Sales Prediction Analysis.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Dataset Information\n",
    "\n",
    "This dataset comprises of sales transactions captured at a retail store. It’s a classic dataset to explore and expand your feature engineering skills and day to day understanding from multiple shopping experiences. This is a regression problem. The dataset has 550,069 rows and 12 columns.\n",
    "\n",
    "**Problem:** Predict purchase amount\n",
    "\n",
    "## Attributes:\n",
    "| Column ID |         Column Name        | Data type |           Description           | Masked |\n",
    "|:---------:|:--------------------------:|:---------:|:-------------------------------:|--------|\n",
    "|     0     |           User_ID          |   int64   |      Unique Id of customer      | False  |\n",
    "|     1     |         Product_ID         |   object  |       Unique Id of product      | False  |\n",
    "|     2     |           Gender           |   object  |         Sex of customer         | False  |\n",
    "|     3     |             Age            |   object  |         Age of customer         | False  |\n",
    "|     4     |         Occupation         |   int64   |   Occupation code of customer   | True   |\n",
    "|     5     |        City_Category       |   object  |         City of customer        | True   |\n",
    "|     6     | Stay_In_Current_City_Years |   object  | Number of years of stay in city | False  |\n",
    "|     7     |       Marital_Status       |   int64   |    Marital status of customer   | False  |\n",
    "|     8     |     Product_Category_1     |   int64   |       Category of product       | True   |\n",
    "|     9     |     Product_Category_2     |  float64  |       Category of product       | True   |\n",
    "|     10    |     Product_Category_3     |  float64  |       Category of product       | True   |\n",
    "|     11    |          Purchase          |   int64   |         Purchase amount         | False  |"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Import modules"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "import warnings\n",
    "%matplotlib inline\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Loading the dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>User_ID</th>\n",
       "      <th>Product_ID</th>\n",
       "      <th>Gender</th>\n",
       "      <th>Age</th>\n",
       "      <th>Occupation</th>\n",
       "      <th>City_Category</th>\n",
       "      <th>Stay_In_Current_City_Years</th>\n",
       "      <th>Marital_Status</th>\n",
       "      <th>Product_Category_1</th>\n",
       "      <th>Product_Category_2</th>\n",
       "      <th>Product_Category_3</th>\n",
       "      <th>Purchase</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00069042</td>\n",
       "      <td>F</td>\n",
       "      <td>0-17</td>\n",
       "      <td>10</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8370</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00248942</td>\n",
       "      <td>F</td>\n",
       "      <td>0-17</td>\n",
       "      <td>10</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>6.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>15200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00087842</td>\n",
       "      <td>F</td>\n",
       "      <td>0-17</td>\n",
       "      <td>10</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>12</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1422</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00085442</td>\n",
       "      <td>F</td>\n",
       "      <td>0-17</td>\n",
       "      <td>10</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>12</td>\n",
       "      <td>14.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1057</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1000002</td>\n",
       "      <td>P00285442</td>\n",
       "      <td>M</td>\n",
       "      <td>55+</td>\n",
       "      <td>16</td>\n",
       "      <td>C</td>\n",
       "      <td>4+</td>\n",
       "      <td>0</td>\n",
       "      <td>8</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7969</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   User_ID Product_ID Gender   Age  Occupation City_Category  \\\n",
       "0  1000001  P00069042      F  0-17          10             A   \n",
       "1  1000001  P00248942      F  0-17          10             A   \n",
       "2  1000001  P00087842      F  0-17          10             A   \n",
       "3  1000001  P00085442      F  0-17          10             A   \n",
       "4  1000002  P00285442      M   55+          16             C   \n",
       "\n",
       "  Stay_In_Current_City_Years  Marital_Status  Product_Category_1  \\\n",
       "0                          2               0                   3   \n",
       "1                          2               0                   1   \n",
       "2                          2               0                  12   \n",
       "3                          2               0                  12   \n",
       "4                         4+               0                   8   \n",
       "\n",
       "   Product_Category_2  Product_Category_3  Purchase  \n",
       "0                 NaN                 NaN      8370  \n",
       "1                 6.0                14.0     15200  \n",
       "2                 NaN                 NaN      1422  \n",
       "3                14.0                 NaN      1057  \n",
       "4                 NaN                 NaN      7969  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('train.csv')\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>User_ID</th>\n",
       "      <th>Occupation</th>\n",
       "      <th>Marital_Status</th>\n",
       "      <th>Product_Category_1</th>\n",
       "      <th>Product_Category_2</th>\n",
       "      <th>Product_Category_3</th>\n",
       "      <th>Purchase</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>5.500680e+05</td>\n",
       "      <td>550068.000000</td>\n",
       "      <td>550068.000000</td>\n",
       "      <td>550068.000000</td>\n",
       "      <td>376430.000000</td>\n",
       "      <td>166821.000000</td>\n",
       "      <td>550068.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>1.003029e+06</td>\n",
       "      <td>8.076707</td>\n",
       "      <td>0.409653</td>\n",
       "      <td>5.404270</td>\n",
       "      <td>9.842329</td>\n",
       "      <td>12.668243</td>\n",
       "      <td>9263.968713</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>1.727592e+03</td>\n",
       "      <td>6.522660</td>\n",
       "      <td>0.491770</td>\n",
       "      <td>3.936211</td>\n",
       "      <td>5.086590</td>\n",
       "      <td>4.125338</td>\n",
       "      <td>5023.065394</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1.000001e+06</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>12.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>1.001516e+06</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>9.000000</td>\n",
       "      <td>5823.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>1.003077e+06</td>\n",
       "      <td>7.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>9.000000</td>\n",
       "      <td>14.000000</td>\n",
       "      <td>8047.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>1.004478e+06</td>\n",
       "      <td>14.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>8.000000</td>\n",
       "      <td>15.000000</td>\n",
       "      <td>16.000000</td>\n",
       "      <td>12054.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>1.006040e+06</td>\n",
       "      <td>20.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>20.000000</td>\n",
       "      <td>18.000000</td>\n",
       "      <td>18.000000</td>\n",
       "      <td>23961.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            User_ID     Occupation  Marital_Status  Product_Category_1  \\\n",
       "count  5.500680e+05  550068.000000   550068.000000       550068.000000   \n",
       "mean   1.003029e+06       8.076707        0.409653            5.404270   \n",
       "std    1.727592e+03       6.522660        0.491770            3.936211   \n",
       "min    1.000001e+06       0.000000        0.000000            1.000000   \n",
       "25%    1.001516e+06       2.000000        0.000000            1.000000   \n",
       "50%    1.003077e+06       7.000000        0.000000            5.000000   \n",
       "75%    1.004478e+06      14.000000        1.000000            8.000000   \n",
       "max    1.006040e+06      20.000000        1.000000           20.000000   \n",
       "\n",
       "       Product_Category_2  Product_Category_3       Purchase  \n",
       "count       376430.000000       166821.000000  550068.000000  \n",
       "mean             9.842329           12.668243    9263.968713  \n",
       "std              5.086590            4.125338    5023.065394  \n",
       "min              2.000000            3.000000      12.000000  \n",
       "25%              5.000000            9.000000    5823.000000  \n",
       "50%              9.000000           14.000000    8047.000000  \n",
       "75%             15.000000           16.000000   12054.000000  \n",
       "max             18.000000           18.000000   23961.000000  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# statistical info\n",
    "df.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 550068 entries, 0 to 550067\n",
      "Data columns (total 12 columns):\n",
      " #   Column                      Non-Null Count   Dtype  \n",
      "---  ------                      --------------   -----  \n",
      " 0   User_ID                     550068 non-null  int64  \n",
      " 1   Product_ID                  550068 non-null  object \n",
      " 2   Gender                      550068 non-null  object \n",
      " 3   Age                         550068 non-null  object \n",
      " 4   Occupation                  550068 non-null  int64  \n",
      " 5   City_Category               550068 non-null  object \n",
      " 6   Stay_In_Current_City_Years  550068 non-null  object \n",
      " 7   Marital_Status              550068 non-null  int64  \n",
      " 8   Product_Category_1          550068 non-null  int64  \n",
      " 9   Product_Category_2          376430 non-null  float64\n",
      " 10  Product_Category_3          166821 non-null  float64\n",
      " 11  Purchase                    550068 non-null  int64  \n",
      "dtypes: float64(2), int64(5), object(5)\n",
      "memory usage: 50.4+ MB\n"
     ]
    }
   ],
   "source": [
    "# datatype info\n",
    "df.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "User_ID                        5891\n",
       "Product_ID                     3631\n",
       "Gender                            2\n",
       "Age                               7\n",
       "Occupation                       21\n",
       "City_Category                     3\n",
       "Stay_In_Current_City_Years        5\n",
       "Marital_Status                    2\n",
       "Product_Category_1               20\n",
       "Product_Category_2               18\n",
       "Product_Category_3               16\n",
       "Purchase                      18105\n",
       "dtype: int64"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# find unique values\n",
    "df.apply(lambda x: len(x.unique()))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exploratory Data Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22ab656e100>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# distplot for purchase\n",
    "plt.style.use('fivethirtyeight')\n",
    "plt.figure(figsize=(13, 7))\n",
    "sns.distplot(df['Purchase'], bins=25)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22ab65f4970>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# distribution of numeric variables\n",
    "sns.countplot(df['Gender'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22ab66aae80>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(df['Age'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22ab6700e50>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(df['Marital_Status'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22ab6786190>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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JMXl5eaivr9eKKSoq0rocJTs7GyYmJnB1dX2g60xERI+ODhthvvvuu/D19YWNjY14DPP69et49dVXIZFIEBYWhnXr1kGpVGLgwIFISEiAubk5AgMDAQC9e/fGjBkzEBMTA7lcDktLS0RHR8PZ2RmjR48GAKhUKowdOxbh4eFITEyEIAgIDw+Hj4+P+Ivfy8sLTk5OmDdvHmJjY1FdXY2YmBjMnDmTZ8gSEZGowxLmTz/9hJCQEHFK9dlnn8Xhw4dhZ2cHAFi4cCFu3LiByMhIqNVquLm5Yf/+/ejZs6fYxqpVqyCVShEcHIyGhgaMHDkSmzdvhlQqFWOSk5OxZMkSBAQEAAD8/PwQHx8vlkulUqSlpSEiIgK+vr4wNTVFYGAgYmNjH9KWICKiR4FErVYLHd2JR9XNTw8YVK/b9AlG7knnk71vmsF1x0zZbcSeGNeirCCD6m3wSjNyT4joYes0xzCJiIg6MyZMIiIiHXSay0p+zxo+TTKonun0N43cEyIiuhuOMImIiHTAhElERKQDJkwiIiIdMGESERHpgAmTiIhIB0yYREREOtArYQ4dOhSZmZl3LT948CCGDh16350iIiLqbPRKmJcvX0Z9ff1dy+vr61FaauDzj4iIiDoxvadk23uo8oULF7Rujk5ERPS4uOedfj799FN89tln4vuEhASkpqa2ilOr1Th//jx8fHyM20MiIqJO4J4Js76+HuXl5eL7mpoaNDc3a8VIJBJ0794db7zxBpYuXWr8XhIREXWweybMOXPmYM6cOQCAIUOGYPXq1XjxxRcfeMeIiIg6E71uvl5QUPCg+kFERNSpGfS0ktraWly5cgXV1dUQhNbPnx4xYsR9d4yIiKgz0SthVldXY8mSJfj73/8OjUbTqlwQBEgkEvzyyy9G6yAREVFnoFfCDA8PxxdffIE5c+ZgxIgRsLCweFD9IiIi6lT0SphHjhzB3Llz8de//vVB9YeIiKhT0uvGBd26dcOAAQMeSEfWrVsHCwsLREZGissEQUBcXBwcHR1hZWUFf39/FBYWatVrbGxEZGQkHBwcYG1tjWnTpqGsrEwrRq1WIzQ0FHZ2drCzs0NoaCjUarVWTGlpKYKCgmBtbQ0HBwcsXrwYN2/efCDrSkREjx69EubEiRNx+PBho3fi9OnTSE1NhbOzs9byxMREJCUlYc2aNcjKyoJcLsfkyZNRW1srxkRFReHAgQNISUlBZmYmamtrERQUpHWMNSQkBAUFBdi7dy/S09NRUFCAuXPniuUajQZBQUGoq6tDZmYmUlJSkJGRgejoaKOvKxERPZr0Sph//vOfce3aNcybNw+nT5/GtWvX8PPPP7d66aOmpgZz5szBhx9+qHVMVBAEbNq0CYsWLcLEiRMxePBgbNq0CXV1dUhPTxfr7ty5EytXrsSYMWPg6uqKLVu24Ny5czh69CgAoKioCEeOHMGGDRvg7u6O4cOHY/369Th06BCKi4sBAFlZWSgsLMSWLVvg6uqKMWPGYMWKFdixYwd+/fVXvdaHiIgeT3olTDc3N5w5cwZpaWnw8fHB4MGDoVKpWr30cTshjho1Smt5SUkJysvL4eXlJS4zMzODp6cncnNzAQD5+floamrSirGxsYFKpRJj8vLy0KNHD7i7u4sxHh4eMDc314pRqVSwsbERY7y9vdHY2Ij8/Hy91oeIiB5Pep30s3jx4nZvvq6v1NRUXLx4EVu2bGlVdvt2fHK5XGu5XC7H1atXAQAVFRWQSqWQyWStYioqKsQYmUym1W+JRII+ffpoxbT8HJlMBqlUKsYY0+2R7W22RmrncfE4rtfjuE70aDP9t2HfPA1uj+8TqZRKZbvleiXMqKio++rMnYqLi7Fy5Ur885//RLdu3e4a1zJB377Wsz0tY9qK1yWmveX3o+UfpeH0V0ZppzO5ch83herM6wUDvys69TrR71LpvxsMqvd73pf1fryXseTl5aGqqgp//OMfIZPJIJPJcPz4cWzbtg0ymQx/+MMfAKDVCK+yslIcDfbt2xcajQZVVVXtxlRWVmrdkUgQBFRVVWnFtPycqqoqaDSaViNPIiL6fdJrhLlmzZp7xkgkEixevPiecf7+/njmmWe0lr355psYMGAA/vKXv2DgwIFQKBTIzs7GsGHDAAANDQ04efIkVq5cCQBwdXVF165dkZ2djVdeeQUAUFZWhqKiIvGY5fDhw1FXV4e8vDxxWV5eHurr67ViEhISUFZWhv79+wMAsrOzYWJiAldXV102DRERPeb0SpirV6++a5lEIhGnOXVJmBYWFq3uFNS9e3dYWlpi8ODBAICwsDCsW7cOSqUSAwcOREJCAszNzREYGAgA6N27N2bMmIGYmBjI5XJYWloiOjoazs7OGD16NABApVJh7NixCA8PR2JiIgRBQHh4OHx8fMSpBS8vLzg5OWHevHmIjY1FdXU1YmJiMHPmTPTq1UufTURERI8pve8l21JzczMuX76MLVu2IDc3V7zkwxgWLlyIGzduIDIyEmq1Gm5ubti/fz969uwpxqxatQpSqRTBwcFoaGjAyJEjsXnzZkilUjEmOTkZS5YsQUBAAADAz88P8fHxYrlUKkVaWhoiIiLg6+sLU1NTBAYGIjY21mjrQkREjzaJWq1u/bgRAwUHB6Nr167YunWrsZrs1G5+esCget2mT9B63/BpkkHtmE5/06B6D0P2vmkG1x0zZbcRe2Jci7KCDKq3wSvNyD0huj+luw076cd2mqmRe/LoMOpJPy+88AIOHTpkzCaJiIg6BaMmzOLi4jafj0lERPSo0+sY5vHjx9tcXlNTg5ycHCQnJ2PSpElG6RgREVFnolfCfOmll+56EwCpVIopU6bodOkJERHRo0avhHngQOuTXCQSCSwsLGBnZ6d19ioREdHjRK+E+fzzzz+ofhAREXVqeiXM22pra3Hs2DFcvnwZAGBnZ4fnn3+eI0wiInps6Z0wt2zZgtjYWNTX12udEWtubo5ly5ZpPZiZiIjocaFXwty9ezeWLl0KNzc3hIWFQaVSQRAE/PDDD9i8eTOioqJgaWmJqVOnPqj+EhERdQi9EmZSUhLc3d3xxRdfoEuX/6vq4uKCiRMn4qWXXsKHH37IhElERI8dvW5cUFxcjICAAK1keVuXLl0QEBCACxcuGK1zREREnYVeCdPc3Bzl5eV3LS8vL0f37t3vu1NERESdjV4J08vLC1u2bEFOTk6rsmPHjmHr1q3w9vY2WueIiIg6C72OYS5fvhwnTpzAxIkTMWTIEAwaNAgA8MMPP6CgoAD9+vXD8uXLH0hHiYiI7qVx5ymD6pnM8LhnjF4jTBsbG+Tk5GD+/Pm4fv06MjIykJGRgevXr+PNN99ETk4O+vfvb1BniYiIOjO9Rpj19fWor69HbGxsmw9XLi0thampKY9jEhHRY0evEeY777yD6dOn37X8tddew7Jly+67U0RERJ2NXgkzOzsbL7300l3LX3rpJXz99df33SkiIqLORq+EWV5eDisrq7uWKxQKXLt27b47RURE1NnolTD79OmDwsLCu5YXFhaid+/e990pIiKizkavhDlu3DikpqYiNze3Vdnp06eRmpqKcePG6dRWcnIyPD09YWtrC1tbW4wbNw6HDh0SywVBQFxcHBwdHWFlZQV/f/9WybqxsRGRkZFwcHCAtbU1pk2bhrKyMq0YtVqN0NBQ2NnZwc7ODqGhoVCr1VoxpaWlCAoKgrW1NRwcHLB48WLcvHlT181CRES/A3qdJRsVFYXDhw/jxRdfxNixYzF48GBIJBKcO3cOR44cgUKhQHR0tE5tWVtbY8WKFRgwYACam5vx2Wef4bXXXsPRo0fx9NNPIzExEUlJSUhKSoJSqUR8fDwmT56M06dPi48Ri4qKQmZmJlJSUmBpaYno6GgEBQXhm2++gVQqBQCEhITgypUr2Lt3LyQSCRYsWIC5c+ciLS0NAKDRaBAUFARLS0tkZmaiuroaYWFhEAQBa9eu1WfzEJGRzDxs2LV0O8bd+1o6IkPplTAVCgWys7OxfPlyfPnll/jqq68AAD179kRQUBCWL18OhUKhU1v+/v5a75ctW4aUlBScPn0azs7O2LRpExYtWoSJEycCADZt2gSlUon09HQEBwejpqYGO3fuRFJSEsaMGQPg1qPHXFxccPToUXh7e6OoqAhHjhzBwYMH4e7uDgBYv349/Pz8UFxcDKVSiaysLBQWFuLs2bOwsbEBAKxYsQILFizAsmXL0KtXL302ERERPab0mpIFgL59+2LTpk0oKSnBDz/8gKKiIpSUlODjjz/WOVm2pNFosG/fPtTX12P48OEoKSlBeXk5vLy8xBgzMzN4enqK08H5+floamrSirGxsYFKpRJj8vLy0KNHDzFZAoCHhwfMzc21YlQqlZgsAcDb2xuNjY3Iz883aH2IiOjxo/cDpG+TSCSQy+X39eHnzp3D+PHj0dDQAHNzc3zyySdwdnYWk1nL9uVyOa5evQoAqKiogFQqhUwmaxVTUVEhxshkMkgkEq1+9+nTRyum5efIZDJIpVIxxtiKi4u13tsaqZ3HxeO4Xo/jOnVG3M66MzXwm6ezb2M7A+vdnnVsj8EJ0xiUSiVycnJQU1ODjIwMhIWF4YsvvhDL70x0wK0TgVoua6llTFvxusS0t/x+tfyjNJz+yijtdCZXCgyv25nXC6WGVevU69QZXaoyqBq3s+5K/91gUL3Ovo0bTz24fUfvKVlj6tatGxwcHPDMM89g+fLlcHFx0ZrabTnCq6ysFEeDffv2hUajQVVVVbsxlZWVEARBLBcEAVVVVVoxLT+nqqoKGo3mvkfQRET0+OjQhNlSc3Mzbt68CXt7e/EEo9saGhpw8uRJ8Xikq6srunbtqhVTVlaGoqIiMWb48OGoq6tDXl6eGJOXl4f6+nqtmKKiIq3LUbKzs2FiYgJXV9cHur5ERPTo6LAp2ffeew/jx49H//79UVdXh/T0dBw7dgx79uyBRCJBWFgY1q1bB6VSiYEDByIhIQHm5uYIDAwEAPTu3RszZsxATEwM5HK5eFmJs7MzRo8eDQBQqVQYO3YswsPDkZiYCEEQEB4eDh8fH3H47eXlBScnJ8ybNw+xsbGorq5GTEwMZs6cyTNkiYhI1GEJs7y8HKGhoaioqECvXr3g7OyM9PR08QHUCxcuxI0bNxAZGQm1Wg03Nzfs379fvAYTAFatWgWpVIrg4GA0NDRg5MiR2Lx5s3gNJnDrBglLlixBQEAAAMDPzw/x8fFiuVQqRVpaGiIiIuDr6wtTU1MEBga2+TQWIiL6/eqwhLlp06Z2yyUSCaKiohAVFXXXGFNTU6xdu7bdGwxYWlpi69at7X6Wra2teCMDIiKitnSqY5hERESdVYdeVkJE1Nkty/rV4Lrve/E8iMcJR5hEREQ6YMIkIiLSAadkHyMVO2caVK/vjB1G7gkR0eOHI0wiIiIdMGESERHpgFOyRESPkP/58qbBdZ/172bEnvz+cIRJRESkAyZMIiIiHTBhEhER6YAJk4iISAdMmERERDpgwiQiItIBEyYREZEOmDCJiIh0wIRJRESkAyZMIiIiHTBhEhER6YAJk4iISAcdljA/+OADjBkzBra2thgwYACCgoJw/vx5rRhBEBAXFwdHR0dYWVnB398fhYWFWjGNjY2IjIyEg4MDrK2tMW3aNJSVlWnFqNVqhIaGws7ODnZ2dggNDYVardaKKS0tRVBQEKytreHg4IDFixfj5k3Db3JMRESPlw5LmMeOHcPs2bNx6NAhZGRkoEuXLpg0aRKqq6vFmMTERCQlJWHNmjXIysqCXC7H5MmTUVtbK8ZERUXhwIEDSElJQWZmJmpraxEUFASNRiPGhISEoKCgAHv37kV6ejoKCgowd+5csVyj0SAoKAh1dXXIzMxESkoKMjIyEB0d/XA2BhERdXod9niv/fv3a73fsmUL7OzscOrUKfj5+UEQBGzatAmLFi3CxIkTAQCbNm2CUqlEeno6goODUVNTg507dyIpKQljxowR23FxccHRo0fh7e2NoqIiHDlyBAcPHoS7uzsAYP369fDz80NxcTGUSiWysrJQWFiIs2fPwsbGBgCwYsUKLFiwAMuWLUOvXr0e4jsu8OAAACAASURBVJYhIqLOqNM8D7Ourg7Nzc2wsLAAAJSUlKC8vBxeXl5ijJmZGTw9PZGbm4vg4GDk5+ejqalJK8bGxgYqlQq5ubnw9vZGXl4eevToISZLAPDw8IC5uTlyc3OhVCqRl5cHlUolJksA8Pb2RmNjI/Lz8zFy5MiHsAXoQdr8z6kG153nt8eIPSGiR1WnSZhLly6Fi4sLhg8fDgAoLy8HAMjlcq04uVyOq1evAgAqKioglUohk8laxVRUVIgxMpkMEolELJdIJOjTp49WTMvPkclkkEqlYowxFRcXa723NVI7vY3UTkd7HPvT2dbpcfVgtrPC4JoPpj/2Bte8sz+mBn7zdPZ92c7AerdnHNvTKRLmO++8g1OnTuHgwYOQSqVaZXcmOuDWiUAtl7XUMqateF1i2lt+P1r+URpOf2WUdipOGac/xnClwPC6D6I/X18wvK5Wf0qN0Abd26Uqg6o9kO1c+qvBVR9Ef/7nB8NPRryzP6X/brjvNjqjxlMPbt/p8MtKoqKisG/fPmRkZODJJ58UlysUt37VtRzhVVZWiqPBvn37QqPRoKqqqt2YyspKCIIglguCgKqqKq2Ylp9TVVUFjUbTauRJRES/Tx2aMJcsWYL09HRkZGRg0KBBWmX29vZQKBTIzs4WlzU0NODkyZPi8UhXV1d07dpVK6asrAxFRUVizPDhw1FXV4e8vDwxJi8vD/X19VoxRUVFWpejZGdnw8TEBK6ursZfcSIieuR02JRsREQE0tLS8Mknn8DCwkI8Zmlubo4ePXpAIpEgLCwM69atg1KpxMCBA5GQkABzc3MEBgYCAHr37o0ZM2YgJiYGcrkclpaWiI6OhrOzM0aPHg0AUKlUGDt2LMLDw5GYmAhBEBAeHg4fHx9xCO7l5QUnJyfMmzcPsbGxqK6uRkxMDGbOnMkzZImICEAHJsxt27YBgHjJyG1LlixBVFQUAGDhwoW4ceMGIiMjoVar4ebmhv3796Nnz55i/KpVqyCVShEcHIyGhgaMHDkSmzdv1joWmpycjCVLliAgIAAA4Ofnh/j4eLFcKpUiLS0NERER8PX1hampKQIDAxEbG/vA1p+IiB4tHZYwW95ppy0SiQRRUVFiAm2Lqakp1q5di7Vr1941xtLSElu3bm33s2xtbZGWlnbPPhER0e9TpzhLljqXgj2vGVRvyNRdRu4JEVHn0eFnyRIRET0KmDCJiIh0wIRJRESkAyZMIiIiHTBhEhER6YAJk4iISAdMmERERDpgwiQiItIBEyYREZEOmDCJiIh0wIRJRESkAyZMIiIiHTBhEhER6YAJk4iISAd8vBcR4bUj+w2qt2tsgJF7QtR5cYRJRESkA44wqVNL//wVg+sGTtxrxJ4Q3Z9/fH3T4LqTvLsZsSdkKI4wiYiIdNChI8zjx4/jww8/xJkzZ3D16lUkJSXhtddeE8sFQcDq1auRmpoKtVoNNzc3JCQkwMnJSYxpbGzEu+++i3379qGhoQEjR47EunXr0L9/fzFGrVZj8eLFOHjwIADA19cX8fHxsLCwEGNKS0sRERGBnJwcmJqaIjAwELGxsejWjb/siHT12uGvDKq3a9x4I/eEyPg6dIRZX1+PwYMHY/Xq1TAzM2tVnpiYiKSkJKxZswZZWVmQy+WYPHkyamtrxZioqCgcOHAAKSkpyMzMRG1tLYKCgqDRaMSYkJAQFBQUYO/evUhPT0dBQQHmzp0rlms0GgQFBaGurg6ZmZlISUlBRkYGoqOjH+wGICKiR0aHjjDHjx+P8eNv/bKcP3++VpkgCNi0aRMWLVqEiRMnAgA2bdoEpVKJ9PR0BAcHo6amBjt37kRSUhLGjBkDANiyZQtcXFxw9OhReHt7o6ioCEeOHMHBgwfh7u4OAFi/fj38/PxQXFwMpVKJrKwsFBYW4uzZs7CxsQEArFixAgsWLMCyZcvQq1evh7VJiIiok+q0xzBLSkpQXl4OLy8vcZmZmRk8PT2Rm5sLAMjPz0dTU5NWjI2NDVQqlRiTl5eHHj16iMkSADw8PGBubq4Vo1KpxGQJAN7e3mhsbER+fv4DXU8iIno0dNqEWV5eDgCQy+Vay+VyOSoqKgAAFRUVkEqlkMlk7cbIZDJIJBKxXCKRoE+fPloxLT9HJpNBKpWKMURE9PvW6S8ruTPRAbemalsua6llTFvxusS0t/x+FBcXa723NVI7vY3UjqHYzoNtozPqTNvYmO1oUxhcU7s/9p2qHVMDv3k6+75sZ2C924fo2tNpE6ZCcWsnraio0JoqraysFEeDffv2hUajQVVVFfr06aMV4+npKcZUVlZqJUhBEFBVVaXVzu3p2duqqqqg0WhajTyNoeUfpeG0YWcWtmyn4pRx+lPw7f23c6XAsDZatnPmvHHa+fqCcdpBqRHa6IxKzhpUrdV6XfrRSO1UGacdYyj91eCqd/bn3GXDr8O8s53/+cE47ZT+u+G+2+iMGk89uH2n007J2tvbQ6FQIDs7W1zW0NCAkydPiscjXV1d0bVrV62YsrIyFBUViTHDhw9HXV0d8vLyxJi8vDzU19drxRQVFaGsrEyMyc7OhomJCVxdXR/oehIR0aOhQ0eYdXV1uHjxIgCgubkZV65cQUFBASwtLWFra4uwsDCsW7cOSqUSAwcOREJCAszNzREYGAgA6N27N2bMmIGYmBjI5XJYWloiOjoazs7OGD16NABApVJh7NixCA8PR2JiIgRBQHh4OHx8fMRfFF5eXnBycsK8efMQGxuL6upqxMTEYObMmTxDloiIAHRwwvz2228xYcIE8X1cXBzi4uLw6quvYtOmTVi4cCFu3LiByMhI8cYF+/fvR8+ePcU6q1atglQqRXBwsHjjgs2bN0MqlYoxycnJWLJkCQICbt0o2s/PD/Hx8WK5VCpFWloaIiIi4Ovrq3XjAiIievAatv9gUD3T4EFG7snddWjCfOGFF6BWq+9aLpFIEBUVhaioqLvGmJqaYu3atVi7du1dYywtLbF169Z2+2Jra4u0tLR7d5qIiH6XOu0xTCIios6k054lS0R0v2YdMWya729jH940Hz06OMIkIiLSARMmERGRDjglS0REBrux9e4nbrbHLNTi3kGdDBMm0SNs+tfbDar3qXewkXtC9PjjlCwREZEOmDCJiIh0wIRJRESkAyZMIiIiHTBhEhER6YAJk4iISAdMmERERDpgwiQiItIBEyYREZEOmDCJiIh0wIRJRESkAyZMIiIiHTBhEhER6YAJk4iISAd8vFcL27Ztw8aNG1FeXg5HR0fExcXB09Ozo7tFj5lXs+MMqvfZmCgj94SIdMUR5h3279+PpUuX4u2338a//vUvDB8+HK+88gpKS0s7umtERNTBmDDvkJSUhOnTp+ONN96ASqXC2rVroVAo8Le//a2ju0ZERB1MolarhY7uRGdw8+ZN9OvXDykpKZg0aZK4PCIiAufPn0dmZmYH9o6IiDoaR5j/q6qqChqNBnK5XGu5XC5HRUVFB/WKiIg6CybMFiQSidZ7QRBaLSMiot8fJsz/JZPJIJVKW40mKysrW406iYjo94cJ839169YNrq6uyM7O1lqenZ0Nd3f3DuoVERF1FrwO8w5vvvkm5s6dCzc3N7i7u+Nvf/sbrl27huDg4I7uGhERdTCOMO8QEBCAuLg4rF27Fi+88AJOnTqFPXv2wM7OTuc2tm3bhiFDhkChUGDUqFE4ceKE3v04fvw4pk2bBicnJ1hYWGDXrl16t/HBBx9gzJgxsLW1xYABAxAUFITz58/r3U5ycjI8PT1ha2sLW1tbjBs3DocOHdK7nZbWrVsHCwsLREZG6lUvLi4OFhYWWq9BgwYZ1Idr165h3rx5GDBgABQKBdzd3XHs2DG92nBxcWnVHwsLC0ydOlWvdjQaDWJjY8V9Z8iQIYiNjcVvv/2mVzsAUFtbi6VLl+Lpp5+GlZUVxo8fj//85z/t1rnXPicIAuLi4uDo6AgrKyv4+/ujsLBQ73YyMjIQEBCAAQMGwMLCAjk5OXq10dTUhOXLl8PT0xPW1tZQqVQICQlp81rpe/UlNjYWzz33HKytrWFvb4+XX34Zubm5erdzp4ULF8LCwgIffvih3u2EhYW12o/Gjh1rUH8uXLiA119/HXZ2dujXrx9GjhyJoqIivdppa7+2sLBARESEXu3U1dUhMjISgwcPhpWVFZ599lkkJSXpvV4VFRUICwuDo6Mj+vXrhylTpuC///2vVowu33u67sttYcJsISQkBGfPnkVFRQW++eYbjBgxQue6xrrxQX19PQYPHozVq1fDzMxM31UAABw7dgyzZ8/GoUOHkJGRgS5dumDSpEmorq7Wqx1ra2usWLEC33zzDbKzszFy5Ei89tpr+O677wzqFwCcPn0aqampcHZ2Nqi+UqlEUVGR+DLkR4larYaPjw8EQcCePXuQm5uL+Ph4vY9XZ2dna/Xlm2++gUQi0bo0SRcbNmzAtm3bsGbNGuTl5WH16tVITk7GBx98oFc7ALBgwQJkZWVh06ZNOHHiBMaMGYNJkybhp59+umude+1ziYmJSEpKwpo1a5CVlQW5XI7JkyejtrZWr3auX7+O4cOH469//atBfbl+/TrOnDmDiIgIfPPNN/j0009RVlaGwMDAVj8u7tUXpVKJhIQEnDhxAgcPHoS9vT0CAwNbnceg6//Hzz//HP/5z3/Qr18/vdfrttGjR2vtT3v37tW7nUuXLsHHxwf29vbIyMjAyZMn8e6778Lc3Fyvdu7sR1FREXbv3g0Arfbte7UTHR2Nr776Cps3b0Zubi7efvttrFixQmxPl3YEQcBrr72GixcvYteuXfjXv/4FW1tbTJw4EfX19WKcLt97uu7LbeF1mEbk7e0NZ2dnbNy4UVw2bNgwTJw4EcuXLzeozf79+yM+Ph6vvfbaffWtrq4OdnZ22LVrF/z8/O6rrSeffBLLly83aKq6pqYGo0aNQmJiIuLj4zF48GCsXbtW5/pxcXHil8D9WLlyJY4fP26U0fKdEhISsHHjRnz//ffo3r27zvWCgoJgaWmJzZs3i8vmzZuH6upqpKWl6dzOjRs3YGNjgx07dsDf319cPmrUKIwbNw7vvvvuPdtouc8JggBHR0fMmTNHHF3cuHEDSqUS77///l33g/b23aqqKgwYMAAHDhzACy+8oHNf2vL999/Dw8MDx48fv+uPMF3a+fXXX2FnZ4d9+/bB29tbr3YuX74MHx8f/OMf/0BgYCBCQ0Px5z//Wa/1CgsLwy+//KLX37utdkJCQiCRSJCcnHxf7bS0YMECnDhxAv/zP/+jVzt//OMfMWHCBLzzzjvishdffBHOzs53/b/fsp0LFy7g2WefRU5ODlxcXAAAzc3NGDRoEGJiYjBz5sw222n5vWfovnwbR5hGcvPmTeTn58PLy0truZeXV5vTPA9bXV0dmpubYWFhYXAbGo0G+/btQ319PYYPH25QG4sWLcLEiRMxatQog/tx6dIlODk5YciQIZg1axYuXbqkdxtffvkl3NzcEBwcjIEDB+L555/H1q1bIQiG/34UBAE7d+5EUFCQXskSADw8PHDs2DH88MMPAG4lgZycHIwbN06vdn777TdoNBqYmppqLTczMzP4R0ZJSQnKy8u19m0zMzN4enp2in379sjgfvbtmzdvIjU1Fb169RK/kHX122+/ISQkBBEREVCpVAb3AQBOnjyJgQMHws3NDQsWLMDPP/+sV/3m5mYcPHgQKpUKU6ZMwYABAzBmzBjs37//vvpVW1uL/fv344033tC7roeHBw4ePIgrV64AAHJzc/Hdd9/d9UdJWxobGwFAa79+4oknYGJi0u5+3fJ77373ZZ70YySd/cYHS5cuhYuLi0GJ7ty5cxg/fjwaGhpgbm6OTz75xKDp1NTUVFy8eBFbtmzRu+5tzz77LD7++GMolUpUVlZi7dq1GD9+PE6dOoU//OEPOrdz6dIlpKSkYP78+Vi0aBHOnj2LJUuWAABCQ0MN6lt2djZKSkowY8YMvesuWrQIdXV1cHd3h1QqxW+//YaIiAiEhITo1U7Pnj0xfPhwJCQkwMnJCQqFAunp6cjLy4ODg4Pe/QKA8vJyAGhz37569apBbRrLzZs38e6778LX1xf9+/fXu/7Bgwcxe/ZsXL9+HVZWVvj73/+Ovn376tVGXFwcLC0tMXv2bL0//05jx47FhAkTYG9vj8uXLyM2NhYvv/wyjh49ChMTE53a+Pnnn1FXV4cPPvgA77zzDpYvX45//etfmDNnDrp37w5fX1+D+rZv3z40Njbi1Vdf1bvumjVrEB4ejqeffhpdutxKOfHx8Xr1ZdCgQbC1tcXKlSuxceNGmJub4+OPP0ZZWZm4f7al5ffe/e7LTJhG1hlvfPDOO+/g1KlTOHjwIKRSqd71lUolcnJyUFNTg4yMDISFheGLL77A4MGDdW6juLgYK1euxD//+U9069ZN7z7c1nLE9eyzz8LV1RWffvop3nrrLZ3baW5uxjPPPCNOlQ8dOhQXL17Etm3bDE6YqampGDZsGIYMGaJ33f3792P37t3Ytm0bHB0dcfbsWSxduhR2dnZ3nW66my1btuDNN9/E4MGDIZVKMXToUAQGBuLMmTN69+tOnW3f/u233xAaGoqamhp89tlnBrXxwgsvICcnB1VVVUhNTcWf/vQnHD58GFZWVjrVP3bsGD799NM2T17S15QpU8R/Ozs7w9XVFS4uLjh06BBefvllndpobm4GcGvK8/b/hyFDhiA/Px/btm0zOGGmpqbC398fffr00bvuli1bkJubi88++wy2trY4ceIEli1bBjs7uzZPampL165dsXPnTrz11lt46qmnIJVKMXr06HZnYNr73jN0X+aUrJF01hsfREVFYd++fcjIyMCTTz5pUBvdunWDg4ODmGBcXFzw8ccf69VGXl4eqqqq8Mc//hEymQwymQzHjx/Htm3bIJPJxCkXffXo0QOOjo64ePGiXvUUCkWr6bNBgwaJ00b6+vnnn5GZmWnQlBUAxMTE4K233sKUKVPg7OyMadOm4c0338T69ev1buupp55CZmYmysrKcO7cOWRlZaGpqQn29vYG9U2hUABAp9q3f/vtN8yePRvnzp3D559/rtfswp3Mzc3h4OCA5557Dh999BG6du2KHTt26Fw/JycH165dg0qlEvfr0tJSLF++XK8flG3p168frK2t9dq3ZTIZunTpYtR9u6CgAN9++61B+/aNGzewcuVKrFixAn5+fnj66acRGhqKgICANs8kbo+rqyuOHTuGkpISFBUVYd++ffjll1/a3K/v9r13v/syE6aRdMYbHyxZsgTp6enIyMgw+NKLtjQ3N+PmzZt61fH398eJEyeQk5Mjvp555hlMmTIFOTk5Bo86GxoaUFxcLP5H0JWHhwcuXLigtezChQuwtbU1qB+7du2CiYkJAgICDKp//fr1Vr+CpVKpOGIwhLm5OaysrKBWq/H111/jxRdfNKgde3t7KBQKrX27oaEBJ0+e7JB9u6mpCcHBwTh37hwOHDig99++Pfru2yEhITh+/LjWft2vXz/Mnz8fn3/++X31paqqClevXtVr/bp164Zhw4ahuLhYa/n97Nupqamws7PD6NGj9a7b1NSEpqYmo+7bvXv3Rp8+ffDf//4X3377bav9ur3vvfvdlzkla0TGuvFBXV2d+KuyubkZV65cQUFBASwtLXXe6SMiIpCWloZPPvkEFhYW4ty9ubk5evTooXNf3nvvPYwfPx79+/dHXV0d0tPTcezYMezZs0evdbp9DdedunfvDktLS71+id8+XmVjYyMew7x+/brex1bmz5+P8ePHIyEhAQEBASgoKMDWrVuxbNkyvdoBbk3n7NixAwEBAejZs6fe9QHA19cXGzZsgL29PRwdHVFQUICkpCRMmzZN77a+/vprNDc3Q6lU4scff8SyZcugVCrbPQPyXvtcWFgY1q1bB6VSiYEDByIhIQHm5uYIDAzUq53q6mqUlpaipqYGAPDjjz+id+/eUCgUYmJor41+/frhjTfewLfffovPPvsMEolE3Ld79eqldTlCe+307t0bGzduhK+vLxQKBaqqqpCcnIyffvqp1WUT91qnliOTLl26QKFQQKlU6tyOpaUlVq9ejZdffhkKhQKXL1/GypUrIZfL8dJLL+nVnwULFiA4OBienp4YOXIkcnJysH///javj7zX98z169exd+9eLFiw4K5TlvdqZ8SIEVixYgXMzc1ha2uL48ePY/fu3VixYoVe7fzjH//AH/7wB9jZ2eHcuXNYunQp/P39tU7gudf3nkQi0XlfbpNarRb4Mt4rISFBsLW1Fbp16yYMHTpU+PLLL/Vu48CBAwKAVq9XX31V5zbaqg9AWLJkiV59efXVVwUbGxuhW7duQp8+fYRRo0YJ+/btM8q2GjFihDBnzhy96gQEBAhWVlZC165dhX79+gkTJkwQTp06ZdDnp6WlCc7OzoKJiYkwYMAAYfXq1UJ1dbXe7WRkZAgAhK+//trgbVFaWirMmzdPsLGxEUxNTQV7e3vhL3/5i3Dt2jW929q+fbvw5JNPCt26dRMUCoUwZ84coaSk5L72uerqamHJkiWCQqEQTExMBE9PT+HEiRN6t5OUlHTP/bK9Ns6cOXPXfTspKUnnvvz000+Cv7+/YGVlJXTr1k2wsrIS/Pz8hCNHjtz3/0dbW1vh/fff16udq1evCl5eXkKfPn2Erl27CjY2NsKrr74qfPfddwb1JykpSRgwYIBgamoqDB48WNi2bZtB7Xz00UeCVCoVCgsLDd53ioqKhOnTpwv9+vUTTE1NBaVSKbz//vut/q/dq53Vq1cL/fv3F7dPRESEUFFRodWGLt97uu7Lbb14HSYREZEOeAyTiIhIB0yYREREOmDCJCIi0gETJhERkQ6YMImIiHTAhElERKQDJkwi6jBhYWF6Px2EqKMwYRI9RD/99BMiIyPh6uoKhUIBBwcHvPLKKzhy5EhHd+2BOX/+POLi4lBSUtLRXSG6L7xxAdFDcvr0abzyyitoamrC66+/DmdnZ/zyyy/Ys2cPzp8/j7/85S+IiYnp6G4a3b59+zB79uw2Hxbd1NSE5uZmnR9fRdSReC9ZoodArVZj5syZ6NKlCw4fPqx1n9G33noLs2bNwgcffIAhQ4a0upfp46xr164d3QUinXFKlugh+H//7//h6tWrWLFiRaubcnfp0gUbN25Er169EBcXp1UmCAKSk5Px/PPPw8rKCg4ODpg0aRJOnDihFbdv3z6MHTsW1tbWsLOzg6+vL7788kux3MLColXbwK2nyPj7+4vvc3JyYGFhgT179mDVqlVwdHREv379MGnSpFZPwPjuu+8QFhYmTi8PGDAAs2fP1nqM1K5du8QHK0+YMEG8Cf/tG4G3dQyzubkZGzZsgJubG/r27QsnJydERkaKN2y/s+/PPfcc/vvf/2LKlCmwtraGUqnEihUr7uspL0R3wxEm0UPwz3/+EyYmJloPCb6ThYUFXnzxRezevRs//vgjnnrqKQDAwoULsWPHDowePRrTp0+HIAjIy8vDyZMn4enpCQBISEhAbGwshg0bhsWLF8PMzAz5+fnIysrSSob62LBhA5qbm/HWW29BrVZjy5YtmDBhAk6cOCE+ezI7OxvFxcWYOnUq+vfvj4sXL2L79u34z3/+gxMnTsDMzAwjRozAnDlzkJycjLffflt83FJ7j1J6++23sX37dvj5+WHevHkoLCxESkoK/v3vf+PQoUNao9Jff/0VEydOhK+vL/z9/XHkyBGsX78e9vb2+NOf/mTQuhPdDRMm0UPw/fffY+DAgTA1Nb1rjIuLC3bv3o3vv/8eTz31FHJycrBjxw688cYbSExMFOPefPNNCMKtUw9+/PFHrFq1CuPGjcNnn32GLl3+77/07RhD/Pzzzzh9+rT4SLYXXngBEydOxEcffSQeZ509ezb+/Oc/a9Xz9fWFn58fDhw4gKlTp+LJJ5+Eh4cHkpOTMXr06FbHMFs6f/48tm/fjqlTp2Lr1q3icqVSiaioKHz22WeYOXOmuLy8vBwbN24Ul82aNQvPP/88UlNTmTDJ6DglS/QQ1NXVoVevXu3G3H6WZm1tLQAgIyMDwK1ngLZ0+9mEX3zxBZqbm7F06VKtZHlnjCGmTZum9fzSUaNGwcnJCV999ZW4rHv37uK/6+rq8Msvv2DQoEHo3bs38vPzDfrcQ4cOAQAWLFigtXzWrFno1auXWH6bqalpq+d8jhgxApcuXTLo84nawxEm0UPQo0cP/Prrr+3G3E6Utx/w/eOPP0Iul7d6QPGdfvzxRwDQ6yHcuhgwYECby3JycsT3arUa7733Hj7//HNUV1drxbY83qiry5cvQyKRtDrOa2JiAnt7e1y+fFlrubW1NaRSqdYyCwuLVv0hMgYmTKKHQKVS4cyZM2hoaLjrtOx3330HAHBycgJwa0r1XqNEXWLa09zcjCeeaD3R1FabLad4Z82ahRMnTuCtt97CkCFD0LNnT0gkEsyaNeuBnHTT1rq2TJZEDxKnZIkeAl9fXzQ2NmL//v1tltfU1CAzMxMqlUo84cfBwQEVFRX4+eef79qug4MDBEFAYWFhu59vYWHR5qiv5YjttgsXLrRadvHiRdja2gK4NbrMysrCokWL8O677+Lll1/GmDFj4OHhAbVarVVPn4RuZ2cHQRBanZF78+ZNXL58GXZ2djq3RWRsTJhED8GsWbOgUCjw3nvv4b///a9WmUajwaJFi1BTU4OlS5eKy19++WUAwKpVq1q1d3u099JLL+GJJ57AmjVroNFo2owBbiXWY8eOaZV/+eWXKCsra7O/u3fv1kp833zzDQoLCzFu3DgAEEelLUedH3/8cavR5e1jnS0TaVvGjx8PAEhKStJavn37dvz666/w8fG5ZxtEDwqnZIkeAgsLC+zYtXUMmgAAAi1JREFUsQOvvPIKRo0ahddffx2DBw9GdXU19uzZg3PnziE8PByTJ08W67zwwguYPn06tm/fjkuXLonJ5PTp03B2dsbbb7+Np556CosXL8bq1avh4+ODl19+GWZmZjhz5gxMTU2RkJAAAPjTn/6EBQsWYPr06Rg3bhx++OEHpKeni6PZluRyOXx9ffH666+jpqYGmzdvRt++ffHWW28BAHr16oXnn38eGzduRFNTE2xtbXHy5Emty05uGzp0KJ544gmsX78eNTU1MDMzg5ubG5588slWn+vs7Izg4GAxQY4ZMwaFhYXYvn07hg0bhldffdUYfw4igzBhEj0k7u7uOHHiBDZs2IDMzEz87W9/g7m5OYYNG4b33ntPHL3d6aOPPoKzszN27tyJ5cuXo0ePHhg6dChGjBghxixduhT29vbYsmULVq1aBRMTEzg5OWmdafr666/j8uXL2LFjB7KysvDMM89g7969iI6ObrOvixYtQnFxMT766COo1Wq4u7sjPj4eMplMjNm2bRuWLl2K7du347fffoOnpycyMjIwceJErbb69euHDRs2YMOGDVi4cCE0Gg2SkpLaTJgAsG7dOtjb22PHjh346quvIJPJMHv2bLz77ru8MxB1KN5LlohEOTk5mDBhAlJSUu56kwWi3ysewyQiItIBEyYR/f/27IAGAAAAQVj/1lQgwF+COYFBMAFg8GECwGBhAsAgmAAwCCYADIIJAINgAsAgmAAwBCxxXTg05b1cAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(df['Occupation'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22ab67a56d0>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(df['Product_Category_1'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22ab73a31c0>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(df['Product_Category_2'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22ab6f14be0>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(df['Product_Category_3'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22ab6f8fc70>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(df['City_Category'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22ab722b580>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(df['Stay_In_Current_City_Years'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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VK6ajR48qOjo6VzC0VM7r5ddXzud5e1858luqPueH67ymJ94pMzNTnTt31sGDB1WrVi1169ZNZcuWNX5QnTJlSr7vMa/Xzznu9tfO6T3nM75TQacg3qlp06batGlToY4tqLx6y7lWK1asaNG58vq88vuuwsLCtHHjRlWpUkUdOnSQt7e3ca/d3Llzc30nixYt0pw5c7Rq1SpNnTpV0q2VLNu2bauJEyeqcuXKkqTLly9LktavX5/nIjI50tLSCvSeli5dquzsbPXs2TPXL4xefPFFjR8/Xp9++qnefffdXMfe7fq9PfRK0oYNG/Tyyy/LxcVFLVq0UJUqVVSqVCkVK1ZMu3fv1p49ewr0b7FYsWJ69dVXNXbsWK1atUphYWE6fvy49u3bp2bNmsnf39+oLV26tL755htNmTJF0dHR2rlzpyQZ9xePHj06z9E+ax0PwPYRBAE8sho1aqRdu3Zpx44dxhS2/OT8kNOoUSNjm5ubm5KTk3Xt2rV7hkE3NzdJ0u+//17gKVf5BZ2cH9Tzkt9qjn/88Yck8x9Op0+frhs3bmjDhg25pi++//77ea5uaKmc18uvr5zpuUX1fLLo6GgdPHhQPXv21Ny5c832Xbx4Mde9TYWR03vOZ3yn/N67tdzternbtSLlPRqec63e72hwfg4fPqyNGzeqefPmWr16tYoXL27sy87O1gcffJDrGBcXF4WHhys8PFwXLlzQvn379OWXX2rDhg06fvy49u7dq+LFixvfxdKlS80WkCmMmzdv6rPPPpN06xcG+V0rn3/+ucaOHZvvojEFMWnSJJUoUUI7duxQQECA2b4hQ4Zoz549BT5Xr169NGnSJC1atEhhYWHGaOArr7ySq7ZChQqaNWuWZs6cqZMnT2rPnj1atGiRoqKilJqaqg8//PCur3W/xwOwbdwjCOCR9dJLL8nJyUmbNm3STz/9lG/dN998o0OHDsnDw0NdunQxtj/zzDPG/nvJqd22bds9a3OCYl4jlTdv3sw1vfN258+fz/MxAjk/SN5+P9jp06fl4eGR5z1s+f3gWaxYsVyjGXdTo0YNlSpVSj///LPZoh45cpbzz2taoTXkTAXMKxRY8sP13eR8pgcOHNDNmzeL7HXyc7fr5fDhwxafL+dajYmJKdCoq6VyvpP27dubhUBJOnjwYJ6P9LhdhQoV1K1bN61cuVINGzZUfHy8Tpw4Ydb7vn377rvPzZs36+LFi3riiSfUu3fvPP8LCAhQcnJyno9BscTp06cVEBCQKwRmZ2cbi1oVVM6CMEePHtWuXbu0cuVKeXt75/lYlxwODg4KCAjQK6+8os2bN8vZ2VkbN24s8Gve7/EAbBNBEMAjq0qVKho+fLgyMzPVo0cP/fe//81Vs3v3bvXr10/SrVGB2+9JGjBggCRp3Lhx+u2333Ide/vz01599VUVL15cM2bMyPP5WrfXli5dWjVr1tSBAwfMAqrJZNLkyZPvOpU1KytL77zzjllY+/XXX7VgwQIVL15cL7zwgrHdz8/PeHzF7ZYuXapvv/02z/N7enoqKSnpnj+s5yhevLhCQ0P1559/avz48bnuzZs5c6YcHBwKvAKopXJWSL3zHr0zZ87o7bfftspr+Pj4qEWLFjp37lyuUcetW7cW6v5AS+SEn08//dTs8815Tqal6tevr8aNG+vnn3/O8/jr16/fc6TxbnK+k927d5tt/+OPPzR8+PBc9UlJScZ9i7fLyMgw+shZAKV9+/aqWrWqFi9enO+I9o8//mhMIb2bnEViRo4cqTlz5uT5X841dLdFYwrCz89Pp0+f1u+//25sy/n3nvO8SEu89tprxv9NTU1V7969c4Xun3/+WWfOnMl17OXLl5WZmWl8pvm53+MB2D6mhgJ4pI0cOVLp6emaNWuWmjdvrqCgINWuXVvZ2dk6fPiw9uzZIycnJ02bNk3/+Mc/zI4NCgrSqFGjNHnyZDVq1Mh4jmBSUpIOHTqkMmXKGPd4BQQE6P3339eQIUPUokULhYSEKCAgQKmpqfrpp5/0+++/m430DR06VP3791e7du303HPPqVSpUjpw4IASEhL07LPP5vohOkft2rV18OBBBQUFqWXLlsazy65evar33nvPuJdKuvVQ8W+//dZ4jTJlyujw4cPav3+/unTpkufKii1atNCXX36p559/Xk2aNJGzs7P+9re/qV27dvl+xm+//bb27dunpUuXKi4uTkFBQcYjAa5cuaIRI0bkuWiJNbRt21ZVq1bVRx99pGPHjqlu3bo6f/68tm7dqjZt2ljtsR3Tp09X69atNXbsWH333XeqW7euzpw5o/Xr16tt27ZWf7D87dq1a6eAgACtWbNGCQkJatiwoS5evKjNmzcrJCREX331lcXnnDdvnjp27KipU6cqOjpazZo1k6Ojo86ePauYmBitWLGi0KuhPvXUU2rUqJE2bNigNm3aqFGjRrp06ZK2b98uf39/VahQwaz+999/V+vWreXv76/69evLx8dHaWlpiomJ0alTp9SpUydVr15d0q1fPHz22Wfq1q2bXnzxRT399NOqV6+eXF1dlZCQoLi4OMXHx+v777/X448/nm+PZ8+e1Y4dO+Tm5qbnnnsu37qQkBBVrFhRu3fv1i+//GL0YalBgwZp6NChat68uTp37iwnJycdOHBAJ06cKNT1U79+fTVo0EAHDx5UsWLF8pz6vnPnTo0ePVrPPPOMatSooXLlyikxMVHR0dHKzs42ezxKXu73eAC2jyAI4JHm4OCgd955R88995zmz5+vPXv2aO/evXJwcJCPj49ee+01DRgwIM9VASVp1KhRatiwoebNm6eYmBhdu3ZNZcuWVe3atXM9tLp3796qVauW5syZo71792rbtm3y8PCQv79/rmXmQ0NDZTKZ9MEHH2jlypV67LHH1LJlSy1btkzvvfdevu/H3d1dq1ev1ttvv61ly5bp+vXrqlmzpt58881cz8pr1aqVVq5cqenTp2vt2rUqVqyYGjRooA0bNujMmTN5BsHJkyerWLFi2rFjhw4cOKCsrCz17NnzrkHQ3d1dW7du1ezZs7V+/Xp99NFHcnZ2Vt26ddW/f//7vpfrblxdXbV+/XqNHz9eu3fv1r59+1SlShWFh4fr9ddf15o1a6zyOtWqVdP27dv1zjvvaOfOndq7d69q166t5cuXKykpqUiDoLOzs9atW6dx48bpm2++0ZEjR1StWjVNmjRJzZs3L1QQ9PPz03fffacPP/xQGzdu1KJFi1S8eHH5+Piod+/e9/UMQ0dHR61YsUITJ07Utm3bNG/ePFWoUEF9+vTR8OHDFRgYmKuXt956S7t27dKePXuUlJQkNzc3Va1aVYMHD8718PRatWppz549mjt3rqKjo7VixQqZTCZ5e3urZs2aeuONN8wWTclLziIxoaGhdx3ZcnR01Isvvqjp06fr008/1cSJEwv1mYSFhalEiRKaO3euVqxYIRcXFzVu3FhRUVFav359oa6fXr166eDBg2rdunWeq40GBwfr/Pnz2rdvn7Zs2aKrV6+qXLlyatiwoQYMGKAWLVrc9fz3ezwA2+eQkpJiuncZAOBhOnv2rOrVq/dAVpoEYPsGDx6sJUuW6Msvvyzyx9YAeDRxjyAAAMBfSEJCgr744gtVrVpVrVq1etjtAPiLYmooAADAX8DKlSv1yy+/6Ouvv1Z6erpGjx5tPF4EACxFEAQAAPgLWLZsmfbu3SsfHx9NnDgx133BAGAJ7hEEAAAAADvDfAIAAAAAsDMEQQAAAACwMwRBAAAAALAzBMGHLD4+/mG3kC96Kxx6s5yt9iXRW2HZam+22pdEb4VFb5az1b4keissW+3NVvuS6E0iCAIAAACA3SEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnXF62A0AAAAAeDhu3ryptLS0Ijm3i4uLUlNTi+Tc9+tR6c3JyUmurq6Fep2HGgT37NmjOXPm6Mcff9SFCxcUFRWll156ydhvMpk0efJkLVmyRCkpKWrQoIGmT5+uJ5980qjJyMjQmDFj9NVXXyk9PV3NmjXTjBkz5OPjY9SkpKRoxIgR2rJliySpbdu2mjp1qtzd3Y2ac+fOafjw4dq1a5dcXFzUvXt3TZw4USVKlHgAnwQAAADwYN28eVPXrl2Tu7u7HBwcrH5+Z2dnubi4WP281vCo9JaWlqaMjAw5Oztb/DoPdWpoWlqaatWqpcmTJ6tkyZK59s+ePVtRUVGaMmWKYmJi5OXlpa5du+ratWtGTUREhDZs2KCFCxcqOjpa165dU2hoqLKysoyavn37Ki4uTqtWrdLq1asVFxen/v37G/uzsrIUGhqq69evKzo6WgsXLtT69es1evToov0AAAAAgIckLS2tyEIgHoxSpUopPT29UMc+1BHBNm3aqE2bNpKkQYMGme0zmUyaO3euhgwZoi5dukiS5s6dK39/f61evVphYWFKTU3VsmXLFBUVpRYtWkiS5s2bpzp16mjnzp0KDg7WiRMntH37dm3ZskWBgYGSpJkzZ6pdu3aKj4+Xv7+/YmJidOzYMR09elS+vr6SpPHjx+vNN9/U2LFjVaZMmQf1kQAAAAAPDCHwr+1+vj+bXSzm7NmzSkxMVMuWLY1tJUuWVJMmTXTgwAFJ0pEjR5SZmWlW4+vrq4CAAKMmNjZWjz32mBECJalRo0ZydXU1qwkICDBCoCQFBwcrIyNDR44cKdL3CQAAAAAPms0uFpOYmChJ8vLyMtvu5eWlCxcuSJIuXbokR0dHeXp65qq5dOmSUePp6WmWlh0cHFS2bFmzmjtfx9PTU46OjkZNXuLj4wv57ormPEWB3gqH3ixnq31J9FZYttqbrfYl0Vth0ZvlbLUvid4KqzC9ubi4FOreMksUdtrig/Co9Hb16tU8M4u/v/9dj7PZIJjjzuFOk8l0zyHQO2vyqi9Izd22S/f+cAsiZ3qqLaK3wqE3y9lqXxK9FZat9marfUn0Vlj0Zjlb7Uuit8IqbG+pqalFumBKenq6zS7IYmlvy5cv14gRI5SQkFCEXd1iaW9lypRRpUqVLH4dmw2C3t7ekm6N1t0+ZTMpKckYvStXrpyysrKUnJyssmXLmtU0adLEqElKSjILfiaTScnJyWbnyZkmmiM5OVlZWVm5RgoBAACAR5n74qIPO7dLCfO5d9FtBg4cqBUrVki69fgEHx8fderUSREREYV+lII9stl7BCtXrixvb2/t2LHD2Jaenq59+/YZ9/vVr19fxYsXN6tJSEjQiRMnjJqGDRvq+vXrio2NNWpiY2OVlpZmVnPixAmzhL9jxw45Ozurfv36Rfo+AQAAAFgmKChIJ06c0JEjRzRmzBgtXLhQY8eOLdS5bt68KZPJZOUObd9DDYLXr19XXFyc4uLilJ2drfPnzysuLk7nzp2Tg4ODBg4cqFmzZmn9+vX6+eefNWjQILm6uqp79+6SJDc3N/Xu3Vvjxo3Tzp079eOPP6p///6qXbu2goKCJEkBAQFq1aqVhg4dqh9++EGxsbEaOnSoQkJCjCH0li1b6sknn9SAAQP0448/aufOnRo3bpz69OnDiqEAAACAjXF2dpa3t7d8fX31wgsv6IUXXtCmTZsUGRmpxo0bm9UuX77c7BnjkZGRat68uZYvX6769eurXLlySktL09WrVzVs2DAFBATI29tbDRs21Jo1a8zO9d1336lx48aqWLGiOnbsqDNnzhj7fv31V/Xs2VM1atRQxYoV1axZM+M55jnWr1+vJk2aqHz58qpSpYrat29vdn/f5s2b1aZNG3l7e6tu3bp699139b///c+Kn9z/91Cnhh4+fFidOnUy/h4ZGanIyEj17NlTc+fO1eDBg3Xjxg2Fh4cbD5Rfs2aNSpcubRwzadIkOTo6KiwszHig/McffyxHR0ejZv78+Ro5cqS6desmSWrXrp2mTp1q7Hd0dNQXX3yh4cOHq23btmYPlAcAAABg21xcXJSZmVng+t9++02rV6/Wp59+qhIlSsjZ2VkdO3ZUSkqKoqKiVL16dcXHx5st2pKRkaH3339fH374oZydnTVw4EANGzbMCIvXr19X69atNWbMGJUsWVJr1qxR7969tWfPHtWoUUOJiYl69dVXNX7txvcAACAASURBVG7cOHXu3FlpaWn6z3/+Y5z/22+/Vb9+/TRhwgQFBQXp3LlzGjZsmDIyMooklzzUIPh///d/SklJyXe/g4ODIiIiFBERkW+Ni4uLpk2bpmnTpuVb4+HhoU8++eSuvVSqVElffPHFvZsGAAAAYDMOHjyo1atXq3nz5gU+JjMzU/PmzVO5cuUk3botLDY2Vvv371dAQIAkqUqVKmbH3Lx5U9OnTzdmFb7xxht6/fXXlZ2drWLFiqlOnTqqU6eOUT98+HBt2bJF69atU3h4uC5cuKDMzEx16dJFfn5+kqRatWoZ9dOnT9cbb7yhnj17ysXFRU888YTeeecd9e/fX++++67Vn/los4vFAAAAAPas4Iu2lJJ2373W0gVZbN327dvl4+OjmzdvKjMzU+3bt9fUqVO1YMGCAh1foUIFIwRKUlxcnMqXL2+EwLw4Ozubrc5avnx5ZWZmKjU1VR4eHkpLS9OUKVO0detWXbx4UTdv3lR6erpq164tSapTp46CgoLUpEkTtWjRQkFBQerSpYux6OWPP/6oQ4cOadasWUboy87O1o0bN5SYmKjy5ctb/DndDUEQAADYHH4ABnA3TZo00ezZs+Xk5KQKFSqoePHikqRixYrlWvjl5s2buY4vVaqU2d8LsliMk5N5dLo9rEnS2LFjtX37dr377ruqVq2aSpUqpQEDBhj3+Dk6Omrt2rX64YcfFBMTo2XLlmn8+PHatGmT6tSpo+zsbI0cOVLt2rXL9XzH25+QYC0EQQAAABQpawZ7iXCPW0GuatWqubaXLVtWly5dMnt03NGjR+95vnr16unixYs6ceLEXUcF72b//v3q0aOHunTpIunWEw9+/fVXVatWzahxcHBQw4YN1bBhQ40cOVKNGjXS2rVrVadOHdWrV08nT57UoEGDHsjzFwmCAAAAAB4Jzz77rK5cuaIZM2bo+eef165du7Ru3bp7Hte8eXM9/fTT6tOnjyZNmqRq1arp119/VVpamjp27Fig165WrZo2btyo9u3bq3jx4poyZYoyMjKM/T/88IN27typ4OBgeXl5KS4uTgkJCUbwHDFihEJDQ1WhQgW98MILcnJy0rFjx3Tw4EFNmDChcB/IXdjscwQBAAAAwBIBAQF6//339emnn6pp06bauXOnhg0bds/jihUrplWrVikwMFD9+vVTYGCgRo0aZdFKpO+99568vLzUvn17vfDCC3rmmWfMHmVRpkwZHThwQKGhoWrQoIHGjBmj8PBwhYaGSpKCg4P15Zdfau/evQoODlZwcLBmzpwpX19fyz+IAnBISUmxv6cn2pD4+Hizm05tCb0VDr1Zzlb7kuitsGy1N1vtS6K3OxV8KuG9PaxphLb6nf7Vv0/p4Xynf/XPLa/PLDU1VW5ublZ7jTulp6c/kCmOhfEo9VbY75ERQQAAAACwMwRBAAAAALAzBEEAAAAAsDMEQQAAAACwMwRBAAAAALAzBEEAAADATplMPEDgr+x+vj8eKA8AKLCCL2VeStp999qHtaQ/AOAWV1dXpaSkyN3dXQ4ODg+7HRTCn3/+WejHYBAEAQAAHhEF+2XNvX9RI/HLGnvg5OSk0qVL6+rVq0Vy/qtXr6pMmTJFcu779aj05uTkJGdn50K9DkEQAAAAsFNOTk5F9lD5S5cuqVKlSkVy7vtFb9wjCAAAAAB2hxFBALAx1rwPT2J6FwAAyI0gCAAAALvFL99gr5gaCgAAAAB2hiAIAAAAAHaGqaEAihRLmQMAANgegiAAAIAFrHlPGb/gAvCwMDUUAAAAAOwMI4IA7BKrxAEAAHvGiCAAAAAA2BlGBIFHAPerACgMRsYBwH4RBIECImwBAADcwqrgf31MDQUAAAAAO8OIYBHiNyUAAAAAbBEjggAAAABgZwiCAAAAAGBnCIIAAAAAYGcIggAAAABgZwiCAAAAAGBnCIIAAAAAYGd4fISdstVHW1jzoe0Sj90AYBts9X9zAQD2ixFBAAAAALAzBEEAAAAAsDMEQQAAAACwM9wjCAAAAABFzNbWwmBEEAAAAADsDEEQAAAAAOwMQRAAAAAA7AxBEAAAAADsDIvFAAAAAHhkFGxRlgezIIstY0QQAAAAAOwMQRAAAAAA7AxTQwEAjwSmAgEAUHCMCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdsekgmJWVpYkTJ6pu3bry9vZW3bp1NXHiRN28edOoMZlMioyMVM2aNVW+fHl16NBBx44dMztPRkaGwsPDVbVqVVWsWFE9evRQQkKCWU1KSor69esnPz8/+fn5qV+/fkpJSXkg7xMAAAAAHiSbDoKzZs3SggULNGXKFMXGxmry5MmaP3++3n//faNm9uzZioqK0pQpUxQTEyMvLy917dpV165dM2oiIiK0YcMGLVy4UNHR0bp27ZpCQ0OVlZVl1PTt21dxcXFatWqVVq9erbi4OPXv3/+Bvl8AAAAAeBCcHnYDdxMbG6u2bduqXbt2kqTKlSurXbt2OnjwoKRbo4Fz587VkCFD1KVLF0nS3Llz5e/vr9WrVyssLEypqalatmyZoqKi1KJFC0nSvHnzVKdOHe3cuVPBwcE6ceKEtm/fri1btigwMFCSNHPmTLVr107x8fHy9/d/CO8eAAAAAIqGTY8INmrUSLt379bJkyclScePH9euXbvUunVrSdLZs2eVmJioli1bGseULFlSTZo00YEDByRJR44cUWZmplmNr6+vAgICjJrY2Fg99thjRgjMeW1XV1ejBgAAAAAeFTY9IjhkyBBdv35dgYGBcnR01M2bNzV8+HD17dtXkpSYmChJ8vLyMjvOy8tLFy5ckCRdunRJjo6O8vT0zFVz6dIlo8bT01MODg7GfgcHB5UtW9aoAQAAAIBHhU0HwTVr1mjlypVasGCBatasqaNHj2rUqFHy8/NTnz59jLrbA5x0a8rondvudGdNXvX3Ok98fPw93kGpe+wvuHu/lqVstTfr9SXZbm/2831KttubfVxrku32Zj/XmmS7vXGtFQ69Wc4+rjXJdnuzn2tNst3eHuy1dq/b22w6CI4bN07/+te/9Pzzz0uSateurXPnzmnmzJnq06ePvL29Jd0a0fP19TWOS0pKMkYJy5Urp6ysLCUnJ6ts2bJmNU2aNDFqkpKSzIKfyWRScnJyrtHG293z3sHdCXffbwGr36doq71ZsS/Jdnuzm+9Tst3e7ORak2y3N7u51iTb7Y1rrXDozXJ2cq1Jttub3Vxrku32ZmPXmk3fI/jnn3/K0dHRbJujo6Oys7Ml3Vo8xtvbWzt27DD2p6ena9++fcb9fvXr11fx4sXNahISEnTixAmjpmHDhrp+/bpiY2ONmtjYWKWlpZndNwgAAAAAjwKbHhFs27atZs2apcqVK6tmzZqKi4tTVFSUevToIenWdM6BAwdqxowZ8vf3V/Xq1TV9+nS5urqqe/fukiQ3Nzf17t1b48aNk5eXlzw8PDR69GjVrl1bQUFBkqSAgAC1atVKQ4cO1ezZs2UymTR06FCFhISwYigAAACAR45NB8GpU6fqvffe07///W8lJSXJ29tbL7/8skaMGGHUDB48WDdu3FB4eLhSUlLUoEEDrVmzRqVLlzZqJk2aJEdHR4WFhSk9PV3NmjXTxx9/bDbaOH/+fI0cOVLdunWTJLVr105Tp059cG8WAAAAAB4Qmw6CpUuX1uTJkzV58uR8axwcHBQREaGIiIh8a1xcXDRt2jRNmzYt3xoPDw998skn99UvAAAAAPwV2PQ9ggAAAAAA6yMIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdIQgCAAAAgJ0hCAIAAACAnSEIAgAAAICdsfkgePHiRQ0YMEDVqlWTt7e3AgMDtXv3bmO/yWRSZGSkatasqfLly6tDhw46duyY2TkyMjIUHh6uqlWrqmLFiurRo4cSEhLMalJSUtSvXz/5+fnJz89P/fr1U0pKygN5jwAAAADwINl0EExJSVFISIhMJpO+/PJLHThwQFOnTpWXl5dRM3v2bEVFRWnKlCmKiYmRl5eXunbtqmvXrhk1ERER2rBhgxYuXKjo6Ghdu3ZNoaGhysrKMmr69u2ruLg4rVq1SqtXr1ZcXJz69+//QN8vAAAAADwITg+7gbv54IMPVL58ec2bN8/YVqVKFePPJpNJc+fO1ZAhQ9SlSxdJ0ty5c+Xv76/Vq1crLCxMqampWrZsmaKiotSiRQtJ0rx581SnTh3t3LlTwcHBOnHihLZv364tW7YoMDBQkjRz5ky1a9dO8fHx8vf3f3BvGgAAAACKWKFHBG/cuKG9e/dq3bp1SkpKsmZPhk2bNqlBgwYKCwtT9erV9eyzz+qTTz6RyWSSJJ09e1aJiYlq2bKlcUzJkiXVpEkTHThwQJJ05MgRZWZmmtX4+voqICDAqImNjdVjjz1mhEBJatSokVxdXY0aAAAAAHhUFCoIfvzxxwoICFDHjh0VFhamn376SZKUnJwsPz8/LV261CrNnTlzRgsXLlSVKlX01VdfacCAARo/frzmz58vSUpMTJQks6miOX+/dOmSJOnSpUtydHSUp6fnXWs8PT3l4OBg7HdwcFDZsmWNGgAAAAB4VFg8NXT58uWKiIhQ165dFRwcrH/961/GPk9PT7Vo0UJr165Vnz597ru57Oxs/f3vf9fbb78tSapXr55Onz6tBQsWqF+/fkbd7QFOujVl9M5td7qzJq/6e50nPj7+Hu+g1D32F9y9X8tSttqb9fqSbLc3+/k+JdvtzT6uNcl2e7Ofa02y3d641gqH3ixnH9eaZLu92c+1Jtlubw/2WrvX7W0WB8GoqCiFhIRo0aJFunz5cq799evXN0bs7pe3t7cCAgLMttWoUUPnz5839ku3RvR8fX2NmqSkJGOUsFy5csrKylJycrLKli1rVtOkSROjJikpySz4mUwmJScn5xptvN097x3cnXD3/Raw+n2KttqbFfuSbLc3u/k+JdvtzU6uNcl2e7Oba02y3d641gqH3ixnJ9eaZLu92c21JtlubzZ2rVk8NfTUqVMKCQnJd7+np6eSk5Pvq6kcjRo10i+//GK27ZdfflGlSpUkSZUrV5a3t7d27Nhh7E9PT9e+ffuM+/3q16+v4sWLm9UkJCToxIkTRk3Dhg11/fp1xcbGGjWxsbFKS0szu28QAAAAAB4FFo8Ili5dWqmpqfnuP3XqlNnI2/0YNGiQ2rRpo+nTp6tbt26Ki4vTJ598orFjx0q6NZ1z4MCBmjFjhvz9/VW9enVNnz5drq6u6t69uyTJzc1NvXv31rhx4+Tl5SUPDw+NHj1atWvXVlBQkCQpICBArVq10tChQzV79myZTCYNHTpUISEhrBgKAAAA4JFjcRBs1qyZli9froEDB+bal5CQoCVLlhiPcrhfTz31lJYvX64JEyZo2rRp8vX11VtvvaW+ffsaNYMHD9aNGzcUHh6ulJQUNWjQQGvWrFHp0qWNmkmTJsnR0VFhYWFKT09Xs2bN9PHHH8vR0dGomT9/vkaOHKlu3bpJktq1a6epU6da5X0AAAAAgC2xOAiOGTNGwcHBCgoK0nPPPScHBwd988032rFjhz799FMVL15cI0aMsFqDISEhd52K6uDgoIiICEVERORb4+LiomnTpmnatGn51nh4eOiTTz65r14BAAAA4K/A4nsEq1atqi1btqh8+fKaMmWKTCaToqKiNHv2bNWrV09btmyRj49PUfQKAAAAALACi0cEpVv31K1du1YpKSk6ffq0srOzVaVKFavdGwgAAAAAKDqFCoI53N3d9dRTT0m69biFtLQ0ubq6WqUxAAAAAEDRsHhq6Pr1640HvOeYNWuWKlasqEqVKqlnz576888/rdYgAAAAAMC6LA6CUVFR+uOPP4y/Hz58WBMmTFCDBg30z3/+U9u3b9fs2bOt2iQAAAAAwHosnhr6yy+/qGvXrsbfV69erccff1xfffWVnJ2d5eTkpDVr1tx1FU8AAAAAwMNj8Yjgn3/+qVKlShl/j4mJUXBwsJydnSVJderUUUJCgvU6BAAAAABYlcVB0MfHR4cPH5YknTp1SsePH1fLli2N/ZcvX5aLi4v1OgQAAAAAWJXFU0NDQ0MVGRmpCxcu6Pjx43J3d1fbtm2N/YcOHVL16tWt2iQAAAAAwHosDoLDhg1TRkaGtm3bJh8fH3344Ydyc3OTJF25ckV79+7VoEGDrN4oAAAAAMA6LA6Cjo6OGjNmjMaMGZNrn4eHh+Lj463SGAAAAACgaFh8jyAAAAAA4K/N4hFBScrIyNCGDRt05MgRpaamKjs722y/g4ODPvzwQ6s0CAAAAACwLouDYEJCgjp37qzTp0/Lzc1NV69elYeHh1JSUpSdnS1PT0+5uroWRa8AAAAAACuweGro22+/rT/++ENbtmzRwYMHZTKZtGjRIv3+++8aO3asSpYsqXXr1hVFrwAAAAAAK7A4CO7cuVOvvvqqAgMDVazY/z/c2dlZw4YNU5MmTRQREWHVJgEAAAAA1mNxELx+/bqeeOIJSVKJEiUkSdeuXTP2N27cWHv27LFSewAAAAAAa7M4CFaoUEG///67JMnV1VUeHh46evSosf/cuXMqXry49ToEAAAAAFiVxYvFNG7cWDExMRo1apQkqXPnzpozZ46cnJyUnZ2tjz/+WCEhIVZvFAAAAABgHRYHwddff107duxQenq6XFxc9M477+i3337TpEmTJEnPPvusJk+ebPVGAQAAAADWYXEQrF27tmrXrm383d3dXWvWrFFqaqqKFSum0qVLW7VBAAAAAIB1FeqB8nlxc3Oz1qkAAAAAAEWoUEEwKytLMTExOnPmjK5cuSKTyWS238HBQSNGjLBKgwAAAAAA67I4CMbFxalXr146f/58rgCYgyAIAAAAALbL4iA4fPhwXb9+XcuWLVPTpk3l7u5eFH0BAAAAAIpIoUYEIyIi1KFDh6LoBwAAAABQxCx+oHy5cuXk5GS1NWYAAAAAAA+YxUGwX79+WrlypTIzM4uiHwAAAABAEbvn0N7atWvN/l6xYkU5OTmpcePG6tWrl3x9feXo6JjruK5du1qvSwAAAACA1dwzCL7yyitycHDIc4XQ8ePH53mMg4MDQRAAAAAAbNQ9g+CGDRseRB8AAAAAgAfknkHw2WeffRB9AAAAAAAeEIsXi7l48aL27t2b7/69e/cqMTHxvpoCAAAAABQdi58DMXbsWJ0/f16bN2/Oc/97770nX19fzZs3776bAwAAAABYn8Ujgnv27FHr1q3z3d+qVSvt2bPnvpoCAAAAABQdi4NgcnKyPDw88t3v7u6uP/74476aAgAAAAAUHYuDYIUKFXT48OF89x86dEheXl731RQAAAAAoOhYHAQ7deqkzz//XF999VWufWvXrtWKFSvUqVMnqzQHAAAAALA+ixeLCQ8P144dO/Taa69pxowZevLJJ+Xg4KCff/5Zx48fV82aNTVq1Kii6BUAAAAAYAUWjwiWKVNG27ZtU3h4uCQpOjpamzZtkiSNGDFC27dvl5ubm3W7BAAAAABYjUUjghkZGVqzZo1q1KihiIgIRUREFFVfAAAAAIAiYtGIoLOzswYPHqyjR48WVT8AAAAAgCJm8dRQf39/JSYmFkUvAAAAAIAHwOIgOGLECM2fP18//fRTUfQDAAAAAChiFq8a+v3338vLy0vNmjVTw4YN9cQTT6hkyZJmNQ4ODpo+fbrVmgQAAAAAWI/FQXDRokXGn/fv36/9+/fnqiEIAgAAAIDtsjgIXrlypSj6AAAAAAA8IBbfIwgAAAAA+GsjCAIAAACAnbF4aqiHh4ccHBzuWXf58uVCNQQAAAAAKFoWB8ERI0bkCoJZWVk6e/asNm/erOrVqyskJMRqDQIAAAAArMviIBgREZHvvt9//12tWrVSjRo17qspAAAAAEDRseo9ghUrVlRYWJimTp1qzdMCAAAAAKzI6ovFuLu769dff7X2aQEAAAAAVmLVIJiUlKQlS5bIz8/PmqcFAAAAAFiRxfcIdurUKc/tqampOnnypDIzM7Vo0aL7bgwAAAAAUDQsDoImkynXNgcHB1WuXFktWrRQnz59VK1aNas0BwAAAACwvgIHwYyMDEVHRys4OFiPP/64QkJCVL58+aLsDQAAAABQBAoUBBMTE9W+fXuzRWBKlSqlL774Qk2bNi2y5gAAAAAA1legxWImTpyoM2fOaNCgQVq5cqUmTZokZ2dnjRgxoqj7AwAAAABYWYFGBGNiYtSzZ09NnDjR2FauXDn17dtXCQkJ8vHxKbIGAQAAAADWVaARwcTERAUGBppta9SokUwmk86fP18kjQEAAAAAikaBgmBWVpZcXFzMtuX8PT093fpdAQAAAACKTIFXDT1z5owOHjxo/P3q1auSpPj4eD322GO56hs0aGCF9gAAAAAA1lbgIBgZGanIyMhc2+9cMMZkMsnBwUGXL1++/+4AAAAAAFZXoCAYFRVV1H0AAAAAAB6QAgXBF198saj7AAAAAAA8IAVaLAYAAAAA8OggCAIAAACAnflLBcEZM2bI3d1d4eHhxjaTyaTIyEjVrFlT5cuXV4cOHXTs2DGz4zIyMhQeHq6qVauqYsWK6tGjhxISEsxqUlJS1K9fP/n5+cnPz0/9+vVTSkrKA3lfAAAAAPAg/WWC4A8//KAlS5aodu3aZttnz56tqKgoTZkyRTExMfLy8lLXrl117do1oyYiIkIbNmzQwoULFR0drWvXrik0NFRZWVlGTd++fRUXF6dVq1Zp9erViouLU//+/R/Y+wMAAACAB+UvEQRTU1P12muvac6cOXJ3dze2m0wmzZ07V0OGDFGXLl1Uq1YtzZ07V9evX9fq1auNY5ctW6YJEyaoRYsWql+/vubNm6effvpJO3fulCSdOHFC27dv16xZsxQYGKiGDRtq5syZ2rp1q+Lj4x/GWwYAAACAIvOXCII5Qa958+Zm28+ePavExES1bNnS2FayZEk1adJEBw4ckCQdOXJEmZmZZjW+vr4KCAgwamJjY/XYY48pMDDQqGnUqJFcXV2NGgAAAAB4VBT4gfIPy5IlS3T69GnNmzcv177ExERJkpeXl9l2Ly8vXbhwQZJ06dIlOTo6ytPTM1fNpUuXjBpPT085ODgY+x0cHFS2bFmjJi/3Hi0sdY/9BWf9kUlb7c16fUm225v9fJ+S7fZmH9eaZLu92c+1Jtlub1xrhUNvlrOPa02y3d7s51qTbLe3B3ut+fv733W/TQfB+Ph4TZgwQZs3b1aJEiXyrbs9wEm3pozeue1Od9bkVX+v89zrw9XuhLvvt8A9X8tSttqbFfuSbLc3u/k+JdvtzU6uNcl2e7Oba02y3d641gqH3ixnJ9eaZLu92c21JtlubzZ2rdn01NDY2FglJyercePG8vT0lKenp/bs2aMFCxbI09NTjz/+uCTlGrVLSkoyRgnLlSunrKwsJScn37UmKSlJJpPJ2G8ymZScnJxrtBEAAAAA/upsOgh26NBBe/fu1a5du4z//v73v+v555/Xrl27VL16dXl7e2vHjh3GMenp6dq3b59xv1/9+vVVvHhxs5qEhASdOHHCqGnYsKGuX7+u2NhYoyY2NlZpaWlm9w0CAAAAwKPApqeGuru7m60SKkmlSpWSh4eHatWqJUkaOHCgZsyYIX9/f1WvXl3Tp0+Xq6urunfvLklyc3NT7969NW7cOHl5ecnDw0OjR49W7dq1FRQUJEkKCAhQq1atNHToUM2ePVsmk0lDhw5VSEiI9YeqAQAAAOAhs+kgWBCDBw/WjRs3FB4erpSUFDVo0EBr1qxR6dKljZpJkybJ0dFRYWFhSk9PV7Nmzf5fe3cfX3P9+H/8ubZyMRdn1hzDNsZsrCGEXIQK0zIyRZFiqEUuQrYozUcu5zJztUlIJFRTogvSZi76VpKLRK5K5WJsWQjb+f3h43ycbS7ys/M+vB/3283t1t7ndc55nu30fp3neV9p1qxZcnd3t49JSkrS0KFD1aFDB0lSmzZtNH78eKe/HgAAAAAobLdcEfzkk08cfnZzc1NcXJzi4uKueJ+iRYtqwoQJmjBhwhXHeHl5ac6cOTctJwAAAAC4Kpc+RhAA9M292QAAIABJREFUAAAAcPNRBAEAAADAZCiCAAAAAGAyFEEAAAAAMBmKIAAAAACYDEUQAAAAAEyGIggAAAAAJkMRBAAAAACToQgCAAAAgMlQBAEAAADAZCiCAAAAAGAyFEEAAAAAMBmKIAAAAACYDEUQAAAAAEyGIggAAAAAJkMRBAAAAACToQgCAAAAgMlQBAEAAADAZCiCAAAAAGAyFEEAAAAAMBmKIAAAAACYDEUQAAAAAEyGIggAAAAAJkMRBAAAAACToQgCAAAAgMlQBAEAAADAZCiCAAAAAGAyFEEAAAAAMBmKIAAAAACYDEUQAAAAAEyGIggAAAAAJkMRBAAAAACToQgCAAAAgMlQBAEAAADAZCiCAAAAAGAyFEEAAAAAMBmKIAAAAACYDEUQAAAAAEyGIggAAAAAJkMRBAAAAACToQgCAAAAgMlQBAEAAADAZCiCAAAAAGAyFEEAAAAAMBmKIAAAAACYDEUQAAAAAEyGIggAAAAAJkMRBAAAAACToQgCAAAAgMlQBAEAAADAZCiCAAAAAGAyFEEAAAAAMBmKIAAAAACYDEUQAAAAAEyGIggAAAAAJkMRBAAAAACToQgCAAAAgMlQBAEAAADAZCiCAAAAAGAyFEEAAAAAMBmKIAAAAACYDEUQAAAAAEyGIggAAAAAJkMRBAAAAACToQgCAAAAgMlQBAEAAADAZCiCAAAAAGAyFEEAAAAAMBmXLoKTJk1SixYt5OfnpypVqqhTp07auXOnwxibzaYxY8YoJCRE5cqVU0REhHbt2uUw5p9//tGQIUMUGBio8uXLq3Pnzjp8+LDDmMzMTPXu3Vv+/v7y9/dX7969lZmZWeivEQAAAACczaWLYFpamqKjo7VmzRqlpKTIw8ND7du318mTJ+1jpk6dqsTERI0bN05r166Vj4+PHnvsMZ06dco+Ji4uTitXrtTcuXO1atUqnTp1Sp06dVJOTo59TM+ePbVt2za9//77WrZsmbZt26bnnnvOqa8XAAAAAJzBw+gAV7NixQqHn2fPni1/f39t2rRJbdq0kc1m08yZMzVgwAC1a9dOkjRz5kwFBQVp2bJl6t69u7KysrRw4UIlJiaqRYsW9scJCwvTV199pYceeki7d+/WF198odWrV6tBgwaSpMmTJ6tNmzbas2ePgoKCnPvCAQAAAKAQufQWwbyys7OVm5sri8UiSTp48KCOHDmiBx980D6mWLFiatSokTZv3ixJ2rp1q86fP+8wpmLFigoODraP2bJli0qUKGEvgZLUsGFDeXp62scAAAAAwO3CpbcI5hUbG6uwsDDVr19fknTkyBFJko+Pj8M4Hx8f/fHHH5Kko0ePyt3dXd7e3vnGHD161D7G29tbbm5u9tvd3Nx0991328cUZM+ePddIXPy6Xtf1uPZz/Vuumu3m5ZJcN5t5/p6S62Yzx3tNct1s5nmvSa6bjffajSHbv2eO95rkutnM816TXDebc99r19qr8ZYpgq+88oo2bdqk1atXy93d3eG2ywucdPEEMnmX5ZV3TEHjr/U419xlNO3w1W//F2767qmumu0m5pJcN5tp/p6S62YzyXtNct1spnmvSa6bjffajSHbv2eS95rkutlM816TXDebi73XboldQ+Pi4rR8+XKlpKSoUqVK9uVWq1WS8m21O378uH0rYdmyZZWTk6OMjIyrjjl+/LhsNpv9dpvNpoyMjHxbGwEAAADgVufyRXDo0KFatmyZUlJSVK1aNYfbAgICZLVatW7dOvuys2fPauPGjfbj/WrXrq0777zTYczhw4e1e/du+5j69esrOztbW7ZssY/ZsmWL/v77b4fjBgEAAADgduDSu4YOHjxY7733nt555x1ZLBb7MYGenp4qUaKE3NzcFBMTo4kTJyooKEhVq1ZVQkKCPD091bFjR0lS6dKl9fTTT+u1116Tj4+PvLy8NGzYMIWGhqp58+aSpODgYD388MMaOHCgpk6dKpvNpoEDB6p169acMRQAAADAbceli2BycrIk2S8NccnQoUMVFxcnSerfv7/OnDmjIUOGKDMzU3Xr1tWKFStUsmRJ+/jRo0fL3d1d3bt319mzZ/XAAw9o1qxZDscaJiUlaejQoerQoYMkqU2bNho/fnxhv0QAAAAAcDqXLoKZmZnXHOPm5qa4uDh7MSxI0aJFNWHCBE2YMOGKY7y8vDRnzpwbygkAAAAAtxKXP0YQAAAAAHBzUQQBAAAAwGQoggAAAABgMhRBAAAAADAZiiAAAAAAmAxFEAAAAABMhiIIAAAAACZDEQQAAAAAk6EIAgAAAIDJUAQBAAAAwGQoggAAAABgMhRBAAAAADAZiiAAAAAAmAxFEAAAAABMhiIIAAAAACZDEQQAAAAAk6EIAgAAAIDJUAQBAAAAwGQoggAAAABgMhRBAAAAADAZiiAAAAAAmAxFEAAAAABMhiIIAAAAACZDEQQAAAAAk6EIAgAAAIDJUAQBAAAAwGQoggAAAABgMhRBAAAAADAZiiAAAAAAmAxFEAAAAABMhiIIAAAAACZDEQQAAAAAk6EIAgAAAIDJUAQBAAAAwGQoggAAAABgMhRBAAAAADAZiiAAAAAAmAxFEAAAAABMhiIIAAAAACZDEQQAAAAAk6EIAgAAAIDJUAQBAAAAwGQoggAAAABgMhRBAAAAADAZiiAAAAAAmAxFEAAAAABMhiIIAAAAACZDEQQAAAAAk6EIAgAAAIDJUAQBAAAAwGQoggAAAABgMhRBAAAAADAZiiAAAAAAmAxFEAAAAABMhiIIAAAAACZDEQQAAAAAk6EIAgAAAIDJUAQBAAAAwGQoggAAAABgMhRBAAAAADAZiiAAAAAAmAxFEAAAAABMhiIIAAAAACZDEQQAAAAAk6EIAgAAAIDJUAQBAAAAwGQoggAAAABgMhRBAAAAADAZimAeycnJqlmzpqxWq5o1a6b09HSjIwEAAADATUURvMyKFSsUGxurQYMG6euvv1b9+vX1+OOP69dffzU6GgAAAADcNBTByyQmJuqpp57SM888o+DgYE2YMEFWq1VvvfWW0dEAAAAA4KZxy8zMtBkdwhWcO3dOvr6+mjt3rtq3b29fPnjwYO3cuVOrVq0yMB0AAAAA3DxsEfyvjIwM5eTkyMfHx2G5j4+Pjh49alAqAAAAALj5KIJ5uLm5Ofxss9nyLQMAAACAWxlF8L+8vb3l7u6eb+vf8ePH820lBAAAAIBbGUXwv+666y7Vrl1b69atc1i+bt06NWjQwKBUAAAAAHDzeRgdwJX06dNHzz33nOrWrasGDRrorbfe0p9//qnu3bsbHQ0AAAAAbhq2CF6mQ4cOGjNmjCZMmKCmTZtq06ZNWrp0qfz9/Qvl+Vzx4vUbNmxQ586dVb16dVksFi1atMjoSHaTJk1SixYt5OfnpypVqqhTp07auXOn0bGUlJSkRo0ayc/PT35+fmrZsqXWrFljdKwCTZw4URaLRUOGDDE6isaMGSOLxeLwr1q1akbHsvvzzz/1/PPPq0qVKrJarWrQoIHS0tKMjqWwsLB8vzeLxaInnnjC0Fw5OTkaNWqUfZ1Ws2ZNjRo1ShcuXDA01yWnTp1SbGys7rnnHpUrV06tWrXSd9995/Qc11rH2mw2jRkzRiEhISpXrpwiIiK0a9cul8iWkpKiDh06qEqVKrJYLEpNTTU81/nz5zVixAg1atRI5cuXV3BwsHr27Om06/9e63c2atQo3XfffSpfvrwCAgIUGRmpzZs3u0S2y/Xv318Wi0VvvvmmS2SLiYnJt457+OGHXSKbJO3du1ddu3aVv7+/fH199cADD2j37t2G5ipoXrBYLBo8eHCh5rqebNnZ2RoyZIhq1KihcuXKqV69ekpMTCz0XNeT7ejRo4qJiVFISIh8fX0VFRWlX375pdBzXc9nWmfMBxTBPHr27Kkff/xRR48e1fr169W4ceNCeR5XvXj933//rRo1amjs2LEqVqyYoVnySktLU3R0tNasWaOUlBR5eHioffv2OnnypKG5ypcvr/j4eK1fv17r1q3TAw88oC5dumj79u2G5srrm2++0fz58xUaGmp0FLugoCDt3r3b/s8VvgyRpMzMTLVu3Vo2m01Lly7V5s2bNX78eJc4XnjdunUOv7P169fLzc3N4bI3RpgyZYqSk5M1btw4bdmyRWPHjlVSUpImTZpkaK5L+vXrp7Vr12rmzJlKT09XixYt1L59e/3+++9OzXGtdezUqVOVmJiocePGae3atfLx8dFjjz2mU6dOGZ7t9OnTql+/vt54441Cz3K9uU6fPq0ffvhBgwcP1vr16/Xuu+/q8OHD6tixo1O+hLjW7ywoKEgJCQlKT0/X6tWrFRAQoI4dOzrlbOTXO59/9NFH+u677+Tr61vomf5NtubNmzus695//32XyHbgwAG1bt1aAQEBSklJ0caNGzV8+HB5enoamuvy39Xu3bu1ZMkSSXLK3HCtbMOGDdNnn32mWbNmafPmzRo0aJDi4+PtGY3KZrPZ1KVLF+3bt0+LFi3S119/LT8/P7Vr105///13oea6ns+0zpgPuI6gQR566CGFhoZq2rRp9mV16tRRu3btNGLECAOT/U+FChU0fvx4denSxegoBcrOzpa/v78WLVqkNm3aGB3HQaVKlTRixAiX2a04KytLzZo109SpUzV+/HjVqFFDEyZMMDTTmDFj7JOoqxk5cqQ2bNjgslt2L5eQkKBp06bpp59+UvHixQ3L0alTJ3l5eWnWrFn2Zc8//7xOnjyp9957z7BcknTmzBlVrFhRCxYsUEREhH15s2bN1LJlSw0fPtyQXHnXsTabTSEhIerVq5f9W/wzZ84oKChI//nPf5y6Prna+j8jI0NVqlTRypUr1bRpU6dlulauS3766Sc1bNhQGzZscOoXX9eT7a+//pK/v7+WL1+uhx56yPBshw4dUuvWrfXhhx+qY8eO6t27t1588UWn5bpStpiYGJ04ccLwdUdB2Xr27Ck3NzclJSW5VK68+vXrp/T0dP3f//2fE5MVnO3+++9X27Zt9corr9iXPfLIIwoNDXXqZ5G82fbu3at69eopNTVVYWFhkqTc3FxVq1ZNr732mrp16+a0bHk/0zprPmCLoAHOnTunrVu36sEHH3RY/uCDDzptl5HbQXZ2tnJzc2WxWIyOYpeTk6Ply5fr77//Vv369Y2OYzdgwAC1a9dOzZo1MzqKgwMHDqh69eqqWbOmevTooQMHDhgdSZL0ySefqG7duurevbuqVq2qJk2aaM6cObLZXOt7M5vNpoULF6pTp06GlkBJatiwodLS0vTzzz9LuvhhPDU1VS1btjQ0lyRduHBBOTk5Klq0qMPyYsWKudQXEQcPHtSRI0cc5oZixYqpUaNGzA3/wqVvy11pbpAuzv3z589XqVKl7B86jXThwgX17NlTgwcPVnBwsNFx8tm4caOqVq2qunXrql+/fjp27JjRkZSbm6vVq1crODhYUVFRqlKlilq0aKEVK1YYHc3BqVOntGLFCj3zzDNGR5F0cX5YvXq1fvvtN0nS5s2btX37dqd+GVKQf/75R5Ic5oY77rhDRYoUcfrckPczrbPmA04WYwAuXn9zxMbGKiwszCUK144dO9SqVSudPXtWnp6eeuedd1xmF8z58+dr3759mj17ttFRHNSrV08zZsxQUFCQjh8/rgkTJqhVq1batGmTypQpY2i2AwcOaO7cuXrhhRc0YMAA/fjjjxo6dKgkqXfv3oZmu9y6det08OBBPf3000ZH0YABA5Sdna0GDRrI3d1dFy5c0ODBg9WzZ0+jo6lkyZKqX7++EhISVL16dVmtVi1btkxbtmxRYGCg0fHsjhw5IkkFzg1//PGHEZFuOefOndPw4cMVHh6uChUqGB1HkrR69WpFR0fr9OnTKleunD744AOVLVvW6FgaM2aMvLy8FB0dbXSUfB5++GG1bdtWAQEBOnTokEaNGqXIyEh99dVXKlKkiGG5jh07puzsbE2aNEmvvPKKRowYoa+//lq9evVS8eLFFR4ebli2yy1fvlz//POPnnzySaOjSJLGjRungQMH6p577pGHx8XqMX78eMN/X9WqVZOfn59GjhypadOmydPTUzNmzNDhw4ft62NnyfuZ1lnzAUXQQFy8/sa98sor2rRpk1avXi13d3ej4ygoKEipqanKyspSSkqKYmJi9PHHH6tGjRqG5tqzZ49GjhypTz/9VHfddZehWfLKu6WoXr16ql27tt5991317dvXoFQX5ebm6t5777Xvpl2rVi3t27dPycnJLlUE58+frzp16qhmzZpGR9GKFSu0ZMkSJScnKyQkRD/++KNiY2Pl7+/v1N1rrmT27Nnq06ePatSoIXd3d9WqVUsdO3bUDz/8YHS0fJgbbsyFCxfUu3dvZWVlafHixUbHsWvatKlSU1OVkZGh+fPn69lnn9Xnn3+ucuXKGZYpLS1N7777rtNO+PNvRUVF2f87NDRUtWvXVlhYmNasWaPIyEjDcuXm5kq6uFvjpXmqZs2a2rp1q5KTkw0vNpfMnz9fERERuvvuu42OIuni+nfz5s1avHix/Pz8lJ6erldffVX+/v5OOwlQQe68804tXLhQffv2VeXKleXu7q7mzZs7fU+Wq32mLez5gF1DDcDF6///xMXFafny5UpJSVGlSpWMjiPp4nUoAwMD7eUhLCxMM2bMMDqWtmzZooyMDN1///3y9vaWt7e3NmzYoOTkZHl7e9t3i3AFJUqUUEhIiPbt22d0FFmt1ny7SlWrVs2+W4srOHbsmFatWuUyu/689tpr6tu3r6KiohQaGqrOnTurT58+mjx5stHRJEmVK1fWqlWrdPjwYe3YsUNr167V+fPnFRAQYHQ0O6vVKknMDTfgwoULio6O1o4dO/TRRx8ZvlfB5Tw9PRUYGKj77rtP06dP15133qkFCxYYmik1NVV//vmngoOD7XPDr7/+qhEjRhj+BWZBfH19Vb58ecPnB29vb3l4eLj0/LBt2zZ9//33LjM3nDlzRiNHjlR8fLzatGmje+65R71791aHDh2cdpbaq6ldu7bS0tJ08OBB7d69W8uXL9eJEyecNjdc6TOts+YDiqABuHj9jRs6dKiWLVumlJQUl7rUQF65ubk6d+6c0TEUERGh9PR0paam2v/de++9ioqKUmpqqkttJTx79qz27NljX/kZqWHDhtq7d6/Dsr1798rPz8+gRPktWrRIRYoUUYcOHYyOIuni2RvzfpPp7u5u/wbdVXh6eqpcuXLKzMzUl19+qUceecToSHYBAQGyWq0Oc8PZs2e1ceNG5oarOH/+vLp3764dO3Zo5cqVLrEOuRpXmB969uypDRs2OMwNvr6+euGFF/TRRx8Zmq0gGRkZ+uOPPwz/2951112qU6eO9uzZ47DcleaH+fPny9/fX82bNzc6iqSL/3+eP3/e5eeH0qVL6+6779Yvv/yi77//3ilzw9U+0zprPmDXUIO46sXrs7Oz7d+45ebm6rffftO2bdvk5eVl+Epu8ODBeu+99/TOO+/IYrHY95/29PRUiRIlDMv1+uuvq1WrVqpQoYKys7O1bNkypaWlaenSpYZluuTSdYQuV7x4cXl5eRn+re+l43gqVqxoP0bw9OnTLnFMwwsvvKBWrVopISFBHTp00LZt2zRnzhy9+uqrRkeTdHHXkAULFqhDhw4qWbKk0XEkSeHh4ZoyZYoCAgIUEhKibdu2KTExUZ07dzY6miTpyy+/VG5uroKCgrR//369+uqrCgoKcvpZka+1jo2JidHEiRMVFBSkqlWrKiEhQZ6enurYsaPh2U6ePKlff/1VWVlZkqT9+/erdOnSslqthfoB/Wq5fH199cwzz+j777/X4sWL5ebmZp8bSpUqVeiXQbpattKlS2vatGkKDw+X1WpVRkaGkpKS9PvvvzvllP7X+nvm3arg4eEhq9WqoKAgQ7N5eXlp7NixioyMlNVq1aFDhzRy5Ej5+Pjo0UcfNTSbn5+f+vXrp+7du6tRo0Z64IEHlJqaqhUrVhT6dZev5/PZ6dOn9f7776tfv35O3Z38WtkaN26s+Ph4eXp6ys/PTxs2bNCSJUsUHx9veLYPP/xQZcqUkb+/v3bs2KHY2FhFRETkO6HjzXatz7Rubm5OmQ+4fISBkpOTNXXqVB05ckTVq1fX6NGjC+26hdcrNTVVbdu2zbf8ySef1MyZMw1I9D9XOgPc0KFDFRcX5+Q0/xMTE6PU1FQdPXpUpUqVUmhoqPr162f42bCuJCIiwiUuH9GjRw+lp6crIyNDd999t+rVq6dhw4YpJCTE0FyXrFmzRiNHjtTevXtVsWJF9erVS88995xLHKv19ddfKzIyUl9++aXq1q1rdBxJF89S98Ybb+jjjz/W8ePHZbVaFRUVpZdffjnf2TqN8MEHHyg+Pl6///67vLy8FBkZqeHDh6t06dJOzXGtdazNZtPYsWP19ttvKzMzU3Xr1lVCQoJTvri5VrZFixapT58++W4v7HXw1XLFxsaqVq1aBd4vMTGx0Iv+1bJNnDhRvXr10rfffqsTJ06oTJkyuvfeezVo0CDVq1evUHNdK1tB83lYWJjTLh9xtWyTJk1Sly5dtG3bNmVlZclqtapp06YaNmyYKlasaGi2S7+3RYsWadKkSTp8+LACAwP10ksvFfqXNdeT65133lH//v21fft2p14X8lrZjhw5ovj4eK1bt04nT56Un5+funXrpr59+xb6nHqtbLNmzdKbb76po0ePymq1qnPnznr55ZcLfY+p6/lM64z5gCIIAAAAACbDMYIAAAAAYDIUQQAAAAAwGYogAAAAAJgMRRAAAAAATIYiCAAAAAAmQxEEAAAAAJOhCAIAYAIxMTEKCwszOgYAwEVQBAEAt6Xff/9dQ4YMUe3atWW1WhUYGKjHH39cX3zxhdHRCs3OnTs1ZswYHTx40OgoAAAXxwXlAQC3nW+++UaPP/64zp8/r65duyo0NFQnTpzQ0qVLtXPnTr300kt67bXXjI550y1fvlzR0dFauXKlmjZt6nDb+fPnlZubqyJFihiUDgDgSjyMDgAAwM2UmZmpbt26ycPDQ59//rmCgoLst/Xt21c9evTQpEmTVLNmTbVv397ApM515513Gh0BAOBC2DUUAHBbefvtt/XHH38oPj7eoQRKkoeHh6ZNm6ZSpUppzJgxDrfZbDYlJSWpSZMmKleunAIDA9W+fXulp6c7jFu+fLkefvhhlS9fXv7+/goPD9cnn3xiv91iseR7bEmKiIhQRESE/efU1FRZLBYtXbpUo0ePVkhIiHx9fdW+fXvt2bPH4b7bt29XTEyMfTfXKlWqKDo6Wr/99pt9zKJFixQdHS1Jatu2rSwWiywWixYtWiSp4GMEc3NzNWXKFNWtW1dly5ZV9erVNWTIEGVlZeXLft999+mXX35RVFSUypcvr6CgIMXHxys3N7fgPwQAwKWxRRAAcFv59NNPVaRIEUVFRRV4u8Vi0SOPPKIlS5Zo//79qly5siSpf//+WrBggZo3b66nnnpKNptNW7Zs0caNG9WoUSNJUkJCgkaNGqU6dero5ZdfVrFixbR161atXbvWoeT9G1OmTFFubq769u2rzMxMzZ49W23btlV6errKlCkjSVq3bp327NmjJ554QhUqVNC+ffs0b948fffdd0pPT1exYsXUuHFj9erVS0lJSRo0aJCqVasmSWrQoMEVn3vQoEGaN2+e2rRpo+eff167du3S3Llz9e2332rNmjUOWxH/+usvtWvXTuHh4YqIiNAXX3yhyZMnKyAgQM8+++wNvXYAgHEoggCA28pPP/2kqlWrqmjRolccExYWpiVLluinn35S5cqVlZqaqgULFuiZZ57R1KlT7eP69Okjm+3iofT79+/X6NGj1bJlSy1evFgeHv+bQi+NuRHHjh3TN998I4vFIklq2rSp2rVrp+nTp9uPY4yOjtaLL77ocL/w8HC1adNGK1eu1BNPPKFKlSqpYcOGSkpKUvPmzfMdI5jXzp07NW/ePD3xxBOaM2eOfXlQUJDi4uK0ePFidevWzb78yJEjmjZtmn1Zjx491KRJE82fP58iCAC3IHYNBQDcVrKzs1WqVKmrjilZsqQk6dSpU5KklJQUSdLw4cPzjXVzc5Mkffzxx8rNzVVsbKxDCbx8zI3o3LmzvQRKUrNmzVS9enV99tln9mXFixe3/3d2drZOnDihatWqqXTp0tq6desNPe+aNWskSf369XNY3qNHD5UqVcp++yVFixZVly5dHJY1btxYBw4cuKHnBwAYiy2CAIDbSokSJfTXX39ddcylAliiRAlJF7f2+fj4yMfH54r32b9/vySpRo0aNynpRVWqVClwWWpqqv3nzMxMvf766/roo4908uRJh7F5j+e7XocOHZKbm1u+4yiLFCmigIAAHTp0yGF5+fLl5e7u7rDMYrHkywMAuDVQBAEAt5Xg4GD98MMPOnv27BV3D92+fbskqXr16pIu7tp5ra161zPmanJzc3XHHfl3xCnoMfPuatqjRw+lp6erb9++qlmzpkqWLCk3Nzf16NGjUE7WUtBrzVsCAQC3NnYNBQDcVsLDw/XPP/9oxYoVBd6elZWlVatWKTg42H6imMDAQB09elTHjh274uMGBgbKZrNp165dV31+i8VS4Fa6vFvYLtm7d2++Zfv27ZOfn5+ki1sD165dqwEDBmj48OGKjIxUixYt1LBhQ2VmZjrc798UVX9/f9lstnxnKD137pwOHTokf3//634sAMCthyIIALit9OjRQ1arVa+//rp++eUXh9tycnI0YMAAZWVlKTY21r48MjJSkjR69Oh8j3dp69yjjz6qO+64Q+PGjVNOTk6BY6SLhTEtLc3h9k8++USHDx8uMO+SJUscCt369eu1a9cutWzZUpLsWxHzbiWcMWNGvq2Bl44lzFtHDAzKAAACf0lEQVQQC9KqVStJUmJiosPyefPm6a+//lLr1q2v+RgAgFsXu4YCAG4rFotFCxYs0OOPP65mzZqpa9euqlGjhk6ePKmlS5dqx44dGjhwoB577DH7fZo2baqnnnpK8+bN04EDB+wl6ZtvvlFoaKgGDRqkypUr6+WXX9bYsWPVunVrRUZGqlixYvrhhx9UtGhRJSQkSJKeffZZ9evXT0899ZRatmypn3/+WcuWLbNvfczLx8dH4eHh6tq1q7KysjRr1iyVLVtWffv2lSSVKlVKTZo00bRp03T+/Hn5+flp48aNDpeXuKRWrVq64447NHnyZGVlZalYsWKqW7euKlWqlO95Q0ND1b17d3vxa9GihXbt2qV58+apTp06evLJJ2/GnwMA4KIoggCA206DBg2Unp6uKVOmaNWqVXrrrbfk6empOnXq6PXXX7dvbbvc9OnTFRoaqoULF2rEiBEqUaKEatWqpcaNG9vHxMbGKiAgQLNnz9bo0aNVpEgRVa9e3eHMm127dtWhQ4e0YMECrV27Vvfee6/ef/99DRs2rMCsAwYM0J49ezR9+nRlZmaqQYMGGj9+vLy9ve1jkpOTFRsbq3nz5unChQtq1KiRUlJS1K5dO4fH8vX11ZQpUzRlyhT1799fOTk5SkxMLLAIStLEiRMVEBCgBQsW6LPPPpO3t7eio6M1fPhwh2sIAgBuP26ZmZk3fvEjAABwQ1JTU9W2bVvNnTtXUVFRRscBAJgMxwgCAAAAgMlQBAEAAADAZCiCAAAAAGAyHCMIAAAAACbDFkEAAAAAMBmKIAAAAACYDEUQAAAAAEyGIggAAAAAJkMRBAAAAACToQgCAAAAgMn8P3o0yMsDWtyeAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 936x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# bivariate analysis\n",
    "occupation_plot = df.pivot_table(index='Occupation', values='Purchase', aggfunc=np.mean)\n",
    "occupation_plot.plot(kind='bar', figsize=(13, 7))\n",
    "plt.xlabel('Occupation')\n",
    "plt.ylabel(\"Purchase\")\n",
    "plt.title(\"Occupation and Purchase Analysis\")\n",
    "plt.xticks(rotation=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "age_plot = df.pivot_table(index='Age', values='Purchase', aggfunc=np.mean)\n",
    "age_plot.plot(kind='bar', figsize=(13, 7))\n",
    "plt.xlabel('Age')\n",
    "plt.ylabel(\"Purchase\")\n",
    "plt.title(\"Age and Purchase Analysis\")\n",
    "plt.xticks(rotation=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gender_plot = df.pivot_table(index='Gender', values='Purchase', aggfunc=np.mean)\n",
    "gender_plot.plot(kind='bar', figsize=(13, 7))\n",
    "plt.xlabel('Gender')\n",
    "plt.ylabel(\"Purchase\")\n",
    "plt.title(\"Gender and Purchase Analysis\")\n",
    "plt.xticks(rotation=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Preprocessing the dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "User_ID                            0\n",
       "Product_ID                         0\n",
       "Gender                             0\n",
       "Age                                0\n",
       "Occupation                         0\n",
       "City_Category                      0\n",
       "Stay_In_Current_City_Years         0\n",
       "Marital_Status                     0\n",
       "Product_Category_1                 0\n",
       "Product_Category_2            173638\n",
       "Product_Category_3            383247\n",
       "Purchase                           0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# check for null values\n",
    "df.isnull().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['Product_Category_2'] = df['Product_Category_2'].fillna(-2.0).astype(\"float32\")\n",
    "df['Product_Category_3'] = df['Product_Category_3'].fillna(-2.0).astype(\"float32\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "User_ID                       0\n",
       "Product_ID                    0\n",
       "Gender                        0\n",
       "Age                           0\n",
       "Occupation                    0\n",
       "City_Category                 0\n",
       "Stay_In_Current_City_Years    0\n",
       "Marital_Status                0\n",
       "Product_Category_1            0\n",
       "Product_Category_2            0\n",
       "Product_Category_3            0\n",
       "Purchase                      0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.isnull().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "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>User_ID</th>\n",
       "      <th>Product_ID</th>\n",
       "      <th>Gender</th>\n",
       "      <th>Age</th>\n",
       "      <th>Occupation</th>\n",
       "      <th>City_Category</th>\n",
       "      <th>Stay_In_Current_City_Years</th>\n",
       "      <th>Marital_Status</th>\n",
       "      <th>Product_Category_1</th>\n",
       "      <th>Product_Category_2</th>\n",
       "      <th>Product_Category_3</th>\n",
       "      <th>Purchase</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00069042</td>\n",
       "      <td>0</td>\n",
       "      <td>0-17</td>\n",
       "      <td>10</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>-2.0</td>\n",
       "      <td>-2.0</td>\n",
       "      <td>8370</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00248942</td>\n",
       "      <td>0</td>\n",
       "      <td>0-17</td>\n",
       "      <td>10</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>6.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>15200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00087842</td>\n",
       "      <td>0</td>\n",
       "      <td>0-17</td>\n",
       "      <td>10</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>12</td>\n",
       "      <td>-2.0</td>\n",
       "      <td>-2.0</td>\n",
       "      <td>1422</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00085442</td>\n",
       "      <td>0</td>\n",
       "      <td>0-17</td>\n",
       "      <td>10</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>12</td>\n",
       "      <td>14.0</td>\n",
       "      <td>-2.0</td>\n",
       "      <td>1057</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1000002</td>\n",
       "      <td>P00285442</td>\n",
       "      <td>1</td>\n",
       "      <td>55+</td>\n",
       "      <td>16</td>\n",
       "      <td>C</td>\n",
       "      <td>4+</td>\n",
       "      <td>0</td>\n",
       "      <td>8</td>\n",
       "      <td>-2.0</td>\n",
       "      <td>-2.0</td>\n",
       "      <td>7969</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   User_ID Product_ID  Gender   Age  Occupation City_Category  \\\n",
       "0  1000001  P00069042       0  0-17          10             A   \n",
       "1  1000001  P00248942       0  0-17          10             A   \n",
       "2  1000001  P00087842       0  0-17          10             A   \n",
       "3  1000001  P00085442       0  0-17          10             A   \n",
       "4  1000002  P00285442       1   55+          16             C   \n",
       "\n",
       "  Stay_In_Current_City_Years  Marital_Status  Product_Category_1  \\\n",
       "0                          2               0                   3   \n",
       "1                          2               0                   1   \n",
       "2                          2               0                  12   \n",
       "3                          2               0                  12   \n",
       "4                         4+               0                   8   \n",
       "\n",
       "   Product_Category_2  Product_Category_3  Purchase  \n",
       "0                -2.0                -2.0      8370  \n",
       "1                 6.0                14.0     15200  \n",
       "2                -2.0                -2.0      1422  \n",
       "3                14.0                -2.0      1057  \n",
       "4                -2.0                -2.0      7969  "
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# encoding values using dict\n",
    "gender_dict = {'F':0, 'M':1}\n",
    "df['Gender'] = df['Gender'].apply(lambda x: gender_dict[x])\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "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>User_ID</th>\n",
       "      <th>Product_ID</th>\n",
       "      <th>Gender</th>\n",
       "      <th>Age</th>\n",
       "      <th>Occupation</th>\n",
       "      <th>City_Category</th>\n",
       "      <th>Stay_In_Current_City_Years</th>\n",
       "      <th>Marital_Status</th>\n",
       "      <th>Product_Category_1</th>\n",
       "      <th>Product_Category_2</th>\n",
       "      <th>Product_Category_3</th>\n",
       "      <th>Purchase</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00069042</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>-2.0</td>\n",
       "      <td>-2.0</td>\n",
       "      <td>8370</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00248942</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>6.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>15200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00087842</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>12</td>\n",
       "      <td>-2.0</td>\n",
       "      <td>-2.0</td>\n",
       "      <td>1422</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00085442</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>12</td>\n",
       "      <td>14.0</td>\n",
       "      <td>-2.0</td>\n",
       "      <td>1057</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1000002</td>\n",
       "      <td>P00285442</td>\n",
       "      <td>1</td>\n",
       "      <td>6</td>\n",
       "      <td>16</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>8</td>\n",
       "      <td>-2.0</td>\n",
       "      <td>-2.0</td>\n",
       "      <td>7969</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   User_ID Product_ID  Gender  Age  Occupation  City_Category  \\\n",
       "0  1000001  P00069042       0    0          10              0   \n",
       "1  1000001  P00248942       0    0          10              0   \n",
       "2  1000001  P00087842       0    0          10              0   \n",
       "3  1000001  P00085442       0    0          10              0   \n",
       "4  1000002  P00285442       1    6          16              2   \n",
       "\n",
       "   Stay_In_Current_City_Years  Marital_Status  Product_Category_1  \\\n",
       "0                           2               0                   3   \n",
       "1                           2               0                   1   \n",
       "2                           2               0                  12   \n",
       "3                           2               0                  12   \n",
       "4                           4               0                   8   \n",
       "\n",
       "   Product_Category_2  Product_Category_3  Purchase  \n",
       "0                -2.0                -2.0      8370  \n",
       "1                 6.0                14.0     15200  \n",
       "2                -2.0                -2.0      1422  \n",
       "3                14.0                -2.0      1057  \n",
       "4                -2.0                -2.0      7969  "
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# to improve the metric use one hot encoding\n",
    "# label encoding\n",
    "cols = ['Age', 'City_Category', 'Stay_In_Current_City_Years']\n",
    "from sklearn.preprocessing import LabelEncoder\n",
    "le = LabelEncoder()\n",
    "for col in cols:\n",
    "    df[col] = le.fit_transform(df[col])\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Coorelation Matrix\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22abc76e040>"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x504 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "corr = df.corr()\n",
    "plt.figure(figsize=(14,7))\n",
    "sns.heatmap(corr, annot=True, cmap='coolwarm')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Input Split"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "scrolled": true
   },
   "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>User_ID</th>\n",
       "      <th>Product_ID</th>\n",
       "      <th>Gender</th>\n",
       "      <th>Age</th>\n",
       "      <th>Occupation</th>\n",
       "      <th>City_Category</th>\n",
       "      <th>Stay_In_Current_City_Years</th>\n",
       "      <th>Marital_Status</th>\n",
       "      <th>Product_Category_1</th>\n",
       "      <th>Product_Category_2</th>\n",
       "      <th>Product_Category_3</th>\n",
       "      <th>Purchase</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00069042</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>-2.0</td>\n",
       "      <td>-2.0</td>\n",
       "      <td>8370</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00248942</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>6.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>15200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00087842</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>12</td>\n",
       "      <td>-2.0</td>\n",
       "      <td>-2.0</td>\n",
       "      <td>1422</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1000001</td>\n",
       "      <td>P00085442</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>12</td>\n",
       "      <td>14.0</td>\n",
       "      <td>-2.0</td>\n",
       "      <td>1057</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1000002</td>\n",
       "      <td>P00285442</td>\n",
       "      <td>1</td>\n",
       "      <td>6</td>\n",
       "      <td>16</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>8</td>\n",
       "      <td>-2.0</td>\n",
       "      <td>-2.0</td>\n",
       "      <td>7969</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   User_ID Product_ID  Gender  Age  Occupation  City_Category  \\\n",
       "0  1000001  P00069042       0    0          10              0   \n",
       "1  1000001  P00248942       0    0          10              0   \n",
       "2  1000001  P00087842       0    0          10              0   \n",
       "3  1000001  P00085442       0    0          10              0   \n",
       "4  1000002  P00285442       1    6          16              2   \n",
       "\n",
       "   Stay_In_Current_City_Years  Marital_Status  Product_Category_1  \\\n",
       "0                           2               0                   3   \n",
       "1                           2               0                   1   \n",
       "2                           2               0                  12   \n",
       "3                           2               0                  12   \n",
       "4                           4               0                   8   \n",
       "\n",
       "   Product_Category_2  Product_Category_3  Purchase  \n",
       "0                -2.0                -2.0      8370  \n",
       "1                 6.0                14.0     15200  \n",
       "2                -2.0                -2.0      1422  \n",
       "3                14.0                -2.0      1057  \n",
       "4                -2.0                -2.0      7969  "
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = df.drop(columns=['User_ID', 'Product_ID', 'Purchase'])\n",
    "y = df['Purchase']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model Training"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import cross_val_score, train_test_split\n",
    "from sklearn.metrics import mean_squared_error\n",
    "def train(model, X, y):\n",
    "    # train-test split\n",
    "    x_train, x_test, y_train, y_test = train_test_split(X, y, random_state=42, test_size=0.25)\n",
    "    model.fit(x_train, y_train)\n",
    "    \n",
    "    # predict the results\n",
    "    pred = model.predict(x_test)\n",
    "    \n",
    "    # cross validation\n",
    "    cv_score = cross_val_score(model, X, y, scoring='neg_mean_squared_error', cv=5)\n",
    "    cv_score = np.abs(np.mean(cv_score))\n",
    "    \n",
    "    print(\"Results\")\n",
    "    print(\"MSE:\", np.sqrt(mean_squared_error(y_test, pred)))\n",
    "    print(\"CV Score:\", np.sqrt(cv_score))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Results\n",
      "MSE: 4617.994034201719\n",
      "CV Score: 4625.252945835687\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22ac2072c40>"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.linear_model import LinearRegression\n",
    "model = LinearRegression(normalize=True)\n",
    "train(model, X, y)\n",
    "coef = pd.Series(model.coef_, X.columns).sort_values()\n",
    "coef.plot(kind='bar', title='Model Coefficients')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Results\n",
      "MSE: 3366.9672356860747\n",
      "CV Score: 3338.5905886644855\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22ac524a940>"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.tree import DecisionTreeRegressor\n",
    "model = DecisionTreeRegressor()\n",
    "train(model, X, y)\n",
    "features = pd.Series(model.feature_importances_, X.columns).sort_values(ascending=False)\n",
    "features.plot(kind='bar', title='Feature Importance')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Results\n",
      "MSE: 3062.66041010778\n",
      "CV Score: 3052.7778119222253\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22ac72bbe80>"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.ensemble import RandomForestRegressor\n",
    "model = RandomForestRegressor(n_jobs=-1)\n",
    "train(model, X, y)\n",
    "features = pd.Series(model.feature_importances_, X.columns).sort_values(ascending=False)\n",
    "features.plot(kind='bar', title='Feature Importance')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Results\n",
      "MSE: 3194.0770038232185\n",
      "CV Score: 3180.5476561931346\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22ac7137a00>"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.ensemble import ExtraTreesRegressor\n",
    "model = ExtraTreesRegressor(n_jobs=-1)\n",
    "train(model, X, y)\n",
    "features = pd.Series(model.feature_importances_, X.columns).sort_values(ascending=False)\n",
    "features.plot(kind='bar', title='Feature Importance')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "pred = model.predict(x_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "submission = pd.DataFrame()\n",
    "submission['User_ID'] = x_test['User_ID']\n",
    "submission['Purchase'] = pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "submission.to_csv('submission.csv', index=False)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}