{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "### Exploring Customer Segmentation\n", "\n", "\n", "
\n", " \n", "
\n", "\n", "\n", "In this activity, you are tasked with profiling customer groups for a large telecommunications company. The data provided contains information on customers purchasing and useage behavior with the telecom products. Your goal is to use PCA and clustering to segment these customers into meaningful groups, and report back your findings. \n", "\n", "Because these results need to be interpretable, it is important to keep the number of clusters reasonable. Think about how you might represent some of the non-numeric features so that they can be included in your segmentation models. You are to report back your approach and findings to the class. Be specific about what features were used and how you interpret the resulting clusters." ] }, { "cell_type": "code", "execution_count": 147, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import seaborn as sns\n", "from sklearn.cluster import KMeans, DBSCAN" ] }, { "cell_type": "code", "execution_count": 148, "metadata": {}, "outputs": [], "source": [ "df = pd.read_csv('telco_churn_data.csv')" ] }, { "cell_type": "code", "execution_count": 149, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Customer IDReferred a FriendNumber of ReferralsTenure in MonthsOfferPhone ServiceAvg Monthly Long Distance ChargesMultiple LinesInternet ServiceInternet Type...LatitudeLongitudePopulationChurn ValueCLTVChurn CategoryChurn ReasonTotal Customer Svc RequestsProduct/Service Issues ReportedCustomer Satisfaction
08779-QRDMVNo01NoneNo0.00NoYesFiber Optic...34.023810-118.1565826870115433CompetitorCompetitor offered more data50NaN
17495-OOKFYYes18Offer EYes48.85YesYesCable...34.044271-118.1852375566815302CompetitorCompetitor made better offer50NaN
21658-BYGOYNo018Offer DYes11.33YesYesFiber Optic...34.108833-118.2297154753413179CompetitorCompetitor made better offer10NaN
34598-XLKNJYes125Offer CYes19.76NoYesFiber Optic...33.936291-118.3326392777815337DissatisfactionLimited range of services112.0
44846-WHAFZYes137Offer CYes6.33YesYesCable...33.972119-118.0201882626512793PriceExtra data charges102.0
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5 rows × 46 columns

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" ], "text/plain": [ " Customer ID Referred a Friend Number of Referrals Tenure in Months \\\n", "0 8779-QRDMV No 0 1 \n", "1 7495-OOKFY Yes 1 8 \n", "2 1658-BYGOY No 0 18 \n", "3 4598-XLKNJ Yes 1 25 \n", "4 4846-WHAFZ Yes 1 37 \n", "\n", " Offer Phone Service Avg Monthly Long Distance Charges Multiple Lines \\\n", "0 None No 0.00 No \n", "1 Offer E Yes 48.85 Yes \n", "2 Offer D Yes 11.33 Yes \n", "3 Offer C Yes 19.76 No \n", "4 Offer C Yes 6.33 Yes \n", "\n", " Internet Service Internet Type ... Latitude Longitude Population \\\n", "0 Yes Fiber Optic ... 34.023810 -118.156582 68701 \n", "1 Yes Cable ... 34.044271 -118.185237 55668 \n", "2 Yes Fiber Optic ... 34.108833 -118.229715 47534 \n", "3 Yes Fiber Optic ... 33.936291 -118.332639 27778 \n", "4 Yes Cable ... 33.972119 -118.020188 26265 \n", "\n", " Churn Value CLTV Churn Category Churn Reason \\\n", "0 1 5433 Competitor Competitor offered more data \n", "1 1 5302 Competitor Competitor made better offer \n", "2 1 3179 Competitor Competitor made better offer \n", "3 1 5337 Dissatisfaction Limited range of services \n", "4 1 2793 Price Extra data charges \n", "\n", " Total Customer Svc Requests Product/Service Issues Reported \\\n", "0 5 0 \n", "1 5 0 \n", "2 1 0 \n", "3 1 1 \n", "4 1 0 \n", "\n", " Customer Satisfaction \n", "0 NaN \n", "1 NaN \n", "2 NaN \n", "3 2.0 \n", "4 2.0 \n", "\n", "[5 rows x 46 columns]" ] }, "execution_count": 149, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.head()" ] }, { "cell_type": "code", "execution_count": 150, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(7043, 46)" ] }, "execution_count": 150, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.shape" ] }, { "cell_type": "code", "execution_count": 151, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "RangeIndex: 7043 entries, 0 to 7042\n", "Data columns (total 46 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 Customer ID 7043 non-null object \n", " 1 Referred a Friend 7043 non-null object \n", " 2 Number of Referrals 7043 non-null int64 \n", " 3 Tenure in Months 7043 non-null int64 \n", " 4 Offer 7043 non-null object \n", " 5 Phone Service 7043 non-null object \n", " 6 Avg Monthly Long Distance Charges 7043 non-null float64\n", " 7 Multiple Lines 7043 non-null object \n", " 8 Internet Service 7043 non-null object \n", " 9 Internet Type 7043 non-null object \n", " 10 Avg Monthly GB Download 7043 non-null int64 \n", " 11 Online Security 7043 non-null object \n", " 12 Online Backup 7043 non-null object \n", " 13 Device Protection Plan 7043 non-null object \n", " 14 Premium Tech Support 7043 non-null object \n", " 15 Streaming TV 7043 non-null object \n", " 16 Streaming Movies 7043 non-null object \n", " 17 Streaming Music 7043 non-null object \n", " 18 Unlimited Data 7043 non-null object \n", " 19 Contract 7043 non-null object \n", " 20 Paperless Billing 7043 non-null object \n", " 21 Payment Method 7043 non-null object \n", " 22 Monthly Charge 7043 non-null float64\n", " 23 Total Regular Charges 7043 non-null float64\n", " 24 Total Refunds 7043 non-null float64\n", " 25 Total Extra Data Charges 7043 non-null float64\n", " 26 Total Long Distance Charges 7043 non-null float64\n", " 27 Gender 7043 non-null object \n", " 28 Age 7043 non-null int64 \n", " 29 Under 30 7043 non-null object \n", " 30 Senior Citizen 7043 non-null object \n", " 31 Married 7043 non-null object \n", " 32 Dependents 7043 non-null object \n", " 33 Number of Dependents 7043 non-null int64 \n", " 34 City 7043 non-null object \n", " 35 Zip Code 7043 non-null int64 \n", " 36 Latitude 7043 non-null float64\n", " 37 Longitude 7043 non-null float64\n", " 38 Population 7043 non-null int64 \n", " 39 Churn Value 7043 non-null int64 \n", " 40 CLTV 7043 non-null int64 \n", " 41 Churn Category 1869 non-null object \n", " 42 Churn Reason 1869 non-null object \n", " 43 Total Customer Svc Requests 7043 non-null int64 \n", " 44 Product/Service Issues Reported 7043 non-null int64 \n", " 45 Customer Satisfaction 1834 non-null float64\n", "dtypes: float64(9), int64(11), object(26)\n", "memory usage: 2.5+ MB\n" ] } ], "source": [ "df.info()" ] }, { "cell_type": "code", "execution_count": 152, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Number of ReferralsTenure in MonthsAvg Monthly Long Distance ChargesAvg Monthly GB DownloadMonthly ChargeTotal Regular ChargesTotal RefundsTotal Extra Data ChargesTotal Long Distance ChargesAgeNumber of DependentsZip CodeLatitudeLongitudePopulationChurn ValueCLTVTotal Customer Svc RequestsProduct/Service Issues ReportedCustomer Satisfaction
count7043.0000007043.0000007043.0000007043.0000007043.0000007043.0000007043.0000007043.0000007043.0000007043.0000007043.0000007043.0000007043.0000007043.0000007043.0000007043.0000007043.0000007043.0000007043.0000001834.000000
mean1.95186732.38676722.95895421.11089065.5388002280.3812641.962182278.499225749.09926246.5097260.46869293486.07056736.197455-119.75668422139.6032940.2653704400.2957551.3387760.3081073.005453
std3.00119924.54206115.44811320.94847130.6068052266.2204627.902614685.039625846.66005516.7503520.9628021856.7675052.4689292.15442521152.3928370.4415611183.0571521.4304710.7175141.256938
min0.0000001.0000000.0000000.00000018.25000018.8000000.0000000.0000000.00000019.0000000.00000090001.00000032.555828-124.30137211.0000000.0000002003.0000000.0000000.0000001.000000
25%0.0000009.0000009.2100003.00000035.890000400.1500000.0000000.00000070.54500032.0000000.00000092101.00000033.990646-121.7880902344.0000000.0000003469.0000000.0000000.0000002.000000
50%0.00000029.00000022.89000017.00000071.9680001394.5500000.0000000.000000401.44000046.0000000.00000093518.00000036.205465-119.59529317554.0000000.0000004527.0000001.0000000.0000003.000000
75%3.00000055.00000036.39500028.00000090.6500003786.6000000.000000182.6200001191.10000060.0000000.00000095329.00000038.161321-117.96979536125.0000001.0000005380.5000002.0000000.0000004.000000
max11.00000072.00000049.99000094.000000123.0840008684.80000049.7900006477.0000003564.72000080.0000009.00000096150.00000041.962127-114.192901105285.0000001.0000006500.0000009.0000006.0000005.000000
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" ], "text/plain": [ " Number of Referrals Tenure in Months \\\n", "count 7043.000000 7043.000000 \n", "mean 1.951867 32.386767 \n", "std 3.001199 24.542061 \n", "min 0.000000 1.000000 \n", "25% 0.000000 9.000000 \n", "50% 0.000000 29.000000 \n", "75% 3.000000 55.000000 \n", "max 11.000000 72.000000 \n", "\n", " Avg Monthly Long Distance Charges Avg Monthly GB Download \\\n", "count 7043.000000 7043.000000 \n", "mean 22.958954 21.110890 \n", "std 15.448113 20.948471 \n", "min 0.000000 0.000000 \n", "25% 9.210000 3.000000 \n", "50% 22.890000 17.000000 \n", "75% 36.395000 28.000000 \n", "max 49.990000 94.000000 \n", "\n", " Monthly Charge Total Regular Charges Total Refunds \\\n", "count 7043.000000 7043.000000 7043.000000 \n", "mean 65.538800 2280.381264 1.962182 \n", "std 30.606805 2266.220462 7.902614 \n", "min 18.250000 18.800000 0.000000 \n", "25% 35.890000 400.150000 0.000000 \n", "50% 71.968000 1394.550000 0.000000 \n", "75% 90.650000 3786.600000 0.000000 \n", "max 123.084000 8684.800000 49.790000 \n", "\n", " Total Extra Data Charges Total Long Distance Charges Age \\\n", "count 7043.000000 7043.000000 7043.000000 \n", "mean 278.499225 749.099262 46.509726 \n", "std 685.039625 846.660055 16.750352 \n", "min 0.000000 0.000000 19.000000 \n", "25% 0.000000 70.545000 32.000000 \n", "50% 0.000000 401.440000 46.000000 \n", "75% 182.620000 1191.100000 60.000000 \n", "max 6477.000000 3564.720000 80.000000 \n", "\n", " Number of Dependents Zip Code Latitude Longitude \\\n", "count 7043.000000 7043.000000 7043.000000 7043.000000 \n", "mean 0.468692 93486.070567 36.197455 -119.756684 \n", "std 0.962802 1856.767505 2.468929 2.154425 \n", "min 0.000000 90001.000000 32.555828 -124.301372 \n", "25% 0.000000 92101.000000 33.990646 -121.788090 \n", "50% 0.000000 93518.000000 36.205465 -119.595293 \n", "75% 0.000000 95329.000000 38.161321 -117.969795 \n", "max 9.000000 96150.000000 41.962127 -114.192901 \n", "\n", " Population Churn Value CLTV Total Customer Svc Requests \\\n", "count 7043.000000 7043.000000 7043.000000 7043.000000 \n", "mean 22139.603294 0.265370 4400.295755 1.338776 \n", "std 21152.392837 0.441561 1183.057152 1.430471 \n", "min 11.000000 0.000000 2003.000000 0.000000 \n", "25% 2344.000000 0.000000 3469.000000 0.000000 \n", "50% 17554.000000 0.000000 4527.000000 1.000000 \n", "75% 36125.000000 1.000000 5380.500000 2.000000 \n", "max 105285.000000 1.000000 6500.000000 9.000000 \n", "\n", " Product/Service Issues Reported Customer Satisfaction \n", "count 7043.000000 1834.000000 \n", "mean 0.308107 3.005453 \n", "std 0.717514 1.256938 \n", "min 0.000000 1.000000 \n", "25% 0.000000 2.000000 \n", "50% 0.000000 3.000000 \n", "75% 0.000000 4.000000 \n", "max 6.000000 5.000000 " ] }, "execution_count": 152, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.describe()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need a number which preserves the variance of the dataset to the highest degree:" ] }, { "cell_type": "code", "execution_count": 153, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Customer ID:['8779-QRDMV' '7495-OOKFY' '1658-BYGOY' ... '2234-XADUH' '4801-JZAZL'\n", " '3186-AJIEK']\n", "Referred a Friend:['No' 'Yes']\n", "Offer:['None' 'Offer E' 'Offer D' 'Offer C' 'Offer B' 'Offer A']\n", "Phone Service:['No' 'Yes']\n", "Multiple Lines:['No' 'Yes']\n", "Internet Service:['Yes' 'No']\n", "Internet Type:['Fiber Optic' 'Cable' 'DSL' 'None']\n", "Online Security:['No' 'Yes']\n", "Online Backup:['No' 'Yes']\n", "Device Protection Plan:['Yes' 'No']\n", "Premium Tech Support:['No' 'Yes']\n", "Streaming TV:['No' 'Yes']\n", "Streaming Movies:['Yes' 'No']\n", "Streaming Music:['No' 'Yes']\n", "Unlimited Data:['No' 'Yes']\n", "Contract:['Month-to-Month' 'One Year' 'Two Year']\n", "Paperless Billing:['Yes' 'No']\n", "Payment Method:['Bank Withdrawal' 'Credit Card' 'Mailed Check']\n", "Gender:['Male' 'Female']\n", "Under 30:['No' 'Yes']\n", "Senior Citizen:['Yes' 'No']\n", "Married:['No' 'Yes']\n", "Dependents:['No' 'Yes']\n", "City:['Los Angeles' 'Inglewood' 'Whittier' ... 'Topaz' 'Jacumba' 'Holtville']\n", "Churn Category:['Competitor' 'Dissatisfaction' 'Price' 'Other' 'Attitude' nan]\n", "Churn Reason:['Competitor offered more data' 'Competitor made better offer'\n", " 'Limited range of services' 'Extra data charges'\n", " 'Competitor had better devices' \"Don't know\" 'Service dissatisfaction'\n", " 'Lack of affordable download/upload speed' 'Product dissatisfaction'\n", " 'Long distance charges' 'Poor expertise of online support'\n", " 'Attitude of support person' 'Network reliability'\n", " 'Competitor offered higher download speeds' 'Moved' 'Price too high'\n", " 'Attitude of service provider' 'Poor expertise of phone support'\n", " 'Deceased' nan 'Lack of self-service on Website']\n" ] } ], "source": [ "object_columns = df.select_dtypes(include=['object']).columns\n", "for i in object_columns:\n", " print(f'{i}:{df[i].unique()}')" ] }, { "cell_type": "code", "execution_count": 154, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Customer IDReferred a FriendNumber of ReferralsTenure in MonthsOfferPhone ServiceAvg Monthly Long Distance ChargesMultiple LinesInternet ServiceInternet Type...LatitudeLongitudePopulationChurn ValueCLTVChurn CategoryChurn ReasonTotal Customer Svc RequestsProduct/Service Issues ReportedCustomer Satisfaction
00001000.00000...34.023810-118.15658268701154330.0050NaN
111181148.85101...34.044271-118.18523755668153020.0150NaN
2200182111.33100...34.108833-118.22971547534131790.0110NaN
3311253119.76000...33.936291-118.33263927778153371.02112.0
441137316.33101...33.972119-118.02018826265127932.03102.0
..................................................................
7038703800720122.77013...34.341737-116.5394162182053065.01900NaN
7039703911243136.05102...34.667815-117.53618318980021405.01920NaN
7040704014720129.66101...34.559882-115.63716442055605.019204.0
704170411111000.00002...34.167800-116.864330301027935.01900NaN
7042704200660130.96000...34.424926-117.18450328819050975.01912NaN
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7043 rows × 46 columns

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" ], "text/plain": [ " Customer ID Referred a Friend Number of Referrals Tenure in Months \\\n", "0 0 0 0 1 \n", "1 1 1 1 8 \n", "2 2 0 0 18 \n", "3 3 1 1 25 \n", "4 4 1 1 37 \n", "... ... ... ... ... \n", "7038 7038 0 0 72 \n", "7039 7039 1 1 24 \n", "7040 7040 1 4 72 \n", "7041 7041 1 1 11 \n", "7042 7042 0 0 66 \n", "\n", " Offer Phone Service Avg Monthly Long Distance Charges Multiple Lines \\\n", "0 0 0 0.00 0 \n", "1 1 1 48.85 1 \n", "2 2 1 11.33 1 \n", "3 3 1 19.76 0 \n", "4 3 1 6.33 1 \n", "... ... ... ... ... \n", "7038 0 1 22.77 0 \n", "7039 3 1 36.05 1 \n", "7040 0 1 29.66 1 \n", "7041 0 0 0.00 0 \n", "7042 0 1 30.96 0 \n", "\n", " Internet Service Internet Type ... Latitude Longitude Population \\\n", "0 0 0 ... 34.023810 -118.156582 68701 \n", "1 0 1 ... 34.044271 -118.185237 55668 \n", "2 0 0 ... 34.108833 -118.229715 47534 \n", "3 0 0 ... 33.936291 -118.332639 27778 \n", "4 0 1 ... 33.972119 -118.020188 26265 \n", "... ... ... ... ... ... ... \n", "7038 1 3 ... 34.341737 -116.539416 2182 \n", "7039 0 2 ... 34.667815 -117.536183 18980 \n", "7040 0 1 ... 34.559882 -115.637164 42 \n", "7041 0 2 ... 34.167800 -116.864330 301 \n", "7042 0 0 ... 34.424926 -117.184503 28819 \n", "\n", " Churn Value CLTV Churn Category Churn Reason \\\n", "0 1 5433 0.0 0 \n", "1 1 5302 0.0 1 \n", "2 1 3179 0.0 1 \n", "3 1 5337 1.0 2 \n", "4 1 2793 2.0 3 \n", "... ... ... ... ... \n", "7038 0 5306 5.0 19 \n", "7039 0 2140 5.0 19 \n", "7040 0 5560 5.0 19 \n", "7041 0 2793 5.0 19 \n", "7042 0 5097 5.0 19 \n", "\n", " Total Customer Svc Requests Product/Service Issues Reported \\\n", "0 5 0 \n", "1 5 0 \n", "2 1 0 \n", "3 1 1 \n", "4 1 0 \n", "... ... ... \n", "7038 0 0 \n", "7039 2 0 \n", "7040 2 0 \n", "7041 0 0 \n", "7042 1 2 \n", "\n", " Customer Satisfaction \n", "0 NaN \n", "1 NaN \n", "2 NaN \n", "3 2.0 \n", "4 2.0 \n", "... ... \n", "7038 NaN \n", "7039 NaN \n", "7040 4.0 \n", "7041 NaN \n", "7042 NaN \n", "\n", "[7043 rows x 46 columns]" ] }, "execution_count": 154, "metadata": {}, "output_type": "execute_result" } ], "source": [ "for i in object_columns:\n", " df[i].replace(df[i].unique(),list(range(len(df[i].unique()))),inplace=True)\n", "df" ] }, { "cell_type": "code", "execution_count": 155, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "RangeIndex: 7043 entries, 0 to 7042\n", "Data columns (total 46 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 Customer ID 7043 non-null int64 \n", " 1 Referred a Friend 7043 non-null int64 \n", " 2 Number of Referrals 7043 non-null int64 \n", " 3 Tenure in Months 7043 non-null int64 \n", " 4 Offer 7043 non-null int64 \n", " 5 Phone Service 7043 non-null int64 \n", " 6 Avg Monthly Long Distance Charges 7043 non-null float64\n", " 7 Multiple Lines 7043 non-null int64 \n", " 8 Internet Service 7043 non-null int64 \n", " 9 Internet Type 7043 non-null int64 \n", " 10 Avg Monthly GB Download 7043 non-null int64 \n", " 11 Online Security 7043 non-null int64 \n", " 12 Online Backup 7043 non-null int64 \n", " 13 Device Protection Plan 7043 non-null int64 \n", " 14 Premium Tech Support 7043 non-null int64 \n", " 15 Streaming TV 7043 non-null int64 \n", " 16 Streaming Movies 7043 non-null int64 \n", " 17 Streaming Music 7043 non-null int64 \n", " 18 Unlimited Data 7043 non-null int64 \n", " 19 Contract 7043 non-null int64 \n", " 20 Paperless Billing 7043 non-null int64 \n", " 21 Payment Method 7043 non-null int64 \n", " 22 Monthly Charge 7043 non-null float64\n", " 23 Total Regular Charges 7043 non-null float64\n", " 24 Total Refunds 7043 non-null float64\n", " 25 Total Extra Data Charges 7043 non-null float64\n", " 26 Total Long Distance Charges 7043 non-null float64\n", " 27 Gender 7043 non-null int64 \n", " 28 Age 7043 non-null int64 \n", " 29 Under 30 7043 non-null int64 \n", " 30 Senior Citizen 7043 non-null int64 \n", " 31 Married 7043 non-null int64 \n", " 32 Dependents 7043 non-null int64 \n", " 33 Number of Dependents 7043 non-null int64 \n", " 34 City 7043 non-null int64 \n", " 35 Zip Code 7043 non-null int64 \n", " 36 Latitude 7043 non-null float64\n", " 37 Longitude 7043 non-null float64\n", " 38 Population 7043 non-null int64 \n", " 39 Churn Value 7043 non-null int64 \n", " 40 CLTV 7043 non-null int64 \n", " 41 Churn Category 7043 non-null float64\n", " 42 Churn Reason 7043 non-null int64 \n", " 43 Total Customer Svc Requests 7043 non-null int64 \n", " 44 Product/Service Issues Reported 7043 non-null int64 \n", " 45 Customer Satisfaction 1834 non-null float64\n", "dtypes: float64(10), int64(36)\n", "memory usage: 2.5 MB\n" ] } ], "source": [ "df.info()" ] }, { "cell_type": "code", "execution_count": 156, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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Customer IDReferred a FriendNumber of ReferralsTenure in MonthsOfferPhone ServiceAvg Monthly Long Distance ChargesMultiple LinesInternet ServiceInternet Type...LatitudeLongitudePopulationChurn ValueCLTVChurn CategoryChurn ReasonTotal Customer Svc RequestsProduct/Service Issues ReportedCustomer Satisfaction
count7043.0000007043.0000007043.0000007043.0000007043.0000007043.0000007043.0000007043.0000007043.0000007043.000000...7043.0000007043.0000007043.0000007043.0000007043.0000007043.0000007043.0000007043.0000007043.0000001834.000000
mean3521.0000000.4574761.95186732.3867671.2991620.90316622.9589540.4218370.2166691.346585...36.197455-119.75668422139.6032940.2653704400.2957554.03961415.8446681.3387760.3081073.005453
std2033.2833050.4982243.00119924.5420611.7369080.29575215.4481130.4938880.4120041.144798...2.4689292.15442521152.3928370.4415611183.0571521.7831125.9247391.4304710.7175141.256938
min0.0000000.0000000.0000001.0000000.0000000.0000000.0000000.0000000.0000000.000000...32.555828-124.30137211.0000000.0000002003.0000000.0000000.0000000.0000000.0000001.000000
25%1760.5000000.0000000.0000009.0000000.0000001.0000009.2100000.0000000.0000000.000000...33.990646-121.7880902344.0000000.0000003469.0000004.00000016.0000000.0000000.0000002.000000
50%3521.0000000.0000000.00000029.0000000.0000001.00000022.8900000.0000000.0000001.000000...36.205465-119.59529317554.0000000.0000004527.0000005.00000019.0000001.0000000.0000003.000000
75%5281.5000001.0000003.00000055.0000002.0000001.00000036.3950001.0000000.0000002.000000...38.161321-117.96979536125.0000001.0000005380.5000005.00000019.0000002.0000000.0000004.000000
max7042.0000001.00000011.00000072.0000005.0000001.00000049.9900001.0000001.0000003.000000...41.962127-114.192901105285.0000001.0000006500.0000005.00000020.0000009.0000006.0000005.000000
\n", "

8 rows × 46 columns

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" ], "text/plain": [ " Customer ID Referred a Friend Number of Referrals Tenure in Months \\\n", "count 7043.000000 7043.000000 7043.000000 7043.000000 \n", "mean 3521.000000 0.457476 1.951867 32.386767 \n", "std 2033.283305 0.498224 3.001199 24.542061 \n", "min 0.000000 0.000000 0.000000 1.000000 \n", "25% 1760.500000 0.000000 0.000000 9.000000 \n", "50% 3521.000000 0.000000 0.000000 29.000000 \n", "75% 5281.500000 1.000000 3.000000 55.000000 \n", "max 7042.000000 1.000000 11.000000 72.000000 \n", "\n", " Offer Phone Service Avg Monthly Long Distance Charges \\\n", "count 7043.000000 7043.000000 7043.000000 \n", "mean 1.299162 0.903166 22.958954 \n", "std 1.736908 0.295752 15.448113 \n", "min 0.000000 0.000000 0.000000 \n", "25% 0.000000 1.000000 9.210000 \n", "50% 0.000000 1.000000 22.890000 \n", "75% 2.000000 1.000000 36.395000 \n", "max 5.000000 1.000000 49.990000 \n", "\n", " Multiple Lines Internet Service Internet Type ... Latitude \\\n", "count 7043.000000 7043.000000 7043.000000 ... 7043.000000 \n", "mean 0.421837 0.216669 1.346585 ... 36.197455 \n", "std 0.493888 0.412004 1.144798 ... 2.468929 \n", "min 0.000000 0.000000 0.000000 ... 32.555828 \n", "25% 0.000000 0.000000 0.000000 ... 33.990646 \n", "50% 0.000000 0.000000 1.000000 ... 36.205465 \n", "75% 1.000000 0.000000 2.000000 ... 38.161321 \n", "max 1.000000 1.000000 3.000000 ... 41.962127 \n", "\n", " Longitude Population Churn Value CLTV Churn Category \\\n", "count 7043.000000 7043.000000 7043.000000 7043.000000 7043.000000 \n", "mean -119.756684 22139.603294 0.265370 4400.295755 4.039614 \n", "std 2.154425 21152.392837 0.441561 1183.057152 1.783112 \n", "min -124.301372 11.000000 0.000000 2003.000000 0.000000 \n", "25% -121.788090 2344.000000 0.000000 3469.000000 4.000000 \n", "50% -119.595293 17554.000000 0.000000 4527.000000 5.000000 \n", "75% -117.969795 36125.000000 1.000000 5380.500000 5.000000 \n", "max -114.192901 105285.000000 1.000000 6500.000000 5.000000 \n", "\n", " Churn Reason Total Customer Svc Requests \\\n", "count 7043.000000 7043.000000 \n", "mean 15.844668 1.338776 \n", "std 5.924739 1.430471 \n", "min 0.000000 0.000000 \n", "25% 16.000000 0.000000 \n", "50% 19.000000 1.000000 \n", "75% 19.000000 2.000000 \n", "max 20.000000 9.000000 \n", "\n", " Product/Service Issues Reported Customer Satisfaction \n", "count 7043.000000 1834.000000 \n", "mean 0.308107 3.005453 \n", "std 0.717514 1.256938 \n", "min 0.000000 1.000000 \n", "25% 0.000000 2.000000 \n", "50% 0.000000 3.000000 \n", "75% 0.000000 4.000000 \n", "max 6.000000 5.000000 \n", "\n", "[8 rows x 46 columns]" ] }, "execution_count": 156, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.describe()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, we'll only analyze the non categorical columns:" ] }, { "cell_type": "code", "execution_count": 157, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "RangeIndex: 7043 entries, 0 to 7042\n", "Data columns (total 20 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 Number of Referrals 7043 non-null int64 \n", " 1 Tenure in Months 7043 non-null int64 \n", " 2 Avg Monthly Long Distance Charges 7043 non-null float64\n", " 3 Avg Monthly GB Download 7043 non-null int64 \n", " 4 Monthly Charge 7043 non-null float64\n", " 5 Total Regular Charges 7043 non-null float64\n", " 6 Total Refunds 7043 non-null float64\n", " 7 Total Extra Data Charges 7043 non-null float64\n", " 8 Total Long Distance Charges 7043 non-null float64\n", " 9 Age 7043 non-null int64 \n", " 10 Number of Dependents 7043 non-null int64 \n", " 11 Zip Code 7043 non-null int64 \n", " 12 Latitude 7043 non-null float64\n", " 13 Longitude 7043 non-null float64\n", " 14 Population 7043 non-null int64 \n", " 15 Churn Value 7043 non-null int64 \n", " 16 CLTV 7043 non-null int64 \n", " 17 Total Customer Svc Requests 7043 non-null int64 \n", " 18 Product/Service Issues Reported 7043 non-null int64 \n", " 19 Customer Satisfaction 1834 non-null float64\n", "dtypes: float64(9), int64(11)\n", "memory usage: 1.1 MB\n" ] } ], "source": [ "df1=df.drop(columns=list(object_columns))\n", "\n", "df1.info()" ] }, { "cell_type": "code", "execution_count": 158, "metadata": {}, "outputs": [], "source": [ "for i in df1.columns:\n", " df1[i].fillna(value=df1[i].mean(), inplace=True)" ] }, { "cell_type": "code", "execution_count": 159, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(7043, 20)" ] }, "execution_count": 159, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.preprocessing import StandardScaler\n", "scaled = StandardScaler().fit_transform(df1)\n", "scaled.shape" ] }, { "cell_type": "code", "execution_count": 160, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(7043, 10)" ] }, "execution_count": 160, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.decomposition import PCA\n", "pca=PCA(n_components=10)\n", "reduced_data=pca.fit_transform(scaled)\n", "reduced_data.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need to find the number of dimensions that maximizes tthe variance in the data, so:" ] }, { "cell_type": "code", "execution_count": 161, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "features = range(pca.n_components_)\n", "plt.bar(features, pca.explained_variance_ratio_, color='black')\n", "plt.xlabel('PCA features')\n", "plt.ylabel('variance %')\n", "PCA_df=pd.DataFrame(reduced_data)" ] }, { "cell_type": "code", "execution_count": 162, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 162, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(PCA_df[0],PCA_df[1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "we can see that there are discernible clusters " ] }, { "cell_type": "code", "execution_count": 163, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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OvbeiqQqmtjliE6tlI7KG1ss3bxgGPT099PT0IKUkm80SiUQoFApcuHCBcrmMqqoLMo7mt8fe6F5AG8VNrwBKpRJPPvkkn/jEJwDagdLVspF1ANdDAWw013KNI/l6M7USbumN85a9nViuz98eniAd0VAVQbnh8puPn+V//OCda3zmy0MIcZkFslnYjKvTjXJjKYpCMpkkmUwyNDQEBFZCq6XFhQsXFrTHbrl4V8pmf3435525hpw9e5bu7m4+/OEP8/LLL3PffffxO7/zO8Tj8VXtb6N7AW32G+h6cXSizP/7hVNIJL6EkUKDt93azYV8AwGozVTLhKkyWWrgS3ldcvBdX/Kl16YZnqszkI7w6IEuomsQAL8erHfQ+HoPdzEMg+7ubrq7u9vva7XHnp6eplqtMjs7u8BKiEavHtPZbEp2Pje2TboMXNflpZde4md+5mc4dOgQ8Xic//gf/+Oq97fRFsBWYDUP/qdfnkJRIBs36EoY2K7Pl16bZlsmMNtdL9hn2fIY6oheUfiP5Ot8+1yeo+Nl/DVUuFJKPnOyzt+/PMnJ6SpfODrNH37zPJ5/4yr19b4nN+KeX67SaLXHHhwcZHBwkJ07d3LffffR1dVFpVLh6NGjfOtb3+LQoUOcO3eOfD5/wxWJ3vQWQOvLe/DBBwH4wAc+cE0KQFGUDZsIdj1cQFLKDXUNrPY47iVtdhUhcD3JLT1xfvjBQf7s2VEUIUhHNX7l0T1L7uf58wX+6OkRQCIlvH5XBx9+/eCaXH+x4XEy57CnPxWk9EY0Tk3XmCg1GMysbTbQZrQUV2MxrOYYG+E2ah1nfnvs1uvVapVisbigPXbLQmgNcdmsi7mbXgH09fUxNDTEiRMnuPXWW/nqV7/Kbbfdtur9bXQb2TAIvDjvPNDNkfEy5YZL6yN6663BQ/m+u/t46y2dlC2XnoSJcUnwtT1hSUr+97OjZCIakWZG0TPn8rx5b5a93atzEV5P1ju3fX7GTbHu8GfPjHBursre7jg//OB2EpHLxclGpIFuVDfQpY7dGqKzWHvsRqPBU089RSwWWzBE50rFlhv5zN/0CgDgd3/3d/nQhz6Ebdvs3r2bj3/849f7lJbF9VIAG20BrOYaX7+rg//nbbv54tFpVEXw3rv7ODAvxTId1UlHLx+ZN/+6HC8YHt8RvTh3VVUENfvqZryUkqrtYajKZQqmfQ4RlVuyOqMli5ihUrM99vXE6Utdffj6WjM8V+O1yQoRXeHewTTd6eWNE7Rdn8MjRabKDUS9zp39cRzP599/7jjnczXihsq52RoXcnX+w3ff1o69bBSb0WqY3x57amqKhx56iHq93p6XcOLECeDiEJ10Or2gPfZGPn9bQgEcPHiQF1544XqfxqrYjKb9ZuH1uzp4/a4rt1W4UvDX1BT29cQ5M1OjO25QtT00RTCYubKALjdcfucb5zgxVUUR8H33DvAdd1zezVQIwXtuiTKh9HB2rsa2ZhB4o3sBnZiq8NcvjmNoKq7v8/JIiX/2lt1XDQD6vuSzr0xwcrpK3FCZmC0zW/N4czTLSL5OVzyoVo/qKqemq0yXLfrT15Y6uVEVuht1nNaxYrEYsViMgYEBgHZ77FZdQrVaJRqNti2EjWJLKIAblevhjrlZUk8t1+fzR6Z4ZayMqSk8dnsPdw9e/mD91MPb+dNnRzk2UaEzrvNjD+0gG79ymvAnnhnhxGSF7qSB60v+6oVxdmSj3DGQvOy9miJ4523da3JNI/k6Z2ZqRHSFOweSy04v/ebpHKmITrLpohkr1DkxWWZ/p3bFe6xQdzgzU2UwE0EIgV/XOD1n8aDrMf8WkYBEXvPqfyNbO6+UtV6VX609dqVS4emnnyaVSrVdR/PbY4eVwFuAm0UYXwkh1nbIdYuvHJvh8GiZgbSJ4wW1Adn45W6PdFTn/35k16IPeLHu8K0zecqWyz2DKW7tDVxMx6eqZGJ6EBRUBZLAxbKYAgAoNVxmKzYRXWEgvTr3z4mpCn93eBJdDTqqvjxa4ocfHCRmBCmlrR5U1WoV27Yp1Sxmy3VSumRqJk/D8Sjj40uf2brk5VfnULfFcV2XSqWyaO99KQPhPv91IaA/HeG+7WmeO59HVxQcz+eN+7roThiXbL95CsHW4jjr2ZJlfnvsrq4uqtUq9913H6VSiUKhwKlTp6jVapimSVdXF/v27VuT44YKYBNzPWMANzonp6t0JwwUITA1FYFgvNigk8WFxqUCodRw+c2vnCFfc9BUhSdOzfETbxji/u0ZepMGw7k6hqYEWVPIJa2GqarH5791HteTeFLywPY07zjQfVUBVKo7PDecp1C1GEprfPtsHtXz0Xwf4XmcmnX4ojvD9kRwLa7rIqXEtm2eHHX4+OEyiiKI6Qo/9VA/RybrRGMGnoTBDHzPW/Zgl+e4cOECp06dolqtEo/HyWazdHR0kEwm6Yjp7O6Kc2amSiKiMVX1uKU7Sjqq8/88uo8vvzbF10/OMl22mCo1+Pyrk7z7jr4NjwNs5nkAq2F+T7GOjg46Oi66ORuNBvV6fc2OFSqAFbLRgZqbQRhfDzIxnemyhakFgtmXkrihIbzlfWcvjxaZqzrtuoKq5fK5V6e5f3uGH3/DEL/xpdPMVW18P2hJ8eDOzKL7efJCg2xnAjOicHi0yO+ey/HMmVl+8O4sST0Q2MNzdWbKDUzFo9f0sD346oiL5QmihsohT6HiwlDawDANVFUlhcfOXd3cuyOLEIKZmRkqlQpeoof//cXDSCGQCIoNj48/P81vve8Ar06UiWgKb9idpStpUvTjoEehcweZXsFgQqFcLHDu3DkqlQqRSIS70h2kNJOyp7LNiHHvUBohBIYm6EtHEMDBoTQCwddPztERM3h478XZwCtZNW+UBQCbO9vtSp9DJBK5pk4GlxIqgE3MVogBrNfxHru9m088M8p4sYGUcGtvnP19Cc6fm77qtnNVm/GihTvPNaUoAqdZwDWYifKx9x7g3GwVFZ/BlEohn7tslkOtVuP8XJ3zcyOM1cCTAkXAsfEif1Cu8fMPdXM85/L0eQdN00GYPLizg1v7kqTqU2xruoscz+e1yQqWqhLTdWquTyKqsqcnddk9cnqmiiKC4wBoqkKu5rCzM8ad2xbGQMYKDX73+SINcQIJ3DWQ4lfffQtDQ0NIGQx2z+fzDNRzlColPM8jN2uRjEdJp9Ocnq4SMzW0ppBPRTROTlfaCmA1bNRqfqVcDwtgIwgVwCbmZnHHXA/6UhF+9s07mSg20FWFHdnoVV0TUkq+cWKaTx2exHI8Ts/WqdUaZCIKJcvlkSGDF198sV3tqSgKuq4zXjYua/ttGAZHx0tUvGF8zaTi2RgKxCM6e/pTlBsudjTL4ZlJdnSn0FQFX0peGi1fliYqJQxmIjy4q4OvHJvmzGzQVuL4dIUHd2SQwJHJGicnKygxFX9eMZ/nS6K6Qty8vP3En78wScmS7OqNIIGXR0t8+bVpvuuu/gWZK6389lOnTuE4DhMTExw/fpyZaZ/pgkJUJIlEItRtj2zMmHfe618IBksrjVLd4S+fH+XMbJXBTJQPvW6IzoRxw7iANoJQAWxytkIMYL2OlzRVolkT27Ypl4rBv+UyjUaD2dnZ9ko9X3N4atxjouozXJbszujULdAEDBds7h6I88EH+njLvk4ipomqLq+Xz6GJKW7tNMhLk4mSheMHrbEjmqDgSwQCZLBKB9or986EQUdMZ7xoEdEVqrbHW2/pJKIrTJYcBpqul796fhxDUag7Ht88V8YUHlE9qDU4NVVFUwW+IvjYe/cvmgo7VbGJ6QIhBALQVcF4obHk9aiqSiKRaM/wPVCu8XtfO8W56RKOPUvaVBhUFaan1bbfer0F2VL3ju9LfvfrZxmeq5GJ6RyZKPHbj5/i333ngVWdV6gAQjacreICWi7zp63Ztr3A3TL/tVZAVAiBpmkLxmVC4EdtzXEQqsYffHMEJ+rSGZGcqRQ5Vwmye/oyJqWGS0cixt7+LPFYbFnneDFOFAjV1w12EDVUXh4tYbs+40WLe7en2dcTY1smaGedjRmUGg7pqM5AOsL33tPPoZEi0xWb3V0xDg6m+csXxojoColm+qfjSV4aKVJzPHoSGp7j05kwuXtbkh97cJCIrrC3O05P0lz0XPd2RXkyX6VHShzPx/F9uhMGX3h1kobrc0d/Eh/IV226k+ZldQMdyRi//NgdDOfqSCkZSOlY1XJ7Mlej0SCRSLRTHq/mu17LlXm+5jCcq9HbnEUd0VWmSo2mSzB0AbUIFcAmZiu4gHzfx3EcSqXSFQV763OYL9Bb/8ZisQVCXtOWzm8/e/YsqVSqPVJwstRgrubQlzJpOB4RXWGuarf/H9VVYqbCaL7OLT1Lt4coN1w+9+oUw/k62ZjBd93Zw/1DSf56Mke+5tCTMHhgR4Z7h9Jsz0a5ZyiNpgi+995+vvTaDKP5OoMdUd59WzeGpmB7PidnakwULV6brJCrOUS0IOXS9X2kDGIDEV2h4QavXUzOF/SlTfZ0xWk4Hl8+NkOx7rC9I0oqqjGab5CMGrznji7OTRWYLFloiuDhPVmOTZXxPNBVhX94eYJURKMnGcH1fW5Nubz11oVK0NTVdnosALFIu5vmmTNncF2XcrncHt2YTqfp6Oho9+NfCxb7rnVVICX48uIcal+CoSqhC2geoQLYxNyIaaAtgb7U6rz1eyv33/M8hBA4jtMW4qZpkkwmF8xCXq8cbF1V8GXgMojoKnf0J3jyTJ5KwyMd03jdzjTlhkc6euVH5e9fnmSyZNGfNClbHn/1wjgfOtjJ23aY2PEoEV3hgR0ZOi9JF02YGh+4p/+y/X352CxTJYv+tInnS751Osc7b+tmrmrz6lgZKaA7bvAzb97BP742zedPlVCR7KjkiZsajx+b5SvMUKg79CUjxE2Vzx6ZomJ53NaXxPZrXJgtoymQimrs7oyzvzfBc8NFBjui1GyXUt3BUBUGMhE8X/LSyBSv3738bpetnvut6lff9ykWi+RyOY4cOYJlWaRSqbZC8C9p8LcclrpXU1Gdd97WwxePTqE0YyEP783SnzaZ2OQZfKEC2OS0ipeW6wu+luNcbwtASrmkQJ8v2C8NjM5fkeu6TiwWu2y4PQRzjxuNBjt27Fj3azk7W+Ovj5TQ9AaP3W1y+0CSbEzn4d0dfPN0DkUIfAkfeWQnzw0XOD1T5cnTOe7qTy5Z5AVQdzzGCo12kVcqojFRbATZNxmd227ru+q5eb7kxQtF8jWb7dkYY4UGmVhQuKYqAkURnJqq0hk36U4aIMGT8MWj04wVLe7sjZKr2kyVLHZ3KQxmIsxWbF6cKdKdMIkZKlXLo+74pKMaY0Wb09M1Sg0HRatybKLCk6dn6U4YXMjVkBJs72IWlKoIypbHy2NViFbZ3XX1ZnmXCjJFURbktbdm9+ZyOY4fP06lUkFKyYULF8hms4sWpy3GUu/5wL0D7OtJMFao05M0uW97ZtWVtBtpNYQKYJPTmgmw3goA1j5AKqXEdd0lV+flcpkjR460V+itFriXul1SqdSC11Y7E3mjlNzwXI1f/9Jp6vUGuuby6vQZvuvOHrqTJrf1JdjXHSdfs+lMmGgKfOtMnt1dcXRVodBw+fJrM7x5X+eiDeYMVUFXBfmag+tLNAUu5Ot8/bSkU9jcsl9esf+PLyV/8OQwzw4XEAACepMRarZLR0ynJ2ng+ZKK7dER09pWRKnhcnSizK7OOIrhkTLgZAE8P/hcG46P40lyTZeWLyUKQTVvvmpTtj0cT9KT0LE9n1LdoVR3SUY0/ObxdnXGaDgeh0YKTJZcnjhb4tkJh3fd1sMjt15bi4v5s3t37dpFqVTi1KlTSCk5ffp0u0K5ZSEkk8lFqpWXvneEEBwcSnNwKL3sbZZio3oOLfdYYSuI68hGTQVbzpd8aWB0MXfL/MAoBAps/urcMAwSiQS6rlOtVtmzZ8+iD9uNzBOnc/hSkomoqJrK2bzNJ54d5bbeBFXb4x0Hunjs9l4MTeELR6cxNYXelInt+pzP1fjTZ8d4abTMQ7syPLq/a8FnoyqCvpTJnz47ChKqtseerii2a/LCrE3ytRkem9csbniuxtdPzmG5PndtS9Gd0Hn+fJHeZBCwLNVtDo0U2Z41yc06nJiqcs9QGlUEsYaOmIEigl49UsKZ2SoDcYEugt5Dru/z9ZOzjBUaFBoOtfMeuiqIaAoRDYp1F9v38aVEV4Pr8PygUllKqDRcrObqX1cVqpZL3fY52B8hFTcwIyZfOT7D/Ts72gHpSxkvNDg0ViWdhI4uj8gypqAJITAMgx07drBjx452r/18Ps/w8DDlcplIJNKuVk6lUhu2Mg8tgJA2mqbhuu667X++QC8Wi1iWtahgbwl0VVUvE+jRaFCsM3+VvpybStf1KwZRNyutz2LJ85636qs5PlXboydhMFt1KNYd/ujpESaKFj/S7K/jNou+zufqlC2P/pRBb9Lg0y9P8tJIkYF0hLfe0klnwuDPnx/jL54bw9AUOhI6oupQsoIAck9M4chEmbfe2klEV5ksWfzVi+MYqoIQ8PjxGW7piaMoAiGgartMlWwA3rKvi1zV5pOHJhkvNmgNEutPVelOGliuR2/C5NRMjZNTNhlTYWdPitF8ndFCA10RqKqCQPKV43Mc6EvQkwxSTB/d3w2ew7fPFSk3HCK6iueDEmSmko7qVC2XMzM1fvj1Q8xUbPBqvDxWpeLW0FRBsWovqgBOTZX5P8+NUirWUDSbU0XBj79hO+ZVlMD8lbnnSwS0e+235vbW63VyuRyjo6MUi0FqrxACz/NIp9PLtso3qnhsNYQKYJOjKMqKFEArMLrU6vzSwKiiKBiGQaPRwPO89oq9tUpvCfT1CIzeaJXArSEuXzsxhyfhDbszvPXWrsvy3t+8r5MnT+cpNHwcP8gISZgqZcslFdEoWx7TFYunz+V5aFcHT5/NM5oP0gZ1BW7tTTBebDBaaFCsO7w8WuKLR6c5OJjiQj7oC2RqKnMVB10V+H7QkbRs+7w4NsdTZ/MMdUR4x/5upksWxYYb9HsRENdVYrrCqekqczWbuu2jq4LJYp3nL5SwXB9NEfi+BCHoihvoiiAeMxjKRpkoW8xVJJOOg0sFx5N0xHQMTaFYd5kq20gZKLPRQp2zc3Xu3pbmvsEEvYbHsZKKqgiihsLJqQqaInA8v91t9C+eH+XsTJVzs1V8P2jvIAT8+pdO8u+/az+uD9mY3hbwX3xtmlREJ+JpGKbBeKHOyenqZZXIi+EDnz48zjdOzmK7PslmFtKB/gSPHughGo2ybdu2dnHa4cOHiUajTE5Ocvz48XbKaUdHB5lMZtHBKxvZQno1z2ioADY5qqoyMTFBqVQilUotKdhbbqKWaXupHz0ajS5YuV+6ejl79izJZLKdVhdyOa9NVvjsq9N0JwO3yOPHZ4kbKg/tzi54367OGP/qXXv5q6dO4ikasw1BrhastMsNl/50hLipkas6JEyNjzyyk9cmK3ztxCzFuksmqnN8soLl+MR0hd5UhFzN5hsn53jdzgznZuvtlshSgiclZcvlGxcsVFUjE1M4n6vzR09fQFcFg5koioBc1Wa81OD77xvgVz59DMeTQaoiksdPzOF6gc8egnYUni+xfZ+YqlOsO5yZreG4EkMFU1NRFAXF96nZPr4PqgKW55OJ6riez0zZ5sJcg0LNIa4J9mcFf/zD9/PUmTn+7vAEY/kGPkGRmkDScD00oXDv9jTHJyr4gCkkhqLw3HCej/7jKXoSJglT5QcfCCptLccnoqtYtKyyIGX1akgpeXnS4tnZGXqSBs8P5ynUXfZ2xzk5XSZXdfihB4cWbKMoCt3d3SSTQZDetm3y+TwzMzOcOnUKIUQ78NzR0YGu6xvaQXQ1hApgHfA8j/vvv59t27bxuc99bsXb/+qv/ipf/vKX21kKP/uzP8s73/lOPvCBD7QF+vzURcMwVh0YbbEVCsGuldPTVSK6gtmcypWJ6Ryfql6mAAB2d8X4wbvSJBIJPDPFH37zPIdHSuzojHJrb5ypss3OzmBWb9zUeGBHhv29Cf7ihTFGCg2KDRdVFXQlTIQIKncNLajUvW8oxYsjJeqOx+6uGO+5s4fZYhXPB10PAsRSgqYKumI6pboTWABKMFHsb16awPchqiuYukrSVJmp2PSnIlRzwULCl4GCUQWM5Gs0XMlovo6mKjQ8SWdMQdUV6rZLwlCoOT6NpvWQjelMFi1cKdA1iOoqI/k64wVJ7m9eYbpi07A9VAVqDR9VFcQNjUxUY093nJmqhRCgC4gZGp6UVBsuSUOjPx1hrmLz+Vcn2NOTYLxQ50KuzlDCJy01NENne3Z5M5CHix6pSJSq5WG5PglTw/YkuzojPHVmju+/fxu6uvSq2jAMent76e3tBYIuqfl8nlwux7lz5/B9n0ajwfT0NJ2dnZjm4kVylxLGAG5wfud3focDBw5QKpVWtf2//tf/mt/4jd9ACMG73/1u/st/+S9tM3S9uNGE8Wq41mtMRjRs9+L2Ddsntchs2kvpS5n8m8f28dUTszxzrsBc1eH1OzPcvz1z2f7fsKuD//7N80R1lcmixWihTjqqEzc1+pIG02WbsuXi+D59SZPvvKOXx27v4eXzM3hygqrlNouSAtfTA9vTdCYMaAZdX50oBytkEazyLcdDQWK7krmqjQQsx0dTBTuyESqWx56uoML3i69Nk6sEfYbGii5ClZiaACG5pSdGMqpzYqLCdNnCcj0kAkUTDM/V8JrFY986M4eUEDNUIppCJqoQj6j0Jg06oiaFmkNUU1AVcP0gPdTzJZqqkDBVbNfn7GyVLx4tkzA1Dg5lcH3JyckCb0jG+NGHttOVuLqglVKSNhVydS9otU1g8UR0hULDYXiuxu9+7QxvuaWL+3Z0tLe5krDUNI3u7u62Fe15Hk8//TSVSoXR0dFlF6eFCuAGZnR0lM9//vP8q3/1r/jP//k/r2ofsXltANY7CNziRiwE22ge3JnhlfEyY4UGCEiaGo/ccuVulK3rU4Tg0f3dPLIveP/8lWWuamO5Pqam8PFnRkhFdfrTEWKGwumZGru7YnQnDHRFIV93KRRcPF9ieR5PnJrFdj3u6jVJGjBT9yHo/EPcVBjsiOJ6wTlMly1qdhAwNjWFuu03A7E+QgRCOW5qVG2XwUyEH3twkH94ZYquhEmx7pCN6cR0FRWf8wUb3ffojEXoTOh0JUwePdDFRNGi5vp4fpChpHrgSontBWmhwUQDsFyXpKmiKIK4rzBWsCk3fM7M1chENFQBQqXZYE4lZijETY2XRgoMz1YD15cveXWsyJv3daG6de4ciDOUvXoLjdb38tBQlJnzgXtpumyhCMjGdY5NlOlJmpyeqfHK2Fl+9i27eN2u7IqFpaqqaJrG3r17URTlqsVp0Wh01cI4VACbhF/4hV/gN3/zNymXy2uyv41KA4WtMQ9gudd4crrKM+fymJrCW2/pJBnR+LPnxnhtokxUV3jv3f08sCO9ZGoiLNU2YKFL4bOvTPL0uQKmFsy7rVgeQ80ul9syURQh+L57BxjqiPB7T5wnHdGINnv0FBsumqLwwoUib9zejy8h1gyONlwPy/Y5O1Pl1965F09KPvHMKPt7E5yZrbGvJ8aFuQamLtiRjXJkoto+X1NTyddcXhkvcz5fZ6qpOCTQmzIZz9cQBEpNCIHrSUYLDV4dK9OVMNCE4IxzUUgrSqCQ5nvmJVCyPAw1WHmriiBmqMH0r+ECd/dFmG2Ah4LjSb7/vgGmKzbnZmv0JE18CQ0nqC0o1R18X2JewV2zGAlDQRHBHIS7tqUo1hxG8nV6kga3DyQBgRCSTx0apzNh4njX5s+/WnFavV4nkUhQr9ep1+ukUpe34F7OcVZ7fuvNTa8APve5z9HT08N9993HN77xjTXZZ6sQbL3ZCjGA5V7jK2MlPvaVMyADofXVE0HV6uHRElFdxXJ9/ujpC9y3/c5rOp+vvDbNx58ZI2YoCARdSZ2Zik1X3CBqqNQdD0NVuLU3ju8HTdT0Zn+Z6bJFqeFRswp0JQws16c3rjJRE9Qsl5iu4smgTfE3TuX47rt7UYRgX3ccX0pGCxbZuM7PvHkHqYjOL3/6GK4vUQVYjsfuvgRzFZv7t2c4NV2l1HCxXR/Pk1husxJbwHipQb6mkI5pfONUjumSRa7mgAg+O8sHVUqW+pY9T+KrEkUKNFWQq9pB3yFN8MieNJoZJV+1eXhvJzuzMWZKDSqWx/lcjbmqHVQp+z4DMcmtPcvz/UNzLq4bNLjTFYEnJbu649hTsqmkBb6UnJquUnd8xgoNdLfGf9jhEr96YfIClrrvLi1Ok1JSqVQ4cuQIIyMjnD59+qrFafOvJ1QA15mnnnqKz3zmM3zhC1+g0WhQKpX4oR/6If7P//k/q97nze4C2oz87aFJDFUhFdGQwLnZKq+OlxlImUR0hYgepHQemyxz//YMw3M1HE8y1BFZ9vB0y/X58vFZYoZCR0zHl5LZisPOjihV26NsuShC8N67e/nkoUkajoft+UyWLGarDlXbb++n1HD5o2cm6I0rxOIxjk9W0FVBWle5pTfBSyNFhICK5TJRaLCzK0o2ZjCQjrC/L8njx2e4oz/Jy2NBzOreoTRv39/Fc8MFuhMGXXGD2YrFiakKJ2cqNBwfCdSb/9qOT6HmIgS0QyTzbqUrLpwFJCIaluMzkqtyfraC5UG+Iqn5KvfujKCoImgxYWr0piJ889A4luvjehIhoGF7OBHBy+M1dg1e+XOXUuI1ixy+eaHGbMUO6iRqDsWaQ8JQmzUUdU5MVZirOJiaoFTXEJ7PX704wS+9M33lg6wSIQTJZJJYLMaePXuIx+PUajVyudyC4rSWQkilUu3Uz/VQAFetd1khN70C+OhHP8pHP/pRAL7xjW/wW7/1W9ck/CFYJWyUBXA9XEBreUxfBgPMJ0oW/SmTuwdTC3L0l3uNlusFKZbAaL5Orupguz5TZYts3CBpasGDA/yPb53nxFQwGSsZUfm/3rKT7iVaIi88RrCaV8VFF0il4bCjI8J33NlLb9KgM27wyUMTqAJ6kwa6An/z0iRSgiCQsRJwfPj8sRz39Gl0pBQyMY2YrrCrK07Zcjk6WaZme2TiOk1HPG/ck8XzfX7oE4eoOx4RTSGqK/ybd+/jod1Zzs7WePpsHssNqngPjZVQBdiuxPUXyPf2eSy5zL8CEqg2HOqObNfPmZrA9eHIRJWIafKLb9tDdzKolD4+VWkPp1dE8B3UXR8FlSfPFnjkDqfd1+hSnjg5y//61jAN12df1mAsb3Hf9jSvjpXxZRAEf+yOXn784R38hy+coFhz28VqZ2drxDXJV0/McdvAJO+4rac9W2GtaQllIQTxeJx4PL5ocVqpVELXdTo6OohGl2/9LHasjeCmVwDrga7rG2IBwI09EEZKyademuDJ0zk0NfBLP7wnyw/c17/iG/xtt3bxx98eoeF4zFVtoobKrs4Y53I1pssWri/Z1x3Hcjxem6ywLWVSdyUzFYtPHprgZ9+8s72vuuNxarqKELC9I4rRTCFNmCo7OqPYrs9s1aJQc5mrOoyXGvzRUxdImCp7umI8d75ANqZTtrxmgzWProTBhfzCYSoSODnn8jO3p+lLRzg/V8f3Jcdma+hK4M6YKDToS5lozdYT/+azJ6g0i8TKDQ9L8/mDb57n3u0Zhjoi7O+N841TOWq2R1xXmK06QWqolHhNJdBSRKv/4qDhSCJaIPD8pmsmiDHAubkaL14o8reHJsjXbEbydWqWh6EreL6H70sajseRaZdYyee/fPU0923P8J139qHM64l0arrC73/jLKmIRiqicXSqSqXu8s6hKOmoQbHuUG44fOh1Qwx1xCjVXaKGiuV6KELg+D4lGzqk5C9fGGWqbPHhN6xPU8ErCeVLi9MsyyKXyzE1NcXc3BzPPvts20JYqjhtucdaa7aUAnjkkUd45JFHrnk/reyB9WazumMgKOwZaQq8oY7IornZuZrDU2fzDKRNlGYl67fP5Xl0fxddiZUNtn77/i6EgM+8Ok2h5nDv9gxdcZ3elMG5uTrvP9jH+w72841Tc2hCcHy6ykTRwnZ9Xh0rM1myeNPeLF3S5XOvlHHVMlJK+tMRfrTZ/kERgh+4b4B/eGWKc3M1jo6XuXNbkkxU59XxEkfGbZ48nWuvirMxncGOCJ6k7YO/FNuFf3hlim2ZCElTpdBwMZRgQEnUUDF1hdFCg/50hENNt5AnA7+/50sqDZ/jk1X+4z+e5v7tKRqOz7tv7+bwSJFnhwvUbQ/HC4q+FBG4dlYr/FWCNFRFCYbNWJ5EFU3rQtKcMyyZLDb46xdGcf2gl9CtPXGeHS5QrrvtucmWFygMDxfL9Xj2XJ6dnTHuGrzoqjkzU8VHtiuI47rCaN7ji0en6Ywb9KZNbh9Isb2ZRRQzVDQFVEOjYrn4gKHA/t4EhqbxjZOzfPCBwau2nFhvTNOkv7+feDyOpmnccsst5PN5Zmdn28VpmUymXbGs6wuto6spgLWUC1tKAawVGxkD2AhFc+kxr2YBVC2X33/yPKOFOlLCjmyUn33zzrYboEXLH9xa9SlKMPKw1Wdnucdrve/t+7t5eE+W//b1c1TtoFDI0FS+685ePvjANoQQ7MxGmavZjBcsTE2Qt100RXBkvMyxyQqVWgMUhdsHVPZ2xzgzU+U3v3KGbZkI929Pc3AwxY88GDit/8XfH8NQBVNlG9uTNFwfXREoqsB2fQp1F12tY6iC2aqz6HmrSpA3P1OxKTVcMlGNyVKDiK5SqAduLMeH7703yitjJVxfNoPLst37x/Z8vnh0mm+cmuXh3Vk8GcX2fAQQNVSqjo+P5FrFniRw4Ui/Vc0Ml97lmiIQisDxZVMgC2xP8vDuDr5+cq5tfQiaFcwSDo+UeHhPJ1Nla8G+0lEdZDMGIOF83iJhKNzen2S00MB2fX76TbvaFtrPPrKLX/jrV7E9H1UE5xbRgqZ4QgmC0P/9ibN898EBdi2jXfWKPptrqAReqjgtn8+3i9PS6XRbIdwwFoAQQsitkKd4CZqm4TiLP/BryWbNyf/K8Vku5IPB5FJKzufqfO3kLN95R++C93UmDLalI4wVG6SjGsV60HKhM764P3gppJQcGS9zdq5GZ9zgx14/yJdem2GmYvO6nRnedVt3+4E50Jfg7m0pLuSmcOxg3m42plOsu0R0hZoj6UkqDM/VUAQcnSjjI9GE4G9eHOeBHRnuGkzxrgPdHNyW5InTOSzXo9xw8OXFlbCmBrMDig0fUwHpg64Ef3fnf2XN5/hCrkbF8pkpC6K6QsPxcD0fVwYTq/7fL54K2jx4EucSne9LqDo+NcfnhXMzHB9TmKv7SD8QnH7T+FhFRuTC4wCWB6JpQyzmToroCpYHnXGDqn3R6pEIMjEd2/XagWjPk7h+kKF0bq7K9myUiuUSN1QePzbD8+fzaKrCRClodOdLyV39Efb0JNjbk2Ci1GC+HLxvewd/9MP38HvfOMtzw3l0DWzH5fBoGUWBwUyUY5NVjv3jSf7Nd+xnW2Z1PvjFWMtCsMWK0wqFAvl8ngsXLlCr1YhGo2iadk2xhOWwYgUghIgCjwIHAEUIcQZ4Qko5tdYnt1nZrHUAUkpem6gwW7XpT0euOMJwKZajdKbKFvHmal+I1rxV+7L3aYrgn71pB3//8iQXcnXuGUzxvoP9VyzlX4wvHJ3hr18cD9wjvuTgYJp//tZdqIqg7njkaw6OKUlFgi6mjx7o5rXJCgpwPl/H8QKXSqvhme1JoobChbk6s1Ub25Vt4fn5o9OcaQZb/+1j+3B8+OsXx2g4QdGU60s8RxLRBXVb4kiJxcWgq6YKErqC64OpCnThkavZlK1mdo4nsT2PmC4wVfCFgiKganmBy+QqX/d4RQLBvRfVQNMUVMVH+gtz+q+F+aegiEABSQLFVrY8MlGdzrhO3XKZLttsy0SI6CqpiEapEWQitfbi+pJSw+XCXI3P1Mb59tk5HtrVyeePThLVVZDBJLbvvquPTz5/gVLDI1e1iZsaAnFZG+lb+5J0JUyGsjEShsqFmSJzDYgbGncMBDn6E8UGz5/LcdTUOTVdZk9XnLfu72lbEqv6TNaxElhVVTo7O+nsDAoSh4eHsW2bRqPB0aNHsSyLZDLZjiHEljGbermsSAEIIbYBfweUgWcJ7sQfAX5FCPEjUsqja3Zmm5jNWAcgpeTPnx/nS6/NtFdNP3DfAN8xrw/9Sva1FK3c8wu5Ovt6FIxmv/g9XYuvUlIRjR99cOk8QCEEs1WXf3ximLmKza19Cb77rt5AOBDEGj51aILOuN7Ot391vMTpmSoRXeV/fOt8kAIpJd93bz8P7c5y10CSx27r4YuvTbePk44FzdPu7Dape4LhghM0O3MW5sP7EuaqNooiODpR4YP3D/Dtczn2dsc5NV1lthp01kyaOgpe0F6huQPfB18EKY1dMY29HSqHxlxK1rw2x81fy7akBuiKhyuXt3q/9C01l6A3wzpy6Xn5Pjiuz9HxYCxlVFfZ2RnnJx/ezh8/fYFPH54goqvUbBdVCXobZaIahq4ynKtzaqbGSxeK3LM9jampENWZLDV46nSOuisZL9qcLc7SmzL5/vu24S9yLxqagu9LVFUhGxVUPUHCvNjCXEqf//PcKOfmaggh0BXBt87k+LffuX/Fi48WGz1HOB6Ps23bNnbv3t0uTsvn85w8eZL+/n527ty5qv1eykotgP8K/Hcp5SfmvyiE+C7gPwshvkNKuTHpMdeRjRwIs1wLYLJk8eVjM3QldFRF4Ho+f/PSOG/Zl71iZexix1yK2YrNv/rsCXJVm3zNYazQ4EBfkrfsy/KmvVduv7AUVdvjz4+UicQkcUPlW2dyVBouP/nwdiBYQfry4kQtIQSKEDRcnz9/bgyBoLeZjvjXL02wtztOd9LkA/f28+iBLgo1hzOzVcYKFiemq1TKFaK64EBfgumKzYXC5ZZLzfbwfInreXiei+/5RHW4qy9CzVKZqjg80KfxhdMOXjPwqhCswBXA9XwO9hmkTZVXJ+tLZuV4NKd3reqTuz74QNHyiKo+e3viqJrO10/Osq8nznvv7ufR/d381QujnJmpkdUsjud9ZioOvnSINH1kVbtV+xBYqHXbYyRfZ2+nyYjwOZN3ydccPv7t87wyVuJX3nkLyXn9nd5/zwAvni8wW7GoNXw641GSEZ3ZSpANVnM8zs7WSEZUVEWhYXs8dSbHqekKt/VfvSX1WrFWdQDzi9PWenTqShXA3cCH4KL/XwihSik/K4T4z4DO5XGjm47NWAhWtYPUOLUpKFv50DXbW7ECWOqYf//yJIWaQ0/SpCdpMlO2uGMgwQcfWH1TvLGiTd2RbGuOORxIKbw8ViJXtSnUXaK6wh0DSV4dK9MR06nYgQ+5P2VSarZxhmBVqAjBXNVp5/ynozqaIvjLF8c5PV3FlzAYV/gne1N88miFoZTGMTXwe8/HdjzGcxV++x+P0RlV2dOhczIf9AXyULitL8kD+7IcLUwxWbLI1VyCaCako0FK42hFQWh68/u4/PMUgKYE9QJX+oYjmsDx5DX799caRdPxfcnZySIzNZ9f+/QRsjGDR27pQiLY15OgVnbpT+mMF20EwXX4CDpiBtMVm0zcwHI8Sg2XhuMxVZIUGx5+s6ZiqmTzrdNz9KbP8/Nv2d0Wirf0JvjN99/O14/PcGHkAj/6tjtpeJJnz+WJaEFw/czMMIoIngFdU2i43qraRrQIm8EF1IEIYLeCv1JKb97f1qcKY5OhquqmUwAD6QhxU6VQc0hFNPI1l+6EQTa+snTLK5Gr2e0RggBms0/OtaCrCr6U7Zve9SWuJ/m9J4dxPIn0JfdsT5OOaBybrLCnM8aPPTREV8IgFdUo1h3SUR3L8XA9D0NazM42sCwL27b52yN5XhqrkzEA6XOkKMmKKrWaQkLo7O8yeGXKbgthBTB0lf5MhG3pCLmawzNTFrf1JUk0W0S/bX8Xni95/HSJiK6SMG0u5BvETJUD/UnuGUozkquzr1Pn8RNLt1yAiz72pVgP4X/NdQKALwV5WxAYUIJMRKNhe3zrxAQpQ9CVjBBXPXZ2pDg2VaPUcPFdQURX0BTBfdszDHZEGcvXgxbruRrFukfrblIVQc0OXGyffXmShKHxYw9tbwvG3V1xdr8xzrPPTrGjM4aqqu3V/bfP5kiYGnXbRdcU6rZHd9JkT9PiKNuS09MVuhLmkgVql3KzKoCVCuzXgAeEEBEhRFQIoQEIIW4HXuHa76sbAk3TNjw982rEDJV/+Y499CZN8jWHnV1RfvnRPVccRr4YV1I6923PYLk+jhf8NByP+7avvATf8XxeHivx3HCBpKmyu0NnrGgxUWwwXQ6KvHRF0Jc06IprPHNmlt6Ih4HDyEyRj3/9NZ479CoPpcvMzc1y7PwE5yZmeH2njV2coVQqIaUkHo+Tdw16MkEArae7m0Qsgp7Ictv2Xiw1RiaZIBvX6YhpHOiN8fDeDJqq0Js0cHwZBIk9SdzUUBWBqSlEdZWEqfELb91FOqrjSUkqorCvO8rBwRSqIjB0hS+fyNMRURZ18bSqha8k/OHaM3sWYyW7XOru8aRkeK6G7Qa1AFVX4gkF1Yiyb7CHeNRkquxwcnSWpObREw9mHBiqguNLfupNO/ng6waxPJ9c1Vkg/OHiSEgpYTAT4Zun5zg9U738Wha5Vx/c2cEHHxgk2RyCEzNUBtIRfuvxU3zqxTF+/7DFv/v8cT7yN6/w/HB+WZ/DzaoAVmoB/BLwE8D7CO6N14QQfwaYwC9LKWtrfH6bko2qBF5pGuhQR5Tf+O7963Y+b7ulk0LN4TOvTCGB7723n0f3dy1r21LDZaI5XvFTL01wfKpC0NnN5W0DPjUHpisOe9KSC0WPkgUVoaCqKqW65G8O15BAzZaMlgWeFuVX33mAf/J6hULdJWGqi7q69vRZPH0mT0oJPkvHl/Qldd5+93b+8oVxXhopkonqPLQrQ832ePpsEIM4MlamM2HgNwXRaL7OZMnimbM5zufq/OD9A5ydreF4Pm/ck2V4rsaJqSqOn2NHNoqpCjwfhpIqs/VgDvG1oALaIu6q9URXgofcXuTUd2QjmJrKM+fy1J0g3VMSBGB9Cffu6qGa9jmwY4A/e2GSQrVBoWaT1DwSEY0jZ0f47IkqI/kGk+XL4zCtrKqO5rjOuuMxVWqwryfRfo/t+uQbQT+mqKry4vk8f3toHNeX3DmQ4rvv6uXwSImxYgPL9Xl5tMRnX5lkR1zSFTepOx6/942z/MEP3n3VflEbNUbyWo61GlaqAH4KeAD4GyAP/CDwBuDDUsrLv8WblJu5F9CVjimE4AP39POBe/oXvC6lxPO8ttvl0p/hXJ2/fq2G4wfmd8ODW7PB8Pmi5fMnRxx60hoRzeBIEboSBnpMpy9lYrk+uZkadauBBBIxFdv1eOZ8mULDpzup03eFys/3H+zjfK7OWLNo7Y6eCK8bipOO6vz0m3ZQsz3+57fOc2a2xgvni7i+JG4oVByPRrGBqgS+6xdHgqZsioC/eXGcJ07NcedAkogeVBBriqBkuRQmKpyfq/Pwng4ObovzwnCD+3ekeepM/ppW860c/Y1EFZfUNHDRfXR4tERn3Ghfk938pWL5vHihyJHxMo5t8c+yFsena0EXVUWl5Cjcno7xpRMlhmfq7QZ6l9JqO1G1PV6bCNq4/9vPHufhPVlAMNgR4avHZ5grNvjfpw5heT6nZ2pEdYWBdISvHZ9hWybCeNFCVYJ7Km6o+L7E8gPhGtVVqpZLoe4su2HgSlgvC2DDK4HnFXx9F/ColHKu+ad/EEIcArqA8TU7q03ORgWB4frOA/A8b4EgX0zAt1xhrcH1rR/TNInFYhiGwZ+dHCGbjZCOaozm6xybrKLGkqQiOpV8lbrrsK0j8M96ftBWeX9fgomihaYKHrujh//29XN0JfRmoFtBUYJGcFdr8paO6vz/3rWXiaKFqgi80vQCt1jMUPmpN+7g33/+BLoq6EkaRHSVXM0mqqs0HI/pit12R3gSSpZDpK5yYrqClILOmMYr4xUMVSGT0MnGdV4eK7G/O4rlSvI1h/50hMlSY72zNtcMAXQlTFRFUKg5FJt1Cq270fVhapGVu9v8/mKGimW7/NbXL9CZMFGFoOYE+yhZknNzFnXHZ4kOGmSjKvlGkI1laApxQ2Wi2OArx4KB8596sU4rvj5WLl3MwPJ9Tk5XkQQFiq4vURWYKDYYzEQBgdu8Z6uWi6kpZGNXj5OFM4EDqsB+IcSLzW2zBMHfDV6bXF9UVb1hewH5vn+ZELcsC8dxsCyrPTRneHgYVVUXCPXW3GPTNJccZH8plYbDodEKjueTMFWGMhGECAaxJw2NYsMjqs/rDgqoquAn3zCE6wfZPaqAvzs8yVSp0c5u2pmNLigScjy/Xe17qStIV5X2TNqR8sLP1HZ9nh3OM1dziOpK+6HVFUHcUIkbKvmag+3KtlvCdoNCsj2dcSbLFmdn6xTrDjS7kVYsl0LdBSmJKUETvPfd1csff3ukLXxWwvVIE5XAWNG67LXlYLk+ru+jAPW6S7EeLJaECKqgz83V0BWwhUAqclGlmKsHw24SGuhqMA/Bk1C3fRquFaTQXlqjAKgymHYGgApCBo3tJosWpbrLvt44jWqZmYqFqSn80qN7iRrLa6KxZWMA89o9/Arwh8BZYBZ4K/BvgZl1ObtNymZLA5VSLup6mS/gW+erKMplQj0ej7d/n56eJhKJ0NfXd83nb7s+/+LTx5ksWUgpmasKpsoWQx1RDFVhtmbz8K4kr4y4zQcyKCB6+/4uDE3FIGgP8PcvT1KzXUoNj56kyvaOCPduz7CrM6iInK3YfOrQBKVGcI3/ZF8nD+zMXPHzgmC1+offPM/xqQq5itOc5iWIN1sYvOeuXoZnaxybrCDmZev4Em7vT2D7ktv6E3zu1SkkQbZOxXLbXTmnyjYCScIUfOrwBL6U7XqBldBqybDRrDZ7SRJYCK1zbj8pUuJaHnFDYBo6uqZSrNsLekNdeuyKC4rrtz8zQ/EpXsHZPF8pWI6PoghUBTIxHV0VfNddfQzaDgfuuoNMTL+s0ngtuWkUQAsp5dNCiAcI4gBJ4JeklIX1OLHNzEb0Amr51W3bJpfLLSrYHcdp3yyXCvVIJEIqlWr/X9O0Zd1UrWEWa8HpmSpHx8sYKlgu+L6kZknesDPDL7xtD1JKqtUqRzodXqunmalY3DGQ4p23dbf38dXjs3zy0ATZqEFUV5mt2Dywo4Pvvbe/XfPwuSNTWK5Hf9rE9Xy+emKWoWyEvtTiA75bnJ+rcXyqguN5KKqgI6qTrzv0pwx++o07eP3uLIdGCnzhtRkqlht0ywRipkrN8UkYGk+fzZOvuUQ1hYrl47QWnyLwiwvA8X1MTcXxJLoWNE/bhC2eVoQvQVskRjCfS1sitSwo3xfYzeC6qigIvAUK9rJjzfu9vMzHzmgOsPd92dy3pGr5HL5QYM82QV/6yvfGWnDTKQAhxBuBDBeV+tuFEDrwD1slAwgCF5BlWVd/4yXMF+rz3S6XCvb5N4Drum2fumEYJBKJtlDXdX3Nb5S1nQcQtEm2PYnSbJTmS3B8yVdPzNIR09mbUUiZCj9+z9Ci+3jufIGYrmFoSrMFAMxUgkrkVnfNqbJNfyrw42qqgqIIinWXuhO0HTA1hYd2d9AZNzgzZ3FizqZ7WuHwSJEjExUc16cnZdCTDMY+bu+IMla0ePpsjp6kyb7uOHEzGEkYWDIO33/vABPFBt84NYvt+c0ip4u0qoMRULE8LDtwYXhXkphX+ixXtdX6spJLmf9WVQ16H0FgJQoCV19jiUypqK5guX6gNJdxTJUgc6llbSV0pamIJYdHijzatTHC9aZRAEIIRUrpA98P7CHw+wPcS6AMvglsGQVwaRropcHSxQKmSwVLDcMgk8ksEOqtVXixWGRycpJ9+/Zdl+u8VvZ0x1CEgu97KM00TAE8fnyOl0ZLIOGegRiPDS7tFOmI6djexfxv2/Mp1R3+4MnhZsthgaEJcjWHzrgR9MaXktF8nT97fhxVgKYoPHE6xzsOdPEXh/PoimD4WJlizUFVWoHnoClcR1Tji6/N8vVTOYQQ3DWQ5I17OvjmmTyt2PHPvWUn9wylefJ0jqiuUqy7S2b4CAAJ9rx2EUuRNoNCuCU6SwczAjaJJjCUxdNDl0PF8lFEUKErZfCZLCX8af6t5QZbziFbAcnWe6u2T8MN6gHKlstnzsLb3+yv2/SwFjdNFlBT+COl/L8WOZk/IagO3rSMjIzwIz/yI0xOTqIoCj/1Uz/FRz7ykRXt4+TJk3zyk59kcnKSZ555hnK5zF/+5V/y27/921cMluq6jmEYVw2WLsZmSwNdKRFd5Y6BBCeng0rQoJsnFBsOqWgw1OMzR+c4O6Xwr7bVGeq4vKHc9xzs4+XRMtNlKwgKmiqlhstQNkJEU7Ecj8mKTa+uMlkM3nPvUIo/enqEYiPI8uiKG5TqDn/x3BhJI2hnXGnGC1IRnULdwfF8ZisNRgvBcT1fEjdVXhkv8b67e3lgZ4aZis3uzhg7O2NIKSnVbYp1d8kWA4qAjAkFGxQEfrNdxGXvI3i5ZF17T/+NQFOC7Cmn4a3KMpEEisxbZm2EvOTfSxFX+bsEogJ04WOqKlNVjwu5Oru713ZmwGXHvVksgBZCCIOg348CGECBoC30+n6S14imafz2b/829957L+Vymfvuu49HH32U2267bdn7MAyD/fv388gjj7Bjxw6KxSK//Mu/vI5nvXnnAbRo9emfrth0JwzuHEgihKBYd8g1W1J88P5tfPTLZ4g22ydLgkyOMzO1YCKWpuC48IlnRvmlt+9udwF1/aCFcyqi89ZbsjwzXODcXI3xYp1Sw6MjqnFbX5I7t6UwVIV339HD516dZiRf50++XaBseUT0oGp3pmqTieq4nkQ1oFBx0dVg7q+uCrIxnYmStcAH7fiSYj14398enqQrYeD58FKsyC09cU5P13jhQgnb9dFUsahrx5PQG1dIRINK56VW7/M9G1dKLdjI1b8mghX0Yn55zw8K29Sm336+GA+ssuZ0sqv0OVoLBM15xZ7ElUu3uSh70KfrHOg2mc6XeeHFFyn3p+ns7KSrq4tIZO3XsFLKVcXUNp0CmOcC+l3gIEE6qE/QHO6zwIX1OsG1oL+/n/7+oHgpmUxy4MABxsbGVqQAdu7c2W7BeuHChXa65Hqy2S2Avzs8yeMnZts58o/c0smdAwn+4oXx9sP/3rt6uaM/wVNng0KothnvSxquR0TT6IwHA1LOzlR54nSOb54Jxi7u742Tq7mcnCqTq7m4vt8OnubrLofHSkgk6ajOv/7sSUp1B8/zmas7IIN5BH3pCLYbuI1SpsozIzU8v9XjXlK1feqOF9QGSInlLVxx2l4wxjJpaty1LcGL5/N84eg0jtt0SwgwFSXoHHrJx6YKOFv0iZn+FfP/N5uKVyFQkPJigdd8JJCJqGzriHFsqoztBpaNokBMV1EUgaYKZivrPzQpKgJXlBBByueVrATHA0/R6YxrvOetb2CuUOJ/f/scp6fP0GXC++7sZNdAN9ls9rIxjathPSyAtZYHK3IBAR8DogRuNhd4iKAW4IZpAjc8PMyhQ4d48MEHV72PjRwIcz1Yzk1WqDl87eQsfcmgWMjzJU+cmuPFCwU6YgYxQ8X2fD798iQxU0WIoI+OImhPjBLAHf1xRgtl6sUKv//EMFNNV0/N8vjSazXqtk/UVIKmaM27MGGq7YlaJ5tdPot1F2RT0IqLq+qq7SKAuYrLeNHHcppjKoVAFQqmKpC+gmEqzCwhsDw/UDhPni4EAl8LDmC5Ek0VaEqgbAwhsb1AGbae34YLnnSJm9feOG+j8IDG1SK8QtCTMjE1hVfHS0T1oM9P2XKpWu6GFbzVJCQNBdsLJqQtReDul9y9LcU+1cKV8D+fneR8QZBOdTDVcPibkzY/ESlw7tw5ALLZLJNOhJN5n5lxh9tqzrKbx7W4qVxAUsqzrd+bbaBPCyH+EXgBeGqzj4isVCq8//3v57/+1/9KKrX6vuCbcR7ARh+z4foIgvbTtuczmm8wXbZIRDR6mtW5hqogRJBeCTSLoIKpXK1S/2+eCdovJEyLiZJFRFfojGmULA/LCfK/LTv4t3VWDTtI24wbKqoiUBEYqqDuNDNTZLD6hsA1EDU0EqbAqvntOIRpBENEOmIa+bpLueESDEO8eO2X+pYlgXBvTRiTBHOPFUWgqoI37cnywvki+ZobWCCawHWDMY+u7y3pntiMXO08c1WHr5+Ybc8E1hSffM3Z8CC1JoIiMVNXsZYoK1YFmKpCb8okGVH5wxca/PHJQ4zl69yzPU3UUIkaKtNli2TvELcfuBXHcfj8S8P8j6fP4nkenu9z9M+f5zffu5/+ro5lCej1qgTe8CDwvAM/APQTLBIUIUQ/kOIGyAByHIf3v//9fOhDH+J7vud7rmlfm60QbK1ZzjG7Egb9aZPxosVovk6p4TaLnyzG83VuH0gx2BGlantMlIKWDkKouL6PqSp0xHQcTzJuNxAEcwsMVVBq+Kg0B78ogHd5uqEjQXGDlfxAKsJosYHrX5ylG/iFleZ5mtieh4Og4fjt8YYNx0cRHqWGQlfCCN7negzP1oIskqb7Y7Fc9qDlQPCargpE8/Oq2z7bs1FKjXJTWVzcWsqLBV2L7XO1XC+l4jYjua0AeLFxfayblsJ35llXl2ZLeTJYsFQtl9/9xnl83+PutIrl+rw2Uea+7RkkQWLAN0/Nsq0jxkO7OvjcyQpd6QRRQyWXz5Ore3z+hdMcSNokEon2GMelRjTeNEHgeTGAx4DXA0UCV24O+KdSyiOwoGJ4UyGl5Cd+4ic4cOAAv/iLv3jN+9uokZCw8b2AlnvjaYrg5968k997cphT01WSpkrd9YmbGvmaw/MXCozkanQlDEq2x10DCSZKNpWGy+t2ZBgt1BnO1RHiYn1A3ZVoSpAl5PrBg7xU6qQPzFYdak6Fuu0tcDlIWoPbFW7piVOoO7x4odgW/hAIjmpT6cTNoLr41XELV7aKtAQxQ6FmX3RXqUowElFRBNKXzWpYGQRKheDV8TIRXSGiq9QdD8dbeE7z/4WLDc+uZdW8GR64zXYOi32evgxaguiqwENwIVdnKBvlfK7ORNGiWLMpNFz+9tAEAJ/vjtNoxYYIvitD19k2tIOHb++hUqkwNzfHsWPHaDQaZDIZOjs7yWazGEZQk3LTKAAppS+E0KSU/7712ryJYInm3zbtJLCnnnqKP/uzP+POO+/k4MGDAPzGb/wGjz322Kr2t5EWwEZzqdVRarj8w8uTjBUb7O2O85139LTL5zMxne+7d4C5is2JqSr5qoPbFIzpqMZoyWK8bCGlYLJocXAwxWnL45WJMq4XBHRbeeAQCENVCFIRlarjt11AS+H6UGquPBVB03II+uzbnsSXPnFDoSMa5dvn8pdt70mYrbkkIxqvjleYKFpNH79CVFdQlcBNlKvaOH5wPF2B7RmT4VwjCCYTtGmWvsT2gvMdzEQ4O1vDRaI3q2Vbn+h8t1IrHfJG5kY5fUXAbNmm4fpoQmK5Pv2pCIoQfMedvfzdoXG2x/R2H6mzs1XuGEhxeLRI0tSoOJJ0VOXuwWDwfDKZJJlMsnPnTnzfp1gsMjs7y/nz5/F9n2w2i2VZqxrgvukUgBDinwMPCyEqBDn/EvCaaaFZ4P8BXt6sMYA3vvGNa7qS3shmcNfz42w4Hr/86WOM5uokTJUTUxUmSxY/9+Yd7Rt0ZzaKKkTg/232hEfCTNmhuZBGEsxpfW44T8zU2NcTZ6psMTkv9VJppw5KUlGdoazGSyPLz7SSEiKG0m4vnIlp+J7kk4cm8TyJx9L9dM7lGu3fFQJ3gZQSUw/GTAaDxIPZxJ4M5hYkTJV8s2FZa6Xv2j4qPsOuj9NMY1UV2h0vr5avHrI+CAJFa7leMLzGAlP3qdoev/quW7h3e4bPvToVBPfn8eCuDm7vT/HUmTminsIvv+cA2zKX16ooikJHRwcdHR1AUL2fy+U4c+YMhUKB0dHRtrsolUpdVbhvOgUAfBs4DdwCvImg8vdV4F0Ew2A27ep/PbiZYwDzj/m/nx3ltfEyMVNjruYSdTwOj5YoNVzSzcCuoSm8cW+Ws3M1zufqeF7gm2+dta4qCBF0iEQRHNyWRlMFpXrQP6fm+HhNF1DrUqfLFudz9UXObmkkUGkKf0FQP3AhV2+nMS7XV96aR9twgylf+bp7WSpkoeGhLrG/VlWrIGh5IGUo+NeS1TTTg8CdmIho+L4kGpNs747xse+5vZ2w8NDuDh4/NkM2rmO5PpqicMdAiu3ZGN93/zaefvrpBcNoroSmafT09FAoFOjo6CCZTJLL5Th//jylUol4PL4gfnCpsN+MCuC5phvofwL/U0r5hebrXxZC/A9gH3CU6xeT2lBu5iwgCG5Ax/N5briAoSnoSpDRU7M96rbXbsLWYldXjFREozOuUW54WJ7EnxdAdb3Aj54wVOKGwljRwvX9ywqNWr+WrdVZVy3hoIig0ZtzSVxgubR8/rf2xnn+fHHR9yz17be21VVBzAiqlhOmQt2+2CguZPWs5M5QCOI1miLY0Rnl9v4UnucxPZcnm4y0hT/AT7xhBwJ4djhPOqrzT9+4k+3Zlbtv5tMS5JFIhIGBAQYGBtoNEOfm5jhx4gT1ep10Ot2OH5imuSkVQOtsVOBeIcQTzd/jwBBbQOjP52YeCDP/xovoCplmh0y1uYq/Zyh1Wb/9uwaSvHlfJ3/27CipiI6mCupO0Afebibvm6qgM65zeraG7flYbuCHXUtan5Qnr923bmrBUPKIJqgvs+tZK/tEElQSZ0yoNKBq+VtrYMYmQVUFA+kI77yth/Fig6mShSJ8yrbkw3cvbHdu6io/85bd/Mxb1u74iwlyIQSJRIJEIsGOHTvwfZ9SqcTc3BwjIyN4nkej0WBubo7Ozk40be0nlc1nuUHg1v37r4HfJ8j7PwfcAfwP4IvN990g846ujY0aCn89g8C6qvDmvZ187eQsMV2hZHns6Tb52TfvWHSbH3v9IDXL5dhkhYSpMVaoU3dqSNdHFYJMVGNXVwzblTQcn4miteatAtZyX44nmSw1yDeW/z3PVzq+hOGCu7VWRpsMQ1W4pSfBR966h7Ll8tXjM0zlq0S6XN6wp3PZ+1nPyV6KopDJZMhkMuzZswfXdXn66afJ5XKcPXsWVVXJZrN0dnaSTqdXdR5XYqWFYOPA+4QQXUA3cGYrzQJuoarqTRsDmM/77+mnM2FwYqpCd8LkHQe6iBmL3zKKEPyzN+3ga8dnee58gUxMJ1HWiGqSjriO50kOj5YxVEE6opGNaUyUbIRcnU93vfEkjBavrZVBKPyvH4poZoR5QdfPjpjBUEeUz7w8TrnS4KW/eZVffsc+dnQuz82z2sXYSrfTNA1N09i/fz9CCCzLIpfLMTY2xmuvvUYkEuG+++5b1bkserzlvGleyudbCZrBfVVKOSuaNP/2BmByfrXwzcpWCQKriuBtt3bxtlu7lrWt40lenShzeLTERCmY+ao2s3vqrk/V8khGgsrbroTB9o4IUyULy5WbUgmE3LgYqkDKoMAQgsSC33/iHFFNQYuoNFyP33r8NL/zvXeiKFcW0tdiAayWluIwTbPdy0xKSa1WW1Vn4aVYbg+f1vveD+yZl/N/F0EAGODHgHeu2ZltYjayF9AmzKpdkhNTFU5PV5mtOhhq0CbC9SXTFYdyw0MRwXCUmuVxYa6O5XokTTUU/stAEPTg18TGN94SrPaY1+/etZslwpoqGMnVmCw1QIKpB1eSierkazYV6+oLuc1S0CWEIBq9PA31Wljp99pgocX+s8B7m79XuT6jSzecjaoE3gyFYFdjrmpzeLTEaxNl6o7HWLFBxXKpuz6eF6R4ChEESJ15I/okQa3ATHVLZRCvGklQiOZdB5eZZLXHvH7iwCcYBPPsuTy/+KkjnJ+r4UuJ2xxWXLVcorpK3Ly6E2SzKID1YKUh5gqwXQgRIcj/HwB8IUSWG6Qn0Fqg6/pNnQa6XC7k6vzJt0eaU7ggE9Wo2j6KEEHb52YOfMpUqTkeeMGDKZqvX0yuaSVPhlyJZqPTkBXgSTg5VeG/fe0s//RNO/j0S2NYlk/akPzzt+25LKV5MTabArgeE8Fa0u73gf8KHAbKwCeAbcAs8J+AT67ZmW1iNjIIvNEsV+lIKfn0y+MI3yWjg+u5nBwvouMSU32qzsW0yIzh05iXKtBqgzDvqGt8FTcvm3c5sPloFSXZrs9c1eaF4Tz/5l27OX1+lDfee8eyWztvNgWwlqw0C2ga+KAQYjtQkVLmmn/6tTU/s03MRtYBbDRSSlzXpVwut+caX/qv7/sIITg/7hLVNSxDA0XhfNGjbIFEwTQEg5kI0yWLvO1jXaFXe0jIetC64xQl8PmPFhq4ns/OjL7ivv6rOv7NpgBaSCkXTAATQijBy5vYX7GGbFQvoLVESonjOAuE+WKC3fM8pJT4vo9pmpimSSKRwDAMTNPEMIz2mLupyBRPnc2TTJmcm61RdSR9KZOy5WG7PoW6y8++ZSd/8OR5FOEv6MYZErIRCKAzbnJrb4Jiww06ua5QKIcWwFXYKgVgLTaTBdAS7EsJdcuy2iv21oD6lmCPx+Pt9rWmaaIoCvl8npmZGW655ZarHvsdB7pxfcnh0RK256MrIhiG0szB9iV89cQcdccLhX/IhmEo8LqdwdCW2apFKmKQqzncuz1NX1JnshIqgBbrW2d8k7IRQeCWK8bzPObm5hYV8C3BrmlaW6gbhkEsFqOjowPDMDAMY0V5wyu5YQ1N4b139/Heu/v49tkcv/h3xzBU0BSFhutjOR6piAKIdt//kJuTzdQETAJ7exL80qN7efzELMOzVQY7Yrzzth6q5aC300iuxv/61nkmSg1u6Unwk2/cQUfMWHx/1yDIQwVwE3ItQeCWYF/KFdMS7BAoGtu2yefzmKZJLBYjk8m0Bf1aFoS0WG3mUTqqc1tfkgv5Orbrsy0doeF6dMRM4obSLsgJuTHR5vU5WozNIvwB4obKiakyY0WLd9/eu+BvFSmpu5Lf+8dT2K5HKqJxZLzEf/nqGf79d+5fVGCHFkDIAharA7iaYLdtu73Npa6YaDS6pGB//vnn2bt374Ze32qQBMG22/uT9KcNZio2pqIwUajj+nJTCYiQ1XGpKLt0utlm+Y7rjseZyQKvvnacyL4BOjs70fWLQd/patDVtjsZrPh7kgbn52oU6+6aBodvhJDollEAX/rSl/jIRz6C53n85E/+JP/yX/7LFW0vpeRrX/sa4+PjjI6OUqlUeO9738v3fd/3tQX0UoK99dp6rNjXmtVYAN8+m+PvXp5CVwQnpypMljTesjfLB+8f4L89cZ7EbI2a7WHN66q5+R+NkPlcrSHqZvk+BcEAHktq3HPLDsqlHMPDwwgh6O7uRtd1TFXgyWDAjyKCanUhBFF98brY0AK4wfE8j5/7uZ/jK1/5CoODgzzwwAO85z3v4bbbblv2PoQQPP7443R3d7Njxw4Mw+A//If/wO7du1c19m0zsxIFYLs+n3l1mu6kwbZMhL09cSYKDd53sI90LOj387KhBimhZZuK7QWrxU3aBO5mZDOtztcThaDvlE/QCrohTDJ929m5ew++6zA7O8vo6Ch+ucy+RIIjsza6rqEIwQdfN4SpL75ACxXADc5zzz3H3r172b17NwA/8AM/wD/8wz+sSAEAfPSjHwXA933+03/6T9xxxx1rfq7Xm5XesJbrU7c9TE1BGsE8XVVVqDensTxySxdfem2GUt0mE9PxpaTu+BiawNQUHNen5rYGrG8dYbWRbJXPU1cDS0XIoOXID/7xC+zqitGdMIPOn9u2YRgGuVyOe+7t5qljY4zOFuiNa9waq1GpVIjH42s2oeumqQS+0RkbG2NoaKj9/8HBQZ599tlV72+zt2i4FlZ6bc+dL3Bqporl+Ji6wp6uKF0Jk97mtKUd2Sj/5rF9/NevnaNsefQlDY5OlLE8iWf7uK0CsUuEf6gIQlaK25wvETPUoNpcSqSU1B2Pf/e543zHnb34Vo1bUtCZzfKeh7MANBoNZmdnOXXqFLVajUwmQ3d3N9lstj2QZaMUwEbLlS2hABb7UDe7aXYjMFWy+LvDk9w5kORCvkGuajOca/DLj+4lZlw0pw/0Jfmd772d87k6f3togucvlIKgsbgYHI7qAh+oO61W1EFL31o4RzHkEhZbHBiqIBnRcJpTeaQEoQRdB30JR8ZLWK6L63pkDMl/3uOSiATiLxKJMDg4yODgIL7vUygUmJmZ4fTp0+i6TjKZxHGcFQv01SqAjZRNW0IBDA4OMjIy0v7/6OgoAwMD1/GMNi8rsQAKdQdFQNzUONAXDMyeLFkkI5ffVhFdZapkcWikiNqMtc3vDtEaDA8Xs008f/VDwENuTnZmoxTrDqWGuyCOpCvBfWO5PqoiguHvukpXwuToRAlDFWzLRLEsi7F8nRcuFHjklsvnXCiKQjabJZsNrIN6vc7IyAilUomnn36ajo6OtnVwtaSO9VAAa60ctoQCeOCBBzh16hTnzp1j27Zt/NVf/RV/8Rd/cb1P64anO2EgENQdj6iuUqg5ZKLaogoA4PRMlYiuYmgqjuuhKaK9YvM8iRQXV3euDx5B6+iIInB8GQaOQ0iYKjFDpVCvILh4vzQcSWdCxZeSqu1z50ASy/Wp2i6uL9nX3fTty0CIWs7y6lKi0Sg9PT04jsOBAwfalfKnTp3CMAy6u7vp7u5eNBFkPRTAWruItoQC0DSN3/u93+Od73wnnufx4z/+49x+++3XtM+b1YW0EgsgGzf48TcM8olnRinVXVIRjZ9+0w6UJT6b/nQERcD2jggj+Qa265MwVQajHmVM0lGd4bkani9xPImiCFxPoqoCRRHtwHLI9WEzxGWOTVXQleA8NEWgCIkng+l1jicxNZWeVISfetMu9vclyNccnh8u8KXXpqjbHqWGi6bA7QOpZR+zJZQVRaGzs5POzmCecK1WY3Z2lmPHjmFZ1gLroNUvK3QBbRIee+wxHnvssTXd542Q5rXeHBxM87H3JqlaLqmojnaF/upvvbWLl8dKnJyqsKszSsLU+Odv3UVu+BiHrB4832ei2KDYcNFUgaEKqs0cbU0NFEDoErp+XG/hD4CEuKHh+C6qAv0xhZwd3HO7uuN0x5tFiLpCbypCbyrCvp4EyYjG02fniCk679idZrBj+ZO1lnrOY7EY27dvZ/v27XieRy6XY2ZmhhMnThCJRLBtm3q9vqIpXqECuAG4mYX+ajKcTE3B1Bbvo3Lp+37p7Xs4P1fDk0GGkKkpPD8q+O5be/jUoUmimkpBurhe0woQENUEj+zr4PETOVxPUrZDFbBVCeb8+uiqwPMkOQtsP3j98EiRbWmT1+3McnAw3d5GVQTvPdjPew/2Mz4+jmVZKzzm1Z8HVVXb7iCAarXKc889x9GjR7Ftm2w2S3d3Nx0dHW3rYKljhQrgBmAj07U2+qZYz2vTFMGe7vhlr2/Pxvi/HtmJ6/v8zUsTKFLiNB/sQsPly8dzOJ4M3UBbHB+ouz4CiGhB8DdqatRtH9f3mSpb/NSbdhBZoqgLVreAW+k28Xgc0zS5//772w0dp6amOH78OLFYjK6uLrq7u4lEIgu2CxVAyHXlelo3uqrQGTe4dyjNkfEy0pN4vsRUBVFdpW7bm8MNEbIpMHUNKT0ajk/UUEEqVCyPvz88yc+8Zdei26xmcXOtQllVVXp6eujp6UFKSbVaZXZ2lldffRXHcejs7KS7u5tMJhMqgBuFjfqSWi6ZjT7e9aI3aZKJ6uzqjDJZalC1fHRVwfUl4VCxkBYxQ6U/aTCSryNUie9LbF+SjRtMlhpLbne9c/OFECQSCRKJBDt37sR1Xebm5piYmOC1115rxw4sy8I0zTU55pUIFcAm53oL5I3mrbd2cW6uRtlyGS1Y6KrSnCVwsVS4lf4XOoNuTNYikJ+IaCRMlXv6dI7lg+ekN2EQMxRubdakLMVmyszRNI3e3l56e3uRUrZTTF9++WU8z6Orq4uuri4ymUz7HMJWEFuMjVQA11vhxAyVn37TDiZLFsNzdf7x2DQThQbFhkfD9RHNQh/Hk2gCTFXB8XyuFBfeDOmLIQGGJnCv1lq0yVLfmwA0IemI6fzALSYn7Q6+enwGBNw7lOH9B5cu8tzMiykhBLFYjEQiwd13343ruszOzjI2NsbRo0dJJpP09/czODi4ZscMFcA1sBGumZs542gpdFVhW9qkOyq4o6uPqUIN27J4/FSevz5awZUSVUBEhW1JyXDxyvvLRBQqjsT1wrkE1xt7mcK/hQBUcbEdtS4gZqqkogaZqEbKFHz4/h18733b8H1JMqJdtZBqM1kAVzqWpmn09fXR19eHlJJyuYzjOGt6vFABrBJVVfE874opXWvBRq/IN+J4nue1B+a0fk6ePLlgIpoQoj1XIWKapFMRfvShHdyz2+bjz01SbASFZ5oiMOtV6vXLKztNTaArgoihYvkerheK/xsJSSD8JcFEMgkMZmPUHY/OuMFIoUHDDbJoEubyRdmNogDmI4QglUq1pwWuFaECWCUtBTB/0tB6cD1cMqs9npQSz/NoNBqXCfjWVDQpJYqiBII9EmkPo+/p6WkL/KWUqutLJs6Oc3Aozbm5GqdnqlQaHqoCSUOl1izvF0B3QkdRlSCGICVl4aM0xxqG3Dj4MujxHzEUbNcHZHO2dDDMRVdXtgC7HllAm/VYECqAVaNp2qrnAq+EjXYBLXU8KSWO47SF+aVCvmWazh9QH4lESCQSdHZ2tsddLrb/qakpMpnMVc8tX7WZKFl0xg1eGimiAAgQikLMhJ6UgetJsnGdUt2lZnvUXRcQbO+IMFWyyNXc0A10A9H6rnwJyYhOruYQM1R8KXjvHV0YWn1l+7uBXEAbQagAVknLAtgI1tsC8H2/nXpWr9dpNBqcPn26LeQ9z0MIEYzTawp30zRJp9PtVbymXdn3uqzzkJJT01VqtkdvymQgvbBIprV/3/cp1ByqVuDW0RQo2z51x2ew2W9oumJTsz0UAb1JAyR0RDSqlovjBwJFU4LCtPoK/dIhG4umCH7odYPctS3NRMmiN2mwsytBj+EwMbH+CmAjCRXADYKqqhtmAVyLAljM3z7/51J/u67rCCHIZrPt11pDMdYTX0r+9tAEh0ZKKEqQ//GBewY4OHixaVdnXOeWnjjPny+giKDfuymCzqECuLM/wYGBJJ8+PIWhCjRTodDwGS/aVG2XiuVzqQs1qqv4LJxXHHL9WCzzp8uUPJyts6szzVtv3dZuw5zP5zekqje0AEIuYyNdQIspgJa/fTF3zJX87ZFIhHQ6vaS/3fd9crlcux/6RjGab3B4tMS2jNls1+vzD69Mcte2ZLu7qBCCd9/eg66KoPpTF0gJEyWL2YrD3UMZSnW3OWVM4krRFiilht9uJ600X3N8ghnFIvh8DSVQJmF9wfVBEAwCcv2L/1cU+I57d7B/TzdTU1OcOXOGSCRCT0/PquJvYQxgIaECWCXr6QK61N8+OTmJ7/tX9Lebprksf/tmpeH6KEK0z9nQBE7Nx/UkhnbxOjRF8MY9WcYLDTRVIaqrGFoFIeoIwNQVXM/Hl0EWkKaC7S0cPqOIoMdQ4AICxxckdInrC/wwQnBdEAQKuPVEmaogZii4PsyWbTKZTDtOVK1WmZ6eZnh4GMdx2gohHr+8x9SlhDGAhYQKYJWs1gKY72+f/zPf3w5gGAamabaP0Vq1RyKRNfG3L8X1KgTrS5mYmkKh7pAwNabLFnu64hjaQgulYrlULI93HOjmpZEiVdvj7fu7KDUcvn2uAMC921O8cKGE7QUuH11pThdTwG/6/w1NMJiO4COJaCrDczWsMEXouiEBa57pZXsS3/LZ1RWj0FiY+x6Px9m1axepVIqpqSl0Xef48eNYlkVXVxc9PT2k0+kln5GNUADXkkl3pUQMCCuBNwWapl1mAazU3976aXUOXMzffvTo0WWvbm5kUhGNDz80xN+/PEmu6nB7f5L33Nm74D2vjJX4/JFpAAxV4fvu62doXl/3N+7pZCRf59hkBU1RGCs0UBXBqekqQgTWg4fE86E/aWJoChXLRTNkO44QqoDNgaEGcaGOqEZnfPFW41JKVFVtz/NtVc5euHCBUqlER0cHPT09dHZ2tl2dqxXmK633We1KPrQANoB/8S/+BZ/97GcxDIM9e/bw8Y9/fFlpiOfPn+fEiROMjY1x/vx5fu3Xfo29e/fynve8Z4G/fb7P/Ur+9uVwPQrBrhfbMhF+/i07F/1bse7wuSPTdMb0tuD+1KEJ/u9HdqE2h9CUGi5/f3gSVREMZSJICZ7vM2aoKAKSEY2Zsk1HRHDHQJJ8zcFyvSA4LGXo+99EBBn/wSjQH3to+6LvuVRYzq+c9X2ffD7P9PQ0J0+eJB6P09PTsyqrfSPjBqEC2AAeffRRPvrRj6JpGr/yK7/CRz/6UT72sY9ddbuvfe1rHD9+nMHBQZLJJO9973t54xvfyMDAwLp+aTdKIdh6UmoED27LJZQwNcaLDeqO164CfXWshBDQlQhWjBXb4/nhIn0pg7rjU7V94oZCb0Jhf2+cv395CsuV7OyMYrseY6W1LbMPWT6XWl+KUOhNm/z/v+s29vZcubnbYswf3yilpFKpMDU1xcTEBHNzc9TrdXp6epY9rWuj4gbhUPgN4B3veEf799e//vV86lOfWtZ2H/7wh9u/f/vb3+aOO+5g27Zta35+87mRArnrSSqioQANxyOiq5TqDklTIzpv8IeiiAVCZKZiEzVUFAX60wYNx6PWcEkakmeGC8xUbDrjOoWaQzyiwjIVgN7MVInqQSM632+tWENWiqEE1dmXhl8iuuC77uxjtFBnZ1ds0Yrf5QpZIQTJZJJkMonv+yQSCRzH4ciRI7iuS3d3N729vSQSiUX3t5GB4422ANa3kc0NwJ/8yZ/w7ne/e8XbXe800K1GOqrz3oN9lBouEyULKQTfe29/2/0DcOdAEiFgumwxUWqQrzpkYhqZqE65Ebh6hjoM/um9KRIRndsHEkQNFUNTmSo5LOexUwmCyLoaZC45fpC50mpRHbIyUhGNO7cl0ZRmJpAKg2kTRSi8Mlbk49++wH9/4hz+EsMgViOYDcNgx44dPPDAA9x///3EYjHOnDnD008/zbFjx5ibm1vQc+dmVgA3rQXw9re/ncnJycte//Vf/3W++7u/u/27pml86EMfWvH+N6oSOFQAF9nfm2DnP9lF1fZIRbTLVoU9SZMffXCIZ4fzPHkqR1/KZLRo4Xo+OzujpCMaH7g9hWqViRuwoyPFSKFBoebg+It3CtWVoF6ghU+QQup7FztVejKsHVgNioBSw8PUVDpjBnNVGxBMlCy2ZSJ0J02klBwaKTJebFw2yH0tfPO6rjMwMMDAwAC+7zM3N8fk5CTHjh0jlUrR29vbroTfCEIFsEY8/vjjV/z7n/7pn/K5z32Or371q6v6wG9mBbCZ3U4RXb3ivNe+lMmerjhHxysMdkTY1+NydraGoSr89Jt2Yng1ZmcrvHFPhm+cytER09EUQUxXqS0yVEDKwExWlGC4uOtJaAn85sc0f8CJKgILYak+9u0fReAtoXS2Cr4ER0oOjxQvpuA2/x3JNxjKWvSmTBRBs7hvIWu9MlcUpT3YXUpJsVhkenqasbGxdkp2d3f3siZ1rSZz6Grntx7ctArgSnzpS1/iYx/7GE888QSxWGxV+1gsDTRkc+B6Pq1nL25q7OuJM1Ox+PzRaUqVKoNRl/e+oZOOmMG5uRoJUyVfc3jqbB45T3ibmuDOgRTHJ8tUbb8thNRmIZkAEoZCw5W4vkRXFWKGSt3x2sPrDSXoZe9LiBsC14OGJwnnWwZIWLRNtwSeG85zS0+CA33Jy/pCXQvLjRu0is8URUHXdRzH4fDhwwDtGb9LpWevRx3AerAlFcDP//zPY1kWjz76KBAEgv/wD/9wRftQVXXNhzMsxo3UDnqzMJSNoiqCfM3B1BQu5OrUXY+ehImhCl4Yb7DjQonb+hNcyNc5OVWlM26QimhUrKB7qKbCw7s66IrrHBotLshSmd+hsuEGlcr98Qi5qo3rBxPLWlZBy32kNnsWIdZmJOLNxFLLKNeTjBXq3NqX4B9enkAA9+7IsLsrELobVaAlpSQajdLT08OuXbuwLIuZmRlOnDhBo9Ggs7OT3t7eBcVnYQxgE3P69Olr3sdGWQBhDGDldMYNPvTANp44laPheOzriZGrOsRNjZqvkDEVjk2VOT5VYbJkkY3ruL7Gm/Z2kKu6lBouOzujVBouXzw2i6kIUgmd6bLdXrjHDRXH88nEdf7pG4b4+sk5+tImp6er1B0PXRPYnmxbCkGPG9nuRxRyZQSgqYJtmQhPnpzluXN5+jMRPvPqJL/8jn3cMZBatbC8VreRaZoLis/m5uYYGRnhyJEjZDIZent7iUajq1YA6z1kaj5bUgGsBRvpAgoVwMoZSEf4wfuD2bCHR4p85fhs+2+2L1GFYLTQoL/pWuhKmDg+/PxbdhHVVX7r8TNoahAbKHqShu2RMFVKDQ9NEQgRxAR6Egb3b8+wLRPlyVNz7O2KUq7bfOlYrm0qSMDxIK5BfV7iWFh5vDSSoHLbUBV8GXzWfakIxbrDp14c446B1FX3seh+19hqmD/U3fd9CoUC09PTzMzM4Lou4+PjdHd3L7txXZgGeoOwke2gQ66NW/sS9CRNRgsNJssOni95895OhBA4XrAe96UMUgRVhblqsNJPR4Kq43REw/IkmiJQm+mKrueTMQW1Wp3PPnMUZ+o0b8/mebSrjF2rYHsy6GbZ/PqEgP6OGD3Ji4JAUcDUFBQCi0INv2qglQ4qiOkKpYaLJyVxIwj866pox1c2skfPco6jKArZbJb9+/dz8OBBkskk9XqdF198keeff57z589Tr195fkHoArpBuJldQDeb0onqKj9w/wDnZmsUSiV0S2EoG+Wtt3Ty5eOzwahIX3LPtgSG38CpVqhWq6i6T7fhcr7uElVgTxLeemeMJ0c9yo5ktubTk4ow6Zq4tQj/7I07SEY0xvVJvnT2JACtr05KuLUnTiqq8/xwntOzdXwfbN8nHdX4jffcyr/9/ElmKtcaV5LcyBUJCpCO6WzLRJgp25QaDhFNJRPTqdkuhZrDd93Zv+r9b2ROf6vVzJ49e2g0GkxPTy8oPuvp6SGZTC7Yd1gJfINwM6eB3owuJxWfoaQgZrvMVeucPXuWWKPBfYk6uapDzIR+t8LYWIRIJMLb9qZ4YrhGbzZKV4fgvQf7uW97mqiu8n7H49e/eAplrsbJOYvqeA1dFQx1RPn++wY40JdkW9pkomRBs+20EIE1ULVc5moOpiaCrqSqIBvTqVsug5kIlYZ7jRPKblzhbwpQNIX9fQl2ZGPMlC2SEZ0Pvm6Qvz80TsP1+a47+3nnbT3A6gXzRnUDnb9NJBJh+/btbN++HcdxmJ2d5ezZs1SrVbLZLD09PXR0dIQWwI2Crusb4gKCm1MgryWtFtuNRqPdVnv+kJxW18hIJPD3SylJpVJ0d3ezb9/i7bV37YKHb7MpW247Q6hFVFeZqdiMFhrUHR9dFViuz/966gIP7cowmDF55JYsr4wUKdXqKJqJ6/l8+1wBT/qUGh4dUQ0BWK5PuW5zemScarXKrRnJsTxYWyzDOKorDMYlkVgcTQgmSxYC+OEHB7ljW5q7B9OXbbORWUBrqTR0Xae/v5/+/v72AKZW8ZkQgq6uLrq6ujZkEl+oAFbJRloAW4GlHhgpJa7rXibcL51XfOnUs0wm0x6MMz+rolgsMjk5SVdX11XPqSthtBvLtfB9H9lsU1yxPHRFtIOUCnB8skx3NMUPH8zy1ajkyIjNi5MNclaQBtoSP4W6S9pUUARYnsTTY5Q9i5GKi+XdPHlCgsCts9STIoBEROXX3nUL6fIwDzxwL8+cy2E5PndsS7Gra2GefcPxuJCrY2gKQsoV2zubbSCMoihtgS+l5MiRI9TrdZ577jlM02zXGyyn+Gw1hApgldwoM4E3O57ntVdB84fjNBqNdp2FrusLhHtrXnEkEmnPh10LWv1fZDMg3Pp9PrmqzfnZCn0JEbhxfImKRBUSy7b5y6dP8bkXFA72R3nLnjQNt4OnJ3L4/kIR6PrQ8AQ+sLc7ytPnq+zqivHCcGHNrmd5rG/MYKgjwki+ASzMejJVgaEp6JpCT8LkkVu6Of7yeVJRnXfc1rvovmbKFr/+xRPMVR2klOzLKPzofVdX5PPZKAWwmnTO1kKmo6OD7u5uarUaU1NTvPzyy0gp6erqYnBwcE2VQagAVkkYBL46UspFXTOt31sPiWVZ5HI5IpEIiUSCrq6uBQPq1+pcpJTtFbzruu0BPfNxXbc9U/nSiW3jZZfPn3NBKLgobEuqjJeDVnCmrqAKQaYjRURXeXbWZmgoRTRh48lcW/q1hKAAHM8jZagUqg6uBFVRLuuKudZcnnq69sJfFcEx0nrwr9Jsj6E1S6gdH3xf0hcTdCUjOCKooL4af/rMBXJVh56kgZSSlydKHBqvsXPHys5vI6zqtagEjsVi7Nq1i127dmHbNtPT0wua1K0FoQJYJVs9CNwSopcK9dbvLdeMYRgLVu+pVOqyATkvvPACe/bsuaYCmKut3ue/VigUePHFF4nH46iqim3b2LaNlBJN04hGo0QikbZCav3+xNeHGexzSUV1pJSMFRv86MOd2J7k1bEiZ6arZGJ6c7axwbfO5PjAPQPETZWG47WLyHQFYoZK3FCxXY+5ikXdA8te/8ry9byTWspFUQSGJhD49CVNpkoWfjON1vNAEZJ4RCMWjVCoW/yTAcnxo6/iOA6e5y1p1Y3lGyQiwd+EECgKzFRXZoVvhhjAarYzDINt27ateZFYqABWyUa1g4brEwT2fX/RVXuj0cC2bSD4DBbzu7fmFq/lucBCIb7S1XtrH5FIpD0isFarUSgUSKfT7Ny5k46Ojis+tIWaQyYW5PELIRAIkhGNz786zZmZCpNlm7LtcfdgGseTJAyNg0Np/tkbt/OHT54nV3dQhCBhBA3tHE+SjBokIpKJokXJ8q/oL18rWle41neV3lzpm0ISVSRxU0fXFO7dnua1iQo1Oyii254y+Rfv2IemqgxmIuzpjlMqlXjxxRd55plniMfj9PX10d3dvUAZ3NKb4Fun54ikguIw34fBzMrcIRvpAgpbQdzEaJp21aKOtWA9boaWa2Yx4W5ZFrVajZdeemlBYDUej9PZ2dkOrK71eXme1169L6bwpJSLCvfWa3BRIS22el9KIUkpyefzTExMcOLECbq7u+nv71+0yddt/UkOjRQZSJs0nKDh3AvnC8xWLXZ2xanaHlMli6MTJXoSEX78oSE8z+M79ndwIKvy6liRqWKd/hi8NFblm6Muqg9CUUgZYGga7z7QwUujFQ6N19dttT7f6683u5w2lp16unTMwJaB+yebjPDGPVnecVs3AsHe7hiGpvDMuTwSwet2dpCJLbyH0uk0kUiEhx56iHK5zOTkJGfOnFmgDH74wSFmKhYnpyoAvHVPkrv7V97MMVQAFwkVwCrZzANhWlkziwl413URQlwWWE0mk+3fX3jhBe6///41Of/lrN5N0+TYsWN0dHRgGMYCIT/fnXSpcO/q6mpfw2ofGiEE2WyWbDaL53lMT09z4sQJPM+jr6+P3t5eDCPIBHrfwX4cT3J0okTMUPmh1w3y18+PYgiJ61jsymhcyLtkVZt39XlULrzGS2NB+mk0EuHNOxNEo91EIhFip4t85cIpqnWJrkJ/Osr2bJSfe/sBnh8u8AufOoKuCOqOh900CXQFvGYm0bUqh9b2jg+dMYXpirfMHkVX/pxbX8NoweL/a+/Mw6Msz8V9z5pMZjKTPZklEJKwtgoKCO7UvW5UpUWr1VOFQm1PbXvqOe3ppr1O5Sh2cau29mrdWqD6q4p4pEVcqAgCIq6gRhKSycxkX2Yms8/3+yN+n18mM9k34L2vK1cmMMv7fjPzPM/7rCW52VQU9gpoSZI4Z3ax8jmQ31OtVtvnvdNoNFitVqxWKzNnzuynDFafXIrePA2T0UiLt2HC0kBH8hihAI5hJjIIrA78JJPJftkyateMOuddPZhevp0u5300pPreR2K9yx96t9tNPB7HZrNRWlqK0+kcc3fSQOh0OiU/OxKJ4PV62b9/P1qtFqvVil6vZ7E1wucMIeKxGD0NnViTEgcDCUrMenRaPbacLK45tZwvzCnL6K890t7Do280UlVkxtsdJhRNEIkn+PFFM8nS63jf240kgUGvQ6PREA/HQeqdntXxaVVykUVHTNLhjyQIjKJoQAP4oxIGLUQG0ABD6VvU28JBSzwp0RONo00R7PJv+TOSTCYVYyDdZzKTMmitrcVkMilzf4fDVC4eG+xx4+EKFgpghIxHEFiSJGKxWB/h3tbWRjQaxefzKV8W2VLPzs7GZDKRn59Pdnb2mLlm5OcYie9dVkjy7XRrHsh6TyQSyvBur9eLw+GgpKRkTNM9ZWKxmHKdw+EwoVBIuZ1MJtFqtZhMJnQ6HYFAgFAohNVqZUZFBQUFBWi1Wk6KJ3jw1Tr2N3RBApYvKOOcufYB34fDLT29WTImPVaTBUmSaO+J48jrLVQrtWaRY9QRjSeJxBJIn2bQROK9vYoSkoROqyVfHyMUljBoemcODEc8yAJdp4FILDmo9a/R9I5rjAxw6JWAUCxJrDtCea6esty+DdDk6y1f51AoRCgUUjLCcnJylBPqYCeDQCDAwYMH+eSTT2hpaVHcRIMZC0d7DEC0gpgijOQEkEgkMrpmUnPeZeEoD6quqKgYcyGYar2rTxper5eCggIAJUtmqL53q9Wq3B7umnU6nTKir6enB6/Xy549e7DZbDgcjj491wdCPnWkCnb5mqvXLWf9FBYWDrhuSZJob2/H6/VSU1OjxAtuOaeSnlgCnUYz4LQymbwcA5L02Zc9FEuSZ9Kj/dQ6Pm26lc1F2RxpDxOP96ZRapHQSAk0ElgMYNRIHOmGzt63AC1DtND1vVPNklLv8yb4rF9RJnQaKLUa6YkmMeokIvEEiWT/Qe7Q2/bCZNDQFgixceu/qLDp0Gq16PV69Ho9nrCeXY0x0Ok5d1YBp8+epmSEZToZpFMGubm5FBYWkpOTg8ViwefzUfvpyWAwZXA0K4CxRiiAEZIaA5DbEWQKrMquGbUlnJubS3FxseLmSPfG+3w+otHosAVpOus99QgpSRKJRKKf9W40Gvnkk0/48MMP0ev1WCwWzGZzvzWPRzBYTU5ODlVVVVRWVtLe3k5DQwOHDh2irKyMkpISJElKK+Dl9yUrK0sR7uqT0khjBhqNhsLCQgoLC4nH4zQ3N3Pw4EEkSVLiBb1j4zOTTCaZXWhgkTOHXXVdn0pfiSvnGdm9ezfQm/K3Zn42B9uz6Ipq2PaJn8auCAk0oIEcUxa+npgSG9Aw8IwBvVbDCY5cmgNROoJRdHoN0UQS6dO6hAS91r0GzWejGT9FqwFLth5/OEG2XkOWTkOuUU8ymcBq1OLxJ4gkel8/Rw/2XD3FFiPBuERnto05cwppb2+no6OD5qiBDYcimLON6BIaHnmzDZvVyuIKk3J95d9DVQZarZbc3Fxyc3Oprq4mEAgMqAwm0p8vFMAU5+677+bWW2+lpaVlSK0BOjo62LlzJ/X19fzzn//E6/Xy/PPPc9ddd6HVapX89lTfe2o7guGS7kObyXpXf3jUSkkW8Oq/YWDrXaPR0NLSQmNjI8FgEJvNRlFR0bi4Y1L3m+ouUKdy1tfXc/jwYXQ6HTabjYKCAiVukJ2dPeTe66NBr9crJ5VwOIzP52P//v1KpXJ2djaRSKTP+tXB7BUzs1jqLCaKnlllVqYVWfsVvi359PeXu8L84vkP2d/QRTSexNcdJp6UyNJp0SKh02pIShJ6bfoeQmaDRCAcpTsUY54jl5rmICaDls5worcFdVIiS68lmew9GchTzPQamG7VMM2SpD4gYcnSYcnSk5A0dEf15GTpMZs1fM5uJSFJ1Lb2UGDuDZiH/REKrBallYEkSTyw/UMScT+JnhBagxE9el481Mriivx+ax6KMkgtipJPBpmUgdyzfyIE7EhfRyiACaKhoYFt27Yxbdq0IT+mtbWVPXv2MG3aNBYsWIDdbue///u/ycvLG9O1pQr3WCzWb/ykXIiVzjUTiUT6+d5NJlMf4T5U610edhEKhWhsbGTPnj3k5+fjcrmwWCwj3l+qcJR/ZMUkF5CpT0smk6lPAVkgEMDr9dLY2Eh+fj5Op3Nchb98zdXrVt+WJImenh4CgQCxWAyLxUJxcTFlZWWYTKZ+Lok5Q3xdhy2b2y+bw1W/34teq8Gg0xKKxokmJLQakOgdLm/U69BokkQTklKNm5TgjKp8rp9j4I5Xm8mKB8k1SHj8iU97GPVa/zopSalZi6TRUZ6XxcVzC5hlz8Oeb+HVmk7+3wEvhWYD8SR0hWNcNLuAaxY7Qeqdu/xJS5BfvvAxvu4IEmAx6jhvbrGyB41Gg9ViJtsUotDSm+nV3dVDS7OXQ4d6M67SufdSjQH5JxwOEwgEyMvLI5FIZHQT5ebm9gkg+/1+3n77bex2OyUlJUNKMJhIoSwUwATxve99j7vuuovly5cP+TEzZ87kF7/4BQBbtmzh5ZdfHpHwT2e9p77psvUuSRJtbW00NzcrY+bSxQtG63sfDJPJRHV1NZWVlbS1tVFTU0MsFsPhcFBaWtrniySnoaYTlPJe1euWawxMJtOw2j9YLBZmzpxJVVUVbW1tHD58mEgkQllZGWVlZUr65lBRxw1S1y/HDdTX3GQyKe6w7OzsPqc8ub+Rx+PB6/VSWlqqKIJ0fNISpLatB2u2npPKbRh0fU+MyaSEJUuPJas3Mygc0+PpCuOwZdESiGLUaVlWnU97MMybDQEinw6kydVDqcZPT9DIhdVmXjgcwaLvPSYYtL3jMx35JoKRBD84r4rTqgr6re3cucU8/34zrx/uAHqrmE85Jx+z8bP3vKrYzO2XzWZPXQc6rYbTKgsoye1bpHXO7CL+VdNGsz+KViORnZPDqvMqydOGqK2tJRAIKMaJbCSor7nszrPZbJhMJsWIGcxNBCjKoK2tjZkzZ9Lc3MyePXvIzs5WXIoD1YqIGMAxxObNm3E6ncyfP3/Ez5EpCDyUhmJDtd5lweJ0OtFoNHR3d9PV1UVJSQkulyujMBlPZMuqoqICv99PU1MTH3/8MTpdb7BPp9P1cyvJLpHxUEzQ6wcuLi6muLhYyZh66623yM7OxuFwKJW/cnVzuriBrFQzZVgNN26g7vIYj8dpamrigw8+AFDiBbLAea2mjYd31vd+ZoD5LivfO6cKnfaz1yvM0eG0Galr6yFLpyEUT2A3a/hypYTFaMBp0ZKTk+ST7izagrHetB2NlnyzkRsumEtxbhZLgKW+AB83B/j9v+owaiV0UpxgoJuwpMdiSO8f7+zpnaK2wGVDr+vtfrphbyMnOPoOMynPN1Ge3/czKVvwoVAIQzTMqgVmdtZ2E45EmZMn0V1/kNCnAt7hcBCPxwkGg4RCISXILidCZGI4MQNJkrBYLFit1j5uooGUgVAARyHnnXcePp+v37//8pe/5I477uCf//znqJ4/EonQ3NxMNBrNaL2n5r5nyvYZjvWeTCZpamri/fffR6fT4XK5KCoqGrMPjZyplC49Uh1clddqt9uZMWOGMvEoHA4r1u5E+OLVyErVZDLhcDjo7u7mo48+IhwOo9PpMBqNSjDbZDIpAW3ZPTNeXzy9Xo/T6cTpdBIKhfD5fOzbt0+pcn3sjUas2ToMGolYPM7eT1r4hzmEMyepuJZ0Oh03zjPy/z4ycqQrwaySHP797OlUlNj6fF5OBKpmdLG7thOTQcv5c4spVlnic8oszCmzUJ5v4pdbPyYp6Ukkkpw33US0uZZ9zbWKgpLfv5ZAFJ2GPs/j6woTjifJ1msVAZ+a4qm24GXrfVqhhVnOIsWdl+maJxIJWltbqa2tpaenh+LiYkpLSzO6HYcaQFbfF3pPkdXV1f2UQVZWVp9kg2NVAWgmo8/MODLoZt59913OPfdccnJ6KxTdbjcOh4M9e/ZQVlY2pBcJBoM88cQTrFu3jqysLGbPnk12djY333xzWheH+mcsM2cCgQBut5uOjg7KyspwOp0Duj3U/tRMPmytVttnverGaEMRktFoVMnht1gsOJ1O8vLyRr3nTIFhdR65ugBOve6srCzFHROPx7Hb7X0E3HijtoLV6/f7/XQHAtzztkR+Vm/jPINBT2cEVi21s7SqqJ9raSxpCUSobw+RZzJQVdzb+kIOaDc3N2M0GnvjPxoTv/zHJ1izNGilJJ2hKFopyY3zehWP0Wjsk20l3x5NhbaaeDxOa2srPp+PSCSiKIN07TrUyC1P1LGDhoYGzjrrLHQ63YBrk5VBc3MzPT09zJ49e1hGTX19PRqNhvLy8mHtde/evcyfPz/t9ziZTKLX60fyuc240eNOAaRSUVHBvn37hpQFJPPKK6/w2GOPUV5ejl6vVwpSvvSlL/G1r31NyZ+fKOLxOD6fj8bGRoxGI4WFhej1+j6BVjm4murDVgv7sRQ0kiTR1dWF2+0mEAhQVlaGw+HIqKDS5e0PZe2pgeHBkCt8fT4fZrMZh8NBQUHBqASVWtCkrl+9dvWa1Wv/zfZP2FPbhkkToyeawGjM4s4rPoejMHfEaxrO2lOVk/q23KHzgy4du5p7T1GWbAPfPruCWfbRK/bhEovFaGlpoampiWg0SlFREVarlWQymfb0IScTyNc8JyeH3Nze6zpQzEDNzp07KS0tpaWlBaPRqJwMBhLER44cUU7ow2HPnj2cdNJJaZ9bKIDBmRAFkI7Ozk4eeeQRHn30URYsWMCaNWs44YQTxvQLop6MlerDVvdWiUajJBIJCgsLKSsrw2KxjHvO/kDEYjE8Hg8ejwe9Xo/VakWn0w2Yt6/+0o7H2mUF5fF46Orqori4GIfDoZwMU++rVqapAhL6W8Hy76GsPRiN8+iuBt71+Mkz6bis2oQx3I5Wq1WyVUYaO1EL+FQhn6qcUtcvW/CSJPW60+oa8bZ2ML20gOku+5CL8kZDagaQ+vrLCRTyZz8vL4+SkhJsNtugp4/U+JxaEaQ+bteuXSxZsgStVkswGOxzQsqkDOrq6jAYDDidzmHt94033mDhwoVpA9LJZBKDwTCS1ihCAUwUiUSCbdu2cd999xEIBFi9ejWXXXbZoFpbtiIzZaCoXRyplnu6fjmy0PV6vVitVlwuF1arddz2PVB6pNxWQbbUZQutqKiI8vLyEaeTjhXqa5VIJJQ5AZFIJGNRmfx7LIfWpCJXQre0tGCxWLDb7f1OK+rPTSYBn2oFy8J+JIo1mUwq3VP9fr+S5jrS91CdMaYW8rKAV1drq5WUXKciE41GaWpqoqmpCehNXx7qKMXUIslUZfD6669z6qmn9rtWqcpATpk2GAzU1taSlZWFw+EY1vXYvXs3ixcvTqvwhQIYnCmzGUmSqKmp4YEHHuDFF19k+fLlnH322bS3tzN79mz0en2/DJTUL6rahz1S94zcvsDtdhOJRHA6nZSVlQ3Loszkw5Z/oLeFQzrrPVNQO5FI4PP5lFOB0+mkqKhoXPzd6sB26h5SO43q9Xp6enro6urCZrPhcrnGJIYxUuTTR2trK01NTQQCAbKysvr0ohpLAT8c5ECt1+slEokowf/s7Ow+98kk4JPJZJ/PjVrIj+YzLyckNDU1odVqFWUwlLTg1Oy9WCzG/v37OeOMMwa8lmplYDAY0Ol0ioEzHNSnjVSEAhicKbWZtrY2LrnkEkKhEN3d3Uq3yW9961ssWbJE+bCPZwaKmnA4TGNjI83NzRQUFOByuTCbzUrOdTrrPZ0PO9VNMFqhHQgEaGxspL29neLiYpxO57BSXBOJRD/hoq47kAPb6dY/2JwAj8dDIBCgtLQUu93eR7iNBUOJH6gFfFZWFuFwmM7OTmKxmFLzMF5DwwdD9r0HAgFaWlro6OggkUig1+vR6XR9Tq2pbqbxCm6rCYVCNDU10dzcjF6vV1pDGAyGPoV9qT/qa282m5k5c2afU8FgyuCDDz4gFAqRk5OjuImGooAynTag91objcaRuAOFApgMZMEqC7NkMsmrr77Kfffdh9fr5aabbuLKK68cc6GSSqoFHAqF6Orqwu/3I0mS8iFPdXGMl/99oHU2Nzfj8XjQaDRKJ1C1FZkucynVNTbY6WO4yHn8Xq8XrVaLw+HoN60qE+kEfGpwe6TxA9nt4fP50Ov12O32Ia9rqKirtlP98HIFrlqpyoK9q6uLlpYWDAbDuKxrqKiNg66uLtrb2wkGg8BnbVBycnL6KKh01z7VTTSYMpDnF1itVnw+H01NTRgMhkGVweuvv85pp52W9v+EAhico2YzR44c4cEHH2TLli1ccsklrF69etj+Qhl1ameqe0ZtAadzz8RiMdxuN21tbSOyvkdLuvTOUChEMBgkEAgQj8cxGAxYrVZyc3P7rX8irEg1wWBQ8cvn5eUpp4KBspcypUmOpXJVr8tqtWK32wcdcQkoDfXSuWnk1sypAn6w01Pqunw+Hy0tLZjNZiWOMVbvm1zcl2rBqz/7qcLdZDIpzfxaWlqUpnFD7XM1FGVQU1NDbm7upw0Ce+np6RlUGQgFMDqOus2EQiE2bNjAH/7wB5xOJ2vWrOG0005TviDpgnypqW7qytvU+MFQPyyy9e12u9Hr9ZSXl1NYWDgm+fvpgpTp2iuky0KB3h5MjY2NJBIJpfXERFmTqbnkqcJGjt+YzWYKCgqwWCyKkBnPAPFA6+3s7MTr9dLV1aVUI2s0mn4CUl57uvhBdvbYNtWTM4l8Ph/t7e2K8hwsk0idgZX6o47fpAr4oX72JUkiEAjQ1NSkBNtLS0uHHI/KpAxqamqUrKR0yMpAdk3JAeR9+/YJBTAKjtrNvPfee2zatIlnnnmG9vZ2CgsLmTFjBrfcckva4PBglZSjwe/343a76ezsHLTAbLxTJNWoYxh5eXm4XC4lp3ukDKX+QF5/qpCUBXwsFsPn8+H1ejEajTgcjnELaKdbv1rBqgW8nMUkC0qbzUZxcbHSWG+iYk+pyJlEPp+Prq4uCgoKlJ5a6VxkcgZWqoAf60I+WUk1NTXR1taG1WqltLR00BOLnCDR09OjrL+jo4O5c+cqRtRA17mnp0fJYPL7/cyZM6fPKFIZoQAG56jdzDPPPMPhw4eZPn06JpOJHTt28Nxzz3HBBRfwjW98g2nTpk34lzUej+P1enG73RgMBmw2G1qtVhE2k5UiKTfIa2xsJBKJ4HA4KCsrS+uSyCTg1QpK3TF1tOv3+/14PB7a29spKCjA6XSOKs01U6FWaqAyXSaNev1yjySfz4fRaFT88hOhpNIFWtUxHPk+kiSRl5dHaWkpeXl5k1q7IteJyCcW2Z8v16+oaxH0en1aBaUW4EMNIL/22ms4nU6amprQ6XR95lILBTA4x9RmotEoTz31FA8++CA2m421a9eybNmyMf3SplZQql1MsuWozt+PxWJ9mtFN1hdUJhwO43a78fl8ZGVlKe0BUgX8ROfwJ5NJWltb8Xg8RKNR7HZ7xlYCmQR8ai+dsUrzlNtot7a2DnvSWqa9pgsSh0IhJUifLgsoNZc/FovR3NysjD9VC7/xZDA3k1arRavVKr2mrFarkk00VjEDGXUMIBQKKTEDnU5HaWkplZWVQgEMwDG1GRlJknjzzTe5//77eeedd7juuuu49tprh+T+kLMg0rk4UgPEqV/OdBZ1NBrF4/Hg8/kmpMAs1YJP52KSLXhJkggGg0p6pMvlGnfhMRR6enpwu92Kv1fO+pIL/GQLMl0u/Hgq2NRUV7n7Zmo1dOrktXQCMl0cYTSpnuFwWHGLqAOmI439qKuh052i0rmZZDeZGrX7qru7m4KCAsrKyrBarUN6r9IpA3WTukxBYNmtNG3aNKEABmBMNzPciWETQUtLCw8//DAbNmzgzDPPZOXKlcTjcbKysigqKup3PE3XIG04QbJMqAvMotEoTqdzRMHZdDGE1CDlcC34WCymNKTLycnB6XQOKSNmpKTWIahvqy1gWfD7/X56enooKSnB4XAM2tRsvJEFvMfjobm5mXg8rqxVnQmU7hQygqKkYZOaSVRWVqa0+JZRn2R7enr6/M7kphltsVwymaStrU3x3RcVFVFaWkpubu6IlEEikeDNN9/ktNNOE3UAI2TMNtPQ0MCqVas4dOgQb7755pRRAABr1qxh7969dHR0EA6HcTgcXHzxxVx33XVKu+OJTJHMVGAGIxPw6iDfaJu0dXd343a78fv9lJaW4nA4hl00la4OIVOqYeoeMr0HiUSClpYWPB4PyWRS6VA6XgI13VQttZtJnWhgMBgIBAJ0dHRgMpkmNKidCXVFdHNzM36/H71e38edkk7AT9T3IJFI0NbWhs/no6enh6Kion4tMtKlrMpKSq7ytdlsVFVV9TsZyI8XCmBgxmwzK1as4Kc//SnLly8fk2ZxY0lTU5PS8VOSJN577z0eeOABdu3axTXXXMPXvvY18vP7z1kdD9QCvqenRxkALleDGgyGPsfrVOtxomIIcsdUj8dDVlYWTqdTydBI/WKmtorI5OIYq0KzcDiM1+ulqakJi8WCw+EY9ollsFPISN1Mfr8fr9dLW1sb+fn52O32Ibs7hkumqly1ksrJyVH2EI1G6ezsJBAIKAJ3tFlho0EO2AeDQZqammhvbycajSqf89S+RnIBWqqSyuQmkiRppJX3QgEMh82bN7N9+3buueeeMesWOhF0dHTwpz/9iccff5xFixaxZs0a5s2bN2orWh0gUwvHVAteLWAkSVIyKIqLi3G5XONe8ZyJ1BnEnZ2dyulJr9crgiWdkprI6lU5h9/j8dDd3a24iEwmU9qKXPkntd3FeFjA8ohLr9dLMBikpKQEu92OyTT0osHBirZSg8VDVVKy9e31egmHw5SUlAw4fnM0pAa8UxWtOmAvu5iCwSAtLS1KAsVga5Ok3tnSdXV11NbWKj91dXXcc889zJ49e7jLFgoglaFMDLPZbEeVApBJJBK88MILPPDAA4TDYVavXs0ll1ySNgMlXSWoOsiarhJUvj0UC15dYGYwGHC5XGNSYJa6h3RKSk5VlTOZUtdvNBppa2vD4/Gg0+nGtSHdUPegroTu6OggEAgo7TrURWbqn4lusSBX0Xq9XiRJ6jNgPXUAS+r7kE5JjSZYnIo8L8Dr9Y4ok0iddqvO61fvYaSuJjnLqampidbWVl5++WVOOeUUgsEgdXV1isDv6enBZDIxY8YMZsyYQWVlpTKP2+VyiRPAAIx6M8OdGPbTn/6UZ599Fq1WS0lJCY888siIWzqMNZIk8cEHH7B+/Xp27NjBokWLsNlszJw5k6VLl/YTjqlujrF20agLzOx2+4ADYlL3kakad6BTiOzPHgrBYJDGxkba2tooKirC6XSmnQ0wUobaeCydcJHbVbe0tIxJ2uZoSN1DIBCgs7OTcDisxEKsVmu//joTPR4UerOs5F5JciaRXPuQ+h7Ivnj4LO12NHuQDStZsB8+fFi57fF4MBgM5Obm8vHHH6PX67nmmmv48pe/TGVl5ZCDyMNAKICRMtgJoLu7W0mDvPfee/nggw946KGHxnoZI2blypVEo1EcDgctLS34fD4qKipYtWoVCxcunDQh4vV68Xg8SpaO2WxOG2jNJBzHK5c/mUzS0tJCY2MjkiQpDemGYmWr/fCpPmzZPZDOAh5qJoqceeXxeAgGg5SVlWG328e0E6jsakq1fgdz0xiNRqW+QC6Cs9vt4yHMBkW24tV78Pv9dHd3E41G0Wq1WCwWbDabIuRzcnKG7V+Xaz0OHz5MbW0tR44cUQS93+8nOzubadOmUVlZSVVVFVVVVVRWVlJeXt5nJKWcUjpr1qzxuiRCAYyU4biA1q1bR319PQ8++OBYL2PMSCaTvPTSS9x///20trZy00038aUvfWlc2wmns35lId/T00M0GkWSJHJzcykoKOhjeU1mNWgoFKKxsZGWlhZFoOn1+gF92OkE/Fi0zE4lFospHUr1er3SoXSw10mdEKb+SXX5yQFX+fdQXU1yeqTX6yUUCinxgrGMAcmZWekUFWQ+Ten1eiWw3d7ejs1mw263p535IJ88jxw50scPX1dXh9vtJpFIUFRURFVVVT9XzWTOkEiDUADjyY9//GMee+wxbDYbL7/8MsXFxZOxjGFTW1vL7373O1544QUuv/xyVq1aldbNNRTUAj41ngD0s35T+xmlFpiVl5dPeEbHQBWhkUhEEZBWq5XCwsI+LbQno9WxTCAQwOPxKJk6cluMdIoK+lYWq4X8eGRlyX5vr9eLRqPpEy8YiFS3n1rQqzOzUt00qdXFg71GW1sb9fX1PPXUU3zyySc4HA5CoRBHjhyhs7MTo9GoWPFqS37atGmT1ktpBAgFMBoGChgvX75c+XvdunWEw2Fuv/32fve99dZbee655zAajVRVVfHnP/9ZaYA12fT09PDXv/6Vhx9+mGnTprF27dp+U4lS3RvpCs7SuWiGa/2OVYFZpudOZ/0Op/GYXDDV1NSEzWbD6XSOW1rkQPtIl00ju8zkHk1Wq5WioiIleDwc4TgehEIhvF4vzc3NStdNdSttWdCr0z5TUyZlK36oyO95Q0NDHyu+traWhoYG4vE4BQUFzJgxA0mSOHjwIF1dXWzatGnMZ3pPIkIBTARHjhzhkksu4b333uv3f//85z8555xz0Ov1/Nd//RcAd95550QvcUDq6+vZtGkTGzdupLm5GZfLRVZWFj/72c8yTnYaz0KbgQrMMjFYLnlqmp46wDecL7usqBobGwmHwwP2+hkug7lpgIzZNLKilJu/eb1esrOzcTgc/apnxxu1Fa+24Ht6eojFYsTjcZLJJGazmcLCQvLz8xVf/HDfi87Ozn4pk3V1dbS1tSntzVOt+OnTp6d1MXZ3dytzoY8RhAIYLz7++GNmzpwJwH333cerr77KU089NeBjnn76aZ566in+8pe/TMQSh8yGDRt45513mDFjBmazmb1797J9+3YuvPBCVq9ePez5pmOFOjCbTCYpLi4mJyenX/pqupPIUHPJR0M0GlVaT1gsFpxO56A+4EwB43RumtEoKugVaB6Ph46ODoqKisa0/UTqPmRBn1q8lc4XD58FUuUc/nQjLiVJIpFI0NDQ0Cc3vq6ujvr6eqLRKDabjRkzZiiB1qqqKqqrqydc6U1RhAIYL6666io+/PBDtFot06dP56GHHsLpdA74mMsuu4yVK1dy3XXXTdAqR04kEuFvf/sbDz30EEVFRaxdu5Yzzzxz3L5U6dwb6u6kkiSRTCaJxWLYbDalEddY5pKPZu2dnZ00Njbi9/spLi7GarUSj8eVNEO1DzuTohqvfciK1OPxEI/HlfYTA51aMsVFenp6+rXBUAv6kVjxHR0dfPTRR7z00ks899xzFBYWKictnU6Hy+XqF2ytqKiYdNfWUYBQABPBUGIFv/zlL9m3bx9///vfj6oPrSRJ7N27l/vuu48PPviA66+/nmuuuWbYve4Hy+nPVLSV6vtNJBI0NTXR2NiIwWCgvLycgoKCCbum6TKbZCEvW7/QezrIysqiuLiYkpKSYfuwxwt1+wmTyURhYSEGg6HP+yHvIzUuIgv64bhIZMXt8Xiora1VUifr6uo4cuQIkUgEi8WiuGnMZjMHDx5kz549PPbYYyxcuHC8LsXxgFAAU4FHH32Uhx56iO3btw9YZPTkk09y2223KV+ARYsWTeAqB6epqYmHH36YTZs2sWzZMlavXk1VVZUifFP916kjLMc6p9/v99P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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import plotly.express as px\n", "px.scatter_3d(data_frame=PCA_df, x = 0, y=1,z=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll use the elbow method to find the optimal number of clusters:" ] }, { "cell_type": "code", "execution_count": 166, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def Kmeans(df):\n", " inertias=[]\n", " for i in range(pca.n_components):\n", " kmeans=KMeans()\n", " kmeans.fit(df)\n", " inertias.append(kmeans.inertia_)\n", " print(inertias)\n", " plt.figure(figsize=(6,6))\n", " plt.plot(range(pca.n_components),inertias,'o-')\n", " plt.show()\n", "Kmeans(PCA_df.iloc[:,:2])" ] }, { "cell_type": "code", "execution_count": 168, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[5708.7335607261075]\n", "[5708.7335607261075, 5708.650917044933]\n", "[5708.7335607261075, 5708.650917044933, 5710.418005174987]\n", "[5708.7335607261075, 5708.650917044933, 5710.418005174987, 5709.009651013699]\n", "[5708.7335607261075, 5708.650917044933, 5710.418005174987, 5709.009651013699, 5708.782658930277]\n", "[5708.7335607261075, 5708.650917044933, 5710.418005174987, 5709.009651013699, 5708.782658930277, 5708.478906004013]\n", "[5708.7335607261075, 5708.650917044933, 5710.418005174987, 5709.009651013699, 5708.782658930277, 5708.478906004013, 5709.049915945705]\n", "[5708.7335607261075, 5708.650917044933, 5710.418005174987, 5709.009651013699, 5708.782658930277, 5708.478906004013, 5709.049915945705, 5709.366945808375]\n", "[5708.7335607261075, 5708.650917044933, 5710.418005174987, 5709.009651013699, 5708.782658930277, 5708.478906004013, 5709.049915945705, 5709.366945808375, 5708.833673474323]\n", "[5708.7335607261075, 5708.650917044933, 5710.418005174987, 5709.009651013699, 5708.782658930277, 5708.478906004013, 5709.049915945705, 5709.366945808375, 5708.833673474323, 5708.796255718321]\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Kmeans(PCA_df.iloc[:,:2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since the results are wildly different, kmeans is not a viable algorithm for this task, we'll use DBSACN instead" ] }, { "cell_type": "code", "execution_count": 169, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '$x_2$')" ] }, "execution_count": 169, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dbscan_cluster = DBSCAN()\n", "dbscan_cluster.fit(PCA_df.iloc[:,:2])\n", "plt.scatter(PCA_df[0], \n", "PCA_df[1], \n", "c=dbscan_cluster.labels_)\n", "plt.xlabel(\"$x_1$\")\n", "plt.ylabel(\"$x_2$\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use nearest neighbors to find the optimal epsilon:" ] }, { "cell_type": "code", "execution_count": 170, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Requirement already satisfied: kneed in c:\\users\\lenovo\\anaconda3\\lib\\site-packages (0.8.1)\n", "Requirement already satisfied: scipy>=1.0.0 in c:\\users\\lenovo\\anaconda3\\lib\\site-packages (from kneed) (1.7.3)\n", "Requirement already satisfied: numpy>=1.14.2 in c:\\users\\lenovo\\anaconda3\\lib\\site-packages (from kneed) (1.21.5)\n" ] } ], "source": [ "!pip install kneed" ] }, { "cell_type": "code", "execution_count": 171, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.2529010193432564\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def finding_steep(min_point,new_df):\n", " from sklearn.neighbors import NearestNeighbors\n", " n_neighbors=NearestNeighbors(n_neighbors=min_point)\n", " neighbors = n_neighbors.fit(new_df.iloc[:,:2])\n", " distances, indices = neighbors.kneighbors(new_df.iloc[:,:2])\n", " distances = np.sort(distances[:,n_neighbors.n_neighbors-1], axis=0)\n", " fig = plt.figure(figsize=(5, 5))\n", " plt.plot(distances)\n", " plt.xlabel(\"Points\")\n", " plt.ylabel(\"Distance\")\n", " from kneed import KneeLocator\n", " i = np.arange(len(distances))\n", " knee = KneeLocator(i, distances, S=1, curve='convex', direction='increasing', interp_method='polynomial')\n", " fig = plt.figure(figsize=(5, 5))\n", " knee.plot_knee()\n", " plt.xlabel(\"Points\")\n", " plt.ylabel(\"Distance\")\n", " print(distances[knee.knee])\n", "finding_steep(15,PCA_df)" ] }, { "cell_type": "code", "execution_count": 172, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DBSCAN(eps=0.252, min_samples=12)" ] }, "execution_count": 172, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dbscan_cluster = DBSCAN(eps=0.252,min_samples=12)\n", "dbscan_cluster.fit(PCA_df.iloc[:,:2])" ] }, { "cell_type": "code", "execution_count": 173, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '$x_2$')" ] }, "execution_count": 173, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(PCA_df[0], \n", "PCA_df[1], \n", "c=dbscan_cluster.labels_)\n", "plt.xlabel(\"$x_1$\")\n", "plt.ylabel(\"$x_2$\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Even the density clusters are inconclusive, to interpret the results, we'll take a number of clusters that minimizes inertia in both of the given Kmeans charts, that's 3:" ] }, { "cell_type": "code", "execution_count": 174, "metadata": { "scrolled": true }, "outputs": [], "source": [ "kmeans = KMeans(n_clusters=3, random_state=42) \n", "kmeans.fit(PCA_df.iloc[:,:2])\n", "kmeans.labels_.shape\n", "centroids=kmeans.cluster_centers_" ] }, { "cell_type": "code", "execution_count": 175, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(PCA_df[0], PCA_df[1], c= kmeans.labels_.astype(float), s=50, alpha=0.5)\n", "plt.scatter(centroids[:, 0], centroids[:, 1], c='red', s=50)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we include the categorical columns and do the analysis all over again:" ] }, { "cell_type": "code", "execution_count": 176, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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Customer IDReferred a FriendNumber of ReferralsTenure in MonthsOfferPhone ServiceAvg Monthly Long Distance ChargesMultiple LinesInternet ServiceInternet Type...LatitudeLongitudePopulationChurn ValueCLTVChurn CategoryChurn ReasonTotal Customer Svc RequestsProduct/Service Issues ReportedCustomer Satisfaction
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2200182111.33100...34.108833-118.22971547534131790.01103.005453
3311253119.76000...33.936291-118.33263927778153371.02112.000000
441137316.33101...33.972119-118.02018826265127932.03102.000000
..................................................................
7038703800720122.77013...34.341737-116.5394162182053065.019003.005453
7039703911243136.05102...34.667815-117.53618318980021405.019203.005453
7040704014720129.66101...34.559882-115.63716442055605.019204.000000
704170411111000.00002...34.167800-116.864330301027935.019003.005453
7042704200660130.96000...34.424926-117.18450328819050975.019123.005453
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7043 rows × 46 columns

\n", "
" ], "text/plain": [ " Customer ID Referred a Friend Number of Referrals Tenure in Months \\\n", "0 0 0 0 1 \n", "1 1 1 1 8 \n", "2 2 0 0 18 \n", "3 3 1 1 25 \n", "4 4 1 1 37 \n", "... ... ... ... ... \n", "7038 7038 0 0 72 \n", "7039 7039 1 1 24 \n", "7040 7040 1 4 72 \n", "7041 7041 1 1 11 \n", "7042 7042 0 0 66 \n", "\n", " Offer Phone Service Avg Monthly Long Distance Charges Multiple Lines \\\n", "0 0 0 0.00 0 \n", "1 1 1 48.85 1 \n", "2 2 1 11.33 1 \n", "3 3 1 19.76 0 \n", "4 3 1 6.33 1 \n", "... ... ... ... ... \n", "7038 0 1 22.77 0 \n", "7039 3 1 36.05 1 \n", "7040 0 1 29.66 1 \n", "7041 0 0 0.00 0 \n", "7042 0 1 30.96 0 \n", "\n", " Internet Service Internet Type ... Latitude Longitude Population \\\n", "0 0 0 ... 34.023810 -118.156582 68701 \n", "1 0 1 ... 34.044271 -118.185237 55668 \n", "2 0 0 ... 34.108833 -118.229715 47534 \n", "3 0 0 ... 33.936291 -118.332639 27778 \n", "4 0 1 ... 33.972119 -118.020188 26265 \n", "... ... ... ... ... ... ... \n", "7038 1 3 ... 34.341737 -116.539416 2182 \n", "7039 0 2 ... 34.667815 -117.536183 18980 \n", "7040 0 1 ... 34.559882 -115.637164 42 \n", "7041 0 2 ... 34.167800 -116.864330 301 \n", "7042 0 0 ... 34.424926 -117.184503 28819 \n", "\n", " Churn Value CLTV Churn Category Churn Reason \\\n", "0 1 5433 0.0 0 \n", "1 1 5302 0.0 1 \n", "2 1 3179 0.0 1 \n", "3 1 5337 1.0 2 \n", "4 1 2793 2.0 3 \n", "... ... ... ... ... \n", "7038 0 5306 5.0 19 \n", "7039 0 2140 5.0 19 \n", "7040 0 5560 5.0 19 \n", "7041 0 2793 5.0 19 \n", "7042 0 5097 5.0 19 \n", "\n", " Total Customer Svc Requests Product/Service Issues Reported \\\n", "0 5 0 \n", "1 5 0 \n", "2 1 0 \n", "3 1 1 \n", "4 1 0 \n", "... ... ... \n", "7038 0 0 \n", "7039 2 0 \n", "7040 2 0 \n", "7041 0 0 \n", "7042 1 2 \n", "\n", " Customer Satisfaction \n", "0 3.005453 \n", "1 3.005453 \n", "2 3.005453 \n", "3 2.000000 \n", "4 2.000000 \n", "... ... \n", "7038 3.005453 \n", "7039 3.005453 \n", "7040 4.000000 \n", "7041 3.005453 \n", "7042 3.005453 \n", "\n", "[7043 rows x 46 columns]" ] }, "execution_count": 176, "metadata": {}, "output_type": "execute_result" } ], "source": [ "for i in df.columns:\n", " df[i].fillna(value=df[i].mean(), inplace=True)\n", "df" ] }, { "cell_type": "code", "execution_count": 177, "metadata": {}, "outputs": [], "source": [ "df=df.drop(columns=['Customer ID'])" ] }, { "cell_type": "code", "execution_count": 178, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(7043, 45)" ] }, "execution_count": 178, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.preprocessing import StandardScaler\n", "scaled = StandardScaler().fit_transform(df)\n", "scaled.shape" ] }, { "cell_type": "code", "execution_count": 179, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(7043, 10)" ] }, "execution_count": 179, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca1=PCA(n_components=10)\n", "reduced_data=pca1.fit_transform(scaled)\n", "reduced_data.shape" ] }, { "cell_type": "code", "execution_count": 180, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "features = range(pca1.n_components_)\n", "plt.bar(features, pca1.explained_variance_ratio_, color='black')\n", "plt.xlabel('PCA features')\n", "plt.ylabel('variance %')\n", "PCA_df1=pd.DataFrame(reduced_data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This variance chart seems to be similar to the non categorical variance chart" ] }, { "cell_type": "code", "execution_count": 181, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 181, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(PCA_df1[0],PCA_df1[1])" ] }, { "cell_type": "code", "execution_count": 182, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import plotly.express as px\n", "px.scatter_3d(data_frame=PCA_df1, x = 0, y=1,z=2)" ] }, { "cell_type": "code", "execution_count": 184, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[9951.670610377483]\n", "[9951.670610377483, 9951.744680442811]\n", "[9951.670610377483, 9951.744680442811, 9952.686480480128]\n", "[9951.670610377483, 9951.744680442811, 9952.686480480128, 9950.427273574365]\n", "[9951.670610377483, 9951.744680442811, 9952.686480480128, 9950.427273574365, 9952.946643234836]\n", "[9951.670610377483, 9951.744680442811, 9952.686480480128, 9950.427273574365, 9952.946643234836, 9951.607090227864]\n", "[9951.670610377483, 9951.744680442811, 9952.686480480128, 9950.427273574365, 9952.946643234836, 9951.607090227864, 9951.420254509447]\n", "[9951.670610377483, 9951.744680442811, 9952.686480480128, 9950.427273574365, 9952.946643234836, 9951.607090227864, 9951.420254509447, 9951.7464976966]\n", "[9951.670610377483, 9951.744680442811, 9952.686480480128, 9950.427273574365, 9952.946643234836, 9951.607090227864, 9951.420254509447, 9951.7464976966, 9951.64052798351]\n", "[9951.670610377483, 9951.744680442811, 9952.686480480128, 9950.427273574365, 9952.946643234836, 9951.607090227864, 9951.420254509447, 9951.7464976966, 9951.64052798351, 9951.696580174399]\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Kmeans(PCA_df1.iloc[:,:2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In terms of Kmeans, 2 is the optimal number of clusters, we'll apply DBSCAN to the dataframe once to get a better representation:" ] }, { "cell_type": "code", "execution_count": 186, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '$x_2$')" ] }, "execution_count": 186, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dbscan_cluster = DBSCAN()\n", "dbscan_cluster.fit(PCA_df1.iloc[:,:2])\n", "plt.scatter(PCA_df1[0], \n", "PCA_df1[1], \n", "c=dbscan_cluster.labels_)\n", "plt.xlabel(\"$x_1$\")\n", "plt.ylabel(\"$x_2$\")" ] }, { "cell_type": "code", "execution_count": 187, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.3246240969228478\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "finding_steep(15,PCA_df1)" ] }, { "cell_type": "code", "execution_count": 188, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DBSCAN(eps=0.324, min_samples=12)" ] }, "execution_count": 188, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dbscan_cluster = DBSCAN(eps=0.324,min_samples=12)\n", "dbscan_cluster.fit(PCA_df1.iloc[:,:2])" ] }, { "cell_type": "code", "execution_count": 189, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '$x_2$')" ] }, "execution_count": 189, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(PCA_df1[0], \n", "PCA_df1[1], \n", "c=dbscan_cluster.labels_)\n", "plt.xlabel(\"$x_1$\")\n", "plt.ylabel(\"$x_2$\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "inconclusive results, we'll go for kmeans with 2 clusters" ] }, { "cell_type": "code", "execution_count": 190, "metadata": {}, "outputs": [], "source": [ "kmeans = KMeans(n_clusters=2, random_state=42) \n", "kmeans.fit(PCA_df1.iloc[:,:2])\n", "kmeans.labels_.shape\n", "centroids=kmeans.cluster_centers_" ] }, { "cell_type": "code", "execution_count": 191, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(PCA_df[0], PCA_df[1], c= kmeans.labels_.astype(float), s=50, alpha=0.5)\n", "plt.scatter(centroids[:, 0], centroids[:, 1], c='red', s=50)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.12" } }, "nbformat": 4, "nbformat_minor": 4 }