{"metadata":{"kernelspec":{"language":"python","display_name":"Python 3","name":"python3"},"language_info":{"name":"python","version":"3.10.14","mimetype":"text/x-python","codemirror_mode":{"name":"ipython","version":3},"pygments_lexer":"ipython3","nbconvert_exporter":"python","file_extension":".py"},"kaggle":{"accelerator":"gpu","dataSources":[{"sourceId":84896,"databundleVersionId":10305135,"sourceType":"competition"}],"dockerImageVersionId":30805,"isInternetEnabled":true,"language":"python","sourceType":"notebook","isGpuEnabled":true}},"nbformat_minor":4,"nbformat":4,"cells":[{"cell_type":"code","source":"from collections import Counter\nimport matplotlib.pyplot as plt\nimport seaborn as sns\nimport optuna\nimport pandas as pd\nimport numpy as np\nimport pandas as pd\nimport numpy as np\nfrom time import time\nfrom sklearn.metrics import roc_auc_score\n\nfrom sklearn.model_selection import train_test_split,GridSearchCV,StratifiedKFold,RandomizedSearchCV,RepeatedStratifiedKFold\nfrom sklearn.metrics import accuracy_score\nfrom sklearn.model_selection import cross_val_score\nfrom xgboost import XGBClassifier\nfrom sklearn.linear_model import LogisticRegression\nfrom sklearn.neural_network import MLPClassifier\nfrom sklearn.neighbors import KNeighborsClassifier\nfrom sklearn.naive_bayes import GaussianNB\n\nfrom sklearn.svm import SVC\nfrom sklearn.ensemble import RandomForestClassifier\nfrom sklearn.metrics import classification_report, confusion_matrix, roc_auc_score\nfrom sklearn.model_selection import GridSearchCV, KFold\nfrom sklearn.ensemble import ExtraTreesClassifier\nfrom sklearn.preprocessing import LabelEncoder\nimport warnings\nwarnings.filterwarnings('ignore')\nfrom sklearn.metrics import cohen_kappa_score,make_scorer\nfrom sklearn.ensemble import RandomForestClassifier\nfrom sklearn.neighbors import KNeighborsClassifier\nfrom sklearn.linear_model import LogisticRegression\nfrom sklearn.tree import DecisionTreeClassifier\nfrom sklearn.ensemble import GradientBoostingClassifier\nfrom sklearn.ensemble import StackingClassifier\nfrom lightgbm import LGBMClassifier\nfrom catboost import CatBoostClassifier\nfrom pandas.api.types import is_numeric_dtype\n\nimport numpy as np # linear algebra\nimport pandas as pd # data processing, CSV file I/O (e.g. pd.read_csv)\nimport matplotlib.pyplot as plt\nimport seaborn as sns\nimport warnings\nwarnings.filterwarnings('ignore', message='use_inf_as_na option is deprecated')\n# warnings.filterwarnings('ignore', category=FutureWarning)","metadata":{"_uuid":"8f2839f25d086af736a60e9eeb907d3b93b6e0e5","_cell_guid":"b1076dfc-b9ad-4769-8c92-a6c4dae69d19","trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:02.392118Z","iopub.execute_input":"2024-12-26T03:11:02.39288Z","iopub.status.idle":"2024-12-26T03:11:02.401515Z","shell.execute_reply.started":"2024-12-26T03:11:02.392843Z","shell.execute_reply":"2024-12-26T03:11:02.400564Z"}},"outputs":[],"execution_count":33},{"cell_type":"code","source":"train = pd.read_csv(\"/kaggle/input/playground-series-s4e12/train.csv\")\ntest = pd.read_csv(\"/kaggle/input/playground-series-s4e12/test.csv\")\nsample_sub = pd.read_csv(\"/kaggle/input/playground-series-s4e12/sample_submission.csv\")\n\ntrain.head()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:02.402801Z","iopub.execute_input":"2024-12-26T03:11:02.403052Z","iopub.status.idle":"2024-12-26T03:11:07.105012Z","shell.execute_reply.started":"2024-12-26T03:11:02.403028Z","shell.execute_reply":"2024-12-26T03:11:07.104041Z"}},"outputs":[{"execution_count":34,"output_type":"execute_result","data":{"text/plain":"   id   Age  Gender  Annual Income Marital Status  Number of Dependents  \\\n0   0  19.0  Female        10049.0        Married                   1.0   \n1   1  39.0  Female        31678.0       Divorced                   3.0   \n2   2  23.0    Male        25602.0       Divorced                   3.0   \n3   3  21.0    Male       141855.0        Married                   2.0   \n4   4  21.0    Male        39651.0         Single                   1.0   \n\n  Education Level     Occupation  Health Score  Location  ... Previous Claims  \\\n0      Bachelor's  Self-Employed     22.598761     Urban  ...             2.0   \n1        Master's            NaN     15.569731     Rural  ...             1.0   \n2     High School  Self-Employed     47.177549  Suburban  ...             1.0   \n3      Bachelor's            NaN     10.938144     Rural  ...             1.0   \n4      Bachelor's  Self-Employed     20.376094     Rural  ...             0.0   \n\n   Vehicle Age  Credit Score  Insurance Duration           Policy Start Date  \\\n0         17.0         372.0                 5.0  2023-12-23 15:21:39.134960   \n1         12.0         694.0                 2.0  2023-06-12 15:21:39.111551   \n2         14.0           NaN                 3.0  2023-09-30 15:21:39.221386   \n3          0.0         367.0                 1.0  2024-06-12 15:21:39.226954   \n4          8.0         598.0                 4.0  2021-12-01 15:21:39.252145   \n\n  Customer Feedback Smoking Status Exercise Frequency Property Type  \\\n0              Poor             No             Weekly         House   \n1           Average            Yes            Monthly         House   \n2              Good            Yes             Weekly         House   \n3              Poor            Yes              Daily     Apartment   \n4              Poor            Yes             Weekly         House   \n\n  Premium Amount  \n0         2869.0  \n1         1483.0  \n2          567.0  \n3          765.0  \n4         2022.0  \n\n[5 rows x 21 columns]","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>id</th>\n      <th>Age</th>\n      <th>Gender</th>\n      <th>Annual Income</th>\n      <th>Marital Status</th>\n      <th>Number of Dependents</th>\n      <th>Education Level</th>\n      <th>Occupation</th>\n      <th>Health Score</th>\n      <th>Location</th>\n      <th>...</th>\n      <th>Previous Claims</th>\n      <th>Vehicle Age</th>\n      <th>Credit Score</th>\n      <th>Insurance Duration</th>\n      <th>Policy Start Date</th>\n      <th>Customer Feedback</th>\n      <th>Smoking Status</th>\n      <th>Exercise Frequency</th>\n      <th>Property Type</th>\n      <th>Premium Amount</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>0</td>\n      <td>19.0</td>\n      <td>Female</td>\n      <td>10049.0</td>\n      <td>Married</td>\n      <td>1.0</td>\n      <td>Bachelor's</td>\n      <td>Self-Employed</td>\n      <td>22.598761</td>\n      <td>Urban</td>\n      <td>...</td>\n      <td>2.0</td>\n      <td>17.0</td>\n      <td>372.0</td>\n      <td>5.0</td>\n      <td>2023-12-23 15:21:39.134960</td>\n      <td>Poor</td>\n      <td>No</td>\n      <td>Weekly</td>\n      <td>House</td>\n      <td>2869.0</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>1</td>\n      <td>39.0</td>\n      <td>Female</td>\n      <td>31678.0</td>\n      <td>Divorced</td>\n      <td>3.0</td>\n      <td>Master's</td>\n      <td>NaN</td>\n      <td>15.569731</td>\n      <td>Rural</td>\n      <td>...</td>\n      <td>1.0</td>\n      <td>12.0</td>\n      <td>694.0</td>\n      <td>2.0</td>\n      <td>2023-06-12 15:21:39.111551</td>\n      <td>Average</td>\n      <td>Yes</td>\n      <td>Monthly</td>\n      <td>House</td>\n      <td>1483.0</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>2</td>\n      <td>23.0</td>\n      <td>Male</td>\n      <td>25602.0</td>\n      <td>Divorced</td>\n      <td>3.0</td>\n      <td>High School</td>\n      <td>Self-Employed</td>\n      <td>47.177549</td>\n      <td>Suburban</td>\n      <td>...</td>\n      <td>1.0</td>\n      <td>14.0</td>\n      <td>NaN</td>\n      <td>3.0</td>\n      <td>2023-09-30 15:21:39.221386</td>\n      <td>Good</td>\n      <td>Yes</td>\n      <td>Weekly</td>\n      <td>House</td>\n      <td>567.0</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>3</td>\n      <td>21.0</td>\n      <td>Male</td>\n      <td>141855.0</td>\n      <td>Married</td>\n      <td>2.0</td>\n      <td>Bachelor's</td>\n      <td>NaN</td>\n      <td>10.938144</td>\n      <td>Rural</td>\n      <td>...</td>\n      <td>1.0</td>\n      <td>0.0</td>\n      <td>367.0</td>\n      <td>1.0</td>\n      <td>2024-06-12 15:21:39.226954</td>\n      <td>Poor</td>\n      <td>Yes</td>\n      <td>Daily</td>\n      <td>Apartment</td>\n      <td>765.0</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>4</td>\n      <td>21.0</td>\n      <td>Male</td>\n      <td>39651.0</td>\n      <td>Single</td>\n      <td>1.0</td>\n      <td>Bachelor's</td>\n      <td>Self-Employed</td>\n      <td>20.376094</td>\n      <td>Rural</td>\n      <td>...</td>\n      <td>0.0</td>\n      <td>8.0</td>\n      <td>598.0</td>\n      <td>4.0</td>\n      <td>2021-12-01 15:21:39.252145</td>\n      <td>Poor</td>\n      <td>Yes</td>\n      <td>Weekly</td>\n      <td>House</td>\n      <td>2022.0</td>\n    </tr>\n  </tbody>\n</table>\n<p>5 rows × 21 columns</p>\n</div>"},"metadata":{}}],"execution_count":34},{"cell_type":"code","source":"test.head()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:07.106341Z","iopub.execute_input":"2024-12-26T03:11:07.106601Z","iopub.status.idle":"2024-12-26T03:11:07.123172Z","shell.execute_reply.started":"2024-12-26T03:11:07.106575Z","shell.execute_reply":"2024-12-26T03:11:07.122306Z"}},"outputs":[{"execution_count":35,"output_type":"execute_result","data":{"text/plain":"        id   Age  Gender  Annual Income Marital Status  Number of Dependents  \\\n0  1200000  28.0  Female         2310.0            NaN                   4.0   \n1  1200001  31.0  Female       126031.0        Married                   2.0   \n2  1200002  47.0  Female        17092.0       Divorced                   0.0   \n3  1200003  28.0  Female        30424.0       Divorced                   3.0   \n4  1200004  24.0    Male        10863.0       Divorced                   2.0   \n\n  Education Level     Occupation  Health Score  Location    Policy Type  \\\n0      Bachelor's  Self-Employed      7.657981     Rural          Basic   \n1        Master's  Self-Employed     13.381379  Suburban        Premium   \n2             PhD     Unemployed     24.354527     Urban  Comprehensive   \n3             PhD  Self-Employed      5.136225  Suburban  Comprehensive   \n4     High School     Unemployed     11.844155  Suburban        Premium   \n\n   Previous Claims  Vehicle Age  Credit Score  Insurance Duration  \\\n0              NaN         19.0           NaN                 1.0   \n1              NaN         14.0         372.0                 8.0   \n2              NaN         16.0         819.0                 9.0   \n3              1.0          3.0         770.0                 5.0   \n4              NaN         14.0         755.0                 7.0   \n\n            Policy Start Date Customer Feedback Smoking Status  \\\n0  2023-06-04 15:21:39.245086              Poor            Yes   \n1  2024-04-22 15:21:39.224915              Good            Yes   \n2  2023-04-05 15:21:39.134960           Average            Yes   \n3  2023-10-25 15:21:39.134960              Poor            Yes   \n4  2021-11-26 15:21:39.259788           Average             No   \n\n  Exercise Frequency Property Type  \n0             Weekly         House  \n1             Rarely     Apartment  \n2            Monthly         Condo  \n3              Daily         House  \n4             Weekly         House  ","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>id</th>\n      <th>Age</th>\n      <th>Gender</th>\n      <th>Annual Income</th>\n      <th>Marital Status</th>\n      <th>Number of Dependents</th>\n      <th>Education Level</th>\n      <th>Occupation</th>\n      <th>Health Score</th>\n      <th>Location</th>\n      <th>Policy Type</th>\n      <th>Previous Claims</th>\n      <th>Vehicle Age</th>\n      <th>Credit Score</th>\n      <th>Insurance Duration</th>\n      <th>Policy Start Date</th>\n      <th>Customer Feedback</th>\n      <th>Smoking Status</th>\n      <th>Exercise Frequency</th>\n      <th>Property Type</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>1200000</td>\n      <td>28.0</td>\n      <td>Female</td>\n      <td>2310.0</td>\n      <td>NaN</td>\n      <td>4.0</td>\n      <td>Bachelor's</td>\n      <td>Self-Employed</td>\n      <td>7.657981</td>\n      <td>Rural</td>\n      <td>Basic</td>\n      <td>NaN</td>\n      <td>19.0</td>\n      <td>NaN</td>\n      <td>1.0</td>\n      <td>2023-06-04 15:21:39.245086</td>\n      <td>Poor</td>\n      <td>Yes</td>\n      <td>Weekly</td>\n      <td>House</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>1200001</td>\n      <td>31.0</td>\n      <td>Female</td>\n      <td>126031.0</td>\n      <td>Married</td>\n      <td>2.0</td>\n      <td>Master's</td>\n      <td>Self-Employed</td>\n      <td>13.381379</td>\n      <td>Suburban</td>\n      <td>Premium</td>\n      <td>NaN</td>\n      <td>14.0</td>\n      <td>372.0</td>\n      <td>8.0</td>\n      <td>2024-04-22 15:21:39.224915</td>\n      <td>Good</td>\n      <td>Yes</td>\n      <td>Rarely</td>\n      <td>Apartment</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>1200002</td>\n      <td>47.0</td>\n      <td>Female</td>\n      <td>17092.0</td>\n      <td>Divorced</td>\n      <td>0.0</td>\n      <td>PhD</td>\n      <td>Unemployed</td>\n      <td>24.354527</td>\n      <td>Urban</td>\n      <td>Comprehensive</td>\n      <td>NaN</td>\n      <td>16.0</td>\n      <td>819.0</td>\n      <td>9.0</td>\n      <td>2023-04-05 15:21:39.134960</td>\n      <td>Average</td>\n      <td>Yes</td>\n      <td>Monthly</td>\n      <td>Condo</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>1200003</td>\n      <td>28.0</td>\n      <td>Female</td>\n      <td>30424.0</td>\n      <td>Divorced</td>\n      <td>3.0</td>\n      <td>PhD</td>\n      <td>Self-Employed</td>\n      <td>5.136225</td>\n      <td>Suburban</td>\n      <td>Comprehensive</td>\n      <td>1.0</td>\n      <td>3.0</td>\n      <td>770.0</td>\n      <td>5.0</td>\n      <td>2023-10-25 15:21:39.134960</td>\n      <td>Poor</td>\n      <td>Yes</td>\n      <td>Daily</td>\n      <td>House</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>1200004</td>\n      <td>24.0</td>\n      <td>Male</td>\n      <td>10863.0</td>\n      <td>Divorced</td>\n      <td>2.0</td>\n      <td>High School</td>\n      <td>Unemployed</td>\n      <td>11.844155</td>\n      <td>Suburban</td>\n      <td>Premium</td>\n      <td>NaN</td>\n      <td>14.0</td>\n      <td>755.0</td>\n      <td>7.0</td>\n      <td>2021-11-26 15:21:39.259788</td>\n      <td>Average</td>\n      <td>No</td>\n      <td>Weekly</td>\n      <td>House</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}],"execution_count":35},{"cell_type":"code","source":"train.info()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:07.12411Z","iopub.execute_input":"2024-12-26T03:11:07.124393Z","iopub.status.idle":"2024-12-26T03:11:07.673407Z","shell.execute_reply.started":"2024-12-26T03:11:07.124368Z","shell.execute_reply":"2024-12-26T03:11:07.672477Z"}},"outputs":[{"name":"stdout","text":"<class 'pandas.core.frame.DataFrame'>\nRangeIndex: 1200000 entries, 0 to 1199999\nData columns (total 21 columns):\n #   Column                Non-Null Count    Dtype  \n---  ------                --------------    -----  \n 0   id                    1200000 non-null  int64  \n 1   Age                   1181295 non-null  float64\n 2   Gender                1200000 non-null  object \n 3   Annual Income         1155051 non-null  float64\n 4   Marital Status        1181471 non-null  object \n 5   Number of Dependents  1090328 non-null  float64\n 6   Education Level       1200000 non-null  object \n 7   Occupation            841925 non-null   object \n 8   Health Score          1125924 non-null  float64\n 9   Location              1200000 non-null  object \n 10  Policy Type           1200000 non-null  object \n 11  Previous Claims       835971 non-null   float64\n 12  Vehicle Age           1199994 non-null  float64\n 13  Credit Score          1062118 non-null  float64\n 14  Insurance Duration    1199999 non-null  float64\n 15  Policy Start Date     1200000 non-null  object \n 16  Customer Feedback     1122176 non-null  object \n 17  Smoking Status        1200000 non-null  object \n 18  Exercise Frequency    1200000 non-null  object \n 19  Property Type         1200000 non-null  object \n 20  Premium Amount        1200000 non-null  float64\ndtypes: float64(9), int64(1), object(11)\nmemory usage: 192.3+ MB\n","output_type":"stream"}],"execution_count":36},{"cell_type":"code","source":"test.info()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:07.675679Z","iopub.execute_input":"2024-12-26T03:11:07.676434Z","iopub.status.idle":"2024-12-26T03:11:08.038281Z","shell.execute_reply.started":"2024-12-26T03:11:07.676396Z","shell.execute_reply":"2024-12-26T03:11:08.03743Z"}},"outputs":[{"name":"stdout","text":"<class 'pandas.core.frame.DataFrame'>\nRangeIndex: 800000 entries, 0 to 799999\nData columns (total 20 columns):\n #   Column                Non-Null Count   Dtype  \n---  ------                --------------   -----  \n 0   id                    800000 non-null  int64  \n 1   Age                   787511 non-null  float64\n 2   Gender                800000 non-null  object \n 3   Annual Income         770140 non-null  float64\n 4   Marital Status        787664 non-null  object \n 5   Number of Dependents  726870 non-null  float64\n 6   Education Level       800000 non-null  object \n 7   Occupation            560875 non-null  object \n 8   Health Score          750551 non-null  float64\n 9   Location              800000 non-null  object \n 10  Policy Type           800000 non-null  object \n 11  Previous Claims       557198 non-null  float64\n 12  Vehicle Age           799997 non-null  float64\n 13  Credit Score          708549 non-null  float64\n 14  Insurance Duration    799998 non-null  float64\n 15  Policy Start Date     800000 non-null  object \n 16  Customer Feedback     747724 non-null  object \n 17  Smoking Status        800000 non-null  object \n 18  Exercise Frequency    800000 non-null  object \n 19  Property Type         800000 non-null  object \ndtypes: float64(8), int64(1), object(11)\nmemory usage: 122.1+ MB\n","output_type":"stream"}],"execution_count":37},{"cell_type":"code","source":"train = train.drop(['id'], axis=1)\ntest = test.drop(['id'], axis=1)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:08.039273Z","iopub.execute_input":"2024-12-26T03:11:08.039547Z","iopub.status.idle":"2024-12-26T03:11:08.190822Z","shell.execute_reply.started":"2024-12-26T03:11:08.03952Z","shell.execute_reply":"2024-12-26T03:11:08.190086Z"}},"outputs":[],"execution_count":38},{"cell_type":"code","source":"train.describe(include='all')","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:08.191864Z","iopub.execute_input":"2024-12-26T03:11:08.192129Z","iopub.status.idle":"2024-12-26T03:11:10.219653Z","shell.execute_reply.started":"2024-12-26T03:11:08.192103Z","shell.execute_reply":"2024-12-26T03:11:10.21874Z"}},"outputs":[{"execution_count":39,"output_type":"execute_result","data":{"text/plain":"                 Age   Gender  Annual Income Marital Status  \\\ncount   1.181295e+06  1200000   1.155051e+06        1181471   \nunique           NaN        2            NaN              3   \ntop              NaN     Male            NaN         Single   \nfreq             NaN   602571            NaN         395391   \nmean    4.114556e+01      NaN   3.274522e+04            NaN   \nstd     1.353995e+01      NaN   3.217951e+04            NaN   \nmin     1.800000e+01      NaN   1.000000e+00            NaN   \n25%     3.000000e+01      NaN   8.001000e+03            NaN   \n50%     4.100000e+01      NaN   2.391100e+04            NaN   \n75%     5.300000e+01      NaN   4.463400e+04            NaN   \nmax     6.400000e+01      NaN   1.499970e+05            NaN   \n\n        Number of Dependents Education Level Occupation  Health Score  \\\ncount           1.090328e+06         1200000     841925  1.125924e+06   \nunique                   NaN               4          3           NaN   \ntop                      NaN        Master's   Employed           NaN   \nfreq                     NaN          303818     282750           NaN   \nmean            2.009934e+00             NaN        NaN  2.561391e+01   \nstd             1.417338e+00             NaN        NaN  1.220346e+01   \nmin             0.000000e+00             NaN        NaN  2.012237e+00   \n25%             1.000000e+00             NaN        NaN  1.591896e+01   \n50%             2.000000e+00             NaN        NaN  2.457865e+01   \n75%             3.000000e+00             NaN        NaN  3.452721e+01   \nmax             4.000000e+00             NaN        NaN  5.897591e+01   \n\n        Location Policy Type  Previous Claims   Vehicle Age  Credit Score  \\\ncount    1200000     1200000    835971.000000  1.199994e+06  1.062118e+06   \nunique         3           3              NaN           NaN           NaN   \ntop     Suburban     Premium              NaN           NaN           NaN   \nfreq      401542      401846              NaN           NaN           NaN   \nmean         NaN         NaN         1.002689  9.569889e+00  5.929244e+02   \nstd          NaN         NaN         0.982840  5.776189e+00  1.499819e+02   \nmin          NaN         NaN         0.000000  0.000000e+00  3.000000e+02   \n25%          NaN         NaN         0.000000  5.000000e+00  4.680000e+02   \n50%          NaN         NaN         1.000000  1.000000e+01  5.950000e+02   \n75%          NaN         NaN         2.000000  1.500000e+01  7.210000e+02   \nmax          NaN         NaN         9.000000  1.900000e+01  8.490000e+02   \n\n        Insurance Duration           Policy Start Date Customer Feedback  \\\ncount         1.199999e+06                     1200000           1122176   \nunique                 NaN                      167381                 3   \ntop                    NaN  2020-02-08 15:21:39.134960           Average   \nfreq                   NaN                         142            377905   \nmean          5.018219e+00                         NaN               NaN   \nstd           2.594331e+00                         NaN               NaN   \nmin           1.000000e+00                         NaN               NaN   \n25%           3.000000e+00                         NaN               NaN   \n50%           5.000000e+00                         NaN               NaN   \n75%           7.000000e+00                         NaN               NaN   \nmax           9.000000e+00                         NaN               NaN   \n\n       Smoking Status Exercise Frequency Property Type  Premium Amount  \ncount         1200000            1200000       1200000    1.200000e+06  \nunique              2                  4             3             NaN  \ntop               Yes             Weekly         House             NaN  \nfreq           601873             306179        400349             NaN  \nmean              NaN                NaN           NaN    1.102545e+03  \nstd               NaN                NaN           NaN    8.649989e+02  \nmin               NaN                NaN           NaN    2.000000e+01  \n25%               NaN                NaN           NaN    5.140000e+02  \n50%               NaN                NaN           NaN    8.720000e+02  \n75%               NaN                NaN           NaN    1.509000e+03  \nmax               NaN                NaN           NaN    4.999000e+03  ","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>Age</th>\n      <th>Gender</th>\n      <th>Annual Income</th>\n      <th>Marital Status</th>\n      <th>Number of Dependents</th>\n      <th>Education Level</th>\n      <th>Occupation</th>\n      <th>Health Score</th>\n      <th>Location</th>\n      <th>Policy Type</th>\n      <th>Previous Claims</th>\n      <th>Vehicle Age</th>\n      <th>Credit Score</th>\n      <th>Insurance Duration</th>\n      <th>Policy Start Date</th>\n      <th>Customer Feedback</th>\n      <th>Smoking Status</th>\n      <th>Exercise Frequency</th>\n      <th>Property Type</th>\n      <th>Premium Amount</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>count</th>\n      <td>1.181295e+06</td>\n      <td>1200000</td>\n      <td>1.155051e+06</td>\n      <td>1181471</td>\n      <td>1.090328e+06</td>\n      <td>1200000</td>\n      <td>841925</td>\n      <td>1.125924e+06</td>\n      <td>1200000</td>\n      <td>1200000</td>\n      <td>835971.000000</td>\n      <td>1.199994e+06</td>\n      <td>1.062118e+06</td>\n      <td>1.199999e+06</td>\n      <td>1200000</td>\n      <td>1122176</td>\n      <td>1200000</td>\n      <td>1200000</td>\n      <td>1200000</td>\n      <td>1.200000e+06</td>\n    </tr>\n    <tr>\n      <th>unique</th>\n      <td>NaN</td>\n      <td>2</td>\n      <td>NaN</td>\n      <td>3</td>\n      <td>NaN</td>\n      <td>4</td>\n      <td>3</td>\n      <td>NaN</td>\n      <td>3</td>\n      <td>3</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>167381</td>\n      <td>3</td>\n      <td>2</td>\n      <td>4</td>\n      <td>3</td>\n      <td>NaN</td>\n    </tr>\n    <tr>\n      <th>top</th>\n      <td>NaN</td>\n      <td>Male</td>\n      <td>NaN</td>\n      <td>Single</td>\n      <td>NaN</td>\n      <td>Master's</td>\n      <td>Employed</td>\n      <td>NaN</td>\n      <td>Suburban</td>\n      <td>Premium</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>2020-02-08 15:21:39.134960</td>\n      <td>Average</td>\n      <td>Yes</td>\n      <td>Weekly</td>\n      <td>House</td>\n      <td>NaN</td>\n    </tr>\n    <tr>\n      <th>freq</th>\n      <td>NaN</td>\n      <td>602571</td>\n      <td>NaN</td>\n      <td>395391</td>\n      <td>NaN</td>\n      <td>303818</td>\n      <td>282750</td>\n      <td>NaN</td>\n      <td>401542</td>\n      <td>401846</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>142</td>\n      <td>377905</td>\n      <td>601873</td>\n      <td>306179</td>\n      <td>400349</td>\n      <td>NaN</td>\n    </tr>\n    <tr>\n      <th>mean</th>\n      <td>4.114556e+01</td>\n      <td>NaN</td>\n      <td>3.274522e+04</td>\n      <td>NaN</td>\n      <td>2.009934e+00</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>2.561391e+01</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>1.002689</td>\n      <td>9.569889e+00</td>\n      <td>5.929244e+02</td>\n      <td>5.018219e+00</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>1.102545e+03</td>\n    </tr>\n    <tr>\n      <th>std</th>\n      <td>1.353995e+01</td>\n      <td>NaN</td>\n      <td>3.217951e+04</td>\n      <td>NaN</td>\n      <td>1.417338e+00</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>1.220346e+01</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>0.982840</td>\n      <td>5.776189e+00</td>\n      <td>1.499819e+02</td>\n      <td>2.594331e+00</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>8.649989e+02</td>\n    </tr>\n    <tr>\n      <th>min</th>\n      <td>1.800000e+01</td>\n      <td>NaN</td>\n      <td>1.000000e+00</td>\n      <td>NaN</td>\n      <td>0.000000e+00</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>2.012237e+00</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>0.000000</td>\n      <td>0.000000e+00</td>\n      <td>3.000000e+02</td>\n      <td>1.000000e+00</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>2.000000e+01</td>\n    </tr>\n    <tr>\n      <th>25%</th>\n      <td>3.000000e+01</td>\n      <td>NaN</td>\n      <td>8.001000e+03</td>\n      <td>NaN</td>\n      <td>1.000000e+00</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>1.591896e+01</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>0.000000</td>\n      <td>5.000000e+00</td>\n      <td>4.680000e+02</td>\n      <td>3.000000e+00</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>5.140000e+02</td>\n    </tr>\n    <tr>\n      <th>50%</th>\n      <td>4.100000e+01</td>\n      <td>NaN</td>\n      <td>2.391100e+04</td>\n      <td>NaN</td>\n      <td>2.000000e+00</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>2.457865e+01</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>1.000000</td>\n      <td>1.000000e+01</td>\n      <td>5.950000e+02</td>\n      <td>5.000000e+00</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>8.720000e+02</td>\n    </tr>\n    <tr>\n      <th>75%</th>\n      <td>5.300000e+01</td>\n      <td>NaN</td>\n      <td>4.463400e+04</td>\n      <td>NaN</td>\n      <td>3.000000e+00</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>3.452721e+01</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>2.000000</td>\n      <td>1.500000e+01</td>\n      <td>7.210000e+02</td>\n      <td>7.000000e+00</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>1.509000e+03</td>\n    </tr>\n    <tr>\n      <th>max</th>\n      <td>6.400000e+01</td>\n      <td>NaN</td>\n      <td>1.499970e+05</td>\n      <td>NaN</td>\n      <td>4.000000e+00</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>5.897591e+01</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>9.000000</td>\n      <td>1.900000e+01</td>\n      <td>8.490000e+02</td>\n      <td>9.000000e+00</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>4.999000e+03</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}],"execution_count":39},{"cell_type":"code","source":"test.describe(include='all')","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:10.220933Z","iopub.execute_input":"2024-12-26T03:11:10.221314Z","iopub.status.idle":"2024-12-26T03:11:11.5695Z","shell.execute_reply.started":"2024-12-26T03:11:10.221275Z","shell.execute_reply":"2024-12-26T03:11:11.568816Z"}},"outputs":[{"execution_count":40,"output_type":"execute_result","data":{"text/plain":"                  Age  Gender  Annual Income Marital Status  \\\ncount   787511.000000  800000  770140.000000         787664   \nunique            NaN       2            NaN              3   \ntop               NaN    Male            NaN         Single   \nfreq              NaN  401089            NaN         263705   \nmean        41.136440     NaN   32803.871471            NaN   \nstd         13.537829     NaN   32201.063749            NaN   \nmin         18.000000     NaN       2.000000            NaN   \n25%         30.000000     NaN    8048.000000            NaN   \n50%         41.000000     NaN   23981.000000            NaN   \n75%         53.000000     NaN   44660.000000            NaN   \nmax         64.000000     NaN  149997.000000            NaN   \n\n        Number of Dependents Education Level Occupation   Health Score  \\\ncount          726870.000000          800000     560875  750551.000000   \nunique                   NaN               4          3            NaN   \ntop                      NaN        Master's   Employed            NaN   \nfreq                     NaN          202552     188574            NaN   \nmean                2.009337             NaN        NaN      25.613036   \nstd                 1.415241             NaN        NaN      12.206882   \nmin                 0.000000             NaN        NaN       1.646561   \n25%                 1.000000             NaN        NaN      15.917353   \n50%                 2.000000             NaN        NaN      24.580164   \n75%                 3.000000             NaN        NaN      34.517766   \nmax                 4.000000             NaN        NaN      57.957351   \n\n        Location Policy Type  Previous Claims    Vehicle Age   Credit Score  \\\ncount     800000      800000    557198.000000  799997.000000  708549.000000   \nunique         3           3              NaN            NaN            NaN   \ntop     Suburban     Premium              NaN            NaN            NaN   \nfreq      267190      267629              NaN            NaN            NaN   \nmean         NaN         NaN         1.004873       9.571891     592.904749   \nstd          NaN         NaN         0.982803       5.772200     150.116374   \nmin          NaN         NaN         0.000000       0.000000     300.000000   \n25%          NaN         NaN         0.000000       5.000000     468.000000   \n50%          NaN         NaN         1.000000      10.000000     595.000000   \n75%          NaN         NaN         2.000000      15.000000     721.000000   \nmax          NaN         NaN         9.000000      19.000000     849.000000   \n\n        Insurance Duration           Policy Start Date Customer Feedback  \\\ncount        799998.000000                      800000            747724   \nunique                 NaN                      158776                 3   \ntop                    NaN  2022-08-30 15:21:39.134960           Average   \nfreq                   NaN                          98            251217   \nmean              5.018949                         NaN               NaN   \nstd               2.593759                         NaN               NaN   \nmin               1.000000                         NaN               NaN   \n25%               3.000000                         NaN               NaN   \n50%               5.000000                         NaN               NaN   \n75%               7.000000                         NaN               NaN   \nmax               9.000000                         NaN               NaN   \n\n       Smoking Status Exercise Frequency Property Type  \ncount          800000             800000        800000  \nunique              2                  4             3  \ntop               Yes             Weekly         House  \nfreq           401859             204514        267151  \nmean              NaN                NaN           NaN  \nstd               NaN                NaN           NaN  \nmin               NaN                NaN           NaN  \n25%               NaN                NaN           NaN  \n50%               NaN                NaN           NaN  \n75%               NaN                NaN           NaN  \nmax               NaN                NaN           NaN  ","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>Age</th>\n      <th>Gender</th>\n      <th>Annual Income</th>\n      <th>Marital Status</th>\n      <th>Number of Dependents</th>\n      <th>Education Level</th>\n      <th>Occupation</th>\n      <th>Health Score</th>\n      <th>Location</th>\n      <th>Policy Type</th>\n      <th>Previous Claims</th>\n      <th>Vehicle Age</th>\n      <th>Credit Score</th>\n      <th>Insurance Duration</th>\n      <th>Policy Start Date</th>\n      <th>Customer Feedback</th>\n      <th>Smoking Status</th>\n      <th>Exercise Frequency</th>\n      <th>Property Type</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>count</th>\n      <td>787511.000000</td>\n      <td>800000</td>\n      <td>770140.000000</td>\n      <td>787664</td>\n      <td>726870.000000</td>\n      <td>800000</td>\n      <td>560875</td>\n      <td>750551.000000</td>\n      <td>800000</td>\n      <td>800000</td>\n      <td>557198.000000</td>\n      <td>799997.000000</td>\n      <td>708549.000000</td>\n      <td>799998.000000</td>\n      <td>800000</td>\n      <td>747724</td>\n      <td>800000</td>\n      <td>800000</td>\n      <td>800000</td>\n    </tr>\n    <tr>\n      <th>unique</th>\n      <td>NaN</td>\n      <td>2</td>\n      <td>NaN</td>\n      <td>3</td>\n      <td>NaN</td>\n      <td>4</td>\n      <td>3</td>\n      <td>NaN</td>\n      <td>3</td>\n      <td>3</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>158776</td>\n      <td>3</td>\n      <td>2</td>\n      <td>4</td>\n      <td>3</td>\n    </tr>\n    <tr>\n      <th>top</th>\n      <td>NaN</td>\n      <td>Male</td>\n      <td>NaN</td>\n      <td>Single</td>\n      <td>NaN</td>\n      <td>Master's</td>\n      <td>Employed</td>\n      <td>NaN</td>\n      <td>Suburban</td>\n      <td>Premium</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>2022-08-30 15:21:39.134960</td>\n      <td>Average</td>\n      <td>Yes</td>\n      <td>Weekly</td>\n      <td>House</td>\n    </tr>\n    <tr>\n      <th>freq</th>\n      <td>NaN</td>\n      <td>401089</td>\n      <td>NaN</td>\n      <td>263705</td>\n      <td>NaN</td>\n      <td>202552</td>\n      <td>188574</td>\n      <td>NaN</td>\n      <td>267190</td>\n      <td>267629</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>98</td>\n      <td>251217</td>\n      <td>401859</td>\n      <td>204514</td>\n      <td>267151</td>\n    </tr>\n    <tr>\n      <th>mean</th>\n      <td>41.136440</td>\n      <td>NaN</td>\n      <td>32803.871471</td>\n      <td>NaN</td>\n      <td>2.009337</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>25.613036</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>1.004873</td>\n      <td>9.571891</td>\n      <td>592.904749</td>\n      <td>5.018949</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n    </tr>\n    <tr>\n      <th>std</th>\n      <td>13.537829</td>\n      <td>NaN</td>\n      <td>32201.063749</td>\n      <td>NaN</td>\n      <td>1.415241</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>12.206882</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>0.982803</td>\n      <td>5.772200</td>\n      <td>150.116374</td>\n      <td>2.593759</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n    </tr>\n    <tr>\n      <th>min</th>\n      <td>18.000000</td>\n      <td>NaN</td>\n      <td>2.000000</td>\n      <td>NaN</td>\n      <td>0.000000</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>1.646561</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>0.000000</td>\n      <td>0.000000</td>\n      <td>300.000000</td>\n      <td>1.000000</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n    </tr>\n    <tr>\n      <th>25%</th>\n      <td>30.000000</td>\n      <td>NaN</td>\n      <td>8048.000000</td>\n      <td>NaN</td>\n      <td>1.000000</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>15.917353</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>0.000000</td>\n      <td>5.000000</td>\n      <td>468.000000</td>\n      <td>3.000000</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n    </tr>\n    <tr>\n      <th>50%</th>\n      <td>41.000000</td>\n      <td>NaN</td>\n      <td>23981.000000</td>\n      <td>NaN</td>\n      <td>2.000000</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>24.580164</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>1.000000</td>\n      <td>10.000000</td>\n      <td>595.000000</td>\n      <td>5.000000</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n    </tr>\n    <tr>\n      <th>75%</th>\n      <td>53.000000</td>\n      <td>NaN</td>\n      <td>44660.000000</td>\n      <td>NaN</td>\n      <td>3.000000</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>34.517766</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>2.000000</td>\n      <td>15.000000</td>\n      <td>721.000000</td>\n      <td>7.000000</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n    </tr>\n    <tr>\n      <th>max</th>\n      <td>64.000000</td>\n      <td>NaN</td>\n      <td>149997.000000</td>\n      <td>NaN</td>\n      <td>4.000000</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>57.957351</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>9.000000</td>\n      <td>19.000000</td>\n      <td>849.000000</td>\n      <td>9.000000</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n      <td>NaN</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}],"execution_count":40},{"cell_type":"markdown","source":"Visualization","metadata":{}},{"cell_type":"code","source":"age_counts = train['Age'].value_counts()\n\nplt.figure(figsize=(12, 8))\nage_counts.sort_index().plot(kind='bar', color='skyblue', width=0.8)  # Sorting by index (Age) for logical order\nplt.title('Frequency Distribution of Age')\nplt.xlabel('Age')\nplt.ylabel('Frequency')\nplt.xticks(rotation=45)\nplt.grid(axis='y', alpha=0.3)\nplt.show()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:11.570532Z","iopub.execute_input":"2024-12-26T03:11:11.570765Z","iopub.status.idle":"2024-12-26T03:11:12.001708Z","shell.execute_reply.started":"2024-12-26T03:11:11.570742Z","shell.execute_reply":"2024-12-26T03:11:12.000973Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1200x800 with 1 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"},"metadata":{}}],"execution_count":41},{"cell_type":"code","source":"plt.figure(figsize=(10, 6))\nsns.histplot(train['Age'], bins=15, kde=True)\nplt.title('Age Distribution')\nplt.xlabel('Age')\nplt.ylabel('Frequency')\nplt.grid(alpha=0.3)\nplt.show()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:12.003043Z","iopub.execute_input":"2024-12-26T03:11:12.003764Z","iopub.status.idle":"2024-12-26T03:11:16.470867Z","shell.execute_reply.started":"2024-12-26T03:11:12.003722Z","shell.execute_reply":"2024-12-26T03:11:16.470089Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1000x600 with 1 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"},"metadata":{}}],"execution_count":42},{"cell_type":"code","source":"plt.figure(figsize=(10,5))\nsns.histplot(train['Premium Amount'], kde=True, bins=50)\nplt.title('Premium Amount Distribution')\nplt.xlabel(\"Premium Amount\")\nplt.ylabel(\"Frequency\")\nplt.tight_layout()\nplt.show()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:16.473537Z","iopub.execute_input":"2024-12-26T03:11:16.473788Z","iopub.status.idle":"2024-12-26T03:11:21.377404Z","shell.execute_reply.started":"2024-12-26T03:11:16.473763Z","shell.execute_reply":"2024-12-26T03:11:21.376505Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1000x500 with 1 Axes>","image/png":"iVBORw0KGgoAAAANSUhEUgAAA94AAAHqCAYAAADyGZa5AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuNSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/xnp5ZAAAACXBIWXMAAA9hAAAPYQGoP6dpAACUdElEQVR4nOzdd3hUZd7G8e+ZmSQz6b2RQugdBBRB7CyoWNcu2BbLurLWtbuuq+4i7oJg5XXtimtbdV0LioCigiBFEEgooQRI773NnPePkJFIgCRkMkm4P9eVC+ec55zzmwkId55mmKZpIiIiIiIiIiIeYfF2ASIiIiIiIiLdmYK3iIiIiIiIiAcpeIuIiIiIiIh4kIK3iIiIiIiIiAcpeIuIiIiIiIh4kIK3iIiIiIiIiAcpeIuIiIiIiIh4kIK3iIiIiIiIiAcpeIuIiIiIiIh4kIK3iIhIMx5++GEMw/B2GeIhHfn9PeWUUzjllFPcr7/++msMw+D999/vkOdfc8019OzZs0OeJSIizVPwFhGRDvPqq69iGIb7y263069fP6ZPn05OTo63y+synE4n8fHxGIbB559/7u1y2l1mZiYPP/wwP/30U4vaN/f7Kj4+nkmTJvHUU09RVlbmlbo6UmeuTUREFLxFRMQLHnnkEd544w2eeeYZxo0bx/PPP8/YsWOprKz0dmluDz74IFVVVd4uo1mLFy8mKyuLnj17Mn/+fG+X0+4yMzP561//2uoQ2fj76vnnn+ePf/wjALfddhtDhw5l/fr1Tdq25fvb1rq+/PJLvvzyy1Zd01qHqu1f//oXmzdv9ujzRUTk0GzeLkBERI4+Z555JqNHjwbguuuuIyIigtmzZ/Pf//6Xyy+/vNlrKioqCAgI6LAabTYbNlvn/GvyzTffZOTIkVx99dXcf//9Hf7ZdFb7/74CuO+++1i8eDFnn3025557LqmpqTgcDqBjvr+VlZX4+/vj6+vr0eccjo+Pj1efLyIi6vEWEZFO4LTTTgNgx44dQMOc1MDAQNLT0znrrLMICgpiypQpALhcLubMmcPgwYOx2+3ExMRw4403UlRU1OSePXv25Oyzz+brr79m9OjROBwOhg4dytdffw3ABx98wNChQ7Hb7YwaNYq1a9c2uf7Xc4B37tyJYRi8+uqrB9RvGAYPP/zwAddu2bKFqVOnEhISQlRUFH/+858xTZPdu3dz3nnnERwcTGxsLLNmzWrxZ1VVVcWHH37IZZddxiWXXEJVVRX//e9/D2jX+BlmZGRw9tlnExgYSI8ePXj22WcB+PnnnznttNMICAggOTmZt95664B7bN++nYsvvpjw8HD8/f05/vjj+fTTT5u0aRzmvXPnzibHG+cxN37e0DDXeciQIWzatIlTTz0Vf39/evTowRNPPNHkumOPPRaAa6+91j18vLnPvSVOO+00/vznP7Nr1y7efPNN9/Hm5ngvXLiQ8ePHExoaSmBgIP379+f+++9vUV2N72316tWcdNJJ+Pv7u6/99RzvRk6nk/vvv5/Y2FgCAgI499xz2b17d5M2PXv25Jprrjng2v3vebjampvjXVFRwZ133kliYiJ+fn7079+ff/7zn5im2aSdYRhMnz6djz76iCFDhuDn58fgwYNZsGBB8x+4iIg0S8FbRES8Lj09HYCIiAj3sfr6eiZNmkR0dDT//Oc/ufDCCwG48cYbueuuuzjhhBOYO3cu1157LfPnz2fSpEnU1dU1ue+2bdu44oorOOecc5gxYwZFRUWcc845zJ8/n9tvv52pU6fy17/+lfT0dC655BJcLle7vq9LL70Ul8vF448/zpgxY3jssceYM2cOv/nNb+jRowczZ86kT58+/OlPf2Lp0qUtuufHH39MeXk5l112GbGxsZxyyikHHW7udDo588wzSUxM5IknnqBnz55Mnz6dV199lTPOOIPRo0czc+ZMgoKCuOqqq9w/+ADIyclh3LhxfPHFF/zhD3/gb3/7G9XV1Zx77rl8+OGHbf5MioqKOOOMMxg+fDizZs1iwIAB3HPPPe656gMHDuSRRx4B4IYbbuCNN97gjTfe4KSTTmrzM6+88kqAQw733rhxI2effTY1NTU88sgjzJo1i3PPPZfvv/++xXUVFBRw5plnMmLECObMmcOpp556yLr+9re/8emnn3LPPfdwyy23sHDhQiZMmNDqIfCt/cxM0+Tcc8/lySef5IwzzmD27Nn079+fu+66izvuuOOA9t999x1/+MMfuOyyy3jiiSeorq7mwgsvpKCgoFV1iogc1UwREZEO8sorr5iA+dVXX5l5eXnm7t27zbffftuMiIgwHQ6HuWfPHtM0TfPqq682AfPee+9tcv23335rAub8+fObHF+wYMEBx5OTk03AXLZsmfvYF198YQKmw+Ewd+3a5T7+f//3fyZgLlmyxH3sL3/5i7n/X5M7duwwAfOVV1454H0B5l/+8pcDrr3hhhvcx+rr682EhATTMAzz8ccfdx8vKioyHQ6HefXVVx/6w9vn7LPPNk844QT36xdeeMG02Wxmbm5uk3aNn+Hf//73A55lGIb59ttvu4+npaUd8B5uu+02EzC//fZb97GysjIzJSXF7Nmzp+l0Ok3T/OV7umPHjibPX7JkyQGf6cknn2wC5uuvv+4+VlNTY8bGxpoXXnih+9iPP/540M+6OY01/PjjjwdtExISYh5zzDHu17/+/j755JMmYObl5R30Hoeqq/G9zZs3r9lzJ598svt142fTo0cPs7S01H383XffNQFz7ty57mPJycnN/t749T0PVdvVV19tJicnu19/9NFHJmA+9thjTdpddNFFpmEY5rZt29zHANPX17fJsXXr1pmA+fTTTx/wLBERaZ56vEVEpMNNmDCBqKgoEhMTueyyywgMDOTDDz+kR48eTdrddNNNTV6/9957hISE8Jvf/Ib8/Hz316hRowgMDGTJkiVN2g8aNIixY8e6X48ZMwZoGH6clJR0wPHt27e36/u87rrr3P9ttVoZPXo0pmkybdo09/HQ0FD69+/fomcXFBTwxRdfNJkHf+GFF2IYBu++++5ha2h8VkBAAJdccon7eP/+/QkNDW1Sw2effcZxxx3H+PHj3ccCAwO54YYb2LlzJ5s2bTpsvc0JDAxk6tSp7te+vr4cd9xx7f7ZN/fcQ61uHhoaCsB///vfNo988PPz49prr21x+6uuuoqgoCD364suuoi4uDg+++yzNj2/pT777DOsViu33HJLk+N33nknpmkesFL+hAkT6N27t/v1sGHDCA4O9vj3TESkO1HwFhGRDvfss8+ycOFClixZwqZNm9i+fTuTJk1q0sZms5GQkNDk2NatWykpKSE6OpqoqKgmX+Xl5eTm5jZpv3+4BggJCQEgMTGx2eO/nid+pJp7vt1uJzIy8oDjLXn2O++8Q11dHccccwzbtm1j27ZtFBYWMmbMmGaHm9vtdqKiog54VkJCwgHzm39dw65du+jfv/8B9xw4cKD7fFs09+ywsLB2/+x/rby8vEnI/bVLL72UE044geuuu46YmBguu+wy3n333VaF8B49erRqIbW+ffs2eW0YBn369Dlgvnx727VrF/Hx8Qd8Hgf73v769zF0zPdMRKQ76ZzLtYqISLd23HHHNVl9ujl+fn5YLE1/PuxyuYiOjj7onOZfh0yr1dpsu4MdN3+1sNT+fh0WGzmdzoNe09xz2vLsRo3v+4QTTmj2/Pbt2+nVq9dhn3UkNfxaaz+X9nx2S+3Zs4eSkhL69Olz0DYOh4OlS5eyZMkSPv30UxYsWMA777zDaaedxpdffnnQun99j/Z2qM+3JTW1B298z0REuhsFbxER6TJ69+7NV199xQknnOCRkHMoYWFhABQXFzc53tae39basWMHy5YtY/r06Zx88slNzrlcLq688kreeustHnzwwXZ5XnJycrN7P6elpbnPg2c+l4OFzbZ64403AA4YVfFrFouF008/ndNPP53Zs2fz97//nQceeIAlS5YwYcKEdq9r69atTV6bpsm2bdsYNmyY+1hYWNgBny00fL77/5ClNbUlJyfz1VdfUVZW1qTX+9ffWxERaT8aai4iIl3GJZdcgtPp5NFHHz3gXH19fbMBpb0EBwcTGRl5wOrjzz33nMeeub/G3u67776biy66qMnXJZdcwsknn3zQkQBtcdZZZ7Fy5UqWL1/uPlZRUcELL7xAz549GTRoEIB77u/+n4vT6eSFF15o87Mb9yRvj+/n4sWLefTRR0lJSXFvSdecwsLCA46NGDECgJqamnavC+D1119vMu/8/fffJysrizPPPNN9rHfv3vzwww/U1ta6j33yyScHbDvWmtrOOussnE4nzzzzTJPjTz75JIZhNHm+iIi0D/V4i4hIl3HyySdz4403MmPGDH766ScmTpyIj48PW7du5b333mPu3LlcdNFFHnv+ddddx+OPP851113H6NGjWbp0KVu2bPHY8/Y3f/58RowYccD89Ebnnnsuf/zjH1mzZg0jR4484ufde++9/Pvf/+bMM8/klltuITw8nNdee40dO3bwn//8xz0NYPDgwRx//PHcd999FBYWEh4ezttvv019fX2bn927d29CQ0OZN28eQUFBBAQEMGbMGFJSUg553eeff05aWhr19fXk5OSwePFiFi5cSHJyMh9//DF2u/2g1z7yyCMsXbqUyZMnk5ycTG5uLs899xwJCQnuBebaWtfBhIeHM378eK699lpycnKYM2cOffr04frrr3e3ue6663j//fc544wzuOSSS0hPT+fNN99ssthZa2s755xzOPXUU3nggQfYuXMnw4cP58svv+S///0vt9122wH3FhGRI6cebxER6VLmzZvHCy+8QG5uLvfffz/33XcfixcvZurUqQed+9xeHnroIaZNm8b777/P3XffjdPpPGAFaE9Ys2YNaWlpnHPOOQdt03juzTffbJdnxsTEsGzZMn7zm9/w9NNPc9999+Hr68v//vc/LrjggiZt58+fz7hx43j88cf5+9//zqmnnsrjjz/e5mf7+Pjw2muvYbVa+f3vf8/ll1/ON998c9jrHnroIa688kpuvPFG5syZg2mazJkzh/Xr1zNkyJBDXnvuueeSlJTEyy+/zM0338yzzz7LSSedxOLFi92L77W1roO5//77mTx5MjNmzGDu3LmcfvrpLFq0CH9/f3ebSZMmMWvWLLZs2cJtt93G8uXL+eSTTw5YeLA1tVksFj7++GNuu+02PvnkE2677TY2bdrEP/7xD2bPnt3m9yMiIgdnmFoZQ0RERERERMRj1OMtIiIiIiIi4kEK3iIiIiIiIiIepOAtIiIiIiIi4kEK3iIiIiIiIiIepOAtIiIiIiIi4kEK3iIiIiIiIiIeZPN2AUcTl8tFZmYmQUFBGIbh7XJERERERESkjUzTpKysjPj4eCyWQ/dpK3h3oMzMTBITE71dhoiIiIiIiLST3bt3k5CQcMg2Ct4dKCgoCGj4xgQHB3u5GhEREREREWmr0tJSEhMT3TnvUBS8O1Dj8PLg4GAFbxERERERkW6gJdOItbiaiIiIiIiIiAcpeIuIiIiIiIh4kIK3iIiIiIiIiAcpeIuIiIiIiIh4kIK3iIiIiIiIiAcpeIuIiIiIiIh4kIK3iIiIiIiIiAcpeIuIiIiIiIh4kIK3iIiIiIiIiAcpeIuIiIiIiIh4kIK3iIiIiIiIiAcpeIuIiIiIiIh4kIK3iIiIiIiIiAcpeIuIiIiIiIh4kIK3iIiIiIiIiAcpeIuIiIiIiIh4kM3bBUjnkpGRQX5+fpuvj4yMJCkpqR0rEhERERER6doUvMUtIyODAQMHUlVZ2eZ7OPz9SUtNVfgWERERERHZR8Fb3PLz86mqrGTKPf8gJql3q6/PyUhn/sy7yM/PV/AWERERERHZR8FbDhCT1JuEvoO9XYaIiIiIiEi3oMXVRERERERERDxIwVtERERERETEgxS8RURERERERDxIwVtERERERETEgxS8RURERERERDxIwVtERERERETEgxS8RURERERERDxIwVtERERERETEgxS8RURERERERDxIwVtERERERETEg7wavJcuXco555xDfHw8hmHw0UcfNTlvmiYPPfQQcXFxOBwOJkyYwNatW5u0KSwsZMqUKQQHBxMaGsq0adMoLy9v0mb9+vWceOKJ2O12EhMTeeKJJw6o5b333mPAgAHY7XaGDh3KZ5991upaRERERERERH7Nq8G7oqKC4cOH8+yzzzZ7/oknnuCpp55i3rx5rFixgoCAACZNmkR1dbW7zZQpU9i4cSMLFy7kk08+YenSpdxwww3u86WlpUycOJHk5GRWr17NP/7xDx5++GFeeOEFd5tly5Zx+eWXM23aNNauXcv555/P+eefz4YNG1pVi4iIiIiIiMivGaZpmt4uAsAwDD788EPOP/98oKGHOT4+njvvvJM//elPAJSUlBATE8Orr77KZZddRmpqKoMGDeLHH39k9OjRACxYsICzzjqLPXv2EB8fz/PPP88DDzxAdnY2vr6+ANx777189NFHpKWlAXDppZdSUVHBJ5984q7n+OOPZ8SIEcybN69FtbREaWkpISEhlJSUEBwc3C6fW3tas2YNo0aN4o5nPyCh7+BWX79n60Zm3/xbVq9ezciRIz1QoYiIiIiISOfQmnzXaed479ixg+zsbCZMmOA+FhISwpgxY1i+fDkAy5cvJzQ01B26ASZMmIDFYmHFihXuNieddJI7dANMmjSJzZs3U1RU5G6z/3Ma2zQ+pyW1iIiIiIiIiDTH5u0CDiY7OxuAmJiYJsdjYmLc57Kzs4mOjm5y3mazER4e3qRNSkrKAfdoPBcWFkZ2dvZhn3O4WppTU1NDTU2N+3Vpaekh3rGIiIiIiIh0R522x7s7mDFjBiEhIe6vxMREb5ckIiIiIiIiHazTBu/Y2FgAcnJymhzPyclxn4uNjSU3N7fJ+fr6egoLC5u0ae4e+z/jYG32P3+4Wppz3333UVJS4v7avXv3Yd61iIiIiIiIdDedNninpKQQGxvLokWL3MdKS0tZsWIFY8eOBWDs2LEUFxezevVqd5vFixfjcrkYM2aMu83SpUupq6tzt1m4cCH9+/cnLCzM3Wb/5zS2aXxOS2ppjp+fH8HBwU2+RERERERE5Oji1eBdXl7OTz/9xE8//QQ0LGL2008/kZGRgWEY3HbbbTz22GN8/PHH/Pzzz1x11VXEx8e7Vz4fOHAgZ5xxBtdffz0rV67k+++/Z/r06Vx22WXEx8cDcMUVV+Dr68u0adPYuHEj77zzDnPnzuWOO+5w13HrrbeyYMECZs2aRVpaGg8//DCrVq1i+vTpAC2qRURERERERKQ5Xl1cbdWqVZx66qnu141h+Oqrr+bVV1/l7rvvpqKightuuIHi4mLGjx/PggULsNvt7mvmz5/P9OnTOf3007FYLFx44YU89dRT7vMhISF8+eWX3HzzzYwaNYrIyEgeeuihJnt9jxs3jrfeeosHH3yQ+++/n759+/LRRx8xZMgQd5uW1CIiIiIiIiLya51mH++jgfbxFhERERER6R66xT7eIiIiIiIiIt2BgreIiIiIiIiIByl4i4iIiIiIiHiQgreIiIiIiIiIByl4i4iIiIiIiHiQgreIiIiIiIiIByl4i4iIiIiIiHiQgreIiIiIiIiIB9m8XYBId5ORkUF+fn6br4+MjCQpKakdKxIREREREW9S8BZpRxkZGQwYOJCqyso238Ph709aaqrCt4iIiIhIN6HgLdKO8vPzqaqsZMo9/yAmqXerr8/JSGf+zLvIz89X8BYRERER6SYUvEU8ICapNwl9B3u7DBERERER6QS0uJqIiIiIiIiIByl4i4iIiIiIiHiQgreIiIiIiIiIByl4i4iIiIiIiHiQgreIiIiIiIiIByl4i4iIiIiIiHiQgreIiIiIiIiIByl4i4iIiIiIiHiQgreIiIiIiIiIByl4i4iIiIiIiHiQgreIiIiIiIiIByl4i4iIiIiIiHiQgreIiIiIiIiIByl4i4iIiIiIiHiQgreIiIiIiIiIByl4i4iIiIiIiHiQgrdIB3OZprdLEBERERGRDmTzdgEiRwvTNFm1q4gVOwrpHRXAiX2jCPTTH0ERERERke5O/+oX6QCmafJ9egGrdxUBsCWnnB35FYxJiWBEYihWi+HlCkVERERExFM01FzEw0zT5Ostee7QPSo5jNhgO3VOk++25fPWygzyymq8XKWIiIiIiHiKgreIB7lcJgtTc1i/pwSA0wZEM75PJJeMTmDCwGgcPlYKK2r53/pMquucXq5WREREREQ8QcFbxINW7SoiNasMw4BJg2MY2iMEAMMwGBwfwlVjkwlx+FBWXc9XqTlo3TURERERke5HwVvEQ0zTZGNmQ0/3qf2jGRAbfEAbu4+Vs4bEYjUM0vMqSC/XH0kRERERke5G/8oX8ZCskmpKq+vxsRoMiA06aLvoYDvj+0YC8HORFd+Y3h1VooiIiIiIdAAFbxEP2ZxTBkCfqEB8rIf+ozY8IYRekQG4MIg89x6q6lwdUaKIiIiIiHQABW8RD3CZsDWnHID+h+jtbmQYBr8ZFIO/1cQnPJ55q0swNeFbRERERKRbUPAW8YDcaoOqOicOHyuJYf4tusbuY+W4yHpMl5NvM6p5d9VuD1cpIiIiIiIdQcFbxAN2VzT80eoXE4jFYrT4ugg/k+KlbwDwl483smXfcHUREREREem6FLxF2pnh48feqoY/Wi0ZZv5rpSv+w4gYX6rrXNw8fw1VtdrfW0RERESkK1PwFmlnjj5jcJoGIQ4fYoPtbbiDyS1jQokK8mNrbjkPf7yx3WsUEREREZGOo+At0s4CBp0CQP+YIAyj5cPM9xdqtzL30hEYBryzajf//WlvO1YoIiIiIiIdScFbpB2V1bhwpIwE2jbMfH/j+kTyx9P6AnDPf9azYW/JEdcnIiIiIiIdz+btAkS6k2W7qzCsNkJ9XIQH+Lb5PqmpqQCcGGbyXawfa7JruPrFZTwxIZIwh/WQ10ZGRpKUlNTmZ4uIiIiISPtS8BZpR6uzagBICHC16frSwjwApk6d6j5m+PoTd9UsCiISmTpvKdn/vg+cdQe9h8Pfn7TUVIVvEREREZFOQsFbpJ2YpsmWwoZAHOVntukeVeWlAEy+8QH6DxvlPl5WB0tyTOgxgBMfep/REU6amz6ek5HO/Jl3kZ+fr+AtIiIiItJJKHiLtJOdBZWU1rgw62sJbfsocwAi4pNJ6Du4ybGA2Eo++mkvGZVWkuJjGJUcdmQPERERERGRDqHF1UTayZpdRQDUZG/D0rbFzA8pKdyfk/tGAbAsPZ+c0ur2f4iIiIiIiLQ7BW+RdrImY1/wzkzz2DOGJYTQNzoQlwkLNmRT52zbXHIREREREek4Ct4i7WRNRjEAtZmbPfYMwzA4bUA0gX42iqvqWLolz2PPEhERERGR9qHgLdIOymvq2ZzdsDBazV7P9XgD2H2sTBwUA8CGzFLS88o9+jwRERERETkyCt4i7WD97mJcJkT6W3CWF3j8eYnh/oxKalhc7avUHCpq6j3+TBERERERaRsFb5F20Di/u1/EES5n3grH9w4nKtCP6joXi9JyO+y5IiIiIiLSOgreIu2gcX53/w4M3jaLhUmDY7AYsCO/gsziqg57toiIiIiItJyCt8gRMk2Ttft6vPtH+HTosyMC/RgUFwzA8u2eH+IuIiIiIiKtp+AtcoR25FdQVFmHr81CSmjHBm+AY1PCsRoGe4qqyK32wAbiIiIiIiJyRBS8RY5Q4zDzoT1C8LF2fPANtvswpEdDr/emYmuHP19ERERERA5NwVvkCDUurDYyKdRrNRzbMxyrxaCg1oI9ZaTX6hARERERkQMpeIscoTW7GoN3mNdqCPCzMTwhBIDQE6dimqbXahERERERkaYUvEWOQHlNPVtyygAYmey94A0wKjkMq2HiF9ePHzNrvFqLiIiIiIj8QsFb5Ais212My4QeoQ5igu1ercXf10afIBcAb28sU6+3iIiIiEgn0amDt9Pp5M9//jMpKSk4HA569+7No48+2iRQmKbJQw89RFxcHA6HgwkTJrB169Ym9yksLGTKlCkEBwcTGhrKtGnTKC8vb9Jm/fr1nHjiidjtdhITE3niiScOqOe9995jwIAB2O12hg4dymeffeaZNy5dRuMw82O8OL97f/2CnLhqq9lZXM/ydG0vJiIiIiLSGXTq4D1z5kyef/55nnnmGVJTU5k5cyZPPPEETz/9tLvNE088wVNPPcW8efNYsWIFAQEBTJo0ierqanebKVOmsHHjRhYuXMgnn3zC0qVLueGGG9znS0tLmThxIsnJyaxevZp//OMfPPzww7zwwgvuNsuWLePyyy9n2rRprF27lvPPP5/zzz+fDRs2dMyHIZ3Suj3FABzjxfnd+/O1QsWGrwB4+fsdXq5GRERERESgkwfvZcuWcd555zF58mR69uzJRRddxMSJE1m5ciXQ0Ns9Z84cHnzwQc477zyGDRvG66+/TmZmJh999BEAqampLFiwgBdffJExY8Ywfvx4nn76ad5++20yMzMBmD9/PrW1tbz88ssMHjyYyy67jFtuuYXZs2e7a5k7dy5nnHEGd911FwMHDuTRRx9l5MiRPPPMMx3+uUjnkZrVML97cHywlyv5Renq/wGwKC2XnfkVXq5GREREREQ6dfAeN24cixYtYsuWLQCsW7eO7777jjPPPBOAHTt2kJ2dzYQJE9zXhISEMGbMGJYvXw7A8uXLCQ0NZfTo0e42EyZMwGKxsGLFCnebk046CV9fX3ebSZMmsXnzZoqKitxt9n9OY5vG58jRp6y6jr3FVQD0jwnycjW/qC/cy8g4P0wTXl2209vliIiIiIgc9WzeLuBQ7r33XkpLSxkwYABWqxWn08nf/vY3pkyZAkB2djYAMTExTa6LiYlxn8vOziY6OrrJeZvNRnh4eJM2KSkpB9yj8VxYWBjZ2dmHfE5zampqqKn5ZXXp0tLSFr936fy25DSsExAd5EdYgO9hWness/sGsCarhvdW7eaOif0Itvt4uyQRERERkaNWp+7xfvfdd5k/fz5vvfUWa9as4bXXXuOf//wnr732mrdLa5EZM2YQEhLi/kpMTPR2SdKONmc3DDPvH9t5ersbDY/xpW90IBW1Tt79cbe3yxEREREROap16uB91113ce+993LZZZcxdOhQrrzySm6//XZmzJgBQGxsLAA5OTlNrsvJyXGfi42NJTc3t8n5+vp6CgsLm7Rp7h77P+NgbRrPN+e+++6jpKTE/bV7twJQd7I5u2EEw4BOGLwNw+B34xtGcby6bCdOl7YWExERERHxlk4dvCsrK7FYmpZotVpxuRr2Kk5JSSE2NpZFixa5z5eWlrJixQrGjh0LwNixYykuLmb16tXuNosXL8blcjFmzBh3m6VLl1JXV+dus3DhQvr3709YWJi7zf7PaWzT+Jzm+Pn5ERwc3ORLuo80d4935/y+XnBMD8L8fdhTVMXCTTmHv0BERERERDyiUwfvc845h7/97W98+umn7Ny5kw8//JDZs2dzwQUXAA29erfddhuPPfYYH3/8MT///DNXXXUV8fHxnH/++QAMHDiQM844g+uvv56VK1fy/fffM336dC677DLi4+MBuOKKK/D19WXatGls3LiRd955h7lz53LHHXe4a7n11ltZsGABs2bNIi0tjYcffphVq1Yxffr0Dv9cxPtM02RzTkPw7ow93gB2HytXjEkC4OXvtLWYiIiIiIi3dOrF1Z5++mn+/Oc/84c//IHc3Fzi4+O58cYbeeihh9xt7r77bioqKrjhhhsoLi5m/PjxLFiwALvd7m4zf/58pk+fzumnn47FYuHCCy/kqaeecp8PCQnhyy+/5Oabb2bUqFFERkby0EMPNdnre9y4cbz11ls8+OCD3H///fTt25ePPvqIIUOGdMyHIZ1KblkNxZV1WAzoEx3o7XIO6srje/LC0u2s3FnIqp2FjO4Z7u2SRERERESOOp06eAcFBTFnzhzmzJlz0DaGYfDII4/wyCOPHLRNeHg4b7311iGfNWzYML799ttDtrn44ou5+OKLD9lGjg6Nw8x7RgZg97F6uZqDiw2xc9GoBP69cjdPL97Ga787ztsliYiIiIgcdTr1UHORzqozL6z2azed3AerxeCbLXms31Ps7XJERERERI46Ct4ibdDY490vpvMH76QIf84b3rCewTOLt3m5GhERERGRo4+Ct0gbbOnkC6v92h9O7YNhwJebckjb11svIiIiIiIdQ8FbpJWcLpOtOeVA591K7Nf6RAdy1tA4QL3eIiIiIiIdTcFbpJV2FlRQU+/C7mMhKdzf2+W02PRT+wDw6c9ZpOeVe7kaEREREZGjh4K3SCtt3m9+t9VieLmalhsYF8yEgTGYJjy3JN3b5YiIiIiIHDUUvEVaqXFhtf5dYGG1X/vjaQ293h+u3cOmTM31FhERERHpCAreIq3UuJVY/y6ysNr+hieGMnloHC4T/vzfDbhcprdLEhERERHp9hS8RVqpcaj5gC6ysNqvPXj2QPx9razeVcT7q/d4uxwRERERkW5PwVukFSpr69lVWAl0zR5vgLgQB7dP6AfAjM9TKaqo9XJFIiIiIiLdm4K3SCtszSnHNCE8wJfIQF9vl9Nm15zQk/4xQRRV1vHEF5u9XY6IiIiISLdm83YBIl3J5pxfFlYzjM67onlqauph21w5yJcHc+DtlRkMD6qgX0TDDxIiIyNJSkrydIkiIiIiIkcNBW+RVmic391Zh5mXFuYBMHXq1Ba1jzjrNgKHTuD2+SvIfv0OMF04/P1JS01V+BYRERERaScK3iKtsCWncWG1zhm8q8obVlyffOMD9B826rDtq53wZaYJsX04b8YHBBZtZf7Mu8jPz1fwFhERERFpJwreIq2wLbccgL4xgV6u5NAi4pNJ6Du4RW0rA4tZsjmPTWW+/KZHbw9XJiIiIiJy9NHiaiItVFFTT1ZJNQC9Ijt38G6NIT1CiA7yo7bexc9FVm+XIyIiIiLS7Sh4i7TQjvwKACICfAkL6Lormv+axTA4dUA0ABmVVvwSh3i5IhERERGR7kXBW6SF0vMahpn3igrwciXtLzbYztAeIQCET7yJepfp5YpERERERLoPBW+RFkrfN7+7d1T3GWa+v3G9I/CzmPhGJvPJlgpvlyMiIiIi0m0oeIu0UHpeQxjtrsHb7mNlaKgTgHc2lpNbVu3likREREREugcFb5EWahxq3ju6+w01b5QU4KImM40ap8mL3+7wdjkiIiIiIt2CthMT+ZWMjAzy8/ObHHO6TLbnNezhXZ27izWVe5u9NjU11eP1eZJhQPH3bxNz8cO8+cMufn9yb8K70UJyIiIiIiLeoOAtsp+MjAwGDBxIVWVlk+O2kBh6/P4lzPo6Jp8yFkzXIe9TXl7uyTI9qnr7KnqF2dheVM/L3+3gT5P6e7skEREREZEuTcFbWmz9nmJ+2F7IucPjiQ2xe7scj8jPz6eqspIp9/yDmKTe7uPZVQbf50GIw8odz7x/0OtTV37D56/Npbq6a8+PvmhgEE8sK+K1ZTu5/qRehDh8vF2SiIiIiEiXpeAtLVLvcvHD9kKq6pysySjirKFx3i7Jo2KSepPQd7D7dV5GEeTlEx0aTELfg7/3nIz0jijP447r4Uf/mCA255Tx2rKd3HJ6X2+XJCIiIiLSZWlxNWmRbbnlVNU1rHi9Pb+CmnqnlyvqWIWVtQCEBRwdPb8Ww+Dm0/oA8PL3OyivqfdyRSIiIiIiXZeCt7TI+j0l7v92ukz31lpHi6KKOgDC/Y+ehcYmD42jV2QAxZV1vLF8l7fLERERERHpshS85bDyymrIKqnGYsCwHiEApGWXermqjlXk7vE+eoK31WLwh1Mber1f/HY7VbVH1ygHEREREZH2ouAth7V+TzEAfaICGZkcBsCewioqjpLhxzV1Tir3hc5Q/6NjqHmj80bEkxDmoKCilg/W7vF2OSIiIiIiXZKCtxxSTb2TtOyG/auHJYQS4vAhLsSOCWzOKfNucR2kqLJhmHmAnxU/m9XL1XQsH6uFa8b1BODV73dimqZ3CxIRERER6YIUvOWQUrPKqHeZRAT4Eh/asIVY/9ggADZnHx3B272w2lE0v3t/lxybSICvla255Xy3Ld/b5YiIiIiIdDkK3nJQpmm6h5kPTQjBMAwA+kUHYTEgt6yGwopaL1bYMYr2vcejaWG1/QXbfbhoVAIAr3y/07vFiIiIiIh0QQreclB7iqooqqzDx2owYF8vN4DD10pSuD9wdPR6H40Lq/3a1fuGmy9Oy2VH/tG1or2IiIiIyJFS8JaD2pTVsHL5gNjgA+Y2D4gNBhpWN+/u834btxILO8oWVttfr6hATu0fBcBry3Z6txgRERERkS5GwVsOqnEYec8I/wPO9YoKwMdqUFpdT1ZJdUeX1mGcLpPiKvV4A1x7QgoA763aTWl1nZerERERERHpOhS85aDK920XFmi3HXDOx2qhV1QgADsLuu/Q49LqOlwm2CwGQX4Hfg5HkxP7RtInOpCKWifvrdLWYiIiIiIiLaXgLc1yukz33tWBBwmccSENq5znldV0WF0drXFhtbAAX/fickcrwzDcW4u9tmwnTlf3nmIgIiIiItJeju4uPDmoin293VbDwOHT/N7VUYF+AOSXd9+VzRv38D7a5nenpqY2e7yXxUWAj0FGYSX/+nQ5x/WwN9suMjKSpKQkT5YoIiIiItJlKHhLsxqHmQf4WQ/a0xu5L3iX19RTVefssNo6UuM896NlD+/SwjwApk6detA2oSdfTcjxF/Pw29+S89a9zbZx+PuTlpqq8C0iIiIigoK3HIR7fvch5jX72iyEOHwoqaojv6yG7jgQ272V2FESvKvKG1ayn3zjA/QfNqr5NvXweaaJPXEI18z+kHC/pkPOczLSmT/zLvLz8xW8RURERERQ8JaDONTCavuLCvSjpKqOvPIaojuisA7WGLzDj7IVzSPik0noO/ig57e7sknLLmMvYQzrG9eBlYmIiIiIdD1aXE2a1ZIeb4DIoIZAmt8NF1irqnNSXecCIPQom+N9OCOTwgDYmluurcVERERERA5DwVuaVV7dsuDduMBaXnn3C97F+3q7A/1s+Fj1R2V/UUF+JIY5ME34aXext8sREREREenUlCakWS3v8W4I3oUVtXS33aUaVzRXb3fzGnu9N+4tpaa+ey6uJyIiIiLSHhS8pVktneMd5GfDz2bBZUJpXfdaXq34KFtYrbWSI/wJD/Cl1uli495Sb5cjIiIiItJpKXjLAUzzl328D9fjbRiGe7h5SW33Ct5FFUfnHt4tZRgGxySFArB2dzHO7jbkQURERESknSh4ywFqXOAywQD8fQ+/8H3jcPPibtbjXVSlHu/DGRAThMPHSnlNPdtyy71djoiIiIhIp6TgLQeocjYEaH8/K1bL4cN0d+zxNk0o1hzvw7JZLQxPCAFgTUYRpqlebxERERGRX1PwlgNUNYwyP+ww80aNW4p1px7vSic4XSYWA4IdCt6HMjQhBKvFILeshsziam+XIyIiIiLS6Sh4ywEae7xbGrzDA3yxGFDnMrAGRXqytA5Tvu+HCKEOXyxG9/mBgif4+9oYGBcENPR6i4iIiIhIUwrecoDWBm+bxUJYQEOvt290L4/V1ZHK6hs+g7AA9Xa3xMjEhq3FtudXUFbn5WJERERERDoZBW85QGuHmsMv87x9o1M8UVKHc/d4a2G1FgkL8CUlMgCArWVWL1cjIiIiItK5tCl4b9++vb3rkE7E3eN9mD2899cYvH1iulePtxZWa7mR+7YW21VhweII9m4xIiIiIiKdSJuCd58+fTj11FN58803qa7WYkrdTWuHmsMvW4r5RnWvHm9tJdZyPUIdRAf54TINgo45y9vliIiIiIh0Gm0K3mvWrGHYsGHccccdxMbGcuONN7Jy5cr2rk28pMrZ8Gtbhpr7hMdTVefyRFkdxrD5UrnvMwhTj3eLGYbByKSGud5BIydT69TWYiIiIiIi0MbgPWLECObOnUtmZiYvv/wyWVlZjB8/niFDhjB79mzy8vLau07pIBa/AJxm63u8Hb5WHNaGoLWrpN4jtXUUW2gcYOBns+Dw0Xzl1ugTHYjDamINCOPbXVXeLkdEREREpFM4osXVbDYbv/3tb3nvvfeYOXMm27Zt409/+hOJiYlcddVVZGVltVed0kEatwOz+1iwWVv32yPEpyF47yju2sta+4T3ABrmdxvaSqxVrBaDPkENwwU+3lKBaarXW0RERETkiIL3qlWr+MMf/kBcXByzZ8/mT3/6E+np6SxcuJDMzEzOO++89qpTOog1KAJoXW93oxDffT3exV28x3tf8Nb87rZJCXThqqlkd2k932zR6BcRERERkTYF79mzZzN06FDGjRtHZmYmr7/+Ort27eKxxx4jJSWFE088kVdffZU1a9a0d73iYbZ9Pd5tCd7B+3q895R17eDto+B9RHwsUL7+SwBe/HaHl6sREREREfG+NgXv559/niuuuIJdu3bx0UcfcfbZZ2OxNL1VdHQ0L730UrsUKR3nSHq8G4P37pK6Lj3E2LbfUHNpm9JV/8ViwHfb8tmUWertckREREREvKr16QrYunXrYdv4+vpy9dVXt+X24kXWI+jxDrSZmKaLsloLBRW1RO5b6byrUY/3kXOW5jE2wc73u6t58bvtzL5khLdLEhERERHxmjb1eL/yyiu89957Bxx/7733eO211464KPEeW2OPt731wdtmgfribAC25pS3a10dpazGhdURDKjH+0id2z8AgP+tyySntNrL1YiIiIiIeE+bgveMGTOIjIw84Hh0dDR///vfj7go8R5rYNuHmgPU5e8GYFtuWbvV1JH27puf7rCa+LRyVXdpqm+4L8f1DKfOafLqsp3eLkdERERExGvalCwyMjJISUk54HhycjIZGRlHXNT+9u7dy9SpU4mIiMDhcDB06FBWrVrlPm+aJg899BBxcXE4HA4mTJhwwFD4wsJCpkyZQnBwMKGhoUybNo3y8qY9suvXr+fEE0/EbreTmJjIE088cUAt7733HgMGDMButzN06FA+++yzdn2vncGRDDUHqCto+P5v6aI93pn7gnegrevOUe9Mrjux4f8T83/YRUVN1150T0RERESkrdoUvKOjo1m/fv0Bx9etW0dERMQRF9WoqKiIE044AR8fHz7//HM2bdrErFmzCAsLc7d54okneOqpp5g3bx4rVqwgICCASZMmUV39y9DWKVOmsHHjRhYuXMgnn3zC0qVLueGGG9znS0tLmThxIsnJyaxevZp//OMfPPzww7zwwgvuNsuWLePyyy9n2rRprF27lvPPP5/zzz+fDRs2tNv79baaehOrIwho21Bz+KXHe2sX7fFuDN5BPgre7eH0gTH0jPCntLqe/6zZ4+1yRERERES8ok3B+/LLL+eWW25hyZIlOJ1OnE4nixcv5tZbb+Wyyy5rt+JmzpxJYmIir7zyCscddxwpKSlMnDiR3r17Aw293XPmzOHBBx/kvPPOY9iwYbz++utkZmby0UcfAZCamsqCBQt48cUXGTNmDOPHj+fpp5/m7bffJjMzE4D58+dTW1vLyy+/zODBg7nsssu45ZZbmD17truWuXPncsYZZ3DXXXcxcOBAHn30UUaOHMkzzzzTbu/X2wqqnADYDBPfNg6zrsvfBcC23K7a493wGajHu31YLQbXntDQ6/3asp1derV7EREREZG2alO6evTRRxkzZgynn346DocDh8PBxIkTOe2009p1jvfHH3/M6NGjufjii4mOjuaYY47hX//6l/v8jh07yM7OZsKECe5jISEhjBkzhuXLlwOwfPlyQkNDGT16tLvNhAkTsFgsrFixwt3mpJNOwtf3l1WsJ02axObNmykqKnK32f85jW0an9OcmpoaSktLm3x1Zo3B224FwzDadI+6woZezfzyWgoratutto6yVz3e7e7CUQkE+tlIz6vgu2353i5HRERERKTDtSl4+/r68s4775CWlsb8+fP54IMPSE9P5+WXX24SXo/U9u3bef755+nbty9ffPEFN910E7fccot75fTs7IYVtGNiYppcFxMT4z6XnZ1NdHR0k/M2m43w8PAmbZq7x/7POFibxvPNmTFjBiEhIe6vxMTEVr3/jlZQ2RC8Hda2h06zroboACsAW3O61nBzp8skq1zBu70F+tm4aFQC0NDrLSIiIiJytGnbRN59+vXrR79+/dqrlgO4XC5Gjx7t7kU/5phj2LBhA/PmzesSe4Tfd9993HHHHe7XpaWlnTp8F1a5APA/wmHWCcE2ciucbM0tZ0yv9pvz72m7Cyupd4GrrgZ/a9t6/KV5V41N5tVlO1mUlktGQSVJEf7eLklEREREpMO0KXg7nU5effVVFi1aRG5uLi6Xq8n5xYsXt0txcXFxDBo0qMmxgQMH8p///AeA2NhYAHJycoiLi3O3ycnJYcSIEe42ubm5Te5RX19PYWGh+/rY2FhycnKatGl8fbg2jeeb4+fnh5+fX4vea2ew/1DzI5EUbGNNVk2Xm+edntdQb33hXozeCV6upnvpFRXISf2iWLoljzd+2MkDkwcd/iIRERERkW6iTUPNb731Vm699VacTidDhgxh+PDhTb7aywknnMDmzZubHNuyZQvJyckApKSkEBsby6JFi9znS0tLWbFiBWPHjgVg7NixFBcXs3r1anebxYsX43K5GDNmjLvN0qVLqaurc7dZuHAh/fv3d6+gPnbs2CbPaWzT+JzuoD2GmkNDjzd0vZXNG4N34zx1aV/XjGv4c/vOj7uprNXWYiIiIiJy9GhTj/fbb7/Nu+++y1lnndXe9TRx++23M27cOP7+979zySWXsHLlSl544QX3Nl+GYXDbbbfx2GOP0bdvX1JSUvjzn/9MfHw8559/PtDQQ37GGWdw/fXXM2/ePOrq6pg+fTqXXXYZ8fHxAFxxxRX89a9/Zdq0adxzzz1s2LCBuXPn8uSTT7prufXWWzn55JOZNWsWkydP5u2332bVqlVNthzr6gr2DTU/0uCd2Bi8u9he3o099HUFCt6ecEq/aJIj/NlVUMlHazO5YkySt0sSEREREekQbV5crU+fPu1dywGOPfZYPvzwQ/79738zZMgQHn30UebMmcOUKVPcbe6++27++Mc/csMNN3DsscdSXl7OggULsNvt7jbz589nwIABnH766Zx11lmMHz++SWAOCQnhyy+/ZMeOHYwaNYo777yThx56qMle3+PGjeOtt97ihRdeYPjw4bz//vt89NFHDBkyxOOfQ0e5fEgghQvnEerbPj3euWU1lFTWHaZ155GeVwFAXcFuL1fSPVksBlce39Drra3FRERERORo0qYe7zvvvJO5c+fyzDPPtHnbqZY6++yzOfvssw963jAMHnnkER555JGDtgkPD+ett9465HOGDRvGt99+e8g2F198MRdffPGhC+7CRsbZKVvzCf7TfndE93H4WOgR6mBvcRVbc8sY3TO8nSr0HNM01ePdAS4encisL7ewOaeM5dsLGNc70tsliYiIiIh4XJuC93fffceSJUv4/PPPGTx4MD4+Pk3Of/DBB+1SnHRdfaID9wXv8i4RvAsqaimpqsMA6ov2erucbiE1NbXZ4ycl+fFFeiWPf7yWh09uftX7yMhIkpI0FF1EREREuoc2Be/Q0FAuuOCC9q5FupG+0YF8syWvy8zzTt/X2x0dYGVnfa2Xq+naSgvzAJg6dWqz563B0fS44QXW58C4866iZs/GA9o4/P1JS01V+BYRERGRbqFNwfuVV15p7zqkm+kbEwh0nZXNG+d39wg6oq3tBagqLwVg8o0P0H/YqGbbrCk02FEOQ383g5Nimq5wnpORzvyZd5Gfn6/gLSIiIiLdQptTRn19PV9//TXp6elcccUVBAUFkZmZSXBwMIGBge1Zo3RBfWOCgK6zsnnj/O4ewQre7SUiPpmEvoObPRdcXceuZTvJq7FAZAoJYf4dXJ2IiIiISMdp06rmu3btYujQoZx33nncfPPN5OU1DC2dOXMmf/rTn9q1QOma+kQ3/PAlu7Sa0urOv7J54x7eCerx7hDBdh8Gx4cA8MP2Qq1wLiIiIiLdWpuC96233sro0aMpKirC4XC4j19wwQUsWrSo3YqTrivY7kNscMOWbo29yZ1ZY/BWj3fHObZnGFbDYG9xFXuKqrxdjoiIiIiIx7QpeH/77bc8+OCD+Pr6Njnes2dP9u7VitDSwD3PO6dzz/OuqnWyt7gh+PUIsnq5mqNHkN2HIT2CAVi+vUC93iIiIiLSbbUpeLtcLpxO5wHH9+zZQ1BQ0BEXJd1D3+iG3wtbOvk87+355ZgmhPn7EGJX8O5Io3uGY7UYZJVUs6uw0tvliIiIiIh4RJuC98SJE5kzZ477tWEYlJeX85e//IWzzjqrvWqTLq5/bEOP95ZO3uPduKJ57ygtCtjRAv1sDOvRMNd7cVouNXUH/kBPRERERKSra1PwnjVrFt9//z2DBg2iurqaK664wj3MfObMme1do3RRA2IbhhGnZnXu4N04B13B2zuO7xVBiMOHsup6Fm/ORSPORURERKS7adNKUgkJCaxbt463336b9evXU15ezrRp05gyZUqTxdbk6NYvJgjDgPzyGvLKaogK8vN2Sc1qXFitYSX2Yq/WcjTytVk4Y3As767ezZaccoIj2vTzQBERERGRTqvNSzjbbDamTp3anrVIN+PwtZISEcD2/Ao2Z5d13uDd2OMdHQCVxd4t5igVG2Ln+JQIlm8v4KdCK7aQGG+XJCIiIiLSbtoUvF9//fVDnr/qqqvaVIx0PwPigtieX0Fadinj+0Z6u5wDOF0m2/N/meNdsMvLBR3FRvcMY1dhBZnF1USecxf1Lo05FxEREZHuoU3B+9Zbb23yuq6ujsrKSnx9ffH391fwFrcBscF89nN2p53nvbeoitp6F742Cwlh/greXmQxDCYNjuXNZTugxwDeWF/GcaO9XZWIiIiIyJFrU/AuKio64NjWrVu56aabuOuuu464KOk+BsQ2bCmWll3q5Uqa1zi/u1dkAFaL4eVqJNjuw8iIelbk+/C/LRVEvf0tZ/cLaPV9IiMjSUpK8kCFIiIiIiKt1+Y53r/Wt29fHn/8caZOnUpaWlp73Va6uIFxDSubb80pp97pwmbtXAtnaUXzzie4OpeirxcSdso1vLS2mJl/vZ/KtO9adQ+Hvz9pqakK3yIiIiLSKbRb8IaGBdcyMzPb85bSxfUIdRDoZ6O8pp4d+RX0jQnydklNNPZ4945W8O4sqspLKV3xPr3HnkGhXywx593D+OvvJMresjnfORnpzJ95F/n5+QreIiIiItIptCl4f/zxx01em6ZJVlYWzzzzDCeccEK7FCbdg8Vi0C8mkDUZxaRml3Xe4B3V+uHM4llDQl3sDQwgPa+CHwr9uHhUApGBnXNlfBERERGRQ2lT8D7//PObvDYMg6ioKE477TRmzZrVHnVJNzIgLpg1GcWkZZVy7vB4b5fjZpomWzXUvNMyDDhjcCwfrt1LZkk1/1uXyeXHJWH3sXq7NBERERGRVmlT8Ha5XO1dh3RjA90LrHWulc1zy2oorqzDYkAfDTXvlGxWC+cMj+ftH3dTUlXH5xuyOW9EPBZDC+GJiIiISNfRuVa6km5pwL4F1tKyOtfK5qn76ukVFahe1E7M7mNl8tA4bBaDjMJKlqcXeLskEREREZFWaVOP9x133NHitrNnz27LI6Qb6b+vxzuzpJqSyjpC/H28XFGDxh74xi3PpPOKCvJjwsAYFmzMZtWuImKC7RqlICIiIiJdRpuC99q1a1m7di11dXX0798fgC1btmC1Whk5cqS7naHhoELD3sw9Qh3sLa5ic04Zx6WEe7sk4Jce+MYtz6Rz6x8bRE5pNWt3F/PlpmzC/BOJ0GJrIiIiItIFtCl4n3POOQQFBfHaa68RFhYGQFFREddeey0nnngid955Z7sWKV3fwLgg9hZXkZZd2nmCt3q8u5zxfSLJK6thT3EVn2/I5rJjEzvd3vAiIiIiIr/Wpn+xzpo1ixkzZrhDN0BYWBiPPfaYVjWXZg2IbehVTs3qHAus1da72LZvRfMB6vHuMiwWgzOHxuLwsVJQUcvy7ZrvLSIiIiKdX5uCd2lpKXl5eQccz8vLo6yscwQr6VwGxDWubN45FlhLzyun3mUSbLcRH2L3djnSCv6+NiYMjAZgTUYxe4oqvVyRiIiIiMihtSl4X3DBBVx77bV88MEH7Nmzhz179vCf//yHadOm8dvf/ra9a5RuoLHHe3N2GS6X6eVqfvkBwIC4YK1F0AX1igpk0L6RCgs35VBT7/RyRSIiIiIiB9em4D1v3jzOPPNMrrjiCpKTk0lOTuaKK67gjDPO4LnnnmvvGqUb6Bnhj5/NQmWtk92doIeyccj7QM3v7rJO6hdJsN1GaXU9S7fke7scEREREZGDalPw9vf357nnnqOgoMC9wnlhYSHPPfccAQEB7V2jdAM2q4V+MQ0htzPM827cw1vzu7suP5uViYNiAdiUVUp6XrmXKxIRERERad4RLQeclZVFVlYWffv2JSAgANP0/hBi6bwaVw/vDPO8taJ599AjzMGopIZFHhduyqGkqs7LFYmIiIiIHKhNwbugoIDTTz+dfv36cdZZZ5GVlQXAtGnTtJWYHFRj7/KGvSVerSO/vIa8shoMA3cvvHRdx/cOJybYj5p6F5+sz6Te5e2KRERERESaalPwvv322/Hx8SEjIwN/f3/38UsvvZQFCxa0W3HSvRyTFAo0rETtzdERm/f1dieH+xPg16at7KUTsVksTB4ah8PHSn55LWsKrd4uSURERESkiTYF7y+//JKZM2eSkJDQ5Hjfvn3ZtWtXuxQm3c+Q+BD8bBYKK2rZnl/htTrc87tjNb+7uwiy+3DW0FgMA3ZXWgkadY63SxIRERERcWtT8K6oqGjS092osLAQPz+/Iy5Kuidfm4XhCaEArN5V5LU63PO74zTMvDtJCPPnxD6RAISddh0bcmu8XJGIiIiISIM2Be8TTzyR119/3f3aMAxcLhdPPPEEp556arsVJ93PqJ4NC2Gt3unN4K0e7+5qRGIoif5ODIuVR5YW8uK32zvFvvEiIiIicnRr0wTXJ554gtNPP51Vq1ZRW1vL3XffzcaNGyksLOT7779v7xqlGxmd3BC8V+0q9Mrz650utuQ0bDs1UD3e3Y5hGIwMd7J53Sr8+47hsU9TWbI5l1kXjyA2xO7t8kRERETkKNWmHu8hQ4awZcsWxo8fz3nnnUdFRQW//e1vWbt2Lb17927vGqUbGblv66f0vAqKKmo7/Pk7CyqorXfh72slMezA6RLS9dkskPfBo9w4Khi7j4XvtxUwac5Snl2yjW+25JFbVq2tD0VERESkQ7W6x7uuro4zzjiDefPm8cADD3iiJunGwgJ86R0VQHpeBat3FTFhUEyHPj81q2F+d//YICwWo0OfLR1rUu8ALjnlGG57+yd+3lvCP77Y7D4XEeDLgLggBsYGMyAumIFxQfSLCcLH2qafRYqIiIiIHFKrg7ePjw/r16/3RC1ylBidHE56XgWrvBC8G+d3D4zT/O6jQe+oQP5z0zjeWrGLH3cVkZZVyo78Cgoqavl+WwHfbytwt00K9+eZK45h2L4FAEVERERE2kub5nhPnTqVl156iccff7y965GjwKieYbyzajervTDPO21fj/fAWM3vPlr42ixcc0IK15yQAkBVrZOtuWWkZpWSmlVGWnYpGzNLySis5KLnl/PQOYOYMiYJw9CICBERERFpH20K3vX19bz88st89dVXjBo1ioCAgCbnZ8+e3S7FSffUuMDauj0l1NQ78bNZO+zZv2wlph7v7i41NfWQ5/taoW8CnJvgR0VtBE//WMzKvTU8+NEGvtm4h7lXjsHft03/ixQRERERaaJV/6rcvn07PXv2ZMOGDYwcORKALVu2NGmjXiI5nJTIAMIDfCmsqGVjZql7wTVPyy2rZm9xFYYBA9Tj3W2VFuYBDSNzWivo2AsIO+UaFm4t5rynvuF/t56C3afjfjAkIiIiIt1Tq4J33759ycrKYsmSJQBceumlPPXUU8TEdOw8XenaDMNgZFIYX6XmsHpnUYcF78a9wwfEBhNk9+mQZ0rHqypvmMc/+cYH6D9sVKuv35Kxm58qQtlKKHO+2sq9Zw5o7xJFRERE5CjTquD96y14Pv/8cyoqKtq1IDk6jO7ZELxX7Srkenp1yDN/3Be8G4e6S/cWEZ9MQt/Bbbp20ZOPE33hQ/zr2+2cPSyOIT1C2rk6ERERETmaHNHeOdoLV9qqMfyu3lXUYb+PGhdzG91TwVsOrWrbSsYl2HG6TO75z3rqnS5vlyQiIiIiXVirgrdhGAfM4dacbmmLIT1C8LVayC+vZVdBpcefV1lbz4bMhiHIo3uGe/x50vVdNzKYEIcPGzNL+de3O7xdjoiIiIh0Ya0ean7NNdfg5+cHQHV1Nb///e8PWNX8gw8+aL8KpVuy+1gZ0iOYNRnFrNpVRM/IgMNfdAR+2l2M02USH2KnR6jDo8+S7iHUbuXByQO56/31zPlqC2cMiSXFw79PRURERKR7alWP99VXX010dDQhISGEhIQwdepU4uPj3a8bv0RaorHnuSP28161b373KPV2SytcNCqBE/tGUlPv4r4P1mt6jYiIiIi0Sat6vF955RVP1SFHoeN7hfPC0u0sTsvF5TKxWDw3bWHVrobgfazmd0srGIbB3y8YysQnl/LD9kK+Ss3lN4O0i4OIiIiItM4RLa4mciRO6BNJkN1GTmkNP+70XK+302WyZl/wHqUVzaWVEsP9ueaEngA8uXCLer1FREREpNUUvMVr/GxWJg6KBeCT9Vkee87m7DLKa+oJ9LMxIDbYY8+R7uuGE3sR4GtlU1YpX2zM8XY5IiIiItLFtGqouUhLpKamtrjtwIBqAD5eu5tzE2qwWgwiIyNJSkpqt3pW7ZtDfkxSKFYPDmeX7isswJffjU/h6cXbmPPVFiYOivHo1AgRERER6V4UvKXdlBbmATB16tSWX2SxkjD9DUoI5qQLf0d1xnoc/v6kpaa2W/j+cWfj/G4trCZtd934Xrz6/U7SsstYsDGbs4bGebskEREREekiFLyl3VSVN+yTPfnGB+g/bFSLr1tdYGVnBRx//aP0KN/C/Jl3kZ+f3+bgnZGRQX5+vvv18q0NQ4ND6vJZs6bskNe2prdeji4h/j78bnwKcxdt5cmFW5g0OFYjKERERESkRRS8pd1FxCeT0Hdwi9u7IirZuXYvWTU+jEjsfUTPzsjIYMDAgVRVVgJgDYoi4Q+vYLqcXHvuqZh1NS26T3l5+RHVId3T78an8PL3O9iaW86nP2dx7vB4b5ckIiIiIl2Agrd4XUKoA4ePlao6J3nVR9aDmJ+fT1VlJVPu+QcxSb3ZXWFhZQGE2w0umvPvw16fuvIbPn9tLtXV1UdUh3R9Bxv9MLm3nbc3ljPzk/XE1WU12+vd3usUiIiIiEjXpuAtXmexGPSJDuTnvSXsqWyfhfZjknqT0HcwW9NygRKSY8JJ6Bt12OtyMtLb5fnSdR1urQLD10GP37/EXoI59Xf3UvHzVwe0ae91CkRERESka1Pwlk6hX0xD8N5baQFL+/22zCypAiA+1N5u95TurSVrFWwptfBzMSSecysTb/gDtv1+XpSTkX7E6xSIiIiISPei4C2dQnyoA39fK5W1Thw9R7TLPStq6skvr224f4ijXe4pR49DrVUQ63Sx84ddlFXXk+cXpxXzRUREROSQ2mdcr8gRshgGfaMDAQgYdEq73DM1u6HnMi7EToCffsYk7cdmtTCuVwQAq3YWUVXr9HJFIiIiItKZKXhLpzEgNhgA/4Ensre0/ojuZZqQmtmwddiguOAjrk3k1/rHBhEV6Eet08XKnYXeLkdEREREOjEFb+k0YkPsxNpdGBYr8zccer/twymqNSisrMVmMegbE9hOFYr8wjAMTujT0Ou9fk8xJVV1Xq5IRERERDqrLhW8H3/8cQzD4LbbbnMfq66u5uabbyYiIoLAwEAuvPBCcnJymlyXkZHB5MmT8ff3Jzo6mrvuuov6+qY9ql9//TUjR47Ez8+PPn368Oqrrx7w/GeffZaePXtit9sZM2YMK1eu9MTbPKoNCXVimi5+2FPN2oyiNt9nZ0XDb+0+0YH42aztVZ5IE8kRASSF++MyYVl6vrfLEREREZFOqssE7x9//JH/+7//Y9iwYU2O33777fzvf//jvffe45tvviEzM5Pf/va37vNOp5PJkydTW1vLsmXLeO2113j11Vd56KGH3G127NjB5MmTOfXUU/npp5+47bbbuO666/jiiy/cbd555x3uuOMO/vKXv7BmzRqGDx/OpEmTyM3N9fybP4qE+JpUbFgEwOOfp2GaZqvvYdh82bMveGuYuXhaY6/3lpxy9hZVebkaEREREemMukTwLi8vZ8qUKfzrX/8iLCzMfbykpISXXnqJ2bNnc9pppzFq1CheeeUVli1bxg8//ADAl19+yaZNm3jzzTcZMWIEZ555Jo8++ijPPvsstbUNK17PmzePlJQUZs2axcCBA5k+fToXXXQRTz75pPtZs2fP5vrrr+faa69l0KBBzJs3D39/f15++eWO/TCOAsXfvoWPBVbsKOTrLXmtvt7R93jqTIMgu42EMK1mLp4VHWRncHzDD3i+2JRNncvLBYmIiIhIp9MlgvfNN9/M5MmTmTBhQpPjq1evpq6ursnxAQMGkJSUxPLlywFYvnw5Q4cOJSYmxt1m0qRJlJaWsnHjRnebX9970qRJ7nvU1tayevXqJm0sFgsTJkxwt5H24yzL48w+AQDM/DwNl6t1vd6BQxu+TwPjgjEMo93rE/m1E/tGEmy3UVZdz0+FmtogIiIiIk11+uD99ttvs2bNGmbMmHHAuezsbHx9fQkNDW1yPCYmhuzsbHeb/UN34/nGc4dqU1paSlVVFfn5+TidzmbbNN6jOTU1NZSWljb5kpa5cGAgQXYbadll/Hfd3hZfl1/pxL5vH3ANM5eO4mezMmlwLAaQUWnFf8B4b5ckIiIiIp1Ipw7eu3fv5tZbb2X+/PnY7XZvl9NqM2bMICQkxP2VmJjo7ZK6jCA/Czed0huAR/63ifS88hZd9/XOKgzDQqSfixCHjydLFGkiPtTBsT3DAQifeDMFldrbW0REREQadOrgvXr1anJzcxk5ciQ2mw2bzcY333zDU089hc1mIyYmhtraWoqLi5tcl5OTQ2xsLACxsbEHrHLe+PpwbYKDg3E4HERGRmK1Wptt03iP5tx3332UlJS4v3bv3t2mz+Fo9bsTUhieEEJRZR1XvbSSnNLqQ7avrXexZGclAMkBmmgrHe+4lHDCfF1YHUE8/WNxq6dJiIiIiEj31KmD9+mnn87PP//MTz/95P4aPXo0U6ZMcf+3j48PixYtcl+zefNmMjIyGDt2LABjx47l559/brL6+MKFCwkODmbQoEHuNvvfo7FN4z18fX0ZNWpUkzYul4tFixa52zTHz8+P4ODgJl/ScnYfKy9fcyw9I/zZW1zF1S+vpLS6+b2Sa+qd3PTmarLKnbhqKkjwV/CWjme1GBwbUY+rrpr1ObX8/bPUNq3MLyIiIiLdS6cO3kFBQQwZMqTJV0BAABEREQwZMoSQkBCmTZvGHXfcwZIlS1i9ejXXXnstY8eO5fjjjwdg4sSJDBo0iCuvvJJ169bxxRdf8OCDD3LzzTfj5+cHwO9//3u2b9/O3XffTVpaGs899xzvvvsut99+u7uWO+64g3/961+89tprpKamctNNN1FRUcG1117rlc/maBER6MfrvxtDZKAfadllXP/aKqrrmg7hra5zcuMbq1mUlouvFfI+moGtU//Olu4syAcKFzwDwIvf7eCFpdu9XJGIiIiIeJvN2wUcqSeffBKLxcKFF15ITU0NkyZN4rnnnnOft1qtfPLJJ9x0002MHTuWgIAArr76ah555BF3m5SUFD799FNuv/125s6dS0JCAi+++CKTJk1yt7n00kvJy8vjoYceIjs7mxEjRrBgwYIDFlyT9pGamtrk9b1jg/jzklpW7CjkjFlfMS7Bzsg4O/FBVmZ+X8S6nFp8rTA1qZy/7PzJO0WL7FOx6WvueOCvvL6+jBmfpxER6MdFoxK8XZaIiIiIeEmXC95ff/11k9d2u51nn32WZ5999qDXJCcn89lnnx3yvqeccgpr1649ZJvp06czffr0FtcqrVda2LBv99SpUw84Z08aRtRFf2FnMewsLuetDeW46mqw+Pjhqq0i4/2/8pfdG4CGvd9FvKm/uZvz+vfgv5sruPv9dRRmZTA6vmWLREZGRpKUlOThCkVERESko3S54C3dW1V5w5Zrk298gP7DRh14vh6yqurJrraQW22Ajx82w+SEBBuR9z5C6spv+Py1uVRXH3ohNhFPafrDI4OIs24jcOjpPLYki7z3H6E6Y/1h7+Hw9yctNVXhW0RERKSbUPCWTikiPpmEvoObPdd336/1LhfZJdUE2X3cW4flZKR3UIUizfv1D49cJizPc5GNnbjL/8aYyHri/Q++4FpORjrzZ95Ffn6+greIiIhIN6HgLV2WzWIhIczf22WINGv/Hx7F93GxYEM26XkV/FDgw8SYGAbEapcDERERkaOF1n4WEfEwm8XCWUPiGBAbhGnCFxtzWL+n2NtliYiIiEgHUfAWEekAFovBxEExDEsIAWDJ5jxW7CjQPt8iIiIiRwEFbxGRDmIYBqf0i+LYnmEA/LC9kMVpubhcCt8iIiIi3ZmCt4hIBzIMg3G9IzmlfxQGsCGzlP+tz6TO6fJ2aSIiIiLiIQreIiJeMDwhlMnD4rBaDHYWVPKfNXuorK33dlkiIiIi4gEK3iIiXtI7KpALR/bA7mMhp7SGd1ftobzO21WJiIiISHtT8BYR8aK4EAeXjE4k2G6jpKqOJTk++Mb183ZZIiIiItKOFLxFRLwszN+XS0YnEh3kR63LIObyv/NjZrW3yxIRERGRdqLgLSLSCQT42bhwZAIxdhcWHzszvy9i/opd3i5LRERERNqBgreISCfha7MwLqqe8vVf4jLhgQ838M8vNmuvbxEREZEuTsFbRKQTsRhQ8PlTXDo4EIBnlmzjzvfWUVuv7cZEREREuioFbxGRTujSwUHMvHAoVovBB2v2Mu21Hymr1pLnIiIiIl2RgreISCd16bFJvHjVaBw+Vr7dms8V/1pBQXmNt8sSERERkVZS8BYR6cROHRDNOzceT3iALz/vLeGS/1tOZnGVt8sSERERkVZQ8BYR6eSGJYTy7o1jiQuxk55XwcXzlrM9r9zbZYmIiIhICyl4i4h0AX2iA3n/pnH0igxgb3EVF89bzs97SrxdloiIiIi0gIK3iEgX0SPUwbu/H8vg+GAKKmq5+P+W8fnPWd4uS0REREQOQ8FbRKQLiQz04983HM9J/aKornNx0/w1PL1oq/b6FhEREenEbN4uQEREDpSamnrI838cZiXI9OfTrZXMWriFlZsz+MPoUPxsBpGRkSQlJXVQpSIiIiJyOAreIiKdSGlhHgBTp05tUfvA4ZMI/81NfJtRzeK1P1Kw4BkshTtIS01V+BYRERHpJBS8RUQ6karyUgAm3/gA/YeNatE1udUmK/NNiEgkdspMytd/yY69uQreIiIiIp2EgreISCcUEZ9MQt/BLWqbAAyuc/Jdej4b9pYSOGwif/gki4t2LuXkZAehdmurn6/h6iIiIiLtR8FbRKQb8POxcvqAGByF6XyfUQlRyby2roxX1xRRlf4j5RsWUbV9NTjrWnQ/h7+/hquLiIiItBMFbxGRbsSvKp+sV+9j7M2zqApNoajWhn+/sfj3G4uBSZivSbifSYSvSZTdhV8zneE5GenMn3kX+fn5Ct4iIiIi7UDBW0Sku3HV0zfSwYix/SkoryE1q4y0nFIqapwU1hoU1sI2wADiQx30iQ6kd1QAQXYfb1cuIiIi0i0peIuIdGMRgX6M7+vHCX0iKK2uJ6ukiqySajKLq8gvr2VvcRV7i6v4ZkseyRH+nNY/2tsli4iIiHQ7Ct4iIkcBwzAIcfgQ4vBhQGwwAKVVdaTnlbMtr5zM4mp2FVTy5opdDA620NAfLiIiIiLtQcFbROQoFezw4ZikMI5JCqOospavUnPILK7mpyIbMVfMILOsnpHeLlJERESkG7B4uwAREfG+MH9fLhqZwCn9orAaJvbEIdz9VT7rdhd7uzQRERGRLk/BW0REgIbh6MMTQ/lNXB3Ve1OprDOZ+uIK1mYUebs0ERERkS5NwVtERJoIsEHuO39mUKQvZTX1XPnSSlbvUvgWERERaSsFbxEROYBZV80DJ4YxJiWc8pp6rnppBat2Fnq7LBEREZEuScFbRESa5fCx8Mq1xzK2VwQVtU6ufnkl6/cUe7ssERERkS5HwVtERA7K39fGy9f8Er6veeVH0vPKvV2WiIiISJei4C0iIofk8LXyr6tHMywhhMKKWq58cQWZxVXeLktERESky1DwFhGRwwr0s/HKNcfSKyqAzJJqrnxpBYUVtd4uS0RERKRLUPAWEZEWiQj0441pY4gLsZOeV8E1r6ykpKrO22WJiIiIdHo2bxcgIiKdU2pqarPH7xsbyAOLa1i/p4QLnlrMX06KIMiv6c9xIyMjSUpK6ogyRURERDo9BW8REWmitDAPgKlTpx60jU9UT2IufYzthHL5v34g550/46osdp93+PuTlpqq8C0iIiKCgreIiPxKVXkpAJNvfID+w0YdtF1pHXyba0J0CoNuf4MTo+tw2CAnI535M+8iPz9fwVtEREQEBW8RETmIiPhkEvoOPmSbuJ61fLBmL2U19XxfFMB5I+KJ6aD6RERERLoKLa4mIiJtFubvy0WjEgi22yipquOdH3eTW214uywRERGRTkXBW0REjkiIw4dLRicSF2Knpt7Fd7k2Akec6e2yRERERDoNBW8RETliAX42fntMD/rHBmFiEDHpZl5cU0Kd0+Xt0kRERES8TsFbRETahc1qYdKgGAaH1APw2bZKLn/hB7JLqr1cmYiIiIh3KXiLiEi7MQyDASEucj94DH8fg1W7ijjrqW/5dmuet0sTERER8Rqtai4iIu2uausP/D6lhA9zw9lRXMtVL63k4kGBXDwoEKvl8IuvRUZGdumtyEzTZMWOQuqdJuP7Rnq7HBEREfEyBW8REWlXpYUNvdu3TrsCrD6ET7iBoBFn8u6mct5YtJaCz+ZQl7/rkPdw+PuTlpraJcP38vQCZi/czI87iwC4ZlxPHpg8EB+rBpmJiIgcrRS8RUSkXVWVlwIw+cYH6D9sFAAZFfX8VGiFuL70mPYMA0KcDAh20Vznd05GOvNn3kV+fn6XCt4/7ylhxuepLEsvAMDXaqHW6eLVZTvZnF3Gs1NGEh7g6+UqRURExBsUvEVExCMi4pNJ6DsYgARgeE09i9Ny2Z5fQWqJjVynLyf3jSIx3N+7hbaDrJIqLvm/5VTVOfGxGlx2bBI3n9qHdXuKueOdn1i+vYBzn/mOf101moFxwd4uV0RERDqYxr2JiEiHCPCzcfawOM4cEovDx0pBeS0frN3Lx+syKSiv8XZ5R+TpxduoqnMyLCGEr+86lUfPH0JsiJ1Jg2P58OYTSI7wZ09RFRc9v4zdhZXeLldEREQ6mIK3iIh0GMMw6BcTxJXHJzM8IQSLATvyK5i/IoNFaTnU1Dm9XWKr7cyv4N0fdwPw57MH0SPU0eR8v5gg/nvzCYxIDKWi1sljn27yRpkiIiLiRRpqLiIiHc7ha+WU/tEMTwjl+/R80vMq2LC3lF0FlYwMPvyq553JnK+2UO8yOaV/FMf2DAcgIyOD/Pz8Ju2uGWTjjj3wxcYcXvl8OcNj/A55366+sruIiIj8QsFbRES8JizAl7OHxbOnqJKvUnMpqarjm2obISdcgdNleru8w0rLLuW/6zIB+NPE/kBD6B4wcCBVlQcOKQ87/QaCR5/LA/9ZS9Yrt4Dr4D38XXlldxEREWlKwVtERLwuIcyfy49L5JvNeaRmlxE6/gr+/HUB8wfUEBF46J5hb5r15RZMEyYPjWNIjxAA8vPzqaqsZMo9/yAmqXeT9rUu+CLThMhkzv37f+gT5Gr2vl11ZXcRERFpnoK3iIh0Cn42KxMHxxJYV8SKzBrS8gO47Z2feO3a47A0t++YBzU3VPzXthTUsnBTARYDJvWoZ82aNQCkpqYCEJPU272q+/7GB5SweHMuaWW+HDckGX9f/VUsIiLS3elvexER6VSSAlz898276XnDs3y7NZ8Xvt3O70/uffgL28mhhorvL/rSx3D0HEHpuoWc9/jcA86Xl5c3e93gHsH8vLeEvPIalqcXcPrAmHapW0RERDovBW8REel06vJ3MW1ECM+vLuGfX2xmTEo4xySFdcizDzVUvFFprcHCbB8MTC4642QCzj7ZfS515Td8/tpcqqurm73WYhic3C+K99fsYUNmKcMTQ4nsxMPpRURE5MgpeIuISKc0oZeDjFp/Pv05i1veXsunt5xIsN2nw55/sKHiAMu3FwCF9IwMpP/A+CbncjLSD3vvHmEO+kQFsi2vnB93FnLmkLj2KFlEREQ6KQVvERHplNLS0risd39+3G5ld2EVf3hpKbcfH4phHH6+tye34jJNk605ZQD0iw5s832OSwlnW145W3LKOT6llrAA3/YqUURERDoZi7cLOJQZM2Zw7LHHEhQURHR0NOeffz6bN29u0qa6upqbb76ZiIgIAgMDufDCC8nJyWnSJiMjg8mTJ+Pv7090dDR33XUX9fX1Tdp8/fXXjBw5Ej8/P/r06cOrr756QD3PPvssPXv2xG63M2bMGFauXNnu71lE5GhXWpgHwNSpUzlp7LGsm3cbpsvJd7urOWnq7YwaNeqwXwMGDiQjI8Mj9RVU1FJUWYfVYpASFdDm+0QF+ZES2XD9j7sK26s8ERER6YQ6dY/3N998w80338yxxx5LfX09999/PxMnTmTTpk0EBDT8Y+X222/n008/5b333iMkJITp06fz29/+lu+//x4Ap9PJ5MmTiY2NZdmyZWRlZXHVVVfh4+PD3//+dwB27NjB5MmT+f3vf8/8+fNZtGgR1113HXFxcUyaNAmAd955hzvuuIN58+YxZswY5syZw6RJk9i8eTPR0dHe+YBERLqhqvJSACbf+AD9h40CYFMxpJZC34vu4rTY2zlUp7ent+LamtOwaFpyuD9+NusR3eu4nuHsyK8gLbuMMSkRhDg6bii9iIiIdJxOHbwXLFjQ5PWrr75KdHQ0q1ev5qSTTqKkpISXXnqJt956i9NOOw2AV155hYEDB/LDDz9w/PHH8+WXX7Jp0ya++uorYmJiGDFiBI8++ij33HMPDz/8ML6+vsybN4+UlBRmzZoFwMCBA/nuu+948skn3cF79uzZXH/99Vx77bUAzJs3j08//ZSXX36Ze++9twM/FRGRo0NEfLJ7jnVEnZOt3+2guM6CJaoXPcIcXqnJNE225O4bZh4TdMT3iw2xkxTuT0ZhJat2FmqFcxERkW6qUw81/7WSkhIAwsPDAVi9ejV1dXVMmDDB3WbAgAEkJSWxfPlyAJYvX87QoUOJifnlHzOTJk2itLSUjRs3utvsf4/GNo33qK2tZfXq1U3aWCwWJkyY4G7TnJqaGkpLS5t8iYhI6zl8rAyIbQi6P+0u9lod+eW1FDcOM49s+zDz/R2X0vB32qasUsqq69rlniIiItK5dJng7XK5uO222zjhhBMYMmQIANnZ2fj6+hIaGtqkbUxMDNnZ2e42+4fuxvON5w7VprS0lKqqKvLz83E6nc22abxHc2bMmEFISIj7KzExsfVvXEREABiRGApAel45pVXeCahb9/V294zwx9fWPn+F9gh1kBDqwGXC6l1F7XJPERER6Vy6TPC++eab2bBhA2+//ba3S2mx++67j5KSEvfX7t27vV2SiEiXFRHoR2K4AxNYt6e4w59vmiZb9s3vbo9h5vs7dl+v94bMUipq6g/TWkRERLqaLhG8p0+fzieffMKSJUtISEhwH4+NjaW2tpbi4uIm7XNycoiNjXW3+fUq542vD9cmODgYh8NBZGQkVqu12TaN92iOn58fwcHBTb5ERKTtGnu9N2SWUlvv6tBn55XXUFJVh81i0DOifYaZN0oMcxAXYsfpMvlxp1Y4FxER6W46dfA2TZPp06fz4YcfsnjxYlJSUpqcHzVqFD4+PixatMh9bPPmzWRkZDB27FgAxo4dy88//0xubq67zcKFCwkODmbQoEHuNvvfo7FN4z18fX0ZNWpUkzYul4tFixa524iIiOelRAQQ4vChtt5FanbHrpvRuJp5z8iAdhtm3sgwDI7vFQHAhr2lVKrTW0REpFvp1MH75ptv5s033+Stt94iKCiI7OxssrOzqaqqAiAkJIRp06Zxxx13sGTJElavXs21117L2LFjOf744wGYOHEigwYN4sorr2TdunV88cUXPPjgg9x88834+fkB8Pvf/57t27dz9913k5aWxnPPPce7777L7bff7q7ljjvu4F//+hevvfYaqamp3HTTTVRUVLhXORcREc8zDMPd671udzGmaXbIc03TZGvuvmHm0YEeeUZSuD8JYQ6cpklqyZFtUyYiIiKdS6feTuz5558H4JRTTmly/JVXXuGaa64B4Mknn8RisXDhhRdSU1PDpEmTeO6559xtrVYrn3zyCTfddBNjx44lICCAq6++mkceecTdJiUlhU8//ZTbb7+duXPnkpCQwIsvvujeSgzg0ksvJS8vj4ceeojs7GxGjBjBggULDlhwTUREPGtQXDDL0wsoqqxjV0ElPdtpdfFDyS+v/WWYuQefN653BO+u2sOuCgu2sHiPPUdEREQ6VqcO3i3pybDb7Tz77LM8++yzB22TnJzMZ599dsj7nHLKKaxdu/aQbaZPn8706dMPW5OIiHiOr83CoPhgftpdzKas0g4J3tvzG3q7k8L98bF6brBYXIiDlMgAduRXEDp+iseeIyIiIh2rUw81FxERaU7jnt478is6ZJG1HfkVAKREeT7kj9031ztg0MnsLNa+3iIiIt2BgreIiHQ50UF+hDh8qHeZ7lDsKRU19eSU1gANi7t5WlSQHwn+TgD+vaHM488TERERz1PwFhGRLscwDPrFNCxytiXHs+G0MdjHBPsR4NcxM7QGhTgxXU5+zKxh5Q5tLyYiItLVKXiLiEiX1C+mYbj5roJKauqcHnuOe5h5B8wlbxTkA+XrFwJwz3/WU1XrufcnIiIinqfgLSIiXVJEgC/hAb44TZN0Dw03r3e6yCisBKBXpGe2ETuYoq9fIdxhYUd+Bf/8cnOHPltERETal4K3iIh0SYZhuPfU9tRw891FVdS7TAL9bEQG+nrkGQdj1lTwh9EhALz8/Q5+3Kkh5yIiIl2VgreIiHRZjcPNdxdWUuWB4eb7DzM3DKPd7384I+PsXDwqAdOEu95bpyHnIiIiXZSCt4iIdFlhAb5EBfrhMiE9t7xd722a3pnf/WsPnj2I2GA7Owsq+ccXGnIuIiLSFSl4i4hIl9bXQ6ubl9QZlNfUY7MYJIY52vXerRHi8GHGhUMBeGXZDhZsyPZaLSIiItI2HbMvioiIiIf0iwliWXoBe4qqqKipb7f7ZlU1DC1PCvfHZvXuz6lP7R/N5ccl8u+Vu/nD/NXMvHAYF49OPOQ1GRkZ5Ofnt/mZkZGRJCUltfl6ERER+YWCt4iIdGkhDh9igv3IKa1hW245Ee1036yqhrCdEuW9Yeb7e/S8IdQ5Td5fvYe73l9PcWUd15/Uq9m2GRkZDBg4kKrKygPOWeyB+MYPwN5jAL4xfcDqs99Zk/qiLGqzt2IU7+anrz+nV0qyh96RiIjI0UPBW0REurx+MUHklNawOaeMcSFHfj9rQBhFtfuCd0TnCN42q4V/XDSMMH8f/vXtDv72WSqFlbXc+Zt+B/TI5+fnU1VZyZR7/kF0Ym+Kag32VlrIqrJQVn+YReJ6jgDOBOCMFzdwQp8czj+mBxMHxeLwtXrmzYmIiHRzCt4iItLl9Y8J4rut+WSVVFPuf+T38x9wIgCxwXYC/DrPX5WGYXD/WQMJD/Bj5oI0nv86nbdXZjBhYAxnDo1lXO9ISqvrSM2rJWDoBLIC+/FTrh/lvxqCH+rvQ1yIndhgO362X8K0yzQpqKglI7uAnNIqav0CWLI5jyWb8wjwtTJpSCxXHJfE6J7hHf3WRUREurTO868JERGRNgrws5EU7s+uwkoyKo68VzZg0CkA9I8NOuJ7tTfDMLjplN5EBPoy47NUiirreG/1Ht5bvQfDaFiNHSDyrNtILweox8dqkBIRQO/oQBLD/A/bc73HzGH2I5cx68X5ZPnEs3RXFTkVTj5Ys5cP1uxlUJQvFw0MZHiM70G3WdMccRERkV8oeIuISLcwIC6oIXhXHtlCaJll9fjF98PApN++FdO9JTU19aDn+ljghbMi2JRfyw97qlmxt5rCKhcGEOrjJHPLOgYPHc7gXgmtXiCutDAPMLnzuivcx/x6DCBg6G8IHHIam/LgkbxCajK3ULLsbarSVx5wD4e/P2mpqQrfIiIiKHiLiEg30TsqEB9rLhX1DSGxrZbuqgIg2m7i7+udvyYbgi9MnTq1FVcZWIMicVYWgbNhaPn5o16nV1TrP4uq8lIAJt/4AP2HjWpyrrLeZGuZkx3lFvzi+xF90UOE+7oYEuokyt7Q3Z6Tkc78mXeRn5+v4C0iIoKCt4iIdBM+Vgu9owJJyy4jYNCpbbqHaZp8m9EQvJMCXO1ZXqscKvi2ROrKb/j8tblUV1cfUR0R8ckk9B18wPF+QGVtPWsyilm3u5jCWgtLcy0khfsztncEMUf0VBERke5HwVtERLqNAbFBpGWX4T/wROqcZquvX7enhKxyJ67aauId3t27Gw4efA8nJyPdA9U05e9rY3yfSI5JDGXljkI2ZJaQUVhJRmElUX42HL1G4zJb/z0QERHpjrz/rwoREZF2khjuj91qYnUEsya7ptXX//envQBUbfsBm/6GbJEAPxunDojmqrE9GRgXhMWAvBoL0Rc/zO1f5PPGD7vIL2/990JERKQ70T8rRESk27AYBon+DUPEv9lZ1apr650u/rcuC4CKjV+3d2ndXojDh4mDYrlmXE/6Bjlx1VSyu7SeP3+0geP+9hWXv/ADbyzfSU7pkQ1/FxER6Yo01FxERLqV5AAXW8usrMqqpqSyjhB/nxZdtyy9gPzyGoJ8DXbtXOvhKruvILsPw8KcLHrkGn7/xGtsrg4mvaiO5dsLWL69gD//dyOJwTaGx/gxPNaXQZG+OHwO7AfQdmQiItKdKHiLiEi3EuJrUpu7A6JT+OTnTKaMSW7RdR/tG2Y+LtHBBpfTkyV2e6WFeZi1lTx/28UA2EJi8O8/Dv/+4/GN68vu0np2l9bzydYKzPo6qjPWUbltJVXbVuIsywe0HZmIiHQvCt4iItLtlG9YTPhp0/i/b7Zz4cgE7D7WQ7avqnXyxYZsAE5KdvBCRxTZjR1qVfYaZz151RZyqg1yqy1U4oOj12gcvUbDxD8Q6uMitC6P757VdmQiItJ9KHiLiEi3U/7T5/SZfD0ZhZW89N0Obj61zyHbv/jtdipqnSSGOxgQ0bKh6XJ4B1uVvfe+X03TpLCilh35FWzPryC7pJriOgvFxNDjD6/y8DcFXGXuYdLgGILs+r6IiEjXpcXVRESk2zHrqrlqWDAAzyzeRlbJwRda25ZbxtOLtwFw52/6YxhGh9QoYBgGEYF+jO4ZziWjE7nuxBRO7R9FhJ8Lw7CwPqeWP723jmP/9hV//PdaFqXmUOf03v7qIiIibaXgLSIi3dKJSXZGJ4dRVedkxmdpzbZxuUzu+c/P1DpdnNo/ivNGxHdwlbI/f18bwxJCOSWmnr3zpnH5kEB6RQVQXefif+symfbaKsb8fREP/XcDazKKMLVPuIiIdBEaai4iIt2SYRg8fO5gznnmOz5el8nU45M5LiW8SZs3ftjF6l1FBPhaeeyCoert7kTqS3IYYuzholMGkF5k55tdVXy/u5rCilpeX76L15fvIjbQyklJDk5KdhAf1PSfNFoVXUREOhMFbxER6baG9Ajh8uOSeGtFBn/5eCOf/HE8VktDuN5bXMUTCxp6wu89cwA9Qh3eLFX2U1qYB8DUqVObnjAs2HuOIGDQKfj3G0d2uZ13N5Xz7qZyajLTqNj4NRWpS3FVlWpVdBER6VQUvEVEpFv708T+fLIuk9SsUq599Uf6xwQSG+Lgq005VNQ6ObZnWIu3HJOOcahV0RvVuyCzqp6MioYV0v3iB+AXP4Dw39xIEFXs/vYDlm/OpEdCovuHLSIiIt6i4C0iIt1aeIAvd58xgAc/2sDSLXks3ZLnPudrtTDjt8OwKJh1SgdbFb1RT2AcUFFTz5acMtKyy8gtq6EMf0JPnMo9iwqYsXwho5LCGJEYyjFJYQxLDCFYK6SLiEgHU/AWEZFub+rxyfSJDmRjZilZxVVklVSTV1bDJccm0ic60NvlyREK8LNxTFIYxySFUVpVx09p2/hu+QrCB46juLKORWm5LErLdbcPs1uICbQSG2AjOsBKoK8Fh83A4WNgtxlYLQbOujr8fH0wDAPDaFiN1mKAYUCo3UqY3XLYnnTNMxcRkUYK3iIiclQ4vlcEx/eK8HYZ4mHBDh8ia3PI/2gG+R9b8Y3pvW8Yej984wfgExpLUbWLomoXafl1bX6O6ayjvjSP+pJcarO2UJW+kprMLWD+st2Z5pmLiEgjBW8RERHpVtxzxK+/94A54rWuWirqDMrrDSrqoaLeoN6EOlfDr/UuqK6soKykkKCwKHz8HDRuWmaaYALVTsDqg09YPD5h8Th6jiBk7CX4Wkxi7C4SA1wYedt4a+Zd5OfnK3iLiIiCt4iIiHRPh5sjfjCrF33M/Jfu4jd/fYERY4cfcN5lmlTU1FNaVU9xVS0ZhZXsKqikpt7F7koruyuthPj0x3/gSThd2mtcREQUvEVERERaxWIYBNl9CLL70CPMweD4EFwuk6ySarbllbMxs4SSOgtR597N9M/zuJPdXDQyQYv4iYgcxSzeLkBERESkq7NYDHqEOTi5XxS/OyGFQSH1OCtLyKlwcvf76/nt88v4eU+Jt8sUEREvUfAWERERaUd2HysDQ1zsnfc7rhoWRKCfjZ92F3Pus9/xwIc/U1xZ6+0SRUSkgyl4i4iIiHiAWVfD+QMCWXznyZw/Ih7ThPkrMjj1n1/z9soMXJr/LSJy1FDwFhEREfGg6GA7cy47hrdvOJ7+MUEUVdZx7wc/c4GGn4uIHDW0uJqIiIiIh6Smprr/2xd49MQAPt9m8PaGMtbtLubcZ77j1J4Ozu4XQM9QnybXRkZGHnYrMtM0KayoZWdBJRmFFezMr6SospYwf18iA32JCPQjNsTOsB4h2KzqbxER8RYFbxEREZF2VlqYB8DUqVObPW8NCCP01N8ROPhUFu+sYvHOKqp3b6BszadUblkOrnoc/v6kpaY2Cd/1Thebc8pYtbOIH3cW8uPOQnJKaw5bT6CvwbHxdo5PsDM8xg9f6+FXWG9J8BcRkZZR8BYRERFpZ1XlpQBMvvEB+g8bddB2BTV1bC2zkFlpwZ44BHviECyY+FJL0Y6N3PHvVUSEp5NTXk92hZPcCie/nhpuABH+FmIDbcQGWAmxW8gpquCr734AvyB8IhIoJ4QlO6tYsrMKV00lFZu+pmzNJ9TlZxy0tuaCv4iItI2Ct4iIiIiHRMQnk9B38EHPJwDDgfKaejbsLeHnvSVU1jqpxg9HykhWFQFFlU2ucdVUUrM3lZo9m6jes4narC3srG++1/uCWx4huZ+Dgpo69lZayKyyUOXnT9AxZxF0zFlE+bnoHeQkzmGy/zbjORnpzJ95F/n5+QreIiLtQMFbRES6pf3n1nbEdSJHItDPxvG9IjguJZyy6npWLfuGrz/9gIGnX0R4dDyBNpMAm0mgzcRutWH0HQoMPej9Uld+w+evzSUoIpakfoNJAo6hYU74nqIq1u0pZnteBXk1FvJqLPjZLPSKCqBvdBBJ4f4d9bZFRI4aCt4iItKtHG5ubUuVl5e3RzkirWIxDEIcPoRSScWGRQy6+FJGHDug1ffJyUhv9rhhGCSG+5MY7k9pdR0/7ylhU1YplbVOUrPKSM0qw9dqwd9iI+q3DzLzq52kbCyj1mlSUWdSUeuifN+vFXUuymtNKutc+FgM/H0M/H0sBPgaxAbYGJIQygmDkhkUH0yIw6fZekREjhYK3iIi0q20dG7twTT2FFZXV7d3aSKdSrDdhxP6RDK2dwSZxVVsyy1nW245FbVOap0W/Psez4pCWFF4+B9C1btMqupNCqpcAKTl1/H1riqe+T4LgL7RgZzUL4qT+kUxJiUcu4/Vo+9NRKSzUfAWEZFu6XBzaw/mYD2FIt2VxTBICPMnIcyfk/tFkV9ey9qV3/PdFx8z4OTzCIiIw2qArwV8LKb7Vx/LL8ecJtS7DOpMqHVBVn4xaVu2kTxiPHmVTrbmlrM1t5yXvtuBr83CmJRwTuobxYn9IukfE4RhHH6VdRGRrkzBW0RERESAhqHoUUF+RFBO+U+fM+iCCxhxfOuHuu/ZupFvZ/6NJy98kx69+vNzbg0/ZTd8FVS5+HZrPt9uzYfPIMxuYUSsH8fE+jE8xo8gv4b9xrWdmYh0JwreIiIiItKuDrXWgi0iAUfKSBwpI/FLHEIRdvdWZ6bpojZrK9U71+LK3crKT9+mf++eHVy9iEj7U/AWERERkXbV0rUWnCbk19SRU2Uhp9qgtM6CX3x//OL7A3DWixsZmrCX41LCGZ4QyvDEEHqEOjQ0XUS6HAVvEREREfGIlqy1kLzff5dV15FRWMmWXVlszyqAkGh+2l3MT7uL3W0iA333hfBQRiSGMiwhhFB/X8+8ARGRdqLgLSIiIiKdQpDdh8HxIYRU7OHbv/yOp19+i5qQRLYU1LG1sJZdxfXkl9eyKC2XRWm57uviAq30Dfehb7gvfSJ8SAn1IT4mSnPERaTTUPAWERERkU6lcY74H393RZPjhs0Xn+he+MX1wy+uH75x/fAJjyer3ElWuZOlGQ3bAJrOeurzv+fi047lhIEJHJMUSq/IQCwWDVEXEe9Q8BYRERGRTqWlc8QBapy1FNUaFNUaFNZYKKo1qMGGT0xvPtpYyEcbCwEIcfgwMimU0T3DGZUcxvCEUBy+2k9cRDqGgreIiIiIdEotmSP+a6ZpsiVtE288N4sLrrudQiOYbYW1lFTVsWRzHks2N/SmWw1ICfNhQIQvAyJ96B3mQ3SAtcnCbdrSTETai4K3iIiIiHQbhmHgLM2jcvP3zL/r+4aDFiu+0b3wSxiIX4+B+PUYBEERbCusY1thHZ9sbWjmrCqlNnsbtdnp1ObtxFqRy5qvP6NPSk+vvJeMjAzy8/PbfL1+cCDSeSh4i4iIiEi3crih6qYJlc5aCmosFNQYFNYYlNQZWB3B7j3GG018YSM9I3fSKzKA5IgAekb4kxQRQHyIneggO8EOm0e2N8vIyGDAwIFU17mwBUdhDYnGFhSFLSQaa3AUVv8QDF8HFl8HFl9/sFgw62sxnXWY9XWYtVVQVcJVl5xP3x5RxIbYSYkMoGdkAIF+igAiHU1/6kRERESkW2rNUPV6l4uC8lpyy2rIK6shM7+I3JJKsAeyPa+C7XkVzV7na4UwuxV/HwM/m4HdZsFuNbDbDEIDHcRENMwl97VZ8LFYsFkNbFYL0DAs3ulq+KqocVJcVUtJZR1FlbXszCki4rqXsDqCjugzeHddPqxr2msearcQH2gjLshKXKCN+H2/xgba8LNpqL2IJyh4i4iIiMhRz2axEBNsJybYDsCmFZt4ce6NWAPD8YlMwhYahy0sDp99v1oDw7E6gql1Qk6F8yB3rQIK21xTY+j2s1kIstsIsvsQvO9X/8Ywb7Xga7NgAZymSb3TxGmapKduYOnnH2ANDMcWEI41JBqfsHisAaEUV7sorq5lUzOj2OtL86grzKS+OBOjupRH7r2DgT3j9302foT5+2p1eJE2UPAWEREREfmVxuHqZ0y56aArqzvNWqqdUO00qHOB04R6l0G9CblZe9i0ehmGjx2LjwPDagOrDcNixbA0/BPcNF2w78tVW4WrqhxXdRmu6jLqy4twluZx5Z8eZcjIMa2uv6Amh7IfPzpguH2tq5byOoPyeoPyen757zqDOtPAFhyFLTgKGA7AE1/vBfa6r7dZINRuJcJhIT7IRnyQjR5BNhKCG3rNrRb1mIs0R8FbREREROQg2rKyOsDqRVtZ/t1bLdoSrTmpK7/h89fmUl9T3epr99fS+k3TpKrOSXFlHcVVdaRv3cq6VcsbeswDwxt6+APCqHdBfqWT/EonmwvqmtzDVVtFbfY2arK2UJu1BaN4NxtXLCU5OfmI3oNId6DgLSIiIiLiIW0N7jkZ6R6o5uAMw8Df14a/r434UAdVm/ayZMHT+35wkAiAa78e/kpnQ295WZ1BWb1BaZ0Bvg7sSUOxJw113/fclzcxOiWX4YmhDPv/9u49KIoz3R/4t2dghjsDAoMoeFkMKt6iRBZddysrZ4kxiWZzSqMmR41r1kRPTHmLuomyqc2q0fjTWEa3SpT8djdisicajxcSg4CXNSRB8RIV0WjEyEVFGK4zw/Rz/iB0HCEqmmFQvp+qKZj3ffrtt8enKJ/unrc7B6J/ZxOCfA2temxEbQEL7xZau3Ytli9fjuLiYvTv3x9r1qzB4MGD3T0tIiIiIqKf3Z2eOFBFUFZtQ4mlDiUWKwpLr+N6nYoKqwcyTpci43SpFtulgw/6dTYhOtQPUR28ERnkg8hgH3TwNWgLz93P6h0qymvtuF5tw6nzl3Cp9DoqrSqq7CpEgMa78fUK4GvQIdBLhwCjDoFGHYK89PDUt53b9W98pF1dvYryOhUVdWrDv22dA5U2FVaHwOYAbA6B3SGQH7YVAVTVAaOnBwx6wFOnwKBX4GfQwd+owN+gg79RhxBvPUxeup98OoC7P4OfCwvvFtiyZQtmzZqF9evXIz4+HqtWrUJSUhLy8/MRFhbm7ukREREREbmFTlEQ4mdEiJ8RsRHAJf0V/L+Zz+Kt995HvX8nFJTZUFBmR1GVA99dq8F312qaHcfHs6Eg8zPo4KkTeOh18FAAnU6BXgH0jT+Vhn0CQGO91li23Vi/eXt5wd/fT+tVlIbfftxG0doa+m8e8+b+hhgFQL0quF5jQ3mNHWXVNpTX2FBWbYOlrv6uP0cRFY6q63BUXkG95QqUmnK89t8vIrZbBDqZvBHqb0SQryeMHvq73seN6uwOXKm04kqVFVe1nzZcrbLiu9Lr+PzAl1C8A6D3MUFn9LnLvdhuG6HarXBYSlFfUQp72fewXyuE/dol2K8VwggbTp86dd8X3yy8W2DlypWYOnUqJk+eDABYv349du7ciY0bN2L+/Plunh0RERERUdtgKbsCqbdh4YvjnNp1Rl8YOvaAIbwHPIM6wiPQDA9TOPT+IVB0etTYBTV2xy1Wim+pWgDXf6axWsZbr8JypQjBwUHw9fKCQSdQFDRcERZABWBTFdgcgFVVYHUAqqKDh38HePh3gDGiJwBgzcEi4GCR09h+Rg8E+XrC39iwwr23QQ9vz4aV7nWKAt0PJyYsVVWoqrHCrgrsqsBaL6i2C2rsKqptAqtDmsz7RoYf5tBIrwiMOsBLLzDqAaNOtBMhDSdDRDtpUVr4LfJzDyImfjiCzJ2gClAvgF11Pu5aB6DzNELXIRKeHSLh3d15TYTab7/G1atXWXi3FzabDbm5uViwYIHWptPpkJiYiEOHDrlxZkREREREbUvjqvB3uricKg7YVQdsPxRl506fwOHsdDz8H8+gY1R3qNJQsN74EwCalI3yY1tZyfc4+WU2lMbr1cpNP9F4KfvHdgXO73+MaYy/4XK6CNTaSqh1FjhqLFBrK+GotUCttUCtq2pYsR7AE8v+P3o+3P+2n0HjAneVdfWorKtHYWEhDnz2vxiSOBJWD19crXGgwqpCFaDKWo8qaz0aTizcG9VuhVpTDkf1dTiqb/xZDrX6Okb+1wz07NMXvgYPeOqVn7wl/Ga55QX4Kud/0OvxJAx4pOdPxjlUQZW1HpZaOyrqGm7RL6u24XqNHRW1NtRXXrvnY2wLWHjfoatXr8LhcMBsNju1m81mnD59utltrFYrrFar9r6iogIAYLFYXDfRe1BVVQUAuFTwDay1zd/+cyuNi4AUXziDc753dyvKvY7B7d27fVuYA7fnv+H9vn1bmAO3579he9++LczhQdnebrO26P+Vhh9eXpXfoyb/IHyHJMCsu7uvdNpKj8Ny6EM8MmIsOnfr0eLtL545jtzPP7nn7S+cPgbPFn53XQGgnj2C65kp2JmZ4txn8IHOJwB67wAoBm8oHgboPL2geBqh6PSAoms4iaDTQVQHuvUeiMCgYOgg0IkKPVTo4YBeHPBAPfRQoegA+P/wQhCAoIb5H/k3Ks4NQZmX2uIn0t9NDnn/8IrQAfADissv4OPMTaiq+s82WUM1zknk1ncOAIAidxJFuHz5Mjp16oR///vfSEhI0NrnzZuH7Oxs5OTkNNkmOTkZf/7zn1tzmkRERERERNSKCgsL0blz51vG8Ir3HQoJCYFer0dJSYlTe0lJCcLDw5vdZsGCBZg1a5b2XlVVlJWVoUOHDnd8i4arWSwWREZGorCwEAEBAe6eDrVTzENqC5iH1BYwD6mtYC5SW9DW81BEUFlZiYiIiNvGsvC+QwaDAYMGDUJGRgZGjx4NoKGQzsjIwIwZM5rdxmg0wmg0OrWZTCYXz/TuBAQEtMlkpvaFeUhtAfOQ2gLmIbUVzEVqC9pyHgYGBt5RHAvvFpg1axYmTpyIuLg4DB48GKtWrUJ1dbW2yjkRERERERHRzVh4t8DYsWNx5coVLFq0CMXFxRgwYADS09ObLLhGRERERERE1IiFdwvNmDHjJ28tvx8ZjUYsXry4yS3xRK2JeUhtAfOQ2gLmIbUVzEVqCx6kPOSq5kREREREREQu1LIHyhERERERERFRi7DwJiIiIiIiInIhFt5ERERERERELsTCu51bu3YtunbtCi8vL8THx+PLL79095ToPrVv3z48+eSTiIiIgKIo2LZtm1O/iGDRokXo2LEjvL29kZiYiIKCAqeYsrIyTJgwAQEBATCZTJgyZQqqqqqcYo4dO4Zhw4bBy8sLkZGRePvtt119aHQfWbJkCR555BH4+/sjLCwMo0ePRn5+vlNMXV0dpk+fjg4dOsDPzw/PPPMMSkpKnGIuXryIkSNHwsfHB2FhYZg7dy7q6+udYrKysjBw4EAYjUZER0cjNTXV1YdH94l169ahX79+2nNnExISsHv3bq2fOUjusHTpUiiKgldffVVrYy6SqyUnJ0NRFKdXz549tf52lYNC7VZaWpoYDAbZuHGjfPPNNzJ16lQxmUxSUlLi7qnRfWjXrl3ypz/9ST7++GMBIFu3bnXqX7p0qQQGBsq2bdvk6NGj8tRTT0m3bt2ktrZWi3nsscekf//+8sUXX8j+/fslOjpaxo0bp/VXVFSI2WyWCRMmyIkTJ2Tz5s3i7e0tf/vb31rrMKmNS0pKkk2bNsmJEyckLy9PHn/8cYmKipKqqiotZtq0aRIZGSkZGRny9ddfyy9/+UsZMmSI1l9fXy99+vSRxMREOXLkiOzatUtCQkJkwYIFWsy3334rPj4+MmvWLDl58qSsWbNG9Hq9pKent+rxUtu0fft22blzp5w5c0by8/Nl4cKF4unpKSdOnBAR5iC1vi+//FK6du0q/fr1k5kzZ2rtzEVytcWLF0tsbKwUFRVprytXrmj97SkHWXi3Y4MHD5bp06dr7x0Oh0RERMiSJUvcOCt6ENxceKuqKuHh4bJ8+XKtrby8XIxGo2zevFlERE6ePCkA5KuvvtJidu/eLYqiyPfffy8iIu+9954EBQWJ1WrVYl577TWJiYlx8RHR/aq0tFQASHZ2tog05J2np6d89NFHWsypU6cEgBw6dEhEGk4i6XQ6KS4u1mLWrVsnAQEBWu7NmzdPYmNjnfY1duxYSUpKcvUh0X0qKChINmzYwBykVldZWSk9evSQPXv2yG9+8xut8GYuUmtYvHix9O/fv9m+9paDvNW8nbLZbMjNzUViYqLWptPpkJiYiEOHDrlxZvQgOn/+PIqLi53yLTAwEPHx8Vq+HTp0CCaTCXFxcVpMYmIidDodcnJytJhf//rXMBgMWkxSUhLy8/Nx/fr1Vjoaup9UVFQAAIKDgwEAubm5sNvtTrnYs2dPREVFOeVi3759YTabtZikpCRYLBZ88803WsyNYzTG8O8n3czhcCAtLQ3V1dVISEhgDlKrmz59OkaOHNkkX5iL1FoKCgoQERGB7t27Y8KECbh48SKA9peDLLzbqatXr8LhcDglMQCYzWYUFxe7aVb0oGrMqVvlW3FxMcLCwpz6PTw8EBwc7BTT3Bg37oOokaqqePXVVzF06FD06dMHQEOeGAwGmEwmp9ibc/F2efZTMRaLBbW1ta44HLrPHD9+HH5+fjAajZg2bRq2bt2K3r17MwepVaWlpeHw4cNYsmRJkz7mIrWG+Ph4pKamIj09HevWrcP58+cxbNgwVFZWtrsc9HD3BIiIiFxh+vTpOHHiBA4cOODuqVA7FBMTg7y8PFRUVOBf//oXJk6ciOzsbHdPi9qRwsJCzJw5E3v27IGXl5e7p0Pt1IgRI7Tf+/Xrh/j4eHTp0gUffvghvL293Tiz1scr3u1USEgI9Hp9k1UDS0pKEB4e7qZZ0YOqMadulW/h4eEoLS116q+vr0dZWZlTTHNj3LgPIgCYMWMGduzYgczMTHTu3FlrDw8Ph81mQ3l5uVP8zbl4uzz7qZiAgIB29x8Jap7BYEB0dDQGDRqEJUuWoH///li9ejVzkFpNbm4uSktLMXDgQHh4eMDDwwPZ2dl499134eHhAbPZzFykVmcymfDQQw/h7Nmz7e7vIQvvdspgMGDQoEHIyMjQ2lRVRUZGBhISEtw4M3oQdevWDeHh4U75ZrFYkJOTo+VbQkICysvLkZubq8Xs3bsXqqoiPj5ei9m3bx/sdrsWs2fPHsTExCAoKKiVjobaMhHBjBkzsHXrVuzduxfdunVz6h80aBA8PT2dcjE/Px8XL150ysXjx487nQjas2cPAgIC0Lt3by3mxjEaY/j3k36KqqqwWq3MQWo1w4cPx/Hjx5GXl6e94uLiMGHCBO135iK1tqqqKpw7dw4dO3Zsf38P3b26G7lPWlqaGI1GSU1NlZMnT8qLL74oJpPJadVAojtVWVkpR44ckSNHjggAWblypRw5ckS+++47EWl4nJjJZJJPPvlEjh07JqNGjWr2cWIPP/yw5OTkyIEDB6RHjx5OjxMrLy8Xs9kszz//vJw4cULS0tLEx8eHjxMjzUsvvSSBgYGSlZXl9OiSmpoaLWbatGkSFRUle/fula+//loSEhIkISFB6298dMnvfvc7ycvLk/T0dAkNDW320SVz586VU6dOydq1a9vko0vIPebPny/Z2dly/vx5OXbsmMyfP18URZHPPvtMRJiD5D43rmouwlwk15s9e7ZkZWXJ+fPn5eDBg5KYmCghISFSWloqIu0rB1l4t3Nr1qyRqKgoMRgMMnjwYPniiy/cPSW6T2VmZgqAJq+JEyeKSMMjxd544w0xm81iNBpl+PDhkp+f7zTGtWvXZNy4ceLn5ycBAQEyefJkqaysdIo5evSo/OpXvxKj0SidOnWSpUuXttYh0n2guRwEIJs2bdJiamtr5eWXX5agoCDx8fGRp59+WoqKipzGuXDhgowYMUK8vb0lJCREZs+eLXa73SkmMzNTBgwYIAaDQbp37+60D2rfXnjhBenSpYsYDAYJDQ2V4cOHa0W3CHOQ3Ofmwpu5SK42duxY6dixoxgMBunUqZOMHTtWzp49q/W3pxxURETcc62diIiIiIiI6MHH73gTERERERERuRALbyIiIiIiIiIXYuFNRERERERE5EIsvImIiIiIiIhciIU3ERERERERkQux8CYiIiIiIiJyIRbeRERERERERC7EwpuIiIiIiIjIhVh4ExERtUMXLlyAoijIy8tz91SIiIgeeCy8iYiIWsmkSZOgKAoURYHBYEB0dDTefPNN1NfXt/pcIiMjUVRUhD59+rT6vhtdunQJBoPBrXO4W5MmTcLo0aPdPQ0iIrpPsPAmIiJqRY899hiKiopQUFCA2bNnIzk5GcuXL2821mazuWweer0e4eHh8PDwcNk+bic1NRVjxoyBxWJBTk6O2+ZBRETkaiy8iYiIWpHRaER4eDi6dOmCl156CYmJidi+fTuAH6+ivvXWW4iIiEBMTAwAoLCwEGPGjIHJZEJwcDBGjRqFCxcuaGM2bvfXv/4VZrMZJpNJu5I+d+5cBAcHo3Pnzti0aZO2zc23mqempsJkMjnNddu2bVAURXufnJyMAQMGYOPGjYiKioKfnx9efvllOBwOvP322wgPD0dYWBjeeuut234OIoJNmzbh+eefx/jx45GSkuLU3zi/Dz/8EMOGDYO3tzceeeQRnDlzBl999RXi4uLg5+eHESNG4MqVK9p2qqrizTffROfOnWE0GjFgwACkp6dr/VlZWVAUBeXl5VpbXl4eFEXRPtPGz+LTTz9Fr1694Ofnp50wafwc3n//fXzyySfaHQxZWVm3PWYiImq/WHgTERG5kbe3t9OV7YyMDOTn52PPnj3YsWMH7HY7kpKS4O/vj/379+PgwYNaIXjjdnv37sXly5exb98+rFy5EosXL8YTTzyBoKAg5OTkYNq0afjjH/+IS5cu3dN8z507h927dyM9PR2bN29GSkoKRo4ciUuXLiE7OxvLli3D66+/ftsr2JmZmaipqUFiYiKee+45pKWlobq6uknc4sWL8frrr+Pw4cPw8PDA+PHjMW/ePKxevRr79+/H2bNnsWjRIi1+9erVeOedd7BixQocO3YMSUlJeOqpp1BQUNCi46ypqcGKFSvw97//Hfv27cPFixcxZ84cAMCcOXMwZswYrRgvKirCkCFDWjQ+ERG1Lyy8iYiI3EBE8Pnnn+PTTz/Fb3/7W63d19cXGzZsQGxsLGJjY7FlyxaoqooNGzagb9++6NWrFzZt2oSLFy86XWUNDg7Gu+++i5iYGLzwwguIiYlBTU0NFi5ciB49emDBggUwGAw4cODAPc1bVVVs3LgRvXv3xpNPPolHH30U+fn5WLVqFWJiYjB58mTExMQgMzPzluOkpKTg2WefhV6vR58+fdC9e3d89NFHTeLmzJmDpKQk9OrVCzNnzkRubi7eeOMNDB06FA8//DCmTJnitK8VK1bgtddew7PPPouYmBgsW7YMAwYMwKpVq1p0nHa7HevXr0dcXBwGDhyIGTNmICMjAwDg5+cHb29v7e6F8PBwGAyGFo1PRETti/u+2EVERNQO7dixA35+frDb7VBVFePHj0dycrLW37dvX6ci7ujRozh79iz8/f2dxqmrq8O5c+e097GxsdDpfjyfbjabnRYt0+v16NChA0pLS+9p/l27dnWai9lshl6vb7LvW+2nvLwcH3/8sdNJgOeeew4pKSmYNGmSU2y/fv2cxgUaPqPm9mWxWHD58mUMHTrUaYyhQ4fi6NGjLThKwMfHB7/4xS+09x07drznz46IiNovFt5ERESt6NFHH8W6detgMBgQERHRZHEzX19fp/dVVVUYNGgQ/vnPfzYZKzQ0VPvd09PTqU9RlGbbVFVtdl46nQ4i4tRmt9ubxN3rfgDggw8+QF1dHeLj47U2EYGqqjhz5gweeuihZvfX+H3zm9tuta+bNZ4guPFY7/Q4b/58iIiI7hRvNSciImpFvr6+iI6ORlRU1B2tKD5w4EAUFBQgLCwM0dHRTq/AwMCfbV6hoaGorKx0+p61q57xnZKSgtmzZyMvL097HT16FMOGDcPGjRvvetyAgABERETg4MGDTu0HDx5E7969Afx4sqJxoTTg7o7TYDDA4XDc9VyJiKh9YeFNRETUhk2YMAEhISEYNWoU9u/fj/PnzyMrKwuvvPLKPS+UdqP4+Hj4+Phg4cKFOHfuHD744AOkpqb+bOM3ysvLw+HDh/GHP/wBffr0cXqNGzcO77///j0913zu3LlYtmwZtmzZgvz8fMyfPx95eXmYOXMmACA6OhqRkZFITk5GQUEBdu7ciXfeeafF++natSuOHTuG/Px8XL16tdmr5kRERI1YeBMREbVhPj4+2LdvH6KiovD73/8evXr1wpQpU1BXV4eAgICfbT/BwcH4xz/+gV27dqFv377YvHmz03fPfy4pKSno3bs3evbs2aTv6aefRmlpKXbt2nXX47/yyiuYNWsWZs+ejb59+yI9PR3bt29Hjx49ADTcQr5582acPn0a/fr1w7Jly/CXv/ylxfuZOnUqYmJiEBcXh9DQ0CZX2YmIiG6kCL+wREREREREROQyvOJNRERERERE5EIsvImIiIiIiIhciIU3ERERERERkQux8CYiIiIiIiJyIRbeRERERERERC7EwpuIiIiIiIjIhVh4ExEREREREbkQC28iIiIiIiIiF2LhTURERERERORCLLyJiIiIiIiIXIiFNxEREREREZELsfAmIiIiIiIicqH/A0znDmjXjj6bAAAAAElFTkSuQmCC"},"metadata":{}}],"execution_count":43},{"cell_type":"code","source":"plt.figure(figsize=(8, 6))\nsns.lineplot(x='Policy Type', y='Premium Amount', data=train)\nplt.title('Policy Type vs Premium Amount')\nplt.xlabel('Policy Type')\nplt.ylabel('Premium Amount')\nplt.show()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:21.378607Z","iopub.execute_input":"2024-12-26T03:11:21.378956Z","iopub.status.idle":"2024-12-26T03:11:30.757049Z","shell.execute_reply.started":"2024-12-26T03:11:21.378917Z","shell.execute_reply":"2024-12-26T03:11:30.756183Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 800x600 with 1 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"},"metadata":{}}],"execution_count":44},{"cell_type":"code","source":"# Assuming your DataFrame is 'df'\navg_premium_by_gender = train.groupby('Gender')['Premium Amount'].mean().reset_index()\nsns.barplot(x='Gender', y='Premium Amount', data=avg_premium_by_gender)\nplt.title('Average Premium Amount by Gender')\nplt.show()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:30.758337Z","iopub.execute_input":"2024-12-26T03:11:30.758938Z","iopub.status.idle":"2024-12-26T03:11:30.96178Z","shell.execute_reply.started":"2024-12-26T03:11:30.758896Z","shell.execute_reply":"2024-12-26T03:11:30.96098Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 640x480 with 1 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"},"metadata":{}}],"execution_count":45},{"cell_type":"code","source":"sns.boxplot(x='Marital Status',y='Premium Amount',data=train)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:30.962791Z","iopub.execute_input":"2024-12-26T03:11:30.963136Z","iopub.status.idle":"2024-12-26T03:11:31.732818Z","shell.execute_reply.started":"2024-12-26T03:11:30.963095Z","shell.execute_reply":"2024-12-26T03:11:31.731915Z"}},"outputs":[{"execution_count":46,"output_type":"execute_result","data":{"text/plain":"<Axes: xlabel='Marital Status', ylabel='Premium Amount'>"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure size 640x480 with 1 Axes>","image/png":"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"},"metadata":{}}],"execution_count":46},{"cell_type":"code","source":"sns.boxplot(x='Number of Dependents',y='Premium Amount',data=train)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:31.733902Z","iopub.execute_input":"2024-12-26T03:11:31.734173Z","iopub.status.idle":"2024-12-26T03:11:32.146288Z","shell.execute_reply.started":"2024-12-26T03:11:31.734133Z","shell.execute_reply":"2024-12-26T03:11:32.145291Z"}},"outputs":[{"execution_count":47,"output_type":"execute_result","data":{"text/plain":"<Axes: xlabel='Number of Dependents', ylabel='Premium Amount'>"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure size 640x480 with 1 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"},"metadata":{}}],"execution_count":47},{"cell_type":"code","source":"num_cols= train.select_dtypes(include='number').columns\nnum_cols = [val for val in num_cols]\ncat_cols = train.select_dtypes(exclude='number').columns\ndatetime_cols = ['Policy Start Date']\ncat_cols = [col for col in cat_cols if col not in datetime_cols]\n\nprint(\"Numerical columns:\",)\nprint(num_cols)\nprint(\"\")\nprint(\"Categorical columns excluding datetime columns:\")\nprint(cat_cols)\nprint(\"\")\nprint(\"Datetime column:\")\ndatetime_cols","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:32.147388Z","iopub.execute_input":"2024-12-26T03:11:32.14764Z","iopub.status.idle":"2024-12-26T03:11:32.25852Z","shell.execute_reply.started":"2024-12-26T03:11:32.147617Z","shell.execute_reply":"2024-12-26T03:11:32.257646Z"}},"outputs":[{"name":"stdout","text":"Numerical columns:\n['Age', 'Annual Income', 'Number of Dependents', 'Health Score', 'Previous Claims', 'Vehicle Age', 'Credit Score', 'Insurance Duration', 'Premium Amount']\n\nCategorical columns excluding datetime columns:\n['Gender', 'Marital Status', 'Education Level', 'Occupation', 'Location', 'Policy Type', 'Customer Feedback', 'Smoking Status', 'Exercise Frequency', 'Property Type']\n\nDatetime column:\n","output_type":"stream"},{"execution_count":48,"output_type":"execute_result","data":{"text/plain":"['Policy Start Date']"},"metadata":{}}],"execution_count":48},{"cell_type":"code","source":"train[num_cols].hist(bins=30, figsize=(12, 15))\nplt.suptitle('Histograms of Numerical Columns')\nplt.show()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:32.259569Z","iopub.execute_input":"2024-12-26T03:11:32.259839Z","iopub.status.idle":"2024-12-26T03:11:34.210257Z","shell.execute_reply.started":"2024-12-26T03:11:32.259814Z","shell.execute_reply":"2024-12-26T03:11:34.209372Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1200x1500 with 9 Axes>","image/png":"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"},"metadata":{}}],"execution_count":49},{"cell_type":"code","source":"for col in cat_cols:\n    plt.figure(figsize=(4, 3))\n    sns.countplot(x=col, data=train)\n    plt.title(f'Count Plot of {col}')\n    plt.show()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:34.211251Z","iopub.execute_input":"2024-12-26T03:11:34.211507Z","iopub.status.idle":"2024-12-26T03:11:41.412533Z","shell.execute_reply.started":"2024-12-26T03:11:34.211481Z","shell.execute_reply":"2024-12-26T03:11:41.411676Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 400x300 with 1 Axes>","image/png":"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"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure 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XFJSIrZt2yZ8fX2Fvb290NXVFQYGBuLtt98WK1asULuETn309PTpUxEUFCTMzc2FQqFQ6y8rK0v4+fkJAwMD0bx5c/Hpp59Kh6GXj3H//n0RGBgoOnToIAwNDYWJiYlwc3MTe/fufeH7fBUphHjJP1mIiIiqwe9siIhIdgwbIiKSHcOGiIhkx7AhIiLZMWyIiEh2DBsiIpIdT+r8E5WVleHu3bswNjb+0y6xQkQkJyEEHj16BBsbmxdeyJZh8ye6e/duvVznioiosblz5w5at25d5XyGzZ+o/P4wd+7cqbfrXRERNaS8vDzY2tpWe/8rhs2fqHzXmUqlYtgQUZNS3VcDPECAiIhk12jC5uuvv4ZCoVC7LW9hYSECAwNhZmYGIyMj+Pn5VbrcfVpaGry9vWFgYAALCwvMnj0bT58+VauJjY1F165doauri3bt2iE8PLzS8jdu3AgHBwfo6enBzc0N58+fV5tfk16IiEizRhE2Fy5cwJYtW9C5c2e16TNnzsThw4exb98+xMXF4e7du3j//fel+aWlpfD29pYuex8REYHw8HCEhYVJNampqfD29kbfvn2RlJSE4OBgTJo0CSdOnJBq9uzZg5CQECxYsACXLl2Ci4sLvLy81C4HXl0vRET0Ag181Wnx6NEj8cYbb4jo6Gjh4eEhZsyYIYQQIicnR+jo6Ih9+/ZJtSkpKQKASEhIEEIIcezYMaGlpSXS09Olmm+//VaoVCrpUuJz5sypdBl0f39/4eXlJT3v3r272iXnS0tLhY2NjVi2bFmNe6mJ3NxcAUDk5ubW+DVERI1ZTX+vNfiWTWBgILy9vSvdDz4xMRElJSVq0zt06AA7OzvpTnwJCQlwdnaGpaWlVOPl5YW8vDwkJydLNc+P7eXlJY1RXFyMxMREtRotLS14enpKNTXpRZOioiLk5eWpPYiIXkcNejTa7t27cenSJVy4cKHSvPT0dCiVSpiamqpNt7S0RHp6ulRTMWjK55fPe1FNXl4enjx5guzsbJSWlmqsKb+3fE160WTZsmVYtGhRlfOJiF4XDbZlc+fOHcyYMQO7du2Cnp5eQ7Uhq3nz5iE3N1d63Llzp6FbIiJqEA0WNomJicjMzETXrl3RrFkzNGvWDHFxcVi3bh2aNWsGS0tLFBcXIycnR+11GRkZsLKyAgBYWVlVOiKs/Hl1NSqVCvr6+mjZsiW0tbU11lQco7peNNHV1ZXOqeG5NUT0Omuw3Wj9+/fHlStX1KaNHz8eHTp0QGhoKGxtbaGjo4OYmBj4+fkBAK5fv460tDS4u7sDANzd3bF06VJkZmbCwsICABAdHQ2VSgUnJyep5tixY2rLiY6OlsZQKpVwdXVFTEwMfH19ATy7hllMTAymTZsGAHB1da22l/rmOvs7WcZ9HSWuGNvQLdCfqNf6Xg3dQpMRHxRfb2M1WNgYGxujU6dOatMMDQ1hZmYmTZ84cSJCQkLQokULqFQqBAUFwd3dHT169AAADBw4EE5OTvj444+xfPlypKen48svv0RgYCB0dXUBAFOmTMGGDRswZ84cTJgwAadOncLevXtx9OhRabkhISEICAhAt27d0L17d6xZswb5+fkYP348AMDExKTaXoiIqGqN+nI1q1evhpaWFvz8/FBUVAQvLy9s2rRJmq+trY0jR45g6tSpcHd3h6GhIQICArB48WKppk2bNjh69ChmzpyJtWvXonXr1ti+fTu8vLykGn9/f2RlZSEsLAzp6eno0qULoqKi1A4aqK4Xer2kLXZu6BaaBLuwK9UXUZOgEEKIhm7idZGXlwcTExPk5uZW+/0Nd6PVHzl2ozFs6occYcPdaPWnJrvRavp7rcHPsyEioqaPYUNERLJj2BARkewYNkREJDuGDRERyY5hQ0REsmPYEBGR7Bg2REQkO4YNERHJjmFDRESyY9gQEZHsGDZERCQ7hg0REcmOYUNERLJj2BARkewYNkREJDuGDRERyY5hQ0REsmPYEBGR7Bg2REQkO4YNERHJjmFDRESyY9gQEZHsGDZERCQ7hg0REcmOYUNERLJj2BARkewYNkREJDuGDRERyY5hQ0REsmPYEBGR7Bg2REQkO4YNERHJjmFDRESyY9gQEZHsGDZERCQ7hg0REcmOYUNERLJj2BARkewYNkREJDuGDRERyY5hQ0REsmPYEBGR7Bg2REQkO4YNERHJrkHD5ttvv0Xnzp2hUqmgUqng7u6O48ePS/MLCwsRGBgIMzMzGBkZwc/PDxkZGWpjpKWlwdvbGwYGBrCwsMDs2bPx9OlTtZrY2Fh07doVurq6aNeuHcLDwyv1snHjRjg4OEBPTw9ubm44f/682vya9EJERJo1aNi0bt0aX3/9NRITE3Hx4kX069cPw4YNQ3JyMgBg5syZOHz4MPbt24e4uDjcvXsX77//vvT60tJSeHt7o7i4GL/88gsiIiIQHh6OsLAwqSY1NRXe3t7o27cvkpKSEBwcjEmTJuHEiRNSzZ49exASEoIFCxbg0qVLcHFxgZeXFzIzM6Wa6nohIqKqKYQQoqGbqKhFixZYsWIFRowYAXNzc0RGRmLEiBEAgGvXrqFjx45ISEhAjx49cPz4cQwdOhR3796FpaUlAGDz5s0IDQ1FVlYWlEolQkNDcfToUVy9elVaxqhRo5CTk4OoqCgAgJubG9555x1s2LABAFBWVgZbW1sEBQVh7ty5yM3NrbaXmsjLy4OJiQlyc3OhUqleWOs6+7varTiqUuKKsfU+Ztpi53of83VkF3al3sfstb5XvY/5uooPiq+2pqa/1xrNdzalpaXYvXs38vPz4e7ujsTERJSUlMDT01Oq6dChA+zs7JCQkAAASEhIgLOzsxQ0AODl5YW8vDxp6yghIUFtjPKa8jGKi4uRmJioVqOlpQVPT0+ppia9aFJUVIS8vDy1BxHR66jBw+bKlSswMjKCrq4upkyZgv3798PJyQnp6elQKpUwNTVVq7e0tER6ejoAID09XS1oyueXz3tRTV5eHp48eYL79++jtLRUY03FMarrRZNly5bBxMREetja2tZspRARNTENHjbt27dHUlISzp07h6lTpyIgIAC//fZbQ7dVL+bNm4fc3FzpcefOnYZuiYioQTRr6AaUSiXatWsHAHB1dcWFCxewdu1a+Pv7o7i4GDk5OWpbFBkZGbCysgIAWFlZVTpqrPwIsYo1zx81lpGRAZVKBX19fWhra0NbW1tjTcUxqutFE11dXejq6tZibRARNU0NvmXzvLKyMhQVFcHV1RU6OjqIiYmR5l2/fh1paWlwd3cHALi7u+PKlStqR41FR0dDpVLByclJqqk4RnlN+RhKpRKurq5qNWVlZYiJiZFqatILERFVrUG3bObNm4fBgwfDzs4Ojx49QmRkJGJjY3HixAmYmJhg4sSJCAkJQYsWLaBSqRAUFAR3d3fp6K+BAwfCyckJH3/8MZYvX4709HR8+eWXCAwMlLYopkyZgg0bNmDOnDmYMGECTp06hb179+Lo0aNSHyEhIQgICEC3bt3QvXt3rFmzBvn5+Rg/fjwA1KgXIiKqWoOGTWZmJsaOHYt79+7BxMQEnTt3xokTJzBgwAAAwOrVq6GlpQU/Pz8UFRXBy8sLmzZtkl6vra2NI0eOYOrUqXB3d4ehoSECAgKwePFiqaZNmzY4evQoZs6cibVr16J169bYvn07vLy8pBp/f39kZWUhLCwM6enp6NKlC6KiotQOGqiuFyIiqlqjO8+mKeN5Ng2D59k0XjzPpnFrkufZEBFR08WwISIi2TFsiIhIdgwbIiKSHcOGiIhkx7AhIiLZMWyIiEh2DBsiIpIdw4aIiGTHsCEiItkxbIiISHYMGyIikh3DhoiIZMewISIi2TFsiIhIdgwbIiKSHcOGiIhkx7AhIiLZMWyIiEh2DBsiIpIdw4aIiGTHsCEiItkxbIiISHYMGyIikh3DhoiIZMewISIi2TFsiIhIdnUKm379+iEnJ6fS9Ly8PPTr1+9leyIioiamTmETGxuL4uLiStMLCwtx9uzZl26KiIialma1Kf73v/8t/fu3335Denq69Ly0tBRRUVFo1apV/XVHRERNQq3CpkuXLlAoFFAoFBp3l+nr62P9+vX11hwRETUNtQqb1NRUCCHQtm1bnD9/Hubm5tI8pVIJCwsLaGtr13uTRET0aqtV2Njb2wMAysrKZGmGiIiaplqFTUU3btzA6dOnkZmZWSl8wsLCXroxIiJqOuoUNtu2bcPUqVPRsmVLWFlZQaFQSPMUCgXDhoiI1NQpbJYsWYKlS5ciNDS0vvshIqImqE7n2WRnZ2PkyJH13QsRETVRdQqbkSNH4uTJk/XdCxERNVF12o3Wrl07zJ8/H//617/g7OwMHR0dtfnTp0+vl+aIiKhpqFPYbN26FUZGRoiLi0NcXJzaPIVCwbAhIiI1dQqb1NTU+u6DiIiaMN5igIiIZFenLZsJEya8cP6OHTvq1AwRETVNdQqb7OxsteclJSW4evUqcnJyeD8bIiKqpE5hs3///krTysrKMHXqVDg6Or50U0RE1LTU23c2WlpaCAkJwerVq2v8mmXLluGdd96BsbExLCws4Ovri+vXr6vVFBYWIjAwEGZmZjAyMoKfnx8yMjLUatLS0uDt7Q0DAwNYWFhg9uzZePr0qVpNbGwsunbtCl1dXbRr1w7h4eGV+tm4cSMcHBygp6cHNzc3nD9/vta9EBFRZfV6gMDNmzcr/ZJ/kbi4OAQGBuJf//oXoqOjUVJSgoEDByI/P1+qmTlzJg4fPox9+/YhLi4Od+/exfvvvy/NLy0thbe3N4qLi/HLL78gIiIC4eHhatdnS01Nhbe3N/r27YukpCQEBwdj0qRJOHHihFSzZ88ehISEYMGCBbh06RJcXFzg5eWFzMzMGvdCRESaKYQQorYvCgkJUXsuhMC9e/dw9OhRBAQEYMOGDXVqJisrCxYWFoiLi0OfPn2Qm5sLc3NzREZGYsSIEQCAa9euoWPHjkhISECPHj1w/PhxDB06FHfv3oWlpSUAYPPmzQgNDUVWVhaUSiVCQ0Nx9OhRXL16VVrWqFGjkJOTg6ioKACAm5sb3nnnHan3srIy2NraIigoCHPnzq1RL88rKipCUVGR9DwvLw+2trbIzc2FSqV64bpwnf1dndYhVZa4Ymy9j5m22Lnex3wd2YVdqfcxe63vVe9jvq7ig+KrrcnLy4OJiUm1v9fqtGXz66+/qj3Kbxe9cuVKrFmzpi5DAgByc3MBAC1atAAAJCYmoqSkBJ6enlJNhw4dYGdnh4SEBABAQkICnJ2dpaABAC8vL+Tl5SE5OVmqqThGeU35GMXFxUhMTFSr0dLSgqenp1RTk16et2zZMpiYmEgPW1vbuq0YIqJXXJ0OEDh9+nR994GysjIEBwejV69e6NSpEwAgPT0dSqUSpqamarWWlpZIT0+XaioGTfn88nkvqsnLy8OTJ0+QnZ2N0tJSjTXXrl2rcS/PmzdvntpWYPmWDRHR66bON08Dnu32Kv9Cv3379mq3ia6twMBAXL16FT///PPLtNSo6OrqQldXt6HbICJqcHXajZafn48JEybA2toaffr0QZ8+fWBjY4OJEyeioKCg1uNNmzYNR44cwenTp9G6dWtpupWVFYqLi5GTk6NWn5GRASsrK6nm+SPCyp9XV6NSqaCvr4+WLVtCW1tbY03FMarrhYiINKtT2ISEhCAuLg6HDx9GTk4OcnJycPDgQcTFxWHWrFk1HkcIgWnTpmH//v04deoU2rRpozbf1dUVOjo6iImJkaZdv34daWlpcHd3BwC4u7vjypUrakeNRUdHQ6VSwcnJSaqpOEZ5TfkYSqUSrq6uajVlZWWIiYmRamrSCxERaVan3Wg//PAD/vnPf+K9996Tpg0ZMgT6+vr44IMP8O2339ZonMDAQERGRuLgwYMwNjaWvvswMTGBvr4+TExMMHHiRISEhKBFixZQqVQICgqCu7u7dPTXwIED4eTkhI8//hjLly9Heno6vvzySwQGBkq7sKZMmYINGzZgzpw5mDBhAk6dOoW9e/fi6NGjUi8hISEICAhAt27d0L17d6xZswb5+fkYP3681FN1vRARkWZ1CpuCgoJKX6YDgIWFRa12o5WHUsXQAoCdO3di3LhxAIDVq1dDS0sLfn5+KCoqgpeXFzZt2iTVamtr48iRI5g6dSrc3d1haGiIgIAALF68WKpp06YNjh49ipkzZ2Lt2rVo3bo1tm/fDi8vL6nG398fWVlZCAsLQ3p6Orp06YKoqCi191ldL0REpFmdzrPp378/zMzM8N1330FPTw8A8OTJEwQEBODhw4f46aef6r3RpqCmx6MDPM+mPvE8m8aL59k0bvV5nk2dtmzWrFmDQYMGoXXr1nBxcQEAXL58Gbq6urxdNBERVVKnsHF2dsaNGzewa9cu6TyU0aNHY8yYMdDX16/XBomI6NVXp7BZtmwZLC0tMXnyZLXpO3bsQFZWFkJDQ+ulOSIiahrqdOjzli1b0KFDh0rT33rrLWzevPmlmyIioqalTmGTnp4Oa2vrStPNzc1x7969l26KiIialjqFja2tLeLjKx+lEB8fDxsbm5duioiImpY6fWczefJkBAcHo6SkRLoNdExMDObMmVOrKwgQEdHroU5hM3v2bDx48ACfffYZiouLAQB6enoIDQ3FvHnz6rVBIiJ69dUpbBQKBb755hvMnz8fKSkp0NfXxxtvvMErHBMRkUYvdYsBIyMjvPPOO/XVCxERNVF1OkCAiIioNhg2REQkO4YNERHJjmFDRESyY9gQEZHsGDZERCQ7hg0REcmOYUNERLJj2BARkewYNkREJDuGDRERyY5hQ0REsmPYEBGR7Bg2REQkO4YNERHJjmFDRESyY9gQEZHsGDZERCQ7hg0REcmOYUNERLJj2BARkewYNkREJDuGDRERyY5hQ0REsmPYEBGR7Bg2REQkO4YNERHJjmFDRESyY9gQEZHsGDZERCQ7hg0REcmOYUNERLJj2BARkewYNkREJLsGDZszZ87Ax8cHNjY2UCgUOHDggNp8IQTCwsJgbW0NfX19eHp64saNG2o1Dx8+xJgxY6BSqWBqaoqJEyfi8ePHajX//ve/0bt3b+jp6cHW1hbLly+v1Mu+ffvQoUMH6OnpwdnZGceOHat1L0REpFmDhk1+fj5cXFywceNGjfOXL1+OdevWYfPmzTh37hwMDQ3h5eWFwsJCqWbMmDFITk5GdHQ0jhw5gjNnzuCTTz6R5ufl5WHgwIGwt7dHYmIiVqxYgYULF2Lr1q1SzS+//ILRo0dj4sSJ+PXXX+Hr6wtfX19cvXq1Vr0QEZFmCiGEaOgmAEChUGD//v3w9fUF8GxLwsbGBrNmzcLnn38OAMjNzYWlpSXCw8MxatQopKSkwMnJCRcuXEC3bt0AAFFRURgyZAj+85//wMbGBt9++y2++OILpKenQ6lUAgDmzp2LAwcO4Nq1awAAf39/5Ofn48iRI1I/PXr0QJcuXbB58+Ya9VITeXl5MDExQW5uLlQq1QtrXWd/V/OVRy+UuGJsvY+Ztti53sd8HdmFXan3MXut71XvY76u4oPiq62p6e+1RvudTWpqKtLT0+Hp6SlNMzExgZubGxISEgAACQkJMDU1lYIGADw9PaGlpYVz585JNX369JGCBgC8vLxw/fp1ZGdnSzUVl1NeU76cmvSiSVFREfLy8tQeRESvo0YbNunp6QAAS0tLtemWlpbSvPT0dFhYWKjNb9asGVq0aKFWo2mMisuoqqbi/Op60WTZsmUwMTGRHra2ttW8ayKipqnRhk1TMG/ePOTm5kqPO3fuNHRLREQNotGGjZWVFQAgIyNDbXpGRoY0z8rKCpmZmWrznz59iocPH6rVaBqj4jKqqqk4v7peNNHV1YVKpVJ7EBG9jhpt2LRp0wZWVlaIiYmRpuXl5eHcuXNwd3cHALi7uyMnJweJiYlSzalTp1BWVgY3Nzep5syZMygpKZFqoqOj0b59ezRv3lyqqbic8pry5dSkFyIiqlqDhs3jx4+RlJSEpKQkAM++iE9KSkJaWhoUCgWCg4OxZMkSHDp0CFeuXMHYsWNhY2MjHbHWsWNHDBo0CJMnT8b58+cRHx+PadOmYdSoUbCxsQEAfPjhh1AqlZg4cSKSk5OxZ88erF27FiEhIVIfM2bMQFRUFFauXIlr165h4cKFuHjxIqZNmwYANeqFiIiq1qwhF37x4kX07dtXel4eAAEBAQgPD8ecOXOQn5+PTz75BDk5OXj33XcRFRUFPT096TW7du3CtGnT0L9/f2hpacHPzw/r1q2T5puYmODkyZMIDAyEq6srWrZsibCwMLVzcXr27InIyEh8+eWX+J//+R+88cYbOHDgADp16iTV1KQXIiLSrNGcZ/M64Hk2DYPn2TRePM+mcXstzrMhIqKmg2FDRESyY9gQEZHsGDZERCQ7hg0REcmOYUNERLJj2BARkewYNkREJDuGDRERyY5hQ0REsmPYEBGR7Bg2REQkO4YNERHJjmFDRESyY9gQEZHsGDZERCQ7hg0REcmOYUNERLJj2BARkewYNkREJDuGDRERyY5hQ0REsmPYEBGR7Bg2REQkO4YNERHJjmFDRESyY9gQEZHsGDZERCQ7hg0REcmOYUNERLJj2BARkewYNkREJDuGDRERyY5hQ0REsmPYEBGR7Bg2REQkO4YNERHJjmFDRESyY9gQEZHsGDZERCQ7hg0REcmOYUNERLJj2BARkewYNkREJDuGDRERyY5hU0sbN26Eg4MD9PT04ObmhvPnzzd0S0REjR7Dphb27NmDkJAQLFiwAJcuXYKLiwu8vLyQmZnZ0K0RETVqDJtaWLVqFSZPnozx48fDyckJmzdvhoGBAXbs2NHQrRERNWrNGrqBV0VxcTESExMxb948aZqWlhY8PT2RkJCg8TVFRUUoKiqSnufm5gIA8vLyql1eadGTl+yYytVkfdfWo8LSeh/zdSTHZ/P0ydN6H/N1VZPPp7xGCPHCOoZNDd2/fx+lpaWwtLRUm25paYlr165pfM2yZcuwaNGiStNtbW1l6ZE0M1k/paFboKosM2noDugFTEJr/vk8evQIJiZV1zNsZDRv3jyEhIRIz8vKyvDw4UOYmZlBoVA0YGf1Iy8vD7a2trhz5w5UKlVDt0MV8LNpvJraZyOEwKNHj2BjY/PCOoZNDbVs2RLa2trIyMhQm56RkQErKyuNr9HV1YWurq7aNFNTU7labDAqlapJ/NA0RfxsGq+m9Nm8aIumHA8QqCGlUglXV1fExMRI08rKyhATEwN3d/cG7IyIqPHjlk0thISEICAgAN26dUP37t2xZs0a5OfnY/z48Q3dGhFRo8awqQV/f39kZWUhLCwM6enp6NKlC6KioiodNPC60NXVxYIFCyrtKqSGx8+m8XpdPxuFqO54NSIiopfE72yIiEh2DBsiIpIdw4aIiGTHsKF65+DggDVr1rzUGAsXLkSXLl3qpZ9XhUKhwIEDBxq6jTp57733EBwc3NBtNCg5Pr+m9HPAsGmixo0bB4VCgSlTKl+qJTAwEAqFAuPGjZNl2RcuXMAnn3wiy9ivovLPQqFQQEdHB5aWlhgwYAB27NiBsrIyqe7evXsYPHhwA3ZKL5KVlYWpU6fCzs4Ourq6sLKygpeXF+Lj4wHw86sOw6YJs7W1xe7du/Hkyf+/qGdhYSEiIyNhZ2f3UmOXlJRUmlZcXAwAMDc3h4GBwUuN39QMGjQI9+7dw61bt3D8+HH07dsXM2bMwNChQ/H06bMLR1pZWcl6OGxpaalauFHt+Pn54ddff0VERAR+//13HDp0CO+99x4ePHgAQP7P71XHsGnCunbtCltbW/z444/StB9//BF2dnZ4++23pWlRUVF49913YWpqCjMzMwwdOhQ3b96U5t+6dQsKhQJ79uyBh4cH9PT0sGvXLowbNw6+vr5YunQpbGxs0L59ewCVd6Pl5ORg0qRJMDc3h0qlQr9+/XD58mW1Xr/++mtYWlrC2NgYEydORGFhoUxrpWGU/yXcqlUrdO3aFf/zP/+DgwcP4vjx4wgPDwegvhumZ8+eCA0NVRsjKysLOjo6OHPmDAAgOzsbY8eORfPmzWFgYIDBgwfjxo0bUn14eDhMTU1x6NAhODk5QVdXF2lpaSgqKkJoaChsbW2hq6uLdu3a4W9/+5v0uqtXr2Lw4MEwMjKCpaUlPv74Y9y/f1+an5+fj7Fjx8LIyAjW1tZYuXKlTGut8cjJycHZs2fxzTffoG/fvrC3t0f37t0xb948/OUvfwGg/vmV/8z8+OOP6Nu3LwwMDODi4lLpCvHbtm2Dra0tDAwMMHz4cKxataraS1pt374dHTt2hJ6eHjp06IBNmzbJ8ZbrHcOmiZswYQJ27twpPd+xY0elKx7k5+cjJCQEFy9eRExMDLS0tDB8+PBKfwXPnTsXM2bMQEpKCry8vAAAMTExuH79OqKjo3HkyBGNPYwcORKZmZk4fvw4EhMT0bVrV/Tv3x8PHz4EAOzduxcLFy7EX//6V1y8eBHW1tavzA/Qy+jXrx9cXFzU/hgoN2bMGOzevVvtsu179uyBjY0NevfuDeDZ7rmLFy/i0KFDSEhIgBACQ4YMUdvqLCgowDfffIPt27cjOTkZFhYWGDt2LP7xj39g3bp1SElJwZYtW2BkZATg2S/Vfv364e2338bFixcRFRWFjIwMfPDBB9KYs2fPRlxcHA4ePIiTJ08iNjYWly5dkms1NQpGRkYwMjLCgQMH1G4bUp0vvvgCn3/+OZKSkvDmm29i9OjR0pZsfHw8pkyZghkzZiApKQkDBgzA0qVLXzjerl27EBYWhqVLlyIlJQV//etfMX/+fERERLzU+/tTCGqSAgICxLBhw0RmZqbQ1dUVt27dErdu3RJ6enoiKytLDBs2TAQEBGh8bVZWlgAgrly5IoQQIjU1VQAQa9asqbQMS0tLUVRUpDbd3t5erF69WgghxNmzZ4VKpRKFhYVqNY6OjmLLli1CCCHc3d3FZ599pjbfzc1NuLi41PHdNy7ln4Um/v7+omPHjkIIIQCI/fv3CyGEyMzMFM2aNRNnzpyRat3d3UVoaKgQQojff/9dABDx8fHS/Pv37wt9fX2xd+9eIYQQO3fuFABEUlKSVHP9+nUBQERHR2vs56uvvhIDBw5Um3bnzh0BQFy/fl08evRIKJVKaRlCCPHgwQOhr68vZsyYUbMV8or65z//KZo3by709PREz549xbx588Tly5el+RU/v/Kfme3bt0vzk5OTBQCRkpIihHj22Xt7e6stY8yYMcLExER6vmDBArWfA0dHRxEZGan2mq+++kq4u7vX07uUD7dsmjhzc3N4e3sjPDwcO3fuhLe3N1q2bKlWc+PGDYwePRpt27aFSqWCg4MDACAtLU2trlu3bpXGd3Z2hlKprHL5ly9fxuPHj2FmZib9dWhkZITU1FRpV11KSgrc3NzUXve6XNxUCKHxdhPm5uYYOHAgdu3aBQBITU1FQkICxowZA+DZOmvWrJnaejMzM0P79u2RkpIiTVMqlejcubP0PCkpCdra2vDw8NDYz+XLl3H69Gm1z6pDhw4AgJs3b+LmzZsoLi5WW26LFi2kXahNmZ+fH+7evYtDhw5h0KBBiI2NRdeuXaXdoJpUXPfW1tYAIN1G/vr16+jevbta/fPPK8rPz8fNmzcxceJEtc9nyZIlaru9GyteG+01MGHCBEybNg0AsHHjxkrzfXx8YG9vj23btsHGxgZlZWXo1KmT9IV/OUNDw0qv1TStosePH8Pa2hqxsbGV5jXF2y3UVkpKCtq0aaNx3pgxYzB9+nSsX78ekZGRcHZ2hrOzc63G19fXVwszfX39F9Y/fvwYPj4++OabbyrNs7a2xh9//FGr5Tc1enp6GDBgAAYMGID58+dj0qRJWLBgQZVHduro6Ej/Lv8c6nqQxuPHjwE8+57n+T/OtLW16zTmn4lbNq+BQYMGobi4GCUlJdJ3LeUePHiA69ev48svv0T//v3RsWNHZGdn19uyu3btivT0dDRr1gzt2rVTe5RvYXXs2BHnzp1Te92//vWveuuhsTp16hSuXLkCPz8/jfOHDRuGwsJCREVFITIyUtqqAZ6ts6dPn6qtt/LP0snJqcplOjs7o6ysDHFxcRrnd+3aFcnJyXBwcKj0eRkaGsLR0RE6Ojpqy83Ozsbvv/9e27ffJDg5OSE/P79Or23fvj0uXLigNu355xVZWlrCxsYG//d//1fps6nqD5bGhFs2rwFtbW1p18rzfwE1b94cZmZm2Lp1K6ytrZGWloa5c+fW27I9PT3h7u4OX19fLF++HG+++Sbu3r2Lo0ePYvjw4ejWrRtmzJiBcePGoVu3bujVqxd27dqF5ORktG3btt76aGhFRUVIT09HaWkpMjIyEBUVhWXLlmHo0KEYO3asxtcYGhrC19cX8+fPR0pKCkaPHi3Ne+ONNzBs2DBMnjwZW7ZsgbGxMebOnYtWrVph2LBhVfbh4OCAgIAATJgwAevWrYOLiwtu376NzMxMfPDBBwgMDMS2bdswevRozJkzBy1atMAff/yB3bt3Y/v27TAyMsLEiRMxe/ZsmJmZwcLCAl988QW0tJr2360PHjzAyJEjMWHCBHTu3BnGxsa4ePEili9f/sL1/SJBQUHo06cPVq1aBR8fH5w6dQrHjx9/4V18Fy1ahOnTp8PExASDBg1CUVERLl68iOzsbLW7AjdGTft/CEmquiuglpYWdu/ejcTERHTq1AkzZ87EihUr6m25CoUCx44dQ58+fTB+/Hi8+eabGDVqFG7fvi3dmsHf3x/z58/HnDlz4Orqitu3b2Pq1Kn11kNjEBUVBWtrazg4OGDQoEE4ffo01q1bh4MHD75wF8iYMWNw+fJl9O7du9K5UTt37oSrqyuGDh0Kd3d3CCFw7NgxtV03mnz77bcYMWIEPvvsM3To0AGTJ0+W/jq3sbFBfHw8SktLMXDgQDg7OyM4OBimpqZSoKxYsQK9e/eGj48PPD098e6778LV1fUl11DjZmRkBDc3N6xevRp9+vRBp06dMH/+fEyePBkbNmyo05i9evXC5s2bsWrVKri4uCAqKgozZ86Enp5ela+ZNGkStm/fjp07d8LZ2RkeHh4IDw9/JbZseIsBIqJGYvLkybh27RrOnj3b0K3UO+5GIyJqIP/7v/+LAQMGwNDQEMePH0dERESTPceMWzZERA3kgw8+QGxsLB49eoS2bdsiKChI4/UMmwKGDRERyY4HCBARkewYNkREJDuGDRERyY5hQ0REsmPYEBGR7Bg2RA2s/CZnjWUcIjkwbIiqMG7cOCgUCo3nPQQGBkKhUFR5td/a8Pf3V7uQ5cKFC9GlS5eXHleTuLg49OvXDy1atICBgQHeeOMNBAQESFf4rmtgxcbGQqFQICcnp34bpiaDYUP0Ara2tti9ezeePHkiTSssLERkZGSla5XVRUlJCfT19WFhYfHSY1Xnt99+w6BBg9CtWzecOXMGV65cwfr166FUKlFaWir78un1xrAheoGuXbvC1tZW7dbNP/74I+zs7PD222+r1UZFReHdd9+FqakpzMzMMHToULWbWpXfl37Pnj3w8PCAnp4edu3apbY1ER4ejkWLFuHy5ctQKBRQKBTSzblWrVoFZ2dnGBoawtbWFp999pl0j5OaOHnyJKysrLB8+XJ06tQJjo6OGDRoELZt2wZ9fX3ExsZi/PjxyM3NlZa9cOFCAMD333+Pbt26wdjYGFZWVvjwww+lm4DdunULffv2BfDsKuIVt/gcHBywZs0atT66dOkijSuEwMKFC2FnZwddXV3Y2Nhg+vTpNX5P9Opg2BBVY8KECdi5c6f0fMeOHRg/fnyluvz8fISEhODixYuIiYmBlpYWhg8fXulmWXPnzsWMGTOQkpJS6f5C/v7+mDVrFt566y3cu3cP9+7dg7+/P4BnV+het24dkpOTERERgVOnTmHOnDk1fh9WVla4d+8ezpw5o3F+z549sWbNGqhUKmnZn3/+OYBnW2BfffUVLl++jAMHDuDWrVtSoNja2uKHH34A8Ozuk/fu3cPatWtr1NMPP/yA1atXY8uWLbhx4wYOHDhQ6xvE0auBF+IkqsZHH32EefPm4fbt2wCA+Ph47N69u9LdR5+/CdqOHTtgbm6O3377DZ06dZKmBwcH4/3339e4LH19fRgZGaFZs2awsrJSmxccHCz928HBAUuWLMGUKVNqfOHGkSNH4sSJE/Dw8ICVlRV69OiB/v37Y+zYsVCpVFAqlTAxMYFCoai07AkTJkj/btu2LdatW4d33nkHjx8/hpGREVq0aAEAsLCwqNV3PmlpabCysoKnpyd0dHRgZ2f3wlsj06uLWzZE1TA3N4e3tzfCw8Oxc+dOeHt7S3cZrejGjRsYPXo02rZtC5VKBQcHBwDPfqFW1K1btzr18dNPP6F///5o1aoVjI2N8fHHH+PBgwcoKCio0eu1tbWxc+dO/Oc//8Hy5cvRqlUr/PWvf5W2ol4kMTERPj4+sLOzg7GxMTw8PDS+t9oaOXIknjx5grZt22Ly5MnYv38/nj59+lJjUuPEsCGqgQkTJiA8PBwRERFqf+VX5OPjg4cPH2Lbtm04d+6cdOvk8iO9yhkaGtZ6+bdu3cLQoUPRuXNn/PDDD0hMTMTGjRs1jl+dVq1a4eOPP8aGDRuQnJyMwsJCbN68ucr6/Px8eHl5QaVSYdeuXbhw4QL2799fo2VraWnh+Wv9lpSUSP+2tbXF9evXsWnTJujr6+Ozzz5Dnz591GqoaeBuNKIaGDRoEIqLi6FQKCp9zwI8u23w9evXsW3bNvTu3RsA8PPPP9dpWZqODktMTERZWRlWrlwp3TFz7969dRq/oubNm8Pa2lq6U6emZV+7dg0PHjzA119/DVtbWwDAxYsXK/UMoNJrzc3N1baa8vLykJqaqlajr68PHx8f+Pj4IDAwEB06dMCVK1fQtWvXl35/1HgwbIhqQFtbGykpKdK/n9e8eXOYmZlh69atsLa2RlpaGubOnVunZTk4OCA1NRVJSUlo3bo1jI2N0a5dO5SUlGD9+vXw8fFBfHz8C7dGNNmyZQuSkpIwfPhwODo6orCwEN999x2Sk5Oxfv16admPHz9GTEwMXFxcYGBgADs7OyiVSqxfvx5TpkzB1atX8dVXX6mNbW9vD4VCgSNHjmDIkCHSd0/9+vVDeHg4fHx8YGpqirCwMLX1Fx4ejtLSUri5ucHAwAB///vfoa+vD3t7+zqtO2rEBBFpFBAQIIYNG1bl/GHDhomAgADpeXR0tOjYsaPQ1dUVnTt3FrGxsQKA2L9/vxBCiNTUVAFA/Prrr2rj7Ny5U5iYmEjPCwsLhZ+fnzA1NRUAxM6dO4UQQqxatUpYW1sLfX194eXlJb777jsBQGRnZ2sc53mXLl0SH330kWjTpo3Q1dUVZmZmok+fPuLQoUNqdVOmTBFmZmYCgFiwYIEQQojIyEjh4OAgdHV1hbu7uzh06FCl97J48WJhZWUlFAqFtF5yc3OFv7+/UKlUwtbWVoSHhwsXFxdp3P379ws3NzehUqmEoaGh6NGjh/jpp5+qfA/06uLN04iISHY8QICIiGTHsCEiItkxbIiISHYMGyIikh3DhoiIZMewISIi2TFsiIhIdgwbIiKSHcOGiIhkx7AhIiLZMWyIiEh2/w/+SD0lq7rdrgAAAABJRU5ErkJggg=="},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure 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"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure 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"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure 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"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure 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"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure size 400x300 with 1 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"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure 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"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure 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"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure 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"},"metadata":{}}],"execution_count":50},{"cell_type":"code","source":"corr_matrix = train[num_cols].corr()\nplt.figure(figsize=(10, 8))\nsns.heatmap(corr_matrix, cmap = 'Greens')\nplt.title('Correlation Heatmap of Numerical Columns')\nplt.show()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:41.413837Z","iopub.execute_input":"2024-12-26T03:11:41.414226Z","iopub.status.idle":"2024-12-26T03:11:41.954598Z","shell.execute_reply.started":"2024-12-26T03:11:41.414185Z","shell.execute_reply":"2024-12-26T03:11:41.953628Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1000x800 with 2 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"},"metadata":{}}],"execution_count":51},{"cell_type":"markdown","source":"Feature engineering","metadata":{}},{"cell_type":"code","source":"train.isnull().sum()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:41.955525Z","iopub.execute_input":"2024-12-26T03:11:41.95576Z","iopub.status.idle":"2024-12-26T03:11:42.491286Z","shell.execute_reply.started":"2024-12-26T03:11:41.955736Z","shell.execute_reply":"2024-12-26T03:11:42.490392Z"}},"outputs":[{"execution_count":52,"output_type":"execute_result","data":{"text/plain":"Age                      18705\nGender                       0\nAnnual Income            44949\nMarital Status           18529\nNumber of Dependents    109672\nEducation Level              0\nOccupation              358075\nHealth Score             74076\nLocation                     0\nPolicy Type                  0\nPrevious Claims         364029\nVehicle Age                  6\nCredit Score            137882\nInsurance Duration           1\nPolicy Start Date            0\nCustomer Feedback        77824\nSmoking Status               0\nExercise Frequency           0\nProperty Type                0\nPremium Amount               0\ndtype: int64"},"metadata":{}}],"execution_count":52},{"cell_type":"code","source":"test.isnull().sum()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:42.492461Z","iopub.execute_input":"2024-12-26T03:11:42.49273Z","iopub.status.idle":"2024-12-26T03:11:42.851067Z","shell.execute_reply.started":"2024-12-26T03:11:42.492703Z","shell.execute_reply":"2024-12-26T03:11:42.850144Z"}},"outputs":[{"execution_count":53,"output_type":"execute_result","data":{"text/plain":"Age                      12489\nGender                       0\nAnnual Income            29860\nMarital Status           12336\nNumber of Dependents     73130\nEducation Level              0\nOccupation              239125\nHealth Score             49449\nLocation                     0\nPolicy Type                  0\nPrevious Claims         242802\nVehicle Age                  3\nCredit Score             91451\nInsurance Duration           2\nPolicy Start Date            0\nCustomer Feedback        52276\nSmoking Status               0\nExercise Frequency           0\nProperty Type                0\ndtype: int64"},"metadata":{}}],"execution_count":53},{"cell_type":"code","source":"num_cols= train.select_dtypes(include='number').columns\nnum_cols = [val for val in num_cols]\ncat_cols = train.select_dtypes(exclude='number').columns\ndatetime_cols = ['Policy Start Date']\ncat_cols = [col for col in cat_cols if col not in datetime_cols]\n\nprint(\"Numerical columns:\",)\nprint(num_cols)\nprint(\"\")\nprint(\"Categorical columns excluding datetime columns:\")\nprint(cat_cols)\nprint(\"\")\nprint(\"Datetime column:\")\ndatetime_cols","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:42.852356Z","iopub.execute_input":"2024-12-26T03:11:42.852723Z","iopub.status.idle":"2024-12-26T03:11:42.962018Z","shell.execute_reply.started":"2024-12-26T03:11:42.852685Z","shell.execute_reply":"2024-12-26T03:11:42.961173Z"}},"outputs":[{"name":"stdout","text":"Numerical columns:\n['Age', 'Annual Income', 'Number of Dependents', 'Health Score', 'Previous Claims', 'Vehicle Age', 'Credit Score', 'Insurance Duration', 'Premium Amount']\n\nCategorical columns excluding datetime columns:\n['Gender', 'Marital Status', 'Education Level', 'Occupation', 'Location', 'Policy Type', 'Customer Feedback', 'Smoking Status', 'Exercise Frequency', 'Property Type']\n\nDatetime column:\n","output_type":"stream"},{"execution_count":54,"output_type":"execute_result","data":{"text/plain":"['Policy Start Date']"},"metadata":{}}],"execution_count":54},{"cell_type":"code","source":"numerical_columns = train.select_dtypes(include=['int32', 'int64', 'float64']).columns.tolist()\nnumerical_columns.remove('Premium Amount') \n\nfor col in numerical_columns:\n    median_value = train[col].median()\n    train[col] = train[col].fillna(median_value)\n    test[col] = test[col].fillna(median_value)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:42.963094Z","iopub.execute_input":"2024-12-26T03:11:42.963385Z","iopub.status.idle":"2024-12-26T03:11:43.240984Z","shell.execute_reply.started":"2024-12-26T03:11:42.963358Z","shell.execute_reply":"2024-12-26T03:11:43.240304Z"}},"outputs":[],"execution_count":55},{"cell_type":"code","source":"categorical_columns = train.select_dtypes(include=['object']).columns.tolist()\n\nfor col in categorical_columns:\n    train[col] = train[col].astype(str).fillna(\"Unknown\")\n    test[col] = test[col].astype(str).fillna(\"Unknown\")","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:43.242046Z","iopub.execute_input":"2024-12-26T03:11:43.242409Z","iopub.status.idle":"2024-12-26T03:11:44.856868Z","shell.execute_reply.started":"2024-12-26T03:11:43.242371Z","shell.execute_reply":"2024-12-26T03:11:44.85606Z"}},"outputs":[],"execution_count":56},{"cell_type":"code","source":"train.isnull().sum()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:44.857951Z","iopub.execute_input":"2024-12-26T03:11:44.858264Z","iopub.status.idle":"2024-12-26T03:11:45.394772Z","shell.execute_reply.started":"2024-12-26T03:11:44.858236Z","shell.execute_reply":"2024-12-26T03:11:45.393897Z"}},"outputs":[{"execution_count":57,"output_type":"execute_result","data":{"text/plain":"Age                     0\nGender                  0\nAnnual Income           0\nMarital Status          0\nNumber of Dependents    0\nEducation Level         0\nOccupation              0\nHealth Score            0\nLocation                0\nPolicy Type             0\nPrevious Claims         0\nVehicle Age             0\nCredit Score            0\nInsurance Duration      0\nPolicy Start Date       0\nCustomer Feedback       0\nSmoking Status          0\nExercise Frequency      0\nProperty Type           0\nPremium Amount          0\ndtype: int64"},"metadata":{}}],"execution_count":57},{"cell_type":"code","source":"test.isnull().sum()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:45.396083Z","iopub.execute_input":"2024-12-26T03:11:45.396917Z","iopub.status.idle":"2024-12-26T03:11:45.759472Z","shell.execute_reply.started":"2024-12-26T03:11:45.396877Z","shell.execute_reply":"2024-12-26T03:11:45.758622Z"}},"outputs":[{"execution_count":58,"output_type":"execute_result","data":{"text/plain":"Age                     0\nGender                  0\nAnnual Income           0\nMarital Status          0\nNumber of Dependents    0\nEducation Level         0\nOccupation              0\nHealth Score            0\nLocation                0\nPolicy Type             0\nPrevious Claims         0\nVehicle Age             0\nCredit Score            0\nInsurance Duration      0\nPolicy Start Date       0\nCustomer Feedback       0\nSmoking Status          0\nExercise Frequency      0\nProperty Type           0\ndtype: int64"},"metadata":{}}],"execution_count":58},{"cell_type":"markdown","source":"Models","metadata":{}},{"cell_type":"markdown","source":"XGB Regression","metadata":{}},{"cell_type":"code","source":"import pandas as pd\nfrom sklearn.preprocessing import LabelEncoder\n\n# Create a copy of your original dataframe\ntrain_copy1 = train.copy()\ntest_copy1 = test.copy()\n\nle = LabelEncoder()\n\n# Loop through each column in the dataframe\nfor column in train_copy1.columns:\n    if train_copy1[column].dtype == 'object':  # For categorical columns\n        train_copy1[column] = le.fit_transform(train_copy1[column])\n\n# Loop through each column in the dataframe\nfor column in test_copy1.columns:\n    if test_copy1[column].dtype == 'object':  # For categorical columns\n        test_copy1[column] = le.fit_transform(test_copy1[column])","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:45.760508Z","iopub.execute_input":"2024-12-26T03:11:45.76087Z","iopub.status.idle":"2024-12-26T03:11:50.722325Z","shell.execute_reply.started":"2024-12-26T03:11:45.760818Z","shell.execute_reply":"2024-12-26T03:11:50.721595Z"}},"outputs":[],"execution_count":59},{"cell_type":"code","source":"train_copy1.head()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-12-26T03:11:50.723412Z","iopub.execute_input":"2024-12-26T03:11:50.723677Z","iopub.status.idle":"2024-12-26T03:11:50.742535Z","shell.execute_reply.started":"2024-12-26T03:11:50.723651Z","shell.execute_reply":"2024-12-26T03:11:50.74175Z"}},"outputs":[{"execution_count":60,"output_type":"execute_result","data":{"text/plain":"    Age  Gender  Annual Income  Marital Status  Number of Dependents  \\\n0  19.0       0        10049.0               1                   1.0   \n1  39.0       0        31678.0               0                   3.0   \n2  23.0       1        25602.0               0                   3.0   \n3  21.0       1       141855.0               1                   2.0   \n4  21.0       1        39651.0               2                   1.0   \n\n   Education Level  Occupation  Health Score  Location  Policy Type  \\\n0                0           1     22.598761         2            2   \n1                2           3     15.569731         0            1   \n2                1           1     47.177549         1            2   \n3                0           3     10.938144         0            0   \n4                0           1     20.376094         0            2   \n\n   Previous Claims  Vehicle Age  Credit Score  Insurance Duration  \\\n0              2.0         17.0         372.0                 5.0   \n1              1.0         12.0         694.0                 2.0   \n2              1.0         14.0         595.0                 3.0   \n3              1.0          0.0         367.0                 1.0   \n4              0.0          8.0         598.0                 4.0   \n\n   Policy Start Date  Customer Feedback  Smoking Status  Exercise Frequency  \\\n0             145522                  2               0                   3   \n1             127832                  0               1                   1   \n2             137880                  1               1                   3   \n3             161517                  2               1                   0   \n4              76621                  2               1                   3   \n\n   Property Type  Premium Amount  \n0              2          2869.0  \n1              2          1483.0  \n2              2           567.0  \n3              0           765.0  \n4              2          2022.0  ","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>Age</th>\n      <th>Gender</th>\n      <th>Annual Income</th>\n      <th>Marital Status</th>\n      <th>Number of Dependents</th>\n      <th>Education Level</th>\n      <th>Occupation</th>\n      <th>Health Score</th>\n      <th>Location</th>\n      <th>Policy Type</th>\n      <th>Previous Claims</th>\n      <th>Vehicle Age</th>\n      <th>Credit Score</th>\n      <th>Insurance Duration</th>\n      <th>Policy Start Date</th>\n      <th>Customer Feedback</th>\n      <th>Smoking Status</th>\n      <th>Exercise Frequency</th>\n      <th>Property Type</th>\n      <th>Premium Amount</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>19.0</td>\n      <td>0</td>\n      <td>10049.0</td>\n      <td>1</td>\n      <td>1.0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>22.598761</td>\n      <td>2</td>\n      <td>2</td>\n      <td>2.0</td>\n      <td>17.0</td>\n      <td>372.0</td>\n      <td>5.0</td>\n      <td>145522</td>\n      <td>2</td>\n      <td>0</td>\n      <td>3</td>\n      <td>2</td>\n      <td>2869.0</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>39.0</td>\n      <td>0</td>\n      <td>31678.0</td>\n      <td>0</td>\n      <td>3.0</td>\n      <td>2</td>\n      <td>3</td>\n      <td>15.569731</td>\n      <td>0</td>\n      <td>1</td>\n      <td>1.0</td>\n      <td>12.0</td>\n      <td>694.0</td>\n      <td>2.0</td>\n      <td>127832</td>\n      <td>0</td>\n      <td>1</td>\n      <td>1</td>\n      <td>2</td>\n      <td>1483.0</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>23.0</td>\n      <td>1</td>\n      <td>25602.0</td>\n      <td>0</td>\n      <td>3.0</td>\n      <td>1</td>\n      <td>1</td>\n      <td>47.177549</td>\n      <td>1</td>\n      <td>2</td>\n      <td>1.0</td>\n      <td>14.0</td>\n      <td>595.0</td>\n      <td>3.0</td>\n      <td>137880</td>\n      <td>1</td>\n      <td>1</td>\n      <td>3</td>\n      <td>2</td>\n      <td>567.0</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>21.0</td>\n      <td>1</td>\n      <td>141855.0</td>\n      <td>1</td>\n      <td>2.0</td>\n      <td>0</td>\n      <td>3</td>\n      <td>10.938144</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1.0</td>\n      <td>0.0</td>\n      <td>367.0</td>\n      <td>1.0</td>\n      <td>161517</td>\n      <td>2</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>765.0</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>21.0</td>\n      <td>1</td>\n      <td>39651.0</td>\n      <td>2</td>\n      <td>1.0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>20.376094</td>\n      <td>0</td>\n      <td>2</td>\n      <td>0.0</td>\n      <td>8.0</td>\n      <td>598.0</td>\n      <td>4.0</td>\n      <td>76621</td>\n      <td>2</td>\n      <td>1</td>\n      <td>3</td>\n      <td>2</td>\n      <td>2022.0</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}],"execution_count":60},{"cell_type":"code","source":"from sklearn.ensemble import StackingRegressor\nfrom sklearn.linear_model import RidgeCV\nfrom sklearn.tree import DecisionTreeRegressor\nfrom sklearn.ensemble import RandomForestRegressor\nfrom sklearn.pipeline import make_pipeline\nfrom sklearn.preprocessing import StandardScaler\n\n# Base models\nxgb_model = XGBRegressor(**best_params, tree_method=\"gpu_hist\", gpu_id=0)\nrf_model = RandomForestRegressor(n_estimators=100, random_state=42)\ndt_model = DecisionTreeRegressor(max_depth=5, random_state=42)\n\n# Meta-model\nmeta_model = RidgeCV(alphas=[1e-3, 1e-2, 1e-1, 1.0, 10.0])\n\n# Stacking Regressor\nstacking_regressor = StackingRegressor(\n    estimators=[\n        ('xgb', xgb_model),\n        ('rf', rf_model),\n        ('dt', dt_model)\n    ],\n    final_estimator=meta_model,\n    cv=5\n)\n\n# Train the stacking model\nstacking_regressor.fit(X_train, y_train)\n\n# Predict and evaluate\ny_pred_stacking = stacking_regressor.predict(X_val)\nmse_stacking = mean_squared_error(y_val, y_pred_stacking)\nrmse_stacking = np.sqrt(mse_stacking)\nr2_stacking = r2_score(y_val, y_pred_stacking)\n\nprint(f\"Stacking - Mean Squared Error: {mse_stacking}\")\nprint(f\"Stacking - Root Mean Squared Error: {rmse_stacking}\")\nprint(f\"Stacking - R² Score: {r2_stacking}\")\nprint(f\"Stacking - Root Mean Squared Log Error: {rmsle(y_val, y_pred_stacking)}\")\n\n# Residual plot for stacking\nresiduals_stacking = y_val - y_pred_stacking\nplt.scatter(y_val, residuals_stacking)\nplt.axhline(0, color='red', linestyle='--')\nplt.xlabel('Actual Values')\nplt.ylabel('Residuals')\nplt.title('Residual Plot - Stacking Model')\nplt.show()\n","metadata":{"trusted":true,"execution":{"execution_failed":"2024-12-26T05:02:27.112Z"}},"outputs":[],"execution_count":null},{"cell_type":"code","source":"","metadata":{"trusted":true},"outputs":[],"execution_count":null},{"cell_type":"code","source":"test_predictions = best_model.predict(test_copy1)","metadata":{"trusted":true,"execution":{"execution_failed":"2024-12-26T05:02:27.112Z"}},"outputs":[],"execution_count":null},{"cell_type":"code","source":"sub = pd.read_csv('/kaggle/input/playground-series-s4e12/sample_submission.csv')\nsub['Premium Amount'] = test_predictions\nprint(sub.info())\nsub.to_csv('submission.csv', index=False)\nsub.info()   ","metadata":{"trusted":true,"execution":{"execution_failed":"2024-12-26T05:02:27.112Z"}},"outputs":[],"execution_count":null},{"cell_type":"markdown","source":"XGBoost","metadata":{}}]}