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Created February 11, 2024 10:50
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Telco_customer_churn_analysis.ipynb
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Step 1: Problem Definition"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Based on the introduction the key challenge is to predict if an individual customer will churn or not. To accomplish that, machine learning models are trained based on 80% of the sample data. The remaining 20% are used to apply the trained models and assess their predictive power with regards to \"churn / not churn\". A side question will be, which features actually drive customer churn. That information can be used to identify customer \"pain points\" and resolve them by providing goodies to make customers stay. \n",
"\n",
"To compare models and select the best for this task, the accuracy is measured. Based on other characteristics of the data, for example the balance between classes (number of \"churners\" vs. \"non-churners\" in data set) further metrics are considered if needed."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Step 2: Data Collection"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The data set for this classification problem is taken from Kaggle and stems from the IBM sample data set collection (https://www.kaggle.com/blastchar/telco-customer-churn).\n",
"\n",
"The use case pipeline build-up is started with imports of some basic libraries that are needed throughout the case. This includes Pandas and Numpy for data handling and processing as well as Matplotlib and Seaborn for visualization.\n",
"\n",
"For this exercise, the data set (.csv format) is downloaded to a local folder, read into the Jupyter notebook and stored in a Pandas DataFrame."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"from matplotlib import pyplot as plt\n",
"import seaborn as sns\n",
"%matplotlib inline\n",
"\n",
"df = pd.read_csv('WA_Fn-UseC_-Telco-Customer-Churn.csv')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Step 3: Exploratory Data Analysis"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"After data collection, several steps are carried out to explore the data. Goal of this step is to get an understanding of the data structure, conduct initial preprocessing, clean the data, identify patterns and inconsistencies in the data (i.e. skewness, outliers, missing values) and build and validate hypotheses."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Understanding"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In the first part of EDA the data frame is evaluated for structure, columns included and data types. The goals of this step are to get a general understanding for the data set, check domain knowledge and get first ideas on topics to investigate. In this step some standard Pandas functions are used:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"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>customerID</th>\n",
" <th>gender</th>\n",
" <th>SeniorCitizen</th>\n",
" <th>Partner</th>\n",
" <th>Dependents</th>\n",
" <th>tenure</th>\n",
" <th>PhoneService</th>\n",
" <th>MultipleLines</th>\n",
" <th>InternetService</th>\n",
" <th>OnlineSecurity</th>\n",
" <th>...</th>\n",
" <th>DeviceProtection</th>\n",
" <th>TechSupport</th>\n",
" <th>StreamingTV</th>\n",
" <th>StreamingMovies</th>\n",
" <th>Contract</th>\n",
" <th>PaperlessBilling</th>\n",
" <th>PaymentMethod</th>\n",
" <th>MonthlyCharges</th>\n",
" <th>TotalCharges</th>\n",
" <th>Churn</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <td>0</td>\n",
" <td>7590-VHVEG</td>\n",
" <td>Female</td>\n",
" <td>0</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>1</td>\n",
" <td>No</td>\n",
" <td>No phone service</td>\n",
" <td>DSL</td>\n",
" <td>No</td>\n",
" <td>...</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>Month-to-month</td>\n",
" <td>Yes</td>\n",
" <td>Electronic check</td>\n",
" <td>29.85</td>\n",
" <td>29.85</td>\n",
" <td>No</td>\n",
" </tr>\n",
" <tr>\n",
" <td>1</td>\n",
" <td>5575-GNVDE</td>\n",
" <td>Male</td>\n",
" <td>0</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>34</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>DSL</td>\n",
" <td>Yes</td>\n",
" <td>...</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>One year</td>\n",
" <td>No</td>\n",
" <td>Mailed check</td>\n",
" <td>56.95</td>\n",
" <td>1889.5</td>\n",
" <td>No</td>\n",
" </tr>\n",
" <tr>\n",
" <td>2</td>\n",
" <td>3668-QPYBK</td>\n",
" <td>Male</td>\n",
" <td>0</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>2</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>DSL</td>\n",
" <td>Yes</td>\n",
" <td>...</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>Month-to-month</td>\n",
" <td>Yes</td>\n",
" <td>Mailed check</td>\n",
" <td>53.85</td>\n",
" <td>108.15</td>\n",
" <td>Yes</td>\n",
" </tr>\n",
" <tr>\n",
" <td>3</td>\n",
" <td>7795-CFOCW</td>\n",
" <td>Male</td>\n",
" <td>0</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>45</td>\n",
" <td>No</td>\n",
" <td>No phone service</td>\n",
" <td>DSL</td>\n",
" <td>Yes</td>\n",
" <td>...</td>\n",
" <td>Yes</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>One year</td>\n",
" <td>No</td>\n",
" <td>Bank transfer (automatic)</td>\n",
" <td>42.30</td>\n",
" <td>1840.75</td>\n",
" <td>No</td>\n",
" </tr>\n",
" <tr>\n",
" <td>4</td>\n",
" <td>9237-HQITU</td>\n",
" <td>Female</td>\n",
" <td>0</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>2</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>Fiber optic</td>\n",
" <td>No</td>\n",
" <td>...</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>Month-to-month</td>\n",
" <td>Yes</td>\n",
" <td>Electronic check</td>\n",
" <td>70.70</td>\n",
" <td>151.65</td>\n",
" <td>Yes</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>5 rows × 21 columns</p>\n",
"</div>"
],
"text/plain": [
" customerID gender SeniorCitizen Partner Dependents tenure PhoneService \\\n",
"0 7590-VHVEG Female 0 Yes No 1 No \n",
"1 5575-GNVDE Male 0 No No 34 Yes \n",
"2 3668-QPYBK Male 0 No No 2 Yes \n",
"3 7795-CFOCW Male 0 No No 45 No \n",
"4 9237-HQITU Female 0 No No 2 Yes \n",
"\n",
" MultipleLines InternetService OnlineSecurity ... DeviceProtection \\\n",
"0 No phone service DSL No ... No \n",
"1 No DSL Yes ... Yes \n",
"2 No DSL Yes ... No \n",
"3 No phone service DSL Yes ... Yes \n",
"4 No Fiber optic No ... No \n",
"\n",
" TechSupport StreamingTV StreamingMovies Contract PaperlessBilling \\\n",
"0 No No No Month-to-month Yes \n",
"1 No No No One year No \n",
"2 No No No Month-to-month Yes \n",
"3 Yes No No One year No \n",
"4 No No No Month-to-month Yes \n",
"\n",
" PaymentMethod MonthlyCharges TotalCharges Churn \n",
"0 Electronic check 29.85 29.85 No \n",
"1 Mailed check 56.95 1889.5 No \n",
"2 Mailed check 53.85 108.15 Yes \n",
"3 Bank transfer (automatic) 42.30 1840.75 No \n",
"4 Electronic check 70.70 151.65 Yes \n",
"\n",
"[5 rows x 21 columns]"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Show the features (=columns) and first data entries of the data frame.\n",
"df.head(5)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<class 'pandas.core.frame.DataFrame'>\n",
"RangeIndex: 7043 entries, 0 to 7042\n",
"Data columns (total 21 columns):\n",
"customerID 7043 non-null object\n",
"gender 7043 non-null object\n",
"SeniorCitizen 7043 non-null int64\n",
"Partner 7043 non-null object\n",
"Dependents 7043 non-null object\n",
"tenure 7043 non-null int64\n",
"PhoneService 7043 non-null object\n",
"MultipleLines 7043 non-null object\n",
"InternetService 7043 non-null object\n",
"OnlineSecurity 7043 non-null object\n",
"OnlineBackup 7043 non-null object\n",
"DeviceProtection 7043 non-null object\n",
"TechSupport 7043 non-null object\n",
"StreamingTV 7043 non-null object\n",
"StreamingMovies 7043 non-null object\n",
"Contract 7043 non-null object\n",
"PaperlessBilling 7043 non-null object\n",
"PaymentMethod 7043 non-null object\n",
"MonthlyCharges 7043 non-null float64\n",
"TotalCharges 7043 non-null object\n",
"Churn 7043 non-null object\n",
"dtypes: float64(1), int64(2), object(18)\n",
"memory usage: 1.1+ MB\n"
]
}
],
"source": [
"# Get a summary on the data frame incl. data types, shape and memory storage.\n",
"df.info()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>SeniorCitizen</th>\n",
" <th>tenure</th>\n",
" <th>MonthlyCharges</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <td>count</td>\n",
" <td>7043.000000</td>\n",
" <td>7043.000000</td>\n",
" <td>7043.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <td>mean</td>\n",
" <td>0.162147</td>\n",
" <td>32.371149</td>\n",
" <td>64.761692</td>\n",
" </tr>\n",
" <tr>\n",
" <td>std</td>\n",
" <td>0.368612</td>\n",
" <td>24.559481</td>\n",
" <td>30.090047</td>\n",
" </tr>\n",
" <tr>\n",
" <td>min</td>\n",
" <td>0.000000</td>\n",
" <td>0.000000</td>\n",
" <td>18.250000</td>\n",
" </tr>\n",
" <tr>\n",
" <td>25%</td>\n",
" <td>0.000000</td>\n",
" <td>9.000000</td>\n",
" <td>35.500000</td>\n",
" </tr>\n",
" <tr>\n",
" <td>50%</td>\n",
" <td>0.000000</td>\n",
" <td>29.000000</td>\n",
" <td>70.350000</td>\n",
" </tr>\n",
" <tr>\n",
" <td>75%</td>\n",
" <td>0.000000</td>\n",
" <td>55.000000</td>\n",
" <td>89.850000</td>\n",
" </tr>\n",
" <tr>\n",
" <td>max</td>\n",
" <td>1.000000</td>\n",
" <td>72.000000</td>\n",
" <td>118.750000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" SeniorCitizen tenure MonthlyCharges\n",
"count 7043.000000 7043.000000 7043.000000\n",
"mean 0.162147 32.371149 64.761692\n",
"std 0.368612 24.559481 30.090047\n",
"min 0.000000 0.000000 18.250000\n",
"25% 0.000000 9.000000 35.500000\n",
"50% 0.000000 29.000000 70.350000\n",
"75% 0.000000 55.000000 89.850000\n",
"max 1.000000 72.000000 118.750000"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Get statistical information on numerical features.\n",
"df.describe()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The unique values for every feature are printed to the console to get a deeper understanding about the feature values."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Unique customerID's count: 7043\n",
"['7590-VHVEG' '5575-GNVDE' '3668-QPYBK' ... '4801-JZAZL' '8361-LTMKD'\n",
" '3186-AJIEK']\n",
"\n",
"Unique gender's count: 2\n",
"['Female' 'Male']\n",
"\n",
"Unique SeniorCitizen's count: 2\n",
"[0 1]\n",
"\n",
"Unique Partner's count: 2\n",
"['Yes' 'No']\n",
"\n",
"Unique Dependents's count: 2\n",
"['No' 'Yes']\n",
"\n",
"Unique tenure's count: 73\n",
"[ 1 34 2 45 8 22 10 28 62 13 16 58 49 25 69 52 71 21 12 30 47 72 17 27\n",
" 5 46 11 70 63 43 15 60 18 66 9 3 31 50 64 56 7 42 35 48 29 65 38 68\n",
" 32 55 37 36 41 6 4 33 67 23 57 61 14 20 53 40 59 24 44 19 54 51 26 0\n",
" 39]\n",
"\n",
"Unique PhoneService's count: 2\n",
"['No' 'Yes']\n",
"\n",
"Unique MultipleLines's count: 3\n",
"['No phone service' 'No' 'Yes']\n",
"\n",
"Unique InternetService's count: 3\n",
"['DSL' 'Fiber optic' 'No']\n",
"\n",
"Unique OnlineSecurity's count: 3\n",
"['No' 'Yes' 'No internet service']\n",
"\n",
"Unique OnlineBackup's count: 3\n",
"['Yes' 'No' 'No internet service']\n",
"\n",
"Unique DeviceProtection's count: 3\n",
"['No' 'Yes' 'No internet service']\n",
"\n",
"Unique TechSupport's count: 3\n",
"['No' 'Yes' 'No internet service']\n",
"\n",
"Unique StreamingTV's count: 3\n",
"['No' 'Yes' 'No internet service']\n",
"\n",
"Unique StreamingMovies's count: 3\n",
"['No' 'Yes' 'No internet service']\n",
"\n",
"Unique Contract's count: 3\n",
"['Month-to-month' 'One year' 'Two year']\n",
"\n",
"Unique PaperlessBilling's count: 2\n",
"['Yes' 'No']\n",
"\n",
"Unique PaymentMethod's count: 4\n",
"['Electronic check' 'Mailed check' 'Bank transfer (automatic)'\n",
" 'Credit card (automatic)']\n",
"\n",
"Unique MonthlyCharges's count: 1585\n",
"[29.85 56.95 53.85 ... 63.1 44.2 78.7 ]\n",
"\n",
"Unique TotalCharges's count: 6531\n",
"['29.85' '1889.5' '108.15' ... '346.45' '306.6' '6844.5']\n",
"\n",
"Unique Churn's count: 2\n",
"['No' 'Yes']\n",
"\n"
]
}
],
"source": [
"# Looping through the columns to get unique values per column.\n",
"for i in df.columns:\n",
" print(f\"Unique {i}'s count: {df[i].nunique()}\")\n",
" print(f\"{df[i].unique()}\\n\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Meaning of Features\n",
"\n",
"By inspecting the columns and their unique values, a general understanding about the features can be build. The features can also be clustered into different categories:\n",
"\n",
"**Classification labels**\n",
"- Churn - Whether the customer churned or not (Yes or No)\n",
"\n",
"**Customer services booked**\n",
"- PhoneService - Whether the customer has a phone service or not (Yes, No)\n",
"- MultipleLines - Whether the customer has multiple lines or not (Yes, No, No phone service)\n",
"- InternetService - Customer’s internet service provider (DSL, Fiber optic, No)\n",
"- OnlineSecurity - Whether the customer has online security or not (Yes, No, No internet service)\n",
"- OnlineBackup - Whether the customer has online backup or not (Yes, No, No internet service)\n",
"- DeviceProtection - Whether the customer has device protection or not (Yes, No, No internet service)\n",
"- TechSupport - Whether the customer has tech support or not (Yes, No, No internet service)\n",
"- StreamingTV - Whether the customer has streaming TV or not (Yes, No, No internet service)\n",
"- StreamingMovies - Whether the customer has streaming movies or not (Yes, No, No internet service)\n",
"\n",
"**Customer account information**\n",
"- Tenure - Number of months the customer has stayed with the company\n",
"- Contract - The contract term of the customer (Month-to-month, One year, Two year)\n",
"- PaperlessBilling - Whether the customer has paperless billing or not (Yes, No)\n",
"- PaymentMethod - The customer’s payment method (Electronic check, Mailed check, Bank transfer (automatic), Credit card (automatic))\n",
"- MonthlyCharges - The amount charged to the customer monthly\n",
"- TotalCharges - The total amount charged to the customer\n",
"\n",
"**Customers demographic info**\n",
"- customerID - Customer ID\n",
"- Gender - Whether the customer is a male or a female\n",
"- SeniorCitizen - Whether the customer is a senior citizen or not (1, 0)\n",
"- Partner - Whether the customer has a partner or not (Yes, No)\n",
"- Dependents - Whether the customer has dependents or not (Yes, No)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Data Preprocessing for EDA"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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"<style scoped>\n",
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"\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>customerID</th>\n",
" <th>gender</th>\n",
" <th>SeniorCitizen</th>\n",
" <th>Partner</th>\n",
" <th>Dependents</th>\n",
" <th>tenure</th>\n",
" <th>PhoneService</th>\n",
" <th>MultipleLines</th>\n",
" <th>InternetService</th>\n",
" <th>OnlineSecurity</th>\n",
" <th>...</th>\n",
" <th>DeviceProtection</th>\n",
" <th>TechSupport</th>\n",
" <th>StreamingTV</th>\n",
" <th>StreamingMovies</th>\n",
" <th>Contract</th>\n",
" <th>PaperlessBilling</th>\n",
" <th>PaymentMethod</th>\n",
" <th>MonthlyCharges</th>\n",
" <th>TotalCharges</th>\n",
" <th>Churn</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <td>0</td>\n",
" <td>7590-VHVEG</td>\n",
" <td>Female</td>\n",
" <td>0</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>1.0</td>\n",
" <td>No</td>\n",
" <td>No phone service</td>\n",
" <td>DSL</td>\n",
" <td>No</td>\n",
" <td>...</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>Month-to-month</td>\n",
" <td>Yes</td>\n",
" <td>Electronic check</td>\n",
" <td>29.85</td>\n",
" <td>29.85</td>\n",
" <td>No</td>\n",
" </tr>\n",
" <tr>\n",
" <td>1</td>\n",
" <td>5575-GNVDE</td>\n",
" <td>Male</td>\n",
" <td>0</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>34.0</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>DSL</td>\n",
" <td>Yes</td>\n",
" <td>...</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>One year</td>\n",
" <td>No</td>\n",
" <td>Mailed check</td>\n",
" <td>56.95</td>\n",
" <td>1889.50</td>\n",
" <td>No</td>\n",
" </tr>\n",
" <tr>\n",
" <td>2</td>\n",
" <td>3668-QPYBK</td>\n",
" <td>Male</td>\n",
" <td>0</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>2.0</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>DSL</td>\n",
" <td>Yes</td>\n",
" <td>...</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>Month-to-month</td>\n",
" <td>Yes</td>\n",
" <td>Mailed check</td>\n",
" <td>53.85</td>\n",
" <td>108.15</td>\n",
" <td>Yes</td>\n",
" </tr>\n",
" <tr>\n",
" <td>3</td>\n",
" <td>7795-CFOCW</td>\n",
" <td>Male</td>\n",
" <td>0</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>45.0</td>\n",
" <td>No</td>\n",
" <td>No phone service</td>\n",
" <td>DSL</td>\n",
" <td>Yes</td>\n",
" <td>...</td>\n",
" <td>Yes</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>One year</td>\n",
" <td>No</td>\n",
" <td>Bank transfer (automatic)</td>\n",
" <td>42.30</td>\n",
" <td>1840.75</td>\n",
" <td>No</td>\n",
" </tr>\n",
" <tr>\n",
" <td>4</td>\n",
" <td>9237-HQITU</td>\n",
" <td>Female</td>\n",
" <td>0</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>2.0</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>Fiber optic</td>\n",
" <td>No</td>\n",
" <td>...</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>Month-to-month</td>\n",
" <td>Yes</td>\n",
" <td>Electronic check</td>\n",
" <td>70.70</td>\n",
" <td>151.65</td>\n",
" <td>Yes</td>\n",
" </tr>\n",
" <tr>\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",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <td>7038</td>\n",
" <td>6840-RESVB</td>\n",
" <td>Male</td>\n",
" <td>0</td>\n",
" <td>Yes</td>\n",
" <td>Yes</td>\n",
" <td>24.0</td>\n",
" <td>Yes</td>\n",
" <td>Yes</td>\n",
" <td>DSL</td>\n",
" <td>Yes</td>\n",
" <td>...</td>\n",
" <td>Yes</td>\n",
" <td>Yes</td>\n",
" <td>Yes</td>\n",
" <td>Yes</td>\n",
" <td>One year</td>\n",
" <td>Yes</td>\n",
" <td>Mailed check</td>\n",
" <td>84.80</td>\n",
" <td>1990.50</td>\n",
" <td>No</td>\n",
" </tr>\n",
" <tr>\n",
" <td>7039</td>\n",
" <td>2234-XADUH</td>\n",
" <td>Female</td>\n",
" <td>0</td>\n",
" <td>Yes</td>\n",
" <td>Yes</td>\n",
" <td>72.0</td>\n",
" <td>Yes</td>\n",
" <td>Yes</td>\n",
" <td>Fiber optic</td>\n",
" <td>No</td>\n",
" <td>...</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>Yes</td>\n",
" <td>Yes</td>\n",
" <td>One year</td>\n",
" <td>Yes</td>\n",
" <td>Credit card (automatic)</td>\n",
" <td>103.20</td>\n",
" <td>7362.90</td>\n",
" <td>No</td>\n",
" </tr>\n",
" <tr>\n",
" <td>7040</td>\n",
" <td>4801-JZAZL</td>\n",
" <td>Female</td>\n",
" <td>0</td>\n",
" <td>Yes</td>\n",
" <td>Yes</td>\n",
" <td>11.0</td>\n",
" <td>No</td>\n",
" <td>No phone service</td>\n",
" <td>DSL</td>\n",
" <td>Yes</td>\n",
" <td>...</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>Month-to-month</td>\n",
" <td>Yes</td>\n",
" <td>Electronic check</td>\n",
" <td>29.60</td>\n",
" <td>346.45</td>\n",
" <td>No</td>\n",
" </tr>\n",
" <tr>\n",
" <td>7041</td>\n",
" <td>8361-LTMKD</td>\n",
" <td>Male</td>\n",
" <td>1</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>4.0</td>\n",
" <td>Yes</td>\n",
" <td>Yes</td>\n",
" <td>Fiber optic</td>\n",
" <td>No</td>\n",
" <td>...</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>Month-to-month</td>\n",
" <td>Yes</td>\n",
" <td>Mailed check</td>\n",
" <td>74.40</td>\n",
" <td>306.60</td>\n",
" <td>Yes</td>\n",
" </tr>\n",
" <tr>\n",
" <td>7042</td>\n",
" <td>3186-AJIEK</td>\n",
" <td>Male</td>\n",
" <td>0</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>66.0</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>Fiber optic</td>\n",
" <td>Yes</td>\n",
" <td>...</td>\n",
" <td>Yes</td>\n",
" <td>Yes</td>\n",
" <td>Yes</td>\n",
" <td>Yes</td>\n",
" <td>Two year</td>\n",
" <td>Yes</td>\n",
" <td>Bank transfer (automatic)</td>\n",
" <td>105.65</td>\n",
" <td>6844.50</td>\n",
" <td>No</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>7043 rows × 21 columns</p>\n",
"</div>"
],
"text/plain": [
" customerID gender SeniorCitizen Partner Dependents tenure \\\n",
"0 7590-VHVEG Female 0 Yes No 1.0 \n",
"1 5575-GNVDE Male 0 No No 34.0 \n",
"2 3668-QPYBK Male 0 No No 2.0 \n",
"3 7795-CFOCW Male 0 No No 45.0 \n",
"4 9237-HQITU Female 0 No No 2.0 \n",
"... ... ... ... ... ... ... \n",
"7038 6840-RESVB Male 0 Yes Yes 24.0 \n",
"7039 2234-XADUH Female 0 Yes Yes 72.0 \n",
"7040 4801-JZAZL Female 0 Yes Yes 11.0 \n",
"7041 8361-LTMKD Male 1 Yes No 4.0 \n",
"7042 3186-AJIEK Male 0 No No 66.0 \n",
"\n",
" PhoneService MultipleLines InternetService OnlineSecurity ... \\\n",
"0 No No phone service DSL No ... \n",
"1 Yes No DSL Yes ... \n",
"2 Yes No DSL Yes ... \n",
"3 No No phone service DSL Yes ... \n",
"4 Yes No Fiber optic No ... \n",
"... ... ... ... ... ... \n",
"7038 Yes Yes DSL Yes ... \n",
"7039 Yes Yes Fiber optic No ... \n",
"7040 No No phone service DSL Yes ... \n",
"7041 Yes Yes Fiber optic No ... \n",
"7042 Yes No Fiber optic Yes ... \n",
"\n",
" DeviceProtection TechSupport StreamingTV StreamingMovies Contract \\\n",
"0 No No No No Month-to-month \n",
"1 Yes No No No One year \n",
"2 No No No No Month-to-month \n",
"3 Yes Yes No No One year \n",
"4 No No No No Month-to-month \n",
"... ... ... ... ... ... \n",
"7038 Yes Yes Yes Yes One year \n",
"7039 Yes No Yes Yes One year \n",
"7040 No No No No Month-to-month \n",
"7041 No No No No Month-to-month \n",
"7042 Yes Yes Yes Yes Two year \n",
"\n",
" PaperlessBilling PaymentMethod MonthlyCharges TotalCharges \\\n",
"0 Yes Electronic check 29.85 29.85 \n",
"1 No Mailed check 56.95 1889.50 \n",
"2 Yes Mailed check 53.85 108.15 \n",
"3 No Bank transfer (automatic) 42.30 1840.75 \n",
"4 Yes Electronic check 70.70 151.65 \n",
"... ... ... ... ... \n",
"7038 Yes Mailed check 84.80 1990.50 \n",
"7039 Yes Credit card (automatic) 103.20 7362.90 \n",
"7040 Yes Electronic check 29.60 346.45 \n",
"7041 Yes Mailed check 74.40 306.60 \n",
"7042 Yes Bank transfer (automatic) 105.65 6844.50 \n",
"\n",
" Churn \n",
"0 No \n",
"1 No \n",
"2 Yes \n",
"3 No \n",
"4 Yes \n",
"... ... \n",
"7038 No \n",
"7039 No \n",
"7040 No \n",
"7041 Yes \n",
"7042 No \n",
"\n",
"[7043 rows x 21 columns]"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Changing the data tyoe of \"TotalCharges\" and \"tenure\" to float.\n",
"df['TotalCharges'] = pd.to_numeric(df['TotalCharges'], errors='coerce')\n",
"\n",
"def feature_to_float(feature_list, df):\n",
" for i in feature_list:\n",
" df[i] = df[i].astype(float)\n",
" return df\n",
"\n",
"feature_to_float(['tenure'], df)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"# Renaming the data values of \"PaymentMethod\" for better readability.\n",
"payment_column = {'Electronic check': 'E-Check' , 'Mailed check': 'Mailed Check', 'Bank transfer (automatic)': 'Bank Transfer', 'Credit card (automatic)': 'Credit Card'}\n",
"df[\"PaymentMethod\"].replace(payment_column, inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"customerID object\n",
"gender object\n",
"SeniorCitizen int64\n",
"Partner object\n",
"Dependents object\n",
"tenure float64\n",
"PhoneService object\n",
"MultipleLines object\n",
"InternetService object\n",
"OnlineSecurity object\n",
"OnlineBackup object\n",
"DeviceProtection object\n",
"TechSupport object\n",
"StreamingTV object\n",
"StreamingMovies object\n",
"Contract object\n",
"PaperlessBilling object\n",
"PaymentMethod object\n",
"MonthlyCharges float64\n",
"TotalCharges float64\n",
"Churn object\n",
"dtype: object"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Checking the data types for any unintended data types.\n",
"df.dtypes"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"customerID 0\n",
"gender 0\n",
"SeniorCitizen 0\n",
"Partner 0\n",
"Dependents 0\n",
"tenure 0\n",
"PhoneService 0\n",
"MultipleLines 0\n",
"InternetService 0\n",
"OnlineSecurity 0\n",
"OnlineBackup 0\n",
"DeviceProtection 0\n",
"TechSupport 0\n",
"StreamingTV 0\n",
"StreamingMovies 0\n",
"Contract 0\n",
"PaperlessBilling 0\n",
"PaymentMethod 0\n",
"MonthlyCharges 0\n",
"TotalCharges 11\n",
"Churn 0\n",
"dtype: int64"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Counting the number of missing values.\n",
"df.isna().sum()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The analysis shows 11 missing values for \"TotalCharges\". The respective data entries (=rows) will be deleted for simplicity."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Hypothesis Building"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Looking at the features included in data and connecting them to their potential influence on customer churn, the following hypotheses can be made:\n",
"- The longer the contract duration the less likely it is that the customer will churn as he/she is less frequently confronted with the termination/prolongation decision and potentially values contracts with reduced effort.\n",
"- Customers are willing to cancel simple contracts with few associated product components quicker and more often than complexer product bundles - for bundles customers value the reduced administrative complexity. They might also be hesitant to cancel a contract, when they depend on the additional service components (e.g. security packages).\n",
"- Customers with spouses and children might churn less to keep the services running for their family. \n",
"- Tenure, contract duration terms and number of additional services are assumed to be among the most important drivers of churn.\n",
"- More expensive contracts lead to increased churn as the chances to save money by changing providers might be higher.\n",
"- Senior citizens tend to churn less due to the extended effort associated with terminating contracts."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Data Exploration"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"# Apply the Fivethirtyeight style to all plots.\n",
"plt.style.use(\"fivethirtyeight\")"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 360x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Display a frequency distribution for churn. \n",
"plt.figure(figsize=(5, 5))\n",
"ax = sns.countplot(x=df['Churn'], palette=\"Blues\", linewidth=1)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The plot shows a class imbalance of the data between churners and non-churners. To address this, resampling would be a suitable approach. To keep this case simple, the imbalance is kept forward and specific metrics are chosen for model evaluations."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"# Create a function to generate boxplots.\n",
"plots = {1 : [111], 2: [121, 122], 3: [131, 132, 133], 4: [221, 222, 223, 224], 5: [231, 232, 233, 234, 235], 6: [231, 232, 233, 234, 235, 236]}\n",
"\n",
"def boxplot(x, y, df):\n",
" \n",
" rows = int(str(plots[len(y)][0])[0])\n",
" columns = int(str(plots[len(y)][0])[1])\n",
" plt.figure(figsize=(7*columns, 7*rows))\n",
" \n",
" for i, j in enumerate(y):\n",
" plt.subplot(plots[len(y)][i])\n",
" ax = sns.boxplot(x=x, y=j, data=df[[x, j]], palette=\"Blues\", linewidth=1)\n",
" ax.set_title(j)\n",
" \n",
" return plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1512x504 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Generate boxplots for tenure, MonthlyCharges and TotalCharges.\n",
"boxplot(\"Churn\", [\"tenure\", \"MonthlyCharges\", \"TotalCharges\"], df)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot insights:\n",
"- Churning customers have much lower tenure with a median of ca. 10 months compared to a median of non-churners of ca. 38 months.\n",
"- Churning customers have higher monthly charges with a median of ca. 80 USD and much lower interquartile range compared to that of non-churners (median of ca. 65 USD).\n",
"- TotalCharges are the result of tenure and MonthlyCharges, which are more insightful on an individual basis.\n"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"# Create a function to generate countplots:\n",
"def countplot(x, y, df):\n",
" \n",
" rows = int(str(plots[len(y)][0])[0])\n",
" columns = int(str(plots[len(y)][0])[1])\n",
" \n",
" plt.figure(figsize=(7*columns, 7*rows))\n",
" \n",
" for i, j in enumerate(y):\n",
" plt.subplot(plots[len(y)][i])\n",
" ax = sns.countplot(x=j, hue=x, data=df, palette='Blues', alpha=0.8, linewidth=0.4, edgecolor='black')\n",
" ax.set_title(j)\n",
" \n",
" return plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1512x1008 with 6 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Generate countplots for various features.\n",
"countplot(\"Churn\", ['SeniorCitizen', 'Contract', 'Partner', 'Dependents', 'PaymentMethod', 'InternetService'], df)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot insights:\n",
"- Senior citizens churn rate is much higher than non-senior churn rate.\n",
"- Churn rate for month-to-month contracts much higher that for other contract durations.\n",
"- Moderately higher churn rate for customers without partners.\n",
"- Much higher churn rate for customers without children.\n",
"- Payment method electronic check shows much higher churn rate than other payment methods.\n",
"- Customers with InternetService fiber optic as part of their contract have much higher churn rate."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Check for Outliers in Numerical Features"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tenure False\n",
"MonthlyCharges False\n",
"TotalCharges False\n",
"dtype: bool"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Check of outliers by applying the IQR method checking if values are way outside the IQR borders.\n",
"numerical_features = [\"tenure\", \"MonthlyCharges\", \"TotalCharges\"]\n",
"df_num = df[numerical_features]\n",
"df_num.describe()\n",
"\n",
"Q1 = df_num.quantile(0.25)\n",
"Q3 = df_num.quantile(0.75)\n",
"IQR = Q3 - Q1\n",
"IQR\n",
"((df_num < (Q1 - 1.5 * IQR)) | (df_num > (Q3 + 1.5 * IQR))).any()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"No outliers in numerical features detected with the IQR method - no adjustments made."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Data Cleaning"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"# Drop the rows with missing values.\n",
"df = df.dropna()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Feature Engineering Actions\n",
"\n",
"Based on the data types and the values, following actions are defined to preprocess/engineer the features for machine readibility and further analysis:\n",
"\n",
"**Columns removed**\n",
"- customerID: not relevant\n",
"\n",
"**No action**\n",
"- SeniorCitizen\n",
"\n",
"**Label encoding**\n",
"The following features are categorical and each take on 2 values (mostly yes/no) - therefore are transformed to binary integers\n",
"- gender\n",
"- Partner\n",
"- Dependents\n",
"- Churn\n",
"- PhoneService\n",
"- PaperlessBilling\n",
"\n",
"**One-Hot Encoding**\n",
"The following features are categorical, yet not ordinal (no ranking) but take on more than 2 values. For each value, a new variable is created with a binary integer indicating if the value occured in a data entry or not (1 or 0). \n",
"- MultipleLines\n",
"- InternetService\n",
"- OnlineSecurity\n",
"- OnlineBackup\n",
"- DeviceProtection\n",
"- TechSupport\n",
"- StreamingTV\n",
"- StreamingMovies\n",
"- Contract\n",
"- PaymentMethod\n",
"\n",
"**Min-Max Scaling**\n",
"Values of numerical features are rescaled between a range of 0 and 1. Min-max scaler is the standard approach for scaling. For normally distributed features standard scaler could be used, which scales values around a mean of 0 and a standard deviation of 1. For simplicity we use min-max scaler for all numerical features.\n",
"- tenure\n",
"- TotalCharges\n",
"- MonthlyCharges"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Step 4: Feature Engineering"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In feature engineering, the steps identified at the end of EDA are executed. Additionally, a new feature is generated from extisting features and a correlation analysis is conducted after all features have been transformed to numerical."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Feature Selection / Generation**"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"# Drop customerID feature.\n",
"df = df.drop(columns='customerID')"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"# Generate new feature \"Number_AdditionalServices\" by summing up the number of add-on services consumed.\n",
"df['Number_AdditionalServices'] = (df[['OnlineSecurity', 'DeviceProtection', 'StreamingMovies', 'TechSupport', 'StreamingTV', 'OnlineBackup']] == 'Yes').sum(axis=1)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 504x504 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Generate countplot for the new feature.\n",
"countplot('Churn', ['Number_AdditionalServices'], df)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot insights: \n",
"- The countplot shows a very high churn rate for customers that have 1 additional service. \n",
"- Customers with a very high number of additional services do have a low churn rate."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Label Encoding**"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"# Label encoding for identified columns.\n",
"features_le = ['gender', 'Partner', 'Dependents', 'Churn', 'PhoneService', 'PaperlessBilling']\n",
"\n",
"def label_encoding(features, df):\n",
" for i in features:\n",
" df[i] = df[i].map({'Yes': 1, 'No': 0})\n",
" return \n",
"\n",
"label_encoding(['Partner', 'Dependents', 'Churn', 'PhoneService', 'PaperlessBilling'], df)\n",
"\n",
"df['gender'] = df['gender'].map({'Female': 1, 'Male': 0})"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**One-Hot-Encoding**"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"# One-Hot-Encoding for identified columns.\n",
"features_ohe = ['MultipleLines', 'InternetService', 'OnlineSecurity', 'OnlineBackup', 'DeviceProtection', 'TechSupport', 'StreamingTV', 'StreamingMovies', 'Contract', 'PaymentMethod', 'Number_AdditionalServices']\n",
"\n",
"df = pd.get_dummies(df, columns=features_ohe) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Feature Rescaling: Min-Max-Scaling**"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"# Min-Max-Scaling for identified columns.\n",
"from sklearn.preprocessing import MinMaxScaler\n",
"\n",
"features_mms = ['tenure', 'MonthlyCharges', 'TotalCharges']\n",
"df_features_mms = pd.DataFrame(df, columns=features_mms)\n",
"df_remaining_features = df.drop(columns=features_mms)\n",
"\n",
"mms = MinMaxScaler()\n",
"rescaled_features = mms.fit_transform(df_features_mms)\n",
"\n",
"df_rescaled_features = pd.DataFrame(rescaled_features, columns=features_mms, index=df_remaining_features.index)\n",
"\n",
"df = pd.concat([df_remaining_features, df_rescaled_features], axis=1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Correlation analysis**"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x122930910>"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 1440x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Show correlation plot for correlation of Churn with each of the remaining features.\n",
"plt.figure(figsize=(16,10))\n",
"df.corr()['Churn'].sort_values(ascending=False).plot(kind='bar', figsize=(20,5))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Step 5: Train-Test-Split"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For conduction of model training and testing steps, the data set is split into 80% training data and 20% test data. The \"Churn\" column is defined as the class (the \"y\"), the remaining columns as the features (the \"X\"). "
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"#Applying sklearn's splitter function train_test_split \n",
"from sklearn.model_selection import train_test_split\n",
"\n",
"X1 = df.drop('Churn', axis=1)\n",
"X = X1.values\n",
"y = df['Churn'].values\n",
"\n",
"X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Step 6: Model Evaluation Metrics"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For performance assessment of the chosen models, various metrics are used:\n",
"- **Feature weights:** Indicates the top features used by the model to generate the predictions\n",
"- **Confusion matrix:** Shows a grid of true and false predictions compared to the actual values\n",
"- **Accuracy score:** Shows the overall accuracy of the model for training set and test set\n",
"- **ROC Curve:** Shows the diagnostic ability of a model by bringing together true positive rate (TPR) and false positive rate (FPR) for different thresholds of class predictions (e.g. thresholds of 10%, 50% or 90% resulting to a prediction of churn)\n",
"- **AUC (for ROC):** Measures the overall separability between classes of the model related to the ROC curve\n",
"- **Precision-Recall-Curve:** Shows the diagnostic ability by comparing false positive rate (FPR) and false negative rate (FNR) for different thresholds of class predictions. It is suitable for data sets with high class imbalances (negative values overrepresented) as it focuses on precision and recall, which are not dependent on the number of true negatives and thereby excludes the imbalance \n",
"- **F1 Score:** Builds the harmonic mean of precision and recall and thereby measures the compromise between both.\n",
"- **AUC (for PRC):** Measures the overall separability between classes of the model related to the Precision-Recall curve"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.metrics import accuracy_score, confusion_matrix, classification_report, roc_curve, roc_auc_score\n",
"from sklearn.metrics import precision_recall_curve, auc, f1_score, plot_confusion_matrix, precision_score, recall_score"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"# Define a function that plots the feature weights for a classifier.\n",
"def feature_weights(X_df, classifier, classifier_name):\n",
" weights = pd.Series(classifier.coef_[0], index=X_df.columns.values).sort_values(ascending=False)\n",
" \n",
" top_weights_selected = weights[:10]\n",
" plt.figure(figsize=(7,6))\n",
" plt.tick_params(labelsize=10)#plt.xlabel(fontsize=10)\n",
" plt.title(f'{classifier_name} - Top 10 Features')\n",
" top_weights_selected.plot(kind=\"bar\")\n",
" \n",
" bottom_weights_selected = weights[-10:]\n",
" plt.figure(figsize=(7,6))\n",
" plt.tick_params(labelsize=10)#plt.xlabel(fontsize=10)\n",
" plt.title(f'{classifier_name} - Bottom 10 Features')\n",
" bottom_weights_selected.plot(kind=\"bar\")\n",
" \n",
" return print(\"\")"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [],
"source": [
"# Define a function that plots the confusion matrix for a classifier and the train and test accuracy\n",
"def confusion_matrix_plot(X_train, y_train, X_test, y_test, classifier, y_pred, classifier_name):\n",
" fig, ax = plt.subplots(figsize=(7, 6))\n",
" plot_confusion_matrix(classifier, X_test, y_test, display_labels=[\"No Churn\", \"Churn\"], cmap=plt.cm.Blues, normalize=None, ax=ax)\n",
" ax.set_title(f'{classifier_name} - Confusion Matrix')\n",
" plt.show()\n",
"\n",
" fig, ax = plt.subplots(figsize=(7, 6))\n",
" plot_confusion_matrix(classifier, X_test, y_test, display_labels=[\"No Churn\", \"Churn\"], cmap=plt.cm.Blues, normalize='true', ax=ax)\n",
" ax.set_title(f'{classifier_name} - Confusion Matrix (norm.)')\n",
" plt.show()\n",
" \n",
" print(f'Accuracy Score Test: {accuracy_score(y_test, y_pred)}')\n",
" print(f'Accuracy Score Train: {classifier.score(X_train, y_train)} (as comparison)')\n",
" return print(\"\")"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"# Define a function that plots the ROC curve and the AUC score\n",
"def roc_curve_auc_score(X_test, y_test, y_pred_probabilities, classifier_name):\n",
" \n",
" y_pred_prob = y_pred_probabilities[:,1]\n",
" fpr, tpr, thresholds = roc_curve(y_test, y_pred_prob)\n",
" \n",
" plt.plot([0, 1], [0, 1], 'k--')\n",
" plt.plot(fpr, tpr, label=f'{classifier_name}')\n",
" plt.xlabel('False Positive Rate')\n",
" plt.ylabel('True Positive Rate')\n",
" plt.title(f'{classifier_name} - ROC Curve')\n",
" plt.show()\n",
" \n",
" return print(f'AUC Score (ROC): {roc_auc_score(y_test, y_pred_prob)}\\n')"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [],
"source": [
"# Define a function that plots the precision-recall-curve and the F1 score and AUC score\n",
"def precision_recall_curve_and_scores(X_test, y_test, y_pred, y_pred_probabilities, classifier_name):\n",
" \n",
" y_pred_prob = y_pred_probabilities[:,1]\n",
" precision, recall, thresholds = precision_recall_curve(y_test, y_pred_prob)\n",
" \n",
" plt.plot(recall, precision, label=f'{classifier_name}')\n",
" plt.xlabel('Recall')\n",
" plt.ylabel('Precision')\n",
" plt.title(f'{classifier_name} - Precision-Recall Curve')\n",
" plt.show()\n",
" \n",
" f1_score_result, auc_score_result = f1_score(y_test, y_pred), auc(recall, precision)\n",
" \n",
" return print(f'F1 Score: {f1_score_result} \\nAUC Score (PR): {auc_score_result}\\n')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Step 7: Model Selection, Training, Prediction and Assessment"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In the beginning we will test out several models and measure their performance by several metrics. Those models will be optimized in a later step by tuning their hyperparameters. The models used include:\n",
"- **K Nearest Neighbors** - fast, simple and instance-based\n",
"- **Logistic Regression** - fast and linear model\n",
"- **Random Forest** - slower but accurate ensemble model based on decision trees\n",
"- **Support Vector Machines** - slower but accurate model used here in the non-linear form"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**K Nearest Neighbors**"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.neighbors import KNeighborsClassifier\n",
"\n",
"# Instanciate and train the KNN classifier based on the training set.\n",
"knn = KNeighborsClassifier()\n",
"knn.fit(X_train, y_train)\n",
"\n",
"# Make predictions (classes and probabilities) with the trained classifier on the test set.\n",
"y_pred_knn = knn.predict(X_test)\n",
"y_pred_knn_prob = knn.predict_proba(X_test)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 504x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 504x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Accuracy Score Test: 0.7512437810945274\n",
"Accuracy Score Train: 0.8407111111111111 (as comparison)\n",
"\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"AUC Score (ROC): 0.7638310098306682\n",
"\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"F1 Score: 0.5218579234972678 \n",
"AUC Score (PR): 0.5311830797176768\n",
"\n"
]
}
],
"source": [
"# Plot model evaluations.\n",
"confusion_matrix_plot(X_train, y_train, X_test, y_test, knn, y_pred_knn, 'KNN')\n",
"roc_curve_auc_score(X_test, y_test, y_pred_knn_prob, 'KNN')\n",
"precision_recall_curve_and_scores(X_test, y_test, y_pred_knn, y_pred_knn_prob, 'KNN')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Logistic Regression**"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"LogisticRegression(max_iter=1000)"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.linear_model import LogisticRegression\n",
"\n",
"# Instanciate and train the logistic regression model based on the training set.\n",
"logreg = LogisticRegression(max_iter=1000)\n",
"logreg.fit(X_train, y_train)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
"# Make predictions (classes and probabilities) with the trained model on the test set.\n",
"y_pred_logreg = logreg.predict(X_test)\n",
"y_pred_logreg_prob = logreg.predict_proba(X_test)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n"
]
},
{
"data": {
"image/png": 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1a0qdQT08q++DmqFh8ZJeh6V5XADQqFEjLFu2DIWFhfjrr7+QmJiI1atXY/78+cjPz9ead/Jfwn2wAqhnBycmJuq9XT2soh4abNasGSpWrIhz587pfdKrh2REsrCwwDfffAOg6LjBZ1+QHTp0AACDs3/VqlWrBjs7O9y4cQOXLl3Suf1FH486x+HDh0v9vQqFAs2bN8ewYcMQFxeH8uXLF3uISLVq1eDt7Y3Q0FB88sknePToEfbt21fizy/pb3779m2cO3cOlStXhr29famzy4WDgwMsLCxw4sQJvVuE6sO19A15X7hwQW8xJycnA4Bm5ndZc3V1hbm5OZKSkvD48WOt2548eYJDhw6hXLlycHNzK/P77tChA1QqFY4cOWLU+uqy9/X11SnX8+fP6/3AamikQ/1hLysrS+e24g7HM6S0j+tZ5cqVg4ODA0aMGKF5/ZX2UC1TwoIVoFu3bqhZsyYiIyM1byBqv/zyC44fP46WLVtqCsPS0hIBAQHIy8vTGZ49e/YstmzZovd+7t27h/Pnz+s97uxFuLu7w9vbG+np6di0aZNmub+/P5o0aYK1a9cWe9jIyZMnNUNHAPDee+9BpVLhyy+/1NqHdO3aNSxfvvyF8g0fPhyWlpaYPn26Zn/vs5RKpVbBnT17Vu8xx3fv3sWTJ0+03sT27t2rdwKSuhSef8N7nnpSUlhYmFaRqFQqzJgxAw8fPsSAAQOMPn5TjqpUqYKAgADcu3cPX3/9tdZtly9fxg8//IBy5crp3ZouKCjA7NmztZb9/fff2LBhAypWrIjAwEAhmWvWrImAgAD8+++/Osczf//997h58ya6d+9eJoe1PG/06NEoV64cQkJC9D4Pnzx5gqSkJM3XDRs2BFD0oUO9bxgo2g8/fvx4vfehnoCnr0CB//tQum7dOq3X4T///KPz9zBWaR/XyZMnkZ2drbOeevTC0GvLlHGI+AWUdMKHOXPmoFatWli2bBkGDx6M3r17o2fPnrCzs8Off/6JPXv2oHr16vjxxx+1hmBmzZqF3377DUuWLEFaWhpcXFxw8+ZNREREwMfHBzExMVqzcYGiT35jxoyBm5ubziSXFzV9+nTs378f3377Lfr164fy5cvDwsICGzduRJ8+fRAUFAQnJye0adMGlStXRnZ2Nk6dOoX09HT89ttvqFmzJgBg/PjxiImJwc6dO5GRkYHOnTtrZqG6uLjofTyG2NvbY9myZRgzZgxcXFzg4+OD119/HUqlEtnZ2UhNTcXjx49x5coVAEWH6UybNg0dOnRAs2bNYG1tjRs3biA2NhaFhYX49NNPNT/7ww8/hKWlJVxcXNCwYUMoFArN4TN2dnbo3bt3idk6duyICRMmICwsDC4uLujduzeqVauGAwcO4OTJk3BwcNCZeWuK5s6di99//x3Lly9HWloa3N3dNSdzyM3NxZdffqkziQsA2rVrh4SEBHTu3BleXl64ffs2IiIikJ+fj0WLFhk9z+D06dOa8+6qt9pu376t9ZqcPHmy1slJ5syZg9TUVHz33XdIS0tD69atcebMGc0pEvVN3CsLbdu2RVhYGIKDg9GxY0d4e3vj9ddfR0FBAbKyspCSkoIqVapoTnjSrFkzvPPOO9i7dy/eeusteHp64u7du9i/fz+sra3RtGlTnaF2Nzc3WFpaYsOGDXjy5Anq1asHhUKBIUOGwNraGl5eXmjXrh327dsHb29vuLm54datW4iPj4ePj4/ek7OU9eOKjY1FaGgonJ2dYW9vj9q1a+PatWuIjY2FQqEo9sPDfwEL9gXom4GrNnnyZNSqVQtdu3bFnj17EBYWhkOHDiEyMhJ16tTBgAEDEBISAjs7O63vs7a2xp49ezB79mzs3bsXx48fR9OmTREaGorKlSsjJiZG2H6qZzk6OqJ79+6Ijo7G6tWrNRNlHBwckJycjB9//BGxsbHYvHkzVCoV6tatixYtWmDs2LFaw58VK1bErl278PXXXyMqKgo//vgjGjVqhM8++wyurq4v/HjeffddvPnmm1i6dCkOHTqEAwcOoEKFCqhXrx58fHy0ZnZ6e3trXvDx8fHIzc2FtbU1OnbsiJEjR2odXzxr1iwkJCTg9OnT2L9/P8zNzdGgQQNMmjQJI0aMMOoiDzNmzEDr1q2xcuVKbN++HY8fP0ajRo0QHByM8ePHa/ZNm7I6deogISEBYWFhiI6OxtKlS1GhQgU4Ojpi9OjRWvvun/++n3/+GTNnzsTPP/+M/Px8ODg4YMKECejevbvR95+dna3z+svLy9NaNnz4cK2CrVu3LhISEvDNN98gLi4Ov/32G2rXro0hQ4Zg6tSpQrZe1T744AM4Ojpi2bJlSE5Oxv79+1GpUiXUq1cPPXr0QEBAgNb6q1evxrfffovo6GisXLkS1tbW6NOnDyZPngx/f3+dn1+/fn2sX78e8+fPx9atWzUT/NTHpJcrVw7h4eGYMWMG4uPjsXLlSjRu3BhTp05F//79X/jwqNI8rm7duuHff//FkSNHEB0djfv376Nu3brw8vLCqFGj4Orq+kIZTIEiJydHZXg1ktJXX32FBQsWYNGiRfjggw+kjvPS1q1bh/Hjx2PChAmYMWOG1HFIoLNnz8LV1RVdunTRnMiE6H8F98HKyPXr13WWnTlzBitWrICFhQX8/PwkSPXi9D2erKwszX5mY2YkExGZKg4Ry8g777yD1157DQ4ODqhUqRIyMjKwZ88ePH36FHPmzBE6lCXCsGHDkJ+fj7Zt26J69eq4cuUKdu/ejYcPH2LEiBF6Z5sSEf1XsGBl5IMPPkBcXJxmwkiVKlXg4eGBESNGvPILOZeF/v37Y+vWrYiJiUFOTg4qVqyINm3aYPDgwRgwYIDU8YiIhOI+WCIiIgG4D5aIiEgAFiwREZEALFgiIiIBTL5g09PTpY5QKswrFvOKxbzimFJWgHmNYfIFS0REJEcsWCIiIgFYsERERAKwYImIiARgwRIREQnAgiUiIhKABUtERCQAC5aIiEgAFiwREZEALFgiIiIBWLBEREQCsGCJiIgEYMESEREJwIIlIiISwFzqAMWxWptt5JqVgCTj1s0ZavvigYiIiEqBW7BEREQCsGCJiIgEYMESEREJwIIlIiISgAVLREQkAAuWiIhIABYsERGRACxYIiIiAViwREREArBgiYiIBGDBEhERCcCCJSIiEoAFS0REJAALloiISAAWLBERkQAsWCIiIgFYsERERAIYLNgxY8agadOmcHFx0Xu7SqVCSEgIHB0d4erqihMnTpR5SCIiIlNjsGCDgoIQHh5e7O179+7FxYsXcezYMSxevBiff/55mQYkIiIyRQYL1s3NDTVq1Cj29tjYWLz33ntQKBTo0KED7t27h3/++adMQxIREZmal94He/36ddja2mq+trGxwfXr11/2xxIREZk085f9ASqVSmeZQqEo8XvS09ON+MmVXjDRy96veHLJYSzmFYt5xTKlvKaUFWBee3v7Em9/6YK1sbFBdna25utr166hXr16LxUKAJCUbXidUjLqfgVLT0+XRQ5jMa9YzCuWKeU1pawA8xrjpYeI/fz8sGXLFqhUKvz++++oVq2awYIlIiL6rzO4Bfvhhx8iKSkJd+7cgYODAyZPnoynT58CAIYNGwZfX1/s3bsXjo6OqFSpEpYuXSo8NBERkdwZLNjVq1eXeLtCocD8+fPLLBAREdF/Ac/kREREJAALloiISAAWLBERkQAsWCIiIgFYsERERAKwYImIiARgwRIREQnAgiUiIhKABUtERCQAC5aIiEgAFiwREZEALFgiIiIBWLBEREQCsGCJiIgEYMESEREJwIIlIiISgAVLREQkAAuWiIhIABYsERGRACxYIiIiAViwREREArBgiYiIBGDBEhERCcCCJSIiEoAFS0REJAALloiISAAWLBERkQAsWCIiIgFYsERERAKwYImIiARgwRIREQnAgiUiIhKABUtERCQAC5aIiEgAFiwREZEALFgiIiIBWLBEREQCsGCJiIgEYMESEREJwIIlIiISgAVLREQkAAuWiIhIABYsERGRACxYIiIiAViwREREArBgiYiIBGDBEhERCcCCJSIiEoAFS0REJAALloiISAAWLBERkQAsWCIiIgFYsERERAIYVbD79u2Dk5MTHB0dsXDhQp3br169iu7du8PDwwOurq7Ys2dPmQclIiIyJQYLVqlUIjg4GOHh4UhNTUV4eDj++usvrXXmz5+PgIAAJCYmYs2aNfj888+FBSYiIjIFBgs2LS0NTZo0gZ2dHSwtLREYGIjY2FitdRQKBfLy8gAAubm5qF+/vpi0REREJsLc0ArXr1+Hra2t5msbGxukpaVprTN58mT06dMHK1euxIMHDxAZGVn2SYmIiEyIwYJVqVQGf0h4eDgGDBiAsWPH4ujRoxgxYgRSUlJQrpz+DeT09HQjolUyYp3SMe5+xZNLDmMxr1jMK5Yp5TWlrADz2tvbl3i7wYK1sbFBdna25utr167pDAFv3LgR4eHhAICOHTvi0aNHuHPnDurUqfNCoQAASdmG1yklo+5XsPT0dFnkMBbzisW8YplSXlPKCjCvMQzug23Xrh0yMjKQmZmJgoIC7NixA35+flrrNGjQAIcOHQIA/P3333j8+DFq164tJjEREZEJMLgFa25ujtDQUAQGBkKpVGLQoEFo2bIl5s6dC0dHR/j7+2POnDkYP348li1bBoVCofk/ERHR/yqDBQsAvr6+8PX11Vo2bdo0zb9btGiB3bt3l20yIiIiE8YzOREREQnAgiUiIhKABUtERCQAC5aIiEgAFiwREZEALFgiIiIBWLBEREQCsGCJiIgEYMESEREJwIIlIiISgAVLREQkAAuWiIhIABYsERGRACxYIiIiAYy6XB2VzGptdinWrgQkGbd+zlDbFwtERESS4xYsERGRACxYIiIiAViwREREArBgiYiIBGDBEhERCcCCJSIiEoAFS0REJAALloiISAAWLBERkQAsWCIiIgFYsERERAKwYImIiARgwRIREQnAgiUiIhKABUtERCQAC5aIiEgAFiwREZEALFgiIiIBWLBEREQCsGCJiIgEYMESEREJwIIlIiISgAVLREQkAAuWiIhIABYsERGRACxYIiIiAViwREREArBgiYiIBGDBEhERCcCCJSIiEoAFS0REJAALloiISAAWLBERkQAsWCIiIgFYsERERAKwYImIiARgwRIREQnAgiUiIhKABUtERCSAUQW7b98+ODk5wdHREQsXLtS7TkREBJydndGpUyd89NFHZRqSiIjI1JgbWkGpVCI4OBg7d+6EjY0N3n77bfj5+aFFixaadTIyMhAWFobdu3fDysoKt27dEhqaiIhI7gxuwaalpaFJkyaws7ODpaUlAgMDERsbq7XOunXr8PHHH8PKygoAUKdOHTFpiYiITITBLdjr16/D1tZW87WNjQ3S0tK01rlw4QIAoEuXLlAqlZg8eTJ8fHyK/Znp6elGRKtkxDqlY9z9voiyzwqIzFs6cslhLOYVi3nFMaWsAPPa29uXeLvBglWpVAbvRKlUIiMjA9HR0cjOzoa/vz8OHz6s2aItbSgAQFK24XVKyaj7fRECsgIC85ZCenq6LHIYi3nFYl5xTCkrwLzGMDhEbGNjg+zs/yuQa9euoX79+jrr+Pv7w8LCAnZ2dmjatCkuXrxY9mmJiIhMhMGCbdeuHTIyMpCZmYmCggLs2LEDfn5+Wut069YNiYmJAIA7d+4gIyMDdnZ2QgITERGZAoNDxObm5ggNDUVgYCCUSiUGDRqEli1bYu7cuXB0dIS/vz+8vb2RkJAAZ2dnmJmZYfbs2ahZs+aryE9ERCRLBgsWAHx9feHr66u1bNq0aZp/KxQKfP3112WbjIiIyITxTE5EREQCsGCJiIgEYMESEREJwIIlIiISgAVLREQkAAuWiIhIABYsERGRACxYIiIiAViwREREArBgiYiIBGDBEhERCcCCJSIiEoAFS0REJAALloiISAAWLBERkQAsWCIiIgFYsERERAKwYImIiARgwRIREQnAgiUiIhLAXOoA9OpZrc0uxdqVgCTj1s8ZavtigYiI/oO4BUtERCQAC5aIiEgAFtxbfa8AACAASURBVCwREZEALFgiIiIBWLBEREQCsGCJiIgEYMESEREJwIIlIiISgAVLREQkAAuWiIhIABYsERGRACxYIiIiAViwREREArBgiYiIBGDBEhERCcCCJSIiEoAFS0REJAALloiISAAWLBERkQAsWCIiIgFYsERERAKwYImIiARgwRIREQnAgiUiIhKABUtERCQAC5aIiEgAFiwREZEALFgiIiIBWLBEREQCsGCJiIgEYMESEREJwIIlIiISwKiC3bdvH5ycnODo6IiFCxcWu15kZCSsrKxw/PjxMgtIRERkigwWrFKpRHBwMMLDw5Gamorw8HD89ddfOuvl5eVh+fLlcHJyEhKUiIjIlBgs2LS0NDRp0gR2dnawtLREYGAgYmNjddabO3cuxo8fj/LlywsJSkREZEoMFuz169dha2ur+drGxgbXr1/XWufkyZPIzs5G165dyz4hERGRCTI3tIJKpSrx9sLCQkydOhXLli0z+k7T09ONWKuS0T+vbO/3RZR9VoB5X5RcchiLecUypbymlBVgXnt7+xJvN1iwNjY2yM7O1nx97do11K9fX/N1Xl4ezp07h+7duwMAbt68iQEDBmDz5s1wdHR8oVAAgKRsw+uUklH3+yIEZAWY90Wkp6fLIoexmFcsU8prSlkB5jWGwSHidu3aISMjA5mZmSgoKMCOHTvg5+enub169eq4ePEiTp8+jdOnT8PJyanEciUiIvpfYLBgzc3NERoaisDAQHTs2BEBAQFo2bIl5s6dq3eyExERERkxRAwAvr6+8PX11Vo2bdo0vevGxMS8fCoiIiITxzM5ERERCcCCJSIiEoAFS0REJAALloiISAAWLBERkQAsWCIiIgFYsERERAKwYImIiARgwRIREQnAgiUiIhKABUtERCQAC5aIiEgAFiwREZEALFgiIiIBWLBEREQCsGCJiIgEYMESEREJwIIlIiISgAVLREQkAAuWiIhIABYsERGRACxYIiIiAViwREREArBgiYiIBGDBEhERCcCCJSIiEoAFS0REJAALloiISAAWLBERkQAsWCIiIgFYsERERAKwYImIiARgwRIREQnAgiUiIhKABUtERCQAC5aIiEgAc6kDEBlitTa7FGtXApKMWz9nqO2LBSIiMgILlqiM8QMBEQEcIiYiIhKCBUtERCQAC5aIiEgA7oMl+h/HfcZEYrBgicik8AMBmQoWLBGRIPww8L+N+2CJiIgEYMESEREJwIIlIiISgAVLREQkAAuWiIhIABYsERGRADxMh4iIAPCworLGLVgiIiIBuAVLREQmSe5b3EZtwe7btw9OTk5wdHTEwoULdW5fsmQJnJ2d4erqip49e+LKlStlEo6IiMhUGSxYpVKJ4OBghIeHIzU1FeHh4fjrr7+01mndujUOHDiAw4cPo1evXpg5c6awwERERKbAYMGmpaWhSZMmsLOzg6WlJQIDAxEbG6u1jqenJypVqgQAcHJywrVr18SkJSIiMhEGC/b69euwtf2/8WgbGxtcv3692PU3btwIHx+fsklHRERkogxOclKpVEb/sK1bt+L48eOIiYkpcb309HQjflolo+/XWMbd74so+6wA8/4f5gWY9/+YUl5TygowbxFj89rb25d4u8GCtbGxQXb2/828unbtGurXr6+z3sGDB7FgwQLExMSgfPnyLxUKgNGzvUrDqPt9EQKyAsyrwbwAmFfDlPKaUlaAef+/ssprcIi4Xbt2yMjIQGZmJgoKCrBjxw74+flprXPy5El8+umn2Lx5M+rUqVMmwYiIiEyZwS1Yc3NzhIaGIjAwEEqlEoMGDULLli0xd+5cODo6wt/fHzNmzMCDBw8wZMgQAECDBg2wZcsW4eGJiIjkyqgTTfj6+sLX11dr2bRp0zT/joyMLNtUREREJo6nSiQiIhKABUtERCQAC5aIiEgAFiwREZEALFgiIiIBWLBEREQCsGCJiIgEYMESEREJwIIlIiISgAVLREQkAAuWiIhIABYsERGRACxYIiIiAViwREREArBgiYiIBGDBEhERCcCCJSIiEoAFS0REJAALloiISAAWLBERkQAsWCIiIgFYsERERAKwYImIiARgwRIREQnAgiUiIhKABUtERCQAC5aIiEgAFiwREZEALFgiIiIBWLBEREQCsGCJiIgEYMESEREJwIIlIiISgAVLREQkAAuWiIhIABYsERGRACxYIiIiAViwREREArBgiYiIBGDBEhERCcCCJSIiEoAFS0REJAALloiISAAWLBERkQAsWCIiIgFYsERERAKwYImIiARgwRIREQnAgiUiIhKABUtERCQAC5aIiEgAFiwREZEALFgiIiIBjCrYffv2wcnJCY6Ojli4cKHO7Y8fP8bQoUPh6OgIb29vXL58ucyDEhERmRKDBatUKhEcHIzw8HCkpqYiPDwcf/31l9Y6GzZsgJWVFY4fP47Ro0dj1qxZovISERGZBIMFm5aWhiZNmsDOzg6WlpYIDAxEbGys1jqxsbEYMGAAAKBXr144dOgQVCqVmMREREQmwNzQCtevX4etra3maxsbG6SlpRW7jrm5OapVq4a7d++iVq1aLxwsZ6it4ZVkwpSyAswrGvOKZUp5TSkrwLxlzeAWrDFbovrWUSgUL5aIiIjoP8BgwdrY2CA7O1vz9bVr11C/fv1i13n69Clyc3NRo0aNMo5KRERkOgwWbLt27ZCRkYHMzEwUFBRgx44d8PPz01rHz88PmzdvBgBERkbC09OTW7BERPQ/zeA+WHNzc4SGhiIwMBBKpRKDBg1Cy5YtMXfuXDg6OsLf3x/vv/8+RowYAUdHR9SoUQNr1qx5FdmJiIhkS5GTk8PpvkT0n5Kfnw8AqFixosRJ6H+ZyZ3J6ffff8fDhw8BAOHh4ZgxYwaysrIkTvXfMnv2bOTk5Gi+zsnJwZw5cyRM9N9z8+ZNxMfHIz4+Hrdu3ZI6zn/GuXPn8Pbbb6N9+/aaE988f9y+3Ozdu1dnmVxHAfPz8zWTWi9duoQ9e/bg6dOnEqeSL5PbgnV1dUVycjLOnDmD4cOHY8CAAYiLi9M5NldOHj9+jKioKFy5ckXryThp0iQJUxXPw8MDiYmJWss8PT3x22+/SZSoZFFRUTrLqlevDgcHB9SpU0eCRCWLiIjAF198AXd3d6hUKqSkpOCrr75Cr169pI6mIyoqCrNmzcLt27ehUqmgUqmgUChw9epVqaPp1bVrV0yaNAlvv/02AODgwYP45ptvEB8fL3Gy4vn6+mLatGnw8vICACxatAhJSUkIDw+XOJmut956C7GxscjNzUXnzp3RqlUrWFlZYcWKFVJH0+vy5cuoX78+LC0tkZKSgjNnzqBfv36oVq3aK7l/g/tg5cbc3BwKhQKxsbEYOXIkBg8ejO3bt0sdq0RBQUGoVq0a2rZtC0tLS6njGKRUKvH48WOUL18eQNGn1oKCAolTFW/jxo04evQoPDw8AABJSUno0KEDLly4gJCQELz33nsSJ9Q2f/58HDhwQFP+t2/fRq9evWRZsDNnzsSWLVvQvHlzqaMYJS8vT1OuQFEhTJs2TcJEhm3evBn9+/eHhYUF9u/fj/Pnz2smjcpNYWEhKlWqhI0bN+Ljjz/GZ599Bnd3d6ljFWvgwIE4cOAALl26hJEjR8LX1xcff/wxtm7d+kru3+QKtnLlyvj++++xdetWxMTEoLCwUPZDFNeuXcOOHTukjmG0/v37o1evXggKCoJCocAvv/yiOVOXHCkUChw9ehTW1tYAioZfJ0yYgP3798Pf3192BatSqbS2rGvWrCnbM59ZW1ubTLkCQMOGDREWFob+/fsDALZt24bXXntN4lQlq1WrFjZv3oxevXqhbdu2WL9+vWyPwigsLMSxY8cQHh6ORYsWaZbJVbly5WBhYYFdu3Zh1KhRGDlypOaD+KtgcgW7Zs0abNu2DQsXLkS9evVw9epVjB49WupYJerYsSPOnDmDN954Q+ooRhk/fjwcHBw0p7ycOHEivL29pY5VrKtXr2rKFQDq1KmDjIwM1KhRA+bm8nuKe3t7o0+fPggMDARQNGT8zjvvSJxKv7Zt22Lo0KHo1q2b1uhLz549JUxVvKVLl2Lu3Lno27cvAMDNzQ3Lli2TOJV+DRo0gEKh0Ay7FxQU4PLly4iKipLtMPzcuXMxb948+Pr6wsHBAZmZmXBxcZE6VrHMzc2xc+dObNmyBZs2bQKAV7pBZnL7YAEgOzsbGRkZ8PT0xKNHj6BUKlG5cmWpY+lwdXUFUDTkmpGRoTmfs9rhw4elivaf8vnnnyMrK0szxBoVFQVbW1vMnj0b/fv3R3R0tMQJdUVGRiI1NRUqlQqurq7o0aOH1JH00vfhVaFQYOnSpRKkIbl4dheSnJ09exarV69Gx44d0b9/f2RmZiI8PBzBwcGv5P5NrmA3bNiAVatWITc3FydOnMCFCxfw+eefIzIyUupoOq5cuVLi7Q0bNnxFSYzTtWtXxMfHaz5Zq8l9YotKpUJUVBSOHDkClUoFFxcX9OzZU7bDbFT2xo0bV+zfW6FQaIYz5WjXrl3w9PRE9erVARTN2k9KSkL37t0lTqYrLS0NY8eORW5uLv7880+cPn0a69evR2hoqNTRilVQUICsrCw0adLkld+3yRWsu7s7EhIS4O3trZnp6urqKuutweHDh2PlypUGl9F/W+vWrUssgRMnTrziRIZduHABEyZMwK1bt5CSkoI///wTcXFxmDhxotTRtPz66686y65du4bly5fj6dOnsj5Ux93dHUlJSVrL9M3klwMfHx+sWbMGAwcO1ORzcXFBSkqKxMn02717N6ZNm4aCggKcOnUKp06dwrfffotffvnlldy/yR0HW6FCBa1hVqVSKWEa4zz/4lYqlTh58qREaQwbPny4UcvkIioqCu3atUPDhg3x2muvoUGDBrKc2HLw4EEcOHBA89/+/fvxySefQKVSoVWrVlLH02vcuHGYOXOmZl/2m2++qbfMpNanTx/Nf05OTkhMTMSaNWswduxYWX5weZa+SUJyfV8rLCzUGXkrV06+NfL1119j3759mtGB1q1b49KlS6/s/uU3A8QAZ2dnLF68GI8fP8Zvv/2Gn376CV26dJE6ll5hYWEICwtDfn6+5g1fpVLBwsICH3zwgbThSvD8B4KnT5/K+gOBqRxKUrNmTQBFb1JbtmzBDz/8gFatWmHbtm1o0aKFxOn0y8/PR/v27bWWmZmZSZSmZBkZGZg/fz7S0tLwySef4LvvvoOFhYXUsQxydHTE1KlT8fHHH0OhUGDFihVo06aN1LH0srW1RVpaGhQKBZRKJVasWIGmTZtKHatYFhYWsLKykuz+5fvRoxizZ89GlSpVYG9vj+XLl8PLywtffPGF1LH0mjBhArKysjBu3DhcvXoVV69eRVZWFi5duoSZM2dKHU9HWFgYGjRogDNnzmi2BBs0aAB7e3v4+/tLHa9YpnIoyZMnT7B27Vo4OzsjJSUFmzZtwsqVK2VbrkDRISSXLl3SDG1HRkaiXr16EqfS9eGHH6JPnz5o164ddu/ejd69eyM/Px+5ubnIzc2VOl6JvvvuO1haWmLo0KH44IMPULFiRcyfP1/qWHqFhYVh6dKlyMrKgr29Pf744w+EhYVJHatYzZo1Q0REBAoLC5GZmYnJkyejQ4cOr+z+TW4frKm6du0arl69qjVF3M3NTcJExfvyyy9l+QGgOJMmTcLNmzdlfyiJg4MDzMzMMGrUKDRo0EDndrnlBYDMzEyMHz8eR48ehZWVFRo1aoQVK1agUaNGUkfT4uDgoPkQoP6/+thihUKBP//8U7Jsxrp//z6qVKkidQy9fv/991daTGXlwYMH+O6775CQkACg6BC5kJAQVKpU6ZXcv8kVrIeHh85EkWrVqsHR0RETJkyQ5XVoZ82ahR07dqBFixaa/RUKhQJbtmyROJl+KpUKu3btwpEjR6BQKODi4iLLGY1qpnIoyahRo0qc5CS3vM968OABCgsLUbVqVamjvJTz58+jWbNmUsfQkpqainHjxuHBgweambk///wzFixYIHU0DQ8PD7Rv3x6zZs2SdMjVWBEREQgICJA6hukV7IwZM6BSqfDuu+8CKJo9aGZmhsqVK+P333+XZWk5OTkhOTnZJI4bA4qOK7148aLWiRAaN24s22Gr/5pNmzYhKChI6hgAivYbqyc6qT8cyPm81IbIMbu3tzfWrVuHAQMGyHZmbmFhIZYvX47Vq1dj4sSJsjs72vP69++Pp0+fYsGCBbCzs5Msh8lNcjp69KjWibvbtGmjOX5TfWIHubGzs8OTJ09MpmCTk5ORkpKieUMNCgqS5e928eLFGD9+PCZOnKh3y/C7776TINXLW758uWwKtkWLFigsLERAQADWrl2LGjVqyPa0jsaQa/bndxnIbWZuuXLlMHr0aHTu3Bm+vr4IDg7WOguV3I6R37p1K6Kjo9GvXz+8++67+PDDD7V+p69qpNPkCjYvLw8nTpxA27ZtAQAnTpzQTGKQ6+zGihUrwsPDA15eXlr7COVaAE2bNsXVq1c10/GzsrJkeZpH9VCfo6OjxEnKlpxKwNzcHLNnz0ZERAT8/PywfPlykz6Bhxyz29raIjU1VXO6xBUrVshy0t769euxaNEiTJ8+XTPjWc66d++ORo0aoVu3btiwYYPWPvpXdVSEyRXs4sWLMWLECDx58gQqlQqWlpZYsmQJHjx4gPHjx0sdTy8/Pz/4+flJHcNod+/ehbOzM9q1awcAOH78ODp06KAZFpLLMLz6dyqXrb2yIqc3LnXZBwQEoEWLFvjwww95/eUytnDhQkyePBnXr1+Hg4MDOnfuLLvdMb6+vmjYsCHi4uJQt25dqeMY9PjxY4SGhiIqKgorV65E165dJclhUgWrVCqRnZ2N1NRU3L17FyqVCrVq1dLcrt4vKzdBQUEoKCjAhQsXAAD29vayPj5v6tSpUkcwSv/+/UssI7l8ECgtOW3B/vDDD5p/t2zZEvHx8YiJiZEw0cuR4yhXrVq1sGrVKqljlGjKlClalwEsTlhYGCZMmPAKEpXMzc0NPXv2xKFDh1CxYkXJcpjcJCc/Pz/ExcVJHaNUEhMTMWrUKDRs2BAqlQrZ2dn48ccfZXuYDlB0ybdjx44BANq3by/LC5c/f3q558n1OpVKpbLEN/qJEydKfm7XQ4cOwcvLS+/F7AF5HlIEFG1pR0REGFwmJ7dv38a6detw5coVrcP45DyrvDhymUT2119/GXV8uejXmkltwQJA586dsWzZMvTp00frWKZXdYX6FzF9+nRERETA3t4eQNH5XT/88EMcOnRI4mT6RURE4IsvvoC7uztUKhVCQkLw1Vdfye6C4HItUEMcHR3Rq1cvDBw4UO+bgNTlChRNdPPy8tKaUKimUChkV7AFBQV49OgRbt68iby8PM0oQF5enuyHtIOCguDi4oK33npLdpObSksuoy/GnrwlNTVVaA6TK9iff/4ZgPanO7kfSP7kyRNNuQJFk4iePHkiYaKSzZ8/HwcOHNBstd6+fRu9evWSXcEamtks1wtAJCcn49dff8W4ceNQWFiIQYMGoU+fPrL6kKjeTRASEqJzmENmZuarD2TAqlWrsGzZMty6dQsuLi6aN/qqVati6NChEqcr2cOHD/Hll19KHaNMyGn+gByY3BCxKRozZgwUCgX69+8PANi+fTuePn0q2wtBP391osLCQri7u8uusEztcoD6JCcn46OPPsK9e/fQs2dPhISESHJZreLoG/Lz8vKS5eiLUqnE999/j88++0zqKKUyZ84cdOzYEb6+vlJHeWlyvQpQcUQPaZvcFixQdDaWv/76C48fP9Ys69u3r4SJShYWFoZVq1ZhxYoVmgtsf/TRR1LHKpa3tzf69OmjdaKJd955R+JUukyhQPVRKpXYvXs3fvnlF1y5cgVjxoxBv379kJKSgr59+yItLU3qiDh//jzOnTuH3Nxcrf2weXl5Wq87OTEzM0NMTIzJFKz6ussqlQoLFixA+fLlYWFhIdtjS43Ru3dvqSOUiughbZPbgg0NDUVCQgLS09PRuXNnJCQkoFOnTti4caPU0f5Tnr2AuaurK3r06CF1JB2meoH4Nm3awMPDA++//z6cnZ21bgsJCZHF8dExMTGIiYlBXFyc1iFmVapUQWBgoE5uuZgzZw4cHR3RrVs3qaP8J82YMQPBwcGoWLEiAgMD8eeff2LevHma0Tm5iIyMRJcuXVChQoUS1/vll18wcOBAYTlMrmBdXV2RmJgIT09PJCcn459//sGnn34q60My4uPjMXfuXFy9ehVKpVL2BUBipaSkwMXFRWvZkSNH0KlTJ4kSFe/o0aPo2LGj1DGM1qhRI+Tm5qJ8+fKoUKGC5rUmx/3G+/fvx/3793XmNmzfvh21a9c26rCYV019cfhdu3YhJiYG8+bNQ/fu3ZGcnCx1NC0DBw5EamoqvL298e6776Jz586SHKJlckPEFSpUgJmZGczNzZGXl4e6devi8uXLUscq0ZQpU7Bhwwa88cYbnAQg0MOHD/H333+jYcOGWsdHy82kSZN09vuEhITI4vAGNfVpKLdv347w8HCd2+Wwla3PxYsXpY5gtHnz5undMPD09MSgQYNkWbDqw4j27t2Ld999V5YXVwGKtkxzc3MRHR2NFStWYOzYsfD390dgYOArPTzS5Aq2devWyMnJ0TwBq1atitatW0sdq0S2trZal9OishEbG4tJkyahRo0amD59OoKDg2FtbY0rV65g1qxZsjvD09GjR5Gamoo7d+5gyZIlmuV5eXlQKpUSJtNlqqehNDMzw549ezQT8tzd3eHj4yNxKv0ePnyI2rVr6yyvW7cuHjx4IEEiw7p27YoOHTqgQoUKWLBgAW7fvm1wGFYq1apVQ1BQEIKCgnD37l1ERkYiJCQEOTk5OHPmzCvJYHJDxM+6ePEicnNzNecllqtjx45h7ty5cHNz0zoX8SeffCJhKv2USiVGjRqFlStXSh3FIDc3N6xbtw65ubno0aMHkpOTYWdnh1u3bqFXr16ym/WclJSEpKQkrF27VuvQkSpVqsDPzw+vv/66hOm0PXr0CPfv39cpgFu3bqFq1aqyfVP96quvcOTIEc2kxx07dsDZ2RnTp0+XOJmu9u3bIzU1Febm2ts5T548gbOzs+ZEL3KTk5ODqlWrwszMDA8ePMD9+/dlffrEnJwcREZGIjw8HBcvXkSPHj3wzTffvJL7NrktWAC4ceMGsrKyNMMVqampsp10ARS96CtXroxHjx6hoKBA6jglMjMzw+3bt1FQUKD1YUCOypUrh6ZNmwIo2vemPl6zTp06sjwlnru7O9zd3REUFCT7GdCTJk2Ct7e3zgklDhw4gCNHjiAsLEyiZCWLi4tDYmKi5u8/aNAgeHp6yrJge/TogXHjxiE0NBSVK1cGUHTd3UmTJslyUiFQtNW9atUqZGVlYfHixfjnn3+Qnp4u2bl+i5OXl4eYmBjs2LEDJ0+ehJ+fH4KDg+Hp6flKRxJNrmBnz56Nbdu2wd7eXvMiUigU2L59u8TJivfvv//K+lRtz2vYsCG6dOkCPz8/rbNlyW2Lu7CwEDk5OSgsLIRCoUBOTo5m2n1hYaHE6XRNnjwZ33zzTbGX15PTRL0jR45g8eLFOsv79esn23JVy8vL01wU/P79+xKnKd706dMxZ84ctGrVCq+99hqAoitXvf/++5g2bZrE6fQbM2YM2rZti6NHjwIAbGxsMGTIENkVbJs2beDt7Y1hw4bBx8dHsnO/m1zBRkVF4Y8//pDtEJU+b731FhISEtC5c2epoxilXr16qFevHgoLC2X9BpWbmwsvLy9NqXp6empuk+P+bvXViMaOHStxEsNKOj5Qjh9e1MaPHw9PT0/N8yIpKUm2F68wNzfHrFmzMGnSJM3krCZNmkh6cnpDLl26hLVr12omvlWsWFE2p0d8lqenpywuoGByBduoUSNZv8D1+emnn7B48WKUL19es79FzofpTJ48GUDRcJV66EqOTp8+LXWEUmnbti2USiXWr18v+33ctWvXRlpaGtq3b6+1/NixY7Keod2/f394eHjgjz/+AFB0ykcbGxuJU5WsYsWKmustjx8/Xu/IgVxYWloiPz9f8wH20qVLKF++vMSpdMllNrnJFOyUKVOgUChQpUoVeHp64q233tLaR/j1119LmK5kcj/Z+POOHj2KsWPH4sGDB/jzzz9x+vRp/Pzzz1iwYIHU0fQ6cuQIWrVqhcqVK2Pr1q04efIkRo4cKcv9nKayj/urr77CBx98gKCgIM0kwuPHj2PLli1Ys2aNxOlKduLECfzxxx9QKBSwsLCQfcE+6/jx41JHKNGUKVMQGBiI7OxsfPzxxzhy5IgsT/man5+PkydPFrt1/aomxprMLOL169eXePvgwYNfUZKXM2/ePEyZMkXqGCXy9vbGunXrMGDAAM15RV1cXJCSkiJxMv1cXV2RnJyMP//8EyNGjMD777+PXbt2ITY2Vupoen366aeaiRdy3sd969YtrFq1CufOnQNQdIWS4cOHy/LShWoTJ07E33//rXWaT3t7e1lcocgYgYGB2LFjh9QxSnT37l38/vvvUKlU6NChgyxHNBo0aABHR0e9BatQKLBr165XksNktmC7deuGu3fval2VBgD+/vtvWb/gnxcXFyf7ggWKnqDPkvNltMzNzaFQKBAbG4uRI0di8ODB2Lx5s9SximUq+7hr1qyJzMxMbNiwQeooRktMTERKSopmCHPQoEGyvu7y89Tl+vTpU53Dd6R0/vx5NGvWDCdOnAAAzWE5V69exdWrV2V3qGTjxo1fWYmWRD5/QQMmTZqEwYMH6xTslStXsGDBAtnv01KT44SA59na2iI1NRUKhQIFBQVYsWIFmjdvLnWsYlWpUgVhYWHYtm0bYmNjoVQqtS5cLTfqfdxyXFsO2AAAIABJREFUZyrD2c96/fXXkZ2drfmA+M8//6Bly5YSp9JPfS5tABg+fLjWe1jnzp1ldWavpUuXYvHixXoPd3qVW4SmxmSGiDt16oQjR47ovU3Ow5fPU58bVc7u3LmDyZMn4+DBgygsLIS3tze++eYb1KxZU+poet24cQPbt29Hu3bt4OrqiqtXryIpKQkDBgyQOppe3bt31/sckOOblKkMZ6v16NEDx44dg5OTEwAgLS0NHTt21GSX00VBnr202/OXTTO1y77JjVyO2jCZLdiStkjkfPFyAMjOzkZISAiOHDmCcuXKoVOnTvjmm29ga2srdTS9atWqJYsp7saqUqUKRo0aBTMzM1y4cAHnz5/Hu+++K3WsYs2ZM0fz70ePHiEqKkpWw4HPMpXhbLXg4GCpIxitpA/acv0Q7ubmhsDAQAQEBKBx48ZSxymWulxdXV11bqtevTratm2LiRMnCt9okOerWo/GjRtj//798Pb21lqekJCARo0aSZTKOGPGjMG7776LdevWAQC2bt2KMWPGYOfOnRIn0y8zMxOTJk3SzMTs0KED5s2bpzlTktz4+/sjLi4OOTk56NWrF9q2bYuIiAjZfkh4fn9Vp06d4O/vL1GakqmHs/Py8jSz+OXMy8sLt2/fxrFjx6BQKODo6Kj3fL9ycO/ePezatQuFhYW4d++e5rq7KpUKubm5EqfTb/PmzYiIiMAHH3yAcuXKoU+fPujdu7fmRBly4+PjAzMzM80H7l9//RUAULVqVYwaNQpbt24Vev8mM0R8/vx5vPfee3Bzc9M6bODw4cPYsmWL5uTkcqS+xJOhZXLh4+ODjz76SPOk3LFjB1auXIn9+/dLnEw/9fDaihUr8OjRI4wfP17Wv99///1X8+/CwkKcOHFC84FGbs6ePYsRI0ZoMteqVQvLly+X7X7NjRs3Yt68eXBzc4NKpUJKSgqmTp0quws/AMDo0aNLvF2Oh788KyMjA9999x22b9+Ou3fvSh1Hry5dumD37t16l7m6ugo/X7nJbME2a9YMhw8fxtatW3H27FkAgJOTE0JDQ2V95hOg6E1p69atmsIKDw+X7f5MoOgTtPqsQ0DRwfty3RoEivIePXoU27dvxw8//ABA3mcb8vLygkKhgEqlgrm5ORo1aqTJLTeffvop5s6dqzlLVmJiIsaPH489e/ZInEy/RYsW4dChQ5qt1jt37qBLly6yLFhjC3TTpk2yyn/58mXs3LkTv/76K8zMzPDll19KHalY9+/fxx9//KG1T169q+NVnK/cZAoWKLoW7JAhQ6SOUWpLlizBxIkTMXXqVCgUCnTs2BFLly6VOpYO9VaKh4cHFi5ciD59+kChUCAiIgK+vr4SpyvevHnzEBYWhu7du6Nly5bIzMyEu7u71LGKderUKakjGO3Bgwdap6D08PCQ7aXUAKB+/fqoXr265utq1aqZ1Ikm9Fm+fLlsCtbb2xtPnjxB7969sW7dOtnuNlL74Ycf8Mknn+D+/ftQqVSoWrUqfvjhBzx48AATJkwQfv8mM0TcqFEjvTv+1bNyMzMzX30oIx05cgSdOnUyuExqrVu31mxZPU+hUODkyZMSpDKe3E/tqLZq1Sr07dtXc0L6nJwchIeH46OPPpI4ma6BAweiTZs26N+/PwBg27Zt/6+9+4+r+ez/AP5qFZWkYiJh9zamqDtCKJ12UrHoh3JvsRZGrcm4NxVuWWxaeYjtsVltQxQzpJzGiFUqUcqPpYgoklQLaaXknPP5/tHjfL4dFdmtc12f7uv5z/icP3o/pnOuc13X+wcuXLiAn3/+mXBkHQsICMCVK1fg4uICNTU1HDlyBOPGjePL+z766CPCEb44mjKKFfWwQvPw4UNwHMe/51RFMAvs8wZS0zieTOHpFPzOnjF/j9BaO3Z0P0zTh2hbdXV1CA8PR05ODjiOw5QpU7Bq1SqVf1B1VdsM7Y7QOLbueWj6rHj48CEiIyP5u0sbGxsEBwcrnRrQ5PHjx0hOTkZ5eblSJUpISIhKfr5gjoifXkAfPHiA5uZm/u+DBw9WdUjPdfbsWeTm5uLevXv47rvv+Od//fXXc78wkJCRkQGRSMRnMz7t6dmgtFi1ahUOHjzI172am5tTN2y9LblcrlQPLZPJqC0109fXx8aNG0mH0WVCXECfh6bmNIGBgTA1NcXOnTsBtI5YXLJkCVX1xW3NnTsXenp6sLS0JNIsRTALrEJKSgpWr16NyspKGBoaorKyEm+++Sby8vJIh9ZOS0sLGhsbIZVKlWoI+/bt+9zeyiRkZ2dDJBLx3WXaUlNTo3aBBYTV2tHBwQHz58/HwoULAQCxsbHtys9IU8yufffdd6mfXduWu7t7h/EKaR7z02i6SiorK1Nqnbly5Uqq8x0qKyuJ9nYW3AL7xRdfICUlBR4eHsjKykJ6enqnOy7SbG1tYWtri7lz5/KTXaqrq/k+nrRRzM2kvTzgaUJr7bhu3TrExsZi+/bt4DgOYrGYumEVQppd21bbHayiiQeN49QAKJ1qdUTRLYumQQXa2to4c+YMJk+eDKA1l4TmKo6JEyeiqKiIHweoaoK5g1Wwt7fHyZMnYWNjg1OnTkFNTQ1isRhpaWmkQ+sSmu5TnhYQEIDo6GgA9JUGPEvb1o6KBYvm1o5A6zitioqKdr21mZfvnXfeoXKyUkREBADg+vXrOH/+PGbMmAEAOHbsGKZMmUJl6VZBQQECAgJQX18PjuNgYGCA77//Hubm5qRD65C1tTVKS0sxfPhwpSNiVV0hCW4Hq6enh8bGRkyePBn+/v549dVXqT4OfBpN9ylPKyws5P9MU2nA8witteNvv/2GtWvXoqWlBQUFBSgoKEB4eDiVx645OTmIiIjA7du3IZVK+btjWjPK23ZAksvl+OOPP1BdXU0wos4pumR5eHggIyMDffv25Z/Pnz+fYGSds7CwQHZ2Nv//WU9Pj3BEz3bgwAGiP19wC+yePXugpaWFr776Cnv37kV9fX23t7t6mWiu46W1/2lngoKCnhkzrck5kZGRSE1NxcyZMwG0fmiVl5cTjqpjS5cuRXh4OCwtLanO1FeYPHkyX2qmrq6O4cOH45tvviEd1jNVVFQo7a569epF3e9DV4+zaVFfXw89PT3+Swspgltgt2zZgrVr10JdXZ2/t1q/fj3Wrl1LOLJnk8lkqKmpgbOzM27fvg0A1PXvrKysRHBwMDiO4//cFm0L1tixY0mH8LdoaGhQW9bwND09PTg6OpIOo8uKiopIh/DC3n33XYjFYv4L15EjR6ibBBUaGgpzc3M4OjqiV69eVJ/EAcDixYuxb98+pa5pCqo8gRHcHWxHd5g2NjbIzs4mFNHz/fDDD4iMjMTAgQOVjrNpKyV5XvMAGo+MZTIZwsLC8MUXX5AOpcsCAwMhEomwZcsWxMfHIyYmBlKpFFu2bCEdWjthYWGQyWSYNWuW0i6LtgHbFy9ehLGxMQYOHAigtSHGr7/+iqFDhyI4OJjaul2Fixcv8oPiJ0+ejH/+85+kQ1JSUFCAxMRE/P7777C0tISXlxe/eDGdE8wCGxsbix07duDGjRt48803+ecNDQ0YO3Ystm/fTjC6Zxs7dixSU1OpTrp5EUFBQVRlNs6aNYvKWaqdefToEaKiopCWlgaO4+Dg4ICgoCBoaWmRDq0dxa6qLRoHbItEIiQlJcHQ0BBnzpzB/Pnz8dVXX6GwsBClpaV83SatLl26hNOnT/MLLK1JQwCQm5uLhIQEZGRkICwsjNpJUAqFhYXtGk2oquRQMEfEHh4eEIlEWLduHcLCwvjnurq6ePXVV8kF1gVDhgyhPhngReTm5pIOQYmFhQXee+89uLu7Kw0Fp7VuV0dHB6GhoQgNDUVdXR369etH7U7g8OHDpEPoEqlUyn+BTUxMhK+vL2bPno3Zs2fDxsaGcHTPFh0djbi4OMyaNQscx8Hf3x++vr7w9/cnHVo7tbW1KCgowOXLl2FsbEz9Z++SJUtQVFSEUaNG8aeHqqzpF8wCq6+vD319fezatQuXL19GTk4OgNakBlr/kRWJAa+99hpmzpwJJycnpWM22hIDhOrBgwcwNDRUujqgsTFGZGQkPDw8MHLkSDx+/BheXl4oLCyEuro6tm3bBnt7e9IhtlNTU4P169ejqqoKCQkJKC4uxtmzZ6mr25XL5ZDJZFBXV0dGRgY2b96s9BrN4uPj8fvvv/N9tJcvXw5HR0eqFtjdu3cjKSkJzc3NcHNzw86dO6n93G0rPz+f6IZAMAuswk8//YRt27bBxcUFALBgwQIsWrSIykbpiu5NJiYmMDExQUtLC1paWgAIL2OXZkJpjJGUlMQnju3duxdyuRzXr1/H9evXERAQQOUC+/HHH2PevHnYtGkTAODNN9/EwoULqVtg3d3dMXPmTAwYMACampqYMmUKgNbOQ6QzSbuibYY2jdnaS5cuhZmZGUxMTJCamtqu7wCNJWYAMGHCBBQXF2PUqFFEfr7gFtjY2FikpqZCV1cXAPDpp5/CycmJygVWUed26NAhuLu7K7126NAhEiG9FLRlEF6/fh2ffvop/vzzT5w5cwaFhYU4evQogoKCSIemRFNTk/9ilZqaCi8vL6irq+Ott95Suh+iyb179+Dh4cHvCDU0NKisOw8JCYGdnR2qq6vh4ODAx/jkyRNERkYSju7Z5s6dCwcHB6Us4vfff59wVMpou3PvKm9vbzg5OWHgwIGs0URXaWpqdvhnWm3evLndAtvRM9p0Nv6NtpFfn3zyCb744gssX74cADBmzBgsXryYugW2d+/euHz5MgYOHIisrCylzOempiaCkXVOR0cH9+/f578Y5OXlUZtPoGjfx3Ec/vzzT0ilUvTt25f6HWxgYCBsbW35iUVbt26lLouY5n7DzxIYGIiYmBiYmZkR+WIomAVWKpVCQ0MD7777LqZNm8bfrx0+fJi6mjGFEydO4Pjx47h7965STelff/0FDQ16/9fn5ubik08+6XT827x58whHqKypqQlWVlZKz2g8ZouIiICvry9qa2vx8ccf88Oqjx8/DgsLC7LBdWLDhg3w9vbGzZs34ezsjNraWuzatYt0WJ3avn07NmzYAENDQ6WkFtoS855mbm4OIyMj/iTj9u3b1NXJA+CP3tvq168fLC0tERQURF2lhImJCdEsZ3o/5Z8iFouRmZmJZcuWYerUqTh9+jQ4jsOWLVswbtw40uF1aNCgQRg7diyOHj2qVDeoq6uLr776imBkz7Z69WpBjX/r378/ysrK+F2WRCLBoEGDCEfV3vjx4zuc+uTk5AQnJycCEXXu/PnzGDJkCCwtLXHkyBHExsYiOTkZYrEYQ4YMIR1ep7777jucPXsWAwYMIB1KlwmlTh4Apk2bBnV1dXh5eQFozdjmOA56enoICAigrqveyJEjsWjRIkyfPl3piJhlET+l7b3fuHHjqF1U2zI3N4e5uTnmzJkjiKPstoQ0/m3Tpk1YtmwZSkpKYGpqiuHDh+PHH38kHVanhJCZu3z5ckgkEgCtJxpRUVGIjIzEpUuXsGzZMirHLQKAsbExDAwMSIfxQmJiYpCfn0/d7q8jubm5SElJ4f8+evRoODs7IyUlBfv37ycYWceamprQq1cvpaQsVqbTgaeHlj+N5pKXc+fOCaphutDGv7322muQSCRobGyEXC6n/s5NCJm5MpmMX6iSkpLg6+sLNzc3uLm5UXkfFxMTAwB4/fXXMWvWrHY7FtryBtoSUp18Q0MD8vPzMX78eACtn22Kagkar2VIVxgIZoGVyWRobGykLoO1K4TWMH3Lli1YuXIl7t69CzMzM4jFYn4xoNH9+/cRERGBnJwcqKmpYdKkSQgJCaF2RyCEzFy5XM7nPWRkZODrr7/mX5PJZAQj61htbS0AwMjICEZGRkpTdWglxDr5b7/9FoGBgWhoaADHcejbty++/fZbNDY24tNPPyUdXjvNzc2Ij49HcXExmpub+edbt25Vyc8XzAJrZGSEkJAQ0mH8LUJrmC608W8LFy7ElClT+GPLAwcOYMGCBfwRJ22EkJnr6ekJFxcXGBoaQktLi09uKS0tpS5WQHnQulAIsU5+3LhxOH36NB4+fAiO45R6PHt4eBCMrGP+/v4YMWIEUlNTERwcjAMHDmDkyJEq+/mC6UU8depUZGVlkQ7jbxFKw3SFjz76CBEREfybp66uDv/5z39U9q3vRYlEImRkZCg9s7e3x8mTJ8kE9BwXL15ESEgIrly5AlNTUz4zd8yYMaRDU5KXl4eqqiqIxWK+XOv69etoaGig9nfX09MT27dvV/rd9fPzo/J+UKGzOnkay/geP36M5OTkdr19ad38KNaNKVOm4PTp03jy5Almz56tsrpewexgk5OTSYfwt+Xn5wMALly4wD+jsWG6QlFRkdI3U319fRQUFBCM6NmmTp2KgwcP8t+gJRIJdVm5bSkyc0tKSsBxHEaMGEFlEtyECRPaPWs7aING1dXV7X537969SzCi5xNSnfzcuXOhp6cHS0tLpc0CrRTvq379+uHy5cswMjJS6axdwSywQssMbEsoDdMV5HI56urq+A+qBw8eUHnvprBz505s3boVfn5+AFrj79OnD77//nuoqanx83dpcu7cOX4XoEh2o7WeW0jU1dVx584dvpSIxn97BSHWyVdWVuLgwYOkw+iy+fPn8ydw3t7eaGxsxOrVq1X28+n8V+xhHj58iMjISL6uzcbGBsHBwdQO3Q4MDISTkxOfyi6RSPDZZ58RjqpzFRUVpEN4IX5+frh58ybMzc2VmiGwBfa/t3r1ajg7O8POzg4AkJWVpdT4nyZCrJOfOHEiioqKMHr0aNKhdIkiM9/W1pZI1YZg7mCFzMfHB6ampvzA8l9++QWFhYXYvXs34cg6V1xcjMzMTHAcB5FIRKxZdlfV1dXhxo0bSpmCtI4pmzhxIl8Gxbx8NTU1OHv2LDiOw6RJk6if+vLkyRNIpVJUVFRgxIgRpMN5Jmtra5SWlmL48OFEevu+KNI152yBVQFbW1ucOnXquc9Iq6+vh56eHh48eNDh67Qe08fFxSEmJgZ37tyBubk58vPzMWHCBGrvuH19fREZGUllt6me4ODBgygrK8OKFStQUVGB2tpaapOyAODo0aMIDQ1FS0sLCgoKUFBQgPDwcCon1HR2fzls2DAVR9I1Xl5efM15dnY2pFIp7OzsWLP/nkRbWxtnzpzhm5Hn5ORAW1ubcFTtLV68GPv27YNIJFLaXdHeGCMmJgZpaWmYNm0aDh8+jGvXrlF7xAa01sFaW1vDyspKaRdA4weq0AQFBeHJkyc4ffo0VqxYgT59+sDHxwfp6emkQ+tUREQEUlNT+Wk6FhYWKk3E6QrFl2/am7g8jXTNOVtgVSAqKgoBAQGor68Hx3EwMDAg3mGkI4o+ojRnDHekd+/e0NLSAtBaRjBy5EiUlJQQjqpzijGGzMuXm5uLzMxMTJ06FUDrqYuitpRWGhoa1OZjKDz95bttwx+av3yTrjlnC6wKWFhYIDs7m+8uQ2Ohflve3t7w9PTEO++8Ax0dHdLhPJexsTHq6urg4uICd3d36OvrY/DgwaTD6hSNrQZ7Ck1NTcjlcv4D9f79+9R1yXqaqakpDhw4AJlMhhs3biAmJgbW1takw1Ii1C/fpKdBsTvYbvSs3skAna3QAODUqVNISkpCSkoKrKysMHv2bDg7O/O7RJqdOnUK9fX1mDZtGnV1etOnT8exY8dgYmLS4RE8zSUltFO0ddy7dy8OHz6MixcvYt68eTh06BBCQkLg6elJOsROPXr0CFFRUUhLSwPHcXBwcEBQUBC177fCwsJ2jSZU1Tz/RcjlcuTl5cHKyopYzTlbYLuRgYEBzM3N4ejoiF69erXro0z7UaFMJkNmZiZ27dqF1NRU6haA5uZm7NixA2VlZTAzM4OPjw+19YNM97Kzs0NmZiYA4MqVKzh58iQ4joO9vT3MzMwIR9dzLFmyBEVFRRg1apRSiRmtXd4cHR1x4sQJYj+ffRp1o4yMDCQmJiIlJQWWlpbw8vJql0BEq6amJhw7dgyJiYn4448/8N5775EOqZ2AgABoampi8uTJOHHiBIqLixEZGUk6rE51lp2tQGuWthC0/fJqamoKU1NTgtF0zfPeUzQmveXn51M/vL6tt99+GxKJBK6urkQ+d9kOVkVyc3ORkJCAjIwMhIWF4Z133iEdUqcWLFiA/Px8TJs2De7u7pg6dSqV91iK/qJA6xGhWCzmdzE0srCwaJcgokBzoogQmJmZ4eOPP+70dRqvY9544w0MGTIEXl5esLKyavd7QeNdfWBgIAIDA6mvi1cwMTFBY2MjNDQ0oKWlpfLrGLaDVYHa2loUFBTg8uXLMDY2prrwXS6Xw8zMDNu2baN+tF7b42AhHA0LLUFESIQ4zvLatWtIT09HQkICDhw4AGdnZ3h6elK9+/b29oaTkxMGDhwoiEYTpLu8sR1sN9q9ezeSkpLQ3NwMNzc3eHh4UL24KpC+t+gqQ0NDfsoLx3FoamqCjo6OIJKGKisrcfv2baVEEVo7TwlB2ztYIXr8+DESEhKwdu1aBAcHw9/fn3RIHRo7diw2bNgAMzMzpVMtWhtNuLq6thsU09Gz7kL/134BW7p0KczMzGBiYoLU1FSkpaUpvU7jHQtA/t6iq+7fv086hL/l888/R2JiYrtEEbbA/n1C2rm29fjxY6SkpODgwYMoLy+Hv78/Zs2aRTqsTpmYmFB9vaXQ3NyMpqYm3Lt3D3V1dfzvR319PaqqqlQWB9vBdqPntUKk8Y4F+P97C3V1dWhrawtiRygk48ePR3Z2Nnr37k06lB7jwYMHgksS++ijj3DlyhU4Ojpi9uzZgsh2/uyzz/Dw4UNMnz5d6YiYtjKd6OhoREdHo6qqSqkmXldXF76+vvzkre7GFlgK+Pj4ID4+nnQYjIp4eXlh586d0NXVJR0KQ5CBgQF/xSGUuuiOEsloLNM5f/48jI2NIZFI4O/vj59//hnJyckYNmwYVq1apbIvY2yBpcDUqVORlZVFOgwex3HYv38/bt26heDgYFRUVKC6uhpWVlakQ+sRfHx8UFhYCJFIpLQL2LhxI8GoGKbnsLOzg0QigYGBAbKzs/Hhhx8iMjISly5dwrVr1xAXF6eSONgdLAVou+f87LPP8MorryAzMxPBwcHQ1dWlvmG6kNjb28PW1havvPIK1NXVqe3Yw6iGn58ffvzxx+c+o0FzczPi4+NRXFysNBqSth2sTCbjd6lJSUnw9fWFm5sb3NzcVHo1R19xI0Ncfn4+Nm3axN8R6uvrU98wXQikUinWrl2LDRs2YM+ePYiLi8OXX36JK1euYM6cOaTDYwgpLi5W+rtUKqW2Jtrf3x/V1dVITU2FjY0NKisrqbzqkMvlfIZ+RkYG7Ozs+NdkMpnK4mALLAVoy4DU1NSETCbjd9a1tbVUNpoQmtDQUDx48AB//PEHMjMzkZWVhYsXL6K+vh6hoaGkw2NUbPPmzTAxMUFRURGGDh2KoUOHwsTEBCNGjKA2U7e0tBRr1qyBjo4O5s6di/379+Py5cukw2rH09MTLi4u8Pb2hpaWFqZMmQKgNX5VDlthd7AqEB0djYCAgE6fpaWlQSwWkwitQ/v370diYiIKCgrg7e0NiUSCNWvWwN3dnXRogjZu3DicO3eu3ZWATCbDhAkTcP78eUKRMSStW7cOn3/+OekwukQsFiMtLQ0zZsxAVFQUjIyMIBaLqdxx5+XloaqqCmKxmE8mu379OhoaGmBpaamSGNgCqwIdFcHTltj0tGvXriEjIwNAa/xvvfUW4YiEz8rKCufOnXvh15ieTyiNR+Li4uDq6orCwkIsWbIEjY2NWL16NRYuXEg6NCqxJKdupGiBduvWLaXG3g0NDTA0NCQYWccePXoETU1NaGpqYuTIkVBTU8Px48dx9epVtsC+BG+99Rb27t0Lb29vpef79u3DiBEjCEXFkBYWFoaDBw8KovHIBx98AKC1hp/GXStt2A62G5WXl+PWrVtYv3690hGQrq4uxowZQ13/3BkzZuC7777DG2+8gdLSUojFYsyZMwdXr16FlZWVYI6xaFVZWQkfHx9oaWnB0tISampqOH/+PJqbm7F7924YGxuTDpEhQEiNR2pqarB+/XpUVVUhISEBxcXFOHv2LL/wMsrYAqsCN2/exKBBg/hyjKamJtTU1GD48OGEI1PWdjrNl19+ibq6OmzatAktLS2wt7entqG30GRkZKC4uBgcx8HU1BQikYh0SAxBQmo84uXlhXnz5mHTpk3Izs6GVCqFnZ0d+2zoBF1bqB5q/vz5OH78OP93dXV1zJ8/n+q60qysLCxduhQA0KtXL+pqdYVMJBKxRZXhaWtrY+rUqYJoPHLv3j14eHhg8+bNAFqnWLEKg86xBVYFpFKp0hunV69eVNaVjhkzBmvWrMGgQYP4I2IAqKurIxwZw/RcM2bMwIwZM0iH0SU6Ojq4f/8+/4U7Ly9PpWUvQsMWWBUYMGAAfvvtN7627ciRI+jfvz/hqNr75ptvEBMTg4qKCiQmJkJHRwcAcPXqVX43yzDMyzV37lw0NTWhoqKC+mS3DRs2wNvbGzdv3oSzszNqa2uxa9cu0mFRi93BqkBZWRkWL16MqqoqcByHIUOGICYmBq+//jrp0Dr0vLpdhmFenqNHjyI0NBQtLS0oKChAQUEBwsPDqRtnKZfLkZeXBysrK5SUlIDjOIwYMQKampqkQ6MWW2BVqKGhARzHoW/fvqRDeSYh1u0yjFCJRCIkJydj5syZ/HusbcIhTRwdHXHixAnSYQgGOyJWkZSUlHYNskNCQghG1J7Q6nYZpifQ0NBAv379SIfRJW+//TYkEglcXV1Z4mMXsAVWBf7973/j0aNHOHXqFHx8fJCcnIxx48aRDqudiRMnwsjICPfv30dgYCD/XFGhBrcjAAAIVElEQVS3yzDMy2dqaooDBw5AJpPhxo0biImJgbW1NemwOvT999+jsbERGhoa0NLSonp2LQ3YEbEKKI57FP9taGiAj48PkpKSSIfWqfLycpSWlsLe3h5NTU2QSqXUH20zjBA9evQIUVFRSEtLA8dxcHBwQFBQEBtj2AOwAiYVULxRdHR0cPfuXWhqauLWrVuEo+rcrl274Ovri+XLlwNo7UA0b948wlExTM+ko6OD0NBQpKen4+TJkwgNDaV2cXV1de3SM6YVOyJWgenTp6Ourg5Lly6FSCSCmpoa1a3FfvrpJ6SlpcHBwQEA8MYbb6C2tpZwVAzTM124cAFRUVEoLy9XavZPU5JTc3MzmpqacO/ePdTV1fEjNuvr61FVVUU4OnqxBbabyeVyiEQi6Ovrw83NDdOnT0dzczPVSQ29e/dWaozR9k3PMMzLtXjxYqxfvx5mZmbUdkWKjY1FdHQ0qqqqlLqQ6erqYtGiRQQjoxtbYLvZK6+8gjVr1vCp7b1796a+qbeNjQ2ioqLQ3NyM9PR0bNu2TTCdZhhGaAYMGEDtgHUFa2treHh4QCKRwN/fHz///DOSk5MxbNgwzJkzh3R41GJJTioQHh6O0aNHCya1XS6XIz4+Xinp4oMPPhBE7AwjNBkZGUhISGjXi5imu007OztIJBIYGBggOzsbH374ISIjI3Hp0iVcu3YNcXFxpEOkEltgVcDExISltjMM0yE/Pz9cu3at3TzYrVu3Eo7s/9nY2CA7OxsAsGLFCvTv3x+rVq0C0Dob9tSpUyTDoxY7IlaBiooK0iG8kJycHEREROD27duQSqX8FwI2YJlhXr7CwkKqEpo6IpfLIZVKoaGhgYyMDHz99df8azKZjGBkdGMLrAq4uroiOTn5uc9osXTpUoSHh8PS0hLq6uqkw2GYHm38+PEoLi7GqFGjSIfSKU9PT7i4uMDQ0BBaWlqYMmUKAKC0tJRN03kGtsB2I6Gmtuvp6cHR0ZF0GAzzPyEnJwd79+7F8OHDle5gadrVrlixAiKRCFVVVRCLxXw+hlwuR2RkJOHo6MXuYLtRdHQ0n9o+ePBgfoHt27cvfH194efnRzjCjoWFhUEmk2HWrFlKb3hLS0uCUTFMz1ReXt7h82HDhqk4EuZlYwusCvzwww/w9/cnHUaXzZw5s90zNTU1/PrrrwSiYZiebc2aNXj//fepPiJm/h62wKpIbm5uu04t3t7eBCPqmFwuh0QigYeHB+lQGOZ/QlxcHPbs2QOpVIp58+bB09OT6kY0TNexBVYF/Pz8cPPmTZibmyul4W/cuJFwZB2bMWMGjh49SjoMhvmfUlJSgj179iAhIQGTJk3CBx98ADs7O9JhMf8FtsCqwMSJE5GbmyuYRg0bN26EtrY2PDw80KdPH/65gYEBwagYpueSyWQ4duwY9uzZgzt37sDDwwNnzpxBnz59sGPHDtLhMX8TW2BVwNfXF5GRkRg0aBDpULrEwsKi3TNWB8sw3WP16tU4evQoRCIRfHx8YGVlxb82fvx45OfnE4yO+W+wBVYFZs6ciUuXLsHKykopK/eXX34hGBXDMDSIj4+Hp6cndHR02r328OFDdh8rYGyBVYHO2ojZ2tqqOJKuefToEbZu3YqKigp88803uHHjBkpKSjB9+nTSoTFMj1RXV4cbN26gubmZf2ZjY0MwIuZlYAusitTU1OD8+fMAACsrK7z66quEI+rcggULYGlpiV9++QVnzpxBU1MTHB0dWb9RhukGcXFxiImJwZ07d2Bubo78/HxMmDCBlcX1AHQOH+xhkpKSIBaLcejQISQlJcHBwQESiYR0WJ0qKyvDsmXLoKHR2uhLW1ubb5LBMMzLFRMTg7S0NAwdOhSHDx9GZmYmBgwYQDos5iVgrRJVYNOmTUhPT+d3rbW1tXBzc4ObmxvhyDrWq1cvNDU18VnPZWVl1M+wZRih6t27N7S0tAAAjx8/xsiRI1FSUkI4KuZlYAusCnAcp3QkbGhoSPWOcOXKlfD09MSdO3ewePFi5OTkUDU6i2F6EmNjY9TV1cHFxQXu7u7Q19fH4MGDSYfFvATsDlYFQkNDUVRUBE9PTwCtR8ajR4/GunXrCEfWufv37yMvLw8cx2HChAno378/6ZAYpsc7deoU6uvrMW3aNKWKA0aY2ALbjUpLS1FTU4NJkyYhOTkZOTk54DgO+vr6+Ne//oV//OMfpEPskNDG6zGMEDU3N2PHjh0oKyuDmZkZfHx8+LwHpmdg/5rdaNWqVQgNDQXQukC5uroCAC5cuICVK1di3759JMNrR6jj9RhGiAICAqCpqYnJkyfjxIkTKC4uZqPfehi2wHaj8vJyjBkzpt3zsWPH4vbt2wQierbY2Fh+vJ5IJFIar7do0SLC0TFMz3L16lV+5quPjw/EYjHhiJiXjS2w3aht0fjTmpqaVBhJ1wQEBCAgIEBw4/UYRojaHgezo+Geid3BdqMPP/wQdnZ28PX1VXoeFxeH9PR0xMbGEors+YQyXo9hhMrQ0JAfpsFxHJqamqCjowOO46CmpkblKRfzYtgC241qamrw/vvvQ1NTE5aWlgBa71+fPHmC3bt3w8jIiHCEHRPaeD2GYRgasQVWBTIzM3HlyhUAwKhRoyASiQhH9GxCG6/HMAxDI3bwrwJ2dnaCGpxsamqK6upqwYzXYxiGoRFbYJl27t27B2trazZej2EY5r/AFlimnZUrV5IOgWEYRvDYHSzDMAzDdAO2g2V4JiYmHSY2sbIBhmGYF8d2sAzDMAzTDdjAdYZhGIbpBmyBZRiGYZhuwBZYhmEYhukGbIFlGIZhmG7AFliGYRiG6QZsgWUYhmGYbvB/DwFtmyzQvQIAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 504x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 504x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Ujwtw7NixRFMuxYoVSzVhSHhTuHz5cqrH+LfMPld4fL5pOdeMsrW1ZdWqVYwfP55Vq1YxbNgw4PGn/5YtWzJ8+PAUK0mWOmdI2/c4Ke3bt2f69OksXLiQ8PBwcubMyQcffJDiNjNmzKBfv344ODhQr149ihUrRp48eTAYDKxbt47jx49z7969dMeS0b9RDg4O1K5dm6VLl2JnZ0eHDh0ytB9RwpBtJfyBiIiISHJ9Qik4YVzCp4uET8hPSm4/mSFHjhx4enqyaNEi6tWrx+zZs/H19cXPz880JiHOhQsX0qxZs1T3+bTnk9wn3oQ4zp8/n+aSZeHChZk0aRITJ07k9OnT7Nmzh3nz5jFt2jRiYmLMko82bdrQpk0bbt68ycGDB9m4cSMLFiygTZs2/Prrr5QuXTrZ4/z7e57Uzb2e/J5npv/85z/85z//Sfd2Cb0qv/76K/Hx8WYl85Sk9+fbEhKmGJJ6s02uUuHg4MCIESMYMWIEFy5cYO/evSxatIglS5bw999/p5gMPw/n/CQPDw9q1KjB0qVLiYuLo0mTJskm6fC4NyYoKAgXFxd27tyZqIpw8ODBDMeS3ipVgjVr1rB06VIcHR1NV5JkdjX1RaEehmwq4eqH5C75SmjKSyjPlilThrx583Ly5EliYmISjU8oxVtSzpw5+frrrwEYNGiQ2R/iatWqAaR6dUOCl156iRIlShAeHs758+cTrc/o+STEsXfv3nRvazAY8PDwoFOnTmzYsIHcuXMne536Sy+9RIMGDRg7diyffvopd+/eZcuWLSnuP6XveWRkJCdPnsTe3h53d/d0x24pb7zxBmXKlOHKlStpusQv4ZNnaj/fCZfZWvImTwlJ2aVLlxKtS+6y4H8rUaIEH374IWvXrqVo0aLs2rUryd+9BGXKlMHOzo4TJ04k2QT7LM45Ke3atSMqKoq7d++meqVLVFQUMTExeHt7J0oWEm7S9aSnrYKk5MKFC3z22WcUKFDAdFXU6tWrmTNnTqYf60WghCGbatKkCS+//DKrV69mz549ZuuWLFnC4cOHKVu2rOkNMFeuXLRs2ZJbt24lmg44ceIE3333XZLHiYmJ4fTp0/z999+ZEvebb75JgwYNOHPmDEuXLjUtb9y4Ma+++irz589P9jK/o0ePmqYM4PG11EajkWHDhvHo0SPT8itXrjBjxowMxdelSxdy5crFoEGDTP0S/xYfH2/2JnbixIkk73lx/fp1Hjx4YDZ3/csvvyTZ7JXwyTG1ee6EJsUJEyaYXQZqNBoZPHgwt2/f5oMPPiBnzpwpn+QzZGNjw6RJk8iZMyf9+/dnyZIlSXbXh4WF0aFDB1OTro+PDx4eHhw6dMh0ZU2CnTt3snbtWhwdHWncuLHFYk/43Vm8eLHZ9y0qKor/+7//SzT+woULnDhxItHy2NhY4uLiyJEjR4pXiuTMmZP33nuP27dvM2zYMLOv09WrV5k4cSIGgyFDVzw8jZYtW7J48WKWLFli6qNIjpOTE3Z2dhw+fJjY2FjT8gcPHtCvX78kE6GEaZqkErOn8eDBAz7++GNiYmL45ptvKF68OMHBwRQpUoSBAwea7uEgaacpiedUSjdQGjlyJI6OjkyfPp127drRokULmjVrRokSJTh+/DibN2+mQIECBAcHm5Xxhg4dyq5du5g6dSqHDh2iRo0aRERE8NNPP+Hr68u6devMrjYA+Pnnn+nRowdvvPFGkh3pGTFo0CC2bt3K6NGjeffdd8mdOzc5c+Zk8eLFtGrVig8//JCqVavy2muvYW9vz+XLlwkNDeXMmTPs2rXL1G3es2dP1q1bx6pVq/jrr7+oX78+sbGx/PTTT9SoUSPJ80mNu7s706dPp0ePHtSoUQNfX19KlSpFfHw8ly9f5sCBA9y7d4+LFy8Cjy/xGzhwINWqVaNMmTI4OzsTHh7O+vXrefToEb169TLt++OPPyZXrlzUqFEDNzc3DAaD6XLHEiVK0KJFixRj8/b25osvvmDChAnUqFGDFi1a8NJLL7F9+3aOHj2Kl5dXkm9kWa1mzZosWbKELl260KNHD8aNG0etWrVwcnIiNjaWY8eOERISgo2NDYGBgcDjak1wcDAtWrSga9eu/PTTT6b7MKxZs4ZcuXIxY8aMZK/DzwyVK1emTp067Ny5k7p161K3bl1u3LjB5s2bqVOnDsePHzcbf/z4cdq2bUvFihXx8vKicOHCREdHs2nTJm7cuEGPHj2wt7dP8ZhDhgxh3759LFy4kNDQUOrWrWu6D8ONGzfo06ePxS6BTU6ePHlo2rRpmsba2NgQEBDAxIkTqVmzJo0bN+bBgwfs3r2bGzduUKtWrURVI3d3d4oVK8a+ffv45JNPKFWqFLa2tvj7+1O+fPkMxz1kyBAOHTrEJ598YprmdHR0ZM6cObz99tt06tSJHTt2JNksKklTwvCcSum+9v369cPR0ZFGjRqxefNmJkyYwM6dO1m9ejVOTk588MEH9OnThxIlSpht5+zszObNmxk+fDi//PILhw8fpnTp0owdOxZ7e3vWrVv3TOZHX3/9ddNtZefOnWtqnPPy8mLPnj0EBwezfv16li1bhtFoxMXFBU9PTz777DOzcnvevHlZu3Yto0aNYs2aNQQHB1O8eHECAwOpWbNmhs+ndevWlC9fnmnTprFz5062b99Onjx5cHV1xdfXl+bNm5vGNmjQgEuXLrFv3z42btzIzZs3cXZ2xtvbm65du5rd32Lo0KFs27aNY8eOsXXrVnLkyEHRokXp27cvAQEBaXro2ODBg6lYsSKzZs1i+fLl3Lt3j+LFi/PVV1/Rs2fPdHfCPysNGzbk8OHDzJs3jy1btvDzzz9z8+ZN7OzsKFWqFL169eKjjz4yu+Nm5cqV2bFjB2PHjmXHjh1s3bqVAgUK0KRJE7788kvTzX8sadGiRQwbNoyff/6Z2bNn4+bmxmeffcann35qupdAgtdff50vv/ySX3/9le3bt3Pjxg1efvllypQpw6hRo1JNCOHxNMimTZuYPHkya9asYfr06eTOnZuKFSsSEBCQpv6erDZw4EAcHR1ZtGgR3377LS+99BJ169Zl0KBBSV4BZWNjw5IlSxgyZAibN2/m5s2bGI1GihQpkuGEYcOGDUyfPp0KFSowcuRIs3U1a9akf//+jBw5ki+++IJZs2Zl6BgvIkN0dHTSd9+QF8qIESMYP348kyZNsoou4gULFtCzZ8903ehFRESSpx6GF8zVq1cTLfvjjz+YOXMmOXPmxN/fPwuiyrikzufSpUumPo3s8IlMRCQ70JTEC+att96iWLFieHl5me7xvnnzZh4+fMjIkSMT3bL4edepUyfu3LlDpUqVKFCgABcvXmTTpk3cvn2bgICAZ95RLiJirTQl8YIZN24cGzZs4Pz589y8eZN8+fLx+uuvExAQYHpwUnby7bff8v3333P27Fmio6PJmzcv5cqVo127dqneYEZERNJOCYOIiIikSj0MIiIikiolDCIiIpIqNT0+Z1zrDszqEKzS7tkdqPXJt1kdhlW6cTDlB3XJ0zl+5DfKV3q2N2t6EdyLS/423ZnFtV7Gb6R2bfuITIwkc6jCICIiIqlShUFERMQSMviEzeeVKgwiIiKWYLDJ+CsZt27dol+/fpQvXx5XV1caNmzI77//blpvNBoJCgrC09MTV1dXmjRpwsmTJ832ER0dTZcuXXBzc8PNzY0uXbok+8j2f1PCICIiYgkGQ8Zfyfj888/Ztm0bwcHB7N27l3r16tGiRQuuXLkCwOTJk5k2bRqjR49m27ZtODk5mZ5UnKBz586EhoayfPlyVqxYQWhoKAEBAamejhIGERGRbODOnTusWbOGIUOGUKtWLV599VX69+9PyZIlmTdvHkajkeDgYHr16kXz5s3x8vIiODiY2NhYVqxYAcCpU6fYsmULkyZNwsfHB29vbyZOnMimTZs4c+ZMisdXwiAiImIJmTwl8fDhQ+Lj48mTJ4/Z8rx587Jv3z7CwsIIDw+nfv36Zutq1qzJgQMHAAgJCSFfvnz4+PiYxlSvXh17e3vTmOQoYRAREbGETJ6SyJ8/P97e3owbN44rV64QHx/P999/T0hICOHh4YSHhwPg5ORktp2TkxMREREARERE4OjoiOFfxzAYDBQqVMg0JjlKGERERCzBAk2PM2fOxGAw4OXlhbOzMzNnzqR169bY2tr+77BPJBxGozFRgvCkJ8ckRQmDiIhINlGyZEnWr1/P5cuX+eOPP9i2bRsPHjygePHipqcNP1kpiIyMNFUdnJ2diYyMxGj832OkjEYjUVFRiSoTT1LCICIiYgkWuEoigb29Pa6urkRHR7N161YaN25sShq2b99uGnf37l327dtn6lnw9vYmNjaWkJAQ05iQkBDi4uLM+hqSohs3iYiIWEIKUwsZtXXrVh49eoS7uzvnz5/n//7v/3B3d+c///kPBoOBbt26MX78eNzd3SldujTjxo3D3t6e1q1bA+Dh4YGvry+BgYFMnjwZo9FIYGAgfn5+uLu7p3hsJQwiIiLZxM2bNxk2bBhXrlyhYMGCNGvWjEGDBpEzZ04AevbsyZ07d+jduzfR0dFUqVKFlStXkj9/ftM+Zs+eTd++fWnVqhUA/v7+jBkzJtVjK2EQERGxBAvcGrply5a0bNkyhUMa6N+/P/379092TMGCBZk1a1a6j62EQURExBIsMCWRlZQwiIiIWIIePiUiIiIvGlUYRERELEFTEiIiIpIqJQwiIiKSKhv1MIiIiMgLRhUGERERS9CUhIiIiKTKyi6rVMIgIiJiCVZWYbCusxERERGLUIVBRETEEjQlISIiIqnSlISIiIi8aFRhEBERsQRNSYiIiEiqrGxKQgmDiIiIJVhZhcG60h8RERGxCFUYRERELEFTEiIiIpIqK5uSUMIgIiJiCVZWYbCusxERERGLUIVBRETEEqyswqCEQURExBKsrIfButIfERERsQhVGERERCxBUxIiIiKSKiubklDCICIiYglWVmGwrrMRERERi1CFQURExBI0JSEiIiKpMShhEBERkdRYW8KgHgYRERFJlRIGERERSzA8xSsJ8fHxjBw5kooVK+Li4kLFihUZOXIkDx8+NI0xGo0EBQXh6emJq6srTZo04eTJk2b7iY6OpkuXLri5ueHm5kaXLl2Ijo5O9XSUMIiIiFiAwWDI8CspkyZNYs6cOYwePZqQkBC+/vprZs+ezYQJE0xjJk+ezLRp0xg9ejTbtm3DycmJli1bcuvWLdOYzp07ExoayvLly1mxYgWhoaEEBASkej7qYRAREbGAzO5hCAkJoVGjRvj7+wNQvHhx/P39OXToEPC4uhAcHEyvXr1o3rw5AMHBwbi7u7NixQo6duzIqVOn2LJlCxs3bsTHxweAiRMn4u/vz5kzZ3B3d0/2+KowiIiIZAPVq1fn119/5fTp0wD8+eef7N69m7feeguAsLAwwsPDqV+/vmmbvHnzUrNmTQ4cOAA8Tjry5ctnShYS9mtvb28akxxVGERERCwgsysMvXr1IjY2Fh8fH2xtbXn48CFfffUVnTt3BiA8PBwAJycns+2cnJy4evUqABERETg6OprFZjAYKFSoEBERESkeXwmDiIiIBWR2wrBy5Uq+++475syZg6enJ8eOHaNfv364ubnRrl27ZI9rNBoTJQhPenJMUpQwiIiIZAODBw/m008/5Z133gGgXLly/P3330ycOJF27drh4uICPK4iFC1a1LRdZGSkqerg7OxMZGSkWYJgNBqJiopKVJl4knoYRERELCGTL6u8ffs2tra2ZstsbW159OgR8LgJ0sXFhe3bt5vW3717l3379pl6Fry9vYmNjSUkJMQ0JiQkhLi4OLO+hqSowiAiImIBmT0l0ahRIyZNmkTx4sXx9PQkNDSUadOm8f7775uO161bN8aPH4+7uzulS5dm3Lhx2Nvb07p1awA8PDzw9fUlMDCQyZMnYzQaCQwMxM/PL8UrJEAJg4iIiEVkdsIwZswY/vvf//Lll18SGRmJi4sL7du3p0+fPqYxPXv25M6dO/Tu3Zvo6GiqVKnCypUryZ8/v2nM7Nmz6du3L61atQLA39+fMWPGpH4+0dHRxkw9I3kqrhY9vy4AACAASURBVHUHZnUIVmn37A7U+uTbrA7DKt04ODWrQ7Bqx4/8RvlKVbM6DKtzLy7G4sco0ePnDG97YVrTTIwkc6jCICIiYgHW9vApJQwiIiIWoIRBREREUmdd+YIuqxQREZHUqcIgIiJiAZqSEBERkVQpYRAREZFUWVvCoB4GERERSZUqDCIiIpZgXQUGJQwiIiKWoCkJEREReeGowiAiImIB1lZhUMIgIiJiAUoYREREJFXWljCoh0FERERSpQqDiIiIJVhXgUEJg4iIiCVY25SEEgYRERELsLaEQT0MIiIikipVGERERCzA2ioMShhEREQswbryBU1JiIiISOpUYRAREbEATUlYkaCgINasWcO+ffuyOhTJgHx2uRnQtSlN675GoYL5OHb6Ev3Gr+DwiYvksLVhULe38a3pRYmihciVw8DsER0YNnU1l8JvmPaRK2cORvRsyTt+VciTOye7Dp7mq9HfcyUiOutOTKzant/PMnXxFo7++TdX/4lh2uC2fPh2ddP6tduO8O1Pv3L0z0tERccy5Ss/ylcy30fPkUvZ9dtprkXGYJ83N94VSzLk0+Z4lHR9xmcjKbG2hCHLpiS6deuGg4MDY8eONVu+e/duHBwciIqKeupjrFmzhrfffhs3NzeKFClCzZo1GTFiBP/8889T71uy3uRBH1K/elm6DV3EGx+MYtv+P1k17TMKOxXALk8uKnoWY/z8TdT9aDQXz//FKy4OLJ/SHVvb//3YB33xDm/Xr0Tngd/S+JOJ5LfPw3cTu2JjY12/6PL8iLtzj7KlihD0ZWvy5s6ZeP3d+3hXfJWRga2S3UclLzemDWnLgR8G8eM3PTAajbTs8Q0PHsZbMnRJJ4PBkOHX8yhLexjy5MnDlClTiIyMzPR9jxgxgg4dOlChQgW+//579u/fT1BQEBcvXmTu3LmZfrx/u3//vkX3L5And06a1avEsKmr2fP7Gc5fimT07PWc+/sfOr1Ti5txd2n16VR++uV3zoZFcOd2HIFB3+H5amE8Sjz+FPaSfR7aNq/BkCk/sSPkT0JPXaLrkAWUK12Eut6eWXyGYq0avlGOwT2a0bzB60kmpu839qbvJ415q6ZXsvvo2OpNar5eGrcijrzmWYyB3d7m6j8xXLiU+X9LRRJkacJQq1YtihUrxpgxY1Ict2fPHho0aICLiwvu7u70798/xTflQ4cOMX78eIYPH86oUaOoUaMGbm5u1KlTh9mzZ9O1a1ez8T/++COVKlWiaNGifPjhh2bVjW7duvHee++ZjQ8KCqJGjRqJxkyaNAkvLy+8vB7/oleoUIGxY8fSq1cvihUrhpeXF1OmTEnz10eSl8PWhhw5bLl3/6HZ8rv3HlC9Uqkkt8lvnweA6Fu3AXitrBu5cuZg2/4/TWMuh0dz6kI43hVLWihykcwVd+ceS9fup6hrQdyKvJzV4ci/qMKQmQe3sWHo0KHMnz+f8+fPJznmypUrtGnThooVK7Jr1y6++eYbfvzxR4YNG5bsfn/44Qfs7e0JCAhIcr2Dg4Pp/y9evMjKlStZvHgxK1euJDQ0lBEjRqT7XPbs2cMff/zBihUrWL16tWn59OnT8fLyYufOnfTs2ZPBgwcTEhKS7v2Ludjb9wgJPcdXnfwo7FQAGxsD7/pXo1qFkrgUeinReIPBwMheLdmw65ipP8HF8SUePownKjrWbOw/UTdxcUy8D5HnyZzluyha+wuK1v6SLXtPsHr65+TOlXiKQ7KQ4Slez6Esb3ps2LAhPj4+jBgxgnnz5iVaP3fuXFxcXBg/fjw2NjZ4eHgwZMgQAgMDGThwIHZ2dom2OXfuHCVKlCBnztR/eR4+fMj06dMpUKAAAB06dGDJkiXpPo/cuXMzdepUcufObba8fv36dOnSBYCAgABmzpzJzp078fb2TnI/u2d3SPexX1S5csTxyqslOLH+vxiNRu7cvs2tmBsUc3kp0dexqFtJcufJy/mzf5rWFXB4GVtbm0RjS5QqTPmSBan6qvlySdrxI79ldQjZ1qNHj7h08TzHjyT+Uxx9667p/5P6Gpd/JQezBzYlKuY2323+g/d7fsP0vo3JkzvL/6xnC+7u7hY/xvNaKcio5+Ina/jw4fj6+vLZZ58lWnfq1CmqVauGjc3/iiE1atTg/v37nDt3jvLlyyfaxmg0pvnYxYoVMyULAK6urhnqqShbtmyiZAGgXLlyZv92dXVNsemy1iffpvvYLzq7PLnIb5+H8KibzB3VkXx5c/Ne4LcA2NraMGdkB9w981KxxXAiom6ZtqtVtQxrgj+nRe8VZlWGvd8PZM3Ww3w9a/2zPpVs6cbBqVkdQrZlY7OUom4lKV+paqJ1j38mvwNIcv2/vduyESXr9+FslA3vN055rDx2Ly4mq0PIdp6LGzdVrlyZZs2aMWTIkETrjEZjsllacstLlSrFhQsX0tR8+GQVwmAw8OjRI9O/bWxsEiUgDx+az5sD2Nvbp3n/6UloJHW3794nPOomBfLnpUH1sqzfdQx43Ocwb1Qnyrm/wvmzp82SBYCjJy9y/8FD6vn8r8GxiLMDHiVcCAlNeopM5HlkNBoxGo3cv5/4b5NkHfUwWMjgwYPZt28fW7duNVvu6enJwYMHzd7E9+3bR65cuShZMunGtDZt2hAXF8esWbOSXB8dnfZr7AsVKsS1a9fMlh07dizN24vl1K9eFt+aXrgVcaSutydrZ/TkTFgES9bsw9bWhm+//piq5UvQeeB8wIizY36cHfOT5/9fynYz7i6LV+9j2OctqOPtQYUyRZkxrB1/nL3CjpA/Uz64SAbF3r7HsVOXOHbqEo8eGbl07QbHTl3i72vXAbgRE8exU5c4+dcVAC5F3OLYqUuER94E4Nzf/zBpwS8cOXmRv69d58DRc3ToN5dcuXLg92biiqtkHYMh46/n0XOTMLz66qt06NCBGTNmmC3/+OOPuXbtGl9++SWnTp1i06ZNDBs2jE8++STJ/gWAqlWrmhoMBwwYwP79+7l48SK7d++mS5cuiY6Rktq1axMaGsqiRYs4d+4ckydPZv/+/U91rpI5XsqXhzG92xCyfBDBwz5i/5G/eOfTqTyMf0QRZwea1H2NIs4O7FzcD8/ylTi1MYhTG4No+VZl0z4GTPyRn7cfZd5/O7Fx7hfE3bnHB1/M4NEjVYHEMo6cDKN226+p3fZr7tx7QNCsddRu+zVBM9YBsGHXMWq3/Zq3uz6+omrMwr3Ubvs181fuBh7fbOzXQ2do03M6VVoOo9OAeeSzy8PmeV8m2fArWSezKwwVKlTAwcEh0evdd981jZkzZw4VK1bExcWFOnXqsHfvXrN93Lt3j969e/Pqq69SpEgR3n//fS5fvpym83kuehgS9OnTh2XLlpktK1KkCMuXL2fw4MHUqlWLAgUK0Lp1awYPHpzivoYNG8brr7/O7NmzWbx4MQ8fPqR48eI0btyYzp07pzmmBg0a0LdvX0aOHMmdO3do06YNnTt3ZsOGDRk6R8k8q7YcZtWWw0mu+/vqdQpW+9T0792zOyTZH3Lv/kP6jltO33HLLRSliLk3q5RJse/jw7erm9358fiR38x6GIq6FmTFlO4WjVGeT9u3byc+/n8357p27Rp169alRYsWAKxcuZJ+/foxfvx4qlevzpw5c2jTpg379++nWLFiAPTv35/169czd+5cChYsyMCBA3nvvffYuXMntra2KR7fEB0drY9SzxHXugOzOgSrlFzCIE9PTY+W9WTCIJnjWTQ9Vvtvxh87cHBgjVTHjBs3jilTpvDnn39iZ2dHgwYNKFeunNn9fipXrkzz5s0ZMmQIMTExlC5dmmnTppmqEpcuXaJChQqsWLGCBg0apHi852ZKQkRExJpYsunRaDSyaNEi3nvvPezs7Lh//z5Hjhyhfv36ZuPq16/PgQMHADhy5AgPHjwwG1O0aFE8PDxMY1KihEFERCSb2b59O2FhYXz00UcAREVFER8fj5OTk9k4JycnIiIiAIiIiMDW1hZHR8dkx6TkuephEBERsRaWvNphwYIFVK5cmYoVKz5xTPODpnRrgvSMAVUYRERELMLGxpDhV0r++ecf1q9fT/v27U3LHB0dsbW1TVQpiIyMNFUdnJ2diY+PT/Q06H+PSfF80nriIiIiknaWug/D0qVLyZ07N61a/e8R6Lly5aJSpUps377dbOz27dvx8fEBoFKlSuTMmdNszOXLlzl16pRpTEo0JSEiIpJNGI1GFi5cSKtWrcifP7/Zuh49ehAQEECVKlXw8fFh3rx5XLt2jY4dOwJQoEABPvroIwYPHoyTk5Ppsspy5cpRt27dVI+thEFERMQCLHGL5927d/PXX38leSfjVq1acf36dcaOHUt4eDhly5blhx9+wM3NzTRm1KhR2Nra0rFjR+7evUvt2rWZMWNGqvdgACUMIiIiFmGJpsfatWun+HiDzp07p3hzwjx58jB27FjGjh2b7mMrYRAREbGA5/UhUhmlpkcRERFJlSoMIiIiFmBtFQYlDCIiIhZgZfmCEgYRERFLsLYKg3oYREREJFWqMIiIiFiAlRUYlDCIiIhYgqYkRERE5IWjCoOIiIgFWFmBQQmDiIiIJVjblIQSBhEREQuwsnxBPQwiIiKSOlUYRERELEBTEiIiIpIqK8sXlDCIiIhYgrVVGNTDICIiIqlShUFERMQCrKzAoIRBRETEEjQlISIiIi8cVRhEREQswMoKDEoYRERELMHapiSUMIiIiFiAtSUM6mEQERGRVKnCICIiYgFWVmBQwiAiImIJ1jYloYRBRETEAqwsX1APg4iIiKROFQYREREL0JSEiIiIpMrK8gUlDCIiIpZgY2UZg3oYREREJFVKGERERCzAYMj4KznXrl2ja9eulCpVChcXF3x8fPj1119N641GI0FBQXh6euLq6kqTJk04efKk2T6io6Pp0qULbm5uuLm50aVLF6Kjo1M9n2SnJLy9vdPdsGEwGNi/f3+6thEREbFGmd30GB0djZ+fH9WrV+eHH37A0dGRsLAwnJycTGMmT57MtGnTmDZtGu7u7owZM4aWLVty8OBB8ufPD0Dnzp25dOkSy5cvx2Aw8PnnnxMQEMD333+f4vGTTRjKly9vdR2eIiIi2dWUKVNwdXVl5syZpmUlSpQw/b/RaCQ4OJhevXrRvHlzAIKDg3F3d2fFihV07NiRU6dOsWXLFjZu3IiPjw8AEydOxN/fnzNnzuDu7p7s8ZNNGObNm/e05yYiIvLCssnkz9zr1q2jQYMGdOzYkd27d+Pq6kq7du345JNPMBgMhIWFER4eTv369U3b5M2bl5o1a3LgwAE6duxISEgI+fLlMyULANWrV8fe3p4DBw6kmDCoh0FERMQCDAZDhl9JuXDhAnPnzqVEiRL8+OOPdO3alWHDhjF79mwAwsPDAcymKBL+HRERAUBERASOjo5mxzAYDBQqVMg0JjnpShji4uL45ptvePfdd6lXrx6///47ADdu3GDGjBlcuHAhPbsTERGxWpnd9Pjo0SNee+01hgwZwmuvvUbbtm0JCAhgzpw5TxzXfAdGozFRgvCkJ8ckJc33YQgPD6dJkyacP3+eYsWKcfHiRW7dugWAg4MDM2bM4OLFi4waNSqtuxQREZE0cnFxwcPDw2xZmTJluHTpkmk9PK4iFC1a1DQmMjLSVHVwdnYmMjLSLEEwGo1ERUUlqkw8Kc0VhiFDhhAZGcnWrVvZunUrRqPRtM5gMNC0aVO2b9+e1t2JiIhYNcNT/JeU6tWrc/bsWbNlZ8+epVixYgAUL14cFxcXs/fiu3fvsm/fPlPPgre3N7GxsYSEhJjGhISEEBcXZ9bXkJQ0Jwy//PILAQEBVKpUKcmyRcmSJbl8+XJadyciImLVbAwZfyWle/fuHDx4kHHjxnHu3DlWrVrFrFmz6Ny5M/D4w3u3bt2YNGkSa9as4cSJE3Tv3h17e3tat24NgIeHB76+vgQGBnLw4EFCQkIIDAzEz88vxYZHSMeURFxcHEWKFEl2/d27d4mPj0/r7kRERKxaZt+aoHLlyixZsoThw4czduxYihYtyoABA0wJA0DPnj25c+cOvXv3Jjo6mipVqrBy5UrTPRgAZs+eTd++fWnVqhUA/v7+jBkzJtXjpzlhePXVVzl8+DDt27dPcv327dspW7ZsWncnIiIi6eTn54efn1+y6w0GA/3796d///7JjilYsCCzZs1K97HTPCXRtm1bli5dyqpVq0z9CwaDgfv37zNixAi2bdtGhw4d0h2AiIiINbLEraGzUporDN26deP48eN07NiRggULAtC1a1eioqK4f/8+HTp0oG3bthYLVEREJDuxtqdVpjlhMBgMTJ8+nffee49Vq1bx119/8ejRIxo0aMA777xD3bp1LRimiIiIZKU0JwwJ6tSpQ506dSwRi4iIiNWwsgJD+hOGO3fusG/fPv7++28A3Nzc8PHxwc7OLtODExERya6s7QGO6UoYpk+fztdff01sbKxZ42O+fPno06cPn376qUWCFBERyW6sLF9Ie8Iwbdo0Bg0ahI+PD506daJ06dIYjUbOnj3LvHnzGDx4MAaDgR49elgyXhEREckCaU4YZsyYQa1atVi1ahU2Nv+7GrNKlSq0bt2a5s2bM2PGDCUMIiIiWN9VEmm+D0NkZCTNmjUzSxYS2Nra0rx5c6KiojI1OBERkezK8BSv51GaKwyvvfYap0+fTnb9mTNnqFixYqYEJSIikt29sE2PX3/9NW3atOHVV1+lQ4cO5MmTB3j8DIl58+bx008/sXz5cosFKiIiIlkn2YShdu3aiZblzp2bAQMGMHToUAoXLozBYODKlSvcv3+fIkWK0LNnT3bu3GnRgEVERLKD5J46mV0lmzDkypUrUTmlcOHCFC5c2GyZo6OjZSITERHJxl6YKYktW7Y8yzhERESsipXlC2m/SkJEREReXOm+NbTRaOT8+fPExMTw6NGjROurVKmSKYGJiIhkZy/MlERSxo4dy/Tp04mJiUl2zPXr1586KBERkezO2poe0zwlMW3aNEaNGsVbb73FpEmTMBqNDBgwgKCgIEqXLk2FChVYtmyZJWMVERGRLJLmhGHBggU0atSIWbNm0bRpUwCqVatGQEAAO3fu5P79+xw9etRigYqIiGQnBoMhw6/nUZoThrCwMHx9fR9v9P9vD33//n0A8ubNywcffMDixYstEKKIiEj288LeGrpAgQLcvXsXgJdeeomcOXNy+fJl03o7OzsiIyMzP0IREZFs6IV9+JSHhwfHjh17vJGNDZUrV+bbb78lKiqKiIgIFixYQKlSpSwWqIiIiGSdNFcYWrduzaxZs7h79y558uRhwIABtGnTBnd3d+DxEysXLVpksUBFRESyEysrMKQ9YWjfvj3t27c3/bt27drs2bOHn3/+GVtbW3x9fSlbtqxFghQREcluntfmxYxK942b/q106dL06tUrs2IRERGxGlaWL+jW0CIiIpK6ZCsM3t7e6S6nGAwG9u/f/9RBiYiIZHfWdpVEsglD+fLlrW7+RURE5FmxtrfQZBOGefPmPcs4RERErIq1feh+qqZHyXzndkzI6hCs0uUzofraWkjkrXtZHYLV09c48+VXB1+6KWEQERGxAGvLSZQwiIiIWIC1TUlYWwIkIiIiFqCEQURExAJsDBl/JSUoKAgHBwezV5kyZUzrjUYjQUFBeHp64urqSpMmTTh58qTZPqKjo+nSpQtubm64ubnRpUsXoqOj03Y+Gf5KiIiISLIyO2EAcHd359SpU6bX3r17TesmT57MtGnTGD16NNu2bcPJyYmWLVty69Yt05jOnTsTGhrK8uXLWbFiBaGhoQQEBKTpfNLdwxAeHs6+ffv4559/aNKkCUWKFCE+Pp64uDjy5cuHjY1yEBEREUv0MOTIkQMXF5dEy41GI8HBwfTq1YvmzZsDEBwcjLu7OytWrKBjx46cOnWKLVu2sHHjRnx8fACYOHEi/v7+nDlzxvQwyeSk6919+PDhVKhQgY4dO9K3b1/OnDkDwK1btyhbtiyzZs1Kz+5EREQkHS5cuEDZsmWpWLEinTp14sKFCwCEhYURHh5O/fr1TWPz5s1LzZo1OXDgAAAhISHky5fPlCwAVK9eHXt7e9OYlKQ5YZg+fToTJ06kY8eOfP/99xiNRtM6BwcHmjRpwtq1a9O6OxEREauW2VMSVatWZfr06SxfvpwpU6YQHh5Ow4YNuX79OuHh4QA4OTmZbePk5ERERAQAERERODo6mlU+DAYDhQoVMo1JSZqnJObPn88777zD6NGjuX79eqL15cuXZ+fOnWndnYiIiFXL7BmJt956y+zfVatWpVKlSixdupRq1ar9/2OaH9RoNCZKEJ705JjkpLnCcPHiRWrVqpXs+gIFCqS501JERMTa2RgMGX6lRb58+fD09OTcuXOmvoYnKwWRkZGmqoOzszORkZFmMwRGo5GoqKhElYkkzyetJ+7g4JBiyeLkyZO4urqmdXciIiLyFO7evcuZM2dwcXGhePHiuLi4sH37drP1+/btM/UseHt7ExsbS0hIiGlMSEgIcXFxZn0NyUlzwuDr68uCBQuSrCKcPHmSRYsW4e/vn9bdiYiIWDWbp3glZdCgQfz6669cuHCB3377jfbt23P79m0++OADDAYD3bp1Y9KkSaxZs4YTJ07QvXt37O3tad26NQAeHh74+voSGBjIwYMHCQkJITAwED8/v1SvkIB09DAMGjSIbdu28eabb+Lv74/BYOCHH37gu+++46effsLFxYU+ffqkdXciIiJWLbN7GK5cuULnzp2JioqiUKFCVK1alV9++QU3NzcAevbsyZ07d+jduzfR0dFUqVKFlStXkj9/ftM+Zs+eTd++fWnVqhUA/v7+jBkzJm3nEx0dbUx92GPXrl1jyJAhrFu3jri4OODxZRtNmzZlxIgRSV4bKulzm7xZHYJVunwmlFfcK2Z1GFYp/lGa/4RIBlz76xiupSpkdRhWJ7/NXYsfY8ze8Axv26fm8/d+mq4bN7m6ujJz5kzi4+O5evUqjx49onDhwuTMmdNS8YmIiGRLaW1ezC4y9LRKW1tbihYtmtmxiIiIWA0ryxfSnjBMnjw51TEGg4HPP//8qQISERGxBik9EyI7SnPCMHTo0GTXGQwG040flDCIiIhYnzQnDNeuXUu0LD4+nosXLzJr1iyOHDnCsmXLMjU4ERGR7MraehjSfB+G3LlzJ3rZ2dnh6enJhAkTKFKkCMOGDbNkrCIiItmGwZDx1/Mo055FXa9ePdavX59ZuxMREcnWMvvhU1kt0xKGCxcuEB8fn1m7ExERkedImnsYDh06lOTymJgYdu/ezYwZM2jSpEmmBSYiIpKdGXhOSwUZlOaEwdfXN8XHYjZr1ozx48dnanAiIiLZ1fM6tZBRaU4YVqxYkWiZwWDAwcGBEiVK8PLLL2dqYCIiItnZC5kwPHjwAAcHBxwdHSlRooSFQxIREZHnTZqaHm1sbGjUqBGbNm2ydDwiIiJWwWAwZPj1PEpThcHW1pZixYpx967ln+4lIiJiDaxtSiLNl1V26dKFBQsWcOPGDUvGIyIiIs+hdD2tMk+ePFSqVImWLVtSokQJ8uTJY7beYDAQEBCQqQGKiIhkR8/pzEKGGaKjo41pGViwYMHUd2YwcP369acO6kV2m7xZHYJVunwmlFfcK2Z1GFYp/lGa/oRIBl376xiupSpkdRhWJ7+N5afY54dm/P2wY8Xn78rDNFcYQkJCLBmHiIiIVbG2HoYUE4Zly5ZRs2ZNihcvjru7+7OKSURERJ4zKTY99ujRQ5UFERGRDLC2p1WmWGEwGjU3KSIikhE2L+qzJERERCTtntdKQUaleh+G5/WOUyIiIvLspFph6NGjB5999lmadmYwGLhy5cpTByUiIpLdvVBXSQBUqVJFD5wSERFJJxsrq9CnmjB07NiRNm3aPItYRERErIaV5Qtpf5aEiIiIvLh0lYSIiIgFvHBTEiIiIpJ+VpYvpJww6FHWIiIiAqowiIiIWIS1NQkqYRAREbEAa7vxobUlQCIiIs8Fw1O80mL8+PE4ODjQu3dv0zKj0UhQUBCenp64urrSpEkTTp48abZddHQ0Xbp0wc3NDTc3N7p06UJ0dHSqx1PCICIiks0cPHiQBQsWUK5cObPlkydPZtq0aYwePZpt27bh5OREy5YtuXXrlmlM586dCQ0NZfny5axYsYLQ0FACAgJSPaYSBhEREQuwMRgy/EpJTEwMn3zyCd988w0ODg6m5UajkeDgYHr16kXz5s3x8vIiODiY2NhYVqxYAcCpU6fYsmULkyZNwsfHB29vbyZOnMimTZs4c+ZMyufz9F8SEREReZKlpiQSEoI6deqYLQ8LCyM8PJz69eubluXNm5eaNWty4MABAEJCQsiXLx8+Pj6mMdWrV8fe3t40JjlqehQREbEAS/Q8LliwgHPnzjFz5sxE68LDwwFwcnIyW+7k5MTVq1cBiIiIwNHR0awh02AwUKhQISIiIlI8thIGERGRbODMmTMMHz6cDRs2kCtXrmTHPXl1htFoTJQgPOnJMUlRwiAiImIBmX1ZZUhICFFRUdSoUcO0LD4+nr179zJv3jz2798PPK4iFC1a1DQmMjLSVHVwdnYmMjLSLEEwGo1ERUUlqkw8ST0MIiIiFmDzFK+kNGnShL1797J7927T6/XXX+edd95h9+7dlC5dGhcXF7Zv327a5u7du+zbt8/Us+Dt7U1sbCwhISGmMSEhIcTFxZn1NSRFFQYREZFswMHBweyqCAA7OzsKFiyIl5cXAN26dWP8+PG4u7tTunRpxo0bh729Pa1btwbAw8MDX19fAgMDmTx5MkajkcDAQPz8/HB3d0/x+EoYRERELCAr7vTYs2dP7ty5Q+/evYmOjqZKlSqsXLmS/Pnzm8bMnj2bvn37lA9lQgAAIABJREFU0qpVKwD8/f0ZM2ZMqvs2REdHGy0WuaTbbfJmdQhW6fKZUF5xr5jVYVil+Ef6E2JJ1/46hmupClkdhtXJb3PX4sfYfD4uw9s2LGmfiZFkDlUYRERELEDPkhAREZEXjioMIiIiFmBtn8iVMIiIiFiAtU1JKGEQERGxAOtKF6yvYiIiIiIWoAqDiIiIBVjZjIQSBhEREUuwsbJJCSUMIiIiFmBtFQb1MIiIiEiqVGEQERGxAIOmJERERCQ1mpIQERGRF44qDCIiIhagqyREREQkVdY2JaGEQURExAKsLWFQD4OIiIikShUGERERC9BllSIiIpIqG+vKF5QwiIiIWIK1VRjUwyAiIiKpUoVBRETEAqztKgklDCIiIhZgbVMSShhEREQswNqaHtXDICIiIql6oSsMDg4OLFiwgObNm2d1KJJOIUf/Yvb3Ozh++m/CI28ypu/7tPb3Nq2Pu32PsbPXsXn3MW7cjMO5oB3tWt/g4zZ1TGPu3X9IUPAa1m49zN37D6hZ2Z3hvd6hsLNDVpySvCBCjv7F3B928MfpS4RH3eTrPu/xTqP//exGXr/FmNk/s+e309yMvUPF0k78t68rJYo6JdqX0Wjk436z2X3wFFOGtMO/zmvP8lQkFdY2JWHVFYaIiAj69u1LpUqVcHZ2pmzZsrRu3ZrNmzdndWjylOLu3KNMSVf+79OW5MmdM9H6/05fzfb9Jxg/8EN+WdCPdo0rMnbWz/y0+TfTmBFTV7FxVyiTBrfl+ymfEht3l8795xAf/+hZnoq8YG7fuU+ZkoUZ+GmLRD+7RqORboPnE3YpkunDO7J65he4Ouaj/VczuX3nXqJ9zf1hBzY2Vv1nPFszGDL+eh5Z7U9aWFgYderUYdu2bQwZMoQ9e/awatUqGjZsyBdffGHRYz948MCi+xeoV92L3p80oXHd17BJ4rfr9+MXaNGwKjVed6do4ZdpVLM0lbyKc+REGAA3Y++w/P+1d+9xVVX5/8dfB28Rmke5hoAgAgo4lYrXNJPS8FKpKY+xJjUVc9JS4xuapqKTJqIOeclHPpycUhsT0Zwmb+UlMFBnbEZRx2uKd4PhYKh44/z+8MfJI+AB9YAe308fPB6y99prrX3YcD5nrc/a+9ttjH6zO+2ahxAe7MOMsX3575HTbP3XgYo+HXmIdGjVmHcHdSHqmeLX7tET2fx77zEmjujFE439aODnwbuvtqbgylW+2fiTVdnd+4/z15RUpr0XXZHdl4eYwwYMsbGxmM1mNm3aRI8ePQgKCiIkJISYmBjS0tIs5XJzc+nXrx/e3t488cQTLFu2zLLv2LFjGI1GfvrJ+hfVaDTy9ddfW5VJTk6me/fueHl58dlnn7FkyRLq1avHli1baN26Nd7e3nTr1o2jR49WyPk/7Jo1CWDjj3s4dS4XgN2HzrH30Cnat2gEQOaBE1y9dp12ESGWY7w96tCwvgf/2nO0MroswpWr1wCoUe232WInJwPVq1Xhn5k/W7blXyxg5J8WM3lkb1zr1KrwfkrZGO7i637kkAFDbm4u3333HYMHD6ZmzZrF9huNv81RJyQk0KVLF9LS0ujZsyfDhg0jKyur3G3Gx8czaNAgMjIy6Nq1KwCXL19m5syZzJkzh/Xr15OXl2f30Q25YcLbPWjcsB5P95lMcGQswxPXEBfTjcg2YQD88r/zVHFyom5tF6vj3OrUIvt/5yujyyI08POgnmcdZiz8FtP5i1y5eo0la3Zz5pc8fsn57bocPyuZ9hEhdGjVuBJ7K7Y4GQx3/HU/csikxyNHjmA2mwkODrZZNjo6mujoG0N6Y8eOZf78+aSnp+Pn51euNmNiYoolT167do3ExESCgoIAGD58OG+99RaFhYWlzjuePLirXO0KmM2F5J49zsmDj1i2/W19Jtt2HuCjYZF4urrwnwNnmTJvFc6FJlqG+5B75jhg5uTBXRhu+uUsuJjPxTwn/RykQpjNheSdO8GZw86WbfGD2/LRoq1EvPwBVZwMNGv8OK3C63Gt4AJnDu9mbfphMvf9zIJx3ThzeLflONPZLM4cdsjPgHZR6///Xban+/Nt/845ZMBgNpvLXDYsLMzy/6pVq+Lq6sovv/xS7jafeuqpYttq1KhhCRYAvLy8uHr1Knl5edSpU6fEeuoF/a7cbT/sDAYn6nj6Wl67gstX+HTlF8yZ2I/nnw4HoKHPLk7lQUrqMXr26ELwr85cL/wBZ49AXI2/jULlX16DX4C/fg7lcL2w7L9vYs1gcKK2hw9egU0s27wC4ZmOz/Jr/iWuXLvO1ZyfeWvGRpqE3Ci3NzmTo6fz6DxsqVVdEz/dwtehR/nbx8Mr+jQeUAWV3YEHjkMGDIGBgRgMBg4csJ28Vq2adZaywWCwBBxFowA3ByClJTS6uLgU21a1qvXLW/RJtrBQWfj2dPVaIVevXcfplrumVKny2882PNiHalWrkPbP/bz0XDMATp8zcejYOZqF+Vd0l0WKqVXzxqjDjr3nyTxwnBEDXgBg1BtdGNSng1XZrgMTGT2kO5Ftwyu6m3I7DjbE4JDjV3Xq1CEyMpIFCxaQn59fbL/JZCpTPW5ubgCcOXPGsm337t2lFZcKdOHiZfYePMnegycpNJs5dS6XvQdPcvJsLrVcHqHlE4FM//QfZPx0iOOnc/h260FS1v2TTu1ufJJ7rKYzvbu05KP5fyftnwfYc/AE705ZQqMGj9O2me2pLJE7deHSZfYeOsneQ0XXrom9h05y6uyNBN01m/9Dxk+HyDqVw3dbMxk1ax3PtQ23JOh6udcmOOBxqy8ALw8jft6ulXZeUpzhLv6VZMGCBbRp0wZfX198fX15/vnnWbdunWW/2Wxm6tSpNGrUCC8vL7p27cq+ffus6jCZTMTExODn54efnx8xMTFlfk90yBEGgMTERDp37syzzz7L2LFjCQsLw2w2k5qayqxZs8jMzLRZh7OzMxERESQlJREQEMD58+eJj4+vgN6LLbv3H6fvyHmW7//82Tr+/Nk6enWOYPqY3/Px+D+QsOAfjPxwMabzF/Gs+yij3oji9R5PW4754K2XqFrFibcnfU7B5Rs3bkp8vy9VqjhkHC33icz9x3lt1CeW7z9etI6PF62jR+fmJMT9nnP/O8+UT74mJzcf97qP0blVIO+9/Wol9lju1L3OXfT29iY+Pp7AwEAKCwv58ssvefXVV9m8eTPh4eEkJSUxd+5c5s6dS1BQEAkJCfTo0YMdO3ZQq9aN1TSDBg3ixIkTLF++HIPBwNtvv82QIUOsVgiWxmEDBn9/f7Zs2cKMGTOYMGECp0+fpm7duoSHhzNr1qwy1zNnzhzefvttOnbsSEBAAImJiXTp0sWOPZeyaPVUQ45snlnqfnfXx5g++veW708e3FUsL6FGjWpMfKcnE9/pabd+ityq5ZMNObhxRqn7+/VsR7+e7Szfnzm8m+rVbv+n+nb1ieMoWoFX5IMPPmDhwoXs2LGDsLAwPvnkE0aMGGFJwP/kk08ICgoiOTmZAQMGsH//fr777jvWrl1Ly5YtAZg1axZRUVEcPHjQKueuJAaTyaSMpfvIRZxtF5JyKylgkHtDSY/2debwbqukSLk3ajnZP+nxQM6dHxtsY3bp+vXrrFq1ijfffJPNmzfj4uLCk08+ycaNG2natKmlXJ8+fahbty7z58/niy++YMyYMRw/ftySU2c2m/Hx8WHatGm89tprt23TYUcYREREKpUdkh737NlDp06dKCgowMXFhcWLFxMWFsa2bdsAcHe3fuaIu7s7p0+fBm48LsHV1dVqKbnBYMDNzY1z587ZbFsBg4iIyAMiKCiI1NRU8vLyWL16NUOHDuWbb76x7DfckjhhNpuLBQi3urVMaRQwiIiI2MHdPa2y5Km+6tWr06BBA+DG/X927tzJvHnziI2NBW6MIvj4+FjKZ2dnW0YdPDw8yM7OtgoQzGYzOTk5xUYmSqJ0cBERETuoiKdVFhYWcuXKFerXr4+npyebNm2y7CsoKCA9Pd2S4NiiRQvy8/PZvn27pcz27du5cOGCpcztaIRBRETEDu51CsPEiRPp1KkT9erVIz8/n+TkZNLS0vjqq68wGAwMHTqUGTNmEBQURMOGDUlMTMTFxYVXXnkFgJCQEJ577jlGjhxJUlISZrOZkSNH0rlzZ5srJEABg4iIyAPh7NmzxMTEcO7cOR577DHCwsJITk4mMjISgHfeeYdLly7xf//3f5hMJpo1a0ZKSorlHgxw4+ZPcXFx9Ox5Yzl5VFQUCQkJZWpfyyrvM1pWaR9aVmk/WlZpX1pWaR8VsazysOnOxxgCjfff75VGGEREROzAHkmPlUkBg4iIiB3c61tDVzatkhARERGbNMIgIiJiBw42wKCAQURExC4cLGJQwCAiImIHd5f0eP9RDoOIiIjYpBEGERERO3C0VRIKGEREROzAweIFTUmIiIiIbRphEBERsQcHG2JQwCAiImIHjrZKQgGDiIiIHTha0qNyGERERMQmjTCIiIjYgYMNMChgEBERsQsHixgUMIiIiNiBoyU9KodBREREbNIIg4iIiB042ioJBQwiIiJ24GDxggIGERERu3CwiEE5DCIiImKTRhhERETswNFWSShgEBERsQNHS3rUlISIiIjYpBEGERERO3CwAQYFDCIiInbhYBGDAgYRERE7cLSkR+UwiIiIiE0aYRAREbEDR1sloYBBRETEDhwsXlDAICIiYhcOFjEoh0FEROQBMHPmTJ599ll8fX0JDAwkOjqavXv3WpUxm81MnTqVRo0a4eXlRdeuXdm3b59VGZPJRExMDH5+fvj5+RETE4PJZLLZvgIGEREROzDcxb+SpKWlMXDgQNatW8fq1aupWrUqL7/8Mrm5uZYySUlJzJ07l2nTprFx40bc3d3p0aMHv/76q6XMoEGD2LVrF8uXLyc5OZldu3YxZMgQ2+djMpnMd/+yyL1yEefK7oJDOnlwF/WCflfZ3XBI1wv1J8SezhzejVdgk8ruhsOp5VRg9zbyrj9yx8fWrmK7f/n5+fj5+bFkyRKioqIwm800atSIwYMHExsbC8ClS5cICgpi8uTJDBgwgP3799OyZUvWrl1Lq1atAEhPTycqKoodO3YQFBRUansaYRAREXkA5efnU1hYiNFoBODYsWOcPXuWjh07Wso4OzvTpk0btm3bBsD27dupWbMmLVu2tJRp1aoVLi4uljKlUdKjiIiIHdg753H06NE0adKEFi1aAHD27FkA3N3drcq5u7tz+vRpAM6dO4erqyuGm9Z8GgwG3NzcOHfu3G3bU8AgIiJiB/a8D8P7779PRkYGa9eupUqVKre0a92w2WwuFiDc6tYyJdGUhIiIiF0Y7uKrdGPGjGHFihWsXr0af39/y3ZPT0+AYiMF2dnZllEHDw8PsrOzMZt/yz0ym83k5OQUG5m4lQIGERGRB0RcXBzJycmsXr2a4OBgq33169fH09OTTZs2WbYVFBSQnp5uyVlo0aIF+fn5bN++3VJm+/btXLhwwSqvoSSakhAREbGDez0lERsby7Jly1i8eDFGo9GSs+Di4kLNmjUxGAwMHTqUGTNmEBQURMOGDUlMTMTFxYVXXnkFgJCQEJ577jlGjhxJUlISZrOZkSNH0rlz59uukAAtq7zvaFmlfWhZpf1oWaV9aVmlfVTEssoL5jv/e+5iuFRsW9FqiFvFxcUxZswY4Mb0wkcffcSiRYswmUw0a9aMxMREQkNDLeVzc3OJi4tjzZo1AERFRZGQkFBq/UUUMNxnFDDYhwIG+1HAYF8KGOyjIgKGu/l7/ijFA4bKphwGERERsUk5DCIiInZQ2i2eH1QKGEREROzhbuKF+3CmTwGDiIiIHTjW+IJyGERERKQMNMIgIiJiB3d1HwZNSYiIiDwcHC3pUVMSIiIiYpNGGEREROzBsQYYFDCIiIjYg4PFCwoYRERE7OFeP3yqsimHQURERGzSCIOIiIgdONoqCQUMIiIidqApCREREXnoKGAQERERmzQlISIiYgeONiWhgEFERMQOlPQoIiIiNt3NCMN9+Owp5TCIiIiIbRphEBERsQMHe7q1AgYRERG7cKwUBk1JiIiIiG0aYRAREbEDrZIQERERm3QfBhEREbHJweIF5TCIiIiIbRphEBERsQcHG2JQwCAiImIHjpb0aDCZTPfj/SFERETkPqIcBhEREbFJAYOIiIjYpIBBREREbFLAICIiIjYpYBARERGbFDDIQ2Pq1Km0bt26srshAoDRaOTrr7+u7G6IlJkCBqkQQ4cOxWg0Mn36dKvtqampGI1GcnJy7rqN1atX0717d/z8/PD29qZNmzZMnjyZX3755a7rFimvc+fOERcXx5NPPomHhweNGzfmlVdeYf369ZXdNZE7ooBBKswjjzzCxx9/THZ29j2ve/LkyfTv358mTZqwbNkyMjIymDp1KllZWSxcuPCet3ezK1eu2LV+efAcO3aMZ555ho0bNzJhwgS2bt3KqlWr6NSpE6NGjbJr21evXrVr/fLwUsAgFaZdu3b4+vqSkJBw23Jbt24lMjIST09PgoKCGDNmzG3flP/1r38xY8YMJk2axJQpU2jdujV+fn4888wzLFiwgDfffNOq/IoVK3jyySfx8fGhb9++VqMbQ4cOJTo62qr8rVMZRWX+/Oc/ExoaSmhoKABNmjRh+vTpjBgxAl9fX0JDQ/n444/L/PqI44iNjcVsNrNp0yZ69OhBUFAQISEhxMTEkJaWZimXm5tLv3798Pb25oknnmDZsmWWfceOHcNoNPLTTz9Z1X3zVEZRmeTkZLp3746XlxefffYZS5YsoV69emzZsoXWrVvj7e1Nt27dOHr0aIWcvzgmBQxSYZycnJg4cSKfffYZP//8c4llTp06Re/evfnd737HDz/8wOzZs1mxYgXx8fGl1vvVV1/h4uLCkCFDStxvNBot/8/KyiIlJYXFixeTkpLCrl27mDx5crnPZevWrezZs4fk5GSreeh58+YRGhrKli1beOeddxg/fjzbt28vd/3y4MrNzeW7775j8ODB1KxZs9j+m6/HhIQEunTpQlpaGj179mTYsGFkZWWVu834+HgGDRpERkYGXbt2BeDy5cvMnDmTOXPmsH79evLy8uw+uiGOTQGDVKhOnTrRsmXLUt+kFy5ciKenJzNmzCAkJIQXXniBCRMmsGDBAi5evFjiMUeOHMHf359q1arZbP/atWvMmzeP8PBwWrRoQf/+/dmyZUu5z6NGjRrMmTOH0NBQwsLCLNs7duxITEwMDRo0YMiQITRo0OCO6pcH15EjRzCbzQQHB9ssGx0dTXR0NA0aNGDs2LFUrVqV9PT0crcZExPDSy+9hL+/P/Xq1QNuXOuJiYk0a9aM8PBwhg8fTmpqKoWFheWuXwQUMEglmDRpEqtWrSo21Aqwf/9+IiIicHL67dJs3bo1V65c4ciRIyXWZzaX/XEovr6+1K5d2/K9l5fXHeVUNG7cmBo1ahTbfnPwUFS/ki4fLuW5Hm++XqpWrYqrq+sdXS9PPfVUsW01atQgKCjI8r2XlxdXr14lLy+v3PWLgAIGqQRNmzblxRdfZMKECcX2mc1mDIaSn/BW2vbAwECOHj1apuTDW0chDAaD1ScuJyenYn/wr127VqweFxeXMtdfnjcQefAFBgZiMBg4cOCAzbK3u16Kguabr5/SEhpLuh6rVrV+GHHR749GGOROKWCQSjF+/HjS09P5/vvvrbY3atSIHTt2WP1RS09Pp3r16gQEBJRYV+/evblw4QKffvppiftNJlOZ++Xm5saZM2estu3evbvMx4vUqVOHyMhIFixYQH5+frH9Zb0e3dzcAKyuR12LUpkUMEilaNCgAf3792f+/PlW2wcOHMiZM2d499132b9/P+vWrSM+Pp7Bgwfz6KOPllhX8+bNLQmG77//PhkZGWRlZZGamkpMTEyxNm6nffv27Nq1iy+++IIjR46QlJRERkbGXZ2rPHwSExMxm808++yzrFq1ioMHD3LgwAEWLlzI008/XaY6nJ2diYiIICkpiX379rFt2zbGjRtn556LlE4Bg1Sa9957r9iwqbe3N8uXL2fXrl20a9eOYcOG0atXL8aPH3/buuLj4/nLX/7Cf/7zH/r06UOrVq1477338PX1ZdCgQWXuU2RkJHFxcfzpT3+iQ4cOZGVllet4EQB/f3+2bNlChw4dmDBhAm3btuXFF19kzZo1zJo1q8z1zJkzB7iRTDty5EgFDFKpDCaTSROsIiIiclsaYRARERGbFDCIiIiITQoYRERExCYFDCIiImKTAgYRERGxSQGDiIiI2KSAQcQBNWnShKFDh1q+T01NxWg0kpqaWom9srZkyRKMRiPHjh27J+VKMnXqVIxGI2fPnr3Tbt7T/og8yBQwiNxDRW8mRV+urq6EhoYybNiwYrecfhCkp6czderUct1eW0QcU1XbRUSkvEaPHk1AQACXL18mIyODpUuXsnXrVn788UecnZ0rvD9t27blzJkzVK9evVzHZWRkMG3aNPr27YvRaLRT70TkQaCAQcQOIiMjiYiIAOD111+nTp06zJ07l2+//ZZevXqVeMzFixdLfV7G3XJycuKRRx6xS90i8nDQlIRIBWjfvj0AR48eBX6buvjhhx8YPXo0wcHBeHt7W8qfP3+ecePG0aRJEzw8PAgPD2fixIlcvnzZqt4rV64wYcIEy/EvvfRSiY9VLi2H4dChQwwcOJCGDRvi6elJ06ZNGT16NHBj/j8+Ph6AJ554wjLNcnMdmzZtolu3bvj4+ODt7U23bt3Ytm1bsfZ37NhBp06d8PT0JDw8nFmzZt3VY79//PFH+vfvT3h4OB4eHjRq1IgRI0aUOnWSm5vL4MGD8fPzo379+gwfPpzz588XK1fW8xF5GGmEQaQC/PzzzwDUrVvXantcXBy1a9dm1KhRljewS5cu0a1bN44dO0b//v0JCAhg9+7dzJkzhwMHDrB06VLL8SNGjGDp0qW89NJLtGvXjp07d9KjRw8KCgps9mnfvn107twZgAEDBhAQEEBWVhYpKSl89NFHdO/enYMHD5KSksKUKVNwdXUFICQkBIDk5GRiYmJo164dY8eOpbCwkCVLlvDiiy/yj3/8g+bNmwPw3//+l5dffplatWoRGxtL9erVWbRoES4uLnf8eq5cuZLc3Fxef/11PD09yczM5PPPP2ffvn2sW7euWPk33ngDb29vPvjgA3bv3s3nn3/OiRMnWLlypaVMWc9H5GGlgEHEDs6fP09OTg4FBQVs27aNhIQEnJ2dLW/QRR599FG++eYbq6d2zps3j4MHD7J582bLmzNA48aNiY2N5ccff6RNmzbs2bOHpUuX8tprr1meaggwadIkZs6cabOPsbGxXL16lbS0NAIDAy3bi56IGB4eTpMmTUhJSaFr167Ur1/fUubChQvExsYSHR3NJ598Ytk+YMAAWrVqxaRJk1i9ejUAH374IVeuXGHNmjUEBAQA8Oqrr9K0adMyvZYliY+PLzZ907x5c4YMGUJGRgatWrWy2lf0FFSDwQCAp6cn06dPZ+PGjXTs2LFc5yPysNKUhIgd9OrVi8DAQMLCwnjjjTfw9PRk2bJlVtMOAP369Sv2iO+VK1fSsmVL3NzcyMnJsXx16NABgB9++AHA8kn65uWTAH/84x9t9i87O5utW7fSt29fq2ABbuQ72LJp0yZMJhN9+vSx6uOlS5fo0KED6enpXL16levXr/P999/zwgsvWIIFADc3N/r06WOzndIUBQtms9kSnLVs2RKAf//738XKDx482BIsALz55psArF+/vlznI/Iw0wiDiB1MmzaNkJAQatSogY+PDz4+PlZvWEX8/f2LbTt8+DCZmZnF3siLZGdnA3D8+HEMBgMNGza02u/m5mZzRUNRLkVoaGgZzqa4w4cPA9CjR49Sy+Tl5XH9+nUuXrxIUFBQsf239rs8Tpw4wfjx49mwYQO//vprsXZvdetr6erqitFo5Pjx40DZz8fNze2O+yzyoFPAIGIHTZs2taySuJ2SllgWFhbSvn17Ro0aVeIxRaMUt0satJVQWLS/pCCmLAoLC4Eb0ye3jpoUeeyxx/jf//5Xajt3mvRYWFhIz549yc7OZuTIkQQHB+Pi4kJhYSG9evWy9O1mttov6/mIPMwUMIjcZwICAsjPz7dMQZTGz88Ps9nMoUOHCAsLs2zPzs4u8VP2zRo0aADA3r17b1uutICiaHrBzc3ttv10d3fn0UcfLXHlRtGn+vLKzMzkwIEDzJs3j759+5apvkOHDlmNMuTk5JCXl4evry9Q9vMReZgph0HkPtOzZ0927tzJt99+W2zfpUuXyM/PB6BTp04AVkl6cONTsi2urq60bduWpUuXWlZwFLn5k3dRrsCtyxUjIyOpXbs2iYmJxZZ6wm/TJlWqVKFjx46sXbvWqp3s7GyWL19us58lqVKlSrF+AsyePbvUYxYsWGBVfv78+QA8//zz5TofkYeZRhhE7jPDhw9n/fr1/OEPf6BPnz40a9aMy5cvc+jQIVauXMny5cuJiIggPDyc6OhoFi9ezK+//mpZVrl582bLEsjbSUhIICoqig4dOliWVR4/fpyUlBR27twJwFNPPQXA5MmT6dWrF9WrV6d9+/a4u7uTlJTEwIEDefrpp+nduzeenp6cPHmS1NRUXFxcSE5OBuD9999n48aNREVFMWjQIKpVq8aiRYvw9fW1ORJSkuDgYAIDAxk3bhynTp2iTp06bNiwgVOnTpV6zKlTp+jduzedO3cmMzOTv/71rzzzzDNERkYCUKtWrTKfj8jDSgGDyH3G2dmZ1atXk5SUREpKCitWrMDFxQV/f3+GDh1qlUA4e/ZsPDw8+PLLL9mwYQMRERGsWrWq1LtJ3iwsLIwNGzbw4YcfsmjRIgoKCqhXrx4vvPCCpUzKFAlDAAAA4klEQVRERATjxo1j0aJFvPXWWxQWFvL3v/8dd3d3Xn75ZR5//HFmzpzJvHnzuHTpEp6enjRv3pzXX3/dUkdoaCgrV65k3LhxTJ8+HXd3dwYOHIi7uzvDhg0r9+tTrVo1/va3vzF69Ghmz56Nk5MTzz33HCtWrCA4OLjEYxYuXMiMGTOYPHkycGNZ55QpU6zKlPV8RB5WBpPJdOe3WxMREZGHgnIYRERExCYFDCIiImKTAgYRERGxSQGDiIiI2KSAQURERGxSwCAiIiI2KWAQERERmxQwiIiIiE0KGERERMSm/weNebJup8fFuQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 504x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 504x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Accuracy Score Test: 0.7917555081734187\n",
"Accuracy Score Train: 0.8072888888888888 (as comparison)\n",
"\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"AUC Score (ROC): 0.8318484658670295\n",
"\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"F1 Score: 0.5697503671071952 \n",
"AUC Score (PR): 0.6302847259168858\n",
"\n"
]
}
],
"source": [
"# Plot model evaluations.\n",
"feature_weights(X1, logreg, 'Log. Regression')\n",
"confusion_matrix_plot(X_train, y_train, X_test, y_test, logreg, y_pred_logreg, 'Log. Regression')\n",
"roc_curve_auc_score(X_test, y_test, y_pred_logreg_prob, 'Log. Regression')\n",
"precision_recall_curve_and_scores(X_test, y_test, y_pred_logreg, y_pred_logreg_prob, 'Log. Regression')\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Random Forest**"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 504x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 504x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Accuracy Score Test: 0.7810945273631841\n",
"Accuracy Score Train: 0.9976888888888888 (as comparison)\n",
"\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"AUC Score (ROC): 0.8133946089216291\n",
"\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"F1 Score: 0.5333333333333333 \n",
"AUC Score (PR): 0.6055463087929754\n",
"\n"
]
}
],
"source": [
"from sklearn.ensemble import RandomForestClassifier\n",
"\n",
"# Instanciate and train the random forest model based on the training set.\n",
"rf = RandomForestClassifier()\n",
"rf.fit(X_train, y_train)\n",
"\n",
"# Make predictions (classes and probabilities) with the trained model on the test set.\n",
"y_pred_rf = rf.predict(X_test)\n",
"y_pred_rf_prob = rf.predict_proba(X_test)\n",
"\n",
"# Plot model evaluations.\n",
"confusion_matrix_plot(X_train, y_train, X_test, y_test, rf, y_pred_rf, 'Random Forest')\n",
"roc_curve_auc_score(X_test, y_test, y_pred_rf_prob, 'Random Forest')\n",
"precision_recall_curve_and_scores(X_test, y_test, y_pred_rf, y_pred_rf_prob, 'Random Forest')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Support Vector Machine**"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 504x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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