{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "3e7d50c3-9548-4d50-b238-18a4151e4f2d",
   "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>PassengerId</th>\n",
       "      <th>Survived</th>\n",
       "      <th>Pclass</th>\n",
       "      <th>Age</th>\n",
       "      <th>SibSp</th>\n",
       "      <th>Parch</th>\n",
       "      <th>Fare</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>891.000000</td>\n",
       "      <td>891.000000</td>\n",
       "      <td>891.000000</td>\n",
       "      <td>714.000000</td>\n",
       "      <td>891.000000</td>\n",
       "      <td>891.000000</td>\n",
       "      <td>891.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>446.000000</td>\n",
       "      <td>0.383838</td>\n",
       "      <td>2.308642</td>\n",
       "      <td>29.699118</td>\n",
       "      <td>0.523008</td>\n",
       "      <td>0.381594</td>\n",
       "      <td>32.204208</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>257.353842</td>\n",
       "      <td>0.486592</td>\n",
       "      <td>0.836071</td>\n",
       "      <td>14.526497</td>\n",
       "      <td>1.102743</td>\n",
       "      <td>0.806057</td>\n",
       "      <td>49.693429</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.420000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>223.500000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>20.125000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>7.910400</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>446.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>28.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>14.454200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>668.500000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>38.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>31.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>891.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>80.000000</td>\n",
       "      <td>8.000000</td>\n",
       "      <td>6.000000</td>\n",
       "      <td>512.329200</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       PassengerId    Survived      Pclass         Age       SibSp  \\\n",
       "count   891.000000  891.000000  891.000000  714.000000  891.000000   \n",
       "mean    446.000000    0.383838    2.308642   29.699118    0.523008   \n",
       "std     257.353842    0.486592    0.836071   14.526497    1.102743   \n",
       "min       1.000000    0.000000    1.000000    0.420000    0.000000   \n",
       "25%     223.500000    0.000000    2.000000   20.125000    0.000000   \n",
       "50%     446.000000    0.000000    3.000000   28.000000    0.000000   \n",
       "75%     668.500000    1.000000    3.000000   38.000000    1.000000   \n",
       "max     891.000000    1.000000    3.000000   80.000000    8.000000   \n",
       "\n",
       "            Parch        Fare  \n",
       "count  891.000000  891.000000  \n",
       "mean     0.381594   32.204208  \n",
       "std      0.806057   49.693429  \n",
       "min      0.000000    0.000000  \n",
       "25%      0.000000    7.910400  \n",
       "50%      0.000000   14.454200  \n",
       "75%      0.000000   31.000000  \n",
       "max      6.000000  512.329200  "
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from sklearn.impute import KNNImputer\n",
    "import numpy as np\n",
    "df = pd.read_csv(\"Titanic-Dataset.csv\")\n",
    "df.head()\n",
    "df.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "41ce2355-a513-426a-8b15-4d2c2b7a9a80",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PassengerId      0\n",
       "Survived         0\n",
       "Pclass           0\n",
       "Name             0\n",
       "Sex              0\n",
       "Age            177\n",
       "SibSp            0\n",
       "Parch            0\n",
       "Ticket           0\n",
       "Fare             0\n",
       "Cabin          687\n",
       "Embarked         2\n",
       "dtype: int64"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.isnull().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "c7db6bf4-c97d-418f-b848-38f0009c31e2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Columns with more than 30% missing values:\n",
      "Cabin    77.104377\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "missing_percentage = df.isnull().mean() * 100\n",
    "columns_with_missing_30 = missing_percentage[missing_percentage > 30]\n",
    "print(\"Columns with more than 30% missing values:\")\n",
    "print(columns_with_missing_30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "680c9230-2065-426c-9ffb-b96c4473ca0a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Columns dropped: ['Cabin']\n",
      "Remaining columns: Index(['PassengerId', 'Survived', 'Pclass', 'Name', 'Sex', 'Age', 'SibSp',\n",
      "       'Parch', 'Ticket', 'Fare', 'Embarked'],\n",
      "      dtype='object')\n"
     ]
    }
   ],
   "source": [
    "missing_percentage = df.isnull().mean() * 100\n",
    "threshold = 30\n",
    "columns_to_drop = missing_percentage[missing_percentage > threshold].index\n",
    "df_cleaned = df.drop(columns=columns_to_drop)\n",
    "print(f\"Columns dropped: {list(columns_to_drop)}\")\n",
    "print(f\"Remaining columns: {df_cleaned.columns}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "ac4b0428-de66-42e7-ba0f-dfbf10c4b214",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Missing values BEFORE KNN\n",
      "PassengerId      0\n",
      "Survived         0\n",
      "Pclass           0\n",
      "Sex              0\n",
      "Age            177\n",
      "SibSp            0\n",
      "Parch            0\n",
      "Fare             0\n",
      "Embarked         2\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "from sklearn.impute import KNNImputer\n",
    "df_knn = df.drop(columns=[\"Cabin\", \"Name\", \"Ticket\"])\n",
    "df_knn['Sex'] = df_knn['Sex'].map({'male': 0, 'female': 1})\n",
    "df_knn['Embarked'] = df_knn['Embarked'].map({'S': 0, 'C': 1, 'Q': 2})\n",
    "print(\"Missing values BEFORE KNN\")\n",
    "print(df_knn.isnull().sum())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "45b5fdc6-99e0-431c-91b9-b9fc7e61e5d4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Outliers in 'PassengerId': 0\n",
      "Outliers in 'Survived': 0\n",
      "Outliers in 'Pclass': 0\n",
      "Outliers in 'Age': 11\n",
      "Outliers in 'SibSp': 46\n",
      "Outliers in 'Parch': 213\n",
      "Outliers in 'Fare': 116\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>PassengerId</th>\n",
       "      <th>Survived</th>\n",
       "      <th>Pclass</th>\n",
       "      <th>Name</th>\n",
       "      <th>Sex</th>\n",
       "      <th>Age</th>\n",
       "      <th>SibSp</th>\n",
       "      <th>Parch</th>\n",
       "      <th>Ticket</th>\n",
       "      <th>Fare</th>\n",
       "      <th>Cabin</th>\n",
       "      <th>Embarked</th>\n",
       "      <th>PassengerId_Outlier</th>\n",
       "      <th>Survived_Outlier</th>\n",
       "      <th>Pclass_Outlier</th>\n",
       "      <th>Age_Outlier</th>\n",
       "      <th>SibSp_Outlier</th>\n",
       "      <th>Parch_Outlier</th>\n",
       "      <th>Fare_Outlier</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>Cumings, Mrs. John Bradley (Florence Briggs Th...</td>\n",
       "      <td>female</td>\n",
       "      <td>38.0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>PC 17599</td>\n",
       "      <td>71.2833</td>\n",
       "      <td>C85</td>\n",
       "      <td>C</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>8</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Palsson, Master. Gosta Leonard</td>\n",
       "      <td>male</td>\n",
       "      <td>2.0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>349909</td>\n",
       "      <td>21.0750</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>True</td>\n",
       "      <td>True</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>9</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>Johnson, Mrs. Oscar W (Elisabeth Vilhelmina Berg)</td>\n",
       "      <td>female</td>\n",
       "      <td>27.0</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>347742</td>\n",
       "      <td>11.1333</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>True</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>11</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>Sandstrom, Miss. Marguerite Rut</td>\n",
       "      <td>female</td>\n",
       "      <td>4.0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>PP 9549</td>\n",
       "      <td>16.7000</td>\n",
       "      <td>G6</td>\n",
       "      <td>S</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>True</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>14</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>Andersson, Mr. Anders Johan</td>\n",
       "      <td>male</td>\n",
       "      <td>39.0</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>347082</td>\n",
       "      <td>31.2750</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>True</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    PassengerId  Survived  Pclass  \\\n",
       "1             2         1       1   \n",
       "7             8         0       3   \n",
       "8             9         1       3   \n",
       "10           11         1       3   \n",
       "13           14         0       3   \n",
       "\n",
       "                                                 Name     Sex   Age  SibSp  \\\n",
       "1   Cumings, Mrs. John Bradley (Florence Briggs Th...  female  38.0      1   \n",
       "7                      Palsson, Master. Gosta Leonard    male   2.0      3   \n",
       "8   Johnson, Mrs. Oscar W (Elisabeth Vilhelmina Berg)  female  27.0      0   \n",
       "10                    Sandstrom, Miss. Marguerite Rut  female   4.0      1   \n",
       "13                        Andersson, Mr. Anders Johan    male  39.0      1   \n",
       "\n",
       "    Parch    Ticket     Fare Cabin Embarked  PassengerId_Outlier  \\\n",
       "1       0  PC 17599  71.2833   C85        C                False   \n",
       "7       1    349909  21.0750   NaN        S                False   \n",
       "8       2    347742  11.1333   NaN        S                False   \n",
       "10      1   PP 9549  16.7000    G6        S                False   \n",
       "13      5    347082  31.2750   NaN        S                False   \n",
       "\n",
       "    Survived_Outlier  Pclass_Outlier  Age_Outlier  SibSp_Outlier  \\\n",
       "1              False           False        False          False   \n",
       "7              False           False        False           True   \n",
       "8              False           False        False          False   \n",
       "10             False           False        False          False   \n",
       "13             False           False        False          False   \n",
       "\n",
       "    Parch_Outlier  Fare_Outlier  \n",
       "1           False          True  \n",
       "7            True         False  \n",
       "8            True         False  \n",
       "10           True         False  \n",
       "13           True         False  "
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = df.copy()\n",
    "def detect_outliers_iqr(column):\n",
    "    Q1 = column.quantile(0.25)\n",
    "    Q3 = column.quantile(0.75)\n",
    "    IQR = Q3 - Q1\n",
    "    lower_bound = Q1 - 1.5 * IQR\n",
    "    upper_bound = Q3 + 1.5 * IQR\n",
    "    return (column < lower_bound) | (column > upper_bound)\n",
    "numeric_cols = data.select_dtypes(include=['number']).columns\n",
    "for col in numeric_cols:\n",
    "    data[f'{col}_Outlier'] = detect_outliers_iqr(data[col])\n",
    "for col in numeric_cols:\n",
    "    outlier_count = data[f'{col}_Outlier'].sum()\n",
    "    print(f\"Outliers in '{col}': {outlier_count}\")\n",
    "outliers_only = data[data.filter(like='_Outlier').any(axis=1)]\n",
    "outliers_only.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "db242899-7688-4853-bb92-f93939580d4e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x800 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15, 8))\n",
    "for i, col in enumerate(numeric_cols[:6]):\n",
    "    plt.subplot(2, 3, i+1)\n",
    "    sns.boxplot(x=data[col], color='Green') \n",
    "    plt.title(f\"Boxplot for {col}\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "c9b58bd2-c868-4f81-9e1e-937f4b900d3d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Missing values (بعد تعويض القيم الشاذة بـ NaN):\n",
      "PassengerId              0\n",
      "Survived                 0\n",
      "Pclass                   0\n",
      "Name                     0\n",
      "Sex                      0\n",
      "Age                    188\n",
      "SibSp                   46\n",
      "Parch                  213\n",
      "Ticket                   0\n",
      "Fare                   116\n",
      "Cabin                  687\n",
      "Embarked                 2\n",
      "PassengerId_Outlier      0\n",
      "Survived_Outlier         0\n",
      "Pclass_Outlier           0\n",
      "Age_Outlier              0\n",
      "SibSp_Outlier            0\n",
      "Parch_Outlier            0\n",
      "Fare_Outlier             0\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "data_cleaned = data.copy()\n",
    "for col in numeric_cols:\n",
    "    outlier_mask = detect_outliers_iqr(data_cleaned[col])\n",
    "    data_cleaned.loc[outlier_mask, col] = np.nan \n",
    "print(\"Missing values (بعد تعويض القيم الشاذة بـ NaN):\")\n",
    "print(data_cleaned.isnull().sum())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "b40344fb-ae46-4a0e-940f-1ec519504fc4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Remaining columns after dropping _Outlier flags:\n",
      "Index(['PassengerId', 'Survived', 'Pclass', 'Name', 'Sex', 'Age', 'SibSp',\n",
      "       'Parch', 'Ticket', 'Fare', 'Cabin', 'Embarked'],\n",
      "      dtype='object')\n"
     ]
    }
   ],
   "source": [
    "outlier_cols = [col for col in data_cleaned.columns if '_Outlier' in col]\n",
    "data_cleaned.drop(columns=outlier_cols, inplace=True)\n",
    "print(\"Remaining columns after dropping _Outlier flags:\")\n",
    "print(data_cleaned.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "f73cf4de-2505-440f-be34-025b6dd6f3f7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Missing values AFTER KNN imputation:\n",
      "PassengerId    0\n",
      "Survived       0\n",
      "Pclass         0\n",
      "Age            0\n",
      "SibSp          0\n",
      "Parch          0\n",
      "Fare           0\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "numeric_cols_cleaned = data_cleaned.select_dtypes(include=['float64', 'int64']).columns\n",
    "data_for_imputation = data_cleaned[numeric_cols_cleaned]\n",
    "imputer = KNNImputer(n_neighbors=5)\n",
    "imputed_array = imputer.fit_transform(data_for_imputation)\n",
    "data_imputed = pd.DataFrame(imputed_array, columns=numeric_cols_cleaned)\n",
    "print(\"Missing values AFTER KNN imputation:\")\n",
    "print(data_imputed.isnull().sum())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "fa0855d2-c0b7-4120-89a9-9db6f12d041d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Final dataset shape: (891, 12)\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>PassengerId</th>\n",
       "      <th>Survived</th>\n",
       "      <th>Pclass</th>\n",
       "      <th>Age</th>\n",
       "      <th>SibSp</th>\n",
       "      <th>Parch</th>\n",
       "      <th>Fare</th>\n",
       "      <th>Name</th>\n",
       "      <th>Sex</th>\n",
       "      <th>Ticket</th>\n",
       "      <th>Cabin</th>\n",
       "      <th>Embarked</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>22.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.25000</td>\n",
       "      <td>Braund, Mr. Owen Harris</td>\n",
       "      <td>male</td>\n",
       "      <td>A/5 21171</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>38.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>21.76166</td>\n",
       "      <td>Cumings, Mrs. John Bradley (Florence Briggs Th...</td>\n",
       "      <td>female</td>\n",
       "      <td>PC 17599</td>\n",
       "      <td>C85</td>\n",
       "      <td>C</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>26.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.92500</td>\n",
       "      <td>Heikkinen, Miss. Laina</td>\n",
       "      <td>female</td>\n",
       "      <td>STON/O2. 3101282</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>35.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>53.10000</td>\n",
       "      <td>Futrelle, Mrs. Jacques Heath (Lily May Peel)</td>\n",
       "      <td>female</td>\n",
       "      <td>113803</td>\n",
       "      <td>C123</td>\n",
       "      <td>S</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>35.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>8.05000</td>\n",
       "      <td>Allen, Mr. William Henry</td>\n",
       "      <td>male</td>\n",
       "      <td>373450</td>\n",
       "      <td>NaN</td>\n",
       "      <td>S</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   PassengerId  Survived  Pclass   Age  SibSp  Parch      Fare  \\\n",
       "0          1.0       0.0     3.0  22.0    1.0    0.0   7.25000   \n",
       "1          2.0       1.0     1.0  38.0    1.0    0.0  21.76166   \n",
       "2          3.0       1.0     3.0  26.0    0.0    0.0   7.92500   \n",
       "3          4.0       1.0     1.0  35.0    1.0    0.0  53.10000   \n",
       "4          5.0       0.0     3.0  35.0    0.0    0.0   8.05000   \n",
       "\n",
       "                                                Name     Sex  \\\n",
       "0                            Braund, Mr. Owen Harris    male   \n",
       "1  Cumings, Mrs. John Bradley (Florence Briggs Th...  female   \n",
       "2                             Heikkinen, Miss. Laina  female   \n",
       "3       Futrelle, Mrs. Jacques Heath (Lily May Peel)  female   \n",
       "4                           Allen, Mr. William Henry    male   \n",
       "\n",
       "             Ticket Cabin Embarked  \n",
       "0         A/5 21171   NaN        S  \n",
       "1          PC 17599   C85        C  \n",
       "2  STON/O2. 3101282   NaN        S  \n",
       "3            113803  C123        S  \n",
       "4            373450   NaN        S  "
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "non_numeric_cols = data_cleaned.select_dtypes(exclude=['float64', 'int64'])\n",
    "final_df = pd.concat([data_imputed, non_numeric_cols.reset_index(drop=True)], axis=1)\n",
    "print(\"Final dataset shape:\", final_df.shape)\n",
    "final_df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "5e00543f-309a-45da-a400-9acd5d7bf37c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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WLeUt571eeSpLxzorT9L9b0p5fX19Vo/OyjvWsatybdImbapMm0rFUtRlEwaK0dycXoYLbeq4PgqFUjQ39+1Q9/XpO6NY7Fi+Lvv+YrH9y3l9/boolTqWl6K+fn0Ui3VRKtW3KU71XR+lUqrnhvJCoRh1dc1RLKbnZ8MEh0KhOerqNq57V+Wb1aasC8p1L9/PFrapi/LNaVOpmKZ1lPutVn72Xqtcm7RJm7RJmzqve8fjPT5YpVCVpBGqttLXLcfSx1133bXd8T59+sTOO+/cek5nLr/88rj00ks3Kk9TCgcNGpR9nu5j9OjRsWDBgmwdV4sRI0Zkt3nz5kVjY2Nr+ahRo2Lo0KHZGrC2UxX32muvbP3X7Nmz23XS2LFjo1+/fjFr1qx2dZgwYUKsXbs25syZ0+4HLJWnx3vuuedaywcMGBDjxo2LZcuWxfz581vLd9hhhxgzZkwsXry43fOgTdqkTZVp07LVy2Ls9mPTfnwxd+6HoqlppzZtuisGD54fs2efGs3N/dq0aVr067cqZs36ZIc2XR9r1w6KOXNObtOmtTFhwg3R2Lh7PPfc+9u0aVmMGzctli0bG/Pnv7O1vO+q1L67omn5pJi1eMN/TO28c0OMHv1ALFhwWCxdOr5Nm2bGiBEzYt68o6OxcVSbfnoghg7N16b+SyP6Fq6P4rpBMWvWlrdphx3mx5gxd8XixZNi0aIta9Oy1RFjt38g+7xWfvZq8fdJm7RJm7Rpa7dpU/drKJQ6xsIqkdLj9OnT47jjjsu+fvjhh+OQQw6JhQsXZptXtDjppJOyc2+//fa47LLL4uabb27XgUkKWyk4nX322Zs8YpU6IHVUerJb6iPta5M2aVN3tOnJRU/GAdcfEDPOKsZ+u1Z+xGraM6WYOn19zDyzLiYOr+yI1bSnI6besS5mnlmIicMrO2L15KKIA65vjhlnzYj9dt2vJn72Xqtcm7RJm7RJmzqve8oGKcytWLGiNRv06BGrlD6Tl156qV2wSl9PnDix9ZyUaNtav359FpBavr8z/fv3z24dpY5Mt86e6M7O3dbl6Qehs/Ku6ri55dqkTV2Va1O+NhXqClEsz3nL3vx3fv66zSgvdVqewkxn5SlAvDrn7tUTW84vRn19sZPz0x+cjadBdF33HG2qe+26b3KbXrf89dtUqNvwnbXys7etyrVJm7qrjptbrk3atDXq3tXxqt4V8LXsueeeWTi69957W8tSekxrpw4++ODs6/Rx+fLl8cQTT7Sec99992VpM63FAgAA2BqqasQqzV989tln221Y8eSTT7bOozzvvPPiq1/9auy9995Z0Lrooouynf5apguOHz8+jj766DjzzDOzLdnXrVsXn/nMZ7KNLewICAAA9IpgNXPmzDjiiCNav77ggguyj6eddlrcdNNNceGFF2bXukrXpUojU4ceemi2vXpa8NbiJz/5SRam3vWud2XDgyeeeGJ27SsAAIBeEaze+c53brRgreN8zK985SvZrStpdOu2227bSjUEAADowWusAAAAqpVgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkFOfvHcAALWsYUlDVINhA4fF6CGjK10NALogWAFAJ15cFVFXiJj686lRDQb2HRAN58wRrgCqlGAFAJ1Y3hRRLEXcenzE+F0qW5eGlyOmTm+KJauXCFYAVUqwAoDXkELV/iMrXQsAqp3NKwAAAHISrAAAAHISrAAAAHISrAAAAHKyeQXQa7yw4oVsV7VKq5brIgEA3UewAnpNqBp/zdhYva6p0lUBAGqQYAX0CmmkKoWqargm0a/mRlx0f2XrAAB0L8EK6FWq4ZpEDZWfjQgAdDObVwAAAPSmYNXc3BwXXXRR7LnnnrHddtvFmDFj4l/+5V+iVCq1npM+v/jii2PkyJHZOUcddVTMnTu3ovUGAABqW48KVt/4xjfi2muvje9973vR0NCQfX3FFVfEd7/73dZz0tdXX311XHfddfHYY4/F9ttvH1OmTImmJgvWAQCAraNHrbF6+OGH49hjj41jjjkm+/qNb3xj/PSnP43HH3+8dbTqqquuii996UvZecktt9wSw4cPjzvuuCNOPvnkitYfAACoTT0qWL3jHe+IH/7wh/GHP/wh3vzmN8dTTz0Vv/nNb+LKK6/Mjj///POxaNGibPpfiyFDhsSBBx4YjzzySJfBas2aNdmtxcqVK1unHqZbUigUoq6uLorFYruphy3lLee9XnkqS8c6K0/S/W9KeX19fVaPzso71rGrcm3Spt7UplKx/DilUjq//Utfff26rLxYbFteivr69VEs1kWpVP+65YVCMerqmqNYTM/PhskAhUJz1NUVX33MQrmwmKYLpDp3KM/qvj4KhVI0N/ft0Kb12WMXix3L12Xf377um9mmrA/WZ/Vubt7CNr1G+Wa1Keuyct3104a6l4oRfQrln+Fq+H2qxdcIbdImbdKmrure8XhNBKsvfOELWegZN25c9iSnRn7ta1+LU045JTueQlWSRqjaSl+3HOvM5ZdfHpdeeulG5c8880wMGjQo+3znnXeO0aNHx4IFC2Lp0qWt54wYMSK7zZs3LxobG1vLR40aFUOHDs3Wd7WdhrjXXnvF4MGDY/bs2e06aezYsdGvX7+YNWtWuzpMmDAh1q5dG3PmzGktS21P5enxnnvuudbyAQMGZM/NsmXLYv78+a3lO+ywQ7YebfHixe2eB23Spt7UpmWrl0XfQt8orhsUs2Zt+E+W+vq1MWHCDdHYuHs899z727RpWYwbNy2WLRsb8+e/s02b5seYMXfF4sWTYtGiyW3a1BCjRz8QCxYcFkuXjm/TppkxYsSMmDfv6GhsHJWV9V8aMXb7B9L+gDF37oeiqWmnNm26KwYPnh+zZ58azc392rRpWvTrtypmzfpkh366PtauHRRz5mx5m/quSn12VzQtnxSzFm9Zm8r99EAMHZqvTem56Vu4Xj91aNOy1RFHDy3/blXD71MtvkZokzZpkzZ11aZVq1bFpiiUOsbCKjZt2rT4h3/4h/jmN78Zb3nLW+LJJ5+M8847LxuxOu2007KpgoccckgsXLgw27yixUknnZSl0dtvv32TR6xSB6SOSk92Iu1rkzb17DY9uejJmHz95Jh5ZiEmDq/sSMi0pyNOvaM5ZpxVjP12rfyI1bRnSjF1+vqYeWZdTBxe2RGr9NxMvWOdfupQ9ycXRRx0QykeO/OxmDh8YsV/n2rxNUKbtEmbtKmruqdskMLcihUrWrNBjx+xSqEqjVq1TOlLifdPf/pTNuKUglVKqMlLL73ULlilrydOnNjl/fbv3z+7dZQ6Mt06e6I7O3dbl6cfhM7Ku6rj5pZrkzbVUpsKdeU3xenNcHoz21FX5enN9qvz0zaxPL04bzxlIL1R3nDShu9sV97u/HWbUZ6zTYUNoaO+fgvbtEnlm9CmV38k9FP7uhfqItaXquf3qRZfI16vXJu0qbvquLnl2hQVb1NXxzeqT/Qgq1ev3ugJbEmxSdqGPYWre++9t/V4Sphpd8CDDz54m9cXAADoHXrUiNUHPvCBbE1VmlOZpgL+7ne/y6YBfvzjH29Nv2lq4Fe/+tXYe++9s6CVrnu12267xXHHHVfp6gMAADWqRwWrdL2qFJQ+/elPZ4vYUmD6u7/7u+yCwC0uvPDCeOWVV+Kss86K5cuXx6GHHhp33313tigOAAAgenuwSjuDpOtUpVtX0qjVV77ylewGAACwLfSoNVYAAADVSLACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADIqU/eOwB4LS+seCGWrF5S6WpEw5KGSlcBAKhhuYLViy++GCNHjuy+2gA1F6rGXzM2Vq9rqnRVAACqN1iNGjUqjjzyyPjYxz4WJ5xwQmy//fbdVzOgx0sjVSlU3Xp8xPhdKluXX82NuOj+ytYBAKhduYLVV77ylbjtttvitNNOi7PPPjuOO+64mDp1arznPe+JujrLt4CyFKr2r/DgdkPlZyMCADUsV/r54he/GE8//XQ88cQT8alPfSoeeOCBeN/73he77bZbnH/++TFz5szuqykAAECV6pZhpbe97W3xrW99K+bPnx/33HNPHHPMMXHjjTfGgQceGPvss09cdtll8cILL3THQwEAAFSdbp2vVygU4rDDDstGrQ466KAolUoxd+7cuOSSS2KvvfaKD3/4w9mGFwAAALWk24LV/fffH5/85Cdj+PDhcdJJJ8WiRYuyUawFCxZkYerrX/963HvvvdlGFwAAALUk1+YVTz31VPzkJz+Jn/70p7Fw4cIYMWJEFq5OPfXUmDBhQrtzP//5z8eAAQOyjwAAALWkT961Vdttt122G2AKU+9+97tfczfAt7zlLXHwwQfneUgAAIDaClY//vGP40Mf+lAMGjRok84/4ogjshsAAEAtyRWsTj/99O6rCQAAQG/cvOLqq6+OKVOmdHn8ve99b1x77bV5HgIAAKC2g9UNN9yQXaeqK+nYD3/4wzwPAQAAUNvB6o9//GOMHz++y+Pjxo3LzgEAAKhluYJVv379sutVdSVdv+q1dgkEAACoBblSz0EHHRQ33XRTNDY2bnRsxYoVceONN2bnAAAA1LJcuwJ++ctfjsMPPzwmTpwY5513XnadquTpp5+Oq666Khuxuu2227qrrgAAALUXrA488MC488474+/+7u/is5/9bBQKhay8VCrFnnvuGb/85S9dEBgAAKh5uYJV8u53vzueffbZ+N3vfte6UcWYMWNi//33bw1aAAAAtSx3sErSBhWTJk3KbgAAAL1NtwSr2bNnx3PPPRfLli3LpgF2dOqpp3bHwwAAANResEpT/6ZOnRqPP/54p4EqSdMBBSsAAKCW5QpWadOKWbNmZTsAHnbYYbHTTjt1X80AAAB6Q7D63//93/jiF78Y5557bvfVCAAAoDddIHjYsGExZMiQ7qsNAABAbwtWn/rUp+LWW2+N5ubm2Fb+/Oc/Z+u6hg4dGtttt11MmDAhZs6c2Xo8rfW6+OKLY+TIkdnxo446KubOnbvN6gcAAPQ+uaYCvvnNb85C1X777Rcf//jHY9SoUVFfX7/ReSeccEJ0h7Tr4CGHHBJHHHFE/PrXv45ddtklC01t13ZdccUVcfXVV8fNN9+cXaT4oosuiilTpmQ7Fw4YMKBb6gEAANBtweojH/lI6+ef//znu9wVsLtGtL7xjW9k4e3GG29sLUvhqe1oVdpI40tf+lIce+yxWdktt9wSw4cPjzvuuCNOPvnkbqkHAABAtwWr+++/P7alX/7yl9no04c//OF48MEH4w1veEN8+tOfjjPPPDM7/vzzz8eiRYuy6X8t0hqwAw88MB555JEug9WaNWuyW4uVK1dmH1MgbAmFKSCmCyEXi8V2W8u3lHcMj12Vp7LOwmYqT9L9b0p5GhlM9eisvGMduyrXJm3a2m0qFcufl0qpPhtGswuFYtTVNUexmO5rw4zkQqE56uqK0dycXpoKr1teV7c+CoVSNDf37VD39elRo1hsU55Vd12USuk5aP/SV19fLi8W25aXor5+fRSLdVEq1b9u+Wa1qZjmYad+yNmmrHxd9v3t676Zbcr6bL1+quJ+KhUj+hTKv0+19BrRVbk2aZM2aVM1tWlTB4lyBavDDz88tqV0EeJrr702Lrjggmw3whkzZsTf//3fR79+/eK0007LQlWSRqjaSl+3HOvM5ZdfHpdeeulG5c8880wMGjQo+3znnXeO0aNHx4IFC2Lp0qWt54wYMSK7zZs3LxobG1vL08haWgeWpio2NTW1lu+1114xePDgbGpi204aO3Zs1o60fX1baQ3Z2rVrY86cOe1+wFJ5erz0nLRIUx3HjRuXTZmcP39+a/kOO+wQY8aMicWLF7d7HrRJm7Z2m1aVVmUfm5ZPilmLJ7dpU0OMHv1ALFhwWCxdOr5Nm2bGiBEzYt68o6OxcVSbNj0QQ4c2xNy5H4qmpg1Tf/fa664YPHh+zJ59ajQ392vTpmnRr9+qmDXrk61l/ZdG9C1cH8V1g2LWrA3/yVJfvzYmTLghGht3j+eee3+bNi2LceOmxbJlY2P+/He26af5MWbMXbF48aRYtGjL2pTqMnb7ByIiX5vK/XR9rF07KObM2fI29V2V+uwu/VTF/bRsdcTRQ8u/W7X0GlGLr3vapE3aVHttWrWq/H7m9RRKXV3ZdzOk0Z7f/va3WaPTGqi0W+DWkBo4efLkePjhh1vLUrBKASuNSKXy9PgLFy7MNq9ocdJJJ2Vp9Pbbb9/kEavUAamj0pOdSPvapE2b36YnFz0Zk6+fHDPPrIuJwys7EjLt6Yipd6yLmWcWYuLwyo6EpLqcekdzzDirGPvtWvkRq2nPlGLq9PX6qYr76clFEQfdUIrHznwsJg6fWDOvEV2Va5M2aZM2VVObUjZIYW7FihWt2aDbR6yStFHEJZdckj1Qcs8998SRRx4ZS5YsyZJn2kwibWzRHVJY2meffdqVjR8/Pv7jP/4j+zwl1OSll15qF6zS1xMnTuzyfvv375/dOkod2XEzjpYnurNzt3V5+kHorLyrOm5uuTZpU942FeoKrW9m6+uLnZyfXsg2Hl5Pbyo7r0tX5etev/zVqqU3w52d31V5erP96vy0TSzfhDbVbfjOXG1qlbNNr+YF/VS9/VSoi1hfqr3XiC0t1yZt6qpcm7Rpa9S9q+Pdut162kTivPPOi6OPPjpuuOGGdokxjVqlgDVt2rToLmk0qu1wYvKHP/wh9thjj9aNLFK4uvfee1uPp4T52GOPxcEHH9xt9QAAAOi2Eatvf/vb2e57t912W/zlL3/Z6PikSZOyEa3ucv7558c73vGOuOyyy7LpfY8//nj88Ic/zG4t6TcFva9+9aux9957t263vttuu8Vxxx3XbfUAAADotmD17LPPZmucupLmInYWuLbU29/+9pg+fXr80z/9U3zlK1/JglPaXv2UU05pPefCCy+MV155Jc4666xYvnx5HHrooXH33Xe7hhUAAFCdwWrHHXfM1lJ1Je2w0bLuqbu8//3vz25dSaNWKXSlGwAAwLaQa43V+973vmwaXhoZ6myr8h/96EfxwQ9+MM9DAAAA1HawSmuZ0vaE++67b3zpS1/KRotuvvnmmDp1arYt+q677hoXX3xx99UWAACg1oJV2hTiiSeeyHYFTNeISrsC/uu//mvceeed8dGPfjQeffTRrXZNKwAAgGqR+zpWaVTq+uuvz24vv/xydiGtXXbZpct95QEAAGpN7mDVVgpUAAAAvU2uYLUpO++ldVfpWlIAAAC1KlewuuSSS14zUKU1V4IVAABQ63IthErrqTre1q9fH3/84x/j/PPPz3YGXLx4cffVFgAAoAp1+w4TadOKPffcM771rW/F3nvvHeeee253PwQAAEBV2apb9/3N3/xN/OpXv9qaDwEAAFDbwWrmzJm2XQcAAGpers0rbrnllk7Lly9fHg899FD8/Oc/j09+8pN5HgIAAKC2g9Xpp5/e5bFhw4bFF77whbj44ovzPAQA8KqGJQ1RLYYNHBajh4yudDUAaiNYPf/88xuVpe3Vd9ppp9hhhx3y3DUA8KoXV0XUFSKm/nxqVIuBfQdEwzlzhCuA7ghWe+yxR55vBwA2wfKmiGIp4tbjI8bvUunaRDS8HDF1elMsWb1EsALojmAFAGw7KVTtP7LStQCg24NV2vEvTf3bHOn8dBFhAACAWpErWKWNKe6444545plnYsqUKTF27Nis/Pe//33893//d+y7775x3HHHdVddAQAAai9Y7bbbbrF48eJ4+umnW0NVi4aGhjjyyCOzc84888y89QQAAKhaua7e+81vfjM+85nPbBSqkvHjx2fHrrjiijwPAQAAUNvBasGCBdG3b98uj6dj6RwAAIBalitYpTVU3//+9+PPf/7zRsdSoErHJkyYkOchAAAAanuN1Xe+851s04o3v/nNcfzxx8eb3vSmrHzu3LnZphalUiluvfXW7qorAABA7QWrQw89NB577LG46KKLYvr06fHXv/41K99uu+2ywHXppZcasQIAAGpe7gsEp+mAKVQVi8V4+eWXs7Jddtklu8YVAABAb5A7WLVIQWrAgAExaNAgoQoAAOhVciegmTNnxtFHHx0DBw6MoUOHxoMPPpiVL1myJI499th44IEHuqOeAAAAtRmsHn744WydVdqsYurUqdl0wBbDhg2LFStWxA9+8IPuqCcAAEBtBqsvfvGL2YWAZ8+eHZdddtlGx4844ohscwsAAIBalitYzZgxI84444zo379/FAqFjY6/4Q1viEWLFuV5CAAAgNoOVn379m03/a+jdOHgtJkFAABALcsVrA466KD493//906PvfLKK3HjjTfG4YcfnuchAAAAajtYpQsAp10BjznmmPj1r3+dlT311FNx/fXXx6RJk7LrWqWLBwMAANSyXNexOvDAA+NXv/pVnH322XHqqadmZZ/73Oeyj2PGjMmOvfWtb+2emgIAANRasCqVStHY2BjveMc7Ys6cOfHkk09m266nNVcpVKURq842tAAAAKg1Wxys1q5dGzvvvHO2zfqFF14YEydOzG4AAAC9zRavsUpbrI8YMSL7CAAA0Jvl2rzi9NNPj1tuuSUbvQIAAOitcm1eMWHChLjjjjviLW95Sxay3vjGN8Z222230XknnHBCnocBAACo3WD10Y9+tPXzrrZVTxtYNDc353kYAACA2gpWX/ziF+Pkk0/OtlG///77t06tAICq17CkIarBsIHDYvSQ0ZWuBtDLbXaw+vrXvx777rtvFqwOP/zw+Mtf/hK77rpr3HPPPXHkkUdunVoCAFXjxVURdYWIqT+fGtVgYN8B0XDOHOEK6LlTAdte0woA6B2WN0UUSxG3Hh8xfpfK1qXh5Yip05tiyeolghXQ84MVAND7pFC1/8hK1wKgBrZbBwAAYAtHrObNmxe//e1vs89XrFiRfZw7d27suOOOnZ6///7756kjAABA7QWrtLV6x+3VP/3pT3e69sp26wAAQK3b7GB14403bp2aAAAA9JZgddppp22dmgAAAPRQNq8AAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADozcHq61//ehQKhTjvvPNay5qamuKcc86JoUOHxqBBg+LEE0+Ml156qaL1BAAAaluPDVYzZsyIH/zgB/HWt761Xfn5558fd955Z/zsZz+LBx98MBYuXBgnnHBCxeoJAADUvh4ZrFatWhWnnHJK/OhHP4qddtqptXzFihVxww03xJVXXhlHHnlkTJo0KW688cZ4+OGH49FHH61onQEAgNrVJ3qgNNXvmGOOiaOOOiq++tWvtpY/8cQTsW7duqy8xbhx42L06NHxyCOPxEEHHdTp/a1Zsya7tVi5cmX2sbm5ObslacphXV1dFIvFKJVKree2lLec93rlqSwd66w8Sfe/KeX19fVZPTor71jHrsq1SZu2dptKxfLnpVKqT32bOhajrq45isV0Xxv+f6dQaI66umI0N6eXpsLrltfVrY9CoRTNzX071H19etQoFtuUZ9VdF6VSeg7av/TV15fLi8W25aWor18fxWJdlEr1r1u+WW0qpv/VSv2Qs01Z+brs+9vXfTPblPXZev1Uzf1UjOhTKPdTrjbVYD+VWvup/He7fd29lmuTNmlT5G5Tx+M1E6ymTZsWv/3tb7OpgB0tWrQo+vXrFzvuuGO78uHDh2fHunL55ZfHpZdeulH5M888k63TSnbeeecsoC1YsCCWLl3aes6IESOy27x586KxsbG1fNSoUdk6r7lz52brvlrstddeMXjw4Jg9e3a7Tho7dmxW91mzZrWrw4QJE2Lt2rUxZ86cdj9gqTw93nPPPddaPmDAgCxILlu2LObPn99avsMOO8SYMWNi8eLF7Z4HbdKmrd2mVaVV2cem5ZNi1uLJbdrUEKNHPxALFhwWS5eOb9OmmTFixIyYN+/oaGwc1aZND8TQoQ0xd+6Hoqlpwyj1XnvdFYMHz4/Zs0+N5uZ+bdo0Lfr1WxWzZn2ytaz/0oi+heujuG5QzJp1cps2rY0JE26Ixsbd47nn3t+mTcti3LhpsWzZ2Jg//51t+ml+jBlzVyxePCkWLdqyNqW6jN3+gYjI16ZyP10fa9cOijlztrxNfVelPrtLP1VxP6W6HD203E952lSL/bRsdUs/RVW87tXia7k2aVNvb9OqVeX3M6+nUOoYC6tYeqInT54c99xzT+vaqne+850xceLEuOqqq+K2226LM844o93oU3LAAQfEEUccEd/4xjc2ecQqdUDqqPRkJ9K+NmnT5rfpyUVPxuTrJ8fMM+ti4vDK/g/7tKcjpt6xLmaeWYiJwyv7P+ypLqfe0RwzzirGfrtWfsRq2jOlmDp9vX6q4n5KdTn9F6V47Mz1MXF45UesqqmfnlwUccD1qZ9mxH677teh7l7LtUmbtClytyllgxTm0rKjlmzQ40es0lS/lFj333//1rL0RDz00EPxve99L/7rv/4rS8bLly9vN2qVdgVM6bUr/fv3z24dpY5Mt86e6M7O3dbl6Qehs/Ku6ri55dqkTXnbVKgrtL5Jqq8vdnJ+eiHbeHg9vdHqvC5dla97/fJXq5beOHZ2flfl6U3cq/OeNrF8E9pUt+E7c7WpVc42vfreWj9VcT/VRawvdUObarCfCu36qfKve7X4Wr6l5dqkTbXSpq6O9+hg9a53vWujYcY0QpWGDv/xH/8xG2Xq27dv3Hvvvdk260kafnzhhRfi4IMPrlCtAQCAWtejglWaZ7nvvvu2K9t+++2zOZMt5Z/4xCfiggsuyIbr0lDdueeem4WqrjauAAAA6FXBalN85zvfyYYF04hVWjc1ZcqU+P73v1/pagEAADWsxwerBx4o7wTUdleRa665JrsBAABsCz3yAsEAAADVRLACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADISbACAADIqU/eOwAAqLSGJQ1RDdasXxP9+/SPajBs4LAYPWR0pasBvYZgBQD0WC+uiqgrREz9+dSoBvWFiOZSVIWBfQdEwzlzhCvYRgQrAKDHWt4UUSxF3Hp8xPhdKluXX82NuOj+6qhLw8sRU6c3xZLVSwQr2EYEKwCgx0tBZv+Rla1Dw5LqqQuw7dm8AgAAICfBCgAAICfBCgAAICfBCgAAICfBCgAAICfBCgAAICfBCgAAICfBCgAAICfBCgAAICfBCgAAICfBCgAAICfBCgAAICfBCgAAICfBCgAAICfBCgAAICfBCgAAICfBCgAAIKc+ee+Are+FFS/EktVLohoMGzgsRg8ZXelqAABAVRGsekCoGn/N2Fi9rimqwcC+A6LhnDnCFQAAtCFYVbk0UpVC1a3HR4zfpbJ1aXg5Yur0pqxOghUAAGwgWPUQKVTtP7LStQAAADojWEENqpZ1eQ1LGipdBQCAbUKwghpTbevyAAB6A8EKakw1rcv71dyIi+6vbB0AALYFwQpqVDWsy2uo/GxEAIBtwgWCAQAAchKsAAAAchKsAAAAchKsAAAAchKsAAAAchKsAAAAchKsAAAAchKsAAAAchKsAAAAchKsAAAAchKsAAAAchKsAAAAchKsAAAAchKsAAAAchKsAAAAchKsAAAAcuqT9w4AAKhODUsaoloMGzgsRg8ZXelqwFYjWAEA1JgXV0XUFSKm/nxqVIuBfQdEwzlzhCtqlmAFAFBjljdFFEsRtx4fMX6XStcmouHliKnTm2LJ6iWCFTVLsAIAqFEpVO0/stK1gN7B5hUAAAA5CVYAAAA5CVYAAAA5CVYAAAA5CVYAAAA5CVYAAAA5CVYAAAA5CVYAAAA5CVYAAAC9KVhdfvnl8fa3vz122GGH2HXXXeO4446LOXPmtDunqakpzjnnnBg6dGgMGjQoTjzxxHjppZcqVmcAAKD29ahg9eCDD2ah6dFHH4177rkn1q1bF+95z3vilVdeaT3n/PPPjzvvvDN+9rOfZecvXLgwTjjhhIrWGwAAqG19oge5++6723190003ZSNXTzzxRPzN3/xNrFixIm644Ya47bbb4sgjj8zOufHGG2P8+PFZGDvooIMqVHMAAKCW9ahg1VEKUsnOO++cfUwBK41iHXXUUa3njBs3LkaPHh2PPPJIl8FqzZo12a3FypUrs4/Nzc3ZLSkUClFXVxfFYjFKpVLruS3lLee9XnkqS8c6K0/S/beVHqsQhSgV+0Tbb6mvXxelUiGKxbZdWIr6+vVRLNZFqVT/uuWFQjHq6pqjWKyPUmnD4GWh0Bx1dcVobk73XWhTl1SBYpSKpXb139w2dVVeX5/qUeq0vOPz3lV5pfqpmtrUck75Z2ZD/9XVrY9CIfVd3w51X5/9jBSLHcvXZf3f/mdsM3/2srqsz36+mpu3/Gevq/LNalPWBeW6l++ngr9PxTRdoPz7lKtN+qn39FMxok+h3E95X8v1Uy/pp2JE30L69e6s7tu+n0qt/VR+f1Urf3Nr8X2ENsVGde94vOaCVWroeeedF4ccckjsu+++WdmiRYuiX79+seOOO7Y7d/jw4dmx11q7demll25U/swzz2TrtFrCWwpoCxYsiKVLl7aeM2LEiOw2b968aGxsbC0fNWpUts5r7ty52bqvFnvttVcMHjw4Zs+e3a6Txo4dm9V91qxZ7SuxS8SOfXaMZX86OWa9XC6qr18bEybcEI2Nu8dzz72/9dQBA5bFuHHTYtmysTF//jtby3fYYX6MGXNXLF48KRYtmtxavvPODTF69AOxYMFhsXTp+DZtmhkjRsyIefOOjsbGUa3lawc+EBENsXLhypj18qwtbtOECRNi7dq17dbHpV+aVJ6ew+eee65NmwZk4XjZsmUxf/78Nm3aIcaMGROLFy9u17eV6qdqatPagWuzjysXfihmvbxTmzbdFYMHz4/Zs0+N5uZ+bdo0Lfr1WxWzZn2yQ5uuj7VrB8WcOSe3adPm/ez1XZXad1c0LZ8UsxZv+c/eqFEPxNChDTF37oeiqWnL2tR/aXqTcX0U1w2KWbO2vE3d8fuU6jJ2+/LvU5426afe00+pLkcPLfdT3tdy/dQ7+inV5ZNvSInm+mhqyvca0R39tGx1Sz9FTf3NrcX3EdoUG7Vp1apVsSkKpY6xsIc4++yz49e//nX85je/id133z0rS1MAzzjjjHajT8kBBxwQRxxxRHzjG9/Y5BGr1AGpo9KTXcm0/+RLT8bbf/T2mPHJPjFxRGVHrJ58qTkm/6gYMz85MyaOmLjFbaql/8Goxjaln5nJP5ocM7OfmcqOhEx7phRTp6+PmWfWxcThlf0f9mlPR0y9Y13MPLMQE4dX9n9uU11OvaM5ZpxVjP12rfyIlX6q/n5KdTn9F6V47Mz1MXF45Ues9FP191Oqyxm/iHjkk+ti/5GVH7F6clHEAdenfpoR++26X838za3F9xHaFBvVPWWDFObSbLmWbFAzI1af+cxn4q677oqHHnqoNVQlKaGmZLx8+fJ2o1ZpV8B0rCv9+/fPbh2ljky3zp7ozs7dGuWps0tRikLduuj4LemFNb0wdpRezF6dp7GJ5emHaeMhzvQi2v7xXv1YV+i0/t3xHKT2dlbe1fO+ueVbq5+qqU3p8bKPdes3+pkpn7/xz0zX5Z3/jG3yz17Lz0yhGPX1W/6z9/rlm9Cmuteu+zb9farb8J252tRKP9V8P9VFrC91z2v565frp5rop7qIdaXy3+5q6KdCu36qnb+526Jcm6Liberq+Eb1iR4kJdIUqqZPnx733Xdf7Lnnnu2OT5o0Kfr27Rv33ntva1kafnzhhRfi4IMPrkCNAQCA3qBHjVilrdbTdL9f/OIX2ZzLlrmWQ4YMie222y77+IlPfCIuuOCCbLguDdWde+65WaiyIyAAALC19Khgde2112Yf3/nODQsqW7ZUP/3007PPv/Od72TDgunCwGnd1JQpU+L73/9+ReoLAAD0Dj0qWG3KPhtpV5FrrrkmuwEAAGwLPWqNFQAAQDUSrAAAAHISrAAAAHISrAAAAHrT5hVUh4YlDVENhg0cFqOHjK50NQAAQLBi0724KqKuEDH151OjGgzsOyAazpkjXAEAUHGCFZtseVNEsRRx6/ER43epbF0aXo6YOr0plqxeIlgBAFBxghWbLYWq/UdWuhYAAFA9bF4BAACQk2AFAACQk2AFAACQk2AFAACQk80r6NGq5ZpaietqAUDP+LvtbzZbg2BFj1Rt19RKXFcLAHrG321/s9kaBCt6pGq6plbiuloA0DP+bvubzdYiWNGjuaYWAPQc/m5Ty2xeAQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkJNgBQAAkFOfvHcAAABsmRdWvBBLVi+JarBm/Zro36d/VINhA4fF6CGjoycRrAAAoEKhavw1Y2P1uqaoBvWFiOZSVIWBfQdEwzlzelS4EqwAAKAC0khVClW3Hh8xfpfK1uVXcyMuuj+qoi4NL0dMnd6UPT+CFQAAsElSkNl/ZGXr0LCkeurSU9m8AgAAICfBCgAAICfBCgAAICfBCgAAICebV0A3aljSUOkqVEUdAKDaVcPfy2qoA91HsIJu8OKqiLpCxNSfT610VQCA1+BvNluLYAXdYHlTRLEUVXUdCgBgY/5ms7UIVtCNquk6FABA1/zNprvZvAIAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACAnwQoAACCnmg1W11xzTbzxjW+MAQMGxIEHHhiPP/54pasEAADUqJoMVrfffntccMEF8eUvfzl++9vfxn777RdTpkyJxYsXV7pqAABADarJYHXllVfGmWeeGWeccUbss88+cd1118XAgQPjxz/+caWrBgAA1KA+UWPWrl0bTzzxRPzTP/1Ta1ldXV0cddRR8cgjj3T6PWvWrMluLVasWJF9XLZsWTQ3N2efFwqF7H6KxWKUSqXWc1vKW857vfJUlo51Vp6k+2+rcWVjRFPEE3/sE40r2tx/3frIqlFq24WlKNQ1R6lUiCjVb0J5MQp1xSgV69pn7EJzFAqlKBXTuYXW4ob5zRFNpXjiufpoXLGhPArro5Duutjhx6mw/tWH37TyzWnT7+eXIpqa44nnCtG4Ysvb1HX55rWpYf56/VTl/fT7+RHRtD6eeC6iccWWt6k7+inVpZCel+dLrz4v+mlDXfRTZ3VPdalfU4onnm+OxpX5XiP0U+/op1SXPmsinnhufTSuzPcaoZ96Rz9tqEtzrGrM/94ocvTTH5aU69K4ojFWbr+yy/ff2+p9+cqVqXOi3WN1plB6vTN6mIULF8Yb3vCGePjhh+Pggw9uLb/wwgvjwQcfjMcee2yj77nkkkvi0ksv3cY1BQAAeor58+fH7rvv3ntGrLZEGt1Ka7JapHS6dOnSGDp0aJZit5WUhkeNGpV12uDBg7fZ45Kfvuu59F3Ppe96Jv3Wc+m7nkvf5ZPGoRobG2O33XZ7zfNqLlgNGzYs6uvr46WXXmpXnr4eMWJEp9/Tv3//7NbWjjvuGJWSfuD90PdM+q7n0nc9l77rmfRbz6Xvei59t+WGDBnS+zav6NevX0yaNCnuvffediNQ6eu2UwMBAAC6S82NWCVpWt9pp50WkydPjgMOOCCuuuqqeOWVV7JdAgEAALpbTQarj3zkI/Hyyy/HxRdfHIsWLYqJEyfG3XffHcOHD49qlqYjpmtvdZyWSPXTdz2Xvuu59F3PpN96Ln3Xc+m7baPmdgUEAADY1mpujRUAAMC2JlgBAADkJFgBAADkJFgBAADkJFhVkWuuuSbe+MY3xoABA+LAAw+Mxx9/vNJVooOHHnooPvCBD2RX3i4UCnHHHXe0O572gkm7UY4cOTK22267OOqoo2Lu3LkVqy9ll19+ebz97W+PHXbYIXbdddc47rjjYs6cOe3OaWpqinPOOSeGDh0agwYNihNPPHGjC42z7V177bXx1re+tfWilul6hL/+9a9bj+u3nuHrX/969pp53nnntZbpu+p1ySWXZP3V9jZu3LjW4/quev35z3+OqVOnZn2T3odMmDAhZs6c2Xrc+5StS7CqErfffnt2/a20FeZvf/vb2G+//WLKlCmxePHiSleNNtL10FLfpBDcmSuuuCKuvvrquO666+Kxxx6L7bffPuvH9EeIynnwwQezNwGPPvpo3HPPPbFu3bp4z3vek/Vni/PPPz/uvPPO+NnPfpadv3DhwjjhhBMqWm8idt999+xN+RNPPJG9OTjyyCPj2GOPjWeeeSY7rt+q34wZM+IHP/hBFpDb0nfV7S1veUu8+OKLrbff/OY3rcf0XXVatmxZHHLIIdG3b9/sP6Bmz54d3/72t2OnnXZqPcf7lK0sbbdO5R1wwAGlc845p/Xr5ubm0m677Va6/PLLK1ovupZ+faZPn976dbFYLI0YMaL0zW9+s7Vs+fLlpf79+5d++tOfVqiWdGbx4sVZ/z344IOt/dS3b9/Sz372s9ZzGhoasnMeeeSRCtaUzuy0006l66+/Xr/1AI2NjaW99967dM8995QOP/zw0mc/+9msXN9Vty9/+cul/fbbr9Nj+q56/eM//mPp0EMP7fK49ylbnxGrKrB27drsf2PTcGyLurq67OtHHnmkonVj0z3//PPZBanb9uOQIUOyaZ36sbqsWLEi+7jzzjtnH9PvXxrFatt3adrL6NGj9V0VaW5ujmnTpmUjjWlKoH6rfmmk+JhjjmnXR4m+q35pelia9r7XXnvFKaecEi+88EJWru+q1y9/+cuYPHlyfPjDH86mvb/tbW+LH/3oR63HvU/Z+gSrKrBkyZLsDcPw4cPblaev0y8APUNLX+nH6lYsFrN1Hmm6xL777puVpf7p169f7Ljjju3O1XfVYdasWdk6jv79+8enPvWpmD59euyzzz76rcqlEJymtqc1jh3pu+qW3mjfdNNNcffdd2frHNMb8sMOOywaGxv1XRV77rnnsv7ae++947/+67/i7LPPjr//+7+Pm2++OTvufcrW12cbPAZAVf0P+tNPP91uvQDVbezYsfHkk09mI43//u//Hqeddlq2roPqNX/+/PjsZz+brWlMGzLRs7z3ve9t/TytjUtBa4899oh/+7d/yzY8oHr/4zCNWF122WXZ12nEKv29S+up0usmW58RqyowbNiwqK+v32hHnfT1iBEjKlYvNk9LX+nH6vWZz3wm7rrrrrj//vuzTRFapP5JU3KXL1/e7nx9Vx3S/46/6U1vikmTJmWjH2kDmf/3//6ffqtiabpY2nxp//33jz59+mS3FIbTovn0efofcn3Xc6TRqTe/+c3x7LPP+r2rYmmnvzSa39b48eNbp3F6n7L1CVZV8qYhvWG499572/2vQ/o6rSOgZ9hzzz2zF6a2/bhy5cps1x39WFlpr5EUqtIUsvvuuy/rq7bS71/aRalt36Xt2NMfI31XfdLr45o1a/RbFXvXu96VTeFMI40tt/Q/6WmtTsvn+q7nWLVqVfzxj3/M3rj7vateaYp7x0uJ/OEPf8hGGxPvU7aBbbBBBptg2rRp2a4sN910U2n27Nmls846q7TjjjuWFi1aVOmq0WGHq9/97nfZLf36XHnlldnnf/rTn7LjX//617N++8UvflH6v//7v9Kxxx5b2nPPPUt//etfK131Xu3ss88uDRkypPTAAw+UXnzxxdbb6tWrW8/51Kc+VRo9enTpvvvuK82cObN08MEHZzcq6wtf+EK2e+Pzzz+f/U6lrwuFQum///u/s+P6redouytgou+q1+c+97ns9TL93v3v//5v6aijjioNGzYs21E10XfV6fHHHy/16dOn9LWvfa00d+7c0k9+8pPSwIEDS7feemvrOd6nbF2CVRX57ne/m71Q9evXL9t+/dFHH610lejg/vvvzwJVx9tpp53WupXpRRddVBo+fHgWlN/1rneV5syZU+lq93qd9Vm63Xjjja3npD8qn/70p7OtvNMfouOPPz4LX1TWxz/+8dIee+yRvS7usssu2e9US6hK9FvPDVb6rnp95CMfKY0cOTL7vXvDG96Qff3ss8+2Htd31evOO+8s7bvvvtl7kHHjxpV++MMftjvufcrWVUj/bIuRMQAAgFpljRUAAEBOghUAAEBOghUAAEBOghUAAEBOghUAAEBOghUAAEBOghUAAEBOghUAAEBOghUAAEBOghUAvcb3v//9KBQKceCBB1a6KgDUmEKpVCpVuhIAsC0ccsghsXDhwpg3b17MnTs33vSmN1W6SgDUCCNWAPQKzz//fDz88MNx5ZVXxi677BI/+clPKl0lAGqIYAVAr5CC1E477RTHHHNMfOhDH+o0WP3lL3+Jj33sYzF48ODYcccd47TTTounnnoqmz540003tTv397//fXY/O++8cwwYMCAmT54cv/zlL7dhiwCoJoIVAL1CClInnHBC9OvXLz760Y9mUwFnzJjRerxYLMYHPvCB+OlPf5oFqq997Wvx4osvZp939Mwzz8RBBx0UDQ0N8YUvfCG+/e1vx/bbbx/HHXdcTJ8+fRu3DIBqYI0VADXviSeeyEaU7rnnnjjqqKMi/ekbPXp0nHjiiXHVVVdl5/z85z9v/fqzn/1sa9h697vfHffdd1/ceOONcfrpp2fl6T4WL16cBbP+/ftnZek+Dz300Hj55ZfjD3/4QwVbC0AlGLECoFeMVg0fPjyOOOKI7Os0te8jH/lITJs2LZqbm7Oyu+++O/r27Rtnnnlm6/fV1dXFOeec0+6+li5dmgWtk046KRobG2PJkiXZLU0jnDJlSjYS9uc//3kbtxCAShOsAKhpKTilAJVCVdrA4tlnn81uacv1l156Ke69997svD/96U8xcuTIGDhwYLvv77hzYPreNDp10UUXZZtgtL19+ctfzs5Jo1kA9C59Kl0BANia0uhSWiuVwlW6dTaa9Z73vGeT7y9ND0w+//nPZyNUnbGNO0DvI1gBUNNScNp1113jmmuu2ehYWleVNpu47rrrYo899oj7778/Vq9e3W7UKo1QtbXXXntlH9O0wbTWCgASm1cAULP++te/ZmurPvzhD8cNN9yw0fF0Xat00eA0ktWnT59s+/RN2bwiTSv8v//7v3j66aez6YNtpc0r0rRAAHoXI1YA1Kx0Xam0wcQHP/jBTo+nLdNbLhacRq4OOOCA+NznPpeNUo0bNy77/rRZRcuGFy3S6FfaAXDChAnZZhdpFCut13rkkUdiwYIF2bWvAOhdBCsAalYKTOnivWnUqTNp1790weB03vLly+M///M/s9Gqm2++OTt2/PHHZxtSpFGtdD8t9tlnn5g5c2Zceuml2YWD046Aabrh2972trj44ou3YQsBqBamAgLAa7jjjjuygPWb3/wmC1gA0BnBCgDarMnabrvt2m3VnnYMTKNTixYtancMANoyFRAAXnXuuedm4erggw+ONWvWZLsGpg0uLrvsMqEKgNdkxAoAXnXbbbfFt7/97Wzziqampux6VGeffXZ85jOfqXTVAKhyghUAAEBOdXnvAAAAoLcTrAAAAHISrAAAAHISrAAAAHISrAAAAHISrAAAAHISrAAAAHISrAAAACKf/x+u1WJyiBMfogAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(final_df['Age'], bins=20, color='yellow', edgecolor='green')\n",
    "plt.title(\"Age Distribution\", fontsize=14, color='red')\n",
    "plt.xlabel(\"Age\", fontsize=12)\n",
    "plt.ylabel(\"Frequency\", fontsize=12)\n",
    "plt.grid(axis='y', linestyle='--', alpha=0.6)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "0c59fb8f-1096-42f2-9ff4-bf77ef69d808",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gender_counts = final_df['Sex'].value_counts()\n",
    "plt.figure(figsize=(6, 5))\n",
    "plt.bar(gender_counts.index, gender_counts.values, color=['green', 'orange'])\n",
    "plt.title(\"Passenger Count by Gender\", fontsize=14, color='darkblue')\n",
    "plt.xlabel(\"Gender\", fontsize=12)\n",
    "plt.ylabel(\"Count\", fontsize=12)\n",
    "plt.grid(axis='y', linestyle='--', alpha=0.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "624a3d9f-ea9c-4ba5-a881-31363fa7cd11",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "embarked_counts = final_df['Embarked'].value_counts()\n",
    "plt.figure(figsize=(6, 6))\n",
    "plt.pie(embarked_counts, labels=embarked_counts.index, autopct='%1.1f%%',\n",
    "        colors=['lightgreen', 'gold', 'coral'], startangle=90)\n",
    "plt.title(\"Passenger Embarkation Distribution\", fontsize=14, color='darkred')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "55e55fbd-6bf3-4037-96bc-fd4fddaa0aec",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "sns.boxplot(x='Sex', y='Age', hue='Sex', data=final_df, palette={'male': 'orange', 'female': 'purple'}, dodge=False)\n",
    "plt.title(\"Age Distribution by Gender\", fontsize=14)\n",
    "plt.xlabel(\"Gender\", fontsize=12)\n",
    "plt.ylabel(\"Age\", fontsize=12)\n",
    "plt.legend([],[], frameon=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "e7973c1a-3584-42d1-b884-7adf0cdea838",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "plt.scatter(final_df['Age'], final_df['Fare'], color='teal', alpha=0.5)\n",
    "plt.title(\"Age vs. Fare\", fontsize=14)\n",
    "plt.xlabel(\"Age\", fontsize=12)\n",
    "plt.ylabel(\"Fare\", fontsize=12)\n",
    "plt.grid(True, linestyle='--', alpha=0.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "a6d4b453-3802-439c-a7c2-444a40ad6124",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "avg_fare_by_age = final_df.groupby('Age')['Fare'].mean().reset_index()\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(avg_fare_by_age['Age'], avg_fare_by_age['Fare'], color='pink', marker='o', linestyle='--')\n",
    "plt.title(\"Average Fare by Age\", fontsize=14)\n",
    "plt.xlabel(\"Age\", fontsize=12)\n",
    "plt.ylabel(\"Average Fare\", fontsize=12)\n",
    "plt.grid(True, linestyle='--', alpha=0.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "1b7df250-bf14-4c35-8935-5924c96c91cc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "df_for_heatmap = final_df\n",
    "numeric_df = df_for_heatmap.select_dtypes(include=['number'])\n",
    "if 'Parch' in numeric_df.columns:\n",
    "    numeric_df = numeric_df.drop(columns=['Parch'])\n",
    "plt.figure(figsize=(10, 6))\n",
    "sns.heatmap(numeric_df.corr(), annot=True, cmap=sns.color_palette(['blue', 'pink', 'brown']), fmt=\".2f\", linewidths=0.5)\n",
    "plt.title(\"Correlation Heatmap (Excluding 'Parch')\", fontsize=14)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "60f647e8-c7dc-4c70-b885-060397686496",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}