{ "cells": [ { "metadata": { "ExecuteTime": { "end_time": "2026-10-12T12:39:15.712119200Z", "start_time": "2026-10-12T12:39:00.796698600Z" } }, "cell_type": "code", "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from sklearn.linear_model import LinearRegression\n", "from sklearn.tree import DecisionTreeRegressor\n", "from sklearn.svm import SVR" ], "id": "d3107201cd6b17ad", "outputs": [], "execution_count": 1 }, { "cell_type": "code", "id": "initial_id", "metadata": { "collapsed": true, "ExecuteTime": { "end_time": "2026-10-12T12:39:15.763657800Z", "start_time": "2026-10-12T12:39:15.723118500Z" } }, "source": [ "# macht nichts\n", "# X = np.linspace(0, 2)\n", "np.random.seed(42) # vereinfachte Variante, siehe np.random\n", "X = np.sort(np.random.rand(50)*2)\n", "T = np.sin(5*X) + X**2 + np.random.randn(len(X))/10" ], "outputs": [], "execution_count": 2 }, { "metadata": { "ExecuteTime": { "end_time": "2026-10-12T12:39:16.272565900Z", "start_time": "2026-10-12T12:39:15.768657800Z" } }, "cell_type": "code", "source": [ "plt.plot(X, T, '.')\n", "plt.xlabel('x')\n", "plt.ylabel('t')\n", "plt.show()" ], "id": "57536fd96591e796", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 3 }, { "metadata": {}, "cell_type": "markdown", "source": "Die 50 Datenpunkte haben die Klasse X und das Merkmal in T. jedenfalls scheint es so. Das ist eigentlich komplettkontextabhängig.", "id": "12712a74c9fc18ef" }, { "metadata": { "ExecuteTime": { "end_time": "2026-10-12T12:39:16.411620500Z", "start_time": "2026-10-12T12:39:16.296567300Z" } }, "cell_type": "code", "source": [ "reg = LinearRegression()\n", "reg.fit(X.reshape(-1, 1), T)\n", "line = reg.predict(X.reshape(-1, 1))" ], "id": "6adc0e7db9a59f04", "outputs": [], "execution_count": 4 }, { "metadata": {}, "cell_type": "markdown", "source": "Vorher waren es einfach nur ein Array mit nur einer Dimension. Jetzt ist es Eine zweidimensionale Matrix, die in der zweiten Dimension die Größe 1 hat. Von den Daten macht es keinen Unterschied. Es geht eher um die Form des Inputs für die Regression.", "id": "e876274e8691ad6c" }, { "metadata": { "ExecuteTime": { "end_time": "2026-10-12T12:39:16.709967700Z", "start_time": "2026-10-12T12:39:16.416565400Z" } }, "cell_type": "code", "source": [ "plt.plot(X, T, '.')\n", "plt.plot(X, line)\n", "plt.xlabel('x')\n", "plt.ylabel('t')\n", "plt.show()" ], "id": "2385841bcd2b3130", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 5 }, { "metadata": { "ExecuteTime": { "end_time": "2026-10-12T12:39:16.872713400Z", "start_time": "2026-10-12T12:39:16.720967500Z" } }, "cell_type": "code", "source": [ "DTreg = DecisionTreeRegressor()\n", "DTreg.fit(X.reshape(-1, 1), T)\n", "DTline = DTreg.predict(X.reshape(-1, 1))" ], "id": "2930f08244567891", "outputs": [], "execution_count": 6 }, { "metadata": { "ExecuteTime": { "end_time": "2026-10-12T12:39:55.224427300Z", "start_time": "2026-10-12T12:39:54.998335Z" } }, "cell_type": "code", "source": [ "plt.plot(X, T, '.')\n", "plt.plot(X, DTline)\n", "plt.xlabel('x')\n", "plt.ylabel('t')\n", "plt.show()" ], "id": "16c02def20d0be70", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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PERG5pP4xOvSI8EO5xYrPdnL6OnlI4KPRaNCubVtERETU+RiVSoV27dqhefPmjdo2IiJyDo0CjOluL1b4w/4iZJda+FRQg9DASfz9/fHwww/hxhtuQFZWJqKjo5GcnIz7H5iKffv21Xpc3z598MEHM6FSqeHvr8PBg4cwdtx4ZGRkNGn7iYio8VzRJhBxAT7ILTNj4d4CPtTk/hkfkeE5ePAgEhJ7Y8jQYeiV0BtZ2dl47923TxsszZnzEX759Tck9u6DHj0TYDQa8d577zRp24mIqPEEalW4pXOw3J63swBlFi6/Th4Q+Ijszvz5C2TgIpSXl+Pf1WsQHx9f6zGXXnoJQkJC8M4778rzMuiZPh0DBwxAixYtmqztRETUeG7uFIwArRqH8o1YnlzMh5o8o6urUps2rREUFCz/jhs3Bm9XBDU16d69O44ePYr8/BOD3JKStlRc1k1eRkRE7qtFeASuaOMvt+dszwNrFZLHBT7jxo5F33590aJ5c2zenITff/+91uuGhoYiL696HQcRBFksFnlZTbRarTxV0uvt9SCIiMi16FtehomJPtAoW7HV1hMH/MXq67V/JxC55ayuJ596GsOHX4pevRJRUFiAr7/+Ss70qonZZKoWxAg+Pj5Qq9Uwm8w1HjP5vknYt3e345S0eWOj3A8iIqo/tS4c/RKvQE9lKyxQ43vlBoQmTJX7iTwq8KlUWlaGWbM+Qts2bdC2bdsar5OaloaoqKhq+8RsMPtlqTUeM33GTHTo2NlxSkjs0witJyKic6HRx6Ofsl5ur8EAZCIGikoNjT6ODyx5RuDj6+t7yr7KujwFBQWOej09evRAaGiIPL9q1SoZ+HTv1s1xzCXDh6GkpASbNm2u8f8RA6CLi4sdJ4PB0Ej3iIiI6stsSEE323a5nYRE+ddmtcBsqPlHLZHbjfEZfdddaN++HZb/8Qdyc/PQrWsXTJnyAL7++htHTZ6AgAAs/v1XTJn6IL75ZiE2btyEZcuXY8aM9/DSS6/IGV6PPvoI3ps+QwY/RETknuI0BWim6GG0+WCf0kkGPXlJb8NSmuPsppGHcVrg8+GsWfjPf67E1VddJWv6pKen47HHn8Bvv50YyGY2m7F16zbk5uY69t199z24956JmDBhvMzmTJv2HL786msn3QsiImoIfaJ18u/2nFKk7n5cZnoY9FBjUGJi472qMpTIIolBzmK8j+j6IiIi53tpYBR6Rvrhwy25+PlQkbObQx78/e0yg5uJiMg76TQKuobbx31uzCx1dnPIwzHwISIip+oV6QeNSkFqkQnphppLkxA1FAY+RETkVH2i7ON7mO2hpsDAh4iIXGJg88YMdnNR42PgQ0RETtMyyAfhOg3KzFZszynjM0GNjoEPERE5TV/HNPYymLgiKTUBBj5EROQ0vSvG92xgNxc1EQY+RETkFP5iGnuYfRr7pgx2c1HTYOBDRERO0StSB7VKwbEiEzJKOI2dmgYDHyIicoo+0X7y7yZ2c1ETYuBDRETOHd/Das3UhBj4EBFRk2sdfGIa+w5OY6cmxMCHiIicVq15a3YZzJzGTk2IgQ8RETU5VmsmZ2HgQ0RETUrvo6BzM67GTs7BwIeIiJpUQsU09qOFRmSVWPjoU5Ni4ENERE6ZzbUxk0ULqekx8CEioiajVKnfw9XYyRkY+BARUZNOY2/mp0Gp2Yqdx5nxoabHwIeIiJp8NfatWZzGTs7BwIeIiJoMqzWTszHwISKiJhHgo0Inx2rspXzUySkY+BARUZNIiPSDWlFwpMCI7FJOYyfnYOBDRERNWq15ExclJSdi4ENERE0yjd1Rv4fdXOREDHyIiKjRtQ3RItRPjRKTFbuOl/MRJ6dh4ENERE3WzbVFrMZu4wNOzsPAh4iIGl2fKFZrJtfAwIeIiBpVoFaFDlyNnVwEAx8iImpUiRXT2A8XGHGc09jJyRj4EBFRo6qczcWiheQKNHABwcHBKCgoqNN1Y2KiT9mXn5eP0jIudkdE5MrT2Dewfg95c+ATFRWF+yffh5EjR0JRAI1GgwVffoUXX3wJJpOpxmP8/f2xaeMG5OTkwFjlOtOmPYdffvm1CVtPRER10SE6EiF+ahhMNuzmNHby5sBn4MAB2L//AM6/YAAKCwvRqVMnfP3VAphNJrzw4kunPfau0WOweXNSk7WViIjOnr7lZRic2A7AT9ir6Q2/Fl1hSP6dDyV55xif7777Hp9+9pkMeoQ9e/bg+x8WYciQIWc8VqPxQWhoSBO0koiI6kOtC0ffxCswVPlTnt+p9EBowlS5nwjePsanUutWrZCdnXXG6y385iuUlZXBarXiiy/m440330J5OSuBEhG5iuFtInCP8hY0sCAZLbEB50FRqaHRx8FSmuPs5pEXc5nA59JLLsGwYRfjzrtG13odm9WK115/A3PmzEVxcTH69e2LOXM+gq+vL555dlqNx2i1WnmqpNfrG6X9RERk70a4s1sIrutQIh+OTeiDTzEWJvjCZrXAbEjlw0RO5RLT2UUAM2PGe3jzzbfwxx/2tGhNxMytd955VwY9wvoNGzB9xkzccsvNUMQI6RpMvm8S9u3d7Tglbd7YaPeDiMib+akVPNU/Atd1CJbnF6aFY7Z1vCPoyUt6m9kecjqnZ3x6907EvHmfYfacuXj7nXfP+vijyUflbK/w8HBkZ2efcrkIjGZ9NLtaxofBDxFRw4rQqfHM+ZFoE6KF0WLDO5ty8E9KMtS622T3lsj0sIuL4O2BT2JiAuZ/MQ8ff/IpXnvt9Vrr9lTW6RFZHZvNdsptiAHSubm5NR5vNBrliYiIGkenZlo83T9Srr6eV2bB/9ZkYW+e/XNXBDsMeMiVOC3w6d69OxbM/wK//fY7Pv/8c0dhQqvVhszMTLkdFBQk6/ZMmfogvvlmIcaPH4fwsDAsXbYMBQWFuHjoUEyYMB5vvvU2LBaLs+4KEZHXGtxcjwcSw6BVKziUb8Tza7KQzWUpyIU5LfC56KJBKDYYMOiiQfJUqaiwEEOGDpPbYtZWWno6Skrsg+Q+/vgT3HH7bXjyiScQFtYMyUeP4u6775GBEBERNQ0xJd1HH4cbYrNwYzv75JE1aSV4Y0MOyizVs/JErkaJiY33qldpQECAHOTcoWNnxyBpIiKqe1HCqMR7MVr5BInYJPct3FuAz3bmw6u+TMhtv79dYlYXERG5R6YnLHEypipvy6DHDDU+sY7GvEMaBj3kNhj4EBFRnWj08eiq7EUbHEQpdHgbj2Cd6kI5a4vIXTDwISKiOjEbUtDbtk5ur8UFOIgOLEpIboeBDxER1e0LozwHPa32wGcj+rIoIbklpxcwJCIi99A7Sgd/tRU5ZVasXf8BTIY01ught8PAh4iI6mRQvH2tw5XHilGWc4yPGrkldnUREdEZ+aoV9IvRye0VKQY+YuS2GPgQEdEZ9Y3WQadRIcNgwr6K5SiI3BEDHyIiOqNB8f7y78oUeyV9InfFwIeIiE5Lp1HQJ5rdXOQZGPgQEdFpnRfjD1+1CilFJhwqMPHRIrfGwIeIiOrYzcVBzeT+GPgQEVGtAnxUSIyq7Obi+B5yfwx8iIioVv1jdfBRKThSYMTRInZzkftj4ENERGcsWshsD3kKBj5ERFSjIK0KvSL85DbH95CnYOBDREQ1uiDOH2qVggP55UgzmPkokUdg4ENERDUaFFfRzXWMg5rJczDwISKiU4T6qtAtwldur0zlNHbyHAx8iIjoFAPi9FArCvbkliOrxMJHiDwGAx8iIjoFixaSp2LgQ0RE1YTr1Oga7gerzcZFScnjMPAhIqJqBsbZl6jYdbwcx8vYzUWehYEPERHVUrSQg5rJ8zDwISIih2h/DTo284XFZsPqVE5jJ8/DwIeIiBwurFiJfXt2GfLLrXxkyOMw8CEiIocLuTYXeTgGPkREJMUFaNA2RAuz1YZ/09jNRZ6JgQ8REUkXtY6Qf7cet6DIyG4u8kwMfIiICPqWl2FIu5bykdgWPl6eJ/JEDHyIiLycWheOrok3IFZJhwkabFV6IzRhqtxP5GkY+BAReTmNPh79lXVyexe6oQz+UFRqaPRxzm4akecEPsHBwXjowalYtWoFjhw+iHVr/8X990+GoiinPa558+b4csF8ecz+fXvw1ptvQKfTNVm7iYg8ja0kBf1tq+X2Ggyw77NaYDakOrllRB4U+Fx55RWw2Wy47bY70LZdB0yZ+iDumXg3pk55oNZjNBoNvpj3GcrKypCY2AeXXDoCffv1xWuvvtKkbSci8iSJwQYEK4UotAViG3rKoCcv6W1YSnOc3TSiBqeBk8yfv6Da+TVr1mLhwm9x2eWX4a2336nxmKFDhqB9+/a4+ZZbkZuXJ09vvP4mZsx4D8//7wVkZ2c3UeuJiDzHJa0C5N/lh48jI+VRmelh0EOeyqXG+ERGRaIgv6DWy3v3TsSRI8lIS0t37Fv9779Qq9VI6NWriVpJROQ5wvzU6BNtHy6w+EA2ynO2Mughj+a0jM/JBgy4AFdcfjkm3Te51utERETgeO7xavtyc3NhtVoRHlHz7AOtVitPlfR6++J7REQEXNxSD7WiYEdOGVKLzXxIyOO5RODTpUtnfDRrFj755FP89NPPp72uSqmepHIMhrbZarz+5Psm4aGHHmy4xhIReQjx6Tm8pb2ba+mRYmc3h8g7uro6deqEr7/6Ej/9/DOeeXbaaa+bmZWF8PCwavvCwsKgUqmQVcv4nukzZqJDx86OU0JinwZtPxGRu+oe7ovYAB+UmKxYxZXYyUs4NfDp2LEjvvn6S/z622944okna7yOr6+vDGyE9evXy+nsLVq0cFw+cOAAmM1mbN60ucbjjUYjiouLHSeDwdBI94aIyD0HNf99zIByS81ZcyJP47TAp127djLoWb78D0yb9rwMcMSp6nicoKAgHD50ANddd608/88/K7Bjxw68/toraNmyJXr27InHH3sUX331tZzhRUREdRPgo8KAOPuYx6XJ7OYi7+G0MT7XXDMSgYGBGDnyanmqVFhYiF4JveW2qPMjavZYLBZ5Xgxivv2Ou/D889Pw668/w1hulF1kL730srPuBhGRW7qouT+0agWHC4zYn2d0dnOImowSExvvVfnNgIAA7Nu7W473EV1fRETe6N2h0WgX4osPt+bi54NFzm4OUZN9fzt9cDMRETWttiFaGfSYLDY5vofImzDwISLyMpdUTGH/N60ERUars5tD1KQY+BAReRGtSsHg5hWDmlm7h7wQAx8iIi8yIM4fAVoVMgxmbM0uc3ZziJocAx8iIi+s3bMsuRheNbOFqAIDHyIiLxGr16BHhB8sNhuWs3YPeSkGPkREXmJ4RbZnc2YZckrt9dGIvA0DHyIiL6BSgItbcFAzEQMfIiIv0CdKhzCdBvllFqxPL3F2c4jcJ/Dp26cPBg8efNaXERGR81xa0c3159FimDmqmbzYWQc+vXv3xqALB9Z62YUDBzREu4iIqIGE+qnRN1ont7kgKXm7Bu3q6tixA44fP96QN0lEROdoWAs91CoFu46X4ViRmY8nebU6r85+55134JGHH4Kfnx8URcENN1xf7XKdTidXUx8x4vLGaCcREZ3jbK4lrNRMVPfAZ9WqVcjPy8ewYRcjKCgQ33+/qNrlRcVF2Lp1GzM+REQupFu4L+ICfFBismJVCgc1E9U58Dl48JA8bdy4EVpfLQ4fPsJHj4jITRYkXZFiQJmFo5qJ6hz4VEpNS+OjRkTkBvQ+ilybS+CCpER2rONDROShLorXw0+jwpECI/bmGZ3dHCKXwMCHiMhDVS5IymwP0QkMfIiIPFCbYB+0D/WFyWrDX8cMzm4Okctg4ENE5MHZnjVpJSg0Wp3dHCKXwcCHiMjDaFUKhjTngqRENWHgQ0TkYc6P1SFAq0amwYwtWWXObg6RS2HgQ0TkYS5tFSj/LksuBiv3EFXHwIeIyINE6zXoGekHq82G5cnFzm4Okcth4ENE5EGGV1RqTsoqQ3apxdnNIXI5DHyIiDyESgGGteSgZqLTYeBDROQhekfpEK7ToKDcgrXpXJCUqCYMfIiIPKx2z59HDTCzdA9RjRj4EBF5gFBfFfpF6+Q2l6ggqh0DHyIiDzC0RQA0KgW7j5fjaJHJ2c0hclkMfIiIPAAXJCWqGwY+RERurkuYL+IDfVBqtmJlKhckJTodDZyoXdu2uP2O23DVf/6DAwcP4vrrbzzt9XU6HTZv2nDK/ieffBo/LFrUiC0lInJdl1YMal6ZUoJSM2s1E7lk4KPVajF37mzMX/Al/lmxAh07dDzjMYqiIDg4GDfedDO2bt3m2F9aWtrIrSUick3+GgUD4/zl9pIjRc5uDpHLc1rgYzQacdHgoXL7ueeePatjDQYDCgsLG6llRETuY1BzPfw0KhwtNGJPrtHZzSFyeU7t6qqvD96fKTNGycnJmPfFfHz33ffObhIRkVNcUrFExZIjXJeLyCMDn59++hkfzZ6NzMwsDB06BK+9+grCw8Mxa9ZHNV5fBEjiVEmvt5dzJyJyd62CfNCxmS9MVpssWkhEHhb4lJSUYOI99zrOz5v3BaKjovDA/ZNrDXwm3zcJDz30YBO2koioaaewr0srQaGRpZqJvGI6uxjkHBISgrCwsBovnz5jJjp07Ow4JST2afI2EhE1NB8VMKR5xYKkyezmIvLIjE9N2rVri7KyMhQXF9c6iFqciIg8yfmx/gjyVSOrxIykzDJnN4fIbbh0xicwMBC7d+3ANSNHyvM33XgjRo26Ru5XqVQYPHgwJk2ahK+/WYjy8nJnN5eIqMkHNS9PLgY7uYjcJOPz048/oH379vDz84NarZZBjpDYu6+szVNZt8dH6yP3//Hnn3j44Qfx/HPT4O/vj5ycHHw4axY+/HCWM+8GEVGTivLXICFKB6vNhmXs5iI6K0pMbLzTynyKGVYi4DlZ1Ro9QUFBMggymaovuqfRaGA2m8/6/wwICMC+vbvleJ/auseIiFzZbZ2DcXPnEGzOLMV/V2c5uzlETaKhvr+dmvERhQjPpLZChfUJeoiIPGF8wrCKbq6lrN1D5FljfIiIqLqEKD9E+GtQWG7BmvQSPjxEZ4mBDxGRGy5I+ucxA8wc1UzkfdPZiYg8nVoXDo0+HnpTCs6LsS9Iym4uovph4ENE5ML0LS9DaOJUKIoaF9t+h0ZZiL35FiQXVp/wQUR1w64uIiIXzvQ0TxyHEcpitMIhDFRWyf0bgu+SARERnT1mfIiIXJTo3hqq/Ikr8ItjXzm02Kj0R2jCIJRlbYClNMepbSRyN8z4EBG5KLMhBaG23Gr71qM/yqCDolJDo49zWtuI3BUzPkRELjiQWQQ9IpvjW7ANCAF+wLXIRhR2oLu8ns1qgdmQ6uzmErkdBj5ERC44kNlmsyBv89sIsCYB8MXB1EPYHzvCfpnVgrykt9nNRVQPDHyIiFwk0yOCnn7KBvTHv/hYmQAkTEVw2Vh5ecb+35G+bZXs3hKZHo7tIaofBj5ERC5AdG+JbM5wLEYLHEVH7MZmVV8Eae1DMQvKLTLYYcBDdG44uJmIyAWIMT02mxmRyJTntTBCbS2Df8XP0wKjxbkNJPIQDHyIiFyAzOZsewN+KJfnfaxlsOx4W26brTYYTDYnt5DIMzDwISJyEcF5/zi2S/d+DJ9s+/lCZnuIGgwDHyIiFxGj93Fs+1hLEOSrltsF5VyNlKihMPAhInIRMQEn5pto1QqCqwxsJqKGwcCHiMhFxOpPBD6+KgXBzPgQNThOZycichHRVbq6tGoVgn3t2xzjQ9RwmPGhsyqw5hveS/715P+TyFliqmZ8NEqVGj4c40PUUJjxoXqX0jck/94oaxNV/T+jEu+FSfFv8P+TyNXoNApC/OyDmQWtSoG/RpHbzPgQNRwGPlTnUvo9lO3oiD3YpPTBoYQpKMvacM5VZCsDKr1SihjbMYQcnYdo8z60DNGjVbNjCFLuQzJa4lNlnCzf3xD/J5GrZ3sEX7WCAGZ8iBocAx8684tEHw+dUo6xmCWLqw3DUqSo4vF7+3As2328ToXVasrqiH0tE8fgQeUZxCAdED9uW4pLgiqOKpL/tkQynsRz+EF1Hb7WxzLwIY8UG3BifM+JWV32DFAhZ3URNRgGPnRGIlgZaPsbfko5ihEALcoRjxSMbwfc3ioeK1JKsPhwEQ6UBdXaZRWfOA5WxRelNq2jy0pct4NywB70ADiOMKQjFgeO7cORvEKUdH8OJUoQbsJ8dMN23ICv0LGLBW9tUCMPoTX+X0TunvEpM1vhp1HJwCfIt2KMj5FjfIgaCgMfOrOyHAw2LRKLB+F7XI8ka090T3kFQ4OPolWwFpe0CpCnY7Z4LFGuwAZbH0dwI7I6zRPH4XnlvzBCi1eVpxxdViJo0dkMMtOzFb3wAe6HzWpB+o5bZDCjNy1CaMJUzFBNwYXWP3GtbQF6hqsxc3gLfKUeg43KBRz7Qx5Xwye50ISOzXzhp1EQyDo+RA2OgQ+d0YA4f4Rrzcgvt+HX9d+jtHgG9pXm4DsAnZv54vJ2YRgY54/mSgrG4CNsU3rJgEUENyIr01fZCD0M8jQRM/Cm6nFo9HEoz9kKpC4B4oES+MugJy/pbUcGRwRO9tuIw9eGVPytzsfD/aLRMQQYhzlojWQsVG52/F/M/JAnVG2uDHzC/DRQKfbBzUXM+BA1GE5npzO6pr19zM0vBwtQnL2tWoCxO7ccMw5F4gnljYoXlA0amKCo1DJgEVmd/rbVjuu3whHcavsUZkOqPO9j2C//Hk/ZiPQlt5wya0v8XyJAEn/Tis14alsYfsJIWKHgYixDB+x2/F9E7iy6oqsrudAo/4ZWzPAqMlpg4fqkRA2GgQ+dVtcwX3QI9UW5xYpfD9kHG59MBDcGm1+1fSJ7I4KbWE0+WinJsNjUmI2JsNhU6K+sxdXx9g/3AJ+KMQxFWXXK2BgNqfjVdgVWYrA8fwvmQW0tcwRSRO5IvA3CdfZA50iBqdplrOFD1LAY+NBpjazI9vx51IDCWtLtImDJ2/yO47zNanV0WQ1pESD3bcoux+8rvsKcXaXy/F3dQtC3eRQCA5rJ84Y6pvLt/9fb+ME6EoUIQjQyMDD9WXZzkdtne0S3VonJiuxSc7XLuE4XUcNi4EOnXTeof4xObi/aX3jaR6okebFjO/PP8bLLSoxOGNJcL/f9cThPdln9tDdDzgBTKwoe7ROKTpGh8nJTcLc6PxPitg8tGYe5u+1fEKOiMx3dBETuPL4nzWCC8aR+rdp+cBBR/TDwoVpd1S5Q/gpdn16ClOLqv0JPx1KaK/92D/dFpL8GxUYr1qWXOC7/aJ8KB2xt4a+UIhJZcp/SYuRZLUshMj/Ld+/GlqxS+KpVuKenPXNE5I7iQoPl38xSNcpPCnyY8SFqWAx8qEZi7M3wlvZuqh8O1Dy2pzYVE1EwtOL4VakGmKr+aNXFY5ZyH3Jhz/YIZaqAeg1QnrklFyaLDX2idXJmGZG7EXWu2nYaIbeLoq+EJm54tctZw4fIgwKfiIgIPPDA/fhj+TLMnTO7TscEBATg2WefwbJlS/DLzz9hwoTxUCq/aanBXNY6QBZRO5hvxLbssrM+XpTbHxBrD0T+OGo4ZTB0oS0AKzDEsc9g00Eb2uGs/x8x0+ubfQVye0KPULneEZG7EFnOZokPoL1in92YrURD33NqteuwajORhwQ+Pj4++O3Xn6HT6bB//37ExsbW6biPP56DC87vj2eeeRYzZr6P+++fjMcee7TR2+tNROzwn7aBcvuHM4ztqXTybFsxNsjfR4UMgwm7jpef0k2Vv302dthOjOspV3QI7jq+XquwL9xbgNRiE8J0GtzeJeSsjydyFlHnaoCyRlZCL4UO29ALUPlUy5ByVheRhwQ+JpMJ518wEK+88ioyszLrdMz55/fHwAEDMPn+KVizZi0WL14sj58wfpzMBFHDGNRcL4OInFIzVqZUz9bU1cUV3VxiNlhNTPn7kaq0wDE0Rw7CkYdm9a7HI74k3t9iH1d0ZdtAtAvR1qvNRE3NtzwFI23fyu2fcTWKECRLQVQd58OV2Yk8qKvLbK77gFnhgvPPR1p6Ovbt2+fY9+eff8LPzw+9e/duhBZ6p2vaVRYsLIK5HoXTmvmp0SvS77SBj+justpseAnPYhpehAUaR+2f+tiSVYa/jxnkbLFJCc04eI3cwk2tLQhUipFmi8HfGOqoXm60WBzXYcaHyIsHN4vusOys7Gr7sirOx8ZE13iMVquV2aDKk15vn15NNesR4Yc2IVq5UOLvh4vr9TBd1FwvA5Ddx8uQbjCfth6P1WqDGT6nLFdRH3O25coZZKLg4mVtmAEk19YyyAdXtrF3Kb+/4RAyVjzqqF5edUo7Z3URNSy3Kn6iUqlgMlevamqxWORJpbZXPT3Z5Psm4aGHHmyiFrq/Ue3tH8TLkotRXG0qVt05avfUku2pVHUtLpHpOde1tvLKrfh8Vx7u7RWGO7uG4t+0UuSVnfjlTORKJvZsBrVKkbMek1LEa99e2kGo3tXFOj5EXpvxyc3NRWjoiSnQQkhIMNRqtbysJtNnzESHjp0dp4TEPk3UWvfTMjwCfaP9ZRfUj2c5hb1qj5io3SOmmK9MOVG7pzZV1+JqCL8fKsbe3HLofVQY3736a4XIVYjSCyK7KpaCmbs975TLKzM+IvN6cl0fIvKiwGfL1q1o1bIlwsLCHPv69e0n/27buq3GY4xGI4qLix0ng6F+g3W9oZbIzRdeKre3IgGF4dVriZyt9Rkl9c4YnQtrRW0fi80mu9wSKsYaEbkKUephbEVQvnBvIbJKTs1KVgY7HN9D5GWBjxiPs3rVSlx2mb241/Jly5GZlYUnHn9MZnkCAwNlHaDlf/yB1LQ0ZzfXbYkp5F0Sb8R5ylp5frkyAqEJU+s1tbxSbYOam4KoPfTzQXvG6t5ezaBVsbYPuY7rOwbJrGimwYzv9tVcLqIy48MZXUQeFvjM+/wzGdjccP316Nixg9wWJ52f/Ve6CG5at24lAxyhtKwMd905Gn369MaunduxbWsSCgsLMGUKx/Cci2YhsZikTIcWJuxBZxxE+3pPLRcKjTZszLAvRuosX+zKl9PxYwN85BcNkSuI9tfg2vb25SnmbM+F0VpzN5YJ9rW7Cs01j10kIjcd3PzY449Dq/U9Zb8IcISioiJcMOBCZGefmMm1Y+dODB5yMSIjI2U3Vn5+fpO22dP4qIDHOuUiAmpkIwKzMVEsOnHWU8v1LUVWbrfc3uQzFL4tMmFO/h3OUmq24aOteXiyfwSu7xAsp7qnnsV6Y0SNYVyPUGjVCpIyS+Xg+9q6nVWRYoLABhjDB0LfslBOBCAiDwh80tLST3u5zWbDkSNHarwsK+vEDAiqvym9w9E5VI1iswrTVZNhUAWe9dRy0SUWmjgVZtwDDSxYpwxAaEJLOWOroQYt18fqtBJsyChF32id7PJ6ahVfM+Q8iZF+OD/WH2arDbO25Z72vWRSPpXni5UghCaMdfp7iciTuNV0dmpYt3QOxuDmevlB/NKadOwofqheU8tF2X1F0eBL3A5/GHAEraGoFHlbzv6w/nBLLnoMj0GvSJ28ryLzQ+SMZWDu7tlMbovxZ8eKzKd5L6mRCXtdslQ0d3Q7O/u9ROQpGPh4KREE3NrZvq6VmAW1VS5EWlavD1dRhdlms2C1Msix71yqMDekjBIzvtpTIOv6jOseKsceOWO2GXm3q9oFIT7QR9aVWrA7/4zvpaXKZXJ2ZQZiXOa9ROQpXHpWFzWOzs18MSXRXhLg270FWHqkfhWaT67CLD6ghYaowtyQvt9XiKOFRoT6qXFHVy5iSk1LvO5u7mQf0PzpjjyUnGYdmKoVzTMQC5vV6lLvJSJPwIyPl4nWa/Df8yPgo1bwb2oJPt3ZMIPDG7oKc0MS3zMiq/XqoGhc1joAfyQXY2+e0dnNIi8xumsI/H1U2JNbfsZq5q7+XiLyBMz4eJEAHxWmnR+JYF819ueV442NOdUqLp+rhq7C3JB25JRjeXIxVIqC+xLCwNI+1FTZ1YtbBshq6B9uza3z+82V30tE7o6Bj5dQK8AT54WjeZAPskvMeH5NtteVwhdLAxQZLXIR1qva2mtDETXmh+vEnqGOte/2M8tI5BIY+HgJMZ1bzGwqMVnx3Jos5Hrh4p1iscePd9i79sTA7jAdi8NR47mkVQDahfqi2GjFZw3UpUxE546BjxcY1T4II1oHyvWrXtuQg8MF1Ve49ybLjhRj1/EyOeZiQg8uYkqN161cOZB+/u58rrlF5EIY+HgwUQxtUMcuGN3N/gE8Z1ueLOjnzUTn3oykXFisNgyM08vihkQN7bYuwXIs3ZECI349ZF83johcAwMfDyXK3p834mVM7WqSA3qXZIXip4qFO71dcqEJPxywLw45sWczuVo2UUNpFeSDy9vYx5DN2pYHLxtKR+TyGPh4aKYnLPF+jFY+hhZG7EA3LAp/+ZxWW/c0C3YXIKvELKf331hRY4WoIYhgWq0oWJViwDZZGJSIXAkDHw8kyt4PVFYjFmkoRgA+xt2wqbT1Xm3dE4kZbWJ6sXBt+yC0CLSvhk10LgbF+6N7hB/KzFbM2Z7HB5PIBTHw8UDa8hT8x7ZIbv+Cq1ECPcve12BdeinWpJVAo1IwKcG+jhJRfYku07Hd7QPmF+4rRHap982cJHIHDHw80LUtzAhSipBhi8YKXORyS0i4kllbc+Wv827hfhjWQu/s5pAbu7FjMMJ1GmQYTPhuX4Gzm0NEteCSFR4m0l+Nke2C5PbszUeQYXiUZe9PQ/wqn7+7QP5SH9M9FOsySlFk5CKmdHZi9BpZNkK+77blgevgErkuZnw8zF1dQ+U6XFuySrE2OZNl7+vgxwOFOFxglNOPx/SMhm94Lw4Ep7Myvof9fbcpsxRr0727ZASRq2Pg40E6NdPiouZ6uS6QWJ6B6kZMN56ZZB/ofElzH5w/6G7EjFggSwIQnUmfKD+cF+MPs9WGjyoGzBOR62Lg40HGdbcP0F2ebMAhL67OXB/7SgOx0nah3L4Lc9FMKUBowlRmfui0NCpgQg/7++6nA4VIKTbzESNycQx8PMSFcf7oHOYrB+rO28V1gepTAuAH5XrkIBwRyMaDeAXhqjyWAKDTEuPp4gJ9kFtmxoI9HNBM5A4Y+HgAHxVwVzf7NNpv9xV65QKk58psSIHBpsObeAxZiEQEcvCQ7RVE2NKc3TRyUc381LipovjlJzvyUWpmiWYid8DAxwNc1TZIViDOKTXj+/32pRjo7Iip/nmb30auNUQGP6IUQDMlFy/20yI+gJMf6VRjuoVAp1Fh9/Fy/HXUwIeIyE0w8HFzwb4qx5ILn+3MlxWJqX4Myb8jfckt2L/if3j0z4NygUlRl+WVQdGs7EzVdAnzxZAWAXIigagAzncdkftg4OPmbu0cAr2PCgfy+KuzoTI/5TlbcbwgB0+szMShfCNC/dR4ZVAUWgdzWQuyf2iK9biEpUeKcSDfyIeFyI0w8HFjzQN9MKJ1gNwW6wLxV2fDKjRaZfCzP69c1vh5+cIotAvRNvD/Qu7msg7RaBuiRbHJJrOsROReGPi4sbHdQ+Qq0P+mlWB7Trmzm+ORik1WPLUqU47jCNSq8eLAKHQMZfDjraLaDMcdXe3Znl80N8MSc6mzm0REZ4mBj5tKiPRD32h70bRPWKywURlMNvx3dSZ25JQhQKvCCwOj5BiPmqh14az87KHEc3t1z84IUAxIRRxWKBez1hORG2Lg46ZP2riKVaB/OVSENAOLpjU2MVX5mdVZ2JpVBn8fFf43IBI9wqsHP6LSc8yI+Ygc9AYrP3sgjT4O/ZT1cnsZRsAKNRSVmrWeiNwMAx83NLxVAFoFa1FktODL3Sya1lTEjLnn1mTJ9Zj8NCpMGxApM2+V2YCOibfgXWUynscTGKEsRsuE0XI/s0CeobkqHTFIhwkabEGi3GezWuQiwETkPligxM3oNApu7xIit0XQI8agUNMGP/9bk4Unz4tAvxh/PHt+JF5cl41t5nh0VPbBD+XwQxauwXe4SvUDki5sjbX6G7BL6SnXBBO1gsS0eXI/F0aK2Vs6bLP1RJmik0FPXtLbciYgEbkPBj5u5roOwXJ6dWqxCb8eKnJ2c7ySiDVfXJuNx/pF4II4fzzVPwKvJaUj0FYAKMARtIIZGrTDAfQJyEIfzEAuQjFTeQBImIqyrA38snQzCoCL4vVye/Hm1cgyHJSZHgY9RO6HXV0uqLaukQidGte0D5TbH2/PAyvkO4947F9Zn40VKQb4qBQ8luCLXmVL5WW70A2vWx/DI4cHYBkugQF6NEMeemArx4S4qa7hvojw16DYaMX6Y5my1hODHiL35NSMj1arxbixYzBw4ECUl5fjp59+xg+LFtV6fT8/P3z15fxT9r/73nT89dff8ARigGxo4lQoiho2m6Va18idXUPgq1Zhe3YZ1qaXOrupXk90Xb2+IUfOrBvaIgAtdfbnpNAWgPwds5Ge+hcKWy2AVjHhIvwFNSwcE+KmBje3Z3tWpxlgZu8ykVtzauAzc8Z0dO7SGa+/9gaCQ4Lx+uuvIjo6Ch98OKvG66tUKvTr1w+PPPoY9u/b79h/8NAheAKR4emXeDmuVV7CjxiFPUpXOV1WdI209SuUJfIrixWSa7DagPd2KvBtPgADlNVyX7ESjJBu41Ga+pcMXC2J0bKvRGUzc0yIG9IowMA4f7n997ESZzeHiNw18ElI6IUrrrgcl1/xH2zZskXu8/X1xSMPP4RPP/0MpWVltR67e/dubN6cBE8TERqLCcosBKEIYzAbz+F/MKgCodHHYmwXtbzO8mSWyHc1Kn08vlBGowhB6IKd2IPOji4tka0rbBYLtPZByaFFMCSnO7u5dJZ6R+tk8crjpWbsyK79c4mI3IPTxvgMGjQIWVlZjqBHWLJkKQICAtC7T+/THvv444/JLq9XXnkJ3bt3h6c8Efe3y5VBjxCEQtyE+bJrpG9AJrqF+6HMbMXnu1gi39WYDSlyscpFuB4vYRqKEVStS8tismcJFAu7J91R5aDmf1JKwF4uIvfntMAnPi4OGRkZ1fZVno+Ljav1uO3bt2PRD4swe85cWMwW/PLzjzJzdLpxRCKYqjzp9fYPMVdzfccg9AxXo8yiYK51LCxQoS/Wo2vKyxjd2Z5m/2F/IY6XWpzdVDqJGOQqurREsCOcPM1ZjAUSVIqYG0TuVj7ivBid3P7nmMHZzSEid+7q0vj4yAHNVRmNRlgsFvhoa14Fu7S0FFf+52qYTCZ5/o8//oRKrcZz057Fr7/+VuMxk++bhIceehCuTCx/IFZZF95Pysbf2e8hqGszXN+iHPc1PwyVYkOBLRi/lXUSeTFnN5dqILq0xFgs0b118jRnMQ5IUDPucTv9Y/xlscqUIhNXYSfyEE7L+OTn5yM01L7sQqXg4GCo1Wp5WU1sNpsj6Kn0zz8rEBsbi9BQe+BwsukzZqJDx86OU0JiH7iSAB8VHukbDrVKwZ9Hi/HHUYP80vxydy5SbHEy6BF+VEbBv+dDp0xxJ9chnreapjlbbPbnUDzH5F4uqpjN9TezPUQew2mBz44dO9CiRQsEBQU59vXq1avisp11vp2IiHCZJSovF1VVTyWySMXFxY6TweA66WoRxDx4fhtE+muQWmTC+1tyT1yoi8dnyjiUQ4tDaIs1GMAaMG6qMuPDuMe9BPuqkFixJMk/Ka7zuUFEbhr4iIHMIhARXVGCRqPBpEn3YO3adThy5Ijc5+/vj0U/fIchQwbL88OHD0O3rl0dtyECp3vvmSi7vEpKStyuXs/NI8bhvHATTDYN3j3WQS6EWXXA7FFbPJ7AG3gLj8IGFWvAuClLReSj5hgftyKmsIss3b68cqQVcyFgIk/htDE+IuiZcPdEfPD+TPznP1fKQceZmVm4867RJxqn0ci6PREREfL8sWMpeOXlFxEXF4eCgkK0adMav/++GE//979wJyLT0ytxJK5TXpPnv1NuQEGnIVAn7zgxILZiwKxY4kBMjea6QO6f8dH4NYNap7Dir5sVLfz7KLM9RJ7EqQUM//13Dfr0PQ8dO3RAudGI/ftPFCWsDI5GjhzlKFC4Z88ejLzmWkRFRSEsrBmOHj0mr+NuQoJjcbcyCz4wIwmJ+BsXQ1EpcmBs1fEhpxswS+5DHSIGpWdCH52ImBFjuVCpG4jy16BLmJ8sU7Ai1b2yyUTk4ouUisHKO3bWPKbHarVi/YYNp+zPzMyUJ3ckhrc+0P44wqBBFiLxGcbIvVXrvlQlgh0GPG6+7lr8EABfoTmOIkI5LrN4VnMJjLk7+dy6qIua20tIbMsuQ14ZS0gQeRIuUtrEbuoUjN4RGpRbFXxovQdl8Gc3lgfT6ONxRGkLEzSIRRqewX9xhepXRJ/3BGJGLJBjvciFu7k4m4vI4zg94+NNxAyRWzoHy+0Zm7OxMftRdmN5ODFI/bCtFV5QnsNN+AKdsRtXYRF6YTNeV550rMXGrJ7raBXkg5ZBWpgsNvybxm4uIk/DjE8TdXfEx3XHI/0iZfXe3w4V4c+Kej011X0hz1E5SD3DGol38TDm4G4UIwAtcBRX4EeWKHDhbM/6jBIYTCdmWhKRZ2Dg08hEV0bzEZ/hifPCEKRVcMDgh4+2VanXQx5PDFJPX3ILctY+jw22vvgc9pmLw7EE8dZDNY7tIueNwTtRtJDZHiJPxMCnkTM9oYlTcIuyAK1wGMXQ42Pds7D6svqyN2Z+StNWIG/zW9hq7YGN6As1rLil7A3Yypjxc6XlY0RBUYPJio0ZXFSWyBMx8GlEYhr6jco3GIBVsELBJxiPXFWU3E/enf2ZuWYviow2tPEvw6j2J6qXk3NVZnvE2B5jZQEmIvIoDHwa0S1xWRiK5XL7c4zBTvRg9WWS2Z+s9O2Yve24/XXSORixes4zcDaNAlwYZ5/GztlcRJ6LgU8jTlu/rq1Wbs+33oq1GMBp61SNWJB2U2YpfNUqTE4Mk+NLyHkSonQI8lXLuj3bssr4VBB5KP7MbASi6+L2LvbV4mdvy8XPqR9Bo/+V1ZfpFDOSjuODYbHoEeGHS1sFYPER96tE7mmzucSCpFZnN4aIGg0zPg08mPnq7p0wtnuoPP/5zjwsOlDEaetUq6wSCz7fmS+3x3QPRZifmo+WE+gDwtE/tiLwYdFCIo/GwKcBp61fN+IeTGhvnwnyXXo4vt5b2FA3Tx7s54NF2JNbDr2PCvf2aubs5njle/eS4Q9AxJxZtgikBg11dpOIqBEx8GmgTM8liRfgNmWePL8cl2Bp1EtyP9GZiG6Vdzcdh8lqQ/9YfwysGGBLTVVyYir6Kevl+Q1Kf4QmPMj3LpEHY+DTQOsx5SvhMEKLfzAY3+JGKCoNp61TnR0tMuGbvQVye2LPZgjU8q3ZVO9dRVGhPfbJ80nozWraRB6On64NtB7TfltbvIRp+Aq3nXa1daLaiMAnudCIUD81xlWME6PGf+82s2VBhzKYoUYaYvneJfJwDHwacD2mTGs4bFBx2jrVi9kKvLf5OKw2G4a1DEBCpB8fySZ47wYffF9upyMWFquCvKS3uX4ekQfjdPYGrMgrVtkWVZlFpocLj1J97Mk1ysHOV7cLwn0JYZi0PA1lFlYQbkyxxu0AQnAgMwPpm2/he5fIwzHj04C42jo1BDG9PdNgRrReg9u72utBUeNpHeQj/x7MzGTQQ+QFGPgQuRiR4RGFDYWr2gaiY6i9Ajg13Ewu3/BejplbrYLtj+/hQhMfYiIvwMCHyAVtzirD8uRiqBQF9yeGyXWkqGFq9sSMWIDIQW/Kv6GtLkVsgL3H/0iBkQ8xkRdg4EPkouZsz0N+mUVmJK7vGOzs5rg9keGJTxyHscocPIoXEaIUokuvUTK4FOtz5ZdzoQoib8DAh8hFFRmt+HBrrty+sVMwWgTax6JQ/STGReEZ5Tn0wzq0wUHciAWIV6XJyw4z20PkNRj4ELmwlaklWJdeAh+VvcuLb9izp1EBY7uFYFqPYoSgABmIggUqJGITLrYtlddJNnCCK5G34OcokYubuSUXJSYrOof54oq2gc5ujluJD9DgzcHRGNXB3lW4JCsUL1j/i2W4VJ6PU+wZn/zWE+T4HyLyfAx8iFzc8VILPt6RJ7fv6hqCSH+u4F4Xl7YKwLtDY9AuxBcF5Rb8b00W3lu1BUeXjMbn63bIBUkrpSotEZowlWt0EXkBBj5EbmDx4WJszy6Dn0YlCxtS7QOYw6J74OkL4mTXoHi8kjJLcd8f6VibXuqot1VWXowFyh3yfBl8kYEYrtFF5CXYsU3kBkTt5veSjmPmxbHoHaXD0BZ6/HnU4OxmuRTRVdUv8Qo5aysUGrkEyGc78/DD/kL5+J28RtduWyfMUB5AOfxghg/X6CLyEsz4ELmJtGIzFuzOl9vju4ci2Jdv36qZnq6JN2Cy8i5CkScHML+Cp/FjivaUoKfq+nrbrd2wHx25vh6RF2HGh8iNfL+/EBfG69E2RIu7ezTDaxtynN0klxAUFIt7lPfhCyN2ozM+wP0wqnzl2nm1rZvH9fWIvBN/MhK5EbFe6bubj8NiteGi5nr0i9bB24mi1ve3P45IZOE4wjAHE2GEb526rri+HpH3YeBD5GYO5hvluBVhUkIz+Hv5ehY3dQpGv0gNjFYFH1jvgQGB7Loiolqxq4vIDc3fXYDz4/wRF+CD0d1CZa0fb9Q3WodbOttr9MzYnI312U/I7i2R6amti4uIvJtTAx9FUXDjDTdg4MABKC8vx08//4J//vmnwY8h8jRGqw3TNx/HK4OicXmbQPyTYsCOnHJ4k2i9Bg/3CZNrbf1ysAh/yFluBgY8ROS6XV1vvvE6HnnkYWzatAnHUlLw6SdzceuttzT4MUSeaHtOOX4/XCS3708Ig1blPV1evmoFT/ePQIBWjd3HyzB7m3dmvIjIjTI+Xbp0xk033YhR116PtWvXyn1WqxVPPvEEFi78FkajsUGOIfJkH2/Pk909cYE+uLlzMD7baZ/u7ukmJ4ShdbBWrqr+0rocmGuas05E5EoZn6FDhuD48eOOAEb45ZdfEBoagsTExAY7hsiTlZht+KBifM+17YPQJtjzV3C/qm0ghrTQw2y14eV12cgtszi7SUTkRpwW+DRv0Rzp6enV9qWm2hcMbNGieYMdo9VqERAQ4Djp9foGugdErkEsxbAyxQC1SsEDYgV3D+7x6hbui3HdQ+X2nO152Hncu8Y1EZEbBz5arS9KS+1r51QSg5XNZjN8fX0b7JjJ903Cvr27HaekzRsb8F4QuYYPt+aiyGhBu1BfXNMuCJ4ozE+Nx/tFyADvr6PF+PmgfXwTEZFbBD5FhYUIDrZPQ60UFBQEjUaDgoKCBjtm+oyZ6NCxs+OUkNinAe8FkWvIL7dizjb7Cu63dglGrF7jcktK+Ib3qvfq5xoV8MR5EQj1U+NQvhHTkziYmYjcLPDZtWs3WrRoUa3rqWvXLo7LGuoYMeC5uLjYcTIYuLAjeablRw3YnFkKX7UKkxPDZEVjV1k8tO+IV5Aw6AHEjFggz5+tCT2aoXOYL4qNFry4NhvlooQ1EZE7BT5Lli6ByWTCmDGjHfV5Jt49AVu3bsOBAwfkPp1Oh4/nzsGAARfU+RgibzYjKRdlZit6RPjhsg7R55RlaQji/x6QOBxPKS/gSTyPNsoRhCZMPas2DWupxxVtAmG12eTaZBkl5kZtMxF5Nqflw/Py8nH//VPw3nvv4LIRIxAUHAStjw9uve0Ox3V8fHwwYsSlWLxkSZ2PIfJmmSVmfL4zHxN6NsOYriE4pjyNPFuQXIlcLMrZ1FqGx2C88hFUco10G8bgI7yomnbaxUOraheixaReYY5q1Zsyy5qg1UTkyZw6EGDJ0qXo268/evXsiXKjEZs3b5YZnUolJSUYM2Yctm/fXudjiLzdb2m+GNajNdooh3Ez5uEDZbLMspRlbWiyqsYioxMcHIvHuxbCHzYcRFuEIB8RyMaNtnl4+QyLhwpBWhWe6h8BrVrBuvQSfL2n5nF8RERutUhpYWEhVqxciXXr1p0SwIjZWiLbk5qWVudjiLydSh+PL5TRMEONntiCy/EzFJVaZlmaghjDEzdiHp68IA5x/jbkmP3xgfVefIwJsNoUnK+sxcCwktPfBwV4rF84Iv01SC0y4Y0NOTJnRER0rlxr6gcRnTOzIQWpthgsUG7HHfgUV2ERMqyR+KUOWZaz/dUU7KuSM60qT2EBQYjvEI145S10wD6UQ4sPVA/jwD9P4pBah69iynFLey0mJYRhT65Rds3V5I4uIegVqUOp2YoX12XLQo1ERA2BgQ+RhxHdWWJMz+qEqYhRpWE4luIuzMaeYBWO6HvJwOh0XV46jYJQ3xPBTOWpmfjr2K9CsK8aaqWmuWN/OrY+wXikqlpBpdahPGcrvjwO9AyNQtdwPzzSNwyPrsiE9aSY5oJYf1zf0V624p1Nx5FcyKwuETUcBj5EHkgMZBZjembpYxHSyYy+kRo8c3405ioToLWVQpO8EHrDrhOBTZVARyeK5tSRmGlVUG6Va2bllVuQZ9LAFHcVipQQHEA7HEVr2KwWmCuyTSLIeX1DDmZcHIvOYX64uVOwHLRcqXmgBlN72wczf7evAKtST98lRkR0thj4EHkokdUpLc3BG1vD8dawlohTUvEQXoUs8NNKXMO+9ENNRBeTWANLBDT5ZRb7tghsKrfleSsKyi2nZGz0LZMRmjBKjisSQU9e0tvVMkzZpRbM3HIcj/WLwI2dgrElq0wuPSEyTU/1j4S/jwpbs8rwqZcsuEpETYuBD5GHM/nG433lAdyHt+GPEhQgGIUIRmbGXuQUZCOv9NSgpuwcCgRWZpvEYGqR6ampW21FSgl6RxVjWMsAPNw3HA+sLseUhBA0DzQhu8SMVzdknxJQERE1BAY+RB5OjOnJsYXiOeVFxz6RiUlPugWW0sbJqohg50xT58X6Yl3CfBEb4IPpw6IQrhyHyabBW8mtUVDesAOxiYhcZjo7ETXNYGcR7Ag1dT85Q6nZhje3mWGxqWXQI3yl3Ibcjk86tdo0EXk2ZnyIvEBdup+c4bA5Ft8rl+JafI1/MBSrMQiKCnWu7ExEdLYY+BB5ibp0PzmjG2657WKsUS5ACQLkvqqzwIiIGhq7uojI6d1wBqvOpbrhiMhzMeNDRE7lqt1wROSZGPgQkdO5YjccEXkmdnURERGR12DgQ0RERF6DgQ8RERF5DQY+RERE5DUY+BAREZHXYOBDREREXoOBDxEREXkNBj5ERETkNRj4EBERkddg4ENEREReg4EPEREReQ2vXatLr9c7uwlERETUxN/bGm994JI2b3R2U4iIiKge3+PFxcWoLyUmNt4GLxMVFQWDwXBWD7IIlBIS+5zVce7Im+6rt91f3lfPxefWc/G5PfXxyMzMxLnwuoyPUN8HTXwxnkuU6U686b562/3lffVcfG49F59bu4b4nObgZiIiIvIaDHyIiIjIazDwqQOj0Yg333xL/vV03nRfve3+8r56Lj63novPbcPzysHNRERE5J2Y8SEiIiKvwcCHiIiIvAYDHyIiIvIaXlfHx9fXFxMmjMfAgQNQXl6On376Gd9++905H1Of220KgwcPxq233IyQ0BBs27oN02fMRH5+fq3Xj4yMxJ133I5evXqhtLQUq1evxhfzF8BkMjmu8/jjj2HAgAuqHbd9+w48+eRTcKaYmGhMnjwZHdq3R1ZWFj7+5BNs3Lip1uufd955ePrpJ0/Zf+edo5Gbm1vv220KKpUKd915B4YNGybPL1++HJ9+9jmsVmuN1+/bpw+eefa/NV725BNPYfuOHXL7qy/nQx8QUO3yefO+wDffLIQz9ezZU74u23doj2efnYbNm5POeEyfPr0xZvRo+Zret38/pk+fjvT0jLO+TlNr1qwZbr7pRgwfPgyr/12D119/44zHjBgxApdddimio6Jw+MgRfPzxp9i3b5/j8tatW+G999495bhHH30Mu3fvgTNfx8OHDcPNN9+EsPAwjBp1XbXPmpq8++7baNOmTbV9S5YsxYwZM6vtGzXqGlx99VXw8/PDv/+uwaxZH6GsrAzO1K5dO9xx+23oldAL77//IRYvXnza67/91pto177dKfurft5eddV/MH78uGqXW8xmjLzmWjjThRcOxMirr0Z883ikpqRi3hdfIClpy2mP0fn5YeLEu3H+BeejtKQEixb9hB8WLTrr65yJ1wU+H7w/E+3bt8Mrr76G4OBgvPTiC/LDYsbM98/pmPrcbmO77LIR+PCD9+UH5959+zDp3nvw7cJvcNnlV9T44RIaGoJFP3yPr7/5BrPnzEVoSAgeffRhDB58Ee68a4zjem3atEZmRibe/+ADx76iIucW/xOP+c8//YgdO3bKdl1w/vnyvl53/Q21Bini/nXp3BnX33Bjtf1FRUXndLtN4YX/PS+f3+f/9wJgA6ZNewZt27bFU0/XHNyI518EDFWNGzsWQ4cOwYGDB6sFGDPf/wD//vuvY19aWjqcacqUB3DpJZdg0Y8/4qabbkRQUPAZjxEBjXieZs+eg2+/+04GTT/9uAjDhl+KgoKCOl+nqbVs2RLffbcQPy76ERqND9q0bn3GY5555r9oHh+PxUuWyOKsl19+OZYs/g2jrr3O8UXj7++P3omJuPmW21BUVOg49ujRY3CmL+Z9LmctHT16FJdcMlwGQmci3rNr166r9mWXk3O82nXumXg3HnxwKp57/n/yR8zjjz2KxMQE+aPGWa69dhTun3yf/CF56623ICIi/IzHfDjrI+j1/o7zgQGB+OKLz7F8+R+OfSJoD2sWhvsmT3bss9mcO2fp7rsnYMjgi2RQ8v0PP2DgwIHyvTV27HgsXbas1uPmzJmN2NgYvPb6G4iIiMAbb7wmA+I5c+ae1XXOxKsCn969EzFixKUYcdkV2LZtm+MD4bFHH8Hcjz+RGY76HFOf220KTzz+GL74Yr4j+Nq0aTM2b9qAkSOvxsKF355y/cLCIgweMrTa1O6s7Cws/OZrGewcOnTYsT/neE6dfnU3ldGj74JWq8X4CXfLoO7PP/+S2YGHH3oQN918a63HiQzJ6e5HfW+3McXFxeH222/D+PF3yy87wWgyyiB35vvv1xioFBYWVruf4gum33n98MOiH095fR4+fNilntu5cz/GO++8i2ahoXj2mZoDu5M98sjD8rl68aWX5flVq1bL1/6dd96B996bXufrNLWMjAxccMFA+R787LNP6nTMG2+8iZKSEsd5cT+6de2Cu+6685Rf2Nu3bUNuXh5cxd0T75E/NK644nKMGze2zselpqbV+hoVGZ6pU6fg1ddel59/QkpKKhb//qvMfG7Y6Jx1GkVW6rvvvpfbjz7ycJ2O2bt3b7Xzt912qwxqvv76m2r7RSbLld6z8+Z9ITNslVav/ldmHceNH1tr4HPBBedjyJDBGDJ0mON+BwUG4qEHp+Lzz+fJ90RdrlMXXjXGR0Sd4hdRZXBS+WIUa3+I4KW+x9Tndhub6J4RadWly5Y79olfPiL4ESnImlgsllNeOAaD/QPVx0dbbb+4z+LX8qxZH+COO26v0y+1xjRwwAD8/c8/1TJZ4jno378/NJra43sR1Hz++adYMP8LPPPfp+Wvp4a43cYkuhlFwPbX33879olfgOIDccCAAXW6DZHFi42JwYL5C065TKSRxXP7zjtv4aJBg+BsVTNwdSGel/P69cOyKh+w4nX999//OF77dbmOM4hu8rOtKVU16Kn6vtWe9J4Vpk9/D19/tUBmpMWPGXd7bitde90ofPftQsycMV129VSVkNALAQEBWFbls098NosuTGc+tw2x1MLNN90kg3URIFcVHR2FLxfMl59l4kdZYGAgnKmkhtdkiXxN+tR6jPhOOXbsWLVgb/GSpTLr3rNHjzpfpy68KvCJj4s7ZZ2uyhdQfFx8vY+pz+02tsr/9+R2ifNn0yaRmj148CD279/v2FdYUIjvvv1O/ipeuXIVHrj/fnzySd3TjI0hPj5Odr+dfF9FYBN1UjBTSQQKv/76GxbM/1L+WujYsSP+/usPNG/e/Jxut7GJ15sYpyW+JCuJbdE9Iy6r6weo+DKoHNtTSXR7iV+T4rkVv6rF83ry+AF3WIRYPD8ZNb724+p8HXclunTEWMPFi+3ZwEoiqBPd2B/NnoOgoCAsX7ZUBgnuJj0jQ445e+fdd7Fjxw68+srLeO65Zx2Xx8ef5rOv4jJ31KlTJ/l8zV9Q/ceK1WLBoh9/wuw5c2Qmf8iQIVi+bIl8jl1Fq1atZIC6ePHSWq8jPmtPDugqn8PK560u16kLr+rq0vj4nPJrSvySF5kOjY+m3sfU53YbW+X/azSe+HKsTInWtU2PPPwQBg26EKOuvb7aoNknn3r6xP1dKX5NbZdpZPFrSgRCzlDTc1A5kFFcVhORMVmy9MQbcdny5Vi2dIkcGzB16oP1vt3GVlObTjy3PnUaPCsGzv73mRNfFpWuvfZ6x22vWLlSDh58/LHHZGBYNdByZT4Vj0FNz1vlZXW5jjsSH/6zP/oIP/74E3786SfH/v37D+CWW29znP/jjz8xP3QennrySTlezZ2MGzfB8byJzxvRtTtz5nTMnfuJHCvkU5GJrem5ddbncUO4+eYbZdZKPHdViTFDVe/rX3/9jX9Xr8T4cWPx5ltvw9lCQ0Pw6SdzsWnzZhmc1cZH44PyWj9rNXW+Tl14VcZH/EoOCQmptk+kyNRqNfJq6feuyzH1ud3GVjlz6+R2hYaG1qlN9903SQ5Qu+POu6p14dX0gSIuF9mGLl26wFny8/JrvK/yslpmsZ18P0SgumbNGnTt0vmcbrex1fR6O5vn9vrrr4PZbMYPPyw642OyYuUq6HR+aNu2+iwaV1aX1/65vj9cUVxsLBZ+8xWSkpLwwJSp1S6rKVAWQUOXKq91d3HyfVm5cqXsau/cqZM8n1f53AYHn/IF7K7PrQjGrx01Cl99/fUpMzdPfjxEl1rSli1O/TyuJN5fX325AHl5+Rg9eqz8jK2NeN7EhJOaPmsrn7e6XKcuvCrw2b59u5w1IYKSSgkJCfKvmLVT32Pqc7uN7eDBQzAYDOjVs2e1/T169Dhjm8Tsr6lTHsCdd42W00DPRKfTyfFMNfXrNhXRZSNmJFWVmJAgfwGezQydiMiIavejoW63IYnXm3i8xRiuSqKbTgyor8vrTUyVFuUW6jLmIDIyQv4tKXHOAP36EEGNGAdw8mtfvCcrH5+6XMediFkuCxd+I6emT7zn3tN+wVR9bkucNPGiIUVUdDmXlJY4pnoLPXudeG7FZ3Pr1q3d8rkVxAxOEUR8+eVXdbp+ZESkUz+PKx9zUR5DTJ649bbbz9ieHdu3y5mp4nOs6metsHPnzjpfpy68KvARg1LF7JYH7p/siKLvm3Sv/HJPTk6W+8QD+vPPP+Lii4fW+Zi6XKepiV8BYhqhmJVU+atWzAgIDw/Dt9+emNH11JNP4KWXXnScn3j33XJGhMj0iJH4JxMza+66807HYGYxTkJMrRb/X9XBhE1NfCD06tVTjvivTPlfd921+PKrrx3XETMCxHMrunoEcT/EdMhKovtnxKWXym6Cs7ndprZu3Xo57koEp5XEtti3fv16x75vvvkKN9xwfbVjxRTuDh06nDJOQDj//P5ybEglMQ5GzD7ZsmUrjhw5AlcmspNioH0l8fyI+y5mwAnDhl2M7t27VfviqMt1XFG7tm3l67hzZ3uGIzo6Ggu/EUHPbky4e6LM5tWU5RPjLCqJsSJiSvVPVV7rrmrG9PdkBrpynMt//nOl4zIxjkXM9EtLS8P69RvkvpSUFKxctQr3TZokP58qxyoWGwynjHtyNdeMHIlFP3xX45i8FStWyvt2MvGZXXUws5jx2bNnj2pdnU0tMDBQZnpEN9Qtt9Yc9IjvJfE6rhxw/utvv8vrVz7XojbevfdOlF13lbW16nKdunDfDs96EBmQcePvljV3xEArnc4fqakpMgVXScz2EPUuwsLC6nxMXa7jDM8//wI+mvUhNm5Yh8zMLBn0TJnyIA4fPvElJqLnykFwLVq0wDPPPI2cnBxZpLCqF154CevWrZMfHi1atsC2bVuQkZ4hf2lmZGTKF/fJg86akvjCFzU75sz+SH4Iii8zMXB5ZpU6SiIlKp5bX1/7h6EY2CrqFlltVjkuQFwuakN88ulnZ3W7TU2kusdPmIg5cz7ClqRNUBQFRcXFcuxD1TR4Qq9epwSv4gN0z569cnbfyY4mH8VLL72A92fOkHVRWrVqKT9sn3jy1CKPTUl8MD766CPQqO0fV89NewaFRVNlgdDPPvtc7mvRvDm6de3mOEYUs2vbpg1WrvgbqWlpiI2JxbTnnsf6DRvO6jrOIGYraX21sm3i+RRfDiKNf8cdd8nL/cVs0cREWdNF+O/TT8mpwqI+zw9VvjQP7D+AqQ8+5KjXM3v2LDn112gyyfv62eef4+VXXoUz3XvPRFx2+WWOH2fivttgq1akUnTZVI7jEJ8xEydOwMsvvyQ/f1q2bCEzPKI+UdUxaFOmTMUnH8+V7w/x+Sx+jE6YcHe9Z5E1BPGD4803X3dMuRf3XQTe4j1WWaRS/NhITKw+E1h85ogfJCKTV5Oi4iL8/def8vkPDAyCj48GDz30cLVaP03tgfsny+BLZCC//vpLx/6qr2PxnIjXcbNQ+w9RkUEX5Q1EoHvdtaNk8CRKqDz40Imp/3W5Tl145ersYuxN+/bt5cDfqrVpBJHJEL/wjxxJrla993THnM11nNX3Lyo3Hzp4CKUnVS4VU1rVao2ctSWi565du9TadVa1a0dcV/yCFI9RdnY2XIWYxtqqZUtkZWfLKstViQ9XcX/FB2XV6eki4BPPu+j6qK2L4HS36ywi4Kns7jpw4MApRctEF52Y8VA1IBVjOkSxSXFfT5eijomJkb8uG2IK7rkSYzNEN8XJxP2qrFkkMnHBwUHYuXNXteuI8gSRERE4kpxc632py3WakqiarlIp1faZjCbHDDzRtSyyPXv37pNf6iLoqRzncPKU9pPrwIgfKv46fxw9duysp803BjGDsqZCfmIwdmWQIu6ruC+ie7mSyMyLoEe8BsT4kdqIx0YEGeL2asqENSXR5k6dOp6yPzc3z5FRFa/FuLjYavWXKl//YhJJbfdBfBaIz7byciNSU1OdXsAwLi4OUVGnznqt+joWSYYePbrLumFVn0OxXxQDLi0tqzXTXJfrnI5XBj5ERETknbxqjA8RERF5NwY+RERE5DUY+BAREZHXYOBDREREXoOBDxEREXkNBj5ERETkNRj4EBERkddg4ENEREReg4EPEREReQ0GPkTk1kT5erFGnijZX5VYlFYsvEpEVBUDHyJya2L9or59+mDe559Dr9fLff369cOXC+bLoIiIqCoGPkTk9l548SW5gvcLL/wPQUFBmDH9Xcyd+zFWrlzl7KYRkYvhIqVE5BE6deqEX3/5Wa72bLVacMWVV8FkMjm7WUTkYpjxISKPsGfPHvz8y8/o0qUzXnjhJQY9RFQjBj5E5BF69OiBkVdfjX379uGBB+6HoijObhIRuSAGPkTk9nQ6HWbOeA8LFnyJG268GR06tMekSfc6u1lE5IIY+BCR23tu2rOwWq14/n8vICsrCw8//CgefuhBdO/e3dlNIyIXw8CHiNxafHw8AgICMGnSZDmzS1iydCneeONNXDJ8mLObR0QuhrO6iIiIyGsw40NEREReg4EPEREReQ0GPkREROQ1GPgQERGR12DgQ0RERF6DgQ8RERF5DQY+RERE5DUY+BAREZHXYOBDREREXoOBDxEREXkNBj5ERETkNRj4EBEREbzF/wE9ZLw3x5hltAAAAABJRU5ErkJggg==" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 10 }, { "metadata": { "ExecuteTime": { "end_time": "2026-10-12T12:39:17.357928600Z", "start_time": "2026-10-12T12:39:17.214279500Z" } }, "cell_type": "code", "source": [ "SVRreg = SVR()\n", "SVRreg.fit(X.reshape(-1, 1), T)\n", "SVRline = SVRreg.predict(X.reshape(-1, 1))" ], "id": "7339e2e1183e4a80", "outputs": [], "execution_count": 8 }, { "metadata": { "ExecuteTime": { "end_time": "2026-10-12T12:40:08.592643700Z", "start_time": "2026-10-12T12:40:08.370072600Z" } }, "cell_type": "code", "source": [ "plt.plot(X, T, '.')\n", "plt.plot(X, SVRline)\n", "plt.xlabel('x')\n", "plt.ylabel('t')\n", "plt.show()" ], "id": "e5cd67bfc95c5194", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" 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