s69iRrzPLFEgsM8IhipACmH70BFROJ+ZMHQdREPDiBWMhKtUYdvIoTumDYC6rAYwWQNtY3Asb0pG6oQCFHfXU8gRBnDEUKNsyJOoJgiAIPw6+vQt/bA/Evvho77rxxzMhE/0HuMcdz4LE5YJLIsHxsEjUqJUIcBrRs9yI33/4HLaceCi2/Z/fPuJVH2L1nlos7DUC+j1GGF85hILYZESHSTF9pAbBgazLQBAEQZwtJOoJgiAIN0t2wvLMT0g8WoKrY1LxTdLNsCsV0FlsGJhd2KiVqlVKLugZvSrKcdmBrX7bxe25EI/kQ4gMBEID4Pp1H97K0+PRG25EqMGEHseL0f6L44i1ZOJQSgxW72iHL54Kg1pJnqEEQTSGLPUtQ6KeIAiCgHNLBoQZb0AuymASwnFEGY/OJTU4mBiO55duRI+8ctQolQi01me1WdytMzqVVqJHZQmGlpyEtIEln839mDvgfwi21sAYFI7g8lpcJQvChTvyoLU5YIUMFVIdaqVqROw2YqVUgg17dZg4WEN3hCAI4iwhUU8QBEEg7YV16C2KyJElI8eRiM4ZZrydsQaH48IwNC8HeSGBuGbOdFyy+wiu3HKQ+9j3LqhC74JdsEsE7O0UDpNcCY29XvTbBQkCTXbk6OORUl4KJySwOQKghYN/Zvb4MKcRoU4jyqU69DhRAJOla/3dKKoEvlwDVBiAy4cCAzrQnSIIgmgGGuMkCII4jwJgnTan+3N2OWzXz4Wpzyt44q79KDxpRqEmBOWOUDh87D1d88pgEuTYkRKLKp0Gq7ukoFgbhGqVGg4J4JQAMpcIuzwM7w2fhnJNAN+vRBuIOdNmYuxdD+Db/v1hkUphAwuaFXjqORf/+WG2fPe/oU4DkipKkTDza2R3/QKGT3fB2eN+4InvgDd+gTjoUTi+3fQvtRxBEK0D4TTL+c1/xlL/ySef4LPPPsMvv/yCmJiYf/z8zzzzDJYtW4bdu3f/4+cmCII4HYcXZSP9lb2wV1vRR1+Adnt3Y2tyX6TFdMEKVxjeueQGOCUC3p+3DhFlBsjsThyOD8Op5DDoFCYoLU5MOJiFzSnRcEgF788nE+hWuYAfO8ShXNcBC7p0Q/+SUizo0R5WuQw9C7Ix4/A2BDnL4YIUVihhQkCjH2ABLsTZi7E5JAHdsiohv3UxlDDzTDt8uyjCfM0XKFwvIOGJnlAluTsPBEEQxH9M1P8TrF+/HhkZGbj11lv/7aoQBEGcMUXbiuGY/SMGmoz8uwxmVKnVEFGJPZFq7A0PRZzRgguKK7F9SGcUqZVYFxuGjuUFWPbt24ipreb7VSEUK2IHwyRXQO5yeY/PLPWDsgqwtEcHHAnSwaiUI8RkxKX79+GJtb8g3FzOy0ngRDiykIdUOLlcdwt7BSwIlJZgaZceyAnWIdJYgxJFJ6zqOB4x1iLceHQVaoRwWAUVCr88juIvjyLmji5o/95QOAx2FCzOgq3UisgpcQhop4X4wxZg5UGIKjWE6QOAC7tDEMiKRxBtHZpgqmUEkY3H/gdwOBxwOp1QKBR/28u7JWu85/xKpfJvOTdBEMTZUvvzMWz/PBPSgwVQmsxY2b0rdsRHomtJOq5J24BOZYXIDIrA5ZfOQU+DgAiThcvsuZ0TUK5WYstnL2JI7km/Y2YjBZviu0AU/L03f+jdCcu6p/DP8QYDtn/8JoIslrqtLqhRwUU94+3+F0F0aDH+4AkoHU6ESvIx9dqb0LswHxNOHEVmcCh+aZ+K1XEpCDZZ8MYvW6C32NyHEkVUKxWIN1aj5yAnth/UYF6PrjgeFQKt04ahhuOYumcvOpQVIsxcjs96DcPxcUORMag7gpRAn0hgUx4glwC3J9sRufgoqtMqENw/DCl3d4EsQE4PGkG0UjKFV1rcniw+ivOZ/4ylXiaT8eV8PT9BEP9NaiwuHDxhQ6xOQIzGBWuRGbpuwRAkAmw2FwoKHYiMkMHiAnIrXUiNlkKWU44NP2TjtaM6jDKI6ALgvSmTsDsyCKnFJ/DaynmQ1NlzUsvzsOnrF/Hi+HvgksrgkEi4oGf0z89qVB+51IK4mjLkBkV41xkVMmxpH+f9PuJ4hlfQp4fG42BEMhwSKTpWnsTQwj2YO6Q/9kXFQzFjLO5dtwX9CjS4/NB+3Lp7i/cYFx09iPsuvgmROeX1gp4hCNC4HCiMUqP9ujT0kxowZuVqQOpEpVqLYlUIrrvoepwIDcPQ3FMYk5mNubJ4xKzNgrqgAuOXrsMQZQCUoh0aiw0WqRw1qiDkbCnDgY/3Y3pUBuRvzAKGs1YjCIJoO8hak+/71KlTER0djU8//ZR/79evH6ZMmYJp06bh/fffx9GjR6FSqTBy5Eg88MAD0Gg0zR7XaDTi6quvhslkwnfffYewsDBvWXZ8tjz66KO49NJLz6jerG6FhYXeenn4+OOP+femrPiedatXr8bbb7+NTZs2wW63o3///njsscd4nX766Sdev4KCAkRFRWHOnDkYNWpUo/OvXLkSCxcuxPHjx/mIQEpKCq655hqMHTv2rNqfIIi2w5ebzPjpq2LEmmzcgq4wWjF+zUGERCvhen0YvlpthcHogkQm4IhSgWIA36xaCL3RgOuuuwk53UKxqnMiRh8/AZtMjnydGu/9ssor6BnsuJWaYITVGuESBFRrNQgzW1GmVmJnbDKG5p7wq9Oe9h1xKjAOeUHBiCyvhMxhw3tDe6NS4545NtJQg8uPpvHPuQFh2B5XL44PhqfiVEgEDsrDgGIjmFR/s28/PGsqx127NvudJ8pYiyv2bEV4pQGRxmrkKaJglLvf+YIIXHZsGapkUcgMTEaEtQyxNaWIqq1FuLEWxWF6mIO0WB3cA31KC3HqlWd4us0SrQ77EiORmGmDWJcngln3I+w1ePmKMbDL5ZhvHIwXr5uH7rsf5rn1CYJoPVCe+jae/ebYsWNcwHfv3h33338/Bg4ciKVLl+Ktt95qcT+tVouXX34ZtbW1ePrpp3nWB8bevXvxxRdfcOF8poKewerQu3dv/vm5557zLsnJyafdlwl11sm47bbbMH36dGzevJkfb+7cuZg/fz7vuNx1111crLOORl7e/7N3H+BRlFsfwP+zfTe9kUrovUoHaRZEmqgoivUK9noV8Oq1IOr1s3vtYgERK+C1YAELRem995pASO/Zvjvf874hIZvAAiE9/5/Pmuzs7OzsTNg9c+a8Z476PP+9997Dv//9b/mexDLE8sxms5x37ty5Z/0eiKj+OJrjwXufZyPhREAvOAOM2Ny9OQqOFOHD/xXKgF7wulW0LXLg7k0rMHTfbtw1/gYkhUfIx1w6HRZ1aI+94YFQFQVGj7vCa4nlu7Ra5AZYZKb+oqR0mF1u3D/6RqQEhZTOl2GIgrFQgU58teo1WNO9PXrl78fCr97Fi7//iDd//RabPngZuQFmOf+R0OgKr/Vp+x5wu0/W47tdKraGxvgcaJSIycrHwaA45ASYMSh/A5paU+V0h1GLA8EtsaFZe7TJO4imeWnwqkY4EI61cR2QHhoqM/rNszPx1J+LSvvnNykqxEWHkpChhCBDE4IkJVL2yg9yOpCYnSvnyQoIxvP9x0P9dfN57T8ioppW5+tFRGZ65syZMqgXxo0bJwNkkZF/+OGHfbL15XXo0EEGwK+//jpmz54tM/5PPvkkoqKi8NRTT53TeoizA2Kg7KZNmzBy5Mhzem7Xrl0xderU0vui5l8E81lZWTIoL3kPIoM/YcIEfPfdd3K9BXF2Qrz/f/zjHzLwL3H99dfLA4N3330Xo0aNkgE/ETUc6w+7EeFwVZie3iQY2aEBcGhL+sKczNBceOwIivQGbIlvWuF52SY9BhzZi+XNe2DEPt+AdUWzPjgeFgr1xNVhI1wejDmUjFSDGwta9cGQ/ckIK3TA7TSgU8pRJGZl4rvefXAIUWibfhQhdiv+uWZZ6fIKjXp8MOBC9DyUUWE9DgdV/KzaFpGAdTEtMCDlZP2+TatHUmBxic/ukGZon3cErWxHcTioCVw6DTwGHUYeWFw6vw4O2BGGLikZCC8qQnZAAPodOVzhglgGuGCCAzaY4VU0yEYgYtVcFJiKzzQIR0OikBWs4OT5XSKqC5ipr+eZehHMlwT0JUTwK7LaomTlTG644QYMGjQI77//Ph566CEZSP/nP/9BcHAwaooIwMvq1q2b/CmC8bIHJW3atJHBeXJycum0hQsXls6bm5vrcxs8eLA8wNm2bRvqiuzsbDjKXHGysLBQni0p4XQ65T4oq6Ss6XT3U1NTS8+08DW4rRrL31XHOB1yTzFOJzSnCCH5Nug8J7PdgniV7ZExsLicaJlZMZjuePQgFn32CjSwYG63K3EovBkOhSXi+46jsDWhfWlAX8KjM2J5mzZ4+KprYbIqcMNQ+liQw46YvOLMdnJYVIXX2hofjyljr8RNt1wLeMsE1aqKZjkn32+JhLxCHDIkYktQS6Saw3A4MBp/xPWCQ3viNRUFBXoLdHBDNXjRPPeYrM8v3xJTC7vsytM0L0dO2x5Tsb2xW7bVPPleXNBiRZsWSA85WWoT4SpC6IgODfLviq/BbVVVf1dU99T5TH18fHyFaSEhxaeD8/KK26ydiSi/ERn+HTt24M477ywNqmtK+bEDQUHFXx5i/EB54mCj7Ps6dOiQ/HnttdeedvnlP6xrU3h4uM/9wMBAn/uiO1FERHFZQIny26H8fTHWgK/BbdXY/q7aRmsxfEQIdn7vRKSruGRGcXnQfcsRWIzANf31mLveg5LOkgeNeqzvORAXH9mL/34/D9ffMglWQ/GA1+5HDiKgwIpApwOj9qzGb+0vwe7odvIxrdsjy3LK03tVeLUaJOTkQqv6HkAIhebizPbKFp3QNv0YDCfKepbHN8fs7n3k78fCQ2H3qgizOopLfxwujN+6H3siQpEWVJzQiM8rxNidhwCNFjf+42bcvHItEnKcPt11dF43Iu25KNSEoIk9FYNyNpzyQjPislZpAYHYHVGc4d8eG4eZvfti4ro18r4IVw4oifAqJ89yBKEA/71kBErSKzrVi4dvj4ZOL+bRNri/K74Gt1VV/V3VBmbq61hQ76/dpMi+l6ctd4q5rLPtxrl58+bSQFmU89S0072H000/1ft68803T9tdp1WrVue5hkRUFz07Lgh7LjRjxdoitAhV0EVrh/fGvgi7OAb6UCMGZbmx/6ADiU0NyPYoOJDhQdzLT6Lzmr1Yd+cHmNWpJy7fuwKHLEG4+9IbcSA0CtlmYGViE/Q+mgGtV8Xe6DBsjwlH/6M5MiNe4nBIAPoezUGLzCIkhYejeVY23JriqzaKC0GF52fhhR8/RIvsVBksFxoseLPrxeiYloNvPvwKc7t2RF6AEWGqHRbryTr+KKcdb/y8AitbxGB5h2bIjgjE/wZ0Qu+Dx7A/NgIpCTrcvuNXLI0ZCJvWDIvLhn6ZO5BtCMHtw6/BExt+kKeYy39biHVIDozE7WPGw+FU0So/H2P2bsL12/+SF7HK1wRha2QbOLNCxQkDeQAQACuU7maEeFWoGhUDmmsw5e5oRISc/nuHiKiuqvGgvqTsJT8/3yeDLU7xZGZmIiHhZFu0qpCWlobnnntODmgdOHAg5syZg3nz5vnNfJ9ObVy8JDExEStXrkR0dLTseENEjUu7GB3aXVEyWNW3bDAyQidvgvg07Rx/4iN9eEe0XRqLh6YuxrKobtDZbYgvyMdl4x7CQ1uX4Le28VjcOg46jwqbQQetx4uHflqDna0TkBQVioNhgYgpcMogPikkGK+NHImWqSnY0Ky5DJ47Hj2O5xZ/hhCnVb6c+GQ0Oj24Y/220vx5z+OpmN21Ey46uAPLEztBn39yfIAYFPvdkC44FlH8fpKiQ7G8YyLMTjvuW70IcfY0jD/yHZrc8SYsbgcUDMDRoGD5vId3BOBYUAR+a9kBvaK96LRnH+DyQHV7Edo1Aq/cGITpe5xYd9CDzfp4/BB4GRLVfLT74lJ0viQemrWHoE5bCM3xXJiv6gj982Pwk6qFVqPAbK7zFalERHUnqG/WrJn8uWbNGrRv3750umjr6C1zhcKqIDL/YmCs3W6XnXBEYL99+3bZXlJ0sjnXIFl0nCk5IKmpmvwRI0bg66+/lgNiX3nllQrZelHzVv4UGRGRrkUYEuaPw40A3ljvxVX/WgbV7sFf4d0wdPsBLOnSBq4TCenb/9yIbvuOouORI0hvlY83Bo/H4aAw7AgLkGUz8QVGpAWcHP+zpXlT/NipN27edHJwrB2BFQpiRu4/gBC7DaP2rseiuK7Qu0V+HNgTH1Ea0Jdw6HWY+9Vb6JJWPKYoIyAKPTNz8EfiyeRP74wcvHTJrUg162FpacKyuwKgMZ581fATtx9HAQU7cpE0qxDehEQk3NQSYX1O1P4Pa1N8K6P2iwqI6Gw0iKulNqSgvk+fPmjevLnsKy9KYkS2fsuWLXKwZ6hoQ1aFRC960a1GtH4sCeCff/55OXhWtIgULSVF3/uz1blzZ9mt5qWXXsKAAQNkgC0G7VZnUN2pUyfcddddcnuJ9R42bJjs3iPOaojOOCtWrMDq1aur7fWJqP67t7uCW/45GHv+SEHHo+mIaBuCy1JT0GvFAXQ5koa2x7PlfE2dR2B1mJASEIJ9QZbSWvtQZ8XSyAUde/oE9adKyYha+hKuABvSEYX4vCIoZQfPltE6s7hlZY45FKnTJ2LK+2vQI601koID0SXzOBJCHTh2w0h0bGXAqDYa6LSnP3sa1CkUnV7tfQ5biYiofqvxoF7Ukb/22mt49dVX5cWU9Ho9+vXrJwPwSZMmVdnriItAzZo1q0I/elHG8vTTT8t2kGI9nnjiibNe5vDhw2UgLS4E9fvvv8szC+LiU9WdKb/jjjtke06Rsf/qq69gs9nka4pa+ilTplTraxNR/WfUKfhmjBbHhibA4UlAy9DiYHj7q/nwvnMUnnAjlrSJw5+t+iPIqUOBRgNvmW44jlMEz7ubROPjPoMw8NAhOLSANjUEUSj0ydYXwQIj7DDBjtEHt6Ln7Q/DpTEgz2QERK963cnXSMjIxYRL78LLFwPDx7fGBRYt1AvD0f/hb+Fek4GQAQnQvH0jlObFZ0yJqDGq+TLo+kRRz3a0KRERNViHDtgxZ9J6hOcXIl+nxdMjLoRHWxx0m90edMksgO7Et4VLo8CpVzF6dxJMHi+cGgUXbDmMNmnHYYZdDkK1wwgnDAgwZSDBXtyha3tkPG4c/w/kmkwIc3ngseiQb9LB4HDjmMMrz62/19uFe26oeNEqIqJ9yqt+N0IbtXEnOjkqiIiI0KKVCe0mtJC95INdbly7YTd0JzqSif93OHAEPZOPIM2iw+6YQIzddUQG9ILBq2JXx6Yo0hpRgEDkI0gG9AUmAxZ3Ku7O5YwNg3dAZ0xbuQB98orQxmpH+8xC9DmaC12+Qwb0BrcHl0VXvOItEVFJS0t/t8auzvepr27iYgpiIK0/okSopDc+EVFDdd1d8dgcBfzy6m70O5aGbikZyDEZEG5zwB4aBLPdg4isfBht4iJPvid5RU/7zOBgxIi+9lBh1etw/6SR+M84IwzGgTD1aYb2X+xG69sWotBkwcJ2A+CFBgVuN44EmpGYm4dpR3ah5Vsjau39ExHVZ42+/OaZZ57BTz/95Hcj9ejRQ9b8ExE1BpNv3oydbj0GHs+Gzuv1aef7Xtc2+OPDD/HNwGE+V6HVeL2IOZgCl1eHPQkRmDWsO4ICNTj0iEW2ixS8VheSes9BwM5tsCAHLhhR1L0XPEYjLD1jEPrUAOhi2IuGiE5tr/Ka303TVp3cqDddo8/U33LLLbJtpD811b6SiKgumHxPHOZM3oKDISFoZndAd2Lo1fL4JmiZlgPFacCQA+uxrHVv2SFHXIyq1/696JJ0GIvbtUJhRCRi8nLx19T40oBe0Fj0SFx9E3JmbsWqn1ciu4sOV734D3k2lIjoTFhi41+jz9QTEVFFjnwndnf9Bh81bY5V7ZrhaEgAmuUX4DlPCtIXHUWc6zi6OJKRaoyAkq9DmMMGLbxwK0BWmBetdTkITHv7lJvW5XLJ7mTCbbfdxqCeiM7KHuV1v4+3Ux9p1Fuy0WfqiYioImOwAR3+vhKTH1uNnL9XQOkZjY7/6QVji+Zw5bsgKnK0RgVR+TbktX4MgY58+Tyt6kbTbEANYxkNEVUttmv0j0E9ERGdkqFpEFp8MQwtyk3XB5cpl4kMQtBdg6B9+QffmUZ041YlIqpBbGlJRETnRfufa6Fe37/0CrRq/zZQXr+JW5WIqAYxU09EROf5TaKF8tWDwBu3AFYHlJa8eBQRVT0OlPWPQT0REVWNmFBuSSKiWsKgnoiIiIjqPGbq/WNNPRERERFRPcdMPRERERHVeWxp6R8z9URERERE9RyDeiIiIiKieo5BPRER1bhsazBWHu6G6TPzsWGXg3uAiM5qoKy/W2PHoJ6IiGrU/mQ3fts5CLkpMdi9sgD/fi0D36+wcS8QEZ0HDpQlIqIa9fZ3ReickY0wmw0arxdWowGffe7FlRcmck8Q0WkxG+8fM/VERFSjHDtyEVVYCIPLDZ3Hg0C7A+0Op3MvEBGdBwb1RERUo6Ky82FwOGF0OGFwuODyAiaHE7v/yuKeICK/LS393Ro7lt8QEVGNsDpUGHRASG4RtF4VBUYDtiXEwm7QQ/GqyHglGfepQIchEdwjRETniEE9ERFVvbRc4Ku/ZfosZ/QA3L1IjyXHgSBFxc0aDfTwYFdctAzoBVWj4GBMJBZ+nsKgnoioEhjUExFRlfB4Vazb5cSxpclo8Z/P0S59HwI8Nuge/wo773wRLRw6JKblIv5IFjLjQlBoMlZYRs6eAu4NIjolDpT1j0E9ERGdN6vdi0kvZCIpwwsgEO4r70KqToHNqEGP1FS0LlChUdzwhgdifedWiM3Lg8HtgVOn9VmO2eaAx+2FVschX0RE54JBPRERVZp3+zE4X12K/ety0DcoFmOtxxFoy8fEYTchQxcEeIACSyQCXO7S52RGBAEGDRLyC3EoLBiqUnzRmLBCGyxuB5w2D8xBDOqJyBcz9f7xU7OWLFiwAL169cL69etraxWIiCrP7YH3mjdh7fIKXLM3oMXOfbh7zS+4ett6LG/SHBmmoNJZg9yeCk8XGfoQhxOd07LQPCcfbTNz0MRhh9VsBJwi209EROeCQX0dkpKSghkzZmDPnj21vSpE1NgdzYJ66XNwGW6D1XgP3Hd8AnhPBtvqm7/C8e1OqPJrROTPFLgRDCfCcPem7WhSVFg6b2a5Ehsh2GaXP3WqijC7A0F2hyjKR6HFDHNExVp7IiLyj+U3tWTkyJG47LLLoNcXd34oCeo/+ugjxMXFoV27drW1akTUwKm5VniW7YemeQS8/1sPz/t/Q7U54FVVGCMB7ajuUD9YIttMik8oBR4UfbwZ+rXPQ3dDX2i+WQb3plSoKBt8F5fQbIyJQ2pgECbs2oI3e10op2Xq9Wji8cDsVWUvaa/Xi5i8fHi0Wri1WiiqCnNOASKdLplrWvJbJi66LLKWtg4R1VXsRe8fg/paotVq5Y2IqCp48+xwrzgMXXwANN2aQnW4oO5MhdIqEkqwGe6kfGRP/ROO5UkwpKQjAAUyDFfghRta2BEEN/TQFTkQ+t4qaGCAApe82WFEJkJQsDUA5q0bEQEXskLC0CYvCUWIl0txKxrcfNV4/NS2o1wfs9NZvGIqYIGK40YjdF4VXgXwKgpMMU3QJicPqgIUmC3oufsodG43jjWNxOanN6NN34uREMKTyUREZ0tRVZUHPlXM5XLhyy+/xKJFi3DkyBHodDokJiZi9OjRuO6660pr6qdPn44PPvhA1taLshuRpS9PPGfIkCGYOnUqnnjiCVx11VUV5pkwYQLy8/PlMjUafgkSNTb5b6yGMvlLmNUied+lMSDNGysLY0xwQGcEChxmeGTevZgRNoQhW2a+8hECFVo5LRiZJ3LuxdIRjRxEyd890MAilgcvRM49GGkIRSo8sCApJBSPXjwW37XrUfpcjdeLvjmFyAw0IcDhW1cfZ7Wj6YkSnOaHU9F+71H5u9WiR0ZMMGZd2AVdh0Rg1pUGaDVl14iIGquNyrt+H++h3ofGjJn6agjo77//fmzYsAH9+/eXZTaixGb//v1YsmRJaVBf3sUXXwy3241Zs2bJwP2CCy6Q0xMSEtCxY0dERkbihx9+qBDU79y5E/v27cMdd9zBgJ6oEXIn5cH5yP8QiuKAXtB7nQhHJtwIKJ7gAAJgRQGCTtTAi0kmGaR7ZIiugQYqTCjyCejd0MENI2KQBA3csCIcLpjlY6KGvgAxMMMKCwrQOs+G/333AZ4cNBb/uXCUnEdm5DUKtF5xEFBSoAME2B0YuH0PVJ0eFqsN0en5pa9ptrqgd3pw2Y5DeKVpEwxd68TEfqyxJyI6Ewb1VUxk6EVAP3HiRNx7770+j4k60tNp06YN8vLyZFDftWtXeTBQ1pgxY+Rj4uCgdevWpdNFoC+y81dccUVVvxUiqges/9sDg4jayzHCfjKol5XqKgxwymC+RBECYcXJLjUiyI9Gkgy+CxGMfAQjFrugR3EpTShSkI42sCG09DkOBMigXjw3Bc1x3d/H0WvHd5gxsBv+7NgC4ZnZiLXZoXoUuEwmRFmL0OFYGkxlWly69BqYy2XyE7KLL0L16+pCBvVEdALP2vnDWo0qtnDhQgQGBmLSpEkVN/Z5lMaIDL14vgjiS9jtdlni06dPH8TGxqIuyM7OhsNxMsAoLCxEQcHJK0Q6nU5kZWX5POf48eN+76empqJslRhfg9uKf1cn5Vs8cMFQ4d+iyMCXp5QZZmaAHdYyQb/89wkT7LLAxoR8BCECyaUBfcnzQ1FcJlNCj+ISmhS0QDZi4IUOLbLz8MKCv3DN1r345/crcd8vG3D/og14+IcVuHzdXp+AXtB5Tq6XzaKHV6fB8dBAeb+V0yZ/cp/zM5HfH3Xre5DqHtbUV7ELL7xQZtJnz57td77yNfWC6Fl/9913Y9q0aTIzX94DDzwgy23EgYMo6fn555/lvC+++CIuvfTSqn4rRFQPqF4Vx0JeRHhhcmnGXpTN5CESepQ9O6jCAy+c0MssvrhlILHC8gKRBxVeBCEVBlhlAU75g4VkFNfNi644TbFDngXYhj4yoPcoCuZ1aYNVzWJRZDbgPz+sQqBDdLU5aX9iGBzG4oMOu9EAvUeB1uHGko6JsCgedDmWibcv6QGd24M/bzMhvsvJMwNE1HhtVN7z+3gP1bdCorFh+U09IrL1q1atwtKlSzFs2DCZtQ8NDZUDaYmocVI0CmK23YOs0V8AO49Bo7pk6YwbBlhglyU3Ghlu2xGKTBmWi47yIh+Xi6jSGvliot+8CP51MMBWIaAXChFW2lhO1OenozmCkQGtPGTQ4cWhvTCva1v5eKTVXiGgF3bEx8Bo0UPVaGCzmIATV5RddEFLBFltaJOahRsOHMId9yQwoCcin08oOj0G9VWsWbNmsuONOGVlNJ7b4C7lxBfb6QwePBgREREymG/fvj02bdqEG264wafXPRE1PrrmoYjefrLrQ3GvGl/u5YdgnfgVNPuSIbrpKh4VEdpMZHsi4YRZtrYUtfFGWGGCFzYEIQjZPstwwCKz++IMQMlFp9wwIwntYYMJTr0G33VqVTyzRkFmsAVHwoPQ7ER9vCDOHaxtEY8ElxPRLt+AX2T5LS4PTBYd/vVtn6reTEREDRpr6qvY5ZdfLuvOPvnkkwqPnal7qMVikT9Fe8pTEa0xxYDYtWvXyhaYYnlXXnllFa05ETVkuoEtELj33zC734XR/T707vdgcb+D2LW3Ie6h1oi4vAn0XZpAM6ITzO9cCUOEDq4TF5cqbnsZDnt0CyReqkP0cDP+7BiPIQ/dhsUd4uE22WQGLVdvhKdk7JBoQ6lRMOWaIdgRFyEnWQ06fDm4G1LDgmDMKoLJdrJe/0BYIPJNevQ9kobmw0XveyIiX+oZbo0dM/VVTPSM//vvvzFz5kzs2rULffv2lRn7gwcPygz+e++dvh6sRYsWMrCfP38+zGYzAgICEB8fj86dO5fOI4L4Tz/9VNbViy454jlERGdL0Wp8fmp7N5O3kz1xiunuuwTO5QeR+c46OAsUBIzvhJBbO5U+fs0by6F/aynm9uqNZfGFuPOPTbIXfd+kVKxuFgvotIBBixRTKO6ceDlaZxXA4lHh1Bd/7SRk5iE+vwBZUYHIN+qwNzECt67fg6g8K6yDTnb4IiKis8OgvoqJUph33nkHn3/+uexMI4J4g8EgLz51qsGvZZlMJjz//PN4//338corr8ie9+LiU2WDehHkiwOF1atXM0tPRNXKMLAlIge2POVjwff2wxWfrseg+Qfhgh4bEmJhLlAwZfFWfDDQgz96lgnMFQUHw4PQOtcqTw83S8vBwF1HkBkZjC3N46B4vbhu4wEkhQZgffMYDA3gSWQiqog19f6x+0099M9//lPW04tsvcjoExHVBtXrhWfhbth/O4BtVhNeTovEoL0pOBIWhLcuLe7qVdYjC9ejdVouOiWnQ6MCa3u1xsEW0aWPewoKobWYMXpqM1ze72T/fCIiYZ3ygd8N0Vu9u1FvKGbq65nk5GSsXLkS48aNY0BPRLVK0WigG9kRgSM7or+4+N57q/DDrmwkaQNExghqmcH/eq8XbbIL0DE5XV5pdm+bWBxs3sRneQYxgtej4oLwWngzRET1HDP19cT27dtx6NAhfP311zh8+DDmzp0rS3GIiOoS1e2Bt9CJV7ZqMW2xG04vYFZUXJCejxiHCzqnG381CcFVSakVLsinut1oklWAacsG1Nr6E1HdtfYMmfo+zNRTfSAGz4qLTYlA/rnnnmNAT0R1kqLTQhtqxmODgXv76HEwR0WHKAWr1gILlxXCZDLC9WcKXBYdjKIj2Ilsvt7mhMbjRYfjGbX9FoiI6iVm6omIqEa9M2AJdiTE+kzTqir6r9iJfve2Rqsnu3GPEFEFq5UZfrdKP/WuRr3VWFNPREQ1qjA+tDRDX8IDoNU1zdDyia7cG0RElcC+YUREVKNCFfcpp/d8tccZr6xNRESnxqCeiIhqVK8eJujcIjd/UqLbCr2BX0lE5L9Pvb9bY8dPUCIiqlEd72yFC5J2oUl6DoLyrWh9PB23P9mMe4GI6Dywpp6IiGqUPkgP96QsNN+fi4v7XYS44Z3lNCIif1RuHr8Y1BMRUc3TAK62HsSNbQq9ngE9EdH5YlBPRERERHUe6+b9Y009EREREVE9x6CeiIiIiKieY/kNEREREdV5LL/xj5l6IiIiIqJ6jkE9ERHVCtWuwG3zvQgVEdFpPzPOcGvsWH5DREQ1ypHvQuovcdjoicey33fg1oEWXPZoeygKrwhJRFRZzNQTEVGNOf53KuYN/h3NN9pw+c4jiMi24qXVHvz9dTL3AhGdsabe362xY6aeiIiqXWqqE1+8fxy71+egqG1rNMvKQ2xWHnTBFjjDQ/DG93kYPIE7goioshjUExFRtfpjmx2fvXQUKSYTIgItaJeTCwQYkGmJRGJ6LopCAnHAFABVVVmCQ0RUSSy/ISKiamHbmY1F965AxvXzkaM3wGxzoltqBqA98dWjKMhpEoLQvCJEer1w2r3cE0R0Wiy/8Y9BPRERVbn0t7fh+UmbYZm/GoXaQNh0WvTYdxR2i/EUX0QqNF4VqQes3BNERJXEoJ6IiKqUp8iFGV+mYfDWQ3BkRKLAGQAtAEuREwaHq8L8BQEm2N1eBIWzIpSITo8tLf1jUE9ERFXKddyKpsczobUWB+mBRQ7Zl2Jvyxi03ZUCxXuyzCbmWDai0/MQm5aNY2nsWU9EVFlMixARUZXILPRg39S/EP71NjS1m6DCCFUBLHBi2NZdsBv02N4qBh03JsFr1CK4wIrgfCt2N4+FJyEM77+QhB6XReD2O6K5R4iIzhGDeiIiqhyvF+qOoyhK82J+YSDenZsJrzcBXTqbcOea9bDCgJx4C7JjAqH3eqG3OxCoOmAP0KHNkQy5CA8UBNldOBwTDlXRYOvP6Tg4MAAtOwRyrxCRD/ai94/lN7Vk/fr16NWrFxYsWFBbq0BEVHlr9yEz/N/Y0vUH7LrsV0xfYMX6hDiEOuyItRdh9sBu0JrsyAkP8HmauGisUS0usxFFOB5ocCwxAj32H8WYvzahzb5kLPzkKPcMEdE5Yqa+npoxYwbatWuHoUOH1vaqEFED5151CN65G6AEGqC7tR+UVlFIu2Q2sgujEIVsaFUPnl/6J5JMERi183CZZ6rQuz1wGPQ+y9O4vbBqdci1mGBxudB2ZzLsJh0cRg2aZOfj6OJk5OW2Rkgov6KIqOwnCvnDT8x66qOPPsLo0aMZ1BNR1dpyqPibs3sLqJsOwnrV+1CO5MADszy5q3n+NzhbR0ItdCAceaUXZr/k4GGkIV/k4sssTEHz1ExsbxFfnKIXXzpuN2Iy86DzqPA4nXAadPBoFWjhhcmpoCjQgACHHU89uAdvfdaJe5eI6CwxqCciqu/cHqDQDgSZgHwbEOanHj0tF5jxGzBvpayJx5heQEY+1B/WAdmFcKk6WBEMEwrghglWhMCEkNKne6CDYX8K7Ajzqd8Uta7iv/JE5j29Y2sUBphh1+uQFhSA1seTEJ+eCY83HFZ9KLxaBXazAQWhAfJ4wmhzoNm+VKwal4qOD3RAyNC4qt5iRFQPsabePwb1dYTX68WsWbOwevVqJCUlIS8vDxERERg4cCDuuecehIaGltbi33333fL3n376Sd6E2NhY1ucTNUYf/w48/gWQmQ/otYDLA1zQApjzENAp8eR8B1KBCa8D6/b7Pn/nURlIi3A8F1FIQWu4YYQJhYjHbrgRJK4N6/MU0dVG5NbLEpl2Ldwy6C8hauaPB4XgypXb5P11bZrhr44tkaaPREFECMweBwI8VqQHhSOlWWRpNr8g1AKDzY5tu51QLlqA1nOHIfLaltWw8YiIGg4G9XWEy+XC559/jksvvVSW1JhMJuzYsQM//PADNm/eLB/T6/Vo0aIFnn32WTz99NO44IILcNVVV8nnWyyW2n4LRFTTth0B7vwAUE9UmoqAXth0CLjuNWD7myfnvem/FQP6E0Qo7YIBSehQ2j/BjkAcQHdEIEeG6yfzZF54oYEDFhjhkleDLaGFBy7ooUCVc+YYTYguKCp9vN+ewwjPKYLuRJ/6Ip0JLpMGeaFmBOQWygy9V6uBNTgAboMBVkWBV6cgecoqBvVERGfAoL6OMBgM+PXXX2UwX2LcuHHo2rUrnn/+eSxduhTDhg2T2fuRI0fKoD4+Pl7+TkSN1KJNJwP68nYkA0kZQGIUkFcErN7rd1GFCKvQEE2FVvaYP1knL8J1wA2dLLVxQl+aoc9DIArhW/Zjdrt97jt0utKA3mHSIatJEFRN8WtqnS5oPF5oPV4EZ+YhNypEvrXckAAYsuznumWIqAFi+Y1/bGlZRyiKUhrQezweFBQUIDc3F71795bTtm/fjvogOzsbDoej9H5hYaF8LyWcTieysrJ8nnP8+HG/91NTU6GWCVz4GtxW/Ls6oYWfizQFW4DI4OJt5XUBTU7WxZ+KARUD5xAUVKiSV6FBNiLghgY6OBGFQ4jBPgQiu8Lz881Gn/sioC/5l5wVeTKgFzwGPTz64jyTeE1TkR06twqz3QlT+1Du8zL4mXj6z0B+f9Tcdy3VPYpadg9SjSmpjZ82bRrGjBkjp/3++++yzGbPnj1wl8twiXnEvCVEj3vR/eaZZ57hXiNqzANkh00Hlp7ioP/NScCDo07en/UnMOm902f2AexFT9hlDX2xaCTDWCF7D+QgCHYEIEq/H1Gu4mBelN3sRnc4ZJccwKbT4v/GDMC/Fq5CiK04MHBpNMg0B+BwdChc4cXzlWU1mWC02hGSWwCvosDsAdqnZ6PDuqth6RheiQ1ERA3Jb8psv49fpt6KxozlN3XEn3/+iccffxydOnXClClTEB0dLUtyxADaBx54wOfomYhI0mmB36cBP60HDqQBAUbA6gAu6QJ0a+G7kW67BOjXDvj6b2Dx9uJ6/DwrEBEItIyGuusYWhduQDI6IR8RMnzPRzgikeuTrRenv0VWP0dvRqgnt3S6Hi50xAZkIwoF2mCkhxhhVhyYfMNI9DmYjITMfAzZdhjBRU4s69gMcU47mmeLFpgnOUxGFIQEQe90IbDAhv53tUTinSOhizhZlkhERKfGoL6OEPX0RqNRXlSqbF394cNlL+RCRHSKwP7Kvme3WTokANMnANNP3Lc7AaNedp1RvF4oX/6NZn9uhdouHrhzOFx5TuR0fxv6fGuZelYVpiAFRk8BdobGolvGsdLFi/r6UOQj2OOATYlFQWgT2Aw6GFUX+icflPn9QphRYDHim27NMWn5VkQW2WX232oxw2k0yOUUBAfC068pWj7elbubiEqpmoptc+kk1tTXEZoTtaUiM19CZOc/+eSTU84vut3k5/tmuYiIzonJUNpGEuIz6KYhwKwHoDx2NZTwABhahKFJ6uPQj2oLxayFNtKIoE/HITL/OURd2wMfdL4YRbriQFzIMAXBi+L7S1t3gUhPTFn8F/659G+0zM1GCKyIQi4u2noIKaGBeH5kf+yLj0ZmZAQKg04OsnUEmXDf+124M4mIzgEz9XXEJZdcgsWLF8s6+1GjRsma+mXLlsFuP3XXh86dO2Pt2rX47LPPZKmO2WzG4MGDa3y9iahhU8x6BP00scL06E+vwF1X/IDbLrkTgWoeFK8W/9i4GX3sxWcXdV4PAm02DN3r20bTAA8u2n0Q9yxcj/n9O+DvFjEYuS+ltMTH4HBi/N0x0OmYkSOihmv37t2YPn267G4oBjWL6xT16NFDThPx3EUXXXTOy2RQX0cMHz4cVqsVX375Jd58800EBQXJnXr//ffLgL+8Rx99FC+99BI+/vhj+Txx8SkG9URUk7r/OBafrTgK20/74fYoSF1hgQcaWYZzyd4tWJ/QDppTjAcS/eyH7DyMfvuPyvs2kwF5YcEIyylCj/wD6DDuQe5IIqpAbSDH+ps3b8agQYNkrCeuTTR37lyfLkMffPBBpYJ6dr8hIqIqIUoGc55bDmXGUniP5+JgWDw8HgNi806WCnoUBUtatYe+5EJZJ4jCwz7ZO9Bh231QxNVliYjKWaj7zO82udx9S73YZpdffrlsDyq6HoqmKOImuiKKTP28efPwr3/9CwcPHjzn5bKmnoiIqux6G+FPD0LAb3cjX41CZLYDf3TpiuxgMzTwQA8HMkNN8JbpT1/2y8i25TEG9ETkd6Csv1t9sWLFCllxIcZHis/NskRJtbhmQGUwqCcioiqlGEsqOxXsTYzFW6NGYn/zCAQq+YixZ8Gjq/jVYzUaEBmq554gokZxVtNgONlkoKycnBzZDbEyWFNPRERVSt86DMae0XBsSEOT3HykRIbjo8EjMMszDB5Fg2yjDpet34Xw3EI5QNZqMmBzh5a4RStKcphrIqKGrWvXrvjuu+8wYsSICo8tXLgQPXv2rNRyGdQTEVGVi/5jAnKf+RtjVh3EzNBguHQ6uLU6OFUVByODsK5bOxgdThidbuQHmhFgdUDJtAHBzNYT0ampDeSY/6GHHsINN9yAgIAA3HzzzXJaUlKS7II4c+ZMzJ8/v1LL5UBZIiKqVvkFHnzS70+E5NkRnFOEGVf0gjnAiMAyg2X7rduDB7YPh1KP6mKJqGb9Yprj9/GR9uIAuT544YUX8Mwzz8Dj8chyHFFbr9PpZEvLxx57rFLLZFBPRETVbvs+K5YP+wMFJiNMRg0yYkPgULQIzi5Cy8MZCIg34oqNo7kniOi0fg743O/WGVV0U73aekePHsWiRYuQlpaGyMhI2d68WbNmlV4eg3oiIqoxC+Ycw4r/7kH3oxkIzbfDrdPAqwL9vx6KqNFNuSeIqNEE9VWNNfVERFRjxtwcj8RF+3F8sx0egwZ6mxfRoxMY0BPRGXkbSHleUlLSGedJTEw85+UyqCciohrVYWZ/bIncC0OSBpc8cDmiLornHiCiRqN58+YV+tOXJ2rtzxWDeiIiqlHiy8zeUYW9owehA5tw6xNRozJz5swKQX1mZiZ+/PFHWWf/5JNPVmq5DOqJiIiIqM5rKC0t//GPf5xy+uTJk3HttdciOTm5UsttIJuHiIiIiKj+B/wff/xxpZ7LTD0RERER1XlqAxko64/b7UZubi4qg0E9EREREVEtcrlc2Lp1K6ZNm4Zu3bpVahkM6omIiIiIaohGozlt95uwsDB5QarKYFBPRETVynW8CNlz9sBrdyP8hrbQNAvgFieic6Y2kOqbp59+ukJQbzKZZKvLkSNHIigoqFLLZVBPRETVxnEgD9u6fY0cgwkejYKQ5zfA+9AFMIe7ELXPDk+Xo9D3b8E9QESNxjPPPFMty2VQT0RE1WJXloojl/4Ae4wZRRYTjgdHQe/yIOB/x3DhwUJYYcHeWd8jdnQ0ohbcwL1ARGjsA2XPB4N6IiKqctk2FW/fsww3F6TCpJjRKj0JI63LkWRuigIEYUm7zjjaJAxxGXno+ksyAr7bBctVHbgniKhBevbZZ896XlGa89RTT53zayiqqqrn/CwiIiI/PlxlRfh136BAF1w6LSM8BLvaN4fq9SLTbIZbU3yplDZJaZgceAzNvx3DbUpEp/Vt1Fd+t864jAl1enDsuQT1Ho/nnF+DmXoiIqpSbyyzY/frm9HvREDv0WrgMugRnlsA1eVBZqAFbkWBpcgOjapiX2I0jugdaM79QEQNlNfrrfbX4BVliYioykz/oQiP/OSA3lpc+1oYEoC0xGhkx0YgPbEJLt21FX0P7IVHo0FBoBkhRXYM2HgAq/q05V4gIjoPDOqJiKjKfLysEC3cefh4UDcUmI3IDw+G1uOB0WaHzuXG4ag43LF8Ma7ZsFrOnxQdhk77jsFrdXEvENEZB8r6uzV2LL8hIqIq4XKruOTwVszuMxQRVjscASbonS6YbfbSeTJNQbj4oXuRFB4Koxtol14Ap0kH/R9HgHtjuCeIqFH466+/8NZbb2HXrl2w2WwVauoPHDhwzstkpp6IiKqE/kga1jZth75H03HP6l2ILsyCqUxA79Yo+HBQV+yKjUaR0YjsACM2xYchPTgAB4o0KFyTyj1BRH4vPuXvVl8sX74cl1xyCfLy8mRQ3759e8THxyMpKQk6nQ6DBw+u1HIZ1NeA9evXo1evXliwYME5PzclJUU+d8aMGdWybkREVUF1e+B97We0z0jB8H2H8Y8N3+CG3d+LFmul8xyMDEWexeTzPLtBi/8N7YxbNq3CzBtXY+eF38GT7+ROIaIGa9q0abjtttuwcOFCef/555/H33//jY0bN6KwsBBXX311pZbL8hsiIqo09UAabDd8CPPavSjS6zE5Nh0uvQ6tspPl44n5R5EU0lT+HuA4dd28zWRCi5xUdMpIQtEBC5JvN6L53JHcK0Tk+3mj1KN0vB/bt2/HlClTZJmNUNK+smvXrrI/vehpP2bMubf4ZVBfA3r06IEVK1bIUypERPXSzmQgIx9qr1bA+iNQf92Awk/+hiWzCCaoUKEgwOVCckQ8Bh9YU/q0YYf/wuJmA3E4JBExBVa0Ss/FgSahpY9HFdhxQXIyzG5X8TJghTJ/FQAG9UTUMFmtVgQGBsre9UajEZmZmaWPiVKcnTt3Vmq5jDJrQMlOIyKqd9weqIOnAasOyKBbhaG0cjMAxX2X18a3woxeg1CoN8FpCkWLrCOIy8+Qj1ncdow+8AeWtuqPZa0vxD2LN+Cnrm2xLzYCgQ43uiWn4ba/ViEfoVDghRk2mFU7Cq74EDiSC22AEdorO8PwwCAoZgPUrCLArIdiEetBRFT/JCYmIi0tTf7esWNH/PzzzxgxYoS8v2zZMkRERFRquQzqa6im/u6775Y1VCWnU+x2O2bOnInff/8dqampCAgIQO/eveV8zZo1O+VyRO3Vp59+KgdShIWFyWXdfvvtPANARGfH5gC+Xg4czgBG9gD6nuwNrxbagXd/B+auBtJzAaMCXNYF+HETcMwqhsFClcF82aFYGhwIi8TgiVPg0p74OlFV6NVx+PB/RxBuy5eTDofFYl7ngRixah9yzXpMWLkFHZOOQ2fwIC4vDyUn1L3QoAgWWGAFFuyBFirESWnXqiTYnv4DmiYBUJKzoOi10D84CMZXx3LPEzUi3oZRfYOhQ4di6dKluOaaa3DHHXfg3nvvlQNmRQL4t99+w+TJkyu1XAb1tcDtduPBBx+UAyIuuugiTJgwAcePH8e8efOwatUqzJo1Cy1atPB5jhhA8dVXX+Haa6+VR3CiFdLHH38sB9KK2isiIr9EPfugJ4ENJ9qkPTsXePcO4N4RUAtsQPcngYPF2XVADG51QHl/EVSYAWhPTK/4jXowLOpkQC9nUbA4IR73jnsU3VL240hIED66oBeCHC7cumA9Yr0qikw6RNhtCCzXxk0cLhTCjADY4IQBZjjggRZe8VXlALzJRVCgh97lguu1pdBckAD9jT2544moXpk+fTqys7Pl7yKZK8pxvvjiC1lj/+STT+KJJ56o1HIZ1NeCn376SQb0IpgvezQ2ZMgQmXl/9dVX8e677/o8Z+/evfjss89krZVw3XXXYerUqfjll1/kKOnu3bvX+Psgonrkf6tPBvQlpn0D3HUZ8PnKMgF9SfAuylvc5RaiVgjs90RGV3ipMKsdA3YcxC8dWmFRx+Yy0M+zaPFz9zYYu3EvAu0uuGQe3ndpbkWDo4GhCCvIQz6CYUIavKUHFCVrIIJ8NzRQ4fxgFYN6okakoVxgKjIyUt5KPPLII/J2vtjSshYsWbJEHo1NmjTJZ7oIzEUJzrp162RLo7L69u1bGtAL4vm33HKL/F2cwqkrxJGnw+EovS/eR0FBQel9p9OJrKwsn+eIsxT+7ovyJLVMWzy+BrcV/64q8e/jqO+/OykzH7C7ULg76RT/mku+PE8G9qLmvTiwL+FF89yTA7xK9Es6Lr9cRu46hLbJJx//4NILkBuol2G5qM63wVC6NDHlYFAkci0BOKqPhFvmnMQ6nOpLvHiaSym7LvwsqbDPT+DnLr8/quPfB1XeO++8g5ycHFQ1RS27B6lGaupFDZX4h7Fo0aIK87722muyzEbc2rRpI8trrrjiigpZ/ZJ/YKIuS9xEdp+I6LR2HQU6/xPwFg9ulS7tCvz+DNS1B4B+033jdbihwH5ikr70xK4K54nftTIwB1z4oks/vNF/FDIs4RhwOAUDj5wMFsKPF+C/Yy9EocmIALsTlsICRDhsaFlQgP77jgJ2FfG5aWhlP4ogrxVZ+hAka+LQxJGPcGTDK1+7bGCvQg+HHLRr/uMe6C9pw51O1Eh8lTDX7+MTjo5HfWqgIuK7iRMn4rLLLittb3ley62StaNz4u846nSP+dvZVfGHQEQNXIcE4It/As2ixDdK8UDZ2Q/Kh5Q+rYAPbwNkRxnxGSSGp9qh6rRQZecuFxTY5E0DDxQZVHvhlfO6ceO25Vg451VMXbbeJ6BXvCosVhc6JWci2OmGVqNBsEaH9jYPXAFh+OuCrthwQRt0sh+QAb0Q4cpDB8cBBCMf7tJMfvGBiKIVobwXnrBg6N8fz4CeqJFpKFeU3bVrlxxbKdqdjxw5Ek2bNpV19Pv27Tuv5TKorwUJCQnytFZubm6Fxw4ePCiP4GJjY32mHzp06JTzCuLSwkREZ3T9QODwDMA1F/j5SSAuvPQh5faLoBR9DLg/BdyfQXHNheKaB81XD8k8edl0Q6HOAo0M9L1IMSYiTxuLMJuKiw6th8ZTHICLnxFphdB4VXTOSEfztHQcUxTRhR5WcaBwIhnRNi0Jem/xhVdKGOHEp0/fiGnXjsSmxGgY9G5YnrsIYe4XEep5EaHZ02G+ux93OBHVS+3atcNLL70kuxkuWLAAAwYMwOuvvy7LrAcNGiQbplQGB8rWAtHxRhydifaU//znP0unb926VdbTi/p5cVGCstasWYPdu3eX1tWLjL4YOCuI8hsiorMmMvWnoWh9B6biqn7A949BeetnQATsU8ei8MLuWDh5AZr/8jdSzJFI1rZHjCMfVp0JUcdyoaga6F0eiJL3w22awBZkxvhlO3Fr7iZ5cJAWF4ZtPZrDo9Mi3+z7WVdSXz/5kTZAgAHe3a2haRoKJUR04QEUP+tORA1bQ7mibAmRxBWZenETid4vv/wSL774omxzedttt+FcMaivBaNHj5Zdaz7//HNZMy8Gx5a0tBT96k/Vn1TU14u6fNHSUoyYFhcnWLt2rfxDYOcbIqpWY/sU304Q5xGv/eQqHM0di9XbnPhhowO2tam4fO8+bGsfgO7JhYjwalEYZIQ10IL2e45CdZ8c9hqbkgObxYA9nZviQFQ89jVJQJv0o6XLz01sAcuJIF7b2fesJRFRQ5Ofn4+5c+dizpw5OHr0KCwWS6WWw6C+Fuh0Orz11lv45JNP5MWnRM95EcwPHDgQd911F5o3b17hOYMHD5YXpRLZ/SNHjiA8PFy2vxQ3IqLakBCqwQODTPIGhGDRfUfxrKk7Ouf+jGxtHDwGE7xaDXZ2Kr6gnsjit9yVKn9vkporg3qtx4MNke1gTveKInzYlAC0/F9xZy8iooZ48akSf/75pyy1+e6772Cz2WSlxowZM3D99dejMhjU1wDviW4T2jKntU0mE+677z558ycuLk52zylx+eWXV+OaEhFV3pALg9B2aQHMhliM3f4Lvup5TWntvJARH4qolDwE5dlg0yrosmWPDOo7ZyTjsavH4sagQlz2YGsE9IjibiCiBmvatGmYPXs2kpOTER0djfvvv1+W25RtXV4ZDOprQEZG8UVdRHadiKihMl3bA2NmrUGBOQSL2wwWBfAV5rEGGqG1ubDtguZwB5kRmleAtplpiG4SgKve71Ir601EVJNE3bwoxRb96keMGOGT9D0fDOqrkbjIkrjQlOg5L8prunThFxYRNWB6HTRxwUC6AykhscjXaxHm8r0q7ZqmETB3ToRqLP76yQ0Nxm99euEyMy9qQ0SNY6DssWPHfK4oW1XYRqAaiTaUb7zxBsxms2xVJAJ7IqKG7Kq7EmWHG6+i4PumscjXFQfviteLrnsO4/4V63DZhm2y7KZEQXAA3AFVk6kiIqrrqiOgF3hFWSIiqlL71udhxptH8bMlFHuDA/HCouUYvusgDO6TgfyqLm2xo3Wi/N2pUeAd3xzvjWfig4hOb3aL+X43z62HrmnUm4+ZeiIiqlJteoVANywBPfOLkGh34IKk4z4BvRCVk1f6+7r4CMRUroMbERGdwKCeiIiq3LV9TTgQHIg4hx07mkVXeNxqNgDuQszr1BQHwgMxoQV3AhH5J8r6/N0aOwb1RERU5Xq2M2LkhRakBlnw+sgBSAoPLn3sSFQoohzH8GfrZmiaV4Q7jx1D645M1RMRnQ/W1BMRUbV5dakDU9drofF6ccHh4ygyGjAowIa4tCNw5gWgQ49IjJmUgNAoA/cCEfk1q+W3fh+/7eC4ercFxUWnsrOzZb96cXHS88FMPRERVZvJQwx4vBdg0QLbW8ai/4VheP2JpojrvQ/NL92M6yc3ZUBPRGdFVfzf6hPR8rx///4ICgpCs2bNsHXrVjldXJT0f//7X6WWyaCeiIiqjaIoeGGoDnmP6FH4iB4zrzHhRIt6IqJGafHixbjssstgt9sxZcoUeL1en3aXn376aaWWy6CeiIiqnUZRoNPUs1QaEdW5i0/5u9UXTz/9NEaOHIlNmzbh+eef93msW7du2Lx5c6WWy3wJEREREVENEcH8vHnzSs9mlhUVFYX09PRKLZeZeiIiIiKiGiIGxLpcrlM+JgJ6UWdfGQzqiYiIiKjOayjlN71798acOXNO+dj8+fPlANrKYPkNEREREVENeeyxxzB8+HBcddVVuOWWW2QJzpo1azBz5kwZ1IvOOJXBoJ6IiIiI6rz61rbydC699FLMnj0b//znP/HDDz+UtrIMDQ2VnW8GDhyIymBQT0RENSY7y42v/puEwsVt4QoDtve04oKeIdwDRNQoeDweHDhwAKNHj8a4ceOwcuVKpKWlyVaWF154IQICAiq9bAb1RERUY+bdvwm95m6A1qvK+4c3pqHZlqsQzivKEtEZqA2gLa6qqujYsSMWLFiAESNG4JJLLqmyZXOgLBER1Yi8XDda/7SjNKAXmh7PxubXdnEPEFGj6XwTExPjc8GpqsKgnoiIaoTqciOk0FZheuGmLO4BImo0rr/+enz22WdVvlyW3xARUbU7tjgFq57egqAACwxeD6wBRoTlFcHg8qCw0Mk9QERnVJ/aVvrTvXt3fPPNN7j44otx9dVXIzY2tsJFqMT0c8WgnoiIqlX6+kz8cdtKhGfZ4Va1cCtapAcHY1O3lui84wgcuae+CAsRUUN0yy23yJ/Hjh3D0qVLKzwuAnwxoPZcMagnIqJqY3OpmHf7aiTkOODWa+DSa6D1qIhKzUN2VBB2tW+KuKQM7gEiahQDZYXK9qE/Ewb1RERUbZ566yi6ZdvhMGlhCzj5lWM3axGZkYes6GAY3OeekSIiqq+GDBlSLctlUE9ERFXG61Xxxt9OzF9diGCzBo+88Cvm9eqO5R0TofN4MWzrAYxetxfBVgc8Oi2Uw8eRHhbEPUBEZ9ZAauqrC4N6IiKqMv/30VHEvrEQH6Qew9EgCz4bfDG+vLB76ePNMnIRZrXL37Vud/FPVcXxmbsQO7ED9wQRNXgXX3yx38dFTf2ff/55zstlS8s65s4778SYMWNqezWIiM6Ka00yil5ZDsfCffAW2HHLAzMwds8hJOQ50e9oLja2jC2d12R34q5FGyosw23QYvWcY9ziRNQoeL1eeRGqsreMjAwsX74ce/fulfcrg5l6IiKqlNybv0bWvJ3IDDIg1OqGJcgMi8sLA/JgRrYY1obb1v2Bx0ZPQEiRA+++uxAmtfiCK3lmI5KjwpCQlQuPVotNugBcxf1ARI1goOzSU3S8EURAP3bsWEybNq1Sy2VQX8e8++67lT5CIyKqLp4MK9wKkKoxIU7vwvavd8K9aAO6O9KR4LBAfGo5rUaRg0IQjpc+79G/f0BGcBBseXEoighAkTEAO+OaYN7A7vBoNdB4vOicmoFBB7cA6M8dSESNVtu2bTF16lQ8+uijWLNmzTk/n0F9HaPX62t7FYiISjnXJiNt+DdYHBKLx4YPxdi9u/DkX3+is/cYdHBAgRse2FGEaGjggdNgBcpdS+qWNUuxIHIMHGY9MqOC8FurZvBqiqs/vVoNtsVF4eJDTqgeLxQtq0KJqGFffMqf5s2bY/v27agMBvU1qFevXqd9rEePHvjwww9lTf3x48exYMGC0sdKpr3//vt4/fXXsWHDBpnNF8t7+OGH0bRp0xp6B0TUWKhZBfB0fBKa9BxEIABX5ybjyg/XwwU9wnEcGpmbF0kIHbRwwIRsZCmtYNPrEe7M8VmWyenFsTAdrt+wAkcyQ7GwTQvf11I02JDQEav/sQNPzeiMCEvD/+ImIjqVb7/9FnFxcagMBvU16Nlnn60wbevWrZg/fz4iIiL8Ptdms+Huu+9Gp06dcP/99yMpKUk+b8eOHfj8888RFRVVjWtORI2Nd9D/QZueDRdMMnjXQoUWHuhhPxHQlxABuB4GWKFRPUhVEpGIZOhQ3HveDS2OalrhkY1LEe60w5jhgNHlgqPMWUmtx4OeW45B5/Bg4k/t8cN4nrEkooZr4sSJFaY5HA4ZE+7cuRMvv/xypZbLoL4GjRw50ue+CMxfe+01JCYm4rHHHvP73NzcXEyYMAGTJ0/2ye6L2qsZM2bgySefrLb1JqLGR9mVLH96YPCZLkpsTjG3DPfFT61Hh2XBl6C54yBUtwkOTzhCC7VwukOQq9Mg1GnFg8v+wNtDLoFdb4DO48H4vzejZUoGnNDgp31eeRVas57ZeiJChbN6DcHixYtl28qyTCaTLL15/PHHccMNN1RquQ1j69RDIkh/8MEH5U596623EBIScsbn3HrrrT73L7roIjRr1uy0o6hrQ3Z2tjzaLFFYWIiCgoLS+06nE1lZWT7PEaVF/u6npqb6DB7ma3Bb8e+qBv596IpzPopPVl5k3sVgWF8qPChAjJw7zp4FJ0zYZeqCtfEdcPXD16PH/92D7i/cixYvPIH+jzwIi8uKOZ99iNHbd+La9dswcNchmf13KFpE6r0waPnvnJ+J/P6o69+DVHmHDx/GoUOHfG67du3Cr7/+WumAXlBUtlqpceIfyT333IM9e/bgvffeQ7du3UofO11N/b59+7BkyZIKy5oyZYoM6sUtMDCwxt4DETVsnge/gObthfBAByfEZ0txVskDReblzciX5ThORYcjhpYwuYFDkZFon3YcKhQcN4Th0scmISso4ORCT8QLYUVWfP/h59jUtA2iM/LQ9lCaXO7PnVsj6KNLMLmftpbeNRHVZe/0WOj38fs3Xo764LPPPsOoUaNOWXotDqZ++ukn3HLLLee8XGbqa5g4hnrqqaewbds2TJ8+3Seg96f8aZqyyyMiqmrat26E+sFEIMAAHaxwQ4ELGmhhhQEO2BCMAk0QDKoHEZrjWNE5HnsSwuHRaGTW/XBckE9AH5OXj+AiO5pkFkFv8+K9AYMQnG9F8+RM+bhT0aL7K70Y0BNRg3fbbbfhwIEDp3xMZO3F45XBoL6G/fe//5W1VGKw66WXXnrWz8vPz0dmZvGXX/lTOKGhoczSE1GV09x1EXSFM2D46T4EXx6D4MujkT3/ftiW/htGswPPXXolXu8zDAdCItH6+BHsCg3G/E4dYdNp0DQvG4pXRZu0DCx97T3Mnvk1ojOKEGR1IsjqwvqYaKQrBnhVwAEdbAY9rrw8nHuRiPy2tPR3qy/8JWTtdju02sqdreRA2Ro0d+5cfPHFF7j66qsr1MefjdmzZ/sMlBXlOEeOHMGVV15ZxWtKRFTGqB7yJr4yE0qmFX2IySNnYaYxDlNGD0Vsbj6e/fV7hBcVyLr7hJxCXLVmJ+5ZuxydUtPw+OWjSnvTS4qCxV1aIq6wEPGp+SiIDOImJ6IGKykpSSZiS2zatEkG8OU7HYr25qKBSmUwqK8h+/fvl51uwsPD0bVrV/zyyy8+j4vp/fr1O+3zRTZeZPgzMjLQs2fP0paWoh7rrrvuqoF3QERUhqIg+teJeGTdcdzz2yHoWoXC9OJ9ONz6PYQjD4dDI3DjqnXofjwF6YYQ9N6dhpbJhfi7XVPsjYuUi3BrNPKy77nBJhwe2oabl4garFmzZsmya1FOLW733nvvaTP4b775ZqVeg0F9DXa78Xg8cgDEM888U+Fx0Z7SX1BvNptLLz71zjvvyB3fv39/efEp9qgnotpi7B0rbyWCH+qH3W8egDtXi+bWPDlg9kBAHJrk2eSt3fFMfHBJLxyMDsMFycXdN7JDAxB/ieieQ0TkR/2psKlg/Pjx6Ny5s4zfxO8vvPAC2rTxTWYYjUY5j2htWRnsflMPnKojDhFRXVXw7npkvbcVit2OfRlGFOrMPo/viotARqgF3Y+myft7W8TjkXk9ER7p2xOfiKist3st8rtBHlg/vF5sMFFOPXr06DNeePRcMVNPRERVKui+XvImrE/8BtpC3wtWxecXItpaBJdWg+PREcgMNDOgJ6Izqk+DYf2pzLjKs8GgnoiIqk3nF3pj14OrS++LitGUZk1QEByAfKMee8PD0PGo70VwiIgauuzsbHz55ZfyolNigGxZoub+k08+OedlMqgnIqJq0+6mlkhbmoJ1K/JhcbpwNLEJEGCSjwU73eickYUAp5N7gIjOSAysbwiSkpLQu3dvWK1WeYuMjJRBvhh7GRYWhpCQkEotl33q6wHR3oj19ERUXw14ux+MzS34dGhXeE8E9CVMHi+cgb4190REDdljjz2GTp06IS0tTQ6c/fXXX1FUVIS3334bJpMJP//8c6WWy6CeiIiqlc6sw93fDcKbfT2n/NIJDWwY2TciorOxatUq3HPPPTKAF0RgbzAYcN9992HSpEmYOnUqKoNBPRERVTudSYu4gdEwlrvYiuL1IqZJ5a6eSESNS0O5omxaWhpiY2Oh0Wjk1WPz8/NLHxsyZAiWL19eqeUyqCciohoRnmCGudCKgIJC6FwumKw2RKZmoOvoOO4BImo0oqOjZQ29IHrSr1+/vvQxcdVZna5yQ145UJaIiGpEYLAO8de3xtFvDiA0Jw9Ogx7eC2LR/eKq7dVMRA1TfcrG+yMuNrpp0yZcccUVuPrqq/Hss8/C4XDIEpxXXnkFF198MSqDQT0REdWYCQ8lYl3PYPz0v40wBVnx0KPtoWkgHS2IiM7GlClTZEZeePrpp2Vby2nTpsna+sGDB+PNN99EZTCoJyKiGiP6L1/QLxCbdx2Q9w1GVoESUePSs2dPeRMCAgLw448/yrp68fkYFBRU6eUyqCciIiKiOq+hlN+cSnBwMM4XUyRERERERDVo9+7dmDBhguyCI2rpN27cKKdPnz4dS5YsqdQyGdQTERERUZ3XUFpabt68WV5RdtmyZRg6dKi8kmyJwsJCfPDBB5VaLoN6IiIiIqIavKJs165dsX//fsyZM0cOkC3Rp08frFu3rlLLZU09EREREdV59Skb78+KFSvw+eefw2Kx+GTpS3rYp6amojKYqSciolqR5zXjo23Al7u8sLlOZqqIiBoyVVVlHf2p5OTkwGg0Vmq5zNQTEVGNO+COwlsFw2FfLDJvXrRRrFh5TxAiLQ0jE0dEdDqi9Oa7777DiBEjKjy2cOHC0naX54pBPRER1bifM7rDHnAyU7VPteD1OUl44a5m3BtE1KDLbx566CHccMMNskf9zTffLKclJSVh8eLFmDlzJubPn1+p5TKoJyKiGrfHGFNh2txUM17gviCiBu66667DgQMH8Mwzz+Ctt96S08aNGwedTidbWo4ZM6ZSy2VQT0RENcrmBtzail8/R02Vv5IiETV8qqZhZOqFf//73zJL/9tvvyEtLQ2RkZEYPnw4mjWr/NlKBvVERFRj1qV4MPxrD6BU/PpxnSLQJyJqCB599FE8+OCDSEhIKJ0WHx+PSZMmVdlrsPsNERHViKf+l40+X6rI8Z46eFfQcLJwRFT16vPFp1577TWkpKSU3hetLPV6femVZKsCg3oiIqp6KdlAdkHp3aQHPscL+wN95ylzwRXBy/1ARA2UWu7z7nTTzgeDeiIiqjqZ+UC/x4D424HIW4HrXgXmr8Tapcnwaoq/chTvifC9XGZNfL29vs7NvUFEVAkM6omIqOrc+T6wZu/JKH3uShy8YxaG7d+O8MJ8zJg/A4dfuA/t0o+e8umTlwFODy9ERUQNq/ymJnBUUi248847cfz4cSxYsKA2Xp6IqPosWO9zd1dkLI6EReHyfVvx13vT4NTr0XXyq8gzB5x2Eb8f9mBUK349EVHDsmfPHtm2sqSmXti9e/cp5+3Ro8c5L5+fmkREVDVsDsBd/EVVokPmcXmTv2ek4Opbp/gN6IXJS4BRrbhTiMhXfc/G/+Mf/6gwreTiU2Xr7BVFKQ36zwWDeiIiqhrjXvb7sAIVByOanHExe3K5Q4ioYZk1a1a1vwaD+gbCarXCYrHU9moQUWO0eg/w2o/Ar5v8ziZybCN2b8a22DNfXOV4oRexgRz2RUQNw6233lrtr9Egg/rU1FS8+eabWLVqlTx90alTJ/zzn//E66+/fspa9p07d2LmzJnYtGmTDI5jY2MxatQouQNKap/K1sJ//PHHeOONN7BmzRq4XC50794dU6dOrXAVsPT0dPz3v//FypUrfdbjdM51Pd5//315eeH169cjPz9f/iQiOl8ZVhU/H1QRaQYuj3FC98vG4rKatnFI25CMX+xhiPn6T1y2egW0J1qylQxtPdPJ8Wm/z8ORsEjM7Tag+DmnOZ3+j1+9WHQtg3oiajjlN9WtwQX1Iri9/fbbkZGRgauuugqtW7eWgxDuuecehIaGVph/+fLlMiBv2rQpbrrpJgQHB2Pbtm2YMWMG9u7di5deeslnfpvNJoPqrl274r777sOxY8fw9ddfY/Lkyfjmm2+g1WrlfAUFBbjjjjtk8D127Fi0a9cOO3bskOsREhJy3ushgv677roL3bp1w7333ovs7Owq35ZE1Pj8laxi5P88KHIBcXnZWPvBU4jPzJCPObQ6DHvwBWyLaw5c3QkDelyGP2c8B5PbddaXjbK4nBhyYAe+6X6h3/l+OwKsSfGibxwDeyKiRhnUz549W2bqn3rqKRlMlxDB/auvviqz3yUcDgeeffZZdO7cWWa9S7Lh48aNQ5s2bWQ2XmS/e/XqVfqc3NxcOaih7GmUsLAwmTFfu3Yt+vfvL6d99tlnMuB/7LHHcM0118hp4mfLli3lWYTzXY+8vDyMHz9eBvZERFXl0b+KA3r5+9IfSgN6wehxY+qyBbhlwgPy/srm7fFDx564buvqc3qNtwaOPKv5piz14u8bGNQTUTFm6v1rcJ+Wy5Ytk0H26NGjfaaLADkgwLfjgiifERluUeJSWFgoA/aS24UXXlg6T1kajQbXX3+9z7TevXvLn0lJST7rITLyV155pc+81113XZWsh3DjjTeirhHvQxyklBDvR5y1KOF0OpGVleXzHHE2w999cZBW9qprfA1uK/5dVd+/jz1lTvq1Sz95SfMS7ctNyzed+1get6b4jOaZZNpOXmOW+/wkfiaexO+P2vv3QXWPolb1NWpr2YABA9C+fXtZm17eDTfcIP8gS2rqRVb/7bff9ru8K664Ak8//bT8XZTdiOz7zz//7DNPSkqKnE88Lm4l6yFKbk412rkq1uPQoUP4/fffz7A1iIjOzTU/ePDtvuKvhSlLf8QrP3/u8/iLF43F4yNPJhR+n/EsLt2//Zxe4/8uGot/l1nG6bxzsYL7epzdAQARNXzPD/N/VvDJ3/uhMWtw5TfnouR45v7770eHDh1OOU9UVFSFTP2ZlldC9BmtrvUwmUxntWwionPx1iUaHC/yYGUK8MGQkZjgOIIei1eIDypYAwOwsG234s8glxNTli0454Be+NfSH/Fjx55Y3bz9aedpHQwG9EREjTmoj4uLQ3Jysuw2UzJoVRBdakSWXQxALVHSrUYEyH379q3S9UhISMCRI0fgdrt9OteIU2I1uR5EROciLlDBiht0OFagItCgRcjUh4HMSYDXC0tkMJYmZeJokIoQiwFBl/cC7moKfPE38PMGwO4+4/KXteiAKWNuxiYx2LY8VYXO44Zbp8fTA9jlgoioUdfUDx48GDk5Ofjpp598pn/77bcoKirymSYGtYaHh2POnDmyfr08u91e4Tlna8iQIXIw6/fff+8zXXTIqcn1ICKqjPggBSHGE4F1ZDDQJFScqgSaN0FChB5BZh1wQSvgqgHA/H8BtrlAk5PJivKcGi1m9LkEQ++djlZZabhs79aKMykKRu0u7nV/UbMG9/VEROdJVfzfGrsGl6m/5ZZbsGjRIrzwwgvYtWtXaUvLJUuWyHaRZS+7KzLj06dPx5QpU+RAWlG3npiYKOvdDx8+LJ/zyiuv+HSdOZf1+O233/Dyyy/LlpRt27aVLS2XLl0qs/g1tR5ERDVm23+B6ImnfGj8zY/gh8698fRv8zD993lICo1Av/v/g+Mh4T7zpQSFItRaiISgii2IiYioEQX1ohe9uDiUaBv566+/wuv1okuXLrJVpGgbWXYkd0mWXAxUFbeFCxfKLL8ojRGBt+guI1pKVkZQUBA++ugjefEpEdyLdREXnxLrUXIRrJpYDyKiGiOy+SYDYHf6TN4fES0DesXrxcN/FzcaSMzNwrbXp+Cr7hfiiwsGYnXzdnJ6uK0QFzVlyo2IKmJLy0bW/eZ0RG37sGHDZC/4M3WaISKiSrrzPeCjP0rvinOSP7e7AGNvfxxajwfWJ26CocyZSuHRkTfilYuKrysy9c/v8NDccYgPYvkNEfl6dnjF9t5lPb2ocY9LbJCfmqIGvbz58+fLchYORCUiqkZvTAS6nhwEqw0PxJp7rke79GPwaLUyM1+WTafH3G7FF+0LslmxZsIYBvREdNpMvb9bY9fgym+Ehx56SF6xVfSrF7Zs2SJ7uos69auvvrq2V4+IqOEKMAFbXgdW7QEKbMDQTnjIpcWrbztkrfw9V9+BLEsQxuzagOSQCEwfdi2OhDeRTy0wW/DHjQ0y10REVO0aZPnN559/jl9++UVeFEpk7SMjIzFo0CB50SZxtVkiIqpZf+x34t6PUrEvMlZ2uTkVrQK4JzfIXBMRVYHpl6/1+/i0hX0a9XZukEE9ERHVPeqSbfjlnz/hihsegbfMdURKaBTAw6CeiE5j2oh1frfN9F97N+ptx/OcRERUI5SLumDUpn9hycX58kJT5XmZYiIiqjQG9UREVHM0GvTvHirOE5+y/IaI6HRUKH5vjR2DeiIiqnERSmGFaW055ImIqNIY1BMRUY272bRC5tbKZulnj+BXEhFRZbHNABER1bgO+uN4QvMDclqPhVGnwZ3dNGgXztPnRHR67EXvH4N6IiKqFU212Xh6KKDXV+yEQ0RE54ZBPRERERHVeczU+8cCRiIiIiKieo6ZeiIiIiKq85ip94+ZeiIiIiKieo5BPRERERFRPcfyGyIiIiKq81R2vfWLQT0REVUrNdcK9/O/wv3XAeh6JEB9/DJucSKiKsbyGyIiqlb5F7+DjZ8dxi95cdj63VHYB/0Xivfk1WSJiM6GV1H83ho7ZuqJiKja2DccxVxPByT1ipP3N6MD7G4nFu0IRffEo7iN256IqEowU09ERNVm0xdJSI6NKb3v1CjYG9sER0wxmJPeB29+l8etT0Rn3dLS362xY1BPRETVZtsOB1RN8VeNVafFx91a48c2CcgPsQDBRryxzMWtT0RUBRjUExFRtSnMtULvcKJJWi4CUnMRlV148kFFQVZYILc+EVEVYE09ERFVG6fWgXbbk5CYXlxmM2LdXrw/rAfmDO5SPIOWuSUiOjsssfGPn6ZERFRtUgJiSgP6Erct3QKzwyl/75qaihWPreUeICI6T8zUExFRtWmWZaswLSfAhEFJWVA9Nnz87Ux82e0SXMh9QERnwLaV/jGoJyKiauGyuRFQZIVbo0DnVZERbMa/b7kEO5o1gaKqaJ1RgGPeRHQ9dph7gIjoPLH85izceeedGDNmDKpKSkoKevXqhRkzZlTZMomI6hqv04t2R9Lwd9eWKDQb8d8r+smAvqQ2dl+TYHx80QAkZObU9qoSEdV7zNTXU19++SWCgoKq9GCDiKgqpa7LgN7hQV5MGH5oHYtVHZtWmOdYZAC0dm53Ijozla3o/WKmvp766quvsGDBgtpeDSKi0/rf3HQciwlHUZBZ3m+ek1X6WHxGPkKK7Oh4OAM5mnB4CtmvnojofDTKTL3VaoXFYqnt1SAiatA+sUTi+ths+ftlu//CjesO4darHsJj36xG6+M5stZeAxU6L/D8NWtx6I6eGH+BASNaKFB4dUgiKkcFU/V1KqgX2eXp06fj3XffxdatW/HDDz8gJycHrVu3xuTJk9G1a1ds2LAB7733Hvbs2YOAgACMGzcOd9xxh8+H/M6dOzFz5kxs2rRJBumxsbEYNWoUbr31Vuh0Op96+OPHj+P999/HW2+9hfXr1yM/P1/+FDIzMzFr1iwsX74c6enpCAwMRJs2bXDLLbegX79+PuuelpaGN954A2vWrIHL5UL37t0xdepUNGvWrEq2zbx587B06VIcPHhQbpOQkBD06dMH99xzD+Li4krr8a+44gr5u3hfoja/RMl7IiKqbXlDnsPv65MRbLXjjbA70O/wBpgKNfj5v5/BAx0KYYbVa5LzeqEgzanB7EM6zD7kRYdwYOMtWph0/AInIqrzmfp33nlH/pwwYYIMkL/44gs88MADMuB/7rnncPXVV2PEiBH4/fff8eGHH8qgdvTo0fI5IgAXwXTTpk1x0003ITg4GNu2bZMDT/fu3YuXXnrJ57VE0H/XXXehW7duuPfee5GdnV0aIE+aNEneFwcEHTp0gM1mk8tau3atT1AvposDBHHQcd999+HYsWP4+uuv5YHIN998A61We97b5PPPP5fL79u3r6yXP3DgAL7//nusW7dOvlZoaCjCwsLw7LPP4vXXX5f3J06ceN6vS0RUpRasR/BfmxFy4u4jf3+AIm8EshAnv3R0cMOIAhnM22GUP5d3TCx9+q5s4KafPZg/tlGeTCai02BLS/9q9RNTZMhLsuqtWrXCww8/jH/961+YPXs22rdvL6ePHTtWBvPz58+XPx0OhwxqO3fuLLPvJc8X2XyRYReZdJGxLpvBzsvLw/jx42VgX9aLL76IjIwMeYBRPivv9Xp97ufm5uLmm2+WZwJKiABbZP/FAUD//v3Pe3uIwN1sLq49LTF48GB5ICLOaIjXFo+PHDlSvvfw8HD5OxFRXeKZPh9l0xxeqEjXxcLi8Z0vAHYZ1C+8oBW2NY/2eey7/YDbq0KnYbaeiKhOD5QVQXjZMhmRRRe6dOlSGtALer0enTp1QnJysrwvSl9KMuuFhYUy2C65XXjhhaXzlHfjjTf63BeB/qpVq2QwXj6gFzQaTYX7119/vc+03r17y59JSUmoCiUBvTigKHlvbdu2lSVB27dvR30g9o048Coh3kdBQUHpfafTiaysk4PlSsqI/N1PTU2Fqqp8DW4r/l3Vk38fbo3e5/mTxtyBzbFNT1kfq9G68PL4ipee0ikqnCeuOltb74OvwW3Fv6vT//uguqfWMvUlNeIlRAmNIGrjyxOPiSBcOHTokPz5/PPPy9uplP+gFxl1ERiXJQ4SxIe7yO6fjaioKBiNRp9pouZdKFm38yXKbD766CPs2LHD54tGqC//kMTZg7LKb3eDwYCIiAifaeX3efn7MTExfA1uK/5d1aN/H8qz18M7YpocBFuoN2J+hz7I0h1Gv8NHSzNJqvzPC69Hh9uWrseHl/b1WcZtnRVYzCc/c/lZUrf3OV+j8W2r2iCub0F1MKgvnwkvcaba9JIsy/333y9r4E8XgJdlMhUPxqqO9S27TudDZOLFe0pISJA/xUGPOIgQg4P//e9/VygHIiKqqwyXd0L2NWOR/dsG6F0e6Lxe/NmuJZa0S8Rlew7KkF4HD8ywoRABmLhoM5IigvFbt3bwajQYlgi8P+z8xykRETUm9W4UUkmnGRGoiwGllSUG2YqAWQysrQsWLVoEj8cja/Tj4+N9BuieKkvPdm9EVJeFz7sZKcHZWB0diw6ZudgSE4khhw/BiJMlNUIwipCLQDyTaMMtY3ToFqWgYySzcURUETP1DeziU6IGXpwSmjNnjqw5L89ut6OoqOiMyxGlMwMGDMDq1avlrTqy7+ei5AxF+dcVbTtPlaUX9ff1pSSHiBqnhCe6IDinCE1tLozYlwTXKc7Eis43VrMevZ/pgQkdNAzoiYgaS6ZeZOhF28spU6bIwbaiZ3tiYqIMcA8fPowlS5bglVde8el+czqPPvqobAn50EMPyc46opxHHBSImnZRa/bggw+ipgwdOhRffvmlXJerrrpKDhAWA373798vW1eWJ7r//Pjjj7KNpzh7ITL3w4cPr7H1JSI6k4BbeyP+ie0IL7TiSJMI/NWmPa7asrH0cTc0OBAZDZtXC42x3n0dEVEN8/Iknl/18lNUZOtF20txW7hwobxQkxhMK+rRRZebsx38KspcRMb/448/xooVK/Dzzz/L5Yjni8C6JokLWb388styXT744ANZTy8uPCV69IsLb5UnLkglzlR89dVXckS6wKCeiOoSj0aLfJMFNosBJqcLX/fti0NRkRi0dy80qoK9IiFjCYA5x1bbq0pEVO8pak3XmRARUaMgvl7mt5qJzy6+DEaPF3qbQwb3dosJgU4nEnOLO4fprU48tnxwba8uEdVx94/f5ffxd+aeuoFKY1HvauqJiKh+EGWBxyJMOBZshjhr7jYbURgSCLdeB49SnE8S/2/jPPM4KCIiMVDW362xq5flN3WR6FwjyoDOZoCuqJcnImoMWuZkYHuTQGhVFU3zrHBoNdgXHohx29IhzhOHZhVg5Mc9ans1iYjqPQb1VSQtLU0O2j0TUS9/NoN4iYgaggxLDK7dsApf974Q6+PDoPO48fj3SzBydRK0cGF7+wCYewyr7dUkonpAdMui02NQX0XEldvefffdM87Xtm3bqnpJIqI6zxESgD1KHDrv3Auz4sWewCh817wNWh8/ghuPLEPk8Uhx/djaXk0ionqPQX0VEd1qzudiWEREDVFE+xDc9/1WPHbVAORaiq/uHWzLweija6GFB6Hh5tpeRSKiBoFBPRERVZuBXc04+HEevpy5CJsTIhFsd6J9Wi4UaOFVFAS8OYFbn4jOCgfD+sfuN0REVG3iLk+AEVYYPF70OZIuA3o97MjpqsOPj/aFcnl3bn0ioirAoJ6IiKqN0iYWnYa7EYJMaOBGMLLRsUc2/rjvAqS3rHi1bCIif1eU9Xdr7Fh+Q0RE1SpgwYPoOmsxsGoP0L0jXP8YCnzzJbc6EVEVYlBPRETVS68D7rys+Ca4XNziRHTOxDgcOj2W3xARERER1XMM6omIiIiI6jmW3xARERFRnceWlv4xU09EREREVM8xU09EREREdR7bVvrHTD0RERERUT3HTD0REdUIz8/b4HzsB3gOZWFoGyNW39CUW56IzpoKtrT0h0E9ERFVO/VwFpY8vAqrml8KTyzQMjMFg95YB/yTG5+IqCqw/IaIiKrdrhdXY3nzbgjNyEFMSgYKXQb8HdETzhVHufWJiKoAg3oiIqp2G3e6EZaZI1vSOY16KKoKq2pE8hf7uPWJ6KyvKOvv1tgxqCciomrl9ajIs7mwqXU8FndtBZvJgCC3B1qPF4f+TuPWJyKqAqypJyKiarVhbQFevvQiJEWEyPu/tmuK/372KwbuPoz8QC3UgxlQWkZxLxCRX8zG+8egnoiIqtULaz0yoO+7NwlhBTYoRhMW9emCltkFSEjPhPvbzdBPHca9QER0Hlh+Q0RE1erQwSJMWroRTa0eNPdo0DHPirZ5VvzZvzv2tYmG7eU/oXq93AtEROeBQT0REVUb1eNF26RsmE2BiHW4oVcBp1YLz4lBbevbtoM13wX1zz3cC0R0xivK+rs1diy/ISKiarF/9j5seGIjmvRoD0VX5htXUdAzeTMGHlgr74a4rfDOXQ3NsA7cE0RElcRMfRX48ssvsWDBgvNejliGWBYRUX2XtycPG/+1AV4VyLeYfR7rkbQFN2z4Dom5x+TN7M0Bft9Ua+tKRPWDF4rfW2PHoL4KfPXVV1UW1ItlERHVd5v/tQ4ejYKM6GDE5OX5PNb3yMYK83uPZMGbb6vBNSQialgY1BMRUZXL35aD3PAAFARaEJNXgMjsXIQUFSI2NwORhb5BvuCFHhltX+eeIKLTEhev83dr7FhTfwYOhwOffvopfvvtN6SmpkKn0yEyMhL9+vXDjTfeiCuuuELOd/z4cfTq1av0eevXr5c/xfN+/fVX7N27F9nZ2bBYLOjevTvuvvtutGnTpnT+ss8t+/uPP/6IuLg4+fvOnTsxc+ZMbNq0CVarFbGxsRg1ahRuvfVWuV5ERHWBO98Jd7oTtg4hMLs9clqrY0dx9Z7FMpOkwAVV/iwmfi9CBLxpDjh/2wPDZe1qdf2JiOojRoJn8NJLL8nAeuTIkZgwYQJUVcXRo0exZs0a3H///Xj22Wfx+uuvIzQ0FBMnTqzw/Hnz5snHrrnmGoSFhcnnfvfdd5g0aRI+//xzJCYmyvnEckTAnpubi0ceeaT0+eI5wvLlyzF16lQ0bdoUN910E4KDg7Ft2zbMmDFDHjCI9SQiqgt23r8aFrsbx4IsCHe60XVHCtrmHCk9NazCCBfCoEVxuY0bZijQQoEK2/C3ofe+DYVZNyKic6KoIkql07r44ovRpUsXvPnmm6edZ8yYMTJr/uGHH1Z4zGazwWz2HSR26NAh3HDDDRg7diwee+yx0ul33nmnzPiXr88XZwvEazRr1gzvv/++T1b+iy++wBtvvIEPPvjAJ8NPRFRbvgv+Chp4kR9kwJbmMRi7cg88oV70zz39YFjxReSAEV5oYPxkAiwTe9foOhNR3XftbUf8Pj5vVjM0ZqypP4OgoCAcOHAA+/fvr9QGLgnoxbFTYWGhzMSL7LsI0Ldv335WyxBnBUTpjii1KVlGye3CCy8snacuEOspDkJKiPUtKCgove90OpGVleXzHHEg4+++KHsqe+zJ1+C24t9V3f73kW0xwWJzoUVKHtodzsCafm0x75KB2BLfqnQecampHdGxpfdFKY4F+TJb7/puW514H3wNbiv+XZ3+3wfVPczUn8Fff/2Fp556CkVFRYiPj0fPnj0xaNAgDBkyBBqN5oyZ+t27d8ss+oYNG2TWviyxvB9++OGMmfrZs2fj7bff9rueorb/6aefPvMeJyKqZq/0Xoz4g5lomp2PlNhQrO3bDnlmkwyoC7QFCC/Kw+I27bCvSTQmL/kd//nlR5mr18GOQgTD8OVEmCd0534iIh/jJib53SLfziwuaW6sWFN/BoMHD5ZB9sqVK2Vgvm7dOllj37lzZxmsm0ym0z5XZIXuuOMOBAYGyhr65s2by/lFrehrr71WIcg/nZLMkqjh79Dh1BdniYqKOqtlERFVt4kfdMMTD+3FqG37kRkZWHr12NQgM35p29Jn3rcHDcU/l/2JmKIcWXqjxobCdH037iQionPEoP4siEGpl19+ubwJIiMvbqKzjciQn25A15IlS2TgLmrey9e75+XlwWAw+Ew73XJEqY4gDgj69u17dnuWiKiWRPSMwCXJybCZ9QjOK4Le4xHZCVj1Wvl4t2PJeOyPRUjIy8GvHTpjc1BbjChaCTeA0JRnud+I6JR4gSn/GNT74fF4ZOtIUVdfVvv27eXP/Pz80rr5U9WZlZTnlB+LLLrfiFpQUbJTlmh3KZYj5i8b4Pfv3x/h4eGYM2eOPLAQ3XTKstvtcl0DAgLOsLuJiGpG0y4hSF6fA5PDhVb7j2F/qzg01Shomp2N399/C8EOu5yvd3IS8hACO0xwXdkXpz/3SURE/rCm3g8RYIsgWpTgtG3bVgbWoqTm22+/lYG0uPqrqIt/7rnnZEnO7bffLrPqIiAfPny4bF95/fXXy4OC8ePHy59btmyRpTzidxGIl62f//jjj2VJj5hXdNwRBwXitcVBw6pVqzBlyhSZrRdnB0QrTLF+hw8flmcEXnnlFXa/IaI6w7o7FwsuWgTNiaSG+L/oiJOgJuGC9CMVsm926BDifB0aPXNNRHRqV01M9rtpvpvZtFFvOgb1frhcLtkHXtTRiwBdZO0jIiLQo0cP3HbbbWjRooWcLzMzE//3f/8na+7F6PCyF5/auHEj3n33Xezbt08G6d26dcMDDzyAl19+ucKgWLF80W9e9KQXZwFExr7sxadEBx4xaFYsOycnR5YFJSQkYMCAAbj22msREhJSnX8rRETnZPGNy7B4vxct03OgaDXokJ2MNjnJCERBhaC+6KJOiFx8H7cwEZ3WFZP8B/U/fsKgnn3qiYioyonExORnkzBD3wTvzl2E4Vs2Q4EXIcgUQ2JL51vYqhOGvXoRLFd24l4gotNiUO8fz3MSEVG1EKWIr09rhqALf4fGYZXTVGiQj3CYYJUB/gd9B+Cvth0wlgE9EZ2Bl1ea9otBPRERVavmBg+iipyl973QwYpguKHFgSZtcOtQ38H/RER07nhFWSIiqlabru6JA9Ex8JT5yhHFNwUaC6DXY/DgMO4BIqLzxKCeiIiq1aBLw5ESFIjVzdqhEBYUwYxcBOOP7l2gaIHo1oHcA0R0Rl7F/62xY/kNERFVq6vbabBeB/zUuwtWdmiN6NwCHIqJhNVkwCR1L4DO3ANEROeJQT0REVUrrUZBzwsUhHy5GqrXhQNxsRi9+TDcGgN6fdSDW5+IzgqvKOsfy2+IiKjajb81ESs6JGJZ956A1oTlHbtADc6FYVArbn0ioirATD0REVW/jk3x7K0HkfvkbBy0B2JMXhb++gfLbojo7HnY0tIvBvVERFQzbhyC0BuHoIvVhlmfz+FWJyKqQiy/ISKimqVnPomIqKrxk5WIiIiI6jy2rfSPmXoiIiIionqOmXoiIiIiqvM84BWm/GGmnoiIiIionmNQT0RERERUz7H8hoiIapTq8kDxqFC1PJVORGfPw48MvxjUExFRjVDdHuSN+BTqn3twjQqktbFAvdkD6PXcA0RE54nlN0REVCPSLpkD5Y/d0KgqNFARu68IOQM+4dYnorPiVRS/t8aOQT0REVU71eOF+6+DUAE4oYfrxIli15Y0qKqYSkRE54PlN0REVO1sP+yR2fkUXTSMbq+cVqTXwRmgImhNCkL6xXMvEJFfHmbj/WKmnoiIqt3+tzdhR1TT0oBeCHC5kakNw99fJHEPEBGdJwb1RERU7fal2hCVb60wXat6cGRdLvcAEdF5YvkNERFVO8VdAEU5maUvcTg8BJFH87kHiOiM3NxGfjFTT0RE1a7dkXxE23Oh4GRgr4MLAw4fginPyT1ARHSemKknIqJqpdoccMEEDQoQgCJ4oYGC4raWqtuIMDfLb4jozDhQ1j9m6omIqFqlv7Ucm1u3Q5bJDNFJWivDelW2tzTCgSB3EfcAEdF5YlBfSevXr0evXr2wYMGC890HREQN2sp5WcgNMKPv1PvglCE94JWFOOIrSItArxeejMLaXk0iquPciv9bY8egnoiIqk1RSj70hwthySvAvUs2wAUjVGhl8Q1k3h4I9Dqw8e4/uBeIiM4Dg3oiIqoWXo+K7y/+HqmhodB6FVyxdi9sMFSYT+Tsg3/dxL1ARHQeGNQTEVGVc2fZsLLDbNjcATIf79brcSAxFqmRIXCVuyqkRmOFi30biOhMnytQ/N4aO3a/qUJ2ux0zZ87E77//jtTUVAQEBKB37964++670axZs9L5UlJScMUVV+COO+5Au3bt8PHHH+PgwYMICgrCyJEjcd9990Gn8901S5cuxUcffYRDhw7J+S699FJcffXVuO666+Ry7rrrrqp8K0TUWP2wFpi9BLAYgQAjMH8VkFsEeMWw1hPMOnhtIr9uloNdtYoDmkgj4PYA+Va4PVo4EYae8GJPy8uRHx4ErUnBqA1LEWorHhTrgB5FCMD26KYIdeWia842JIffgcj8PBHlwxSoh2JzAnZX8WsadMDT44EnrqmlDUNEVLcxqK8ibrcbDz74IDZu3IiLLroIEyZMwPHjxzFv3jysWrUKs2bNQosWLXyes2LFCsyfPx/jxo3DlVdeiWXLlmHOnDkyaJ84cWLpfH/88Qcef/xxxMbGYtKkSTCZTPjtt9+wdevWqlp9IiLg82XAzW+ecUuIgN6N0NKaeLdqgi4jDxo4ZJAvetqIqvkkUzTibOk4HhqH0VtXlAb0xXOI3HwBemQeQKrZgkA1D4E5Jx70AMgp17ve6Qae/BLonAiMk49o0QAAOfBJREFU7cO9RdQIuZiM94tBfRX56aefZEAvgvnJkyeXTh8yZAhuv/12vPrqq3j33Xd9niOy83PnzkVcXJy8L4J7kXn/5ptvSoN6cbDw+uuvIzg4GLNnz0ZYWJicPn78eJmhJyKqMm/9fFaziQx9SUBfwgOzDOpPhPko0AUgAIXonb0b6zQ9EJ2XXWE5ole9yeNGi8LUs1/H135gUE9EdAqsqa8iS5YsgaIoMpNeVvfu3WUJzrp161BY6NuybejQoaUBvSCeL9pkZmVlwWq1ymm7d+9Geno6Ro8eXRrQC3q9HjfccAPqmuzsbDgcjtL74j0XFBSU3nc6nfL9lSXOaPi7L0qZVPXkqX++BrcV/66q6d+HS6TIz6xMIc4picA+wxQGg8eDAIcLcTnpcHv0FeYrgEW2txSXojproiyInyX8TCz/t3ua+/z+qL5tRXWPopbdg3ROfepFrfy0adMwZswYXHPNNfKPfdGiRRXmfe211/DVV1/JW5s2bUpr6sUBwD333OMz74wZM2TtvOh/L8ptxPKeeOIJ/Pvf/5Y19GXt3btXBvasqSeiKvHur8D9H51xNi8MJ8pvTtIiH1rYZcAvHk8zNEWB3oLEokxk60OQ74pADFKhh1vOb4UZh5AAC+xog50wwTeT79RoYfCe4iBj3ctAr9bn+06JqB5q9mCm38ePvBWJxozlN1XE37HR6R7TaDRnfE5llktEVCn3jSgekPrp4uKMuF4LLNl+crCqoFGg0Xuhc+TCA0vxJK0TWpMKuHVQHMV9KKKcx5Fq6igfD3TZkQ09jiJBXkFWXHTKBYP8mY9AHAiKR4zLi+TIUGyPSkCMvQCD0w74DtCNDAK+eJgBPRHRaTCoryIJCQlYuXIlcnNzERoaWqF2XgTwIvNemeUKhw8frvDYkSNHzmONiYhO4Y5hxbfynC6g0A6EB8m7mqwCaILNgL7i14i8rJSqQtf0v1DzFeRb9NgS2QTdktLhgEnO44IGVhhgggeBRRo8e9FtePOPQejOnUJEp1EmvUCnwJr6KiI63ojM+aeffuozXXSoEfX0ffr0QWBg4Dkvt3379oiKisLPP/+MnJyS1hCAy+XCl19+WSXrTkR0RgZ9aUAvRQSdMqAvO0ao64H74dIZ8L9u3TH/gs4okHl6HQphRJYSCLdGCxNs8oqyI3Zu504gIjoPzNRXETGQ9ZdffsHnn38ua+bF4NiSlpaiX33ZjjjntIN0Ojz88MOyrv7WW2+VrS+NRqNsaVlSfiO+PImI6hyjHkEHnoJjwh9w6nUo0IiuOSepUBGPDPm77uoOtbSSRFRfWBnv+MWgvoqI4Putt97CJ598Ii8+9ddff8lgfuDAgfLCUM2bN6/0si+77DLZ7UYMoBU30d5STBs+fDj+8Y9/yCCfiKgu0iSGYV9MIja2iUFugBGhRSe7aWjNHuiLPMjXGnHR64NqdT2JiOo7dr+px8RFqR577DH85z//kQE+EVFddN/rx9Hiw01Y3LMV+mw7hsSMPBi1XjQtSkW+0YQQZxEGZT9Y26tJRHVc6EO+7XjLy30zAo0Za+rrAVE/7/F4Kkz74osv5BkC0dueiKiuevKmCMTnFeDBr1Yhyl0EBAIerRdHgpsgxxiMlODg2l5FIqoHbIr/W2PH8pt64NixY3jwwQdlNl5crEpcOEbU1IuuOrfddhsiIhr3kSkR1W2xTQywuBzwmFV0PHocYTYbHFodUkJDUGg0Yk+TJrW9ikRE9R6D+npAtMjs3Lkzfv3119IOOC1btpSDZ6+66qraXj0iojM6FhWKfvsOwXLirKPJ7UFgegY2xcfC4hHXlSUi8s95LlefboQY1NeToP6FF16o7dUgIqq03EgNLLvF1WRPfilrVRVZYSZctmcvtywR0XliTT0REVW7C9saZBPL8sZt34Dgvo370u5EdJaUM9waOQb1RERU7Vo83BdercjUn6SFC8lhQYh8fyT3ABHReWJQT0RE1S6xcwgOmJtA1dlhVApg1OYhM0iDNE0kAtpwsD8R0fliTT0REdWIuHHNsGWRGYFWp7gUNnKDTGjbN5RXxSais8MryvrFTD0REdWInp9egt6PdIQSZoTLrMDSORfdvxjKrU9EVAUY1BMRUY1pNbUbLts3DhnTbci8ClA0HN1GRFQVGNQTEREREdVzDOqJiIiIiOo5DpQlIiIiorqPA2X9YqaeiIiIiKieY6aeiIiIiOo+jqv3i5l6IiKqMR6vijnLrPhpVy9sOtYCbi83PhFRVWCmnoiIaszIaan4LTASiOki7x+YehS/vdWCe4CIzgJT9f4wU09ERDVi2wF7cUBfxu/xCVg59wj3ABHReWJQT0RENWLBl8dOOf2v2Ye5B4iIzhODeiIiqhFxy3cjMq/IZ1p4vhWJezO4B4jo7Kpv/N0aOQb1RERUI1qu249/fb8KrdNzoPd40Co9R97XFbq4B4iIzhMHyhIRUY0wedwwmjW4f/mW0mmKWYHdonIPENGZMRvvF4N6IiKqEWtaNodXV3yCuDSM12pgDTRzDxARnScG9UREVCMUrwqPoqAwMBBuvQ6K14uAIiucMHIPENHZfIpwK/nBoJ6IiGpErtkAV3AQVK1W3lc1GhQEBmBHUAT3ABHReWJQT0RE1U71qrAazVANeri0Oplw07s9csCsVc9MPRHR+WL3m3Nw5513YsyYMee90YmIGpuCfXnolJUJh8EAp06L4yYj8o0GuLQatMjLqe3VI6L6gC0t/WKmvh5asGABCgoKcMMNN9T2qhARnZWsL3cgKzAKBywmLGoSDodWC73Xi6HpWbhjwxIAfbkliYjOAzP19TSo/+qrr2p7NYiIzoqz0A7d/30FNxQsahIhA3rBpdHgz+hIbIyN55YkorPAVL0/jTpTb7VaYbFYans1iIgaBrsTeO1HIMQMDOkC6DRQP1+C3P/7G0GqgpDcTDi0vrkkr6JgT1Qimr7nRKBBg+kDgMOFCjpFAO3DgG/2qHB6gYd7KggxFR8MEBFRHQrqRbZ5+vTpePfdd7F161b88MMPyMnJQevWrTF58mR07doVGzZswHvvvYc9e/YgICAA48aNwx133AFFOdnSaOfOnZg5cyY2bdokg/TY2FiMGjUKt956K3Q6nU89/PHjx/H+++/jrbfewvr165Gfny9/CpmZmZg1axaWL1+O9PR0BAYGok2bNrjlllvQr18/n3VPS0vDG2+8gTVr1sDlcqF79+6YOnUqmjVrVjpPUVERZs+eLec5evSoXLfo6Ghccskl8j2YTKbSecU63H333Zg2bRo8Hg+++OIL+ZyIiAhce+218r2U6NWr1yl///HHHxEXF1el+4iI6Kz9tB644sUTDei9clIRArAdfeBEHwBu9DycBIPHA+eJTL2kqgh2qzhq1QCFKq77GdB53HCX+fwWpq9SMbmXB68OZWBPRFQnM/XvvPOO/DlhwgQZIIuA9oEHHpAB/3PPPYerr74aI0aMwO+//44PP/xQBq6jR4+WzxEBuAimmzZtiptuugnBwcHYtm0bZsyYgb179+Kll17yeS0RWN91113o1q0b7r33XmRnZ8vpKSkpmDRpkrwvDgg6dOgAm80ml7V27VqfoF5MFwcI4qDjvvvuw7Fjx/D111/LA5FvvvkG2hNfVhkZGfJA5dJLL5Xrr9FosHHjRnz22WfyIKXkfZc1f/58eWAzduxYeVDx66+/4u2335YHA5dffrmc59lnn5UHMbm5uXjkkUdKnxsWFlYt+4eI6Kxc/3qZK0qJxIuKfegKJ4ovLGUIzIS5UMUD6zbijb69ZIZeBPQDM3MQn19Y/DRN8TR32aC/jNfWq5jYWUXHSPaqJmqU+E+/bgf1gsiQl2TVW7VqhYcffhj/+te/ZKa7ffv2croIdEUwLwJf8dPhcMgAt3PnzjL7XvJ8kc0XGXaRSRcZ8LLZ7Ly8PIwfP14G9mW9+OKLMggXgXb5rLzXW5xxKiGC6Ztvvtkney4CapH9FwcA/fv3l9Pi4+Px888/+5wtEK8t1vWTTz7B9u3b5bqXPwMwb948BAUF+bxncbBQEtSPHDkS33//vXz/4nciojqhyFHmG1eFFwoKUJxs0MOBC6zb8XvgMFyzfC96J6dhcfs2iC50ICa9CCGaLAC9i59a5kzsqSw67EXHSGbriYjq3EBZEYSXDXxFFl3o0qVLaUAv6PV6dOrUCcnJyfK+KGspyawXFhbKYLvkduGFF5bOU96NN97oc18E+qtWrZLBePmAXhAZ9vL3r7/+ep9pvXsXfxklJSX5rG/J+3K73bLUR6xbnz7iNDRkUF+eaJdZEtALokRHbIeyy63rxD4RBxwlxL4RnXpKOJ1OZGWJL/CTRFmUv/upqalQ1dIUIF+D24p/V3Xw34dqKJsjUqCBChOK5D2PwQWD14MV7RNRBAsij7gwftFODFlxAClBJgTYTi5LZOr9uaBJcdDPz5La3+d8jca9rWoFx8nW7Ux9+TpwUUIjiNr48sRjIggXDh06JH8+//zz8nYq5f+gRUZdlLWUJQ4SxB+xyO6fjaioKBiNvhdKCQkJkT9L1q2EyLp/++23OHjwYIWM/6n+YYjsfnli2eWXW5eFh4f73C+/vQ0GgxwrUFb5fV3+fkxMDF+D24p/V3X938c7twN3zvCZ3go7sRM94XGaUWAw4Y/eTRFQqKLf7hT5+MqOCdidGIbjcR2KnyACCkVBTH4uUoNDUd7geGBoYnGihZ8ldWCf8zUa9baiuqfWg/rymfASJbXpp1NyNHn//ffLGvjTBeBllR2cWtXrW3adhM8//xz//e9/ZfZfZPYjIyNl9l6U+TzzzDMVgvyzec9ERHXWHcOAET2AZ+YCRh3QsyXCNx1Ez2+34I0mw/F59I24dsdqPHrbjYjMtcqnZIaYMX3eMrgMenRNSYZRdePidkbo+8YhUA+0C1fw/QEVaUXAgz00GNGy1k8uE1GtYlF9nQ7qK6uk04wI1Pv2rfxFS8QgW9FNRwysrUq//PKLPAshau3LHgisXLnyvJddtvsPEVGdkRABfHxPmQmXwPw2MPH7XfjqiR34stcAoNCFzAAT9G4PNHlOLG4Vixs37cOW14eecpFXtq2xtSciqtfqbdpD1MCLU0Nz5syRterl2e122VbyTER5y4ABA7B69Wp585d9Pxci6y6C77LPF7X1n376Kc6X6K0vyncqu25ERDUp5soOiBmSgDapmTBZHbh32Vb834JVeGzdDigmC7a2qFhuSUREjSRTLzL0ou3llClT5GDbK664AomJiTLYPXz4MJYsWYJXXnnFp/vN6Tz66KOYOHEiHnroIdltRpTziIOCHTt2yJqzBx988JzXT/SjF910xHMvuugieYCxaNEin0HBlSUGDP/999/y/YmBtOJMwODBg2E2F7eOIyKqawY83g3LJqzDm98uQ/CJwXfxKZmIzC7AphbRtb16RFQfsFChYQb1Jdl60fZS3BYuXCh7vIvBtAkJCbLLzdkOfhUDVEXG/+OPP8aKFStkK0qxHPH8q666qlLrJtpeiky66FX/2muvyQErw4YNkwcf4oJS5+OGG26QA3zFQYIYjCteR1x8ikE9EdVVzZqa0edgOizw+EyPOZ6F4DjfAX1ERHTuFJU1HEREVAPmhX8Bj6liLmldlxZ4bVFxu18iotNRnvBfVq3+J6BRb7x6W1NPRET1i0sE9OXHAolGYG5Xba0SEVGDwaCeiIhqxPa28QjOdUDxFAf2GpcXhQEGpFrOv90wEVFjV69r6omIqP6Iy8lBW3saCuwm2LR6BHttsGS6AKMYONuztlePiKheY1BPREQ1ouXRVGjgRQhsCPHY5DQFHjSxFXIPEBGdJ5bfEBFRjQjoHYlwZEADt7yvhRsRSIdFtXMPENHZtbT0d2vkmKknIqIakdcmAsZFVsTACi+00MAjv4ePRoVzDxARnSdm6omIqEa0HNUSa+NaykBeeyKg3x0Zg5Bru3IPENFZYKreH2bqiYioRnS+PAGfRcTjWGAEYotykGsKRFJIFB6c0ol7gIjoPDFTT0RENebav8bBMKAVDkbEIqlFGG758VIoGhbDEhGdLwb1RERUY8yhRoz9cAA89xXCfG0uApuYufWJ6Oyw+sYvBvVERERERPUca+qJiIiIqO5jpZ5fzNQTEREREdVzzNQTERERUT3AVL0/zNQTEVGNU10KVJUbnoioqjBTT0RENSb7cBEWXLEE4ekhcBp0WLRtM0a/05t7gIjoPDGoJyKiGrNoyCI0S8otve/4uBAr2wZhwIPtuReIyD9W3/jF8hsiIqoRthwHmiTnQA83DHBBBzeMDicOvr6Te4CI6DwxU09ERDXCuT8bFtUFD3QoKacXvwXlF3IPEBGdJ2bqiYioRqROXgwPtOWmKojLyeEeICI6T8zUExFRjbDuzQOgrzBdAy/3ABGdGWvq/WKmnoiIaoROaxPNLMtNVRGsZHMPEBGdJwb1RERUI0xOL2KRAcjMvAjuVYSgAKmhodwDRETnieU3RERUIwq1gYhAKsywy/PobmjgBmC0cgcQ0VlQWH/jD4N6IiKqEQ6DEYUIRgjssjRW5Oqd0MHmrFhnT0RE56ZRlN/ceeedGDNmTJUtLyUlBb169cKMGTOqbJlERA1drJoJAzylY93ETwPcMKuuWl4zIqL6r1EE9UREVPty3QYZyLsVDdItgciwBMCjKFC1/CoiIjpfLL8hIqIakaqaEadTsSsqBm5tcb96vceNkIIC7gEiovNUL9MjVitHVRER1QeqqqLIqWLBfzbArM3HnpgmpQG94NLqYDQ4kD3o5VpdTyKqB5Qz3Bq5c87UL1iwANOnT8e7776LrVu34ocffkBOTg5at26NyZMno2vXrtiwYQPee+897NmzBwEBARg3bhzuuOMOKGVGLe/cuRMzZ87Epk2bZJAeGxuLUaNG4dZbb4VOp/Ophz9+/Djef/99vPXWW1i/fj3y8/PlTyEzMxOzZs3C8uXLkZ6ejsDAQLRp0wa33HIL+vXr57PuaWlpeOONN7BmzRq4XC50794dU6dORbNmzVAVPB4PvvzyS7mNjh49CqPRiG7dusn33qlTJ595RU3+6NGjceWVV+Kdd97Brl27YDKZMHToULkdLRaLz/ybN2/2me/CCy/Eww8/jGHDhsnlPPPMM1XyHoiIzkVqkYqPtqo4WuDBn4eAA+LisBq1uEtFcddKtEs7igf+3AZEt0dgrhN6l8dnGU6NHjOUUEx70YYokwrVYECWHQgxAu9dqiAhSIOvdnsRbABu76JBsxB+exMRVVn5jQgwhQkTJsgA+YsvvsADDzwgA/7nnnsOV199NUaMGIHff/8dH374IeLi4mTwKYgAXATTTZs2xU033YTg4GBs27ZNDjzdu3cvXnrpJZ/XEkH/XXfdJQPke++9F9nZ2aUDVidNmiTviwOCDh06wGazyWWtXbvWJ6gX08UBgjjouO+++3Ds2DF8/fXXMoD+5ptvoC2TOaqsadOmYeHChejdu7d8/3l5eZg3bx5uv/12vP322zKQL0u8V/H6V1xxhdxW4mBIHCRpNBo88cQTpfNt2bJFvm+z2Yybb74ZoaGh+Pvvv/Hggw+e9zoTEVVWhlVFrzkeHCsUWY0T7WzER6ly4iSwiL29KvZFxuF/PXpj7PZj8GrdQLmgPs6egkf+PoZ3B4/AMV0YZJ9LsXwbcO0CsdCT87+72YMNN2nRIpSBPVHjw3/31VZTLzLkJVn1Vq1ayczxv/71L8yePRvt27eX08eOHSuD+fnz58ufDocDzz77LDp37iyz7yXPF9l8kWEXmXSRhS8bAIvgePz48TKwL+vFF19ERkaGPMAon5X3en0vO56bmysDYnEmoERYWJjM/osDgP79+5/PppDZfxHQX3TRRfKgRATmgjjYuO666/B///d/chuUPVuxb98+ebaiS5cupdugqKgIP/74o9yWJdl6sU3E+/nkk0/QvHlzOU0s89FHH5WZeyKi2jB7h1oc0KtqcUAvT4GX+9JVgOj8AmxObIoHF25BXGoO0sKDkG82yod1Xg/aFu6FFgoe/OsP/OuKa/2+Zo4deH+LFy8POf9EDBFRQ1LpmnoRgJYtkxFZdEEEqCUBvaDX62XpSXJycmnwW5JZLywslMF2yU2UlJTMU96NN97oc18E+qtWrZLBePmAXr6xE0F12fvXX3+9zzSRUReSkpJwvpYuXSp/ijMHZV87ISEBw4cPx5EjR3DgwAGf54htVRLQl10nUcYjzkIIWVlZ2L59OwYNGlQa0Avi4KDsAUpdIfatOHArIfZxQZlBcE6nU76nskR5lb/7qampsi6Xr8Ftxb+ruvXvI9t+ctppk2iKghyLBdE5hWiamiMT+XHZBWiTkoWWqdnQuBVsjOoGBR6EW4twNrJs/CzhZ+L5/e2W4HdU5bdVrWBNffVk6kU5TVmihEYQtfHlicdEEC4cOnRI/nz++efl7VTKf+GIjLqolS9LHCSIPz6R3T8bUVFRssa9rJCQEPmzZN3OhyjnEVq0aFHhMTHeoGSekt+F+Pj4CvOWX6eS4L5sQF/iVNNqW3h4uM/98vvNYDAgIiLCZ1r5v5ny92NiYvga3Fb8u6qD/z6ubavipbUeUWFTTJwgVU7U05dQVdiNenROTvdZhlZVofWo0Hq92B7dHr0ztmJts5Y4G9e3V/hZUkv7nK/BbUUNMKgvnwkvcaba9JKjwPvvv1/WwJ8uAC9LDAw9X6db37LrdD7EMsqW1pzN8v1tq5LnVMW6ERFVhwuiFcwbo8Gzq7w4kqcizwao3hMDZUt4vLLGvtBS8bPMrdHAo9EgOyQQW5u0wCe9B0Dj9cCrKf5sFJ/aN3YAYgMVfL5LRYgBmNpbg2HN62XjNiKihtWnvqTTjAjU+/btW+nliEG2IogWg03rAlFmIwJwcSaibPmRcPDgwdJ5zlVJNv/w4cMVHjvVNCKimnR1W428nYrDrSI534tdB4rQ5pU5MCpGZKsJxeNnFQWZgRaEFtnR/WASLF4vPI+dPoHz0pBqfBNERA1Ajac7RA28OI03Z84cWUdfnt1ul4NFz0SUqQwYMACrV6+Wt/JqOsMtWlGWDB4u+9qi5EYMoBUHMy1bnt2p5bLEKVMxJkF0uykbxIvX+Oyzz6po7YmIqp5Rp6B1uBZjegejffqr0KguqIroZaOBCxpE5NsQYnUgJNuONkemcxcQEdWnTL3I0Iu2l1OmTJGDbUU7x8TERDn4QgStS5YswSuvvFKh/eOpiO4vEydOxEMPPSQ764hyHnFQsGPHDlkfWJMtH8VZBzEgdtGiRbJl5uDBg2VdvOh4IzrXPP7446ctzzkT0QnnnnvukYNwRRcg0dLyr7/+Kh2wUtnlEhHVGI0Gh8LaQHFpYCn0QFcm73I8LBSK5fzLLImogWO4U7eC+pJsvWh7KW4iiy0uXiUG04ryFNHl5mwHv4rSFJHx//jjj7FixQr8/PPPcjni+VdddRVqmmjVKUpvxMWn3nzzTZ+LT4kWnpUlLpIlLvYlbiI7Lw6MxEGD6GUvDorKDwAmIqqLLCYF2VoFqkePAJtLTssLMiEvgJ9hRETnS1E5ErPeElflFVfOFYOO/7+9OwGPosraAHyysSbsu0BkJKzKKPsAyiKyyCYIAoqQEXRwQEYRHBQcUFGH3ZXBkdUBxxUFQRRRYEQRBkZZZBNZBYGAYTUhMan/+Y5/tdWV6iXQJF3p732eiKnudFffruo+995zTyUnJ+f37hAR+bW97HQ5lV1U9pepIFFR0ZIdHSXZUSLFz6dJvyP92XpE5FfUxN9KbDoxxkX2AAFLCLgA+l3WWrHmtvnz5+v/O9XpJyIKN78UiZWKaWckJiNLJPMXib6YIYXTMqTExbT83jUiItfLl/SbcIQLPiENKJgFurigVl7CxWK6desmnTt39qw/QE791q1bpVOnTjmq7RARhaMjVcpL6XMpUiQrUzLl18/RmOxfJD4tuItOERGRbwzq/9/x48c1Pz2QWbNmBbWIN5Rw5V5cbXft2rVy8uRJXXiL9QdIuxkwYECe7gsR0aWqkJ4mKUXiJTMmDrmfgrWyWdGxciKhFBuViAJjYRC/GNRbSkdiIWogtWrVkryGi1SNHz8+z5+XiCiUSp1OlSNR5aVmyklJuHhRMqOj5WjJEpJWiJmgRESXi0H9/0MFmcu5GBYREQVQqKgkHj8tRTKz9Ne47GypnnpaDpYpwaYjosBY0tIvDo8QEVGeKP1wM09Ab/2ONqL5TU1EdLkY1BMRUZ4o3KuOZDoE8MWy/ZepIyKiwBjUExFRnkioVFzSisfoAllTRmyU/NIl79cqEREVNAzqiYgoz5T4sJ8cqZgg0TGZkh2XKfsaJcrNC9rxHSAiukxcKEtERHmmbqvycvX+gTJzxmIpVDRdhg7vKlEsU0dEweDyG78Y1BMRUZ6KjY2ShHJn2epERCHEoJ6IiIiIXIBD9f4wp56IiIiIyOUY1BMRERERuRzTb4iIiIgo/DH7xi+O1BMRERERuRyDeiIiIiIil2NQT0RERETkcsypJyIiIqLwx5x6vzhST0RERETkcgzqiYiIiIhcjkE9EREREZHLMagnIiIiInI5LpQlIiIiovDHhbJ+caSeiIiIiMjlGNQTEREREbkcg3oiIiIiIpdjUE9EREREBdaECRMkPj5eCjoulCUiIiKi8BfFlbL+cKSeiIiIiMjlGNQTERERUfiLCvBzibZv3y6dOnXSFJ0SJUpIjx49ZO/evZ7bBw8eLDfddJPn99TUVImOjpaGDRt6tqWlpUnhwoVl4cKFkl8Y1BMRERFRRDp8+LDceOONcvz4cVmwYIHMnj1b9uzZo9tSUlL0PgjoN27cKOnp6fr7559/rgH8li1b5PTp07pt/fr1kpGR4RX85zXm1FPIGIYh586dY4sSkV+ZmZk6qgVnz56VuLg4thiRiyQkJEhUAclvnzFjhgbjK1eulPLly+u2Zs2aSVJSkrz88su6yBaB+sWLF+Wrr76SNm3ayH/+8x/p3r27rFmzRtatWyddu3bVbYmJiVK9evV8ey0M6ilkENCXLFmSLUpEQXvwwQfZWkQuc+bMGU1TyWvGqNCHrZ9//rm0a9fOE9ADgvMWLVrobVCjRg2pVq2arF271hPUJycnS3Z2tm4zg/r8HKUHBvUU0p47TvRwdP78eenSpYssX748IspaXS62F9uMx1h44TnJ9gqn4wvf9wVFamqqXH/99Tm2V6pUSXbv3u35HQE7Ane01ddffy1z586VrKwszaHH7CNG8V988UXJTwzqKWQwFZcfPfdgYEFLTEyM7h+DerYXj7H8x3OS7cXjK3xE8vlYpkwZzae3O3bsmN5mDeoxs4iUG2Ql1K9fX4P6kSNHyurVqzWlML9H6rlQloiIiIgiUqtWreTTTz+VU6dOeS2e/fLLL3WxrAkBOwL3qVOn6nYMZDZo0EBnLZ555hkd2Ucefn7iSD0RERERFWhZWVnyzjvv5Nj+l7/8RebNmycdOnSQsWPH6v3Gjx+vo/TDhg3z3K9OnTpSoUIFzaGfPn26bkNgj07BBx98IHfccYfkNwb1FBEKFSok9957r/5LbC8eY/mP5yTbi8dX+IiE8zE9PV369OmTYzsCeuTKjxo1Su6++25NRWrbtq1MmzbNa/GsOVqPjoE1zaZ169Ya1Od36g1EGahDSERERERErsWceiIiIiIil2NQT0RERETkcsypp4iF/Lo5c+bIihUrdNV7uXLlpFu3bnLffffl966FtZ07d8qgQYP0EtnmhTnoN2bd4i+++EL27dunv9esWVPzVZs2bRrxTXXw4EGtHoE6z0WLFpWOHTvK8OHDpUiRIhHfNnarVq3Sz6ddu3bpNUCqVq0qvXv3ll69emneL/n3888/a3udOHFCXnvtNalXrx6bzIf3339f3nzzTT0/ixcvLtdee61eaZXchUE9RSQEWg899JDWph06dKhUrlxZa9Lih3zDEpzJkydL6dKl9QuTcsKlxLHwClcYxKKr2NhYXUSFKgqomGAtkRaJV52+//77tfQbjqOffvpJAwcErE899VR+717YQecQn00jRoyQsmXLyqZNm2TKlCly5MgRrdhB/s2ePVs/68m/V155RV5//XW55557NJg/e/aslnMk92FQTxFpyZIlOvqFVez4sqTgLF26VE6fPi3du3eXN954g83mADMYaCfrhdiaN28uhw4d0iAtkoP6d999VwMGBBClSpXSbej0jBs3TgMKXIqdfoMODzrQpsaNG2tn+q233tLOUUGuVHK5Dhw4IG+//bZeLOjZZ5/N790JW/v379croz7//PP6OWVC9RdyH87fUcQG9e3bt2dAn8tR1pdeekmvnodAjJyZV2W0Qi3jWrVqSUpKSkQ3G0b/kIJkBvTQrl07DU6RrkTerAG9qXbt2jobhM4R+YYZjdtvv10SExPZTH5gFvGqq67yCujJvRjUU8TJzMzUUfqKFSvK448/Li1bttQ6s7joBEahydnMmTOlbt26ET3SfKmys7Nl69atET8SjVFB+2g8AnrkiuM2Cuybb77RS9Q7Bfz021qE7777ToYMGcImCWD79u1yzTXXaKrSLbfcosE91pXt3r2bbedCDOop4iB/F3mWWDh1/vx5vcDE6NGjZePGjfLYY4/l9+6FJXzAI6UEo/SUe+YCtLvuuiuimw+jy7ikuh22ceQ5sB07duh52L9/f50RIucCCEhbwhqW+Ph4NlEAJ0+elA0bNuiC7EcffVRnONCGaD/MzpK7cA6dCgQE5/hwCqRKlSo6amoGElisFxcXp78XK1ZMHnnkER25wGKhgiw37YX2QTuhisTVV18tkSg37WXPc968ebO88MILMmDAAGnYsOEV3Ev34jUQA8Pxh8+n+vXrS3Jych68K+6EimZYJ4VKZhTcuYd1GviMx4g9YEYW66YWL16slc7IPRjUU4GwevVqeeKJJwLeb9GiRZ4cywYNGngCemjSpIn+izKEBT2oz017YcEZUiMmTpzoGbnJyMjQf/E7glgsDi3IctNeyHk2IQXg4YcfljZt2mgFk0iHtQZOo3/oNHGRrG9oHxw/KPuJCkpc0+Lsxx9/1MXoGG2+cOGCbktLS9N/EbjiB4M35H1OohNkBvSA8s4YwMF3IbkLg3oqEDAqk5uRGZSJ8yUS6j/npr3WrFmjqRFO90eFBIzkPPDAA1KQ5fb4gh9++EHrr9epU0eefPJJXSwb6RC423Pn0UFEW2FkkHLColikvaH8J0qlWhcZkzeU+sSaKVS8sUPpYgzWzJ8/n81mOyedSjljBD8SvgsLGgb1FJFatWola9eu1YDCTJdAXiEkJSXl896FFwSzjRo18tq2bNky+eSTT7QMGmqOU85UCeSkYgQMF1qyzghFshYtWmh6BBakm8EpZkFwHmLBOnn75ZdfZMyYMbJnzx559dVX/Q5G0K+VgWbNmuXVFGg7zG4gXxypS5TzuxCf53v37tWL5AEu1oUZWqYwuQ+DeopIAwcO1IVBo0aNkr59+2qpQZRrRJqENX2Cfs0Tx489TxyjOKibTd6wyAypEqmpqXqBM/vI9HXXXRexTYYSg6ixjpQkVCYxLz7VuXNnpt84mDRpkl61GccTjqtt27Z5jbByIag3rJPy9ZmEPHHMmlHO2Va0C9Zr4NoHGIBABxLVlXr27MnmcpkogyuUKELt3LlTA4pvv/1Wc1VRLxvTtrhENgW+AiFyVxFwkLejR4/6TSXBVUEjGaoAIecZpRlx3nXs2FHTt/D/5A0jpcgTd4IRaXaqA8P5htQbVDurV68eDzEH6FxjNmPdunU6O4QF/Uj5itTCCG7GoJ6IiIiIyOW4CoKIiIiIyOUY1BMRERERuRyDeiIiIiIil2NQT0RERETkcgzqiYiIiIhcjkE9EREREZHLMagnIiIiInI5BvVERERERC7HoJ6ICoQJEyZIVFSUHDhwIL93RU6cOCElS5aUf/7zn55t2C/sH/aTCFfrbNOmzSU3BP6WV/zMafjw4VK3bl29MipRpGFQTxTGEBw+8sgjcu2110pCQoIGiklJSdKvXz9ZvHhxji/5IkWK+HysqVOnalC5Zs0ax9vPnDkjxYoV0/vMnz/f5+MgkMB9zJ9ChQrptiFDhsjhw4cv49UWHI8//riUKVNG/vjHP0qkQGfl/fffz+/doDz0zTff6Pue1x1pfIbheU+fPp3jtscee0z3Z9asWXm6T0ThgEE9UZhCgNygQQN5+eWXpUWLFvL3v/9dnnnmGenatav873//k7lz54b0+V5//XVJT0+Xa665RubMmeP3vpUrV5Z//etf+vP8889Ls2bNdH/w78mTJyWSHTlyRNti2LBhEhcX59memJgoaWlpMm7cOCmInnjiCQb1ERjU433Pj6Aez+sU1FepUkX69u2rn5UcradIE5vfO0BEzqZMmSLHjx+XpUuXSrdu3bxumzFjhvzwww8hbToE8jfddJN+If75z3+W3bt3S+3atR3vW6JECRkwYIDn9/vvv18qVKggL730kga0mF2IVEi5MQxD7rrrLq/tmNXwN5NCRKFx9913y4IFC7ST2bt3bzYrRQyO1BOFqT179ui/bdu2dby9atWqIXuurVu3yubNmyU5OVn69+8vhQsXzvVMQMeOHfXf77//3ud9VqxYocHt9OnTHW+/8cYbpWzZspKRkaG/b9y4UfepVq1amhqEFKSWLVvKe++9F9Q+4W/xfE6wHbfbvfnmm9KqVSt9LjwnZh/eeecdCdZbb70l119/vc5mWDnl1Fu3mX9XtGhRqVmzpsybN0/vc+jQIQ1MkM6Dfbrzzjs1VcrpdaakpMjAgQO1DbHv7dq10/fVbubMmdKhQwe56qqrNH0K+4pOmq8R19WrV0uXLl30cdEx+d3vfieDBw/WWRmMmpptjEDKTMsKJt/71KlTMmLECKlevbruB0ZZkcb1448/et3PfA6khc2ePVvq1aunxyhmPyZPnhzweULZ1rB9+3a5/fbbpVy5crof6Pw++eSTcvHixRz33blzp7ZdfHy8lCpVSnr06CH79u3zuZ+rVq3S9wb3RVtjti4UqSR4jY0bN/acR/hcWblyZdDnBdremr6H+5jpZXgs8303j29zjcu3336r73GlSpX09TRt2lQ++eQTr8f2t97EvlYGaYYYpYcaNWp4nteaMoj7FC9eXM9lokjCkXqiMIXACV599VV58MEHfQandr7SX37++Weff4NACV+CCGgQfHTv3l1ee+01efrppyU2NriPie+++07/RaDjC4IVBJB47JEjR3rdtn//fvniiy901B8BHiB4R+cGHQ10YhAEInDs1auXLFq0SIOuUEJqDF5zp06d5KmnnpKYmBjdhz59+ugsBFJqAq2B2LVrl8505MayZcvklVde0deOgBIdqnvuuUfTd7BPN998s6YT/Pe//9XbEBw5dbqw3/h7BELHjh3TfW7durV8+eWXGhyapk2bpildt9xyiwaPCFJxDHz22Weybds2Dd5N5n5Vq1ZNXxcCcAS/H3zwgc4WYVEi0rAwOopO2X333ad/h+PIn7Nnz2rnCTNCgwYN0mAP+4HnQ7CJ11qxYkWvv/nHP/6hbYzAH+tLFi5cKH/961/12Aj2WLjctkbqG2a0oqOj9XjAc3/88ccyfvx4Wb9+vSxfvlxvM49pvEace2g7nNOffvqpBsFO5yNmeYYOHSrNmzeXsWPHahsiAMa+orOM2btLgTzzZ599Vho1aqTHNdLsMDOH4wXvnX1WKRh/+tOftEODfcbj4zgA63EG6GTiPML7dO7cOW37zp07y4cffqifB7mFdsH7hvMSM5bm5w2OZxOer0mTJrJ27VqdNQv2s5PI9QwiCkvff/+9UaJECQOnabVq1Yw777zTmDFjhrFp0ybH+7du3VrvG+hn9erVXn+Xnp5ulClTxhg4cKBn2/Lly/W+S5YsyfE8iYmJRs2aNY2UlBT92bdvnzF37lyjZMmSRkxMjLFlyxa/r2vUqFH62Pb7TZgwQbdv2LDBs+38+fM5/v7ChQtGrVq1jLp163ptHz9+vP79/v37PdsGDRqk25xgO243oV2xbcyYMTnu26NHDyMhIcE4e/as39f22Wef6WNMmzYtx23YL9yG/bRvK168uHHo0CHPdrRrkSJFjKioKOO5557zepyePXsasbGxxrlz53K8TtyWnZ3t9ZrwGO3bt/d6DKd2XbVqlT7GpEmTPNsOHz5sFCpUyKhXr55x5syZHH+TlZXlsz0DGTt2rP6N/fUtXLhQt997772ebThmsa1y5cpGamqq17FQrlw5o3nz5gGfL1Rt3bJlSyM6OtrYvHmz132xv3j8RYsWebb1799ft61YscLrvsOGDdPtOGdNR48eNQoXLmz069cvx76PGDFCn3Pv3r2ebfhbnIuB7N69W19bs2bN9Fw3nTx50qhUqZJRunRpr+PB1/s4b968HJ8fTtvs52PTpk2Nixcveh1TeA+SkpI8x6rTueHvvHbaZjd48GC9z7FjxwK2EVFBwfQbojCFUb0tW7boCF92drYuZH3ooYd0Ch2jYU5pFRhtxMie0485gmqHEa+ffvrJa8odqTQYUfe1YHbv3r1Svnx5/cF+YqSzdOnS8u677+YYqbPDqCxgtN4Ko6516tTREVsTZg9MGNnESD3+RVoJ0how2hsqaF9zZBGzHdYfzFxglBEjsf4g/QUwkpgbt912m46EmzD6iJQjjPhi5NYKo+FYAOiUKoO1DNZRSYzMYjQeI/DWtjLbFccV0kvwGn//+9/r6PeGDRs893v77bc1FQrVfLCOws4ckb4UOO7QTvZZDYy4IyXGKcUK6R6YWTAhlQSj2uYs0ZVua7y/mE1COk3Dhg297os2ArMqFdoWsxloV4yIW2Fk2w4pXkjfwWu0H39YU4PHwyh/bi1ZskRHq3FsYGTdhNkYtH1qaqqmV10p+MwyZ94AMxuYGcB7htScK8WcbcLMDlGkYPoNURhDXjKq3+AHecYIKpF+gsWzqIKDL0VrAInApH379j4rVThB4I7gHF+2CNZNCAYR6CKNA/mwVgiKzJQEMycbgVgw09woz3nDDTfoY0+aNEmnyhEo4bmRImCFL2SkRCAwcfpyRvULp2DzUqCTAMjX9gULl/0xX/+vA57BQ26wHTpJaFdrIGZuB3Rw7MwUCCu8HqSzIBUEASYgyEcOOAJ4pGJYIcgzmcGy+XehhLxy5LVbKwSZbVi/fn19z9ERsb6/ZkqaPXhzaosr0dZmLjz2zw7nBDpF5n1wvJ4/f97xPcHaAdzX6fgz16ZcyvHnxN8+X3fddV73uRJ8HZOAlCJ8HlwJ5jnI1BuKJAzqiVwCQQdyyfGD0cx///vfmpdqrUKTWxiBxOgfvgAxWukEnQjkw1phhNRX5yEYGK3HOgHMIGAUE6P26JBYXwtGJtGxQI46FtohRxaBEDoBWPSHTgHu44+vL3SnUndmEIA2tQeaJqfAyAqdI3tgHAy8ptxsz03HwR7cYPExcpnRCUOZVAS5WDCK23H9A2ub5rZzEiq+ntdfe+RFW19KewQbVJqPjWPb1yJ4p05NsI+b29vsLrU8pNPrtx+T/troUp8Xs4/Wc5IoEjCoJ3KhP/zhDxrUoyb65UAAgS9YLF5zShnBaC5G5O1B/eVCp2T06NEazGPRIKqRIKXGGsxgwSaq8vztb3/zVLswYVFnMMzXhC946+tzGplEp+ajjz7SfTBHMHMLQT8CFOuMR17CaC/SUezb0GEyq9HguMnKytJKRNZR6wsXLuTojJglTTHL4zTiejkQoGIRdGZmZo5O1I4dOzQtJlSzMKGCaziAU9oIFg0jlcm8D0q8YqErXovd0aNHc1TVMTvVmHm4nA6zv322l6g1X4d5H8B5YgbEVk7nTDAdFrx+e0qeOSthdlKs52montdMEcT7QBQpmFNPFKaQ54qLFdmZubqBUkUCweOgDBweA/n2qHxj/0HuKwKvdevWSSjhyxYVMFBHGlVskEZj5trbR07to4mokBJsSUszUEKZQCtUf7EzZwmQ7+w0OhhMbi5eF9oTo+H5AeUdre2FSi147egwmQGyr3ZFxRf7zAeOAaRXTZw40XH9gvUxEMDmZoaiZ8+eGsShQ2n1xhtvaECGGalwg/cXJVUxm2NPZ0PVJDD3Gx0prMXAuhh0Fu1tbYcKS0j/QeUip8o46AQ4lcwMZg0BgmBcUdosFQtoe5Q2RYoRSkBazxmk+Vn3Ae+rWfbTyqxw5O99R4Ua6/Oi84NZNjyPOfOFEptI8UNamPWYQkDvdJXiQM+LTuumTZu0ShHTbyiScKSeKEwh8ESuOXLnseARqSfIb8diVCySxQg3FuxdKqS+oDQhRsJ9QS3uMWPGaN49SvOFEoJ4rA3AQjp8SduDOIwM40sfgSoCDIwyooOBIBB5uAhYA0EpTATp6LQgjQejoBihdir7ifQezAigNCFyve+44w7NfcZaBrQ3AjlrcOILgjOUDcTf2WvVX2kHDx7UnGwEk3h+lLREao21E4NgGoHWrbfequ2CoB3HAmZF7OVIMWvx3HPPaelGzF5gETFqw2OGCDnvmMVBWwHq+aMDgbKLyC/HYlz7RdOssHATi0ORWvX1119r+5slLfG8mCUKRy+88IIGiygVinZBrX+sWcCxjLbHxdtM6AwhoEeb475mSUsEnE5tjZKdKNeJY99sayzOxawVgluMegdT/98qKSlJz2GsV0GHBOeEWdISnyeYLbMuSB8+fLh2cNERRJlSdLhRVhf7gvtbYdE+Oi94bATYSMvDuWnNk0cHGQuO8bxYbI6a+xisePHFF70Cbjwv1s+gs4+OCGYzcF88FsqLWuFYg0cffdRzXQ1sM2eeUEsfM084h4kiSn6X3yEiZ+vXrzdGjhxpNG7c2KhQoYKW1kPZSJTvQ8lEa3k6s8QdSuL5MmXKFK/yc3369NHft27d6vctaNCggZagM8s5ooxe7dq1L/ttQ5k7lNLEPiQnJzve58CBA0bv3r21bGHRokWNJk2aGIsXL85VmbuvvvrKaNGihbZN2bJltfQgyiL6Kt23bNkyo0OHDlrqD+Ucq1atanTq1MmYOXNmUK/ryJEj+l5NnTo16JKWTqX8fJUsdCojaJa0PHHihDFgwABtV7RX27ZtHUugvvfee0bDhg2NYsWKaZv07dvXOHjwoD6ftcyi6eOPP9aymCixinasUaOGMWTIEC2LaNq1a5fRrl07Iz4+XvclmHKL+Pvhw4drG8fFxWmJRZQiRBtamSUt8drt/JUttQpVW8O2bdu03CXaGfuN8owoyWo/J2HHjh3GrbfequcQ2q979+5artZXW69bt8647bbbjPLly+tjo4xnmzZt9HhKS0sLuM++zJkzR99zlO/EvuDvP/roI8f7Tp482ahevboe/3Xq1NG/9dUWuA0lZnHMW9vXPB+3b9+u73HFihX12ME5vHLlyhzPmZmZaYwePVqPAdzvhhtuMJYuXerzvH766ad1H1FG135s4JjA42RkZATdPkQFQRT+k98dCyKiggSlETF6iwsr+Vp0G0ooR4oFzfw4p3CBNCLMfKHqUm5nFy4HZqiwRgCVtR544IE8e16icMCceiKiEEPqCMogOuUhE9GVg/UKSBXCVXiJIg1z6omIQgwVN+zVTYjoykOuPlGk4kg9EREREZHLMaeeiIiIiMjlOFJPRERERORyDOqJiIiIiFyOQT0RERERkcsxqCciIiIicjkG9URERERELsegnoiIiIjI5RjUExERERG5HIN6IiIiIiKXY1BPRERERCTu9n/VnCpU77hYOQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 800x710 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# SHAP Summary Plot \n",
    "plt.figure(figsize=(10, 6))\n",
    "shap.summary_plot(shap_values, X_sample, show=False)\n",
    "plt.title(\"SHAP Summary Plot\", fontsize=14, fontweight='bold')\n",
    "plt.tight_layout()\n",
    "plt.savefig('shap_summary.png', dpi=300, bbox_inches='tight')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "78cdbc5f-2d0d-4aa0-a716-09c006c34f0c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x650 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# SHAP visualization\n",
    "fraud_idx = y_test[y_test == 1].index[0]\n",
    "fraud_sample = X_test.loc[[fraud_idx]]\n",
    "\n",
    "shap_single = explainer.shap_values(fraud_sample)\n",
    "\n",
    "plt.figure(figsize=(10, 8))\n",
    "shap.plots.waterfall(\n",
    "    shap.Explanation(\n",
    "        values=shap_single[0],\n",
    "        base_values=explainer.expected_value,\n",
    "        data=fraud_sample.iloc[0],\n",
    "        feature_names=X_test.columns.tolist()\n",
    "    ),\n",
    "    show=False\n",
    ")\n",
    "plt.title(\"Fraud Case Explanation\", fontsize=14, fontweight='bold')\n",
    "plt.tight_layout()\n",
    "plt.savefig('shap_waterfall.png', dpi=300, bbox_inches='tight')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "3a611eb9-06b9-44ea-b122-541941d2e21d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1400x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Model Comparison Visualization\n",
    "fig, axes = plt.subplots(1, 2, figsize=(14, 5))\n",
    "\n",
    "models = ['RF\\nBaseline', 'RF\\nCost-Sens', 'XGB\\nBaseline', 'XGB\\nCost-Sens', 'XGB\\nOptimal']\n",
    "costs = [total_cost, total_cost2, total_cost4, total_cost5, total_cost6]\n",
    "recalls = [tp/(tp+fn), tp2/(tp2+fn2), tp4/(tp4+fn4), tp5/(tp5+fn5), tp6/(tp6+fn6)]\n",
    "\n",
    "# Cost comparison\n",
    "colors = ['red', 'green', 'orange', 'blue', 'purple']\n",
    "axes[0].bar(models, costs, color=colors)\n",
    "axes[0].set_ylabel('Total Cost ($)', fontsize=12)\n",
    "axes[0].set_title('Cost Comparison', fontsize=14, fontweight='bold')\n",
    "for i, v in enumerate(costs):\n",
    "    axes[0].text(i, v + 5000, f'${v:,}', ha='center', fontsize=9)\n",
    "\n",
    "# Recall comparison\n",
    "axes[1].bar(models, recalls, color=colors)\n",
    "axes[1].set_ylabel('Recall', fontsize=12)\n",
    "axes[1].set_title('Recall Comparison', fontsize=14, fontweight='bold')\n",
    "for i, v in enumerate(recalls):\n",
    "    axes[1].text(i, v + 0.02, f'{v:.2f}', ha='center', fontsize=9)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig('model_comparison.png', dpi=300, bbox_inches='tight')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "6ed6cb2c-aa7f-44fb-b352-140bf8c33acf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Threshold Analysis Visualization\n",
    "fig, axes = plt.subplots(1, 2, figsize=(14, 5))\n",
    "\n",
    "# Cost vs Threshold\n",
    "axes[0].plot(thresh_df['Threshold'], thresh_df['Cost'], 'b-o', linewidth=2, markersize=8)\n",
    "axes[0].axvline(x=0.7, color='r', linestyle='--', label='Optimal (0.7)')\n",
    "axes[0].set_xlabel('Threshold', fontsize=12)\n",
    "axes[0].set_ylabel('Total Cost ($)', fontsize=12)\n",
    "axes[0].set_title('Cost vs Threshold', fontsize=14, fontweight='bold')\n",
    "axes[0].legend()\n",
    "axes[0].grid(True, alpha=0.3)\n",
    "\n",
    "# Recall vs Threshold\n",
    "axes[1].plot(thresh_df['Threshold'], thresh_df['Recall'], 'g-o', linewidth=2, markersize=8)\n",
    "axes[1].axvline(x=0.7, color='r', linestyle='--', label='Optimal (0.7)')\n",
    "axes[1].set_xlabel('Threshold', fontsize=12)\n",
    "axes[1].set_ylabel('Recall', fontsize=12)\n",
    "axes[1].set_title('Recall vs Threshold', fontsize=14, fontweight='bold')\n",
    "axes[1].legend()\n",
    "axes[1].grid(True, alpha=0.3)\n",
    "\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "37ca6767-9fa1-4df9-9a80-c4472961dc75",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:base] *",
   "language": "python",
   "name": "conda-base-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
