{ "cells": [ { "cell_type": "markdown", "id": "760cc126", "metadata": {}, "source": [ "# Predicting Customer Churn with Machine Learning 🏦💰\n", "\n", "

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Photo by Michael Jasmund (Unsplash)
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\n", "\n", "**Table of Contents**\n", "\n", "- [Introduction](#Introduction)\n", "- [Objective](#Objective)\n", "- [Libraries](#Libraries)\n", "- [Default Parameters](#Default-Parameters)\n", "- [Functions](#Functions)\n", "- [A Quick Look at our Data](#A-Quick-Look-at-our-Data)\n", "- [Creating a Test Set](#Creating-a-Test-Set)\n", "- [Exploratory Data Analysis](#Exploratory-Data-Analysis)\n", " - [Target Variable: Exited](#Target-Variable:-Exited)\n", " - [Continuous Variables](#Continuous-Variables)\n", " - [Categorical Variables](#Categorical-Variables)\n", "- [Data Pre-processing](#Data-Pre-processing)\n", " - [Feature Selection](#Feature-Selection)
\n", " - [Encoding Categorical Features](#Encoding-Categorical-Features)
\n", " - [Scaling](#Scaling)
\n", " - [Addressing Class Imbalance](#Addressing-Class-Imbalance)
\n", " - [Pre-processing the Test Set](#Pre-processing-the-Test-Set)\n", "- [Building Machine Learning Models](#Building-Machine-Learning-Models)\n", " - [Baseline Models](#Baseline-Models)
\n", " - [Model Tuning](#Model-Tuning)
\n", " - [Logistic Regression](#Logistic-Regression)
\n", " - [Support Vector Classifier](#Support-Vector-Classifier)
\n", " - [Random Forest](#Random-Forest)
\n", " - [Random Forest With Random Undersampling](#Random-Forest-With-Random-Undersampling)
\n", " - [Gradient Boosting Classifier](#Gradient-Boosting-Classifier)
\n", " - [XGBoost Classifier](#XGBoost-Classifier)
\n", " - [LGBMClassifier](#LGBMClassifier)
\n", " - [Ensemble Learning](#Ensemble-Learning)
\n", "- [Results](#Results)\n", " - [Feature Importance](#Feature-Importance)
\n", " - [Performance Comparison](#Performance-Comparison)
\n", "- [Evaluating the Test Set](#Evaluating-the-Test-Set)\n", "- [Calculating Profit](#Calculating-Profit)\n", "- [References](#References)\n", "- [Conclusions](#Conclusions)\n", "\n", "
\n", "\n", "# Introduction\n", "\n", "Customer churn (also known as customer attrition) occurs when a customer stops using a company's products or services. \n", "\n", "Customer churn affects profitability, especially in industries where revenues are heavily dependent on subscriptions (e.g. banks, telephone and internet service providers, pay-TV companies, insurance firms, etc.). It is estimated that acquiring a new customer can cost up to five times more than retaining an existing one.\n", "\n", "Therefore, customer churn analysis is essential as it can help a business:\n", "\n", "- Identify problems in its services (e.g. poor quality product/service, poor customer support, wrong target audience, etc.), and \n", "- Make correct strategic decisions that would lead to higher customer satisfaction and consequently higher customer retention.\n", "\n", "If you want to know more about this topic, please refer to Refs. [[10-13]](#References)." ] }, { "cell_type": "markdown", "id": "09e00433", "metadata": {}, "source": [ "
\n", "\n", "# Objective\n", "\n", "This notebook aims to understand and predict customer churn for a bank. Specifically, we will initially perform **Exploratory Data Analysis** (**EDA**) to identify and visualise the factors contributing to customer churn. This analysis will later help us **pre-process** our data and **build Machine Learning** (**ML**) models to predict whether a customer will churn or not.\n", "\n", "This problem is a typical **binary classification** task. The predictive power of our models will be assessed based on the **area under the ROC curve** (**AUC**). The same metric will be used during hyperparameter tuning to find the optimal parameters for the ML models.\n", "\n", "
\n", "\n", "*Skills: Exploratory Data Analysis, Data Visualisation, Data Pre-processing (Feature Selection, Encoding Categorical Features, Feature Scaling), Addressing Class Imbalance, Model Tuning, Ensemble Learning.*\n", "\n", "*Models Used: Logistic Regression, Support Vector Machines, Random Forests, Gradient Boosting, XGBoost, and Light Gradient Boosting Machine.*" ] }, { "cell_type": "markdown", "id": "aec49703", "metadata": {}, "source": [ "
\n", "\n", "# Libraries" ] }, { "cell_type": "code", "execution_count": 1, "id": "bbcacbe9", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:19.049231Z", "start_time": "2022-03-31T15:54:11.601835Z" } }, "outputs": [], "source": [ "# Ignore warnings\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "\n", "# Data Handling and Analysis\n", "import numpy as np\n", "import pandas as pd\n", "\n", "# Data Visualisation\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "# Statistics\n", "from scipy.stats import chi2_contingency\n", "\n", "# Machine Learning\n", "from sklearn.model_selection import train_test_split, StratifiedShuffleSplit\n", "from sklearn.model_selection import KFold, GridSearchCV\n", "from sklearn.model_selection import cross_val_score, cross_val_predict\n", "from sklearn.model_selection import learning_curve\n", "\n", "from sklearn.preprocessing import LabelEncoder, StandardScaler\n", "\n", "from sklearn.naive_bayes import GaussianNB\n", "from sklearn.linear_model import LogisticRegression\n", "from sklearn.svm import SVC\n", "from sklearn.ensemble import RandomForestClassifier, GradientBoostingClassifier, VotingClassifier\n", "from imblearn.ensemble import BalancedRandomForestClassifier\n", "from xgboost import XGBClassifier\n", "from lightgbm import LGBMClassifier\n", "\n", "from sklearn.metrics import precision_score, recall_score, roc_auc_score, roc_curve\n", "from sklearn.metrics import confusion_matrix\n", "from sklearn.metrics import make_scorer\n", "\n", "import scikitplot as skplt" ] }, { "cell_type": "code", "execution_count": 2, "id": "6ad0b6db", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:19.194872Z", "start_time": "2022-03-31T15:54:19.055436Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Python implementation: CPython\n", "Python version : 3.10.2\n", "IPython version : 8.0.1\n", "\n", "Compiler : MSC v.1929 64 bit (AMD64)\n", "OS : Windows\n", "Release : 10\n", "Machine : AMD64\n", "Processor : Intel64 Family 6 Model 142 Stepping 9, GenuineIntel\n", "CPU cores : 4\n", "Architecture: 64bit\n", "\n", "json : 2.0.9\n", "matplotlib: 3.5.1\n", "xgboost : 1.5.2\n", "pandas : 1.4.1\n", "scipy : 1.8.0\n", "seaborn : 0.11.2\n", "scikitplot: 0.3.7\n", "lightgbm : 3.3.2\n", "numpy : 1.22.2\n", "watermark : 2.3.0\n", "\n", "sklearn : 1.0.2\n", "imblearn : 0.9.0\n" ] } ], "source": [ "import watermark\n", "%load_ext watermark\n", "\n", "# See version of system, Python, and libraries\n", "%watermark -n -v -m -iv" ] }, { "cell_type": "markdown", "id": "a7d2dd56", "metadata": {}, "source": [ "
\n", "\n", "# Default Parameters" ] }, { "cell_type": "code", "execution_count": 3, "id": "c276423b", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:19.272866Z", "start_time": "2022-03-31T15:54:19.203968Z" } }, "outputs": [], "source": [ "pd.set_option('display.precision', 3)\n", "\n", "%config InlineBackend.figure_format = 'retina'\n", "plt.style.use('fivethirtyeight')\n", "\n", "edgecolor = 'white'\n", "facecolor = '#f0f0f0'\n", "\n", "plt.rcParams['axes.edgecolor'] = '0.15'\n", "plt.rcParams['axes.linewidth'] = 1\n", "plt.rcParams['axes.facecolor'] = facecolor\n", "\n", "font_size = 20\n", "plt.rcParams['axes.labelsize'] = font_size\n", "plt.rcParams['axes.titlesize'] = font_size\n", "plt.rcParams['xtick.labelsize'] = font_size - 2\n", "plt.rcParams['ytick.labelsize'] = font_size - 2\n", "plt.rcParams['legend.fontsize'] = font_size - 2\n", "\n", "random_state = 0" ] }, { "cell_type": "code", "execution_count": 4, "id": "a666c461", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:20.136284Z", "start_time": "2022-03-31T15:54:19.281500Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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dAACAs7LXzHT0K/OLFi3SK6+8YtoWHh5uqs956tQp1ahRw+GxjB492hS4LVmyRO3bt8+x/5QpUzR16lSjHRYWppo1a9rtu2HDBvXu3dto169fX6tWrZKvr2+Ox79+/br69u2rjRs3Gtu2b9+uevXq2e3ftWtXIwzPT+mBrF8hfvrppzV79myH9w0PD1ebNm2M8g4BAQFas2ZNju+HdDPUGD58uBYuXGhs+/7779WxY0enxp1ff/31l+655x6jffz4cZvFwjJnW0s3a5OGh4cX+rg2bdqkHj16GG0XFxdt2rSpwBfFKir79u3Tww8/bLSL6n0sSde/PYMHD9ayZcuM9ltvvaVx48blus/hw4fVsWNHo252kyZNbMpoZFqxYoUGDRpktKtXr65169blWov6gw8+0AcffGCzPbeauD169NCmTZuM9mOPPaZvvvkmx8XiYmNj1alTJ9NinKNGjdKECRPs9s9e41eSbr/9dq1evdrhBdycqfE7b948vf7660b7n//8pxYuXCgPD48c90lISFCXLl10+PBhSTcXZzx8+LAqVqxo6hcaGmoK3ceNG5fnrO1M169fV5kyZXKcSQwAAPKPf10BAChBNm/erNGjR5u2dezY0WZRJmdCH0maNGmSUY5Akn744Yf8DzKb6dOnG489PDy0cOHCXENfSSpXrpzmzJljKu8wZ86cAhtTQZo1a5YR+rq4uGj+/Pl5hmAuLi6aPn26KYjKOoOysGWt/3rPPffYhL6StGvXLuNxixYtCn1McXFxNjc0+vfvX2pDX0k2ZQy8vb2L5Lwl6frP7uTJk1q+fLnRbt++fZ6hryQFBQXp3//+t9Het2+f6W80q7lz55raH3/8cZ4LEI4ZM0b33XdfnuPIFB4ebgp9K1eurE8//TTH0FeSKlasqDlz5pgCzPnz5yslJcXh844dO9bh0NcZ6enppm9VVK5cWfPnz8819JVuzuj+4osvjNnAKSkpmj9/vk2/rDPfpZshuaPKlStH6AsAQCHhX1gAAIpIenq6oqOjbX6OHDmilStX6oUXXlDPnj2NGW/SzSA1p9liznBzc9MjjzxitPfs2XPLx5SkiIgIbd++3WgPGDDA4ZmBfn5+6tWrl9Fev359gYypIMXHx5tmLnbo0EHNmzd3aF93d3c9++yzRnvLli15Lg5VULL+Tlq2bGm3T9batIUd/Kanp+v555/XmTNnjG0BAQGmr4aXRtlnVxZV8Ouswrr+7Zk3b56pNIIjoW+mgQMHmm4GrVu3zqZPbGystm7darTr1aunDh065HlsFxcXvfrqqw6PZcmSJab2sGHD7Ja1yK5p06bq3Lmzaby//vqrQ+f08vLSc8895/AYnbFhwwZFRUUZ7REjRjj89xoUFKQ2bdoYbXu/l+wuXrzo9BgBAEDBo8YvAABF5OzZs07V/yxbtqw+//xzp1aGT01N1ZUrV3TlyhWbxYiyBirHjx/XjRs3bnmW1ZYtW0ztrF/jd0TLli313XffSbpZLzUqKkq1atW6pTEVpF27dik1NdVo5+f1ZUpLS1NoaKjatm1bYOPLSdYZv/aC34yMDIWEhOTapyCNHj3aVAO6XLlymjt3rqkEhxUUd63ior7+7cn6mVCjRg2nZq+6u7urSZMmRlmX7AvnSTdLCmRd3C57qYTcdOrUSeXKldP169fz7Jt9tnHWcjZ5efLJJ7V69WqjHRIS4tAM2DZt2ji9+JyjCuKzevPmzZKk/fv369q1a3JzczOez16H/v3339cPP/yQ54xiAABQuAh+AQAogerXr69PPvkkz9AkLi5OK1as0Lp163T48GGbr9vm5MaNG0pMTLzl4C17OOLt7W1aCT4v2YOyU6dOlbjgN6sKFSo49fqyh2+nTp0qkHHlJjExUYcOHTLa9kLdiIgIY7bq7bff7tTNBWdNmzbN9NX82267TZ9//rkeeOCBQjnfmTNnjNIcufHy8rKpU+qs7NdP5uJkRaW4r//skpOTdeDAAaN95513OnW9SDItBGbvesmsNZvJmZtpbm5uqlOnjkM1wjMXupOkqlWr5riAnj3NmjUztffv3+/Qfg0aNHD4HM7K+lnm5eWljIwMp343ZcuWNR5fv35d586dM31WBwUFqW7dusZCcDt27FDz5s317LPPqnv37qpTp86tvwgAAOA0gl8AAIqZp6envL29VatWLd13333q0qWLWrVqles+N27c0CeffKIPP/zQVBrCGZcvX77l4CfrV/cl3fJs1uw1U4tb9tfXt2/fWzpeUby+kJAQI3AOCAiwW3oj60zK++67T2XKFM5/Es6fP9+mnMNHH31kKvFR0Dp16qTTp0/n2c/ZRf7syX79JCQk3NLxHFVSrv/s/vrrL6WnpxvtTZs2ORXMZmdvobK4uDhTO6/avtkFBATkGfympKSY3td//OMfTp2jevXq8vDw0NWrVyU5XvbAXi3ugnL27Fnj8ZUrV27p9yLZ/m5cXFw0Y8YM9ejRw5hRHRMTo/fee0/vvfeeqlSpogceeEAtW7ZU69atC/VmEwAA+B+CXwAAikhgYKBDM83ykpGRoeHDh2vRokW3dJzss1HzI7cV5PMjKSmpQI93q0rq64uPj88xZPzll1+Mx0FBQXZn9WVdtKpOnTp2+9zqjNgVK1bojTfeMG2bMGGCBg8enO9jljRZF0yTpPPnz+vy5cu64447Cu2cJen6z66gb2zYC7Wzz6p29r12pK5t9msrP79Pb29vI/h19IZAYZV5kIrmd9OyZUv99NNPGj58uI4dO2Z67s8//9TKlSu1cuVKSTfLgDz99NMaOnSo5Uq+AABQkhD8AgBQygQHB5tCHxcXFz388MPq3LmzGjduLH9/f5UvX14eHh6mFeinTJmiqVOnFuhYsta/LQhZa3eWBCX19c2ePduh3+X69evzXDTvyy+/1Jdffmmz/VZmxG7YsEFDhgwxhYsjRozQqFGj8nW8ksrf318BAQHGzPCMjAyFhYWpdevWhXbOknT9Z1fQ14s95cqVu6VzXrt2rSCHU2oU1WfZ/fffrx07dmj16tVatmyZNm/ebDd0PnXqlKZOnao5c+Zo9uzZpgXxAABAwSH4BQCglPnoo4+Mx66urvrmm28cWjgov18Jz42vr6+pfe7cOUst5pP99e3atYtalXnYuXOnBg4caFpA65lnntGkSZOK5PwFMaveGS1bttTSpUuN9rZt2wo1+C1J13922a+Xnj17at68eQV6juyzQ52dle9I//Lly5valy9fduocknlmcvbjFQdfX1/9+eefkiQ/Pz9FRkYW2rlcXV3VvXt3de/eXRkZGTpy5IhCQkK0bds2bdiwwRQEx8fH65lnntHKlSv14IMPFtqYAAD4uyr4pXwBAEChiYyM1MmTJ412//79HQp9pJv1Nwta9pqUsbGxBX6O4mT111fQwsLC1KdPHyUnJxvbevbsqZkzZxbfoArZQw89ZGovWrSo0Gaul7TrPzs/Pz9TuzCul+yLrGUuJuYoR/q7u7ubFpnL+p474syZM0aZB6lwa/c6KusYLl26VCilPuxxcXFRUFCQnnvuOX311Vc6fvy4Fi1apHvvvdfok5qaqgkTJhTJeAAA+Lsh+AUAoBT5448/TO1HHnnE4X13795d0MNR8+bNTe09e/YU+Dmkm+FBcSiq1+essWPHKj4+3uYn66zaHj162O0zcOBAo8/rr79ut098fLzTZR4iIyPVu3dv00zH9u3b64svvtBtt1n3Pzl79+5tqoUcHR2tNWvWFMq5iur6z+/15uPjo7vuusto79+/37TYW0Fo2rSpqb1t2zaH9z1x4oQx6zUvWRc/O3funM1Cj7kJDQ01tRs3buzwvoUl62dZWlqawsLCimUcrq6u6tKli1atWmWqkb1nz54iuTkBAMDfjXX/KxwAAAvK78JGu3fvVlRUVIGPJ/tsx+XLlxf4OSTJzc3NeJyfWpX53b9t27amEKywXl9B2bJli/E4p3IDWfu0adOmQM57+vRp9ezZUxcvXjS2Pfjgg1qwYIHKli1bIOcoqTw8PPT888+bto0ZM8bmWnVWbGysTYmBorr+s14vknPXTNbPhMTERG3YsMHhfR0RFBRkCtpXr17tcLmHhQsXOnyeFi1amNo//PCDw/suWbLE1M5+A6k4FNVntaMqVaqk9u3bm7adPn26mEYDAIB1EfwCAFCKZK8Vefz48Tz3ycjI0OTJkwtlPE2bNjXNjPvxxx9tZrsVBG9vb+NxbGys07MIs+7v6Iw/SapcubK6du1qtPfu3asVK1Y4de6ikpaWph07dhhte6FuTEyMEQCWLVvWJtzKj4sXL6pXr16KiYkxtjVp0kSLFy+2VL3n3AwbNkyBgYFGOyYmRkOGDMn3QmIHDx7UQw89pLi4ONP2orr+s14vknPXzLPPPmu6WTJ58uQCXVDN1dVV/fr1M9pJSUl6991389wvKirKqVnsTzzxhKk9e/Zsh+ok79+/3zTju0KFCjYBZ3Ho1KmTaYbt3LlzC+VmoDOy37iw+k0iAACKA8EvAAClSL169UztuXPnKiUlJdd9Jk6cqE2bNhXamMaMGWM8vnHjhgYMGKDDhw87dYw//vjDNBM1u6xfH09NTTUFnI7Iuv++ffucWuhq9OjRplIFw4cP19atW506//nz57V+/Xqn9nHW/v37jRmifn5+qlu3rk2frO/xfffdp9tvv/2WzpmYmKjevXubFoq69957tWzZMpvw0Mp8fHz01VdfqUyZ/62bvHbtWvXp00fnzp1z+DhXr17VjBkz1KlTJ7uzH4vq+s96vUjK9drMrkGDBqabJQcOHNBLL71kqnmbl4yMDK1du1YXLlyw+/yQIUNMf7vz5s3TjBkzcqytHB0drd69ezs1hnr16plunpw9e1avvfZarrVx4+Li9NJLL5n6PPvss3J3d3f4vIXF3d1dI0eONNpJSUnq27ev07NsDxw4oH379tls37Bhg1PlRJKTk7V69WqjXbZsWdWqVcupsQA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\n", 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" ] }, "metadata": { "image/png": { "height": 94, "width": 452 } }, "output_type": "display_data" } ], "source": [ "colors = ['#00A5E0', '#DD403A']\n", "colors_cat = ['#E8907E', '#D5CABD', '#7A6F86', '#C34A36', '#B0A8B9', '#845EC2',\n", " '#8f9aaa', '#FFB86F', '#63BAAA', '#9D88B3', '#38c4e3']\n", "colors_comp = ['steelblue', 'seagreen', 'black', 'darkorange', 'purple',\n", " 'firebrick', 'slategrey']\n", "\n", "sns.palplot(colors)\n", "plt.title('Palette #1 - Binary Comparison')\n", "plt.tick_params(axis='x', bottom=False, labelbottom=False)\n", "\n", "sns.palplot(colors_cat)\n", "plt.title('Palette #2 - Categories')\n", "plt.tick_params(axis='x', bottom=False, labelbottom=False)\n", "\n", "sns.palplot(colors_comp)\n", "plt.title('Palette #3 - Classifier Comparison')\n", "plt.tick_params(axis='x', bottom=False, labelbottom=False)" ] }, { "cell_type": "markdown", "id": "1af8873b", "metadata": {}, "source": [ "
\n", "\n", "# Functions\n", "\n", "## `plot_continuous()`" ] }, { "cell_type": "code", "execution_count": 5, "id": "2d72cec9", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:20.158980Z", "start_time": "2022-03-31T15:54:20.142000Z" }, "code_folding": [] }, "outputs": [], "source": [ "def plot_continuous(df, feature):\n", " '''Plot a histogram and boxplot for the churned and retained distributions for the specified feature.'''\n", " df_churned = df[df['Exited'] == 1]\n", " df_retained = df[df['Exited'] == 0]\n", "\n", " df_func = df.copy()\n", " df_func['Exited'] = df_func['Exited'].astype('category')\n", "\n", " fig, (ax1, ax2) = plt.subplots(2,\n", " figsize=(9, 7),\n", " sharex=True,\n", " gridspec_kw={'height_ratios': (.7, .3)})\n", "\n", " for df, color, label in zip([df_retained, df_churned],\n", " colors,\n", " ['Retained', 'Churned']):\n", " sns.histplot(data=df,\n", " x=feature,\n", " bins=15,\n", " color=color,\n", " alpha=0.66,\n", " edgecolor=edgecolor,\n", " label=label,\n", " kde=False,\n", " ax=ax1)\n", " ax1.legend()\n", "\n", " sns.boxplot(x=feature,\n", " y='Exited',\n", " data=df_func,\n", " linewidth=1.5,\n", " palette=colors,\n", " ax=ax2)\n", " ax2.set_ylabel('')\n", " ax2.set_yticklabels(['Retained', 'Churned'])\n", "\n", " plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "56fff032", "metadata": {}, "source": [ "
\n", "\n", "## `plot_categorical()`" ] }, { "cell_type": "code", "execution_count": 6, "id": "7020522e", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:20.175535Z", "start_time": "2022-03-31T15:54:20.161636Z" }, "code_folding": [] }, "outputs": [], "source": [ "def plot_categorical(df, feature):\n", " '''For a categorical feature, plot a seaborn.countplot for the total counts of each category next to a barplot for the churn rate.'''\n", " fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 5))\n", "\n", " sns.countplot(x=feature,\n", " hue='Exited',\n", " data=df,\n", " palette=colors,\n", " ax=ax1)\n", " \n", " ax1.set_ylabel('Count')\n", " ax1.legend(labels=['Retained', 'Churned'])\n", "\n", " sns.barplot(x=feature,\n", " y='Exited',\n", " data=df,\n", " palette=colors_cat, errwidth=2,\n", " ax=ax2)\n", " \n", " ax2.set_ylabel('Churn rate')\n", "\n", " if (feature == 'HasCrCard' or feature == 'IsActiveMember'):\n", " ax1.set_xticklabels(['No', 'Yes'])\n", " ax2.set_xticklabels(['No', 'Yes'])\n", "\n", " plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "689ea702", "metadata": {}, "source": [ "
\n", "\n", "## `plot_conf_mx()`" ] }, { "cell_type": "code", "execution_count": 7, "id": "3a31b9ff", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:20.192192Z", "start_time": "2022-03-31T15:54:20.180317Z" }, "code_folding": [] }, "outputs": [], "source": [ "def plot_conf_mx(cm, ax):\n", " '''Plot a confusion matrix in the specified axes object.'''\n", " sns.heatmap(data=cm,\n", " annot=True,\n", " cmap='Blues',\n", " annot_kws={'fontsize': font_size + 10},\n", " ax=ax)\n", "\n", " ax.set_xlabel('Predicted Label')\n", " ax.set_xticks([0.5, 1.5])\n", " ax.set_xticklabels(['Retained', 'Churned'])\n", "\n", " ax.set_ylabel('True Label')\n", " ax.set_yticks([0.25, 1.25])\n", " ax.set_yticklabels(['Retained', 'Churned'])" ] }, { "cell_type": "markdown", "id": "7fa85aa7", "metadata": {}, "source": [ "
\n", "\n", "## `clf_performance()`" ] }, { "cell_type": "code", "execution_count": 8, "id": "6729b80e", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:20.216414Z", "start_time": "2022-03-31T15:54:20.201400Z" }, "code_folding": [] }, "outputs": [], "source": [ "comparison_dict = {}\n", "\n", "def clf_performance(classifier, classifier_name, classifier_name_abv, cv):\n", " '''Display the overall performance of a classifier with this template.'''\n", " print('\\n', classifier_name)\n", " print('-------------------------------')\n", " print(' Best Score ({}): '.format(scoring_metric) + str(np.round(classifier.best_score_, 3)))\n", " print(' Best Parameters: ')\n", " for key, value in classifier.best_params_.items():\n", " print(' {}: {}'.format(key, value))\n", "\n", " y_pred_pp = cross_val_predict(estimator=classifier.best_estimator_,\n", " X=X_train,\n", " y=y_train,\n", " cv=cv,\n", " method='predict_proba')[:, 1]\n", " y_pred = y_pred_pp.round()\n", "\n", " cm = confusion_matrix(y_train, y_pred, normalize='true')\n", "\n", " fpr, tpr, _ = roc_curve(y_train, y_pred_pp)\n", " comparison_dict[classifier_name_abv] = [\n", " precision_score(y_train, y_pred),\n", " recall_score(y_train, y_pred),\n", " roc_auc_score(y_train, y_pred_pp), fpr, tpr\n", " ]\n", "\n", " fig, ax = plt.subplots(figsize=(6, 5))\n", "\n", " plot_conf_mx(cm, ax)" ] }, { "cell_type": "markdown", "id": "c2e75802", "metadata": {}, "source": [ "
\n", "\n", "# A Quick Look at our Data\n", "\n", "We start by importing the dataset as a Pandas DataFrame. We can also take a look at the top five rows using the `head()` method:" ] }, { "cell_type": "code", "execution_count": 9, "id": "2df7f40c", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:20.314422Z", "start_time": "2022-03-31T15:54:20.219467Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Dataset Imported Successfully!\n", "\n", "It contains 10000 rows and 14 columns.\n", "Top five rows:\n" ] }, { "data": { "text/html": [ "
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RowNumberCustomerIdSurnameCreditScoreGeographyGenderAgeTenureBalanceNumOfProductsHasCrCardIsActiveMemberEstimatedSalaryExited
0115634602Hargrave619FranceFemale4220.00111101348.881
1215647311Hill608SpainFemale41183807.86101112542.580
2315619304Onio502FranceFemale428159660.80310113931.571
3415701354Boni699FranceFemale3910.0020093826.630
4515737888Mitchell850SpainFemale432125510.8211179084.100
\n", "
" ], "text/plain": [ " RowNumber CustomerId Surname CreditScore Geography Gender Age \\\n", "0 1 15634602 Hargrave 619 France Female 42 \n", "1 2 15647311 Hill 608 Spain Female 41 \n", "2 3 15619304 Onio 502 France Female 42 \n", "3 4 15701354 Boni 699 France Female 39 \n", "4 5 15737888 Mitchell 850 Spain Female 43 \n", "\n", " Tenure Balance NumOfProducts HasCrCard IsActiveMember \\\n", "0 2 0.00 1 1 1 \n", "1 1 83807.86 1 0 1 \n", "2 8 159660.80 3 1 0 \n", "3 1 0.00 2 0 0 \n", "4 2 125510.82 1 1 1 \n", "\n", " EstimatedSalary Exited \n", "0 101348.88 1 \n", "1 112542.58 0 \n", "2 113931.57 1 \n", "3 93826.63 0 \n", "4 79084.10 0 " ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.read_csv('Data\\Dataset.csv')\n", "\n", "print('Dataset Imported Successfully!\\n')\n", "print('It contains {} rows and {} columns.'.format(df.shape[0], df.shape[1]))\n", "print('Top five rows:')\n", "df.head()" ] }, { "cell_type": "markdown", "id": "8ffedfe9", "metadata": {}, "source": [ "Our DataFrame has 14 features and 10K instances. The last feature, '**Exited**', is the **target variable** and indicates whether the customer has churned (0 = No, 1 = Yes). The meaning of the rest of the features can be easily inferred from their name.\n", "\n", "Features 'RowNumber', 'CustomerId', and 'Surname' are specific to each customer and can be dropped:" ] }, { "cell_type": "code", "execution_count": 10, "id": "1ef38e80", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:20.341254Z", "start_time": "2022-03-31T15:54:20.318731Z" } }, "outputs": [ { "data": { "text/plain": [ "Index(['CreditScore', 'Geography', 'Gender', 'Age', 'Tenure', 'Balance',\n", " 'NumOfProducts', 'HasCrCard', 'IsActiveMember', 'EstimatedSalary',\n", " 'Exited'],\n", " dtype='object')" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.drop(['RowNumber', 'CustomerId', 'Surname'], axis=1, inplace=True)\n", "df.columns" ] }, { "cell_type": "markdown", "id": "fc01e9dd", "metadata": {}, "source": [ "The `info()` method can give us valuable information such as the number of non-null values and the type of each feature:" ] }, { "cell_type": "code", "execution_count": 11, "id": "5de7dbb6", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:20.380734Z", "start_time": "2022-03-31T15:54:20.346120Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "RangeIndex: 10000 entries, 0 to 9999\n", "Data columns (total 11 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 CreditScore 10000 non-null int64 \n", " 1 Geography 10000 non-null object \n", " 2 Gender 10000 non-null object \n", " 3 Age 10000 non-null int64 \n", " 4 Tenure 10000 non-null int64 \n", " 5 Balance 10000 non-null float64\n", " 6 NumOfProducts 10000 non-null int64 \n", " 7 HasCrCard 10000 non-null int64 \n", " 8 IsActiveMember 10000 non-null int64 \n", " 9 EstimatedSalary 10000 non-null float64\n", " 10 Exited 10000 non-null int64 \n", "dtypes: float64(2), int64(7), object(2)\n", "memory usage: 859.5+ KB\n" ] } ], "source": [ "df.info()" ] }, { "cell_type": "markdown", "id": "c591ba3d", "metadata": {}, "source": [ "Thankfully, there are **no missing values** in our DataFrame. The `describe()` method gives us a statistical summary of the numerical features:" ] }, { "cell_type": "code", "execution_count": 12, "id": "8ef23865", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:20.477400Z", "start_time": "2022-03-31T15:54:20.387598Z" } }, "outputs": [ { "data": { "text/html": [ "
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countmeanstdmin25%50%75%max
CreditScore10000.0650.52996.653350.00584.00652.000718.000850.00
Age10000.038.92210.48818.0032.0037.00044.00092.00
Tenure10000.05.0132.8920.003.005.0007.00010.00
Balance10000.076485.88962397.4050.000.0097198.540127644.240250898.09
NumOfProducts10000.01.5300.5821.001.001.0002.0004.00
HasCrCard10000.00.7060.4560.000.001.0001.0001.00
IsActiveMember10000.00.5150.5000.000.001.0001.0001.00
EstimatedSalary10000.0100090.24057510.49311.5851002.11100193.915149388.247199992.48
Exited10000.00.2040.4030.000.000.0000.0001.00
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" ], "text/plain": [ " count mean std min 25% 50% \\\n", "CreditScore 10000.0 650.529 96.653 350.00 584.00 652.000 \n", "Age 10000.0 38.922 10.488 18.00 32.00 37.000 \n", "Tenure 10000.0 5.013 2.892 0.00 3.00 5.000 \n", "Balance 10000.0 76485.889 62397.405 0.00 0.00 97198.540 \n", "NumOfProducts 10000.0 1.530 0.582 1.00 1.00 1.000 \n", "HasCrCard 10000.0 0.706 0.456 0.00 0.00 1.000 \n", "IsActiveMember 10000.0 0.515 0.500 0.00 0.00 1.000 \n", "EstimatedSalary 10000.0 100090.240 57510.493 11.58 51002.11 100193.915 \n", "Exited 10000.0 0.204 0.403 0.00 0.00 0.000 \n", "\n", " 75% max \n", "CreditScore 718.000 850.00 \n", "Age 44.000 92.00 \n", "Tenure 7.000 10.00 \n", "Balance 127644.240 250898.09 \n", "NumOfProducts 2.000 4.00 \n", "HasCrCard 1.000 1.00 \n", "IsActiveMember 1.000 1.00 \n", "EstimatedSalary 149388.247 199992.48 \n", "Exited 0.000 1.00 " ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.describe().T" ] }, { "cell_type": "markdown", "id": "8b75c830", "metadata": {}, "source": [ "The most important things to note are:\n", "\n", "- The age of customers ranges from 18 to 92, with a mean value approximately equal to 40.\n", "- The mean (and median) tenure is five years, so the majority of customers are loyal (tenure > 3).\n", "- Approximately 50% of customers are active.\n", "\n", "EDA will help us understand our dataset better. However, before we look at the data further, we need to create a **test set**, put it aside, and use it only to evaluate our ML models. This practice protects our models from **data snooping bias** (you can read more on page 51 of Ref. [[1](#References)]) and ensures that evaluation will be performed using unseen data. " ] }, { "cell_type": "markdown", "id": "5c8ceb26", "metadata": {}, "source": [ "
\n", "\n", "# Creating a Test Set\n", "\n", "We will split our dataset into a train and a test set using scikit-learn's `StratifiedShuffleSplit()` function, which implements **stratified sampling**. In this method, the population is divided into homogeneous subgroups called *strata*, and the right number of instances are sampled from each stratum to guaranτee that the test set is representative of the overall population (Ref. [[1](#References)])." ] }, { "cell_type": "code", "execution_count": 13, "id": "509ab228", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:20.514675Z", "start_time": "2022-03-31T15:54:20.482581Z" } }, "outputs": [], "source": [ "split = StratifiedShuffleSplit(n_splits=1,\n", " test_size=0.2,\n", " random_state=random_state)\n", "\n", "for train_index, test_index in split.split(df, df['Exited']):\n", " train_df = df.loc[train_index]\n", " test_df = df.loc[test_index]" ] }, { "cell_type": "markdown", "id": "2220ead3", "metadata": {}, "source": [ "
\n", "\n", "---\n", "\n", "# Exploratory Data Analysis\n", "\n", "## Target Variable: Exited\n", "\n", "As we mentioned earlier, the target variable is already encoded and can take two possible values:\n", "\n", "- Zero (0) for a customer that has **not** churned, and\n", "- One (1) for a customer that has churned." ] }, { "cell_type": "code", "execution_count": 14, "id": "8d7722b9", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:21.068443Z", "start_time": "2022-03-31T15:54:20.520271Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 410, "width": 463 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(6, 6))\n", "\n", "sns.countplot(x='Exited', data=train_df, palette=colors, ax=ax)\n", "\n", "for index, value in enumerate(train_df['Exited'].value_counts()):\n", " label = '{}%'.format(round((value / train_df['Exited'].shape[0]) * 100, 2))\n", " ax.annotate(label,\n", " xy=(index, value + 250),\n", " ha='center',\n", " va='center',\n", " color=colors[index],\n", " fontweight='bold',\n", " size=font_size + 4)\n", "\n", "ax.set_xticklabels(['Retained', 'Churned'])\n", "ax.set(xlabel='Status', ylabel='Count')\n", "ax.set_ylim([0, 7100]);" ] }, { "cell_type": "markdown", "id": "703f7f96", "metadata": {}, "source": [ "The bank kept 80% of its clientele.\n", "\n", "Notice that our dataset is **skewed/imbalanced** since the number of instances in the 'Retained' class outnumbers the number of instances in the 'Churned' class by a factor of 4. Therefore, we need to factor in class imbalance before building any models.\n", "\n", "Different visualisation techniques apply to different types of variables, so it is helpful to differentiate between continuous and categorical variables and look at them separately." ] }, { "cell_type": "code", "execution_count": 15, "id": "4df543c8", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:21.106582Z", "start_time": "2022-03-31T15:54:21.094712Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Continuous: Age, CreditScore, Balance, EstimatedSalary\n", "Categorical: Geography, Gender, Tenure, NumOfProducts, HasCrCard, IsActiveMember\n" ] } ], "source": [ "continuous = ['Age', 'CreditScore', 'Balance', 'EstimatedSalary']\n", "categorical = ['Geography', 'Gender', 'Tenure', 'NumOfProducts', 'HasCrCard', 'IsActiveMember']\n", "\n", "print('Continuous: ', ', '.join(continuous))\n", "print('Categorical: ', ', '.join(categorical))" ] }, { "cell_type": "markdown", "id": "07ec0b93", "metadata": {}, "source": [ "
\n", "\n", "## Continuous Variables\n", "\n", "By calling the `hist()` method, we can plot a histogram for each of the four continuous numeric features:" ] }, { "cell_type": "code", "execution_count": 16, "id": "3f938fd9", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:25.222305Z", "start_time": "2022-03-31T15:54:21.111200Z" }, "scrolled": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 639, "width": 1019 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(15, 10), facecolor=facecolor)\n", "\n", "train_df[continuous].hist(bins=20,\n", " layout=(2, 2),\n", " color='lightsteelblue',\n", " edgecolor=edgecolor,\n", " linewidth=1.5,\n", " ax=ax);" ] }, { "cell_type": "markdown", "id": "9e9ed925", "metadata": {}, "source": [ "- 'Age' is slightly tail-heavy, i.e. it extends more further to the right of the median than to the left,\n", "- Most values for 'CreditScore' are above 600,\n", "- If we ignore the first bin, 'Balance' follows a relatively normal distribution, and\n", "- The distribution of 'EstimatedSalary' is more or less uniform and provides little information.\n", "\n", "
\n", "\n", "### Looking for Correlations\n", "\n", "We can compute the standard correlation coefficient between every pair of (continuous) features using the pandas' `corr()` method and plot it as a matrix:" ] }, { "cell_type": "code", "execution_count": 17, "id": "83f24956", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:26.162919Z", "start_time": "2022-03-31T15:54:25.229715Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 452, "width": 587 } }, "output_type": "display_data" } ], "source": [ "ig, ax = plt.subplots(figsize=(7, 6))\n", "\n", "sns.heatmap(train_df[continuous].corr(),\n", " annot=True,\n", " annot_kws={'fontsize': font_size},\n", " cmap='Blues',\n", " ax=ax)\n", "\n", "ax.tick_params(axis='x', rotation=25)\n", "ax.tick_params(axis='y', rotation=360);" ] }, { "cell_type": "markdown", "id": "06d61a5b", "metadata": {}, "source": [ "There is no significant intercorrelation between our features, so we do **not** have to worry about multicollinearity.\n", "\n", "Let's look at these features in greater detail.\n", "\n", "
\n", "\n", "### Age" ] }, { "cell_type": "code", "execution_count": 18, "id": "81632c2b", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:27.251531Z", "start_time": "2022-03-31T15:54:26.168569Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 488, "width": 631 } }, "output_type": "display_data" } ], "source": [ "plot_continuous(df, 'Age')" ] }, { "cell_type": "markdown", "id": "bceba59e", "metadata": {}, "source": [ "Interestingly, there is a clear difference between age groups, with older customers more likely to churn. This observation could potentially indicate that preferences change with age, and the bank hasn't adapted its strategy to meet the requirements of older customers.\n", "\n", "
\n", "\n", "### Credit Score" ] }, { "cell_type": "code", "execution_count": 19, "id": "d2b00a89", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:28.375862Z", "start_time": "2022-03-31T15:54:27.257824Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 488, "width": 631 } }, "output_type": "display_data" } ], "source": [ "plot_continuous(df, 'CreditScore')" ] }, { "cell_type": "markdown", "id": "98efb82c", "metadata": {}, "source": [ "There is no significant difference between retained and churned customers regarding their credit scores.\n", "\n", "
\n", "\n", "### Balance" ] }, { "cell_type": "code", "execution_count": 20, "id": "eed64141", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:29.477929Z", "start_time": "2022-03-31T15:54:28.383651Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 488, "width": 633 } }, "output_type": "display_data" } ], "source": [ "plot_continuous(df, 'Balance')" ] }, { "cell_type": "markdown", "id": "f857af73", "metadata": {}, "source": [ "Again, the two distributions are pretty similar. There is a significant percentage of non-churned customers with a low account balance.\n", "\n", "
\n", "\n", "### Estimated Salary" ] }, { "cell_type": "code", "execution_count": 21, "id": "c46b950f", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:30.576458Z", "start_time": "2022-03-31T15:54:29.483256Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 488, "width": 634 } }, "output_type": "display_data" } ], "source": [ "plot_continuous(df, 'EstimatedSalary')\n", "\n", "ax = plt.gca()\n", "ax.xaxis.set_major_locator(plt.MaxNLocator(5))" ] }, { "cell_type": "markdown", "id": "7d1432b9", "metadata": {}, "source": [ "Both churned and retained customers display a similar uniform distribution in their salaries. Consequently, we can conclude that salary does not have a significant effect on the likelihood to churn.\n", "\n", "
\n", "\n", "## Categorical Variables\n", "\n", "Let's plot a seaborn.countplot for each categorical feature:" ] }, { "cell_type": "code", "execution_count": 22, "id": "bf88b24d", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:32.676538Z", "start_time": "2022-03-31T15:54:30.583486Z" } }, "outputs": [ { "data": { "image/png": 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g9OnTGc5c7NixI5ydndG2bVtERUUhIiICy5Ytg4ODQ6Z1v337Fnv27BHS3bp1w/79+0Wvjba2Nvr164fy5cujR48eSE5OxufPn7Fp0ybMnTs329eGiIiIiKTT0tKCra0tZs+eneWkTSsrK+zevRvm5ubYunUrgLRdiNatW4dly5YpLMN+JREREWkirhBXIQMDA1E6Li5OUjn5fPL1yF+TWm9O6o6Pj8/TuomIiIgKu4EDB6J69eqigbm8cOLECfj6+grpZcuWZQiGpzMxMRENUrq7u+POnTuZ1r1z505EREQI6Q0bNmQYtExXuXJlzJw5U0gfP34cHz9+zLRu2XMj9fT0sH79+kxfm5YtW2LUqFFCevv27YiJicm0biIiIiJSXqNGjeDo6Ch5B6OFCxeifPnyQvrs2bOZ5mW/koiIiDQRA+IqZGhoKErHxsZKKiefT74e+WtS61WUt0SJEvlaNxERERHljOzAY9myZdGzZ88s8/fq1QsWFhZC+syZM5Lqbtq0KZo0aZJl3T/99BOKFSsGAEhJSYGTk5PCfImJiaKV6T179kS5cuWyrHvcuHHC46ioKFy+fDnL/ERERESkWkWKFEHnzp2FtL+/f6bBZfYriYiISBMxIK5CpUqVEqX/++8/SeXk88nXI38tOjpa8jk48nWbmppmWbfUNkutm4iIiIiUFxsbixs3bgjpTp06ZXtsjq6uLjp16iSkXVxcFObz9fXF69evhXS3bt2ybY+JiQmaN2+ebd3u7u4ICwtTqu5atWqhUqVK2dZNRERERPlHfpxP0Vgk+5VERESkqRgQV6EaNWqI0n5+fpLKyeeTryev6tbW1ka1atWyrDs0NFRysF22bnNzc5QsWVJSOSIiIiLKmre3t+gom5YtW0oqJ5vP398foaGhGfJ4eHhkWkZq3S9evFCY5/nz56J0q1atlK5bvg4iIiIiyn+fPn0SHmtraytcwMN+JREREWkqBsRVqFatWqK0fKcwM7L5ihQpgipVqqik7ooVK0JfXz/buqV2FmXrrlmzpqQyRERERJQ9Ly8vUbpq1aqSysnnk68HSAu257buiIgIfP78Ocu69fT0ULFiRaXrfvfunXBWJBERERHlv9jYWNF2402aNFG4WxH7lURERKSpst5nkXLF0tISVlZW8PX1BQDcuXNHUjnZfK1atYKOjk6GPI0bN0bx4sURHR0tlBk6dGi2dbu7uwuP27RpozBP69atM7RH/pq8uLg4PH78ONu6iYiIiEh5sitygLR+phQVKlTIUI+1tXWmdevo6KBs2bI5rrt8+fKZ1l22bFloa0ubjytbd3x8PP77778MdWfm7du3kvLlRLNmzVRWN1FBpMrfN1Xj7zORWEH+fSbVc3BwQEREhJAePHiwwnyFrV9JREREhQcD4irWs2dPbNmyBQBw+/Zt+Pn5ZejkyfLz8xMFxHv37q0wn76+Pjp16gQnJycAgJOTE1atWgUDA4NM6757964QnM+q7goVKqBRo0Z49uwZAODo0aOYOXMmtLS0Mq377NmziI2NzbZuIiIiIlKe/BE2Uo+mMTIyEqWjoqKyrNvQ0FDhZMy8qFuZ43Sk1E1EREREqvfq1Sv8/fffQrpy5coYOXKkwryFrV8pO1FEEydSZTeRRdPaXNDaC2Td5oLWXkDz2lzQ2gsUvDazvapX0Npc0NoL5N3ETQbEVcze3h7btm1DSkoKUlJSsHr1amzatCnT/KtWrUJKSgoAoESJErCzs8s074gRI4SAeEREBLZt24YZM2YozJuamoqVK1cKaUtLS3To0CHLutMD4u/evcPx48cxaNAghXnj4+Oxfv16Id28efMM264TERERUc6l7wqUTtGxN4rI51M0AChbt9R6NaHuzFSvXl1yXiLKHf6+ERUe/H0mRUJCQjB8+HDExcUBSFv1vW3bNhQpUkRh/sLWryQiIqLCgwFxFatduzYGDRqEI0eOAAAOHDiAZs2a4aeffsqQd+/evTh48KCQnjx5MkqVKpVp3V26dIGNjY2wDfqqVavQoEEDdO3aNUPepUuX4saNG0L6zz//zLTzCgA//fQTtm7divfv3wMAZs2ahWrVqqFJkyaifElJSZg6daroPMqFCxdmWi8RERERKS8xMVGUVnRmoyLy+eTrkb8mtd6c1C11hZDUuomIiIhIdWJjYzFs2DBhbBAA5s+fn+H4HVmFrV+p6RNFNL198gpae4GC12a2V/UKWpvZXtUraG0uaO0F8q7NDIj/f6tXr8aaNWsyXE9ISBAeu7u7w9zcPEOewYMHZ7nqe8mSJbh79y4+fvwIAJgyZQpcXFzQv39/WFhYICAgACdOnMDFixeFMk2aNMGUKVOybffGjRvRtWtXhIaGIiEhAUOHDkX//v1ha2sLU1NTfPz4EY6Ojrh7965Q5scff8SQIUOyrFdPTw9bt25F3759ER8fj7CwMPTo0QMjRoxAhw4dYGhoCB8fH+zduxcvXrwQyo0bN47nhxMRERHlMfljceLi4rI8Kkc2X1b1yF+Tz5+XdcfHx+dp3URERESkGgkJCRgxYgTu3bsnXBs3bhymTZuWZTn2K4mIiEhTMSD+/yUlJWXbmUpNTVWYJ7uZhWZmZjh+/Dj69esHf39/AICLiwtcXFwU5q9bty6OHj0qqYNWvXp1HDp0CMOGDUNoaCiSk5Nx7NgxHDt2TGH+du3aYc+ePdDW1s62bmtra+zcuRMTJ05ETEwM4uLisGvXLuzatUth/oEDB4q2ZSciIiKivGFoaChKx8bGSuorxsbGZlmP/DX5/MrUXaJEiXytm4iIiIjyXmJiIkaOHIkrV64I10aOHIlVq1ZlW5b9SiIiItJU2UdFKU/UqFED7u7uGDt2rMKBSAAwNTXFjBkzcP36dZiZmUmu29raGnfv3sWAAQNQtGhRhXnKly+P5cuX48yZM0rNhOzTpw/c3NzQtWvXTLcjqlq1KhwcHLBr1y5JgXYiIiIiUo78MTr//fefpHLy+RQdxyN7LTo6GpGRkTmq29TUNMu6pbZZat1ERERElLeSkpIwduxY0SKe4cOHY8OGDdDS0sq2PPuVREREpKm4Qvz/mzNnDubMmaPSexgZGWHt2rVYunQpbt++DT8/P4SFhaFUqVKwsrJC69atlTpfR5aFhQV2796N8PBw3L59G1++fEFUVBTMzMxQvXp1tGjRQlLHVZGqVavi2LFjCAoKgru7O758+YL4+HiYm5ujdu3aaNSoUY7qJSIiIiJpatSoIUr7+fmhbt262Zbz8/PLsp7M6q5Tp45SdWtra6NatWoK63Z2dgYAhIaGIjIyUtKqHNm6zc3NUbJkyWzLEBEREVHOJScnY9y4cXBychKuDRs2DJs2bZI8psh+JREREWkqBsTVQF9fH126dFFJ3SVLloStra1K6jYzM0OfPn1UUjcRERERZa5WrVqitIeHB7p3755tOQ8PD+FxkSJFUKVKFUl1Sxm4lK27YsWK0NfXz7bu58+fo3Xr1krVXbNmzWzzExEREVHOJScn45dffsHp06eFa0OHDsWWLVuU2g2S/UoiIiLSVNzfmoiIiIhIw1laWsLKykpI37lzR1I52XytWrVSeARO48aNUbx4caXrdnd3Fx63adNGYR75QUopdcfFxeHx48fZ1k1EREREuZecnIwJEybg5MmTwrUhQ4Zg69atSh+NyH4lERERaSoGxImIiIiICoCePXsKj9OP38mKn5+faKCwd+/eCvPp6+ujU6dOQtrJyQkxMTFZ1n337l34+vpmW3eFChVEx+scPXoUqampWdZ99uxZxMbGZls3EREREeVOSkoKJk6ciOPHjwvXBg8ejG3btikdDAfYryQiIiLNxYA4EREREVEBYG9vLwxMpqSkYPXq1VnmX7VqFVJSUgAAJUqUgJ2dXaZ5R4wYITyOiIjAtm3bMs2bmpqKlStXCmlLS0t06NBBUt3v3r0TDbjKi4+Px/r164V08+bNM2yPSURERES5l5KSgsmTJ+PYsWPCtUGDBmH79u05CoanY7+SiIiINBED4kREREREBUDt2rUxaNAgIX3gwAEcOHBAYd69e/fi4MGDQnry5MkoVapUpnV36dIFNjY2QnrVqlW4dOmSwrxLly7FjRs3hPSff/6JIkWKZFr3Tz/9JDq7fNasWXjy5EmGfElJSZg6dSq8vLyEawsXLsy0XiIiIiLKmdTUVEybNg2HDx8Wrg0aNAg7duzIVTAcYL+SiIiINJOuuhtARERERFSYrF69GmvWrMlwPSEhQXjs7u4Oc3PzDHkGDx6MTZs2ZVr3kiVLcPfuXXz8+BEAMGXKFLi4uKB///6wsLBAQEAATpw4gYsXLwplmjRpgilTpmTb7o0bN6Jr164IDQ1FQkIChg4div79+8PW1hampqb4+PEjHB0dcffuXaHMjz/+iCFDhmRZr56eHrZu3Yq+ffsiPj4eYWFh6NGjB0aMGIEOHTrA0NAQPj4+2Lt3L168eCGUGzduHM95JCIiIlKBM2fOiCZWamlpITAwEAMHDpRcx+LFi1GvXj2Fz7FfSURERJqGAXEiIiIiojyUlJSE+Pj4LPOkpqYqzJOYmJhlOTMzMxw/fhz9+vWDv78/AMDFxQUuLi4K89etWxdHjx6FgYFBtu2uXr06Dh06hGHDhiE0NBTJyck4duyYaBtNWe3atcOePXskrSKytrbGzp07MXHiRMTExCAuLg67du3Crl27FOYfOHCgaPtMIiIiIso78ud6p6amilZqSzFt2rRMn2O/koiIiDQNt0wnIiIiIipAatSoAXd3d4wdOxaGhoYK85iammLGjBm4fv06zMzMJNdtbW2Nu3fvYsCAAShatKjCPOXLl8fy5ctx5swZSYH2dH369IGbmxu6du0KHR0dhXmqVq0KBwcH7Nq1K9fbdRIRERGR+rBfSURERJqEK8SJiIiIiPLQnDlzMGfOHJXew8jICGvXrsXSpUtx+/Zt+Pn5ISwsDKVKlYKVlRVat24NXd2cdfUtLCywe/duhIeH4/bt2/jy5QuioqJgZmaG6tWro0WLFtDS0spR3VWrVsWxY8cQFBQEd3d3fPnyBfHx8TA3N0ft2rXRqFGjHNVLRERERNLZ29vD3t5e5fdhv5KIiIg0BQPiREREREQFlL6+Prp06aKSukuWLAlbW1uV1G1mZoY+ffqopG4iIiIi0izsVxIREZG6cb8YIiIiIiIiIiIiIiIiIiIqlBgQJyIiIiIiIiIiIiIiIiKiQokBcSIiIiIiIiIiIiIiIiIiKpQYECciIiIiIiIiIiIiIiIiokKJAXEiIiIiIiIiIiIiIiIiIiqUGBAnIiIiIiIiIiIiIiIiIqJCiQFxIiIiIiIiIiIiIiIiIiIqlBgQJyIiIiIiIiIiIiIiIiKiQokBcSIiIiIiIiIiIiIiIiIiKpQYECciIiIiIiIiIiIiIiIiokKJAXEiIiIiIiIiIiIiIiIiIiqUGBAnIiIiIiIiIiIiIiIiIqJCiQFxIiIiIiIiIiIiIiIiIiIqlBgQJyIiIiIiIiIiIiIiIiKiQokBcSIiIiIiIiIiIiIiIiIiKpQYECciIiIiIiIiIiIiIiIiokKJAXEiIiIiIiIiIiIiIiIiIiqUGBAnIiIiIiIiIiIiIiIiIqJCiQFxIiIiIiIiIiIiIiIiIiIqlBgQJyIiIiIiIiIiIiIiIiKiQokBcSIiIiIiIiIiIiIiIiIiKpQYECciIiIiIiIiIiIiIiIiokKJAXEiIiIiIiIiIiIiIiIiIiqUGBAnIiIiIiIiIiIiIiIiIqJCiQFxIiIiIiIiIiIiIiIiIiIqlBgQJyIiIiIiIiIiIiIiIiKiQokBcSIiIiIiIiIiIiIiIiIiKpQYECciIiIiIiIiIiIiIiIiokKJAXEiIiIiIiIiIiIiIiIiIiqUGBAnIiIiIiIiIiIiIiIiIqJCiQFxIiIiIiIiIiIiIiIiIiIqlBgQJyIiIiIiIiIiIiIiIiKiQokBcSIiIiIiIiIiIiIiIiIiKpQYECciIiIiIiIiIiIiIiIiokKJAXEiIiIiIiIiIiIiIiIiIiqUGBAnIiIiIiIiIiIiIiIiIqJCiQFxIiIiIiIiIiIiIiIiIiIqlBgQJyIiIiIiIiIiIiIiIiKiQokBcSIiIiIiIiIiIiIiIiIiKpQYECciIiIiIiIiIiIiIiIiokKJAXEiIiIiIiIiIiIiIiIiIiqUGBAnIiIiIiIiIiIiIiIiIqJCiQFxIiIiIiIiIiIiIiIiIiIqlBgQJyIiIiIiIiIiIiIiIiKiQokBcSIiIiIiIiIiIiIiIiIiKpQYECciIiIiIiIiIiIiIiIiokKJAXEiIiIiIiIiIiIiIiIiIiqUGBAnIiIiIiIiIiIiIiIiIqJCiQFxIiIiIiIiIiIiIiIiIiIqlBgQJyIiIiIiIiIiIiIiIiKiQokBcSIiIiIiIiIiIiIiIiIiKpQYECciIiIiIiIiIiIiIiIiokKJAXEiIiIiIiIiIiIiIiIiIiqUGBAnIiIiIiIiIiIiIiIiIqJCiQFxIiIiIiIiIiIiIiIiIiIqlBgQJyIiIiIiIiIiIiIiIiKiQokBcSIiIiIiIiIiIiIiIiIiKpQYECciIiIiIiIiIiIiIiIiokKJAXEiIiIiIiIiIiIiIiIiIiqUGBAnIiIiIiIiIiIiIiIiIqJCiQFxIiIiIiIiIiIiIiIiIiIqlBgQJyIiIiIiIiIiIiIiIiKiQokBcSIiIiIiIiIiIiIiIiIiKpQYECciIiIiIiIiIiIiIiIiokKJAXEiIiIiIiIiIiIiIiIiIiqUGBAnIiIiIiIiIiIiIiIiIqJCiQFxIiIiIiIiIiIiIiIiIiIqlBgQJyIiIiIiIiIiIiIiIiKiQklX3Q2ggsPPzw9Hjx6Fq6sr/P39ERISAjMzM1SqVAm9evXCwIEDUbp0aXU3k4iIiIg0GPuURERERJQX2K8kIiIiqRgQJ0kcHBywaNEixMbGiq5//vwZnz9/hru7O1atWoV169bBzs5OTa0kIiIiIk3GPiURERER5QX2K4mIiEgZDIhTtpYuXYo1a9aIrlWtWhUWFhb48uULPnz4AAAIDQ3F6NGjER0djeHDh6ujqURERESkodinJCIiIqK8wH4lERERKYtniFOWnJycRB3MWrVq4caNG3j8+DEuXLiAp0+f4vr166hZs6aQZ9q0aXj8+LE6mktEREREGoh9SiIiIiLKC+xXEhERUU4wIE6ZSkhIwIIFC4R0+fLl4erqikaNGonyNW7cGK6urihXrhwAICkpCfPnz8/PphIRERGRhmKfkoiIiIjyAvuVRERElFMMiFOmTpw4AV9fXyG9bNkyGBsbK8xrYmKCZcuWCWl3d3fcuXNHxS0kIiIiIk3HPiURERER5QX2K4mIiCinGBCnTJ09e1Z4XLZsWfTs2TPL/L169YKFhYWQPnPmjKqaRkREREQFBPuURERERJQX2K8kIiKinGJAnBSKjY3FjRs3hHSnTp2gq6ubZRldXV106tRJSLu4uKiqeURERERUALBPSURERER5gf1KIiIiyg0GxEkhb29vxMfHC+mWLVtKKiebz9/fH6GhoXneNiIiIiIqGNinJCIiIqK8wH4lERER5QYD4qSQl5eXKF21alVJ5eTzyddDRERERN8P9imJiIiIKC+wX0lERES5wYA4KfTp0ydR2tLSUlK5ChUqZFkPEREREX0/2KckIiIiorzAfiURERHlRtYHrdB3KzIyUpQuWbKkpHJGRkaidFRUlKRyLVq0kNYwosys3aXuFhARaZQT5w+quwlE+d6nBNivJMo37H8TEVE+Yr9SDj+HVa6gfaeeWbOmupuglFnz1N0C5e2tOV3dTVDKltUL1d0EJTmquwFKqzl7ibqboJSVDn+ouwlKqzkt7+riCnFSKDo6WpTW19eXVE4+nzKdTCIiIiIqXNinJCIiIqK8wH4lERER5QZXiJNCiYmJorSurrS3inw++XrkPXjwQLmGEREREVGBkV99SoD9SiIiIqLCjP1KIiIiyg2uECeFDAwMROm4uDhJ5eTzyddDRERERN8P9imJiIiIKC+wX0lERES5wYA4KWRoaChKx8bGSionn0++HiIiIiL6frBPSURERER5gf1KIiIiyg0GxEmhUqVKidL//fefpHLy+eTrISIiIqLvB/uURERERJQX2K8kIiKi3GBAnBSqUaOGKO3n5yepnHw++XqIiIiI6PvBPiURERER5QX2K4mIiCg3GBAnhWrVqiVKe3h4SConm69IkSKoUqVKnraLiIiIiAoO9imJiIiIKC+wX0lERES5wYA4KWRpaQkrKyshfefOHUnlZPO1atUKOjo6ed00IiKifFe/fn0YGxvD2NgYjo6O6m4OUYHBPiURERER5QX2K4mIiCg3dNXdANJcPXv2xJYtWwAAt2/fhp+fHypUqJBpfj8/P1Ens3fv3ipvI1F++fbtG65fvw43Nzd4eHggODgYoaGhSExMRMmSJWFiYoKaNWuiQYMG6NChA5o1awYtLS11N5soz4SHh+PUqVO4desWPD098e3bN0RGRqJo0aIwMjJChQoVUKVKFTRs2BAtWrRA48aNOdBARADYp6TCr379+sJ2rFu3boW9vb2aW0RUuE2cOBGHDx8GAAwdOhTbt29Xc4uIKL+wX6k6ERER8PDwwLNnz4R/79+/R2pqKgCgdevWuHDhgppb+X/i4uJw//59YZzO29sbwcHBSEhIQMmSJVGhQgU0a9YMdnZ2sLGxUXdzC6Vx48bh+PHjomseHh6oVKmSmlpEqmJsbJyr8hUqVICnp2feNIYoFxgQp0zZ29tj27ZtSElJQUpKClavXo1NmzZlmn/VqlVISUkBAJQoUQJ2dnb51dRsrVixAitXrsxR2QkTJuDvv//O4xZRQeHn54eNGzfi4MGDiI+PV5gnKCgIQUFBePPmDc6dO4dly5bB0tIS9vb2mDhxYq47DUTqlJycjC1btmDlypWIiYnJ8HxMTAxiYmLw33//4eHDhzh69CgAoGTJkjh58iSaNWuW300mIg1TmPqUmoj9XCLKjqK/EyYmJvDy8kLRokUl15OYmIhatWohODhYdH327NmYM2dOnrSViCgrBbFf6efnh6NHj8LV1RX+/v4ICQmBmZkZKlWqhF69emHgwIEoXbp0vrdLVrNmzfDu3Tsh+K3JAgMDMWfOHFy8eBFRUVEK83z79g3fvn3D06dPsWvXLjRv3hxbtmxBzZo187m1/yclJQUvX77EgwcP8PLlS3h7e8PPzw8hISGIjY2FgYEBjI2NUbduXbRu3RqDBg2Cubm52tqbHWdn5wzBcHX6+PEjGjZsqHS56tWr4+HDhypokfISExNx/fp1nDt3Do8fP0ZgYCDCwsJgYGAAS0tL1KtXD23atEHbtm1RuXJldTdXKaVKlVLr/ePi4nDu3DlcvHgRHh4e+Pr1K6Kjo1G8eHGYm5ujQYMG6Nq1K3r37g19fX21thVIG2s9cuQIrly5Ak9PTwQHB0NbWxsWFhaoV68e7Ozs0KNHD+jp6ank/vkxQUpdn40MiFOmateujUGDBuHIkSMAgAMHDqBZs2b46aefMuTdu3cvDh48KKQnT56s9j90RLl15swZTJ48GdHR0aLrOjo6qFixIkxNTVG8eHGEhIQgKCgIX79+FfL4+/tj5cqV2L59O27duiXa1ouooEhMTMSoUaMydHKKFCmCatWqwdTUFKmpqQgNDcW7d+9Ek0bCw8MRFhaWzy0mIk3EPiURkeYJDQ2Fi4sL+vbtK7mMs7NzhmA4EVF+Kmj9SgcHByxatAixsbGi658/f8bnz5/h7u6OVatWYd26dWqdBOrj46O2eyvr8+fPOHnyZIbr5cuXR9myZaGvr4+AgADRz/Tw4UP88MMPOHnyJFq1apWfzRVs3boV8+fPz/T5yMhIREZGws/PD66urliyZAmmTJmCWbNmoUiRIvnY0uyFhYXht99+U3czChU3NzfMmDED3t7eGZ6LiIjAq1ev8OrVKxw7dgzlypXDq1ev8rV9nTp1Uir/p0+f8PbtWyE9aNCgvG6SZBcvXsRvv/2Gz58/Z3guIiICERERePv2LU6ePIlFixZh7dq16NGjhxpamub06dOYOXMmvn37luE5Hx8f+Pj44MyZM6hXrx62bduGBg0a5On982OClDo/GxkQpywtWbIEd+/excePHwEAU6ZMgYuLC/r37w8LCwsEBATgxIkTuHjxolCmSZMmmDJlirqaLIkyf8TVOXuQ1Gft2rVYsmSJ6Frnzp3x888/w8bGBkZGRhnK+Pn54ebNmzh69Cjc3NwA/N8HK1FBtHz5clEwvGrVqpg7dy5+/PHHDDMmExMT8fz5c7i4uODMmTMF6gu1FNzaiSh3CmufUhOxn0tEUjk6OioVEHd0dFRdY4iIJCoo/cqlS5dizZo1omtVq1aFhYUFvnz5gg8fPgBIm6A0evRoREdHY/jw4fnaRnklSpRA/fr10ahRIzRu3BibN2/G8+fP1dqmrLRq1QrDhg1Dp06dUL58edFzvr6+WLp0KU6cOAEAiI6OxtChQ/Ho0SONmHCrp6cHKysrlC5dGkWKFEFERAR8fHwQGRkJAEhISMCaNWvw7NkzODo6KrWji6r98ccf+O+//wAAP/zwA65du6bmFmVkY2MjaaWv/PtGHbZt24Y///xTdK1kyZKwsrKCsbExoqKi8P79e4SGhqqphVA4CSUrQ4cOFQLiRYoUwZAhQ1TRrGwdPXoUEydOFHYKAQB9fX3UqlULRkZGCA8Ph5eXF+Li4gAAAQEBsLe3x+bNm9Xy93jDhg1YtGiR6JqJiQlq1KgBHR0dvHv3TliQ9+LFC/To0QPnz59Ho0aN8qwNqh7PVfdnIwPilCUzMzMcP34c/fr1g7+/PwDAxcUFLi4uCvPXrVsXR48ehYGBQX42U2nK/hGn78vZs2dFwXBTU1Ps3bsX7du3z7JchQoVMHz4cAwfPhxPnz7FwoULcevWLVU3l0glAgMDhbPZgLS/787OzihZsqTC/Hp6emjatCmaNm2KuXPn4saNG1me5UZE35fC2qfUROznElFW0vty4eHhuHbtGgICAlC2bNlsywUEBODq1asZ6iAiym8FoV/p5OQkGvCvVasWduzYIQpaPH36FBMmTBBWhE6bNg21a9dG06ZN862d6Xbt2oVGjRqhWrVq0NLSEq7v27cv39uSHS0tLdja2mL27NlZroy0srLC7t27YW5ujq1btwJIC7CsW7cOy5Yty6/mCnR1ddG+fXt069YNNjY2qFevHnR1xaGZ5ORkXL58GQsWLMCbN28AAFeuXMHq1asxb968fG+zIpcuXRJ2aOjWrRt69+6tkQHx7du3F4izzB0cHETBcGtra8yZMwetW7eGjo6OKO+7d+/g4uIi9Mc01devX3H58mUhbWtrC1NT03xvh5+fH6ZPny4Ew/X19bFw4UKMHDlSNFkiJiYGe/fuxZIlSxAXF4fU1FTMnDkTbdq0ydcdX11dXbF48WIhXapUKaxZswa9e/cW3gupqam4fv06pk+fjo8fPyIqKgoDBw7EvXv38nyijyomSGnCZ6N2ntRChVqNGjXg7u6OsWPHwtDQUGEeU1NTzJgxA9evX4eZmVk+t5Ao73z+/BmTJ08W0iVLlsSlS5eyDYbLa9y4Mc6ePYsVK1agWLFied1MIpVzdXVFYmKikF6yZEmmwXB5Wlpa6NixI6pVq6aq5hFRAcQ+JRGR+hUtWhT9+/cHkDbwnj6onZ3Dhw8jOTkZADBgwACNWqlGRN8fTe5XJiQkYMGCBUK6fPnycHV1zbCCr3HjxnB1dUW5cuUAAElJSVluqa1KAwcORPXq1UXBcE3VqFEjODo6St4meOHChaJVwGfPnlVV07I0ceJEnD17FpMmTUKjRo0yBMOBtCMau3fvjkuXLonGU3bs2JFha2F1CA8Px7Rp0wCkBcvWrl2r3gYVcK9evRL9zk+cOBEuLi5o165dhmA4kLaK9n//+x9Onz6dn81U2pEjR5CUlCSkR4wYoZZ27Nu3DzExMUJ6x44dmDBhQoadAwwMDDB58mRs375duBYbG4u9e/fmW1uTkpIwd+5cYZvy4sWL48KFC7CzsxO9F7S0tPDDDz/g4sWLsLCwAAAEBQXh77//zrO27Nq1Cw8fPsSnT5/g7OyM5cuXY+DAgShRokSu6tWUz0YGxEkSIyMjrF27Fm/fvsXx48exbt06LFiwABs3bsTZs2fx5s0bzJs3T+PONCFS1qZNmxAVFSWk165dm+OgnpaWFiZOnIgaNWpILnPnzh388ccfaNu2LapXrw4zMzNUq1YNHTt2xKJFi4QZotmxtbWFsbExjI2NsWLFCuH6pUuXMH78eDRv3hwVK1aEsbExbG1thedXrFghlJO9/urVK/zxxx+wtrZGpUqVYG5ujubNm2POnDn48uWLwjZcunQJo0aNQr169WBmZoZKlSqhc+fO2Lx5s+is6ew8ffoUGzZswLBhw9CsWTNUrFgRpUuXhpWVFVq2bIlJkybh3Llzou1vspLZz+jr64u//vpLmAFoYWGB+vXrY9y4cdmu9B88eLBQpzLbTgLAoUOHhLJlypRBUFCQUuVVRf691rJlyzyru379+sLPnL71ZmJiIk6ePInBgwejQYMGMDc3R/Xq1fHjjz9i27ZtiI6Ollx/WFgYTp06hd9//x3dunVDjRo1YG5uDgsLC9SuXRu9evXC33//rfD8IGXarEh6HmNjY+HohKSkJJw5c0b0s1WpUgWdO3fG6tWrubqKvivsUxIRqZ/stoOHDh2SVEa2/6PuLX2JiADN7VeeOHECvr6+QnrZsmUwNjZWmNfExES0Wtnd3R137txRcQu/L0WKFEHnzp2FtL+/vyhIpomMjY3x+++/C+moqCg8evRIjS1KM3fuXGEMcOHChbC0tFRziwq2KVOmICEhAUDaMZ2y47cF2b///is8trS0RIcOHdTSDtm/pbVq1UKfPn2yzG9nZyc6UuzevXsqa5u8W7du4d27d0J6ypQpqFWrVqb5LSwsRKvJ9+7dK2ylnluqmiClKZ+N3DKdlKKvr48uXbqouxlqYWtrK/zizZ49G3PmzAGQFvQ7efIknjx5gq9fvyIiIgKtW7cWnbsLpG2/cf36ddy5cwceHh7C2R+pqakwNjaGlZUVrK2tYW9vj+rVq0tqU/369eHn5wcA2Lp1K+zt7QEAly9fxqFDh/Ds2TMEBASgaNGiqFixIjp16oSJEyfC3NxcqZ89OTkZFy5cwJUrV/Dw4UMEBgYiPDwc+vr6KFeuHOrWrYt27dqhd+/ekrZACQsLw7Fjx3D16lV4eXnh27dvSE1NRenSpdGoUSP8+OOPGDhwoMLZkqoUGhqKgwcPCuk6depgwIAB+XLv9+/fY/r06bh582aG5759+4Zv377h6dOn2Lx5M37++WcsW7ZMqdfn27dvmDRpEi5duqRUu1JTU7FmzRr8/fffwoqQdG/fvsXbt2/h6OiIM2fOoEmTJgDSZoyOGzcuw73Cw8Px6NEjPHr0CIcOHcKZM2eyfC/6+/vD1tZWOBdMXlhYGMLCwuDt7Y1Dhw6hdu3a2LdvX47OQ3VwcMCCBQsyBOr9/Pzg5+eH48ePY+TIkVi3bp3CWZpjx44Vzie7efMmPnz4gMqVK0u6t+wWZD179tSYFZHp51alS5+lqAr+/v4YPXo0Hj58KLoeFBSEoKAg3L17Fzt27MCuXbuyDcwvW7YMGzduFL5UyAsICEBAQADc3Nywdu1aTJ8+HXPmzFHZTPhPnz7h559/xoMHD0TX4+PjERISgkePHmHnzp04duwYGjdurJI2EGmi77lPWRAkJSXByckJFy9exJMnTxAUFISYmBiUKlUK1atXR+fOnTFixAiYmJhkW5fsl9xz586hbdu2iIuLw8mTJ3HixAm8ffsWgYGBKF68OBo1aoSRI0cqnFz27ds37Nq1C5cuXYKPjw/i4+NRpkwZ2NjYCCttpAgLC8O1a9dw584dvHjxAh8+fEB4eDi0tLRgYmKCatWqoXXr1hgxYoRKzxRMTU3FpUuX4OLigvv37+Pr16+IjIyEiYkJKleujI4dO6q8DfT9atKkCWrXro3Xr1/j7du3uHfvHlq1apVp/rt37wqDdHXq1FGqz5KQkIDbt2/Dzc0NT58+hY+PD0JCQpCYmAhjY2NYWlqiZcuWGDRokPB9QlU8PDxw5swZ3Lx5E1++fEFISAiKFy+OsmXLom3bthg8eLDK20BEeU/T+pWyK5DLli2Lnj17Zpm/V69esLCwEM5kPnPmDFq3bq3SNn5v5McqIyMjNf5oJvnP2rwKduXU1atXhUCntbU1xo4dq9b2FHT37t0TJjloaWlh5cqVam5R3rh7965wdjgA2NvbQ1tbPWtyZRcc1a1bV1KZunXrClt1BwcHq6Rdity4cUOUHjx4cLZl+vbti6lTpyIuLk74/j5u3DgVtTD3NOWzkQFxohxSJsC4b98+/Pnnn5nOQPz69Su+fv2K+/fvY9OmTfjpp5+wcuVKpbehCwkJwaRJk+Dq6iq6HhcXB09PT3h6emL37t34559/0LVrV0l1Xr58GXPmzIGPj0+G5yIjI+Ht7Q1vb2+cOnUKs2fPxu3bt7MM6G/duhWrVq1SuCLy06dP+PTpk3CehIODA5o1ayapnXnhxo0bov+jkSNH5st9Hzx4gCFDhiAkJES4pq+vj5o1a8LIyAihoaF4/fo1kpKSkJycDAcHB7x//x6HDx+WFBRPSEjAoEGD8OTJEwAQBnt1dXUzDTanW7FiBVatWgUgbfZ1zZo1UaRIEbx580boWERERMDOzg7u7u4wNTWFnZ2dcC8LCwtUrlwZKSkpePHihbDK9/Xr1xg2bBguX76caccoIiJC1L6iRYuiSpUqMDY2hp6eHoKDg/H27Vsh8Pn69Wt06dIFV69elTypBADWr18vzKorWrQoateujRIlSuDLly+i2Xn79+9HqVKlRNu7pOvcuTOsrKzg6+uL1NRU7Nu3TzRTLzMvX74UBUpHjx4tud2qJn/2zLVr19C7d+88v090dDT69u0r/I1JXz2dkJAALy8v4T3z6dMn9O/fH6dOnUKLFi0yrc/b21sUDDc3N4elpSUMDQ0RHx8PX19foTOVmJiIVatWITAwEBs2bMjzn+3bt2+YOHGicK6dpaUlKlasiKSkJLx8+VL42YKCgtCvXz/cu3dP6QlLRER57erVq5g1a5boMzBd+qSiW7duYe3atVi6dKnSW+C9efMGo0aNwqtXr0TXExIScP36dVy/fh2DBw/G9u3bhT7C2bNn8euvvyIiIkJUxt/fH8eOHcOJEyewdOlSTJo0Kct7a8qkqSdPnuC3337Ds2fPMjwXGBiIwMBA3L9/Hxs3bsSMGTNEK4SI8oq9vb1wHqmjo2OWAXHZlT7pk7ClcHV1xYQJExAWFqbw+fTJj0+fPsWOHTvQs2dPbN26VfIxPVIFBQVhxowZCrfJTUhIQGhoKF69egUHBwcMGDAAGzduRPHixfO0DUT0fYiNjRUFNjp16pTtuI2uri46deok7MTh4uKC1atXq7KZ351Pnz4Jj7W1tfP8rF1VkD3CDkCutyvOjYiICEydOhVA2rjZpk2bCsT2+ppMdjvuVq1aoWrVqmpsTd6R7TNqaWkp1W/Ma7LHacTFxUkqI5svs9XLqiA7/l2iRAlJZ5cXLVoU1atXh6enJwDg/PnzGhsQ16TPRm6ZTpQD6QHG9GC4iYkJmjdvDmtra+F8A1k+Pj6iQKupqSkaN26Mdu3awdraGhUqVBCeS0lJwb59+2Bvb6/UiszY2FjY2dkJwXBzc3O0atUK1tbWoj/gUVFRGD58eIZBSEW2bNmCwYMHi4Lhenp6qFOnDtq1a4fmzZuLgjfx8fGZnmmTlJSECRMmYO7cuaJgeIUKFWBtbQ1ra2tRXe/evUOvXr0yzJBSpdu3b4vS7dq1U/k9P3/+jKFDhwrBcEtLS+zevRsfP37EjRs34OTkBDc3N/j4+GDq1KlCh/Py5cuSzwfZvXs3njx5ggoVKsDR0RE+Pj64fPkyXFxc8OrVK2zevFlhuZcvX2L16tUoWbIktm7dinfv3uHy5cu4cOEC3rx5gw0bNgirpcPDw7Fu3TrMnTsXT548Qa1ateDk5AQvLy+4uLjg4sWLwgB4usePH+PYsWNZtr1s2bKYMWMGrl69is+fP+Pu3btwcXGBk5MT7ty5A19fX2zatEn4MhMREYGff/5Z0usCpG0F/9dff0FfXx/Lly/Hhw8fcOPGDZw7dw6PHz/GjRs3RJ3STZs2ib5IpdPW1hYFsx0dHTMdbJcluzq8Ro0aaNu2reS2q1rz5s1F6dmzZwsTHfLSqlWr4OPjA0tLSxw9elR4z1y9ehVv377F4sWLhS3uoqKiMGbMmAyr12Xp6OigW7ducHBwgI+PD7y9vXH16lWcPXsWrq6u8PLygru7O3r16iWU2bdvH5ydnfP8Z5sxYwb8/f3RunVr3Lx5Ey9evICzszMuXbqEd+/eYcaMGULe0NBQ0XZARETqsGfPHgwaNEgUDDc1NUXz5s3Rtm1b0WdieHg4fv31V6xZs0Zy/V+/fkWvXr2Efmj16tXRtm1bNGjQQDRB7ujRo8IEtNOnT2P06NGIiIiArq4uGjRogHbt2onakpKSgj///DPDpFB5iiZNNW3aFO3bt0erVq2Ec9iA/5s0NX36dMk/nxQXLlyAra2tKBheokQJNG3aFO3atUPt2rWF/l5sbCyWLFkiDEAS5aXBgwdDT08PQNqKi8wmb0dFRQmBZD09PUkrVtJ9+vRJFAw3MjJCw4YN0bZtW9jY2KBq1aqiAfXz58/D1tY2T89Jffv2LTp16iQKhuvp6aFevXpo164dGjduLJqIfuLECfTo0SPL/iYRUWa8vb1FO89JPXpMNp+/vz9CQ0PzvG3fq9jYWFy+fFlIN2nSJN93pMyJ9CPYgLTAUNOmTdXWlgULFggT/WfNmqXUIhRS7OrVq8Ljjh07qrEleScyMhJnzpwR0h06dEDFihXV1h7Zcc0HDx5kO04bHx8vWrRkY2OjsrbJk42VKDP5RTbv8+fP87RNeUmTPhsZECfKAWUDjFpaWmjdujU2bNiAFy9e4P3797h+/TqcnJzg4uICT09PPHv2TBQsvHLlChwcHCS3acWKFfDw8EC9evVw/vx5eHt7w9XVFS4uLnj37h1WrlwpBC8TEhLw559/Zlnf2bNnMW/ePOFc5lKlSmHNmjV49+4d3N3d4eTkhMuXL8Pb2xvPnj3DX3/9leWH3NKlS3HkyBEhbW9vjydPnsDT0xMuLi5wcXGBt7c3nJychC2vY2Nj8fPPPwurOVVNNthnaGiYo623lTV16lRhC5Y6derAzc0NAwYMyHDGlbGxMRYvXoz169cL1zZu3Jjp+d2yIiMjUa5cOVy8eBG2trYZtvyuUqWKwnJhYWEoVqwYnJycYG9vLwyYAWnv6VGjRokGiQ8cOIC9e/eiZs2acHV1zTChoHjx4li/fr3owyyrs5irVq2K58+fY968eWjatKnCLywGBgb46aefcPHiRRgZGQFI2wrx+vXrWbwi/yc0NBS6uro4deoUJk2alGHLrEaNGuH48ePCIFlSUpLofSxrxIgRQr5v377h/PnzWd47JiYGR48eFdL5tSOBVJ06dRJN1gkICECnTp3Qu3dv7Ny5E56enhm20c+Jb9++wczMDBcuXEC3bt1Eg6IGBgaYOnWq6G+hv78/1q1bl2l9mzdvxtGjRzF48GCULl1aYZ46derg4MGDokkMGzduzPXPIi84OBjdu3fH2bNn0bBhQ9FzxYoVw7x580QrK0+dOpWnA8BERMq4fPkyZsyYIfxtt7a2hrOzszAhLn2y2OPHj9GtWzeh3LJly3Dt2jVJ95g1axa+fv2K7t2748mTJ3j48CHOnTuHW7duwcPDQ9RH2LlzJ27fvo3JkycjNTUV06ZNg4+PD27dugUnJyc8fvwYLi4uoqNG/vzzzywnlKp70tTz588xduxY4W99nTp1cPToUfj6+uLq1atwcnLC3bt38erVK9Fqiv379+PAgQN50gaidGZmZsKuYZGRkQpXTwNpk1KioqIAAN26dcu0f5WZBg0aYMWKFXjy5Ak+ffqEmzdv4ty5c3B2dsbjx4/h5eWF3377Tejrv3jxAkuWLMnFT/Z/IiMjMWTIEGFCq4mJCdauXQtfX1/cvn0bTk5OuH79Oj58+IC//vpL+A7m4eHBnRmIKEe8vLxEaamrPuXzyddDOefg4CDaZUiZiV3q8vbtW6xdu1ZIDxs2TOnP37xy8+ZNYTFHvXr1CsxEzYULF8LGxgYVK1ZEmTJlUKNGDXTs2BF//PFHhgVR+c3X1xffvn0T0unbeX/58gWrVq1C+/btUblyZVhYWKBu3boYMGAAtm/frvGT9U6fPi3shAhA6Z3E8tqYMWOE/mVQUFC2/cvFixcL/y+Ghob5utpaNrCd3u+WQvY9ERoamm8xFGVp0mcjA+JEOaBsgHH27Nm4cOECRo0aBUtLS4V1WllZYcOGDVi4cKFwbcuWLZIDTsHBwWjSpAlcXV3Rpk0b0XM6OjoYP348/vjjD+HazZs3Fa50BdICob/++quQrlixIq5evYqff/5ZCDrKt33KlCl48uQJatSokeH5hw8fioJNGzduxNatWxUGYtu1a4dLly4Jwehv374ptfIoN2Q7I+bm5io/4+T58+e4cuUKgLRVCvv27cv2LM5Ro0YJgebExETRFjtZWbp0qcLdC7Izbdq0DIE8WWPGjBEeJyYmIjU1FevXr890WxktLS3ROUOPHj3K9D1etGhRURA+K9WqVRN1VM6dOyepHABMmTIF1tbWmT5fpUoV0cD43bt3FeYzNTUVnXma3f/NqVOnhC9lxYoVU+s2QooUKVIEDg4OohUzqampuHXrFmbNmoW2bdvC0tISnTt3xuzZs3H27FmFRyFIsWjRIlSqVCnT5+3s7ETbtR84cCDTmZ2yWyJlZ/HixShWrBgA4P79+wgMDJRcVooSJUpg+/btWc4+l/0yGRUVpdEzOomo8IqKisLEiROFYPKQIUNw/vx52NjYZNgOsWrVqjhy5AgGDRoEIO2zYe7cuZLuExISgoEDB+Lw4cMZ+oEVKlTAoUOHhL5mQkIC+vXrh5iYGKxbtw6LFi3K0L+wtrYWTZp6//493N3dM72/OidNpaSk4JdffhG24Wvfvj2uXbuGbt26ZfguUbZsWWzduhW//fabcG3x4sWcNEV5Trb/mdlEVdnryvZXhw0bhlu3bmHixImZTsI1NzfHggULRL/L+/fvz3SbdWUsXLhQ2PGifPnyuHHjBsaOHZthO3QDAwNMmTIFhw4dEr4DHjt2TCW7IxFR4SY/zpbZGKA82cnoiuqhnHn16pVod8XKlStr3GIEIK0/HRERgSdPnmDJkiXo2LGjsHimRYsWattNLioqShgf1tHRwebNmwvE6nogbfebV69eISIiAgkJCQgMDBQd0dKpUydJu6eqwosXL0TpsmXL4tChQ2jZsiWWL18ODw8PhIaGIi4uDp8/f8aVK1cwZ84cNGzYEKdPn1ZLm6WQ3S7dxMQEtra2amxN2ve6VatWCd+1Nm/ejEGDBuHq1asIDQ1FcnIyQkNDcfnyZfTv3x/btm0DkDaWt2/fvgx/l1VJdsw+IiICvr6+2ZZJSEgQndcOQFI5ddCkz0YGxOm7ZGxsLOlf+h9CRZQJMCoToJk6dSrKly8PIG0l5NOnTyWV09bWhoODQ5b3Gj9+vBD8SU1Nxf379xXm27lzpxCo09bWxp49eySdXaGrqyvUL2v9+vXCAOvgwYOz7XyWLFlStBL60KFD+TILTn47PykuXbqE/v37Z/lvwoQJCsseOnRIeNytWzeFkwkUGTp0qPD45s2b2eYvVapUjs9+lt21QJFy5cqJPsRq1KiR7ZYyslvWxMbGZnuOuVSy9T5+/FhyOdkAfWZat24tPM5qNprsdu3pW91nRna79L59++br2TRS2djY4OLFi6hdu7bC52NjY/Ho0SM4ODhg5MiRqFmzJn755Zcsf255JiYmQlAlK+PHjxceBwcH486dO5LvkRkjIyPUqlVLSCvzvpGiX79+2U5yqVatmui4CK4EIKLcykk/98CBA8LEwMqVK2Pjxo0ZgrSytLS0sGbNGuGc39evX0vqk5QsWRJr167N9MzBUqVKwc7OTkgnJCSgXbt2ouC0vB9++EEUaLt3716medU5acrZ2Vn4G29sbIx//vlHYb9Z1ty5c4VZ8cHBwThx4kSu2kAkr2vXrihTpgwACMcRyfLx8RF+p8zNzdGlSxel6lfmd65///7CLhHR0dGSd57IzNevX0XB/G3btmU5ARMAOnfujGHDhglpZXZsIyICkGHsKr2vlB35MShlVgiSYiEhIRg+fLgwGVFHRwfbtm3LsCOjuvTv31/ol5uYmKBixYr44YcfsHbtWkRFRaFUqVKYO3cuzp8/r7bzwxctWiQEoCZNmoTGjRurpR05YWpqKhyN1KxZswznxj9+/BidOnXK9sglVUg/NjPduXPnMGnSJOHvR/ny5dG6dWs0b95c1JcKCQnB6NGjNbJ/4u3tLdpufNCgQaIFNuoyZswYHD16VNjmP30cv3LlyihVqhQqV66MgQMH4urVq9DR0UH37t1x6dIldO7cOV/bKT+Wfvz48WzLnDlzJsPZ6Jq6i4AmfTYyIE6UA7kJMGZHW1tbdC6M1ABN+/btsz3DxcjICPXr1xfSmQVeZP/odunSJcNZwsoIDQ0VdS5kV55nxcbGRhiwiImJwcOHD3PcBqlkP0Skfmj7+/vj6tWrWf7LLHAne12Z82Lq1asnPH727Fm2Z803b948RzM4K1WqJArUZSZ9EC39XtmRr1PK6o+4uDi4urpi1apVmDhxIoYPH44BAwaIJh6sWrVKyC9lK3kgbfcDKRNbZPNktQq6efPmaNCggZCWDXrL8vT0xKNHj4R0VgP96taoUSPcuXMH+/fvR/fu3bMcvI+Li8OxY8fQqlUrbN++XVL97du3l7QTgI2NjehLoOzrl5m3b99i3759mDVrFsaOHYvBgwdnmLAiO/Ar9X0jldQzcaS+v4iIVEV2kt748eMl9YOMjIzQs2dPIS0lIN6/f/9sJx02a9ZMlM5ucp58GW9v72zzS5HXk6ZkX+Nhw4ZlGJRTREdHRzRpTMprTKQMXV1dYevY1NTUDKvEZdODBw9W+aqwnE5wVeTkyZPCWYUNGjRA+/btJZWTnXx869atXLWBiL4/stsFA4C+vr6kcvL5GBDPndjYWAwbNgzv378Xrs2fPz/L3QE1SYkSJTB69GgMHTpUbQF8Nzc37NmzB0DahNnsjt5UNy0tLTRu3Bhr1qzBs2fP8P79e+FopCtXruDdu3e4ceMG+vTpI5SJjY3FmDFj8n2nPvlxn/RFYTVq1ICzszNevnyJCxcu4PLly8IxqLLfz+bOnZvpIjd1kV0dDqh/u3RZnTt3xqlTp7Jdsd6hQweMHz8+00VBqtSlSxfRDmYbN27EmzdvMs0fGBiIRYsWZbgu/xmkKTTps7Fg7HFBlMc6deokKV9mZ2LnNMAIAH5+frh16xZevnyJoKAgREZGIjExUZRHdssWqQGavAq8BAYGirbbkN0COifc3d2Fc8jNzMxEwdzs1KtXT1g9/PTpU/zwww+5akt2jI2NERQUBACi84VUITU1Fa9fvxbSBw4ckHw+pex2mQkJCYiIiMhyZpWU1f2KSAmGA+IPJyll5M/pjomJyTRvdHQ0Vq9ejX/++Uep/xOpQUWpP6Nsm7NqL5C2SnzKlCkA0ga/58+fnyGwIBsor1u3ruTfX3XR1tZGnz590KdPH8THx+PJkyd4/PgxPD098fjx4wwrwpOSkjBnzhxoa2uLVnYrUqdOHUlt0NLSQu3atYUZp1mtQr979y7mz58vKWguK6+D0ap4fxERZUfZfm5YWJio75nTSXpSdjXKycQ5KWUsLCyEx1K3WX779i3u3LmDV69eITg4GFFRUUhKShLlyatJU6mpqaIjV1T5GhMpa/jw4di8eTMA4PDhw0IfLjk5GUeOHBHly41v377h+vXrePHiBQICAhAZGZnhCBzZwEVuJyrmxeTjgIAABAQEoGzZsrlqCxF9P+TH96SOHcrnk6+HpEtISMCIESNEuwaNGzcO06ZNU1+jFJBdbZ2cnIzw8HC8ffsWUVFRiIyMxJo1a7Bx40bMmDEDs2bNynSHJVWIiYnBr7/+KizA2bhxo+QAlrpUrFgR169fzzJPo0aNsH//fjg4OGD27NkA0n7W2bNnw8XFJT+aCQAZVvUCae13dXWFqamp6HrRokUxfvx4VKpUCUOGDAGQNub2119/4cKFC/nS3uwkJiaK+oyNGzdWavxflaKiorBgwQIcOHBA+K5XpEgR1KpVCyYmJoiMjISXlxdiYmKEhW02NjbYuXOn5G2984KBgQFmzpwpvC+joqLQo0cPrF27Fr169RId63rjxg1Mnz5dYV9ZUz87NOmzkQFx+i6dPHkyV+VzEmB89eoV5s6dixs3bmS7oldWfgf25FfV5HY7nJcvXwqP4+Pj0b9/f8llZQdnZc/3VhVTU1MhIC51MHXMmDGic7TTTZw4EYcPH860XHh4uGjQ1cPDQ7nGysguIJ7TrZWknt+d2zKZ/T4EBwejT58+Gc7WkSKz86XlqWKm7YABAzB//nyEh4cjJCQETk5OGDhwoPB8dHS0aBcGTV4drkjRokVhbW0tmlnt5+eHI0eOYOvWraLfnQULFqBnz57CMRCKyHf2syK7/Xhmv6P79u3D9OnTlfo7my59FVFeycn7KyftJiKSpWw/99WrV8LkRQCYPXt2ltulywoICBAeS+mrSemvyg+2KVsmu4lF6pg09fnzZ4SGhgrptWvXYseOHZLKypbLj/4wfX9q1qyJZs2a4dGjR/D398etW7fQoUMHXLlyRfgdb968ueTjneR9+vQJCxYswPnz5zNMOslKbicqyn4PdXV1zdF3CiDt944BcSKSSn4BQFxcXIZrisgHyKSUoYwSExMxcuRIXLlyRbg2cuRI0Y6CmmLevHkZrqWkpODmzZtYtmwZHj16hMTERKxYsQKhoaGis9BVbdGiRcLE0J9++gnt2rXLt3vnh/Hjx8PT01NY1Xz37l08ffo037aEV/T7vWzZsizHx7p3744+ffrg7NmzANIm/r1//150dJS6uLq6CuPpQNp7RhNERkaiT58+ePLkCYC0133evHkYOXIkihcvLuRLTEzEiRMnMG/ePAQHB8Pd3R0//vgjrly5IjnekhfGjx+Px48f49ixYwDS+qAjR46EqakpatasCW1tbbx79w7//fcfgLRg8bhx40Q7dErdijy/adJnIwPiRDmgbIDx4sWL+Omnn3IUbJFaJq8CL7KDbkDaqu7ckD0XJSIiAlevXs1RPapesQ2kbRGePiEgICAAYWFhKjvXOS9XgcoOYisiO4usIJkyZYpo4KpNmzYYMGAAGjVqhPLly8PQ0BDFihUTZsm6ubmhV69e6mquwMDAAEOHDhUGuvfu3SsKiJ88eVJ4PxcvXlzS+dmarkKFCpg5cybs7e3Rp08fYZeJ+Ph4HDx4EH/88UemZZX52yW70l7RpAcPDw/89ttvwt82ExMT2Nvbo3379qhatSrMzMxQrFgx0cQNW1vbPDmPnIiooJI/w+7GjRs5qkdKXy0nE+eU7eNmNbFIXZOm5F/jrM45z0p+9Ifp+zR8+HBhkoijoyM6dOgg2voyp6vDnzx5Ajs7uxwFt3M7UVH2987b2zvHxynw946IlCF73i+QtsOflAF82Z0AFdVD2UtKSsLYsWNFK32HDx+ODRs25Ovq6tzQ1tZGx44d0a5dO/z88884ffo0AGDHjh2wtbVF27ZtVd4GLy8v7Nq1C0DaLkx//fWXyu+pDjNmzBD1da5cuZJvAXH5uIKRkRF69OiRbbmhQ4cKAXEAuH37tkYExGVfRwMDA6UWw6nSvHnzhGB4kSJFcOrUKbRq1SpDPj09PQwdOhTNmzdH586dERYWBj8/P/z+++8ZtoJXNQcHB1SuXBnr168Xxj1DQkJEu40BafGaTZs2ISEhoUAExDXps7FgRkmI1EyZAOOXL18wZswY4Qu9gYEBxowZg3///RcPHjzAx48fERgYiLCwMOGf7Lll+U1+4EHqWdqZyavAb3ZB37xgY2MjPE5NTc31uXVZkf+AOnjwoOg9oMy/9LPWC5NXr16Jtv5JX1UyatQoNGrUCGZmZtDX1xd9qdGkM7bGjh0rtM3d3V107ovsdulSzlItSMqVK4d169aJrsl32uRFRkZKrl82r6LXbe3atcLfiooVK8Ld3R1Lly5Fly5dUKVKFZQoUSJDMEaT3jdEROpQkPpquaFo0tT//vc/HD9+HE+ePIGfnx+CgoJEfazWrVvnyb3z6jXmLiKkKv369RN2Wjh//jzev38PV1dXAGnfX+3s7JSuMzo6GiNGjBCC4Xp6ehg0aBD++ecfuLu7w9fXF1+/fhX9zqVvE5kXvpe/bUSkWUqVKiVKp6/ky458Pvl6KGvJyckYN24cnJychGvDhg3Dpk2bCkwwXJaOjg42btwo2iUvPUitakFBQUKf87///oOVlRWMjY0z/Td58mRR+YYNGwrP1a9fP1/anBNWVlaoUKGCkJY9PlTV5H+/GzRoIGmHrkaNGonSHz58yMtm5UhAQIBoR4bevXtrxDhnQEAAHB0dhfTIkSMVBsNlVatWDb/99puQvnDhgugIrfygpaWFOXPm4OnTp5g9ezasra1RpkwZFClSBKVKlUKzZs2wePFi3L9/Hz/++GOGHcQyO/5X3TTps5ErxIlUbNu2bYiOjgaQFsC5dOkSatWqlWUZdQZo5FdER0RE5Gr2jWzgt27duhq9ElN+C6CTJ09KPodTWcWLF4ehoaHwfy27tQxBtJNAxYoVMX369GzLfP78WZVNUkr16tXRrl073Lx5E0DaKvEVK1bg+fPnwuxEAAq32y/o2rRpI3pvZ9fJ+fjxo+S6ZTuiZcqUET2XmpqKa9euCelZs2ZJ2t4yt+dTEhEVdPKT9Hx9fVW2Q446yU+aunjxYrafE3nVJ5d/jW/evImGDRvmSd1EecHIyAi9evXCsWPHEBsbi5EjRwpn9PXq1StHA5uOjo5C/1xPTw+nT59GmzZtsiyTl9+DS5YsieDgYABp25DKD9gTEamC/PESfn5+qFu3brbl/Pz8sqyHMpecnIxffvlFWE0NpK2k3bJlS4HdMRFI+2zu0qWLsH3ygwcP1NyiwsfCwkL43UvvM+QH+biA7MSHrMgHA+V3eVWHw4cPIzk5WUiPGDFCja35P7du3RId1dOzZ09J5WxtbbFgwQIAaeOMt2/fztHRublVvnx5zJkzB3PmzMky3+vXr0VlNPWYH036bCy4nwpEBYRsYG/ChAnZBsMB9Qb25M/GyO0MOdmglaYHfZs0aSKavXj69GkEBgaq7H4tWrQQHrNjK/bp0yfhcePGjSXN6M3p9qOqMnbsWOHxkSNHEBcXJ1od3qhRowyzOwsDLS0t0Vk82c1ylboTQ3BwsCggLh9ICA0NFQ2iNm3aNNs6fXx8NP7vEhGRqsn3/VTZ91EXdU+akn+N+dlDmsje3l547OnpqfC6MmS/B/fv3z/bYDiQt9+DZX/v+DtHRPlFfszPw8NDUjnZfEWKFNGIbZALguTkZEyYMAEnT54Urg0ZMgRbt24t0MHwdJaWlsLj/ArY6unpwdTUVPI/+UVUxsbGwnNSA73qIrubTLFixfLtvpUrVxZ25gEUHwmoiPx5yvnZ5szIrsKuWrVqnu2wlVvyfcry5ctLKif7Owdo/nfjhw8fCo+bN2+uxpZkTZM+Gwv+JwORhpOdySIlQBMVFSU6Nzm/1alTR3SWye3bt3NVX8uWLYXHgYGB+b7ViLJkt0aJjY3FlClTVHavzp07C48vXLigETP7NIXsLD4pQkJCRFusa4IePXqgXLlyANKCtY6Ojjh+/LjwfGFcHQ6k/ayyg47ZBRweP34saZun48ePi7aKle9kp69iUsbBgweVLkNEVNjUrVtXNJGpME7SU/ekKVNTU1SrVk1IF8bXmAq+du3aZdhmsVKlSjk+r1TZ78Gpqal5+rvBycdEpA6Wlpai1YRSd0mUzdeqVStJ2yd/71JSUjBx4kTROMvgwYOxbdu2QhEMB9J27UyXXzs4tWrVCu/fv5f8b+XKlaLyN2/eFJ67detWvrQ5J+Lj40VjUfITWFVJW1tbNKYldaxcPl9+tlmRO3fu4N27d0J6+PDhamyNWJEiRURp+bOoMyOfT3bigqZ59+6dKGA8ePBgNbYma5r02Vg4Ph2INJiyQZqjR49KnhmmCrq6uqKtwx0dHTOcK66MJk2awNTUVEhregCqT58+om3SXV1dMXv2bJWcHTdixAhhtmRkZCRmzJiR5/coqCwsLITHDx8+zDZAPmfOHMmdm/yiq6uLkSNHCul58+YJZ2AbGRmhf//+6mqaJLdv387RBJYdO3aIfl86dOiQbZlFixZl+Xx4eDjWr18vpNu0aYPKlSuL8pQqVUrU4XV3d8+yTi8vLzg4OGTbNiKiwk5PTw/t27cX0preV8sJTZg0JTsR8vDhwzlqE5EqaWlpYdiwYaJrw4YNy/HZq8q+x69cuZKnR9nI/s7du3cvX88GJaLvm+zWvLdv386w5as8Pz8/0aB/7969Vda2wiIlJQWTJ08WthMHgEGDBmH79u2FJhgOiINB8mMglDvnzp0TrRDP7nzpvCb7e/7mzRvRTpmZkd3xChBP/lOHf//9V3iso6ODoUOHqrE1YvKLc2SPr8yK/C6W6QudNNHatWuFx5aWlujatasaW5M9TflsLDyfEEQaSjawl12AJjAwEMuXL1d1k7I1ceJE4fGXL1/w119/5bguXV1dTJo0SUhv375d8rYY6qCtrY3du3ejUqVKwjUHBwf06dNH8tbOnp6ekn7GEiVKCOeSAGlnlo8dOxZhYWHZln3y5AnGjx8vmglbmMhOyvjy5QuWLl2qMF9SUhLmzZuHo0eP5lfTlDJy5Ejo6ekBEM8yHDRokGg1nia6ceMGmjVrhgkTJuDOnTui1dmKJCcnY/PmzVi9erVwrUSJEhg4cGC29zp79iyWLl2q8B5hYWEYNmwYvn79KlybOXNmhny6urqwtrYW0qtWrco0oP/y5Uv0798/w3ZTRETfK9kdce7fv49//vlHja3Je5owaWrixIlCn8DPzw/Lli3L0/qJ8sLs2bPx7ds34d+sWbNyXJcy34NjYmLw559/5vheivTo0QPVq1cHkBY4mTJlCieiEFG+sLe3F4KyKSkpou/IiqxatUqYVF6iRAnY2dmpvI0FWWpqKqZNm4bDhw8L1wYNGoQdO3YUqmD4sWPHROcD//jjj2psTeESGBgoWphRvHhx0US6/NCnTx9hkVRqaqoouKlIeHi46PuJubm5WgPiEREROHv2rJDu0qWLqO+nbm3atBFN6nRwcMi2H5iamorNmzcLaW1tbUlH/qiDs7Oz6G/g4sWLNX5nEU35bCw8nxJEGko2sLd79248ffpUYT4/Pz/07ds3386EyUqbNm3QvXt3Ib1161YsWLAgy5XiCQkJOHDgAD5+/JjhufHjx6Nq1aoA0gY77OzscPHixWzbERYWhj179uT7lwETExOcO3cODRo0EK65ubmhU6dO6NChAxYsWIBjx47hypUruHfvHq5fv45jx45h6dKl+OGHH9CuXTu8evVKKGtkZJTpvUaPHo3Ro0cL6ZMnT6JevXr49ddfcfjwYdy8eRPu7u5wdXXF7t27MWXKFNSvXx8//PCD2ncTUCVra2vR1oobNmxAz5494ejoiDt37uDq1avYuHEjbGxssGXLFgCauQW5hYUFbG1tM1yX/T/XZElJSThy5AhsbW1Rv359/PLLL3BwcMCFCxfg7u4ONzc3nDp1CgsXLkSzZs0wf/580erwZcuWZdsh7tevH7S0tLBmzRp07twZ//zzD27duoUrV65g5cqVsLa2Fs0IHDlypGglo6z//e9/wuOvX7+iffv2WLx4MS5fvgx3d3ecOnUKEyZMQPv27fH582c0aNBA0haeRESFXatWrUQ7l8ycORMbNmzIdoeWxMREODs7o2fPnpJWNaiLJkyaqlSpkuhzasOGDfjzzz+z3eEmJSUFt27dwtChQyVvLUeUU1paWtDV1RX+5XR1OCD+Hnz27Fm4uroqzBcSEoLBgwfn+QpubW1tLF++XPgZ7t69i/79+yMgICDbsl5eXpg5cyY2bdqUp20iou9D7dq1MWjQICF94MABHDhwQGHevXv3inalmTx5MkqVKqXyNspbvXo1zM3NM/yTndDk7u6uMI8qjxpU5MyZM6LXU0tLC4GBgRg4cCD69+8v6V9+H1X54MED/P7773j//n22eVNTU7F//378+uuvwrXSpUsXmHEkdXjw4AGmT58uqS/x8uVL9O7dG/7+/sK1yZMni3Y3zQ8lS5YUTTzcv39/phNyo6OjMWbMGNFOOtOnTxcm26rDqVOnRCvsR4wYoba2KGJubo5u3boJ6VevXmHcuHGiNstKSkrCrFmzcOPGDeFar1698vXvcfoYbFZj/ampqThw4ABGjx4tLCqytbXV+F1IAc35bNTNk1qIKFMTJ07EoUOHkJycjOjoaPz4448YMWIEOnbsCBMTEwQFBeHWrVs4dOgQYmJiYGlpiTp16uDSpUtqbfeOHTvQsWNH4TyVTZs24dSpUxg4cCCaNm0KU1NTxMXF4ePHj3jw4AFcXFwQFham8HyYEiVK4NChQ+jWrRvCwsKEQY8mTZqgR48eqFu3LoyNjREfH4+QkBC8fv0ajx49wu3bt5GYmIgKFSrk94+PihUr4uLFi5g3bx4OHDggzCJ79uwZnj17JqkOAwMDTJo0CdOmTcsy37p161C+fHksX74cKSkpiIqKwsGDBwvllqXK2LVrF7p27Ypv374BSNtORdGZ9lpaWpg9ezZat26tkSvaxo4dizNnzgjpli1bom7duuprkETyM6v9/f1x7Ngx0ZZkmTE0NMSKFSskdYg7deqEunXrYsmSJXj8+HGWOzHY2tpmOWu2S5cumDx5MrZu3Qrg/7Zal91uPZ2VlRUOHjwo2sGCiOh7tnnzZvj4+MDDwwPJyclYtGgRdu/ejX79+qFp06YoVaoUUlNTER4ejnfv3uHp06e4du2acLZhdjuJqNv//vc/3Lx5E8D/TZoaM2YMbGxsULx4cfz333+4dOkSTpw4gaSkJDRo0AB6enqSdwiSYv78+Xj58qXQz9+2bRuOHj2K/v37o0WLFihTpgx0dHQQHh4OX19feHh44Pr16wgMDAQAfmZRgTJq1Chs3LgRUVFRSElJwbBhwzB48GB0794dZcqUQVhYGO7evYt///0XISEhMDIyQteuXXHixIk8a0OXLl2wYMECLF68GABw69YtNGrUCL169UK7du1gaWkJfX19REZGIiAgAJ6enrh16xbevHkDIG3FPBFRTixZsgR3794VFo1MmTIFLi4u6N+/PywsLBAQEIATJ06IFos0adIk34PL6ZKSkrI9LjE1NVVhnvzefUM+oJWamioKYkmR3ThdXouPj8eePXuwZ88e1K9fH23atEHdunVhYWEBQ0NDxMfHIzAwEJ6enjh37pzobOsiRYpg27Zt+XaGeEEUHx+PvXv3Yu/evahXrx7atWuHunXrwtzcHIaGhoiOjsb79+9x9epVXLp0SbSQo2PHjmo7wnLcuHG4cuUKrl69CiCt33H+/HkMHDgQlStXRkJCAp4+fYq9e/fi8+fPQrkuXbrgl19+UUub08lul16mTBlR8FlTLF26FHfv3kV4eDiAtMk0Dx48wLBhw9C0aVMYGxsjKioKHh4eOHz4sOg8dFNTU6H/mF+SkpIwYcIEzJ49G127dkXz5s1RtWpV6OvrIyQkBK9evcKZM2dEi/Csra2xY8eOPG3H6tWrsWbNmgzXZQP16ROk5A0ePDjLCaWa8NnIgDiRitWpUwfLli3DH3/8AQCIi4vDrl27sGvXrgx5S5cujX///VcjzrU1NjbGpUuXYG9vjwcPHgBIC4gpCixJUbNmTVy7dg329vbClj9PnjyRfIaHOujr62Pt2rWYNm0atm7diosXL4o6pYoUK1YMzZo1w6BBg9CnTx+ULFky2/toaWlhxowZ6NmzJ9atW4fz589nOmMNSPu/ad++Pfr37y9ayV/YVKlSBdevX8fvv/+e6QSROnXqYPHixejSpQvc3NzyuYXS1KtXD9ra2kKHe9SoUeptkER//PEHOnToABcXF9y6dQsvXrxAcnJylmXKlSsHOzs7TJ48Walzdn7//XfUrFkTCxYsUDhj2tTUFLNmzcIvv/yS7RZoy5YtQ5UqVfD3338jKCgow/PFixfHwIED8ddff2W5ewMR0ffGwMAAFy5cwKRJk+Dk5AQgre9XWFZIasKkKW1tbTg6OuLPP/8UvgsEBwdj586d2LlzZ57ei0jdzMzMsG3bNowZMwZJSUlISUnB4cOHRds7pitevDj27NmDR48e5Xk7pk+fDjMzM8yYMQNxcXGIj4/HiRMn8jTwTkQkz8zMDMePH0e/fv2ElaguLi5wcXFRmL9u3bo4evQoDAwM8rOZpAaenp7w9PSUlLdcuXLYsmULfvjhBxW3qvB48eKF5B0Ahg4dijVr1oiOVspPurq62L9/P4YOHSqMabq5uWU5vtm9e3fs2rVLrccDpC9kSzd06FDo6mpemLFatWo4ceIERowYgf/++w9A2rGcioK9ssqVK4d///0XVlZW+dDKjMLDw3H8+PFsj0nt06cPtm7dCkNDwzy9vyonSGnCZ6PmvVOJCqEJEyagbNmymD9/vsLtJIsUKYIePXpg5cqVCmfXqIuZmRlcXFzg6OiITZs2wcfHJ9O8lpaWwgy2zFSpUgU3b96Eo6Mjtm/fLsy8V0RLSwv16tXDjz/+iCFDhuTq58itChUq4O+//8bff/8NPz8/eHp6Ijg4GKGhoUhOToaRkRGMjY1RvXp11KlTJ8edgFq1amHnzp1ISEjAo0eP8P79e4SEhCAxMRHFixdH2bJlUaNGDdSsWTPbjs+FCxdy1IY5c+Zgzpw5SpXJyb2knJMOpL32x44dw8ePH+Hu7o6vX79CR0cHFhYWqF+/PmrVqiXkbdu2raR6c/IzSq1bkaNHjwrBcBMTkwJzHpi2tjZsbGxgY2MDIG2LJm9vb7x//x5BQUGIjo6Grq4uDA0NYW5ujrp166Jy5co53lqzZ8+e6NmzJx49egQvLy8EBQXB0NAQ1atXR5s2bZT6vRo7diyGDx+Oe/fu4fXr14iOjoapqSnKly+PNm3aiDpSUt+/Ur+w5uR9ktPfVyKivGZoaIgDBw7gypUr2LBhA+7evZvlZKiKFSuiS5cuGDhwICpVqpSPLc0ZTZg0paenh9WrV2PQoEFYu3Ytrl27luW2eObm5ujYsSMGDhwofCYTFRS9e/fGmTNnMGvWLNFqlnQ6Ojpo3749Vq1ahWrVqqkkIA4Aw4cPR/v27bFp0yYcPXpU2NlCEUNDQ7Ru3Rp9+/ZF7969VdIeIvo+1KhRA+7u7li8eDGOHj2KqKioDHlMTU0xZswYzJo1S21BOSBn4yTqYm9vD3t7e3U3Qym1atXC9OnTce3aNUmLDWrWrIkhQ4bg559/RokSJfKplTmjCf8fFStWhJ2dnTBumBVdXV106dJFOE5P3QwNDeHk5ITdu3djy5YtCo8iBYCqVavit99+w7Bhw3J1pE1eqF27do7HSPNb8+bNcffuXWzYsAGOjo7CLqSKmJmZYfjw4Zg6dapadmTQ1dVFt27d4ObmlulCOW1tbbRq1Qq//fZbvp97n1fU/dmoFRYWptl72xEVIsnJyXj48CE8PT0RHh4OY2NjlC1bFq1bty4QW998+PABjx8/RlBQEKKiomBgYABLS0vUrVsX1apVU7o+f39/PHr0CEFBQQgPD0fRokVRsmRJVKlSBXXr1oWJiYkKfgqi/JOamopWrVrB29sbQNqZJ8uWLVNzq9Svfv368PPzAwBs3bpV7V+eiIhIsfDwcNy/fx9fvnxBSEgItLS0YGRkhIoVK6JmzZqoWLGiupuYI/Hx8ZImTeWHmJgYPHjwAJ8+fUJISAhSUlJgaGgIS0tL1KxZE1WrVs3X9hCpQmpqKjw8PPD06VOEhITA0NAQFhYWaNWqVb5PCE9OToaHhwe8vLwQEhKCuLg4GBgYwNzcHNWrV0ft2rXVeiYnERVOsbGxuH37Nvz8/BAWFoZSpUrBysoKrVu31siVlaQ6MTExePXqFT58+IDAwEDExMSgSJEiMDIyQvny5dGgQQNYWFiou5kFVkBAALy9veHn54fQ0FDExcVBX18fxsbGqFq1Kho3bgx9fX11NzNTT58+hZeXFwIDA6GtrY3SpUujadOmqFGjhrqbVuAlJyfj9evX8PT0REhICGJiYmBgYIDSpUujXr16qFWrFnR0dNTdTCQmJuLly5f4+PGjEDMxNjaGhYUFWrRoATMzM3U3Mc+o47ORAXEiIiIVcXJywk8//QQgbRbfkydP1LbljiZhQJyIiIiIiIiIiIiI8ov6DhsgIiIqxN6+fSvacqx///4MhhMRERERERERERER5TPuyUJERJQHgoKCMHXqVABAYGAgnj17hqSkJABpZ5LOnTtXnc0jIiIiIiIiIiIiIvouMSBORESUB2JiYuDs7Jzhura2NjZs2MDV4UREREREREREREREasCAOBERUR7T1taGqakpWrZsiSlTpqBly5bqbhIRERERERERERER0XdJKywsLFXdjSAiIiIiIiIiIiIiIiIiIspr2upuABERERERERERERERERERkSowIE5ERERERERERERERERERIUSA+JERERERERERERERERERFQoMSBORERERERERERERERERESFEgPiRERERERERERERERERERUKDEgTkREREREREREREREREREhRID4kREREREREREREREREREVCjpqrsBRER5IT4+Hi9evMD79+8RGBiImJgYFC1aFCVLloSxsTFq166NatWqQVub84BIddzc3NCrVy8hvXXrVtjb26uxRURERERERERERERE3zcGxImowEpISMDJkydx/Phx3L59GwkJCVnmNzAwQLNmzWBnZ4devXqhdOnS+dRSIiIiIqKc4cRP1bC1tcWdO3cAABUqVICnp6eaW0RERERERESqwoA4ERVIJ06cwMKFC/H582fJZWJiYnDr1i3cunULs2bNwvDhwzFjxgyUL19ehS0lIiIiIlIOJ34SERERUW58/PgRDRs2VOk9Zs+ejTlz5qj0HkREeYUBcSIqUOLi4vDrr7/i+PHjCp+3srJCuXLlUKpUKejp6SEwMBCBgYHw8fFBSkqKkC8xMRF79+7FoUOH8PXr1/xqPhERERFRljjxk4iIiIiIiChvMSBORAVGQkICBg0ahFu3bomuV6pUCVOmTEHXrl1RoUIFhWVDQkJw7do1ODk54fz580JwPD4+XuXtJiIiIiLKDid+EhEREREREakGA+JEVGDMnTtXFAzX0tLCvHnzMGXKFOjp6WVZ1tTUFAMGDMCAAQPg7e2N1atX48SJE6puMhERERFRtjjxk4iIiIjyUvny5eHh4SEp79ixY/Ho0SMhvWfPHjRr1izbciVLlsxx+4iI8hsD4kRUIJw9exa7du0S0tra2ti5cycGDBigdF01a9bE7t270adPH0yZMiUvm0lEREREpDRO/CQiIiKivKSrq4tKlSpJylu0aFFRukyZMpLLEhEVFNrqbgARUXaSk5OxYMEC0bXJkyfnKBguq1evXnBzc8tVHUREREREuaFo4ueuXbvw+++/ZxsMl5c+8fPgwYMwMTHJ66YSERERERERFUhcIU5EGs/JyQkfP34U0hUqVMDcuXPzpG5LS0ulyyQkJODBgwf49OkTvn37Bi0tLZiZmaFu3bqoX79+rtuUmJiI+/fvw9fXF8HBwdDR0YGZmRlq166NBg0a5Lr+mJgY3L59G35+foiIiIC5uTmsrKzQsmVL6Ojo5Lp+RT58+IDnz5/j69eviIyMhJmZGYYOHZrpIG98fDxev36Nt2/fIjAwEDExMTA0NESpUqVQv3591KpVC1paWnnaxpcvX8LLywtfvnyBrq4uypUrh7Zt28LU1DTP7pGYmAh3d3d8/PgR3759Q8mSJVGlShVYW1ujWLFieXYfIiIiKhhUOfGzcePGuaqDiIiIiIiIqLBgQJyINN7OnTtF6ZEjR6olePj27VusXLkSrq6uiIqKUpinXLlymDRpEn755RcUKVJEqfoDAgKwYsUKnDlzBhEREQrzlC1bFqNGjcKvv/4KAwMDpeoPCwvDkiVLcOTIEURHRyts+88//4ypU6dCR0cHEydOxOHDh0XlM2Nra4s7d+4ASJuw4OnpCQBwcXHB2rVrRecQpevduzeMjY2FdFBQEE6fPo0LFy7gwYMHiI2NzfR+pUuXxs8//4wJEyaI6shKZm08deoUNmzYgOfPn2coo6enhx49emD58uUoX768pPsokpCQgFWrVmHfvn349u1bhueLFy+OiRMn4vfff4e+vr7COt69e4emTZsKaTs7O+zdu1epdgQHB6N27dpISEgAALRr1w5OTk5K1UFERER553ub+CnL19cXHh4e8Pf3R0pKCszMzNCqVStYWVnlqt7IyEi4ubnB398fsbGxsLCwQLVq1UT9qLzy6dMnPH36FEFBQQgPD4eJiQnKlSsHa2vrPD1TMz4+Hvfu3YO/vz8CAwOhp6eHNm3aoFGjRnl2DyIiIqKcCgwMxIMHDxAYGIjQ0FAYGRnB3NwcNjY2KF26dJ7dJyUlBQ8ePMD79+/x9etXFC9eHBUrVkTr1q1RokSJPLtPfoiKisK9e/fw5csXfPv2Dfr6+ujSpQuqVauWZbn8eq2JCiMGxIlIo0VHR+Phw4eia8OGDcvXNqSmpmL58uVYv349kpKSssz75csXzJs3D46Ojjh+/LjkgcgzZ85g0qRJiImJyTJfetD84MGDOHLkCOrVqyep/tevX8POzg7//fdflm3/66+/cPPmTRw4cEBSvZlJTU3FnDlzsGPHDsllOnbsCH9/f0l5v337hr///huOjo44dOhQjgdoZ8yYgd27d2f6fGJiIs6ePYtr167hwIED6Nixo9L3+Pz5M4YPH46nT59mmic6Ohpr1qzBnTt3cOzYMYWd+KpVq6Jt27bCNv8XLlxASEiIUivYDx8+LATDAeCnn35S4ichIiKivFaYJ35mNhnx0aNH+Ouvv+Dm5obU1NQM5Zo1a4bly5ejRYsWSv0MoaGhWLhwIY4fP65wYmXVqlUxadIkjBkzJlc7DSUlJeHAgQPYuXMnvLy8FObR1dVFp06dMH/+fEn9dTc3N/Tq1UtIb926Ffb29sKE1hMnTiA8PFxUZsKECQyIExERkdqkpqbi9OnT2Lx5M549e6awX6etrY2WLVti/vz5sLGxybbOjx8/omHDhkJ69uzZmDNnDlJTU7Ft2zZs375d4dihnp4eRo4ciblz50o6Nkh2cc3QoUOxffv2bMsAmffZFHF0dMTkyZOF9Llz59C2bVt8+fIFixYtwvnz5zOMA6empioMiKvitSb6HvEMcSLSaI8ePRIFoa2srFCuXLl8u39qaiomTJiA1atXi9qhr6+PVq1aoW/fvujbty8aNGggGlh7/fo1unXrhq9fv2Z7j0OHDmHMmDEZOkENGjRAnz590KNHD1SuXFn0nL+/P3r06JFlkDWdr68vevfunSEYbmlpiW7duqFfv35o1aoVdHXT5kjdvHkTv/76a7b1ZmXjxo2iYHjt2rVha2uLvn37olmzZgq3Zk9JScnQvg4dOqBv374YOHAgOnfujLJly4ry+Pn5oU+fPvjy5YvSbVyzZo0oGF67dm306tULPXv2RM2aNUV5IyMjYW9vj/v37yt1j5iYGAwePFj4fzIyMkKHDh0wYMAAdOvWDaVKlRLlv3v3Lv78889M6xs1apTwOCEhAUeOHFGqPf/++6/w2MTERNSJJyIiovylKRM/ly1bBmtra5w4cSLTYDjwfxM/27dvL3kSozwHBwf8+OOPuHXrlsKBPCCt/29ra4vTp09LrtfT0xMtW7bEgQMHMt1l6N27d/j9999hb28vmiCojLdv38LGxga//fZbpsFwIC1ofvHiRbRr1w6bN2/O0b2eP3+Otm3bYs+ePRmC4URERETq9PXrV3Tr1g1jxozB06dPM+3XpaSk4O7du+jRo4cQ2FZWeHg4BgwYgLlz52baB01MTMTu3bvRvXt3BAQEKH2P/HLjxg20adMGx44dy3ZRVLr8fK2JCjuuECcijSY/SJjfqyA2bNiAo0ePCmljY2MsWLAAw4YNy7B6x9fXF3PmzIGLiwuAtJXBEydOxMmTJzNdhfLmzRv8/vvvomBwhw4dsHbtWlStWlWU9/bt25g2bRp8fHwAABERERg7dizc3NxQvHhxhfWnpqZi8uTJCAoKEq5VqFAB69evR+fOnUV5Q0JCsGTJEuzduxdOTk45Pjs7KCgIS5YsAQB07twZy5cvR40aNUR5vnz5AkNDQ9E1bW1tdO7cGf369UPXrl0z3ebnwYMHWLhwIe7evSu0e9q0aTh27JjkNoaEhGDlypUAgIYNG2LTpk2iGagA8PjxY/z666949eoVgLTg9oQJE+Du7p7ptubyVqxYgZCQEJiYmOCvv/7C0KFDhYkHQNpg6ebNm/HXX38JHdWDBw9i8uTJqFWrVob6evXqhdKlSwvbrv/777+YNGmSpLbcv39fNHA7ePBgFC1aVFJZIiIiynuaMvFTtq8LpE38bNiwISwsLAAA79+/h6enp9BXSZ/4ee3aNZibm0u+39GjRzF79mwhXadOHVSuXBlFixbFhw8fRKtdEhMTMWnSJDRo0CBDn1iej48P7OzsMhxLU7lyZdSuXRtFihTB+/fvheNxnJ2dMXPmTMntTvf48WMMGDAAoaGhouuVKlVCrVq1YGRkhNDQUDx+/FjIk5KSgvnz5yMuLk6pe4aEhGDYsGHCoG+JEiXQpEkTlC5dGmFhYUL/lIiIiCi/ffjwAb1794afn5/ouoWFBerXrw9jY2NERETAw8NDtDhn+/btiIqKUmqyYHJyMsaMGYOrV68CSOunNm3aFObm5oiNjcWzZ89Ei2S8vb0xceJEnDlzJnc/pAq8f/8e8+fPF47JNDU1RePGjWFiYoJv374pPMoxP19rou8BA+JEpNHkV1hnNyCWl16/fo1ly5YJ6fLly8PZ2RmVKlVSmN/KygqHDh3C//73Pzg6OgIArl27hkuXLqFbt24Ky8ycOVO0iqVnz57Yv3+/whXUbdq0wcWLF9G9e3e8ffsWQFpnat26dZg/f77C+s+ePStsVQmkrbp2dXVVeB62qakp1q9fD3Nzc/z9998ICQlRWGd24uLiAAADBw6Eg4MDtLUzbkaiaLDX2dkZFStWzLb+Fi1a4Pz58xg5ciTOnz8PALh06RK8vb0zrOzOTPoZ6k2bNoWTk5PCCQVNmzaFi4sLevTogZcvXwJI64hu3LgRf/zxh6T7pAfDL168mGFSAJC2neb06dMRGRmJdevWCdcPHTqEv/76K0P+IkWKYNiwYdi0aRMA4NWrV3j48CGaN2+ebVvkt8HndulERETqVdgnfsoKCQnB1KlTAaRtpb5kyRJUqVJFlMfb2xtjxowR+l2xsbFYunQp9u7dm2m9KSkpmDx5sigYXrlyZWzYsAHt27cX5fXx8cH06dPh5uaG/fv3K3XGd0hICEaMGCEKhv/444+YO3duhi3Rk5OTceTIEcyZM0cY8FyxYgVat24tefvKlStXIioqCkZGRli0aBGGDx8u2qY+OTlZo1c/ERERUeEUHx+PESNGiAK01tbWWLhwIVq1apUhv7OzM2bMmCEErQ8ePIh27dph4MCBku73zz//ICQkBMWKFcPcuXPx888/ixappKamwtHREb/99puwA9CNGzdw+fJldOnSJTc/ap6bO3cuoqKiYGFhgRUrVqB3796i8d+EhATRWGx+v9ZE3wNumU5EGk1+BYaRkVG+3Xvjxo3Cqh0tLS3s27cv02B4Oi0tLaxdu1YUcM7sHO3Xr1/j5s2bQrpMmTLYunWrwmB4ulKlSmUIMu/bt08IQsvbs2ePKL1u3TqFwXBZs2fPRtOmTbPMk52yZcti3bp1CoPhmZESDE+no6ODDRs2iFY4nzp1Sqk2FilSBA4ODpmurgeAkiVLYseOHaL/k/3792d7lrys1atXKwyGy5o6dapo4Fl2EoO8kSNHigaeDx48mG0bIiMjRbNjmzVrhjp16mRbjoiIiFRH0yZ+3rx5E2PGjFF4hnn6xE/ZMxLTJ35KER0djbi4OIwbNw7//vtvhmA4ANSsWROnT58WBaqdnZ0RFhaWab1HjhwRHWljZWWFixcvZgiGA0C1atVw+vRpdO3aFQCU2oZ85syZotVHM2fOxOHDhxWeD66jowN7e3u4uLgIOyKlpKRg7ty5ku8XFRWF4sWLw8nJCWPGjMlwZruOjg4sLS0l10dERESUF/7++2+8ePFCSA8bNgznz59XGKAFgB49euDKlSuihTELFixAYmKipPuFhISgaNGiOH36NH799dcMOzZqaWlh+PDhWLVqleh6+kIlTZIeDHd1dYWdnV2G8d8iRYoIOzQB+f9aE30PGBAnIo0mPwCmTED8119/hbGxcbb/bG1tFd735MmTQrpr166SVuECQLFixTBy5Egh7ebmpvBcmOPHj4vSkydPlrRSpUmTJvjxxx+FdHBwMK5cuZIhX3BwMG7fvi2k69SpIwwAZkVLSwtTpkzJNl9WRo4ciRIlSuSqjuyULl0aLVq0ENKPHz9Wqnzfvn1RrVq1bPPVr19f9HoHBATAzc1N0j0qVqyIfv36ZZuvZMmSaNmypZB++fJlpmf9VK1aFW3bthXSp0+fFla8Z+bUqVOiPFwdTkREpH6FeeKnInXq1MHy5cuzXFFepkwZjB07VkjHx8dnWEkva9euXaL05s2bUaZMmUzz6+rqYvv27UqtDv/w4YPoPPMuXbpICm7XrVsXCxcuFNJPnz4VBe+zM2fOnHzfNYCIiIgoMxEREaKFN3Xq1MGmTZuyXNgDpO0SuX79eiEdEBCg1Jbms2fPhrW1dZZ5fvrpJ1Eg2N3dXXL9+WnVqlWwsrLKNp+6Xmuiwo4BcSIqUKRsyZgX7t+/L5pB16dPH6XKy3bUkpKS8OjRI4X3kNW/f3/J9ctvd/PgwYMMeR49eiQKqvbq1Uty/d27d8+wEkUZsgHk3EpISEBwcDA+ffqEjx8/iv7JDhy/efNGqXrt7Owk55UPait6vRXp2LGj5FXysqvI4+LiEBUVlWneUaNGCY8jIyOzXR0vu126oaGhpCA9ERERqVZhnvipyMSJE6Gnp5dtPvntLWVXxsjy8fHB06dPhbS1tbVo0mBmSpUqJQq6Z2fv3r1ISUkR0sqs9B4xYgQMDAyE9MWLFyWVMzQ0xOjRoyXfh4iIiEjVjh07JhwHA6QFqnV1pZ3I261bN1EgWGqfqHjx4vj555+zzaetrY1OnToJ6cDAwAy7MamblZWV5LFZdbzWRN8DniFORBrN2NhYlJbtDKiSfLDa1NQUHz9+lFxedtAMAD59+pQhj4eHh/DYwsJCqW0PmzVrJko/e/YsQ5708xfTNWzYUHL9RYsWRc2aNeHp6Sm5TDodHZ1cbcf95csXnDx5EteuXcPLly8RGBgoqVxW22kq0qRJkxznVfR6K5LdVumy5AfBIyMjM11l37NnT5QuXVo4L/PgwYMYMWKEwrwvX74UrZ7v16+fsH0nERERaY6CPPGzXbt22Zbr3LmzpPrl+0+y54PLkp+g2LdvX0n1A2kTI9etWycpr+zOQBUrVlRq1XaxYsXQuHFj4Tice/fuSSrXtm3bLI/1ISIiIspvsn2iYsWKoVu3bkqVt7a2hq+vLwDpfaIWLVpInjSqqA9pbm6uVBtVqVu3bpL7++p4rYm+BwyIE5FGMzExEaWVCYgvXrwYM2bMyHD9y5cv2a5g/vz5syg9ZMgQyfdVRH5LTPkVwIrOUcyKpaUl9PX1ERsbC0DxQGFISIgond3Z4fLKly+fo4B4yZIlJa3+kRcXF4cVK1Zg27ZtOTrfJjIyUnJeAwMDpTrFlSpVgra2tjDRIbOBWXnKrPSSn+mZ1WtQpEgR2NvbY+PGjQDSBoS9vLxQq1atDHllV4cD3C6diIhIUxTmiZ/yjIyMULZsWUn1K5okqIjs5FJAucmOderUQbFixRAXF5dlvpiYGDx//lxIV65cWanXCoBoIqKU1wpIO7KHiIiISJPI9iErVKig9Aps2fO/P3/+jJSUlGx3VcztQhNNokz/Th2vNdH3gAFxItJo8mcA+vj4SC5ramoKU1PTHN1X2dXG2ZE/4zk8PFyUzsl520ZGRkJAXL4+IOOgqrL3yOk5ljlZzRIfH49hw4bh2rVrObongEzP3FZE2ddCS0sLJUqUEF5nRa+3IqrsbI4cORKbNm0Sfu6DBw9i2bJlojzx8fE4duyYkK5Tp06G3QWIiIhIPQrrxE9FlOlXyk+szGySYFBQkChduXJlyffQ0dFBpUqV4O3tnWW+wMBAJCcnC+mbN28qteuSPKnfMUqXLp3jexARERHlteTkZFFQ9u3bt7nqE6WmpiIsLCzbcVtVLTRRB6n9O3W91kTfA04LISKNJn+eoew5gaqU150mZYK1eUX+DHBlf6b4+Pi8bE6W1q9fLwqG6+jooFevXti0aROuX78OLy8vfP78GSEhIQgLCxP+DR06NN/aqGmqVKki2p706NGjSEhIEOU5d+6caJCaq8OJiIg0R24nflaqVCnDv3LlymVbVtUTPxVRxXbwuZ1gKmWAVUqwXxmyO0RlhdulExERkSYJCwvL87FNKf2iwrSqWWr/Tl2vNdH3gCvEiUijNW/eHLq6ukhKSgIAfPz4EV++fJE02Jcb8it27t+/j5o1a+ZZ/SVLlhSlc7KNj+wqIvn6gIzbcCo7+JnXg6WZiYuLw5YtW4S0oaEhTp06hRYtWmRbNqcdOmVf79TUVFEZRa+3OowePRo3b94EkLaNu7Ozs+j8TNnt0osWLYrBgwfndxOJiIgoE5z4qfk0bWURERERkTqook9UmPuQucHXmkh1GBAnIo1WvHhxNG/eHHfv3hWuOTo6YubMmSq9r/w2NsHBwXlaf7FixWBoaCgEdD98+KBU+c+fPwvbpQOKt92xtLQUpb28vNCyZUvJ9/Dy8lKqTTl1584dUWB72rRpkoLhQNo2ljkRExODr1+/Sj5H/OPHj6LzMjVlG0tbW1uYmZkJW4YePHhQCIj7+vrCzc1NyNurV68MEz2IiIhIfQrrxM/8omiCadGiRSWXl7JFvfxrZWdnh71790q+BxEREVFhIN8natq0Ka5evaqm1qiP7NigqvC1JlKdwrPnBBEVWr/88osovX//fsTFxan0nvIrdh4/fpzn95A9/yUgICDDeY5ZefTokSjdqFGjDHmaNGkiSt+5c0dy/e/evROdV6NK79+/F6U7deokqVxCQgI8PDxyfN8nT57kOK+i11sd9PT0YG9vL6SvX78OPz8/AMC///4rmgHK7dKJiIg0S/rET1mOjo4qv6+qJ37mFzMzM1FamQmmycnJ+Pjxo9L3KKivFREREVFuFC1aVHTcTEHvE+no6AiPk5OTJZeTP7JHFQrba02kSRgQJyKN17t3b1SqVElI+/v746+//lLpPdu1ayc66/D06dN5fg/51dqnTp2SXPb48eOitPxgKgDUrVsXpUqVEtIXLlyQvA16fgzGppNfnSP1/Mdz587lamKEMv+n8v83Ulew54eRI0cK79WUlBQ4OjoiOTkZhw4dEvJUqVIFbdu2VVcTiYiIKBOFdeJnfpCdXAooN9nx1atXkl5nY2NjVKtWTUg/e/ZMqUFTIiIiosKiWbNmwuOPHz/i27dvamxN7siOPSoT5Pb29lZFczIoTK81kSZhQJyINJ6Ojk6GAPiOHTtw9OhRld2zTJkysLW1FdJPnjzBmTNn8vQeAwYMEKW3b98u6UzsZ8+ewdnZWUibmpqiS5cuGfLp6Ohg2LBhQjo6OhqLFy/Otn5fX19s374923x5RX67Sx8fn2zLxMXFYfXq1bm675kzZyTdy9PTEy4uLkK6bNmyGhVcrly5Mtq3by+kHR0dcfHiRXz58kW4Nnz4cNEEDyIiItIMhXXiZ36Qn6CoTF9dmZ+5Q4cOwuOIiAhuWUlERETfJdk+UWpqap6Pk+Yn2R2T3rx5I7nctWvXVNGcDArTa02kSRgQJ6ICoU+fPhg3bpyQTklJwYQJE7B69WokJCQoVZfUVdKzZs2Ctvb//Zn83//+h9u3byt1r//++w+XLl1S+FydOnVEgdUvX75g6tSpWZ5HExISgvHjx4vyNPKDIQABAABJREFUjBw5EsWKFVOY/5dffkHx4sWF9N69e7F+/XrRVtqyPn78iP79+4vOJ1e1OnXqiNLbt2/PtH1A2lZGU6ZMyfUZ5wkJCRg/fjyio6MzzRMeHo4JEyaIVgKNHDkSurq6ubp3Xhs9erTw2M/PD7NmzRLSurq6om3ViYiISHMU1omf+aFatWpo3LixkL579y7c3NyyLRccHIw9e/ZIvo/sbjwAsHTpUsTHxyvXWCIiIqICbsiQIdDX1xfS69evR2hoqBpblHP16tUTHn/48AHv3r3Ltsy9e/dw9+5dVTZLUJheayJNwoA4ERUYy5YtEwWQU1NTsWzZMjRr1gx79uwRzk7OzJMnT/DHH3+ge/fuku7XoEEDzJs3T0hHRUWhT58+mDVrVpZnFIaFheH06dMYPXo0GjRogCNHjmSad/Xq1aJg9smTJzF48GD4+vpmyHvnzh1069ZNtD2PlZUVfv/990zrr1ChAubPny+6tnjxYnTv3h3//vsvPDw88PbtW9y8eRNz586FjY0N3r17BxMTE7Rr1y7TevNSixYtUK5cOSF98+ZNjBs3TuF2QJ6enujbty+OHTsGAKIt4ZVRvHhx6Onp4fHjx7C1tVV4Fvnjx4/Ro0cPvHz5UrhmZWWFqVOn5uieqtSjRw+UKVNGSPv7+wuPu3btCnNzc3U0i4iIiCQojBM/88vPP/8sSv/6668IDAzMNH9SUhImTZqk1NaY9evXF00geP78OcaPH6/UBNLU1FS4uroiKChIchkiIiIiTVKmTBnRgozPnz/D3t5e6UDtnTt3JO3YqEryOz+uWrUqy/wBAQEYP368KpskUpheayJNollL3IiIslCkSBEcP34ckydPxsmTJ4Xrnz59EoLCVlZWsLS0hKmpKYoVK4aoqCgEBgbizZs3Gc6qBtLOjOnfv3+m9/ztt9/w6dMn7Nu3D0Da6uSdO3di586dqFSpEmrUqAFjY2MkJiYiPDwc7969w6dPnyT/TLVq1cLq1asxZcoUYVX05cuX0bhxYzRs2BBWVlZITEzE69ev8f79e1FZIyMj7NmzB4aGhlneY8KECfDx8cHu3buFa/fv38f9+/cV5tfR0cGWLVtw/vx5yT9Hbujq6mLOnDn49ddfhWsnTpzAuXPn0LRpU5QvXx7R0dF4+/Yt3r59K+Tp06cPDAwMcPjwYaXvaWpqihEjRmD58uV49uwZ2rdvjzp16qBatWpITU3FmzdvMpwLZGBgAAcHB9EMTU2hp6cHe3t7rF+/PsNzP/30kxpaRERERMpYtmwZvLy8hBXO6RM/Dx48iKlTp6Jr166oUKFCpuWfPHmCY8eOYf/+/ZLulz7xM311evrEz7Fjx2LixImoXLmywnJhYWG4fv06nJyccOHCBfTs2RNdu3ZV8qfNO0OHDsX+/fvx4MEDAGlH/3Tv3h0bNmzIMLnz3bt3mD59Om7dugUg7dgeqYHx9evX49mzZ8KkwzNnzsDLywuzZ8+Gra0tihQpkqFMSkoKXr16hfPnz+PEiRPw8fHBgwcPYGZmlpsfmYiIiEht5s2bBzc3N3h6egIA3N3d0bZtW8ycORMDBw6EgYGBwnI+Pj5wdnbGyZMn4eHhgRMnTqBatWr52XSR/v37Y968ecIEx6NHj6J06dKYN2+eaNwvJSUF58+fx59//gl/f3+l+o+5VVheayJNwoA4ERUoxYoVw549e9C1a1csWrQIAQEBoud9fX0Vrq6Wp6+vj0GDBuHPP//MdvXshg0bULduXSxYsEC0EuTjx4/4+PFjtvcyNjbO8vkRI0bAwMAA//vf/4T6U1NT8ezZMzx79kxhmXLlyuHw4cNo2LBhtvcH0laiW1paYuXKlVmuZildujT27NmD9u3b48SJE8L17ILuuTVixAi8fv0a27ZtE67Fx8fD3d1dYf7u3bvDwcEB06dPz/E9Z86ciS9fvgiTHV69eoVXr14pzFuiRAkcOHAALVu2zPH9VG3kyJHYsGGDaLv5cuXKKTxfnoiIiDRLYZz4mR+0tbWxbds2dOvWDcHBwQCA9+/fo3fv3qhcuTLq1KkDPT09fPjwQbQj0IgRI/D+/XvcuXNH0n3MzMzg6OiIgQMHCivQvby8MHr0aOjr66NBgwYoU6YM9PX1ERERgaCgIHh5eWV5NA8RERFRQWNgYABHR0f07dtXWLjj7++PqVOnYsaMGahfvz7Kli2L4sWLIyoqCsHBwXj9+rXCvqo6GRsbY8aMGViyZIlwbevWrTh48CBatGgBExMThIWF4enTp8IOlqVKlcLixYvxv//9L1/aWFheayJNwoA4ERVIgwcPRt++fXHixAkcP34cd+7cQWJiYpZlSpQogcaNG8POzg79+vVDyZIlJd9v3Lhx6NOnDzZv3oyTJ0/iy5cvWeavVq0aOnbsiIEDB6JFixbZ1t+/f39YW1tjxYo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YMWNMq8fXrFmTXkNDBnJ1ddX7779vtIOCgrR///4MHBFS4/79+xo6dKikh9U+pkyZkrEDAp5wzCmRM2dOffjhh0Z77dq1OnDgQAaOCEBC3NzcNGPGDKN94sSJRG/oXbhwoXHRUpLGjh3LRUsA6YZ5JZhXAk8O5pXILNh9HjZxcXHRlClTNG7cOO3evVt+fn4KCAhQ/vz5VapUKTVo0CBeCWEA/8fR0VHPP/+8fvzxR0nS1atXFRISQrmuLMjLy8vU/u+//zJoJEitkSNH6vr165Ie3tRSrFixDB4R8ORjTolXXnlFs2fP1sWLFyU9/P/r77//nqavERgYqCVLlmjLli06efKk7t69q2zZssnd3V01a9ZUq1at1KFDBzk4OKTp6wJZTYsWLdS3b19jxd0333yjVq1aydvb29TvypUrpm2CmjZtqldffTVevICAAC1btkxbt27VqVOndOfOHcXGxqpAgQKqUaOGWrVqpa5du9r8e+DWrVtasmSJtm/frtOnT8vf31+RkZFycnKSu7u7SpUqJS8vLzVp0kT169enxCaQxTCvBPNK4MnBvBKZASXTgceMkulPr88++0xTp0412qdPn1ahQoUycERID8eOHVPDhg2N9tKlS9WyZcsMHBFSYuvWrercubOkh/sUrV+/XnZ2dlq0aBEl0wEgGeKWtixYsKDOnDmjlStXqn///kafZcuWqUWLFlbPT25pyyVLlmjkyJG6e/duouOqWLGivvnmG9WuXTs5bwd46jx48EANGjTQlStXJEmlSpXS7t27jRWZsbGxevHFF/Xnn39KkvLmzStfX19TdSzp4c+uj4+P7t+/n+jreXp6au7cuUn+bC5cuFAjRoxQUFCQTe9j8uTJeu2112zqCwDInJhXAk825pXIaNzGAACPyaNf9pJkb2+v/PnzZ+BokF527dplPM6WLZtq1aqVgaNBSgQGBuqdd96RJOXIkUMzZsxg+wsASEOdOnVSjRo1jPZnn32mmJiYVMedMmWKBg4caLpo6e7uLm9vb9WuXVt58uQxjp86dUrt27fX1q1bU/26QFaWJ08ezZw505gLXbp0SaNHjzaenzdvnnHRUpK+/PJL00XLqKgoDRw4UCNHjjRdtCxevLi8vb3l7e1tukn4/PnzateunXbs2JHgmJYsWaIhQ4aYLloWLFhQzz77rBo3bqy6deuqRIkSpvlbWvw/BgCQ+TCvBJ4czCuR0UiIA8BjEBoaqi1bthjtmjVrUrorCzp79qxpn+levXqpQIECGTgipMQnn3yiq1evSpI++ugjlStXLoNHBABZi52dnT799FOj/e+//2rp0qWpirllyxaNHTvWaBctWlS//PKLTp8+rQ0bNuiPP/7Q2bNn5ePjY2xZExISoldffVXXrl1L1WsDWV3Dhg31xhtvGO0ffvhBf/zxhy5cuGD6WW7btq169OhhOnfcuHFasmSJ0e7du7cOHjyoY8eOacOGDdqwYYNOnz6ttWvXqkKFCpIe/u302muv6ebNm/HGEhUVZSqjWatWLW3btk1nzpzRpk2btHr1am3evFlHjx7VpUuX9MMPP6hly5aUtQSALIp5JfBkYV6JjMRXDgAeg7lz5yowMNBod+/ePQNHg7QSGxurwMBAHTx4UGPHjlWTJk2Mu4fr1q2r8ePHZ/AIkVw7d+7UggULJElVqlQxVooDANJW48aN1aRJE6M9YcIEhYeHpyhWVFSU3n33XaNdqFAhrV+/Xq1btzZdrMiZM6def/11LVq0yNjn8f79+xoxYkQK3wXw9BgzZozpJsG3335br7/+ukJCQiRJBQoUMG0PJUn//POPpk+fbrSnT5+umTNnqkyZMvHiN2rUSJs3bzYuXt65c0eTJ0+O1++ff/7RnTt3JEnOzs5auXKlatasaXXMefPmVceOHbV06VK98soryXzHAIAnBfNK4MnCvBIZhYQ4AKSzEydO6IsvvjDapUuX1ssvv5yBI0JqdO7cWa6urnJ1dZWbm5tKlCihpk2basqUKQoKClL+/Pk1cuRI/f7776YSWsj8goKC9Pbbb0uSHBwc9PXXX1PJAQDS0ZgxY4zSc35+fpo3b16K4vz+++9GZQ9J+uKLL1SyZMkE+zdp0sS01+Tvv/8uPz+/FL028LRwcnLSnDlzjIv+N27c0P79+43nv/rqK7m7u5vOmTp1qmJjYyU9vCE4qb+B8ubNa7r4+csvv+jBgwemPnFX3lWsWFGurq42jf/RuAEAWRPzSuDJwbwSGYWEOACko3v37qlPnz4KCwuT9PAX5qxZs+To6JjBI0N6yJMnj1555RX17NmTr/ET6NNPP9WVK1ckSW+++aa8vLwyeEQAkLXVqFFDnTp1MtpfffWVaS84W/3+++/G42LFiqlDhw5JnjN48GDjoml0dLQ2bNiQ7NcFnja1atUyrZp7pFu3bmrfvr3pmL+/vzZu3Gi0H910mJT69esbiYeQkBD9888/pudz5sxpPD537pyCg4NtHj8AIOtiXgk8WZhXIiOQEAeAdBIaGqpevXrpwoULxrHRo0fL29s7A0eF1PLy8lKzZs3UrFkzNW7cWF5eXnJ2dpYkPXjwQJMnT5aXl5e+/PJL485FZH67du3S/PnzJT2s4kCZMwB4PEaPHq3s2bNLengjYdwyeLb6+++/jcctW7Y0LkgmpmTJkqpSpYrRtrw4AsC6YcOGqXTp0kbbxcVFPj4+8fr5+voqJiZGkuTu7m76eUtK3L6HDh0yPefl5WX8jAcEBKhXr146c+ZMst4DACBrYl4JPFmYV+Jxow4oAKSDiIgIvfTSS9q3b59xbMCAARo6dGjGDQppYtSoUfGOxcTEaOfOnRo/frz279+vyMhITZw4Uf7+/qZy+cicQkJC9Pbbbxs3MEyfPl1OTk4ZPCoAeDqUKlVK/fr1M8pazpkzR6+//ro8PDxsOj8qKsqo7iEpWRdHKleurGPHjkmS6QZGAAnLnj27ihQpoosXL0p6WI7SWnnJf//913gcHh6uzp072/waJ06cMB4/2tfxkaJFi6pLly5avny5JGnnzp2qW7euqlatqiZNmqhu3bqqW7euChYsmJy3BQDIAphXAk8W5pV43EiIA0Aai4yM1Msvv6w//vjDOPbyyy9bvcMNWYO9vb2aNGmiRo0a6bXXXtOqVaskPfzjq02bNmrYsGEGjxCJ+fTTT3Xp0iVJUt++fdWoUaOMHRAAPGU++ugjLVmyRA8ePFBISIi++OILTZs2zaZzLUth5s+f3+bXLVCggPE4ICDA5vMAJO3evXvG48DAQG3dujVFcQIDA+Md++qrr3Tv3j1TzGPHjhmJCEmqVKmS2rdvr759+6po0aIpem0AwJOHeSWQ9TCvRFqhZDoApKGoqCj179/ftF9Qnz59NG3aNJvKLOHJ5uDgoOnTp8vNzc049ujOZGROp06dMr5GHh4e+vzzzzN4RADw9HF3d9fgwYON9s8//6yzZ8/adG54eLip7ejoaPPr5siRI8E4AFInJCQkTeI8Ko8ZV548ebRy5Ur99NNPaty4sbJli7/W4+TJk/ryyy9Vs2ZNffHFF1bjAACyHuaVQNbDvBJphRXiAJBGoqOjNWDAAK1du9Y41qtXL82YMYNk+FPExcVFzZs317JlyySZ959C5nP79m2jVPrNmzdVqlSpZJ1fvXp143Hx4sVNd5ACAGz31ltv6fvvv9etW7cUFRWlzz//XD/99FOS5+XNm9fUDgoKsvk1464QcHFxsX2wAJIU92ezcuXK2rNnT5q/Rrt27dSuXTs9ePBA+/bt019//aU9e/bon3/+UVRUlKSHSYkvvvhCoaGh+uyzz9J8DACAzId5JZC1MK9EWmGFOACkgejoaL3++utGqWxJ6tmzp7755hvZ2/O/2qdNsWLFjMd3797NwJEAAPBkcHZ21ocffmi0f/vtN+3fvz/J83Lnzq1cuXIZ7Uf7z9ni0XYZ0sPVRADSTty9Fm/fvp2ur5UnTx41b95co0aN0oYNG3Tu3Dl98cUXpj0oZ86cKT8/v3QdBwAgc2BeCWQtzCuRVsjSAEAqRUdHa+DAgVq5cqVxrEePHpo5cybJ8KdU3DuD406YkPlkz55d+fLls/mfs7Oz6XxXV1fjubil8gEAydevXz+VKVPGaI8ZM8am8+JW67C1MktUVJQOHDhgtL28vGwcJQBbPPvss8bjW7dumRIF6c3V1VUDBw7UggULjGNRUVHauXPnYxsDACBjMa8Esg7mlUgrZGoAIBViYmI0aNAgLV++3DjWvXt3zZo1i2T4Uyxu6Z7SpUtn4EiQlHr16unChQs2//vyyy9N5+/cudN47s8//8ygdwEAWUP27Nk1atQoo71nzx5t2rQpyfMaNGhgPN6xY4f++++/JM/ZtGmT7t27ZzUGgNSrWbOm8uXLZ7RtKVWb1ho3bmwqW3vr1q3HPgYAQMZgXglkHcwrkVbI1gBACsXExGjw4MHGXtGS1K1bN82ePZtk+FNs2bJlOnnypNFu1apVBo4GAIAnS8eOHU2rasaOHZvkOS+99JIx94qMjExyBVB4eLg+//xzo128eHE1bdo0hSMGYE22bNn05ptvGu3Zs2fryJEjqY4bGxtrc9/w8HBjz0dJVPMBgKcM80oga2BeibRCxgYAUiA2NlZDhw7V4sWLjWPdunXTnDlzSIZnIX///bfef/99XbhwIcm+sbGx+vHHH/X2228bxwoUKKBXXnklPYcIAECWYmdnp08//dRonzt3LslzSpYsqZ49exrtJUuWyMfHx+oFjuDgYL3yyis6ffq0cezDDz+Ug4ND6gYOIJ433nhDnp6ekqSQkBB17NjRptV5AQEBmj9/vjp27BjvuWnTpumdd97Rv//+m2ScCRMmKCQkxGg3bNgwGaMHADzpmFcCWQfzSqSFbBk9ACCrmjRpkiZPnhzveEREhPHY19dXhQoVitene/fumjFjRrqOD6mzevVqLVy40Gjb2dnp1q1b6tq1q80xPvvsM1WpUiU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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 560, "width": 994 } }, "output_type": "display_data" } ], "source": [ "df_cat = train_df[categorical]\n", "\n", "fig, ax = plt.subplots(2, 3, figsize=(14, 8))\n", "\n", "for index, column in enumerate(df_cat.columns):\n", "\n", " plt.subplot(2, 3, index + 1)\n", " sns.countplot(x=column,\n", " data=train_df,\n", " edgecolor=edgecolor,\n", " palette=colors_cat)\n", "\n", " plt.ylabel('Count')\n", " if (column == 'HasCrCard' or column == 'IsActiveMember'):\n", " plt.xticks([0, 1], ['No', 'Yes'])\n", "\n", "plt.tight_layout();" ] }, { "cell_type": "markdown", "id": "8bd8aa8a", "metadata": {}, "source": [ "Important points:\n", "\n", "- The bank has customers in three countries (France, Spain, and Germany). Most customers are in France.\n", "- There are more male customers than females,\n", "- Only a small percentage leaves within the first year. The count of customers in tenure years between 1 and 9 is almost the same,\n", "- Most of the customers have purchased 1 or 2 products, while a small portion has purchased 3 and 4,\n", "- A significant majority of customers has a credit card, and\n", "- Almost 50% of customers are not active.\n", "\n", "Again, we will look at these features in greater detail.\n", "\n", "
\n", "\n", "### Geography" ] }, { "cell_type": "code", "execution_count": 23, "id": "5503dae9", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:33.995595Z", "start_time": "2022-03-31T15:54:32.690287Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 344, "width": 993 } }, "output_type": "display_data" } ], "source": [ "plot_categorical(df, 'Geography')" ] }, { "cell_type": "markdown", "id": "bf361f5b", "metadata": {}, "source": [ "Customers in Germany are more likely to churn than customers in the other two countries (the churn rate is almost double compared to Spain and France). Many reasons could explain this finding, such as higher competition or different preferences for German customers.\n", "\n", "
\n", "\n", "### Gender" ] }, { "cell_type": "code", "execution_count": 24, "id": "7c6be220", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:35.207273Z", "start_time": "2022-03-31T15:54:34.002652Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 344, "width": 993 } }, "output_type": "display_data" } ], "source": [ "plot_categorical(df, 'Gender')" ] }, { "cell_type": "markdown", "id": "b000a3e9", "metadata": {}, "source": [ "Female customers are more likely to churn.\n", "\n", "
\n", "\n", "### Tenure" ] }, { "cell_type": "code", "execution_count": 25, "id": "96f379d7", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:37.369277Z", "start_time": "2022-03-31T15:54:35.212156Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 344, "width": 993 } }, "output_type": "display_data" } ], "source": [ "plot_categorical(df, 'Tenure')" ] }, { "cell_type": "markdown", "id": "9cbc7ef7", "metadata": {}, "source": [ "The number of years (tenure) does not affect the churn rate.\n", "\n", "
\n", "\n", "### Number of Products" ] }, { "cell_type": "code", "execution_count": 26, "id": "261772bb", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:38.709318Z", "start_time": "2022-03-31T15:54:37.374561Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 344, "width": 993 } }, "output_type": "display_data" } ], "source": [ "plot_categorical(df, 'NumOfProducts')" ] }, { "cell_type": "markdown", "id": "0e21ffd7", "metadata": {}, "source": [ "Interestingly, having three or four products can significantly increase the likelihood of churn. I am not sure how to interpret this result. It could potentially mean that the bank cannot properly support customers with more products, thus increasing customer dissatisfaction.\n", "\n", "
\n", "\n", "### Card Holders" ] }, { "cell_type": "code", "execution_count": 27, "id": "21661a75", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:39.870893Z", "start_time": "2022-03-31T15:54:38.712102Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 344, "width": 993 } }, "output_type": "display_data" } ], "source": [ "plot_categorical(df, 'HasCrCard')" ] }, { "cell_type": "markdown", "id": "f0655e5a", "metadata": {}, "source": [ "Having a credit card does not seem to affect the churn rate.\n", "\n", "
\n", "\n", "### Active Members" ] }, { "cell_type": "code", "execution_count": 28, "id": "0ffc8667", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:41.042126Z", "start_time": "2022-03-31T15:54:39.875014Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 344, "width": 993 } }, "output_type": "display_data" } ], "source": [ "plot_categorical(df, 'IsActiveMember')" ] }, { "cell_type": "markdown", "id": "1efc424d", "metadata": {}, "source": [ "It is not a surprise that inactive customers are more likely to churn. A significant portion of the clientele is inactive; therefore, the bank will benefit from changing its policy so that more customers become active.\n", "\n", "
\n", "\n", "---\n", "\n", "# Data Pre-processing\n", "\n", "Data pre-processing is the process of converting raw data into a well-readable format that is suitable for building and training ML models.\n", "\n", "Let's complete this process step-by-step.\n", "\n", "
\n", "\n", "## Feature Selection\n", "\n", "We have already performed feature selection by dropping columns 'RowNumber', 'CustomerId', and 'Surname' at the beginning of our notebook. EDA revealed several more features that can be dropped as they do not provide any value in predicting our target variable:\n", "\n", "- 'EstimatedSalary' displays a uniform distribution for both types of customers and can be dropped.\n", "- The categories in 'Tenure' and 'HasCrCard' have a similar churn rate and are deemed redundant. This observation can be confirmed from a chi-square test (Ref. [[2](#References)]):" ] }, { "cell_type": "code", "execution_count": 29, "id": "180bef7f", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:41.193555Z", "start_time": "2022-03-31T15:54:41.046055Z" } }, "outputs": [ { "data": { "text/html": [ "
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VariableChi-squarep-value
3NumOfProducts1215.1093.865e-263
0Geography237.9402.148e-52
5IsActiveMember182.6441.283e-41
1Gender95.7131.328e-22
2Tenure19.4383.504e-02
4HasCrCard0.5604.544e-01
\n", "
" ], "text/plain": [ " Variable Chi-square p-value\n", "3 NumOfProducts 1215.109 3.865e-263\n", "0 Geography 237.940 2.148e-52\n", "5 IsActiveMember 182.644 1.283e-41\n", "1 Gender 95.713 1.328e-22\n", "2 Tenure 19.438 3.504e-02\n", "4 HasCrCard 0.560 4.544e-01" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "chi2_array, p_array = [], []\n", "for column in categorical:\n", "\n", " crosstab = pd.crosstab(train_df[column], train_df['Exited'])\n", " chi2, p, dof, expected = chi2_contingency(crosstab)\n", " chi2_array.append(chi2)\n", " p_array.append(p)\n", "\n", "df_chi = pd.DataFrame({\n", " 'Variable': categorical,\n", " 'Chi-square': chi2_array,\n", " 'p-value': p_array\n", "})\n", "df_chi.sort_values(by='Chi-square', ascending=False)" ] }, { "cell_type": "markdown", "id": "f4185999", "metadata": {}, "source": [ "'Tenure' and 'HasCrCard' have a small chi-square and a p-value greater than 0.05 (the standard cut-off value), confirming our initial hypothesis that these two features do not convey any useful information.\n", "\n", "We can use the `drop()` method to remove these three features from the train set:" ] }, { "cell_type": "code", "execution_count": 30, "id": "78c18c7c", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:41.208655Z", "start_time": "2022-03-31T15:54:41.194552Z" } }, "outputs": [], "source": [ "features_drop = ['Tenure', 'HasCrCard', 'EstimatedSalary']\n", "train_df = train_df.drop(columns=features_drop)" ] }, { "cell_type": "markdown", "id": "3615465f", "metadata": {}, "source": [ "
\n", "\n", "## Encoding Categorical Features\n", "\n", "ML algorithms usually require all input (and output) features to be numeric. Consequently, categorical features must be converted (encoded) to numbers before building models.\n", "\n", "Our dataset contains two features that require encoding.\n", "\n", "- For 'Gender', we will use scikit-learn's `LabelEncoder()` which maps each unique label to an integer (Male --> 1 and Female --> 0).\n", "- For 'Geography', we will manually map values so that customers in Germany have the value of one (1) and all other customers (France and Spain) have zero (0). We chose this method since the churn rate for customers in the other two countries is almost equal and considerably lower than in Germany. Therefore, it makes sense to encode this feature to differentiate between German and non-German customers. Additionally, I tried one-hot encoding (`get_dummies()`) this feature, and the two new features for France and Spain had small feature importance.\n" ] }, { "cell_type": "code", "execution_count": 31, "id": "e90ff048", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:41.246423Z", "start_time": "2022-03-31T15:54:41.213644Z" } }, "outputs": [], "source": [ "train_df['Gender'] = LabelEncoder().fit_transform(train_df['Gender'])\n", "\n", "train_df['Geography'] = train_df['Geography'].map({\n", " 'Germany': 1,\n", " 'Spain': 0,\n", " 'France': 0\n", "})" ] }, { "cell_type": "markdown", "id": "ba27e7d0", "metadata": {}, "source": [ "
\n", "\n", "## Scaling\n", "\n", "Feature scaling is a technique used to normalise the range of features. Some algorithms are sensitive to feature scaling (e.g. SVMs), while others are invariant (e.g. Random Forests).\n", "\n", "I decided to use scikit-learn's `StandardScaler()`, which standardises features by subtracting the mean and dividing by the standard deviation. This transformation results in features with zero mean and unit variance." ] }, { "cell_type": "code", "execution_count": 32, "id": "65097eb6", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:41.289164Z", "start_time": "2022-03-31T15:54:41.253041Z" } }, "outputs": [], "source": [ "scaler = StandardScaler()\n", "\n", "scl_columns = ['CreditScore', 'Age', 'Balance']\n", "train_df[scl_columns] = scaler.fit_transform(train_df[scl_columns])" ] }, { "cell_type": "markdown", "id": "b5264f1a", "metadata": {}, "source": [ "Finally, we will split the train set into 'X_train' and 'y_train' sets:" ] }, { "cell_type": "code", "execution_count": 33, "id": "eb73f8e0", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:41.325852Z", "start_time": "2022-03-31T15:54:41.294251Z" } }, "outputs": [], "source": [ "y_train = train_df['Exited']\n", "X_train = train_df.drop(columns='Exited')" ] }, { "cell_type": "markdown", "id": "907b679c", "metadata": {}, "source": [ "
\n", "\n", "## Addressing Class Imbalance\n", "\n", "As we have seen previously, there is an imbalance in the classes to be predicted, with one class (0 – retained) much more prevalent than the other (1 - churned):" ] }, { "cell_type": "code", "execution_count": 34, "id": "2483c79c", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:41.364329Z", "start_time": "2022-03-31T15:54:41.325852Z" } }, "outputs": [ { "data": { "text/plain": [ "0 6370\n", "1 1630\n", "Name: Exited, dtype: int64" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_train.value_counts()" ] }, { "cell_type": "markdown", "id": "37a4d584", "metadata": {}, "source": [ "Class imbalance is usually a problem and occurs in many real-world tasks. Classification using imbalanced data favours \n", "the majority class, meaning that ML algorithms will likely result in models that do little more than predict the most common class. Also, common metrics can be misleading when handling class-imbalanced data (e.g. if a dataset contains 99.9% 0s and 0.1% 1s, a classifier that always predicts 0 will have 99.9% accuracy).\n", "\n", "Thankfully, some methods can address this problem. **Resampling** is a widely adopted technique designed to alter the class distribution in the training dataset. It consists of removing instances of the majority class (**Undersampling**) and/or adding copies of instances from the minority class (**Oversampling**). Additionally, there are algorithms for generating **synthetic** instances of the minority class. For example, as we read in Ref. [[2](#References)], the **SMOTE** ('Synthetic Minority Oversampling Technique') algorithm '*finds a record that is similar to the record being upsampled and creates a synthetic record that is a randomly weighted average of the original record and the neighbouring record, where the weight is generated separately for each predictor*'.\n", "\n", "In this project, we will leave our dataset untouched and use the same algorithms but give them a different perspective on the problem. **Penalised classification** imposes an additional cost on the model for making classification mistakes on the minority class during training. These penalties can bias the model to pay more attention to the minority class (Ref. [[9](#References)]). For most algorithms, penalised classification is implemented by including an extra hyperparameter called `class_weight` and setting it equal to `balanced`." ] }, { "cell_type": "markdown", "id": "eef37ab9", "metadata": {}, "source": [ "
\n", "\n", "## Pre-processing the Test Set\n", "\n", "We need to perform the same pre-processing steps for the test set as we did for the training set." ] }, { "cell_type": "code", "execution_count": 35, "id": "5d028621", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:41.410549Z", "start_time": "2022-03-31T15:54:41.370180Z" } }, "outputs": [], "source": [ "test_df = test_df.drop(features_drop, axis=1)\n", "\n", "test_df['Gender'] = LabelEncoder().fit_transform(test_df['Gender'])\n", "test_df['Geography'] = test_df['Geography'].map({\n", " 'Germany': 1,\n", " 'Spain': 0,\n", " 'France': 0\n", "})\n", "\n", "test_df[scl_columns] = scaler.transform(test_df[scl_columns]) # not fit_transform, scaler has already been trained\n", "\n", "y_test = test_df['Exited']\n", "X_test = test_df.drop('Exited', 1)" ] }, { "cell_type": "markdown", "id": "aac3446a", "metadata": {}, "source": [ "
\n", "\n", "---\n", "\n", "# Building Machine Learning Models\n", "\n", "## Baseline Models\n", "\n", "In this section, we will create two simple models to estimate the **baseline performance** on the training set. Specifically, we will use the Gaussian Naïve Bayes and Logistic Regression algorithms.\n", "\n", "We will use their default parameters and evaluate their (mean) AUC score by performing **k-fold cross-validation**. The idea behind k-fold cross-validation, illustrated in [this figure](https://scikit-learn.org/stable/_images/grid_search_cross_validation.png), is simple: it splits the (training) set into k subsets/folds, trains the models using k-1 folds, and evaluates the model on the remaining one fold. This process is repeated until every fold is tested once. We will define the number of folds as a separate variable, `cv`, equal to 5. By setting this variable as an integer, stratified sampling will be used to create the folds." ] }, { "cell_type": "code", "execution_count": 36, "id": "04f014b0", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:41.457232Z", "start_time": "2022-03-31T15:54:41.410549Z" } }, "outputs": [], "source": [ "scoring_metric = 'roc_auc'\n", "cv = 5 # If int, StratifiedKFold is used." ] }, { "cell_type": "code", "execution_count": 37, "id": "f7ddedd2", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:54:48.881816Z", "start_time": "2022-03-31T15:54:41.461025Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Baseline Models - CV (roc_auc) Score:\n", " GNB: 0.797 ± 0.005\n", " LR: 0.771 ± 0.009\n" ] } ], "source": [ "clf_list = [('GNB', GaussianNB()),\n", " (' LR', LogisticRegression(random_state=random_state,\n", " class_weight='balanced'))]\n", "\n", "cv_base_mean, cv_base_std = [], []\n", "for clf in clf_list:\n", "\n", " cv_scores = cross_val_score(estimator=clf[1],\n", " X=X_train,\n", " y=y_train,\n", " scoring=scoring_metric,\n", " cv=cv,\n", " n_jobs=-1)\n", "\n", " cv_base_mean.append(cv_scores.mean())\n", " cv_base_std.append(cv_scores.std())\n", "\n", "print('Baseline Models - CV ({}) Score:'.format(scoring_metric))\n", "for i in range(len(clf_list)):\n", " print(' {}: {} ± {}'.format(clf_list[i][0],\n", " np.round(cv_base_mean[i], 3),\n", " np.round(cv_base_std[i], 3)))" ] }, { "cell_type": "markdown", "id": "13f22af2", "metadata": {}, "source": [ "
\n", "\n", "## Model Tuning\n", "\n", "We are now ready to start building ML models. The seven classifiers we will use are:\n", "\n", "1) [Logistic Regression](https://scikit-learn.org/stable/modules/generated/sklearn.linear_model.LogisticRegression.html),
\n", "2) [Support Vector Classifier](https://scikit-learn.org/stable/modules/generated/sklearn.svm.SVC.html#sklearn.svm.SVC),
\n", "3) [Random Forest Classifier](https://scikit-learn.org/stable/modules/generated/sklearn.ensemble.RandomForestClassifier.html),
\n", "4) [Balanced Random Forest Classifier](https://imbalanced-learn.org/stable/references/generated/imblearn.ensemble.BalancedRandomForestClassifier.html),
\n", "5) [Gradient Boosting Classifier](https://scikit-learn.org/stable/modules/generated/sklearn.ensemble.GradientBoostingClassifier.html),
\n", "6) [Xtreme Gradient Boosting Classifier](https://xgboost.readthedocs.io/en/latest/), and
\n", "7) [Light Gradient Boosting Machine](https://lightgbm.readthedocs.io/en/latest/).\n", "\n", "We will not go into detail about how these algorithms work. More information can be found in Ref. [[1](#References)] or the corresponding documentation.\n", "\n", "Using default hyperparameters usually results in non-optimised models that overfit or underfit the dataset. **Hyperparameter tuning** is the process of finding the set of hyperparameter values that achieves optimal performance. For this purpose, we will first define which hyperparameters we want to experiment with and what values to try out. We will pass this information to Scikit-Learn’s `GridSearchCV`, which evaluates all the possible combinations of hyperparameter values. As mentioned earlier, **roc_auc** will be the scoring metric for optimising the models. Note that `GridSearchCV` evaluates the performance by performing k-fold cross-validation; therefore, the number of folds must be provided. We will set this parameter equal to 5, as we did earlier for the baseline performance.\n", "\n", "
\n", "\n", "### Logistic Regression" ] }, { "cell_type": "code", "execution_count": 38, "id": "aa4dc3d3", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T15:55:04.313439Z", "start_time": "2022-03-31T15:54:48.891405Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " Logistic Regression\n", "-------------------------------\n", " Best Score (roc_auc): 0.772\n", " Best Parameters: \n", " C: 0.01\n", " max_iter: 50\n", " penalty: l2\n", " solver: lbfgs\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 353, "width": 425 } }, "output_type": "display_data" } ], "source": [ "lr = LogisticRegression(random_state=random_state, class_weight='balanced')\n", "\n", "param_grid = {\n", " 'penalty': ['l1', 'l2'],\n", " 'C': [0.001, 0.01, 0.1, 1, 10],\n", " 'solver': ['lbfgs', 'liblinear', 'newton-cg', 'sag', 'saga'],\n", " 'max_iter': [50, 100, 500]\n", "}\n", "\n", "lr_clf = GridSearchCV(estimator=lr,\n", " param_grid=param_grid,\n", " scoring=scoring_metric,\n", " cv=cv,\n", " verbose=False,\n", " n_jobs=-1)\n", "\n", "best_lr_clf = lr_clf.fit(X_train, y_train)\n", "clf_performance(best_lr_clf, 'Logistic Regression', 'LR', cv)" ] }, { "cell_type": "markdown", "id": "70f93c42", "metadata": {}, "source": [ "
\n", "\n", "### Support Vector Classifier" ] }, { "cell_type": "code", "execution_count": 39, "id": "d149af28", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T16:07:06.076512Z", "start_time": "2022-03-31T15:55:04.321242Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " Support Vector Classifier\n", "-------------------------------\n", " Best Score (roc_auc): 0.861\n", " Best Parameters: \n", " C: 1\n", " gamma: auto\n", " kernel: rbf\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 353, "width": 425 } }, "output_type": "display_data" } ], "source": [ "svc = SVC(probability=True, random_state=random_state, class_weight='balanced')\n", "\n", "param_grid = {\n", " 'kernel': ['linear', 'rbf', 'sigmoid'],\n", " 'C': [0.01, 0.1, 1, 10],\n", " 'gamma': ['scale', 'auto']\n", "}\n", "\n", "svc_clf = GridSearchCV(estimator=svc,\n", " param_grid=param_grid,\n", " scoring=scoring_metric,\n", " cv=cv,\n", " verbose=False,\n", " n_jobs=-1)\n", "\n", "best_svc_clf = svc_clf.fit(X_train, y_train)\n", "clf_performance(best_svc_clf, 'Support Vector Classifier', 'SVC', cv)" ] }, { "cell_type": "markdown", "id": "3da96b0e", "metadata": {}, "source": [ "
\n", "\n", "### Random Forest\n", "\n", "There are two variations of the standard Random Forest classifier that are suited for imbalanced classification (Ref. [[8](#References)]):\n", "\n", "1) **Random Forest With Class Weighting**: This variation is implemented by setting the `class_weight` parameter to `balanced`, which changes each class's weight when calculating the impurity score of a chosen split point.\n", "\n", "2) **Random Forest With Bootstrap Class Weighting**: This variation is implemented by setting the `class_weight` parameter to `balanced_subsample`. This variation is different from the first, as it changes the class weighting based on the class distribution in each bootstrap sample instead of the entire training dataset." ] }, { "cell_type": "code", "execution_count": 40, "id": "5a7eeddf", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T16:08:13.930287Z", "start_time": "2022-03-31T16:07:06.076512Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " Random Forest\n", "-------------------------------\n", " Best Score (roc_auc): 0.853\n", " Best Parameters: \n", " bootstrap: True\n", " class_weight: balanced\n", " criterion: gini\n", " max_depth: 5\n", " max_features: auto\n", " min_samples_leaf: 5\n", " min_samples_split: 5\n", " n_estimators: 100\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 353, "width": 425 } }, "output_type": "display_data" } ], "source": [ "rf = RandomForestClassifier(random_state=random_state)\n", "param_grid = {\n", " 'n_estimators': [100], # default=100\n", " 'criterion': ['entropy', 'gini'],\n", " 'max_depth': [5], # default=None\n", " 'min_samples_split': [5, 10],\n", " 'min_samples_leaf': [5, 10],\n", " 'max_features': ['auto', 'sqrt'],\n", " 'bootstrap': [True, False],\n", " 'class_weight': ['balanced', 'balanced_subsample']\n", "}\n", "\n", "rf_clf = GridSearchCV(estimator=rf,\n", " param_grid=param_grid,\n", " scoring=scoring_metric,\n", " cv=cv,\n", " verbose=False,\n", " n_jobs=-1)\n", "\n", "best_rf_clf = rf_clf.fit(X_train, y_train)\n", "clf_performance(best_rf_clf, 'Random Forest', 'RF', cv)" ] }, { "cell_type": "markdown", "id": "9ac977ca", "metadata": {}, "source": [ "
\n", "\n", "### Random Forest With Random Undersampling\n", "\n", "A third variation of the Random Forest classifier performs data resampling on the bootstrap sample to explicitly change the class distribution. The `BalancedRandomForestClassifier` algorithm is provided by the `imbalanced-learn` package." ] }, { "cell_type": "code", "execution_count": 41, "id": "7ee4868b", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T16:09:36.886292Z", "start_time": "2022-03-31T16:08:13.930287Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " Balanced Random Forest\n", "-------------------------------\n", " Best Score (roc_auc): 0.853\n", " Best Parameters: \n", " bootstrap: True\n", " class_weight: balanced_subsample\n", " criterion: gini\n", " max_depth: 5\n", " max_features: auto\n", " min_samples_leaf: 5\n", " min_samples_split: 5\n", " n_estimators: 100\n", " sampling_strategy: auto\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 353, "width": 425 } }, "output_type": "display_data" } ], "source": [ "brf = BalancedRandomForestClassifier(random_state=random_state)\n", "\n", "param_grid = {\n", " 'n_estimators': [100],\n", " 'criterion': ['entropy', 'gini'],\n", " 'max_depth': [5],\n", " 'min_samples_split': [5, 10],\n", " 'min_samples_leaf': [5, 10],\n", " 'max_features': ['auto', 'sqrt'],\n", " 'bootstrap': [True, False],\n", " 'sampling_strategy': ['auto'],\n", " 'class_weight': ['balanced', 'balanced_subsample']\n", "}\n", "\n", "brf_clf = GridSearchCV(estimator=brf,\n", " param_grid=param_grid,\n", " scoring=scoring_metric,\n", " cv=cv,\n", " verbose=False,\n", " n_jobs=-1)\n", "\n", "best_brf_clf = brf_clf.fit(X_train, y_train)\n", "clf_performance(best_brf_clf, 'Balanced Random Forest', 'BRF', cv)" ] }, { "cell_type": "markdown", "id": "ef9b163b", "metadata": {}, "source": [ "
\n", "\n", "### Gradient Boosting Classifier" ] }, { "cell_type": "code", "execution_count": 42, "id": "b226d56b", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T16:10:43.173445Z", "start_time": "2022-03-31T16:09:36.886292Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " Gradient Boosting Classifier\n", "-------------------------------\n", " Best Score (roc_auc): 0.859\n", " Best Parameters: \n", " learning_rate: 0.01\n", " max_depth: 4\n", " max_features: log2\n", " min_samples_leaf: 7\n", " min_samples_split: 5\n", " n_estimators: 600\n", " n_iter_no_change: 20\n", " subsample: 0.66\n", " tol: 0.01\n", " validation_fraction: 0.2\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 353, "width": 425 } }, "output_type": "display_data" } ], "source": [ "gbc = GradientBoostingClassifier(random_state=random_state)\n", "param_grid = {\n", " 'learning_rate': [0.001, 0.01],\n", " 'n_estimators': [600],\n", " 'subsample': [0.66, 0.75],\n", " 'min_samples_split': [5, 7],\n", " 'min_samples_leaf': [5, 7],\n", " 'max_depth': [4], # default=3\n", " 'max_features': ['auto', 'log2', None],\n", " 'n_iter_no_change': [20],\n", " 'validation_fraction': [0.2],\n", " 'tol': [0.01]\n", "}\n", "\n", "gbc_clf = GridSearchCV(estimator=gbc,\n", " param_grid=param_grid,\n", " scoring=scoring_metric,\n", " cv=cv,\n", " verbose=False,\n", " n_jobs=-1)\n", "\n", "best_gbc_clf = gbc_clf.fit(X_train, y_train)\n", "clf_performance(best_gbc_clf, 'Gradient Boosting Classifier', 'GBC', cv)" ] }, { "cell_type": "markdown", "id": "3202fb0d", "metadata": {}, "source": [ "The number of estimators after early stopping is:\n" ] }, { "cell_type": "code", "execution_count": 43, "id": "87627d1e", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T16:10:43.189035Z", "start_time": "2022-03-31T16:10:43.173445Z" } }, "outputs": [ { "data": { "text/plain": [ "186" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "best_gbc_clf.best_estimator_.n_estimators_" ] }, { "cell_type": "markdown", "id": "d5e2591d", "metadata": {}, "source": [ "
\n", "\n", "### XGBoost Classifier" ] }, { "cell_type": "code", "execution_count": 44, "id": "6cadcf58", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T16:11:53.603906Z", "start_time": "2022-03-31T16:10:43.189035Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[17:11:50] WARNING: C:/Users/Administrator/workspace/xgboost-win64_release_1.5.1/src/learner.cc:1115: Starting in XGBoost 1.3.0, the default evaluation metric used with the objective 'binary:logistic' was changed from 'error' to 'logloss'. Explicitly set eval_metric if you'd like to restore the old behavior.\n", "\n", " XGBoost Classifier\n", "-------------------------------\n", " Best Score (roc_auc): 0.857\n", " Best Parameters: \n", " colsample_bytree: 0.75\n", " gamma: 0.1\n", " learning_rate: 0.01\n", " max_depth: 6\n", " min_child_weight: 1\n", " n_estimators: 50\n", " reg_alpha: 10\n", " reg_lambda: 10\n", " scale_pos_weight: 5\n", " subsample: 0.75\n", "[17:11:50] WARNING: C:/Users/Administrator/workspace/xgboost-win64_release_1.5.1/src/learner.cc:1115: Starting in XGBoost 1.3.0, the default evaluation metric used with the objective 'binary:logistic' was changed from 'error' to 'logloss'. Explicitly set eval_metric if you'd like to restore the old behavior.\n", "[17:11:51] WARNING: C:/Users/Administrator/workspace/xgboost-win64_release_1.5.1/src/learner.cc:1115: Starting in XGBoost 1.3.0, the default evaluation metric used with the objective 'binary:logistic' was changed from 'error' to 'logloss'. Explicitly set eval_metric if you'd like to restore the old behavior.\n", "[17:11:51] WARNING: C:/Users/Administrator/workspace/xgboost-win64_release_1.5.1/src/learner.cc:1115: Starting in XGBoost 1.3.0, the default evaluation metric used with the objective 'binary:logistic' was changed from 'error' to 'logloss'. Explicitly set eval_metric if you'd like to restore the old behavior.\n", "[17:11:52] WARNING: C:/Users/Administrator/workspace/xgboost-win64_release_1.5.1/src/learner.cc:1115: Starting in XGBoost 1.3.0, the default evaluation metric used with the objective 'binary:logistic' was changed from 'error' to 'logloss'. Explicitly set eval_metric if you'd like to restore the old behavior.\n", "[17:11:52] WARNING: C:/Users/Administrator/workspace/xgboost-win64_release_1.5.1/src/learner.cc:1115: Starting in XGBoost 1.3.0, the default evaluation metric used with the objective 'binary:logistic' was changed from 'error' to 'logloss'. Explicitly set eval_metric if you'd like to restore the old behavior.\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 353, "width": 425 } }, "output_type": "display_data" } ], "source": [ "ratio = y_train.value_counts()[0] / y_train.value_counts()[1] # Ratio of number of negative class to the positive class - Needed for XGB classifier\n", "xgb = XGBClassifier(random_state=random_state)\n", "\n", "param_grid = {\n", " 'n_estimators': [50],\n", " 'learning_rate': [0.001, 0.01],\n", " 'max_depth': [6], # default=6\n", " 'reg_alpha': [10],\n", " 'reg_lambda': [10],\n", " 'subsample': [0.5, 0.75],\n", " 'colsample_bytree': [0.50, 0.75],\n", " 'gamma': [0.1, 1, 10],\n", " 'min_child_weight': [1, 2],\n", " 'scale_pos_weight': [ratio, 5]\n", "}\n", "\n", "xgb_clf = GridSearchCV(estimator=xgb,\n", " param_grid=param_grid,\n", " scoring=scoring_metric,\n", " cv=cv,\n", " verbose=False,\n", " n_jobs=-1)\n", "\n", "best_xgb_clf = xgb_clf.fit(X_train, y_train)\n", "clf_performance(best_xgb_clf, 'XGBoost Classifier', 'XGB', cv)" ] }, { "cell_type": "markdown", "id": "0fcf5271", "metadata": {}, "source": [ "
\n", "\n", "### LGBMClassifier" ] }, { "cell_type": "code", "execution_count": 45, "id": "c7130af5", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T16:12:05.105864Z", "start_time": "2022-03-31T16:11:53.603906Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[LightGBM] [Warning] feature_fraction is set=0.75, colsample_bytree=1.0 will be ignored. Current value: feature_fraction=0.75\n", "\n", " LGBMClassifier\n", "-------------------------------\n", " Best Score (roc_auc): 0.866\n", " Best Parameters: \n", " class_weight: {0: 0.35, 1: 0.65}\n", " feature_fraction: 0.75\n", " is_unbalance: True\n", " learning_rate: 0.01\n", " max_depth: 10\n", " min_child_samples: 5\n", " n_estimators: 100\n", " num_leaves: 20\n", " reg_alpha: 0.1\n", " reg_lambda: 0.1\n", " subsample: 0.75\n", "[LightGBM] [Warning] feature_fraction is set=0.75, colsample_bytree=1.0 will be ignored. Current value: feature_fraction=0.75\n", "[LightGBM] [Warning] feature_fraction is set=0.75, colsample_bytree=1.0 will be ignored. Current value: feature_fraction=0.75\n", "[LightGBM] [Warning] feature_fraction is set=0.75, colsample_bytree=1.0 will be ignored. Current value: feature_fraction=0.75\n", "[LightGBM] [Warning] feature_fraction is set=0.75, colsample_bytree=1.0 will be ignored. Current value: feature_fraction=0.75\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 353, "width": 425 } }, "output_type": "display_data" } ], "source": [ "lgbm = LGBMClassifier(random_state=random_state)\n", "\n", "param_grid = {\n", " 'max_depth': [10],\n", " 'num_leaves': [20],\n", " 'learning_rate': [0.01],\n", " 'n_estimators': [100],\n", " 'feature_fraction': [0.75],\n", " 'subsample': [0.75],\n", " 'min_child_samples': [5, 10],\n", " 'reg_alpha': [0.1, 0.5],\n", " 'reg_lambda': [0.1, 0.5],\n", " 'is_unbalance': [True],\n", " 'class_weight': ['balanced', {0: 0.35, 1: 0.65}]\n", "}\n", "\n", "lgbm_clf = GridSearchCV(estimator=lgbm,\n", " param_grid=param_grid,\n", " scoring=scoring_metric,\n", " cv=cv,\n", " verbose=False,\n", " n_jobs=-1)\n", "\n", "best_lgbm_clf = lgbm_clf.fit(X_train, y_train)\n", "clf_performance(best_lgbm_clf, 'LGBMClassifier', 'LGBM', cv)" ] }, { "cell_type": "markdown", "id": "73f89eec", "metadata": {}, "source": [ "
\n", "\n", "### Ensemble Learning\n", "\n", "We can combine the predictions of all these classifiers to determine if we get better predictive performance compared to each individual constituent classifier. This practice is the main motivation behind Ensemble Learning.\n", "\n", "Specifically, we will use **Soft Voting**. In this case, every individual classifier provides a probability value that a specific data point belongs to a particular target class. The predictions are weighted by the classifier's importance and summed up. Then the target label with the greatest sum of weighted probabilities wins the vote." ] }, { "cell_type": "code", "execution_count": 46, "id": "8da11df7", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T16:12:11.994685Z", "start_time": "2022-03-31T16:12:05.105864Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Soft Voting\n", "-------------------------------\n", " Best Score (roc_auc): 0.859\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 355, "width": 425 } }, "output_type": "display_data" } ], "source": [ "estimators = [('LR', best_lr_clf.best_estimator_),\n", "# ('SVC', best_svc_clf.best_estimator_),\n", " ('RF', best_rf_clf.best_estimator_),\n", " ('BRF', best_brf_clf.best_estimator_),\n", "# ('GBC', best_gbc_clf.best_estimator_),\n", " ('XGB', best_xgb_clf.best_estimator_),\n", " ('LGBM', best_lgbm_clf.best_estimator_)]\n", "\n", "tuned_voting_soft = VotingClassifier(estimators=estimators[1:],\n", " voting='soft',\n", " n_jobs=-1)\n", "\n", "y_pred_pp = cross_val_predict(tuned_voting_soft,\n", " X_train,\n", " y_train,\n", " cv=cv,\n", " method='predict_proba')[:, 1]\n", "y_pred = y_pred_pp.round()\n", "\n", "cm = confusion_matrix(y_train, y_pred, normalize='true')\n", "fpr, tpr, _ = roc_curve(y_train, y_pred_pp)\n", "comparison_dict['SVot'] = [\n", " precision_score(y_train, y_pred),\n", " recall_score(y_train, y_pred),\n", " roc_auc_score(y_train, y_pred_pp), fpr, tpr\n", "]\n", "\n", "print('Soft Voting\\n-------------------------------')\n", "print(' Best Score ({}): '.format(scoring_metric),np.round(roc_auc_score(y_train, y_pred_pp), 3))\n", "\n", "fig, ax = plt.subplots(figsize=(6, 5))\n", "\n", "plot_conf_mx(cm, ax)" ] }, { "cell_type": "markdown", "id": "fff70b00", "metadata": {}, "source": [ "
\n", "\n", "# Results\n", "\n", "## Feature Importance\n", "\n", "Some classifiers allow us to visualise feature importance, i.e. how useful a feature is in predicting the target variable. " ] }, { "cell_type": "code", "execution_count": 47, "id": "136f865c", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T16:12:12.743364Z", "start_time": "2022-03-31T16:12:11.994685Z" } }, "outputs": [ { "data": { "image/png": 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2Efbrr78aD4QVLlxYL774YqI6AQEBZiO/3n77bYvi8PDwULly5XTjxg2Fhobq6NGjqY7CMtWjRw99+OGHCg8P18aNG/X555+rQIECkqTAwEBt3rxZkpQnT55kf9bJiYmJMUvMWfqeypcvryZNmmjfvn2KjY3Vnj17VKFChRSP6devn9nU3klp2LChWRJw4MCBKdbPmzevateubczAcPHiRYvif/7551W5cuUU6+TLl0/9+/c3Hv7bsWNHov5KVn5+3bt3t0kiF8hqWXU/w/0TkDSuDaQFI5+QbbVu3TrJf02aNFHZsmUlScHBwZo/f74aNmyoKVOmWLy48unTp/Xdd99p7NixGjx4sF599VV169bN7F9oaKhR33RdKWvIrPObPr2ZnPz585stypxwgWdJiRaIzuh0d6btNWvWLNVOZbyyZcsaa2NFRUXp7NmzGYoDAAAgJ6lfv74xiiEwMFB9+vTRpUuXMtyu6UiYtm3bqlixYknWc3R0VPfu3ZM8LiHT+708efIkmZzJbrp27Wo8wBYaGqoNGzYkW9c0gfDKK68k+cDXwYMHjf5IsWLF0jS9nWndkydPWnycFJcMe+mllyTFre2zfv1647V169YZo246dOiQ5gfKzp8/r8DAQElxa2W1aNHC4mPT+p6eeeaZVOuUKFHC2HZ0dLRobVzTY+LfS2pSGk1lqn379sZ2VFSUTp8+bfZ6Vn5+Hh4eFrcNAACQFRj5hGwrfqHh5Hh7e2v+/Pn6/vvvjWk+fH19tWDBgmSP2bp1q6ZOnWrxE2/xkkrQpEdmn9+0Y5WS/Pnzy8/PT5LMklzxTOMrWrSokexLr/Pnzxvbx48fV7du3Sw+Njw83NiOX/MAAADgSVCmTBl1795da9askRS3dk+jRo1Uu3ZttWrVSo0aNVKjRo1UvHhxi9sMCAgwRsJIyU8fF69Pnz767rvvJEmHDx/W5cuXk3zS1fT+sWbNmqmOxs8OXFxc9OKLLxrTea9evVp9+/ZNVO/s2bNm97PJfWamdcLDw9N0z+vp6Wlsp+eet2/fvkbS6eeff9Zrr70myTxhmNR7S43pe3JwcDDatcS1a9eMbUvekyV9GdNpwF1dXS16qM30mKT6PkmpUaOGRfWeeuop2dnZGVMtXrlyRU2aNDFez8rPr3z58ha3DQAAkBVIPiHHcnd31xdffKEiRYpoxowZkuI6Vy+99JLx5J+padOmpWnxXlOmCZD0yorzp6eTH99RMhUQEGBsJ/ckbFr4+/sb297e3vL29k5XO8HBwRmOBQAAICf56quv5O/vr507dxr7zp49azYivHr16urUqZNee+01lSlTJsX2fv31V+Pe0tXVVS+88EKK9evVq6caNWoYyZEVK1Zo6tSpiepZ+/4xq/Tu3dtIPu3fv18+Pj5m6/hI5qOeqlSpooYNGybZluk9b3BwsNnPLC3Sc8/7/PPPq0yZMrp165YOHTqkq1evKjw83BgxU6ZMGbVq1SrN7Zq+p8jIyEx9T2mdpjE90zom1fdJiqurq0X18ubNKycnJ2M9tIQjq7Ly8ytYsGC62gYAAMgsTLuHHG/06NFm00d88803ieps2bLFLPFTunRpTZgwQRs2bNCpU6fk4+MjPz8/BQYGGv8yOtonO50/rUyTXdZYS8vSJwxTY+m0igAAAI+LAgUKaN26dVq+fLlatmyZ5EgPLy8vzZw5Uw0aNNCMGTNSvGcyHQnz4MEDPfXUU6pYsWKK/0zXclq9erWioqIStWvt+8es0rp1a2PkWGxsrH755Rez16Ojo7V27Vqj3KtXr2TbsuU9r729vVlsK1eu1PLly41y7969ZW+f9u7/k3ofn5aH+kzrRkREmL2WlZ9f/BSdAAAA2QUjn5Dj5cmTRw0bNtSOHTskxU0HEhkZafYk3BdffGFsN2jQQOvXrzfWEkpO/NNr1mDr86eVaTLPGqONTN/rsGHDNHPmzAy3CQAA8CTp2LGjOnbsqAcPHujQoUM6fPiwDhw4oKNHjxrJoPDwcM2YMUNhYWFJjk46deqU2YipyMhIs5EZlrh79662b9+eaKYBa98/ZhUHBwd169bNeIDtl19+0dixY43Xd+3apbt370qKS/D07Nkz2bZM73lr1qyZaB3VzNa3b1/NmjVLkrRq1SpFRkaavZYepu+pYMGC6Z7BIKd58OBBuuomHH30pH5+AAAAEiOf8JgoXLiwsR0REWHWifb19dWpU6eM8pQpUyxK/FhrnSdbnz89TOdb9/HxMRYpTi/TdQju37+fobYAAACeZAUKFFDbtm01efJkbdu2TVeuXNGMGTPMkj8LFy7UzZs3Ex1rOuopI0xH1MQzvX+8cuWKVc6TVUzXcLp06ZJOnDhhlE2n3GvWrFmiKflM2fqet2LFisZ6Q7dv3zbWCfLw8FCFChXS1abpewoODlZYWFjGA80Bbty4YVG9W7dumSX5Eq6/9qR+fgAAABLJJzwmTOeYl+Lm3o7n4+Nj9trTTz+dantHjhyx2tQQtj5/ejRq1MjYjoiI0OHDhzPU3rPPPmtsHzlyJENtAQAA4P+5uLjozTff1JIlS4x9UVFR2rNnj1m9R48eac2aNUZ54sSJZlM+p/Zv6dKlxrF//fWX7t27Z9a+6f2jj4+Prl+/nuH3ZjpNnKVr9aRHnTp1VKNGDaO8atUqSXEjWrZs2WLsN01SJcX0nvfevXtW+QzSql+/fhbts5Tpz1WSjh49mu62cpLjx49bVO/YsWNm5bp165qVn9TPDwAAQCL5hMdAeHi42U2/i4uL2cgi0yfRLJXU05zpZevzp0e9evVUpEgRo/zTTz9lqL02bdoY2z4+Ptq1a1eG2gMAAIC5li1bmk35lTA5tGnTJrOR9d26dUtT++3atZOzs7OkuORWfIImXvPmzc2mvf7xxx/T1H5S8ufPb2xndCR+akwTS7/99psiIyP1+++/GyNVnJyc1KlTpxTbaNCggVxdXY2yLe7pu3TpYvycpLiRcp07d053e6VKlVKtWrWMsq37KVll/fr1io6OTrWeaULXzc1N5cuXN3v9Sf38AAAAJJJPeAx89dVXCgwMNMrt2rUze71kyZJm5YMHD6bY3p49e/T7779bKzybnz89HBwcNHToUKO8YcMGbd26Nd3t1alTRy1btjTKEyZMsOm0ggAAADlBWkb7hIeHG2s/SebTUkvmU+7VrFlTVatWTVMs+fLl0wsvvGCUV65cafZ60aJF1aNHD6P87bffmk09nR6m99FXr17NUFupefXVV5UrVy5Jkp+fn7Zv32425V7Hjh3l5OSUYhsODg4aMWKEUf7mm290+vTpzAk4GU5OTrpx44Z8fX3l6+ur69evpxp3at555x1je926ddq+fXtGw8z2vL29U30A78iRI2Yj45IbYfYkfn4AAAASySfkYDdv3tT48eM1c+ZMY1/u3Lk1ZswYs3ply5Y1m+P8ww8/THZh5X379ql///5WndbD1udPrzfffNNsTvvBgwdr7dq1KR7j5+enuXPnJvnaxx9/bEyHePnyZXXo0EGXLl1KNQ5vb2998sknmjRpUhqiBwAAyPnmzJmjd999V+fPn0+17vTp0xUaGmqUn3vuOWP7+vXr2rt3r1FO66ineK+88oqxfenSJR06dMjs9QkTJhijryIjI9W1a1ft3r07xTZ9fHz03XffJflavXr1jO1z586l2lZGlChRQq1atTLKs2fPNntoLLUp9+INGzZMlSpVkiSFhoaqa9eu+vPPP1M9LjAwUD/++KO6du2axsgTy5UrlxwcHOTg4GAk1DKie/fuaty4sSQpJiZGAwcO1IoVK1Lts4SGhurXX39VixYtMhyDLUyePDnZn93Fixf12muvGZ9B4cKFNWTIkCTrPqmfHwAAgIOtAwCSk1ynODQ0VP/991+iRWDt7Oz01Vdf6amnnkp0zFtvvaWxY8dKki5cuCAPDw8NGTJEDRs2VO7cuXXz5k1t3bpVmzdvVmxsrNq1aydPT89E6zWll63Pnx4uLi5asmSJOnbsqLCwMD169Eivv/66vvnmG3Xu3FlPPfWUChQooODgYF26dEn79+/Xrl27lDdvXr377ruJ2qtTp47mz5+vYcOGKSYmRufOnVPjxo3Vvn17Pf/886pQoYKcnZ318OFD3b17V+fOndPBgweNp0Ut7fADAAA8Lh49eqSlS5dq6dKlqlatmlq0aKE6deqoVKlScnJyUkhIiC5cuKDffvvNbI2abt26qXLlykZ55cqVZl90myaR0qJNmzYqWLCggoODJcWNpor/Ul2Sypcvr4ULF2rgwIGKjo5WQECAunTpohYtWuill15S5cqVlS9fPgUGBsrLy0t79uzR/v37VaNGDb3xxhuJzte8eXOVLFlSd+7cUWxsrLp06aIaNWrIzc1NDg7/35WdPHmy2ZpN6dW7d2/t2LFDkvlaPm5ubmrevLlFbRQoUEA///yz2rdvr8DAQPn7+6tnz55q0KCBXnrpJdWsWVMuLi4KDw+Xv7+/vLy8dOzYMe3fv1+RkZEqW7Zsht+Htdnb22vZsmVq3bq1bt68qdDQUL311luaP3++OnXqpLp168rV1VWRkZEKDAzUpUuXdPz4ce3du9csIZqTdO/eXWvXrlXPnj3VuXNnvfzyyypdurQCAgK0e/durVixwmwqyM8//1zFihVLsq0n8fMDAACQSD4hG9u5c6fFdcuXL69Zs2apdevWSb4+ePBg7dmzRxs3bpQk3blzR59++mmSdevWravvvvvO7GnRjLL1+dOrYcOG2rJli3r37q27d+9Kilt8N6UFeONHNyWlR48eKlSokIYOHaqgoCDFxMRo27Zt2rZtm9VjBwAAeJxcvHhRFy9eTLVeixYtNGfOHKMcExNjtj5TgwYNEq1LYylHR0e9/PLL+vnnnyVJv//+u2bMmGG2xlDHjh21atUqDRkyRA8ePJAUN630nj170ny+3Llz6+uvv1a/fv2ML+E9PT3l6elpVm/48OHpej8JdejQwSy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" ] }, "metadata": { "image/png": { "height": 704, "width": 847 } }, "output_type": "display_data" } ], "source": [ "colors_fi = ['steelblue', 'darkgray', 'cadetblue', 'bisque']\n", "\n", "fig = plt.subplots(2, 2, figsize=(12, 10))\n", "\n", "for i, (name, clf) in enumerate(zip(['RF', 'GBC', 'XGB', 'LGBM'],\n", " [best_rf_clf, best_gbc_clf, best_xgb_clf, best_lgbm_clf])):\n", "\n", " fi = pd.DataFrame({\n", " 'Feature': X_train.columns,\n", " 'Importance': clf.best_estimator_.feature_importances_\n", " }).sort_values('Importance', ascending=True).set_index('Feature')\n", "\n", " ax = plt.subplot(2, 2, i + 1)\n", "\n", " fi.plot.barh(color=colors_fi[i],\n", " edgecolor=edgecolor,\n", " legend=False,\n", " ax=ax)\n", "\n", " ax.set_title(name)\n", " ax.set(xlabel='Importance', ylabel='')\n", "\n", "plt.tight_layout();" ] }, { "cell_type": "markdown", "id": "0844ff0a", "metadata": {}, "source": [ "The first three classifiers ('RF', 'GBC', and 'XGB') display similar behaviour: 'Age' and 'NumOfProducts' seem like the most useful features, followed by 'IsActiveMember'. On the other hand, 'CreditScore' is the least important feature with a small value close to zero.\n", "\n", "In contrast, 'Balance' is the most important feature for the LGBM model, followed by 'Age'. For the same classifier, 'CreditScore' is placed in the middle of the leaderboard.\n", "\n", "
\n", "\n", "## Performance Comparison\n", "\n", "Initially, we can compare the performance of our classifiers in terms of three individual metrics (Precision, recall, and area under the ROC curve):" ] }, { "cell_type": "code", "execution_count": 48, "id": "656edf35", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T16:12:12.912606Z", "start_time": "2022-03-31T16:12:12.743364Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
 PrecisionRecallAUC
LR0.3970.6940.772
SVC0.6980.5060.860
RF0.5030.7230.853
BRF0.4980.7430.852
GBC0.8280.3720.859
XGB0.4570.7960.856
LGBM0.4680.7920.865
SVot0.4960.7580.859
\n" ], "text/plain": [ "" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "comparison_matrix = {}\n", "for key, value in comparison_dict.items():\n", " comparison_matrix[str(key)] = value[0:3]\n", "\n", "comparison_df = pd.DataFrame(comparison_matrix,\n", " index=['Precision', 'Recall', 'AUC']).T\n", "comparison_df.style.highlight_max(color='indianred', axis=0).format('{:.3f}')" ] }, { "cell_type": "code", "execution_count": 49, "id": "b1e1b338", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T16:12:13.175614Z", "start_time": "2022-03-31T16:12:12.912606Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 349, "width": 788 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12, 5))\n", "\n", "comparison_df.plot(kind='bar',\n", " fontsize=12,\n", " color=['#5081DE', '#424656', '#D85870'],\n", " edgecolor=edgecolor,\n", " ax=ax)\n", "\n", "ax.legend(loc='upper center',\n", " fontsize=font_size - 6,\n", " ncol=len(comparison_df.columns),\n", " bbox_to_anchor=(0.5, 1.12))\n", "\n", "ax.set_ylim([0, 1])\n", "\n", "ax.xaxis.set_tick_params(which='major', rotation=0)\n", "ax.set_yticks([0, 0.5, 1])\n", "\n", "ax.axhline(y=0.80, color='red', linestyle='--')\n", "ax.text(x=-0.5, y=0.83, s='0.80', size=font_size + 2, color='red')\n", "\n", "ax.spines['right'].set_visible(False)\n", "ax.spines['top'].set_visible(False);" ] }, { "cell_type": "markdown", "id": "4c93231e", "metadata": {}, "source": [ "
\n", "\n", "Apart from Logistic Regression, all other classifiers have an AUC score higher than 0.80 (baseline performance). The **LGBM model** has the **highest AUC score** (**0.865**). However, apart from the GBC model, almost all classifiers display a **similar performance** with an AUC score around 0.860 (and similar scores for the other three metrics).\n", "\n", "Using single metrics is not the only way of comparing the predictive performance of classification models. The ROC curve (Receiver Operating Characteristic curve) is a graph showing the performance of a classifier at different classification thresholds. It plots the true positive rate (another name for recall) against the false positive rate." ] }, { "cell_type": "code", "execution_count": 50, "id": "9232246a", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T16:12:13.614422Z", "start_time": "2022-03-31T16:12:13.175614Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 371, "width": 728 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10, 5))\n", "\n", "for index, key in enumerate(comparison_dict.keys()):\n", " if key == 'SVot': continue\n", "\n", " auc = comparison_dict[key][2]\n", " fpr, tpr = comparison_dict[key][3], comparison_dict[key][4]\n", " \n", " ax.plot(fpr,\n", " tpr,\n", " color=colors_comp[index],\n", " label='{}: {}'.format(key, np.round(auc, 3)))\n", "\n", "ax.plot([0, 1], [0, 1], 'k--', label='Baseline')\n", "\n", "ax.set(title='ROC Curve',\n", " xlabel='False Positive Rate',\n", " ylabel='False Positive Rate')\n", "\n", "ax.set_xticks([0, 0.25, 0.5, 0.75, 1])\n", "ax.set_yticks([0, 0.25, 0.5, 0.75, 1])\n", "\n", "ax.autoscale(axis='both', tight=True)\n", "ax.legend(fontsize=font_size - 6);" ] }, { "cell_type": "markdown", "id": "e1f8e11a", "metadata": {}, "source": [ "The dashed diagonal line represents a purely random classifier; a good classifier stays as far away from that line as possible (toward the top-left corner). In our case, all classifiers, apart from Logistic Regression, perform similarly.\n", "\n", "
\n", "\n", "Recently, I came across another tool for assessing the performance of a classifier model. Simply put, a Cumulative Gain shows the percentage of targets reached when considering a certain percentage of the population with the highest probability to be targeted according to the model (see [here](https://towardsdatascience.com/meaningful-metrics-cumulative-gains-and-lyft-charts-7aac02fc5c14) and [here](http://mlwiki.org/index.php/Cumulative_Gain_Chart)). The `scikitplot` library offers an easy way of plotting this chart:" ] }, { "cell_type": "code", "execution_count": 51, "id": "9e5c436a", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T16:12:53.447052Z", "start_time": "2022-03-31T16:12:13.614422Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[LightGBM] [Warning] feature_fraction is set=0.75, colsample_bytree=1.0 will be ignored. Current value: feature_fraction=0.75\n", "[LightGBM] [Warning] feature_fraction is set=0.75, colsample_bytree=1.0 will be ignored. Current value: feature_fraction=0.75\n", "[LightGBM] [Warning] feature_fraction is set=0.75, colsample_bytree=1.0 will be ignored. Current value: feature_fraction=0.75\n", "[LightGBM] [Warning] feature_fraction is set=0.75, colsample_bytree=1.0 will be ignored. Current value: feature_fraction=0.75\n", "[LightGBM] [Warning] feature_fraction is set=0.75, colsample_bytree=1.0 will be ignored. Current value: feature_fraction=0.75\n" ] }, { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 430, "width": 711 } }, "output_type": "display_data" } ], "source": [ "y_pred = cross_val_predict(best_lgbm_clf,\n", " X_train,\n", " y_train,\n", " cv=cv,\n", " method='predict_proba')\n", "\n", "fig, ax = plt.subplots(figsize=(10, 6))\n", "\n", "skplt.metrics.plot_cumulative_gain(y_train, y_pred, ax=ax)\n", "\n", "ax.plot([0.5, 0.5], [0, 0.89], color='firebrick', lw=3)\n", "ax.plot([0.0, 0.5], [0.88, 0.89], color='firebrick', lw=3)\n", "\n", "ax.set_title('LGBM - Cumulative Gains Curve', size=font_size)\n", "ax.set_xlabel('Percentage of Sample', size=font_size)\n", "ax.set_xticks([0, 0.2, 0.4, 0.6, 0.8, 1.0])\n", "ax.set_xticklabels([0, 0.2, 0.4, 0.6, 0.8, 1.0], fontsize=font_size - 2)\n", "\n", "ax.set_ylabel('Gain', size=font_size)\n", "ax.set_yticks([0, 0.2, 0.4, 0.6, 0.8, 1.0])\n", "ax.set_yticklabels([0, 0.2, 0.4, 0.6, 0.8, 1.0], fontsize=font_size - 2)\n", "\n", "ax.text(0.15, 0.90, '89%', size=font_size, color='firebrick')\n", "ax.legend(fontsize=font_size - 4);" ] }, { "cell_type": "markdown", "id": "58887310", "metadata": {}, "source": [ "This chart shows that if we target 50% of the customers most likely to churn (according to the model), the model will pick 89% of customers who will actually churn, while the random pick would pick only 50% of the targets." ] }, { "cell_type": "markdown", "id": "eb544114", "metadata": {}, "source": [ "
\n", "\n", "---\n", "\n", "# Evaluating the Test Set\n", "\n", "An integral part of any ML project is testing our models on unseen data. For this purpose, we will use the AUC score and compare the training and test set performance for all tuned models. " ] }, { "cell_type": "code", "execution_count": 52, "id": "18716681", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T16:12:55.497225Z", "start_time": "2022-03-31T16:12:53.447052Z" } }, "outputs": [ { "data": { "text/html": [ "
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AUC-TrainAUC-TestDiff. %
LR0.7720.7670.657
SVC0.8600.8501.194
RF0.8530.8431.191
BRF0.8520.8431.030
GBC0.8590.8471.331
XGB0.8560.8550.116
LGBM0.8650.8580.829
SVot0.8590.8520.858
\n", "
" ], "text/plain": [ " AUC-Train AUC-Test Diff. %\n", "LR 0.772 0.767 0.657\n", "SVC 0.860 0.850 1.194\n", "RF 0.853 0.843 1.191\n", "BRF 0.852 0.843 1.030\n", "GBC 0.859 0.847 1.331\n", "XGB 0.856 0.855 0.116\n", "LGBM 0.865 0.858 0.829\n", "SVot 0.859 0.852 0.858" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "train_auc_dict = {}\n", "for key, value in comparison_dict.items():\n", " train_auc_dict[str(key)] = value[2]\n", "\n", "test_auc_dict = {}\n", "for i, (name, clf) in enumerate(\n", " zip(['LR', 'SVC', 'RF', 'BRF', 'GBC', 'XGB', 'LGBM', 'SVot'], [\n", " best_lr_clf.best_estimator_, best_svc_clf.best_estimator_,\n", " best_rf_clf.best_estimator_, best_brf_clf.best_estimator_,\n", " best_gbc_clf.best_estimator_, best_xgb_clf.best_estimator_,\n", " best_lgbm_clf.best_estimator_,\n", " tuned_voting_soft.fit(X_train, y_train)\n", " ])):\n", "\n", " y_pred = clf.predict_proba(X_test)[:, 1]\n", " test_auc_dict[name] = roc_auc_score(y_test, y_pred)\n", "\n", "auc_comparison_df = pd.merge(pd.Series(train_auc_dict, name='AUC-Train'),\n", " pd.Series(test_auc_dict, name='AUC-Test'),\n", " left_index=True,\n", " right_index=True)\n", "\n", "auc_comparison_df['Diff. %'] = 100 * (\n", " auc_comparison_df['AUC-Train'] - auc_comparison_df['AUC-Test']) / auc_comparison_df['AUC-Train']\n", "auc_comparison_df" ] }, { "cell_type": "markdown", "id": "c6aa7961", "metadata": {}, "source": [ "The performance on the test set for all models is fairly similar to the training set, which proves that we **do not overfit the training set**. Therefore, we can predict customer churn with an AUC approximately equal to **86%**." ] }, { "cell_type": "markdown", "id": "45ea41ef", "metadata": {}, "source": [ "
\n", "\n", "---\n", "\n", "# Calculating Profit\n", "\n", "We assume that the bank intends to invest £1,000 in services and offers for each customer likely to churn. If the customer remains, the bank expects a return approximately five times the initial investment, hence £5,000. We can write a function that calculates the total profit for our predictions (Ref. [[7](#References)])." ] }, { "cell_type": "code", "execution_count": 53, "id": "1deb7113", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T16:12:55.512846Z", "start_time": "2022-03-31T16:12:55.497225Z" } }, "outputs": [], "source": [ "def calculate_profit(y_true, y_pred, **kwargs):\n", " tp = np.where((y_pred == 1) & (y_true == 1), (5000 - 1000), 0)\n", " fp = np.where((y_pred == 1) & (y_true == 0), -1000, 0)\n", "\n", " return np.sum([tp, fp])\n", "\n", "\n", "profit = make_scorer(calculate_profit, greater_is_better=True)" ] }, { "cell_type": "code", "execution_count": 54, "id": "060fbd4e", "metadata": { "ExecuteTime": { "end_time": "2022-03-31T16:12:57.585187Z", "start_time": "2022-03-31T16:12:55.512846Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
 Profit-Test
GNB456000
LR677000
SCV882000
RF830000
BRF825000
GBC530000
XGB890000
LGBM900000
Ensemble847000
\n" ], "text/plain": [ "" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "estimators = [('GNB', GaussianNB().fit(X_train, y_train)),\n", " ('LR', best_lr_clf.best_estimator_),\n", " ('SCV', best_svc_clf.best_estimator_),\n", " ('RF', best_rf_clf.best_estimator_),\n", " ('BRF', best_brf_clf.best_estimator_),\n", " ('GBC', best_gbc_clf.best_estimator_),\n", " ('XGB', best_xgb_clf.best_estimator_),\n", " ('LGBM', best_lgbm_clf.best_estimator_),\n", " ('Ensemble', tuned_voting_soft.fit(X_train, y_train))]\n", "\n", "profit_test = []\n", "for estimator in estimators:\n", "\n", " y_pred = estimator[1].predict(X_test)\n", " profit_test.append(calculate_profit(y_test, y_pred))\n", "\n", "profit_df = pd.DataFrame(data={'Profit-Test': profit_test},\n", " index=[est[0] for est in estimators])\n", "\n", "profit_df.style.highlight_max(color='indianred', axis=0)" ] }, { "cell_type": "markdown", "id": "facb6770", "metadata": {}, "source": [ "The **LGBM classifier**, the classifier with the highest AUC score, yields the **highest profit, around £900,000**! This amount is **almost double** the profit we would get with the baseline Gaussian Naive Bayes classifier." ] }, { "cell_type": "markdown", "id": "4eb98490", "metadata": {}, "source": [ "
\n", "\n", "---\n", "\n", "\n", "# References\n", "\n", "The main resources I used are the following two books:\n", "\n", "**[1] [Hands-On Machine Learning with Scikit-Learn, Keras, and TensorFlow, 2nd Edition](https://www.oreilly.com/library/view/hands-on-machine-learning/9781492032632/), by Aurélien Géron (2019)**\n", "\n", "**[2] [Practical Statistics for Data Scientists, 2nd Edition](https://www.oreilly.com/library/view/practical-statistics-for/9781492072935/), by Peter Bruce, Andrew Bruce, and Peter Gedeck (2020)**\n", "\n", "
\n", "\n", "The following resources also helped me in my analysis:\n", "\n", "[3] [Bank Customer Churn](https://rstudio-pubs-static.s3.amazonaws.com/565148_6e82a5c320f14869bf63e23bcf59ce9b.html), by Zicheng Shi (same dataset but analysis in R) (Accessed: 21 December 2020)\n", "\n", "[4] [Metrics and scoring: quantifying the quality of predictions](https://scikit-learn.org/stable/modules/model_evaluation.html) on [scikit-learn.org](https://scikit-learn.org/stable/modules/model_evaluation.html) (Accessed: 20 December 2020)\n", "\n", "[5] [Easy Guide To Data Preprocessing In Python](https://www.kdnuggets.com/2020/07/easy-guide-data-preprocessing-python.html), by [Ahmad Anis](https://www.kdnuggets.com/author/ahmad-anis) (Accessed: 20 December 2020)\n", "\n", "[6] [Meaningful Metrics: Cumulative Gains and Lyft Charts](https://towardsdatascience.com/meaningful-metrics-cumulative-gains-and-lyft-charts-7aac02fc5c14), by [Raffi Sahakyan](https://medium.com/@raffisahakyan) (Accessed: 20 December 2020)\n", "\n", "[7] [Predict Customer Churn (the right way) using PyCaret](https://towardsdatascience.com/predict-customer-churn-the-right-way-using-pycaret-8ba6541608ac), by [Moez Ali](https://moez-62905.medium.com/) (Accessed: 08 December 2021)\n", "\n", "[8] [Bagging and Random Forest for Imbalanced Classification](https://machinelearningmastery.com/bagging-and-random-forest-for-imbalanced-classification/) by [Jason Brownlee](https://machinelearningmastery.com/about/) (Accessed: 06 December 2021)\n", "\n", "[9] [8 Tactics to Combat Imbalanced Classes in Your Machine Learning Dataset](https://machinelearningmastery.com/tactics-to-combat-imbalanced-classes-in-your-machine-learning-dataset/) by [Jason Brownlee](https://machinelearningmastery.com/about/) (Accessed: 12 December 2021)\n", "\n", "
\n", "\n", "If you would like to read more about customer churn:\n", "\n", "[10] [Churn Rate](https://www.investopedia.com/terms/c/churnrate.asp), by [Jake Frankenfield](https://www.investopedia.com/contributors/82577/) on [Investopedia](https://www.investopedia.com/) (Accessed: 15 December 2020)\n", "\n", "[11] [Customer attrition](https://en.wikipedia.org/wiki/Customer_attrition) on [Wikipedia](https://en.wikipedia.org/wiki/Main_Page) (Accessed: 15 December 2020)\n", "\n", "[12] [A Survey on Churn Prediction Techniques in Communication Sector](http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.278.4171&rep=rep1&type=pdf), by N.Kamalraj and A.Malathi (Accessed: 15 December 2020)\n", "\n", "[13] [Customer Attrition](https://www.optimove.com/resources/learning-center/customer-attrition) on [optimove](https://www.optimove.com/resources/learning-center/customer-attrition) (Accessed: 15 December 2020)" ] }, { "cell_type": "markdown", "id": "e2d6dade", "metadata": {}, "source": [ "
\n", "\n", "# Conclusions\n", "\n", "Our notebook just came to an end! Our final report to the bank should be based on two main points:\n", "\n", "- **EDA** can help us identify which features contribute to customer churn. Additionally, **feature importance** analysis can quantify the importance of each feature in predicting the likelihood of churn. Our results reveal that the most significant feature is **age** (older customers are more likely to churn), followed by the **number of products** (having more products increases a customer’s likelihood to churn). The bank could use our findings to adapt and improve its services to increase satisfaction for those customers more likely to churn.\n", "\n", "
\n", "\n", "- We can build several **ML models** using the pre-processed dataset. The best-performing model with an **AUC score of ~0.865** is the optimised model based on the **LGBM classifier**. The model was tested on unseen data. For a test set consisting of 2,000 customers, this model yields a **total profit of £900,000**! As a comparison, our baseline model (based on the Gaussian Naïve Bayes algorithm) produces a total profit of £456,000.\n", "\n", "
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