PythonStuff/Telco/Telco.ipynb

Telco.ipynb

{
  "cells": [
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "Customer retention is one of the most used business metrics because the difficulty to acquire a new customer is far greater than retaining an existing customer.\n\nObjectives:\n- Determine what's the most important cause of churn\n- Create a model that can predict the likelihood of a custmer churning"
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "# Notebook setup"
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "- Import the libraries used for data exploration and visualization\n- Disable warnings for a cleaner notebook\n- Disabling trunkating when printing dataframe\n- Disable scrolling inside output area to have full output all the time"
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:39.523445Z",
          "end_time": "2018-09-14T21:45:40.724258Z"
        },
        "scrolled": true,
        "trusted": true
      },
      "cell_type": "code",
      "source": "import pandas as pd\nimport matplotlib.pyplot as plt\nimport numpy as np\nimport re\nimport seaborn as sns\nfrom scipy import stats\nimport personal\n\n%matplotlib inline",
      "execution_count": 1,
      "outputs": []
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:40.725514Z",
          "end_time": "2018-09-14T21:45:40.727954Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "import warnings\nwarnings.filterwarnings('ignore')",
      "execution_count": 2,
      "outputs": []
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:40.729214Z",
          "end_time": "2018-09-14T21:45:40.733609Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "plt.style.use('seaborn')\n\n # Disable trunkating the middle of long dataframes. I want to see all the columns.\npd.set_option('display.max_colwidth', -1)\npd.set_option('display.max_columns', 500)",
      "execution_count": 3,
      "outputs": []
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:40.735127Z",
          "end_time": "2018-09-14T21:45:40.741432Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "%%javascript\nIPython.OutputArea.prototype._should_scroll = function(lines) {\n    return false;\n}",
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<IPython.core.display.Javascript object>",
            "application/javascript": "IPython.OutputArea.prototype._should_scroll = function(lines) {\n    return false;\n}"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "# Explore data"
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "In this step I get a feel for the data:\n- What kind of variables the dataframe has\n- Make sure all data is  represented correctly"
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:40.743833Z",
          "end_time": "2018-09-14T21:45:40.806659Z"
        },
        "scrolled": true,
        "trusted": true
      },
      "cell_type": "code",
      "source": "data = pd.read_csv(\"WA_Fn-UseC_-Telco-Customer-Churn.csv\")\n\ndef convert(name):\n    s1 = re.sub('(.)([A-Z][a-z]+)', r'\\1_\\2', name)\n    return re.sub('([a-z0-9])([A-Z])', r'\\1_\\2', s1).lower()\n\n# Convert column names to snake case, since some columns start with uppercase, others with lowercase letters. This will help with autocompletion.\ndata.columns = [convert(x) for x in data.columns]\n\ndata.head()",
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 5,
          "data": {
            "text/plain": "  customer_id  gender  senior_citizen partner dependents  tenure  \\\n0  7590-VHVEG  Female  0               Yes     No         1        \n1  5575-GNVDE  Male    0               No      No         34       \n2  3668-QPYBK  Male    0               No      No         2        \n3  7795-CFOCW  Male    0               No      No         45       \n4  9237-HQITU  Female  0               No      No         2        \n\n  phone_service    multiple_lines internet_service online_security  \\\n0  No            No phone service  DSL              No               \n1  Yes           No                DSL              Yes              \n2  Yes           No                DSL              Yes              \n3  No            No phone service  DSL              Yes              \n4  Yes           No                Fiber optic      No               \n\n  online_backup device_protection tech_support streaming_tv streaming_movies  \\\n0  Yes           No                No           No           No                \n1  No            Yes               No           No           No                \n2  Yes           No                No           No           No                \n3  No            Yes               Yes          No           No                \n4  No            No                No           No           No                \n\n         contract paperless_billing             payment_method  \\\n0  Month-to-month  Yes               Electronic check            \n1  One year        No                Mailed check                \n2  Month-to-month  Yes               Mailed check                \n3  One year        No                Bank transfer (automatic)   \n4  Month-to-month  Yes               Electronic check            \n\n   monthly_charges total_charges churn  \n0  29.85            29.85         No    \n1  56.95            1889.5        No    \n2  53.85            108.15        Yes   \n3  42.30            1840.75       No    \n4  70.70            151.65        Yes   ",
            "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>customer_id</th>\n      <th>gender</th>\n      <th>senior_citizen</th>\n      <th>partner</th>\n      <th>dependents</th>\n      <th>tenure</th>\n      <th>phone_service</th>\n      <th>multiple_lines</th>\n      <th>internet_service</th>\n      <th>online_security</th>\n      <th>online_backup</th>\n      <th>device_protection</th>\n      <th>tech_support</th>\n      <th>streaming_tv</th>\n      <th>streaming_movies</th>\n      <th>contract</th>\n      <th>paperless_billing</th>\n      <th>payment_method</th>\n      <th>monthly_charges</th>\n      <th>total_charges</th>\n      <th>churn</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>7590-VHVEG</td>\n      <td>Female</td>\n      <td>0</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>1</td>\n      <td>No</td>\n      <td>No phone service</td>\n      <td>DSL</td>\n      <td>No</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>Month-to-month</td>\n      <td>Yes</td>\n      <td>Electronic check</td>\n      <td>29.85</td>\n      <td>29.85</td>\n      <td>No</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>5575-GNVDE</td>\n      <td>Male</td>\n      <td>0</td>\n      <td>No</td>\n      <td>No</td>\n      <td>34</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>DSL</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>One year</td>\n      <td>No</td>\n      <td>Mailed check</td>\n      <td>56.95</td>\n      <td>1889.5</td>\n      <td>No</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>3668-QPYBK</td>\n      <td>Male</td>\n      <td>0</td>\n      <td>No</td>\n      <td>No</td>\n      <td>2</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>DSL</td>\n      <td>Yes</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>Month-to-month</td>\n      <td>Yes</td>\n      <td>Mailed check</td>\n      <td>53.85</td>\n      <td>108.15</td>\n      <td>Yes</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>7795-CFOCW</td>\n      <td>Male</td>\n      <td>0</td>\n      <td>No</td>\n      <td>No</td>\n      <td>45</td>\n      <td>No</td>\n      <td>No phone service</td>\n      <td>DSL</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>Yes</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>No</td>\n      <td>One year</td>\n      <td>No</td>\n      <td>Bank transfer (automatic)</td>\n      <td>42.30</td>\n      <td>1840.75</td>\n      <td>No</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>9237-HQITU</td>\n      <td>Female</td>\n      <td>0</td>\n      <td>No</td>\n      <td>No</td>\n      <td>2</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>Fiber optic</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>Month-to-month</td>\n      <td>Yes</td>\n      <td>Electronic check</td>\n      <td>70.70</td>\n      <td>151.65</td>\n      <td>Yes</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "## Data types"
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:40.808023Z",
          "end_time": "2018-09-14T21:45:40.822661Z"
        },
        "scrolled": false,
        "trusted": true
      },
      "cell_type": "code",
      "source": "data.info(null_counts=True)",
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "stream",
          "text": "<class 'pandas.core.frame.DataFrame'>\nRangeIndex: 7043 entries, 0 to 7042\nData columns (total 21 columns):\ncustomer_id          7043 non-null object\ngender               7043 non-null object\nsenior_citizen       7043 non-null int64\npartner              7043 non-null object\ndependents           7043 non-null object\ntenure               7043 non-null int64\nphone_service        7043 non-null object\nmultiple_lines       7043 non-null object\ninternet_service     7043 non-null object\nonline_security      7043 non-null object\nonline_backup        7043 non-null object\ndevice_protection    7043 non-null object\ntech_support         7043 non-null object\nstreaming_tv         7043 non-null object\nstreaming_movies     7043 non-null object\ncontract             7043 non-null object\npaperless_billing    7043 non-null object\npayment_method       7043 non-null object\nmonthly_charges      7043 non-null float64\ntotal_charges        7043 non-null object\nchurn                7043 non-null object\ndtypes: float64(1), int64(2), object(18)\nmemory usage: 1.1+ MB\n",
          "name": "stdout"
        }
      ]
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "total_charges is being represented as `object` instead of `float`. There's something fishy going on.\n\nThere are 11 observations without total_charges. But that's because their tenure is 0 months, they haven't been charged yet. I can just set the total charges to 0."
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:40.824067Z",
          "end_time": "2018-09-14T21:45:40.833210Z"
        },
        "scrolled": false,
        "trusted": true
      },
      "cell_type": "code",
      "source": "total_charges = pd.to_numeric(data.total_charges, errors='coerce')\nempty = total_charges[total_charges.isna()]\ntotal_charges[empty.index.values] = 0\ndata.total_charges = total_charges",
      "execution_count": 7,
      "outputs": []
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:40.834542Z",
          "end_time": "2018-09-14T21:45:40.849869Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "data.info(null_counts=True)",
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "stream",
          "text": "<class 'pandas.core.frame.DataFrame'>\nRangeIndex: 7043 entries, 0 to 7042\nData columns (total 21 columns):\ncustomer_id          7043 non-null object\ngender               7043 non-null object\nsenior_citizen       7043 non-null int64\npartner              7043 non-null object\ndependents           7043 non-null object\ntenure               7043 non-null int64\nphone_service        7043 non-null object\nmultiple_lines       7043 non-null object\ninternet_service     7043 non-null object\nonline_security      7043 non-null object\nonline_backup        7043 non-null object\ndevice_protection    7043 non-null object\ntech_support         7043 non-null object\nstreaming_tv         7043 non-null object\nstreaming_movies     7043 non-null object\ncontract             7043 non-null object\npaperless_billing    7043 non-null object\npayment_method       7043 non-null object\nmonthly_charges      7043 non-null float64\ntotal_charges        7043 non-null float64\nchurn                7043 non-null object\ndtypes: float64(2), int64(2), object(17)\nmemory usage: 1.1+ MB\n",
          "name": "stdout"
        }
      ]
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "Most of the columns are Yes/No/Other. senior_citizen is 0/1. Change that to Yes/No while I'm exploring the data."
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:40.851317Z",
          "end_time": "2018-09-14T21:45:40.874468Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "data.senior_citizen = list(map(lambda x: 'Yes' if x == 1 else 'No', data.senior_citizen))\ndata.head()",
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 9,
          "data": {
            "text/plain": "  customer_id  gender senior_citizen partner dependents  tenure phone_service  \\\n0  7590-VHVEG  Female  No             Yes     No         1       No             \n1  5575-GNVDE  Male    No             No      No         34      Yes            \n2  3668-QPYBK  Male    No             No      No         2       Yes            \n3  7795-CFOCW  Male    No             No      No         45      No             \n4  9237-HQITU  Female  No             No      No         2       Yes            \n\n     multiple_lines internet_service online_security online_backup  \\\n0  No phone service  DSL              No              Yes            \n1  No                DSL              Yes             No             \n2  No                DSL              Yes             Yes            \n3  No phone service  DSL              Yes             No             \n4  No                Fiber optic      No              No             \n\n  device_protection tech_support streaming_tv streaming_movies  \\\n0  No                No           No           No                \n1  Yes               No           No           No                \n2  No                No           No           No                \n3  Yes               Yes          No           No                \n4  No                No           No           No                \n\n         contract paperless_billing             payment_method  \\\n0  Month-to-month  Yes               Electronic check            \n1  One year        No                Mailed check                \n2  Month-to-month  Yes               Mailed check                \n3  One year        No                Bank transfer (automatic)   \n4  Month-to-month  Yes               Electronic check            \n\n   monthly_charges  total_charges churn  \n0  29.85            29.85          No    \n1  56.95            1889.50        No    \n2  53.85            108.15         Yes   \n3  42.30            1840.75        No    \n4  70.70            151.65         Yes   ",
            "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>customer_id</th>\n      <th>gender</th>\n      <th>senior_citizen</th>\n      <th>partner</th>\n      <th>dependents</th>\n      <th>tenure</th>\n      <th>phone_service</th>\n      <th>multiple_lines</th>\n      <th>internet_service</th>\n      <th>online_security</th>\n      <th>online_backup</th>\n      <th>device_protection</th>\n      <th>tech_support</th>\n      <th>streaming_tv</th>\n      <th>streaming_movies</th>\n      <th>contract</th>\n      <th>paperless_billing</th>\n      <th>payment_method</th>\n      <th>monthly_charges</th>\n      <th>total_charges</th>\n      <th>churn</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>7590-VHVEG</td>\n      <td>Female</td>\n      <td>No</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>1</td>\n      <td>No</td>\n      <td>No phone service</td>\n      <td>DSL</td>\n      <td>No</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>Month-to-month</td>\n      <td>Yes</td>\n      <td>Electronic check</td>\n      <td>29.85</td>\n      <td>29.85</td>\n      <td>No</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>5575-GNVDE</td>\n      <td>Male</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>34</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>DSL</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>One year</td>\n      <td>No</td>\n      <td>Mailed check</td>\n      <td>56.95</td>\n      <td>1889.50</td>\n      <td>No</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>3668-QPYBK</td>\n      <td>Male</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>2</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>DSL</td>\n      <td>Yes</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>Month-to-month</td>\n      <td>Yes</td>\n      <td>Mailed check</td>\n      <td>53.85</td>\n      <td>108.15</td>\n      <td>Yes</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>7795-CFOCW</td>\n      <td>Male</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>45</td>\n      <td>No</td>\n      <td>No phone service</td>\n      <td>DSL</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>Yes</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>No</td>\n      <td>One year</td>\n      <td>No</td>\n      <td>Bank transfer (automatic)</td>\n      <td>42.30</td>\n      <td>1840.75</td>\n      <td>No</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>9237-HQITU</td>\n      <td>Female</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>2</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>Fiber optic</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>Month-to-month</td>\n      <td>Yes</td>\n      <td>Electronic check</td>\n      <td>70.70</td>\n      <td>151.65</td>\n      <td>Yes</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "## Unique values"
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:40.875860Z",
          "end_time": "2018-09-14T21:45:40.910691Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "data.nunique()",
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 10,
          "data": {
            "text/plain": "customer_id          7043\ngender               2   \nsenior_citizen       2   \npartner              2   \ndependents           2   \ntenure               73  \nphone_service        2   \nmultiple_lines       3   \ninternet_service     3   \nonline_security      3   \nonline_backup        3   \ndevice_protection    3   \ntech_support         3   \nstreaming_tv         3   \nstreaming_movies     3   \ncontract             3   \npaperless_billing    2   \npayment_method       4   \nmonthly_charges      1585\ntotal_charges        6531\nchurn                2   \ndtype: int64"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "Often some datasets have variables that have a single unique value, which can be dropped as they provide no value. It is not the case for this dataframe."
    },
    {
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-08-25T12:59:58.053190Z",
          "start_time": "2018-08-25T12:59:58.050898Z"
        }
      },
      "cell_type": "markdown",
      "source": "## Causes of churn"
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:40.912124Z",
          "end_time": "2018-09-14T21:45:41.042418Z"
        },
        "scrolled": true,
        "trusted": true
      },
      "cell_type": "code",
      "source": "ax = sns.countplot(data=data, x='churn');\npersonal.show_percent(ax, 2)",
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<matplotlib.figure.Figure at 0x7fed8d4500f0>",
            "image/png": 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venl5uW666Sb97ne/q5chr5SVlyUnLdhs2b6B+rI46X5fjwCgjl3q0v1lz+gjIiLUvn17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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "Roughly 1/4th of the customers have churn = Yes. Our dataset is not unbalanced."
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "### Categorical variables"
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "'No phone service' and 'No internet service' provide no extra value, replace them with 'No'."
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:41.043867Z",
          "end_time": "2018-09-14T21:45:41.068379Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "data.replace({'No phone service': 'No', 'No internet service': 'No'}, inplace=True)",
      "execution_count": 12,
      "outputs": []
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:41.069732Z",
          "end_time": "2018-09-14T21:45:41.082366Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "categorical = [column for column in data.columns if data[column].nunique() < 5]\n# Remove churn\ncategorical = categorical[:-1]\ncategorical",
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 13,
          "data": {
            "text/plain": "['gender',\n 'senior_citizen',\n 'partner',\n 'dependents',\n 'phone_service',\n 'multiple_lines',\n 'internet_service',\n 'online_security',\n 'online_backup',\n 'device_protection',\n 'tech_support',\n 'streaming_tv',\n 'streaming_movies',\n 'contract',\n 'paperless_billing',\n 'payment_method']"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:41.083782Z",
          "end_time": "2018-09-14T21:45:43.628041Z"
        },
        "scrolled": false,
        "trusted": true
      },
      "cell_type": "code",
      "source": "plot_count = len(categorical)\nfig, _ = plt.subplots(plot_count, 1, figsize=(10, 4 * plot_count))\n\nfor index, category in enumerate(categorical):\n    plt.subplot(plot_count, 1, index + 1)\n    \n    order = sorted(data[category].unique())\n    ax = sns.countplot(category, data=data, hue=\"churn\", order=order)\n    ax.set_ylabel('')\n    \n    personal.show_percent(ax, 2)\n    \nfig.tight_layout()",
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<matplotlib.figure.Figure at 0x7fed82781be0>",
            "image/png": 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CMgAAAGBCQAYAAABMCMgAAACACQEZAAAAMCEgAwAAACYEZAAAAMCEgAwAAACYEJABAAAA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\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cwt//vvaQ/uvXrwOgUaPGLFqUxYQJE/nyy3+yadNX5TdRSZK+Bzf/SSepUCjEo4+Op3Hj\n07nuuhsAaNasOZmZbxT3SU29iqlTXyxxikVOTpDY2FhOOaUq+fn5rF37MX369CU2NpaNG78gLy+P\nOnXq8P7779G48emHjJ069Rnuvfc+CgsLOXCgCIBAIIKCgoJynrEkScfHgCydpNau/ZjXX3+NZs2a\nM2DALwC49dbbSUpqd9j+69b9g4yM/2XkyAf417++ZMqUJ4EAEOL662+gWbPmAAwceDN33nkzUVFR\nJCQ04L77xha/xvLlb3LmmT8jLq4+AK1ataZfvz40a9bimHueJUk6UQKhUChU0UUcTW7uroougXse\nm1/RJaiSmTTi6oouQaq0fM/Uf/I9U5VV/foxh213D7IkSZIU5ri2WIwaNYo333yTevXqkZmZCcCO\nHTsYNmwYmzdvpmHDhjz55JPExsYSCoV4+OGHWbZsGVWrVmXixIm0atUKgLlz5/LHP/4RgCFDhnDN\nNdeU07Sk8jUi8/6KLkGVzGPdHqroEiRJZeS4VpB79uzJ1KmHHsOUlpZGUlISixcvJikpibS0NACW\nL1/Oxo0bWbx4MRMmTGDcuHHAwUA9ZcoUXnnlFV599VWmTJnCzp07y3Y2kiRJUikdV0Bu06YNsbGx\nh7QtXbqUHj16ANCjRw+WLFlySHsgEODcc88lPz+fnJwcVq5cSdu2balduzaxsbG0bduWFStWlPF0\nJEmSpNL5wadYbNu2jfj4eADi4+PZvn07AMFgkMTExOJ+iYmJBIPBEu0JCQkEg8FjXqdOnepERUX+\n0DIl6YQ40gc9JPn9oR+fMj/m7XCHYgQCgSO2H0te3p4yqUuSylNlOHFHqqz8/lBlVeanWNSrV4+c\nnBwAcnJyqFu3LnBwxTg7O7u4X3Z2NvHx8SXag8Fg8Qq0JEmSVFn84ICcnJxMRkYGABkZGVxxxRWH\ntIdCIdasWUNMTAzx8fG0a9eOlStXsnPnTnbu3MnKlStp1+7wNySQJEmqLILBbO6661b69k3lhhuu\n5ZVX/gzA55+v59ZbB9KvXx/uvXcY3367+7DjX3nlz9x447X/f+zMEs/PnPki7dpdwI4dOwB4882l\n3HDDtdx++2B27jzYtnnz14wdO6qcZqj/dFxbLIYPH86qVavIy8vj0ksv5a677uKWW25h6NChzJ49\nmwYNGjBp0iQA2rdvz7Jly0hJSaFatWo88sgjANSuXZvbb7+d1NRUAO64444St6+VJEmqbCIjo7jz\nzmG0bHkme/Z8y0033UibNhfxm988xB133MN5551PZuY8Zs58kZtvHnLI2C++2MCCBXN57rk/ERUV\nxS9/eTdJSe1o1Og04GD4Xr36PRIS/u9zWrNmzSAtbRpLlizmjTcWkZp6HWlpf2Dw4ENfW+XnuALy\nE088cdj29PT0Em2BQICxY8cepjekpqYWB2RJkqQfg7i4OOLi4gCoXr0GTZo0YevWHL766l+ce+7/\nANCmzUX88pd3lQjIGzdupFWrs6latSoA5533Pyxf/lf69u0PwOTJTzBkyN2MGvXL4jGBQIB9+/ZT\nUFBAdHQVPv74I+Li4opDtcqfd9KTJEk6Tlu2fMP69Z/xs5+dRdOmzVi5chkAf/3rksOeztW0aTPW\nrPmInTt3UFBQwDvvvEVOzsF+K1cuIy4unhYtzjhkzE033czw4XeyevUqOnToTHr68/TvP7j8J6di\nZX6KhSRJ0n+jPXv2cN9993LPPb+kRo2ajBo1hieffIxp06bSrt2lVKlSpcSYJk1O54Yb+jFs2B1U\nq1ad5s1bEBkZSUFBAenpL/D73z9dYkybNhfTps3FACxcmMnFF7flq6/+xaxZLxITU4t77vlV8Yq0\nyocryJIkScdQWFjI/fffS8eOnWnfPhmAxo2b8PvfP80LL7xEhw6daNiw4WHHduvWgxdemMHTTz9H\nrVqxnHrqaWze/DVbtnzDgAHXk5p6Fbm5Odx0U1+2bdtaPK6goICFCzPp2bM3zz47hVGjxtCy5Zks\nXrzwhMz5ZOYKsiRJ0lGEQiEefXQ8jRufznXX3VDcnpe3nTp16nLgwAHS05+ne/dehx3/737Z2dks\nW/YXnnlmGrVq1SIz843iPqmpVzF16ouHHGAwY0Y6vXtfR1RUFHv37iUQCBAIRFBQUFB+kxVgQJYk\nSTqqtWs/MZdeTwAAIABJREFU5vXXX6NZs+YMGPALAG699XY2bdrEnDmvAtC+/eV07Xo1AFu35jJx\n4gR+97unALjvvnvJz99JZGQUw4f/mlq1ah3zmlu35vLZZ58yaNCtAFx33Q3ccstAYmJq8sgjj5fH\nNBUmEDrcLe4qkcpw9517Hptf0SWokon+6aqKLkGVzGPdHqroEioN3zP1nyaNuLqiS5AOq8zvpCdJ\nkiT9N3KLhSRJKlcjMu+v6BJUyVT2v7q5gixJkiSFMSBLkiRJYQzIkiRJUhgDsiRJkhTGgCxJkiSF\nMSBLkiRJYQzIkiRJUhgDsiRJkhTGgCxJkiSFMSBLkiRJYQzIkiRJUhgDsiRJkhTGgCxJkiSFMSBL\nkiRJYQzIkiRJUhgDsiRJkhTGgCxJkiSFMSBLkiRJYQzIkiRJUpio0r5AcnIyNWrUICIigsjISObM\nmcOOHTsYNmwYmzdvpmHDhjz55JPExsYSCoV4+OGHWbZsGVWrVmXixIm0atWqLOYhSZIklYkyWUFO\nT09n3rx5zJkzB4C0tDSSkpJYvHgxSUlJpKWlAbB8+XI2btzI4sWLmTBhAuPGjSuLy0uSJEllply2\nWCxdupQePXoA0KNHD5YsWXJIeyAQ4NxzzyU/P5+cnJzyKEGSJEn6QUq9xQJg0KBBBAIB+vTpQ58+\nfdi2bRvx8fEAxMfHs337dgCCwSCJiYnF4xITEwkGg8V9D6dOnepERUWWRZmSVG7q14+p6BIk6Uej\nsr9nljog//nPfyYhIYFt27YxcOBAmjZtesS+oVCoRFsgEDjq6+fl7SltiZJU7nJzd1V0CZL0o1FZ\n3jOPFNRLvcUiISEBgHr16pGSksLatWupV69e8daJnJwc6tatCxxcMc7Ozi4em52dfdTVY0mSJOlE\nK1VA3rNnD7t37y7++q233qJFixYkJyeTkZEBQEZGBldccQVAcXsoFGLNmjXExMQYkCVJklSplGqL\nxbZt27jjjjsAKCoqolu3blx66aWcffbZDB06lNmzZ9OgQQMmTZoEQPv27Vm2bBkpKSlUq1aNRx55\npPQzkCRJkspQqQJyo0aNmD9/fon2OnXqkJ6eXqI9EAgwduzY0lxSkiRJKlfeSU+SJEkKY0CWJEmS\nwhiQJUmSpDAGZEmSJCmMAVmSJEkKY0CWJEmSwhiQJUmSpDAGZEmSJCmMAVmSJEkKY0CWJEmSwhiQ\nJUmSpDAGZEmSJCmMAVmSJEkKY0CWJEmSwhiQJUmSpDAGZEmSJCmMAVmSJEkKY0CWJEmSwhiQJUmS\npDAGZEmSJCmMAVn6f+zdeVhV1f7H8c+BI044YAiYmVOoZU4lJVeUREFLZHRMzTHLeehqYoYTKmlm\naVmRllSamSkGaJJWqJWZlWKWqbecBVRQVAQF9u8Pn3vu4QeiKZP4fj1Pz8NZe6+1v4s88GGx2BsA\nAMAKARkAAACwQkAGAAAArBCQAQAAACsEZAAAAMAKARkAAACwQkAGAAAArBR7QN66das6d+4sb29v\nRUREFPflAQAAgAIVa0DOzs7WzJkztXTpUsXGxiomJkaHDh0qzhIAAACAAhVrQE5ISFDdunVVp04d\n2dnZqWvXrtqyZUtxlgAAAAAUyFycF0tKSpKLi4vltbOzsxISEgrsU7NmlaIu64ZWzutb0iWg1OHf\nBHA9fM1EXvybwJ2lWFeQDcPI02YymYqzBAAAAKBAxRqQXVxclJiYaHmdlJQkJyen4iwBAAAAKFCx\nBuRmzZrp8OHDOnbsmK5cuaLY2Fh5eXkVZwkAAABAgYp1D7LZbFZoaKiGDh2q7OxsBQcHy9XVtThL\nAAAAAApkMvLbGAwAAADcpXiSHgAAAGCFgAwAAABYISADBWjcuLHCw8Mtr5ctW6bFixeXYEUAULoY\nhqE+ffooPj7e0rZhwwYNGTKkBKsCbg8BGSiAnZ2d4uLilJKSUtKlAECpZDKZNGPGDIWHhyszM1Pp\n6el6/fXXNW3atJIuDbhlxXoXC+BOYzab1atXL0VGRmr8+PG5jp04cUJTpkxRSkqKatSooblz5+re\ne+8toUoBoOQ0atRIHTp00Hvvvaf09HT5+/vr/vvv17p167RixQpdvXpVrVq1UmhoqHJychQSEqL9\n+/fLMAz17NlTzzzzTElPAciFFWTgBvr27avo6GhduHAhV/usWbMUEBCg6OhodevWTWFhYSVUIQCU\nvFGjRik6Olrbtm3Ts88+qwMHDuirr77SqlWrtH79emVnZys2Nlb79u1TamqqoqOjFRMTo4CAgJIu\nHciDFWTgBuzt7eXv768PP/xQFSpUsLT/+uuvlv3I/v7+mj9/fkmVCAAlrlKlSnrqqadUqVIl2dnZ\n6fvvv9fevXsVHBwsScrIyJCLi4s8PDz0999/KywsTJ6envLw8CjhyoG8CMjATRgwYICCgoIUFBR0\n3XNMJlMxVgQApY+NjY1sbP73y+ng4GCNGzcuz3lffPGFtm7dqo8++khxcXGaNWtWcZYJ3BBbLICb\nUL16dXXp0kVr1qyxtLVq1UqxsbGSpOjoaD366KMlVR4AlDru7u7auHGj5Y+cU1NTdfLkSaWkpMgw\nDD355JMaPXq09u3bV8KVAnmxggzcpMGDB2vFihWW11OnTtWUKVO0bNkyyx/pAQCuady4sUaNGqVB\ngwYpJydH5cqV0/Tp02Vra6uXXnpJhmHIZDLp3//+d0mXCuTBo6YBAAAAK2yxAAAAAKwQkAEAAAAr\nBGQAAADACgEZAAAAsEJABgAAAKwQkAEAAAArBGQAyMfx48f16aeflnQZevbZZ3X06NGSLuMf27t3\nr1544YWSLgMAbgn3QQaAfPz444965ZVXtHbt2nyPZ2VlyWzmWUsAUBYRkAHc9S5fvqwXX3xRhw4d\nktlsVv369XXo0CEdP35c9erVU926dbVo0SJ5eXkpODhYO3bsUJ06dTRnzhytW7dOK1euVHZ2tuzt\n7TV9+nQ1aNBAf/75p2bMmKHLly8rMzNTPXv21MCBAyVJkydPlp2dnQ4fPqxjx47J29tbHTp00OLF\ni5WYmKgBAwZowIABkiQvLy+98847atSokfr376+HH35Yu3fvVnJysp588knLU8gOHTqkkJAQXb58\nWU2aNNHRo0c1fPhwdejQId85//jjj5o9e7aaN2+uPXv2yGw2a968eXrzzTd18OBB1apVS4sXL1al\nSpV06dIlhYWFae/evZIkPz8/DRs2TLt27VJYWJiioqIs4wYFBWny5MkyDCPXDxjx8fF6++23deXK\nFZUrV04hISFq2bKl/vrrL0vdOTk5CgwM1JAhQ4rqfzUA3BSWPwDc9bZv3660tDRt2LBBknT+/Hnt\n378/3xXk06dP66OPPpIk7dq1Sxs3btSKFStkZ2en+Ph4TZkyRatWrVLt2rW1fPly2dnZ6dKlS+rR\no4fatWunhg0bSpIOHjyoyMhIZWdny8vLSxcuXNDHH3+s06dPq0uXLurevbsqV66cp9ZTp05pxYoV\nunTpkjp16qTu3burXr16mjRpkgYMGCB/f3/t3btXPXv2vOG8//Of/+iVV15RWFiYZsyYoSFDhmj1\n6tVycXHRs88+q9jYWPXo0UNLlixRTk6OoqOjdenSJfXq1UuNGzeWp6en0tPTtX//fjVp0kQHDhxQ\nWlqa3NzctHPnTst1jh49qiVLlmjZsmWyt7fXwYMH9eyzz+rbb7/VypUr1b59e40cOdLyuQeAkkZA\nBnDXa9Kkif766y/NmDFDjz32mJ544onrnhsQEGD5+Ouvv9b+/fvVo0cPSZJhGEpLS5MkZWRkaPr0\n6frzzz9lMpmUnJys/fv3WwJyp06dZGdnJ0mqX7++PD09ZWNjI2dnZ1WtWlWJiYmWc6116dJFNjY2\nqlKliho2bKijR4/K0dFRBw4cULdu3SRJzZo1U+PGjW847/r16+vBBx+UJD300EM6efKkXFxcJElN\nmzbVkSNHJEk//PCDpkyZIpPJJHt7e3Xt2lU//PCDPD095e/vr3Xr1ikkJERr165VYGCgTCZTruts\n27ZNR48eVd++fS1tWVlZOnPmjNzc3PTKK6/o6tWrevzxx9WmTZsb1g0ARY2ADOCuV6dOHW3YsEE7\nduzQ1q1btXDhQk2dOjXfcytVqmT52DAMBQcHa+zYsXnOe+2111SzZk2Fh4fLbDZr8ODByszMtBwv\nX7685WNbW9s8r7Ozs/O9fn7nGYYhk8mUJ5jeyH8D+vVq+G+9/x3f2n9fBwYGqmfPnpowYYJiYmKu\n+4eN7dq107x58/K0d+7cWS1bttR3332n9957T59//rleffXVfzQPAChs3MUCwF0vMTFRtra26tSp\nk0JCQpSSkiJ7e3tdvHixwH5eXl5av369EhMTJUnZ2dn67bffJEkXLlyQi4uLzGazDhw4oF27dhVZ\n/VWqVNEDDzygmJgYSdK+fft04MCBQhv/X//6l9asWSPDMHTx4kVt2LBB7u7ukqR7771XDRs2VFhY\nmB544AHVrl07T/+2bdtq27ZtOnjwoKUtISFBknTkyBHVrFlTQUFBGjlypGWfMwCUJFaQAdz1/vzz\nTy1YsECSlJOTo2HDhql58+aqX7++fH191aBBAy1atChPPzc3N40bN07Dhw9Xdna2rl69qi5duujh\nhx/W8OHDNWnSJH3xxRe6//775ebmVqRzeOWVVzRlyhR98MEHatq0qZo0aaIqVaoUytgjRozQrFmz\nLFs4/Pz81L59e8vxoKAgTZo0Kd8VYkmqV6+e5s+fr5deekkZGRm6evWqHnnkETVv3lwbN25UdHS0\nypUrJ5PJpClTphRKzQBwO7iLBQCUAenp6apYsaJMJpMOHTqk/v3768svv1S1atVKujQAuOOwggwA\nZcAvv/yiefPm6b9rHrNmzSIcA8AtYgUZAMqw559/XqdOncrVVqtWLb3zzjslVBEAlH4EZAAAAMAK\nd7EAAAAArBCQAQAAACsEZAAAAMAKARkAAACwQkAGAAAArBCQAQAAACsEZAAAAMAKARkAAACwUuof\nNX369IWSLuG2de/eTZUqVZKNja1sbW21bNlHCg0N0dGjRyRJFy9ekL19FS1fvjJXv6SkRIWFTVNK\nylmZTDby8wtUz559JEkHDx7Qq6/O1eXL6XJxuVfTps1S5cr2SkjYrQULwlWunJ2mT5+t++6rowsX\nLmjatBAtWLBYJpOp2OcPAABQGtWsWSXf9lIfkMuKRYveVfXq1S2vZ86ca/l48eKFsre3z9PH1tas\nUaPGq3HjJkpPv6TBg/vLze1x1a/fQK+8EqaRI8eqVatHFROzXitXfqRnnx2uVatWKCxsnhITT2rd\nujUaPXq8li9fqv79BxGOAQAAbgJbLEqYYRj65pvN6tSpc55jjo6Oaty4iSSpUqXKqlevns6cSZYk\nHT16RC1bPiJJcnN7XPHxX0uSzGazMjMzlZGRIbPZrBMnjuvMmWS1avVoMc0IAADgzkZALgYmk0kT\nJozU4MH9tH792lzH9uz5VQ4ONVSnzv0FjnHq1EkdOPCnHnroYUlSgwYNtX17vCTpm282KykpSZLU\nv/9AzZs3W6tXf6Lg4J6KiHhLQ4cOL4JZAQAAlE1ssSgGb7+9TI6ONZWamqJx40aqbt16ltXfzZs3\n5bt6bC09PV0vvTRJY8e+oMqVr23FCAkJ1euvz9cHHyyVh0d7lStXTpLk6tpYERHLJUm7d/8iR8ea\nMgxDoaEhMpvNGjVqnGrUuKfoJgsAAHCHYwW5GDg61pQkOTjUUPv2T+j33/dJkrKyshQf/406dvS+\nbt+srCxNnTpJPj5d5OnpZWmvW7eeFi58S++//7E6deqs2rVr5+pnGIYiI5dpwICh+uCD9zRkyHPy\n8XlSn322qghmCAAAUHYQkIvY5cuXlZ5+yfLxTz/9qAYNGkqSdu3aqbp168nJyTnfvoZhaO7cmapb\nt7569+6X61hqaookKScnR5GRy+TvH5zr+MaNMXJ391DVqlWVkZEhk8kkGxsbZWZmFPYUAQAAyhS2\nWBSxlJSzmjJloiQpOztb3t6d1abNvyRJW7bEqVMnn1znnzlzWuHhs/Tqq4uUkLBHmzZtUMOGD2jg\nwKclSc89N0Lu7h766qtNWrv2M0mSp2cHde3qZxkjIyNDGzfGaOHCtyRJvXv31dSpk2Q2l9P06bOL\nfM4AAAB3MpNhGEZJF1GQsnAfZAAAAJQ+17sPMlssAAAAUCQCA58q6RJuCQEZAAAApUp2dnaJXv+u\n3YM8dv4XJV1CmffGRL8bnwQAAMqMZcve1Y8//qDy5cvL27uLcnKytXjxQv3++29ycamladPC9Msv\nuxQTs16hobMkXVtlXrdug375ZZciI99X9erVVbFiRTVv3lLff79dknT48N969tnnc93RqyjdtQEZ\nAAAAhWfHju918OCfeued92VjY6Ps7GwtWBCuHj36yMXFRSNHPqu//jpU4BhJSYmaP/912dnZacOG\naKWnX9KCBYt18uQJhYaGFFtAZosFAAAAbttffx1S69aPycbmWry0tbWVg0MNubi4SJKcnV10/vx5\nmUymXP2s7xfRuHET2dnZWb1+UCaTSc7OLkpLO18Ms7iGgAwAAIDbVr9+Q/388y7l5ORIuraPOL8w\nXLVqNSUlJUqSEhMTLc92kK6FamvW/YvzxmtssQAAAMBtc3dvq4SE3XruuYGqWLGSOnXqnO95DRs+\noHvucdTw4UP00ENNVb169WKu9Mbu2vsg80d6RY8/0gMAAKUZ90EGAAAAbgIBGQAAALBCQAYAAACs\nEJABAAAAKwRkAAAAwAoBGQAAALBCQAYAAECp4uHRWosXL7S8XrnyIy1b9m6xXZ8HhQAAAOC6CvvZ\nETfznAQ7Oztt3fqN+vcfVCIPEmEFGQAAAKWKra2t/PwC9emnK/IcS0w8pbFjh2vAgN4aO3a4EhMT\nC/36BGQAAACUOkFBPfTVV1/q4sWLudpfe22eunTpqsjIVfL27qI33phf6NcmIAMAAKDUqVzZXl26\ndNWaNatyte/blyBv7y6SpC5duiohYXehX5uADAAAgFKpZ88+iolZr4yMy9c9x2QyFfp1CcgAAAAo\nlapWrSYvr06KiVlvaXv44ebavHmTJCkubqOaNWtZ6NclIAMAAKDU6t27n86fP2d5PW7cRG3YEK0B\nA3pr06YNGjv234V+TZNhGEZBJ5w6dUqTJk3SmTNnZGNjo549e2rAgAE6d+6cxo8frxMnTqh27dp6\n/fXXVa1aNRmGodmzZys+Pl4VKlRQeHi4mjZtKklat26d3n77bUnS8OHDFRgYeMMCT5++UAjTzKuw\nb1mCvG7mNi4AAAAlpWbNKvm233AF2dbWVpMnT9bGjRv16aefauXKlTp06JAiIiLk7u6uuLg4ubu7\nKyIiQpK0detWHT58WHFxcZo1a5amT58uSTp37pzefPNNrV69Wp999pnefPNNnT9/vvBmCAAAABSC\nGwZkJycnywqwvb29GjRooKSkJG3ZskUBAQGSpICAAG3evFmSLO0mk0ktW7ZUWlqakpOTtX37drVt\n21bVq1dXtWrV1LZtW23btq0IpwYAAAD8c//oSXrHjx/XH3/8oRYtWujs2bNycnKSdC1Ep6SkSJKS\nkpLk4uJi6ePi4qKkpKQ87c7OzkpKSrrhNR0cKslstv0nZaKUuN6vLQAAAEqzmw7Ily5d0pgxYzRl\nyhTZ29tf97z8tjSbTKbrtt9Iamr6zZaIUqao9o8DAAAUhlvegyxJV69e1ZgxY9StWzf5+PhIku65\n5x4lJydLkpKTk1WjRg1J11aMrR/5l5iYKCcnpzztSUlJlhVoAAAAoLS4YUA2DEMvvfSSGjRooEGD\nBlnavby8FBUVJUmKiopSx44dc7UbhqHdu3erSpUqcnJykoeHh7Zv367z58/r/Pnz2r59uzw8PIpo\nWgAAAMCtueEWi59//lnr169Xo0aN5O/vL0maMGGChg0bpnHjxmnNmjWqVauW3njjDUmSp6en4uPj\n5e3trYoVK2rOnDmSpOrVq2vEiBHq3r27JGnkyJGqXr16Uc0LAAAAdyDDMDRixFA988xgubu3lSRt\n2fKVYmO/0GuvLS6WGm54H+SSxn2Q71zcBxkAgDvfxJiphTrefN+wG57z11+H9PLLk/X++yuUk5Oj\nQYOe1oIFi1W79n2FWsv19iD/o7tYAAAAAEWtQYMH1LZtO61YEamMjMvq0qWrate+Txs3xmjt2tW6\nejVLDz/cXBMmTFJOTo7mzp2hgwcPyDAM+fkFqUeP3rd1fQIyAAAASp1Bg4Zp8OC+KleunJYu/Uh/\n/XVIW7d+o7fffl9ms1mvvDJbmzfHqXbt+3Tu3Hl9+OGnkqQLF25/9wEBGQAAAKVOxYoV1bGjjypW\nrCg7Ozvt2rVTf/zxu4YOfUaSlJmZIWdnZz3+eBsdPXpEr7/+qtzd2+qxx9rc9rUJyAAAACiVTCaT\nTKZrN10zDENdu/rp2WeH5zkvMvIT7djxvdasWaVvv/1aL7740m1d96bugwwAAACUpNatH9fXX3+l\nc+fOSZLOnz+nxMREpaamSjLk5dVJQ4Y8pwMH9t/2tVhBBgAAQKnXsOEDGjRomMaNGyHDyJGtrVkT\nJ4bIxsZW4eEzZRiSySQNHz7mtq/Fbd5QZLjNGwAAKM1u61HTAAAAwN2CgAwAAABYISADAAAAVgjI\nAAAAgBUCMgAAAGCFgAwAAABYISADAAAAVgjIAAAAgBUCMgAAAGCFgAwAAABYISADAAAAVgjIAAAA\ngBUCMsqE7OxsDRr0tCZNGidJmjFjqvr0CVL//j01Z84MZWVl5enzyy+7NHDg05b/vLz+pa1bv5Uk\nff75p+rVK0AeHq117tw5S59vv92ifv16asSIoTp//lr7iRPHNW1aSNFPEgAAFAtzSRcAFIbPPvtE\ndevWV3r6JUmSj08XhYbOkiRNn/6SoqOjFBjYPVefRx5preXLV0qS0tLOq1evQD32WBtJUrNmLfSv\nf7XT6NHP5eqzatUKRUR8oM2b4/TVV1+qe/feiohYoqFDhxf1FAGg1Fu9+hNFR6+TYUh+fgHq2fNp\nhYaG6OjRI5KkixcvyN6+iuVrr7U5c2bo+++3y8HBQR99tNrSfr3+CQm7tWBBuMqVs9P06bN13311\ndOHCBU2bFqIFCxbLZDIVz6RRJhGQccdLTk7SDz98p2eeGaxPP10hSXJ397Acf+ihpkpOTipwjG++\n2aI2bf6lChUqSJIaNWqS73kmk0lXrlxVRkaG7OzKac+eX+Xo6Kg6de4vpNkAwJ3pr78OKTp6nd57\n70OZzWa98MIYubt7aObMuZZzFi9eKHt7+3z7P/VUNwUH91JYWGiu9uv1X7VqhcLC5ikx8aTWrVuj\n0aPHa/nyperffxDhGLeNLRa44y1atEDDh4/J9wtiVlaWNm3aoDZt/lXgGFu2xKlTp843vNbgwc9q\nwoRR2rVrpzp16qLIyGUaMGDoLdcOAGXF4cOH1bRpM1WoUEFms1mtWj2irVu/sRw3DEPffLP5ul9r\nW7Z8RFWrVr3u+P+/v9lsVmZmpjIyMmQ2m3XixHGdOZOsVq0eLdyJ4a7ECjLuaN99t03Vq9dQkyYP\n6pdfduU5vmBBuFq0eEQtWrS67hhnzpzRX38d0uOPu9/wem5ubeTmdm0bxsaNMWrTpq2OHj2iVas+\nUpUqVTV27L8tq9AAcDdp0KChIiKW6Pz5cypfvoJ++OE7NWnyoOX4nj2/ysGhxi3/xu3/9+/ff6Dm\nzZut8uXL6+WXZ+qtt15nuxsKDQEZd7S9e/fou++2aseO73TlyhVdunRRM2e+rNDQWXr//QidO5eq\n2bOnFDjG119/pXbtOshsvvm3Q0ZGhjZujNFrr72p8eNHKjx8gb766kvFxW2Un1/g7U4LAO449erV\nV79+z2j8+JGqWLGSHnjAVba2tpbjmzdvuqnf1F3P/+/v6tpYERHLJUm7d/8iR8eaMgxDoaEhMpvN\nGjVqnGrUuOeWr4e7G1sscEd7/vlRWrdug9asidb06bP16KNuCg2dpejoKO3cuUPTp8+WjU3B/8w3\nb94kb+9/9kV7xYpI9ejR2/IrPpPJJJPJRhkZGbczHQC4o/n6Buj991forbfeU9Wq1XTffddWe7Oy\nshQf/406dvS+pXEL6m8YhmW72wcfvKchQ56Tj8+T+uyzVbc1F9zdCMgok159da5SUs7quecGa+DA\np/XBB+9Jkvbv/13h4bMs5506dVLJyUlq2fKRXP0/+2yVAgOf0unTyRowoHeuPmfOnNaff/6hdu2e\nkCT17t1Pw4YN0pdfxsjbu0vRTw4ASqnU1BRJUmJiouLjv7as+O7atVN169aTk5PzLY1bUP+NG2Pk\n7u6hqlWrKiMjQyaTSTY2NsrMZMECt85kGIZR0kUU5PTpC0Uy7tj5XxTJuPifNyb6lXQJAIBiNGLE\nUKWlnZetrVmjR49X69aPSZJmz56upk0fVkDA/263eebMaYWHz9Krry6SJE2bNkW7d/+sc+fOqUaN\nezRkyDD5+gZct790bbvbxIljtXDhWzKbzdqz51ctWBAus7mcpk+frfvvr1tMM8edqmbNKvm2E5BR\nZAjIAACgNLteQGaLBQAAAGCFgAwAAABY4TZvKDITY6aWdAll2nzfsJIuAcAdgC2FRY8thWUPK8gA\nAACAFQIyAAAAYIWADAAAAFghIAMAAABWCMgAAACAFQIyAAAAYIWADAAAAFghIAMAAABWCMgAAACA\nFQIyAAAAYIWADAAAAFghIAMAAABWbhiQQ0JC5O7uLl9fX0vb4sWL1a5dO/n7+8vf31/x8fGWY+++\n+668vb3VuXNnbdu2zdK+detWde7cWd7e3oqIiCjkaQAAAACFw3yjE4KCgtSvXz+9+OKLudoHDhyo\nIUOG5Go7dOiQYmNjFRsbq6SkJA0aNEibNm2SJM2cOVMffPCBnJ2d1b17d3l5eemBBx4oxKkAAAAA\nt++9gsWuAAAgAElEQVSGAdnNzU3Hjx+/qcG2bNmirl27ys7OTnXq1FHdunWVkJAgSapbt67q1Kkj\nSeratau2bNlCQAYAAECpc8OAfD0rVqxQVFSUHn74YU2ePFnVqlVTUlKSWrRoYTnH2dlZSUlJkiQX\nF5dc7f8Nzjfi4FBJZrPtrZYJlFk1a1Yp6RIAAOLrcVl0SwG5T58+GjFihEwmk9544w2Fh4dr7ty5\nMgwjz7kmk0k5OTn5tt+M1NT0WykRKPNOn75Q0iUAAMTX4zvZ9X64uaW7WDg6OsrW1lY2Njbq0aOH\n9u7dK+naKnFiYqLlvKSkJDk5OV23HQAAAChtbikgJycnWz7evHmzXF1dJUleXl6KjY3VlStXdOzY\nMR0+fFjNmzdXs2bNdPjwYR07dkxXrlxRbGysvLy8CmcGAAAAQCG64RaLCRMmaOfOnUpNTVX79u01\nevRo7dy5U/v375ck1a5dWzNnzpQkubq66sknn9RTTz0lW1tbhYaGytb22v7h0NBQDR06VNnZ2QoO\nDraEagAAAKA0MRn5bRwuRYpqX8/Y+V8Uybj4H7sHd5Z0CWXafN+wki4BwB2A73dF742JfiVdAm5R\noe5BBgAAAMoqAjIAAABghYAMAAAAWLnlB4UAQGn26acrFB29XiaT1KDBA5oyZZr27t2jJUveUE6O\noYoVK+qll6brvvvq5OoXF7dRK1d+ZHn9n/8c1PvvfyxX18aaMGG0zp49o+zsbLVo0VITJrwoW1tb\nLVmySD/++L0eeKCRXn752h8tf/llrNLS0tSzZ59inTcA4PaxggygzDl9Ollr1nyqZcs+1EcfrVZO\nTo62bInTq6+GKzQ0TMuXr5S3dxdFRi7L09fH50ktX75Sy5ev1Msvz5SLy71ydW0sSZo1a64iIz/R\nRx99qnPnUvXNN5t18eJF/fZbgiIjVyknJ0f/+c8hZWZmaOPGGAUF9SjuqQMACgEryADKpOzsbGVm\nZsrW1qzMzAw5OtaUySRdunRJknTp0kU5OtYscIzNmzepUycfy+vKle0tY1+9miWTySQbG5OuXr0q\nwzCUmZkps9mslSs/UvfuvWQ28yUWAO5EfPUGUObUrOmk3r37KTjYV+XLl5ebWxs99lgbTZ78siZO\nHKvy5curcuXKevfdDwocZ8uWOIWHL8jVNmHCKP3++z61afMvPfFER9na2uqJJ7w0aFBfPfqomypX\nttcff/yuQYOeLcopAgCKEFssAJQ5aWlp2r49XqtXf6GoqC+VkXFZmzZt0KefrtT8+W9o3boNeuqp\nblq8eOF1x9i37zdVqFBBDRo8kKv9tdfe1Pr1X+rq1Sv65ZefJEl9+w7Q8uUrNXr0eC1d+raGDn1O\n0dFRevnlyVq+fGmRzhUAUPgIyADKnF27dqpWrXvl4OAgs9ms9u07aO/ePTp06ICaNn1YkuTl5aPf\nfku47hhbtmxSp06d8z1Wvnx5eXh4atu2+FztBw5ce8JonTp19eWXsZo1K1x///0fHTt2tJBmBgAo\nDgRkAGWOs7OL9u37TRkZGTIMQz///JPq1auvS5cu6ujRI5KkXbt2qG7devn2z8nJ0TffbFHHjv/b\nf5yenq4zZ85IkrKysvTDD9/l6b906TsaOvR5ZWVlKScnW5JkMtkoIyOj8CcJACgy7EEGUOY0bfqw\nOnToqMGD+8rW1laNGjWWn1+QatZ01tSpk2Qy2ahKlSoKCQmVJG3fHq/9+//Q0KHPS5J27/5FNWs6\nqXbt+yxjZmRc1uTJE3T16hVlZ+fo0Udby98/2HJ869Zv1aTJQ5Y//GvatLmeeaaXGjZ0latro2Kc\nPQDgdpkMwzBKuoiCnD59oUjG5dn0Rc/uwZ0lXUKZNt83rKRLAHAH4Ptd0Xtjol9Jl4BbVLNmlXzb\n2WIBAAAAWCEgAwAAAFbYgwyg2PCr3qLHr3oB4PaxggwAAABYISADAAAAVgjIAAAAgBUCMgAAAGCF\ngAwAAABYISADAAAAVgjIAAAAgBUCMgAAAGCFgAwAAABYISADAAAAVgjIAAAAgBUCMgAAAGCFgAwA\nAABYISADAAAAVgjIAAAAgBUCMgAAAGCFgAwAAABYISADAAAAVgjIAAAAgBUCMgAAAGCFgAwAAABY\nISADAAAAVgjIAAAAgBUCMgAAAGCFgAwAAABYISADAAAAVgjIAAAAgBUCMgAAAGDlpgJySEiI3N3d\n5evra2k7d+6cBg0aJB8fHw0aNEjnz5+XJBmGobCwMHl7e6tbt27at2+fpc+6devk4+MjHx8frVu3\nrpCnAgAAANy+mwrIQUFBWrp0aa62iIgIubu7Ky4uTu7u7oqIiJAkbd26VYcPH1ZcXJxmzZql6dOn\nS7oWqN98802tXr1an332md58801LqAYAAABKi5sKyG5ubqpWrVquti1btiggIECSFBAQoM2bN+dq\nN5lMatmypdLS0pScnKzt27erbdu2ql69uqpVq6a2bdtq27ZthTwdAAAA4PaYb7Xj2bNn5eTkJEly\ncnJSSkqKJCkpKUkuLi6W81xcXJSUlJSn3dnZWUlJSTe8joNDJZnNtrdaJlBm1axZpaRLQCnEvwug\n+PG+K3tuOSBfj2EYedpMJtN1228kNTW9UOoCyprTpy+UdAkohfh3ARQ/3nd3ruv9cHPLd7G45557\nlJycLElKTk5WjRo1JF1bMU5MTLScl5iYKCcnpzztSUlJlhVoAAAAoLS45YDs5eWlqKgoSVJUVJQ6\nduyYq90wDO3evVtVqlSRk5OTPDw8tH37dp0/f17nz5/X9u3b5eHhUTizAAAAAArJTW2xmDBhgnbu\n3KnU1FS1b99eo0eP1rBhwzRu3DitWbNGtWrV0htvvCFJ8vT0VHx8vLy9vVWxYkXNmTNHklS9enWN\nGDFC3bt3lySNHDlS1atXL6JpAQAAALfmpgLya6+9lm97ZGRknjaTyaRp06ble3737t0tARkAAAAo\njXiSHgAAAGCFgAwAAABYISADAAAAVgjIAAAAgBUCMgAAAGCFgAwAAABYISADAAAAVgjIAAAAgBUC\nMgAAAGCFgAwAAABYISADAAAAVgjIAAAAgBUCMgAAAGCFgAwAAABYISADAAAAVgjIAAAAgBUCMgAA\nAGCFgAwAAABYISADAAAAVgjIAAAAgBUCMgAAAGCFgAwAAABYISADAAAAVgjIAAAAgBUCMgAAAGCF\ngAwAAABYISADAAAAVgjIAAAAgBUCMgAAAGCFgAwAAABYISADAAAAVgjIAAAAgBUCMgAAAGCFgAwA\nAABYISADAAAAVgjIAAAAgBUCMgAAAGCFgAwAAABYISADAAAAVgjIAAAAgBUCMgAAAGCFgAwAAABY\nISADAAAAVgjIAAAAgBXz7Q7g5eWlypUry8bGRra2tlq7dq3OnTun8ePH68SJE6pdu7Zef/11VatW\nTYZhaPbs2YqPj1eFChUUHh6upk2bFsY8AAAAgEJRKCvIkZGRWr9+vdauXStJioiIkLu7u+Li4uTu\n7q6IiAhJ0tatW3X48GHFxcVp1qxZmj59emFcHgAAACg0RbLFYsuWLQoICJAkBQQEaPPmzbnaTSaT\nWrZsqbS0NCUnJxdFCQAAAMAtue0tFpI0ZMgQmUwm9erVS7169dLZs2fl5OQkSXJyclJKSookKSkp\nSS4uLpZ+Li4uSkpKspybHweHSjKbbQujTKBMqVmzSkmXgFKIfxdA8eN9V/bcdkD+5JNP5OzsrLNn\nz2rQoEFq0KDBdc81DCNPm8lkKnD81NT02y0RKJNOn75Q0iWgFOLfBVD8eN/dua73w81tb7FwdnaW\nJN1zzz3y9vZWQkKC7rnnHsvWieTkZNWoUUPStRXjxMRES9/ExMQCV48BAACA4nZbATk9PV0XL160\nfPzdd9/J1dVVXl5eioqKkiRFRUWpY8eOkmRpNwxDu3fvVpUqVQjIAAAAKFVua4vF2bNnNXLkSElS\ndna2fH191b59ezVr1kzjxo3TmjVrVKtWLb3xxhuSJE9PT8XHx8vb21sVK1bUnDlzbn8GAAAAQCG6\nrYBcp04dffHFF3naHRwcFBkZmafdZDJp2rRpt3NJAAAAoEjxJD0AAADACgEZAAAAsEJABgAAAKwQ\nkAEAAAArBGQAAADACgEZAAAAsEJABgAAAKwQkAEAAAArBGQAAADACgEZAAAAsEJABgAAAKwQkAEA\nAAArBGQAAADACgEZAAAAsEJABgAAAKwQkAEAAAArBGQAAADAirmkCwAA3HnmzJmh77/fLgcHB330\n0WpJ0tdfb9b770foyJG/9d57kWrS5KE8/ZKSEhUWNk0pKWdlMtnIzy9QPXv2kSSFhobo6NEjkqSL\nFy/I3r6Kli9fqYSE3VqwIFzlytlp+vTZuu++Orpw4YKmTQvRggWLZTKZim/iAO4KBGQAwD/21FPd\nFBzcS2FhoZa2Bg0aas6ceZo3b851+9namjVq1Hg1btxE6emXNHhwf7m5Pa769Rto5sy5lvMWL14o\ne3t7SdKqVSsUFjZPiYkntW7dGo0ePV7Lly9V//6DCMcAigRbLAAA/1jLlo+oatWqudrq1auv+++v\nV2A/R0dHNW7cRJJUqVJl1atXT2fOJOc6xzAMffPNZnXq1FmSZDablZmZqYyMDJnNZp04cVxnziSr\nVatHC29CAGCFFWQAQIk4deqkDhz4Uw899HCu9j17fpWDQw3VqXO/JKl//4GaN2+2ypcvr5dfnqm3\n3npdQ4cOL4mSAdwlCMgAgGKXnp6ul16apLFjX1Dlyva5jm3evMmyeixJrq6NFRGxXJK0e/cvcnSs\nKcMwFBoaIrPZrFGjxqlGjXuKs3wAZRxbLAAAxSorK0tTp06Sj08XeXp65TkWH/+NOnb0ztPPMAxF\nRi7TgAFD9cEH72nIkOfk4/OkPvtsVXGVDuAuQUAGABQbwzA0d+5M1a1bX71798tzfNeunapbt56c\nnJzzHNu4MUbu7h6qWrWqMjIyZDKZZGNjo8zMjOIoHcBdhIAMAPjHpk2bouefH6SjR48oMPApxcRE\nKT7+GwUGPqV9+/Zq4sRxmjBhlCTpzJnT+ve/x0iSEhL2aNOmDfrll580cODTGjjwaf3ww3bLuFu2\nxKlTJ58818vIyNDGjTEKCuohSerdu6+mTp2kd955UwEB3YthxgDuJibDMIySLqIgp09fKJJxx87/\nokjGxf/YPbizpEso0+b7hpV0Cf8Y77ui98ZEv5IuAaUM77uix/vuzlWzZpV821lBBgAAAKwQkAEA\nAAArBGQAAADACvdBBoAyZGLM1JIuoUy7E/f+A/jnCMgAAAB3mKSkRIWFTVNKylmZTDby8wtUz559\ncp1z8eJFzZz5spKSEpWdna0+ffqpa1c/JSae0pQpE5WTk6OsrCx1795TAQHddeXKFU2e/IJOn05S\nYGAPy11jXnlltgIDg9WoUZOSmGqJICADAADcYWxtzRo1arwaN26i9PRLGjy4v9zcHlf9+g0s56xd\nu1r16tXXvHkLlZqaqqefDpaPz5O65x5HvfPO+7Kzs1N6erqeeaaXPDw8tX//72rcuIleffUNDR7c\nT0FBPXTw4AEZRs5dFY4l9iADAADccRwdHdW48bXQWqlSZdWrV09nziTnOsdkMik9PV2GYejy5XRV\nrVpVtra2KleunOzs7CRJV69eUU5OjqRrofvKlUxlZ2dbxli69G0NHfp8Mc2q9CAgAwAA3MFOnTqp\nAwf+1EMPPZyrPTi4p44c+VsBAV00YEBvjR37b9nYXIt+SUmJGjCgt4KCuqpv3wFydKwpN7fHdfbs\nWQ0bNkBPP/2Mtm+PV+PGD8rRsWZJTKtEscUCAADgDpWenq6XXpqksWNfUOXK9rmO/fjjD3J1baRF\ni97RiRPHNX78SLVo0VKVK9vL2dlFkZGrdObMaYWEvKAOHTqqRo17NH36bElSVlaWJkwYpfDw17R4\n8WtKSkpUly5d5eHhWRLTLHasIAMAANyBsrKyNHXqJPn4dJGnp1ee4xs2RMvT00smk0n33VdHtWrd\nqyNHDuc6x9GxpurXb6g9e37N1b527Wd68klf7duXILO5nGbMmKvIyGVFOZ1ShYAMAABwhzEMQ3Pn\nzlTduvXVu3e/fM9xdnbRrl07JUkpKWd19OgR3XvvfUpOTlJmZoYkKS0tTQkJe3T//fUs/dLS0vT9\n99vUpUtXZWRkyMbGRiaTSVeuXCnyeZUWbLEAAAC4wyQk7NGmTRvUsOEDGjjwaUnSc8+NUFJSoiQp\nIKC7Bg4cqtmzp+uZZ3rJMAwNHz5a1atX108/7dCbb74uySTJUJ8+/dSw4QOWsZcvf08DBgyRyWTS\nY4+5a+3az/TMM70VEBBUAjMtGQRkAACAO0yLFi21ffuuAs9xdKyphQvfytPu5tZGkZGrrttvzJgX\nLB+XL18+3zHKOrZYAAAAAFYIyAAAAIAVtlgAAADchokxU0u6hDJtvm9YsV+TFWQAAADASrEH5K1b\nt6pz587y9vZWREREcV8eAAAAKFCxBuTs7GzNnDlTS5cuVWxsrGJiYnTo0KHiLAEAAAAoULEG5ISE\nBNWtW1d16tSRnZ2dunbtqi1bthRnCQAAAECBTIZhGMV1sS+//FLbtm3T7NnXnvMdFRWlhIQEhYaG\nFlcJAAAAQIGKdQU5vyxuMpmKswQAAACgQMUakF1cXJSYmGh5nZSUJCcnp+IsAQAAAChQsQbkZs2a\n6fDhwzp27JiuXLmi2NhYeXl5FWcJAAAAQIGK9UEhZrNZoaGhGjp0qLKzsxUcHCxXV9fiLAEAAAAo\nULH+kR4AAABQ2vEkPQAAAMAKARkAAACwQkC+gzVu3FgTJ060vM7KylKbNm303HPP3dJ4aWlpWrFi\nheX1jz/+eFNjHT9+XNHR0bd0zaKwdu1aJSUlWV57eXkpJSWlBCsC8kpMTNTw4cPl4+OjTp06KSws\nTFeuXCnpsoAyKzU1Vf7+/vL391fbtm3Vrl07y2vee/j/CMh3sEqVKungwYPKyMiQJH333Xdydna+\n5fHS0tL0ySef/ON+J06cUExMzC1ft7CtW7dOycnJJV0GcF2GYWjUqFHq1KmT4uLitGnTJqWnp2vh\nwoUlXdp1ZWVllXQJwG1xcHDQ+vXrtX79evXu3VsDBw60vLazsyvp8vLF+67kEJDvcO3bt9e3334r\nSYqNjVXXrl0tx86dO6cRI0aoW7du6tmzp/bv3y9JWrx4sUJCQtS/f3917NhRH374oSRpwYIFOnr0\nqPz9/fXKK69IktLT0zVmzBh16dJFL7zwQr4Pe1mwYIF27dolf39/LV++XJmZmQoJCVG3bt0UEBCg\nHTt25Ft7//79NWfOHPXt21dPPvmkEhISNGrUKPn4+OQKCh988IF8fX3l6+ur5cuXS7q2av3kk09q\n6tSp6tq1qwYPHqyMjAx9+eWX+u233/Tvf/9b/v7+lh8ePv74YwUGBqpbt276z3/+c3ufdOA27dix\nQ+XLl1dwcLAkydbWVlOmTNHatWt1+fJlrV27VqNGjdKQIUPk4+OjefPmWfpu375dvXr1UmBgoMaM\nGaNLly7lGvvo0aMKDAy0vD58+LCCgoIkSb/99pv69eunoKAgDRkyxPKD5OrVqxUcHCw/Pz+NHj1a\nly9fliRNnjxZc+fOVf/+/fXqq68W6ecEKCnvvPOO5bens2bN0uDBgyVJ27Zt0+TJkyVJ69evV7du\n3eTr66vXXnstzxjbtm3TmDFjLK/j4+M1duxYy8f/fc+OGzdO6enpkqRFixYpODhYvr6+Cg0NtXx/\n7dOnjxYuXKi+ffvq448/LrqJo2AG7lgtW7Y0/vjjD2P06NFGRkaG4efnZ+zYscMYNmyYYRiGMXPm\nTGPx4sWGYRjG999/b/j5+RmGYRiLFi0yevXqZWRmZhpnz541HnvsMePKlSvGsWPHjK5du1rG37Fj\nh/HII48Yp06dMrKzs42ePXsaP/30U546rK9pGIaxbNkyY/LkyYZhGMahQ4cMT09PIyMjI0+/fv36\nGfPmzTMMwzCWL19utG3b1khKSjIyMzONdu3aGSkpKcbevXsNX19f49KlS8bFixeNp556yti3b59x\n7Ngx48EHHzR+//13wzAMY8yYMUZUVJRl3ISEBMt1OnToYHz44YeGYRjGxx9/bEyZMuUWP+NA4YiM\njDRmz56dp93f39/4448/jM8//9zw8vIy0tLSjIyMDOOJJ54wTp48aZw9e9Z4+umnjUuXLhmGYRjv\nvvuu5T1urV+/fpb3xoIFC4wPP/zQuHLlitGrVy/j7NmzhmEYRmxsrOV9mpKSYun72muvWd4vL774\nojFs2DAjKyurcD8BQAlbtGiRsXTpUsMwDOOnn34yxo8fbxiGYfTq1csIDg42rl69aixcuNBYvXq1\ncerUKaNDhw7G2bNnjStXrhh9+/Y1vv7661zjZWdnGz4+Ppb30pgxY4xvv/3WOHPmjNG3b18jPT3d\nMAzDWLJkifH2228bhmEYqamphmEYRk5OjjF+/Hjj22+/NQzDMHr37m3MnDmz6D8JKBAryHe4Jk2a\n6Pjx44qJiZGnp2euYz///LP8/f0lSe7u7jp37pwuXLggSfL09JSdnZ1q1KihGjVq6OzZs/mO37x5\nc7m4uMjGxkZNmjTRiRMnbljTzz//LD8/P0lSw4YNde+99+rvv//O99z/PiimUaNGcnV1lZOTk+zs\n7FSnTh0lJibq559/VqdOnVSpUiVVrlxZ3t7e2rVrlyTpvvvu04MPPihJatq0aYG1+fj4SJIefvjh\nm5oDUJQMw5DJZCqw3d3dXVWqVFH58uXVsGFDnThxQnv27NGhQ4fUp08f+fv7KyoqSidPnswzTo8e\nPfT5558rOztbGzZskK+vr/7++28dOHBAgwYNkr+/v95++23LXv2DBw/q6aefVrdu3RQdHa2DBw9a\nxurSpYtsbW2L6DMBlLzmzZtr7969SktLU+XKldWsWTP9/vvv+vnnn9W6dWvt2bNHjz/+uGrUqKFy\n5crJ19dXP/30U64xbGxs1K1bN8XExOjcuXPat2+fPDw89Ouvv+rQoUPq3bu3/P39FR0dbfke9MMP\nP6h79+7y8/PTzp07dejQIct4Tz31VLF+DpBXsT4oBEXDy8tL8+bN04cffqhz585Z2o18tkP895uv\n9X4rW1vb6+5z+v/nZWdna8+ePQoNDZUkjRkzRvb29rn65HddSQoJCdHvv/8uJycnvffee7nGt7Gx\nyXUtGxsbZWVlXXes/GrLzMy87rnlypWzjJudnX3d84Di4Orqqri4uFxtFy9eVGJiou6//37t27cv\n3/eeYRhq27Ztvr/itda5c2e99dZbatOmjZo2bSoHBwclJyfL1dVVn376aZ7zJ0+erCVLlqhJkyZa\nu3atdu7caTlWsWLF25wtULrZ2dnJyclJUVFRatWqlerXr68dO3bo5MmTql+/vv7888+bGic4OFij\nR4+WdC3g2trayjAMtWvXTvPnz8917uXLlzVr1iytW7dOzs7OWrhwYa7vYZUqVSq8CeKWsIJcBnTv\n3l0jRoxQ48aNc7W7ubnpiy++kHTtjhQODg55wqy1ypUr59nPmJ8WLVpY/rChY8eOefq5ublZ7mrx\n999/69SpU2rQoIHmzp2r9evXW8LxzXBzc9PmzZt1+fJlpaena/PmzWrdunWBfW52HkBJcXd31+XL\nlxUVFSVJys7OVnh4uAIDAwsMpC1bttQvv/yiI0eOSLr2TTa/386UL19eHh4emj59umX/cf369ZWS\nkqJff/1VknT16lXLSvGlS5dUs2ZNXb16tVTdkQYoLq1bt9b7778vNzc3tW7dWitWrFDTpk0lXXvf\n/fjjj0pNTVVWVpZiY2P12GOP5RmjVq1acnBwUEREhOXvAFq1aqWffvpJx44dk3Tt73oOHz6sjIwM\n2djYyMHBQRcvXszzAzNKHivIZYCLi4sGDBiQp33UqFGWP5arWLGiwsPDCxzHwcFBjzzyiHx9fdWu\nXTs98cQTN3X9xo0by9bWVn5+fgoKCtLTTz+tadOmqVu3brK1tdXcuXNv+S+EmzZtqqCgIPXo0UPS\ntR8GHnroIR0/fvy6fQIDAzVt2jRVqFAh39UyoKSZTCa99dZbmjFjhpYsWaKcnBx5enpqwoQJBfar\nUaOG5s6dqwkTJlhuSzVu3DjVr18/z7ndunVTXFycPDw8JF1bJVu0aJHCwsJ04cIFZWdna8CAAXJ1\nddXYsWPVo0cP1a5dW40aNeIHTNx1WrdurWXLlqlFixaqUKGCzGazZTHGxcVFY8aM0TPPPCPDMNSh\nQ4frfn/09fXVxYsXLe9JR0dHzZ49W+PGjdPVq1clSRMmTNATTzyhgIAA+fr66t5771WLFi2KZZ64\neTxqGgDKoGXLlunChQsaN25cSZcC3DVCQ0PVqlWrXHeSwZ2JFWQAKGNGjhypo0ePKjIysqRLAe4a\n/v7+qlq1qqZOnVrSpaAQsIIMAAAAWOGP9AAAAAArBGQAAADACgEZAAAAsEJABoA7WFpa2j+6t/jN\nOn78OLdJBHDXIiADwB0sLS1NS5cuve7x6z0l80ZOnDhBQAZw1+IuFgBQAn799VfNmzfP8lCOSZMm\nqWrVqpo9e7bS09NVqVIlvfTSS2revLmOHz+u4OBg9e7dW/Hx8bp8+bJmz56t1q1ba9iwYdq+fbtc\nXV1VsWJFrVq1Sv3791erVq20Z88elS9fXkuWLNFzzz2n1NRUZWZmqnnz5poxY4blAT7vvvuuYmJi\nZDKZVKlSJa1cuVLdunXT8ePHVa9ePdWtW1eLFi0qyU8XABQvAwBQrFJTU43/Y+/Ow6qq9j+Ofw4H\nUBEVHIAy57G0tEHLnFEcQsUcUsshnMrZuFqK5qxYpmU2OlNqaKggkkZiiZrodS6TzLyUWgwKKGqg\nwP794a9zN4FDyuTt/Xqenoez9lp7fxf5HD5nnXX2efrpp40DBw4YhmEYGRkZRmJiotGyZUtj97y3\nvrAAACAASURBVO7dhmEYxrfffmu0bNnSSE9PN06fPm3Url3b2L59u2EYhhEaGmr06tXLMAzDOH36\ntNG4ceNs5+/bt6/x0ksvGdeuXTMMwzCysrKMpKQk28/jx4831qxZYxiGYWzYsMF47rnnjNTUVMMw\nDFu/6Oho49lnn83PXwMAFFl8UQgAFLDDhw+rRo0aeuyxxyRJVqtV58+fl4ODg55++mlJUpMmTeTg\n4KD//Oc/KlmypJycnNS6dWtJUsOGDfXGG2/c9BqdO3eWvf31p/isrCwtX75cUVFRysrK0oULF1S8\neHFJ0tdff60+ffrI2dlZ0vWvnAeAfzoCMgAUMCOXnW2GYchiseRo/7Ptz+0QkmRnZ3fLvcVOTk62\nn8PCwnTgwAGtXr1azs7O+uijjxQbG3uH1QPA/z4+pAcABezRRx/Vzz//rEOHDkmSMjMzVb58eV29\nelXR0dGSpOjoaGVkZKhq1ao3PZezs7PS0tJuGphTU1Pl6uoqZ2dnpaamavPmzbZjrVu31meffaZL\nly5JkpKTk23n/bMNAP5pWEEGgALm4uKiRYsWae7cubpy5Yrs7Oz02muv6d133832Ib2FCxdmWzm+\n0bk6d+6szp07q0yZMgoKCsrRp2vXroqMjJS3t7fc3d31+OOPKz093XYsPj5evXr1ktVqVcmSJbV6\n9WrVqVNH1apVU6dOnVS9enU+pAfgH4W7WAAAAAAmbLEAAAAATAjIAAAAgAkBGQAAADAhIAMAAAAm\nBGQAAADAhIAMAAAAmBCQAQAAABMCMgAAAGBCQAYAAABMCMgAAACACQEZAAAAMCEgAwAAACb2hV3A\nrSQmphZ2CQAAAPgfVKFCqVzbi3xABgCgoKWmpuqNN2bq1KmfZbFYNHHiFNWv/4iCg4O0fv06Wa32\nevrppho+fEyu4zMzMzV4cD9VqOCmN998R5IUEDBDMTHHJRmqVKmy/P2nycnJScHBQQoN3SB3dw8F\nBMyXg4ODjhw5rKio7Ro1yq8AZw3gTwRkAAD+YuHCt/Tkk09r1qw3de3aNaWlpengwf3auTNKgYFB\ncnR0VHJy0g3Hf/75Z6pSpZquXLlsaxs92k8lSzpLkhYtWqD169epX78XFRYWqsDAIC1Z8qH27t2j\npk2bKzBwqaZNm5Pv8wSQO/YgAwBgcvnyJR05ckidOvlIkhwcHFSqVClt3Bisvn0HyNHRUZLk6lo2\n1/EJCfHas2e3Onfumq39z3BsGIbS09Nlsfz3WEZGhtLT02Rvb6+tW8P11FNNVbp06XyYHYDbQUAG\nAMDkt9/OysXFRXPmTJev7/OaO3em/vjjD50+/auOHj2sIUMGaOTIoTp+/Fiu4999d76GDRstizkB\n/785c6arS5f2+uWXWPXo0VuS1KdPX7300otKSUnRI4800Nat4erWrWe+zhHAzRGQAQAwyczM1IkT\nP6pr1x5asWKNihcvoVWrViozM0OpqRe1ePFKDR8+WlOmTJRhGNnG7t69Uy4uZVW37oO5ntvff6pC\nQraoSpVqioyMkCR16OCtFSvWaMqUmQoKWq0ePXopOnq3Jk9+Ve++O19ZWVn5PmcA2RGQAQAwqVDB\nTRUquKlevfqSpNat2+jEiRhVqOCuFi1ay2Kx6KGH6stisSglJSXb2O++O6Ldu6PUo0dnTZs2SQcO\n/FszZryerY/ValWbNl7asWN7tvZz5xIVE/ODmjdvpcDAZZo+PUAODo46cGBf/k4YQA58SA8AAJNy\n5crLzc1dv/4aq8qVq2r//n2qWrW6KlasqIMH9+uxx57Qr7/+ooyMDLm4uGQb+/LLI/XyyyMlSQcP\n7ldQ0CpNmTJThmHo7NkzeuCBSjIMQ7t371TlylWzjV2y5EMNHvyyJP3/HmWL7OzslJaWViDzBvBf\nBGQAAP7ilVfGa/r015WRcU33319REydOVYkSJRQQMEP9+j0nBwcHTZo0TRaLRefOJWru3Jl66613\nb3g+wzA0e/ZUXb58WYZhqGbN2ho3boLt+IkTMZKk2rXrSpI6dfJR//695ebmLl/fIfk7WQA5WIy/\nbqAqYviiEAAAAOSHG31RCHuQAQAAkC+effaZwi7hjhCQAQAAUKRkZmYW6vXZgwwAyFNj5m0q7BJQ\nxCwc36WwS0ABWbbsY+3du0fFihWTl1cHZWVlatGit/XDD9/Lw+M+TZ06SwcP7tfmzaGaMmWmpOur\nzBs3fqGDB/crMHC5XFxcVKJECT3ySEN9++0uSVJs7H80ZMjLatnSs0DmQUAGAADAXYuO/lY//fSj\nPvpouezs7JSZman58+eqZ88+8vDw0IgRQ3Tq1MmbniM+Pk7z5r0jR0dHffFFmK5cuaz58xfpt9/O\nasqUiQUWkNliAQAAgLt26tRJPfFEY9nZXY+XVqtVrq5l5eHhIUlyd/fQhQsXcnzLpPl+EXXq1LV9\nnfv1xw/KYrHI3d1DFy9eKIBZXEdABgAAwF2rVq2GDhzYb/v2x8zMzFzDcOnSZRQfHydJiouLU3Jy\nku241WrN1t88viBvvMYWCwAAANy1Jk2a6ujRw3rppRdVooST2rZtn2u/GjVqqly58ho2bJAeeqhe\nji/cKQq4DzIAIE/xIT38FR/SQ1HFfZABAACA20BABgAAAEwIyAAAAIAJARkAAAAwISADAAAAJgRk\nAAAAwIT7IAMAAOCG8vrWjbdz279mzZ5Qr14vaNSoVyRJa9Z8qj/+uKJBg17K01puhBVkAAAAFCmO\njo6KivpaKSkphXJ9AjIAAACKFKvVqi5dntXatatzHIuL+11jxgzTgAG9NWbMMMXFxeX59QnIAAAA\nKHK6deupr77aqkuXLmVrX7DgTXXo4K3AwCB5eXXQwoXz8vzaBGQAAAAUOSVLOqtDB28FBwdlaz92\n7Ki8vDpIkjp08NbRo4fz/NoEZAAAABRJzz3XR5s3hyot7Y8b9rFYLHl+XQIyAAAAiqTSpcvI07Ot\nNm8OtbXVr/+Itm37UpIUEbFFDz/cMM+ve8vbvP3+++969dVXde7cOdnZ2em5557TgAEDtGjRIq1b\nt05ly5aVJPn5+ally5aSpI8//ljBwcGys7PT5MmT1bx5c0lSVFSUZs+eraysLPXs2VNDhw7N8wkB\nAAAg79zObdnyU+/efbV+/Trb47FjxysgYIY+++xTubi4auLEqXl+TYthGMbNOiQkJCgxMVH16tXT\npUuX1L17d73//vvasmWLnJycNGjQoGz9T548KT8/PwUHBys+Pl6+vr768svrKb99+/ZasWKF3N3d\n1aNHDy1YsEA1a9a8aYGJial3OUVI0tq1qxUWFiqLRapevab8/adqwYI3FBNzXJKhSpUqy99/mpyc\nnHKMPXnyJ82bN0eXL1+WnZ1FS5Z8oszMDA0fPsTWJzExXu3aPaMxY/6l4OAghYZukLu7hwIC5svB\nwUFHjhxWVNR2jRrlV4CzBlAY8vqeqbj3FXbAAm6kQoVSubbfcgXZzc1Nbm5ukiRnZ2dVr15d8fHx\nN+wfGRkpb29vOTo6qlKlSqpSpYqOHj0qSapSpYoqVaokSfL29lZkZOQtAzLuXmJigoKD12rVqnUq\nVqy4Xn99giIjIzR6tJ9KlnSWJC1atEDr169Tv34vZhubkZGhmTNf1+TJM1SrVm1duJAie3t7FStW\nTCtXrrH1Gziwr1q2bC1JCgsLVWBgkJYs+VB79+5R06bNFRi4VNOmzSmwOQMAANypv/VNemfOnNHx\n48fVoEEDHTx4UKtXr1ZISIjq16+vCRMmqEyZMoqPj1eDBg1sY9zd3W2B2sPDI1v7n8H5ZlxdnWRv\nb/07ZeIvsrKuyDCy5OzsIGfnEjKMDNWoUVlVq94nSTIMQxZLlpydi+V4JbVjxw499NCDevrpxyXl\n/korNjZWFy+mqG3bFrJYLLK3t5OrawnZ2WWpXLlS+vbb7Wrb1lM1alTM/8kCAIqcG63SAUXVbQfk\ny5cva/To0fL395ezs7P69Omj4cOHy2KxaOHChZo7d64CAgKU244Ni8WirKysXNtvJTn5yu2WiBuw\ns3PSc8+9oFatWqlYsWJq1Ogp1anTQImJqZozZ7r27NmtqlWrafDgkTm2tHz/fYyuXs1Qv34DlJKS\nrDZt2umFFwZk67Nu3Qa1atVW585dv09hz57Pq1u37qpWrYaqVKmtjz4ap/nzF7FdBgD+oXj+R1F1\noxdvt3UXi2vXrmn06NHq3Lmz2rVrJ0kqX768rFar7Ozs1LNnT3333XeSrq8Sm7/RJD4+Xm5ubjds\nR/67ePGidu3aoXXrNikkZKvS0v7Ql19+IUny95+qkJAtqlKlmiIjI3KMzcjI1NGjRzRlyix98MEy\nRUV9o/3792XrExkZobZt29sed+jgrRUr1mjKlJkKClqtHj16KTp6tyZPflXvvjs/1xdLAAAARcUt\nA7JhGJo0aZKqV68uX19fW3tCQoLt523btqlWrVqSJE9PT4WHh+vq1as6ffq0YmNj9cgjj+jhhx9W\nbGysTp8+ratXryo8PFyenp75MCX81f79+3TffffL1dVV9vb2atGitb777r/bW6xWq9q08dKOHdtz\njHVzc1PDho/JxcVFxYsXV5MmTXXiRIzt+E8/nVBGRqbq1n0wx9hz5xIVE/ODmjdvpcDAZZo+PUAO\nDo46cGBfjr4AAABFxS23WBw4cEChoaGqXbu2fHx8JF2/pdvmzZsVE3M9KFWsWFEzZsyQJNWqVUsd\nO3bUM888I6vVqilTpshqvb6HeMqUKRo8eLAyMzPVvXt3W6hG/nJ399CxY98rLS1NxYoV04ED/1bd\nug/qzJnTeuCBSjIMQ7t371TlylVzjG3cuInWrPlEaWlpsre316FDB9Wr1/O249u2fSkvr/Y5xknS\nkiUfavDglyVJ6enpslgssrOzU1paWr7MEwAAIC/cMiA/8cQT+vHHH3O0/3nP49wMGzZMw4YNy3XM\nzcYhf9SrV1+tW7fRwIEvyGq1qnbtOurSpZvGjHlZly9flmEYqlmztsaNmyBJ2rVrh2Jijmvw4JdV\nunRp9er1ggYP7i+LRWrSpKmefrqZ7dzbt2/TW28tzHHNP1eZa9euK0nq1MlH/fv3lpubu3x9h+To\nDwAAiqbxmyfn6fnmdZp10+OGYWj48MHq33+gmjRpKkmKjPxK4eGbtGDBojyt5UZueR/kwsbGfgC4\nt3AfZPwV90G+txV0QJakU6dO6vXXJ2j58tXKysqSr+/zmj9/kSpWfCBPa7nj+yADAAAABal69Zpq\n2rS5Vq8OVFraH+rQwVsVKz6gLVs2a8OGdbp2LUP16z8iP79XlZWVpYCA6frppxMyDENdunRTz569\n7+r6BGQAAAAUOb6+QzVw4AtycHDQ0qWf6tSpk4qK+loffrhc9vb2euON2dq2LUIVKz6glJQL+uST\ntZKk1NS7331AQL4NvF2Iv+LtQgAA8leJEiXUpk07lShRQo6Ojtq/f5+OH/9Bgwf3lySlp6fJ3d1d\nTz75lH799Re9885batKkqRo3fuqur01ABgAAQJFksVhksVy/K7FhGPL27qIhQ3LeCCIw8DNFR3+r\n4OAgffPNdr322qS7uu5tfVEIAAAAUJieeOJJbd/+lVJSUiRJFy6kKC4uTsnJyZIMeXq21aBBL2X7\nvoY7xQoyAAAAbuh27jpREGrUqClf36EaO3a4DCNLVqu9xo+fKDs7q+bOnSHDkCwWadiw0Xd9LQIy\nAAAAiqRBg17K9rhduw5q165Djn4rVqzJ0+uyxQIAAAAwISADAAAAJgRkAAAAwISADAAAAJgQkAEA\nAAATAjIAAABgQkAGAAAATAjIAAAAgAkBGQAAADAhIAMAAAAmBGQAAADAhIAMAAAAmBCQAQAAABMC\nMgAAAGBCQAYAAABMCMgAAACACQEZAAAAMCEgAwAAACYEZAAAAMCEgAwAAACYEJABAAAAEwIyAAAA\nYEJABgAAAEwIyAAAAIAJARkAAAAwuWVA/v3339WvXz917NhR3t7eCgwMlCSlpKTI19dX7dq1k6+v\nry5cuCBJMgxDs2bNkpeXlzp37qxjx47ZzrVx40a1a9dO7dq108aNG/NpSgAAAMCdu2VAtlqtmjBh\ngrZs2aK1a9dqzZo1OnnypBYvXqwmTZooIiJCTZo00eLFiyVJUVFRio2NVUREhGbOnKlp06ZJuh6o\n33vvPa1bt06ff/653nvvPVuoBgAAAIqKWwZkNzc31atXT5Lk7Oys6tWrKz4+XpGRkerataskqWvX\nrtq2bZsk2dotFosaNmyoixcvKiEhQbt27VLTpk3l4uKiMmXKqGnTptq5c2c+Tg0AAAD4++z/Tucz\nZ87o+PHjatCggc6fPy83NzdJ10N0UlKSJCk+Pl4eHh62MR4eHoqPj8/R7u7urvj4+Fte09XVSfb2\n1r9TJpDvKlQoVdglAMA9g+dM3GtuOyBfvnxZo0ePlr+/v5ydnW/YzzCMHG0Wi+WG7beSnHzldksE\nCkxiYmphlwAA9wyeM1FU3ejF223dxeLatWsaPXq0OnfurHbt2kmSypUrp4SEBElSQkKCypYtK+n6\ninFcXJxtbFxcnNzc3HK0x8fH21agAQAAgKLilgHZMAxNmjRJ1atXl6+vr63d09NTISEhkqSQkBC1\nadMmW7thGDp8+LBKlSolNzc3NWvWTLt27dKFCxd04cIF7dq1S82aNcunaQEAAAB35pZbLA4cOKDQ\n0FDVrl1bPj4+kiQ/Pz8NHTpUY8eOVXBwsO677z4tXLhQktSyZUvt2LFDXl5eKlGihObMmSNJcnFx\n0fDhw9WjRw9J0ogRI+Ti4pJf8wIAAADuiMXIbXNwEVIU9i2NmbepsEtAEbNwfJfCLgEosnjOxF/x\nnImi6q72IAMAAAD/FARkAAAAwISADAAAAJgQkAEAAAATAjIAAABgQkAGAAAATAjIAAAAgAkBGQAA\nADAhIAMAAAAmBGQAAADAhIAMAAAAmBCQAQAAABMCMgAAAGBCQAYAAABMCMgAAACACQEZAAAAMCEg\nAwAAACYEZAAAAMCEgAwAAACYEJABAAAAEwIyAAAAYEJABgAAAEwIyAAAAIAJARkAAAAwISADAAAA\nJgRkAAAAwISADAAAAJgQkAEAAAATAjIAAABgQkAGAAAATAjIAAAAgAkBGQAAADAhIAMAAAAmtwzI\nEydOVJMmTdSpUydb26JFi9S8eXP5+PjIx8dHO3bssB37+OOP5eXlpfbt22vnzp229qioKLVv315e\nXl5avHhxHk8DAAAAyBv2t+rQrVs39e3bV6+99lq29hdffFGDBg3K1nby5EmFh4crPDxc8fHx8vX1\n1ZdffilJmjFjhlasWCF3d3f16NFDnp6eqlmzZh5OBQAAIO+lp6dr5Mghunr1mjIzM9W6dRsNGvSS\nAgJmKCbmuCRDlSpVlr//NDk5OWUb+/vvv+mFF3qqcuUqkqR69epr/Hh/XblyWcOHD7H1S0yMV7t2\nz2jMmH8pODhIoaEb5O7uoYCA+XJwcNCRI4cVFbVdo0b5FeTU/7FuGZAbNWqkM2fO3NbJIiMj5e3t\nLUdHR1WqVElVqlTR0aNHJUlVqlRRpUqVJEne3t6KjIwkIAMAgCLP0dFRCxd+JCcnJ2VkZGjYsEF6\n8smnNXq0n0qWdJYkLVq0QOvXr1O/fi/mGF+xYkWtXLkmW5uTU8lsbQMH9lXLlq0lSWFhoQoMDNKS\nJR9q7949atq0uQIDl2ratDn5N0lkc8uAfCOrV69WSEiI6tevrwkTJqhMmTKKj49XgwYNbH3c3d0V\nHx8vSfLw8MjW/mdwvhVXVyfZ21vvtEwgX1SoUKqwSwCAe8b/xnNmaUnSH3/8IYvFUNmyJVW16n2S\nJMMwZLFkydm5WI65pqeXlL299aa/g9jYWF28mKK2bVvIYrHI3t5Orq4lZGeXpXLlSunbb7erbVtP\n1ahRMf+mh2zuKCD36dNHw4cPl8Vi0cKFCzV37lwFBATIMIwcfS0Wi7KysnJtvx3JyVfupEQgXyUm\nphZ2CQBwz/hfeM7MzMzUoEH9dPbsaT37bE/df391JSamas6c6dqzZ7eqVq2mwYNH5phrUtJlnT59\nWp06dVbJks4aMmSYGjR4NFufdes2qFWrtjp37pIkqWfP59WtW3dVq1ZDVarU1kcfjdP8+Yv+J36P\nRc2NXrjcUUAuX7687eeePXvq5ZdflnR9lTguLs52LD4+Xm5ubpJ0w3YAAICizmq1auXKNUpNTZW/\n/zidOnVS1avXlL//VGVmZurtt+cpMjJC3t5dso0rV6681q/frDJlXBQTc1z+/uP06adrbVszJCky\nMkKTJ8+wPe7QwVsdOnhLkpYvX6wePXopOnq3tm4Nl5ubu0aOfEV2dtyILD/d0W83ISHB9vO2bdtU\nq1YtSZKnp6fCw8N19epVnT59WrGxsXrkkUf08MMPKzY2VqdPn9bVq1cVHh4uT0/PvJkBAABAASlV\nqpQeffRxRUfvsbVZrVa1aeOlHTu25+jv6OioMmVcJEl16z6o+++vqNOnf7Ud/+mnE8rIyFTdug/m\nGHvuXKJiYn5Q8+atFBi4TNOnB8jBwVEHDuzLh5nB7JYryH5+ftq3b5+Sk5PVokULjRo1Svv27VNM\nTIyk6xvPZ8y4/qqnVq1a6tixo5555hlZrVZNmTJFVuv1/cNTpkzR4MGDlZmZqe7du9tCNQAAQFGW\nnJwse3t7lSpVSunpadq/f5+ef76/zpw5rQceqCTDMLR7905Vrlw117GlS5eW1WrV2bNndObMad1/\n/3/3Em/b9qW8vNrnet0lSz7U4MHX36VPT0+XxWKRnZ2d0tLS8mWe+K9bBuQFCxbkaOvZs+cN+w8b\nNkzDhg3L0d6yZUu1bNnyb5YHAABQuM6fP6fZs6cqKytLWVlZ8vT00tNPN9OIEYN1+fJlGYahmjVr\na9y4CZKkXbt2KCbmuAYPfllHjhzU0qUfy2q1ymq107hxE1W6dBnbubdv36a33lqY45onTlxfiKxd\nu64kqVMnH/Xv31tubu7y9R2Soz/ylsXI7ZN1RUhR2JA+Zt6mwi4BRczC8V1u3Qn4h+I5E3/FcyaK\nqht9SI8d3gAAAIAJARkAAAAwueMvCgEAALgd4zdPLuwSUMTM6zSrsEu4KVaQAQAAABMCMgAAAGBC\nQAYAAABMCMgAAACACQEZAAAAMCEgAwAAACYEZAAAAMCEgAwAAACYEJABAAAAEwIyAAAAYEJABgAA\nAEwIyAAAAIAJARkAAAAwISADAAAAJgRkAAAAwISADAAAAJgQkAEAAAATAjIAAABgQkAGAAAATAjI\nAAAAgAkBGQAAADAhIAMAAAAmBGQAAADAhIAMAAAAmBCQAQAAABMCMgAAAGBCQAYAAABMCMgAAACA\nCQEZAAAAMLmtgDxx4kQ1adJEnTp1srWlpKTI19dX7dq1k6+vry5cuCBJMgxDs2bNkpeXlzp37qxj\nx47ZxmzcuFHt2rVTu3bttHHjxjyeCgAAAHD3bisgd+vWTUuXLs3WtnjxYjVp0kQRERFq0qSJFi9e\nLEmKiopSbGysIiIiNHPmTE2bNk3S9UD93nvvad26dfr888/13nvv2UI1AAAAUFTcVkBu1KiRypQp\nk60tMjJSXbt2lSR17dpV27Zty9ZusVjUsGFDXbx4UQkJCdq1a5eaNm0qFxcXlSlTRk2bNtXOnTvz\neDoAAADA3bnjPcjnz5+Xm5ubJMnNzU1JSUmSpPj4eHl4eNj6eXh4KD4+Pke7u7u74uPj7/TyAAAA\nQL6wz+sTGoaRo81isdyw/VZcXZ1kb2/Nk9qAvFKhQqnCLgEAgHtWUf87escBuVy5ckpISJCbm5sS\nEhJUtmxZSddXjOPi4mz94uLi5ObmJg8PD+3bt8/WHh8fr8aNG9/yOsnJV+60RCDfJCamFnYJAADc\ns4rK39EbBfU73mLh6empkJAQSVJISIjatGmTrd0wDB0+fFilSpWSm5ubmjVrpl27dunChQu6cOGC\ndu3apWbNmt3p5QEAAIB8cVsryH5+ftq3b5+Sk5PVokULjRo1SkOHDtXYsWMVHBys++67TwsXLpQk\ntWzZUjt27JCXl5dKlCihOXPmSJJcXFw0fPhw9ejRQ5I0YsQIubi45NO0AAAAgDtjMXLbHFyEFIUl\n+DHzNhV2CShiFo7vUtglAEUWz5n4K8cH9926E/5R5nWaVdglSMqHLRYAAADA/yICMgAAAGBCQAYA\nAABMCMgAAACACQEZAAAAMCEgAwAAACYEZAAAAMCEgAwAAACYEJABAAAAEwIyAAAAYEJABgAAAEwI\nyAAAAIAJARkAAAAwISADAAAAJgRkAAAAwISADAAAAJgQkAEAAAATAjIAAABgQkAGAAAATAjIAAAA\ngAkBGQAAADAhIAMAAAAmBGQAAADAhIAMAAAAmBCQAQAAABMCMgAAAGBCQAYAAABMCMgAAACACQEZ\nAAAAMLEv7AIAFI45c6br2293ydXVVZ9+us7WHhwcpPXr18lqtdfTTzfV8OFjso1LT0/XyJFDdPXq\nNWVmZqp16zYaNOglSVJAwAzFxByXZKhSpcry958mJycnBQcHKTR0g9zdPRQQMF8ODg46cuSwoqK2\na9Qov4KcNgAAt8QKMvAP9cwznTV//qJsbQcP7tfOnVEKDAzSqlXr1KdPvxzjHB0dtXDhRwoM/Ewr\nV65RdPS3+v777yRJo0f7KTDwMwUGBsnd3UPr118P3mFhoQoMDFKtWnW0d+8eGYahwMClGjBgcP5P\nFACAv4mADPxDNWz4mEqXLp2tbePGYPXtO0COjo6SJFfXsjnGWSwWOTk5SZIyMjKUmZkhi8UiSSpZ\n0lmSZBiG0tPT9f/Ntr7p6Wmyt7fX1q3heuqppjmuDwBAUUBABmBz+vSvOnr0sIYMGaCRI4fq+PFj\nufbLzMzUiy8+r86dvfTEE0+qXr36tmNz5kxXly7t9csvserRo7ckqU+fvnrppReVkpKiXwdXwAAA\nIABJREFURx5poK1bw9WtW88CmRMAAH/XXe9B9vT0VMmSJWVnZyer1aoNGzYoJSVFr7zyis6ePauK\nFSvqnXfeUZkyZWQYhmbPnq0dO3aoePHimjt3rurVq5cX8wCQBzIzM5SaelGLF6/U8ePHNGXKRK1b\nF2pbIf6T1WrVypVrlJqaKn//cTp16qSqV68pSfL3n6rMzEy9/fY8RUZGyNu7izp08FaHDt6SpOXL\nF6tHj16Kjt6trVvD5ebmrpEjX5GdHa/XAQBFQ578RQoMDFRoaKg2bNggSVq8eLGaNGmiiIgINWnS\nRIsXL5YkRUVFKTY2VhEREZo5c6amTZuWF5cHkEcqVHBXixatZbFY9NBD9WWxWJSSknLD/qVKldKj\njz6u6Og92dqtVqvatPHSjh3bs7WfO5eomJgf1Lx5KwUGLtP06QFycHDUgQP78mU+AADciXxZsomM\njFTXrl0lSV27dtW2bduytVssFjVs2FAXL15UQkJCfpQA4A60aNFSBw/ulyT9+usvysjIkIuLS7Y+\nycnJSk1NlSSlp6dp//59qlKlqgzD0JkzpyVd34O8e/dOVa5cNdvYJUs+1ODBL///2HRZLBbZ2dkp\nLS0tn2cGAMDty5PbvA0aNEgWi0W9evVSr169dP78ebm5uUmS3NzclJSUJEmKj4+Xh4eHbZyHh4fi\n4+NtfQEUnKlT/XX48AGlpKTo2Wef0aBBQ+Xt7aOAgBnq1+85OTg4aNKkabJYLDp3LlFz587UW2+9\nq/Pnz2n27KnKyspSVlaWPD291LRpc2VlZWn27Km6fPmyDMNQzZq1NW7cBNv1TpyIkSTVrl1XktSp\nk4/69+8tNzd3+foOKZTfAQAAubnrgPzZZ5/J3d1d58+fl6+vr6pXr37DvoZh5Gj7697Gv3J1dZK9\nvfVuywTyVIUKpQq7hLv2wQeLcm1ftOidHG0VKpRSYOCK///5MW3eHJbr2ODgz294vQoVGqlp00a2\nxyNGvKQRI176OyUDAP5HFPW/o3cdkN3d3SVJ5cqVk5eXl44ePapy5copISFBbm5uSkhIUNmy128V\n5eHhobi4ONvYuLi4W64eJydfudsSgTyXmJha2CUAAHDPKip/R28U1O8qIF+5ckVZWVlydnbWlStX\ntHv3bg0fPlyenp4KCQnR0KFDFRISojZt2ki6fseLVatWydvbW0eOHFGpUqXYXoF70vjNkwu7BBQx\n8zrNKuwSAAB55K4C8vnz5zVixAhJ1++L2qlTJ7Vo0UIPP/ywxo4dq+DgYN13331auHChJKlly5ba\nsWOHvLy8VKJECc2ZM+fuZwAAAADkobsKyJUqVdKmTZtytLu6uiowMDBHu8Vi0dSpU+/mkgAAAEC+\n4s78AAAAgAkBGQAAADAhIAMAAAAmBGQAAADAhIAMAAAAmBCQAQAAABMCMgAAAGBCQAYAAABMCMgA\nAACACQEZAAAAMCEgAwAAACYEZAAAAMCEgAwAAACYEJABAAAAEwIyAAAAYEJABgAAAEwIyAAAAIAJ\nARkAAAAwISADAAAAJgRkAAAAwISADAAAAJgQkAEAAAATAjIAAABgQkAGAAAATAjIAAAAgAkBGQAA\nADAhIAMAAAAmBGQAAADAhIAMAAAAmBCQAQAAABMCMgAAAGBCQAYAAABMCMgAAACASYEH5KioKLVv\n315eXl5avHhxQV8eAAAAuKkCDciZmZmaMWOGli5dqvDwcG3evFknT54syBIAAACAmyrQgHz06FFV\nqVJFlSpVkqOjo7y9vRUZGVmQJQAAAAA3VaABOT4+Xh4eHrbH7u7uio+PL8gSAAAAgJuyL8iLGYaR\no81isdx0TIUKpfKrnNu25s0XCrsEFDn8mwBuhOdM5MS/CdxbCnQF2cPDQ3FxcbbH8fHxcnNzK8gS\nAAAAgJsq0ID88MMPKzY2VqdPn9bVq1cVHh4uT0/PgiwBAAAAuKkC3WJhb2+vKVOmaPDgwcrMzFT3\n7t1Vq1atgiwBAAAAuCmLkdvGYAAAAOAfim/SAwAAAEwIyAAAAIAJARm4iTp16mju3Lm2x8uWLdOi\nRYsKsSIAKFoMw1CfPn20Y8cOW9sXX3yhQYMGFWJVwN0hIAM34ejoqIiICCUlJRV2KQBQJFksFk2f\nPl1z585Venq6rly5onfeeUdTp04t7NKAO1agd7EA7jX29vbq1auXAgMD9corr2Q7dvbsWfn7+ysp\nKUlly5ZVQECA7r///kKqFAAKT+3atdW6dWstWbJEV65ckY+PjypXrqyNGzdq9erVunbtmh599FFN\nmTJFWVlZmjhxomJiYmQYhp577jn179+/sKcAZMMKMnALL7zwgsLCwpSampqtfebMmeratavCwsLU\nuXNnzZo1q5AqBIDCN3LkSIWFhWnnzp0aMmSITpw4oa+++kpBQUEKDQ1VZmamwsPDdezYMSUnJyss\nLEybN29W165dC7t0IAdWkIFbcHZ2lo+Pjz755BMVL17c1n7o0CHbfmQfHx/NmzevsEoEgELn5OSk\nZ555Rk5OTnJ0dNS3336r7777Tt27d5ckpaWlycPDQ82aNdN//vMfzZo1Sy1btlSzZs0KuXIgJwIy\ncBsGDBigbt26qVu3bjfsY7FYCrAiACh67OzsZGf33zenu3fvrrFjx+bot2nTJkVFRenTTz9VRESE\nZs6cWZBlArfEFgvgNri4uKhDhw4KDg62tT366KMKDw+XJIWFhenxxx8vrPIAoMhp0qSJtmzZYvuQ\nc3Jysn777TclJSXJMAx17NhRo0aN0rFjxwq5UiAnVpCB2zRw4ECtXr3a9njy5Mny9/fXsmXLbB/S\nAwBcV6dOHY0cOVK+vr7KysqSg4ODpk2bJqvVqkmTJskwDFksFo0bN66wSwVy4KumAQAAABO2WAAA\nAAAmBGQAAADAhIAMAAAAmBCQAQAAABMCMgAAAGBCQAYAAABMCMgAUAT169dPX3/9daFfa9KkSdq/\nf78kacKECVq1apUkadGiRXrjjTckSZGRkbafAeB/AV8UAgBFTGZmZmGXYDN79uxb9mnTpo3atGlT\nANUAQMEgIANALv78FrDdu3crOTlZfn5+at++vSTpX//6l/7zn//o2rVrqly5subMmaMyZcpo7969\nmj17turVq6eYmBhZrVbNnTtXNWvWlCRt3LhRa9asUWZmppydnTVt2jRVr15dGzZsUHh4uMqWLauf\nf/45Ryi9dOmSAgIC9OOPPyo9PV1PPvmkJk6cKKvVqvfee0+bN29WsWLFZLFY9Mknn8jBwUGvvfaa\nTp48KXt7e1WrVk0LFy686Xy//fZbLV++XHFxcerYsaP8/PwkXV9dHjhwoFq3bn3DsRs2bNA333yj\nd999V3v37tWcOXPUoEEDHTp0SBaLRW+//bZq1KghSXr77bf1xRdfyMXFRY0bN9aePXu0YcOGO/7/\nBAD5gYAMADdgsVgUFBSkU6dOqU+fPnriiSdUrlw5TZo0SWXLlpV0PfAtWbLE9nW5P/74oyZPnqzG\njRtr48aNevXVV7Vhwwbt379fW7Zs0erVq+Xo6KgdO3bI399fQUFBkqSDBw8qNDRUlStXzlFHQECA\nGjVqpNmzZysrK0vjxo3T+vXr1b59ey1btkx79uxR8eLFdenSJRUvXlxff/21Ll68qC+++EKSdOHC\nhVvO9eeff9aKFSuUnp6u3r1769FHH71pKL6ZkydPKiAgQDNmzNCHH36oDz74QPPnz9f27dv19ddf\nKzQ0VMWLF9fo0aPv6PwAkN8IyABwAz179pQkVa9eXQ899JAOHz6sNm3aKDQ0VGFhYbp27ZquXLmi\nqlWr2sZUqVJFjRs3liT5+Pjo9ddf16VLl7R9+3bFxMTYzmkYhi5evGgb99hjj+UajiVp+/btOnr0\nqFasWCFJSktLk7u7u5ydnVWtWjWNHz9ezZs3V6tWreTs7Ky6devq1KlTmj59uho3bqxWrVr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6/vkLyeIu5BFSs+oMDAz27aJzg4zPZz3boPacKEh2yP77vvfoWE5NwW0bNnb/XsmftWtvLlK+jN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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "Observations:\n- No noticable different between genders\n- Senior citizens are nearly twice as likely to churn\n- Having a partner or dependent sign up for our service reduces churn. Later I will investigate having both partner and dependent and having neither\n- Phone service does not seem to affect churn rate\n- Using any additional service reduces churn\n- Longer term contracts reduce churn\n- Paperless billing seems to increase churn\n- Paying by electronic checks seems to significantly increase churn. Investigate correlation vs causation"
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:43.629681Z",
          "end_time": "2018-09-14T21:45:43.828309Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "def partner_and_dependant(row):\n    if row['partner'] == 'No' and row['dependents'] == 'No':\n        return 'Neither'\n    if row['partner'] == 'No':\n        return 'Just dependents'\n    if row['dependents'] == 'No':\n        return 'Just partner'\n    return 'Both'\n\ndata['partner_and_dependant'] = data.apply(lambda row: partner_and_dependant(row), axis=1)",
      "execution_count": 15,
      "outputs": []
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:43.829998Z",
          "end_time": "2018-09-14T21:45:43.993417Z"
        },
        "scrolled": true,
        "trusted": true
      },
      "cell_type": "code",
      "source": "ax = sns.countplot('partner_and_dependant', data=data, hue='churn')\npersonal.show_percent(ax, 2)",
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<matplotlib.figure.Figure at 0x7fed81f26588>",
            "image/png": 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C19cXAF9fXy5fvgxAdHQ0/v7+zu38/f2Jjo5O1e7n50d0dPRD1SAiIvKo+VvX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\nu6gS1/B8wnW7elxlcuN3XTJ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7lueee+6OKz1vb2+efvppGjduTO3ate+4q9PT05OZM2fy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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "Just as expected, churn rate is lower if both dependents and partner is signed up.\nHowever, churn rate is lower with only dependents against only partner. I would expect partner to matter more. Maybe the sample size is small?"
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "### Numeric variables"
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "#### Tenure"
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:43.994965Z",
          "end_time": "2018-09-14T21:45:44.005579Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "data.tenure.describe()",
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 17,
          "data": {
            "text/plain": "count    7043.000000\nmean     32.371149  \nstd      24.559481  \nmin      0.000000   \n25%      9.000000   \n50%      29.000000  \n75%      55.000000  \nmax      72.000000  \nName: tenure, dtype: float64"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:44.007457Z",
          "end_time": "2018-09-14T21:45:44.144357Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "sns.distplot(data.tenure, kde=False);",
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<matplotlib.figure.Figure at 0x7fed81686da0>",
            "image/png": 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MQWkDAGAIShsAAENQ2gAAGILSBgDAEJQ2AACGoLQBADAEpQ0AgCEobQAADEFpAwBgCK7y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\nAABJRU5ErkJggg==\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "There are many new clients and many very old clients. Not exactly the distribution I was expecting, but most likely the oldest clients were here before data collection was started."
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:44.145795Z",
          "end_time": "2018-09-14T21:45:44.287633Z"
        },
        "scrolled": false,
        "trusted": true
      },
      "cell_type": "code",
      "source": "_, ax = plt.subplots(1, 1)\nplt.suptitle('Churn based hist=enure')\nsns.distplot(data.tenure[data.churn == 'No'], hist=False, label='No')\nsns.distplot(data.tenure[data.churn == 'Yes'], hist=False, label='Yes');\nax.legend();",
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<matplotlib.figure.Figure at 0x7fed81f03358>",
            "image/png": 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OP8TEvQJcURSSgxKpazfQbGpxdTlCCOExJMA9RE1XD9zXPXZhO9PpJ5PJvuhC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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "There's a very high rate of churn for new customers, then it decreases with tenure."
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "#### Monthly charges"
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:44.288931Z",
          "end_time": "2018-09-14T21:45:44.295452Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "data.monthly_charges.describe()",
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 20,
          "data": {
            "text/plain": "count    7043.000000\nmean     64.761692  \nstd      30.090047  \nmin      18.250000  \n25%      35.500000  \n50%      70.350000  \n75%      89.850000  \nmax      118.750000 \nName: monthly_charges, dtype: float64"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:44.296991Z",
          "end_time": "2018-09-14T21:45:44.429513Z"
        },
        "scrolled": true,
        "trusted": true
      },
      "cell_type": "code",
      "source": "sns.distplot(data.monthly_charges, kde=False);",
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<matplotlib.figure.Figure at 0x7fed815cf828>",
            "image/png": 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///3vlZycLEl6//339eyzz+r48eN6/PHH9cgjj0iSli1bpn379uncuXPq1auX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\njo7O0uo+AAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:44.430894Z",
          "end_time": "2018-09-14T21:45:44.638889Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "_, ax = plt.subplots(1, 1)\nplt.suptitle('Churn based on monthly charges');\nsns.distplot(data.monthly_charges[data.churn == 'No'], hist=False, label='No')\nsns.distplot(data.monthly_charges[data.churn == 'Yes'], hist=False, label='Yes');\nax.legend();",
      "execution_count": 22,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<matplotlib.figure.Figure at 0x7fed8154ca58>",
            "image/png": 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dCOG3LljK+LjsUyy2BtC6MDc1khgaz5DYgQyM7k+I1uDtEEWQuvPOJXzzm1/jnnu+2eb5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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "Very low churn rate if monthly charges are low. Our cheapest service price is lower than competition. However, churn increases substancially if montly charges are high. \n\nAt this point I could compare some of our premium features to competition. However, this is unavailable in this dataset."
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:44.641461Z",
          "end_time": "2018-09-14T21:45:44.656826Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "more_expensive = data[data.monthly_charges > 40]\nme_count = len(more_expensive)\nme_percent = me_count / len(data)\n\nprint(me_count, \",\", me_percent)",
      "execution_count": 23,
      "outputs": [
        {
          "output_type": "stream",
          "text": "5205 , 0.7390316626437597\n",
          "name": "stdout"
        }
      ]
    },
    {
      "metadata": {
        "variables": {
          " '{0:.2%}'.format(me_percent) ": "<p><strong>NameError</strong>: name &#39;me_percent&#39; is not defined</p>\n",
          "me_count": "<p><strong>NameError</strong>: name &#39;me_count&#39; is not defined</p>\n"
        }
      },
      "cell_type": "markdown",
      "source": "I have 5205 clients, 74% of total who pay for more than the cheapest option."
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "#### Total charges"
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:44.658683Z",
          "end_time": "2018-09-14T21:45:44.667473Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "data.total_charges.describe()",
      "execution_count": 24,
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 24,
          "data": {
            "text/plain": "count    7043.000000\nmean     2279.734304\nstd      2266.794470\nmin      0.000000   \n25%      398.550000 \n50%      1394.550000\n75%      3786.600000\nmax      8684.800000\nName: total_charges, dtype: float64"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:44.669115Z",
          "end_time": "2018-09-14T21:45:44.883370Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "sns.distplot(data.total_charges, kde=False);",
      "execution_count": 25,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<matplotlib.figure.Figure at 0x7fed814c37b8>",
            "image/png": 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ePXtofBIeQHV1ddq/f79ycnIknZ/ZVVVVKSMjQ5K0aNGi4Hu7vLxcixYtkiRl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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:44.885649Z",
          "end_time": "2018-09-14T21:45:45.053158Z"
        },
        "scrolled": true,
        "trusted": true
      },
      "cell_type": "code",
      "source": "figure, ax = plt.subplots(1, 1);\nplt.suptitle('Churn based on total charges')\nsns.distplot(data.total_charges[data.churn == 'No'], hist=False, label='No');\nsns.distplot(data.total_charges[data.churn == 'Yes'], hist=False, label='Yes');\nax.legend();",
      "execution_count": 26,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<matplotlib.figure.Figure at 0x7fed81467e10>",
            "image/png": 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CGoM9yBkvBnvftdg5M56IKJAx2IOcsQ/H2AEGOxFRoGOwB7lGSxMkggQRct+s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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "Churn seems to decrease with total charges, however this is likely due to tenure."
    },
    {
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-08-26T22:26:48.179535Z",
          "start_time": "2018-08-26T22:26:48.176978Z"
        }
      },
      "cell_type": "markdown",
      "source": "## Correlation"
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "Convert categorical variables."
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:45.054751Z",
          "end_time": "2018-09-14T21:45:45.081489Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "data.head()",
      "execution_count": 27,
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 27,
          "data": {
            "text/plain": "  customer_id  gender senior_citizen partner dependents  tenure phone_service  \\\n0  7590-VHVEG  Female  No             Yes     No         1       No             \n1  5575-GNVDE  Male    No             No      No         34      Yes            \n2  3668-QPYBK  Male    No             No      No         2       Yes            \n3  7795-CFOCW  Male    No             No      No         45      No             \n4  9237-HQITU  Female  No             No      No         2       Yes            \n\n  multiple_lines internet_service online_security online_backup  \\\n0  No             DSL              No              Yes            \n1  No             DSL              Yes             No             \n2  No             DSL              Yes             Yes            \n3  No             DSL              Yes             No             \n4  No             Fiber optic      No              No             \n\n  device_protection tech_support streaming_tv streaming_movies  \\\n0  No                No           No           No                \n1  Yes               No           No           No                \n2  No                No           No           No                \n3  Yes               Yes          No           No                \n4  No                No           No           No                \n\n         contract paperless_billing             payment_method  \\\n0  Month-to-month  Yes               Electronic check            \n1  One year        No                Mailed check                \n2  Month-to-month  Yes               Mailed check                \n3  One year        No                Bank transfer (automatic)   \n4  Month-to-month  Yes               Electronic check            \n\n   monthly_charges  total_charges churn partner_and_dependant  \n0  29.85            29.85          No    Just partner          \n1  56.95            1889.50        No    Neither               \n2  53.85            108.15         Yes   Neither               \n3  42.30            1840.75        No    Neither               \n4  70.70            151.65         Yes   Neither               ",
            "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>customer_id</th>\n      <th>gender</th>\n      <th>senior_citizen</th>\n      <th>partner</th>\n      <th>dependents</th>\n      <th>tenure</th>\n      <th>phone_service</th>\n      <th>multiple_lines</th>\n      <th>internet_service</th>\n      <th>online_security</th>\n      <th>online_backup</th>\n      <th>device_protection</th>\n      <th>tech_support</th>\n      <th>streaming_tv</th>\n      <th>streaming_movies</th>\n      <th>contract</th>\n      <th>paperless_billing</th>\n      <th>payment_method</th>\n      <th>monthly_charges</th>\n      <th>total_charges</th>\n      <th>churn</th>\n      <th>partner_and_dependant</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>7590-VHVEG</td>\n      <td>Female</td>\n      <td>No</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>1</td>\n      <td>No</td>\n      <td>No</td>\n      <td>DSL</td>\n      <td>No</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>Month-to-month</td>\n      <td>Yes</td>\n      <td>Electronic check</td>\n      <td>29.85</td>\n      <td>29.85</td>\n      <td>No</td>\n      <td>Just partner</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>5575-GNVDE</td>\n      <td>Male</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>34</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>DSL</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>One year</td>\n      <td>No</td>\n      <td>Mailed check</td>\n      <td>56.95</td>\n      <td>1889.50</td>\n      <td>No</td>\n      <td>Neither</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>3668-QPYBK</td>\n      <td>Male</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>2</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>DSL</td>\n      <td>Yes</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>Month-to-month</td>\n      <td>Yes</td>\n      <td>Mailed check</td>\n      <td>53.85</td>\n      <td>108.15</td>\n      <td>Yes</td>\n      <td>Neither</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>7795-CFOCW</td>\n      <td>Male</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>45</td>\n      <td>No</td>\n      <td>No</td>\n      <td>DSL</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>Yes</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>No</td>\n      <td>One year</td>\n      <td>No</td>\n      <td>Bank transfer (automatic)</td>\n      <td>42.30</td>\n      <td>1840.75</td>\n      <td>No</td>\n      <td>Neither</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>9237-HQITU</td>\n      <td>Female</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>2</td>\n      <td>Yes</td>\n      <td>No</td>\n      <td>Fiber optic</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>No</td>\n      <td>Month-to-month</td>\n      <td>Yes</td>\n      <td>Electronic check</td>\n      <td>70.70</td>\n      <td>151.65</td>\n      <td>Yes</td>\n      <td>Neither</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:45.083085Z",
          "end_time": "2018-09-14T21:45:45.160261Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "corr_data = data.drop('customer_id', axis=1)\ncorr_data.replace({'Yes': 1, 'No': 0}, inplace=True)\ncorr_data = pd.get_dummies(corr_data, drop_first=True)\n\ncorr_data.head()",
      "execution_count": 28,
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 28,
          "data": {
            "text/plain": "   senior_citizen  partner  dependents  tenure  phone_service  multiple_lines  \\\n0  0               1        0           1       0              0                \n1  0               0        0           34      1              0                \n2  0               0        0           2       1              0                \n3  0               0        0           45      0              0                \n4  0               0        0           2       1              0                \n\n   online_security  online_backup  device_protection  tech_support  \\\n0  0                1              0                  0              \n1  1                0              1                  0              \n2  1                1              0                  0              \n3  1                0              1                  1              \n4  0                0              0                  0              \n\n   streaming_tv  streaming_movies  paperless_billing  monthly_charges  \\\n0  0             0                 1                  29.85             \n1  0             0                 0                  56.95             \n2  0             0                 1                  53.85             \n3  0             0                 0                  42.30             \n4  0             0                 1                  70.70             \n\n   total_charges  churn  gender_Male  internet_service_DSL  \\\n0  29.85          0      0            1                      \n1  1889.50        0      1            1                      \n2  108.15         1      1            1                      \n3  1840.75        0      1            1                      \n4  151.65         1      0            0                      \n\n   internet_service_Fiber optic  contract_One year  contract_Two year  \\\n0  0                             0                  0                   \n1  0                             1                  0                   \n2  0                             0                  0                   \n3  0                             1                  0                   \n4  1                             0                  0                   \n\n   payment_method_Credit card (automatic)  payment_method_Electronic check  \\\n0  0                                       1                                 \n1  0                                       0                                 \n2  0                                       0                                 \n3  0                                       0                                 \n4  0                                       1                                 \n\n   payment_method_Mailed check  partner_and_dependant_Just dependents  \\\n0  0                            0                                       \n1  1                            0                                       \n2  1                            0                                       \n3  0                            0                                       \n4  0                            0                                       \n\n   partner_and_dependant_Just partner  partner_and_dependant_Neither  \n0  1                                   0                              \n1  0                                   1                              \n2  0                                   1                              \n3  0                                   1                              \n4  0                                   1                              ",
            "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>senior_citizen</th>\n      <th>partner</th>\n      <th>dependents</th>\n      <th>tenure</th>\n      <th>phone_service</th>\n      <th>multiple_lines</th>\n      <th>online_security</th>\n      <th>online_backup</th>\n      <th>device_protection</th>\n      <th>tech_support</th>\n      <th>streaming_tv</th>\n      <th>streaming_movies</th>\n      <th>paperless_billing</th>\n      <th>monthly_charges</th>\n      <th>total_charges</th>\n      <th>churn</th>\n      <th>gender_Male</th>\n      <th>internet_service_DSL</th>\n      <th>internet_service_Fiber optic</th>\n      <th>contract_One year</th>\n      <th>contract_Two year</th>\n      <th>payment_method_Credit card (automatic)</th>\n      <th>payment_method_Electronic check</th>\n      <th>payment_method_Mailed check</th>\n      <th>partner_and_dependant_Just dependents</th>\n      <th>partner_and_dependant_Just partner</th>\n      <th>partner_and_dependant_Neither</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>29.85</td>\n      <td>29.85</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>34</td>\n      <td>1</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>56.95</td>\n      <td>1889.50</td>\n      <td>0</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>2</td>\n      <td>1</td>\n      <td>0</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>53.85</td>\n      <td>108.15</td>\n      <td>1</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>45</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>42.30</td>\n      <td>1840.75</td>\n      <td>0</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>2</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>70.70</td>\n      <td>151.65</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {
        "ExecuteTime": {
          "start_time": "2018-09-14T21:45:45.161926Z",
          "end_time": "2018-09-14T21:45:47.922579Z"
        },
        "trusted": true
      },
      "cell_type": "code",
      "source": "corr = corr_data.corr()\n\nplt.figure(figsize=(22, 18))\nsns.heatmap(corr, cmap=plt.cm.RdBu, annot=True, vmin=-1, vmax=1);",
      "execution_count": 29,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<matplotlib.figure.Figure at 0x7fed81498e48>",