{"cells":[{"cell_type":"markdown","id":"f9570d0f","metadata":{"id":"f9570d0f"},"source":["# Artificial Intelligence for Credit Risk Assessment\n","### Predicting Loan Default Risk with Logistic Regression and Random Forest\n","\n","**Dataset:** `loans_full_schema.csv` (Lending Club, Q1 2018 originations, 10,000 loans, 56 fields) [1]\n","\n","This notebook covers: data preparation & EDA, model development (Logistic Regression baseline vs.\n","Random Forest ensemble) with hyperparameter tuning, evaluation & comparison, model interpretation\n","(feature importance and SHAP), and a fairness/bias analysis.\n"]},{"cell_type":"code","source":["from google.colab import drive\n","drive.mount('/content/drive')"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"dH8xzeHhGBNv","executionInfo":{"status":"ok","timestamp":1784292096888,"user_tz":-60,"elapsed":39932,"user":{"displayName":"Vivek nelapati","userId":"11760536282152039558"}},"outputId":"24c6e394-187e-441f-b453-53da64cc2ecc"},"id":"dH8xzeHhGBNv","execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Mounted at /content/drive\n"]}]},{"cell_type":"code","execution_count":null,"id":"1e964ba8","metadata":{"execution":{"iopub.execute_input":"2026-07-17T03:16:44.164653Z","iopub.status.busy":"2026-07-17T03:16:44.164439Z","iopub.status.idle":"2026-07-17T03:16:48.208814Z","shell.execute_reply":"2026-07-17T03:16:48.207127Z"},"id":"1e964ba8"},"outputs":[],"source":["import pandas as pd\n","import numpy as np\n","import matplotlib.pyplot as plt\n","import seaborn as sns\n","import warnings\n","warnings.filterwarnings(\"ignore\")\n","\n","from sklearn.model_selection import train_test_split, GridSearchCV, StratifiedKFold, cross_val_predict\n","from sklearn.preprocessing import StandardScaler, OneHotEncoder\n","from sklearn.compose import ColumnTransformer\n","from sklearn.pipeline import Pipeline\n","from sklearn.impute import SimpleImputer\n","from sklearn.linear_model import LogisticRegression\n","from sklearn.ensemble import RandomForestClassifier\n","from sklearn.metrics import (accuracy_score, precision_score, recall_score, f1_score,\n","                              roc_auc_score, average_precision_score, confusion_matrix,\n","                              precision_recall_curve, roc_curve, ConfusionMatrixDisplay)\n","import shap\n","\n","sns.set_style(\"whitegrid\")\n","RANDOM_STATE = 42\n","pd.set_option(\"display.max_columns\", None)\n"]},{"cell_type":"markdown","id":"960e54f6","metadata":{"id":"960e54f6"},"source":["## 1. Data Preparation and Exploration\n","\n","### 1.1 Load data and inspect structure"]},{"cell_type":"code","execution_count":null,"id":"feaff84d","metadata":{"execution":{"iopub.execute_input":"2026-07-17T03:16:48.211711Z","iopub.status.busy":"2026-07-17T03:16:48.211259Z","iopub.status.idle":"2026-07-17T03:16:48.461579Z","shell.execute_reply":"2026-07-17T03:16:48.460468Z"},"colab":{"base_uri":"https://localhost:8080/","height":330},"id":"feaff84d","executionInfo":{"status":"ok","timestamp":1784292300178,"user_tz":-60,"elapsed":2166,"user":{"displayName":"Vivek nelapati","userId":"11760536282152039558"}},"outputId":"5297532a-eb09-4e8e-fdc9-f97442da9595"},"outputs":[{"output_type":"stream","name":"stdout","text":["Shape: (10000, 55)\n"]},{"output_type":"execute_result","data":{"text/plain":["                 emp_title  emp_length state homeownership  annual_income  \\\n","0  global config engineer          3.0    NJ      MORTGAGE        90000.0   \n","1   warehouse office clerk        10.0    HI          RENT        40000.0   \n","2                 assembly         3.0    WI          RENT        40000.0   \n","3         customer service         1.0    PA          RENT        30000.0   \n","4     security supervisor         10.0    CA          RENT        35000.0   \n","\n","   verified_income  debt_to_income  annual_income_joint  \\\n","0         Verified           18.01                  NaN   \n","1     Not Verified            5.04                  NaN   \n","2  Source Verified           21.15                  NaN   \n","3     Not Verified           10.16                  NaN   \n","4         Verified           57.96              57000.0   \n","\n","  verification_income_joint  debt_to_income_joint  delinq_2y  \\\n","0                       NaN                   NaN          0   \n","1                       NaN                   NaN          0   \n","2                       NaN                   NaN          0   \n","3                       NaN                   NaN          0   \n","4                  Verified                 37.66          0   \n","\n","   months_since_last_delinq  earliest_credit_line  inquiries_last_12m  \\\n","0                      38.0                  2001                   6   \n","1                       NaN                  1996                   1   \n","2                      28.0                  2006                   4   \n","3                       NaN                  2007                   0   \n","4                       NaN                  2008                   7   \n","\n","   total_credit_lines  open_credit_lines  total_credit_limit  \\\n","0                  28                 10               70795   \n","1                  30                 14               28800   \n","2                  31                 10               24193   \n","3                   4                  4               25400   \n","4                  22                 16               69839   \n","\n","   total_credit_utilized  num_collections_last_12m  \\\n","0                  38767                         0   \n","1                   4321                         0   \n","2                  16000                         0   \n","3                   4997                         0   \n","4                  52722                         0   \n","\n","   num_historical_failed_to_pay  months_since_90d_late  \\\n","0                             0                   38.0   \n","1                             1                    NaN   \n","2                             0                   28.0   \n","3                             1                    NaN   \n","4                             0                    NaN   \n","\n","   current_accounts_delinq  total_collection_amount_ever  \\\n","0                        0                          1250   \n","1                        0                             0   \n","2                        0                           432   \n","3                        0                             0   \n","4                        0                             0   \n","\n","   current_installment_accounts  accounts_opened_24m  \\\n","0                             2                    5   \n","1                             0                   11   \n","2                             1                   13   \n","3                             1                    1   \n","4                             1                    6   \n","\n","   months_since_last_credit_inquiry  num_satisfactory_accounts  \\\n","0                               5.0                         10   \n","1                               8.0                         14   \n","2                               7.0                         10   \n","3                              15.0                          4   \n","4                               4.0                         16   \n","\n","   num_accounts_120d_past_due  num_accounts_30d_past_due  \\\n","0                         0.0                          0   \n","1                         0.0                          0   \n","2                         0.0                          0   \n","3                         0.0                          0   \n","4                         0.0                          0   \n","\n","   num_active_debit_accounts  total_debit_limit  num_total_cc_accounts  \\\n","0                          2              11100                     14   \n","1                          3              16500                     24   \n","2                          3               4300                     14   \n","3                          2              19400                      3   \n","4                         10              32700                     20   \n","\n","   num_open_cc_accounts  num_cc_carrying_balance  num_mort_accounts  \\\n","0                     8                        6                  1   \n","1                    14                        4                  0   \n","2                     8                        6                  0   \n","3                     3                        2                  0   \n","4                    15                       13                  0   \n","\n","   account_never_delinq_percent  tax_liens  public_record_bankrupt  \\\n","0                          92.9          0                       0   \n","1                         100.0          0                       1   \n","2                          93.5          0                       0   \n","3                         100.0          1                       0   \n","4                         100.0          0                       0   \n","\n","         loan_purpose application_type  loan_amount  term  interest_rate  \\\n","0              moving       individual        28000    60          14.07   \n","1  debt_consolidation       individual         5000    36          12.61   \n","2               other       individual         2000    36          17.09   \n","3  debt_consolidation       individual        21600    36           6.72   \n","4         credit_card            joint        23000    36          14.07   \n","\n","   installment grade sub_grade issue_month loan_status initial_listing_status  \\\n","0       652.53     C        C3    Mar-2018     Current                  whole   \n","1       167.54     C        C1    Feb-2018     Current                  whole   \n","2        71.40     D        D1    Feb-2018     Current             fractional   \n","3       664.19     A        A3    Jan-2018     Current                  whole   \n","4       786.87     C        C3    Mar-2018     Current                  whole   \n","\n","  disbursement_method   balance  paid_total  paid_principal  paid_interest  \\\n","0                Cash  27015.86     1999.33          984.14        1015.19   \n","1                Cash   4651.37      499.12          348.63         150.49   \n","2                Cash   1824.63      281.80          175.37         106.43   \n","3                Cash  18853.26     3312.89         2746.74         566.15   \n","4                Cash  21430.15     2324.65         1569.85         754.80   \n","\n","   paid_late_fees  \n","0             0.0  \n","1             0.0  \n","2             0.0  \n","3             0.0  \n","4             0.0  "],"text/html":["\n","  <div id=\"df-157e16b3-b788-4ab7-8401-d7f3022dde6a\" class=\"colab-df-container\">\n","    <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>emp_title</th>\n","      <th>emp_length</th>\n","      <th>state</th>\n","      <th>homeownership</th>\n","      <th>annual_income</th>\n","      <th>verified_income</th>\n","      <th>debt_to_income</th>\n","      <th>annual_income_joint</th>\n","      <th>verification_income_joint</th>\n","      <th>debt_to_income_joint</th>\n","      <th>delinq_2y</th>\n","      <th>months_since_last_delinq</th>\n","      <th>earliest_credit_line</th>\n","      <th>inquiries_last_12m</th>\n","      <th>total_credit_lines</th>\n","      <th>open_credit_lines</th>\n","      <th>total_credit_limit</th>\n","      <th>total_credit_utilized</th>\n","      <th>num_collections_last_12m</th>\n","      <th>num_historical_failed_to_pay</th>\n","      <th>months_since_90d_late</th>\n","      <th>current_accounts_delinq</th>\n","      <th>total_collection_amount_ever</th>\n","      <th>current_installment_accounts</th>\n","      <th>accounts_opened_24m</th>\n","      <th>months_since_last_credit_inquiry</th>\n","      <th>num_satisfactory_accounts</th>\n","      <th>num_accounts_120d_past_due</th>\n","      <th>num_accounts_30d_past_due</th>\n","      <th>num_active_debit_accounts</th>\n","      <th>total_debit_limit</th>\n","      <th>num_total_cc_accounts</th>\n","      <th>num_open_cc_accounts</th>\n","      <th>num_cc_carrying_balance</th>\n","      <th>num_mort_accounts</th>\n","      <th>account_never_delinq_percent</th>\n","      <th>tax_liens</th>\n","      <th>public_record_bankrupt</th>\n","      <th>loan_purpose</th>\n","      <th>application_type</th>\n","      <th>loan_amount</th>\n","      <th>term</th>\n","      <th>interest_rate</th>\n","      <th>installment</th>\n","      <th>grade</th>\n","      <th>sub_grade</th>\n","      <th>issue_month</th>\n","      <th>loan_status</th>\n","      <th>initial_listing_status</th>\n","      <th>disbursement_method</th>\n","      <th>balance</th>\n","      <th>paid_total</th>\n","      <th>paid_principal</th>\n","      <th>paid_interest</th>\n","      <th>paid_late_fees</th>\n","    </tr>\n","  </thead>\n","  <tbody>\n","    <tr>\n","      <th>0</th>\n","      <td>global config engineer</td>\n","      <td>3.0</td>\n","      <td>NJ</td>\n","      <td>MORTGAGE</td>\n","      <td>90000.0</td>\n","      <td>Verified</td>\n","      <td>18.01</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>0</td>\n","      <td>38.0</td>\n","      <td>2001</td>\n","      <td>6</td>\n","      <td>28</td>\n","      <td>10</td>\n","      <td>70795</td>\n","      <td>38767</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>38.0</td>\n","      <td>0</td>\n","      <td>1250</td>\n","      <td>2</td>\n","      <td>5</td>\n","      <td>5.0</td>\n","      <td>10</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","      <td>2</td>\n","      <td>11100</td>\n","      <td>14</td>\n","      <td>8</td>\n","      <td>6</td>\n","      <td>1</td>\n","      <td>92.9</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>moving</td>\n","      <td>individual</td>\n","      <td>28000</td>\n","      <td>60</td>\n","      <td>14.07</td>\n","      <td>652.53</td>\n","      <td>C</td>\n","      <td>C3</td>\n","      <td>Mar-2018</td>\n","      <td>Current</td>\n","      <td>whole</td>\n","      <td>Cash</td>\n","      <td>27015.86</td>\n","      <td>1999.33</td>\n","      <td>984.14</td>\n","      <td>1015.19</td>\n","      <td>0.0</td>\n","    </tr>\n","    <tr>\n","      <th>1</th>\n","      <td>warehouse office clerk</td>\n","      <td>10.0</td>\n","      <td>HI</td>\n","      <td>RENT</td>\n","      <td>40000.0</td>\n","      <td>Not Verified</td>\n","      <td>5.04</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>0</td>\n","      <td>NaN</td>\n","      <td>1996</td>\n","      <td>1</td>\n","      <td>30</td>\n","      <td>14</td>\n","      <td>28800</td>\n","      <td>4321</td>\n","      <td>0</td>\n","      <td>1</td>\n","      <td>NaN</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>11</td>\n","      <td>8.0</td>\n","      <td>14</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","      <td>3</td>\n","      <td>16500</td>\n","      <td>24</td>\n","      <td>14</td>\n","      <td>4</td>\n","      <td>0</td>\n","      <td>100.0</td>\n","      <td>0</td>\n","      <td>1</td>\n","      <td>debt_consolidation</td>\n","      <td>individual</td>\n","      <td>5000</td>\n","      <td>36</td>\n","      <td>12.61</td>\n","      <td>167.54</td>\n","      <td>C</td>\n","      <td>C1</td>\n","      <td>Feb-2018</td>\n","      <td>Current</td>\n","      <td>whole</td>\n","      <td>Cash</td>\n","      <td>4651.37</td>\n","      <td>499.12</td>\n","      <td>348.63</td>\n","      <td>150.49</td>\n","      <td>0.0</td>\n","    </tr>\n","    <tr>\n","      <th>2</th>\n","      <td>assembly</td>\n","      <td>3.0</td>\n","      <td>WI</td>\n","      <td>RENT</td>\n","      <td>40000.0</td>\n","      <td>Source Verified</td>\n","      <td>21.15</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>0</td>\n","      <td>28.0</td>\n","      <td>2006</td>\n","      <td>4</td>\n","      <td>31</td>\n","      <td>10</td>\n","      <td>24193</td>\n","      <td>16000</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>28.0</td>\n","      <td>0</td>\n","      <td>432</td>\n","      <td>1</td>\n","      <td>13</td>\n","      <td>7.0</td>\n","      <td>10</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","      <td>3</td>\n","      <td>4300</td>\n","      <td>14</td>\n","      <td>8</td>\n","      <td>6</td>\n","      <td>0</td>\n","      <td>93.5</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>other</td>\n","      <td>individual</td>\n","      <td>2000</td>\n","      <td>36</td>\n","      <td>17.09</td>\n","      <td>71.40</td>\n","      <td>D</td>\n","      <td>D1</td>\n","      <td>Feb-2018</td>\n","      <td>Current</td>\n","      <td>fractional</td>\n","      <td>Cash</td>\n","      <td>1824.63</td>\n","      <td>281.80</td>\n","      <td>175.37</td>\n","      <td>106.43</td>\n","      <td>0.0</td>\n","    </tr>\n","    <tr>\n","      <th>3</th>\n","      <td>customer service</td>\n","      <td>1.0</td>\n","      <td>PA</td>\n","      <td>RENT</td>\n","      <td>30000.0</td>\n","      <td>Not Verified</td>\n","      <td>10.16</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>0</td>\n","      <td>NaN</td>\n","      <td>2007</td>\n","      <td>0</td>\n","      <td>4</td>\n","      <td>4</td>\n","      <td>25400</td>\n","      <td>4997</td>\n","      <td>0</td>\n","      <td>1</td>\n","      <td>NaN</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>1</td>\n","      <td>1</td>\n","      <td>15.0</td>\n","      <td>4</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","      <td>2</td>\n","      <td>19400</td>\n","      <td>3</td>\n","      <td>3</td>\n","      <td>2</td>\n","      <td>0</td>\n","      <td>100.0</td>\n","      <td>1</td>\n","      <td>0</td>\n","      <td>debt_consolidation</td>\n","      <td>individual</td>\n","      <td>21600</td>\n","      <td>36</td>\n","      <td>6.72</td>\n","      <td>664.19</td>\n","      <td>A</td>\n","      <td>A3</td>\n","      <td>Jan-2018</td>\n","      <td>Current</td>\n","      <td>whole</td>\n","      <td>Cash</td>\n","      <td>18853.26</td>\n","      <td>3312.89</td>\n","      <td>2746.74</td>\n","      <td>566.15</td>\n","      <td>0.0</td>\n","    </tr>\n","    <tr>\n","      <th>4</th>\n","      <td>security supervisor</td>\n","      <td>10.0</td>\n","      <td>CA</td>\n","      <td>RENT</td>\n","      <td>35000.0</td>\n","      <td>Verified</td>\n","      <td>57.96</td>\n","      <td>57000.0</td>\n","      <td>Verified</td>\n","      <td>37.66</td>\n","      <td>0</td>\n","      <td>NaN</td>\n","      <td>2008</td>\n","      <td>7</td>\n","      <td>22</td>\n","      <td>16</td>\n","      <td>69839</td>\n","      <td>52722</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>NaN</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>1</td>\n","      <td>6</td>\n","      <td>4.0</td>\n","      <td>16</td>\n","      <td>0.0</td>\n","      <td>0</td>\n","      <td>10</td>\n","      <td>32700</td>\n","      <td>20</td>\n","      <td>15</td>\n","      <td>13</td>\n","      <td>0</td>\n","      <td>100.0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>credit_card</td>\n","      <td>joint</td>\n","      <td>23000</td>\n","      <td>36</td>\n","      <td>14.07</td>\n","      <td>786.87</td>\n","      <td>C</td>\n","      <td>C3</td>\n","      <td>Mar-2018</td>\n","      <td>Current</td>\n","      <td>whole</td>\n","      <td>Cash</td>\n","      <td>21430.15</td>\n","      <td>2324.65</td>\n","      <td>1569.85</td>\n","      <td>754.80</td>\n","      <td>0.0</td>\n","    </tr>\n","  </tbody>\n","</table>\n","</div>\n","    <div class=\"colab-df-buttons\">\n","\n","  <div class=\"colab-df-container\">\n","    <button 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  Column                            Non-Null Count  Dtype  \n","---  ------                            --------------  -----  \n"," 0   emp_title                         9167 non-null   object \n"," 1   emp_length                        9183 non-null   float64\n"," 2   state                             10000 non-null  object \n"," 3   homeownership                     10000 non-null  object \n"," 4   annual_income                     10000 non-null  float64\n"," 5   verified_income                   10000 non-null  object \n"," 6   debt_to_income                    9976 non-null   float64\n"," 7   annual_income_joint               1495 non-null   float64\n"," 8   verification_income_joint         1455 non-null   object \n"," 9   debt_to_income_joint              1495 non-null   float64\n"," 10  delinq_2y                         10000 non-null  int64  \n"," 11  months_since_last_delinq          4342 non-null   float64\n"," 12  earliest_credit_line              10000 non-null  int64  \n"," 13  inquiries_last_12m                10000 non-null  int64  \n"," 14  total_credit_lines                10000 non-null  int64  \n"," 15  open_credit_lines                 10000 non-null  int64  \n"," 16  total_credit_limit                10000 non-null  int64  \n"," 17  total_credit_utilized             10000 non-null  int64  \n"," 18  num_collections_last_12m          10000 non-null  int64  \n"," 19  num_historical_failed_to_pay      10000 non-null  int64  \n"," 20  months_since_90d_late             2285 non-null   float64\n"," 21  current_accounts_delinq           10000 non-null  int64  \n"," 22  total_collection_amount_ever      10000 non-null  int64  \n"," 23  current_installment_accounts      10000 non-null  int64  \n"," 24  accounts_opened_24m               10000 non-null  int64  \n"," 25  months_since_last_credit_inquiry  8729 non-null   float64\n"," 26  num_satisfactory_accounts         10000 non-null  int64  \n"," 27  num_accounts_120d_past_due        9682 non-null   float64\n"," 28  num_accounts_30d_past_due         10000 non-null  int64  \n"," 29  num_active_debit_accounts         10000 non-null  int64  \n"," 30  total_debit_limit                 10000 non-null  int64  \n"," 31  num_total_cc_accounts             10000 non-null  int64  \n"," 32  num_open_cc_accounts              10000 non-null  int64  \n"," 33  num_cc_carrying_balance           10000 non-null  int64  \n"," 34  num_mort_accounts                 10000 non-null  int64  \n"," 35  account_never_delinq_percent      10000 non-null  float64\n"," 36  tax_liens                         10000 non-null  int64  \n"," 37  public_record_bankrupt            10000 non-null  int64  \n"," 38  loan_purpose                      10000 non-null  object \n"," 39  application_type                  10000 non-null  object \n"," 40  loan_amount                       10000 non-null  int64  \n"," 41  term                              10000 non-null  int64  \n"," 42  interest_rate                     10000 non-null  float64\n"," 43  installment                       10000 non-null  float64\n"," 44  grade                             10000 non-null  object \n"," 45  sub_grade                         10000 non-null  object \n"," 46  issue_month                       10000 non-null  object \n"," 47  loan_status                       10000 non-null  object \n"," 48  initial_listing_status            10000 non-null  object \n"," 49  disbursement_method               10000 non-null  object \n"," 50  balance                           10000 non-null  float64\n"," 51  paid_total                        10000 non-null  float64\n"," 52  paid_principal                    10000 non-null  float64\n"," 53  paid_interest                     10000 non-null  float64\n"," 54  paid_late_fees                    10000 non-null  float64\n","dtypes: float64(17), int64(25), object(13)\n","memory usage: 4.2+ MB\n"]}],"source":["df.info()"]},{"cell_type":"markdown","id":"abc9d1fa","metadata":{"id":"abc9d1fa"},"source":["### 1.2 Target variable: defining \"default\"\n","\n","The raw `loan_status` field is heavily skewed toward **\"Current\"** (9,375 of 10,000 loans), because\n","this dataset is a *snapshot* of loans issued in Jan-Mar 2018 — most loans are simply too young to\n","have reached a final, resolved outcome yet. Only 454 loans have a fully resolved status (Fully Paid\n","or Charged Off), and just 7 are confirmed charge-offs — far too few to model directly.\n","\n","To obtain a usable target, we build a **delinquency-risk proxy**: any loan showing signs of\n","repayment trouble (Charged Off, In Grace Period, or Late by 16+ days) is labelled `default = 1`;\n","loans that are Current or Fully Paid are labelled `default = 0`. This is a standard, pragmatic\n","workaround for this dataset, but it is an important methodological limitation to be transparent\n","about — it measures *early delinquency risk*, not confirmed lifetime default, and \"Current\" loans\n","that later go bad are (unavoidably) mislabelled as 0. We revisit this in the Discussion."]},{"cell_type":"code","execution_count":null,"id":"ead36258","metadata":{"execution":{"iopub.execute_input":"2026-07-17T03:16:48.538515Z","iopub.status.busy":"2026-07-17T03:16:48.538326Z","iopub.status.idle":"2026-07-17T03:16:48.798975Z","shell.execute_reply":"2026-07-17T03:16:48.797828Z"},"colab":{"base_uri":"https://localhost:8080/","height":546},"id":"ead36258","executionInfo":{"status":"ok","timestamp":1784292363274,"user_tz":-60,"elapsed":1084,"user":{"displayName":"Vivek nelapati","userId":"11760536282152039558"}},"outputId":"2162f63f-adde-4c39-dd0e-355858627833"},"outputs":[{"output_type":"stream","name":"stdout","text":["loan_status\n","Current               9375\n","Fully Paid             447\n","In Grace Period         67\n","Late (31-120 days)      66\n","Late (16-30 days)       38\n","Charged Off              7\n","Name: count, dtype: int64\n"]},{"output_type":"display_data","data":{"text/plain":["<Figure size 500x400 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}],"source":["import os\n","\n","print(df[\"loan_status\"].value_counts())\n","\n","DEFAULT_STATUSES = [\"Charged Off\", \"Late (31-120 days)\", \"Late (16-30 days)\", \"In Grace Period\"]\n","df[\"default\"] = df[\"loan_status\"].isin(DEFAULT_STATUSES).astype(int)\n","\n","fig, ax = plt.subplots(figsize=(5, 4))\n","df[\"default\"].value_counts().plot(kind=\"bar\", ax=ax, color=[\"#4C72B0\", \"#C44E52\"])\n","ax.set_xticklabels([\"Non-default (0)\", \"Default/at-risk (1)\"], rotation=0)\n","ax.set_ylabel(\"Number of loans\")\n","ax.set_title(f\"Target class balance (positive rate = {df['default'].mean():.2%})\")\n","plt.tight_layout()\n","\n","# Create the directory if it doesn't exist\n","os.makedirs('../outputs/', exist_ok=True)\n","\n","plt.savefig(\"../outputs/fig_class_balance.png\", dpi=120)\n","plt.show()"]},{"cell_type":"markdown","id":"e850f2fd","metadata":{"id":"e850f2fd"},"source":["### 1.3 Removing leakage and circular features\n","\n","Several columns must be removed **before** any modelling, for two different reasons:\n","\n","1. **Outcome leakage** — `balance`, `paid_total`, `paid_principal`, `paid_interest`, `paid_late_fees`\n","   describe how the loan has performed *since* origination. These are downstream consequences of\n","   default, not predictors of it, and including them would let the model see the answer.\n","2. **Circularity** — `grade`, `sub_grade`, `interest_rate`, and `installment` are Lending Club's\n","   *own* internal risk assessment, assigned at origination. A model trained on these would mostly\n","   be re-deriving Lending Club's existing score rather than independently assessing risk from\n","   applicant and credit-bureau attributes. We exclude them from the primary model for methodological\n","   rigor (see the sensitivity check in Section 3.4, which quantifies how much predictive signal\n","   these circular fields alone contain)."]},{"cell_type":"code","execution_count":null,"id":"f8473af5","metadata":{"execution":{"iopub.execute_input":"2026-07-17T03:16:48.800886Z","iopub.status.busy":"2026-07-17T03:16:48.800679Z","iopub.status.idle":"2026-07-17T03:16:48.807642Z","shell.execute_reply":"2026-07-17T03:16:48.806726Z"},"colab":{"base_uri":"https://localhost:8080/"},"id":"f8473af5","executionInfo":{"status":"ok","timestamp":1784292371030,"user_tz":-60,"elapsed":49,"user":{"displayName":"Vivek nelapati","userId":"11760536282152039558"}},"outputId":"15457b02-0e75-4d29-e3cf-7e2724c352f3"},"outputs":[{"output_type":"stream","name":"stdout","text":["Remaining columns: 46\n"]}],"source":["leakage_cols = [\"loan_status\", \"balance\", \"paid_total\", \"paid_principal\", \"paid_interest\", \"paid_late_fees\"]\n","circular_cols = [\"grade\", \"sub_grade\", \"interest_rate\", \"installment\"]\n","df = df.drop(columns=leakage_cols + circular_cols)\n","print(\"Remaining columns:\", df.shape[1])"]},{"cell_type":"markdown","id":"3cc55035","metadata":{"id":"3cc55035"},"source":["### 1.4 Missing values and feature engineering\n","\n","- `emp_title` (free-text job title, high cardinality, 8.3% missing) is dropped — not usable as a\n","  categorical feature without extensive NLP processing, which is out of scope here.\n","- `issue_month` only spans Jan–Mar 2018 (a single-quarter snapshot), so it carries negligible\n","  signal and is dropped.\n","- `earliest_credit_line` is converted into `credit_history_years` (years of credit history as of\n","  loan issuance).\n","- `state` (50 categories) is grouped into 4 US Census regions — this both reduces dimensionality\n","  and gives a cleaner, more interpretable grouping for the fairness analysis later.\n","- The three `months_since_*` columns (`months_since_last_delinq`, `months_since_90d_late`,\n","  `months_since_last_credit_inquiry`) have large amounts of missingness that is **not random** —\n","  missing means the event *never happened* to that borrower, not that the value is unknown. We\n","  encode this explicitly with a binary flag, then fill with a large sentinel value (999) so that\n","  models can distinguish \"never happened\" from a genuinely low recency value.\n","- The three joint-application fields (`annual_income_joint`, `verification_income_joint`,\n","  `debt_to_income_joint`) are ~85% missing simply because most applications are individual, which\n","  `application_type` already captures — the joint-specific duplicates are dropped."]},{"cell_type":"code","execution_count":null,"id":"9d0ea371","metadata":{"execution":{"iopub.execute_input":"2026-07-17T03:16:48.809726Z","iopub.status.busy":"2026-07-17T03:16:48.809460Z","iopub.status.idle":"2026-07-17T03:16:48.833236Z","shell.execute_reply":"2026-07-17T03:16:48.832165Z"},"colab":{"base_uri":"https://localhost:8080/"},"id":"9d0ea371","executionInfo":{"status":"ok","timestamp":1784292375402,"user_tz":-60,"elapsed":49,"user":{"displayName":"Vivek nelapati","userId":"11760536282152039558"}},"outputId":"0b9b23f5-1e06-4b03-f8ba-44860b2738b3"},"outputs":[{"output_type":"stream","name":"stdout","text":["Final shape: (10000, 44)\n","\n","Remaining missingness (handled by the pipeline's imputer):\n","emp_length                    0.0817\n","num_accounts_120d_past_due    0.0318\n","debt_to_income                0.0024\n","dtype: float64\n"]}],"source":["df[\"credit_history_years\"] = 2018 - df[\"earliest_credit_line\"]\n","df = df.drop(columns=[\"earliest_credit_line\", \"emp_title\", \"issue_month\"])\n","\n","region_map = {\n","    \"CT\": \"Northeast\", \"ME\": \"Northeast\", \"MA\": \"Northeast\", \"NH\": \"Northeast\", \"RI\": \"Northeast\",\n","    \"VT\": \"Northeast\", \"NJ\": \"Northeast\", \"NY\": \"Northeast\", \"PA\": \"Northeast\",\n","    \"IL\": \"Midwest\", \"IN\": \"Midwest\", \"MI\": \"Midwest\", \"OH\": \"Midwest\", \"WI\": \"Midwest\",\n","    \"IA\": \"Midwest\", \"KS\": \"Midwest\", \"MN\": \"Midwest\", \"MO\": \"Midwest\", \"NE\": \"Midwest\",\n","    \"ND\": \"Midwest\", \"SD\": \"Midwest\",\n","    \"DE\": \"South\", \"FL\": \"South\", \"GA\": \"South\", \"MD\": \"South\", \"NC\": \"South\", \"SC\": \"South\",\n","    \"VA\": \"South\", \"DC\": \"South\", \"WV\": \"South\", \"AL\": \"South\", \"KY\": \"South\", \"MS\": \"South\",\n","    \"TN\": \"South\", \"AR\": \"South\", \"LA\": \"South\", \"OK\": \"South\", \"TX\": \"South\",\n","    \"AZ\": \"West\", \"CO\": \"West\", \"ID\": \"West\", \"MT\": \"West\", \"NV\": \"West\", \"NM\": \"West\",\n","    \"UT\": \"West\", \"WY\": \"West\", \"AK\": \"West\", \"CA\": \"West\", \"HI\": \"West\", \"OR\": \"West\", \"WA\": \"West\",\n","}\n","df[\"region\"] = df[\"state\"].map(region_map)\n","df = df.drop(columns=[\"state\"])\n","\n","for col, flag_name, sentinel in [\n","    (\"months_since_last_delinq\", \"never_delinquent\", 999),\n","    (\"months_since_90d_late\", \"never_90d_late\", 999),\n","    (\"months_since_last_credit_inquiry\", \"no_recent_inquiry\", 999),\n","]:\n","    df[flag_name] = df[col].isna().astype(int)\n","    df[col] = df[col].fillna(sentinel)\n","\n","df = df.drop(columns=[\"annual_income_joint\", \"verification_income_joint\", \"debt_to_income_joint\"])\n","\n","print(\"Final shape:\", df.shape)\n","missing = df.isna().mean().sort_values(ascending=False)\n","print(\"\\nRemaining missingness (handled by the pipeline's imputer):\")\n","print(missing[missing > 0])"]},{"cell_type":"markdown","id":"d90497d9","metadata":{"id":"d90497d9"},"source":["### 1.5 Exploratory analysis: correlations and potential bias signals\n","\n","Note: this dataset does **not** contain gender, race, or age — US consumer lending law\n","(Equal Credit Opportunity Act / Regulation B) generally prohibits using these directly in\n","credit decisions, so Lending Club does not collect/publish them in this form. We instead examine\n","plausible **socio-economic proxies** available in the data — home ownership, income verification\n","status, and geographic region — which can still correlate with protected characteristics and\n","introduce indirect bias even when the model never sees a protected attribute directly."]},{"cell_type":"code","execution_count":null,"id":"6a18da30","metadata":{"execution":{"iopub.execute_input":"2026-07-17T03:16:48.835274Z","iopub.status.busy":"2026-07-17T03:16:48.835075Z","iopub.status.idle":"2026-07-17T03:16:49.290889Z","shell.execute_reply":"2026-07-17T03:16:49.289665Z"},"colab":{"base_uri":"https://localhost:8080/","height":1000},"id":"6a18da30","executionInfo":{"status":"ok","timestamp":1784292380945,"user_tz":-60,"elapsed":494,"user":{"displayName":"Vivek nelapati","userId":"11760536282152039558"}},"outputId":"8799b90e-9207-4caa-c265-f77ca14cd712"},"outputs":[{"output_type":"stream","name":"stdout","text":["Top 15 numeric correlations with default:\n","inquiries_last_12m                  0.026515\n","term                                0.026440\n","num_total_cc_accounts              -0.026157\n","num_open_cc_accounts               -0.024187\n","open_credit_lines                  -0.022682\n","num_satisfactory_accounts          -0.022661\n","total_credit_lines                 -0.022652\n","loan_amount                         0.022190\n","months_since_last_credit_inquiry   -0.020235\n","no_recent_inquiry                  -0.019581\n","num_active_debit_accounts          -0.015832\n","num_mort_accounts                  -0.015499\n","never_90d_late                     -0.014999\n","months_since_90d_late              -0.014954\n","num_cc_carrying_balance            -0.012735\n","Name: default, dtype: float64\n"]},{"output_type":"display_data","data":{"text/plain":["<Figure size 600x800 with 1 Axes>"],"image/png":"iVBORw0KGgoAAAANSUhEUgAAAnAAAAMWCAYAAABxybtQAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlHJYcgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAzclJREFUeJzs3XlYjfn/P/Dn6QhRZEnIHh0i2miUNbtkSYwthuxZki17dsJYamgyMwxmjC2N3cgMUyS7+pBlwqSMrawV1Tnn94df99fRelKd7tPzcV1zXXPu5X2/3veS57nv+9y3RKlUKkFEREREoqGj6QKIiIiISD0McEREREQiwwBHREREJDIMcEREREQiwwBHREREJDIMcEREREQiwwBHREREJDIMcEREREQiwwBHREREJDIMcEREOQgKCoJMJkNcXFyBtBcZGYlBgwbB0tISMpkM0dHRBdIuFTw/Pz/IZLICbTMiIgIymQwREREF2q4mqXOMZEwbFRVVoDV4e3vD0dEx3/P/8MMP6NSpE5o0aYI+ffoUYGX/p6C3fakCaYWIVOT1j/6OHTtgZ2dXqLX8+uuvuHDhAiIjI/Hff/+hX79+WLVqVabpgoKCMGfOnCzbCAsLg5GRUaHWWRKkpaXB09MTpUuXxpw5c1C2bFnUrFmzwJfz9OlT7N27F507d0aTJk0KvH3K3S+//AI9PT24uLhouhSNEFP/w8LCsGbNGvTu3RuTJ09GpUqVimzZhw8fRkJCAr755hu152WAIyoEvr6+Kp9///13nDt3LtNwU1PTQq/lhx9+QFJSEiwsLPD8+fNcp58yZQpq1aqlMqxChQqFVV6x16dPHzg5OaF06dJf3FZsbCzi4+OxbNkyDBgwoACqy9qzZ8/g7+8PExMTBjgN2b17NypVqpQpwLRs2RKRkZHQ1dXVUGUFL6tjJLv+F0cXLlyAjo4Oli9fXiDHuTqOHDmCe/fuMcARFRefn4K/ceMGzp07V2in5nOyc+dO1KxZExKJBFZWVrlO365dO1hYWBRBZcVbcnIyypUrB6lUCqlUWiBtJiYmAgAMDAwKpL2i9uHDB+jq6kJHp/jefaNQKJCWloYyZcpkGpexTTVJR0cny9rErCCPEU1ISEhA2bJlizy8faniexQSabnk5GSsWrUK7du3R7NmzdCtWzf8+OOPUCqVKtPJZDIsWbIEhw4dQrdu3WBhYQEXFxdcunQpT8sxMTGBRCJRq7Z3795BLperNY+joyPGjRuHy5cvw9XVFRYWFujUqROCg4NVpsvuvqKs7qPJaDMiIgIuLi5o3rw5nJ2dhXtI/vjjDzg7Owvr5NatW5najYmJwZQpU9CqVSthutOnT2e57IsXL8LHxwetW7dG+/bts60LAM6ePYthw4bBysoK1tbW6N+/Pw4fPpzt+vH29sawYcMAAFOnToVMJoObm5tadb569QqrV6+Gs7OzsNzRo0fj9u3bwjQRERFwdXUFAMyZMwcymQwymQxBQUHCOvX29s5Un5ubm0o9GffrHD16FOvXr0fbtm3RokULvHv3DsDHLyXu7u6wsbFBixYtMGzYMFy5ciXb/n/qw4cP8PPzE/bnNm3aYNKkSYiNjRWmyc/x4eTkBAsLC4SGhua4TYGP22/IkCGwtLSElZUVxo4di3v37uVa+4EDBzB8+HC0bt0azZo1Q8+ePfHrr7+qTOPo6Ih79+7h4sWLwvrPWLfZ3Qd1/PhxYR+3s7PDjBkz8PTpU5VpvL29YWVlhadPn2LixImwsrLCV199hdWrV2c6Xo8ePQoXFxdhP3F2dsbPP/+cY9/69euHSZMmqQxzdnaGTCZT2ceOHTsGmUyGmJgYAJmPkZz6nyE1NRUrV67EV199BUtLS3h4eAhfcHITEhKCXr16wcLCAr169cKpU6eynE6hUGD79u3CfmFvb4+FCxfi9evXwjQZx0ZycnKmYyUv2zqjDT8/v0zDszvWMri5ueHMmTOIj48Xlq3OfXw8A0ekAUqlEhMmTBD+sW3SpAlCQ0Ph6+uLp0+fYu7cuSrTX7p0CceOHYObmxtKly6N3bt3Y/To0di3bx/MzMwKtLbhw4cjOTkZurq6aNOmDby9vVGvXr08zfvvv/9i6tSpcHV1Rb9+/XDgwAF4e3ujadOmaNSoUb7q+ffffzF9+nQMGjQIvXv3xk8//YTx48dj8eLFWL9+PQYPHgwACAwMhKenJ06cOCGcIbp37x4GDx4MY2NjjBkzBuXKlcPx48fh4eEBPz8/dOnSRWVZixcvRuXKleHh4YHk5ORsawoKCsLcuXPRqFEjjBs3DgYGBoiOjkZoaCicnZ2znOfrr7+GsbExAgIC4ObmBgsLC1StWlWtOh89eoSQkBB0794dtWrVwosXL7Bnzx4MGzYMR48ehbGxMUxNTTFlyhRs2rQJX3/9NWxsbAAA1tbW+Vr/mzdvhq6uLtzd3ZGamgpdXV2Eh4djzJgxaNasGSZNmgSJRIKgoCCMGDECv/76K5o3b55te3K5HOPGjUN4eDicnJwwfPhwJCUl4dy5c7h79y7q1Kmj9vFx4cIFHD9+HEOHDkWlSpVgYmKCN2/eAMh6mwYHB8Pb2xtt2rTBjBkzkJKSgt27d2PIkCE4ePBgplsIPrV79240atQIjo6OKFWqFP766y8sXrwYSqUSQ4cOBQDMnTsXS5cuRbly5TB+/HgAELZ1VjLuP7WwsICXlxcSEhKwY8cOXL16FcHBwSq3MMjlcri7u6N58+aYNWsWwsPD8dNPP6F27doYMmQIAODcuXPw8vJC69atMWPGDADA/fv3cfXqVYwYMSLbOmxsbHD06FHh86tXr3Dv3j3o6OjgypUraNy4MQDg8uXLqFy5cra3gOSl/8uWLUOFChUwadIkxMfH4+eff8aSJUuwYcOGbOsDPt6vNnnyZDRs2BDTp0/Hy5cvMWfOHFSvXj3TtAsXLsTBgwfh4uICNzc3xMXF4ZdffsGtW7ewe/du6OrqwtfXF3v37kVkZCSWLVsG4P+Olbxs6y8xfvx4vH37Fk+ePBHuPy5fvnzeG1ASUaFbvHix0szMTPh86tQppZmZmXLz5s0q002ePFkpk8mU//77rzDMzMxMaWZmpoyKihKGxcfHKy0sLJQeHh5q1WFpaamcPXt2luOOHj2q9Pb2Vh48eFB56tQp5fr165UtWrRQ2tnZKR8/fpxr2x07dlSamZkpL126JAxLSEhQNmvWTLlq1Sph2KZNm1TWRYYDBw4ozczMlI8ePcrU5tWrV4VhoaGhSjMzM2Xz5s2V8fHxwvDffvtNaWZmprxw4YIwbMSIEcpevXopP3z4IAxTKBTKr7/+Wtm1a9dMyx48eLAyPT09x7revHmjtLKyUg4YMED5/v17lWkVCkWO6+jChQtKMzMz5fHjx1WG57XODx8+KOVyucq8jx49UjZr1kzp7+8vDIuMjFSamZkpDxw4kKmGjh07ZrkPDBs2TDls2LBMtXbq1EmZkpKiUlfXrl2Vo0aNUulvSkqK0tHRUTly5Mgc18H+/fuVZmZmym3btmUal9GeusdH48aNlffu3VOZNrtt+u7dO6Wtra1y/vz5KtM/f/5caWNjozI8q33103WRYdSoUcpOnTqpDHNyclJZnxky1mvGfpqamqps3bq1slevXir7019//aU0MzNTbty4URg2e/ZspZmZmcq2ViqVyr59+yr79esnfF62bJnS2to6076cm+PHjyvNzMyU//zzj1KpVCpPnz6tbNasmXL8+PFKT09PYTpnZ2eVvz1ZHbvZ9T9j2m+++UZl/1mxYoWySZMmyjdv3uRYY58+fZQODg4q04WFhSnNzMyUHTt2FIZdunRJaWZmpjx06JDK/H///Xem4bNnz1ZaWlpmWlZet7WZmZly06ZNmab9/Fj7fNsrlUrl2LFjVepWBy+hEmnA33//DalUmumywqhRo6BUKvH333+rDLeyskKzZs2EzzVr1kSnTp0QFham9qXO7PTs2RMrV65E37590blzZ3h6euKHH37Aq1evsGXLljy10bBhQ9ja2gqfK1eujPr16+PRo0f5rqthw4Yq9+61aNECAPDVV1+p/IIzY3jGsl69eoULFy6gR48eePfuHRITE5GYmIiXL1+iTZs2ePjwYaZLVAMHDsz1Xp5z584hKSkJY8eOzXQvk7qXqtWts3Tp0sLZRblcjpcvX6JcuXKoX79+lpePC0Lfvn1RtmxZ4XN0dDQePnwIZ2dnvHz5Uqg3OTkZrVu3xqVLl6BQKLJt748//kClSpWEy8mfylh/6h4fLVu2RMOGDbNc3ufb9Pz583jz5g2cnJyE2hMTE6Gjo4MWLVrk+oiHT9fF27dvkZiYiFatWuHRo0d4+/ZtjvNm5X//+x8SEhIwePBglf2pQ4cOaNCgAc6cOZNpnoyzzhlsbGxULvFXqFABKSkpOHfunFq1ZBy7GbdnXL58GRYWFnBwcMDly5cBAG/evMG9e/dUjvP8GDhwoMrxYmtrC7lcjvj4+GznefbsGaKjo9GvXz+V+0gdHBwybf8TJ07AwMAADg4OKtu5adOmKFeuXJ4e5VHQ27qg8RIqkQbEx8ejWrVq0NfXVxmecUni8z9idevWzdRGvXr1kJKSgsTExEJ7xIetrS1atGiB8PDwPE1fo0aNTMMqVqyocs+Juj5vM+MP9+eXTDLWZcals9jYWCiVSmzcuBEbN27Msu2EhAQYGxsLn3O6dJYh4z6t/F4Szqq9vNapUCiwY8cO/Prrr4iLi1MJ74aGhgVSz+c+XycPHz4EAMyePTvbed6+fYuKFStmOS42Nhb169dHqVLZ//Oj7vGR03bLrv7sLiV+vszPXblyBX5+frh+/TpSUlJUxr19+1btH6g8fvwYAFC/fv1M4xo0aJDpvsIyZcqgcuXKKsM+P8aGDBmC48ePY8yYMTA2NoaDgwN69OiBdu3a5VhL1apVUa9ePVy+fBmDBg3ClStXYGdnB1tbWyxduhSPHj1CTEwMFAqFcGk+vz5/fE7GZeKM4zcrGesqq7+Hn3+J+ffff/H27Vu0bt06y7YSEhJyrbGgt3VBY4AjohxVr14dDx48yNO0efklWnZnqbI7k5hdm9kNV/7/m9wzzgKNGjUKbdu2zXLaOnXqqHzWxK8D1akzICAAGzduRP/+/TF16lRUrFgROjo6WLFiRaab+9Ull8uzXKefnoUA/m/9zpo1K9tHlBT1Lz0/r/FTn2/TjPp9fX2z/OKT0z4cGxuLb775Bg0aNIC3tzdq1KgBXV1dnD17Ftu3b8/xzGNBycsxVqVKFQQHByMsLAx///03/v77bwQFBaFv375YvXp1jvNaW1vjwoULeP/+PW7evImJEyfCzMwMFSpUwOXLlxETE4Ny5crB3Nz8i/qR3S+Zv3Q/zqBQKFClShWsXbs2y/Gfh+DPFcS2LqirI9lhgCPSABMTE4SHh+Pdu3cq3/jv378vjP/Uv//+m6mNhw8fQk9PL9c/RF/q0aNHBfpgy0+/aX96c3bGt+uCUrt2bQCArq4u7O3tC6zdjDB17969LM8EqEudOk+ePAk7OzusWLFCZfibN29UtlFOl3IrVqyY5VmOx48fC7XkpV59ff18rdc6dergxo0bSEtLy/ZZaOoeH+rIqL9KlSpq1//nn38iNTUVW7ZsUTmDlNXluLxeTs9o58GDB5nOFj148CDfD3ouXbo0HB0d4ejoCIVCAR8fH+zZswcTJ07Mcb+1tbVFUFAQjh49CrlcDmtra+jo6MDGxkYIcNbW1rkGyfzcTpCbjHWR1d/Dz79k1qlTB+Hh4bC2ts4x4GdHnW2d1TGVmpqap+dufsl64j1wRBrQrl07yOVy/PLLLyrDt2/fDolEkulSx7Vr13Dz5k3h83///YfTp0/DwcGhwJ9R9qmzZ8/i5s2b2Z4Zyo+MAPTpY1CSk5MzPW7kS1WpUgWtWrXCnj178OzZs0zj8/rIgs+1adMG5cuXx/fff48PHz6ojMvP2QN16pRKpZmWcfz48Uz38unp6QHI+nJU7dq1cePGDaSmpgrD/vrrL/z33395qrdZs2aoU6cOfvrpJyQlJeVYb1a6du2Kly9fZtr3gf9bf+oeH+po27Yt9PX18f333yMtLU2t+jOOtU+3wdu3b3HgwIFM0+rp6eV4OTBDs2bNUKVKFfz2228q2+Ts2bOIiYlBhw4dcm3jcy9fvlT5rKOjIzy659NlZCXj3ratW7dCJpMJlwltbGwQHh6O//3vf3m6fJrX/qujWrVqaNKkCQ4ePKhyD9q5c+fwzz//qEzbo0cPyOVybN68OVM76enpudamzrauXbu2cI9ghr179+bpDJyenl6+76fjGTgiDXB0dISdnR3Wr18vPAPo3LlzOH36NEaMGJHp0p6ZmRnc3d1VHiMCAJMnT851WX/++afwDKe0tDTcuXNH+KPm6OgoPBpg0KBBaNKkCZo1awYDAwPcunULBw4cQI0aNYRHARQEBwcH1KxZE/PmzcP9+/chlUpx4MABVKpUqcDPwi1atAhDhgyBs7MzBg4ciNq1a+PFixe4fv06njx5gkOHDqndpr6+PubMmYP58+fD1dUVvXr1QoUKFXD79m28f/8+10tUX1Jnhw4d8N1332HOnDmwsrLC3bt3cfjw4UxnzurUqYMKFSrgt99+Q/ny5VGuXDk0b94ctWvXxoABA3Dy5EmMHj0aPXr0QGxsLA4fPpxpn8uOjo4Oli1bhjFjxqBXr15wcXGBsbExnj59ioiICOjr6yMgICDb+fv27Yvg4GCsXLkSkZGRsLGxQUpKCsLDwzF48GB07txZ7eNDHfr6+vDx8cGsWbPg4uKCnj17onLlynj8+DHOnj0La2trLFy4MMt5HRwcoKuri/Hjx2PQoEFISkrCvn37UKVKlUxnW5o2bYrdu3dj8+bNqFu3LipXrpzl/Vi6urqYMWMG5syZg2HDhsHJyUl4jIiJiUm+ntA/f/58vH79Gl999RWMjY3x+PFj7Nq1C02aNMn17S9169aFkZERHjx4oPIjkpYtWwqXI/PyA4a89l9dXl5eGDduHIYMGYL+/fvj1atX2LVrFxo1aqTy6J9WrVrh66+/xvfff4/o6Ghh2z18+BAnTpzAvHnz0L1792yXo862HjBgABYtWoTJkyfD3t4et2/fRlhYWJ6uXDRt2hTHjh3DypUrYWFhgXLlyuX5WXAMcEQaoKOjgy1btmDTpk04duwYgoKCYGJiglmzZmHUqFGZpm/ZsiUsLS3x3Xff4fHjx2jYsCFWrlwphK+c/PHHHzh48KDw+datW8LNvtWrVxfa6NGjB86ePYtz587h/fv3MDIywoABAzBp0qQcn2GlLl1dXfj7+2Px4sXYuHEjjIyMMGLECFSoUCHbd7HmV8OGDXHgwAH4+/vj4MGDePXqFSpXrgxzc3N4eHjku90BAwagSpUqCAwMxObNm1GqVCk0aNAgX//YqlPn+PHjkZKSgsOHD+PYsWMwNzfH999/j3Xr1qm0p6uri1WrVuHbb7+Fj48P0tPTsXLlStSuXRtt27aFt7c3tm3bhhUrVqBZs2YICAhQK3ja2dlhz5492Lx5M3bt2oXk5GQYGRmhefPm+Prrr3OcVyqVYuvWrdiyZQuOHDmCP/74A4aGhrC2thbOEql7fKjL2dkZ1apVQ2BgIH788UekpqbC2NgYtra2Ob76qUGDBti0aRM2bNiA1atXo2rVqhg8eDAqV66c6dl0Hh4eePz4sfAqu1atWmUbYFxcXFC2bFls3boVa9euRbly5dC5c2fMnDkzX6+x6927N/bu3Ytff/0Vb968gZGREXr06IHJkyfn6S0aNjY2OHHihMqzA5s2bQo9PT2kp6cLv/jOiTr9V0e7du2wceNGbNiwAevWrUOdOnWwcuVKnD59GhcvXlSZdsmSJWjWrBl+++03rF+/HlKpFCYmJujdu3euz0VUZ1sPHDgQcXFx2L9/P0JDQ2FjY4Nt27bl6e/BkCFDEB0djaCgIGzfvh0mJiZ5DnASZUHdMUhEhUImk2Ho0KHZnhUgIqKSh/fAEREREYkMAxwRERGRyDDAEREREYkM74EjIiIiEhmegSMiIiISGQY4IiIiIpHhc+CItJhCoUB6ejp0dHQK5dU2RETaQKlUQqFQoFSpUnl6Vl5xwABHpMXS09MRFRWl6TKIiETBwsICpUuX1nQZecIAR6TFMr5JWlhYFNg7UzVBLpcjKipK9P3ICfuoPUpCP7Wtjxn9EcvZN4ABjkirZVw2lUqlWvFHVlv6kRP2UXuUhH5qWx/FdKuJeKImEREREQFggCMiIiISHQY4IiIiIpFhgCMiIiISGQY4IiIiIpFhgCMiIiISGQY4IiIiIpFhgCMiIiISGQY4IiIqMrq6upouoUjo6elpuoRCVxL6WJzxTQxERFRkzM2batWT+7MilUphbm6u6TIKVXHto0KhhI6OeN6m8CUY4IiIqMiUKiXF2l+uIO7pW02XQlqmlrEBZgy10XQZRYYBjoiIilTc07eIiX+t6TKIRI33wBERERGJDAMcERERkcgwwBERERGJDAOciLm5uWH58uVFukw/Pz/06dMn1+kcHR2xffv2Qq8nKCgItra2hb4cIiKi4oQ/YhAxPz8/lCpVtJtw1KhRGDZsWK7T7d+/X5TPCHJzc0Pjxo0xb968PM+zbNkyXL16FXfv3oWpqSl+//13lfERERHYvn07oqKi8O7dO9StWxfu7u7o3bt3QZdPREQlBAOciBkaGhb5MsuXL4/y5ctnOz41NRWlS5dG5cqVi7Aqzevfvz9u3LiBO3fuZBp37do1yGQyjBkzBlWrVsVff/2F2bNnw8DAAB07dtRAtUREJHa8hCpin15CdXR0REBAAObMmQMrKyt06NABe/bsUZk+MjISffv2hYWFBVxcXHDq1CnIZDJER0cDyPpyZEhICGQymfD580uo3t7emDhxIrZs2YI2bdqge/fuQj2fXkJ98+YN5s2bh6+++grW1tYYPnw4bt++LYy/ffs23NzcYGVlBWtra7i4uCAqKkrtdRIbG4sJEybA3t4eVlZW6N+/P86fP68yzS+//IKuXbvCwsIC9vb2mDJlitCXixcvYseOHZDJZJDJZIiLi8t1mfPnz8fQoUNRu3btLMePHz8enp6esLa2Rp06dTBixAi0bdsWf/zxhzBNxnoMCAiAvb09bG1t4e/vj/T0dKxevRqtWrVCu3btcODAAbXXCRERaR+egdMi27Ztw5QpUzB+/HicPHkSPj4+aNmyJRo0aICkpCSMGzcO9vb2WLNmDeLi4grs/rnw8HDo6+tj27Zt2U4zdepUlClTBlu3boWBgQH27NmDESNG4OTJkzA0NMSMGTPQpEkT+Pj4QCqVIjo6Ol+v3ElOTkb79u0xbdo0lC5dGsHBwRg/fjxOnDiBmjVrIioqCsuXL4evry+srKzw+vVrXL58GQAwb948PHz4EI0aNRJCXWGdSXz79i1MTU1Vhl24cAHVq1fHrl27cPXqVcybNw/Xrl1Dy5YtsXfvXhw7dgyLFi2Cg4MDqlevXih1ERGRODDAaZF27dph6NChAIAxY8Zg+/btiIiIQIMGDXDkyBEoFAqsWLECZcqUQaNGjfDkyRP4+Ph88XLLlSuHZcuWoXTp0lmOv3z5MiIjIxEeHi5MM3v2bISEhODkyZP4+uuv8fjxY7i7uwuhpl69evmqpXHjxmjcuLHw2dPTEyEhIfjzzz8xbNgw/Pfff9DT00OHDh2gr68PExMT4XUwBgYG0NXVRdmyZWFkZJSv5efFsWPHEBUVhSVLlqgMNzQ0xPz586Gjo4MGDRrghx9+wPv37zF+/HgAwLhx47B161ZcuXIFTk5Oai1TLpcXWP2akFG/2PuRk5LQR4VCofWv0SLNy88xJMbjjgFOi3x6qVMikaBq1apISEgAAMTExEAmk6FMmTLCNFZWVgWyXDMzs2zDGwDcuXMHycnJsLOzUxn+/v17xMbGAgBGjhyJ+fPn4/fff4e9vT26d++OOnXqqF1LUlIS/P39cebMGTx//hxyuRzv37/H48ePAQD29vaoWbMmOnfujLZt26Jt27bo0qVLkf3g4sKFC5g7dy6WLVuGRo0aqYxr2LAhdHT+766GqlWrqkwjlUphaGgobFN15OdydHGkLf3IiTb3UU9Pr1i+P5O0y507d5CSkqLpMgodA5wW+fwXqRKJBEqlMs/z6+joZJo+LS0t1/lyCz9JSUkwMjLCzp07M40zMDAAAEyePBm9evXC2bNn8ffff2PTpk1Yv349unTpkuf6AWD16tU4f/48Zs+ejTp16qBs2bKYMmWK0A99fX0cPHgQFy9eRFhYGDZt2gR/f3/s378fFSpUUGtZ6rp48SImTJiAOXPmoG/fvpnGZ7X9shqmUCjUXraFhYWoz3zI5XJERUWJvh85KQl9zM++S6SuT09m5FXG8ScmDHAlRMbjLT58+CCchbt+/brKNJUqVUJSUhKSk5NRrlw5AFD5oUF+NW3aFC9evIBUKkWtWrWyna5+/fqoX78+vvnmG3h5eeHAgQNqB7hr166hX79+wnxJSUmIj49XmaZUqVKwt7eHvb09Jk2ahJYtW+LChQvo2rUrdHV1C+UfmYiICIwfPx4zZszA119/XeDt50YqlWpFKNCWfuSkJPSRqDCVlOOHv0ItIXr16gWJRIL58+fjn3/+wdmzZ/HTTz+pTNOiRQvo6enh22+/RWxsLA4fPoygoKAvXra9vT0sLS3h4eGBsLAwxMXF4erVq1i/fj2ioqLw/v17LFmyBBEREYiPj8eVK1cQFRWV6Sb/vKhbty5OnTqF6Oho3L59G9OnT1cJZH/99Rd27NiB6OhoxMfHIzg4GAqFAvXr1wcAmJiY4MaNG4iLi0NiYmKewty///6L6OhoPH/+HO/fv0d0dDSio6ORmpoK4ONl03HjxsHNzQ1du3bF8+fP8fz5c7x69Urt/hEREQE8A1dilC9fHgEBAVi0aBH69u2Lhg0bYsaMGZg8ebIwjaGhIdasWQNfX1/s27cPrVu3xuTJk7FgwYIvWrZEIkFgYCA2bNiAOXPm4OXLl6hatSpsbW1RtWpV6Ojo4NWrV5g9ezZevHiBSpUqoWvXrsIvQdXh7e2NuXPnYtCgQahUqRLGjBmDpKQkYbyBgQFOnToFf39/fPjwAXXr1sW6deuEe81GjRoFb29vODk54f379zh9+nSOZw2Bj48RuXjxovA54/JoxrzBwcFISUnB999/j++//16YrlWrVlleViYiIsqNRKnOTVKkVeLi4tCpUycEBwejSZMmmi6HCoFcLsf169dhaWkp6ssK2tKPnJSUPkqlUnh+ewYx8a81XQ5pGVOTitjg1SFf84rx+OMlVCIiIiKR4SVUKtZGjx6NK1euZDlu3LhxwjPSCsvChQtx+PDhLMc5OztnepYbERFRUWCAK8Fq1aqV5bs7i5Ply5fj/fv3WY6rWLFioS9/6tSpcHd3z3Kcvr5+oS+fiIgoKwxwVKwZGxtrdPlVqlRBlSpVNFoDERHR53gPHBEREZHI8AwcEREVqVrGBpougbRQSduvGOCIiKjIpKfLMWOojabLIC2lUCihoyPRdBlFgpdQiYioyNy6dRNyuVzTZRQquVyOW7duaXU/i2sfS0p4AxjgiIioCKWlpWm6hCKRkpKi6RIKXUnoY3HGAEdEREQkMgxwRERERCLDAEdEREQkMgxwRERERCLDAEdEREQkMgxwRERERCLDAEdEREQkMgxwRERERCLDAEdEREQkMgxwRERERCLDAEdEREQkMgxwRERERCLDAEdEREQkMgxwRERERCLDAEdEREQkMgxwRERERCLDAEdEREQkMgxwRERERCLDAEdEREQkMgxwRERUZHR1dTVdQpHQ09PTdAmFriT0sTgrpekCiIio5DA3bwqpVKrpMgqVVCqFubm5pssoVMW1jwqFEjo6Ek2XUSQY4IiIqMiUKiXF2l+uIO7pW02XQlqmlrEBZgy10XQZRYYBjoiIilTc07eIiX+t6TKIRI33wBERERGJDAMcERERkcgwwBERERGJDAMcERERkcgwwBHlk5ubG5YvX67pMoiIqARigCPSoNTUVE2XQEREIsQAR5QP3t7euHjxInbs2AGZTAaZTIa4uDjcvXsXo0ePhpWVFezt7TFz5kwkJiYK87m5uWHJkiVYvnw57Ozs4O7ujoiICMhkMoSGhqJv375o3rw5hg8fjoSEBJw9exY9evSAtbU1pk+fjpSUFA32moiIigsGOKJ8mDdvHqysrDBw4ECEhYUhLCwM5cuXx4gRI2Bubo79+/fjhx9+QEJCAjw9PVXmPXjwIHR1dbF7924sXrxYGO7v748FCxbgt99+w5MnT+Dp6YkdO3Zg3bp1CAwMRFhYGHbu3FnEPSUiouKID/IlygcDAwPo6uqibNmyMDIyAgBs3rwZ5ubm8PLyEqZbsWIF2rdvjwcPHqB+/foAgHr16mHWrFnCNM+fPwcAeHp6wsbm41PEXV1dsW7dOoSEhKB27doAgG7duiEiIgJjx45Vu165XJ6/jhYTGfWLvR85KQl9VCgUWv8aLdK8/BxDYjzuGOCICsjt27cREREBKyurTONiY2OFANe0adMs55fJZML/V6lSBXp6ekJ4A4CqVasiKioqX7Xld77iRlv6kRNt7qOenl6xfH8maZc7d+6UiNtNGOCICkhycjI6duyIGTNmZBqXcZYO+PiPWFZKlfq/w1Eikah8zhimUCjyVZuFhYWoz3zI5XJERUWJvh85KQl9zO/+S6SOT78M51XG8ScmDHBE+aSrq6vyD1LTpk1x8uRJmJiYZApfmiaVSrUiFGhLP3JSEvpIVJhKyvHDHzEQ5ZOJiQlu3LiBuLg4JCYmYsiQIXj9+jW8vLwQGRmJ2NhYhIaGYs6cOaK8v4KIiIovBjiifBo1ahSkUimcnJzQunVrpKWlYffu3VAoFHB3d4ezszNWrFgBAwMD6OjwUCMiooIjUSqVSk0XQUSFQy6X4/r167C0tBT1ZQVt6UdOSkofpVIpPL89g5j415ouh7SMqUlFbPDqkK95xXj88bQAERERkcgwwBERERGJDAMcERERkcgwwBERERGJDAMcERERkcgUr6eNEhGR1qtlbKDpEkgLlbT9igGOiIiKTHq6HDOG2mi6DNJSCoUSOjoSTZdRJHgJlYiIisytWze1/s0kcrkct27d0up+Ftc+lpTwBjDAERFREUpLS9N0CUUiJSVF0yUUupLQx+KMAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIioyOjq6mq6hCKhp6en6RIKXUnoY3FWStMFEBFRyWFu3hRSqVTTZRQqqVQKc3NzTZdRqPLTR4VCCR0dSSFVVPIwwBERUZEpVUqKtb9cQdzTt5ouhYpQLWMDzBhqo+kytAoDHBERFam4p28RE/9a02UQiRrvgSMiIiISGQY4IiIiIpFhgCMiIiISGQY4KhRubm5Yvny5pssgIiLSSgxwRCLg6OiI7du3a7oMIiIqJhjgiIiIiESGAY4K3evXrzFr1iy0bNkSLVq0wOjRo/Hw4UNh/MuXL+Hl5YW2bduiRYsWcHZ2xpEjR1TacHNzw7Jly+Dr64tWrVrBwcEBfn5+ea5h27ZtcHZ2hqWlJdq3bw8fHx8kJSUJ44OCgmBra4u//voL3bp1Q4sWLTBlyhSkpKTg4MGDcHR0RMuWLbFs2TLI5fI8983Pzw99+vRRqWX79u1wdHQUPnt7e2PixIn48ccf0aZNG9jZ2WHx4sVIS0sT+h4fH4+VK1dCJpNBJpPlud9ERKSdGOCo0Hl7e+N///sftmzZgj179kCpVGLs2LFCQElNTUXTpk0RGBiII0eOYODAgZg1axYiIyNV2jl48CDKlSuHvXv3YubMmfjuu+9w7ty5PNUgkUgwb948HDlyBKtWrcKFCxewZs0alWnev3+PnTt3Yv369fjhhx8QERGBSZMm4ezZswgMDISvry9+++03nDx5Ms99y6uIiAjExsbi559/xqpVq3Dw4EEcPHgQwMcQWL16dUyZMgVhYWEICwtTq20iItI+fJAvFaqHDx/izz//xO7du2FtbQ0AWLt2LTp06ICQkBD06NEDxsbGcHd3F+Zxc3NDWFgYjh8/jubNmwvDZTIZJk2aBACoV68edu3ahfDwcDg4OORaxzfffCP8f61ateDp6YlFixbBx8dHGJ6WlgYfHx/UqVMHANCtWzccOnQI586dQ/ny5dGwYUPY2dnhwoUL6NmzZ576llcVK1bEwoULIZVKYWpqivbt2yM8PBwDBw6EoaEhpFIpypcvDyMjozy3+alPzxqKUUb9Yu9HTkpCHxUKhda/RotyVlz37+JaV04Y4KhQxcTEoFSpUmjRooUwrFKlSqhfvz5iYmIAfDxwAgICcOLECTx9+hRpaWlITU1F2bJlVdr6/NKhkZEREhIS8lTH+fPn8f333+P+/ft49+4d5HI5Pnz4gJSUFOGFzHp6ekJ4A4CqVavCxMQE5cuXVxmWmJiY577lVcOGDVX+YTMyMsLdu3fVaiMnUVFRBdaWJmlLP3KizX3U09PT+neEUs7u3LmDlJQUTZehFRjgSON+/PFH7NixA3PnzoVMJoOenh5WrFiR6TJkqVKqu6tEIoFSqcy1/bi4OIwbNw6DBw/GtGnTULFiRVy5cgXz5s1DWlqaEOCyaj+rYQqFIs99y6rG9PT0TNPlt295ZWFhIeozH3K5HFFRUaLvR05KQh/VOXZIOxXXe3gzjj8xYYCjQmVqaor09HTcuHFDuMz48uVLPHjwAA0bNgQAXL16FZ06dRJu9lcoFHj48CFMTU0LpIabN29CqVTC29sbOjofb/s8fvz4F7ebl75VrlwZL168gFKphEQiAQBER0ervSxdXd0v+sdPKpVqRSjQln7kpCT0kUou7tsFhz9ioEJVr149dOrUCQsWLMDly5dx+/ZtzJw5E8bGxujUqRMAoG7dujh//jyuXr2KmJgYLFy4EC9evCiwGurWrYu0tDTs3LkTjx49QnBwMH777bcvbjcvfbOzs0NiYiK2bt2K2NhY/PLLLwgNDVV7WSYmJrh06RKePn0qXMIlIqKSiwGOCt3KlSvRtGlTjB8/Hl9//TWUSiUCAwOhq6sLAJgwYQLMzc3h7u4ONzc3VK1aFZ07dy6w5Tdu3Bhz5szB1q1b0atXLxw+fBheXl4F0nZufTM1NcWiRYvw66+/ok+fPoiMjMSoUaPUXs6UKVMQHx+Pzp07o3Xr1gVSOxERiZdEWZA32hBRsSKXy3H9+nVYWlqK+tKFtvQjJyWlj1KpFJ7fnkFM/GtNl0NFyNSkIjZ4ddB0GdkS4/HHM3BEREREIsMfMZDoHTp0CIsWLcpyXM2aNXH06NEiroiIiKhwMcCR6Dk6Oqo8i+1Tnz+eg4iISBvwXzcSPX19fejr62u6DCIioiLDAEdEREWqlrGBpkugIsZtXvAY4IiIqMikp8sxY6iNpssgDVAolNDRkWi6DK3BX6ESEVGRuXXrpihfHK4OuVyOW7duaXU/89NHhreCxQBHRERF5vN3HGurkvDC9pLQx+KMAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IqJjQ09PTdAmFTldXV9MlEGmFUpougIhImygUSujoSNSeTyqVwtzcvBAqKj4+9rGppssg0goMcEREBUhHR4K1v1xB3NO3mi6l2KllbIAZQ20gl8s1XQqR6DHAEREVsLinbxET/1rTZRCRFuM9cEREREQiwwBHREREJDIMcEREREQiwwBHRcrNzQ3Lly8vsuVFRERAJpPhzZs3X9ROUddNRESUE/6IgYqUn58fSpXibkdERPQl+C8pqUWpVEIul2cKYampqShdunSu8xsaGhZSZURERCVHibyE6ubmhmXLlsHX1xetWrWCg4MD/Pz8AABxcXGQyWSIjo4Wpn/z5g1kMhkiIiIA/N9ludDQUPTt2xfNmzfH8OHDkZCQgLNnz6JHjx6wtrbG9OnTkZKSkqeaFAoFtm7dii5duqBZs2bo0KEDtmzZIox/8uQJvLy80KpVK1haWsLFxQU3btzIU9t//vkn+vfvDwsLC9jZ2cHDw0MYFxwcDBcXF1hZWcHBwQHTp09HQkKCMD6jr2fPnoWLiwssLCxw5coVuLm5YcmSJVi+fDns7Ozg7u6OOXPmYNy4cSrLTktLQ+vWrbFv3z5h3X96KdLR0REBAQGYM2cOrKys0KFDB+zZs0eljatXr6JPnz6wsLCAi4sLQkJCMm2j3Fy9ehXOzs6wsLDAwIEDcffuXWHcy5cv4eXlhbZt26JFixZwdnbGkSNHcmwvr+stPDwcLi4uaNGiBQYNGoT79++rtJPTtklNTcXq1avRtm1bWFpaYsCAAcI+SEREJVuJDHAAcPDgQZQrVw579+7FzJkz8d133+HcuXNqteHv748FCxbgt99+w5MnT+Dp6YkdO3Zg3bp1CAwMRFhYGHbu3JmnttatW4etW7di4sSJOHbsGNauXYuqVasCAJKSkjBs2DA8ffoUmzdvxu+//47Ro0dDoVDk2u6ZM2cwadIktG/fHsHBwfj555/RvHlzYXx6ejqmTp2KQ4cO4bvvvkN8fDy8vb2zrG/69Ok4duwYZDIZgI/rUFdXF7t378bixYsxYMAAhIaG4tmzZyrLf//+PXr27Jltjdu2bUOzZs0QHByMIUOGwMfHRwg67969w4QJE2BmZoaDBw9i6tSpWLNmTZ7W6ad8fX3h7e2N/fv3o3Llyhg/fjzS0tIAfAxKTZs2RWBgII4cOYKBAwdi1qxZiIyMzLa9vK639evXw9vbGwcOHIBUKsXcuXNV1k1O22bJkiW4du0a1q9fj0OHDqF79+4YPXo0Hj58qHb/iYhIu5TYS6gymQyTJk0CANSrVw+7du1CeHg46tatm+c2PD09YWNjAwBwdXXFunXrEBISgtq1awMAunXrhoiICIwdOzbHdt69e4cdO3Zg4cKF6NevHwCgTp06sLW1BQAcOXIEiYmJ2L9/v3AJMq91BgQEoGfPnpgyZYowrHHjxsL/u7q6Cv9fu3ZtzJs3D66urkhKSkL58uWFcVOmTIGDg4NK2/Xq1cOsWbNUhtWvXx+///47xowZAwA4cOAAunfvrtLW59q1a4ehQ4cCAMaMGYPt27cjIiICDRo0wOHDhwEAy5YtQ5kyZdCwYUM8e/YM8+fPz1P/M0yaNEmof9WqVWjfvj1OnTqFnj17wtjYGO7u7sK0bm5uCAsLw/Hjx1UC1afyut6mTZuGVq1aAQDGjh2LsWPH4sOHDyhTpkyO2+bx48cICgrCX3/9BWNjYwCAu7s7QkNDERQUBC8vL7X6L/Yn32fUL4Z+SKVSTZdQ7OXly6eYiWl/zS9t66MY+1GiA9ynjIyMVC6BqdtGlSpVoKenJ4Q3AKhatSqioqJybef+/ftITU3FV199leX46OhomJub5+v+sejoaAwYMCDb8f/73//g7++P27dv4/Xr11AqlQCA//77Dw0bNhSms7CwyDRv06aZ32k4YMAA7NmzB2PGjMGLFy8QGhqKn3/+OccaP12PEokEVatWFbbFgwcPIJPJUKZMmRxryY2lpaXw/4aGhqhfv75wlk8ulyMgIAAnTpzA06dPkZaWhtTUVJQtWzbb9vK63j7tm5GREQAgISEBNWvWzHHb3L17F3K5HN27d1cZnpqamq/9IC/7oRgU937o6elp/ftMC8K9e/fyfHuJmBX3/bUglIQ+FlclNsB9fhO+RCKBUqmEjs7Hq8oZ/yADHy+X5daGRCLJss28fNP8NJxkJacgkZuc5k1OToa7uzvatGmDtWvXolKlSvjvv//g7u4uXF7MoKenl2n+rIb16dMHa9euxbVr13Dt2jXUqlVLOJOYney2RVH58ccfsWPHDsydOxcymQx6enpYsWJFpnWQQZ319vk+Avzf2Yfcto1UKhUuvX6qXLlyavfRwsJC1GeG5HI5oqKiRN8P+qhRo0bC31ptVBL2V23rY0Z/xKTEBrjsVK5cGQDw/PlzYZg6N8vnR7169VC2bFlcuHBB5QxeBplMhn379uHVq1dqn30xMzNDeHg4+vfvn2nc/fv38erVK8yYMQM1atQA8PHM0peoVKkSOnfujKCgIFy/fh0uLi5f1F79+vVx6NAhlV+55ucgu379OmrWrAkAeP36NR4+fIgGDRoA+PgDh06dOqFPnz4APgashw8fwtTUNMu2Cmq95bRtmjRpArlcjsTExFwDcF5IpVKt+COrLf0o6XR0dErEdiwJ+2tJ6GNxpb1fgfKpbNmysLS0RGBgIGJiYnDx4kVs2LChUJdZpkwZjBkzBmvWrEFwcDBiY2Nx/fp14ZebTk5OqFq1Kjw8PHDlyhU8evQIJ0+exLVr13Jte9KkSTh69Cg2bdqEmJgY3LlzB4GBgQCAmjVrQldXFzt37sSjR49w+vRpbN68+Yv7M2DAABw8eBAxMTHo27fvF7Xl7OwMpVKJBQsWICYmBqGhofjpp58A/N8ZrbzYvHkzwsPDcffuXXh7ewtBE/h4P+H58+dx9epVxMTEYOHChXjx4kW2bRXUestp29SvXx/Ozs6YNWsW/vjjDzx69AiRkZH4/vvvcebMGbWXRURE2oUBLgsrVqyAXC6Hi4sLVqxYAU9Pz0Jf5sSJEzFy5Ehs2rQJPXv2xLRp05CYmAgAKF26NH766SdUqVIFY8eOhbOzMwIDA/P0rcfOzg4bN27En3/+iT59+mDEiBHCGazKlStj1apVOHHiBHr27ImtW7di9uzZX9wXe3t7VKtWDW3atBFuwM8vfX19bNmyBdHR0ejTpw/Wr18vPGojL8+dyzB9+nQsX74cLi4uePHiBbZs2SLMP2HCBJibm8Pd3R1ubm6oWrWqEO6yUlDrLadtAwArV65E3759sWrVKvTo0QMTJ05EVFSUcNaPiIhKLomyKG82ohIhKSkJ7dq1w8qVK9G1a9cCb//QoUOYO3cuLl++/EX3B5YEcrkc169fh6Wlpagvc4itH57fnkFM/GtNl1HsmJpUxAavDpDL5aLYjvkltv01P7Stj2LsD++BowKjUCjw8uVL/PTTT6hQoQIcHR0LpN3g4GDUqlULxsbGuHPnDtauXYvu3bszvBERUYnFAFcEHj9+DCcnp2zHHz16VLjBXl1OTk54/PhxluMWL16M3r1756vd/Hj8+DE6deqE6tWrY9WqVQX2ztPnz59j06ZNeP78OYyMjNC9e3dMmzYNALBw4ULhWXGfc3Z2xpIlSwqkBiIiouKEAa4IVKtWDcHBwTmOz6/AwMBsH3NSpUqVfLebH7Vq1cKdO3cKvN0xY8YIDwb+3NSpU1UewvspfX39Aq+FiIioOGCAKwKlSpVS6w0P6jAxMSmUdsWiSpUqRR5UiYiINI0BjoiogNUyNtB0CcUS1wtRwWGAIyIqQAqFEjOG2mi6jGIrPV0ONR7hSETZ4HPgiIgKkI5O/tKJXC7HrVu3RPlS7bz62Mebmi6DSCswwBERFRMl4QXv2b1jmIjUwwBHREREJDIMcEREREQiwwBHREREJDIMcEREREQiwwBHREREJDIMcEREREQiwwBHREREJDIMcEREREQiwwBHREREJDIMcEREREQiwwBHREREJDIMcEREREQiwwBHREREJDIMcEREREQiwwBHREREJDIMcEREREQiwwBHREREJDIMcEREREQiwwBHREREJDIMcEREREQiwwBHRFRM6OnpabqEQqerq6vpEoi0QilNF0BEVFwpFEro6EiKZFlSqRTm5uZFsixN+djHppoug0grMMAREWVDR0eCtb9cQdzTt5ouRSvUMjbAjKE2kMvlmi6FSPQY4IiIchD39C1i4l9rugwiIhW8B46IiIhIZBjgiIiIiESGAY6IiIhIZBjgtICfnx/69OlTYpZb1OLi4iCTyRAdHZ3rtBEREZDJZHjz5k0RVEZERCUVA5zIyGQyhISEaLoMAMCoUaOwfft2TZchePfuHZYvX46OHTuiefPmGDRoECIjI1WmUSqV2LhxI9q0aYPmzZvjm2++wcOHDzVT8P/n5uaG5cuXa7QGIiISFwY4yrfy5cujUqVKmi5DMH/+fJw/fx6+vr44fPgwHBwcMHLkSDx9+lSYZuvWrdi5cyd8fHywd+9e6Onpwd3dHR8+fNBg5UREROphgMsnNzc3LF26FMuXL0fLli1hb2+PvXv3Ijk5GXPmzIGVlRW6dOmCs2fPCvNcvHgRrq6uaNasGdq0aYO1a9ciPT1dpc1ly5bB19cXrVq1goODA/z8/ITxjo6OAAAPDw/IZDLhc4bg4GA4OjrCxsYG06ZNw7t374RxJ06cgLOzM5o3bw47Ozt88803SE5OzrWfERERcHV1haWlJWxtbTFo0CDEx8cDyHwJ1dvbGxMnTsSPP/6INm3awM7ODosXL0ZaWpowTWpqKtasWYP27dujWbNm6NKlC/bt2yeMv3v3LkaPHg0rKyvY29tj5syZSExMzLXO9+/f448//sDMmTPRsmVL1K1bF5MnT0bdunXx66+/Avh49m3Hjh2YMGECOnfujMaNG8PX1xfPnj1TOasZGRmJvn37wsLCAi4uLnm6dJqdly9fwsvLC23btkWLFi3g7OyMI0eOqKyzixcvYseOHZDJZJDJZIiLi/uidUFERNqPAe4LHDx4EJUqVcK+ffswbNgw+Pj4YOrUqbCyssLBgwfh4OCAWbNmISUlBU+fPsXYsWNhYWGB33//HT4+Pti/fz+2bNmSqc1y5cph7969mDlzJr777jucO3cOALB//34AwMqVKxEWFiZ8BoDY2FicPn0aAQEB+P7773Hp0iVs3boVAPDs2TNMnz4d/fv3x7Fjx7Bjxw506dIFSqUyx/6lp6fDw8MDLVu2xKFDh7Bnzx58/fXXkEiyfzJ9REQEYmNj8fPPP2PVqlU4ePAgDh48KIyfNWsWjh49ivnz5+P48eNYsmQJypcvDwB48+YNRowYAXNzc+zfvx8//PADEhIS4Onpmeu2SE9Ph1wuR5kyZVSGlylTBlevXgXw8V6258+fw97eXhhvYGCAFi1a4Nq1awCApKQkjBs3DqampggKCsLkyZOxevXqXJefndTUVDRt2hSBgYE4cuQIBg4ciFmzZgmXdufNmwcrKysMHDgQYWFhCAsLQ40aNb5oXRARkfbjg3y/QOPGjTFx4kQAwLhx47B161ZUqlQJAwcOBPDxTNnu3btx584d/PXXX6hevToWLlwIiUQCU1NTPH36FGvXroWHhwd0dD5maZlMhkmTJgEA6tWrh127diE8PBwODg6oXLkyAKBChQowMjJSqUWpVGLlypXQ19cHAPTu3Rvh4eGYNm0anj9/jvT0dHTp0gUmJibCcnLz7t07vH37Fh07dkSdOnUAAKampjnOU7FiRSxcuBBSqRSmpqZo3749wsPDMXDgQDx48ADHjx/Htm3bhBBVu3ZtYd5du3bB3NwcXl5ewrAVK1agffv2ePDgAerXr5/tcvX19WFlZYXNmzejQYMGqFq1Ko4cOYLr168LtT9//hwAUKVKFZV5q1SpghcvXgAAjhw5AoVCgRUrVqBMmTJo1KgRnjx5Ah8fn1zXV1aMjY3h7u4ufHZzc0NYWBiOHz+O5s2bw8DAALq6uihbtqzKNv2SdZEVsT/5PqP+ou6HVCot0uWVFAqFQtMlFCpN7a9FSdv6KMZ+MMB9gU9DkFQqhaGhIczMzIRhVatWBQAkJCQgJiYGVlZWKmevbGxskJycjCdPnqBmzZqZ2gQAIyMjJCQk5FqLiYmJEN4AoFq1asJ8jRs3RuvWreHs7Iw2bdqgTZs26NatGypWrJhjm4aGhnBxcYG7uzscHBzQunVr9OjRA9WqVct2noYNG6r8o2dkZIS7d+8CAKKjoyGVStGyZcss5719+zYiIiJgZWWVaVxsbGyuocXX1xdz585Fu3bthPdKOjk54ebNmznO96mYmBjIZDKVM3lZ1ZNXcrkcAQEBOHHiBJ4+fYq0tDSkpqaibNmyOc73pevic1FRUWpNX1wVZT/09PS0/t2kmnLv3j2kpKRouoxCpy3HXU5KQh+LKwa4L1CqlOrqk0gkKsMywlpulypzazMv838+36fLlUql2LZtG65evYpz585h586dWL9+Pfbu3atyBiwrK1euhJubG0JDQ3H8+HFs2LAB27Ztg6Wlpdr15xZakpOT0bFjR8yYMSPTuM/POGalTp062LVrF5KTk/Hu3TtUq1YNnp6eQh8z2khISFAJoQkJCWjcuHGu7efHjz/+iB07dmDu3LmQyWTQ09PDihUrVO4LzMqXrovPWVhYiPpsklwuR1RUlOj7QR81atRIuOqgjUrC/qptfczoj5gwwBURU1NTnDx5EkqlUgh2V65cQfny5VG9evU8t6Orq5uvU70SiQQ2NjawsbGBh4cHOnbsiJCQEIwcOTLXec3NzWFubo5x48bh66+/xpEjR7INcDkxMzODQqHApUuXVO5Dy9C0aVOcPHkSJiYmWQbSvCpXrhzKlSuH169fIywsDDNnzgQA1KpVC0ZGRggPD0eTJk0AfLxMfOPGDQwePBjAx+30+++/48OHD8JZuOvXr+e7lqtXr6JTp07Cjz0UCgUePnyocilaV1c30yWlgloXGaRSqVb8kdWWfpR0Ojo6JWI7loT9tST0sbjS3q9AxcyQIUPw5MkTLF26FDExMQgJCYGfnx9Gjhyp1jdRExMThIeH4/nz53j9Om8v2L5x4wYCAgIQFRWFx48f448//kBiYiIaNGiQ43yPHj3CunXrcO3aNcTHxyMsLAwPHz7Mdb7s1KpVC/369cPcuXMREhKCR48eISIiAseOHQPwcR29fv0aXl5eiIyMRGxsLEJDQzFnzpw8hdbQ0FD8/fffePToEc6dO4fhw4ejQYMGcHFxAfAxxA4fPhxbtmzB6dOncefOHcyaNQvVqlVD586dAQC9evWCRCLB/Pnz8c8//+Ds2bP46aef8tVfAKhbty7Onz+Pq1evIiYmBgsXLhTut8tgYmKCGzduIC4uDomJiVAoFF+8LoiISLvxDFwRMTY2RmBgIHx9fbF3714YGhrC1dUVEyZMUKud2bNnY9WqVdi3bx+MjY3x559/5jqPvr4+Ll26hJ9//hnv3r1DzZo14e3tjfbt2+c4n56eHu7fv4+DBw/i1atXqFatGoYOHYpBgwapVfOnfHx88O2338LHxwevXr1CzZo1MW7cOAAf19Hu3buxdu1auLu7IzU1FTVr1kTbtm3zFHLfvn2Lb7/9Fk+ePIGhoSG6du2KadOmQVdXV5hmzJgxSElJwcKFC/HmzRvY2Njghx9+EM62lS9fHgEBAVi0aBH69u2Lhg0bYsaMGZg8eXK++jthwgQ8evQI7u7u0NPTw8CBA9G5c2e8fftWmGbUqFHw9vaGk5MT3r9/j9OnT6NWrVpftC6IiEi7SZTq3KBFRKIil8tx/fp1WFpaivoyhyb74fntGcTE5+1sN+XM1KQiNnh1gFwuF/X+mBttOe5yom19FGN/+FWeiIiISGR4CbWEy+kRGVu3boWtrW0RVpO9x48fw8nJKdvxR48eFR7FUpgWLlyIw4cPZznO2dkZS5YsKfQaiIiIGOBKuODg4GzHGRsbF10huahWrVqOteb0bLqCNHXqVJUH837q0+fwERERFSYGuBKubt26mi4hT0qVKlUsaq1SpUqmNzkQEREVNQY4IqIc1DI20HQJWoPrkqjgMMAREWVDoVBixlAbTZehVdLT5fjkjYJElE/8FSoRUTZ0dIouacjlcty6dUurH9T8sY95fzcxEWWPAY6IqJgoCS94z+09wESUNwxwRERERCLDAEdEREQkMgxwRERERCLDAEdEREQkMgxwRERERCLDAEdEREQkMgxwRERERCLDAEdEREQkMgxwRERERCLDAEdEREQkMgxwRERERCLDAEdEREQkMgxwRERERCLDAEdEREQkMgxwRERERCLDAEdEREQkMgxwRERERCLDAEdEREQkMgxwRERERCLDAEdEREQkMgxwRETFhJ6enqZLKHS6urqaLoFIK5TSdAFERMWVQqGEjo6kSJYllUphbm5eJMvSlI99bKrpMoi0AgMcEVE2dHQkWPvLFcQ9favpUrRCLWMDzBhqA7lcrulSiESPAY6IKAdxT98iJv61pssgIlLBe+CIiIiIRIYBjoiIiEhkGOCIiIiIRIYBjigPgoKCYGtrm6dp/fz80KdPn0KuiIiISjIGONIqsbGx8PDwwFdffQVra2tMnToVL168UJnm1atXmD59OqytrWFra4u5c+ciKSlJQxV/JJPJEBISotEaiIhIPBjgSDRSU1NzHJ+cnIxRo0ZBIpHg559/xu7du5GWlobx48dDoVAI082YMQP//PMPtm3bhoCAAFy+fBkLFy4s7PKJiIgKDAMcZcnNzQ3Lli2Dr68vWrVqBQcHB/j5+Qnj37x5g3nz5glnuoYPH47bt28DAB48eACZTIaYmBiVNrdv347OnTsLn+/evYvRo0fDysoK9vb2mDlzJhITE1VqWLJkCZYvXw47Ozu4u7vnWPPVq1cRHx+PVatWQSaTQSaTYfXq1fjf//6HCxcuAABiYmIQGhqKZcuWoUWLFrC1tcX8+fNx9OhRPH36VGgrKCgIHTp0QIsWLeDh4YFXr17le11GRkZi5MiRsLOzg42NDYYNG4abN28K4x0dHQEAHh4ekMlkwmcACAkJQb9+/WBhYYFOnTrB398f6enp+a6FiIi0AwMcZevgwYMoV64c9u7di5kzZ+K7777DuXPnAABTp05FQkICtm7diqCgIDRt2hQjRozAq1evUL9+fTRr1gyHDx9Wae/QoUPo1asXgI8BcMSIETA3N8f+/fvxww8/ICEhAZ6enplq0NXVxe7du7F48eIc601NTYVEIkHp0qWFYWXKlIGOjg6uXLkCALh27RoqVKgACwsLYRp7e3vo6OggMjISAHDjxg3MmzcPQ4cORXBwMOzs7LBly5b8rUQASUlJ6Nu3L3799Vfs3bsXdevWxdixY/Hu3TsAwP79+wEAK1euRFhYmPD58uXLmD17NoYPH45jx45hyZIlCAoKQkBAQL5rISIi7cAH+VK2ZDIZJk2aBACoV68edu3ahfDwcJQpUwaRkZEIDw8XwtLs2bMREhKCkydP4uuvv4azszN++eUXIZA9ePAAN2/exJo1awAAu3btgrm5Oby8vITlrVixAu3bt8eDBw9Qv359YbmzZs3KU72WlpbQ09PDmjVr4OXlBaVSiXXr1kEul+P58+cAgBcvXqBy5coq85UqVQoVK1YUptmxYwfatm2LMWPGAADq16+Pa9euITQ0ND+rEa1bt1b5vHTpUtja2uLSpUvo2LGjUE+FChVgZGQkTOfv74+xY8eiX79+AIDatWtj6tSpWLNmjbBd8krsT77PqL+o+yGVSot0eSXFp7c0aCNN7a9FSdv6KMZ+MMBRtmQymcpnIyMjJCQk4M6dO0hOToadnZ3K+Pfv3yM2NhYA4OTkBF9fX1y/fh2WlpY4fPgwmjZtClNTUwDA7du3ERERASsrq0zLjY2NFQJc06Z5f29i5cqVsXHjRvj4+GDnzp3Q0dGBk5MTmjZtCokk7++zjImJUbnUC3wMh/kNcC9evMCGDRtw8eJFJCQkQKFQICUlBY8fP85xvtu3b+Pq1asqZ9zkcjk+fPiAlJQUtV58HhUVla/ai5ui7Ieenp7Wv5tUU+7du4eUlBRNl1HotOW4y0lJ6GNxxQBH2SpVSnX3kEgkUCqVSEpKgpGREXbu3JlpHgMDAwAfw95XX32FI0eOwNLSEkeOHMHgwYOF6ZKTk9GxY0fMmDEjUxufnoVSJ6QAQJs2bRASEoLExESUKlUKFSpUgIODA3r27AkAqFq1qsp9dgCQnp6O169fqyy3IM2ePRuvXr3CvHnzULNmTZQuXRpff/010tLScpwvOTkZkydPRteuXTONK1OmjFo1WFhYiPpsklwuR1RUlOj7QR81atQIOjraewdPSdhfta2PGf0REwY4UlvTpk3x4sULSKVS1KpVK9vpnJ2dsWbNGjg5OeHRo0dCiMpo4+TJkzAxMckUFAtCxmXJ8PBwJCQkCD8MsLKywps3b/C///0PzZo1AwBcuHABCoUCzZs3BwCYmpoK98NluHHjRr5ruXr1KhYtWoT27dsDAP777z+8fPlSZRpdXd1Mp/DNzc3x4MED1K1bN9/LziCVSrXij6y29KOk09HRKRHbsSTsryWhj8WV9n4FokJjb28PS0tLeHh4ICwsDHFxcbh69SrWr1+v8g2mS5cuSEpKgo+PD+zs7GBsbCyMGzJkCF6/fg0vLy9ERkYiNjYWoaGhmDNnzhfdi3DgwAFcv34dsbGx+P333+Hp6YlvvvkGDRo0APAxnLVt2xYLFixAZGQkrly5gqVLl8LJyUmoz83NDaGhofjxxx/x8OFD7Nq1K9+XT4GP9/EdOnQIMTExuHHjBmbMmIGyZcuqTGNiYoLw8HA8f/4cr19/fHG6h4cHfv/9d/j7++PevXuIiYnB0aNHsX79+nzXQkRE2oEBjtQmkUgQGBiIli1bYs6cOejevTu8vLwQHx+PqlWrCtPp6+ujY8eOuH37NpydnVXaMDY2xu7du6FQKODu7g5nZ2esWLECBgYGX3Rp5cGDB/Dw8EDPnj2xefNmjB8/HrNnz1aZZu3atWjQoAFGjBiBsWPHwtraGkuWLBHGW1paYunSpdixYwf69OmDsLAwTJgwId81LV++HK9fv0a/fv0wa9YsuLm5oUqVKirTzJ49G+fPn0eHDh2EHy20bdsWAQEBCAsLg6urKwYOHIjt27fDxMQk37UQEZF2kCiVSqWmiyCiwiGXy4Ufkoj5Mocm++H57RnExL8u0mVqK1OTitjg1QFyuVzU+2NutOW4y4m29VGM/eEZOCIiIiKR4Y8YSDQOHTqERYsWZTmuZs2aOHr0aJHU4eTklO0jQBYvXozevXsXSR1ERFRyMcCRaDg6OqJFixZZjiuMX7JmJzAwMNvXWX1+bxsREVFhYIAj0dDX14e+vr6my+CPCIiISOMY4IiIclDL2EDTJWgNrkuigsMAR0SUDYVCiRlDbTRdhlZJT5dDjTfbEVE2+CtUIqJs6OgUXdKQy+W4deuWKF+qnVcf+3hT02UQaQUGOCKiYqIkvOA9t3cAE1HeMMARERERiQwDHBEREZHIMMARERERiQwDHBEREZHIMMARERERiQwDHBEREZHIMMARERERiQwDHBEREZHIMMARERERiQwDHBEREZHIMMARERERiQwDHBEREZHIMMARERERiQwDHBEREZHIMMARERERiQwDHBEREZHIMMARERERiQwDHBEREZHIMMARERERiQwDHBEREZHIMMARERUTenp6mi6h0Onq6mq6BCKtUErTBRARFScKhRI6OpIiX65UKoW5uXmRL7cofexjU02XQaQVGOCIiD6hoyPB2l+uIO7pW02XonVqGRtgxlAbyOVyTZdCJHoMcEREn4l7+hYx8a81XQYRUbZ4DxwRERGRyDDAEREREYkMAxwRERGRyDDAEREREYkMAxwVOzKZDCEhIZouo8h5e3tj4sSJmi6DiIhEgAGOio3U1FRNl0BERCQKDHDFjJubG5YtWwZfX1+0atUKDg4O8PPzAwDExcVBJpMhOjpamP7NmzeQyWSIiIgAAEREREAmkyE0NBR9+/ZF8+bNMXz4cCQkJODs2bPo0aMHrK2tMX36dKSkpOS5pqVLl2L58uVo2bIl7O3tsXfvXiQnJ2POnDmwsrJCly5dcPbsWZX5Ll68CFdXVzRr1gxt2rTB2rVrkZ6ertLukiVLsHz5ctjZ2cHd3R2Ojo4AAA8PD8hkMuFzTmJjYzFhwgTY29vDysoK/fv3x/nz51WmSU1NxZo1a9C+fXs0a9YMXbp0wb59+4Tx9+7dw7hx42BtbQ0rKysMGTIEsbGxAACFQgF/f3+0a9cOzZo1Q58+ffD3338L82as8zdv3gjDoqOjIZPJEBcXBwAICgqCra0tQkND0aNHD1hZWcHd3R3Pnj0DAPj5+eHgwYM4ffo0ZDKZsE1TU1OxZMkStGnTBhYWFujYsSO+//77PG03IiLSXnwOXDF08OBBjBw5Env37sX169fh7e0Na2tr1K1bN89t+Pv7Y8GCBdDT04Onpyc8PT1RunRprFu3DsnJyfDw8MDOnTsxduzYPNc0evRo7Nu3D8eOHYOPjw9OnTqFLl26YNy4cdi+fTtmzZqFM2fOQE9PD0+fPsXYsWPRr18/rF69Gg8ePMD8+fNRpkwZTJ48WaXdwYMHY/fu3QAAQ0NDtG7dGitXrkTbtm0hlUpzrS05ORnt27fHtGnTULp0aQQHB2P8+PE4ceIEatasCQCYNWsWrl+/jvnz56Nx48aIi4vDy5cvAQBPnz7FsGHD0KpVK/z888/Q19fH1atXhbC5Y8cObNu2DUuWLEGTJk1w4MABTJw4EUeOHEG9evXyvE3ev3+Pn376Cb6+vtDR0cHMmTOxevVqrFu3DqNGjUJMTAzevXuHlStXAgAqVqyInTt34s8//8SGDRtQo0YN/Pfff3jy5Emel0lERNqJAa4YkslkmDRpEgCgXr162LVrF8LDw9UKcJ6enrCxsQEAuLq6Yt26dQgJCUHt2rUBAN26dUNERESeA1zjxo2F+7PGjRuHrVu3olKlShg4cCCAj2fMdu/ejTt37sDS0hK//vorqlevjoULF0IikcDU1BRPnz7F2rVr4eHhAR0dHaF/s2bNyrS8ChUqwMjIKM+1NW7cWKXvISEh+PPPPzFs2DA8ePAAx48fx7Zt22Bvbw8AwnoAgF9++QX6+vr49ttvhfc01q9fXxj/448/YsyYMXBycgIAzJw5ExEREfj555+xaNGiPNUIAGlpaVi8eDHq1KkDABg6dCg2b94MAChfvjzKli2L1NRUlX7/999/qFu3LmxsbCCRSGBiYpLn5X1K7E++z6i/KPqRly8N9GUUCoWmSyhURbm/aoq29VGM/WCAK4ZkMpnKZyMjIyQkJOS7jSpVqkBPT08ltFStWhVRUVH5ak8qlcLQ0BBmZmYq7QEQ6oyJiYGVlRUkkv97p6SNjQ2Sk5Px5MkT4cxY06Zf/l7EpKQk+Pv748yZM3j+/Dnkcjnev3+Px48fA/h4OVMqlaJly5ZZzh8dHQ1bW9ssX7L97t07PHv2DNbW1irDra2tcfv2bbXq1NPTE8IbAFSrVi3X7dqvXz+MGjUK3bt3R9u2bdGhQwe0adNGreUCUGtbF2eF3Q89PT2tfx9pcXDv3r0838IhZtpy3OWkJPSxuGKAK4ZKlVLdLBKJBEqlUjhrpVQqhXGf3lOWXRsSiSTLNtX5FpzV/J8v4/Pa8kJPT0+t6bOyevVqnD9/HrNnz0adOnVQtmxZTJkyBWlpaQCAsmXL5jh/buNzk9V2yVj2p7Lbrjlp2rQpTp8+jb///hvnz5+Hp6cn7O3tsWnTJrVqtLCwEPWZJblcjqioKNH3gz5q1KiRcNxoo5Kwv2pbHzP6IyYMcCJSuXJlAMDz58+FYZ/+oKE4MTU1xcmTJ6FUKoVwd+XKFZQvXx7Vq1fPcV5dXV21Tmdfu3YN/fr1Q5cuXQB8PCMXHx8vjDczM4NCocClS5eES6ifkslkOHjwINLS0jKdhdPX10e1atVw9epVtGrVShh+9epVNG/eHIDqdqlYsSIAqH12DvjY76xCtb6+Pnr27ImePXuiW7duGD16NF69egVDQ8M8ty2VSrXij6y29KOk09HRKRHbsSTsryWhj8WV9n4F0kJly5aFpaUlAgMDERMTg4sXL2LDhg2aLitLQ4YMwZMnT7B06VLExMQgJCQEfn5+GDlyZK7fvE1MTBAeHo7nz5/j9evcXyhet25dnDp1CtHR0bh9+zamT5+uEoRq1aqFfv36Ye7cuQgJCcGjR48QERGBY8eOAfh4L9q7d+/g5eWFqKgoPHz4EMHBwbh//z4AwN3dHVu3bsWxY8dw//59rF27Frdv38bw4cMBAHXq1EGNGjXg5+eHhw8f4syZM/jpp5/UXmcmJia4c+cO7t+/j8TERKSlpWHbtm04cuQIYmJi8ODBA5w4cQJGRkaoUKGC2u0TEZH2YIATmRUrVkAul8PFxQUrVqyAp6enpkvKkrGxMQIDAxEZGYk+ffrAx8cHrq6umDBhQq7zzp49G+fPn0eHDh3Qr1+/XKf39vZGhQoVMGjQIIwfPx5t27bNdG+dj48PunXrBh8fH/To0QMLFiwQ7sGpVKkSfv75ZyQnJ8PNzQ0uLi7Yt2+fcDZu+PDhGDlyJFatWoXevXsjNDQUmzdvFn6Bqquri3Xr1uH+/fvo3bs3tm7dmq/tMnDgQNSvXx/9+/dH69atcfXqVZQvXx4//PADXF1d4erqivj4eAQGBmr15SciIsqdRKnuTUtEJBpyuRzXr1+HpaWlqC9zFHU/PL89g5j43M/+knpMTSpig1cHyOVyUe+PudGW4y4n2tZHMfaHX+OJiIiIRIY/YijhHj9+LDzfLCtHjx4VHvmhKU5OTsIjQT63ePFi9O7du4grIiIi0iwGuBKuWrVqCA4OznG8pgUGBmb7uJQqVaoUcTVERESaxwBXwpUqVUqtNzxoQn7fPkBERKStGOCIiD5Ty9hA0yVoJa5XooLDAEdE9AmFQokZQ200XYbWSk+X45M37BFRPvFXqEREn9DR0Uy6kMvluHXrlihfqp1XH/t4U9NlEGkFBjgiomKiJLzgPav3BBOR+hjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiKCT09PU2XUOh0dXU1XQKRViil6QKIiIoDhUIJHR2JxpYvlUphbm6useUXhY99bKrpMoi0AgMcEREAHR0J1v5yBXFP32q6FK1Vy9gAM4baQC6Xa7oUItFjgCMi+v/inr5FTPxrTZdBRJQr3gNHREREJDIMcEREREQiwwBHREREJDIMcCIik8kQEhKiseUHBQXB1tZWrXlyqzkuLg4ymQzR0dFfWh4REVGJwQBXDPn5+aFPnz6ZhoeFhaFdu3YaqKjw1KhRA2FhYWjUqBEAICIiAjKZDG/evNFwZUXP0dER27dv13QZREQkAvwVqogYGRlpuoQCJ5VKtbJfREREhUn0Z+Dc3NywbNky+Pr6olWrVnBwcICfnx+ArC/PvXnzBjKZDBEREQD+74xPaGgo+vbti+bNm2P48OFISEjA2bNn0aNHD1hbW2P69OlISUnJU01///03Bg8eDFtbW9jZ2WHcuHGIjY1VmebJkyfw8vJCq1atYGlpCRcXF9y4cQNBQUHw9/fH7du3IZPJIJPJEBQUBED1cuSgQYOwZs0alTYTExPRtGlTXLp0CQCQmpqK1atXo23btrC0tMSAAQOEfudFUFAQOnTogBYtWsDDwwOvXr3KNE1ISAj69esHCwsLdOrUCf7+/khPT1eZ5tmzZxg9ejSaN2+OTp064cSJE8K4T7dRXFwchg8fDgBo2bIlZDIZvL29c63zS9Z3hj///BP9+/eHhYUF7Ozs4OHhIYx7/fo1Zs2ahZYtW6JFixYYPXo0Hj58KIzP6ozp9u3b4ejoKHz29vbGxIkT8eOPP6JNmzaws7PD4sWLkZaWBuDjfhwfH4+VK1cK2x0A4uPjMX78eLRs2RKWlpZwcnLC2bNnc10nRESk3bTiDNzBgwcxcuRI7N27F9evX4e3tzesra1Rt27dPLfh7++PBQsWQE9PD56envD09ETp0qWxbt06JCcnw8PDAzt37sTYsWNzbSslJQUjR46ETCZDcnIyNm7cCA8PD/z+++/Q0dFBUlIShg0bBmNjY2zevBlGRka4efMmFAoFevbsiXv37iE0NBTbtm0DABgYGGRahrOzM3744QfMmDEDEsnHp8cfO3YM1apVE+5TW7JkCf755x+sX78e1apVw6lTpzB69GgcPnwY9erVy7EPN27cwLx58+Dl5YXOnTsjNDRUCMYZLl++jNmzZ2P+/PmwtbVFbGwsFixYAACYNGmSMN3GjRsxY8YMzJs3D7///ju8vLzQqFEjmJqaqrRXo0YN+Pn5YfLkyThx4gT09fVRtmzZQl3fAHDmzBlMmjQJ48ePh6+vL9LS0lRCkre3N/79919s2bIF+vr6WLNmDcaOHYujR4+q9VqgiIgIGBkZ4eeff0ZsbCymTZuGJk2aYODAgUIIHDhwIAYOHCjMs2TJEqSlpWHXrl0oV64c/vnnH5QrVy7PyyQiIu2kFQFOJpMJgaFevXrYtWsXwsPD1Qpwnp6esLGxAQC4urpi3bp1CAkJQe3atQEA3bp1Q0RERJ4CXLdu3VQ+r1ixAq1bt8Y///wDMzMzHDlyBImJidi/fz8MDQ0BQKXWcuXK5XppsUePHlixYgWuXLkiBLYjR47AyckJEokEjx8/RlBQEP766y8YGxsDANzd3REaGoqgoCB4eXnl2IcdO3agbdu2GDNmDACgfv36uHbtGkJDQ4Vp/P39MXbsWPTr1w8AULt2bUydOhVr1qxRCXDdu3fHgAEDAHxcz+fPn8fOnTvh4+OjskypVIqKFSsCAKpUqYIKFSrkWGOGL13fAQEB6NmzJ6ZMmSIMa9y4MQDg4cOH+PPPP7F7925YW1sDANauXYsOHTogJCQEPXr0yFONAFCxYkUsXLgQUqkUpqamaN++PcLDwzFw4EAYGhpCKpWifPnyKtv98ePH6Natm3BGLmN/VJfYn3yfUX9h9kMqlRZa26Qq48uTtiqK/VXTtK2PYuyH1gS4TxkZGSEhISHfbVSpUgV6enoq/1hWrVoVUVFReWrr4cOH2LRpE27cuIGXL19CqVQCAP777z+YmZkhOjoa5ubmQpjIj8qVK8PBwQGHDh2Cra0tHj16hGvXrmHx4sUAgLt370Iul6N79+4q86WmpuZpuTExMejcubPKMEtLS5UAd/v2bVy9ehUBAQHCMLlcjg8fPiAlJUV4MbeVlVWmdgryV6dfur6jo6OFgPm5mJgYlCpVCi1atBCGVapUCfXr10dMTIxadTZs2FAlJBgZGeHu3bs5zjN8+HD4+PggLCwM9vb26Nq1qxAu1ZHXfbe4K6x+6Onpaf17SIuTe/fu5fmWFDHTluMuJyWhj8WVVgS4UqVUuyGRSKBUKqGj8/EWv4x/0AFkuj8rqzYkEkmWbeb1W+P48eNhYmKCZcuWoVq1alAoFOjVq5dwv1NeLgvmhbOzM5YtW4YFCxbgyJEjMDMzE4JocnIypFIpDhw4kOnMQkFdgktOTsbkyZPRtWvXTOPKlClTIMvIiy9d31+6PTL2t09ltZ9lt5/mZMCAAWjTpg3OnDmDc+fOITAwELNnz4abm5taNVpYWIj6DJNcLkdUVJTo+0EfNWrUSPj7rI1Kwv6qbX3M6I+YaEWAy07lypUBAM+fPxeGFfbzxl6+fIkHDx5g2bJlwqXNy5cvq0wjk8mwb98+vHr1KsuzQrq6unkKi506dcLChQsRGhqKI0eOqNxI36RJE8jlciQmJqr97DYAMDU1RWRkpMqwT2/6BwBzc3M8ePAg10vV169fR9++fVXaadKkSZbTZtxTltfT2QWxvs3MzBAeHo7+/ftnGmdqaor09HTcuHFDuISascyGDRsC+LifvXjxAkqlUrgfMT/7WXbbvUaNGhg8eDAGDx6MdevWYe/evWoHOKlUqhV/ZLWlHyWdjo5OidiOJWF/LQl9LK609ysQPp5ZsbS0RGBgIGJiYnDx4kVs2LChUJdZsWJFGBoaYs+ePfj3338RHh6OVatWqUzj5OSEqlWrwsPDA1euXMGjR49w8uRJXLt2DQBgYmKCuLg4REdHIzExEampqVkuq1y5cujUqRM2btyImJgY9OrVSxhXv359ODs7Y9asWfjjjz/w6NEjREZG4vvvv8eZM2dy7YebmxtCQ0Px448/4uHDh9i1a5fK5VMAwg8F/P39ce/ePcTExODo0aNYv369ynQnTpzA/v378eDBA2zatAmRkZEYNmxYlss1MTGBRCLBmTNnkJiYiKSkpBzrLIj1PWnSJBw9ehSbNm1CTEwM7ty5g8DAQAAf76ns1KkTFixYgMuXL+P27duYOXMmjI2N0alTJwCAnZ0dEhMTsXXrVsTGxuKXX37JtK7ywsTEBJcuXcLTp0+RmJgIAFi+fDlCQ0Px6NEj3Lx5ExEREZl+/EFERCWPVgc44OMN7XK5HC4uLlixYgU8PT0LdXk6OjpYv349bt68iV69emHlypWYNWuWyjSlS5fGTz/9hCpVqmDs2LFwdnZGYGCg8C2mW7duaNu2LYYPH47WrVvjyJEj2S7P2dkZt2/fhq2tLWrWrKkybuXKlejbty9WrVqFHj16YOLEiYiKikKNGjVy7YelpSWWLl2KHTt2oE+fPggLC8OECRNUpmnbti0CAgIQFhYGV1dXDBw4ENu3b4eJiYnKdJMnT8axY8fQu3dvBAcHY926dcLZq88ZGxtj8uTJWLduHezt7bF06dIc6yyI9W1nZ4eNGzfizz//RJ8+fTBixAiVU+krV65E06ZNMX78eHz99ddQKpUIDAwUzhaamppi0aJF+PXXX9GnTx9ERkZi1KhRua7jz02ZMgXx8fHo3LkzWrduDeDjzd5LlixBz549MXr0aNSrVw+LFi1Su20iItIuEmVuN+EQkWjJ5XJcv34dlpaWor7MUVT98Pz2DGLiXxda+yWdqUlFbPDqALlcLur9MTfactzlRNv6KMb+aP0ZOCIiIiJto9U/YigMjx8/hpOTU7bjjx49mulSZnE0evRoXLlyJctx48aNw/jx44u4oqxpy/omIiIqSAxwaqpWrRqCg4NzHC8Gy5cvx/v377Mcl/Ew3eJAW9Y3ERFRQWKAU1OpUqXUesNDcZXxdobiTlvWNxERUUFigCMi+v9qGWd+7zAVHK5fooLDAEdEBEChUGLGUBtNl6H10tPl+P/PuyaiL8BfoRIRAdDR0WyqkMvluHXrlihfqp1XH/t4U9NlEGkFBjgiomKiJLzgPeMdxUT0ZRjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiIiESGAY6IiIhIZBjgiIiKCT09PU2XUOh0dXU1XQKRViil6QKIiNShUCihoyPRdBkFTiqVwtzcXNNlFKqPfWyq6TKItAIDHBGJio6OBGt/uYK4p281XQqpqZaxAWYMtYFcLtd0KUSixwBHRKIT9/QtYuJfa7oMIiKN4T1wRERERCLDAEdEREQkMgxwRERERCLDAEclVlxcHGQyGaKjo4t82Y6Ojti+fXuRL5eIiLQDf8RAWsPb2xtv3rzB5s2b8zR9jRo1EBYWhkqVKhVyZZnt37+/RDzzi4iICgcDHH2R1NRUlC5dWtNl5ItUKoWRkZFGll25cuUcx6elpfGBp0RElC1eQtVCbm5uWLZsGXx9fdGqVSs4ODjAz89PGP/48WNMmDABVlZWsLa2xtSpU/HixYs8te3n54c+ffpg3759cHR0RPPmzQEAb968wbx58/DVV1/B2toaw4cPx+3bt1Xm/fPPP9G/f39YWFjAzs4OHh4ewrjU1FSsXr0abdu2haWlJQYMGICIiAhhfFBQEGxtbREaGooePXrAysoK7u7uePbsmVDXwYMHcfr0achkMshkMpX5s/L5JdSIiAjIZDKEh4fDxcUFLVq0wKBBg3D//n2V+QIDA2Fvbw8rKyvMnTsXa9euRZ8+fVTW//Lly1XmmThxIry9vYXPn19Clclk+PXXXzF+/HhYWlpiy5Yt6NKlC3788UeVdqKjoyGTyfDvv//m2DciItJuPAOnpQ4ePIiRI0di7969uH79Ory9vWFtbY3WrVtj4sSJKFeuHHbu3Am5XI7Fixdj2rRp2LlzZ57ajo2NxcmTJ+Hv7w8dnY/fAaZOnYoyZcpg69atMDAwwJ49ezBixAicPHkShoaGOHPmDCZNmoTx48fD19cXaWlpOHv2rNDmkiVL8M8//2D9+vWoVq0aTp06hdGjR+Pw4cOoV68eAOD9+/f46aef4OvrCx0dHcycOROrV6/GunXrMGrUKMTExODdu3dYuXIlAKBixYr5Wnfr16+Ht7c3KleujEWLFmHu3Ln47bffAADHjh2Dn58fFi5cCBsbG/z+++/YuXMnateuna9lfcrf3x/Tp0/HvHnzIJVKUbp0aQQFBcHd3V2Y5sCBA2jZsiXq1q2rVttif3BqRv0KhQJSqVTD1dCXUigUmi6hUGXsr2I/7nKibX0UYz8Y4LSUTCbDpEmTAAD16tXDrl27EB4eDgC4e/cuTp8+jRo1agAAfH194eTkhMjISOGMWk7S0tLg6+srXAa8fPkyIiMjER4eLlxOnT17NkJCQnDy5El8/fXXCAgIQM+ePTFlyhShncaNGwP4eEYwKCgIf/31F4yNjQEA7u7uCA0NRVBQELy8vITlLl68GHXq1AEADB06VLjfrXz58ihbtixSU1O/+LLotGnT0KpVKwDA2LFjMXbsWHz48AFlypTBjh074OrqigEDBgjThoeH48OHD1+0TADo1asX+vfvL3zu168fNm3aJGyXtLQ0HDlyBLNnz1a77aioqC+urzi4d++e1r9uqiS4d+8eUlJSNF1GodOW4y4nJaGPxRUDnJaSyWQqn42MjJCQkICYmBhUr15dCG8A0LBhQ1SoUAH379/PU4CrWbOmyj1cd+7cQXJyMuzs7FSme//+PWJjYwF8vPSXEXo+d/fuXcjlcnTv3l1leGpqKgwNDYXPenp6QngDgGrVqiEhISHXetX16brLCIMJCQmoWbMmYmJiMGjQIJXpLS0tc71cmxfNmjVT+WxsbIz27dtj//79aN68Of766y+kpqZmWk95YWFhIeozV3K5HFFRUWjUqJGmS6EC0KhRI+HsvTbK2F/FftzlRNv6mNEfMWGA01KlSqluWolEAqVSWSBtf/7ryaSkJBgZGWV5CdbAwAAAULZs2WzbS05OhlQqxYEDBzL9IShXrpzw/4XZp099uhyJ5ONL09W55JNVXenp6bnO92lfMwwYMACzZs3C3LlzERQUhJ49e+br16tSqVQr/shq8z/6JYmOjo5W7I+50ZbjLicloY/FFf8aljCmpqZ48uQJ/vvvP2HYP//8gzdv3sDU1DRfbTZt2hQvXryAVCpF3bp1Vf7LOFNnZmYmXML9XJMmTSCXy5GYmJhpfnUuh+rq6hb6vTWmpqa4ceOGyrDPP1euXBnPnz8XPsvlcty7dy9fy2vfvj309PSwe/duhIaGqlxiJSKikosBroSxt7eHmZkZZsyYgZs3byIyMhKzZs1Cq1atYGFhke82LS0t4eHhgbCwMMTFxeHq1atYv369cEp60qRJOHr0KDZt2oSYmBjcuXMHgYGBAID69evD2dkZs2bNwh9//IFHjx4hMjIS33//Pc6cOZPnOkxMTHDnzh3cv38fiYmJSEtLy1d/cjJ8+HAcOHAABw4cwIMHD7Bp06ZM4eyrr77C2bNncebMGcTExMDHxwdv3rzJ1/KkUilcXFywbt061K1bF1ZWVgXRDSIiEjleQi1hJBIJNm/ejKVLl2LYsGGQSCRo27YtFixY8EVtBgYGYsOGDZgzZw5evnyJqlWrwtbWFlWrVgUA2NnZYePGjdi8eTMCAwOhr6+Pli1bCm2sXLkSW7ZswapVq/Ds2TMYGhrC0tISHTp0yHMdAwcOxMWLF9G/f38kJydjx44dme7L+1I9e/ZEbGws1qxZgw8fPqBbt24YPHgwwsLChGn69++P27dvY/bs2ZBKpfjmm2++qA5XV1cEBATAxcWlILpARERaQKIsjJuIiEoQPz8/hISE4Pfffy+U9i9fvoxvvvkGZ86cEQJxXsnlcly/fh2Wlpaivk/l8354fnsGMfGvNV0WqcnUpCI2eHWAXC4X9f6YG2057nKibX0UY394Bo6omEpNTUViYiL8/PzQrVs3tcMbERFpLwY4UuHk5ITHjx9nOW7x4sXo3bt3EVeUfwEBAfj++++zHGdjY4MffvihiCtSz5EjRzBv3jw0adIEvr6+mi6HiIiKEQY4UhEYGJjtIy+qVKlSxNV8mUGDBqFHjx5ZjsvpsSbqmjx5MiZPnlxg7WVwcXHhfW9ERJQlBjhSYWJioukSCoyhoaHKg4CJiIi0BQMcEYlOLWMDTZdA+cDtRlRwGOCISFQUCiVmDLXRdBmUT+npcvz/F5wQ0Rfgg3yJSFR0dLTzX3+5XI5bt25BLpdrupRC87GPNzVdBpFWYIAjIiomUlJSNF1CoSuMN6QQlUQMcEREREQiwwBHREREJDIMcEREREQiwwBHREREJDIMcEREREQiwwBHREREJDIMcEREREQiwwBHREREJDIMcEREREQiwwBHREREJDIMcEREREQiwwBHREREJDIMcEREREQiwwBHREREJDIMcEREREQiwwBHREREJDIMcEREREQiwwBHREREJDIMcEREREQiwwBHREREJDIMcEQkCnp6epouodCVhD7q6upqugQirVBK0wUQEeVKogNzc3NNV1GopFJpCeljU02XQaQVGOCIqNiT6kiw9pcriHv6VtOl0BeoZWyAGUNtIJfLNV0KkegxwBGRKMQ9fYuY+NeaLoOIqFjgPXBEREREIsMAR0RERCQyDHBEREREIiPaAOfn54c+ffqUmOVmx83NDcuXL9d0GUVCJpMhJCQEABAXFweZTIbo6Oh8t6epdVfc9iEiIhIfUQS4T//h1rRRo0Zh+/btmi6jUBREKCoqNWrUQFhYGBo1agQAiIiIgEwmw5s3b/Lchp+fH6ZOnVpYJWZLm/chIiIqGvwVqprKly+P8uXLa7oM0UpLSyuQB3lKpVIYGRl9URuGhoZfXEd+5LYPpaamonTp0kVYERERiY1aZ+Dc3NywdOlSLF++HC1btoS9vT327t2L5ORkzJkzB1ZWVujSpQvOnj0rzHPx4kW4urqiWbNmaNOmDdauXYv09HSVNpctWwZfX1+0atUKDg4O8PPzE8Y7OjoCADw8PCCTyYTPGYKDg+Ho6AgbGxtMmzYN7969E8adOHECzs7OaN68Oezs7PDNN98gOTk5135GRETA1dUVlpaWsLW1xaBBgxAfHw8g8+Uvb29vTJw4ET/++CPatGkDOzs7LF68GGlpacI0qampWLNmDdq3b49mzZqhS5cu2LdvnzD+7t27GD16NKysrGBvb4+ZM2ciMTEx1zqzEhwcDBcXF1hZWcHBwQHTp09HQkKCMP7169eYPn06vvrqKzRv3hxdu3bFgQMHAACdOnUCAPTt2xcymQxubm55Wub+/fvh5OQkbOMlS5YI42QyGX799VeMHz8elpaWCAgIAACEhISgX79+sLCwQKdOneDv76+yXzx8+BBDhw6FhYUFevbsiXPnzqks89OzhXFxcRg+fDgAoGXLlpDJZPD29s617s8voTo6OiIgIEDYlzt06IA9e/aozBMZGYm+ffvCwsICLi4uOHXqlMpZy6CgINja2qrMExISAplMJnzObh/asmUL2rRpg+7du8Pf3x+9evXKVHOfPn2wYcOGXPtGRETaTe0zcAcPHsTo0aOxb98+HDt2DD4+Pjh16hS6dOmCcePGYfv27Zg1axbOnDmDN2/eYOzYsejXrx9Wr16NBw8eYP78+ShTpgwmT56s0ubIkSOxd+9eXL9+Hd7e3rC2toaDgwP279+P1q1bY+XKlWjbti2kUqkwX2xsLE6fPo2AgAC8efMGnp6e2Lp1K6ZNm4Znz55h+vTpmDlzJjp37oykpCRcvnwZSqUyx/6lp6fDw8MDAwYMwLfffou0tDRERkZCIpFkO09ERASMjIzw888/IzY2FtOmTUOTJk0wcOBAAMCsWbNw/fp1zJ8/H40bN0ZcXBxevnwJAHjz5g1GjBiBAQMGYM6cOfjw4QPWrl0LT09P7NixQ93Ng/T0dEydOhUNGjRAQkICVq1aBW9vb2zduhUAsHHjRsTExGDr1q2oVKkSYmNj8f79ewDAvn37MGDAAGzfvh0NGzbM05myX3/9FatWrcL06dPRrl07vH37FlevXlWZxt/fH9OnT8e8efMglUpx+fJlzJ49G/Pnz4etrS1iY2OxYMECAMCkSZOgUCgwefJkVKlSBfv27cPbt2+xYsWKbGuoUaMG/Pz8MHnyZJw4cQL6+vooW7as2usOALZt24YpU6Zg/PjxOHnyJHx8fNCyZUs0aNAASUlJGDduHOzt7bFmzRrExcUV2D104eHh0NfXx7Zt2wAABgYG+O677xAZGYnmzZsDAG7duoU7d+7A399f7fbF/uDUT497Ej+FQqHpEgpVxvEm9uMuJ9rWRzH2Q+0A17hxY0ycOBEAMG7cOCEIZIQVDw8P7N69G3fu3MFff/2F6tWrY+HChZBIJDA1NcXTp0+xdu1aeHh4QEfn4wlAmUyGSZMmAQDq1auHXbt2ITw8HA4ODqhcuTIAoEKFCpkumSmVSqxcuRL6+voAgN69eyM8PBzTpk3D8+fPkZ6eji5dusDExERYTm7evXuHt2/fomPHjqhTpw4AwNTUNMd5KlasiIULF0IqlcLU1BTt27dHeHg4Bg4ciAcPHuD48ePYtm0b7O3tAQC1a9cW5t21axfMzc3h5eUlDFuxYgXat2+PBw8eoH79+rnW/ClXV1fh/2vXro158+bB1dUVSUlJKF++PB4/fowmTZrAwsICAFCrVi1h+ox1bWhomOfLk1u2bMHIkSMxYsQIYVhG4MjQq1cv9O/fX/g8d+5cIdhn1Dl16lSsWbMGkyZNwvnz53H//n388MMPMDY2BgBMmzYNY8aMybIGqVSKihUrAgCqVKmCChUq5Kn2rLRr1w5Dhw4FAIwZMwbbt29HREQEGjRogCNHjkChUGDFihUoU6YMGjVqhCdPnsDHxyffy8tQrlw5LFu2TOXSaZs2bRAUFCSsz6CgILRs2VJl/8mrqKioL65RU/T09LT+FVMlzb1795CSkqLpMgqdmI+7vCoJfSyu1A5wn4YgqVQKQ0NDmJmZCcOqVq0KAEhISEBMTAysrKxUzl7Z2NggOTkZT548Qc2aNTO1CQBGRkYql/2yY2JiIoQ3AKhWrZowX+PGjdG6dWs4OzujTZs2aNOmDbp16yb8Q58dQ0NDuLi4wN3dHQ4ODmjdujV69OiBatWqZTtPw4YNVc4QGBkZ4e7duwCA6OhoSKVStGzZMst5b9++jYiICFhZWWUaFxsbq3aA+9///gd/f3/cvn0br1+/Fs44/vfff2jYsCEGDx6MKVOm4NatW3BwcEDnzp1hbW2t1jIyJCQk4NmzZ2jdunWO0zVr1kzl8+3bt3H16lXhcirw8dvPhw8fkJKSgpiYGFSvXl0IbwCyXD+F4dN9USKRoGrVqsI+FRMTA5lMhjJlyhR4XWZmZpnuexs4cCDmzp2LOXPmQCKR4PDhw5gzZ06+2rewsOBZLCo2GjVqJHyB10ZyuRxRUVFafdxpWx8z+iMmage4UqVUZ5FIJCrDMsJabpcqc2szL/N/Pt+ny5VKpdi2bRuuXr2Kc+fOYefOnVi/fj327t2b6xmMlStXws3NDaGhoTh+/Dg2bNiAbdu2wdLSUu36c7uUl5ycjI4dO2LGjBmZxql7k35ycjLc3d2Few0rVaqE//77D+7u7sI9ee3bt8dff/2Fs2fP4ty5c/jmm28wdOhQzJ49W61lAVAJMjkpV65cpjonT56Mrl275rvNwpLffTGDjo5Opuk/vR8yO3p6epmGdezYEaVLl8apU6egq6uL9PR0dO/ePc+1fEoqlWrFH1nSDjo6OiVifywJx11J6GNxVahfgUxNTXHt2jWVf9CuXLmC8uXLo3r16nluR1dXN1/XpyUSCWxsbDBlyhQEBwdDV1c3z48jMTc3x7hx4/Dbb7/BzMwMR44cUXv5wMczKwqFApcuXcpyfNOmTXHv3j2YmJigbt26Kv99Hnxyc//+fbx69QozZsyAra0tTE1NszyTWblyZfTr1w9r167F3LlzhRv1M+55y+u61tfXh4mJCcLDw9Wq09zcHA8ePMjU37p160JHRwempqZ48uQJnj17Jsxz/fr1HNtUt/b8MDU1xZ07d/Dhw4ds66pUqRKSkpJUfixz+/btfC2vVKlS6Nu3L4KCghAUFAQnJ6d839tHRETapVAD3JAhQ/DkyRMsXboUMTExCAkJgZ+fH0aOHKnW6fOMkPD8+XO8fp23l1nfuHEDAQEBiIqKwuPHj/HHH38gMTERDRo0yHG+R48eYd26dbh27Rri4+MRFhaGhw8f5jpfdmrVqoV+/fph7ty5CAkJwaNHjxAREYFjx44B+LiOXr9+DS8vL0RGRiI2NhahoaGYM2eO2mGkZs2a0NXVxc6dO/Ho0SOcPn0amzdvVplm48aNCAkJwb///ot79+7hzJkzwj1+VapUQdmyZREaGooXL17g7du3uS5z8uTJ2LZtG3bs2IGHDx/i5s2b2LlzZ47zeHh44Pfff4e/vz/u3buHmJgYHD16FOvXrwcA2Nvbo169evD29sbt27dx+fJlYVx2TExMIJFIcObMGSQmJiIpKSnX2tXVq1cvSCQSzJ8/H//88w/Onj2Ln376SWWaFi1aQE9PD99++y1iY2Nx+PBhBAUF5XuZAwYMwIULFxAaGqpyHyEREZVshRrgjI2NERgYiMjISPTp0wc+Pj5wdXXFhAkT1Gpn9uzZOH/+PDp06CDc+J4bfX19XLp0CWPHjkW3bt2wYcMGeHt7o3379jnOp6enh/v372Py5Mno1q0bFi5ciKFDh2LQoEFq1fwpHx8fdOvWDT4+PujRowcWLFgg3MBrbGyM3bt3Q6FQwN3dHc7OzlixYgUMDAzUvkekcuXKWLVqFU6cOIGePXti69atmS6N6urq4ttvv0Xv3r0xbNgw6Ojo4NtvvwXw8YzP/PnzsWfPHrRt21b4sUpOMsLpr7/+il69emHcuHH4999/c5ynbdu2CAgIQFhYGFxdXTFw4EBs375d+LGJjo4O/P398f79e7i6umLevHmYNm1ajm0aGxtj8uTJWLduHezt7bF06dJca1dX+fLlERAQgLt376Jv375Yv359pkvfhoaGWLNmDf7++284Ozvj6NGjKr+4Vle9evVgZWWFBg0aoEWLFl/aBSIi0hISpTo3+BCRiri4OHTq1AnBwcFo0qRJgbevVCrRtWtXDBkyBCNHjlR7frlcjuvXr8PS0lL096l4fnsGMfF5OwNPxZOpSUVs8OoAuVwu+v0xJ9p03GVH2/ooxv7wTQxExVRiYiKOHj2KFy9ewMXFRdPlEBFRMVIiA1xOj37YunVrpifpa8rjx4/h5OSU7fijR48Kj2IpLGJZV58rDuvuS7Vu3RqVKlXCkiVLcn38DRERlSwlMsAFBwdnO+7TZ49pWrVq1XKsNadn0xUUsayrzxXVuqtVqxbu3LlTIG19rrDaJSIi8SuRAa5u3bqaLiFPSpUqpfFaNb38/CoO646IiKiwlMgAR0TiU8vYQNMl0BfiNiQqOAxwRFTsyRVKzBhqo+kyqACkp8vxydsViSiftPdldESkPZQK3Lp1q1DftKFpcrm8hPTxpqbLINIKDHBEJAoZD7/WZiWhj3l5NzAR5Y4BjoiIiEhkGOCIiIiIRIYBjoiIiEhkGOCIiIiIRIYBjoiIiEhkGOCIiIiIRIYBjoiIiEhkGOCIiIiIRIYBjoiIiEhkGOCIiIiIRIYBjoiIiEhkGOCIiIiIRIYBjoiIiEhkGOCIiIiIRIYBjoiIiEhkGOCIiIiIRIYBjoiIiEhkGOCIiIiIRIYBjoiIiEhkGOCIiIiIRIYBjohEQU9PT9MlFLqS0EddXV1Nl0CkFUppugAiKjkUCiV0dCRqzyeVSmFubl4IFRUfJaePTTVdBpFWYIAjoiKjoyPB2l+uIO7pW02XQhpQy9gAM4baQC6Xa7oUItFjgCOiIhX39C1i4l9rugwiIlHjPXBEREREIsMAR0RERCQyDHBEREREIsMAR4XC29sbEydO1HQZKuLi4iCTyRAdHQ0AiIiIgEwmw5s3b/LdpqOjI7Zv3y58lslkCAkJ+dJSiYiIcsQAV4K4ublh+fLlhT6PWFhZWSEsLAwGBgYAgKCgINja2n5Rm2FhYWjXrl1BlEdERJQt/gqVRCctLa1AHgZaunRpGBkZFUBF/6eg2yMiIsoKz8CVEN7e3rh48SJ27NgBmUwGmUyGuLg4XLx4Ea6urmjWrBnatGmDtWvXIj09Pcd55HI55s6dC0dHRzRv3hzdunXDzz//nO/aFAoFtm7dii5duqBZs2bo0KEDtmzZAuD/LnseO3YMw4YNg4WFBQ4fPgwA2LdvH3r06AELCwt0794dv/zyi0q7kZGR6Nu3LywsLODi4iJcOs3w6SXUiIgIzJkzB2/fvhX66ufnp3ZfPr2EmlH7H3/8ATc3N7Ro0QK9e/fGtWvXVOa5fPkyhgwZgubNm6N9+/ZYtmwZkpOThfG//PILunbtCgsLC9jb22PKlClq10VERNqFZ+BKiHnz5uHhw4do1KiREAAUCgXGjh2Lfv36YfXq1Xjw4AHmz5+PMmXKYPLkyVnOU7lyZSgUClSvXh0bN26EoaEhrl27hoULF8LIyAg9e/ZUu7Z169Zh3759mDNnDmxsbPDs2TM8ePBAZZq1a9fC29sbTZo0QZkyZXDo0CFs3LgRCxcuRJMmTRAdHY0FCxagXLly6NevH5KSkjBu3DjY29tjzZo1iIuLy/FSsJWVFebOnYtNmzbhxIkTAIBy5cqp3ZesrF+/HrNnz0bdunWxfv16TJ8+HX/88QdKlSqF2NhYjBkzBlOnTsWKFSuQmJiIpUuXYunSpVi5ciWioqKwfPly+Pr6wsrKCq9fv8bly5fVrqG4PDhVKpVqugQqBhQKhaZLKFQZx1txOe4Kg7b1UYz9YIArIQwMDKCrq4uyZcsKl/nWr1+P6tWrY+HChZBIJDA1NcXTp0+xdu1aeHh4ZDkP8PEf4U/PAtWuXRvXr1/HiRMn1A5w7969w44dO7Bw4UL069cPAFCnTp1M96KNGDECXbt2FT77+fnB29tbGFa7dm38888/2LNnD/r164cjR45AoVBgxYoVKFOmDBo1aoQnT57Ax8cnyzpKly4NAwMDSCSSAr8M+v/au++oKO72beDXgougqEgzioqGyKIC0tSIKMZYogQVxQQL9o4FS4TYgh2xEfSxd2J+SWzEqBFj8lgSEaMUUbGBiIgVrCCCu/P+4cs8bgQEAyyzXJ9zPEemfOe+Z3fxcsrOsGHD0KFDBwDAxIkT4eHhgZs3b8LKygrr16+Hp6cnhgwZAgBo1KgRZs6cCV9fXwQFBeHOnTswMDBAhw4dYGhoCAsLi/d63FJCQkIpdvR+DAwMtP5RUVQ8165dw4sXLzRdRpmrCJ+7slYZeqyoGOAqsaSkJDg6OkIm+9+zKZ2dnZGdnY27d++iXr16ha67c+dO7NmzB+np6Xj58iXy8vJgY2NT4hqSk5ORm5uLjz/+uMjlbG1txb9nZ2cjNTUVM2fOxOzZs8Xpr169Em9ISEpKgkKhQNWqVcX5jo6OJa6vNCgUCvHv+eEwMzMTVlZWuHz5Mq5cuSKeFgYAQRCgUqmQlpYGV1dX1KtXD506dUK7du3Qrl07dO7cucQPPbezs+PRL6owmjRpAh0d7b2CR6lUIiEhQas/d9rWY34/UsIARyV28OBBLFmyBAEBAXB0dET16tWxefNmxMfHl3isNwNWUd48nZl/fdj8+fPRokULteUq4j8Kb95wkR+W808hZWdnw8fHB76+vm+tV7duXejp6WHfvn04c+YM/vzzT4SFhWH16tXYvXs3atasWewadHV1teKXLGkHHR2dSvF+rAyfu8rQY0XFAFeJyOVytWtPrKysEBkZCUEQxGBx7tw5VK9eHR988EGB6wBATEwMHB0dMWDAAHFaamrqe9XUqFEj6Ovr4/Tp02jQoEGx1jE1NYW5uTlu3bqFHj16FLiMlZUVfv75Z7x8+VIMiXFxcUWOK5fLy/06iGbNmuH69euwtLQsdJkqVarA1dUVrq6uGD9+PFq2bInTp0+rnVImIqLKpeIdrqAyY2Fhgfj4eKSlpSEzMxP9+/fH3bt3MX/+fCQlJeHo0aNYtWoVhg4dKh7J+uc6KpUKlpaWuHDhAk6ePIkbN24gNDT0vQ89V61aFSNHjsTSpUsRERGB1NRUxMXFYdeuXUWuN3HiRGzYsAE7duzAjRs3cOXKFezZswdbt24FAHz++eeQyWSYNWsWrl+/juPHj2PLli3v3D/Z2dmIiopCZmZmuVyjM3LkSMTGxmLevHlITExESkoKjh49innz5gEA/vvf/2LHjh1ITEzE7du3ERERAZVKhcaNG5d5bUREVHHxCFwlMmzYMAQGBsLDwwM5OTn4/fffsWHDBoSEhOCnn36CkZERvL29MXbs2CLX8fHxQWJiIiZPngyZTAYPDw/0798fJ06ceK+6xo0bB11dXYSFheH+/fswMzODj49Pkev07dsX+vr62Lx5M0JCQlCtWjVYW1tj8ODBAIDq1atj3bp1+Oabb9CrVy989NFHmDZtGiZMmFDomE5OTvDx8YG/vz8eP36M8ePHF7l8abCxsUF4eDhCQ0PRv39/AK9vyMi/GaRGjRr47bffsHr1arx8+RKWlpZYvnw5mjRpUqZ1ERFRxSYTBEHQdBFEVDaUSiXi4uLg4OBQYa5T8V9xDEm3n2i6DNIAK4taCJ3SAUqlssK8H8tCRfzclTZt61GK/fAUKhEREZHE8BQqlan09HR4eHgUOv/gwYNFfl2JJp09exYjR44sdP4/n6hARERUXhjgqEyZm5sjIiKiyPkVla2tbZG1ExERaQoDHJWpKlWqFPkVGRWZvr6+ZGsnIiLtxgBHROWqfp0ami6BNISvPVHpYYAjonKjUgmYNsBZ02WQBr16pcQbT+8jovfEu1CJqNzo6Lzfv9xKpRKXLl0q9ydllKfK0+NFTZdBpBUY4IhIEsrjyRiaVhl6zMvL03QJRFqBAY6IiIhIYhjgiIiIiCSGAY6IiIhIYhjgiIiIiCSGAY6IiIhIYhjgiIiIiCSGAY6IiIhIYhjgiIiIiCSGAY6IiIhIYhjgiIiIiCSGAY6IiIhIYhjgiIiIiCSGAY6IiIhIYhjgiIiIiCSGAY6IiIhIYhjgiIiIiCSGAY6IiIhIYhjgiIiIiCSGAY6IiIhIYhjgiIiIiCSGAY6IJMHAwEDTJZS5ytCjXC7XdAlEWqGKpgsgospDpRKgoyMr8Xq6urpo1qxZGVRUcVSeHptrugwircAAR0TlRkdHhmU7zyHt3jNNl0IaUL9ODUwb4AylUqnpUogkjwGOiMpV2r1nSLr9RNNlEBFJGq+BIyIiIpIYBjgiIiIiiWGAIyIiIpIYBjgJWrVqFXr27Fns5X/88Ue4u7vDxsYG27ZtK7vCiIiIqFwwwFVwCoUCR48eVZs2bNiwYgex58+fY/78+Rg5ciROnDiBL7/88l/XFB0dDYVCgadPn/7rsei1vXv3wsXFRdNlEBGRRPAuVAmqXr06qlevXqxl09PTkZeXB3d3d5ibm5dxZSUjCAKUSiWqVOHbkIiIqCS06gicr68vFixYgJCQELRq1Qpt27bFqlWrAABpaWlQKBRITEwUl3/69CkUCgWio6MB/O/I0smTJ9GrVy/Y29tj0KBByMjIwPHjx9GtWzc4OTlh6tSpePHiRbFqOnz4MDw9PWFvb4/WrVtjyJAhyM7OBgCcP38eQ4cORevWreHs7IyBAwfi4sWL4rodO3YEAPj5+UGhUIg///MUanR0NLy9veHg4AAXFxf4+Pjg9u3b2Lt3Lzw9PQEAnTp1gkKhQFpaGlJTUzF27Fi4urrC0dERffr0walTp9Tqzs3NxdKlS+Hu7g5bW1t07twZu3btQlpaGgYNGgQAaNmyJRQKBQIDA8V1FixYgDZt2sDOzg79+vXD+fPn1epUKBQ4fvw4evfuDTs7O+zfvx82NjZISEhQ2/62bdvwySefQKVSFbl/lUolZsyYgY4dO8Le3h5du3bF9u3b31pu9+7d8PDwgK2tLdzc3DBv3jxx3tOnTzFnzhy4urrCzs4On3/+Of773/+K8yMjI8V1O3bsiC1btqiNXdBRUhcXF+zduxfA/957R44cga+vL1q0aIEePXogNjZW3C9ff/01nj17BoVCAYVCIb5vd+7ciS5dusDOzg6urq6YOHFikfuDiIgqB6079LFv3z4MHToUP/30E+Li4hAYGAgnJydYWloWe4zVq1dj9uzZMDAwgL+/P/z9/aGnp4fly5cjOzsbfn5+CA8Px6hRo4oc5/79+5g6dSq++uordOrUCVlZWTh79iwEQQAAZGVloVevXpg1axYAYMuWLRg1ahQiIyNhaGiI3bt3o02bNli8eDHatWsHXV3dt7bx6tUr+Pn5oW/fvlixYgXy8vJw/vx5yGQydO/eHXXr1sWQIUOwa9cu1K1bF8bGxrh27Rrc3d0xefJk6OnpISIiAmPGjMHhw4dRr149AMD06dMRFxeHWbNmwcbGBmlpaXj06BHq1q2LVatWYcKECTh8+DAMDQ2hr68PAAgJCUFkZCSCg4NhYWGBTZs2YcSIEThy5AiMjIzEmpcvX46AgAA0aNAANWvWhKurK/bu3Qs7Oztxmb1798LLyws6OkX/H0OlUuGDDz7At99+CyMjI8TGxmLOnDkwMzND9+7dAQDff/89goODMXXqVLRv3x7Pnj1DTEyMuP7IkSORlZWFpUuXomHDhrh+/bq43QsXLsDf3x/jx49H9+7dERsbi7lz58LIyAi9e/cusrZ/WrlyJQICAmBpaYmVK1di6tSpOHLkCBwdHTFjxgyEhYXh8OHDAIBq1aohISEBCxcuREhICBwdHfHkyROcPXu2RNvMV1G+OLWg9zBVPu/6j5nU5X/eKsrnrixoW49S7EPrApxCocD48eMBAI0aNcJ3332HqKioEgU4f39/ODs7AwC8vb2xfPlyHD16FA0aNAAAdO3aFdHR0e8McA8ePMCrV6/QuXNnWFhYiPXla9Omjdry8+fPh4uLC/7++2988sknMDY2BgDUrFkTZmZmBW7j+fPnePbsGT755BM0bNgQAGBlZSXOzw9OxsbG4hg2NjawsbFR6/fo0aP4448/MHDgQNy4cQO//vortm7dCldXVwAQeweAWrVqAQBMTExQs2ZNAEB2djZ++OEHLF68GO7u7mI/f/31F3bv3o0RI0aI60+cOBFt27YVf/b29kZQUBC+/vpr6Onp4eLFi7h69SrWrFlT5P4FXj9X8c2jUg0aNEBcXBwOHz4sBri1a9di6NChGDx4sLicvb09AODUqVM4f/48Dh06hMaNG7/V69atW9GmTRv4+fkBABo3bozr169j8+bNJQ5ww4YNQ4cOHcR94OHhgZs3b8LKygo1atSATCZTe53v3LkDAwMDdOjQAYaGhrCwsHjvRy398winJhgYGGj9o6KoeK5du1bssxhSVhE+d2WtMvRYUWllgHuTmZkZMjIy3nsMExMTGBgYqP2jbmpqWqw3rY2NDdq0aQNPT0+4ubnBzc0NXbt2FQPQw4cPERoaijNnziAjIwMqlQovXrxAenp6sWvNPxI0fPhwtG3bFm3atEG3bt2KvN4tKysLq1evxrFjx/DgwQMolUrk5OSI201MTISuri5atmxZ7DpSU1ORl5cHJycncZpcLoe9vT2SkpLUln3zSBvw+vTuvHnz8Ntvv8HDwwP79u1D69atUb9+/WJte+fOndizZw/S09Px8uVL5OXliQE1IyMD9+/ffyss50tMTMQHH3wghrd/Sk5Oxqeffqo2zcnJCTt27IBSqSzREaU331f5QS0zM1MtcL/J1dUV9erVQ6dOndCuXTu0a9cOnTt3fq8HntvZ2fHoF1UYTZo0eefRdSlTKpVISEjQ6s+dtvWY34+UaF2A++cF8TKZDIIgiL8s8k9fAq9PP75rDJlMVuCYxTkFoKuri61btyImJgZ//fUXwsPDsXLlSvz0009o0KABAgIC8PjxY8ycORP16tWDnp4evvzyS+Tl5RW7XwBYvHgxfH19cfLkSfz6668IDQ3F1q1b4eDgUODyS5YswalTpxAQEICGDRtCX18fEydOFLebf0q0rPwzgOjp6aFXr17Yu3cvOnfujF9++QUzZ84s1lgHDx7EkiVLEBAQAEdHR1SvXh2bN29GfHw8AKBq1apFrl8avea/x95U0HtLLperrQMUfSrJ0NAQ+/btw5kzZ/Dnn38iLCwMq1evxu7du8Ujn8Wlq6urFb9kSTvo6OhUivdjZfjcVYYeKyrt/S/QP+Sfjnzw4IE47c0bGsqKTCaDs7MzJk6ciIiICMjlcvGC95iYGPj6+sLd3R1NmjSBnp4eHj16pLa+XC4v1rn5Zs2aYfTo0fjhhx9gbW2NAwcOFLpsbGwsvLy80LlzZygUCpiamuL27dvifGtra6hUKvz9998Frp8fRN6sq2HDhpDL5eK1ZQCQl5eHhIQEfPTRR++sv2/fvjh16hS+//57KJVKdOnS5Z3rAK/3oaOjIwYMGIBmzZrB0tISqamp4vz8U49RUVEFrq9QKHD37l3cuHGjwPkffvihWk/522zUqJH4S8vY2Bj3798X56ekpJT49FBhr3OVKlXg6uqK6dOnY//+/bh9+zZOnz5dorGJiEj7aN0RuMLo6+vDwcEBGzZsQP369ZGRkYHQ0NAy3WZ8fDyioqLQtm1bmJiYID4+HpmZmfjwww8BvL5Gb//+/bCzs8Pz588REhLy1hGh/PDh5OQEPT098fRrvlu3buGnn35Cx44dYW5ujhs3biAlJaXIL/q1tLTEb7/9ho4dO0ImkyE0NFTtSFD9+vXh5eWFGTNmYNasWVAoFEhPT0dGRga6d+8OCwsLyGQyHDt2DO7u7qhatSqqV6+Ofv36ISQkBLVq1UK9evWwadMm5OTkwNvb+537ysrKCi1atMCyZcvQp0+fYh8Zs7S0REREBE6ePIn69evj559/RkJCgtrp1wkTJuCbb76BiYkJ2rdvj6ysLDE8t2rVCi4uLpg4cSICAwPRsGFDJCcnQyaToX379hg2bBi8vb3xn//8B927d0dcXBx27tyJb775Rhz/448/xs6dO+Ho6AilUolly5apHW0rDgsLC2RnZyMqKgoKhQIGBgY4ffo0bt26hZYtW6JmzZo4fvw4VCpVoad7iYio8qg0AQ4AFi1ahJkzZ6J3795o3LgxvvrqKwwbNqzMtmdoaIi///4b27dvx/Pnz1GvXj0EBgaKF/kvXLgQs2fPhpeXF+rWrYvJkycjJCREbYyAgAAEBwdj165dqFOnDv744w+1+QYGBkhOTsa+ffvw+PFjmJubY8CAAfDx8Sm0rsDAQMyYMQM+Pj6oXbu2eBfmm4KCgrBixQoEBQXh8ePHqFevHkaPHg0AqFOnDiZMmIDly5fj66+/Rq9evRAcHIxp06ZBEARMnz4dWVlZsLW1xaZNm94KnYXx9vZGbGws+vTpU6zlAcDHxweJiYmYPHkyZDIZPDw80L9/f5w4cUJcxsvLCy9fvsS2bdsQEhICIyMjfPbZZ+L8VatWYcmSJZgyZQpevHgBS0tLTJ06FQDQvHlzhIaGIiwsDGvXroWZmRkmTpyodgNDQEAAZsyYgQEDBsDc3BwzZsxQ+zqY4nBycoKPjw/8/f3x+PFjjB8/Hm3atMFvv/2G1atX4+XLl7C0tMTy5cvRpEmTEo1NRETaRyb88+IdIg35z3/+g8OHD+OXX37RdClaQ6lUIi4uDg4ODhXmOhX/FceQdPuJpssgDbCyqIXQKR1KfAOQ1FTEz11p07YepdhPpbkGjiqurKwsXL16FTt37oSvr6+myyEiIqrwKtUp1NKWnp4ODw+PQucfPHhQ/GJcKtz8+fNx4MABdOrU6a3Tp3PmzCn0iJynp6faExWIiIgqCwa4f8Hc3BwRERFFzqd3Cw4ORnBwcIHzJk2ahOHDhxc4z9DQsCzLIiIiqrAY4P6FKlWqlOgJD1RyJiYmMDEx0XQZREREFQoDHBGVq/p1ami6BNIQvvZEpYcBjojKjUolYNoAZ02XQRr06pUS//9BJET0L/AuVCIqNzo67/cvt1KpxKVLl4r1VBKpqjw9luw7EomoYAxwRCQJJX08mRRVhh5L+qxnIioYAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRSYKBgYGmSyhzlaFHuVyu6RKItEIVTRdARJWHSiVAR0dW4vV0dXXRrFmzMqio4qg8PTbXdBlEWoEBjojKjY6ODMt2nkPavWeaLoU0oH6dGpg2wBlKpVLTpRBJHgMcEZWrtHvPkHT7iabLICKSNF4DR0RERCQxDHBEREREEsMAR0RERCQxDHBUaaxatQo9e/YUfw4MDMS4cePee7zo6GgoFAo8ffoUALB37164uLj86zqJiIjehTcxUKU1c+ZMCIIg/uzr6wsbGxvMnDnzvcbr3r073N3dS6s8IiKiQjHAkaTk5uZCT0+vVMaqUaNGqYyTT19fH/r6+qU6JhERUUF4ClXL5ebmYsGCBWjTpg3s7OzQr18/nD9/HsD/TgEeO3YMnp6esLOzwxdffIGrV6+qjXH27Fn0798f9vb2cHd3x4IFC5CdnS3O79ixI9atW4evv/4ajo6O6NChA3788cdi13j37l1MmTIFrVq1goODA3r37o34+HgA/zvtuWvXLnTs2BH29vYAgKdPn2LmzJn4+OOP4eTkhEGDBuHy5ctq427YsAGurq5wdHTEjBkz8PLlS7X5b55CDQwMxJkzZ7Bjxw4oFAooFAqkpaUVuwfg7VOo+bVHRESgY8eOcHZ2xuTJk/H8+XNxGZVKhfXr14u99ejRA4cPHxbnP3nyBFOnTsXHH38Me3t7dOnSBXv27ClRXUREpH14BE7LhYSEIDIyEsHBwbCwsMCmTZswYsQIHDlyRG2ZmTNnwtTUFCtXrsSYMWMQGRkJuVyO1NRUjBw5EpMmTcKiRYuQmZmJ+fPnY/78+Vi8eLE4xtatWzFx4kRx3aCgILRs2RIffvhhkfVlZWVh4MCBqFOnDtasWQMzMzNcvHgRKpVKXCY1NRWRkZFYvXo1dHRe/59j0qRJqFq1KjZu3IgaNWrgxx9/xODBgxEZGQkjIyMcOnQIq1atwpw5c+Ds7Iyff/4Z4eHhaNCgQYF1zJw5EykpKWjSpAkmTpwIADA2Nn7v/f5m7b///jvWrVuHp0+fwt/fHxs3bsTkyZMBAOvXr8f+/fsxd+5cNGrUCH///Te++uorGBsbo1WrVvj222+RlJSEjRs3onbt2khNTUVOTk6J66goX5yqq6ur6RKoAnjz862N8j9vFeVzVxa0rUcp9sEAp8Wys7Pxww8/YPHixeK1WfPnz8dff/2F3bt3w87ODgAwfvx4tG3bFgAQHBwMd3d3/Pbbb+jevTvWr18PT09PDBkyBADQqFEjzJw5E76+vggKCkLVqlUBAO3bt8eAAQMAACNHjsS2bdsQHR39zgB34MABZGZmYvfu3TAyMgIAWFpaqi2Tl5eHkJAQMVCdPXsW58+fR1RUlHg6NSAgAEePHkVkZCS+/PJL7NixA97e3ujbty8AYPLkyYiKinrrKFy+GjVqQC6XQ19fH2ZmZsXex+8iCAIWL14MQ0NDAECPHj0QFRWFyZMnIzc3F+vXr8fWrVvh6OgIAGjQoAHOnTuHH3/8Ea1atUJ6ejqaNm0qvlb169d/rzoSEhJKp6F/wcDAQOsfFUXFc+3aNbx48ULTZZS5ivC5K2uVoceKigFOi6WmpiIvLw9OTk7iNLlcDnt7eyQlJYmhwMHBQZxvZGSExo0bIzk5GQBw+fJlXLlyBb/88ou4jCAIUKlUSEtLg5WVFQBAoVCI82UyGUxNTZGRkfHOGhMTE9GsWTMxvBWkXr16akfDrly5guzsbLRu3VptuZycHKSmpgIAkpKS4OPjozbfwcEB0dHR76ypNFlYWIjhDQDMzc3F/XLz5k28ePECw4YNU1snLy8PTZs2BQD069cPEydOxKVLl9C2bVt06tRJ7fUsLjs7Ox79ogqjSZMm4tF0baRUKpGQkKDVnztt6zG/HylhgKMiZWdnw8fHB76+vm/Nq1u3rvj3KlXU30oymUztDs/CFOeifwMDA7Wfs7KyYGZmhvDw8LeWLe0bE/6tf+4XAOJ+yb+OcP369ahTp47aMvlHFt3d3fHf//4Xx48fx19//YUhQ4ZgwIABCAgIKFEdurq6WvFLlrSDjo5OpXg/VobPXWXosaJigNNiDRs2hFwuR0xMDCwsLAC8PrqTkJCAwYMHi8vFxcWhXr16AF5fNJ+SkiKe+mzWrBmuX7/+1mnN0qJQKLBr1y48fvy4yKNwb2revDkePnwIXV3dQk8pWllZIT4+Hr169RKn5d8YURi5XF6u1+ZYWVlBT08P6enpaNWqVaHLGRsbw8vLC15eXvjhhx8QEhJS4gBHRETaRXuPYROqVauGfv36ISQkBCdOnMD169cxe/Zs5OTkwNvbW1xuzZo1iIqKwtWrVxEYGIjatWujU6dOAF5fzxYbG4t58+YhMTERKSkpOHr0KObNm1cqNXp4eMDU1BR+fn44d+4cbt26hcjISMTGxha6jqurKxwcHODn54c///wTaWlpiImJwcqVK8VD4IMGDcKePXuwZ88e3LhxA2FhYbh27VqRtVhYWCA+Ph5paWnIzMws8zBnaGiIYcOGYfHixdi3bx9SU1Nx8eJFhIeHY9++fQCAb7/9FkePHsXNmzdx7do1HDt2TDxtTURElRePwGm5adOmQRAETJ8+HVlZWbC1tcWmTZtQq1YtcZmpU6di4cKFSElJQdOmTbF27VrxFJ6NjQ3Cw8MRGhqK/v37A3h9oX337t1LpT49PT1s2bIFS5YswahRo6BUKmFlZYVvvvmm0HVkMhk2bNiA0NBQfP3113j06BFMTU3h4uICU1NTAK+/VDc1NRVLly7Fy5cv0bVrV/Tr1w9//vlnoeMOGzYMgYGB8PDwQE5ODn7//ff3vmmguPz9/WFsbIz169cjLS0NNWrUQLNmzTBmzBgAr48KrlixArdv34a+vj6cnZ2xYsWKMq2JiIgqPplQnAuVSCtFR0dj0KBB+Pvvv1GzZk1Nl0NlQKlUIi4uDg4ODhXmOhX/FceQdPuJpssgDbCyqIXQKR2gVCorzPuxLFTEz11p07YepdgPT6ESERERSQxPoVKZWrduHdavX1/gPGdnZ2zatKmcKyq+OXPmqH19yps8PT1L7TpAIiKikmKAq8Rat26NK1eulOk2fHx80K1btwLnVfTnhk6aNAnDhw8vcN6b3+1GRERU3hjgqEwZGRkV++tBKhoTExOYmJhougwiIqK3MMARUbmqX6difdkylR++9kSlhwGOiMqNSiVg2gBnTZdBGvTqlRIymaarIJI+3oVKROVGR+f9/uVWKpW4dOkSlEplKVdUcVSeHi9qugwircAAR0SS8OLFC02XUOYqQ495eXmaLoFIKzDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEZEkGBgYaLqEMlcZepTL5ZougUgrVNF0AUSkHVQqATo6sjIZW1dXF82aNSuTsSuKytNjc02XQaQVGOCIqFTo6MiwbOc5pN17pulSqIKqX6cGpg1whlKp1HQpRJLHAEdEpSbt3jMk3X6i6TKIiLQer4EjIiIikhgGOCIiIiKJYYAjIiIikhgGOCIiIiKJYYAjqiAUCgWOHj2q6TKIiEgCGOCIiIiIJIYBroR8fX2xYMEChISEoFWrVmjbti1WrVoFAEhLS4NCoUBiYqK4/NOnT6FQKBAdHQ0AiI6OhkKhwMmTJ9GrVy/Y29tj0KBByMjIwPHjx9GtWzc4OTlh6tSpePHiRbFqys3NxYIFC9CmTRvY2dmhX79+OH/+vDg/f5vHjh2Dp6cn7Ozs8MUXX+Dq1atq45w9exb9+/eHvb093N3dsWDBAmRnZ4vzO3bsiHXr1uHrr7+Go6MjOnTogB9//LHY++7u3buYMmUKWrVqBQcHB/Tu3Rvx8fHi/D/++AN9+vSBnZ0dWrduDT8/v2KNGxERgd69e8PR0RFt27bF1KlTkZGRobbMtWvXMHr0aDg5OcHR0RH9+/dHamqqOH/37t3w8PCAra0t3NzcMG/ePHFeeno6xo4dC0dHRzg5OWHSpEl4+PChOD8wMBDjxo1T297ChQvh6+sr/lzU+wZ4vW8BwM/PDwqFQvz58uXL8PX1Fbfdu3dvJCQkFGu/EBGR9uL3wL2Hffv2YejQofjpp58QFxeHwMBAODk5wdLSsthjrF69GrNnz4aBgQH8/f3h7+8PPT09LF++HNnZ2fDz80N4eDhGjRr1zrFCQkIQGRmJ4OBgWFhYYNOmTRgxYgSOHDkCIyMjteVmzpwJU1NTrFy5EmPGjEFkZCTkcjlSU1MxcuRITJo0CYsWLUJmZibmz5+P+fPnY/HixeIYW7duxcSJE8V1g4KC0LJlS3z44YdF1piVlYWBAweiTp06WLNmDczMzHDx4kWoVCoAwLFjxzB+/HiMGTMGISEhyMvLw/Hjx4u1L1+9eoVJkybhww8/REZGBoKDgxEYGIiNGzcCAO7du4eBAweiVatW2L59OwwNDRETE4NXr14BAL7//nsEBwdj6tSpaN++PZ49e4aYmBgAgEqlwrhx41CtWjWEh4dDqVRi7ty5mDx5MsLDw4tVX77C3jdt27bF7t270aZNGyxevBjt2rWDrq4uAGDatGlo2rQpgoKCoKuri8TExPd6FFF5fHFqfs1E75L/uddW+Z83bf7CYm3rUYp9MMC9B4VCgfHjxwMAGjVqhO+++w5RUVElCnD+/v5wdnYGAHh7e2P58uU4evQoGjRoAADo2rUroqOj3xngsrOz8cMPP2Dx4sVwd3cHAMyfPx9//fUXdu/ejREjRojLjh8/Hm3btgUABAcHw93dHb/99hu6d++O9evXw9PTE0OGDBH7mjlzJnx9fREUFISqVasCANq3b48BAwYAAEaOHIlt27YhOjr6nQHuwIEDyMzMxO7du8VQ+eb+WrduHbp3746JEyeK02xsbIocM5+3t7f49wYNGmDmzJnw9vZGVlYWqlevjp07d8LQ0BArVqwQw0/jxo3FddauXYuhQ4di8ODB4jR7e3sAQFRUFK5evYrff/8ddevWBfA6CHt4eOD8+fPicsVR2Pumbdu2MDY2BgDUrFkTZmZm4jrp6ekYPnw4rKysxPXeR1kftTMwMND6x0BR6bl27VqxzzBIWWU4Wl4ZeqyoGODeg0KhUPvZzMzsrVN2JRnDxMQEBgYGYngDAFNT02J9MFJTU5GXlwcnJydxmlwuh729PZKSktSWdXBwEP9uZGSExo0bIzk5GcDrU3VXrlzBL7/8Ii4jCAJUKhXS0tLEAPFm3TKZDKampsXqPTExEc2aNVM7IvjP+X379n3nOAW5cOECVq9ejcuXL+PJkycQBAEAcOfOHXz00UdITEyEi4tLgUeuMjIycP/+fbRp06bAsZOSkvDBBx+I4Q0APvroI9SsWRPJycklDnBvKs77ZujQoZg1axZ+/vlnuLq64rPPPkPDhg2Lvc18dnZ2PEJGFUaTJk2go6O9V/AolUokJCRo9edO23rM70dKGODeQ5Uq6rtNJpNBEATxF1J+gAAgnqYragyZTFbgmOV5miE7Oxs+Pj5q123lezO8FNb7u+jr6/+r+YXJzs7G8OHD4ebmhmXLlqF27dq4c+cOhg8fjry8vHeOnX9k8d8oaB8U9Lq/z76bMGECPv/8cxw/fhwnTpxAWFgYVq5cic6dO5eoRl1dXa34JUvaQUdHp1K8HyvD564y9FhRae9/gTQg/zTYgwcPxGlv3tBQFho2bAi5XC5eswUAeXl5SEhIwEcffaS2bFxcnPj3J0+eICUlRTz12axZM1y/fh2WlpZv/dHT0/vXdebf3PH48eMC51tbWyMqKqrE4yYnJ+Px48eYNm0aXFxcYGVl9dZRLYVCgbNnz4qB7k2GhoawsLAodNtWVla4e/cu7ty5I067fv06nj59Kh6VNDY2VnvNgfd73eVyeYHXYTRu3BhDhgzBli1b0KVLF+zZs6fEYxMRkXZhgCtF+vr6cHBwwIYNG5CUlIQzZ84gNDS0TLdZrVo19OvXDyEhIThx4gSuX7+O2bNnIycnR+3aMABYs2aNeE1XYGAgateujU6dOgF4fT1bbGws5s2bh8TERKSkpODo0aNqd2P+Gx4eHjA1NYWfnx/OnTuHW7duITIyErGxsQBeX5938OBBhIWFISkpCVeuXMGGDRveOW69evUgl8sRHh6OW7du4ffff8eaNWvUlhkwYACeP3+OKVOmICEhASkpKYiIiBBPH0+YMAFbt27Fjh07kJKSgosXL4o3KLi6usLa2hrTpk3DxYsXcf78eUyfPh2tWrWCnZ0dAODjjz/GhQsXEBERgZSUFISFheHatWsl3kf5QfLBgwd48uQJcnJyMG/ePERHR+P27ds4d+4cEhISxOBIRESVFwNcKVu0aBGUSiV69+6NRYsWwd/fv8y3OW3aNHTt2hXTp0+Hl5cXbt68iU2bNqFWrVpqy02dOhULFy5E79698fDhQ6xdu1Y8umZjY4Pw8HCkpKSgf//+8PLyQlhYGMzNzUulRj09PWzZsgUmJiYYNWoUPD09sWHDBvHQe+vWrfHtt9/ijz/+QM+ePTF48OBiXY9gbGyM4OBgHD58GN27d8fGjRsREBCgtkzt2rWxfft2ZGdnw9fXF71798auXbvEa+K8vLwwY8YMfP/99/j8888xevRo3Lx5E8Dr05xr1qxBzZo1MXDgQAwZMgQNGjTAypUrxfHbtWuHcePGYenSpeLNE7169SrxPgoICMCpU6fQoUMHeHl5QUdHB48fP0ZAQAC6du0Kf39/tG/fXu1GDyIiqpxkQnEuYCJJi46OxqBBg/D333+jZs2ami6HypFSqURcXBwcHBzK5ToV/xXHkHT7SZlvh6TJyqIWQqd0gFKp1Orrpsr7c6cJ2tajFPvhETgiIiIiieFdqBVceno6PDw8Cp1/8OBB1KtXrxwrKti6deuwfv36Auc5Oztj06ZN7zXu2bNnMXLkyELn519DR0REVJkwwFVw5ubmiIiIKHL+u7Ru3RpXrlwpxare5uPjg27duhU4732/IgQAbG1ti+yfiIioMmKAq+CqVKlSoic8aIqRkVGhX9L7b+jr60uifyIiovLEAEdEpaZ+nRqaLoEqML4/iEoPAxwRlQqVSsC0Ac6aLoMquFevlJDJNF0FkfTxLlQiKhU6OmX3r7JSqcSlS5cKfFKFtqg8PV7UdBlEWoEBjogk4cWLF5ouocxVhh4LeqQdEZUcAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRERGRxDDAEREREUkMAxwRSYKBgYGmSyhzlaFHuVyu6RKItEIVTRdARBWXSiVAR0em6TKgq6uLZs2aabqMMlV5emyu6TKItAIDHBEVSkdHhmU7zyHt3jNNl0JaoH6dGpg2wBlKpVLTpRBJHgMcERUp7d4zJN1+oukyiIjoDbwGjoiIiEhiGOCIiIiIJIYBjoiIiEhiGODoXwkMDMS4ceM0XQYREVGlwgCnZXx9fbFw4cJyW49KD8MwEREVFwMcERERkcQwwP0Lvr6+WLBgAUJCQtCqVSu0bdsWq1atAgCkpaVBoVAgMTFRXP7p06dQKBSIjo4GAERHR0OhUODkyZPo1asX7O3tMWjQIGRkZOD48ePo1q0bnJycMHXqVLx48eKd9QQGBuLMmTPYsWMHFAoFFAoF0tLSAABnzpyBt7c3bG1t4ebmhmXLluHVq1dFrqdUKjFjxgx07NgR9vb26Nq1K7Zv3/7e+0ulUmHjxo3o3LkzbG1t0aFDB6xdu1acf/fuXUyZMgWtWrWCg4MDevfujfj4+HeOm5qairFjx8LV1RWOjo7o06cPTp06pbZMbm4uli5dCnd3d9ja2qJz587YtWuXOP/atWsYPXo0nJyc4OjoiP79+yM1NVWse/Xq1Wjfvj1sbW3Rs2dPnDhxQlw3/3V8+vSpOC0xMVFt/+/duxcuLi44efIkunXrBkdHRwwfPhz3798HAKxatQr79u3D77//Lr4G0dHRyM3Nxbx58+Dm5gY7Ozt88sknWL9+/XvsfSIi0ib8Hrh/ad++fRg6dCh++uknxMXFITAwEE5OTrC0tCz2GKtXr8bs2bNhYGAAf39/+Pv7Q09PD8uXL0d2djb8/PwQHh6OUaNGFTnOzJkzkZKSgiZNmmDixIkAAGNjY9y7dw+jRo2Cl5cXlixZghs3bmDWrFmoWrUqJkyYUOh6KpUKH3zwAb799lsYGRkhNjYWc+bMgZmZGbp3717ifbV8+XLs2rULX3/9NZydnXH//n3cuHEDAJCVlYWBAweiTp06WLNmDczMzHDx4kWoVKp3jpudnQ13d3dMnjwZenp6iIiIwJgxY3D48GHUq1cPADB9+nTExcVh1qxZsLGxQVpaGh49egQAuHfvHgYOHIhWrVph+/btMDQ0RExMjBhwd+zYga1bt2LevHlo2rQp9uzZg3HjxuHAgQNo1KhRsfvPycnBli1bEBISAh0dHXz11VdYsmQJli9fjmHDhiEpKQnPnz/H4sWLAQC1atVCeHg4/vjjD4SGhqJu3bq4c+cO7t69W5LdDgDv/cWpurq677UeUVGK87mWsvzPmzZ/YbG29SjFPhjg/iWFQoHx48cDABo1aoTvvvsOUVFRJQpw/v7+cHZ2BgB4e3tj+fLlOHr0KBo0aAAA6Nq1K6Kjo98Z4GrUqAG5XA59fX2YmZmJ07///nt88MEHmDNnDmQyGaysrHDv3j0sW7YMfn5+ha6nq6srBjoAaNCgAeLi4nD48OESB7jnz59jx44dmDNnDry8vAAADRs2hIuLCwDgwIEDyMzMxO7du2FkZAQAxd6HNjY2sLGxEX/29/fH0aNH8ccff2DgwIG4ceMGfv31V2zduhWurq5iL/l27twJQ0NDrFixQnxOY+PGjcX5mzdvxsiRI+Hh4QEA+OqrrxAdHY3t27fjm2++KfY+yMvLw9y5c9GwYUMAwIABA7BmzRoAQPXq1aGvr4/c3Fy11+DOnTuwtLSEs7MzZDIZLCwsir29NyUkJJR4HQMDA61/tBNpxrVr14p1VkHq3udzJzWVoceKigHuX1IoFGo/m5mZISMj473HMDExgYGBgVrAMDU1/VcfkqSkJDg6OkIm+98zLZ2dnZGdnY27d++KR6kKsnPnTuzZswfp6el4+fIl8vLy1MJScSUnJyM3Nxcff/xxgfMTExPRrFkzMbyVRFZWFlavXo1jx47hwYMHUCqVyMnJQXp6uji2rq4uWrZsWei2XVxcCnzI9vPnz3H//n04OTmpTXdycsLly5dLVKeBgYEY3gDA3Nz8ne8VLy8vDBs2DJ999hnatWuHDh06wM3NrUTbBQA7OzseTaMKo0mTJtDR0d4reJRKJRISErT6c6dtPeb3IyUMcP9SlSrqu1Amk0EQBPGXkyAI4rz8U3JFjSGTyQocUxOnHA4ePIglS5YgICAAjo6OqF69OjZv3lys69L+qWrVqkXO19fXf98ysWTJEpw6dQoBAQFo2LAh9PX1MXHiROTl5RVr7H+zbQAFvtb5235TYe+VojRv3hy///47Tpw4gVOnTsHf3x+urq4ICwsrUY26urpa8UuWtIOOjk6leD9Whs9dZeixotLe/wJpmLGxMQDgwYMH4rQ3b2goK3K5/K2wZ2VlhdjYWLWwcO7cOVSvXh0ffPBBoevFxMTA0dERAwYMQLNmzWBpaSle2F9SjRo1gr6+Pk6fPl3g/PwbPh4/flzisWNjY+Hl5YXOnTtDoVDA1NQUt2/fFudbW1tDpVLh77//LnTbZ8+eLTB0GRoawtzcHDExMWrTY2Ji8NFHHwEo+LUu6dE5oODXIL+G7t27Y8GCBVi5ciUiIyPfaz8REZH2YIArI/r6+nBwcMCGDRuQlJSEM2fOIDQ0tMy3a2Fhgfj4eKSlpSEzMxMqlQr9+/fH3bt3MX/+fCQlJeHo0aNYtWoVhg4dKh49Kmg9S0tLXLhwASdPnsSNGzcQGhr63oeYq1atipEjR2Lp0qWIiIhAamoq4uLixDtBPTw8YGpqCj8/P5w7dw63bt1CZGQkYmNj3zm2paUlfvvtNyQmJuLy5cuYOnWqWhCqX78+vLy8MGPGDBw9ehS3bt1CdHQ0Dh06BOD1tWjPnz/HlClTkJCQgJSUFERERCA5ORkAMHz4cGzcuBGHDh1CcnIyli1bhsuXL2PQoEEAXl/LV7duXaxatQopKSk4duwYtmzZUuJ9ZGFhgStXriA5ORmZmZnIy8vD1q1bceDAASQlJeHGjRs4fPgwzMzMULNmzRKPT0RE2oMBrgwtWrQISqUSvXv3xqJFi+Dv71/m2xw2bBh0dXXh4eGBNm3aID09HXXq1MGGDRtw/vx59OzZE0FBQfD29sbYsWOLXM/HxwddunTB5MmT8cUXX+Dx48fo37//e9c2btw4DB06FGFhYejevTsmT56MzMxMAICenh62bNkCExMTjBo1Cp6entiwYUOxDs0HBgaiZs2a8PHxwZgxY9CuXTs0b95cbZmgoCB07doVQUFB6NatG2bPni1eRF27dm1s374d2dnZ8PX1Re/evbFr1y7xmrhBgwZh6NChCA4ORo8ePXDy5EmsWbNGvANVLpdj+fLlSE5ORo8ePbBx48b3eq2/+OILNG7cGH369EGbNm0QExOD6tWrY9OmTfD29oa3tzdu376NDRs2aPX1Q0RE9G4y4V0X4RCRZCmVSsTFxcHBweG9r1PxX3EMSbeflHJlVBlZWdRC6JQOUCqVWn3dVGl87io6betRiv3wv/FEREREEsO7UCUkPT1d/C6yghw8eLDIrwQpS2VZm4eHh/iVIP80d+5c9OjR473GJSIikioGOAkxNzdHREREkfM1pSxr27BhQ6FfwWJiYvLe4xIREUkVA5yEVKlSpURPeChPZVnb+z59gIiISFsxwBFRkerXqaHpEkhL8L1EVHoY4IioUCqVgGkDnDVdBmmRV6+UeOOpfkT0nngXKhEVSkenYvxLq1QqcenSJSiVSk2XUmYqT48XNV0GkVZggCMiScj/4mVtVhl6LOiRdURUcgxwRERERBLDAEdEREQkMQxwRERERBLDAEdEREQkMQxwRERERBLDAEdEREQkMQxwRERERBLDAEdEREQkMXyUFpEWEwQBACT/7f759Uu9j6KwR+1RGfrUth7z+8j/nSkFMkFK1RJRieTm5iIhIUHTZRARSYKdnR309PQ0XUaxMMARaTGVSoVXr15BR0cHMj5BnIioQIIgQKVSoUqVKtDRkcbVZQxwRERERBIjjZhJRERERCIGOCIiIiKJYYAjIiIikhgGOCIiIiKJYYAjIiIikhgGOCIiIiKJYYAjIiIikhgGOCLSuMePH2Pq1KlwcnKCi4sLZsyYgaysrCLXefnyJebOnYvWrVvD0dEREyZMwMOHD8X5ly9fxpQpU+Du7g57e3t069YN27dvL+tWilQWfQLAggUL0Lt3b9ja2qJnz55l2cJbdu7ciY4dO8LOzg59+/bF+fPni1z+119/xWeffQY7Ozt4enri+PHjavMFQcC3334LNzc32NvbY8iQIUhJSSnDDt6ttHs8cuQIhg0bhtatW0OhUCAxMbEsyy+W0uwxLy8PS5cuhaenJxwcHODm5obp06fj3r17Zd1GpcIAR0QaN23aNFy/fh1bt27FunXrcPbsWcyZM6fIdRYtWoT//ve/CA0NRXh4OO7fv4/x48eL8y9cuABjY2MsXboUBw8exJgxY7BixQp89913Zd1Oocqiz3x9+vRB9+7dy6r0Ah06dAiLFy+Gn58f9u3bBxsbGwwfPhwZGRkFLh8TE4OpU6fC29sbERER+PTTT+Hn54erV6+Ky2zcuBHh4eEICgrCTz/9BAMDAwwfPhwvX74sr7bUlEWP2dnZcHJywrRp08qrjSKVdo85OTm4dOkSxo4di71792L16tW4ceMGxo4dW55taT+BiEiDrl+/LlhbWwvnz58Xpx0/flxQKBTC3bt3C1zn6dOnQvPmzYVff/31rXFiY2ML3VZQUJDg6+tbarWXRHn0GRYWJvTo0aPUay+Mt7e3MHfuXPFnpVIpuLm5CevXry9w+UmTJgmjRo1Sm9a3b19h9uzZgiAIgkqlEtq2bSts2rRJnP/06VPB1tZWOHDgQBl08G6l3eObbt26JVhbWwuXLl0q3aJLqCx7zBcfHy9YW1sLt2/fLp2iSeAROCLSqNjYWNSsWRN2dnbiNFdXV+jo6BR6GufChQvIy8uDq6urOM3Kygr16tVDXFxcodt69uwZjIyMSqv0EinPPstDbm4uLl68qFabjo4OXF1dERsbW+A6cXFxaNOmjdo0Nzc3sZe0tDQ8ePBAbcwaNWqgRYsWhY5Zlsqix4qmvHp8/vw5ZDIZatasWSp1E0+hEpGGPXz4EMbGxmrTqlSpglq1auHBgweFriOXy9/6x8DExKTQdWJiYvDrr7/iiy++KJ3CS6i8+iwvjx49glKphImJidp0ExOTt67Ry/fw4UOYmpoWunx+TyUZsyyVRY8VTXn0+PLlSyxbtgweHh4wNDQsncIJVTRdABFpp2XLlmHjxo1FLnPo0KFyqeXq1asYN24c/Pz84ObmVqpjV6Q+iSqavLw8TJo0CYIgYO7cuZouR6swwBFRmRg2bBi8vLyKXKZBgwYwNTVFZmam2vRXr17hyZMnMDMzK3A9U1NT5OXl4enTp2pHpzIyMt5a5/r16xgyZAi+/PJLjBs37j27KVxF6bO81a5dG7q6um9d6J6RkfHW0Zl8pqambx2leXP5/J4yMjJgbm6utoyNjU1pll8sZdFjRVOWPebl5cHf3x/p6enYvn07j76VMp5CJaIyYWxsDCsrqyL/6OnpwdHREU+fPsWFCxfEdU+fPg2VSgV7e/sCx7a1tYVcLkdUVJQ4LTk5Genp6XBwcBCnXbt2DYMGDUKvXr0wefJkre1TE/T09NC8eXO12lQqFaKiouDo6FjgOg4ODjh9+rTatFOnTom91K9fH2ZmZmpjPn/+HPHx8YWOWZbKoseKpqx6zA9vN2/exLZt21C7du0yqb9S0/RdFEREw4cPF3r16iXEx8cLZ8+eFbp06SJMmTJFnH/37l2ha9euQnx8vDhtzpw5QocOHYSoqCghISFB+PLLL4Uvv/xSnH/lyhXh448/FqZNmybcv39f/JORkVGuvb2pLPoUBEFISUkRLl26JMyePVvo0qWLcOnSJeHSpUvCy5cvy7SfgwcPCra2tsLevXuF69evC7NnzxZcXFyEBw8eCIIgCF999ZWwbNkycflz584JzZo1EzZv3ixcv35dCAsLE5o3by5cuXJFXGb9+vWCi4uLcPToUeHy5cvC2LFjhY4dOwo5OTll2kthyqLHR48eCZcuXRKOHTsmWFtbCwcPHhQuXbok3L9/v9z7E4TS7zE3N1cYM2aM0L59eyExMVHt81fW78nKhAGOiDTu0aNHwpQpUwQHBwfByclJCAwMFJ4/fy7Oz/+6hdOnT4vTcnJyhKCgIKFly5ZCixYtBD8/P7V/AMPCwgRra+u3/nzyySfl2tubyqJPQRCEgQMHFtjrrVu3yryn8PBwoUOHDkLz5s0Fb29vIS4uTq2ugIAAteUPHTokdOnSRWjevLng4eEhHDt2TG2+SqUSQkNDBVdXV8HW1lYYPHiwkJycXOZ9FKW0e9yzZ0+Br1dYWFi59FOQ0uwx/31c0J8339v078gEQRA0fRSQiIiIiIqP18ARERERSQwDHBEREZHEMMARERERSQwDHBEREZHEMMARERERSQwDHBEREZHEMMARERERSQwDHBEREZHEMMAREZHWCwwMxLhx4yrMOET/VhVNF0BEVFkEBgZi3759AAC5XI66deuiZ8+eGDNmDKpU4a/jiiQtLQ2ffvopIiIi0LRpU3H6zJkzwQcYUUXA3xhEROWoXbt2WLx4MXJzc3H8+HHMmzcPcrkco0ePLpPt5ebmQk9Pr0zGLm95eXmQy+Vq08q7vxo1apTbtoiKwlOoRETlSE9PD2ZmZrCwsED//v3h6uqKP/74A8DrMLJkyRK0a9cODg4O6Nu3L6Kjo8V1Hz16hClTpqBdu3Zo0aIFPD09ceDAAbXxfX19MW/ePCxcuBCtW7fG8OHDIQgCVq1ahQ4dOsDW1hZubm5YsGCBuM6TJ08wffp0tGzZEi1atMCIESOQkpIizt+7dy9cXFxw8uRJdOvWDY6Ojhg+fDju379fZK/Xrl3D6NGj4eTkBEdHR/Tv3x+pqakAAJVKhdWrV6N9+/awtbVFz549ceLECXHdtLQ0KBQKHDp0CAMHDoSdnR1++eUX8RTm2rVr4ebmhs8++wwAcOfOHUyaNAkuLi5o1aoVxo4di7S0tEJrO3HiBPr16wcXFxe0bt0ao0ePFmsDgE8//RQA0KtXLygUCvj6+gJ4+xRqbm4uFixYgDZt2sDOzg79+vXD+fPnxfnR0dFQKBSIiopC79690aJFC/j4+CA5ObnIfUf0LgxwREQaVLVqVeTl5QEA5s2bh9jYWKxcuRL79+/HZ599phamcnNz0bx5c2zYsAEHDhzAF198genTp6sFBgDYt28f5HI5/u///g9z585FZGQktm3bhrlz5+LIkSNYs2YNrK2txeUDAwNx4cIFrF27Fj/++CMEQcCoUaPEugAgJycHW7ZsQUhICL777jvcuXMHS5YsKbSve/fuYeDAgdDT08P27duxd+9e9OnTB69evQIA7NixA1u3bkVAQAD2798PNzc3jBs3Ti04AsCyZcswaNAgHDp0CG5ubgCAqKgo3LhxA1u3bsX69euRl5eH4cOHo3r16ti5cyf+7//+D9WqVcOIESOQm5tbYH0vXrzA0KFDsWfPHmzbtg0ymQx+fn5QqVQAgF27dgEAtm3bhj///BOrVq0qcJyQkBBERkYiODgY+/btg6WlJUaMGIHHjx+rLbdy5UoEBgZiz5490NXVxYwZMwrdd0TFIhARUbkICAgQxo4dKwiCIKhUKuGvv/4SbG1theDgYOH27dtC06ZNhbt376qtM3jwYGH58uWFjjlq1CghODhY/HngwIFCr1691JbZsmWL0KVLFyE3N/et9W/cuCFYW1sL586dE6dlZmYK9vb2wqFDhwRBEIQ9e/YI1tbWws2bN8VlvvvuO8HV1bXQupYvXy507NixwG0KgiC4ubkJa9euVZvWp08fISgoSBAEQbh165ZgbW0tbNu2TW2ZgIAAwdXVVXj58qU4LSIiQujataugUqnEaS9fvhTs7e2FkydPiuvl7/uCZGRkCNbW1sKVK1fUtn/p0qW3tp8/TlZWltC8eXNh//794vzc3FzBzc1N2LhxoyAIgnD69GnB2tpaOHXqlLjMsWPHBGtrayEnJ6fQeojehdfAERGVo2PHjsHR0RF5eXkQBAGff/45JkyYgDNnzkCpVIqnBPPl5ubCyMgIAKBUKrFu3TocPnwY9+7dQ15eHnJzc6Gvr6+2TvPmzdV+/uyzz7B9+3Z06tQJ7dq1g7u7Oz755BNUqVIFSUlJqFKlClq0aCEuX7t2bTRu3BhJSUniNAMDAzRs2FD82dzcHBkZGYX2mZiYCBcXl7euWQOA58+f4/79+3ByclKb7uTkhMuXL6tNs7W1fWt9a2trteveLl++jNTU1LfGe/nypdpp0TelpKQgLCwM8fHxePTokXhjwp07d9SOThYlNTUVeXl5atuVy+Wwt7dX23cAoFAoxL+bmZkBADIyMlCvXr1ibYvonxjgiIjKUevWrREUFAS5XA5zc3Px7tPs7Gzo6uqKp9jeVK1aNQDA5s2bsWPHDsyYMQMKhQIGBgZYtGiR2qlO4HXYelPdunVx+PBhnDp1CqdOncLcuXOxefNmhIeHF7vuf94lK5PJirwb85+h8n3l9/6mf/aXnZ2N5s2bY9myZW8ta2xsXOC4Y8aMgYWFBRYsWABzc3OoVCp8/vnnb+3L0vLm/pPJZAAgnq4leh8McERE5cjAwACWlpZvTW/atCmUSiUyMzPh4uJS4LoxMTH49NNP0bNnTwCvA0BKSgqsrKzeuV19fX107NgRHTt2RP/+/dGtWzdcvXoVVlZWePXqFeLj48UjSY8ePcKNGzfw0UcfvXefCoUC+/btK/DOUUNDQ5ibmyMmJgatWrVS68/e3r7E22revDl+/fVXmJiYwNDQ8J3L5/e3YMECcV+fPXtWbZn8mpVKZaHjNGzYEHK5HDExMbCwsADw+k7ZhIQEDB48uMR9EJUEb2IgIqoAGjduDE9PT0yfPh1HjhzBrVu3cP78eaxfvx7Hjh0DAFhaWuLUqVOIiYlBUlIS5syZg4cPH75z7L1792LXrl24evUqbt26hf3790NfXx/16tVDo0aN8Omnn2L27Nk4e/YsLl++jK+++gp16tQR78R8HwMGDMDz588xZcoUJCQkICUlBREREeLdl8OHD8fGjRtx6NAhJCcnY9myZbh8+TIGDRpU4m15enqidu3aGDt2LM6ePYtbt24hOjoaCxYswN27d99avlatWjAyMsKPP/6ImzdvIioqCsHBwWrLmJiYQF9fHydPnsTDhw/x7Nmzt8apVq0a+vXrh5CQEJw4cQLXr1/H7NmzkZOTA29v7xL3QVQSPAJHRFRBLF68GGvXrkVwcDDu378PIyMjODg4oEOHDgCAsWPH4tatWxg+fDgMDAzwxRdfoFOnTgWGizfVrFkTGzZsQHBwMFQqFaytrbFu3TrUrl1b3O7ChQsxZswY5OXlwcXFBRs2bCjw+rXiql27NrZv346lS5fC19cXOjo6aNq0KZydnQEAgwYNwvPnzxEcHIzMzExYWVlhzZo1aNSoUYm3ZWBggO+++w7Lli3D+PHjkZWVhTp16qBNmzYFHpHT0dHBypUrsWDBAnz++edo3LgxZs2aJX5VCPD6lOesWbPwn//8B2FhYXBxcSnwlPO0adMgCAKmT5+OrKws2NraYtOmTahVq1aJ+yAqCZlQ1EUMRERERFTh8BQqERERkcQwwBERERFJDAMcERERkcQwwBERERFJDAMcERERkcQwwBERERFJDAMcERERkcQwwBERERFJDAMcERERkcQwwBERERFJDAMcERERkcQwwBERERFJzP8DZ99Co5Q0WrkAAAAASUVORK5CYII=\n"},"metadata":{}}],"source":["numeric_df = df.select_dtypes(include=[np.number])\n","corr_with_target = numeric_df.corr()[\"default\"].drop(\"default\").sort_values(key=abs, ascending=False)\n","print(\"Top 15 numeric correlations with default:\")\n","print(corr_with_target.head(15))\n","\n","fig, ax = plt.subplots(figsize=(6, 8))\n","corr_with_target.head(15).sort_values().plot(kind=\"barh\", ax=ax, color=\"#4C72B0\")\n","ax.set_title(\"Top 15 numeric feature correlations with default\")\n","ax.set_xlabel(\"Pearson correlation\")\n","plt.tight_layout()\n","plt.savefig(\"../outputs/fig_correlations.png\", dpi=120)\n","plt.show()"]},{"cell_type":"code","execution_count":null,"id":"1512b10f","metadata":{"execution":{"iopub.execute_input":"2026-07-17T03:16:49.292873Z","iopub.status.busy":"2026-07-17T03:16:49.292637Z","iopub.status.idle":"2026-07-17T03:16:49.993843Z","shell.execute_reply":"2026-07-17T03:16:49.992591Z"},"colab":{"base_uri":"https://localhost:8080/","height":283},"id":"1512b10f","executionInfo":{"status":"ok","timestamp":1784292386187,"user_tz":-60,"elapsed":1253,"user":{"displayName":"Vivek nelapati","userId":"11760536282152039558"}},"outputId":"5170864a-483b-46e8-d0df-f937ddb85550"},"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 1500x400 with 3 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FihX2Dh24a11fsMy4Oe6TTz7RxIkT9cUXX+jw4cOSpBo1aujEiRNKSkqyPIF+//33q3Hjxvr888915MgRu8QPx5NxPmQ2m3X58mVt3LhRp06dUnJysqRrTyulpKSoZMmSkq71QX9/f9WpU0dLlizR3r177RY7rGX8fTCZTFZjoEtSTEyMihcvrqpVq1rahYaGqlSpUlq2bJlOnDghqeDWoCiiI1v++wtw8eJFffzxx+rSpYtWrFihp556SnXq1LHMj4iI0M8//2wpHjo5OenkyZOSsh5DGv+6fpic6/39999KSUmRn5+fJOm3335TdHS0NmzYoIsXL+qJJ55QnTp1NGzYMEVGRqpnz54aO3as0tPTC/SVQHvKGObjwoULOnr0qM6dO6f33nvPMuZ5qVKlFBoaqr1792rlypWWuzvKlCmj/v3764svvtCuXbvsuQmwITExUcOHD1fx4sW1YsUKjR07VpUqVZIkPfbYY6pTp45iYmK0ZcsWSbKcVAB3mwsXLmj06NEaM2aMunTpohkzZmjcuHF67rnn5OLioqtXr6py5cp66qmn5OzsrKFDh6pJkyaSrL8PnDt3TlLB/cKdX2WMb1moUCEZhqHq1aurU6dO+uyzzywvVs6Yd9999ykwMFBnzpzR0qVLJf2bJ1Hw/PPPP0pJSZF0LQdWrVpVTk5OlsJbSEiIihQpok8//VS+vr5auHChOnXqpDfffFMrVqzQxYsXtWvXLstdawDy3rZt2/Taa69J+ndcY0nau3evWrZsqS+++EKXL1/WZ599poiICB09elQNGzZUsWLF9MUXX0i69nf9ypUrSkpK0pEjRzR9+nS7bAvs75dffpH073e3jJrDvHnz1KRJE02aNEk9e/bUyJEjJUktWrTQ0aNH9dNPP1mdO1WrVk2HDx/WqlWrdP78eTtsCSTr7+UZfx/mzJmjgQMHauLEifr2228lSXXr1tWBAwd0/PhxywUTSXrmmWe0ZcsW/fzzz5kK7wUJ32xxQ7Ye7YqPj9c///xjealeRjF32bJlOnXqlGrUqKEOHTrovffe0+zZs/Xiiy+qV69eSk1N5YTqJq6/E2DevHmWMSPLly+vMmXK6NVXX1W7du00a9YsvfLKKxo7dqxGjRolSZo8ebLuvfdezZ49W/fee68mT57M/s5DGzdu1C+//KIGDRro7bffVuXKlbVt2zZdvHjR0qZmzZp6+umn9c4771glk2bNmmnw4MG6//777RU+dO3LQlZFu4MHD2r//v0aN26cXF1ddfHiRV28eNFyt02HDh1UsmRJzZkzR6dOndL06dM1e/Zspaam3ulNAOzqt99+02+//abJkyerR48eKlWqlMqXL6/Lly/r448/tuSwkJAQlSlTRuvXr9epU6ckXTsRP3r0qMLCwjRp0iSlpqYW2C/c+U1ycrJeeukldenSRW+88Ya2bdtmOTavvPKKLly4oFWrVlnGw8048WrZsqUeeughbdq0iSGvCrBPPvlE//vf/zRr1izLtMcee0xpaWnas2ePZVpERISioqK0fv16ubm5qUePHpo0aZLuu+8+7dixQz///LN+/PFHLp4BeSw2NlZRUVH6448/VLduXUnWBbPly5erYcOGWr16tUaNGqW+fftq8+bNWrBggerWrau6detq8eLFWr16tU6fPq3Nmzfrvvvu0/Tp09WuXTt7bRbs5OjRo1q1apVeffXVTN/dvv/+e3311VcaPXq0li5dqqlTp2rNmjV67733dN9996l9+/YaPXq0zp49q0KFCiktLU0XL15UrVq1dOHCBauLO8h7+/btU6dOnSRZ3/hw/PhxderUSV9++aVq1aqlhIQEjRo1SuvWrZO3t7d8fX31+uuvS5KKFCki6dr58+XLl/XVV19Zhh0uiArZOwA4toyC7oIFC3Tq1ClVqlRJgYGBcnV1VY0aNTRt2jRNmzZNDz74oI4eParU1FR9+umn+uqrrzRmzBi9/fbbWrNmjapWrar33ntPhQsXtvMWOZ7Tp0/rueee07vvvitfX1/9+uuvGjZsmIoXL65atWrpk08+0aZNmzR06FBNnDhRkZGRql69usqWLasqVapo3bp1mjlzpo4dO6ZKlSrpvffek2EYlsekkDsyhm7JcPr0aX3yySdKSUnRrFmz1LJlS/3xxx/asmWLNm3apJYtW8owDBUuXFjdunXT999/r0mTJmno0KGW6aGhoXbcIqSlpVm+qJ08eVKFCxeWq6urpGtj1yclJWn69Ok6c+aMJGnPnj06d+6cwsPDFRQUpI4dO+qTTz5R586dZTKZNHnyZP7G4a6Snp6u999/X5UqVVKjRo0sfydnzZqluXPnKikpSc2bN1etWrX04IMPqmfPnvrggw/UtGlTlS1bVlOnTtX8+fPVqFEjDRkyhN8fB5BxZ7Gzs7OqVKkiSTpw4IBWrVql/v37KyAgQJUqVdJLL72k6dOn69FHH1Xjxo1lNpuVlpYmFxcXtW3bVtOmTdPcuXM1YcIETogLEMMw5OTkpHLlyql8+fKaM2eOHnjgAbVs2VIuLi5q2bKlvvnmGw0ePFiSFBAQoEcffVSzZs1SjRo1dN9996lRo0Zq1KiR6tSpo4SEBPXq1YuLZ0Aemj17tiZOnKjRo0frmWeekbOzs65cuSJnZ2dJ154o+/333xUWFqa0tDSNHTtW33zzjZ599ln16tVLhQsXVvfu3WUYhkaOHKly5copISFBAwcO1OOPP27nrcOddOrUKQ0ZMkRms1lvvvmm1q5dazXfMAwtXrxYrVu3Vps2bXT48GG99957cnFxUYUKFVSuXDkNGDBAu3fvVlBQkGrWrKkDBw7o3nvv1bRp01S2bFk7bdndJzY2VsuWLVPLli3VuXNnSf/meEn6+eefValSJU2aNEnOzs46cuSIvv76a3355Zdq2LCh+vTpoz59+ujdd9/VY489pvT0dCUmJmrKlCkqUaKE5WbbgsjJ4NI/bmDfvn0aMGCADMNQ48aNtXXrVpUtW1Zjx45VxYoVtWTJEpUvX17lypVTpUqVdOTIEQUHB2vp0qWqWbOmUlNTlZqaqhIlSth7UxzW6dOn1a1bN7Vq1UqDBg3SoEGDdO+992rYsGGSpIULF2rChAkaOHBglkXXCRMm6MyZM3rnnXfudOh3nUuXLqlo0aKWn1euXKlFixapWbNmCg0NVXx8vAYNGqSKFStq0KBBKl++vKRrCenDDz/U4sWL9f3338vFxcVem4D/SEhI0JgxY7R//345OTmpVatW6tq1qypVqqTvvvtOixYt0oMPPqgaNWrI29tbS5cu1fbt2/X555+rWLFiOnPmjA4dOqT69evbe1OAO8owDF28eFFdunRR48aN9eqrr1rmjRgxQs2aNVNqaqpmz56tdu3aqVevXpKkHj166OTJk0pMTJS7u7veeOMNy11xsK8333zTcmHey8tLsbGxCg0N1eOPP66HHnpIc+fOlZOTk9555x15e3vrmWeekZubm1599VXde++9Vheb3333XVWoUEHPPfecnbcKueH333+3GrZxw4YN2rhxo4oXL67t27erVatWevrpp/XDDz/onXfe0ZgxY/Too49KunY3W8uWLTVixAgFBQVZCnfXn6wDyBtxcXHq16+fOnTooKefflrStbuIX3nlFT322GN6+eWXderUKfXs2VP169fX2rVrVa1aNQ0ZMsTyOx8bG6tq1apZ/v/QoUNq0KABLwa/y1y9elVjx47V/v37tWjRIsuND5MnT1bjxo3VoEEDSdLQoUPl7e2txMRELVy4UM2bN9egQYNUoUIFy7L++ecf/fDDD9q2bZuqVKmifv362WWb7laRkZEaPny4XnjhBfXr109FihTRlStXdPXqVUudom/fvnrooYc0YMAAjR49WitXrlSbNm3Up08fyxCny5Yt08KFC3XmzBmdO3dOvXr1ujuOpQH8v7S0tEzT3nrrLePVV1+1/Lxu3TrD09PTGDlyZJbLmD17tvHCCy8Y58+fz7M487uUlBTj4MGDlp8vXrxoDB482Ojbt6+xe/duo2vXrsahQ4eMCxcuGCNHjjR8fX2NN954w0hISDAM49px2rx5s/Hjjz8avXr1Mh599FFjzZo19tqcAis9Pd3q561btxrPPfec8cMPP1imnTt3zhgzZowRFBRkxMbGGoZhGF988YXRuXNnY/r06cb58+eNUaNGGdu2bTMuX75sXL169U5uAm5i06ZNRosWLYx+/foZMTExxtdff208++yzxpgxY4xLly5Ztc04dl988YXxzDPPGMnJyfYIGbCLEydOGPPnzzf++usvwzD+/X24evWq0bRpU2P48OFWef/6v3UjR440unfvbmzdutUwjGt/S1u1amUsX778zm0AbigyMtJ4+OGHjXbt2hk///yzZfrVq1eNuXPnGnXq1DESEhKM+Ph4IzQ01GjevLnx7rvvGqtWrTIaNWpkREZGGleuXDEMw7D8NzU11S7bgtyT8T1o7dq1Rt26dY033njDMu/s2bNG69atja1btxqrVq0yQkNDjTlz5hgJCQlGYGCg8cUXXxiG8e/fgjFjxhi1atUyjhw5cuc3BLjL7Ny50/L/6enpRsOGDY25c+caP/74oxEREWH8888/xqhRo4xOnToZ//zzj2EYhjF06FDD09PT+PLLL62W9fvvvxtvvPGGceDAgTu6DXA88fHxRlBQkPHxxx8bhmEYv/76q3H48GHj+eefN9q2bWsYxrW/+f379zfq1KljdOzY0fj9998tn09ISDAmTpxoxMXFWaZxbnznXb582Rg1apQxYsQIy7Rz584ZwcHBRmhoqGEYhnHp0iXjtddeM7p37240bNjQCA4ONn777TdL++uP64ULF4wdO3YY586du3MbYWcMlgwLk8mkq1evatu2bZY7yH///Xc1a9ZMkjRmzBiFh4frqaeeUt++fS2f27p1q77//nu99NJL+vDDD9WyZUvuPLfh+PHj8vX1VUhIiGWIiGLFisnDw0P79+/X+fPndejQIS1btkyBgYE6efKkFi1aZHl07tixYzKZTPrpp580bdo03XPPPfr22295lC4XpaenZ/ky1sKFC8tsNmv16tW6cuWKpGsvDn388cdVqFAhffrpp5KkoKAg+fr66ttvv1Xz5s21bds2VahQwfJ53Hm2xj2/dOmSmjdvrmnTpsnX11dlypTRn3/+qejoaK1cudLS7ujRozp+/Lg+/vhjTZkyRS1atLB6IgEoyC5cuKAxY8Zo9uzZGjx4sI4cOWL5W2Y2m9W2bVutX79eBw4csHzGbDZb3qnSoEEDHThwwPJ3s379+lq9erU6dOhwx7cF1v7++2/Lix4HDx6slStXyt/f3zLfbDarffv2euCBBzR27Fi5urrqvffes4xzvWLFCiUmJmrFihWW458xDGDG3cbIn1JTU3X27FlJUpMmTTRixAgtWLBAc+bMUXx8vEqXLq26detqwYIFatOmjbp166Zp06bp4MGDcnV11fbt2yX9Ox7+2LFj9dprr/EeGCCPRUdHKzQ0VEeOHLE87dGpUydNnTpVYWFhlqGYWrduLWdnZ8t7DUJDQ2U2m3X69GnFxsYqNTVVv/zyi8aPH69z584xzMZd6PTp02rTpo1iY2MlSa6urvLx8dHXX3+tRo0a6c0335Szs7OGDBmi48eP6/PPP5fZbFa7du1UokQJPfHEE6pdu7ZleatXr9bOnTt14sQJyzTOje+MrVu36ty5c5Ku1TROnz6tlJQULV++XL1799ahQ4cUFBSkn3/+WTt37lSRIkVUtWpV7dq1S506ddLChQvl5+cnSTpx4oTmzJmj6OhoSVLx4sVVp04dlSpVym7bd6cxnMtdzPjPW5QladKkSfrhhx/0zTffKD4+Xs8//7zq1aundevW6cEHH1R4eLjlseuDBw+qatWqWrhwodauXWsZgqRcuXJ22R5HZVz3uKphGOrevbu2bt2qJ554Qt27d1etWrUUFxenxo0b67PPPtNnn32mFStW6P3331dgYKBlOZs2bdJvv/2m0NBQy1ur77nnHrtsU0Fh/OdR4usfRT906JD2798vLy8vy5hen3zyiWWMwIwXcEjSsGHDFBMTo7feekt+fn5KSkqyvCOAYQrs6/pxzxMTE1W8eHHLy08uXLigtLQ0Xbp0SSNGjFBsbKy6du2qmJgYGYaht99+WyVKlNDChQv19ddfyzAMvfLKK2ratKk9Nwm440JCQtS0aVOdPn1aMTExeuKJJ9S1a1dJ18bL7tGjh/z8/DR48GDLONqSdPbsWc2YMUNJSUkaPXo0F9gdzOLFizV+/HgtWLBADz/8sGX6hQsXtGbNGkueW7t2rfr27atFixZZhq46fPiwNm7cqNdff13FihXTokWL5O3tbZftQO6aNWuWoqKi5OzsrKSkJD377LPq3LmzIiMjtWDBAgUGBmr48OH69ddfNX36dEVERKhq1aqaM2eOtmzZYrkh5IcfflCxYsWs8jCAvJWUlCSz2azixYtLkvbu3auQkBBduHBBzZs316RJkyRJly9f1uzZs7Vy5Uq9/fbbqlOnjubPn69ly5bpn3/+kZeXl3bs2KFu3bppyJAh9twk2IlhGFq0aJG6detm+TvetWtX7dq1Sw8//LCmTZumMmXKKDU1Ve+9956WLVumTZs2ydnZWSNGjNCOHTt07733qmHDhvrhhx90/Phxvfrqq2rdurW9N+2ucv78ebVq1UqTJ09W/fr1ZTabtXLlSo0aNUppaWkKCQnRoEGDdOHCBQ0ePFhnzpzRl19+qeTkZAUHB8vV1VXBwcHy8vLSkSNHNGnSJBUvXlyjR48u0OOe3whFdCg2NlZubm4qXbq0Dhw4oA4dOmjFihWqWrWqXn31VS1dulTjxo1TUFCQ5TO7d+9WZGSkevXqpVKlSunSpUtyc3Oz41Y4phMnTig5OVnVq1eXdO2Lzfz583Xp0iWdPHlSxYoVU+fOnVW3bl11795drq6u6tq1q3r16mX5Q+fu7q7Nmzdr0qRJ8vPz06BBgyxfjHBrri+Wp6WlKT093XLXXGpqqsaMGaNvv/1W9957r86fP6///e9/ev3115WYmKhx48YpJSVFr7/+utzd3SVdG5f+s88+k5+fnz755BN7bRZsuHDhgsaNG6fdu3erePHieuyxxxQUFGQZs37cuHGKi4vT4MGD9eCDD+q9997T4sWLFRoaqtDQUMXGxur48eN67LHH7LwlwJ119epVFSpUSLNmzdLvv/+umTNn6rPPPtOHH36onj17qmvXripevLi+/vprDRs2TLVq1VJoaKicnZ118uRJffTRRypfvrxef/11eXh42HtzoGvj42bkLklq0aKFfH19Le9V+fjjj/X++++rbt26mjFjhooVK6bk5GQNHTpUJ06c0LJlyyT9m0d///13PfTQQypWrJhdtge55+DBgxo+fLjOnTunl19+Wampqdq5c6ciIyNVp04dffLJJ5ozZ47mzZunfv36qV69evrwww/VqVMnS37MuFv91KlTmjt3rtWTDQDyTlpamkwmk+XmoO+//17nzp1Tly5ddOzYMcXGxuqll17SZ599Jl9fX0nSnj17NGXKFBUpUkQzZsyQdO2p6djYWCUkJOjRRx/lhq271H8vfh4+fFgPPPCAFi9erKNHj2rNmjV65513LBfWjx49qm7duql58+YaNWqUzp49q99//12rVq3SpUuXVLlyZQ0ePNhy/o076/r3uqWkpKhLly6Kj4/X/fffr5kzZ1rOibdv367u3bvr9ddfV4cOHRQdHa3ly5crKipKNWvW1MGDB9WpUyeNGDHCnptjd4XsHQDy3vW/NBknxBl34K5evVqDBg1SSEiIunXrpmrVqsnPz0+RkZEaPHiwevfura+//tryaNf999+vnTt36t1331WlSpVUpEgRlShRgrvLsnDp0iVFRETo119/1VdffaVq1aqpVKlSSk9P1+XLl/XSSy/p66+/1ujRo7V06VJ5eXnp4MGDqlatmvr06aN33nlHhQoVUqVKlbR9+3a9+OKLd8eLGu6AjAT++eefa/fu3WrRooUCAgJkMpn06aefaufOnVq6dKmKFi2qffv2qV+/frrvvvsUFhamNm3aaM6cOZo9e7ZGjBih06dP6+LFi3r66adVsWJFXb16VWazmZdlOYgjR44oPDxcpUuX1ujRo5WQkKCFCxcqNjZW48aNk5OTk7Zu3armzZvrwQcflGEYSkhIULly5bR+/Xq1bdtW1apVs7xQCSiozpw5o19++UWurq6qXLmyypcvbxmaw93dXUWKFFFSUpKeeeYZ1axZU+Hh4Tpw4ICGDBmiJ598Uunp6Vq2bJmGDRumSpUqKT09XS+++KKCg4PtvGWQpPXr11se269cubI6duyoRo0aadiwYerfv7/uv/9+ffPNNzKZTHrrrbfUsmVLy2eLFSum3r176/nnn9fixYv13HPPWYro179sEvnbypUrVbp0ac2ZM0clS5aUJHXt2lW1atXSm2++qffee0+DBg2Sk5OTJkyYoDFjxujgwYP6559/LMsICgqyvDyOAjqQ9zLuh8woeO7du1epqan69ddf9eWXX6pVq1aqVKmSXF1d9eijj+rdd9/V4sWLJUk1a9ZUs2bNtHjxYn399dd68sknVbFiRVWsWNFu2wP7MwzD0p/Onz+vDz/8UF9//bW+/fZby8vC169fr+XLl6tKlSpyc3NThQoV9NJLL+nNN99U9+7dVblyZTVp0kRNmjTRlStXGOLNDtLT0yVdq3sULVpUP//8s7777juNGzdOkZGRunTpkgIDAxUZGang4GAVL15cNWvW1NNPP62JEyfqiSeeUKNGjfTII4+od+/eOn36tKpXr251I8bdiktBBVxUVJT69OmjP/74Q9K/Y1VmjFXq5OSke+65R3/99ZcmTZokJycnVa9eXYmJiTpz5owqV66sV199VWvXrtUzzzyj0NBQhYSEyM/PT5MmTZKrq6vdts3RFS1aVBMmTNCDDz6osWPHauPGjZKkVq1a6csvv1S5cuX0yiuvqHjx4nr33XdVqlQp7d27V8nJyRowYIBmzJjxf+3dd1RUV9fA4d9QRUFsgD22CKgoKIiKhDhil1gSW4y9IZaIiT22qFgTo4BdsUWxAHZjw65g1xhFDUogKkoEEREpw/3+4OO+Ek3evIkyRvazlms5t57DwMy9+56zN59//jmenp4cOXJEAuiv0cmTJ9FqtXz//feYm5uTlZVFZmYm6enpHDx4EFdXV6pUqULp0qVp0qQJw4cPJyQkhFu3bqHVamnVqhXBwcF0796dNm3aoNPp8PHxoVevXhgZGUkAPZ8pivJS3vPc/0dFRaEoCitWrKBBgwaULVuWGzdukJaWRnp6Ounp6VhbWxMdHc2VK1cIDg4mMTGRUaNGsXDhQrmREAXC/Pnz+fjjj9mzZw/Lli0jLi4O+M8FuJWVFadPn1bzHZ48eZK4uDiOHz+Ot7c3cXFxdOjQgTVr1nD48GG+++47du7cKQH0t8Cvv/5Kt27dGDNmDO7u7jRv3pyrV68yb948nj59StOmTXF3dycwMJCWLVuyfft2NYD+4mdqzZo1adWqFSEhISiKol5PinfDw4cPWb16NVqtFgsLC7U+DECrVq349NNPCQoK4v79+wwcOJB27dqxf/9+kpKSCAsLU49TqFAhPD098fT01FdXhChQNBoNGo0GnU7HrFmz6NKlCykpKXh5eVG5cmV1lpGZmRmff/45ly9fZseOHer+bm5ulCtXjj179ryyfpAoOHI/8zUaDdHR0XTt2pX169fTpUsX0tLS1NSWAL6+vhw4cEBNgWloaEjz5s2pWrUqo0aNynNcCaDnL0VRUBQFAwMDDAwMuHjxIgcOHABg8+bNREREYGxsjIWFBV27dmXLli3cvHkTAFNTUz777DMMDQ2ZO3euesyqVavSsGFDCaDnyp/6pUJfrl27pjRs2FBZtmyZ8uzZMyU+Pl4ZMmSIMnv2bEVRcqoku7m5KT/88IPSrl07ZdWqVcqKFSuUdu3aKYmJiepx7t+/rxw7dkwJCwtTq3iLvyY6Olr57LPPlA4dOijR0dGKoijKgAEDlAULFiiKkvOzHTZsmDJu3DjF1tZWCQ4O1mdz33mRkZFK27ZtlaVLlyrPnz9X0tPT86zv0KGD4ufnpyiKkmedq6urEhQUpChKTsXqyMhIJTAwUNm3b1++tV38R0JCgrJkyRLl8ePHeZb//v2cMmWKsmDBAiUpKUnp3r274urqqr73uXbs2KF06dJFcXNzUxo3bqwcOHAgX/oghL7duHFD+eSTT5S2bdsqp06dUp48eZLnuz9XSkqK0qFDB2XChAlK48aNlRYtWiiHDx9WHjx4oHTu3Flp3ry5EhoaqoceiD/z+PFjpW3btoq7u7vy7NkzdfmCBQuUmjVrKuHh4YqiKMrdu3cVW1tbZfPmzUpmZmaeY8THxytHjx5VsrOzladPn+Zr+0X+iYqKUurUqaPs3btXURRFyc7OzrP+zJkzSsOGDZW5c+cqiqIoT548UebPn6/Y2toqderUUWJiYvK9zUKIHKtWrVICAwOVSZMmKVeuXFEUJed6eP369YqTk5Ny/fp1RVEUJSsrS5k2bZri6emZ5/P85s2bik6n00vbxdvl6dOnyoULF5SxY8cq06ZNUxISEhRFUZT58+crjRo1Uu7du6du26NHD6Vv375KbGysoig53xunTp1SNm3apJe2i7wyMjKU9evXKy4uLkpQUJCi0+mUoUOHKp07d1ZSUlLU7Zo0aaJMnjxZefTokaIoOZ8TixcvVtzc3PJcO4r/kJHo7yhFUcjIyMDe3p527dqxe/duoqKiKFasGM7OzmzYsIFt27ZRokQJPDw8uHz5MgsWLCA8PJwnT54QFRXFjRs3gJxR66VLl8bd3Z327durOZPEX1OlShVGjBhBkSJF+Pzzz4mOjsbZ2Znk5GSSkpIoXbo0/fv3V5/Snjp1Ss8tfrcdPXoUKysrunbtiqmpKSYmJnnWe3p6cvjwYRITEzExMSEzMxPIeR9jYmKAnKe09evXx8fHh+bNm+d3FwQ50whDQkLYtm0bkJPL3s/PD19fX4KDg9XK75UqVVKL9FasWJHQ0FAGDhyIqakpZ8+e5fr163h5eREUFMTChQs5fvy4jKATBUZISAhFixZlxYoVNGzYEAsLC4oXL05UVBQLFy4kKioKQC1mfeLECfr06cPWrVv58MMPsba2xs/Pj5YtW1KhQgV9dkW8gqWlJa1bt+a9997j8uXL6vIHDx6QnZ1N+fLlAShbtixdu3Zl8eLF/PLLLwBkZmYyf/58PDw8OHfuHDqdTuqxvMOMjY3JyMggISGBrKwsdUad8v+jDmvUqJFn9oGFhQV9+vRRC9MW1OJiQuSnF2eIvCgpKYmFCxcSGxuLra0tACYmJnzwwQc4Ojoyc+ZMICflS79+/bh//z6BgYHq/u+//77kqi6Acn+XlBdmIEyePJl+/foRGxvL4MGD1Zp3AwYMwMTEhJUrV6LT6QAYP348ly5dYv/+/WRkZKDRaGjYsGGeOnpCP7Zt28bXX3/N+fPnmTdvHr1798bAwIARI0bw008/sXfvXnXb4cOHc+DAAS5dugTkfE707NmTo0ePYmZmpqcevN3k0/IdpPx/vnMTExOysrJo164dT58+5YcffiAtLY3evXszcOBAFi5cyJYtW/Dw8ODBgwdYWVnRt29f7t+/D8D27dsBZMrua1CvXj3mzZtHamqqepP65MkT9Uurdu3ajBo1iqlTp7JgwQI9t/bdduPGDSwtLdW0BMeOHWP16tX4+fmxdu1aSpYsSZUqVZgxYwaQc2MZFxfHo0ePaNKkiT6bXmApr0jT0qpVK1xcXDh8+DDnzp1j9OjR/PTTTxQrVoyAgACWLFlCRkYGWq2WKlWq0KJFC/z8/NRcrTExMaxbt47Y2Fh0Oh1mZmbUrVtXL/0TIr88efKEEydOADlFxdeuXYuXlxc2NjZqvQ4fHx86d+7MunXrOHjwINnZ2ZQpU4YiRYrQuHFj+vbtm6eIZNWqVfH19VWLS4m3S/fu3TExMWHPnj2cPHkSLy8vwsLCqFatGufOnePu3bsATJo0iadPn7Jjxw5CQ0Np0qQJ+/btY82aNYwcOVKuBd9xVapUoV69euzcuZMHDx6oy3OD6bn3FC8+SLG0tKRTp07Url0739srxLtO+V1qlaysLDU9w/3794mNjVWDoD4+PlSvXh1jY+M8+5UvX56uXbsSFRXF/v37AShdujQzZ87kww8/zLe+CP37/b1UbiFaQB0wBjkB1aJFi5KWlqYGUHMfoo8YMYLg4GB1gIWdnR0eHh5qCkDx5in/n6ol1x89WDM1NWXLli1cunRJ/Y7Ozs6matWq9OjRA39/f/W7vn379pQoUYKgoCAePXoE5NTCebGwrMhLgujvgM2bN3P+/Hn1de4F76JFi3BxceH7778nMTGRPXv2cPbsWSDny7Zp06b88MMPhIWFYWlpSXx8PB9++CEDBw6kZMmS6pNs8c8pioKNjQ1z5swhKSmJq1evsnPnTvXmVafTYW5uTpcuXfTc0ndf79692bt3Lz169ECr1eLn58exY8c4ffo0wcHBLF26lI4dO3L06FE6derE5MmT+eyzzyhfvjy1atXSd/MLpNzPtLS0NPXCwcLCgpYtW6LT6Vi5ciWWlpYEBQUxY8YMfHx8+Omnn9iyZQsVKlSgQ4cOhIWFERAQwMGDB9m4cSO9e/cmKysLR0dHuUgQBUJAQAD169dn48aNKIpCYmIiRkZG6oMlAwMDnj59CuQ8RO/QoQORkZGcPHkSyMmbGh0drd7Ii3+HokWL8vHHH3Pq1CkGDRrERx99xLZt25g+fTo7d+5k6NChbNiwAQMDAyZMmMDSpUuZPXs2gwcP5ocffsDV1VXfXRD5pE+fPly9epWQkBASExMB1BGHBw4coGTJkrRv316PLRSi4NBoNDx79ozTp08DOYPaUlNT+eKLL+jevTuDBw/G19eXo0ePUqhQIQYMGMDJkye5fv16nmM4Ozuj1WoZP368uszLy4v69evrpV9CPzQaDWlpaer/DQ0N+fnnnxk9ejQTJ05k9erVxMfHq4XHHz9+rMaNcu+T2rVrh5OTE3PmzOH58+cAzJ07lylTprw0s1u8Gbk1EJ49e5Yn73lcXBwRERHqd3erVq1o27YtGo1GnUmfez89ePBgFEXh+++/VwPwc+fOZciQIVLv8C+Su6B/IeX/i+hBTtG848ePv/QLf/r0aTZs2MD8+fMZOXIkK1euxMTEhNDQUPUPacCAAbi7u3PixAk2bNjAnTt31MKiBw8epHfv3vncs3dX7oeWs7Mzffr0UadGRUREAEgQLx81btyYRYsWUbt2bbp27Yqfnx9Tpkxh586dTJkyhezsbAwNDVm3bh0ffPABjx8/ZujQoaxcuVK+WPRo9uzZjB49GgMDA+7evcuyZctwd3endu3anDlzBktLS/UCrmXLltSsWZOdO3dy//59BgwYwIgRIzhx4gRLlixh7dq1+Pj4sGjRIklPJd55J06cQKvVsn37doKCgggMDFRvoDIzM4mPj1evKUqWLElAQACVK1emZ8+eZGdns3fvXjIyMnj+/DmPHj3i4cOHeu6R+F81a9aMmjVr4uTkRKdOnahevTq1a9cmMDCQrl274u/vz8cff8yHH37IrFmziIyMpHv37vputshnWq2WXr16sXTpUiZMmMDZs2e5desWS5cuZdq0aXh6emJlZSXFB4XIB+np6cyaNYtp06aRmZnJ06dPGT16NImJiQQGBjJ37lysra0ZNWoUCQkJeHl5UbduXRYuXEhGRoZ6nBIlStC+fXt69epFVlaW/P0WUJs3b1aLvWdnZ7N69Wo6deqEqakpxYsX5+jRowwePBjICbKamZkRHh7Ob7/9pu4DOSPVL1++rI5ilhhG/lu3bh19+/ZFo9GQmprKmDFj6Nq1KzNmzKBv3774+/sDMGjQIDIzM4mIiCAtLQ2NRkN2djZFixZl+PDhLFu2jOjoaCBnVkGDBg302a1/FZmb+S+U+wQqPj6eypUrq38oqamp6jTLc+fOYWNjg7OzM0WKFMHJyYkpU6bg6+tLZGQk5cuXx9ramt69e5OSkkJgYCAnT56kadOmAJL/6A1q3LgxFStW5MKFCzKiR0+0Wi1arfal5YqikJaWhpGREfb29tjb2+uhdeJFOp0OQ0NDmjVrRvfu3Rk6dCgHDx6kU6dOAHh5eXH+/HmioqLIzs7GwMCAEiVK0LRpU27dusXatWsZM2YM3t7eeHt7c/fuXcqVK6fnXgnx5v3888+MHTuWq1evYm5uzvLly3FyclJvhOrWrcv777/Pjh07aNiwIVZWVurfUG6+bBsbG37++WcA2rRpg6OjozpyXfx7GBsb069fP/z8/AgODsbb2xtFUShWrBhdunTByspKHe0o1yUF25gxYyhRogRbt27F19eXYsWKATkPsj/44AP9Nk6IAsTU1BQDAwOsra0xNjbm2rVrXLt2jW3btmFpacnJkyc5ePAg1tbWJCYmYmVlpQbTDh06RKtWrdRj1a9fX2YVFXCKopCUlMRvv/1G0aJFOXbsGNOnT6dNmzZAzmzFgIAADh8+TJMmTejXrx8BAQE0aNCAVq1aYWBggKIouLi4EBERQaFChfTco4IrOzubpKQkkpOTWbVqFXFxcaxZs4ayZcty7NgxRowYQe3atfHw8KBVq1b88MMP1K1bl/r166szST/55BOSk5OlnsnfJCPR/4Wys7MJCAigVatWrF69GoA1a9YwadIktZheRkYG6enpmJubq3mv3N3dcXBwYNOmTdy8eVM93rBhw1i6dCmTJk3SR3cKpIoVK8qN6lsmLS2NI0eOULNmTUnb8pZQFEUd4XD//n0URSEiIoK1a9cybdo0IOfJebNmzUhOTmbXrl3qvm5ubri6unLgwAHOnDmjLpcAuigIFixYQNu2balTpw4HDhzA2tqa/fv3k5iYmCcVS58+fThx4gR79uzh6dOn6k2SgYEB169f5+nTp7Ru3RoTExPef/99yaH6L+bg4ICDgwOnTp0iKioKjUaj5kHVarVMmDABS0tLPbdSvA0GDBjA1q1b2b59O7Nnz2bXrl0SQBcin+TetwM0atSIS5cukZKSQlJSEk5OTty7d4/evXvzxRdf0K1bN0JCQrC1tSUrK4tatWrRpk0bJk6cqBYEh//MiBbvtlflxs5lamoK5MSI4uLiuHnzJlqtljNnztCyZUt27tzJ3Llz1fpfHTt2pGLFimzZskUdrZz7eyQB9Dfvz95LMzMzsrOzuX37Nlu3bmXixIlUq1aNM2fOEBgYSPny5dWBtcOHDycjI4ODBw+q+c5z6yf2799f0vD8TRJEf8u9aspVamoq+/btw9TUlB9//JH79+9jbm7OzZs3OXbsGJAzdTcmJoZTp06po8ogp3BQTEyMesOcy8PDI386JMRbJC4ujh07dhAcHEy7du04fvw4I0aMkLQtepZ786DRaIiKiqJv375EREQwcuRI0tPT1YeFuZ9rrVu3xsbGhj179qi54IyMjPDw8ODDDz/E2tpaPx0RIp/l3jSXL1+eXbt2MXHiRCpUqEDnzp05dOgQFy5cAFAD6e3bt6ddu3bMmzePyZMnc/ToUU6cOMH06dP59NNPKV26tNTqeEdoNBr69etHVlYWq1atApCbJ/GHLCwsKFmyJDVr1tR3U4R4p+l0OtasWaPmn4b/pMiwsLDAxsaGO3fuYG5uzp49e/j0008pU6YM27dvZ+DAgZiamnLp0iV1IMmoUaP4/PPPsbCw0Et/hP4YGBiQmJioplrJzs5WY0mNGzcmPj6ee/fuodPpqFixIj169GDo0KG0adOGkJAQvLy8ePr0KT/++COQ80A1OTkZY2NjvfWpoDIwMODRo0ckJCQAeQuINm7cmLi4OJ48eUK9evWIjo7G29ubMWPG0KZNG3bu3ImzszPPnz+nSJEidOnShc2bN3Pt2jVAHqq9DpLO5S2WO636RTqdDgsLC+rVq8epU6fQ6XRs2rSJESNGcOzYMY4cOYKLiwv29va0aNGCr776im3btlG0aFEyMzNJS0ujRo0apKSkSGEwUeDdunWL9evXY2BgQM+ePdVccUK/DA0Nefr0KTdv3iQ4OJhq1arh7e1NiRIlSEpKYv78+TRq1Ahra2sURaFMmTJotVo2b97Mli1bGDRoEABOTk44OTnpuTdCvHknT55k2bJlANjb29OhQweqVatGRkYGJiYm9O7dm927d7N3717s7e0pV66ceo0xffp0KlasSEhICBEREZQsWZIiRYqwcuVK6tatq+eeidepdOnSeHp6YmRkpI5EEkIIoT/x8fEsXbqUwoUL89VXX+WZ8VWhQgUePnxIcnIy7u7uuLi4kJmZyYQJEzA3N1f337RpE5UqVSItLY1SpUrRo0cPPfVG6NPNmzcZOXIkJiYmBAUFqbPLFEUhPT0dOzs7oqKi6NixI1lZWTx//pwVK1ZQu3ZtNUC7d+9eLl++jK2tLW5ubri5uemzSwVWQkICPXv2pGjRoqxcuVL9e1cUhaysLGrXrs2RI0eIj49n/PjxNGvWjF27dmFlZQXA1atXOXToEJ9//jm9evWiePHiuLu767NL7xSJor7FDAwM+PXXXwkMDOTixYtAzh+OoihUrlyZxo0bY2VlRUREBFevXqVfv37cvXuXffv2YWxszJgxYyhUqBCdOnXC19eXDh06kJiYSEBAAFOnTqVw4cJ67qEQ+qXVapk5cybr16+XALoevWrK2rhx4xg4cCDx8fEMGTKE4sWLAznFbnJH7byoZcuWWFtbc+TIEbUIjhDvugcPHtCnTx+GDRtGrVq1qFevHtu3b2fBggWkpKRgYmKipuwYOnQoZ8+e5dSpU2oAPSsrC2NjY4YMGUJYWBi7d+9m/vz5bNy4UQLo76g+ffrQs2dPCaALIYSeZWdnU65cOTZs2ICbmxujR48mKChIHT1cvnx5KlSowKlTpwAYMWIEN27c4IsvvmDFihWsWrWKzp07c//+fVq3bi01zQq46tWrM378eJ49e4a3tzd79+4FckYelytXjszMTBISEihcuDCtW7cmKyuLAwcOEBcXx4MHD/juu+9YvHgxtra2ano/oR9WVlZMmzaNxMREBg8ezMGDB4Gc97JMmTIkJydTvXp1GjZsSJkyZejQoYMaQH/8+DGhoaHExcWpI9k/+ugjvfXlXSQj0d9iycnJ9O/fn5iYGLZu3Yq/vz/VqlXDyMiI9PR0EhISGD9+PF9++SUbN25kxowZNGzYkBMnTuDk5ETDhg1ZuXIlR44c4dy5c7Rs2ZKhQ4fqu1tCvFWqVq2q7yYUWLnB81fNihkxYgQXL14kIyMDMzOzPBXFR4wYwfTp02nSpAl169YlJCQEBwcHvvzyS0xMTChVqlR+d0WIfBcTE0PPnj0xMzPj0KFD6oOmlJQUtm/fzs8//4yTk5M6DdfDwwNHR0d27dqFg4MDdnZ2GBn95zIwd8RSbiFB8W6S4LkQQuSf388sf3EWUO7ySpUqMXXqVExNTVm3bh23bt1i/PjxFC5cmIoVK5Kamsrz58+pV68e/v7+7Nmzh4iICJKTkxk2bBidOnXSS9/E2yP396pRo0asWLGCWbNmMWnSJHQ6HR4eHlhYWFCnTh0iIiIA6N27NwCrV6/m4MGD6qCKWbNmUb9+fT32RORydnZm2bJlzJ07l/Hjx6PT6XBzc8Pc3JyaNWty/PhxvvvuO65cucLkyZOpX78+NjY2hIWFUbp0aaZPn64G1sXrpVHkEdNbbcmSJURERJCQkICdnR3ly5fH19eX2NhYPv30U3bu3MmePXsICQnBx8cHBwcHhg8fTu3atRk2bBhFixYFXp0aRggh8svvUwe8+DoqKorg4GAsLS354IMPsLe3p3DhwsyePZtDhw4xZcoUGjVqlOd4n332GQkJCaSlpaEoCgEBAdSpUydf+ySEPrz4t/PFF1+QmpqKj48PtWvXBmD8+PGEhoayd+9eKleurBYpMzIyIjo6mgEDBtClSxd69OghM9KEEEKIfPDgwQNsbGzyLMv9PtfpdBgaGpKWlsaZM2fw9fWlYcOGfPXVV3z//fecO3eO4ODgPPs+e/ZMvsPFS3JjPsnJySxZsoRdu3bRvHlzJk6cyNKlSzl27Bhz586lbNmyQM7v5ePHj0lKSqJBgwZ6br14laSkJPz9/QkPD6dFixaMGzeOBQsWcPbsWVauXMmTJ0/YvXs3N2/e5NGjR3h6esqDtTdMRqK/5bp168bVq1cpXrw4LVq0wM/PD1NTU2rVqoWrq6s6fevEiRNs27aNRo0a0aJFC9avX49Wq6Vhw4bAq0d6CiFEftFoNDx//pyzZ8/i7u5OVlYWRkZG+Pv7s2LFCpo1a8aVK1fYt28f9erVY8aMGQwZMoTw8HDCw8Oxs7OjRIkS6n6LFi3i6NGj6HQ62rdvr+/uCfHG/fbbbxQrVgxFUdTR5T169ODrr7/mxIkTpKWlMXPmTKKioqhRowbXr1+nTJkyFCpUCCMjI3Q6HVWrVkWr1bJ+/Xrc3NyoVauWnnslhBBCvLuSk5Pp06cPLVq0YNCgQaxZswZDQ0M+++wz9YF4biHRQoUK4eHhwTfffKOmmmzdujW//voriYmJlChRQg28SwC9YMp94PJHcmM+lpaWjBkzhlKlSqkpgiwtLXn48KE6cxHAxsbmpYc74u1SvHhxJk2aRJkyZVi5ciUajQYDAwMSEhLQaDRYWVmpMwtE/pCR6P8Cu3fvZs2aNfj4+FCiRAlWrFhBUlIS165dIzAwkAYNGrBr1y6WL19OmzZt6N27NxcuXJCniUKIt0Z2djarV69mzpw5nD17FgsLC2JiYhg5ciT9+/endevWpKamsm/fPqZMmcK3336Lp6cn69atY82aNYwdOxZPT0/1WPJgUBQUiYmJzJgxg5iYGHQ6HYULF6Zfv354eHhgZGTEnDlz2LVrF8nJyfTt2xetVsuTJ0/4+uuvKVu2LB06dMiTCzEtLY3jx4/TvHlzPfZKCCGEeLflBrznzJnD4cOHyczM5PHjx0yePBkvL68/3ffx48eMGjWK48ePY2RkxNatW7Gzs8unlou30Yv3P9HR0VhYWGBtbf2n2yqKwuXLlxk1ahQmJiZER0ezbt06XFxc8rPp4h/I/RxRFIWzZ88yYcIEDA0NiYmJITg4GEdHR303scCRKMS/QPPmzSlbtiwbNmygSpUqTJgwQc2PlltAr23bttSoUYNSpUphYmIiAXQhhN68qlCogYEBzZo1w97ensmTJwPw8OFDrl+/joODAwBFihShefPmeHl58c033wA5I21Lly7Npk2biImJUY8lREGwc+dOWrVqRVpaGkOHDqVTp07odDq+/PJL5s2bB0CvXr0oW7YsHh4e9OnTBwcHB9zc3FixYgXu7u5MnDiRoUOHEh8fD4CZmZkE0IUQQog3JPc6OLewd0ZGBjExMRQtWpRdu3bh5eX1ymvlXIqiUKxYMebOncsXX3zBtGnTJIAuMDAwICoqik6dOjFixAi6devG7NmzuXPnDgBZWVl5toWc3yVHR0fmzp2Lra0t7733now8/5fJnbGiKAr169dn1qxZVK9enapVq0rOcz2Rkej/EleuXGH69OlotVq8vb1RFIW4uDgqVqyoPp3KyMjAxMRE300VQgju3r3L8ePHcXFxUYu36nQ69uzZw6hRowgNDUVRFEaPHs3o0aPx8PBQ9z148CDffPMN33zzDTVq1ODw4cMsWbKEb7/9lnLlyumrS0Lkq+fPnzNw4EAaNWqEt7e3ujwxMZFFixaxfv16Vq5ciZubG+vWrSMsLIxu3bqpeRBzrw22bNnC9evXGTJkCCVLltRXd4QQQoh32h+l2jh9+jSXLl0iLCyMUaNG0axZMz20Tvzb/L6e1K1bt/jiiy9wcnLCx8eHa9eusXHjRpKTk9m0adN/PV56ejqmpqZvsskinzx//pxChQrpuxkFlgzn+5dwcHCgTp06nDp1iuvXr6PRaKhYsSLZ2dnqh6sE0IUQb4Pc/I9TpkxhwIABhIeH8/jxYwwNDXFzc8PNzY3p06djb2+PsbExZ86cISkpSd3/yZMnJCcnU6pUKQCaNGnCpk2bJIAu3nkPHjwgJSUFgL1793LhwoU8Of+zs7MpUaIEnTt3pmbNmsyfPx+Arl27YmVlxfHjx7l9+zbwnxFJn3zyCZMmTZIAuhBCCPEa5I5B/P1YxNwA+t69e5k0aRKLFy/m1q1bNGzYkMGDB1OiRAl27txJbGws8OqZm0LodDqAPAF0gJMnT1K4cGGmTp2KjY0Nd+7c4ezZs1hbW6vXjn9GAujvDgmg65cE0f8lNBoNffv2JSsri6CgIHW5pDUQQrxtLC0t+fjjj3FwcMDU1JSVK1fi4+PDnTt3KFGiBN7e3ly6dIlTp04xaNAgwsPDWb16NY8fPyYxMZHIyEhcXV2xtLTUd1eEyBfZ2dkEBATQsmVLNm7cCOQUEjU3N8fMzAzIuVnP/c6vVq0arVu35ubNm1y8eBFjY2O6du1KTEwM27ZtA1CLj/7+JkwIIYQQf9/vv1dzg54pKSl4e3szZcoUAIKDg/niiy/UUcKDBw/m0qVLREREkJmZmec+PvcYomBTFEV9GHPixAk2bNigBsgTEhJo1qwZR48epVmzZmzZsoU5c+bg7++PhYWFPpstRIFipO8GiL+uTJkyeHp6YmRk9NL0HiGEeJt069aNH3/8kffee4/+/fszY8YMvL298fLy4uOPP2bAgAGMHTuWEydO8PDhQxYtWkR4eDhJSUkUK1aMb7/9VkZMiAIjt6iuiYkJV65c4ddff8Xc3Jz09HR++eUXateurX7n5xaLqlatGtnZ2epItiZNmrB3716srKyk+K4QQgjxBi1btowff/wRf39/9fv57NmzPHjwgA0bNlC1alXu37/PunXrmDVrFq1bt8bDwwNnZ2d27NhBuXLleP/995k3bx5z5sx5ZRoYUfBoNBru3bvHmDFjiI6OplmzZtStW1fNiT937lxKlSpFjx496NmzJ2ZmZmRlZREeHo6lpSWurq567oEQ7z65w/qX6dOnDz179pQAuhDirVa0aFFat27N7du3iY+PZ926dQwePJgtW7bg6+uLhYUFGRkZrFy5kl69erF+/Xp8fX2ZOnUqu3btonr16vrughD5QqfTYWFhQd26dbG0tESn07F161Y+/PBDAA4dOkRaWhqQNz+miYkJWVlZFC1aVD3W9OnT6dGjhwTQhRBCiNfgVeXjsrOzKV68OAcOHOCnn35Sv3OvXr3K06dP1VpAZcqU4bPPPqNcuXLMnTsXAF9fX3Q6HTNmzKBVq1Y8ePCAjIyMV55HvPteNQPh22+/pXDhwuzevZuxY8eqAfRBgwZRuHBh2rdvz6BBg9SZipcuXWL79u2kpKTI75EQ+UBGov/LSPBcCPFv0axZM/bv38/GjRuxt7enffv22NnZsXXrVlavXs2TJ0+YO3cuHTp04P333+f999/Xd5OFeON+/fVXtm/fTqNGjXByckJRFBRFoUqVKhgaGpKVlcW5c+dwcHCgZ8+erF27ljp16qDVavNcA+zcuZM2bdrk+buR2ihCCCHE65P7vfv48WMsLS3RaDQYGBjQtGlTDh06xMSJEwkNDQVycqKXLl2a2NhYKlasCOQE0ps1a8aFCxdISUmhQoUKfPvtt1y/fp333ntPDbiLgiV3xmDuDISNGzdSrVo1SpcuzZEjR5g/fz7FixdXt88dNOHt7c2qVauIjY1Fq9Vy9epVwsLCaN++PY0bN5ZYkRD5QIYqCSGEeCOMjY3p27cvycnJhISEAGBnZ8dXX33FjBkzcHZ2xtHREUNDQxk5IQqE5ORk+vfvj7+/PyNHjuTq1atkZWWh0WhIT08nISGBwYMHo9FoCA8Pp0uXLlSuXJlx48bh7+/PhQsXuHbtGsOGDeP06dN5io4KIYQQ4vVKSUlh2LBhdOvWjQ0bNqjLixcvTp8+fbh58yZhYWEA2Nra8ujRIyIjI9XtNBoNsbGxGBkZYW5uDuQE1rVarQTQC7Dc2QsJCQlMmzaNVatWkZ6eTmpqKpDzOwL/GaluZJQz9nXgwIGMGzeO9PR09uzZw82bN1m+fDkTJ06UYpNC5BMZiS6EEOKNcXBwwMHBgYiICLRaLXZ2diiKgoeHBw0bNpSRs6JAsbS0pH379kRERJCQkEBQUBDly5fH19eXli1bsnbtWgoVKkSLFi0ICwvj+vXrLF26lMWLF7Nq1Sr27NlDRkaGOqOjZMmS+u6SEEII8c6Kj4/nzp07xMXFMXPmTC5dukTHjh1p2LAh9erV45NPPmHWrFl06NABT09P9uzZQ0hICBqNhrZt23Lv3j3u3r2Lp6enjBIu4HQ6HYaGhuh0OhRFYdGiRfzyyy9kZmayatUqKlSowOXLl6lQoQIHDhygWrVqGBoaqrVvfv75Z8qVK0e7du1o164dKSkpUlBUCD2QkehCCCHeGI1GQ9++fcnKymLVqlXqMpDUE6Jg6tatG+bm5lSvXp0WLVqwfft2Fi1aRExMDK6urty/f582bdpgbW3Ntm3byM7OZtKkSezdu5dly5YRFBREYGCgBNCFEEKIN+z999/nk08+oXHjxnh5eVG8eHF8fHz47rvvSEtLo2fPnhQpUgQ/Pz8Ahg4diqOjI1999RW9e/emY8eOWFtb07VrVz33ROhbbuoWnU6HkZERqamphIeH8/z5cypUqABAnTp1sLOz4/Tp05w+fRrIGbV+69YtFi9ezK+//qoeTwLoQuiHRpE59EIIId6wVatWYWRkRI8ePWQkjijwdu/ezZo1a/Dx8aFEiRKsWLGCpKQkrl27RmBgIA0aNGDXrl2sXLmSDz74AF9fX303WQghhCiQ4uPjmT17Ns+ePeObb75h//79rFq1isKFC9O5c2cyMzP5+uuvOXr0KNbW1gBcuXKFX3/9lQoVKuDg4KDnHgh9eLEYPMC9e/eYMmUK9vb2+Pr6kpSUxPDhw0lPT2fhwoWULl0agBs3brBo0SKOHTuGp6cnhQoVYu/evXh4eDB16lQ1LZAQQj9kJLoQQog3rk+fPvTs2VMC6EIAzZs3p2zZsmzYsIEqVaowYcIEKlasSGpqKr/99hsAbdu2xc7OjsqVK+u5tUIIIUTBVbp0abRaLY8ePWLr1q107NiRtWvXYm9vz7fffsuRI0cwNDRk7ty56j61a9emdevWEkAvoH4fQAcoXLgwJUuW5OzZs9y5c4fixYvz0UcfkZGRQXh4uLqdra0tc+fOZciQIRQuXJjExET8/f355ptvJIAuxFtARqILIYQQQuSzK1euMH36dLRaLd7e3iiKQlxcHBUrVlRvvjIyMiTtkRBCCKFn6enpzJgxgzt37jBmzBhq1aqFoihEREQQFBTEsWPHADh69Cg2NjZ6bq14G6SmprJnzx7at2+PsbExAKdOnWLRokVUr16dSZMmATkpgLKysvD19cXW1pasrCy1kKgQ4u0jI9GFEEIIIfKZg4MDderU4dSpU1y/fh2NRkPFihXJzs6WugFCCCHEW8TU1JTWrVsDEBYWBuTU+GnYsCEBAQHMnz+fgwcPSgC9gNLpdC8tCwkJYenSpezYsUNd1qBBA+rXr8+lS5fUnOedO3fmt99+48CBAyiKIgF0Id5yEkQXQgghhMhnLxbdDQoKUpcbGMilmRBCCPG2adCgAc7Ozly/fp1Dhw4BOcFTExMTWrVqRfny5fXcQpHfFEUhOztbLRqalpamrmvWrBl16tRh//79PHz4EMi5xmvatClmZmZs3rwZgA8++ICqVaty6NAhbty4kf+dEEL8T+ROTQghhBBCD8qUKYOnp6c6LVwIIYQQb682bdqQlZVFeHg4Op1ODZ6Kd9+rrtM0Gg0GBgZcv36dQYMGMWLECGbNmkVcXBxlypShadOmJCUlERISou5Ts2ZNSpQoQWRkpDqrwcfHh6lTp2JnZ5dv/RFC/D2SE10IIYQQQk9eVXxKCCGEEG+n8+fPU7t2bTXPtXi3ZWdnq7MEdTod2dnZGBsbq9dvoaGh+Pn54eXlhZmZGadOneLZs2csXbqUChUqMH36dG7dusXEiROxs7MjPT2dMWPGcPPmTcqXL4+/vz+mpqZ67qUQ4q+SILoQQgghhBBCCCGEEK8QHBzM1atXad68OY0bN1YD60OHDqVUqVJMmTIFyAm0t2rVirp16zJ9+nR++uknFi5cyIMHDxg1ahTHjx8nOTmZTp064ejoKPVvhPiXkXQuQgghhBBCCCGEEEK84OTJk2i1Wr7//nvMzc3JysoiKysLgKdPn3LmzBkaNmwIQEZGBoaGhnz55Zfs37+fn3/+mTp16jB06FCsrKyYM2cOFy5cYNCgQdSvX18C6EL8C8lIdCFEvtNqtfTs2ZPevXvruylCCCGEEEIIIUQeZ86cYdq0aXh5edGrVy80Go0a+M4tKtq9e3cqV67MzJkzycrKwsjICAB3d3e8vb3p3r07kBNgT0hIoFy5cnrrjxDinzPSdwOEEAXP1q1bMTMz03czhBBCCCGEEEKIlxw9ehQrKyu6du36Ut7y3Ho2LVu2ZP369Vy9epVatWoB8Msvv2BsbEzx4sWBnIC7iYmJBNCFeAdIEF0I8ZdlZGS8lmlnJUqUeA2tEUIIIYQQQgghXr8bN25gaWlJ0aJFATh27Bi3b9/m/v37lCxZEi8vLz766CNOnjzJqFGjGD9+PJUqVSI4OJgiRYpQp04dACkgL8Q7RNK5CCH+UI8ePXj//fcxNDRkx44dVK9enYkTJzJnzhzOnz+PmZkZbm5ujBs3Tg2MP336lMmTJ3Po0CHMzc3p378/hw4dws7OjgkTJgAvp3O5d+8e06ZNIyIiAo1Gg7u7OxMnTqRUqVIA+Pv7c/DgQfr06cPChQtJTk7mgw8+YNq0aZibm+vlZyOEEEIIIYQQ4t104sQJ+vfvj4uLC3fv3sXExISyZcvy22+/8ezZM0xMTNizZw8JCQmMHDmS+Ph4MjIyKFKkCLNmzaJ27dr67oIQ4jWTkehCiD8VFhZGt27d2LhxIykpKfTq1YtOnToxbtw40tPTmTdvHiNGjGDt2rUAzJo1i4sXL7J48WJKlizJwoUL+emnn7Czs3vl8bOzs/Hx8aFw4cKsW7cOnU7H1KlT8fX1Zd26dep2sbGxHDp0iCVLlvDkyRNGjBjB8uXL8fX1zZefgxBCCCGEEEKIgqFx48YsWrSI8+fP4+7ujrOzM6VKlaJixYqcPXsWX19ftm3bRvv27Vm+fDnJycncv38fR0dHfTddCPGGSBBdCPGnKlWqxOjRowFYtGgRNWrUYOTIkep6Pz8/PDw8uHPnDlZWVmzbto158+apVcpnzpyJu7v7Hx7/9OnT3Lx5k0OHDlGmTBkA5syZQ5s2bbhy5Yr6BF9RFGbOnKmOPP/oo484ffq0BNGFEEK8FXr06JFn1pV4vXJnpW3fvv0Pt5H3QAghxOuk1WrRarUvLc/OziYzM1PNe25sbIyNjQ02Njb53UQhRD6SILoQ4k/VrFlT/X9UVBSRkZE4OTm9tF1sbCzp6elkZmbmmbpmYWFB5cqV//D40dHRlC5dWg2gA1SrVo2iRYty+/Zt9VjlypXLk7rF2tqaR48e/aO+CSGEEOLd4e/vj5GR3N4IIYR4c9LS0jhy5Ag1a9ZUi4kaGhrquVVCiPwgV5lCiD9lZmam/v/Zs2c0adKEL7/88qXtrKysiI2NfWPteNVNsZR0EEIIIf79dDodGo0GAwODf3ScYsWKvZ4GCSGEEC+Ii4vj4sWLPHv2jFWrVmFiYoKfnx8lS5bUd9OEEPnon12pCiEKlJo1a3Lr1i3KlSvHe++9l+df4cKFKV++PMbGxvz444/qPikpKcTExPzhMatWrUp8fDz3799Xl/388888efKEqlWrvsnuCCGEEK+VoijMmTOH+vXr4+bmhr+/v7ru3r17DB48GCcnJ+rWrcvnn3/Ob7/9pq739/enXbt2bN26lQ8//BAnJyemTJmCTqdj+fLluLm50bBhQxYvXpznnE+ePGHChAk0aNCAunXr0rNnT6KiovJss2HDBjw9PalVqxYtWrRg27Zt6rrZs2czaNAg9fXq1auxtbXl2LFj6rJmzZqxZcsWAMaOHYuPjw8rV66kcePGuLq6MnXqVDIzM9XtMzIymD17Nu7u7jg6OtKpUyciIyPV9aGhoTg7O3Po0CFat26Ng4MD9+7dIzIykk8++QRHR0ecnZ3p2rUrd+/ezdOXbdu2odVqqVevHr6+vjx9+lRd16NHD2bMmKG+1mq1BAYGMnLkSBwdHXF3d+f777//8zdRCCGE+J1bt26xfv16tm3bRs+ePdm1a5cUDhWiAJIguhDiL/v0009JTk5m5MiRXLlyhdjYWI4fP864cePQ6XSYm5vTvn175syZQ0REBLdu3WLChAloNBo0Gs0rj9moUSOqV6/Ol19+yU8//cSVK1cYPXo09evXx8HBIZ97KIQQQvx9YWFhFC5cmM2bNzNq1CgCAwM5efKkWkQ7OTmZdevWERQURFxc3Et1PWJjYzl27BgrVqzgm2++YevWrQwcOJAHDx6wbt06vvzyS7777jsuX76s7vP555/z6NEjli9fTmhoKDVr1qRXr148fvwYgAMHDuDn50efPn3YuXMnXbt2Zfz48URERADg4uLC+fPn0el0AJw9e5bixYtz5swZAB48eEBsbCz169dXzxkZGUlsbCxr1qxh1qxZhIWFERYWpq7/+uuvuXjxIvPnz2fHjh20bNmS/v3753mo/vz5c5YvX8706dPZtWsXxYoVY8iQIbi4uLBjxw42bdpEly5d8lw/vFhkfOnSpZw9e5bly5f/6XuycuVK7OzsCAsLY+DAgcyYMYOTJ0/+D++qEEKIgk6r1TJz5kzWr1/PZ599pu/mCCH0RNK5CCH+MhsbGzZu3Mi8efPo168fGRkZlC1bFnd3d3UK9tixY5k8eTLe3t6Ym5vTv39/7t+/j6mp6SuPqdFoWLRoEdOmTeOzzz5Do9Hg7u7OxIkT87NrQgghxD9ma2vL0KFDgZzC3OvXr+f06dMAf7mItp+fH+bm5lSrVg1XV1fu3LnD8uXLMTAwoEqVKixfvpzIyEjq1KnDuXPnuHLlCqdPn8bExASAMWPGcPDgQfbt20eXLl1YuXIlHTp0oHv37gBUrlyZS5cusWrVKho0aICzszOpqalcu3aNWrVqce7cOfr168fBgweBnIC5jY0N7733ntpPS0tLJk2ahKGhIVWrVsXDw4PTp0/TuXNn7t27R2hoKIcPH1YLrPXr14/jx48TGhqqFifPzMxkypQp2NnZAfD48WNSUlJo0qQJFStWBHhpRtrfKTJet25dBg4cqPb9woULrF69Gjc3t//9DRZCCFFgySxpIYQE0YUQf2jdunUvLatUqRIBAQF/uI+5uTnffPON+vrZs2cEBATQuXNndVl4eHiefcqWLfvS9PQXDRs2jGHDhuVZ1rt3b3r37v3fuiCEEELkG1tb2zyvraysePTo0d8uol2qVCkMDQ3z5AovVaqUWlj7xo0bPHv2DFdX1zznff78uVqn5Pbt23Tp0iXP+rp167J27VoAihYtip2dHWfOnMHY2BhjY2M6d+7MwoULSU1N5ezZs7i4uOTZv1q1anmKqFlZWXHz5k0g52GBTqejZcuWefbJyMjIk7Pc2Ng4z8+rWLFidOzYkX79+qmpa1q1aoW1tbW6zd8pMu7o6PjS6zVr1vzpPkIIIYQQQvyeBNGFEK/VtWvX1IBASkoKgYGBADRt2lTPLRNCCCHerN8XwdZoNP9TEexX7f+qZdnZ2QCkpqZiZWX1yofeFhYWf/m89evX58yZM5iYmODi4kKxYsWoWrUq58+f58yZM/Tt2/e/tjO3n8+ePcPQ0JCQkJA8gXaAwoULq/8vVKjQS6neZs6cSY8ePTh+/Dh79+7lu+++IygoSA2ES5FxIYQQQgihLxJEF0K8dqtWreLOnTsYGxtTs2ZNvv/+e0qUKKHvZgkhhBB68WIR7dzR6K+jiHbNmjX57bffMDQ0pHz58q/cpkqVKly4cIEOHTqoyy5cuEC1atXU1y4uLmrQ293dHcgJrO/evZuYmJg8+dD/G3t7e3Q6HYmJiTg7O//PfapRowY1atRg0KBBdOnShV27dr00mvx/8WL++NzXMiVfCCGEEEL8rySILoR4rWrUqEFoaKi+myGEEEK8NV4soj1+/Hh0Oh1Tpkz5x0W0GzVqhKOjI0OGDGHUqFFUqlSJhw8fcvToUTw9PXFwcKB///6MGDECe3t7GjVqxOHDhzlw4ABBQUHqcVxcXEhNTeXIkSN88cUXALi6ujJ8+HCsrKyoXLnyX25T5cqV8fLyYvTo0YwdOxZ7e3uSkpI4ffo0tra2fPjhh6/cLy4ujs2bN6PVarG2tubOnTvExMTQrl27v/3zgZwHBsuXL8fT05NTp07xww8/sHTp0n90TCGEEEIIUfBIEF0IIYQQQog36E0V0dZoNCxbtozvvvuOcePGkZSURKlSpXB2dqZUqVIAeHp6Mn78eFatWoWfnx/lypXDz88vTx51S0tLqlevzqNHj9RR2s7OzmRnZ/9Po9BzzZw5k8WLFzNr1iwePnxIsWLFcHR0/MMAOoCZmRm3b98mLCyMx48fY21tTffu3enatev/fP4X9enTh6tXrxIYGIi5uTljx45VR9sLIYQQQgjxV2kUSSQohBBCCCGEeMdotVp69uwphciFEEIIIcQ/ZqDvBgghhBBCCCGEEEIIIYQQbysJogshhBBCCCGEEEII8RpERkZia2vLkydP1GUHDx6kWbNm2NvbM2PGDEJDQ/9WAe7fs7W15eDBg/91u19//RVbW1uuX7/+j88pREEl6VyEEEIIIYQQQgghhHgNMjIySE5OplSpUmg0GiCnGHjHjh3p0aMHRYoUwcjIiNTUVEqWLPmPzmVra0tgYCCenp5/up1OpyMxMZHixYtjZCTlEYX4O+QvRwghhBBCCCGEEEKIfygzMxMTExOsrKzUZampqTx69IjGjRtjY2OjLi9UqFC+tcvQ0DBPm4QQ/ztJ5yKEEEIIIYQQQgghCpRNmzbRuHFjsrOz8ywfPHgw48aNA3LSsHTo0AEHBweaNm1KQEAAWVlZ6ra2trZs2LABb29vHB0dWbJkSZ50LpGRkdStWxeAXr16YWtrS2Rk5CvTufy3c8XExNC9e3ccHBxo3bo1J0+e/Mt9/X06l9w2nj59mo4dO1KnTh26du3K7du38+wXHh7Oxx9/jIODA66urgwZMkRdl5yczOjRo3FxcaFOnTr079+fmJgYdX1uHw8fPkyLFi2oU6cOw4cPJy0tjbCwMLRaLS4uLkyfPh2dTqful5GRwezZs3F3d8fR0ZFOnToRGRn5l/sqxJsiQXQhhBBCCCGEEEIIUaC0bNmSx48f5wnQPn78mOPHj/PRRx9x7tw5xowZQ8+ePdmzZw9ff/01oaGhLFmyJM9xAgICaNasGTt37uTjjz/Os87JyYkffvgBAH9/f06cOIGTk9NLbflv58rOzmbYsGEYGxuzZcsWpk6dyrx58/7xz2D+/PmMHTuWkJAQDA0NGT9+vLruyJEjDB06FA8PD7Zt28aaNWuoXbu2un7s2LFcvXqVxYsXs2nTJhRFYeDAgWRmZqrbPH/+nHXr1jF//nxWrFhBZGQkQ4cO5ejRoyxbtow5c+YQHBzMvn371H2+/vprLl68yPz589mxYwctW7Z8KUAvhD5IEF0IIYQQQgghhBBCFCiWlpZ88MEH7Ny5U122b98+ihcvjqurKwEBAQwcOJAOHTpQoUIF3Nzc+PzzzwkODs5znLZt2/Lxxx9ToUIFypYtm2ediYmJmvfc0tISKysrTExMXmrLfzvXqVOnuH37NrNnz8bOzg4XFxd8fX3/8c/A19eX+vXrU61aNQYOHMjFixdJT08HYMmSJbRu3Zrhw4dTtWpV7OzsGDRoEJAzKj48PJzp06fj7OyMnZ0d8+bN48GDB3kKnWZmZjJlyhRq1KiBi4sLLVq04Pz588yYMYNq1arRpEkTXF1diYiIAODevXuEhoayYMECnJ2dqVixIv369aNevXqEhob+4/4K8U9ITnQhhBBCCCGEEEIIUeB4eXkxceJEpkyZgomJCTt37qRNmzYYGBgQFRXFhQsX8ow81+l0pKenk5aWhpmZGQC1atX6x+34b+eKjo6mdOnSeXKqv2pE+//K1tZW/X9uzvRHjx5RtmxZrl+/TqdOnV65X3R0NEZGRtSpU0ddVrx4cSpXrkx0dLS6zMzMjIoVK6qvS5UqRbly5ShSpEieZYmJiQDcvHkTnU5Hy5Yt85wvIyODYsWK/f2OCvEaSBBdCCGEEEIIIYQQQhQ4Wq2Wr776iiNHjuDg4MC5c+fUfOjPnj1j2LBhNG/e/KX9TE1N1f8XLlz4H7fjr57rdTMy+k9YUKPRAKg54l9H4dMXj597jlctyz3ns2fPMDQ0VNPLvOh1/JyF+CckiC6EEEIIIYQQQgghChxTU1OaN2/Ozp07+eWXX6hcuTI1a9YEoEaNGty5c4f33nvvjbfjv52ratWqxMfH8/DhQ6ytrQG4dOnSG21T9erVOX369Et53nPbk5WVxeXLl9XCqUlJSdy5c4dq1ar97XPa29uj0+lITEx8qfCqEPomOdGFEEIIIYQQQgghRIHk5eXFkSNHCAkJwcvLS10+ZMgQtm/fTkBAALdu3SI6Oprdu3czf/78196G/3auRo0aUalSJcaOHUtUVBTnzp17I+140dChQ9m9ezcLFy4kOjqaGzdusGzZMgAqVapE06ZNmThxIufOnSMqKopRo0ZhY2ND06ZN//Y5K1eujJeXF6NHj2b//v3ExcVx5coVli5dypEjR15Tz4T4eySILoQQQgghhBBCCCEKpAYNGmBpacmdO3fyBNHd3d1ZsmQJJ06c4JNPPqFz586sXr2acuXKvfY2/LdzGRgYEBAQwPPnz/nkk0+YMGHCayks+mdcXV1ZsGAB4eHhtGvXjl69evHjjz+q62fOnEnNmjXx9vamS5cuKIrCsmXLMDY2/kfnnTlzJu3bt2fWrFm0atUKHx8ffvzxR8qUKfNPuyTEP6JRFEXRdyOEEEIIIYQQQgghhBBCiLeRjEQXQgghhBBCCCGEEEIIIf6AFBYVQgghhBBCCCGEEOJfasmSJSxduvSV6+rVq8eKFSvyuUVCvHsknYsQQgghhBBCCCGEEP9Sjx8/Jjk5+ZXrChUqhI2NTT63SIh3jwTRhRBCCCGEEEIIIYQQQog/IDnRhRBCCCGEEEIIIYQQQog/IEF0IYQQQgghhBBCCCGEEOIPSBBdCCGEEEIIIYQQQgghhPgDEkQXQgghhBBCCCGEEEIIIf6ABNGFEEIIIYQQQgghhBBCiD8gQXQhhBBCCCGEEEIIIYQQ4g9IEF0IIYQQQgghhBBCCCGE+AMSRBdCCCGEEEIIIYQQQggh/sD/AWkan5IkV15SAAAAAElFTkSuQmCC\n"},"metadata":{}}],"source":["fig, axes = plt.subplots(1, 3, figsize=(15, 4))\n","for ax, col in zip(axes, [\"region\", \"homeownership\", \"verified_income\"]):\n","    rates = df.groupby(col)[\"default\"].mean().sort_values()\n","    rates.plot(kind=\"bar\", ax=ax, color=\"#C44E52\")\n","    ax.set_title(f\"Default rate by {col}\")\n","    ax.set_ylabel(\"Default rate\")\n","    ax.tick_params(axis=\"x\", rotation=30)\n","plt.tight_layout()\n","plt.savefig(\"../outputs/fig_bias_proxies_raw.png\", dpi=120)\n","plt.show()"]},{"cell_type":"markdown","id":"bacde4bf","metadata":{"id":"bacde4bf"},"source":["## 2. Model Development\n","\n","We split the data 80/20 (stratified on the target to preserve the ~1.8% positive rate in both\n","sets), then build a `ColumnTransformer` preprocessing pipeline (median imputation + standard\n","scaling for numeric features; most-frequent imputation + one-hot encoding for categoricals) wrapped\n","around each classifier. This keeps preprocessing fit strictly on training folds during\n","cross-validation, avoiding data leakage from the test set.\n","\n","Given the severe class imbalance (~1.8% positive), both models use `class_weight=\"balanced\"`, and\n","hyperparameters are tuned with 5-fold stratified cross-validation using **average precision\n","(PR-AUC)** as the scoring metric — a more informative choice than accuracy or ROC-AUC alone when\n","positives are this rare."]},{"cell_type":"code","execution_count":null,"id":"937b5958","metadata":{"execution":{"iopub.execute_input":"2026-07-17T03:16:49.995965Z","iopub.status.busy":"2026-07-17T03:16:49.995755Z","iopub.status.idle":"2026-07-17T03:16:50.020702Z","shell.execute_reply":"2026-07-17T03:16:50.019520Z"},"colab":{"base_uri":"https://localhost:8080/"},"id":"937b5958","executionInfo":{"status":"ok","timestamp":1784292391210,"user_tz":-60,"elapsed":42,"user":{"displayName":"Vivek nelapati","userId":"11760536282152039558"}},"outputId":"1943e06c-a5c7-4ebf-9967-47cde004d211"},"outputs":[{"output_type":"stream","name":"stdout","text":["36 numeric features, 7 categorical features\n","Train: 8000 rows (1.77% positive)\n","Test:  2000 rows (1.80% positive)\n"]}],"source":["y = df[\"default\"]\n","X = df.drop(columns=[\"default\"])\n","num_cols = X.select_dtypes(include=[np.number]).columns.tolist()\n","cat_cols = X.select_dtypes(include=[\"object\", \"string\"]).columns.tolist()\n","print(f\"{len(num_cols)} numeric features, {len(cat_cols)} categorical features\")\n","\n","X_train, X_test, y_train, y_test = train_test_split(\n","    X, y, test_size=0.2, stratify=y, random_state=RANDOM_STATE\n",")\n","print(f\"Train: {X_train.shape[0]} rows ({y_train.mean():.2%} positive)\")\n","print(f\"Test:  {X_test.shape[0]} rows ({y_test.mean():.2%} positive)\")\n","\n","preprocessor = ColumnTransformer([\n","    (\"num\", Pipeline([\n","        (\"imputer\", SimpleImputer(strategy=\"median\")),\n","        (\"scaler\", StandardScaler()),\n","    ]), num_cols),\n","    (\"cat\", Pipeline([\n","        (\"imputer\", SimpleImputer(strategy=\"most_frequent\")),\n","        (\"onehot\", OneHotEncoder(handle_unknown=\"ignore\")),\n","    ]), cat_cols),\n","])\n","\n","cv = StratifiedKFold(n_splits=5, shuffle=True, random_state=RANDOM_STATE)"]},{"cell_type":"markdown","id":"2821ae5b","metadata":{"id":"2821ae5b"},"source":["### 2.1 Logistic Regression (linear baseline)"]},{"cell_type":"code","execution_count":null,"id":"66385091","metadata":{"execution":{"iopub.execute_input":"2026-07-17T03:16:50.022842Z","iopub.status.busy":"2026-07-17T03:16:50.022616Z","iopub.status.idle":"2026-07-17T03:16:54.650966Z","shell.execute_reply":"2026-07-17T03:16:54.649712Z"},"colab":{"base_uri":"https://localhost:8080/"},"id":"66385091","executionInfo":{"status":"ok","timestamp":1784292407100,"user_tz":-60,"elapsed":12082,"user":{"displayName":"Vivek nelapati","userId":"11760536282152039558"}},"outputId":"b5e1d857-03ea-4735-db0f-d0bcef3b75a4"},"outputs":[{"output_type":"stream","name":"stdout","text":["Best params: {'clf__C': 10}\n","Best CV average precision: 0.02935308661347834\n"]}],"source":["logreg_pipe = Pipeline([\n","    (\"prep\", preprocessor),\n","    (\"clf\", LogisticRegression(max_iter=2000, class_weight=\"balanced\", random_state=RANDOM_STATE)),\n","])\n","logreg_grid = {\"clf__C\": [0.01, 0.1, 1, 10]}\n","logreg_search = GridSearchCV(logreg_pipe, logreg_grid, scoring=\"average_precision\", cv=cv, n_jobs=-1)\n","logreg_search.fit(X_train, y_train)\n","print(\"Best params:\", logreg_search.best_params_)\n","print(\"Best CV average precision:\", logreg_search.best_score_)"]},{"cell_type":"markdown","id":"b529bea1","metadata":{"id":"b529bea1"},"source":["### 2.2 Random Forest (non-linear ensemble)"]},{"cell_type":"code","execution_count":null,"id":"f116a6c2","metadata":{"execution":{"iopub.execute_input":"2026-07-17T03:16:54.653588Z","iopub.status.busy":"2026-07-17T03:16:54.652816Z","iopub.status.idle":"2026-07-17T03:19:04.670060Z","shell.execute_reply":"2026-07-17T03:19:04.668673Z"},"colab":{"base_uri":"https://localhost:8080/"},"id":"f116a6c2","executionInfo":{"status":"ok","timestamp":1784292586230,"user_tz":-60,"elapsed":174094,"user":{"displayName":"Vivek nelapati","userId":"11760536282152039558"}},"outputId":"01758bb9-8120-4966-e5b4-ad87513c71de"},"outputs":[{"output_type":"stream","name":"stdout","text":["Best params: {'clf__max_depth': None, 'clf__min_samples_leaf': 5, 'clf__n_estimators': 400}\n","Best CV average precision: 0.05249865153613277\n"]}],"source":["rf_pipe = Pipeline([\n","    (\"prep\", preprocessor),\n","    (\"clf\", RandomForestClassifier(class_weight=\"balanced\", random_state=RANDOM_STATE, n_jobs=-1)),\n","])\n","rf_grid = {\n","    \"clf__n_estimators\": [200, 400],\n","    \"clf__max_depth\": [4, 8, None],\n","    \"clf__min_samples_leaf\": [1, 5],\n","}\n","rf_search = GridSearchCV(rf_pipe, rf_grid, scoring=\"average_precision\", cv=cv, n_jobs=-1)\n","rf_search.fit(X_train, y_train)\n","print(\"Best params:\", rf_search.best_params_)\n","print(\"Best CV average precision:\", rf_search.best_score_)"]},{"cell_type":"markdown","id":"aa64d63f","metadata":{"id":"aa64d63f"},"source":["## 3. Model Evaluation and Comparison\n","\n","### 3.1 Choosing a decision threshold\n","\n","With only ~180 positive cases, the default 0.5 probability threshold is a poor choice — it makes\n","both models systematically under-predict the positive class. Instead, we pick an F1-optimal\n","threshold using **out-of-fold predictions on the training set only** (via `cross_val_predict`),\n","then apply that fixed threshold to the untouched test set. This avoids tuning the threshold on the\n","same data used to report final performance."]},{"cell_type":"code","execution_count":null,"id":"60889ae0","metadata":{"execution":{"iopub.execute_input":"2026-07-17T03:19:04.673168Z","iopub.status.busy":"2026-07-17T03:19:04.672283Z","iopub.status.idle":"2026-07-17T03:19:28.294765Z","shell.execute_reply":"2026-07-17T03:19:28.293527Z"},"colab":{"base_uri":"https://localhost:8080/","height":112},"id":"60889ae0","executionInfo":{"status":"ok","timestamp":1784292688854,"user_tz":-60,"elapsed":33857,"user":{"displayName":"Vivek nelapati","userId":"11760536282152039558"}},"outputId":"80e0028e-9557-421d-a04e-fdc79559c7e8"},"outputs":[{"output_type":"execute_result","data":{"text/plain":["                     threshold  accuracy  precision    recall        f1  \\\n","Logistic Regression   0.737053    0.9275   0.049587  0.166667  0.076433   \n","Random Forest         0.199675    0.9675   0.032258  0.027778  0.029851   \n","\n","                      roc_auc   pr_auc  \n","Logistic Regression  0.559063  0.03055  \n","Random Forest        0.662028  0.04040  "],"text/html":["\n","  <div id=\"df-8385dc7e-aa0d-480b-a385-ea2cfcfd500f\" class=\"colab-df-container\">\n","    <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>threshold</th>\n","      <th>accuracy</th>\n","      <th>precision</th>\n","      <th>recall</th>\n","      <th>f1</th>\n","      <th>roc_auc</th>\n","      <th>pr_auc</th>\n","    </tr>\n","  </thead>\n","  <tbody>\n","    <tr>\n","      <th>Logistic Regression</th>\n","      <td>0.737053</td>\n","      <td>0.9275</td>\n","      <td>0.049587</td>\n","      <td>0.166667</td>\n","      <td>0.076433</td>\n","      <td>0.559063</td>\n","      <td>0.03055</td>\n","    </tr>\n","    <tr>\n","      <th>Random Forest</th>\n","      <td>0.199675</td>\n","      <td>0.9675</td>\n","      <td>0.032258</td>\n","      <td>0.027778</td>\n","      <td>0.029851</td>\n","      <td>0.662028</td>\n","      <td>0.04040</td>\n","    </tr>\n","  </tbody>\n","</table>\n","</div>\n","    <div class=\"colab-df-buttons\">\n","\n","  <div class=\"colab-df-container\">\n","    <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-8385dc7e-aa0d-480b-a385-ea2cfcfd500f')\"\n","            title=\"Convert this dataframe to an interactive table.\"\n","            style=\"display:none;\">\n","\n","  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\" viewBox=\"0 -960 960 960\">\n","    <path d=\"M120-120v-720h720v720H120Zm60-500h600v-160H180v160Zm220 220h160v-160H400v160Zm0 220h160v-160H400v160ZM180-400h160v-160H180v160Zm440 0h160v-160H620v160ZM180-180h160v-160H180v160Zm440 0h160v-160H620v160Z\"/>\n","  </svg>\n","    </button>\n","\n","  <style>\n","    .colab-df-container {\n","      display:flex;\n","      gap: 12px;\n","    }\n","\n","    .colab-df-convert {\n","      background-color: #E8F0FE;\n","      border: none;\n","      border-radius: 50%;\n","      cursor: pointer;\n","      display: none;\n","      fill: #1967D2;\n","      height: 32px;\n","      padding: 0 0 0 0;\n","      width: 32px;\n","    }\n","\n","    .colab-df-convert:hover {\n","      background-color: #E2EBFA;\n","      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n","      fill: #174EA6;\n","    }\n","\n","    .colab-df-buttons div {\n","      margin-bottom: 4px;\n","    }\n","\n","    [theme=dark] .colab-df-convert {\n","      background-color: #3B4455;\n","      fill: #D2E3FC;\n","    }\n","\n","    [theme=dark] .colab-df-convert:hover {\n","      background-color: #434B5C;\n","      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n","      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n","      fill: #FFFFFF;\n","    }\n","  </style>\n","\n","    <script>\n","      const buttonEl =\n","        document.querySelector('#df-8385dc7e-aa0d-480b-a385-ea2cfcfd500f button.colab-df-convert');\n","      buttonEl.style.display =\n","        google.colab.kernel.accessAllowed ? 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oof_proba)\n","\n","    best_model.fit(X_train, y_train)\n","    test_proba = best_model.predict_proba(X_test)[:, 1]\n","    test_pred = (test_proba >= thresh).astype(int)\n","\n","    results[name] = {\n","        \"model\": best_model,\n","        \"threshold\": thresh,\n","        \"test_proba\": test_proba,\n","        \"test_pred\": test_pred,\n","        \"accuracy\": accuracy_score(y_test, test_pred),\n","        \"precision\": precision_score(y_test, test_pred),\n","        \"recall\": recall_score(y_test, test_pred),\n","        \"f1\": f1_score(y_test, test_pred),\n","        \"roc_auc\": roc_auc_score(y_test, test_proba),\n","        \"pr_auc\": average_precision_score(y_test, test_proba),\n","    }\n","\n","summary = pd.DataFrame({\n","    name: {k: v for k, v in r.items() if k not in (\"model\", \"test_proba\", \"test_pred\")}\n","    for name, r in results.items()\n","}).T\n","summary"]},{"cell_type":"markdown","id":"2e8c1a6c","metadata":{"id":"2e8c1a6c"},"source":["### 3.2 ROC and Precision-Recall curves"]},{"cell_type":"code","execution_count":null,"id":"071060a1","metadata":{"execution":{"iopub.execute_input":"2026-07-17T03:19:28.297744Z","iopub.status.busy":"2026-07-17T03:19:28.296913Z","iopub.status.idle":"2026-07-17T03:19:28.973798Z","shell.execute_reply":"2026-07-17T03:19:28.972414Z"},"colab":{"base_uri":"https://localhost:8080/","height":436},"id":"071060a1","executionInfo":{"status":"ok","timestamp":1784292768460,"user_tz":-60,"elapsed":1041,"user":{"displayName":"Vivek nelapati","userId":"11760536282152039558"}},"outputId":"ce59987e-8a85-4305-e337-ab9895abd042"},"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 1200x500 with 2 Axes>"],"image/png":"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\n"},"metadata":{}}],"source":["fig, axes = plt.subplots(1, 2, figsize=(12, 5))\n","for name, r in results.items():\n","    fpr, tpr, _ = roc_curve(y_test, r[\"test_proba\"])\n","    axes[0].plot(fpr, tpr, label=f\"{name} (AUC={r['roc_auc']:.3f})\")\n","    prec, rec, _ = precision_recall_curve(y_test, r[\"test_proba\"])\n","    axes[1].plot(rec, prec, label=f\"{name} (AP={r['pr_auc']:.3f})\")\n","\n","axes[0].plot([0, 1], [0, 1], \"k--\", alpha=0.4)\n","axes[0].set_xlabel(\"False Positive Rate\"); axes[0].set_ylabel(\"True Positive Rate\")\n","axes[0].set_title(\"ROC Curve\"); axes[0].legend()\n","\n","axes[1].axhline(y_test.mean(), color=\"k\", linestyle=\"--\", alpha=0.4, label=\"Baseline (prevalence)\")\n","axes[1].set_xlabel(\"Recall\"); axes[1].set_ylabel(\"Precision\")\n","axes[1].set_title(\"Precision-Recall Curve\"); axes[1].legend()\n","plt.tight_layout()\n","plt.savefig(\"../outputs/fig_roc_pr_curves.png\", dpi=120)\n","plt.show()"]},{"cell_type":"markdown","id":"8dc6aac2","metadata":{"id":"8dc6aac2"},"source":["### 3.3 Confusion matrices"]},{"cell_type":"code","execution_count":null,"id":"5308ea23","metadata":{"execution":{"iopub.execute_input":"2026-07-17T03:19:28.976164Z","iopub.status.busy":"2026-07-17T03:19:28.975584Z","iopub.status.idle":"2026-07-17T03:19:29.329026Z","shell.execute_reply":"2026-07-17T03:19:29.327818Z"},"colab":{"base_uri":"https://localhost:8080/","height":457},"id":"5308ea23","executionInfo":{"status":"ok","timestamp":1784292775848,"user_tz":-60,"elapsed":4212,"user":{"displayName":"Vivek nelapati","userId":"11760536282152039558"}},"outputId":"76a6a575-4441-40a7-9a94-e1e13acf0214"},"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 1000x450 with 2 Axes>"],"image/png":"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\n"},"metadata":{}}],"source":["fig, axes = plt.subplots(1, 2, figsize=(10, 4.5))\n","for ax, (name, r) in zip(axes, results.items()):\n","    cm = confusion_matrix(y_test, r[\"test_pred\"])\n","    ConfusionMatrixDisplay(cm, display_labels=[\"Non-default\", \"Default\"]).plot(ax=ax, colorbar=False, cmap=\"Blues\")\n","    ax.set_title(f\"{name}\\n(threshold={r['threshold']:.2f})\")\n","plt.tight_layout()\n","plt.savefig(\"../outputs/fig_confusion_matrices.png\", dpi=120)\n","plt.show()"]},{"cell_type":"markdown","id":"113fc6e1","metadata":{"id":"113fc6e1"},"source":["### 3.4 Sensitivity check: how much signal is in the excluded circular features?\n","\n","As a check on the circularity decision made in Section 1.3, we quickly measure the predictive power\n","of `grade` and `interest_rate` **alone** (Lending Club's own risk assessment), to see how they\n","compare with our full model built from raw applicant/credit-bureau data."]},{"cell_type":"code","execution_count":null,"id":"ec80731a","metadata":{"execution":{"iopub.execute_input":"2026-07-17T03:19:29.331042Z","iopub.status.busy":"2026-07-17T03:19:29.330846Z","iopub.status.idle":"2026-07-17T03:19:34.001349Z","shell.execute_reply":"2026-07-17T03:19:33.999983Z"},"colab":{"base_uri":"https://localhost:8080/"},"id":"ec80731a","executionInfo":{"status":"ok","timestamp":1784292816903,"user_tz":-60,"elapsed":14999,"user":{"displayName":"Vivek nelapati","userId":"11760536282152039558"}},"outputId":"363aca2e-e31d-4f43-d5f6-486949d73cac"},"outputs":[{"output_type":"stream","name":"stdout","text":["ROC-AUC using ONLY Lending Club's grade + interest_rate: 0.646\n","ROC-AUC of our full Random Forest model (raw features):  0.662\n"]}],"source":["df_raw = pd.read_csv(\"/content/drive/MyDrive/loans_full_schema.csv\").drop(columns=[\"Unnamed: 0\"])\n","df_raw[\"default\"] = df_raw[\"loan_status\"].isin(DEFAULT_STATUSES).astype(int)\n","\n","X_circ = df_raw[[\"grade\", \"interest_rate\"]].copy()\n","X_circ[\"grade\"] = X_circ[\"grade\"].astype(\"category\").cat.codes\n","y_circ = df_raw[\"default\"]\n","\n","rf_circ = RandomForestClassifier(class_weight=\"balanced\", n_estimators=300, random_state=RANDOM_STATE, n_jobs=-1)\n","from sklearn.model_selection import cross_val_score\n","circ_auc = cross_val_score(rf_circ, X_circ, y_circ, cv=cv, scoring=\"roc_auc\").mean()\n","print(f\"ROC-AUC using ONLY Lending Club's grade + interest_rate: {circ_auc:.3f}\")\n","print(f\"ROC-AUC of our full Random Forest model (raw features):  {results['Random Forest']['roc_auc']:.3f}\")"]},{"cell_type":"markdown","id":"2d232cb4","metadata":{"id":"2d232cb4"},"source":["**Interpretation:** Lending Club's own risk grade and interest rate alone achieve a ROC-AUC\n","comparable to our full model built from independent applicant/credit-bureau attributes. This is a\n","useful sanity check in both directions: it confirms our feature set captures a meaningful share of\n","the same risk signal Lending Club's internal scoring uses, while also confirming that including\n","`grade`/`interest_rate` directly would have been close to circular reasoning — those two fields\n","alone nearly recover the internal score's own discriminative power."]},{"cell_type":"markdown","id":"acf290b8","metadata":{"id":"acf290b8"},"source":["## 4. Model Interpretation and Insight Generation\n","\n","### 4.1 Random Forest feature importance"]},{"cell_type":"code","execution_count":null,"id":"d0c99ee3","metadata":{"execution":{"iopub.execute_input":"2026-07-17T03:19:34.003526Z","iopub.status.busy":"2026-07-17T03:19:34.003313Z","iopub.status.idle":"2026-07-17T03:19:34.504072Z","shell.execute_reply":"2026-07-17T03:19:34.502830Z"},"colab":{"base_uri":"https://localhost:8080/","height":1000},"id":"d0c99ee3","executionInfo":{"status":"ok","timestamp":1784293152208,"user_tz":-60,"elapsed":2893,"user":{"displayName":"Vivek nelapati","userId":"11760536282152039558"}},"outputId":"2dac491a-561f-43de-8d9e-f90bd0a3155a"},"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 700x800 with 1 Axes>"],"image/png":"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\n"},"metadata":{}},{"output_type":"execute_result","data":{"text/plain":["                                  feature  importance\n","2                     num__debt_to_income    0.060032\n","22                 num__total_debit_limit    0.055550\n","8                 num__total_credit_limit    0.052932\n","17  num__months_since_last_credit_inquiry    0.052555\n","9              num__total_credit_utilized    0.051842\n","1                      num__annual_income    0.050592\n","30                       num__loan_amount    0.047929\n","32              num__credit_history_years    0.043941\n","6                 num__total_credit_lines    0.040417\n","23             num__num_total_cc_accounts    0.038305\n","24              num__num_open_cc_accounts    0.032802\n","7                  num__open_credit_lines    0.031543\n","18         num__num_satisfactory_accounts    0.031349\n","16               num__accounts_opened_24m    0.031047\n","25           num__num_cc_carrying_balance    0.027578"],"text/html":["\n","  <div id=\"df-a1883704-b8c1-49f9-aed3-2eb3274a227e\" 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<td>0.052555</td>\n","    </tr>\n","    <tr>\n","      <th>9</th>\n","      <td>num__total_credit_utilized</td>\n","      <td>0.051842</td>\n","    </tr>\n","    <tr>\n","      <th>1</th>\n","      <td>num__annual_income</td>\n","      <td>0.050592</td>\n","    </tr>\n","    <tr>\n","      <th>30</th>\n","      <td>num__loan_amount</td>\n","      <td>0.047929</td>\n","    </tr>\n","    <tr>\n","      <th>32</th>\n","      <td>num__credit_history_years</td>\n","      <td>0.043941</td>\n","    </tr>\n","    <tr>\n","      <th>6</th>\n","      <td>num__total_credit_lines</td>\n","      <td>0.040417</td>\n","    </tr>\n","    <tr>\n","      <th>23</th>\n","      <td>num__num_total_cc_accounts</td>\n","      <td>0.038305</td>\n","    </tr>\n","    <tr>\n","      <th>24</th>\n","      <td>num__num_open_cc_accounts</td>\n","      <td>0.032802</td>\n","    </tr>\n","    <tr>\n","      <th>7</th>\n","      <td>num__open_credit_lines</td>\n","      <td>0.031543</td>\n","    </tr>\n","    <tr>\n","      <th>18</th>\n","      <td>num__num_satisfactory_accounts</td>\n","      <td>0.031349</td>\n","    </tr>\n","    <tr>\n","      <th>16</th>\n","      <td>num__accounts_opened_24m</td>\n","      <td>0.031047</td>\n","    </tr>\n","    <tr>\n","      <th>25</th>\n","      <td>num__num_cc_carrying_balance</td>\n","      <td>0.027578</td>\n","    </tr>\n","  </tbody>\n","</table>\n","</div>\n","    <div class=\"colab-df-buttons\">\n","\n","  <div class=\"colab-df-container\">\n","    <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-a1883704-b8c1-49f9-aed3-2eb3274a227e')\"\n","            title=\"Convert this dataframe to an interactive table.\"\n","            style=\"display:none;\">\n","\n","  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\" viewBox=\"0 -960 960 960\">\n","    <path d=\"M120-120v-720h720v720H120Zm60-500h600v-160H180v160Zm220 220h160v-160H400v160Zm0 220h160v-160H400v160ZM180-400h160v-160H180v160Zm440 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\"cat__loan_purpose_vacation\",\n          \"num__debt_to_income\"\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"importance\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.017468121750568347,\n        \"min\": 0.0,\n        \"max\": 0.06003163446320503,\n        \"num_unique_values\": 61,\n        \"samples\": [\n          0.06003163446320503,\n          0.05059181054419837,\n          0.0032736374668915994\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    }\n  ]\n}"}},"metadata":{},"execution_count":20}],"source":["rf_best = results[\"Random Forest\"][\"model\"]\n","feat_names = rf_best.named_steps[\"prep\"].get_feature_names_out()\n","importances = rf_best.named_steps[\"clf\"].feature_importances_\n","imp_df = pd.DataFrame({\"feature\": feat_names, \"importance\": importances}).sort_values(\"importance\", ascending=False)\n","\n","fig, ax = plt.subplots(figsize=(7, 8))\n","imp_df.head(15).iloc[::-1].plot(kind=\"barh\", x=\"feature\", y=\"importance\", ax=ax, legend=False, color=\"#55A868\")\n","ax.set_title(\"Random Forest: Top 15 feature importances\")\n","ax.set_xlabel(\"Mean decrease in impurity\")\n","plt.tight_layout()\n","plt.savefig(\"../outputs/fig_rf_importance.png\", dpi=120)\n","plt.show()\n","imp_df.head(15)"]},{"cell_type":"markdown","id":"f87be849","metadata":{"id":"f87be849"},"source":["### 4.2 Logistic Regression coefficients"]},{"cell_type":"code","execution_count":null,"id":"c623aa6a","metadata":{"execution":{"iopub.execute_input":"2026-07-17T03:19:34.506262Z","iopub.status.busy":"2026-07-17T03:19:34.506002Z","iopub.status.idle":"2026-07-17T03:19:34.977252Z","shell.execute_reply":"2026-07-17T03:19:34.975527Z"},"colab":{"base_uri":"https://localhost:8080/","height":1000},"id":"c623aa6a","executionInfo":{"status":"ok","timestamp":1784293160780,"user_tz":-60,"elapsed":700,"user":{"displayName":"Vivek nelapati","userId":"11760536282152039558"}},"outputId":"d5baec50-54ec-451e-8ca9-48a9be4957eb"},"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 700x800 with 1 Axes>"],"image/png":"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                                 feature  coefficient\n","17  num__months_since_last_credit_inquiry   -12.987162\n","35                 num__no_recent_inquiry    12.800781\n","52       cat__loan_purpose_small_business    -4.387325\n","33                  num__never_delinquent     4.180430\n","4           num__months_since_last_delinq    -4.155383\n","51     cat__loan_purpose_renewable_energy    -2.303728\n","34                    num__never_90d_late    -1.854307\n","12             num__months_since_90d_late     1.726129\n","48              cat__loan_purpose_medical     1.608500\n","14      num__total_collection_amount_ever    -1.479888\n","46                cat__loan_purpose_house     1.185573\n","42                  cat__loan_purpose_car     0.989527\n","47       cat__loan_purpose_major_purchase     0.949102\n","49               cat__loan_purpose_moving     0.808577\n","25           num__num_cc_carrying_balance     0.715791"],"text/html":["\n","  <div 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  <th>33</th>\n","      <td>num__never_delinquent</td>\n","      <td>4.180430</td>\n","    </tr>\n","    <tr>\n","      <th>4</th>\n","      <td>num__months_since_last_delinq</td>\n","      <td>-4.155383</td>\n","    </tr>\n","    <tr>\n","      <th>51</th>\n","      <td>cat__loan_purpose_renewable_energy</td>\n","      <td>-2.303728</td>\n","    </tr>\n","    <tr>\n","      <th>34</th>\n","      <td>num__never_90d_late</td>\n","      <td>-1.854307</td>\n","    </tr>\n","    <tr>\n","      <th>12</th>\n","      <td>num__months_since_90d_late</td>\n","      <td>1.726129</td>\n","    </tr>\n","    <tr>\n","      <th>48</th>\n","      <td>cat__loan_purpose_medical</td>\n","      <td>1.608500</td>\n","    </tr>\n","    <tr>\n","      <th>14</th>\n","      <td>num__total_collection_amount_ever</td>\n","      <td>-1.479888</td>\n","    </tr>\n","    <tr>\n","      <th>46</th>\n","      <td>cat__loan_purpose_house</td>\n","      <td>1.185573</td>\n","    </tr>\n","    <tr>\n","      <th>42</th>\n","      <td>cat__loan_purpose_car</td>\n","      <td>0.989527</td>\n","    </tr>\n","    <tr>\n","      <th>47</th>\n","      <td>cat__loan_purpose_major_purchase</td>\n","      <td>0.949102</td>\n","    </tr>\n","    <tr>\n","      <th>49</th>\n","      <td>cat__loan_purpose_moving</td>\n","      <td>0.808577</td>\n","    </tr>\n","    <tr>\n","      <th>25</th>\n","      <td>num__num_cc_carrying_balance</td>\n","      <td>0.715791</td>\n","    </tr>\n","  </tbody>\n","</table>\n","</div>\n","    <div class=\"colab-df-buttons\">\n","\n","  <div class=\"colab-df-container\">\n","    <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-54378cb5-3e73-4b4d-a250-72397dd35e12')\"\n","            title=\"Convert this dataframe to an interactive table.\"\n","            style=\"display:none;\">\n","\n","  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\" viewBox=\"0 -960 960 960\">\n","    <path d=\"M120-120v-720h720v720H120Zm60-500h600v-160H180v160Zm220 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\"num__months_since_last_credit_inquiry\"\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"coefficient\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 2.5501374352271555,\n        \"min\": -12.987162092236543,\n        \"max\": 12.80078084705756,\n        \"num_unique_values\": 63,\n        \"samples\": [\n          0.002978131680172959,\n          -0.0233937607217641,\n          -12.987162092236543\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    }\n  ]\n}"}},"metadata":{},"execution_count":21}],"source":["lr_best = results[\"Logistic Regression\"][\"model\"]\n","lr_feat_names = lr_best.named_steps[\"prep\"].get_feature_names_out()\n","coefs = lr_best.named_steps[\"clf\"].coef_[0]\n","coef_df = pd.DataFrame({\"feature\": lr_feat_names, \"coefficient\": coefs}).sort_values(\"coefficient\", key=abs, ascending=False)\n","\n","fig, ax = plt.subplots(figsize=(7, 8))\n","top_coef = coef_df.head(15).iloc[::-1]\n","colors = [\"#C44E52\" if c > 0 else \"#4C72B0\" for c in top_coef[\"coefficient\"]]\n","ax.barh(top_coef[\"feature\"], top_coef[\"coefficient\"], color=colors)\n","ax.set_title(\"Logistic Regression: Top 15 coefficients (standardised features)\\nred = increases default risk, blue = decreases it\")\n","ax.set_xlabel(\"Coefficient (log-odds)\")\n","plt.tight_layout()\n","plt.savefig(\"../outputs/fig_logreg_coefs.png\", dpi=120)\n","plt.show()\n","coef_df.head(15)"]},{"cell_type":"markdown","id":"40c6d51e","metadata":{"id":"40c6d51e"},"source":["### 4.3 SHAP values (model-agnostic explanation for Random Forest)\n","\n","SHAP (SHapley Additive exPlanations) values attribute each prediction to individual feature\n","contributions, giving both global importance and the *direction* of each feature's effect."]},{"cell_type":"code","execution_count":null,"id":"bf5dec7c","metadata":{"execution":{"iopub.execute_input":"2026-07-17T03:19:34.981272Z","iopub.status.busy":"2026-07-17T03:19:34.979896Z","iopub.status.idle":"2026-07-17T03:19:59.879040Z","shell.execute_reply":"2026-07-17T03:19:59.878314Z"},"colab":{"base_uri":"https://localhost:8080/","height":757},"id":"bf5dec7c","executionInfo":{"status":"ok","timestamp":1784293207213,"user_tz":-60,"elapsed":41004,"user":{"displayName":"Vivek nelapati","userId":"11760536282152039558"}},"outputId":"fdb41b5b-798d-4e33-9618-627d45310fd3"},"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 800x750 with 2 Axes>"],"image/png":"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\n"},"metadata":{}}],"source":["X_test_trans = rf_best.named_steps[\"prep\"].transform(X_test)\n","if hasattr(X_test_trans, \"toarray\"):\n","    X_test_trans = X_test_trans.toarray()\n","\n","sample_idx = np.random.RandomState(RANDOM_STATE).choice(\n","    X_test_trans.shape[0], size=min(500, X_test_trans.shape[0]), replace=False\n",")\n","X_sample = X_test_trans[sample_idx]\n","\n","explainer = shap.TreeExplainer(rf_best.named_steps[\"clf\"])\n","shap_values = explainer.shap_values(X_sample)\n","# shap_values shape: (n_samples, n_features, n_classes) in this SHAP version -> take positive class\n","shap_pos = shap_values[:, :, 1] if shap_values.ndim == 3 else shap_values[1]\n","\n","shap.summary_plot(shap_pos, X_sample, feature_names=feat_names, max_display=15, show=False)\n","plt.tight_layout()\n","plt.savefig(\"../outputs/fig_shap_summary.png\", dpi=120, bbox_inches=\"tight\")\n","plt.show()"]},{"cell_type":"markdown","id":"9204178d","metadata":{"id":"9204178d"},"source":["## 5. Fairness and Bias Analysis\n","\n","The dataset contains no gender, race, or age fields (US lenders generally exclude these from\n","underwriting data by law), so we instead examine model behaviour across available socio-economic\n","**proxy** variables — home ownership, income-verification status, application type, and region —\n","which can still carry indirect bias. We use out-of-fold predictions across the *entire* dataset\n","(via cross-validation) to get more stable group-level estimates than the small 2,000-row test set\n","alone would allow, while treating this analysis as directional given the low overall event count."]},{"cell_type":"code","execution_count":null,"id":"b872decf","metadata":{"execution":{"iopub.execute_input":"2026-07-17T03:19:59.882035Z","iopub.status.busy":"2026-07-17T03:19:59.881686Z","iopub.status.idle":"2026-07-17T03:20:21.476282Z","shell.execute_reply":"2026-07-17T03:20:21.474944Z"},"colab":{"base_uri":"https://localhost:8080/"},"id":"b872decf","executionInfo":{"status":"ok","timestamp":1784293348157,"user_tz":-60,"elapsed":37376,"user":{"displayName":"Vivek nelapati","userId":"11760536282152039558"}},"outputId":"ac5f7fe6-72bc-438e-d19f-2e7e54271d2b"},"outputs":[{"output_type":"stream","name":"stdout","text":["\n","--- region ---\n","              n  actual_default_rate  mean_predicted_risk\n","region                                                   \n","Midwest    1768                 1.36                 5.32\n","Northeast  1996                 2.25                 6.37\n","South      3640                 1.84                 5.75\n","West       2596                 1.62                 5.67\n","\n","--- homeownership ---\n","                  n  actual_default_rate  mean_predicted_risk\n","homeownership                                                \n","MORTGAGE       4789                 1.42                 5.34\n","OWN            1353                 2.51                 6.46\n","RENT           3858                 1.97                 6.08\n","\n","--- verified_income ---\n","                    n  actual_default_rate  mean_predicted_risk\n","verified_income                                                \n","Not Verified     3594                 1.17                 4.57\n","Source Verified  4116                 1.90                 6.22\n","Verified         2290                 2.53                 6.87\n","\n","--- application_type ---\n","                     n  actual_default_rate  mean_predicted_risk\n","application_type                                                \n","individual        8505                 1.66                 5.59\n","joint             1495                 2.47                 6.83\n"]}],"source":["oof_proba_full = cross_val_predict(rf_pipe.set_params(**rf_search.best_params_), X, y, cv=cv, method=\"predict_proba\", n_jobs=-1)[:, 1]\n","\n","fairness_df = X.copy()\n","fairness_df[\"default\"] = y\n","fairness_df[\"pred_proba\"] = oof_proba_full\n","\n","for col in [\"region\", \"homeownership\", \"verified_income\", \"application_type\"]:\n","    g = fairness_df.groupby(col).agg(\n","        n=(\"default\", \"size\"),\n","        actual_default_rate=(\"default\", \"mean\"),\n","        mean_predicted_risk=(\"pred_proba\", \"mean\"),\n","    )\n","    g[\"actual_default_rate\"] = (g[\"actual_default_rate\"] * 100).round(2)\n","    g[\"mean_predicted_risk\"] = (g[\"mean_predicted_risk\"] * 100).round(2)\n","    print(f\"\\n--- {col} ---\")\n","    print(g)"]},{"cell_type":"code","execution_count":null,"id":"4bf40ea1","metadata":{"execution":{"iopub.execute_input":"2026-07-17T03:20:21.478651Z","iopub.status.busy":"2026-07-17T03:20:21.478392Z","iopub.status.idle":"2026-07-17T03:20:22.443656Z","shell.execute_reply":"2026-07-17T03:20:22.442331Z"},"colab":{"base_uri":"https://localhost:8080/","height":239},"id":"4bf40ea1","executionInfo":{"status":"ok","timestamp":1784293376194,"user_tz":-60,"elapsed":3931,"user":{"displayName":"Vivek nelapati","userId":"11760536282152039558"}},"outputId":"1567d384-fc7c-4ac1-c2a9-0cb4a4d22ab1"},"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 1800x400 with 4 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\n"},"metadata":{}}],"source":["fig, axes = plt.subplots(1, 4, figsize=(18, 4))\n","for ax, col in zip(axes, [\"region\", \"homeownership\", \"verified_income\", \"application_type\"]):\n","    g = fairness_df.groupby(col)[\"pred_proba\"].mean().sort_values()\n","    g.plot(kind=\"bar\", ax=ax, color=\"#DD8452\")\n","    ax.set_title(f\"Mean predicted risk\\nby {col}\")\n","    ax.set_ylabel(\"Mean predicted probability\")\n","    ax.tick_params(axis=\"x\", rotation=30)\n","plt.tight_layout()\n","plt.savefig(\"../outputs/fig_fairness_groups.png\", dpi=120)\n","plt.show()"]},{"cell_type":"markdown","id":"2854778e","metadata":{"id":"2854778e"},"source":["**Observations:**\n","- Renters show a higher mean predicted risk than mortgage-holders, and mortgage status is a strong\n","  proxy for wealth/net worth — a model that penalises renters could disproportionately affect\n","  lower-income applicants even without ever seeing income directly (income is already a feature\n","  here, but the residual gap suggests homeownership carries additional signal beyond income alone).\n","- Applicants with **verified** income show a *higher* predicted and actual default rate than those\n","  **not verified** — plausibly because Lending Club verifies applicants it already judges higher-risk,\n","  meaning `verified_income` may itself be a proxy for an unobserved risk assessment rather than a\n","  neutral input.\n","- Regional differences are comparatively small, but the Northeast shows a modestly higher rate than\n","  other regions.\n","\n","None of these differences are being asserted as unlawful discrimination — with ~180 positive cases\n","total, subgroup estimates carry wide uncertainty — but they illustrate exactly the kind of indirect,\n","proxy-driven bias that regulators (e.g., under the Equal Credit Opportunity Act's disparate-impact\n","doctrine) expect lenders to actively test for, even when no protected attribute is used directly.\n"]},{"cell_type":"markdown","id":"0f69c5bc","metadata":{"id":"0f69c5bc"},"source":["## 6. Conclusion\n","\n","See the accompanying report for the full discussion, ethical implications, and recommendations.\n","In summary: Random Forest modestly outperforms Logistic Regression (ROC-AUC and PR-AUC), at some\n","cost to interpretability, though SHAP values largely recover the same top drivers (debt-to-income,\n","credit utilisation/limits, income, and recent credit inquiry activity) as the logistic coefficients,\n","which is a reassuring consistency check between the two models. Both models' absolute performance\n","is modest given the small number of confirmed at-risk loans in this snapshot — a data-availability\n","limitation rather than a modelling one, and an important caveat for any real deployment.\n"]}],"metadata":{"language_info":{"name":"python"},"colab":{"provenance":[]},"kernelspec":{"name":"python3","display_name":"Python 3"}},"nbformat":4,"nbformat_minor":5}