{ "cells": [ { "cell_type": "markdown", "id": "42caa450-1beb-4fe1-a233-98cc1ddf7053", "metadata": {}, "source": [ "# Calibration — калибровка вероятностей классификатора\n", "\n", "## Цель работы\n", "Изучить методы калибровки вероятностей классификатора и сравнить их влияние на качество предсказаний.\n", "\n", "## Используемый алгоритм\n", "Logistic Regression + CalibratedClassifierCV\n", "\n", "## Датасеты:\n", "1. Встроенный (make_classification)\n", "2. Внешний (через pandas / openml)" ] }, { "cell_type": "code", "execution_count": 1, "id": "279cb38d-792f-4e96-9fdd-d1f7e9e38c26", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "from sklearn.datasets import make_classification\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.linear_model import LogisticRegression\n", "from sklearn.calibration import CalibratedClassifierCV, calibration_curve" ] }, { "cell_type": "code", "execution_count": 2, "id": "8590b5b5-3b27-40ac-9939-ad3a97b63586", "metadata": {}, "outputs": [], "source": [ "X, y = make_classification(n_samples=1000, random_state=42)\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(\n", " X, y, test_size=0.2, random_state=42\n", ")" ] }, { "cell_type": "code", "execution_count": 3, "id": "d2ae71d6-2668-40bf-8bb5-c956636afffe", "metadata": {}, "outputs": [], "source": [ "model = LogisticRegression()\n", "model.fit(X_train, y_train)\n", "\n", "probs = model.predict_proba(X_test)[:, 1]" ] }, { "cell_type": "code", "execution_count": 4, "id": "cdfa8de5-e650-48e7-841c-19eb87c0f6bb", "metadata": {}, "outputs": [], "source": [ "calibrated_model = CalibratedClassifierCV(model, method='sigmoid')\n", "calibrated_model.fit(X_train, y_train)\n", "\n", "calibrated_probs = calibrated_model.predict_proba(X_test)[:, 1]" ] }, { "cell_type": "code", "execution_count": 5, "id": "5bf0bc01-9d83-416c-a3bc-31a4bbd8ec30", "metadata": {}, "outputs": [ { "data": { "image/png": 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hLg5lYFOoUKFcXXQTExNhYmKi9RddTdK1ejY1NRX/UoBD303uomKMsY/T/itDDihzbKjFhrH8RPmdzGkeGGOM6SIObjLBeQ0sv+HvJGOMZR93SzGt78IiutB9xdinSGVyXHsRisCoeDhamsCjlB30JZykzrSPRv/inz9/Hh06dBArfNIv0717937yOWfPnkWNGjVgbGwMV1dXbNiwIU/KygqGoKAgjBs3Dm5ubiI/hb4ntMYJY7ru6H0/NFh0Gr3/vIJR2+6If2mb9jOmbTQa3MTExKBatWpYtWpVto5/8eIF2rdvj6ZNm+LOnTv43//+h2+//RbHjh1DfvyFdNk7BPvu+Ip/aVudBg0aJALE9LdPrZyqTSjhlgJfb29v/Prrr/D09MSTJ0/E4m2M6TIKYL7ffAt+EfFp9vtHxIv9HOAwbaPRbqm2bduKW3atWbMGpUqVwrJly8R2xYoVcfHiRfz8889o3bo18ouj9/0x59CjNH9InK1NMLNDJbSpor6hvG3atMH69evT7NOlkTWTJ09G48aNsXnzZk0XhbF8g35YzTrwEJn9vKJ91ClFj7es5MRdVExrFKhEhMuXL6NFixZp9lFQQ/uzkpCQIJZJT31TjjrJ7EbzilCeRm5u9NxTT0Lww9bbWf5COnzvXa7P/6nXNjIyEl0xqW80pD31ca9evUL37t3FpHB2dnbo2LEjfHx8Uh6fOHGi6CakcxUpUgQTJkxAcnJylq9bsmRJEVwqt6dOnSpai5TnpG6iXr16iXPRiJ+qVatiy5YtGc6zbt26DK1O7u7uKY83adIEo0aNSnmvz549E11OqY85ePCgeF9VqlQRw8Sp2/KPP/5I8zp0XmoppECQhliXLl0aO3bsSHPM3bt30axZM/E41d+QIUPE90b5+MCBA1PKSPVUoUIFbNy4MeXxmTNnpinXjRs3RLnWrl2bphy7d+9O2f7zzz/FPuV7zOozzup7q67bx/5b4VvBqOfLzwMz/D1KH+DQ43ScLnym/J1OKtD1rJUJxTTBXuHChdPso2268MTFxaXMB5LaggULMGvWrAz7KQ8j/ZBvmtKfZoGlCeJoHhVCF5T4JEVSanZ+IS064ZPlLyTy04EHcHM0ytYvJBNDSbZHydCHTkGIMnjL6hgKBmvXro1Dhw6J97t06VJxoacWMLpQ169fH+3atROBz+PHj8WFnQIAClAyQxddWgaBXve3334TwQSdm55P+yi4qVy5Mn744QdYWlqKeqfggOq5Zs2aKeehz48ev379utimc1F+lfL90Hujz0S5PWPGDBHA0NxEyn30WhRAzJ8/XwRDp0+fxogRI2BlZZWmhZCeSwHI3LlzsX37dvTp0wclSpRA+fLlRVcp1QfV0alTpxAcHIwff/wRw4YNw++//55Sj82bNxdBEgXPFJh88803Yh9NLEj7lOV6+vSpqM+xY8eiR48eaT4fes+0Ta9JZaLnpn6PqdF+Op7y1Kgu8tKJEyfy9PV0lbrq+WYw/Q35dAvu8QtXEfJIvd3n+QV/p1UvRhYDOeSwkFiorZ5pQlOtDG5y21UxZsyYlG26cBQrVkzkYdBFLzW6SNOU/nSRoQsniU1MRvVFqvuAAqMS0WDF1Wwde/+nljAzMsj2+kOUe6TMsaGWAmpRoORaZc6JsruGkrCVQdM///wjApFbt26J47788suUc1LwRzc6d/q6UqJRSFRX1PqxZMkSnDx5Mk3QQs+j1hwlSvQ9d+4cDh8+LHKnUnefUUtM2bJlxTaVifYpX5cCMQq+aJuClmvXruHrr78W51IeQ4EoBU7Kz5vybyjnhoKQnj17prwWtVxR0KM85sKFC6JO6DgKdig4odYlc3PzlPfYqVMn0R1KwTTVBz1GZaXXpK5S2ra1tRUBNr0PKntYWBi6du2KoUOHpqkDJTqWyr58+XIRAFLQonyP6dF3k45v1KhRyndT3SiIoz9OLVu2FO+ZFcx6LvQiFJue3fjkca0a1kGdUnbQZvydzhn6wX7jVRgCoxLgaGmMWiVsM/1hfjPwJqZcmoJSVqWwqukqyKQytXynP/bjvUAHN/RrPyAgIM0+2qaLQWatNoQuNHRLjyo8faXTr2266NPFTDl0WJNDiFOX41Oo3BQsrF69WmyHhoaK1g8ajUatMnXq1IGXlxeeP38Oa2vrDBdOStZWvha1fFCrBrUUUBBAycofK8f+/ftFi0K5cuVE8JL6WKpTOh8FP76+vqIFgoIHCgZSH0etZan3KYOv1Mcou4Koq4y6z6jFI/0xDRo0SLPdsGFD7NmzJ82+evXqpdmuW7euSFCnfRQMUZI7tSKlPge1UFFXGC1/QGWg1in63tH7oYCEAkdlMESP00zXFCy+fftWtARlVn+0j1ojqVuPPiPqklJ+/zI7lh7L7Hurbpp4TV2krnqu6+oIa1NDRMRl3qRP/6U5WZuI43RlWDh/pzMhkwKvPIHoAMCiMI5Gl8Ksg08+mjsqk8vwl9dfWHVnlbhvYWSBKGkUbAxt1FLPOTlXgQpu6CJEv/hTo+iQ9quLqaE+Hs7OXrLyFe9gfL3x5ieP2zC4tphfIjuvnRN0caU8EyXKY6G8DhpiT8ENBRDUqkKtEuk5ODik3KcumC5duuDmzZtiRBrdT93Kkt6lS5dEiwd1rfz000+iK1CJWnN++eUXrFixQuTbUBnpnMpuP6V3796JXJ9P2bRpkwhqBg8eLIK31Ki1Kq8mwFMGkvRL8MiRIxgwYADu3bsncpAI5Tb17dsX/fr1Ey1M9FhmM19Tiw61JFFAxZg6+EfGIyFJ+tFj6IKlK4ENy8TD/cDRiUDku5RdbnI7uCUNgB88MuSOru5XA7XKGGLKhSm47KfIee1YpiOm1pkKM0OzHOXGaGVCMV1s6Rcz3Qi1HtD9169fp3Qp0UUj9UWXElXplzvlg1AOBLUIjB49Wm1lpAsjdQ1l59awrAMKWxqJX0KZnut95EvHZed8n3tRVrb8UOuJsguGWh8o0ZiCoNS31K051CVEXVp0caaWkP/++++jrzNp0iR069ZNdO1QK4Qyb0YZ+FCXDl3k6QJO+TuUh5IePad69eqf7G+lYICCp8wieCozvV5q1CJSqVKlNPuuXLmSYZtG3hH6lxKKla1CyvdA9Ug5OekDSTqeusGo9Ya65JTofVJ9UHmphYe+y+nRd33Xrl2ilYwxdZDJ5Bi34y7ik2UoZW8GJ6u0XZr0J2ZFL3e1juJkBSCw2TEgTWBDnBCK1YYr0FpyLWWfMiNr+rG96H6guwhsTA1MMbf+XMxrME8ENvmFRoMbGkVCFzTlRY0uEnSfWgCIn59fSqBDKLeBugOotYYulJQD8ddff+WbYeD0y2dCi9LifvqwRC8PfiFRdw91c9Dt0aNHGDlypAggKaGVULBib28vgg3KM6FgkpJ2KWGWuk8IBYwPHjzAy5cvRVcL1fWngg4KhoiHh4dolaFWFWXLDOWl0Dlozhkq03fffZema5ESdikAoACC8mU+ZuvWrShTpgw6d+6c6eMU5FJAQe+BgjjKoaFRTBQMp7Zz507RqkVBFiUWU/6OMgeH6ohyWqgs9+/fx5kzZ0Q99u/fP00yu7Kuqd7oO0jdgBRcKVG3FuUJ0Y3KRInWVOepUTI3feez02LFWG6s93yJyz4hohV43SAPXJrUDP8O+QI/96gGB0sjyOVAZBbdVUxHuqKOTkwVtnygvEzNNPwHEnwYVCOHFDGWuxAcFwxXG1f82/5fdHLthPxGo91SNKKFEjKzktnsw/Sc27dvI79qXr4QVvWpnmGeG6c8mOfm6NGjIidEeXGlwIICAqozQt0ilBtD+SrU1RQVFSWGaNMoH2USKwWPdMGnxyjxesqUKaJbJbtoZBrl4FD3FOXaTJs2TbS2UQBKr0/JtRScREREiOOpi4wSoSkvhoKjT7XcKOc4ygyNRqKAg4IGCrJoBBR1HVHeUfoybtu2DcOHDxf19e+//6a07lAZqTyU/0IjpmibkoIp6TezuqbghbqiVq5cKVq5MkN5SBTAUT1Sq5Cye4o+o/SBF2Oq8iwgCouOPhb3p7SviFL2ipywumUKiX+jEpIxY98DrL3gg94exWGgX6BmBmGq8MozQ4tN+gDHBSHwkDzGFZmyBVwf8b690LS2N35rM1O03ORHevKPRRdaiLKtqQuGLq6ZjZai1gxqIcrNiBRKOqXz03nl0OM1XNQkdT3nNOGbuvookMqq9Se/+tzvZm5QvznluFHLHycUF6x6TkyWocvqS7jvG4nG5RxEnl/6bu64RCnqLzqN0JhErOxdHR2qaX8LIn+n0/HaBfz3DT6ln0EPXDVwQVL4hx+g1AKoDJTzqp4/dv1Oj0N1NaGuJ/rgO7kXEf9ysh5jLK/8euqZCGxszAyxpJtbpvl7pkb6GFhXkQD/x3nvj7aiMy1lkXbeuPRoRq1fba1xt+gVGDvtg8TENyV3NDuDYjSJgxvGGNMiN1+F4fezz8X9eZ2rwjFdEnFqA+qWEPk4FAhdeh6Sh6Vk+YKfYjBPZvz19fG1kyP+tLEWSaNJ4bUgT3AsMKPrCtRQcMY+F/86ZdqMJh0du+MOaJ3ezu4uaO/28Rw/W3Mj9KxdDBs8X4rWmwZl7fOsrEzDLiwHTqWevZ+CFUXr3XlTE0x1KIRwfX3oSw0Q7dcDyVFuebJGoqpwcMMYY1pi3qFHeBkSKy5CszpVydZzvmlQCv9ceYULz4Jx3zcCVYqkneSTaRm5HDi3GDg7X7HdZArgWAGJhybCKMZPdEOJ1hqaGsPMBX0rLgGSC8HRUtEVld9bbJQ4uGGMMS1w5kkgtlxVTJ2xtHs1MStxdhSzM8OXbs7Yd+cd1p73wa+9Pz71Ayvggc3pucCFpYrt5jOAhmPxJjQWXeNNUDrxHqyM7wO4hT7le2Ns7XEw0jdCQcQ5N4wxVsCFxSRiwq574v6geiVR3zVn3UtDGynm5zp475240DEtDWxOTP8Q2LSaJwKbiNgkDNpwEYExyQh3rIOlA//ExjYbMfmLKQU2sCEc3DDGWAHPI5u29z6CohJQxsEck9p+mEwyuyq7WKNhWXuRq/PXBR+1lJNpOLA5OgnwXKnYbrsEqDcC0Qnx6PjvePhZLERhaz2sH1wbVqZGqFG4RoH/uDi4YYyxAoy6kw55+cFAoocVPavDJIdr0il937iM+Hf7jTdi7humJWQy4NAY4OoaxfaXK4A6Q/E64g1abe+BUINT0DcOwret4+BsnT8n5MsNDm5YvpcfFmFjLD96Fx6H6fsoRwL4sXlZVC2a+2Rgmo+rahFrxCfJsNHzpQpLyTS6vMKBkcCNdYrRUJ1WAbUG48SrE+i8ryui5C8gl5piWIW5GFKjq1Z9UBzcsHwlOTlZLHVQv359sTQEzcY7ffp0FFSVK1dGUFCQmFGTlsOgZS0YU9mimDvvIio+Ge7FbDC8iaLlJbdoor/vGitybzZdfimGlbMCTJoM7P0euL0Z0JMAXdYiwa075l2ZhzFnxyBJHgdpbAn8r8Jq/FAn/60N9bk4uFFnxPzigmJ6a/qXttWM1lWiRR5pRWpjY2OxNhStq3Tq1CkUlNwBKi+tKTZu3DixaCUtXklrXRVUtAAnLYxJi4vSVOS0nhRjqkBz03h6h8DEUILlPaqpZG2otlWcUdzODGGxSdh5Q7GYLiuApEnA7iHAve2Anj7Q9W/ArQeW3ViGbU+2iUMSghvjmzKL8W29mtBGPBRcHR4dAI5NSrsgmZUL0GYRUKmjWl6SVvGm1g4bGxssWbIEVatWFd05tAjkDz/8gMePFQvo5We0Cjm9j+vXr8PCwgLagBbGHDZsmGiRUq6eztjneh74YVHMqe0qorSDav57oTlMhjQqjel77+PPCz7oW4cX1CxwkhOB/75WXIckhkD39UBFxeLBjRx6YevdM4gLaIvO5ZtjTMuK0FbccqNihs+PQG/nwIwrrUb6ATsGAA/3Qx1ohWtqVr527ZpYxbpcuXKiS2TMmDG4cuVKls8bNGhQmkUkjxw5IgIL+leJVhGn89Fq1tQqRN1E6fNgKCih109/Cw8PF4/TKuHu7u4pxycmJsLV1TXNMQcPHhSrc7dv3160cBQuXBijR48WxyrRCufUOjV+/HjY2trC3t5elCf1zMNhYWEYMGCAeJzK3LZtWzx79izlcWoZUpZPX19ftKzQe6QFOcnZs2fTlIvORyt70zmVr5OQkIAff/wRjo6OouuMVgSnoEwp9TlogTcKbPr37y/27d27N4efLmMfJEllGL39LhKSZWhUzgH9viih0urpXrMoCpkb4W1YnEhUZgVIcoLiOvPoAKBvhPju63HIWHGZfxsWi9H/+iDa50fUda6PBV2qZrrmmLbg4OZT6GKWGJO9W3wkTM/8lDKFdboTKf45OlEcl63zZXMhu9DQUBw9elS00Jibm2d4nFpzsuPChQvo0aMH/v77bxEQKFGgQQHBw4cP8csvv+DPP//Ezz//nK6aFGU9efIk/Pz88N9//330tX777TcEBASk2Ue5Kbt37xZBGQVp69atw7Zt2zB58uQ0x23atAkGBgYiaKPyUI7OX3/9lSZgu3HjBvbv34/Lly+LslGXUOqAjAIOKufr16/Fe1m8eLFo5UovOjpaPJeCOiqP8o8BtcjQe9y4cSNu3bolArXWrVuLzyIzN2/eFOVh7HOtPPUMXr4RYpK+rBbF/Bw02ormyiF/nPPhJUsKiqQ44N/ewNMjgIEJfDr9gj7P1mPShUnY/fQQBq+/LqYLqOBkjd/71YCRgXZf/rlb6lOSYoH5LtmqzE9/VeSKFp2FxbJ1Pkx5BxhlDFbSe/78ufgDVKFCzue3UKILNOW7LFu2DD179kzz2LRp01LulyxZUuTDUNBBF3glZeDg5OQkbh/rgqEAYO7cuaK1JHWyMLWclC9fHqtWrRJ/sCtWrCi62L755hvMmTNHtMIQyiWaP38+rK2txTFeXl4iQBkyZIhooaEg4tKlS6hXr544fsuWLeI51GLSvXt3sY/OT+UkpUqVgkQiEedLjVpnunXrJl53+/btIqAiMTExWL16tQj4lEEgBXwnTpwQgSG1KqVHLWi0vyAnRzPNu/06DKvOeov7876qgsIfWRTzc/SvWwK/n/XGQ79IXHwejIZlHdTyOkxF6Mfwv72AF+cBQzPsbzYac71WIC45DnYmdlh3zh/PAp1Q2MpYMZeNSfZmry7ItDt00xGfuxjkixcvRKtDfHy86PZJjy7slM9DwQB1WVGwQy0eqUVGRop/M2s5Sm/27Nlo2rSp6MpJr27duml+idIx1C1FAZxSnTp10hxDz6GgRiqV4tGjRyIIoWOUChUqJIImekyJRi/RezE1NcUXX3whAi1lMKTUt29fkYzduHFjkaCt5O3tLYI5qhMlQ0NDeHh4pHkNJQqqfHx8MHbs2E/WDWNZodFLY3bchVQmRyd3F3zplr0fXblhY2aEXh6KH2FrzimCKZZPJUQBW7qLwCbW2ALTa3XE1Kf/iMDGw8kDleWzcN/bCRbGBlg/yEOr5rL5GG65+RRDM0ULSjbIXlyE5N8enz6w7y6gRL3svXY20BBjutjnNmn43r17mDRpEgIDA/H111/j/PnzoiWDULcOXeRnzZolAiBq3aBWG2rhSe3du3fiOcrWkKxQEEJdSHfu3MHbt2lHY1COTFZU3fROXW3UWkWB4YMHD8T7rlmzpshXSj36jLqe+vTpg6+++kokaecUBUHUwjVv3jwRSDGWW/MPP8KL4Bg4WZlgdsfsLYr5OWhBzU2XX+HS8xB4vY34rDl0mJrERwCbuwFvr+G5uQ3GlaoAb39PSPQkGFZtGKL9G2PVnRciUfz3vjVQycVKZz4Kbrn5FLqoUtdQdm5lmkFm4Qy5WDo+05MBVkXEcdk6XzYv6NQFRIEHdedQl0l6ysTYrDRq1AgLFiwQuSuvXr0SeSxKnp6eKFGiBKZOnYpatWqJQIqOSY+SaalbjJJrP4ZaSL799luRo5IePV+ZI6N08eJFGBkZoUyZD3N4UD5OapR7Q+Wi5GDqpqKRSVevXk15PCQkBE+ePBHJykoUiFEZ6HmUUN2sWTPs2bMnzXmpe6tLly6iu2vw4MHivITKQmWirq/UQQzVQerXINR9RS1ElEzMWG6dfRKIzVdSLYpppv5uhaK2ZuhYTdE69Md5br3Jd+LCgE2dRWADE2u8aTkd3jHv4GDqgL9a/QXbhPZYdeaFOHTBV1VF8rku4eBGpbWpj7gmyjlZ0gcm77fbLBTHqRoFNtQtQ10j1NpALSTURfLrr7+KbpuPUbaYUKvM2rVrRbeTcnQRXfypC4paa6g7hs6XOgigLqN//vlHBEYUAHwMdS3RKKIZM2Zk+vj3338vRl1RYjSV/fDhwyJPZcSIESn5NoTKQ8EWBSz//vsvVq5ciVGjRqWUt1OnTiIgocDo7t276Nevn5gQkPYrUQBFLTOUVEzz6Zw7dy5DzpIyb2jhwoVixBT9q+x6o7JS2SiRmxKt6fViY2NFflBqlKhMrVzaPCqB5e2imA3K5mxRzM+hXFDzsJcfXoVk/OHENCQmBNjYEfJ3twBTO2DgQTR1/xaz6s3Czg47ERNRAlP3vp+5upkretTOZp6nFuHgRsWSXNtC3n0jYOWc9gGa56bHJrXNc0OjeaibhXJZKLejSpUqaNmypcgZodaD7KIE2V69eoluGkrw7dixoxiOTQEGDeWmlpzUSbGUzEvDvGkfJc1+DLUqUVCSVbJx8eLFxXBwapmpVq2aCJZ69+4tWpVSo1aQuLg4kStDgRAFNkOHDk15fP369aKL6csvvxSBHQUyFChRXkzqHCFnZ2cR9FC3EyUaZ5YIrAxmaKQUdS3RpIKEAh3qwqKy1KhRQwRuNNoqfdcafR50YyzXi2Luu4/AqASUdjDHxDa5HzSQGxWdrdC4nMP7BTUVrQBMw6KDgI0d8CT0EQYUKQL/nhsBZzfxUJeyXeAfZoAfttwSuVldqhfB6JbloIv05J+bjVrA0EWNWigooZSGA6dGCbWUXEujZz7VvZIZCgbo/HReCY2MeuUJRAcAFoUVOTZqaLHRNZTwTIEP5QCJen6fG6TtPve7mRvU1UZBIQ2FTx0Ysryr5313fDFq2x2xKObu4fXgVjR70zqo0mXvEPT+8wqMDSTwnNQMhSw+JNcXNAX+Ox3lD/nGDtiZ8A6LCtkiUU8PrUq0wrImihxI3/A4fLXqkgiG65UphA2DPTQy5Ftd9fyx63d6unFl0AQKZEo1BKp2U/zLgQ1jLAf8IuLETMFkZLOyGglsyBel7VCtqLWYNJAX1NSgCF9Er2+LCXohmGNvJwKbRkUbYdoXiqk6IuKSMHj9NRHYlCtsgdX9amr9XDYfo7vvnDHG8vGimON33kNkfDKqFbPBD00/b1HMz19QU/H6Gy+/QkwCL6iZ58Jf4+E/bdHTLA5HLcxhoKePsTXHYmWzlbA1sUVisgzfb76JpwHRcLSkuWw8xCSPuoyHgrMChRKSld1/jGkrWpWbJs+jRTF/VtGimJ+jdWUnlCxkhpchsdhx4w0G1y+l0fLolNAXuLalA4ZZAkl6hnA2dcCSpj+jmkM18TBllkzafU8sompupI91g2qjiA1PO8EtN4wxls8WxVxwRDFn1RQVLoopyKTAiwuA1y7Fv7SdgwU1CSUW0/pWLA+EeAPr28Et9C1KyiRo6lQXOzvtSQlsyM8nn2H3LV/xGa3qWwNVivB8RIRbbhhjLB8uitmwrD36q3JRTFq0l9a2S72oL43ibLMoW6M4u9Yoip9PPBVJq4fu+aFz9SKqKxvL4LnPSZTaPRz60QEwcaiAdR3/gXUhxYStSjuuv8GvpxTTdszrXAVNyjtyTb7HLTeZUK4OzVh+wd9J3bDy9PNUi2JWU938SBTY0GrRqQMbEumn2E+PZ2NBTWV3FC3JoGMDbfMM1eumq4vR/fz/8JdBHOBYWcxjY2NfLs334fzTIEze4yXuj2jqil4exTVY6vyHW25SoVlnaWgxLSXg4OAgtnPyx4UuQDSpHQ3b1ZUhypqgS/VMf+jovdKK6fRe6TvJtNPdtxFYdUaxhtrczlXgZK2iIf/U9UQtNjQ9RQa0Tw84Ogmo0P6Tozr71SkhyvjYPwrnnwWLOXCY6kQkRGDaqZE4G3RbzFD/3NIB8l4HoGdeKM1xD99FYvj7uWy+ql4EY1vp5lw2H8PBTSp08aB5RGjWWgpwcnMhosnlaA0hnpFWfXSxnmmGZprkUNuDOV2VKAXG7/ISFyta8qDD+2UPVILm20rfYpOGHIj0BZ4cBSq0++iyL7TsQ2+P4vj74gusOevNwY0K3Qm8g/GnR8E/IRSGcjkmJFugZ5/D0DOzyzBFwNcbriM6IRl1SxfCoq5uOvN3MCc4uEmHfhnTRYTWEaLlDHI6cREtOklrNRXICaIKCF2rZ1ozi1Y65z9g2mv/KwlehMSKRTHndFLxopg0kWh2bO8DGFkCtiUA25KKm03q+8UBQxOxoCbNd3PZJwR334SLoeqf1aqk45OdyuQybHiwAb/e+gVSuQzFk5KwVM8ZFfvtFWtGpRYZT3PZXId/ZDzKOlpgTX/dnsvmYzi4yQRdROiimdMLJ12EKCiiGWR14aKrKVzPTJtceB6MCwGKC9SS7m6qXxTTOAcrQSdGAQH3FbfMWDrDxbYk/nWwxKUQC9w5eA/V2jVWBD8WTtT8nWcJztriTdQbrLq1UgQ2baNjMNOsHMz77ASMLTMkmw/ffEt0CTqIuWxq6/xcNh/DwQ1jjGlIeGwiJu9+IO73r1MMDcuqOIfl1WXg8LhPHKSnCCp+uK7ongp7CYS/Uvwrbu/vU+AT5SdutQHUpqsHNQqtVywoC31jRatP6tYeZSsQ7TOxypjgnD4PSJngrMZ1+PKbEsEvMSUkDHJZIrra14Re722AkXmGrvjJu73E3EdmRvpYP6i2WLWdZY2DG8YY05Bpe+8jICoBjiZyjFdlUmhSPHBmHuC5UhFAmBUCYkMUgUyagOJ9rkabhYCxOeBQTnFLj0ZGxYYC4cqA5yXOXr0Bg4hXqGQaCrukQECaAAQ/VdwyQ6tXKwOd5ydUkuBcULuh/vb6G184f4GqEQHAtr7omhwPuLYAem4GDDNOwPfLqWfYdfOtYi6bPjyXTXZwcMMYYxpAi2IevOcnLlj9yibD1EhFF3K/u8Du74CgR4pt975AmwWAz7ksuoEWfrqVhBJWacQO3YrUFLtMi4Sg59orMJJLcGl8IzjIgtK29KRuAaLAKi5UcXt36xNv4H2CM+Xi0Lp8WiQ4LhhTLkzBZb/L+O/hP9j9/DHMkhOAcm2BHhsBg4yLku688QYrTirmsqF8rKYVeC6b7ODghjHGNLgo5g+NS6NE/JPPP6k0Gbj4M3BuISBLBswdgA6/KkZAEQpgqDVERQm8HqXs4F7MBnfehGPT1bcY26q8omUmMwlRH4Keh/sArx2ffoGdA4FSjRXBVNFagJMbYFRwu2Ku+l3FpAuTRIBjIjHEMN8XisCmYgeg6zrAIOM0DxefBYvuKDK8SRn0qcNz2WQXBzeMMZbHi2JO2PV+Ucyi1hjWuBROHPvM4Cb4GbDnO8D3pmKbLphfrgDM7dMeR4GMilpDaODFsMalMWzzLWy6/ArDGpeBuXEWlxRKjnWqorjRCKDsBDfU2vNgt+ImXlAfKFwJKFLrQ8BjXy7fd11JZVL8ce8PrLm7BnLI4WriiKXeXiiTmABU7gJ0WQvoZ0wif+QXiWGbbyJZJkcndxeMo+CRZRsHN4wxlof+ufIKF54pFsVc3tMdhp+zKCbNpn5tLXDyJyA5DjC2BtotAdx6fHS+GlVpWckJpe3N4RMcg23X34hh4p9ErUXUHUbJw5nm3egBlk5Ap1WA3x3g7U3A94aitcnfS3G7uV5xKA1dd3H/EOzQv3TufCI6MRo/nvkR1/2vi+2v7Kph8u3DMKUh8G69FO9R3yDTlj0a8k1z2dQpZYfF3dwgkfBcNjnBwQ1jjOUR76BoLDiiyIWZ3LYiyjhYiHmbciX8DbBvOPDivGK7dFOg02+AdVHkFeWCmtR18vcFHwyoW+LTwRq1tNBwbzFaKosE57aLAdfmipsyoZnycKhl6u0NwPcW8O62YgTXywuKm5KlC1Ckxodgx6V6hmHVecXM0AymBqbiNt25OTqcX614v9X7KboMM2l1iko1l42rowXW9q8FY4P83TqVH3FwwxhjeYDmKRmz/Q7ikz5zUUy60N/9FzgyEUiIBAxMgVZzgNrf5klrTXo0/f+y40/xLiIeB+6+Q5ca2QiuKP+HhntnN8GZ3hcFbXSr1Emxj1o/gh6nDXgCHwBR74DHdDuofDLgUEEEOhJnd1jHxipykqCeuciSZcniZmJgAomeBPPqz0PYzb9Q6sQcxQG1vgbaLct0TiAxl80WxVw29hbGYsi3yuc90hEc3DDGWB6gNZlo/SgrEwOxKGauuhmig4ADo4AnhxTbRT2Ar9YAhcpAU2hBza8blMTio0/wxzkfEexkazbtz01wpuMKV1bcagx4PwlhjGK0mAh2qDvrJhDxRjFyLOgR9O9sRhOKD5csAJyrvW/dqaHI46EZmD8zOPSP8cfE8xNR1LIo5jWYJ/bZ3N0OG2VgU2eYInjL5HVoLpupe7xEl6WpoWIum2J2BTeBWtM4uGGMMTWjEUW04jeZ+1XV3C2KSRPfHfyfItFWYgg0nQLUH5UvEmr70oKap5/jSUAUzj4NQtPy2RyurMIEZ4Emv6MAiW5KUQEpgY7s7Q1IX1+DYXIs8OaK4qZkZv+hK0sEPDUBU9tsv/T5N2cx9fwkhCfH4EnIQwx3+w5F7u8Djk9THFBvJNByTpYBFH0/dtx4C4p5f+tTHVWLpl16geUMBzeMMaZGcYlS0R1Fi2LSgpi0MGbOThCu6IK6t02xXbiKorXGqSryC2tTQzFM+c8LigU1sx3c5AXLworh8BXaQZqUhMOHDqLdF+Vh6H/3fdBzA/C/D8QGA0+PKm5KdmVSBTw0HL1KhrlokmRJWHliFNb7K/J+KiYkYmngOxRZVV/RbUgajgOaTcsysPnv5lssP6GY/HB2pypoXrGw2qpDV3BwwxhjarTwyCMxmqiwlTHmdKqcsyd7nwb2jVAk0+pJFC01TSZnOtmbpn3doBQ2eL7E1RehuP06DNWLZ7/VI09RPRYqCzhVAtx7f5jRmdbTSunOugGE+gCh3orbve2K4/SNFEHl+2DHz644xl+dg7sxb8TDfSKiMDY0DGLGmuT3gU2VrkDz6VkW59LzYEz87564T8Pp++U2F4ulwcENY4ypyYVnQdh4+ZW4T3k2NmYZJ2rLFOWOnJgJXP9TsW1XGui8BiheJ99+Vs7WpujkXkQsE7D2vA9W91PMZFwgGJooWmjopkTLTVCSsjLYoX+pS1DZxYW1GFbEGT5GhrCUyjA7OAQtYuMynvv1FUXycybdh0/8ozDsH8VcNtSqN6E1z2WjKhzcMMaYGkTEJmH8TsUvchoi3ahcNhfFfHNNMSEftRwQGgXVcnaGxRTzo6GNSovg5ugDf7wIjkEp+/xf5iyZ2QFlWyhuylFqNMPy++BG4nsTE0PuY5W1BRYFBaNosjTz82SxlERAZDwGr7+GqIRkeJS0wxKey0alPmP2KMYYY1mZvu++mKuEJrmjOW0+SZoInJwFrGutCGxovpZ+u4H2ywpEYEPKFbZE8wqOIg6g1hutoqeHN4YG8CxEw9UXAN8cR73Wy/GPX0DWgY0SjQZLvZmQLOayoeHzpR3MsXZATTHqjKkOt9wwxpiK0Xwv++++E5Pc0SzEn1oU0yruNQzWtQICFetNwa0n0HZRjkbr5BfDmpTBqceB+O/WW4xuWRaOlrkYGZYPnXh1AjMuzRD3d3y5A8WsigFWRbLVQiA1d8Q17xAERsWjkLkR/jjvg4d+kbC3MMLGwR7Z765k2cbBDWOMqZB/RDymvV8Uc0RTV7G4ZJZkUkg8f0XjJ/OgJ5cCpnZAhxUfJqorgGqVsEWN4ja49TocGz1fYnzrCijIEqQJWHp9KbY9UYxWq+ZQDQYSg2wvJRFnWhgttsXDN/JK2lHr+hL8PZDnslEX7pZijDEVoYnYxu+6i4i4JLgVtcaIZq5ZHxziDaxvC/0zsyGRSyEr2wb44WqBDmwITeD3XWPFpIL/XH4lumAKqleRr9D/cP+UwGZwlcFY32Y9nC2c0y4lIaQf5q0nwp3REb3gG5lxiY1EqUysIcXUg4MbxhhT8aKYxgYSLO+RxaKYlJBy7U9gTQPgzVXIjSxwq/gQSLv/A1jko/lhPkPLioVFLgmtfL7t2msUREdeHEHPgz3xKPQRbIxtsKr5KoypOQaGNIFiZktJWL0PeN6TW7lgssF4HJV5ZHp+CoVmHXgo5j9iqsfBDWOMqWhRzPmHlYtiVhCLHmYQ4Qts7gIcHgckxQIlGyJ56AW8KdRQI+tCqQstLfFdo9Li/t8XXyAxWYaC5l7QPcQkxaCGYw3s7LATjYo2yvpgCnD+dx8YeBDo+rf490qHs9gW7Z7lUyik8YuIx7UXoep5AzqOc24YY+wzJdOimDvuikUxG7jaY0Ddkhlba7x2KoKa+AjAwARo8RPg8R0gpZE2Xlr3GXR+v6AmXcApubpbzbxbrfxzuhWV62JRK01xq+LoXq77hxybj5HoI8r5C1z1CYXn/RAcvZ+9z5SSjJnqcXDDGGOfadUZb9x9E65YFLO7W9pFMWOCgYOjgUf7FdsuNYCv/gAcyim2RXCjfYwNaEHNUlh45DHWnvdGl+pFcrdYaB454H0Ah18cxspmK0UwY6hviN4V3s9gnIX4JCluvgoTswx7eofAyzcix91M2jKaLL/h4IYxxj7Dvbfh+PX0M3F/TucqYqbeFI8PAwd+BGKCAPr133gi0GAMoK8bf3ppvanfTj/H04BonH0aiGYV8t+aSbFJsVhwbQH2Pt8rtunfbuW6ZXpsklQmPm/P5yG45B2MW6/CRWJwaiULmaFuGXvULW2HuYceISgqIYtxVBALqHqUslPL+9J1uvFfGGOMqQH9ch/9flHML92cPyyKGR8JHJ0M3Nms2HaooGitcck6B0MbWZkYom+d4mJelzVnffJdcPM87DnGnRsH7whv6EEP31f7Hl+5fpXyuEwmF/PRXPYOgad3sMiPiUlM29JGa4bVp2CmTCHUc7VHEZsPwa2RgQTfb74lApnUAY6y/Wpmh0piLiSmhcHNqlWrsGTJEvj7+6NatWpYuXIlPDwyzy4nK1aswOrVq/H69WvY29ujW7duWLBgAUxMuGmPMZa3qMvFO0ixKObczlUU+RovzgN7fwAiaJSQHlBvBNB0mmL9Ih1EXVPrLr3AtZehogunZgnbfJFbs+fZHsy/Oh/x0njYm9pjUcNFqO1UWyxy6vm+m+myTwjCY9MO47Y1MxSBDLXO1CtTSMxArczTSa9NFWes7ldDjIqi3CMlarGhwIYeZ1oY3Gzfvh1jxozBmjVrUKdOHRG4tG7dGk+ePIGjY8YhkVu3bsWkSZOwbt061KtXD0+fPsWgQYPEF2v58uUaeQ+MMd1dFJNWwSaLaVFMQ6mitebK74oDbEoAnVcDJetDlxW2MsFX1Ytgxw1aUNMbf/RPtTilhvzh9QfW3l8r7tdwqIMmdqPw73kpRnqfQkBkQppjzY30RddRfVdF60xFJ6sc5Q5RANOykpNo9aHkYcqxofNxi40WBzcUkAwZMgSDBw8W2xTkHDp0SAQvFMSk5+npifr166NPnz5iu2TJkujduzeuXr2a52VnjOmu1Iti9v+iBBqbvwb+GAYEP1UcUHMQ0GouYGyp2YLmowU1Kbg5/jBADJkv45DJMPk8EpUEGCfUgAFMYRjdHOce1cM5vE7TlVSzuC3quypaZ2gyxkznK8oBCmQoMGI6ENwkJibi5s2bmDx5cso+iUSCFi1a4PLly5k+h1prNm/ejGvXromuKx8fHxw+fBj9+/fP8nUSEhLETSkyMlL8m5SUJG6qpDyfqs/LuJ41gb/PWZu2955YFLOMnRGmmu6C/K9fxfIJcovCkLZfAblrS2Ulcj3TKgW2JmhewQGnHgfhj7PPMa9z5bwLZuKTxPDso89v4+ErSzwLpMteOCAZD8jMROBRtYgV6payQ90ydqhezCbtIpYyKZJk2jmiraD97cjJ+TQW3AQHB0MqlaJw4bQJZrT9+PHjTJ9DLTb0vAYNGog+0+TkZAwbNgxTpkzJ8nUoH2fWrFkZ9h8/fhxmZmZQhxMnTqjlvIzrWRP4+5zW7WA9HHimj/J6b7BJuhomlxVdU29t6uBesQFIepoEPD3M9ZxOVQPgFAzEgppV8ArWalorkvJ9faL08CxCD88i9fA6Nh7GTnthYHUPcVFDAZRCETM5ylqboKy1FK6WcpgYhABJIQh7DJzO/PLD8sHfjtjY2IKTUJwTZ8+exfz58/H777+LHJ3nz59j1KhRmDNnDqZPn57pc6hliPJ6UrfcFCtWDK1atYKVlZXKo0r6MFu2bAlDw3RTdDOu5wKGv88ZBUTG46eVF/Gt/gFMMtoJg4REyE1tIW2zGIUrfYX37TVcz1m4EHkNN1+Hw9esLHq3Kqua76kYnh0BT59QXPEJxe034UiSKsYmSYx9YVZqKyRGIdCDBD3rGqByZDK+asd/owvi3w5lz0u+Dm5opJO+vj4CAgLS7KdtJyenTJ9DAQx1QX377bdiu2rVqoiJicHQoUMxdepU0a2VnrGxsbilRxWurgBEnedmXM95jb/PCtRa/PN/p7FGNh91DB8rxva6toRex5UwSLeuENdz5oY1ccWQTTew9fobjGheFpYmOf87ScPuH/lFiqHZl56H4PrLUMRmMjy7eMnbeJa8FVJ5MpzNnbG40WJUtq0sUhn4O503VF3POTmXxoIbIyMj1KxZE6dOnULnzp3FPplMJrZHjBiRZZNU+gCGAiTlHx7GGFMJyrF45QlZlD8eRZnhuWkVSO5swWzfFTCXJEBmaA5Jm/lAjYFatSaUujWv4CjW3HoeGI2FRx7Bo1ShT44eor/tlIRMQ7Np8jwank2rrqdmZ26EuqUpAbgQqpUwxrrHi3Dy9UnxWJNiTTC3/lxYG1tzPqQO0Wi3FHUXDRw4ELVq1RIJwjQUnFpilKOnBgwYgCJFioi8GdKhQwcxwqp69eop3VLUmkP7lUEOY4x9lof7gaMTgch3YmVhSn0tIzeEiV6SmLbGx8wNpb/dBNiV4orOIRpCTQEIBTdbrr4RN+Kcbt6Xt2GxIpCh1hkKagKj0g7PtjA2QB2RAFwI9crYo4KTZcrwbJphmAIbWkKB1ofqV7FflvPQMO2l0eCmZ8+eCAoKwowZM8Qkfu7u7jh69GhKkjFN1Je6pWbatGniS0r/+vr6wsHBQQQ28+bN0+C7YIxpVWCzYwDkkKfMIksosKHG4V3ShpgU+h1WvTNBG541P8eO3vfD5suvMuynCe6Gbb6F+mUK4U1YHF6Hpk0cNTaQoFZJWxHIUEDjVsQaBlkMz+5UphOehj1Fu1LtUMW+Ss4LybSCxhOKqQsqq24oSiBOzcDAADNnzhQ3xhhTeVfU0YkZAhsl6viur/8QSIaYcZYmZuOJ2HKWK0P19rEEgkveIeJfqtdqRa1TJs6rUdw27fDsVCISIrDy9kqMqjEKlkaW4gfwhNoTclAypo00Htwwxli+8MpTdEVl1YFBvR4uCEFtyWNciagkZpzlidmyj+or9RIEWZnYujz61yspup4+5U7gHUw4PwF+MX6ISozCokaLclAips04uGGMMRKdduRmVhxpAjhATKXPsi+79eVia/rJwEYml2Hjg4349davSJYno5hlMQysPJA/DpaCgxvGGCMW2VuxOhA24l8a5cOyL7v19anjwuLDMPXiVFzwvSC225Rsg5l1Z8LCSHNLOrD8h4MbxhgjJeoB5g5ATFCm9SGTA/4ohOuyCmJ0Dw1fZtlH9UX15h8Rn2nejd771bI/Vq+PQx/jh1M/IDA2EEYSI0yqMwndynbj0VAsg89bDYwxxrSFRB+wVAxFTj9tFgU2ZHZSf8ggEcOWOZk4Z6i+qN5I+rwm5fan6rWwmaJ1raRVSWxtvxXdy3XnwIZlioMbxhgjLy8B/vcghQRBsE5TJ9Ri833S/3DXshFW96uRMh8LyxmqN6o/aqFJjbazqtfoxOiU+7YmtvijxR/Y/uV2lLcrz9XPssTdUowxRk01pxQL7G5LbooFkm9x8itDOErCFTMUm1XFICvzj86ky7KHAhgaRk+jpyjJ+GMzFF/zu4aJFybifzX+h06uncQ+V1tXrmr2SRzcMMbY02PAm6uIlxvil+QumNGtKpzci4l6qfz+xlSHApmPDaOXyqRYe28t1txbI0ZGbXu8DR3KdIBEjzsbWPZwcMMY020yGWSnZos++g3SNqhVtSK61yyq6VLprKDYIEy+MBlX/a+K7c6unTHZYzIHNixHOLhhjOm2+/9BEvgAkXIz7DHrhu1fVeUkVQ3xfOcpApvQ+FCYGphi+hfTRYsNYznFwQ1jTHclJyL22CyYAVgr/RIzezaAjZmRpkulk95EvcHwk8MhlUtR1rYsljZeitLWpTVdLFZAcXDDGNNZEZ7rYB3zBkFyK+h98b1YmJFpBs0y/HWVrxGeEC7WhjIx4EkSWe5xcMMY00myhBjIzirWIvrPvA9GtnHXdJF0zoW3F1DSuqQIbMjI6iO5S5CpxGelnkulUixfvhwDBgzAkiVLkJycrJpSMcaYml3fsRC2slC8lTug5YCJMDLgkTh5JUmWhOU3lmP4qeGYcG4CkqRJYj+t6M2YKnzWf82TJk3CnDlzEB8fj59//hmjR49WSaEYY0ydHvq8QoXnf4v7b6r9D2WceCmFvOIX7YfBRwdj/YP1YruKfRXIM12QgTENBTf79u3Dpk2bsGPHDhw4cAC7d+/+nNMxxpjaxSVKcWfbbFjrxcDXsCS+6DSMaz2PnHl9Bt0OdMPdoLuwNLTE8ibLMfWLqTDS5yRulo9ybgICAlCpkmKtkMqVK4ttxhjLz1bsvYBRCQfEgkbW7WdBT59TD9WNup1+vvUz/nn4j9iuUqgKFjdenJJrw5iqfdZ/1XK5HBKJJKWvlLYZYyy/Ov7AHy73foOZQQKi7N1hWU0xpT9TL+p2uhlwU9zvV7EfxtQcA0N9Q652ln+CG1tb25Skr+joaFSvXj0lwGGMsfwqMDIev+w6gT36p8W2Zfs59KtM08XSavSDl64X1O1E89Y8C3uGZsWbabpYTAfkOLihxGHOaGeMFSQymRxjd97F18nbYKQvhaxUE0hKNdJ0sbRWojQRS28shaWRpRjeTagLiruhWL4NbgYNGqSekjDGmJqsu/QCAc9v4yujS2Jb0mIm17WavI58jXHnxuFR6COxHlSnMp1Q3Ko41zfLUznuT9LX10dgYKB6SsMYYyr28F0kFh99gvEGOyDRkwMVOwJFanA9q8HRl0fR42APEdjYGNtgZbOVHNiwgtFyw0nDjLGCIj5JilHbbqOK7DFaGt6EXE8CvWbTNV0srROfHI/F1xdj59OdYruGYw0sarQITuZOmi4a01G5Gi3FOTeMsYJg/uFHeBYYhV2mO2nIDvTc+wAO5TRdLK1CP3iHHB+CO0F3oAc9fFv1Wwx3Hw4DCQ+xZ5qTq2+fk5PTR5dkYIwxTTv1KACbLr9CQ4kXaskfADRRXONJmi6W1qEfu13LdcXrqNdY0GAB6hWpp+kiMZa74GbXrl2ws+Ppyhlj+VNgVDwm7LoHPciwyGYvEAug9reADU8apwpxyXFiGYXSNqXFdmfXzmharCmsja1Vcn7G8jy4oSi9fv36cHR0/OwXZ4wxdXSTjN95DyExiRhi5wWX2MeAkQXQcCxXtgp4h3uL0VBRiVHY1WEXbExsxH4ObFiBHi3FCcWMsfxsg+dLnHsaBDMDOcYb7VLsrDsCMLfXdNEKvL3P96LXwV54Hv4cUrkUvjG+mi4SY6ppuTlz5gx3STHG8qXH/pFYcOSxuP9XtacweuANmNoBdX/QdNEKtNikWMy7Og/7vfeL7S+cv8CChgtgb8oBI9OSlpuYmBicOnUqw/5jx47hyJEjqioXY4zlfNj3v3eQmCxDq3I2qPvmL8UD1B1lYsW1mUtPw56i16FeIrChSfloxuE/Wv7BgQ3TruBm0qRJmY6Iou4qeowxxjRh4ZHHeBIQBXsLIywvfQN6kb6AVRFFIjHLtXX31+FFxAs4mjri71Z/Y6jbUBHkMKZV3VLPnj1DpUqVMuyvUKECnj9/rqpyMcZYtp15EihybcjyzqVhcfg7xQONJwKGJlyTn2Fqnakw0TfBjzV+hJ0Jj5JlBUOOw29ra2v4+Phk2E+Bjbm5uarKxRhj2RIcnSBGR5FB9UqiUdAOIDYEKOQKuPflWsyhRyGPsOzGspTBI7T45U/1fuLAhml3cNOpUyf873//g7e3d5rAZuzYsejYsaOqy8cYY1miCzDNZ0MBTvnClpjUyB64/JviwWbTAH2eJTcndbnt8Tb0PdwXGx5sECOjGNOZ4Gbx4sWihYa6oUqVKiVuFStWRKFChbB06VL1lJIxxjLxz5VXOP04EEYGEvzS2x0mV34BEqMB52pAxU5cZ9lEc9aMPTdWjIhKkiWhSdEmaFa8GdcfK7AMctMt5enpiRMnTuDu3bswNTWFm5sbGjVqpJ4SMsZYJp4GRGHeoUfi/uS2FVDBNBK4/n6EVPMZgISTXrPjfvB9MSmfb7SvWA9qdI3R6F+pP68hyHRz4cxWrVqJG2OMaWLY94//3kZCsgyNyzmIXBvsHwlIE4ASDYAyzflDyYY9z/Zg9pXZSJYlo4hFESxptARVHapy3bECL1c/bc6dO4cOHTrA1dVV3CjX5sKFC6ovHWOMZWLJsSd47B+FQuZGWNLdDXrBz4A7WxQPtphJv8C43rKhmGUxyOQytCjeAjs67ODAhulucLN582a0aNECZmZm+PHHH8WNuqaaN2+OrVu3qqeUjDH23vmnQfj74gtxf3E3NzhamgBn5gJyGVC+HVDMg+vqIyITI1Pu13Kqha3ttmJ5k+WwMuKJDpkOBzfz5s0TScXbt29PCW7o/sKFCzFnzhz1lJIxxgCERCdg7M67oi76f1ECzSsWBt7dBh7uow5zoNl0rqcsUAvNhvsb0Oa/NvCJ+DCdR2X7ypxfw7ROjoMbmuOGuqTSo66pFy8Uv6YYY0wdQ5Un/ueFoKgEuDpaYGr7iooHTs1W/OvWAyiccYJRBoTFh2Hk6ZFYdnOZGBl10PsgVwvTajlOKC5WrJhYW4pybVI7efKkeIwxxtRhy9XXOPkoAEb6EvzaqzpMDPWBFxcA79OAxABoMpkrPhO3Am5hwvkJCIgNgJHECBM9JqJ7ue5cV0yr5Ti4ocn6qCvqzp07qFevnth36dIlbNiwAb/88os6ysgY03HPA6Mw99BDcX9Cm/Ko5GJFTTnAqVmKA2oOAuxKabaQ+bAbitaF+u32b5DKpShpVRJLGy9Febvymi4aY/kvuPn+++/h5OSEZcuWYceOHWIfTeJHeTc0ezFjjKlSQjIN+76D+CQZGpa1x9f13wcxTw4Db68DhmZAo/Fc6ense74Pv9xS/OD8svSXmP7FdJhRXTGmA3I1z81XX30lbowxpm7Ljj/FQ79I2JoZYmn3apBI9ACZFDj1fgBDnWGApRN/EOl0KNMBR14cQdtSbdHZtTMnDTOdwguvMMbyrYvPgrH2vGJkz6Kubihs9X6Fb6+dQNAjwMQaqP+jZguZT0hlUux+vhudy3SGob6hmG34j5Z/cFDDdFKOgxtbW9uP/scSGhr6uWVijDGExSRi7M47oib61CmOVpXft84kJwJn5ivu1/8fYGqr87UVHBeMSecn4ar/VbyIeIEJtSeIOvnY32rGtFmOg5sVK1akDMuk/JvZs2fD0dFRHWVjjOko+vsyafc9BEQmoLSDOaYph32TWxuB8FeARWFFl5SOu/zuMiZfmIyQ+BCYGpiiol2qumJMR+U4uBk4cGDK/ZEjR6Jr164oXbq0qsvFGNNh266/wbEHATDU1xPDvs2M3v+pSowBzi1W3G88ATDS3QRZWg9q9d3V+PPen5BDjrK2ZcVoqNLW/PeYMc65YYzlK95B0Zh9QDHse1yr8qhSxPrDg1dWAzGBgG1JoPoA6KqAmABMvDARNwNuiu2uZbtiksckmBi8z0liTMd9dnDDfbqMsc8hlclx7UUoAqPiYWdmhEVHHyMuSYp6ZQphSMNUrRCxocClXxX3m04FDIx0tuITpAl4HPoYZgZmmFl3JtqVbqfpIjFWsIObLl26pNyPj4/HsGHDYG5unrJv9+7dqisdY0yrHb3vh1kHHsIvIj7NfjMjfSzv4a4Y9q106RcgIQJwrAxU6QZdzENS/pgsblVcdEHRqt4lrEpoumiMFfzgxsrKKuU/sH79+qmjTIwxHQlsvt98C/JMHotNlOLOmzC0sXZW7IjyB67+objffDogyfGyeAWaf4w/Jp6fiGHVhqGuS12xr0GRBpouFmPaE9zQMguMMfa5XVHUYpNZYEPo5xM93rKSE/Sp9YaSiJPjgGJ1gHJtdKryz745i2mXpiEiIQLzr87H3k57oS/R13SxGMvXcvzzp1mzZggPD1dPaRhjOoFybNJ3RaVGQQ89Tsch1Ecx/Js0n0mJftAFSdIkLLm+RKzmTYFN5UKV8XuL3zmwYUwdLTdnz55FYmJiTp/GGGMpKHk428fdmQ/IkgHXFkDJ+jpRi77Rvhh/bjy8gr3Edr+K/TC65mgY6etuEjVjOSHR9AipVatWoWTJkjAxMUGdOnVw7dq1jx5PrUY//PADnJ2dYWxsjHLlyuHw4cMqKw9jTP0cLbM3ZLlk8gvAa5dio/kM6Ep+TfcD3UVgY2lkiRVNV2Cix0QObBjLi4UzjYwy/wVx+vTpbJ+HVhIfM2YM1qxZIwIbmv24devWePLkSaazHlOLUcuWLcVju3btQpEiRfDq1SvY2Njk5m0wxjTEo5QdnK1N4B8Rn2neDf18crI2gdsTGvotByp/BThXgy4obFYYTYo2wauoV1jSaAlcLFw0XSTGdCO4qVu3LiwsLD77xZcvX44hQ4Zg8ODBYpuCnEOHDmHdunWYNGlShuNpP61d5enpCUNDQ7GPWn0YYwULJQnP7FAJwzbfyvCYsl3457rx0Dt7DNDTB5pOgzYLkYYgPCEcDoYOomV8et3pYuFLQ4ni7xxjTM3BDf2HN378+M9eT4paYW7evInJkyen7JNIJGjRogUuX76c6XP2798vAivqltq3bx8cHBzQp08fTJw4Efr6mY8eSEhIEDelyMhI8W9SUpK4qZLyfKo+L+N61gR1f5+bl7dHm8qFcfRBQJr9TtbGmNqmPDxufSu2ZdX6QGpdggoCbXTE5wh+j/odNzxvYEWTFeJvrAH9aZYqkoqZ6vDf6IJdzzk5n0FuJpJSheDgYEilUhQuXDjNftp+/Phxps/x8fER3V59+/YVeTbPnz/H8OHDxRueOXNmps9ZsGABZs2alWH/8ePHYWamnnVpTpw4oZbzMq5nTVDX95n+lFx/Tj9K9NDSRQpnc8DKEChjFYNCXusheXMFUj1DnEyqiXgtzKtLkifhSNwRXEtU5Bm+CnyFPYf3wESPl1BQN/4bXTDrOTY2Vn3BDQURquiSyg2ZTCZajNauXStaamrWrAlfX18sWbIky+CGWoYoryd1y02xYsXQqlUrMSGhKlGQRR8m5QUpu82Y6nE9a0c9334TjpAr18RsxEu/afZhcUy5DAZ/L1Hc9xiCZi20b7LQV5GvMPHiRDxNfCq2Gxk3woIvF8DU2FTTRdNq/LejYNezsudFbcGNKtjb24sAJSAgbZM0bTs5OWX6HBohRRWVuguqYsWK8Pf3F91cmSU504gquqVH51FXAKLOczOu57ymru/zIS/Ff/utKhWGtXmqi/r9/4AAL8DIEvqNxkFfy/5bOuhzELMvz0ZcchzsTOww+4vZCL8TLgIb/ruRN/hvdMGs55ycK8dDwe3s7D56yy4KRKjl5dSpU2laZmib8moyU79+fdEVRccpPX36VAQ9WY3eYozlP0lSGQ7e8xP3O1Uv8uEByjE5PU9xv95IwLwQtAkFNL/d/k38W9upNnZ22Il6LvU0XSzGtE6OW25onhkasm1tbS3yb77//nvMnj07VwnG1F00cOBA1KpVCx4eHuK8MTExKaOnBgwYIIZ7U94Modf67bffMGrUKIwcORLPnj3D/Pnz8eOPP+b4tRljmnPxeTBCYhJRyNwIDV3tPzxwZwsQ6g2Y2QN1h2vdR2RqYCqGd1/wvYDv3L4Tsw3zAATG8slQ8F69eqUEMxRkdO3aFaVLl87xeXr27ImgoCDMmDFDdC25u7vj6NGjKUnGr1+/FiOolChX5tixYxg9ejTc3NxE4EOBDo2WYowVHHtv+4p/O1RzgYGeHHhxAYh4A5x8n/zfaBxgbAltsO/5PsjkMnxV9iuxXdWhqrgxxvLZquAhISEiuImLixM3Wh18586dItjIqREjRohbVks9pEddVleuXMnx6zDG8oeYhGQcfz/8e4DNPWBFNyDy3YcDaF4bi8+baiI/iE2Kxbyr87Dfez+MJEao7lgdJa15Xi7G8kKOc26o+4jmmdm2bRsGDRoEV1dXNGjQADVq1MjR7MSMMd104mEA4pKk6Gd9F6VOf582sCFyKbDrG+DhfhRUT8OeotehXiKwkehJMNRtKIpZFtN0sRjTGTluuVm5cqXIifnmm29QqlQpbNq0SQQ8tHxC9+7dRasOY4xlZe8dX0ggw0T5euhluvjCe0cnARXaA5LMJ+jMjygPcfez3VhwbQESpAlwNHXEwkYLRfIwYywfBzfly5cXyx+kR3k3lAfDGGNZCY5OwIVnwfCQPIZlYuBHKkoORPoCrzyBUg0LTGAz9eJUHPA5ILbrF6mP+Q3mi+HejLECkFCclbJly6rydIwxLXPonh+kMjlqOSQAUdl4QnTaebDyM1o2obhVcejr6WNk9ZEYXGWw6JJijOW9XP2Xd+7cOXTo0EHk29CtY8eOuHDhgupLxxjTui4pUrFsuew9wSLt8iz5sbUmIiEiZXtI1SHY/uV2fFP1Gw5sGCtIwc3mzZvF4pa0LhPNL0M3U1NTNG/eHFu3blVPKRljBd6rkBjcfh0OiR5Qu3F7wMrlI0frAVZFgBL5d4K7qMQojDs3Dl8f+xrxyfFiH81bU96uvKaLxpjOy3G31Lx587B48WIx14wSBTjLly/HnDlzxCrdjDGW3t7bilFR9V3t4WhtDjQYAxwel0lF6Sn+abMw3yYTPwh+IAKbt9FvYaBngNuBt1HXJfOZ1RljBaDlhlbmpi6p9Khr6sWLF6oqF2NMi1D3zb73XVKd3d/Ph/X2uuJf/XRrv1GLTo9NQKWOyI/vY8ujLeh3pJ8IbFzMXbCx7UYObBgr6C03NEswrf9EuTapnTx5UjzGGGPpeflGwCc4BiaGErSu4gQEPgLu7VA8OPgwkBSnSB6mHBvqisqHLTaUWzPj0gycfqOYz6tZsWaYXX82rI2tNV00xtjnBjdjx44V3VB37txBvXqK/vBLly5hw4YN+OWXX3J6OsaYDnVJtahYGBbGBsAZWhxTDlTsABSthYJg3pV5IrAxlBhibK2x6FOhjxghxRjTguCGFq90cnLCsmXLsGOH4pdXxYoVsX37dnTq1EkdZWSMFWA09PvAvXcfuqTe3QYe0VwwekDTqSgoRtccjTdRbzCt7jRULlRZ08VhjKl6npuvvvpK3Bhj7FM8vYMRFJUAGzNDNCrnAGx7v9q3Ww/AsWK+rcDw+HCcfXsWnV07i21nC2dsbb+VW2sY0+ZJ/G7cuIFHjx6J+5UqVULNmjVVWS7GmJZ1SbWv6gwj36vA85OAxABoMgn5FY1+Gn9uPAJiA2BjbIMmxZqI/dwNxZiWBjdv375F7969RZ6NjY2N2BceHi7yb2gxzaJFi6qjnIyxAiguUYpjD/zF/c7uLsCpfooHqvcH7Eojv5HJZVh3fx1+u/0bpHIpSliVgJO5k6aLxRhT91Dwb7/9FklJSaLVJjQ0VNzovkwmE48xxpjSyUcBiE5IRlFbU9RMug289lQM/W40Pt9VUkhcCIafHI5fbv0iApt2pdqJ2YYr2FXQdNEYY+puuaGlF2jhTFpAU4nu02rhDRsWjAXuGGN5Qzm3TadqzpCc/V6xs/a3gPX7uW7yiev+1zHx/EQExQXBWN8YU+pMwVeuX3E3FGO6NM8NtdykJ5VK4eLysenUGWO6JCwmEWefBIn7fa29FKOkDGlm4g+zm+cXwXHBIrApbV0aSxsvRVlbXgSYMZ0KbpYsWYKRI0di1apVqFWrVkpy8ahRo7B06VJ1lJExVgAd8vJDskyOKk7mcLk1R7Hzi+8BCwfkl9mGlQnCbUu1RZIsCS2Kt4CZoZmmi8YYy+ucm0GDBokJ/OrUqQNjY2Nxo/u3bt3C119/DTs7u5QbY0x3Kbukxrh4AUGPABNroN5I5AdX/K6gx8EeosVGqWOZjhzYMKarLTcrVqxQT0kYY1rjbVgsrr8Mg6FeMhr5/qXYWe9HwFQxwlJTpDIpVt9djbX31kIOOVbfWY3pdadrtEyMsXwQ3AwcOFANxWCMaZN9dxRz20xwvAmDiJeAuQNQZ5hGyxQYGyiShm8E3BDbXct2xbjama1KzhjTuW4p4u3tjWnTpon5bgIDA8W+I0eO4MGDB6ouH2OsgKFclr23fWGMRPRN2KbY2WAMYGyhsTJd8r2Ebvu7icDGzMAMCxsuxE/1foKpganGysQYy0fBDQ0Fr1q1Kq5evYrdu3cjOjpa7L979y5mzpypjjIyxgqQh36ReBYYjf6Gp2EWHwBYFQFqfa2x8hx7eQzDTg5DWEIYytuWF3PXtC/dXmPlYYzlw+Bm0qRJmDt3Lk6cOAEjI6OU/c2aNcOVK1dUXT7GWAHskjJDPEYZ7VfsaDwBMDTRWHkaFGmAklYl0bN8T2xpvwUlrUtqrCyMsXyac+Pl5YWtW7dm2O/o6Ijg4A8jDxhjurkC+P477zBI/ygspeGAbSnAvW+el+Nu0F242buJod7mhub4t/2/sDDSXLcYYyyft9zQelJ+fn4Z9t++fRtFiuSvWUcZY3nr6osQxEaGYJjhIcWOplMAfcM8e/0kaRKWXl+Kfof74Z+H/6Ts58CGMd2S4+CmV69emDhxIvz9/cWvIlpTihbRHDduHAYMGKCeUjLGCoR9t99hiMEhWCEGcKgIVOmaZ6/tG+2LQUcHYePDjSmjoxhjuinH3VLz58/HDz/8IJZhoCUXKlWqJP7t06ePGEHFGNNN8UlSXLn/GIf1jyh2NJsKSPTz5LVPvT6F6ZemIyoxCpZGlphTfw6aF2+eJ6/NGNOC4IaSiP/8809Mnz4d9+/fF6OlqlevjrJleS0WxnTZ2SeB6J+8G+YGCZC7VIdehS/V/pqJ0kQsv7kcWx5tEduUZ7O48WIUseAucsZ0WY6DG6XixYuLG6GWG8aYbjt7/S5m6Z8U9/WaTQPer9ukTt7h3tj+eLu4P7DSQIyqMQqGeZjjwxjTkpybFy9eiMn7vv/+e4SFhaFjx45ifany5cvj3r176iklYyxfi4hNQjWfP2Gsl4RYJw+gTN50CVUsVBGT60zGb81+E7MNc2DDGMtVcPPdd9/h0aNHokuK5rZJTEzEvn37RO7N//73P65VxnTQhavX0E1yRtw3aztLba02CdIELLy2EE9Cn6Ts61G+BxoXa6yW12OM6Ui3FM1MfOHCBZQoUUKs/H39+nXUqFEDrq6uYnVwxpjusb62FIZ6Ury2rYviJeqp5TVeRrzEuHPj8CTsCTzfeWJ3x90wkOS6Z50xpsVy/JchKioKzs7OsLa2hpmZmZj3htC/9BhjTLcEed9G/dgzgB5g3HqGWl7jkM8hzL48G7HJsbAzscPE2hM5sGGMZSlXP3uOHj0qghua4+bUqVOiiyo8PDw3p2KMFXBRR2fDQU+Oq8b1UaeCaltt4pLjsOjaIvz37D+xXatwLSxqtAiOZo4qfR3GmHbJVXAzcODANDk4SjSpH2NMh7y7jdJBpyGT6yGo9liVnjo4LhhDjg/B8/Dn0IMevqv2Hb5z+45bbBhjqg9uqLWGMcZIzJGfYA5gv7w+mtRrqNJKsTW2RSGTQggzCcPCRgvxhfMXXOmMsWzhbDzGWO68ugzzN2eRJNfH1eLfobOZ0WfXZGxSLPQl+jDWNxb/UlBD7E3t+VNijKlvKDhjjEEuh/zUbFERO6WN0cCj9mdXyrOwZ+h9qDcWX1ucso+CGg5sGGM5xcENYyznvE9D77UnEuSG+Fu/O5pXzH2Cr1wux+5nu0Vg4xPhg7NvziI8ngcoMMZyj7ulGGM5I5cDp+eIu5ulLVC9WmWYGOZugcyYpBjMuTJHDPUm9V3qY37D+bAxUUwxwRhjucHBDWMsZx4fEqOkYmGM35M74hf33C1SSbMM06R8LyNfQl9PHyOqj8DXVb6GRI8blBljeRzcfGr9KDc3t88pD2MsP5NJgdNzxd11yW2gb+mIumUK5Wo17+EnhyMwLhCFzQpjSeMlqO5YXQ0FZozpohwHN+7u7mI+G+onTz23DW3TfV4hnDEtdv8/IOgRYiXmWJvcHt2ruUBfkvP5rYz0jTDti2licr659edyNxRjTPPdUrS+lIODgwhoqlSpgsOHD4u1phhjWkyaBJyZL+6uSfoSkbBA5xx0ST0IeYDIhEjUdakrtpsWb4omxZrw5J+MsfwR3BQvXhyOjorREdRaQ2tMcXDDmJa7swUIe4F4o0L4K7I1SjuYo0oRq08+jX4EbX28FctuLIOZoRl2ddgFJ3Mn8RjPas4YU4ccZ+5RUPP06VNx/927d4iJiUHbtm3FelOMMS2VFA+cU8w/s9O0O2Jhgq/ci3wyOIlIiMDos6Ox8NpCJMmSUNOxJkwNTPOo0IwxXZXj4KZNmzbo1asXhg0bhmbNmqFFixbYsGED+vXrh59++kk9pWSMadbN9UCkL6QWLpgXqFgGodMnuqTuBd1Dz4M9cer1KRhKDDHJYxJWNF0Ba2PrPCo0Y0xX5Ti4WbVqFQYMGIA3b96IwGbz5s1o3749rl27hv3796unlIwxzUmMAS4sE3c9i36NeLkRahS3QfFCZll2Q218sBEDjwyEb7QviloUxT/t/kHfin25G4oxlj9zbszNzTF/viKpMLXSpUvD09NTVeVijOUTkut/AjFBgG0pLAukZRZi0Ll61q021FX1IuIFkuXJaFWiFX6q9xMsjSzztMyMMd2m0kn8TExMVHk6xpiGGSTHQHJlpbgfUHM07hyMEUO/21d1znCsTC5LmYCPuqBqOdVC+1LtubWGMVYwgpsbN25gx44deP36NRITE9M8tnv3blWVjTGmYa6BR6AXHwE4VMDWGGq1eYFGZe1RyMI4TVCz/v563Ai4gVXNV4kAx8TABF+W/lKjZWeM6a4c59xs27YN9erVw6NHj7Bnzx4kJSXhwYMHOH36NKytOVGQMa0RE4QyQcfEXXnTKdhzN0DcT90lFRofiuGnhmPFrRW46HsRZ16f0VhxGWMs18EN5dv8/PPPOHDgAIyMjPDLL7/g8ePH6NGjh5j/hjGmHSSev8BAlgCZUzXcNm+I16GxMDPSR8tKhcXjN/xvoPv+7rjkewnG+saYVW8WmhVvpuliM8ZYzoMbb29vMTqKUHBD89xQAuHo0aOxdu1arlLGtEGELyQ0/Ju6nZpMxd4778T91pWdYGyghz/u/oFvjn8j1oYqbV0a/7b/F13KduH8GsZYwQxubG1tERUVJe4XKVIE9+/fF/fDw8MRGxur+hIyxvLe+SXQkyYg2Lw8Eks0xsF7fmJ3J3cXzL06F7/d+U3k2nQq00kENmVty/KnxBgruMFNo0aNcOLECXG/e/fuGDVqFIYMGYLevXujefPmuSoEzZ1TsmRJMdqqTp06Ys6c7Ob/UKtR586dc/W6jLFMhL4Abv8j7j5y6YZLPqEIjUmEvYURGrjao2f5nmIivnkN5mFug7liSQXGGCvQo6V+++03xMfHi/tTp06FoaGhmN+ma9eumDZtWo4LsH37dowZMwZr1qwRgc2KFSvQunVrPHnyJGX9qsy8fPkS48aNQ8OGDXP8moyxjzi7EJAlQ1a6GUItyuPEHV9ITF/hS7fGMNCXoIJdBRzvepyDGsaY9gQ3dnZ2KfclEgkmTZr0WQVYvny5aPkZPHiw2KYg59ChQ1i3bl2W55ZKpejbty9mzZqFCxcuiC4xxpgKBD4G7m0Xd2WNJyP4+hOcjVoHsxKvULW0e8ph3FrDGNOqbqnIyMiP3nKC5si5efOmWMYhpUASidi+fPlyls+bPXu2aNX55ptvclp8xtjHnJlHA7+BCl/iEuLwe/Qq6Jn6QE9uAFtLRYstY4xpXcuNjY1NpiMiaD0Z2k+tKtkVHBwsji9cWDG0VIm2aXh5Zi5evIi///4bd+7cydZrJCQkiJuSMgCj+XnopkrK86n6vIzrOU/43YHho/1Igh5WOpfE+rMjAD1AGu+MrkUmoqFLQ/5uqwH/3cg7XNcFu55zcr4cBzdnzpxJCWbatWuHv/76S4yaygs0Sqt///74888/YW9vn63nLFiwQHRfpXf8+HGYmaknEVKZcM3Ui+tZtb54vhRyfX2McimFhy8Vi+AmhX6B+MD2KG4djcOHD6v4FVlq/H3OO1zXBbOeczIiO8fBTePGjVPu6+vr44svvhCLZuYGBSh0joAAxcynSrTt5OSU6Rw7lEjcoUOHlH0ymUz8a2BgIJKQy5Qpk+Y5kydPFgnLqVtuihUrhlatWsHKygqqjirpw2zZsqVItGbqwfWsenpvrsDg9j38Y2WFhwaJsDC0QAPr77DzkQOqulhiUNe6anhVRvj7nHe4rgt2Peck9UWlC2fmFE0CWLNmTZw6dSplODcFK7Q9YsSIDMdXqFABXl5eafbRCC1q0aGZkiloSc/Y2Fjc0qMKV1cAos5zM65nlZPLgXMLxN2+ZTojqGgpdC/bHSM2vaLZ/NDR3YW/z3mA/27kHa7rglnPOTnXZwc3meXf5AS1qgwcOBC1atWCh4eHGApOsx4rR08NGDBAdHtR9xLNg1OlSpUMOUAk/X7G2Ke9i36H385PxbTXnjDTN4akyUSMsS6Kl8ExuPv2HvQgR/sqGVtRGWMsP8txcFO9evWUgCYuLk50EVELjNKtW7dydL6ePXsiKCgIM2bMgL+/P9zd3XH06NGUJGNaeZxGUDHGVOv069OYdmkaohKjYGZng2llewPWRcVj+94vt1DeWg4Hy4wtn4wxplXBTerZgDt16qSSQlAXVGbdUOTs2bMffe6GDRtUUgbGdEWSNAnLby7H5kebxXbV+AQMjkkGGoxJGSyw746vuF/TQa7RsjLGWJ4ENzNnzszVCzHGNO9N1BuMPzceD0IeiO2BSYYY5fcahg3HAhYOYp+XbwR8gmNgYiiBm12yhkvMGGM5x/09jOmI6/7X0eNADxHY0NpQv5XuhXFvvWFobA3UG5ly3N7bii6p5uUdYaKvwQIzxlhetdzQquAfSyIODQ3NbVkYY2pU0qokjPSNUN22OhbXnwen9e+nVKg/EjC1FXeTpTIcuKcIbjpUc0KCz1v+TBhj2h/c0GgmZb/8999/n7IUAmMs/wmLD4OtiSJwcTBzwPo261HMshgMb28Bwl4AZvZAne9Tjvf0DkFQVAJszQzR0NUeJ300WHjGGMur4IaGbSuNHDlSrAae20n8GGPqc9jnMGZfmY3Z9WajVclWYl9p69JAUjxwbrHioIZjAGOLlOfsfZ9I3N7NGUYG3GvNGCuY+K8XY1omPjkeP3n+hIkXJiImKQYHvA+kPeDmeiDSF7B0AWp9WHw2LlGKY/f9xf3O7nmzpApjjKmDxifxY4ypjk+ED8adG4dnYc+gBz0MdRuKYdWGfTggMQa4sExxv/F4wNAk5aGTjwIQkyhFUVtT1Cxhi+RkHinFGNOR4KZLly4p9+Pj4zFs2DCYm5un7Nu9e7fqSscYy7b93vsx98pcxCXHoZBJISxouAB1XdKtCXV1DRATBNiWBKr3T/OQcm6bTu4u/KOFMaZbwY21tXXK/X79+qm6PIyxXHgY8hBTL04V9+s41cHCRgthb2qf9qC4cODSL4r7TaYA+h/WaQmLScTZJ0HiPndJMcZ0LrhZv369ekrCGMu1SoUqYWClgbAwssCQqkOgL8lkgprLvwHxEYBDBaBqtzQPHfLyQ7JMjkrOVihb2JI/CcZYgabRVcEZY7lDUzFQN1Qd5zpwMlcsbDmu9risnxATDFxZrbjfdCqQLvhRdkl1ru7CHwljTPeCmxo1anz08ZwunMkYyxkaATXnyhwc8jmEGo418Hfrv2Eg+cR/yhd/BhKjAWd3oOL7yfveexMai+svw0BjAzpW41FSjDEdDG68vLxgZmaGb7/9FlZWVuopFWMsU09Cn4jRUC8jX0JfTx8NizaERO8TMzpE+ALX/lTcbzadhjimeXj/XcWMxHVLF4KT9YfRU4wxpjPBzf379zF+/Hj8888/YhFNGi2lr88L0DCm7m6onU93YtG1RUiUJaKwWWEsabwE1R2rf/rJ55cA0gSgeF3AtXmG8+69/b5Liue2YYzp6iR+5cuXx/79+7F9+3asW7cOVapUwYED6SYJY4yptBtq/PnxoiuKApvGRRtjV4dd2QtsQl8At//JstXmoV8kngVGi9mI21RV5O4wxpjOzlDctGlT3Lx5E5MnT8bw4cPRrFkz3L59W7WlY4yJbifvcG8Y6BlgXK1xWNlsJWxMbLJXM2cXArJkoEwzoGT9DA/vu/N+BfAKjrAy+TA0nDHGdKpbasyYMRn2tWvXDlu3boWHhweSkpJUVTbGdBZ1F9H/KLAxNTDFssbLEJUUhWoO1bJ/ksDHwL3tivvNpmV4WCqTY//74KYTd0kxxnQ5uMmqdaZWrVqqKA9jOi8yMRIzL81EZfvK+Lbqt6I+StvkYnHaM/MoTAIqfAkUqZnh4asvQuAfGQ8rEwM0reCg8/XOGNPh4ObMmTPqKQljDF5BXiK/xjfaFxd9L6Kza+eMMw1nx7s7wKP9tPpbpq02ZN9tRatNu6rOMDbgQQGMMR3Oufn6668RFRWlntIwpsPdUJsebMKAowNEYFPUoig2tNmQu8CGnJ6r+Ldqd8CxYoaH45OkOOzlJ+53rs5z2zDGdDy42bhxI+Li4tRTGsZ0UERCBH48/SOW3FiCZFkyWpZoiR0ddohuqVx5dRl4fgLQ0weaTMr0kDOPAxGVkAwXaxN4lLT7vDfAGGMFvVuKfmHqpRtOyhjLnSRpEvoe7otXka9gJDHChNoT0KN8j9z/NyaXA6fnKO5X7wcUKpPpYXvfL7fQwd0FEgn/98wY0y65Wlvqxx9/hKmpaaaP0dw3jLHsMdQ3RL+K/bD50WYsbbwUFewq5K7qZFLglSfw/BTw6hIgMQQaT8j00IjYJJx5zCuAM8a0l0Guh6nSL0TGWI6FxYchND4UZWwUrSo9y/dEJ9dOYsh3rjzcDxydCEQqEoQFAyPA9xZgXTTD4Ufu+yFRKkP5wpao6MxLqDDGtE+OgxtqLv/111/h6OionhIxpsVuBtzEhHMTYKRvJPJqLI0sxX9TnxXY7BigGPKdWmKsYn+PTUCljpl2SXXiFcAZY1oqxwnF3GLDWM7J5DKsvbcWXx/7GoFxgaI7ilpwPgt1RVGLTfrARvFfquKfo5MUx73nFxGHqy9Cxf2O1Vw+7/UZY0xbWm4GDhyYZb4NYyyj4LhgTLkwBZf9LovtjmU6YmqdqTAzNPu86qIcm9RdURnIgUhfxXGlGoo9NCMx9SjTCKmitp/5+owxpi3BzYoVKzJdYiE0NBQGBgawsuI+fMaUrvpdxaQLk0SAQ11PFNRQfo1KRPln77jogJS7e5QrgPPcNowxLZbjbqlevXph27ZtGfbv2LFDPMYY++Cfh/+IwMbVxhX/tv9XdYHNu9vAhWXZO9aisPjniX8UHvtHwVBfD+14BXDGmBbLcXBz9epVsSJ4ek2aNBGPMcY+mFN/DgZVHoSt7bemjI76LNGBwL4RwNqmQNAjxfIKWdIDrIoAJeqlSSRuUt4RNmZG/DExxrRWjoObhIQEJCcnZ9hPXVU8czHTdZ6+nlh6fWnKtq2JLcbWGpv70VBKyYmA50pgZU3g9j+KfBpaWuHLFe8DnPRBzvvtNgsBiT5kqVYA78wrgDPGtFyOc248PDywdu1arFy5Ms3+NWvWoGbNjCsPM6YLaNmE3+/8jr+8/oIccrg7uqNFiRaqOfnTY8DRyUCot2Lb2R1ouwgo/oVi28wu4zw3Vi6KwOb9MPAbr8LgGx4HC2MDNK/I0zgwxrRbjoObuXPnokWLFrh79y6aN28u9p06dQrXr1/H8ePH1VFGxvI1/xh/TDw/EbcCb4ntHuV6oEGRBp9/4qCnwLEpinWiiLkD0Hwm4N4XkKRqdKUApkJ7xagoSh6mHBvqipJ8WOlb2SXVpooTTAx5BXDGmHbLcXBTv359XL58GUuWLBFJxDQs3M3NDX///TfKli2rnlIylk+df3seUy9ORXhCOMwNzfFTvZ/QpmSbzztpXDhwbjFw7Q9AlqxYSuGL74FG4wGTLEYjUiDzfrh3eonJsg8rgHOXFGNMB+Rq+QV3d3ds2bJF9aVhrAD5896f+PX2r+J+pUKVsLTRUhSzKpb7E9Jke5RPc2oOEBus2FeuDdBqHmDvmuvTnnsahPDYJDhaGqNumUK5Lx9jjGlzcMMYUwQ0etBD7wq9RdIwLamQa9SldGQi4H9PsW1fDmi9ACj7+Xk7e9/PbUMzEuvzCuCMMR2Q7eBGXz97/fRS6Yep3hnTNiFxIShkqmj9qF+kPvZ22ovSNqVzf8LwN8CJGcCD3YptY2ugySTAYwigb/jZ5Y2KT8LJR4pJ/HjiPsaYrsh2cGNoaCgCnJEjR6Ju3brqLRVj+UySNAnLby7HPu992P7ldhSzVHQ/5TqwoYUtPX8FLq4AkuMUQ7drDgSaTQfM7VVW7qP3/ZGQLEMZB3NUduHZwxljuiHbwc3Tp08xbdo0LF26FJ06dcKCBQtQrlw59ZaOsXzgbdRbjD83HvdD7ovti74XRVdUrtDCTtRKc3wGEPlWsa9EfcWwbWc3qNq+VHPb0OrjjDGmC7I9iV/x4sWxadMm3L59G/Hx8ahSpQqGDh0KPz/FKAzGCgqpTI7L3iHYd8dX/EvbWTnx6gR6HOghAhtrY2usbLYy94GN311gfTtg19eKwMa6GNB9AzDokEoDG+X7++fyS1x6rkhM7sSjpBhjOiTHCcVVq1bFoUOHcP78eUyaNAmurq748ccfxX1ra2v1lJIxFTl63w+zDjyEX0R8yj5naxPM7FAJbao4p+xLkCaImYa3PVGso+bu4I7FjRbD2eLDMdkWHQScngPc2qSYWZhmK24wGqg3EjAyU/v7o7WkHvpFoHghXgWcMaYbcrz8glKjRo3g6ekphoTv378fpUuXFnPfMJZf0YX/+8230lz4iX9EvNhPjyttebQlJbD5usrXWNdmXc4DG7Fkwm/AyhrArY2KwKZKN2DkDaDJRLUENpm9vySpPMP7Y4wxbZbtlpsuXbpk+ViZMmXw4sUL0Xozfvx4VZWNMZV21VCLRmYdUMp9M/Y9QEVnKzFcuolTF1xwvIKOpXqgduF6CIhIojAh269n8vIUrM/PhGGYYsmERIcqCG88F4lF6gAyAGGxUPX7m77vQabvT4nef8tKTjwcnDGm9bId3Hyqy6lnz56qKA9janHtRWiGFo009JIQZngejZdQ0KGc9qATzpxLAHAm269TSs8P0ww2o7n+bbEdJLfCkuSe2PWmMWSbY3N0LlWioIfeP9UDT+THGNN22Q5u1q9fr96SMKZGgZFZBzYSo0CYFNkKfRN/6BvEQx6a8+UTLBCL4ZL/0F/vKIz0pEiS62OTvA1+l3VFtJ4ZDNU8XSa13CR/JDFaKTDqIwEeY4xpCZ6hmGm9d+Fx2OD5MtPHDKxuwcR5L/QkiZAlW2B843b4pmbrnC2ZcGcLcGo2EBOk2Fe2FQxbz8c39mXxDfIGjY7q/eeVTx7naGmSJ+VhjDFN4uCGaS2ZTI6t115j4ZHHiE5ITvugXiJMnPbB0Oam2EyOKQOrqIEYVL1V9l/g1WXg6ETFEG9SyFWxZEK5HJxDRTxK2YlRX5QcnVn7Dc1w42RtIo5jjDFtx8EN00o+QdGYtNtL5JiQ6sVt0MHNBXMOPoQedUMV3Qx940DI5XpIDG6OpOBm+Llfrewl20a8BU7MBO7vUmwbWwGNJwIeQwGDz1hf6jNQuWk4O42KoneQOsBRviN6nNeWYozpAg5umFZJlsrw18UX+PnEU7HsgKmhPia0KY8BdUuKC7uLjQlmHDmFWMMwyJIsEf+uFxwNK2Nmv7Tz3GQqKQ64REsm/PxhyYQaAxRLJlg4QNOo/Kv71cgwz41TJvP4MMaYNuPghmmNh+8iMeG/u7jvGym2G5a1x/yvqqKYnRmklBsDfXGBb1mpL9bfKgRTeXGUbuokumo+2qJBSyY83Ascnw5EvFHsK15XsWSCizvyE8X7cxItVpQ8TDk2n3x/jDGmZTi4YQVefJIUv51+jjXnvMWIISsTA0z/shK61Swq1lN6EvoEE89PxIy6M1CjcA1xof+2VtvsndzvHnB0EvDqkmLbqijQajZQuQuQT9dqovfHw70ZY7qMgxtWoN18FYoJu+7BOyhGbLep7ITZnSuLFgu5XI4dT3Zg0bVFSJQlYtnNZdjcdnPaBSSpReeVJxAdAFgUBkrUAyT6QEwwcHquYmZhuQwwMAHq/w+oP0rlMwszxhhTLQ5uWIGUIAVmH3qMzVdfi14jewtjzOlUGW2rKvJKohOjMevyLBx9eVRsNyzSEPMazEsb2DzcrxjtFKlYOVuwdAHKNAMeHwDiIxT7qJWm5WzApljevknGGGO5wsENK3AuPAvGwrv6CE14Lba71yyKqe0rwsZMMVLpYchDjD83Hq+jXsNAzwCjaozCgMoDINGTpA1sdgxIN64IQNQ74M5mxX2nqkDbxYrWHMYYYwUGBzeswAiPTcScg4/w3623YqRSERsTLOjihkblPoxUehb2DP0O90OSLAnO5s5iJW93x3RJv9QVRS02H1uJycQG+Pa0xoZ2M8YYyz0ObliBcNjLDzP23UdwdKLI421YWIZfv60HGwvTNMe52riicdHGSJYnY279ubA2zmRNNMqxSd0VlZn4cODNVaBUQxW/E8YYY+rGwQ3L92tCTd93H8ceBIjtMg7mmN+5Mvzve8LcWPH1fRD8AMWtisPSyFLk1CxouADG+sZp82vSnPRR9l6ckowZY4wVOKmSEDRn1apVKFmyJExMTFCnTh1cu3Yty2P//PNPNGzYELa2tuLWokWLjx7PCiYx0un6G7RYfk4ENgYSPfzYzBWHRzVEjeI2KcdserAJ/Y70E8nDtE1MDEwyD2wi/YDD44Fjk7NXCBo9xRhjrMDReMvN9u3bMWbMGKxZs0YENitWrEDr1q3x5MkTODo6Zjj+7Nmz6N27N+rVqyeCoUWLFqFVq1Z48OABihQpopH3wFTrTWgsJu/2wsXnwWK7ahFrLOrqhkouVmI7KUmGWFksxpwfg3O+58Q+mVwm8myM9DPJkYkKUMwqfGMdIE1Q7KPjpIlZlEAPsHLhRGLGGCugNB7cLF++HEOGDMHgwYPFNgU5hw4dwrp16zBp0qQMx2/ZsiXN9l9//YX//vsPp06dwoABNPqFFVRSmRwbPV9iybEniEuSwthAgjEty+GbBqVgoP+hkfFu0F2silqFiMgIGEoMMaH2BPQs3zNja010IHDpF+D63++XSwBQ7Aug6RRFTs2Oge8PzGQlJpp9mOa7YYwxVuBoNLhJTEzEzZs3MXnyh24CiUQiupouX76crXPExsYiKSkJdnaZr3ackJAgbkqRkYqp+ek5dFMl5flUfV5d8CwwGlP2PsCdN4q5ZTxK2mJe50ooWcgccpkUSTKpaJ3Z9GgTVt1dBalciqIWRbG4wWJUsKuA5ORUq37HBENy5TdIbq6DXlKs2CUrUguyRpMgL9U4ZWZhva7roX98CvRo+Pd7cisXSFvOg7xsW/ogocv4+8z1rG34O12w6zkn59OTKxMVNODdu3eiK8nT0xN169ZN2T9hwgScO3cOV69e/eQ5hg8fjmPHjoluKeqmSu+nn37CrFmzMuzfunUrzMx4pllNS5YBJ331cNxXAqlcD8b6cnQqIUNdRznSL4dEXVEro1YiSh4FN0M3dDLrBGM945THDZOj4Bp4BKWDTsBApghow8xK47FzFwRaVs18uQS5DIWin8AkKRzxhjYIsSgPpJ4PhzHGWL5AjRl9+vRBREQErKwUaQr5tlvqcyxcuBDbtm0TeTiZBTaEWoUopyd1y02xYsVEns6nKic3UeWJEyfQsmVLGBoaqvTc2uje2wjRWvMkIFpsNylnj9kdK8HZOvPPkpQKLAWfMB+YPTcTn6Go57gwSK6uhuT6H9BLVCzDIHdyg7TRJFi4tkStT64B9aVK35e24O8z17O24e90wa5nZc9Ldmg0uLG3t4e+vj4CAtIOuaVtJyenjz536dKlIrg5efIk3NzcsjzO2NhY3NKjCldXAKLOc2uDuEQpfj75FH9d8IFMDtiZG2Fmh0roWM0lTd4MdUP95fWXmIyvQ5kOYt8XRb5ATceaOOx9GIbSWBheXQtcWQ0kRH6YVbjJFOiVbwuDfLqwZUHD32euZ23D3+mCWc85OZdGgxsjIyPUrFlTJAN37txZ7JPJZGJ7xIgRWT5v8eLFmDdvnuiOqlWrVh6WmH0uT+9gMRLqVYgiF6aTuwtmfFkJhSzSBqDBccGYcmEKLvtdhqmBKTycPFDY/P3Q7PhIlPPbC4PfRnwIagpXAZpMAsq3p8Qt/qAYY0yHabxbirqMBg4cKIIUDw8PMRQ8JiYmZfQUjYCivJwFCxaIbRr6PWPGDJEzQ3Pj+Pv7i/0WFhbixvKnyPgkLDj8GP9eU6wH5WRlgnlfVUHzihnnkrnmdw0TL0wUAY6Jvgkme0yGo5kjkBAFXF0DA8/fUJFGOxGHioqgpmJHDmoYY4zlj+CmZ8+eCAoKEgELBSru7u44evQoChdWXPRev34tRlAprV69Woyy6tatW5rzzJw5UyQPs/zn5MMATN3rhYBIRZJv3zrFMbFtBViZpG1ilMqkWHtvLdbcWyO6pGgphaWNl6KMaWHFPDWeK4G4UDFYO8rEBaZtZ8GgajcOahhjjOWv4IZQF1RW3VCULJzay5cv86hU7HMFRydg1oGHOHBXMdS6ZCEzLOzqhi9KF8pwbLIsGcNODsNVP8UIuS5lu2CS+48wvb1ZMVdNbIjiwEKuSG4wDqdfmaBdpS85sGGMMZY/gxumXWh2gX133mHWgQcIi00SQ7qHNCqN0S3KwcQw84nxDCQGqFKoCu4F3cOM2pPwZfA7YFUdICZIcYBdaaDxRKBKN8gpC/n14bx9U4wxxgoMDm6YSr0Lj8PUPV4480QRlFRwssTibm5wK6pYDyp9a01kYiTsTBQTMP5Q5Rt0jYlHsf2TPixaaVsSaDQBcOsJ6L//usp0e3I9xhhjH8fBDcvVMgnXXoQiMCoejpYm8ChlJ/Jgtlx7jUVHHiM6IRlG+hL82NwV3zUuA8NUSyco+cf4Y+L5iUiUJmJTi7UwvPsvDC8sQ7FoRYI4bIoDjcYD1XoD+jysnjHGWPZxcMNy5Oh9P5FH4xcRn7LPwcII1qZGeB6kmIyPVu2m1hpXR8tMz3H+7XlMvTgV4QnhMJcY4dkfdVApzFfxoFVRoNE4wL0vYJDJIpiMMcbYJ3Bww3IU2Hy/+VaaZSZJUHSiuFFrzeR2FTCgbknop187gWatlCVh5a2VWP9gvdiumCzHUr+XKE7rQlkVARqOAar3BwwyTrrIGGOMZRcHNyzbXVHUYvOxhchszAyzDGzeRb/D+HPjcC/YS2z3iYjC2NAwGFk6Aw3GADUGAIZZL7vAGGOMZRcHNyxbKMcmdVdUZgKjEsRxdcukG+otTcbMY9/hXvRLWEplmB0cghYSK6DNQqDmIMDQlD8FxhhjKsPBDcsWSh7OjAQyeEgewxHhCIQNAiOr0mQ0igdlUsBrJ3BuEaZHvsYce1vMjNFD0QbTgFpfA0a8KjtjjDHV4+CGfVJ8khQnHwVm2N9acg0zDTfBRS80ZV/Cib8Ao0V4GxuIqzdXo6u/j9hf3KwQ/qw6Eqj9LWBkzrXOGGNMbTi4YR9163UYxu+8C++gmAyBzWrDFRmON4r1x4lDwzDTvhCiTfTgYm2PurV+ADyGAsa89hdjjDH14+CGZdlas+z4E/x98QVoQmB7C2N0rVkEa8/5iK4oarEhqXOHE/SApXa22GalGAJezdgeJQb8ARQqx7XMGGMsz3BwwzK4/jIUE3bdw4tgRWtNl+pFMKNDJdiYGaF6MRvs37cDLkkfuqLIawMDjHO0xyNjxdw0g8MjMfLLlTDkwIYxxlge4+CGpYhNTMbio0+w8fJLyOVAYStjzP+qKppXVKzQTtpUcUYrmQuw+8PzjpmZYqZDIcRIJLCRSjEvKASN4uKB2GCuXcYYY3mOgxsmXPYOwcT/7uF1aKzY7lGrKKa2rwRr03RLH8SEQPJwX5pdsRKJCGxqxMdjUWAInKRSxQMWH4IixhhjLK9wcKPjaB2ohUceYfOV12LbxdoE87tURZPyjmkPTE4Arq4Bzi8DEiKQnOrL0zk6BmYyGZrHxr3fpwdYuQAl6uX122GMMcY4uNFlF58Fi9Ya3/A4sd3bozimtKsAS5NUrTXUP/VgN3DyJyBcEQAdKFIef5kZYqP3I9jIZNCDHK1jFecQgQ2hCfok+nn+nhhjjDFuudFBkfFJWHD4Ef699kZsF7U1xaKubqjvap/2wDfXgGNTgLfXxWaspTMWlK2BvWFeQHIcttTthx+8TgCR7z48h1psKLCp1DFP3xNjjDGmxMGNjjn7JBCTd3ulLKUwoG4JTGxTAebGqb4KoS8ULTUP9yq2Dc3xvPZAjIt5AO8wL+hBD99X+x5D3YYCzQG88gSiAxQ5NtQVxS02jDHGNIiDGx0REZuEOYceYtfNt2K7RCEz0VrzRelU60DFhQHnlwLX1gLSREBPArl7X+wtXQvz765CvDQe9qb2WNRwETycPT48r1RDDbwjxhhjLHMc3OiAkw8DMGWPl1jYUk8PGFyvFMa1Lgczo/cff3IicONvsQaUCHBI6aZAq7nYFu6F+Vfni111netifsP5IsBhjDHG8isObrRYWEwiZh14gL13FDkxpe3NsbibG2qVtPuQLPz4IHBiJhDqrdjnUFEENXBtDoqE2tsVx+aHm9HZtTO+qfoNJHoSDb4jxhhj7NM4uNFSR+/7YdreBwiOThBLJAxpWBqjW5aDieH7EUy+t4Dj04BXlxTb5g5A06mQu/fD5cDrqPt+3JOVkRV2d9oNY31jjb4fxhhjLLs4uNEyIdEJmLH/AQ7d8xPbZR0tRGtN9eK2igPC3wCnZgNeOxTbBiZA3RFAg/8hWk8Psy9NxZGXRzCj7gx0L9ddHMKBDWOMsYKEgxstIZfLcfCeH2buf4DQmEToS/QwrHFp/Ni8LIwN9IH4SODiz8CV34FkxUgpuPUCmk8HrIviUcgjjDs3Dq+jXsNAzwAJNGkfY4wxVgBxcKMFgqISMH3vfRx94C+2KzhZYkm3aqha1BqQJgPX/wbOzP+w1lOJBkDruYBLdREUbXv8L5ZcX4IkWRKczZ2xuNFiuDu6a/ZNMcYYY7nEwU0BRoHJvjvv8NOBBwiPTYKBRA/Dm7piRFNXGOnrAU+PAcenA8FPFE8o5Aq0nA2UbyeShSMTI/GT50848eqEeLhJsSaYW38urI2tNfvGGGOMsc/AwU0BFRAZj6l7vHDyUaDYruRshSXd3VDZxRrw9wKOTQVenFMcbGoHNJkE1Poa0P+wtMKzsGc49foUDCQGGFNzDPpV7Ac9GivOGGOMFWAc3BTA1hqaiG/OwYeIjE+Gob4efmxWFsOalIFhTACwdwpwZwsdCegbAXWGAQ3HAqY2Gc5Vs3BNTPGYgsr2lVHFvopG3g9jjDGmahzc5ENSmRzXXoQiMCoejpYm8ChlJxKE34XHicn4zj4JEse5FbUWuTXl7STA+UWA569AUqziJJW7AC1mArYlU84bkRCBeVfniaUTSlmXEvt6VuipmTfJGGOMqQkHN/lwfppZBx6mrP1EnKxN0LyCo8iviU5IhpGBBKNblMOQ+sVh4LUN2DwXiFYkE6OoB9B6PlCsdprz3gm8gwnnJ8Avxg9vIt9ga/ut3AXFGGNMK3Fwk88Cm+8336IOJUECGTwkj+EYFQ7v6zaIlVVA9eJ2WNLNDa5RN4C/BgAB9xUH25QAWs4CKnUWycJKMrkMGx9sxK+3fkWyPBnFLIthet3pHNgwxhjTWhzc5KOuKGqxUQY2rSXXMNNwE1z0QlOO8UchFKo2DoYnVgDPjit2mlgDjcYDHkMBg7SzCIfFh2Hqxam44HtBbLcp2QYz686EhZFF3r0xxhhjLI9xcJNPUI6NsiuKApvVhisyHFNYHgKcmKzYkBgAtb8FGk8EzN6vFZXK68jXGHxsMAJjA8UMwxM9JqJb2W7cYsMYY0zrcXCTT1DysLIrilpsxP10o7JTeptoyYSh5wHH8lmez9nCGS7mLjAzMMPSxktR3i7rYxljjDFtwsFNPkGjogjl2KTuisoULZ8QQ/PbpA1YQuNDYWloCUN9QxhKDLG8yXKYG5rDzNBMnUVnjDHG8hWJpgvAFGi4t7O1CRwRnr0qiQ5Is3nN7xq67u+KX279krLPwcyBAxvGGGM6h4ObfILmsZnZoRICkXGyvUxZFBb/SGVSrL6zGkNODEFwXDAuvbuEuOQ49RaWMcYYy8c4uMlH2lRxxqDevRGAQpAph01loAdYFQFK1ENQbBC+O/Edfr/7uxjy/ZXrV2L+GlMD07wtOGOMMZaPcM5NPtOmalFIJT9Db+dAMSxcL2VwOHmfUdxmITz9r2Lyhckiz4aCmelfTEeHMh00VWzGGGMs3+CWm3xIv3In6PXYBD0r57QPWLkAPTYh0rUJxp0dJwKbsrZlse3LbRzYMMYYY+9xy01+VakjUKE98MpTkTxMOTYl6gESfVgBYpbha/7XMLH2RJjQ0HDGGGOMCRzc5GcSfaBUQ3H3wtsLMA64CQ9nD7HdtlRbcWOMMcZYWhzc5HNJsiSsvL0S6++vRyGTQtjVcRfsTe01XSzGGGMs3+LgJh/zi/bD+PPjcTforthuWaIlLI0sNV0sxhhjLF/j4CafOvP6DKZdmobIxEgx6/Cs+rNEcMMYY4yxj+PgJp+hSfmW3VyGfx7+I7arFKqCxY0Xo5hlMU0XjTHGGCsQOLjJZyR6EjHEm/Sr2A9jao4Ra0UxxhhjLHs4uMknkmXJMJAYQE9PT0zI175UezQsqhgpxRhjjLHs40n8NCxRmoj5V+dj9NnRkMsVsxHTSt4c2DDGGGO5wy03GvQ68jXGnRuHR6GPxPatwFuoWbimJovEGGOMFXjccqMhR18cRY+DPURgY2Nsg1XNV3FgwxhjjKkAt9zksfjkeCy+vhg7n+4U2zUca2BRo0VwMnfK66IwxhhjWomDmzxGk/KdfXMWetDDt1W/xXD34SKRmDHGGGOqwVfVPDak6hA8DHmIOfXmoF6Renn98owxxpjW4+BGzeKS43A/+D5qO9UW224ObjjS5QiM9I3U/dKMMcaYTuKEYjXyDvdGn0N98P3J7/Ek9EnKfg5sGGOMMS0PblatWoWSJUvCxMQEderUwbVr1z56/M6dO1GhQgVxfNWqVXH48GHkJzRfzZ5ne9DrYC88D38uFruMSYrRdLEYY4wxnaDx4Gb79u0YM2YMZs6ciVu3bqFatWpo3bo1AgMDMz3e09MTvXv3xjfffIPbt2+jc+fO4nb//n3kBwnyBMy4PAMzPGcgXhqPus51sbPDTtQoXEPTRWOMMcZ0gsaDm+XLl2PIkCEYPHgwKlWqhDVr1sDMzAzr1q3L9PhffvkFbdq0wfjx41GxYkXMmTMHNWrUwG+//QZNexr2FGui1uDQy0NijaiR1UdiTcs1sDe113TRGGOMMZ2h0YTixMRE3Lx5E5MnT07ZJ5FI0KJFC1y+fDnT59B+aulJjVp69u7dm+nxCQkJ4qYUGRkp/k1KShI3VTr9+jSCZEFwMHHA/AbzUdOxJqTJUtD/mOooPzdVf36M61kT+PvMda1tktT0Nzon59NocBMcHAypVIrChQun2U/bjx8/zvQ5/v7+mR5P+zOzYMECzJo1K8P+48ePixYiVSoqL4omxk1Q16guAm4E4DDyVy6Qtjlx4oSmi6ATuJ65nrUNf6cLZj3HxsZm+1itHwpOrUKpW3qo5aZYsWJo1aoVrKysVB5VSk5I0LJlSxgaGqr03CxtPdN/NFzP6sX1nDe4nvMO13XBrmdlz0u+D27s7e2hr6+PgICANPtp28kp8+UIaH9Ojjc2Nha39KjC1RWAqPPcjOs5r/H3metZ2/B3umDWc07OpdGEYiMjI9SsWROnTp1K2SeTycR23bp1M30O7U99PKEIMavjGWOMMaZbNN4tRV1GAwcORK1ateDh4YEVK1YgJiZGjJ4iAwYMQJEiRUTuDBk1ahQaN26MZcuWoX379ti2bRtu3LiBtWvXavidMMYYYyw/0Hhw07NnTwQFBWHGjBkiKdjd3R1Hjx5NSRp+/fq1GEGlVK9ePWzduhXTpk3DlClTULZsWTFSqkqVKhp8F4wxxhjLLzQe3JARI0aIW2bOnj2bYV/37t3FjTHGGGMs303ixxhjjDGmShzcMMYYY0yrcHDDGGOMMa3CwQ1jjDHGtAoHN4wxxhjTKhzcMMYYY0yrcHDDGGOMMa3CwQ1jjDHGtAoHN4wxxhjTKvlihuK8JJfLc7x0ek6WeY+NjRXn5lXB1YfrOW9wPXM9axv+ThfselZet5XX8Y/RueAmKipK/FusWDFNF4UxxhhjubiOW1tbf/QYPXl2QiAtIpPJ8O7dO1haWkJPT0+l56aokoKmN2/ewMrKSqXnZlzPeY2/z1zP2oa/0wW7nilcocDGxcUlzYLamdG5lhuqkKJFi6r1NejD5OBG/bie8wbXM9eztuHvdMGt50+12ChxQjFjjDHGtAoHN4wxxhjTKhzcqJCxsTFmzpwp/mXqw/WcN7ieuZ61DX+ndaeedS6hmDHGGGPajVtuGGOMMaZVOLhhjDHGmFbh4IYxxhhjWoWDG8YYY4xpFQ5ucmjVqlUoWbIkTExMUKdOHVy7du2jx+/cuRMVKlQQx1etWhWHDx/+nM9LZ+Sknv/88080bNgQtra24taiRYtPfi4s5/Wc2rZt28QM3507d+aqVPH3mYSHh+OHH36As7OzGHFSrlw5/tuhhnpesWIFypcvD1NTUzGj7ujRoxEfH8/f6Y84f/48OnToIGYJpr8Be/fuxaecPXsWNWrUEN9lV1dXbNiwAWpHo6VY9mzbtk1uZGQkX7dunfzBgwfyIUOGyG1sbOQBAQGZHn/p0iW5vr6+fPHixfKHDx/Kp02bJjc0NJR7eXlxlauwnvv06SNftWqV/Pbt2/JHjx7JBw0aJLe2tpa/ffuW61mF9az04sULeZEiReQNGzaUd+rUietYxfWckJAgr1Wrlrxdu3byixcvivo+e/as/M6dO1zXKqznLVu2yI2NjcW/VMfHjh2TOzs7y0ePHs31/BGHDx+WT506Vb57924aaS3fs2fPxw6X+/j4yM3MzORjxowR18GVK1eK6+LRo0fl6sTBTQ54eHjIf/jhh5RtqVQqd3FxkS9YsCDT43v06CFv3759mn116tSRf/fdd7n9vHRCTus5veTkZLmlpaV848aNaiylbtYz1W29evXkf/31l3zgwIEc3KihnlevXi0vXbq0PDExMWcfqI7LaT3Tsc2aNUuzjy7A9evXV3tZtQWyEdxMmDBBXrly5TT7evbsKW/durVay8bdUtmUmJiImzdvii6P1OtU0fbly5czfQ7tT308ad26dZbHs9zVc3qxsbFISkqCnZ0dV6kKv89k9uzZcHR0xDfffMN1q6Z63r9/P+rWrSu6pQoXLowqVapg/vz5kEqlXOcqrOd69eqJ5yi7rnx8fETXX7t27bieVUhT10GdWzgzt4KDg8UfF/pjkxptP378ONPn+Pv7Z3o87Weqq+f0Jk6cKPqD0/8HxT6vni9evIi///4bd+7c4apUYz3TRfb06dPo27evuNg+f/4cw4cPFwE7zfrKVFPPffr0Ec9r0KCBWG06OTkZw4YNw5QpU7iKVSir6yCtHB4XFyfyndSBW26YVlm4cKFIdt2zZ49IKmSqERUVhf79+4vkbXt7e65WNZLJZKJ1bO3atahZsyZ69uyJqVOnYs2aNVzvKkRJrtQi9vvvv+PWrVvYvXs3Dh06hDlz5nA9awFuuckm+oOur6+PgICANPtp28nJKdPn0P6cHM9yV89KS5cuFcHNyZMn4ebmxtWpwu+zt7c3Xr58KUZJpL4IEwMDAzx58gRlypThOv/MeiY0QsrQ0FA8T6lixYriFzB1vxgZGXE9q6Cep0+fLgL2b7/9VmzTaNaYmBgMHTpUBJPUrcU+X1bXQSsrK7W12hD+9LKJ/qDQr6hTp06l+eNO29Q/nhnan/p4cuLEiSyPZ7mrZ7J48WLxi+vo0aOoVasWV6WKv880nYGXl5foklLeOnbsiKZNm4r7NIyWfX49k/r164uuKGXwSJ4+fSqCHg5sVPN9VubmpQ9glAElL7moOhq7Dqo1XVkLhxrS0MENGzaIIW1Dhw4VQw39/f3F4/3795dPmjQpzVBwAwMD+dKlS8UQ5ZkzZ/JQcDXU88KFC8UQ0F27dsn9/PxSblFRUar/EuhwPafHo6XUU8+vX78Wo/1GjBghf/LkifzgwYNyR0dH+dy5cz/zE9duOa1n+ntM9fzvv/+K4crHjx+XlylTRoxyZVmjv6s07QbdKIRYvny5uP/q1SvxONUx1XX6oeDjx48X10GatoOHgudDNEa/ePHi4mJKQw+vXLmS8ljjxo3FH/zUduzYIS9Xrpw4nobDHTp0SAOl1u56LlGihPiPLP2N/ngx1dVzehzcqOf7TDw9PcW0EXSxpmHh8+bNE8PwmerqOSkpSf7TTz+JgMbExERerFgx+fDhw+VhYWFczR9x5syZTP/eKuuW/qW6Tv8cd3d38bnQ93n9+vVyddOj/1Nv2xBjjDHGWN7hnBvGGGOMaRUObhhjjDGmVTi4YYwxxphW4eCGMcYYY1qFgxvGGGOMaRUObhhjjDGmVTi4YYwxxphW4eCGMcYYY1qFgxvGcmHQoEHQ09PL8hYeHs71yhhjGsLBDWO51KZNG/j5+aW5/ffff1yfjDGmYRzcMJZLxsbGcHJySnOzs7NLc8yGDRtgY2ODvXv3omzZsjAxMUHr1q3x5s2bNMft27cPNWrUEI+XLl0as2bNQnJycppjfvrppwwtRJ07d05zzKVLl9CkSROYmZnB1tZWvFZYWJh4jPb/73//Szn2r7/+EmW7deuW2JZKpfjmm29QqlQpmJqaonz58vjll1/SnH/SpElwcXERqzAXKVIEEydOTFm9OjvPpxav9GVW1lHq9+nu7p7mmLNnz6ZpEQsJCUHv3r1FGei9Vq1aFf/++2+a50RHR4vXK1y4cJo6o1XMs5L6OCsrK7Rs2RLe3t4pjyckJGDcuHHidc3NzVGnTh1Rtpx+3qtXr0aZMmVEPVI9/fPPP2kef/z4sXhta2vrlPIo6yiz74HyRp9xdus5O+Wg+v7uu+9EHdJ7qVKlCg4ePJjyeWR1y+r1GMsrHNwwpmaxsbGYN28eNm3aJIIPumD06tUr5fELFy5gwIABGDVqFB4+fIg//vhDXBjoOelVrlw5pZWoR48eaR6ji3bz5s1RqVIlXL58GRcvXkSHDh1E0JHejh07MHr0aOzfv18EVYSClKJFi2Lnzp2iHDNmzMCUKVPEsUqtWrUSF7fnz5+L4Gjt2rXYvHlztp+vKvHx8ahZsyYOHTqE+/fvY+jQoejfvz+uXbuWcsz8+fNx/Phx8fpUX6kf+5j169eL48+fP4/AwEDxHpRGjBgh6nbbtm24d+8eunfvLlrwnj17lu3Pe8+ePeKzHjt2rCg7BQ+DBw/GmTNnUo75+uuvkZSUJJ5PZVmxYkXKYxRcKb8DdI66deumbO/evTvbdfipctDn2bZtW1EG+ozpM124cCH09fVRr169DK2VqVswGdM4tS/NyZgWympFbOWKucqVhWn1W9pOvTrxo0ePxL6rV6+K7ebNm8vnz5+f5jz//POP3NnZOc2+SZMmyWvVqpVlGXr37i2vX79+lmWmlXpHjRolP3z4sNzMzCxbK9T/8MMP8q5du2b6mI+PjyjjunXrsv38zOqN6sja2jplm1Zzr1at2kfrNTPt27eXjx07NmW7bdu28iFDhqRsv3jxQpzj9u3bWZ6DHt+zZ4+4Hx4eLupTeY5Xr17J9fX15b6+vmmeQ5/f5MmTs/1516tXL025SPfu3eXt2rVL2TY1NZVv2bIlyzpKXVfpV2DObj1/qhzHjh2TSyQS+ZMnT+Qfo/xs0suqzIzlBW65YUzNDAwMULt27ZTtChUqiOb6R48eie27d+9i9uzZsLCwSLkNGTJE/AKmVgAl6oqhrpKsKFtuPoZaL7p27ZrSpZLeqlWrRIuIg4ODKAe1zLx+/TrNMdQiQl1B1H1G56JWp5w8n1p+Ur/XYcOGZSiHl5dXmmOoBSE1ao2aM2eO6I6irkA65tixY2lei7rHqPvE19cXOUHdXXQ+6taLiorCggULUspEr1uuXLk0ZTt37lyarqtPfd70b/369dO8Jm0rH1eWnVpWUn/+OfWpev5UOej7RC1x9H5zKyIiQrw2fW+pm45anahFijF1M1D7KzDGPopyQyjHpkuXLhkeozwHJR8fH3HRywrluXwKdalQnsWuXbtEF0vqPBXqaqGLz7Jly0RXh6WlJZYsWYKrV6+mOQddJKmsN2/eFDk8dL9p06bZfj4dS2VQoq4UCphSo/wP6jJTonP069cvZZvOS/k81F1DAQ4Fa1SWxMTElGOoW+zp06fiAk2PKxpmPu3nn39GixYtRHfS1KlTRf7KgQMHxOdEXTL0vunf1OgCrkp///03Bg4cKOqQPlfKv0r9XciO7NTzx2Tn+/QpVH7K6aK6p24tek+Um0bfE8bUiYMbxv7fzr2DNBJFYRyfCEELFSEhWKlIEAQRbYKFj0awUJSAnSBaRrC0EMRKWwuLFJb2diKiEaxstLKzs7BQxNZX4V3+B2Z2ZE2caLLI+P0g62oyD+8E7vHcb1JnTEwXFxdeLpez76+urmzi7O3tte/JvPCzbDZbMWNC14VcSTn9/f3eycmJFUrlsD3FCZ0QwqF0B/L5vD1HtoIsxdLSUvD6cEfCR6eEBx0JiiQyF0ykUben0Aj/rplM5p/XEHANv+bm5ubd8xxrZmYmKHjIh1DIkDfyEYIlU8LkenBwYGPoB24rYfL1j728vOxNT09bt2FwcNA6N+RwRkZGvny9+cr5M9GHf5/wuQ8NDdlxyf2Qd+E6VVOYRBnnz86D9xPjzrh+tXvT0NAQnAOdG0LSlQLdIrWi4kakzpLJpE2S29vbtmRBx4TJy5/86DBMTU15HR0d3uzsrE0ILFUR8tzY2LCOActWGB4e9m5vb+3/T09PdvcOrX/uqlldXbUuBsUFBQwFAuFQQq/pdNq28e/m6uzstO5HoVDwRkdHvVQqZZMPIViWd+gQcefM+fn5u25RsVj0xsbGbOIksHx8fBzcERVl+1rhWBRWZ2dntny0tbXl3d3dvSsQ6HQxcXNOLMFdX19H2jeFCGPMuNJBYfmNa8gEPzc3Z8twdKcodu7v762gpBCYnJyMdL1XVlYsDM72dIjoCtFVKZVKwTlQMBIqp0vE++KjAvC7PjsPrjPvDZYeGV+KFO7i4m4oQtRRUVT6nRveMxScInX3X5I9Ir84UEyocm9vz3V3d7vGxkY3Pj5u4dSww8NDC3gSJG1tbXW5XM7t7OwEoVH2We7BufhOT09tPxynra3NTUxMBOfiB4p9b29vFoYliIzn52e3sLBg58u2hULBQszhcC9h03Q6bfvPZrNuc3PT9hN1+1oFih8eHmw/zc3NLpPJuLW1NTc/Px/s+/Hx0Q0MDNjPqw0U+4+WlhYbs/DrX19f3fr6uuvq6nLJZNIC1fl83l1eXlZ1vYvFoj3PPnp6etzu7m7wHAFexu/o6KjsGNUiUPzZefjjvLi46FKplGtqanJ9fX1uf38/cqDYH8tEIuHa29vtPfHy8vLByIvUVoJ/6l9CifxO/PVNFuQ7n1jM55qEv4bxeSo8OI7E43qLyPdpWUrkh6sUViVkypKUiIj8peJG5IerdGcJ2Ydq8g8iIr+BlqVEREQkVvQhfiIiIhIrKm5EREQkVlTciIiISKyouBEREZFYUXEjIiIisaLiRkRERGJFxY2IiIjEioobERERiRUVNyIiIuLFyR/QKFAJEQ4wuwAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "prob_true, prob_pred = calibration_curve(y_test, probs, n_bins=10)\n", "prob_true_cal, prob_pred_cal = calibration_curve(y_test, calibrated_probs, n_bins=10)\n", "\n", "plt.plot(prob_pred, prob_true, marker='o', label='Без калибровки')\n", "plt.plot(prob_pred_cal, prob_true_cal, marker='o', label='С калибровкой')\n", "\n", "plt.plot([0, 1], [0, 1], linestyle='--') # идеальная линия\n", "\n", "plt.xlabel('Предсказанная вероятность')\n", "plt.ylabel('Истинная вероятность')\n", "plt.title('Калибровочная кривая')\n", "\n", "plt.legend()\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "4cf9051c-64ef-46cd-a1dd-92c607f7c0d9", "metadata": {}, "source": [ "## Интерпретация результатов\n", "\n", "- Без калибровки модель может переоценивать или недооценивать вероятности\n", "- После калибровки предсказания становятся ближе к реальным вероятностям\n", "- Калибровка улучшает интерпретируемость модели" ] }, { "cell_type": "markdown", "id": "5b172d77-26f4-4bf6-9d19-00debebeb04c", "metadata": {}, "source": [ "## Работа с внешним датасетом (OpenML)" ] }, { "cell_type": "code", "execution_count": 6, "id": "d70a30ae-b1d6-4701-96f5-c282394185fe", "metadata": {}, "outputs": [], "source": [ "import openml\n", "from sklearn.preprocessing import LabelEncoder, StandardScaler\n", "\n", "dataset = openml.datasets.get_dataset(31)\n", "X, y, _, _ = dataset.get_data(target=dataset.default_target_attribute)\n", "\n", "# фикс признаков\n", "X = pd.get_dummies(X)\n", "\n", "# масштабирование\n", "scaler = StandardScaler()\n", "X = scaler.fit_transform(X)\n", "\n", "# target\n", "encoder = LabelEncoder()\n", "y = encoder.fit_transform(y)\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(\n", " X, y, test_size=0.2, random_state=42\n", ")" ] }, { "cell_type": "code", "execution_count": 7, "id": "06c23535-c4c0-474d-9576-931a4e7a31d0", "metadata": {}, "outputs": [], "source": [ "model = LogisticRegression(max_iter=1000)\n", "model.fit(X_train, y_train)\n", "\n", "probs = model.predict_proba(X_test)[:, 1]\n" ] }, { "cell_type": "code", "execution_count": 8, "id": "6aeec29b-eea3-44e6-bf3e-83cc0f0b6fa0", "metadata": {}, "outputs": [], "source": [ "calibrated_model = CalibratedClassifierCV(model, method='sigmoid')\n", "calibrated_model.fit(X_train, y_train)\n", "\n", "calibrated_probs = calibrated_model.predict_proba(X_test)[:, 1]" ] }, { "cell_type": "code", "execution_count": 9, "id": "316f63c6-eacf-4fd6-b58b-fda22c34a043", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "prob_true, prob_pred = calibration_curve(y_test, probs, n_bins=5)\n", "prob_true_cal, prob_pred_cal = calibration_curve(y_test, calibrated_probs, n_bins=5)\n", "\n", "plt.plot(prob_pred, prob_true, marker='o', label='Без калибровки')\n", "plt.plot(prob_pred_cal, prob_true_cal, marker='o', label='С калибровкой')\n", "\n", "plt.plot([0, 1], [0, 1], linestyle='--')\n", "\n", "plt.xlabel('Предсказанная вероятность')\n", "plt.ylabel('Истинная вероятность')\n", "plt.title('Calibration curve (OpenML dataset)')\n", "\n", "plt.legend()\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "id": "8c4bfec2-4605-403b-8376-057254f6a5f7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "=== Без калибровки ===\n", "Accuracy: 0.8\n", "Brier score: 0.1483538249948968\n", " precision recall f1-score support\n", "\n", " 0 0.69 0.59 0.64 59\n", " 1 0.84 0.89 0.86 141\n", "\n", " accuracy 0.80 200\n", " macro avg 0.76 0.74 0.75 200\n", "weighted avg 0.79 0.80 0.80 200\n", "\n", "=== С калибровкой ===\n", "Accuracy: 0.795\n", "Brier score: 0.1522080436318387\n", " precision recall f1-score support\n", "\n", " 0 0.74 0.47 0.58 59\n", " 1 0.81 0.93 0.86 141\n", "\n", " accuracy 0.80 200\n", " macro avg 0.77 0.70 0.72 200\n", "weighted avg 0.79 0.80 0.78 200\n", "\n" ] } ], "source": [ "from sklearn.metrics import accuracy_score, brier_score_loss, classification_report\n", "\n", "preds = model.predict(X_test)\n", "calibrated_preds = calibrated_model.predict(X_test)\n", "\n", "print(\"=== Без калибровки ===\")\n", "print(\"Accuracy:\", accuracy_score(y_test, preds))\n", "print(\"Brier score:\", brier_score_loss(y_test, probs))\n", "print(classification_report(y_test, preds))\n", "\n", "print(\"=== С калибровкой ===\")\n", "print(\"Accuracy:\", accuracy_score(y_test, calibrated_preds))\n", "print(\"Brier score:\", brier_score_loss(y_test, calibrated_probs))\n", "print(classification_report(y_test, calibrated_preds))" ] }, { "cell_type": "markdown", "id": "dc1befd8-c645-465b-9074-45733ce2cd78", "metadata": {}, "source": [ "## Вывод по внешнему датасету\n", "\n", "- После обработки категориальных признаков через `pd.get_dummies()` модель получила больше информации о данных.\n", "- График калибровки показывает, насколько вероятностные предсказания близки к идеальной диагонали.\n", "- Калибровка не всегда сильно меняет accuracy, потому что она в первую очередь улучшает качество вероятностей, а не сами классы.\n", "- Для оценки вероятностей используется Brier score: чем он меньше, тем лучше." ] }, { "cell_type": "code", "execution_count": null, "id": "0d9578d5-78cc-4951-ad7d-207b04cdaec2", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "6de4c5b1-63d4-4094-bd96-adb6f03b6a94", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.14.4" } }, "nbformat": 4, "nbformat_minor": 5 }