{"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":"none","dataSources":[{"sourceId":84493,"databundleVersionId":9871156,"sourceType":"competition"}],"dockerImageVersionId":30786,"isInternetEnabled":true,"language":"python","sourceType":"notebook","isGpuEnabled":false}},"nbformat_minor":4,"nbformat":4,"cells":[{"cell_type":"code","source":"import pandas as pd\nimport numpy as np\nimport os\nfrom scipy.stats import gamma, lognorm, norm\nimport matplotlib.pyplot as plt\nimport seaborn as sns\n\nBASE_PATH = \"/kaggle/input/jane-street-real-time-market-data-forecasting/\"\ntrain1 = pd.read_parquet(BASE_PATH + 'train.parquet/partition_id=0/part-0.parquet')\ntrain2 = pd.read_parquet(BASE_PATH + 'train.parquet/partition_id=1/part-0.parquet')\ntrain3 = pd.read_parquet(BASE_PATH + 'train.parquet/partition_id=2/part-0.parquet')","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-10-19T14:32:05.06666Z","iopub.execute_input":"2024-10-19T14:32:05.067975Z","iopub.status.idle":"2024-10-19T14:32:25.38516Z","shell.execute_reply.started":"2024-10-19T14:32:05.06791Z","shell.execute_reply":"2024-10-19T14:32:25.383905Z"}},"outputs":[],"execution_count":3},{"cell_type":"code","source":"def list_files_recursive(base_path):\n    print('\\n# Files and file sizes')\n    for root, dirs, files in os.walk(base_path):\n        for file in files:\n            file_path = os.path.join(root, file)\n            size_mb = round(os.path.getsize(file_path) / 1000000, 2)\n            relative_path = os.path.relpath(file_path, base_path)\n            print(f'{relative_path.ljust(50)}| {size_mb} MB')\nlist_files_recursive(BASE_PATH)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-10-19T12:33:00.041118Z","iopub.execute_input":"2024-10-19T12:33:00.041532Z","iopub.status.idle":"2024-10-19T12:33:00.061071Z","shell.execute_reply.started":"2024-10-19T12:33:00.041474Z","shell.execute_reply":"2024-10-19T12:33:00.059554Z"},"jupyter":{"source_hidden":true}},"outputs":[{"name":"stdout","text":"\n# Files and file sizes\nresponders.csv                                    | 0.0 MB\nsample_submission.csv                             | 0.0 MB\nfeatures.csv                                      | 0.01 MB\ntrain.parquet/partition_id=4/part-0.parquet       | 1322.67 MB\ntrain.parquet/partition_id=5/part-0.parquet       | 1407.11 MB\ntrain.parquet/partition_id=6/part-0.parquet       | 1630.68 MB\ntrain.parquet/partition_id=3/part-0.parquet       | 1052.39 MB\ntrain.parquet/partition_id=1/part-0.parquet       | 712.05 MB\ntrain.parquet/partition_id=8/part-0.parquet       | 1608.26 MB\ntrain.parquet/partition_id=2/part-0.parquet       | 794.79 MB\ntrain.parquet/partition_id=0/part-0.parquet       | 470.34 MB\ntrain.parquet/partition_id=7/part-0.parquet       | 1661.82 MB\ntrain.parquet/partition_id=9/part-0.parquet       | 1639.59 MB\nlags.parquet/date_id=0/part-0.parquet             | 0.01 MB\ntest.parquet/date_id=0/part-0.parquet             | 0.03 MB\nkaggle_evaluation/jane_street_gateway.py          | 0.0 MB\nkaggle_evaluation/jane_street_inference_server.py | 0.0 MB\nkaggle_evaluation/__init__.py                     | 0.0 MB\nkaggle_evaluation/core/templates.py               | 0.01 MB\nkaggle_evaluation/core/base_gateway.py            | 0.01 MB\nkaggle_evaluation/core/relay.py                   | 0.02 MB\nkaggle_evaluation/core/kaggle_evaluation.proto    | 0.0 MB\nkaggle_evaluation/core/__init__.py                | 0.0 MB\nkaggle_evaluation/core/generated/kaggle_evaluation_pb2.py| 0.0 MB\nkaggle_evaluation/core/generated/kaggle_evaluation_pb2_grpc.py| 0.0 MB\nkaggle_evaluation/core/generated/__init__.py      | 0.0 MB\n","output_type":"stream"}],"execution_count":7},{"cell_type":"code","source":"l = [train1,train2,train3]\ntrain = pd.concat(l)\n#Je prends que deux paquets pour pas allonger le temps d'import","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-10-19T14:34:31.433307Z","iopub.execute_input":"2024-10-19T14:34:31.434119Z","iopub.status.idle":"2024-10-19T14:34:33.13578Z","shell.execute_reply.started":"2024-10-19T14:34:31.434054Z","shell.execute_reply":"2024-10-19T14:34:33.134566Z"}},"outputs":[],"execution_count":4},{"cell_type":"markdown","source":"# PRISE EN MAIN D'UN SAMPLE DU DATASET TRAIN","metadata":{}},{"cell_type":"code","source":"train.sample(10)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-10-19T14:34:34.717019Z","iopub.execute_input":"2024-10-19T14:34:34.717474Z","iopub.status.idle":"2024-10-19T14:34:35.142392Z","shell.execute_reply.started":"2024-10-19T14:34:34.717431Z","shell.execute_reply":"2024-10-19T14:34:35.141135Z"}},"outputs":[{"execution_count":5,"output_type":"execute_result","data":{"text/plain":"         date_id  time_id  symbol_id    weight  feature_00  feature_01  \\\n2229572      306       47         10  1.125201   -1.507765    2.011527   \n1649143      271      571          2  1.899446    0.049179   -0.774121   \n345373       360      616         16  1.724385   -0.674814   -0.821347   \n1390783      256       90         38  1.896841    0.491670   -1.527735   \n2640472      330      258         30  0.841278    0.008819    0.621909   \n1241399      414      602         10  1.110610    1.704258   -0.084497   \n624263       377      549          8  1.862252    1.250522   -1.823867   \n2790258      339      149         14  0.732698   -0.307569    0.714823   \n455596       367      340         30  0.709837   -0.684303   -0.509959   \n3028173      509      538         11  0.735121    1.365662   -0.304444   \n\n         feature_02  feature_03  feature_04  feature_05  ...  feature_78  \\\n2229572   -2.699575   -2.036883    1.366190   -0.970756  ...    0.072202   \n1649143    0.222665    0.479868   -0.624692    0.064097  ...    0.326967   \n345373    -0.467847   -0.377500   -1.891033   -3.061918  ...   -0.402968   \n1390783    0.846168    1.324845    0.510960    0.126596  ...    1.768432   \n2640472   -0.158371   -0.044071    1.300712    2.231195  ...   -0.034267   \n1241399    1.650613    1.896546    0.977586    0.266463  ...    0.484586   \n624263     1.520329    1.394881   -0.787484    1.510875  ...   -0.342876   \n2790258   -0.332740   -0.430245    0.435438    0.486247  ...    0.507512   \n455596    -0.733639   -0.402896   -0.372862   -0.153977  ...   -0.245379   \n3028173    1.249837    0.549884   -0.466259    1.058321  ...    0.309696   \n\n         responder_0  responder_1  responder_2  responder_3  responder_4  \\\n2229572    -0.206950    -0.063808    -0.049190    -0.892561     0.177372   \n1649143     0.505764    -0.323101     0.007705     0.505392     0.595802   \n345373     -0.403817    -0.012759    -0.402651    -0.237676    -0.788378   \n1390783    -0.427336    -0.456034     0.745986     0.143935    -0.062133   \n2640472     0.598590     0.689401     1.315117    -0.483747    -0.652414   \n1241399    -0.381308    -0.403604    -0.070536    -0.237710    -0.092396   \n624263     -0.018064    -0.496945    -0.778628     0.620633    -0.176322   \n2790258    -0.186874    -0.028488     0.186944    -0.628953    -0.644328   \n455596     -0.075802     0.659690    -0.137135    -0.142887     1.436968   \n3028173     0.884739     0.173101     0.294592     0.618006     0.793936   \n\n         responder_5  responder_6  responder_7  responder_8  \n2229572    -0.163323    -0.402965     0.353733    -0.125305  \n1649143    -0.170478     0.343427     0.797344    -0.332108  \n345373      0.485726    -0.004350    -1.030566     1.292112  \n1390783    -0.173011     0.356079     0.228295    -0.744254  \n2640472    -1.188556    -0.902086    -2.784389    -2.527146  \n1241399    -0.073338    -0.084260     0.076793    -0.044565  \n624263     -0.271614     0.833911     0.043493     0.262850  \n2790258    -0.071672    -0.599418    -0.815206    -0.432993  \n455596      0.000296    -0.187121    -0.191424     0.086080  \n3028173     0.327760    -0.061035     1.003195     0.529952  \n\n[10 rows x 92 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>date_id</th>\n      <th>time_id</th>\n      <th>symbol_id</th>\n      <th>weight</th>\n      <th>feature_00</th>\n      <th>feature_01</th>\n      <th>feature_02</th>\n      <th>feature_03</th>\n      <th>feature_04</th>\n      <th>feature_05</th>\n      <th>...</th>\n      <th>feature_78</th>\n      <th>responder_0</th>\n      <th>responder_1</th>\n      <th>responder_2</th>\n      <th>responder_3</th>\n      <th>responder_4</th>\n      <th>responder_5</th>\n      <th>responder_6</th>\n      <th>responder_7</th>\n      <th>responder_8</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>2229572</th>\n      <td>306</td>\n      <td>47</td>\n      <td>10</td>\n      <td>1.125201</td>\n      <td>-1.507765</td>\n      <td>2.011527</td>\n      <td>-2.699575</td>\n      <td>-2.036883</td>\n      <td>1.366190</td>\n      <td>-0.970756</td>\n      <td>...</td>\n      <td>0.072202</td>\n      <td>-0.206950</td>\n      <td>-0.063808</td>\n      <td>-0.049190</td>\n      <td>-0.892561</td>\n      <td>0.177372</td>\n      <td>-0.163323</td>\n      <td>-0.402965</td>\n      <td>0.353733</td>\n      <td>-0.125305</td>\n    </tr>\n    <tr>\n      <th>1649143</th>\n      <td>271</td>\n      <td>571</td>\n      <td>2</td>\n      <td>1.899446</td>\n      <td>0.049179</td>\n      <td>-0.774121</td>\n      <td>0.222665</td>\n      <td>0.479868</td>\n      <td>-0.624692</td>\n      <td>0.064097</td>\n      <td>...</td>\n      <td>0.326967</td>\n      <td>0.505764</td>\n      <td>-0.323101</td>\n      <td>0.007705</td>\n      <td>0.505392</td>\n      <td>0.595802</td>\n      <td>-0.170478</td>\n      <td>0.343427</td>\n      <td>0.797344</td>\n      <td>-0.332108</td>\n    </tr>\n    <tr>\n      <th>345373</th>\n      <td>360</td>\n      <td>616</td>\n      <td>16</td>\n      <td>1.724385</td>\n      <td>-0.674814</td>\n      <td>-0.821347</td>\n      <td>-0.467847</td>\n      <td>-0.377500</td>\n      <td>-1.891033</td>\n      <td>-3.061918</td>\n      <td>...</td>\n      <td>-0.402968</td>\n      <td>-0.403817</td>\n      <td>-0.012759</td>\n      <td>-0.402651</td>\n      <td>-0.237676</td>\n      <td>-0.788378</td>\n      <td>0.485726</td>\n      <td>-0.004350</td>\n      <td>-1.030566</td>\n      <td>1.292112</td>\n    </tr>\n    <tr>\n      <th>1390783</th>\n      <td>256</td>\n      <td>90</td>\n      <td>38</td>\n      <td>1.896841</td>\n      <td>0.491670</td>\n      <td>-1.527735</td>\n      <td>0.846168</td>\n      <td>1.324845</td>\n      <td>0.510960</td>\n      <td>0.126596</td>\n      <td>...</td>\n      <td>1.768432</td>\n      <td>-0.427336</td>\n      <td>-0.456034</td>\n      <td>0.745986</td>\n      <td>0.143935</td>\n      <td>-0.062133</td>\n      <td>-0.173011</td>\n      <td>0.356079</td>\n      <td>0.228295</td>\n      <td>-0.744254</td>\n    </tr>\n    <tr>\n      <th>2640472</th>\n      <td>330</td>\n      <td>258</td>\n      <td>30</td>\n      <td>0.841278</td>\n      <td>0.008819</td>\n      <td>0.621909</td>\n      <td>-0.158371</td>\n      <td>-0.044071</td>\n      <td>1.300712</td>\n      <td>2.231195</td>\n      <td>...</td>\n      <td>-0.034267</td>\n      <td>0.598590</td>\n      <td>0.689401</td>\n      <td>1.315117</td>\n      <td>-0.483747</td>\n      <td>-0.652414</td>\n      <td>-1.188556</td>\n      <td>-0.902086</td>\n      <td>-2.784389</td>\n      <td>-2.527146</td>\n    </tr>\n    <tr>\n      <th>1241399</th>\n      <td>414</td>\n      <td>602</td>\n      <td>10</td>\n      <td>1.110610</td>\n      <td>1.704258</td>\n      <td>-0.084497</td>\n      <td>1.650613</td>\n      <td>1.896546</td>\n      <td>0.977586</td>\n      <td>0.266463</td>\n      <td>...</td>\n      <td>0.484586</td>\n      <td>-0.381308</td>\n      <td>-0.403604</td>\n      <td>-0.070536</td>\n      <td>-0.237710</td>\n      <td>-0.092396</td>\n      <td>-0.073338</td>\n      <td>-0.084260</td>\n      <td>0.076793</td>\n      <td>-0.044565</td>\n    </tr>\n    <tr>\n      <th>624263</th>\n      <td>377</td>\n      <td>549</td>\n      <td>8</td>\n      <td>1.862252</td>\n      <td>1.250522</td>\n      <td>-1.823867</td>\n      <td>1.520329</td>\n      <td>1.394881</td>\n      <td>-0.787484</td>\n      <td>1.510875</td>\n      <td>...</td>\n      <td>-0.342876</td>\n      <td>-0.018064</td>\n      <td>-0.496945</td>\n      <td>-0.778628</td>\n      <td>0.620633</td>\n      <td>-0.176322</td>\n      <td>-0.271614</td>\n      <td>0.833911</td>\n      <td>0.043493</td>\n      <td>0.262850</td>\n    </tr>\n    <tr>\n      <th>2790258</th>\n      <td>339</td>\n      <td>149</td>\n      <td>14</td>\n      <td>0.732698</td>\n      <td>-0.307569</td>\n      <td>0.714823</td>\n      <td>-0.332740</td>\n      <td>-0.430245</td>\n      <td>0.435438</td>\n      <td>0.486247</td>\n      <td>...</td>\n      <td>0.507512</td>\n      <td>-0.186874</td>\n      <td>-0.028488</td>\n      <td>0.186944</td>\n      <td>-0.628953</td>\n      <td>-0.644328</td>\n      <td>-0.071672</td>\n      <td>-0.599418</td>\n      <td>-0.815206</td>\n      <td>-0.432993</td>\n    </tr>\n    <tr>\n      <th>455596</th>\n      <td>367</td>\n      <td>340</td>\n      <td>30</td>\n      <td>0.709837</td>\n      <td>-0.684303</td>\n      <td>-0.509959</td>\n      <td>-0.733639</td>\n      <td>-0.402896</td>\n      <td>-0.372862</td>\n      <td>-0.153977</td>\n      <td>...</td>\n      <td>-0.245379</td>\n      <td>-0.075802</td>\n      <td>0.659690</td>\n      <td>-0.137135</td>\n      <td>-0.142887</td>\n      <td>1.436968</td>\n      <td>0.000296</td>\n      <td>-0.187121</td>\n      <td>-0.191424</td>\n      <td>0.086080</td>\n    </tr>\n    <tr>\n      <th>3028173</th>\n      <td>509</td>\n      <td>538</td>\n      <td>11</td>\n      <td>0.735121</td>\n      <td>1.365662</td>\n      <td>-0.304444</td>\n      <td>1.249837</td>\n      <td>0.549884</td>\n      <td>-0.466259</td>\n      <td>1.058321</td>\n      <td>...</td>\n      <td>0.309696</td>\n      <td>0.884739</td>\n      <td>0.173101</td>\n      <td>0.294592</td>\n      <td>0.618006</td>\n      <td>0.793936</td>\n      <td>0.327760</td>\n      <td>-0.061035</td>\n      <td>1.003195</td>\n      <td>0.529952</td>\n    </tr>\n  </tbody>\n</table>\n<p>10 rows × 92 columns</p>\n</div>"},"metadata":{}}],"execution_count":5},{"cell_type":"code","source":"train.describe()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-10-19T14:34:38.057187Z","iopub.execute_input":"2024-10-19T14:34:38.057626Z","iopub.status.idle":"2024-10-19T14:35:06.195875Z","shell.execute_reply.started":"2024-10-19T14:34:38.057585Z","shell.execute_reply":"2024-10-19T14:35:06.194696Z"}},"outputs":[{"execution_count":6,"output_type":"execute_result","data":{"text/plain":"            date_id       time_id     symbol_id        weight    feature_00  \\\ncount  7.785330e+06  7.785330e+06  7.785330e+06  7.785330e+06  4.603278e+06   \nmean   2.829845e+02  4.240000e+02  1.460938e+01  1.834828e+00  3.984682e-01   \nstd    1.412934e+02  2.450850e+02  1.103869e+01  1.039053e+00  1.134113e+00   \nmin    0.000000e+00  0.000000e+00  0.000000e+00  2.828084e-01 -4.156833e+00   \n25%    1.700000e+02  2.120000e+02  7.000000e+00  1.102603e+00 -3.759366e-01   \n50%    2.890000e+02  4.240000e+02  1.200000e+01  1.614752e+00  4.186588e-01   \n75%    4.050000e+02  6.360000e+02  1.900000e+01  2.223664e+00  1.273689e+00   \nmax    5.090000e+02  8.480000e+02  3.800000e+01  8.109553e+00  4.194370e+00   \n\n         feature_01    feature_02    feature_03    feature_04    feature_05  \\\ncount  4.603278e+06  4.603278e+06  4.603278e+06  4.603278e+06  7.785330e+06   \nmean   7.931650e-03  4.013595e-01  4.003044e-01 -1.332048e-02  1.082425e-02   \nstd    9.354421e-01  1.135869e+00  1.134982e+00  9.407164e-01  1.031336e+00   \nmin   -5.741592e+00 -3.636927e+00 -3.943468e+00 -4.047347e+00 -2.042582e+01   \n25%   -6.010731e-01 -3.704467e-01 -3.721927e-01 -6.445930e-01 -4.668448e-01   \n50%   -2.334246e-02  4.209384e-01  4.198914e-01 -1.839081e-02 -2.732333e-02   \n75%    5.939859e-01  1.275178e+00  1.274124e+00  6.106164e-01  4.278495e-01   \nmax    4.326710e+00  4.180225e+00  4.145897e+00  4.115089e+00  3.218666e+01   \n\n       ...    feature_78   responder_0   responder_1   responder_2  \\\ncount  ...  7.785330e+06  7.785330e+06  7.785330e+06  7.785330e+06   \nmean   ... -2.224934e-02  4.600408e-03  9.786365e-03  1.251742e-03   \nstd    ...  8.534587e-01  8.425733e-01  9.232667e-01  8.289908e-01   \nmin    ... -4.035309e+00 -5.000000e+00 -5.000000e+00 -5.000000e+00   \n25%    ... -3.098256e-01 -2.567239e-01 -2.365917e-01 -2.075254e-01   \n50%    ... -2.104944e-01 -4.384464e-03 -2.315958e-02 -1.137240e-03   \n75%    ...  2.418050e-02  2.518381e-01  2.130626e-01  2.072647e-01   \nmax    ...  1.332677e+02  5.000000e+00  5.000000e+00  5.000000e+00   \n\n        responder_3   responder_4   responder_5   responder_6   responder_7  \\\ncount  7.785330e+06  7.785330e+06  7.785330e+06  7.785330e+06  7.785330e+06   \nmean  -1.041436e-03 -7.183269e-05 -2.104255e-03 -5.291299e-03 -1.013171e-02   \nstd    9.848984e-01  1.067684e+00  9.028447e-01  9.089823e-01  9.455646e-01   \nmin   -5.000000e+00 -5.000000e+00 -5.000000e+00 -5.000000e+00 -5.000000e+00   \n25%   -3.827674e-01 -4.660800e-01 -2.575581e-01 -4.036915e-01 -4.427102e-01   \n50%   -1.634539e-02 -2.846717e-02 -5.944371e-03 -1.619121e-02 -2.780477e-02   \n75%    3.545422e-01  4.268570e-01  2.427943e-01  3.697866e-01  3.852295e-01   \nmax    5.000000e+00  5.000000e+00  5.000000e+00  5.000000e+00  5.000000e+00   \n\n        responder_8  \ncount  7.785330e+06  \nmean  -2.383049e-03  \nstd    9.040542e-01  \nmin   -5.000000e+00  \n25%   -3.463307e-01  \n50%   -3.586300e-03  \n75%    3.342818e-01  \nmax    5.000000e+00  \n\n[8 rows x 92 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>date_id</th>\n      <th>time_id</th>\n      <th>symbol_id</th>\n      <th>weight</th>\n      <th>feature_00</th>\n      <th>feature_01</th>\n      <th>feature_02</th>\n      <th>feature_03</th>\n      <th>feature_04</th>\n      <th>feature_05</th>\n      <th>...</th>\n      <th>feature_78</th>\n      <th>responder_0</th>\n      <th>responder_1</th>\n      <th>responder_2</th>\n      <th>responder_3</th>\n      <th>responder_4</th>\n      <th>responder_5</th>\n      <th>responder_6</th>\n      <th>responder_7</th>\n      <th>responder_8</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>count</th>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n      <td>4.603278e+06</td>\n      <td>4.603278e+06</td>\n      <td>4.603278e+06</td>\n      <td>4.603278e+06</td>\n      <td>4.603278e+06</td>\n      <td>7.785330e+06</td>\n      <td>...</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n    </tr>\n    <tr>\n      <th>mean</th>\n      <td>2.829845e+02</td>\n      <td>4.240000e+02</td>\n      <td>1.460938e+01</td>\n      <td>1.834828e+00</td>\n      <td>3.984682e-01</td>\n      <td>7.931650e-03</td>\n      <td>4.013595e-01</td>\n      <td>4.003044e-01</td>\n      <td>-1.332048e-02</td>\n      <td>1.082425e-02</td>\n      <td>...</td>\n      <td>-2.224934e-02</td>\n      <td>4.600408e-03</td>\n      <td>9.786365e-03</td>\n      <td>1.251742e-03</td>\n      <td>-1.041436e-03</td>\n      <td>-7.183269e-05</td>\n      <td>-2.104255e-03</td>\n      <td>-5.291299e-03</td>\n      <td>-1.013171e-02</td>\n      <td>-2.383049e-03</td>\n    </tr>\n    <tr>\n      <th>std</th>\n      <td>1.412934e+02</td>\n      <td>2.450850e+02</td>\n      <td>1.103869e+01</td>\n      <td>1.039053e+00</td>\n      <td>1.134113e+00</td>\n      <td>9.354421e-01</td>\n      <td>1.135869e+00</td>\n      <td>1.134982e+00</td>\n      <td>9.407164e-01</td>\n      <td>1.031336e+00</td>\n      <td>...</td>\n      <td>8.534587e-01</td>\n      <td>8.425733e-01</td>\n      <td>9.232667e-01</td>\n      <td>8.289908e-01</td>\n      <td>9.848984e-01</td>\n      <td>1.067684e+00</td>\n      <td>9.028447e-01</td>\n      <td>9.089823e-01</td>\n      <td>9.455646e-01</td>\n      <td>9.040542e-01</td>\n    </tr>\n    <tr>\n      <th>min</th>\n      <td>0.000000e+00</td>\n      <td>0.000000e+00</td>\n      <td>0.000000e+00</td>\n      <td>2.828084e-01</td>\n      <td>-4.156833e+00</td>\n      <td>-5.741592e+00</td>\n      <td>-3.636927e+00</td>\n      <td>-3.943468e+00</td>\n      <td>-4.047347e+00</td>\n      <td>-2.042582e+01</td>\n      <td>...</td>\n      <td>-4.035309e+00</td>\n      <td>-5.000000e+00</td>\n      <td>-5.000000e+00</td>\n      <td>-5.000000e+00</td>\n      <td>-5.000000e+00</td>\n      <td>-5.000000e+00</td>\n      <td>-5.000000e+00</td>\n      <td>-5.000000e+00</td>\n      <td>-5.000000e+00</td>\n      <td>-5.000000e+00</td>\n    </tr>\n    <tr>\n      <th>25%</th>\n      <td>1.700000e+02</td>\n      <td>2.120000e+02</td>\n      <td>7.000000e+00</td>\n      <td>1.102603e+00</td>\n      <td>-3.759366e-01</td>\n      <td>-6.010731e-01</td>\n      <td>-3.704467e-01</td>\n      <td>-3.721927e-01</td>\n      <td>-6.445930e-01</td>\n      <td>-4.668448e-01</td>\n      <td>...</td>\n      <td>-3.098256e-01</td>\n      <td>-2.567239e-01</td>\n      <td>-2.365917e-01</td>\n      <td>-2.075254e-01</td>\n      <td>-3.827674e-01</td>\n      <td>-4.660800e-01</td>\n      <td>-2.575581e-01</td>\n      <td>-4.036915e-01</td>\n      <td>-4.427102e-01</td>\n      <td>-3.463307e-01</td>\n    </tr>\n    <tr>\n      <th>50%</th>\n      <td>2.890000e+02</td>\n      <td>4.240000e+02</td>\n      <td>1.200000e+01</td>\n      <td>1.614752e+00</td>\n      <td>4.186588e-01</td>\n      <td>-2.334246e-02</td>\n      <td>4.209384e-01</td>\n      <td>4.198914e-01</td>\n      <td>-1.839081e-02</td>\n      <td>-2.732333e-02</td>\n      <td>...</td>\n      <td>-2.104944e-01</td>\n      <td>-4.384464e-03</td>\n      <td>-2.315958e-02</td>\n      <td>-1.137240e-03</td>\n      <td>-1.634539e-02</td>\n      <td>-2.846717e-02</td>\n      <td>-5.944371e-03</td>\n      <td>-1.619121e-02</td>\n      <td>-2.780477e-02</td>\n      <td>-3.586300e-03</td>\n    </tr>\n    <tr>\n      <th>75%</th>\n      <td>4.050000e+02</td>\n      <td>6.360000e+02</td>\n      <td>1.900000e+01</td>\n      <td>2.223664e+00</td>\n      <td>1.273689e+00</td>\n      <td>5.939859e-01</td>\n      <td>1.275178e+00</td>\n      <td>1.274124e+00</td>\n      <td>6.106164e-01</td>\n      <td>4.278495e-01</td>\n      <td>...</td>\n      <td>2.418050e-02</td>\n      <td>2.518381e-01</td>\n      <td>2.130626e-01</td>\n      <td>2.072647e-01</td>\n      <td>3.545422e-01</td>\n      <td>4.268570e-01</td>\n      <td>2.427943e-01</td>\n      <td>3.697866e-01</td>\n      <td>3.852295e-01</td>\n      <td>3.342818e-01</td>\n    </tr>\n    <tr>\n      <th>max</th>\n      <td>5.090000e+02</td>\n      <td>8.480000e+02</td>\n      <td>3.800000e+01</td>\n      <td>8.109553e+00</td>\n      <td>4.194370e+00</td>\n      <td>4.326710e+00</td>\n      <td>4.180225e+00</td>\n      <td>4.145897e+00</td>\n      <td>4.115089e+00</td>\n      <td>3.218666e+01</td>\n      <td>...</td>\n      <td>1.332677e+02</td>\n      <td>5.000000e+00</td>\n      <td>5.000000e+00</td>\n      <td>5.000000e+00</td>\n      <td>5.000000e+00</td>\n      <td>5.000000e+00</td>\n      <td>5.000000e+00</td>\n      <td>5.000000e+00</td>\n      <td>5.000000e+00</td>\n      <td>5.000000e+00</td>\n    </tr>\n  </tbody>\n</table>\n<p>8 rows × 92 columns</p>\n</div>"},"metadata":{}}],"execution_count":6},{"cell_type":"markdown","source":" ## Distribution et analyse de weight et responder_6","metadata":{}},{"cell_type":"code","source":"train['responder_6'].plot(kind=\"hist\", bins=100);","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-10-19T14:38:25.764198Z","iopub.execute_input":"2024-10-19T14:38:25.764637Z","iopub.status.idle":"2024-10-19T14:38:27.275443Z","shell.execute_reply.started":"2024-10-19T14:38:25.764596Z","shell.execute_reply":"2024-10-19T14:38:27.274258Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 640x480 with 1 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"},"metadata":{}}],"execution_count":17},{"cell_type":"code","source":"hist_w = train['weight'].plot(kind=\"hist\", bins=100, density = True);","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-10-19T14:38:23.006838Z","iopub.execute_input":"2024-10-19T14:38:23.007733Z","iopub.status.idle":"2024-10-19T14:38:24.099457Z","shell.execute_reply.started":"2024-10-19T14:38:23.007652Z","shell.execute_reply":"2024-10-19T14:38:24.098233Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 640x480 with 1 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"},"metadata":{}}],"execution_count":16},{"cell_type":"code","source":"shape, loc, scale = gamma.fit(train['weight'])\nprint(f\"shape (k) = {shape}\")\nprint(f\"loc (min) = {loc}\")\nprint(f\"scale (θ) = {scale}\")","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-10-19T13:18:56.082551Z","iopub.execute_input":"2024-10-19T13:18:56.082992Z","iopub.status.idle":"2024-10-19T13:19:23.783073Z","shell.execute_reply.started":"2024-10-19T13:18:56.08295Z","shell.execute_reply":"2024-10-19T13:19:23.781862Z"}},"outputs":[{"name":"stdout","text":"shape (k) = 2.1803463105831824\nloc (min) = 0.43540540052729826\nscale (θ) = 0.6764228642151037\n","output_type":"stream"}],"execution_count":87},{"cell_type":"markdown","source":"On peut reconnaitre la densité d'une loi gamma, dont on trouve les paramètres grace à scipy.\n![image.png](attachment:d2903165-132d-40ed-be0c-e56a0c7d6c2a.png)","metadata":{},"attachments":{"4b7b9507-e796-436d-a135-46f757a57759.png":{"image/png":"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"},"d2903165-132d-40ed-be0c-e56a0c7d6c2a.png":{"image/png":"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bins=100, density=True, color='skyblue')\n\n# Générer les valeurs pour la densité théorique (Gamma) ajustée\nx = np.linspace(0, 6, 1000)\npdf_fitted = gamma.pdf(x, a=shape, loc=loc, scale=scale)  # Densité théorique ajustée\n\n# Superposer la densité théorique\nplt.plot(x, pdf_fitted, 'r-', lw=2, label=\"Densité théorique (Gamma)\")\n\n# Ajouter les titres et légendes\nplt.title(\"Histogramme des poids avec la densité Gamma ajustée\")\nplt.xlabel(\"Weight\")\nplt.ylabel(\"Densité\")\nplt.legend()\n\n# Afficher le graphique\nplt.show()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-10-19T13:19:29.825856Z","iopub.execute_input":"2024-10-19T13:19:29.826304Z","iopub.status.idle":"2024-10-19T13:19:30.6791Z","shell.execute_reply.started":"2024-10-19T13:19:29.826261Z","shell.execute_reply":"2024-10-19T13:19:30.677847Z"},"_kg_hide-input":false},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 640x480 with 1 Axes>","image/png":"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"},"metadata":{}}],"execution_count":88},{"cell_type":"markdown","source":"Mais aussi celle d'une lognormal de densité ![image.png](attachment:ef6ee1ec-464c-46b4-add3-2c169ece43eb.png)","metadata":{},"attachments":{"ef6ee1ec-464c-46b4-add3-2c169ece43eb.png":{"image/png":"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"}}},{"cell_type":"code","source":"shape, loc, scale = lognorm.fit(train['weight'])\nmu = np.log(scale)\nsigma = shape\nprint(f\"mu  = {mu}\")\nprint(f\"sigma  = {sigma}\")","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-10-19T13:19:42.023607Z","iopub.execute_input":"2024-10-19T13:19:42.02406Z","iopub.status.idle":"2024-10-19T13:19:43.954185Z","shell.execute_reply.started":"2024-10-19T13:19:42.024017Z","shell.execute_reply":"2024-10-19T13:19:43.953113Z"}},"outputs":[{"name":"stdout","text":"mu  = 0.40581193566322327\nsigma  = 0.5607782602310181\n","output_type":"stream"}],"execution_count":90},{"cell_type":"code","source":"train['weight'].plot(kind=\"hist\", bins=80, density=True, color='skyblue')\n\n# Générer les valeurs pour la densité théorique (Gamma) ajustée\nx = np.linspace(0, 6, 1000)\npdf_fitted = lognorm.pdf(x, shape, loc=loc, scale=scale)  # Densité théorique ajustée\n\n# Superposer la densité théorique\nplt.plot(x, pdf_fitted, 'r-', lw=2, label=\"Densité théorique (Lognormale)\")\n\n# Ajouter les titres et légendes\nplt.title(\"Histogramme des poids avec la densité lognormale ajustée\")\nplt.xlabel(\"Weight\")\nplt.ylabel(\"Densité\")\nplt.legend()\n\n# Afficher le graphique\nplt.show()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-10-19T13:19:48.383248Z","iopub.execute_input":"2024-10-19T13:19:48.383707Z","iopub.status.idle":"2024-10-19T13:19:49.130296Z","shell.execute_reply.started":"2024-10-19T13:19:48.383653Z","shell.execute_reply":"2024-10-19T13:19:49.128998Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 640x480 with 1 Axes>","image/png":"iVBORw0KGgoAAAANSUhEUgAAAjcAAAHHCAYAAABDUnkqAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuNSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/xnp5ZAAAACXBIWXMAAA9hAAAPYQGoP6dpAAB7rklEQVR4nO3dd1hTd9sH8G/YeyhLFARxL1TcC1AUZ91aa0Ww2tbRaq19qrWuVou21Wp9Wlcfta+1Vds6WvcouCeKWgcqslSmIFuQ5Lx/RAIR0ACBQ5Lv57pycXJyxn2ScLj5TYkgCAKIiIiItISe2AEQERERqROTGyIiItIqTG6IiIhIqzC5ISIiIq3C5IaIiIi0CpMbIiIi0ipMboiIiEirMLkhIiIircLkhohIx/31119Yvnw5nj9/LnYopOWq67vG5Kac3NzcEBgYKHYYVAGLFi2CRCIRO4xKk0gkWLRo0Wu305brrYjQ0FBIJBKEhoZW6Xm2bNkCiUSC6OjoKj3P61Tmei9fvow333wTDRs2hKGh4Wu3DwwMhJubW/mDJPj4+MDHx6faz1tT7gXl/a5Vhk4nN4U3psuXL5f6uo+PD1q2bFnp8xw4cEClP0ZEROry66+/YtWqVa/c5unTpxg9ejSWLVuGESNGVE9gpHVq4ndNp5ObioiIiMDGjRvLtc+BAwewePHiKoqIdE1ubi4+//xzscOgGqRnz57Izc1Fz549FetU+YMTHh6Ozz//HB9++GEVR0hi+vzzz5Gbm1tlx6+J3zWDajmLFjE2NhY7hHLLzs6Gubm52GGQmpiYmIgdAtUwenp6FfpeiFVNUhMIgoBnz57B1NRU7FCqnIGBAQwMxP1zX93fNZbclNPLbW6eP3+OxYsXo1GjRjAxMUHt2rXRvXt3HD16FIC8fvqHH34AIG8rUfgolJ2djY8//hguLi4wNjZGkyZN8O233+Llydpzc3Px4Ycfws7ODpaWlnjjjTfw6NGjEu0vCutWb926hbfeegu2trbo3r07AOD69esIDAxEgwYNYGJiAicnJ0ycOBFPnjxROlfhMe7evYu3334b1tbWsLe3x/z58yEIAuLi4jBkyBBYWVnByckJK1asUNq/sP5/586dWLx4MerWrQtLS0uMHDkS6enpyMvLw8yZM+Hg4AALCwsEBQUhLy+vxHv9yy+/wMvLC6ampqhVqxbefPNNxMXFqfQ5nT59Gh06dICJiQk8PDywfv36MrdV5Tz37t3DiBEj4OTkBBMTE9SrVw9vvvkm0tPTXxlHYdVmWFgYunbtClNTU7i7u2PdunUltk1KSsI777wDR0dHmJiYwNPTEz///HOJ7Uprc6Pq9R49ehTdu3eHjY0NLCws0KRJE3z22WevvAYA2Lx5M3r16gUHBwcYGxujefPmWLt2rdI2gwYNQoMGDUrdv0uXLmjfvr3SOlU/3wsXLmDAgAGwtbWFubk5WrdujdWrV7825pedOnUKo0aNgqurK4yNjeHi4oKPPvpI5f9ob968iV69esHU1BT16tXDkiVLIJPJSt324MGD6NGjB8zNzWFpaYmBAwfi5s2bStsEBgbCwsICjx49wtChQ2FhYQF7e3vMnj0bUqlUadvt27fDy8sLlpaWsLKyQqtWrZTeg5fb3Pj4+GD//v2IiYlR3HOKt5PJy8vDwoUL0bBhQ8V78Z///KfU30NVVNV97P79+wgMDISNjQ2sra0RFBSEnJwcpWMWFBTgyy+/hIeHB4yNjeHm5obPPvusxLW4ublh0KBBOHz4MNq3bw9TU1OsX79eLfcrVX4/ylKZz0LV7/TLbW6io6MhkUiwZcuWEsd8+bPIzMzEzJkz4ebmBmNjYzg4OKBPnz64cuUKAPV+1ypzz38ZS24ApKenIyUlpcR6VVpzL1q0CMHBwZg0aRI6duyIjIwMXL58GVeuXEGfPn3w3nvv4fHjxzh69Ci2bt2qtK8gCHjjjTcQEhKCd955B23atMHhw4fxySef4NGjR/juu+8U2wYGBmLnzp0YP348OnfujBMnTmDgwIFlxjVq1Cg0atQIX331leIGc/ToUTx48ABBQUFwcnLCzZs3sWHDBty8eRPnz58v0eBszJgxaNasGZYtW4b9+/djyZIlqFWrFtavX49evXph+fLl2LZtG2bPno0OHTooFYkDQHBwMExNTTFnzhzcv38fa9asgaGhIfT09JCWloZFixbh/Pnz2LJlC9zd3bFgwQLFvkuXLsX8+fMxevRoTJo0CcnJyVizZg169uyJq1evwsbGpsxrv3HjBvr27Qt7e3ssWrQIBQUFWLhwIRwdHUtsq8p58vPz4e/vj7y8PHzwwQdwcnLCo0ePsG/fPjx9+hTW1tZlxgIAaWlpGDBgAEaPHo2xY8di586dmDJlCoyMjDBx4kQA8pu+j48P7t+/j+nTp8Pd3R2///47AgMD8fTpU8yYMaPS13vz5k0MGjQIrVu3xhdffAFjY2Pcv38fZ86ceWX8ALB27Vq0aNECb7zxBgwMDPD3339j6tSpkMlkmDZtGgD59yUgIACXLl1Chw4dFPvGxMTg/Pnz+Oabb8r1vgPy7+ygQYNQp04dzJgxA05OTrh9+zb27dv3yvekNL///jtycnIwZcoU1K5dGxcvXsSaNWvw8OFD/P7776/cNyEhAb6+vigoKMCcOXNgbm6ODRs2lPpf/9atWzFhwgT4+/tj+fLlyMnJwdq1a9G9e3dcvXpV6cYvlUrh7++PTp064dtvv8WxY8ewYsUKeHh4YMqUKYr3YOzYsejduzeWL18OALh9+zbOnDlT5nswb948pKen4+HDh4r7iIWFBQBAJpPhjTfewOnTp/Huu++iWbNmuHHjBr777jvcvXsXe/bsKdf7WpX3sdGjR8Pd3R3BwcG4cuUKfvrpJzg4OCjeBwCYNGkSfv75Z4wcORIff/wxLly4gODgYNy+fRu7d+9WOl5ERATGjh2L9957D5MnT0aTJk0Ur1XmfqXK70dpKvtZVOY7rar3338ff/zxB6ZPn47mzZvjyZMnOH36NG7fvo127dqp7btWmXt+qQQdtnnzZgHAKx8tWrRQ2qd+/frChAkTFM89PT2FgQMHvvI806ZNE0p7q/fs2SMAEJYsWaK0fuTIkYJEIhHu378vCIIghIWFCQCEmTNnKm0XGBgoABAWLlyoWLdw4UIBgDB27NgS58vJySmx7rfffhMACCdPnixxjHfffVexrqCgQKhXr54gkUiEZcuWKdanpaUJpqamSu9JSEiIAEBo2bKlkJ+fr1g/duxYQSKRCP3791eKoUuXLkL9+vUVz6OjowV9fX1h6dKlStvduHFDMDAwKLH+ZUOHDhVMTEyEmJgYxbpbt24J+vr6Sp+Dque5evWqAED4/fffX3ne0nh7ewsAhBUrVijW5eXlCW3atBEcHBwU78+qVasEAMIvv/yi2C4/P1/o0qWLYGFhIWRkZCjWv/yZq3q93333nQBASE5OLvd1lPbd8ff3Fxo0aKB4np6eLhgbGwsff/yx0nZff/21IJFIFPGp+r4XFBQI7u7uQv369YW0tDSlbWUy2SvjLfwOhoSEvPIagoODlWIry8yZMwUAwoULFxTrkpKSBGtrawGAEBUVJQiCIGRmZgo2NjbC5MmTlfZPSEgQrK2tldZPmDBBACB88cUXStu2bdtW8PLyUjyfMWOGYGVlJRQUFJTregcOHKj0e1Vo69atgp6ennDq1Cml9evWrRMACGfOnCnzPIVxFz9uVd7HJk6cqLTtsGHDhNq1ayueh4eHCwCESZMmKW03e/ZsAYDwzz//KNbVr19fACAcOnRIadvK3q8EQbXfD0GQ3w+8vb0Vzyv7Waj6nS58PwtFRUUJAITNmzeX2P/lz8La2lqYNm3aK+Oo7Hetsvf80rBaCsAPP/yAo0ePlni0bt36tfva2Njg5s2buHfvXrnPe+DAAejr65doYPXxxx9DEAQcPHgQAHDo0CEAwNSpU5W2++CDD8o89vvvv19iXfH/Mp89e4aUlBR07twZABRFjMVNmjRJsayvr4/27dtDEAS88847ivU2NjZo0qQJHjx4UGL/gIAApe5+nTp1giAIitKK4uvj4uJQUFAAANi1axdkMhlGjx6NlJQUxcPJyQmNGjVCSEhImdctlUpx+PBhDB06FK6uror1zZo1g7+/v9K2qp6nsGTm8OHDJYrEVWFgYID33ntP8dzIyAjvvfcekpKSEBYWBkD+XXBycsLYsWMV2xkaGuLDDz9EVlYWTpw4UenrLfzPZ+/evWVWp5Sl+HensKTT29sbDx48UFTNWVlZoX///ti5c6dSdcSOHTvQuXNnRXyqvu9Xr15FVFQUZs6cWeK/top0ay1+DdnZ2UhJSUHXrl0hCAKuXr36yn0PHDiAzp07o2PHjop19vb2GDdunNJ2R48exdOnTzF27Fila9PX10enTp1K/e6+/Lvao0cPpd8nGxsbZGdnK6q6K+v3339Hs2bN0LRpU6UYe/XqBQCv/P0qTXXex3r06IEnT54gIyNDcW4AmDVrVolzA8D+/fuV1ru7u5f4vShU0fsVoNrvR2kq+1lU5jutKhsbG1y4cAGPHz8u976qXl9l7vllYbUUgI4dO5ZoDwAAtra2pVZXFffFF19gyJAhaNy4MVq2bIl+/fph/PjxKiVGMTExcHZ2hqWlpdL6Zs2aKV4v/Kmnpwd3d3el7Ro2bFjmsV/eFgBSU1OxePFibN++HUlJSUqvlfYLWPyPJSD/I29iYgI7O7sS619ut1PW/gDg4uJSYr1MJkN6ejpq166Ne/fuQRAENGrUqNRre9X4CMnJycjNzS113yZNmihuhgBUPo+7uztmzZqFlStXYtu2bejRowfeeOMNRXuk13F2di7RoLtx48YA5HXfnTt3RkxMDBo1agQ9PeX/N17+LlTmeseMGYOffvoJkyZNwpw5c9C7d28MHz4cI0eOLHHel505cwYLFy7EuXPnSiR46enpivdhzJgx2LNnD86dO4euXbsiMjISYWFhSj0pVH3fIyMjAUAtwzEAQGxsLBYsWIC//voLaWlpJa7hVWJiYtCpU6cS64tXawBQ/JNTePN+mZWVldJzExMT2NvbK62ztbVVim/q1KnYuXMn+vfvj7p166Jv374YPXo0+vXr98qYy3Lv3j3cvn27xHkLvXxveJ2qvI+9fA+xtbUFIK/qtbKyUhzz5WM4OTnBxsamxO9NaffFss6l6v0KUP3342WV/Swq851W1ddff40JEybAxcUFXl5eGDBgAAICAspsX1ecqtdXmXt+WZjcVFLPnj0RGRmJvXv34siRI/jpp5/w3XffYd26dUolH9WttLYAo0ePxtmzZ/HJJ5+gTZs2sLCwgEwmQ79+/Ur9T15fX1+ldQBKNBx81bavO4ZMJoNEIsHBgwdL3bawPreyynOeFStWIDAwUPE5f/jhhwgODsb58+dRr149tcRT1UxNTXHy5EmEhIRg//79OHToEHbs2IFevXrhyJEjZX4ukZGR6N27N5o2bYqVK1fCxcUFRkZGOHDgAL777jul787gwYNhZmaGnTt3omvXrti5cyf09PQwatQoxTbV9fkWJ5VK0adPH6SmpuLTTz9F06ZNYW5ujkePHiEwMLDcJVllKTzO1q1b4eTkVOL1l3uslPWeF+fg4IDw8HAcPnwYBw8exMGDB7F582YEBASU2uBclRhbtWqFlStXlvr6y3/MxaTq/UbVkrxX9Yyq6P2qPL8fL6vMZ1GZ73RZ79fLDdkB+d+NHj16YPfu3Thy5Ai++eYbLF++HLt27UL//v3LPEd5rq8q7glMbtSgVq1aCAoKQlBQELKystCzZ08sWrRIkdyU9UWqX78+jh07hszMTKX/eu7cuaN4vfCnTCZDVFSUUmZ7//59lWNMS0vD8ePHsXjxYqWGcBWpTqtqHh4eEAQB7u7uihIOVdnb28PU1LTU64qIiKjUeVq1aoVWrVrh888/x9mzZ9GtWzesW7cOS5YseeV+jx8/LtEd/+7duwCgaFxav359XL9+HTKZTKkU5eXvQmWuF5B3Ge7duzd69+6NlStX4quvvsK8efMQEhICPz+/Us/x999/Iy8vD3/99ZfSf7elFRWbm5tj0KBB+P3337Fy5Urs2LEDPXr0gLOzs2IbVd93Dw8PAMC///5bZmyqunHjBu7evYuff/4ZAQEBivWqVvXUr19f5e8UIE9IKhtzcUZGRhg8eDAGDx4MmUyGqVOnYv369Zg/f36ZJR9l3Xc8PDxw7do19O7dWy2j1lbnfay0c8tkMty7d09RUgQAiYmJePr0aZm/N+pUnt+Pl1Xms6jMd7qwBOzp06dK68sqIa5Tpw6mTp2KqVOnIikpCe3atcPSpUsVyU1lv2uVueeXhW1uKunl6hgLCws0bNhQqZtb4R+1l79IAwYMgFQqxX//+1+l9d999x0kEonii1NYR/zjjz8qbbdmzRqV4yzMhl/+j+d1Ay+JYfjw4dDX18fixYtLxCsIQqlVYIX09fXh7++PPXv2IDY2VrH+9u3bOHz4cIXOk5GRoVS/DsgTHT09PZW6axYUFCh1zc7Pz8f69ethb28PLy8vAPLvQkJCAnbs2KG035o1a2BhYQFvb+9KX29qamqJ/du0aQMAr7yO0r476enp2Lx5c6nbjxkzBo8fP8ZPP/2Ea9euYcyYMUqvq/q+t2vXDu7u7li1alWJ353SSgpfpbRrEARB5S7lAwYMwPnz53Hx4kXFuuTkZGzbtk1pO39/f1hZWeGrr74qtbdlcnJyueIGSt5j9PT0FNXer/rczM3NS62aGD16NB49elTqYKS5ubnIzs4uV3zVeR8r7dxAyftYYUnBq3piqUt5fz+Kq8xnUZnvtJWVFezs7HDy5Eml9S9/NlKptMR3yMHBAc7OziX+xlXmu1aZe35ZWHJTSc2bN4ePjw+8vLxQq1YtXL58WdFtrlDhH7APP/wQ/v7+0NfXx5tvvonBgwfD19cX8+bNQ3R0NDw9PXHkyBHs3bsXM2fOVPwX6OXlhREjRmDVqlV48uSJogtl4X//qmT8VlZW6NmzJ77++ms8f/4cdevWxZEjRxAVFVUF70rleHh4YMmSJZg7dy6io6MxdOhQWFpaIioqCrt378a7776L2bNnl7n/4sWLcejQIfTo0QNTp05VJAktWrTA9evXy32ef/75B9OnT8eoUaPQuHFjFBQUYOvWrdDX11dpGHFnZ2csX74c0dHRaNy4MXbs2IHw8HBs2LBBUZf87rvvYv369QgMDERYWBjc3Nzwxx9/4MyZM1i1alWJ9gwVud4vvvgCJ0+exMCBA1G/fn0kJSXhxx9/RL169RRjIZWmb9++ipKD9957D1lZWdi4cSMcHBwQHx9fYvsBAwbA0tISs2fPLvU9UvV919PTw9q1azF48GC0adMGQUFBqFOnDu7cuYObN2+WSN5epWnTpvDw8MDs2bPx6NEjWFlZ4c8//yzRTqEs//nPf7B161b069cPM2bMUHQFLyxxK2RlZYW1a9di/PjxaNeuHd58803Y29sjNjYW+/fvR7du3UokAa8zadIkpKamolevXqhXrx5iYmKwZs0atGnTRqm04mVeXl7YsWMHZs2ahQ4dOsDCwgKDBw/G+PHjsXPnTrz//vsICQlBt27dIJVKcefOHezcuVMxDoyqqvM+9jJPT09MmDABGzZswNOnT+Ht7Y2LFy/i559/xtChQ+Hr61vuY5ZXeX8/iqvMZ1HZ7/SkSZOwbNkyTJo0Ce3bt8fJkycVn0WhzMxM1KtXDyNHjoSnpycsLCxw7NgxXLp0SWl8s8p+1yp7zy9VuftXaZHCruCXLl0q9XVvb+/XdgVfsmSJ0LFjR8HGxkYwNTUVmjZtKixdulSpS2FBQYHwwQcfCPb29oJEIlHqkpeZmSl89NFHgrOzs2BoaCg0atRI+Oabb0p0dc3OzhamTZsm1KpVS7CwsBCGDh0qRERECACUumYXdvkrrbvvw4cPhWHDhgk2NjaCtbW1MGrUKOHx48dldsN8+RgTJkwQzM3NX/s+FXatfLnrdFnvd1nn+/PPP4Xu3bsL5ubmgrm5udC0aVNh2rRpQkRERIkYXnbixAnBy8tLMDIyEho0aCCsW7euRHdIVc/z4MEDYeLEiYKHh4dgYmIi1KpVS/D19RWOHTv22jgK35vLly8LXbp0EUxMTIT69esL//3vf0tsm5iYKAQFBQl2dnaCkZGR0KpVK5W6aqp6vcePHxeGDBkiODs7C0ZGRoKzs7MwduxY4e7du6+9jr/++kto3bq1YGJiIri5uQnLly8XNm3apNQNurhx48YJAAQ/P78yj6nq53v69GmhT58+gqWlpWBubi60bt1aWLNmzSvjLa1r9K1btwQ/Pz/BwsJCsLOzEyZPnixcu3atzC6xL7t+/brg7e0tmJiYCHXr1hW+/PJL4X//+1+p70FISIjg7+8vWFtbCyYmJoKHh4cQGBgoXL58WbFNWb9PL39uf/zxh9C3b1/BwcFBMDIyElxdXYX33ntPiI+Pf+X1ZmVlCW+99ZZgY2MjAFDqqpufny8sX75caNGihWBsbCzY2toKXl5ewuLFi4X09PRXvg8vdwUXhOq7jxXeQ4q/38+fPxcWL14suLu7C4aGhoKLi4swd+5c4dmzZ0r71q9fv9RhO9Rxv1L19+PlruCCULnPQtXvdGn3vpycHOGdd94RrK2tBUtLS2H06NFCUlKS0v0lLy9P+OSTTwRPT0/F75+np6fw448/Kh1LXd+1ytzzXyYRhHKW71KNER4ejrZt2+KXX34p0SWVagYfHx+kpKTg33//FTsUohqJ97GqN3/+fAQHB5eoXtdmbHOjIUobIn7VqlXQ09MrMTIwEVFNxPuYOOLj40sM4aHt2OZGQ3z99dcICwuDr68vDAwMFF1C33333RrVdZOIqCy8j1WvBw8eYPfu3fj9998xaNAgscOpVkxuNETXrl1x9OhRfPnll8jKyoKrqysWLVqEefPmiR0aEZFKeB+rXidPnsTixYvh4+NT5lgz2optboiIiEirsM0NERERaRUmN0RERKRVdK7NjUwmw+PHj2FpaamWoceJiIio6gmCgMzMTDg7O792sl+dS24eP37MVvlEREQaKi4u7rUTFutcclM4jH1cXBysrKxEjoaIiIhUkZGRARcXl1dOR1NI55KbwqooKysrJjdEREQaRpUmJWxQTERERFqFyQ0RERFpFSY3REREpFV0rs0NEVUfmUyG/Px8scMgIg1hZGT02m7eqmByQ0RVIj8/H1FRUZDJZGKHQkQaQk9PD+7u7jAyMqrUcZjcEJHaCYKA+Ph46Ovrw8XFRS3/iRGRdiscZDc+Ph6urq6VGmiXyQ0RqV1BQQFycnLg7OwMMzMzscMhIg1hb2+Px48fo6CgAIaGhhU+Dv+dIiK1k0qlAFDpomUi0i2F94zCe0hFMbkhoirD+duIqDzUdc9gckNERERahckNEVEVcXNzw6pVq1TePjo6GhKJBOHh4VUWE5EuYINiIqo2y66mVOv55rS1q9bzvezSpUswNzdX6zG3bNmCmTNn4unTp2o9LpE2YXJDRFRF7O3txQ6BSCexWoqI6IV9+/bBxsZG0VMjPDwcEokEc+bMUWwzadIkvP322wCA06dPo0ePHjA1NYWLiws+/PBDZGdnK7Z9uVrqzp076N69O0xMTNC8eXMcO3YMEokEe/bsUYrjwYMH8PX1hZmZGTw9PXHu3DkAQGhoKIKCgpCeng6JRAKJRIJFixZVzZtBpMGY3BARvdCjRw9kZmbi6tWrAIATJ07Azs4OoaGhim1OnDgBHx8fREZGol+/fhgxYgSuX7+OHTt24PTp05g+fXqpx5ZKpRg6dCjMzMxw4cIFbNiwAfPmzSt123nz5mH27NkIDw9H48aNMXbsWBQUFKBr165YtWoVrKysEB8fj/j4eMyePVvt7wORpmO1FFWrstpciN02gggArK2t0aZNG4SGhqJ9+/YIDQ3FRx99hMWLFyMrKwvp6em4f/8+vL29ERwcjHHjxmHmzJkAgEaNGuH777+Ht7c31q5dCxMTE6VjHz16FJGRkQgNDYWTkxMAYOnSpejTp0+JOGbPno2BAwcCABYvXowWLVrg/v37aNq0KaytrSGRSBTHIKKSWHJDRFSMt7c3QkNDIQgCTp06heHDh6NZs2Y4ffo0Tpw4AWdnZzRq1AjXrl3Dli1bYGFhoXj4+/tDJpMhKiqqxHEjIiLg4uKilJR07Nix1Bhat26tWK5Tpw4AICkpSc1XSqS9WHJDRFSMj48PNm3ahGvXrsHQ0BBNmzaFj48PQkNDkZaWBm9vbwBAVlYW3nvvPXz44YcljuHq6lqpGIoPO184qBknICVSHZMbIqJiCtvdfPfdd4pExsfHB8uWLUNaWho+/vhjAEC7du1w69YtNGzYUKXjNmnSBHFxcUhMTISjoyMAeVfx8jIyMqr00PRE2o7VUkRExdja2qJ169bYtm0bfHx8AAA9e/bElStXcPfuXUXC8+mnn+Ls2bOYPn06wsPDce/ePezdu7fMBsV9+vSBh4cHJkyYgOvXr+PMmTP4/PPPAZRvyHk3NzdkZWXh+PHjSElJQU5OTuUumEgLMbkhInqJt7c3pFKpIrmpVasWmjdvDicnJzRp0gSAvF3MiRMncPfuXfTo0QNt27bFggUL4OzsXOox9fX1sWfPHmRlZaFDhw6YNGmSorfUy42PX6Vr1654//33MWbMGNjb2+Prr7+u3MUSaSGJIAiC2EFUp4yMDFhbWyM9PR1WVlZih6Nz2FtKNzx79gxRUVFwd3cv1x9uXXPmzBl0794d9+/fh4eHh9jhEInuVfeO8vz9ZpsbqhpPngDLlgG7dwMJCUDdusCwYTDtG4Rc29piR0ckit27d8PCwgKNGjXC/fv3MWPGDHTr1o2JDZGasVqK1O/8eaBZM+Dbb4HISCA7G7h7F1i+HO8O7wK386FiR0gkiszMTEybNg1NmzZFYGAgOnTogL1794odFpHWYckNqVdYGNCnD5CVJX9uaAi4uwMPHgAFBTBNT8PoD97E3mUbEdF7cLkPz2ot0mQBAQEICAgQOwwirceSG1KftDRgxIiixMbXF4iOBiIigJgYYLA8mdGTSvHG3PdQ99pF8WIlIiKtxZIbUp9PP5UnMQDQuTNw4ABQ2CDM2RnYswc3hr6FVn/vgH7Bc7wx911s/vUfPLOpVelTl1aiw9IcIiLdxOSG1OPyZeCnn+TLlpbAzp1FiU0hPT0cmL8KNg9j4HL1PKwTHsE/+BPsXf6/KgmJCQ8RkW5itRSpxxdfAIWjCixaBLi4lLqZYGCAvcEbkGMj7zHV7OhfaHDmWDUFSUREuoDJDVXejRvA33/Ll+vVA8oYobVQlkMd/DNrseJ5n+Vzgfz8qoyQiIh0CJMbqrziI6R+8glgZPTaXf4dOBqxXl0BALYPo4GNG6soOCIi0jVMbqhy0tKA33+XL9euDUyapNp+Egn++aio9AZffikfD4eIKiw8PBzffPMNCgoKqvxc0dHRWLJkCbIKe0cS1SBMbqhyfvsNyMuTL48fD5iZqbxrQvM2iOg1UP4kMREhny3HsqspigeRLgsMDMTQoUNV3j41NRUjRoxAs2bNYGBQ/r4ibm5uWLVqlUrb5uXlYdSoUbCzs4OFhUW5z/WyLVu2wMbGptLHUZfjx4+jWbNmnH39NXx8fDBz5kyVtz906BDatGkDmUxWdUG9wOSGKmfTpqLloKBy735y6lwIL2ZE7rBtHfTz89QVGVG5BQYGQiKRQCKRwNDQEI6OjujTpw82bdpULTfk4lavXo0tW7Yonr/qD4kgCAgICMCnn36KQYMGvfK46kgkPvroI/Tt2xfvv/9+pY5TaMyYMbh7965ajqUO//nPf/D5559DX18fQM1LvjRVv379YGhoiG3btlX5uZjcUMXduSMfkRgAvLyA1q3LfYgnDZooSm8sniSjxYE/1BkhUbn169cP8fHxiI6OxsGDB+Hr64sZM2Zg0KBB1VLdU8ja2lrlP6gSiQT79u3Du+++W7VBvfDjjz9i6dKlajnW8+fPYWpqCgcHB7Ucr7JOnz6NyMhIjBgxQuxQKk0qlVZ7Uv46gYGB+P7776v8PExuqOL27ClafuutCh/mQkBR76qOW38EatgvI+kWY2NjODk5oW7dumjXrh0+++wz7N27FwcPHlQqSXn69CkmTZoEe3t7WFlZoVevXrh27Zri9UWLFqFNmzbYunUr3NzcYG1tjTfffBOZmZmKbf744w+0atUKpqamqF27Nvz8/JD9ou1Z8WqpwMBAnDhxAqtXr1aULEVHRwMA/v33X/Tv3x8WFhZwdHTE+PHjkZJSerVuaGgogoKCkJ6erjjOokWLFK/n5ORg4sSJsLS0hKurKzZs2KC0f1xcHEaPHg0bGxvUqlULQ4YMUcQBADKZDF988QXq1asHY2NjtGnTBocOHVK8Hh0dDYlEgh07dsDb2xsmJibYtm1bqSUjy5Ytg6OjIywtLfHOO+9gzpw5aNOmjeL10kqyhg4disDAQMXzvLw8zJ49G3Xr1oW5uTk6deqE0NDQUt+bQtu3b0efPn3KNZt9bGwshgwZAgsLC1hZWWH06NFITExU2mbJkiVwcHCApaUlJk2aVOJ6Cj/vb7/9FnXq1EHt2rUxbdo0PH/+XLFNWloaAgICYGtrCzMzM/Tv3x/37t1TvF74Pv71119o3rw5jI2NERsbCzc3NyxZsgQBAQGwsLBA/fr18ddffyE5OVkRd+vWrXH58mXFsZ48eYKxY8eibt26MDMzQ6tWrfDbb7+98n1Q5f0ePHgwLl++jMjISJXf34pgckMVt3t30fKwYRU+THwrL8S16QQAsIu6iwbn/qlsZFQTtW8vHyqguh/t21c69F69esHT0xO7du1SrBs1ahSSkpJw8OBBhIWFoV27dujduzdSU1MV20RGRmLPnj3Yt28f9u3bhxMnTmDZsmUAgPj4eIwdOxYTJ07E7du3ERoaiuHDh0MoHC+qmNWrV6NLly6YPHky4uPjER8fDxcXFzx9+hS9evVC27ZtcfnyZRw6dAiJiYkYPXp0qdfRtWtXrFq1ClZWVorjzJ49W/H6ihUr0L59e1y9ehVTp07FlClTEBERAUBewuLv7w9LS0ucOnUKZ86cgYWFBfr164f8F0M5rF69GitWrMC3336L69evw9/fH2+88YbSH2AAmDNnDmbMmIHbt2/D39+/RJw7d+7EokWL8NVXX+Hy5cuoU6cOfvzxR1U/LoXp06fj3Llz2L59O65fv45Ro0ahX79+JeIp7tSpU2hfju+MTCbDkCFDkJqaihMnTuDo0aN48OABxowZo9hm27ZtWLp0KZYvX46wsDC4urpi7dq1JY4VEhKCyMhIhISE4Oeff8aWLVuUEurAwEBcvnwZf/31F86dOwdBEDBgwAClBCgnJwfLly/HTz/9hJs3bypKxL777jt069YNV69excCBAzF+/HgEBATg7bffxpUrV+Dh4YGAgADF9+/Zs2fw8vLC/v378e+//+Ldd9/F+PHjcfFi2dPmqPJ+u7q6wtHREadOnVL5Pa4QQcekp6cLAIT09HSxQ9FsDx8KgnzYPkHw9FR5t+AryaU+/ljxs+J4d737CcFXksu1v6oPqh65ubnCrVu3hNzc3KKVdesWfWeq81G3rspxT5gwQRgyZEipr40ZM0Zo1qyZIAiCcOrUKcHKykp49uyZ0jYeHh7C+vXrBUEQhIULFwpmZmZCRkaG4vVPPvlE6NSpkyAIghAWFiYAEKKjo1WKxdvbW5gxY4bSNl9++aXQt29fpXVxcXECACEiIqLU427evFmwtrYusb5+/frC22+/rXguk8kEBwcHYe3atYIgCMLWrVuFJk2aCDKZTLFNXl6eYGpqKhw+fFgQBEFwdnYWli5dqnTcDh06CFOnThUEQRCioqIEAMKqVateGVOXLl0U+xTq1KmT4FnsXlPa+zFkyBBhwoQJgiAIQkxMjKCvry88evRIaZvevXsLc+fOLXH9haytrYX/+7//e2V8xR05ckTQ19cXYmNjFetu3rwpABAuXryoiH3atGlK+3Xr1k3peiZMmCDUr19fKCgoUKwbNWqUMGbMGEEQBOHu3bsCAOHMmTOK11NSUgRTU1Nh586dijgBCOHh4UrnevmzjY+PFwAI8+fPV6w7d+6cAECIj48v870ZOHCg8PHHHyueF/8MyvN+t23bVli0aFGp5yj13vFCef5+c/oFqpi//iparkSpTaH7Pfoiw6EOrJLi4XHqCCwTHwPgVAlaxclJo88rCAIkLxq/X7t2DVlZWahdu7bSNrm5uUrF7W5ubrC0tFQ8r1OnDpKSkgAAnp6e6N27N1q1agV/f3/07dsXI0eOhK2trcoxXbt2DSEhIaX2WIqMjETjxo3LdY2ti7Wbk0gkcHJyUsR77do13L9/X+l6APl/+JGRkcjIyMDjx4/RrVs3pde7deumVF0H4LUlI7dv3y7RWLlLly4ICQlR+Vpu3LgBqVRa4j3Iy8sr8bkVl5ubW64qqdu3b8PFxQUuxUZlb968OWxsbHD79m106NABERERmDp1qtJ+HTt2xD//KJdSt2jRQtGIGZB/X27cuKE4j4GBATp16qR4vXbt2mjSpAlu376tWGdkZKT0ORYqvs7R0REA0KpVqxLrkpKS4OTkBKlUiq+++go7d+7Eo0ePkJ+fj7y8PJiV0SO2PO+3qakpcnJySj2OujC5oYo5erRo+cVs35UhGBjg+tC30X3DN9CTydB6zzagX/kbKFMNVqw+XxPdvn0b7u7uAICsrCzUqVOn1PYbxduOGBoaKr0mkUgUDTz19fVx9OhRnD17FkeOHMGaNWswb948XLhwQXGe18nKysLgwYOxfPnyEq/VqVNHxSsr8qp4s7Ky4OXlVWpPF3t7+3Kdx9zcvNyxvUxPT69EFV7x6pmsrCzo6+sjLCxMKWEA8Mru63Z2dkhLS6t0fBXxqvdfVaampookvKxjF75e2rrC833zzTdYvXo1Vq1ahVatWsHc3BwzZ85UVEG+rDzvd2pqarm/M+XFNjdUfgUFQOF/HLVrA8UaxVXGtWFvQ6Yn/0p67vlFfh6iGuCff/7BjRs3FD1o2rVrh4SEBBgYGKBhw4ZKDzs71UscJRIJunXrhsWLF+Pq1aswMjLC7uJt2YoxMjIqMe5Ku3btcPPmTbi5uZWIo6wEorTjqKJdu3a4d+8eHBwcSpzL2toaVlZWcHZ2xpkzZ5T2O3PmDJo3b16uczVr1gwXLlxQWnf+/Hml5/b29oiPj1c8l0ql+PfffxXP27ZtC6lUiqSkpBLxOr2iNK9t27a4detWuWKNi4tDXFycYt2tW7fw9OlTxXU3adIEly5dUtrv5eeqnKegoEDpfXny5AkiIiLK/f6q4syZMxgyZAjefvtteHp6okGDBq/srq/q+11Y0te2bVu1x1wckxsqv7AwID1dvty7N6Cnnq9RpqMzIrv3AQBYJT4GivWyIKoueXl5SEhIwKNHj3DlyhV89dVXGDJkCAYNGoSAgAAAgJ+fH7p06YKhQ4fiyJEjiI6OxtmzZzFv3jylHievcuHCBUWD2djYWOzatQvJyclo1qxZqdu7ubnhwoULiI6ORkpKCmQyGaZNm4bU1FSMHTsWly5dQmRkJA4fPoygoKAyExg3NzdkZWXh+PHjSElJUbl6YNy4cbCzs8OQIUNw6tQpREVFITQ0FB9++CEePnwIAPjkk0+wfPly7NixAxEREZgzZw7Cw8MxY8YMlc5RaMaMGdi0aRM2b96Mu3fvYuHChbh586bSNr169cL+/fuxf/9+3LlzB1OmTMHTp08Vrzdu3Bjjxo1DQEAAdu3ahaioKFy8eBHBwcHYv39/mef29/fH6dOnS6yXSqUIDw9Xety+fRt+fn5o1aoVxo0bhytXruDixYsICAiAt7e3ovrtgw8+wP/+9z/8/PPPuHfvHpYsWYLr16+XWsJSlkaNGmHIkCGYPHkyTp8+jWvXruHtt99G3bp1MWTIEJWPU57zFZYs3r59G++9916JHmDFqfp+nz9/HsbGxujSpYvaYy6OyQ2VX/EqqT591Hroa8PGFz355Re1HptIFYcOHUKdOnXg5uaGfv36ISQkBN9//z327t2rKG6XSCQ4cOAAevbsiaCgIDRu3BhvvvkmYmJiFG0XXsfKygonT57EgAED0LhxY3z++edYsWIF+vfvX+r2s2fPhr6+Ppo3bw57e3vExsYqSkqkUin69u2LVq1aYebMmbCxsYFeGf90dO3aFe+//z7GjBkDe3t7fF18brhXMDMzw8mTJ+Hq6orhw4ejWbNmeOedd/Ds2TNYWVkBAD788EPMmjULH3/8MVq1aoVDhw7hr7/+QqNGjVQ6R6ExY8Zg/vz5+M9//gMvLy/ExMRgypQpSttMnDgREyZMUCQSDRo0gK+vr9I2mzdvRkBAAD7++GM0adIEQ4cOxaVLl+Dq6lrmuceNG4ebN28qeokVysrKQtu2bZUegwcPhkQiwd69e2Fra4uePXvCz88PDRo0wI4dO5SOOXfuXMyePRvt2rVDVFQUAgMDy9W2p/B6vLy8MGjQIHTp0gWCIODAgQMlqrPU4fPPP0e7du3g7+8PHx8fODk5vXbEbFXe799++w3jxo0rs+2OukiElysttVxGRgasra2Rnp6u+IWkcvL1BQrbGkRFAW5uKu/6umkV9J4/x3T/VjB7+gQwMQESEgBra5X3f505bdlIuTo8e/YMUVFRcHd3L/cNnKg0ixYtwp49exAeHl7l5/rkk0+QkZGB9evXV9k5+vTpAycnJ2zdurXKzlHTpKSkoEmTJrh8+XKZ7cpede8oz99vltxQ+Tx/DhTW+davX67ERhUyQ0Pc9h8qf/LsGVBsXBEiouowb9481K9fX22j++bk5GDlypW4efMm7ty5g4ULF+LYsWOYMGGCWo6vKaKjo/Hjjz+q3GC+MpjcUPlcuwbk5sqXX+ryqS7/DhhV9IRVU0RUzWxsbPDZZ5+VWbVXXsWrMb28vPD333/jzz//hJ+fn1qOrynat2+vNLhhVWJXcCqfs2eLlrt2rZJTxLdsh1QXd9SKiwJCQoCHD+UjzRKRzlq0aJHSVBGaxNTUFMeOHRM7DJ3Ckhsqn+LdPKsouYFEgpuFpTeCAPz6a9Wch4iItBKTGyqfwpIbc3Og2OiW6nZzwMiiJ8V6HZBm0bH+CkRUSeq6ZzC5IdXFxcmriACgc2fAoOpqNZ+6uBdNeHjlCvDgQZWdi9SvsMt0WaOZEhGVpvCe8fIox+XFNjekumpob6Nk5MiiIfv//BP45JOqPyephYGBAczMzJCcnAxDQ0O1NcwkIu0lk8mQnJwMMzMzGFTyn2cmN6S64sOFd+5c9ecbMQKYM0e+/McfTG40iEQiQZ06dRAVFYWYmBixwyEiDaGnpwdXV9dyjd5cGiY3pLorV4qWvbyq/nwNG8rnrQoPBy5eBGJiAFR+wj2qHkZGRmjUqBGrpohIZUZGRmop6WVyQ6oRBODqVfmyszOg4hDzlTZihDy5AeQD+vmMf+XmVLPo6elxhGIiqnY1oiL8hx9+gJubG0xMTNCpUydcvHixzG23bNkCiUSi9ODNsxpERwOFk9JV8WyuSkYW6zX1xx/Vd14iItJYoic3O3bswKxZs7Bw4UJcuXIFnp6e8Pf3R1JSUpn7WFlZIT4+XvFgnX41KF4l1a5d9Z23aVOgRQv58tmzsEiKr75zExGRRhI9uVm5ciUmT56MoKAgNG/eHOvWrYOZmRk2bdpU5j4SiQROTk6Kx6tm4c3Ly0NGRobSgypArOQGUCq9aRxyoHrPTUREGkfU5CY/Px9hYWFK82vo6enBz88P586dK3O/rKws1K9fHy4uLhgyZAhu3rxZ5rbBwcGwtrZWPFxcXNR6DTqjsL0NUL3VUgAwbJhiseHJw9V7biIi0jiiJjcpKSmQSqUlSl4cHR2RkJBQ6j5NmjTBpk2bsHfvXvzyyy+QyWTo2rUrHhYOLveSuXPnIj09XfGIi4tT+3VoPUEAwsLky7VqAa6u1Xv+1q2BF0mp6+UzMMrOqt7zExGRRhG9Wqq8unTpgoCAALRp0wbe3t7YtWsX7O3tsX79+lK3NzY2hpWVldKDyikhAShsA9WuHVDJ8QfKTSIB3ngDAGDwPB/u50Oq9/xERKRRRE1u7OzsoK+vj8TERKX1iYmJcHJyUukYhoaGaNu2Le7fv18VIRIA/Ptv0XLr1uLEMHiwYrHhiUPixEBERBpB1OTGyMgIXl5eOH78uGKdTCbD8ePH0aVLF5WOIZVKcePGDdSpU6eqwqTibZoKey5VNx8fwMICAOBx+hgkUqk4cRARUY0nerXUrFmzsHHjRvz888+4ffs2pkyZguzsbAQFBQEAAgICMHfuXMX2X3zxBY4cOYIHDx7gypUrePvttxETE4NJkyaJdQnar3jJjVjJjbEx0K8fAMDsaSrqXr/0mh2IiEhXiT5C8ZgxY5CcnIwFCxYgISEBbdq0waFDhxSNjGNjY5WGYk5LS8PkyZORkJAAW1tbeHl54ezZs2jevLlYl6D9ipfciPk+Dx6sGMiv4YnDeNi2Gua3IiIijSMRBEEQO4jqlJGRAWtra6Snp7NxsSoEAbCxATIy5L2kKjlg4rKrKRXe1zTtCT7o0xx6MhlS3Brhp11nX7/TS+a0tavw+YmISDzl+fsterUU1XAPH8oTGwBo2VLUUHJta+ORZ0cAgF30PdjGRooaDxER1UxMbujVakJj4mLu9fRXLDc8eVTESIiIqKZickOvVsOSmwfdi0azbnD2+Cu2JCIiXcXkhl6thiU3KQ2aIN2pLgDAJewsDHOzRY6IiIhqGiY39GrFk5tmzcSLo5BEggddewOQj1bsevmMyAEREVFNw+SGyiYIwN278mVXV8DcXNx4XnjQrbdiucEZVk0REZEyJjdUtidPgKdP5cuNG4saSnExHXtCamAIAGhw9h95EkZERPQCkxsqW2GpDVCjkpt8cws8bNMJAGD7MBq2sQ9EjoiIiGoSJjdUtuLJTaNG4sVRishiVVMeZ46JGAkREdU0ok+/QDXYvXtFyxUouanMaMSv86Bbb/RavRiAvN3N5bfeq7JzERGRZmHJDZWtBpfcpHg0RYajMwDANewsDHJzRI6IiIhqCpbcUNkKS24MDAA3t1duWpWlNKV60SW8ze6tMMjPg2vYGTzo3qd6YyAiohqJJTdUOkEoSm4aNAAMDcWNpxQPlNrdsEs4ERHJMbmh0j1+DOS8qOqpYVVShaI79oTUQF74yPFuiIioEJMbKl0N7QZeXL6F5UtdwjlLOBERMbmhslSyp1R1KZyKAXgxoB8REek8JjdUuhrcU6q4qK6+imW38ydEjISIiGoKJjdUOg2olgKApIbNkV3LHgDgevk09J4/FzkiIiISG5MbKt39+/KfJiZA3brixvIqenqI6uQNADDOyYbzjcsiB0RERGJjckMlCQIQHS1fdncH9Gr21yS6s7di2f18qHiBEBFRjVCz/2qROBITgdxc+bK7u7ixqCC6s49ime1uiIiIyQ2VFBVVtKwByU2WvROSPZoCAOrcugrjjKfiBkRERKJickMlaVhyAwBRL0pv9GQyuF06JW4wREQkKiY3VJIGJzcA4HYuVLQ4iIhIfExuqKQHD4qWNSS5iWvXBQWGRgBeNCoWBHEDIiIi0TC5oZI0sOSmwNRMMRWDzeNY2MRFvWYPIiLSVkxuqKTC5MbGRv7QEOwSTkREAJMbellBARAXJ1/WkFKbQsXb3bhfYJdwIiJdxeSGlMXFAVKpfFnDkpvEJq2QY1MbAOB66RQkBQUiR0RERGJgckPKNLC9jYKeHqI79QQAmGRlwvnmFZEDIiIiMTC5IWWanNwAiO5UrN0Nu4QTEekkJjekTMOTG6XxbtiomIhIJzG5IWUantxkOtVFilsjAIDzzSswzkwXOSIiIqpuTG5IWfHkxs1NtDAqI7qLDwBATypF/UunxQ2GiIiqHZMbUhYbK//p6AiYmoobSwUpVU2xSzgRkc5hckNFnj8HHj+WL7u4iBtLJcR6dYXUwBAA4H4uRORoiIioujG5oSKPHxfNyeTqKm4slfDczAKPPDsAAGwfRsP6YbS4ARERUbVickNFCqukAI0uuQGAqOJdws+zaoqISJcwuaEihdMuABqf3EQrtbsJFS0OIiKqfkxuqEjx5EaDq6UAIKGZJ3KtbAAAbhdPQVI4pQQREWk9JjdURIuqpQR9fcR07AEAMMlMh9OtcHEDIiKiasPkhopoUbUUAER18lEsu7NqiohIZzC5oSKFyY2BAeDkJG4sahDduahRsRsbFRMR6QwmN1SksFqqbl1AX1/cWNQgvW59pLrIp5Coe/0SjLKzRI6IiIiqg4HYAVANkZMDpKbKl7WgSqpQdGcf1IqLgn5BAVzCzmKZuUWp281pa1fNkRERUVVhyQ3JaVFPqeKii493w3Y3REQ6gckNyWlRT6niYjp0h0xP/jVnuxsiIt3A5IbktLTkJs/SGo9begEA7KLuwjLxscgRERFRVWNyQ3Ja1g28uOJVU27nQ8ULhIiIqgWTG5LT0mop4KUu4RdYNUVEpO1qRHLzww8/wM3NDSYmJujUqRMuXryo0n7bt2+HRCLB0KFDqzZAXaCl1VIA8LilF/Je9JJyu3ASkMlEjoiIiKqS6MnNjh07MGvWLCxcuBBXrlyBp6cn/P39kZSU9Mr9oqOjMXv2bPTo0aOaItVyhcmNmRlgaytuLGomMzREbPvuAADztBQ43v1X5IiIiKgqiZ7crFy5EpMnT0ZQUBCaN2+OdevWwczMDJs2bSpzH6lUinHjxmHx4sVo0KBBNUarpQShqFrKxQWQSAAAy66mlHhoqqhOHK2YiEhXiJrc5OfnIywsDH5+fop1enp68PPzw7lz58rc74svvoCDgwPeeeed154jLy8PGRkZSg96SVqafBA/QOuqpApFd/ZRLLPdDRGRdhM1uUlJSYFUKoWjo6PSekdHRyQkJJS6z+nTp/G///0PGzduVOkcwcHBsLa2VjxctKyxrFo8fFi0XK+eeHFUodT6Hkh3kl+by9XzMHiWK3JERERUVUSvliqPzMxMjB8/Hhs3boSdnWrD5c+dOxfp6emKR1zxhrMk9+hR0XLduuLFUZUkEkWvKYP8PNS7el7kgIiIqKqIOreUnZ0d9PX1kZiYqLQ+MTERTqXMSh0ZGYno6GgMHjxYsU72oueLgYEBIiIi4OHhobSPsbExjI2NqyB6LfK42MB22prcQN7uxnPPNgCA+/kTiO7iK3JERERUFUQtuTEyMoKXlxeOHz+uWCeTyXD8+HF06dKlxPZNmzbFjRs3EB4erni88cYb8PX1RXh4OKucKqp4cuPsLF4cVSymY08ILxpLu3GeKSIirSX6rOCzZs3ChAkT0L59e3Ts2BGrVq1CdnY2goKCAAABAQGoW7cugoODYWJigpYtWyrtb2NjAwAl1lM5FK+W0uLkJte2NhKatkad29fgePcmzJ4kIae2g9hhERGRmome3IwZMwbJyclYsGABEhIS0KZNGxw6dEjRyDg2NhZ6ehrVNEjz6Ei1FCAfrbjO7WsA5AP63RowUuSIiIhI3URPbgBg+vTpmD59eqmvhYaGvnLfLVu2qD8gXVNYcqOvDzhod0lGdCcfdNn8PQDA/UIokxsiIi3EIhEqKrlxcpInOFrsYZuOeG5iCuDFYH6CIHJERESkbkxudF1BAVDYW02L29sUkhoZI7advLG6ZXIC7B5EiBwRERGpG5MbXZeQUFR6oQPJDfDSaMXnQ0WLg4iIqgaTG12nQ42JC0VxKgYiIq1WIxoUk4jK2Q1ckyfPLJTi0RSZdo6wTEmE6+Wz0M/PEzskIiJSIyY3uk4HS24gkSCmkzda7t8Jo2c5qHv9MpYZlRzFek5b1ab4ICKimoXJjY55ueSl55X76PpieXuOOaK1oGRGFVEvkhtA3u4mtn03kSMiIiJ1YZsbHWeZHK9YzrIvOZ+Xtoru1FOxzHY3RETahcmNjrNILpq0NNOhjoiRVK9seyckNWwOAKhzKxwm6WkiR0REROrC5EbHWSTJS26eG5sgz9Ja5GiqV3RnbwCARBBQ/+JJkaMhIiJ1YXKj4yyTEwC8qJJ6MWO2rijeJdz9PKumiIi0BZMbHWaQmwOTzHQAutXeplBc284oMDQCALifD+VUDEREWoLJjQ6zeFFqAwCZOpjcFJia4WGbTgAA6/g42MY9EDkiIiJSByY3OsyyWHKTpUONiYsrbHcDvJhIk4iINB6TGx1WvORGF6ulgJfa3bBLOBGRVmByo8OKl9zoUjfw4hKbtEKOTW0AgOulU5AUFIgcERERVRaTGx1mnpKkWM6u7SBiJCLS00N0xx4AAJOsTDjfvCJyQEREVFlMbnSYeWqyYjm7lr2IkYiL7W6IiLQLkxsdZvakeMmNDic3nXwUy+7nQ8QLhIiI1ILJjQ4zT5NPkik1MMAzKxtxgxFRRp16SHFvDABwvhHGqRiIiDQcZwXXYWZP5NVSObZ2Ojc68csedOsNu6i70JPJ4HY+FHf8h5WYQR0A5rS1EyE6IiIqD5bc6CqZTFFyo8tVUoUedO2lWPY4e1zESIiIqLKY3Ogo0/Q06EmlAHS7MXGhuHZdkG9iBgBwP/sPIJOJHBEREVUUkxsdVbynVA5LbiA1MkZsh+4AAIsnyXC8+6/IERERUUUxudFRZqlF7Umya+noGDcviezWW7Hc4AyrpoiINBWTGx2lVHJTi41kAeV2N0xuiIg0F5MbHWVefIwbtrkBAKTXc8OT+h4AgLo3LsM4M13kiIiIqCLYFVyLldaVuVBhN3CAvaWKe9C1N2rHREJPKoXbhROI8HtD7JCIiKicWHKjozj1QukesN0NEZHGY3Kjo8yLNyhmyY1CrFdXPDcxBQA0OPsPIAgiR0REROXF5EZHmb0ouREkEuRa1xI5mppDamyCmPbdAACWyQlwuHdT5IiIiKi8mNzoKPPCqRdsakMwYNOr4qLYa4qISKMxudFFgqBoc8MqqZIiu7LdDRGRJqtUcnP//n0cPnwYubm5AACB7RM0glF2Fgzy8wAAOWxMXMJT1wZIdXEHANS9fgnGmRkiR0REROWhUnIje2menSdPnsDPzw+NGzfGgAEDEB8fDwB455138PHHH6s/SlIr89TiY9xwAL/SFPaa0i8oQP2LJ0WOhoiIykOl5GblypU4cOCA4vlHH30EAwMDxMbGwszMTLF+zJgxOHTokPqjJLUyf1J8dGKW3JRGqUs4ZwknItIoKrUk7dOnD0aMGIH4+Hi88847OHLkCA4fPox69eopbdeoUSPExMRUSaCkPkpj3LDNTali23VFgZExDPLz5O1uBAGQSMQOi4iIVKBSyY2npycuXryIPXv2AACys7OVSmwKpaamwtjYWK0BkvopjU7MkptSFZiaIdarKwDAKimeXcKJiDSIyg2Ka9Wqhb///hsA0KNHD/zf//2f4jWJRAKZTIavv/4avr6+6o+S1IoD+Knmfo++imWPk0dEjISIiMqjQr2lvv76a2zYsAH9+/dHfn4+/vOf/6Bly5Y4efIkli9fru4YSc3MUtnmRhWRPYuSm4anjooYCRERlUeFkpuWLVvi7t276N69O4YMGYLs7GwMHz4cV69ehYeHh7pjJDUzZ7WUStKdXZHUsBkAwPnfMKWkkIiIaq4KDU0bGxsLFxcXzJs3r9TXXF1dKx0YVZ3iXcFz2BX8lSJ79IHD/duQCAI8Th8DejcTOyQiInqNCpXcuLu7Izm55H+xT548gbu7e6WDoqpVWHLzzNIaUiM2AH+V+z39Fcsep9juhohIE1QouREEAZJSusVmZWXBxMSk0kFR1TJLkzcoZmPi13vc0gs5NrUBAO7nQoC8PJEjIiKi1ylXtdSsWbMAyHtHzZ8/X6k7uFQqxYULF9CmTRu1BkjqZfAsF8bZWQCAHFtWSb2OoK+PyO690WrfThjnZAMnTwJ9+ogdFhERvUK5kpurV68CkJfc3LhxA0ZGRorXjIyM4OnpidmzZ6s3QlIrDuBXfvd79EWrfTvlT/7+m8kNEVENV67kJiQkBAAQFBSE1atXw8rKqkqCoqrDAfzKL7qzL6QGBtAvKAD27QNWr+ZoxURENViF2txs3ryZiY2GUh7Az0HESDRHnqUV4trJRytGVBRw65a4ARER0SupXHIzfPhwbNmyBVZWVhg+fPgrt921a1elA6OqYaY0IzhLblR1v0cfuBXODr5vH9CihbgBERFRmVQuubG2tlb0kLK2tn7lg2ou5RnB2aBYVcW7hGPfPvECISKi11K55Gbz5s2lLpNmUWpQzJIblT11cUeKWyPYRd8Dzp4FnjwBatcWOywiIipFhdrc5ObmIicnR/E8JiYGq1atwpEjFRvk7IcffoCbmxtMTEzQqVMnXLx4scxtd+3ahfbt28PGxgbm5uZo06YNtm7dWqHz6iKlqRfYW6pcFKU3Mhlw8KC4wRARUZkqlNwMGTJEMSv406dP0bFjR6xYsQJDhgzB2rVry3WsHTt2YNasWVi4cCGuXLkCT09P+Pv7IykpqdTta9WqhXnz5uHcuXO4fv06goKCEBQUhMOHD1fkUnRO4QB+AJDD5KZcInsU6wL+99/iBUJERK9UoeTmypUr6NGjBwDgjz/+gJOTE2JiYvB///d/+P7778t1rJUrV2Ly5MkICgpC8+bNsW7dOpiZmWHTpk2lbu/j44Nhw4ahWbNm8PDwwIwZM9C6dWucPn26IpeicwpLbvJNzPDc1FzkaDTLQ8+OQK1a8icHD3K0YiKiGqpCyU1OTg4sLS0BAEeOHMHw4cOhp6eHzp07IyYmRuXj5OfnIywsDH5+fkUB6enBz88P586de+3+giDg+PHjiIiIQM+ePUvdJi8vDxkZGUoPXVbY5oalNuUnGBgAgwbJn2RmAsePixsQERGVqkLJTcOGDbFnzx7ExcXh8OHD6Nu3LwAgKSmpXOPfpKSkQCqVwtHRUWm9o6MjEhISytwvPT0dFhYWMDIywsCBA7FmzRr0KWPU2ODgYKWeXC4uLirHp230nj+HaXoaADYmrrBhw4qW9+wRLQwiIipbhZKbBQsWYPbs2XBzc0OnTp3QpUsXAPJSnLZt26o1wNJYWloiPDwcly5dwtKlSzFr1iyEhoaWuu3cuXORnp6ueMTFxVV5fDVV8fY2bExcQX37Aqam8uW9ewGpVNx4iIiohHJNv1Bo5MiR6N69O+Lj4+Hp6alY37t3bwwr/p/ta9jZ2UFfXx+JiYlK6xMTE+Hk5FTmfnp6emjYsCEAoE2bNrh9+zaCg4Ph4+NTYltjY2MYGxurHJM2YzdwNTAzA/z95aU2SUnAuXNA9+5iR0VERMVUqOQGAJycnNC2bVvo6RUdomPHjmjatKnKxzAyMoKXlxeOF2u7IJPJcPz4cUVpkCpkMhny2Ljztcw4gJ96sGqKiKhGq1DJTXZ2NpYtW4bjx48jKSkJMplM6fUHDx6ofKxZs2ZhwoQJaN++PTp27IhVq1YhOzsbQUFBAICAgADUrVsXwcHBAORtaNq3bw8PDw/k5eXhwIED2Lp1a7m7oOsiltyoyaBBgL6+vEpq927gm284kSYRUQ1SoeRm0qRJOHHiBMaPH486deoopmWoiDFjxiA5ORkLFixAQkIC2rRpg0OHDikaGcfGxiqVDmVnZ2Pq1Kl4+PAhTE1N0bRpU/zyyy8YM2ZMhWPQFRzAT01q1QK8vYF//gEePABu3ABatxY7KiIieqFCyc3Bgwexf/9+dOvWTS1BTJ8+HdOnTy/1tZcbCi9ZsgRLlixRy3l1jdIAfiy5qZxhw+TJDSCvmmJyQ0RUY1SozY2trS1qFQ5mRhpDueTGQcRItMCQIUXLu3eLFwcREZVQoeTmyy+/xIIFC5Tml6KaT7nNDRsUV4qLC9C+vXw5PByIihI1HCIiKlKhaqkVK1YgMjISjo6OcHNzg6GhodLrV65cUUtwpF6FJTcFhkbIs7QWORotMGwYcPmyfHnvXmDmTFHDISIiuQolN0OHDlVzGFQdzFLlk5Hm1LJj7x51GDoUmDdPvrx7N5MbIqIaokLJzcKFC9UdB1U1mQxmaU8AsBu42jRrBjRuDNy9C5w+LR/Uz4FtmYiIxFbhQfyePn2Kn376CXPnzkVqaioAeXXUo0eP1BYcqY9peir0XoxHxG7gaiKRAMOHy5dlMmDXLnHjISIiABVMbq5fv47GjRtj+fLl+Pbbb/H06VMAwK5duzB37lx1xkdqUrynVI4tGxOrzahRRcu//y5eHEREpFChaqlZs2YhMDAQX3/9NSwtLRXrBwwYgLfeekttwZH6cAA/9Vh2NeWlNS54r54bbB9GA6GhrJoiIqoBKlRyc+nSJbz33nsl1tetWxcJCQmVDorUr3g38Jxa/OOrNhIJ7vR5Q77MqikiohqhQsmNsbExMjIySqy/e/cu7O1ZKlATmaWy5Kaq3OlTNKBf9KZfsexqSiklPEREVF0qlNy88cYb+OKLL/D8+XMAgEQiQWxsLD799FOMGDFCrQGSenAAv6qT2KQV0uq5AQBcw84oJZJERFT9KpTcrFixAllZWbC3t0dubi68vb3RsGFDWFpaYunSpeqOkdRAqUExu4Krl0SC2y9Kb/RkMjT+Z7/IARER6bYKNSi2trbG0aNHcebMGVy7dg1ZWVlo164d/Pz81B0fqQmrpapWRJ830HXzagBA06N/IXxkoLgBERHpsHInNzKZDFu2bMGuXbsQHR0NiUQCd3d3ODk5QRAESDjybY1knipvAyLT00OuNSc9VbfEJq2Q6uKOWnFRxaqmWP1HRCSGclVLCYKAN954A5MmTcKjR4/QqlUrtGjRAjExMQgMDMSwYcOqKk6qpMKSmxzb2hD09UWORgtJJLjjJ+81xaopIiJxlSu52bJlC06ePInjx4/j6tWr+O2337B9+3Zcu3YNx44dwz///IP/+7//q6pYqaIEQdHmJseWVVJV5U7fol5TTY/+JWIkRES6rVzJzW+//YbPPvsMvr6+JV7r1asX5syZg23btqktOFIP46wMGDzPB8D2NlUpqXFLpLq4A5D3mkJSksgRERHppnIlN9evX0e/fv3KfL1///64du1apYMi9VIanZg9parOS1VT+OMPkQMiItJN5UpuUlNT4ejoWObrjo6OSEtLq3RQpF7Fe0rlsOSmSt3xH1r05LffRIuDiEiXlSu5kUqlMDAou4OVvr4+CgoKKh0UqZfyAH5MbqpSUqMWSPZoKn9y+jQQEyNuQEREOqhcXcEFQUBgYCCMjY1LfT0vL08tQZF6KQ/gx+7JVUoiwa1+w+H9w1fy57/+CsydK25MREQ6plzJzYQJE167TUBAQIWDoaphzgH8qtWt/iMUyU3y//4P//OfBLwY/2lOWyaXRERVrVzJzebNm6sqDqpCZmxQXK3SnV0R16YjXMIvwj7yDuzv3UJy4xZih0VEpDMqNLcUaRbztKIZqrNrO4gYie641a9oAtkWB/8UMRIiIt3D5EYHFC+5ybGtLWIkuuNOnyGQvmh83+zwLkAmEzkiIiLdweRGBxS2ucm1soHM0EjkaHRDrm1tRHWWD3ZpnfAILlfPiRwREZHuYHKjA8yfyEfKZXub6nWrf1HVVPODu0SMhIhItzC50XKGudkwys0BwAH8qts9n37INzUDADQ99hf0XkyBQUREVYvJjZYzSy3WmJglN9Xquak57voMAACYZjyFx+ljIkdERKQbmNxoOQ7gJ65bA4qqplru2yliJEREuoPJjZbjAH7iiurkgyw7eff7hqcOA8nJr9mDiIgqi8mNllMewI9j3FQ3wcAA/w4YDQDQLyiQT8dARERVismNljNPY8mN2G688WbRky1bRIuDiEhXMLnRcuacekF0Txo0weOW7eRPwsPlDyIiqjJMbrScWSobFNcENwaz9IaIqLowudFyLLmpGW75D0OBkbH8ybZtQD7HvCEiqipMbrRcYW+pPDNzFLwYUI6qX56VDe769Jc/SUkBDhwQNyAiIi3G5EbLFQ7il8NSG9EpVU1t3ixeIEREWo7JjRbTe54P04ynANhTqiaI7uwDODvLn+zfDyQmihoPEZG2YnKjxcyLTb3AkhvxCfr6QECA/IlUCmzdKm5ARERaismNFjNjY+KaJyioaHnjRkAQxIuFiEhLMbnRYuapSYplJjc1ROPGgI+PfPnuXSA0VMxoiIi0EpMbLVa8WoptbmqQ994rWt6wQbw4iIi0FJMbLaY0gB+Tm5pj2DDA7sWAin/+yck0iYjUjMmNFlMawM+WoxPXGMbGRW1vnj/niMVERGrG5EaLmacWnzSTM4LXKJMnFy1v2ADIZOLFQkSkZZjcaDEzdgWvuRo1Anr1ki/fv8+GxUREasTkRosVVksVGBkjz8JS5GiohOINi9evFy8OIiItw+RGixVWS2XXsgMkEpGjoRKGDgUcXlQX7t4NJCW9cnMiIlINkxttJZXC9OkTAKySqrGMjJQbFv/vf+LGQ0SkJZjcaKuUFOi9aKTKAfxqsHffLSpVW7sWKCgQNx4iIi1QI5KbH374AW5ubjAxMUGnTp1w8eLFMrfduHEjevToAVtbW9ja2sLPz++V2+usYlUcHMCvBmvQABg0SL4cFwfs3StuPEREWkD05GbHjh2YNWsWFi5ciCtXrsDT0xP+/v5IKqP9QWhoKMaOHYuQkBCcO3cOLi4u6Nu3Lx49elTNkddwxWacZslNDffBB0XL338vXhxERFpC9ORm5cqVmDx5MoKCgtC8eXOsW7cOZmZm2LRpU6nbb9u2DVOnTkWbNm3QtGlT/PTTT5DJZDh+/Hg1R17DFUtucmpxAL8azc8PaNZMvnzyJHDtmrjxEBFpOFGTm/z8fISFhcHPz0+xTk9PD35+fjh37pxKx8jJycHz589Rq1atUl/Py8tDRkaG0kMnFC+54QB+NZtEAkyfXvR8zRrxYiEi0gIGYp48JSUFUqkUjo6OSusdHR1x584dlY7x6aefwtnZWSlBKi44OBiLFy+udKwaR6nkhtVSNcWyqymlrp8TEADMnQtkZADbtgHLlwO1a1dzdERE2kH0aqnKWLZsGbZv347du3fDxMSk1G3mzp2L9PR0xSMuLq6aoxQJGxRrFgsL4J135MvPngE//SRuPEREGkzU5MbOzg76+vpILFbKAACJiYlwcnJ65b7ffvstli1bhiNHjqB169ZlbmdsbAwrKyulh05gg2LNM21aUbfwH35gt3AiogoSNbkxMjKCl5eXUmPgwsbBXbp0KXO/r7/+Gl9++SUOHTqE9u3bV0eomudFciPT10euta3IwZBKPDyAgQPly3FxwJ9/ihsPEZGGEr1aatasWdi4cSN+/vln3L59G1OmTEF2djaCXozcGhAQgLlz5yq2X758OebPn49NmzbBzc0NCQkJSEhIQFZWlliXUDO9SG5ybGsDeqJ/zKSqjz4qWv7mG0AQxIuFiEhDidqgGADGjBmD5ORkLFiwAAkJCWjTpg0OHTqkaGQcGxsLvWJ/nNeuXYv8/HyMHDlS6TgLFy7EokWLqjP0mksQFG1uWCWlYXx9gXbtgCtXgLAw+Wzhvr5iR0VEpFEkgqBb/xpmZGTA2toa6enp2tv+Ji0NeNE1/kFnH+z88XeRA6LXmdO22FhE27cDY8fKlwcMAPbvFycoIqIapDx/v1lfoY2KdwPnGDeaZ+RIoH59+fKBA8DNm+LGQ0SkYZjcaCOlnlIcnVjjGBgot7359lvxYiEi0kBMbrQRu4FrvnfeAWxs5MvbtgGPH4saDhGRJmFyo42KDeCXwwH8NJOFBTBlinz5+XNOqElEVA6i95aiKsCSG41T2rQMcz74AFixAsjPB378Efj0U8CWYxYREb0OS260EWcE1w516gAvxntCZiYn1CQiUhGTGy2x7GqK4nHvbtH8WZwRXMN9+imgry9fXrVKPrEmERG9EpMbLWT2JFmxnGPDmaU1mrs78Pbb8uW0NGDtWnHjISLSAExutJB5qjy5ybGpBZmhocjRUKV99lnRhJorVgDZ2eLGQ0RUwzG50TaCoEhuWCWlJRo3BsaMkS8nJwMbN4obDxFRDcfkRssYZWfB8FkuAPaU0iqffVa0/PXXwLNn4sVCRFTDMbnRMuapRWPcZNux5EZrtGoFDBsmX46PB376Sdx4iIhqMCY3WsY8pVhyw5Ib7fL550XLS5cCOTnixUJEVIMxudEyhe1tALa50Trt2hWV3iQkyAf2IyKiEpjcaBmlkhtOvaB9vvyyqOfUsmUc94aIqBRMbrQMS260XIsWwFtvyZefPJEP7EdEREqY3GgZ8ycsudF6ixYVjVq8YgWQmipqOERENQ0nztQy5k9YcqMtSp1Ms60d0LAhMHGifLybjAx51/Bly0SIkIioZmLJjZYpLLkRJBJOvaDN5s8HjIzky99/Dzx+LG48REQ1CJMbLVNYcpNjawfBgAVzWsvFBZgyRb6cmwssXChuPERENQiTG20iCIqSG45xowM+/xywspIvb9oE3LghbjxERDUEkxstYpyVAYPn+QA4OrFOsLMD5s2TL8tkwH/+I248REQ1BJMbLcLRiXXQhx8Crq7y5UOHgCNHxI2HiKgGYHKjRZTmlWJPKd1gYgIEBxc9nz0bkErFi4eIqAZgcqNFODqxjnrzTaB9e/nyjRvAli2ihkNEJDYmN1qEoxPrKD094Ntvi57Pm8dpGYhIpzG50SIsudFh3t5Fk2omJgKLF4sbDxGRiJjcaBGW3Oi4lSvlbXAAYPVq4OZNceMhIhIJkxstwnmldJybGzB3rnxZKpX3pBIEUUMiIhIDh7DVIoWjE8v09ZFrXUvkaKgqlDbfFPBizikA+OQTeYPiqCjgn3+AP/4ARo2qvgCJiGoAltxokcKSmxzb2hAKZ40m3WJqCqxaVfR81iwgO1u0cIiIxMDkRlvIZIo2N2xvo+MGDwb695cvP3zIxsVEpHOY3GgJk4yn0C8oAMDRiXWeRCJvUGxsLH++ciVw9aq4MRERVSMmN1rConhjYs4rRY0aySfWBOSNiydPBl4kv0RE2o7JjZYobEwMANm1mNwQ5BNptmwpXw4LA77/Xtx4iIiqCZMbLaHcDZzJDQEwMgI2bpRXUwHA/PnyXlRERFqOyY2WUCq54Rg3VKhzZ2DaNPlyTg4wZQrHviEircfkRkuw5IbK9NVXQL168uXDh4HNm8WNh4ioijG50RIWyQmK5Ux7JxEjoRrH0hJYt67o+cyZQHS0WNEQEVU5Jjdaonhyk8Xkhl42cCAwcaJ8OTNTviyTiRsTEVEVYXKjJQqTm3xTM+SbW4gcDdVI330HuLrKl0NCgP/+V9x4iIiqCJMbLWGRIk9usuydinrHEBVnZaXc3ubTT4GICPHiISKqIkxutEFWFkyyMuWLrJKiV+nVC/jgA/nys2fA+PFAfr64MRERqRmTG20QH69YZGNieq1ly4DGjeXLly4VjWRMRKQlmNxog8ePFYssuaHXMjMDfv0VMDSUP//mG3kXcSIiLcHkRhswuaHy8vICli8veh4QACQklL09EZEGYXKjDZjcUEXMnCnvIg4ASUny9jfsHk5EWoDJjTYontzYOYoYCGkUiUTee6pOHfnzY8fkoxkTEWk4JjfagA2KqaLs7YFt24qGD1iwADh0SNyYiIgqicmNNihWcpNtz5IbKidfX2DJEvmyIABvvQU8eCBuTERElcDkRhu8SG6eWVjiuam5yMGQRpozBxg6VL6clgYMHy6fRZyISAOJntz88MMPcHNzg4mJCTp16oSLFy+Wue3NmzcxYsQIuLm5QSKRYNWqVdUXaE0lCIrkJsuOVVK6atnVFJUeZdLTA37+uWj8m2vXgPffl3+/iIg0jKjJzY4dOzBr1iwsXLgQV65cgaenJ/z9/ZGUlFTq9jk5OWjQoAGWLVsGJyf+IQcgnwQxOxsAe0pRJVlZAbt3A+YvSv+2bgX4DwQRaSBRk5uVK1di8uTJCAoKQvPmzbFu3TqYmZlh06ZNpW7foUMHfPPNN3jzzTdhbGxczdHWUOwGTurUvDmwZUvR848/Bv7+W7RwiIgqQrTkJj8/H2FhYfDz8ysKRk8Pfn5+OHfunNrOk5eXh4yMDKWHVmFyQ+o2cqS81xQgr5YaOxa4elXcmIiIykG05CYlJQVSqRSOjsq9exwdHZGgxpFSg4ODYW1trXi4uLio7dg1glJyw55SpCaLFsmTGkBe7Tl4MPDokaghERGpSvQGxVVt7ty5SE9PVzzi4uLEDkm9iiU3HOOG1EYiATZtArp0kT9/9Eie4GRliRsXEZEKREtu7OzsoK+vj8TERKX1iYmJam0sbGxsDCsrK6WHVnn4ULHIailSKxMTYM8ewM1N/vzqVXmVVX6+mFEREb2WaMmNkZERvLy8cPz4ccU6mUyG48ePo0vhf4v0esVKojKc6okYCGklBwdg/37A2lr+/PBhYMIEzkFFRDWaqNVSs2bNwsaNG/Hzzz/j9u3bmDJlCrKzsxEUFAQACAgIwNy5cxXb5+fnIzw8HOHh4cjPz8ejR48QHh6O+/fvi3UJ4nuR3Mj09DivFFWN5s3lPaZMTOTPt28HPvyQY+AQUY1lIObJx4wZg+TkZCxYsAAJCQlo06YNDh06pGhkHBsbCz29ovzr8ePHaNu2reL5t99+i2+//Rbe3t4IDQ2t7vBrhhfJTZa9EwQDUT9O0gCvHMjvJXPa2hU96dED+P13+SjGUinwww+AnZ284TERUQ0jEQTd+vcrIyMD1tbWSE9P1/z2N8+eAaamAICHrTvgly0HRA6ItIlSclNo61YgIKDo+bffysfCISKqYuX5+631vaW0WrHGxJmOziIGQjpj/HjlUYtnzwa++060cIiISsPkRpMpNSauK2IgpFNmzAC+/LLo+axZnKaBiGoUJjearFhyw5Ibqlaffw4sXlz0/KOPgNWrxYuHiKgYJjeajN3ASUwLFig3KJ45U94Gh4hIZExuNBmrpUhsCxfKH4U++QT47DN2EyciUTG50WTFkxtWS5FYFi0Cliwpeh4cDEyZIu8yTkQkAiY3miw2Vv7TyAg5tqV02yWqJssGvIfDc5ZDkEjkK9avB8aN41QNRCQKJjearLDkpl49QI8fJYnr6uiJ+GvpOkgLB5PcsQPo1w9ISxM3MCLSOfyLqKkyM4H0dPmyi4u4sRC9cLvfcPy58v/w3PjFVA0hIfKZxSMjxQ2MiHQKx+vXVMXa2zC5oeqiyvQND7r3wW/rdyPgPxOApCQgIgLo1Ek+w3j37lUfJBHpPJbcaKqoqKJlNzfRwiAqzePW7YHz5+WTbgLAkydA797AL7+IGxgR6QSW3Giq4smNu7t4cZDWKs8km6VydwfOnAFGjQKOHZM3Lh4/Hrh0ST4ejqGhegIlInoJS240FZMb0gQ2NsCBA8C77xat+/57oFcvID5etLCISLux5EZTvZzcsEMK1TBKJT/vL4WnQ1P0/3qOvATn9GnAywv4/XegWzfxgiQircTkRlMVJjf6+vKu4GlPRQ2H6HWuDR+PpMYtMOyTIFglPgbi4yHz9sap9z/F+cAPIejrK20/py3HbiKiimG1lKYqTG5cXQED5qikGeJbtsPmX48jukMPAICeVArvH77Cm1NGwDLxscjREZG2YHKjidLSisa4YXsb0jC5tnbY8cNOnJn8MWQvBp+sf/kMJr7pg0YhB0SOjoi0Af/l10QPHhQtM7khDSQYGODUlDmI7tgTg+ZPhXXCI5imp2HExxNwY/AYHPt4CZZdVf14rMIiouJYcqOJ2FOKtEScV1ds2h6KO70HKda1+nsHJo3sjoYnDokYGRFpMiY3mojJDWmRPCsb7Pl6Ew4sWIVnFpYAAMuURIz8aDwGz3sfJk9TRY6QiDQNkxtNdP9+0XKDBuLFQaQuEgmuDx2H//1+Gve7+ylWtzj4JyaP6IZWf/0GyGQiBkhEmoTJjSa6e7douXFj8eIgUrNMR2f8sfpX7Pviv3hmaQ0AME9LwcBFH+LtdwbBIeKGyBESkSaQCIIgiB1EdcrIyIC1tTXS09NhZWUldjgVU7cu8PgxYGcHJCcDUMNQ+UQ1jHlyAvp88xmaHvtbsU6mp4croyfi1JQ5yHuR/JSFjYyJtEt5/n6z5EbTZGXJExsAaNJE3FiIqlC2vRP2fL0J23/8HU/qewAA9GQytN/+E94b0hHtf10Pvef5IkdJRDURkxtNwyop0jHRnX2waccJhE6fh+cmpgAAs6ep8Pv2c0we0Q1ND+8GdKsAmoheg8mNpime3LDkhnSE1MgY5yfOxMY/z+Lf/iMV620fRmPo3HcREOCP+hdPMckhIgBMbjQPS25Ih2XUqYd9S9di8y/HFFM4AIDzzasY+/5wjHtnMOpfOMEkh0jHMbnRNExuiJDY3BPb1/2JnWt+Q1LDZor1LuEXMHbKSLw9cSBw5AiTHCIdxeRG00REyH9KJEDDhuLGQiQmiQQPuvlh828h2PvVeqS4FyX79a5dAvz9gQ4dgN9+A54/FzFQIqpuTG40iUwG3LolX27QADA2FjceohpA0NfH7X7D8b+dJ7EneAOSGxRrixYWBrz1FuDhAaxYUTThLBFpNY5zo0nu3wcaNQIARPgOxO4VW8SNh6gmksnQ5PjfGLb9B+Cq8uybeeYWuP7GW7g6MhCp7o0U6zkmDlHNx3FutNX164rF5EbNRQyEqAbT00NEnyHyUpuQEGBQ0aScxtlZ6PDbBrw7oivemjwEzQ7vhn5+nojBElFVMBA7ACqHG0VDzyc3avaKDYkIEgng4yN/REQA332H51t+hmHeMwCAa9hZuIadRY5NbWDyRCAwEGjOfxqItAGrpTTJiBHArl0AgPV7ziPN1UPkgIg0i0l6Glru24G2f/6M2tH3S27Qrh0wfjwwdizg6Fji5bKmOWG1FlHVY7WUtnpRLZVvYoandd3EjYVIAz2ztsXlce9j459nsW3jHtzyHwapgWHRBleuAB99BFndukD//sC2bWyETKSBWC2lKbKygMhIAEBKw6YQ9PVFDohIg0kkiPPqhjivbjBNS0HzQ7vQcv/vqHMrHACgJ5UChw7JH0ZGgJ8fMGIETNy745lNLXFjJ6LXYnKjKa5fVwxIltyQ7W2I1CXX1g5hY99F2Nh3USvqHlru34kWB/6AdcJD+Qb5+cCBA8CBA/hQXx+xXt1w13cAIrv7Ib1ufXGDJ6JSMbnRFBcuKBbjm7cVMRAi7ZXq3ggnp8/DyalzMScnAvjjD3k7t4fyREdPKoXbxZNwu3gSWA6kuDXCg+5+QOAIoHt3jj1FVEOwzY2mOH9esfi4tZeIgRDpAD09oEcPYPVqICZG/vs3ezaevlRSYxd9Dx1/WSuvtqpdGxgyBPj+e3nPRplMpOCJiL2lNIWbGxATg3wTM3x3MhKCAQvdiKqdIMDh7r/wOH0MDc4cQ93rl6FXVhJjZyfvhu7rK380bSrvnk5EFVKev99MbjRBQgJQpw4AINarK37duFfkgIgIkHctdzsfCo+zx9HgzD8wT00ue2N7e6BLF/mjc2f5vFfm5lUWW1nd1l/GbuykKcrz95v//muC0FDF4qPW7cWLg4iUPLO2xR3/YbjjPwyQyeBw/xZcL51G/ctn4BJ2FiZZGUUbJycDf/0lfwCAvj7QujXQpQv+rtMSCc08kVrfQ9ETkkkHUcUxudEEx48rFmM69BAxECIqk54ekhq3RFLjlrg87n1IpFI4RPyL+pdPw/XyadS9fhmmGU+LtpdK5XNfXb2KwS9W5ZuYIblRcyQ2bQX07Qq0bQu0bMmGykTlxGopTdCgARAVBRgZ4duQeygwNRM7IiIqL5kMtWIiUff6JdS9fhnONy7DPvIOJK+5BUsNDPDErTFSPJqgebe28ikiWrSQz3RuaKhy9VNZWEJEmoLVUtrk/n15YgMAXbsysSHSVHp6SHVvhFT3Rrgx5C0AgFFWJurcvALnf6/AMeIGHO/cgO3DaKXd9AsK4HD/Fhzu3wIO71aslxoY4olbQwxxb4yUBk2Q5toAqa4NkObijjwrm2q8sNKVlnQxkaLqwuSmpttddDODv794cRCR2uVbWCKmkzdiOnkr1hlnZsDhrjzRcbpzAw4RN1A7+h70CwqU9tUveA6H+7fhcP92iePmWtsizcVd/qjnjjTXBkir54YMZxdk1XaQd3V/oTwlP6UlJ+XZnwkPVRcmNzXd778XLY8YAWSJFwoRVb08SyvF1BCF9J4/h23cA9g9iIBdZIT854MI1IqJhH7B8xLHME1Pg2l6Gpz/vVLiNamBITKc6sofdeohw6ke0p3qIqOOCzKc6iHD0ZklxKTxmNzUZA8eAJcuyZc9PYFGjYBK1q8TkeaRGRriSYMmeNKgCSL8itbLk54o1I6+B5u4KNgWe1glPiq1PY9+wXPYPowuUf1V3DMLK2TZOSLL3glZdo7ItnNElr0j9h56sfzikW9uwbF7qEZiclOT/fhj0fKbb4oXBxHVSPKkpzGeNGhc4jX9vGeweRQL27gHsI2Lgk1cFKwTHsEq4RGsEh7CJLPs2c5NsjJgkpUBu+h7rzx/vokZcm1rI8emFnJsayPXpvaLn7WQY1Nb8Vrh+mdWNpz0l6oFe0vVVJmZgIsLkJ4u7wYaFwfY21e6ZwQRESBvzGyV8BBWCQ9hHf/wxfIjWMU/hEVKIsxTkmD0LEet5xQkEjyztMYzKxvFI9fKBunOLjjx4QKlbdkWh17G3lLa4Msv5YkNALz1lnx0UyIiNcm3sERKw2ZIadis9A0EAUbZWbBISXyR7Mh/WiQXLZs/SYLZ01SYPn1S9jQUxUgEAaYZT5XH+wHwxK1hieSmJmKDaM1RI5KbH374Ad988w0SEhLg6emJNWvWoGPHjmVu//vvv2P+/PmIjo5Go0aNsHz5cgwYMKAaI65ip04Bq1bJl42Ngc8/FzUcItJBEgnyLSyRamGJVLeGr95WJoNJZjrM0p7A9OkTecKTlvIi8UmFWVrKi59PYPIiuTHOTFckRLlWttVwQaRLRE9uduzYgVmzZmHdunXo1KkTVq1aBX9/f0RERMDBwaHE9mfPnsXYsWMRHByMQYMG4ddff8XQoUNx5coVtGzZUoQrUCOZDPjjD+Ddd4HnL3pAfPqpfBA/IqKaSk8Pz6xt8czaFsBrEqFCMhmMszNhkvEUEqm0wqcuq6pe1W7rZZW8VLYJAEt5xCV6crNy5UpMnjwZQUFBAIB169Zh//792LRpE+bMmVNi+9WrV6Nfv3745JNPAABffvkljh49iv/+979Yt25dtcauZPNm4OBBeYIikwGCUL5lqRSIiACePCk6Zt++LLUhIu2kp4c8S2vkWVqLHQlpIVGTm/z8fISFhWHu3LmKdXp6evDz88O5c+dK3efcuXOYNWuW0jp/f3/s2bOn1O3z8vKQl5eneJ7+oh1LRkZGqdtX2IULymPSVNbgwcDatUBurvzxwrOsTPWdg4iohsrIMCqxbuW1J6VsWbpFp1S7V5Z2HkD1e2159i8tplmetVU6T3Ur7b0uLdayPpOquK7Cv9uq9IMSNblJSUmBVCqFo6Oj0npHR0fcuXOn1H0SEhJK3T4hIaHU7YODg7F48eIS611cXCoYdTX5+2/5g4hIB5W8a9fM84i9f3UqT6xVeV2ZmZmwtn51iZ/o1VJVbe7cuUolPTKZDKmpqahduzYkah58KiMjAy4uLoiLi6vZ3cwrQJuvDeD1aTJtvjZAu69Pm68N4PWpmyAIyMzMhLOz82u3FTW5sbOzg76+PhITE5XWJyYmwsnJqdR9nJycyrW9sbExjI2NldbZ2NhUPGgVWFlZaeUXGdDuawN4fZpMm68N0O7r0+ZrA3h96vS6EptCeq/fpOoYGRnBy8sLx48fV6yTyWQ4fvw4unTpUuo+Xbp0UdoeAI4ePVrm9kRERKRbRK+WmjVrFiZMmID27dujY8eOWLVqFbKzsxW9pwICAlC3bl0EBwcDAGbMmAFvb2+sWLECAwcOxPbt23H58mVs2LBBzMsgIiKiGkL05GbMmDFITk7GggULkJCQgDZt2uDQoUOKRsOxsbHQ0ysqYOratSt+/fVXfP755/jss8/QqFEj7Nmzp0aMcWNsbIyFCxeWqAbTBtp8bQCvT5Np87UB2n192nxtAK9PTDo3txQRERFpN1Hb3BARERGpG5MbIiIi0ipMboiIiEirMLkhIiIircLkRk1++OEHuLm5wcTEBJ06dcLFixfFDkltTp48icGDB8PZ2RkSiaTMebw0UXBwMDp06ABLS0s4ODhg6NChiIiIEDsstVi7di1at26tGGCrS5cuOHjwoNhhVZlly5ZBIpFg5syZYoeiFosWLYJEIlF6NG3aVOyw1ObRo0d4++23Ubt2bZiamqJVq1a4fPmy2GGphZubW4nPTiKRYNq0aWKHVmlSqRTz58+Hu7s7TE1N4eHhgS+//FKl+Z6qE5MbNdixYwdmzZqFhQsX4sqVK/D09IS/vz+SkpLEDk0tsrOz4enpiR9++EHsUNTuxIkTmDZtGs6fP4+jR4/i+fPn6Nu3L7Kzs8UOrdLq1auHZcuWISwsDJcvX0avXr0wZMgQ3Lx5U+zQ1O7SpUtYv349WrduLXYoatWiRQvEx8crHqdPnxY7JLVIS0tDt27dYGhoiIMHD+LWrVtYsWIFbG1txQ5NLS5duqT0uR09ehQAMGrUKJEjq7zly5dj7dq1+O9//4vbt29j+fLl+Prrr7FmzRqxQ1MmUKV17NhRmDZtmuK5VCoVnJ2dheDgYBGjqhoAhN27d4sdRpVJSkoSAAgnTpwQO5QqYWtrK/z0009ih6FWmZmZQqNGjYSjR48K3t7ewowZM8QOSS0WLlwoeHp6ih1Glfj000+F7t27ix1GtZkxY4bg4eEhyGQysUOptIEDBwoTJ05UWjd8+HBh3LhxIkVUOpbcVFJ+fj7CwsLg5+enWKenpwc/Pz+cO3dOxMioItLT0wEAtWrVEjkS9ZJKpdi+fTuys7O1bqqSadOmYeDAgUq/g9ri3r17cHZ2RoMGDTBu3DjExsaKHZJa/PXXX2jfvj1GjRoFBwcHtG3bFhs3bhQ7rCqRn5+PX375BRMnTlT7ZM1i6Nq1K44fP467d+8CAK5du4bTp0+jf//+IkemTPQRijVdSkoKpFKpYkTlQo6Ojrhz545IUVFFyGQyzJw5E926dasRI16rw40bN9ClSxc8e/YMFhYW2L17N5o3by52WGqzfft2XLlyBZcuXRI7FLXr1KkTtmzZgiZNmiA+Ph6LFy9Gjx498O+//8LS0lLs8CrlwYMHWLt2LWbNmoXPPvsMly5dwocffggjIyNMmDBB7PDUas+ePXj69CkCAwPFDkUt5syZg4yMDDRt2hT6+vqQSqVYunQpxo0bJ3ZoSpjcEL0wbdo0/Pvvv1rTrgEAmjRpgvDwcKSnp+OPP/7AhAkTcOLECa1IcOLi4jBjxgwcPXoUJiYmYoejdsX/E27dujU6deqE+vXrY+fOnXjnnXdEjKzyZDIZ2rdvj6+++goA0LZtW/z7779Yt26d1iU3//vf/9C/f384OzuLHYpa7Ny5E9u2bcOvv/6KFi1aIDw8HDNnzoSzs3ON+uyY3FSSnZ0d9PX1kZiYqLQ+MTERTk5OIkVF5TV9+nTs27cPJ0+eRL169cQOR22MjIzQsGFDAICXlxcuXbqE1atXY/369SJHVnlhYWFISkpCu3btFOukUilOnjyJ//73v8jLy4O+vr6IEaqXjY0NGjdujPv374sdSqXVqVOnRILdrFkz/PnnnyJFVDViYmJw7Ngx7Nq1S+xQ1OaTTz7BnDlz8OabbwIAWrVqhZiYGAQHB9eo5IZtbirJyMgIXl5eOH78uGKdTCbD8ePHta5tgzYSBAHTp0/H7t278c8//8Dd3V3skKqUTCZDXl6e2GGoRe/evXHjxg2Eh4crHu3bt8e4ceMQHh6uVYkNAGRlZSEyMhJ16tQRO5RK69atW4khF+7evYv69euLFFHV2Lx5MxwcHDBw4ECxQ1GbnJwcpcmsAUBfXx8ymUykiErHkhs1mDVrFiZMmID27dujY8eOWLVqFbKzsxEUFCR2aGqRlZWl9N9iVFQUwsPDUatWLbi6uooYWeVNmzYNv/76K/bu3QtLS0skJCQAAKytrWFqaipydJUzd+5c9O/fH66ursjMzMSvv/6K0NBQHD58WOzQ1MLS0rJE2yhzc3PUrl1bK9pMzZ49G4MHD0b9+vXx+PFjLFy4EPr6+hg7dqzYoVXaRx99hK5du+Krr77C6NGjcfHiRWzYsAEbNmwQOzS1kclk2Lx5MyZMmAADA+35Uzt48GAsXboUrq6uaNGiBa5evYqVK1di4sSJYoemTOzuWtpizZo1gqurq2BkZCR07NhROH/+vNghqU1ISIgAoMRjwoQJYodWaaVdFwBh8+bNYodWaRMnThTq168vGBkZCfb29kLv3r2FI0eOiB1WldKmruBjxowR6tSpIxgZGQl169YVxowZI9y/f1/ssNTm77//Flq2bCkYGxsLTZs2FTZs2CB2SGp1+PBhAYAQEREhdihqlZGRIcyYMUNwdXUVTExMhAYNGgjz5s0T8vLyxA5NiUQQatiwgkRERESVwDY3REREpFWY3BAREZFWYXJDREREWoXJDREREWkVJjdERESkVZjcEBERkVZhckNERERahckNERERaRUmN0Sk8UJDQyGRSPD06VOV91m0aBHatGlTZTERkXiY3BBRtVq3bh0sLS1RUFCgWJeVlQVDQ0P4+PgobVuYtERGRr7ymF27dkV8fDysra3VGquPjw9mzpyp1mMSUdVjckNE1crX1xdZWVm4fPmyYt2pU6fg5OSECxcu4NmzZ4r1ISEhcHV1hYeHxyuPaWRkBCcnJ0gkkiqLm4g0B5MbIqpWTZo0QZ06dRAaGqpYFxoaiiFDhsDd3R3nz59XWu/r6wuZTIbg4GC4u7vD1NQUnp6e+OOPP5S2e7laauPGjXBxcYGZmRmGDRuGlStXwsbGpkQ8W7duhZubG6ytrfHmm28iMzMTABAYGIgTJ05g9erVkEgkkEgkiI6OVvfbQURVgMkNEVU7X19fhISEKJ6HhITAx8cH3t7eivW5ubm4cOECfH19ERwcjP/7v//DunXrcPPmTXz00Ud4++23ceLEiVKPf+bMGbz//vuYMWMGwsPD0adPHyxdurTEdpGRkdizZw/27duHffv24cSJE1i2bBkAYPXq1ejSpQsmT56M+Ph4xMfHw8XFpQreDSJSNwOxAyAi3ePr64uZM2eioKAAubm5uHr1Kry9vfH8+XOsW7cOAHDu3Dnk5eXBx8cHzZs3x7Fjx9ClSxcAQIMGDXD69GmsX78e3t7eJY6/Zs0a9O/fH7NnzwYANG7cGGfPnsW+ffuUtpPJZNiyZQssLS0BAOPHj8fx48exdOlSWFtbw8jICGZmZnBycqrKt4OI1IzJDRFVOx8fH2RnZ+PSpUtIS0tD48aNYW9vD29vbwQFBeHZs2cIDQ1FgwYNkJWVhZycHPTp00fpGPn5+Wjbtm2px4+IiMCwYcOU1nXs2LFEcuPm5qZIbACgTp06SEpKUtNVEpFYmNwQUbVr2LAh6tWrh5CQEKSlpSlKX5ydneHi4oKzZ88iJCQEvXr1QlZWFgBg//79qFu3rtJxjI2NKxWHoaGh0nOJRAKZTFapYxKR+JjcEJEofH19ERoairS0NHzyySeK9T179sTBgwdx8eJFTJkyBc2bN4exsTFiY2NLrYIqTZMmTXDp0iWldS8/V4WRkRGkUmm59yMicTG5ISJR+Pr6Ytq0aXj+/LlS0uLt7Y3p06cjPz8fvr6+sLS0xOzZs/HRRx9BJpOhe/fuSE9Px5kzZ2BlZYUJEyaUOPYHH3yAnj17YuXKlRg8eDD++ecfHDx4sNxdxd3c3HDhwgVER0fDwsICtWrVgp4e+2EQ1XT8LSUiUfj6+iI3NxcNGzaEo6OjYr23tzcyMzMVXcYB4Msvv8T8+fMRHByMZs2aoV+/fti/fz/c3d1LPXa3bt2wbt06rFy5Ep6enjh06BA++ugjmJiYlCvG2bNnQ19fH82bN4e9vT1iY2MrfsFEVG0kgiAIYgdBRFTVJk+ejDt37uDUqVNih0JEVYzVUkSklb799lv06dMH5ubmOHjwIH7++Wf8+OOPYodFRNWAJTdEpJVGjx6N0NBQZGZmokGDBvjggw/w/vvvix0WEVUDJjdERESkVdigmIiIiLQKkxsiIiLSKkxuiIiISKswuSEiIiKtwuSGiIiItAqTGyIiItIqTG6IiIhIqzC5ISIiIq3y/9RLq8amN/7XAAAAAElFTkSuQmCC"},"metadata":{}}],"execution_count":91},{"cell_type":"markdown","source":"## Distribution des features","metadata":{}},{"cell_type":"code","source":"features = ['feature_' + str(x).zfill(2) for x in range(78+1)]","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-10-19T14:36:10.360279Z","iopub.execute_input":"2024-10-19T14:36:10.360861Z","iopub.status.idle":"2024-10-19T14:36:10.367215Z","shell.execute_reply.started":"2024-10-19T14:36:10.360813Z","shell.execute_reply":"2024-10-19T14:36:10.365923Z"}},"outputs":[],"execution_count":8},{"cell_type":"code","source":"train[features].describe()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-10-19T14:36:12.118054Z","iopub.execute_input":"2024-10-19T14:36:12.118537Z","iopub.status.idle":"2024-10-19T14:36:39.941247Z","shell.execute_reply.started":"2024-10-19T14:36:12.118494Z","shell.execute_reply":"2024-10-19T14:36:39.940049Z"}},"outputs":[{"execution_count":9,"output_type":"execute_result","data":{"text/plain":"         feature_00    feature_01    feature_02    feature_03    feature_04  \\\ncount  4.603278e+06  4.603278e+06  4.603278e+06  4.603278e+06  4.603278e+06   \nmean   3.984682e-01  7.931650e-03  4.013595e-01  4.003044e-01 -1.332048e-02   \nstd    1.134113e+00  9.354421e-01  1.135869e+00  1.134982e+00  9.407164e-01   \nmin   -4.156833e+00 -5.741592e+00 -3.636927e+00 -3.943468e+00 -4.047347e+00   \n25%   -3.759366e-01 -6.010731e-01 -3.704467e-01 -3.721927e-01 -6.445930e-01   \n50%    4.186588e-01 -2.334246e-02  4.209384e-01  4.198914e-01 -1.839081e-02   \n75%    1.273689e+00  5.939859e-01  1.275178e+00  1.274124e+00  6.106164e-01   \nmax    4.194370e+00  4.326710e+00  4.180225e+00  4.145897e+00  4.115089e+00   \n\n         feature_05    feature_06    feature_07    feature_08    feature_09  \\\ncount  7.785330e+06  7.785330e+06  7.785330e+06  7.768350e+06  7.785330e+06   \nmean   1.082425e-02  9.513865e-05  2.468636e-03 -2.973221e-02  3.238484e+01   \nstd    1.031336e+00  1.039018e+00  1.054681e+00  9.155596e-01  2.535469e+01   \nmin   -2.042582e+01 -4.227705e+01 -2.580847e+01 -1.164264e+01  2.000000e+00   \n25%   -4.668448e-01 -3.992588e-01 -4.419857e-01 -4.761748e-01  1.100000e+01   \n50%   -2.732333e-02 -1.175776e-02 -2.653819e-02  1.252510e-02  1.500000e+01   \n75%    4.278495e-01  3.727527e-01  3.975729e-01  4.529944e-01  5.000000e+01   \nmax    3.218666e+01  5.294058e+01  3.051925e+01  1.306878e+01  8.100000e+01   \n\n       ...    feature_69    feature_70    feature_71    feature_72  \\\ncount  ...  7.785330e+06  7.785330e+06  7.785330e+06  7.785330e+06   \nmean   ...  2.221766e-02  3.233520e-03  1.505560e-02  2.459085e-02   \nstd    ...  9.759194e-01  1.001994e+00  1.086817e+00  1.025297e+00   \nmin    ... -1.321859e+00 -1.781232e+00 -8.028250e-01 -1.401122e+00   \n25%    ... -4.282587e-01 -5.068083e-01 -3.724507e-01 -4.729090e-01   \n50%    ... -2.155495e-01 -2.038194e-01 -2.579231e-01 -2.171911e-01   \n75%    ...  1.489122e-01  2.380685e-01  2.714887e-02  2.039572e-01   \nmax    ...  7.241835e+01  6.375872e+01  7.355929e+02  2.162629e+02   \n\n         feature_73    feature_74    feature_75    feature_76    feature_77  \\\ncount  7.698391e+06  7.698391e+06  7.785076e+06  7.785076e+06  7.785330e+06   \nmean  -2.746868e-02 -2.401636e-02 -2.435778e-02 -2.134614e-02 -2.544500e-02   \nstd    8.579233e-01  8.587341e-01  8.979192e-01  8.955136e-01  8.572940e-01   \nmin   -4.542807e+00 -4.131543e+00 -4.402279e+00 -4.358447e+00 -4.386680e+00   \n25%   -3.477312e-01 -3.485758e-01 -3.007153e-01 -3.094071e-01 -3.070532e-01   \n50%   -2.373977e-01 -2.220941e-01 -2.410963e-01 -2.294884e-01 -2.250640e-01   \n75%    4.859999e-02  5.910515e-02 -1.126668e-01 -8.739543e-02  1.277775e-02   \nmax    9.429265e+01  9.048981e+01  1.033233e+02  1.173967e+02  1.479860e+02   \n\n         feature_78  \ncount  7.785330e+06  \nmean  -2.224934e-02  \nstd    8.534587e-01  \nmin   -4.035309e+00  \n25%   -3.098256e-01  \n50%   -2.104944e-01  \n75%    2.418050e-02  \nmax    1.332677e+02  \n\n[8 rows x 79 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>feature_00</th>\n      <th>feature_01</th>\n      <th>feature_02</th>\n      <th>feature_03</th>\n      <th>feature_04</th>\n      <th>feature_05</th>\n      <th>feature_06</th>\n      <th>feature_07</th>\n      <th>feature_08</th>\n      <th>feature_09</th>\n      <th>...</th>\n      <th>feature_69</th>\n      <th>feature_70</th>\n      <th>feature_71</th>\n      <th>feature_72</th>\n      <th>feature_73</th>\n      <th>feature_74</th>\n      <th>feature_75</th>\n      <th>feature_76</th>\n      <th>feature_77</th>\n      <th>feature_78</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>count</th>\n      <td>4.603278e+06</td>\n      <td>4.603278e+06</td>\n      <td>4.603278e+06</td>\n      <td>4.603278e+06</td>\n      <td>4.603278e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.768350e+06</td>\n      <td>7.785330e+06</td>\n      <td>...</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.698391e+06</td>\n      <td>7.698391e+06</td>\n      <td>7.785076e+06</td>\n      <td>7.785076e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n    </tr>\n    <tr>\n      <th>mean</th>\n      <td>3.984682e-01</td>\n      <td>7.931650e-03</td>\n      <td>4.013595e-01</td>\n      <td>4.003044e-01</td>\n      <td>-1.332048e-02</td>\n      <td>1.082425e-02</td>\n      <td>9.513865e-05</td>\n      <td>2.468636e-03</td>\n      <td>-2.973221e-02</td>\n      <td>3.238484e+01</td>\n      <td>...</td>\n      <td>2.221766e-02</td>\n      <td>3.233520e-03</td>\n      <td>1.505560e-02</td>\n      <td>2.459085e-02</td>\n      <td>-2.746868e-02</td>\n      <td>-2.401636e-02</td>\n      <td>-2.435778e-02</td>\n      <td>-2.134614e-02</td>\n      <td>-2.544500e-02</td>\n      <td>-2.224934e-02</td>\n    </tr>\n    <tr>\n      <th>std</th>\n      <td>1.134113e+00</td>\n      <td>9.354421e-01</td>\n      <td>1.135869e+00</td>\n      <td>1.134982e+00</td>\n      <td>9.407164e-01</td>\n      <td>1.031336e+00</td>\n      <td>1.039018e+00</td>\n      <td>1.054681e+00</td>\n      <td>9.155596e-01</td>\n      <td>2.535469e+01</td>\n      <td>...</td>\n      <td>9.759194e-01</td>\n      <td>1.001994e+00</td>\n      <td>1.086817e+00</td>\n      <td>1.025297e+00</td>\n      <td>8.579233e-01</td>\n      <td>8.587341e-01</td>\n      <td>8.979192e-01</td>\n      <td>8.955136e-01</td>\n      <td>8.572940e-01</td>\n      <td>8.534587e-01</td>\n    </tr>\n    <tr>\n      <th>min</th>\n      <td>-4.156833e+00</td>\n      <td>-5.741592e+00</td>\n      <td>-3.636927e+00</td>\n      <td>-3.943468e+00</td>\n      <td>-4.047347e+00</td>\n      <td>-2.042582e+01</td>\n      <td>-4.227705e+01</td>\n      <td>-2.580847e+01</td>\n      <td>-1.164264e+01</td>\n      <td>2.000000e+00</td>\n      <td>...</td>\n      <td>-1.321859e+00</td>\n      <td>-1.781232e+00</td>\n      <td>-8.028250e-01</td>\n      <td>-1.401122e+00</td>\n      <td>-4.542807e+00</td>\n      <td>-4.131543e+00</td>\n      <td>-4.402279e+00</td>\n      <td>-4.358447e+00</td>\n      <td>-4.386680e+00</td>\n      <td>-4.035309e+00</td>\n    </tr>\n    <tr>\n      <th>25%</th>\n      <td>-3.759366e-01</td>\n      <td>-6.010731e-01</td>\n      <td>-3.704467e-01</td>\n      <td>-3.721927e-01</td>\n      <td>-6.445930e-01</td>\n      <td>-4.668448e-01</td>\n      <td>-3.992588e-01</td>\n      <td>-4.419857e-01</td>\n      <td>-4.761748e-01</td>\n      <td>1.100000e+01</td>\n      <td>...</td>\n      <td>-4.282587e-01</td>\n      <td>-5.068083e-01</td>\n      <td>-3.724507e-01</td>\n      <td>-4.729090e-01</td>\n      <td>-3.477312e-01</td>\n      <td>-3.485758e-01</td>\n      <td>-3.007153e-01</td>\n      <td>-3.094071e-01</td>\n      <td>-3.070532e-01</td>\n      <td>-3.098256e-01</td>\n    </tr>\n    <tr>\n      <th>50%</th>\n      <td>4.186588e-01</td>\n      <td>-2.334246e-02</td>\n      <td>4.209384e-01</td>\n      <td>4.198914e-01</td>\n      <td>-1.839081e-02</td>\n      <td>-2.732333e-02</td>\n      <td>-1.175776e-02</td>\n      <td>-2.653819e-02</td>\n      <td>1.252510e-02</td>\n      <td>1.500000e+01</td>\n      <td>...</td>\n      <td>-2.155495e-01</td>\n      <td>-2.038194e-01</td>\n      <td>-2.579231e-01</td>\n      <td>-2.171911e-01</td>\n      <td>-2.373977e-01</td>\n      <td>-2.220941e-01</td>\n      <td>-2.410963e-01</td>\n      <td>-2.294884e-01</td>\n      <td>-2.250640e-01</td>\n      <td>-2.104944e-01</td>\n    </tr>\n    <tr>\n      <th>75%</th>\n      <td>1.273689e+00</td>\n      <td>5.939859e-01</td>\n      <td>1.275178e+00</td>\n      <td>1.274124e+00</td>\n      <td>6.106164e-01</td>\n      <td>4.278495e-01</td>\n      <td>3.727527e-01</td>\n      <td>3.975729e-01</td>\n      <td>4.529944e-01</td>\n      <td>5.000000e+01</td>\n      <td>...</td>\n      <td>1.489122e-01</td>\n      <td>2.380685e-01</td>\n      <td>2.714887e-02</td>\n      <td>2.039572e-01</td>\n      <td>4.859999e-02</td>\n      <td>5.910515e-02</td>\n      <td>-1.126668e-01</td>\n      <td>-8.739543e-02</td>\n      <td>1.277775e-02</td>\n      <td>2.418050e-02</td>\n    </tr>\n    <tr>\n      <th>max</th>\n      <td>4.194370e+00</td>\n      <td>4.326710e+00</td>\n      <td>4.180225e+00</td>\n      <td>4.145897e+00</td>\n      <td>4.115089e+00</td>\n      <td>3.218666e+01</td>\n      <td>5.294058e+01</td>\n      <td>3.051925e+01</td>\n      <td>1.306878e+01</td>\n      <td>8.100000e+01</td>\n      <td>...</td>\n      <td>7.241835e+01</td>\n      <td>6.375872e+01</td>\n      <td>7.355929e+02</td>\n      <td>2.162629e+02</td>\n      <td>9.429265e+01</td>\n      <td>9.048981e+01</td>\n      <td>1.033233e+02</td>\n      <td>1.173967e+02</td>\n      <td>1.479860e+02</td>\n      <td>1.332677e+02</td>\n    </tr>\n  </tbody>\n</table>\n<p>8 rows × 79 columns</p>\n</div>"},"metadata":{}}],"execution_count":9},{"cell_type":"code","source":"for f in features:\n    if f != 'feature_21' and f!= 'feature_26':\n        plt.figure(figsize=(8,3))\n        plt.hist(train[f], bins=100, color='red')\n        plt.title(f)\n        plt.grid()\n        plt.show()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-10-19T13:46:45.232275Z","iopub.execute_input":"2024-10-19T13:46:45.233536Z","iopub.status.idle":"2024-10-19T13:47:29.886544Z","shell.execute_reply.started":"2024-10-19T13:46:45.233468Z","shell.execute_reply":"2024-10-19T13:47:29.883241Z"},"_kg_hide-output":true,"collapsed":true,"jupyter":{"outputs_hidden":true}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 800x300 with 1 Axes>","image/png":"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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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fh/fmqZ37969+vvf/67WrVu77E9MTFRpaakKCwvNsY0bN6q6uloJCQlmTF5ensuaDbvdrksvvVSRkZFmzIYNG1yObbfblZiYKEmKj49XTEyMS0xZWZkKCgrMGADwC2e6LRkAwKMa3PgePXpURUVFKioqknTyQ2RFRUXav3+/nE6nbr31Vm3dulUrVqxQVVWVHA6HHA6HKisrJUndunXT0KFDNW7cOG3evFmffPKJMjMzNWrUKMXGxkqS7rjjDgUFBSk9PV27du3SqlWrNH/+fJdlCBMmTFBOTo7mzJmjPXv2aNq0adq6dasyMzMlSTabTRMnTtTjjz+udevWaceOHbrzzjsVGxur1NTUcywbAAAAGpsGL3XYunWrBg0aZG7XNKNpaWmaNm2a1q1bJ0m1lhN88MEHGjhwoCRpxYoVyszM1ODBgxUQEKARI0ZowYIFZmxERIRyc3OVkZGh3r17q02bNsrOzna512///v21cuVKTZkyRY888oguueQSrV27VpdffrkZ8+CDD6q8vFzjx49XaWmpBgwYoJycHIWEhDT0sgEAANDINbjxHThwoIw61oHVta9GVFSUVq5cWWdMz5499fHHH9cZM3LkSI0cOfKM+202m6ZPn67p06efNScAAAA0bV6/jy8AAI2Su3XWFvkAINBU0fgCAE460wfqaPb+DzUCGjUaXwCAtXEHDcAyPH47MwAAAMAfMeMLAOcTs4sA4DM0vgAAnCvW/gKNAksdAADWEBHxf//lG/IAS6LxBQAAgCWw1AEAUDfuZwugiWDGFwDQ9Jy6lIElDQB+xowvAADewmw54FeY8QUAAIAlMOMLAN7AW+sA4HdofAEADcd9awE0Qix1AAAAgCUw4wsAaLxYUgKgAZjxBQAAgCUw4wsAwPnE+mjAZ2h8AQCe462mjiUNADyApQ4AAACwBBpfAAAAWAJLHQDgXPAWPAA0GjS+AADvc/cPhDOt++UfEwC8hMYXAOAbNLgAzjPW+AIAAMASGtz45uXl6cYbb1RsbKxsNpvWrl3rst8wDGVnZ6tdu3YKDQ1VUlKS9u7d6xJTUlKi0aNHKzw8XK1atVJ6erqOHj3qEvPZZ5/pmmuuUUhIiOLi4jRr1qxauaxevVpdu3ZVSEiIevTooXfffbfBuQAAAMAaGtz4lpeX64orrtDixYvd7p81a5YWLFigJUuWqKCgQM2bN1dKSopOnDhhxowePVq7du2S3W7X+vXrlZeXp/Hjx5v7y8rKlJycrE6dOqmwsFCzZ8/WtGnT9OKLL5oxmzZt0u2336709HRt375dqampSk1N1c6dOxuUCwAAACzCOAeSjDVr1pjb1dXVRkxMjDF79mxzrLS01AgODjZeffVVwzAMY/fu3YYkY8uWLWbMe++9Z9hsNuPAgQOGYRjGc889Z0RGRhoVFRVmzEMPPWRceuml5vZtt91mDB8+3CWfhIQE45577ql3Lmdz5MgRQ5Jx5MiResX/EpWVlcbatWuNyspKr52jsaEm7lEX93xel5Mf0fKrR2Vo6MmahIb6PBd/evh9XXzE53+H/BA1cc9f69KQfs2jH27bt2+fHA6HkpKSzLGIiAglJCQoPz9fo0aNUn5+vlq1aqU+ffqYMUlJSQoICFBBQYFuueUW5efn69prr1VQUJAZk5KSoqefflqHDx9WZGSk8vPzlZWV5XL+lJQUc+lFfXI5XUVFhSoqKsztsrIySZLT6ZTT6Ty34pxBzXG9dfzGiJq4R13c83ldQkN9c946OH/OyemHufmS39fFRz/DPv875IeoiXv+WpeG5OPRxtfhcEiSoqOjXcajo6PNfQ6HQ23btnVN4oILFBUV5RITHx9f6xg1+yIjI+VwOM56nrPlcrqZM2fqscceqzWem5ursLCwM1y1Z9jtdq8evzGiJu5RF/d8VpdXX/XNeevBvnSpr1PwS35bl9M+p3K+8dpSGzVxz9/qcuzYsXrHcjuzU0yePNllFrmsrExxcXFKTk5WeHi4V87pdDplt9s1ZMgQBQYGeuUcjQ01cY+6uOfzukREnP9znoUzNFT2pUs1ZOxYBR4/7ut0/EajrMuRI14/hc//DvkhauKev9al5h36+vBo4xsTEyNJKi4uVrt27czx4uJi9erVy4w5dOiQy/N++uknlZSUmM+PiYlRcXGxS0zN9tliTt1/tlxOFxwcrODg4FrjgYGBXv8DPh/naGyoiXvUxT2f1cWPG6jA48cbT4N3HjWqupzHn2leW2qjJu75W10akotH7+MbHx+vmJgYbdiwwRwrKytTQUGBEhMTJUmJiYkqLS1VYWGhGbNx40ZVV1crISHBjMnLy3NZs2G323XppZcqMjLSjDn1PDUxNeepTy4AAACwjgY3vkePHlVRUZGKiooknfwQWVFRkfbv3y+bzaaJEyfq8ccf17p167Rjxw7deeedio2NVWpqqiSpW7duGjp0qMaNG6fNmzfrk08+UWZmpkaNGqXY2FhJ0h133KGgoCClp6dr165dWrVqlebPn++yDGHChAnKycnRnDlztGfPHk2bNk1bt25VZmamJNUrFwBoEJut9gMA0Gg0eKnD1q1bNWjQIHO7phlNS0vT8uXL9eCDD6q8vFzjx49XaWmpBgwYoJycHIWEhJjPWbFihTIzMzV48GAFBARoxIgRWrBggbk/IiJCubm5ysjIUO/evdWmTRtlZ2e73Ou3f//+WrlypaZMmaJHHnlEl1xyidauXavLL7/cjKlPLgAAALCGBje+AwcOlGEYZ9xvs9k0ffp0TZ8+/YwxUVFRWrlyZZ3n6dmzpz7++OM6Y0aOHKmRI0eeUy4AAACwBo+u8QUAAAD8FY0vAAAALIHGFwAAAJZA4wsAAABLoPEFAACAJdD4AgAAwBJofAEAAGAJDb6PLwAAOE/O9O2AddxPH8CZMeMLAAAAS6DxBQAAgCWw1AEATnemt5cBAI0aM74AAACwBBpfAAAAWAKNLwAAACyBxhcAAACWQOMLAAAAS6DxBQAAgCXQ+AIAAMASaHwBAABgCTS+AAAAsAS+uQ0AgMbmTN8uaBjnNw+gkWHGFwAAAJZA4wsAAABLoPEFAACAJdD4AgAAwBI83vhWVVXp0UcfVXx8vEJDQ9WlSxfNmDFDxikL7g3DUHZ2ttq1a6fQ0FAlJSVp7969LscpKSnR6NGjFR4erlatWik9PV1Hjx51ifnss890zTXXKCQkRHFxcZo1a1atfFavXq2uXbsqJCREPXr00LvvvuvpSwYAAEAj4PHG9+mnn9bzzz+vRYsW6fPPP9fTTz+tWbNmaeHChWbMrFmztGDBAi1ZskQFBQVq3ry5UlJSdOLECTNm9OjR2rVrl+x2u9avX6+8vDyNHz/e3F9WVqbk5GR16tRJhYWFmj17tqZNm6YXX3zRjNm0aZNuv/12paena/v27UpNTVVqaqp27tzp6csGAACAn/N447tp0ybdfPPNGj58uDp37qxbb71VycnJ2rx5s6STs73z5s3TlClTdPPNN6tnz5565ZVXdPDgQa1du1aS9PnnnysnJ0cvvfSSEhISNGDAAC1cuFCvvfaaDh48KElasWKFKisrtXTpUl122WUaNWqU/vSnP2nu3LlmLvPnz9fQoUM1adIkdevWTTNmzNCVV16pRYsWefqyAQAA4Oc8fh/f/v3768UXX9S//vUv/c///I/++c9/6h//+IfZkO7bt08Oh0NJSUnmcyIiIpSQkKD8/HyNGjVK+fn5atWqlfr06WPGJCUlKSAgQAUFBbrllluUn5+va6+9VkFBQWZMSkqKnn76aR0+fFiRkZHKz89XVlaWS34pKSlmg326iooKVVRUmNtlZWWSJKfTKafTec61cafmuN46fmNETdyjLu6dU10iItyPh4aeQ0a+5/w5f2cjvw5Ps0RdfsHfA15baqMm7vlrXRqSj8cb34cfflhlZWXq2rWrmjVrpqqqKj3xxBMaPXq0JMnhcEiSoqOjXZ4XHR1t7nM4HGrbtq1rohdcoKioKJeY+Pj4Wseo2RcZGSmHw1HneU43c+ZMPfbYY7XGc3NzFRYWVq/r/6XsdrtXj98YURP3qIt7v6gur77q+UT8iH3pUl+n4JeadF3O4XMsvLbURk3c87e6HDt2rN6xHm98X3/9da1YsUIrV67UZZddpqKiIk2cOFGxsbFKS0vz9Ok8avLkyS4zxGVlZYqLi1NycrLCw8O9ck6n0ym73a4hQ4YoMDDQK+dobKiJe9TFvXOqy5lmfBs5Z2io7EuXasjYsQo8ftzX6fgNS9TlyJEGP4XXltqoiXv+Wpead+jrw+ON76RJk/Twww9r1KhRkqQePXro66+/1syZM5WWlqaYmBhJUnFxsdq1a2c+r7i4WL169ZIkxcTE6NChQy7H/emnn1RSUmI+PyYmRsXFxS4xNdtni6nZf7rg4GAFBwfXGg8MDPT6H/D5OEdjQ03coy7u/aK6NNXm52eBx4833QbvHDTpupzDawOvLbVRE/f8rS4NycXjH247duyYAgJcD9usWTNVV1dLkuLj4xUTE6MNGzaY+8vKylRQUKDExERJUmJiokpLS1VYWGjGbNy4UdXV1UpISDBj8vLyXNZ12O12XXrppYqMjDRjTj1PTUzNeQAAAGAdHm98b7zxRj3xxBN655139J///Edr1qzR3Llzdcstt0iSbDabJk6cqMcff1zr1q3Tjh07dOeddyo2NlapqamSpG7dumno0KEaN26cNm/erE8++USZmZkaNWqUYmNjJUl33HGHgoKClJ6erl27dmnVqlWaP3++y1KFCRMmKCcnR3PmzNGePXs0bdo0bd26VZmZmZ6+bAAAAPg5jy91WLhwoR599FH94Q9/0KFDhxQbG6t77rlH2dnZZsyDDz6o8vJyjR8/XqWlpRowYIBycnIUEhJixqxYsUKZmZkaPHiwAgICNGLECC1YsMDcHxERodzcXGVkZKh3795q06aNsrOzXe71279/f61cuVJTpkzRI488oksuuURr167V5Zdf7unLBgAAgJ/zeOPbsmVLzZs3T/PmzTtjjM1m0/Tp0zV9+vQzxkRFRWnlypV1nqtnz576+OOP64wZOXKkRo4cWWcMAAAAmj6PN74AAMBHbLbaY4Zx/vMA/JTH1/gCAAAA/ojGFwAAAJZA4wsAAABLoPEFAACAJdD4AgAAwBJofAEAAGAJNL4AAACwBBpfAAAAWAKNLwAAACyBb24DYA3uvtEKAGApzPgCAADAEmh8AQAAYAk0vgAAALAEGl8AAABYAh9uAwCgKTvTBzsN4/zmAfgBZnwBAABgCTS+AAAAsAQaXwAAAFgCjS8AAAAsgcYXAAAAlkDjCwAAAEug8QUAAIAl0PgCAADAEmh8AQAAYAleaXwPHDig3/3ud2rdurVCQ0PVo0cPbd261dxvGIays7PVrl07hYaGKikpSXv37nU5RklJiUaPHq3w8HC1atVK6enpOnr0qEvMZ599pmuuuUYhISGKi4vTrFmzauWyevVqde3aVSEhIerRo4feffddb1wyAAAA/JzHG9/Dhw/r6quvVmBgoN577z3t3r1bc+bMUWRkpBkza9YsLViwQEuWLFFBQYGaN2+ulJQUnThxwowZPXq0du3aJbvdrvXr1ysvL0/jx48395eVlSk5OVmdOnVSYWGhZs+erWnTpunFF180YzZt2qTbb79d6enp2r59u1JTU5WamqqdO3d6+rIBAADg5y7w9AGffvppxcXFadmyZeZYfHy8+f+GYWjevHmaMmWKbr75ZknSK6+8oujoaK1du1ajRo3S559/rpycHG3ZskV9+vSRJC1cuFC//vWv9cwzzyg2NlYrVqxQZWWlli5dqqCgIF122WUqKirS3LlzzQZ5/vz5Gjp0qCZNmiRJmjFjhux2uxYtWqQlS5Z4+tIBAADgxzze+K5bt04pKSkaOXKkPvroI7Vv315/+MMfNG7cOEnSvn375HA4lJSUZD4nIiJCCQkJys/P16hRo5Sfn69WrVqZTa8kJSUlKSAgQAUFBbrllluUn5+va6+9VkFBQWZMSkqKnn76aR0+fFiRkZHKz89XVlaWS34pKSlau3at29wrKipUUVFhbpeVlUmSnE6nnE7nOdfGnZrjeuv4jRE1cY+6uFerLhER7gNDQ89TRr7n/PlanRa65vqgLqc57e8Ory3/h5q45691aUg+Hm98//3vf+v5559XVlaWHnnkEW3ZskV/+tOfFBQUpLS0NDkcDklSdHS0y/Oio6PNfQ6HQ23btnVN9IILFBUV5RJz6kzyqcd0OByKjIyUw+Go8zynmzlzph577LFa47m5uQoLC6tvCX4Ru93u1eM3RtTEPerinlmXV1/1bSJ+xL50qa9T8EvU5WenfeaF15baqIl7/laXY8eO1TvW441vdXW1+vTpoyeffFKS9Ktf/Uo7d+7UkiVLlJaW5unTedTkyZNdZojLysoUFxen5ORkhYeHe+WcTqdTdrtdQ4YMUWBgoFfO0dhQE/eoi3u16nKmGV8LcYaGyr50qYaMHavA48d9nY7foC6nOXJEEq8t7lAT9/y1LjXv0NeHxxvfdu3aqXv37i5j3bp105tvvilJiomJkSQVFxerXbt2ZkxxcbF69eplxhw6dMjlGD/99JNKSkrM58fExKi4uNglpmb7bDE1+08XHBys4ODgWuOBgYFe/wM+H+dobKiJe9TFPbMuNDSmwOPHafDcoC4/q1kqGBoqvfqqAtu0OVkXw/BtXn6E11v3/K0uDcnF43d1uPrqq/XFF1+4jP3rX/9Sp06dJJ38oFtMTIw2bNhg7i8rK1NBQYESExMlSYmJiSotLVVhYaEZs3HjRlVXVyshIcGMycvLc1nXYbfbdemll5p3kEhMTHQ5T01MzXkAAABgHR5vfO+//359+umnevLJJ/Xll19q5cqVevHFF5WRkSFJstlsmjhxoh5//HGtW7dOO3bs0J133qnY2FilpqZKOjlDPHToUI0bN06bN2/WJ598oszMTI0aNUqxsbGSpDvuuENBQUFKT0/Xrl27tGrVKs2fP99lqcKECROUk5OjOXPmaM+ePZo2bZq2bt2qzMxMT182AAAA/JzHlzpcddVVWrNmjSZPnqzp06crPj5e8+bN0+jRo82YBx98UOXl5Ro/frxKS0s1YMAA5eTkKCQkxIxZsWKFMjMzNXjwYAUEBGjEiBFasGCBuT8iIkK5ubnKyMhQ79691aZNG2VnZ7vc67d///5auXKlpkyZokceeUSXXHKJ1q5dq8svv9zTlw0AAAA/5/HGV5JuuOEG3XDDDWfcb7PZNH36dE2fPv2MMVFRUVq5cmWd5+nZs6c+/vjjOmNGjhypkSNH1p0wAAAAmjyvfGUxAAAA4G9ofAEAAGAJNL4AAACwBBpfAAAAWAKNLwAAACyBxhcAAACWQOMLAAAAS6DxBQAAgCXQ+AIAAMASaHwBNE4228lHRMTJ7YiIk9sAzk3N361TH0ATQeMLAAAAS6DxBQAAgCXQ+AIAAMASaHwBAABgCTS+AAAAsAQaXwAAAFgCjS8AAAAsgcYXAAAAlkDjCwAAAEug8QUAAIAl0PgCAADAEmh8AQAAYAk0vgAAALCEC3ydAAAA8HM2m/txwzi/eQDniMYXgP870y9dAAAawOtLHZ566inZbDZNnDjRHDtx4oQyMjLUunVrtWjRQiNGjFBxcbHL8/bv36/hw4crLCxMbdu21aRJk/TTTz+5xHz44Ye68sorFRwcrIsvvljLly+vdf7Fixerc+fOCgkJUUJCgjZv3uyNywQAAICf82rju2XLFr3wwgvq2bOny/j999+vt99+W6tXr9ZHH32kgwcP6je/+Y25v6qqSsOHD1dlZaU2bdqkv/zlL1q+fLmys7PNmH379mn48OEaNGiQioqKNHHiRN199916//33zZhVq1YpKytLU6dO1bZt23TFFVcoJSVFhw4d8uZlAwAAwA95rfE9evSoRo8erT//+c+KjIw0x48cOaKXX35Zc+fO1fXXX6/evXtr2bJl2rRpkz799FNJUm5urnbv3q2//e1v6tWrl4YNG6YZM2Zo8eLFqqyslCQtWbJE8fHxmjNnjrp166bMzEzdeuutevbZZ81zzZ07V+PGjdOYMWPUvXt3LVmyRGFhYVq6dKm3LhsAAAB+ymtrfDMyMjR8+HAlJSXp8ccfN8cLCwvldDqVlJRkjnXt2lUdO3ZUfn6++vXrp/z8fPXo0UPR0dFmTEpKiu677z7t2rVLv/rVr5Sfn+9yjJqYmiUVlZWVKiws1OTJk839AQEBSkpKUn5+vtucKyoqVFFRYW6XlZVJkpxOp5xO5y8vRh1qjuut4zdG1MQ9S9clNPSMu5w/73PWEWM11MQ96uLeOdWlib4eWfr1tg7+WpeG5OOVxve1117Ttm3btGXLllr7HA6HgoKC1KpVK5fx6OhoORwOM+bUprdmf82+umLKysp0/PhxHT58WFVVVW5j9uzZ4zbvmTNn6rHHHqs1npubq7CwsDqu+NzZ7XavHr8xoibuWbIur7561hA77+TUQk3coy7u/aK6vPuu5xPxI5Z8va0Hf6vLsWPH6h3r8cb3m2++0YQJE2S32xUSEuLpw3vV5MmTlZWVZW6XlZUpLi5OycnJCg8P98o5nU6n7Ha7hgwZosDAQK+co7GhJu5Zui4REWfc5QwNlX3pUg0ZO1aBx4+fx6T8FzVxj7q4d051OXLEO0n5mKVfb+vgr3WpeYe+Pjze+BYWFurQoUO68sorzbGqqirl5eVp0aJFev/991VZWanS0lKXWd/i4mLFxMRIkmJiYmrdfaHmrg+nxpx+J4ji4mKFh4crNDRUzZo1U7NmzdzG1BzjdMHBwQoODq41HhgY6PU/4PNxjsaGmrhnybrU45dx4PHjNDOnoSbuURf3flFdmvhrkSVfb+vB3+rSkFw8/uG2wYMHa8eOHSoqKjIfffr00ejRo83/DwwM1IYNG8znfPHFF9q/f78SExMlSYmJidqxY4fL3RfsdrvCw8PVvXt3M+bUY9TE1BwjKChIvXv3domprq7Whg0bzBgAAABYh8dnfFu2bKnLL7/cZax58+Zq3bq1OZ6enq6srCxFRUUpPDxcf/zjH5WYmKh+/fpJkpKTk9W9e3f9/ve/16xZs+RwODRlyhRlZGSYM7L33nuvFi1apAcffFBjx47Vxo0b9frrr+udd94xz5uVlaW0tDT16dNHffv21bx581ReXq4xY8Z4+rIBAADg53zyzW3PPvusAgICNGLECFVUVCglJUXPPfecub9Zs2Zav3697rvvPiUmJqp58+ZKS0vT9OnTzZj4+Hi98847uv/++zV//nx16NBBL730klJSUsyY3/72t/ruu++UnZ0th8OhXr16KScnp9YH3gAAAND0nZfG98MPP3TZDgkJ0eLFi7V48eIzPqdTp0569yyfFh04cKC2b99eZ0xmZqYyMzPrnSsAAKinM32duGGc3zyAevLJjC8AuHWmX6IAAHiAV7+yGAAAAPAXNL4AAACwBBpfAAAAWAKNLwAAACyBxhcAAACWQOMLAAAAS6DxBQAAgCVwH18AvsE9ewEA5xkzvgAAALAEGl8AAABYAksdAACAZ7lbymQY5z8P4DQ0vgC8i7W8AAA/wVIHAAAAWAIzvgAajllcAEAjROMLgEYWAGAJLHUAAACAJdD4AgAAwBJY6gBYDcsaAAAWxYwvAAAALIEZXwAA4H1nereJL7bAeUTjCzRVLGkAAMAFSx0AAABgCTS+AAAAsASWOgCNHUsaAACoF4/P+M6cOVNXXXWVWrZsqbZt2yo1NVVffPGFS8yJEyeUkZGh1q1bq0WLFhoxYoSKi4tdYvbv36/hw4crLCxMbdu21aRJk/TTTz+5xHz44Ye68sorFRwcrIsvvljLly+vlc/ixYvVuXNnhYSEKCEhQZs3b/b0JQMAAKAR8Hjj+9FHHykjI0Offvqp7Ha7nE6nkpOTVV5ebsbcf//9evvtt7V69Wp99NFHOnjwoH7zm9+Y+6uqqjR8+HBVVlZq06ZN+stf/qLly5crOzvbjNm3b5+GDx+uQYMGqaioSBMnTtTdd9+t999/34xZtWqVsrKyNHXqVG3btk1XXHGFUlJSdOjQIU9fNgAAAPycx5c65OTkuGwvX75cbdu2VWFhoa699lodOXJEL7/8slauXKnrr79ekrRs2TJ169ZNn376qfr166fc3Fzt3r1bf//73xUdHa1evXppxowZeuihhzRt2jQFBQVpyZIlio+P15w5cyRJ3bp10z/+8Q89++yzSklJkSTNnTtX48aN05gxYyRJS5Ys0TvvvKOlS5fq4Ycf9vSlAwAAwI95fY3vkSNHJElRUVGSpMLCQjmdTiUlJZkxXbt2VceOHZWfn69+/fopPz9fPXr0UHR0tBmTkpKi++67T7t27dKvfvUr5efnuxyjJmbixImSpMrKShUWFmry5Mnm/oCAACUlJSk/P99trhUVFaqoqDC3y8rKJElOp1NOp/McqnBmNcf11vEbI2rinlmXmBjp+PH/2xEa6qOM/IPz5+t3WrwOp6Im7lEX93xel7Cw2mM/9w6+wu8h9/y1Lg3Jx6uNb3V1tSZOnKirr75al19+uSTJ4XAoKChIrVq1comNjo6Ww+EwY05temv21+yrK6asrEzHjx/X4cOHVVVV5TZmz549bvOdOXOmHnvssVrjubm5CnP3F9OD7Ha7V4/fGFET9+xLl/o6Bb9EXWqjJu5RF/f8qi7vvuvrDCTxe+hM/K0ux44dq3esVxvfjIwM7dy5U//4xz+8eRqPmTx5srKyssztsrIyxcXFKTk5WeHh4V45p9PplN1u15AhQxQYGOiVczQ21MQ9sy5jxyrw1Blfi3OGhsq+dCl1OQU1cY+6uOeXdfGDGV9+D9Xmr3WpeYe+PrzW+GZmZmr9+vXKy8tThw4dzPGYmBhVVlaqtLTUZda3uLhYMTExZszpd1+ouevDqTGn3wmiuLhY4eHhCg0NVbNmzdSsWTO3MTXHOF1wcLCCg4NrjQcGBnr9D/h8nKOxoSbuBR4/7j+/nPwIdamNmrhHXdzzq7r4yWs/v4fc87e6NCQXj9/VwTAMZWZmas2aNdq4caPi4+Nd9vfu3VuBgYHasGGDOfbFF19o//79SkxMlCQlJiZqx44dLndfsNvtCg8PV/fu3c2YU49RE1NzjKCgIPXu3dslprq6Whs2bDBjAL9ls9V+RET4OisAABo1j8/4ZmRkaOXKlXrrrbfUsmVLc01uRESEQkNDFRERofT0dGVlZSkqKkrh4eH64x//qMTERPXr10+SlJycrO7du+v3v/+9Zs2aJYfDoSlTpigjI8Ockb333nu1aNEiPfjggxo7dqw2btyo119/Xe+8846ZS1ZWltLS0tSnTx/17dtX8+bNU3l5uXmXBwAAAFiHxxvf559/XpI0cOBAl/Fly5bprrvukiQ9++yzCggI0IgRI1RRUaGUlBQ999xzZmyzZs20fv163XfffUpMTFTz5s2Vlpam6dOnmzHx8fF65513dP/992v+/Pnq0KGDXnrpJfNWZpL029/+Vt99952ys7PlcDjUq1cv5eTk1PrAGwAAAJo+jze+hmGcNSYkJESLFy/W4sWLzxjTqVMnvXuWT3UOHDhQ27dvrzMmMzNTmZmZZ80J8Bm+chgAXJ3pdbEePQZQF4+v8QUAAAD8EY0vAAAALMHr39wG4GcsaQAAwKeY8QUAAIAl0PgCAADAEljqAHgaSxoAwDu42wPOETO+AAAAsARmfIFzwewuAACNBjO+AAAAsAQaXwAAAFgCSx2A+mBJAwD4L3ev0XzgDW4w4wsAAABLoPEFAACAJbDUATgVSxoAoGngnr9wgxlfAAAAWAKNLwAAACyBpQ6wLpY1AABgKTS+AADAOlj7a2ksdQAAAIAl0PgCAADAEmh80fTZbO4fAADUOPX3Q0SEr7OBl9D4AgAAwBJofNF0MLMLAPCkiAh+rzQxNL4AAACwBG5nhsaJf3EDAHyFW6I1WpaY8V28eLE6d+6skJAQJSQkaPPmzb5OCQAAAOdZk298V61apaysLE2dOlXbtm3TFVdcoZSUFB06dMjXqaE+WLcLAGgs+H3l95p84zt37lyNGzdOY8aMUffu3bVkyRKFhYVp6dKlvk4Npzv9NjLcTgYA0NgxgeNXmvQa38rKShUWFmry5MnmWEBAgJKSkpSfn18rvqKiQhUVFeb2kSNHJEklJSVyOp1eydHpdOrYsWP64YcfFBgY6JVz+J0OHdyPh4RIkpwhISdrEhKiQNZLmaiLe9SlNmriHnVxj7rUdl5qEhpa/9hvv/VODg3krz3Ljz/+KEky6vNnZTRhBw4cMCQZmzZtchmfNGmS0bdv31rxU6dONSTx4MGDBw8ePHjwaGSPb7755qy9YZOe8W2oyZMnKysry9yurq5WSUmJWrduLZuX3pYoKytTXFycvvnmG4WHh3vlHI0NNXGPurhHXWqjJu5RF/eoS23UxD1/rYthGPrxxx8VGxt71tgm3fi2adNGzZo1U3Fxsct4cXGxYmJiasUHBwcrODjYZaxVq1beTNEUHh7uVz9E/oCauEdd3KMutVET96iLe9SlNmrinj/WJaKenwtq0h9uCwoKUu/evbVhwwZzrLq6Whs2bFBiYqIPMwMAAMD51qRnfCUpKytLaWlp6tOnj/r27at58+apvLxcY8aM8XVqAAAAOI+afOP729/+Vt99952ys7PlcDjUq1cv5eTkKDo62tepSTq5vGLq1Km1llhYGTVxj7q4R11qoybuURf3qEtt1MS9plAXm2Fw7xIAAAA0fU16jS8AAABQg8YXAAAAlkDjCwAAAEug8QUAAIAl0Pj6oYqKCvXq1Us2m01FRUW+TsfnbrrpJnXs2FEhISFq166dfv/73+vgwYO+Tstn/vOf/yg9PV3x8fEKDQ1Vly5dNHXqVFVWVvo6NZ974okn1L9/f4WFhZ23L5/xR4sXL1bnzp0VEhKihIQEbd682dcp+VReXp5uvPFGxcbGymazae3atb5Oyedmzpypq666Si1btlTbtm2VmpqqL774wtdp+dzzzz+vnj17ml/QkJiYqPfee8/XafmVp556SjabTRMnTvR1Kr8Ija8fevDBB+v1tXtWMWjQIL3++uv64osv9Oabb+qrr77Srbfe6uu0fGbPnj2qrq7WCy+8oF27dunZZ5/VkiVL9Mgjj/g6NZ+rrKzUyJEjdd999/k6FZ9ZtWqVsrKyNHXqVG3btk1XXHGFUlJSdOjQIV+n5jPl5eW64oortHjxYl+n4jc++ugjZWRk6NNPP5XdbpfT6VRycrLKy8t9nZpPdejQQU899ZQKCwu1detWXX/99br55pu1a9cuX6fmF7Zs2aIXXnhBPXv29HUqv5wBv/Luu+8aXbt2NXbt2mVIMrZv3+7rlPzOW2+9ZdhsNqOystLXqfiNWbNmGfHx8b5Ow28sW7bMiIiI8HUaPtG3b18jIyPD3K6qqjJiY2ONmTNn+jAr/yHJWLNmja/T8DuHDh0yJBkfffSRr1PxO5GRkcZLL73k6zR87scffzQuueQSw263G9ddd50xYcIEX6f0izDj60eKi4s1btw4/fWvf1VYWJiv0/FLJSUlWrFihfr376/AwEBfp+M3jhw5oqioKF+nAR+rrKxUYWGhkpKSzLGAgAAlJSUpPz/fh5nB3x05ckSSeB05RVVVlV577TWVl5crMTHR1+n4XEZGhoYPH+7y+tIY0fj6CcMwdNddd+nee+9Vnz59fJ2O33nooYfUvHlztW7dWvv379dbb73l65T8xpdffqmFCxfqnnvu8XUq8LHvv/9eVVVVtb6ZMjo6Wg6Hw0dZwd9VV1dr4sSJuvrqq3X55Zf7Oh2f27Fjh1q0aKHg4GDde++9WrNmjbp37+7rtHzqtdde07Zt2zRz5kxfp3LOaHy97OGHH5bNZqvzsWfPHi1cuFA//vijJk+e7OuUz4v61qXGpEmTtH37duXm5qpZs2a68847ZTSxLx1saE0k6cCBAxo6dKhGjhypcePG+Shz7/oldQFQfxkZGdq5c6dee+01X6fiFy699FIVFRWpoKBA9913n9LS0rR7925fp+Uz33zzjSZMmKAVK1YoJCTE1+mcM76y2Mu+++47/fDDD3XGXHTRRbrtttv09ttvy2azmeNVVVVq1qyZRo8erb/85S/eTvW8qm9dgoKCao1/++23iouL06ZNm5rU208NrcnBgwc1cOBA9evXT8uXL1dAQNP8d+wv+VlZvny5Jk6cqNLSUi9n518qKysVFhamN954Q6mpqeZ4WlqaSktLeadEks1m05o1a1zqY2WZmZl66623lJeXp/j4eF+n45eSkpLUpUsXvfDCC75OxSfWrl2rW265Rc2aNTPHqqqqZLPZFBAQoIqKCpd9/u4CXyfQ1F144YW68MILzxq3YMECPf744+b2wYMHlZKSolWrVikhIcGbKfpEfeviTnV1taSTt31rShpSkwMHDmjQoEHq3bu3li1b1mSbXuncflasJigoSL1799aGDRvMxq66ulobNmxQZmamb5ODXzEMQ3/84x+1Zs0affjhhzS9daiurm5yv28aYvDgwdqxY4fL2JgxY9S1a1c99NBDjarplWh8/UbHjh1dtlu0aCFJ6tKlizp06OCLlPxCQUGBtmzZogEDBigyMlJfffWVHn30UXXp0qVJzfY2xIEDBzRw4EB16tRJzzzzjL777jtzX0xMjA8z8739+/erpKRE+/fvV1VVlXkf7Isvvtj8O9XUZWVlKS0tTX369FHfvn01b948lZeXa8yYMb5OzWeOHj2qL7/80tzet2+fioqKFBUVVeu11yoyMjK0cuVKvfXWW2rZsqW5BjwiIkKhoaE+zs53Jk+erGHDhqljx4768ccftXLlSn344Yd6//33fZ2az7Rs2bLW2u+az9w0yjXhPr2nBM5o37593M7MMIzPPvvMGDRokBEVFWUEBwcbnTt3Nu69917j22+/9XVqPrNs2TJDktuH1aWlpbmtywcffODr1M6rhQsXGh07djSCgoKMvn37Gp9++qmvU/KpDz74wO3PRVpamq9T85kzvYYsW7bM16n51NixY41OnToZQUFBxoUXXmgMHjzYyM3N9XVafqcx386MNb4AAACwhKa7MBAAAAA4BY0vAAAALIHGFwAAAJZA4wsAAABLoPEFAACAJdD4AgAAwBJofAEAAGAJNL4AAACwBBpfAAAAWAKNLwAAACyBxhcAAACWQOMLAAAAS/j/qeYS+ieapTIAAAAASUVORK5CYII="},"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_t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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 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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 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PLp27Ypbt25h06ZN2LdvH3bv3o3z589j06ZNePbZZ9GhQwecOHECiYmJGDlyJPr16wcACA8PR0BAAKZMmYJFixbBbDZj3rx5iIuLE8+0zpo1CytXrsTcuXMxbdo07N27F1u2bMGOHTvEPAwGA6KiojBo0CAMGTIEy5cvR3FxMaKjowEAnp6eiImJgcFgQPv27aHRaDB79mzodLpqL2wjIiIiopbNqca3oKAAr7zyCq5evQpPT0/069cPu3fvxtixY3Hp0iV8/fXXYhPq6+uLyMhIzJs3T3y/q6srtm/fjtjYWOh0OrRq1QpRUVFITU0VY/z9/bFjxw4kJiZixYoV6NKlC9auXQu9Xi/GTJ48GdeuXUNycjLMZjOCgoKwa9cuhwveli1bBhcXF0RGRsJqtUKv12PVqlX1qRURERERNWNONb4ffvhhtdt8fX2RnZ390DH8/Pyw8yFXFIeGhuL48eM1xsTHxyM+Pr7a7e7u7khPT0d6evpDcyIiIiKilq/ec3yJiIiIiJqDOj/AgoiIWpjq7hjBuz0QUQvBM75EREREJAs840tE9Kiq4z17iYioajzjS0RERESywMaXiIiIiGSBjS8RERERyQIbXyIiIiKSBTa+RERERCQLbHyJiIiISBbY+BIRERGRLLDxJSIiIiJZ4AMsiIik9qg/qKKq/PgYYyJqhnjGl4iIiIhkgY0vEREREckCG18iIiIikgU2vkREREQkC2x8iYiIiEgW2PgSERERkSyw8SUiIiIiWXCq8V29ejX69esHjUYDjUYDnU6Hr776StxeWlqKuLg4dOjQAa1bt0ZkZCTy8/Mdxrh48SIiIiLg4eEBLy8vzJkzB3fv3nWI2bdvHwYOHAiVSoUePXogIyOjUi7p6eno1q0b3N3dERISgsOHDztsr00uRERERCQfTjW+Xbp0wV/+8hfk5OTg6NGjeOaZZ/D8888jLy8PAJCYmIgvv/wSmZmZyM7OxpUrVzBx4kTx/WVlZYiIiIDNZsOBAwewYcMGZGRkIDk5WYy5cOECIiIiMHr0aOTm5iIhIQHTp0/H7t27xZjNmzfDYDAgJSUFx44dQ//+/aHX61FQUCDGPCwXIiIiIpIZoZ7atWsnrF27VigsLBSUSqWQmZkpbvv+++8FAILJZBIEQRB27twpuLi4CGazWYxZvXq1oNFoBKvVKgiCIMydO1fo27evwz4mT54s6PV6cXnIkCFCXFycuFxWVib4+PgIaWlpgiAItcqlNoqKigQAQlFRUa3fUxWbzSZs27ZNsNls9RqH6ob1lxbrXwv3noPWKC+bWn2v/mp1w45NtcLjX1qsv3SasvbO9Gt1fmRxWVkZMjMzUVxcDJ1Oh5ycHNjtdoSFhYkxvXv3RteuXWEymTB06FCYTCYEBgbC29tbjNHr9YiNjUVeXh4GDBgAk8nkMEZFTEJCAgDAZrMhJycHSUlJ4nYXFxeEhYXBZDIBQK1yqYrVaoXVahWXLRYLAMBut8Nut9exUhDfW58xqO5Yf2mx/rWgVjfa0PZfx7Y39D7486wVHv/SYv2l05S1d2YfTje+J0+ehE6nQ2lpKVq3bo2tW7ciICAAubm5cHNzQ9u2bR3ivb29YTabAQBms9mh6a3YXrGtphiLxYKSkhLcvHkTZWVlVcacOXNGHONhuVQlLS0NCxYsqLR+z5498PDwqPZ9tWU0Gus9BtUd6y8t1r8GH3/c6LswrlvXsAPu3Nmw47VwPP6lxfpLpylqf+fOnVrHOt349urVC7m5uSgqKsKnn36KqKgoZGdnOzvMIykpKQkGg0Fctlgs8PX1RXh4ODQaTZ3HtdvtMBqNGDt2LJRKZUOkSk5g/aXF+j/A07NJd2dXq2Fctw5jp02DsqSk8XdYVNT4+2hGePxLi/WXTlPWvuIb+tpwuvF1c3NDjx49AADBwcE4cuQIVqxYgcmTJ8Nms6GwsNDhTGt+fj60Wi0AQKvVVrr7QsWdFu6PefDuC/n5+dBoNFCr1XB1dYWrq2uVMfeP8bBcqqJSqaBSqSqtVyqVDfJDa6hxqG5Yf2mx/r9qiuazCsqSkqZpfPkzrhKPf2mx/tJpito7M3697+NbXl4Oq9WK4OBgKJVKZGVlidvOnj2LixcvQqfTAQB0Oh1OnjzpcPcFo9EIjUaDgIAAMeb+MSpiKsZwc3NDcHCwQ0x5eTmysrLEmNrkQkRERETy4tQZ36SkJIwfPx5du3bFrVu3sGnTJuzbtw+7d++Gp6cnYmJiYDAY0L59e2g0GsyePRs6nU68mCw8PBwBAQGYMmUKFi1aBLPZjHnz5iEuLk480zpr1iysXLkSc+fOxbRp07B3715s2bIFO3bsEPMwGAyIiorCoEGDMGTIECxfvhzFxcWIjo4GgFrlQkRERETy4lTjW1BQgFdeeQVXr16Fp6cn+vXrh927d2Ps2LEAgGXLlsHFxQWRkZGwWq3Q6/VYtWqV+H5XV1ds374dsbGx0Ol0aNWqFaKiopCamirG+Pv7Y8eOHUhMTMSKFSvQpUsXrF27Fnq9XoyZPHkyrl27huTkZJjNZgQFBWHXrl0OF7w9LBciIiIikhenGt8PP/ywxu3u7u5IT09Henp6tTF+fn7Y+ZCrgUNDQ3H8+PEaY+Lj4xEfH1+vXIiIiIhIPuo9x5eIiIiIqDlg40tEREREssDGl4iIiIhkgY0vEREREckCG18iIiIikgU2vkREREQkC04/spiIiKhaCkXV6wWhafMgIqoCG18iosZQXQNIRESS4VQHIiIiIpIFNr5EREREJAtsfImIiIhIFtj4EhEREZEssPElIiIiIllg40tEREREssDGl4iIiIhkgY0vEREREckCG18iIiIikgU2vkREREQkC3xkMRERNb6qHuEsCE2fBxHJGs/4EhEREZEsONX4pqWlYfDgwWjTpg28vLwwYcIEnD171iEmNDQUCoXC4TVr1iyHmIsXLyIiIgIeHh7w8vLCnDlzcPfuXYeYffv2YeDAgVCpVOjRowcyMjIq5ZOeno5u3brB3d0dISEhOHz4sMP20tJSxMXFoUOHDmjdujUiIyORn5/vzEcmIiIiohbCqcY3OzsbcXFxOHjwIIxGI+x2O8LDw1FcXOwQN2PGDFy9elV8LVq0SNxWVlaGiIgI2Gw2HDhwABs2bEBGRgaSk5PFmAsXLiAiIgKjR49Gbm4uEhISMH36dOzevVuM2bx5MwwGA1JSUnDs2DH0798fer0eBQUFYkxiYiK+/PJLZGZmIjs7G1euXMHEiROdLhIRUbUUiqpfRET0yHFqju+uXbscljMyMuDl5YWcnByMHDlSXO/h4QGtVlvlGHv27MHp06fx9ddfw9vbG0FBQVi4cCFef/11zJ8/H25ublizZg38/f2xZMkSAECfPn3w7bffYtmyZdDr9QCApUuXYsaMGYiOjgYArFmzBjt27MC6devwxhtvoKioCB9++CE2bdqEZ555BgCwfv169OnTBwcPHsTQoUOd+ehERERE1MzV6+K2oqIiAED79u0d1m/cuBEfffQRtFotnnvuObz11lvw8PAAAJhMJgQGBsLb21uM1+v1iI2NRV5eHgYMGACTyYSwsDCHMfV6PRISEgAANpsNOTk5SEpKEre7uLggLCwMJpMJAJCTkwO73e4wTu/evdG1a1eYTKYqG1+r1Qqr1SouWywWAIDdbofdbne6PhUq3lufMajuWH9ptfj6q9VSZ1Aj+6/52R/FPFvqMXGfFn/8P+JYf+k0Ze2d2UedG9/y8nIkJCRg+PDheOqpp8T1L730Evz8/ODj44MTJ07g9ddfx9mzZ/HPf/4TAGA2mx2aXgDistlsrjHGYrGgpKQEN2/eRFlZWZUxZ86cEcdwc3ND27ZtK8VU7OdBaWlpWLBgQaX1e/bsERv3+jAajfUeg+qO9ZdWi63/xx9LnUGtGNetkzqFynbulDqDJtNij/9mgvWXTlPU/s6dO7WOrXPjGxcXh1OnTuHbb791WD9z5kzx/wMDA9GpUyeMGTMG58+fR/fu3eu6uyaRlJQEg8EgLlssFvj6+iI8PBwajabO49rtdhiNRowdOxZKpbIhUiUnsP7SavH19/SUOoMa2dVqGNetw9hp06AsKZE6HUe/fmvYkrX44/8Rx/pLpylrX/ENfW3UqfGNj4/H9u3bsX//fnTp0qXG2JCQEADAuXPn0L17d2i12kp3X6i400LFvGCtVlvp7gv5+fnQaDRQq9VwdXWFq6trlTH3j2Gz2VBYWOhw1vf+mAepVCqoVKpK65VKZYP80BpqHKob1l9aLbb+j1ozWQ1lScmj1/i2xOOhGi32+G8mWH/pNEXtnRnfqbs6CIKA+Ph4bN26FXv37oW/v/9D35ObmwsA6NSpEwBAp9Ph5MmTDndfMBqN0Gg0CAgIEGOysrIcxjEajdDpdAAANzc3BAcHO8SUl5cjKytLjAkODoZSqXSIOXv2LC5evCjGEBEREZF8OHXGNy4uDps2bcLnn3+ONm3aiHNlPT09oVarcf78eWzatAnPPvssOnTogBMnTiAxMREjR45Ev379AADh4eEICAjAlClTsGjRIpjNZsybNw9xcXHi2dZZs2Zh5cqVmDt3LqZNm4a9e/diy5Yt2LFjh5iLwWBAVFQUBg0ahCFDhmD58uUoLi4W7/Lg6emJmJgYGAwGtG/fHhqNBrNnz4ZOp+MdHYiIiIhkyKnGd/Xq1QDuPaTifuvXr8fUqVPh5uaGr7/+WmxCfX19ERkZiXnz5omxrq6u2L59O2JjY6HT6dCqVStERUUhNTVVjPH398eOHTuQmJiIFStWoEuXLli7dq14KzMAmDx5Mq5du4bk5GSYzWYEBQVh165dDhe8LVu2DC4uLoiMjITVaoVer8eqVaucKhARETWS6u53zEcZE1EjcarxFR7yy8jX1xfZ2dkPHcfPzw87H3I1b2hoKI4fP15jTHx8POLj46vd7u7ujvT0dKSnpz80JyIiIiJq2Zya40tERERE1Fyx8SUiIiIiWWDjS0RERESywMaXiIiIiGSBjS8RERERyUKdH1lMRCQ71d1+i4iImgWe8SUiIiIiWWDjS0RERESywKkORET0aKlqSgmf5kZEDYBnfImIiIhIFtj4EhEREZEssPElIiIiIllg40tEREREssDGl4iIiIhkgY0vEREREckCG18iIiIikgU2vkREREQkC2x8iYiIiEgW2PgSERERkSzwkcVERA+q6pG5JK3qfiZ8lDEROcGpM75paWkYPHgw2rRpAy8vL0yYMAFnz551iCktLUVcXBw6dOiA1q1bIzIyEvn5+Q4xFy9eREREBDw8PODl5YU5c+bg7t27DjH79u3DwIEDoVKp0KNHD2RkZFTKJz09Hd26dYO7uztCQkJw+PBhp3MhIiIiInlwqvHNzs5GXFwcDh48CKPRCLvdjvDwcBQXF4sxiYmJ+PLLL5GZmYns7GxcuXIFEydOFLeXlZUhIiICNpsNBw4cwIYNG5CRkYHk5GQx5sKFC4iIiMDo0aORm5uLhIQETJ8+Hbt37xZjNm/eDIPBgJSUFBw7dgz9+/eHXq9HQUFBrXMhIiIiIhkR6qGgoEAAIGRnZwuCIAiFhYWCUqkUMjMzxZjvv/9eACCYTCZBEARh586dgouLi2A2m8WY1atXCxqNRrBarYIgCMLcuXOFvn37Ouxr8uTJgl6vF5eHDBkixMXFictlZWWCj4+PkJaWVutcHqaoqEgAIBQVFdUqvjo2m03Ytm2bYLPZ6jUO1Q3rL61mWf97X6C3iJdNrb5Xf7Va8lwa5fWIa5bHfwvC+kunKWvvTL9Wr4vbioqKAADt27cHAOTk5MButyMsLEyM6d27N7p27QqTyQQAMJlMCAwMhLe3txij1+thsViQl5cnxtw/RkVMxRg2mw05OTkOMS4uLggLCxNjapMLEREREclHnS9uKy8vR0JCAoYPH46nnnoKAGA2m+Hm5oa2bds6xHp7e8NsNosx9ze9FdsrttUUY7FYUFJSgps3b6KsrKzKmDNnztQ6lwdZrVZYrVZx2WKxAADsdjvsdnuN9ahJxXvrMwbVHesvrWZZf7Va6gwajP3Xz2JvQZ/JwSN+XDXL478FYf2l05S1d2YfdW584+LicOrUKXz77bd1HeKRk5aWhgULFlRav2fPHnh4eNR7fKPRWO8xqO5Yf2k1q/p//LHUGTQ447p1UqfQOHbulDqDWmlWx38LxPpLpylqf+fOnVrH1qnxjY+Px/bt27F//3506dJFXK/VamGz2VBYWOhwpjU/Px9arVaMefDuCxV3Wrg/5sG7L+Tn50Oj0UCtVsPV1RWurq5Vxtw/xsNyeVBSUhIMBoO4bLFY4Ovri/DwcGg0mtqUpkp2ux1GoxFjx46FUqms8zhUN6y/tJpl/T09pc6gwdjVahjXrcPYadOgLCmROp2G9+uUu0dVszz+WxDWXzpNWfuKb+hrw6nGVxAEzJ49G1u3bsW+ffvg7+/vsD04OBhKpRJZWVmIjIwEAJw9exYXL16ETqcDAOh0OrzzzjsoKCiAl5cXgHv/GtBoNAgICBBjdj7wr3ij0SiO4ebmhuDgYGRlZWHChAkA7k29yMrKQnx8fK1zeZBKpYJKpaq0XqlUNsgPraHGobph/aXVrOrfAhtEZUlJy2x8m8kx1ayO/xaI9ZdOU9TemfGdanzj4uKwadMmfP7552jTpo04V9bT0xNqtRqenp6IiYmBwWBA+/btodFoMHv2bOh0OgwdOhQAEB4ejoCAAEyZMgWLFi2C2WzGvHnzEBcXJzads2bNwsqVKzF37lxMmzYNe/fuxZYtW7Bjxw4xF4PBgKioKAwaNAhDhgzB8uXLUVxcjOjoaDGnh+VCRERERPLhVOO7evVqAEBoaKjD+vXr12Pq1KkAgGXLlsHFxQWRkZGwWq3Q6/VYtWqVGOvq6ort27cjNjYWOp0OrVq1QlRUFFJTU8UYf39/7NixA4mJiVixYgW6dOmCtWvXQq/XizGTJ0/GtWvXkJycDLPZjKCgIOzatcvhgreH5UJERERE8uH0VIeHcXd3R3p6OtLT06uN8fPzqzSV4UGhoaE4fvx4jTHx8fHi1Ia65kJERERE8lDnuzoQERFJTqGoen0tTtQQkfzU6wEWRERERETNBc/4EpF8VXe2kIiIWiSe8SUiIiIiWWDjS0RERESywMaXiIiIiGSBjS8RERERyQIbXyIiIiKSBTa+RERERCQLbHyJiIiISBbY+BIRERGRLLDxJSIiIiJZYONLRERERLLARxYTEVHLU9XjqAWh6fMgokcKz/gSERERkSzwjC8RyUNVZwCJiEhWeMaXiIiIiGSBjS8RERERyQIbXyIiIiKSBTa+RERERCQLTje++/fvx3PPPQcfHx8oFAps27bNYfvUqVOhUCgcXuPGjXOIuXHjBl5++WVoNBq0bdsWMTExuH37tkPMiRMn8PTTT8Pd3R2+vr5YtGhRpVwyMzPRu3dvuLu7IzAwEDt37nTYLggCkpOT0alTJ6jVaoSFheGHH35w9iMTERERUQvgdONbXFyM/v37Iz09vdqYcePG4erVq+Lr448/dtj+8ssvIy8vD0ajEdu3b8f+/fsxc+ZMcbvFYkF4eDj8/PyQk5ODxYsXY/78+fjggw/EmAMHDuDFF19ETEwMjh8/jgkTJmDChAk4deqUGLNo0SK89957WLNmDQ4dOoRWrVpBr9ejtLTU2Y9NRERERM2c07czGz9+PMaPH19jjEqlglarrXLb999/j127duHIkSMYNGgQAOBvf/sbnn32Wfz1r3+Fj48PNm7cCJvNhnXr1sHNzQ19+/ZFbm4uli5dKjbIK1aswLhx4zBnzhwAwMKFC2E0GrFy5UqsWbMGgiBg+fLlmDdvHp5//nkAwP/+7//C29sb27Ztw+9//3tnPzoRERERNWONMsd337598PLyQq9evRAbG4vr16+L20wmE9q2bSs2vQAQFhYGFxcXHDp0SIwZOXIk3NzcxBi9Xo+zZ8/i5s2bYkxYWJjDfvV6PUwmEwDgwoULMJvNDjGenp4ICQkRY4iIiIhIPhr8ARbjxo3DxIkT4e/vj/Pnz+PNN9/E+PHjYTKZ4OrqCrPZDC8vL8ckHnsM7du3h9lsBgCYzWb4+/s7xHh7e4vb2rVrB7PZLK67P+b+Me5/X1UxD7JarbBareKyxWIBANjtdtjtdqfqcL+K99ZnDKo71l9aj0z91Wpp9y8R+6+f2y7Tz+9AgmPwkTn+ZYr1l05T1t6ZfTR443v/FILAwED069cP3bt3x759+zBmzJiG3l2DSktLw4IFCyqt37NnDzw8POo9vtForPcYVHesv7Qkr/8D1xrIjXHdOqlTkN4DF0A3JcmPf5lj/aXTFLW/c+dOrWMb/ZHFTzzxBDp27Ihz585hzJgx0Gq1KCgocIi5e/cubty4Ic4L1mq1yM/Pd4ipWH5YzP3bK9Z16tTJISYoKKjKXJOSkmAwGMRli8UCX19fhIeHQ6PROPvRRXa7HUajEWPHjoVSqazzOFQ3rL+0Hpn6e3pKt28J2dVqGNetw9hp06AsKZE6nUdTUVGjDf3IHP8yxfpLpylrX/ENfW00euP7888/4/r162LzqdPpUFhYiJycHAQHBwMA9u7di/LycoSEhIgxf/7zn2G328ViGY1G9OrVC+3atRNjsrKykJCQIO7LaDRCp9MBAPz9/aHVapGVlSU2uhaLBYcOHUJsbGyVuapUKqhUqkrrlUplg/zQGmocqhvWX1qS11/mTZ+ypISNb3Wa4LiU/PiXOdZfOk1Re2fGd/rittu3byM3Nxe5ubkA7l1Elpubi4sXL+L27duYM2cODh48iJ9++glZWVl4/vnn0aNHD+j1egBAnz59MG7cOMyYMQOHDx/Gd999h/j4ePz+97+Hj48PAOCll16Cm5sbYmJikJeXh82bN2PFihUOZ2NfffVV7Nq1C0uWLMGZM2cwf/58HD16FPHx8QAAhUKBhIQEvP322/jiiy9w8uRJvPLKK/Dx8cGECROc/dhE1FwoFFW/iIhI9pw+43v06FGMHj1aXK5oRqOiorB69WqcOHECGzZsQGFhIXx8fBAeHo6FCxc6nEnduHEj4uPjMWbMGLi4uCAyMhLvvfeeuN3T0xN79uxBXFwcgoOD0bFjRyQnJzvc63fYsGHYtGkT5s2bhzfffBM9e/bEtm3b8NRTT4kxc+fORXFxMWbOnInCwkKMGDECu3btgru7u7Mfm4iIiIiaOacb39DQUAiCUO323bt3P3SM9u3bY9OmTTXG9OvXD998802NMZMmTcKkSZOq3a5QKJCamorU1NSH5kRERERELVuj3MeXiIiIiOhRw8aXiIiIiGSBjS8RERERyQIbXyIiIiKSBTa+RERERCQLbHyJiIiISBbY+BIRERGRLLDxJSIiIiJZcPoBFkREjwQ+hpiIiJzExpeIiOStun9E1fCUUiJqnjjVgYiIiIhkgY0vEREREckCG18iIiIikgU2vkREREQkC2x8iYiIiEgW2PgSERERkSyw8SUiIiIiWWDjS0RERESywMaXiIiIiGSBjS8RERERyYLTje/+/fvx3HPPwcfHBwqFAtu2bXPYLggCkpOT0alTJ6jVaoSFheGHH35wiLlx4wZefvllaDQatG3bFjExMbh9+7ZDzIkTJ/D000/D3d0dvr6+WLRoUaVcMjMz0bt3b7i7uyMwMBA7d+50OhciagYUisovIiIiJznd+BYXF6N///5IT0+vcvuiRYvw3nvvYc2aNTh06BBatWoFvV6P0tJSMebll19GXl4ejEYjtm/fjv3792PmzJnidovFgvDwcPj5+SEnJweLFy/G/Pnz8cEHH4gxBw4cwIsvvoiYmBgcP34cEyZMwIQJE3Dq1CmnciEiIiIimRDqAYCwdetWcbm8vFzQarXC4sWLxXWFhYWCSqUSPv74Y0EQBOH06dMCAOHIkSNizFdffSUoFArh8uXLgiAIwqpVq4R27doJVqtVjHn99deFXr16icsvvPCCEBER4ZBPSEiI8Mc//rHWuTxMUVGRAEAoKiqqVXx1bDabsG3bNsFms9VrHKob1l9aDVJ/gK86vmxq9b36q9WS59IiXlIc/1RnrL90mrL2zvRrDTrH98KFCzCbzQgLCxPXeXp6IiQkBCaTCQBgMpnQtm1bDBo0SIwJCwuDi4sLDh06JMaMHDkSbm5uYoxer8fZs2dx8+ZNMeb+/VTEVOynNrkQERERkXw81pCDmc1mAIC3t7fDem9vb3Gb2WyGl5eXYxKPPYb27ds7xPj7+1cao2Jbu3btYDabH7qfh+XyIKvVCqvVKi5bLBYAgN1uh91ur+mj16jivfUZg+qO9ZdWg9RfrW6gbOTH/mvt7Kxhw3DyOObvH2mx/tJpyto7s48GbXybu7S0NCxYsKDS+j179sDDw6Pe4xuNxnqPQXXH+kurXvX/+OOGS0SmjOvWSZ1Cy/DARdS1xd8/0mL9pdMUtb9z506tYxu08dVqtQCA/Px8dOrUSVyfn5+PoKAgMaagoMDhfXfv3sWNGzfE92u1WuTn5zvEVCw/LOb+7Q/L5UFJSUkwGAzissViga+vL8LDw6HRaB5egGrY7XYYjUaMHTsWSqWyzuNQ3bD+0mqQ+nt6NmxSMmJXq2Fctw5jp02DsqRE6nSav6Iip8L5+0darL90mrL2Fd/Q10aDNr7+/v7QarXIysoSm0uLxYJDhw4hNjYWAKDT6VBYWIicnBwEBwcDAPbu3Yvy8nKEhISIMX/+859ht9vFYhmNRvTq1Qvt2rUTY7KyspCQkCDu32g0QqfT1TqXB6lUKqhUqkrrlUplg/zQGmocqhvWX1r1qj8btnpTlpSw8W0IdTyG+ftHWqy/dJqi9s6M7/TFbbdv30Zubi5yc3MB3LuILDc3FxcvXoRCoUBCQgLefvttfPHFFzh58iReeeUV+Pj4YMKECQCAPn36YNy4cZgxYwYOHz6M7777DvHx8fj9738PHx8fAMBLL70ENzc3xMTEIC8vD5s3b8aKFSsczsa++uqr2LVrF5YsWYIzZ85g/vz5OHr0KOLj4wGgVrkQERERkXw4fcb36NGjGD16tLhc0YxGRUUhIyMDc+fORXFxMWbOnInCwkKMGDECu3btgru7u/iejRs3Ij4+HmPGjIGLiwsiIyPx3nvvids9PT2xZ88exMXFITg4GB07dkRycrLDvX6HDRuGTZs2Yd68eXjzzTfRs2dPbNu2DU899ZQYU5tciIiIiEgenG58Q0NDIQhCtdsVCgVSU1ORmppabUz79u2xadOmGvfTr18/fPPNNzXGTJo0CZMmTapXLkT0COET2YiIqBE16H18iYiIiIgeVWx8iYiIiEgWeB9fIiKi2qpuOk4NUwCJ6NHBM75EREREJAtsfImIiIhIFtj4EhEREZEssPElIiIiIllg40tEREREssDGl4iIiIhkgbczIyJp8CltRETUxHjGl4iIiIhkgY0vEREREckCG18iIqL6UiiqfhHRI4WNLxERERHJAhtfIiIiIpIFNr5EREREJAtsfImIiIhIFtj4EhEREZEssPElosbl6fl//+XV7kREJCE2vkREREQkC2x8iYiIiEgWGrzxnT9/PhQKhcOrd+/e4vbS0lLExcWhQ4cOaN26NSIjI5Gfn+8wxsWLFxEREQEPDw94eXlhzpw5uHv3rkPMvn37MHDgQKhUKvTo0QMZGRmVcklPT0e3bt3g7u6OkJAQHD58uKE/LhERUfWqmupDRJJplDO+ffv2xdWrV8XXt99+K25LTEzEl19+iczMTGRnZ+PKlSuYOHGiuL2srAwRERGw2Ww4cOAANmzYgIyMDCQnJ4sxFy5cQEREBEaPHo3c3FwkJCRg+vTp2L17txizefNmGAwGpKSk4NixY+jfvz/0ej0KCgoa4yMTERER0SOuURrfxx57DFqtVnx17NgRAFBUVIQPP/wQS5cuxTPPPIPg4GCsX78eBw4cwMGDBwEAe/bswenTp/HRRx8hKCgI48ePx8KFC5Geng6bzQYAWLNmDfz9/bFkyRL06dMH8fHx+N3vfodly5aJOSxduhQzZsxAdHQ0AgICsGbNGnh4eGDdunWN8ZGJiIiI6BH3WGMM+sMPP8DHxwfu7u7Q6XRIS0tD165dkZOTA7vdjrCwMDG2d+/e6Nq1K0wmE4YOHQqTyYTAwEB4e3uLMXq9HrGxscjLy8OAAQNgMpkcxqiISUhIAADYbDbk5OQgKSlJ3O7i4oKwsDCYTKZq87ZarbBareKyxWIBANjtdtjt9jrXo+K99RmD6o71l5ZdrXb4LzUt1l9aVdafv4uaDH//S6cpa+/MPhq88Q0JCUFGRgZ69eqFq1evYsGCBXj66adx6tQpmM1muLm5oW3btg7v8fb2htlsBgCYzWaHprdie8W2mmIsFgtKSkpw8+ZNlJWVVRlz5syZanNPS0vDggULKq3fs2cPPDw8aleAGhiNxnqPQXXH+kvk129ZjPy2RVKsv7Qc6r9zp3SJyBR//0unKWp/586dWsc2eOM7fvx48f/79euHkJAQ+Pn5YcuWLVA/4mcckpKSYDAYxGWLxQJfX1+Eh4dDo9HUeVy73Q6j0YixY8dCqVQ2RKrkBNZfWnatFsZ16zB22jQoS0qkTkd27Go16y+hKutfVCRtUjLC3//SacraV3xDXxuNMtXhfm3btsWTTz6Jc+fOYezYsbDZbCgsLHQ465ufnw+tVgsA0Gq1le6+UHHXh/tjHrwTRH5+PjQaDdRqNVxdXeHq6lplTMUYVVGpVFCpVJXWK5XKBvmhNdQ4VDesfyOr7mr1X//BqywpYeMlIdZfWg715++hJsff/9Jpito7M36j38f39u3bOH/+PDp16oTg4GAolUpkZWWJ28+ePYuLFy9Cp9MBAHQ6HU6ePOlw9wWj0QiNRoOAgAAx5v4xKmIqxnBzc0NwcLBDTHl5ObKyssQYIiIiSdz/BEM+zZCoSTV44/vaa68hOzsbP/30Ew4cOIDf/va3cHV1xYsvvghPT0/ExMTAYDDgX//6F3JychAdHQ2dToehQ4cCAMLDwxEQEIApU6bg3//+N3bv3o158+YhLi5OPBs7a9Ys/Pjjj5g7dy7OnDmDVatWYcuWLUhMTBTzMBgM+Pvf/44NGzbg+++/R2xsLIqLixEdHd3QH5mIiIiImoEGn+rw888/48UXX8T169fx+OOPY8SIETh48CAef/xxAMCyZcvg4uKCyMhIWK1W6PV6rFq1Sny/q6srtm/fjtjYWOh0OrRq1QpRUVFITU0VY/z9/bFjxw4kJiZixYoV6NKlC9auXQu9Xi/GTJ48GdeuXUNycjLMZjOCgoKwa9euShe8EREREZE8NHjj+8knn9S43d3dHenp6UhPT682xs/PDzsfctVraGgojh8/XmNMfHw84uPja4whIiIiInlo9Dm+RERERESPAja+RERERCQLjX47MyJqgXgFOlHDq+rPlSA0fR5ELRjP+BIRERGRLLDxJSIiIiJZYONLRERERLLAxpeIiIiIZIEXtxERET2qqruQlBe9EdUJG18iqh7v3kBERC0IpzoQERERkSyw8SUiIiIiWeBUByIiouaGc3+J6oSNLxFxLi8REckCpzoQERERkSzwjC8REVFLUdW3N5z+QCTiGV8iIiIikgWe8SWSG87nJZIXXghHJOIZXyIiIiKSBZ7xJWqpeGaXiGrCM8EkQzzjS0RERESyIIvGNz09Hd26dYO7uztCQkJw+PBhqVMiajgKRdUvIqK64O8TasFafOO7efNmGAwGpKSk4NixY+jfvz/0ej0KCgqkTo3IefwLiYikwH9gUwvR4hvfpUuXYsaMGYiOjkZAQADWrFkDDw8PrFu3TurUiO6p7i8U/iVDRI86/q6iZqZFX9xms9mQk5ODpKQkcZ2LiwvCwsJgMpkqxVutVlitVnG5qKgIAHDjxg3Y7fY652G323Hnzh1cv34dSqWyzuNQ3TRq/bt0qf8Y7u71H+MRZnd3v1d/d3coedFMk2P9pSXb+qvVtY/9+edGS4N//0qnKWt/69YtAIBQiz9jLbrx/eWXX1BWVgZvb2+H9d7e3jhz5kyl+LS0NCxYsKDSen9//0bLkajFKy0FXnpJ6izki/WXFuv/cB07Sp0BtRC3bt2Cp6dnjTEtuvF1VlJSEgwGg7hcXl6OGzduoEOHDlDU46sbi8UCX19fXLp0CRqNpiFSJSew/tJi/aXF+kuL9ZcW6y+dpqy9IAi4desWfHx8Hhrbohvfjh07wtXVFfn5+Q7r8/PzodVqK8WrVCqoVCqHdW3btm2wfDQaDf/gSYj1lxbrLy3WX1qsv7RYf+k0Ve0fdqa3Qou+uM3NzQ3BwcHIysoS15WXlyMrKws6nU7CzIiIiIioqbXoM74AYDAYEBUVhUGDBmHIkCFYvnw5iouLER0dLXVqRERERNSEWnzjO3nyZFy7dg3Jyckwm80ICgrCrl27Kl3w1phUKhVSUlIqTaOgpsH6S4v1lxbrLy3WX1qsv3Qe1dorhNrc+4GIiIiIqJlr0XN8iYiIiIgqsPElIiIiIllg40tEREREssDGl4iIiIhkgY2vBHbs2IGQkBCo1Wq0a9cOEyZMkDol2bFarQgKCoJCoUBubq7U6cjCTz/9hJiYGPj7+0OtVqN79+5ISUmBzWaTOrUWKz09Hd26dYO7uztCQkJw+PBhqVOShbS0NAwePBht2rSBl5cXJkyYgLNnz0qdlmz95S9/gUKhQEJCgtSpyMbly5fxhz/8AR06dIBarUZgYCCOHj0qdVoA2Pg2uc8++wxTpkxBdHQ0/v3vf+O7777DS3yOe5ObO3durR5tSA3nzJkzKC8vx/vvv4+8vDwsW7YMa9aswZtvvil1ai3S5s2bYTAYkJKSgmPHjqF///7Q6/UoKCiQOrUWLzs7G3FxcTh48CCMRiPsdjvCw8NRXFwsdWqyc+TIEbz//vvo16+f1KnIxs2bNzF8+HAolUp89dVXOH36NJYsWYJ27dpJnRoA3s6sSd29exfdunXDggULEBMTI3U6svXVV1/BYDDgs88+Q9++fXH8+HEEBQVJnZYsLV68GKtXr8aPP/4odSotTkhICAYPHoyVK1cCuPfUSl9fX8yePRtvvPGGxNnJy7Vr1+Dl5YXs7GyMHDlS6nRk4/bt2xg4cCBWrVqFt99+G0FBQVi+fLnUabV4b7zxBr777jt88803UqdSJZ7xbULHjh3D5cuX4eLiggEDBqBTp04YP348Tp06JXVqspGfn48ZM2bgH//4Bzw8PKROR/aKiorQvn17qdNocWw2G3JychAWFiauc3FxQVhYGEwmk4SZyVNRUREA8FhvYnFxcYiIiHD4c0CN74svvsCgQYMwadIkeHl5YcCAAfj73/8udVoiNr5NqOKs1vz58zFv3jxs374d7dq1Q2hoKG7cuCFxdi2fIAiYOnUqZs2ahUGDBkmdjuydO3cOf/vb3/DHP/5R6lRanF9++QVlZWWVnlDp7e0Ns9ksUVbyVF5ejoSEBAwfPhxPPfWU1OnIxieffIJjx44hLS1N6lRk58cff8Tq1avRs2dP7N69G7GxsfjTn/6EDRs2SJ0aADa+DeKNN96AQqGo8VUxvxEA/vznPyMyMhLBwcFYv349FAoFMjMzJf4UzVdt6/+3v/0Nt27dQlJSktQptyi1rf/9Ll++jHHjxmHSpEmYMWOGRJkTNb64uDicOnUKn3zyidSpyMalS5fw6quvYuPGjXB3d5c6HdkpLy/HwIED8e6772LAgAGYOXMmZsyYgTVr1kidGgDgMakTaAn+53/+B1OnTq0x5oknnsDVq1cBAAEBAeJ6lUqFJ554AhcvXmzMFFu02tZ/7969MJlMlZ4bPmjQILz88suPzL9Gm5va1r/ClStXMHr0aAwbNgwffPBBI2cnTx07doSrqyvy8/Md1ufn50Or1UqUlfzEx8dj+/bt2L9/P7p06SJ1OrKRk5ODgoICDBw4UFxXVlaG/fv3Y+XKlbBarXB1dZUww5atU6dODn0OAPTp0wefffaZRBk5YuPbAB5//HE8/vjjD40LDg6GSqXC2bNnMWLECACA3W7HTz/9BD8/v8ZOs8Wqbf3fe+89vP322+LylStXoNfrsXnzZoSEhDRmii1abesP3DvTO3r0aPHbDhcXfunUGNzc3BAcHIysrCzxdonl5eXIyspCfHy8tMnJgCAImD17NrZu3Yp9+/bB399f6pRkZcyYMTh58qTDuujoaPTu3Ruvv/46m95GNnz48Eq37/vPf/7zyPQ5bHybkEajwaxZs5CSkgJfX1/4+flh8eLFAIBJkyZJnF3L17VrV4fl1q1bAwC6d+/OszFN4PLlywgNDYWfnx/++te/4tq1a+I2noVseAaDAVFRURg0aBCGDBmC5cuXo7i4GNHR0VKn1uLFxcVh06ZN+Pzzz9GmTRtxXrWnpyfUarXE2bV8bdq0qTSfulWrVujQoQPnWTeBxMREDBs2DO+++y5eeOEFHD58GB988MEj8w0fG98mtnjxYjz22GOYMmUKSkpKEBISgr179z4y97cjaixGoxHnzp3DuXPnKv1Dg3dVbHiTJ0/GtWvXkJycDLPZjKCgIOzatavSBW/U8FavXg0ACA0NdVi/fv36h04LImruBg8ejK1btyIpKQmpqanw9/fH8uXL8fLLL0udGgDex5eIiIiIZIIT7IiIiIhIFtj4EhEREZEssPElIiIiIllg40tEREREssDGl4iIiIhkgY0vEREREckCG18iIiIikgU2vkREREQkC2x8iYiIiEgW2PgSERERkSyw8SUiIiIiWWDjS0RERESy8P8BtHcY/tMJcrsAAAAASUVORK5CYII="},"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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asyfP99kiIGHhwdKSkqQlJSE4OBg9OvXDxkZGeJUZgAwZswYbNy4Eenp6Xj11VcxdOhQFBUV4YEHHhBjFi5ciNraWiQkJKC6uhqPPfYYiouLW4w5JiKJMzcpuSDc/TyIiKhLs7jwDQsLg9DOB05CQoJJkXq70aNHY+/eve0eZ+TIkfj666/bjImNjUVsbGyr6xUKBbKzs5Gdnd3u8YiIiIioe7PpPL5ERERERFLBwpeIiIiIZIGFLxERERHJAgtfIiIiIpIFFr5EREREJAssfImIiIhIFmx25zYiIrswN+cvwHl/iYiIhS8RyRiLZCIiWWHhS0TWYY0isrV9EBERWQHH+BIRERGRLLDwJSIiIiJZYOFLRERERLLAwpeIiIiIZIGFLxERERHJAgtfIiIiIpIFFr5EREREJAssfImIiIhIFlj4EhEREZEs8M5tRGRbvC0wERFJBAtfIrKPu317Yt4OmYhI9jjUgYja5uHxU9F4+4OIiKgLsrjw3b17NyZNmgQ/Pz8oFAoUFRWZrJ81axYUCoXJY+LEiSYxV69exYwZM+Du7o4+ffogPj4e169fN4k5fPgwHn/8cbi4uMDf3x/Lli1rkcvWrVsxfPhwuLi4IDAwEF988YXJekEQkJGRAV9fX7i6uiIiIgKnTp2y9JSJiIiIqBuwuPCtra3FqFGjkJeX12rMxIkTcfHiRfGxadMmk/UzZszAsWPHoNVqsW3bNuzevRsJCQnieoPBgMjISAQEBKC8vBy5ubnIzMzEu+++K8bs2bMH06ZNQ3x8PA4dOoSYmBjExMTg6NGjYsyyZcuwZs0a5Ofno6ysDD179oRGo8HNmzctPW0iIvm6s8efvf5E1EVZPMY3KioKUVFRbcYolUqoVCqz6/7973+juLgY+/fvx0MPPQQA+POf/4wnnngCb775Jvz8/LBhwwY0NDSgoKAAzs7OuP/++1FRUYEVK1aIBfLq1asxceJELFiwAACwdOlSaLVarF27Fvn5+RAEAatWrUJ6ejqefPJJAMCHH34IHx8fFBUVYerUqZaeOhHJnbmCjz/SIyLqMmwyxnfnzp3w9vbGsGHDkJiYiCtXrojrdDod+vTpIxa9ABAREQEHBweUlZWJMWPHjoWzs7MYo9FocPLkSVy7dk2MiYiIMDmuRqOBTqcDAFRWVkKv15vEeHh4ICQkRIwhIiIiIvmw+qwOEydOxFNPPQW1Wo0zZ87g1VdfRVRUFHQ6HRwdHaHX6+Ht7W2aRI8e8PLygl6vBwDo9Xqo1WqTGB8fH3Gdp6cn9Hq9uOz2mNv3cft25mLuVF9fj/r6evG5wWAAABiNRhiNRouuA3VM83Xl9ZUesW1cXc2tbLnMXJwttfZvxhp5WLLvu/xv1y6vGQmcd1fA9zPpYttIlzXaxpJtrV743j6EIDAwECNHjsTgwYOxc+dOjB8/3tqHs6qcnBxkZWW1WF5SUgI3Nzc7ZCQfWq3W3ilQK7QFBS0X3vFDUgDAHWP5bc5cDtbKw5J9txZrY3f1NSOh8+4K+H4mXWwb6epM29y4caPDsTafx/fee+9Fv379cPr0aYwfPx4qlQqXLl0yibl16xauXr0qjgtWqVSoqqoyiWl+3l7M7eubl/n6+prEBAUFmc01LS0Nqamp4nODwQB/f39ERkbC3d3d0lOnDjAajdBqtZgwYQKcnJzsnQ7dRmybOXPgVFdnurKmpuUGHh53J7G2crBWHpbsu7VYG7HLa0YC590V8P1Mutg20mWNtmn+hr4jbF74/vDDD7hy5YpYfIaGhqK6uhrl5eUIDg4GAOzYsQNNTU0ICQkRY1577TUYjUbxImi1WgwbNgyenp5iTGlpKVJSUsRjabVahIaGAgDUajVUKhVKS0vFQtdgMKCsrAyJiYlmc1UqlVAqlS2WOzk58YViY7zG0uVUV9ey8DXXVnfG2NptvwGw677t9O/2rr5mzLUtX6+t4vuZdLFtpKszbWPJdhb/uO369euoqKhARUUFgJ9+RFZRUYFz587h+vXrWLBgAfbu3YuzZ8+itLQUTz75JIYMGQKNRgMAuO+++zBx4kTMnTsX+/btwzfffIPk5GRMnToVfn5+AIDp06fD2dkZ8fHxOHbsGLZs2YLVq1eb9Ma+9NJLKC4uxvLly3HixAlkZmbiwIEDSE5OBgAoFAqkpKTg9ddfx2effYYjR45g5syZ8PPzQ0xMjKWnTURERERdnMU9vgcOHEB4eLj4vLkYjYuLw9tvv43Dhw9j/fr1qK6uhp+fHyIjI7F06VKTntQNGzYgOTkZ48ePh4ODAyZPnow1a9aI6z08PFBSUoKkpCQEBwejX79+yMjIMJnrd8yYMdi4cSPS09Px6quvYujQoSgqKsIDDzwgxixcuBC1tbVISEhAdXU1HnvsMRQXF8PFxcXS0yYiIiKiLs7iwjcsLAxCG/NWbt++vd19eHl5YePGjW3GjBw5El9//XWbMbGxsYiNjW11vUKhQHZ2NrKzs9vNiYiIiIi6N5vM40tEREREJDU2/3EbERGRWa3d+ph3wyMiG2GPLxERERHJAgtfIiIiIpIFDnUgIsu19hU1ERGRhLHHl4iIiIhkgYUvEREREckChzoQEZHlOCMDEXVB7PElIrI3hcL8wxwPj//+t73Y1vZNRCRT7PElIuoOWNASEbWLPb5EREREJAssfImIiIhIFlj4EhEREZEscIwvEZHccEYGIpIp9vgSEUkVZ2QgIrIq9vgSyY254ok9fUREJAMsfImI7qbu3mvLYRREJGEc6kBE5r9Sb75RAhERUTfBwpeIiIiIZIGFLxERERHJAsf4EhHZQncfy0tE1AVZ3OO7e/duTJo0CX5+flAoFCgqKhLXGY1GLFq0CIGBgejZsyf8/Pwwc+ZMXLhwwWQfgwYNgkKhMHm88cYbJjGHDx/G448/DhcXF/j7+2PZsmUtctm6dSuGDx8OFxcXBAYG4osvvjBZLwgCMjIy4OvrC1dXV0RERODUqVOWnjIRERERdQMWF761tbUYNWoU8vLyWqy7ceMGDh48iMWLF+PgwYP429/+hpMnT+K3v/1ti9js7GxcvHhRfLzwwgviOoPBgMjISAQEBKC8vBy5ubnIzMzEu+++K8bs2bMH06ZNQ3x8PA4dOoSYmBjExMTg6NGjYsyyZcuwZs0a5Ofno6ysDD179oRGo8HNmzctPW0iIvPM/TCQvb1ERJJk8VCHqKgoREVFmV3n4eEBrVZrsmzt2rV45JFHcO7cOdxzzz3i8t69e0OlUpndz4YNG9DQ0ICCggI4Ozvj/vvvR0VFBVasWIGEhAQAwOrVqzFx4kQsWLAAALB06VJotVqsXbsW+fn5EAQBq1atQnp6Op588kkAwIcffggfHx8UFRVh6tSplp46EREREXVhNv9xW01NDRQKBfr06WOy/I033kDfvn3x4IMPIjc3F7du3RLX6XQ6jB07Fs7OzuIyjUaDkydP4tq1a2JMRESEyT41Gg10Oh0AoLKyEnq93iTGw8MDISEhYgwREXUR7FknIiuw6Y/bbt68iUWLFmHatGlwd3cXl7/44osYPXo0vLy8sGfPHqSlpeHixYtYsWIFAECv10OtVpvsy8fHR1zn6ekJvV4vLrs9Rq/Xi3G3b2cu5k719fWor68XnxsMBgA/jV02Go0Wnz+1r/m68vreRa6uHQoz/hxn7GA83R02bZfWXofWOJa5fbe2X0ti3dzML6+p6VheVsT3M+li20iXNdrGkm1tVvgajUY8/fTTEAQBb7/9tsm61NRU8e+RI0fC2dkZ8+bNQ05ODpRKpa1SaldOTg6ysrJaLC8pKYFba2+uZBV3DpEhG9q0yaJwbUGBjRKhzrBJu9zxA2GRhf9mOrzv1vZrSawlx7tL+H4mXWwb6epM29y4caPDsTYpfJuL3u+++w47duww6e01JyQkBLdu3cLZs2cxbNgwqFQqVFVVmcQ0P28eF9xazO3rm5f5+vqaxAQFBZnNIy0tzaQoNxgM8Pf3R2RkZLvnQL+M0WiEVqvFhAkT4OTkZO90updO3nnN6OoKbUEBJsyZA6e6OislRZ1l03ZprZfUGnfxM7fv1vZrSawlx7Mxvp9JF9tGuqzRNs3f0HeE1Qvf5qL31KlT+Oqrr9C3b992t6moqICDgwO8vb0BAKGhoXjttddgNBrFi6DVajFs2DB4enqKMaWlpUhJSRH3o9VqERoaCgBQq9VQqVQoLS0VC12DwYCysjIkJiaazUOpVJrtcXZycuILxcZ4jW3ASkWRU10dC18Jskm7tPYatMZxzO27tf1aEmvJ8e4Svp9JF9tGujrTNpZsZ3Hhe/36dZw+fVp8XllZiYqKCnh5ecHX1xdTpkzBwYMHsW3bNjQ2Norjab28vODs7AydToeysjKEh4ejd+/e0Ol0mD9/Pn7/+9+LRe306dORlZWF+Ph4LFq0CEePHsXq1auxcuVK8bgvvfQSxo0bh+XLlyM6OhqbN2/GgQMHxCnPFAoFUlJS8Prrr2Po0KFQq9VYvHgx/Pz8EBMTY+lpExFRZ9ztH6KZO54g3N0ciEhyLC58Dxw4gPDwcPF589CAuLg4ZGZm4rPPPgOAFsMJvvrqK4SFhUGpVGLz5s3IzMxEfX091Go15s+fbzLEwMPDAyUlJUhKSkJwcDD69euHjIwMcSozABgzZgw2btyI9PR0vPrqqxg6dCiKiorwwAMPiDELFy5EbW0tEhISUF1djcceewzFxcVwcXGx9LSJiIiIqIuzuPANCwuD0Mb/Nbe1DgBGjx6NvXv3tnuckSNH4uuvv24zJjY2FrGxsa2uVygUyM7ORnZ2drvHIyIiIqLuzebz+BIRERERSYFN5/ElIqIuhDeEIKJujj2+RERERCQLLHyJiIiISBZY+BIRERGRLLDwJSIiIiJZYOFLRERERLLAwpeIiIiIZIHTmRERkbRwWjUishH2+BIRERGRLLDwJSIiIiJZ4FAHoq6OXwsTERF1CHt8iYiIiEgW2ONLRERkjrlvUwTh7udBRFbDwpeoK+GwBiIiol+MQx2IiIiISBZY+BIRERGRLLDwJSIiIiJZYOFLRERERLLAwpeIiIiIZIGFLxERERHJAqczI5IiTltGRERkdRb3+O7evRuTJk2Cn58fFAoFioqKTNYLgoCMjAz4+vrC1dUVEREROHXqlEnM1atXMWPGDLi7u6NPnz6Ij4/H9evXTWIOHz6Mxx9/HC4uLvD398eyZcta5LJ161YMHz4cLi4uCAwMxBdffGFxLkREREQkDxYXvrW1tRg1ahTy8vLMrl+2bBnWrFmD/Px8lJWVoWfPntBoNLh586YYM2PGDBw7dgxarRbbtm3D7t27kZCQIK43GAyIjIxEQEAAysvLkZubi8zMTLz77rtizJ49ezBt2jTEx8fj0KFDiImJQUxMDI4ePWpRLkREREQkE0InABA++eQT8XlTU5OgUqmE3NxccVl1dbWgVCqFTZs2CYIgCMePHxcACPv37xdj/vGPfwgKhUI4f/68IAiC8NZbbwmenp5CfX29GLNo0SJh2LBh4vOnn35aiI6ONsknJCREmDdvXodzaU9NTY0AQKipqelQPFmuoaFBKCoqEhoaGuydirT8dGNUuz4aXF1/ahtXV7vnwgfbxSoPa7wO28D3M+li20iXNdrGknrNqmN8KysrodfrERERIS7z8PBASEgIdDodpk6dCp1Ohz59+uChhx4SYyIiIuDg4ICysjL87ne/g06nw9ixY+Hs7CzGaDQa/OlPf8K1a9fg6ekJnU6H1NRUk+NrNBpx6EVHcrlTfX096uvrxecGgwEAYDQaYTQaO3dxyKzm68rrewdXV3tnAOPPORglkAv9F9ulEyx9nzF3jdvYB9/PpIttI13WaBtLtrVq4avX6wEAPj4+Jst9fHzEdXq9Ht7e3qZJ9OgBLy8vkxi1Wt1iH83rPD09odfr2z1Oe7ncKScnB1lZWS2Wl5SUwM3NrZWzJmvQarX2TkFaNm2ydwYibUGBvVMgM9guv8AdvwNpl7nXYQf2wfcz6WLbSFdn2ubGjRsdjuWsDrdJS0sz6UU2GAzw9/dHZGQk3N3d7ZhZ92U0GqHVajFhwgQ4OTnZOx3p8PCwdwYwurpCW1CACXPmwKmuzt7p0M/YLp1QU2NZvLnXYRv7MPt+ZuE+yDb4WSNd1mib5m/oO8Kqha9KpQIAVFVVwdfXV1xeVVWFoKAgMebSpUsm2926dQtXr14Vt1epVKiqqjKJaX7eXszt69vL5U5KpRJKpbLFcicnJ75QbIzX+A4SKmic6upYYEkQ2+UXuG34nAlBML/c3PXtwPuUyfvZL9wH2QY/a6SrM21jyXZWvYGFWq2GSqVCaWmpuMxgMKCsrAyhoaEAgNDQUFRXV6O8vFyM2bFjB5qamhASEiLG7N6922TMhlarxbBhw+Dp6SnG3H6c5pjm43QkFyIiIiKSD4sL3+vXr6OiogIVFRUAfvoRWUVFBc6dOweFQoGUlBS8/vrr+Oyzz3DkyBHMnDkTfn5+iImJAQDcd999mDhxIubOnYt9+/bhm2++QXJyMqZOnQo/Pz8AwPTp0+Hs7Iz4+HgcO3YMW7ZswerVq02GIbz00ksoLi7G8uXLceLECWRmZuLAgQNITk4GgA7lQkREZBUKxX+HNXh4/PScN6IhkhyLhzocOHAA4eHh4vPmYjQuLg6FhYVYuHAhamtrkZCQgOrqajz22GMoLi6Gi4uLuM2GDRuQnJyM8ePHw8HBAZMnT8aaNWvE9R4eHigpKUFSUhKCg4PRr18/ZGRkmMz1O2bMGGzcuBHp6el49dVXMXToUBQVFeGBBx4QYzqSCxERERHJg8WFb1hYGITWxkPhp57W7OxsZGdntxrj5eWFjRs3tnmckSNH4uuvv24zJjY2FrGxsZ3KhYiIiIjkgbM6EBER3U2tDYFoo1OJiKyDhS8RERG1jcU6dRNWndWBiIiIiEiq2ONLRERE/8XZKKgbY48vEREREckCC18iIiIikgUOdSAiIuooDgMg6tLY40tEREREssAeXyIiIqmyxjRinIqMSMQeXyIiIiKSBRa+RERERCQLHOpARETy1p1+sNadzoXIBtjjS0RERESywMKXiIiIiGSBhS8RERERyQLH+BIREckRxwOTDLHHl4iIiIhkgT2+REREXQ17a4l+Efb4EhEREZEssPAlIiIiIlngUAciIiL6ZVobciEIdzcPog6yeo/voEGDoFAoWjySkpIAAGFhYS3WPf/88yb7OHfuHKKjo+Hm5gZvb28sWLAAt27dMonZuXMnRo8eDaVSiSFDhqCwsLBFLnl5eRg0aBBcXFwQEhKCffv2Wft0iYiIiKiLsHrhu3//fly8eFF8aLVaAEBsbKwYM3fuXJOYZcuWiesaGxsRHR2NhoYG7NmzB+vXr0dhYSEyMjLEmMrKSkRHRyM8PBwVFRVISUnBc889h+3bt4sxW7ZsQWpqKpYsWYKDBw9i1KhR0Gg0uHTpkrVPmahjFArzDyIiIrorrF749u/fHyqVSnxs27YNgwcPxrhx48QYNzc3kxh3d3dxXUlJCY4fP46PPvoIQUFBiIqKwtKlS5GXl4eGhgYAQH5+PtRqNZYvX4777rsPycnJmDJlClauXCnuZ8WKFZg7dy5mz56NESNGID8/H25ubigoKLD2KRMRERFRF2DTMb4NDQ346KOPkJqaCsVtPVsbNmzARx99BJVKhUmTJmHx4sVwc3MDAOh0OgQGBsLHx0eM12g0SExMxLFjx/Dggw9Cp9MhIiLC5FgajQYpKSniccvLy5GWliaud3BwQEREBHQ6Xav51tfXo76+XnxuMBgAAEajEUaj8ZdfCGpV83WVxfV1dTW/3Ny5txZ7Fxl/zsEogVzov9gu0tXptvn5c9BEV21nib2ny+qzpouxRttYsq1NC9+ioiJUV1dj1qxZ4rLp06cjICAAfn5+OHz4MBYtWoSTJ0/ib3/7GwBAr9ebFL0AxOd6vb7NGIPBgLq6Oly7dg2NjY1mY06cONFqvjk5OcjKymqxvKSkRCzMyTaah8R0a5s2mV/+xRcdj7UDLb8lkSS2i3SxbWD+fU0CZPFZ00V1pm1u3LjR4VibFr4ffPABoqKi4OfnJy5LSEgQ/w4MDISvry/Gjx+PM2fOYPDgwbZMp11paWlITU0VnxsMBvj7+yMyMtJkOAZZj9FohFarxYQJE+Dk5GTvdGzLw8P88pqajsfeRUZXV2gLCjBhzhw41dXZOx36GdtFutg27TD3XneXyOqzpouxRts0f0PfETYrfL/77jt8+eWXYk9ua0JCQgAAp0+fxuDBg6FSqVrMvlBVVQUAUKlU4n+bl90e4+7uDldXVzg6OsLR0dFsTPM+zFEqlVAqlS2WOzk58YViY7K4xq19EJo7bwl9aDrV1fFDXILYLtLFtmmFNd7jOzl9miw+a7qozrSNJdvZ7AYW69atg7e3N6Kjo9uMq6ioAAD4+voCAEJDQ3HkyBGT2Re0Wi3c3d0xYsQIMaa0tNRkP1qtFqGhoQAAZ2dnBAcHm8Q0NTWhtLRUjCEiIiIiebFJ4dvU1IR169YhLi4OPXr8t1P5zJkzWLp0KcrLy3H27Fl89tlnmDlzJsaOHYuRI0cCACIjIzFixAg8++yz+Ne//oXt27cjPT0dSUlJYm/s888/j2+//RYLFy7EiRMn8NZbb+Hjjz/G/PnzxWOlpqbivffew/r16/Hvf/8biYmJqK2txezZs21xykREREQkcTYZ6vDll1/i3LlzmDNnjslyZ2dnfPnll1i1ahVqa2vh7++PyZMnIz09XYxxdHTEtm3bkJiYiNDQUPTs2RNxcXHIzs4WY9RqNT7//HPMnz8fq1evxsCBA/H+++9Do9GIMc888wwuX76MjIwM6PV6BAUFobi4uMUP3oiIiIhIHmxS+EZGRkIwM97G398fu3btanf7gIAAfNHOL0LDwsJw6NChNmOSk5ORnJzc7vGIiIjITsyN2+Utj8lGbDqrAxF1AO/eRkRywPc6kgCb/biNiIiIiEhK2ONLRERE0sLeYbIR9vgSERERkSyw8CUiIiIiWWDhS0RERESywMKXiIiIiGSBhS8RERERyQILXyIiIiKSBU5nRmRtnIaHiIhIktjjS0RERESywMKXiIiIiGSBhS8RERERyQILXyIiIiKSBRa+RERERCQLLHyJiIiISBZY+BIRERGRLLDwJSIiIiJZ4A0siDqDN6sgIiLqMtjjS0RERESywMKXiIiIiGTB6oVvZmYmFAqFyWP48OHi+ps3byIpKQl9+/ZFr169MHnyZFRVVZns49y5c4iOjoabmxu8vb2xYMEC3Lp1yyRm586dGD16NJRKJYYMGYLCwsIWueTl5WHQoEFwcXFBSEgI9u3bZ+3TJSIiIqIuwiY9vvfffz8uXrwoPv75z3+K6+bPn4+///3v2Lp1K3bt2oULFy7gqaeeEtc3NjYiOjoaDQ0N2LNnD9avX4/CwkJkZGSIMZWVlYiOjkZ4eDgqKiqQkpKC5557Dtu3bxdjtmzZgtTUVCxZsgQHDx7EqFGjoNFocOnSJVucMhERERFJnE0K3x49ekClUomPfv36AQBqamrwwQcfYMWKFfj1r3+N4OBgrFu3Dnv27MHevXsBACUlJTh+/Dg++ugjBAUFISoqCkuXLkVeXh4aGhoAAPn5+VCr1Vi+fDnuu+8+JCcnY8qUKVi5cqWYw4oVKzB37lzMnj0bI0aMQH5+Ptzc3FBQUGCLUyYiIiIiibPJrA6nTp2Cn58fXFxcEBoaipycHNxzzz0oLy+H0WhERESEGDt8+HDcc8890Ol0+NWvfgWdTofAwED4+PiIMRqNBomJiTh27BgefPBB6HQ6k300x6SkpAAAGhoaUF5ejrS0NHG9g4MDIiIioNPpWs27vr4e9fX14nODwQAAMBqNMBqNnbomZF7zde2y19fV1d4Z2Izx53MzduNz7IrYLtLFtrGjdj5DuvxnTTdmjbaxZFurF74hISEoLCzEsGHDcPHiRWRlZeHxxx/H0aNHodfr4ezsjD59+phs4+PjA71eDwDQ6/UmRW/z+uZ1bcUYDAbU1dXh2rVraGxsNBtz4sSJVnPPyclBVlZWi+UlJSVwc3Pr2AWgX0Sr1do7hV9m0yZ7Z2BzWn5LIklsF+li29jBF190KKzLftbIQGfa5saNGx2OtXrhGxUVJf49cuRIhISEICAgAB9//DFcJf5/wWlpaUhNTRWfGwwG+Pv7IzIyEu7u7nbMrPsyGo3QarWYMGECnJyc7J2O5Tw87J2BzRhdXaEtKMCEOXPgVFdn73ToZ2wX6WLb2FFNTZuru/xnTTdmjbZp/oa+I2x+A4s+ffrgf/7nf3D69GlMmDABDQ0NqK6uNun1raqqgkqlAgCoVKoWsy80z/pwe8ydM0FUVVXB3d0drq6ucHR0hKOjo9mY5n2Yo1QqoVQqWyx3cnLiC8XGuuw1lsGHm1NdHT/EJYjtIl1sGzvo4OdHl/2skYHOtI0l29l8Ht/r16/jzJkz8PX1RXBwMJycnFBaWiquP3nyJM6dO4fQ0FAAQGhoKI4cOWIy+4JWq4W7uztGjBghxty+j+aY5n04OzsjODjYJKapqQmlpaViDBERERHJi9UL35dffhm7du3C2bNnsWfPHvzud7+Do6Mjpk2bBg8PD8THxyM1NRVfffUVysvLMXv2bISGhuJXv/oVACAyMhIjRozAs88+i3/961/Yvn070tPTkZSUJPbGPv/88/j222+xcOFCnDhxAm+99RY+/vhjzJ8/X8wjNTUV7733HtavX49///vfSExMRG1tLWbPnm3tUyYiIiKpUSj++2geltaNh6dRx1h9qMMPP/yAadOm4cqVK+jfvz8ee+wx7N27F/379wcArFy5Eg4ODpg8eTLq6+uh0Wjw1ltvids7Ojpi27ZtSExMRGhoKHr27Im4uDhkZ2eLMWq1Gp9//jnmz5+P1atXY+DAgXj//feh0WjEmGeeeQaXL19GRkYG9Ho9goKCUFxc3OIHb0REREQkD1YvfDdv3tzmehcXF+Tl5SEvL6/VmICAAHzRzi80w8LCcOjQoTZjkpOTkZyc3GYMEREREcmDzcf4EhERERFJAQtfIiIiIpIFFr5EREREJAssfImIiIhIFlj4EhEREZEssPAlIiIiIlmw+S2LiboFhcLeGRAREVEnsceXiIiIiGSBPb5EREQkH5Z8gycItsuD7IKFLxEREXVtHI5GHcShDkREREQkCyx8iYiIiEgWWPgSERERkSyw8CUiIiIiWeCP24huxx9IEBERdVvs8SUiIiIiWWDhS0RERESywKEOREREROa0NvyNN7bostjjS0RERESywMKXiIiIiGSBhS8RERERyYLVC9+cnBw8/PDD6N27N7y9vRETE4OTJ0+axISFhUGhUJg8nn/+eZOYc+fOITo6Gm5ubvD29saCBQtw69Ytk5idO3di9OjRUCqVGDJkCAoLC1vkk5eXh0GDBsHFxQUhISHYt2+ftU+ZiIiIiLoAqxe+u3btQlJSEvbu3QutVguj0YjIyEjU1taaxM2dOxcXL14UH8uWLRPXNTY2Ijo6Gg0NDdizZw/Wr1+PwsJCZGRkiDGVlZWIjo5GeHg4KioqkJKSgueeew7bt28XY7Zs2YLU1FQsWbIEBw8exKhRo6DRaHDp0iVrnzYRERERSZzVZ3UoLi42eV5YWAhvb2+Ul5dj7Nix4nI3NzeoVCqz+ygpKcHx48fx5ZdfwsfHB0FBQVi6dCkWLVqEzMxMODs7Iz8/H2q1GsuXLwcA3HffffjnP/+JlStXQqPRAABWrFiBuXPnYvbs2QCA/Px8fP755ygoKMArr7xi7VMnIiIiIgmz+XRmNTU1AAAvLy+T5Rs2bMBHH30ElUqFSZMmYfHixXBzcwMA6HQ6BAYGwsfHR4zXaDRITEzEsWPH8OCDD0Kn0yEiIsJknxqNBikpKQCAhoYGlJeXIy0tTVzv4OCAiIgI6HQ6s7nW19ejvr5efG4wGAAARqMRRqPxF14BakvzdbXL9fXwaLnM1fXu5yFRxp+vhZHXRFLYLtLFtpEuq7cNawKrsUYdYMm2Ni18m5qakJKSgkcffRQPPPCAuHz69OkICAiAn58fDh8+jEWLFuHkyZP429/+BgDQ6/UmRS8A8bler28zxmAwoK6uDteuXUNjY6PZmBMnTpjNNycnB1lZWS2Wl5SUiEU52YZWq737B9206e4fswvSFhTYOwUyg+0iXWwb6bJa23zxhXX2Q6LO1AE3btzocKxNC9+kpCQcPXoU//znP02WJyQkiH8HBgbC19cX48ePx5kzZzB48GBbptSmtLQ0pKamis8NBgP8/f0RGRkJd3d3u+XVnRmNRmi1WkyYMAFOTk539+DmenxJZHR1hbagABPmzIFTXZ2906GfsV2ki20jXVZvm5+/zabOs0Yd0PwNfUfYrPBNTk7Gtm3bsHv3bgwcOLDN2JCQEADA6dOnMXjwYKhUqhazL1RVVQGAOC5YpVKJy26PcXd3h6urKxwdHeHo6Gg2prWxxUqlEkqlssVyJyenu1+UyYxdrjE/mDrEqa6OH+ISxHaRLraNdFmtbVgTWF1n6gBLtrP6rA6CICA5ORmffPIJduzYAbVa3e42FRUVAABfX18AQGhoKI4cOWIy+4JWq4W7uztGjBghxpSWlprsR6vVIjQ0FADg7OyM4OBgk5impiaUlpaKMUREREQkH1bv8U1KSsLGjRvx6aefonfv3uKYXA8PD7i6uuLMmTPYuHEjnnjiCfTt2xeHDx/G/PnzMXbsWIwcORIAEBkZiREjRuDZZ5/FsmXLoNfrkZ6ejqSkJLFH9vnnn8fatWuxcOFCzJkzBzt27MDHH3+Mzz//XMwlNTUVcXFxeOihh/DII49g1apVqK2tFWd5ICIiIiL5sHrh+/bbbwP46SYVt1u3bh1mzZoFZ2dnfPnll2IR6u/vj8mTJyM9PV2MdXR0xLZt25CYmIjQ0FD07NkTcXFxyM7OFmPUajU+//xzzJ8/H6tXr8bAgQPx/vvvi1OZAcAzzzyDy5cvIyMjA3q9HkFBQSguLm7xgzfq5hQKe2dAREREEmD1wlcQhDbX+/v7Y9euXe3uJyAgAF+086vJsLAwHDp0qM2Y5ORkJCcnt3s8IiIiIurebD6PLxEREZEsmPuGsZ0OQbq7WPgSERER2Uprw+1YENuF1Wd1ICIiIiKSIvb4EhEREVmCP5rustjjS0RERESywB5fIiIioruNP4SzC/b4EhEREZEssPAlIiIiIllg4UtEREREssAxvtQ1cWwUERERWYiFL3UfnF6GiIiI2sChDkREREQkCyx8iYiIiEgWWPgSERERkSyw8CUiIiIiWWDhS0RERESywMKXiIiIiGSB05kRERERSUFr03JynnqrYeFL0sGbUhAREZENcagDEREREckCe3xJ2ng3NiIiIrISWfT45uXlYdCgQXBxcUFISAj27dtn75SIiIiIOkehaPmgNnX7wnfLli1ITU3FkiVLcPDgQYwaNQoajQaXLl2yd2rdn7kXJF+URERE0iGzz+luX/iuWLECc+fOxezZszFixAjk5+fDzc0NBQUF9k6ta7JGMXv7dh4ePy1r/i8RERGZsuSzt7VYW3ZGdaHiuVuP8W1oaEB5eTnS0tLEZQ4ODoiIiIBOp2sRX19fj/r6evF5TU0NAODq1aswGo22T7jZwIEtl/3ww909XmtcXMwvd3XteOxtjC4uuHHjBq64uMCJMzhICttGmtgu0sW2kS62jYWuXLEs3tznfQf3YTQaf2qbK1fg5ORk2XF/9uOPPwIAhI60rdCNnT9/XgAg7Nmzx2T5ggULhEceeaRF/JIlSwQAfPDBBx988MEHH3x0scf333/fbm3YrXt8LZWWlobU1FTxeVNTE65evYq+fftCIeFu+67MYDDA398f33//Pdzd3e2dDt2GbSNNbBfpYttIF9tGuqzRNoIg4Mcff4Sfn1+7sd268O3Xrx8cHR1RVVVlsryqqgoqlapFvFKphFKpNFnWp08fW6ZIP3N3d+ebkUSxbaSJ7SJdbBvpYttIV2fbxqODvxXq1j9uc3Z2RnBwMEpLS8VlTU1NKC0tRWhoqB0zIyIiIqK7rVv3+AJAamoq4uLi8NBDD+GRRx7BqlWrUFtbi9mzZ9s7NSIiIiK6i7p94fvMM8/g8uXLyMjIgF6vR1BQEIqLi+Hj42Pv1Ag/DS9ZsmRJiyEmZH9sG2liu0gX20a62DbSdbfbRiEInNeDiIiIiLq/bj3Gl4iIiIioGQtfIiIiIpIFFr5EREREJAssfImIiIhIFlj4kiScPXsW8fHxUKvVcHV1xeDBg7FkyRI0NDTYOzUC8L//+78YM2YM3NzceFMXO8vLy8OgQYPg4uKCkJAQ7Nu3z94pyd7u3bsxadIk+Pn5QaFQoKioyN4p0c9ycnLw8MMPo3fv3vD29kZMTAxOnjxp77Rk7+2338bIkSPFm1aEhobiH//4x105NgtfkoQTJ06gqakJ77zzDo4dO4aVK1ciPz8fr776qr1TIwANDQ2IjY1FYmKivVORtS1btiA1NRVLlizBwYMHMWrUKGg0Gly6dMneqclabW0tRo0ahby8PHunQnfYtWsXkpKSsHfvXmi1WhiNRkRGRqK2ttbeqcnawIED8cYbb6C8vBwHDhzAr3/9azz55JM4duyYzY/N6cxIsnJzc/H222/j22+/tXcq9LPCwkKkpKSgurra3qnIUkhICB5++GGsXbsWwE93ovT398cLL7yAV155xc7ZEQAoFAp88skniImJsXcqZMbly5fh7e2NXbt2YezYsfZOh27j5eWF3NxcxMfH2/Q47PElyaqpqYGXl5e90yCShIaGBpSXlyMiIkJc5uDggIiICOh0OjtmRtR11NTUAAA/WySksbERmzdvRm1tLUJDQ21+vG5/5zbqmk6fPo0///nPePPNN+2dCpEk/Oc//0FjY2OLu076+PjgxIkTdsqKqOtoampCSkoKHn30UTzwwAP2Tkf2jhw5gtDQUNy8eRO9evXCJ598ghEjRtj8uOzxJZt65ZVXoFAo2nzc+aF9/vx5TJw4EbGxsZg7d66dMu/+fknbEBF1VUlJSTh69Cg2b95s71QIwLBhw1BRUYGysjIkJiYiLi4Ox48ft/lx2eNLNvWHP/wBs2bNajPm3nvvFf++cOECwsPDMWbMGLz77rs2zk7eLG0bsq9+/frB0dERVVVVJsurqqqgUqnslBVR15CcnIxt27Zh9+7dGDhwoL3TIQDOzs4YMmQIACA4OBj79+/H6tWr8c4779j0uCx8yab69++P/v37dyj2/PnzCA8PR3BwMNatWwcHB34hYUuWtA3Zn7OzM4KDg1FaWir+cKqpqQmlpaVITk62b3JEEiUIAl544QV88skn2LlzJ9Rqtb1TolY0NTWhvr7e5sdh4UuScP78eYSFhSEgIABvvvkmLl++LK5jb5b9nTt3DlevXsW5c+fQ2NiIiooKAMCQIUPQq1cv+yYnI6mpqYiLi8NDDz2ERx55BKtWrUJtbS1mz55t79Rk7fr16zh9+rT4vLKyEhUVFfDy8sI999xjx8woKSkJGzduxKefforevXtDr9cDADw8PODq6mrn7OQrLS0NUVFRuOeee/Djjz9i48aN2LlzJ7Zv327zY3M6M5KEwsLCVj+8+U/U/mbNmoX169e3WP7VV18hLCzs7ickY2vXrkVubi70ej2CgoKwZs0ahISE2DstWdu5cyfCw8NbLI+Li0NhYeHdT4hECoXC7PJ169a1O9SLbCc+Ph6lpaW4ePEiPDw8MHLkSCxatAgTJkyw+bFZ+BIRERGRLHAQJRERERHJAgtfIiIiIpIFFr5EREREJAssfImIiIhIFlj4EhEREZEssPAlIiIiIllg4UtEREREssDCl4iIiIhkgYUvEREREckCC18iIiIikgUWvkREREQkCyx8iYiIiEgW/j8gmsD9MuuzPQAAAABJRU5ErkJggg=="},"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":{}},{"traceback":["\u001b[0;31m---------------------------------------------------------------------------\u001b[0m","\u001b[0;31mValueError\u001b[0m                                Traceback (most recent call last)","Cell \u001b[0;32mIn[103], line 5\u001b[0m\n\u001b[1;32m      3\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m f \u001b[38;5;241m!=\u001b[39m \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mfeature_21\u001b[39m\u001b[38;5;124m'\u001b[39m \u001b[38;5;129;01mand\u001b[39;00m f\u001b[38;5;241m!=\u001b[39m \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mfeature_26\u001b[39m\u001b[38;5;124m'\u001b[39m:\n\u001b[1;32m      4\u001b[0m     plt\u001b[38;5;241m.\u001b[39mfigure(figsize\u001b[38;5;241m=\u001b[39m(\u001b[38;5;241m8\u001b[39m,\u001b[38;5;241m3\u001b[39m))\n\u001b[0;32m----> 5\u001b[0m     \u001b[43mplt\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mhist\u001b[49m\u001b[43m(\u001b[49m\u001b[43mtrain\u001b[49m\u001b[43m[\u001b[49m\u001b[43mf\u001b[49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m 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  x, bins\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, \u001b[38;5;28mrange\u001b[39m\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, density\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mFalse\u001b[39;00m, weights\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m,\n\u001b[1;32m   2642\u001b[0m         cumulative\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mFalse\u001b[39;00m, bottom\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, histtype\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mbar\u001b[39m\u001b[38;5;124m'\u001b[39m, align\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mmid\u001b[39m\u001b[38;5;124m'\u001b[39m,\n\u001b[1;32m   2643\u001b[0m         orientation\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mvertical\u001b[39m\u001b[38;5;124m'\u001b[39m, rwidth\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, log\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mFalse\u001b[39;00m, color\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m,\n\u001b[1;32m   2644\u001b[0m         label\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, stacked\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mFalse\u001b[39;00m, \u001b[38;5;241m*\u001b[39m, data\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs):\n\u001b[0;32m-> 2645\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mgca\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mhist\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m   2646\u001b[0m \u001b[43m        \u001b[49m\u001b[43mx\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mbins\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mbins\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;28;43mrange\u001b[39;49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;28;43mrange\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mdensity\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mdensity\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mweights\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mweights\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m   2647\u001b[0m \u001b[43m        \u001b[49m\u001b[43mcumulative\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mcumulative\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mbottom\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mbottom\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mhisttype\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mhisttype\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m   2648\u001b[0m \u001b[43m        \u001b[49m\u001b[43malign\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43malign\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43morientation\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43morientation\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mrwidth\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mrwidth\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mlog\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mlog\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m   2649\u001b[0m \u001b[43m        \u001b[49m\u001b[43mcolor\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mcolor\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mlabel\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mlabel\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mstacked\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mstacked\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m   2650\u001b[0m \u001b[43m        \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43m{\u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mdata\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m:\u001b[49m\u001b[43m \u001b[49m\u001b[43mdata\u001b[49m\u001b[43m}\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;28;43;01mif\u001b[39;49;00m\u001b[43m \u001b[49m\u001b[43mdata\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;129;43;01mis\u001b[39;49;00m\u001b[43m \u001b[49m\u001b[38;5;129;43;01mnot\u001b[39;49;00m\u001b[43m \u001b[49m\u001b[38;5;28;43;01mNone\u001b[39;49;00m\u001b[43m \u001b[49m\u001b[38;5;28;43;01melse\u001b[39;49;00m\u001b[43m \u001b[49m\u001b[43m{\u001b[49m\u001b[43m}\u001b[49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n","File \u001b[0;32m/opt/conda/lib/python3.10/site-packages/matplotlib/__init__.py:1446\u001b[0m, in \u001b[0;36m_preprocess_data.<locals>.inner\u001b[0;34m(ax, data, *args, **kwargs)\u001b[0m\n\u001b[1;32m   1443\u001b[0m \u001b[38;5;129m@functools\u001b[39m\u001b[38;5;241m.\u001b[39mwraps(func)\n\u001b[1;32m   1444\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21minner\u001b[39m(ax, \u001b[38;5;241m*\u001b[39margs, data\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs):\n\u001b[1;32m   1445\u001b[0m     \u001b[38;5;28;01mif\u001b[39;00m data \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[0;32m-> 1446\u001b[0m         \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mfunc\u001b[49m\u001b[43m(\u001b[49m\u001b[43max\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;28;43mmap\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43msanitize_sequence\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43margs\u001b[49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m   1448\u001b[0m     bound \u001b[38;5;241m=\u001b[39m new_sig\u001b[38;5;241m.\u001b[39mbind(ax, \u001b[38;5;241m*\u001b[39margs, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs)\n\u001b[1;32m   1449\u001b[0m     auto_label \u001b[38;5;241m=\u001b[39m (bound\u001b[38;5;241m.\u001b[39marguments\u001b[38;5;241m.\u001b[39mget(label_namer)\n\u001b[1;32m   1450\u001b[0m                   \u001b[38;5;129;01mor\u001b[39;00m bound\u001b[38;5;241m.\u001b[39mkwargs\u001b[38;5;241m.\u001b[39mget(label_namer))\n","File \u001b[0;32m/opt/conda/lib/python3.10/site-packages/matplotlib/axes/_axes.py:6791\u001b[0m, in \u001b[0;36mAxes.hist\u001b[0;34m(self, x, bins, range, density, weights, cumulative, bottom, histtype, align, orientation, rwidth, log, color, label, stacked, **kwargs)\u001b[0m\n\u001b[1;32m   6787\u001b[0m \u001b[38;5;66;03m# Loop through datasets\u001b[39;00m\n\u001b[1;32m   6788\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m i \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mrange\u001b[39m(nx):\n\u001b[1;32m   6789\u001b[0m     \u001b[38;5;66;03m# this will automatically overwrite bins,\u001b[39;00m\n\u001b[1;32m   6790\u001b[0m     \u001b[38;5;66;03m# so that each histogram uses the same bins\u001b[39;00m\n\u001b[0;32m-> 6791\u001b[0m     m, bins \u001b[38;5;241m=\u001b[39m \u001b[43mnp\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mhistogram\u001b[49m\u001b[43m(\u001b[49m\u001b[43mx\u001b[49m\u001b[43m[\u001b[49m\u001b[43mi\u001b[49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mbins\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mweights\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mw\u001b[49m\u001b[43m[\u001b[49m\u001b[43mi\u001b[49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mhist_kwargs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m   6792\u001b[0m     tops\u001b[38;5;241m.\u001b[39mappend(m)\n\u001b[1;32m   6793\u001b[0m tops \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39marray(tops, \u001b[38;5;28mfloat\u001b[39m)  \u001b[38;5;66;03m# causes problems later if it's an int\u001b[39;00m\n","File \u001b[0;32m/opt/conda/lib/python3.10/site-packages/numpy/lib/histograms.py:780\u001b[0m, in \u001b[0;36mhistogram\u001b[0;34m(a, bins, range, density, weights)\u001b[0m\n\u001b[1;32m    680\u001b[0m \u001b[38;5;250m\u001b[39m\u001b[38;5;124mr\u001b[39m\u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[1;32m    681\u001b[0m \u001b[38;5;124;03mCompute the histogram of a dataset.\u001b[39;00m\n\u001b[1;32m    682\u001b[0m \n\u001b[0;32m   (...)\u001b[0m\n\u001b[1;32m    776\u001b[0m \n\u001b[1;32m    777\u001b[0m \u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[1;32m    778\u001b[0m a, weights \u001b[38;5;241m=\u001b[39m _ravel_and_check_weights(a, weights)\n\u001b[0;32m--> 780\u001b[0m bin_edges, uniform_bins \u001b[38;5;241m=\u001b[39m \u001b[43m_get_bin_edges\u001b[49m\u001b[43m(\u001b[49m\u001b[43ma\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mbins\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;28;43mrange\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mweights\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m    782\u001b[0m \u001b[38;5;66;03m# Histogram is an integer or a float array depending on the weights.\u001b[39;00m\n\u001b[1;32m    783\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m weights \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n","File \u001b[0;32m/opt/conda/lib/python3.10/site-packages/numpy/lib/histograms.py:426\u001b[0m, in \u001b[0;36m_get_bin_edges\u001b[0;34m(a, bins, range, weights)\u001b[0m\n\u001b[1;32m    423\u001b[0m     \u001b[38;5;28;01mif\u001b[39;00m n_equal_bins \u001b[38;5;241m<\u001b[39m \u001b[38;5;241m1\u001b[39m:\n\u001b[1;32m    424\u001b[0m         \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m`bins` must be positive, when an integer\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[0;32m--> 426\u001b[0m     first_edge, last_edge \u001b[38;5;241m=\u001b[39m \u001b[43m_get_outer_edges\u001b[49m\u001b[43m(\u001b[49m\u001b[43ma\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;28;43mrange\u001b[39;49m\u001b[43m)\u001b[49m\n\u001b[1;32m    428\u001b[0m \u001b[38;5;28;01melif\u001b[39;00m np\u001b[38;5;241m.\u001b[39mndim(bins) \u001b[38;5;241m==\u001b[39m \u001b[38;5;241m1\u001b[39m:\n\u001b[1;32m    429\u001b[0m     bin_edges \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39masarray(bins)\n","File \u001b[0;32m/opt/conda/lib/python3.10/site-packages/numpy/lib/histograms.py:323\u001b[0m, in \u001b[0;36m_get_outer_edges\u001b[0;34m(a, range)\u001b[0m\n\u001b[1;32m    321\u001b[0m     first_edge, last_edge \u001b[38;5;241m=\u001b[39m a\u001b[38;5;241m.\u001b[39mmin(), a\u001b[38;5;241m.\u001b[39mmax()\n\u001b[1;32m    322\u001b[0m     \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m (np\u001b[38;5;241m.\u001b[39misfinite(first_edge) \u001b[38;5;129;01mand\u001b[39;00m np\u001b[38;5;241m.\u001b[39misfinite(last_edge)):\n\u001b[0;32m--> 323\u001b[0m         \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\n\u001b[1;32m    324\u001b[0m             \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mautodetected range of [\u001b[39m\u001b[38;5;132;01m{}\u001b[39;00m\u001b[38;5;124m, \u001b[39m\u001b[38;5;132;01m{}\u001b[39;00m\u001b[38;5;124m] is not finite\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;241m.\u001b[39mformat(first_edge, last_edge))\n\u001b[1;32m    326\u001b[0m \u001b[38;5;66;03m# expand empty range to avoid divide by zero\u001b[39;00m\n\u001b[1;32m    327\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m first_edge \u001b[38;5;241m==\u001b[39m last_edge:\n","\u001b[0;31mValueError\u001b[0m: autodetected range of [nan, nan] is not finite"],"ename":"ValueError","evalue":"autodetected range of [nan, nan] is not finite","output_type":"error"},{"output_type":"display_data","data":{"text/plain":"<Figure size 800x300 with 1 Axes>","image/png":"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"},"metadata":{}}],"execution_count":103},{"cell_type":"markdown","source":"## Distribution des responders","metadata":{}},{"cell_type":"code","source":"targets = ['responder_' + str(x) for x in range(8+1)]","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-10-19T14:37:01.575299Z","iopub.execute_input":"2024-10-19T14:37:01.57693Z","iopub.status.idle":"2024-10-19T14:37:01.583767Z","shell.execute_reply.started":"2024-10-19T14:37:01.576861Z","shell.execute_reply":"2024-10-19T14:37:01.58204Z"}},"outputs":[],"execution_count":10},{"cell_type":"code","source":"train[targets].describe()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-10-19T14:37:15.0737Z","iopub.execute_input":"2024-10-19T14:37:15.074204Z","iopub.status.idle":"2024-10-19T14:37:17.876371Z","shell.execute_reply.started":"2024-10-19T14:37:15.074157Z","shell.execute_reply":"2024-10-19T14:37:17.875196Z"}},"outputs":[{"execution_count":11,"output_type":"execute_result","data":{"text/plain":"        responder_0   responder_1   responder_2   responder_3   responder_4  \\\ncount  7.785330e+06  7.785330e+06  7.785330e+06  7.785330e+06  7.785330e+06   \nmean   4.600408e-03  9.786365e-03  1.251742e-03 -1.041436e-03 -7.183269e-05   \nstd    8.425733e-01  9.232667e-01  8.289908e-01  9.848984e-01  1.067684e+00   \nmin   -5.000000e+00 -5.000000e+00 -5.000000e+00 -5.000000e+00 -5.000000e+00   \n25%   -2.567239e-01 -2.365917e-01 -2.075254e-01 -3.827674e-01 -4.660800e-01   \n50%   -4.384464e-03 -2.315958e-02 -1.137240e-03 -1.634539e-02 -2.846717e-02   \n75%    2.518381e-01  2.130626e-01  2.072647e-01  3.545422e-01  4.268570e-01   \nmax    5.000000e+00  5.000000e+00  5.000000e+00  5.000000e+00  5.000000e+00   \n\n        responder_5   responder_6   responder_7   responder_8  \ncount  7.785330e+06  7.785330e+06  7.785330e+06  7.785330e+06  \nmean  -2.104255e-03 -5.291299e-03 -1.013171e-02 -2.383049e-03  \nstd    9.028447e-01  9.089823e-01  9.455646e-01  9.040542e-01  \nmin   -5.000000e+00 -5.000000e+00 -5.000000e+00 -5.000000e+00  \n25%   -2.575581e-01 -4.036915e-01 -4.427102e-01 -3.463307e-01  \n50%   -5.944371e-03 -1.619121e-02 -2.780477e-02 -3.586300e-03  \n75%    2.427943e-01  3.697866e-01  3.852295e-01  3.342818e-01  \nmax    5.000000e+00  5.000000e+00  5.000000e+00  5.000000e+00  ","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>responder_0</th>\n      <th>responder_1</th>\n      <th>responder_2</th>\n      <th>responder_3</th>\n      <th>responder_4</th>\n      <th>responder_5</th>\n      <th>responder_6</th>\n      <th>responder_7</th>\n      <th>responder_8</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>count</th>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n      <td>7.785330e+06</td>\n    </tr>\n    <tr>\n      <th>mean</th>\n      <td>4.600408e-03</td>\n      <td>9.786365e-03</td>\n      <td>1.251742e-03</td>\n      <td>-1.041436e-03</td>\n      <td>-7.183269e-05</td>\n      <td>-2.104255e-03</td>\n      <td>-5.291299e-03</td>\n      <td>-1.013171e-02</td>\n      <td>-2.383049e-03</td>\n    </tr>\n    <tr>\n      <th>std</th>\n      <td>8.425733e-01</td>\n      <td>9.232667e-01</td>\n      <td>8.289908e-01</td>\n      <td>9.848984e-01</td>\n      <td>1.067684e+00</td>\n      <td>9.028447e-01</td>\n      <td>9.089823e-01</td>\n      <td>9.455646e-01</td>\n      <td>9.040542e-01</td>\n    </tr>\n    <tr>\n      <th>min</th>\n      <td>-5.000000e+00</td>\n      <td>-5.000000e+00</td>\n      <td>-5.000000e+00</td>\n      <td>-5.000000e+00</td>\n      <td>-5.000000e+00</td>\n      <td>-5.000000e+00</td>\n      <td>-5.000000e+00</td>\n      <td>-5.000000e+00</td>\n      <td>-5.000000e+00</td>\n    </tr>\n    <tr>\n      <th>25%</th>\n      <td>-2.567239e-01</td>\n      <td>-2.365917e-01</td>\n      <td>-2.075254e-01</td>\n      <td>-3.827674e-01</td>\n      <td>-4.660800e-01</td>\n      <td>-2.575581e-01</td>\n      <td>-4.036915e-01</td>\n      <td>-4.427102e-01</td>\n      <td>-3.463307e-01</td>\n    </tr>\n    <tr>\n      <th>50%</th>\n      <td>-4.384464e-03</td>\n      <td>-2.315958e-02</td>\n      <td>-1.137240e-03</td>\n      <td>-1.634539e-02</td>\n      <td>-2.846717e-02</td>\n      <td>-5.944371e-03</td>\n      <td>-1.619121e-02</td>\n      <td>-2.780477e-02</td>\n      <td>-3.586300e-03</td>\n    </tr>\n    <tr>\n      <th>75%</th>\n      <td>2.518381e-01</td>\n      <td>2.130626e-01</td>\n      <td>2.072647e-01</td>\n      <td>3.545422e-01</td>\n      <td>4.268570e-01</td>\n      <td>2.427943e-01</td>\n      <td>3.697866e-01</td>\n      <td>3.852295e-01</td>\n      <td>3.342818e-01</td>\n    </tr>\n    <tr>\n      <th>max</th>\n      <td>5.000000e+00</td>\n      <td>5.000000e+00</td>\n      <td>5.000000e+00</td>\n      <td>5.000000e+00</td>\n      <td>5.000000e+00</td>\n      <td>5.000000e+00</td>\n      <td>5.000000e+00</td>\n      <td>5.000000e+00</td>\n      <td>5.000000e+00</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}],"execution_count":11},{"cell_type":"code","source":"for t in targets:\n    plt.figure(figsize=(8,3))\n    plt.hist(train[t], bins=100, color='red')\n    plt.title(t)\n    plt.grid()\n    plt.show()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-10-19T14:37:39.750423Z","iopub.execute_input":"2024-10-19T14:37:39.750985Z","iopub.status.idle":"2024-10-19T14:37:44.914384Z","shell.execute_reply.started":"2024-10-19T14:37:39.750935Z","shell.execute_reply":"2024-10-19T14:37:44.913079Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 800x300 with 1 Axes>","image/png":"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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 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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 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"},"metadata":{}}],"execution_count":14},{"cell_type":"markdown","source":"## Corrélation features vs responders","metadata":{}},{"cell_type":"code","source":"tf = train[features]\ntt = train[targets]","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-10-19T14:44:54.536251Z","iopub.execute_input":"2024-10-19T14:44:54.536729Z","iopub.status.idle":"2024-10-19T14:44:55.618463Z","shell.execute_reply.started":"2024-10-19T14:44:54.536685Z","shell.execute_reply":"2024-10-19T14:44:55.617152Z"}},"outputs":[],"execution_count":25},{"cell_type":"code","source":"correlation_matrix = pd.DataFrame(index=features, columns=targets)\nfor feature in features:\n    for responder in targets:\n        # Calculer la corrélation pour la méthode de Pearson (par défaut)\n        correlation_matrix.loc[feature, responder] = train[feature].corr(train[responder], method='pearson')","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-10-19T14:47:28.460751Z","iopub.execute_input":"2024-10-19T14:47:28.461268Z","iopub.status.idle":"2024-10-19T14:49:47.776712Z","shell.execute_reply.started":"2024-10-19T14:47:28.461222Z","shell.execute_reply":"2024-10-19T14:49:47.775487Z"}},"outputs":[],"execution_count":33},{"cell_type":"code","source":"correlation_matrix.dtypes\ncorrelation_matrix = correlation_matrix.astype(float)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-10-19T14:57:25.289487Z","iopub.execute_input":"2024-10-19T14:57:25.289962Z","iopub.status.idle":"2024-10-19T14:57:25.296133Z","shell.execute_reply.started":"2024-10-19T14:57:25.289918Z","shell.execute_reply":"2024-10-19T14:57:25.294774Z"}},"outputs":[],"execution_count":41},{"cell_type":"code","source":"plt.figure(figsize=(14, 10))\nsns.heatmap(correlation_matrix, cmap='RdYlGn',\n            linewidths=0.5, linecolor='black')\nplt.title(\"Matrice de corrélation entre features et responders (Pearson)\")\nplt.show()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-10-19T14:59:18.312463Z","iopub.execute_input":"2024-10-19T14:59:18.312925Z","iopub.status.idle":"2024-10-19T14:59:19.186197Z","shell.execute_reply.started":"2024-10-19T14:59:18.312883Z","shell.execute_reply":"2024-10-19T14:59:19.184724Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1400x1000 with 2 Axes>","image/png":"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"},"metadata":{}}],"execution_count":48},{"cell_type":"markdown","source":"## Corrélation responders","metadata":{}},{"cell_type":"code","source":"df_targets = train[targets]\ncorrelation_matrix = df_targets.corr(method='pearson')","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-10-19T14:41:39.937321Z","iopub.execute_input":"2024-10-19T14:41:39.937906Z","iopub.status.idle":"2024-10-19T14:41:42.376591Z","shell.execute_reply.started":"2024-10-19T14:41:39.937814Z","shell.execute_reply":"2024-10-19T14:41:42.375315Z"}},"outputs":[],"execution_count":20},{"cell_type":"code","source":"plt.figure(figsize=(10, 8))\nsns.heatmap(correlation_matrix, annot=True, cmap='coolwarm', fmt=\".2f\")\nplt.title(\"Matrice de corrélation des targets\")\nplt.show()","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-10-19T14:41:53.709003Z","iopub.execute_input":"2024-10-19T14:41:53.710662Z","iopub.status.idle":"2024-10-19T14:41:54.368816Z","shell.execute_reply.started":"2024-10-19T14:41:53.710585Z","shell.execute_reply":"2024-10-19T14:41:54.367426Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1000x800 with 2 Axes>","image/png":"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"},"metadata":{}}],"execution_count":21},{"cell_type":"code","source":"","metadata":{"trusted":true},"outputs":[],"execution_count":null}]}