{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# SVM Lineal" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vamos a trabajar con el dataset Iris:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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IdSepalLengthCmSepalWidthCmPetalLengthCmPetalWidthCmSpecies
015.13.51.40.2Iris-setosa
124.93.01.40.2Iris-setosa
234.73.21.30.2Iris-setosa
344.63.11.50.2Iris-setosa
455.03.61.40.2Iris-setosa
565.43.91.70.4Iris-setosa
674.63.41.40.3Iris-setosa
785.03.41.50.2Iris-setosa
894.42.91.40.2Iris-setosa
9104.93.11.50.1Iris-setosa
10115.43.71.50.2Iris-setosa
11124.83.41.60.2Iris-setosa
12134.83.01.40.1Iris-setosa
13144.33.01.10.1Iris-setosa
14155.84.01.20.2Iris-setosa
15165.74.41.50.4Iris-setosa
16175.43.91.30.4Iris-setosa
17185.13.51.40.3Iris-setosa
18195.73.81.70.3Iris-setosa
19205.13.81.50.3Iris-setosa
20215.43.41.70.2Iris-setosa
21225.13.71.50.4Iris-setosa
22234.63.61.00.2Iris-setosa
23245.13.31.70.5Iris-setosa
24254.83.41.90.2Iris-setosa
25265.03.01.60.2Iris-setosa
26275.03.41.60.4Iris-setosa
27285.23.51.50.2Iris-setosa
28295.23.41.40.2Iris-setosa
29304.73.21.60.2Iris-setosa
.....................
1201216.93.25.72.3Iris-virginica
1211225.62.84.92.0Iris-virginica
1221237.72.86.72.0Iris-virginica
1231246.32.74.91.8Iris-virginica
1241256.73.35.72.1Iris-virginica
1251267.23.26.01.8Iris-virginica
1261276.22.84.81.8Iris-virginica
1271286.13.04.91.8Iris-virginica
1281296.42.85.62.1Iris-virginica
1291307.23.05.81.6Iris-virginica
1301317.42.86.11.9Iris-virginica
1311327.93.86.42.0Iris-virginica
1321336.42.85.62.2Iris-virginica
1331346.32.85.11.5Iris-virginica
1341356.12.65.61.4Iris-virginica
1351367.73.06.12.3Iris-virginica
1361376.33.45.62.4Iris-virginica
1371386.43.15.51.8Iris-virginica
1381396.03.04.81.8Iris-virginica
1391406.93.15.42.1Iris-virginica
1401416.73.15.62.4Iris-virginica
1411426.93.15.12.3Iris-virginica
1421435.82.75.11.9Iris-virginica
1431446.83.25.92.3Iris-virginica
1441456.73.35.72.5Iris-virginica
1451466.73.05.22.3Iris-virginica
1461476.32.55.01.9Iris-virginica
1471486.53.05.22.0Iris-virginica
1481496.23.45.42.3Iris-virginica
1491505.93.05.11.8Iris-virginica
\n", "

150 rows × 6 columns

\n", "
" ], "text/plain": [ " Id SepalLengthCm SepalWidthCm PetalLengthCm PetalWidthCm \\\n", "0 1 5.1 3.5 1.4 0.2 \n", "1 2 4.9 3.0 1.4 0.2 \n", "2 3 4.7 3.2 1.3 0.2 \n", "3 4 4.6 3.1 1.5 0.2 \n", "4 5 5.0 3.6 1.4 0.2 \n", "5 6 5.4 3.9 1.7 0.4 \n", "6 7 4.6 3.4 1.4 0.3 \n", "7 8 5.0 3.4 1.5 0.2 \n", "8 9 4.4 2.9 1.4 0.2 \n", "9 10 4.9 3.1 1.5 0.1 \n", "10 11 5.4 3.7 1.5 0.2 \n", "11 12 4.8 3.4 1.6 0.2 \n", "12 13 4.8 3.0 1.4 0.1 \n", "13 14 4.3 3.0 1.1 0.1 \n", "14 15 5.8 4.0 1.2 0.2 \n", "15 16 5.7 4.4 1.5 0.4 \n", "16 17 5.4 3.9 1.3 0.4 \n", "17 18 5.1 3.5 1.4 0.3 \n", "18 19 5.7 3.8 1.7 0.3 \n", "19 20 5.1 3.8 1.5 0.3 \n", "20 21 5.4 3.4 1.7 0.2 \n", "21 22 5.1 3.7 1.5 0.4 \n", "22 23 4.6 3.6 1.0 0.2 \n", "23 24 5.1 3.3 1.7 0.5 \n", "24 25 4.8 3.4 1.9 0.2 \n", "25 26 5.0 3.0 1.6 0.2 \n", "26 27 5.0 3.4 1.6 0.4 \n", "27 28 5.2 3.5 1.5 0.2 \n", "28 29 5.2 3.4 1.4 0.2 \n", "29 30 4.7 3.2 1.6 0.2 \n", ".. ... ... ... ... ... \n", "120 121 6.9 3.2 5.7 2.3 \n", "121 122 5.6 2.8 4.9 2.0 \n", "122 123 7.7 2.8 6.7 2.0 \n", "123 124 6.3 2.7 4.9 1.8 \n", "124 125 6.7 3.3 5.7 2.1 \n", "125 126 7.2 3.2 6.0 1.8 \n", "126 127 6.2 2.8 4.8 1.8 \n", "127 128 6.1 3.0 4.9 1.8 \n", "128 129 6.4 2.8 5.6 2.1 \n", "129 130 7.2 3.0 5.8 1.6 \n", "130 131 7.4 2.8 6.1 1.9 \n", "131 132 7.9 3.8 6.4 2.0 \n", "132 133 6.4 2.8 5.6 2.2 \n", "133 134 6.3 2.8 5.1 1.5 \n", "134 135 6.1 2.6 5.6 1.4 \n", "135 136 7.7 3.0 6.1 2.3 \n", "136 137 6.3 3.4 5.6 2.4 \n", "137 138 6.4 3.1 5.5 1.8 \n", "138 139 6.0 3.0 4.8 1.8 \n", "139 140 6.9 3.1 5.4 2.1 \n", "140 141 6.7 3.1 5.6 2.4 \n", "141 142 6.9 3.1 5.1 2.3 \n", "142 143 5.8 2.7 5.1 1.9 \n", "143 144 6.8 3.2 5.9 2.3 \n", "144 145 6.7 3.3 5.7 2.5 \n", "145 146 6.7 3.0 5.2 2.3 \n", "146 147 6.3 2.5 5.0 1.9 \n", "147 148 6.5 3.0 5.2 2.0 \n", "148 149 6.2 3.4 5.4 2.3 \n", "149 150 5.9 3.0 5.1 1.8 \n", "\n", " Species \n", "0 Iris-setosa \n", "1 Iris-setosa \n", "2 Iris-setosa \n", "3 Iris-setosa \n", "4 Iris-setosa \n", "5 Iris-setosa \n", "6 Iris-setosa \n", "7 Iris-setosa \n", "8 Iris-setosa \n", "9 Iris-setosa \n", "10 Iris-setosa \n", "11 Iris-setosa \n", "12 Iris-setosa \n", "13 Iris-setosa \n", "14 Iris-setosa \n", "15 Iris-setosa \n", "16 Iris-setosa \n", "17 Iris-setosa \n", "18 Iris-setosa \n", "19 Iris-setosa \n", "20 Iris-setosa \n", "21 Iris-setosa \n", "22 Iris-setosa \n", "23 Iris-setosa \n", "24 Iris-setosa \n", "25 Iris-setosa \n", "26 Iris-setosa \n", "27 Iris-setosa \n", "28 Iris-setosa \n", "29 Iris-setosa \n", ".. ... \n", "120 Iris-virginica \n", "121 Iris-virginica \n", "122 Iris-virginica \n", "123 Iris-virginica \n", "124 Iris-virginica \n", "125 Iris-virginica \n", "126 Iris-virginica \n", "127 Iris-virginica \n", "128 Iris-virginica \n", "129 Iris-virginica \n", "130 Iris-virginica \n", "131 Iris-virginica \n", "132 Iris-virginica \n", "133 Iris-virginica \n", "134 Iris-virginica \n", "135 Iris-virginica \n", "136 Iris-virginica \n", "137 Iris-virginica \n", "138 Iris-virginica \n", "139 Iris-virginica \n", "140 Iris-virginica \n", "141 Iris-virginica \n", "142 Iris-virginica \n", "143 Iris-virginica \n", "144 Iris-virginica \n", "145 Iris-virginica \n", "146 Iris-virginica \n", "147 Iris-virginica \n", "148 Iris-virginica \n", "149 Iris-virginica \n", "\n", "[150 rows x 6 columns]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "iris=pd.read_csv('Iris.csv')\n", "iris" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import seaborn as sns\n", "sns.scatterplot('PetalLengthCm', 'PetalWidthCm', hue='Species', data=iris)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Usaremos una SVM para separar setosa de versicolor" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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IdSepalLengthCmSepalWidthCmPetalLengthCmPetalWidthCmSpecies
015.13.51.40.2Iris-setosa
124.93.01.40.2Iris-setosa
234.73.21.30.2Iris-setosa
344.63.11.50.2Iris-setosa
455.03.61.40.2Iris-setosa
565.43.91.70.4Iris-setosa
674.63.41.40.3Iris-setosa
785.03.41.50.2Iris-setosa
894.42.91.40.2Iris-setosa
9104.93.11.50.1Iris-setosa
10115.43.71.50.2Iris-setosa
11124.83.41.60.2Iris-setosa
12134.83.01.40.1Iris-setosa
13144.33.01.10.1Iris-setosa
14155.84.01.20.2Iris-setosa
15165.74.41.50.4Iris-setosa
16175.43.91.30.4Iris-setosa
17185.13.51.40.3Iris-setosa
18195.73.81.70.3Iris-setosa
19205.13.81.50.3Iris-setosa
20215.43.41.70.2Iris-setosa
21225.13.71.50.4Iris-setosa
22234.63.61.00.2Iris-setosa
23245.13.31.70.5Iris-setosa
24254.83.41.90.2Iris-setosa
25265.03.01.60.2Iris-setosa
26275.03.41.60.4Iris-setosa
27285.23.51.50.2Iris-setosa
28295.23.41.40.2Iris-setosa
29304.73.21.60.2Iris-setosa
.....................
70715.93.24.81.8Iris-versicolor
71726.12.84.01.3Iris-versicolor
72736.32.54.91.5Iris-versicolor
73746.12.84.71.2Iris-versicolor
74756.42.94.31.3Iris-versicolor
75766.63.04.41.4Iris-versicolor
76776.82.84.81.4Iris-versicolor
77786.73.05.01.7Iris-versicolor
78796.02.94.51.5Iris-versicolor
79805.72.63.51.0Iris-versicolor
80815.52.43.81.1Iris-versicolor
81825.52.43.71.0Iris-versicolor
82835.82.73.91.2Iris-versicolor
83846.02.75.11.6Iris-versicolor
84855.43.04.51.5Iris-versicolor
85866.03.44.51.6Iris-versicolor
86876.73.14.71.5Iris-versicolor
87886.32.34.41.3Iris-versicolor
88895.63.04.11.3Iris-versicolor
89905.52.54.01.3Iris-versicolor
90915.52.64.41.2Iris-versicolor
91926.13.04.61.4Iris-versicolor
92935.82.64.01.2Iris-versicolor
93945.02.33.31.0Iris-versicolor
94955.62.74.21.3Iris-versicolor
95965.73.04.21.2Iris-versicolor
96975.72.94.21.3Iris-versicolor
97986.22.94.31.3Iris-versicolor
98995.12.53.01.1Iris-versicolor
991005.72.84.11.3Iris-versicolor
\n", "

100 rows × 6 columns

\n", "
" ], "text/plain": [ " Id SepalLengthCm SepalWidthCm PetalLengthCm PetalWidthCm \\\n", "0 1 5.1 3.5 1.4 0.2 \n", "1 2 4.9 3.0 1.4 0.2 \n", "2 3 4.7 3.2 1.3 0.2 \n", "3 4 4.6 3.1 1.5 0.2 \n", "4 5 5.0 3.6 1.4 0.2 \n", "5 6 5.4 3.9 1.7 0.4 \n", "6 7 4.6 3.4 1.4 0.3 \n", "7 8 5.0 3.4 1.5 0.2 \n", "8 9 4.4 2.9 1.4 0.2 \n", "9 10 4.9 3.1 1.5 0.1 \n", "10 11 5.4 3.7 1.5 0.2 \n", "11 12 4.8 3.4 1.6 0.2 \n", "12 13 4.8 3.0 1.4 0.1 \n", "13 14 4.3 3.0 1.1 0.1 \n", "14 15 5.8 4.0 1.2 0.2 \n", "15 16 5.7 4.4 1.5 0.4 \n", "16 17 5.4 3.9 1.3 0.4 \n", "17 18 5.1 3.5 1.4 0.3 \n", "18 19 5.7 3.8 1.7 0.3 \n", "19 20 5.1 3.8 1.5 0.3 \n", "20 21 5.4 3.4 1.7 0.2 \n", "21 22 5.1 3.7 1.5 0.4 \n", "22 23 4.6 3.6 1.0 0.2 \n", "23 24 5.1 3.3 1.7 0.5 \n", "24 25 4.8 3.4 1.9 0.2 \n", "25 26 5.0 3.0 1.6 0.2 \n", "26 27 5.0 3.4 1.6 0.4 \n", "27 28 5.2 3.5 1.5 0.2 \n", "28 29 5.2 3.4 1.4 0.2 \n", "29 30 4.7 3.2 1.6 0.2 \n", ".. ... ... ... ... ... \n", "70 71 5.9 3.2 4.8 1.8 \n", "71 72 6.1 2.8 4.0 1.3 \n", "72 73 6.3 2.5 4.9 1.5 \n", "73 74 6.1 2.8 4.7 1.2 \n", "74 75 6.4 2.9 4.3 1.3 \n", "75 76 6.6 3.0 4.4 1.4 \n", "76 77 6.8 2.8 4.8 1.4 \n", "77 78 6.7 3.0 5.0 1.7 \n", "78 79 6.0 2.9 4.5 1.5 \n", "79 80 5.7 2.6 3.5 1.0 \n", "80 81 5.5 2.4 3.8 1.1 \n", "81 82 5.5 2.4 3.7 1.0 \n", "82 83 5.8 2.7 3.9 1.2 \n", "83 84 6.0 2.7 5.1 1.6 \n", "84 85 5.4 3.0 4.5 1.5 \n", "85 86 6.0 3.4 4.5 1.6 \n", "86 87 6.7 3.1 4.7 1.5 \n", "87 88 6.3 2.3 4.4 1.3 \n", "88 89 5.6 3.0 4.1 1.3 \n", "89 90 5.5 2.5 4.0 1.3 \n", "90 91 5.5 2.6 4.4 1.2 \n", "91 92 6.1 3.0 4.6 1.4 \n", "92 93 5.8 2.6 4.0 1.2 \n", "93 94 5.0 2.3 3.3 1.0 \n", "94 95 5.6 2.7 4.2 1.3 \n", "95 96 5.7 3.0 4.2 1.2 \n", "96 97 5.7 2.9 4.2 1.3 \n", "97 98 6.2 2.9 4.3 1.3 \n", "98 99 5.1 2.5 3.0 1.1 \n", "99 100 5.7 2.8 4.1 1.3 \n", "\n", " Species \n", "0 Iris-setosa \n", "1 Iris-setosa \n", "2 Iris-setosa \n", "3 Iris-setosa \n", "4 Iris-setosa \n", "5 Iris-setosa \n", "6 Iris-setosa \n", "7 Iris-setosa \n", "8 Iris-setosa \n", "9 Iris-setosa \n", "10 Iris-setosa \n", "11 Iris-setosa \n", "12 Iris-setosa \n", "13 Iris-setosa \n", "14 Iris-setosa \n", "15 Iris-setosa \n", "16 Iris-setosa \n", "17 Iris-setosa \n", "18 Iris-setosa \n", "19 Iris-setosa \n", "20 Iris-setosa \n", "21 Iris-setosa \n", "22 Iris-setosa \n", "23 Iris-setosa \n", "24 Iris-setosa \n", "25 Iris-setosa \n", "26 Iris-setosa \n", "27 Iris-setosa \n", "28 Iris-setosa \n", "29 Iris-setosa \n", ".. ... \n", "70 Iris-versicolor \n", "71 Iris-versicolor \n", "72 Iris-versicolor \n", "73 Iris-versicolor \n", "74 Iris-versicolor \n", "75 Iris-versicolor \n", "76 Iris-versicolor \n", "77 Iris-versicolor \n", "78 Iris-versicolor \n", "79 Iris-versicolor \n", "80 Iris-versicolor \n", "81 Iris-versicolor \n", "82 Iris-versicolor \n", "83 Iris-versicolor \n", "84 Iris-versicolor \n", "85 Iris-versicolor \n", "86 Iris-versicolor \n", "87 Iris-versicolor \n", "88 Iris-versicolor \n", "89 Iris-versicolor \n", "90 Iris-versicolor \n", "91 Iris-versicolor \n", "92 Iris-versicolor \n", "93 Iris-versicolor \n", "94 Iris-versicolor \n", "95 Iris-versicolor \n", "96 Iris-versicolor \n", "97 Iris-versicolor \n", "98 Iris-versicolor \n", "99 Iris-versicolor \n", "\n", "[100 rows x 6 columns]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "setosa_versicolor=iris[(iris.Species=='Iris-setosa')|(iris.Species=='Iris-versicolor')]\n", "setosa_versicolor" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.scatterplot('PetalLengthCm', 'PetalWidthCm', hue='Species', data=setosa_versicolor)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "X=setosa_versicolor[['PetalLengthCm', 'PetalWidthCm']]\n", "y=setosa_versicolor['Species']" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "SVC(C=inf, cache_size=200, class_weight=None, coef0=0.0,\n", " decision_function_shape='ovr', degree=3, gamma='auto_deprecated',\n", " kernel='linear', max_iter=-1, probability=False, random_state=None,\n", " shrinking=True, tol=0.001, verbose=False)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.svm import SVC\n", "svm_clf = SVC(kernel='linear', C=float('inf')) # Definir\n", "svm_clf.fit(X,y) # Ajustar" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Los $w_1$ y $w_2$:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1.29411744, 0.82352928]])" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "svm_clf.coef_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "El $b$:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-3.78823471])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "svm_clf.intercept_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Los vectores soporte:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1.9, 0.4],\n", " [3. , 1.1]])" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "svm_clf.support_vectors_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Para pintarnos el hiperplano separador:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "def plot_svc_decision_boundary(svm_clf, xmin, xmax):\n", " w = svm_clf.coef_[0]\n", " b = svm_clf.intercept_[0]\n", "\n", " # At the decision boundary, w0*x0 + w1*x1 + b = 0\n", " # => x1 = -w0/w1 * x0 - b/w1\n", " x0 = np.linspace(xmin, xmax, 200)\n", " decision_boundary = -w[0]/w[1] * x0 - b/w[1]\n", "\n", " margin = 1/w[1]\n", " gutter_up = decision_boundary + margin\n", " gutter_down = decision_boundary - margin\n", "\n", " svs = svm_clf.support_vectors_\n", " plt.scatter(svs[:, 0], svs[:, 1], s=180, facecolors='#FFAAAA')\n", " plt.plot(x0, decision_boundary, \"r-\", linewidth=2)\n", " plt.plot(x0, gutter_up, \"k--\", linewidth=2)\n", " plt.plot(x0, gutter_down, \"k--\", linewidth=2)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[0, 5.5, 0, 2]" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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5yZB34cp0WojHHIZS6t9KqQyl1JEmjk9XSuUppQ44t1/WOjZHKXVSKXVGKfWQpzS2F6q/uFavXk2VxYE/blM7g21FRfNtvYzq575+/XpKSz2Yb6i9UlkOaYdh7TJ4fjZ8/Ce9culyyE2GzT/WEdubf6zfg16ptPknsHIWvHZPTbR1USZ8+Ii2v3IXXDxdN9CuPgXp8Ok/4MWb4eUEHSFeknd5Wi3Ekz2MF4A5LbT5WERGOreHAZRSvsAzwFxgKLBUKTXUgzrbPJMnTyY2NpaUlBS2b99utRz3GDUKBg+GzEx4/32r1bjF4MGDGT16NPn5+bz99ttWy2l7FGfB89frdB65SfDR72D/f11PHlhNXgqsXw5HX4P88/p1/de1feMP9DXzUuDkJnhxgc479dHvYffTkJcMidvg3zc07ayqquD0u/D+LyE7US+VfXEBlNgsoBYPOgwR2Q5czhMZD5wRkUQRKQfWAgtaVVw7w8fHh2XO4kS2Gx6xeQZbMyzlQS6ehIp66TsOrWs6B1RTVFVCSr1Yn5S92vGc3FTXnp2o73lkQ117cRYUN+EwijPhcL3cYlWVkGi/uS2r5zAmKaUOKqXeUUpd47TFAMm12qQ4bY2ilLpbKbVXKbXX1FRumjvvvBNfX18KCwutluI+1ZX4Xn8dbKZ/yZIl+Pn5UVJSYr/hQG8nrJEqhxF9wC/QvesoXwiqF6QX1Al8fCG8Z127b4C2R8Q2vE5Qx8av7xcCneIa2rv0c0+nF2Clw9gPxIrICOAp4HWnvbFQxibXVIrIcyIyVkTG2rY86VVg6NChpKWlsWbNGquluE/fvjB5MhQXwxtvWK3GLXr06EFqairvvPOOPSPuvZmQSBhVK11Ghwi4/rdNf3E3RUAYzP+jdgSgX+f9QdsXPKOdBOje7vWPQnAXuPFJCAipucZ1D0JAE/cNCoWpD9ZNf95/NnTp755OL8Cjkd5KqThgo4jEu9D2HDAWGAD8WkRucNp/AiAij7d0DRPp3Yb5+9/h/vthzhx45x2r1Ri8heJsPQRVkqN7AyGRNV/87lCQBo4yyPkSInqDTwB0jIaKEn3tvBQI6657HkEdwVGhh6Fyv4SQbjqNSHOpRADyzus5ksBQ7dwa6yFZgNekBmnOYSilugPpIiJKqfHAeiAW8AVOAbOA88AeYJmIHG3pfsZhtExVVRXbt29n1KhRhIc3kVzNG7l4UcdkiMCFC9Ctm9WK3EJE+PTTT+nTpw9RUY1kIjUYLMIrUoMopdYAu4FBSqkUpdQ3lVL3KqXudTZZBBxRSh0E/gYsEU0lsAJ4FzgOvOyKszC4xrJly5gxYwbr16+3Wop7dO0KN9wADodeYmszHnjgASZNmsQLL7xgtRSD4bLx5CqppSISLSL+ItJTRJ4XkWdF5Fnn8adF5BoRGSEiE0VkV61zN4nIQBHpJyK/9ZTG9sj1118P2HTVzp136lcbarf1czcYnJhste2MvLw8oqKiKC8vJzk5mZiYJhegeR/FxTqDbWEhnD4N/e0zaVheXk50dDTZ2dkcOnSIYcOGWS3JYAC8ZEjK4J2Eh4dz4403IiL2WzEVHAy33qr3bfZLPSAggMWLFwOmlwHUpNUoSNc1sq8meef1VuBiNcfibN22qN6y/cIM57VS6pZOLSvQn6swvfnobxtiHEY75E7n0M5LNqyZbecMtrZO0dKaFGfBzr/CU6Pg6THw6bP6S9nTVFZA6iFYtRD+MhTWfwNyWiijm5cC6+6EPw2C/94E6Ue1E8g/D298B568Rtu/3A1lRToK/K3vwV+GwHMz4IsPdS6qNoJxGO2QuXPn0qlTJw4ePMjRozZbTzBrlh6WOn0abDb8OGXKFHr37k1ycjIff/yx1XKs4/x+2PaY/iItK9ApMzJPeP6+RemwahFkHNfvk3bC6/c23dMozoFX79btQJ/3v1t0z+Hdn8Hp9/WPluxEWL0Yygth1191FHi1U1lzh/uR516McRjtkMDAQBYvXkxMTAxffvml1XLcw88PlizR+zYb2qlO0RIZGUlqaqrVcqxBBI6+2tB+7C3P37uiWH/Z1yZpV9PDRo6yGmdRTWGGdgyJ2+ray4ugLB9OvVvXXuWAzFNXJNubMA6jnfKHP/yBpKQk5s6da7UU96kellq7FirdTDRnMT/96U85f/48S6qdXntDKYi9tqE9brLn7+0fXDc6GyBycNPtlW/D4wEh+jpR9ULLfHz1seiRDa/TOe6y5HojxmG0U8LDw/H1vYyIWG9g7FgYMADS0+GDD6xW4xZhYWH4+/tbLcNaBl4P/a+veT/kZug9yfP3DQqHW56tcRohkXDrPyG8iZWCoZGw8HndDvR5t62E4K4w/88Q3kvb/QJh3h/BrwN85VfQdaC2+/jBrF9Ch86e/VxXEbOstp2TmZnJ0aNHmT59utVS3OM3v4Ff/xq++lV48UWr1bhNTk4O+/bt4ytf+YrVUqyhOFsP7Sgf8A+B4Iirc9/SAijLg/Ji7QBCujafrNBRqSfpywshIBiCIsA/SK+KKkjVw1x+QTXpPsA5bFWkrxsYpjcvxmtSg1xtjMNwj6SkJPr160d4eDipqakEBARYLcl1zpzRvYzQUN3TCA62WpHL5OTk0KNHD0SE9PR0e6VoMbQ5TByGwSViY2MZOnQo2dnZbN682Wo57tG/P0yYoIP43nzTajVuERERwcSJEykrK2PDhg0tn2AweAnGYbRzqmMybBlMZuPCSrZ+7oZ2ixmSauckJycTGxtLYGAg6enpdOzoZi0BK8nIgB499Mqb1FSdoNAm5ObmEhUVRUVFhf1StBjaFGZIyuAyvXr1YurUqZSWlvLqq42sj/dmunWD2bP10tqXX7ZajVt06tTpUoqWtWvXWi3HdYoydQ2IglRdK6K1KUjX189JgvxasSrFOZCbDDnn9L2rKc3T9uyzkH+hxl5eqOttZyXq9B3VOCp0oF5Okp6crv7B7HDoe+ck6VeHMzZDRLfLSXLWzKho/c9sI4zDMNi77rSNM9ja7rnnpcCLt8CTw+CpMXD0dShrxZK5+RfgoyfgbyPhr8Ph7R9qp1GQDp/8HZ4aDX8dARu+re2FmXBgDTwzTp+zNkFrLM6Bk5vh75N0+pGXbtXR2JVlkLQb/jFJX3/lV+DiKR1cl34Inpuq7c9NhbSD2n7xtG731+H6vKRdVz/3lRdhHIaBRYsW0aFDB/z8/Ki0WSAcCxboFVK7dkFiotVq3GLevHlEREQQFhbm/bXWSwtg808h/Yh+X16kcymV5rbePTKOw97nayKvT74Np9+DwjTY/ntwlGv7uY/hs3/q95t/XNPTubAfPngEKop0yo+yAm3PPKmdT9FFWJdQk7cqNwk2fFP3HNYm1KQIKUjT+aMK0mDDN3Q70Oetu7NNpfpwF7cchlKqo1Kqc/XmKVGGq0tERMSlutN+fn5Wy3GP0FC45Ra9v3q1tVrcJCgoiLNnz/LRRx8RGhpqtZzmqSiG83vq2qSq7jDQlZK0q6EtOxEuHGhoT/4Uii82tKcfgaKshkNH5/dDVYVO31GbtMOA6LxPtck/r+1ph+vay/J1DEc7xSWHoZS6RymVDhwC9jk3M7vchrB1LICNM9ja5rkHhkLcdXVtPn66jnZr0W9mQ1u3odBrfEN7n+kQ3E0H/tWm5zhnMF5QXXvsFPANgOB6v3N7jtXX6Ny3rj2ij7b3HFfXHty5YXqRdoSrPYwHgWtEJE5E+ji3vi2eZbAVVVVV7Nixg+TkZKuluMfs2RAZCSdOwOefW63GbUSEPXv2cPr0aaulNE1ACMx+GPpM1e9DIuGOVRDUqfXu0bkPTPsx+HfQzmjU1/T9grvAnCcgsKP+Eh+6AMbcBf6BcNtzNU6g/yyY9iPd7o5VENZd23tPhLm/g5BukLAeOsVqe/fhOvVHWDQsXQNdB2h71wH6fVg0LFwJ0SO0vVOsPj+4S+t9ZrshIi1uwGYg2JW2tc75N5ABHGnieAK6x3II2AWMqHXsHHAYOADsdfWeY8aMEcPl88Mf/lAA+fnPf261FPdZsUIERH7wA6uVuM1jjz0mgNx3331WS2mZomyRvPMi+akilRUeuH6WSM6XeivIqLGXFojkJje0lxeL5CSL5CSJFKTV2CvKaux5F2rsDodIQbpIbopIYWbde1fbC9Lr2gsznPY0fX4bw53vWJfiMJRSo4D/AJ8Cl5YIiMh3mzlnKlAIvCgi8Y0cnwwcF5EcpdRc4NciMsF57BwwVkQaGaRsGhOHcWV8+OGHzJo1iz59+vDFF1+glLJakut88glMmgTR0ZCcDDZKrHjw4EFGjhxJ586d7ZeixWB7PBGH8U/gQ+ATauYw9jV3gohsB5osoyUiu0SkernBJ0ArDoYaLodp06bRo0cPzp49y+7du62W4x4TJkC/fjqAb+tWq9W4xfDhw4mPjyc7O5t333235RMMBotw1WFUisgPROQ/IvLf6q0VdXwTeKfWewHeU0rtU0rd3dyJSqm7lVJ7lVJ7MzMzm2tqaAFfX1+WLl0K2Cg2oBqlYNkyvW8z7Uop+8VkGNolrg5J/RZIAt6i7pBUs4V4lVJxwMbGhqRqtZkB/B24VkSynLYeInJBKdUNeB94wNljaRYzJHXlHDhwgFGjRtGlSxdSU1PtVbvh5EkYPBjCwnQG2w4drFbkMklJScTFxREUFGS/FC0GW+OJIallwE/Qk9OttqxWKTUcWAksqHYWACJywfmaAbwGNLKuzuAJRowYwdChQ8nKyrLf8MigQbq4UkEBbNxotRq3iI2NvZSi5bXXXrNajucpughZX+g4i6KsGntxlk7zcfGMTkPSEiW5OgVIxgkdEd7SD+DyIh07kn5MB+ZVll+e/upUIhnHdOqR0vyWz2kDuBSlJSJ9WvvGSqnewKvAV0XkVC17COAjIgXO/euBh1v7/obGqR4eefrpp8nNbcUo3qtFQgLs3auHpRYvtlqNWyQkJHD06FGKioqsluJZCjNhzRI47/zNGXst3P4CoODVe+CLLdrefRjcuQFCoxq/TnEOfPxH2P20fh8WDd/YDBFxjbcvL4Zjb8KbK6CqUi8V/urrOtbC3QUeWafgP3N11LdSMOs3MHY5BLXtnmGzQ1JKqTudbf5Xz/5toEhEmgytVUqtAaYDXYF04FeAP4CIPKuUWgksRA91gZ4nGauU6ovuVYB2aKtF5LeufBgzJNU6FBcXExgYaM8SrmlpEBOjV0mlpUFn+yQkKC0txdfX117DgJfDnufh7R/UtS17BcShHUltvvIbmPxd8GlkMOTiaXi63kjK4Jvg1n80XuUuP1XnnKosrbF17gvfeBdCu7muvzgL1izV0ebVKAXfP9K6gYxXCXeGpFrqYfwQmNqIfR2wFWjSYYjI0uYuLCLfAr7ViD0RGNGCLoMHCbZR9boGdO8Os2bB++/DK6/APfdYrchlgoKCWm5kd0R0mo76FKTW5HKqTeoBnebDp5EyqnkpDW0XT+rcUo05jMqSus4CIOesTnHiDo4KnbSwNiJ6eMyGDsMdWprD8BWRgvpGEcnH2VswtF2ysrJ46623rJbhPjbOYAuQl5fXducxlIKRjfyW7DEShsxvaB+xVEd0N0bkoIb1uK+5penoc/8QCO9V19Z3ZsM0Ii0RGAaDb6xrC+qkU5K0cVpyGP7OeYQ6KKXCABNd1IYpKiqid+/e3HLLLaSlNfLLz5u59Va9QurjjyEpqeX2XoTD4WDQoEHcdtttnDx50mo5nqHbNTD/L9AxBjr1hgV/168de8Gi/+g8TmHRcMPjDXM51Sa4M9y1Uc91dIiACffC+LvBr4mvptBu8LU3dF6pwI4wZAHc8gx0cDO9SUAIzPoljLxTO4qY0fD1tyG47TuMltJ7PIiOj4irZYsD3gb+n6vh5FdrM6lBWpebbrpJAHnyySetluI+d9yhU4U8/rjVStxm+fLlAsgvfvELq6V4DkeFTrVRkCZSWVnLXqlTc+SniVSWu3atwkydqqS82LX2Rdm6fWm++7prU1aor1M/xYjNwI3UIM32METkj8AbwEdKqSylVBbwETq24g+ecmIG78DWwWTVGWxfesl2GWwvPff//hfZsUNHru/cCWfP6uqCbQEfP736KTSqbhoXH189frnGAAAgAElEQVTdEwiLAl8XR71DuupEg/4uxt0ER+j2jc1zuENAiL5OOxiKqsblmt5KqVBn+wZzGt6CWSXVuhQXFxMVFUVhYSGnTp1iwIABVktynfJyXe87KwsOHIARNllHIYLj4EF6zZxJak4Oux59lEkDB+pj1V+sAwZAfLz7S0ENhkZo9cA9pVQgcDPwgFLql9XblYg0eD/BwcEsXLgQsGEvIyAAbr9d79tFuwjs3IlvYiLLpkwBYNXHH9ccdzj0dvq07nHYrOdksD+uRnq/ASwAKoGiWpuhjVN7WMrV3qjXUD0stXo1VLm5dNIKjhyBjAxwOEi4ThcrWrd7NxX1l9s6HLrdkSMWiDS0Z1ytx9lTROZ4VInBK5k5cyYxMTHExsaSm5tLRESE1ZJcZ/JkiIuDc+fgo49gxgyrFTVNZaXuOTh0PeuRAwYwdEA/IjqGkBaUSa/x0+B4EmQ602hU9zSGDAFvLasrAoUZkH5UV+yL6AOhkfpYYQZkngDlqwsWuRM4Z7AMV//SdimlhonI4ZabGtoSvr6+nDp1yp7BfNUZbB97TA9LebPDqFflUI0azJ4HBxJ8YSfs/D/Y2xG+9g4UFkNJSd3z+rR65p7WIT8Fnpuu80YBRI+EhFd0oNzzsyH3S23v0g+Wv9N0ChCD19DskJRS6rBS6hBwLbBfKXVSKXWolt3QDrCls6imelhq/XooLW2+rZVcuHCpd0FQEDiytbOopiwfPv4d9Kr1pepw6PO8kcpy2PlUjbMAHbV94XM4/X6NswCdhPDE21dfo8FtWuph3NjCcUM7QUTYvXs3HTt2JD6+yWz13sfQoTBqlK71vWkT3Hab1Yoap7xW1lR/fyhMB/Rz/zytiiqBsT3TwL/eb7yKiqso0g2qKiDvy4b2vBQoa2T6M8deAZbtlZbiMJJEJAl4tHq/tu3qSDR4A08++SRTpkzhiSeesFqK+1T3Mrx5tVTtsqwFBRA1AgJCeOlQBWOeK+IXW0thxFchs7Dued6aqDAgBMbVq33m6w8DZkO/ekODSukUIAavx9VVUtfUfqOU8gXGtL4cg7dy8803A/Daa6/ZL/32kiX6S2njRsjJabm9FfToUTeA7VQyfG0zc+fMwc9H8f5ZIb0qTq+OqsbXV5/nrcSMhtv/p9N79JsJ3/oAQrpBRCx87U2InQxx18HX32nzSfvaCi3NYfxEKVUADFdK5Tu3AiADvdTW0E7o168fEydOpKioiDfesNk/fUyMnvAuL4cNG6xW0zi96iXFS8+Eg8l0nfQz5ky9FoejinXPvtDyed5Eh04w9GZY9jIsfgGiR4B/kK4Z0Xca3LEa7ngJYifpVVQGr6elIanHRSQM+IOIdHRuYSLSRUR+cpU0GryEO51ZYG0XxAfen8HWz09HcNfuZRQXw8mzJIwYDcCqHTtqjvn66vbeuqS2NsGdISi8EXuE+4n/DJbSUgGl0c2dLCKNJLa3DpMaxLNkZmYSHR0NQGpqKpGRkRYrcoO8PIiK0r2ML7+Enl44BOKM9K4O3qumuKyMqG9/m8LSUk799a8M6NkTunWDKVNMehDDFdOaqUH+5NyeAT4FngP+5dz/25WINNiPyMhIbrjhBhwOBy+//LLVctwjPBxuukl/Ka9ZY7WaxlFKO4HqnoaztxEcGMit43VZ+9W7dunjxlkYLKClIakZIjIDXUZ1tIiMFZExwCjgzNUQaPAuEhIS6NatG1V2SLVRn9oZbL0VpWDYMLj5Zr0cuEcPiIwkYcECIsLD8R06VB83zsJgAS5lq1VKHRCRkS3ZGjnv3+hYjgwRabB4XymlgL8C84Bi4OvVw1xKqbuAnzubPioi/21JpxmS8jwVFRUopfCzw9h5fcrKIDpar5Q6fFhnfLUJDocDh8NBQMBl1C3LT4OLJ+DLT6DvDIiI0+nDm6IwAwouwMnN0GMUdB8OHaObbl9eDEUZcHwjhMfoAkWXk+pDRMefnH5fl1MdNF9fx9cZl5K4HYoyYfB8rd/dSnmGRnFnSMpVh7EGnWzwJUCAO4FQaaFut1JqKlAIvNiEw5gHPIB2GBOAv4rIBKVUZ2AvMNZ5v33AGBFpdk2kcRiGFrnnHnjuOXjoIXj8cavVeJ7Ci7Dtcdi7ssY28+cw/h69Wqk+FWVweB28+UCNbchNMO+PuvZDY1w4ACtnQZWzVke3IXrZrLtOoyANnptWU9s7IBTu26XrXPxnjo4IB/ANgHu26/sYrphWT28OLAeOAt8Dvg8cc9qaRUS2A9nNNFmAdiYiIp8AnZRS0cANwPsiku10Eu8DJvmhF5GTk2My2FpAfn4+L730EpWuFlKqLIb9/6lr2/EXnWqkMYozYetv69qOvwWVTaRVKc2DDx6ucRYAGcch6zJGrE+9W+MsAMoL4dAr2iFVOwsAR7l2guU2iwdqA7g0riAipcBfnFtrEgPUzrqW4rQ1ZW+AUupu4G6A3r17t7I8Q2OICCNGjCA5OZlBgwYxdqxLP068g2uv1bELX34JO3bA1KlWK3KLqVOncvDgQbp27cqcOS78hhKBKkddm6O88bbVVDTiHOpf45K9CiqKG7lGSUNbS5QXNrQ5yhq/fnlR05oMHqOlwL2Xna+HnUkH62ytcP/GZu6kGXtDo8hzzsn4sbZa5mljlFLceuutgA1jMnx8dAZb8N6YjGa4zZkLy+Xn7hcEA66vaxu+FPybSCgZ1AnGfauuLWZ00+2DI+DaH9S1hXaDqGsab98cQxfUvY/ygWtuhd4ToUO9tPrX/aDxITWDR2kpDiNaRFKVUrGNHXfmlGr+BkrFoWuANzaH8U9gm4iscb4/CUyv3kTknsbaNYWZw7h6fPbZZ0yYMIHu3buTkpKCb+2AM2/nyBG90igiAtLS6uZx8nLOnDnDgAEDCAkJIT09nZCQkJZPKkiDw6/oSe/+X4FBc5uej6huf3Y7HH8Tuo+AUXc2P+ldkgcZx+Czf0J4L5hwL3Ts4f5KLkeFTk6482+6VzHlu9ApTkeH51+AT/6uJ78nfge6DjQOo5VwZw4DEWlyQ89XjAP8mmvXwjXigCNNHJsPvIPuUUwEPnPaOwNngQjndhbo3NK9xowZI4arQ1VVlfTv318Aee+996yW4z7Dh4uAyOuvW63EbSZMmCCArF692vWTHA6Rknz3blSSL1JZ7nr7ilIRR4V792iMynKRirJG7BUi5aVXfn1DHYC94uL3eUuT3j3Ry14zlFLblFKPKaXmO1cxueK51gC7gUFKqRSl1DeVUvcqpe51NtkEJKJjOv4FfMfpxLKBR4A9zu1hp83gJSil6pRvtR12yGDbBJf13H18ICjMvRsFheklra7iFwg+rbDc2tcf/Brp9fn6gX/glV/fcNm4uqw2AL3EdTIwybnlishQz8pzDzMkdXU5ffo0AwcOJDQ0lPT0dHsVWkpOhthYPRyVnq4jwW1CRkYGPZxZam2XosXgdXhiWW0HoCMQ7twuoNODGNoxAwYMYOLEiYwZM4a0tLSWT/AmevWCadN0MN+rr1qtxi26devGDTfcwLhx4+z33A22pqVJ7+fQtTAK0A7iE+ATaSGAzipMD+PqU1ZWRmCgTYcJVq6Eb38bZs2CLVusVuMWtn7uBq+iNXsYvYFAIA04j46HyL0yeYa2hK2/tBYt0kNSH37ovbWxm8DWz91gW1pKPjgHvUrqj07TD4E9Sqn3lFK/8bQ4gz0QET777DN21K7XYAc6dYL583Vw29q1VqtxGxHhwIEDfPDBB1ZLMbQTWpzDcK68OoJe0fQOsBPoh04TYjCwYcMGJkyYwEMPPWS1FPexQwbbJti2bRujRo1ixYoV9kvRYrAlLUV6f1cptVYplQxsR2eePQncho6VMBiYM2cOwcHB7Ny5k3Pnzlktxz3mz9crpD7/HI4ft1qNW1x33XVERkZy4sQJPv/8c6vlGNoBLfUw4oD1wHgR6SsiXxWRv4vIQRGxX+Y2g0cIDQ1lwYIFAKxevdpiNW4SFKTnMsB2MRl+fn7ccccdgE1jYQy2oyWH8SjwIVCmlOpcf7sK+gw2obre90svvWS/4ZHaGWxtpr36ua9ZswaHwyTjM3iWlhzGPnRdin2NbGb9quESs2fPpmvXrhw/fpwDBw5YLcc9pk2DmBg4exZ277ZajVuMHz+efv36kZqaytatW62WY2jjtLRKqo9zKKpPI1vfqyXS4P34+/vbd3jExweWOmuB2Wzy2/YpWgy2wtVIb5RSEUqp8UqpqdWbJ4UZ7EdCQgJdu3YlLMzNnEXegHNoh5dfhooKa7W4SUJCAp06daJzZzNKbPAsruaS+hZ6GW1P4AA6s+xuEZnpWXnuYSK9rUVEqKysxN/fjYR13oKITnl+9Ci89RbceKPVityivLz88up9G9o9nsgl9T10AF+SiMwARgGZl6nP0EZRStnTWYCu3WDjDLbGWRiuBq46jFLRZVpRSgWKyAlgkOdkGexMXl4e//nPfygpuYwynVZSXYnvjTegoMBaLZdBYWEhq1atIjvbVAIweAZXHUaKUqoT8DrwvlLqDXTGWoOhAXPnzuUb3/gGb7/9ttVS3CM2Fq67DkpK4LXXrFbjNsuWLePOO+/klVdesVqKoY3iksMQkVtFJFdEfg38AngeWOBJYQb7ssgZCGfLVTs2Hpay9XM32AJXJ73/JyJfbclmNWbS2zu4cOECvXr1wtfXl7S0NHut3snOhu7dweGA8+f1vk0oKCggKiqKkpISzp07R2xsrNWSDDbAE5Pe19S7gS8wxl1hhvZBjx49mDlzJhUVFaxfv95qOe7RuTPMnQtVVbBundVq3CIsLMy+KVoMtqCl5IM/UUoVAMOVUvlKqQLn+wzgjZYurpSao5Q6qZQ6o5RqkMpUKfUXpdQB53ZKKZVb65ij1rE3L+OzGSzE1sFkNs5gW/u52y5Fi8HrcXVI6nER+YlbF9a9kFPAbHThpT3AUhE51kT7B4BRIvIN5/tCEQl1555mSMp7yM/PJyoqitLSUpKSkujdu7fVklynpASiovRKqZMnYeBAqxW5TEVFBdHR0WRlZXHgwAFGjBhhtSSDl+OJIamfKaXuVEr9wnmDXkqp8S2cMx44IyKJIlIOrKX5ifKlwBoX9Ri8nI4dO7JgwQKuvfZasrKyrJbjHh06wMKFet9mPaTqFC3jxo0jPz/fajmGNoarPYx/AFXATBEZopSKAN4TkXHNnLMImCMi33K+/yowQURWNNI2Fl0vvKeIOJy2SnRUeSXwOxF5vYn73A3cDdC7d+8xSUlJLX4ew9WhsrISPz8/q2VcHlu2wOzZ0K8fnD6tA/tsgq2fu+Gq44kexgQRuR8oBRCRHKCl0NLG/oc15Z2WAOurnYWT3s4PsQx4UinVr7ETReQ5ERkrImMjIyNbkGS4mtj6S2vGDIiOhi++gM8+s1qNW9j6uRu8GlcdRoVzTkIAlFKR6B5Hc6QAvWq970nTwX5LqDccJSIXnK+JwDZ0OhKDzRAR9u3bx8aNG62W4h6+vrBkid634eQ3wJEjR9iwYYPVMgxtCFcdxt+A14BuSqnfAjuAx1o4Zw8wQCnVRykVgHYKDVY7KaUGARHA7lq2CKVUoHO/KzAFaHSy3ODdfPbZZ4wdO5b77ruPqiqbFWmszmC7bp3tMtieOXOGYcOG8c1vfpPS0lKr5RjaCK5Geq8CfgQ8DqQCt4hIs/kHRKQSWAG8CxwHXhaRo0qph5VSN9dquhRYK3UnU4YAe5VSB4Gt6DkM4zBsyLhx44iNjSUlJYXt27dbLcc9Ro2CwYMhM1PPadiI/v37M3r0aPLy8uyXosXgtbQUhxGklPq+UuppYBrwTxF5WkSOu3JxEdkkIgNFpJ+I/NZp+6WIvFmrza9F5KF65+0SkWEiMsL5+rz7H83gDfj4+LDMmdTPdjEZNs9ga+tYGINX0uwqKaXUOqAC+BiYC5wTke9fJW1uY+IwvJOjR48SHx9Pp06dSEtLIzAw0GpJrpOYqFdKBQdDejqEuhUaZCkXLlygZ8+e+Pv7k5aWRkREhNWSDF5Ia66SGioid4rIP4FFgKmyZ3Cba665hhEjRpCbm8umTZusluMeffvC5MlQXKzTntuI6hQt5eXl9kvRYvBKWnIYl2b6nHMSBsNlcadzAtmWwyM2Hpay9XM3eB0tOYwRzhxS+Y3klDJhpAaXWbp0KZGRkfZKEVLN7beDnx+89x5kZFitxi1uu+02unfvzoABA3A4HC2fYDA0Q7MRPiLie7WEGNo2MTExpKam4utrwz+prl3hhhvg7bfh5ZdhRYNkBV5Lx44dSUlJsedzN3gdrsZhGAxXjK2/tGycwdbWz93gVRiHYbiq5Ofn88ILL3Dhgs0q/C5YoFdIffopnDljtRq3KS4uZs2aNZyxoXaD92AchqFVKCl3kJ5fSkZ+KaUVTY+V33333Sxfvtx+BX6Cg+HWW/W+3bQDP/rRj1i2bBkrV660WorBxhiHYbhisovK+dsHp5n6+61M/+M2/vVxIjlF5Y22veOOOwCbrtqpvVrKZsWJqp/76tWr7ZeixeA1GIdhuGL2J+Xwj4++oKyyiuJyB3967xSnMwoabTtv3jw6derEgQMHOHr06FVWeoXMmgXdusGpU7Bvn9Vq3GLKlCn07t2b5ORkduzYYbUcg00xDsNwRVRVCZuOpDawv38svdH2gYGBLF68GLBhL8PPz7YZbGunaHnJZtoN3oNxGIYrwsdHMblflwb2CX0b2qqpznFky+GR6gy2a9dCpb1iWauf+yuvvEJZWZnFagx2xDgMwxUzY1A3bhgaBeh8fbeOimF0r05Ntr/uuuvo1asXSUlJ7Nq162rJbB3GjoUBA3ReqQ8/tFqNW8THxzN8+HByc3N55513rJZjsCGmNJfhiukSGsgTi4bzq3K9OiokwJfw4KYLMlYPj3z88cdU2uxX+qUMtr/+tZ78vv56qxW5RUJCAv7+/qYqn+GycKmmt10w2WrtQ1VVFT4+Nu3gnjmjexmhobqnERxstSKXsfVzN3gET9T0NhhaFVt/afXvDxMmQGEhvNmgiKRXY+vnbrAc89djsAwR4fPPP+d///uf1VLcx8YZbAGOHTtmgvgMbmOGpAyWcf78eXr27ElQUBDp6el07NjRakmuk5EBPXroOY3UVJ2g0Cbk5+cTGRlJRUUFycnJxMTEWC3JYCFeMySllJqjlDqplDqjlHqokeNfV0plKqUOOLdv1Tp2l1LqtHO7y5M6DZ4jv6SC1NwSzueUkFNcN/o7JiaGqVOnUlpayquvvmqRwsukWzeYPVsvrX2l2fL2XkfHjh2ZP38+IsLatWutlmOwER5zGEopX+AZdGnXocBSpdTQRpquE5GRzm2l89zOwK+ACcB44FdKKVNf0mZkF5Xx2KbjTH7iQ6Y88SEPvnyQrMK66/9tXeDHxsNStn7uBsvwZA9jPHBGRBJFpBxYCyxw8dwbgPdFJFtEcoD3gTke0mnwEMcuFLB2T/KltEsfnMjg3aNp1B4GXbRoEQEBAXz44YekpjaMGPdqbrlFr5DauRPOnrVajVvMmzeP8PBwPv/8c44fP261HINN8KTDiAGSa71Pcdrqs1ApdUgptV4p1cvNc1FK3a2U2quU2puZmdkaug2txGfnshrYdp7JosJR4zAiIiKYN28eVVVV9hseCQ3VTgNsl8E2KCiIRYsWAaaXYXAdTzoM1Yit/gz7W0CciAwHtgD/deNcbRR5TkTGisjYyMjIyxZraH2mD+zWwDYnvjsBfnX/7KpTVtjyi8vGGWxrP/e2tPjF4Dk8Ge6ZAvSq9b4nUKdqjojU/gn6L+CJWudOr3futlZXaPAofSNDeGjOYJ768DSVVcKyCb2Z0r/haqIbb7yRuLg4Ro8eTXl5OQEBTUeJex2zZ+sVUsePw4EDMGqU1YpcZtq0aQwZMoRx48ZRUFDQaqvUKioqSElJobS0tFWuZ2gdgoKC6NmzJ/7+/pd9DY8tq1VK+QGngFnAeWAPsExEjtZqEy0iqc79W4Efi8hE56T3PmC0s+l+YIyIZDd3T7Os1vsorXCQV1IBQFigH8GBjf9GsXUE8gMPwNNPww9+AH/6k9Vq3MITz/3s2bOEhYXRpUsXlGpssMBwtRERsrKyKCgooE+fPnWOecWyWhGpBFYA7wLHgZdF5KhS6mGl1M3OZt9VSh1VSh0Evgt83XluNvAI2snsAR5uyVkYvJMgf1+iOgYR1TGoSWcBzgjkyko9ebxzJ2zdWjOZ7O35pqqHpdasAUfT1Qa9EU846dLSUuMsvAylFF26dLniXp8J3DNYjwgcOULBoUO8/umnjIqNJb53b33M11e/DhgA8fE6UM7bENH6vvgCtmzRhZZsRElJCW+99RZxcXGMHz/+iq93/PhxhgwZ0grKDK1NY/82XtHDMBhcQkT3JE6f5tGXX+ZrTz3Fs++/X3Pc4dDb6dO6nTf+wFEKnMWJ7BiT8dRTT3HHHXfwl7/8xWopBi/HOAyDtRw5otNsOBwsvfZaANbt2kVFfcfgcOh2R45YINIFqoelNmyAkhJrtbhJdb3vN954g4KCxkvr2pHf/va3XHPNNQwfPpyRI0fy6aefttq1582bR25ubqtdzy4Yh9GOcTiqyMgv5eiFPFJyisl3Tk43x4XcEo5eyOOLjEJS82q+GLMKyziTUcAXmYVkF9VEc2cVlZGYWcjp9AIuFtSr8lZZqXsOznH/EX36MLhffy4WFLCyoIKMydOQiM61Bev23jinMWiQLq6Unw8bN1qtxi1iY2O57rrrKCkp4bXXXrNaTquwe/duNm7cyP79+zl06BBbtmyhV69eLZ/oIps2baJTp6aLhLVVjMNox5zNKuL6J7cz/287uPaJrTz70ReXVjQ1xoXcEpb96xPm/20Hs/78ET999TCpuSVcLCjja//+jK/8eTuz/vQR335xHxcLy7hYWMb9q/Yz808fMfsv20lY+SmZBbUm3ZKT61w/d9gouo/XAf0P/ulfzP/PIb4cMhI6dKgrpN55XoONU4XYOhamEVJTU+natSuBgYEAdO3alR49ehAXF8ePf/xjxo8fz/jx4zlz5gwAmZmZLFy4kHHjxjFu3Dh27twJQGFhIcuXL2fYsGEMHz6cDRs2ABAXF8fFixcBXSN9/PjxjBw5knvuuQeHw4HD4eDrX/868fHxDBs2rM0M9xmH0U7JLS7n568fIbe4xkH8fdsXTfYyisoqWPlxIueyii/Ztp7M5ExmIR+dyuDohfxL9n1JOew8fZEz6YV8klizuO1kegEb9p+nqso53HThQs2qIj8/sjp05HS4jmMoOf0J6Vk5PP5BIoW94mqEOBz6PG9kyRLw8YFNmyDbXov6Fi9ejL+/P1u2bCEtLc1qOVfM9ddfT3JyMgMHDuQ73/kOH3300aVjHTt25LPPPmPFihV8//vfB+B73/se//d//8eePXvYsGED3/qWzoP6yCOPEB4ezuHDhzl06BAzZ86sc5/jx4+zbt06du7cyYEDB/D19WXVqlUcOHCA8+fPc+TIEQ4fPszy5cuv3of3IMZhtFPKHVWcu1jcwJ5VVN5Iaygpd5CYWdTAfiajkPT8sgb2Y6n5ZBU1tB89n4ejen6ivNa9AgJIzSvFLzyKwJihSGUZxac/ITGrmNLAehXtKloeOrOE7t31CqmKCli/3mo1btG5c2f7pmhphNDQUPbt28dzzz1HZGQkd9xxBy+88AIAS5cuvfS6e/duALZs2cKKFSsYOXIkN998M/n5+RQUFLBlyxbuv//+S9eNiKibA/WDDz5g3759jBs3jpEjR/LBBx+QmJhI3759SUxM5IEHHmDz5s32St3fDKawbzulY5A/84d15/md5y7ZQgP96BEe1Gj7rmFB3DyyB9tO1eTrUgqmDogkpxEnc9OIHnTw921gXzy2F/6+zt8ptSO6i4sZEBlCoJ8PIddMR6oq8QkM4aZruhGek1H3IlcQqepxEhLg/ff1sNTdd1utxi0SEhI4d+4c3bo1TOliR3x9fZk+fTrTp09n2LBh/Pe/OvNQ7fiQ6v2qqip2795Nh3rDnyLSbDyJiHDXXXfx+OOPNzh28OBB3n33XZ555hlefvll/v3vf7fGx7IU08NopwT5+/KdGf1ZPjmOyNBARveO4JV7JxER0nRajin9u/KjGwbRIzyIgVGhrPzaWMI7+NM/KpQnFg6jd+dg+nQN4amlo+jVOZhuHQN59s7R9IsMoWdEBx69JZ7hPcNrLtijR02cBRDxxQleXj6ayTcuYfj9z/DD5XeQMLQz/udTas7x9dXneSu33qrnXLZvh6Qkq9W4xaJFizhw4ADLqpcI25iTJ09y+vTpS+8PHDhAbGwsAOvWrbv0OmnSJEAPYT399NN12jdmz8nJqXOfWbNmsX79ejIy9I+a7OxskpKSuHjxIlVVVSxcuJBHHnmE/fv3e+BTXn1M4F47p6TCQUFJBf6+Ps06i0vtyyvJKiwHBT0jaoaKHI4qsovLAUWXkAB8fPSvMhEhq6gcEaFzcAC+vrV+o1RW6prYtaOjO3Uiq1dfHAGBhGelEfhlElRV1Rz39YWbbwY/L+4cL1kC69bB44/DQw3qhrV5vCFwb9++fTzwwAPk5ubi5+dH//79ee655xg7dizLly9n06ZNVFVVsWbNGvr378/Fixe5//77OX78OJWVlUydOpVnn32WwsJC7r//fvbt24evry+/+tWvuO2224iLi2Pv3r107dqVdevW8fjjj1NVVYW/vz/PPPMMHTp0YPny5VQ5/3Yff/xx5s6da+kzgSsP3DMOw2Athw/XWVpb59CXX/LhkSN8b948bfD11RHVw4ZdZZFu8tZb2qnFx+vPZzNOnjzJm2++yYMPPnhZ6T28wWE0Re0v+vbIlToML/6ZZmgXxMdDXt6l4L1qSsrLmfzzn1NYWsq8UaMY0LOnLosaH2+hWBe54Qbo3FkHGR46BMOHW/hj2SUAAB09SURBVK3IZaqqqpg5cyYXLlzguuuuY+LEiVZLMngRZg7DYC1KwZQpuufg63tpTqNDQAC3OfMardq5Ux+fMsU7c0nVJyAAnNHTdovJ8PHxYcmSJUDbicmozblz59pt76I1MA7DYD1K6WGmm2/W9SR69IDISBKc1exW7d+PeGviwaaoDuJbvbruHIwNqA7iW7duHRXeuoTZYAnGYbRjCkorSM4u5rXPz/P5lzmk5+so7KKyCs7nlvDmwfN8mph1KQWIo0rIyC9ly/F0Pk3MapjqoxEyC8rYdeYiW09kkJFf2nxlNz8/6NNH9ySmT2fmAw/QvXt3zpw5w549e1rlM181Jk+GuDhISdErpmzEqFGjGDJkCJmZmbxfOxGkod1j5jDaMSfSClj2r08u1dieG9+dhxfEk1VYxm3/2EVxuZ5TmNCnM08uGYmjSrjxqR2XosOHRnfkxW+Mp2tYYKPXzywo5Y5/fkLiRR3wFxkWyFsrrqV7E7Ee9fHz82PJkiU8+eSTrFq1qlVSb181qjPYPvaYHpaaPt1qRS6jlCIhIYGf//znrFq1innViw4M7R7Tw2inpOWV8ujGY5ecBcA7R9IorajkD++dvOQsAD49m01qbin/251UJ5XIsdR8DqU0nbFz++mLl5wF6N7G/z45V5MaxAWqh0fWrl1LpTcmHWyO6mGpV14Bm5UrrY7FeP311yksLLRYjcFbMA6jneKoqmo0DUhZpeg4i3pkFZVRUNZwPDu9mWGptLyGX5IXcktrUoO4wJgxY5gwYQI33XST/VJvDx2q52Ty8nR+KRvRp08frr/+em677Tby8/NbPsHLCA0NbfLY5MmTPXbfxx57zGPX9gaMw2indAkNYPGYnnVs3cICiejgx5JxddNAhwX6cU2PcObFR9exB/r5MHVAZJP3mD8sGj+fuhPVX58cV5MaxAWUUuzevZuVK1c2yONjC2ycwXbz5s3873//o4eHI+tf//w8U373IX0eepspv/uQ1z8/75H7OJzLtnft2uWR64NxGFeEUmqOUuqkUuqMUqpByKtS6gdKqWNKqUNKqQ+UUrG1jjmUUgec25ue1NkeCfL3Y+mE3vzyxqGM7t2JW0f1uJQaZMbgbvx+0XDGxEYwN747r90/hc7B/gzrGc7Ku8YyoU9nvjKkG2+umELX0Kajw6PCA3ntO5OZPjCSSf26sOpbE+gbGeK2VlvXhl6yRM9nbNwINiu4czWe++ufn+cnrx7mfG4JApzPLeEnrx5uNaexbds2ZsyYwbJlyxjmDPis7n2kpqYydepURo4cSXx8PB9//HGD848ePXopdfnw4cMvpRtpLKX5Qw89RElJCSNHjrw0lPrnP/+Z+Ph44uPjefLJJwEoKipi/vz5jBgxgvj4+EupSh5++GHGjRtHfHw8d999d/MLRKxCRDyyAb7AF0BfIAA4CAyt12YGEOzcvw9YV+tYobv3HDNmjBjco7LSIam5xZJXXFbPXinnc4rlYkFpg3NyisqkoKTc5Xvkl5RLbpHr7RujsLBQVq1aJdu2bbui61jCzJkiILJypdVK3KakpETWr18vmzZtcvmcY8eOudx28uMfSOyPNzbYJj/+weXIvURISIiIiGzdulWCg4MlMTGxwbE//vGP8uijj4qI/nvPz89vcJ0VK1bISy+9JCIiZWVlUlxcLMeOHZMbb7xRysv13/R9990n//3vf+tcW0Rk7969Eh8fL4WFhVJQUCD/v70zj66qyvL/ZycE8kIgzJFJgRKwkMREw9RMNhTEVlCjRNAAuph+LMsf+rO0qxWtpmypVnGVhVbXwK9VoJgFFdBiEJktBAKExCDYgEyCDIGEkDlh9x/35pnhhbyQvLwh57PWW++98865Z9+blbvvOWef7+7Vq5fu379fV65cqVOmTHHWy8zMVFXVjIwMZ9n48eN1zZo1tboGrnD1twGS1c17rCdHGH2Bo6p6XFULgWXAQxWc1RZVLdXY/hrohKFeCQ4O4pYIB80djSuUB9OhhYPW4ZUjoFqENSY81H3F2GahIUSE1U5hdv78+SQlJTFnzpxaHccr+PG01OrVqxkzZgy//e1vPXL8s5mu09lWVX4z9O3bl65du1Yq79OnDx9++CGzZs0iLS2NZs2aVaozYMAAfve73/Hmm29y8uRJHA5HlZLmFdm5cycJCQk0bdqU8PBwHnnkEXbs2EFUVBSbNm3i17/+NTt27CAiwhLk3LJlC/369SMqKorNmzeTnp5eZ9egrvCkw+gIlE2NdsYuq4rJwLoy30NFJFlEvhaRhz1hoMF/SExMJDg4mPXr13Px4sXqG/gSjz4KTZrA1q3Wvgw/YvTo0YSHh7N79+5y6q91RYcWjhqV3wxNm7qeBh0yZAjbt2+nY8eOTJgwgYULF/LJJ58QExNDTEwMycnJPPHEE6xZswaHw0F8fDybN292SpqnpKSQkpLCkSNHmDVrVqXjaxVTSj169GDfvn1ERUXx0ksv8dprr5Gfn8/TTz/NypUrSUtLY+rUqeT7YGSdJx2GqwlQl1dQRMYDcUDZx8db1RLEegL4g4j8rIq202zHkux3NxKD27Rr1474+HhKSkpYsWKFt82pGRERMHo0qMLSpd62pkaEhYWRkJAAwJIlS+r8+C/G96yUN8UREsyL8T3rvK+KnDx5knbt2jF16lQmT57M/v37SUhIcDqCuLg4ZzKkGTNm8OCDD5KamlqlpDlASEiIc3f8kCFD+PTTT8nNzSUnJ4dPPvmEwYMHc/bsWcLCwhg/fjwvvPAC+/fvdzqHNm3acO3aNVb6aAIuTzqMM0DZcJtOQKXcmiLyC2Am8KCqOmM0VfWs/X4c2ArEuupEVeepapyqxrVtW3XEjsH/8eu80348LVX2ulf11HyzPBzbkf98JIqOLRwI0LGFg/98JIqHY280GVE3bN26lZiYGGJjY1m1ahXPPvtspTrLly+nd+/exMTEcPjwYSZOnEivXr14/fXXGTlyJNHR0YwYMYJz584BMG3aNKKjo0lKSuLuu+/mqaeeom/fvvTr148pU6YQGxtLWlqac8F89uzZvPLKK7Ro0YKpU6cSFRXFww8/TJ8+fTx+/jeDx+TNRaQR8B0wHPgB2As8oarpZerEAiuB+1T1f8qUtwRyVbVARNoAu4CHVPXQjfpsKPLml3MKOHQ2mz0nMhjaoy3d2obTMqzqaKWL2fmcuZLHF+nnie4cQeytLYlsHsr5rHwycgr5PO0s3ds1o3+31twSEcqFq/lczS9mdcoPdGjh4J97tuWWCAeXcwrItssjHI0ZeWck7SMcXMsvJDOvmLUHzxIcFMSo6Pa0dITQJCSYi9cK2JD+I/lFJYyK7kDbZo0JCa6cia+US9kFfHX0Eicu5zIquj23NA+laRNLkCAnJ4fIyEhycnI4duwY3bp1q/Nr6zEKCqwUrpmZlortnXd62yK3KS4uplOnTpw/f549e/ZUezPzZXnzho7PypurarGIPANswIqY+kBV00XkNaxV+TVYU1DhwEd2CN8pVX0Q+DnwVxG5jjUKeqM6Z9FQuJpXxJwN37F0zykA3v3yKC/G92TyoK6EukiJWlBUwrpvfuQ3q39aQBvZK5LfJ0Zz4HQm0xftc5bffWtL/nviPZzMyGXc//+aEntH9u3twlk0uS9ZeUU8+MevKCi2xPT+uu0Yq57+J4pKrnP/3J1cK7B2Yv9p61E+nzGYRgXFPPDuDi7ZGwH/sOl/WP/cEG5tVSFHt82lawVM+GA3356zNujN3fQdy6YNoG/XVoA1F52QkMCiRYtYvHgxr776aq2uZb3SpAk89hjMm2eNMvwoXr9UomXu3LksWrTIZ59+DZ7Ho/swVPXvqtpDVX+mqrPtst/YzgJV/YWqRqpqjP160C7/h6pGqepd9vv7nrTTn8gpLGb53lPlyv5ry1Gy8lyrimbkFPLul+UXKzceOs+VvGLe+eK7cuX7T10ht7CEdzZ953QWAEcvXOP4pRyW7D7ldBYAZ7Py2X38Ml+kX3A6C4DM3CI+PfAD169fdzoLgNzCEj7Y+T3FVai3nrmS53QWANcV3lp/mCu5Px0jKSmJuLg4/xpdlFJ2WsoPFWyjoqLo1auXt00xeBEjPuhnqFo30rIUl9x4WrGw2NXNSSksqVx+HaXIRXlh8XWXkh4FxSWUaOX6+UUlLuXIC4pLqgh9wHW/JdfLzZvHx8dz3333uT6ArzNoEHTuDKdOwVdfweDB3rbIbeLi4khNTfW2GQYvY6RB/IywxsGM7BVZriyp362EN3Ht+yMcjXhqYJdyZffc1pIIR2OmDCofm/6ztuE0b9KI/zOkfEBaZPMm9LylGY/e3amcD4hwhDC4e1uG3RFJSPBPP4SGBJF4TyeC1bK3lEZBwuRBXWlUhTRIl9ZN6VghnPKZf76dVk1/2gvi17u+g4IsBVvwu8Vvv77uhjrD5PT2QzKuFbDx0Hm+OnqJ+DtvYeDtbWjVtOpF7wvZ+SSfuMK6tHP07hjBw7EdiWweyo9Z+Rz+8Sof7/+Bn7Vryti4ztwS4eD81XxOZuSyZPcp2keEMmHAbXRo4eDC1TwuZBcy/x8niHA04sl/6kqbpo3JLyomI6eI93d+T6OgICYP7kKrsBDCmoTwY1Y+H3z1PflFJUwe1JWOLRw4Glc9sD1/NZ9le07xfUYO4/vdRo/IZjR3VN70l56ezqpVq5g5cybBN1hE9znS0qyUra1awblzVnY+P+Lo0aMsXbqU559/vsr9DWbR23ep7aK3x6RBvPFqaNIghcUlNaqfV1isJSWV2+TkF2phYXGl8tyCYi0qclW/SAtclOcVFml+YVGl8uKSEi2qga0lJddveG7Xr1/X22+/XQHduHGj28f1GaKjLamQ1au9bUmN6devnwK6ZMmSKuvURBrEUL/4sjSIwcPURPUVIDQkmKCgym3CmoQQ4iLCytE4mEaNXNVvRGMX5aEhjWgSUnn0EBwUVOU0lCuCguSG51aa4Af8fE/GokXeteMm8Jfr7i15c3e5//77ybwJMcpZs2bx9ttve8Ai9zAOw+CXlN64Pv74Y/Ly6k53qF54/HErIGDtWvCzXBNjx44lODiYDRs2cOnSpbo5aOoKeKc3zGphvad6Zid/fcibl+VGCb/+/ve/06JFC6/acDMYh2HwS7p3706fPn3Izs5m7dq13janZnTuDEOGWFn4Pv7Y29bUiHbt2jFixAiKi4vrRqIldQWsnQFZpwG13tfOqDOnUVt58379+pUTAbz33nvZt28fOTk5TJo0iT59+hAbG8vq1asBSyQzMTGR0aNHM3LkyCr76NKli9PhLly4kOjoaO666y4mTJgAWLIlw4cPJzo6muHDh3Pq1CkqkpKSQv/+/YmOjiYhIYErV644bXz55ZcZOnQoc+fOrZPrWIpxGAFIQXFJnUg4FBaXUOJiv8C1vCJyC7yfLnX8+PGAlZvA7/BjqZA6ve5fvgZFFUaIRXlWeR2xZ88eZs+ezaFD5ff+LlmyhPj4eFJSUjh48CAxMTGV2o4bN87pGM+dO8fZs2e55557mD17NsOGDWPv3r1s2bKFF198kZwcKx3xrl27WLBgAZs3b662j/T0dGbPns3mzZs5ePCg8wb/zDPPMHHiRFJTU0lKSmLGjBmVbJs4cSJvvvkmqampREVFlVMUzszMZNu2bfzqV7+q3cWrgHEYAcTlnAJW7jvNjKUpLN59koxrVadPvRFX84rYe+Iyz684yJwNR/gxKw9V5cLVfFJOX2Hm6m94Y/1hTmXkkOcibWt9UTo9sm7dOjIyMrxmx00xZowVIfXll3C2ksSaT/PQQw8RFhbGrl27XMp614isKtR7qyq/CWojb/7YY4/x0UcfAbBixQoSExMB2LhxI2+88QYxMTHce++95OfnO0cBI0aMoFWrVm71sXnzZsaMGUObNm0AnO127drlzKs+YcIEdu7cWa5dVlYWmZmZDB06FIAnn3yS7du3O38fO3ZsDa+SexiHESBcyy/irfVHeOGjVDak/8grn6Yz85M0MnMr5+eujuSTl0n8yy4+Sz3HX7YdZ/Qfv+JqXhGnr+SS8Kd/sDrlLAt3nWTUezu5nOe9kUZkZCSPPvooSUlJ5ObmVt/Al2jZEh54wNqJuWyZt62pEeHh4SQlJfH44487lVlvmogqUuBUVX4T1EbevGPHjrRu3ZrU1FSWL1/OuHHjACu6dNWqVU5l21OnTjnDVcv256qPsqiqW3tcaroPpqpzri3GYQQIOYUlrNxX/qlsffp58gpLanSczNxC/rTlWLmyi9kF5BWWMG/795Sd6bqaX8y2Ixdu2ua6YPny5cyfP5/OnTtXX9nX8ONpqXnz5rFkyRJ69qylDPnw30BIhdwXIQ6r3MO4I28O1rTUW2+9RVZWlnMdJD4+nvfee8859XvgwAG3+yjL8OHDWbFihXOEfPnyZcCK5FpmP0gsXryYQYMGlWsXERFBy5YtnWsif/vb35yjDU9ipEECiEbBQnEZ3ZDgIHGlznFDgkRoElL5OSJIBIeLckdjP9o052s88ICVK2P/fjh8GO64w9sW1T/Rj1nvX75mTUNFdLKcRWm5B9m6dStz5swhJCSE8PDwSk//pYwZM4Znn322nNjlq6++ynPPPUd0dDSqSpcuXfjss89q3Medd97JzJkzGTp0KMHBwcTGxjJ//nzeffddJk2axJw5c2jbti0ffvhhpWMvWLCA6dOnk5ubS7du3VzWqWvMTu8AIa+ohPd3HOftjT8JCk4a2IXnR/SoUTpVgIOnM3nkz/9wChD2iAxnxfT+XLhayOj3djoFCDu1dPDR9AG0j6i77Gg3Q25uLmvXriU4OJgxY8Z41ZYaM2UKvP8+vPIK/Md/eNuaGlFQUMC6devIzs52RveA2enty9R2p7dxGAHEldxCTlzKYefRS/Tt0orukc1uKBlSFbmFxVzMLmD9Nz/SoYWD/t1a07ZZE7JyC8jKK+aztHNEOEIYdkc7rzsLgM8//5xRo0bRq1cvvvnmG//SPdqyBYYNg65d4dgxl4KNvsrXX3/NgAEDaN++PadPn3ZKtBiH4bsYh1GGhu4wGipFRUV06NCBS5cuceDAAZfhkT7L9etw663www+Wgq0P7EJ2F1Wle/fuHDt2jE2bNjF8+HDAOAxfprYOwyx6G/yekJAQHnvMmvP2dcmKSgQFWTu/we8Wv0XEGfpZ8boH0oNooFAXfxPjMAwBQelmsiVLljglIPyG0mipFSugtmGq9UypRMvKlSudEi2hoaFkZGQYp+FDqCoZGRmEhobW6jgmSsoQEPTv359u3bpx/Phxtm3bxrBhw7xtkvvcdZeV4zs9HTZutKKn/ISePXsSFxdHcnIyn332GYmJiXTq1IkzZ85w8eJFb5tnKENoaCidOtVuf4txGIaAoHR65PXXX2fx4sX+5TBErFHGyy9bCrZ+5DDAGmUkJyezePFiEhMTCQkJcbmz2uD/eHRKSkTuE5EjInJURP7Nxe9NRGS5/ftuEelS5reX7PIjIhLvSTsNgUFSUhIxMTH06dPH26bUnNJMfKtXQ3b2jev6GOPGjaN3794MHDjQ26YYPIzHoqREJBj4DhgBnAH2Ao+r6qEydZ4GolV1uoiMAxJUdayI9AKWAn2BDsAmoIeq3nBy2kRJGfyawYNh505YuBDK7GswGDyJr0RJ9QWOqupxVS0ElgEPVajzELDA/rwSGC5WEP1DwDJVLVDV74Gj9vEMhsDFXrj3t2gpQ8PBk2sYHYHTZb6fAfpVVUdVi0UkC2htl39doW1HV52IyDRgmv21QES+qb3pfkMboI6y2PgNgX/OGzZU3MAX+OdcGXPO9cdt7lb0pMNwtWW14vxXVXXcaWsVqs4D5gGISLK7Q6tAoKGdL5hzbiiYc/ZNPDkldQYoKyHaCago/O+sIyKNgAjgspttDQaDwVCPeNJh7AW6i0hXEWkMjAPWVKizBnjS/jwG2KzWKvwaYJwdRdUV6A7s8aCtBoPBYKgGj01J2WsSzwAbgGDgA1VNF5HXgGRVXQO8D/xNRI5ijSzG2W3TRWQFcAgoBn5ZXYSUzTxPnIsP09DOF8w5NxTMOfsgASU+aDAYDAbPYbSkDAaDweAWxmEYDAaDwS0CwmFUJ0ESaIjIByJyoSHtORGRziKyRUS+FZF0EXnW2zZ5GhEJFZE9InLQPuffetum+kBEgkXkgIhUznkaoIjICRFJE5EUEfFZuQq/X8NwR4Ik0BCRIcA1YKGq9va2PfWBiLQH2qvqfhFpBuwDHg7wv7MATVX1moiEADuBZ1X162qa+jUi8jwQBzRX1VHetqc+EJETQJyq+vRmxUAYYbgjQRJQqOp2rKiyBoOqnlPV/fbnbOBbqtj9HyioxTX7a4j98u8nvGoQkU7AA8B/e9sWQ2UCwWG4kiAJ6BtJQ8dWNY4FdnvXEs9jT8+kABeAL1Q10M/5D8C/Ate9bUg9o8BGEdlnyx35JIHgMNyWETH4PyISDqwCnlPVq962x9OoaomqxmCpHfQVkYCdghSRUcAFVd3nbVu8wEBVvRv4F+CX9rSzzxEIDsPIiDQQ7Hn8VcBiVf3Y2/bUJ6qaCWwF7vOyKZ5kIPCgPZ+/DBgmIou8a1L9oKpn7fcLwCf4qDp3IDgMdyRIDH6OvQD8PvCtqv7e2/bUByLSVkRa2J8dwC+Aw961ynOo6kuq2klVu2D9H29W1fFeNsvjiEhTO5ADEWkKjAR8MgLS7x2GqhYDpRIk3wIrVDXdu1Z5FhFZCuwCeorIGRGZ7G2b6oGBwASsp84U+3W/t43yMO2BLSKSivVg9IWqNphQ0wZEJLBTRA5iaeZ9rqrrvWyTS/w+rNZgMBgM9YPfjzAMBoPBUD8Yh2EwGAwGtzAOw2AwGAxuYRyGwWAwGNzCOAyDwWAwuIVxGIaAQ0RK7LDbb0TkIxEJq6b+y24e94SItLE/X6uufm0QkadEpIOrvl3U/RcRSbaVfA+LyNuetM3QcDEOwxCI5KlqjK3kWwhMr6a+Ww6jnnkK6FBdJVsq5I/AeFX9OdAbOO5Z0wwNFeMwDIHODuB2ABEZb+eXSBGRv9rCfm8ADrtssV3vU1sELr0mQnD2zuxVIrLXfg20y2fZOUy2ishxEZlRps2r9qjgCxFZKiIviMgYLHnvxbZdDrv6/xWR/XbehDvssn8FZqvqYbA2sqrqn+xjzxeRP9t5RI6LyFDbjm9FZH5tLqqhYWIchiFgEZFGWGJuaSLyc2AslshbDFACJKnqv/HTiCTJbjpJVe/BumnPEJHWbnY5F3hHVfsAj1JeovsOIB5LI+jfRSREROLserHAI3Z/qOpKINm2L0ZV8+xjXLIF6v4MvGCX9cbKDVIVLYFhwP8D1gLvAHcCUSIS4+Z5GQwANPK2AQaDB3DYkuBgjTDeB6YB9wB7LVkqHFiS4a6YISIJ9ufOQHcgw41+fwH0so8P0LxUIwhL7qEAKBCRC1hyEIOA1aUOQUTWVnP8UsHFfVgOxh3WqqqKSBpwXlXT7L7SgS5Ayo0aGwxlMQ7DEIjk2aMIJ7Z44QJVfelGDUXkXqwb/wBVzRWRrUCom/0G2e3yyhbaDqSgTFEJ1v+eK2n+G1F6jNL2AOlYjvBgNW2uV7DhOub/31BDzJSUoaHwJTBGRNoBiEgrEbnN/q3Ilk4HiACu2M7iDqB/DfrYiCWEid1HdVM+O4HRYuXuDsfKNFdKNtDMdbNyzAFeFpEedp9BdopTg6HOMU8YhgaBqh4SkVewspoFAUXAL4GTwDwgVUT2A5OA6bZC7BGgqvzZYSJypsz33wMzgP+y2zYCtnODCC1V3Ssia7BGByex1i2y7J/nA38RkTxgwA2OkSoizwFL7fBhBT6v+koYDDePUas1GLyIiISr6jX7Zr8dmFaau9xg8DXMCMNg8C7zRKQX1jrJAuMsDL6MGWEYDAaDwS3MorfBYDAY3MI4DIPBYDC4hXEYBoPBYHAL4zAMBoPB4BbGYRgMBoPBLf4X0PODjBSfEGIAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_svc_decision_boundary(svm_clf,0, 5.5)\n", "sns.scatterplot('PetalLengthCm', 'PetalWidthCm', hue='Species', data=setosa_versicolor)\n", "plt.axis([0,5.5,0,2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sensibilidad a las escalas" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "SVC(C=100, cache_size=200, class_weight=None, coef0=0.0,\n", " decision_function_shape='ovr', degree=3, gamma='auto_deprecated',\n", " kernel='linear', max_iter=-1, probability=False, random_state=None,\n", " shrinking=True, tol=0.001, verbose=False)" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Xs=np.array([[1,50],[5,20],[3,80],[5,60]]).astype(np.float64)\n", "ys=np.array([0,0, 1,1])\n", "svm_clf = SVC(kernel='linear',C=100)\n", "svm_clf.fit(Xs,ys)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "SVC(C=100, cache_size=200, class_weight=None, coef0=0.0,\n", " decision_function_shape='ovr', degree=3, gamma='auto_deprecated',\n", " kernel='linear', max_iter=-1, probability=False, random_state=None,\n", " shrinking=True, tol=0.001, verbose=False)" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.preprocessing import StandardScaler\n", "scaler = StandardScaler()\n", "X_scaled=scaler.fit_transform(Xs)\n", "svm_clf_scaled = SVC(kernel='linear',C=100)\n", "svm_clf_scaled.fit(X_scaled,ys)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[-2, 2, -2, 2]" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12,3.2))\n", "plt.subplot(121)\n", "plot_svc_decision_boundary(svm_clf, 0, 6)\n", "sns.scatterplot(Xs[:,0],Xs[:,1], hue=ys)\n", "plt.title(\"Unscaled\", fontsize=16)\n", "plt.axis([0, 6, 0, 90])\n", "\n", "plt.subplot(122)\n", "plot_svc_decision_boundary(svm_clf_scaled, -2, 2)\n", "sns.scatterplot(X_scaled[:,0],X_scaled[:,1], hue=ys)\n", "plt.title(\"Scaled\", fontsize=16)\n", "plt.axis([-2, 2, -2, 2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Soft margin" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vamos a separar ahora virginica y versicolor" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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IdSepalLengthCmSepalWidthCmPetalLengthCmPetalWidthCmSpecies
50517.03.24.71.4Iris-versicolor
51526.43.24.51.5Iris-versicolor
52536.93.14.91.5Iris-versicolor
53545.52.34.01.3Iris-versicolor
54556.52.84.61.5Iris-versicolor
55565.72.84.51.3Iris-versicolor
56576.33.34.71.6Iris-versicolor
57584.92.43.31.0Iris-versicolor
58596.62.94.61.3Iris-versicolor
59605.22.73.91.4Iris-versicolor
60615.02.03.51.0Iris-versicolor
61625.93.04.21.5Iris-versicolor
62636.02.24.01.0Iris-versicolor
63646.12.94.71.4Iris-versicolor
64655.62.93.61.3Iris-versicolor
65666.73.14.41.4Iris-versicolor
66675.63.04.51.5Iris-versicolor
67685.82.74.11.0Iris-versicolor
68696.22.24.51.5Iris-versicolor
69705.62.53.91.1Iris-versicolor
70715.93.24.81.8Iris-versicolor
71726.12.84.01.3Iris-versicolor
72736.32.54.91.5Iris-versicolor
73746.12.84.71.2Iris-versicolor
74756.42.94.31.3Iris-versicolor
75766.63.04.41.4Iris-versicolor
76776.82.84.81.4Iris-versicolor
77786.73.05.01.7Iris-versicolor
78796.02.94.51.5Iris-versicolor
79805.72.63.51.0Iris-versicolor
.....................
1201216.93.25.72.3Iris-virginica
1211225.62.84.92.0Iris-virginica
1221237.72.86.72.0Iris-virginica
1231246.32.74.91.8Iris-virginica
1241256.73.35.72.1Iris-virginica
1251267.23.26.01.8Iris-virginica
1261276.22.84.81.8Iris-virginica
1271286.13.04.91.8Iris-virginica
1281296.42.85.62.1Iris-virginica
1291307.23.05.81.6Iris-virginica
1301317.42.86.11.9Iris-virginica
1311327.93.86.42.0Iris-virginica
1321336.42.85.62.2Iris-virginica
1331346.32.85.11.5Iris-virginica
1341356.12.65.61.4Iris-virginica
1351367.73.06.12.3Iris-virginica
1361376.33.45.62.4Iris-virginica
1371386.43.15.51.8Iris-virginica
1381396.03.04.81.8Iris-virginica
1391406.93.15.42.1Iris-virginica
1401416.73.15.62.4Iris-virginica
1411426.93.15.12.3Iris-virginica
1421435.82.75.11.9Iris-virginica
1431446.83.25.92.3Iris-virginica
1441456.73.35.72.5Iris-virginica
1451466.73.05.22.3Iris-virginica
1461476.32.55.01.9Iris-virginica
1471486.53.05.22.0Iris-virginica
1481496.23.45.42.3Iris-virginica
1491505.93.05.11.8Iris-virginica
\n", "

100 rows × 6 columns

\n", "
" ], "text/plain": [ " Id SepalLengthCm SepalWidthCm PetalLengthCm PetalWidthCm \\\n", "50 51 7.0 3.2 4.7 1.4 \n", "51 52 6.4 3.2 4.5 1.5 \n", "52 53 6.9 3.1 4.9 1.5 \n", "53 54 5.5 2.3 4.0 1.3 \n", "54 55 6.5 2.8 4.6 1.5 \n", "55 56 5.7 2.8 4.5 1.3 \n", "56 57 6.3 3.3 4.7 1.6 \n", "57 58 4.9 2.4 3.3 1.0 \n", "58 59 6.6 2.9 4.6 1.3 \n", "59 60 5.2 2.7 3.9 1.4 \n", "60 61 5.0 2.0 3.5 1.0 \n", "61 62 5.9 3.0 4.2 1.5 \n", "62 63 6.0 2.2 4.0 1.0 \n", "63 64 6.1 2.9 4.7 1.4 \n", "64 65 5.6 2.9 3.6 1.3 \n", "65 66 6.7 3.1 4.4 1.4 \n", "66 67 5.6 3.0 4.5 1.5 \n", "67 68 5.8 2.7 4.1 1.0 \n", "68 69 6.2 2.2 4.5 1.5 \n", "69 70 5.6 2.5 3.9 1.1 \n", "70 71 5.9 3.2 4.8 1.8 \n", "71 72 6.1 2.8 4.0 1.3 \n", "72 73 6.3 2.5 4.9 1.5 \n", "73 74 6.1 2.8 4.7 1.2 \n", "74 75 6.4 2.9 4.3 1.3 \n", "75 76 6.6 3.0 4.4 1.4 \n", "76 77 6.8 2.8 4.8 1.4 \n", "77 78 6.7 3.0 5.0 1.7 \n", "78 79 6.0 2.9 4.5 1.5 \n", "79 80 5.7 2.6 3.5 1.0 \n", ".. ... ... ... ... ... \n", "120 121 6.9 3.2 5.7 2.3 \n", "121 122 5.6 2.8 4.9 2.0 \n", "122 123 7.7 2.8 6.7 2.0 \n", "123 124 6.3 2.7 4.9 1.8 \n", "124 125 6.7 3.3 5.7 2.1 \n", "125 126 7.2 3.2 6.0 1.8 \n", "126 127 6.2 2.8 4.8 1.8 \n", "127 128 6.1 3.0 4.9 1.8 \n", "128 129 6.4 2.8 5.6 2.1 \n", "129 130 7.2 3.0 5.8 1.6 \n", "130 131 7.4 2.8 6.1 1.9 \n", "131 132 7.9 3.8 6.4 2.0 \n", "132 133 6.4 2.8 5.6 2.2 \n", "133 134 6.3 2.8 5.1 1.5 \n", "134 135 6.1 2.6 5.6 1.4 \n", "135 136 7.7 3.0 6.1 2.3 \n", "136 137 6.3 3.4 5.6 2.4 \n", "137 138 6.4 3.1 5.5 1.8 \n", "138 139 6.0 3.0 4.8 1.8 \n", "139 140 6.9 3.1 5.4 2.1 \n", "140 141 6.7 3.1 5.6 2.4 \n", "141 142 6.9 3.1 5.1 2.3 \n", "142 143 5.8 2.7 5.1 1.9 \n", "143 144 6.8 3.2 5.9 2.3 \n", "144 145 6.7 3.3 5.7 2.5 \n", "145 146 6.7 3.0 5.2 2.3 \n", "146 147 6.3 2.5 5.0 1.9 \n", "147 148 6.5 3.0 5.2 2.0 \n", "148 149 6.2 3.4 5.4 2.3 \n", "149 150 5.9 3.0 5.1 1.8 \n", "\n", " Species \n", "50 Iris-versicolor \n", "51 Iris-versicolor \n", "52 Iris-versicolor \n", "53 Iris-versicolor \n", "54 Iris-versicolor \n", "55 Iris-versicolor \n", "56 Iris-versicolor \n", "57 Iris-versicolor \n", "58 Iris-versicolor \n", "59 Iris-versicolor \n", "60 Iris-versicolor \n", "61 Iris-versicolor \n", "62 Iris-versicolor \n", "63 Iris-versicolor \n", "64 Iris-versicolor \n", "65 Iris-versicolor \n", "66 Iris-versicolor \n", "67 Iris-versicolor \n", "68 Iris-versicolor \n", "69 Iris-versicolor \n", "70 Iris-versicolor \n", "71 Iris-versicolor \n", "72 Iris-versicolor \n", "73 Iris-versicolor \n", "74 Iris-versicolor \n", "75 Iris-versicolor \n", "76 Iris-versicolor \n", "77 Iris-versicolor \n", "78 Iris-versicolor \n", "79 Iris-versicolor \n", ".. ... \n", "120 Iris-virginica \n", "121 Iris-virginica \n", "122 Iris-virginica \n", "123 Iris-virginica \n", "124 Iris-virginica \n", "125 Iris-virginica \n", "126 Iris-virginica \n", "127 Iris-virginica \n", "128 Iris-virginica \n", "129 Iris-virginica \n", "130 Iris-virginica \n", "131 Iris-virginica \n", "132 Iris-virginica \n", "133 Iris-virginica \n", "134 Iris-virginica \n", "135 Iris-virginica \n", "136 Iris-virginica \n", "137 Iris-virginica \n", "138 Iris-virginica \n", "139 Iris-virginica \n", "140 Iris-virginica \n", "141 Iris-virginica \n", "142 Iris-virginica \n", "143 Iris-virginica \n", "144 Iris-virginica \n", "145 Iris-virginica \n", "146 Iris-virginica \n", "147 Iris-virginica \n", "148 Iris-virginica \n", "149 Iris-virginica \n", "\n", "[100 rows x 6 columns]" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "virginica_versicolor = iris[(iris.Species=='Iris-virginica')|(iris.Species=='Iris-versicolor')]\n", "virginica_versicolor" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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46Q/2NRtMuhpSo9TYHDK2H0V2YU7Ls3/n3saWkg2Tr2l87kyzhQQbzltPFfK8XRm99zQEbVNQMafvTwu1Zbb3UNVOyNvPXtia9qSpKbK3VTx1kLuPLbfdVPVuKNti76Vn9of0JpWDfR6oLYaSDZA5wL52ahQ/VTaNLWefPZsxrqOx1ZbZW0jVbZy3nip43r6z/xbS8iNv3G9Cex91soyMDKqrq0OumzJlSocrpb722musW7eOn/zkJ3u0XyTHvvLKK7nttts45JBDOhKiilRarn302S/0+vSC5hf6ljL6tU4UDRxOe8HNHNDxOPcmtvZ0NLaG85bfxnnrqWL9nrag3xSiJFRSaCidHUvdoVR1V3h/lOrttPdRe1bNhz+Ogntz7M9V88PvE6FYlc6eO3cuN9xwAwCXXnopt912G0cffTR33HEHRUVF/OAHP2DChAlcc801DB06NFgmu+HYCxcuZMaMGcyePZuDDjqICy64IFgyY8aMGTQk2rfeeosJEyYwduxYZs6cCdiqr1OmTGH8+PFMmTKFr7+OXvFApVTX0rU/YsbCqvnw+k3gCRTAq9hqnwOMOTsqh4hF6ezVq1c32+6bb77hvffew+FwcMMNN3DMMcdw55138tZbbzFnzpyQca1YsYK1a9cycOBApk6dyuLFi5vVOCoqKuKqq65i0aJFDB8+PFgX6aCDDmLRokUkJiby3nvvcdddd/Hiiy929DQppbqg3vdN4f1fNCaEBh6XXR4lsSid3dJZZ50VvDX18ccfB6upHn/88eTmhm6Emjx5MoMHDyYhIYFx48axadOmZus//fRTjjrqqGDsDWW1KyoqOOussxg1ahS33nprs28ySqmepfclhYpte7Z8L8SidHZ7x4i0XSg5OTn4u8PhwOv1NlvfVlntu+++m6OPPpo1a9bw+uuvU1dXF9HxlFLdT8ySgogMEZEPRGS9iKwVkZtDbHOBiKwKPJaIyNhYxRMUagBNe8ujqCOls9szbdo05s+37SLvvPNOcJrMPXXEEUfw4Ycf8v333wONZbUrKioYNMj2jZ87d+5evbbqRnxeW+dob3lctjyDas7rbn2XoguK5TcFL/A/xpiDgcOB60WkZZ/H74HpxpgxwC+B0DfDo2nmz8HZYu4EZ6pdHmMLFy5k3LhxjB8/nhdffJGbb26VJwFbOvvZZ5/l7LMja+O45557eOedd5gwYQL/+c9/GDBgQMhbU+EUFBQwZ84czjjjDMaOHRucTe3HP/4xd955J1OnTsXn84V5FdWtVe2ED+6HFy6H9a+1LsnRHncVbF8OL18Db9wOpRttH/vezuexdaPeuN2em+3LoK4q3lG1qdO6pIrIq8Ajxph321ifC6wxxrRbvjQqXVJXzbdtCBXb7DeEmT+PWiNzPLjdbhwOB4mJiXzyySdcd911rFy5Mt5hBWmX1G6iuhAen2Uv5g1O+C1MvKKxDEd7ti+HfxwDDdeUpHS4/ovQZRp6k4rt8JfJUN+ky/qV/4XBh3ZqGF1q8JqIDAPGA5+1s9kVwH86Ix7GnN2tk0BLW7Zs4eyzz8bv95OUlMTf//73eIekuqPqwuYJAeDTv8LI0yGjb/v7elyw+E+NCQHsLahv34GJl0U/1u7k23ebJwSAJX+C0x9rXr6ii4h5UhCRDOBF4BZjTGUb2xyNTQrT2lh/NXA1wD777BOjSLuv/fffv83pOZWKWGJy62VJ6UAE83WLI3TRuuSsDofV7aWEOAfJ2facdUEx7X0kIk5sQnjaGPNSG9uMAf4BnGqMKQm1jTFmjjFmojFmYkFB6CH23W1kdm+h70s3kpoH+85sfC4CP/glZERQ1iIxyc4LkZTRuCxnKAwP+Tmvdxk2FXKHNT5PSocjbwudhLuAmH1TENu38Z/AemPMH9rYZh/gJeAiY8w3e3uslJQUSkpK6NOnT8gulSo+jDGUlJSQktKDJ0HpSdL7wBl/g11roOgrO3lOWzWWQskeDDd8YScCSsmyF8M92b+nyugHV7wDmxZDXaWdMCnc7bg4illDs4hMAz4CVgP+wOK7gH0AjDGPicg/gDOBzYH13nANIaEamj0eD9u2bdP+811QSkoKgwcPxuns4XXvleri4t7QbIz5mDA3I40xVwJXdvRYTqcz5AhipZRSe6b3jWhWSinVJk0KSimlgjQpKKWUCtKkoJRSKkiTglJKqaDeN8mOUj1ZXaWdOGrdK9D3EBg6rfngs9oSKFwP370PI46GfiMhrU/j+uoi2PwxFK6DQ06D7CHNR+RW7YKv3oC6Chg9G9L7gTPCQVjhYuvOqotg82IoXBv6vHUjPWKOZqUUtu7QV2/Acxc0LhtyOJz7NKTng7saPvwNLHm4cf2Um2D6HZCcATXF8OwFsPXTxvXnPA0HnWRHN1ftgjkzbCVVsCNyr10M+ftHFtvXb8Kz54eOrTurKYbnLoItSxqXNT1vXYTO0axUb1NTBP9tMYPg1k/ttwOwpa0/e7T5+s8etcvBbtc0IYB9vZoi+/v3HzYmBLDzA3z0B/BEMHdCTXHr2Q2bxtaduUqbJwSA9+9rPG/djCYFpXqSUPMXmIY5MAz4W8yH4ffZ5c22a+P1Qk2c43M37t8uA7761ov93tbLupuW5xS69TwSmhSU6inS+tiidE0VHARpgfv2SekwpsX0rmPODVRCxW7Xt8W8F9NubWxz2O9YSMlpXCcJdr0zgtpWaX1g2m2tY0vvujWAIpaW3/q8HXlb87aabkTbFJTqSVxlsGs1LJ8H/UfD2HObF6WrKYYN79l5DvY/zl7om97Tr94NXz5rX2P8RTBgDKTm2nU+L1Tvgs/+BnXlcPiPIGefxqTS0di6s5bnrf8YSMuNd1TNRNqmoElBqZ7I54GExLYbOn0ecLRRpNAYe1unrfV+Pxh/ZLOx7U1s3VW48xZncS+Ip5SKo3AXpvbWi7S/PiGBDt157qIXzQ4Ld966CW1TUEopFaRJQSmlVJAmBaWUUkGaFJRSSgVpUlBKKRUUs95HIjIEmAf0x87RPMcY86cW2wjwJ+BEoBa41BizPFYxKRUVnjpbnmHnl5AzBLIGNh+o5KoIFJ5bC31HQnofSMluXF9bApU7oHwrDBhr9206AKy6EEo3Qn2NLViX0a/ndd/sajx14CqBHYH3NHOgfd+ipeV7mt430Iur64lll1Qv8D/GmOUikgksE5F3jTHrmmxzArB/4HEY8Gjgp1Jd1+7V8MSJjWUbxpwLx/8a0vLsxWXti7Cgycjik/8IY88DZyrUlsJbd8GqZ+06RxJc9iYMnmSfVxfCv86wg6DADiy7+kPIHtx5f19vtHsNPHFCk/f0HDj+AfuedlR1IfzrTNi1yj5Pz4erF9pKql1QzFKVMWZnw6d+Y0wVsB4Y1GKzU4F5xvoUyBGRAbGKSakOqymGN3/cvI7PqmdtKWmwI33f+Vnzfd652y5vWN+QEMC+zps/tq8LsO2LxoTQcLwlfwZv962l0+XVlMB//rfFe/pc43vWUduXNSYEsO/p4j+DN0QtqC5gj5KCiGSJSF7DYw/2GwaMBz5rsWoQsLXJ8220ThyIyNUislRElhYVdc/Kg6qH8PtsSYOW3JWN6+trmq+rr7ajgKGxImlTNYWNRdUqtrdeX7EN/JoUYsbvtZ/mW6oL8V7tjYptrZdVbuuyxQAjSgoico2I7AZWAcsCj4hqTYhIBvAicIsxprLl6hC7tKq7YYyZY4yZaIyZWFDQQyblUN1Tai5MuLj5sox+kNHf/u5MheHTm68fPh2caYFt+7eu9zP+osb6QgfMaj0q9rBrICktOvGr1lJzYXyI9zSzf3ReP9R7OrnrvqeRtincDow0xhTvyYuLiBObEJ42xrwUYpNtQNMba4OBHXtyDKU6VWISTLoKkrNh9XOQtx/MvBsyAtU+0/LgzL/D4ofh+0Uw/CiYelNjcbSMvnDFu/D+L6F0A4w+B8acbV+3Yf2V78N799lvGFNvtsXVVOwkJsGkKyE5K/R72lHpBa3f0wFjo/PaMRBRQTwReQs4wxhTG/EL255FTwKlxphb2tjmJOAGbO+jw4CHjTGT23tdLYinugSfz95zdqaErhLqddtbRcmZdoayluprbKN0Sg44HK3X11XYW05drNJmjxbuPe2oukp7mzBO72m0C+LdCSwRkc+A4Ewbxpib2tlnKnARsFpEVgaW3QXsE9j3MeBNbELYgO2SelmE8SgVXw5H+10WE5NDJ4MGSentX3iadmFVnSPce9pR3WTO5kiTwt+A/wKrsWMOwjLGfEzoNoOm2xjg+ghjUEopFWORJgWvMea28JsppZTqziLtkvpBoFvogL3pkqqUUqp7iPSbwvmBn3c2WWaAEdENRymlVDxFlBSMMcNjHYhSSqn4azcpiMiF2G6rT7VYfhVQY4z5dyyDU6pb8tTZSerrKmwvotTcFgXvisDrsn3Wk7PtQKk9me+4psh2b3Q4ISkjOvV5uoO6StvNt77Gntf0gi5bVK47C/cv8X+Ao0Isfw74ANCkoFRTPg9sXgzPXQAelx3hfM7TdhCbw2kTwrInYOGvwfjtAKlLXoeCgyJ7/erd8NQZtoAbwCGnwkl/sEXWerK6Clj6OLz/i8bzdumbkL9/vCPrccKlWUegmF0zgXIV3X+GaqWirbYEXrrKJgSwP1++2i4H8NTAwv+zFzawNXfe/DFUhain1JLfay+MDQkBYN2rULiu7X16irpKeP++5uftjdvAFaWidSooXFJwikirETaBUthJsQlJqW7M72lMAA1qihsL2lUXQssqAkVfgc9NWF437FjZennTqqo9VW1xiPP2NXjr4hNPDxYuKfwTeCFQ5RQIVjx9NrBOKdVUYgr0G9V8Wb9RkJhqf88a1Hok8/6zbNtCOEnpMPqs1sv3O3bvYu1OMgfY9pOmDjzR1itSUdVuUjDG/A54FfhQREpEpAT4EFhgjHmwMwJUqltJL4DznoERM2xl1BEz7POGe/5peXDxa9B/tL3IjTkXjr4LUiMsa7HvMXD0T+1sbTlD4awn7QWzp0vrA5e+YYsDJmXAuPPteeuilUa7s4gK4kGwBLaEamPoTFoQT3ULrnJ7ayMxBVJzWq+v2AH4wZkBaSHWt8frtq8vQFo+JIQoqNdT1RTbtpXkzNgUrevBoloQT0SSgR8Cw0QkuI8x5hd7H6JSPVioRNBU9sC9f+3EZMjsF367nqin97LqAiLtHP0qUIGdXCeCFjGllFLdUaRJYbAx5viYRqKUUiruIh0OuERERsc0EqWUUnEXrszFamzhu0TgMhHZiL19JNjpEHSeQKWU6kHC3T46uVOiUEop1SW0mxSMMZsBROQpY8xFTdeJyFPY6TZDEpHHsUml0BgzKsT6bOBf2Ok5E4HfGWOe2OO/QKkY8FYW4vDbPhU+ZwaJ6S3m1a3cYescJTggNW/P+st768FVartWJqZ0bo8avx+qArE7nJDRv3kxvo7G5ioHTy0gdvrJPek2agzUFNoYEpMgLcoF7zoSWy8SaUPzyKZPRMQBHBpmn7nAI8C8NtZfD6wzxpwiIgXA1yLytDGmPsKYlIoJU7ULx1s/Rta/Bo5kHFNuxDfxChxZgUFi5Vvg+Uth+zJbAfXkh2D49MgmZK+vge8WwmvX20qqgyfC2fPsSOdY83lh91p4/mIo22QHv539FPQbaRNDy9gGHQrnPBV5bDVF8OYdsO4lcCTBtNtg8tWRVXH1+6FoPTx7fmNs5/4b+h4SncTQkdh6mXbPtojcKSJVwBgRqQw8qoBCbDfVNhljFgGl7W0CZIqIABmBbb17FL1SUeb3eWH1C8i6V+0nV28dsuhBEiq22g1qiuHtn9qEAPbi+eIVtgx2JOoq7EXZVWafb1sKb91lC77FWtUumH+RvegClG+G+Rfa5aFi274M/nNnZLH5/bDmZVj7YuC8uW0l2IZjhVNbBM+c1zy2Z8+zF/OO8vth7St7H1svE67Mxa+NMZnAg8aYrMAj0xjTxxhzZ3v7RuAR4GBgB7AauNmYhhKISsWH31WBfP9h6xWbPrY/PbWw9dMWO3nt7aRIVO202ze1ZUngtkaM+T32YttU+ZbGYn2hYtv6SWSxeV3w3Xutl29eElls3vrQsUVSKDCS2DYZLs7dAAAgAElEQVS8u/ex9TLhvilMEJEJwPMNvzd9dPDYs4CVwEBgHPCIiISsbhWYH3qpiCwtKorCJwel2pCQmo0ZdmTrFUOn2p/ONBh8WIudEiErwhHKmQPs9k0NOdy+bqw5nJCzT/NlOfvY5W3FNviwyGJLTIV9Z7ZePvSIyGJLTLK3jFrGlpgc2f5hYwtRNDDS2HqZcDfrfh94/AX4DJgD/D3w+8MdPPZlwEvG2gB8D4ScacQYM8cYM9EYM7GgoKCDh1WqbQmORBh9FubgH4IIJCZjjvwf/A0XrPR8OP7/YGDgM1FKDpzx99YVPNuSkg1nzbX7gX2d4x+wDZ+xltHftiE0JIbsIbY9I6N/G7GNhxN+E1lsCQkw6gw45LTgeWP6HZAb4Uy+aQW2DaFpbOf+2y7vqIQEGHX63sfWy0RUEE9EngXuN8asDjwfBdxujLk0zH7DsBVVQ/U+ehTYbYy5V0T6AcuBscaY4vZeUwviqc7grdqNw2eH5LTd+6jefrLuTr2PfF47e5uvvhN6H2Xv2Xnx++28CV53J/Q+2sPYeoCoFsQDDmpICADGmDUiMi5MAM8AM4B8EdkG3ENgtjZjzGPAL4G5gQFyAtwRLiEo1VkSmxScC/mfJNLbRSFfPAky++/9/h3hSITsdnoTdTS21JzwxQDbkpBgp9mMlY7E1otEmhTWi8g/sOMKDHAhsL69HYwx54VZvwM4LsLjK6WU6gSRJoXLgOuAmwPPFwGPxiQipZRScRNRUjDG1AF/DDyUUkr1UOEK4s03xpzdpDBeM1oQTymlepZw3xQabhdpYTyllOoFwiWFc0RkMbDCGKMlKFTX4ioLdF9sYx7kOKqorcft9ZPsTCA7NSne4SgVsXBJYTDwJ+AgEVkFLAEWA58YY9qra6RUbJVvgddugm2fw5DD4JQ/tR6tGyfbymq56+XVLN1UxsRhufzf6aMZnNu7+sSr7itc7aPbjTFTgP7AXdiidZcDa0RkXSfEp1RrNUW2mubGDwKVPf8Lz14A1fEvgVJS7ebqectY9E0xtfU+Fn1TzNXzllFSrVObq+4h0i6pqUAWkB14NBSxU6rzeetgV4t/frtWga8uPvE0Uef1s25n86qi63ZWUufVWo+qewjX+2gOdi6FKmy9oyXAH4wxZZ0Qm1KhJTghrQ/UljQuS8+3y+PMmSDkpSdRWtM4LUheehLOBIljVEpFLlxhkX2AZGAXsB3YBpTHOiil2pXWB06fYxuYwf487W92eZzlpifxx7PHkpxo/2slJybwx7PHkpuujc2qewhbEC8wCc5IYErgMQrbtvCJMeaemEfYghbEUwB4XLbAWV257XmUkgPO1HhHBUCdx0eFy0OFy0N2qpPsVCcpTke8w1K9XNQK4hmbNdaISDlQEXicDEzGFrlTqvM5U+2jYYrMLiTF6SDF6aBfVkq8Q1Fqj4VrU7gJ++1gKuAh0B0VeBxtaFZKqR4n3DeFYcALwK3GmJ2xD0cppVQ8hUsKv2r4RUTyWq7UAWxKKdWzhEsKy7CF8EL1pzPAiKhHpJRSKm7aTQrGGJ3EVCmlepGIJ0AVkVwRmSwiRzU8wmz/uIgUisiadraZISIrRWStiHy4J4ErVe/1U1rjpn4vRwtX1Xkor60Pv2EM1Lq9lNbU4/OHnyO923GVQV1l+O1UlxRRmQsRuRJbRnswsBI4HNsL6Zh2dpsLPALMa+M1c4C/AscbY7aISAwnZ1U9TVGVm78v2siSjcVM3TefK48cQUFmckT71nl8bCyq5rdvfU1NvZdrp+/LpGF5ZKXGfkS0MYbtZS5+/+7XbCyq4bTxgzh13CDyesLgNlc5bPkUFj8ESekw8x7IPwCc2jW3O4m09tHNwCTgU2PM0SJyEHBfezsYYxaJyLB2NjkfeMkYsyWwfWGEsaherry2nlufW8HHG2yZizXbK1m3s5I/nzeenLTwF9fiKjen/mUxHp/9lP7FpqU8c9XhHLFv7EdEF1e7OePRJRRW2QJ5X26roKrOw7XT9yMpMeIv7l3TrtXwzDmNz7//EG5c3mWq16rIRPqvsC4wJScikmyM+Qo4sIPHPgDIFZGFIrJMRC7u4OupXsLl8QUTQoOPvrVVSSPx/leFwYTQYO6S73FFuH9HFFa5gwmhwbOfb6XcFZ/bWFHjqYXPHmu+zOeBr9+KTzxqr0X6TWFb4HbPK8C7IlKGrZTa0WMfCszEVmH9REQ+NcZ803JDEbkauBpgn330U0dvlyBCWpKjWRJIT3LgiLDo3IDs1rczBmanktgJRevSk1v/l8vPTO6UY8eUOCF7cOvlWQM7PxbVIRF9UzDGnG6MKTfG3AvcDfwTOLWDx94GvGWMqTHGFAOLgLFtHH+OMWaiMWZiQUFBBw+rurvsVCd3nnBQs2V3nngw2RG2CYzfJ5eDB2QGn+elJ3HVUSNwdsLtm5xUJ6eNa7xQJjkSuPeHI8lLj6w9pMtKdMKUG2y12gb9RsGQyfGLSe2VsAXxAETkKWPMReGWhdhvGLDAGDMqxLqDsQ3Rs4Ak4HPgXGNMm72VQAviKavS5aGkpp71Oys5eEAWfTKSyEqJvKG4uMrNxuIaauu9HDIwi/z0ZBI66dN6aU09OytcbC1zMWZQNnnpST2jYJ7fbydA2rXKNjT32Q8ytP9IVxG1gngBI1u8uAN766e9AJ4BZgD5IrINWzzPCWCMecwYs15E3gJWAX7gH+ESglINslKdZKU6GZ6fvlf752cmkx9hb6Voy0tPIi89iZEDs+Ny/JhJSIDMfpD5g3hHojogXEG8O7HTcKaKSCWNI5vrgTnt7WuMOS/cwY0xDwIPRhaqUkqpWAs3R/OvjTGZwIPGmCxjTGbg0ccYc2cnxaiUUqqTRNqy9lMRuVBE7gYQkSEioi1ISinVw0SaFP4CHIEdcAZQHVimlFKqB4m0ofkwY8wEEVkBYIwpE5EeMC5fKaVUU5F+U/AEehwZABEpwPYYUqpdfr/B54/dP5Vwo5C97Ry7o7HVe8OMgPZ521/vD7NeqTiI9JvCw8DLQF8RuR+YDfwsZlGpbs/r87O7ys1Tn2ym0lXPZVOHMygnlbQQI3r3xq6KOhZ9W8TH3xYzbf98jtq/gP5NRioXVdXx8ortrN9ZxdkTB3PwgKxgXaSWsV06dTiD9yC2oqo61u+s4uUV29mvbwZnThhE/+zUxg1qiuG7D+Dbt2D/42Hfo5sP6qreDavm21pB4y+C/qMgNTcq50Wpjopo8BpAoAjeTGy31PeNMetjGVhbdPBa97Croo7jHvqQSpf9NOxIEBbcOI2DB2R1+LV3V9bxwH++4uUV24PLzpgwiDuOP4h+WSkUV7s5/++f8s3u6uD6384ew5kTBuNIkA7F5vH5eX7pVu56uXFIzQH9Mph3+WE2KdVVwls/gZVPN+407gI4/gFIyYLqIph3ChQ2+e9z6l9g7HmQ0AMGsKkuK9LBa+3ePhKRFBG5RUQeAaYDfzPGPBKvhKC6jw+/KQxedAF8fsNjH36HO9wtlwh4fX5eXbm92bJXV+7A47O3gkqq65slBIC/frCB0hp3m7E9unBDRLEVVrqZs2hjs2Xf7K4Ovjb11fDlM813+vIZuxygtqh5QgD46PdQ27zAn1LxEq5N4UlgIrAaOAH4XcwjUj1CYkLrf1pJjoSQ87rujZbF75o+DVWtItGRgIhd4XSEiC0xsthEwBHib2uMR1p/4k9wEBz3KSG+DThiP4+DUpEKlxQOMcZcaIz5G7Ydod3Z1pRqcOT++fRtUkYiOTGB62bsS1Jix2+ROB0JXHDY0GbLLjhsKEkOe+HNS09iwtCcZutvP+4A+gQmspm2X+vYfjRjv4hi65+VzK3H7t9s2YR9cshpKMaXnAmTr2m+0+Rr7XKAtD4wuMUQn2PuhnQt9Ki6hnbbFERkuTFmQlvP40HbFLoHYwyFVW7eXrOLyjoPp40bREFmMslRKvy2s8LF17uqgg3NB/bPZECTxt7iKjefbCzhq12VnDxmIINyUoMzq7WM7dRxg+i7B7EVV7nZWVnHgi93cEC/TKbtl0+/puW4a0pg9xrb2Lzv0bZaaHqTCXyqC2HTR7B7LYw8A3KGQEoPq4OkupxI2xTCJQUfUNPwFDvvQW3gd2OM6Xir4R7SpKCUUnsuKlVSjTHaHUIppXqRbj4prFJKqWjSpKCUUipIk4JSSqkgTQpKKaWCYpYURORxESkUkXan2BSRSSLiE5HZsYpFKaVUZKJTnSy0ucAjwLy2NghUXv0N8HYM41BtqHF7KKyq58NvCtmvIJODB2TSJyM+8xa3VFbjprTGw/tf7Wb/vja2ZkXnwiipdrN+ZxUbiqqYfkBf+mYmkZ7cOHJ4V4WLTzeWUOnyMvPgvvRJTyYlyXa28/j8FFe7+fCbIjKTnUwenktBZkpbh+pZaopg11oo/hr2OxYy+kFyRryjUp0oZknBGLNIRIaF2exG4EVgUqziUG1btrmcS574nIahKjMOKOAP54wjLz3+U2Ws2FrBFU9+EYztqP3zefCssfTLCn9xLq2p53/mf8nCb4oASJB1zLt8MtP2t6OGd1W4OOtvn7C11AXAb976igU3Hcnw/HQAdlbUccJDi6gJlOXeJy+NF687oucnhtoSePla2PCefS4JcOFLdgCe6jXi1qYgIoOA04HH4hVDb1Zc7eb+N9bTdOziwm+KqKitj19QATvLXfz2ra+axbbo22IqXZ6I9i+vrQ8mBAC/gfvfXE9JtS1at3hDSTAhANTU+3hs4QZc9T7qvT7+unBDMCEAbCmt5bONpR38q7qB2tLGhABg/PDOT21lV9VrxLOh+SHgDmNM2NKUInK1iCwVkaVFRfoPNBqMMdTUt57kpc4b/7mT/Biq3XsfmzvEdtVuL/5Alqmsa51cqtxefH4/Pj8hk0+ofXocr7v1Mne1TQ6q14hnUpgIPCsim7DF9v4qIqeF2tAYM8cYM9EYM7GgQAuHRUNuWhKXTR3WbNnQPmnkd4E2hfz0ZC4+onnBu6F90siP8LZWfkYS++SlNVt2+dTh5Ab2P/bgfqS2qHN0xbThZKQ4SU1ycPVR+zZbl5bk4OgD++7pn9H9ZPSFvBHNlx1+XfO6TarHi3iSnb16cdumsMAYMyrMdnMD270Q7jW19lH0lNXU88nGEp5fuo0D+2dw2dThEd2z7wxFVXUs+a6EV1bsYN+CdC6fNpyBOZE3NO+urOPxxd/zza5qzp44mCP27ROcec3l8bKjvI5HF26g2u3jyiOHM6JPOnmBhFhd52FDYQ1/W/QdWSlOfnT0vgzMScHp6AVVXyp3wmd/g8K1MP5CGHYkpOXFOyoVBVEpiNfBAJ4BZgD5wG7gHsAJYIx5rMW2c9GkEDc1bi9JiQkh5xmIt/KaelKSEkhx7nmfCI/PT73XT3ob02zWuD34/ASrp7bkqveRIEStsmu34fPYW0na66hHiUpBvI4wxpy3B9teGqs4VHhtXTS7gpwO9IRyOtpPdE27qIaSmtTLkkEDh1Mn/unFut5HQ6WUUnGjSUEppVSQJgWllFJBmhSUUkoFaVJQSikV1HW7nSjAlmwoq/VQVFXH0D7p5KU7O62/fFFVHS6Pn++Lqxmen0Ga00F+ZuPgtsKqOipdHnZX1jE8P4PcdCepTbqO7qpwUVxdj6vex+C8VAa0KGi3s8LFtlIXqUkO8jOS6Z/dOEbC4/NRWuNhc0kNBZkp5KY5g+MMwI5QrnTZ9UP7pJOd6mzWiyqe502p7kyTQhdWXlvPQ+99y9wlmwA7svaF66ZwyICsmB+7wlXPh98U8eMXVuE3kCDw4OyxHHdIPzJTnRRW1fHw+9/yr0+3BGN77uojGD04G4BdFXVc/+8VLNtcBsCgnFTmX3MEg3JtYthe5uKsx5awo6IOgIlDc3nk/PHBSqjf7q5m9mOfUBuoQXT51GHcNHN/ctKSqPf6eX/9bm59bmUwtofOGc/xo/qTlJgQ+rxdO4VDBsb+vCnV3entoy6s0uUJXtgAaut9/PyVNZTVxL5oXVWdl/teW4c/MLbRb+C+19cGawDVuH3BhNAQ272vr2V34CL/5dbyYEIA2F7u4vHFG3F7fNR5vPzz443BhACwdHMZq7ZVAHak9c9eWRtMCACPL95EVZ2th1RWW8/PXl7TLLafvbKaskAxv8o6b6vzdvernXPelOruNCl0YeUhCrNtK3Ph8ce+QJnf2CJxTVXWeYMX4lAX2O1lLryB2L4vqWm1fkupC7fXh9vrZ0tpbav13xfbfTw+P9vLW69vOB8+vwkZmy8QXEWI87a9zIXHp4XdlApHk0IX1j8rhZy05iNLTx8/iOw2yjJEU2KCMGGf3GbLJg7NJTFBABiQ3Tq2k8cMCC477pB+BDYNOuvQwWSlJpGdmsTsQwc3W+dIEH5wSD8AslOdnDZuULP1uWlO+gXaM1KcDg4d2jq2FKf959wvM7lVbKeNH0h2mo7SVSqcmBbEi4XeVPvI5zdsKqnhF6+vZXNJLaeMHcilU4Z12uxoOwLzGizbUsbEobn876yDgkXpPF4/35fU8KsF69hcWssJo/pz+dTh9A0U1CuvrWftjkp+9/bX1NR7uXTKMI49pB99AxPVFFXV8e663cxdson0pERun3UgIwdkkpNu/7aSajdzl2zitS93MCw/nXtOPoShfdJxBDLN7so6fvPWV3yxqZTJw/vw41kHBov5NT1vm0pq+WEnnzeluqK4F8SLld6UFBpUujy4vX5yUp04Ezv3y11pjZsat4/0ZAd56a0vqsXVbtweH3npSaQmte63sKvChd/YT++OFnWIfD4/u6vcJAghp9r0eP2UuzwkJyaELFpXW++lxu0lPSmRtBD1m+J53pTqauJeEE9FT1tVPDtDXnoyeeltrw83/0J78yo7HAntlsN2JiZQkNn266clJZIWIhE1iOd5U6q70o9PSimlgjQpKKWUCtKkoJRSKkiTglJKqSBNCkoppYJi1vtIRB4HTgYKjTGjQqy/ALgj8LQauM4Y82Ws4lGhFVW5qa33kpLoIDO1eW8ej89HWY2H2nofaUkOcvewqFyly0O124vfGNKSQndp3dvYOqqjsSnVU8WyS+pc4BFgXhvrvwemG2PKROQEYA5wWAzjUS1sKa3lgn98ytZSF8mJCdxzykhOGTuAzBQnPp+flVsquGLeF1S6vGSnOvnnJRMZPySn1XiDUEpr3Dz49jc8+8UWjIHJw3P56/mHNquyurexdVTI2C44NGz3WqV6g5jdPjLGLAJK21m/xBjTUDHtU2BwW9uq6Kt0ebj7ldVsLXUB4Pb6+dkrq4NF50pq6vnRv5dT6bLPK1wefvT0ckoiLCq3obCGZz63F12Az78v4/ll2/BFUH8oXGwdFSq2+Uu3RhSbUj1dV2lTuAL4T1srReRqEVkqIkuLioo6Mayeq87jY92OqmbL/MaOUAZblK6oyt1sfWGVG48/shHwX24tb7Vs6eZS3BFceMPF1lGrtoWIbVNZRLEp1dPFPSmIyNHYpHBHW9sYY+YYYyYaYyYWFBR0XnA9WHpyIkfun99sWXJiQrB+UHKig30Lmg9l3rcgg+QIbh0BrV4b4ISR/Ul1hm+TCBdbR03dL0RsoyKLTameLq5JQUTGAP8ATjXGlMQzlt4mPTmRn5xwEMce3BcRGJKXyrzLJ5MTKA2Rn5nMPy6ZxOhBdtKc0YOy+eclEyNuExiQk8qvTx9FTpqT5MQELp86jGMO7oeIhN03XGwdNTBEbDMjjE2pni6mBfFEZBiwoI3eR/sA/wUuNsYsifQ1e2NBvFiqdHmo8/gQEfIzklpdGEuq3fj8hsSEBPIyktp4ldDqvX7KXfVgIDMlMWTBvI7E1hEdjU2p7ibuBfFE5BlgBpAvItuAewAngDHmMeDnQB/gr4H/7N5IAlbRlZXqbLdwXEfKTSclJgRLZe+NcLF1REdjU6qnillSMMacF2b9lcCVsTq+UkqpPRf3hmallFJdhyYFpZRSQZoUlFJKBWlSUEopFdRr+uGVVNvRuM4E6VUTuNe47TzGADlpSSS1mKu4vLYet9dPgtipNx0J2ldfqd6sxycFYwzfF9fwo6eX89WuKg4ekMlfzp/AiIKMeIcWc6U19fz+na+Zv3QrqU4Htx93IKeOG0h2mh1vUFhZx+0vfMmib4oZkJ3C788ay4ShuaToyF6leq0ef/uopLqey+d+wVe7bC2d9TuruGreUoqrolNHp6syxvD22l08/dkWPD5DZZ2Xn7+2lh0VdQBUu73c/+Z6Fn1TDMDOijoum/sFFS5PPMNWSsVZj08Kbq+PTSW1zZZ9V1TT44uf1db7eGft7lbLl3xnq4nUur0s3lDcbJ3b62d3ZV2nxKeU6pp6fFJwOhLo26JeT/+sFJw9/N55itPBYSPyWi0fNyQ7uL6hrlGDBIGCXtTeopRqrccnhT7pSTx24aHkptlyCXnpSTx64YQe39jsSBBmHzqYKfv2AewF/9IjhjI837alZKU6+cWpoxiRbyuhpjgTeODMMWTGqKyEUqp7iGlBvFjYm4J4Hp+fspp6XB4fqU4HeelJJEZYArq7K62px1XvJSFByEhObDVzWVGVG5fHR7Ijgay0RFKdPb7vgVK9UtwL4nUlTkcCfaNUi7+7yUtPgvS2q5sWRFgKWynVO/SOj8tKKaUioklBKaVUkCYFpZRSQZoUlFJKBWlSUEopFRSzpCAij4tIoYisaWO9iMjDIrJBRFaJyIRYxRJrHo+P7WUudpa79mr/sho328tqKaut36v9S6rdFFW58cVglHa120NhZV2wqF5L5bX1FFbV4fb4on5spVTni2WX1LnAI8C8NtafAOwfeBwGPBr42a0UVtXxxqqdzPtkM2lJDn4860DGDM4ht51uoE1tL6vl/95cz7LN5Rw6NIe7TjyEQbmpEe1b4/ayYms5v35zPbX1Pq46cjgnjh5ATlpkxw5nV4WL+99czxfflzFpeC4/PfFg+mfb2Hw+PxuLa/j5q2vZUlrLyWMGcPVRI3r8oEClerpYztG8SESGtbPJqcA8Y0fPfSoiOSIywBizM1YxxcLn35dy3+vrgs8vm/sF7942PaKksLvCxfX/XsHKreUAvLF6Fzsr6vjrBYfSPzv8uIrCKjcX/fMzGsYf3vXyGvplpTDz4H5798c0UVrj5tp/LQ/G9vqXO9le5uIfl0wiLz2Jkpp6znxsCZUu+w3ib4s24jdw+3EHkKxVVpXqtuLZpjAI2Nrk+bbAsm6jvLael1dsb7bMb+D99a0L0YVS7zPBi26D5VvK8UR4G+iDrwppOSD92S+2UtvGrZ494fL4Q8ZWF7hNtKuyLpgQGrz+5Q6tsqpUNxfPpBCqIl3ImhsicrWILBWRpUVFRTEOK3IpzgSG9UlrtXzfCOdqcCQIWSnNv6xlpzpJiLBY34iC9FbL9u+b0Woinb2RGCK2rNTE4CQ8uSFuUQ3JS43KsZVS8RPP/8HbgCFNng8GdoTa0Bgzxxgz0RgzsaCgoFOCi0SKM5Erpo1gcJM2gCNG9GHkwOx29mqUk2aL0jVcaB0Jwi9PHUleamR39UYPyubwJpVQh+SlcsmUYVGp65SblsSvzxjdLLYHzhgTLCyYlZLIVUcOD26fkZzIL08dFbX2DKVUfMS0IF6gTWGBMWZUiHUnATcAJ2IbmB82xkwO95p7UxAv1nZVuNhVWUdKooPcNCf9siNrKAYoq6mnpt7LtjIXg3NTSU9KjLiRGmzPo9Kaeup9fvpmpkS1llGN20uly8OOChcDs1PJSnWSntyYsMpr66l0eSipqWdgTip56Uk4e0mhQaW6m0gL4sUsKYjIM8AMIB/YDdwDOAGMMY+JiGB7Jx0P1AKXGWPCXu27YlJQSqmuLu5VUo0x54VZb4DrY3V8pZRSe06/6yullArSpKCUUipIk4JSSqkgTQpKKaWCNCkopZQKiuk4hVgQkSJg817ung8URzGcaNLY9k5Xjg26dnwa297prrENNcaEHf3b7ZJCR4jI0kj66caDxrZ3unJs0LXj09j2Tk+PTW8fKaWUCtKkoJRSKqi3JYU58Q6gHRrb3unKsUHXjk9j2zs9OrZe1aaglFKqfb3tm4JSSql29LikICIpIvK5iHwpImtF5L4Q2ySLyHMiskFEPgszbWhnx3apiBSJyMrA48rOiK3J8R0iskJEFoRYF5fzFmFscTtvIrJJRFYHjtuqhK9YDwfO2yoRmdCFYpshIhVNztvPOzG2HBF5QUS+EpH1InJEi/XxPG/hYovLeRORA5scc6WIVIrILS226dB5i1mV1DhyA8cYY6pFxAl8LCL/McZ82mSbK4AyY8x+InIu8BvgnC4SG8BzxpgbOiGeUG4G1gNZIdbF67xFEhvE97wdbYxpq3/4CcD+gcdhwKOBn52lvdgAPjLGnNxp0TT6E/CWMWa2iCQBLacxjOd5CxcbxOG8GWO+BsaB/ZAEbAdebrFZh85bj/umYKzqwFNn4NGy4eRU4MnA7y8AMwPzO3SF2OJGRAYDJwH/aGOTuJy3CGPryk4F5gXe/0+BHBEZEO+g4klEsoCjgH8CGGPqjTHlLTaLy3mLMLauYCbwnTGm5WDeDp23HpcUIHibYSVQCLxrjPmsxSaDgK0AxhgvUAH06SKxAZwZ+Nr3gogMCbE+Vh4Cfgz421gft/NG+NggfufNAO+IyDIRuTrE+uB5C9gWWNYZwsUGcETgluZ/RGRkJ8U1AigCngjcEvyHiLScdDxe5y2S2CA+562pc4FnQizv0HnrkUnBGOMzxozDzvs8WURaTgca6tNtp3xijyC214FhxpgxwHs0fjKPKRE5GSg0xixrb7MQy2J+3iKMLS7nLWCqMWYC9mv79SJyVIv1cfv3RvjYlmPLH4wF/gy80klxJQITgEeNMeOBGuAnLbaJ13mLJLZ4nTcAAre0fgg8H2p1iGURn7cemRQaBL7yLWrBnXwAAAUjSURBVMRO+dnUNmAIgIgkAtlAaVeIzRhTYoxxB57+HTi0k0KaCvxQRDYBzwLHiMi/WmwTr/MWNrY4njeMMTsCPwux93dbzjUePG8Bg4EdXSE2Y0xlwy1NY8ybgFNE8jshtG3AtibflF/AXohbbhOP8xY2tjietwYnAMuNMbtDrOvQeetxSUFECkQkJ/B7KnAs8FWLzV4DLgn8Phv4r+mEARuRxNbi3t8PsQ2rMWeMudMYM9gYMwz7tfS/xpgLW2wWl/MWSWzxOm8iki4imQ2/A8cBa1ps9hpwcaBXyOFAhTFmZ1eITUT6N7QLichk7DWhJNaxGWN2AVtF5MDAopnAuhabxeW8RRJbvM5bE+cR+tYRdPC89cTeRwOAJwMt8wnAfGPMAhH5BbDUGPMatgHpKRHZgP2ke24Xiu0mEfkh4A3EdmknxRZSFzlvkcQWr/PWD3g5cH1IBP5tjHlLRK4FMMY8BrwJnAhsAGqBy7pQbLOB60TEC7iAczsj0QfcCDwduBWyEbisi5y3SGKL23kTkTTgB8A1TZZF7bzpiGallFJBPe72kVJKqb2nSUEppVSQJgWllFJBmhSUUkoFaVJQSikVpElBdVsi4hNbKXKNiDwf6KrX3vZ3Rfi6mxoGIolIdbjtO0JsddeBoY4dYtsTRGSp2KqdX4nI72IZm+qdNCmo7sxljBlnjBkF1APXhtk+oqTQyS4FBobbKFAO5RHgQmPMwcAobP95paJKk4LqKT4C9gMQkQvFzluxUkT+FihC+ACQGlj2dGC7VwKF4ta2UyyulcDI9BdF5IvAY2pg+b0i8riILBSRjSJyU5N97g58un9XRJ4RkdtFZDYwETtIamVglDvAjSKyXOw8CAcFlv0YuN8Y8xXYgoTGmL8GXnuuiDwqIh8Ejjs9EMd6EZnbkZOqeh9NCqrbE1uH6QRgtYgcjJ3jYWqg8KAPuMAY8xMav1lcENj1cmPModgL800iEmnF1z8BfzTGTALOpHk574OAWdgaQ/eIiFNEJga2Gw+cETgexpgXgKWB+MYZY1yB1ygOFLF7FLg9sGwU0F5BwFzgGOBWbHHAPwIjgdEiMi7Cv0upHlnmQvUeqWLLkIP9pvBP4GpsMbwvAuUdUrFlykO5SUROD/w+BDspSST1a44FDpHGqSSyGmoMAW8ECvO5RaQQW2piGvBqw0VfRF4P8/ovBX4uwyaRSLxujDEishrYbYxZHTjWWmAYsLK9nZVqoElBdWeuwLeBoECRsieNMXe2t6OIzMBe3I8wxtSKyEIgJcLjJgT2czVdGEgS7iaLfNj/Y3s6EVHDazTsD7AWm+y+DLOPv0UMfvT/udoDevtI9TTvA7NFpC+AiOSJyNDAOo/YaVDBlv0uCySEg4DD9+AY7wDBaT8juD3zMXCK2Dm6M7AzyDWoAjJD79bMg8BdInJA4JgJInLbHsSs1P+3d8coDQRhGIbfT6zEk3gDr2MhguAJPEM6QVJpZS94gbRCii2ElIFcICBYWPwWsw4SVMQiEXmfblh2WLbYb4Z/2P9HXEHoX6mqpySXtG5je8ArcA4sgSkwJJkDJ8BZkgFYAJt9st8dJFl9GE+AC+BqvHcfmPHNyaeqekxyT1vlL2l1hPV4+Qa4TvICHH8+A1TVkNag/W48elvAw9dvQvod/5IqbUGSw6p6Hj/oM+C0qua7fi5pkzsFaTumSY5odYtbA0F/lTsFSVJnoVmS1BkKkqTOUJAkdYaCJKkzFCRJnaEgSereANsm7ElXfzVzAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.scatterplot('PetalLengthCm','PetalWidthCm',hue='Species',data=virginica_versicolor)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "No son linealmente separables." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "X=virginica_versicolor[['PetalLengthCm','PetalWidthCm']]\n", "y=virginica_versicolor['Species']" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "# Escalamos X\n", "X=scaler.fit_transform(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Modelos con distintos valores de C" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "svm_C_grande = SVC(kernel='linear', C=100)\n", "svm_C_pequeño = SVC(kernel='linear', C=1)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "SVC(C=1, cache_size=200, class_weight=None, coef0=0.0,\n", " decision_function_shape='ovr', degree=3, gamma='auto_deprecated',\n", " kernel='linear', max_iter=-1, probability=False, random_state=None,\n", " shrinking=True, tol=0.001, verbose=False)" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "svm_C_grande.fit(X,y)\n", "svm_C_pequeño.fit(X,y)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'C=1')" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12,3.2))\n", "\n", "plt.subplot(121)\n", "plot_svc_decision_boundary(svm_C_grande, -3,3)\n", "sns.scatterplot(X[:,0],X[:,1], hue=y)\n", "plt.title('C=100')\n", "\n", "plt.subplot(122)\n", "plot_svc_decision_boundary(svm_C_pequeño, -3,3)\n", "sns.scatterplot(X[:,0],X[:,1], hue=y)\n", "plt.title('C=1')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# SVM No Lineal" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vamos a usar `make_moons`, que es un paquete dentro de Scikit-learn que nos genera grupos de puntos del plano aleatoriamente." ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import make_moons" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function make_moons in module sklearn.datasets.samples_generator:\n", "\n", "make_moons(n_samples=100, shuffle=True, noise=None, random_state=None)\n", " Make two interleaving half circles\n", " \n", " A simple toy dataset to visualize clustering and classification\n", " algorithms. Read more in the :ref:`User Guide `.\n", " \n", " Parameters\n", " ----------\n", " n_samples : int, optional (default=100)\n", " The total number of points generated.\n", " \n", " shuffle : bool, optional (default=True)\n", " Whether to shuffle the samples.\n", " \n", " noise : double or None (default=None)\n", " Standard deviation of Gaussian noise added to the data.\n", " \n", " random_state : int, RandomState instance or None (default)\n", " Determines random number generation for dataset shuffling and noise.\n", " Pass an int for reproducible output across multiple function calls.\n", " See :term:`Glossary `.\n", " \n", " Returns\n", " -------\n", " X : array of shape [n_samples, 2]\n", " The generated samples.\n", " \n", " y : array of shape [n_samples]\n", " The integer labels (0 or 1) for class membership of each sample.\n", "\n" ] } ], "source": [ "help(make_moons)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "X, y = make_moons(n_samples=100, noise=0.15, random_state=42)\n", "\n", "sns.scatterplot(X[:,0],X[:,1], hue=y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vamos a escalar los datos:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "X = scaler.fit_transform(X)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.scatterplot(X[:,0],X[:,1], hue=y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vamos a usar un script para pintarnos las fronteras de clasificacion:" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "def plot_predictions(clf, axes):\n", " x0s = np.linspace(axes[0], axes[1], 100)\n", " x1s = np.linspace(axes[2], axes[3], 100)\n", " x0, x1 = np.meshgrid(x0s, x1s)\n", " X = np.c_[x0.ravel(), x1.ravel()]\n", " y_pred = clf.predict(X).reshape(x0.shape)\n", " y_decision = clf.decision_function(X).reshape(x0.shape)\n", " plt.contourf(x0, x1, y_pred, cmap=plt.cm.brg, alpha=0.2)\n", " plt.contourf(x0, x1, y_decision, cmap=plt.cm.brg, alpha=0.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Núcleo polinomial\n", "$K(\\mathbf{a},\\mathbf{b})=(\\mathbf{a}\\cdot \\mathbf{b} + r)^d$\n", "\n", "+ $d$ es `degree`\n", "+ $r$ es `coef0`" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "SVC(C=5, cache_size=200, class_weight=None, coef0=1,\n", " decision_function_shape='ovr', degree=3, gamma='auto_deprecated',\n", " kernel='poly', max_iter=-1, probability=False, random_state=None,\n", " shrinking=True, tol=0.001, verbose=False)" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "poly_kernel_svm=SVC(kernel='poly', degree=3, coef0=1, C=5)\n", "poly_kernel_svm.fit(X,y)" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, '$d=3, r=1, C=5$')" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_predictions(poly_kernel_svm, [-2.5,2.5,-2.5,2.5])\n", "sns.scatterplot(X[:,0],X[:,1], hue=y)\n", "plt.title('$d=3, r=1, C=5$')" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, '$d=10, r=100, C=5$')" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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s49nd7YPGr1hQSrQtlqVVDSbcEeYDq2pQFcHTe9qpLXLw9esXE2sMZntpBgZTyowTdsNKnxwRf4w1y4u4++I5PPrXZkyq4FOXz6NCMRGM5EY2qNShd08P76oq4W8WVkJCRzsWJBrWQICzyoFaakPqEr0rSqhjqNvGYPrhbfDh3PwUrdUN9NoVHNSO/aI8Z0YJuyHqE8dkVbHOdqK4TOhJycdWVvORC2uREvTuKMGG3GpmLSWE2sMw+MYCz5JCfn/gJA883ohJFXzuqgVctaCI4BEjWmY607VxD7YTL3O8bhf2VbNwLF+bVgmBfGHGCLsh6hNHMSk4lxby5af3suWolyKHmX+5eTmLFTORtvCE5hICzHYTWiw5qYSjdLB5LOztCfGDl48MjP3jcwdY8dGLcNtUEtHkiK81WVVsc90kLQqqIpB9ccKNQaRuBMZnm35R9y47gGfRIqovuinbS8oZZsTmad6JugBXqQ13jRObZ2gVxHRQVIGzxoljcQGepYX88C9H2XI0lczhCye49zc7MJXbJ9Tl1j7LgXNlCccLBOqSApzzpjZqweIx88KBjiHjGw93jfr3EwJcSwv53HN7ufqHf+GK77/KT3Y241pUcC6XazABape5MS+aa4j6WeS9sOebqJssCoWrSvhTMMh3djdz2CHxLCnMSDtxxSTwnFfMfYfaeN+j2zjgD/P68cEZerqEZl8Yk0Ud15yOEhtH0LjqB69yz693cO2PN/NEYxeO2c5Jr1O1KLgWFeBYWYxrVQnOBR4UdeQ/QDKa5PyaoWK8qrqAeHjkomLOMjuP725jx4nTcfq/e6uV1mgcs33G3OzmNDIcyPYScpK8FvZ8E3UA2zwPn318N//y4kGe3d3OJx/bwROHO3BWpR/mZa928t2Xj/Do1hN09MXY1tTDyprCQccIAbOLHCTjI7svzkSptPMPz+7jTM/Fj185ippG2Wb3siK+/KcDXPWDlBX9/14/hmtJ4YjHh7qjXFNfzsXzigfGNiyrZGmJk1hwlHocNpWdrUP3EPa09WExhD1nmKkVHEcjb9+d+SjqAEmrwvaz4snv33Kcd36kEsbwe1tdZkwlVtAlsa4o2lm+ZcVj4cV9Jwd+/83WEzx491oavSH2tvbhsKh844YlJLuj4669opgE3mB88DXokoQ+ubhyZ4mNPx7q5M3jPQNjL+w7yd+snMVcl3lEoQ7s8/Fv1yxBt6kIAQQ1AgdGz5jVAwmuW1zO/x7sHDS+bl4J0SOGpZhtRqvgONPJS2HPV1EHGK5goVVVx6xW56hz0a7o3LflKE6LymeuWICtI0q0KzpwjB5PUlvs4FBHSrR84QT//Nx+7rtzDcGoRlKXWBSB8MVHOs0QdH+cG8+r4smdpxsA15e7MGmT23xU7Co7GoYK8s7WXhaVF48o7MmETvDQxCJ4wr4Y65YX8bFL5/LLN5txWFS+fO1CHJEkYSPhKWsM1IVJbGLboiRmjCiYs8k7Yc9nUQcQIY3rllbwx/2nNwP/bn09+hkCfTYWh4lus+T2+/86MPbSgU7+dO9lCG9sIMIj2R7h2zcv446HtxJJJBECvnXzcj72i23sazsdFvhf71/NoiIrYd/YiUnh1hBfvqqeKo+Nlw93sXyWh89esYDYBEW2n0Rfgg1LKnjmrESpqxeWETmR+bj0vn0+PlBXzgfPn43UJcnOCGEj4Slr9EfCNNbuwl1bgufyK43wxmHIK2HPd1G3l9tR3Wa+umEx714zm90tfq6uL6MwAaFjI7sGrCVWHnqzadBYTNPZeLiTqwodhHtSAh3ti1NoUfjzvZdysi9KucdGX1wbJOoA33/5CD+7aQWMQ9h1TeLf1cN7q0t598JKlFiS8F7fpFP8o31xVtQU8rdXLeCBLY2YVcHnr66nRFcIjRK2OB6sLjNqhQ2L3YwplsTfHESLJQm1hqA1N5KwDFKRMH1GeOOo5I2w572oF1jo9ijc+cNNxDSdRRVuPn7ZPIqTgsCxMZJskpISx9CwvmKHBT0+2CUS7Y4S7Y7iNCkkHHFc893MKXHQ6D3tv0/qMrWLOk6kLlNJQxmi74CfW6uKue3js1JZpN3RtMvy2sttBIotxKROc4efY10hrl9WiTuspzo5GeQMRiTM2ORFVEy+izqkokv+/pl9xLSUpXuoI8AXHt8F7rELcIU6o3zk4jl4zojkmFvqZE1NIdG+of5yIcBZ7+FEgcpjb7Xw1Q1L+O67z0M95eC/94r5CO/Irp9zjoRQW5i+3T0E9voInUzPBSMEqLOcHOoK8pOXj/LF3+3mp68c5eafvMb2vhDOMnuGFm6QKYxImNGZ9hb7TBB1AMWs0OY/Labzy5ysW1CKogqEIkbNhNQ1nWRjkOc/sY5tzT4cFhNLK9yER/BzO2pd3L/jBL9447T75pNXzOO7t51HtdtGuVRGdf1MN6wuM9ubfSyocPHq4a5Bz/3nS4d59PY10GXUlTGYPkxri32miDqA3hvnpvNSJWm/cv0ivnTdYnyhOL/efgLPqmKsrtEt96g/Tu8OLysSJub1SXp3eklEhk/OUYqs/OqvzYPGHnytkQtnF1HUHsuoqCuqGDW5aCrQ4jrVhXb0YSKL4kl9Il6nSSOUVPkCg9FRI16E27DWx2LaW+wzQdQBIm1hPrNuHsuqPNitJj7xy+0Dz/3hrVZ+96G3Eds5dh/H4Vwvw3G2yCV1ia7po2ZqTgSzTcW+wINfS6IIgVtRiBzpQ4ultwE6GbRYkll2C03RGOfVFLC75fSdzMfWzUX2jD+8czI45rrR3SZO9kapLXYQbw0R7cyiq8tg2jNthf3MmuozAT0p8e/u4fKlxXz2qT2DnmvvjdLkD1NqVTMijHpfnBuXV/HMntMhhe+5oIakP0MCJ8C5pJAPP/rWQMz88moPP3/3avzj+HI6FwQP+ZmzqJCffeB8ntvdzp7WXm5ZUcVCt4PAwXPX+s9R6+Lp5m6+t7EBAIuq8Mhda6iIW4hk6u+dJ/h2HKKGE3TQDhRlezk5zbQU9pnkgjkTqUuSYQ2LaagHzaIqYyYpjZdIU5CvXlXPZfNL2Xzcy1ULSlk7q5C+fZlpAuwqsfHiwc4BUQfY29rH5kYvF44zPn4iWF1m1DIbCJA9sWEFU9ckvft8KCbBhlI315cUkOiNE2g9t/1cTSVWfvA/DQO/x5M6X396Hw/ethoMYR+ga+MeHEefYfdVHZiX1g/bqNrgNNPOxz5TRb0fvSvKF66uH5SBuqTKTZXDSjKemWzI/ruDtcLCl5bPZmXSTO+enoyVqlUtKg1dQ5N8DncFM+5nLpjrhno3nWbJJm8fJzwKjjmuEY/XNUnfyQiBlhDRwCh1ZDJEVNM5+8/a6o+gWqbdR/Oc4G3wEXn0CUzx3+G72o/nivWGqI+DjFjsQogHgRuBTinl8kzMORozVdQBooEEZW4zf7z3Mv54oIOaAjtrZxcSHKPuyWQI+2KjJiEpJoGj0EpSk0T847eyI/4Yt543i8e2nRg0fvPyWYQbM5cIZC+z4nMqfO23O2nsDnP14nKWXuzBp4PbYcrYfkE6WBHUFNlp8Z2OunnHiqrMub3ygNIKlXCli8Tla4ws03GSKbPgYeD6DM01IjPNrz4c9hIbarEViyJ455IKzlct+Hd6p3zT0V7pwLy0kKd9vWwnTuGqknGXso2HNSqEwvduO48F5S4WVbj56ftW44np47oOIcBZYcc+z42z2oliGj5sxVrr5gP3v8ne1j6CMY2nd7XxqzebafSHsRZZJ3S954pEY4D/+eBarl1aQW2xgw9fMocvXLGASJuR6WoweTJisUsp/yKEmJOJuUZiprtgAGzlNpqt8MWH36Q7GGfV7EJ+eNtKTL3xKRV2i9OE36Py7h9vTmWhAvPLXDxy+/n07uoZ49UpQkcDrCqx8d/vXJka6I4SPjl2DRZFFXiWF/PEvnb+9FoHy6s8fPLSeUQP9Q6ywIUi8IXj9EUHW+WvHOrkrovrkN5z72YZD9FAAtPBXv7P2rnoVgUlqKXcXlPcZSqXkZHcar84HZhWm6czWdQBrNVOPv6jTQPZpztP+PnWCwf41pUL6T2HkRtnYyqz8f2XGwZEHeBoV5BGf4Ryu0oiMr4vmbA3CqNlsAoQYnDylX2Wkx9vOcavt6bcOLtbetna5OOB21YT3396c1fqEo/NjBAMKjE8v8xFmdNK78HsJlhZnCasTjPRQIJERENrMgqLjUqhEbs+EaZM2IUQ9wD3AFSWV0/std6uGS/qQgFfJDEg6v1sbexBd5tQzcqkC2tNhK6NeyjfsJh4cui5ouEova9sI9qVnmgqFhP1711FQaUKWoS45uLAM62EO4J4/u4K/rCjddDxDZ1BEsO8k5PeGF+7bhH/9sdD6BKKnRb++Z3L0ZpG7llqtpvQk3rGNqLPRigC9+ICjgYibG3u4fL5pVSqzpxrCm4wvZkyYZdS3gfcB7B04cpx32cafvUUUocipwWLqgwS1ZWzCznQHmBxuZ3gOaxA2F8u1VLQjHpgCR+/9EO8cey026XMbWVxmaDL/DyuWemda8GNd+Lc922UF54FwFo0h1Xv/RWbv3k/WtsySpwW2npPW/qKSIV7nm37h5uDXDO7kA2fu4JQIonLpBJrDBAcZmPSVmjFOtfF4c4ghQ4bZRYzocO9Gf+ydNS6+PGbjfxmewsAP3n1KF98ez03zioiNMEG4TMBJdgJbhdgfPFNhGnhipnp1no/sifGf75nJf/nyT30RTQWVbj5/NsX8uhfm1m0rCZj5/E2nHZpKMFO7DtfJ6HsJrQsgnnRXGKLyygv6uJ3H1/No292UFlg5n1rK2nreYnQjSvTOrfV7MJq1VEOPXt60NeIuvshqu64lBM77uMfr7mHTzy+fyBM8MMXz0EbIXonfCIEJ1JfeCNJg8mqImsd3PCz1wZ88hfNLeY7NywjkKHY/X6UQgu/fatl0NhP/3KMmz+xbswOWDMNb4MP587Xaa1uoNeu4KA220uaNmQq3PHXwJVAqRCiBfimlPKBtOc1rPVBBBoDXLCmlJ994AJMquBkb5Qv/X4X/3jDUrSezCT19CeCeApPx5PvWH4cz/wyHMvPaGogeyiwRvi79aXoJAhF3sJpK8RpG7n36HiwWwpQWg8OGVe7D1N+wwc5Lo9SFniZlz5xPXtbgswvdeBqa6bzH35MaM47KFu/YsLntJbb+I9XjgzaaH3jeA/tkRiFGcrm7Ucih7QV1JJySurRTCe8f9nH7Hl92L50PhHTEhRrkAJnmreCM4hMRcW8PxPzDIdhrZ9GSggfC1BaZedHrx6lN5rg769fwmzFRCgw8eqDZ1rm4tAurG1bsJT10HWbne6KioHnClg+bFJIQouQ0E4MGU+HaCKIrLsktakgT7tBtOXvIqDHqKtfT6e/Ae+xH1FoL6HtZB8JPULi8nYcWx4i+tB5RFZdjO4qH3htSf3o6eemYisn+4Zu4nYEYpSYlYwJu73Qgk0X3LKqiqd2ni7XcPuFtSTPcT2a6UTP5gOsuasW65FHULe8hCxbwuxrvklzoptoIn+qip5LRKbS0CfC0oUr5S9/+MdRjzE2TEfGZFWxlttAESR98XEX9uqnv2eky9UO0dQHpcfcRdfyRE6ka5dYyygN+DD9+RsQ8ZFc8yEiy2+lKXh0xNd0+hsI791K39EuVh+fOzDe508Snn/TiJa8s9rBrkSM3pjGN57aNzBuMyv86d7LCOz0QpofEZNVxbWkkDebfTT5w7zjvFl09kV5bNsJrllYzgWVHvr2+cbdIDzfcSZ7qIv/N2LXr04PFtQQuetJjo3yHpgJLK/bsF1KuWas4wxhn2H0u1q6Vp/AvGjuoIYF9rLanMnss1sKKVXdqELBr0fwR7sYj8I2NWwc9Lt6oBn3Hh1TV/GwAu9ZWcw1P93MP92ynGBM44kdrRQ7LXzlusVYWiNEM9BQxLOiiI//fhf721NdnoSAX37oQuarZsJd0Qll7c4EaufGcD9+JcQHBwMkPrWFw9HM3iFON8Yr7Dm5eWqIeubpF3RLWQ++qxUcl2/IGREfjkjczwkmHps/5G6jHpqWbERu2Ydlf8pVE7r0lgH3jBSp/q9f+v1uLq8v5Z2rqumLJvCYFPwZEHVCOMYYAAAgAElEQVTVrNAZTQyIOqRcav/xUgP/cc1iQ9SHIR5MQEENdB06PSgUMBmdrMaLUWkoz+kvopRoeYiu1Sfwv2cONTd/KKdFPdPU1a/HccsG4jc5OV63CdvLP6Pn2VcA0HsT3LC8EoC/NHTzf5/dz54TvSR6M5OZKgRow8T8x5NJJMaO6XA0ve4juf7fwHS67EPysi/QmzT86+Ml5yx2w1rPHP1WeuOCo9hXzRoc1TLDKC+sh0vraarYSPvsBhxbnib6UCP+q2/l67csYmV1AZuPerloTjHvXF5F397MhDlqcZ1qt21Ioa9PXjoPkeHyxPlC6OBReot17B9/FVNfG3iqCZCgI9I69osNgBwUdoP08Tb4cG5+ioSym67VERyXrM76hmiuUFe/ns6yWsIlWzm+cxO1f2zj6L51XHvXdVxzcREiksSXgQ3TM4kc6eOxD13I73e2crwnzPvPr6ESNa/6xmaaaOMx3th9gPmLN5CMNiPluc+qzidyStgNaz19+q3044aVPiJDrfen8H7n+CDfeyaJhzQSO73cWlaEUlVC9GSMUA6UDM59JFrSuKuZDDkl7AaTpz+EMZHYZFjp42SI9f5yG13NI4dGpoPUIdgx8VyDmYbwd2R7CXlBzgi7kWU6efrruDTW7sJdW5LzES+5xJnWe5c7FTkTefQywmuvPCfWu8HoeDcfwOzbQcesIEZf08mTM8IORpbpROm30qPKdkLLvDguWU2NYaVPigHrff5WOo7+iZLXTtDVfNU5sd4NhjLwXk5soueSZE4kyk1nckrYDcZP/wdBrT+AssiDdfGFhpWeJv3We+fyBnqLNlO3fxMnNzIhcbe6zNg8FuLhxLBNsw2GMiDqRTvQ6014Ljf2hdIlJ+LYjU3TyVFaoWJ1mDAvXjytPwiKUDEplmwvY4DywnqSS2pxF0xgg1OAe0khTQUKPz7cxm6TRsF5xSiqEas+HkorVIprXVguv3Rav5dzBcNin6bozS1EvQc4vjrIdO0towgTNY4abPEoxPqQhfOI60lUdILJCN3RTnSZveiRTncv7l3b8TbUjOlvd1Y7eWxfGz/9yzEAHtt2gncsr+JLb5tD6KgR1mgwteSExW4wfs7MJD06txFRUTFtLZxaZy2u57+O+edXYH74Jiz//XZc0T7sj9xKyV9+yHz3AhSRHdvDXlZL25z4QKZq18Y9ox6vllh58PXGQWPP7W1HuM3nbpEGBiOQdYs9190wQhE46lwoBSlXgd4XJ9IURM9Cs+F8in4xqTYsfScRR186PRjqgjd+BotvQHnz55hUMyXrPkFXpH3kic4RmYiWEQKEUTZgXMhIr9HXNIMYFvsYuJcW8uNdzVzxg1e54gev8r1tTbiXju+D7Sy14aj34JjvwebJjA959lzwrFk07eu9mBQzwt8y9IneFnCWAaAcfhGXsA49ZgrprzNTvaaS0gp1xON0b4yPrZs7aOzG5VXoEyypbGCQCbJusecyNreZfd1Bfv/W6RoVT+1u4+qFZawosBDpHflD615YwOudvTzw9EGcFhNfvmYhFU6VSHv6SSpnltrNdcyqnUprGTZhJgl0aX4CMS+xRBBZeyGoFkie8XdcejMcfC71c9liYjIzxbjSptCBPD5y381ga4h3L67igtlFvHS4k4vqillV4Sawf+IVKg0M0iWrFnuuJyVZXGZeb+oZMr75uBera2Tfqc1j4WAwwlee3MvhjiA7Tvi54+GtyDLbkCgJ1azgrnDgKE5ZpqO1SFMj3sldSJYwKVbm2mvwPHEvlh+twf7AdczydVJkLUUi6Uz40O5+FmovhrJFyOu+DfYSOP4XcJah3fAduhO5IYzH7R20J3bh3PzUoM5TA0gIHPRT40vyiXmVLIkq9O7xZcVlN53or2vUntjFcbuRdZopsm6x57J/PRZIcOWCUh55vWnQ+NsXlo/atchUaOG3W48NGkvqklcburiqwEn4VH9Se7WDeKGFX+9uo6bIztUXVRAIxbGbVBJdUSItoSFzC7cDSL9O+FRQYi3B9Md/gNbtqYGwF9Pv7qb03r/ii3Xjj3mJmF2U3PTvqAh0kw0nCnzyNZJmO+2xTuLa0L/BVHOmv11ueZOS1/pGTF6KBRPEgjlyl5Hj9O8ZHa/bdaqu0dpp7V7MJbIu7LlMLJhg/uxCPnnZPB58vREp4c631bK02Elf+yhlXRM6c4qdQ4Zri50k/akqdTa3mQ4r3P7TzQMt0eZtaeRbtyzj7oe28s0blnBptZtIa0rYep59BbNvB1sXNWJmerz5HcKCOPH64MFkHBHqQggVKZPEEkHaEsGhL87B2k919evxUkRv0a5JJS8ZnKZr4x7mcBzfsiCeRYuovuimbC8przA2T8cgcNDPe+eU8dKnL2XjvZdy5/xKAvtHr9Ud7oxw99tqmVVgGxi7sK6IxcVOYqGUNaeU2vjBK0cG9bk81h0iENUoc1n5pxcOYC63DYQ3Rr1P03FR47RKtY7IBLJm7eBB1Yx0liJlZhpETzUl9ecjykvxVBndfNLF4vFiW1CHraQ620vJO7Jmsee6f30ACaETITgxfpeAnpRED/fx27svpD0Yw2ZWKVBUggfP8BcL0IbxvyZ1iaoIEklJOKrh2PoKcftr6BdOv1Tr7ng3nuu/jbmvHU7uBlsh2k3fpzuemSYW2USGjaSjTJEsc2d7CXlHVl0xuexfT5dYMEFsVw9us4KUkoA2WMSlN8a9l8/n7v/ZNjBWXWinzG2l1R+hzG3FKsFaoRKuLCd2+fQrG6AlYzRG26i87T6swoQuoCvhpy82Tb7URyAVlWQ0fjDIXQwf+zkmmRheACK9ceoKXTxxz8X85q0WaortXLO0gq88vps1dUX8y03L6NnSQfEUrzfTxLUwzVrT2AcaZBTVomCrdmLyWNBiGnp7ZNTw3GyQuuspyfYy8hJD2DOAesoq17WJhbaFm4I4bSr3LpwFUqL5Evzg5vPQY0m040GCHWGKjIy8nCVXw09Vs4JrWRHffP4ALx/uZG6pk3+/dQUFJkHUm1u70rJkcm4YgUKRvRyPsKLJJN1aH9FEX4ZXNzpm1U6VtRwbClIx4dP66I7mRsimIexpYHGYsC3w0B1NYFIEBapKpKEXLT7+2/RENElvW/ZD+gwmhnA7YArc7BaHCUuJDXRJpDMy4h3gmdiqHXz7z4fYeKgTgKNdIT74yDZe/OS6nBP2ySAQzHUvwLr1QZTdvwVPNc4N/0q7tZi+2NC8k3OBIkzMcdRi+d2HoG0HqBZKr/46poVXczLSNiVrGA1D2CeJEGBfVMAdv9hKozcMwKqaAn7yrlX4d+WmJWeQRQQ4y+3objNKQid2MoIWGz0yyDHbidcqeOCNRgptZj62bi7yRIhoz+jiLFxmNjV0DxoLxjT64hoIMtqoe7KoES9Mcs/UYyvDsus3KFt+lBoIdmB65BYqPv36sMKuCBMOaxFJPUEknpmEtyJrKaZN30uJOkAyjvrnb+JZeB0dp0J5s0l2hF3Tpv3GqbPMzuO72wZEHWBnSy/bWv0s91hGTWAyyE9shRZMsxxgVpCRJImWEPGwhhBQsKKYJ/af5NlX25lT4uBL6xeiNoWIjeD3tjhNdFngPfe/MTD2zJ52XvjUOqK+2KjirEeTLKp0s63pdPSRSRG4rSb6ckDU+0kl200cj7Cg7nty8KAWRXQdxuy0k0ieLttRZC2jTDhQ9j+F9FSRnHc5TaHmQcdMBjsqSuu2oU90N2AuKCSuhYc+N4UYceyTRLEoHO0e6kI51hPCZB25WNSEzhHsBLcrI3MZZJat7j1Y27YMlPO1FVvxlVr4wK+3c8UP/sJnntuLaaEHs92Eo8rBr3a18N2XDnPwZIAX93Xw3gffxDpn5P+tucTG/a83DhoLxjS2HPNiLxi9oJzWHubbNy2j0pPKo7CaFP755mUkOnOjmXbXxtTfbqt7D41q84SjveLoyJL5Q5/wVJPUT39RWkxOyuMa5v9ah/rKv2J6+rNYf/luah2z070EQmjo864cPCgElC8moWU/M9wQ9kkS88V5z6rBiRVCwPVLKoj4p78f02Bk6urXY15aT9dtESx9jxB59AnUChsf+dV2Wnwp8dzT2suXn9yDpdoBBWb+sGOw37U7GKcnmhixw5LQJW7r0Btqp9WEHKP+TDykoTSH+O1da/nzZy7jpXsv40KHg0hrdq3IM3sJtF/VMelkO2/ci7b+G+AqHxjT13yYsElFP8MFUmQuwPTK/wP9DLdIdwOq9xhmNb0EM3+sm8TbPoZc/A4QCjhKSP7Nf9OTDCFzIBTW8LFPklgowewqO//xrvP4+eZjWEwKX7h6IdZejcg4NrgMpjd19euhHlpNz1B26ADxeIzeyOAaMVsbfZicZhKhBJUFNk72DbbkXFYTMX14kY52RvjkZfN4fu9JIomUMNWVOFg1q4DenWPv4cT6EsT2pFwxueIU1JtbcLna8S5NL9lOS8Zo0XzM/uhLqGEf2DzEBbQHB9dnEjC4cmg/yRhCpFdGW8okx4PHKF//NZzX/hO61OnWeukzomKmP8EjfZxfYuPnt5wHOsjuGBG/EeEyk7CVVGOt6MOpSpwWlVD8tHW4oroALaKhd0T4xoYlvP/BN4lpqS/991xQgxpODiopcSZaXMfcGuaP917Kqw1deGxm1tQUEj48cung6YC7QEOUl6adbFdmLUHZ/D3E7t+BFsWy5Gbq3v4PHAscHjjGnwxSsO6zmBo3nX6hqwK9fCnxwKG0zg+Q1BO0R1rHPjALGMKeJmFvFLzZ96lNDwQuWwlWYSaiRwjHcqMkb0bYvIMfvXsVn//DHnojCWYX2/mPv1mBdixELJSgwKby0mcu41BHgFmFdpyaJHRk9LjriDeG6IlxaaEdPS7xj8NSnw6k20/AanZh6z6Ksu2hgTFl3x8wL7gax6yFhGOpO5VovA9/YRWFH34RddvDSM8skhfcSUsOhCOeawxhN5gSVMXCXNc8TPueQm3Zirb4HcRmr6EpeAyZC/F3aZLYc4SS4kU887GL0aTEpEO8MThQ9C3aFSXaFaXWbiLZ2UdwnMlsUkLYlx97NumEOJ6JxeREaXxxyLjp2KtYZ68kzOlooI5IOz0mO+7LP40mkwSCR5Ay/12lhrAbTAmzbFVYnvg0omkzAKYDz6Bc8hmKV9+GN3Iyy6vLDL3H+zCZRo+ISkS0KVpNbpKJfgKxRIDk/KtOx7GfQqu/hugwYYYJLUKPlhsRQVNFRqJihBDXCyEOCSGOCCG+mok5cw2hCJzVDpxLCnHMd4/aQclgKHahDoh6P8rW+ylUjXBOg4kR18JECqvRL/07MNlANaOv/Qix2RdkLAFpupO2xS6EUIGfANcALcBWIcTTUsr96c6dKwhFULCimAe3NfHsnnZmFzn4xxuWYu+IjpkFaHAKMYwla7LlhRvGYGyEP7PRIidCTZSuvIXC8+8AoC8ZoitwbIxXzRwyYbFfCByRUh6TUsaBx4BbMjBvzuCsdPDI9mYeeK2Rjr4Y25p8vO/BN7HWTYG1GRimu9A0JJiMoJ/33kFjySu/hleb2sJN+YZQBK5qJ65lhTgWFoyZvJQNvA0+Ik+8gLD8mR1zmrCX1WZgVkl35CRHgg0cCTbQGWnLifjxXCETPvZq4MQZv7cAbzv7ICHEPcA9AJUlVRk47dShu008v2+wHzgY02jtjVJgVsZVmGlS5z0jAWO60x5tw3LlF7GuuA3RtgM5/yoCVju9ORouNh0QAgqWF/Hgtmb+sLOVCo+Nb71jKaVWhWhnbkRqdW3cg+PoM5xcfQJxyTLmTJPuX9OdTFjsw6XODbm/llLeJ6VcI6VcU+QpysBpp5C4Tm3x0BCtUpcFPWlYCeNBSp3G4DGOO+20LFnPURGizRD1tHBU2Pn9vnYe2NKIL5zg4MkAdz68FUu1c/hP5RTjbfAxh+O41plw3LJh2rR0zAcyIewtwJnFF2qAvAoU1U4lmBTYT2+YfvSSOahBjRkQOZVR4lqIYLQbLWnsTaSL7jLzwll3kvGkzsGOAGZbbgS8ycj0TqiarmTiv78VqBdCzAVagfcBt2dg3pwhHtawtUR47uOX0BWOU2g3IwIJQseNvpcG2UOJ6ywoc3Lw5OD3YU2hnWRndvcuvA0+HFtfod2+C1+VHaNVzNSStrBLKTUhxL3AHwEVeFBKuS/tleUYUX+M6M4YNlUQ1uWU1bQW9gLwt0/NyQymFbGTYb5w9UK2N/tp70351D/4tlrscUlogt28MknXxj3YTrxMY+0u7Ktm4Vi+dtr1653uZOR+TUr5PPB8JubKdfQxKutlCluRlZob6kBU4Ur4CIndU3Jeg/HT6W8gfmAXPQ02wr5KGCXYQyhgcZjRYsmMbbZrcR31WIDf3nUhQS2J3aJCX4Lw0exZ6/2i7l12AM+iRVRfdFPW1pJvxPvGX1IiNxxxBoOwFVnxlZr51GPb6QzEqCmy8/M7rsSmHJnyvo7p4rAWU6DY0JD44j1541tvathIYn8Dji0qNvNqwmuvpKR++KAAe5UDpcLGntZe5ta4cOuCUEPviAXAJkIskCC2uwchIJQjKQG1y9z0LZpriHoWMYQ9DSxOE8iUDz6TmGucfPKhN+kKpkSwxRfhs4/t58G7FkJi+ljuNc46nC27ML31CNJVRdGVX6Yl6Sc8zbMD+0W94o05JEpWY7/xSkaq7u0ostJk1vnIDzeRPFWi94Nvq+XDy6oJHcvcHk0mviQyhQwbe0/Zxmi0MQmsbjMFq0poKlBoKVYpWFWSEvkMkUAOiHo/R7tCaNEEnf6GjJ3nXOK0FuNq3o7piY9D0xbEvscxP3At1daKbC8tI6wNrCBaexUlly4Z9ThRYeMfn9s/IOoAv3izGSUHE4kygRpJuQvSreBoMJiJuGHAsNgnjFDAVu/hXfe/QUdfSnxrix38+q61xHdkpqyqGSh3W+kMnBb3+nIXWnMHfds3ElnanPMxwYWKDXXbg4MHo72Ijn1YPJ6s94TMBGrAjyxcNeoxiknBGxza7KG/Lns+kolCXwZDkaUl4z7WsNgniKvMzu93tg6IOkBzT5iNDV04i20ZOUeiJcR/334+NUWpG/z5ZU5+/J5VhF49ydrAioyc41yjAdJROvQJRzFJfeZUONT9cd51fs2gsboSB9Yccp1kAm+Dj+hDDxP1Ps1W956srKHMVslC10IWWmaxwF2Pw1yQlXXkAobFPkEUVeFk39ANwJOBKEqlc+B3oQpcZXYwCWI9sQn54aO+OC4dfvX+C5AmBZHQ0ZpChFp9SHeY6fB93BP3UXj111PdaxIp61zWrSPuKiUZnDnFmsJtYT62tpYKt5UX9p9kSYWbT18+n/jh6bUJPhreV/dRU9WOeu8i7JbZdDvjlHjmTOkaym2VFB/ZhPrSN1M9Th3FzL7zSRpNGjFtenc1m6gbBmawsDsrHShlNoSApDdGuC00rg2okDfK7Wtm85vtJwaOVxXBO1fMInwo9WG1us1YF3j45bYTnOyLcsfaWkoTEG4af0GvaG8cegffwift478VyzaJZIQ21UbVp15DnNiG9FSS8FRxItyc7aVNKVKX+Pf0sKHMw3XXFqPEdcJ7feesvtBU42/qY+2H52M59gbq/lfRay5AW/gZGsNNJJJT544pNHlQ//wNBlLBwz2YnvsCpbd8n9ZpLuwwMTcMzFBhdy3w8L9tPr731FvENZ27L5rDHedV07vPN+ZrtVgSVzDJo3dfyE82HUNVBJ+9Yj4mb2ygibVtgYdb73+DrlM+8qd2tfHQnWuoK7AQ6U2/tbDJG4ZpkO8RiPsIxP1Yy2aR1DW04NFsLyk7SAh1RqAz2wvJPHUrHdje+ifEgScAUNp3Yml9i6q/+RnN4aYpWYNAQKyXIfU9uhuwKDOzb0J27ulNJuLe7NyKmmwqXqHzrecP0BfRiCZ0/mvTMXZ0BsZd8jTSEqKsO8E/X7qAb108H09blEh7qkOLxWHiYGdgQNT7+flrxxDF1rTXf+I4JA4dp6lhY9pzTQ2SWCKINoXWm8HUUVyWRBx8avBg2w5sUygtEolu84CtcNC4vvA6gnp+5E1MlNx31mYYm9vCKw1dQ8ZfPNiByT3+b/dYIEGoMUioKUg8dNp/LqXENkx7NIuqINIMNi5bv4Lo7Kso2beE8B930Lj50WkT/miQfYQqcFY5sM9146y0I9KoANm/WarHesBRPPhJ1YxUptYZ0B7rQvvgH2DWanBVol/xFbSr/x5vdHrfJsX7vBN2w8AMdMUkwhqrawqHjF8wuxA9kkx//kiSOYV2FpS7ONKZ8qmbFMHnr6on0Zp+38Wy9SvwNtQwd7OHWO9efGylczkzuhaHWbVTaClEIPAneonngU8105isKq5lhTz8ZhPbT/i5bH4p71lZTd/eHvQJ1JXpL+5lCx5I1VhP1LHyun9FfeKegSyp5OVfwq9NbZJSKO6n0eyi5rYHsOpJaHwN0XuCGlcNJ8LNM6KB9ZnMOGGPhRIsmFPEratm8cTOVHXhdfNLuG5hOf6dmYlDDx/u5ZHbL+DNZh/tgSjXL6lAdEaJhDIT5ldSX4SXW5h9SKUw0ktmm45NLwqtpVToJtT//S4iGaNo3Wfx2ivojo79V3Fai3ELKwkh8UW70WX+hmFa61z87eO72daU2kd6q9lPQ1eQL6+dO+4qpWcW93LXluC4fAPWwkq8tgqKPv1XOLkbyhYRVARdkZZzeTnDYlYsmE/uRfzuLoSUKIC68v1UXXYvbeGpX0+6TCYapp8ZJ+wAgQN+/vb8Oj5/VT26LhGRJIFxbJyOl0QkiX+nl1UFFi4o8BDe5z8nxcNmeuVHRaiUq25M962DZAIAU8OfKPnoS/SqtlGiMgR1rnnYjr+Gafdv0UvqKbn0szTFThJL5Gk6vF0dEPV+Xtx3kq+tXziul49W3Ksr2kG3UDAXV6DFO7L2BVlq8qD+6aOD6isou36N64ovZmU9mWAybhiYgT52SIWghY4FCOzwEtrVQ/Bw7zkJP4v0xgl2R8+JqJfUF9HIXIKvaYSfemEabaZmDoe1GGX/UwOiDoCUqFsfwGUduUtXga0M+75nMD3zt9D0GspbD2N+5GZq8qTcwXAoIrXPcyYum2lCjWJmzwXzCMW9pNSJa6Gs3vUoKBAdprGHlhg6ludkTdhlSVnWImPyhbL1K4he9Ukq976Nwt82zrjNVF1qw2a3SkcpyVEUq1CxoW5/aPBgbwtqxI8ihm585wPJ7hj3Xjl/0NjXr1tMsnN8+z7ToQaMXw+jX3DX4MGyxcTV6fc/TccNAzPUFZNPlNQXQf3dhJ99hVV7drOrohlmyEZqOOZDX3A1FNaB/1TMtKOE5Jq7CYZGzm5NSh3sxeA/K1nK7EBGe87hirNHuCXEzfNLueZT5Rw4GWBFtQdTr0a4efSkOW+DD+fmp1AL97JtVgJzDidQ+CIdeNZ8EFthLer+p9ArV6Bd+DFaI9MzKW6ybhgwhD1vmE5ZqUKoeGylqKgE04xiaQqfoPaup1Dbd4EWR5+9lpZoO7ocOcLJmwzgvPb/Yvqfv4FTdWv0xTcSUQWS/I2eCB0NoJgUzrOrJPb3Eh/DRdi1cQ+Oo8+kol8uWcaCCRSeUxUzxdZSnMJCRCbwxr2TqsVvVm2UWkqwKRYiepzuWDfaCLHpEklj4AjO2vNwz1lLVOr0Bo8gR3kv5CLpWutgCHteceI4yC37aIKcrf5oM7uptVWhbn0IpbcFbc3d9LpmcTIyuf7ncS3EkcAhrEWlCATRwKExXxOJ99LpKKPs028gmt9AFs8l5iqndYoyJbOJrunEAqN/efVb6ZbCvXTdZsexfMOEwmlNqpW5jjmY/vdfUBo34Zh1PgXX/hONsfYJfYlbTU7qrBWYnvsyou0t7LUX47n+2xyPtJBIjuxCCsV6mO4Br+lY65ADwh739mEp8WR7GdOesvUr6NoIZTuCNAd20NjRkZO9JmtsVZgf3ACBkwCY9v2Bgvf9it7CUiIjNuAQVNqr8KguSMZIqCptsU5iidNuhDN/Hg++WBf+uBdr1Xy0ZAxtFNfNTOJsK33OJAyECms5lqc/C8f/AoA49DzmnmNUve8XNGnHxz1PpbUM82N3QFfqy1ocfhFzxEfFLd+jJXxiwuuaSWRV2GVJGcI7NAvUYHKUrV+Bt7aGuZufolLtyzl/u1m1o3Q3DIh6P6bXfkjRzd8lwvDCPsteTcGO36C8/iOQEnPxPOru+D1Hk40k9clHPEipE40bG/hwOvHIYn8N39UKjssnZqWfiV2xDoj6AF0HJ1yq2CLFgKgPcOLN1Px5SibcMJADFrtBZimpL6Kr+QIqeTnnioVJdDANU7PebB/Rs60IFVdSR9nyw9ODPcdQX/0OxZd+iq7IzI3jzwT9gh5LbCKwNIK4ZFlabjybxZOKLHJVQPBUkpijGISCPsEyA1JRweqB2Blfvu7KUSOe8oF03TBgCHveEug1kTh0nFaeyZmmwloyhlawAHP5UujcnxpUVLQrv4pPG95yNqlW8DUOGVdO7sUqx1/sRCAotldQqLqQSHq0AP406oh00I6jy4S3wTdiE+tcp9/t0rjg6EAmaTquuxpnHc7OBkwnX0a+4z8Qr/8E1v8DRHzIglp0kdo4H+9mZlfCR+XNP8D0h3tSuQomG9rNP6JTm949c0ciU9Y65IiwG372zFK2fgUnN0LJPo2WwC5kZzeWyy/NCX/7iUgLde//FeqJvyJ6W9EXv4MuPUgsNkxiCZDQIlCxFBQ11UDhFMlFGwiK8Uc71LnmY9/6EMrW+8Fko/LKr+KYfxltk0h9t5fV0jang4h/EzWv9dHVfBVl6yfe2cpRZMVkVQn7Y2jRqYvc6LfSE4lNdK2O4LhkNTVpbra7bCU4G99MJX0B4sJ74OYfwYPXQdiLAKxLb2H2+v9Dc6hxXHP2xrwopXWU3vtXRMSPtBfSFY6cVwoAACAASURBVPcSjGVOAHONTFjrAEJmob350oUr5S9/+MfTi/B2GcJ+Duj/APsSm4hn4DY7k9gsHlTFQiTmGzU0EaDIWkp5Xw+mF74CgXb0Fe8hfvnnOdZ3GMnY71+HtYjZ7UcxPfnJQePaR//MURGaVBgeQKe/gfhfNuNssGHzrSa89spxWe8mq4prSSGbGr0c7gxy8/IqChOS0PGJbQBPhn4rvfmUlZ6pL/zZ9ho8v/vY6TuxdZ9L3Wntf3LQcYmPvsRR+ia8NyIQ4/pfT1f6rfWxhP2Cqg3bpZRrxpovJyx2g3NDKnnpVoIbF1Cw45mcipaZyKalL9ZNzF1E2e2PYlLM9CVDeANHxv1Btys2TAefGzIujr6CbcnVBCcp7OWF9XiXBCi29OFoUBlvGox9gYdP/X4nu1pSdykPbmnkR+9ZxYoSKyHvuakf3h/CmFB2Z8xKPxMdCVbX6QFX+dANVED0tqAWlU5Y2PNZ1PvJlLUOM7RWzEyjv/TAnJM3YnkmlJXaMjazh2p7NbPtNbitwzS5HoNw3EdTuImjwSN0RUZPQDqbmEyQnH3hkHG9+nziWnjCazmTZJkbAuMvHCYUQUjqA6Lezw9eOYIszUwz9LPpefYVbC//jON1m4jf5MRxy4aM37l5tQDa+m+kXGYAjZuQS29J/eyphjmXgqcGOWtl2n/zfCOTvvV+csZiN/zs55ZsWu/F1lLKwmFMGz8PsQDOt91DcO4ltITGnxD0/9s78/i4yvPef99zzqzSaJcsyZIlg43ANmYNi2PCDk7CkoUkUEJIyA1Z2qa56c1Ncsm9TT9pe5tS0qYhDaUJCZ9cqBNIgEChCRg7GDCJzWYbjJFXSZZsyaORNJr9zHnvH+PRYsnWNqNzZvR+/7Le2R4deX7zzPM+7+/RNTcV7ipcQjCYjp2k530iw/Eg5sob0dqfRRzYDEJgnXULiaolJHMwWLvTc5SweIKmlw5MXW8XYE2SfFqTLc6Cvg07KD2yBzFmzyKubaf/8jT+FefkrRQXTw3R56ul5ksvo+3ZiKxsRdSvRrSsQYuF4PBO5NWXk5AmOCz7NnQvjZ5FeIWO1AwGzCH6YoenfmAOyWW2Dg6psUPh19ldPh334hL0EgMrYWF2R4kPzX2+aT7Ifi3v17YTXZPGtWJ53t7wmtBZ5luC618vHrf5aX78QTqqFhFLTr5pOha/q5xmVzXa5u+hDXVjnnc7kYYVM/5gaPTW4xMuEBrhdJTD8Z6cDWA49MqTpHbvR99bTY113knr7WWrKrnzV2+wq2c007/no6s5T7iJHJ3dCMHj91OMygDmmFGM81V+04SO112GmU5S4Sqn+rX1aFt+OHJ7+tq/4/CpF0+7I0kgcLtKMNOJOZ1ZOFm8pwaW437kDjj0KmgG6bX/naEzPzSrjfWZMt3aehZVY59HXF4dT1sFX3tiB3/c38+ptaX800dXU6IJ4gPOm7mYNQ7zPrWJ8o0vs3dgZ96yd6+7DLF34zhRBzBef4jSa75FjKmFfbG3HuP+yyGW8RM39v+e0g/fR0n9qUQS0zPtSltJOqP5M4NafNH1BKtfI1b5Jgc6nqLppc4TZu/RPUP8+OZz+d3uXt7pHeYjqxtZhEZk3/RKOsH2EFbHqOjosSDe7pdz1rY4FyyZJprI/J3KvY1of7hv3O36pr+nuu15BqYx2bvSU0OtqwIOvQ6VrcRKSumKduZ0GlK5pwbjlfsyog5gmegv3E3pGdeha668fJgcT66zdXCYsBdqOca9uIRv/GYnf9yfEZm9fcN8+ufbePyzFzlS2LNUXXcZodcbaDrUg+ud1zkS3EBsRUdOs3cznYTK1gnrVtUpmNMw3HIZPkTvOyOinkX/479T8aF/dpQnSPXyc2H5uRx65UmCgV243z5A7OFLJmTvZjzNwOtBLq8u4erTyogdThCJTs/HPNvVYtb24z+WkctGLx1tR/GvmN2GqK65KPPUIIBwMnSSASUzRFoTPtBJRRHT2Nrzucupi0Ywfn7tiFGbftbNNF7yZQ7l0E7AK3S0rq0T1kXv2xh1LXkV9nzU1rM4RtgL2V7ACLjYsm/8H6k/kiRhQ5lrplSe0wbntBF6vYHVu/9IzD/Ikdr2nGV8STNCsmYZeutaxIEXM4tli0lf9HkGh/dO+XhppcFXPnHdV4VTB9ktvuh6ek9vJ1n5Igc6nmLJxl30714zwYFzOv/bsz7oAP6+AyNdLWLNShK1S0ZuK2N2c28D7koa9TK0Lf+KMBPUXvRF+jwB+hNzfy/GZBLXKZch9m0aWbPOupmh9NQfxzV6GcZvPz8i6gDam+spueSrgCBXdfqoNClfdjV617Zx67LxHFLx/Jdi8pGtg4OEvZAxYyZnNATG1Ux9Lh2vruHMKvtErNK6zD8Gct+x0BE9SNP138OTiEIqSrqsnq5497Q6W0wrSaq0GaP5QkTnHzKLhpf0FXcRSjn3BGJdxXK4YTkH2zfQ09zOkvBmRHjmmbBsHO2U6Wg7ilFdhn/VZTn54BVCo8FdjfGjtZDKuCUaOx6h9s6NDOmeWff3Z+mJH8Z7w/cxtj+K3rGF9PKrSZ52DX3T+EDXhQaRST5cklGEEORqb3Ao3kfN2Z9ABPegvfVr8JaTvuZvGJCJGXVezZTkUDBvog4O2jwFRjL2QivHeAIuks1+Pv3zbfSGE5S4de756GpOS+vEenP0tTbPZDffkr6XCJ+p5eWkqiYMhBAz/nqray6W+FtwhQ4ihnqQLRdzONnPUNL5JxBLPFUELIGuGRyOH+bw4N459WTn8m9S4q2h+d3N6M99e9y6PPtWetZ+nlA0Fz48goC3Bq8wiFkJhqe5J1LpW8Si7U+ib75ndLG8ifjtT7B3eE8O4hpFEwa13kUEdD+WTBNMDzEYP5rT1xjLTDdMx1KQm6eFWo5JhFN4umM8+ukLSSLxaIJUT7RgRB0yG6pBLsO/FeS2V4mGnuFQ2zs59ZmxpDmrb9BpK8X+4T24vD50/ykkhqd/OMlOaryLqO7vwnj225AcJvCez9G06gYO5qDFMhdIaSHHHirKrnsCWDlL+CTheB8zHRE+EOul4txb8fgq0d96DKu2jfQlf8mhxJEcxTWKJU2OxA6R+2c+MfnM1mGOwi6E+BjwbeAM4AIp5baTP6J4SQwkSQxkshHnbpeenGyvu3fDMrxvbXScz0wqHTvpgAUnoQmDKtwYv7gNjomk/vx38JY34a9fOtI5YieZ0YJXQaB+1ErZEyB9wX8jbPPQEYlkf3gPgWVrCCy7lKSQhGIH56VLJZ/kc8N0LHPN2HcCHwH+LQexjFCo3THFQu2VZxJsb6J1azOhzs1EQ89wcE1uu2WKHa87gLZ304ioZzF2PkpJ4//GGWcvJZ2xQzTf8V9o+zYhUnGstms5lOjNfLuyndll+04n39k6zFHYpZS7AISYvn3qlM9ZoOWYYmPsSdXAWxvpCr9O164O27N3TRjUe+sp1bwgIJyO5fSgUa4w0wmsutPRj1u36laSctAMzrg5THt4N77FZyCERizcXhBlrkIk3xumY1FeMYqTUnvlmSTfexuth69De8m0xWdmLK2lp1Cx4f/i+sF5uH5wPhUv3ktLyVLb4jkRSTNKsrIZ6/QPji7WnIZ5/mcYTORvY262xJIDRBP9StTzxHyVYLJMmbELIZ4D6ie56S4p5RPTfSEhxJ3AnQD1dYunvL8qxziH431mzK4DdJ3503nP3v2eSlz7NyPeeSqzICXam+vxnH4dnorKGc89zTcdkYM0XvUt/Ff9FSKdJOnycijW4bhvF4r5Yb6ydZiGsEspr8rFC0kp7wfuh0y740nvq8oxjqT2yjPhyjPp27CDyuefpG+ea+8e3Y9x4KUJ61rHK7hrbnKcsFsyTVe0g4zjCchEYWTDPnc5VXqmWyZkRYgmnHteoBCYzxJMFlWKUcyYrA1w/c4LqfjlAQ68+DC9A+15f92YGcZse/+EdWv5VSRSTt5ikwVT4qjz1rMkHKbiia9Q8fiXaQ4dZZG3we6wCpb5LsFkmZOwCyE+LIToAi4G/lMIMfHU0RxIBtUEeadSvbwS72c+Tdp1HbWP+hj6/Ya8197jySHiDSuxLv4zMDzgLiF92TeIltcrj+8cYGgeKk2J8dDHoGsbHHoNY/2tlCfiuPT8eMUXM3M5iDRX5toV8xjwWI5iGf/cqhxTEFRddxnB9rNoevEJEjt3cuDSh/NqEdsxvJ/qcz9OxXvuQCIZMIcJzsC+t1jRhI6he0mZ0Vl/O/B7K9G2/WLCuvHGw/gv/iyD0e65hrngsEPUwWEnTydDbaI6n6wNcPSpTZz63B/Yy1Z6V+X2+HsWieRorAfn9ZVk0IROmbcGXeiEk4MkzXz7Twoa/YspTUtEcC9y0UqC5hDBWZh4pdNJrKqlE77GW1VLSVuF4nrkDOwqwWRxdI1dVtfaHYJiBsi2s/D4G1naE7A7FFvwugIsKzmVhtceof75e1iaSFPvazzh/XXNhd9TNacyR52vnrI3f43rR2sxfnk7rnsvoDbUQ6mnasbPFUn0Y512DdS2jS5WnUJ6xY0Mx53vy+MU7CzBZHF8xq4oLIJDpRhHB0m98w5cZL8NQT4p9VRTJjykBISSQZq9jbh+fPWIK6Hx9uOU3/wQgxU1E0b5NfgWU5YyEftexGo4h3iglc7IwRmXUcr1UvQX/2l0QVroT3+N2tsfn7bh1lgORA7SfMvDGMO9IC3SZQ10xjpx2jg7p+IEUYcCEXZVjikMqpdX0texDO/+TobSzvKZyTUtpafg27cZ/Y2HkWXNVF3+DRjsmWA1a2z5IRXXfZcYo8Je4a2jfP8W9Ke/BoAO6O/5HIsu+BSHYzOrY4t0MjPQYiyRPjQxu7d2Kh1j3/AedM2NAMzw9LudNGEQ8NaAEIRjfQ6xJZh/7BZ1cHgpBlQ5ptDI10lVXXNPWbYQCKq99ZxSeiqtJa2UevLzBgt4a/C9uwH9qa9C1zbE249hPLAOvWyStkCXb0KuW2UE0J//23Fr2rafENBLZhxLUtPGl04Aa9VNhKcxzOJkpK0k5gzq6gF3Jcv8S2h87Zc0bv0PlnmbKHPPvBxUyNhdVx9LQWTsoLL2QmLsSdUV0Y28Ocfna/AtJpBKou19GavxbGKBFroiHRPKFi2BU/FtfRDt1Z+BtwzvVX9N/6JT6Y3n1pC1QnjRX3tw/GIshBzoQCy9FPb/PrOmGZiXfYP+1Pi5rhoapI4TXmkhZuEh0504QuufrEd/4R60nu2kl19D6rxPcjR8Ys9yt5H5AMnVxq4mdBpcVbjuex+kMm2n2qs/peELLzCcGloQmbtTSjBZCkLYVetjYWMEozDLakyFt47yfS+hP/N14FjZ4oI7qXvPbRwZU7Yo8VTh2fsC2sv/kllIDKH/6rNUfOlljgojp+JiIqGkFtg1bt3ylZG64fvoXVsRQz1YbevoS4dJJsYL6GA6Qs3Zn0R79acja7JlLbFZxJg0o+yN7KdizefwSp0IKQaH2pGTzJP1GCU0+5rQet9GWBbp+lV0xrvnfLirxFuNtv2REVEHwIyjvfogped9gqGcDOxwLk4TdSgQYVcULp37YSi9m5QZnlV/e5URQN/4d+PWtK0/puyiL4wbjFCqeTF2PTnh8WL/ZrytZ+f0WHwwNUDZ1d/G+OkHR0bKWaddS8ztoyO8G29NE/qipcRiHZOOVzsaP0xg7Zdx169E3/1fpJsvwDzrE3TPcgBH2koRjB2e4l6CJf4m3D+7AQY6ADDKGmn5zNO0p94d+fYjEJR6a3BpLiKpoWnZNEgkaMf7WAKaQbFvujpR1KHAhF2VYwqLcb7uT25mKLiB2IqZectoiPGZIBwrW4xmpD5XGWWeamTDasTe58ffddFKUmZuJ1klzQg9bg/1X3oZ0f0GMtBIoqTymC8MxFNDcJJ5EFJa7Au/S8mSs/G3XkBCmoSHdufVdqDEW4W+6+kRUQdgqBtt+yOUrriKcKwXl+6ltaQVfcej6Efexlz9cSJVLXRNMXQjEg9inXkT+pYfQvxY2cldSvrcTzEc3Z+338lunCrqUEDCrsoxhUm23h57qpKm9u3sqz5Cb237tDP3ScsWre8jJjPK6TJ8NOvluB5YBzc9AO3PwZGdAFhn3UI8UEsqciDnv9dQsp+hZAhPZS1pK4oZmfk3gkgiSL6PL2XRhYEIT8zqRbgHTWSy7SZfI+6Hb4HetwEwdv6K0vf/A2VLz2cofuL3npQWXclemu7chPbWY2CZWGfeRHeyL68DoZ2AE0UdCkjYs6isvTARixvwHupkaUyb0WzJo/Ejo2WLd39LuvlCzNUfGylb1LiqcD39zUwm+ugdcPV3IFCPLK1n0BqmJ9oxxSvMBUki7ydLc0Mk0Y911ifQttw72h4pBNa5nyKS6Eeg4UrGR0Q9i77lXipP/SVTuTZFk4O0p8KUtF0GAiKRvUVtT2yHY+NMKChhV1l74WKV1s3qcceXLeLHyhbZ2q1b6HD03cydBzrgkdsBMO94hsMiWtTiMhPSVoqjJKj5zDMYm/8RLAvzkq8S1CVmIpExFp6sTq67p10iktLCTMdp9NRieEuwdBdHUyEGpjlYxNC9VLor0REMpiPEkoNTP8gGnC7qUGDCrli4nKhsMWwl8be9H23bA6OL7hJkoAErvHve4isEgok+wkYJldf8HwAGzCESiV4gswEa13WM1ksQBzaPPMa8/H8RTE/P595tlLBEr8D14EdgsBPcpSy68QeImiWEphD3gLuSRlGCvvEfELEQ5RfcSbh2Kd3Rrln+tvnBSb3qJ6PghF1W15IM9qlyjAKAUKKPyrVfxpWKo73zJFS2Yn7wHg4fEyzFeJJmhCMnKB8dih2i5cbv4+p+E9G7C9n2AQZcGpHY9NoV69xVuB7/ckbUAZLDGI99kZo/3TKFsAsa3DUYP1o7slFu7H+BwM0P4a2oIp50hn23kzdLj6fghF2hGIsl0+wL76V67RcJvO+rpGSSvtSgY8QgH7gMHwIt586RaSvFvnA73qp6jLoWYokQ6dj0T596NA/0bB+/aMYRyZN75XvdAcTBLRO6n4ytP6F83V8Tn7LCn38KSdShgIVdbaIqsljSpC/WzXzvvrh0H3XuGryGl0Q6Tm8ymPOBH353BbVGGbrmIiJTlGo+jKPvIs0EVv0quuI9xHM8PWqqds0TEU3H8LRegtg7xkLCW47l9kPixI+zLBNKJ1qHWCU1mcNgNlNoog4F4BUzGco/RmE3bqOEpZ4GKp76H3j/5XzKH/8LWl11eFylOXuNSk8NzZEopes/he/frqD6lQfwDvVgrL8V1y9uw/OTdSzxNiCEM97GfcmjmB+8G1rWZBYql2Lesp4jU3jDJ80oqepl0HDW6KKnDOuSrzKYsLemXYiiDgWcsYPK2hX2Ue+uwfXoZ+HwsdJD11Zc62+l4U8e4kAOhmoLBLWuSoyHrgUrYzUgtv47eEphxY2w41EYPoL+2v8jsPp6hmK59cOZDWY6wf5YJ3XX/yM+zYtppThihoglQ1M+tiPWwZKPPYDRfwARC2E1nUd3ondGRmS5plBFHQpY2FXro+JkaEKnwddIifAAkpg06Y53k7ZmUWOYBI8wRkU9S3APLily8vwuwwdH3hoR9RH2PAfnfDIj7IAY6kYXk7Qp2kQqHedQtHPGjzPTCfYN78Hl86GVNJAIv5uH6KZPIYs6FLCwKxQno6VkKd7nvoP29uMAGKdcRusN/8zeody0QJpI3IEGCI/pGPFXYWm5KYuY6SRUtky8oeY0GBxtAUyf/xmGE1NnxIVCKh0Dmw+rFrqoQ4HW2MeSDNq/Y65wFl5XAPfht0ZEHUDs24Sr/TlKcuTR3psKYX7kfvAcKwW6SzE/fB+90yg7TAdLmkQMA+vCL4A49i2gogV5xbdgqBuWXop5268JeTwZMVTkhOzho0IWdSjwjF2VYwoHbbgXAqVA/k8Tugw/WtfWCet65x9xL70wJ/4skWSIbl8liz6/Cc2MI9ylpKRJqRklbvhImXMX20PRLtLn30rZhXeCGcc03PSaIUou/QoCGDDDxONTuToqpkMxZOljKWhhz6I2UZ1NsD1EyRtbOLS4nUGfhp8leX29eHKI9Gnr0F7+wbh184zrieVgYzNLOBliODXIKYHluP9wP75dv8FbdQpl1/4tnSJMNDXXDzHJ4Vg3x0t37n4DBRSfqEMRlGJU66Oz6duwA/dLP2d/y2YGz9dm5ck+U1LpGJHSStLX/A14KzIWsu/7n8QXnZ7p0c4hVd463C//KGOuNdCB2LcJ48HrafTOzhtHMb8Uo6hDkWTsCmfSt2EH3s6NBFfuoqytjcUXXT9vr30o2knFsrVUnb4OgSCUDtM/nHtv8IDwoL392PjFaD9apB8hdKRDbWt97goM3UU0MZCzTqFCo1hFHYpE2JV/jHNZsjLAUNvSeRX1LAPxIwzMyCR45qRkGipaYPg4bxpfBTLSn9fXng0u3UtLSQv6/s2IUAdy5Yc4KpIE4wvLW6eYRR2KoBSjUNjJUXMA8wPfBffoiVNrzZ8TtuI4cSxcs68Jz8O3YDzx5+gv3I1x3yXURMJ4XQG7Q5s3ClHUh+NBhuPTP4VbFBl7FrWJ6jxkNLc+Jk4jkRqm2+2i/osvIgY7obSOsEzRM2bQtlMwNDdG+DD0jhnCLS2MTX9P5XXfpSfHnjNOoxAFHRgRdHf59OMuGmFXrY/Oxaz22x1CXgknQ4STIXTDhRXtQOLQ4R5CINKT1NPTycxs2SJmIYk6qFKMIo/oscIYSpAr0lbKuaJO5th+urIFypvHr7/3K4SswhjxNxsWmqhDEWXsoDZRnYgI+IG43WEojtEZ76bl00+ivbkeLXSQ9Lm3MegPEHVg6WiujJ12VGiinmU2og5FJuwK59C3YQf+7pfZ2nYEF/ntW1dMn0RqmPZUO6Urr8UQBpHkAMkiFvVCFfTheHDWog5FKuxqE9U+gu0h/Fs34fa9RN9NPspWXZn3A0mKmSGxCMeKt71xoYs6FKGwq01U+8iKur58F8NtdbTa0LuuWLgUg6DD7MsvY1Gbp4qcUrNIx+M3cJ1+ut2hKBYQStTHMydhF0LcLYR4RwixXQjxmBCiIidR5QBl56tQFD/JoaAS9UmYa8b+LLBKSrkaeBf45txDmjvKGMw+ZGwQKoq7b13hDMYKuhL18cxJ2KWUv5NSZmd3vQI0zT0khUKhODHFkKVD/kQdcrt5egfwixPdKIS4E7gToL5ucQ5fdnJUT/v80rdhB/69T7L98iO4WpfTojphFHmgGAQd8ivqMA1hF0I8B9RPctNdUsonjt3nLsAEHjrR80gp7wfuB1hx2lnOc0dSzIqx7Y2hKzTK3qfaGxW5pxgOG2XJt6jDNIRdSnnVyW4XQtwOXAdcKaVUgr3AsDq6aFw+wM62OppUe6MiDxRLlg7zI+owx1KMEGId8HXgUillNDch5Q5Vjpkfit3BUWEPxZSlw/yJOsy9xn4v4AGeFZlJ6q9IKb8w56gUBUexOzgq5heVpc+NOQm7lHJZrgJRFCZ6LAgLZ0aDIs8Uk6CDPaIOC+DkaaYcow4r5YNgewh/3wF6A4N2h6IocIqlhXEsdok6FKFXjGJ+yLY3dl1+BNeK5bQsv9LukBQFSLHV0bPYKeqghF0xC/o27KA++DQHrxhQ7Y2KWVNsGXoWu0UdFpCwKyvf3BJY5CN9xhIl6ooZowQ9/xR9jR2Ud0wuCbaHCHS8Sh9H7A5FUWAUYx09i5NEHRZQxq6YO30bduDt3Mj+ljfxndmIv3aJ3SEpCoBiraNncZqogxJ2xTTI2gbEtVeJrAziX3OO2ixVTMlCEXRwlqjDAhJ2dQp1btQs0vHXl3H07DOoXn6u3eEoHE6xllyyODFLH8uCEXZFbkjXqtNIihNT7IIOzhd1UMKumCYypg4hKU6MEnRnoYRdMSXa8LGJ9moykuI4FoKgQ2GJOixAYVf97DMj2B6i5I0tHFrczqBPw4/qhFEsPEGHwhF1WGDCLqtrEcE+u8MoGLK2AfuX7cV3diP+Ve9RB5IWOAtF0MF5WXq/FZz6TsdYUMKumD7ZnvW+czpVe6NiQQk6FLaogxJ2xUloXgr9a1YqUV+gFHsf+mQ4TdBhVNRLvNOPSQm7YlKUz/rCZqFl6FA8og4g7BhTKoToAw7O+wuPpwY4anMMTkFdi1HUtRhFXYtRnHItWqSUU5pf2SLsTkAIsU1Keb7dcTgBdS1GUddiFHUtRim0a7Eg3B0VCoViIaGEXaFQKIqMhSzs99sdgINQ12IUdS1GUddilIK6Fgu2xq5QKBTFykLO2BUKhaIoUcKuUCgURcaCFnYhxN1CiHeEENuFEI8JISrsjskuhBAfE0K8JYSwhBAF09aVS4QQ64QQu4UQe4QQ37A7HrsQQjwghOgVQuy0Oxa7EUI0CyE2CiF2HXt//IXdMU2HBS3swLPAKinlauBd4Js2x2MnO4GPAC/YHYgdCCF04IfA+4EVwC1CiBX2RmUbPwPW2R2EQzCBv5RSngFcBPxpIfy/WNDCLqX8nZTSPPbjK0CTnfHYiZRyl5Ryt91x2MgFwB4p5T4pZRJYD9xoc0y2IKV8Aei3Ow4nIKXskVK+duzfYWAXsNjeqKZmQQv7cdwBPGN3EArbWAx0jvm5iwJ4AyvmDyFEK3AO8Ad7I5maojcBE0I8B9RPctNdUsonjt3nLjJfuR6az9jmm+lciwWMmGRN9QIrABBClAK/Ar4ipRyyO56pKHphl1JedbLbhRC3A9cBV8oib+qf6loscLqA5jE/NwHdNsWicBBCCBcZUX9ISvlru+OZDgu6FCOEWAd8HbhBShm1Ox6FrWwFlgshlgoh3MDNwG9sjklhM0IIAfwE2CWl/J7d8UyXBS3swL1kXMefFUK8IYS4z+6A7EII8WEhRBdwMfCfQojf2h3TfHJsE/3PgN+SkkBirAAAAG9JREFU2SD7pZTyLXujsgchxH8AW4A2IUSXEOKzdsdkI+8FbgOuOKYRbwghPmB3UFOhLAUUCoWiyFjoGbtCoVAUHUrYFQqFoshQwq5QKBRFhhJ2hUKhKDKUsCsUCkWRoYRdoVAoigwl7AqFQlFk/H8lVSxzb7HA1QAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Con otros d y r\n", "poly_kernel_svm=SVC(kernel='poly', degree=10, coef0=100, C=5)\n", "poly_kernel_svm.fit(X,y)\n", "plot_predictions(poly_kernel_svm, [-2.5,2.5,-2.5,2.5])\n", "sns.scatterplot(X[:,0],X[:,1], hue=y)\n", "plt.title('$d=10, r=100, C=5$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Núcleo radial (Radial Basis Function, RBF)\n", "$K(\\mathbf{a},\\mathbf{b})=\\exp(-\\gamma ||\\mathbf{a}-\\mathbf{b}||^2)$" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "gammas = [0.1, 5]\n", "Cs = [0.001, 1000]\n", "\n", "for gamma in gammas:\n", " for C in Cs:\n", " rbf_kernel_svm_clf = SVC(kernel='rbf', gamma=gamma, C=C) # Definir\n", " rbf_kernel_svm_clf.fit(X,y) # Ajustar\n", " plot_predictions(rbf_kernel_svm_clf, [-2.5,2.5,-2.5,2.5])\n", " sns.scatterplot(X[:,0],X[:,1], hue=y)\n", " plt.title(r\"$\\gamma = {}, C={}$\".format(gamma,C))\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }