2024-12-21 15:33:58 +04:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Пропуски не обнаружены.\n",
"Результаты для задачи регрессии:\n",
"Model: Linear Regression\n",
"Best Parameters: {}\n",
"MAE: 4165.371459891892\n",
"MSE: 39957124.62099743\n",
"RMSE: 6321.164815205931\n",
"R²: 0.7396607021732446\n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"c:\\Users\\Админ\\AppData\\Local\\Programs\\Python\\Python311\\Lib\\site-packages\\sklearn\\metrics\\_regression.py:492: FutureWarning: 'squared' is deprecated in version 1.4 and will be removed in 1.6. To calculate the root mean squared error, use the function'root_mean_squared_error'.\n",
" warnings.warn(\n",
"c:\\Users\\Админ\\AppData\\Local\\Programs\\Python\\Python311\\Lib\\site-packages\\sklearn\\metrics\\_regression.py:492: FutureWarning: 'squared' is deprecated in version 1.4 and will be removed in 1.6. To calculate the root mean squared error, use the function'root_mean_squared_error'.\n",
" warnings.warn(\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model: Random Forest Regression\n",
"Best Parameters: {'model__max_depth': None, 'model__n_estimators': 100}\n",
"MAE: 1302.9076843493865\n",
"MSE: 7348419.262303609\n",
"RMSE: 2710.796794727264\n",
"R²: 0.9521216221379603\n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"c:\\Users\\Админ\\AppData\\Local\\Programs\\Python\\Python311\\Lib\\site-packages\\sklearn\\metrics\\_regression.py:492: FutureWarning: 'squared' is deprecated in version 1.4 and will be removed in 1.6. To calculate the root mean squared error, use the function'root_mean_squared_error'.\n",
" warnings.warn(\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model: Gradient Boosting Regression\n",
"Best Parameters: {'model__learning_rate': 0.1, 'model__max_depth': 5, 'model__n_estimators': 200}\n",
"MAE: 1557.7396658099947\n",
"MSE: 9302598.170553016\n",
"RMSE: 3050.016093490822\n",
"R²: 0.9393892353702158\n",
"\n",
"Результаты для задачи классификации:\n",
"Model: Logistic Regression\n",
"Best Parameters: {'model__C': 10, 'model__solver': 'liblinear'}\n",
"Accuracy: 0.8864864864864865\n",
"Precision: 1.0\n",
"Recall: 0.6204819277108434\n",
"F1-score: 0.7657992565055762\n",
"AUC: 0.8852866478768545\n",
"MAE: 0.17141106227002562\n",
"MSE: 0.0889310663866395\n",
"RMSE: 0.29821312242528747\n",
"R²: 0.5757891454185178\n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"c:\\Users\\Админ\\AppData\\Local\\Programs\\Python\\Python311\\Lib\\site-packages\\sklearn\\metrics\\_regression.py:492: FutureWarning: 'squared' is deprecated in version 1.4 and will be removed in 1.6. To calculate the root mean squared error, use the function'root_mean_squared_error'.\n",
" warnings.warn(\n"
]
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model: Random Forest Classification\n",
"Best Parameters: {'model__max_depth': 20, 'model__n_estimators': 200}\n",
"Accuracy: 0.9765765765765766\n",
"Precision: 0.9872611464968153\n",
"Recall: 0.9337349397590361\n",
"F1-score: 0.9597523219814241\n",
"AUC: 0.9887183696224487\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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GGnXSfnGmJUQZeTdZsrKyeu8+76OLY2TF1dU1XZmtrS2aNm2KLVu2qMs2b96MQoUKoVOnTuqyf/75B8HBwerEIu3h5eUFAHj69KnW8fz7778wMDDAJ598olFerFgx2NjYqBOLrOLPyttf8KtXr4a7uzuePn2q8WUASE3706ZNg7OzM4yNjWFraws7OztER0cjJiYm3XHf/aJJ+6X+8uVL9esCgDJlymjUs7Oz0/gCSKub0S2+tNsQ774H75477faVs7NzunKVSpVh/O8yNDSEl5eXxsPDw0Pj/O/GqFQqUbp06XTxFS9ePN2owH/++QfXr19P99kpW7YsgP8+Oz4+Pqhfvz4GDBgABwcHdOvWDVu2bPngpEgXP08qlQoLFixAmTJlND4bV65c0Xhvv/76a1hYWKB27dooU6YMhg0bpr6ll+b777/HtWvX4OzsjNq1a2P69Ok6+/JPO06lSpWyrKftZz07/v33X5QpU0YjUQay/xl+9+eHcg77CBEAoHbt2qhZsyYAoEOHDvjss8/Qo0cPhIaGwsLCAsB/P8BXrlxBhw4dMjzOlStXAAAVKlQAAJQvXx4AcPXq1Uz3eZ+3j5H2V1JWFAoFhBDpylNTUzOs/24CkKZbt27o168fQkJCUK1aNWzZsgVNmzaFra2tuo5KpUKzZs0wfvz4DI+R9qX2Id7+izUrmcWfmbQv+DTe3t4oX748Bg8erO6PBUh9flavXo3Ro0ejbt26sLa2hkKhQLdu3TL8Es6sD1hG10LXMju3nDG9LaNrpFKpULlyZcyfPz/DfdKSOFNTU/z99984fPgw9uzZg+DgYGzevBlNmjTBvn37tO57Z2VlBScnJ1y7dk37F/J/AQEBmDp1Kvr3749Zs2ahSJEiMDAwwOjRozU+G+7u7ggNDcXu3bsRHByM3377DcuWLcO0adMwY8YMAEDXrl3RoEED/PHHH9i3bx/mzJmD7777Dr///jtatmz5wTFqQ9vPek7IK59VfcQWIUrH0NAQgYGBePz4MZYsWaIu/+yzz2BjY4ONGzdmmlSsXbsWANCmTRv1PoULF8avv/6a6T7v07ZtWwDA+vXrs1W/cOHCiI6OTlf+7l9g79OhQwcolUps3rwZISEhCAsLQ7du3TTquLm54dWrV+laDtIe7/6Vlx2lSpWCSqXCP//8o1EeGRmJ6OholCpVSutjZsXR0RFjxozBrl27cPr0aXX5tm3b4Ovri3nz5qFz585o1qwZPvvsswzf2+xIi/vd1/Xs2bN0f/WWKlUKoaGh6Y5x69YtjWPJJe3878aYlJSE8PDwbMXn5uaGFy9eoGnTphl+dt5ubTIwMEDTpk0xf/583LhxA7Nnz8ahQ4fUt8+ymzSnadOmDe7cuYNTp05ptV+abdu2oXHjxvjll1/QrVs3NG/eHF5eXhl+NszNzeHj44PVq1fj/v37aN26NWbPnq0xgaejoyOGDh2K7du3Izw8HEWLFlV3ZP4YpUuXBoD3Jn3Z/axr8z6XKlUK//zzT7pEKq98huk/TIQoQ40aNULt2rWxcOFC9S8sMzMzjBs3DqGhoZg8eXK6ffbs2YOgoCB4e3vj008/Ve/z9ddf4+bNm/j6668z/Otm/fr1OHv2bKax1K1bFy1atMDPP/+sHknztqSkJIwbN0697ebmhlu3bmmMILl8+XK6Jvn3sbGxgbe3N7Zs2YJNmzZBqVSma9Xq2rUrTp06hb1796bbPzo6Olt9Ud7VqlUrAEg34iyt5aB169ZaH/N9RowYATMzM3z77bfqMkNDw3TXa/HixR+c0Hp5ecHIyAiLFy/WOG5GI+tatWqFs2fPanxRv379GitWrICLi4u6xVEuXl5eUCqV+OGHHzReyy+//IKYmJhsXaOuXbvi0aNHWLlyZbrn3rx5o56l/cWLF+meT5s0MTExEYCUbADIdpI6fvx4mJubY8CAAYiMjEz3/J07d7Bo0aJM98/os7F169Z0s9E/f/5cY1upVKJChQoQQiA5ORmpqanpbj3Z29vDyclJ/do+hp2dHRo2bIhVq1bh/v37Gs+9HX92P+vavM+tWrVCRESERj/DlJQULF68GBYWFvD09NT25VAO4a0xytRXX32FLl26ICgoCF9++SUAYMKECbh06RK+++47nDp1Cp9//jlMTU1x/PhxrF+/Hu7u7lizZk2641y/fh3z5s3D4cOH0blzZxQrVgwRERHYvn07zp49i5MnT2YZy9q1a9G8eXN06tQJbdu2RdOmTWFubo5//vkHmzZtwpMnTzB37lwAQP/+/TF//nx4e3vjiy++wNOnT7F8+XJUrFhR3VE0u3x8fNCrVy8sW7YM3t7e6o6rb7+2nTt3ok2bNujbty88PDzw+vVrXL16Fdu2bcO9e/c0bqVlR9WqVeHr64sVK1YgOjoanp6eOHv2LNasWYMOHTqgcePGWh0vO4oWLYp+/fph2bJluHnzJtzd3dGmTRusW7cO1tbWqFChAk6dOoUDBw6gaNGiH3QOOzs7jBs3DoGBgWjTpg1atWqFS5cu4a+//kr3Hk2YMAG//vorWrZsiZEjR6JIkSJYs2YNwsPD8dtvv6Xrd5Hb7OzsMHHiRMyYMQMtWrRAu3btEBoaimXLlqFWrVro1avXe4/Ru3dvbNmyBV9++SUOHz6M+vXrIzU1Fbdu3cKWLVuwd+9e1KxZEzNnzsTff/+N1q1bo1SpUnj69CmWLVuGEiVKqDuTu7m5wcbGBsuXL4elpSXMzc1Rp06dTPuPubm5YePGjfDx8YG7u7vGzNInT55UD/POTJs2bTBz5kz069cP9erVw9WrV7FhwwZ1C0ya5s2bo1ixYqhfvz4cHBxw8+ZNLFmyBK1bt4alpSWio6NRokQJdO7cGVWrVoWFhQUOHDiAc+fOqTumf6wffvgBn332GWrUqIFBgwbB1dUV9+7dw549e9RLkmT3s16tWjUYGhriu+++Q0xMDIyNjdGkSRPY29unO++gQYPw008/oW/fvrhw4QJcXFywbds2nDhxAgsXLsyxwR/0AWQZq0Z5RmYTKgohRGpqqnBzcxNubm4akyGmpqaK1atXi/r16wsrKythYmIiKlasKGbMmCFevXqV6bm2bdsmmjdvLooUKSIKFSokHB0dhY+Pjzhy5Ei2Yo2Pjxdz584VtWrVEhYWFkKpVIoyZcqIESNGiNu3b2vUXb9+vXpismrVqom9e/dmOaFiZmJjY4WpqWm6YbBvi4uLExMnThSffPKJUCqVwtbWVtSrV0/MnTtXY0h3RjKbuC85OVnMmDFDuLq6CiMjI+Hs7JzlhIrZldVEgXfu3BGGhobqYdIvX74U/fr1E7a2tsLCwkJ4e3uLW7dupRtKndlnKG1o+9tDjVNTU8WMGTOEo6NjtidUtLGxESYmJqJ27dqZTqi4detWjfLMYvL393/vUPT3vU9vW7JkiShfvrwwMjISDg4OYsiQIZlOqJiRpKQk8d1334mKFSsKY2NjUbhwYeHh4SFmzJghYmJihBBCHDx4ULRv3144OTkJpVIpnJycRPfu3dNN2bBjxw5RoUIFUahQoWwPpQ8LCxMDBw4ULi4uQqlUCktLS1G/fn2xePFijc9aRsPnx44dq76O9evXF6dOnUo3hPynn34SDRs2FEWLFhXGxsbCzc1NfPXVV+rXlpiYKL766itRtWpVYWlpKczNzUXVqlXFsmXLNOL8mOHzQghx7do10bFjR/VnqVy5cmLq1Knq57P7WRdCiJUrV4rSpUsLQ0PDbE2omHZcpVIpKleunC62rH4PARD+/v7pykm3FEKwJxYRERHpJ/YRIiIiIr3FRIiIiIj0FhMhIiIi0ltMhIiIiEhvMREiIiIivcVEiIiIiPSW3k2oqFKp8PjxY1haWmo9LT0RERHJQwiBuLg4ODk56XRSVb1LhB4/fpxuRWoiIiLKHx48eIASJUro7Hh6lwilTWv+4MEDWFlZyRwNERERZUdsbCycnZ11vjyJ3iVCabfDrKysmAgRERHlM7ru1sLO0kRERKS3mAgRERGR3mIiRERERHqLiRARERHpLSZCREREpLeYCBEREZHeYiJEREREeouJEBEREektJkJERESkt5gIERERkd6SNRH6+++/0bZtWzg5OUGhUGD79u3v3efIkSOoUaMGjI2N8cknnyAoKCjH4yQiIqKCSdZE6PXr16hatSqWLl2arfrh4eFo3bo1GjdujJCQEIwePRoDBgzA3r17czhSIiIiKohkXXS1ZcuWaNmyZbbrL1++HK6urpg3bx4AwN3dHcePH8eCBQvg7e2dU2ESERFRAZWvVp8/deoUvLy8NMq8vb0xevRoeQIiIspHEhOByEjp8fSptE2UX7yJTc6R4+arRCgiIgIODg4aZQ4ODoiNjcWbN29gamqabp/ExEQkvvXTHhsbm+NxEhHlljdv/ktuMnpERPz3/5gYuaMl+jAKqHAAzXPk2PkqEfoQgYGBmDFjhtxhEBFl26tXWSc3bz/i4rQ7dqFCgL094OAAmJnlTPxEumeAnc/GA2HddH7kfJUIFStWDJGRkRplkZGRsLKyyrA1CAAmTpwIPz8/9XZsbCycnZ1zNE4iorcJAcTGZj+5iY/X7vjGxlJi876HvT1QuDBgwIlTKD+4eFG6h9uiBQAgNrYlFlnr/jT5KhGqW7cu/vzzT42y/fv3o27dupnuY2xsDGNj45wOrUBLSJD+QiUiTSoV8Px59pIbbfvjmJllL7lxcACsrACFImdeI1GuU6mAuXOBKVMACwvgyhWgRIkcO52sidCrV69w+/Zt9XZ4eDhCQkJQpEgRlCxZEhMnTsSjR4+wdu1aAMCXX36JJUuWYPz48ejfvz8OHTqELVu2YM+ePXK9hALv2jWgXj3tm9+JKD0Li8yTmWLFNLctLOSOlkgGDx4Avr7A4cPSdqNGQCZ3fHRF1kTo/PnzaNy4sXo77RaWr68vgoKC8OTJE9y/f1/9vKurK/bs2YMxY8Zg0aJFKFGiBH7++WcOnc8hQgBDhzIJIsqKtXX2W27YJ4coC1u3AoMHAy9fSj8sP/wA9O+f482dCiGEyNEz5DGxsbGwtrZGTEwMrKys5A4nT1u/HujdW/o83rgBlCwpd0REeQ9vSRF9JJUKGDAAWL1a2q5VC9iwAShTRqNaTn1/56s+QpR7YmKAceOk/0+dCpQqJW88RERUQBkYSLe/DAyAiRMBf3/AyCjXTs9EiDLk7y918CxXDnhr0B0REdHHS0mRhlIWKSJtz5kD9OoFZDH4KadwECWlc/kysHix9P/FiwGlUt54iIioAAkPBzw9gU6dgNRUqczMTJYkCGAiRO8QAhg2TLpl26UL0KyZ3BEREVGBIASwbh1QtSpw8iRw6RJw86bcUTERIk3r1gEnTgDm5sD8+XJHQ0REBUJ0NNCjB9CnjzQUuX596fZDpUpyR8Y+Qn/+CezYIXcUecfvv0v/TpuWo/NXERGRvjh6VBqC/OABYGgITJ8OTJggrfeSB+j98HknJ+DJE7mjylvKl5cSdfYNIiKij6JSAdWrS7NDu7lJw+Lr1PmgQ3H4fA5JW9Nn1CigaFF5Y8kLDA0BHx8mQUREpAMGBsDatcDSpVJ/izw4ZbretwjZ2Ehz5oSFpZu7iYiIiLQhBPDzz9IClWPG6PTQbBEiIiKivCsqChg4ENi+Xer/07w5ULGi3FG9l14nQlFRwJs30v8NDeWNhYiIKN/atw/o21fqdGtkBAQGAu7uckeVLXqdCE2cCCQlAVWqAC4uckdDRESUzyQkSF+mCxdK2+7uwMaNQLVqckalFb1NhO7fl25jAlIfLgPOqERERJR9qalAw4bAuXPS9rBhwPffS7NE5yN6mwg9fSr9W6oU8Nln8sZCRESU7xgaAj17AvfuAatWAW3ayB3RB9H7dhCFQu4IiIiI8omICODatf+2R4wAbtzIt0kQwESIiIiIsmPXLqByZaBjR2l4PCD1K7G1lTeuj8REiIiIiDIXHw8MHQq0aycNtzYzk/4tIJgIERERUcYuXgQ8PIAff5S2x44Fzp4tUEOtmQgRERGRJpVKGgH26afArVuAoyOwfz8wdy5gbCx3dDrFRIiIiIg0KRTA4cNAcrLUJ+jqVcDLS+6ocoTeDp8nIiKid6SkSMtjKBTA6tVAcDDg61ugh1izRYiIiEjfxcUB/foBgwb9V1asmLRsRgFOggAmQkRERPrt9GlpSYygIGDNGuD6dbkjylVMhIiIiPRRSgowc6a0vMLdu0DJksCRI/lixXhdYh8hIiIifRMeDvTqBZw8KW137w4sWwbY2MgalhyYCBEREemT1FTA2xv45x/AykpKgHr2lDsq2fDWGBERkT4xNAQWLpRuiV2+rNdJEMAWISIiooLv77+BmBigbVtpu1UroGXLAj8iLDvYIkRERFRQJSUBkyYBjRoBffoADx789xyTIABsESIiIiqYQkOl214XLkjbnTrpZWfo92GLEBERUUEiBLByJVCjhpQEFS4MbNsG/PILYGkpd3R5jt62CJ07J3cEREREOpaaCnTpAvzxh7TdpIk0SWKJEvLGlYfpbYvQhAnSv506yRsHERGRzhgaAs7OgJERMGeOtGI8k6AsKYQQQu4gclNsbCysra0BxGDyZCvMnAkY6G06SERE+V5CAhAbC9jbS9tv3khzBFWpIm9cOpb2/R0TEwMrKyudHVdvU4Bp04BvvmESRERE+dj160CdOtLtsNRUqczUtMAlQTlJb9OAMmXkjoCIiOgDCQEsXgx4eABXrgA3bwJ37sgdVb6kt4kQERFRvhQRIU2IOHIkkJgoTYx49SpQtqzckeVLTISIiIjyi127gMqVgeBgwMREahXaswdwcJA7snxLb4fPExER5SspKcDkyUBUlNQHaONGoGJFuaPK99giRERElB8UKgRs2AB89RVw9iyTIB1hixAREVFepFIB8+ZJ/379tVRWuTLw/ffyxlXAMBEiIiLKax4+BHx9gUOHpEkS27cHypeXO6oCibfGiIiI8pKtW6U+QIcOAWZmwPLlQLlyckdVYLFFiIiIKC+IiwNGjQJWr5a2a9aU+gRxWHyOYiJEREQkt5QUoF494No1QKEAJk0C/P2lNcMoR/HWGBERkdwKFQIGDQJKlgSOHpXWgGISlCuYCBEREckhPBwICflve/hwaYboBg1kC0kfMREiIiLKTUIA69cDVasCn38u9Q0CpFtiOlxVnbKHiRAREVFuiY4GevQAeveWEiBHx/8SIZIFEyEiIqLc8PffUivQpk3S3ECzZgFHjgBOTnJHptc4aoyIiCgnpaQA06YB334r3RZzc5OGxdepI3dkBLYIERER5SxDQ+DyZSkJ6t8fuHSJSVAewhYhIiIiXRMCSEoCjI2lTtCrVwPHjwOdOskdGb2DLUJERES69Py5NBps0KD/yuztmQTlUUyEiIiIdGX/fmmF+D/+AH79FQgLkzsieg8mQkRERB8rIQHw8wOaNweePAHc3YEzZ7hOWD7APkJEREQf4/p1aW6gK1ek7aFDgTlzpJXjKc9jIkRERPShUlKANm2Ae/cAOztg1Sppm/IN3hojIiL6UIUKAT/+CLRqJa0TxiQo32GLEBERkTZ275aGxqeNAmvRAvD2lobJU74je4vQ0qVL4eLiAhMTE9SpUwdnz57Nsv7ChQtRrlw5mJqawtnZGWPGjEFCQkIuRUtERHorPl7q/9O2rTQx4v37/z3HJCjfkrVFaPPmzfDz88Py5ctRp04dLFy4EN7e3ggNDYW9vX26+hs3bsSECROwatUq1KtXD2FhYejbty8UCgXmz58vwysgIiK9cPEi0LMncOuWtP3FF4CDg7wxkU7I2iI0f/58DBw4EP369UOFChWwfPlymJmZYdWqVRnWP3nyJOrXr48ePXrAxcUFzZs3R/fu3d/bikRERPRBVCppBNinn0pJkKMjsG8fMG+eNGs05XuyJUJJSUm4cOECvLy8/gvGwABeXl44depUhvvUq1cPFy5cUCc+d+/exZ9//olWrVplep7ExETExsZqPIiIiN4rOVmaF2j8eOn/HTtKQ+SbNZM7MtIh2RKhqKgopKamwuGdpkUHBwdERERkuE+PHj0wc+ZMfPbZZzAyMoKbmxsaNWqESZMmZXqewMBAWFtbqx/Ozs46fR1ERFRAGRlJs0SbmQErVwK//QbY2sodFemY7J2ltXHkyBEEBARg2bJluHjxIn7//Xfs2bMHs2bNynSfiRMnIiYmRv148OBBLkZMRET5Slwc8Pjxf9uBgdLK8QMGsEN0ASVbZ2lbW1sYGhoiMjJSozwyMhLFihXLcJ+pU6eid+/eGDBgAACgcuXKeP36NQYNGoTJkyfDwCB9XmdsbAxj3sclIqL3OX0a6NULKFYMOHJEmiPIxAT45BO5I6McJFuLkFKphIeHBw4ePKguU6lUOHjwIOrWrZvhPvHx8emSHUNDQwCAECLngiUiooIrJQWYORP47DPgzh3gwQPpQXpB1uHzfn5+8PX1Rc2aNVG7dm0sXLgQr1+/Rr9+/QAAffr0QfHixREYGAgAaNu2LebPn4/q1aujTp06uH37NqZOnYq2bduqEyIiIqJsCw+XWoFOnpS2u3cHli0DbGxkDYtyj6yJkI+PD549e4Zp06YhIiIC1apVQ3BwsLoD9f379zVagKZMmQKFQoEpU6bg0aNHsLOzQ9u2bTF79my5XgIREeVHQgAbNkgTJMbFAZaW0lIZPXvKHRnlMoXQs3tKsbGxsLa2xrp1MejVy0rucIiISA7JyUCtWlJH6Pr1gXXrAFdXuaOiLKR9f8fExMDKSnff31xrjIiI9I+REbBxI/D778CECVLHaNJLvPJERFTwJScD06cDpqbAlClSWYUK0oP0GhMhIiIq2MLCpL4/588DhoZSh2g3N7mjojwiX02oSERElG1CSDNCV68uJUGFCwObNzMJIg1sESIiooInKgoYOBDYvl3abtIEWLMGKFFC1rAo72EiREREBUtysrRa/J07UqfowEBgzBggg9UHiPipICKigsXICPDzA9zdgTNngLFjmQRRpvjJICKi/O/aNeDcuf+2hwwBLlyQ+gcRZYGJEBER5V9CAIsXAzVrAl27ArGxUrlCIQ2VJ3oP9hEiIqL8KSIC6NcPCA6Wtt3dgaQkeWOifIctQkRElP/s3g1UqSIlQSYmUqvQnj2Ara3ckVE+wxYhIiLKP5KTgVGjpAVSASkZ2rgRqFhR3rgo32KLEBER5R+FCgGPHkn/HzsWOHuWSRB9FLYIERFR3qZSAQkJgJmZ1An655+BK1eApk3ljowKALYIERFR3vXgAeDlBQwa9F+ZnR2TINIZtggREVHetHWrlABFR0utQeHhgKur3FFRAcMWISIiylvi4oC+faV5gaKjgVq1gJAQJkGUI5gIERFR3nH6NFCtmrRAqoEBMHkycOIEUKaM3JFRAcVbY0RElDckJUmtQA8eACVLAuvXAw0ayB0VFXBsESIiorxBqQR++QXo0QO4fJlJEOUKtggREZE8hJBafYyMgG7dpLJmzaQHUS5hIkRERLkvOlpaIX7TJsDSEqhXT7odRpTLmAgREVHuOnoU6N1b6gtkaAiMHw84OckdFekpJkJERJQ7kpKA6dOBb7+Vbou5uQEbNgB16sgdGekxJkJERJTzEhOlzs/nzknb/fsDixYBFhbyxkV6j6PGiIgo5xkbAw0bAoULA9u2SaPDmARRHsBEiIiIckZUlNQPKM3s2cDVq8Dnn8sXE9E7mAgREZHu7dsHVK4M+PgAKSlSmbExULy4vHERvYOJEBER6U5CAjBmDODtDURESMPkIyLkjoooUx+VCCUkJOgqDiIiyu+uXQNq1wYWLpS2hw4Fzp8HSpSQNSyirGidCKlUKsyaNQvFixeHhYUF7t69CwCYOnUqfvnlF50HSEREeZwQwOLFQM2aUh8gOztg1y5g6VLAzEzu6IiypHUi9M033yAoKAjff/89lEqlurxSpUr4+eefdRocERHlA8nJwOrV0hD5li2lZKhNG7mjIsoWrROhtWvXYsWKFejZsycMDQ3V5VWrVsWtW7d0GhwREeVhQkj/KpXAxo1Sq9CePYCDg7xxEWlB6wkVHz16hE8++SRduUqlQnJysk6CIiKiPCw+Hhg7FrC3B2bMkMrKl5ceRPmM1i1CFSpUwLFjx9KVb9u2DdWrV9dJUERElEddvAh4eADLlwMBAcC//8odEdFH0bpFaNq0afD19cWjR4+gUqnw+++/IzQ0FGvXrsXu3btzIkYiIpKbSgXMnQtMmSL1CXJ0BNasAUqVkjsyoo+idYtQ+/btsWvXLhw4cADm5uaYNm0abt68iV27dqFZs2Y5ESMREcnpwQPAywv4+mspCerYUeoQzd/5VAB80KKrDRo0wP79+3UdCxER5TWJiUC9esDDh9JQ+B9+kBZMVSjkjoxIJ7RuESpdujSeP3+erjw6OhqlS5fWSVBERJRHGBsDU6dKcwRdugR88QWTICpQtE6E7t27h9TU1HTliYmJePTokU6CIiIiGZ0+DZw69d/2wIHAyZNA2bLyxUSUQ7J9a2znzp3q/+/duxfW1tbq7dTUVBw8eBAuLi46DY6IiHJRSoo0EmzmTGlx1MuXARsbqQXIyEju6IhyRLYToQ4dOgAAFAoFfH19NZ4zMjKCi4sL5s2bp9PgiIgol4SHA716SS0/AFC/Pm+BkV7IdiKkUqkAAK6urjh37hxsbW1zLCgiIsolQgDr1wPDhgFxcYCVFbBsGdCzp9yREeUKrUeNhYeH50QcRESU2xITgb59gU2bpO369aWkiN0cSI980PD5169f4+jRo7h//z6SkpI0nhs5cqROAiMiohymVAIJCYChITB9OjBhAlDog74WiPItrT/xly5dQqtWrRAfH4/Xr1+jSJEiiIqKgpmZGezt7ZkIERHlZUlJUkuQpaXUB2jlSuDuXaB2bbkjI5KF1sPnx4wZg7Zt2+Lly5cwNTXF6dOn8e+//8LDwwNz587NiRiJiEgXwsKk218DB/63crytLZMg0mtaJ0IhISEYO3YsDAwMYGhoiMTERDg7O+P777/HpEmTciJGIiL6GEJILT/VqwPnzwP79kkzRROR9omQkZERDAyk3ezt7XH//n0AgLW1NR48eKDb6IiI6ONERQGdOgGDBgHx8UCTJsCVK4Czs9yREeUJWvcRql69Os6dO4cyZcrA09MT06ZNQ1RUFNatW4dKlSrlRIxERPQh9u8HfH2BJ0+kCREDAgA/P8BA67+BiQosrX8aAgIC4OjoCACYPXs2ChcujCFDhuDZs2f46aefdB4gERF9gIQEaXHUJ08Ad3fgzBlg3DgmQUTv0LpFqGbNmur/29vbIzg4WKcBERGRDpiYAGvWAL/9BsyZI60cT0Tp6OxPg4sXL6JNmza6OhwREWlDCGDxYmlCxDRNmgBLlzIJIsqCVonQ3r17MW7cOEyaNAl3794FANy6dQsdOnRArVq11MtwEBFRLoqIAFq1AkaOBIYM4YgwIi1k+9bYL7/8goEDB6JIkSJ4+fIlfv75Z8yfPx8jRoyAj48Prl27Bnd395yMlYiI3rVrl9QXKCpKuh0WGCitHE9E2ZLtFqFFixbhu+++Q1RUFLZs2YKoqCgsW7YMV69exfLly5kEERHlpvh4YOhQoF07KQmqUkWaI2j4cK4aT6SFbLcI3blzB126dAEAdOrUCYUKFcKcOXNQokSJHAuOiIgy8OYNUKsWcOOGtD12LDB7NmBsLG9cRPlQthOhN2/ewOz/He4UCgWMjY3Vw+iJiCgXmZoCbdoAL19KI8OaNZM7IqJ8S6vh8z///DMsLCwAACkpKQgKCoKtra1GHS66SkSUAx4+BJKTAVdXaXvWLGD8eKBoUXnjIsrnFEKkrbyXNRcXFyjec99ZoVCoR5Nl19KlSzFnzhxERESgatWqWLx4MWpnsQBgdHQ0Jk+ejN9//x0vXrxAqVKlsHDhQrRq1Spb54uNjYW1tTXWrYtBr15WWsVKRCSLrVuBwYOBsmWBY8ekWaKJ9Eza93dMTAysrHT3/Z3tFqF79+7p7KRpNm/eDD8/Pyxfvhx16tTBwoUL4e3tjdDQUNjb26ern5SUhGbNmsHe3h7btm1D8eLF8e+//8LGxkbnsRERyS4uDhg1Cli9WtpOTQVevAAcHOSNi6gA0XpmaV2aP38+Bg4ciH79+gEAli9fjj179mDVqlWYMGFCuvqrVq3CixcvcPLkSRj9/y8iFxeX3AyZiCh3nD4N9OoF3LkjjQKbNAnw92drEJGOybboTFJSEi5cuAAvL6//gjEwgJeXF06dOpXhPjt37kTdunUxbNgwODg4oFKlSggICEBqampuhU1ElLNSUqT+P599JiVBJUsCR44A33zDJIgoB8jWIhQVFYXU1FQ4vNPE6+DggFu3bmW4z927d3Ho0CH07NkTf/75J27fvo2hQ4ciOTkZ/v7+Ge6TmJiIxMRE9XZsbKzuXgQRka6pVMCOHdJtsO7dgWXLAN7+J8oxst4a05ZKpYK9vT1WrFgBQ0NDeHh44NGjR5gzZ06miVBgYCBmzJiRy5ESEWlBCOlhYAAolcCGDcC5c9KtMSLKUbLdGrO1tYWhoSEiIyM1yiMjI1GsWLEM93F0dETZsmVhaGioLnN3d0dERASSkpIy3GfixImIiYlRPx48eKC7F0FE9LGio4EePYBp0/4rK1eOSRBRLvmgROjOnTuYMmUKunfvjqdPnwIA/vrrL1y/fj3bx1AqlfDw8MDBgwfVZSqVCgcPHkTdunUz3Kd+/fq4ffu2xuKuYWFhcHR0hFKpzHAfY2NjWFlZaTyIiPKEv/8GqlYFNm0C5swBHj2SOyIivaN1InT06FFUrlwZZ86cwe+//45Xr14BAC5fvpzp7anM+Pn5YeXKlVizZg1u3ryJIUOG4PXr1+pRZH369MHEiRPV9YcMGYIXL15g1KhRCAsLw549exAQEIBhw4Zp+zKIiOSTlCSNAmvUCLh/H3Bzk5IiLpZKlOu07iM0YcIEfPPNN/Dz84OlpaW6vEmTJliyZIlWx/Lx8cGzZ88wbdo0REREoFq1aggODlZ3oL5//z4MDP7L1ZydnbF3716MGTMGVapUQfHixTFq1Ch8/fXX2r4MIiJ5hIUBPXtKC6QC0srxCxcCb/0+JaLck+2ZpdNYWFjg6tWrcHV1haWlJS5fvozSpUvj3r17KF++PBISEnIqVp3gzNJEJJs3bwAXF+DpU6BwYWDFCqBzZ7mjIsoXcmpmaa1vjdnY2ODJkyfpyi9duoTibNYlIsqcqSkQEAA0aQJcucIkiCgP0DoR6tatG77++mtERERAoVBApVLhxIkTGDduHPr06ZMTMRIR5V/79wPHj/+33b+/VFaihHwxEZGa1olQQEAAypcvD2dnZ7x69QoVKlRAw4YNUa9ePUyZMiUnYiQiyn8SEgA/P6B5c2l4/MuXUrlCIc0XRER5gtadpZVKJVauXImpU6fi2rVrePXqFapXr44yZcrkRHxERPnP9etS8nPlirTdti1gbCxvTESUIa0ToePHj+Ozzz5DyZIlUbJkyZyIiYgofxICWLIE+OorIDERsLMDVq0C2rSROzIiyoTW7bNNmjSBq6srJk2ahBs3buRETERE+U98PNCqFTBypJQEtWwJXL3KJIgoj9M6EXr8+DHGjh2Lo0ePolKlSqhWrRrmzJmDhw8f5kR8RET5g6kpYGEh3QJbvBjYswd4Z1FpIsp7tJ5H6G3h4eHYuHEjfv31V9y6dQsNGzbEoUOHdBmfznEeISLSmfh4IDkZsLaWtl+8AJ48ASpWlDcuogIoz8wj9DZXV1dMmDAB3377LSpXroyjR4/qKi4iorzt0iXAwwMYOFDqGwQARYowCSLKZz44ETpx4gSGDh0KR0dH9OjRA5UqVcKePXt0GRsRUd6jUkkLpNapA9y6Jc0RFBEhd1RE9IG0HjU2ceJEbNq0CY8fP0azZs2waNEitG/fHmZmZjkRHxFR3vHwIeDrC6R1AejYUVomw9ZW3riI6INpnQj9/fff+Oqrr9C1a1fY8oefiPTFtm3AoEHSxIhmZsCiRcAXX0gTJBJRvqV1InTixImciIOIKO+KjwfGjJGSoJo1gQ0bgLJl5Y6KiHQgW4nQzp070bJlSxgZGWHnzp1Z1m3Xrp1OAiMiyjPMzIC1a4EDB4Dp0wEjI7kjIiIdydbweQMDA0RERMDe3h4GWayRo1AokJqaqtMAdY3D54novVJSgMBAwNkZ6NtX7miICDk3fD5bLUIqlSrD/xMRFTjh4UDv3sCJE4C5OeDtDTg6yh0VEeUQrYfPr127FomJienKk5KSsHbtWp0ERUSU64QA1q8HqlaVkiArK+Cnn5gEERVwWidC/fr1Q0xMTLryuLg49OvXTydBERHlquhooGdPqSUoLg6oXx+4fFkqI6ICTetRY0IIKDIYLvrw4UNYp00zT0SUX8THAzVqSLfEDA2lztATJgCFtP71SET5ULZ/0qtXrw6FQgGFQoGmTZui0Fu/JFJTUxEeHo4WLVrkSJBERDnGzAzw8QG2bpWGxdepI3dERJSLsp0IdejQAQAQEhICb29vWFhYqJ9TKpVwcXHB559/rvMAiYh0LiwMMDAAPvlE2p4xA5g0CbC0lDcuIsp12U6E/P39AQAuLi7w8fGBiYlJjgVFRJQjhAB+/hkYPRqoUAE4eVKaE0iplB5EpHe0vgnu6+ubE3EQEeWsqChppfjt26VtKysgNhYoWlTWsIhIXtlKhIoUKYKwsDDY2tqicOHCGXaWTvPixQudBUdEpBP79kkTIz55IrUABQZKS2ZkMUEsEemHbCVCCxYsgOX/750vWLAgy0SIiCjPSEwEJk4EFiyQtt3dgY0bgWrVZA2LiPKObCVCb98O68vp5okovzAwAI4fl/4/bBjw/ffSKDEiov/Tul344sWLuHr1qnp7x44d6NChAyZNmoSkpCSdBkdEpDUhpLXCAOk22IYNwK5dwJIlTIKIKB2tE6HBgwcjLCwMAHD37l34+PjAzMwMW7duxfjx43UeIBFRtkVEAK1aAVOm/FdWpgzQpo18MRFRnqZ1IhQWFoZq/7+/vnXrVnh6emLjxo0ICgrCb7/9puv4iIiyZ9cuoHJlIDgYWLwYiIyUOyIiyge0ToSEEOoV6A8cOIBWrVoBAJydnREVFaXb6IiI3ic+HhgyBGjXThoiX6UKcPYs4OAgd2RElA9onQjVrFkT33zzDdatW4ejR4+idevWAIDw8HA48BcPEeWmixeldcKWL5e2x46VkqCKFeWNi4jyDa0nVFy4cCF69uyJ7du3Y/Lkyfjk/1PUb9u2DfXq1dN5gEREGXr1CmjWDHjxAnByAtasAby85I6KiPIZrROhKlWqaIwaSzNnzhwYGhrqJCgioveysADmzQN27gRWruQM0UT0QbROhNJcuHABN2/eBABUqFABNWrU0FlQREQZ2roVsLMDGjWStn19pQcneSWiD6R1IvT06VP4+Pjg6NGjsLGxAQBER0ejcePG2LRpE+zs7HQdIxHpu7g4YORIICgIKF4cuHIFKFKECRARfTStO0uPGDECr169wvXr1/HixQu8ePEC165dQ2xsLEaOHJkTMRKRPjt9WloSIyhISnz69gX+v+QPEdHH0rpFKDg4GAcOHIC7u7u6rEKFCli6dCmaN2+u0+CISI+lpAABAcDMmUBqKlCyJLB+PdCggdyREVEBonUipFKpYGRklK7cyMhIPb8QEdFHefUK8PYGTp6Utnv0AJYuBf5/O56ISFe0vjXWpEkTjBo1Co8fP1aXPXr0CGPGjEHTpk11GhwR6Slzc8DZGbCyklqBNmxgEkREOULrFqElS5agXbt2cHFxgbOzMwDgwYMHqFSpEtavX6/zAIlIT0RHAyrVf52gf/xRKnN1lTsyIirAtE6EnJ2dcfHiRRw8eFA9fN7d3R1enMiMiD7U0aNA795AzZrAb79JiVDhwtKDiCgHaZUIbd68GTt37kRSUhKaNm2KESNG5FRcRKQPkpKA6dOBb78FhACUSuDZM8DeXu7IiEhPZDsR+vHHHzFs2DCUKVMGpqam+P3333Hnzh3MmTMnJ+MjooIqNBTo2RO4cEHa7t8fWLiQQ+OJKFdlu7P0kiVL4O/vj9DQUISEhGDNmjVYtmxZTsZGRAWRENKSGDVqSElQ4cLAtm3AL78wCSKiXJftROju3bvw9fVVb/fo0QMpKSl48uRJjgRGRAXU69fAN98A8fFAkybSLNGffy53VESkp7J9aywxMRHm5ubqbQMDAyiVSrx58yZHAiOiAsrCQhoSf+YM4OcHGGg9iwcRkc5o1Vl66tSpMDMzU28nJSVh9uzZsLa2VpfNnz9fd9ERUf6XkABMmgS4uwMDB0plDRpwhmgiyhOynQg1bNgQoaGhGmX16tXD3bt31dsKLoBIRG+7dk2aFfrqVWmSxA4dpNXjiYjyiGwnQkeOHMnBMIioQBECWLIE+OorIDFRSn5WrWISRER5jtYTKhIRZSkiAujXDwgOlrZbtgRWrwYcHOSNi4goA0yEiEh34uKA6tWlZMjEBJgzBxg2TJopmogoD+JwDSLSHUtLYMAAoEoV4Px5YPhwJkFElKcxESKij3PpkjRLdJpp04CzZ4GKFeWLiYgom5gIEdGHUamkW1916kgjw5KSpHIjI8DYWN7YiIiy6YMSoWPHjqFXr16oW7cuHj16BABYt24djh8/rtPgiCiPevgQaNYMGD8eSE4GSpUCOLkqEeVDWidCv/32G7y9vWFqaopLly4hMTERABATE4OAgACdB0hEeczWrVIfoEOHADMzad2w334D3ppYlYgov9A6Efrmm2+wfPlyrFy5EkZGRury+vXr4+LFizoNjojykPh4aYX4rl2Bly+BmjWl/kEDBrBDNBHlW1onQqGhoWjYsGG6cmtra0RHR+siJiLKi5RK4OZNKemZPBk4eRIoW1buqIiIPorW8wgVK1YMt2/fhouLi0b58ePHUbp0aV3FRUR5QUqK1ClaqQQKFZIWS330CMjgjyEiovxI6xahgQMHYtSoUThz5gwUCgUeP36MDRs2YNy4cRgyZEhOxEhEcggPBzw9gSlT/itzc2MSREQFitaJ0IQJE9CjRw80bdoUr169QsOGDTFgwAAMHjwYI0aM+KAgli5dChcXF5iYmKBOnTo4e/ZstvbbtGkTFAoFOnTo8EHnJaIMCAGsWwdUrSrd/lq5EoiKkjsqIqIcoXUipFAoMHnyZLx48QLXrl3D6dOn8ezZM8yaNeuDAti8eTP8/Pzg7++PixcvomrVqvD29sbTp0+z3O/evXsYN24cGjRo8EHnJaIMREdLcwL16SMtl1G/vtQh2tZW7siIiHLEB0+oqFQqUaFCBdSuXRsWFhYfHMD8+fMxcOBA9OvXDxUqVMDy5cthZmaGVatWZbpPamoqevbsiRkzZrBfEpGuHD0qDYvftAkwNARmzQKOHAHe6Q9IRFSQaN1ZunHjxlBkMVT20KFD2T5WUlISLly4gIkTJ6rLDAwM4OXlhVOnTmW638yZM2Fvb48vvvgCx44dy/IciYmJ6rmOACA2Njbb8RHpjZgYoH176V83N2DDBmnGaCKiAk7rRKhatWoa28nJyQgJCcG1a9fg6+ur1bGioqKQmpoKBwcHjXIHBwfcunUrw32OHz+OX375BSEhIdk6R2BgIGbMmKFVXER6x9oa+OEHqVVo4UJp8VQiIj2gdSK0YMGCDMunT5+OV69efXRAWYmLi0Pv3r2xcuVK2Gazz8LEiRPh5+en3o6NjYWzs3NOhUiUPwgB/Pwz4OoKeHlJZX36SA8iIj2idSKUmV69eqF27dqYO3dutvextbWFoaEhIiMjNcojIyNRrFixdPXv3LmDe/fuoW3btuoylUoFAChUqBBCQ0Ph5uamsY+xsTGMuQAk0X+iooCBA4Ht2wFHR+D6daBwYbmjIiKShc5Wnz916hRMTEy02kepVMLDwwMHDx5Ul6lUKhw8eBB169ZNV798+fK4evUqQkJC1I927dqhcePGCAkJYUsP0fvs2yd1iN6+XVol3s+Pa4QRkV7TukWoU6dOGttCCDx58gTnz5/H1KlTtQ7Az88Pvr6+qFmzJmrXro2FCxfi9evX6NevHwCgT58+KF68OAIDA2FiYoJKlSpp7G9jYwMA6cqJ6C0JCcDEiVL/HwBwd5c6RFevLmtYRERy0zoRsn7nr0cDAwOUK1cOM2fORPPmzbUOwMfHB8+ePcO0adMQERGBatWqITg4WN2B+v79+zAw0FnDFZH+iYkBGjQArl6VtocOBebMkVaOJyLScwohhMhu5dTUVJw4cQKVK1dG4XzapyA2NhbW1tZYty4GvXpZyR0OUc4TAujZEzhwAFi1CmjTRu6IiIi0lvb9HRMTAysr3X1/a9UiZGhoiObNm+PmzZv5NhEi0gsREVIfoKJFpdXily0DEhOBd6aqICLSd1rfc6pUqRLu3r2bE7EQkS7s2gVUrgx88YXUGgQANjZMgoiIMqB1IvTNN99g3Lhx2L17N548eYLY2FiNBxHJJD5e6v/Trp00RD48HHj5Uu6oiIjytGzfGps5cybGjh2LVq1aAQDatWunsdSGEAIKhQKpqam6j5KIsnbxotQPKG1Gdj8/ICAA4BxaRERZynYiNGPGDHz55Zc4fPhwTsZDRNpQqYC5c4EpU4DkZGmCxDVrgGbN5I6MiChfyHYilDa4zNPTM8eCISItvXoldYROTgY6dgRWrpQ6SBMRUbZoNWosq1XniSgXCSGNBrOykiZGvHlT6hzNn1EiIq1olQiVLVv2vcnQixcvPiogIspCXBwwciTw6afA4MFSWf360oOIiLSmVSI0Y8aMdDNLE1EuOX1a6hB99y6wbRvQpQtQpIjcURER5WtaJULdunWDvb19TsVCRBlJSZFGgM2cCaSmAiVLAuvWMQkiItKBbCdC7B9EJIPwcKBXL+DkSWm7e3epc/T/FxsmIqKPo/WoMSLKJdHRgIeHNCmipSXw44/SrTEiItKZbCdCKpUqJ+MgonfZ2Egdow8ckG6FubrKHRERUYGj9RIbRJSD/v5bGgqfZsoU4MgRJkFERDmEiRBRXpCcDEyeDDRqBPToIa0UDwCFCkkPIiLKEfwNSyS3sDCp78/589J29erSSDGuE0ZElOPYIkQkFyGkJTGqV5eSoMKFga1bgVWrAHNzuaMjItILbBEikkNcHNCnD7B9u7TdpIm0WGqJErKGRUSkb9giRCQHU1Pg6VPAyAiYMwfYv59JEBGRDNgiRJRb0jpAGxtLHaDXr5fmCqpeXdawiIj0GVuEiHLD9etA7drApEn/lbm6MgkiIpIZEyGinCQEsHgxULMmcOWK1Ar08qXcURER0f8xESLKKRERQOvW0uzQCQlAixbA5cvS6DAiIsoTmAgR5YTdu4EqVYC//pL6BC1eDPz5J1CsmNyRERHRW9hZmkjXXr6UVoyPiZGSoY0bgYoV5Y6KiIgywESISNcKFwaWLQMuXAACAjhDNBFRHsZbY0QfS6WS5gLau/e/sh49gHnzmAQREeVxbBEi+hgPHwK+vsChQ1L/n5s3ARsbuaMiIqJsYosQ0YfaulXqA3TokLQ22OzZgLW13FEREZEW2CJEpK24OGlIfFCQtF2rFrBhA1CmjKxhERGR9pgIEWnjxQsp8bl7F1AopJmi/f2lNcOIiCjfYSJEpI0iRYB69YCUFGDdOqBhQ7kjIiKij8BEiOh9wsOlPkD29tL20qXSSDF2iiYiyvfYWZooM0JIrT5VqwJffCFtA4CVFZMgIqICgokQUUaio6W5gPr0kTpHR0cDsbFyR0VERDrGRIjoXX//LbUCbdoEGBoC33wDHDnCofFERAUQ+wgRpUlOBqZPBwIDpdtgbm7SsPg6deSOjIiIcghbhIjSvHkD/PqrlAR98QUQEsIkiIiogGOLEOm3tA7QCoXUCXrjRuDRI+Dzz+WNi4iIcgVbhEh/RUUBHTsCP/74X9mnnzIJIiLSI0yESD/t2wdUrgzs2CHNDh0TI3dEREQkAyZCpF8SEoAxYwBvbyAiAnB354gwIiI9xj5CpD+uXZPmBrp6VdoeOhSYMwcwM5M3LiIikg0TIdIPz58DdesCr14BdnbAqlVAmzZyR0VERDJjIkT6oWhRYPx44NQpYPVqwMFB7oiIiCgPYCJEBdeuXYCrK1CpkrQ9aRJgYCANlSciIgI7S1NBFB8PDBkCtGsH9OwpdZAGpOUymAQREdFb2CJEBcvFi1KH6NBQadvLi8kPERFlii1CVDCoVMD330sTIoaGAo6OwP79wLx5gLGx3NEREVEexRYhyv9evpRmgz58WNru2BFYuVLqIE1ERJQFtghR/mdlJa0cb2YG/Pwz8NtvTIKIiChb2CJE+VNcHGBkBJiYSJ2gN2wAEhOBMmXkjoyIiPIRtghR/nP6NFCtGjBhwn9lJUsyCSIiIq0xEaL8IyUFmDkT+Owz4O5dYPt2IDZW7qiIiCgfYyJE+UN4OODpCfj7A6mp0hD5kBCpfxAREdEHYiJEeZsQwLp1QNWqwMmTUuKzfr3UJ8jGRu7oiIgon2Nnacrbnj8HRoyQOkfXry8lQS4uckdFREQFBBMhyttsbYGffgL++UfqHF2IH1kiItIdfqtQ3pKUBEyfLnWIbtVKKvPxkTUkIiIquPJEH6GlS5fCxcUFJiYmqFOnDs6ePZtp3ZUrV6JBgwYoXLgwChcuDC8vryzrUz4SGgrUqwcEBgL9+km3w4iIiHKQ7InQ5s2b4efnB39/f1y8eBFVq1aFt7c3nj59mmH9I0eOoHv37jh8+DBOnToFZ2dnNG/eHI8ePcrlyElnhJCWxKhRA7hwAShcGFi2DLC0lDsyIiIq4BRCCCFnAHXq1EGtWrWwZMkSAIBKpYKzszNGjBiBCW9PmJeJ1NRUFC5cGEuWLEGfPn3eWz82NhbW1tZYty4GvXpx6LXsoqKAgQOlOYEAoEkTYM0aoEQJWcMiIqK8Je37OyYmBlY6nDpF1j5CSUlJuHDhAiZOnKguMzAwgJeXF06dOpWtY8THxyM5ORlFihTJ8PnExEQkJiaqt2M5AV/e8eyZNCz+yRNpuYzAQGDMGMBA9oZKIiLSE7J+40RFRSE1NRUODg4a5Q4ODoiIiMjWMb7++ms4OTnBy8srw+cDAwNhbW2tfjg7O3903KQjdnZA8+aAuztw5gwwdiyTICIiylX5+lvn22+/xaZNm/DHH3/AxMQkwzoTJ05ETEyM+vHgwYNcjpI0XL8OREb+t71kCXD+PFC9unwxERGR3pI1EbK1tYWhoSEi3/5iBBAZGYlixYplue/cuXPx7bffYt++fahSpUqm9YyNjWFlZaXxIBkIASxeDHh4AP37S9sAYGEBmJnJGxsREektWRMhpVIJDw8PHDx4UF2mUqlw8OBB1K1bN9P9vv/+e8yaNQvBwcGoWbNmboRKHyMiQpoTaORIIK2/1uvX8sZERESEPDChop+fH3x9fVGzZk3Url0bCxcuxOvXr9GvXz8AQJ8+fVC8eHEEBgYCAL777jtMmzYNGzduhIuLi7ovkYWFBSwsLGR7HZSJXbukFqCoKMDEBJg7Fxg6FFAo5I6MiIhI/kTIx8cHz549w7Rp0xAREYFq1aohODhY3YH6/v37MHirA+2PP/6IpKQkdO7cWeM4/v7+mD59em6GTlmJj5c6Py9fLm1XqQJs3AhUrChvXERERG+RfR6h3MZ5hHJJXJzUAfrOHSkhmj0bMDaWOyoiIsqnCuQ8QlTAqFTSvwYG0qzQv/4KxMQAmUxtQEREJLd8PXye8pCHD4FmzaTh8Glq1WISREREeRoTIfp4W7dKfYAOHQJmzgRevZI7IiIiomxhIkQfLi5OWiW+a1fg5UupBejUKWluICIionyAiRB9mNOngWrVgKAgaSj85MnAiRNAmTJyR0ZERJRt7CxN2ouMBBo3BhISgJIlgfXrgQYN5I6KiIhIa0yESHsODsDUqcC1a8CyZYCNjdwRERERfRAmQvR+QkitPlWrSp2iAWDiRM4OTURE+R77CFHWoqOBHj2APn2kf9+8kcqZBBERUQHAFiHK3NGjQO/ewIMHgKEh0K0bYGQkd1REREQ6w0SI0ktKAqZPB779Vrot5uYGbNgA1Kkjd2REREQ6xUSIND17BrRqBZw/L2337w8sXCgtmUFERFTAMBEiTUWKAObmQOHCwIoVQOfOckdERESUY5gIERAVJSU/pqZSX6D166XyEiXkjYuIiCiHcdSYvtu3TxoSP378f2UlSjAJIiIivcBESF8lJAB+foC3N/DkCXDwIPD6tdxRERER5SomQvro+nVpBNiCBdL20KFS52hzc3njIiIiymVMhPSJEMDixYCHB3DlCmBnB+zaBSxdCpiZyR0dERFRrmNnaX3y9Cng7w8kJgItWwKrV0vrhhEREekpJkL6xMEBWLlS6hM0bBiXySAiIr3HRKggi48Hxo2TJkhs00Yq+/xzeWMiIiLKQ5gIFVQXLwI9ewK3bgG//QbcvcvO0ERERO9gZ+mCRqUC5swBPv1USoIcHaUJEpkEERERpcMWoYLk4UPA1xc4dEja7thR6hNUtKi8cREREeVRTIQKiidPpBmiX76UhsIvWgR88QU7RBMREWWBiVBB4egotQBduQJs2ACULSt3RERERHkeE6H87MwZoGRJKQkCpMkSjYykBxEREb0XO0vnRykpwMyZQP36QL9+UgdpQLolxiSIiIgo29gilN+EhwO9egEnT0rbRYpIM0WbmsobFxERUT7EFqH8QghpGHzVqlISZGUlbW/cyCSIiIjoA7FFKD+IjQW+/BL49Vdpu359YN06wNVV3riIiIjyOSZC+YGhIXD+vPSvvz8wcSJQiJeOKLcIIZCSkoLU1FS5QyEq0IyMjGBoaJir5+S3aV6VnCwlPgYG0qzQmzZJZXXqyB0ZkV5JSkrCkydPEB8fL3coRAWeQqFAiRIlYGFhkWvnZCKUF4WFSeuE9ewJjB4tldWoIWtIRPpIpVIhPDwchoaGcHJyglKphIKTlBLlCCEEnj17hocPH6JMmTK51jLERCgvEQL4+Wcp+YmPBx49AgYNkobFE1GuS0pKgkqlgrOzM8z4c0iU4+zs7HDv3j0kJyfnWiLEUWN5RVQU0KmTlPjExwNNmgBnzzIJIsoDDAz4q5IoN8jR4sqf7rxg3z5pnbDt26UJEefMAfbvB0qUkDsyIiKiAo23xuT2+DHQti2QlAS4u0vrhFWvLndUREREeoEtQnJzcpKWyxg6VBoizySIiEhWoaGhKFasGOLi4uQOpcD59NNP8dtvv8kdhgYmQrlNCGDJEiAk5L+y8eOBpUvZH4iIdKZv375QKBRQKBQwMjKCq6srxo8fj4SEhHR1d+/eDU9PT1haWsLMzAy1atVCUFBQhsf97bff0KhRI1hbW8PCwgJVqlTBzJkz8eLFixx+Rbln4sSJGDFiBCwtLeUOJccsXboULi4uMDExQZ06dXD27Nks6ycnJ2PmzJlwc3ODiYkJqlatiuDgYI06cXFxGD16NEqVKgVTU1PUq1cP586d06gzZcoUTJgwAaq0NTLzACZCuSkiAmjdGhgxAujRA0j7hcThuESUA1q0aIEnT57g7t27WLBgAX766Sf4+/tr1Fm8eDHat2+P+vXr48yZM7hy5Qq6deuGL7/8EuPGjdOoO3nyZPj4+KBWrVr466+/cO3aNcybNw+XL1/GunXrcu11JSUl5dix79+/j927d6Nv374fdZycjPFjbd68GX5+fvD398fFixdRtWpVeHt74+nTp5nuM2XKFPz0009YvHgxbty4gS+//BIdO3bEpUuX1HUGDBiA/fv3Y926dbh69SqaN28OLy8vPHr0SF2nZcuWiIuLw19//ZWjr1ErQs/ExMQIAGLdupjcPfGuXULY2QkBCGFsLMTixUKoVLkbAxFp5c2bN+LGjRvizZs36jKVSohXr3L/oe2vC19fX9G+fXuNsk6dOonq1aurt+/fvy+MjIyEn59fuv1/+OEHAUCcPn1aCCHEmTNnBACxcOHCDM/38uXLTGN58OCB6NatmyhcuLAwMzMTHh4e6uNmFOeoUaOEp6enetvT01MMGzZMjBo1ShQtWlQ0atRIdO/eXXTt2lVjv6SkJFG0aFGxZs0aIYQQqampIiAgQLi4uAgTExNRpUoVsXXr1kzjFEKIOXPmiJo1a2qURUVFiW7dugknJydhamoqKlWqJDZu3KhRJ6MYhRDi6tWrokWLFsLc3FzY29uLXr16iWfPnqn3++uvv0T9+vWFtbW1KFKkiGjdurW4fft2ljF+rNq1a4thw4apt1NTU4WTk5MIDAzMdB9HR0exZMkSjbJOnTqJnj17CiGEiI+PF4aGhmL37t0adWrUqCEmT56sUdavXz/Rq1evDM+T0c9cmrTv75gY3X5/s0Uop8XHS/1/2rYFnj2TRodduAAMH86WIKJ8KD4esLDI/cfHTmx97do1nDx5EkqlUl22bds2JCcnp2v5AYDBgwfDwsICv/5/jcMNGzbAwsICQ4cOzfD4NjY2GZa/evUKnp6eePToEXbu3InLly9j/PjxWt8aWbNmDZRKJU6cOIHly5ejZ8+e2LVrF169eqWus3fvXsTHx6Njx44AgMDAQKxduxbLly/H9evXMWbMGPTq1QtHjx7N9DzHjh1DzZo1NcoSEhLg4eGBPXv24Nq1axg0aBB69+6d7nbSuzFGR0ejSZMmqF69Os6fP4/g4GBERkaia9eu6n1ev34NPz8/nD9/HgcPHoSBgQE6duyY5fsTEBAACwuLLB/379/PcN+kpCRcuHABXl5e6jIDAwN4eXnh1KlTmZ4zMTERJiYmGmWmpqY4fvw4AKiXoMmqTpratWvj2LFjmZ4rt3HUWE568kSaD+jWLWnbzw8ICACMjeWNi4j0wu7du2FhYYGUlBQkJibCwMAAS5YsUT8fFhYGa2trODo6pttXqVSidOnSCAsLAwD8888/KF26NIyMjLSKYePGjXj27BnOnTuHIkWKAAA++eQTrV9LmTJl8P3336u33dzcYG5ujj/++AO9e/dWn6tdu3awtLREYmIiAgICcODAAdStWxcAULp0aRw/fhw//fQTPD09MzzPv//+my4RKl68uEayOGLECOzduxdbtmxB7dq1M43xm2++QfXq1REQEKAuW7VqFZydnREWFoayZcvi888/1zjXqlWrYGdnhxs3bqBSpUoZxvjll19qJFMZcXJyyrA8KioKqampcHBw0Ch3cHDArbTvqgx4e3tj/vz5aNiwIdzc3HDw4EH8/vvv6vX3LC0tUbduXcyaNQvu7u5wcHDAr7/+ilOnTqW73k5OTnjw4AFUKlWemKOLiVBOcnAAHB2BmBhgzRqgWTO5IyKij2RmBrzVCJGr59VW48aN8eOPP+L169dYsGABChUqlO6LN7uEEB+0X0hICKpXr65Ogj6Uh4eHxnahQoXQtWtXbNiwAb1798br16+xY8cObNq0CQBw+/ZtxMfHo9k7v3eTkpJQPYvRuW/evEnXqpGamoqAgABs2bIFjx49QlJSEhITE9PNNv5ujJcvX8bhw4czXDfrzp07KFu2LP755x9MmzYNZ86cQVRUlLol6P79+5kmQkWKFPno91NbixYtwsCBA1G+fHkoFAq4ubmhX79+WLVqlbrOunXr0L9/fxQvXhyGhoaoUaMGunfvjgsXLmgcy9TUFCqVComJiTA1Nc3V15ERJkK69vAhUKSI9FvLwECaF8jICLC1lTsyItIBhUJaBzk/MDc3V/81vmrVKlStWhW//PILvvjiCwBA2bJlERMTg8ePH6drQUhKSsKdO3fQuHFjdd3jx48jOTlZq1ah933RGRgYpEuykpOTM3wt7+rZsyc8PT3x9OlT7N+/H6ampmjRogUAqG+Z7dmzB8WLF9fYzziLVnlbW1u8fPlSo2zOnDlYtGgRFi5ciMqVK8Pc3ByjR49O1yH63RhfvXqFtm3b4rvvvkt3nrRWuLZt26JUqVJYuXIlnJycoFKpUKlSpSw7WwcEBGi0MmXkxo0bKFmyZIavz9DQEJGRkRrlkZGRKFasWKbHs7Ozw/bt25GQkIDnz5/DyckJEyZMQOnSpdV13NzccPToUbx+/RqxsbFwdHSEj4+PRh0AePHiBczNzfNEEgRw1Jhubd0q9QF6+367oyOTICKSnYGBASZNmoQpU6bgzZs3AIDPP/8cRkZGmDdvXrr6y5cvx+vXr9G9e3cAQI8ePfDq1SssW7Ysw+NHR0dnWF6lShWEhIRkOrzezs4OT5480SgLeXt6kSzUq1cPzs7O2Lx5MzZs2IAuXbqok7QKFSrA2NgY9+/fxyeffKLxcHZ2zvSY1atXx40bNzTKTpw4gfbt26NXr16oWrWqxi3DrNSoUQPXr1+Hi4tLuhjMzc3x/PlzhIaGYsqUKWjatCnc3d3TJWEZ+fLLLxESEpLlI7NbY0qlEh4eHjh48KC6TKVS4eDBg+pbiFkxMTFB8eLFkZKSgt9++w3t27dPV8fc3ByOjo54+fIl9u7dm67OtWvXsmyVy3U67XqdD+TIqLHYWCH69ZNGhAFC1K4tRHy87o5PRLLIagRLXpfRaKzk5GRRvHhxMWfOHHXZggULhIGBgZg0aZK4efOmuH37tpg3b54wNjYWY8eO1dh//PjxwtDQUHz11Vfi5MmT4t69e+LAgQOic+fOmY4mS0xMFGXLlhUNGjQQx48fF3fu3BHbtm0TJ0+eFEIIERwcLBQKhVizZo0ICwsT06ZNE1ZWVulGjY0aNSrD40+ePFlUqFBBFCpUSBw7dizdc0WLFhVBQUHi9u3b4sKFC+KHH34QQUFBmb5vO3fuFPb29iIlJUVdNmbMGOHs7CxOnDghbty4IQYMGCCsrKw03t+MYnz06JGws7MTnTt3FmfPnhW3b98WwcHBom/fviIlJUWkpqaKokWLil69eol//vlHHDx4UNSqVUsAEH/88UemMX6sTZs2CWNjYxEUFCRu3LghBg0aJGxsbERERIS6Tu/evcWECRPU26dPnxa//fabuHPnjvj7779FkyZNhKurq8ZoweDgYPHXX3+Ju3fvin379omqVauKOnXqiKSkJI3ze3p6ipkzZ2YYmxyjxpgIfaxTp4Rwc5MSIIVCiMmThXjnohNR/lTQEiEhhAgMDBR2dnbi1atX6rIdO3aIBg0aCHNzc2FiYiI8PDzEqlWrMjzu5s2bRcOGDYWlpaUwNzcXVapUETNnzsxy+Py9e/fE559/LqysrISZmZmoWbOmOHPmjPr5adOmCQcHB2FtbS3GjBkjhg8fnu1E6MaNGwKAKFWqlFC9M8eASqUSCxcuFOXKlRNGRkbCzs5OeHt7i6NHj2Yaa3JysnBychLBwcHqsufPn4v27dsLCwsLYW9vL6ZMmSL69Onz3kRICCHCwsJEx44dhY2NjTA1NRXly5cXo0ePVse6f/9+4e7uLoyNjUWVKlXEkSNHcjwREkKIxYsXi5IlSwqlUilq166tns7g7dfj6+ur3j5y5Ig6zqJFi4revXuLR48eaeyzefNmUbp0aaFUKkWxYsXEsGHDRHR0tEadhw8fCiMjI/HgwYMM45IjEVII8YE94PKp2NhYWFtbY926GPTqZfXhB0pJkUaAzZwJpKYCJUsC69YBDRvqLlgiklVCQgLCw8Ph6uqargMtFVxLly7Fzp07sXfvXrlDKXC+/vprvHz5EitWrMjw+ax+5tK+v2NiYmBl9RHf3+9gZ+kP9ewZsGiRlAR17w4sWwZkMo8GERHlH4MHD0Z0dDTi4uIK9DIbcrC3t4efn5/cYWhgIvShHB2BVauAuDigVy+5oyEiIh0pVKgQJk+eLHcYBdLYsWPlDiEdjhrLruhoqeVnx47/ytq3ZxJERESUjzERyo6jR6Vh8Zs2AV9++d9iqURERJSvMRHKSlISMHEi0Lgx8OAB4OYGbN8OsNMkkV7RszElRLKR42eNfYQyExoK9OwpLZAKAP37S52jM5gqnYgKprTJ+eLj4/PMLLhEBVnajNqGhoa5dk4mQhl58ACoUUNa7rlwYWDlSuAD1+chovzL0NAQNjY2ePr0KQDAzMwMCoVC5qiICiaVSoVnz57BzMwMhQrlXnrCRCgjzs5SJ+jbt6XFUkuUkDsiIpJJ2vpLackQEeUcAwMDlCxZMlf/4GAilGb/fqBiRSBtfZYffpAWSzVgNyoifaZQKODo6Ah7e/sMFwMlIt1RKpUwyOXv3TyRCC1duhRz5sxBREQEqlatisWLF6N27dqZ1t+6dSumTp2Ke/fuoUyZMvjuu+/QqlWrDzt5QoLUIXrhQsDLC9i7V0p+slidmIj0j6GhYa72WyCi3CF7c8fmzZvh5+cHf39/XLx4EVWrVoW3t3emzdAnT55E9+7d8cUXX+DSpUvo0KEDOnTogGvXrml/8mvXgNq1pSQIAMqWBfgXHxERkd6Qfa2xOnXqoFatWliyZAkAqbOUs7MzRowYgQkTJqSr7+Pjg9evX2P37t3qsk8//RTVqlXD8uXL33u+tLVKjvX+Dp9tmQYkJgJ2dtIs0W3a6O6FERERkc7k1FpjsrYIJSUl4cKFC/Dy8lKXGRgYwMvLC6dOncpwn1OnTmnUBwBvb+9M62emyrqvpSSoZUvg6lUmQURERHpI1j5CUVFRSE1NhYODg0a5g4MDbt26leE+ERERGdaPiIjIsH5iYiISExPV2zExMQCAl4ZGQOBsYNAgQKEAYmM/5qUQERFRDor9//e0rm9k5YnO0jkpMDAQM2bMSFfukpoMjB8vPYiIiChfeP78OaytrXV2PFkTIVtbWxgaGiIyMlKjPDIyUj13x7uKFSumVf2JEyfCz89PvR0dHY1SpUrh/v37On0jSXuxsbFwdnbGgwcPdHq/lz4Mr0fewWuRd/Ba5B0xMTEoWbIkihQpotPjypoIKZVKeHh44ODBg+jQoQMAqbP0wYMHMXz48Az3qVu3Lg4ePIjRo0ery/bv34+6detmWN/Y2BjGGQyFt7a25oc6j7CysuK1yEN4PfIOXou8g9ci79D1PEOy3xrz8/ODr68vatasidq1a2PhwoV4/fo1+vXrBwDo06cPihcvjsDAQADAqFGj4OnpiXnz5qF169bYtGkTzp8/jxUrVsj5MoiIiCgfkj0R8vHxwbNnzzBt2jRERESgWrVqCA4OVneIvn//vkb2V69ePWzcuBFTpkzBpEmTUKZMGWzfvh2VKlWS6yUQERFRPiV7IgQAw4cPz/RW2JEjR9KVdenSBV26dPmgcxkbG8Pf3z/D22WUu3gt8hZej7yD1yLv4LXIO3LqWsg+oSIRERGRXGRfYoOIiIhILkyEiIiISG8xESIiIiK9xUSIiIiI9FaBTISWLl0KFxcXmJiYoE6dOjh79myW9bdu3Yry5cvDxMQElStXxp9//plLkRZ82lyLlStXokGDBihcuDAKFy4MLy+v91470o62PxtpNm3aBIVCoZ74lD6ettciOjoaw4YNg6OjI4yNjVG2bFn+rtIRba/FwoULUa5cOZiamsLZ2RljxoxBQkJCLkVbcP39999o27YtnJycoFAosH379vfuc+TIEdSoUQPGxsb45JNPEBQUpP2JRQGzadMmoVQqxapVq8T169fFwIEDhY2NjYiMjMyw/okTJ4ShoaH4/vvvxY0bN8SUKVOEkZGRuHr1ai5HXvBoey169Oghli5dKi5duiRu3rwp+vbtK6ytrcXDhw9zOfKCSdvrkSY8PFwUL15cNGjQQLRv3z53gi3gtL0WiYmJombNmqJVq1bi+PHjIjw8XBw5ckSEhITkcuQFj7bXYsOGDcLY2Fhs2LBBhIeHi7179wpHR0cxZsyYXI684Pnzzz/F5MmTxe+//y4AiD/++CPL+nfv3hVmZmbCz89P3LhxQyxevFgYGhqK4OBgrc5b4BKh2rVri2HDhqm3U1NThZOTkwgMDMywfteuXUXr1q01yurUqSMGDx6co3HqA22vxbtSUlKEpaWlWLNmTU6FqFc+5HqkpKSIevXqiZ9//ln4+voyEdIRba/Fjz/+KEqXLi2SkpJyK0S9oe21GDZsmGjSpIlGmZ+fn6hfv36OxqlvspMIjR8/XlSsWFGjzMfHR3h7e2t1rgJ1aywpKQkXLlyAl5eXuszAwABeXl44depUhvucOnVKoz4AeHt7Z1qfsudDrsW74uPjkZycrPMF9vTRh16PmTNnwt7eHl988UVuhKkXPuRa7Ny5E3Xr1sWwYcPg4OCASpUqISAgAKmpqbkVdoH0IdeiXr16uHDhgvr22d27d/Hnn3+iVatWuRIz/UdX3995YmZpXYmKikJqaqp6eY40Dg4OuHXrVob7REREZFg/IiIix+LUBx9yLd719ddfw8nJKd0HnbT3Idfj+PHj+OWXXxASEpILEeqPD7kWd+/exaFDh9CzZ0/8+eefuH37NoYOHYrk5GT4+/vnRtgF0odcix49eiAqKgqfffYZhBBISUnBl19+iUmTJuVGyPSWzL6/Y2Nj8ebNG5iammbrOAWqRYgKjm+//RabNm3CH3/8ARMTE7nD0TtxcXHo3bs3Vq5cCVtbW7nD0XsqlQr29vZYsWIFPDw84OPjg8mTJ2P58uVyh6Z3jhw5goCAACxbtgwXL17E77//jj179mDWrFlyh0YfqEC1CNna2sLQ0BCRkZEa5ZGRkShWrFiG+xQrVkyr+pQ9H3It0sydOxfffvstDhw4gCpVquRkmHpD2+tx584d3Lt3D23btlWXqVQqAEChQoUQGhoKNze3nA26gPqQnw1HR0cYGRnB0NBQXebu7o6IiAgkJSVBqVTmaMwF1Ydci6lTp6J3794YMGAAAKBy5cp4/fo1Bg0ahMmTJ2ssEk45K7Pvbysrq2y3BgEFrEVIqVTCw8MDBw8eVJepVCocPHgQdevWzXCfunXratQHgP3792dan7LnQ64FAHz//feYNWsWgoODUbNmzdwIVS9oez3Kly+Pq1evIiQkRP1o164dGjdujJCQEDg7O+dm+AXKh/xs1K9fH7dv31YnowAQFhYGR0dHJkEf4UOuRXx8fLpkJy1BFVy6M1fp7Ptbu37ced+mTZuEsbGxCAoKEjdu3BCDBg0SNjY2IiIiQgghRO/evcWECRPU9U+cOCEKFSok5s6dK27evCn8/f05fF5HtL0W3377rVAqlWLbtm3iyZMn6kdcXJxcL6FA0fZ6vIujxnRH22tx//59YWlpKYYPHy5CQ0PF7t27hb29vfjmm2/kegkFhrbXwt/fX1haWopff/1V3L17V+zbt0+4ubmJrl27yvUSCoy4uDhx6dIlcenSJQFAzJ8/X1y6dEn8+++/QgghJkyYIHr37q2unzZ8/quvvhI3b94US5cu5fD5NIsXLxYlS5YUSqVS1K5dW5w+fVr9nKenp/D19dWov2XLFlG2bFmhVCpFxYoVxZ49e3I54oJLm2tRqlQpASDdw9/fP/cDL6C0/dl4GxMh3dL2Wpw8eVLUqVNHGBsbi9KlS4vZs2eLlJSUXI66YNLmWiQnJ4vp06cLNzc3YWJiIpydncXQoUPFy5cvcz/wAubw4cMZfgekvf++vr7C09Mz3T7VqlUTSqVSlC5dWqxevVrr8yqEYFseERER6acC1UeIiIiISBtMhIiIiEhvMREiIiIivcVEiIiIiPQWEyEiIiLSW0yEiIiISG8xESIiIiK9xUSIiDQEBQXBxsZG7jA+mEKhwPbt27Os07dvX3To0CFX4iGivI2JEFEB1LdvXygUinSP27dvyx0agoKC1PEYGBigRIkS6NevH54+faqT4z958gQtW7YEANy7dw8KhQIhISEadRYtWoSgoCCdnC8z06dPV79OQ0NDODs7Y9CgQXjx4oVWx2HSRpSzCtTq80T0nxYtWmD16tUaZXZ2djJFo8nKygqhoaFQqVS4fPky+vXrh8ePH2Pv3r0ffezMVg1/m7W19UefJzsqVqyIAwcOIDU1FTdv3kT//v0RExODzZs358r5iej92CJEVEAZGxujWLFiGg9DQ0PMnz8flStXhrm5OZydnTF06FC8evUq0+NcvnwZjRs3hqWlJaysrODh4YHz58+rnz9+/DgaNGgAU1NTODs7Y+TIkXj9+nWWsSkUChQrVgxOTk5o2bIlRo4ciQMHDuDNmzdQqVSYOXMmSpQoAWNjY1SrVg3BwcHqfZOSkjB8+HA4OjrCxMQEpUqVQmBgoMax026Nubq6AgCqV68OhUKBRo0aAdBsZVmxYgWcnJw0VnYHgPbt26N///7q7R07dqBGjRowMTFB6dKlMWPGDKSkpGT5OgsVKoRixYqhePHi8PLyQpcuXbB//37186mpqfjiiy/g6uoKU1NTlCtXDosWLVI/P336dKxZswY7duxQty4dOXIEAPDgwQN07doVNjY2KFKkCNq3b4979+5lGQ8RpcdEiEjPGBgY4IcffsD169exZs0aHDp0COPHj8+0fs+ePVGiRAmcO3cOFy5cwIQJE2BkZAQAuHPnDlq0aIHPP/8cV65cwebNm3H8+HEMHz5cq5hMTU2hUqmQkpKCRYsWYd68eZg7dy6uXLkCb29vtGvXDv/88w8A4IcffsDOnTuxZcsWhIaGYsOGDXBxccnwuGfPngUAHDhwAE+ePMHvv/+erk6XLl3w/PlzHD58WF324sULBAcHo2fPngCAY8eOoU+fPhg1ahRu3LiBn376CUFBQZg9e3a2X+O9e/ewd+9eKJVKdZlKpUKJEiWwdetW3LhxA9OmTcOkSZOwZcsWAMC4cePQtWtXtGjRAk+ePMGTJ09Qr149JCcnw9vbG5aWljh27BhOnDgBCwsLtGjRAklJSdmOiYiAArn6PJG+8/X1FYaGhsLc3Fz96Ny5c4Z1t27dKooWLareXr16tbC2tlZvW1paiqCgoAz3/eKLL8SgQYM0yo4dOyYMDAzEmzdvMtzn3eOHhYWJsmXLipo1awohhHBychKzZ8/W2KdWrVpi6NChQgghRowYIZo0aSJUKlWGxwcg/vjjDyGEEOHh4QKAuHTpkkYdX19f0b59e/V2+/btRf/+/dXbP/30k3BychKpqalCCCGaNm0qAgICNI6xbt064ejomGEMQgjh7+8vDAwMhLm5uTAxMVGvpD1//vxM9xFCiGHDhonPP/8801jTzl2uXDmN9yAxMVGYmpqKvXv3Znl8ItLEPkJEBVTjxo3x448/qrfNzc0BSK0jgYGBuHXrFmJjY5GSkoKEhATEx8fDzMws3XH8/PwwYMAArFu3Tn17x83NDYB02+zKlSvYsGGDur4QAiqVCuHh4XB3d88wtpiYGFhYWEClUiEhIQGfffYZfv75Z8TGxuLx48eoX7++Rv369evj8uXLAKTbWs2aNUO5cuXQokULtGnTBs2bN/+o96pnz54YOHAgli1bBmNjY2zYsAHdunWDgYGB+nWeOHFCowUoNTU1y/cNAMqVK4edO3ciISEB69evR0hICEaMGKFRZ+nSpVi1ahXu37+PN2/eICkpCdWqVcsy3suXL+P27duwtLTUKE9ISMCdO3c+4B0g0l9MhIgKKHNzc3zyyScaZffu3UObNm0wZMgQzJ49G0WKFMHx48fxxRdfICkpKcMv9OnTp6NHjx7Ys2cP/vrrL/j7+2PTpk3o2LEjXr16hcGDB2PkyJHp9itZsmSmsVlaWuLixYswMDCAo6MjTE1NAQCxsbHvfV01atRAeHg4/vrrLxw4cABdu3aFl5cXtm3b9t59M9O2bVsIIbBnzx7UqlULx44dw4IFC9TPv3r1CjNmzECnTp3S7WtiYpLpcZVKpfoafPvtt2jdujVmzJiBWbNmAQA2bdqEcePGYd68eahbty4sLS0xZ84cnDlzJst4X716BQ8PD40ENE1e6RBPlF8wESLSIxcuXIBKpcK8efPUrR1p/VGyUrZsWZQtWxZjxoxB9+7dsXr1anTs2BE1atTAjRs30iVc72NgYJDhPlZWVnBycsKJEyfg6empLj9x4gRq166tUc/Hxwc+Pj7o3LkzWrRogRcvXqBIkSIax0vrj5OampplPCYmJujUqRM2bNiA27dvo1y5cqhRo4b6+Ro1aiA0NFTr1/muKVOmoEmTJhgyZIj6ddarVw9Dhw5V13m3RUepVKaLv0aNGti8eTPs7e1hZWX1UTER6Tt2libSI5988gmSk5OxePFi3L17F+vWrcPy5cszrf/mzRsMHz4cR44cwb///osTJ07g3Llz6lteX3/9NU6ePInhw4cjJCQE//zzD3bs2KF1Z+m3ffXVV/juu++wefNmhIaGYsKECQgJCcGoUaMAAPPnz8evv/6KW7duISwsDFu3bkWxYsUynATS3t4epqamCA4ORmRkJGJiYjI9b8+ePbFnzx6sWrVK3Uk6zbRp07B27VrMmDED169fx82bN7Fp0yZMmTJFq9dWt25dVKlSBQEBAQCAMmXK4Pz589i7dy/CwsIwdepUnDt3TmMfFxcXXLlyBaGhoYiKikJycjJ69uwJW1tbtG/fHseOHUN4eDiOHDmCkSNH4uHDh1rFRKT35O6kRES6l1EH2zTz588Xjo6OwtTUVHh7e4u1a9cKAOLly5dCCM3OzImJiaJbt27C2dlZKJVK4eTkJIYPH67REfrs2bOiWbNmwsLCQpibm4sqVaqk6+z8tnc7S78rNTVVTJ8+XRQvXlwYGRmJqlWrir/++kv9/IoVK0S1atWEubm5sLKyEk2bNhUXL15UP4+3OksLIcTKlSuFs7OzMDAwEJ6enpm+P6mpqcLR0VEAEHfu3EkXV3BwsKhXr54wNTUVVlZWonbt2mLFihWZvg5/f39RtWrVdOW//vqrMDY2Fvfv3xcJCQmib9++wtraWtjY2IghQ4aICRMmaOz39OlT9fsLQBw+fFgIIcSTJ09Enz59hK2trTA2NhalS5cWAwcOFDExMZnGRETpKYQQQt5UjIiIiEgevDVGREREeouJEBEREektJkJERESkt5gIERERkd5iIkRERER6i4kQERER6S0mQkRERKS3mAgRERGR3mIiRERERHqLiRARERHpLSZCREREpLeYCBEREZHe+h+6JH+f7r0r7wAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model: Gradient Boosting Classification\n",
"Best Parameters: {'model__learning_rate': 0.1, 'model__max_depth': 5, 'model__n_estimators': 200}\n",
"Accuracy: 0.9621621621621622\n",
"Precision: 0.9738562091503268\n",
"Recall: 0.8975903614457831\n",
"F1-score: 0.9341692789968652\n",
"AUC: 0.9855592033945552\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"from sklearn.model_selection import train_test_split, GridSearchCV\n",
"from sklearn.preprocessing import StandardScaler\n",
"from sklearn.linear_model import LinearRegression, LogisticRegression\n",
"from sklearn.ensemble import RandomForestRegressor, RandomForestClassifier\n",
"from sklearn.ensemble import GradientBoostingRegressor, GradientBoostingClassifier\n",
"from sklearn.pipeline import Pipeline\n",
"from sklearn.compose import ColumnTransformer\n",
"from sklearn.preprocessing import OneHotEncoder\n",
"from sklearn.metrics import (mean_absolute_error, mean_squared_error, r2_score, \n",
" accuracy_score, precision_score, recall_score, \n",
" f1_score, confusion_matrix, ConfusionMatrixDisplay, \n",
" roc_curve, auc)\n",
"\n",
"# Загружаем набор данных\n",
"df = pd.read_csv(\"data/Medical_insurance.csv\")\n",
"\n",
"# Проверка наличия пропусков\n",
"if df.isnull().sum().any():\n",
" print(\"Пропуски обнаружены в следующих столбцах:\")\n",
" print(df.isnull().sum())\n",
"else:\n",
" print(\"Пропуски не обнаружены.\")\n",
"\n",
"# Определяем категориальные и числовые столбцы\n",
"categorical_cols = ['sex', 'smoker', 'region']\n",
"numerical_cols = ['age', 'bmi', 'children']\n",
"\n",
"# Создаем преобразователь для категориальных и числовых столбцов\n",
"preprocessor = ColumnTransformer(\n",
" transformers=[\n",
" ('cat', OneHotEncoder(), categorical_cols),\n",
" ('num', StandardScaler(), numerical_cols)\n",
" ])\n",
"\n",
"# Список моделей и их гиперпараметров для задачи регрессии\n",
"models_reg = {\n",
" \"Linear Regression\": (LinearRegression(), {}),\n",
" \"Random Forest Regression\": (RandomForestRegressor(), {\n",
" 'model__n_estimators': [100, 200],\n",
" 'model__max_depth': [None, 10, 20]\n",
" }),\n",
" \"Gradient Boosting Regression\": (GradientBoostingRegressor(), {\n",
" 'model__n_estimators': [100, 200],\n",
" 'model__learning_rate': [0.01, 0.1],\n",
" 'model__max_depth': [3, 5]\n",
" })\n",
"}\n",
"\n",
"# Распределяем данные на признаки и целевую переменную для задачи регрессии\n",
"X_reg = df[categorical_cols + numerical_cols]\n",
"y_reg = df['charges']\n",
"\n",
"# Разделяем данные на обучающую и тестовую выборки для задачи регрессии\n",
"X_train_reg, X_test_reg, y_train_reg, y_test_reg = train_test_split(X_reg, y_reg, test_size=0.2, random_state=42)\n",
"\n",
"# Обучаем и оцениваем модели для задачи регрессии\n",
"print(\"Результаты для задачи регрессии:\")\n",
"for name, (model, params) in models_reg.items():\n",
" pipeline = Pipeline(steps=[('preprocessor', preprocessor), ('model', model)])\n",
" grid_search = GridSearchCV(pipeline, params, cv=5, scoring='neg_mean_absolute_error')\n",
" grid_search.fit(X_train_reg, y_train_reg)\n",
" best_model = grid_search.best_estimator_\n",
" y_pred_reg = best_model.predict(X_test_reg)\n",
" mae = mean_absolute_error(y_test_reg, y_pred_reg)\n",
" mse = mean_squared_error(y_test_reg, y_pred_reg)\n",
" rmse = mean_squared_error(y_test_reg, y_pred_reg, squared=False)\n",
" r2 = r2_score(y_test_reg, y_pred_reg)\n",
" print(f\"Model: {name}\")\n",
" print(f\"Best Parameters: {grid_search.best_params_}\")\n",
" print(f\"MAE: {mae}\")\n",
" print(f\"MSE: {mse}\")\n",
" print(f\"RMSE: {rmse}\")\n",
" print(f\"R²: {r2}\\n\")\n",
"\n",
"# Список моделей и их гиперпараметров для задачи классификации\n",
"models_class = {\n",
" \"Logistic Regression\": (LogisticRegression(max_iter=1000), {\n",
" 'model__C': [0.1, 1, 10],\n",
" 'model__solver': ['liblinear', 'lbfgs']\n",
" }),\n",
" \"Random Forest Classification\": (RandomForestClassifier(), {\n",
" 'model__n_estimators': [100, 200],\n",
" 'model__max_depth': [None, 10, 20]\n",
" }),\n",
" \"Gradient Boosting Classification\": (GradientBoostingClassifier(), {\n",
" 'model__n_estimators': [100, 200],\n",
" 'model__learning_rate': [0.01, 0.1],\n",
" 'model__max_depth': [3, 5]\n",
" })\n",
"}\n",
"\n",
"# Разделяем данные на признаки и целевую переменную для задачи классификации\n",
"X_class = df[categorical_cols + numerical_cols]\n",
"y_class = (df['charges'] > df['charges'].mean()).astype(int)\n",
"\n",
"# Разделяем данные на обучающую и тестовую выборки для задачи классификации\n",
"X_train_class, X_test_class, y_train_class, y_test_class = train_test_split(X_class, y_class, test_size=0.2, random_state=42)\n",
"\n",
"# Обучаем и оцениваем модели для задачи классификации\n",
"print(\"Результаты для задачи классификации:\")\n",
"for name, (model, params) in models_class.items():\n",
" pipeline = Pipeline(steps=[('preprocessor', preprocessor), ('model', model)])\n",
" grid_search = GridSearchCV(pipeline, params, cv=5, scoring='accuracy')\n",
" grid_search.fit(X_train_class, y_train_class)\n",
" best_model = grid_search.best_estimator_\n",
" y_pred_class = best_model.predict(X_test_class)\n",
" y_pred_prob = best_model.predict_proba(X_test_class)[:, 1] # Предсказанные вероятности для позитива\n",
" accuracy = accuracy_score(y_test_class, y_pred_class)\n",
" precision = precision_score(y_test_class, y_pred_class)\n",
" recall = recall_score(y_test_class, y_pred_class)\n",
" f1 = f1_score(y_test_class, y_pred_class)\n",
" roc_auc = auc(*roc_curve(y_test_class, y_pred_prob)[:2]) # Добавляем вычисление AUC\n",
"\n",
" print(f\"Model: {name}\")\n",
" print(f\"Best Parameters: {grid_search.best_params_}\")\n",
" print(f\"Accuracy: {accuracy}\")\n",
" print(f\"Precision: {precision}\")\n",
" print(f\"Recall: {recall}\")\n",
" print(f\"F1-score: {f1}\")\n",
" print(f\"AUC: {roc_auc}\")\n",
"\n",
" # Вычисляем метрики MAE, MSE, RMSE и R² для логистической регрессии\n",
" if name == \"Logistic Regression\":\n",
" mae = mean_absolute_error(y_test_class, y_pred_prob)\n",
" mse = mean_squared_error(y_test_class, y_pred_prob)\n",
" rmse = mean_squared_error(y_test_class, y_pred_prob, squared=False)\n",
" r2 = r2_score(y_test_class, y_pred_prob)\n",
" print(f\"MAE: {mae}\")\n",
" print(f\"MSE: {mse}\")\n",
" print(f\"RMSE: {rmse}\")\n",
" print(f\"R²: {r2}\\n\")\n",
"\n",
" # Визуализация матрицы ошибок\n",
" cm = confusion_matrix(y_test_class, y_pred_class)\n",
" disp = ConfusionMatrixDisplay(confusion_matrix=cm, display_labels=['Less', 'More'])\n",
" disp.plot(cmap=plt.cm.Blues)\n",
" plt.title(f'Confusion Matrix for {name}')\n",
" plt.show()\n",
"\n",
" # ROC-кривая\n",
" fpr, tpr, thresholds = roc_curve(y_test_class, y_pred_prob)\n",
" plt.figure()\n",
" plt.plot(fpr, tpr, color='blue', label=f'ROC curve (area = {roc_auc:.2f})')\n",
" plt.plot([0, 1], [0, 1], color='red', linestyle='--')\n",
" plt.xlim([0.0, 1.0])\n",
" plt.ylim([0.0, 1.05])\n",
" plt.xlabel('False Positive Rate')\n",
" plt.ylabel('True Positive Rate')\n",
" plt.title(f'ROC Curve for {name}')\n",
" plt.legend(loc=\"lower right\")\n",
" plt.show()"
]
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