format_data.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from pandas.api.types import CategoricalDtype"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'age': ['continuous'], 'workclass': ['Private', 'Self-emp-not-inc', 'Self-emp-inc', 'Federal-gov', 'Local-gov', 'State-gov', 'Without-pay', 'Never-worked'], 'fnlwgt': ['continuous'], 'education': ['Bachelors', 'Some-college', '11th', 'HS-grad', 'Prof-school', 'Assoc-acdm', 'Assoc-voc', '9th', '7th-8th', '12th', 'Masters', '1st-4th', '10th', 'Doctorate', '5th-6th', 'Preschool'], 'education-num': ['continuous'], 'marital-status': ['Married-civ-spouse', 'Divorced', 'Never-married', 'Separated', 'Widowed', 'Married-spouse-absent', 'Married-AF-spouse'], 'occupation': ['Tech-support', 'Craft-repair', 'Other-service', 'Sales', 'Exec-managerial', 'Prof-specialty', 'Handlers-cleaners', 'Machine-op-inspct', 'Adm-clerical', 'Farming-fishing', 'Transport-moving', 'Priv-house-serv', 'Protective-serv', 'Armed-Forces'], 'relationship': ['Wife', 'Own-child', 'Husband', 'Not-in-family', 'Other-relative', 'Unmarried'], 'race': ['White', 'Asian-Pac-Islander', 'Amer-Indian-Eskimo', 'Other', 'Black'], 'sex': ['Female', 'Male'], 'capital-gain': ['continuous'], 'capital-loss': ['continuous'], 'hours-per-week': ['continuous'], 'native-country': ['United-States', 'Cambodia', 'England', 'Puerto-Rico', 'Canada', 'Germany', 'Outlying-US(Guam-USVI-etc)', 'India', 'Japan', 'Greece', 'South', 'China', 'Cuba', 'Iran', 'Honduras', 'Philippines', 'Italy', 'Poland', 'Jamaica', 'Vietnam', 'Mexico', 'Portugal', 'Ireland', 'France', 'Dominican-Republic', 'Laos', 'Ecuador', 'Taiwan', 'Haiti', 'Columbia', 'Hungary', 'Guatemala', 'Nicaragua', 'Scotland', 'Thailand', 'Yugoslavia', 'El-Salvador', 'Trinadad&Tobago', 'Peru', 'Hong', 'Holand-Netherlands'], 'target': ['>50K', '<=50K']}\n"
     ]
    }
   ],
   "source": [
    "# get feature names and categories from adult.names\n",
    "with open('data/adult.names', 'rb') as f:\n",
    "    text = f.read().decode('utf-8')\n",
    "\n",
    "features = text.split('\\n\\n')[-1] # last section\n",
    "features = [feature.split(':') for feature in features.split('\\n')[:-1]] # split into name and categories\n",
    "features = {name: options.split(', ') for name, options in features}\n",
    "for feature in features.keys():\n",
    "    for category in range(len(features[feature])):\n",
    "        features[feature][category] = features[feature][category].strip().replace('.', '')\n",
    "\n",
    "# add target feature\n",
    "features['target'] = ['>50K', '<=50K']\n",
    "\n",
    "print(features)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [],
   "source": [
    "def getData(file: str, features: dict=features) -> pd.DataFrame:\n",
    "    \"\"\"Reads Adult dataset from file and returns a pandas DataFrame\"\"\"\n",
    "    df = pd.read_csv(file, header=None, names=list(features.keys()), index_col=False)\n",
    "    if df.isna().sum(axis=1).iloc[0] > 3:\n",
    "        df = pd.read_csv(file, header=None, names=list(features.keys()), index_col=False, skiprows=1)\n",
    "\n",
    "    # convert columns to correct dtypes using categories\n",
    "    for feature in features.keys(): # iterate over features\n",
    "        if features[feature][0] != 'continuous': # only categorical\n",
    "            df[feature] = df[feature].apply(lambda x: x.replace('.', '').strip()) # strip whitespace from categorical features\n",
    "            df[feature] = df[feature].astype(CategoricalDtype(categories=features[feature])) # convert to categorical dtype using categories\n",
    "\n",
    "    return df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train shape: (32561, 15)\n"
     ]
    },
    {
     "data": {
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       "    }\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>age</th>\n",
       "      <th>workclass</th>\n",
       "      <th>fnlwgt</th>\n",
       "      <th>education</th>\n",
       "      <th>education-num</th>\n",
       "      <th>marital-status</th>\n",
       "      <th>occupation</th>\n",
       "      <th>relationship</th>\n",
       "      <th>race</th>\n",
       "      <th>sex</th>\n",
       "      <th>capital-gain</th>\n",
       "      <th>capital-loss</th>\n",
       "      <th>hours-per-week</th>\n",
       "      <th>native-country</th>\n",
       "      <th>target</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>39</td>\n",
       "      <td>State-gov</td>\n",
       "      <td>77516</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Never-married</td>\n",
       "      <td>Adm-clerical</td>\n",
       "      <td>Not-in-family</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>2174</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>50</td>\n",
       "      <td>Self-emp-not-inc</td>\n",
       "      <td>83311</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Exec-managerial</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>13</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>38</td>\n",
       "      <td>Private</td>\n",
       "      <td>215646</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Divorced</td>\n",
       "      <td>Handlers-cleaners</td>\n",
       "      <td>Not-in-family</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>53</td>\n",
       "      <td>Private</td>\n",
       "      <td>234721</td>\n",
       "      <td>11th</td>\n",
       "      <td>7</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Handlers-cleaners</td>\n",
       "      <td>Husband</td>\n",
       "      <td>Black</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>28</td>\n",
       "      <td>Private</td>\n",
       "      <td>338409</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Prof-specialty</td>\n",
       "      <td>Wife</td>\n",
       "      <td>Black</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>Cuba</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   age         workclass  fnlwgt  education  education-num  \\\n",
       "0   39         State-gov   77516  Bachelors             13   \n",
       "1   50  Self-emp-not-inc   83311  Bachelors             13   \n",
       "2   38           Private  215646    HS-grad              9   \n",
       "3   53           Private  234721       11th              7   \n",
       "4   28           Private  338409  Bachelors             13   \n",
       "\n",
       "       marital-status         occupation   relationship   race     sex  \\\n",
       "0       Never-married       Adm-clerical  Not-in-family  White    Male   \n",
       "1  Married-civ-spouse    Exec-managerial        Husband  White    Male   \n",
       "2            Divorced  Handlers-cleaners  Not-in-family  White    Male   \n",
       "3  Married-civ-spouse  Handlers-cleaners        Husband  Black    Male   \n",
       "4  Married-civ-spouse     Prof-specialty           Wife  Black  Female   \n",
       "\n",
       "   capital-gain  capital-loss  hours-per-week native-country target  \n",
       "0          2174             0              40  United-States  <=50K  \n",
       "1             0             0              13  United-States  <=50K  \n",
       "2             0             0              40  United-States  <=50K  \n",
       "3             0             0              40  United-States  <=50K  \n",
       "4             0             0              40           Cuba  <=50K  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test shape: (16281, 15)\n"
     ]
    },
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>age</th>\n",
       "      <th>workclass</th>\n",
       "      <th>fnlwgt</th>\n",
       "      <th>education</th>\n",
       "      <th>education-num</th>\n",
       "      <th>marital-status</th>\n",
       "      <th>occupation</th>\n",
       "      <th>relationship</th>\n",
       "      <th>race</th>\n",
       "      <th>sex</th>\n",
       "      <th>capital-gain</th>\n",
       "      <th>capital-loss</th>\n",
       "      <th>hours-per-week</th>\n",
       "      <th>native-country</th>\n",
       "      <th>target</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>25</td>\n",
       "      <td>Private</td>\n",
       "      <td>226802</td>\n",
       "      <td>11th</td>\n",
       "      <td>7</td>\n",
       "      <td>Never-married</td>\n",
       "      <td>Machine-op-inspct</td>\n",
       "      <td>Own-child</td>\n",
       "      <td>Black</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>38</td>\n",
       "      <td>Private</td>\n",
       "      <td>89814</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Farming-fishing</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>50</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>28</td>\n",
       "      <td>Local-gov</td>\n",
       "      <td>336951</td>\n",
       "      <td>Assoc-acdm</td>\n",
       "      <td>12</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Protective-serv</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&gt;50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>44</td>\n",
       "      <td>Private</td>\n",
       "      <td>160323</td>\n",
       "      <td>Some-college</td>\n",
       "      <td>10</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Machine-op-inspct</td>\n",
       "      <td>Husband</td>\n",
       "      <td>Black</td>\n",
       "      <td>Male</td>\n",
       "      <td>7688</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&gt;50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>18</td>\n",
       "      <td>NaN</td>\n",
       "      <td>103497</td>\n",
       "      <td>Some-college</td>\n",
       "      <td>10</td>\n",
       "      <td>Never-married</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Own-child</td>\n",
       "      <td>White</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>30</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   age  workclass  fnlwgt     education  education-num      marital-status  \\\n",
       "0   25    Private  226802          11th              7       Never-married   \n",
       "1   38    Private   89814       HS-grad              9  Married-civ-spouse   \n",
       "2   28  Local-gov  336951    Assoc-acdm             12  Married-civ-spouse   \n",
       "3   44    Private  160323  Some-college             10  Married-civ-spouse   \n",
       "4   18        NaN  103497  Some-college             10       Never-married   \n",
       "\n",
       "          occupation relationship   race     sex  capital-gain  capital-loss  \\\n",
       "0  Machine-op-inspct    Own-child  Black    Male             0             0   \n",
       "1    Farming-fishing      Husband  White    Male             0             0   \n",
       "2    Protective-serv      Husband  White    Male             0             0   \n",
       "3  Machine-op-inspct      Husband  Black    Male          7688             0   \n",
       "4                NaN    Own-child  White  Female             0             0   \n",
       "\n",
       "   hours-per-week native-country target  \n",
       "0              40  United-States  <=50K  \n",
       "1              50  United-States  <=50K  \n",
       "2              40  United-States   >50K  \n",
       "3              40  United-States   >50K  \n",
       "4              30  United-States  <=50K  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "adultTrain = getData('data/adult.data', features)\n",
    "adultTest = getData('data/adult.test', features)\n",
    "print('Train shape:', adultTrain.shape)\n",
    "display(adultTrain.head())\n",
    "print('Test shape:', adultTest.shape)\n",
    "display(adultTest.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {},
   "outputs": [],
   "source": [
    "adultTrain['set'] = 'train'\n",
    "adultTest['set'] = 'test'\n",
    "\n",
    "combined = pd.concat([adultTrain, adultTest])\n",
    "combined.to_parquet('data/formatted_data.parquet')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# EDA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>age</th>\n",
       "      <th>workclass</th>\n",
       "      <th>fnlwgt</th>\n",
       "      <th>education</th>\n",
       "      <th>education-num</th>\n",
       "      <th>marital-status</th>\n",
       "      <th>occupation</th>\n",
       "      <th>relationship</th>\n",
       "      <th>race</th>\n",
       "      <th>sex</th>\n",
       "      <th>capital-gain</th>\n",
       "      <th>capital-loss</th>\n",
       "      <th>hours-per-week</th>\n",
       "      <th>native-country</th>\n",
       "      <th>target</th>\n",
       "      <th>set</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>39</td>\n",
       "      <td>State-gov</td>\n",
       "      <td>77516</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Never-married</td>\n",
       "      <td>Adm-clerical</td>\n",
       "      <td>Not-in-family</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>2174</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>50</td>\n",
       "      <td>Self-emp-not-inc</td>\n",
       "      <td>83311</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Exec-managerial</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>13</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>38</td>\n",
       "      <td>Private</td>\n",
       "      <td>215646</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Divorced</td>\n",
       "      <td>Handlers-cleaners</td>\n",
       "      <td>Not-in-family</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>53</td>\n",
       "      <td>Private</td>\n",
       "      <td>234721</td>\n",
       "      <td>11th</td>\n",
       "      <td>7</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Handlers-cleaners</td>\n",
       "      <td>Husband</td>\n",
       "      <td>Black</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>28</td>\n",
       "      <td>Private</td>\n",
       "      <td>338409</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Prof-specialty</td>\n",
       "      <td>Wife</td>\n",
       "      <td>Black</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>Cuba</td>\n",
       "      <td>&lt;=50K</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16276</th>\n",
       "      <td>39</td>\n",
       "      <td>Private</td>\n",
       "      <td>215419</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Divorced</td>\n",
       "      <td>Prof-specialty</td>\n",
       "      <td>Not-in-family</td>\n",
       "      <td>White</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>36</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16277</th>\n",
       "      <td>64</td>\n",
       "      <td>NaN</td>\n",
       "      <td>321403</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Widowed</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Other-relative</td>\n",
       "      <td>Black</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16278</th>\n",
       "      <td>38</td>\n",
       "      <td>Private</td>\n",
       "      <td>374983</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Prof-specialty</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>50</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16279</th>\n",
       "      <td>44</td>\n",
       "      <td>Private</td>\n",
       "      <td>83891</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Divorced</td>\n",
       "      <td>Adm-clerical</td>\n",
       "      <td>Own-child</td>\n",
       "      <td>Asian-Pac-Islander</td>\n",
       "      <td>Male</td>\n",
       "      <td>5455</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16280</th>\n",
       "      <td>35</td>\n",
       "      <td>Self-emp-inc</td>\n",
       "      <td>182148</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Exec-managerial</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>60</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&gt;50K</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>48842 rows × 16 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "       age         workclass  fnlwgt  education  education-num  \\\n",
       "0       39         State-gov   77516  Bachelors             13   \n",
       "1       50  Self-emp-not-inc   83311  Bachelors             13   \n",
       "2       38           Private  215646    HS-grad              9   \n",
       "3       53           Private  234721       11th              7   \n",
       "4       28           Private  338409  Bachelors             13   \n",
       "...    ...               ...     ...        ...            ...   \n",
       "16276   39           Private  215419  Bachelors             13   \n",
       "16277   64               NaN  321403    HS-grad              9   \n",
       "16278   38           Private  374983  Bachelors             13   \n",
       "16279   44           Private   83891  Bachelors             13   \n",
       "16280   35      Self-emp-inc  182148  Bachelors             13   \n",
       "\n",
       "           marital-status         occupation    relationship  \\\n",
       "0           Never-married       Adm-clerical   Not-in-family   \n",
       "1      Married-civ-spouse    Exec-managerial         Husband   \n",
       "2                Divorced  Handlers-cleaners   Not-in-family   \n",
       "3      Married-civ-spouse  Handlers-cleaners         Husband   \n",
       "4      Married-civ-spouse     Prof-specialty            Wife   \n",
       "...                   ...                ...             ...   \n",
       "16276            Divorced     Prof-specialty   Not-in-family   \n",
       "16277             Widowed                NaN  Other-relative   \n",
       "16278  Married-civ-spouse     Prof-specialty         Husband   \n",
       "16279            Divorced       Adm-clerical       Own-child   \n",
       "16280  Married-civ-spouse    Exec-managerial         Husband   \n",
       "\n",
       "                     race     sex  capital-gain  capital-loss  hours-per-week  \\\n",
       "0                   White    Male          2174             0              40   \n",
       "1                   White    Male             0             0              13   \n",
       "2                   White    Male             0             0              40   \n",
       "3                   Black    Male             0             0              40   \n",
       "4                   Black  Female             0             0              40   \n",
       "...                   ...     ...           ...           ...             ...   \n",
       "16276               White  Female             0             0              36   \n",
       "16277               Black    Male             0             0              40   \n",
       "16278               White    Male             0             0              50   \n",
       "16279  Asian-Pac-Islander    Male          5455             0              40   \n",
       "16280               White    Male             0             0              60   \n",
       "\n",
       "      native-country target    set  \n",
       "0      United-States  <=50K  train  \n",
       "1      United-States  <=50K  train  \n",
       "2      United-States  <=50K  train  \n",
       "3      United-States  <=50K  train  \n",
       "4               Cuba  <=50K  train  \n",
       "...              ...    ...    ...  \n",
       "16276  United-States  <=50K   test  \n",
       "16277  United-States  <=50K   test  \n",
       "16278  United-States  <=50K   test  \n",
       "16279  United-States  <=50K   test  \n",
       "16280  United-States   >50K   test  \n",
       "\n",
       "[48842 rows x 16 columns]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_parquet('data/formatted_data.parquet')\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# make a violin plot where the x axis is the target and the y axis is the age\n",
    "plt.figure(figsize=(7, 4))\n",
    "plt.title('Age distribution by Target')\n",
    "plt.xlabel('Annual Salary')\n",
    "plt.ylabel('Age')\n",
    "plt.violinplot([df[df['target'] == '>50K']['age'], df[df['target'] == '<=50K']['age']], showmeans=True)\n",
    "plt.xticks([1, 2], ['>50K', '<=50K'])\n",
    "plt.savefig('new_figures/age_violin.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Now by hours per week\n",
    "plt.figure(figsize=(7, 4))\n",
    "plt.title('Hours per week distribution by Target')\n",
    "plt.xlabel('Annual Salary')\n",
    "plt.ylabel('Hours per week')\n",
    "plt.violinplot([df[df['target'] == '>50K']['hours-per-week'], df[df['target'] == '<=50K']['hours-per-week']], showmeans=True)\n",
    "plt.xticks([1, 2], ['>50K', '<=50K'])\n",
    "plt.savefig('new_figures/hours_violin.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# education num\n",
    "plt.figure(figsize=(7, 4))\n",
    "plt.title('Education Level Distribution by Target')\n",
    "plt.xlabel('Annual Salary')\n",
    "plt.ylabel('Education Level')\n",
    "plt.violinplot([df[df['target'] == '>50K']['education-num'], df[df['target'] == '<=50K']['education-num']], showmeans=True)\n",
    "plt.xticks([1, 2], ['>50K', '<=50K'])\n",
    "plt.savefig('new_figures/education_violin.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "# fltten column multiindex\n",
    "counts.columns = ['>50K', '<=50K']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "counts = counts.transpose()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "counts.columns = list(counts.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# how categrical distributino with respect to the target using heat maps\n",
    "\n",
    "# get the categorical features\n",
    "categorical = [feature for feature in df.columns if df[feature].dtype.name == 'category']\n",
    "\n",
    "# make a heat map for each categorical feature\n",
    "for feature in categorical:\n",
    "    if feature != 'target':\n",
    "        # get the counts of each category\n",
    "        counts = df.groupby([feature, 'target']).size().unstack()\n",
    "        # normalize the counts\n",
    "        counts = counts.div(counts.sum(axis=1), axis=0)\n",
    "        # plot the heatmap\n",
    "        plt.figure(figsize=(20, 10))\n",
    "        # plt.title(f'{feature} Distribution by Target')\n",
    "        plt.xlabel('Annual Salary')\n",
    "        plt.ylabel(feature.capitalize())\n",
    "        plt.imshow(counts, cmap='Blues')\n",
    "        plt.xticks([0, 1], ['>50K', '<=50K'])\n",
    "        plt.yticks(np.arange(len(counts.index)), counts.index)\n",
    "        plt.colorbar()\n",
    "        if feature in ['education', 'occupation', 'relationship']:\n",
    "            plt.savefig(f'new_figures/{feature}_heatmap.png', dpi=300)\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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I5FSce77kuV6UiIiIiAAUcML9+fPnsWfPnjwX1t63b58kDSMiIqKSqzhPuFe752vnzp3w9PTE9evXsX//fqSlpeH69es4ceKExi8/JSIiopJBUcBbUaB28jV37lwsW7YMv/zyC4yMjLB8+XLcuHEDvXr1gr29vSbaWCCOjo7KyXrZt8mTJ6vsExkZic8++wylSpVCuXLl4Ovrq9KT98cff0ChUCAuLk657cmTJ3Bzc0OTJk1UthMREZF03v0Oz++tKFB72PHevXvKxbONjY2RlJQEhUKBcePGoVWrVpg1a5bkjcz25MkTlC9fHgYG+Wv2999/j2HDhinvm5v/r1ZORkYGvL298dFHHyE0NBSxsbHw8fGBEAIrV67M83j37t2Dl5cXqlevjr1798LMTL46UERERCVJQdZqVHd/bVG756tMmTJITEwEAFSqVAl///03ACAuLg5v3ryRtnXv2LhxIypXroxvvvkG165d+9f9S5cujQoVKihvOZOv4OBgXL9+HT/++CPq1auHNm3aYMmSJdi4cSMSEhJyHevq1ato0qQJGjZsiIMHDzLxIiIi0qDi3POldvLVtGlT5erfvXr1wpgxYzBs2DB88cUXaN26teQNzGnSpElYsWIFbt26hfr166N+/fpYvnw5nj9/nuf+CxYsQNmyZVG3bl3MmTNHZUjxzJkzcHNzg62trXJbu3btkJKSgosXL6oc56+//kLz5s3RvXt37NixA4aGhh9sZ0pKChISElRuREREREABhh1XrVqF5ORkAFkrfRsaGiI0NBTdu3fHtGnTJG9gTiYmJujVqxd69eqFZ8+e4aeffkJAQAAmTJiAjh07wsfHB5999hkMDAwwZswY1K9fH9bW1jh37hymTJmCBw8eYNOmTQCAmJgY2NjYqBzf2toaRkZGiImJUdnerVs39O7dG6tXr85XO+fNm6fR4VciIqKSoIh0ZKmtQMOO2b1Fenp6mDhxIg4dOoSlS5fC2tpa8ga+T/ny5TF27FiEh4fj4MGDOHPmDLp3764cBh03bhyaN2+O2rVrY+jQoVi3bh02b96M2NhY5THy6p4UQuTa3qVLF+zfvx+nTp3KV9umTJmC+Ph45S0qKqoQr5SIiKjk4bAjgMzMTKSnp6tse/r0KWbNmoWJEyciNDRU8sZ9SGJiIrZs2YJWrVrhs88+g5ubGwICAuDq6prn/p9++ikA4O7duwCAChUq5OrhevXqFdLS0nL1iK1fvx5ffPEFOnTogJMnT/5r24yNjWFhYaFyIyIiovzLnnCv7q0oyPew45AhQ2BoaIgNGzYAyEp+PDw8kJycjIoVK2LZsmU4ePAgOnbsqLHGZmRkIDg4GNu3b8eBAwdQuXJlDBgwAFu3bv3XMhfZ61NWrFgRANCoUSPMmTMH0dHRym3BwcEwNjZGgwYNVJ6rUCiwfv166Ovro2PHjvj111/RokUL6V8gERERAeDajgCA06dPY9WqVcr727ZtQ3p6Ou7cuQNLS0tMmjQJixYt0mjyNXfuXCxZsgS9evXCsWPH0Lhx4zz3O3PmDMLCwtCyZUtYWlri/PnzGDduHDp37qxM0tq2bQtXV1f0798fixYtwsuXL/Htt99i2LBhefZUKRQKrFmzBvr6+vD29sbhw4fRqlUrjb1WIiKikqwgRVOLRuqlRvL1+PFjVK1aVXn/+PHj6NGjh7KqvY+PD7Zs2SJ9C3Po378/JkyYABMTkw/uZ2xsjF27dmHWrFlISUmBg4MDhg0bhokTJyr30dfXx6+//oqRI0fC09MTpqam6Nu3LxYvXvze4yoUCqxatQr6+vro1KkTDh06hDZt2kj2+oiIiKj4y3fyZWJigrdv3yrvh4WFYdGiRSqPv379WtrWvcPR0TFf+9WvXx9hYWH/up+9vT1++eWX9z7eokULCCFybV++fDmWL1+er7YQERGR+ri2I4A6depg+/btAIBTp07h6dOnKsNu9+7dU6mZRURERFRQCkXBbkVBvnu+pk2bho4dO2L37t2Ijo7GwIEDlRPVAWD//v3w9PTUSCOJiIioZOGEewAtW7bExYsXERISggoVKqBnz54qj9etWxeffPKJ5A0kIiKikqcgPVlFJPdSr8K9q6vre+toffXVV5I0iIiIiIhzvoiIiIhIEmqv7UhERESkaRx2JEn8eeclDE1TNR5ntv85jcfIlnTnmmyxDOw+li0WAAT90Fm2WF+uPSNbrLzKp2hKzHn5Xhf09OWLBQD6hrKFmjS5t2yxPmo6QbZYMDGXLVTQxjGyxQKAil7T5Qv2Jl7jIUSG5r+73sUJ90REREQy0oP6c6OKylwqJl9ERESkc0p8z5e1tXW+X9DLly8L1SAiIiIihQLQK8lzvvz8/DTcDCIiIqKSIV/Jl4+Pj6bbQURERKSkV4CeL3X315ZCzfl6+/Yt0tLSVLZZWFgUqkFERERExXnOl9oXBiQlJWHUqFEoX748zM3NYW1trXIjIiIiKqzsni91b0WB2snXxIkTceLECaxZswbGxsbYtGkTZs2aBVtbW2zbtk0TbSQiIqISJrvIqrq3okDtYcfDhw9j27ZtaNGiBQYPHoymTZvCxcUFDg4O2LFjB/r166eJdhIREVEJwrUdc3j58iWcnJwAZM3vyi4t0aRJE/z555/Stq6AHj58qBwrznkLCgpS2e/kyZNo0KABTExMUKVKFaxbt07l8ZkzZ6Ju3boq206dOgUrKyuMHj1a1krhREREVDyonXxVqVIFDx8+BAC4urpi9+7dALJ6xKysrKRsG169eoXXr18X+PnHjh1DdHS08taqVSvlYw8ePEDHjh3RtGlTXLp0Cf/5z3/g6+uLn3/++b3H+/XXX9GuXTuMGTMGK1euLDIT+4iIiIoavQLeigK12zlo0CBcuXIFADBlyhTl3K9x48ZhwoTCrwmWnp6OX3/9Fb169ULFihVx7969Ah+rbNmyqFChgvJmZGSkfGzdunWwt7eHn58fatSogaFDh2Lw4MFYvHhxnsf66aef0L17d8yfPx+zZs0qcJuIiIjo33HOVw7jxo1T/n/Lli1x8+ZNXLhwAc7OzqhTp06BG3Lt2jUEBATgxx9/RFpaGnr16oXff/9decyaNWvin3/+ee/zHRwcEBERobKtc+fOSE5ORtWqVTFu3Dh8/vnnysfOnDmDtm3bquzfrl07bN68GWlpaTA0/N+iuatXr8b48eOxefNmfPnllwV+jURERJQ/eijAnC8Ujeyr0Gs72tvbw97evkDPjY2NxY4dO7B161ZERESgQ4cOWLNmDTp16qTSSwUAR44cyVVTLKecyZK5uTmWLl0KT09P6Onp4dChQ+jduzcCAgKUyVNMTAxsbGxUjmFjY4P09HS8ePECFStWBADcuHEDo0aNUivxSklJQUpKivJ+QkJCvp5HREREWQrSk1Vse76+//77Dz4+ffr0fB9r5cqVmDVrFpo2bYq7d+/Czs7uvfs6ODjk+7jlypVT6aFzd3fHq1evsHDhQpUE6t05W9kT6HNur1y5MqysrLBw4UJ06NBBmZR9yLx58zg0SUREVAiscJ/D/v37Ve6npaXhwYMHMDAwgLOzs1rJ11dffQVDQ0MEBATA1dUVPXr0QP/+/dGyZUvo6alORyvIsGNOn376KTZt2qS8X6FCBcTExKjs8+zZMxgYGKBs2bLKbaVLl8axY8fQtm1btGjRAr///jtsbW0/+LqmTJmC8ePHK+8nJCR8MLEkIiKikkPt5OvSpUu5tiUkJGDgwIHo1q2bWseytbXF1KlTMXXqVPz1118ICAhAjx49ULp0afTr1w/9+/dHzZo1Aag37Pi+dufstWrUqBEOHz6ssk9wcDDc3d1zHcva2hrHjh1Du3btlAlYpUqV3hvL2NgYxsbGH2wPERERvZ9CoX7drmI77JgXCwsLfP/99+jUqRP69+9foGM0btwYjRs3xvLly3HgwAEEBARg8eLFuHTpEmrVqqXWsGNAQAAMDQ1Rr1496Onp4fDhw1ixYgUWLFig3Gf48OFYtWoVxo8fj2HDhuHMmTPYvHkzAgMD8zympaUlgoOD0b59e2UCVrly5QK9ViIiIvowzvnKh7i4OMTHxxf6OCYmJujTpw/69OmDJ0+ewNzcvEDHmT17Nv755x/o6+vj448/hr+/v8p8LycnJxw5cgTjxo3D6tWrYWtrixUrVqBHjx7vPaaFhQV+++03dOjQQZmAcTiRiIhIepzzlcOKFStU7gshEB0dje3bt6N9+/aSNQzAv86teh8fHx/4+Pj8637NmzdHeHj4ex+fOXMmZs6cqbKtdOnSCA0NLVC7iIiIKH8U//1P3ecUBWonX8uWLVO5r6enh48++gg+Pj6YMmWKZA0jIiKikos9Xzk8ePBAE+0gIiIiKhEkm/NFREREJBX2fOWQlJSE+fPn4/jx43j27BkyMzNVHr9//75kjSMiIqKSSaFQ5CqGnp/nFAVqJ19Dhw7FyZMn0b9/f1SsWLHIvFAiIiIqOtjzlcPRo0fx66+/wtPTUxPtISIiImKdr5ysra1RpkwZTbSl2MpeMzItOUmWeJmpb2SJAwAiPeXfd5IqVtpb2WIBQNJr+RZEz0yR8d/sv+ejLLFkPD+gpy9fLAAQGbKFSkl6LVsskSHjv1n6h1cmkZKc72dA5nM/I1XjIcR/Y8j5+aGnUKhd4V7d/bVFIdT8S/744484ePAgAgICYGZmpql2FSuPHj1iMVYiIiryoqKiNL66S0JCAiwtLTHv6BWYlCqt1nOTkxIxpUMdxMfHw8LCIt/PW7NmDRYtWoTo6GjUrFkTfn5+aNq06b8+7/Tp02jevDnc3Nxw+fLlfMdTu+dryZIluHfvHmxsbODo6JhrHcQPFS0tqWxtbREVFYXSpUvne45c9mLcUVFRap1ABcFYRS8eYzFWSYsldzzGUiWEQGJiYoGLnxeEXHO+du3ahbFjx2LNmjXw9PTE+vXr0aFDB1y/fh329vbvfV58fDwGDBiA1q1b4+nTp2rFVDv56tq1q7pPKfH09PQK/EvBwsJClg81xiqa8RiLsUpaLLnjMdb/WFpaaqg171GAOV8FKXC/dOlSDBkyBEOHDgUA+Pn54bfffsPatWsxb9689z7v66+/Rt++faGvr48DBw6oFVPt5GvGjBnqPoWIiIhILXpQQE/NbErd/VNTU3Hx4kVMnjxZZXvbtm3x119/vfd5W7Zswb179/Djjz9i9uzZasUEClFkNTU1Nc86Xx/qoiMiIiLKj8Jc7ZiQoHqBhbGxMYyNjXPt/+LFC2RkZMDGxkZlu42NDWJiYvKMcefOHUyePBmnTp2CgUHB0ig9dZ9w+/ZtNG3aFKampnBwcICTkxOcnJzg6OgIJyenAjWCcjM2NsaMGTPyPFkYS/diyR2PsRirpMWSOx5jaV/2nC91bwBgZ2cHS0tL5e1Dw4dA7uKsQog852hnZGSgb9++mDVrFj7++OMCvza1r3b09PSEgYEBJk+enGeR1Tp16hS4MURERFSyZV/tuDTkKkzVvNrxbVIixnvVznVBwft6vlJTU2FmZoY9e/agW7duyu1jxozB5cuXcfLkSZX94+LiYG1tDX39/5W2yczMhBAC+vr6CA4ORqtWrf61nWr3l12+fBkXL15E9erV1X0qERERUb4Ups5Xfi8oMDIyQoMGDRASEqKSfIWEhKBLly659rewsMC1a9dUtq1ZswYnTpzA3r178z0CqHby5erqihcvXqj7NCIiIqJ8k6vC/fjx49G/f3+4u7ujUaNG2LBhAyIjIzF8+HAAwJQpU/D48WNs27YNenp6cHNzU3l++fLlYWJikmv7h6idfC1YsAATJ07E3LlzUatWrVx1vuS83JiIiIiKJz0UoOerALUmevfujdjYWHz//feIjo6Gm5sbjhw5AgcHBwBAdHQ0IiMj1T7uh6g950tPL2uO/vsmp2VkyLfkBhERERUv2XO+Vp34G6bmas75ep2IUa3c1K5wLze1e75+//13TbSDiIiIqERQO/lq3rz5ex9TZ10j0g2pqal48OABnJ2dC1yvhOTz7NmzPOvr1a5dW0stIiLSDD2oXw9L7fpZWlLob9v4+Hjs2LEDmzZtwpUrVzjsWAjh4eEwNDRErVq1AAAHDx7Eli1b4OrqipkzZ8LIyEiyWG/evMHo0aMREBAAIKt+W5UqVeDr6wtbW9tc1X5Juy5evAgfHx/cuHED2TMFFAqFRob7fX194eLiAl9fX5Xtq1atwt27d+Hn5ydZLAB4+vQpvv32Wxw/fhzPnj3DuzMh+JmSPwEBAShXrhy8vb0BABMnTsSGDRvg6uqKwMBA5fwVqcTFxeHcuXN5/hgYMGCApLHkFBcXh7179+LevXuYMGECypQpg/DwcNjY2KBSpUrabl6+HTp0KN/7du7cWYMtKTiFQpHv9ZBzPqcoUHvOV7YTJ07A398f+/btg4ODA3r06IEePXqgXr16UrexxPDw8MDkyZPRo0cP3L9/HzVr1kS3bt1w/vx5eHt7S/qlN2bMGJw+fRp+fn5o3749rl69iipVquDQoUOYMWMGLl26JFksAEhKSsL8+fOVX7Dvfljfv3+/UMevV69evt90hV38fcWKFfne990EpqBq164NFxcXTJo0CTY2Nrleq5RfrJUqVcKhQ4fQoEEDle3h4eHo3LkzHj16JFksAOjQoQMiIyMxatSoPGsH5nW5d0HJnehp+rzPqVq1ali7di1atWqFM2fOoHXr1vDz88Mvv/wCAwMD7Nu3T7JYhw8fRr9+/ZCUlITSpUur/JspFAq8fPlSslhy/g2vXr2KNm3awNLSEg8fPsStW7dQpUoVTJs2Df/88w+2bdsmWSxNn4vZ87P/jS7O1c6e87Xu94gCzfka3rJm8Zrz9ejRI2zduhX+/v5ISkpCr169kJaWhp9//hmurq6aamOJcfv2bdStWxcAsGfPHjRr1gw//fQTTp8+jT59+kiafB04cAC7du3Cp59+qvLB6erqinv37kkWJ9vQoUNx8uRJ9O/fP88v2MLKueB7cnIy1qxZA1dXVzRq1AgAEBYWhoiICIwcObLQsZYtW5av/RQKhWTJ14MHD7Bv3z64uLhIcrwPiY2NzXMBXQsLC42UmQkNDcWpU6eU574mDRw4EJGRkZg2bZpGzsN3afq8zykqKkp5fhw4cACff/45vvrqK3h6eqJFixaSxvrmm28wePBgzJ07F2ZmZpIe+11y/g3Hjx+PgQMHYuHChShd+n9f+h06dEDfvn0ljaXpc/HdJLUoKkydL12X7+SrY8eOCA0NRadOnbBy5Uq0b98e+vr6WLdunSbbV6IIIZRvmGPHjqFTp04AspZJkPpL7/nz5yhfvnyu7UlJSRr5cDt69Ch+/fVXeHp6Sn5sQHXB96FDh8LX1xc//PBDrn2ioqIKHevBgweFPoa6WrdujStXrsiSfLm4uCAoKAijRo1S2X706FFUqVJF8nh2dna5fvVripyJHqD58z4nc3NzxMbGwt7eHsHBwRg3bhwAwMTEBG/fvpU01uPHj+Hr66vxxAuQ9294/vx5rF+/Ptf2SpUqvXedv4KS+1wsqopGKqW+fCdfwcHB8PX1xYgRI1C1alVNtqnEcnd3x+zZs9GmTRucPHkSa9euBZD1Zf/uop+F5eHhgV9//RWjR48G8L9x8o0bNyp7i6RkbW2NMmXKSH7cvOzZswcXLlzItf3LL7+Eu7s7/P39NRI351wsqW3atAk+Pj74+++/4ebmlqu+npRzNsaPH49Ro0bh+fPnymUyjh8/jiVLlkg+3wsA/Pz8MHnyZKxfvx6Ojo6SHz8nORM9QN7z3svLC0OHDkW9evVw+/Zt5dyviIgIyf+u7dq1w4ULFzSSjL9Lzr+hiYlJrgWZAeDWrVv46KOPJI0l97l48uRJLF68GDdu3IBCoUCNGjUwYcIENG3aVLY20P/kO/k6deoU/P394e7ujurVq6N///7o3bu3JttW4vj5+aFfv344cOAApk6dquzl2Lt3Lxo3bixprHnz5qF9+/a4fv060tPTsXz5ckRERODMmTO51rKSwg8//IDp06cjICBA47+WTU1NERoamutHQmhoKExMTCSPt23bNixatAh37twBAHz88ceYMGEC+vfvL1mMv/76C6GhoTh69Giux6SeszF48GCkpKRgzpw5yt5DR0dHrF27VrKJ1NbW1ipJalJSEpydnWFmZpYrsZRy/pCciR4g73m/evVqTJs2DZGRkfj5559RtmxZAFkXa3zxxReFPn7OCdze3t6YMGECrl+/nmexbSl/DMj5N+zSpQu+//577N69G0DWeysyMlI5F1dKcp6LP/74IwYNGoTu3bvD19cXQgj89ddfaN26NbZu3Sr5kKpU5Kpwrw1qT7h/8+YNdu7cCX9/f5w7dw4ZGRlYunQpBg8erDJGTurJyMhAaGgoatWqletXXnJyMvT19XN9wBXWtWvXsHjxYly8eBGZmZmoX78+Jk2apLzasrDenQR/9+5dCCHg6OiY67UUdhJ8TvPnz8fMmTMxdOhQfPrppwCy5nz5+/tj+vTpkl7JuXTpUkybNg2jRo2Cp6cnhBA4ffo0Vq9ejdmzZyuHfgrL0dERnTp1wrRp0yTvBf2Q58+fw9TUFObm5pIeN/sq2/zw8fEpVKy8Er309HSNJXraOO/T09MxZ84cDB48GHZ2dpIc811yTuDW1mdHQkICOnbsiIiICCQmJsLW1hYxMTFo1KgRjhw5glKlShXq+HKfi9lq1KiBr776Ktfn0dKlS7Fx40bcuHFDslhSyJ5wv+nPGzBTc8L9m9eJGNqshs5PuC/w1Y5AVlfs5s2bsX37dsTFxcHLy0uty1tJlYmJCW7cuJHvhTl13axZs/K9b845W1LYvXs3li9frvxQqVGjBsaMGYNevXpJGsfJyQmzZs3K1SMUEBCAmTNnSjY/rHTp0rh8+TKcnZ0lOV5+PH/+HLdu3YJCoUC1atVQrlw52WJLSc5ED9DeeW9ubo6///5blh49TdPmZweQdTV/eHi48kdpmzZtJDmu3OdiNmNjY0REROSaM3r37l24ubkhOTlZslhSyE6+/AuYfA0u7slXtoyMDBw+fBj+/v5MvgrBw8MD8+fPR+vWrTUeK695DUDWr1ZjY2NJa4oVZyYmJvj7779zfajduXMHtWrVkuxDzcfHB02bNsXQoUMlOd6HJCUlYfTo0di2bZvyAhB9fX0MGDAAK1eulHzoR19fH9HR0bkuAImNjUX58uV17jJ4XdW1a1d07doVAwcO1Hisbdu2oXfv3jA2NlbZnpqaip07dxbZOl/F9XW5uLhgwoQJ+Prrr1W2r1+/HosXL1ZOmdAV2cnXllM3C5R8DWpavWQkXySN4OBgTJo0CT/88AMaNGiQq4tbyhNJT0/vgxPDK1eujIEDB2LGjBn5Hm74kCpVquD8+fPKeSjZ4uLiUL9+fUlr9cjJzc0Nffv2xX/+8x+V7bNnz8auXbtw7do1SeLMmTMHfn5+8Pb2znOOjVQlLQDg66+/xrFjx7Bq1SrlFWahoaHw9fWFl5eX8kIQqejp6SEmJiZX8vXkyRM4OztLeqWe3ImenOf9+vXrMXPmTPTr1y/Pzw8p52HJ+XeU828o5+uSM9batWsxduxYDB48GI0bN4ZCoUBoaCi2bt2K5cuX50rKtC07+dpawORrYBFIvriejA5p3749gKwPyZyJkSaqmG/duhVTp07FwIED8cknn0AIgfPnzyMgIADfffcdnj9/jsWLF8PY2DhXYlEQDx8+zLP9KSkpkhftzMjIwLJly7B7925ERkYiNTVV5XEp51LMmjULvXv3xp9//glPT0/lh9rx48eVk3alsGnTJpibm+PkyZO5LoiQsp4YAPz888/Yu3evSm2ojh07wtTUFL169ZIs+couVqtQKJSvL1tGRgb+/PNPVK9eXZJY2d73WzMlJUUjvb1ynvcjRowAkDWP511Sf35kfya969GjR3nWiCsMOf+Gcr4uOc/FESNGoEKFCliyZInyc6lGjRrYtWuXpEWMKf+YfOkQORctDwgIwJIlS1TmQHXu3Bm1atXC+vXrcfz4cdjb22POnDmFSr5yDkP/9ttvKh9gGRkZOH78uORz3GbNmoVNmzZh/PjxmDZtGqZOnYqHDx/iwIEDmD59uqSxevTogbNnz2LZsmU4cOAAhBBwdXXFuXPnJF3tQc7aYm/evMlzUn/58uXx5s0byeJkF6sVQmDdunXQ19dXPmZkZARHR0fJ6gjKnehp47yXo6hm9kR4hUKB1q1bq6wHm5GRgQcPHih/RBaWnH9DOV+XNn50AEC3bt3QrVs3yY+rSVxeiIodMzMzXLlyJVc5hjt37qBOnTp48+YNHjx4gJo1axbqCzd7yDJ7HcKcDA0N4ejoiCVLligLykrB2dkZK1asgLe3t8pE9RUrViAsLAw//fSTZLGKo9atW6Ns2bLYtm2bsjTH27dv4ePjg5cvX+LYsWOSxmvZsiX2798PKysrSY+bU/aX9D///IPKlSvnmeh9//33aNiwoSTxtHHe55ScnKyRsirZE+FnzZqFb775RiVxyP479ujRQ5KeGzn/hnK+LrnPxZwuXryorPPl6uqqs8sBZg87bg+9VaBhx/5NqnHYkdQTFxeHzZs3q7xBBg8eLHmXd+XKlbF582bMnz9fZfvmzZuVl6rHxsbC2tq6UHGyf407OTnh/PnzslwxFxMToyyXYW5ujvj4eABQlmqQWkZGBg4cOKDyb9a5c2eVD9WCGD9+fL73zWuoqaCWL1+O9u3bo3LlyqhTpw4UCgUuX74MExMT/Pbbb5LFAYDo6Gg0adIE3bt3R3R0NPT19eHk5KScOF7Yv2G27J7Dli1bYt++fYU+r/+NNs77jIwMzJ07F+vWrcPTp09x+/Zt5bqEjo6OGDJkSKFjZF9Z6OjoiN69e2skwcsm599Qztcl97kIAM+ePUOfPn3wxx9/wMrKCkIIxMfHo2XLlti5c6fkBWSlUpx7vph86ZALFy6gXbt2MDU1Vc7DWrp0KebMmYPg4GDUr19fsliLFy9Gz549cfToUXh4eEChUOD8+fO4efMm9u7dCyBrqQ2pCunKOWxWuXJlREdHw97eHi4uLsq/3fnz53NdxVRYd+/ehbe3Nx49eoRq1apBCIHbt2/Dzs4Ov/76a6FKQ7y7uPnFixeRkZGBatWqAchaC1RfXz/XAtiF5ebmhjt37uDHH3/EzZs3IYRAnz590K9fP5iamkoW58KFC2jTpg2cnJxgamqK27dvo1+/fkhNTcW3336LzZs347fffpO0fqCcQ/uAvOf9nDlzEBAQgIULF2LYsGHK7bVq1cKyZcskSb6yvVsGYevWrejWrZvkPxIBef+GUpZ3+DdynoujR49GQkICIiIiUKNGDQDA9evX4ePjA19fXwQGBsrWFnUooP7yQkUj9QIgSGc0adJEDBw4UKSlpSm3paWlCR8fH9G0aVPJ4z148EBMmjRJdOvWTXTt2lVMnjxZPHjwQPI4HxITEyNmzZol6TEnTZok5syZI4QQYs+ePcLAwEC4uLgIIyMjMWnSJEljdejQQbRv317ExsYqt7148UK0b99edOzYUbI4S5YsEZ999pl4+fKlctvLly9Fly5dxOLFiyWLI4QQSUlJkh7vfTw9PcXMmTOV97dv3y4aNmwohMh6bXXr1hW+vr6SxMrMzBQrVqwQAwYMELt27RJCCLFt2zZRo0YNUa1aNTFlyhSV951UoqKiRGJiYq7tqamp4uTJk5LGcnZ2FseOHRNCCGFubi7u3bsnhBDixo0bwsrKStJY7zI0NBTXr1+X/LivX78WGzZsEAMHDhTt27cXHTp0EAMHDhQbN24Ur1+/ljxeenq6WLRokfDw8BA2NjbC2tpa5SaF8PBwcf/+feX97du3i8aNG4vKlSsLT09PERgYKEmcnCwsLMS5c+dybT979qywtLSUPF5hxcfHCwDip79uiwNXo9W6/fTXbQFAxMfHa/tlfBCTLx1iYmIibty4kWt7RESEMDU11UKLNO/y5ctCT09PozHCwsLEkiVLxMGDByU/tpmZmbh69Wqu7ZcvXxalSpWSLI6tra34+++/c22/du2aqFixomRxhBCiVKlSol+/fiIoKEhkZGRIeuycTE1NlQmCEEJkZGQIQ0NDERMTI4QQIjg4WNja2koS6/vvvxelS5cWPXr0EBUqVBDz588XZcuWFbNnzxZz584VH330kZg+fboksYQQ4smTJ8LDw0MoFAqhr68vBgwYoJKExcTESH7em5iYiIcPHwohVJOviIgIyc7Fd5OR7JtCoRCWlpaSJikRERHC1tZWWFlZiS5duoivvvpKDBs2THTp0kVYWVmJSpUqiYiICEliZZs2bZqoWLGiWLRokTAxMRE//PCDGDJkiChbtqxYvny5JDHq1asnTpw4IYQQYuPGjcLU1FT4+vqKtWvXirFjxwpzc3OxefNmSWJlMzc3F5cuXcq1PTw8XJQuXVrSWFIoCckXhx11iIWFBSIjI3Nd6RIVFaWRpZtOnTqF9evX4/79+9izZw8qVaqE7du3w8nJCU2aNJEkxtWrVz/4+K1btySJky0tLQ1fffUVpk2bplz0t2HDhhqZvApkVY5OTEzMtf3169eSXi6ekJCAp0+fombNmirbnz17lmf8wti2bRsCAwPRrVs3WFhYoHfv3vjyyy/h4eEhaZzy5csjOjpa+e/09OlTpKenKyfJVq1aVbKyIFu3bsXWrVvRvXt3XLlyBQ0aNEBAQAD69esHAKhevTomTpyoVmX1D5k8eTL09fVx7tw5xMXFYcqUKWjRogVCQkKUc3yExNc61axZE6dOnYKDg4PK9j179kg2sTotLQ3NmzdHz549lduEEBg6dCgmTpyISpUqSRIHAP7v//4PzZo1Q0BAQK73UmpqKgYOHIj/+7//k3T4bseOHdi4cSO8vb0xa9YsfPHFF3B2dkbt2rURFhYmSUmXW7duKacjrFmzBn5+fvjqq6+Uj3t4eCiXipJKq1atMGbMGAQGBsLW1hYA8PjxY4wbN06Wot4FpQcF9NQcSFR3f63RdvZH/zN69GhRuXJlsXPnThEZGSmioqJEYGCgqFy5shgzZoyksfbu3StMTU3F0KFDhbGxsfJX8urVq0WHDh0ki6NQKISenp5QKBS5btnbpe4BsLS0VOlR0aT+/fuLmjVrirCwMJGZmSkyMzPFmTNnhJubm/Dx8ZE0jr29vdizZ4+IiooSUVFRYs+ePcLR0VEMGDBAsjg5JSQkCH9/f+Hl5SUMDAxE1apVJR0iHjNmjHBzcxNHjx4VJ06cEC1bthQtWrRQPh4UFCScnZ0liWVqair++ecf5X1DQ0OVnsSHDx8KMzMzSWIJkdVTefbsWeX95ORk0aVLF1G3bl0RGxurkZ6vQ4cOCUtLSzF//nxhZmYmFi1aJIYOHSqMjIxEcHCwJDHu3LkjPDw8cvXkGRgYSN4LZWpq+sFjXrt2TfIRATMzM+V5UqFCBXHx4kUhhBD37t0TFhYWksQoW7asuHDhghBCiPLly4vLly+rPH737l3JX1dkZKSoV6+eMDQ0FFWqVBHOzs7C0NBQ1K9fX0RFRUkaSwrZPV+7ztwRh6/FqHXbdeZOkej5YvKlQ1JSUoSvr68wMjISenp6Qk9PTxgbG4uxY8eK5ORkSWPVrVtXBAQECCFUhyguXbokbGxsJItTrlw5sXnzZvHw4cM8b7/++qvkX0IDBw4US5YskfSY7/Pq1SvRuXNnoVAohJGRkfLfrmvXriIuLk6yOElJSWLEiBHC2NhYeW4YGRmJESNGaGTuy7siIiJE3bp1Jf23SkxMFL169RIGBgZCoVCIxo0bq8yF+e2338Tu3bslieXk5CSOHj0qhBDi9u3bQk9PT+XYv/76q3B0dJQklhBZQ7e3b99W2ZaWlia6du0qateuLa5evaqR4fagoCDRrFkzUapUKWFqaio8PT3Fb7/9JmmMtLQ0MXHiROHs7CxCQ0OFEJpJvmxtbcWBAwfe+/j+/fslG5bO9vHHH4uwsDAhRNYc3Hnz5gkhhNi5c6f46KOPJInx5ZdfiiFDhgghhOjZs6f47rvvVB6fO3euqFWrliSx3hUcHCxWrFghli9fLkJCQjQSQwrZydfuM3fFL9eeqnXbfeZukUi+OOyoQ4yMjLB8+XLMmzcP9+7dgxACLi4ukq+lB2R1fTdr1izXdgsLC8TFxUkWp0GDBnjy5EmuoZBscXFxkg+/uLi44IcffsBff/2V5zIrUlaDt7KywsGDB3Hnzh3llYGurq651nosLDMzM6xZswaLFi1SOTfefW1SSk5OxqFDh/DTTz8hKCgI5cuXx7fffivZ8c3NzbFr1y4kJycjPT1dpbYSALRt21ayWH379sWAAQPQpUsXHD9+HJMmTcK3336L2NhYKBQKzJkzB59//rlk8apUqYKrV6+q1NEzMDDAnj170LNnT43V92rXrh3atWunkWNnMzAwwIIFC9CuXTv07dsX/fr108jl/cOGDYOPjw++++47eHl5wcbGBgqFAjExMQgJCcHcuXMxduxYSWN269YNx48fR8OGDTFmzBh88cUX2Lx5MyIjIzFu3DhJYixYsACenp5o3rw53N3dsWTJEvzxxx+oUaMGbt26hbCwMOzfv1+SWO/y8vKCl5eXRo6tCQpF1k3d5xQFLLJaQjk7O2P9+vVo06YNSpcujStXrqBKlSrYtm0b5s+fj+vXr0sSZ//+/UhKSsKXX36Z5+OvXr3CoUOHJL3E+0NVrxUKRZFcRzI+Ph4ZGRkoU6aMyvaXL1/CwMBA0mKCwcHB2LFjBw4cOAB9fX18/vnn6NevH5o3by5ZDLllZGRg/vz5CAsLQ5MmTTBp0iTs3LkTEydOxJs3b/DZZ59h1apVkiWzkyZNwuXLl/Osi5aeno4ePXrg8OHDklal18b6qbGxsRg2bBh+//13hIWFKcugSGXBggVYvnw5YmJilAmeEAIVKlTA2LFjMXHiREnjvevs2bM4ffo0XFxcJF0bMy4uDvPnz8fhw4dx//59ZGZmomLFivD09MS4cePg7u4uWaxsx48fx/Hjx/Hs2bNc552/v7/k8Qoju8jq3rB7KKVmkdWk14n4/FNnnS+yyuRLy7p3757vffft2ydZ3IULFyIgIAD+/v7w8vLCkSNH8M8//2DcuHGYPn06Ro0aJVms4iwjIwNbt25974faiRMnJInToUMHfPbZZxg5cqTK9nXr1uHQoUM4cuSIJHGArF42b29v9OvXD97e3rkW8aZ/l56ejjdv3rz3wz8jIwOPHj16b49wQbxvgfKnT5/C3t4eKSkpksWS24MHDxATEwMAqFChguRLMwF5X6xTXMyaNQvff/893N3dUbFixVw9lZrqaSuokpB8cdhRyzRRlDA/Jk6cqKxwnJycjGbNmsHY2BjffvutrIlXVFQUZsyYoXO/vPJrzJgx2Lp1K7y9veHm5qax6spnz57Ns4p9ixYtMHXqVEljxcTEKD+0Hj16BFtbW+VSL8VJYGAgOnfurJGh23/rjXzy5AlmzZolyXmfnzUQHR0dCx3nfby9vbFp0yZUrFhRYzGcnJxyJVxSf3YYGhpi//79GlkF499o8lwEsn6kbd26Ff3799fI8TWFw45UbL158wbXr19HZmYmXF1dc8270bQrV66gfv36yMjIkOyY71uWR6FQwMTEBC4uLujSpUuuIbyCKFeuHLZt24aOHTsW+lgfUqpUKYSFhSmXTcp27do1NGzYUNIFr3OysLDA5cuXi11PAKDd1yblea/tdSRzTluQkyY+OwYNGoRatWqptbSXFDR9LpYtWxbnzp0r1Iobcsru+dp3rmA9X90/Yc8XqSk9PR1//PEH7t27h759+6J06dJ48uQJLCwsNJIYmZmZaWR+Qbacv8rzool5KJcuXUJ4eLhyKR4hBO7cuQN9fX1Ur14da9aswTfffIPQ0FC4uroWKpaRkZHkk+vz4uHhgQ0bNmDlypUq29etWyf58kI5FeffZpp8bXKe99pYR1IO2vjskPNinZw0/T4bOnQofvrpJ6306hWG4r//qfucooA9Xzrkn3/+Qfv27REZGYmUlBTlwrhjx45FcnIy1q1bV6jja2N+mZ6eXp6/yHNSKBSS/nr18/PDqVOnsGXLFuUvn4SEBAwZMgRNmjTBsGHD0LdvX7x9+7bQC0UvWbIE9+/fx6pVqzS6oOvp06fRpk0beHh4KIsiHj9+HOfPn0dwcDCaNm2qkbja6tWQgyZfmzbO+7zExcXByspKozHc3Nxw9OhR2NnZSXpcbfwNtXWxjibOxZy9d5mZmQgICEDt2rVRu3btXPM485rSoE3ZPV8Hz98vUM9XF48q7Pmi/BszZgzc3d1x5coVlSuWunXrhqFDhxb6+NqYX1axYkWsXr0aXbt2zfPxy5cvS95zs2jRIoSEhKi88SwsLDBz5ky0bdsWY8aMwfTp0wtcyuDdJPbEiRM4evQoatasmetDTaok1tPTE2fOnMGiRYuwe/dumJqaonbt2ti8ebNKOQOp/ec//5FkeFYXHT16VFntW2raOO8XLFgAR0dH9O7dGwDQs2dP/Pzzz6hYsSKOHDmCOnXqSBYrMjISdnZ2UCgU+Pvvv5XbhRCIioqCvb19oWNo428o5yLeOWniXLx06ZLK/bp16wKAyr8XAI3+aCys4tzzxeRLh4SGhuL06dO5ltJwcHDA48ePC338LVu2FPoY6mrQoAHCw8Pf+wH6b79sCyI+Ph7Pnj3LNaT4/PlzJCQkAMiqz5Wamlqg47+bxHbr1q1gDVVT3bp1sWPHDlliZZsyZYqs8eQk1RJaedHGeb9+/Xr8+OOPAICQkBAcO3YMQUFB2L17NyZMmIDg4GDJYjk5OSE6OjrXlZUvX76Ek5OTJL1R2vgb5pR9bDmSE02ci1Iuu0TSY/KlQzIzM/P80Hr06JFG1naUw4QJE5CUlPTex11cXCT/kOjSpQsGDx6MJUuWwMPDAwqFAufOncO3336r/CA/d+4cPv744wIdXxtJbE5v375FWlqayjYpu9c///xzuLu7Y/LkySrbFy1ahHPnzmHPnj2SxZLb06dP8e233ypLg7z75S3VEJY2zvvo6Gjl0N8vv/yCXr16oW3btnB0dJR8bVMhRJ5JyevXr2FiYiJJDG38DYGstU0XLVqEO3fuAAA+/vhjTJgwQfIrBeU6FwF56wRKqThf7cjkS4d4eXnBz88PGzZsAJD1i+v169eYMWOGJFfT1atXL9+/4sLDwwsdD8C/zkUqVaqU5MU7169fj3HjxqFPnz5IT08HkHXpv4+PD5YtWwYgayHlTZs2FTrWgwcPkJ6enmvo786dO8orzaTw5s0bTJw4Ebt370ZsbGyux6X8oD558iRmzJiRa3v79u2xePFiyeJow8CBAxEZGYlp06blWe9IKto4762trREVFQU7OzsEBQVh9uzZALISJanOj+x5RAqFAtOmTVNZfSMjIwNnz55VDm8Vljb+hkuXLsW0adMwatQoeHp6QgiB06dPY/jw4Xjx4oVkVe4B+c5FAOjTp0+edQJ3794teZ1AKSmg/jBiEcm9mHzpkmXLlqFly5ZwdXVFcnIy+vbtizt37qBcuXIIDAws9PHf131f3Jibm2Pjxo1YtmwZ7t+/DyEEnJ2dVa4WleoLYuDAgRg8eHCu5Ovs2bPYtGkT/vjjD0niTJgwAb///jvWrFmDAQMGYPXq1Xj8+DHWr1+P+fPnSxIj2+vXr3MNfQNZZQuyh22LqtDQUJw6dUqyf39d0r17d/Tt2xdVq1ZFbGwsOnToACBrbpRUV+RmzyMSQuDatWsq54mRkRHq1Kkj6RJUclu5ciXWrl2LAQMGKLd16dIFNWvWxMyZMyVNvuQ8F+WsEyglPUXWTd3nFAVMvnSIra0tLl++jMDAQISHhyMzMxNDhgxBv379YGpqWujj59WbUZyZm5sjIiJCo8ULL126BE9Pz1zbP/30U0mL1R4+fBjbtm1DixYtMHjwYDRt2hQuLi5wcHDAjh070K9fP8liubm5YdeuXZg+fbrK9p07dxa6NIe22dnZFdvyGcuWLYOjoyOioqKwcOFC5Y+N6OjoXD0eBZU9zDdo0CAsX75cZ4erCio6OhqNGzfOtb1x48aIjo6WNJac52JKSopyFCCntLQ0vH37VpY2FAQn3JNsTE1NMXjwYAwePFiWeBcvXsSNGzegUCjg6uqKevXqyRJXLl9//TUaNmyosVIJCoUCiYmJubZnz7GQSvZEZiBrftfLly8BZE3UHTFihGRxAGDatGno0aMH7t27h1atWgHIKmsRGBhYpOd7AVllSCZPnoz169drtOq7NhgaGubZ6yT14tNA7nmPCQkJOHHiBKpXr47q1atLHk8uLi4u2L17N/7zn/+obN+1a5fkVxXLeS5qq05gYXHOF8nm9u3b+OOPP/JcJ/DdnojCePbsGfr06YM//vgDVlZWEEIolxvauXMnPvroI8liaZOmf1k2bdoU8+bNQ2BgIPT19QFkzX2ZN2+epFcwValSBQ8fPoSDgwNcXV2xe/dufPLJJzh8+LDkdZw6d+6MAwcOYO7cudi7d6+yrMWxY8eK5OLa1tbWKvNpkpKS4OzsDDMzs1ylQbKT2qLs+vXriIyMzHU1r5QLQ/fq1QvNmjXDqFGj8PbtW7i7u+Phw4cQQmDnzp3o0aOHZLHkNGvWLPTu3Rt//vknPD09oVAoEBoaiuPHj2P37t2FPr62zsU5c+agTZs2uHLlSp51Akl+TL50yMaNGzFixAiUK1cOFSpUUHmTKhQKSZOv0aNHIyEhAREREahRowaArA9tHx8f+Pr6SjLHrCRYuHAhmjVrhmrVqiknCJ86dUrZEyCVQYMG4cqVK2jevDmmTJkCb29vrFy5Eunp6RopkOjt7Q1vb2/Jj6sNfn5+2m6CLO7fv49u3brh2rVrKmUYsj9HpOyJ/fPPP5Vzhfbv3w8hBOLi4hAQEIDZs2cX2eSrR48eOHv2LJYtW4YDBw5ACAFXV1ecO3dOklEBbZ2L2qoTWFgKqD+Bvoh0fLHCvS5xcHDAyJEjMWnSJI3HsrS0xLFjx+Dh4aGy/dy5c2jbti3i4uI03gY5hIaGwsPDA8bGxhqL8eTJE6xatQpXrlxRfqiNGjVKo8VJIyMjceHCBTg7O0taPDOn4j4kXdx89tln0NfXx8aNG1GlShWcO3cOsbGx+Oabb7B48WJJV0EwNTXF7du3YWdnhwEDBsDW1hbz589HZGQkXF1d8fr1a8liUcmTXeE+JPwflCqt3rzCpMQEeNV3YIV7yr9Xr16hZ8+essTKzMzM1c0NZM0beXe4syhr0qQJTp48iaSkJDRq1AjW1taSx7C1tcXcuXMlP+77PHr0CJUrV5akinheivOQtL6+fp7FQWNjY1G+fHmNL/ejSWfOnMGJEyfw0UcfQU9PD3p6emjSpAnmzZsHX1/fXBXPC8POzg5nzpxBmTJlEBQUhJ07dwLI+gyTqs6XNsh5fsgZKzw8HIaGhqhVqxYA4ODBg9iyZQtcXV0xc+bMPK9u1gXFuedLT9sNoP/p2bOnbOPvrVq1wpgxY/DkyRPltsePH2PcuHHKOQFFzaJFi1Su6BRCoH379mjZsiU6deqEGjVqICIiQtKYQUFBCA0NVd5fvXo16tati759++LVq1eSxsrm6uqKhw8fauTYgOqQ9MuXL/Hq1Sv8/fffSEhI0NjCwnJ5X0d/SkqKzn4B5VdGRobyCsdy5cop39sODg64deuWpLHGjh2Lfv36oXLlyrC1tUWLFi0AZA1HZn/BF0Vynh9yxvr6669x+/ZtAFnD071794aZmRn27NmDiRMnShpLUooC3ooA9nxp2YoVK5T/7+LigmnTpiEsLAy1atXK1TMl5RffqlWr0KVLFzg6OirXaIuMjEStWrWUS5QUNYGBgSpDtnv37sWff/6JU6dOoUaNGhgwYABmzZolycTZbBMmTMCCBQsAANeuXcP48ePxzTff4MSJExg/frxGquFreqZAUFAQjh07ppwLCGQlfKtXry7wepjalv0+UygU2LRpk0rNt4yMDPz5559F+io9IKtEyNWrV1GlShU0bNgQCxcuhJGRETZs2CD51b4jR45Ew4YNERkZCS8vL+jpZf2Or1KlCubMmSNpLDnIeX5o41y8ffu2sp7Ynj170Lx5c/z00084ffo0+vTpo7PzIllqgjQmu+J6NnNzc5w8eRInT55U2a5QKCRNvuzs7BAeHo6QkBDcvHlTObG0TZs2ksWQ24MHD1C7dm3l/SNHjqBHjx7KOlzfffed5MO6Dx48UNa++vnnn/HZZ59h7ty5CA8Pl2RVAm0ojkPS2e8zIQTWrVunvDIVyCoO6ujoiHXr1mmreZL47rvvlMvxzJ49G506dULTpk1RtmxZ5bCglBo0aJCrTEHt2rUxY8aMPGtl6TI5zw9tnItCCOV799ixY+jUqROArO+BFy9eSBqL8ofJl5Y9ePBAq/G9vLzg5eWl1TZIJS0tTWVi/ZkzZzBmzBjlfVtbW8k/aIyMjPDmzRsAWR9q2ZWxy5Qpo7Fq8P/5z380Opk/e0g6MDAQtra2AIr+kHT2+6xly5bYt2+fRub+aVu7du2U/1+lShVcv34dL1++zFXeQJNevnyJgIAA+Pv7yxJPKnKeH9o4F93d3TF79my0adMGJ0+exNq1a5VtsbGx0Xj8AitAna8i0vHF5Kuk8vX1hYuLS67etFWrVuHu3bs62w39IS4uLvjzzz9RpUoVREZG4vbt2yp1qR49eoSyZctKGrNJkyYYP348PD09ce7cOezatQtAVjd/5cqVJY2VbcqUKRo5brbiOCQ9evRo9OrVSyMLMWtbfgsyS5EQHTp06IOP379/v9AxtEnO8yM71qtXrxAQEIA7d+7A1tYWPj4+kn92+Pn5oV+/fjhw4ACmTp2qXG5q7969Ot1LWZwn3LPUhA75/PPP4e7ujsmTJ6tsX7RoEc6dOydpdfFKlSrh0KFDuYYNwsPD0blzZzx69EiyWHJZv349vvnmG/Tu3RthYWGwtLTEX3/9pXx89uzZOHv2LA4fPixZzMjISIwcORJRUVHw9fXFkCFDAADjxo1DRkaGypy+wpDz3MhWnIak9fT0oFAo4OzsjCFDhsDHxwcVKlTQdrMkoaenBwcHB9SrV++D8wH3798vSaycNcTyolAoiuxVo3K8z2xtbXHt2jWULVsWDx48UCY/tWrVwo0bN5CYmIiwsDBZ5iAmJydDX18/z2kG2pRdauLElUiYq1lq4nViAlrVsdf5UhMQpDPKlSsnrl69mmv71atXRfny5SWNZWxsLO7cuZNr+507d4SxsbGkseS0adMm0bVrVzF8+HARHR2t8tiIESPEzz//rKWWFY6c50ZeXr16pfEYmqRQKMSxY8fEmDFjRLly5YShoaHo3LmzOHz4sMjIyNB28wplxIgRwtraWtSpU0csX75cxMbGaiyWra2t2L9//3sfv3TpktDT09NYfE2T432mUCjE06dPhRBC9OnTR7Ro0UIkJSUJIYRITk4WnTp1Ep9//rkksXJ69eqV2Lhxo5g8ebLyHLl48aJ49OiR5LEKKz4+XgAQv1+JEufvx6t1+/1KlAAg4uPjtf0yPoilJnTI69ev87zE2NDQUPL5Qy4uLggKCsq1/ejRoxpbB1HTEhIS0LNnTwQEBGDBggUwMzNDQkKC8jZ//nyN9t54e3tLvvhuNjnPjQULFiiHT4GspWTKli2LSpUq4cqVK5LGklOtWrXg5+eHJ0+e4Mcff0RKSgq6du0KOzs7TJ06FXfv3tV2EwtkzZo1iI6OxqRJk3D48GHY2dmhV69e+O233yS/MrZBgwYIDw9/7+P/1ium6+R8nwHA2bNnMW3aNJiZmQEAjI2N8d133yEsLEzSOFevXkXVqlWxYMECLF68WFlEe//+/RqfxlAY2Ws7qnsrCph86RA3NzeVL71sO3fuVF5RJ5Xx48dj4sSJmDFjhvLqyunTp2Py5MkYN26cpLHkYmVlBWtr63+9acqff/6Jt2/fauTYcp4b69evh52dHYCsoceQkBAcPXoUHTp0wIQJEySNpQ2Ghobo1asXgoKCcP/+fQwbNgw7duxAtWrVtN20AjM2NsYXX3yBkJAQXL9+HTVr1sTIkSPh4OAgabX5CRMmfHCOkIuLS5GeVyfX+yz7AoiUlJRcE95tbGzw/PlzyWIBWZ/3gwYNwp07d1SK4Hbo0AF//vmnpLEofzjhXodMmzYNPXr0wL1799CqVSsAWYufBgYGSj6nZ/DgwUhJScGcOXPwww8/AAAcHR2xdu1a5RV7RU3OD30hBDp27IhNmzahUqVKWmyVNOQ8N6Kjo5XJ1y+//IJevXqhbdu2cHR0RMOGDSWNpW329vaYOXMmZsyYgWPHjmm7OZJQKBTKHiipS4P82xJFpUqVKpKLr2eT633WunVrGBgYICEhAbdv30bNmjWVj0VGRqJcuXKSxQKA8+fPY/369bm2V6pUCTExMZLGklJxnnDP5EuHdO7cGQcOHMDcuXOxd+9e5TqBx44d08gH2ogRIzBixAg8f/4cpqamKsX+iqJ3/0b6+vr49NNPJR9GXbFiBb766iuYmJggMjJSeUWgg4ODxiauynluWFtbIyoqCnZ2dggKCsLs2bMBZCW0RXUitYODg0o9pXcpFIoiXXIlJSUF+/btg7+/P0JDQ9GpUyesWrUK7du3VxZApX8nx/ss5yocAJRDjtkOHz4s6TqcAGBiYpLnsOmtW7d0e7mwYpx98WpHwvz58zF8+HBYWVlpuymSKl26NK5cuSJ58mVgYIAnT56gfPny712frSgbNWoUfvnlF1StWhWXLl3Cw4cPYW5ujl27dmHBggUfnPND8hs5ciR27twJe3t7DBo0CF9++aXkJVWoaPvqq6/w/Plz7N69G2XKlMHVq1ehr6+Prl27olmzZjpXWij7asc/rz0q0NWOzWpV1vmrHZl8ESwsLHD58uUiO9H+fTSVfNnb22PKlCno2LEjnJyccOHChfcOE0i9+PXFixdx48YNKBQKuLq6ol69epIeH8gqVrt8+XJERUVh4MCByhh+fn4wNzfH0KFDJY9JBaenpwd7e3vUq1fvg8VU9+3bJ2OrijY53mdySkhIQMeOHREREYHExETY2toiJiYGjRo1wpEjR1CqVCltN1FFdvJ16u+CJV9N3dRPvtasWYNFixYhOjoaNWvWhJ+f33t7IPft24e1a9fi8uXLSElJQc2aNTFz5kyVQsf/hsmXDsnIyMCyZcuwe/duREZGIjU1VeXxly9faiSuppIUbStdujSuXr0KJycnSY+7YcMGjB49Gunp6e/dRwghab2jZ8+eoU+fPvjjjz9gZWUFIQTi4+PRsmVL7Ny5U7eHDkijBg4cmK8K9ppYZ7S4Ke7vsxMnTiA8PByZmZmoX7++ztbuy06+QguYfDVRM/natWsX+vfvjzVr1sDT0xPr16/Hpk2bcP369Tx/QI8dOxa2trZo2bIlrKyssGXLFixevBhnz57Nd6LO5EuHTJ8+HZs2bcL48eMxbdo0TJ06FQ8fPsSBAwcwffp0Sdd2zKm4JF/du3dXuX/48GG0atUq1686KXoAEhMT8c8//yjng7xvmKdOnTqFjgUAvXv3xr1797B9+3blgtfXr1+Hj48PXFxcEBgYKEkcAAgICEC5cuXg7e0NAJg4cSI2bNgAV1dXBAYGwsHBQbJYRLpEzveZXNLT02FiYoLLly/Dzc1N283JF7mTr4YNG6J+/frKZZcAoEaNGujatSvmzZuXr2PUrFkTvXv3xvTp0/O1Pyfc65AdO3Zg48aN8Pb2xqxZs/DFF1/A2dkZtWvXRlhYmMaSr+vXrxeLKwItLS1V7n/55Zcai1W6dGm4ublhy5Yt8PT0VFlTUhOCgoJw7Ngx5RcCALi6umL16tVo27atpLHmzp2r/BA6c+YMVq1aBT8/P/zyyy8YN24ch6+o2JLzfSYXAwMDODg4FM2LZWSYcJ+amoqLFy/mWtWgbdu2KiukfEhmZiYSExPVWnOXyZcOiYmJQa1atQAA5ubmiI+PBwB06tQJ06ZNkzxeXFwc9u7di3v37mHChAkoU6YMwsPDYWNjUySTMW0Mq/j4+ABQnSNSo0YN1K9fX9I4mZmZeV5JaWhoKHk5gaioKOXabwcOHMDnn3+Or776Cp6enmjRooWksYh0iZzvMzl99913mDJlCn788Ue1EgRtU/z3P3WfAyDX1Z3GxsZ5/kh+8eIFMjIy8qy3lt8yHEuWLEFSUhJ69eqV73byGmQdUrlyZWWFdBcXFwQHBwPIqtEidc/K1atX8fHHHxe5ise65tmzZ2jVqhU8PDzg6+uLUaNGwd3dHa1bt5a0UGKrVq0wZswYPHnyRLnt8ePHGDduHFq3bi1ZHCAr8Y+NjQUABAcHK+eFmJiYaKyILJEukPN9JqcVK1bg1KlTsLW1RbVq1VC/fn2Vm64qTIV7Ozs7WFpaKm//Nnz47rzJ7Hm7/yYwMBAzZ87Erl271LrqnT1fOqRbt244fvw4GjZsiDFjxuCLL77A5s2bERkZKXnV+fHjx2PgwIFYuHAhSpcurdzeoUMH9O3bV9JYxdno0aORkJCAiIiIXHNEfH19JZsjsmrVKnTp0gWOjo7KumKRkZGoVasWfvzxR0liZPPy8sLQoUNRr1493L59Wzn3KyIigvO9qFiT830mp65duxbJpZ8KM+oYFRWlMufrfR0Y5cqVg76+fq5ermfPnuXqDXvXrl27MGTIEOzZs0ftixc44V6HnT17FqdPn4aLiws6d+4s6bEtLS0RHh4OZ2dnlQn3//zzD6pVq4bk5GRJ4xVXlpaWOHbsGDw8PFS2nzt3Dm3btlX2KEolJCQEN2/ehBACrq6uGrlaKS4uDt999x2ioqIwYsQItG/fHkBWcUhDQ0N89913ksck0iXHjh3DjRs3NPo+k8ObN28wYcIEHDhwAGlpaWjdujVWrlwpeQV9qWVPuD9z43GBJtw3qlFJ7Qn3DRo0wJo1a5TbXF1d0aVLl/f2mAUGBmLw4MEIDAxE165d1WojwJ4vnRIbG6u8ai4qKgq//vor3r59C3d3d8ljFdmKxzpG7jkiXl5eykrsUid22aysrLBq1Srl/fj4eOzYsQOHDx/GlStXmHxRsZSZmYmtW7di3759ePjwIRQKBZycnJQlJ/IzBKVrZsyYga1bt6Jfv34wNTXFTz/9hBEjRki+JFlRN378ePTv3x/u7u5o1KgRNmzYgMjISAwfPhwAMGXKFDx+/Bjbtm0DkJV4DRgwAMuXL8enn36q7DUzNTXNdeHXewnSuqtXrwoHBwehp6cnqlWrJi5duiRsbGyEubm5sLCwEPr6+mL//v2Sxhw2bJjo2rWrSE1NFebm5uL+/fvin3/+EfXq1RNjxoyRNFZx1rlzZ9GsWTPx+PFj5bZHjx6J5s2bi65du0oWZ/78+WLnzp3K+z179hR6enrC1tZWXL58WbI4OR0/flz069dPmJqaiurVq4upU6eK8PBwjcQi0qbMzEzh7e0tFAqFqFu3rujTp4/o3bu3qF27tlAoFKJLly7abmKBVKlSRQQGBirvnz17VhgYGIj09HQtturfxcfHCwAi7MYT8fej12rdwm48EQBEfHy8WjFXr14tHBwchJGRkahfv744efKk8jEfHx/RvHlz5f3mzZsLALluPj4++Y7H5EsHtG/fXnTq1EmcOnVKfP3116JSpUpi0KBBIiMjQ2RkZIiRI0eKhg0bShozPj5eeHp6CisrK6Gvry/s7OyEoaGhaNasmXj9+rWksYqzyMhIUa9ePWFoaCiqVKkinJ2dhaGhoahfv76IioqSLI6Tk5M4ffq0EEKI4OBgYWVlJX777TcxZMgQ4eXlJVmcqKgo8cMPPwgnJydRvnx5MWrUKGFgYCAiIiIki0Gka/z9/UXp0qXFiRMncj12/PhxUbp0aREQEKCFlhWOoaGhePTokco2ExMTERkZqaUW5U928nX25hMR8fi1WrezNwuWfMmNc750QLly5XDixAnUrl0br1+/hoWFBc6dO6ccbrx58yY+/fRTjQwzFZWKx7pO03OxTE1Ncfv2bdjZ2WHMmDFITk7G+vXrcfv2bTRs2BCvXr0qdIyOHTsqF2Xu168f2rdvD319fRgaGuLKlStwdXWV4JUQ6Z62bduiVatWuWo9ZZs7dy5OnjyJ3377TeaWFU72RPKcU0k0tfKHlLLnfJ27+aRAc74+qW6r82s7cs6XDnj58iUqVKgAIOsy/1KlSqnUYrG2tkZiYqJGYrdq1QqtWrXSyLGLu5yVo3POxdIEa2trREVFwc7ODkFBQZg9ezaArMuhpSqeGBwcDF9fX4wYMQJVq1aV5JhERcHVq1excOHC9z7eoUMHrFixQsYWSUMIgYEDB6pc6ZecnIzhw4errPyhs4WTZSiyqi1MvnTEu5M55Zjcee7cOfzxxx949uxZrsnhS5cu1Xj8ok7OytHdu3dH3759UbVqVcTGxqJDhw4AgMuXLysLohbWqVOn4O/vD3d3d1SvXh39+/dH7969JTk2kS57+fLlB8sK2NjYSNK7LLfsItA5aXLlD6kVpsiqrmPypSNy/jp595dJSkqK5PHmzp2L7777DtWqVYONjY1KslcUr+rRFrkqRy9btgyOjo6IiorCwoULYW5uDgCIjo7GyJEjJYnRqFEjNGrUCMuXL8fOnTvh7++P8ePHIzMzEyEhIbCzs1OpCUdUXGRkZMDA4P1fh/r6+khPT5exRdLgYuq6i3O+dMCgQYPytZ+UbyQbGxssWLAAAwcOlOyYJVG9evVw9+5dpKWlwcHBIdci3uHh4VpqmTRu3bqFzZs3Y/v27YiLi4OXlxcOHTqk7WYRSUpPTw8dOnR4byHOlJQUBAUFFc31EYug7DlfF25HF2jOl/vHFTnni/6dNn6d6OnpwdPTU/a4xY1claMDAgJQrlw5ZbX5iRMnYsOGDXB1dUVgYKDGKs9Xq1YNCxcuxLx583D48GH4+/trJA6RNuU1PPeuAQMGyNASyqkYT/liz1dJtXDhQjx58gR+fn7abkqRJHfl6GrVqmHt2rVo1aoVzpw5g9atW8PPzw+//PILDAwMdHfCLBGRmrJ7vi7eKVjPV4Oqut/zxeSrhMrMzIS3tzdu374NV1fXXFXa+WX+YRMmTMCaNWtUKke3aNFCY5WjzczMcPPmTdjb22PSpEmIjo7Gtm3bEBERgRYtWki6iDcRkTZlJ1/hd2IKlHzVr1pB55MvDjuWUKNHj8bvv/+Oli1bomzZspxkr6Z9+/Zh8+bN6NOnDwCgX79+8PT0REZGBvT19SWPZ25ujtjYWNjb2yM4OFi50LqJiQnevn0reTwiIq1TAGp/NRWRrzImXyXUtm3b8PPPPyvnEJF6oqKi0LRpU+X9Tz75BAYGBnjy5Ans7Owkj+fl5YWhQ4eiXr16uH37tvLfLSIiQmPzvYiISDP0tN0A0o4yZcrA2dlZ280osjIyMmBkZKSyzcDAQGOXo69evRqNGjXC8+fP8fPPPysXYL948SK++OILjcQkItImRQFvRQHnfJVQW7ZsQVBQELZs2QIzMzNtN6fIyevS9MOHD6NVq1ayVI6Oj4/Hjh07sGnTJly5coWXwBNRsZE95+vSvRiUVnPOV2JiAuo5c84X6agVK1bg3r17sLGxgaOjY64J90W9PpWmaaty9IkTJ+Dv7499+/bBwcEBPXr0wObNmzUel4hIbqxwT8VO165dtd2EIk3O2myPHj3C1q1b4e/vj6SkJPTq1QtpaWn4+eefudg1ERVbigJMuC8q144x+SqhZsyYoe0mUD507NgRoaGh6NSpE1auXIn27dtDX18f69at03bTiIiogJh8lXAXL17EjRs3oFAo4Orqinr16mm7SZRDcHAwfH19MWLECFStWlXbzSEikk1xrnDP5KuEevbsGfr06YM//vgDVlZWEEIgPj4eLVu2xM6dO/HRRx9pu4kE4NSpU/D394e7uzuqV6+O/v37o3fv3tpuFhGR5hXj7IulJkqo0aNHIyEhAREREXj58iVevXqFv//+GwkJCfD19dV28+i/GjVqhI0bNyI6Ohpff/01du7ciUqVKiEzMxMhISFITEzUdhOJiDRCUcD/igKWmiihLC0tcezYMXh4eKhsP3fuHNq2bYu4uDjtNIz+1a1bt7B582Zs374dcXFx8PLywqFDh7TdLCIiSWSXmvj7wTOUVrNcRGJCAtycyut8qQn2fJVQmZmZucpLAIChoSEyMzO10CLKr2rVqmHhwoV49OgRAgMDtd0cIiKNKM5FVpl8lVCtWrXCmDFj8OTJE+W2x48fY9y4cWjdurUWW0b5pa+vj65du7LXi4ioiGHyVUKtWrUKiYmJcHR0hLOzM1xcXODo6IjExESsXLlS280jIqISLrvOl7q3ooBXO5ZQdnZ2CA8PR0hICG7evAkhBGrWrMleLyIi0hHF93JH9nyVMGfPnsXRo0eV9728vGBhYYGlS5fiiy++wFdffYWUlBQttpCIiKh493wx+SphZs6ciatXryrvX7t2DcOGDYOXlxcmT56Mw4cPY968eVpsIRERESfcUzFy+fJllaHFnTt34pNPPsHGjRsxfvx4rFixArt379ZiC4mIiNjzRcXIq1evYGNjo7x/8uRJtG/fXnnfw8MDUVFR2mgaERFRicDkq4SxsbHBgwcPAACpqakIDw9Ho0aNlI8nJibmWf+LiIhITsW5wj2TrxKmffv2mDx5Mk6dOoUpU6bAzMwMTZs2VT5+9epVODs7a7GFREREKNaTvlhqooSZPXs2unfvjubNm8Pc3BwBAQEwMjJSPu7v74+2bdtqsYVERETFudAE13YsseLj42Fubg59fX2V7S9fvoS5ublKQkZERCSX7LUd7z56UaC1HV0ql9P5tR3Z81VCWVpa5rm9TJkyMreEiIgot4LM4eKcLyIiIiLKhT1fREREpHuK8aQvJl9ERESkc4px7sVhRyKSn0KhwIEDB7TdDAwcOBBdu3bVdjOIKA+scE9E9B4DBw6EQqHIdcu5coK2PXz4EAqFApcvX1bZvnz5cmzdulUrbSKif1OQAqtFI/visCMRFVr79u2xZcsWlW3GxsZaak3+ve+qXyLSvoL0ZLHni4hKDGNjY1SoUEHlZm1tDQC4c+cOmjVrBhMTE7i6uiIkJETluX/88QcUCgXi4uKU2y5fvgyFQoGHDx8qt50+fRrNmzeHmZkZrK2t0a5dO7x69QoAEBQUhCZNmsDKygply5ZFp06dcO/ePeVznZycAAD16tWDQqFAixYtAOQedkxJSYGvry/Kly8PExMTNGnSBOfPn8/V1uPHj8Pd3R1mZmZo3Lgxbt26JcWfkYhKCCZfRKQxmZmZ6N69O/T19REWFoZ169Zh0qRJah/n8uXLaN26NWrWrIkzZ84gNDQUn332GTIyMgAASUlJGD9+PM6fP4/jx49DT08P3bp1Q2ZmJgDg3LlzAIBjx44hOjoa+/btyzPOxIkT8fPPPyMgIADh4eFwcXFBu3bt8PLlS5X9pk6diiVLluDChQswMDDA4MGD1X5NRFRycdiRiArtl19+gbm5ucq2SZMmoWHDhrhx4wYePnyIypUrAwDmzp2LDh06qHX8hQsXwt3dHWvWrFFuq1mzpvL/e/ToobL/5s2bUb58eVy/fh1ubm746KOPAABly5ZFhQoV8oyRlJSEtWvXYuvWrcr2bdy4ESEhIdi8eTMmTJig3HfOnDlo3rw5AGDy5Mnw9vZGcnIyTExM1HpdRPR+xXnYkckXERVay5YtsXbtWpVtZcqUwfbt22Fvb69MvACgUaNGah//8uXL6Nmz53sfv3fvHqZNm4awsDC8ePFC2eMVGRkJNze3fMW4d+8e0tLS4OnpqdxmaGiITz75BDdu3FDZt3bt2sr/r1ixIgDg2bNnsLe3z/drIqIPK84V7pl8EVGhlSpVCi4uLrm257V0rOKdn6Z6enq59k1LS1PZx9TU9IPxP/vsM9jZ2WHjxo2wtbVFZmYm3NzckJqamu/XkB3/3fYJIXJtMzQ0VP5/9mPZCR8RSaM493xxzhcRaYyrqysiIyPx5MkT5bYzZ86o7JM9JBgdHa3c9m5JiNq1a+P48eN5xoiNjcWNGzfw3XffoXXr1qhRo4ZyIn627IXis+eI5cXFxQVGRkYIDQ1VbktLS8OFCxdQo0aND7xKItIERQFvRQF7voio0FJSUhATE6OyzcDAAG3atEG1atUwYMAALFmyBAkJCZg6darKfi4uLrCzs8PMmTMxe/Zs3LlzB0uWLFHZZ8qUKahVqxZGjhyJ4cOHw8jICL///jt69uyJMmXKoGzZstiwYQMqVqyIyMhITJ48WeX55cuXh6mpKYKCglC5cmWYmJjkKjNRqlQpjBgxAhMmTECZMmVgb2+PhQsX4s2bNxgyZIiEfy0iKunY80VEhRYUFISKFSuq3Jo0aQI9PT3s378fKSkp+OSTTzB06FDMmTNH5bmGhoYIDAzEzZs3UadOHSxYsACzZ89W2efjjz9GcHAwrly5gk8++QSNGjXCwYMHYWBgAD09PezcuRMXL16Em5sbxo0bh0WLFqk838DAACtWrMD69etha2uLLl265Pk65s+fjx49eqB///6oX78+7t69i99++01ZNoOIZFSMu74UIq9JGURERERakJCQAEtLSzx+FgcLCwu1n1upvBXi4+PVfq6cOOxIREREOqc4T7hn8kVEREQ6pyCjiEUk92LyRURERDqoGGdfnHBPREREJCP2fBEREZHOYYV7IiIiIhklJiaoPYE+MTFBM42RGJMvIiIi0hlGRkaoUKECqjrZFej5FSpUUK5qoatY54uIiIh0SnJyslprs+ZkZGQEExMTiVskLSZfRERERDLi1Y5EREREMmLyRURERCQjJl9EREREMmLyRURERCQjJl9EREREMmLyRURERCQjJl9EREREMvp/5DGxS6IcxBsAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 700x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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XX0+fPsWAAQNw+PDhfI9nZ2cre8si8/X1xZgxY6Crq1voeTo6OtixYwemTZuG9PR02NnZYciQIRg7dqz8HC0tLRw8eBD+/v5wd3dHhQoV0KtXL8yfP7/A+0okEixbtgxaWlr4v//7P+zbtw9t2rQpsc9HRERE73zKDPcfPug2ZcoUTJ06Nc/5z549Q3Z2dp7hRhYWFnkevst19+5dnDlzBrq6utizZw+ePXsGf39/vHjxosjjvpQuvkaNGoWXL1/KW5b27NmDx48fY8aMGViwYIGyt1NKUZv1GjdujPPnz3/0PFtbWxw4cKDA456envkuEL548WIsXry4SFmIiIhIeZL//lP2GgB48OCBQi/Wx8Zhf9jClt/Dd7lycnIgkUiwZcsWGBoaAnjXdfnVV19h+fLlRWr9Urr4OnHiBPbu3YsmTZpAKpXCzs4Obdu2hYGBAWbPno1OnTope0siIiKiEmNgYJDvEKIPmZmZQUtLK08r15MnT/K0huWysrKCtbW1vPACgDp16kAmk+Hhw4eoUaPGR99X6akm0tLSYG5uDgAwMTGRT3Bar149XL58WdnbEREREeWRO+Be2U0Z2tracHFxQVhYmML+sLCwAseVu7u749GjR/j333/l+27fvg2pVIqqVasW7bMpFxOoVasWbt26BQBo2LAhVq1ahYSEBKxcuVL+1CARERHRp1DVPF+BgYFYu3Yt1q1bhxs3biAgIADx8fHw8/MD8G7uzr59+8rP79WrF0xNTTFgwADExsbi9OnTGDNmDAYOHFh6A+5HjRqFxMREAO8GsLVr1w5btmyBtrY2NmzYoOztiIiIiPL4lAH3yvDx8cHz588RFBSExMREODs749ChQ7CzswMAJCYmIj4+Xn5+pUqVEBYWhhEjRsDV1RWmpqbo2bMnZsyYUeT3VLr46t27t/zXjRo1wv3793Hz5k3Y2trCzMxM2dsRERER5VGctRqLu7ajv7+/whKE78uvYal27dp5uiqVUex5vnJVrFgRjRs3/tTbEBEREcmpquVLCEUqvgIDA4t8w+Dg4GKHISIiIlJ3RSq+cpfm+ZjiLmhJRERE9L7iDKAvK3VIkYovsSymTURERJpB47sdiYiIiFRJlQPuVa1YxdelS5fw66+/5ruw9u7du0skGBEREWkuCaDk4kLKny8UpSdZ3b59O9zd3REbG4s9e/YgMzMTsbGxOHHihMJU+0RERETFpapJVoWgdPE1a9YsLFy4EAcOHIC2tjYWL16MGzduoGfPnrC1tS2NjERERERqQ+niKy4uTr54to6ODtLS0iCRSBAQEIDVq1eXeEAiIiLSPKpY21EoShdfJiYmSE1NBQBYW1vjr7/+AgC8evUKr1+/Ltl0REREpJHUudtR6QH3LVu2RFhYGOrVq4eePXvi+++/x4kTJxAWFobWrVuXRkYiIiLSQGWkllKa0sXXsmXL8PbtWwDvVvouX748zpw5g+7du2PSpEklHpCIiIg0j8ZPsvo+ExMT+a+lUinGjh2LsWPHlmgoIiIi0mzFGcNVVsZ8Fbn4ysnJQU5ODsqV+98ljx8/xsqVK5GWlobOnTujRYsWpRKSiIiISF0UufgaNGgQypcvL3+iMTU1FU2aNMHbt29hZWWFhQsXYu/evejYsWOphSUiIiLNoM7djkV+2vHs2bP46quv5K83btyIrKws3LlzB1evXkVgYCDmzZtXKiGJiIhIs0iKuZUFRS6+EhISUKNGDfnr48eP48svv5TPat+vXz9cv3695BMSERGRxsld21HZrSwocvGlq6uLN2/eyF+fP38ezZo1Uzj+77//lmw6IiIi0kgSSfG2sqDIxVeDBg2wadMmAEBERAQeP36Mzz//XH48Li4OVapUKfmEREREpHE4ySqASZMmoWPHjti5cycSExPRv39/WFlZyY/v2bMH7u7upRKSiIiISF0Uufjy8vJCdHQ0wsLCYGlpiR49eigcb9iwIT777LMSD0hERESapzjdiGWk4Uu5SVadnJzg5OSU77GhQ4eWSCAiIiKi4gygLysD7pWe4Z6IiIiotLHli4iIiEiF1HmSVRZfKvQ4OR3ameWFjiFKxk2GCx1B9LoFDhY6gqhV91kqdATxe/lI6ATipqMndALRkmWlq/w9pVBiSob3rikLykpOIiIiIrXAli8iIiISHY3vdjQ2Ni7yB3rx4sUnBSIiIiKSSACpJg+4X7RoUSnHICIiIvofaTGKL2XPF0qRiq9+/fqVdg4iIiIiOY3vdizImzdvkJmZqbDPwMDgkwIRERERqXPLl9JPO6alpWH48OEwNzdHpUqVYGxsrLARERERUcGULr7Gjh2LEydOICQkBDo6Oli7di2mTZuGKlWqYOPGjaWRkYiIiDRM7gz3ym5lgdLdjvv378fGjRvh6emJgQMHomXLlnB0dISdnR22bNmC3r17l0ZOIiIi0iDqvLaj0i1fL168gIODA4B347typ5Zo0aIFTp8+XbLpiIiISCNJi7mVBUrnrFatGu7fvw8AcHJyws6dOwG8axEzMjIqyWxERESkodS521Hp4mvAgAG4evUqAGD8+PHysV8BAQEYM2ZMiQckIiIizSOFRN71WOQNZaP6UnrMV0BAgPzXXl5euHnzJqKiolC9enU0aNCgRMMRERERqZtPXtvR1tYWtra2JZGFiIiICEDxuhHLSrej0sVXUFBQoccnT55c7DBEREREgHpPsqp08bVnzx6F15mZmbh37x7KlSuH6tWrs/giIiKiT/ZuYW1llxcqpTAlTOniKyYmJs++lJQU9O/fH926dSuRUERERKTZ1LnbsUSmxDAwMEBQUBAmTZpUErcjIiIiDZfb7ajsVhaU2Hxkr169QnJyckndjoiIiEgtKd3tuGTJEoXXMpkMiYmJ2LRpE9q3b19iwYiIiEhzSf77T9lrygKli6+FCxcqvJZKpahcuTL69euH8ePHl1gwIiIi0lx82vE99+7dK40cRERERHIsvoiIiIhUSCKRQKL0VBNlo/pSuvhKS0vDnDlzcPz4cTx58gQ5OTkKx+/evVti4YiIiEgzseXrPYMHD8apU6fg6+sLKyurMlNlEhEREYmB0sXX4cOHcfDgQbi7u5dGHiIiIiK1nmRV6eLL2NgYJiYmpZGFiIiICMC7pYWUXV5I2fOFovQkq9OnT8fkyZPx+vXr0shDREREpNIZ7kNCQuDg4ABdXV24uLggIiKiSNedPXsW5cqVQ8OGDZV6P6VbvhYsWIC4uDhYWFjA3t4e5cuXVzh++fJlZW9JREREpKgY3Y7FmWN1x44dGDVqFEJCQuDu7o5Vq1ahQ4cOiI2Nha2tbYHXJScno2/fvmjdujUeP36s1HsqXXx17dpV2UuIiIiIlCKFBFIlqyllzweA4OBgDBo0CIMHDwYALFq0CEePHsWKFSswe/bsAq/79ttv0atXL2hpaeH3339X6j2VLr6mTJmi7CVEREREKpOSkqLwWkdHBzo6OnnOy8jIQHR0NMaNG6ew39vbG+fOnSvw/uvXr0dcXBw2b96MGTNmKJ2v2JOsZmRk5DvPV2FNdERERERF8SlPO9rY2CjsnzJlCqZOnZrn/GfPniE7OxsWFhYK+y0sLJCUlJTve9y5cwfjxo1DREQEypUrXhml9ID727dvo2XLlqhQoQLs7Ozg4OAABwcH2Nvbw8HBoVghStr9+/flM+O+vx05ckThvFOnTsHFxQW6urqoVq0aVq5cqXB86tSpeQbRRUREwMjICCNGjIBMJivtj0JERKSRPmXA/YMHD5CcnCzfPrb29IdzlspksnznMc3OzkavXr0wbdo01KxZs9ifTemSbcCAAShXrhwOHDhQ6pOsvnz5EuXLl0elSpWKdf0ff/yBunXryl+/P0XGvXv30LFjRwwZMgSbN2/G2bNn4e/vj8qVK+PLL7/M934HDx5Ejx49MGbMGEybNq1YmYiIiOjjPmWqCQMDAxgYGHz0fDMzM2hpaeVp5Xry5Eme1jAASE1NRVRUFGJiYjB8+HAAQE5ODmQyGcqVK4djx47h888//+j7Kl18XblyBdHR0ahdu7aylxZJVlYWjh49itDQUOzbtw8XLlxAgwYNinUvU1NTWFpa5nts5cqVsLW1xaJFiwAAderUQVRUFObPn59v8bV161YMGDAA8+bNw8iRI4uVh4iIiIpGFZOsamtrw8XFBWFhYejWrZt8f1hYGLp06ZLnfAMDA1y7dk1hX0hICE6cOIFdu3YVuQdQ6eLLyckJz549U/ayj7p27RpCQ0OxefNmZGZmomfPnjh58qS88Kpbty7++eefAq+3s7PD9evXFfZ17twZb9++RY0aNRAQEICvvvpKfiwyMhLe3t4K57dr1w6//PILMjMzFabQWL58OQIDA/HLL7+gT58+H/0s6enpSE9Pl7/+cOAfERERFU6KYrR8FeNpx8DAQPj6+sLV1RVubm5YvXo14uPj4efnBwAYP348EhISsHHjRkilUjg7Oytcb25uDl1d3Tz7C6N08fXzzz9j7NixmDVrFurVq5dnnq+iNPPlev78ObZs2YINGzbg+vXr6NChA0JCQvB///d/0NbWVjj30KFDyMzMLPBe7+eoVKkSgoOD4e7uDqlUin379sHHxwehoaHy4ikpKSnfAXZZWVl49uwZrKysAAA3btzA8OHDi1x4AcDs2bPZLUlERFQG+Pj44Pnz5wgKCkJiYiKcnZ1x6NAh2NnZAQASExMRHx9fou+pdPHVpk0bAEDr1q0V9ucOTsvOzi7yvZYuXYpp06ahZcuW+Pvvv/M8nfC+3C+hKMzMzBAQECB/7erqipcvX2Lu3LkKBVR+A+w+3F+1alUYGRlh7ty56NChg7woK8z48eMRGBgof52SklLoZyMiIiJFqlzb0d/fH/7+/vke27BhQ6HXTp06Nd8nKQujdPF18uRJZS8p0NChQ1G+fHmEhobCyckJX375JXx9feHl5QWpVPFBzOJ0O76vWbNmWLt2rfy1paVlvgPsypUrB1NTU/k+fX19/PHHH/D29oanpydOnjyJKlWqFPq5CppPhIiIiIpGCuWnZFB6CgeBKF18eXh4FHjsypUrSt2rSpUqmDBhAiZMmIBz584hNDQUX375JfT19dG7d2/4+vrKn1ZUptsxPzExMQqtVm5ubti/f7/COceOHYOrq2ueexkbG+OPP/5Au3bt5AWYtbW1Up+ViIiIii53mihlrykLij3Jaq7k5GRs2bIFa9euxdWrV5Xqdnxf8+bN0bx5cyxevBi///47QkNDMX/+fMTExKBevXpKdTuGhoaifPnyaNSoEaRSKfbv348lS5bg559/lp/j5+eHZcuWITAwEEOGDEFkZCR++eUXbNu2Ld97Ghoa4tixY2jfvr28AKtatWqxPisREREVTgLll2osG6XXJ7TQnThxAn369IGVlRWWLl2Kjh07Iioq6pMD6erq4uuvv8bhw4cRHx+vVNH1vhkzZsDV1RVNmjTB9u3bsW7dOoVxYA4ODjh06BDCw8PRsGFDTJ8+HUuWLClwji/g3cMER48ehYWFBTw9PfHgwYNiZSMiIqLC5c7zpexWFijV8vXw4UNs2LAB69atQ1paGnr27InMzEz89ttvcHJyKvFwHxtbVZB+/fqhX79+Hz3Pw8MDly9fLvB4foPo9PX1cebMmWLlIiIiIipyy1fHjh3h5OSE2NhYLF26FI8ePcLSpUtLMxsRERFpMImSW1lR5JavY8eOYeTIkRg2bBhq1KhRmpmIiIhIw6lyqglVK3LLV0REBFJTU+Hq6oqmTZti2bJlePr0aWlmIyIiIg2V+7SjsltZUOTiy83NDWvWrEFiYiK+/fZbbN++HdbW1sjJyUFYWBhSU1NLMycRERFpEGkxt7JA6ZwVK1bEwIEDcebMGVy7dg2jR4/GnDlzYG5ujs6dO5dGRiIiIiK18UlFYq1atTB37lw8fPiwwPmxiIiIiJSlzt2OnzzJKgBoaWmha9eu6Nq1a0ncjoiIiDScOk+yWiLFFxEREVFJ4vJCRERERCrEhbWJiIiIVEidW77KSpFIREREpBbY8kVERESiwwH3RERERCqkzssLsfgiIiIi0ZFCAqmSbVnKni8UFl9EREQkOmz5IiIiIlIhyX//KXtNWcCnHYmIiIhUiC1fREREJDrsdiQiIiJSIUkxBtyXlW5HFl9EREQkOmz5IiIiIlIhFl9EREREKsSnHYmIiIioRLDli4iIiERHKnm3KXtNWcDii4iIiERHnbsdWXwRERGR6HDAPREREZEKSaB8S1YZqb1YfBEREZH4cMwXfRKZTAYAyHyTJnAS8ZJlZwgdQfQy3/wrdARRk2W9FTqC+GWnC51A3LL4T2JBZFnvfu/k/ntGn4a/01QgNTUVAPDrCG+Bk1BZtuvbNUJHICINl5qaCkNDQ5W8Fwfc0yepUqUKHjx4AH19fUhEMBowJSUFNjY2ePDgAQwMDISOIzr8fgrH7+fj+B0Vjt9P4cT4/chkMqSmpqJKlSoqe08OuKdPIpVKUbVqVaFj5GFgYCCaP9hixO+ncPx+Po7fUeH4/RRObN+Pqlq8ckmg/AD6MlJ7sfgiIiIi8ZFCAqmSTVnSMlJ+sfgiIiIi0VHnli+u7aiBdHR0MGXKFOjo6AgdRZT4/RSO38/H8TsqHL+fwvH7UX8SGZ8bJSIiIpFISUmBoaEh/oj5B3r6yo15S0tNQZtGdkhOThbVeLkPsduRiIiIRIdTTRARERGpUjGmmigjtReLLyIiIhIfdR5wz+KLiIiIxEeNqy8+7UhERESkQiy+NEhGRgZu3bqFrKwsoaMQkYb6+++/cfToUbx58wYAF2qmgkmK+V9ZwG5HDfD69WuMGDECoaGhAIDbt2+jWrVqGDlyJKpUqYJx48YJnFAYgYGBRT43ODi4FJOIV0pKSpHPFfNj3aoQHh4OT09PoWOI1vPnz+Hj44MTJ05AIpHgzp07qFatGgYPHgwjIyMsWLBA6IgkMlzbkcq08ePH4+rVqwgPD0f79u3l+9u0aYMpU6ZobPEVExOj8Do6OhrZ2dmoVasWgHdFqpaWFlxcXISIJwpGRkZFXgw+Ozu7lNOIW/v27WFtbY0BAwagX79+sLGxETqSqAQEBKBcuXKIj49HnTp15Pt9fHwQEBCgscXXvn37inxu586dSzGJ+KjxkC8WX5rg999/x44dO9CsWTOFf0idnJwQFxcnYDJhnTx5Uv7r4OBg6OvrIzQ0FMbGxgCAly9fYsCAAWjZsqVQEQX3/nd0//59jBs3Dv3794ebmxsAIDIyEqGhoZg9e7ZQEUXj0aNH2Lx5MzZs2ICpU6eidevWGDRoELp27QptbW2h4wnu2LFjOHr0KKpWraqwv0aNGvjnn38ESiW8rl27KryWSCQKXbHv/52tcT/gqHH1xTFfGuDp06cwNzfPsz8tLa3IrRrqbsGCBZg9e7a88AIAY2NjzJgxQ2N/IgcADw8P+bZx40YEBwdj9uzZ6Ny5Mzp37ozZs2dj/vz5WL9+vdBRBWdiYoKRI0fi8uXLiIqKQq1atfDdd9/BysoKI0eOxNWrV4WOKKi0tDRUrFgxz/5nz55p9DI6OTk58u3YsWNo2LAhDh8+jFevXiE5ORmHDh1C48aNceTIEaGjqpw6j/li8aUBmjRpgoMHD8pf5xZca9askbdgaLqUlBQ8fvw4z/4nT54gNTVVgETiExkZCVdX1zz7XV1dcfHiRQESiVfDhg0xbtw4fPfdd0hLS8O6devg4uKCli1b4vr160LHE0SrVq2wceNG+WuJRIKcnBzMmzcPXl5eAiYTj1GjRmHx4sVo164dDAwMoK+vj3bt2iE4OBgjR44UOh6VIHY7aoDZs2ejffv2iI2NRVZWFhYvXozr168jMjISp06dEjqeKHTr1g0DBgzAggUL0KxZMwDA+fPnMWbMGHTv3l3gdOJgY2ODlStX5mkJXLVqFcc3/SczMxN79+7FunXrEBYWBldXVyxbtgzffPMNXrx4gR9//BE9evRAbGys0FFVbt68efD09ERUVBQyMjIwduxYXL9+HS9evMDZs2eFjicKcXFxMDQ0zLPf0NAQ9+/fV30gganzgHu2fGmA5s2b4+zZs3j9+jWqV6+OY8eOwcLCApGRkRo9mPx9K1euRKdOndCnTx/Y2dnBzs4OvXv3RocOHRASEiJ0PFFYuHAhQkJC4OzsjMGDB2Pw4MFwdnZGSEgIFi5cKHQ8wY0YMQJWVlbw8/NDzZo1ERMTg8jISAwePBh6enqwsbHBnDlzcPPmTaGjCsLJyQl//vknPvvsM7Rt2xZpaWno3r07YmJiUL16daHjiUKTJk0watQoJCYmyvclJSVh9OjR+OyzzwRMJgxJMbfiCAkJgYODA3R1deHi4oKIiIgCz929ezfatm2LypUrw8DAAG5ubjh69KhS7yeRcZIVtRQYGIjp06dDT08Pp0+fRvPmzVGuHBs6PyYtLQ1xcXGQyWRwdHSEnp6e0JFE5eHDhwgJCcHNmzchk8ng5OQEPz8/tnwBaN26NQYPHowvv/yywAH2WVlZOHv2LDw8PFScjsqCv//+G926dcOtW7dga2sLAIiPj0fNmjXx+++/w9HRUeCEqpGSkgJDQ0Ocuf4QlfSVm8Lm39QUtKhbFcnJyUWe/mbHjh3w9fVFSEgI3N3dsWrVKqxduxaxsbHy/w/vGzVqFKpUqQIvLy8YGRlh/fr1mD9/Pi5cuIBGjRoV6T1ZfKmp8uXL4+HDh7CwsICWlhYSExPzHXRPRKQKDg4O6NOnD/r06SOfzoXykslkCAsLU/gBp02bNhr1cFRu8XX2ekKxii/3utZKFV9NmzZF48aNsWLFCvm+OnXqoGvXrkV+krtu3brw8fHB5MmTi3Q+m0LUlL29PZYsWQJvb2/IZDJERkYqPMn3vlatWqk4nTgoM5Zr9+7dpZik7Hj16hUuXryIJ0+eICcnR+FY3759BUolHM7RVHQjRozAtm3bMHPmTDRq1Ai+vr7w8fGBlZWV0NFERSKRwNvbG61atYKOjo5GFV0f+pQxXx9OEK2jo5PvU7UZGRmIjo7OM9+lt7c3zp07V6T3zMnJQWpqKkxMTIqck8WXmpo3bx78/Pwwe/ZsSCQSdOvWLd/zJBKJ5s0d85/8BrZSwfbv34/evXsjLS0N+vr6Cv8oSCQSjSy+PpyjqSCa/OcsV2BgIAIDA3H79m1s2bIFK1aswJgxY+Dl5YU+ffpo5O+fD+Xk5GDmzJlYuXIlHj9+LF+NZNKkSbC3t8egQYOEjlhmfDgUYsqUKZg6dWqe8549e4bs7GxYWFgo7LewsEBSUlKR3mvBggVIS0tDz549i5yP3Y5q7t9//4WBgQFu3bpVYLcjixAqipo1a6Jjx46YNWtWvvM1ESnr/PnzGDZsGP7880+NL04BICgoCKGhoQgKCsKQIUPw119/oVq1ati5cycWLlyIyMhIoSOqRG63Y2Rs8bod3Zys8eDBA4Vux4Javh49egRra2ucO3dOYeqlmTNnYtOmTR99QGbbtm0YPHgw9u7dizZt2hQ5J1u+1FylSpVw8uRJODg4cMA9fZKEhASMHDmShRd9sosXL2Lr1q3YsWMHkpOT8dVXXwkdSRQ2btyI1atXo3Xr1vDz85Pvr1+/vmY+JfsJM9wbGBgUacyXmZkZtLS08rRyPXnyJE9r2Id27NiBQYMG4ddff1Wq8AJYfKmtlJQU+W+8Ro0a4fXr1wWeq6kLIjdu3BjHjx+HsbExGjVqVOjYisuXL6swmTi1a9cOUVFRqFatmtBRRGPJkiUYOnQodHV1sWTJkkLP1fRJMnO7G7du3Yr79+/Dy8sLc+bMQffu3aGvry90PFFISEjI94nGnJwcZGZmCpBIWMWZsV7Z87W1teHi4oKwsDCF4TlhYWHo0qVLgddt27YNAwcOxLZt29CpUyel3hNg8aW2jI2N5U84FrQ4skwm0+ixKF26dJE3Qxd17I4m69SpE8aMGYPY2FjUq1cP5cuXVziuiQPKFy5ciN69e0NXV7fQuc4kEonGF1+1a9eGq6srvvvuO3z99dewtLQUOpLo1K1bFxEREbCzs1PY/+uvvxZ5CgN1oqpJVgMDA+Hr6wtXV1e4ublh9erViI+Pl7c+jh8/HgkJCfIVGrZt24a+ffti8eLFaNasmbzVrEKFCkUexsMxX2rq1KlTsLa2hqOj40dnseecQ1QUUmnBczJrchFPRXP79m3UrFlT6Biitn//fvj6+mL8+PEICgrCtGnTcOvWLWzcuBEHDhxA27ZthY6oErljvi7efFSsMV+f1a6i1FQTwLtJVufOnYvExEQ4Oztj4cKF8pkA+vfvj/v37yM8PBwA4Onpme+/q/369cOGDRuK9H4svtSYVCqFtbU1vLy85Ju9vb3QsUQtIyMj32kU8ptoj4iopB09ehSzZs1CdHQ0cnJy0LhxY0yePBne3t5CR1MZIYovVWPxpcYiIiJw6tQphIeHIzIyEm/fvoWtrS0+//xzeTFmbW0tdExRuH37NgYNGpRnXhdN75qlopPJZNi1axdOnjyZbwGviXPFmZiY4Pbt2zAzM4OxsXGh4ypfvHihwmQkZvLi61Yxi69a4i++OOZLjbVs2RItW7bExIkTkZmZicjISISHhyM8PBzbtm1Deno6HB0dcevWLaGjCm7AgAEoV64cDhw4ACsrK42e2LAwaWlpOHXqFOLj45GRkaFwTNPHNH3//fdYvXo1vLy8YGFhwd9DeDcmLncw/cKFC/mdkFJUMeBeKGz50jBv3rzBmTNncPToUaxZswb//vsvW3UA6OnpITo6GrVr1xY6imjFxMSgY8eOeP36NdLS0mBiYoJnz56hYsWKMDc3x927d4WOKCgTExNs3rwZHTt2FDoKlSFsHcwrt+Ur6nZisVq+XGtaseWLhPX27VucO3cOJ0+eRHh4OC5dugQHBwd4eHhgxYoVHGz/HycnJzx79kzoGKIWEBCAL774AitWrICRkRHOnz+P8uXLo0+fPvj++++Fjic4Q0NDTsNRiILWmH3+/DnMzc019ofA91sHFy1aJGwYkfmEab5Ejy1faszDwwOXLl1C9erV0apVK3h4eMDDw+OjE8dpivfX/oqKisLEiRMxa9asfKdREPNPUKpiZGSECxcuoFatWjAyMkJkZCTq1KmDCxcuoF+/fpo5CeR7QkNDceTIEaxbtw4VKlQQOo7oSKVSJCUl5Sm+Hj16hOrVq+PNmzcCJROHrKwsbNmyBe3atdP4aThyW76i7xSv5culBlu+SEDnzp2DlZUVvLy84OnpiVatWsHMzEzoWKLx4fxnMpkMrVu3VjiHA+7/p3z58vLvy8LCAvHx8ahTpw4MDQ0RHx8vcDrh9ejRA9u2bYO5uTns7e3zFPCaOlFv7uSzEokEa9euRaVKleTHsrOzcfr0aXb3AyhXrhyGDRuGGzduCB2FVIDFlxp79eoVIiIiEB4ejp9//hnffPMNatasCQ8PD3h6esLDwwOVK1cWOqZgTp48KXSEMqVRo0aIiopCzZo14eXlhcmTJ+PZs2fYtGkT6tWrJ3Q8wfXv3x/R0dHo06cPB9y/J3fyWZlMhpUrV0JLS0t+TFtbG/b29li5cqVQ8USladOmiImJyTPJqqbigHtSC6mpqThz5ox8/NfVq1dRo0YN/PXXX0JHozIgKioKqamp8PLywtOnT9GvXz+cOXMGjo6OWL9+PRo0aCB0REHp6enh6NGjaNGihdBRRMnLywu7d++GsbGx0FFE69dff8W4ceMQEBAAFxcX6OnpKRyvX7++QMlUK7fb8fLfSdBXstsxNTUFjR0t2e1I4qGnpwcTExOYmJjA2NgY5cqVYxP3f9avX49KlSqhR48eCvt//fVXvH79Gv369RMomXi4urrKf125cmUcOnRIwDTiY2NjI+q/7IXGluaP8/HxAaA4bYtEItHY4Q/qPOCexZcay8nJQVRUFMLDw3Hy5EmcPXsWaWlp8lnvly9fDi8vL6FjisKcOXPy7fowNzfH0KFDWXy958mTJ7h16xYkEglq1aql0V3X71uwYAHGjh2LlStXciWJAjx8+BD79u3Ld5644OBggVKJx71794SOIC5qXH2x+FJjRkZGSEtLg5WVFTw9PREcHAwvLy9Ur15d6Gii888//8DBwSHPfjs7Ow4m/09KSgq+++47bN++Xf4TuJaWFnx8fLB8+fIiLyirrvr06YPXr1+jevXqqFixYp4B95oyR1NBjh8/js6dO8PBwQG3bt2Cs7Mz7t+/D5lMhsaNGwsdT3CZmZnw8vLCgQMH4OTkJHQcUVDnMV8svtTYvHnz4OXlxcVsi8Dc3Bx//vlnnhaLq1evwtTUVJhQIjN48GBcuXIFBw4cgJubGyQSCc6dO4fvv/8eQ4YMwc6dO4WOKCjO0VS48ePHY/To0QgKCoK+vj5+++03mJubo3fv3mjfvr3Q8QRXvnx5pKen80ENDcEB90QAxo4di507d2L9+vXylexPnTqFgQMH4quvvsL8+fMFTii8ggaUR0REoH379khLSxMoGZUF+vr6uHLlCqpXrw5jY2OcOXMGdevWxdWrV9GlSxfcv39f6IiCmzNnDm7evIm1a9eiXDnNbRvJHXB/9e7jYg24b1DNggPuicqCGTNm4J9//kHr1q3lf+nl5OSgb9++mDVrlsDpxMHU1DTfrkVDQ0M+wfaBN2/eIDMzU2GfmP8hUAU9PT2kp6cDAKpUqYK4uDjUrVsXALi6xH8uXLiA48eP49ixY6hXr16epx01bXF2NR7yxeKLCHg339COHTswY8YMXLlyBRUqVEC9evU43857Jk6ciMDAQGzcuBFWVlYAgKSkJIwZMwaTJk0SOJ3w0tLS8OOPP2Lnzp14/vx5nuOa9qTah5o1a4azZ8/CyckJnTp1wujRo3Ht2jXs3r0bzZo1EzqeKBgZGeHLL78UOoZ4qHH1xeKL6D01atTAkydP4OrqCh0dHaHjCK5Ro0YKY1Du3LkDOzs72NraAgDi4+Oho6ODp0+f4ttvvxUqpiiMHTsWJ0+eREhICPr27Yvly5cjISEBq1atwpw5c4SOJ7jg4GD8+++/AICpU6fi33//xY4dO+Do6CifiFXTrV+/XugIosIB90QapEOHDrhy5QoXSQbQtWtXoSOUGfv378fGjRvh6emJgQMHomXLlnB0dISdnR22bNmC3r17Cx1RUO//eapYsSJCQkIETENlgQSAss8flI3Si8UXUR58BuV/pkyZInSEMuPFixfy6UoMDAzkU0u0aNECw4YNEzIalSG7du3Czp07850LTVPXB1VHUqEDEFHZ8ODBAzx8+FD++uLFixg1ahRWr14tYCrxqFatmvyJPScnJ/nUG/v374eRkZFwwQRkbGwsX1XjYxu9W4R8wIABMDc3R0xMDD777DOYmpri7t276NChg9DxVE5SzK0sYMsX0QdWrVoFCwsLoWOITq9evTB06FD4+voiKSkJbdq0gbOzMzZv3oykpCRMnjxZ6IiCGjBgAK5evQoPDw+MHz8enTp1wtKlS5GVlaWxs7dz7jPlhISEYPXq1fjmm28QGhqKsWPHolq1apg8ebJGTtIrkRSj27GMVF+c54uIisTY2Bjnz59HrVq1sGTJEuzYsQNnz57FsWPH4Ofnh7t37wodUVTi4+MRFRWF6tWra/yi41Q0FStWxI0bN2BnZwdzc3OEhYWhQYMGuHPnDpo1a5bvU7TqKHeer9j7T6Gv5BQtqSkpcLKvLPp5vtjtSIR30wRMmjQJzZs3h6OjI6pVq6aw0bvlT3KfAP3jjz/QuXNnAEDt2rWRmJgoZDTBmJiYyOeoGjhwIFJTU+XHbG1t0b17dxZe74mLi8PEiRPxzTff4MmTJwCAI0eO4Pr16wInEwdLS0t5gWVnZ4fz588DeLfmoya2k+S2fCm7lQXsdiTCu6VzTp06BV9fX1hZWXGJj3zUrVsXK1euRKdOnRAWFobp06cDAB49eqSxSzBlZGQgJSUFZmZmCA0Nxc8//wx9fX2hY4nSqVOn0KFDB7i7u+P06dOYOXOmfFmvtWvXYteuXUJHFNznn3+O/fv3o3Hjxhg0aBACAgKwa9cuREVFoXv37kLHoxLEbkcivJvc8ODBg3B3dxc6imiFh4ejW7duSElJQb9+/bBu3ToAwE8//YSbN29q3OzbANC2bVs8fvwYLi4uCA0NhY+PDypUqJDvubnfl6Zyc3NDjx49EBgYCH19fVy9ehXVqlXDpUuX0LVrVyQkJAgdUXA5OTnIycmRr7Kxc+dOnDlzBo6OjvDz84O2trbACVUjt9vx5j/F63asbSf+bke2fBHhf09lUcE8PT3x7NkzpKSkKCwnNHToUFSsWFHAZMLZvHkzFi5ciLi4OEgkEiQnJ+Pt27dCxxKla9euYevWrXn2V65cWWPGMn2MVCqFVPq/0UA9e/ZEz549BUwkLHUecM/iiwjA9OnTMXnyZISGhmpsIVEUWlpaedZxtLe3FyaMCFhYWMhnr3dwcMCmTZs0tgv2Y4yMjJCYmCifCy1XTEwMrK2tBUolPm/fvsWff/6JJ0+eICcnR+FY7jhLTcEZ7onU3IIFCxAXFwcLCwvY29ujfPnyCsc5ueG74qKwsXCa/rTjvXv35L9++PAhqlSpotCKoel69eqFH3/8Eb/++iskEglycnJw9uxZ/PDDD+jbt6/Q8UThyJEj6Nu3b74LjUskEs1bH5RrOxKpNy6j83GjRo1SeJ2ZmYmYmBgcOXIEY8aMESaUSDk5OXGJqg/MnDkT/fv3h7W1NWQyGZycnJCdnY1evXph4sSJQscTheHDh6NHjx6YPHky5xqEWtdeHHBPRJ9m+fLliIqK4qLA73l/QDm9W7IrPj4elStXRlJSEi5fvoycnBw0atQINWrUEDqeaBgYGCAmJgbVq1cXOoqgcgfc33nwrFgD7mvYmIl+wD3bxIkATJgwAWFhYXj9+rXQUcqcDh064LfffhM6BomYTCZDjRo1kJCQgGrVquGrr75Cz549WXh94KuvvkJ4eLjQMUSD83wRqbno6GgsXboU6enpaNy4MTw9PeHh4YEWLVqgUqVKQscTtV27dvFJ0Q/89NNP/E7eI5VKUaNGDTx//pwFVyGWLVuGHj16ICIiAvXq1csz9nTkyJECJROGOg+4Z7cj0X+ys7Nx8eJFnDp1CuHh4YiMjMSbN2/QuHFj+UzTmqxRo0YKA+5lMhmSkpLw9OlThISEYOjQoQKmI7E7ePAg5syZgxUrVsDZ2VnoOKK0du1a+Pn5oUKFCjA1NVX48yaRSDTmoZbcbse4hOfF6nasbm0q+m5HtnwR/UdLSwtubm4wMTGBsbEx9PX18fvvvyMuLk7oaKLQpUsXhX8MpFIpKleuDE9PT9SuXVvAZOKQnZ2NDRs24Pjx4/lOE3DixAmBkolDnz598Pr1azRo0ADa2tp5JqPVxIWjPzRx4kQEBQVh3LhxfFIW6j3gnsUXEYAVK1bg1KlTOHXqFLKzs9GyZUt4eHhg0qRJqF+/vtDxBJWSkgIACAwMLPQcMf+UqQrff/89NmzYgE6dOsHZ2ZlLVH1g0aJFQkcQvYyMDPj4+LDw+o86T7LKbkci/K8VZ/To0fDz89P4QuJ9Uqm00EJCJpNp5hxEHzAzM8PGjRvRsWNHoaNQGRUQEIDKlSvjp59+EjqKoHK7He89Kl63o0MVdjsSlQm7d+/G6dOnsX37dkyePBkNGjSAp6cnPD090bJlS40edH/y5En5r2UyGTp27Ii1a9dyVvIPaGtrw9HRUegYZUKnTp2wdu1aWFlZCR1FVLKzszF37lwcPXoU9evXzzPgPjg4WKBkQlF+wH1Z6XhkyxfRB5KTkxEREYFdu3Zh69atkEgkSE9PFzqWaHAOq/wtWLAAd+/exbJly9jl+BH8PZQ/Ly+vAo9JJBKNGTeY2/J1P/GF0q1XKSkpsLcyYcsXUVnx4sUL+ZOO4eHh+Ouvv2BqagoPDw+ho1EZcObMGZw8eRKHDx9G3bp187Ra7N69W6BkVFa838pM6o3FFxGA+vXr4/r16zA1NUWrVq0wZMgQeHp68pF4KjIjIyN069ZN6BiilJWVhS1btqBdu3awtLSEnZ1dnuKU6EPqPOCexRcRgKFDh8LLywvm5uaQSqUwNTUVOpKosVstLy6vVLBy5cph2LBhuHHjBgDgr7/+EjiROKWlpWHOnDkFTleiKfN85VLnSVZZfJHGe/XqFW7cuIGpU6fi5cuXAABjY2N8/fXXmDFjBoyMjIQNKLDu3bsrvH779i38/Pygp6ensJ/dalSYpk2b4sqVK7CzsxM6imgNHjwYp06dgq+vL6ysrPhDjhpj8UUa7cWLF3Bzc0NCQgJ69+6NOnXqQCaT4caNG/IJM8+dOwdjY2OhowrG0NBQ4XWfPn0ESiI+jRs3xvHjx2FsbJxnBYAPXb58WYXJxMff3x+BgYF48OABXFxc8hTvmj6fHgAcPnwYBw8ehLu7u9BRRIHdjkRqKigoCNra2oiLi4OFhUWeY97e3ggKCsLChQsFSig8dqcVrEuXLtDR0QEAdO3aVdgwIufj4wNAcX1CiUTCeeLeY2xszDVB36POM9xzqgnSaPb29li1ahXatWuX7/EjR47Az88P9+/fV20wIjXzzz//FHqc3ZHA5s2bsXfvXoSGhqJixYpCxxFM7lQTD5+8LNZUE1XNjTnVBJGYJSYmom7dugUed3Z2RlJSkgoTkTrw9/dHUFAQzMzMhI4iGiyuPm7BggXyVnh7e/s8T4RqWtc1B9wTqSkzMzPcv38fVatWzff4vXv3+OQjKW3z5s344YcfWHx9YNOmTVi5ciXu3buHyMhI2NnZYdGiRXBwcECXLl2Ejie4Dxev13Qc80Wkptq3b48JEyYgLCwM2traCsfS09MxadIktG/fXqB0VFZxNEdeK1aswOTJkzFq1CjMnDlTPsbLyMgIixYtYvEFYOrUqUJHIBXh0umk0aZNm4Zbt26hRo0amDt3Lvbt24d9+/Zhzpw5qFGjhnwKCiL6NEuXLsWaNWswYcIEaGlpyfe7urri2rVrAiYTnlQqhZaWVp7N2NgYzZo109hpXCTF3MoCtnyRRqtatSoiIyPh7++P8ePHy1ssJBIJ2rZti2XLlsHGxkbglFTWpKamCh1BdO7du4dGjRrl2a+jo4O0tDQBEonHnj178t3/6tUrXLx4EX369EFoaCh69Oih4mQCU+PHHVl8kcZzcHDA4cOH8fLlS9y5cwcA4OjoyEe+SSlaWlpITEyEubm5wv7nz5/D3Nxc46dScHBwyHeS1cOHD8PJyUmgVOJQWJdrv3794OTkhPnz52tc8cUB90QawNjYGJ999pnQMaiMKmicV3p6ep7xhJpozJgx+O677/D27VvIZDJcvHgR27Ztw+zZs7F27Vqh44mat7c3Jk6cKHQMlUtNTVF6AH1qakrphClhLL6IiD7BkiVLALzrql67di0qVaokP5adnY3Tp0+jdu3aQsUTjQEDBiArKwtjx47F69ev0atXL1hbW2Px4sX4+uuvhY4nam/evIGurq7QMVRGW1sblpaWqOFQvCEflpaWov+Bh5OsEhF9AgcHBwDvJhGtWrWqwmBybW1t2NvbIygoCE2bNhUqoug8e/YMOTk5ebpoKX8jRoxAXFwcDh06JHQUlXn79i0yMjKKda22trboi1UWX0REJcDLywu7d+/W6HVAqXgCAwPz3Z+cnIyoqCjExcUhIiIi3wcWqGxi8UVEVMLef2qW3nn8+DF++OEHHD9+HE+ePMkzRk6TH0jw8vLKd7+BgQFq164Nf39/rhCgZlh8ERGVkI0bN2LevHnyp2Zr1qyJMWPGwNfXV+BkwuvQoQPi4+MxfPhwWFlZ5SlMOckqaRIOuCciKgHBwcGYNGkShg8fDnd3d8hkMpw9exZ+fn549uwZAgIChI4oqDNnziAiIgINGzYUOgqR4NjyRURUAhwcHDBt2jT07dtXYX9oaCimTp2Ke/fuCZRMHJycnLBlyxaOWyIClxciIioRiYmJaN68eZ79zZs3R2JiogCJxGXRokUYN24c7t+/L3QUIsGx25GIqAQ4Ojpi586d+OmnnxT279ixAzVq1BAolbCMjY0VxnalpaWhevXqqFixIsqXL69w7osXL1Qdj0gwLL6IiErAtGnT4OPjg9OnT8Pd3R0SiQRnzpzB8ePHsXPnTqHjCWLRokVCRyASJY75IiIqIdHR0QgODsbNmzchk8ng5OSE0aNHc5wTESlg8UVERKWOC48T/Q+7HYmIPoFUKv3oZKoSiQRZWVkqSiROXHic6H9YfBERfYI9e/YUeOzcuXNYunRpgYWHJuDC40R5sduRiKiE3bx5E+PHj8f+/fvRu3dvTJ8+Hba2tkLHEgQXHifKiy1fREQl5NGjR5gyZQpCQ0PRrl07XLlyBc7OzkLHElTu5LK5C49nZWVBKpXC1NRU4GREwuEkq0REnyg5ORk//vgjHB0dcf36dRw/fhz79+/X+MIr16tXr1CnTh3UqFEDlpaWMDc3h5mZGYYPH45Xr14JHY9I5djtSET0CebOnYuff/4ZlpaWmDVrFheI/sCLFy/g5uaGhIQE9O7dG3Xq1IFMJsONGzewdetW2NjY4Ny5czA2NhY6KpHKsPgiIvoEUqkUFSpUQJs2bRTGM31o9+7dKkwlHqNGjcLx48fxxx9/wMLCQuFYUlISvL290bp1ayxcuFCghESqx+KLiOgT9O/f/6NTTQDA+vXrVZBGfOzt7bFq1Sq0a9cu3+NHjhyBn58f13wkjcLii4iISo2Ojg7i4uJQtWrVfI8/fPgQjo6OePv2rYqTEQmHA+6JiKjUmJmZFdqqde/ePT75SBqHxRcREZWa9u3bY8KECcjIyMhzLD09HZMmTUL79u0FSEYkHHY7EhFRqXn48CFcXV2ho6OD7777Tj6bfWxsLEJCQpCeno6oqCjY2NgInJRIdVh8ERFRqbp37x78/f1x7Ngx+VJLEokEbdu2xbJly+Do6ChwQiLVYvFFREQq8fLlS9y5cwcA4OjoCBMTE4ETEQmDxRcRERGRCnHAPREREZEKsfgiIiIiUiEWX0REREQqxOKLiIiISIVYfBFRqbp//z4kEgmuXLkiivsow97eHosWLRJVJiIq+1h8EVGhcheOlkgkKFeuHGxtbTFs2DC8fPmyVN+za9euCvtsbGyQmJgIZ2fnUntfZYkxExGJXzmhAxCR+LVv3x7r169HVlYWYmNjMXDgQLx69Qrbtm1TWQYtLS1YWlqq7P2KQoyZiEj82PJFRB+lo6MDS0tLVK1aFd7e3vDx8cGxY8fkx9evX486depAV1cXtWvXRkhISIH3ys7OxqBBg+Dg4IAKFSqgVq1aWLx4sfz41KlTERoair1798pb3MLDw/Pt4jt16hQ+++wz6OjowMrKCuPGjUNWVpb8uKenJ0aOHImxY8fCxMQElpaWmDp1qkKeqVOnwtbWFjo6OqhSpQpGjhypcPz169cYOHAg9PX1YWtri9WrV8uPfZgpPDwcEokEBw8eRIMGDaCrq4umTZvi2rVrynzdRKTmWHwRkVLu3r2LI0eOoHz58gCANWvWYMKECZg5cyZu3LiBWbNmYdKkSQgNDc33+pycHFStWhU7d+5EbGwsJk+ejJ9++gk7d+4EAPzwww/o2bMn2rdvj8TERCQmJqJ58+Z57pOQkICOHTuiSZMmuHr1KlasWIFffvkFM2bMUDgvNDQUenp6uHDhAubOnYugoCCEhYUBAHbt2oWFCxdi1apVuHPnDn7//XfUq1dP4foFCxbA1dUVMTEx8Pf3x7Bhw3Dz5s1Cv6MxY8Zg/vz5uHTpEszNzdG5c2dkZmYW7QsmIvUnIyIqRL9+/WRaWloyPT09ma6urgyADIAsODhYJpPJZDY2NrKtW7cqXDN9+nSZm5ubTCaTye7duycDIIuJiSnwPfz9/WVffvmlwnt26dJF4ZwP7/PTTz/JatWqJcvJyZGfs3z5clmlSpVk2dnZMplMJvPw8JC1aNFC4T5NmjSR/fjjjzKZTCZbsGCBrGbNmrKMjIx8c9nZ2cn69Okjf52TkyMzNzeXrVixIt9MJ0+elAGQbd++XX7N8+fPZRUqVJDt2LGjwM9PRJqFLV9E9FFeXl64cuUKLly4gBEjRqBdu3YYMWIEnj59igcPHmDQoEGoVKmSfJsxYwbi4uIKvN/KlSvh6uqKypUro1KlSlizZg3i4+OVynTjxg24ublBIpHI97m7u+Pff//Fw4cP5fvq16+vcJ2VlRWePHkCAOjRowfevHmDatWqYciQIdizZ49Ct+WH10skElhaWsqvL4ibm5v81yYmJqhVqxZu3Lih1OcjIvXF4ouIPkpPTw+Ojo6oX78+lixZgvT0dEybNg05OTkA3nU9XrlyRb799ddfOH/+fL732rlzJwICAjBw4EAcO3YMV65cwYABA5CRkaFUJplMplB45e4DoLA/t3s0l0Qikee2sbHBrVu3sHz5clSoUAH+/v5o1aqVQhdhYdcr48OsRKS5+LQjESltypQp6NChA4YNGwZra2vcvXsXvXv3LtK1ERERaN68Ofz9/eX7Pmwl09bWRnZ2dqH3cXJywm+//aZQhJ07dw76+vqwtrYu8mepUKECOnfujM6dO+O7775D7dq1ce3aNTRu3LjI9/jQ+fPnYWtrCwB4+fIlbt++jdq1axf7fkSkXlh8EZHSPD09UbduXcyaNQtTp07FyJEjYWBggA4dOiA9PR1RUVF4+fIlAgMD81zr6OiIjRs34ujRo3BwcMCmTZtw6dIlODg4yM+xt7fH0aNHcevWLZiamsLQ0DDPffz9/bFo0SKMGDECw4cPx61btzBlyhQEBgZCKi1ao/6GDRuQnZ2Npk2bomLFiti0aRMqVKgAOzu74n85AIKCgmBqagoLCwtMmDABZmZmeeYtIyLNxW5HIiqWwMBArFmzBu3atcPatWuxYcMG1KtXDx4eHtiwYYNCMfU+Pz8/dO/eHT4+PmjatCmeP3+u0AoGAEOGDEGtWrXk48LOnj2b5z7W1tY4dOgQLl68iAYNGsDPzw+DBg3CxIkTi/wZjIyMsGbNGri7u6N+/fo4fvw49u/fD1NTU+W+jA/MmTMH33//PVxcXJCYmIh9+/ZBW1v7k+5JROpDIssdJEFERJ8kPDwcXl5eePnyJYyMjISOQ0QixZYvIiIiIhVi8UVERESkQux2JCIiIlIhtnwRERERqRCLLyIiIiIVYvFFREREpEIsvoiIiIhUiMUXERERkQqx+CIiIiJSIRZfRERERCrE4ouIiIhIhf4f56uHkF0iTooAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 700x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Now the same but transposed to be more readable\n",
    "\n",
    "# get the categorical features\n",
    "categorical = [feature for feature in df.columns if df[feature].dtype.name == 'category']\n",
    "\n",
    "# make a heat map for each categorical feature\n",
    "for feature in categorical:\n",
    "    if feature != 'target':\n",
    "        # get the counts of each category\n",
    "        counts = df.groupby([feature, 'target']).size().unstack()\n",
    "        # normalize the counts\n",
    "        counts = counts.div(counts.sum(axis=1), axis=0)\n",
    "        # plot the heatmap\n",
    "        plt.figure(figsize=(7, 4))\n",
    "        # plt.title(f'{feature} Distribution by Target')\n",
    "        plt.ylabel('Annual Salary')\n",
    "        plt.xlabel(feature.capitalize())\n",
    "        plt.imshow(counts.transpose(), cmap='Blues')\n",
    "        plt.xticks(np.arange(len(counts.index)), counts.index, rotation=90)\n",
    "        plt.yticks([0, 1], ['>50K', '<=50K'])\n",
    "        plt.colorbar()\n",
    "        if feature in ['education', 'occupation', 'relationship', 'marital-status']:\n",
    "            plt.savefig(f'new_figures/{feature}_heatmap_transposed.png', dpi=300, bbox_inches='tight')\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "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>age</th>\n",
       "      <th>fnlwgt</th>\n",
       "      <th>education-num</th>\n",
       "      <th>capital-gain</th>\n",
       "      <th>capital-loss</th>\n",
       "      <th>hours-per-week</th>\n",
       "      <th>set</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>39</td>\n",
       "      <td>77516</td>\n",
       "      <td>13</td>\n",
       "      <td>2174</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>50</td>\n",
       "      <td>83311</td>\n",
       "      <td>13</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>13</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>38</td>\n",
       "      <td>215646</td>\n",
       "      <td>9</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>53</td>\n",
       "      <td>234721</td>\n",
       "      <td>7</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>28</td>\n",
       "      <td>338409</td>\n",
       "      <td>13</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16276</th>\n",
       "      <td>39</td>\n",
       "      <td>215419</td>\n",
       "      <td>13</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>36</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16277</th>\n",
       "      <td>64</td>\n",
       "      <td>321403</td>\n",
       "      <td>9</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16278</th>\n",
       "      <td>38</td>\n",
       "      <td>374983</td>\n",
       "      <td>13</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>50</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16279</th>\n",
       "      <td>44</td>\n",
       "      <td>83891</td>\n",
       "      <td>13</td>\n",
       "      <td>5455</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16280</th>\n",
       "      <td>35</td>\n",
       "      <td>182148</td>\n",
       "      <td>13</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>60</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>48842 rows × 7 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "       age  fnlwgt  education-num  capital-gain  capital-loss  hours-per-week  \\\n",
       "0       39   77516             13          2174             0              40   \n",
       "1       50   83311             13             0             0              13   \n",
       "2       38  215646              9             0             0              40   \n",
       "3       53  234721              7             0             0              40   \n",
       "4       28  338409             13             0             0              40   \n",
       "...    ...     ...            ...           ...           ...             ...   \n",
       "16276   39  215419             13             0             0              36   \n",
       "16277   64  321403              9             0             0              40   \n",
       "16278   38  374983             13             0             0              50   \n",
       "16279   44   83891             13          5455             0              40   \n",
       "16280   35  182148             13             0             0              60   \n",
       "\n",
       "         set  \n",
       "0      train  \n",
       "1      train  \n",
       "2      train  \n",
       "3      train  \n",
       "4      train  \n",
       "...      ...  \n",
       "16276   test  \n",
       "16277   test  \n",
       "16278   test  \n",
       "16279   test  \n",
       "16280   test  \n",
       "\n",
       "[48842 rows x 7 columns]"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# select numerical\n",
    "numerical = [feature for feature in df.columns if df[feature].dtype.name != 'category']\n",
    "df[numerical]"
   ]
  }
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