{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "dcfc86c4-016e-491c-bcb9-a83e422fe662",
   "metadata": {},
   "outputs": [],
   "source": [
    "#importing the libraries\n",
    "\n",
    "#Data Processing Libraries\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "#Data Vizualization Libraries\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "# Machine Learning Library\n",
    "from category_encoders import OrdinalEncoder, OneHotEncoder\n",
    "from sklearn.impute import SimpleImputer # Imputer Class to replace missing values\n",
    "from sklearn.metrics import confusion_matrix # Library for model evaluation\n",
    "from sklearn.metrics import accuracy_score # Library for model evaluation\n",
    "from sklearn.model_selection import train_test_split # Library to split datset into test and train\n",
    "\n",
    "from sklearn.linear_model  import LogisticRegression # Logistic Regression Classifier\n",
    "from sklearn.linear_model import SGDClassifier # Stochastic Gradient Descent Classifier\n",
    "from sklearn.tree import DecisionTreeClassifier # Decision Tree Classifier\n",
    "from sklearn.ensemble  import RandomForestClassifier # Random Forest Classifier\n",
    "from sklearn.neighbors import KNeighborsClassifier # K Nearest neighbors Classifier\n",
    "from sklearn.naive_bayes import GaussianNB #Naive Bayes Classifier\n",
    "from sklearn.svm import SVC #Support vector Machine Classifier\n",
    "from sklearn.ensemble import AdaBoostClassifier # Ada Boost Classifier\n",
    "from sklearn.metrics import accuracy_score, f1_score, precision_score, recall_score, classification_report, confusion_matrix\n",
    "from sklearn.model_selection import cross_val_score"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "facf83da-c514-4c8a-ba97-889b463e1fc3",
   "metadata": {},
   "source": [
    "### Load dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "876bf9a7-98ae-4608-9764-1e7af706c971",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>SeniorCitizen</th>\n",
       "      <th>tenure</th>\n",
       "      <th>MonthlyCharges</th>\n",
       "      <th>TotalCharges</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>7032.000000</td>\n",
       "      <td>7032.000000</td>\n",
       "      <td>7032.000000</td>\n",
       "      <td>7032.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>0.162400</td>\n",
       "      <td>32.421786</td>\n",
       "      <td>64.798208</td>\n",
       "      <td>2283.300441</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.368844</td>\n",
       "      <td>24.545260</td>\n",
       "      <td>30.085974</td>\n",
       "      <td>2266.771362</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>18.250000</td>\n",
       "      <td>18.800000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>9.000000</td>\n",
       "      <td>35.587500</td>\n",
       "      <td>401.450000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>29.000000</td>\n",
       "      <td>70.350000</td>\n",
       "      <td>1397.475000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>55.000000</td>\n",
       "      <td>89.862500</td>\n",
       "      <td>3794.737500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>72.000000</td>\n",
       "      <td>118.750000</td>\n",
       "      <td>8684.800000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       SeniorCitizen       tenure  MonthlyCharges  TotalCharges\n",
       "count    7032.000000  7032.000000     7032.000000   7032.000000\n",
       "mean        0.162400    32.421786       64.798208   2283.300441\n",
       "std         0.368844    24.545260       30.085974   2266.771362\n",
       "min         0.000000     1.000000       18.250000     18.800000\n",
       "25%         0.000000     9.000000       35.587500    401.450000\n",
       "50%         0.000000    29.000000       70.350000   1397.475000\n",
       "75%         0.000000    55.000000       89.862500   3794.737500\n",
       "max         1.000000    72.000000      118.750000   8684.800000"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('telco.csv')\n",
    "df.describe()\n",
    "#df[df['TotalCharges'] == ' '].index"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ab207ef8-ab57-4b6c-9234-47b84a4cc59f",
   "metadata": {},
   "source": [
    "### Exporatory Data Analysis (EDA)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "e2dfd307-e88e-4413-b58d-820e48e57877",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='Churn', ylabel='count'>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "sns.countplot(x=df['Churn'], hue=df['Churn'], palette = 'Set1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "9349411d-9d53-4ada-a731-27f3021b06cf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='tenure', ylabel='Count'>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "sns.histplot(df, x='tenure', hue='Churn', multiple='stack', palette = 'Set1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "352e5c5b-b09e-47b9-aa5a-c1e620f98413",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='MonthlyCharges', ylabel='Count'>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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aCWe+y6sxq49xadBA9Omnn+rOO+9UZGSkbDab3n33XYf9xhglJycrMjJSfn5+6tevn/bu3etQpry8XBMnTlRoaKgCAgI0ePBgHTt2zKFMYWGhRo4cqeDgYAUHB2vkyJH68ccfnXx2AADUDw8PD0lSRUVFA/fEPZWWlkqSvLy86lxHgy6q/umnn3T99dfrwQcf1D333HPW/rS0NM2ZM0fLly9Xu3bt9OKLL6p///76+uuvFRgYKElKSkrS+++/rzVr1qhFixaaMmWKBg0apMzMTPv/QMOHD9exY8fst/D97ne/08iRI/X++++77mQBAKgjT09P+fv768SJE/Ly8lKzZlzgkX6eOCktLVV+fr6uvPJK+8/9umjQQHTbbbed9yFLxhjNmzdPTz/9tIYOHSpJWrFihcLCwrR69WqNHTtWRUVFev3117Vy5UolJiZKklatWqWoqChlZGRo4MCBysrK0vr16/X555+rV69ekqSlS5fqhhtu0Ndff61rr732nO2Xl5ervLzc/r24uLg+Tx0AgFqz2WyKiIhQdna2jhw50tDdcTtXXnmlwsPDL6sOt73tPjs7W3l5eRowYIB9m4+Pj/r27autW7dq7NixyszMVGVlpUOZyMhIderUSVu3btXAgQP12WefKTg42B6GJOmXv/ylgoODtXXr1vMGotTUVM2YMcN5JwgAwCXw9vZWbGwsl83O4OXldVkzQzXcNhDl5eVJksLCwhy2h4WF2dNxXl6evL291bx587PK1Byfl5enli1bnlV/y5Yt7WXOZfr06Zo8ebL9e3FxsaKioup2MgAA1INmzZrJ19e3obvRJLltIKphs9kcvhtjztp2pjPLnKv8xerx8fGRj4/PJfYWAAA0Rm67KqvmWuCZszj5+fn2WaPw8HBVVFSosLDwgmW+//77s+o/ceLEWbNPAADAmtw2EMXExCg8PFzp6en2bRUVFdq8ebN69+4tSYqPj5eXl5dDmdzcXO3Zs8de5oYbblBRUZG2bdtmL/PFF1+oqKjIXgYAAFhbg14yO3nypA4dOmT/np2drV27dikkJETR0dFKSkpSSkqKYmNjFRsbq5SUFPn7+2v48OGSpODgYI0ZM0ZTpkxRixYtFBISoqlTpyouLs5+11mHDh1066236pFHHtFrr70m6efb7gcNGnTeBdUAAMBaGjQQ7dixQzfffLP9e80i5lGjRmn58uV68sknVVZWpnHjxqmwsFC9evXShg0b7M8gkqS5c+fK09NTw4YNU1lZmRISErR8+XKHFedvvvmmJk2aZL8bbfDgwVqwYIGLzhIAALg7m+E54LVSXFys4OBgFRUVKSgoqN7q3blzp+Lj45VxS6I6n3G3XH35qrBQiR9nKDMzU926dXNKGwAAuKPa/vx22zVEAAAArkIgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlufWgaiqqkrPPPOMYmJi5Ofnp7Zt22rmzJmqrq62lzHGKDk5WZGRkfLz81O/fv20d+9eh3rKy8s1ceJEhYaGKiAgQIMHD9axY8dcfToAAMBNuXUgmjVrlhYvXqwFCxYoKytLaWlpeuWVVzR//nx7mbS0NM2ZM0cLFizQ9u3bFR4erv79+6ukpMReJikpSevWrdOaNWu0ZcsWnTx5UoMGDdLp06cb4rQAAICb8WzoDlzIZ599prvuukt33HGHJKlNmzZ66623tGPHDkk/zw7NmzdPTz/9tIYOHSpJWrFihcLCwrR69WqNHTtWRUVFev3117Vy5UolJiZKklatWqWoqChlZGRo4MCB52y7vLxc5eXl9u/FxcXOPFUAANCA3HqG6MYbb9TGjRt14MABSdK///1vbdmyRbfffrskKTs7W3l5eRowYID9GB8fH/Xt21dbt26VJGVmZqqystKhTGRkpDp16mQvcy6pqakKDg62f6KiopxxigAAwA249QzRtGnTVFRUpPbt28vDw0OnT5/WSy+9pPvuu0+SlJeXJ0kKCwtzOC4sLExHjhyxl/H29lbz5s3PKlNz/LlMnz5dkydPtn8vLi4mFAEA0ES5dSB6++23tWrVKq1evVodO3bUrl27lJSUpMjISI0aNcpezmazORxnjDlr25kuVsbHx0c+Pj6XdwIAAKBRcOtA9MQTT+ipp57SvffeK0mKi4vTkSNHlJqaqlGjRik8PFzSz7NAERER9uPy8/Pts0bh4eGqqKhQYWGhwyxRfn6+evfu7cKzAQAA7sqt1xCVlpaqWTPHLnp4eNhvu4+JiVF4eLjS09Pt+ysqKrR582Z72ImPj5eXl5dDmdzcXO3Zs4dABAAAJLn5DNGdd96pl156SdHR0erYsaO+/PJLzZkzRw899JCkny+VJSUlKSUlRbGxsYqNjVVKSor8/f01fPhwSVJwcLDGjBmjKVOmqEWLFgoJCdHUqVMVFxdnv+sMAABYm1sHovnz5+vZZ5/VuHHjlJ+fr8jISI0dO1bPPfecvcyTTz6psrIyjRs3ToWFherVq5c2bNigwMBAe5m5c+fK09NTw4YNU1lZmRISErR8+XJ5eHg0xGkBAAA3YzPGmIbuRGNQXFys4OBgFRUVKSgoqN7q3blzp+Lj45VxS6I6n3EnXH35qrBQiR9nKDMzU926dXNKGwAAuKPa/vx26zVEAAAArkAgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAlkcgAgAAllenQNS2bVv95z//OWv7jz/+qLZt2152pwAAAFypToHo8OHDOn369Fnby8vLdfz48cvuFAAAgCt5Xkrh9957z/7njz76SMHBwfbvp0+f1saNG9WmTZt66xwAAIArXFIguvvuuyVJNptNo0aNctjn5eWlNm3aaPbs2fXWOQAAAFe4pEBUXV0tSYqJidH27dsVGhrqlE4BAAC40iUFohrZ2dn13Q8AAIAGU6dAJEkbN27Uxo0blZ+fb585qvHGG29cdscAAABcpU6BaMaMGZo5c6a6d++uiIgI2Wy2+u4XAACAy9QpEC1evFjLly/XyJEj67s/AAAALlen5xBVVFSod+/e9d0XAACABlGnQPTwww9r9erV9d0XAACABlGnS2anTp3SkiVLlJGRoc6dO8vLy8th/5w5c+qlcwAAAK5Qp0D01VdfqUuXLpKkPXv2OOxjgTUAAGhs6hSINm3aVN/9AAAAaDB1WkMEAADQlNRphujmm2++4KWxjz/+uM4dAgAAcLU6BaKa9UM1KisrtWvXLu3Zs+esl74CAAC4uzoForlz555ze3Jysk6ePHlZHQIAAHC1el1DNGLECN5jBgAAGp16DUSfffaZfH1967NKAAAAp6vTJbOhQ4c6fDfGKDc3Vzt27NCzzz5bLx0DAABwlToFouDgYIfvzZo107XXXquZM2dqwIAB9dIxAAAAV6lTIFq2bFl99wMAAKDBXNYaoszMTK1atUpvvvmmvvzyy/rqk4Pjx49rxIgRatGihfz9/dWlSxdlZmba9xtjlJycrMjISPn5+alfv37au3evQx3l5eWaOHGiQkNDFRAQoMGDB+vYsWNO6S8AAGh86hSI8vPzdcstt6hHjx6aNGmSJkyYoPj4eCUkJOjEiRP11rnCwkL16dNHXl5e+vDDD7Vv3z7Nnj1bV155pb1MWlqa5syZowULFmj79u0KDw9X//79VVJSYi+TlJSkdevWac2aNdqyZYtOnjypQYMG6fTp0/XWVwAA0HjVKRBNnDhRxcXF2rt3r3744QcVFhZqz549Ki4u1qRJk+qtc7NmzVJUVJSWLVumnj17qk2bNkpISNAvfvELST/PDs2bN09PP/20hg4dqk6dOmnFihUqLS3V6tWrJUlFRUV6/fXXNXv2bCUmJqpr165atWqVdu/erYyMjPO2XV5eruLiYocPAABomuoUiNavX69FixapQ4cO9m3XXXedXn31VX344Yf11rn33ntP3bt3129+8xu1bNlSXbt21dKlS+37s7OzlZeX57CQ28fHR3379tXWrVsl/XxZr7Ky0qFMZGSkOnXqZC9zLqmpqQoODrZ/oqKi6u28AACAe6lTIKqurpaXl9dZ2728vFRdXX3Znarx7bffatGiRYqNjdVHH32kRx99VJMmTdJf/vIXSVJeXp4kKSwszOG4sLAw+768vDx5e3urefPm5y1zLtOnT1dRUZH9c/To0Xo7LwAA4F7qdJfZLbfcoscff1xvvfWWIiMjJf28+Pn3v/+9EhIS6q1z1dXV6t69u1JSUiRJXbt21d69e7Vo0SI98MAD9nJnvmjWGHPBl8/WpoyPj498fHwuo/cAAKCxqNMM0YIFC1RSUqI2bdroF7/4ha655hrFxMSopKRE8+fPr7fORURE6LrrrnPY1qFDB+Xk5EiSwsPDJemsmZ78/Hz7rFF4eLgqKipUWFh43jIAAMDa6hSIoqKitHPnTv3zn/9UUlKSJk2apA8++ECZmZlq1apVvXWuT58++vrrrx22HThwQK1bt5YkxcTEKDw8XOnp6fb9FRUV2rx5s3r37i1Jio+Pl5eXl0OZ3Nxc7dmzx14GAABY2yVdMvv44481YcIEff755woKClL//v3Vv39/ST/fzdWxY0ctXrxYv/rVr+qlc7///e/Vu3dvpaSkaNiwYdq2bZuWLFmiJUuWSPr5UllSUpJSUlIUGxur2NhYpaSkyN/fX8OHD5f081O1x4wZoylTpqhFixYKCQnR1KlTFRcXp8TExHrpJwAAaNwuKRDNmzdPjzzyiIKCgs7aFxwcrLFjx2rOnDn1Foh69OihdevWafr06Zo5c6ZiYmI0b9483X///fYyTz75pMrKyjRu3DgVFhaqV69e2rBhgwIDA+1l5s6dK09PTw0bNkxlZWVKSEjQ8uXL5eHhUS/9BAAAjZvNGGNqW7h169Zav369w+32/23//v0aMGCAfY1PU1JcXKzg4GAVFRWdMxDW1c6dOxUfH6+MWxLV+Yw74erLV4WFSvw4Q5mZmerWrZtT2gAAwB3V9uf3Ja0h+v777895u30NT0/Pen1SNQAAgCtcUiC6+uqrtXv37vPu/+qrrxQREXHZnQIAAHClS1pDdPvtt+u5557TbbfdJl9fX4d9ZWVlev755zVo0KB67SAAoPZycnJUUFDg1DZCQ0MVHR3t1DYAV7ukQPTMM89o7dq1ateunSZMmKBrr71WNptNWVlZevXVV3X69Gk9/fTTzuorAOACcnJy1KF9e5WWlTm1HX8/P2Xt308oQpNySYEoLCxMW7du1WOPPabp06erZj22zWbTwIEDtXDhQh52CADn4ezZm6ysLJWWlWlhj55qF1h/N3/8twMlxRq3fZsKCgoIRGhSLvnVHa1bt9YHH3ygwsJCHTp0SMYYxcbGnvWuMADA/3HV7I0ktfH1cdpdq0BTVad3mUlS8+bN1aNHj/rsCwA0WQUFBU6fvcnIy9XL+/aqqqrKKfUDTVmdAxEA4NK1Cwxy2uzNwZJip9QLWEGd3mUGAADQlBCIAACA5XHJDABwybKyspxaP886gqsRiAAAtfb9qVOySRoxYoRT2+FZR3A1AhEAoNaKKytkJM2J66zOV7V0Shs86wgNgUAEALhk11wRwLOO0KSwqBoAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFge7zIDAEk5OTkqKChwWv1ZWVlOqxvA5SMQAbC8nJwcdWjfXqVlZU5vq6Ky3OltALh0BCIAlldQUKDSsjIt7NFT7QKDnNJGRl6uXt63V1VVVU6pH8DlIRABwP9qFxikzs2bO6XugyXFTqkXQP1gUTUAALA8AhEAALA8LpkBANySs+/MCw0NVXR0tFPbQONBIAIAuJXvT52STdKIESOc2o6/n5+y9u8nFEESgQgA4GaKKytkJM2J66zOV7V0ShsHSoo1bvs2FRQUEIggiUAEAHBT11wR4LS7/oAzsagaAABYHoEIAABYHoEIAABYHoEIAABYHoEIAABYHoEIAABYHrfdAwAsi6dhowaBCABgOTwNG2ciEAEALIenYeNMBCILYWoYABzxNGzUIBBZAFPDAABcGIHIApgaBgDgwhrVbfepqamy2WxKSkqybzPGKDk5WZGRkfLz81O/fv20d+9eh+PKy8s1ceJEhYaGKiAgQIMHD9axY8dc3PuGVzM17IxPu8Cghj49AADqrNEEou3bt2vJkiXq3Lmzw/a0tDTNmTNHCxYs0Pbt2xUeHq7+/furpKTEXiYpKUnr1q3TmjVrtGXLFp08eVKDBg3S6dOnXX0aAADADTWKQHTy5Endf//9Wrp0qZr/1+I3Y4zmzZunp59+WkOHDlWnTp20YsUKlZaWavXq1ZKkoqIivf7665o9e7YSExPVtWtXrVq1Srt371ZGRkZDnRIAAHAjjSIQjR8/XnfccYcSExMdtmdnZysvL08DBgywb/Px8VHfvn21detWSVJmZqYqKysdykRGRqpTp072MudSXl6u4uJihw8AAGia3H5R9Zo1a7Rz505t3779rH15eXmSpLCwMIftYWFhOnLkiL2Mt7e3w8xSTZma488lNTVVM2bMuNzuAwCARsCtZ4iOHj2qxx9/XKtWrZKvr+95y9lsNofvxpiztp3pYmWmT5+uoqIi++fo0aOX1nkAANBouHUgyszMVH5+vuLj4+Xp6SlPT09t3rxZf/rTn+Tp6WmfGTpzpic/P9++Lzw8XBUVFSosLDxvmXPx8fFRUFCQwwcAADRNbn3JLCEhQbt373bY9uCDD6p9+/aaNm2a2rZtq/DwcKWnp6tr166SpIqKCm3evFmzZs2SJMXHx8vLy0vp6ekaNmyYJCk3N1d79uxRWlqaa08IAGA5vCWgcXDrQBQYGKhOnTo5bAsICFCLFi3s25OSkpSSkqLY2FjFxsYqJSVF/v7+Gj58uCQpODhYY8aM0ZQpU9SiRQuFhIRo6tSpiouLO2uRNgAA9YW3BDQubh2IauPJJ59UWVmZxo0bp8LCQvXq1UsbNmxQYGCgvczcuXPl6empYcOGqaysTAkJCVq+fLk8PDwasOcAgKaMtwQ0Lo0uEH3yyScO3202m5KTk5WcnHzeY3x9fTV//nzNnz/fuZ0DAOAMvEC2cXDrRdUAAACuQCACAACWRyACAACWRyACAACWRyACAACWRyACAACWRyACAACWRyACAACWRyACAACWRyACAACWRyACAACWRyACAACWRyACAACW1+jedg+g9nJyclRQUODUNkJDQxUdHe3UNgDA2QhEQBOVk5OjDu3bq7SszKnt+Pv5KWv/fkIRgEaNQAQ0UQUFBSotK9PCHj3VLjDIKW0cKCnWuO3bVFBQQCAC0KgRiIAG4uzLWVlZWZKkdoFB6ty8udPaAYCmgEAENABXXc6SpIrKcqe3AQCNHYEIaACuuJyVkZerl/ftVVVVlVPqB4CmhEAENCBnXs46WFLslHoBoCniOUQAAMDyCEQAAMDyCEQAAMDyCEQAAMDyCEQAAMDyCEQAAMDyCEQAAMDyCEQAAMDyCEQAAMDyCEQAAMDyCEQAAMDyCEQAAMDyeLkrcA45OTkqKChwWv1ZWVlOq7shOPt8QkNDFR0d7dQ2AFgbgQg4Q05Ojjq0b6/SsjKnt1VRWe70Npzp+1OnZJM0YsQIp7bj7+enrP37CUUAnIZABJyhoKBApWVlWtijp9oFBjmljYy8XL28b6+qqqqcUr+rFFdWyEiaE9dZna9q6ZQ2DpQUa9z2bSooKCAQAXAaAhFwHu0Cg9S5eXOn1H2wpNgp9TaUa64IcNpYAYArsKgaAABYHoEIAABYHoEIAABYHoEIAABYHoEIAABYHneZAQDQyPFw1MtHIALQKDjzH/ym9uRwWAcPR60/BCIAbs1V/+BLrnly+N7//OC0ug8WOq9uuCcejlp/CEQA3Jor/sF3xZPD/WRkkzT9wNdOa6NGdbXTm4Cb4eGol49ABKBRcOY/+K54cniIp6eMpOtuHqqI2Oud0kbuwX9r36a1asbtMsAlIxABgAtFxF6vdr+81Wn179u01ml1A00Zv0cAAADLc+tAlJqaqh49eigwMFAtW7bU3Xffra+/drz+boxRcnKyIiMj5efnp379+mnv3r0OZcrLyzVx4kSFhoYqICBAgwcP1rFjx1x5KgAAwI25dSDavHmzxo8fr88//1zp6emqqqrSgAED9NNPP9nLpKWlac6cOVqwYIG2b9+u8PBw9e/fXyUlJfYySUlJWrdundasWaMtW7bo5MmTGjRokE6fPt0QpwUAANyMW68hWr9+vcP3ZcuWqWXLlsrMzNRNN90kY4zmzZunp59+WkOHDpUkrVixQmFhYVq9erXGjh2roqIivf7661q5cqUSExMlSatWrVJUVJQyMjI0cOBAl58XADgTt/YDl86tA9GZioqKJEkhISGSpOzsbOXl5WnAgAH2Mj4+Purbt6+2bt2qsWPHKjMzU5WVlQ5lIiMj1alTJ23duvW8gai8vFzl5f/3TJLiYuffhQIAl6O6qopb+4E6ajSByBijyZMn68Ybb1SnTp0kSXl5eZKksLAwh7JhYWE6cuSIvYy3t7ean3G7blhYmP34c0lNTdWMGTPq8xQAwKma/e+t/dff/qBCW7VxShvc2o+mqtEEogkTJuirr77Sli1bztpns9kcvhtjztp2pouVmT59uiZPnmz/XlxcrKioqEvsNQC4XmTHnmrToZvT6ufWfjRFjSIQTZw4Ue+9954+/fRTtWrVyr49PDxc0s+zQBEREfbt+fn59lmj8PBwVVRUqLCw0GGWKD8/X7179z5vmz4+PvLx8anvUwGAJoF1Smhq3DoQGWM0ceJErVu3Tp988oliYmIc9sfExCg8PFzp6enq2rWrJKmiokKbN2/WrFmzJEnx8fHy8vJSenq6hg0bJknKzc3Vnj17lJaW5toTAoBGjnVKaKrcOhCNHz9eq1ev1t///ncFBgba1/wEBwfLz89PNptNSUlJSklJUWxsrGJjY5WSkiJ/f38NHz7cXnbMmDGaMmWKWrRooZCQEE2dOlVxcXH2u84AQHLurIcz63YlV65Tyir8wWlrlZiFwpncOhAtWrRIktSvXz+H7cuWLdPo0aMlSU8++aTKyso0btw4FRYWqlevXtqwYYMCAwPt5efOnStPT08NGzZMZWVlSkhI0PLly+Xh4eGqUwHgxlz14lWbJJtn07gU78x1StVVVcratJZZKLiUWwciY8xFy9hsNiUnJys5Ofm8ZXx9fTV//nzNnz+/HnsHoKlw5YtXvQKCnVJ/U8LdcmgIbh2IAMCVePGqe3HF3XIsDkcNAhEAwHJYHI4zEYgAAJbDZTmciUAEALAsHmKJGuRWAABgeQQiAABgeQQiAABgeQQiAABgeQQiAABgeQQiAABgeQQiAABgeTyHCI1KTk6OCgoKnNpGVlaWU+sHALgfAhEajZycHHVo316lZWUuaa+istwl7QBo2nhfWuNAIEKjUVBQoNKyMi3s0VPtAoOc1k5GXq5e3rdXVVVVTmsDQNPH+9IaFwIRGp12gUHq3Ly50+o/WFLstLoBWAfvS2tcCEQAADgR70trHMiUAADA8ghEAADA8rhkBgAALsrZjyQJDQ1VdHS0U9u4EAIR6pUz/8LwfCAAcL3vT52STdKIESOc2o6/n5+y9u9vsFBEIHITX53IV2nZT06p2xXPqXDVXxiJ5wMBgCsVV1bISJoT11mdr2rplDYOlBRr3PZtKigoIBBZVXl5uZpJmrz7K6e35cznVLjiLwzPBwKAhnPNFQFOfeRJQyMQNTAfHx9VS+oxZKyCrop0ShuufE6FM//C8HwgAICzEIjcROvOvXVV6/ZOq5/nVFw6HrcPANZBIALO4CfD4/YBwGIIRMAZQv73cfvX3TxUEbHXO6WNmsuYWYU/OO1SJrNQAFB7BCLgPCJir1e7X97qlLqrq6qUtWkts1AA4CYIREAD4KWPAOBeCERAA+KljwDgHvjdEQAAWB4zREATx+MDAODiCERAE1VdVcXjAwCglghEQBPFwm0AqD0CEdDEsXAbAC6O3+sAAIDlEYgAAIDlEYgAAIDlsYbIQrj9GgCAcyMQWQC3XwNA08YvvJePQGQB3H4NAE0Tv/DWHwKRhbji9mt+SwEA1+EX3vpDIEK9cOVvKXsL/uPc+p0Y6poqgjDQsHje2OUjEKFeuOK3lO/279T+T/+u6QcPSAed0oSdTZLN08e5jTQBTNcDaCoIRKhXzv4tJevTvzs1dEn/Nz3sFRDstDaaCqbrATQVBCI0Os4OXZI1pofrE9P1ABo7AhGARsGZ65RYNwaAQATArblqnRLrxgBrIxABcGuuXKfEujHAuiwViBYuXKhXXnlFubm56tixo+bNm6df/epXDd0tALXAOiWgYTnz0vKhkz85re7askwgevvtt5WUlKSFCxeqT58+eu2113Tbbbdp3759io6ObujuAQDgllx12bqZpPLycqe2cSGWCURz5szRmDFj9PDDD0uS5s2bp48++kiLFi1SampqA/cOAAD35IrL1sUnvtP2da/Jx6fh1vFZIhBVVFQoMzNTTz31lMP2AQMGaOvWrec8pry83CGpFhUVSZKKi4vrtW8nT56UJJ04vF+V5WX1WneNwu8OS5J+yDkobw8bbbhBO7RBG7RBG42tDd/A5roiJMwpbVSVn5L088/E+v45W1OfMebCBY0FHD9+3Egy//M//+Ow/aWXXjLt2rU75zHPP/+8kcSHDx8+fPjwaQKfo0ePXjArWGKGqIbN5piejTFnbasxffp0TZ482f69urpaP/zwg1q0aHHeY5yhuLhYUVFROnr0qIKCglzWrtUwzq7BODsfY+wajLNr1Mc4G2NUUlKiyMjIC5azRCAKDQ2Vh4eH8vLyHLbn5+crLOzc038+Pj5nXcu88sorndXFiwoKCuIvnQswzq7BODsfY+wajLNrXO44BwcHX7SMJd4O5O3trfj4eKWnpztsT09PV+/evRuoVwAAwF1YYoZIkiZPnqyRI0eqe/fuuuGGG7RkyRLl5OTo0UcfbeiuAQCABmaZQPTb3/5W//nPfzRz5kzl5uaqU6dO+uCDD9S6deuG7toF+fj46Pnnn2/QWxGtgHF2DcbZ+Rhj12CcXcOV42wz5mL3oQEAADRtllhDBAAAcCEEIgAAYHkEIgAAYHkEIgAAYHkEIjeQmpqqHj16KDAwUC1bttTdd9+tr792fKuwMUbJycmKjIyUn5+f+vXrp7179zZQj5uG1NRU2Ww2JSUl2bcxzvXj+PHjGjFihFq0aCF/f3916dJFmZmZ9v2M8+WpqqrSM888o5iYGPn5+alt27aaOXOmqqur7WUY40v36aef6s4771RkZKRsNpveffddh/21GdPy8nJNnDhRoaGhCggI0ODBg3Xs2DEXnoX7u9A4V1ZWatq0aYqLi1NAQIAiIyP1wAMP6LvvvnOowxnjTCByA5s3b9b48eP1+eefKz09XVVVVRowYIB++ukne5m0tDTNmTNHCxYs0Pbt2xUeHq7+/furpKSkAXveeG3fvl1LlixR586dHbYzzpevsLBQffr0kZeXlz788EPt27dPs2fPdnjSO+N8eWbNmqXFixdrwYIFysrKUlpaml555RXNnz/fXoYxvnQ//fSTrr/+ei1YsOCc+2szpklJSVq3bp3WrFmjLVu26OTJkxo0aJBOnz7tqtNwexca59LSUu3cuVPPPvusdu7cqbVr1+rAgQMaPHiwQzmnjPPlvjgV9S8/P99IMps3bzbGGFNdXW3Cw8PNyy+/bC9z6tQpExwcbBYvXtxQ3Wy0SkpKTGxsrElPTzd9+/Y1jz/+uDGGca4v06ZNMzfeeON59zPOl++OO+4wDz30kMO2oUOHmhEjRhhjGOP6IMmsW7fO/r02Y/rjjz8aLy8vs2bNGnuZ48ePm2bNmpn169e7rO+NyZnjfC7btm0zksyRI0eMMc4bZ2aI3FBRUZEkKSQkRJKUnZ2tvLw8DRgwwF7Gx8dHffv21datWxukj43Z+PHjdccddygxMdFhO+NcP9577z11795dv/nNb9SyZUt17dpVS5cute9nnC/fjTfeqI0bN+rAgQOSpH//+9/asmWLbr/9dkmMsTPUZkwzMzNVWVnpUCYyMlKdOnVi3C9DUVGRbDabfZbZWeNsmSdVNxbGGE2ePFk33nijOnXqJEn2l9Ke+SLasLAwHTlyxOV9bMzWrFmjnTt3avv27WftY5zrx7fffqtFixZp8uTJ+sMf/qBt27Zp0qRJ8vHx0QMPPMA414Np06apqKhI7du3l4eHh06fPq2XXnpJ9913nyT+X3aG2oxpXl6evL291bx587PKnPlycdTOqVOn9NRTT2n48OH2l7s6a5wJRG5mwoQJ+uqrr7Rly5az9tlsNofvxpiztuH8jh49qscff1wbNmyQr6/vecsxzpenurpa3bt3V0pKiiSpa9eu2rt3rxYtWqQHHnjAXo5xrru3335bq1at0urVq9WxY0ft2rVLSUlJioyM1KhRo+zlGOP6V5cxZdzrprKyUvfee6+qq6u1cOHCi5a/3HHmkpkbmThxot577z1t2rRJrVq1sm8PDw+XpLOSb35+/lm/reD8MjMzlZ+fr/j4eHl6esrT01ObN2/Wn/70J3l6etrHknG+PBEREbruuusctnXo0EE5OTmS+P+5PjzxxBN66qmndO+99youLk4jR47U73//e6WmpkpijJ2hNmMaHh6uiooKFRYWnrcMaqeyslLDhg1Tdna20tPT7bNDkvPGmUDkBowxmjBhgtauXauPP/5YMTExDvtjYmIUHh6u9PR0+7aKigpt3rxZvXv3dnV3G62EhATt3r1bu3btsn+6d++u+++/X7t27VLbtm0Z53rQp0+fsx4bceDAAfuLlPn/+fKVlpaqWTPHf749PDzst90zxvWvNmMaHx8vLy8vhzK5ubnas2cP434JasLQwYMHlZGRoRYtWjjsd9o413k5NurNY489ZoKDg80nn3xicnNz7Z/S0lJ7mZdfftkEBwebtWvXmt27d5v77rvPREREmOLi4gbseeP333eZGcM414dt27YZT09P89JLL5mDBw+aN9980/j7+5tVq1bZyzDOl2fUqFHm6quvNv/4xz9Mdna2Wbt2rQkNDTVPPvmkvQxjfOlKSkrMl19+ab788ksjycyZM8d8+eWX9rubajOmjz76qGnVqpXJyMgwO3fuNLfccou5/vrrTVVVVUOdltu50DhXVlaawYMHm1atWpldu3Y5/EwsLy+31+GMcSYQuQFJ5/wsW7bMXqa6uto8//zzJjw83Pj4+JibbrrJ7N69u+E63UScGYgY5/rx/vvvm06dOhkfHx/Tvn17s2TJEof9jPPlKS4uNo8//riJjo42vr6+pm3btubpp592+IHBGF+6TZs2nfPf4lGjRhljajemZWVlZsKECSYkJMT4+fmZQYMGmZycnAY4G/d1oXHOzs4+78/ETZs22etwxjjbjDGm7vNLAAAAjR9riAAAgOURiAAAgOURiAAAgOURiAAAgOURiAAAgOURiAAAgOURiAAAgOURiAAAgOURiAA0OjabTe++++5593/yySey2Wz68ccf67Xd5cuX68orr6zXOgG4BwIRgFobPXq0bDabHn300bP2jRs3TjabTaNHj6639pKTk9WlS5d6q+9iNm3apNtvv10tWrSQv7+/rrvuOk2ZMkXHjx93WR8ANAwCEYBLEhUVpTVr1qisrMy+7dSpU3rrrbcUHR3dgD27PK+99poSExMVHh6ud955R/v27dPixYtVVFSk2bNnO7XtyspKp9YP4OIIRAAuSbdu3RQdHa21a9fat61du1ZRUVHq2rWrfVt5ebkmTZqkli1bytfXVzfeeKO2b99u319zWWvjxo3q3r27/P391bt3b3399deSfr48NWPGDP373/+WzWaTzWbT8uXL7ccXFBRoyJAh8vf3V2xsrN57771z9venn35SUFCQ/va3vzlsf//99xUQEKCSkhIdO3ZMkyZN0qRJk/TGG2+oX79+atOmjW666Sb9+c9/1nPPPedw7EcffaQOHTroiiuu0K233qrc3Fz7vu3bt6t///4KDQ1VcHCw+vbtq507dzocb7PZtHjxYt11110KCAjQiy++KEl68cUX1bJlSwUGBurhhx/WU089ddYM2bJly9ShQwf5+vqqffv2WrhwoX1fRUWFJkyYoIiICPn6+qpNmzZKTU0957gAOMNlvRoWgKWMGjXK3HXXXWbOnDkmISHBvj0hIcHMnTvX3HXXXfY3g0+aNMlERkaaDz74wOzdu9eMGjXKNG/e3PznP/8xxvzfG6979eplPvnkE7N3717zq1/9yvTu3dsYY0xpaamZMmWK6dixo8nNzTW5ubmmtLTUGGOMJNOqVSuzevVqc/DgQTNp0iRzxRVXnFV3YWGhMcaYRx55xNx+++0O5zJkyBDzwAMPGGOMmTNnjpFkvvvuuwue/7Jly4yXl5dJTEw027dvN5mZmaZDhw5m+PDh9jIbN240K1euNPv27TP79u0zY8aMMWFhYaa4uNheRpJp2bKlef31180333xjDh8+bFatWmV8fX3NG2+8Yb7++mszY8YMExQUZK6//nr7cUuWLDERERHmnXfeMd9++6155513TEhIiFm+fLkxxphXXnnFREVFmU8//dQcPnzY/Otf/zKrV6+u1X9bwOoIRABqrSYQnThxwvj4+Jjs7Gxz+PBh4+vra06cOGEPRCdPnjReXl7mzTfftB9bUVFhIiMjTVpamjHm/0JLRkaGvcw///lPI8mUlZUZY4x5/vnnHQJBDUnmmWeesX8/efKksdls5sMPP3SouyYQffHFF8bDw8McP37cGGPMiRMnjJeXl/nkk0+MMcY89thjJigo6KLnv2zZMiPJHDp0yL7t1VdfNWFhYec9pqqqygQGBpr333/fof9JSUkO5Xr16mXGjx/vsK1Pnz4O5x8VFXVWwHnhhRfMDTfcYIwxZuLEieaWW24x1dXVFz0XAI64ZAbgkoWGhuqOO+7QihUrtGzZMt1xxx0KDQ217//mm29UWVmpPn362Ld5eXmpZ8+eysrKcqirc+fO9j9HRERIkvLz8y/ah/8+LiAgQIGBgec9rmfPnurYsaP+8pe/SJJWrlyp6Oho3XTTTZIkY4xsNttF25Qkf39//eIXv3Do83+3m5+fr0cffVTt2rVTcHCwgoODdfLkSeXk5DjU0717d4fvX3/9tXr27HlWv2ucOHFCR48e1ZgxY3TFFVfYPy+++KK++eYbST8vet+1a5euvfZaTZo0SRs2bKjVOQGQPBu6AwAap4ceekgTJkyQJL366qsO+4wxknRWyDhX8PDy8rL/uWZfdXX1Rdv/7+Nqjr3QcQ8//LAWLFigp556SsuWLdODDz5ob69du3YqKipSbm6uPZRdSrs15yv9HEpOnDihefPmqXXr1vLx8dENN9ygiooKh+MCAgLOqvtc41Wj5tyWLl2qXr16OZTz8PCQ9PP6ruzsbH344YfKyMjQsGHDlJiYeNb6KQBnY4YIQJ3ceuutqqioUEVFhQYOHOiw75prrpG3t7e2bNli31ZZWakdO3aoQ4cOtW7D29tbp0+frpf+jhgxQjk5OfrTn/6kvXv3atSoUfZ9v/71r+Xt7a20tLRzHnspzzP617/+pUmTJun2229Xx44d5ePjo4KCgosed+2112rbtm0O23bs2GH/c1hYmK6++mp9++23uuaaaxw+MTEx9nJBQUH67W9/q6VLl+rtt9/WO++8ox9++KHW/QesihkiAHXi4eFhv/xVM0NRIyAgQI899pieeOIJhYSEKDo6WmlpaSotLdWYMWNq3UabNm2UnZ2tXbt2qVWrVgoMDJSPj0+d+tu8eXMNHTpUTzzxhAYMGKBWrVrZ90VFRWnu3LmaMGGCiouL9cADD6hNmzY6duyY/vKXv+iKK66o9a3311xzjVauXKnu3buruLhYTzzxhPz8/C563MSJE/XII4+oe/fu6t27t95++2199dVXatu2rb1McnKyJk2apKCgIN12220qLy/Xjh07VFhYqMmTJ2vu3LmKiIhQly5d1KxZM/2///f/FB4ezsMkgVpghghAnQUFBSkoKOic+15++WXdc889GjlypLp166ZDhw7po48+UvPmzWtd/z333KNbb71VN998s6666iq99dZbl9XfMWPGqKKiQg899NBZ+8aNG6cNGzbo+PHjGjJkiNq3b6+HH35YQUFBmjp1aq3beOONN1RYWKiuXbtq5MiR9kcPXMz999+v6dOna+rUqfZLX6NHj5avr6+9zMMPP6w///nPWr58ueLi4tS3b18tX77cPkN0xRVXaNasWerevbt69Oihw4cP64MPPlCzZvxTD1yMzfz3RWoAaMLefPNNPf744/ruu+/k7e3d0N25qP79+ys8PFwrV65s6K4ATR6XzAA0eaWlpcrOzlZqaqrGjh3rlmGotLRUixcv1sCBA+Xh4aG33npLGRkZSk9Pb+iuAZbAPCqAJi8tLU1dunRRWFiYpk+f3tDdOSebzaYPPvhAv/rVrxQfH6/3339f77zzjhITExu6a4AlcMkMAABYHjNEAADA8ghEAADA8ghEAADA8ghEAADA8ghEAADA8ghEAADA8ghEAADA8ghEAADA8v4/rXIy/BViy8AAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "sns.histplot(df, x='MonthlyCharges', hue='Churn', multiple='stack', palette = 'Set1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "06c67f23-cbd4-4cfe-8419-e8a5e5f85e54",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='TotalCharges', ylabel='Count'>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "sns.histplot(df, x='TotalCharges', hue='Churn', multiple='stack', palette = 'Set1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "241b9fd3-e496-41ed-a4d9-800f2ac799f4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='PaymentMethod', ylabel='Count'>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 3000x1800 with 7 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['SeniorCitizen'] = df['SeniorCitizen'].replace({0: '< 65', 1:\">= 65\"})\n",
    "sns.set_context('paper', font_scale=1.75)\n",
    "plt.figure(1,figsize=(30,18))\n",
    "plt.subplot(331)\n",
    "sns.histplot(df, x='gender', hue='Churn', multiple='dodge', palette = 'Set1')\n",
    "plt.subplot(332)\n",
    "sns.histplot(df, x='SeniorCitizen', hue='Churn', multiple='dodge', palette = 'Set1')\n",
    "plt.subplot(333)\n",
    "sns.histplot(df, x='Partner', hue='Churn', multiple='dodge', palette = 'Set1')\n",
    "plt.subplot(334)\n",
    "sns.histplot(df, x='Dependents', hue='Churn', multiple='dodge', palette = 'Set1')\n",
    "plt.subplot(335)\n",
    "sns.histplot(df, x='Contract', hue='Churn', multiple='dodge', palette = 'Set1')\n",
    "plt.subplot(336)\n",
    "sns.histplot(df, x='PaperlessBilling', hue='Churn', multiple='dodge', palette = 'Set1')\n",
    "plt.subplot(313)\n",
    "#plt.xticks(rotation=45)\n",
    "sns.histplot(df, x='PaymentMethod', hue='Churn', multiple='dodge', palette = 'Set1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "44f16381-6450-4fc6-8074-508893bde849",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Convert all yes and no to 0's & 1's so our classifier can use this data.\n",
    "df['SeniorCitizen'] = df['SeniorCitizen'].replace({'< 65': '0', \">= 65\": '1'})\n",
    "# convert column \"SeniorCitizen\" to int\n",
    "df = df.astype({\"SeniorCitizen\": int})\n",
    "columns_to_convert = ['Partner', \n",
    "                      'Dependents', \n",
    "                      'PhoneService', \n",
    "                      'OnlineSecurity',\n",
    "                      'DeviceProtection',\n",
    "                      'TechSupport',\n",
    "                      'StreamingTV',\n",
    "                      'StreamingMovies',\n",
    "                      'PaperlessBilling', \n",
    "                      'Churn']\n",
    "\n",
    "for item in columns_to_convert:\n",
    "    df[item] = df[item].replace(to_replace='Yes', value='1')\n",
    "    df[item] = df[item].replace(to_replace='No',  value='0')\n",
    "    df[item] = df[item].replace(to_replace='No internet service',  value='0')\n",
    "    df = df.astype({item: int})"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dedd61e2-b99b-404a-92ae-82d39675f4c9",
   "metadata": {},
   "source": [
    "#### Feature Selection: Correlation matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "16151e18-5909-40d1-bba5-47df07e99de5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.set_context('paper', font_scale=1)\n",
    "# compute the pair wise correlation for all columns  \n",
    "correlation_matrix = df.corr(numeric_only=True)\n",
    "# use the heatmap function from seaborn to plot the correlation matrix\n",
    "# Manipulate figsize in inches for \n",
    "fig, ax = plt.subplots(figsize=(10,10))\n",
    "# annot = True to print the values inside the square\n",
    "sns.heatmap(data=correlation_matrix, annot=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "69a72d2f-2742-42ab-96f9-7e9d55fb8c16",
   "metadata": {},
   "source": [
    "#### Split dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "146e8019-039c-4ece-b571-f2ff35242c3b",
   "metadata": {},
   "outputs": [],
   "source": [
    "# remove customerID and TotalCharges\n",
    "try:\n",
    "    del df['customerID'] # not needed in analysis (it will lead to feature explosion in one hot encoding)\n",
    "    del df['TotalCharges'] # highly correlated with tenure and MonthlyCharges\n",
    "except:\n",
    "    print(\"already removed customerID and TotalCharges\")\n",
    "\n",
    "# Split features and target\n",
    "X = df.drop('Churn', axis=1)\n",
    "y = df['Churn']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "23d4fd0f-4c61-4f29-9843-3621c2da3486",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Split the data into training and test sets before scaling, encoding to avoid data leakage\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "631c4fc1-65b1-479a-b2b4-48df587c0109",
   "metadata": {},
   "source": [
    "#### Encode categorical data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "524ad245-f080-4db2-8bef-6beec250ae89",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>SeniorCitizen</th>\n",
       "      <th>Partner</th>\n",
       "      <th>Dependents</th>\n",
       "      <th>tenure</th>\n",
       "      <th>PhoneService</th>\n",
       "      <th>OnlineSecurity</th>\n",
       "      <th>DeviceProtection</th>\n",
       "      <th>TechSupport</th>\n",
       "      <th>StreamingTV</th>\n",
       "      <th>StreamingMovies</th>\n",
       "      <th>...</th>\n",
       "      <th>OnlineBackup_1</th>\n",
       "      <th>OnlineBackup_2</th>\n",
       "      <th>OnlineBackup_3</th>\n",
       "      <th>Contract_1</th>\n",
       "      <th>Contract_2</th>\n",
       "      <th>Contract_3</th>\n",
       "      <th>PaymentMethod_1</th>\n",
       "      <th>PaymentMethod_2</th>\n",
       "      <th>PaymentMethod_3</th>\n",
       "      <th>PaymentMethod_4</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>6021</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>43</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3404</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5474</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>55</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5515</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>45</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6328</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>55</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 30 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "      SeniorCitizen  Partner  Dependents  tenure  PhoneService  \\\n",
       "6021              0        0           0      43             0   \n",
       "3404              0        0           0       3             1   \n",
       "5474              0        1           0      55             1   \n",
       "5515              0        1           1      45             1   \n",
       "6328              0        1           1      55             1   \n",
       "\n",
       "      OnlineSecurity  DeviceProtection  TechSupport  StreamingTV  \\\n",
       "6021               0                 1            0            1   \n",
       "3404               0                 0            0            1   \n",
       "5474               0                 1            0            0   \n",
       "5515               1                 0            1            0   \n",
       "6328               1                 0            0            1   \n",
       "\n",
       "      StreamingMovies  ...  OnlineBackup_1  OnlineBackup_2  OnlineBackup_3  \\\n",
       "6021                1  ...               1               0               0   \n",
       "3404                0  ...               1               0               0   \n",
       "5474                0  ...               1               0               0   \n",
       "5515                0  ...               1               0               0   \n",
       "6328                1  ...               1               0               0   \n",
       "\n",
       "      Contract_1  Contract_2  Contract_3  PaymentMethod_1  PaymentMethod_2  \\\n",
       "6021           1           0           0                1                0   \n",
       "3404           1           0           0                0                1   \n",
       "5474           1           0           0                0                0   \n",
       "5515           0           1           0                1                0   \n",
       "6328           0           0           1                0                0   \n",
       "\n",
       "      PaymentMethod_3  PaymentMethod_4  \n",
       "6021                0                0  \n",
       "3404                0                0  \n",
       "5474                1                0  \n",
       "5515                0                0  \n",
       "6328                0                1  \n",
       "\n",
       "[5 rows x 30 columns]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from category_encoders import OrdinalEncoder, OneHotEncoder\n",
    "\n",
    "# Identify numerical and categorical features\n",
    "num_features = X.select_dtypes(include=['int64', 'float64']).columns\n",
    "cat_features = X.select_dtypes(include=['object']).columns\n",
    "#print(cat_features)\n",
    "      \n",
    "# Use one-hot encoding to convert categorical data to binary (0 or 1)\n",
    "# Apply ordinal encoding on categorical features\n",
    "onehot_encoder = OneHotEncoder(return_df=True,\n",
    "                                 handle_unknown='value',   # Handle unknown categories in the test set (at transform time) --> Encode a new value as 0 in every dummy column\n",
    "                                )\n",
    "new_cols_train = onehot_encoder.fit_transform(X_train[cat_features])\n",
    "# Concatenate the original DataFrame with the encoded DataFrame\n",
    "X_train = pd.concat([X_train, new_cols_train], axis=1)\n",
    "# Drop the original categorical column if you no longer need it\n",
    "X_train = X_train.drop(columns=cat_features)\n",
    "\n",
    "new_cols_test = onehot_encoder.transform(X_test[cat_features])\n",
    "X_test = pd.concat([X_test, new_cols_test], axis=1)\n",
    "X_test = X_test.drop(columns=cat_features)\n",
    "\n",
    "X_train.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e6ee2539-618c-4fe1-bac0-91d9d8ef85e8",
   "metadata": {},
   "source": [
    "#### Feature Selection: Forward Selection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "f3802265-26e4-481c-abd4-ef56064c7d37",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "best combination (ACC: 0.803): (0, 3, 4, 5, 9, 10, 12, 13, 14, 15, 16, 18, 23, 27, 28)\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(<Figure size 1000x1000 with 1 Axes>,\n",
       " <Axes: xlabel='Number of Features', ylabel='Performance'>)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.linear_model  import LogisticRegression\n",
    "from mlxtend.feature_selection import SequentialFeatureSelector as SFS\n",
    "from mlxtend.plotting import plot_sequential_feature_selection as plot_sfs\n",
    "\n",
    "log = LogisticRegression(max_iter=1000)\n",
    "\n",
    "from sklearn.metrics import f1_score\n",
    "from sklearn.metrics import make_scorer\n",
    "f1_weighted = make_scorer(f1_score, average='weighted')\n",
    "\n",
    "sfs_range = SFS(estimator=log, \n",
    "           k_features=(15, 30),\n",
    "           forward=True, \n",
    "           floating=False, \n",
    "           scoring=f1_weighted,\n",
    "           cv=5)\n",
    "\n",
    "sfs_range = sfs_range.fit(X_train, y_train)\n",
    "\n",
    "print('best combination (ACC: %.3f): %s\\n' % (sfs_range.k_score_, sfs_range.k_feature_idx_))\n",
    "# print('all subsets:\\n', sfs_range.subsets_)\n",
    "plt.rcParams[\"figure.figsize\"] = (10,10)\n",
    "plot_sfs(sfs_range.get_metric_dict(), kind='std_err')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "0cfda098-faf3-499c-9e98-ddc447da9972",
   "metadata": {},
   "outputs": [],
   "source": [
    "# keep 15 most important features that maximize the accuracy\n",
    "# Generate the new subsets based on the selected features\n",
    "X_train = sfs_range.transform(X_train)\n",
    "X_test = sfs_range.transform(X_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3432635c-2906-46f0-b50f-9222fdd79992",
   "metadata": {},
   "source": [
    "### Classification"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1bb14479-9627-4cd6-ae1a-5a05a32d22c5",
   "metadata": {},
   "source": [
    "#### We will run all classifiers to have an initial feeling of the performance"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0e462738-3630-4eeb-8a78-4bb07ed9ad22",
   "metadata": {},
   "source": [
    "##### Defining function for Confusion Matrix , Precision, Recall and F1 Score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "b74bbc9c-1f0e-4932-9820-6707cfca43f7",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Creating function for Confusion Matrix , Precsion, Recall and F1 Score\n",
    "def plot_confusion_matrix(classifier, y_test, y_pred_test):\n",
    "    cm = confusion_matrix(y_test, y_pred_test)\n",
    "    \n",
    "    print(\"\\n\",classifier,\"\\n\")\n",
    "    plt.clf()\n",
    "    plt.imshow(cm, interpolation='nearest', cmap='RdBu')\n",
    "    classNames = ['Churn-No','Churn-Yes']\n",
    "    plt.ylabel('True label')\n",
    "    plt.xlabel('Predicted label')\n",
    "    tick_marks = np.arange(len(classNames))\n",
    "    plt.xticks(tick_marks, classNames, rotation=45)\n",
    "    plt.yticks(tick_marks, classNames)\n",
    "    s = [['TN','FP'], ['FN', 'TP']]\n",
    "    \n",
    "    for i in range(2):\n",
    "        for j in range(2):\n",
    "            plt.text(j,i, str(s[i][j])+\" = \"+str(cm[i][j]), \n",
    "                     horizontalalignment='center', color='White')\n",
    "    \n",
    "    plt.show()\n",
    "        \n",
    "    tn, fp, fn, tp = cm.ravel()\n",
    "\n",
    "    recall = tp / (tp + fn)\n",
    "    precision = tp / (tp + fp)\n",
    "    #F1 = 2*recall*precision/(recall+precision)\n",
    "    F1 = f1_score(y_test, y_pred_test, average='weighted')\n",
    "\n",
    "    print('Recall={0:0.3f}'.format(recall),'\\nPrecision={0:0.3f}'.format(precision))\n",
    "    print('F1={0:0.3f}'.format(F1))\n",
    "    return;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9d25e351-ae9a-4fdd-b1b8-95bec5f3aac8",
   "metadata": {},
   "source": [
    "##### Defining function for Precision Recall Curve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "553ed428-cfff-4c8c-8fcb-93168c34964e",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics import average_precision_score, precision_recall_curve\n",
    "def plot_prec_rec_curve(classifier, y_test, y_pred_score):\n",
    "    precision, recall, _ = precision_recall_curve(y_test, y_pred_score)\n",
    "    average_precision = average_precision_score(y_test, y_pred_score)\n",
    "\n",
    "    print('Average precision-recall score: {0:0.3f}'.format(\n",
    "          average_precision))\n",
    "\n",
    "    plt.plot(recall, precision, label='area = %0.3f' % average_precision, color=\"green\")\n",
    "    plt.xlim([0.0, 1.0])\n",
    "    plt.ylim([0.0, 1.05])\n",
    "    plt.xlabel('Recall')\n",
    "    plt.ylabel('Precision')\n",
    "    plt.title('Precision Recall Curve')\n",
    "    plt.legend(loc=\"best\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "18557275-2adb-455d-b529-5a59c3b6fad1",
   "metadata": {},
   "source": [
    "#### Master Classification Engine"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "98ae5861-0d1c-41a4-8875-e8ada6f191e1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " LogisticRegression \n",
      "\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Recall=0.503 \n",
      "Precision=0.639\n",
      "F1=0.784\n",
      "Average precision-recall score: 0.622\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " KNeighborsClassifier \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Recall=0.471 \n",
      "Precision=0.571\n",
      "F1=0.758\n",
      "Average precision-recall score: 0.519\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " GaussianNB \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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hlq+vUaOG43WHDx/W9OnTc7Vei8WicePGafz48enWd+zYUW+88YaOHz+uCxcuaNiwYXr66af/0cx2AAAyc0ckS//+/TVjxgxNmjRJxYsXV3BwsCIiItSqVatbvvaVV15RQECAgoOD1bp1a3Xs2DHX623SpImqVq2abt2wYcNUr1491axZU/fee68CAwM1derUXK8FAJD/OH3CGv6ydetW3X///UxYQ77FhDXkZ0ZNWAMAANlDeAMAYBjCGwAAwxDeAAAYhvAGAMAwhDcAAIYhvAEAMAzhDQCAYQhvAAAMQ3gDAGAYwhsAAMMQ3gAAGIbwBgDAMIQ3AACGIbwBADAM4Q0AgGEIbwAADEN4AwBgGMIbAADDEN4AABiG8AYAwDCENwAAhiG8AQAwDOENAIBhCG8AAAxDeAMAYBjCGwAAwxDeAAAYhvAGAMAwhDcAAIYhvAEAMAzhDQCAYQhvAAAMQ3gDAGAYwhsAAMMQ3gAAGIbwBgDAMIQ3AACGIbwBADAM4Q0AgGEIbwAADEN4AwBgGMIbAADDEN4AABiG8AYAwDCENwAAhiG8AQAwDOENAIBhCG8AAAxDeAMAYBjCGwAAwxDeAAAYhvAGAMAwhDcAAIYhvAEAMAzhDQCAYQhvAAAMQ3gDAGAYwhsAAMO4ZaWRzWbL8g5dXDgfAAAgN2UpvN3c3GSxWLK0w7S0tH9VEAAAyFyWwnvt2rW5XQcAAMiiLIV3/fr1c7sOAACQRf/oAvXmzZv14osvqlGjRjp27JgkadmyZdq8eXOOFgcAADLKdnh//PHHatiwoSwWi3788UclJiZKkk6ePKmIiIicrg8AAPxNtsM7MjJS8+bN0+zZs+Xu7u5Y//DDDysmJiZHiwMAABllO7z37t2rBx54IMN6b29vXbx4MUeKAgAAN5ft8C5Tpoy2bt2aYf2qVatUqVKlHCkKAADcXJZmm19v5MiR6tWrl44fPy6bzaavv/5a+/bt08yZM/X+++/nRo0AAOA62Q7vDh06KDAwUGPHjpWvr68GDBigatWq6cMPP1SLFi1yo0YAAHCdbIe3JDVs2FANGzbM6VoAAEAW/KPwttvt+vLLLxUXFydJqlChgpo0acJzzQEAuA2yHd47d+5U69atdezYMZUvX16StGfPHgUFBWnFihWqWrVqjhcJAAD+ku2ucrdu3VSjRg0dPXpUMTExiomJ0ZEjR1SzZk1169YtN2oEAADX+Uc978WLF8vf39+xzt/fXxEREapZs2aOFgcAADLKds+7du3a2r17d4b1u3fvJrwBALgNstTzXrNmjeP7Ll26qG/fvoqJiVHt2rVlsVi0efNmLVq0iGebAwBwG1jsdrv9Vo2yOovcYrEoLS3tXxeVX23dulX333+/3O5tIYtPUWeXA9x2PwbGO7sEwGl+v3hJz278RTExMbccyc5Sz9tms+VIYQAA4N/jxmwAAAzzjx7Scvr0aX311Vc6fPiwrFZrum2jRo3KkcIAAMCNZTu8165dq1atWumuu+7S3r17VbFiRR06dEh2u13VqlUjvAEAyGXZHjYfPHiwBg0apNjYWHl5eenTTz/Vn3/+qf/85z9q27ZtbtQIAACuk+3w/v3339WxY0dJkoeHhy5fviw/Pz9FRERo4sSJOV4gAABIL9vhXbhwYV2+fFmSVLJkSW3fvl2SdO7cOV26dClnqwMAABlkO7wbNGigzz77TJLUuXNn9e7dW23atFHbtm31+OOP53iBAAAgvWxPWJs7d65SU1MlSYMGDVJQUJA2bdqkIUOGqGfPnjleIAAASC/b4e3h4SEPDw/HcqdOndSpU6ccLQoAANxclsJ7wYIFWd5h9+7d/3ExAADg1rIU3mPGjMnSziwWC+ENAEAuy1J4HzhwILfrwHWe2LNFxeTp7DKA2863cxVnlwA4jbeb9daN/h/PNgcAwDCENwAAhiG8AQAwDOENAIBhCG8AAAzzj8J72bJlaty4se655x4dOnRIkhQVFaWvvvoqR4sDAAAZZTu8Z82apb59+6phw4Y6cuSI41Gp3t7emjBhQo4XCAAA0st2eE+bNk0LFizQ0KFD5erq6lhfu3Zt7dixI0eLAwAAGWU7vA8dOqTKlStnWG+xWJSUlJQjRQEAgJvLdnhXrlxZa9euzbB+6dKluv/++3OkKAAAcHPZ/lSxN998U08++aR2796t1NRULViwQHFxcfr888/1zTff5EaNAADgOtnueTdq1EibN2/WmTNnVLVqVa1YsUJubm766aefVK9evdyoEQAAXCfbPW9JKl++vObPn5/TtQAAgCzIdnjv378/0+1ly5b9x8UAAIBby3Z4lytXThaLRXa73bHOYrE4vk9LS8uZygAAwA1lO7z//tneVqtVO3bs0NixYxUZGZljhQEAgBvLdniHhIRkWFeuXDkVLlxYgwcP1uOPP54jhQEAgBvLsQ8mCQwM1O+//55TuwMAADeR7Z73mjVr0i3b7XYdP35cU6dOVVhYWI4VBgAAbizb4d2oUaN0yxaLRcWKFdMjjzyiyZMn51hhAADgxrId3jabLTfqAAAAWZSta95Wq1U1a9ZUXFxcbtUDAABuIVvh7e7urhMnTtD7BgDAibI923zQoEEaM2aMEhMTc6MeAABwC1m+5v3999/rwQcf1IoVK/Trr78qKChI99xzj3x8fDK0AwAAuSfL4d2gQQMdO3ZMjRo1yjDjHAAA3D5ZDu9rzzIfPXp0rhUDAABuLVvXvK//ABIAAOAc2brPu3Xr1vLw8Mi0zd+fwAYAAHJWtsI7LCxMvr6+uVULAADIgmyF95AhQxQYGJhbtQAAgCzI8jVvrncDAHBnyHJ4X5ttDgAAnCvLw+Y8EhUAgDtDth+PCgAAnIvwBgDAMIQ3AACGIbwBADAM4Q0AgGEIbwAADEN4AwBgGMIbAADDEN4AABiG8AYAwDCENwAAhiG8AQAwDOENAIBhCG8AAAxDeAMAYBjCGwAAwxDeAAAYhvAGAMAwhDcAAIYhvAEAMAzhDQCAYQhvAAAMQ3gDAGAYwhsAAMMQ3gAAGIbwBgDAMIQ3AACGIbwBADAM4Q0AgGEIbwAADEN4AwBgGMIbAADDEN4AABiG8AYAwDCENwAAhiG8AQAwDOENAIBhCG8AAAxDeAMAYBjCGwAAwxDeAAAYhvAGAMAwhDcAAIYhvAEAMAzhDQCAYQhvAAAMQ3gDAGAYwhsAAMMQ3gAAGIbwBgDAMIQ3AACGIbwBADCMm7MLAG5kwNoPdG/4A+nW7d+4TRMfbK176z+gAes+0L6fftFb9do6the7O0Rj9q7X8NB6OnPwzxyvqXrrJgrv3UUhtarKO8BfL7ndLVtammN7yWqV1HTYS7q7Xm15BxTQiT0H9NXYGdr68Zfp9tNkyEtq0PdZ+RT0V+w3P2pJj2G6eOJUjtcLc1X+7+eZbj8wbqh8K1ZVYOtnJEm2VKusp0/q3JovdearT3O+IFdXFW/bRX7VasmjWHGlJlzUpS0bdGL5YtlTkiVJ7kUDde+UBRleGtuzvWxXLqdf6eKisqMmybvsvfpj0AtKOXks52vO4whv3LG+e3u+Vk+IciynpqSk216qZhVVadZAO79Ye1vq8fDxVtyaDYr99ie1fvPVDNtL1aisc38e17z2fXT+yHFVffxRPffBdCU06qQ96zdKkh7s+pSaDu+thV0G6PT+w2r3zig9/+EMTQlvf1veA8wQ17eT4/uizdvK++7yOjxtrGNdWkKCfCtW1ZV9cTr8zhhZ3Nzld9/9Cn62l1IvnteFDetytB4XD095lgrVyRVLlHw4Xm6Fi+iubn3k4uOro/Ompmu7P3KgrKdPOJYzBLekYi07KDXhUo7WmN8Q3rhjJV++kmmP9Pt3o/XEG4NuW3hvXvKpJOne+g/ccPvPC5elW147faGqNG+o+55o5AjvBn2f1dqp7+nXT1ZLkv7bfbDe2P+DSlarpD+378694mGU1AvnHd/bkpNkT01Nt+4ae9pf68+t/Ur+teqqQPWwHA9vW+IVHZo02rGccuKoTq5YouAuvSSlD++0SxdvWOs1XmXuUcCD4To8bawK3Hd/jtaZnxDeMNbqCVF66Ll2qtm2mbYu/yJLr3nn0q5Mty/tMUybl/4vJ8qTJPkVLaTLZ89Lktw8PFSyWkV9PHicY/vpA4d1+sBhlalTnfDGv2azpsji6nrDbe5FiunuN2dl+vpDkyJ0ZU/mfyPXuBXwV9rljL3nkKFjZXF1U/KfB3Xy42gl7otzbLO4e6hkjwE69t4M2ZISs3Qc3BjhjTvWf17toYYvd3csL37uNcV89Ne1wMtnzum7txeoxesDtG3FV1na59jqzTLdfvHE6X9W7A3UaPOYgiuW05y2vSRJvkUKysXVVZdOnknXLuHUGRUILJJjx0X+5Fupmvyq1NSJD9+74XbruTPaP6JfpvuwnjuT6fZrXH39VOSx1jq39q/5HLakJB1bPFtX9sbKYnFRwfr/Ueiw8do/sp+Sjx6WJBXv0E0Ju7brcuwOuRcNzOI7w43cseG9cOFCRUVFaePGjc4uBU7y49wP9N3b8x3LF49nHEL/dso8hffpojqdWmvfT7/ccp+n9h3M0RpvpuyDNdXlvbe0+PnXdCb+6uQ5i8VyW46N/MOnXAVVmLNMFhdXyWLR+fWrdfbbVTdubLPlyMQwi4enSr08UslHDur0qhWO9WkJF3X2m88cy4n798gzuKQKPdpcxxdHybfiffKrer/2jej7r2vAHRDey5Yt0+TJk7Vz5075+PioUqVKGjhwoNPqOXjwoKpVq6YvvvhCdevWdax/+eWXFRsbq9WrVzuttvzmyrkLtwzbpEsJ+nribDUf3V8zm3e75T5vx7B5SK371OeLhVox+E1teX+lY33C6XOypaVl6GX7FSuSoTcOZEXSwf36c+ZE2dNSZT17RrLbbto2J4bNLe7uKv3KKNlTU3V4+puZHk+SkuL3yiOohCTJp0IVeQQGqeLsj9K1KTchSqdWfqhTnyzNdF9Iz6nhPXXqVI0ZM0azZs1S06ZN5ePjo3Xr1mnp0qV6+OGHc+w4aWlpslgscnG59W3tISEhmjBhgrp166bt27fLy8tLP//8sxYtWqQdO3bkWE3IOWtnLNKjrzynh57vcMu2uT1sXqp6ZfVb/V99+cZ0/TAn/T+j1JQU/bk9VuUbPKi4NRskSUVCS6pomVI6sOnXf3Vc5E82a0qWe9P/dtjc4uamUv1HyMXTUwcnjJDdar3lMT1LlVHKsatD5me/XaWLm39ybHMrVFihr47RobdfV+KBvVl6D/iL0x7ScvHiRQ0fPlwzZ85Uu3btVKBAAbm6uurRRx/V/Pl/DZUOHz5cRYoUUYkSJbRkyRLH+vDwcEVF/XUb0VdffaXQ0FDHcmhoqMaPH68aNWrI19dXJ0+elMVi0Zw5c1ShQgUFBASoU6dOSvnb7UeS1KNHD5UuXVojR45UcnKynnvuOU2aNEklS5bU5MmTde+996pw4cJq1qyZ/vzz6pCo3W7XgAEDVLx4cfn7+6tKlSraunVrLvzk8HfWxCR9OXaG6r/U+ZZtT+07mOlXckLG21qu8SkUoJLVKqlYuRBJUslqFVWyWiV5+vpIku6qfK/6f7NYW95fqU3Rn8q/eDH5Fy8mL/8Cjn2sm7FIDft3U/VWTVTivorqPH+i/vh+E5PVkPv+f9g8sy+7NeP/Q0mSq6tK9R0mj+LBOjL3Hbl4ecktoKDcAgo6mgQ81FD+YfXkEXSXPEuUVvFnnpdP+Uo6u/bqaGXapQtKPnLQ8ZVy/IgkKeX4UaVdupDb7z7PcVrPe8OGDUpKSlKbNm1u2iYmJkadO3fWiRMntHLlSnXp0kUtWrSQv79/lo4RHR2tlStXqmTJknL9/xmYK1as0IYNG5SamqoHH3xQ0dHR6t69e4bXzp8/X9WqVdPevXtVunRpPffcc5o+fbqWLl2qr7/+WiVKlFBkZKTat2+vn376SV9//bXWr1+vuLg4BQQEaM+ePfL19b1hXceOHdOxYxnPlmNjY7P0vpDRD3PeV+NBL6pIaMlcO0a1Jxrr2YWTHMvDYq5OnpsS3kF71m9UzbbN5Fe0sMJ7d1F47y6Odj8vXK5F3QZJkja8t0wFihfT07PGyDuggGK//VFLXhyWazUDOcG9UBEVqBEmSbrnumcvSNKuLo9f/cYiBbbpKPcixWSzWpV8OF4HJ4xQ8uEDt7vcfMFit9vtzjjwkiVLNHDgQB0/fvyG2xcuXKiIiAjFx8c71vn7+2vNmjWqVauWwsPD1aFDB/Xs2VPS1Z53z549He1DQ0M1ZMgQx3bp6oShtWvXKjw8XJLUr18/2Ww2zZgx44Y1zJgxQ4MHD9Yff/yhkiVLqlKlSpo8ebKaNm0qSUpNTZWvr6/++OMP7d27Vz179tSiRYtUp06dTIfoIyIiFBkZedPtbRSkYvK86XYgr+rbuYqzSwCcZveZC2r3xY+KiYlRzZo1M23rtGHzIkWK6PTp07Jmct0kKCgo3bKPj48SEhKyfIzSpUtnus/r99e0aVP5+fnJz89P48ZdvQ+3SpUqCggIUMmSV3tz8fHxat++vQoWLKiCBQuqaNGicnFx0Z9//qmGDRuqT58+6tu3rwIDA/Xcc8/p3LlzN6yrR48eiomJyfAVHR2d5fcGAMi/nDZsXrduXXl5eemTTz5Ru3btsv16Pz8/XblyxbF8ox58ViaoXfPll1/esk3p0qUVFRXl6Ln/Xb9+/dSvXz+dOnVKHTp00Lhx4/TWW29laBccHKzg4OAs1wYAwPWc1vP29/fX2LFj1adPHy1fvlwJCQlKS0vT+vXr9cILL9zy9TVq1HC87vDhw5o+fXqu19yrVy8NHz5c+/btkySdO3dOH3109baHLVu2aNOmTbJarfLx8ZGnp6fjOjsAADnJqR8J2r9/f82YMUOTJk1S8eLFFRwcrIiICLVq1eqWr33llVcUEBCg4OBgtW7dWh07dsz1evv27av27dvr8ccfl7+/v6pVq+a47/vixYt68cUXVahQIZUuXVr+/v4aOnRortcEAMh/nDZhDRlt3bpV999/PxPWkG8xYQ35mRET1gAAwD9DeAMAYBjCGwAAwxDeAAAYhvAGAMAwhDcAAIYhvAEAMAzhDQCAYQhvAAAMQ3gDAGAYwhsAAMMQ3gAAGIbwBgDAMIQ3AACGIbwBADAM4Q0AgGEIbwAADEN4AwBgGMIbAADDEN4AABiG8AYAwDCENwAAhiG8AQAwDOENAIBhCG8AAAxDeAMAYBjCGwAAwxDeAAAYhvAGAMAwhDcAAIYhvAEAMAzhDQCAYQhvAAAMQ3gDAGAYwhsAAMMQ3gAAGIbwBgDAMIQ3AACGIbwBADAM4Q0AgGEIbwAADEN4AwBgGMIbAADDEN4AABiG8AYAwDCENwAAhiG8AQAwDOENAIBhCG8AAAxDeAMAYBjCGwAAwxDeAAAYhvAGAMAwhDcAAIYhvAEAMAzhDQCAYQhvAAAMQ3gDAGAYwhsAAMMQ3gAAGIbwBgDAMIQ3AACGIbwBADAM4Q0AgGEIbwAADEN4AwBgGMIbAADDEN4AABiG8AYAwDCENwAAhiG8AQAwDOENAIBhCG8AAAxDeAMAYBjCGwAAwxDeAAAYhvAGAMAwhDcAAIYhvAEAMAzhDQCAYQhvAAAMQ3gDAGAYwhsAAMMQ3gAAGIbwBgDAMIQ3AACGIbwBADAM4Q0AgGEIbwAADOPm7ALwl8TEREnSOVmdXAngHLvPXHB2CYDT7L+QIOmvLMgM4X0HiY+PlySt1RnnFgI4yYovjju7BMDp4uPj9dBDD2XaxmK32+23qR7cwunTp7V69WqFhobK29vb2eXkS7GxserUqZOio6NVsWJFZ5cD3Fb8/jtXYmKi4uPj1aRJExUtWjTTtvS87yBFixZVx44dnV0GJFWsWFE1a9Z0dhmAU/D77zy36nFfw4Q1AAAMQ3gDAGAYwhsAAMMQ3gAAGIbwBq4THBys0aNHKzg42NmlALcdv//m4FYxAAAMQ88bAADDEN4AABiG8AYAwDCENwAAhiG8AQAwDOEN5ACbzZZhHTdyID9JTU11fJ+SkuLESvIHwhv4l1JTU+XicvVP6ciRIzp06JAkyWKxEODIF9LS0uTm5iabzaYOHTro22+/1ZUrV5xdVp7Gp4oB/4LNZnP802rWrJkuXryopKQkhYSEaPny5XJ1dZXNZnOEO5AXXfs9r1GjhkJDQ/Xggw/Kx8fH2WXlaTykBcgBjz/+uIKCgjRy5EgdPXpUffr0kZubmzZt2uTs0oDbYtSoUdq3b5+WLFkiSfr888/l5uYmX19fPfzww06uLu+h5w38S0ePHtXZs2c1depUhYSEKCQkRBs3blT16tU1fPhwjR071tklArnO399fly5dUlxcnCIjI7Vjxw4VKVJEXl5eevfdd1W2bFlnl5inMJYHZFPPnj3VrVs3x7K7u7tcXFy0a9cuSVev/7m7u6tly5a6ePGis8oEck1aWlqGdU2bNlVaWpoGDBggm82m3377TVFRUVw2yiX0vIFs6t69uxo2bKhChQppypQpKlasmEJDQzV58mTVrl1bgYGBkq5eD7darbLZbLJYLLJYLE6uHPhn7HZ7ut/fa9e4X3vtNcfJ66hRo/TRRx/p8uXLKlq0qCwWi3744Qf9+eef8vLycmL1eRPXvIFM3KzXsG3bNtWrV0/du3fX9OnTJUkPPPCAvLy8VKFCBRUsWFBz587V999/r8qVK9/usoFc8cUXX6hZs2ay2WyqVauW7rrrLrVo0ULz5s2TzWbTihUrFBISovj4eEVFRWnu3Ln65ptvVLNmTWeXnucwlgFk4lpwr1q1Stu3b5d0dciwRo0aWr9+vRYuXKgePXpIkjZu3KhmzZrJx8dHycnJ+uGHHwhu5BmffPKJJkyYIElatGiRypQpo88//1w9evRQ7dq1ZbFYVLp0aUnS+fPnZbVatX79eoI7lzBsDtzCG2+8oVGjRqlIkSKqUaOGwsLC1KhRI4WHh2vXrl2677775OvrqylTpujVV1+VdPMeO2CqQoUKKTY2VomJiUpMTJSHh4ckqWPHjvrtt98UExOjM2fO6Mcff1SrVq1UuXJlubu7O7nqvIvwBm6hevXqatSokUqUKCGbzaa0tDR17NhRoaGhatCggV555RVFRkbK29vbMbOc69sw2fXXuK+diFarVk2hoaE6efKkgoODlZycrE6dOik2Nlbbtm2Tq6urFi5cqDVr1ujRRx9VgQIFnPwu8jaueQNZ8Mknn2j58uUqXry4hgwZIpvNpri4OE2ZMkWFChXSf//7X3l6eurw4cMqWrSos8sFcsSOHTvk7++v0NBQSVdnlLdr106dO3fWI488oo0bN2rXrl2qWLGiZsyYocjISK1Zs0ZVq1Z1buH5AOENZOL6HsjHH3+sxYsXKyQkRL169VKFChUkXX2O8/fff6+7775bZcqUcWa5QI754IMP1LdvXwUEBKhMmTLy9fXVqVOn1KhRI0VGRioxMVFPPPGEPD09dfnyZSUnJ2vmzJmqUaOGs0vPFwhv4BasVqvj2t2qVas0Z84clS1bVs8//zwT0pCnnTx5UomJidq0aZN+++03xcXF6auvvtKMGTPUpUsXWa1WHTx4UG5ubgoICFChQoWcXXK+QXgDmUhLS5Orq6skac2aNWrYsKE++eQTLV26VAULFtTgwYN17733OrlK4PZISUlRVFSUxo0bp8mTJ6tjx47OLinfYsIa8P+uD+prri23b99eCQkJatiwoVq3bq3k5GStWrVKAQEBzigVuC2u/5v45ptvVK9ePT3//POyWCzq2rWrvLy89OSTTzq5yvyJnjegqx/r6ebmJrvdrl9++UUhISEKCAiQp6en+vfvr7Vr1yomJibdrS8JCQny8/NzYtVAzrnRyes17du315UrV7Ry5UpZLBZdvnxZ0dHRatCgASNPTkJ4I9+7NinNZrPpgQce0Llz51S0aFG1aNFCAwYM0Pfff6/69evL09NTqampcnV15VYw5Cn/5OQVzsVTJJCvXT+b/M0331SVKlW0a9cutWnTRlu3blVkZKTCwsLk6emplJQUubm5EdzIU+x2u+Mz6evUqaNnnnlGLVu21OTJk5WUlKTmzZtry5Ytcnd3V2pqqrPLxf8jvJFvpaWlyWKxyG6367HHHtOOHTv04osvysPDQwMGDFDTpk0VFxen8ePH69y5c44nSgF5xT85ecWdgfBGvmSz2eTq6iqr1aq9e/eqQoUKWrZsmXbu3Cnp6kS17t27q0WLFvrll1/09ttviytMyEs4eTUbp1HId66fmFO1alXVrVtXCxYskJubmwYNGqSKFSvqoYcecsyodXd3V3h4OMPlyDOuP3mNj49XhQoVNG3aNDVu3FgPPPCA4+TVxcVFS5Ys0dtvv63IyEj+Bu4ghDfyHVdXV9ntdv3vf/9TgwYN9O6770qSJk2aJKvVqmbNmunLL79U3bp1ZbFY1KlTJydXDOQcTl7zBsIb+cb1n/Q1a9Ys9e3bV1WqVNHx48cVFBQkSZo6dapcXV1Vr149/fzzz6pTp44zSwZyHCeveQPhjXzj+o/o7N27t86fP6+oqCj9/PPPatasmTw9PSVJU6ZMkYeHhwoWLOikSoGcx8lr3kJ4I1/p2rWrUlNTFR0dreHDh+vs2bMaNmyYXF1d1aRJE0eAjx8/3smVAjmLk9e8hYe0IN+wWq1atWqVIiIiVK9ePc2YMUOSNGjQIH399dcaOXKkWrZsyaxa5FnXn7xK0sCBA/XFF19owoQJ6U5ecefjVjHkWTabzfF9amqq3N3d1bRpU40fP17r16/XSy+9JOnqtb66detq0qRJSklJcVa5QK6yWq1q1aqVdu7cqT59+kiSJk+erObNm2vEiBFauXIlv/8GoeeNPM1ut2vYsGGqUaOGWrduLXd3dyUlJen7779X37599dRTT+mNN96QdPXjDwMDA51cMZAzrr/Gfe3xp8nJyVq7dq0GDx6shx9+WLNmzZIk9ezZU9u2bdN3333H8/oNQc8bec7156OpqanavXu3lixZoi+//FIpKSny8vJSnTp1VK5cOY0bN06DBg2SJBUrVsxZJQM5zsXFRXa7XUOHDtWKFStktVrl6emp8PBwTZ48Wd99951GjBghSYqKitJnn31GcBuECWvIU5KSkuTl5SVJSkxMlLe3tz788EP17t1bc+bMkYuLixo3bqyAgACFhYWpdevWevTRRyWJ+1iRJ1z/yNNrJ6+7d++Wl5eXHnvssQwnr0lJSZo0aRInr4Zh2BzGO3TokJYuXaohQ4ZIklJSUtSjRw8lJCTowQcf1IABA5SSkqKXXnpJp06d0t13362AgADNnTtXP//8s0qVKuXkdwDkjBudvCYlJal37946ceKEevbsqcaNG8vT01ORkZEqUaKEHn30UZUpU8bJlSO7CG8Y61oP46OPPtLrr7+utm3bKiIiQs2bN1daWpoaNWqk119/XV27dtWUKVNkt9v1zjvv6Ndff9XRo0f19ttvq3r16s5+G8C/wslr/kR4w0jXDw3u379fGzZs0OLFi1WiRAkVKVJEb731liRp+/bteuKJJ9SyZUu99dZbjlthrvVKAFNx8pq/Ed4wzvXBPXDgQMdEnPvuu0/Tpk3T5cuXtXv3bkf7mJgYtWvXTg0aNNCECRNUpEgRZ5UO5AhOXkF4w1itWrXShQsXNHnyZN11110KCgpSdHS0IiIi9PTTT2vMmDGOths3btQLL7ygb7/9VsWLF3di1cC/w8krJMIbhnrttde0Zs0abdmyJd36S5cu6dNPP9Xs2bPVsGFDvf76645tycnJPEEKeQYnr/kb4Q3jJCcnq3PnzurSpYsef/xxWa1Wubu7O7anpKToww8/1JIlS1ShQgW98847ktL3WACTcfIKHtIC4yQlJem3335TQkKCJDk+m/gaDw8PXbhwQW3atNEff/yhU6dOSeI+buQNycnJOnDggEaPHi3p6mNPrylQoIDat2+vHj16aPPmzXr55Zcd23hmf95CeMM4rq6u8vb21vbt2yVdfZKUzWZzPMv84sWLio2NVa1atfT+++/z8AnkKZy8QiK8YSA/Pz8NHjxYb7/9tpYuXSrpaoBfe47z4sWLtWPHDpUpU0b+/v7OLBXIcZy8QuLxqDBU69attWvXLvXq1UtHjx5V27ZtlZqaqmXLlumtt97S2rVrVahQIWeXCeS4ayev3bp1U9WqVfXMM8+k+6xuTl7zB8IbRvLy8tLQoUMVHByskSNHKioqSkWKFJGnp6fWrFmjatWqObtEINdw8gpmm8N4x48f16lTp1SgQAEVKlRIAQEBzi4JyHWXL1/WwoULNXLkSBUuXNhx8jpt2jSenJYPEN4AYDBOXvMnwhsAAMMw2xwAAMMQ3gAAGIbwBgDAMIQ3AACGIbwBADAM4Q0AgGEIbwAADEN4AwBgGMIbQLZ16tRJXbt2dSyHhoZq3rx5t7WGESNGKDw8/KbbIyIiVK9evSzvr2vXrurUqdO/qskZPwfkT4Q3kIeEh4fLYrHIYrHIz89PYWFhWr16da4fd8uWLerYsWOW2tarV08RERG5WxCQxxHeQB7z8ssv69ixY9q2bZtq1qypli1bau/evRna2e12Wa3WHDlmsWLF5O3tnSP7AnBrhDeQx/j6+iooKEj33HOPZsyYIVdXV3377beSJIvFonnz5qlhw4by9vbW559/LkmaNm2aypYtKx8fH9WuXVvr1q1Lt8/p06erePHiCggI0MCBA/X3j0T4+3Dxvn371LJlS/n7+ysgIECNGjXSuXPn1LVrV/3000+KjIyUxWJRaGio4zUffPCBKlWqJG9vb1WpUkXLly9Pd4xly5YpJCREvr6+6tKli5KSkrL1c5k/f76qV68uX19fhYSEaOTIkUpNTU3Xxm63a+DAgQoICFDx4sU1bdq0dNv379+vFi1ayM/PT3fddZf69OmjK1euZKsOICcQ3kAe5ubmJnd393Q97IiICL300kvavXu3HnroIS1YsEBTp07VrFmztHPnTnXp0kXNmjVTfHy8JGn9+vUaMGCAIiMjtWnTJiUmJmrlypU3PWZycrL+85//yGazae3atdq0aZPatGmjtLQ0TZ06VWFhYRo4cKCOHTumLVu2SJLWrFmjvn37KjIyUrt27dKwYcPUpUsXbdy4UdLVk4FnnnlGzz//vLZu3ap77rlHs2fPztbPwmazadKkSdq5c6eioqI0b948zZkzJ12blStXKjExUZs2bdKYMWM0aNAgx4lMSkqKmjRponvuuUcxMTH63//+py1btmjgwIHZqgPIEXYAeUb9+vXtw4cPt9vtdntKSor9zTfftLu4uNi3bdtmt9vtdkn2iIiIdK8pU6aM/bPPPku3rnHjxvYxY8bY7Xa7vV27dvb27ds7tlmtVnuJEiXszz77rGNdSEiIfe7cuXa73W5fsGCBvVixYvbLly/fsMaHHnrIPnr06HTrGjRoYJ8+fXq6dS+88IL9ueees9vtdvurr75qr1OnTrrtderUsdevX/8mPwm7ffTo0faHHnroptvffPNNe4MGDRzLzz77rL1EiRJ2q9XqWNexY0f7k08+abfb7fZFixbZ77///nT7+Omnn+weHh721NRUu92e/ucA5CY3Z588AMhZEydO1DvvvKPk5GT5+/vr3XffVfXq1R3ba9So4fg+ISFBBw4cUPv27WWxWBzrk5OTVbJkSUlSXFycunTp4tjm5uammjVr3vT4O3fuVFhYmHx8fLJc82+//aaff/5ZQ4YMcaxLSUlxzBaPi4tTWFhYuteEhYVpx44dWT7Ghg0bFBERoV27dunChQtKTU1VqVKl0rWpWbOm3Nz++rcYFhamuXPnOmrcvn27/Pz8HNvtdrtSUlJ05MgRlS5dOsu1AP8W4Q3kMS+88IJeeeUV+fn5KSgoKMP260P18uXLkqSlS5eqcuXK6doVKFBA0tWAuj7Yb8X+t+vhWZGQkKBJkyapSZMm6dZfmwSX3Rr+7tKlS2revLnatWun119/XYULF9bSpUu1cOHCdO0yO0ZCQoIeeeSRGw7XBwcH/+PagH+C8AbymEKFCqlcuXJZahsYGKigoCAdOnRILVu2vGGb8uXLa/PmzY7ltLQ0bdu2TY8++ugN21etWlVLlizRlStXbtj7dnd3V1paWrp11apV0/79+29ad/ny5fXDDz+kW7dlyxZ5enpm+v6uiYuL0/nz5zVhwgQVLFhQknT48OEM7bZu3aq0tDS5uro6jlG+fHlHjStXrlTJkiXl5eWVpeMCuYUJa0A+ZrFYNGzYMI0cOVLvvfee9u3bp19++UXjx4/XmjVrJEm9evXS8uXLNWfOHMXFxal///46f/78Tff5zDPPyM/PT+3bt1dMTIz27Nmj2bNn6/Tp05KkkJAQbdy4UUeOHNG5c+ckScOGDdPMmTP19ttva8+ePdq+fbtmzJihDz/8UJL04osvasuWLRo7dqz27NmjsWPHaufOnVl+n6VLl5a7u7tmzZql/fv3KyoqSp9++mmGdufPn1f//v0VFxenefPm6cMPP1Tv3r0lSR07dpSHh4fat2+vLVu2aO/evfrss880aNCgLNcB5BTCG8jn+vbtq4kTJ2rixImqWLGiWrRooc2bN6tEiRKSpAYNGmjSpEkaMWKEateuLVdXV7Vo0eKm+/P09NTq1atls9n0yCOPqHbt2vr4448d15IHDRqkM2fOqGzZso7r70888YTef/99LV68WFWrVlWjRo30+eefKyQkRJJUrlw5RUdHa/bs2apRo4Z2796tF198McvvMTAwUHPmzNGsWbNUtWpVff311+mur1/zxBNPyM3NTWFhYRo2bJgmTpyoBg0aSLp6GWHdunXy8PBQ48aNVa1aNY0YMYIhcziFxf5PLlABAACnoecNAIBhCG8AAAxDeAMAYBjCGwAAwxDeAAAYhvAGAMAwhDcAAIYhvAEAMAzhDQCAYQhvAAAMQ3gDAGAYwhsAAMP8H0wjlFC7/Dt/AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Recall=0.679 \n",
      "Precision=0.522\n",
      "F1=0.758\n",
      "Average precision-recall score: 0.566\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " SVC \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Recall=0.401 \n",
      "Precision=0.620\n",
      "F1=0.758\n",
      "Average precision-recall score: 0.615\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " DecisionTreeClassifier \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Recall=0.455 \n",
      "Precision=0.491\n",
      "F1=0.726\n",
      "Average precision-recall score: 0.371\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " RandomForestClassifier \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Recall=0.465 \n",
      "Precision=0.545\n",
      "F1=0.748\n",
      "Average precision-recall score: 0.541\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " SGDClassifier \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Recall=0.679 \n",
      "Precision=0.511\n",
      "F1=0.752\n",
      "Average precision-recall score: 0.541\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " AdaBoostClassifier \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Recall=0.489 \n",
      "Precision=0.620\n",
      "F1=0.776\n",
      "Average precision-recall score: 0.637\n"
     ]
    },
    {
     "data": {
      "image/png": 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kyBDFn4cPH45vvvkGV65cQePGjQEAZmZmmD17NiQSCTQ0NLB582Z8++23iseJLVq0CKtWrUJcXBysrKyKPa9z1qxZWLp0KSIiItC+ffsS2/7iiy/wxRdfVHj/MjMz0aBBA8V7uVwOAMjIyCi2HAAePHgAoCgIQ0NDkZOTgwEDBuCbb77B4sWLFe1iY2ORk5ODffv2lXkr044dOzBy5EiVPf2lskRNokGDBgEAQkND3ximAQEBsLe3V/yFmDNnDtatW4fz58/jnXfeKdE+KSkJSUlJJZZHREQAAJZfWA7TJFMAgJa6Fma/PRuNZCX/xUNEJIaff/4Za9aswf379wEUBdWr/49s3LhxsXC5f/8+hg8fXmxSAjU1NcTHx8PKygrffvsttm3bhsTEREgkEqSnp6v8Yh19fX2kp6cr3r/skcpkshJtdXV1ART9v9zIyAhA0VD0unXrioUpAGhra8PHxwe2trZo27Yt2rRpo/gsOTkZx44dw6VLl1S6L5VRK7p1rw8fSKVSODk5ITw8vNQw3bp1a4kf5FX+t/2BZ///3lzfHHPc5qiyZCKqRcrbY6wOsbGx+PDDD3HmzBm4ublBKpWibdu2xSYdeH0mHysrK2zZsgXu7u4l1nfhwgUsW7YMgYGBcHJygpqaGgwNDcucxGDZsmVYtmxZmfXdvn0bVlZWJZY7OTkhLCwMb7/9NoCiTlLjxo1L9EoBwN7eHlpaWhWaOCM/Px8xMTHFwnTnzp2wt7eHq6truddTVWrFBUivDx8ARUMIGRkZpbafOHEirl+/XuK1a9cuAMCZMWfwePZjhE0KAwAkpCdU7Q4QEZVTVlYWgKIrWoGiXmp4ePgbvzN58mTMmzcPMTFFQ9Wpqak4cOAAgKJhVnV1dZiYmCA/Px9ff/11sR7k6+bOnVvsStnXX6UFKQD4+Phg7dq1iI2NRXJyMpYuXVrmRUG6uroYNWoUVq1ahbS0NDx+/BjfffcdvLy8AADnzp3D1atXkZ+fj+zsbHz11VdISUlBp06diq3nxx9/FP3Co5dqRc/09eEDoGgIobThAwCwsLCAhYVFmesz1DGEqZ4p5NpySCBBYmaiSuslIqosR0dHfPbZZ3Bzc4OamhrGjBmj6O2VZfr06ZBIJOjfvz8SEhIgl8vRq1cvDBs2DJ6enujfvz9atmwJPT09fPLJJ2jSpInK6/7www8RGxuL9u3bIy8vDyNHjsT8+fMVn/fp0wddu3bF3LlzAQDfffcdJk+ejCZNmkBfXx8jR47E559/DqDoHwBTp05FbGwstLS04OzsjJMnTxa7AOn69eu4c+cO3n//fZXvS2VIhBrwML9Fixbhzp072LdvX6mf//DDD9i2bRuuXLkCoOiyagsLC+zZs6fUYd6yBAcHo3379rh+/TratWsHADBfbY7mRs1x6QPxx9yJqOoVFBQgKioK9vb2kEqlYpdDVays37u0PFCGqMO8+fn5yMnJQX5+PgoLC5GTk1PqDciDBg1CZGQk9u7di9zcXKxatQoymQzdu3dXuoZGskZIzGDPlIiIKk/UMF26dCl0dHTw9ddfw9/fHzo6OpgwYQKAoqHdCxcuAACMjY3x66+/YunSpZDL5QgICMDhw4dVcluMpYElEjMSq/yJAkREVHeJes500aJFWLRoUamfZWZmFnvv7u5eJRM1NNJvhBcFL/D0+VMY6xqrfP1ERFT31YqreavSy/tLEzJ4RS8REVUOw/R/YcrzpkT1Ax8KXr9U18PgGaYMU6J6RSKRQCKR1JinrVDVysnJgVQqLTHRharVivtMqxLDlKh+kUgkkMvlePToESwtLdlTraMEQUBOTg4SEhJgZmZW5dtjmDJMieodMzMzxMbGIjo6WuxSqApJpVKYmZnB0NCwyrdV78PUVM8UUomUYUpUj6ipqaFp06YoLCzkbXF1lEQiqfKh3VfV+zBVk6jBQmbBMCWqh6rzf7ZUt/FvEjgLEhERKYdhiqIwfZj5EAWFBWKXQkREtRDDFEWzIBUIBXiS/UTsUoiIqBZimIJX9BIRkXIYpmCYEhGRchimYJgSEZFyGKZgmBIRkXIYpmCYEhGRchimAIx0jKAp1WSYEhFRpTBMUTTtFCduICKiymKY/g/DlIiIKoth+j+NZI3wOOsx8gr4jEMiIqoYhun/NNJvBAECHmU9EruUcotKicLZf86KXQYRUb3HMP2f2nRF7/1n9/H+L+/DYaMDev7cE3FpcWKXRERUrzFM/6c2hKkgCNgZthNtNrfBrhu70MSgCQQICE4KFrs0IqJ6jWH6PzU9TNNy0jA6YDTG/DoG+pr6+G30bzg07BAAIOxhmMjVERHVbwzT/6nJYfrngz/hstUFe8P3wquFF25MvgFPW0+0MmsFqUSK0EehAICYpzEYHTAa5qvNcf/ZfVFrJiKqT9TFLqCmqIlhml+Yj6VBS/FV0FfQlGpic7/NmNh+IiQSCQBAW10bLU1a4mrCVUw6NgnbQ7YjvzAfABCZHAkbuY2I1RMR1R/smf6PgZYBdDV0a0yY3n92H939umPx+cVobdYa1z+6jkkdJimC9CUXcxckZCRg6/WtcG3kig/bfihSxURE9RfD9H9q0ixIe27ugfMWZ/z54E980vkTXPnwChxNHUtt+2G7D9HPrh+OjjyKSx9cQqfGnaq5WiIi4jDvKyxllrj5+KZo20/PTce0E9Ow88ZONNRriP1D9uNd23ff+B13G3e427hXT4FERFQq9kxf0UjWCE+fP0VOfk61b/ty/GW03doWO2/sRD+7frgx+ca/BikREdUMDNNXvLwIKSkjqdq2WVBYgKVBS9FlRxckpCdgfZ/1ODryKMz0zCq1PkNtQwDAtcRrqiyTiIjegGH6iuq+ojcuLQ4eP3lgQeACOJg64NpH1zCt47QSFxlVxIAWA9BU3hTf/vUt0nLSVFgtERGVhWH6iuoM01uPb8FliwsuxF3A9I7T8feHf8PJzEnp9WpKNbGw+0Kk5qRi7eW1yM3PVUG1RET0JgzTV1RXmCZnJ2PA3gHIeJGBX4f/iv/2+S90NHRUtn7vNt6wN7bH4vOLof21Nn6P+V1l6yYiopIYpq94GaYJGQlVto0XBS8w+MBg/PPsH2zquwkDWw5U+TbU1dTxdY+vFe85ET4RUdVimL6ioV5DAMDjrMdVsn5BEDDl+BQExQZhRqcZmNB+QpVsBwCGOA7BjwN/rLL1ExHR/2OYvkJfUx9aUi08yX5SJetfd3kdtodsh2dzT6zuvbpKtvEqc33zKt8GERExTIuRSCQw1TPFkyzVh+nJ6JOY/ftstDRpif1D9kNdjfNlEBHVFQzT15jqmqq8Z3rr8S0MPzgccm05jo48igbaDVS6fiIiEhfD9DWq7pm+vHL3ef5zHBx6ELZGtipbNxER1QwM09eY6poiKy8L2XnZSq/r1St3N/TZAI+mHiqokIiIahqG6WtMdU0BQCW908XnFiMoNgjTO07HxA4TlV4fERHVTAzT15jq/S9MlTxvevPRTaz8cyWcGzrj297fqqI0IiKqoRimr1FFz7SgsAATjk5AoVCIbV7boCHVUFV5ShMEAX89+AsZuRlil0JEVGcwTF+jip7p99e/x5WEK5jRaQY6NOqgqtKUlpydjCH+Q/D2jrfx2e+fiV0OEVGdwTB9jbI90/TcdPie84WFvgWWeCxRZWlKOXX3FFpvbo2AiABoqGngcORhFAqFYpdFRFQncOaA1yjbM11xcQWeZD/BtgHboK+pr8rSKu3j3z5Gdl42DLQMsPO9nYrzudcTr8PV0lXs8oiIaj32TF+jTM/0QdoDrLm8Bk5mTvBx8VFxZZWXnZeNbtbdcGPSDXi38caAFgMAAEejjopcGRFR3cAwfY1cWw51NfU39kzP3T+HX+/8WmL5V0FfISc/B6t6rYJUTVqFVZZPM8NmaKjXEJ+7fY6zY87CWm4NAHir8Vsw0jHCsahjb/x+Tn4OHzBORFQODNPXSCQSmOialBmmhUIhvAO8Me3EtGLLE9IT4Bfqh7ebvA3P5p7VUeq/sje2x8PZD7G85/Ji4S5Vk6KvXV+EPAxBfHp8qd89HnUcduvtYPGtBT7//XOkZKcgryAPKdkp1VU+EVGtwXOmpTDVLXtKwUtxl5CQkaB4XNtL3/71LfIK8zC3y1xIJJLqKFMpA+wHYNeNXVh8bjE8mnqggVYDGGgZQEdDB2v+WoO94Xsh05ShqWFTrPxzJTZf24y8wryiXvtnT6Ctri32LhAR1RgM01KY6pniWuK1Uj87cOtAiWXJ2cnYen0rnBs6o69d36ouTyU8m3tCT0MP20K2YVvIthKfe7Xwwqa+m2Ahs8CBWwewMHAhop9GAyg6B8swJSL6fwzTUpjqmiI9Nx25+bnQUtdSLC8oLMDBiIMl2q+/sh7ZedmY27V29EoBoIF2A4RPCcfdp3eRnpuueKXlpMHF3AX97fsr9mWE0wgMazUMk45Nwg/BP+A/+/6DyJRI3J5yG8a6xiLvCRGR+BimpXh5RW9ydjIsDSwVy4Nig/Aw82GxtgWFBdgRugNNDJpgsMPgaq1TWTZyG9jIbcrVVk2iBjVJ0Sn2C3EXAABXEq7Ump44EVFV4gVIpSjrXtOXQ7wmuiaKZYH3AxGfHo/327xfI67grUrvNH0H3a27Y1WvVQCAG49uiFwREVHNwDAtRWn3mgqCgCNRR9DSpCVamrRULP857GcAwBjnMdVbpAiGthqKcz7nMLF90RNwGKZEREUYpqUw0zMDULxn+s+zf5CYkQgPm/9/JmlGbgYORRxC58ad0cKkRbXXKRaZlgzNDJsxTImI/odhWgrFMO8rPdOLcRcBAF2tuiqWHYo4hOy8bIx1Hlu9BdYATmZOuPXkFqzXWeNB2gOxyyEiEhXDtBSKYd5XeqYXYosuuulq/f9h+lPYT9CSamF4q+HVW2AN8FbjtwAAcWlx2Bu+V+RqiIjExTAtRWk90wtxF2Ajt0Fjg8YAgNScVJy7fw5eLbxgqGMoSp1i+qTzJzg75iz0NfUREBEgdjlERKJimJbCSMcIahI1Rc/0cdZjRKZEootVF0WbFwUvAKBeDvECgJa6FjyaemCA/QBcSbiChPQEsUsiIhINw7QUahI1GOsYK8L0UtwlAMXPlwJAQ72G8LStGfPwimWQwyAAKHXifyKi+oJhWgZTvf+fn/flJAWvh+no1qOhrla/57141/ZdaEm1EHCHQ71EVH8xTMtgqmuq6JleiLsAYx3jYveXAsBYl/o5xPsqfU19eNp64vz980jOTha7HCIiUYgaps+ePcOwYcMgk8lgaWmJTZs2ldn2wIEDcHR0hEwmg729PXbu3FmltZnqmeLp86dIy0lDSFIIulh1UcxV69ncE6Nbj0abhm2qtIbaYlDLQSgQCnA0kg8bJ6L6SdQxymnTpiE/Px+JiYm4e/cuevbsCQcHB3h4eBRr9+DBA3h7e+PQoUPo378/Ll68CE9PT7Rv3x6Ojo5VUtvL22OORx9HgVBQbIh3frf5VbLN2mpAiwGQSqQIuBOAcW3HiV0OEVG1E61nmpWVBX9/fyxduhQymQxt27aFj48PduzYUaJtXFwc5HI5BgwYAIlEgq5du6J58+a4fft2ldX3Mkxf3vbx6v2lVJyRjhHcbdxxOuY0MnIzxC6HiKjaiRamUVFREAShWM/SxcUF4eHhJdp26tQJ9vb2+OWXX1BYWIjAwEA8evQIbm5upa47KSkJwcHBJV4RERHlru/lvaYn756EroYu2pq3reAe1i+DHQbjRcELvLv7XYQ/LvkbEhHVZaIN82ZmZsLAwKDYMrlcjoyMkj0bdXV1jBs3DmPGjMHz58+hpqaGbdu2wcLCotR1b926FYsXL1aqvpc90+y8bPRo2gMaUg2l1lfXjW83Href3MbGqxvRdmtbzHprFhZ2XwhdDV2xSyMiqnKi9Uz19fWRnp5ebFlaWhpkMlmJtqdOncLs2bNx+vRpvHjxAiEhIfD19cXx48dLXffEiRNx/fr1Eq9du3aVu76XPVOg5C0xVJKmVBPr+67HlQ+voLVZa6y4tAKtNrXCiegTAIAHaQ/w0dGP8Me9P0SulIhI9UTrmdrb20MikSAiIgIODg4AgNDQUDg5OZVoe/PmTbi5ueGtt4rmg23VqhX69u2LkydPol+/fiXaW1hYlNlrLa+XPVMAxWY+ojdztXTF3xP+xoa/N2BB4AL029MPvZr1wl/xfyHzRSZy8nMQlRKFDo06wNXSVexyiYhUQrSeqZ6eHoYMGYIFCxYgIyMDYWFh8PPzw7hxJa8G7dixI/78809cvXoVABAZGYkTJ07A2dm5yup72TOVSqTo3LhzlW2nLlJXU8fMzjMRMTUCgxwG4fd7v0OmWTTisPPGTkw5MQUrLq0QuUoiItUR9T7TjRs3QiKRwMLCAn369MGSJUvQo0cPAEXDwBcuFM081K1bNyxbtgyjR4+GTCZDr169MHLkSIwfP77KajPRNYEEErSzaAd9Tf0q205d1tigMQ4NO4TQiaEImxQGNYkaNKWaAIACoUDk6oiIVEfU+0zlcjn8/f1L/SwzM7PY+0mTJmHSpEnVURaAot7Vxr4bS8x6RBXnbF40gnB81HE0M2yGVptaiVwREZFq1e+JZf/FZNfJYpdQp7xr+67YJRARVQnOzUtERKQkhikREZGSGKZERERKYphStTPQMkBwUjDn8SWiOoNhStVusftixKXF4fMzn4tdChGRSjBMqdpNcZ0Cdxt3bL62mdMLElGdwDClaqcmUcN2r+3Q09DD+CPjOdxLRLUew5RE0cywGVb0XIHYtFgMOjAIv8f8joJCzopERLUTw5REM9l1MkY4jcCZe2fQe1dvDNw3EAnpCRhyYAgG7B0AQRDELpGIqFw4AxKJRk2ihr2D92KJ+xL02tkLgfcD4bjJEem5RY/mS8xIhKWBpchVEhH9O/ZMSXR2xnYw1jVGdl42ZJoyeLfxBgAEJwWLXBkRUfkwTKlGGN92PD7p/AluTbmFGZ1mAGCYElHtwWFeqhGmuE5R/NnJzAnqauoIfsgwJaLagT1TqnG01bXRyrSVomfKC5GIqKZjmFKNZGdsh/j0ePTd3RdN1jZBfHq82CUREZWJYUo1klQiBQCcvHsSCRkJmHJ8CnuoRFRjMUypRmpn0Q52RnY4MeoERrUehaNRR+F/21/ssoiISsUwpRppjtscRE2PQh+7PljnuQ7GOsaYfnI6UrJTxC6NiKgEhinVeKZ6plj37jo8znqM2b/PFrscIqISGKZUK4xuPRqezT3hF+qH32N+F7scIqJiGKZUK0gkEmztvxV6GnqYcHQCtlzbgtCHoWKXRUQEgGFKtYi13BprPNcgLi0Ok49PRtutbTHn9zl45+d3EJkcKXZ5RFSPMUypVvmo/UeI/zQec96eAwBY9ecqnP3nLC7HXxa5MiKqzximVOs0kjVCj6Y9ii27EHcBWS+yRKqIiOo7hinVSp62nng8+zGez3uOrlZdsT1kO/S/0Yf1OmsExQaJXR4R1TMMU6q1TPVMoa2ujd+8f8Pyd5ajr11fxKXF4ULsBbFLI6J6hmFKtZ6uhi4+7/I5vu7xtdilEFE9xTAlIiJSEsOU6pz5gfPx14O/xC6DiOoRhinVGepq//+s+83XNotYCRHVNwxTqjMcTR2xoc8GAEDYozCRqyGi+kT935sQ1Q5qEjVM7TgVp++dxvGo48jJz4GmVBOH7xxGcnYyjHSM4G7jDmNdY7FLJaI6hmFKdU4783Y4EnkEh24fwvfB3xe773Sww2AcHHZQxOqIqC5imFKd086iHQDA+xdvAMDkDpPh1cILgw8MRlxaHGacnIE7KXfQQKsBDLQM0ECrAZzNneHdxhtqEp75IKKKY5hSndPRsiP0NPRgLbfG9/2/h5uVGwBAU6qJq4lXcTXxKnTUdfA8/3mx7+0I2YEdA3egmWEzMcomolqMYUp1TkP9hoidGQsDLQNoSDUUy010TaAp1cRaz7UY6TQShUIhMl5kIPV5Klb/uRqbrm1Cm81tsKrXKkzsMJG9VCIqN4Yp1UmlXWR05cMr0FbXhq6GLgBAKpFCri2HXFuOjf02YpDDIHxw5ANMOTEFp2JO4Zfhv0AikVR36URUC/Gf3lRvGOkYKYK0NO80ewc3J99Ed+vuOBx5GI+yHlVjdURUmzFMiV5hoGWA1matAQD5hfnYdHUT+u/pj/P3z4tcGRHVZBzmJXrNy97rW9vfQnx6PADgePRxbOq7CZNdJ4tZGhHVUOyZEr1mZueZ6NG0B55kPcG8rvMQOjEUdkZ2mHJiCjZf5TSFRFQSe6ZEr7GQWeCPMX8gNz8XWupaAIDAsYHw+MkDU05MgUQiwaQOk0SukohqEvZMicrwMkgBwNLAEoFjA2FrZIvJxydjy7UtIlZGRDUNe6ZE5fQyUD1+8sDk40XnTid1mIT8wnw8yXqCh5kPS7weZz/G8FbD8Z+W/xG3eCKqUgxTogpobNAYgWMD4e7njsnHJ+O3u7/hj3/+QOaLzDK/8zjrMcOUqI5jmBJVUGODxjjncw6jDo3C4cjDsDe2R+9mvWGub17i5bTZCdl52Yh5GoPn+c/RVN4Uepp6Yu8CEakYw5SoEhobNMZ5n/OIS4tDI1mjYtMWvupZzjNcjr8M2/W2AIAuVl1wYdyF6iyViKoBL0AiqiSJRAJruXWZQQoAbk3cYKhtiM/e/gymuqZ4lMlZlYjqIoYpURW6+MFFpMxJwcpeK6GjoYPop9GY98c85BfmK9pcT7yO3+7+JmKVRKQshilRFXs5Wb6JrgkAYNnFZRi4byD+evAXBu4biA4/dED/Pf3feBETEdVsPGdKVE1+GPADEtITcCjiEH4K+wknok8AAAy1DZGak4qnz59CX1Nf5CqJqDLYMyWqJu0s2mFAiwH4ceCPWNZjGUY4jUDIxBAMchgEALBeZ83eKVEtxZ4pUTWTSCT4suuXivcdLTtie8h2AEB6bjp7p0S1EHumRCL7qP1HmNFpBgBgxcUVmH92Pq7EX4EgCIo2giAgLSdNrBKJ6F+wZ0pUAxjrGAMA/vv3fwEAX1/4Gs0Nm+Nd23dx9+ld/J3wN1JzUnHK+xR6N++NuLQ47L25F50bd0Z3m+5ilk5EYJgS1Qifd/kcnraekGnKkJ6bjv239mNv+F5svLoRWlItNDZojNScVAT+E4j94fvx842fFbfXDHUcitW9V8OqgZXIe0FUfzFMiWoATakmOlp2VLzv1LgTVvVahXup92Att8a5++fgucsTyy8tBwB0teqKaR2nYW/4Xvjf9sexqGP46T8/YWiroeXepiAIiEqJwv5b+/Hngz/hYeOBWW/Pgroa/7dAVFH8r4aohpKqSWFnbAcAaGbYDJpSTXS37o753eajm3U3AMCwVsNwPOo4+u/tj2EHh6F1UGuY6pnCRNcEJjomMNE1gameKd5q/Bbupd5DVl4W1CRq+OOfP/DHvT+QkJEAAFCTqOFUzCm80+wddGjUQbR9JqqtGKZEtYCtkS1y5uUoJoB4VT/7fpj91mxcenAJydnJCEkKQWpO6r+u08HEAe+1fA+9m/dGRHIEPj/zOfIK8qqifKI6j2FKVEuUFqQvreq9qtj7vII8PH3+FMnZyRj761hEpURBri2HkY4RZnSaAU9bTzSSNVK0j34aDQDYG74XW65vwfo+62GgZVA1O0JUBzFMieogDakGGuo3REP9hrj20bVyf2/93+sBAMMch6Gffb+qKo+ozuF9pkSEns16onfz3vBq4QUA6L+3PwIiAord60pEZRM1TJ89e4Zhw4ZBJpPB0tISmzZtKrNtTk4OZsyYATMzMxgYGKB9+/bIyMioxmqJ6q42DdvglPcpzO0yV7Fs8IHBaLSmEYb5D8Pem3uR9SJLxAqJajZRh3mnTZuG/Px8JCYm4u7du+jZsyccHBzg4eFRou2kSZOQlZWFmzdvwtTUFDdv3oSmpqYIVRPVXZ0ad0LBwgIcvnMYgfcDcSHuAg7ePgj/2/7Q09DDIIdBGN16NN5p9g5voSF6hUQQaRwnKysLRkZGCAkJgaOjIwBg1qxZePz4MXbu3FmsbVRUFDp06IC4uDjI5fJKbzM4OBjt27fH9evX0a5dO2XKJ6o3nmQ9wYFbB7Dr5i5cjr8MAGio1xAjnEbAu4032lu0f+PFUUQ1karzQLRh3qioKAiCoAhSAHBxcUF4eHiJtleuXIG1tTUWL14MExMTODg44Pvvvy9z3UlJSQgODi7xioiIqJJ9IarLTPVMMbXjVPw1/i9ET4/GYvfFMNAywHdXvoPrD65oubElvjr/FUIfhipureG5VqpvRBunyczMhIFB8Uvv5XJ5qedBHzx4gPDwcHh5eSEhIQE3btxAr169YGdnV+qQ8NatW7F48eIqq52ovrI1ssXC7guxoNsCXEu8hl03dmFv+F4sPLcQC88tVLQz1zdHS5OWCBwbKGK1RNVHtDDV19dHenp6sWVpaWmQyWQl2urq6kIqlcLX1xeamppwdXXF0KFDceLEiVLDdOLEifDy8iqxPCIiAt7e3qrbCaJ6SiKRwNXSFa6WrvjW81v8ce8PXIi7gK8vfA0AeJj5kL1TqlcqHabHjx/H+fPn8fjxYxQWFhb77Oeff/7X79vb20MikSAiIgIODg4AgNDQUDg5OZVo26ZNmwrVZmFhAQsLiwp9h4gqR11NHZ62nvC09cSo1qOQlJGEhecWIuxhGLYFb0Nrs9ZIz01Hak4qBjsMhlRNKnbJRCpXqXOmn3/+OQYNGoQbN24AAKRSabFXeejp6WHIkCFYsGABMjIyEBYWBj8/P4wbN65E227duqFZs2b4+uuvkZ+fj5CQEBw8eBADBgyoTPlEVEUcTR3xTrN34GTqhKy8LEw4OgGdt3dG7129MfzgcPTc2ROJGYlvXIcgCLj56CZmn54Nx42OOB51vJqqJ6q8SvVMd+zYAX9//1KHUiti48aNmDBhAiwsLGBgYIAlS5agR48eAIqGgU+ePImuXbtCXV0dR44cwYQJE7B69Wo0atQIa9asQbdu3ZTaPhFVjS39t+DLrl/i5qObuPn4JgoKC5CUmYTN1zbDeYszVvdaDamaFKnPU9HKrBVczF1w9p+zOHX3FE7fO424tDjFui49uMTZmKjGq1SYamhooEWLFkpvXC6Xw9/fv9TPMjMzi71v2bIlLly4oPQ2iajqSSQS2MhtYCO3wYAW/z+C1KtZL4w/Mh4+h33K/K69sT2muU5DV+uuGH5wOC7HX0Z+YT7va6UarVJ/O+fNm4fly5fj+++/h4aGhqprIqI66j2H9+Bq6YrjUcdhqmeKmKcxWHt5LTpadkQf2z7wtPWEjdxG0f7U3VPYEboDZqvMYGdshzlvz8Fgx8EAgPTcdOTm58JE14T3uZLoKjVpQ9euXXHjxg1oaGjAzs6uRKAGBQWprEBV4qQNRLXLi4IXWHB2Af6K/wthj8KQnZeNhnoNkZCRAA01DeQV5kFfUx/NDZujrUVbvNfyPfRq1gs6Gjpil041nKrzoFI90549e6Jnz55Kb5yI6E00pZpY0WsFAODW41vo+mNXxQPNu1l3QzPDZohJjUHM0xj4hfrBL9QPehp66GffD4NaDkJfu76QaZW83Y5I1SoVpr6+vqqug4jojVqZtULszFg8yX4CTakmGhs0Lvb5P6n/ICAiAAF3AnDg1gEcuHUAAPDfd/+L3IJc+IX64daTWwCAHV478L7z+zwPSypT6bl5BUHAb7/9hsjISACAg4MDevfuXaPPXXCYl6h+SMxIhNsON9x/dr/MNo6mjpjcYTKGOg5FQ/2G1Vcc1Qg1Ypj37t278PLyQmxsrOKq3sjISDRt2hSHDx9G8+bNlS6MiKiyGska4djIYwiICEA7i3ZQk6jB3cYdUjUpridex/Ho41h3eR2mn5yOGb/NQM9mPTHSaSTea/keGmg3ELt8qoUq1TPt3bs3dHR04OfnB0NDQwDA06dP4ePjg9zcXJw6dUrlhaoCe6ZE9FLWiywcjTqKPTf34Le7vyGvMA9aUi30s++HkU4j0c+uHy9kqsNqRM/04sWLuHbtmiJIAcDIyAjffPMNOnbsqHRRRERVTU9TDyOcRmCE0wg8ff4UAREB2HNzD36J+AUBEQGQacrwn5b/wbyu89DCRPn76qluq9R0gjKZDHFxcSWWx8XFlTpRPRFRTWakY4QP232Is2PPIv7TeKz1XIsWJi2w88ZOLL+0XOzyqBaoVJiOHTsW48aNw9atWxEaGorQ0FBs2bIFH3zwAXx8fFRcIhFR9Wkka4SZnWfi4riLAKB4RivRm1RqmPebb76BXC7HokWL8OjRIwBAw4YNMWPGDHz22WcqLZCISEwFQoHYJVAtUKkwlUqlmDt3LubOnat4JunrD/omIqrNpGpS6KjrYF/4PkQmR2L227NhrGOMTo07Qa4tF7s8qmEqNcz7KgMDAwYpEdU56mrquPhB0VBvyMMQjA4YjXd3v4sRB0eIXBnVROXumVpZWSEkJATGxsZo0qTJGydnKO3iJCKi2qadRTs8nPUQEckRePr8KSYcnYDUnFSxy6IaqNxh+tVXX0FfXx8AsHTp0ioriIioJmmo31AxQ9LM32YiOiUaT7KewFTPVOTKqCYpd5iOHTu21D8TEdUXGS8y8CznGYYfHI6zY8+KXQ7VIJU6Z3rlyhWEhIQo3vv7+6N///6YPXs2nj9/rrLiiIhqkqUeRaNyD9IfiFwJ1TSVCtNJkyYhNjYWABAVFYUxY8bA2toaZ86cwSeffKLSAomIaoqpHaeihXEL6KhzmkEqrlJhGh0dDWdnZwDA/v378e6772Ljxo3Ytm0bDh8+rNICiYiIarpK3WeqpaWFnJwcAMDvv/+OMWPGAACMjY2RlpamuuqIiGqgR1mPsPLSSuhq6KKTZSe4WrqKXRKJrFJh2qNHD8yaNQtubm64du0a/P39AQC3b9+GjY2NKusjIqpRGskaITIlEp+f+VyxTEddB9rq2jDVM4VrI1eY6ZnBs7knPG09RayUqlOlhnm3bt0KGxsbXLlyBfv370fDhkWXjV+9ehWjRo1SaYFERDXJ8VHHET45HH9/+DfebvI2ZJoydLPuBhdzFwiCgN03d2Pt5bV4d/e7CIgIQCWeckm1UKWeZ1pb8XmmRFTV/k74G91+7IbcglwAwEinkdjcb3Oxh46/KHiBrBdZCHsUhk6WnfjcVBGI9jzTs2fPolu3blBXV8fZs2++v6pHjx5KF0ZEVBt1tOyIJ589wbGoY9gbvlfxmvP2HFxNvIrIlEgkZiQq2ss0ZTg5+iTcrNwUyxIzEnE65jQ6WnaEo6mjGLtBFVTunqmamhoePnwIMzMzqKmVPToskUhQUFAzn7LAnikRVSdBEDDjtxlY//d6AICehh4cTR3R1LAp4tLicDn+sqJtc8PmeKvJW4hMjsTVxKsAAK8WXjg8gndIVAXReqaFhYWl/pmIiEonkUiw7t11eL/N+8grzEN7i/bQUtdSfB74TyAux1/G3ad3ERQXhF03dsFAywAjnEYgICIAj7Me43necw4D1wKVupqXiIjKR02iVuatMx5NPeDR1EPxPjk7GQZaBtCUaqLZd81wOf4yTFeZor99fwxxHIK+dn2hq6FbXaVTBVTqat5p06Zh48aNJZZv3LgRM2bMULooIqL6yETXBJpSTQDApQ8uYU3vNXA2d8b+W/sx1H8o9Jbp4ZsL34hcJZWmUmF66NAhuLm5lVjepUsXHDhwQOmiiIjqOwuZBT556xNc+uAS4j+Jh7m+OQDg6wtfi1wZlaZSYfrs2TPo6JQcw9fW1sazZ8+UrYmIiF5haWCJex/fg72xPZ7nP4f1Omt09+uOtBzOOFdTVCpMnZ2dsXv37hLLd+7cCScnJ6WLIiKi4nQ0dPBp50/R3qI94tLiEBQbBJvvbLD43GKkPucDy8VWqQuQvvrqK/Tv3x+hoaFwd3cHAJw7dw6nT5/G0aNHVVkfERH9z8QOEzGxw0TkFeRh983dWBq0FIvOL8L6v9cj/tN4aKtri11ivVWpnmmvXr0QEhICIyMj7NmzB7t374aRkRFCQkLQq1cvVddIRESv0JBqwMfFB3em3cHbTd5GyvMU6HytgyXnl+Cf1H/ELq9e4nSCRES1WGRyJDr80AGZLzIBFN2KM7DFQMzoNAPdrLtBIpGIXGHNpOo8qFTPFADi4uKwbNkyTJgwAU+ePAFQNNQbHR2tdFFERFQ+LUxa4J8Z/+DAkAM4OvIo+tj2wS93foH7T+5o9307/Bz2MwoFTrRT1SoVpufPn4ejoyPOnz+Pn3/+GRkZGQCAK1eu4Msvv1RpgURE9GYmuiYY2moo+tv3x7FRxxA5LRLTXKchOiUaY38di5PRJ8Uusc6rVJjOmTMHK1aswKlTp6CpqalY/s477+Cvv/5SWXFERFRx9sb2WN93PbZ7bQcAZOVliVxR3VepMA0PD0e/fv1KLDcyMkJKSorSRRERkfKkalKxS6g3KhWm5ubmpZ4bDQoKQrNmzZQuioiIqDap1H2mM2bMwJQpU/Ddd98BAG7fvo2TJ09iwYIFWLlypUoLJCIi5WXnZePu07s4c+8Mzv5zFhkvMrDEfQm623QXu7Q6oVJh+vHHH0NfXx/Tp09HVlYWvLy8YG5ujiVLluDDDz9UdY1ERKQEn1998Dz/eYnlhyMPM0xVpMJhmp+fj+PHj8PLywsffPABsrKykJWVBTMzs6qoj4iIKqmdRTu0t2gPXQ1dWDWwglUDK3Sx6oLmhs3RcmNLrL28Fq3NWmNc23Fil1rrVThM1dXVMXLkSNy+fRsmJibQ09ODnp5eVdRGRERKaGbYDNc+ulZieU5+Diz0LZCUmYQJRyfA3cYdTQ2bilBh3VGpC5DeeustBAcHq7oWIiKqBtrq2oiYGgEAKBAKMP3kdFyMu4gDtw4gIT0BydnJyMnPEbnK2qVS50xHjRqFmTNn4vbt23BxcYGubvEnv/fo0UMlxRERUdVooN0AB4YcwLCDw3A8+jiORx8v/rlWAwRPDIaN3AZqkkpPlldvVCpMJ0yYAABYuHBhic8kEgkKCgqUq4qIiKrc0FZD8av0V5yKOQVzfXP4nvOFTFOGjBcZSMtNQ/P/NgcALPVYiu423dHFqovIFddcFQ7Te/fuYfPmzcjPz0fXrl3Rpk2bqqiLiIiqwcCWAzGw5UAAwMLuCyEIAp4+f4oVl1Zg1Z+rAADzA+dDKpHiz/F/oq15W2hINcQsuUaqUJiePn0aAwcOhLq6OtTV1ZGZmYktW7Zg/PjxVVUfERFVI4lEAmNdY6zstRLfvPMN4tPjcevJLQzcNxCdtnVCY4PGiJ0Zy6Hf11ToaCxYsAA+Pj549uwZUlNT8dVXX+GLL76oqtqIiEhEUjUprOXW6GvXF2t6rwEAxKfHI78wX+TKap4Khent27cxe/ZsSKVF8z3OmjULaWlpePz4cZUUR0RENcP0TtMx0mkkAGDvzb282vc1FQrT7OxsGBgYKN5raGhAS0sLmZmZKi+MiIhqFi11LQCAz2EfmK0yw9HIoyJXVHNU6JypIAhYvnx5sUkaXrx4gbVr18LQ0FCxbMmSJaqrkIiIaoS5XebCTNcMz3Ke4VDEIQzxH4KkWUkw0jESuzTRVShMu3XrVmKyhrfffhvh4eGK9xKJRDWVERFRjWJnbIcVvVYAKLpPddWfq/As5xnDFBUM03PnzlVRGUREVJtIJUXXzjzMfIhmhnz0Jq9tJiKiCnvP4T1IJVJ09+uOE9EnEPYwDNEpJZ9zXV8wTImIqMI6WnbEFNcpyC/MR789/eCy1QX2G+wRnFQ/522v1HSCREREvt194WTmhILCAiy7uAzx6fH4JeIXBMUG4aP2H0FXQ/ffV1JHMEyJiKhSjHWN8VH7jwAAmlJNfHj0Qyy9sBQA8MmpT3DlwyvoaNlRzBKrDYd5iYhIaX3t+uKjdh9hmus0xbJO2zqh5YaWkH0jwy8Rv4hYXdVjmBIRkdIsZBbYOmAr1vddj2efP8M4l3Ho3LgzIlMikfkiE4MODIL+Mn18HfS12KVWCQ7zEhGRSjXQboAdA3cAAJ7lPEObzW2QnpsOdTV1LDq/CP3s+8HF3EXcIlWMPVMiIqoycm054j6Jw7MvnuH0+6chCALGHxlf5ybLZ5gSEVG1aGfRDp+9/RmCk4Kx6eomsctRKYYpERFVmy+7fgkAmPHbDNivty82Wb4gCIh9Founz5+KVV6liRqmz549w7BhwyCTyWBpaYlNm/79Xyp+fn6QSCTYsmVLNVRIRESqpKehB0uZJQAg+mk0vPZ5ofXm1pAslkBtiRpsvrOB8UpjbLm2BUcij4hcbfmJegHStGnTkJ+fj8TERNy9exc9e/aEg4MDPDw8Sm2fkpKC5cuXw8nJqZorJSIiVZCqSXH347t4lPkIm65uwpGoIwh/XPSwFFsjW9x9ehcAMPn4ZADADwN+wIftPhSt3vISLUyzsrLg7++PkJAQyGQytG3bFj4+PtixY0eZYTpr1izMnj0bu3bteuO6k5KSkJSUVGJ5RESESmonIqLK01bXhrXcGit6rVA8heal3PxcXIy7iNEBo/Eo6xEmHJ1QK8JUtGHeqKgoCIIAR0dHxTIXF5dij3N71blz5xAVFYXx48f/67q3bt2K9u3bl3h5e3urrH4iIlI9LXUtvNPsHSR8moAOjTqIXU65idYzzczMhIGBQbFlcrkcGRkZJdrm5uZi6tSp2LVrV7melzpx4kR4eXmVWB4REcFAJSKqBaRqUtjIbXAt8ZrYpZSLaGGqr6+P9PT0YsvS0tIgk8lKtF2xYgV69uyJtm3blmvdFhYWsLCwUEmdREQkLkEQytWREpNow7z29vaQSCTFzmOGhoaWenHR2bNn8dNPP8HExAQmJia4dOkSZs+ejTFjxlRnyUREVI3U1Yr6ex23dUShUChyNW8mWpjq6elhyJAhWLBgATIyMhAWFgY/Pz+MGzeuRFt/f3+Eh4cjNDQUoaGh6NChA+bPn4+1a9eKUDkREVWHeV3nAQCuJV7Dnw/+REZuydOANYWo95lu3LgREokEFhYW6NOnD5YsWYIePXoAKBoGvnDhAgDA1NQUjRs3Vry0tLQgl8thbGwsZvlERFSFnMycMNV1KgCg649dYbXOClkvskSuqnSi3mcql8vh7+9f6meZmZllfu/cuXNVVBEREdUky95Zhq5WXbHp2iYExQZh9Z+r4evuK3ZZJXA6QSIiqrEMtAww3Gk4ulp1BQAsOr8Isc9iRa6qJIYpERHVeJ++9SlambYCAOQV5olcTUkMUyIiqvGMdIzg1aJo/oCg2CBEJkciOy9b5Kr+Hx8OTkREtYKapKj/N/5I0Ux4uhq6uDHpBpobNRezLAAMUyIiqiXeb/M+sl5koUmDJlh+cTmeZD+B7XpbxM6MhVUDK1FrY5gSEVGt0MKkBda+WzS/QH/7/mixoQUA4NbjW6KHKc+ZEhFRrWNvbI8dXjsU7zNyMxCZHCnaTEnsmRIRUa32/i/vI+V5CgDg1+G/YmDLgdVeA3umRERUKzmYOqCBVgOY6ZnBrYkbAOBx1mNRamHPlIiIaqXOjTvj2RfPAACnY07Dc5enaLWwZ0pERKQkhikREZGSGKZERERKYpgSEVGd8dGxjxAUG1Tt22WYEhFRrdfRsiNs5DYAgNCHodW+fYYpERHVenJtOXa+txMAMOO3Gfg74e9q3T7DlIiI6gTrBtaKP487PA5pOWnVtm2GKRER1QlNGjRBzMcxkECC209uo5tfNzzJelIt22aYEhFRndHMsBnufnwXc7vMxY1HN7D52uZq2S7DlIiI6pRmhs3wYbsPAQCZLzKrZZsMUyIiqnPU1Ypmy72WeK1azp0yTImIqM5pbNAYo1uPRuD9QMhXyPHB4Q8QlxYHQRCqZHsMUyIiqnMkEgl+fu9nrPUsepj4j6E/wnqdNSYdm1Ql2+NTY4iIqE5Sk6hhZueZcDR1RHBSMA5FHML3wd9jYoeJqt+WytdIRERUg/Ru3htfdPkC2722AwC+/etblW+DYUpERPVCm4ZtINOUISU7ReXrZpgSEREpiWFKRESkJIYpERGRkhimRERUb0gkEuQV5ql8vQxTIiKqN1qatERIUggKCgtUul6GKRER1RseNh5IzUlFVEqUStfLMCUionqjR9MeAIrm7FUlhikREdUbbk3coK6mjuCHwSpdL8OUiIjqDT1NPRjpGCEjN0Ol62WYEhERKYlhSkREpCSGKRERkZIYpkREREpimBIRUb0iCAJCkkJUuk6GKRER1Stzu85V+ToZpkREVK/M7DwT5vrmKl0nw5SIiEhJDFMiIqp3FnssVun6GKZERFTvdGjUQaXrY5gSEREpiWFKRESkJIYpERGRkhimRERESmKYEhERKYlhSkREpCSGKRERkZIYpkREREpimBIRESmJYUpERKQkhikREZGSGKZERERKYpgSEREpiWFKRESkJIYpERGRkhimRERESmKYEhERKYlhSkREpCRRw/TZs2cYNmwYZDIZLC0tsWnTplLbXb58GZ6enjA2NoaxsTH69euH6Ojoaq6WiIiodKKG6bRp05Cfn4/ExEQcO3YMCxYsQGBgYIl2qamp+OCDD3Dv3j0kJSXByckJXl5eIlRMRERUkrpYG87KyoK/vz9CQkIgk8nQtm1b+Pj4YMeOHfDw8CjWtk+fPsXez5o1CytXrkRKSgqMjY2rs2wiIqISRAvTqKgoCIIAR0dHxTIXFxesWbPmX797/vx5mJublxmkSUlJSEpKKrE8IiKi8gUTERGVQbQwzczMhIGBQbFlcrkcGRkZb/zevXv3MG3aNKxfv77MNlu3bsXixYtVUicREdG/ES1M9fX1kZ6eXmxZWloaZDJZmd+Jj49Hr1698MUXX2DYsGFltps4cWKp51QjIiLg7e1d+aKJiIhKIVqY2tvbQyKRICIiAg4ODgCA0NBQODk5ldo+ISEBHh4emDBhAj755JM3rtvCwgIWFhYqr5mIiKg0ol3Nq6enhyFDhmDBggXIyMhAWFgY/Pz8MG7cuBJtExMT4e7uDm9vb3zxxRciVEtERFQ2UW+N2bhxIyQSCSwsLNCnTx8sWbIEPXr0AFA0DHzhwgUAwA8//IC7d+9i1apV0NfXV7zi4uLELJ+IiAiAiMO8QNEFR/7+/qV+lpmZqfizr68vfH19q6ssIiKiCuF0gkREREpimBIRESmJYUpERKQkhikREZGSGKZERERKYpgSEREpiWFKRESkJIYpERGRkhimRERESmKYEhERKYlhSkREpCSGKRERkZIYpkREREpimBIRESmJYUpERKQkhikREZGSGKZERERKYpgSEREpiWFKRESkJIYpERGRkhimRERESmKYEhERKYlhSkREpCSGKRERkZIYpkREREpimBIRESmJYUpERKQkhikREZGSGKZERERKYpgSEREpiWFKRESkJIYpERGRkhimRERESmKYEhERKYlhSkREpCSGKRERkZIYpkREREpimBIRESmJYUpERKQkhikREZGSGKZERERKYpgSEREpiWFKRESkJIYpERGRkhimRERESmKYEhERKYlhSkREpCSGKRERkZIYpkREREpimBIRESmJYUpERKQkhikREZGSGKZERERKYpgSEREpiWFKRESkJIYpERGRkhimRERESmKYEhERKYlhSkREpCSGKRERkZIYpkREREpimBIRESmJYUpERKQkUcP02bNnGDZsGGQyGSwtLbFp06Yy254/fx5OTk7Q1dVF586dcevWrWqslIiIqGyihum0adOQn5+PxMREHDt2DAsWLEBgYGCJdikpKRg4cCC+/PJLpKamYuDAgRg4cCDy8/NFqJqIiKg40cI0KysL/v7+WLp0KWQyGdq2bQsfHx/s2LGjRNuAgADY29tj9OjR0NLSwpw5c5CRkYHz58+LUDkREVFx6mJtOCoqCoIgwNHRUbHMxcUFa9asKdE2PDwczs7OivdSqRROTk4IDw/HO++8U6J9UlISkpKSSiwPDQ0FAERERKhgD4iIqLZ6mQPPnz9XyfpEC9PMzEwYGBgUWyaXy5GRkVFqW0NDw3K1BYCtW7di8eLFZW7b29u7EhUTEVFdExISAjc3N6XXI1qY6uvrIz09vdiytLQ0yGQypdoCwMSJE+Hl5VVi+ZUrVzBlyhRs374dLi4ulS++nomIiIC3tzd27doFBwcHscupFXjMKofHreJ4zConNDQU48ePV9kxEy1M7e3tIZFIEBERodiZ0NBQODk5lWjr5OSEbdu2Kd4XFhbi5s2b+PLLL0tdt4WFBSwsLMrctouLC9q1a6fkHtQ/Dg4OPG4VxGNWOTxuFcdjVjmvj3pWlmgXIOnp6WHIkCFYsGABMjIyEBYWBj8/P4wbN65E20GDBiEyMhJ79+5Fbm4uVq1aBZlMhu7du4tQORERUXGi3hqzceNGSCQSWFhYoE+fPliyZAl69OgBoGho98KFCwAAY2Nj/Prrr1i6dCnkcjkCAgJw+PBhqKuL1rEmIiJSEDWN5HI5/P39S/0sMzOz2Ht3d3dO1EBERDUSpxMkIiJSUr0KUwsLC/j6+r7x4iQqicet4njMKofHreJ4zCpH1cdNIgiCoJI1ERER1VP1qmdKRERUFRimRERESmKYEhERKYlhSkREpKQ6GaZ86HjFlfeYXb58GZ6enjA2NoaxsTH69euH6Ojoaq625qjI37WX/Pz8IJFIsGXLlmqosOapyDHLycnBjBkzYGZmBgMDA7Rv377MB1zUdRU5bgcOHICjoyNkMhns7e2xc+fOaqy05tiwYQM6dOgALS0tjBgx4o1tlc4CoQ4aPXq08N577wnp6elCcHCwYGRkJJw9e7ZEu+TkZKFBgwbCrl27hJycHGHZsmVC8+bNhby8PBGqFld5j9mJEyeEffv2Cc+ePRNyc3OFOXPmCC1bthSh4pqhvMftpeTkZKFFixaCk5OTsHnz5mqstOaoyDEbO3asMGTIEOHhw4dCQUGBEBoaKuTk5FRzxTVDeY9bXFycoKGhIRw5ckQoLCwUgoKCBB0dHeHWrVsiVC2uQ4cOCb/88oswdepUYfjw4WW2U0UW1LkwzczMFDQ1NYv9xfn0008Fb2/vEm2///57wdXVVfE+Pz9fMDMzE86cOVMttdYUFTlmr3v06JEAQEhOTq7KEmukyhy3sWPHCj/88IPQvXv3ehmmFTlmkZGRgkwmE1JTU6uxwpqpIsft4sWLgqmpabFlTk5Ogr+/f5XXWVP5+vq+MUxVkQV1bpi3rIeOh4eHl2j7poeO1ycVOWavO3/+PMzNzWFsbFyVJdZIFT1u586dQ1RUFMaPH19dJdY4FTlmV65cgbW1NRYvXgwTExM4ODjg+++/r85ya4yKHLdOnTrB3t4ev/zyCwoLCxEYGIhHjx6p5JmddZUqsqDOzRRflQ8dr6sqcsxede/ePUybNg3r16+vyvJqrIoct9zcXEydOhW7du2CRCKprhJrnIocswcPHiA8PBxeXl5ISEjAjRs30KtXL9jZ2cHDw6O6Sq4RKnLc1NXVMW7cOIwZMwbPnz+Hmpoatm3bxhmS3kAVWVDneqZV+dDxuqoyxyE+Ph69evXCF198gWHDhlV1iTVSRY7bihUr0LNnT7Rt27a6yquRKnLMdHV1IZVK4evrCy0tLbi6umLo0KE4ceJEdZVbY1TkuJ06dQqzZ8/G6dOn8eLFC4SEhMDX1xfHjx+vrnJrHVVkQZ0L01cfOv7Smx46HhYWpnj/8qHjpbWtyypyzAAgISEBHh4emDBhAj755JPqKrPGqchxO3v2LH766SeYmJjAxMQEly5dwuzZszFmzJjqLFl0FTlmbdq0qc7SarSKHLebN2/Czc0Nb731FtTU1NCqVSv07dsXJ0+erM6SaxWVZEFlT+jWZKNGjRIGDx4spKenC6GhoYKxsbHwxx9/lGj38gquPXv2CDk5OcLy5cvr7dW85T1mCQkJgq2trbBo0SIRqqx5ynvcHj9+LDx48EDx6ty5s/DNN9/Uywu3ynvM8vLyBDs7O2HhwoVCXl6eEBwcLMjlcuH8+fMiVC2+8h638+fPC4aGhsLff/8tCIIg3LlzR7CxsRG+//776i5ZdHl5ecLz58+FefPmCUOHDhWeP38uvHjxokQ7VWRBnQzT1NRUYciQIYKenp5gYWEhbNy4UfGZnp6eEBQUpHgfGBgoODo6Ctra2kLHjh2F8PBwMUoWXXmP2aJFiwQAgp6eXrFXbGysWKWLqiJ/115VX6/mFYSKHbOIiAihS5cugq6urmBrayvs2LFDjJJrhIoct82bNwt2dnaCvr6+0KRJE+HLL78UCgoKxChbVL6+vgKAYq+xY8cKgqD6LOBTY4iIiJRU586ZEhERVTeGKRERkZIYpkREREpimBIRESmJYUpERKQkhikREZGSGKZERERKYpgSUbksWrQIXbp0Ubx3d3fH/PnzRayIqOZgmBLVIu7u7pBIJJBIJNDT04OLiwv8/f3FLouo3mOYEtUyM2fORFJSEsLDwzFq1CiMHDmy2CTdRFT9GKZEtYyenh7Mzc3RtGlTzJkzBw0aNMC5c+cAAMHBwXB3d4eOjg5sbGzg6+uL/Px8xXcfP34Mb29vGBkZQV9fH25uboiJiQEAHDlyBJ07d4ZMJkOjRo0wZcoUZGVlibGLRLUOw5SoliosLERAQABSU1OhqamJlJQU9OrVC3379sXNmzfh5+eHPXv24Ntvv1V8Z9CgQYiJicHRo0cREhKCiRMnKsI2JycH8+bNQ1hYGPbt24fAwEAsXrxYrN0jqlU40T1RLeLu7o4///wTmpqayM3NRX5+Ppo0aYLg4GBs2rQJN27cwMGDBxXt9+zZg4ULF+Lu3bsIDAzEu+++i3v37sHS0vJft7Vv3z7MnTsX9+7dA1B0AdKZM2dw8eJFRS1dunTB0qVLq2ZniWoRdbELIKKKeflQ9sTERMyaNQtLliyBiYkJbt68iSNHjkBfX1/RtqCgAHl5eSgsLER4eDjs7OzKDNLbt29j3rx5uH79OlJTU5Gfn19siJiIysYwJaplDA0NYWtrC1tbW+zevRtubm64efMmMjMzMWLECCxcuLDEd9TU1PBvg1BeXl5o06YNdu/eDTMzMwQFBeGjjz6qqt0gqlMYpkS1mL29Pdzd3bF06VI4OzvjzJkzsLW1LbVt69atER0djcTERDRq1KjYZ8nJyYiJicHBgwfh4uICADhw4EBVl09UZ/ACJKJabtq0adi+fTumTp2KmJgYTJgwAWFhYYiMjMSBAwcU5zQ9PDzg6uqKwYMH49KlS4iJicHu3bsRGRkJQ0NDGBoa4ocffsC9e/ewf/9+bN26VeQ9I6o9GKZEtVz37t1hb2+PdevWISgoCA8ePICbmxtcXV2xevVqWFlZKdoGBATAxsYGffv2hbOzMzZv3gx1dXVIpVLs3r0bp0+fRqtWrbB161ZeyUtUAbyal4iISEnsmRIRESmJYUpERKQkhikREZGSGKZERERKYpgSEREpiWFKRESkJIYpERGRkhimRERESmKYEhERKYlhSkREpCSGKRERkZIYpkREREr6P+k8PedGXHwPAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams[\"figure.figsize\"] = (5,5)\n",
    "\n",
    "# Making a list of all classifiers\n",
    "classifier_model = [\n",
    "    LogisticRegression(max_iter=1000), \n",
    "    KNeighborsClassifier(), \n",
    "    GaussianNB(), \n",
    "    SVC(), \n",
    "    DecisionTreeClassifier(), \n",
    "    RandomForestClassifier(), \n",
    "    SGDClassifier(), \n",
    "    AdaBoostClassifier(algorithm='SAMME')\n",
    "]\n",
    "\n",
    "# Creating empty list to store the performance details\n",
    "classifier_model_list= []\n",
    "classifier_accuracy_test = []\n",
    "classifier_accuracy_train = []\n",
    "f1score = []\n",
    "precisionscore = []\n",
    "recallscore = []\n",
    "avg_pre_rec_score = []\n",
    "cv_score = []\n",
    "\n",
    "for classifier_list in classifier_model:\n",
    "    classifier = classifier_list\n",
    " \n",
    "    # Fitting the training set into classification model\n",
    "    classifier.fit(X_train,y_train)\n",
    "    \n",
    "    # Predicting the output on test dataset\n",
    "    y_pred_test = classifier.predict(X_test)    \n",
    "    score_test = accuracy_score(y_test, y_pred_test)\n",
    "    \n",
    "    # Predicting the output on training datset\n",
    "    y_pred_train = classifier.predict(X_train) \n",
    "    score_train = accuracy_score(y_train, y_pred_train)\n",
    "    \n",
    "    # Cross Validation Score on training test\n",
    "    scores = cross_val_score(classifier, X_train,y_train, cv=10)\n",
    "    cv_score.append(scores.mean())\n",
    "    \n",
    "    #Keeping the model and accuracy score into a list\n",
    "    classifier_model_list.append(classifier_list.__class__.__name__)\n",
    "    classifier_accuracy_test.append(round(score_test,4))\n",
    "    classifier_accuracy_train.append(round(score_train,4))\n",
    "    \n",
    "    #Precision, Recall and F1 score\n",
    "    f1score.append(f1_score(y_test, y_pred_test, average='weighted'))\n",
    "    precisionscore.append(precision_score(y_test, y_pred_test))\n",
    "    recallscore.append(recall_score(y_test, y_pred_test))\n",
    "    \n",
    "    #Calculating Average Precision Recall Score\n",
    "    try:\n",
    "        y_pred_score = classifier.decision_function(X_test)\n",
    "    except:\n",
    "        y_pred_score = classifier.predict_proba(X_test)[:,1]\n",
    "    \n",
    "    from sklearn.metrics import average_precision_score\n",
    "    average_precision = average_precision_score(y_test, y_pred_score)\n",
    "    avg_pre_rec_score.append(average_precision)\n",
    "    \n",
    "    \n",
    "    #Confusion Matrix\n",
    "    plot_confusion_matrix(classifier_list.__class__.__name__, y_test, y_pred_test)\n",
    "    plot_prec_rec_curve(classifier_list.__class__.__name__, y_test, y_pred_score)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e3d7d681-8889-4cc8-9bc7-17c42b6e1e6e",
   "metadata": {},
   "source": [
    "### Classification Model Performance Evaluation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "09f48cb9-f925-4482-96d8-d55f67b62451",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "*------------------------------    CLASSIFICATION MODEL PERFORMANCE EVALUATION      ---------------------*\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Model</th>\n",
       "      <th>Cross Val Score</th>\n",
       "      <th>Test Accuracy</th>\n",
       "      <th>Average_Accuracy</th>\n",
       "      <th>Precision</th>\n",
       "      <th>Recall</th>\n",
       "      <th>Avg Precision Recall</th>\n",
       "      <th>F1 Score</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>LogisticRegression</td>\n",
       "      <td>0.808539</td>\n",
       "      <td>0.7925</td>\n",
       "      <td>0.800519</td>\n",
       "      <td>0.639456</td>\n",
       "      <td>0.502674</td>\n",
       "      <td>0.621877</td>\n",
       "      <td>0.783907</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>AdaBoostClassifier</td>\n",
       "      <td>0.802848</td>\n",
       "      <td>0.7846</td>\n",
       "      <td>0.793724</td>\n",
       "      <td>0.620339</td>\n",
       "      <td>0.489305</td>\n",
       "      <td>0.636841</td>\n",
       "      <td>0.775899</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>SVC</td>\n",
       "      <td>0.776897</td>\n",
       "      <td>0.7754</td>\n",
       "      <td>0.776148</td>\n",
       "      <td>0.619835</td>\n",
       "      <td>0.401070</td>\n",
       "      <td>0.615200</td>\n",
       "      <td>0.758089</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>KNeighborsClassifier</td>\n",
       "      <td>0.776892</td>\n",
       "      <td>0.7655</td>\n",
       "      <td>0.771196</td>\n",
       "      <td>0.571429</td>\n",
       "      <td>0.470588</td>\n",
       "      <td>0.519334</td>\n",
       "      <td>0.757740</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>RandomForestClassifier</td>\n",
       "      <td>0.766932</td>\n",
       "      <td>0.7548</td>\n",
       "      <td>0.760866</td>\n",
       "      <td>0.545455</td>\n",
       "      <td>0.465241</td>\n",
       "      <td>0.540537</td>\n",
       "      <td>0.748246</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>GaussianNB</td>\n",
       "      <td>0.769602</td>\n",
       "      <td>0.7491</td>\n",
       "      <td>0.759351</td>\n",
       "      <td>0.521561</td>\n",
       "      <td>0.679144</td>\n",
       "      <td>0.566332</td>\n",
       "      <td>0.758317</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>SGDClassifier</td>\n",
       "      <td>0.747868</td>\n",
       "      <td>0.7420</td>\n",
       "      <td>0.744934</td>\n",
       "      <td>0.511066</td>\n",
       "      <td>0.679144</td>\n",
       "      <td>0.541105</td>\n",
       "      <td>0.752055</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>DecisionTreeClassifier</td>\n",
       "      <td>0.737422</td>\n",
       "      <td>0.7299</td>\n",
       "      <td>0.733661</td>\n",
       "      <td>0.491329</td>\n",
       "      <td>0.454545</td>\n",
       "      <td>0.371390</td>\n",
       "      <td>0.726476</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                    Model  Cross Val Score  Test Accuracy  Average_Accuracy  \\\n",
       "0      LogisticRegression         0.808539         0.7925          0.800519   \n",
       "7      AdaBoostClassifier         0.802848         0.7846          0.793724   \n",
       "3                     SVC         0.776897         0.7754          0.776148   \n",
       "1    KNeighborsClassifier         0.776892         0.7655          0.771196   \n",
       "5  RandomForestClassifier         0.766932         0.7548          0.760866   \n",
       "2              GaussianNB         0.769602         0.7491          0.759351   \n",
       "6           SGDClassifier         0.747868         0.7420          0.744934   \n",
       "4  DecisionTreeClassifier         0.737422         0.7299          0.733661   \n",
       "\n",
       "   Precision    Recall  Avg Precision Recall  F1 Score  \n",
       "0   0.639456  0.502674              0.621877  0.783907  \n",
       "7   0.620339  0.489305              0.636841  0.775899  \n",
       "3   0.619835  0.401070              0.615200  0.758089  \n",
       "1   0.571429  0.470588              0.519334  0.757740  \n",
       "5   0.545455  0.465241              0.540537  0.748246  \n",
       "2   0.521561  0.679144              0.566332  0.758317  \n",
       "6   0.511066  0.679144              0.541105  0.752055  \n",
       "4   0.491329  0.454545              0.371390  0.726476  "
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Creating pandas dataframe with Model and corresponding accuracy\n",
    "#accuracy_df = pd.DataFrame({'Model':classifier_model_list , 'Test Accuracy':classifier_accuracy_test, 'Train Accuracy' :classifier_accuracy_test , 'Precision':precisionscore, 'Recall':recallscore ,'F1 Score':f1score},index=None)\n",
    "accuracy_df = pd.DataFrame({'Model':classifier_model_list , 'Cross Val Score':cv_score, 'Test Accuracy' :classifier_accuracy_test , 'Precision':precisionscore, 'Recall':recallscore ,'Avg Precision Recall':avg_pre_rec_score ,'F1 Score':f1score})\n",
    "\n",
    "# Calculating Average Accuracy = (Test + Train)/2\n",
    "accuracy_df['Average_Accuracy'] =  (accuracy_df['Cross Val Score'] + accuracy_df['Test Accuracy'] )/ 2\n",
    "\n",
    "#Arranging the Columns\n",
    "print(\"\\n*------------------------------    CLASSIFICATION MODEL PERFORMANCE EVALUATION      ---------------------*\\n\")\n",
    "accuracy_df = accuracy_df[['Model','Cross Val Score', 'Test Accuracy', 'Average_Accuracy','Precision', 'Recall','Avg Precision Recall','F1 Score']]  # This will arrange the columns in the order we want\n",
    "\n",
    "#Sorting the Columns based on Average Accuracy\n",
    "accuracy_df = accuracy_df.sort_values('Average_Accuracy', axis=0, ascending=False) # Sorting the data with highest accuracy in the top\n",
    "accuracy_df\n",
    "#accuracy_df.transpose()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a85a8342-5265-453f-b398-a71c5644df98",
   "metadata": {},
   "source": [
    "##### Logistic Regression and Adaboost model looks promising (highest Avg Precision Recall and F1 score). Let's try to improve the model"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cebe4296-860f-41e4-a8b0-b4d76716a1ea",
   "metadata": {},
   "source": [
    "### Improving our Model: Model Tuning"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "119f8980-1b59-452a-920f-261d37ae16e1",
   "metadata": {},
   "source": [
    "#### Grid Search for Logistic Regression Classifier and running with optimized hyperparameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "bd7922f5-749d-4ce8-8882-6871b7d64558",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.pipeline import Pipeline\n",
    "from sklearn.model_selection import GridSearchCV\n",
    "from sklearn.metrics import make_scorer\n",
    "from sklearn.metrics import fbeta_score, accuracy_score\n",
    "from sklearn.linear_model  import LogisticRegression # Logistic Regression Classifier\n",
    "from sklearn.preprocessing import StandardScaler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "284c9488-e610-4ed9-8785-97fd5d8da0d2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Final accuracy score on the testing data: 0.7925\n",
      "Final F-score on the testing data: 0.7839\n",
      "LogisticRegression(C=10, max_iter=10000, solver='newton-cg')\n"
     ]
    }
   ],
   "source": [
    "# Logistic Regression Classifier\n",
    "clf_log = LogisticRegression()\n",
    "\n",
    "# Hyperparameters\n",
    "parameters_log = {'solver': ['newton-cg', 'liblinear', 'sag', 'saga', 'lbfgs'],\n",
    "              'C': [0.001,0.01,0.1,1,10,100,1000],\n",
    "              'max_iter': [10000]\n",
    "             }\n",
    "\n",
    "# Make an fbeta_score scoring object\n",
    "#scorer = make_scorer(fbeta_score, beta=0.5)\n",
    "\n",
    "# Perform grid search on the classifier using 'scorer' as the scoring method\n",
    "grid_obj_log = GridSearchCV(estimator=clf_log, param_grid=parameters_log, scoring=f1_weighted)\n",
    "\n",
    "# Fit the grid search object to the training data and find the optimal parameters\n",
    "grid_fit_log = grid_obj_log.fit(X_train, y_train)\n",
    "\n",
    "# Get the estimator\n",
    "best_clf_log = grid_fit_log.best_estimator_\n",
    "\n",
    "# View best hyperparameters\n",
    "#print(grid_fit.best_params_)\n",
    "\n",
    "# Make predictions\n",
    "y_pred_log = best_clf_log.predict(X_test)\n",
    "\n",
    "# Report \n",
    "print (\"Final accuracy score on the testing data: {:.4f}\".format(accuracy_score(y_test, y_pred_log)))\n",
    "print (\"Final F-score on the testing data: {:.4f}\".format(f1_score(y_test, y_pred_log, average='weighted')))\n",
    "print (best_clf_log)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "13a45b53-5f8a-40ea-966a-c8eda847d149",
   "metadata": {},
   "source": [
    "#### Grid Search for Adaboost Classifier and running with optimized hyperparameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "0c29a9fd-90f3-4cc4-a3b9-b2e667dbfc13",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Final accuracy score on the testing data: 0.7846\n",
      "Final F1-score on the testing data: 0.7748\n",
      "AdaBoostClassifier(algorithm='SAMME', n_estimators=500)\n"
     ]
    }
   ],
   "source": [
    "# Adaboost classifier\n",
    "clf_ada = AdaBoostClassifier()\n",
    "# Hyperparameters\n",
    "parameters_ada = {\n",
    "    'algorithm': ['SAMME'],\n",
    "    'n_estimators': [10, 50, 100, 500], \n",
    "    'learning_rate': [0.0001, 0.001, 0.01, 0.1, 1.0]\n",
    "}\n",
    "\n",
    "# Make an fbeta_score scoring object\n",
    "#scorer = make_scorer(fbeta_score, beta=0.5)\n",
    "\n",
    "# Perform grid search on the classifier using 'scorer' as the scoring method\n",
    "grid_obj_ada = GridSearchCV(estimator=clf_ada, param_grid=parameters_ada, scoring=f1_weighted)\n",
    "\n",
    "# Fit the grid search object to the training data and find the optimal parameters\n",
    "grid_fit_ada = grid_obj_ada.fit(X_train, y_train)\n",
    "\n",
    "# Get the estimator\n",
    "best_clf_ada = grid_fit_ada.best_estimator_\n",
    "\n",
    "# Make predictions using the unoptimized and model\n",
    "y_pred_ada = best_clf_ada.predict(X_test)\n",
    "\n",
    "# Report\n",
    "print (\"Final accuracy score on the testing data: {:.4f}\".format(accuracy_score(y_test, y_pred_ada)))\n",
    "print (\"Final F1-score on the testing data: {:.4f}\".format(f1_score(y_test, y_pred_ada, average='weighted')))\n",
    "print (best_clf_ada)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9995c0b0-1ea1-40e7-b32d-cd1e9bcfd175",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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