eda-customer-segmentation-online-retail (1).ipynb

{"metadata":{"kernelspec":{"language":"python","display_name":"Python 3","name":"python3"},"language_info":{"name":"python","version":"3.7.12","mimetype":"text/x-python","codemirror_mode":{"name":"ipython","version":3},"pygments_lexer":"ipython3","nbconvert_exporter":"python","file_extension":".py"}},"nbformat_minor":4,"nbformat":4,"cells":[{"cell_type":"code","source":"import numpy as np\nimport pandas as pd\nimport matplotlib.pyplot as plt \nimport seaborn as sns\nimport warnings\nfrom operator import attrgetter\nimport datetime as dt\nimport matplotlib.colors as mcolors\nfrom IPython.display import display\nimport warnings\nwarnings.filterwarnings(\"ignore\")\n%matplotlib inline","metadata":{"id":"59f1f2e8","execution":{"iopub.status.busy":"2022-11-19T23:50:57.458793Z","iopub.execute_input":"2022-11-19T23:50:57.459189Z","iopub.status.idle":"2022-11-19T23:50:57.468635Z","shell.execute_reply.started":"2022-11-19T23:50:57.459157Z","shell.execute_reply":"2022-11-19T23:50:57.467405Z"},"trusted":true},"execution_count":57,"outputs":[]},{"cell_type":"code","source":"","metadata":{"id":"u1xnKsqNMmxz"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"data=pd.read_csv('../input/ecommerce-uk-retailer/Ecommerce - UK Retailer.csv', encoding= 'unicode_escape')\ndata.head()","metadata":{"id":"a4827115","outputId":"1aa94418-2693-474d-c9d5-de51d52d71ea","execution":{"iopub.status.busy":"2022-11-19T23:50:57.470629Z","iopub.execute_input":"2022-11-19T23:50:57.471007Z","iopub.status.idle":"2022-11-19T23:50:58.307229Z","shell.execute_reply.started":"2022-11-19T23:50:57.470956Z","shell.execute_reply":"2022-11-19T23:50:58.306477Z"},"trusted":true},"execution_count":58,"outputs":[{"execution_count":58,"output_type":"execute_result","data":{"text/plain":"  InvoiceNo StockCode                          Description  Quantity  \\\n0    536365    85123A   WHITE HANGING HEART T-LIGHT HOLDER         6   \n1    536365     71053                  WHITE METAL LANTERN         6   \n2    536365    84406B       CREAM CUPID HEARTS COAT HANGER         8   \n3    536365    84029G  KNITTED UNION FLAG HOT WATER BOTTLE         6   \n4    536365    84029E       RED WOOLLY HOTTIE WHITE HEART.         6   \n\n      InvoiceDate  UnitPrice  CustomerID         Country  \n0  12/1/2010 8:26       2.55     17850.0  United Kingdom  \n1  12/1/2010 8:26       3.39     17850.0  United Kingdom  \n2  12/1/2010 8:26       2.75     17850.0  United Kingdom  \n3  12/1/2010 8:26       3.39     17850.0  United Kingdom  \n4  12/1/2010 8:26       3.39     17850.0  United Kingdom  ","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>InvoiceNo</th>\n      <th>StockCode</th>\n      <th>Description</th>\n      <th>Quantity</th>\n      <th>InvoiceDate</th>\n      <th>UnitPrice</th>\n      <th>CustomerID</th>\n      <th>Country</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>536365</td>\n      <td>85123A</td>\n      <td>WHITE HANGING HEART T-LIGHT HOLDER</td>\n      <td>6</td>\n      <td>12/1/2010 8:26</td>\n      <td>2.55</td>\n      <td>17850.0</td>\n      <td>United Kingdom</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>536365</td>\n      <td>71053</td>\n      <td>WHITE METAL LANTERN</td>\n      <td>6</td>\n      <td>12/1/2010 8:26</td>\n      <td>3.39</td>\n      <td>17850.0</td>\n      <td>United Kingdom</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>536365</td>\n      <td>84406B</td>\n      <td>CREAM CUPID HEARTS COAT HANGER</td>\n      <td>8</td>\n      <td>12/1/2010 8:26</td>\n      <td>2.75</td>\n      <td>17850.0</td>\n      <td>United Kingdom</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>536365</td>\n      <td>84029G</td>\n      <td>KNITTED UNION FLAG HOT WATER BOTTLE</td>\n      <td>6</td>\n      <td>12/1/2010 8:26</td>\n      <td>3.39</td>\n      <td>17850.0</td>\n      <td>United Kingdom</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>536365</td>\n      <td>84029E</td>\n      <td>RED WOOLLY HOTTIE WHITE HEART.</td>\n      <td>6</td>\n      <td>12/1/2010 8:26</td>\n      <td>3.39</td>\n      <td>17850.0</td>\n      <td>United Kingdom</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"cell_type":"markdown","source":"## Data Cleaning","metadata":{"id":"1b7d6965"}},{"cell_type":"code","source":"data.isnull().sum()","metadata":{"id":"baa88cfc","outputId":"c7017548-3621-4982-eb38-58172165d94b","execution":{"iopub.status.busy":"2022-11-19T23:50:58.308764Z","iopub.execute_input":"2022-11-19T23:50:58.309573Z","iopub.status.idle":"2022-11-19T23:50:58.431636Z","shell.execute_reply.started":"2022-11-19T23:50:58.309538Z","shell.execute_reply":"2022-11-19T23:50:58.430673Z"},"trusted":true},"execution_count":59,"outputs":[{"execution_count":59,"output_type":"execute_result","data":{"text/plain":"InvoiceNo           0\nStockCode           0\nDescription      1454\nQuantity            0\nInvoiceDate         0\nUnitPrice           0\nCustomerID     135080\nCountry             0\ndtype: int64"},"metadata":{}}]},{"cell_type":"code","source":"data.info()","metadata":{"id":"950be01f","outputId":"cd10635f-6ded-4c91-a635-a327923de81a","execution":{"iopub.status.busy":"2022-11-19T23:50:58.435097Z","iopub.execute_input":"2022-11-19T23:50:58.436234Z","iopub.status.idle":"2022-11-19T23:50:58.566697Z","shell.execute_reply.started":"2022-11-19T23:50:58.436187Z","shell.execute_reply":"2022-11-19T23:50:58.565464Z"},"trusted":true},"execution_count":60,"outputs":[{"name":"stdout","text":"<class 'pandas.core.frame.DataFrame'>\nRangeIndex: 541909 entries, 0 to 541908\nData columns (total 8 columns):\n #   Column       Non-Null Count   Dtype  \n---  ------       --------------   -----  \n 0   InvoiceNo    541909 non-null  object \n 1   StockCode    541909 non-null  object \n 2   Description  540455 non-null  object \n 3   Quantity     541909 non-null  int64  \n 4   InvoiceDate  541909 non-null  object \n 5   UnitPrice    541909 non-null  float64\n 6   CustomerID   406829 non-null  float64\n 7   Country      541909 non-null  object \ndtypes: float64(2), int64(1), object(5)\nmemory usage: 33.1+ MB\n","output_type":"stream"}]},{"cell_type":"markdown","source":"Since customer ID is absolutely needed and we don't have a reliable way to replace description, we'll drop the data points having NaN in both","metadata":{"id":"0858fe6b"}},{"cell_type":"code","source":"data.dropna(subset=['CustomerID'], inplace=True)","metadata":{"id":"d2b92ca3","execution":{"iopub.status.busy":"2022-11-19T23:50:58.569545Z","iopub.execute_input":"2022-11-19T23:50:58.570337Z","iopub.status.idle":"2022-11-19T23:50:58.615004Z","shell.execute_reply.started":"2022-11-19T23:50:58.570265Z","shell.execute_reply":"2022-11-19T23:50:58.613823Z"},"trusted":true},"execution_count":61,"outputs":[]},{"cell_type":"code","source":"data.dropna(subset=['Description'], inplace=True)","metadata":{"id":"bed90fa4","execution":{"iopub.status.busy":"2022-11-19T23:50:58.616182Z","iopub.execute_input":"2022-11-19T23:50:58.616526Z","iopub.status.idle":"2022-11-19T23:50:58.696699Z","shell.execute_reply.started":"2022-11-19T23:50:58.616496Z","shell.execute_reply":"2022-11-19T23:50:58.695529Z"},"trusted":true},"execution_count":62,"outputs":[]},{"cell_type":"code","source":"data.shape","metadata":{"id":"5d75abdc","outputId":"e2daac93-d5d0-4b77-a010-f04c7202efad","execution":{"iopub.status.busy":"2022-11-19T23:50:58.698221Z","iopub.execute_input":"2022-11-19T23:50:58.698932Z","iopub.status.idle":"2022-11-19T23:50:58.706177Z","shell.execute_reply.started":"2022-11-19T23:50:58.698888Z","shell.execute_reply":"2022-11-19T23:50:58.705068Z"},"trusted":true},"execution_count":63,"outputs":[{"execution_count":63,"output_type":"execute_result","data":{"text/plain":"(406829, 8)"},"metadata":{}}]},{"cell_type":"markdown","source":"## EDA","metadata":{"id":"58c7e705"}},{"cell_type":"markdown","source":"Questions to be answered\n\nQ- What was the average quantity of items ordered overall?\n\nQ- What is the average unit price of each item","metadata":{"id":"cbbf3f67"}},{"cell_type":"code","source":"data.describe().transpose()","metadata":{"id":"93531280","outputId":"a0d1a040-57df-408e-a552-74aa22c4cf6b","execution":{"iopub.status.busy":"2022-11-19T23:50:58.707752Z","iopub.execute_input":"2022-11-19T23:50:58.708082Z","iopub.status.idle":"2022-11-19T23:50:58.776906Z","shell.execute_reply.started":"2022-11-19T23:50:58.708054Z","shell.execute_reply":"2022-11-19T23:50:58.775692Z"},"trusted":true},"execution_count":64,"outputs":[{"execution_count":64,"output_type":"execute_result","data":{"text/plain":"               count          mean          std      min       25%       50%  \\\nQuantity    406829.0     12.061303   248.693370 -80995.0      2.00      5.00   \nUnitPrice   406829.0      3.460471    69.315162      0.0      1.25      1.95   \nCustomerID  406829.0  15287.690570  1713.600303  12346.0  13953.00  15152.00   \n\n                 75%      max  \nQuantity       12.00  80995.0  \nUnitPrice       3.75  38970.0  \nCustomerID  16791.00  18287.0  ","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>count</th>\n      <th>mean</th>\n      <th>std</th>\n      <th>min</th>\n      <th>25%</th>\n      <th>50%</th>\n      <th>75%</th>\n      <th>max</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>Quantity</th>\n      <td>406829.0</td>\n      <td>12.061303</td>\n      <td>248.693370</td>\n      <td>-80995.0</td>\n      <td>2.00</td>\n      <td>5.00</td>\n      <td>12.00</td>\n      <td>80995.0</td>\n    </tr>\n    <tr>\n      <th>UnitPrice</th>\n      <td>406829.0</td>\n      <td>3.460471</td>\n      <td>69.315162</td>\n      <td>0.0</td>\n      <td>1.25</td>\n      <td>1.95</td>\n      <td>3.75</td>\n      <td>38970.0</td>\n    </tr>\n    <tr>\n      <th>CustomerID</th>\n      <td>406829.0</td>\n      <td>15287.690570</td>\n      <td>1713.600303</td>\n      <td>12346.0</td>\n      <td>13953.00</td>\n      <td>15152.00</td>\n      <td>16791.00</td>\n      <td>18287.0</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"cell_type":"markdown","source":"Ans1- 12 approx.\n\nAns2- 3.5","metadata":{"id":"24a674a1"}},{"cell_type":"markdown","source":"From the table above, it can be seen that there are orders with negative quantity — most likely returns\n\nLets inspect the purchases with returns","metadata":{"id":"212619e2"}},{"cell_type":"code","source":"# make a separate dataframe for \ndfReturns = data[data['Quantity'] < 0]\ndfReturns.head()","metadata":{"id":"1c68ac4c","outputId":"d569fcb6-8642-4d32-f0a7-f5c0ffe396f2","execution":{"iopub.status.busy":"2022-11-19T23:50:58.778524Z","iopub.execute_input":"2022-11-19T23:50:58.779332Z","iopub.status.idle":"2022-11-19T23:50:58.800360Z","shell.execute_reply.started":"2022-11-19T23:50:58.779264Z","shell.execute_reply":"2022-11-19T23:50:58.799250Z"},"trusted":true},"execution_count":65,"outputs":[{"execution_count":65,"output_type":"execute_result","data":{"text/plain":"    InvoiceNo StockCode                       Description  Quantity  \\\n141   C536379         D                          Discount        -1   \n154   C536383    35004C   SET OF 3 COLOURED  FLYING DUCKS        -1   \n235   C536391     22556    PLASTERS IN TIN CIRCUS PARADE        -12   \n236   C536391     21984  PACK OF 12 PINK PAISLEY TISSUES        -24   \n237   C536391     21983  PACK OF 12 BLUE PAISLEY TISSUES        -24   \n\n         InvoiceDate  UnitPrice  CustomerID         Country  \n141   12/1/2010 9:41      27.50     14527.0  United Kingdom  \n154   12/1/2010 9:49       4.65     15311.0  United Kingdom  \n235  12/1/2010 10:24       1.65     17548.0  United Kingdom  \n236  12/1/2010 10:24       0.29     17548.0  United Kingdom  \n237  12/1/2010 10:24       0.29     17548.0  United Kingdom  ","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>InvoiceNo</th>\n      <th>StockCode</th>\n      <th>Description</th>\n      <th>Quantity</th>\n      <th>InvoiceDate</th>\n      <th>UnitPrice</th>\n      <th>CustomerID</th>\n      <th>Country</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>141</th>\n      <td>C536379</td>\n      <td>D</td>\n      <td>Discount</td>\n      <td>-1</td>\n      <td>12/1/2010 9:41</td>\n      <td>27.50</td>\n      <td>14527.0</td>\n      <td>United Kingdom</td>\n    </tr>\n    <tr>\n      <th>154</th>\n      <td>C536383</td>\n      <td>35004C</td>\n      <td>SET OF 3 COLOURED  FLYING DUCKS</td>\n      <td>-1</td>\n      <td>12/1/2010 9:49</td>\n      <td>4.65</td>\n      <td>15311.0</td>\n      <td>United Kingdom</td>\n    </tr>\n    <tr>\n      <th>235</th>\n      <td>C536391</td>\n      <td>22556</td>\n      <td>PLASTERS IN TIN CIRCUS PARADE</td>\n      <td>-12</td>\n      <td>12/1/2010 10:24</td>\n      <td>1.65</td>\n      <td>17548.0</td>\n      <td>United Kingdom</td>\n    </tr>\n    <tr>\n      <th>236</th>\n      <td>C536391</td>\n      <td>21984</td>\n      <td>PACK OF 12 PINK PAISLEY TISSUES</td>\n      <td>-24</td>\n      <td>12/1/2010 10:24</td>\n      <td>0.29</td>\n      <td>17548.0</td>\n      <td>United Kingdom</td>\n    </tr>\n    <tr>\n      <th>237</th>\n      <td>C536391</td>\n      <td>21983</td>\n      <td>PACK OF 12 BLUE PAISLEY TISSUES</td>\n      <td>-24</td>\n      <td>12/1/2010 10:24</td>\n      <td>0.29</td>\n      <td>17548.0</td>\n      <td>United Kingdom</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"cell_type":"code","source":"print(f'There are {len(dfReturns)} transactions for the returns')","metadata":{"id":"68812995","outputId":"2a4d3feb-75c7-4bbc-8631-da37f05a0339","execution":{"iopub.status.busy":"2022-11-19T23:50:58.802437Z","iopub.execute_input":"2022-11-19T23:50:58.802891Z","iopub.status.idle":"2022-11-19T23:50:58.808617Z","shell.execute_reply.started":"2022-11-19T23:50:58.802849Z","shell.execute_reply":"2022-11-19T23:50:58.807539Z"},"trusted":true},"execution_count":66,"outputs":[{"name":"stdout","text":"There are 8905 transactions for the returns\n","output_type":"stream"}]},{"cell_type":"code","source":"# checking the countries that have most number of returns\ndfReturns['Country'].value_counts()","metadata":{"id":"5fe232bc","outputId":"60d17bf4-3697-4932-a8de-064f7143477f","execution":{"iopub.status.busy":"2022-11-19T23:50:58.812364Z","iopub.execute_input":"2022-11-19T23:50:58.812743Z","iopub.status.idle":"2022-11-19T23:50:58.824572Z","shell.execute_reply.started":"2022-11-19T23:50:58.812694Z","shell.execute_reply":"2022-11-19T23:50:58.823382Z"},"trusted":true},"execution_count":67,"outputs":[{"execution_count":67,"output_type":"execute_result","data":{"text/plain":"United Kingdom        7533\nGermany                453\nEIRE                   247\nFrance                 149\nUSA                    112\nAustralia               74\nSpain                   48\nItaly                   45\nBelgium                 38\nJapan                   37\nSwitzerland             35\nPortugal                18\nMalta                   15\nNorway                  14\nPoland                  11\nSweden                  11\nChannel Islands         10\nFinland                 10\nDenmark                  9\nCyprus                   8\nNetherlands              8\nSingapore                7\nCzech Republic           5\nAustria                  3\nIsrael                   2\nSaudi Arabia             1\nEuropean Community       1\nGreece                   1\nName: Country, dtype: int64"},"metadata":{}}]},{"cell_type":"code","source":"#Q- top 10 products that are most returned?\ndfReturns['Description'].value_counts().head(10)","metadata":{"id":"zbjYDgvUwBsh","outputId":"8b717965-6ef4-4746-91c2-33e2d17ccd99","execution":{"iopub.status.busy":"2022-11-19T23:50:58.826029Z","iopub.execute_input":"2022-11-19T23:50:58.826396Z","iopub.status.idle":"2022-11-19T23:50:58.839580Z","shell.execute_reply.started":"2022-11-19T23:50:58.826365Z","shell.execute_reply":"2022-11-19T23:50:58.838639Z"},"trusted":true},"execution_count":68,"outputs":[{"execution_count":68,"output_type":"execute_result","data":{"text/plain":"REGENCY CAKESTAND 3 TIER              181\nManual                                175\nPOSTAGE                                97\nJAM MAKING SET WITH JARS               86\nDiscount                               77\nSET OF 3 CAKE TINS PANTRY DESIGN       73\nSTRAWBERRY CERAMIC TRINKET BOX         55\nROSES REGENCY TEACUP AND SAUCER        53\nRECIPE BOX PANTRY YELLOW DESIGN        47\nWOOD 2 DRAWER CABINET WHITE FINISH     45\nName: Description, dtype: int64"},"metadata":{}}]},{"cell_type":"code","source":"data=data[data['Quantity']>=0]\ndata.shape","metadata":{"id":"eecc614e","outputId":"492fc9d5-1037-4769-c140-66e13f3275ae","execution":{"iopub.status.busy":"2022-11-19T23:50:58.840848Z","iopub.execute_input":"2022-11-19T23:50:58.841364Z","iopub.status.idle":"2022-11-19T23:50:58.887644Z","shell.execute_reply.started":"2022-11-19T23:50:58.841323Z","shell.execute_reply":"2022-11-19T23:50:58.886835Z"},"trusted":true},"execution_count":69,"outputs":[{"execution_count":69,"output_type":"execute_result","data":{"text/plain":"(397924, 8)"},"metadata":{}}]},{"cell_type":"markdown","source":"By removing the returns, we create a bias in the dataset.\n\nThis way the initial order is taken into account even though in theory it was not realized and did not generate revenue as it was returned later on. ","metadata":{"id":"bc2a346d"}},{"cell_type":"markdown","source":"Creating a 'Total Prices' Column for each purchase","metadata":{"id":"iJOa6BrdPLLa"}},{"cell_type":"code","source":"data[\"TotalPrice\"] = data[\"Quantity\"] * data[\"UnitPrice\"]","metadata":{"id":"WtkCa2A9PH1E","execution":{"iopub.status.busy":"2022-11-19T23:50:58.888873Z","iopub.execute_input":"2022-11-19T23:50:58.889219Z","iopub.status.idle":"2022-11-19T23:50:58.896456Z","shell.execute_reply.started":"2022-11-19T23:50:58.889188Z","shell.execute_reply":"2022-11-19T23:50:58.895357Z"},"trusted":true},"execution_count":70,"outputs":[]},{"cell_type":"markdown","source":"Q- How many customers are repeat customers?","metadata":{"id":"efaba0e4"}},{"cell_type":"code","source":"order_num = data.groupby(['CustomerID'])[['InvoiceNo']].nunique().apply(display)","metadata":{"id":"8fc7aca7","outputId":"78c0d671-d49f-4030-f2f6-01eb79fb554d","execution":{"iopub.status.busy":"2022-11-19T23:50:58.898251Z","iopub.execute_input":"2022-11-19T23:50:58.899046Z","iopub.status.idle":"2022-11-19T23:50:58.978784Z","shell.execute_reply.started":"2022-11-19T23:50:58.899003Z","shell.execute_reply":"2022-11-19T23:50:58.977676Z"},"trusted":true},"execution_count":71,"outputs":[{"output_type":"display_data","data":{"text/plain":"CustomerID\n12346.0     1\n12347.0     7\n12348.0     4\n12349.0     1\n12350.0     1\n           ..\n18280.0     1\n18281.0     1\n18282.0     2\n18283.0    16\n18287.0     3\nName: InvoiceNo, Length: 4339, dtype: int64"},"metadata":{}}]},{"cell_type":"markdown","source":"As we can see, there are 4339 total customers. Let's see the number of repeat customers i.e. those who made >1 order","metadata":{"id":"00504d44"}},{"cell_type":"code","source":"mul_orders = pd.DataFrame(data.groupby(['CustomerID'])[['InvoiceNo']].nunique())\nmul_orders['InvoiceNo']=mul_orders['InvoiceNo'].astype(int)\nmul_orders=mul_orders[mul_orders['InvoiceNo']>1]\nlen(mul_orders)","metadata":{"id":"c915467e","outputId":"e8afd8d3-0a9a-4297-97c0-758e4d6d9ff9","execution":{"iopub.status.busy":"2022-11-19T23:50:58.980243Z","iopub.execute_input":"2022-11-19T23:50:58.980701Z","iopub.status.idle":"2022-11-19T23:50:59.054744Z","shell.execute_reply.started":"2022-11-19T23:50:58.980669Z","shell.execute_reply":"2022-11-19T23:50:59.053628Z"},"trusted":true},"execution_count":72,"outputs":[{"execution_count":72,"output_type":"execute_result","data":{"text/plain":"2845"},"metadata":{}}]},{"cell_type":"code","source":"","metadata":{"id":"YxzBPX4XMlil"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"As we can see, 2845 customers made a repeat purchase. That means, around 65% customers were retained.","metadata":{"id":"18d4ec14"}},{"cell_type":"markdown","source":"Q- Who are the most frequent shoppers?\n","metadata":{"id":"PgNlwQu8LbFn"}},{"cell_type":"code","source":"data[\"CustomerID\"].value_counts().head()\n","metadata":{"id":"u1yyHkt8LbQc","outputId":"ba658970-817d-4539-9975-da868a17c28e","execution":{"iopub.status.busy":"2022-11-19T23:50:59.056147Z","iopub.execute_input":"2022-11-19T23:50:59.056486Z","iopub.status.idle":"2022-11-19T23:50:59.072467Z","shell.execute_reply.started":"2022-11-19T23:50:59.056455Z","shell.execute_reply":"2022-11-19T23:50:59.071541Z"},"trusted":true},"execution_count":73,"outputs":[{"execution_count":73,"output_type":"execute_result","data":{"text/plain":"17841.0    7847\n14911.0    5677\n14096.0    5111\n12748.0    4596\n14606.0    2700\nName: CustomerID, dtype: int64"},"metadata":{}}]},{"cell_type":"markdown","source":"Q-Number of unique products?","metadata":{"id":"BUS9JCVGLxWH"}},{"cell_type":"code","source":"data[\"StockCode\"].nunique()","metadata":{"id":"T0pm6NtCLxl_","outputId":"47529732-17e0-4374-cb8d-8207ad5afa4c","execution":{"iopub.status.busy":"2022-11-19T23:50:59.074191Z","iopub.execute_input":"2022-11-19T23:50:59.074554Z","iopub.status.idle":"2022-11-19T23:50:59.113063Z","shell.execute_reply.started":"2022-11-19T23:50:59.074522Z","shell.execute_reply":"2022-11-19T23:50:59.112167Z"},"trusted":true},"execution_count":74,"outputs":[{"execution_count":74,"output_type":"execute_result","data":{"text/plain":"3665"},"metadata":{}}]},{"cell_type":"markdown","source":"Q-Top 5 products bought?","metadata":{"id":"HMPfiBLcMDGs"}},{"cell_type":"code","source":"data[\"Description\"].value_counts().head()","metadata":{"id":"zLq-aSvsMBSt","outputId":"3db38fe5-0fb6-49f6-feba-8eec7df07752","execution":{"iopub.status.busy":"2022-11-19T23:50:59.114216Z","iopub.execute_input":"2022-11-19T23:50:59.114594Z","iopub.status.idle":"2022-11-19T23:50:59.156279Z","shell.execute_reply.started":"2022-11-19T23:50:59.114561Z","shell.execute_reply":"2022-11-19T23:50:59.154894Z"},"trusted":true},"execution_count":75,"outputs":[{"execution_count":75,"output_type":"execute_result","data":{"text/plain":"WHITE HANGING HEART T-LIGHT HOLDER    2028\nREGENCY CAKESTAND 3 TIER              1724\nJUMBO BAG RED RETROSPOT               1618\nASSORTED COLOUR BIRD ORNAMENT         1408\nPARTY BUNTING                         1397\nName: Description, dtype: int64"},"metadata":{}}]},{"cell_type":"markdown","source":"Q-Which countries placed the most orders?","metadata":{"id":"wZUDlFH4OD47"}},{"cell_type":"code","source":"data['Country'].value_counts().head()","metadata":{"id":"3v6GwllLOEBb","outputId":"d2be4eb7-98be-442a-9538-743b1942fb04","execution":{"iopub.status.busy":"2022-11-19T23:50:59.157726Z","iopub.execute_input":"2022-11-19T23:50:59.158144Z","iopub.status.idle":"2022-11-19T23:50:59.191093Z","shell.execute_reply.started":"2022-11-19T23:50:59.158101Z","shell.execute_reply":"2022-11-19T23:50:59.189957Z"},"trusted":true},"execution_count":76,"outputs":[{"execution_count":76,"output_type":"execute_result","data":{"text/plain":"United Kingdom    354345\nGermany             9042\nFrance              8342\nEIRE                7238\nSpain               2485\nName: Country, dtype: int64"},"metadata":{}}]},{"cell_type":"markdown","source":"Q-Which countries spent the most?","metadata":{"id":"H_GUuz3TPfZT"}},{"cell_type":"code","source":"\ndata.groupby(\"Country\").agg({\"TotalPrice\": \"sum\"}).sort_values(by = \"TotalPrice\", ascending = False).head()","metadata":{"id":"svT37DocPcej","outputId":"13d05f3b-57c0-4371-8034-bf00d486051a","execution":{"iopub.status.busy":"2022-11-19T23:50:59.192616Z","iopub.execute_input":"2022-11-19T23:50:59.193437Z","iopub.status.idle":"2022-11-19T23:50:59.246151Z","shell.execute_reply.started":"2022-11-19T23:50:59.193391Z","shell.execute_reply":"2022-11-19T23:50:59.245001Z"},"trusted":true},"execution_count":77,"outputs":[{"execution_count":77,"output_type":"execute_result","data":{"text/plain":"                 TotalPrice\nCountry                    \nUnited Kingdom  7308391.554\nNetherlands      285446.340\nEIRE             265545.900\nGermany          228867.140\nFrance           209024.050","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>TotalPrice</th>\n    </tr>\n    <tr>\n      <th>Country</th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>United Kingdom</th>\n      <td>7308391.554</td>\n    </tr>\n    <tr>\n      <th>Netherlands</th>\n      <td>285446.340</td>\n    </tr>\n    <tr>\n      <th>EIRE</th>\n      <td>265545.900</td>\n    </tr>\n    <tr>\n      <th>Germany</th>\n      <td>228867.140</td>\n    </tr>\n    <tr>\n      <th>France</th>\n      <td>209024.050</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"cell_type":"markdown","source":"Q-Customers who spent the most?\n","metadata":{"id":"2RcazCy2PpuM"}},{"cell_type":"code","source":"\ndata.groupby(\"InvoiceNo\").agg({\"TotalPrice\": \"sum\"}).sort_values(by = \"TotalPrice\", ascending = False).head()","metadata":{"id":"evdNHnUGOl6k","outputId":"1285319b-aef0-4abf-d88c-560bb381f491","execution":{"iopub.status.busy":"2022-11-19T23:50:59.247395Z","iopub.execute_input":"2022-11-19T23:50:59.247706Z","iopub.status.idle":"2022-11-19T23:50:59.308654Z","shell.execute_reply.started":"2022-11-19T23:50:59.247677Z","shell.execute_reply":"2022-11-19T23:50:59.307386Z"},"trusted":true},"execution_count":78,"outputs":[{"execution_count":78,"output_type":"execute_result","data":{"text/plain":"           TotalPrice\nInvoiceNo            \n581483      168469.60\n541431       77183.60\n556444       38970.00\n567423       31698.16\n556917       22775.93","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>TotalPrice</th>\n    </tr>\n    <tr>\n      <th>InvoiceNo</th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>581483</th>\n      <td>168469.60</td>\n    </tr>\n    <tr>\n      <th>541431</th>\n      <td>77183.60</td>\n    </tr>\n    <tr>\n      <th>556444</th>\n      <td>38970.00</td>\n    </tr>\n    <tr>\n      <th>567423</th>\n      <td>31698.16</td>\n    </tr>\n    <tr>\n      <th>556917</th>\n      <td>22775.93</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"cell_type":"markdown","source":"Q-Percentage of consumers ordered more than once?","metadata":{"id":"1O7KPwLzbeL8"}},{"cell_type":"code","source":"","metadata":{"id":"7lT6aM6fbdlE"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"Finding Invoice month & year from invoice date","metadata":{"id":"ustYZuu2PqzK"}},{"cell_type":"code","source":"data['InvoiceDate']=pd.to_datetime(data['InvoiceDate'])\ndef get_month(x):\n    return dt.datetime(x.year, x.month, 1)\n  \n# Create the invoicemonth period column\ndata['InvoiceMonthYear'] = data['InvoiceDate'].apply(get_month)\ndata.head()","metadata":{"id":"UrG0kBv8PlxD","outputId":"7a396ea1-a9a6-47ab-b312-818eff3edd49","execution":{"iopub.status.busy":"2022-11-19T23:50:59.310132Z","iopub.execute_input":"2022-11-19T23:50:59.310580Z","iopub.status.idle":"2022-11-19T23:51:03.294055Z","shell.execute_reply.started":"2022-11-19T23:50:59.310545Z","shell.execute_reply":"2022-11-19T23:51:03.292887Z"},"trusted":true},"execution_count":79,"outputs":[{"execution_count":79,"output_type":"execute_result","data":{"text/plain":"  InvoiceNo StockCode                          Description  Quantity  \\\n0    536365    85123A   WHITE HANGING HEART T-LIGHT HOLDER         6   \n1    536365     71053                  WHITE METAL LANTERN         6   \n2    536365    84406B       CREAM CUPID HEARTS COAT HANGER         8   \n3    536365    84029G  KNITTED UNION FLAG HOT WATER BOTTLE         6   \n4    536365    84029E       RED WOOLLY HOTTIE WHITE HEART.         6   \n\n          InvoiceDate  UnitPrice  CustomerID         Country  TotalPrice  \\\n0 2010-12-01 08:26:00       2.55     17850.0  United Kingdom       15.30   \n1 2010-12-01 08:26:00       3.39     17850.0  United Kingdom       20.34   \n2 2010-12-01 08:26:00       2.75     17850.0  United Kingdom       22.00   \n3 2010-12-01 08:26:00       3.39     17850.0  United Kingdom       20.34   \n4 2010-12-01 08:26:00       3.39     17850.0  United Kingdom       20.34   \n\n  InvoiceMonthYear  \n0       2010-12-01  \n1       2010-12-01  \n2       2010-12-01  \n3       2010-12-01  \n4       2010-12-01  ","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>InvoiceNo</th>\n      <th>StockCode</th>\n      <th>Description</th>\n      <th>Quantity</th>\n      <th>InvoiceDate</th>\n      <th>UnitPrice</th>\n      <th>CustomerID</th>\n      <th>Country</th>\n      <th>TotalPrice</th>\n      <th>InvoiceMonthYear</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>536365</td>\n      <td>85123A</td>\n      <td>WHITE HANGING HEART T-LIGHT HOLDER</td>\n      <td>6</td>\n      <td>2010-12-01 08:26:00</td>\n      <td>2.55</td>\n      <td>17850.0</td>\n      <td>United Kingdom</td>\n      <td>15.30</td>\n      <td>2010-12-01</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>536365</td>\n      <td>71053</td>\n      <td>WHITE METAL LANTERN</td>\n      <td>6</td>\n      <td>2010-12-01 08:26:00</td>\n      <td>3.39</td>\n      <td>17850.0</td>\n      <td>United Kingdom</td>\n      <td>20.34</td>\n      <td>2010-12-01</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>536365</td>\n      <td>84406B</td>\n      <td>CREAM CUPID HEARTS COAT HANGER</td>\n      <td>8</td>\n      <td>2010-12-01 08:26:00</td>\n      <td>2.75</td>\n      <td>17850.0</td>\n      <td>United Kingdom</td>\n      <td>22.00</td>\n      <td>2010-12-01</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>536365</td>\n      <td>84029G</td>\n      <td>KNITTED UNION FLAG HOT WATER BOTTLE</td>\n      <td>6</td>\n      <td>2010-12-01 08:26:00</td>\n      <td>3.39</td>\n      <td>17850.0</td>\n      <td>United Kingdom</td>\n      <td>20.34</td>\n      <td>2010-12-01</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>536365</td>\n      <td>84029E</td>\n      <td>RED WOOLLY HOTTIE WHITE HEART.</td>\n      <td>6</td>\n      <td>2010-12-01 08:26:00</td>\n      <td>3.39</td>\n      <td>17850.0</td>\n      <td>United Kingdom</td>\n      <td>20.34</td>\n      <td>2010-12-01</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"cell_type":"markdown","source":"Q- What was the time for which each customer was retained? What is the trend of retention?","metadata":{"id":"QR0mF-MVS2r4"}},{"cell_type":"code","source":"grouping = data.groupby('CustomerID')['InvoiceMonthYear']\n#finding and assigning earliest date of joining for each customer, here cohort refers to the time of joining\ndata['CohortMonthYear'] = grouping.transform('min')\ndata","metadata":{"id":"O1OrFIFfTbKA","outputId":"8bcf8caa-8c1a-45fa-8d5b-bde8125697c6","execution":{"iopub.status.busy":"2022-11-19T23:51:03.295896Z","iopub.execute_input":"2022-11-19T23:51:03.296410Z","iopub.status.idle":"2022-11-19T23:51:03.340027Z","shell.execute_reply.started":"2022-11-19T23:51:03.296364Z","shell.execute_reply":"2022-11-19T23:51:03.338922Z"},"trusted":true},"execution_count":80,"outputs":[{"execution_count":80,"output_type":"execute_result","data":{"text/plain":"       InvoiceNo StockCode                          Description  Quantity  \\\n0         536365    85123A   WHITE HANGING HEART T-LIGHT HOLDER         6   \n1         536365     71053                  WHITE METAL LANTERN         6   \n2         536365    84406B       CREAM CUPID HEARTS COAT HANGER         8   \n3         536365    84029G  KNITTED UNION FLAG HOT WATER BOTTLE         6   \n4         536365    84029E       RED WOOLLY HOTTIE WHITE HEART.         6   \n...          ...       ...                                  ...       ...   \n541904    581587     22613          PACK OF 20 SPACEBOY NAPKINS        12   \n541905    581587     22899         CHILDREN'S APRON DOLLY GIRL          6   \n541906    581587     23254        CHILDRENS CUTLERY DOLLY GIRL          4   \n541907    581587     23255      CHILDRENS CUTLERY CIRCUS PARADE         4   \n541908    581587     22138        BAKING SET 9 PIECE RETROSPOT          3   \n\n               InvoiceDate  UnitPrice  CustomerID         Country  TotalPrice  \\\n0      2010-12-01 08:26:00       2.55     17850.0  United Kingdom       15.30   \n1      2010-12-01 08:26:00       3.39     17850.0  United Kingdom       20.34   \n2      2010-12-01 08:26:00       2.75     17850.0  United Kingdom       22.00   \n3      2010-12-01 08:26:00       3.39     17850.0  United Kingdom       20.34   \n4      2010-12-01 08:26:00       3.39     17850.0  United Kingdom       20.34   \n...                    ...        ...         ...             ...         ...   \n541904 2011-12-09 12:50:00       0.85     12680.0          France       10.20   \n541905 2011-12-09 12:50:00       2.10     12680.0          France       12.60   \n541906 2011-12-09 12:50:00       4.15     12680.0          France       16.60   \n541907 2011-12-09 12:50:00       4.15     12680.0          France       16.60   \n541908 2011-12-09 12:50:00       4.95     12680.0          France       14.85   \n\n       InvoiceMonthYear CohortMonthYear  \n0            2010-12-01      2010-12-01  \n1            2010-12-01      2010-12-01  \n2            2010-12-01      2010-12-01  \n3            2010-12-01      2010-12-01  \n4            2010-12-01      2010-12-01  \n...                 ...             ...  \n541904       2011-12-01      2011-08-01  \n541905       2011-12-01      2011-08-01  \n541906       2011-12-01      2011-08-01  \n541907       2011-12-01      2011-08-01  \n541908       2011-12-01      2011-08-01  \n\n[397924 rows x 11 columns]","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>InvoiceNo</th>\n      <th>StockCode</th>\n      <th>Description</th>\n      <th>Quantity</th>\n      <th>InvoiceDate</th>\n      <th>UnitPrice</th>\n      <th>CustomerID</th>\n      <th>Country</th>\n      <th>TotalPrice</th>\n      <th>InvoiceMonthYear</th>\n      <th>CohortMonthYear</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>536365</td>\n      <td>85123A</td>\n      <td>WHITE HANGING HEART T-LIGHT HOLDER</td>\n      <td>6</td>\n      <td>2010-12-01 08:26:00</td>\n      <td>2.55</td>\n      <td>17850.0</td>\n      <td>United Kingdom</td>\n      <td>15.30</td>\n      <td>2010-12-01</td>\n      <td>2010-12-01</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>536365</td>\n      <td>71053</td>\n      <td>WHITE METAL LANTERN</td>\n      <td>6</td>\n      <td>2010-12-01 08:26:00</td>\n      <td>3.39</td>\n      <td>17850.0</td>\n      <td>United Kingdom</td>\n      <td>20.34</td>\n      <td>2010-12-01</td>\n      <td>2010-12-01</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>536365</td>\n      <td>84406B</td>\n      <td>CREAM CUPID HEARTS COAT HANGER</td>\n      <td>8</td>\n      <td>2010-12-01 08:26:00</td>\n      <td>2.75</td>\n      <td>17850.0</td>\n      <td>United Kingdom</td>\n      <td>22.00</td>\n      <td>2010-12-01</td>\n      <td>2010-12-01</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>536365</td>\n      <td>84029G</td>\n      <td>KNITTED UNION FLAG HOT WATER BOTTLE</td>\n      <td>6</td>\n      <td>2010-12-01 08:26:00</td>\n      <td>3.39</td>\n      <td>17850.0</td>\n      <td>United Kingdom</td>\n      <td>20.34</td>\n      <td>2010-12-01</td>\n      <td>2010-12-01</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>536365</td>\n      <td>84029E</td>\n      <td>RED WOOLLY HOTTIE WHITE HEART.</td>\n      <td>6</td>\n      <td>2010-12-01 08:26:00</td>\n      <td>3.39</td>\n      <td>17850.0</td>\n      <td>United Kingdom</td>\n      <td>20.34</td>\n      <td>2010-12-01</td>\n      <td>2010-12-01</td>\n    </tr>\n    <tr>\n      <th>...</th>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n    </tr>\n    <tr>\n      <th>541904</th>\n      <td>581587</td>\n      <td>22613</td>\n      <td>PACK OF 20 SPACEBOY NAPKINS</td>\n      <td>12</td>\n      <td>2011-12-09 12:50:00</td>\n      <td>0.85</td>\n      <td>12680.0</td>\n      <td>France</td>\n      <td>10.20</td>\n      <td>2011-12-01</td>\n      <td>2011-08-01</td>\n    </tr>\n    <tr>\n      <th>541905</th>\n      <td>581587</td>\n      <td>22899</td>\n      <td>CHILDREN'S APRON DOLLY GIRL</td>\n      <td>6</td>\n      <td>2011-12-09 12:50:00</td>\n      <td>2.10</td>\n      <td>12680.0</td>\n      <td>France</td>\n      <td>12.60</td>\n      <td>2011-12-01</td>\n      <td>2011-08-01</td>\n    </tr>\n    <tr>\n      <th>541906</th>\n      <td>581587</td>\n      <td>23254</td>\n      <td>CHILDRENS CUTLERY DOLLY GIRL</td>\n      <td>4</td>\n      <td>2011-12-09 12:50:00</td>\n      <td>4.15</td>\n      <td>12680.0</td>\n      <td>France</td>\n      <td>16.60</td>\n      <td>2011-12-01</td>\n      <td>2011-08-01</td>\n    </tr>\n    <tr>\n      <th>541907</th>\n      <td>581587</td>\n      <td>23255</td>\n      <td>CHILDRENS CUTLERY CIRCUS PARADE</td>\n      <td>4</td>\n      <td>2011-12-09 12:50:00</td>\n      <td>4.15</td>\n      <td>12680.0</td>\n      <td>France</td>\n      <td>16.60</td>\n      <td>2011-12-01</td>\n      <td>2011-08-01</td>\n    </tr>\n    <tr>\n      <th>541908</th>\n      <td>581587</td>\n      <td>22138</td>\n      <td>BAKING SET 9 PIECE RETROSPOT</td>\n      <td>3</td>\n      <td>2011-12-09 12:50:00</td>\n      <td>4.95</td>\n      <td>12680.0</td>\n      <td>France</td>\n      <td>14.85</td>\n      <td>2011-12-01</td>\n      <td>2011-08-01</td>\n    </tr>\n  </tbody>\n</table>\n<p>397924 rows × 11 columns</p>\n</div>"},"metadata":{}}]},{"cell_type":"markdown","source":"Finding the time for which each customer stayed with the company(in months)","metadata":{"id":"HpwIvIGwUs7_"}},{"cell_type":"code","source":"data['InvoiceMonthYear']=pd.to_datetime(data['InvoiceMonthYear'])\ndata['CohortMonthYear']=pd.to_datetime(data['CohortMonthYear'])\n\n  \ninvoice_year, invoice_month = data['InvoiceMonthYear'].dt.year,data['InvoiceMonthYear'].dt.month\ncohort_year, cohort_month = data['CohortMonthYear'].dt.year,data['CohortMonthYear'].dt.month\nyears_diff = invoice_year - cohort_year\nmonths_diff = invoice_month - cohort_month\ndata['MonthsRetained'] = years_diff * 12 + months_diff + 1\ndata.head()","metadata":{"id":"zkGzim9gXqF3","outputId":"e1f419ea-8344-412e-9fc4-20e017a5430b","execution":{"iopub.status.busy":"2022-11-19T23:51:03.343478Z","iopub.execute_input":"2022-11-19T23:51:03.343804Z","iopub.status.idle":"2022-11-19T23:51:03.551991Z","shell.execute_reply.started":"2022-11-19T23:51:03.343772Z","shell.execute_reply":"2022-11-19T23:51:03.551171Z"},"trusted":true},"execution_count":81,"outputs":[{"execution_count":81,"output_type":"execute_result","data":{"text/plain":"  InvoiceNo StockCode                          Description  Quantity  \\\n0    536365    85123A   WHITE HANGING HEART T-LIGHT HOLDER         6   \n1    536365     71053                  WHITE METAL LANTERN         6   \n2    536365    84406B       CREAM CUPID HEARTS COAT HANGER         8   \n3    536365    84029G  KNITTED UNION FLAG HOT WATER BOTTLE         6   \n4    536365    84029E       RED WOOLLY HOTTIE WHITE HEART.         6   \n\n          InvoiceDate  UnitPrice  CustomerID         Country  TotalPrice  \\\n0 2010-12-01 08:26:00       2.55     17850.0  United Kingdom       15.30   \n1 2010-12-01 08:26:00       3.39     17850.0  United Kingdom       20.34   \n2 2010-12-01 08:26:00       2.75     17850.0  United Kingdom       22.00   \n3 2010-12-01 08:26:00       3.39     17850.0  United Kingdom       20.34   \n4 2010-12-01 08:26:00       3.39     17850.0  United Kingdom       20.34   \n\n  InvoiceMonthYear CohortMonthYear  MonthsRetained  \n0       2010-12-01      2010-12-01               1  \n1       2010-12-01      2010-12-01               1  \n2       2010-12-01      2010-12-01               1  \n3       2010-12-01      2010-12-01               1  \n4       2010-12-01      2010-12-01               1  ","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>InvoiceNo</th>\n      <th>StockCode</th>\n      <th>Description</th>\n      <th>Quantity</th>\n      <th>InvoiceDate</th>\n      <th>UnitPrice</th>\n      <th>CustomerID</th>\n      <th>Country</th>\n      <th>TotalPrice</th>\n      <th>InvoiceMonthYear</th>\n      <th>CohortMonthYear</th>\n      <th>MonthsRetained</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>536365</td>\n      <td>85123A</td>\n      <td>WHITE HANGING HEART T-LIGHT HOLDER</td>\n      <td>6</td>\n      <td>2010-12-01 08:26:00</td>\n      <td>2.55</td>\n      <td>17850.0</td>\n      <td>United Kingdom</td>\n      <td>15.30</td>\n      <td>2010-12-01</td>\n      <td>2010-12-01</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>536365</td>\n      <td>71053</td>\n      <td>WHITE METAL LANTERN</td>\n      <td>6</td>\n      <td>2010-12-01 08:26:00</td>\n      <td>3.39</td>\n      <td>17850.0</td>\n      <td>United Kingdom</td>\n      <td>20.34</td>\n      <td>2010-12-01</td>\n      <td>2010-12-01</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>536365</td>\n      <td>84406B</td>\n      <td>CREAM CUPID HEARTS COAT HANGER</td>\n      <td>8</td>\n      <td>2010-12-01 08:26:00</td>\n      <td>2.75</td>\n      <td>17850.0</td>\n      <td>United Kingdom</td>\n      <td>22.00</td>\n      <td>2010-12-01</td>\n      <td>2010-12-01</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>536365</td>\n      <td>84029G</td>\n      <td>KNITTED UNION FLAG HOT WATER BOTTLE</td>\n      <td>6</td>\n      <td>2010-12-01 08:26:00</td>\n      <td>3.39</td>\n      <td>17850.0</td>\n      <td>United Kingdom</td>\n      <td>20.34</td>\n      <td>2010-12-01</td>\n      <td>2010-12-01</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>536365</td>\n      <td>84029E</td>\n      <td>RED WOOLLY HOTTIE WHITE HEART.</td>\n      <td>6</td>\n      <td>2010-12-01 08:26:00</td>\n      <td>3.39</td>\n      <td>17850.0</td>\n      <td>United Kingdom</td>\n      <td>20.34</td>\n      <td>2010-12-01</td>\n      <td>2010-12-01</td>\n      <td>1</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"cell_type":"markdown","source":"Plotting the results","metadata":{"id":"k_URGJSMjnGW"}},{"cell_type":"code","source":"sns.countplot(data['MonthsRetained'])\nplt.xlabel(\"Number of months of retention\")\nplt.ylabel(\"Number of customers\")\nplt.show()","metadata":{"id":"S1HG3AZ1UZEJ","outputId":"7fbbeadb-029e-4306-8123-44851c2460e2","execution":{"iopub.status.busy":"2022-11-19T23:51:03.553164Z","iopub.execute_input":"2022-11-19T23:51:03.553763Z","iopub.status.idle":"2022-11-19T23:51:03.835830Z","shell.execute_reply.started":"2022-11-19T23:51:03.553726Z","shell.execute_reply":"2022-11-19T23:51:03.834695Z"},"trusted":true},"execution_count":82,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":"As we can see, a large chunk of customers stayed only for 1 month. \n\nWe can see that there was a significant decrease in the number of customers using the product in the next month. and after that month, there is steady flow of customers for the rest of the year except that next year where less loyal customers were present. \n\nThis could be many reasons:\n1. No end of the year sales or discounts.\n2. No seasonal or festival offers\n(This may vary from country to country)\n3. No new updates on products or interface of the store.\n\nGoing deeper, let's see the retention rate of customers cohortwise.","metadata":{"id":"uZeM93QXkx7A"}},{"cell_type":"code","source":"group = data.groupby(['CohortMonthYear', 'MonthsRetained'])\ncohorts = group['CustomerID'].apply(pd.Series.nunique).reset_index()\ncohort_counts = cohorts.pivot(index='CohortMonthYear', columns='MonthsRetained', values='CustomerID')\ncohort_sizes = cohort_counts.iloc[:,0]\nretention_percent = cohort_counts.divide(cohort_sizes, axis=0)*100","metadata":{"id":"vIz0DyySXdHa","execution":{"iopub.status.busy":"2022-11-19T23:51:03.837418Z","iopub.execute_input":"2022-11-19T23:51:03.837754Z","iopub.status.idle":"2022-11-19T23:51:03.902317Z","shell.execute_reply.started":"2022-11-19T23:51:03.837724Z","shell.execute_reply":"2022-11-19T23:51:03.901225Z"},"trusted":true},"execution_count":83,"outputs":[]},{"cell_type":"code","source":"month_list = retention_percent.reset_index()['CohortMonthYear']\n\ndef get_month_name(x):\n   return dt.datetime.strftime(x, '%b-%y')\n  \nmonth_list = month_list.apply(get_month_name)","metadata":{"id":"iZuWwFncdfXy","execution":{"iopub.status.busy":"2022-11-19T23:51:03.903569Z","iopub.execute_input":"2022-11-19T23:51:03.904423Z","iopub.status.idle":"2022-11-19T23:51:03.911825Z","shell.execute_reply.started":"2022-11-19T23:51:03.904388Z","shell.execute_reply":"2022-11-19T23:51:03.910666Z"},"trusted":true},"execution_count":84,"outputs":[]},{"cell_type":"code","source":"\nplt.figure(figsize=(15,7))\nplt.title('Percentage Retention by Cohort')\nsns.heatmap(data=retention_percent,annot = True,vmin = 0.0, cmap=\"BuPu\",vmax = list(retention_percent.max().sort_values(ascending = False))[1]+3,fmt = '.1f',yticklabels=month_list)\nplt.show()","metadata":{"id":"E7B5HjVYdKOi","outputId":"3b446d50-1486-4d7e-e782-89dede4bf200","execution":{"iopub.status.busy":"2022-11-19T23:51:03.919569Z","iopub.execute_input":"2022-11-19T23:51:03.920034Z","iopub.status.idle":"2022-11-19T23:51:04.630898Z","shell.execute_reply.started":"2022-11-19T23:51:03.920002Z","shell.execute_reply":"2022-11-19T23:51:04.629469Z"},"trusted":true},"execution_count":85,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1080x504 with 2 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":"As we can see, retention of customers shows a general decreasing trend as the months go by.\n\nBased on the cohort analysis graph of Percentage Retention of cohorts, we deduce following observations:\n\n1. Customers who purchased first time in the month of december 2010, there was significant decline in customers purchasing in the next 11 months but at the end of the year the customers came back to purchase the products in the store by a huge margin - This is due to end of the year sales or discounts done to attract new and old customers to purchase which is good but a temporary solution to increase revenue \n\n2. During May to August 2011, we can see that the retention rate increases after a lag. For most of the regions, the retentiaon rate increases after 8 to 10 periods but later end of year declined. The increase could be the email marketing done with the old customers that allowed them to return purchasing products but later at the end, less customers returned. due to no or less communication with the store. The store should initiate discount vaouchers for customers, who do purchases each month. This way, they will be able to increase their revenue.\n\n","metadata":{"id":"ztSWYArGyF4W"}},{"cell_type":"markdown","source":"Q- What is the average spending behaviour of each cohort","metadata":{"id":"rDnBhbX6vUxe"}},{"cell_type":"code","source":"gp=group['UnitPrice'].mean().reset_index()\naverage_price = gp.pivot(index='CohortMonthYear', columns='MonthsRetained', values='UnitPrice')\naverage_price.index = average_price.index.date","metadata":{"id":"WtRa3N4TvZ9k","execution":{"iopub.status.busy":"2022-11-19T23:51:04.632539Z","iopub.execute_input":"2022-11-19T23:51:04.632899Z","iopub.status.idle":"2022-11-19T23:51:04.652889Z","shell.execute_reply.started":"2022-11-19T23:51:04.632864Z","shell.execute_reply":"2022-11-19T23:51:04.651367Z"},"trusted":true},"execution_count":86,"outputs":[]},{"cell_type":"code","source":"plt.figure(figsize=(15,7))\nsns.heatmap(data = average_price,annot=True,vmin = 0.0, cmap=\"BuPu\",vmax = list(average_price.max().sort_values(ascending = False))[1]+3,fmt = '.1f',yticklabels=month_list)\nplt.title('Average Spending by Cohort')\nplt.show()","metadata":{"id":"bn8b6aCKv1g9","outputId":"d966273b-d715-456a-aca3-fd8c1dc3ec67","execution":{"iopub.status.busy":"2022-11-19T23:51:04.654253Z","iopub.execute_input":"2022-11-19T23:51:04.655164Z","iopub.status.idle":"2022-11-19T23:51:05.388141Z","shell.execute_reply.started":"2022-11-19T23:51:04.655120Z","shell.execute_reply":"2022-11-19T23:51:05.387016Z"},"trusted":true},"execution_count":87,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1080x504 with 2 Axes>","image/png":"iVBORw0KGgoAAAANSUhEUgAAAyIAAAG5CAYAAAByc4D3AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/NK7nSAAAACXBIWXMAAAsTAAALEwEAmpwYAACcQ0lEQVR4nOzdd3xUVdrA8d8zk04oAVJISANC6C1U6ViQYkfsXSm21dW1K9ZdC8WCvrsoYMHGumLB3hALolTpPbQEEkgndWbO+8cMkE4CQ2YYny+f+TCZe+be58m5d3LPPefcEWMMSimllFJKKdWQLJ4OQCmllFJKKfXXow0RpZRSSimlVIPThohSSimllFKqwWlDRCmllFJKKdXgtCGilFJKKaWUanDaEFFKKaWUUko1OG2IKKWUAkBEEkTEiIif6+cvROSak7CdYSKyx93rPR6ufNt5Og6llPor0oaIUuqUJCKLRCRbRAI9HcuJEpFmIjJHRPaJSL6IbBaR+zwdlzFmlDHmDU/HcSwi0ldEPheRHBHJEpHfReQ6D8RRoSGnlFKqdtoQUUqdckQkARgMGODck7D+hj6RnAGEAh2Bpjhz2trAMZySRGQA8D3wI9AOaAFMBkY1cBza+FBKqXrShohS6lR0NfAb8DpwDYCIBLquiHc5XEhEwkWkSEQiXD+PFZFVrnK/iki3cmVTReReEfkTOCQifiJyn4hsc/VSrBeRC8qVt4rINBE5ICI7ROTWSsOamorIbBFJF5G9IvKkiFhryKcP8I4xJtsY4zDGbDTGfFBuW0ZEbheR7a7tPScilnLLrxeRDa4eoq9EJL7SeyeJyBZX3i+LiJTLYaprnduBMeWDcvU63eh6fq2I/Owqn+3KeVS5sokistj1u/rWtZ15tVWiiDzg2naqiFzheq2PiOwv/7sSkQtFZHUNq3kOeMMY84wx5oBxWm6MGV/u/TeJyFZXb8knIhJdaR1n1PD7sYjIQyKyU0QyRORNEWnqWna49+MGEdmFszG02LW+HBEpcDWSlFJK1UAbIkqpU9HVwNuux0gRiTTGlAAfApeVKzce+NEYkyEiPYE5wEScV83/A3xSaWjXZThPxpsZY2zANpw9L02Bx4B5ItLKVfYmnFfdewC9gPMrxfg6YMN5lb4ncBZwYw35/AY8JSLXiUhSDWUuAHq7tnUecD2AiJwHPABcCIQDPwHvVnrvWJyNnW6u38nIcjmMdcXXGxhXw7YP6wdsAloCzwKzD5+0A+8Av+P83T4KXHWMdUW51hODszE5S0SSjTF/AAdx/r4Ouwp4s/IKRCQEGAB8UHlZuTIjgH/hzLsVsBN4r1Kxmn4/17oew4E2OHutZlZ671CcPVkjgSGu15oZY0KNMUtqiksppRRgjNGHPvShj1PmAQwCyoCWrp83Ane6np8BbCtX9hfgatfz/wOeqLSuTcBQ1/NU4PpjbHsVcJ7r+ffAxHLLzsA5VMwPiARKgOByyy8DfqhhvcE4GxPLXbltBUaVW26As8v9fDPwnev5F8AN5ZZZgEIgvtx7B5VbPh+4r1wOk8otO+twDq6fFwE3up5fC2wtVzbEVTYKiMPZ6Aopt3weMK+GfIe5yjeqFNfDruf3Am+7njd35dOqmvXEuGLoUEudzQaeLfdzqOt3nFCH3893wM3lliW73usHJLje26bc8sOv+Xn6ONGHPvShj1PhoT0iSqlTzTXA18aYA66f33G9BvADECIi/VzzSHoAC1zL4oG7XMNvckQkB4gFyg/T2V1+QyJydbmhXDlAF5xX8XG9b3cN740H/IH0cu/9DxBRXULGmCJjzD+NMSk4exTmA/8VkeY1rH9nubjjgRfKbScLEJwn6YftK/e8EOfJeHU57KwuvurWY4wpdD0Nda0nq9xrleOtTrYx5lClbR/OaR5wjog0wtlD8ZMxJr26dQAOnD0dNYmmXF7GmAKcPS51/f2U/53s5GhD87Bj5amUUqoGOrlOKXXKEJFgnCemVhE5fPIYCDQTke7GmNUiMh9n78N+YKExJt9VbjfwlDHmqVo2YcptKx54FTgdWGKMsYvIKpwn+QDpQOty740t93w3zh6RlsY5xKvOjDF5IvJP4H4gEWfD4vD617mexwFplfJ6uz7bcUmvFHfccazj8Hqai0hIucZIbG1vAMJEpFG5xkgcsBbAGLNXRJbgHG52Fc7erCqMMYWuchfhbIRWJw1nYw0AV+OmBbD32GlVfC9He372c7TuTbnl5Z8rpZQ6Bu0RUUqdSs4H7EAnnL0dPXCOz/8J57wRcPaQXAJc4Xp+2KvAJFdviYhIIxEZIyKNa9hWI5wnlpkA4rwdbJdyy+cDfxORGBFphnM4EQCuq/dfA9NEpIlr0nNbERla3YZE5GHXJO0AEQkC/gbk4Bw6dtg/RCRMRGJdy993vf5v4H4R6exaV1MRubiGnCqbD9wuIq1FJAw4rlsGG2N2AsuAR105DADOqcNbH3OVH4xznsZ/yy17E7gH6Ipz7k9N7gGuFZF/iEgLABHpLiKH54G8C1wnIj1c84H+CSw1xqTWIb53gTtdE/FDXe99v5bGZSbOHpo2dVi3Ukr95WlDRCl1KrkGmGuM2WWM2Xf4gXMC8RUi4meMWQocwjms5ovDbzTGLMM5OXsmziE9W3HOe6iWMWY9MA1YgvMKeFecc04OexVnY+NPYCXwOc6r5XbX8quBAGC9a3sfUPMQIgPMBQ7gvAp/JjDGNYzosI9xziFZBXyGc+4DxpgFwDPAeyKSh7NXoa63rn0V+ApYDayg9hP+Y7kC58Txg8CTOBtKJbWU34fz95KG86YDk4wxG8stX4CzN2JBpSFfFRhjfgVGuB7bRSQLmIWzPjDGfAs8DPwPZ89NW+DSOuY0B3gL592wdgDFwG21xFIIPAX84hoq17+O21FKqb8kMUZ7kpVS6kSJ81a2/zbGxB+zcP3XbYAkY8wp890iIvI+sNEYM+UE1rEN5w0BvnVfZEoppbyF9ogopdRxEJFgERktzu8biQGmcHRi/F+Oa2hZW9cwtLNx3mL4oxNY30U4e4q+d1OISimlvIxOVldKqeMjOL9b5H2gCOdwqUc8GpFnReEc2tUC2ANMNsasPJ4VicginPOArjLGONwWoVJKKa+iQ7OUUkoppZRSDU6HZimllFJKKaUanE8NzXrzh60+1b1jETl2oVOExceavCVlvjNapFGQT30McCAtz9MhuE2zyNBjFzqFBPpbPR2C25SU2Y9d6BTib/WdD+miUt+qG1/6jPal8xqAC/rHnxIJnStj3XZ+/IlZ6NacfeeTRymllFJKKXXK8J1mtlJKKaWUUqoCixf3O2hDRCmllFJKKR8lXjwkznubSEoppZRSSimfpT0iSimllFJK+SgdmqWUUkoppZRqcN58tzLvbSIppZRSSimlfJb2iCillFJKKeWjxIv7HbQhopRSSimllI/SoVlKKaWUUkopVU6dekRExA6sAfwBG/AmMMMY4zjRAERkDjAWyDDGdCn3enPgfSABSAXGG2OyT3R7dWUrK+XNqfdit5XhcNjp0GsgQ8+5skKZXVvW8vX8WWTs3cEFN9xLx5RBDRVevdjKSnlj6j3YbGU47HY69hrEsHMr5rJz8xq+nj+L/Xt3cOGN99HJS3MBZz5zn73HWTd2Ox1TBjH8vCsrlSnjozlTSdu5lZDQxoybcD/NWkZ6KOKa2cpKeXv6vdhsZRiHg+SeAxk89ooKZX7/bgGrf/kai8VKSOMmjL7yDpq2iPBQxLXLzcrkf689R0FuDgj0GTqaAWeeX6FM0aF8FsyZQVZmGn7+AVxw3d+JbJ3giXBrZbUI5w9vh9UiWETYtieHP9bvr1AmNNif0/vGEeBvxSKwZE06u/bleyji2vnScZNzMIP/vvocBXk5CNBn2GgGnnVBhTLFhYeY/59nyMnKwGG3M3jUOFIGj/RMwMfgU3VT7jNABHoPHc1plT4DigsP8d9XnyX3YAYOh52BI8eRMvgszwR8DHU5F1j67QJW/fwVFquVkNCmjL3aOz+jfe24yTmYwfxZz1GQlw0IfYePZlClfH78fD6rlnwPgMNuJyNtNw/PnE9IaBMPROw53jw0S4wxxy4kUmCMCXU9jwDeAX4xxkw54QBEhgAFwJuVGiLPAlnGmKdF5D4gzBhzb23revOHrcdOpo6MMZSVFBMQFIzdbuPN5/7BWeMnEtOmw5EyOQf2U1JcyNJvPiSpWz+3N0Tc1ZVWOZfXn72bkZdMonU1uSz55n+079bf7Q0RixuPgQr52GzMffZuzr5kEq3bHs3njx8Wsn/PDsZedRtrf/+RjSt/ZdzE+90WQ0nZCbfBgap1M2/aPZxx8QRiEo/msnPTn0Qntsc/IIgViz9n1+Y1nH9jrYdCvTQKct8Izfycg+TnZhEdn0RJUSH/9/htXH7rI0TExB8p8+X8VwkIDGbEeVeSmb6bhfNe5rp/PO22GA6k5bltXX5WCza7A4vABcPb8fOqNPZnFR5ZPjSlNQeyi1i3/SBhjQMZM7gN8z7f4LbtN4sMddu6vOG4CfS3umU9eTkHyc/JIibBuZ/NfPRWrrx9CpHl9rNFn75LcdEhzh5/IwV5Ocy4/wbuf+E9/Pz83RJDSZndLesB76gbf6t7PqQrfwa88vhtXFHpM2DRwvcoKTrEyItv4FBeDs8/eCP3znjXbXVTVHqS6qaGc4HUTauJSUzGPyCI5T9+xs7Na7jwpvvcFoO7PqO94bhx5xChyvm8NOUWrvrboxXyKW/9yiX8/NWHTLjvObfFcEH/eO8d81TOFf6Xuu38+O2y99yac70/eYwxGcAE4FZxsorIcyLyh4j8KSITD5cVkXtFZI2IrBaRas80jDGLgaxqFp0HvOF6/gZwfn1jPREiQkBQMAAOuw273Q6VfvXNWkYS2TrRq7+xEqrm4rDbqRzy0Vy8t9V8WF3qZtOq3+h+2hkAdEoZxPaNq6lLo7uhVVs3lZKJT+6Gf0AQANGJyeTnHGjwOOuqcbMWRMcnARAYHEJ4q1jycg5WKJOZtos2HXsAEN4qluwD+ynIbbDOznqx2Z0NTotFsFiEKnuQgQB/5zET4G+lsKisYQOsB186bpo0a0FMwtH9LCI6lrzsSseFCCXFRRhjKC0pJrhRYywW9zSE3M2X6qYunwEiHKmbEh+om4Tk7kc+o2MSO5BfeV/0Er523FTOJzw6rmo+5az+bRE9+g9vqPBUHR1XM9sYs11ErEAEzgZDrjGmj4gEAr+IyNdAB9eyfsaYQtdQq/qINMaku57vAxq8D9rhsDP7n38jOzOd3kPHVLhKfapxOOy89tTfyMpMo/fQsad0LuDMZ9YTznz6DBtboXcHnFdKmoaFA2CxWgkKDqGoII+Qxk09EW6tHA47rz99B9mZ6fQaMoboxOQay/7569e06ZzSgNEdv+wD+0jftY3WbSrmExXbhvXLfyGhfRf2bN9E7sH95GYfILRpmIcirZkAF5/ZnqahAazZepCMcr0hAH+s38c5Q9rQtV1L/PwsfPrjds8EWke+dNwclp25j7Sd24htWzGXAaefy5svTOHpOy6npLiQSyc/gMWdXbNu5pN1U8NnQP8R5zLvpUd55u+XU1pcxCWT7vf6uqnrucCqX76mbZfeDRjd8fGV4+awrMx9pO3cWiWfw0pLitm8ZhnnXXVLA0fmHbz5Cw3dEdlZwNUisgpYCrQAkoAzgLnGmEIAY0x1vR51YpyXfaq99CMiE0RkmYgs+2Hhe8e7iWpZLFZuemgmt//rDdJSN5OxN9Wt629IFouVCQ/P5I6n3zzlcwFnPpOmzOTvz576+VgsVq5/4CVueep10lM3k5mWWm25tUt/YN/OrfQ746KGDfA4lBQX8d7LTzLqsokEBTeqsGzw6PEUFxbw8pSb+e27j2kV19Zr/9AZYP43m3lj4Xoim4fQvElQheVJsc3YmJrNm59t4LOfdnB6vzjPBFpHvnTcgHM/e3vmE4y5fFKV/Wzz2uVEx7Xlvuff4bbHX+HTeS9TXHTIQ5Eemy/WzbsvP8noaj4DtqxbTqvYttw7/R1uefQVPn37Fa+vm7qcC6xZ+j3pu7bQ/0zv/oz2peMGXPm89DjnXDG5Sj6HbVj1G/FJnf5yc0MOExG3PdztuP76i0gbwA5k4LxoeJsxpofrkWiM+bqG98WKyCrXY9IxNrNfRFq53tfKta0qjDGzjDG9jTG9h4+99HjSOaagkFDik7uxfd3yk7L+hhQUEkpCcje2+UAucDSfrWsr5tOkWQtyszMB5wS14qJCgr38AygoJJS45G5sX7eiyrLUjatY8uX7XDT5Yfz83TNW92Sx22y89/ITdOs/nM7VzDUKCm7EhTfcxS2PvcJFN/6DQ/m5hIVHeSDSuistc7A3o4C4qMYVXu+Y2IJtu3MA2J9ViNUiBAd6/13RfeG4sdtsvDPzCXoMGEGX3lX3sxU/fU2nlIGICC0iYwgLjyIzfbcHIq0fX6mbd19+gu41fAas+Ll83UQT1jKKA+l7PBBp/dR2LrBjw0p++eJ9xk9+xKs/o33tuLHbbMx76XF6nFZ9PofpsCzvVe+GiIiEA/8GZrp6Kr4CJouIv2t5exFpBHwDXCciIa7XmxtjdpdrsPz7GJv6BLjG9fwa4OP6xnoiDuXnUlxYAEBZaQk7NqyiRVRsQ4bgNpVz2b5hJS2iWns4quNXJZ/1K2lZKZ/2Pfqx+tdvAVi//GcSk7t55Vyewkq5pFZTN/t2b+PLd2Zy0eSHadS4mQeirDtjDAvmziC8VRwDR1Z/VbCosACbzTmXYvniL4lv37XGq1ieFBRgPTL/w2oRWkeGkp1fXKFMfmEpMRHOCeVhjQPxs1ooKrE1eKx14UvHjTGGD+dMJ7xVLIPOrn4/a9oinG3rVwGQn5vNgfQ9NA9v1YBR1p2v1c2xPgOaNY9g2/qVABTkZnNg3x6vvRhRl3OBfbu28fnbMxk/+REaNWnmgSjrxteOG2MMH8yeTkR0HIPPHldjueLCQ+zYtIZOvQY0YHTexeLGf+5W17tmVb5971vAdGOMQ5yzm58EzsHZO5IJnG+MyXXd7epqoBT43BjzQDXrfhcYBrQE9gNTjDGzRaQFMB+IA3bivH1vrcO73HnXrP17dvDpG9MxDgfGGDqmDGLwmMv58ZO3aBWfRPvu/UlL3cwH/36S4sIC/PwDaNQkjIlT/s9dIbjt7hL79+zg49enHcmlU8pghoy9nEWuXJJducz/vycq5DL50WO1FevOnSNv9u/ZwUdzpuFw5dO592CGnnM5P3z8FtHxSST36I+trJQFs6eSvmsbwY0aM27CvYS58cPUXXfNytizg4VvznDVjYMOKYMZNPoyFn86j1bxSSR168e7LzxIZtrOI3MomoSFM27yI27ZPrj3rlk7N6/ltafvJrJ1wpEbH5x50bXkHHReye07fAy7tq7nw9nTAIiIieeC6+4kuFHjGtdZX+66a1aLpkGM6BOHRQCBbbtzWbZhP306R5KZVURqeh5hjQMZ1jsWfz9nrkv+TGP3/gK3bB/ce9csbzhu3HXXrNTNa5n1z7uIKnezkLPGXUfOQWfHeb8RY8nLPsgHr00lPzcLYwxDx1xCz9NOd8v2wb13zfKGunHXXbNSa/gMyC33GZCXfZD/zZlGQU4WBsOQ0ePpMcB9dePOu2bV5Vzg7ecfIHPvThq5PqObNg9n/M0nfFPRI9z1Ge0Nx40775qVunkt/37q7858LM71jhx3/ZF8+o8YC8Cyn75m85o/uPzmB9227cNOlbtmXR94tdvOj+eUvOnWnOvUEDlVuLMh4g28+Zsw68tLpwAcN3c1RLyBOxsi3sCdt+/1NHc2RLyBuxoi3sCdDRFv4K6GiDdwZ0PEG/jSZ7QvndeANkTcwXf2bqWUUkoppVQF3vyFhtoQUUoppZRSykdZvPg74rw3MqWUUkoppZTP0h4RpZRSSimlfJTgvVNZtCGilFJKKaWUj2rIoVkicidwI87vBF4DXGeMKa6pvA7NUkoppZRSSp0QEYkBbgd6G2O6AFag1m8b1x4RpZRSSimlfJSlYYdm+QHBIlIGhABpxyqslFJKKaWU8kENdfteY8xeEZkK7AKKgK+NMV/X9h4dmqWUUkoppZQ6JhGZICLLyj0mlFsWBpwHJALRQCMRubK29WmPiFJKKaWUUj7Knd9ob4yZBcyqYfEZwA5jTCaAiHwInAbMq2l9PtUQcTjc9g32XqGkqNTTIbhNoyaBng7BrQ6+scrTIbiN//W9PB2CWzUOb+TpENzGavGtTmurxXtvIVlfoUH+ng7BrbauSvd0CG4T3zXS0yG4VUig75yqjerV2tMh/CVZGm4A1C6gv4iE4ByadTqwrLY3+M7erZRSSimllKpA3NgjUhtjzFIR+QBYAdiAldTcewJoQ0QppZRSSinlBsaYKcCUupbXhohSSimllFI+qgGHZtWbNkSUUkoppZTyUe6crO5u3ttEUkoppZRSSvks7RFRSimllFLKRzXUFxoeD22IKKWUUkop5aN0aJZSSimllFJKlaM9IkoppZRSSvkonxyaJSIFxpjQEw1AROYAY4EMY0yXcq9fDDwKdAT6GmNq/WZGd7OVlTJv+r3YbWU4HA6Sew5kyNgrKpT5/bsFrPrlaywWKyGNmzDmyjto2iKiIcOsE1tZKe+9/CB2mw2Hw077bgMYePZlFcqs/f17flz4BqFNmwPQc+BouvU/0xPhHpOtrJS5z97jrBu7nY4pgxh+3pWVypTx0ZyppO3cSkhoY8ZNuJ9mLb3z23Zvmjaa0mIbxmFwOBzMm/JdheV9Rren44B4ACxWoXl0E1655WOKD5V5Itxa2cpKeWPqPdgO102vQQw7t2Ld7Ny8hq/nz2L/3h1ceON9dEoZ5KFoa2crK+XNqfeWy2UgQ6vkspZvjuRyLx29NBeA3KxM/vfacxzKywGB3kNGM+DM8yuUKTqUz0dzZ5CVmYaffwDnX/t3IlsneCLcWuUczOD9Wc9RkJsNIvQbNppBIy+oUObHz+azcsn3ADjsdjLSdvPIy/MJCW3iiZBrlXMwg/f+8yz5udmICP2Gj2bwyAurlNu2YTUfz3sFh91Oo9AmTH5ougeirRsRuOKCLhQcKuWjrzZXWNaraxRdO0TgcBiKisv46sft5BeUeijS2uUczOC/rz5HQV4OAvQZNpqBZ1Xc14oLDzH/P8+Qk5WBw25n8KhxpAwe6ZmAa5F9MIO3X3nauZ8hDDh9DENHXVShzJb1q5g99RGaR0QB0K3PIM6+6GpPhKvcyCI+2BBxo9eBmcCblV5fC1wI/KehAwKw+vlz+d/+SUBQMHa7jbem3UPbzinEJHY4UiaydVuuu28G/gFBrFj8OT8smMv5N97riXBrZfXzZ/zkxwkIdOby7swHSOzYi+j45ArlknsM5IwLJ3goyrqz+vlzzV3/ctaNzcbcZ+8mqUtvWrc9Wjcrf/6KoJBQbv/nbNb+/iPf/m8O4ybe78Goazf/X4soquEP8R+fb+aPz51/yNv0aEXvs9t7ZSMEnHVz1Z3/OnLcvP7s3bTr0pvWbY7WTdPmEZx77d9Z8s3/PBjpsVn9/LnyzqOfAW88+w/aVsklnHOuvZPfvvnQg5HWjcVi4exLbiI6PomSokL+/cRttO3ck4jo+CNlFn/2HlGxbbjs1kfITN/Nwnkvc90/nvZg1NWzWK2MvWwCMQnOXF585BaSuvQiMuZoLkPHjGfomPEArF+5hJ+//NArGyHgyufyibROSKK4qJAXHrmZ9l1SKuRTdKiAD19/kRv/8S/CWkY4G2FerGeXKLJyigjwt1ZZlnmgkLc/XIvN7qBbxwiG9Ivjs++2eiDKY7NYrYy+9Oi+NvPRW2nXueK+9tt3nxARE8fVdz5OQV4OM+6/ge4DRuDn5+/ByKuyWKycd+UkYhPbU1xUyLQHJpHcNYWoShcb2nTowoR7/umZINVfzgk1kUQkVES+E5EVIrJGRM5zvZ4gIhtE5FURWSciX4tIcHXrMMYsBrKqeX2DMWbTicR3IkSEgCBnyA67DYfdDlSc7BOf3A3/gCAAohOTycs50NBh1omIEBB4OBc7DrsdwXsnLh1L5bqx2+2Vq4ZNq36j+2lnANApZRDbN67GGNPQobpdxwFxbPhtl6fDqFF1x03lOXLNWkYS2ToR8eIrNFDfXLz/eGrcrAXR8UkABAaHEN4qlrzsgxXKZKTtIrFjDwDCW8WSc3C/V57wNmnWgpiEo7lERMeRm13z5+/qJYvo3n94Q4VXb02ataC1K5+gw/lkVcxn5ZLv6dp7EGEtnb3uoU3DGjzOugptFECbuGas2ZhZ7fLd6XnY7A4A0jMKCG0U0JDh1UvVfS2WvMr7mgglxUUYYygtKSa4UWMslqoNME9rGtaC2MT2gHM/i4yJr7KfKd9kQdz2cLcT7REpBi4wxuSJSEvgNxH5xLUsCbjMGHOTiMwHLgLmneD2GpTDYWfu03eQnZlOypAxxCQm11h29a9f07ZzSgNGVz8Oh523ZtxNzoF99Bg4ilbx7auU2fLnb+zZvp6w8GiGn3s9TcJaeiDSunE47Mx64m9kZabRZ9jYClepAfJyDtI0LBxwXtEKCg6hqCCPkMZNPRHuMY27ZwjGwJ8/bOPPRTuqLeMXYCWhaxTfvbmigaOrH4fDzmtPOeum99CxFXoRTzUOh53ZT/2NrMx0eg8dc0rnUl72gX2k79pG6zYVP9OiYtuwYcUvJLTvwp7tm8g9uJ+87ANefdKblbmPvTu3Ete2+ropLSlm05plnHf1LQ0c2fHJytxH2s6txLWrmE/mvj3YbTb+76m7KCkuYtDIC+g9yDuHzw4bEM/ipbuq7Q2prGuHcFJ355z8oNwgO3MfaTu3EVtpXxtw+rm8+cIUnr7jckqKC7l08gNYLN59oeVg5j72pG4lvl3HKstSt6zn2XtvoklYC867YhKtYhMaPkDlVt584e9EGyIC/FNEhgAOIAY4PBB/hzFmlev5ciDhBLdVfQAiE4AJANfc8TjDxl7qtnVbLFZueOAligsL+N9/niIzLZXw6IQq5dYu/YF9O7dyxZ3eN4ThMIvFyjV3zaC46BAfz32azPSdhLc62rXctnNvOvQajJ+fP6uXfMUX773AJZOf8GDEtbNYrEyaMpPiwgLef+VJMvamEhGT4Omwjsu7T35PQXYxIY0DGXfvELLS89mzqepVqrY9W5G25YDXDss6zGKxMuFhZ93M/79Tu24sFis3uXL57ymey2ElxUW898qTjLp0IkHBjSosGzx6PF+8+29eefRmImMSiIpri3jxCVVJcRHzXnqcc6+YXCWXwzas/I2EpE5eOyyrvJLiIt58sfp8HHY7e1O3MPG+ZykrK2XmY7cT37Yj4a1aeyja6iXGNaOwqIyMA4W0btW41rId27UgsmUo8z9d30DRHb+S4iLenvkEYy6fVKVuNq9dTnRcW26891myMtKY89z9JCR3qXGf9LSS4iLmzniUC66+maCQijHGJiQx5aV3CQwKZv3Kpcye/ggPzag8cl4p9znRvzBXAOFAijGmB7AfCHItKylXzg74iUisiKxyPSad4LYBMMbMMsb0Nsb0dmcjpLygkFDik7uxfV3VK9E7Nq7i1y/fZ9zkh/Hz967xoNUJCm5EbLsupG5cWeH14EZNjoxn7drvDPbv2e6J8OotKCSUhORubF27vMLrTZq1IDfbOSzAYbdTXFRIsJeeiBRkFwNQmF/C1uV7iWrTvNpyHfp597Csyg7XzbZ1y49d2Msd/gw41XOx22y898oTdOs3vNqbBAQFN+KC6+/i5kdf4cIb/0Fhfi5h4VEeiPTY7DYbb734OD0GjKBLn5pvErB6qXcPyzrMbrPx5ouP0fO0EXTtM7jK8qbNw2nftTcBQcE0atyUxORupO3a5oFIaxcT2Zi28WHccFkPxpzejtiYJowa3rZKubiYJvTtGcNHX23C7vDuYbN2m413Zj7h3Nd6V93XVvz0NZ1SBiIitIiMISw8isz03R6I9NjsNhtzZjxKysDT6d636n4WFNKIQNeQ1E49+2G32SjIy23oMJWbefPQrBNtiDTFeberMhEZDsTXVtgYs9sY08P1+PcJbvukKszPpbiwAICy0hJ2bFhJ86iKV5727d7Gl+/MZNzkh2nUuJkHoqybwoJciosOAVBWVsLOzatpHhlToUxB3tFpOtvW/UGLCO+6ylbeoUp1s339SlpWqpv2Pfqx+tdvAVi//GcSk7t55Th+/wAr/kF+R57Hd4nkwJ6qH/oBwX607hDOtuVpDR1ivVSpmw0raRHlvftSbSrnsmPDKlpGxXo4quNnjOGj12cQ3iqOgSMvqrZMUWEBNpuzx2354i+Jb9/VK6/qGmP4YPZ0IqLjGDJqXI3ligoPsX3jGjqnDGjA6OrPGMP816YRER3H0Bry6dxrAKmb12K32yktKWbXto1ERsc1cKTH9vMfu3n1nZXMfncVn323ld178/jih4oNpvAWIZwxOJGPv9pEUbHNQ5HWjTGGD+dMJ7xVLIPOrv64adoinG3rVwGQn5vNgfQ9NA9v1YBR1o0xhndnTSUyOo7hYy6utkxeTtaR+ZQ7t27EGEOjxt55EU/VnUUsbnu423ENzRIRP5w9Hm8Dn4rIGmAZsPE41vUuMAxoKSJ7gCnGmNkicgHwEs4el89EZJUxpsHuh1eQm8XCN2fgcDgwxkHHlMEkde3L4k/n0So+iaRu/fjhwzmUlhSz4DXnkKwmYeFcPPmRhgqxzg7lZfPFuy/iMM5ckrsPpG2nPvz85TtEtW5Huy59WfHTZ2xb9wcWi5WgkFDOvvQ2T4ddo4LcLD6aM81VN4bOvQfTvns/fvj4LaLjk0ju0Z9eg0ayYPZUXnzgBoIbNWbcBO+7mxlASNMgzvvbaQBYLMKGJbtIXbOf7sPbALD6B2fPVFJKDDvX7qOs1O6xWOuiIDeLj1+fhnHVTaeUwbTv1o9Fn7xFq/gkkrv3Jy11M/P/7wmKCwvY8udSfvx0HpMf9b7rEgW5WXzy+vQjuXRMGURSt74s+sS5n7V35fLf/3vSlcvv/Pjp20x69P88HXq1dm1dx+ol3xHZOoFXHr0ZgDMuvJbcLGfPYZ9hY8hM28WCOdMAiIiJ5/xr7/RYvLVJ3byOFb98S1RsIs8/5OxcP/vi68k5mAFA/xFjAVi3/BeSuvQ6crMOb1U+n+kPTgRgVLl8Bpx+DpEx8SR368P0ByYgYqHfsFFExSZ6Mux6OS0lhn0HDrF9Zw5D+sXh72dl7BnOSeD5h0r5uNItfr3Fzi3rWPnrd0S1TuSlhycDcNa4647UTb8RYxlx7hV88NpUXnhoIsYYRo6/gUZeOB9xx6a1LPvpG1rFJvLsfc47ZI695AayDzhzGXjmOaxeuphfvvkEi9WKf0Ag19z+kFdexFO+Q47nTkIi0h141RjT1/0hHb/Xv9vi3f279VRW5N1zAeqjUZNAT4fgVmmvefeE8fqIur6Xp0NwK4PvfAwE+HnfnXdORKC/9843qS+Lj52cbV2V7ukQ3Ca+q3d+Z9TxCgn0hm9acI9RvU7NHvJanBIfBI83e9htfxgfyXnCrTnXe+92ze24HbjDnYEopZRSSiml3Mzive2lejdEXHM7vG8chVJKKaWUUuqU4Tv9fUoppZRSSqmKvHgoqTZElFJKKaWU8lHixUOzfGfmoFJKKaWUUuqUoT0iSimllFJK+SodmqWUUkoppZRqcDo0SymllFJKKaWO0h4RpZRSSimlfJUX94hoQ0QppZRSSikfJTpHpGG47fvrvURpfomnQ3CbsqIyT4fgVlHX9/J0CG7j7+dbIzStXnzl568u95DvfA4EBVg9HYJbxXSK8HQIbpNf6Dv7GcBFAxI8HYJSJ41PNUSUUkoppZRS5XjxBTptiCillFJKKeWrvHholm+NyVBKKaWUUkqdErRHRCmllFJKKV+lQ7OUUkoppZRSDU68dwCU90amlFJKKaWU8lnaI6KUUkoppZSPEh2apZRSSimllGpwXtwQ0aFZSimllFJKqQZXrx4REbEDa8q9dL4xJrWGsouAu40xy46xzluBO4C2QLgx5oDr9Q7AXKAX8KAxZmp9Yj1RtrJS3p5+LzZbGcbhILnnQAaPvaJCmZWLP2fF4s8Qi4WAwGDOvvxWWraKa8gw68RqES44IwmrxYLFAtt25fD72n0VyoSG+HN6/3gCA6yICL+tSmNnep6HIq6d1SKcP7wdVotgEWHbnhz+WL+/QpnQYH9O7xtHgL8Vi8CSNens2pfvoYhrZisr5Y2p92CzleGw2+nYaxDDzr2yQpmdm9fw9fxZ7N+7gwtvvI9OKYM8FO2x5WZl8r/XnuNQXg4I9B4ymgFnnl+hTNGhfD6aO4OszDT8/AM4/9q/E9k6wRPh1irnYAYfvPYcBXk5CNBn6GhOO+uCCmWKCw8xf9Yz5GZl4LDbGXT2OFIGj/RMwMfgS/nYykp5a9q92G1lOBx2OvQcyJBzKh43S79dwKpfvsJitRIS2pSxV91B0xbe+e3hvnTc+FIu4NzX5k0/vK85zwWGVDoX+P27Baz65WssFishjZsw5krv3dfUX1QDfY+IiCQD75d7qQ3wiDHm+RrfY4ypzwYKjDGhdSy7iLo1RHoC2cAioHe5hkgEEA+cD2TXpSEy97stdU/mGIwxlJUUExAUjN1uY960ezjj4gnEJHY4UqakqJDA4BAAtvy5lBWLP+OSWx93VwgUZhS4bV3+fhbKbA4sAhee0Z6fVuxh/8HCI8uH9YklM7uIdVsPENYkiLFD2/DWp+vdtn3xc2/nm5/Vgs3uzOeC4e34eVUa+7OO5jM0pTUHsotYt/0gYY0DGTO4DfM+3+C27TcJr9NhcEyV97PXn72bkZdMonWbo/tZzoH9lBQXsuSb/9G+W3+3N0T83Vg3+TkHyc/NIjo+iZKiQv79xG1cdusjRETHHynz1fxXCQgMZvh5V5KZvpuF817mun887bYYrG7qgs7LOUh+ThYxCc5cXn7sVq68bQoRMUdzWbTwXYoLD3H2+Bs5lJfDjAdu4L7n38PPz98tMbiTN+RzqNjmlvVUPm7emvoPzrx4IjHljpvUTauJSUzGPyCI5T9+xq4ta7jgxvvcsn2AoACr29blDceNu3hDLkUl7tnPoJp9bdo9nFnpXGDnpj+JTmyPf0AQKxZ/zq7Nazj/xnvdFsO1pye5bV3K7bx3zFM5T3WY5rbz4wc33lWnnEXECuwF+hljdtZU7oTPQEQkRUR+FJHlIvKViLQqt/gqEVklImtFpG917zfGrKyuV8UYk2GM+QMoO9EYj4eIEBAUDIDDbsNhtyOV9rfDjRCAspLiKsu9SZnNAYDFIlhqOFEL8Lcc+f9QkUd+7XVms1fMp8oRZsrnY6XQS/Opdj+rVD3NWkYS2ToR8eLb7x3WuFkLouOdfzQDg0MIbxVLXvbBCmUy0naR2LEHAOGtYsk5uJ+C3OyGDvWYmjRrQUxCpVxyDlQoIwglxUUYYygpKSa4UWMsFvedoLqTL+VT+bix2+1VTgcSkrvjHxAEQEybDuRnH6i8Gq/hS8eNL+UC1X9GV97Z4pO7HdnXohOTqxxXSv1FnQ5sq60RAvWfrB4sIqtcz3cA44GXgPOMMZkicgnwFHC9q0yIMaaHiAwB5gBd6rk9j3I47Lz+9B1kZ6bTa8gYohOTq5RZ/uNC/vjuI+w2G5fd8ZQHoqwbERg/MpmmoYGs2XKgQm8IwO9r0jl3eDu6tQ/Hz8/CJ99v9VCkdSPAxWe2p2loAGu2HiQjq2I+f6zfxzlD2tC1XUv8/Cx8+uN2zwRaBw6Hndee+htZmWn0Hjq2wpW2U1n2gX2k79pG6zYVj5uo2DZsWPELCe27sGf7JnIP7icv+wChTcM8FOmxHc2lYt30P/1c3npxCk/feTmlxYVcMvkBLBbvbzD6Qj4Oh505//ob2ZnppAwdU+txs/qXr2nTuXcDRnf8fPO4ObVzcTjszHWdC6QMGUNMNecCh63+9Wvadk5pwOiUOjZx49AsEZkATCj30ixjzKxqil4KvHus9dX3L0yRMaaH63EBkIyzcfGNq4HyENC6XPl3AYwxi4EmItKsnts7JhGZICLLRGTZooXvuXXdFouV6x94iVueep301M1kpqVWKZMydCyTHn+NYRdcy69fvF91JV7CGHj/y028/vE6IlqE0LxpUIXlSfFhbNyRxRsfr2Phom2cMSC+hjV5BwPM/2YzbyxcT2TzEJo3qZRPbDM2pmbz5mcb+OynHZzez/vm7hxmsViZ8PBM7nj6TdJSN5OxN9XTIZ2wkuIi3nvlSUZdOpGg4EYVlg0ePZ7iwgJeefRmln73MVFxbREvPdkFZy7vzHyCMZdNqpLLlrXLaRXXlvtmvMOtj73CwnkvU1x0yEOR1o2v5GOxWLnxwZnc9s83aj1u1i79nvSdW+h/5kUNG+Bx8LXjxldysVis3PDAS9z61Ouk1XAuALB26Q/s27mVfmd4/76m/mIs4raHMWaWMaZ3uUeVRoiIBADnAv89VmgnevteAdYZYwbUsLzyiBkjIl8BkcAyY8yNJ7h9XL+AWeDeOSLlBYWEEpfcje3rVhAenVBtmU4pQ/j63VdOxubdqrTMzt79BcS1akJWbvGR1zu1bcGni7YBsP9gIVarheBAP7eOtT0ZSssc7M0oIC6qMVl5R/PpmNiChT85e0H2ZxVitYjX5xMUEkpCcje2rVtOREyCp8M5bnabjfdeeYJu/YZXO58lKLgRF1x/F+Acfz3j3msIC49q6DDrxG6z8c7MJ+g+YASde1fNZfnPXzN0zHhEhBaRMYS1jCIzfTexbbyzV8vX8gHncRPfvhvb11c9bnZsWMkvX77PlXc+g5+/983bKc/XjhtfyaW8oJBQ4ms4F9ixcRW/fvk+V/z9aa/f15RqAKOAFcaY/ccqeKKXIDYB4SIyAEBE/EWkc7nll7heHwTkGmNyjTEjXT0qJ9wIOZkK83MpLnROFi8rLSF1w0paRLWuUCYrY++R51vX/kFYRHSDxlhXQYF+BPg7x3lbrUJsVGOyy520A+QfKqN1ZGMAwpoE4mexeO1Je1CA9cj8D6tFaB0ZSnZ+pXwKS4mJcE4oD2sciJ/VO/M5VGk/217NfnYqMcbw0eszCG8Vx8CR1V8VLCoswGZzztlZvvhL4tt3rXLF1BsYY/hw7nQiomMZVEMuzVqEs239KgAKcrPJ3LeH5uGtqi3rab6UT+XjZseGVbSIiq1QZt/ubXzxzkwunvwIjZo080CUdedrx42v5AJVzwV2bFhJ80qf0ft2b+PLd2YybvLDNGrczANRKnUMIu571M1l1GFYFrjhrlki0gN4EWiKs4fleWPMq667Zq0ChgL+wPXGmN+rWeftwD1AFJABfG6MuVFEooBlQBPAARQAnYwxNd5T1p09Ihl7drDwzRkYhwNjHHRIGcyg0Zex+NN5tIpPIqlbP76Z/x92blqNxWolKDiUMy+ZRHi0+4Y0ueuuWS2aBXF6/3hEnNPpt+7KYdm6ffTtGkVGViGpe/MIaxLE8L6x+PtZAcOvq9LY7cbb3brzrlktmgYxok+c8/t5BLbtzmXZhv306RxJZlYRqel5hDUOZFjv2CN3hFryZxq797vvLmTuumvW/j07+Pj1aa79zNApZTBDxl7Ook/eolV8Esnd+5OWupn5//cExYUF+PkH0KhJGJMf/bdbtg/uvWvWzi1rmf303US2Tjgyuf6MC68lNysTgD7DxrBr63oWzJkGQERMPOdfeyfBjRq7LQZ33TUrdfNaXv3XXa4bBTjXedZF15GTlQFAv+Fjycs+yP9mTyU/JwuDYejoS+hx2ulu2b67eUM+7rprVsaeHXz6xnQcxoFxGDqmDGLwmMv58dO3aBWXRPvu/Xnn+QfISNt5ZN5B07BwLr55ilu2D+69a5Y3HDfu4g25uPOi0+FzAYfrXKBjNecC777wYIV9rUlYOBdPfsRtMehds7ya996lqJx/dnvBbefHD/z5t1pzFpFGwC6gjTEm91jrq1dDxNudrKFZnuLO2/d6mrtv3+tp7mqIeAN3NkS8gbsaIsr93NUQ8QbubIgo9/LG3u8ToQ0Rr3ZK/MFpyIZIfZ3oHBGllFJKKaWUt/LiC3TaEFFKKaWUUspHufP2ve7mW2MylFJKKaWUUqcE7RFRSimllFLKV+nQLKWUUkoppVSD06FZSimllFJKKXWU9ogopZRSSinlq3RollJKKaWUUqqhefNds7QhopRSSimllK/y4h4RnSOilFJKKaWUanA+1SNiHG77BnuvUFpQ6ukQ3KZx66aeDsGtbHaHp0NwG6vVe6+UHI8Ai+9cX3EY3/pMCw32nT85flbf2c8AAv19J59LBiV6OgSlvIsX94j4zl8FpZRSSimlVEVePEfEdy6BKKWUUkoppU4Z2iOilFJKKaWUr9KhWUoppZRSSqmG5s2379WhWUoppZRSSqkGpz0iSimllFJK+SodmqWUUkoppZRqcDo0SymllFJKKaWO0h4RpZRSSimlfJUOzVJKKaWUUko1OO9th9S9ISIiBnjbGHOl62c/IB1YaowZe7wBiMiXQH/g5/LrEZFbgTuAtkC4MebA8W7jeNjKSnnn+fuw2cpw2O0k9xzI4DFXVCiz8qcvWLH4MywWC/6BQZx92a20bBXXkGHWiwhcfn4XCgpL+firzRWW9eoaRZfkCBwOQ1FxGV8v3k5+QamHIq2drayUd196ALutDIfDTvvupzFo1OXVlt20+lc+mfsMV/19KlFxSQ0c6bHZykqZN/1eVy4OknsOZMjYivvZ798tYNUvX2OxWAlp3IQxV95B0xYRHoq4dmVlpcx95h9H6qZTyiCGn3dVhTK2slIWzJ5G2s4thIQ2YdzE+wlrGemhiGuWczCD+bOeoyAvGxD6Dh/NoLMuqFDmx8/ns2rJ9wA47HYy0nbz8Mz5hIQ28UDEtcs5mMF/X32OgrwcBOgzbDQDK+VTXHiI+f95hpysDBx2O4NHjSNl8EjPBFwLX8oFnPm8959nKcjNRkToN3w0g0ZeWKHMos/ms/LX7wBw2B1kpO1iyiv/9bp9LftABvNeeZp8Vy4DRoxh2OiLqi27c9tGnn/4Nq65/SF69B/awJEqpbxBfXpEDgFdRCTYGFMEnAnsrc/GRMTPGGOr9PJzQAgwsdLrvwALgUX12Ya7WP38ufT2pwgIDMZut/H29Htp0ymFmMQOR8p06j2UnoNHAbDlz6V8/+Fsxt/ymCfCrZOeXaLIyikiIMBaZVnGgULeWb8Wm91Bt44RDO4bx+ffb/VAlMdm9fPnklueOFI3775wH206phCdkFyhXGlxISt+/JRW8e09FOmxWf38ufxv/yQgyJnLW9PuoW3nivtZZOu2XHffDPwDglix+HN+WDCX82+814NR18zPz59r7n6awKBg7DYbc565m3ZdehPbtuORMit+/pqgRqH87V9zWPP7Ir79YA4XT7rfg1FXz2K1MuayCcQkJFFSVMhLU24hqXMvImPij5QZOno8Q0ePB2D9yiX8/NWHXndieJjFamX0pUfzmfnorbSrlM9v331CREwcV9/5OAV5Ocy4/wa6DxiBn5+/ByOvypdyAWc+Yy+fSOuEJIqLCnnxkZtJ6pJSIZ9hY8YzbIxrX1uxhJ++9M59zWK1cv5Vk4hNbE9xUSFT759Eh24pRLVOqFDO4bDz6Tuvktytt2cCVeqvxIcmq38OjHE9vwx49/ACEekrIktEZKWI/Coiya7XrxWRT0Tke+C7yis0xnwH5Ffz+kpjTGo943MbESEgMBgAh92Gw26r8oUwgcEhR56XlRZ7dddXaKMAEmObsXZTZrXL96TnYbM7AEjPKKBxo4CGDK9eKtaNHbvDXm25nz9/h76nX4Sfn5fnElR+P7NTeUeKT+6Gf0AQANGJyeTlNGjnYL2ICIGufOx2G/ZqjptNq5bQ47QzAOiUMpjtG1dhjGnwWI+lSbMWxCQ4e9ECg0MIj44jL7vm3/3q3xbRo//whgqv3irnExEdWzUfEUqKizDGUFpSTHCjxlgsVS9ceJov5QLOfFq78gkKDiEiOo7crJr3tVW//UCPAd65rzUNa0FsovPiT1BwCJEx8eRUk8viLz+ie9/BNG7SrIEjVOqvRyzitoe71XeOyHvAIyKyEOgGzAEGu5ZtBAYbY2wicgbwT+Bwf2wvoJsxJssNMTcYh8POG8/cSXZmOr2GjKlyxR1gxY+f8ccPH2G32bj09qc8EGXdDOsfz0+/7yLA/9h/iLskh7NjT87JD+oEOBx23px6FzkH0uk5aHSVutm/ext5OQdo27k3f3y/wENR1o3DYWfu03eQnZlOypAxxCRW3c8OW/3r17TtnNKA0dWfw2HnP0/cTlZGGn2Hj6V1mw4VludlH6RJWEsArFYrQcEhFBbk0ahxU0+EWydZmftI27mV2LYdql1eWlLM5jXLOO+qWxo4suOTnbmPtJ3bquQz4PRzefOFKTx9x+WUFBdy6eQHsFi8++aKvpQLHN3X4trVvK9t+nMZ5199awNHVn8HM/axJ3UrCe06Vng9JyuTP//4mVsfnsaubc95KDqllDeo16eyMeZPIAFnb8jnlRY3Bf4rImuBGUDncsu+OVmNEBGZICLLRGTZj5+979Z1WyxWrrv/RW5+ci7pOzeTmbazSpleQ8cw8dFXGXbeNSz50r3bd5fEuGYUFpeRcaDwmGU7tGtBZMtQlq9Ob4DIjp/FYuXae55n0qOzSd+1mcz0o3VjHA5++GgOw8+7zoMR1p3FYuWGB17i1qdeJy11M5lpqdWWW7v0B/bt3Eq/M6ofb+0tLBYrk6e8zN+fe4u9Ozazf2+qp0M6ISXFRbz90uOcc8VkgoIbVVtmw6rfiE/q5JVDZSorKS7i7ZlPMObySVXy2bx2OdFxbbnv+Xe47fFX+HTeyxQXHfJQpMfmS7mAM5+3Xqx9X1u/8jcSkjp7/b5WUlzEnBmPcuE1NxMUUjGXBW+8wrmX33RKNAyV8gnixoebHc+nwCfAVMoNy3J5AvjBGNMFOAcIKrfsEICI9BORVa7HuccTcGXGmFnGmN7GmN5Dx1zijlVWERQSSlz7rmxfv7zGMh1ThrD5z99OyvZPVHRkY9rEhXH9pT0YPaIdsdFNOHtY2yrl4qKb0LdHDB9/vQm7w/uGylQnKCSUuHZd2bFhxZHXSkuKOLBvJ+/NfIj/PHYTaTs38eFrT7Fv1xYPRnpsQSGhxCd3Y/u6FVWW7di4il+/fJ9xkx/Gz9/7xrhXJzgklIQO3di6dlmF15uEtTgyjMZut1NcVOi1J1V2m415Lz1Oj9NG0KX3oBrLefuwrMPsNhvvzHyCHgOqz2fFT1/TKWUgIkKLyBjCwqPITN/tgUiPzZdyAWc+b734GD1PG0HXPoNrLLf6t0VeOyzrMLvNxpzpj9J70Ol071s1l13bN/PGC0/y2K2Xs2rpYv4750X+/ONnD0Sq1F+EiPsebnY8t++dA+QYY9aIyLByrzfl6OT1a6t7ozFmKdDjOLbZ4Arzc7FYrQSFhFJWWkLqxlVVrkRnZaTRPCIagG3rltE8PNoToR7TL3/s5pc/nH+AW7dqTEq3Vny5aFuFMuEtQjh9cCILvthIUXHl+wl4l8KCXCyWcnWzeTX9Tj96h5nA4Ebc+tS8Iz+/99KDDDvvWq+8a1bl/WzHhpX0P2tchTL7dm/jy3dmcsmtj9GocTPPBFpHh/JzsFj9CHbls339SgaefXGFMsnd+7Pq12+JbduR9ct/IrFD9yrzSLyBMYYPZk8nIjqOwWePq7FcceEhdmxaw6WTvPMGAocZY/hwznTCW8Uy6Ozqe9Watghn2/pVJCZ3JT83mwPpe2ge3qqBIz02X8oFnPn897VpRETHMWRUzftaUeEhtm/8k8u8eF8zxvDuf6YSGRPH8DEXV1tmyktvH3n+9ivP0LlXf7r1qbmhr5TyXfVuiBhj9gAvVrPoWeANEXkI+Kyu6xORn4AOQKiI7AFuMMZ8JSK3A/cAUcCfIvK5MebG+sZ7vArysvjsrecxDgfGOOjQaxDtuvblp4XziIpLIqlbP1YsXkjqxlVYrX4EhYQy+uo7Gio8txiQEsP+zENs35XDkH5x+PtZGXOG82Q9v6CUT77efIw1eEZBXjZfvP08DocDjCG5x0Dadu7Dz5+/TVRcO9p16efpEOusIDeLhW/OwOHazzqmDCapa18WfzqPVvHO/eyHD+dQWlLMgteeBqBJWDgXT37Ew5FXLz8nm4/mTHXlY+jcZzDJ3fvx/UdvEp3Qng49+tNz8EgWvPYcL9x/PcGNGjNu4n2eDrtaO7esY+Wv3xLVOpEXHp4EwMhx15NzMAOA/iOcdxtfu/wXkrr0OnIDBW/lzOc7olon8tLDkwE4a9x1R/LpN2IsI869gg9em8oLD03EGMPI8Td45dwdX8oFIHXzOlb88i1RsYnMeNB5A8mzLz66rw04/RwA1i37mfZdUo7c4MIbbd+0lj9++oZWcYk8e+8EAMZcegPZB5y5DDrzHE+Gp9Rfkxd/oaF4491qjtecbzb7TjJAbmq2p0Nwm8atvfME4Hj5VXML5FNVoA/lAhBUhxsynCocPvT57Gv8rL41vyHQ33fyObtna0+HoP46vPcMv5xnz3nLbX9M7vn0Krfm7DufPEoppZRSSqlTxvHMEVFKKaWUUkqdCrxwHuZh2hBRSimllFLKV3nx+CcvDk0ppZRSSinlq7RHRCmllFJKKV/lxUOztEdEKaWUUkopHyUibnvUYVvNROQDEdkoIhtEZEBt5bVHRCmllFJKKeUOLwBfGmPGiUgAEFJbYW2IKKWUUkop5asaaGSWiDQFhgDXAhhjSoHS2t6jQ7OUUkoppZTyVRZx20NEJojIsnKPCeW2lAhkAnNFZKWIvCYijWoLzad6RIzd4ekQ3CqwWZCnQ3Abi59vtXmbhQZ4OgS3KSnzrePG5mOfA77EYvHeCZP15UOpAPpt5EqpujHGzAJm1bDYD+gF3GaMWSoiLwD3AQ/XtD7fOjtUSimllFJKHSXivkft9gB7jDFLXT9/gLNhUiNtiCillFJKKeWrxI2PWhhj9gG7RSTZ9dLpwPra3uNTQ7OUUkoppZRSHnMb8LbrjlnbgetqK6wNEaWUUkoppXxVA05qM8asAnrXtbw2RJRSSimllPJVXnxzDZ0jopRSSimllGpw2iOilFJKKaWUrzr23a48RhsiSimllFJK+Sjx4i8+0qFZSimllFJKqQanPSJKKaWUUkr5Ku/tEDm+hoiInA8sADoaYzYe78ZF5FbgDqAtEG6MOeB6vQMwF+e3MT5ojJl6vNs4XrayUt558QHstjIcDjvJ3U9j0OjLqy27adWvfDz3Ga66ayqt4pIaONJjs1qE84e3w2oRLCJs25PDH+v3VygzsHs0MRGhAPhZLQQH+jH747WeCPeYbGWlvPP8fdhsZTjsdpJ7DmTwmCsqlFn50xesWPwZFosF/8Agzr7sVlq2ivNQxDXLOZjB+7OeoyA3G0ToN2w0g0ZeUKHMj5/NZ+WS7wFw2O1kpO3mkZfnExLaxBMh1yo3K5P/vfYch/JyQKD3kNEMOPP8CmWKDuXz0dwZZGWm4ecfwPnX/p3I1gmeCLdWOa5cCnJzEIHeQ0dzWjW5fDjnaC4XXueduYBv5ZNzMIP/vvocBXk5CNBn2GgGnlXxuCkuPMT8/zxDTlYGDrudwaPGkTJ4pGcCPoacgxm8++9nyc/NRkToP3w0g8++sEq5retX88m8V7Db7TRq3ISbH5rugWiVUqccH5wjchnws+v/KXV9k4hYjTH2ci/9AiwEFlUqmgXcDpx/nPGdMKufP5fe+gQBgcHY7TbeeeE+2nRKITohuUK5kuJCli/+lFbx7T0U6bHZHYaPF23DZndgEbhgeDt27ctnf1bhkTK/rE478rxru5a0bBbsiVDrxOrnz6W3P3Wkbt6efi9tOqUQk9jhSJlOvYfSc/AoALb8uZTvP5zN+Fse81TINbJYrYy9bAIxCUmUFBXy4iO3kNSlF5Ex8UfKDB0znqFjxgOwfuUSfv7yQ69shABYLBbOvuQmouOd+fz7idto27knEdFH81n82XtExbbhslsfITN9Nwvnvcx1/3jag1FXz2qxMKpcLq88fhvtOvUkolzd/PjZe7SKa8MVtzlz+XTey1zvhbmAb+VjsVoZfenR42bmo7fSrnPF4+a37z4hIiaOq+98nIK8HGbcfwPdB4zAz8/fg5FXz2Kxcs7lE2mdmERxUSHPP3wzSV1TiCqXT9GhAj58/UVuuudfhLWMID8324MRK6WUe9R7joiIhAKDgBuAS12vDRORxSLymYhsEpF/i4jFtaxARKaJyGpgQPl1GWNWGmNSK2/DGJNhjPkDKKt/Su4hIgQEOk/GHXY7dru92nI/f/4O/U6/CD//gIYMr95sdgcAFotgsQimlrJJsc3Ysst7/8hVrBsbDrsNqdTaDwwOOfK8rLTYa7slmzRrQUyCsxctMDiEiOg4crMP1Fh+9ZJFdO8/vKHCq7fGzVoQHX80n/BWseRlH6xQJiNtF4kdewAQ3iqWnIP7nT1CXqbaXHKq5tKmXC7ZB7wzF/CtfKoeN7HkVT5uRCgpLsIYQ2lJMcGNGmOxWD0Q7bE1CWtB60RnPkHBIURGx5GXVTGfFb9+T9c+gwhrGQFA46ZhDR6nUuoUZRH3PdzseHpEzgO+NMZsFpGDIpLier0v0AnYCXwJXAh8ADQClhpj7nJHwA3J4bDz5tS7yM5Mp+fg0VV6Q/bt3kZ+9gHadu7N798v8FCUdSPAxWe2p2loAGu2HiSjXG9IeaEh/jRuFMDejIKGDbCeHA47bzxzJ9mZ6fQaMqZK3QCs+PEz/vjhI+w2G5fe/pQHoqyfrMx97N25lbi2HapdXlpSzKY1yzjv6lsaOLLjk31gH+m7ttG6TcW6iYptw4YVv5DQvgt7tm8i9+B+8rIPEOrFJ1a15bJ+ecVccr08F/CtfLIz95G2cxuxlY6bAaefy5svTOHpOy6npLiQSyc/gMXi/fdnqelz4MC+PdjtNl558i5KiosYPPICeg8+00NRKqVOKV56MRaO765ZlwHvuZ6/5/oZ4HdjzHbX0Kt3cfaaANiB/51QlLUQkQkiskxElv34+Xy3rttisXLtPc8z+bHZpO/cTGbaziPLjMPBDx/NYfj517l1myeLAeZ/s5k3Fq4nsnkIzZsEVVsuKbYZ2/bk1tpj4g0sFivX3f8iNz85t0rdHNZr6BgmPvoqw867hiVfvu+BKOuupLiIeS89zrlXTCYouFG1ZTas/I2EpE5eOyyrvJLiIt575UlGXTqxSj6DR4+nuLCAVx69maXffUxUXFvEi08QS4qLePflJxl9WdVchoweT1FhATOn3MyS7z6mVVxbrz/Z9aV8SoqLeHvmE4y5fFKVXDavXU50XFvue/4dbnv8FT6d9zLFRYc8FGndlBQX8cYLj3PelZMJCqmYj91hZ8+OLdxw95NMuPdffPvRPDLT93goUqWUco969YiISHNgBNBVRAxgxXmO+5nr//IO/1x8eF6IiHwFRALLjDE3nkjgRzZizCxgFsDsLzeelPPnoJBQ4pK6smPjCsJdY91LS4o4kL6Td2c+BMChvGw+fPUpLrzpQa+csH5YaZmDvRkFxEU1JiuvuMrydrFh/LTy1PnjFhQSSlz7rmxfv/xI3VTWMWUIX73/f4xp4Njqym6z8daLj9NjwAi69BlUY7nVS717WNZhdpuN9155gm79htMppWo+QcGNuOB6ZwepMYYZ915DWHhUQ4dZJ3abjXdffoLu/YfTuYZcLrrhaC7T7vHeXMC38rHbbLwz8wnncdO7ai4rfvqaIWPGIyK0iIwhLDyKzPTdxLapvsfR0+w2G2+88Bi9ThtB1z6DqyxvFhZOo25NCAwKJjAomDYdupG2axvhrVp7IFql1CnFiyer1/dS1zjgLWNMvDEmwRgTC+wABgN9RSTRNTfkEpyT2Sswxow0xvRwVyPkZCosyKW40Dk8qay0hJ2bVtM84ugHfmBwI2775zwmTXmVSVNeJToh2WsbIUEBVgL8nVVttQitI0PJzq/aCGnWOJDAACv7DlY/bMtbFOZXrJvUjatoEVnxj3FWxtHJ99vWLaN5eHSDxlhXxhg+mD2diOg4howaV2O5osJDbN+4hs4pA2os4w2MMXz0+gzCW8UxcORF1ZYpKizAZnNO/1q++Evi23etsRfIk4wxLJhb91yWLf6SBC/NBXwrH2MMH86ZTnirWAadXX0uTVuEs239KgDyc7M5kL6H5uGtGjDKujPGMP+1aURGxzF0dPWfA51TBrBj01rsdjulJcXs3LaRiGjvuxOgUsoLWdz4cLP6zhG5DHim0mv/AyYDfwAzgXbADzhv71srEbkduAeIAv4Ukc+NMTeKSBSwDGgCOETkDqCTMSavnvEet4LcbD5/+3mMw4ExhuSeA2nXpQ8/ff42UbHtSOrar6FCOWGNgv0Z0SfOOcdIYNvuXHam59OncySZWUWkpjt/rUmxzdi6O8ejsdZFQV4Wn711uG4cdOg1iHZd+/LTwnlExSWR1K0fKxYvJHXjKqxWP4JCQhl99R2eDrtaqZvXseKXb4mKTeT5hyYBcPbF15NzMAOA/iPGArBu+S8kdel1ZJK+t9q1dR2rl3xHZOsEXnn0ZgDOuPBacrMyAegzbAyZabtYMGcaABEx8Zx/7Z0ei7c2O7esY5Url5lTnLmcedG15B505tJ3uDOX/82ehuDM5YLrvDMX8K18dm5Zx8pfvyOqdSIvPTwZgLPGXXfkuOk3Yiwjzr2CD16bygsPTcQYw8jxN9CocVNPhl2j1M3rWP7zt7SKTWT6AxMBGDX+erJd+Zx2+jlExsST3K0P0+6fgFgs9Bs2ilaxiZ4MWymlTpgYc+KjmURkGHC3MWbsCa/sBJysoVmeUpJf4ukQ3CbIi28HfDyaNwn0dAhuU1Lm8HQIbnUSbuqh3MTiQ5UT4Oe9c2eOxzl9tHdFqeNwSnyoTZ2wwG3nx3fPusCtOes3qyullFJKKeWjKn/FgTdxS0PEGLOIql9KqJRSSimllFLV0h4RpZRSSimlfJUXjyTVhohSSimllFK+yteHZimllFJKKaW8kBc3RLy4s0YppZRSSinlq7RHRCmllFJKKV/lxd0O2hBRSimllFLKV+nQLKWUUkoppZQ6SntElFJKKaWU8lVe3CPiUw2R4uwiT4fgVs1bN/V0CG4TEuhTuxpFJTZPh+A2QQFWT4fgVgF+vpNPmd3h6RDcys/qvX8M62tMSqynQ1BKqbrx4vFPXhyaUkoppZRSylf51mVqpZRSSiml1FE6NEsppZRSSinV4Ly4IaJDs5RSSimllFINTntElFJKKaWU8lVe3O2gDRGllFJKKaV8lQ7NUkoppZRSSqmjtEdEKaWUUkopX+XFPSLaEFFKKaWUUspXefH4p2M2RETEAG8bY650/ewHpANLjTFjTzQAEXkKuBoIM8aElnt9CPA80A241BjzwYluqz6sFuGCM5KwWixYLLBtVw6/r91XoUzjEH9G9IsnKMiPkhIb3yzZyaGisoYMs07KykqZ+8w/sNvKcDjsdEoZxPDzrqpQxlZWyoLZ00jbuYWQ0CaMm3g/YS0jPRRx7XIOZvDef56lIDcbEaHf8NEMGnlhlXLbNqzmk3mv4LDbCQltwuSHpnsg2todrhtbuboZUU3dfDh7Guk7txAc2oSLvbxu3p/1HAW52SBCv2GjGTTyggplfvxsPiuXfA+Aw24nI203j7w8n5DQJp4IuUbZBzN45/+eJj83GxAGjBjD0FEXVSizdf0qZk97hOYRUQB06zOIkRde7YFoj82Xjhtn3Tzj3M9cdTNkVMVctq5fxZxpj9A8ohUAXfsMYuSFV1WzNqWUUu4iIqlAPmAHbMaY3rWVr0uPyCGgi4gEG2OKgDOBvScaaDmfAjOBLZVe3wVcC9ztxm3Vmd1h+Pj7rZTZHFgELjyjPTvT89h/sPBImdN6xrAxNYtNO7KIiQxlQPdovv1tpyfCrZWfnz/X3P00gUHB2G025jxzN+269Ca2bccjZVb8/DVBjUL527/msOb3RXz7wRwunnS/B6OumcVqZezlE2mdkERxUSEvPnIzSV1SiIyJP1Km6FABC15/kRv+8S/CWka4Tli8T+W6mf3M3SRVUzfB5ermmw/mMN6b6+ayCcQkJFFSVMiLj9xCUpdeFepm6JjxDB0zHoD1K5fw85cfel0jBMBisXLuFZOITWxPcVEh0x+cRHLXFKJaJ1Qo16ZDF276xz89E2Q9+NJxY7VYOe+KSbROdOYy48HJtO+aQlTr+Arl2nToyo3/eMpDUSqllJdo+KFZw40xB+pSsK6dNZ8DY1zPLwPePbxARPqKyBIRWSkiv4pIsuv1xSLSo1y5n0Wke+UVG2N+M8akV/N6qjHmT8BRxxjdrszm3LTFIlgsVSuxedMg9u7PB2Dv/gISWzdt0PjqSkQIDAoGwG63YbfbkEo75aZVS+hx2hkAdEoZzPaNqzDGNHisddGkWQtaJyQBEBQcQkR0HLlZFff3lUu+p0vvQYS1jAAgtGlYg8dZF5XrxlFN3WysVDc7vLxuYlx1E3i4brJr/ixavWQR3fsPb6jw6qVpWAtiE9sDzv0sMia+1ly8nS8dN03CWtA6sVwuMbXvZ0op9Zcmbny4WV3niLwHPCIiC3EOlZoDDHYt2wgMNsbYROQM4J/ARcBsnD0ad4hIeyDIGLPancGfbCIwfmQyTUMDWbPlQIXeEIAD2UW0ad2MPzdn0qZ1UwL8rQQGWCkptXso4po5HHb+88TtZGWk0Xf4WFq36VBheV72QZqEtQTAarUSFBxCYUEejRp7Z+PqsKzMfaTt3Epcu4r5HNi3B7vNxr+fuouS4iIGjbyAlEFneijK2pWvmz7V1E1+pboJPIXqZu/OrcS17VDt8tKSYjatWcZ5V9/SwJHVX1bmPvakbiW+XE/VYalb1vPcfTfRJKwF514xiVaVeky8kS8cN4dlZe5jb+pW4qvZz5x1M4GmYS0494qJVXqzlFJK1Y+ITAAmlHtpljFmVrmfDfC1a2rHfyotq6JODRFjzJ8ikoCzN+TzSoubAm+ISJJr4/6u1/8LPCwi/wCuB16vy7bqq/wv5NIbHmTQ6Rcd4x11Zwy8/+UmAvytjBqcSPOmQWTlFh9Z/suqvQxJiaVDm+akZRRQUFiKl16oxmKxMnnKyxQVFvD+y0+wf28qkTEJng7rhJQUF/HWi49zzhWTCQpuVGGZw25nb+oWJtz3LGVlpcx87Hbi2nYkvFVrD0Vbs/J1854P1c28lx7n3Grq5rANK38jIamTVw7LKq+kuIi5Mx7lgqtuJiikYi6tE5J45MV3CQwKZv3KpcyZ9ggPznjTQ5HWja8cN+DM5fUZj3F+DXXz8IvvlKubKTww4w0PRaqUUh5Uzaie4+VqWNTWuBhkjNkrIhHANyKy0RizuMbQ6rHtT4CplBuW5fIE8IMxpgtwDhDkCrQQ+AY4DxgPvC0iVhFZ5Xo8Xo9t18gYM8sY09sY09udjZDySsvs7N1fQFyriidMhUU2vvx5B/O/3MTSP9OPlPVmwSGhJHToxta1yyq83iSsBXmuoQ12u53iokKvPkG022y89eJj9DxtBF37DK6yvGnzcNp37U1AUDCNGjelTXI30ndt80CkdRccEkpiNXXTuFLdlJwSdfM4PQaMoEufQTWWW73Ue4dlHWa32Zg741FSBp5Ot75V97OgkEZHhtZ16tkPu91GQV5uQ4dZZ7503NhtNl6f8Si9fKRulFLqpBFx3+MYjDF7Xf9nAAuAvrWVr09DZA7wmDFmTaXXm3J08vq1lZa9BrwI/GGMyTbG2I0xPVyPR+qx7QYXFOhHgL8VAKtViI1qTHZeccUyAdYjz3t1imTD9oMNGmNdHcrPoaiwAICy0hK2r19Jy6jYCmWSu/dn1a/fArB++U8kduheZa6CtzDG8N/XphERHceQUeOqLdOp1wBSN6/FbrdTWlLMrm0biYiOa+BIj61y3Wzzgbr5YPb0WusGoKjwENs3rqFzyoAGjK5+jDG8N2sqkTFxDBtzcbVl8nKyjszX2bl1I8YYGjX2zkaiLx03xhjenzWViJh4ho2pPpeqdePw2rpRSilfICKNRKTx4efAWcDa2t5T5+8RMcbswdmoqOxZnEOzHgI+q/Se5SKSB8ytJehngcuBEBHZA7xmjHlURPrgbEmFAeeIyGPGmM51jfdENQr24/T+8YgIAmzdlcPOtDz6do0iI6uQ1L15xEQ2pn/3VmAgLbOAH5ftaajw6iU/J5uP5kzF4XBgjKFzn8Ekd+/H9x+9SXRCezr06E/PwSNZ8NpzvHD/9QQ3asy4ifd5OuwapW5ex4pfviUqNpEZD04E4OyLryfnYAYAA04/h8iYeNp368OMByYgYqHvsFFExSZ6Muxq5edks2DOVEwtddNr8Eg+PAXr5vmHJgEV66b/COcdv9ct/4WkLr0ICAz2WKzHsmPTWpb9/A2tYhN57n7ncNgx428g25XLwDPOYfXSxfzy7SdYrVb8AwK5+raHvLaR6EvHjbNuvqVVbCJT73fmMnr80VxOc9XNr99+isVqxT8ggKu8uG6UUuqkariPvkhggeuz1g94xxjzZW1vkJN59x0RiQYWAR2MMSf97lcvv7vSS2doHJ/mXnoXruMREuhb351ZVGLzdAhuU75nzxcE+PlOPmV2j9008KTws/pOQ2BMSuyxCymlfN0p8aE27bFv3XZ+fNeUM9ya80n7rkURuRpYCjzYEI0QpZRSSiml1KnjpF2mNsa8CXj37WOUUkoppZTyZV48LNW3xssopZRSSimljvLedsjJG5qllFJKKaWUUjXRHhGllFJKKaV8lRu/0NDdtCGilFJKKaWUr/LiOSI6NEsppZRSSinV4LRHRCmllFJKKV/lvR0i2hBRSimllFLKZ3nxHBEdmqWUUkoppZRqcD7VIxLQJMjTIbiVv9V32okHc4s9HYJbNQ0N8HQIbmP14islxyO7oMTTIbhNRFPf+kw7s0eMp0NQSqm/Hi+erO5TDRGllFJKKaVUOV58XduLQ1NKKaWUUkr5Ku0RUUoppZRSylfp0CyllFJKKaVUg/PihogOzVJKKaWUUko1OO0RUUoppZRSyld5cbeDNkSUUkoppZTyVTo0SymllFJKKaWO0h4RpZRSSimlfJUX94gcd0NERAqMMaEnGoCI3ArcAbQFwo0xB1yvdwDmAr2AB40xU090W/VhKyvlvZkPYreV4XDYad/9NAaefVmFMmt//44fP32D0KbNAeg5aAzd+p/ZkGHWSc7BDD547TkK8nIQoM/Q0Zx21gUVyhQXHmL+rGfIzcrAYbcz6OxxpAwe6ZmAj8FWVso7z9+HzVaGw24nuedABo+5okKZlT99wYrFn2GxWPAPDOLsy26lZas4D0Vcs5yDGfz31XJ1M2w0A6urm/88Q46rbgaP8t66yTmYwbv/fpb83GxEhP7DRzP47AurlNu6fjWfzHsFu91Oo8ZNuPmh6R6Itna2slJef+4e52eA3U7HlEEMO/fKSmXK+GjuVNJ3biW4UWPGTbifZi0jPRRx7bIPZPDmy0+Tn5sNAgNPH8vw0RdVKPPnH7+wcP5cRASL1cq4a26hbYeuHopYKaWUW3jx+Cdv6BH5BVgILKr0ehZwO3B+A8cDgNXPn/E3P05AYDB2u413X7qfxA69iE5IrlAuuccgzrhogidCrDOL1cqoSyYQk5BESVEhLz92K+069yIiJv5Imd++/4SI6DiuvuNxDuXlMOOBG+g+YAR+fv4ejLx6Vj9/Lr39qSN18/b0e2nTKYWYxA5HynTqPZSeg0cBsOXPpXz/4WzG3/KYp0KukcVqZfSlR+tm5qPOuoksXzfffUJETBxX3/k4BXk5zLjfe+vGYrFyzuUTaZ2YRHFRIc8/fDNJXVOIKpdP0aECPnz9RW6651+EtYxwnhh7IaufP1f//V8EBAVjt9mY++zdtOvSm9Ztju5nK3/5iuCQUG57ajZrf/+Rbz+cw7gJ93sw6ppZrFYuvGoSsW3aU1xUyDP3T6JDtxRatU44Uia5ay+69j4NEWHvzm3Mef5xHp7xhueCVkop5dNOqI0kIsNEZGG5n2eKyLWu56ki8piIrBCRNa4ejiqMMSuNManVvJ5hjPkDKDuRGI+XiBAQGAyAw27HYbcjXty1VZsmzVoQk5AEQGBwCOGtYsnLOVChjCCUFBdhjKGkpJjgRo2xWKyeCPeYKtaNDYfdVqVuAoNDjjwvKy0GL626ynUTER1LXnbFukGO1k2pl9dNk7AWtE505hMUHEJkdBx5WRXzWfHr93TtM4iwlhEANG4a1uBx1oWIEBBUfj+zVymzadVvdBtwBgCdUgaxY8NqjDENGmddNQ1rQWyb9oCzbqJi4sipVDeBQcFHjqWSkmK89sBRSilVdyLue7jZye4ROWCM6SUiNwN3Azee5O25lcNh563pd5FzYB89Bo6iVXz7KmW2/LmEPdvXERYezfDzrqdJWLgHIq277AP7SN+1rcJVXYD+p5/LWy9O4ek7L6e0uJBLJj+AxeK9fXkOh503nrmT7Mx0eg0ZU6WnCmDFj5/xxw8fYbfZuPT2pzwQZf1kZ+4jbec2YttWrJsBp5/Lmy9M4ek7LqekuJBLvbxuDsvK3MfenVuJq5TPgX17sNttvPLkXZQUFzF45AX0Hux9QxrBuZ+9+uTfyMpMo8+wsVWOm/ycgzRt7jzmLVYrQcEhFBXkEdK4qSfCrbODGfvYs2MrCe06Vlm2+vef+OTd18jPzWHSff/0QHRKKaXcyosvpJ/shsiHrv+XA1UHins5i8XKNXc/T3FRAR/PeZrM9J2Etzo6xKRt5z506DUEPz9/Vv/6FV+8+yKX3PyEByOuXUlxEe/MfIIxl00iKLhRhWVb1i6nVVxbbrjnWbIy0pg79X4S2nepUs5bWCxWrrv/RYoLC1jw6j/JTNtJeHR8hTK9ho6h19AxrP9jEUu+fJ8xV9/poWiPraS4iLdnPsGYy6vWzea1y4mOa8uN9zrrZs5z95OQ7L11A8583njhcc67cjJBIRXjtDvs7NmxhYn3P4utrJSXHr2d+HYdCW/V2kPR1sxisTLxkZkUFxbw/itPkrE3lYiYBE+HdUJKiot4bfoULrrmZoJDqu5D3fsOpnvfwWxdv5rP3p/LbQ836PQ8pZRSfyEnelnVVmkdQZWWl7j+t+Nq9IjIVyKySkReO8Ft41rfBBFZJiLLFn853x2rrCIoOJTYdl1J3biywuvBjZocGafftf8Z7N+z7aRs3x3sNhvvzHyC7gNG0Ln3oCrLl//8NZ1TBiIitIiMIaxlFJnpuz0Qaf0EhYQS174r29cvr7FMx5QhbP7ztwaMqn4O102PASPoUk3drPjpazqVr5tw764bu83GGy88Rq/TRtC1z+Aqy5uFhZPcrTeBQcE0atyUNh26kbbLe48dcO5nCR26sXVdxf2scbMW5GZlAs4hnMVFhQSHNvFEiHVit9l4ddoUeg86gx79htRatl2n7hzISKcgL7eBolNKKXVSWNz4OAmhnYidQCcRCRSRZsDpx3qDMWakMaaHMcYtw7SMMbOMMb2NMb2HnD3eHasEoLAgl+KiAgDKSkvYuXkVzSNiKpQpyMs68nzb2j9oEeF9V3QBjDF8OHc6EdGxDBp5UbVlmrUIZ9v6VQAU5GaTuW8PzcNbNWCUdVeYn0tx4dG6Sd24ihaRFX/3WRlpR55vW7eM5uHRDRpjXRlj+HDOdMJbxTLo7Orrpmm5usnPzeZAuvfWjTGG+a9NIzI6jqGjx1VbpnPKAHZsWovdbqe0pJid2zYSEe19dzQ7VGk/275+JS2jKu5nyd378eeSbwFYv/xnEjt089q5ZMYY3v73c0TFxHH62IurLZO5b++ROS67t2/GVlZKo8be27BSSil1bCLitoe7HdfQLBHxA0qMMbtFZD6wFtgBrKz9ndWu63bgHiAK+FNEPjfG3CgiUcAyoAngEJE7gE7GmLzjibm+DuVl88W7L+BwODDGkNx9IG079+HnL94hKrYd7br0ZcXiz9i27ncsFitBIaGcfdntDRFave3cso5Vv35HZOtEXnpkMgBnXXQdOVkZAPQbPpbh51zB/2ZP5cWHJmIwnH3xDTTy0nHuBXlZfPbW8xiHA2McdOg1iHZd+/LTwnlExSWR1K0fKxYvJHXjKqxWP4JCQhl99R2eDrtaO7esY+Wv3xHVOpGXHnbVzbjryDnoqpsRYxlx7hV88NpUXnhoIsYYRo733rpJ3byO5T9/S6vYRKY/MBGAUeOvJ9uVz2mnn0NkTDzJ3fow7f4JiMVCv2GjaBWb6Mmwq1WQm8XHc6cd+Qzo1Hsw7bv144eP3yI6PonkHv3pOWgkC2ZP5aUHbyC4UWMuuuleT4ddo+2b1vL7T98QHdeGf91zEwDnXnYDWQecdTP4zHNZtXQxSxd/jdXqh39AINff8YjXNqyUUkqd+uR47vAiIt2BV40xfd0f0vF79bMN3nm7muMUFhbs6RDcJu9QqadDcKumoQGeDsFtAvy8f+J7feQVeuRGeydFRNPKo11PbWf2iDl2IaWUOnWcEldqps9a6rbz479P6OfWnOvdIyIik3B+v8cd7gxEKaWUUkop5V7e3LFd74aIMebfwL9PQixKKaWUUkopN/LmIba+NSZDKaWUUkopdUo42d8jopRSSimllPIUL+520IaIUkoppZRSPkqHZimllFJKKaVUOdojopRSSimllK9q4B4REbHi/C7AvcaYsbWV1YaIUkoppZRSPsoDI7P+BmzA+aXktdKhWUoppZRSSqkTJiKtgTHAa3Uprw0RpZRSSimlfJWI2x4iMkFElpV7TKi0teeBewBHXULzqaFZjZsEejoEt8o7VOrpENymWWPfqhuL996Aot4C/ayeDsGtwpv4Tj5n9ojxdAhKKaVOceLGkxZjzCxgVrXbERkLZBhjlovIsLqsT3tElFJKKaWUUidqIHCuiKQC7wEjRGRebW/QhohSSimllFK+Stz4qIUx5n5jTGtjTAJwKfC9MebK2t7jU0OzlFJKKaWUUkd58xcaakNEKaWUUkop5TbGmEXAomOV04aIUkoppZRSPsqLO0S0IaKUUkoppZTP8uKWiE5WV0oppZRSSjU47RFRSimllFLKR+lkdaWUUkoppVTD8+LxT14cmlJKKaWUUspXuaVHREQKjDGhtSxfBNxtjFlW6fUWwAdAH+B1Y8yt5ZY9BVwNhNW27pOlrKyUuc/8A5utDIfDTqeUQYw476oKZWxlpXw4exrpO7cQHNqEiyfeT1jLyIYO9ZhsZaW88/x9zlzsdpJ7DmTwmCsqlFn50xesWPwZFosF/8Agzr7sVlq2ivNQxLXLOZjBf2c9R0FeNiD0HT6agWddUKHM4s/ns2rJ9wA47HYy0nbz0Mz5hIQ28UDENcs5mMH7s56jIDcbROg3bDSDRlbM5cfP5rOyUi6PvOx9uQBkH8jgrVeeJj83GwQGjhjLsNEXVVt257aNTH/4Vq69/WF69h/awJEemy/lopRS6q9Lh2bVrBh4GOjiepT3KTAT2NLQQQH4+flzzd1PExgUjN1mY/Yzd5PUpTexbTseKbPi568JbhTK3/41hzW/L+KbD+YwftL9ngi3VlY/fy69/SkCAoOx2228Pf1e2nRKISaxw5EynXoPpefgUQBs+XMp3384m/G3POapkGtlsVoZfdkEYhKSKCkq5KUpt9Cucy8iY+KPlBkyejxDRo8HYMPKJfz81YdeeeJusVoZWy6XFx+5haQuFXMZOmY8Q8c4c1m/cgk/f+mduYAznwuumkRsYnuKiwp59v5JJHdLoVXrhArlHA47H78ziw7densm0DrwpVyUUkr9hXlxQ8RtQ7NEZJiILCz380wRuba29xhjDhljfsbZIKm87DdjTLq74qsvESEwKBgAu92Gw26r0qLcuGoJPU47A4BOKYPZsXEVxpgGj/VYRISAQGcujhpyCQwOOfK8rLQYvHefpUmzFsQkJAHOuCOi48jLPlBj+dW/LaJ7/+ENFV69VJdLbm25LPHeXACahrUgNrE9AEHBIUTFxJGbVTWfH79cQI++QwhtEtbQIdaZL+WilFJKeSOdI1ILh8PO/z12C8/9/TLadOpJ6zYdKizPzz5Ik7CWAFitVgKDQygsyPNEqMfkcNiZ+6/beem+q0jo0JPohOQqZVb8+Bn/efQmFn30OmeMm+iBKOsvO3MfaTu3Etu2Q7XLS0uK2bxmGV16D2rgyOovK3Mfe3duJa6WXDatWUbXPt6fC8DBjH3sSd1KfLuOFV7Pycrkzz9+ZtCZ53oosvrzpVyUUkr9tYi47+Fup3xDREQmiMgyEVn23SfvunXdFouVyVNe5u/PvcXeHZvZvzfVretvSBaLlevuf5Gbn5xL+s7NZKbtrFKm19AxTHz0VYaddw1LvnzfA1HWT0lxEfNeepyxV0wmKLhRtWU2rvqN+KROXjuU6bDDuZxbSy4bVv5GwimQCzjzmT1jChdeczPBIRXz+d8bL3Pu5ROwWE6Njx9fykUppdRfj4i47eFu7pwjYqNiwyaocgERuQCY4vrxxsqT14+HMWYWMAvgvZ+2n5RxUcEhoSR26MbWtcuIjEk48nrjsBbkZR+gafNw7HY7JUWFXn+SGBQSSlz7rmxfv5zw6Phqy3RMGcJX7/8fYxo4tvqw22y8/dLj9DhtRK29Hd48LOswu83GWy8+To8BI+hSS2/H6qXenws483lt+hR6DzqDHn2HVFm+a/tmXn/hCQAK8nNZv2opFquV7l7Y0+NLuSillFLexp0NkZ1AJxEJBIKB04GfyxcwxiwAFrhxmyfNofwcLFY/gkNCKSstYdv6lQw6++IKZZK792fVr98S27Yj65f/RGKH7l55Z4LC/FwsVitBrlxSN66i3xkV7/6TlZFG84hoALatW0bz8GhPhFonxhj+N3s64dFxDD57XI3ligsPsWPTGi6ZdG8DRlc/xhg+mD2diOg4hoyqOZeiwkNs37iGS704F3Dm8/Z/niMqJo4RYy6utsxjL71z5PlbrzxDl179vfLE3ZdyUUop9RfmxZ32J9wQERE/oMQYs1tE5gNrgR3Ayjq+PxVoAgSIyPnAWcaY9SLyLHA5ECIie4DXjDGPnmi8dZWfk82COVMxDgfGGDr3GUxy9358/9GbRCe0p0OP/vQaPJIPX3uOF+6/nuBGjRk38b6GCq9eCvKy+Oyt5125OOjQaxDtuvblp4XziIpLIqlbP1YsXkjqxlVYrX4EhYQy+uo7PB12jXZuWcfKX78lqnUiLz48CYCzxl1P7sEMAPqNGAvAuuW/kNSl15GJ+t4odfM6VvzyLVGxiTz/kDOXsy++nhxXLv1PoVwAtm9ayx8/fUN0XBuevvcmAM659AayDzjzOZXmUvhSLkoppf66vPEi+WFyond5EpHuwKvGmL7uCen4nayhWZ5SWGzzdAhu06xxoKdDcCuL9x7T9RYS4Om7eKuanNUzxtMhKKWUqtkpcTYw65N1bjs/nnBuZ7fmfEJnICIyCbgduMMt0SillFJKKaXcx4t7RE6oIWKM+TfwbzfFopRSSimllHIjL26HePP0FaWUUkoppZSv0sHhSimllFJK+Sov7hLRhohSSimllFI+Srz4Djs6NEsppZRSSinV4LRHRCmllFJKKR/lxSOztCGilFJKKaWUz/LilogOzVJKKaWUUko1OJ/qEXGc4LfEe5vs1emeDsFtsvNLPR2CW5ntOZ4OwX0CrJ6OwK3unn2hp0NQSimlvIZ4cY+ITzVElFJKKaWUUuV4bztEh2YppZRSSimlGp72iCillFJKKeWjvPl7RLQhopRSSimllI/y3maIDs1SSimllFJKeYD2iCillFJKKeWj9K5ZSimllFJKqQbnxe0QHZqllFJKKaWUanjaI6KUUkoppZSP8uYeEW2IKKWUUkop5aPEi++bVeeGiIicDywAOhpjNrpj4yJyK3AH0BYIN8YccL3eAZgL9AIeNMZMdcf26sNWVsrcZ+/BbivDYbfTMWUQw8+7slKZMj6aM5W0nVsJCW3MuAn306xlZEOHWmcicOWVvcgvKOWjBWurLG+fHM5pp8VjDGRmFvD5Z26p5pNCBK6c2I/8vBI+emdVhWWNmwYx8vxOhIQEUFxUxucfrqUgr8QzgdbBTdNHU1pswzgMDruDeVO+q7A8INiPMZP70bhFCBaLsOzzzaz9KdUzwdbBTc+MPJqPwzDviR+qlIlNbsnwS7thsVooKijh/Wd/8kCkSimllHIXEQkCFgOBONsYHxhjptT2nvr0iFwG/Oz6v9aV1sMvwEJgUaXXs4DbgfPdtJ16s/r5c81d/yIgKBi7zcbcZ+8mqUtvWrftcKTMyp+/IigklNv/OZu1v//It/+bw7iJ93sq5GPq1as1B7MKCQioWu3NmgXTr28s776zipISG8Eh/h6IsO569Y/jYOYhAgKr5jJ0ZHvWr0pn/ep0YhPDGHxGO774cJ0Hoqy7+f9cRFFBabXLep7RjoN781gw/ReCGwdw/bOjWP/rThx208BR1t38536qMZ/AYH/OuLIHH8z4hfysIkIaBzZwdEoppdRfRwMOzSoBRhhjCkTEH/hZRL4wxvxW0xvqNFldREKBQcANwKWu14aJyMJyZWaKyLWu56NFZKOILBeRF8uXK88Ys9IYk1rN6xnGmD+AsrrEdzKICAFBwQA47DbsdnuVb4TZtOo3up92BgCdUgaxfeNqjPHOk8PQ0AAS2zRnzZ/7ql3erVsrVq1Ko6TEBkBRocd+9ccU2iSQxPYtWbNib7XLW4Q3YveOLAB278imbXJEQ4bndgYICHI2uAKC/Cg+VIrD4Z37WV107B/L5hVp5GcVAVCY7729VUoppdSpTsR9j9oYpwLXj/6uR60nLHXtETkP+NIYs1lEDopISs3JShDwH2CIMWaHiLxbx214HYfDzqwn/kZWZhp9ho2ldZsOFZbn5RykaVg4ABarlaDgEIoK8ghp3NQT4dZq+Ih2LF68nYAAa7XLw8Kcja5LL+uBiLDk11RSU7MbMsQ6G352Mou/3lJtbwhA5r582nWKYOVvu2nXMYLAID+Cgv0pLvLextW4e4dgDPz5wzb+/GFHhWUrv9nKBXcOZNJLYwkI8mfhzCXHOKw9zMC4vw/CGMOfP+7gz8WpFRaHRYZisQqX/GMw/kF+rPh2G+uX7PJMrEoppZSqMxGZAEwo99IsY8yscsutwHKgHfCyMWZpbeura0PkMuAF1/P3XD9X28sBdAC2G2MOn029Wylgtyr/C7nhricZce6lblu3xWJl0pSZFBcW8P4rT5KxN5WImAS3rb+htGnTnMLCUjL2F9A6tvpGkliEZmHBzH9/NaGNA7n0ku688cYySkrsDRxt7dq0b0nhoVIy0vNpnRBWbZkfv97C6aOT6dIjmj07c8jPLfbaniqAd5/4noLsYkKaBDLu3iFkpeWzZ9OBI8sTu0aSsSuH+f/6kWYRjbj4vqHseeBrSottHoy6Zu8+/SMFOcWENA5k3F0DydqXz57NB48st1iEyPgw/jv1J/wCrFz+wDDSt2eRvb+glrUqpZRS6ni48wsNXY2OWbUstwM9RKQZsEBEuhhjqk5MdjlmQ0REmgMjgK4iYgArzuuxH1NxaFdQHdb1FRAJLDPG3His8nVR/hfyzuJtJ+VsMygklITkbmxdu7xCQ6RJsxbkZmfSpHlLHHY7xUWFBIc2ORkhnJDomKa0bduSxMQW+PlZCAiwMmp0B774/Ohk9IL8EtL35eFwGPJyi8nKLqJZWAj79+V7MPKqouOa0TY5nMSkls5cAv0YdWEXvvjw6D5+KL+ET97/EwD/ACtJHSMo8dKTdoCC7GIACvNK2LpsL1Ftm1doiHQZksjST511lZNxiNzMQzSPbsy+7d7ZY1WQ48onv4StK9KJSmxeoSGSn11E0aFSykrtlJXa2bP5AOGxTbUhopRSSp0EnrhnljEmR0R+AM4GamyI1GWOyDjgLWNMvDEmwRgTC+xwvbeTiAS6Wj2nu8pvAtqISILr50vKBTXSGNPDXY2Qk+lQfi7Fhc4To7LSEravX0nLqNYVyrTv0Y/Vv34LwPrlP5OY3M2trU53+fmnHcz6z2+89upSFi5cz65dORUaIQBbtx4gNrYZAMHBfjQPCyY3p8gD0dbu52+3Mmv6T7z2/M8s/GANu3ZkVWiEAM6J9q5q6Ds4gbUr0zwQad34B1rxd83/8A+0Et81kgO7cyuUyTtYSHxn5zyXkCaBhEU1JjfjUIPHWhf+AeXyCbAS3zmCA3vzKpTZuiqdmKQWiEXwC7DSqk0YWene1eBVSimlfIWIuO1xjO2Eu9oEiEgwcCZQ6y1Y6zI06zLgmUqv/Q/npPX5OFs5O4CVAMaYIhG5GfhSRA4Bf9QS8O3APUAU8KeIfG6MuVFEooBlQBPAISJ3AJ2MMXk1rcvdCnKz+GjONBwOB8YYOvceTPvu/fjh47eIjk8iuUd/eg0ayYLZU3nxgRsIbtSYcRPubajw3OK0gQns35fPtm0HSU3NJj6hOdde1xuHw/Djj9sp9uJehMpOG96W/Wl5bNuUSeuEMAafkYQxhr07c/jusw2eDq9GIU2COO+O0wDnkKUNS3aRumY/3Ue0AWD199tZ8tF6Rk3owzX/PAsRWPz+nzXekcrTQpoEct6t/QGwWCxsWLqb1LX76T40EYDVP+4gKz2f1DX7ufax053zSBanVmmsKKWUUuqU0wp4wzVPxALMN8bUNJUDADkZY+dFJNR16y4BXga2GGNmuH1DlZysoVmekv77Hk+H4D753nnifLzM9hxPh+A+NdzA4FR19+wLPR2CUkqpvwbvGwZTjfm/7HDb+fH4gYluzblOt+89DjeJyCpgHdAU5120lFJKKaWUUg1I3Phwt/p8oWGduXo/TnoPiFJKKaWUUurUdFIaIkoppZRSSinP88YbKR2mDRGllFJKKaV8lBe3Q07aHBGllFJKKaWUqpH2iCillFJKKeWjdGiWUkoppZRSqsF5bzNEh2YppZRSSimlPEB7RJRSSimllPJRXjwySxsiSimllFJK+SqdI9JAymxu+wZ7r9C8Z7SnQ3CbRkE+tasR5G/1dAhuc27fOE+HoJRSSqm/IN86O1RKKaWUUkod4b39IdoQUUoppZRSymd58cgsvWuWUkoppZRSquFpj4hSSimllFI+SierK6WUUkoppRqcF7dDdGiWUkoppZRSquFpj4hSSimllFI+Srz4vlnaEFFKKaWUUspH6dAspZRSSimllCqnXj0iIvIgcDlgBxzARGPM0hMJQERuBe4A2gLhxpgDrtc7AHOBXsCDxpipJ7Kd+rKVlfLWtHux28pwOOx06DmQIedcWaHM0m8XsOqXr7BYrYSENmXsVXfQtEVEQ4ZZJ7ayUt6efi82WxnG4SC550AGj72iQpmViz9nxeLPEIuFgMBgzr78Vlq28s5v3M7NyuR/rz1HQW4OCPQZOpoBZ55foUzRoXwWzJlBVmYafv4BXHDd34lsneCJcGuVczCD9/7zLPm52YgI/YaPZvDIC6uU27ZhNR/PewWH3U6j0CZMfmi6B6JVSiml1KnGm3tExBhTt4IiA4DpwDBjTImItAQCjDFpJxSASE8gG1gE9C7XEIkA4oHzgey6NETe+H5r3ZKpA2MMZSXFBAQFY7fbeGvqPzjz4onEtOlwpEzqptXEJCbjHxDE8h8/Y9eWNVxw433uCgFHHevmWCrnMm/aPZxx8QRiEo/mUlJUSGBwCABb/lzKisWfccmtj7tl+wCNgtw3CjA/5yD5uVlExydRUlTI/z1+G5ff+ggRMfFHynw5/1UCAoMZcd6VZKbvZuG8l7nuH0+7LYYgf6tb1pOXc5C8nCxaJyRRXFTIC4/czLV3PEZkuVyKDhUw8/G/ceM//kVYywgKcrMJbRrmlu0DnNvXOxucSimllJfz4lP8o75euddt58dn9Yxxa871GZrVCjhgjCkBMMYcMMakiUiKiPwoIstF5CsRaQUgIotE5AURWSUia0Wkb3UrNcasNMakVvN6hjHmD6Cs/mmdOBEhICgYAIfdht1ur7K7JSR3xz8gCICYNh3Izz7Q0GHWSeVcHHZ7lYlLhxshAGUlxV49salxsxZExycBzrjDW8WSl3OwQpnMtF206dgDgPBWsWQf2E9BbnZDh3pMTZq1oHWCM5eg4BAiouPIzaq4H61c8j1dew8irKWzt82djRCllFJKKU+pz2Xqr4FHRGQz8C3wPvAr8BJwnjEmU0QuAZ4Crne9J8QY00NEhgBzgC7uC/3kczjszPnX38jOTCdl6JgKPQiVrf7la9p07t2A0dWPw2Hn9afvIDsznV5DxhCdmFylzPIfF/LHdx9ht9m47I6nPBBl/WUf2Ef6rm20blMxn6jYNqxf/gsJ7buwZ/smcg/uJzf7gFefxGdl7iNt51bi2lXczzL37cFus/F/T91FSXERg0ZeQO9BZ3ooSqWUUkqdSrx5aFade0SMMQVACjAByMTZEJmIs3HxjYisAh4CWpd727uu9y4GmohIM7dEXY6ITBCRZSKybNHC99y6bovFyo0PzuS2f75BWupmMvamVltu7dLvSd+5hf5nXuTW7buTxWLl+gde4panXic9dTOZaalVyqQMHcukx19j2AXX8usX7zd8kPVUUlzEey8/yajLJhIU3KjCssGjx1NcWMDLU27mt+8+plVcWywW7703Q0lxEW+++DjnXjG5Si4Ou529qVu44a4nuemef/HdR/PITN/joUiVUkopdSoRcd/D3eo1cN8YY8c5l2ORiKwBbgHWGWMG1PSWyj+LyFdAJLDMGHNjPeOtLqZZwCxw7xyR8oJCQolv343t65cTEZNQYdmODSv55cv3ufLOZ/Dz9z8Zm3eroJBQ4pK7sX3dCsKjE6ot0yllCF+/+0rDBlZPdpuN915+gm79h9M5ZVCV5UHBjbjwhrsA5xyZ6fdcQ1h4VEOHWSd2m403X3yMnqeNoGufwVWWN20eTkhoEwKCggkICiYxuRtpu7YR3qp1NWtTSimllDo11PkSsYgki0hSuZd6ABuAcNdEdkTEX0Q6lytziev1QUCuMSbXGDPSGNPDHY2Qk+lQfi7FhQUAlJWWsGPDKlpExVYos2/3Nr54ZyYXT36ERk2aeSDKuimslEvqhpW0iKp4EpuVsffI861r/yAsIrpBY6wPYwwL5s4gvFUcA0dW3wtVVFiAzeacXrR88ZfEt+9apafBGxhjmP/aNCKi4xg6aly1ZTr3GkDq5rXY7XZKS4rZtW0jkdE6wVwppZRSxyYibnu4W316REKBl1zDq2zAVpzDtGYBL4pIU9f6ngfWud5TLCIrAX+OzhupQERuB+4BooA/ReRzY8yNIhIFLAOaAA4RuQPoZIzJq1eGx+lQbhafvjEdh3FgHIaOKYNI6tqXHz99i1ZxSbTv3p/v/zeb0pJiPnz1XwA0DQvn4punNER49VKQm8XCN2dgHA6McdAhZTDtuvZl8afzaBWfRFK3fixftJCdm1ZjsVoJCg5lzNV3ejrsGu3aso7VS74jsnUCL0+5GYAzL7qWnIOZAPQdPobMtF18OHsaABEx8VxwnXfmk7p5HSt++Zao2ESmPzgRgFEXX0/OwQwABpx+DpEx8SR368P0ByYgYqHfsFFExSZ6MmyllFJKnSK8eIpI3W/fW+8ViywC7jbGLDspG6jGyRqa5Snuun2vN3Dn7Xu9gbtu3+sN9Pa9Siml1HHx5nP8I77/M81tJ5QjukW7NWffOjtUSimllFJKHXEyhlS5y0lriBhjhp2sdSullFJKKaWOzYvbIfX6QkOllFJKKaWUcgsdmqWUUkoppZSP8uYeEW2IKKWUUkop5aPEi+fU69AspZRSSimlVIPThohSSimllFI+SsR9j9q3I7Ei8oOIrBeRdSL/3959x0lVn+0f/1wsKL1KhxVUwAIIUgy2gL2gxERNonk0lsBPY4ox+kSNLYkldomJSizYNTGaYDQBo/mFaCIRESs2IigCLkivsrv388cccVl2YcswZ3a83r7mxcyc78y5bhZ3597v95yjH2wtm5dmmZmZmZkVqByevrcUODciZkhqBbwk6emIeLO6F3hGxMzMzMzM6iUiFkTEjOT+SmAW0H1Lr3EjYmZmZmZWoLK5NEvSWEnTK9zGVr1P9QIGA9O2lK2glmatX7U+7QhZ1blLq7QjZE2j/D1hQ50cPaw47QhmZmZmW5XNpVkRMQGYsJX9tQT+APwwIlZsaaxnRMzMzMzMrN4kNSHThDwQEY9tbXxBzYiYmZmZmdnncrUoRZmplzuBWRFxQ01e4xkRMzMzM7MClavT9wL7Av8DHChpZnI7cksv8IyImZmZmZnVS0Q8Ry0nYNyImJmZmZkVqBxeR6TW3IiYmZmZmRWoPO5DfIyImZmZmZnlnmdEzMzMzMwKlHJ23qzacyNiZmZmZlagvDTLzMzMzMysglrPiEjqAfwa2J1MI/Nn4LyI+LSa8T8EJkTEmiq2dQAeBYYBEyPi7ArbrgBOBtpFRMva5qyv0g2f8sitP6WsdAPl5eX0GTCCfQ/7xmbj3n7lef415REk0bFrL4466ZxcR92qZZ+U8PDt17Bq+VIksfeoI9nvsK9uNm72rFeYdP9vKC8ro3nL1pz50xpdiybnln1SwkO3XcPKpJ4vjTqS/Q/fvJ733szUU1ZWRotWrTkrT+sxMzMz21YK5qxZyRUTHwNujYgxkoqACcAVwHnVvOyHwP3AZo0IsA64GOif3Cp6ArgFeLc2GbOlqHETjh93Odtt34yyslIe/vVF9N51MN127LdxzNJF85n27GN887tX0rR5S9asWpZG1K1qVFTE6BPH0aNXH9atXcP4S86iT/8hdO6+48Yxa1ev4vGJ4zn9vKtot0MnVi1fmmLiLWvUqIijTxxHj96Zem66+Cz6DBhCl0r1PDZxPN85P1PPyjyux8zMzGxbyeM+pNYzIgcC6yLiboCIKJN0DvC+pMuAy4HDgXLgt2QuatIN+LukxRExquKbRcRq4DlJu1TeUUS8AOl1cZLYbvtmAJSXlVFeXrpZllen/Y1B+xxO0+aZCZvmLdvmOmaNtG7bgdZtOwDQtFlzOnUrZvmSxZs0Ii//+1n6D92Pdjt0AqBlm3apZK2J1u060Lrd5/V07lbMiiWLN2lEZvzrWQYM+7yeVnlcj5mZmdm2UkiNyB7ASxWfiIgVkj4AzgB6AYMiolRS+4hYIulHwKiIWJyVxDlUXl7G/Tedx7JPFjJon8PpWtx3k+1LF88H4KFbLiCinBGHfJ3eu+6VRtQaW7JoIfPnvkfxLrtu8vzihfMoKy3ltivOZf26tex32LEM2e+QlFLW3JJFC/lo7nsU71xFPWWl/OYXmXr2P+xYhu6f//WYmZmZfVFk82D1kcDtEVEKEBFLsvje1ZI0VtJ0SdOnTv59Vt+7UaMiTv7RDYz96W9Z+OF7LF44d5PtUV7GssXzOeHMn3PUST9iyqO3sm7t6qxmyKb169Zy3/ifcfRJZ9K0WYtNtpWXlfHRnHc57dxfcMb5V/G3P97PogXzUkpaM+vXreWem3/GmG+dSdPmm9ZTVl7GvPff5fQf/4Kx/9sw6jEzMzPLNmXxv2yrbSPyJjCk4hOSWgPFNXmxpGMlzUxuQ2u57ypFxISIGBoRQw847PhsvOVmmjZrQc+d+/P+Wy9v8nzLNh3YeY9hFBU1pk37zrTv2I1lySxJvikrLeW+8ZczeJ8DGTBs/822t2nfkb4DhrJd02a0aNWGnfoNZMEHs1NIWjNlpaXcc/Pl7FVNPW3bdaTfwKFs/1k9uw5kfh7XY2ZmZrYtSNm7ZVttG5FngOaSTs4UpiLgemAiMBkYJ6lxsq198pqVQCuAiHg8IgYlt+lZyL/NrFm1fOPsxoYN65n77iu079RjkzG77DGcD2e/kRm/egVLFs2nTfsuOc+6NRHB7++4nk7dijngiOOqHLP7XiOY887rlJWV8en6dXww+y06datRf5lzEcHv7riezt2K+fKRVdezx5ARvP/25/XMzeN6zMzMzL6IanWMSESEpGOB30i6mEwj8xRwIVAG9AVelbSBzMHqt5A5q9ZfJc2vfLA6gKQ5QGtgO0lfAQ6NiDclXQOcSKbxmQfcERGX1a3M2lu9Yil/eeRXRHk5EeX023Nfdt59KM9PfojOPXZmlz2G06vfYOa+8wp3X/t9GjVqxJdHn0KzFq1yFbHG5rzzBjOe/xtdevbmxovGAXD48aex7JMSAEYcdDSdu+9I34HDuPHCsUiNGD7yCLr07J1m7GrNeecNXnrub3Tt2ZsbLszUc8QJp7E0qWefpJ5+A4dx/QVjUaNG7D3yCLrmaT1mZmZm20o+n75XEZF2hqyZMOmNwikG6Nwl/5qaumqUv/8P1MnRwzy7YmZm9gXXID7dvPbh0qx9Ph7Qs11Wa/aV1c3MzMzMLOdqfWV1MzMzMzNrGLbF2a6yxY2ImZmZmVmByuNDRLw0y8zMzMzMcs8zImZmZmZmBapRHk+JuBExMzMzMytQedyHeGmWmZmZmZnlnmdEzMzMzMwKVD7PiLgRMTMzMzMrUD59b450KaArkQO0atYk7QhZM2pA17QjmJmZmVkeKahGxMzMzMzMPuelWWZmZmZmlnPK407EZ80yMzMzM7Oc84yImZmZmVmByuMJETciZmZmZmaFykuzzMzMzMzMKvCMiJmZmZlZgcrf+RA3ImZmZmZmBctLs8zMzMzMzCrwjIiZmZmZWYHK4wmRmjcikgK4ISLOTR7/GGgZEZfVJ4CkDsCjwDBgYkScXWHbFcDJQLuIaFmf/dTWsk9KePj2a1i5fCmS2HvUkex/2Fc3Gzd71iv86f7fUF5WRouWrTnzpzfkMmaNLFlcwsRfXcmK5UsRYr9DRnPQUcdtMmba1KeZ8seHCIKmTZtz4thz6NFrl5QSm5mZmVk25HEfUqsZkfXAVyVdFRGLs5hhHXAx0D+5VfQEcAvwbhb3VyONiooYfeI4evTqw7q1a7j5krPo238InbvvuHHM2tWreGzieM447yra7dCJVcuX5jpmjRQVFXHcKWdRvFNf1q1dw5Xnj2W3gUPp1rPXxjE7dOrKj352My1atuL1GdO4/7br+cnVt6YX2szMzMwaFEl3AaOBkoio/Ll+M7U5RqQUmACcU8VOe0l6VtKrkp6RVCypjaS5kholY1pI+lBSk4qvjYjVEfEcmYaEStteiIgFtciYNa3bdqBHrz4ANG3WnE7dilm+ZNP+6+V/P8uAofvRbodOALRs0y7nOWuiTbsOFO/UF8jU0qX7jiyrVMvOu/anRctWAPTuuztLlyzKeU4zMzMzyzIpe7etmwgcXtNotT1Y/dfASZLaVHr+V8A9ETEQeAAYHxHLgZnAl5Mxo4HJEbGhlvtM3ZJFC5k/9z2Kd9l1k+cXLZzHmtUrufWKc7np4rOY/tzTKSWsucUlC/hwzrv07rNbtWOef+ZJ+g8ensNUZmZmZrYtKIu3rYmIqcCSmmarVSMSESuAe4HvV9o0AngwuX8fsF9y/xHg68n9bySPs0rSWEnTJU2f/PiDW39BLa1ft5Z7x/+MY046k6bNWmyyrbysjI/mvMvp5/6C75x/Fc/88X4WLZiX9QzZsm7tGiZcdyknfPtsmjVvUeWYt19/mX89+xTHfmtcjtOZmZmZWT6r+Lk7uY2tz/vV5axZNwEzgLtrMHYScKWk9sAQ4FlJxwKXJtvPiIjpdciwUURMILNkjEn/+SDq816VlZWWcu/4yxm8z4EMGLb/ZtvbtO9I85at2a5pM7Zr2oze/QYy/4PZdOzaI5sxsqKstJQJ113K8P0PZvCXDqhyzLw5s7nv1mv53kW/pGWrypNeZmZmZtbQZPOsWRU/d2dDra8jEhFLgN8Bp1d4+l9kZjwATgL+mYxdBbwI3Az8OSLKIuLxiBiU3OrVhGxLEcHv7rieTt2K+fIRx1U5Zo+9RjDnndcpKyvj0/Xr+GD2W3TuVpzjpFsXEdz7m2vo0qOYg48+ocoxSxZ9zO3XXcyp37uQzt165jihmZmZmW0LuVyaVVt1vY7I9cDZFR5/D7hb0nnAIuDUCtseAX4PjKzuzSTNAVoD20n6CnBoRLwp6RrgRKC5pHnAHfU9XXBNzXnnDWY8/ze69OzNDRdllikdcfxpLPukBIARBx1N5+470m/gMG64cCxSI/YeeQRdevbORbxamf3Wa0ybOoXuxTvxix9n+scxJ36HpYs+BuCAw8bw5KP3sHrlCh6640YAGjUq4sJrstbwmpmZmZltQhFZXc2UqmwvzUpbq2ZNtj6ogRg1oGvaEczMzMyyKZ8v0bHRR8vWZu3zcfe2zbZYs6SHyEw+7AB8DFwaEXdWN95XVjczMzMzK1C57JYi4pu1GV/rY0TMzMzMzMzqyzMiZmZmZmYFKptnzco2NyJmZmZmZgUrfzsRL80yMzMzM7Oc84yImZmZmVmB8tIsMzMzMzPLuTzuQ7w0y8zMzMzMcs8zImZmZmZmBcpLs8zMzMzMLAX524kUVCPSomlBlcOoAV3TjmBmZmZmtk0U1id3MzMzMzPbyEuzzMzMzMws5/K4D/FZs8zMzMzMLPc8I2JmZmZmVqjyeErEjYiZmZmZWYFSHnciXpplZmZmZmY55xkRMzMzM7MC5bNmmZmZmZlZzuVxH+JGxMzMzMysYOXxlEiNGhFJZcBrQBOgFLgXuDEiyusbQNJdwGigJCL6V3j+eOAyYDdgeERMr+++amPJ4hLuueUqVi5bigT7HjyaA486bpMxr7z4HE88fDeNJBoVFXHct89ml90G5DKmmZmZmVmDVNMZkbURMQhAUifgQaA1cGkWMkwEbiHT3FT0OvBV4PYs7KPWioqK+NrJZ1K8U1/WrV3D1f87jt0GDqVrz14bx/TrP4SB1+2LJObNnc2dN1zOpTdXLsPMzMzMLB35Ox9Sh7NmRUQJMBY4WxlFkq6V9KKkVyWN+2yspP+V9JqkVyRdXc37TQWWVPH8rIh4u7b5sqVNuw4U79QXgKbNmtOlezHLlizeZEzTZs1QMt316bp1eT31ZWZmZmZfPFL2btlWp2NEIuK/koqATsAYYHlEDJO0PfC8pCnArsm2vSNijaT2WUudY5+ULOTD99+jV5/dNts2c9o/+dODv2Xl8mWcdcFVKaQzMzMzM2t4snEdkUOBkyXNBKYBHYA+wMHA3RGxBiAiNpv1yAZJYyVNlzT9z4/en/X3X7d2LROuu4TjTv0uzZq32Gz7oL3359Kb72Xc+T/niUfuyvr+zczMzMzqSlm8ZVudZkQk7QSUASVkcn0vIiZXGnNYFa/rCTyRPLwtIm6ry/4riogJwASAZ16dH/V9v4rKSkv57fWXMHz/gxm89wFbHNtn9z1Z/PECVq1YTsvWbbIZw8zMzMysbvL40IFaz4hI6gjcBtwSEQFMBs6U1CTZ3ldSC+Bp4FRJzZPn20fEhxExKLnVuwnZliKC+269hi7dd+Sgo0+ockzJgo/I/BXAB/99h9ING2jRqnUuY5qZmZmZNUg1nRFpliy9+uz0vfcBNyTb7gB6ATOUOXJ7EfCViPirpEHAdEmfAk8BF1Z+Y0kPASOBHSTNAy6NiDslHQv8CugIPClpZkRsNsuyrcx+63X+M/VpuhXvxJU/PgOAY048gyWLSwA44NBjmDltKtP+MZmiosY02W57Tj/nko0Hr5uZmZmZpS2fP5nqs9/oF4JsL81K20EDu6UdwczMzMyqls+f8Tda9Wlp1j4ft9yucVZrzsbB6mZmZmZmZrVSp4PVzczMzMysIcjfiRs3ImZmZmZmBSqfD1/20iwzMzMzM8s5z4iYmZmZmRWoPJ4QcSNiZmZmZlaovDTLzMzMzMysAjciZmZmZmYFS1m8bWVP0uGS3pb0nqSfbG28l2aZmZmZmRWoXC3NklQE/Bo4BJgHvChpUkS8Wd1rPCNiZmZmZmb1NRx4LyL+GxGfAg8DY7b0goKaETloYLec9HySxkbEhFzsa1srpFqgsOoppFqgsOoppFqgsOoppFqgsOoppFqgsOoppFqg8Oqpr6ZFjbL2+VjSWGBshacmVPi77g58WGHbPGDvLb2fZ0TqZuzWhzQYhVQLFFY9hVQLFFY9hVQLFFY9hVQLFFY9hVQLFFY9hVQLFF49eSMiJkTE0Aq3ejV8bkTMzMzMzKy+PgJ6VnjcI3muWm5EzMzMzMysvl4E+kjqLWk74BvApC29oKCOEcmhQlp3WEi1QGHVU0i1QGHVU0i1QGHVU0i1QGHVU0i1QGHVU0i1QOHV0yBERKmks4HJQBFwV0S8saXXKCJyEs7MzMzMzOwzXpplZmZmZmY550bEzMzMzMxyzo1ILUi6S1KJpNfTzlJfknpK+rukNyW9IekHaWeqK0lNJf1H0itJLZennSkbJBVJelnSn9POUh+S5kh6TdJMSdPTzlNfktpKelTSW5JmSRqRdqa6ktQv+bp8dlsh6Ydp56orSeck3wNel/SQpKZpZ6orST9I6nijIX5Nqvp5Kam9pKclvZv82S7NjLVRTT3HJ1+fcklD08xXG9XUcm3yPe1VSY9LaptixFqppp6fJ7XMlDRFUrc0M1r13IjUzkTg8LRDZEkpcG5E7A58CfiupN1TzlRX64EDI2JPYBBwuKQvpRspK34AzEo7RJaMiohBEdFgflhvwc3AXyNiV2BPGvDXKCLeTr4ug4AhwBrg8XRT1Y2k7sD3gaER0Z/MgZLfSDdV3UjqD3yHzFWK9wRGS9ol3VS1NpHNf17+BHgmIvoAzySPG4qJbF7P68BXgak5T1M/E9m8lqeB/hExEHgHuCDXoephIpvXc21EDEy+t/0ZuCTXoaxm3IjUQkRMBZaknSMbImJBRMxI7q8k82Gqe7qp6iYyViUPmyS3Bn0WBkk9gKOAO9LOYp+T1AY4ALgTICI+jYhlqYbKnoOA2RExN+0g9dAYaCapMdAcmJ9ynrraDZgWEWsiohT4B5kPvA1GNT8vxwD3JPfvAb6Sy0z1UVU9ETErIt5OKVKdVVPLlOTfGsALZK7/0CBUU8+KCg9b0MA/ExQyNyKGpF7AYGBaylHqLFnGNBMoAZ6OiAZbS+Im4HygPOUc2RDAFEkvSWroV7vtDSwC7k6Wzd0hqUXaobLkG8BDaYeoq4j4CLgO+ABYACyPiCnppqqz14H9JXWQ1Bw4kk0vEtZQdY6IBcn9hUDnNMNYtU4D/pJ2iPqSdIWkD4GT8IxI3nIj8gUnqSXwB+CHlX6D0KBERFkyBdsDGJ4sbWiQJI0GSiLipbSzZMl+EbEXcASZJYAHpB2oHhoDewG3RsRgYDUNa3lJlZILTx0D/D7tLHWVHG8whkyz2A1oIelb6aaqm4iYBfwSmAL8FZgJlKWZKdsic+0A/5Y6z0i6iMzS7QfSzlJfEXFRRPQkU8vZaeexqrkR+QKT1IRME/JARDyWdp5sSJbJ/J2GfSzPvsAxkuYADwMHSro/3Uh1l/ymmogoIXP8wfB0E9XLPGBehRm3R8k0Jg3dEcCMiPg47SD1cDDwfkQsiogNwGPAPilnqrOIuDMihkTEAcBSMuv2G7qPJXUFSP4sSTmPVSDp28Bo4KQorIvMPQB8Le0QVjU3Il9QkkRmnfusiLgh7Tz1IanjZ2f4kNQMOAR4K9VQ9RARF0REj4joRWa5zLMR0SB/syuphaRWn90HDiWz7KRBioiFwIeS+iVPHQS8mWKkbPkmDXhZVuID4EuSmiff3w6iAZ9IQFKn5M9iMseHPJhuoqyYBJyS3D8F+FOKWawCSYeTWQ58TESsSTtPfUnqU+HhGBrwZ4JC1zjtAA2JpIeAkcAOkuYBl0bEnemmqrN9gf8BXkuOrQC4MCKeSi9SnXUF7pFURKa5/l1ENOhT3haQzsDjmc+FNAYejIi/phup3r4HPJAsZ/ovcGrKeeolaRAPAcalnaU+ImKapEeBGWSWlrwMTEg3Vb38QVIHYAPw3YZ2UoSqfl4CVwO/k3Q6MBc4Ib2EtVNNPUuAXwEdgSclzYyIw9JLWTPV1HIBsD3wdPL9+oWI+H+phayFauo5MvmFUTmZf2sNopYvIhXW7JuZmZmZmTUEXpplZmZmZmY550bEzMzMzMxyzo2ImZmZmZnlnBsRMzMzMzPLOTciZmZmZmaWc25EzMxyQFJUvDClpMaSFkmq06mmJbWVdFaFxyNr816SLpP0kaSZkt6U9M3a7G8rY/9V0xxbeZ9ekhrsdWfMzGzL3IiYmeXGaqB/ctFNyFy746N6vF9boEaNwRbcGBGDyFzw63ZJTbKxv4hosFc0NzOz3HEjYmaWO08BRyX3N7mauaT2kv4o6VVJL0gamDx/maS7JP1/Sf+V9P3kJVcDOyczGtcmz7WU9KiktyQ9kFxhHElXJ7Mer0q6rnKoiHgXWAO0S8afJ+nFZPzlVe1PUktJz0iaIek1SWMq1LIq+XNkkruqTEMk/UPSS5ImS+pa4flXJL0CfLfef+NmZpa3fGV1M7PceRi4JFlCNRC4C9g/2XY58HJEfEXSgcC9wKBk267AKKAV8LakW4GfAP2TGQ0kjQQGA3sA84HngX0lzQKOBXaNiJDUtnIoSXsB70ZEiaRDgT7AcEDAJEkHVLG/xsCxEbFC0g7AC5ImxeZXya0q0zQyV6QeExGLJH0duAI4DbgbODsiplZosMzMrAC5ETEzy5GIeFVSLzKzIU9V2rwf8LVk3LOSOkhqnWx7MiLWA+sllQCdq9nFfyJiHoCkmUAv4AVgHXBn0gBVPI7kHEmnAn2Bo5PnDk1uLyePW5JpTD6otC8BVyZNSjnQPcm1sAaZlgH9gaeTCZIiYEHSJLWNiKnJa+8DjqimVjMza+DciJiZ5dYk4DpgJNChhq9ZX+F+GdV/795sXESUShoOHAQcB5wNHJiMuTEirpN0DJlGZWcyDcZVEXF7xTdOGqiKTgI6AkMiYoOkOUDTGmYX8EZEjKi0j7bV1GVmZgXIx4iYmeXWXcDlEfFapef/SebD/WfLrBZHxIotvM9KMku1tkhSS6BNRDwFnAPsWXlMREwCpgOnAJOB05LXIam7pE5V7K8NUJI0IaOAHbeWpYK3gY6SRiT7aCJpj4hYBiyTtF8y7qRavKeZmTUwnhExM8uhZJnS+Co2XQbcJelVMgeOn7KV9/lE0vPJ6W3/AjxZzdBWwJ8kNSUzE/Gjasb9DHgQ2C25/TtZNrUK+FZEzK60v18CT0h6jUwT89aW8lbK/qmk44DxktqQ+Vl0E/AGcCqZv4cAptT0Pc3MrOHR5scVmpmZmZmZbVtemmVmZmZmZjnnRsTMzMzMzHLOjYiZmZmZmeWcGxEzMzMzM8s5NyJmZmZmZpZzbkTMzMzMzCzn3IiYmZmZmVnO/R/aU8X3fR8iOwAAAABJRU5ErkJggg==\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":"Average spending of each cohort by month remains rather stable, with some exceptions.","metadata":{"id":"5DE9YXGRC5Dj"}},{"cell_type":"markdown","source":"Q - What is the average quantity by each monthly cohort?","metadata":{"id":"YDfP1TA-zOps"}},{"cell_type":"code","source":"gp=group['Quantity'].mean().reset_index()\naverage_quantity = gp.pivot(index='CohortMonthYear', columns='MonthsRetained', values='Quantity')\naverage_quantity.index = average_quantity.index.date\n\nplt.figure(figsize=(15,7))\nsns.heatmap(data = average_quantity,annot=True,vmin = 0.0, cmap=\"BuPu\",vmax = list(average_quantity.max().sort_values(ascending = False))[1]+3,fmt = '.1f',yticklabels=month_list)\nplt.title('Average Quantity by Cohort')\nplt.show()","metadata":{"id":"uYJJHjpzw2aY","outputId":"33acfab9-5e26-45a0-bed4-7fecfa1960be","execution":{"iopub.status.busy":"2022-11-19T23:51:05.389844Z","iopub.execute_input":"2022-11-19T23:51:05.390197Z","iopub.status.idle":"2022-11-19T23:51:06.108943Z","shell.execute_reply.started":"2022-11-19T23:51:05.390165Z","shell.execute_reply":"2022-11-19T23:51:06.107649Z"},"trusted":true},"execution_count":88,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1080x504 with 2 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":"Based on the graph above, we notice that cohort on May 2011, there is an significant increase in quantity of sales at the end of the year. This may be due to the store's clearance sale that allowed them to sell the products at cheap rate to clear the stock. But By looking at the cohort retention chart in the same may 2011 cohort, it didnt improve the number of new customers arriving to the store. It may have increased the revenue but compromised the quality of the product which in turn had negative feedback from the loyal customers.","metadata":{"id":"9gav9eXlMm4b"}},{"cell_type":"markdown","source":"What is the trend of customer retention in each country?","metadata":{"id":"rKY7XaA2B0qr"}},{"cell_type":"code","source":"\nplt.title(\"Trend of customer retention by country\", fontsize=18, y=1)\n\nfor x in data['Country'].unique():\n  data2=data[data['Country']==x]\n  sns.countplot(data2['MonthsRetained'])\n  plt.xlabel(x)\n  plt.show()","metadata":{"id":"aUCZLdF95eFS","outputId":"e7f96703-83d5-40be-f78c-22cf49ff23b7","execution":{"iopub.status.busy":"2022-11-19T23:51:06.110900Z","iopub.execute_input":"2022-11-19T23:51:06.111425Z","iopub.status.idle":"2022-11-19T23:51:13.502152Z","shell.execute_reply.started":"2022-11-19T23:51:06.111376Z","shell.execute_reply":"2022-11-19T23:51:13.501375Z"},"trusted":true},"execution_count":89,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"iVBORw0KGgoAAAANSUhEUgAAAYUAAAEGCAYAAACKB4k+AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/NK7nSAAAACXBIWXMAAAsTAAALEwEAmpwYAAAUlklEQVR4nO3dfbRddX3n8ffH4EOlKGBSigQboBSHUgl6F2Wssihpa6CUp0UpWWhBqcFZsoRq7WBdU7EzruWMWJ+YwUZBwCKCYJShKFBqpZ3l043GGJ4UNEgyIbmCVUZaauA7f5x9N4dwbzjJzT4n4b5fa5119vmdffb3eyD3fu7+nX32TlUhSRLAs0bdgCRpx2EoSJJahoIkqWUoSJJahoIkqbXLqBuYiblz59aCBQtG3YYk7VRWrFjxo6qaN9VzO3UoLFiwgPHx8VG3IUk7lST3Tfec00eSpJahIElqGQqSpJahIElqGQqSpJahIElqGQqSpJahIElqGQqSpNZO/Y3mfhMX/20n2533n17byXYlaUfknoIkqWUoSJJahoIkqfWM+UxB2hq/v/x9nWz37056eyfblYbFPQVJUquzUEhyaZKNSVb3jV2dZGVzW5NkZTO+IMm/9j330a76kiRNr8vpo8uAi4ArJgeq6o8ml5O8H/hJ3/r3VtXCDvuRJD2NzkKhqm5LsmCq55IEOBU4uqv6kqStN6rPFF4NbKiq7/WN7ZfkW0m+nOTV070wydIk40nGJyYmuu9UkmaRUYXCEuCqvsfrgZdU1WHAW4FPJXnBVC+sqmVVNVZVY/PmTXndaUnSNhp6KCTZBTgZuHpyrKoeraoHm+UVwL3Arw27N0ma7Uaxp/A7wF1VtXZyIMm8JHOa5f2BA4Hvj6A3SZrVujwk9SrgK8BBSdYmOat56jSePHUEcCSwqjlE9VrgTVX1UFe9SZKm1uXRR0umGT9zirHrgOu66kWSNBi/0SxJahkKkqSWoSBJahkKkqSWoSBJahkKkqSWoSBJahkKkqSWoSBJahkKkqSWoSBJahkKkqSWoSBJahkKkqSWoSBJahkKkqSWoSBJahkKkqSWoSBJanUWCkkuTbIxyeq+sQuSrEuysrkd2/fcO5Lck+TuJK/pqi9J0vS63FO4DFg8xfgHqmphc7sRIMnBwGnArzev+V9J5nTYmyRpCp2FQlXdBjw04OonAJ+uqker6gfAPcDhXfUmSZraKD5TOCfJqmZ6aY9mbB/g/r511jZjT5FkaZLxJOMTExNd9ypJs8ouQ653MfBfgWru3w+8YWs2UFXLgGUAY2Njtb0blLpw3LVXdrLdG045vZPtavYa6p5CVW2oqseq6nHgYzwxRbQO2Ldv1fnNmCRpiIYaCkn27nt4EjB5ZNL1wGlJnptkP+BA4OvD7E2S1OH0UZKrgKOAuUnWAu8CjkqykN700RrgbICquj3JNcAdwCbgzVX1WFe9SZKm1lkoVNWSKYYv2cL67wHe01U/kqSn5zeaJUktQ0GS1DIUJEktQ0GS1Br2l9ckdezEa2/tbNufO2VRZ9vWjsE9BUlSy1CQJLUMBUlSy1CQJLUMBUlSy1CQJLUMBUlSy1CQJLUMBUlSy1CQJLUMBUlSy1CQJLUMBUlSy1CQJLU6C4UklybZmGR139j7ktyVZFWS5Ul2b8YXJPnXJCub20e76kuSNL0u9xQuAxZvNnYLcEhVvQz4LvCOvufuraqFze1NHfYlSZpGZ6FQVbcBD202dnNVbWoefhWY31V9SdLWG+VnCm8AvtD3eL8k30ry5SSvnu5FSZYmGU8yPjEx0X2XkjSLjCQUkrwT2ARc2QytB15SVYcBbwU+leQFU722qpZV1VhVjc2bN284DUvSLDH0UEhyJnAccHpVFUBVPVpVDzbLK4B7gV8bdm+SNNsNNRSSLAb+HDi+qh7pG5+XZE6zvD9wIPD9YfYmSYJdutpwkquAo4C5SdYC76J3tNFzgVuSAHy1OdLoSOCvkvwceBx4U1U9NOWGJUmd6SwUqmrJFMOXTLPudcB1XfUiSRqM32iWJLUMBUlSy1CQJLUMBUlSy1CQJLUMBUlSy1CQJLUMBUlSy1CQJLUMBUlSy1CQJLUMBUlSy1CQJLUMBUlSy1CQJLUMBUlSa6BQSHLrIGOSpJ3bFq+8luR5wPPpXVJzDyDNUy8A9um4N0nSkD3d5TjPBs4DXgys4IlQ+ClwUXdtSZJGYYvTR1X1oaraD/izqtq/qvZrbodW1dOGQpJLk2xMsrpvbM8ktyT5XnO/RzOeJB9Ock+SVUlePuN3J0naKk+3pwBAVX0kySuBBf2vqaornuall9Hbo+hf73zg1qp6b5Lzm8f/GTgGOLC5/SZwcXMv4KZLju1ku68568ZOtitp5zRQKCT5JHAAsBJ4rBkunvzL/imq6rYkCzYbPgE4qlm+HPhHeqFwAnBFVRXw1SS7J9m7qtYP0qMkaeYGCgVgDDi4+YU9U3v1/aJ/ANirWd4HuL9vvbXN2A4ZCj/88CmdbPclb7m2k+1K0iAG/Z7CauCXt3fxJmS2KmiSLE0ynmR8YmJie7ckSbPaoHsKc4E7knwdeHRysKqO34aaGyanhZLsDWxsxtcB+/atN78Ze5KqWgYsAxgbG9seey6SpMagoXDBdqx5PXAG8N7m/vN94+ck+TS9D5h/4ucJkjRcgx599OVt2XiSq+h9qDw3yVrgXfTC4JokZwH3Aac2q98IHAvcAzwCvH5bakqStt2gRx89zBNz/88Bng38rKpesKXXVdWSaZ5aNMW6Bbx5kH4kSd0YdE9ht8nlJKF3+OgRXTUlSRqNrT5LavV8DnjN9m9HkjRKg04fndz38Fn0vrfwb510JEkamUGPPvqDvuVNwBp6U0iSpGeQQT9T8EggSZoFBr3Izvwky5sznm5Mcl2S+V03J0karkE/aP4EvS+Xvbi5/e9mTJL0DDJoKMyrqk9U1abmdhkwr8O+JEkjMGgoPJjktUnmNLfXAg922ZgkafgGDYU30DsdxQP0TmV9CnBmRz1JkkZk0ENS/wo4o6p+DL1LagIX0gsLSdIzxKB7Ci+bDASAqnoIOKybliRJozJoKDwryR6TD5o9hUH3MiRJO4lBf7G/H/hKks80j/8QeE83LUmSRmXQbzRfkWQcOLoZOrmq7uiuLUnSKAw8BdSEgEEgaaS+cPWPOtv2MX80t7Nt7yy2+tTZkqRnLkNBktQyFCRJLUNBktQa+ncNkhwEXN03tD/wl8DuwBuBiWb8L6rqxuF2J2lrvWX5/Z1t+8Mn7dvZtjW1oYdCVd0NLARIMgdYBywHXg98oKouHHZPGr3XL1/cyXY/cdIXO9mu9Ew16umjRcC9VXXfiPuQJDH6UDgNuKrv8TlJViW5tP+0Gv2SLE0ynmR8YmJiqlUkSdtoZKGQ5DnA8cDkqTMuBg6gN7W0nt6pNZ6iqpZV1VhVjc2b53V+JGl7GuVJ7Y4BvllVGwAm7wGSfAy4YVSNSdKkNR98oJPtLjjvlzvZ7kyNcvpoCX1TR0n27nvuJGD10DuSpFluJHsKSXYFfhc4u2/4fyRZCBSwZrPnJElDMJJQqKqfAS/abOx1o+hFkvSEUR99JEnagRgKkqSWoSBJahkKkqSWoSBJahkKkqSWoSBJahkKkqSWoSBJahkKkqSWoSBJahkKkqSWoSBJahkKkqSWoSBJahkKkqSWoSBJahkKkqSWoSBJao3kGs0ASdYADwOPAZuqaizJnsDVwAJgDXBqVf14VD1K0mwz6j2F366qhVU11jw+H7i1qg4Ebm0eS5KGZNShsLkTgMub5cuBE0fXiiTNPqMMhQJuTrIiydJmbK+qWt8sPwDstfmLkixNMp5kfGJiYli9StKsMLLPFIBXVdW6JL8E3JLkrv4nq6qS1OYvqqplwDKAsbGxpzwvSdp2I9tTqKp1zf1GYDlwOLAhyd4Azf3GUfUnSbPRSEIhya5JdptcBn4PWA1cD5zRrHYG8PlR9CdJs9Wopo/2ApYnmezhU1X1xSTfAK5JchZwH3DqiPqTpFlpJKFQVd8HDp1i/EFg0fA7kiTBjndIqiRphAwFSVLLUJAktQwFSVLLUJAktQwFSVLLUJAktQwFSVLLUJAktQwFSVLLUJAktQwFSVLLUJAktQwFSVLLUJAktQwFSVLLUJAktQwFSVLLUJAktYYeCkn2TfKlJHckuT3Juc34BUnWJVnZ3I4ddm+SNNvtMoKam4C3VdU3k+wGrEhyS/PcB6rqwhH0JEliBKFQVeuB9c3yw0nuBPYZdh+SpKca6WcKSRYAhwFfa4bOSbIqyaVJ9hhdZ5I0O40sFJL8InAdcF5V/RS4GDgAWEhvT+L907xuaZLxJOMTExPDaleSZoWRhEKSZ9MLhCur6rMAVbWhqh6rqseBjwGHT/XaqlpWVWNVNTZv3rzhNS1Js8Aojj4KcAlwZ1X9dd/43n2rnQSsHnZvkjTbjeLoo98CXgd8J8nKZuwvgCVJFgIFrAHOHkFvkjSrjeLoo38GMsVTNw67F0nSk/mNZklSy1CQJLVG8ZmCdgJ/88nXdLLds193UyfblbR9uKcgSWoZCpKklqEgSWoZCpKklqEgSWoZCpKklqEgSWoZCpKklqEgSWoZCpKklqEgSWoZCpKklqEgSWoZCpKklqEgSWoZCpKklqEgSWrtcKGQZHGSu5Pck+T8UfcjSbPJDnU5ziRzgP8J/C6wFvhGkuur6o7RdiZJw7HhQ1/pZLt7nfsfB1pvR9tTOBy4p6q+X1X/DnwaOGHEPUnSrJGqGnUPrSSnAIur6k+ax68DfrOqzulbZymwtHl4EHD3NpSaC/xohu1az3rW27FrWW96v1JV86Z6YoeaPhpEVS0Dls1kG0nGq2psO7VkPetZbwesZb1ts6NNH60D9u17PL8ZkyQNwY4WCt8ADkyyX5LnAKcB14+4J0maNXao6aOq2pTkHOAmYA5waVXd3kGpGU0/Wc961tspallvG+xQHzRLkkZrR5s+kiSNkKEgSWrNqlBIcmmSjUlWD6nevkm+lOSOJLcnObfjes9L8vUk327qvbvLek3NOUm+leSGIdRak+Q7SVYmGR9Cvd2TXJvkriR3JhnsK6HbVuug5n1N3n6a5Lyu6jU1/7T5d7I6yVVJntdxvXObWrd38d6m+vlOsmeSW5J8r7nfo+N6f9i8v8eTbNdDRaep977m3+eqJMuT7D7TOrMqFIDLgMVDrLcJeFtVHQwcAbw5ycEd1nsUOLqqDgUWAouTHNFhPYBzgTs7rtHvt6tq4ZCOBf8Q8MWqeilwKB2+z6q6u3lfC4FXAI8Ay7uql2Qf4C3AWFUdQu/AjtM6rHcI8EZ6Zy04FDguya9u5zKX8dSf7/OBW6vqQODW5nGX9VYDJwO3bcc6W6p3C3BIVb0M+C7wjpkWmVWhUFW3AQ8Nsd76qvpms/wwvV8q+3RYr6rq/zUPn93cOjuSIMl84PeBj3dVY1SSvBA4ErgEoKr+var+ZUjlFwH3VtV9HdfZBfiFJLsAzwf+b4e1/gPwtap6pKo2AV+m98tzu5nm5/sE4PJm+XLgxC7rVdWdVbUtZ1nY1no3N/89Ab5K77tdMzKrQmGUkiwADgO+1nGdOUlWAhuBW6qqy3ofBP4ceLzDGv0KuDnJiuZ0J13aD5gAPtFMj308ya4d15x0GnBVlwWqah1wIfBDYD3wk6q6ucOSq4FXJ3lRkucDx/LkL6p2Za+qWt8sPwDsNYSao/IG4Asz3YihMARJfhG4Djivqn7aZa2qeqyZgpgPHN7stm93SY4DNlbVii62P41XVdXLgWPoTcUd2WGtXYCXAxdX1WHAz9i+Uw9Tar60eTzwmY7r7EHvr+j9gBcDuyZ5bVf1qupO4L8DNwNfBFYCj3VVb5oeig73nEcpyTvpTVdfOdNtGQodS/JseoFwZVV9dlh1m6mOL9HdZyi/BRyfZA29s9keneRvO6oFtH/dUlUb6c23H95hubXA2r49rWvphUTXjgG+WVUbOq7zO8APqmqiqn4OfBZ4ZZcFq+qSqnpFVR0J/JjeHHjXNiTZG6C53ziEmkOV5EzgOOD02g5fPDMUOpQk9Oak76yqvx5CvXmTRx8k+QV616W4q4taVfWOqppfVQvoTXf8Q1V19pdmkl2T7Da5DPwevSmJTlTVA8D9SQ5qhhYBw7iuxxI6njpq/BA4Isnzm3+ni+j4gIEkv9Tcv4Te5wmf6rJe43rgjGb5DODzQ6g5NEkW05vCPb6qHtkuG62qWXOj98O2Hvg5vb8Ez+q43qvo7a6uore7vBI4tsN6LwO+1dRbDfzlkP67HgXc0HGN/YFvN7fbgXcO4X0tBMab/56fA/bouN6uwIPAC4f0/+3d9P5oWA18Enhux/X+iV6wfhtY1MH2n/LzDbyI3lFH3wP+Htiz43onNcuPAhuAmzqudw9wf9/vl4/OtI6nuZAktZw+kiS1DAVJUstQkCS1DAVJUstQkCS1DAWpkeTEJJXkpTN4/Vaf8DDJmUkuapbflOSPt6W+tD0YCtITlgD/3NxvixOBKUOhOenc06qqj1bVFdtYX5oxQ0GiPT/Vq+h9Iei0Zuyo/utEJLmoOaUASd7bXCdjVZILk7yS3jmL3tdcD+GAJP+Y5IPNtR/OTfIHSb7WnGDv75M85eRsSS5I8mfN8huTfCO962Nc15xITurUQH+9SLPACfSunfDdJA8mecV0KyZ5Eb1vrr60qirJ7lX1L0mup/fN7mub9QCeU821H5qT0B3RvOZP6J2e4G1b6OmzVfWx5rX/jV5gfWTmb1WannsKUs8Seif2o7nf0hTST4B/Ay5JcjK9C+JM5+q+5fnATUm+A7wd+PWn6emQJP/UrH/6AOtLM2YoaNZLsidwNPDx5qyvbwdOpXdq5/6fkecBVO+iJofTO3PqcfROBT2dn/UtfwS4qKp+Azh7cntbcBlwTrP+uwdYX5oxQ0GCU4BPVtWvVNWCqtoX+AG9n4+Dkzy3OfvsImg/f3hhVd0I/Cm9y0sCPAzstoU6LwTWNctnbGG9SbsB65vTr5++le9J2iaGgtSbKtr8esjX0fvA+Rp6ZxG9ht4ZaKH3y/qGJKvoHa301mb808Dbmw+SD5iizgXAZ5KsAH40QF//hd6V+v4PHZ0CXdqcZ0mVJLXcU5AktQwFSVLLUJAktQwFSVLLUJAktQwFSVLLUJAktf4/04+QAWCcGisAAAAASUVORK5CYII=\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"iVBORw0KGgoAAAANSUhEUgAAAYUAAAEGCAYAAACKB4k+AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/NK7nSAAAACXBIWXMAAAsTAAALEwEAmpwYAAATL0lEQVR4nO3df/BddX3n8edLIv6gVsB8m8UkbGjN1GFdQSZDI1qnhdoCuoRVYHVBI9JJu4td1DotrjPdurudsdta/FGLywoSLNoiSKHUVtiAtd1WbFCEAHZJWV2SDSQCUqujbfS9f9xPPlzDN+GbH+fe/Hg+Zu7ccz7n3PP+3CTf7yufzz33nFQVkiQBPG3aHZAk7TsMBUlSZyhIkjpDQZLUGQqSpG7etDuwJ+bPn19LliyZdjckab9yxx13fL2qZmbbtl+HwpIlS1i7du20uyFJ+5UkX9vRNqePJEmdoSBJ6gwFSVJnKEiSOkNBktQZCpKkzlCQJHWGgiSpMxQkSd1+/Y3mcVsu/f1Bjz/z784b9PiStC9wpCBJ6gwFSVJnKEiSOkNBktQZCpKkzlCQJHWGgiSpMxQkSZ2hIEnqBg2FJF9NcneSO5OsbW1HJrklyf3t+YjWniQfSLI+yV1JThiyb5KkJ5vESOGnq+r4qlrW1i8G1lTVUmBNWwc4DVjaHquASyfQN0nSmGlMH60AVrfl1cCZY+1X1cjngcOTHDWF/knSQWvoUCjg5iR3JFnV2hZU1aa2/BCwoC0vBB4ce+2G1iZJmpChr5L68qramORHgFuSfGV8Y1VVktqVA7ZwWQVw9NFH772eSpKGHSlU1cb2vBm4HjgReHjbtFB73tx23wgsHnv5ota2/TEvq6plVbVsZmZmyO5L0kFnsFBIcliS52xbBn4WWAfcCKxsu60EbmjLNwJvbGchLQceH5tmkiRNwJDTRwuA65Nsq/PxqvqzJH8DXJPkAuBrwDlt/08DpwPrgW8D5w/YN0nSLAYLhap6ADhulvZHgFNmaS/gwqH6I0l6an6jWZLUGQqSpM5QkCR1hoIkqTMUJEmdoSBJ6gwFSVJnKEiSOkNBktQZCpKkzlCQJHWGgiSpMxQkSZ2hIEnqDAVJUmcoSJI6Q0GS1BkKkqTOUJAkdYaCJKkzFCRJnaEgSeoMBUlSZyhIkjpDQZLUGQqSpM5QkCR1hoIkqTMUJEmdoSBJ6gYPhSSHJPlSkpva+jFJbk+yPskfJjm0tT+jra9v25cM3TdJ0g+axEjhIuC+sfXfBC6pqhcAjwEXtPYLgMda+yVtP0nSBA0aCkkWAa8CPtLWA5wMXNt2WQ2c2ZZXtHXa9lPa/pKkCRl6pPA+4FeA77f15wHfqKqtbX0DsLAtLwQeBGjbH2/7/4Akq5KsTbJ2y5YtA3Zdkg4+g4VCklcDm6vqjr153Kq6rKqWVdWymZmZvXloSTrozRvw2C8DzkhyOvBM4IeB9wOHJ5nXRgOLgI1t/43AYmBDknnAc4FHBuyfJGk7g40UquqdVbWoqpYArwNurapzgduAs9puK4Eb2vKNbZ22/daqqqH6J0l6sml8T+FXgbcnWc/oM4PLW/vlwPNa+9uBi6fQN0k6qA05fdRV1WeBz7blB4ATZ9nnO8DZk+iPJGl2fqNZktQZCpKkzlCQJHWGgiSpMxQkSZ2hIEnqDAVJUmcoSJI6Q0GS1BkKkqTOUJAkdYaCJKkzFCRJnaEgSeoMBUlSZyhIkjpDQZLUGQqSpM5QkCR1hoIkqTMUJEmdoSBJ6gwFSVJnKEiSOkNBktQZCpKkzlCQJHWGgiSpMxQkSd2cQiHJmrm0SZL2bzsNhSTPTHIkMD/JEUmObI8lwMI5vPYLSb6c5J4k727txyS5Pcn6JH+Y5NDW/oy2vr5tX7J33qIkaa6eaqTwC8AdwAvb87bHDcDvPsVrvwucXFXHAccDpyZZDvwmcElVvQB4DLig7X8B8Fhrv6TtJ0maoJ2GQlW9v6qOAd5RVT9aVce0x3FVtdNQqJF/aKtPb48CTgaube2rgTPb8oq2Ttt+SpLs8juSJO22eXPZqao+mOQkYMn4a6rqqp29LskhjEYWLwA+BPwd8I2q2tp22cAT01ALgQfbcbcmeRx4HvD17Y65ClgFcPTRR8+l+5KkOZpTKCT5GPBjwJ3A91pzATsNhar6HnB8ksOB6xlNQ+2RqroMuAxg2bJltafHkyQ9YU6hACwDjq2q3folXFXfSHIb8FLg8CTz2mhhEbCx7bYRWAxsSDIPeC7wyO7UkyTtnrl+T2Ed8M925cBJZtoIgSTPAl4J3AfcBpzVdlvJ6ENrgBvbOm37rbsbQpKk3TPXkcJ84N4kX2B0VhEAVXXGTl5zFLC6fa7wNOCaqropyb3AHyT5r8CXgMvb/pcDH0uyHngUeN2uvRVJ0p6aayj8+q4euKruAl4yS/sDwImztH8HOHtX60iS9p65nn3050N3RJI0fXM9++ibjM42AjiU0XcOvlVVPzxUxyRJkzfXkcJzti23L5StAJYP1SlJ0nTs8lVS2zeV/wj4ub3fHUnSNM11+ug1Y6tPY/S9he8M0iNJ0tTM9eyjfzW2vBX4KqMpJEnSAWSunymcP3RHJEnTN9eb7CxKcn2Sze1xXZJFQ3dOkjRZc/2g+aOMLkPx/Pb449YmSTqAzDUUZqrqo1W1tT2uBGYG7JckaQrmGgqPJDkvySHtcR5ewVSSDjhzDYU3A+cADwGbGF3F9E0D9UmSNCVzPSX1PwMrq+oxgCRHAr/NKCwkSQeIuY4UXrwtEACq6lFmuQKqJGn/NtdQeFqSI7attJHCXEcZkqT9xFx/sb8X+Oskn2zrZwO/MUyXJEnTMtdvNF+VZC1wcmt6TVXdO1y3JEnTMOcpoBYCBoEkHcB2+dLZkqQDl6EgSeoMBUlSZyhIkjpDQZLUGQqSpM5QkCR1hoIkqTMUJEmdoSBJ6gwFSVI3WCgkWZzktiT3JrknyUWt/cgktyS5vz0f0dqT5ANJ1ie5K8kJQ/VNkjS7IUcKW4FfrqpjgeXAhUmOBS4G1lTVUmBNWwc4DVjaHquASwfsmyRpFoOFQlVtqqovtuVvAvcBC4EVwOq222rgzLa8AriqRj4PHJ7kqKH6J0l6sol8ppBkCaPbd94OLKiqTW3TQ8CCtrwQeHDsZRtamyRpQgYPhSQ/BFwHvLWq/n58W1UVULt4vFVJ1iZZu2XLlr3YU0nSoKGQ5OmMAuHqqvpUa35427RQe97c2jcCi8devqi1/YCquqyqllXVspmZmeE6L0kHoSHPPgpwOXBfVf3O2KYbgZVteSVww1j7G9tZSMuBx8emmSRJEzDn23HuhpcBbwDuTnJna/uPwHuAa5JcAHwNOKdt+zRwOrAe+DZw/oB9kyTNYrBQqKq/BLKDzafMsn8BFw7VH0nSU/MbzZKkzlCQJHWGgiSpMxQkSZ2hIEnqDAVJUmcoSJI6Q0GS1BkKkqTOUJAkdYaCJKkzFCRJnaEgSeoMBUlSZyhIkjpDQZLUGQqSpM5QkCR1hoIkqTMUJEmdoSBJ6gwFSVJnKEiSOkNBktQZCpKkzlCQJHWGgiSpMxQkSZ2hIEnqDAVJUjdYKCS5IsnmJOvG2o5MckuS+9vzEa09ST6QZH2Su5KcMFS/JEk7Nm/AY18J/C5w1VjbxcCaqnpPkovb+q8CpwFL2+MngEvbs/QDTrvhFwc9/p+u+PCgx5f2dYONFKrqc8Cj2zWvAFa35dXAmWPtV9XI54HDkxw1VN8kSbOb9GcKC6pqU1t+CFjQlhcCD47tt6G1PUmSVUnWJlm7ZcuW4XoqSQehqX3QXFUF1G687rKqWlZVy2ZmZgbomSQdvIb8TGE2Dyc5qqo2temhza19I7B4bL9FrU3SlJx93bqn3mkPffK1Lxq8hnbNpEcKNwIr2/JK4Iax9je2s5CWA4+PTTNJkiZksJFCkk8APwXMT7IB+E/Ae4BrklwAfA04p+3+aeB0YD3wbeD8ofolSdqxwUKhql6/g02nzLJvARcO1RdJ0tz4jWZJUmcoSJI6Q0GS1BkKkqTOUJAkdYaCJKkzFCRJ3aQvcyFJ+6yv/N7Dgx7/hf9+waztD7/vC4PWBVjw1hPntJ8jBUlSZyhIkjqnjyTtc6657uuDHv+c184f9Pj7M0cKkqTOUJAkdYaCJKkzFCRJnaEgSeoMBUlSZyhIkjpDQZLU+eU17bJLPv5zg9d427/9zOA1dsWrrvvvg9f4k9f+wuA1pKdiKEj7uDOuvWHQ49941opBj6/9i9NHkqTOUJAkdYaCJKnzM4W94O8+OOyc7I/90rBzypK0jSMFSVLnSGE/dtMVpw16/Fe/+U8HPb6kfY8jBUlSZyhIkjpDQZLU7VOhkOTUJH+bZH2Si6fdH0k62OwzoZDkEOBDwGnAscDrkxw73V5J0sFlnwkF4ERgfVU9UFX/CPwB4EVZJGmCUlXT7gMASc4CTq2qn2/rbwB+oqrest1+q4BVbfXHgb/dzZLzga/v5mv31LRq+54P/LrTrO173n9q//Oqmpltw373PYWqugy4bE+Pk2RtVS3bC13ab2r7ng/8utOs7Xs+MGrvS9NHG4HFY+uLWpskaUL2pVD4G2BpkmOSHAq8Drhxyn2SpIPKPjN9VFVbk7wF+AxwCHBFVd0zYMk9noLaD2v7ng/8utOs7Xs+AGrvMx80S5Kmb1+aPpIkTZmhIEnqDrpQSHJFks1J1k247uIktyW5N8k9SS6aYO1nJvlCki+32u+eVO1W/5AkX0py04TrfjXJ3UnuTLJ2gnUPT3Jtkq8kuS/JSydU923t73ddkk8keeaAtZ70c5TkyCS3JLm/PR8xwdpnt/f+/SSDnCK6g7q/1f6e70pyfZLDJ1T3v7Sadya5Ocnz91a9gy4UgCuBU6dQdyvwy1V1LLAcuHCCl/H4LnByVR0HHA+cmmT5hGoDXATcN8F64366qo6f8Lnk7wf+rKpeCBzHBN57koXAfwCWVdWLGJ2s8boBS17Jk3+OLgbWVNVSYE1bn1TtdcBrgM8NVHNHdW8BXlRVLwb+N/DOCdX9rap6cVUdD9wE/NreKnbQhUJVfQ54dAp1N1XVF9vyNxn9olg4odpVVf/QVp/eHhM5wyDJIuBVwEcmUW/akjwXeAVwOUBV/WNVfWNC5ecBz0oyD3g28P+GKrSDn6MVwOq2vBo4c1K1q+q+qtrdqxvsSd2bq2prW/08o+9XTaLu34+tHsZe/Hk+6EJhX5BkCfAS4PYJ1jwkyZ3AZuCWqppU7fcBvwJ8f0L1xhVwc5I72uVRJuEYYAvw0TZl9pEkhw1dtKo2Ar8N/F9gE/B4Vd08dN3tLKiqTW35IWDBhOtP25uBid2uMMlvJHkQOBdHCvuvJD8EXAe8dbu0H1RVfa8NNRcBJyZ50dA1k7wa2FxVdwxdawdeXlUnMLry7oVJXjGBmvOAE4BLq+olwLcYbhqla/P3KxiF0vOBw5KcN3TdHanRue4HzfnuSd7FaIr46knVrKp3VdXiVvMtT7X/XBkKE5Tk6YwC4eqq+tQ0+tCmMm5jMp+rvAw4I8lXGV319uQkvz+BukD/3zNVtRm4ntGVeIe2AdgwNhK7llFIDO1ngP9TVVuq6p+ATwEnTaDuuIeTHAXQnjdPuP5UJHkT8Grg3JrOF7+uBl67tw5mKExIkjCaZ76vqn5nwrVntp0VkeRZwCuBrwxdt6reWVWLqmoJow89b62qifzvNclhSZ6zbRn4WUYfRg6qqh4CHkzy463pFODeoesymjZanuTZ7d/aKUz+w/0bgZVteSVww4TrT1ySUxlNj55RVd+eYN2lY6sr2Js/z1V1UD2ATzCac/0nRv+ru2BCdV/OaDh9F3Bne5w+odovBr7Uaq8Dfm0Kf+4/Bdw0wXo/Cny5Pe4B3jXB2scDa9uf9x8BR0yo7rvbL4d1wMeAZwxY60k/R8DzGJ11dD/wP4EjJ1j7X7fl7wIPA5+ZUN31wINjP9MfnlDd69rf813AHwML91Y9L3MhSeqcPpIkdYaCJKkzFCRJnaEgSeoMBUlSZyhI20lSSd47tv6OJL8+xS5JE2MoSE/2XeA1SebvzovbBemk/ZKhID3ZVkb3v33b9huSLElya7uW/ZokR7f2K5N8OMntwH9r93E4PCOPJHlj2++qJK9sx/mLJF9sj5PGtp85Vu/qJCsm8aYlMBSkHfkQcG67FPa4DwKra3T9/KuBD4xtWwScVFVvB/4Xo2s//QvgAeAn2z4vBf6K0XWBXlmjC/b9m7HjXA68CfpluE8C/mSvvjNpJwwFaRY1uoLtVYxuXDPupcDH2/LHGF2+ZJtPVtX32vJfMLqvwiuAS4F/2W6E81hVfYvRPS3+R5K7gU8Cx7a6fw4sTTIDvB64rp64Xr80OENB2rH3MbrOzFzvh/CtseXPMRod/CTwWUb3WDiLUVjAaGrqYUZ3ZlsGHDr22quA84DzgSt2q+fSbjIUpB2oqkeBaxgFwzZ/xRO3uTyXJ37Jb//aB4H5wNKqegD4S+AdPHG7yOcCm6rq+8AbGN0+c5srgbe240ziCqtSZyhIO/deRr/ct/kl4PwkdzH6ZX7RTl57O6P79sIoPBYyCgeA3wNWJvky8ELGRhlV9TCjy15/dG+8AWlXeJVUaR+T5NnA3cAJVfX4tPujg4sjBWkfkuRnGI0SPmggaBocKUiSOkcKkqTOUJAkdYaCJKkzFCRJnaEgSer+P4ygBjjUC5n1AAAAAElFTkSuQmCC\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"iVBORw0KGgoAAAANSUhEUgAAAXgAAAEGCAYAAABvtY4XAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/NK7nSAAAACXBIWXMAAAsTAAALEwEAmpwYAAAMkklEQVR4nO3db4xl9V3H8feHXchCAYvuROVPOkQJkSKWdmoLTVoFjf2DRSutoFioxlUTa6vWpoYoaOIj0ZSAYFYtBNuwKgumRlNr1BVrcMss0AV2i8F2KVAIs22lLUZw268P7tns3XF2uDs7v52d375fyWTvPffM+X2HB+89nD33TqoKSVJ/jlnpASRJbRh4SeqUgZekThl4SeqUgZekTq1d6QHGrV+/vqanp1d6DElaNbZt27a7qqYWeu2ICvz09DSzs7MrPYYkrRpJHj/Qa16ikaROGXhJ6pSBl6ROGXhJ6pSBl6ROGXhJ6pSBl6ROGXhJ6pSBl6ROHVHvZD0SvOY3bl/pESStEtt+/90rPcKiPIOXpE4ZeEnqlIGXpE4ZeEnqlIGXpE4ZeEnqlIGXpE4ZeEnqlIGXpE4ZeEnqlIGXpE4ZeEnqlIGXpE4ZeEnqlIGXpE4ZeEnqlIGXpE4ZeEnqlIGXpE41DXySX03ySJKHk9yRZF3L9SRJ+zQLfJLTgF8BZqrqXGANcHmr9SRJ+2t9iWYtcHyStcAJwBcbrydJGjQLfFU9BVwPfAF4Gniuqj45f78kG5LMJpmdm5trNY4kHXVaXqI5BbgUOBM4FXhZkivn71dVG6tqpqpmpqamWo0jSUedlpdofgj4fFXNVdX/AncBFzZcT5I0pmXgvwC8PskJSQJcDOxsuJ4kaUzLa/BbgTuB+4GHhrU2tlpPkrS/tS0PXlXXAte2XEOStDDfySpJnTLwktQpAy9JnTLwktQpAy9JnTLwktQpAy9JnTLwktQpAy9JnTLwktQpAy9JnTLwktQpAy9JnTLwktQpAy9JnTLwktQpAy9JnTLwktQpAy9JnTLwktQpAy9JnTLwktQpAy9JnTLwktQpAy9JnTLwktQpAy9JnTLwktQpAy9JnTLwktQpAy9JnTLwktQpAy9JnTLwktQpAy9JnTLwktQpAy9JnWoa+CQvT3Jnks8m2ZnkgpbrSZL2Wdv4+DcAn6iqy5IcB5zQeD1J0qBZ4JN8C/BG4GqAqnoReLHVepKk/bW8RHMmMAfcmuSBJH+a5GXzd0qyIclsktm5ubmG40jS0aVl4NcCrwZuqarzgeeBD83fqao2VtVMVc1MTU01HEeSji4tA/8k8GRVbR2e38ko+JKkw6BZ4KvqGeCJJGcPmy4GdrRaT5K0v9Z30bwX+NhwB83ngPc0Xk+SNGga+Kp6EJhpuYYkaWG+k1WSOmXgJalTBl6SOmXgJalTBl6SOmXgJalTBl6SOmXgJalTBl6SOmXgJalTBl6SOmXgJalTEwU+yT9Osk2SdORY9NMkk6xj9Iuy1yc5Bcjw0snAaY1nkyQdgpf6uOBfAN4PnApsY1/gvwrc1G4sSdKhWjTwVXUDcEOS91bVjYdpJknSMpjoF35U1Y1JLgSmx7+nqm5vNJck6RBNFPgkfw58F/Ag8I1hcwEGXpKOUJP+yr4Z4JyqqpbDSJKWz6T3wT8MfEfLQSRJy2vSM/j1wI4knwZe2Luxqt7eZCpJ0iGbNPDXtRxCkrT8Jr2L5l9aDyJJWl6T3kXzNUZ3zQAcBxwLPF9VJ7caTJJ0aCY9gz9p7+MkAS4FXt9qKEnSoTvoT5Oskb8GfmT5x5EkLZdJL9G8Y+zpMYzui/+fJhNJkpbFpHfR/OjY4z3ALkaXaSRJR6hJr8G/p/UgkqTlNekv/Dg9yd1Jnh2+Nic5vfVwkqSlm/QfWW8FPs7oc+FPBf5m2CZJOkJNGvipqrq1qvYMX7cBUw3nkiQdokkD/6UkVyZZM3xdCXyp5WCSpEMzaeB/FngX8AzwNHAZcHWjmSRJy2DS2yR/F7iqqr4CkORbgesZhV+SdASa9Az+vL1xB6iqLwPntxlJkrQcJg38MUlO2ftkOIOf9OxfkrQCJo30HwD3Jvmr4fk7gd+b5BuTrAFmgaeq6pKDH1GStBSTvpP19iSzwEXDpndU1Y4J13gfsBPwo4Ul6TCa+DLLEPRJow6M3gELvI3R2f6vHdxokqRDcdAfF3yQPgx8EPjmgXZIsiHJbJLZubm5xuNI0tGjWeCTXAI8W1XbFtuvqjZW1UxVzUxN+eZYSVouLc/g3wC8PckuYBNwUZKPNlxPkjSmWeCr6jer6vSqmgYuB/6pqq5stZ4kaX+tr8FLklbIYXmzUlVtAbYcjrUkSSOewUtSpwy8JHXKwEtSpwy8JHXKwEtSpwy8JHXKwEtSpwy8JHXKwEtSpwy8JHXKwEtSpwy8JHXKwEtSpwy8JHXKwEtSpwy8JHXKwEtSpwy8JHXKwEtSpwy8JHXKwEtSpwy8JHXKwEtSpwy8JHXKwEtSpwy8JHXKwEtSpwy8JHXKwEtSpwy8JHXKwEtSpwy8JHXKwEtSpwy8JHXKwEtSpwy8JHXKwEtSp5oFPskZSf45yY4kjyR5X6u1JEn/39qGx94D/HpV3Z/kJGBbkn+oqh0N15QkDZqdwVfV01V1//D4a8BO4LRW60mS9ndYrsEnmQbOB7Yu8NqGJLNJZufm5g7HOJJ0VGge+CQnApuB91fVV+e/XlUbq2qmqmampqZajyNJR42mgU9yLKO4f6yq7mq5liRpfy3vognwZ8DOqvrDVutIkhbW8gz+DcDPABcleXD4emvD9SRJY5rdJllVnwLS6viSpMX5TlZJ6pSBl6ROGXhJ6pSBl6ROGXhJ6pSBl6ROGXhJ6pSBl6ROGXhJ6pSBl6ROGXhJ6pSBl6ROGXhJ6pSBl6ROGXhJ6pSBl6ROGXhJ6pSBl6ROGXhJ6pSBl6ROGXhJ6pSBl6ROGXhJ6pSBl6ROGXhJ6pSBl6ROGXhJ6pSBl6ROGXhJ6pSBl6ROGXhJ6pSBl6ROGXhJ6pSBl6ROGXhJ6pSBl6ROGXhJ6lTTwCd5c5JHkzyW5EMt15Ik7a9Z4JOsAf4IeAtwDnBFknNarSdJ2l/LM/jvBx6rqs9V1YvAJuDShutJksasbXjs04Anxp4/Cbxu/k5JNgAbhqdfT/Jow5mkpVoP7F7pIXRkyfVXrfQIAK840AstAz+RqtoIbFzpOaTFJJmtqpmVnkM6GC0v0TwFnDH2/PRhmyTpMGgZ+PuAs5KcmeQ44HLg4w3XkySNaXaJpqr2JPll4O+BNcBHquqRVutJjXkZUatOqmqlZ5AkNeA7WSWpUwZekjpl4KVFJPlIkmeTPLzSs0gHy8BLi7sNePNKDyEthYGXFlFV9wBfXuk5pKUw8JLUKQMvSZ0y8JLUKQMvSZ0y8NIiktwB3AucneTJJD+30jNJk/KjCiSpU57BS1KnDLwkdcrAS1KnDLwkdcrAS1KnDLxWjSTXJHkkyfYkDyZ53TIdd0uSmeHx3yV5+QH2e1WSSrKkDx9LsivJ+gW2/2KSdy/lmNJimv3KPmk5JbkAuAR4dVW9MITyuOVep6reusjLVwCfGv78xAIzhtGtx988yDX/+KCGlCbkGbxWi+8EdlfVCwBVtbuqvgiQ5LeT3Jfk4SQbh9DOPzNfn2TX8Pj4JJuS7ExyN3D83kUWOcsO8E7gauCHk6wbtk8neTTJ7cDDwBlJbkkyO/zfxu/MO9QHkzyU5NNJvns4xnVJPjA8/vnhZ/lMks1JTliu/4A6+hh4rRafZBTP/0hyc5I3jb12U1W9tqrOZRTrS17iWL8E/HdVfQ9wLfCaCda/EPh8Vf0nsAV429hrZwE3V9Urq+px4JqqmgHOA96U5LyxfZ+rqu8FbgI+vMA6dw0/y/cBOwHfOaslM/BaFarq64xCvAGYA/4iydXDyz+YZGuSh4CLgFe+xOHeCHx0OO52YPsEI1wBbBoebxqe7/V4Vf372PN3JbkfeGCY5Zyx1+4Y+/OCBdY5N8m/Dj/LT0/ws0gH5DV4rRpV9Q1GZ89bhgBelWQTcDMwU1VPJLkOWDd8yx72ncSsY4mSrAF+Arg0yTVAgG9LctKwy/Nj+54JfAB4bVV9Jclt89auAzze6zbgx6rqM8NfYD+w1Lklz+C1KiQ5O8lZY5teBTzOvnjuTnIicNnYPrvYd/llfPs9wE8Nxz2X0aWUxVwMbK+qM6pquqpeAWwGfnyBfU9mFPznknw78JZ5r//k2J/3LvD9JwFPJzmW0Rm8tGSewWu1OBG4cbiFcQ/wGLChqv4ryZ8w+gfOZ4D7xr7neuAvk2wA/nZs+y3ArUl2MrrOve0l1r4CuHvets2MruXfM75xOPN+APgs8ATwb/O+75Qk24EX2P8yz16/BWxldBlqK6PgS0vip0lKUqe8RCNJnTLwktQpAy9JnTLwktQpAy9JnTLwktQpAy9Jnfo/HQ2KSednknIAAAAASUVORK5CYII=\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"iVBORw0KGgoAAAANSUhEUgAAAX4AAAEGCAYAAABiq/5QAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/NK7nSAAAACXBIWXMAAAsTAAALEwEAmpwYAAAOMElEQVR4nO3df6xfd13H8eeLloWNn1v6ZYyVcBcCI3OiyFXHUH4MI1VhU5yGhmkH0xITEczCMjBxaKIhggoyo6lQymQpjPHDQaIyh7AYx/B2FOm6oQQGdDL6HSUOEBjd3v5xv42X6237vd/ecw7t5/lIbvr9nu+557z7z/Oee+75fk+qCklSOx4y9ACSpH4ZfklqjOGXpMYYfklqjOGXpMasH3qAaWzYsKHm5uaGHkOSjiu7du26t6pGy5cfF+Gfm5tjYWFh6DEk6biS5IsrLfdUjyQ1xvBLUmMMvyQ1xvBLUmMMvyQ1xvBLUmMMvyQ1xvBLUmMMvyQ15rh45+4Pgme85pqhR5B0nNj1xl8feoQj8ohfkhpj+CWpMYZfkhpj+CWpMYZfkhpj+CWpMYZfkhpj+CWpMZ2FP8n2JPuT7Fm2/JVJ7kxye5I/6Wr/kqSVdXnEvwPYtHRBkucBFwE/UlU/BLypw/1LklbQWfir6mbgwLLFvwW8oaq+O1lnf1f7lyStrO9z/E8BfjrJrUk+nuTHD7dikq1JFpIsjMfjHkeUpBNb3+FfD5wGnAe8BrguSVZasaq2VdV8Vc2PRqM+Z5SkE1rf4d8HvL8WfRJ4ENjQ8wyS1LS+w/9B4HkASZ4CnATc2/MMktS0zj6PP8lO4LnAhiT7gKuA7cD2ySWe9wNbqqq6mkGS9P91Fv6q2nyYly7pap+SpKPznbuS1BjDL0mNMfyS1BjDL0mNMfyS1BjDL0mNMfyS1BjDL0mNMfyS1BjDL0mNMfyS1BjDL0mNMfyS1BjDL0mNMfyS1JjOwp9ke5L9k5uuLH/t8iSVxNsuSlLPujzi3wFsWr4wyROAnwW+1OG+JUmH0Vn4q+pm4MAKL/05cAXgLRclaQC9nuNPchFwd1V9eop1tyZZSLIwHo97mE6S2tBb+JOcArwO+P1p1q+qbVU1X1Xzo9Go2+EkqSF9HvE/CTgL+HSSu4CNwG1JHtfjDJLUvPV97aiqPgM89tDzSfznq+revmaQJHV7OedO4Bbg7CT7klzW1b4kSdPr7Ii/qjYf5fW5rvYtSTo837krSY0x/JLUGMMvSY0x/JLUGMMvSY0x/JLUGMMvSY0x/JLUGMMvSY0x/JLUGMMvSY0x/JLUGMMvSY0x/JLUGMMvSY3p8kYs25PsT7JnybI3Jrkzyb8n+UCSx3S1f0nSyro84t8BbFq27Ebg3Kp6GvAfwGs73L8kaQWdhb+qbgYOLFv2kao6OHn6CRZvuC5J6tGQ5/hfDvz9gPuXpCYNEv4kvwccBK49wjpbkywkWRiPx/0NJ0knuN7Dn+RS4IXAS6uqDrdeVW2rqvmqmh+NRr3NJ0knuvV97izJJuAK4DlV9T997luStKjLyzl3ArcAZyfZl+Qy4GrgkcCNSXYn+euu9i9JWllnR/xVtXmFxW/van+SpOn4zl1Jaozhl6TGGH5Jaozhl6TGGH5Jaozhl6TGGH5Jaozhl6TGGH5Jaozhl6TGGH5Jaozhl6TGGH5Jaozhl6TGGH5Jaozhl6TGdHkHru1J9ifZs2TZaUluTPKfk39P7Wr/kqSVdXnEvwPYtGzZlcBNVfVk4KbJc0lSjzoLf1XdDBxYtvgi4J2Tx+8EfrGr/UuSVtb3Of7Tq+ork8f3AKcfbsUkW5MsJFkYj8f9TCdJDRjsj7tVVUAd4fVtVTVfVfOj0ajHySTpxDZV+JPcNM2yKXw1yRmT7z8D2D/DNiRJx+CI4U/ysCSnARuSnDq5Kue0JHPAmTPs7wZgy+TxFuDvZtiGJOkYrD/K668AXg08HtgFZLL8PuDqI31jkp3Ac1n8obEPuAp4A3BdksuALwK/OuvgkqTZHDH8VfUW4C1JXllVb13Nhqtq82Feev5qtiNJWltHO+IHoKremuR8YG7p91TVNR3NJUnqyFThT/K3wJOA3cADk8UFGH5JOs5MFX5gHjhncgmmJOk4Nu11/HuAx3U5iCSpH9Me8W8A9ib5JPDdQwur6sJOppIkdWba8L++yyEkSf2Z9qqej3c9iCSpH9Ne1fMN/u9zdU4CHgp8q6oe1dVgkqRuTHvE/8hDj5OExY9XPq+roSRJ3Vn1p3PWog8CL1j7cSRJXZv2VM+Llzx9CIvX9X+nk4kkSZ2a9qqeFy15fBC4i8XTPZKk48y05/hf1vUgkqR+THsjlo1JPpBk/+TrfUk2dj2cJGntTfvH3XeweBOVx0++PjRZJkk6zkwb/lFVvaOqDk6+dgAz3wg3ye8muT3JniQ7kzxs1m1JklZn2vB/LcklSdZNvi4BvjbLDpOcCfwOMF9V5wLrgJfMsi1J0upNG/6Xs3ibxHuArwAXA5cew37XAycnWQ+cAvzXMWxLkrQK04b/D4EtVTWqqsey+IPgD2bZYVXdDbwJ+BKLP0T+u6o+sny9JFuTLCRZGI/Hs+xKkrSCacP/tKr6+qEnVXUAePosO0xyKovvATiLxT8UP3xy6uj7VNW2qpqvqvnRaOY/J0iSlpk2/A+ZBBuAJKcx/Zu/lvsZ4AtVNa6q7wHvB86fcVuSpFWaNt5/CtyS5L2T578C/NGM+/wScF6SU4BvA88HFmbcliRplaZ95+41SRaACyaLXlxVe2fZYVXdmuR64DYWP/7hU8C2WbYlSVq9qU/XTEI/U+xX2NZVwFVrsS1J0uqs+mOZJUnHN8MvSY0x/JLUGMMvSY0x/JLUGMMvSY0x/JLUGMMvSY0x/JLUGMMvSY0x/JLUGMMvSY0x/JLUGMMvSY0x/JLUGMMvSY0ZJPxJHpPk+iR3JrkjyTOHmEOSWjTrDdOP1VuAf6iqi5OcBJwy0ByS1Jzew5/k0cCzgUsBqup+4P6+55CkVg1xqucsYAy8I8mnkrwtycOXr5Rka5KFJAvj8bj/KSXpBDVE+NcDPwb8VVU9HfgWcOXylapqW1XNV9X8aDTqe0ZJOmENEf59wL6qunXy/HoWfxBIknrQe/ir6h7gy0nOnix6PrC37zkkqVVDXdXzSuDayRU9nwdeNtAcktScQcJfVbuB+SH2LUmt8527ktQYwy9JjTH8ktQYwy9JjTH8ktQYwy9JjTH8ktQYwy9JjTH8ktQYwy9JjTH8ktQYwy9JjTH8ktQYwy9JjTH8ktSYwcKfZN3kZusfHmoGSWrRkEf8rwLuGHD/ktSkQcKfZCPwC8Dbhti/JLVsqCP+NwNXAA8eboUkW5MsJFkYj8e9DSZJJ7rew5/khcD+qtp1pPWqaltVzVfV/Gg06mk6STrxDXHE/yzgwiR3Ae8GLkjyrgHmkKQm9R7+qnptVW2sqjngJcBHq+qSvueQpFZ5Hb8kNWb9kDuvqo8BHxtyBklqjUf8ktQYwy9JjTH8ktQYwy9JjTH8ktQYwy9JjTH8ktQYwy9JjTH8ktQYwy9JjTH8ktQYwy9JjTH8ktQYwy9JjTH8ktSYIe65+4Qk/5xkb5Lbk7yq7xkkqWVD3IjlIHB5Vd2W5JHAriQ3VtXeAWaRpOYMcc/dr1TVbZPH3wDuAM7sew5JatWg5/iTzAFPB25d4bWtSRaSLIzH495nk6QT1WDhT/II4H3Aq6vqvuWvV9W2qpqvqvnRaNT/gJJ0ghok/EkeymL0r62q9w8xgyS1aoiregK8Hbijqv6s7/1LUuuGOOJ/FvBrwAVJdk++fn6AOSSpSb1fzllV/wKk7/1Kkhb5zl1Jaozhl6TGGH5Jaozhl6TGGH5Jaozhl6TGGH5Jaozhl6TGGH5Jaozhl6TGGH5Jaozhl6TGGH5Jaozhl6TGGH5Jaozhl6TGDHXP3U1JPpvkc0muHGIGSWrVEPfcXQf8JfBzwDnA5iTn9D2HJLVqiCP+nwA+V1Wfr6r7gXcDFw0whyQ1qfd77gJnAl9e8nwf8JPLV0qyFdg6efrNJJ/tYTZptTYA9w49hH6w5E1bhh7hkCeutHCI8E+lqrYB24aeQzqSJAtVNT/0HNJqDHGq527gCUueb5wskyT1YIjw/xvw5CRnJTkJeAlwwwBzSFKTej/VU1UHk/w28I/AOmB7Vd3e9xzSGvF0pI47qaqhZ5Ak9ch37kpSYwy/JDXG8EszSLI9yf4ke4aeRVotwy/NZgewaeghpFkYfmkGVXUzcGDoOaRZGH5Jaozhl6TGGH5Jaozhl6TGGH5pBkl2ArcAZyfZl+SyoWeSpuVHNkhSYzzil6TGGH5Jaozhl6TGGH5Jaozhl6TGGH41KckDSXYn+XSS25Kcf5T15471kziTXJjkymPZhrQWvJxTTUryzap6xOTxC4DXVdVzjrD+HPDhqjr3KNtdX1UH13RYaY15xC/Bo4CvAyR5RJKbJr8FfCbJRUvWW5fkb5LcnuQjSU6efM/Hkrw5yQLwqiQvSnJrkk8l+ackp0/WuzTJ1ZPHO5L8RZJ/TfL5JBf3/H9Ww3q/2br0A+LkJLuBhwFnABdMln8H+KWqui/JBuATSW6YvPZkYHNV/WaS64BfBt41ee2kqpoHSHIqcF5VVZLfAK4ALl9hhjOAnwKeCtwAXL/W/0lpJYZfrfp2Vf0oQJJnAtckORcI8MdJng08CJwJnD75ni9U1e7J413A3JLtvWfJ443Ae5KcAZwEfOEwM3ywqh4E9h76rUDqg6d61LyqugXYAIyAl07+fcbkB8NXWfytAOC7S77tAb7/wOlbSx6/Fbi6qn4YeMWS719u6fYy6/zSahl+NS/JU4F1wNeARwP7q+p7SZ4HPHGGTT4auHvyeMvaTCmtHU/1qFWHzvHD4tH2lqp6IMm1wIeSfAZYAO6cYduvB96b5OvAR4Gz1mBeac14OackNcZTPZLUGMMvSY0x/JLUGMMvSY0x/JLUGMMvSY0x/JLUmP8FtXAgLxkuAtIAAAAASUVORK5CYII=\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":"In a large number of countries, we observe that retention is much more compared to UK but it is overriden by the low number of customers. Hence one solution would be to focus on increasing the reach of the company in foreign markets, especially those with low attrition rates, like Netherlands,Iceland,EIRE,Australia etc.\n\nIn addition to that, there must be flexibility of having language compatibility in the online store so that customer in different countries can establish a long term relationship with the store and conduct purchases with ease. Increasing the retention rate at the same time.\n\nKey Observations:\n\n1. In EIRE, no cohort is formed after December, 2010. This is a major point of concern. EIRE is their fourth largest potential market. Additionally, the retention rate of EIRE is better than its counter parts reaching upto 100% after certain periods. This hints that the customer base of EIRE is very loyal. The ecommerce store should do campaigns in EIRE to further tap this potential market and gain more loyal customers, in turn, increases revenue.\n\n2. UK market is their largest customer base. But, most of the returns are also from UK. This is an alarming situation. The store should focus more on the needs and the wants of UK  customer base to increase the revenue even further.\n\n","metadata":{"id":"pRcDiP9JB9jL"}},{"cell_type":"markdown","source":"### Countrywise retention matrix analysis\nAs we observed, people from were many countries were customers. Let's look at the situation countrywise.","metadata":{"id":"gDZGcebgwww-"}},{"cell_type":"markdown","source":"### UK","metadata":{"id":"kDYR0NHUzE0d"}},{"cell_type":"code","source":"# filtering records for UK only\ndfUK = data[data['Country']=='United Kingdom']\n\n# drop irrelevant columns and duplicate records\ndfUK = dfUK[['CustomerID', 'InvoiceNo', 'InvoiceDate']].drop_duplicates()\n\n# order month\ndfUK['order_month'] = dfUK['InvoiceDate'].dt.to_period('M')\n\n# first purchase date for that customer\ndfUK['cohort'] = dfUK.groupby('CustomerID')['InvoiceDate'] \\\n                 .transform('min') \\\n                 .dt.to_period('M')\n\n# a dataframe with cohort, order_month, n_customers, and period number\ndf_cohort = dfUK.groupby(['cohort', 'order_month']) \\\n              .agg(n_customers=('CustomerID', 'nunique')) \\\n              .reset_index(drop=False)\ndf_cohort['period_number'] = (df_cohort.order_month - df_cohort.cohort).apply(attrgetter('n'))\n\n# pivot the df_cohort\ncohort_pivot = df_cohort.pivot_table(index = 'cohort',\n                                     columns = 'period_number',\n                                     values = 'n_customers')\n\n# calculate retention matrix\ncohort_size = cohort_pivot.iloc[:,0]\nretention_matrix = cohort_pivot.divide(cohort_size, axis = 0)\n\n\n# plot the retenton matrix\nwith sns.axes_style(\"white\"):\n    fig, ax = plt.subplots(1, 2, figsize=(12, 8), sharey=True, gridspec_kw={'width_ratios': [1, 11]})\n    \n    # retention matrix\n    sns.heatmap(retention_matrix, \n                mask=retention_matrix.isnull(), \n                annot=True, \n                fmt='.0%', \n                cmap='RdYlGn', \n                ax=ax[1])\n    ax[1].set_title('Monthly Cohorts: User Retention in UK', fontsize=16)\n    ax[1].set(xlabel='# of periods',\n              ylabel='')\n\n    # cohort size\n    cohort_size_df = pd.DataFrame(cohort_size).rename(columns={0: 'cohort_size'})\n    white_cmap = mcolors.ListedColormap(['white'])\n    sns.heatmap(cohort_size_df, \n                annot=True, \n                cbar=False, \n                fmt='g', \n                cmap=white_cmap, \n                ax=ax[0])\n\n    fig.tight_layout()","metadata":{"id":"GoRoWNG2wvQo","outputId":"bd31fb30-cd63-475f-c575-154f11747696","execution":{"iopub.status.busy":"2022-11-19T23:51:13.504106Z","iopub.execute_input":"2022-11-19T23:51:13.504939Z","iopub.status.idle":"2022-11-19T23:51:14.899779Z","shell.execute_reply.started":"2022-11-19T23:51:13.504894Z","shell.execute_reply":"2022-11-19T23:51:14.898590Z"},"trusted":true},"execution_count":90,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 864x576 with 3 Axes>","image/png":"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\n"},"metadata":{}}]},{"cell_type":"code","source":"plt.plot(retention_matrix.mean())\nplt.xlabel('# of periods')\nplt.ylabel('retention rate')\nplt.title('retention rate in the UK')","metadata":{"id":"kdFMLY2dxftA","outputId":"ee7ca177-0ad3-449b-c78c-214026006a8e","execution":{"iopub.status.busy":"2022-11-19T23:51:14.901447Z","iopub.execute_input":"2022-11-19T23:51:14.902442Z","iopub.status.idle":"2022-11-19T23:51:15.076849Z","shell.execute_reply.started":"2022-11-19T23:51:14.902404Z","shell.execute_reply":"2022-11-19T23:51:15.075755Z"},"trusted":true},"execution_count":91,"outputs":[{"execution_count":91,"output_type":"execute_result","data":{"text/plain":"Text(0.5, 1.0, 'retention rate in the UK')"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":"### Germany","metadata":{"id":"EQiOEQThzIZ3"}},{"cell_type":"code","source":"# filtering records for Germany only\ndfGermany = data[data['Country']=='Germany']\n\n# drop irrelevant columns and duplicate records\ndfGermany = dfGermany[['CustomerID', 'InvoiceNo', 'InvoiceDate']].drop_duplicates()\n\n# order month\ndfGermany['order_month'] = dfGermany['InvoiceDate'].dt.to_period('M')\n\n# first purchase date for that customer\ndfGermany['cohort'] = dfGermany.groupby('CustomerID')['InvoiceDate'] \\\n                 .transform('min') \\\n                 .dt.to_period('M')\n\n# a dataframe with cohort, order_month, n_customers, and period number\ndf_cohort = dfGermany.groupby(['cohort', 'order_month']) \\\n              .agg(n_customers=('CustomerID', 'nunique')) \\\n              .reset_index(drop=False)\n\ndf_cohort['period_number'] = (df_cohort.order_month - df_cohort.cohort).apply(attrgetter('n'))\n\n# pivot the df_cohort\ncohort_pivot = df_cohort.pivot_table(index = 'cohort',\n                                     columns = 'period_number',\n                                     values = 'n_customers')\n\n# calculate retention matrix\ncohort_size = cohort_pivot.iloc[:,0]\nretention_matrix = cohort_pivot.divide(cohort_size, axis = 0)\n\n\n# plot the retenton matrix\nwith sns.axes_style(\"white\"):\n    fig, ax = plt.subplots(1, 2, figsize=(12, 8), sharey=True, gridspec_kw={'width_ratios': [1, 11]})\n    \n    # retention matrix\n    sns.heatmap(retention_matrix, \n                mask=retention_matrix.isnull(), \n                annot=True, \n                fmt='.0%', \n                cmap='RdYlGn', \n                ax=ax[1])\n    ax[1].set_title('Monthly Cohorts: User Retention in Germany', fontsize=16)\n    ax[1].set(xlabel='# of periods',\n              ylabel='')\n\n    # cohort size\n    cohort_size_df = pd.DataFrame(cohort_size).rename(columns={0: 'cohort_size'})\n    white_cmap = mcolors.ListedColormap(['white'])\n    sns.heatmap(cohort_size_df, \n                annot=True, \n                cbar=False, \n                fmt='g', \n                cmap=white_cmap, \n                ax=ax[0])\n\n    fig.tight_layout()","metadata":{"id":"dh2zbwlkxmzc","outputId":"f18997e8-8bab-47f8-ab3c-daad55e88b9e","execution":{"iopub.status.busy":"2022-11-19T23:51:15.081179Z","iopub.execute_input":"2022-11-19T23:51:15.081565Z","iopub.status.idle":"2022-11-19T23:51:16.396469Z","shell.execute_reply.started":"2022-11-19T23:51:15.081533Z","shell.execute_reply":"2022-11-19T23:51:16.395354Z"},"trusted":true},"execution_count":92,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 864x576 with 3 Axes>","image/png":"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\n"},"metadata":{}}]},{"cell_type":"code","source":"# plot retention rate\nplt.plot(retention_matrix.mean())\nplt.xlabel('# of periods')\nplt.ylabel('retention rate')\nplt.title('retention rate in Germany')","metadata":{"id":"OoNhBJzpxnp_","outputId":"f174218b-cd25-4559-bfde-f2a7b9aa32d1","execution":{"iopub.status.busy":"2022-11-19T23:51:16.398261Z","iopub.execute_input":"2022-11-19T23:51:16.398621Z","iopub.status.idle":"2022-11-19T23:51:16.577261Z","shell.execute_reply.started":"2022-11-19T23:51:16.398589Z","shell.execute_reply":"2022-11-19T23:51:16.575651Z"},"trusted":true},"execution_count":93,"outputs":[{"execution_count":93,"output_type":"execute_result","data":{"text/plain":"Text(0.5, 1.0, 'retention rate in Germany')"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":"### Australia","metadata":{"id":"RT-wiG1OzL3F"}},{"cell_type":"code","source":"# filtering records for Australia only\ndfAustralia = data[data['Country']=='Australia']\n\n# drop irrelevant columns and duplicate records\ndfAustralia = dfAustralia[['CustomerID', 'InvoiceNo', 'InvoiceDate']].drop_duplicates()\n\n# order month\ndfAustralia['order_month'] = dfAustralia['InvoiceDate'].dt.to_period('M')\n\n# first purchase date for that customer\ndfAustralia['cohort'] = dfAustralia.groupby('CustomerID')['InvoiceDate'] \\\n                 .transform('min') \\\n                 .dt.to_period('M')\n\n# a dataframe with cohort, order_month, n_customers, and period number\ndf_cohort = dfAustralia.groupby(['cohort', 'order_month']) \\\n              .agg(n_customers=('CustomerID', 'nunique')) \\\n              .reset_index(drop=False)\n\ndf_cohort['period_number'] = (df_cohort.order_month - df_cohort.cohort).apply(attrgetter('n'))\n\n# pivot the df_cohort\ncohort_pivot = df_cohort.pivot_table(index = 'cohort',\n                                     columns = 'period_number',\n                                     values = 'n_customers')\n\n# calculate retention matrix\ncohort_size = cohort_pivot.iloc[:,0]\nretention_matrix = cohort_pivot.divide(cohort_size, axis = 0)\n\n\n# plot the retenton matrix\nwith sns.axes_style(\"white\"):\n    fig, ax = plt.subplots(1, 2, figsize=(12, 8), sharey=True, gridspec_kw={'width_ratios': [1, 11]})\n    \n    # retention matrix\n    sns.heatmap(retention_matrix, \n                mask=retention_matrix.isnull(), \n                annot=True, \n                fmt='.0%', \n                cmap='RdYlGn', \n                ax=ax[1])\n    ax[1].set_title('Monthly Cohorts: User Retention in Australia', fontsize=16)\n    ax[1].set(xlabel='# of periods',\n              ylabel='')\n\n    # cohort size\n    cohort_size_df = pd.DataFrame(cohort_size).rename(columns={0: 'cohort_size'})\n    white_cmap = mcolors.ListedColormap(['white'])\n    sns.heatmap(cohort_size_df, \n                annot=True, \n                cbar=False, \n                fmt='g', \n                cmap=white_cmap, \n                ax=ax[0])\n\n    fig.tight_layout()","metadata":{"id":"HSDPrRTZxn01","outputId":"9bcb8928-f8d3-4ca1-c3bf-91a955d03e88","execution":{"iopub.status.busy":"2022-11-19T23:51:16.579404Z","iopub.execute_input":"2022-11-19T23:51:16.579897Z","iopub.status.idle":"2022-11-19T23:51:17.261164Z","shell.execute_reply.started":"2022-11-19T23:51:16.579848Z","shell.execute_reply":"2022-11-19T23:51:17.259844Z"},"trusted":true},"execution_count":94,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 864x576 with 3 Axes>","image/png":"iVBORw0KGgoAAAANSUhEUgAAAxsAAAI4CAYAAAACkfTlAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/NK7nSAAAACXBIWXMAAAsTAAALEwEAmpwYAABmoUlEQVR4nO3deVhU5fvH8c8A4oIiggJumbsluJSWKyoumEiYS2RqavnFNMOtxSWzLLU0t7RUtFzTcCfF1LRSK3PLIr9apmmKBirghiswvz/8Od8IFUY9HAbfr+ua6+Isc577zBxg7rmf5zkWq9VqFQAAAADcY05mBwAAAAAgbyLZAAAAAGAIkg0AAAAAhiDZAAAAAGAIkg0AAAAAhiDZAAAAAGAIkg0gl1uxYoWqVq2qqlWr6vDhw5m279ixw7b9hx9+MDSOZcuW3TK+v/7667bPj4uLU9WqVbVixYp7FtPFixc1c+ZMPfXUU6pdu7b8/f0VFBSkUaNGZRnPreJbunTpPYvvVrZv366pU6cqPT3dsDamTp2qqlWrKjU1NdO2nDzXrAwZMsR2/VatWlU1a9bUU089ddNrLTs2btyoOXPm3OMoM4uLi9PUqVN17NixTNsCAwM1ZMgQw2P4p+3bt6tq1aravn37PT/29OnTVbVqVb300kv3/Nj/NnXqVG3bts2QY1etWlVTp07N0FbVqlUNaQvA/5BsAA7Czc1N0dHRmdavXLlSbm5uhre/cuVKLV++3PB2suvkyZPq1KmTZs+erSZNmujDDz/UrFmz9Nxzz+nnn39W//79zQ7xlnbs2KFp06YZmmw4Ek9PT0VFRSkqKkoTJkxQkSJFNHz4cK1fv97uY+VUsnH8+HFNmzbtpsnGtGnT1LdvX8Nj+Kfq1asrKipK1atXv+fHXrVqlSRp8+bNSk5OvufH/6dp06bpxx9/NLSNGzp16qSoqKgcaQu4n7mYHQCA7GnVqpW++OIL9e/fXxaLRZJ0+fJlrV+/XkFBQfe0YuAIXnvtNZ06dUpLly7Vgw8+aFtfr149Pfvss9q0aZN5wd3CtWvX5OJy//3ZvXr1qlxdXW+5PV++fKpVq5ZtuX79+mratKmWLFmioKCgHIjw3nr44YdzvM3ChQtneA3vlT179ujIkSNq0qSJNm/erJiYGHXt2vWet3MnsrqusuLr6ytfX997GBGAm6GyATiI0NBQnThxQrt377at++qrr2S1WtWqVaubPic6OlpPPvmk/P399fjjj+vVV1/VyZMnM+wTGBioV155RTExMXriiSdUq1YttW/fXrt27bLt061bN+3YsUM//fSTrbtLt27dMhwnOTlZgwcP1iOPPKJGjRrp3Xff1ZUrV255Pp9++qn8/PyUlJSUYb3ValXz5s01cODAWz43NjZW27ZtU+/evTMkGjdYLBa1aNHCtnzt2jVNmjRJgYGB8vPzU2BgoCZNmqRr165lem5aWpqmTJmiRo0aqU6dOnrxxRcVHx+fYZ/sHO9GV6XPPvtM48aNU6NGjeTv76/Ro0dr2rRpkq5/G33j9ZSk1NRUTZ48WS1atLC9Z507d87wXhhl69ateuaZZ/Too4+qdu3aCgoKssV5w2+//aYXX3xRdevWVY0aNfTMM89kim3IkCEKCAjQnj179Mwzz6hGjRoaN26cXbG4ubnpwQcf1N9//51h/bFjxzR48GDVq1dPfn5+Cg0N1VdffZWh7ZUrVyohIcH2ugYGBtq2JyUl6c0331Tjxo3l5+en1q1bZ/pm+0a3wJ9//vmW1/P27dv13HPPSZJ69uxpa+tGF6abdaOKjY1Vjx49VLt2bdWqVUvdu3dXbGzsTV+7ffv26dlnn1XNmjXVqlUrLV68OMvX7GbdqLp166bOnTvrhx9+0FNPPaWaNWuqbdu2GV6zrKxcuVLOzs565513VLJkSa1cuTLTPrfqjjRkyJAMr39W1/eNY8yYMcP2mt7o9nS76yomJkbPPfec6tWrp9q1a6tdu3Y3jTM7cS9cuFBhYWF67LHHVKdOHT399NP69ttvs/diAbip++8rNsBBlSpVSnXr1lV0dLTq1Kkj6Xr3hhYtWqhQoUKZ9o+KitKbb76pNm3aaPDgwTp58qQmTpyo2NhYrVixIkPXq927d+vw4cPq37+/8ufPrylTpujFF1/U119/LXd3d40cOVKvvvqq0tLSNGrUKEnXv0n9p9dee03BwcGaNm2a9uzZo2nTpsnd3V0RERE3PZ/27dtr8uTJWr58uf7zn//Y1n/33XeKi4vTmDFjbvla3Bib8s8PMrczZMgQffnll+rdu7ceffRR7dmzRzNmzFBcXJwmTJiQYd/IyEjVrl1bo0ePVlJSkt577z29+uqrWrBgwR0db8aMGfL399c777yjtLQ0Va9eXZcuXdKyZcu0aNEiOTs72/adNWuW5s2bpwEDBuihhx7ShQsXtHfvXp09e9a2z9SpUzVt2jRt2rRJZcqUydb5Z+XYsWPq06ePgoKC1LdvX+XLl09//fVXhi5C//3vf9WlSxc99NBDeuedd1SwYEEtXrxYPXr00Oeffy4/Pz/bvufPn9egQYP0/PPPa+DAgSpQoIBd8aSlpenvv//OcMy///5bTz/9tLy8vDR06FB5enpq7dq1evnll/XRRx+pefPm6tu3r5KSkvTrr79q+vTpkmT75vvChQvq3Lmzrly5opdfflllypTR1q1b9dZbb+nq1auZkufbXc/Vq1fXm2++qVGjRumNN96Qv7+/JKlSpUo3PZ/ffvtNXbt2VaVKlTR27FhZLBZFRkaqa9euWrJkiapVq2bb98KFCxo8eLC6d++ul156SStWrNBbb72l8uXLq169ena9jtL193b06NEKDw9XsWLFNGfOHPXv319ffvmlypUrd9vnXr16VV9++aUaNGggHx8fPfnkk5o5c6YOHTqkihUr2h1LVtd3VFSUwsLC1L59e4WFhUlShsrDra6rY8eOKSgoSOHh4XJyctLOnTv1xhtv6PLly+rcubNdMR4/flwdO3ZUmTJllJqaqm+++Ua9e/fWrFmzFBAQYPc5AyDZABxKaGio3n//fb3xxhs6e/astm3bplmzZmXa78a384899pgmTZpkW1++fHl16dJFy5cvt30zK13/gLNq1SoVLVpUklS8eHF17NhRmzdvVkhIiCpVqqTChQsrNTX1ll012rZta0ssGjRooNjYWMXExNwy2fDw8FCbNm20ZMkS9erVy9Y1LCoqShUqVNDjjz9+y9fhxjfepUuXvs2rdd2BAwe0Zs0a9evXTy+//LIkqVGjRnJ2dtaUKVP0n//8J8OHvdKlS2dIGJKSkjRu3DglJCTIx8fH7uMVL15cH330ke38pP99gKpZs2aGblU///yzGjZsqO7du9vW/TuhslgscnZ2znC8u/Xf//5X165d09tvv21LIuvXr59hn3HjxqlkyZKaN2+e7QN8o0aN1LZtW3388cf6+OOPbftevHhR48ePz1BdysqNgeyJiYmKjIzUhQsX1KdPH9v2qVOnymq1asGCBSpWrJgkqXHjxoqPj9eHH36o5s2b64EHHpCnp2emblmSNG/ePJ04cUKrV6+2VcMaNGig8+fPa9q0aercuXOG9+J213PhwoVtiUXFihWz7L708ccfy9XVVXPnzpW7u7skqWHDhgoMDNS0adMyVJBSUlI0cuRIW2JRt25dfffdd4qJibmjZCM5OVkLFy60nXP16tXVqFEjffnll3rxxRdv+9yNGzfq3LlzateunSSpXbt2mjlzplauXKlXXnnF7liyur5vvI7e3t43fU1vdV398zzS09P12GOP6dSpU1q8eLHdycbrr7+e4Vj169fXkSNHtHjxYpIN4A7RjQpwIK1bt9bVq1f19ddfa/Xq1SpevHimD4WSdPjwYSUmJurJJ5/MsL5OnToqXbq0du7cmWF9rVq1bImG9L/uDP/uxnI7TZs2zbBcpUoVnThx4rbPefbZZ3X06FHb7DMnT57UN998Y/tW8164ca7/fi1uLP/7tfj3B4oqVapI+t9rYe/xmjdvnu3EwN/fX5s3b9akSZO0a9cuXb16NdM+/fr10759+7KVaGXXQw89pHz58mngwIFat26dEhMTM2y/fPmydu7cqdatW8vJyUmpqalKTU2V1WpVgwYNMnWlypcvn5o1a5bt9hMSElS9enVVr15dAQEB+uyzzzRmzBjVrFnTts/WrVvVpEkTFSlSxNZ+amqqGjVqpN9++00XLly4bRtbt25VzZo1bd9Y//P5Z86c0cGDBzPsfyfX863s3LlTTZs2tSUa0vXKYGBgYKbrpWDBghmSCldXVz344IN33Ha5cuUydDX08vKSl5dXto63atUqFS5c2PbhvkKFCqpZs6a++OKLO5rcIDvX9+3c6ro6cuSIBg0apMaNG9uuo6VLl9509r6s7N27V71791aDBg308MMPq3r16vr+++/v6FgArqOyATiQG//4o6Ojdfz4cYWEhMjJKfN3BmfOnJEklShRItO24sWL27bf8M9EQ/pf15Pbjbn4t5sdI6sPEzVq1FD16tX1+eefq0GDBlq6dKmcnZ1t36TeSsmSJSVd7/JQvnz52+57o4vGv1+LG8v/7KIkXa+4/Ps8pP+9FvYez9vb+7bx/VPv3r3l6uqq1atXa8aMGSpUqJBat26tV199VZ6entk+jiRb96ybfSi8se7GPuXKldPs2bM1a9Ysvfbaa7p69apq1KihV155RY899pjOnj2rtLS0TBWMfx/zxrVYrFixDN3DsuLl5aWZM2fKarXq6NGjmjx5soYNG6aqVavauuskJSVp1apVtpmR/i05OTlT175/SkpK0l9//XXL2Zqy8zth74fjG86ePXvL38V/Xy//TEjuRdv/Po/sHu/UqVP67rvv9MQTT+jq1au2/Vu1aqXx48dr27ZtatiwoV2x3O31fbPrKiUlRc8//7wKFCigwYMH64EHHlC+fPm0ePFiu2fP+/vvv9WjRw9VqlRJb7zxhkqVKmWrWP755592HQvA/5BsAA4mNDRUvXv3Vnp6uiZOnHjTfW58YD516lSmbadPnzZkesw79eyzz2rkyJFKSEjQsmXL1Lp160wf+P+tQYMGmjRpkr755pssk40bH7ZOnz6tBx54wLb+xmtzsw9j9/J49nR3ypcvn8LDwxUeHq5Tp07p22+/1dixY3Xp0iVNnjzZrji9vLwkXa8alC1bNsO2G5ME3NhHuj6LV7169XT16lXt3r1bH374oXr37q1NmzapSJEicnJyUpcuXRQaGnrT9v6Z9NrbxcvFxcU27qFGjRp6+OGH9eSTT+r9999XZGSkpOvX9KOPPpphfM8/+fj43LYNDw8PeXp6avjw4TfdntV1dDeKFi2q06dPZ1p/+vRpu6+/nLJ69WqlpaVpzZo1WrNmTabtK1eutCUb+fPnl5R5dqh/J3B3e33f7Lr6+eefdfz4cX322We2sWzS9YHe9tq6davOnz+vyZMnZxgrcvnyZbuPBeB/6EYFOJiGDRvqiSee0DPPPKPKlSvfdJ/y5curePHiWrt2bYb1P/30k44fP67HHnvM7nZdXV3tqnRkV9u2beXm5qbBgwfrxIkTeuaZZ7J8To0aNVSvXj3NnDnzljfv27hxo6Trfd6l6zPW/NPq1aslye7X4l4c78YHstt9iClRooQ6deqkBg0a6I8//rArxn/GsWHDhkzb1q9fr/z589+0X7yrq6vq16+vXr166eLFi4qLi1OhQoVUp04d/fbbb6pevbr8/f0zPe6lChUqqEuXLtq8ebNtxqbGjRvr999/V+XKlW/a/o3X9FbXaePGjXX48GGVKlXqps+/XVXkZrLzHt5Qt25dbdmyJUNXrwsXLuibb765o9/FnLBy5UqVLl1a8+fPz/Ro3LixNm7caDufUqVKSVKG6/TcuXPas2fPLY9/q+s7X758dv2duXTpku15N5w9e/aOpr6+cax/jt05fPiwfvrpJ7uPBeB/qGwADsbZ2fmWFY1/7hMREaE333xTr7zyip588kklJCRo8uTJevDBB9WhQwe7261YsaIWLVqktWvXqmzZsnJzc1OFChXu9DRsChQooKeeekpz585VlSpV9Mgjj2TreePHj1fPnj3VsWNHde3aVY8++qjy5cunP//8U8uXL1dqaqpatGihKlWqqG3btpo2bZrS0tJUu3Zt7dmzR9OnT1fbtm3tvoPwvTjeja5Bc+bMUUBAgJycnOTv768+ffqoWrVqql69utzd3bVv3z5t3bo1wxiWadOm6eOPP9ZXX31123Eb5cuXV6dOnTRx4kQlJibq8ccfV1pamr799lstWbJE/fr1s32rvnjxYu3atUsBAQEqWbKkkpOTNXPmTHl7e9vGrAwZMkRdu3bVCy+8oI4dO6pEiRJKTk7Wvn37lJaWdkcDhm8nPDxcS5Ys0ccff6wZM2YoIiJCnTp1UpcuXdS1a1eVLl1a586d04EDB3Ts2DGNHTvW9tqeOXNGixYtkp+fn/Lnz6+qVauqR48eWrt2rZ599ln16NFD5cuX16VLl/Tnn39q165dttmrsuvBBx+Ui4uLli9frqJFi8rV1VXly5e/adLSt29fffvtt+rRo4f+85//yGKxaNasWbp06VKO3JXbXvv27dOBAwf08ssv33SihitXrmjr1q1av369OnTooICAABUpUkQjRozQyy+/rKtXr2r27NmZZsnLzvVdqVIlffvtt2rcuLHc3d3l7e1926rVI488osKFC+vtt99WRESELl68qOnTp6tYsWI6f/68XefdoEEDubi46PXXX1fPnj116tQpTZ06VSVLlpTVarXrWAD+h2QDyKPCwsJUoEABffLJJ+rbt6/c3NwUEBCgV1999aZT5WblP//5jw4fPqzhw4fr4sWLeuyxxzJMB3s3Wrdurblz52arqnGDt7e3lixZogULFmjdunWaM2eOUlNTVbp0aTVu3DjDjDdjx45VmTJltHz5ck2fPl3e3t7q1auX+vXrd0fx3u3xmjVrpmeffVaLFi3SRx99JKvVqt9//11169bVunXrtGjRIl26dEklS5ZUr169Msy2Y7ValZaWlq0PP2+//bYqVKiglStXasGCBXJyclLFihX1zjvvqFOnTrb9qlWrpi1bttgSEw8PDz3yyCP64IMPbNOLVq9eXcuWLdO0adP07rvv6vz58/L09NTDDz9s94w/2eHl5aVu3bpp5syZ2rdvnx5++GEtX75cU6dO1cSJE5WcnCwPDw9Vrlw5wxifTp066ZdfftGkSZN07tw5lS5dWl9//bWKFCmizz//XB999JFmzZqlkydPqkiRIipfvvwt71NzO8WKFdOIESM0a9YsdevWTWlpaZo/f/5NP5xXq1ZNCxYs0KRJkzRkyBBZrVbVrFlTCxcuzDBzWW6xcuVKOTk56amnnrrp9kaNGqlkyZJatWqVOnToIHd3d82YMUNjx47VgAED5Ovrq759+2rbtm3asWOH7XnZub5HjBih0aNH68UXX9TVq1czzPp2M56enpo2bZref/99RUREyNvbW88995zOnj2b6T4xWalcubLGjx+vDz/8UH369NEDDzygwYMHa+vWrRnOA4B9LFbSdQAmmzRpkubPn6+tW7fa3Z0FAADkXlQ2AJhm3759Onz4sObPn6+nn36aRAMAgDyGygYA0wQGBur06dNq1KiRxo0bR7IBAIBJhg4dqm+//VZeXl43nYXOarVq9OjR2rx5swoUKKD33nsvW7NbkmwAAAAA97mdO3eqUKFCev3112+abGzevFkLFizQrFmz9Msvv2j06NFaunRplsdl6lsAAADgPle3bt3b3vtn06ZNateunSwWi2rVqqVz587Z7tt0O4zZyKMsfeqZHQIkpfdtbXYId83i/5bZIdz3rL++ZXYIdy0vXEd54X1wdFxHuBdy43WUE5/bPm86UFFRUbblsLCwDFNPZyUhISHDDS99fX2VkJAgb2/v2z6PZAMAAADI4+xNLu4Vkg0AAADARBYni9khZMnHx0fx8fG25fj4+NvedPMGxmwAAAAAuK3AwECtWrVKVqtVP//8s4oUKZJlFyqJygYAAABgqtxQ2Rg0aJB27Nih5ORkBQQE6OWXX1ZqaqokqXPnzmrSpIk2b96sli1bqmDBghozZky2jkuyAQAAANznJk6ceNvtFotFI0eOtPu4JBsAAACAiXJDZcMojNkAAAAAYAgqGwAAAICJqGwAAAAAgJ2obAAAAAAmsliobAAAAACAXahsAAAAACZizAYAAAAA2InKBgAAAGAiKhsAAAAAYCcqGwAAAICJqGwAAAAAgJ2obAAAAAAmorIBAAAAAHaisgEAAACYiMoGAAAAANiJygYAAABgIiobAAAAAGAnKhsAAACAiahsAAAAAICdqGwAAAAAJrJYqGwAAAAAgF2obAAAAAAmYswGAAAAANiJygYAAABgIiobAAAAAGAnKhsAAACAiahsAAAAAICdqGwAAAAAJqKyAQAAAAB2orIBAAAAmIjKBgAAAADYicoGAAAAYCIqGwAAAABgJyobAAAAgImobAAAAACAnahsAAAAACaisgEAAAAAdqKyAQAAAJjIYqGyAQAAAAB2MSTZSEtL0+eff67Jkydr9+7dGbZ9/PHHRjQJAAAAOCSLk8Xwh1kMSTbefPNN7dy5Ux4eHho9erTGjh1r2/bVV18Z0SQAAACAXMaQZCM2NlYTJkxQjx49tGTJEl28eFH9+vXT1atXZbVajWgSAAAAcEhUNux07do1288uLi565513VK1aNT333HO6ePGiEU0CAAAAyGUMSTb8/Py0ZcuWDOv69eunDh066Pjx40Y0CQAAADikvFzZMGTq2w8++OCm6zt16qROnToZ0SQAAACAXCbHp779/vvvc7pJAAAAINdycjL+Ydq55XSDw4cPz+kmAQAAAJjAkG5UL7744i23nTlzxogmAQAAAIfknIfvIG5IsrF7926NHz9ehQoVyrDearUqNjbWiCYBAAAA5DKGJBs1a9ZUgQIF9Nhjj2XaVr58eSOaBAAAABySs4mzRRnNkGRj9uzZt9z22WefGdEkAAAAgFwmxwaIf/PNNznVFAAAAOAwnC0Wwx9mMaSycTMffvihmjVrllPN3ZW///5br732mhITE2WxWPT000+re/fuZodlqE+6DVdb/4Y6eT5Z/u90kSQVK+SuqF7v6kGvkjqS+Leenj1cZy6elyRNeXqQ2lSvr4tXr6jH/He059jvquLzgBY9P0r5nFzUe9F7+vHwXjk7OWvdy5P15Mev6NK1K8Rvh8A+X8itoIucnSxydnLS8nFBOnP+igZN+l7HT6aotLebJg1qpKKFXbX+x2Oa+nmsihbOr2mvN1axIvl1NP68Ji2K1aRBDXM0buQuXEe5g6O/D44ef16RF96HvHAOsE+OVTasVmtONXXXnJ2dNWTIEK1du1ZRUVFatGiRDh48aHZYhpq7LUatpw7MsG5I0HPa9NtOVRnZSZt+26khrZ6TJD1Rvb4qe5dV5ZGdFL5orKZ3fk2S1LvRU+q/ZJLafDRQr7S8/oG/T0B7Ldy+zvAP6o4e/63Mf6u5Vn3whJaPC5IkzVq1T/X8fbV+Wojq+ftq1sp9kqSFaw9o6ftBCmtVUWu2/iVJmrw4Vv071zAlbuQuXEe5g6O/D44ef16RF96HvHAO95qzk/GP7NiyZYuCgoLUsmVLRUZGZtp+/Phxde/eXSEhIerWrZvi4+OzPGaOJRujRo3Kqabumre3t6pXry5JKly4sCpUqKCEhASTozLW1oM/KynlXIZ1oTUba96PayVJ835cq3a1Av5/fYDm///67Yf/K49CheXr7qVraakq5JpfhVwL6FpaqooWLKwQ/0aav30t8d8jm3YeV7um1ydZaNe0vDbujJN0/WY9V6+l69KVNOVztmjXvpMq4VFQD5YsYma4yKW4jnIHR38fHD3+vCIvvA954RzygrS0NI0aNUqzZ89WTEyM1qxZk+nL9vfff1/t2rXT6tWr1bdvX02YMCHL4xrWjerQoUPatGmTTp48Ken6B3g3NzdVrFjRqCYNERcXp/3796tmzZpmh5LjfIp4Kv5coiQp/lyifIp4SpJKe5TQseSTtv3ikk+qtEcJfbR5meb3GKn8LvnUe9H7GtHmeY1ZN8+0qpajx2+xSC+8841kkcJaVlJYy0pKPHNZ3sUKSpJKeBRQ4pnLkqTwpx5Wz1Ffy7tYQY2PqK/+E77XxIENTIkbuQvXUe7g6O+Do8efV+SF9yEvnIMRcsN9NmJjY1WuXDmVLVtWkhQcHKxNmzapUqVKtn0OHTqkoUOHSpLq1aunl156KcvjGpJsREZGKiYmRsHBwfL395ckJSQkaNCgQQoODlZ4eLgRzd5zKSkpioiI0LBhw1S4cGGzwzGdVbf/0H0sOUHNJvWVJFUsUUZlPLy1P/6I5vcYKVfnfBqxeqb+OHksJ0K9KUeLf9E7LeTjVUiJZy/r+VHfqEJp9wzbLRaLbvxtalizpBrWLClJWvXtYTV5pKSO/H1en87cqaJurhr2/CMqmD/HhmghF+E6yh0c/X1w9PjzirzwPuSFc8irEhIS5Ovra1v28fHJdH+8atWqacOGDerevbu++uorpaSkKDk5WcWKFbvlcQ3pRrV8+XItW7ZM4eHhCg0NVWhoqMLDw7V06VItW7bMiCbvuWvXrikiIkIhISFq1aqV2eGYIuF8knzdvSRJvu5eOnk+WZJ0/MwplS3mbduvTDFvHT9zKsNzRz/5ot74YqYimj2t2d9/oddWTtPI4F45F7wcP34fr+s3xfQqWkAtHiuj2D8S5eVRQCeTL0mSTiZfkmfRAhmec+lKqlZ++6eebV1FU6N+1Xv96umRh4pr9ZYjORo7cg+uo9zB0d8HR48/r8gL70NeOAcj5MRsVFFRUWrfvr3tERUVZXecr732mnbu3Kl27dppx44d8vHxkbOz822fY0iyYbFYbN2n/unUqVOy5IIyUVasVquGDx+uChUqqGfPnmaHY5ovYreqe702kqTu9doo+pettvXP/f/6x8tX19lLF2zdlSQpoHJtnTh7SgdPHVMh1/xKt6Yr3ZquQq75iT+bLl5O1YVL12w/f/9LvKo8UFSBdUpr1beHJV3/lqd53dIZnvdJ9H51a1NV+VycdOVqmiwWycli0eWraTkWO3IPrqPcwdHfB0ePP6/IC+9DXjgHRxYWFqYVK1bYHmFhYRm2+/j4ZBjwnZCQIB8fn0z7TJs2TatWrdLAgdcn5nF3z1id+jdDak/Dhg1Tjx49VK5cOZUseb38deLECR09elQjRowwosl7avfu3YqOjlaVKlUUGhoqSRo0aJCaNGlicmTGWfT8KDWt8oiKF/bQsTFfaOSaWXpv/Xwt6TVaLzR8Un8lxevpWcMlSWv3/qA2fg10cNQyXbx6WT3nv5vhWG880VNhs9+QJEV+F63Per4tFydn9Vk8jvizKfHsZfUbdz05SktLV9vGD6px7VLyq+SlgRO+1/JNh1SqhFuGqf8Ski7q14NJ6vf09a6LXZ+ook6vr1cRN1d99FrjHIsduQfXUe7g6O+Do8efV+SF9yEvnINRcsMdxP39/XXkyBEdO3ZMPj4+iomJyTQAPCkpSR4eHnJyclJkZKQ6dOiQ5XEtVoNGv6anpys2NtY2i5OPj4/8/f2zLLXg3rD0qWd2CJCU3re12SHcNYv/W2aHcN+z/vqW2SHctbxwHeWF98HRcR3hXsiN11HthWFZ73SX9nTNutvU5s2bNWbMGKWlpalDhw7q06ePpkyZIj8/PzVv3lzr1q3TxIkTZbFYVKdOHY0cOVKurq63PaZho2qcnJxUq1atTOtTUlLk5uZmVLMAAACAQ3E2v7AhSWrSpEmmnjz9+/e3/dy6dWu1bm3fF6k5dp+NG4KDg3O6SQAAACDXun5HdWMfZjGksjFnzpybrrdarbp48aIRTQIAAADIZQxJNiZOnKgXXnhBLi6ZD5+enm5EkwAAAIBDyg039TOKIclG9erV1aJFC/n5+WXatnTpUiOaBAAAAJDLGJJsjBkzRh4eHjfdtnz5ciOaBAAAABxSbpj61iiGJBsVKlS45bbixYsb0SQAAACAXMaQZOP8+fOaOXOmNm7cqKSkJFksFnl6eqp58+YKDw/P8k6DAAAAwP0it0x9awRDpr4dMGCA3N3dtWDBAu3YsUPbt2/X/Pnz5e7urgEDBhjRJAAAAIBcxpDKRlxcnD755JMM60qUKKHw8HDGbAAAAAD/kJfHbBhS2ShdurRmzZql06dP29adPn1akZGRKlmypBFNAgAAAMhlDKlsTJo0SZGRkeratasSExNlsVjk5eWlwMBATZ482YgmAQAAAIfEfTbsVLRoUbVv314NGzZUzZo15ebmZtu2ZcsWBQQEGNEsAAAAgFzEkG5U8+fPV9++fbVw4UKFhIRo48aNtm2TJk0yokkAAADAITlbLIY/zGJIZWPp0qVasWKF3NzcFBcXp4iICB0/flzdu3eX1Wo1okkAAAAAuYwhyUZ6erqt61SZMmW0YMECRURE6MSJEyQbAAAAwD84G9LXKHcw5NS8vLy0f/9+27Kbm5tmzpyp5ORkHThwwIgmAQAAAOQyhlQ2xo0bJ2dn54wNubho3LhxCgsLM6JJAAAAwCExG5WdfH19b7nt0UcfNaJJAAAAALmMIckGAAAAgOzhDuIAAAAAYCcqGwAAAICJ8vKYDSobAAAAAAxBZQMAAAAwEffZAAAAAAA7UdkAAAAATMSYDQAAAACwE5UNAAAAwETcZwMAAAAA7ERlAwAAADARYzYAAAAAwE5UNgAAAAATcZ8NAAAAALATlQ0AAADARIzZAAAAAAA7UdkAAAAATOScdwsbVDYAAAAAGIPKBgAAAGAiJ8ZsAAAAAIB9qGwAAAAAJmLMBgAAAADYicoGAAAAYCInKhsAAAAAYB8qGwAAAICJGLMBAAAAAHaisgEAAACYyCkPD9qgsgEAAADAEFQ2AAAAABMxZgMAAAAA7ERlAwAAADBRHh6yQWUDAAAAgDGobAAAAAAmYswGAAAAANiJygYAAABgIidL3i1tUNkAAAAAYAgqGwAAAICJGLMBAAAAIE/bsmWLgoKC1LJlS0VGRmbafuLECXXr1k3t2rVTSEiINm/enOUxqWwAAAAAJsoN99lIS0vTqFGjNGfOHPn4+Khjx44KDAxUpUqVbPtMnz5dTzzxhJ599lkdPHhQ4eHh+vrrr297XCobAAAAwH0uNjZW5cqVU9myZeXq6qrg4GBt2rQpwz4Wi0UXLlyQJJ0/f17e3t5ZHpfKBnIt68djzQ7hrl2dPM3sEO7exg5mR3BXlg3aa3YIkNRx4q9mh3DXHP1a6vJiMbNDuGufzVhsdgh3reNEP7NDuGuuA5ebHUKe45wDs1FFRUUpKirKthwWFqawsDDbckJCgnx9fW3LPj4+io2NzXCMfv366YUXXtDChQt16dIlzZkzJ8t2STYAAACAPO7fycWdiImJ0VNPPaXnn39ee/bs0WuvvaY1a9bIyenWnaXoRgUAAACYyMli/CMrPj4+io+Pty0nJCTIx8cnwz7Lli3TE088IUmqXbu2rly5ouTk5Nufm/0vBwAAAIC8xN/fX0eOHNGxY8d09epVxcTEKDAwMMM+JUuW1LZt2yRJhw4d0pUrV+Tp6Xnb49KNCgAAADBRbrjPhouLi95880316tVLaWlp6tChgypXrqwpU6bIz89PzZs315AhQ/TGG29o7ty5slgseu+992TJYrwJyQYAAAAANWnSRE2aNMmwrn///rafK1WqpM8//9yuY5JsAAAAACa6zfhqh5eHTw0AAACAmahsAAAAACbKiftsmIXKBgAAAABDUNkAAAAATJSd+2A4KiobAAAAAAxBZQMAAAAwUW64z4ZRqGwAAAAAMASVDQAAAMBEjNkAAAAAADtR2QAAAABMxH02AAAAAMBOVDYAAAAAE+XlMRskGwAAAICJmPoWAAAAAOxEZQMAAAAwkRMDxAEAAADAPlQ2AAAAABMxZgMAAAAA7ERlAwAAADARYzYAAAAAwE5UNgAAAAATUdkAAAAAADtR2QAAAABMRGUDAAAAAOxEZQMAAAAwkZMl737/n3fPDAAAAICpqGwAAAAAJmLMBgAAAADYicoGAAAAYCIqGwAAAABgJyobAAAAgImobAAAAACAnahsAAAAACZyysPf/+fdMwMAAABgKiobAAAAgIkYswEAAAAAdqKyAQAAAJiIygYAAAAA2InKBgAAAGAiJ0ve/f4/x89sxIgROd0kAAAAABMYUtk4c+bMTddbrVZt3rzZiCYBAAAAh5SXx2wYkmzUr19fpUqVktVqta2zWCyyWq1KSkoyokkAAAAAuYwhyUbZsmU1d+5clSpVKtO2Jk2aGNEkAAAA4JDycmXDkDEb3bt317lz5266rVevXkY0CQAAACCXMaSy0aVLl1tu69atmxFNAgAAAA4pL1c2DJv69tChQ9q0aZNOnjwpSfL29lbz5s1VsWJFo5oEAAAAkIsY0o0qMjJSgwYNkiT5+/vL399fkjRo0CBFRkYa0SQAAADgkJwsToY/zGJIZWP58uVas2aN8uXLl2F9jx491LZtW4WHhxvRLAAAAIBcxJA0x2Kx2LpP/dOpU6dkycN90gAAAAB7Ocli+MMshlQ2hg0bph49eqhcuXIqWbKkJOnEiRM6evQodxAHAAAA7hOGJBsBAQFav369YmNjlZCQIEny8fGRv7+/nJ2djWgSAAAAcEjMRnUHnJycVKtWLdtyVFRUhmUAAAAAeVuODU3//PPPc6qpeyIwMFAhISEKDQ1V+/btzQ7HcJ90G66EcWv164jPbOuKFXLXhogPdeDtpdoQ8aE8ChWxbZvy9CD98fZS/TJ8oWqXrSpJquLzgHYNnatfhi9UvfJ+kiRnJ2d91X+qCubLn6Pnc+7cRUVEzFTrJ0bqiTZvac+eP3XmTIp6Pj9ZrYJGqOfzk3X2bIokaf36nxTc9m092+UDJSdfkCQdPXpKAwbOytGYb8riJJcu4+USOvT6sru3XJ4Zq3w9p8m5zSDJ6fr3BU61npBLt0lyaTfcts5Sqpqcm/QwKfD/58DxFyrjq+Zfz1fwf2PUZu8aVY14TpLkWqyomm34VCEH1qvZhk+Vz8NdklS2fSu12btGLbZ8JldPD0lS4Qpl1fDzSWadQp44BxuupRx/H/LS/wVHfQ9uyoF/F3BreXk2qhxr2Wq15lRT98y8efMUHR2tFStWmB2K4eZui1HrqQMzrBsS9Jw2/bZTVUZ20qbfdmpIq+t/nJ+oXl+Vvcuq8shOCl80VtM7vyZJ6t3oKfVfMkltPhqoV1pev7Fjn4D2Wrh9nS5du5Kj5zN69BI1blxd6758W9Gr3lDFir6KnLVO9etV04b176h+vWqKnLVekrRw4TdatnSowsIaa82anZKkyZOjNaD/kzka88041Q6WNem4bdm5cTel/7RG1+b0k65ckJNf8+v7VQtQ6oJBSj/xmywP1rq+7+OdlPbjMjPCtnHk+NNT0/TT4PcUUz1YG+qFqfJLz8r9oYp6eEi4EjZt0+oqQUrYtE3Vh1yfXa/Ky121vm5HHZwZpQefbStJqvHuAMW+MZlzuAe4lnL+fchL/xcc9T24GUf+XUDut2XLFgUFBally5Y3vV3FmDFjFBoaqtDQUAUFBalOnTpZHjPHko0ZM2bkVFO4A1sP/qyklHMZ1oXWbKx5P66VJM37ca3a1Qr4//UBmv//67cf/q88ChWWr7uXrqWlqpBrfhVyLaBraakqWrCwQvwbaf72tTl6LufPX9LOXX+oY8eGkiRXVxe5uxfSpk2xateuviSpXbv62rjxF0mSxclJV69e0+VLV+WSz1m7dv2h4iXc9eCDPjkadyaFPeVU/hGl791oW+VU1k/pf2yTJKXv+1ZOFR/73/7OzrLkyy+lpcrpoSZKP/KTdOVCTkf9Pw4e/+X4U0res0+SlHohRef2/6lCpX1UJrS5/py3SpL057xVKtOuhSTJmm6VU35XORcqoPRrqSrR6FFdjj+t8wf/MusU8sQ5SOJaMul9yEv/Fxz1PcjEwX8XcGtOFovhj6ykpaVp1KhRmj17tmJiYrRmzRodPHgwwz7Dhg1TdHS0oqOj1bVrV7Vs2TLrc7vjV8VOvr6+kq7fg8NRvPDCC2rfvr2ioqLMDsUUPkU8FX8uUZIUfy5RPkU8JUmlPUroWPL/pjaOSz6p0h4l9NHmZRrWuofmdX9TY9bN04g2z2vMunk5XtWKizstT8/CGjp0nto9NVrD31igixevKDHxnLy9i0qSSpRwV2Li9X+ivcOD1LPnFH3zTazaBtfVxx+vVd8+wTka8824NH1eaVsXSDdevwJFpCspkjVdkmQ9nygVvv6epP+yTi7PjJWKFJf1xG9yeriZ0n9ZZ1bokhw//n9yK1daxWo/pNPbf1EBHy9djj8l6foHmAI+XpKkfWNnqvnGOSoT0kx/LV4jvxF9tfedj80MOwNHPgeupdzxPkiO+3/hnxz5PchLvwvIfWJjY1WuXDmVLVtWrq6uCg4O1qZNm265f0xMjNq2bZvlcQ0bIH4rU6dOVYcOHXK6WbstXrxYPj4+SkxMVM+ePVWhQgXVrVvX7LBMZdXt/zkcS05Qs0l9JUkVS5RRGQ9v7Y8/ovk9RsrVOZ9GrJ6pP04eMzzO1NR07dt3TCPeeEY1a5bXu6OjbF2mbrBYLLZ7vjRs+LAaNnxYkrRq1Y8KaOKnI0cS9OmnX8m9aCENHxamggVdDY87Q3zlH5X14llZT/4pS5nqWe6fvn+z0vdvliQ5Pd5JaT+vleXB2nJ+uKms508rbfM8KYv3715y9Pj/ycWtkBov/1C7B4xR6vmUzDv8/z/9+I0/aF2dHyRJ5buF6sTaLSpS5UE99Mrzupp8Trv7j1bapcs5GbqNI58D11LueB9uxVH+L9zgyO9BXvpdQGY5MRtVVFRUhi/Qw8LCFBYWZltOSEiwFQek6zPJxsbG3vRYx48fV1xcnOrVq5dlu4YkGyEhIbfcdvr0aSOavOd8fK53ofHy8lLLli0VGxt73yUbCeeT5OvupfhzifJ199LJ88mSpONnTqlsMW/bfmWKeev4mVMZnjv6yRf1xhczFdHsac3+/gsdSfxbY0L7qOuckYbH7evrIV8fD9WsWV6S1DroEUXOWi8vL3edPHlW3t5FdfLkWXl6FsnwvEuXrmrFym36ZHaEXnzxI02d2lvr1/+k1au36+mnGxse9z85laompwp15fTgI5JLPsm1kJybPi/ld5MsTpI1XZYiXtKFpIxPdCsmJ99KSt2+VC6dRil12VtyeryDLA/4y3r05n8wiP/WLC4uarz8Qx35bLXiVn4lSbqckKgCviWufwvqW0KXT2Y8B+eCBVS+R3t9E/SCmq6ZoS3tX9YDHYP0YJcQHZq9lHOwE9dS7ngfbnDU/wuS478HeeV3Aeb5d3JxN2JiYhQUFJStW1oY0o0qMTFR48aN04wZMzI8pk+fLg8PDyOavKcuXryoCxcu2H7+/vvvVblyZZOjynlfxG5V93ptJEnd67VR9C9bbeuf+//1j5evrrOXLtjK6pIUULm2Tpw9pYOnjqmQa36lW9OVbk1XIdecmXmkRImi8i3pqT//jJckbdv2mypWLKnAwBpatep6v9ZVq7apefMaGZ73yScb9Fy3ZsqXz1mXr1y9Xv1wsujS5as5Evc/pX3/ma7NDte1T/sode0kWY/9qrR1U2Q9tldOla+PO3F6uKnSD+3I8DznBp2Vtu3/Z35zcb3+LZ3VKrnk7Gxgjh7/DfU+Ga2z+//Ub5Pm2tbFffG1KnRvJ0mq0L2d4qIzlpgfevUFHfhwvqypqXIuWECyWmVNt8qlUMEcjPx/HP0cuJZyx/twg6P+X5Ac/z3IK78LuLncMBuVj4+P4uPjbcsJCQm2L9//be3atQoOzl6Xc0MqG02bNlVKSooeeuihTNsef/xxI5q8pxITE/XSSy9Juj5Ypm3btgoICDA5KmMten6UmlZ5RMULe+jYmC80cs0svbd+vpb0Gq0XGj6pv5Li9fSs4ZKktXt/UBu/Bjo4apkuXr2snvPfzXCsN57oqbDZb0iSIr+L1mc935aLk7P6LB6XY+cz4o0wvfLqp7p2LU1lyxbX2DHPKT3dqgEDZ2nZ8u9VqpSXJk/6j23/hIQziv31iPr1u973sGvXZurYaayKFCmojz/qk2NxZyX1u4VyaTNQzg07y3rysNL++79/jJYS1ys51pOHJUnpv22Vy3OTpPOnlbprlRnhZuJI8Zdo+KjKP9dOybG/64k919v/ZdhE7XsvUo2WTFbFFzoq5a8T+u7pAbbnFCzpLa/HamjvqI8kSb9PXaignct07cx5bWnXl3O4h7iWjJeX/i846nuQHY70u4Dczd/fX0eOHNGxY8fk4+OjmJgYTZgwIdN+hw4d0rlz51S7du1sHddidcQ5aZElS5+s+9DldtaPx5odwl27Onma2SHc95YN2mt2CJDUcaKf2SHcNUe/lrq8WMzsEO7aZzOSzQ7hruWF3wXXgY4z2Y+jiE00/jNPDa+hWe6zefNmjRkzRmlpaerQoYP69OmjKVOmyM/PT82bX59WeerUqbpy5YpeeeWVbLWb4wPEU1JS5ObmltPNAgAAALiNJk2aqEmTJhnW9e/fP8Pyyy+/bNcxc/x2gtnt3wUAAADcD5xkMfxhFkMqG3PmzLnpeqvVqosXLxrRJAAAAIBcxpDKxsSJE3X27FmlpKRkeFy8eFHp6elGNAkAAAA4pNxwB3GjGFLZqF69ulq0aCE/v8yDoJYuNWducAAAAAA5y5BkY8yYMbe8n8by5cxgAAAAANyQnftgOCpDko0KFSrcclvx4sWNaBIAAABALmNIsnH+/HnNnDlTGzduVFJSkiwWizw9PdW8eXOFh4fL3d3diGYBAAAAh2PmmAqjGVKzGTBggNzd3bVgwQLt2LFD27dv1/z58+Xu7q4BAwYY0SQAAACAXMaQZCMuLk7h4eEqUaKEbV2JEiUUHh6u48ePG9EkAAAA4JAsFifDH2YxpOXSpUtr1qxZOn36tG3d6dOnFRkZqZIlSxrRJAAAAIBcxpAxG5MmTVJkZKS6du2qxMREWSwWeXl5KTAwUJMnTzaiSQAAAMAhORnz/X+uYEiyUbRoUbVv314NGzZUzZo15ebmZtu2ZcsWBQQEGNEsAAAAgFzEkDRq/vz56tu3rxYuXKiQkBBt3LjRtm3SpElGNAkAAAA4pLw8ZsOQysbSpUu1YsUKubm5KS4uThERETp+/Li6d+8uq9VqRJMAAAAAchlDko309HRb16kyZcpowYIFioiI0IkTJ0g2AAAAgH/Iy3cQN+TMvLy8tH//ftuym5ubZs6cqeTkZB04cMCIJgEAAADkMoZUNsaNGydnZ+eMDbm4aNy4cQoLCzOiSQAAAMAhWZiNyj6+vr633Pboo48a0SQAAACAXMaQZAMAAABA9jBmAwAAAADsRGUDAAAAMFFeHrORd88MAAAAgKmobAAAAAAmYswGAAAAANiJygYAAABgIguVDQAAAACwD5UNAAAAwEROefj7f5INAAAAwER0owIAAAAAO1HZAAAAAEzE1LcAAAAAYCcqGwAAAICJLHI2OwTDUNkAAAAAYAgqGwAAAICJGLMBAAAAAHaisgEAAACYyJKHv//Pu2cGAAAAwFRUNgAAAAATMWYDAAAAAOxEZQMAAAAwkYXKBgAAAADYh8oGAAAAYCKnPPz9f949MwAAAACmorIBAAAAmOi+H7Mxfvz4bK0DAAAAgBuylWz88MMPmdZt2bLlngcDAAAA3G+cLE6GP8xy225UixYt0uLFi3X06FGFhITY1qekpOiRRx4xPDgAAAAAjuu2yUZISIgCAgI0ceJEDR482Lbezc1NHh4eRscGAAAA5HmWPDxn022TjSJFiqhQoULat2+fSpcunVMxAQAAAMgDspyNytnZWeXLl9eJEydUqlSpnIgJAAAAuG+YOabCaNma+vbcuXMKDg5WjRo1VLBgQdv6GTNmGBYYAAAAAMeWrWSjf//+RscBAAAA3Jfu2zEbNzz22GM6ffq0fv31V0lSjRo15OXlZWhgAAAAABxbttKotWvXqlOnTlq3bp2+/PJL288AAAAA7s59e5+NG2bMmKFly5bZqhlJSUnq0aOHWrdubWhwAAAAAHLGli1bNHr0aKWnp6tTp04KDw/PtM/atWs1bdo0WSwWVatWTRMmTLjtMbOVbFit1gzdpjw8PGS1Wu0MHwAAAMC/WXLBbFRpaWkaNWqU5syZIx8fH3Xs2FGBgYGqVKmSbZ8jR44oMjJSixcvVtGiRZWYmJjlcbOVbDRq1EgvvPCCgoODJV3PaAICAu7wVAAAAADkJrGxsSpXrpzKli0rSQoODtamTZsyJBtLlixRly5dVLRoUUnK1hjubCUbr7/+utavX6+ffvpJkhQWFqaWLVvafRKAXSzNzI7grrkOdPxzcHTPDjQ7AkiSpU89s0O4a1br72aHcFeeNTuAe2G62QEAxrDkQIehqCVRioqKsi2HhYUpLCzMtpyQkCBfX1/bso+Pj2JjYzMc48iRI5KkZ555Runp6erXr1+WBYhsJRuSFBQUpKCgoOzuDgAAACCX+HdycSfS0tL0119/acGCBYqPj1fXrl21evVqubu73/I52Uo2NmzYoA8++ECJiYmyWq2yWq2yWCy2SgcAAACAO2RNN74Ny+03+/j4KD4+3rackJAgHx+fTPvUrFlT+fLlU9myZfXggw/qyJEjqlGjxi2Pm63RKOPHj9f06dO1e/du/fTTT9qzZw+JBgAAAJBH+Pv768iRIzp27JiuXr2qmJgYBQYGZtinRYsW2rFjh6Trs9MeOXLENsbjVrJV2fDy8lLFihXvMHQAAAAAt5QTlY0suLi46M0331SvXr2UlpamDh06qHLlypoyZYr8/PzUvHlzNW7cWN9//73atGkjZ2dnvfbaaypWrNhtj2ux3mYO2w0bNkiSduzYodOnT6tFixZydXW1bW/VqtU9Oj3ca3liMOb0H80OAcA9wt8kALiNtK+Mb8PZnMmdblvZ+Oabb2w/FyxYUN9//32G7SQbAAAAwF3KBZUNo9w22Rg7dmxOxQEAAAAgj8nWmI34+Hi98847tkHhderU0fDhwzPMxQsAAADgDuThyka2ZqMaOnSoAgMDtXXrVm3dulXNmjXT0KFDjY4NAAAAgAPLVrKRlJSkDh06yMXFRS4uLmrfvr2SkpKMjg0AAADI+9LTjX+YJFvJhoeHh6Kjo5WWlqa0tDRFR0fLw8PD4NAAAAAAOLJsJRtjxozRl19+qYYNG6pRo0Zav3693nvvPaNjAwAAAPI+a7rxD5Nka4D4hx9+qPfff19FixaVJJ05c0bvv/8+s1UBAAAAuKVsJRu///67LdGQrner2r9/v2FBAQAAAPeN+302qvT0dJ09e9a2fObMGaWlpRkWFAAAAADHl63KxvPPP6+wsDC1bt1akrRu3Tq9+OKLhgYGAAAA3BfycGUjW8lGu3bt5Ofnpx9//FGSNG3aNFWqVMnQwAAAAAA4tmwlG5JUqVIlEgwAAADgXjPxPhhGy9aYDQAAAACwV7YrGwAAAAAMkIfHbFDZAAAAAGAIKhsAAACAmahsAAAAAIB9qGwAAAAAZqKyAQAAAAD2obIBAAAAmMhqTTO8DYvhLdwclQ0AAAAAhqCyAQAAAJiJO4gDAAAAgH2obAAAAABmYjYqAAAAALAPlQ0AAADATFQ2AAAAAMA+VDYAAAAAM1HZAAAAAAD7UNkAAAAAzERlAwAAAADsQ2UDAAAAMBN3EAcAAAAA+1DZAAAAAMzEmA0AAAAAsA+VDQAAAMBMVDYAAAAAwD5UNgAAAAAzUdkAAAAAAPsYUtm4dOmSFi5cKIvFom7duikmJkYbNmxQhQoV9NJLL8nNzc2IZgEAAADHw3027DNkyBAlJiYqLi5O4eHh2rt3r3r16iWr1aq33nrLiCYBAAAAx2RNN/5hEkMqG0eOHNGUKVNktVrVqFEjzZ07VxaLRY8++qiefPJJI5oEAAAAkMsYOkDcYrEoICBAFovFtnzjZwAAAABigLi9/Pz8lJKSIkkaO3asbf3Ro0cZrwEAAADcJwypbIwePfqm6x944AEtWrTIiCYBAAAAx5SHB4gb1o3q0KFD2rRpk06ePClJ8vb2VvPmzVWxYkWjmgQAAACQixjSjSoyMlKDBg2SJPn7+8vf31+SNGjQIEVGRhrRJAAAAOCY0q3GP0xiSGVj+fLlWrNmjfLly5dhfY8ePdS2bVuFh4cb0SwAAACAXMSQZMNisejkyZMqXbp0hvWnTp1iNioAAADgnxizYZ9hw4apR48eKleunEqWLClJOnHihI4ePaoRI0YY0SQAAACAXMaQZCMgIEDr169XbGysEhISJEk+Pj7y9/eXs7OzEU0CAAAAjonKhv2cnJxUq1Yt23JUVFSGZQAAAAB5myGzUd3M559/nlNN3bWhQ4eqfv36atu2rdmh5JhPug1Xwri1+nXEZ7Z1xQq5a0PEhzrw9lJtiPhQHoWK2LZNeXqQ/nh7qX4ZvlC1y1aVJFXxeUC7hs7VL8MXql55P0mSs5Ozvuo/VQXz5c/ZEwLgsPh7BOC+k4dno8qxZMNqNe8k7dW+fXvNnj3b7DBy1NxtMWo9dWCGdUOCntOm33aqyshO2vTbTg1p9Zwk6Ynq9VXZu6wqj+yk8EVjNb3za5Kk3o2eUv8lk9Tmo4F6pWUXSVKfgPZauH2dLl27krMnBMBh8fcIAMyxZcsWBQUFqWXLlje9XcWKFStUr149hYaGKjQ0VEuXLs3ymDmWbMyYMSOnmrprdevWVdGiRc0OI0dtPfizklLOZVgXWrOx5v24VpI078e1alcr4P/XB2j+/6/ffvi/8ihUWL7uXrqWlqpCrvlVyLWArqWlqmjBwgrxb6T529fm7MkAcGj8PQJw30lPN/6RhbS0NI0aNUqzZ89WTEyM1qxZo4MHD2bar02bNoqOjlZ0dLQ6deqU5XENG7Pxb76+vpKu34OjQ4cOOdUs7oJPEU/Fn0uUJMWfS5RPEU9JUmmPEjqWfNK2X1zySZX2KKGPNi/T/B4jld8ln3ovel8j2jyvMevmOVRVC0DuxN8jADBWbGysypUrp7Jly0qSgoODtWnTJlWqVOmujptjycYNU6dOJdlwUFbd/p/0seQENZvUV5JUsUQZlfHw1v74I5rfY6RcnfNpxOqZ+uPksZwIFUAex98jAHlKDsxGFRUVpaioKNtyWFiYwsLCbMsJCQm24oB0fSbZ2NjYTMfZsGGDdu7cqfLly2vo0KG221zciiHJRkhIyC23nT592ogmYYCE80nydfdS/LlE+bp76eT5ZEnS8TOnVLaYt22/MsW8dfzMqQzPHf3ki3rji5mKaPa0Zn//hY4k/q0xoX3Udc7IHD0HAHkDf48A4O78O7m4E82aNVPbtm3l6uqqzz//XK+//rrmz59/2+cYkmwkJibqk08+kbu7e4b1VqtVzzzzjBFNwgBfxG5V93pt9P6GBeper42if9lqW9+vaSd9vusrPV6+us5eumDr3iBJAZVr68TZUzp46pgKueZXujVd6dZ0FXJlBhgAd4a/RwDyNBNni7rBx8dH8fHxtuWEhAT5+Phk2KdYsWK2nzt16qTx48dneVxDko2mTZsqJSVFDz30UKZtjz/+uBFN3lODBg3Sjh07lJycrICAAL388svZGgDjyBY9P0pNqzyi4oU9dGzMFxq5ZpbeWz9fS3qN1gsNn9RfSfF6etZwSdLavT+ojV8DHRy1TBevXlbP+e9mONYbT/RU2Ow3JEmR30Xrs55vy8XJWX0Wj8vx8wLgePh7BAA5z9/fX0eOHNGxY8fk4+OjmJgYTZgwIcM+J0+elLf39Wry119/rYoVK2Z5XIuV0XJ5kqVPPbNDuGvW6T+aHQKAe4S/SQBwa9Y9Iwxvw1L7nSz32bx5s8aMGaO0tDR16NBBffr00ZQpU+Tn56fmzZtrwoQJ+vrrr+Xs7KyiRYvqrbfeyjLhyPFkIyUlRW5ubjnZ5H2Jf+wAchP+JgHAreWWZMMIOXafjRuCg4NzukkAAAAg98rDdxA3ZMzGnDlzbrrearXq4sWLRjQJAAAAIJcxpLIxceJEnT17VikpKRkeFy9eVHoOzCMMAAAAOIxccAdxoxhS2ahevbpatGghPz+/TNuWLl1qRJMAAAAAchlDko0xY8bIw8PjptuWL19uRJMAAACAY8rDPX8MSTYqVKhwy23Fixc3okkAAAAAuYwhycb58+c1c+ZMbdy4UUlJSbJYLPL09FTz5s0VHh6e6c7iAAAAwP0qJ+5EYTG8hZszZID4gAED5O7urgULFmjHjh3avn275s+fL3d3dw0YMMCIJgEAAADkMoYkG3FxcQoPD1eJEiVs60qUKKHw8HAdP37ciCYBAAAAx5SHZ6MyJNkoXbq0Zs2apdOnT9vWnT59WpGRkSpZsqQRTQIAAADIZQwZszFp0iRFRkaqa9euSkxMlMVikZeXlwIDAzV58mQjmgQAAAAcE7NR2ado0aJq3769GjZsqJo1a8rNzc22bcuWLQoICDCiWQAAAAC5iCHdqObPn6++fftq4cKFCgkJ0caNG23bJk2aZESTAAAAgGNKtxr/MIkhlY2lS5dqxYoVcnNzU1xcnCIiInT8+HF17949R6b2AgAAAGA+Q5KN9PR0W9epMmXKaMGCBYqIiNCJEydINgAAAIB/ysNjNgzpRuXl5aX9+/fblt3c3DRz5kwlJyfrwIEDRjQJAAAAIJcxpLIxbtw4OTs7Z2zIxUXjxo1TWFiYEU0CAAAAjikPVzYMSTZ8fX1vue3RRx81okkAAAAAuYwhyQYAAACAbDJxtiijGTJmAwAAAACobAAAAABmysNjNqhsAAAAADAElQ0AAADATFQ2AAAAAMA+VDYAAAAAMzEbFQAAAADYh8oGAAAAYCbGbAAAAACAfahsAAAAAGaisgEAAAAA9qGyAQAAAJiJ2agAAAAAwD5UNgAAAAAzMWYDAAAAAOxDZQMAAAAwkTWNMRsAAAAAYBcqGwAAAICZmI0KAAAAAOxDZQMAAAAwE2M2AAAAAMA+VDYAAAAAE1kZswEAAAAA9qGyAQAAAJiJMRsAAAAAYB8qGwAAAICZ0tLNjsAwVDYAAAAAGILKBgAAAGAiZqMCAAAAADtR2QAAAADMxGxUAAAAAGAfKhsAAACAmRizAQAAAAD2obIBAAAAmMjKmA0AAAAAsA/JBgAAAGCm9HTjH9mwZcsWBQUFqWXLloqMjLzlfuvXr1fVqlX166+/ZnlMulEBAAAAZsoF3ajS0tI0atQozZkzRz4+PurYsaMCAwNVqVKlDPtduHBB8+fPV82aNbN1XCobAAAAwH0uNjZW5cqVU9myZeXq6qrg4GBt2rQp035TpkzRf/7zH+XPnz9bx6WyAQAwnHX6j2aHAAC5ljUHpr6NiopSVFSUbTksLExhYWG25YSEBPn6+tqWfXx8FBsbm+EY//3vfxUfH6+mTZvqk08+yVa7JBsAAABAHvfv5MJe6enpeu+99zR27Fi7nkeyAQAAAJgpF4zZ8PHxUXx8vG05ISFBPj4+tuWUlBQdOHBAzz33nCTp1KlT6tOnj6ZPny5/f/9bHpdkAwAAALjP+fv768iRIzp27Jh8fHwUExOjCRMm2LYXKVJE27dvty1369ZNr7322m0TDYlkAwAAADBXLqhsuLi46M0331SvXr2UlpamDh06qHLlypoyZYr8/PzUvHnzOzquxWq1mn92uOcsfeqZHcJdY0ApAAC4H1wZ287wNvIPXWV4GzdDZQMAAAAwUU7MRmUW7rMBAAAAwBBUNgAAAAAzpaWbHYFhqGwAAAAAMASVDQAAAMBEjNkAAAAAADtR2QAAAADMlAvus2EUKhsAAAAADEFlAwAAADATYzYAAAAAwD5UNgAAAAATWRmzAQAAAAD2obIBAAAAmIkxGwAAAABgHyobAAAAgJnS0s2OwDBUNgAAAAAYgsoGAAAAYCIrYzYAAAAAwD5UNgAAAAAzcZ8NAAAAALAPlQ0AAADARIzZAAAAAAA7UdkAAAAATGRlzAYAAAAA2IfKBgAAAGAixmwAAAAAgJ2obAAAAAAmSmfMBgAAAADYh8oGAAAAYCLGbAAAAACAnahsAAAAACaypqebHYJhqGwAAAAAMASVDQAAAMBE3EEcAAAAAOxEZQMAAAAwEbNRAQAAAICdqGwAAAAAJmLMBgAAAADYicoGAAAAYCLGbAAAAACAnQxJNhYuXKikpCRJ0l9//aUuXbqoTp066tSpk37//XcjmgQAAAAcUnq61fCHWQxJNhYvXixPT09J0ujRo9WjRw/t2rVLr7zyikaOHGlEkwAAAAByGUPGbKSmptp+TkxMVMuWLSVJjz/+uFJSUoxoEgAAAHBIzEZlp9atW2vIkCE6duyYWrZsqblz5+r48eNavny5SpUqZUSTAAAAAHIZQyobAwcO1IoVKzRo0CAdPXpUV69e1ZIlS9SiRQt98MEHRjQJAAAAOKS8PBuVYVPftm/fXu3btzfq8AAAAAByOcOSjUOHDmnTpk06efKkJMnb21vNmzdXxYoVjWoSAAAAcDh5ubJhyJiNyMhIDRo0SJLk7+8vf39/SdKgQYMUGRlpRJMAAAAAchlDKhvLly/XmjVrlC9fvgzre/ToobZt2yo8PNyIZgEAAACHw2xUdrJYLLbuU/906tQpWSwWI5oEAAAAkMsYUtkYNmyYevTooXLlyqlkyZKSpBMnTujo0aMaMWKEEU0CAAAADsmanm52CIYxJNkICAjQ+vXrFRsbq4SEBEmSj4+P/P395ezsbESTAAAAAHIZw2ajcnJyUq1atWzLUVFRGZYBAAAAMGbjnvj8889zqqm7NnToUNWvX19t27Y1O5Qc80m34UoYt1a/jvjMtq5YIXdtiPhQB95eqg0RH8qjUBHbtilPD9Ifby/VL8MXqnbZqpKkKj4PaNfQufpl+ELVK+8nSXJ2ctZX/aeqYL78OXtCAAAAMF2OJRtWq+NkbO3bt9fs2bPNDiNHzd0Wo9ZTB2ZYNyToOW36baeqjOykTb/t1JBWz0mSnqheX5W9y6ryyE4KXzRW0zu/Jknq3egp9V8ySW0+GqhXWnaRJPUJaK+F29fp0rUrOXtCAAAADsKabjX8kR1btmxRUFCQWrZsedPbVSxevFghISEKDQ1V586ddfDgwSyPmWPJxowZM3KqqbtWt25dFS1a1OwwctTWgz8rKeVchnWhNRtr3o9rJUnzflyrdrUC/n99gOb///rth/8rj0KF5evupWtpqSrkml+FXAvoWlqqihYsrBD/Rpq/fW3OngwAAADskpaWplGjRmn27NmKiYnRmjVrMiUTISEhWr16taKjo9WrVy+NHTs2y+MaNmbj33x9fSVdvwdHhw4dcqpZ3AWfIp6KP5coSYo/lyifIp6SpNIeJXQs+X9TG8cln1RpjxL6aPMyze8xUvld8qn3ovc1os3zGrNunkNVtQAAAHJaei64g3hsbKzKlSunsmXLSpKCg4O1adMmVapUybZP4cKFbT9funQpW7e0yLFk44apU6eSbDgoq27/i3AsOUHNJvWVJFUsUUZlPLy1P/6I5vcYKVfnfBqxeqb+OHksJ0IFAACAHRISEmzFAen6TLKxsbGZ9vvss880Z84cXbt2TfPmzcvyuIYkGyEhIbfcdvr0aSOahAESzifJ191L8ecS5evupZPnkyVJx8+cUtli3rb9yhTz1vEzpzI8d/STL+qNL2YqotnTmv39FzqS+LfGhPZR1zkjc/QcAAAAcrucmI0qKipKUVFRtuWwsDCFhYXZfZwuXbqoS5cuWr16taZPn67333//tvsbkmwkJibqk08+kbu7e4b1VqtVzzzzjBFNwgBfxG5V93pt9P6GBeper42if9lqW9+vaSd9vusrPV6+us5eumDrbiVJAZVr68TZUzp46pgKueZXujVd6dZ0FXJlRioAAAAzZJVc+Pj4KD4+3rackJAgHx+fW+4fHByst956K8t2DUk2mjZtqpSUFD300EOZtj3++ONGNHlPDRo0SDt27FBycrICAgL08ssvq1OnTmaHZahFz49S0yqPqHhhDx0b84VGrpml99bP15Jeo/VCwyf1V1K8np41XJK0du8PauPXQAdHLdPFq5fVc/67GY71xhM9FTb7DUlS5HfR+qzn23JxclafxeNy/LwAAAByu+zOFmUkf39/HTlyRMeOHZOPj49iYmI0YcKEDPscOXJEDz74oCTp22+/Vbly5bI8rsXK6N08ydKnntkh3DXr9B/NDgEAAMBwhxr5G95Gxe9+zXKfzZs3a8yYMUpLS1OHDh3Up08fTZkyRX5+fmrevLneffddbdu2TS4uLnJ3d9ebb76pypUr3/aYOZ5spKSkyM3NLSebvC+RbAAAADiGg/X9DG+j0ra9hrdxMzl2n40bgoODc7pJAAAAACYwZMzGnDlzbrrearXq4sWLRjQJAAAAOKTcMGbDKIZUNiZOnKizZ88qJSUlw+PixYtKT083okkAAAAAuYwhlY3q1aurRYsW8vPL3P9s6dKlRjQJAAAAOKS8XNkwJNkYM2aMPDw8brpt+fLlRjQJAAAAOKScuKmfWQxJNipUqHDLbcWLFzeiSQAAAAC5jCHJxvnz5zVz5kxt3LhRSUlJslgs8vT0VPPmzRUeHp7pzuIAAADA/So9D3ejMmSA+IABA+Tu7q4FCxZox44d2r59u+bPny93d3cNGDDAiCYBAAAA5DKGJBtxcXEKDw9XiRIlbOtKlCih8PBwHT9+3IgmAQAAAIeUnm78wyyGJBulS5fWrFmzdPr0adu606dPKzIyUiVLljSiSQAAAAC5jCFjNiZNmqTIyEh17dpViYmJslgs8vLyUmBgoCZPnmxEkwAAAIBDysu3oTMk2ShatKjat2+vhg0bqmbNmnJzc7Nt27JliwICAoxoFgAAAEAuYkg3qvnz56tv375auHChQkJCtHHjRtu2SZMmGdEkAAAA4JDy8pgNQyobS5cu1YoVK+Tm5qa4uDhFRETo+PHj6t69u6zWvDu1FwAAAID/MSTZSE9Pt3WdKlOmjBYsWKCIiAidOHGCZAMAAAD4hzx8mw1julF5eXlp//79tmU3NzfNnDlTycnJOnDggBFNAgAAAMhlDKlsjBs3Ts7OzhkbcnHRuHHjFBYWZkSTAAAAgENiNio7+fr63nLbo48+akSTAAAAAHIZQ5INAAAAANmTlysbhozZAAAAAAAqGwAAAICJqGwAAAAAgJ2obAAAAAAmorIBAAAAAHaisgEAAACYiMoGAAAAANiJygYAAABgIiobAAAAAGAnKhsAAACAiahsAAAAAICdqGwAAAAAJqKyAQAAAAB2orIBAAAAmMhqtZodgmGobAAAAAAwBJUNAAAAwESM2QAAAAAAO1HZAAAAAExEZQMAAAAA7ERlAwAAADARlQ0AAAAAsBOVDQAAAMBEVDYAAAAAwE5UNgAAAAATUdkAAAAAADtR2QAAAABMRGUDAAAAAOxEZQMAAAAwEZUNAAAAALATlQ0AAADAROlWsyMwDpUNAAAAAIagsgEAAACYiDEbAAAAAGAnKhsAAACAiahsAAAAAICdqGwAAAAAJqKyAQAAACBP27Jli4KCgtSyZUtFRkZm2j5nzhy1adNGISEh6t69u44fP57lMUk2AAAAABOlpxv/yEpaWppGjRql2bNnKyYmRmvWrNHBgwcz7PPQQw9p+fLlWr16tYKCgjR+/Pgsj0uyAQAAANznYmNjVa5cOZUtW1aurq4KDg7Wpk2bMuxTr149FSxYUJJUq1YtxcfHZ3lcxmzkUdbpP5odAgAAALLhWevvhrcRFRWlqKgo23JYWJjCwsJsywkJCfL19bUt+/j4KDY29pbHW7ZsmQICArJsl2QDAAAAyOP+nVzcjejoaO3du1cLFy7Mcl+SDQAAAOA+5+Pjk6FbVEJCgnx8fDLt98MPP2jGjBlauHChXF1dszwuYzYAAACA+5y/v7+OHDmiY8eO6erVq4qJiVFgYGCGffbt26c333xT06dPl5eXV7aOa7FarVYjAgYAAADgODZv3qwxY8YoLS1NHTp0UJ8+fTRlyhT5+fmpefPm6tGjhw4cOKASJUpIkkqWLKkZM2bc9pgkGwAAAAAMQTcqAAAAAIYg2QAAAABgCJIN2C2rW9nndkOHDlX9+vXVtm1bs0O5Y3///be6deumNm3aKDg4WPPmzTM7JLtduXJFHTt21JNPPqng4GB9+OGHZod0R9LS0tSuXTv17t3b7FDuSGBgoEJCQhQaGqr27dubHc4dOXfunCIiItS6dWs98cQT2rNnj9kh2eXPP/9UaGio7fHII49o7ty5Zodll7lz5yo4OFht27bVoEGDdOXKFbNDstu8efPUtm1bBQcHO8zrf7P/Z2fOnFHPnj3VqlUr9ezZU2fPnjUxwqzd7By+/PJLBQcHq1q1avr1119NjA73hDUPe/31161ffvnlHT//7Nmz1oULF97Rc3v16mU9e/bsHbedW6WmplqbN29uPXr0qPXKlSvWkJAQ6x9//GF2WHbZsWOHde/evdbg4GCzQ7ljCQkJ1r1791qtVqv1/Pnz1latWjnc+5Cenm69cOGC1Wq1Wq9evWrt2LGjdc+ePeYGdQc+/fRT66BBg6zh4eFmh3JHmjVrZk1MTDQ7jLvy2muvWZcsWWK1Wq3WK1euOPTf3tTUVGuDBg2scXFxZoeSbfHx8dZmzZpZL126ZLVardaIiAjr8uXLTY7KPr///rs1ODjYevHiReu1a9es3bt3tx45csTssLJ0s/9n77//vnXmzJlWq9VqnTlzpnXcuHFmhZctNzuHgwcPWg8dOmTt2rWrNTY21sTocC9Q2biF1NRUnTt3TosXL76j58+aNUvu7u73OCrzZedW9rld3bp1VbRoUbPDuCve3t6qXr26JKlw4cKqUKGCEhISTI7KPhaLRW5ubpKu/76lpqbKYrGYHJV94uPj9e2336pjx45mh3LfOn/+vHbu3Gl7D1xdXR36b++2bdtUtmxZlS5d2uxQ7JKWlqbLly8rNTVVly9flre3t9kh2eXQoUOqUaOGChYsKBcXF9WtW1cbNmwwO6ws3ez/2aZNm9SuXTtJUrt27bRx40YTIsu+m51DxYoVVaFCBZMiwr3mkDf1W7VqlT755BNZLBZVrVpV/fv317Bhw5ScnCxPT0+NHTtWpUqVkiTt2rVLc+fO1alTp/Tqq6+qdevWslqtGjdunLZu3SqLxaI+ffqoTZs22r59u6ZMmSJ3d3cdPnxYDz/8sI4eParQ0FA1aNBAr7/+eqZYTp48qYEDB+rChQtKS0vTW2+9pTp16igwMFDLli3T+vXr9fnnn0u6/k+xdOnSWrBggb777jtNnTpVV69eVdmyZTV27FjbB6/czN5b2cN4cXFx2r9/v2rWrGl2KHZLS0tT+/btdfToUT377LMOdw5jxozRq6++qpSUFLNDuSsvvPCCLBbLPb27bE6Ji4uTp6enhg4dqt9++03Vq1fX8OHDVahQIbNDuyMxMTEO18XTx8dHzz//vJo1a6b8+fOrYcOGatSokdlh2aVKlSqaPHmykpOTVaBAAW3ZskV+fn5mh3VHEhMTbcleiRIllJiYaHJEuN85XLLxxx9/aPr06Vq8eLE8PT115swZDRkyRE899ZSeeuopLVu2TO+++64+/vhjSdeTgUWLFunPP/9Unz591Lp1a23YsEG//faboqOjlZycrI4dO6pOnTqSrt+sZPXq1Spbtqzi4uL0xx9/KDo6+pbxrFmzRo0aNVKfPn2UlpamS5cuZdjeuXNnde7cWdeuXVP37t3Vs2dPJSUlafr06ZozZ44KFSqkyMhIzZkzR/369TPuhUOelJKSooiICA0bNkyFCxc2Oxy7OTs7Kzo6WufOndNLL72kAwcOqEqVKmaHlS3ffPONPD095efnp+3bt5sdzh1bvHixfHx8lJiYqJ49e6pChQqqW7eu2WFlW2pqqvbt26cRI0aoZs2aevfddxUZGakBAwaYHZrdrl69qq+//lqDBw82OxS7nD17Vps2bdKmTZtUpEgR9e/fX9HR0QoNDTU7tGyrWLGievXqpRdeeEEFCxZUtWrV5OTk+J0/LBaLw1WMkfc43G/Sjz/+qNatW8vT01OS5OHhoT179ti+CQoNDdXu3btt+7do0UJOTk6qVKmSTp8+LUnavXu3goOD5ezsrOLFi6tu3bq2AUj+/v4qW7ZstuPx9/fXihUrNHXqVB04cOCWH/hGjx6tevXqKTAwUL/88osOHjyozp07KzQ0VKtWrdKJEyfu6PXIadm9lT2Md+3aNUVERCgkJEStWrUyO5y74u7urscff1xbt241O5Rs++mnn/T1118rMDBQgwYN0o8//qhXXnnF7LDsduP318vLSy1btnS4SqWvr698fX1tVbHWrVtr3759Jkd1Z7Zs2aLq1aurePHiZodilx9++EFlypSRp6en8uXLp1atWjncIH1J6tSpk1asWKHPPvtMRYsW1YMPPmh2SHfEy8tLJ0+elHT9C9cbn5cAszhcsmEvV1dXu/a3t/Ret25dLVy4UD4+PhoyZIhWrVqVaZ8VK1boxIkTtsqF1WpVw4YNFR0drejoaK1du1Zjxoyxq12zZOdW9jCe1WrV8OHDVaFCBfXs2dPscO5IUlKSzp07J0m6fPmyfvjhB4fqozt48GBt2bJFX3/9tSZOnKh69erpgw8+MDssu1y8eFEXLlyw/fz999+rcuXKJkdlnxIlSsjX11d//vmnpOtjHipWrGhyVHcmJiZGwcHBZodht1KlSumXX37RpUuXZLVaHfY9uNHd6MSJE9qwYYNCQkJMjujOBAYG2j6LrFq1Ss2bNzc3INz3HC7ZqFevntatW6fk5GRJ16d4q127tmJiYiRJq1evtnWJupU6deroyy+/VFpampKSkrRr1y7VqFEj035ubm5Z9sU+fvy4ihcvrqefflqdOnXSf//73wzb9+7dq08//VTjx4+3lWRr1aqln376SX/99Zek6//kDx8+nL0XwGQuLi5688031atXL7Vp00ZPPPGEw304GTRokJ555hkdPnxYAQEBWrp0qdkh2W337t2Kjo7Wjz/+aJsuc/PmzWaHZZeTJ0/queeeU0hIiDp27KgGDRqoWbNmZod1X0lMTNSzzz6rJ598Up06dVKTJk0UEBBgdlh2GzFihF555RWFhIRo//79evHFF80OyW4XL17UDz/84JBVypo1ayooKEhPPfWUQkJClJ6e7nBjfyTp5ZdfVps2bfTiiy9q5MiRDjHRwM3+n4WHh+v7779Xq1at9MMPPyg8PNzsMG/rZufw1VdfKSAgQHv27FHv3r31wgsvmB0m7oLFarVazQ7CXitXrtQnn3wiJycnPfzww3r55Zc1dOjQTAPEhwwZoqZNm6p169aSpNq1a2vPnj23HSD+6aefaubMmba2Bg8erN9//12NGze+6QDxG7G4uLioUKFCev/991W2bFnbAPHx48dr69at8vLykiT5+flp9OjR2rZtmz744ANdvXpVkjRgwAC+fQAAAECe4pDJBgAAAIDcz+G6UQEAAABwDA439a1Zfv/9d7322msZ1rm6ujpkf38AAAAgJ9CNCgAAAIAh6EYFAAAAwBAkGwBwH5owYYJ+/PFHbdy4McMMfNmRlJSkTp06qV27dtq1a9c9jevXX3/Vu+++a9dzAgMDlZSUdE/jAADcGyQbAHAf+uWXX1SrVi3t2LEjy3sT/du2bdtUpUoVrVq1yu7n3k5qaqr8/f31xhtv3LNjAgDMxQBxALiPvP/++/ruu+8UFxensLAwHT16VNu2bVNQUJD69euXYd+4uDgNGzYswz2Mzp49q/Hjx+vy5cvau3evoqKiVKBAAdtzAgMD1bp1a23dulX58+fXhAkTVK5cOSUlJWnkyJE6ceKEJGnYsGF69NFHNXXqVB09elTHjh1TqVKlFBYWZrvf0ZkzZzRs2DAdO3ZMBQsW1KhRo1StWjUlJydr8ODBSkhIUK1atXRj6OHFixc1YMAAxcfHKz09XX379lWbNm1y7sUFAGRCZQMA7iOvv/66Ro8erfbt22vZsmWqWrWqVq9enSnRkKR3331XTz31lFavXq2QkBC9++67euihhxQREaE2bdooOjo6Q6JxQ5EiRbR69Wp17dpVY8aMkSSNHj1a3bt31/LlyzV16tQM1YtDhw5p7ty5mjhxYobjTJ06VQ8//LBWr16tgQMH2m6s+tFHH+mRRx5RTEyMWrZsaUtgtm7dKm9vb33xxRdas2aNGjdufM9eNwDAnSHZAID7zL59+1StWjX9+eefqlix4i3327Nnj9q2bStJCg0N1e7du7N1/BvPCQ4O1s8//yxJ+uGHH/TOO+8oNDRUffr00YULF5SSkiLpejXkZknL7t27FRoaKkmqX7++zpw5owsXLmjnzp229U2bNlXRokUlSVWqVNEPP/yg8ePHa9euXSpSpEi24gUAGIduVABwn9i/f7+GDBmi+Ph4FStWTJcvX5bValVoaGim7lD3Wnp6upYsWaL8+fNn2lawYMF70kb58uW1YsUKbd68WZMnT1a9evVuWrEBAOQcKhsAcJ946KGHFB0drfLly2vt2rWqV6+ePvnkk1t2h6pdu7ZiYmIkSatXr872YPAvv/xSkrR27VrVrl1bktSoUSMtWLDAts/+/fuzPE6dOnX0xRdfSJK2b9+uYsWKqXDhwqpbt65Wr14tSdq8ebPOnj0rSUpISFDBggUVGhqqF154Qfv27ctWvAAA41DZAID7SFJSktzd3eXk5KQ///xTlSpVuuW+I0aM0NChQ/XJJ5/YBohnx9mzZxUSEiJXV1fbOIzhw4dr1KhRCgkJUVpamurUqaNRo0bd9jj9+vXTsGHDFBISooIFC+q9996TJL300ksaPHiwgoODVbt2bZUqVUqSdODAAY0bN05OTk5ycXHRW2+9la14AQDG4Q7iAIB7JjAwUMuWLZOnp6fZoQAAcgG6UQEAAAAwBJUNAAAAAIagsgEAAADAECQbAAAAAAxBsgEAAADAECQbAAAAAAxBsgEAAADAEP8Hr6Tt67C1znYAAAAASUVORK5CYII=\n"},"metadata":{}}]},{"cell_type":"code","source":"# plot retention rate\nplt.plot(retention_matrix.mean())\nplt.xlabel('# of periods')\nplt.ylabel('retention rate')\nplt.title('retention rate in Australia')","metadata":{"id":"KTKnpupsxn8U","outputId":"e5c5ec4d-694b-42d9-a8cd-e583f2f5c137","execution":{"iopub.status.busy":"2022-11-19T23:51:17.263177Z","iopub.execute_input":"2022-11-19T23:51:17.263649Z","iopub.status.idle":"2022-11-19T23:51:17.434526Z","shell.execute_reply.started":"2022-11-19T23:51:17.263602Z","shell.execute_reply":"2022-11-19T23:51:17.433381Z"},"trusted":true},"execution_count":95,"outputs":[{"execution_count":95,"output_type":"execute_result","data":{"text/plain":"Text(0.5, 1.0, 'retention rate in Australia')"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":"### Netherlands","metadata":{"id":"E-POaHMCzPIN"}},{"cell_type":"code","source":"# filtering records for Netherlands only\ndfNetherlands = data[data['Country']=='Netherlands']\n\n# drop irrelevant columns and duplicate records\ndfNetherlands = dfNetherlands[['CustomerID', 'InvoiceNo', 'InvoiceDate']].drop_duplicates()\n\n# order month\ndfNetherlands['order_month'] = dfNetherlands['InvoiceDate'].dt.to_period('M')\n\n# first purchase date for that customer\ndfNetherlands['cohort'] = dfNetherlands.groupby('CustomerID')['InvoiceDate'] \\\n                 .transform('min') \\\n                 .dt.to_period('M')\n\n# a dataframe with cohort, order_month, n_customers, and period number\ndf_cohort = dfNetherlands.groupby(['cohort', 'order_month']) \\\n              .agg(n_customers=('CustomerID', 'nunique')) \\\n              .reset_index(drop=False)\n\ndf_cohort['period_number'] = (df_cohort.order_month - df_cohort.cohort).apply(attrgetter('n'))\n\n# pivot the df_cohort\ncohort_pivot = df_cohort.pivot_table(index = 'cohort',\n                                     columns = 'period_number',\n                                     values = 'n_customers')\n\n# calculate retention matrix\ncohort_size = cohort_pivot.iloc[:,0]\nretention_matrix = cohort_pivot.divide(cohort_size, axis = 0)\n\n\n# plot the retenton matrix\nwith sns.axes_style(\"white\"):\n    fig, ax = plt.subplots(1, 2, figsize=(12, 8), sharey=True, gridspec_kw={'width_ratios': [1, 11]})\n    \n    # retention matrix\n    sns.heatmap(retention_matrix, \n                mask=retention_matrix.isnull(), \n                annot=True, \n                fmt='.0%', \n                cmap='RdYlGn', \n                ax=ax[1])\n    ax[1].set_title('Monthly Cohorts: User Retention in Netherlands', fontsize=16)\n    ax[1].set(xlabel='# of periods',\n              ylabel='')\n\n    # cohort size\n    cohort_size_df = pd.DataFrame(cohort_size).rename(columns={0: 'cohort_size'})\n    white_cmap = mcolors.ListedColormap(['white'])\n    sns.heatmap(cohort_size_df, \n                annot=True, \n                cbar=False, \n                fmt='g', \n                cmap=white_cmap, \n                ax=ax[0])\n\n    fig.tight_layout()","metadata":{"id":"W5g3nR38yo6B","outputId":"290669fb-83e0-4494-d8a9-e84452530aa0","execution":{"iopub.status.busy":"2022-11-19T23:51:17.436150Z","iopub.execute_input":"2022-11-19T23:51:17.436562Z","iopub.status.idle":"2022-11-19T23:51:18.250194Z","shell.execute_reply.started":"2022-11-19T23:51:17.436527Z","shell.execute_reply":"2022-11-19T23:51:18.249016Z"},"trusted":true},"execution_count":96,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 864x576 with 3 Axes>","image/png":"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\n"},"metadata":{}}]},{"cell_type":"code","source":"plt.plot(retention_matrix.mean())\nplt.xlabel('# of periods')\nplt.ylabel('retention rate')\nplt.title('retention rate in the Netherlands')","metadata":{"id":"r96MDSDHyo8o","outputId":"e9ace496-bdcc-4681-81da-06a5284b1284","execution":{"iopub.status.busy":"2022-11-19T23:51:18.251534Z","iopub.execute_input":"2022-11-19T23:51:18.251850Z","iopub.status.idle":"2022-11-19T23:51:18.478656Z","shell.execute_reply.started":"2022-11-19T23:51:18.251821Z","shell.execute_reply":"2022-11-19T23:51:18.477513Z"},"trusted":true},"execution_count":97,"outputs":[{"execution_count":97,"output_type":"execute_result","data":{"text/plain":"Text(0.5, 1.0, 'retention rate in the Netherlands')"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":"### Iceland","metadata":{"id":"AYbEZt4CzSQC"}},{"cell_type":"code","source":"# filtering records for Iceland only\ndfIceland = data[data['Country']=='Iceland']\n\n# drop irrelevant columns and duplicate records\ndfIceland = dfIceland[['CustomerID', 'InvoiceNo', 'InvoiceDate']].drop_duplicates()\n\n# order month\ndfIceland['order_month'] = dfIceland['InvoiceDate'].dt.to_period('M')\n\n# first purchase date for that customer\ndfIceland['cohort'] = dfIceland.groupby('CustomerID')['InvoiceDate'] \\\n                 .transform('min') \\\n                 .dt.to_period('M')\n\n# a dataframe with cohort, order_month, n_customers, and period number\ndf_cohort = dfIceland.groupby(['cohort', 'order_month']) \\\n              .agg(n_customers=('CustomerID', 'nunique')) \\\n              .reset_index(drop=False)\n\ndf_cohort['period_number'] = (df_cohort.order_month - df_cohort.cohort).apply(attrgetter('n'))\n\n# pivot the df_cohort\ncohort_pivot = df_cohort.pivot_table(index = 'cohort',\n                                     columns = 'period_number',\n                                     values = 'n_customers')\n\n# calculate retention matrix\ncohort_size = cohort_pivot.iloc[:,0]\nretention_matrix = cohort_pivot.divide(cohort_size, axis = 0)\n\n\n# plot the retenton matrix\nwith sns.axes_style(\"white\"):\n    fig, ax = plt.subplots(1, 2, figsize=(12, 8), sharey=True, gridspec_kw={'width_ratios': [1, 11]})\n    \n    # retention matrix\n    sns.heatmap(retention_matrix, \n                mask=retention_matrix.isnull(), \n                annot=True, \n                fmt='.0%', \n                cmap='RdYlGn', \n                ax=ax[1])\n    ax[1].set_title('Monthly Cohorts: User Retention in Iceland', fontsize=16)\n    ax[1].set(xlabel='# of periods',\n              ylabel='')\n\n    # cohort size\n    cohort_size_df = pd.DataFrame(cohort_size).rename(columns={0: 'cohort_size'})\n    white_cmap = mcolors.ListedColormap(['white'])\n    sns.heatmap(cohort_size_df, \n                annot=True, \n                cbar=False, \n                fmt='g', \n                cmap=white_cmap, \n                ax=ax[0])\n\n    fig.tight_layout()","metadata":{"id":"Lp4wB3yQyzHp","outputId":"3467c493-e920-4a7c-8380-b9bc5ece6c0f","execution":{"iopub.status.busy":"2022-11-19T23:51:18.480239Z","iopub.execute_input":"2022-11-19T23:51:18.480618Z","iopub.status.idle":"2022-11-19T23:51:19.056431Z","shell.execute_reply.started":"2022-11-19T23:51:18.480585Z","shell.execute_reply":"2022-11-19T23:51:19.055313Z"},"trusted":true},"execution_count":98,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 864x576 with 3 Axes>","image/png":"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\n"},"metadata":{}}]},{"cell_type":"code","source":"plt.plot(retention_matrix.mean())\nplt.xlabel('# of periods')\nplt.ylabel('retention rate')\nplt.title('retention rate in Iceland')","metadata":{"id":"nEjzTfVAy0DG","outputId":"ccee2607-b290-443d-d474-11c403d29b41","execution":{"iopub.status.busy":"2022-11-19T23:51:19.057914Z","iopub.execute_input":"2022-11-19T23:51:19.058613Z","iopub.status.idle":"2022-11-19T23:51:19.275142Z","shell.execute_reply.started":"2022-11-19T23:51:19.058572Z","shell.execute_reply":"2022-11-19T23:51:19.274048Z"},"trusted":true},"execution_count":99,"outputs":[{"execution_count":99,"output_type":"execute_result","data":{"text/plain":"Text(0.5, 1.0, 'retention rate in Iceland')"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":"### EIRE","metadata":{"id":"84Aa1u65zjLd"}},{"cell_type":"code","source":"# filtering records for EIRE only\ndfEIRE = data[data['Country']=='EIRE']\n\n# drop irrelevant columns and duplicate records\ndfEIRE = dfEIRE[['CustomerID', 'InvoiceNo', 'InvoiceDate']].drop_duplicates()\n\n# order month\ndfEIRE['order_month'] = dfEIRE['InvoiceDate'].dt.to_period('M')\n\n# first purchase date for that customer\ndfEIRE['cohort'] = dfEIRE.groupby('CustomerID')['InvoiceDate'] \\\n                 .transform('min') \\\n                 .dt.to_period('M')\n\n# a dataframe with cohort, order_month, n_customers, and period number\ndf_cohort = dfEIRE.groupby(['cohort', 'order_month']) \\\n              .agg(n_customers=('CustomerID', 'nunique')) \\\n              .reset_index(drop=False)\n\ndf_cohort['period_number'] = (df_cohort.order_month - df_cohort.cohort).apply(attrgetter('n'))\n\n# pivot the df_cohort\ncohort_pivot = df_cohort.pivot_table(index = 'cohort',\n                                     columns = 'period_number',\n                                     values = 'n_customers')\n\n# calculate retention matrix\ncohort_size = cohort_pivot.iloc[:,0]\nretention_matrix = cohort_pivot.divide(cohort_size, axis = 0)\n\n\n# plot the retenton matrix\nwith sns.axes_style(\"white\"):\n    fig, ax = plt.subplots(1, 2, figsize=(12, 8), sharey=True, gridspec_kw={'width_ratios': [1, 11]})\n    \n    # retention matrix\n    sns.heatmap(retention_matrix, \n                mask=retention_matrix.isnull(), \n                annot=True, \n                fmt='.0%', \n                cmap='RdYlGn', \n                ax=ax[1])\n    ax[1].set_title('Monthly Cohorts: User Retention in EIRE', fontsize=16)\n    ax[1].set(xlabel='# of periods',\n              ylabel='')\n\n    # cohort size\n    cohort_size_df = pd.DataFrame(cohort_size).rename(columns={0: 'cohort_size'})\n    white_cmap = mcolors.ListedColormap(['white'])\n    sns.heatmap(cohort_size_df, \n                annot=True, \n                cbar=False, \n                fmt='g', \n                cmap=white_cmap, \n                ax=ax[0])\n\n    fig.tight_layout()","metadata":{"id":"LykN1thkzis1","outputId":"f896fe52-8243-4a8b-832c-95e9adac0a76","execution":{"iopub.status.busy":"2022-11-19T23:51:19.276941Z","iopub.execute_input":"2022-11-19T23:51:19.277398Z","iopub.status.idle":"2022-11-19T23:51:19.973759Z","shell.execute_reply.started":"2022-11-19T23:51:19.277353Z","shell.execute_reply":"2022-11-19T23:51:19.972596Z"},"trusted":true},"execution_count":100,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 864x576 with 3 Axes>","image/png":"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\n"},"metadata":{}}]},{"cell_type":"code","source":"plt.plot(retention_matrix.mean())\nplt.xlabel('# of periods')\nplt.ylabel('retention rate')\nplt.title('retention rate in EIRE')","metadata":{"id":"k5XC11aOzivX","outputId":"64fdfcdb-406d-47c0-8a8c-869a71a501bd","execution":{"iopub.status.busy":"2022-11-19T23:51:19.975185Z","iopub.execute_input":"2022-11-19T23:51:19.975646Z","iopub.status.idle":"2022-11-19T23:51:20.204385Z","shell.execute_reply.started":"2022-11-19T23:51:19.975609Z","shell.execute_reply":"2022-11-19T23:51:20.203247Z"},"trusted":true},"execution_count":101,"outputs":[{"execution_count":101,"output_type":"execute_result","data":{"text/plain":"Text(0.5, 1.0, 'retention rate in EIRE')"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":"## Customer Segmentation using RFM modeling","metadata":{"id":"te7JiUwUNkm8"}},{"cell_type":"markdown","source":"Before we can proceed, we need a benchmark date from where we can calculate recency i.e. date of analysis. \nRecency=Analysis Date- Transaction date\n\nfor the purpose of simplifaction we can assume that analysis commenced 1 day after the last transaction.","metadata":{"id":"A8pq-hA9WAB2"}},{"cell_type":"code","source":"last_txn_date= data[\"InvoiceDate\"].max()\nanalysis_date= last_txn_date + dt.timedelta(days = 1)","metadata":{"id":"TpLoDf77B9Bl","execution":{"iopub.status.busy":"2022-11-19T23:51:20.205705Z","iopub.execute_input":"2022-11-19T23:51:20.206023Z","iopub.status.idle":"2022-11-19T23:51:20.212939Z","shell.execute_reply.started":"2022-11-19T23:51:20.205994Z","shell.execute_reply":"2022-11-19T23:51:20.211733Z"},"trusted":true},"execution_count":102,"outputs":[]},{"cell_type":"code","source":"rfm = data.groupby(\"CustomerID\").agg({\"InvoiceNo\": [lambda Frequency: Frequency.nunique()],\"TotalPrice\": lambda TotalMoney: TotalMoney.sum(),\"InvoiceDate\": [lambda FinalOrder: (analysis_date - FinalOrder.max()).days]})\nrfm.head()","metadata":{"id":"Hc4D1y9x7Tl0","outputId":"6026a343-e7ea-4443-c3db-b444b7d5e8f8","execution":{"iopub.status.busy":"2022-11-19T23:51:20.214539Z","iopub.execute_input":"2022-11-19T23:51:20.214879Z","iopub.status.idle":"2022-11-19T23:51:21.332393Z","shell.execute_reply.started":"2022-11-19T23:51:20.214849Z","shell.execute_reply":"2022-11-19T23:51:21.331497Z"},"trusted":true},"execution_count":103,"outputs":[{"execution_count":103,"output_type":"execute_result","data":{"text/plain":"           InvoiceNo TotalPrice InvoiceDate\n            <lambda>   <lambda>    <lambda>\nCustomerID                                 \n12346.0            1   77183.60         326\n12347.0            7    4310.00           2\n12348.0            4    1797.24          75\n12349.0            1    1757.55          19\n12350.0            1     334.40         310","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead tr th {\n        text-align: left;\n    }\n\n    .dataframe thead tr:last-of-type th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr>\n      <th></th>\n      <th>InvoiceNo</th>\n      <th>TotalPrice</th>\n      <th>InvoiceDate</th>\n    </tr>\n    <tr>\n      <th></th>\n      <th>&lt;lambda&gt;</th>\n      <th>&lt;lambda&gt;</th>\n      <th>&lt;lambda&gt;</th>\n    </tr>\n    <tr>\n      <th>CustomerID</th>\n      <th></th>\n      <th></th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>12346.0</th>\n      <td>1</td>\n      <td>77183.60</td>\n      <td>326</td>\n    </tr>\n    <tr>\n      <th>12347.0</th>\n      <td>7</td>\n      <td>4310.00</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>12348.0</th>\n      <td>4</td>\n      <td>1797.24</td>\n      <td>75</td>\n    </tr>\n    <tr>\n      <th>12349.0</th>\n      <td>1</td>\n      <td>1757.55</td>\n      <td>19</td>\n    </tr>\n    <tr>\n      <th>12350.0</th>\n      <td>1</td>\n      <td>334.40</td>\n      <td>310</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"cell_type":"code","source":"rfm = rfm.reset_index()\nrfm","metadata":{"id":"uWrCXF1xYe93","outputId":"96726945-433d-47fa-cf04-6d9393e2a588","execution":{"iopub.status.busy":"2022-11-19T23:51:21.333720Z","iopub.execute_input":"2022-11-19T23:51:21.334157Z","iopub.status.idle":"2022-11-19T23:51:21.356161Z","shell.execute_reply.started":"2022-11-19T23:51:21.334113Z","shell.execute_reply":"2022-11-19T23:51:21.355231Z"},"trusted":true},"execution_count":104,"outputs":[{"execution_count":104,"output_type":"execute_result","data":{"text/plain":"     CustomerID InvoiceNo TotalPrice InvoiceDate\n                 <lambda>   <lambda>    <lambda>\n0       12346.0         1   77183.60         326\n1       12347.0         7    4310.00           2\n2       12348.0         4    1797.24          75\n3       12349.0         1    1757.55          19\n4       12350.0         1     334.40         310\n...         ...       ...        ...         ...\n4334    18280.0         1     180.60         278\n4335    18281.0         1      80.82         181\n4336    18282.0         2     178.05           8\n4337    18283.0        16    2094.88           4\n4338    18287.0         3    1837.28          43\n\n[4339 rows x 4 columns]","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead tr th {\n        text-align: left;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr>\n      <th></th>\n      <th>CustomerID</th>\n      <th>InvoiceNo</th>\n      <th>TotalPrice</th>\n      <th>InvoiceDate</th>\n    </tr>\n    <tr>\n      <th></th>\n      <th></th>\n      <th>&lt;lambda&gt;</th>\n      <th>&lt;lambda&gt;</th>\n      <th>&lt;lambda&gt;</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>12346.0</td>\n      <td>1</td>\n      <td>77183.60</td>\n      <td>326</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>12347.0</td>\n      <td>7</td>\n      <td>4310.00</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>12348.0</td>\n      <td>4</td>\n      <td>1797.24</td>\n      <td>75</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>12349.0</td>\n      <td>1</td>\n      <td>1757.55</td>\n      <td>19</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>12350.0</td>\n      <td>1</td>\n      <td>334.40</td>\n      <td>310</td>\n    </tr>\n    <tr>\n      <th>...</th>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n    </tr>\n    <tr>\n      <th>4334</th>\n      <td>18280.0</td>\n      <td>1</td>\n      <td>180.60</td>\n      <td>278</td>\n    </tr>\n    <tr>\n      <th>4335</th>\n      <td>18281.0</td>\n      <td>1</td>\n      <td>80.82</td>\n      <td>181</td>\n    </tr>\n    <tr>\n      <th>4336</th>\n      <td>18282.0</td>\n      <td>2</td>\n      <td>178.05</td>\n      <td>8</td>\n    </tr>\n    <tr>\n      <th>4337</th>\n      <td>18283.0</td>\n      <td>16</td>\n      <td>2094.88</td>\n      <td>4</td>\n    </tr>\n    <tr>\n      <th>4338</th>\n      <td>18287.0</td>\n      <td>3</td>\n      <td>1837.28</td>\n      <td>43</td>\n    </tr>\n  </tbody>\n</table>\n<p>4339 rows × 4 columns</p>\n</div>"},"metadata":{}}]},{"cell_type":"code","source":"rfm.columns = [\"customer_id\", \"frequency\", \"monetary\", \"recency\"]\nrfm.head()","metadata":{"id":"yWQR8qsXcVqm","outputId":"96106829-18ed-4053-b516-a5262bd4f1fd","execution":{"iopub.status.busy":"2022-11-19T23:51:21.357536Z","iopub.execute_input":"2022-11-19T23:51:21.357861Z","iopub.status.idle":"2022-11-19T23:51:21.370245Z","shell.execute_reply.started":"2022-11-19T23:51:21.357833Z","shell.execute_reply":"2022-11-19T23:51:21.369148Z"},"trusted":true},"execution_count":105,"outputs":[{"execution_count":105,"output_type":"execute_result","data":{"text/plain":"   customer_id  frequency  monetary  recency\n0      12346.0          1  77183.60      326\n1      12347.0          7   4310.00        2\n2      12348.0          4   1797.24       75\n3      12349.0          1   1757.55       19\n4      12350.0          1    334.40      310","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>customer_id</th>\n      <th>frequency</th>\n      <th>monetary</th>\n      <th>recency</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>12346.0</td>\n      <td>1</td>\n      <td>77183.60</td>\n      <td>326</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>12347.0</td>\n      <td>7</td>\n      <td>4310.00</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>12348.0</td>\n      <td>4</td>\n      <td>1797.24</td>\n      <td>75</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>12349.0</td>\n      <td>1</td>\n      <td>1757.55</td>\n      <td>19</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>12350.0</td>\n      <td>1</td>\n      <td>334.40</td>\n      <td>310</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"cell_type":"code","source":"len(rfm)","metadata":{"id":"5AhEcqpuioyn","outputId":"fa8d7870-689d-47fe-d877-f796465b07bf","execution":{"iopub.status.busy":"2022-11-19T23:51:21.371730Z","iopub.execute_input":"2022-11-19T23:51:21.372092Z","iopub.status.idle":"2022-11-19T23:51:21.382642Z","shell.execute_reply.started":"2022-11-19T23:51:21.372059Z","shell.execute_reply":"2022-11-19T23:51:21.381697Z"},"trusted":true},"execution_count":106,"outputs":[{"execution_count":106,"output_type":"execute_result","data":{"text/plain":"4339"},"metadata":{}}]},{"cell_type":"code","source":"rfm['R_score'] = rfm['recency'].rank(ascending=False)\nrfm['F_score'] = rfm['frequency'].rank(ascending=True)\nrfm['M_score'] = rfm['monetary'].rank(ascending=True)\n \n# normalizing the rank of the customers\nrfm['R_score_norm'] = (rfm['R_score']/rfm['R_score'].max())*100\nrfm['F_score_norm'] = (rfm['F_score']/rfm['F_score'].max())*100\nrfm['M_score_norm'] = (rfm['M_score']/rfm['M_score'].max())*100\n \nrfm.drop(columns=['R_score', 'F_score', 'M_score'], inplace=True)\n \nrfm.head()\n\n","metadata":{"id":"Na56a1q2fp3a","outputId":"8d979265-cf6b-4707-b62b-b983bd7b95ff","execution":{"iopub.status.busy":"2022-11-19T23:51:21.385988Z","iopub.execute_input":"2022-11-19T23:51:21.386322Z","iopub.status.idle":"2022-11-19T23:51:21.410501Z","shell.execute_reply.started":"2022-11-19T23:51:21.386276Z","shell.execute_reply":"2022-11-19T23:51:21.409450Z"},"trusted":true},"execution_count":107,"outputs":[{"execution_count":107,"output_type":"execute_result","data":{"text/plain":"   customer_id  frequency  monetary  recency  R_score_norm  F_score_norm  \\\n0      12346.0          1  77183.60      326      3.750291     17.227472   \n1      12347.0          7   4310.00        2     97.915211     85.526619   \n2      12348.0          4   1797.24       75     38.504542     69.854805   \n3      12349.0          1   1757.55       19     74.120662     17.227472   \n4      12350.0          1    334.40      310      5.369206     17.227472   \n\n   M_score_norm  \n0     99.792579  \n1     92.279327  \n2     76.837981  \n3     76.192671  \n4     28.347546  ","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>customer_id</th>\n      <th>frequency</th>\n      <th>monetary</th>\n      <th>recency</th>\n      <th>R_score_norm</th>\n      <th>F_score_norm</th>\n      <th>M_score_norm</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>12346.0</td>\n      <td>1</td>\n      <td>77183.60</td>\n      <td>326</td>\n      <td>3.750291</td>\n      <td>17.227472</td>\n      <td>99.792579</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>12347.0</td>\n      <td>7</td>\n      <td>4310.00</td>\n      <td>2</td>\n      <td>97.915211</td>\n      <td>85.526619</td>\n      <td>92.279327</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>12348.0</td>\n      <td>4</td>\n      <td>1797.24</td>\n      <td>75</td>\n      <td>38.504542</td>\n      <td>69.854805</td>\n      <td>76.837981</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>12349.0</td>\n      <td>1</td>\n      <td>1757.55</td>\n      <td>19</td>\n      <td>74.120662</td>\n      <td>17.227472</td>\n      <td>76.192671</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>12350.0</td>\n      <td>1</td>\n      <td>334.40</td>\n      <td>310</td>\n      <td>5.369206</td>\n      <td>17.227472</td>\n      <td>28.347546</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"cell_type":"markdown","source":"For this scenario we can consider the RFM score as the artimetic mean of R,F and M Scores for simplicity, assuming all 3 to have equal importance.","metadata":{"id":"K8b3i1krkwSu"}},{"cell_type":"code","source":"rfm['Final Score']= round((rfm['R_score_norm']+rfm['F_score_norm']+rfm['M_score_norm'])/3,2)\nrfm.head()","metadata":{"id":"bGkIb04YhuwC","outputId":"23d3c278-f80c-4e9b-9e57-07fceb12ef97","execution":{"iopub.status.busy":"2022-11-19T23:51:21.411733Z","iopub.execute_input":"2022-11-19T23:51:21.412516Z","iopub.status.idle":"2022-11-19T23:51:21.429952Z","shell.execute_reply.started":"2022-11-19T23:51:21.412481Z","shell.execute_reply":"2022-11-19T23:51:21.428664Z"},"trusted":true},"execution_count":108,"outputs":[{"execution_count":108,"output_type":"execute_result","data":{"text/plain":"   customer_id  frequency  monetary  recency  R_score_norm  F_score_norm  \\\n0      12346.0          1  77183.60      326      3.750291     17.227472   \n1      12347.0          7   4310.00        2     97.915211     85.526619   \n2      12348.0          4   1797.24       75     38.504542     69.854805   \n3      12349.0          1   1757.55       19     74.120662     17.227472   \n4      12350.0          1    334.40      310      5.369206     17.227472   \n\n   M_score_norm  Final Score  \n0     99.792579        40.26  \n1     92.279327        91.91  \n2     76.837981        61.73  \n3     76.192671        55.85  \n4     28.347546        16.98  ","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>customer_id</th>\n      <th>frequency</th>\n      <th>monetary</th>\n      <th>recency</th>\n      <th>R_score_norm</th>\n      <th>F_score_norm</th>\n      <th>M_score_norm</th>\n      <th>Final Score</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>12346.0</td>\n      <td>1</td>\n      <td>77183.60</td>\n      <td>326</td>\n      <td>3.750291</td>\n      <td>17.227472</td>\n      <td>99.792579</td>\n      <td>40.26</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>12347.0</td>\n      <td>7</td>\n      <td>4310.00</td>\n      <td>2</td>\n      <td>97.915211</td>\n      <td>85.526619</td>\n      <td>92.279327</td>\n      <td>91.91</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>12348.0</td>\n      <td>4</td>\n      <td>1797.24</td>\n      <td>75</td>\n      <td>38.504542</td>\n      <td>69.854805</td>\n      <td>76.837981</td>\n      <td>61.73</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>12349.0</td>\n      <td>1</td>\n      <td>1757.55</td>\n      <td>19</td>\n      <td>74.120662</td>\n      <td>17.227472</td>\n      <td>76.192671</td>\n      <td>55.85</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>12350.0</td>\n      <td>1</td>\n      <td>334.40</td>\n      <td>310</td>\n      <td>5.369206</td>\n      <td>17.227472</td>\n      <td>28.347546</td>\n      <td>16.98</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"cell_type":"code","source":"rfm['Segment']= rfm['Final Score'].apply(lambda x: 'Top Customer' if (x >=90) else ('High Value Customer' if (x >=75 and x<90) else('Medium Value Customer' if (x >=50 and x<75) else('Low Value Customer' if (x >=30 and x<50) else 'Lost Customer'))))\nrfm.head()","metadata":{"id":"Z_3MmmbmqlK8","outputId":"af38b816-7f71-412d-efde-4b602cc81ac3","execution":{"iopub.status.busy":"2022-11-19T23:51:21.431510Z","iopub.execute_input":"2022-11-19T23:51:21.431819Z","iopub.status.idle":"2022-11-19T23:51:21.453101Z","shell.execute_reply.started":"2022-11-19T23:51:21.431791Z","shell.execute_reply":"2022-11-19T23:51:21.452110Z"},"trusted":true},"execution_count":109,"outputs":[{"execution_count":109,"output_type":"execute_result","data":{"text/plain":"   customer_id  frequency  monetary  recency  R_score_norm  F_score_norm  \\\n0      12346.0          1  77183.60      326      3.750291     17.227472   \n1      12347.0          7   4310.00        2     97.915211     85.526619   \n2      12348.0          4   1797.24       75     38.504542     69.854805   \n3      12349.0          1   1757.55       19     74.120662     17.227472   \n4      12350.0          1    334.40      310      5.369206     17.227472   \n\n   M_score_norm  Final Score                Segment  \n0     99.792579        40.26     Low Value Customer  \n1     92.279327        91.91           Top Customer  \n2     76.837981        61.73  Medium Value Customer  \n3     76.192671        55.85  Medium Value Customer  \n4     28.347546        16.98          Lost Customer  ","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>customer_id</th>\n      <th>frequency</th>\n      <th>monetary</th>\n      <th>recency</th>\n      <th>R_score_norm</th>\n      <th>F_score_norm</th>\n      <th>M_score_norm</th>\n      <th>Final Score</th>\n      <th>Segment</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>12346.0</td>\n      <td>1</td>\n      <td>77183.60</td>\n      <td>326</td>\n      <td>3.750291</td>\n      <td>17.227472</td>\n      <td>99.792579</td>\n      <td>40.26</td>\n      <td>Low Value Customer</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>12347.0</td>\n      <td>7</td>\n      <td>4310.00</td>\n      <td>2</td>\n      <td>97.915211</td>\n      <td>85.526619</td>\n      <td>92.279327</td>\n      <td>91.91</td>\n      <td>Top Customer</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>12348.0</td>\n      <td>4</td>\n      <td>1797.24</td>\n      <td>75</td>\n      <td>38.504542</td>\n      <td>69.854805</td>\n      <td>76.837981</td>\n      <td>61.73</td>\n      <td>Medium Value Customer</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>12349.0</td>\n      <td>1</td>\n      <td>1757.55</td>\n      <td>19</td>\n      <td>74.120662</td>\n      <td>17.227472</td>\n      <td>76.192671</td>\n      <td>55.85</td>\n      <td>Medium Value Customer</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>12350.0</td>\n      <td>1</td>\n      <td>334.40</td>\n      <td>310</td>\n      <td>5.369206</td>\n      <td>17.227472</td>\n      <td>28.347546</td>\n      <td>16.98</td>\n      <td>Lost Customer</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"cell_type":"code","source":"plt.figure(figsize=(15,7))\nsns.countplot(rfm['Segment'])\nplt.xlabel(\"Number of Customers by category\")\nplt.show()","metadata":{"id":"Diw-6oRLrxgc","outputId":"5ff9cda5-b24c-48a9-8d7c-794db96a4d62","execution":{"iopub.status.busy":"2022-11-19T23:51:21.454362Z","iopub.execute_input":"2022-11-19T23:51:21.454652Z","iopub.status.idle":"2022-11-19T23:51:21.672681Z","shell.execute_reply.started":"2022-11-19T23:51:21.454625Z","shell.execute_reply":"2022-11-19T23:51:21.671659Z"},"trusted":true},"execution_count":110,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1080x504 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":"","metadata":{"id":"NLeCFw7etyI3"},"execution_count":null,"outputs":[]}]}