\n",
"
\n",
" \n",
" Parameters \n",
@@ -1315,21 +1317,21 @@
" }\n",
"}\n",
"\n",
- "forceTheme('sk-container-id-1');"
+ "forceTheme('sk-container-id-2');"
]
},
- "execution_count": 4,
+ "execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
- "execution_count": 4
+ "execution_count": 19
},
{
"metadata": {
"ExecuteTime": {
- "end_time": "2026-10-04T08:55:13.946278900Z",
- "start_time": "2026-10-04T08:55:13.820778100Z"
+ "end_time": "2026-10-11T19:31:44.205377200Z",
+ "start_time": "2026-10-11T19:31:44.147860800Z"
}
},
"cell_type": "code",
@@ -1353,13 +1355,13 @@
]
}
],
- "execution_count": 5
+ "execution_count": 20
},
{
"metadata": {
"ExecuteTime": {
- "end_time": "2026-10-04T08:55:14.023890200Z",
- "start_time": "2026-10-04T08:55:13.971850600Z"
+ "end_time": "2026-10-11T19:31:44.284290500Z",
+ "start_time": "2026-10-11T19:31:44.233952400Z"
}
},
"cell_type": "code",
@@ -1375,18 +1377,18 @@
"(array([False, True]), array([ 30, 120]))"
]
},
- "execution_count": 6,
+ "execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
- "execution_count": 6
+ "execution_count": 21
},
{
"metadata": {
"ExecuteTime": {
- "end_time": "2026-10-04T08:55:14.495601900Z",
- "start_time": "2026-10-04T08:55:14.058897500Z"
+ "end_time": "2026-10-11T19:31:44.509194600Z",
+ "start_time": "2026-10-11T19:31:44.302721400Z"
}
},
"cell_type": "code",
@@ -1404,13 +1406,13 @@
"output_type": "display_data"
}
],
- "execution_count": 7
+ "execution_count": 22
},
{
"metadata": {
"ExecuteTime": {
- "end_time": "2026-10-04T08:55:15.873613800Z",
- "start_time": "2026-10-04T08:55:14.523608500Z"
+ "end_time": "2026-10-11T19:31:45.527425200Z",
+ "start_time": "2026-10-11T19:31:44.516149600Z"
}
},
"cell_type": "code",
@@ -1432,7 +1434,7 @@
"output_type": "display_data"
}
],
- "execution_count": 8
+ "execution_count": 23
},
{
"metadata": {},
@@ -1443,8 +1445,8 @@
{
"metadata": {
"ExecuteTime": {
- "end_time": "2026-10-04T08:55:16.941403Z",
- "start_time": "2026-10-04T08:55:15.973212400Z"
+ "end_time": "2026-10-11T19:31:46.526819800Z",
+ "start_time": "2026-10-11T19:31:45.584659900Z"
}
},
"cell_type": "code",
@@ -1467,13 +1469,13 @@
"output_type": "display_data"
}
],
- "execution_count": 9
+ "execution_count": 24
},
{
"metadata": {
"ExecuteTime": {
- "end_time": "2026-10-04T08:55:17.258691100Z",
- "start_time": "2026-10-04T08:55:17.028545100Z"
+ "end_time": "2026-10-11T19:31:46.767923900Z",
+ "start_time": "2026-10-11T19:31:46.583481500Z"
}
},
"cell_type": "code",
@@ -1495,13 +1497,13 @@
"output_type": "display_data"
}
],
- "execution_count": 10
+ "execution_count": 25
},
{
"metadata": {
"ExecuteTime": {
- "end_time": "2026-10-04T08:55:17.769742300Z",
- "start_time": "2026-10-04T08:55:17.267703Z"
+ "end_time": "2026-10-11T19:31:47.132566600Z",
+ "start_time": "2026-10-11T19:31:46.793239Z"
}
},
"cell_type": "code",
@@ -1523,13 +1525,13 @@
"output_type": "display_data"
}
],
- "execution_count": 11
+ "execution_count": 26
},
{
"metadata": {
"ExecuteTime": {
- "end_time": "2026-10-04T08:56:16.313402600Z",
- "start_time": "2026-10-04T08:56:15.860970Z"
+ "end_time": "2026-10-11T19:31:47.505018400Z",
+ "start_time": "2026-10-11T19:31:47.144091200Z"
}
},
"cell_type": "code",
@@ -1551,13 +1553,13 @@
"output_type": "display_data"
}
],
- "execution_count": 13
+ "execution_count": 27
},
{
"metadata": {
"ExecuteTime": {
- "end_time": "2026-10-04T09:23:39.594811800Z",
- "start_time": "2026-10-04T09:23:39.247401700Z"
+ "end_time": "2026-10-11T19:31:47.704403900Z",
+ "start_time": "2026-10-11T19:31:47.509015400Z"
}
},
"cell_type": "code",
@@ -1574,13 +1576,13 @@
"text/plain": [
""
],
- "image/png": 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"
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"
},
"metadata": {},
"output_type": "display_data"
}
],
- "execution_count": 26
+ "execution_count": 28
},
{
"metadata": {},
@@ -1597,8 +1599,8 @@
{
"metadata": {
"ExecuteTime": {
- "end_time": "2026-10-09T06:53:43.624510600Z",
- "start_time": "2026-10-09T06:53:43.072461400Z"
+ "end_time": "2026-10-11T19:31:47.998273Z",
+ "start_time": "2026-10-11T19:31:47.717393600Z"
}
},
"cell_type": "code",
@@ -1622,7 +1624,96 @@
"output_type": "display_data"
}
],
- "execution_count": 36
+ "execution_count": 29
+ },
+ {
+ "metadata": {
+ "ExecuteTime": {
+ "end_time": "2026-10-11T19:36:42.356144900Z",
+ "start_time": "2026-10-11T19:36:42.281500500Z"
+ }
+ },
+ "cell_type": "code",
+ "source": [
+ "reg_iris = SVR()\n",
+ "reg_iris.fit(X[0].reshape(-1, 1), T)\n",
+ "SVRline = reg_iris.predict(X[0].reshape(-1, 1))"
+ ],
+ "id": "557fdc333af08332",
+ "outputs": [],
+ "execution_count": 34
+ },
+ {
+ "metadata": {
+ "ExecuteTime": {
+ "end_time": "2026-10-11T19:35:15.435919900Z",
+ "start_time": "2026-10-11T19:35:15.242151400Z"
+ }
+ },
+ "cell_type": "code",
+ "source": [
+ "plt.plot(X[0], T, '.')\n",
+ "plt.plot(SVRline, T)\n",
+ "plt.xlabel('x')\n",
+ "plt.ylabel('t')\n",
+ "plt.show()"
+ ],
+ "id": "ae16750f120e22ff",
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ],
+ "image/png": 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"
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "execution_count": 33
+ },
+ {
+ "metadata": {
+ "ExecuteTime": {
+ "end_time": "2026-10-11T19:39:24.717276800Z",
+ "start_time": "2026-10-11T19:39:24.611203800Z"
+ }
+ },
+ "cell_type": "code",
+ "source": [
+ "decision = lambda x : np.round(reg_iris.predict(x)) # kurze Funktionsdefinition\n",
+ "y = decision(X[0].reshape(-1, 1))"
+ ],
+ "id": "d6c8aa4a7ec87cc",
+ "outputs": [],
+ "execution_count": 38
+ },
+ {
+ "metadata": {
+ "ExecuteTime": {
+ "end_time": "2026-10-11T19:40:22.847053700Z",
+ "start_time": "2026-10-11T19:40:22.664308600Z"
+ }
+ },
+ "cell_type": "code",
+ "source": "plotTwoFeatures(SVRline, T, decision)\n",
+ "id": "e7c1478e96a84029",
+ "outputs": [
+ {
+ "ename": "ValueError",
+ "evalue": "X be a matrix (2 dimensional array).",
+ "output_type": "error",
+ "traceback": [
+ "\u001B[31m---------------------------------------------------------------------------\u001B[39m",
+ "\u001B[31mValueError\u001B[39m Traceback (most recent call last)",
+ "\u001B[36mCell\u001B[39m\u001B[36m \u001B[39m\u001B[32mIn[39]\u001B[39m\u001B[32m, line 1\u001B[39m\n\u001B[32m----> \u001B[39m\u001B[32m1\u001B[39m plotTwoFeatures(SVRline, T, decision)\n",
+ "\u001B[36mFile \u001B[39m\u001B[32m~\\OneDrive - bwstaff\\Studium\\NNW\\NNW\\Übung 2\\nnwplot.py:9\u001B[39m, in \u001B[36mplotTwoFeatures\u001B[39m\u001B[34m(X, T, pred_func)\u001B[39m\n\u001B[32m 7\u001B[39m \u001B[38;5;28;01mdef\u001B[39;00m\u001B[38;5;250m \u001B[39m\u001B[34mplotTwoFeatures\u001B[39m(X,T,pred_func):\n\u001B[32m 8\u001B[39m \u001B[38;5;28;01mif\u001B[39;00m X.ndim!=\u001B[32m2\u001B[39m:\n\u001B[32m----> \u001B[39m\u001B[32m9\u001B[39m \u001B[38;5;28;01mraise\u001B[39;00m \u001B[38;5;167;01mValueError\u001B[39;00m(\u001B[33m'\u001B[39m\u001B[33mX be a matrix (2 dimensional array).\u001B[39m\u001B[33m'\u001B[39m)\n\u001B[32m 10\u001B[39m tp=\u001B[38;5;28;01mFalse\u001B[39;00m\n\u001B[32m 11\u001B[39m \u001B[38;5;28;01mif\u001B[39;00m X.shape[\u001B[32m0\u001B[39m]!=\u001B[32m2\u001B[39m \u001B[38;5;129;01mand\u001B[39;00m X.shape[\u001B[32m1\u001B[39m]==\u001B[32m2\u001B[39m: \n",
+ "\u001B[31mValueError\u001B[39m: X be a matrix (2 dimensional array)."
+ ]
+ }
+ ],
+ "execution_count": 39
}
],
"metadata": {
diff --git a/Übung 2/regression.ipynb b/Übung 2/regression.ipynb
index d7eb616..d1aad32 100644
--- a/Übung 2/regression.ipynb
+++ b/Übung 2/regression.ipynb
@@ -3,19 +3,21 @@
{
"metadata": {
"ExecuteTime": {
- "end_time": "2026-10-09T07:17:12.831874600Z",
- "start_time": "2026-10-09T07:17:12.739738300Z"
+ "end_time": "2026-10-11T19:29:58.759319600Z",
+ "start_time": "2026-10-11T19:29:50.987723600Z"
}
},
"cell_type": "code",
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
- "from sklearn.linear_model import LinearRegression"
+ "from sklearn.linear_model import LinearRegression\n",
+ "from sklearn.tree import DecisionTreeRegressor\n",
+ "from sklearn.svm import SVR"
],
"id": "d3107201cd6b17ad",
"outputs": [],
- "execution_count": 19
+ "execution_count": 1
},
{
"cell_type": "code",
@@ -23,24 +25,25 @@
"metadata": {
"collapsed": true,
"ExecuteTime": {
- "end_time": "2026-10-09T07:17:12.904401200Z",
- "start_time": "2026-10-09T07:17:12.862126800Z"
+ "end_time": "2026-10-11T19:29:58.799798300Z",
+ "start_time": "2026-10-11T19:29:58.764324100Z"
}
},
"source": [
- "X = np.linspace(0, 2)\n",
+ "# 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": 20
+ "execution_count": 2
},
{
"metadata": {
"ExecuteTime": {
- "end_time": "2026-10-09T07:17:13.183142100Z",
- "start_time": "2026-10-09T07:17:12.915397500Z"
+ "end_time": "2026-10-11T19:29:59.154418800Z",
+ "start_time": "2026-10-11T19:29:58.803754200Z"
}
},
"cell_type": "code",
@@ -63,13 +66,19 @@
"output_type": "display_data"
}
],
- "execution_count": 21
+ "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": "2026-10-09T07:17:13.246481Z",
- "start_time": "2026-10-09T07:17:13.199398300Z"
+ "end_time": "2026-10-11T19:29:59.263294200Z",
+ "start_time": "2026-10-11T19:29:59.182689300Z"
}
},
"cell_type": "code",
@@ -80,41 +89,137 @@
],
"id": "6adc0e7db9a59f04",
"outputs": [],
- "execution_count": 22
+ "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": "2026-10-09T07:17:13.718741300Z",
- "start_time": "2026-10-09T07:17:13.291218500Z"
+ "end_time": "2026-10-11T19:29:59.502252100Z",
+ "start_time": "2026-10-11T19:29:59.268289400Z"
}
},
"cell_type": "code",
- "source": "plt.plot(line, T)",
+ "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": [
- "[]"
- ]
- },
- "execution_count": 23,
- "metadata": {},
- "output_type": "execute_result"
- },
{
"data": {
"text/plain": [
""
],
- "image/png": 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"
+ "image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
- "execution_count": 23
+ "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": [
+ ""
+ ],
+ "image/png": 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wnmjlKwWbLefTMW7HVQYbFZIt3Li4uJTYV7duXelnSkpK4Xo27dq1g5+fr7T9+++/S+GmbZs2hcfceUdvZGZmYu/eKLv/HzHoOD09vfCWkcFuR6IbIcbYiFJUUVaLGXkZ9r9gEClBhyBXzO4Vig7BbsjKs2DG7nhpteEcjq9RJdnKUs8MHoymTZtg2/btSExMQpvWrTB27BgsX76icM0aT09P/PTjRowdNx4rVqzEnj17sXXbNsyZMwvvvjtNmjn1yisvY9bsOVLAIaLqJwYPizE2ohQlemxEsEnaN5MlKVIkrQZ4vKUvHm7uDa1Gg3MpogwVh0vp9ocykDrIFm7mzZ+Pfv36ov9990lr3sTExODViZOwadN/gxLFuJsDBw4iMTGxcN/w4S/gxReex7BhQ6VemSlTpmLpsuUyPQsi5yQGD4sxNqIUJXpsOFuKlCjAVScNGm4b5CptbzqbhgUHk2CycDaU2mlqh4Y51VkWvUEnTxyTxt+IMhUREalPRIirNM3bx0WHzFyLtNLwr5fYw+8sn9+yz5YiIiKqKjoN8GQrXzzU3EfaPp2cg/f/iceVDJahnAnDDRERqUKQmw6vRAaiVUB+GWr9mVQsPJSEXIvcLaOaxnBDREQOL7KWm3TRS28XHdJNFmkm1J9XWIZyVgw3RETksPQa4Ok2fri/qbe0fSIxB9N3xeNqJstQzozhhoiIHFKIux6vRgaiuX/+umlrTqVi0eEk5DnVNBmyh+GGiIgcTtdQN4wJD4SnUYs0kxkz9ybgn5gsuZtFCsFwQ0REDkOvBYa09UO/xvllqGMJOXh/VxzismxXzSbnxnBDREQOobaHHhMjA9HEL78M9f2JFHxzNBm8ggIVx3BDRESK172OO8aEB8DdoEVKjhkf7YnHnmvZcjeLFIrhhoiIFMuo1WBIOz/0aeQlbR+Oz8b03fFIYBmKysBwQ0REilTHU5ShgtDI1wiL1YqVJ1Lx3bFk8NJQVB6GGyIiUpzb6npgZEd/uOm1SM42Y8aeeOyLZRmKKobhhoiIFMNFp8Hw9n64q0F+GepgXH4ZKimbs6Go4hhuiIhIEep6GaTZUA188stQS4+nYNmxFPDSUFRZDDdERCS73vU88EIHf7jqtUjMzsMHuxOkXhui68FwQ0REsnHVaaRQ07u+p7S971qWNL4mOYf9NXT9GG6IiEgW9b0NmBQZhLreBpitViw+mowVJ1LBS0PRjWK4ISKiGndXA09p4LCLTov4rDzpSt5HEnJ4JqhKMNwQEVGNcdNrMLJjgDTVW9h9NUtabTjVxDIUVR2GGyIiqhGNfAyY2CUIdTwNMFus+PpIMladYhmKqh7DDRERVbs+jTwxpK0/jDoNYjPzy1DHElmGourBcENERNXGXa+RLnjZPSy/DPVPTCY+2pOA9FyWoaj6MNwQEVG1aOJrlBblq+1pQK7Fiq8OJ2HN6TS+2lTtGG6IiKjK3dfYC8+29YNBq8HVjDy8vysOJ5NMfKWpRjDcEBFRlfE0aDEmIgBdQ92l7T8uZ+CTqARk5HL1Gqo5DDdERFQlmvsZ8WpkEEI89Mg1W/HFoSRsOMsyFNU8hhsiIrohGgADmnhhcBs/6LUaXEnPxfu74nE6mWUokgfDDRERXTcvoxbjIwIQWTu/DLXzYgZm70tAVh7LUCQfhhsiIrourQJc8ErnQAS562EyWzH/YCJ+OpfOV5Nkx3BDRESVLkM92MwbT7byhU6rwaW0XEzbFYdzKbl8JUkRGG6IiKjCfFy0mNApEBEhbtL2zxfSMXdfIrLNLEORcigi3Pj4+CAlJaVCj61du1aJfclJycjKzq6GlhERUYE2gfllqAA3PbLzLJh3IBFbozP4ApHiyBZuQkJCMHrUSAwYMAAaDaDX67Fk6TK88867yM2137Xp7u6OvXt2Iz4+HqYij5kyZSo2bNhYg60nch46t0DoPcKQl3EJ5qx4uZtDMtACGNTCB4+29IFOo8GFVBPe+yceF9JYhiJlki3cdO/eDadOncbNXbshNTUVLVq0wPJlS5CXm4u333m3zGMHP/MsoqL21VhbiZyVR/174Bc+DhqNDlarGUlRM5ER/aPczaIa5OeixUudA9EhOL8MteV8utRjk8MyFCk8kMvihx9W4auvv5aCjXD8+HGsWr0GPXv2LPdYvd4APz/fGmglkXP32BQEG0H89Os4TtpPzqF9kCtm9wqVgo0oQ83YHS+tNsxgQ0qniDE3BRo2aIC4uNhyH7dyxTJkZ2fDYrHgu+8WY8aHHyEnJ6dG2kjkLEQpqiDYFNBoddB71GF5SuW0GuCxFj5SKUqr0eB8iihDxeFSep7cTSNyrHBz1513onfvXnh68DOlPsZqsWD6BzPwxRcLkZ6ejsjOnfHFF5/DxcUFb0yeYvcYo9Eo3Qp4eHhUS/uJ1EaMsRGlqKIBx2oxIy/jsqztourl76qTBg23DXKVtn86l4b5B5JgsnA2FDkO2cpSRYmQMmfOLHz44UfYvv3nUh8nZkR9/PEnUrARdu3ejdlz5uKxxx6FRoxKtmPUyBE4eeJY4W1f1J5qex5EaiIGD4sxNiLQCOJn0r6Z7LVRsYgQV8zpVVsKNpm5FkzfFYfZ+xIZbMjhyN5zExERjm+//RoLvliImR9/UunjL0RfkGZRBQYGIi4ursT9IvzM/3yBTc8NAw5RxYjBw9mxu6VSlOix4WwpddJpgCda+eLh5j7S9plkE6b9E4crGSxDkWOSNdyEh3fE4u++xZeLvsL06R+Uuq5NwTo2onfGarWW+DfEoOTExES7x5tMJulGRNdHBBqGGvUKdNPh1chAtArIL0OtP5OKhYeSkGuRu2VEDhhu2rZtiyWLv8OmTT/im2++KVycz2Kx4tq1a9J/e3t7S+vajB03HitWrMTQoUMQGBCALVu3IiUlFb1uvx3Dhg3Fhx/NhNmc33VOREQV07mWm3TRS28XHTJyLfhkbwL+uJLJl48cnmzh5tZbeyA9IwM9bu0h3Qqkpaai5+29pf8Ws6GuxMQgMzP/j+3LLxfhqSefwGuTJiEgwB/RFy5g+PAXpLBDRDeOC/Y5B70GeLqNH+5v6i1tn0zKwfv/xONqJstQpA6a2qFhTjUE3tPTUxpY3Kx5y8KByUTEBfucRbC7KEMFoYW/i7S95lQqFh1JQh7LUKSiz2/ZBxQTkXIX7BODiTneRj1uqu2GcREB8DTqkG4yY+beBPwdkyV3s4iqHMMNEXHBPpXTa4Fn2/ihf5P8MtSxhBy8vysOcVkcq0jqxHBDRFywT8VqeegxMTIQTf3yy1A/nEzB10eSwUtDkZopYhE/IpIXF+xTp+513DHr9tpSsEnJMWPKn7H48jCDDakfe26ISMIF+9TDoAWGtvNHn0Ze0vbh+GxM3x2PBJahyEkw3BBRIS7Y5/hCPfWYFBmERr7519RbfiIF3x1NBi8NRc6E4YaISCVuDXPHyI4BcDdokZxtxod74hEVmy13s4hqHMMNEZGDc9FpMKydH+5umF+GOhiXjQ92xyMxm7OhyDkx3BARObC6XmI2VBAa+BhhsVqx7HgKlh5LAdfkI2fGcENE5KB61fPAix384arXIinbLA0aFr02RM6O4YaIyAHLUCLU9K7vKW3vu5aFGXvikZzD/hoigeGGiMiB1Pc2SLOh6nobYLZasfhoClaeYBmKqCiGGyIiB3FnA088394PLjot4rPypEHDh+Nz5G4WkeIw3BARKZybXoMRHQLQs56HtL3napY0zTvVxDIUkT0MN0RECtbIxyDNhqrjZYDZYsU3R5Pxw8lUWOVuGJGCMdwQESnUvQ09pcsoGHUaxGbmYfqueBxLZBmKqDwMN0RECuOu12B0eABuCcsvQ/0Tk4mZexOQxjIUUYUw3BARKUgTXyMmRgaitqcBeRYrFh1OwprTaXI3i8ihMNwQESlEv8ZeeK6tHwxaDa5l5OH9XXE4kWSSu1lEDofhhohIZp4GLcaEB6BrHXdp+8/LmfgkKgHpuZwNRXQ9GG6IiGTU3M+IVyODEOKhR67ZioWHkrD+LMtQRDeC4YaISCYDm3hhcBs/6LUaxKTnYtqueJxOZhmK6EYx3BAR1TAvoxbjIgLQpXZ+GerXSxmYHZWAzDyuXkNUFRhuiIhqUEt/F7waGYggdz1MZis+P5iIH8+l8xwQVSGGGyKiGqAB8GAzbzzZyhc6rQaX0kQZKg7nUnL5+hNVMYYbIqJq5m3UYkKnQHSq5SZt77iQjrn7E5HFMhRRtWC4ISKqRm0CXfBy50AEuumRnWfB/ANJ2BLNMhRRdWK4ISKqBloAD7fwwWMtfaDTaHAh1STNhopOZRmKqLox3BA5KZ1bIPQeYcjLuARzVrzczVEVPxctXuociA7B+WWordHp+Gx/InLMnA1FVBMYboickEf9e+AXPg4ajQ5WqxlJUTOREf2j3M1ShfZBrlIZys9VJ5WhxNiany9kyN0sIqfCcEPkhD02BcFGED/9Oo5Dduxu9uDcYBlKlKAGtfCBVqPB+RRRhorDxbS8qjp1RFRBDDdETkaUogqCTQGNVge9Rx2Gm+vk76qTemvaBblK2z+dS5MGDpssLEMRyfVlQxY+Pj6YMH4cfv/9V5w/dwb//P0nRo8eBY1GrAZRurp162LpksXSMadOHsdHH86Am1t+XZuIyifG2IhSVFFWixl5GZf58l2H8GBXzOlVWwo2mbkWTN8Vh9n7EhlsiJwx3PTt2wdWqxVPPPEUGjdphrHjxuOF54dj3NgxpR6j1+vx3bdfIzs7G+HhnXDnXXejc2RnTH9/Wo22nciRicHDYoyNCDSC+Jm0byZ7bSpJqwGebu2Lt7qHwMdFhzPJJozZEYOdlzKr47QRUSVoaoeGKabf9M2pU3Bz15txxx132b3/zjvuwFdffYlOnSNx5UqMtK//ffdhzpxZCI/ojLi4uHL/H56enjh54hiaNW+J9HSuNUHOPluqjtRjw9lSlRPopsMrnQPROjC/DLXhTBq+OJSIXEu1nCoiQuU+vxU15iY4JBgpySml3h8REY7z56MLg43wx59/QqfToWOHDtiydWsNtZTI8YlAw1BTeZ1ruWF8RAC8XXTIyLVgVlQCfr/M3hoiJVFMuOnWrSv63HsvRowcVepjgoKCkJCYYLMvMTERFosFgUGBdo8xGo3SrYCHh0cVtpqInIVOAwxu7Yv7m/lI26eScqRF+a5mcDYUkdIoIty0atUSn8+fj0WLvsK6devLfKxWYztMqHAAstV+dW3UyBGYMGF81TWWiJxOsLsOr0YGoYW/i7S95nQqFh1OQh7LUESKJHu4adGiBZYvW4p169fjjclTynzstdhYqYenqICAAGi1WsSWMt5m9py5mP/5Apuem31Re6qo9USkdjfVdsO4iAB4GnVIN5kxc28C/o7JkrtZRKTE2VJC8+bNsWL5UmzctAmTJr1m9zEuLi5SeBF27dolTQWvV69e4f3du3dDXl4eovZG2T3eZDJJA48KbhkZXCmUiMqn1wJD2/nh9ZuDpWBzPDEHo36OYbAhcgCyhZsmTZpIwWbbtu2YMuVNKcSIW9HxMd7e3jh39jQefPABaXvnzl9x+PBhfDB9GurXr4/27dtj4quvYNmy5UhMSpLrqRCRytTy0GPGrbUwoIm3tP3DyRS8svMqYjNt1wciImWSrSw1cOAAeHl5YcCA/tKtQGpqKjp0jJD+W6yDI9a0MZvz31DEwOEnnxqMN9+cgo0b18OUY5LKWe+++55cT4OIVKZ7HXeMDg+Ah0GL1BwzPtqbgN1XWYYiciSKWuemJnCdGyKyxyCVofzRp5GXtH0kPhvTd8cjPou9NURK4LDr3BARySHUQ4+JXYLQ2De/LL78RAq+O5oMXhqKyDEx3BCRU7s1zB0jOwbA3aBFcrYZH+6JR1RsttzNIqIbwHBDRE7JqNVgeHs/3N0wvwx1MC4bH+yOR2I2y1BEjo7hhoicTl0vPSZGBqGBjxEWqxXLjqdg6fEUlqGIVILhhoicyu31PDCigz9c9VokZZul3poDcSxDEakJww0ROQUXnQYvdPDHHfU9pe39sVmYsTseSTm8hgKR2jDcEJHq1fc2YGJkIOp5G2G2WrHkWApWiDKU3A0jomrBcENEqnZnfU9p4LAoQ8Vn5UllqMPxOXI3i4iqEcMNEamSm14jja3pWS+/DLXnapY0zTvVxP4aIrWrdLjp3KkTPDw98csvv1TqPiKimtLQR5ShghDmZYDZYsU3R5Pxw8lUONVy7EROrNLhJiIiAsHBQXYDjLgvKCiQ4YaIZHNPQ08Ma+cPo06DuMw8vL8rHscSWYYiciZVWpZq3rwZTp06VZX/JBFRhbjrNRgVHoAeYR7S9j8xmZi5NwFpLEMROZ0Kh5unn34KL780Aa6urtBoNHj44Yds7ndzc5Ou4n333fdWRzuJiErVxNeIVyMDEeppQJ7FikWHk7DmdBpfMSInVeFw8/vvvyM5KRm9e/eCt7cXVq1aY3N/WnoaDhw4iISEhOpoJxGRXf0aeeG5tn4w6DS4liHKUHE4kWTiq0XkxCocbs6cOSvd9uzZA6OLEefOna/elhERlcHToMWY8AB0reMubf95JROf7E1Aei5nQxE5u0qPubl85Ur1tISIqIKa+YkyVBBqeeiRa7Fi4aEkrD/DMhQR5eM6N0TkUAY08cIzbfyg12oQk56LabvicTqZZSgi+g/DDRE5TBlqfKcAdKmdX4b67VIGZkUlIDOPq9cQkS2GGyJSvJb+LnglMhDB7nqYzFYsOJiITefS5W4WESkUww0RKZYGwAPNvPFUK1/otBpcThNlqDicTcmVu2lEpGAMN0SkSN5GLSZ0CkSnWm7S9o4LGZi7PwFZLEMRUTkYbohIcVoH5JehAt30yDFbMG9/ErZEswxFRBXDcENEiqEF8FBzHzzeygc6jQYXU3Px3q44RKeyDEVEFcdwQ0SK4OuixUudAtExJL8MtS06HZ/uT0SOmbOhiKhyGG6ISHbtglzxSudA+LnqkJ1nkULN9gsZcjeLiBwUww0RyVqGerSlDx5p4QOtRoPzKSZpUb6LaSxDEdH1Y7ghIln4u+rwcudAqddG+OlcGj4/mMQyFBHdMIYbIqpxHYNdpfE1vq46ZOZaMGdfAnZeyuSZIKIqwXBDRDVGqwGeaOWLQc19pO2zySZpNtSV9DyeBSKqMgw3RFQjAtx00qDhNoH5ZaiNZ9OkyyjkWngCiKhqMdwQUbXrXMsN4yIC4OOSX4b6JCoBv19mGYqIqgfDDRFVG50GeLq1Lx5oll+GOpWUI82GuprBMhQRqTTcNGncGE8+9QTu69cPp8+cwUMPDSrz8W5ubojau7vE/tde+z+sXrOmGltKRJUV5KbDq5FBaBngIm2vPZ2KLw8nIY9lKCJSa7gxGo1YuHABFi9Zip2//ormzZqXe4xGo4GPjw8GPfIoDhw4WLg/KyurmltLRJVxU+38MpSnUYd0kxkfRyXgryv8OyUilYcbk8mEW2+7XfrvqVMnV+rYjIwMpKamVlPLiOh66TXAM239MKCJt7R9IlGUoeIQm2nmi0pENcYhx9x89ulcqecnOjoa3363GD/8sEruJhE5vVruerzaJRDN/PLLUKtOpuDrI8nI46WhiKiGOVy4WbduPT5fsADXrsXi9tt7Yvr70xAYGIj58z+3+3gRgsStgIeHRw22lsg5dAt1x5iIAHgYtEjNMWPm3gTsusoyFBHJw6HCTWZmJp5/4cXC7W+//Q61QkIwZvSoUsPNqJEjMGHC+BpsJZHzMGiBIW390bexl7R9NCEb7++KR3wWy1BEJB+HCjf2iIHFvr6+CAgIQEJCQon7Z8+Zi/mfL7DpudkXtaeGW0mkPqEe+WWoJr75ZagVJ1Lw3dFkmFmGIiKZOXy4adKkMbKzs5Genl7qwGVxI6Kq0yPMHaM6BsDdoEVKjhkf7onH3mvZfImJSBG0UDAvLy8cO3oYAwcMkLYfGTQI998/UNqv1Wpx2223YcSIEVi+YiVycnLkbi6R6hm1Gozs6C+tXyOCzaG4bIzaHsNgQ0SKImvPzbq1q9G0aVO4urpCp9NJQUYIj+gsrV1TsK6NwWiQ9m//+We89NJ4vDl1Ctzd3REfH4958+dj3rz5cj4NIqcQ5qnHxC5BaOhjhMVqxfITKVhyLAUWlqGISGE0tUPDZHtrEuNfRKgprugaNt7e3lLQyc3NtXmMXq9HXl7ll3D39PTEyRPH0Kx5y1JLWURkq2ddD4zo6A83vRZJ2WbM2B2P/XEsQxFRzanM57esPTdiMb7ylLZY3/UEGyKqHBedBi908Mcd9T2l7f2xWVKwScrhNRSISLkcfkAxEVWPel4GTOwSiPreRpitVqkEteJ4ChhriEjpGG6IqIQ76nvg+fb+cNVrkZCVhw92x+NQPAftE5FjYLghUgGdWyD0HmHIy7gEc1b8df87rrr82VA96+WXofZey5KmeaewDEVEDoThhsjBedS/B37h46DR6GC1mpF8aAHST6+s9L/T0MeAiZFBCPMywGyx4tujyfj+ZCo4GYqIHA3DDZGD99gUBBtB/PRtOxwaDZB2quIB57PetVHPO/8abHGZeZi+Ox5HE1iGIiLHxHBD5MBEKaog2BSQ1odqMwyZl3aUW6Jy12uw8r56hdt7ruaXoVJNHDZMRI5L0SsUE1HZxBgbUYoqTqPRQu9Rp8xjG/sasejuMJt9U/6MZbAhIofHcEPk4NLPbYTVajsyxmoxIy/jcqnH9GvkhQ9vrQVPY/5bwLz9ieizKprja4hIFViWIlLFQGKLFHBEj40INkn7ZtotSXkYNBgTHoBudTyk7b+uZOLjvQlIz2UZiojUg+GGSBUDifNDTfyuqTAlHrUbbMZFBKD3vysN51qs+PJQEtadSavxthMRVTeGGyK1DCTW6mDJSSkRbEThaf399W32vbzzKk4lmWqkrURENY1jbohUMpDY3jibZn7GEsHmxW1XGGyISNUYbogckOidSYqaKQUawd44m0ldAjGzZ22b48Sg4ejU3BpvLxFRTWJZishBZUT/iOzY3dKUb9FjUxBsdBpg3UDb3pp1p1Mx/2CSTC0lIqpZDDdEDkwEmqK9Na0DXDD91lo2jxm+5TIupefJ0DoiInkw3BCpxJvdghER4laiDEVE5GwYbogcnF4DrC1Whlp5IgVfHUmWrU1ERHJiuCFyYB2CXPHOLSE2+57bfBlXM1iGIiLnxXBDpS4SJ9ZSEVOOy7v4YlUcR5U3vUcIWge62uxjGYqIiOGGyl3W3yxNORYzc8oLM67BnSt8HF0/o1aD1QP+u5K38N3RZCw9nsKXlYiI4YbKX9ZfB7+O46Qpx8V7YoqHIEAjXQagvOPo+v3fTUG4OdTdZt/gHy8hLqvklcGJiJwVy1JUoWX9xVoqheuouAXC6NcafuHjbcJMccWPoxuzsdhKwwLLUEREJTHckN1l/YuGFbH6rcWcBZfADjD6NYVPm6F2w0xx4jiti68Uhhhwrl+Amw7f3BNms89itaLf6gv87SUisoPhhuwu6y9KSqLnRQSUjAtbEXLbnH/LT1ZoNBq7r5rVYgE04n7dv/+tQWCXNzj+5gas7l8PRrHkcBETfonB8URe9JKIqDQMN1Tmsv6ix6Yg2AilB5v8axuJ44x+rRDQ5XWOv7lBLEMREV0fhhsqc1l/UYoqqwQlQk3C7rdhSjxaWHqyeKQWBpsCHH9TcXW9DJh3R2iJ/RxfQ0RUMQw3VPkxOP+Wpgp6a7Iu/1r+MRazdHFHqnxvzSs7r+JIQg5fOiKiCmK4oUqPwUk+vAC5yScLw4ro3Sm6aJ+9Y0QI4qDisrEMRURUNRhuqFJjcESgKQgpZS32V9oxVFJTPyM+7lm7xH6WoYiIrg/DDVVqDE5lFvsrfgxVrLdm9M8xOJNc/mwoXuqCiMg+hhuqtsX+qPrKUJW5RAYRkbOxndJSw4KCgjBmzGhs37YVC79YUKFjPD09MXnyG9i6dTM2rF+HYcOGljo9mapP/qBhi80+sbYNBw2Xr12Q6w0Fm9J6zcR+IiKSsefGYDBg08b1+GHVapw6dQr165d8s7fnyy+/gI+3N954YzJ8fHwxY8Z0+Pv7Y9q096u9zVQOZsxyrR9YD9piYXzYlsu4nJ5X4V8v9poRESk03OTm5uLmrt2Rl5eHqVMnVyjc3HzzTejerRtu69kLJ0+elPYFBgbgzalTMGfOXKSnp9dAy+m/D9hia9lotCxL1cBsKE61JyJScFlKBJvK6HrzzbgSE1MYbISff/4Zrq6uiIiIqIYWUnkfsEVxLRv7Wge4lAg2B+Oyr3s2VMFUe/F6F7zunGpPROSgA4pDQ0MRFxtnsy/23+3Q2rXsHmM0GqVbAQ8Pj2pupXPgWjbX31vzxMaLSMqxHa9UWZxqT0SkknCj1WqRm5drs89sNks3rc7+JQJGjRyBCRPG11ALnQs/YOVdlI9T7YmIFFiWqqzExET4+fnZ7PP19YFOp5Pus2f2nLlo1rxl4a1jeKcaaq1jETNtxErDlZ1xIz5gc+IPcPp3EeHBJWdD/XYpg4vyERHVEIfqudl/4IA09TsgIAAJCQnSvsjOkdLPgwcO2j3GZDJJNyod10yp3t6aQesvIj33xspQRESkkp4bMT7mj99/wz333C1tb9u6DddiYzFp4qtSb42Xl5e0Ts627dtx+coVuZvrkLhmSvWXoRhsiIicqOfm22++RqNGjeDv7wcXFxcpyAi9e9+BrOxsKcA0bNhACjGC2Df46WcwZ84sHD1ySBoo/M8//2DsWI6puV4VXTOFS/2XrmuoO/53U5DNvh/PpWHOPvul0qrGc0NEpKBw8+rEiTAaXUrsFyFGSEtLQ9dutyAu7r8ZUoePHJHWuQkODpbKTcnJyTXaZrWpyJopLFtVrrfmwXUXkJVnRU3guSEiUli4uXIlpsz7rVYrzp8/b/e+2NjYamqVcylvSndFLpDprKp7NlR5eG6IiFQwoJhqfko3l/ovqa6XAfPuCLXZt/JECr46UrO9iDw3RET2MdxQmWumcKl/Wy+090ffxvljwAr0Xx2NGqpC2eC5ISJywNlSJD8u9Z9P828ZqmiwKVi7Ro5gw3NDRFQ69txQuZx9JeKGPgbM6WVbhhq7IwankuRfP8nZzw0RkT0MN1QhzrrU/7iIAPSu72mzr++qaMjUWWOXs54bIqLSMNwQlVKvXV9sNtSW8+n4JCp/ZWwiIlIuhhuiYpr6GfFxz9o2+0Zsu4LzqbYXbSUiImViuCEqYlKXQHSv4yHb2jVERHTjGG6cDJfqt0+rAdYPtC1DrT+TinkHkmrkvBARUdVhuHEiXKrfvlYBLvjg1lo2+4ZvuYxL6Xk1cl6IiKhqMdw4CS7Vb9/UrsHoVMvNZh/LUEREjo3hxklwqf5ir4cGWFusDPX9iRQsquFLKBARUdVjuHESXKr/P+2DXPHuLSE2r89zmy/jagbLUEREasDLLzgJXkYh3/s9QkoEG1GGYrAhIlIP9tw4EWdeqt+gBdYMsC1DfXc0GUuPp8jWJiIiqh4MN05GiUv1V/f09M613DCla7DNvsE/XkJclrnK/19ERCQ/hhtS9fT02bfXRiNfo80+zoYiIlI3hhtS5fR0F50Gq/rXs9m38FASVp1KvaF/l4iIlI/hhuT75fMIKww2BTRanTQm6EbCTddQN/zvJtsy1BObLiEpm2UoIiJnwHBDqpqevuDOUIR6Gmz2sQxFRORcOBWcVDE93U2vwcb769sEm0/3JzDYEBE5IfbckMNPT781zB2vRAbZ7Ht0w0WkmixV2FIiInIUDDfk0NPTv7s3DH6u/5W1cswW3L/2YhW2joiIHA3DDTkkT4MWy/vVtdn38d54bI3OgCOr7jV/iIicAcMNOZw76ntgbESgzb5B6y8iPdexy1DVveYPEZGzYLghh+rN+P5Odxh1msL7xPRuMc3b0VXnmj9ERM6G4YYcojfDS5OBGRhrc9/0XXHYeSkTalBda/4QETkjhhtSfG/GCM0ctMMBm/sGbc1Aepo6gk11rflDROSsuM4NKbo3Y75mqE2wyYAHnseX8O29ROrVUYuqXPOHiMjZseeGFKmulwHzeiTZ7PsJ92ANHlLtmJSqWPOHiIgYblRFLdOIp90SgrZBrjb7xmMWMuGp+jEpN7LmDxERKaDnxmg0Yshzz6J79+7IycnBunXrsXrNmlIf7+rqimVLF5fY/8ms2dix4xc4M7VMIxaXUChuuHXBv8/LCo3mv5lSHJNCRESKCzdz58xGy1Yt8cH0GfDx9cEHH7yPWrVC8Nm8+XYfr9VqERkZiZdfeRWnTp4q3H/m7Fk4MzVMI27sa8Ss22vb7Pv2pAm/N/26yPPSFAYcjkkhIiLFhZuOHTugT597cW+ffti/f7+0z8XFBS+/NAFfffU1srKzSz322LFjiIraV4OtVTZHn0Y8t1dtNPAx2ux7cN0FWHzbI7hZseel0SDpwFxkXfnVIZ4bERE50WypHj16IDY2tjDYCJs3b4GnpyciOkWUeezEia9K5alp095F27Zt4ewKphEX5SglG1GGKh5s+qyKRlaetdTnxWBDRESKDDdhderg6tWrNvsKtuuE1in1uEOHDmHN6jVY8MVCmPPM2LB+rdQDVNa4HhGYCm4eHh5QG3vTiNNOfQ8la+nvUmJ8zecHEqVgU4DTo4mIyKHKUnqDQRpEXJTJZILZbIbBaLB7TFZWFvr264/c3Fxpe/v2n6HV6TB1ymRs3LjJ7jGjRo7AhAnjoXYF04g9G98Pr6YPwbv5IHg1e1CRA4u/vqcOAt1sf/XuX3sBOWZricdyejQRETlMz01ycjL8/Pxs9vn4+ECn00n32SMGkxYEmwI7d/6K0NBQ+Pn52j1m9py5aNa8ZeGtY3gnqJlX0weh0WhtBhaLAcdKIXprigcb0VtjL9gU7cHJiT/AMTZERKTscHP48GHUq1cP3t7ehfs6dOjw731HKvzvBAUFSr09OTkmu/eL3qD09PTCW0ZGBtREBBeXwA6Fa9yUNrBYbmGe+hJlqE+iEmzKUERERA4dbsTgYRE2RNlI0Ov1GDHiBfz99z84f/68tM/d3R1rVv+Anj1vk7bvuKM32rRuXfhviHD04gvPS+WpzEz1XGeoMmvb1L57CYJ7fCj9NPg2VeTA4ufb+2H+nbYBq9/qaGw5ny5bm4iISL1kG3Mjgs2w4c/js0/nol+/vtJA32vXYvH04Gf+a5xeL61rExQUJG1fvHgJ0957B3Xq1EFKSioaNWqIH3/8Cf/3+utwNvbWtvFtMxQphxfAp/VQqcdGCWvBFO+t+f1yBt775/rbo5ZVmImISKWL+P3551/o1LkLmjdrhhyTCadO/bcwX0EAGjDg/sJF+o4fP44BAx9ASEgIAgL8ceHCRekxzqi0EpQp6SRiNj8m+/WJGngbMLd3qM2+cTticDLJfvnQmVZhJiIilV84UwwQPnzE/hgbi8WCXbt3l9h/7do16ebMCtaAKRpwCkpQcl+faEx4AO5sYHsdqH6romGphlWYTalnkJt08gZbTEREaiLbmBu6MUpcA0bzbxmqaLDZFp0uDRq+kWBTVk9VyG1zpR4dIiIixfTc0PVT0howTXyN+KTYtaFGbr+Ccym2U/ersqdKENPeHe06WkREVL3Yc+PgU8AFudeAeTUysESw6bsqusqCjb2eKiVOdyciImVgz40DUsrAWq0GWD/QdjbUhjNp+OxAYrX8/8RzFGNsRCmqYKFCpUx3JyIi5WDPjYMpbWBtTa9CLK4NVTzYPL/1crUFmwJi8HBS1EeKGmtERETKwp4bB1PWKsQ19QE/pWsQOtdyt9lXkysNK2msERERKQ/DjYqmgFc3vQZYW6y35vuTKVh02P61wKqT3NPdiYhIuViWcjByTQFvF+RaItgM2XxZlmBDRERUFvbcOKCaLsu8d0uIFG6K4gUviYhIqRhuHETxayrVRFnGoAXWDLDtrVl8LBlLjqVU6//XWfA6WURE1YPhxgHIMfU7IsQVb3YLsdk3+MdLiMsquc4MOe50fiIiNeKYG4WTY+q3mA1VPNiIMhSDjbqm8xMRqRV7bhSuJqd+67XA2mJlqEWHk/D9ydQq/f84OyVM5yciUjOGG4WrqanfzfyMmNnT9hIKT266hMRslqHUNJ2fiMgZsCylcDUx9XtYOz+bYPPXlUypDMVg4zxXdCciUhP23Djx1G+jVoPVA+rZ7Hvjj2vYey27Sv59Kh1XWSYiqj4MNw6iqqd+i2tDzbitls2+h9ZdQGaetcr+H1Q2rrJMRFQ9GG6c0KiO/ri7oVfh9o4LGZixhyWRmsL1bYiIqhfDjRNx0Wmwqr9tGeq1367hQBzLUDWF69sQEVU/hhsn8URLHzza0tdm3wNrLyDbzDKU3OvbiPFUHExMRFR1GG6cwMb7bdeu2Radjpl7E2Rrj7Pi+jZERDWD4UbFAtx0+OaeMJt9Xx9JwooTXJRPDlzfhoioZnCdG5V6rq1fiWDzyIaLDDaKWN/G8t9OjQauwZ3lbBYRkeqw58YJylCCWJSP5CfG10Dz37ZGo+W4GyKiKsZwoyKeBi2W96trs2/egUSsP5MmW5ucXfFp3/njbmw7THldKSKiqsVwoxKRtdwwuWuwzT4uyqe8ad+i54bXlSIiql4cc6MCU7oG2wSbH06mSGUorjasvGnfAq8rRURUvdhz48C8jVos7Wtbhhr9cwzOJJtkaxOVP+2b15UiIqpeDDcOqluoO167KchmX//V0eCloRxj2jevK0VEVH1YlnJA790SYhNslh5PlspQDDZKnPZtlrbFz6R9M7kSMRFRDWDPjQPxddFicR/bMtSL264gOjVXtjZR6Vh+IiJywnCj0Wgw6OGH0b17N+Tk5GDd+g3YuXNnlR+jBreGueOVyP96a7LzLHho/UVYeGkoRWP5iYjIycpSH874AC+//BL27t2Li5cu4atFC/H4449V+TGObmbPWjbB5psjSXhgHYMNERGRonpuWrVqiUceGYT7H3gIf//9t7TPYrHgtUmTsHLl9zCZTFVyjCMLcNXhm3ttL6Hw/NbLuJiWJ1ubiIiIlE62npvbe/ZEQkJCYUgRNmzYAD8/X4SHh1fZMY6qd30Pm2CTkmNGv1XRDDZERERKDTd169VFTEyMzb7Ll69IP+vVq1tlxxiNRnh6ehbePDw8oHRze9XGuIjAwu2Fh5Lw2MZLKHK5RSIiIlJaWcpodEFWVpbNPjFAOC8vDy4uLlV2zKiRIzBhwng4giA3Hb4qdiXvIZsvIyaDZSgiIiLFh5u01FT4+PjY7PP29oZer0dKSkqVHTN7zlzM/3xB4bboudkXtQdKc29DT4zoGFC4HZuZh2d/ugxOhlLuRTCJiEiZZAs3R48ewxNPPC6FjYyMDGlf69atCu+rqmPEIGMlDzQWdcH199e32ffZ/kRsOMsreSv9IphiHRsiIlIe2cbcbN6yGbm5uXj22WcK1695fvgwHDhwEKdPn5b2ubm54cuFX6Bbt64VPsaRdAh2LRFsnvnpEoNNNfW6uAR2kH5W1UUwr+ffIiIiFffcJCUlY/TosZg162Pcc/fd8PbxhtFgwONPPFX4GIPBgLvvvgs/bd5c4WMcxcK76qCWh+3LLy6hQMrrdSnrIpgsTxERKY+sKxRv3rIFnSNvQof27ZFjMiEqKkrqmSmQmZmJZ58dgkOHDlX4GKXTaYB1A217a04k5mD8L1dla5Oaldbrkh27u8LBJP8imBZoNFq7F8EkIiJlkf3aUqmpqfj1t9/s3idmQRX02lT0GCWLrOWGyV2DbfZN+CUGxxOVOybI0VVFr4trcGebbRF0eBFMIiLlkj3cOItlfcPgZbT9kGUZqvrl97qYbQJOZXpd/uv5KTI8zWqVen6IiEiZZL22lDPQa4GN99e3CTb7rmUx2NQQ0TsjxtiIQCOIn2mnvq+Snh8iIlImhptqdEsdd6wdYDu+ZtT2K/i/P2Kr839LxYjBwzGbH0PqyeVi0A28mw9C7buXSAONK9rzUxTH2xARKRvDTTV5tIUPJnb570reBWWosymOM/hZbbyaPlhYXqrodG57PT8cb0NEpGwcc1MNs6FW9a8HvVZTuO+Pyxl49x+uaOuoA4tFz48YYyMeK8bqFDyeKxYTESkTw00VauRjwOxeoTb7Ht1wEakmXvLS0QcWi0BTNARxxWIiIuViWaqK+LpobYLN/tj8QcMMNspQleUlrlhMRKRs7LmpIj4u//UIvP13LP66Ynv1cpJfaeWlyuKKxUREysZwU0WiU3OlElS6yQIWoZSreHlJjhIXERFVL5alqpAoQTHYqB9nUBERKRt7bohkLHEREVHVY7ghkrHERUREVY9lKSIiIlIVhhsiIiJSFYYbIiIiUhWGGyIiIlIVhhsiIiJSFYYbIiIiUhWGGyIiIlIVhhsiIiJSFYYbIiIiUhWGGyIiIlIVhhsiIiJSFae9tpSHh4fcTSAiIqJq+NzWO+uLsy9qj9xNISIiouv4HE9PTy/zMZraoWFWOJmQkBBkZGRA6SdPBLCO4Z0U39br5QzPUeDzVBeeT3VxhvPpoaLnKJ7LtWvXyn2c0/XcCBV5YZRC/CKWl1AdnTM8R4HPU114PtXFGc5nhgqeY0XbzwHFREREpCoMN0RERKQqDDcKZTKZ8OGHH0k/1coZnqPA56kuPJ/q4gzn0+QEz7E4pxxQTEREROrFnhsiIiJSFYYbIiIiUhWGGyIiIlIVp1znRgkefvgh9O3bBy5GI3777Xd8vuCLcgd7Xc8xcjIYDBg65DncemsPmEy52LRpE5YuW17q47VaLdauXV1i/9y5n+Gnn36CUgUEBODRRwahd+9e0nn58KOZ5R7j6+uLUSNHoF37dkhOSsbiJUvxyy+/QMnq16+PJ594HJFdIvH119/ghx9Wlfn4Xr1ux9ixY0rsf+ihQcjOzoYS+fj4SM+xc+dOsFqBPXv24MtFXyEzM7PM4zp1isCzzzyD4OBgnDx1CrNnz0ZMzFUoVZ3QUDz11JNo27Yt0jPS8csvO7F8+QqYzeZSj3nrzano0LGDzb6///ob77z7HpS8YOvgwU+jQ/v2yMrKwh9//onFi5eU+fun0Wjw9FNP4c4775D+e9v27fjqq6/LfG3k1rRpUzz15BNo1rwZkpKSsGXLVqxevQZW8UtcyvvPt99+XWL/e+9Nw59//gU1YLiRgXjDf374MEyd+iZS09Lw2qRJ0ofcsGHPV+kxcps96xO0a9cO7773Hjw9PDFlyhsIDQ0t9cNfvJFEhIdj0mv/w6FDhwr3R0dfgFI1btwIy5ctld5IjEYXNGjQoEKh7/uVK5CamorP5s1D8+bN8c3XizBs+AuKDXF33nEH3pj8OpYtXYYG9eujdq1aFQp99evVw+BnnrXZn5OTA6X6cdNGrFu/Ht98+x2MRiPGjx+Hu+++GwPvfwC5ubmlBhtxPhcs+ALf//ADnn7qSaxbuwa977gLKSkpUJqwsDAsW7YES5csxfz5nyM4JBgTX30VN990E0aNLhlGCzRr1hRnz56Vgm2B5ORkKJW7uzuWLlmMFStWYu6nnyIoKAgTJozHbbfeiieferrU46ZOmYz+/e/D1DffgsVsweTJr6Np0yaYOPE1KFHbNm3w7nvvYOXK7/HjTz+hSZMmeOvNN9GqZUu8/c67pb4HiffaESNGIfpCdOH+s2fPQS0YbmRYOlp8Y58y9c3CXoy42DisWbNK+hZV9EP9Ro6RW5vWrXHfff0wYMD92LV7t7TPYDRIbxyixyktLa3UY0+ePImoqH1wBJcuXcbNXbtLH3yLv/u2QsfcP3CgFIrEUujiw2Hr1m0IC6uDSRNfUWy4Ed94u3fvIf334GcGV/g4U26uw5xLofcdd9r00pw4cQK///YrIiM7448//rR7zMsvv4Sff95R2IPx++9/IGrvbjz99FOYNWs2lCY2Nha33XY78vLybFZ9XfjFAuk9JiEhodRjr1295jDnU/TO3H3PvTa92+Lv9PP586T3VHuXIahVqxaeeWYwnn/hRWzcuKnw3/nii8+lHuSLFy9CaU6dPo1+/foXbouel+CgIDz00IOlhpsCR48dk37H1YhjbmpY586d4ebmJn2gFRAf/omJiehxS/cqO0Zu3bt3R1JScmGwETZv3gJXV1fpg6Isr7z8MlauXI6PPpwhfStWMtELUdo3+tJ0794Ne/butfnWK14b0bUs3lyV6HqvR+Pr4yOFvu++/QaTJr4Kfz8/KFnx8lNGRv62wWC0+3i9Xo8ukZHYunVr4T7xYSrKPLco9G9TtK9osBEy/32eRqOhzGNFqUb0Us377FMMevhhKJnFYilRthfn6uy5c6X+PnfterPUg7x9+8+F+37esUN6vbp36wolKl5iE70y4eHhOHr0WLnHvvXWVKxYsQzT35+G1q1bQU0YbmqY+IYu/ujEt6eirl2LRZ2wsCo7Rm6izbGxttfwEu0XbxKiW7w0hw8fxrJlyzFn9lzpw/+H71fiwQcfgJqI5y++Adu73pl43dRC1PvXr9+Ar77+GkuWLkWnTp3w88/bEBgYCEcxZvQoqSdjd5GQXnxMhyhfXb1W8nyG1XGMcyk+zEeMfBEHDhwsc5xQYmISvv/+B3wyaxZ27dqF//1vklR6VrqRI0dgw/p1iNq7BxEREXj44UFl/m0mp6TYBAYRkMQ4lrLet5RgxgfTsWnjBuzbt1dq/8hRo8t8vBhPJt5rP/10HswWi3SsGDeoFixL1TCDXi99wIuwUpT4ZRT3VdUxctMb9HYHO4teDvFt1x4xYK9P3/sKe0J2/vqr9HPK5DekN1W1sPfaFLyZ6vVlf3N2JGvXrpPGARQQ34Z/3bkDo0aNwOTJU6F0jz/+mHQTY4ZK+6YvviUL9s5nwX1KJ0rFUhm5/8AyHzdm7LjC5ykGzotyiBhvtuCLhTh48CCUat269fj777/RsGFDjBkzGpMnv4Hhw1+w+1jxfmrKKfm+Jc5nae9bSiHK/WKgcJvWraSxYmKMZmnjG0Wv/4CBDxR+pojJDKJX/Y3X/w/btm2HGrDnpoYlJ6dI3/TEYLei/Pz8pG8HVXWM3ESbxR9aUeKPR5TXympz8RLPr7/9Dn9/f8WWa66HmB1V/LUR51JQ6vm8HsU/8EUJb9eu3WjVSvnd32K8wjtvvyUNsN2xo/RZbAWlRXvn0xHO5f9emyTNwnzs8Sdx+vTpSp1PMbZDfOlq3aollOzChQvYs2evFLRfeGEE+vXti4iI8FLPp6+vT4n9+edTuYOnC8Yqih41Mbtv6ptvSUFOzP4r7Ytk8S/Lv/32Gxo1aiS9T6sBw00NKxj826FDe5tZJXXrhuHwkSNVdozcRJvFzKiiJYiO/04jPXy44m0ODg6S/gjFNE61OHT4MNq1a2uzr2PHjlLvwLlz6pmtUNr5LG9atdweeOB+aQzCmDHjpG/9ZREfhmKQqZhqXPx8Vub3XA4TJ76KJ598Ao8+9jj2799f6ePFlw7Rm5GZ6Th/mwWlfdF2ew4dOix9uLdo0aJwnxj87+3tjcNHDsNRxF6Llc6NaHdFBQcFSwG2smMIlYrhpoadPnNGqt+PHjWysJtz3NgxUl2/6IDh+fM/w/Dhwyp1jJL8vP1nxMXFS+0UdDodRo8ahb1RUdI3DEF0269fv1aaaivcfntPm29UdevWxejRo7Bz56+KnFJbUc2aNZOep/gpfP/999K01McefUTa9vPzxTODB+OHVasUvW5RRaaLi+dZ8M1vyJDnpOdWYOCAAejWrZtUrlKqgQMHSGMXxo4dj7Xr7LdT/F2Kv88CYgaj6P2o8+8YGzFuoW3bNli6dBmU6pVXXsbgp5+Sgs2+ffaDzbvvviP17AhivIkYQCzG5whurq7SYFTRm/HLzp1QoptvvgndigwCFr3fojdDzNTcvXtP4f5lSxcX/i3u3rNHen8aO3Z04XMdN3Yszp07j7/++htK1K9f38L3FkEEmuHDh+HUqVOFs7tEmBN/m2LAtNCnz71oVaTHTUxmGD58qDRDTMnr+VSGsouIKjVi5GgsWrQQ+/dHSbVcDTQYOnS4Te9Em9ZtEB8XX6ljlCQrOxtDhw3D/Hmf4a6775I+8MQg2meefc5m0T6x1kJQUH7vTnR0tPSG2qxpU+kbsVgzZtOmH/H6629Aydas/gE6vR5NGjeWuunFm0hCfELh+i6enh7S8xQ/C9aSGDtuPKa99y5GjBiBkJBg/PPPLrz11jtQKvHBPW/ep9J/B/j7S9OcxXnduzcKU6bkj58JDAyQnqc4r4II35t/+lH6fRXlSDH9dvLkKVi1quRCjUogfkc/+Xim1IM2ZOhz0q3AvHnzC6cG16tbV/r7LDBnzlw0btQIv/36Cy5fuYLQ2qHSlOqiMwWVti7K2DGjcfXqNbz5pu3Yp9cm/U/qWRTE36FYi6ngXLbv0B5vvPE6YmJipF5j8XsswpFSv3hciL6At99+C599Ojd/gHdYmPQe8+STT9vMVGzfvn1h2BGD4MV6UwsXLsD+fXulbdEzNWToUMV+6J8/H40ZM6ZLPeWi5N2gQX2p/Ft0fSkXF6P0t1lQ/o4+H41p096TjslIT0e9evWkcY3i91YteFVwGTVq1FBa+E0k7OJ/OGJaXkpKKi5dulThY5RI9NiIbwW5uSacOXO2xP3h4R2lRfqKrq0hpgsHBQdLtXKlhreiRLmt4FteATEosaBkKMZKtWjRHMePn7ApyYhvv40aN5LekMSHopK5uLjYnSqampIq9SwWfDsUb6yiJ6DoyqgNGzaA2WyRfpeL1/mVRJzDgtJpcRcuXER8fP6XDfEh6ePjjSNHjto8RqxOLNYXOR8dLa0bo1QFv4/2nDx5qrDt4u/WbM6zWdhNBEDxpUOUd8SgVEfg5eX17+zNOLtr+IiFRuPiYkvMFBPPX/xOiPfa0lb6VRIxBEDcrly5UhhKC4hectGbKM5l0WAnepBF4BHvtUpdNfx6MdwQERGRqnDMDREREakKww0RERGpCsMNERERqQrDDREREakKww0RERGpCsMNERERqQrDDREREakKww0RERGpCsMNERERqQrDDRE5NHEx2fvu6yddmqQocZFAcfFEInI+DDdE5NDExUo7d+qEb7/5Rro4pxAZGYmlSxZLwYeInA/DDRE5vLffeVe68J+4CrS3tzfmzP4ECxd+id9++13uphGRDHjhTCJShRYtWmDjhvU4d+4cLBYz+vS9D7m5uXI3i4hkwJ4bIlKF48ePY/2G9WjVqiXefvtdBhsiJ8ZwQ0Sq0K5dOwzo3x8nT57EmDGjodFo5G4SEcmE4YaIHJ6bmxvmzpmFJUuW4uFBj6JZs6YYMeJFuZtFRDJhuCEihzd1ymRYLBa8+dbbiI2NxUsvvYKXJoxH27Zt5W4aEcmA4YaIHFpYWBg8PT0xYsQoacaUsHnLFsyY8SHuvKO33M0jIhlwthQRERGpCntuiIiISFUYboiIiEhVGG6IiIhIVRhuiIiISFUYboiIiEhVGG6IiIhIVRhuiIiISFUYboiIiEhVGG6IiIhIVRhuiIiISFUYboiIiEhVGG6IiIgIavL/AkJPVqWcPOUAAAAASUVORK5CYII="
+ },
+ "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": [
+ ""
+ ],
+ "image/png": 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"
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "execution_count": 9
}
],
"metadata": {