247 lines
112 KiB
Plaintext
247 lines
112 KiB
Plaintext
{
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"cells": [
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{
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"metadata": {
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"ExecuteTime": {
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"end_time": "2026-10-11T19:29:58.759319600Z",
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"start_time": "2026-10-11T19:29:50.987723600Z"
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}
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},
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"cell_type": "code",
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"source": [
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"import matplotlib.pyplot as plt\n",
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"import numpy as np\n",
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"from sklearn.linear_model import LinearRegression\n",
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"from sklearn.tree import DecisionTreeRegressor\n",
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"from sklearn.svm import SVR"
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],
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"id": "d3107201cd6b17ad",
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"outputs": [],
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"execution_count": 1
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},
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{
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"cell_type": "code",
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"id": "initial_id",
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"metadata": {
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"collapsed": true,
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"ExecuteTime": {
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"end_time": "2026-10-11T19:29:58.799798300Z",
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"start_time": "2026-10-11T19:29:58.764324100Z"
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}
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},
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"source": [
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"# macht nichts\n",
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"# X = np.linspace(0, 2)\n",
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"np.random.seed(42) # vereinfachte Variante, siehe np.random\n",
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"X = np.sort(np.random.rand(50)*2)\n",
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"T = np.sin(5*X) + X**2 + np.random.randn(len(X))/10"
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],
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"outputs": [],
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"execution_count": 2
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},
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{
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"metadata": {
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"ExecuteTime": {
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"end_time": "2026-10-11T19:29:59.154418800Z",
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"start_time": "2026-10-11T19:29:58.803754200Z"
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}
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},
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"cell_type": "code",
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"source": [
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"plt.plot(X, T, '.')\n",
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"plt.xlabel('x')\n",
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"plt.ylabel('t')\n",
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"plt.show()"
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],
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"id": "57536fd96591e796",
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"outputs": [
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{
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"data": {
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
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],
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"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": "2026-10-11T19:29:59.263294200Z",
|
|
"start_time": "2026-10-11T19:29:59.182689300Z"
|
|
}
|
|
},
|
|
"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": "2026-10-11T19:29:59.502252100Z",
|
|
"start_time": "2026-10-11T19:29:59.268289400Z"
|
|
}
|
|
},
|
|
"cell_type": "code",
|
|
"source": [
|
|
"plt.plot(X, T, '.')\n",
|
|
"plt.plot(line, T)\n",
|
|
"plt.xlabel('x')\n",
|
|
"plt.ylabel('t')\n",
|
|
"plt.show()"
|
|
],
|
|
"id": "2385841bcd2b3130",
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
],
|
|
"image/png": 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m+0ZERP6hVQE3DnI37PtmRwUKqh38U1CzaeEnYWFhuO++e3H5ZZchPz8PycnJyMrKwp13TUVmZmaj240YPhxvvjkDarUGYWEm7Nq1GzdNvBm5ubntuv9ERNR2zu4eibQIHYotdnyxvYyHmoIjcyMyNbt27UJ6xjCMGz8BQ9OHIb+gAK+9Oq3JgGj27Lfxw48/IWPYcAwekg6r1YrXXnulXfediIjaTqRejav6RcvbH20ug8XBZb8pSIIbkaWZM2euDE6EmpoaLP17GTp27NjoNqeffhpiYmLwyiuvyq9lYPP66xhzwgno3Llzu+07ERG1nSv7RiNCr8HuUisWZFXyUFPwDEt5dO/eDVFR0fJ64sQbMa02cGnIoEGDsG/fPpSWHiosW7t2Xe1jA+VjRBR6NKZ4aMM7wm4+AEd1ob93h45BWoRWDkkJszeWgP36KCiDm4k33YQRI0egc6dOWLNmLX7++edGnxsbG4uSkvp9DkSg43A45GMN0ev18uIRHu7ul0BEyhDe5UzEZkyFSqWBy+VAyZppMGc1/jpCge2mQbHQqlVYcbAK6wss/t4dClJ+ny31n4f/i1NPPR1Dh2agrLwMn332qZxB1RC7zVYvUBF0Oh00Gg3sNnuD20y5YzIyt2/1XtauWdUmvwcR+Sdj4wlsBHEdmz5V3k/BZ0CcAcelhMHudOGdjWzYR0Ec3HhUWyyYOfNt9OjeHT169GjwOdk5OUhKSqp3n5hl5X4su8FtXp8+A7379PNe0jOGt8HeE5E/iKEoT2DjoVJroA1P4x8kCI3r7M6sizqb7MqGP7ASBXRwYzAYjrjP07emrKzM289m8ODBiI11L3O/ZMkSGdwMGjjQu81pp05AVVUVVq9e0+DPEUXHlZWV3ovZbG6j34iI2puosRFDUXW5nA7YzQ1/2KHANizJJK+X5nD9KArSmpsbrr8evXr1xIKFC1FcXIKBA/rj7rvvwmeffe7tWRMREYFffv4Rd0+9B59//gVWrVqN3xYswPTpr+Hpp5+VM6fuv//feO316TLAIaLQIoqHRY2NGIoSGRsR2JSsncai4iDUOVKHxDCt7Ea8saDG37tDQc5vwc1bM2fi3HPPwfnnnSd73hw8eBAPPPgQfvrpUCGg3W7H+vUbUFxc7L3vlltuw+233YpJk26WWZlHH30Mn3z6mZ9+CyLyN1E8bMlfKYeiRMaGs6WC0/Bkd9ZGBDZWJ/va0LFRpaR2DKmzSGSDRGGxqL8Rw1REROR/T49JwpBEI95aV4x5uyv8vTsU5O/fAVNQTEREocmkVWFAvLsOc1Vetb93hxSAwQ0REfnV0ESj7G2TXWHDQTNnSdGxY3BDRER+Nbx2lhSzNuQrDG6IiCggiolX5XJIinyDwQ0REflNlygd4k1aWOxObCzkcgvkGwxuiIjIb0Z4poAXWmDjKpnkIwxuiIjI712JV3JIinyIwQ0REflFmJgCHueeAr46l0NS5DsMboiIyC+GJpqgUauwv8KG3CpOASffYXBDRER+MTzZKK9Xc0iKfIzBDRER+bfehl2JyccY3BARUbvrFn1oCvgmTgEnH2NwQ0REfutKvL7AAjungJOPMbghIqJ2x67E1JYY3BARUbsK16nQrwNXAae2w+CGiIjaVXrtFPB95VbkVzl49MnnGNwQEZFfZkmtymPjPmobDG6IiKjdqOr0t+Eq4NRWGNwQEVG7TgHvYNSi2u7E5iJmbqhtMLghIqJ2XwV8fT6ngFPbYXBDRETthl2JqT0wuCEionYRoVOjr3cV8GoedWozDG6IiKhdpCcaoVGpsLfMioJqTgGntsPghoiI2rUr8WoulEltjMENERG1yxRwb38bDklRG2NwQ0REba5HjB6xRg2qbE5sKarhEac2xeCGiIjabUhqnVgF3MUDTm2LwQ0REbW54UnsSkzth8ENERG1qUi9Gr25Cji1IwY3RETUpjJqp4DvKbOiiFPAqR0wuCEiojblmSXFxn3UXrQIANHR0SgrK2vWc1NSko+4r7SkFNUWLsBGRBTIU8BXsr8NKT24SUpKwp1T7sAFF1wAlQrQarWY+8mneOqpp2Gz2RrcJiwsDKtXrURhYSGsdZ7z6KOP4YcffmzHvSei9qYxxUMb3hF28wE4qgv5BwgSPWP1iDFqYLY5sZVTwEnpwc2YMSdgx46dGH38CSgvL0ffvn3x2adzYbfZ8ORTTze57fU33Ig1a9a2274SkX+FdzkTsRlToVJp4HI5ULJmGsxZP/PPEgSG12Zt1uVXw8Ep4KT0mpuvvvoa73/wgQxshG3btuHrb77FuHHjjrqtVqtDbGxMO+wlEQVCxsYT2AjiOjZ9qryfAtuAOAPO7REpb6/KY+kAhVjNjUe3rl1RUJB/1Od98fmnsFgscDqd+PjjOXjxpZdRU8OOl0RKJIaiPIGNh0qtgTY8jcNTAWxC53DckREHnVqFHSU1+Gu/2d+7RCEkYIKb0087DRMmnILrrr+h0ee4nE48/8KLmD37HVRWVmLkiBGYPfttGAwG/O+RRxvcRq/Xy4tHeHh4m+w/EbUNUWMjhqLqBjgupwN2czYPeYAOB1w3MAaX9I6WXy85YMbLq4tQwzEpCrWp4CJImT79Nbz00stYuPD3Rp8nZkS98sqrMrAR/lm5Eq9Pn4GrrroSKlGV3IApd0xG5vat3svaNava7PcgIt8TxcOixkYENIK4Llk7jVmbAGTUqPDwqARvYDN3ayme/aeQgQ2FXuZm2LAMfPTRB5g1+x1Me+XVFm+/L2ufnEUVHx+PgoKCIx4Xwc/Mt2fVy9wwwCEKLqJ42JK/Ug5FiYwNZ0sFngSTBv8bnYjuMXpYHS68sroQfx2o8vduUYjya3CTkZGOOR9/hHffex/PP/9Co31tPH1sRHbG5XId8T1EUXJxcXGD21utVnkhouAmAhoGNYGpbwc9/jsqUa76XWJx4Ill+dhewtddCsHgZtCgQZg752P89NPP+PDDD73N+ZxOF/Ly8uTtqKgo2dfm7qn34PPPv8DNN09EfFwc5v/2G8rKynHK+PGYNOlmvPTyNDgc7pQ1ERG1n5M7heOujDjoNSrsLrXi8WX5KOASCxSqwc1JJ41FpdmMsSeNlRePivJyjBs/Qd4Ws6FyDh5EVZU7tfnuu+/h2n9dg/889BDi4joga98+3HLLbTLYIaLgx0Z9wUNUOV7TPwZX9HXX1yzLqcKLKwthYeEwBQBVSmrHkGqrFBERIQuLe/fp5y1MJiL/Y6O+4GHQqHDP8DiMSXPPPv1iexk+2FyKkHozoYB+//Z7QTERUWON+kQRMetsAotGBTw1Jgn94gywOV14fU0RFu5jDxsKLAxuiMjv2KgveKQnGmVgI9aKenRpPrZwvSgKQAHR54aIQpunUV9dbNQXmE7s6B6K+n1fJQMbClgMbojI79ioLzjo1MDo1DB5exF72FAA47AUEQUENuoLfMOSTAjXqVFYbcdWDkdRAGNwQ0QBg436AtvY2iGpxQeqODOKAhqHpYiIqFnTv0emmOTtRQc4O4oCG4MbIiI6qhHJJpi0auSabcjk0goU4BjcEBHRUY3tGOYdkiIKdAxuiIioSSatCsOTOSRFwYPBDRERNem4lDAYNGocqLBhd5mNR4sCHoMbIiJq5pAUC4kpODC4ISKiRkXo1MhI8gxJsd6GggODGyIiatSoVBN0ahX2llmxr4JDUhQcGNwQEdFRG/cxa0PBhMENERE1KEqvxtAEo7zNehsKJgxuiIioQcenhUGjVmFnaQ1yzHYeJQoaDG6IiKhBY9Nqh6T2s5CYgguDGyIiOkKsQY2BCQZ5e3E2p4BTcGFwQ0RERzghLRwalQrbimuQX+XgEaKgwuCGiIiOwMZ9FMwY3BARUT3xJg0GxBvhdLm4UCYFJQY3RERUz5g093ILW4pqUGThkBQFHwY3RETUSOM+FhJTcGJwQ0REXslhWvTpYIDD5cLf2ZwCTsGJwQ0REXmdWLsC+MYCC0prnDwyFJQY3BARkdeJXEuKFIDBDRERSWkRWvSI0cPudGFpDoekKHgxuCGidqcxxcMQP1ReU+AVEq/Lt6DCyiEpCl5af+8AEYWW8C5nIjZjKlQqDVwuB0rWTIM562d/7xbVqbfhLCkKdszcEFG7EZkaT2AjiOvY9KnM4ASALlE6dInSw+ZwYRmHpCjIMbghonajDe/oDWw8VGoNtOFp/Cv42fhO7iGp1XnVqLK7/L07RMEZ3ERHR+Pee6ZiyZJF2LtnF1YsX4o775wClUrV5HadOnXCJ3PnyG12ZG7Dyy+9CJPJ1G77TUStZzcfkENRdbmcDtjN2TysfqRRAad0iZC3F+yr5N+Cgp7fgptzzjkbLpcL11xzLXr07I27p96D2269BVPvvqvRbbRaLT7+6ANYLBZkZAzHaaefgREjR+D5555t130notZxVBfKGhsR0AjiumTtNHk/+c+IZBNijRqUWBz452A1/xQU9PxWUDxnztx6Xy9bthxffPElzjzrTLw87ZUGtxk/bhx69eqFK6+6GsUlJfLy4gsvYfr01/D4E0+ioKCgnfaeiFpLFA9b8lfKoSiRsWFg43+ndXVnbRbuq4SDI1KkAAFVc5OYlIiy0rJGHx82LAN792YhJ+eg976/ly6FRqNB+tCh7bSXRHSsREBTU7iegU0AiDNqMDzZPbQ/fy+HpEgZAmYq+AknHI+zzzoLk++Y0uhzEhISUFRcVO++4uJiOJ1OxCc03C9Dr9fLi0d4uLtojoiIRK1NODQqFTYVWpBdaechIUUIiOCmf/9+eHvmTLz33vv4/vt5TT5XraqfbPIWILsazqVOuWMy7r33Ht/tLBGRQohXz1NrC4mZtSEl8fuwVN++ffHZp5/g+3nz8L9HHm3yuXn5+YiPj6t3X1xcHNRqNfIbqbd5ffoM9O7Tz3tJzxju0/0nIgpWg+INSI3QocrmxBKuAE4K4tfgpk+fPvj8s0/w408/4aGH/tPgcwwGgwxehH/++UdOBe/cubP38TFjToDdbsea1Wsa3N5qtaKystJ7MZvNbfTbEBEFZyHxn/vNqGElMSmI34Kbnj17ysBmwYKFePTRx2UQIy5162OioqKwZ/dOXHLJxfLrv/5ahE2bNuGF559Fly5dMGTIEDz4wP349NPP5MwpIiJqngidGiekuWsQ52exkJiUxW81NxdeeAEiIyNxwQXny4tHeXk5hqYPk7dFHxzR08bhcPfEEIXD/7r2ejz++KP48cd5sNZY5XDW008/469fg4goKJ3UKQx6jQp7yqzYUWL19+4Q+ZQqJbVjSHU1iIiIQOb2rbL+RgxTERGFolfHJ6NnjAFvrS/GvF0V/t4dIp++f/u9oJiIiNpXjxi9DGzEIpmi3oZIaRjcEBGFmNNqp38vzalChdXp790h8jkGN0REIUSvVuHk2hXA2duGlIrBDRFRCDkhLQwRejVyzXasL7D4e3eI2gSDGyKiEOxt81tWJUJqNgmFFAY3REQhIjVci8EJRjhcLixgbxtSMAY3REQh4tTarM2aPAsKq939w4iUiMENEVEIUKuAUzqzkJhCA4MbIqIQMDzJhDiTFqUWB/45WOXv3SEKrOBmxPDhOPnkk1v8GBER+c/ptUNSv++rhJ2VxKRwLQ5uhg0bhrEnjmn0sRPHnOCL/SIiIh+JNWowItkkb3ORTAoFPh2W6tOnN4qKinz5LYmI6BhN6BwOjVqFLUUW7K+w83iS4jV7VfDrrrsW/77vXhiNRqhUKlx22aX1HjeZTHIV7zPOOKst9pOIiI5xltSve7lYMIWGZgc3S5YsQWlJKSZMOAVRUZH4+utv6z1eUVmB9es3MHNDRBRABsYbkBahQ5XNiSUHWEhMoaHZwc2uXbvlZdWqVdAb9NizZ2/b7hkREflskcxFB8ywOFhJTKGh2cGNR3ZOTtvsCRER+VS4TiXXkhK4SCaFEva5ISJSqJM6hsOoVWNvmRXbS6z+3h2idsPghohI4YtkMmtDoYbBDRGRAnWP1qFXrAE2pwt/7Df7e3eI2hWDGyIiBWdtluVUodzq9PfuELUrBjdERAqjV6swrhMXyaTQxeCGiEhhRqeaEKHXIM9sx7p8i793h6jdMbghIlKY07tGyuvfsirBzjYUihjcEBEpSHK4FkMSjXC6XFiQxeUWKDQxuCEiUpBTazsSr823oKDa4e/dIfILBjdERAqhVgETurCQmIjBDRGRQgxLMiHepEVZjQPLD3KRTApdDG6IiBTW2+b3fWbY2dqGQhiDGyIiBYg1qDEy2SRvc7kFCnUMboiIFGB85who1SpsLarBvgqbv3eHyK8Y3BARKQAXySQ6hMENEVGQ6x9nQMdIHartTizO5iKZRFp/HoKePXrgX9deg/POPRc7d+3CpZde3uTzTSYT1qxeecT9//nPf/HNt9+24Z4SEQWu02sLiRcfqEK1nT2JifwW3Oj1erzzzizMmfsJ/lq0CH169znqNiqVCtHR0bj8iiuxfv0G7/3V1dVtvLdERIEpTKvCmLQwefvXvRX+3h2i0A5urFYrTjp5vLz92GOPtGhbs9mM8vLyNtozIqLgMbZTOIxaNfaVW7Gt2Orv3SEKCH4dlmqtN9+YITM/WVlZ+OjjOfjqq6/9vUtERH5xWu1yC7/u5TpSREEb3Hz//Ty8PWsW8vLyMX78ODz/3LOIj4/HzJlvN/h8EQSJi0d4uLs1ORFRsOsapUOfDgbYnC7ZuI+IgjC4qaqqwq233e79+qOPPkZyUhLuunNKo8HNlDsm495772nHvSQiat/p3ytyqlBuZUtiIsVMBReFxTExMYiLi2vw8denz0DvPv28l/SM4e2+j0REvqZTA+M61S6SmcUhKaKgzdw0pGfPHrBYLKisrGy0cFlciIiUZHRqGKIMGuRX2bE2z+Lv3SEKKAGduYmMjMTWLZtw4QUXyK+vuPxyXHTRhfJ+tVqNk08+GZMnT8Znn3+Bmpoaf+8uEVG7FxIvyKoEB6SIAihz8/1336BXr14wGo3QaDQykBEyho2QvWs8fW10ep28f+Hvv+O+++7B4489irCwMBQWFuKtmTPx1lsz/flrEBG1q6QwLdKTTHC6XPiNQ1JER1ClpHb0WztLMXNJBDWHq9vDJioqSgY6Nlv9heC0Wi3sdnuLf2ZERAQyt2+V9TeNDWUREQWya/pF48p+MViTV43/+zvf37tD1C5a8v7t18yNaMZ3NI0162tNYENEpIRaggm1Q1Lz2duGKPhqboiIqL70JCMSwrQor3Fg2cEqHh6iBjC4ISIKwkUyf99vhp2VxEQNYnBDRC2mMcXDED9UXlP7iTaocVyKe5FMDkkRKbjPDRG1r/AuZyI2YypUKg1cLgdKN85C5c4v+GdoB+M7hUOrVmF7cQ2yyutPsiCiQxjcEFGziUyNJ7ARxHXMoFugUgEVOxjgtIUovVoORa0vsOD0rpHyPmZtiJrG4IaImk0b3tEb2HjIflQDJ6HqwB9wVBfyaPrYeT0jcWXfGO/XFrsTfx3gIplETWHNDRE1m918QA5FHU6lUkMbnsYj2QbiTfU/g/6534xqu9/akxEFBWZuiKjZQ1Iic1O+bS6i+l4jMzYeLqcDdnM2j2QbiNa7P4O+v6kEOZV2rMqr5nEmOgoGN0TU4iLiqgN/IazjWJmxEYFNydppHJJqI9EG9zDgvgobVhxkYEPUHAxuiKjFRcRhaSci78/JUGtMMmPDWhvfOaljGE7pEoEXVhaiwuqU07+F8ho2tSFqLtbcEFHLi4jVGhnY1BSuZ2DjYxf3jsawJBOGJBjl11F697Evqzmy1omIGsbghohaXETMGpu2kxLuTqgbNCpo1UCYzv0yXWZlcEPUXAxuiKhJYsipZM00GdAIrLFpO2IIyhPM6DUqb72N3emC2cYZUkTNxZobIjoqc9bPsOSvlNO9WWPT9lkbT+bGM1OqnFkbohZhcENEzc7gsHC4baWE67y3ReYmqjZzU8ZiYqIW4bAUEVGASIk49HlTXydzw2JiopZhcENEFCBS6w5LqQ/V3DBzQ9QyHJYiIgoQyfWGpdSINrhvs+aGqGWYuaFGG7cZ4ofKa39+D6KQLSjWquSK4AIzN0Qtw8wNHbXVvpgGLGbLNHftIdEXxZg4olXf43BixkiNg1NgSflMWhVijIeaJerVKoRp3et3MXND1DIMbuiorfZj06fKacAZ0WbZNXVJthnbiq1NBkSASq47dPj3aGy2TYROjS5ROnSO0rmvI/XydqxRgx0lNXh5VZFcW4coFLI2nsA+gpkbolZhcEPNarUfFZWK+0eUyAZjF/aKwp4yK+YfcGFxaSIqrZYjAqLDie8heqQcHtzEGtR45sRkdIo6VGtwuF6xBrw6PkWuivz9rgowj0NKlBpR/3/APVvK/b9UzqUXiFqEwQ012Gq/boAiOtKOj8tHmM6AcpsKBrUT3aL1uCUauAHVWOkagcWqvdiL7jJj05AwZykMqALih8qf4QlyBsQbvYFNntkuszP7yq3YV25DVoVNLhx465AOGJFswqQhHTAyxYRpq4tQWM1W9KTMzI3F7oRRq67tc+NZeoGLZhK1BIMbarDVvhhGEtkWEdiUr30Z5w0KF6EPvtVdj7WuITjOtQInqhYhDdk4QfU3TsDfOICO+AVnYxWOg8vpBFQuGSSFO0vxmOtB2E4Mw3Oqh1HiivbW4IjhKGHFwSo8vqygwb/Go0vzcWa3CEwcFIuhiSbMOCUFb6wrxl8HqvjXI8X1uMkqt6FPBwOMWhUi2eeGqFUY3NBRW+2fmKJBvN6IckThH4yCXaXDnzgVf2ICemAnxuAvDMNKdMQB3Ii3sd45CHlr3/B+jzOTKxHR2w7AilsxHS+pHvTW4ITr3LU7IkPTlJ/3VGJ9gQX3DY+XL/z3j0xA79hyzNpYwr8gKao7sSe4iTNqoVapmvX/QUT1cSo4NZrBqSlcL68v7CGyNsCfGA876tYFqLALvfABJuJB53O1J5QLRb/fIAMkz/cYl3KoSqYr9uJqfACVWi0Dn/DaT6aVtqO/eOdU2nHfX7n4eEspnC4XLugVhcHxtY1AiIJccu2wVFa5O+AXxfRChdUBThgkahkGN9SkAXEG9Ix0wOrSYRFO9t4vhp3cs6LcNTnZa2d5H3NUF3tvd4rUyu0dLg1m4VY4oMYoLMME588yK+QZljI3I7gRnC7gk21lMpMj3J4eBy3PYgpy4t8g3uQOZvaW1Z8VyB43RC3HYSlqksiOCH8VhqMiLhxidrcIZkrWTqs3dOWOL9wZnrrGdY6Q1+vKTFgVNQyR6itxBebgItWX2BBViXCd+3FzC9PuH2wuwfGpYegUqcPFvaLw2fZy/iUpqLM2YgiqyuZEQbUYwj2E60oRtRyDG2pynZtRKSZ5+8u1m3HQcZU3mPHMdhLXosdNh4y7ANwi7wvrNAGVu+fLeVPjOrkDnvnb9+Bg8VX4PDwVsd1sOL2TDvePSPA2J2tu5sbDbHNh1oZiWXtzed9oWVyca67/pkAUbPU2OWYbrIeNQZWz3oaoxZjQp0ad1zNSfpr852AVDlTa69XhNNb0T4gZfJu8f1C8AYlhWlRanXI2lHv7DXhjdQ62FFlkgzJPb4/m1NwcTgQ06/KrYdCocduQDvxLthEuo9F+08BzK+1HdORm5oao5RjcUINELcypXdxDRt/srGhR0z91bbHw+NrtRUfjurGL3Qk8tbwABVWHMi0tzdx4zFhXDJvDheHJJoxJC+Nf08dEVi7ljLlIHPuSvBZfU9tNAz9obiC4YeaGKLiCm4SEBNx1151YuOA3vDP7UEFqUyIiIvDII//Db7/9ih/mfY9Jk26Gqna6JPmO6CsjGontKrViQ4HlqE3/6nK5XIjo0AMnpLqDjYX7zEdsV1rjxE97Ko45uBEzqD7PLJO3Jw2OlevzUNsuxcGFUH1LnLED4ozydo7ZfuSwFLsTEwVPcKPT6fDTj/NgMpmwY8cOpKamNmu7d9+djeNHj8L//vcIps94A3feOQUPPHB/m+9vKBHxwbk9IuXtb3Y0XagrhppKN86SAY2HCDbH9k+XSzXkmm3YUlTT4Lar8w4FTVW21i+q8MX2MmRX2hBn0uJf/WNa/X2oeUtxiKwc+c6pXSPQPUYvA3wxfCv+E0Q20oOzpYiCKLix2WwYffwYPPvsc8jLz2vWNqNHj8KYE07AlDvvxrJly/HLL7/I7SfdPFFmdMg3xnYKl4FCYbUdiw8cmXU5nK10xxHZs9Hq5fL69wayNh67S63yIgqBxc9qLZH0ER2LhXN6RKJnjL7V34uOkpVzOmRBOflu+Pf6Ae6AfM6WUm8gU3doiiuCEwXZsJTd3rI3tONHj0bOwYPIzMz03vf777/DaDRi2LBhbbCHoenCnu7p3z/sqoDd1fI3wWiUop9r81GDG/Gt7/r9IG75LbtZP6cp6/It+HO/GRqVCpPTO7CYzIdLcYiARv69alsANLayO7XcVf2iEW3QyMZ9P+w+NExrFcuX1GLmhkjhU8HF0FVBfv31h/Jrv05NSW5wG71eLy8e4eFH9mKhQwYnGGWKXCze52mU17w3wVeA2vhyhGsZ1CoXthZZZIFkU8RLeJ3X8WMye0MxhieZ0DvWgDO7R+DH3c3bf2r+UhwMbHynS5QO53R3D//OXF9Srwtx3bobzpYiUvhsKTELx2av373T4XDIi1pTvzbAY8odk5G5fav3snbNqnba2+B0US/3i+1vWZUtmp5tzvrFe3u45cdGC4nbUkmNEx9uca81dd2AWG/7ejo2DbUAoGMnVrvXqFVyNqFYN62u+sNSXFeKSNHBTXFxMWJjY+vdFxMTDY1GIx9ryOvTZ6B3n37eS3rG8Hba2+DrY9IlPgEjksPkuk3fNTH9uyF1R5USTGpZELnYD6t2/7y7EtuLaxCuU+PmQfXPFaJAIdoWiCxpjcOJdxpY/NWTuREZ1MOnhhORwoKbdevXo2uXLoiLi/PeN3LESHm9Yf2GBrexWq2orKz0Xszm9s0mBFMfkytPPF3et/xg9VGHk47mn9yqVjXmO1bO2t43DpcLJ3UKR3qie4otUaAwaFS4qTbw/mJ7OfKr6hdtC56AhvU2RAoMbkR9zN9LFuPMM8+QXy/4bQHy8vPx0IMPyGxNZGSk7JOzYOFCZOfk+Ht3g7qPSQqycZzKPcPpu33H3iumqULitiZ688zb5c483T60A/Rq9r6hwHFpnyjZuTvPbMdXmQ23WvBkbjhTiigIg5uPPvxABi+XXXop+vTpLW+Li8no/rQtAphu3brKIEaotlhw/XU3YPjwYdiyeSM2rF+L8vIy3H33Pf78NYK+j0kEynE7XoUeNmxDP+ywJh9TG35RALkqtxr+9PGWUjm9XCzvIN5MyDe4FMOxSQ7T4uJe0fL27I3FsIpl7psIbpi5IQrC2VIPPPgg9HrDEfeLIEaoqKjA8SeciIKCQzOkNm3ejJPHnYLExEQ55FRaWtqu+6wkYgq3xmXBbarpSEAhCpCAt503w252L4B5+PCVJ8sjpn2LKcJiJk1DFh0wH/PU7mNVbXfh7fUl+M+oBFzaO1pOE8+u5MKax6Il5wA1bOLgWOg1KqzNq8bSnMY/ABwaljpyyIqIAjy4yck52OTjouvt3r17G3wsPz+/jfYqdIjZL1eWPIgeHcphRhhed07BgbWzj5gV01gbfjFFuO5zbU4XdGqVX4ek6vo7pworc6sxItkkh6ceXsJzprWaew5Q4zISjRidGga704WZGxqeAOHhyehwXSkiBdbcUNs3EBvToVy+2D6/QYV1v97b4Cfx5rbhF12CxcyPzBJrwPzp3lpXLGekDE004eRO7HHUWlyK4diXNLmlduV6UQ+2v6LpLGJ2hbvlxd6ywPlfIgomQdXEj3xHvNFf3c/d9l3MLlq1d99ROxDXDXAaasM/f2/gNc3LrbLj021lsu/NxEGxshbIH7O4gl1zzwFq2Hk9o9AxUocSiwNztx59KP3LzHIsP1h11CCIiBrGzE0I6tfBgLsz3NPpv9xedtSgJNjb8H+dWY595VbZ1O/a2nV8qGWC/RzwJ3HeXdnXXUT8/qYSVDWjIE08g4ENUesxcxNiksO1+L/RCdBpVFiaXYX3N5cqvg2/eC8R2annxibjzG4RWJhVie0BNHQWLIL5HPCnGwbEIEynxrbimnbv2k0Uqpi5CbEViB8dnSgX6ttRUoMXVxXW6yys5Db8mwprsCCrEmqVCnekx4Gtb1onmM8Bf2VJT+kSIbt+v7W+uEX/b0TUegxuQoRGBTx0XDw6RelQUGXH48sKQq6tuyh2rrA65MKg5/Vw904iassX11uHxHrXatvBbCFRu2FwEyLEVGgxY6jK5sRjy/JRbAm9/hliAcJ3N7mH4UQxdZyJC2tS2zmtawR6xhpQaXXig2YO/xKRbzC4CQEX9YrCGd0i5XpLz68sxJ6y+iurh5Lf9lZiS5FF1kBMGsyFNanthoA9xetztpay0zBRO2Nwo3CjU024YaD7Rfb9XWFYUxbavV7EQNz0tcVwOF0YkxYuG/wR+do1/aNlbZvoU/Pjbvc6Z0TUfhjcKFjPGD3uGx4vi2j/dJ2MlT2nyxXARRv9UJZVbsM3O90LFt46pINcpZnIV7pG6XBWd3dN18wNJQix0jaigMDgRqHEbKB7hsfBqFVjk2sgPlddLfoKe9vmH23xS6Wbu7UM+VV2OTX+8toeJES+IAJmjUqFJQfM2FDgXiePiNoXgxuFOr1rBLpE6VFuU+Fd1S1wQtPk0gmhRswUE1NzhYt7RaFzpM7fu0QKMLZjGAYlGGGxOzF7Y4m/d4coZDG4UaAwrQrX1C6t8EmmBWaXsd7jbJvvtuJgNZblVEGrVmFyunvdH6LWEsObNw1yF6l/kVmOgurQm5FIFCgY3CjQZX2iEWPUYH+FDT9m5rJtfhNmri+Wn7IHxhsxoXNoF1vTsbm8TzTiTVrkmm34KrOMh5PIj7j8gsIkhmlwQc8oefvdje5iRrbNb5z4dD1na5n8xH3joFisyK1GhZULa1LLpIRrZcsFYdaGEnBtViL/YuZGYa4fECvXjVqXX41/cqsV0TZfFD8b4oe2WRH0dzvLsafMKqfueqbNE7XEzYPd/3er86qx/OCh/zsi8g8GNwrSt4MeJ3UKl+vYiKUGlEBMWxfT1xPHvtRm09hFdmvGWndx8eldI9E/zuDzn0HKNTzJiONSwmB3uvB2bZE6EfkXgxsFmTjIXRS7IMuM3QroQiwyNbEZU+X0daEtp7FvLa7BL3vczdbuGRaHeC7NQM2gVQOTBrv/777fWY4DlXYeN6IAwOBGIU5MC0O/OIMsjv1oizLWsdGGd/QGNu0xjf29TaXINduREqHDc2OTZP0SUVNEfVtapA7FFjvmbmMRMVGgYHCjADo1cP1A9xTULzPLFbMopt18AC6Xo92msVfanHhwUS5yKm1IDhcBTrIsFCVqSAejBlfUNoAUgXG1na2IiQIFgxsFOK9HlOy0W1htx9c73MsKKIEofi5ZM00GNIK4Llk7rU2LosXsqQcW5clp9IlhWjw7NgkdIxjg0JFuHBgDk1aNrUU1+GOfmYeIKIDwVTvIRRvU3uUDPthcKjvvKok/prGLzJfI4Dw1Jgldo/V4dmwy/rM4D/sqgr+OiXxDFJ2P6xwhi/dFp2tl/dcRBT9mboLc1f1iEK5TY2eJcj89+mMae2mNEw8tzsPuUitijRqZwekWzSUayP2iKdaPEubvrcTOUisPC1GAYXATxDpF6nBGtwh5W6xjw0+PvlVudQc4O0pqZA+cZ05MkiutB7O27hkUCk7vFoEeMXpUWh0yW0pEgYfBTRC7aVCMXH14aU4VNhbW+Ht3FEkUGT+8JE/WVUTqNXKoqk9scAY47dEzSOki9Wpc29/d6PHjLWUyACaiwMPgJkilJxoxItndOOw9hTTsC9SMhNnmwv/9nYdNhRZE6NV4ckxS0DX6a8+eQUp2VrdIRBk02FtmxY+1fZGIKPAwuAnSP9rE2tWHf9hdgRxzaDcOa4+MhJjm+7+/87E+34IwnRpPnJCIwfHBE+C0d88gpRrXyb24qpiV6OQ4MFHAYnAThE7tGiFn8VRYHfhka2g3DmssI6GL7e3zTI6YifbYsny5fpBRq8ajJyTKDJpHargWX57XCW+flopLe0fJQuRQ7RmkRN2jdegUpYPV4ZJDwUQUuBjcBBmTVoV/1Y75i8BG1ISEssYyEkknz2iTTI4IcJ5Ylo9/DlbBoFHjkdGJGJFsko8NTjDKvidpETrZVPGDM9Lw31EJ8nG1CiHXM0hpxLptgvjbs2EfUWBjn5sgc0nvaJkRyK604cfdHPP3ZCTqBjgulwsqlbpeJkf0yvHVG7mIJ59aXoAHRibg+LQwPDwqAc+uKEBMbaYms6QGNocLA+KNGJ0aJi8FVXaZ9dnjxzW//NEzSClEbHpSR3dw88d+ZbZcIFISZm6CSIJJgwt7Rcrb7293QBPHKb3ejETtkIs70FG1eW2J6LT/7D8FWHTADJ1ahYeOS8CYtDD52Jo8C+5flIdbf8uRtRli+DAhTIuRye7HQ61nkBIMiDfIv2Gl1YlVedX+3h0iCuTMjV6vx8SbbsSYMWNQU1OD77+fh2++/bbR5xuNRnz6yZwj7n/1tdfxxx9/QumuGxAjh0K2VIRhX8bbSFRp5Zu5eHMXn8rJzeVyejM3bVlbIppBv7CyUM5YG985At2i3VPES2vcgZZYwuGdjSUwaFQ4u3skNPwoEbROrh2S+jvHDHtojwQTBQW/Bjczpr+Ofv374YXnX0R0TDReeOE5JCcn4c23Zjb4fLVajZEjR+Lf9z+AHZk7vPfv2r0bSjEw3oAbB8biw82lWFdg8d7fO1Yv270L30TcA5VK22bDLsFeUOxyOuGCe6iqrWtLxIyZaauK5BveaV3df5+y2uDGw1E7rUb0JKLgo1XBm5X7cz8LiYmCgd+Cm/T0oTj77LNw1tnnYt26dfI+g8GAf993L95//wNUWw69sR9u69atWLNmLZRG1NI8NDJB1m7cNyIety/I8TYJu6l26vcfeXrsT+re4LBLKAY3DRcUq1G4/DE4rWXtUlsi/kKvrSmSQU16khHr8uufu57lvvxdVEytMyzZJBs4FlXbsanOBw4iClx+S5SPHTsW+fn53sBG+PXX+YiIiMCw4cOa3PbBBx+Qw1PPPvs0Bg0aBCUQf4j7hsd5i1JFoONZv+b41DAMjDfCYnfiwy2lnNLbjCnO1pIt7VpbIuKX9zeX4q7fc4/oWisWVxQ0DG6CkqeQ+K8DVTKQJaLA57fgpmNaGnJzc+vd5/k6LbXx4s+NGzfi22++xazZ78Bhd+CHed/JDFBTdT0iYPJcwsPdL1SB5tI+URiaaJIBjKjjEEMZYurpSR3DcONA99Tvb3aUI7+k4IgpvRU7vkSoCoYpzocyN4xugrH1wnEp7qn+f3GWFFHQ8NuwlFank0XEdVmtVjgcDuj0Da++XF1djXPOPR82m3s67cKFv0Ot0eCxRx/Bjz/+1OA2U+6YjHvvvQeBTLTyF6t7C2+sK8af+81yUcwr+kbj3hHxslaj2GLHl5nl9ab0RvS4CJG9LkVUn8sR2fuSkC0sDvQpzp5OtszcBJ9RKWGyYeOBChtX/yYKIn7L3JSWliI21l1H4hEdHQ2NRiMfa4joX+IJbDz++msRUlNTERvrDg4O9/r0Gejdp5/3kp4xHIEkQqfGv0UAo1bh932VWLjP3UPjk22l2FNm9RahigJjiycFUCuy1yVH9HMJ1bWCAnmKs8MzLMWim6Bt3Cc+cBBR8PBbcLNp0yZ07twZUVFR3vuGDh1a+9jmZn+fhIR4me2pqbE2+LjIBlVWVnovZnNgvUjdPSwOiWFaZFfYZNbGQ8y+mba6SA5TiRWpF2aZ6y0OybWCgocnc8PYJrhEG9TIqF1e468DgfW6QUQBGtyI4mERbIhhI0Gr1WLy5NuwfPkK7N27V94XFhaGb7/5CuPGnSy/PvXUCRg4YID3e4jg6PbbbpXDU1VVwTdF85zukbJ7rehmKxrCHd7SfVepFdf9nI2HFufCdNjikLqYXiwsDhKcCh6cxPRvkW0THadzKkN7cVqiYOO3mhsR2Ey65Va8+cYMnHvuObLQNy8vH9ddf8OhndNqZV+bhIQE+fX+/Qfw7DNPIS0tDWVl5ejevRt+/vkX/Pf//g/Bples3ruyt2j0truRtvxi7aiGernEDLwZZZtmIXrAzXIqeCAW0vqTJ7slZlP5+5gwcxPcjfv+rB0qJqLg4dcmfkuXLsPwEcehT+/eqLFasWPHocZ8ngDoggsu8jbp27ZtGy648GIkJSUhLq4D9u3bL58TbCL1avznuAToNCosza7CvKOsEdXYEJS1JBMHf70qYAtp/UUslOkJBgOhg7O35oaTpYJGUpgW/eOMchr/ouzgywoThTq/L5wpCoQ3bW64xsbpdOKflSuPuD8vL09egpF4f7tveLy7zqbShmmrC1u3OGTtkgIioGFQc0hDWS5RaG0t3wVbSSb8wVMH3j1Gj+RwLXLNHOIIdCd1cnck3lBgQYmlfh8lIgp8XO2mnYnp3cOT3f1snl5egKrD6myCtZdLoGgsy5V08gyZ0fGHzGL3KuFdovR4Y0KKPAe0/M8LjiEpzpIiCkp+z9yEEjHz4qp+0fL2jHXF2FvecJ1NMPZyCRQNZbkEMWXeX2twbS+xYvLCHNw+tINs1Piv/jEYnWrCv//Mg9VTkEMBo2uUTgaiIiBdmsMhKaJgxM+P7STBpJH9bESX2p92V+D3ZhQp1p36Hei9XALF4Vmuhtbg8ofsSjseXpKP5/4pkGtQ9YwxeANdCsyszT+5VTDbGHwSBSNmbtrjIKuBh45LQJRBI6eVvr3hUD+bYCmKDSbiOIkaGzEU5WlyWLdOyZ8WHahCjcOF/41OxEW9orA4u0pO+afAqYk71LiPWRuiYMXMTTuYPDQOfToYUF7jwDMrCmBztq4oNlS7D7eGKB4uWfNyQNYprThYjUUHzLKHyp0ZHdjcL8CWQhHF/mabE6tyq/29O0TUSszctLFJg2NxWtcIOR34xVWFyK86+syLproPB8Kbc7AI5DqlmeuLkZ5olMNTIoPjWTeM/MuTtRG1NqyHIgpezNy0oesGxOD8nu7lJV5dXYTVeZYWFcXWFQhDKsEoUOuUSmucmLWhRN4WtTep4fyc4W9aFXBimnsKOGdJEQU3BjdtREz3vayPu2B0+toi74KYzcGp36FBnBOr86ph0KgxJSNO1nuQ/6QnmWRdnOhrsyG/eR9EiCgw8eNiGxDDDGK6rzBrQzF+3lOpqCEV8h0R+L45IRWDE4w4vWsEftkbfB23lTZLSiySeZSyOCIKcMzc+NjZ3SNwU+2aUR9uLsG3O5teWqEuTv0OPaIG68PNpfL2jYNiEWesX2vVWoefS9Q0o0aFUSkmefsvNu4jCnrM3PjQaV0icPvQOHn7021l+Gx784tEOfU7dM3bVYGxncLRt4NBNvp7YnnBMX0/nkstd1yKCUatGjmVNmSWcGo+UbBj5sZHTuoYhikZHeTtb3aU46Mt7k/jzcGp36HNWVtwbnO6MCo1DGNqi1pbg+fSMQ5JMWtDpAgMbnyksNoBi92FH3dXYPZG9yyY5mpq6jeFhn0VNny+vUzevnVIB7lyfGvwXGqdgfFGec3lFoiUgcGNj2wuqsFdvx/Em+uO3n34cJz6TYIIbrLKrYg1ajCxtm6L51LbSwzTIEynlpmzrBas90ZEgYvBjQ/lmO1ozUo0nPpNgt0JvLamCE6XCxO6RMgmfzyX2l63aL283l9ug4NLSREpAguKAwSnfpOwrdgqC4xF88c70uMweUEOLC18x+W51LrgZncZC4mJlIKZmwASqN10qX2JqeF5ZjuSw7X41wB3v6SW4rnUfN2idPJ6L4MbIsVgcEMUYESmRjT3E87rEYk+se7MwtGwt03rdK3N3OxhvQ2RYjC4IQpAa/ItWJBVCbVKrBweJ9c9Olpvm5Qz5iJx7EvyWnxNR2fQqJAa4R6dZ+aGSDkY3BAFKNFSoNTikJmFS2vXKWsIe9s0X5RejX+PiMeLJyWjg1GDzlE6GUCK9aTEYqZEpAwMbogCVIXVibfWu1sLXN43Gp0j3bUhh2Nvm+YZmmDE9FNSZMO+fnEG3DIkFt2iaoekWG9DpCgMbogC2OLsKqw4WAWd2j081dA/LPskNU2rBm4aGIOnTkxCnEmLAxU2OJwujEkLx/k9I+VzOCRFpCwMbogC3Ix1xaiyOWW24ewe7jfjhvsk1RlWUalgTByBUNcxQouXTk7GRb3dw3qig/idvx/E1zvc676xmJhImRjcEAW4omoH3t3kXtLj+gExsqPu4Sz5K4E6RccqlRqx6VNDelXw07tG4NXxKegZY0BZjQNPLMvHG+uKUeNwYe7WMrlIpgczN0TKwuCGKAj8sqcSGwsscuXqKcOSYYgfUi9wcdfd1P93DtX1ycS6XA8flyCH8cTxWptXjTsWHsTyg9Xe51idLsxY665nqrY75dpeRKQc7FBMFAREj+LX1hZhxoSOyEjQ4tyEi7HcNUoOR4mOxJ66m7oLsLqcDtjN2QglA+IMuH9kPOJNWrlWlGiI+M2O8gaXRVlXYMGjS/NlcCOWviAi5WDmhihI5Dli8IPqQnn7UnyKKJXZO/TE9cmALlE6PH5CogxsRNHwvX/mytqaphavWJlbjU2FNe32NySi9sHMDVGQEENPC1RnYDhWoTP24TLMxTvqW+XQkwhuQnlNqXCdCg+PSpDDUOvyq/H4sgJZW0NEoYmZG6IgIYaeHC4VPsINcECNEfgHg5xr6g09heKaUqKO+t7h8UiL0Mk1uZ77p5CBDVGIY3BDFCQ8Q0/7nB2xAKfL+66wvwWDzb0OVai6om80jksJQ43DiadWFKDcygIaolDH4IYoiIihp4O/XoX3lixFjtmJOL0dNwyMRagakWzCVf3cPWzE7KddpVZ/7xIRhXrNjUqlwuWXXYYxY05ATU0Nvp/3A/766y+fb0OktAxORXUhXlttwLNjk3FW90j8dcAccoWxyeFa3Dc8Tq4N9cOuCizcZ/b3LhFRgPBr5ualF1/Av/99H1avXo39Bw7g/ffewdVXX+XzbYiUaGNhDX7eUyFv35keB736KEuHK2w17/+OSkCEXoOtRRbM2uDuWUNE5NfMTf/+/XDFFZfjoosvxfLly+V9TqcT/3noIXzxxZewWq0+2YZIyd7dWCKHZtIidbiyXzQ+2FyKUDAlPQ7dovVyNe+nVxTCzolRRBQImZvx48ahqKjIG6QIP/zwA2JjY5CRkeGzbYiUrMruwpvr3FmLi3tFoXt0wyuHK8l5PSIxrnM47E4XnllRgGKLw9+7REQBxm/BTafOnXDw4MF692Vn58jrzp07+WwbvV6PiIgI7yU8PNxHvwFRYBDLCiw+YIZGrcJdYuVwBY9ODYw3YOIgdwH17I0l2FwUWnVGRBTgwY1eb0B19aG1XgRRIGy322EwGHy2zZQ7JiNz+1bvZe2aVT78LYgCw1vri1FhdaBnrAEX9oyCEsUZNXhwZIIM4v7YV4l5u9z1RkREARPcVJSXIzraPYXTIyoqClqtFmVlZT7b5vXpM9C7Tz/vJT1juA9/C6KWE8slGOKH+nTF7tIaJ2ZvcK8cfnX/aKSGK6v5uFYNPHRcAmKNGuwuteL12kUviYgCKrjZsmUrOnfuXG+YaMCA/t7HfLWNKDKurKz0XsxmThcl/wnvciZSzpiLxLEvyWvxta8s2GfGmrxqGDRqTMmIk517A4WoBep2DPVAkwZ3QL84AyqtDjy1nEsrEFGABje/zv8VNpsNN954g7d/za23TML69Ruwc+dOeZ/JZMK778zGCScc3+xtiAI1yyK+R2zGVO/K3eLas/Clr0xfWwyL3YnBCUac3jUCgSAj0YhXxqfg1XEp6BOrb/H2E7qE4+zukXC6XHh+ZSFyq+xtsp9EpBx+y12XlJTizjvvxmuvvYIzzzgDUdFR0Ot0uPqaa73P0el0OOOM0/HLr782exsiXxFZFU8w4nI55NIHokPwsSx86QlsPFRqjXfhS1/Iq7Ljw82lmDSkA24cFCtXvS7y42yijhFaPCDqZFQquQjUv0fEY8rvB1HdzLnbPWP0mDw0Tt6es7UMq/MsbbzHRKQEfh2Y/3X+fIwYOQpDhwxBjdWKNWvWyMyMR1VVFW68cSI2btzY7G2IfKGxLItYdbu1gYjTUQWXywmV6lDC1OV01Fv40hdEoe3YTuHo28GAyekd5ArZ/hChU+N/oxMRoVfLRnsdjFqkROhw25AOeHn10dfDitKr5Urfeo0KKw5W4bNtDdfVEREF3NpS5eXlWLR4MVasWHFEkCJmQYmsTXZOTrO3IfKFprIsrc0CJZ08XQY2LpfLG9iUrJ3m8xW8xbKRr60pgs3pkgtKXtm3fhF+exDT0R8cGS+bC+ZX2fHE8gK8sLIQDpcLp3SJwEkdw466/QMj45EYpkV2hQ0vriwE+/QRUXMpa0oFkY/YzQfkUFTdAKe1WZYjs0Aq+b3y/roDtpLMNvmbZZXb8MbaYtw1LA7X9I/B/goblmRX+fyTUbRBLWcweS8GDToYNbJ78KAEo6z/eXxZPspqnCirqcEnW8vk/kxOj8O2YqscRmvItf1jMDTRhGq7e6Vv0ayQiKi5GNwQNUBkU0SNjRiKEhkbEYxU7PjSp1kgtcbUpsd+flYlOkXpcFGvKNwzPE4GEjtKjr5EiUmrkkFKvaDF6A5aDt2vRrRB466lacKLqwqxp+xQdvWz7WVITzRiQLwR/x4Rh/sX5cF5WNxyfGoYLu3jzja9srpIBmpERC3B4IaoEaJ4WNTYRPS4CJG9LkVUn8sR2fuSFhcW+zIL1FLvbSyRRb0jU8Lwf6MS5Gwjo0Yl619EgFI34+K5bRJNZZpJzGASWRmxxlNJjUMuhSBvWxzYUlSDnaX1gykRyIjhqemnpKJfnFEOmYlCYY9OkVpMHeYuIP4qs8zn2SYiCg0MboiOIrLXJd4i4NYUFjeUBWqLWpvG6m9EQPPiScnoGq3Hc2OTm7WdGA7yBCqlltqgpcb9tTeAkUNNjiMyL0dTUO3AjHVFchbV5X2jsS7fIpdREBmjh0clIkynxvp8C94PkUVAicj3GNwQtcP0bU8WSGwnMjaHbyvqcsTPElkeXwc9Ytr1Y8vy8djx7plLJZZDgYsMWKqPDFwsjratcVl0oArDkioxoUsE7hPTwxcelPVBnSJ1KKiy47mVBS0OmoiIPBjcELXTkJIIWhoKXHzdT6ch+VUO3Lag/qKzgbAeVv84A1IjdHh1fAqSw7WwOVx4ekWBHOoiIgraqeBEgcwzpCQCGsHXQ0rt0bU4UImMkqi/sTtdMrAR3lhfjMxmFD0TETWFmRuiYxxSOhbt0bU4kIlA5r1NJbhpUCx+3F2B+Xsr/b1LRKQADG6IjmFI6Vj5cyZVoPh2ZwUWZJlRaeNQFBH5BoeliBQ87BUsGNgQkS8xc0Ok4GEvIqJQxOCGSMHDXkREoYjDUkRERKQoDG6IiIhIURjcEBERkaIwuCEiIiJFYXBDREREisLghoiIiBSFwQ0REREpCoMbIiIiUhQGN0RERKQoDG6IiIhIURjcEBERkaKE7NpS4eHh/t4FIiIiaoP3bW2oHpy1a1b5e1eIiIioFe/jlZWVTT5HlZLa0YUQk5SUBLPZ7Nc/jAiu0jOG+3U/AhmPEY8PzyH+j/kbX4cC7/iIn5mXl3fU54Vc5kZozoFpD+JkOFr0Gep4jHh8eA7xf8zf+DoUOMenuT+HBcVERESkKAxuiIiISFEY3PiB1WrFSy+9LK+Jx4jnEP/P+DoUmPhaHbzHJyQLiomIiEi5mLkhIiIiRWFwQ0RERIrC4IaIiIgUJST73LQ1rVaLm266EeNOPgl2uwO//PorPv54js+3CWaDBg7EzZMmIi01Dbt378b0GW8gKyur0edfdeUVuPKqK+vdV15Wjquv+ReUyGQy4cILL8D555+HgvwC3DHlzqNuo9PpcPPEm3DSSWNhtdrw008/4ZNPP4OSz6Frr/0X+vbriyeffBorVqxo8vnXXXctLrnk4nr3FRUW4fobboQSjR49ChddeCE6d+mMnJyD+GTuJ/hn5comtzEYDJg06WaMGXMCampq8P338/Dll19BiaKjo/Gva67GiBHD4XIBq1atwrvvvY+qqqpGt5k48Sb5P1lXTk4ObrnlNihRzx495P9Yn759UFpaivnzf8PXX38DlzhgjTAZjbj11lsw+vjRqK6qwrfffo9vvv0W7Y3BTRt48cXnccLxx+OJJ5+SLxaPPvIIOnfqhKefedan2wSrfv364ttvv8Ynn3yKb775Fpdfdhnmff8tTj3tjEYbLKakpMBoNOKBBx703mez2aFUfy9ZjD/++EMGcP3792/WNq+/9ioGDx6Mp595BhHhEXj00f8hNTUVL708DUpz26234IILzscXX36Fq6++CrExMUfdJi01FWqVGv/3v/9577PWBN4sD1+4/rrrcPY5Z+Gbr7/Bd99/j+NGjsSXX36O2yffgR9++LHR7d58YwZ69eqJZ597Xr75P/3Uk0hOSpIfPpTm559+xPfz5uHDjz6GXq/HPfdMxRlnnIELL7oYNputwW06deoIh92Ox5940nufCAKVqF+/vnjh+efxxZdfyg/b3bt3x2OPPYqBAwfiscceb3S72bNnITU1Bc+/8CISEhLke1tcfBxmz36nXfefwY2P9ezZE5ddeikuv+JKLF68RN6nUqnw/HPP4q23ZqK4pMQn2wSze6ZOxdq16/Df/3O/yfz11yIsW7oEk26eKIO7xpgrK7FmzVqEgpNOHoeKigr856EH0aNHj6M+f+CAATjvvHNxwQUXeT+d6/Q6PPboI3h71mz5vZTk4zlz8eZbMxEWFobHH3u02dtVVlaExDn0+Rdf4P0PPvB+vWTJ3zKDI/7HGgtuhg3LwBlnnI4zzjwbGzZskPeJ4/vA/f/GO+++h+rqaijJhFNPq5el2b59O5YsXoSRI0fg77+XNrpdWXl5SJxDu3fvwTnnHspSLV26DPHx8bjmmqsbDW6OP340xo07GePGT5DHU4iKjMS990zFhx9+1K5Txllz42MnjjlBtqKu+8/x66/z5SeDUaNH+WybYCZS3r8tWOD92ul0YuHC33HiiWOa3K5bt2747NO5eP+9d3HnnVPk0I1StTQYGTNmDEpKSusNO4hzSGS7xIu10rQ2WOvduzc+++wTvPfuO7hj8u3y+ChRQ0MrZnMVdDp9k+eQyJx6AhvPOSTW8hGBj9KPkTg+QlPHSBgwYAA+//xTvPvObJlBFJl2Jao5LCMlSicyMtKxZcuWJs+h/fv3ewMb4Zdf58ss4JDBg9GeGNz4WMeOHVFQUCjfsD3Kysrkpx7xmK+2CVaRkZHyRM/LrT/8lJuXh7S0xn9Xm92Ob779Dm/NfBvfffc9zjv3XPz80w9yfJfEOZSG/Pz6xzQ/Px92u11x51BriU+NYhj0zTdnYt4PP8j6m3nzvpMfIpQuLS0NF114gRxeaEzHtLQjhoVzc3NrH1P+OXTXnVNQVFSElU3UJdVYavD1V19jxow38dPPP+Oqq67EN19/Jd/4leq5557BTz/+gHXr1sDldOL22+9o8nXIc854eM6p9n4dUu5fxE+0Oi2s1iPHYC2WGuga+QdozTbByvP71Bz2+1osFuh0jf+uYniubkpz0eLFWPr3Ylx9zdXtPpYbiNzn0JEpX1E7oOQX3pZ47fXp9Y6RyJSKc+jyyy/DRx99DKWKiorC+++/i61bt2FGE7UzWp3uiHNInD8Oh0OeX0om6rbERRSXN7W69YuHdeNdtmw5liz+CxdddCE+//wLKNHs2e8iNjYWA/r3k3VJt99+G55//oUGn6vT6lBz2DkkXtuF9j6HlH3G+kFpSSliDituVKvViI6OQkkjtTOt2SZYlVdUyGzC4QWg4p+nqd/18Bdd8Qlr69atGNDMYlulKy0tO+IcEkMuYuhOaedQax1+DolPlJmZO5pdsB2smdK5cz6WbzD/uvY6+b/XGDEb5vBzSGRZNRqNos+hSy+9BE89+QSm3HkX/vjjzxadQ9nZ2dizZ6+iz6EdO3bI63/++QelZWV47dVXMHvW7AZrQUtKS9GzZ48jXtvlY+18DnFYysc2btqExMREOTPDY+jQITJY2bhps8+2CVbixVWMxw4ZOqTe/RnpQ7Gphb9rQkJik9M2Q8nGjRvlzChR8OeRnj5UXrf0uIaShIR4OV1ViSIiIjB37sdycsJVV12DysrKo55DXbp0kQGNR3p6uqLPoYsvvkhO3Ljrrqly2ntLiWMbHx8XMq9D+fn5MtiNjjl0jtS1aeNGOQFCFKJ7ZNSeQ5s3t+85xODGxxYtWowDBw7g7rvvch9gtVqO5W7atEm+eHiIsX4xu6Ul2yiFmAIuamZEDwVh1KhRGD16ND759FPvc0RF/pyPP/J+LYo/6xYQT779NnTp0hnfteIFSQlETxtxDompq8LvC3+XdVtTa88h8QJ055QpWL1mDTIzMxGKbrzhell87jFlyh3eAmLxpnTP1LuRlJSE7+f9AKURRcAysIEKV1x5VYMF2OINSJxDp5wy3ls8XF5eLl97POeY+L8Ts2Sa6kEVrEQfqRdfeB53332PnC7fkFtumYSZM9/0fn3XXXd6C4jF6/QDD9wvs10//KC8c+jss89C375962UBb73lFuzavVtmqwTxu4tzyDMZ5MeffpZZwjvumCy/Fsfq9ttvlRmxgwfr1+K0NQ5L+ZhIW068+RbMevstrFm9StaRiCGUG2+aWO95wzIy8F1iYou2UYr33v8Avfv0xvz5v8i0rih2nDbtFSxYsND7HJGFGDLkUHW9GMcV08VFalOkOR0OJyZPniJTpUo07eWX0LNXT6SmpCImJlq+gAjiE7h4oxIvrOIcEpkHodpiwc2TJmHmW2/i9DNOl2/iomj7hhtvghIdd9xx+O9//yP71ggPP/wQJt9xuyw299RgiQLGgYMGercRxZD/rFiGwsIi+WlbzAa55dbbsG7dOijN7bfdiuHDhsksqQhy6rZTuOLKq+VtUYslzqG4uDj3Y2azfB0SvW7EBy+TKQzZ2Qdwww3KO4fE/8err0yr/Z1vkpe69X0//viTvC16jQ0ccOgcUqtUWLVyhfwgIf735PYTJ2HLlq1Qmqy9WXju2aeR1rGjLJ3o2rWLbHR4/fU3eJ8jAmBxDnWI7eCdCCP+p6a//houufgiGRCJKeX33Htfu+8/VwVvI+LNp1evXrLh085du454XEyp27//AAoKCpq9jdKIF9XUlBTs279f/lPUlZKSjPj4hHqZK5GNENPBxTBCdk4OlKxPnz4IDz+U2vVYv36DLPD0nENZWftkIFz3GIlzyGazYteu3VAqMXTSo0f3I+7Py8uXAbMghnlFILypTjpcHB/RjMxsrpRde5VKNFFLTk4+4n7R/dwz1Vu83ojh7717s1BcXHzEOSQmOYg3JiUSmTvPsO3h9u3bj8LCQm+ALGofN28+NP1ZBIXidUh8yDh8ZpBSX6cTEhJkJ2aR2atLHIvBgwdhz549shVF3ftFM8jqagv27nVnedobgxsiIiJSFNbcEBERkaIwuCEiIiJFYXBDREREisLghoiIiBSFwQ0REREpCoMbIiIiUhQGN0RERKQoDG6IiIhIURjcEBERkaIwuCGioCZavYu1kLp371bv/uOPH43Ro0f5bb+IyH8Y3BBRULPb7RgxfDg++vBDuRq2MHLkSHwyd44MfIgo9DC4IaKg9+RTT8NiseDJJ59AVFQUpr/+Kt55510sXrzE37tGRH7AhTOJSBH69u2LH3+YJ1codjodOPuc82Cz2fy9W0TkB8zcEJEibNu2DfN+mIf+/fvhySefZmBDFMIY3BCRIgwePBgXnH8+MjMzcdddd0KlUvl7l4jITxjcEFHQM5lMmDH9Ncyd+wkuu/xK9O7dC5Mn3+7v3SIiP2FwQ0RB77FHH4HT6cTjTzyJ/Px83Hff/bjv3nswaNAgf+8aEfkBgxsiCmodO3ZEREQEJk+eImdMCb/On48XX3wJp506wd+7R0R+wNlSREREpCjM3BAREZGiMLghIiIiRWFwQ0RERIrC4IaIiIgUhcENERERKQqDGyIiIlIUBjdERESkKAxuiIiISFEY3BAREZGiMLghIiIiRWFwQ0RERIrC4IaIiIigJP8PWrHNwwl+HzsAAAAASUVORK5CYII="
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"execution_count": 5
|
|
},
|
|
{
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2026-10-11T19:29:59.668113Z",
|
|
"start_time": "2026-10-11T19:29:59.569780900Z"
|
|
}
|
|
},
|
|
"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": "2026-10-11T19:29:59.921837Z",
|
|
"start_time": "2026-10-11T19:29:59.673750Z"
|
|
}
|
|
},
|
|
"cell_type": "code",
|
|
"source": [
|
|
"plt.plot(X, T, '.')\n",
|
|
"plt.plot(DTline, T)\n",
|
|
"plt.xlabel('x')\n",
|
|
"plt.ylabel('t')\n",
|
|
"plt.show()"
|
|
],
|
|
"id": "16c02def20d0be70",
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
],
|
|
"image/png": 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"
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"execution_count": 7
|
|
},
|
|
{
|
|
"metadata": {
|
|
"ExecuteTime": {
|
|
"end_time": "2026-10-11T19:30:00.094422100Z",
|
|
"start_time": "2026-10-11T19:29:59.941053600Z"
|
|
}
|
|
},
|
|
"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": "2026-10-11T19:30:00.392762800Z",
|
|
"start_time": "2026-10-11T19:30:00.099425500Z"
|
|
}
|
|
},
|
|
"cell_type": "code",
|
|
"source": [
|
|
"plt.plot(X, T, '.')\n",
|
|
"plt.plot(SVRline, T)\n",
|
|
"plt.xlabel('x')\n",
|
|
"plt.ylabel('t')\n",
|
|
"plt.show()"
|
|
],
|
|
"id": "e5cd67bfc95c5194",
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
],
|
|
"image/png": 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"
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"execution_count": 9
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 2
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython2",
|
|
"version": "2.7.6"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|