{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plotting Decision Regions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A function for plotting decision regions of classifiers in 1 or 2 dimensions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> from mlxtend.plotting import plot_decision_regions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### References\n", "\n", "- " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 1 - Decision regions in 2D" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mlxtend.plotting import plot_decision_regions\n", "import matplotlib.pyplot as plt\n", "from sklearn import datasets\n", "from sklearn.svm import SVC\n", "\n", "# Loading some example data\n", "iris = datasets.load_iris()\n", "X = iris.data[:, [0, 2]]\n", "y = iris.target\n", "\n", "# Training a classifier\n", "svm = SVC(C=0.5, kernel='linear')\n", "svm.fit(X, y)\n", "\n", "\n", "# Plotting decision regions\n", "plot_decision_regions(X, y, clf=svm, legend=2)\n", "\n", "# Adding axes annotations\n", "plt.xlabel('sepal length [cm]')\n", "plt.ylabel('petal length [cm]')\n", "plt.title('SVM on Iris')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2 - Decision regions in 1D" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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7u22/18/cdtymQVmMPXsEBRNyyRmYxaDhAxh3wQg2l9aRlTCK9s8jp3gAo6cUU7h/HomkUbu8nnEXjGDQ8AFkJY2codE+NWVbyEoa+fvlRH0sqSUraQw+sADLNvY9axiDDyyI2owfxLgLRlC9tA5LWhScLX1mUVO2hXEXjCB35EAsaRQdkMfoTw5l4N7ZFB2QhyWNzaVRm5xhcR3Dslv6zEoa1W/XMe6CERROyG3pY7/zR/Lys6+0fF/n37eAsdNGMnh8IVmJLDa+Vcm4c0diRWmyElkMHl/I2GkjmX/fgg7bDx5fSEPTVvY9e3jLYxt8YAHjzh3Jo/Me63Sf1n32dwpk2aE7H3qOKROyOGDYQKZMyGLWg8/udJ9v/uJ+zp+U5JAR2Zw/KcnVt8zZ4fbP33Dndsdof9xv3DqnzfIXbriTCw7J5tARSS44JJuf/OGvTD84m0NHJJh+cDY3zvprm+0zfngnX/jRnW3a/NfP/9imjm/ccl/L9pyk0ViQZsggIzcbhgwyagc2sHBZedvj3rXtuLgzaMwAkgZm4CmncL9cGiqbADAgVZsiZ/hALB4vbd3USOF+uXhT/OLTo322VjREi0Dh+Fya6lMtz1+6IU3BuNxtT6hHbVL16W19jt/W59aN8XKr70Hu8AE01W3rc2tF3CZ+xexNTuH4XBoqG6Nj1qfj7dv6KByfS6op3bK8oXwjRWPzW5brNtRTNCGfpsbGlnVFY/PZUL6xw/YATVtTFIzNabOuaEI+9bX1ne7Tus/+ToEsnWoepV54eDSne+HheTsdJTePfr8wOfql+sLknDaj5PbbP3fkQCorKjh5/4Etx/jzYy/wl7+/2HLc8z6Qy8JFpUw5MNrnhP2ySTds4fNHDoiWxyUoyjG+eFQ0h3/upCRFOcZnD4uWLz9qAO9urKCxvo7LJ0frzjs4SX62c/GhUR8XfWAA+dnOeQdH5wYOGprF1nVbKYqzYVieUb9uK1npFJcfFe1z6aHZFOVYyz4FA42asi0k4t8qSxjVpXUMGBxtN4NEXoL6dVtpfv06cK9sqkujkW1zo+rSOgYOiY5hQHVpHcmcRMtznDUgi81ldduedIvaJHKyOuxzYHG83Or7VLeugWTutj4HDonbxH8pLNlce/R8ZeVkxdu39VFdWkciuS1ChpYUU7W8pmU5d2gOVW/XkMzedm6lankNQ0uKO2wPkByYYPPy+jbrqt6uIScvp9N9WvfZ3ymQpVPNo9Ti/ChQivOTOx0lN49+R+ZHv+wj8xNtRsnttycNLjgkmzn/rGg5xtDsej5S0tByXGvawvmTkjz4VvSLeO8rG5h+cDbZ8U/vj59rYPrB2QzNi1Y8/HaK6Qdn0xgP3koKEkw9MMn7hyYoKYiO+0jcZktDNEqsb4yWH3k7Wr7qAwk2PVrB0kVbSKecTSvrWTd/I8cNp6WP+iba7HPxRGPFfeuoWFJLusmpX9dA2d1rKRifi6edTUtqqd/QwMoHN7IpbpM3Noeyu9eyZV1DtM+GaJ/8cTmkm5yaZfWUzV5Lwf55pJucykWb8UZnxZz1VC7aHLUp3ULZ7LUUToxGxXljciib3dxnmvxxgyibvZa6NVvxJqdqcS0rH9jA1ncbqVpcizc5BeOjNvXr4zrWN7b0mW5yCifkUjZ7LdVv17X0sezuNS0nBwFOPvskls9bQ2VpNelUmuKDBlN27xq8Kot0Kk1laTXL563h5LNP6rB9ZWk1A5IDWXHfupbHVrloM2X3rmk5kdnRPq377O/2mJN6uspim946qffJr91K+frtXwqWDCvmgf+9osN9xk79Jo0NW7dbnz1gIMv/csN221OpKDUbHcaNGBzVv3Ez2QkYNrgAgPWVm0ml0qTJYp/iApaVv8uAhMXfHahvcnKS24ZuDSmPtjstIzp3aExH69u3SSazaGpKY7ZtPcDWlFM/IIEDCYOsLSlyk9amz9b7OFDb6DQOSuLuZGUZTZubSBQkaapLkcxN4DVNZBl4XrLlCoiG6iYGFG5bbqxuImfwANzRVRZ7yFUWXT2pt8cEsmzT21dZSM+deddjnHn56ZkuQzJEV1mIiPQzCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhAJZRCQQCmQRkUAokEVEAqFAFhEJhLl71xubfc7df7Mb6+kVqrP39Zda+0ud0H9qVZ19p7sj5M/tlip6n+rsff2l1v5SJ/SfWlVnH9GUhYhIIBTIIiKB6G4g95f5GdXZ+/pLrf2lTug/tarOPtKtk3oiIrL7aMpCRCQQCmQRkUB0KZDN7GQzW2xmb5vZN3d3UbvKzGaa2Xoz+1ema9kRMxttZn83s3+b2ZtmdmWma+qImeWY2Ytm9npc5/cyXdPOmFnCzF41swczXUtnzGy5mS00s9fM7OVM17MjZraXmd1vZovin9cPZrqm9szsgPi5bP5XbWZfyXRdu2Knc8hmlgCWACcCq4CXgPPc/a3dX173mNmxQA1wp7tPynQ9nTGzkcBId/+nmRUArwDTQntOzcyAPHevMbNs4BngSnf/R4ZL65SZXQUcCRS6+5RM19MRM1sOHOnuGzNdy86Y2SzgaXf/rZkNAHLdfVOm6+pMnFergaPdfUWm6+muroyQJwNvu/syd28A7gWm7t6ydo27PwW8m+k6dsbd17j7P+OvNwP/BvbJbFXb80hNvJgd/wv2LLCZjQJOA36b6Vr2BGZWCBwL/A7A3RtCDuPY8UBpfwxj6Fog7wOsbLW8igDDo78ys7HAYcALma2kY/EUwGvAeuBRdw+yzthNwNVAOtOF7IQDC8zsFTML+d1l+wEbgDviaaDfmllepovaiXOBezJdxK7qSiBbB+uCHSX1J2aWD/wJ+Iq7V2e6no64e8rdDwVGAZPNLMipIDObAqx391cyXUsXfNjdDwdOAS6Pp9pClAQOB25z98OAWiDkc0gDgE8CczJdy67qSiCvAka3Wh4FlO+ect474jnZPwGz3f3Pma5nZ+KXqk8AJ2e4lM58GPhkPD97L/AxM7srsyV1zN3L4//XA3OJpgVDtApY1epV0f1EAR2qU4B/uvu6TBeyq7oSyC8BE81sXPwX6Fzggd1b1p4tPln2O+Df7v7TTNfTGTMbamZ7xV8PAk4AFmW2qo65+7fcfZS7jyX6GX3c3adnuKztmFlefCKX+OX/SUCQVwW5+1pgpZkdEK86HgjqxHM759GPpysgekmyQ+7eZGZXAI8ACWCmu7+52yvbBWZ2D3AcUGxmq4Br3f13ma2qQx8GPg0sjOdnAa5x979msKaOjARmxWeus4D73D3Yy8n6ieHA3OhvMkngbnefn9mSduhLwOx4MLYMuCTD9XTIzHKJrgSbkelaekJvnRYRCYTeqSciEggFsohIIBTIIiKBUCCLiARCgSwiEggFsmSEmR3X0R3ZOlvfC8ebZmYHtVp+wsyO7EKNVWbW48sRzWxQfCeyBjMr7ml/smdSIMt7xTTgoJ222t7T7n5qTw/u7lvit6DrXa7SKQWydCh+R9lD8b2Q/2Vm58TrjzCzJ+Mb4zwS30q0ecR5k5k9F7efHK+fHK97Nf7/gB0dt4MaZprZS/H+U+P1F5vZn81svpktNbMbW+1zmZktieu53cxuNbMPEd3j4MfxKHV83Pys+H7PS8zsP7tY09XxvYxfN7MbWj32n5nZU/E9g4+K61tqZtd39fGK7PSdevKedTJQ7u6nAZhZUXz/jVuAqe6+IQ7p7wOXxvvkufuH4pvlzAQmEb3V+tj4HZ8nAD8APtXFGr5N9BboS+O3cL9oZn+Ltx1KdJe8rcBiM7sFSAH/TXS/hc3A48Dr7v6cmT0APOju98ePByDp7pPN7FTgWqK3hnfKzE4hGmkf7e51ZrZ3q80N7n6sRR828BfgCKJbwZaa2c/cvaKLj1newxTI0pmFwE/M7EdEQfZ0fKe3ScCjcaAlgDWt9rkHovtSm1lhHKIFRG+/nkh0l8DsbtRwEtENg74eL+cAY+KvH3P3KgAzewvYFygGnnT3d+P1c4D9d9B/802dXgHGdqGeE4A73L0OoPk4seb7uywE3nT3NXENy4huzqVAlp1SIEuH3H2JmR0BnAr80MwWEN2Z7E137+xjfNq/D9+B64C/u/vpFt37+YlulGHAp9x9cZuVZkcTjYybpYh+lju6VeyONPfRvH9X6unsXgPNfaXb1ZbuYt8imkOWjplZCVDn7ncBPyGaBlgMDLX4c9XMLNvM3t9qt+Z55mOAqngEW0T0kToAF3ezjEeAL8V3x8PMDttJ+xeBj5jZYDNL0nZqZDPRaL0nFgCXxjeyod2UhUiPKZClMwcTzdm+RjSXe338EV5nAj8ys9eB14APtdqn0syeA34FXBavu5FohP0s0RRHd1xHNMXxhkUfXHvdjhq7+2qiOeoXgL8R3SqyKt58L/Bf8cnB8Z10sUPxXdkeAF6On5ev72QXkW7R3d6kV5jZE8DX3T2jn6JsZvnxh7ImiaZYZrr73F3s6ziix9RrH5Zq/egDTqXvaYQse5rvxqPXfwFlwLwe9NUATOrNN4YQjfhD/8w/yRCNkEVEAqERsohIIBTIIiKBUCCLiARCgSwiEggFsohIIP4fFFje8g2QtnQAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mlxtend.plotting import plot_decision_regions\n", "import matplotlib.pyplot as plt\n", "from sklearn import datasets\n", "from sklearn.svm import SVC\n", "\n", "# Loading some example data\n", "iris = datasets.load_iris()\n", "X = iris.data[:, 2]\n", "X = X[:, None]\n", "y = iris.target\n", "\n", "# Training a classifier\n", "svm = SVC(C=0.5, kernel='linear')\n", "svm.fit(X, y)\n", "\n", "# Plotting decision regions\n", "plot_decision_regions(X, y, clf=svm, legend=2)\n", "\n", "# Adding axes annotations\n", "plt.xlabel('sepal length [cm]')\n", "plt.title('SVM on Iris')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 3 - Decision Region Grids" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from sklearn.linear_model import LogisticRegression\n", "from sklearn.naive_bayes import GaussianNB \n", "from sklearn.ensemble import RandomForestClassifier\n", "from sklearn.svm import SVC\n", "from sklearn import datasets\n", "import numpy as np\n", "\n", "# Initializing Classifiers\n", "clf1 = LogisticRegression(random_state=1)\n", "clf2 = RandomForestClassifier(random_state=1)\n", "clf3 = GaussianNB()\n", "clf4 = SVC()\n", "\n", "# Loading some example data\n", "iris = datasets.load_iris()\n", "X = iris.data[:, [0,2]]\n", "y = iris.target" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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Ksl+sNSQ5kMa6Rje1UulNKr+U/swxw8wmMwHDvDGbzK3bDOb88shOU8tZWkSgZSAsIlDH5cmCDau/7NZ+f/fgn7jv6oc4kZXHNbOWsf5/X/VEcxWllbPbc738tFQddyikPK7HN8DXTa1UepPKL6U/c8wwL38d+hONmIynOk2DOb888vLcwZ372FzYyIeHCu2eDy/b160h7qde+r/uNk1R2lVaWEZi4ji754adG0f2qiK0N2oISQ6k+rie7FVFXLz4Yje1UulNKr+U/swxwyz5VUzitTGEjw0Z9PnlkZ2mP779nLuboChd0nJ7btjI4NbnYqdGUbmnntx3S2msy8M3wJeLF188KOsBBgOVX0p/5phhY5eMoKHSwPH/FoIsHPT55ZGdJkXprxYuXWBZYmCxZQK46hw9OWuLuPWXN3W45IBa30lRFHdzlmFUa/jZnx5oN48GS36pTpOi9KCWkPh69QbSC/OIio/kutuWutRhUus7KYribl3JsMGUX6rTpCg97IxzJnc6KGyLLwHLfxdbnh9ooaMoimfrbIYNpvxSnSZFaUdfDTk7KyAPSQwkvTCvx4/V05oMTe5ugqIoTqj86nmq06QobejLIWdnBeSevL6TvlrPwe8OUHYsn0itYPlbd7m7SYqi2FD51TsGTafpZOFJ/vTIX6gorUSjEVx+/aVcc/vV7m6W4sH6csi5rQLy625b2qPH6Q6T0cThHYc5vvUwSSEB3DF7LFPOn4QQwt1NGxRUhimdofKrdwyaTpNWp+X+X9/D6ImjqNfXc9fl9zL93Gkkjhru7qYpHqovh5y7WkDe2xrrG0nZmULevuOESMlVZ47gd/dego+3l1vbNRipDFM6Q+VX7/DYTtOPW37ikw8+oSivmLihsSy5YQmz5s3s8v4ioiOIiLYsdO4f6M/wkcMoLS5TgaO0qa+HnLtSQN4bzGYzGQcyydh2BF1tHbfOGcfcuy5Go/HIBQQ8Uk/nF6gMUzpnsOZXb/PITtOPW37i9ddWknhlPMOSJlKVXcvrr60E6HbwABTlFZNx9Djjzxjb7X0pA4dj0eToCaPYvXa33ZBz6lvZBAYG8ug1T3SqsLI/zGGSeSiLw9/sIcBk4sIxCTy69BwC/X3c3ax+p7fzC1SGKc7Z5oxfgC/FbxUz7tYku0tmM2bO4NmH/tapLOoP+dVXPLLT9MkHn5B4ZTzhySEAlv9eaXm+u6FTX9fAb+/9HQ/+9j4CggJ6ornKAOCsaHL32t3MmDmD9I0ZpBfm4ePjg9ZXw9BrolpDyJXCSk+dw0RKSX5mIYc37EVW6Zk+NJL3bp+PTqd1W5sGgt7ML1AZpjjnLGfSV9WTu+okBoPlktmMmTPY/dPuTmWRp+aXu7jUaRJChAL/ASYCErhdSvlDbzWqKK+YYUkT7Z4LTQriWF5ut/ZrbDby23ue5qLFFzJ34bnd2pfSOZ5+pvL16g0Ejffj2Nps6ksb8Y/yJXJ8GOkpGTzx4mMAPPvQ3wibH93pwkpPm8OkqqyK3et2YSquZPqQCP55+QzCgwfuP74DJb9AZZg79csMmxqGJteHJ178HWDJsM5mkafll7u5OtL0AvC1lPIaIYQ34N+LbSJuaCxV2bWtZ2oAVdm1xA2N7fI+pZT85Zd/Y3jycK6785qeaKbiov5wppKXXoCmUjLsymgCh/uhz23gxGcnMZeeujOsq4WVnjCHScXJSg5u2EtdfhmJwX48Mmc8ExJj+uz4btbv8wtUhrnTYM4wT8gvT9JhZacQIhiYC/wXQErZJKWs6s1GLblhCTmfFVJxvBqzyUzF8WpyPitkyQ1LurzPw3uOsOHTb9n3w37uWHQ3dyy6mx837+rBVittsT1T0Wg1hI0MJnFxHF+v3uDuprUyCxMJiyIIHuGPRisIHuFPwqIIzMLUuk1LYaUtVworu/q+7mqsN7Djk22se2YVJz/dxuNnJvHuPYv4443nD5oO00DJL1AZ5k6DOcPclV+eypWRphFAKfCmEGIKsBf4mZSyznYjIcQKYAXAnU/dyoXXzutyo1qu+3/ywSccy8slbmgsd929olv1AJNnTGJrzrddfr/Sdb19ptLVYXPb9xnqDHgFajE2mtD6aDEZTHgH6dBpT31FujoXSV/OYWJoMLB/4z5Kj50gXAiWnj2Wcy6cPJjnUhoQ+QUqw9ypNzOsJ/IrKj4SaZJ4B+l6PMMG0xxMrnCl06QDpgIPSil3CSFeAJ4AfmO7kZRyJbASYFXK27K7DZs1b2aP3WmiuFdv3vra1WFzx/ftfGY/dQUGNFot0tyEzssLbb0PCSPiW9/T1blI+mIOk5QdRzj+QyrRQnLTnPGcMWcBXqqgG1R+KT2gtzKsp/KrOkdPZpoJc6XA5CUxNDf0WIYNpjmYXOFKpykfyJdStowDf4wldBTFJZ05U3HlrMt2m/q6esbemtjt4uzkS4dz+IMMdH4azE0Sn0AvNAYdt/58ud37ujoXSU/PYWI2mTm07RD5+zLxbmjk8qnJ/OKGuQQH+PXYMQYIlV9Kt7maYe7Kr7CRwSRdnEDau7n4R/lg0Df3aIYNljmYXNFhp0lKWSyEyBNCjJFSHgMuBI72ftOUgcLVMxVXzroct/nul7sw+Ruo1zfgH2jpMHS1ONsrQEv0eSEEJfhjKDVRvqW2Rz5/Tzp+KJPMnak0l1Zx89ljmHvTefj5eLu7WR5L5ZfSE1zJMHfnV0C0H8ILYs+PwCdK67EZ1t+5evfcg8D71jtPsoDbOnsgibTc7OvJpRXS2k6lx7lypuLKra2O2wTG+dNUa6TGq6Y1dDpTnN2yn5zvChi2OBr/cD9ih8XAaIiIrfGI22oLs4s4sG4X1NRx/uh47l54JlFhQW5tUz+j8kvpto4yzJ35BZD51QmSrooneU6i5QkPyrCBxKVOk5TyADC9OwcymA34mH1AIz0zeCRgFhjMBs9s3yDgSrFlaWEZhn2+7H7pMM0NJrRegtr36hh2eTTRCVEuz3rrONyuL6pnSFAEweHBbR67LxVkFpK69RANxRVMjgvn5SVnq0tvXaTyS+kL7syv6hw9tQUNnDExut3jK93XZzOC11ED9eCj8UF44LdaIjGYDZZ2Km7hSrGlyWAmf3cJI26JI3ikPzWZ9WS9X0T2h8VUbTK4POut43C7VurQ1vu0nu05O3ZvqyytInXbESpSTzBtSAS/nTOWYbHhfXZ8pW0qv5SOuDO/ouIjSUiMo7nMCKemBxvUUwP0lj7rNEkh0VON3pNHjz0vC/sFV4ofP33tMzau3URjXSO+Ab7MX3whgN1zE8+cQM7avHaLLesb6xi2LBrvUB0NJw14h+oYviSGvFVl/P3jZwHXZ721HW5vqTXw9ffp09tqK0oqObL5AJVZRYwMC+LmaSOZcaEaSvc0Kr8Gtq5kWEJCPAUFhR6RXy2fQU0N0Ps8cu05pf9wpfjx09c+45v135B0cxwhyYFUH9fz1XtfYzKYGX3HkNbnDq06yOSJU6jcWNtmsWVTQxO+UV54h3ih8RaYmyTSJGlqaGrdpitzqvTlbbV1NXUc25VGwZ50ksMCuf/ssYxfOHUwz6WkKG7TlQwrO1RFzqc5RM8OY+jFSW7PL9u2qqkBepfqNCnd4krx48a1m0i6OY6wsZbi5bCxQSRcGkHx1kq751gGR95N4dWvXmzzeEIraK414R9vmcxe62t5LLSnOhxdnVOlN2+rra+tJ2XbYYqO5BDtrePSM0Zw0b2XqI6SorhZVzLMN9KLpBtjKdpYgUYnPCK/QE0N0BdUp0npFlfOihrrGglJDrTbxi/GG0N5EykvZdNY1oRvpDcx54bToG9otwDSW+dN/helaHQaAhN90ec0kv9FKeYmyaPXPEFUfCSjJ4xi99rdbh+mbm5qJvNAJpk/pBJpNnHVzNHMun0+3l7qa6conqIrGSYlmBrM6HMa2PvUsQGZX4pzKr2VbnHlrMg3wJfq4/rWszSAst016Py0xF8SSeAwX/QnGsn9uASz0UzYfL82h8mTJiRiiNWT/0UpjRVN+IR5EZjkj06jY8aTlvfsXrubGTNnkL4xo8+Hqc1mM0d3ppC7JwNfQzMXjh/CI9fOVne+KYqH6kqG1R6vo3RPDUnXxxJxRvCAyS+lYx0u2Kso7Vm4dAE5a4uozKzBbDJTmVlDztoiRk8YxbMP/Y1Hr3kC/wB/Mt7IpzKtFrNRUplWS+muahIWReIf54PQCPzjfIiZG4pPmE+7i2IuXLqAxkwjk64bw0V/OZuEedHUZTeSfOlwu/fs+X5fn/4eclNz+ea19Xz97Cqm19bzr6Xn8Po9i1g2d5LqMCmKB3OWYalvZaOv1vPoNU/w7EN/Y+KZE8heVdSaYaU/1RA7N4zg5IABkV+K69RIk9ItzooPnd0ym/JOE8dfL8JkMuIb4Iuvty+x46LRl9diNks0GoF/jC8anX2Nj+MwuePxqiuqmXTbKGLPPHVW2FhloKy6lOHLoju1nlNnlReVs3vtTkzlNcweGcsz86cQGxHc8RsVRfEYjpni4+OD1lfD0GuibC6P5TF54hSOvJtCY10eZrMkdFgwRn0zdTXGfplfSteoTpPSbY7Fh85umZ2wfCSVGxt44sXHWrcRdVqGjRrW+r7jO3LwCfSy27ezAkjb4z370N/wDfWxez3zqxMkXtnxLbtdUZRbTNq2I9SeOMmYiCD+umgq0Wp2bkXp1xwzJWx+9Gn5UbmxtrXI+9mH/oYffoSNOnWS1B/yS+k+1WlSepwrhZULly7gjRfeImJeAL4x3jSWNHHy22q8NN5UZta4XADZFzPj1lTUcHRHCicPZjElIYJfzBxF8uVqBXtFGYgGWn4pPUt1mpQe50phZVZKNnWVdTR/34Sx3oTOX0tTbTPjZ05od54TR701M25FSSVpO1I4mXaCYUH+3DB9JDMfvLwTvwVFUfqjgZBfSu9RnSalxzk7e3I849q4dhOjbh9id0ddZVot+18/SPKkEe3u39nsvS2X/Vpe78rMuPX6BjL2pJO1/QijI4O5deoIpqrZuRVlUOmv+aX0DdVpUnqcKzPTOpu7ydRoRvq2f8uuK7P3dmZmXH11Hcd2pZKzJ4NYPy8umTicPz9wmZp0UlEGICklxSdKkOZT6+H4BfoRFhXa+rg/5ZfS91SnSekVHc1M62zupvxvShl2WVS7BZCuzN7b0fGbDE3kpuSSsvkAMRrBlVNHcv59anZuRRnoTqTnk/fxVmaMO3UDyprd6Sx75k677Tw5vxT3Up0mxc4rv3qNPTv2YjKa0eo0jBw1Ap2/7rQZbmsqa3nzt69z+x9WEBQa2OF+HYekJ545gUOrDsIyWteeqy9sJGJkKMUnSjA2N6Pz8iIwMojSwrLW/bi6LpPj8S6+dj6+Xl5k7DxKoNHE3NHx/OLmC/D1sb/bRVGU/ssxv6bPmcacS85uzYKAoACumzSaS6clc/ez77HyyZvZX1Dh0r5tM6Vl7rlRtw/pk/xytoCw4h6q06S0euVXr7H/4H5GrUggeKQ/BRvLyPkhh+QlQ5hxl/1QclH6CTSFOWz/dAuLbr+s3f06G5J2nPfEN8CX4JAgKnNrCJ8UjLePHyaDiYJDhfgF+Lbuy5UizZbjDb8ilnCvYeRuLGDl715nxYI5/OeW+fj7evfsL05RFLdzzK+azHp2v7GHo6kpTL59DImJ48jfUcLbX++i5GQ5lcV5vL1uB678M+gswxznnuvp/GrvEp7iPi51moQQOUAtYAKMUsrpvdkopW84ns2kHUhn9N0JhIwJAECf1UDSjbFo/GmdrZbF8L9/f0x1USlBXpLU99cTGh/N2QvbvgX/69UbCBrvx7G12dSXNuIf5Uvk+DBqc2vtFrf81Y1PUby5Et8IHwKH+1FfaKB4cyUh2rDWbVqKNM2XmzB6GdA1+3LiixK7Isl1732JJlhSvL2E8AR/Zl0zHP15jRzYkKs6TIOQyq+ByzbDykrKGH33kNb8ChkTgF+kN1HnBrd2UoKHBGA4I4D3v9tPtL+GZz/ZxPRJE5jVwXGcZVjsrAg0uT6tRdw9lV+uXsJT3KMzI03nSynLOt5M6Q+cnc2Y95oISjq15EdjWTPBI/2pLzS0PucVqaPoRBHTbo1n5JgAMo/Vsepr+PPaAAAgAElEQVSNVfgF+rb5hc5LL0BTKRl2ZTSBw/3Q5zZw4rOTmEvta4gMBgOjr0wk96vC1mAafWkiJz472bpNyzHef+EDqorLCY2N4Maf3cCwUUP57r1vqcsroygtjwt/M4HgaP/W9/kE6NhenN8jvzulX1L5NcA4ZthX924jcLgf0gzCukCYsd6Mb8ypE6XGBgMNPkY0fhrO/81IMtLq2PbuESZvP9Ruh8SVDOtOftke29VLeIp7qMtzg5Szsxmtj5aa4/WEjrfUKPlGelGTWY+X/6m/JkVHSvCL9iZpbAAajSBpbAD6Jlj/wVdtho5ZmBi6KIrgEZZOTPAIfxIWRZD7bqnddlHxkfiG+jDr0Smtz1Vm1pw2P8mICUnE6ATv3TGUm98v4/jG/fgeyeXxc8eTfPlMLs7LwVBrBJv54cpz9CTFhnf9F6YoikdxzDCtrwb9iQaCR/gjNJZek85fQ2NJE0ywvKfZq4nanAaEWbJvXSlmCSGT/NvNL3Atw1ryK2p0GAwxgoCy3WV4NZrY8+Knrds1NDShKdNz8/hA1qfrqd15lD37jre+7tVoIuX1Y/iHn5opvL7CYLeffcfyuO0f9+HlrWoy+5qrnSYJbBBCSOA1KeVKxw2EECuAFQB3PnUrF147r8caqfQM26Hs6opqJs0YZfd6wuxoslcVM+LGOIJH+hM4wo/s94tJXjIEs8lsqUVaU8ToiyPQaSxnWDqNQGcwcTQlk0evecJp0aJOq8MrUEuj3oDQCqRJ4hWoRae1/+vnyvwotVV63vvTO/jU1/Ll/maWjfUmNiaAR64/r3Wbh6+cx+OrvsB0uaTW20BQkw+5X5zkr8vU5JSDlMqvAcCxnCAvvYDEu85ofT1hdgw5HxYz/NoYQscEUpNZT0NZE6WbaqgcbpmlW19Qh6nGyMzr4hgy0XJyWFxtZPszuTz70N/aLLx2JcNa8ksEmpl3WzLlOXqyPivhxQeXsGjW+Nbtnn9/Az+bHcQjc0N4/vtqCNTxyI0Xtb5+4Zh4Hl/1BUPnhdrll+1+nv7f95iMZrxUtUGfc7XTNEdKWSiEiAY2CiHSpJTf225gDaKVAKtS3pbOdqK4j+NQdtaPJ0hfn4PQiNbFIoeeFUflLj0ZKwvs7p7joI7dX6VaRnzqweClJe2kEYCq9DqKd1WSuDSGMXOTnRYthkQEU1dgwF/jjTRJhFZQX9BEiMPitm3NTzLxrPEc3HGYjE0HiPX1oj49k69viSUyUEeZ3sjS1bu55bI5RIRYahlaguWRlZ9ScLKShOgwnl9xtV1wKd13oriCz3dlsjunmrdnP+ju5rRH5Vc/88On26ktOnVXW0FhKenF2XblBLm5RrI25JO8yDJ9wKRlo2msaCLjPwVIM2h1GmbMmd5691x6YR6VpRVEnx2KPtq3NcOKd1Yi/GW78ytppIacNSV4BWuRUiKEoLnGhDQINrzyeWs7R0UOZ9/uI2z/fRpJseH8ddnldrlTVqVn3dbdrF5qmapg+dQAlV/9jEudJillofW/J4UQa4CZwPftv0vxJI5D2fFTYjCZjRxfn0v05PDWUZ27nrr9tGHq1ukFfr+CzCNZvPWPdzjpU41B34yx3kjkzBCGzxhqVyz+8eufnhrVKq9Bp9cw/JpowhJ9qcxppGSrfYFki5b5SRrqGji2+xhZ249SuTOVKycN53f3XcrLq79jxCQfIgMtf3UjA3VclqzhXx9v5kBGPiufvJmIkABmjB1GnE6wdsUQ7l1Xz8xxw3v/lzzAmc1m9h7LY+vRYg7m1eIdPYKh06/nnEvHuLtp7VL51f80FZTzxvLzWx8n3vgHku5OtCsnGHtDEkf+e5yI0aGtI9O6Bi9+/sxDp2XYiAlJvPnb17nmzqv53+uryTpRgkHfjE+gl2Wtt/vG2O27cYGB1/70H/wD/ImKj6Sxuh7vIC3RC8IJS/SjMqeBgs/KGBYRwhs3zXNo/XVtfq531u/ksmSNyq9+rMNOkxAiANBIKWutf14A/L7XW6b0KMfiQv9APxImx5Oz6iS7f5fa7qyzO9ZsbZ1eIG70MLS+GqLnReATpaU2v56yH2qoyajD/0xLEblXpI6CnCJmPTaZxMRxZGzP4sSXpeR9VExes8Q7VEfC3BjKv9PbHcdsMpOVkk3qdwfx1jewbNZonrlnkd2kk1v2pVN40sAHh0/avdco9xGuM/D2uh08cuOC1nAaE+3DZcmNrc8rnWNoambHkVw++SGLShlA2OhZxE9bxNwrk9zdNJeo/HKven0DpfmlHW/ooKGh0e5xdW09IYn288HFjI/guHc+lRsb2pw5u+JkJbUVtWz/7HsasjL58UsNGh9B9PmW/DKUmmhYWwhN9m02+RswCSMznrKMPKXubiI0LIT8j0vIqjXhHaQlZnIY5T/VcTCjwK5dAX7eJA+Jcvq5VH71f66MNMUAa6z/cOmAD6SUX/dqq5Qe52x+kOYyI6MmjbRb98hRTWUtKRt38MrV0dy/bgf79qQwetnw1v0U+5bgG+5DzqaC1st8xUdOEpTgd+o236RAkq4VVGyq4KJ7h2I0Sw4fqiM82jLSlHU4iwNf7ybQZGbeqHgeuX5um1MDfP73B057rqxKz9LHX+DVyyK5d91uLjv3jA6HwJW2FZZWcyCrhDU/ZtHgFUr4uNlMuuN+tLp+ed+Iyi832vLWBi4dFklnJ9tfeNEZdo9Dgvydzm+UMCK+3fza+tp65o+KI3vLHu6eHsiTG4+QeFUiyXOsIzejLf/J/OoEcdMsHZ2aihqaao0Exvm3jp4PvSyGou/LmH5FFFohMElJbo4BAvx5v6re7pj7/vc93/76eqftUfnV/3WYglLKLGBKR9spns2VImtndqzZyhXJGkbF+HBFcgP/+KmAkYnTWl8PDg/G2NxMbWEdJ1Jz8RNB5HxWxITrklu38dLp8AnWUVtioKmhmeqiZoq/KCEkMIb1z3zI9CERfHD7AnQ6rcufp6xK3zqjr+NZ2S9f/silIXDllMLSalZtS+Ngnh4RPpSIpEnMuO/hfr+0jMov99IIwXXnTer2fqaOG8n+tfmdzq/IsCBqKiq5faofD54TwlNby9H42ZesxU6MJuO9fEpTK2iglvqSZkp/qGbUwlOXxOKmR1DwdQlB4d4Ex+ooOdZI2c5KhsfGU59mP5XJyMiQDj9PV/Lr7XU7WH7pbO5+9j2SxyZ3cASlt/TLU0el87qyCGTLKNOvr7Oc3V0/LZB/7qygMrOGiNGWBS79A/2ozvbBVG8i7flsfIICiIyIwjf01O2ypmYj9QUGGmuMfPRYBgJBqI8XSZFa3r3v0i59nnfW76SyOI9/fbyZzbsO2p2VvfZyDtn5fnxw2GD3Hsch8MHM0NRMcUUtH25NI/WkARE2jOQ5tzL7skQ01tu1FcVTjB4WQ2OgH4ffSKO2Wk9QSCCTzxxHVc5JtuR82+b7qkoqSE1Pa82HURHeZGwrRjSK1mkJ6ssaCfILYP/zR2k2NCE1GqImhlNf1EBWkWVupNKscswGybf/yMVkMiMQRPl7MzLMl5dvPr/N47elK/kVX5IOQGVxHgfMgnGn7VXpC6rTNIh0dhHIllGmCOsZT0SgjktH+rPhg2zG3zyy9Ywv/8tSAg1GJkdryKis56K7lrBx7UZYDL5h3pRt01Oyq4JQ4c1/bwrn+R+NfPTcw22O9tiehUWEBDh9vG7rbl69OpLrPviBJRP97c7K7p4dDgnT7DpGjkPgg3Go29DUzJbDJ/h63wlONvkQGJ9M0pz7mBMT3+9HlJSB7Y83zKO23gBc3Kn3vV5Zjs58atTm6Xnh3LmpHP9QGDEhgooTdeQerOVXS+bx/FtrGRGj4WiZGf8GQVyCL+HDAqg4UUfTQW9+/9BS3lr7LX+/2I9Hv2lgzd9/TqSTdTd7I79a9rv08Rd49epIFr11An21Hl9/n9OOr/Qu1WlS2pT2Uwo/FRv48HCJzbOCUB9/u+LLwCZvJsRqaDJKxkUIDn67i4nJ49n7yl4MjQbGJUYzd/p4xunyuWx8EOll1e2O9rSchdkWRTo+bhnOnj/cxJt7avjsWLPdPuJL0u32P1gLKw1NzXyzN4tNR4oobfIhdsJsRlx3O+P9O15kWVE8hU6nJSzYv+MNHWw/mHla4bV/vZacj0so/7qGpNhw/n7Tlaz8dDMTojQYjJJpcVqqTd6YtzWxu7i4dZvUzHyuGqNj5jB/rhrTzDvrdzrNkN7Ir5b9trxvXKRg5+fbuOLuxZ3+nSjdozpNSpt+/u9fdrhNYXYRLyz/DfpAM4vHevHPH5uozUvlZ/Nn8sV9loV8W86QnnGhsNH2LMy2KNLxcctw9i/nx7O3srbDkavBVFhZXF7DB1uPcii/HmNANLHjppN83Qomqo6SMsg4K7x2dCy3hANHjzM0CF6/3I+7vmigqLyIt3/7JKOGWpYVKKvS89wbazrMkN7IL9v9trxvWoI3X3z3A+dfdxFBTka7lN6jffrpp3t8p0dKD/b8TgeAA9sP8dbf3mXNfz9n//YDBAYFEjsspsf2X1NZy78ff4UJsyfh08bdZ47buPIeZwqzi/jN1U9y8PtDSH0NEf4a7jjTm7hAgVFCenEdF80Yz81Pv0F+SQUT/Uq5cJTlTNHfW0N5bRMHi42MGhbDzU+/wUUzxuHv682/P9nCaK9iLh8fQHltE//dksn8IU2nPXa2r7Mnj3Ta1pZ9duY9/c3x/FL+880h/v1tOpvydQTPup5xF15H4hnnEJkwAl0vTx08bXjY73r1AH1I5ZdzXcmv47uPsXhyokv7L6vS22WBq9u48j5Hx3JLmHHrn7l0ziR++fLHhJoruXSUF5eP8aKyUVJjkHxzoIBPt+znohnjeGf9TqcZsjOnnhdXf9er+QWnZ9hPeY0MD9dy5KSZUWeOdukzK22L8IskPmiISxmmRpr6iLMFch1nne0u2/mUFt1+mUvbuPIeWyajiSM7j/D+M+9irqujuEpPmB88dZ4Pvl4wI0HLy7ubMFecaB2W/iSvBJ1GnjY3iW1hY8udIbZnU5eO8eVf2zN59QHLXSzLpwbwj39kkxsa4LRIsq3LbW3NjdLeezyd2Wxm454MvjxQSHGDlqDYJJJm3cXcBDUJntLz+iK/HC9jubqNK+9z9MQrHxOua+Dxlz5iT+oJNCYTv5zjzcESI1PjNLywy0RDcTYT4/x4e90Ol+ZX6q38gtMzrKiqkcBQP0IrU1zKbaXnqE5TH3G2QC6LLc/3ROg4zqd0ztXzkFJaZvL+wwqCQgNP22bKBdPtHs+56jyCw4Kc7j/zSDbHt6dgOFnJ+UnR6Ooq+faWIBa+p+f+cyOZN/nUYrg/q6qmLmKSzbB0PR899zBSytMKIlsKG+9dt5s6Q5PdrbbrU/XcMFFHebWe+z/Rs3JpPD8/LwISprXeeuvK9AGuDNH3B42GZjbtTWfd/iIqzX7ETLmAUdffw0S/ztd6KEpn9HZ+OV7WarnsZVtELaU8bRtnz3WUB8dySziclsmnSwO4enUmNy86l0h9GvMmn5oq4IGKSt7YW9e635bLZ47tsb25pLfyC07PsKf/9z2JN81XheBuoDpNfcRxRm6wzDeSXpjXI/t3nE9p+6dbAE4bVbLd5qPn3mt9fPnIerZ/uoVL7ji1qG1hdhH7vvgRrb6BuSNjWbHwTKLCgrjq8Ve4aZIXk2O9CPeFV3dW8nGq0a49RrmP5ZO97AqvgTYLIi9LbuSd7/ahE+bWs6mCslo0mHltbykJQYIZL+UTHuR32ghVfx0tckVWQRlrd2VyIE8PfqFETJrH5DvORqdTq5srfae386utGzVsR5GA07Zx9lxHefDEKx9zw0Qdk2O9uGGijne/2UVEsK/dKFJNXSP+WmOn2qPya3BQnaY+4mxG7uocvWUR3G5yNp/Ste9vQ6MRvOowqtSyzdIz/HjrxWMsvHs4UkqunxbIDat3MnrmBHJ2p9NQXMHEmDBevWYOQQG+rcdqOUv71+2W4sONtwZz7ht6PvzzfXZFk0sff4HlUy1nUMunBrD4g11oNYKVbRRELp8awLrjtXz03KOnFVZazub87UasbEeoBlpBd0beSVbvyCCtxIB3zCiSZt7CuVcMjNqr/uCHl9a6uwkeR9doIuX1Y/iFnxrZaKgwoGs0tfv7ipTmDvfd1o0atkXUKz77CbOUrLkhpHWbJR+e/lxHN3g45te9M3354IieD//8yGn51dn2qPwaHFSnqY90dUZuVzibTylB18DEGC2jYiLsRpVatvFpbuSGiTo2pNRwzfQwNqbo8amvZdera3j5oSUMjwt3eqyWs7S4QMvs3XGBWm6YqOPxlz5izV/vB06dNQIseTOPlUvjifJqZFKMljHR4Xaz3tpu0zLrbUdTBUDnzy49WV2DgW1HTvDpD5mY/SMgJIFR597P3JgEdzdtUHph+QXuboLHWTg6lsdXfUHSBWFEJAZSnqMn67MSXnxwCYtmje/WvttaxLYlI8ZE+3BeQiWHS0xEBka0bnNeQtNpzznLEFtdza+22gMhgz6/Bhshpex4q05alfJ2z+90ADiw/RBfr95AaWEZUfGRLFy6oEfqAf5xz1+oKT61KKbRZMZYXcP7S4MYOzaecr2RhS/moA0IQKu1hEFVaTX1BiPNZkFooC+hfl74+2iJj45stwYo8conaG4ynPa8l7cPOZ89C8AVj75M4ckyKmobCNU1UdHkhUYa+fDaQM4aHUuZ3sicl/Pw8/ejpt5AqK6JKqO3Zeja5vi2Z3yRgTrK9EaWfFjTeobX8tzS1R3fsutpisqq+fFYEV/vP0GDVxiR42czdtb8fjvJ5F1zR/TPhjuz8yWVX0589eNR/vnZFrKLK0iKDefhK+d1u8MEp/LCltFkpqG+gR0PDCUyUMeu9GKu/0hPcFAgOmuGnayspdkECZH2dZjtZVhX8qvK6E2wv4/T9piEjgjv5j7PL1XT1LNGhY9lWtxZLmWY6jQNQF+9sY6R2T/wwHmhrc+9vLWKtITpDB05jPw9GSQG+7Js9ngmJEb3yrIZtsPS131QxpKJ/vzmorDW15//3lIsvnnXQbuha9vgeP79DVCwl0fmnirQ/O2XxRwuMbHmtgS7fTmbQdeTSCnJP1nFh9+nkVLUgAgbRvSoKSSdMWdA1CepTpPSk5x99/vye+54We38s6YQUH7Yrj3PbbEUi6+9OarP80t1mnpWZzpN6vLcAGQ7k7fZLKmra8JgMBIUsJ0r77+ajNxcHvnVciJCAjiWW8LCn73Ahpcebr2m78hxGQBXuDLrrbNicdvgcHab78nKOppNMP0Vz58+wNDUTEFpNR98f4z0sia0EUmMPvce5sQm9NsRJUXpC23d4h+Rn8qOw1l2WdQbGXb6TSp7T5s2pa1i8fY+Q3/KL8U51WkagB56+TGO7z9O5o+phBiaWHLWGGaNGYKvjxfPv7+BqpL81i+47XwlLdf0HXV2HhTHwk5ns946KxZ3LOLsj1MFGI0mvt6bybeHCilt8iEgJpHkeQ9xblSsu5umKP1GW9/959/fwLqNW+2yqKczzFlh+rrjZqf51d4M4f0xv5SOqeXMB5CUnSl8+cIaNj23mlFFpbyweBYv3bWQeZOT8PXxoqxKz2ff/cQTs7V8tvknfjySw4Gjxwn3Exw4epyMPMvZT1mVniVP/Jvy6jq7+VPWbd1NeXVdh+1oq7CzpQjS1W36Cykln24/ygOvbeamV3exuXkSI697inl3/5EZi+8kTHWYFKXbHPOrvLqudQkU2wyzza+W93UmwwZbfimdo0aa+rkTaSc4tj2FxuIKrj5zJI9dM5uQQD+n276zfifnJTQxPMjEefFN3PuXdxgbITAYJWMjROuZWkdzo3R0pubKDNz9fZburMJyPt2ZwaGCesz+4cRNnsvYG6fj4+v8d68oSvc45tfb63aw7WDGaRl27pRR7c4H11GGDYb8UrrO5U6TEEIL7AEKpJRq3nY3Ki8qZ8/nP2Asq+bsEbH8ft4EEqJC231Py1naX84xMTxMx4QwA2/+VEVQmLZ1kcq0o8fZlZLT7lwkrix068qwdH8cuk7NLWHtriyOFjXgHTOSEbPu4NzFie5uluIClV/9m2N+XZJk5MGvd1JWWW230G7a0eMUlZTx9pK254PrKMMGan4pPaMzI00/A1KB4I42VHpeyYmTpG47TE1uCaMjgvjLxVOJbmPJkxa2BZJffH+A8xKaSAzT4qvT8M7BJsZHaVkwUseYSC2Lx3qxMcvIPc++w1Wjtfxq/UlmRGvJrJBO50FxXAagK8Xinq6p2ch3+zL4fF8BVWZ/AuNGknT23cyNG+rupimdp/KrH2rJsOsXzLDLr8QwLY11NYwOh4tHerVm2DeZzRTpa/nV+kbOHxbYOreS42W0Vz7azMHj+XZ5NRAzTOl5LnWahBBDgEuBPwGP9GqLlFY1lbWk/XCU4v2ZTI4L45EZoxh92QyX329bINloMHIko5Z1RzVoNHC8zEiwj+DJc7SnFqn80URNUzkiOYzKuiaGBmk5WGjkjBeLW+dGgdMX2nVcXqA/D0/X1jWyaX8W6/fnUa8NJWrKBUy67WcDYlqAwUrlV//VkmHvf70Ls9HQml9mM5yoNFLdIHjyHI0lw2I1/PNHMw1GE5F+EkzNHE3PITvf77QFco3mvYR7NXV74V9l8HF1pOmfwONA+0MbSrdVllaRtiOFkqO5DA3yY8nUkcx54LJOnwU5Lkp57cJzmJ9Qz4Ozg8gtLmdNOtTq6xg7JJTYCMvJ9y35xewtMPJtup7/O9ebP21r5razIghImmEXIo4L7douL9AflwXIzC9l9Y7jHC2uR/iHEz1lHjPueUxNCzBwqPxys66M4thm2JUf1nHbrAj+74JQcovLSYyL4Np3ipgUo2XeZMuNFsXlNSw/w8zHKc08cY43f9qm56bpYW3n12XB3Vr4VxmcOuw0CSEuA05KKfcKIea1s90KYAXAnU/dyoXXtrmp4qChroHj+zLI2naEEaGB3DhtJDPPn2S3TWfPghwXpXznm5+IDPbl3z9W09DQSKNJ4K2Ftw6VEh3WCFjmEGkwmLhhko4hQXBGDLy5p4aJlentLg1gu7xAf1gWQEpJRl4p725JI6fKhHfsaEbNVpfdBqKu5Ndrj1/Hiivn9FELB4eujOLYZtjiMVpe/7GSDw7oaWhoxM+vgdqGZvYWwJfZlmLsk5W1NDebCPGhU/mlljZROsOVkaY5wBVCiEsAXyBYCPGelPIm242klCuBlaBmBHdFfW096T8dI2dvOpE6LQsmDOeP913qdHTD9pZZV86C2lqU8pUn7uHJF97n1ctinM5gW1alZ8mj/+T6SQ2MiNBx/SQNB2r8ePO3t53WlpbCykvH+PKv7Zm8+sBwwPVi8b5WW9fI5kO5fLnvBEavIETECMYu+gXnhkaoEaWBrdP5pWYE71mdzS84PcMen+vPF8f1RAb78+at7efXX85xPb9sFxP/ZFlw63OemGGKZ+hwniYp5ZNSyiFSykRgGfCdY+AorjE2G8k8kMkXL67hwOtfcoFG8u4dC3j5jgVcMWtMm/94258ZdTwXSMsZWqS/huPlTUT5a7hhoo57nn2n3f203NJrW2zZcmuvY1taCivXp+q5YaIOmhsAz5qvpLaukY++T+XeVzdx//spfG+ewpTb/8pZt/+BmVfeRnBYpOowDXAqv9yvs/kFzjPsqjFaQoS+R/MrMlBHlFcj58U3qTmXFJeoeZp6mZSS9N3HOP5jKt4NBs5JjuOha+YQFODr0vudnRl1dBa0/1gePzU18/reKjRCYpYCjRA0mypYfsuINvez8adUu2JxsxlK681MrE5tc36SgrJaNJjtLvOBe+YrkVKSW1zBh1vTyK6W1OPHkDPPZ9LymXj5qDWaFKWvdSW/wHmGgWRMpLbN/XQlvwAKyhrtLvO1UHMuKc50qtMkpdwCbOmVlgwgZrOZ4uxijmw+QHNpNQvHD+XhJW1POtme9maebesLnfPZs5RV6Vn8yD8IkHXUiwAWzDmTgPLD7e5n/sxxzE+od7JI5rjWx542P4nRaCKjoJzV24+RWW5CFz2SMXMfYEZ0vLubpngYlV99ryv5BadnWIFew3VTAloX/R4o+aX0P2qkqQfpq+vYuXorxtIqpiRE8Md5k4iPCun4je3o6syz76zfSZRXI9V1zUQGNPKJkwUnHffTX2a5lVLy2c40vj1STFmTN0FxIxh1wcNqfTdF8TDdyRTbDIvzhTf3mE5b9Ls/5pfSv6lOUzeVF1dwZMtBqrOLGeLvw9MLpzIsNrzH9t+VM6OyKj2fbtqF1mBg5eUBrPiiniAfX9b+45Fuz+TtLk3NRj7fmcq3KaWUG31InHkxY2+YgY+fv7ubpihKG7qaKc4yLCE8sN0M8+T8UgYO1Wnqgsb6Rg5vP8KJH44yPiaMn80ey9hF09zdrFYtZ2jnJlpmyr1yjBfbChqdzuTtydKsy5YcKaxHExBBzJkXMuW2qei8vN3dNEVRelFbGfavjzdzICO/X+SXMjCpTpOLaiprObrjCEWHc4jx1nHt9GTmPHQFGk2HNyD2uW92pZJR2MBjZ/lytLSZs4YIXt7dQMOuVACPnvX2cGYha3Zlc6y0iYCEsSTOWsF58cPc3SxFUfpQWxmW8e0eon2aPTa/lIFPdZra0dzUTNredNI37ScxJIDrp43krPsu7fHj9PSaRxefNY6Lh9QzZ/ypeqoHyqqpixh52nwpUkq3jjzp6w1s2p/Jun15NPuE4xM9ghHzHmCeKuRWlH6hN9Zsc5Zh956s5I29dbx6fZTdfE9qzTilL6lOk4OGugbS96RzfOdRInRaFk4YytP3XoqXTttrx+zpNY/aKog0yn0sn+x12ky4fT3yVFFTx4a92Ww8VECTXyTRk9WyJYrSX/XGmm3OMqymrhF/rfG0WbvVmnFKX0ITWZwAACAASURBVFKdJsBkNJF7LI8jG/fhV9/I1dOT+fO9l/TJP+JdmS23I84KIlvWW1o+1bJv25lwV/bBeksZeSd5f+sxMsuNaAIjiJsyj1n3n90rx1IUpW/0Rn7B6RnWkl+O8z3193Uvlf5nUHeasg5ncXjjPvybTcwZEc3D18/F37dvi4ydrYPUG2dLbc2EOylGy5jo8B4/ttlsJi23hPe2HiOvBnzixzB2/qOcG65m4VaUgcKd+XVZsqbfrXup9H+DqtMkpeRkXimHvt1HU0kl04dE8MZN8/Dzcc/dWF2dLbcrHIe7jSYzNbUNPDEnsMeOra838PWeLDYdKaRe+uCbMI5xV/wfScGhPfY5FEXxDO7ML7BkWEN9Ba8vGNrrx1eUFoOi01RfW8+OT7bRVFTB5Ngw/jB3AnGRwW4Z8bAtWmw5ewJY8mYeK5fGuzRbblc4Dnc///4GKNjLWaMthZauztTrqL6xiTU7jrEtvZRaEcLQqecz6Ra1bImiDESekl9wKsM6O9u4onTHgO006av17N+wl6rMIuJ8vfj53IlMvMr9NTS2RYstZ08v76wiVNfEjJfyCQ/y65MZbLs6e66UkvT8MlZvO0ZRvYZKozdJZ13M5OVnqo6SogxwnpJfoGYAV9xjQHWazGYzB77bT9YPqSSHBnD/ueMZN/8Mj6mhcSya/Oi5h5FSsvTxF3j1Mn/uXVfPR8893CdDy52dPfdgZhFrfszkeFkzfvFjGDXvIc6Mjuul1imK4mk8Kb9AzQCuuEe/7zQ1NTZxcMsBig5lE2A0sezsscy+e6Hb6pTa46xoEvDIQsZmo4nPd6ayObWU8gYISZzMyAsf5rzIGHc3TVEUN+hP+aUovaVfdpqklKT+lEba5oPE6DRcP2s0Z915MVqt583O3cJZ0WTLLf+fLAtufc6dhYy1dY2s25XOppST6DXBDJ25kAnLp6llSxRlkOsP+aUofaHfdJqMzUaO/pRGzo9p+BqauGTScB5bfj7BAX7ubppL2rvl352FjClZRXy6K5vs0jqa/SKJn76QmfdM85hLmoqiuJ+n5pei9DWP7zTlpOWStuUwhpIKbpw5mqeWn4+Pt5e7m9VpzooWC8oa2VsAX2b3bSHjwYwCPvohk+xKE/7DJjFy7v2cHaOWLVEUxTlPyi9FcacOO01CCF/ge8DHuv3HUsqnerNRhdlF7P3iR7zqGpmdFM1zC88kKiyoNw/Z69xZtFhZU8/G/dl8cyAfGRCBV8woRi/6BcPDIt3WJkXpC+7Ir4FIFV0rioUrI00G4AIppV4I4QVsF0J8JaX8sScbcjK/lEMb91FfVM74qBBWLj2HAL/BeQt7TyxAWValZ/3uLLamlmAKiCZuynnMun9OD7dUUTxen+SXcopaQFcZyDrsNEkpJaC3PvSy/sieOHhtlZ7D3+2nIi2PCdEh/OacCQyLDRv09TRdWYDSbDaTnlfK+1vSyNNrkP5hDJ16EbPmTR/0v09l8OrN/FKcUwvoKgOZSzVNQggtsBdIBl6RUu7q6gFrq/Qc2rSf8owCEvy9WTZzNGdfMFn9w27VmQUwjUYTh7OL+d/2DAr0At8hExh36RMMCw3v41YriufqyfxS2tdbC/gqiqdwqdMkpTQBZwghQoE1QoiJUsojttsIIVYAKwDufOpWLrx2XutrTYYm0n5IJWdPOkO9tdw+exyT5k1Ep9P22AcZKDpaALO+sYnPfkhna+pJ6sxeBA6fxJjFv2ZkUIgbW60onquz+fXa49ex4sr/Z+/O46Oqzj+Of84s2Reyb0AStrCJiIDgigu4IVil1F1rFWur1mp/rXaxe2sXW9da0aq4gOKCKIpCrYiAsoiAoqwhIQvZ9z0zc35/zGTIJJNkEmYyk+R5v16+JHfu3HkS4Mtzzz33XLmU3Rf99QBfIfylV3fPaa2rlFIbgIuArzq8thRYCvDK3mXa0mphz4bdFO45QoTVwmWnjOEX180ZsvOUPNHVAzAXz53Jh7ty2XyonDpDFOkz5jHlxmny2BIhesHT/GLLY3L5rg/68wG+QviLJ3fPJQCtjsAJBS4A/tLde957fDVh9Q0snjWe2dfPCcjVuQNR+7VQvipq4e299eiWRhb8/i0uXvILTjl7EibTwFtuQQh/6Ut+ib5xt5aTrNskBhtPRppSgGWOeQEGYKXWek13b/jngplyZtEHqzbu4XBBNX/6qBpzkJmw0FDMpkgizMFkTJjq7/KEGIh6nV+ib+QBumIo8OTuuT3AKb05qDRMnqlraObdrfvZdKiS0nrNSQtuY8H08xgWl+jv0oQYFPqSX6JvZC0nMRQE/Irgg01ZVR1rth5k4/4yWkLiSJ1+MZNvnIbBELjPzRNCCCGENE39Ys+hAl77NJuj5Y0QnUrqqfOZfb5cbhNCCCEGEmmafMBms/HFgXxWbDpEYb2RyMyTGXfhTxgZK48tEUIIIQYqaZq8pLy6nrU7DrP1QDEVlhCiRp/KxMXXkxUW4e/ShBBCCOEF0jSdgLKqOt769CCfHqrAEp7I8GnnMfl7M2R+khAD2O3Pfe7vEoSXBVtqefjWOf4uQwwC0jT1gsVi5evcYlZsPECFJYRGUyQZM+Yz87yTMBhldXMhBoNp1z/g7xKEl+144ff+LkEMEtI09cBisfL5wWO8+dkhCusNhI88ifELf8GoqGH+Lk0IIYQQ/UiaJjeamlt5beM3bDpUTp3VzLBRpzB24S8YI42SEEIIMWRJ0+RQ19DMyo1fs+VQBbXGaEadPp+pZ56EySyPgBFCCCHEEG+aduzP553tOeRXtdAYHMfoM77FjPMmyERuIYQQQnQy5JqmT786wts78sipthEzehqZF9zNrPgkf5clhBBCiAA36Jum8up63tt2iM9zqyiqh7jxsxg9/2pGDYvzd2lCCCGEGEAGZdN0rKyaNdsPs+VAOdbIZFKnXcSkc6cxyd+FCSGEEGLAGhRNk9aaXQfzWbklm4KqFoyxIxl+6kJOnzvF36UJIYQQYpAYsE1Tq8XK5/vzWP7JQSpaQwgfdQoTL/8VoyIi/V2aEEIIIQahAdU0lVfXs/qzQ+w6UkqlNZSoMdOZdP0tmIOD/V2aEEIIIQa5HpsmpdQI4AUgGbABS7XWj/i6sDYVNfWs3LiP7TnVtIQlkjHjIsafOUkaJSFEj/ydX0KIwcWTkSYLcK/WeqdSKhL4XCm1Xmv9tS8Kslis7DpcxCd7C9hTUIclIplRs69kxgVZGE0DamBMCOF//ZpfQojBrccuRGt9DDjm+HWtUuobIA3wWujYbDa2fJ3POztyyK9VRGeeTMbs25kVlygLTQoh+qw/8ksIMXT0auhGKZUBnAJsPdEPrm9s5p3PDrAju4KCegPxWTMYddlVjImOOdFDB4Q/33E1dXW1nbZHRERy/+MrvPYeIYRnvJlfg53klxDuedw0KaUigDeAu7XWNW5eXwIsAXjqp99hycIzOh2jtLKWVVv28+nhapqCYxl1+gKGT00nKzK6799BgKqrq2XULY912p79zJ1efY8Qome9ya/r7v0DZy+4up8rDCySX0K451HTpJQyYw+cl7XWb7rbR2u9FFgKwJbHdNv2rV/nsnp7LgVVLejoNDJmLeb0CyeceOVCCOGB3ubX0xuztbt9hBDCk7vnFPAf4But9T88OejmPdm8ue0ohfWKYeNmMOaSxWTGxJ9orUII0St9yS8hhOiKJyNNZwDXA18qpXY5tv1ca/1eV294uTid8d++ifHhstCkEMKvep1fQgjRFU/untsEqN4c9JRzF/S5oKGsuryMgpyDbrd3564Fp2Gxdb6iYDIoHn3b/ZxXmbQphoK+5Jfom/7ML5AME/4hCx/5SEREpNsJkBHdPOZF2yyUr+l8BUHbLN1+lsWmSb/jhU7bcx+/ocv3yKRNIURXAj2/QDJM+Ic0TT7SlzOdYQnJEgJCCL+T/BLCPWmavMDdMHH5sXyUwYgyGl22tx9yvv3Cqeh2r2uLhfI/LgI0wdGJzu2W2u6Ht4UQoq8kv4TwnDRNXuBumLjq4VtIWPAzQhNHumxvP+SsjUZG3PGS8+tjz99Nyk0P01KcTVjKaLfvEUIIb5L8EsJz0jT1kruzssqyEoryskkeMarL9x159HqUAm2z8f1LTrVv1NBScgRzQrr9S5sVW2szAA0lufZ9rBZsVgs/mD8TAFtrCxiNKCA2McW+zWrhyCPXYAx3XU3d1tLcZT19nbQphBjYOmZYZVkJBTkHMRqNXWaYt/IL7BmmjEaX/Mp57Hq0zeqSYd3lF0iGCf+QpqmX3J2V7Xn8dqxWa7fvUwqG//AFbK3NGMzBABQ+/yPHa23P19MoUxAYTZiik46/12B0TpTMe+5HpNz4MC0lRxg5xr5IqOng15S9+w/iF/zU5TOLV9zfZT19nbQphBjYOmbYnsdvJzh+JM1lR7t8j7fyC+wZFnfxj1zyyxSbRtGL97pkWHf5BZJhwj+kaQow9rX4cAZT25lbD29CGU2EJaa7bDYYu/7tlUmbQghv62t+GczBnTKsu/wCyTDhH9I0tePJuh/lx/Ko+PN3XF7XNislax4m7Y4nnNus9ZWUvv2XdvvYOPb83aigEJKu/pN9n9pyytY8hDLYfxtsjTUce/5uMBpJvu7vLp/RWGI/C9RWi/0Sne76SQ8FL9+PraUBm83KL26a7/b7EEIMPn3JMG2zcvSZH6JMwc4M81V+gT3DussvcGRYh/zq+H0I4Q/SNLXj0bofRhPDf7jM5fXW8nyKlt/X6Qwnfv69YHDcXWK1YE7I4NgLP3YOZyuDkfhL73Hur9EoZaD41V9R9MKP7dusFrTNhjl+hP09RhMGc1C3y/XZWho6XcLr9H0IIQadvmRYa3k+WtsoXvFzl/18kV9gz7Celhu1tTSQtPj3LvnV6fsQwg+kaWqnq1EkrJbjZzwaWsqOopQBc9xwAMyxqZ0PphRBsWmYguzD1A1F2SiDocM+jv87hqGV1QIGI8poIuXGhwFoKc6mfO2j3ReuNdpqcZ7NWWpK7fMNbFaqTGbnbnLrrxCDm7tRJKBThrWW57vkV6dxn37OL1trS6cMK1vzkEt+gWSY8D9pmtpzM4rUUnaUsrf/6jx7q3r4Fsxxw+1nZ5YWALTWoHA5w6v483c6BJGmpeQI1tpy8h67zrnVFJsKtIWRDVBoq6XdPvajFD57B2AfNs9/4ga0zYolyd6slRcXArQbTlckX/tXAIKCQ5yf1f7W376s+CuECHAdMqyl7ChB8SMpfPYOlwzT2uaaXyiXDPNVfoE9w4pf/ZVLfimDEW2zumbY9Q+55BdIhgn/k6apD5QyoFCYHWdhrS3NKGXs9j3m2OEoUxDKYGT6/a8CsP2Pi+zbHMPdbXemKIOBjDtfBDrfadIm+5k7+ePzawD4xU3zXRq2HX/+DgZzsDMU3ZF5AUIMXZ3yyxTUbYb1Z36BPcPaJpV3RTJM+IM0TX6mLa3odhf4ba3NaJvNL7XIAzCFEL0xUPJr7syJfqhIDEbSNLWjUN2OzgAYgkIofPYOrA1VGByTJG02a7u1Stpo8v99s3MfbbOh0WC1OIeUtdVC0cs/dUZO23C4tlqcw9C21hZKVv4Ki2MhuDbdDkErRWtZHtpmwWY6/lts6FSjK3kAphADm7sM09q1iTEEhVD0yv0d8ssILhfk/JhfYM+wigKX/ILuM0zyS/SHId00dTwz0Y6/9gqcEyAtHW7zmPqDx4Geh5en37/SZR93fjB/JiNv7jxJMvfxG/jXmm29/4YcgiJiCE20L1aXljHWub05Lr7PxxRCBBZ3IyvaMe7TPr86ntBN/cHjAZ1fYM8wo8nkkl8gGSb8b0g3TR3PTCr+vJiCp25Fa+vxMyyrFW2zdjpbaX+m1NcJiUrbKHz+brfbe6Pj51tqy8h9/AYMyuASMjJBUojBw93ISsWfF5PXfoTIakUrwOqaYYGcX2DPsJJXH+jUJEmGCX/rsWlSSj0LzAdKtNaTfV+S/0y/fyVAj2dYHfV1vo+3VrSV+UZCdG2oZZjklxC+48lI0/PA48ALPew3JMhkaSEGnOeRDHOSDBOi73psmrTWG5VSGb4vZWDw5mTDQFtnJNDqEcIbJMNceSvDAi0vAq0eMTgN6TlN/hZoZ3WBVo8QInAFWl50V8+OF37fj5WIwcxrTZNSagmwBOC6e//A2Quu9tahfUbOTIQQIPklhPCM15omrfVSYCnA0xuzu3+EdYAItDMlIYR/SH4JITzR/WqHQgghhBAC8GzJgRXAHCBeKZUP/Fpr/R9fFxaoZEhciIFFMsyVZJgQfefJ3XOBf3G/H8mQuBADi2SYK8kwIfpOLs8JIYQQQnhAmiYhhBBCCA9I0ySEEEII4QFpmoQQQgghPCBNkxBCCCGEB6RpEkIIIYTwgDRNQgghhBAekKZJCCGEEMID0jQJIYQQQnhAmiYhhBBCCA9I0ySEEEII4QFpmoQQQgghPCBNkxBCCCGEB6RpEkIIIYTwgDRNQgghhBAekKZJCCGEEMIDHjVNSqmLlFL7lVKHlFL3+booIYTwFskvIYS39Ng0KaWMwBPAxcBE4Gql1ERfFyaEECdK8ksI4U2ejDTNBA5prbO11i3AK8BC35YlhBBeIfklhPAakwf7pAF57b7OB07r7g3jUyJPpCYhhPAWyS+BmjULksb6uwyvmXZqK3Hx4wgKDvJ3KYNCQliix/t60jQpN9t0p52UWgIscXx5m9Z6qcdVeJFSaom/PvtEDMS6peb+MRBrDiADKr/aahlov9+BXvNZY2/rtC3Qa+7KQKx7INbcFU8uz+UDI9p9PRwo7LiT1nqp1nq64z9//nCW9LxLQBqIdUvN/WMg1hwoBlp+wcD8/Zaa+89ArHsg1uyWJ03TdmCsUipTKRUEXAW87duyhBDCKyS/hBBe0+PlOa21RSl1B/ABYASe1Vrv9XllQghxgiS/hBDe5MmcJrTW7wHv+bgWb/H30HpfDcS6peb+MRBrDhgDLL9gYP5+S839ZyDWPRBrdktp3WlOpBBCCCGE6EAeoyKEEEII4YFB1zQppYxKqS+UUmv8XYsnlFI5SqkvlVK7lFI7/F2PJ5RSw5RSryul9imlvlFKzfZ3TT1RSmU5fsZt/9Uope72d109UUr9WCm1Vyn1lVJqhVIqxN81Cd8ZaPkFkmH9QfIrcAy6y3NKqXuA6UCU1nq+v+vpiVIqB5iutS7zdy2eUkotAz7RWj/juCMpTGtd5e+6POV4tEYBcJrWOtff9XRFKZUGbAImaq0blVIrgfe01s/7tzLhKwMtv0AyrL9JfvnXoBppUkoNBy4FnvF3LYOVUioKOBv4D4DWumWghE075wOHAzlw2jEBoUopExCGmzWGxOAg+dU/BkGGSX750aBqmoCHgZ8CNn8X0gsaWKeU+tyxKnGgGwWUAs85LiM8o5QK93dRvXQVsMLfRfREa10A/B04ChwDqrXW6/xblfChgZhfIBnW3yS//GjQNE1KqflAidb6c3/X0ktnaK2nYX8K+w+VUmf7u6AemIBpwJNa61OAeuA+/5bkOcdQ/ALgNX/X0hOlVAz2h8tmAqlAuFLqOv9WJXxhAOcXSIb1G8kv/xs0TRNwBrDAcX39FeA8pdRL/i2pZ1rrQsf/S4BV2J/KHsjygXyt9VbH169jD6CB4mJgp9a62N+FeOAC4IjWulRr3Qq8CZzu55qEbwzI/ALJsH4m+eVng6Zp0lrfr7UerrXOwD58+T+tdUB3tUqpcKVUZNuvgXnAV/6tqnta6yIgTymV5dh0PvC1H0vqrasZAEPbDkeBWUqpMKWUwv6z/sbPNQkfGIj5BZJhfiD55WcerQgufCYJWGX/84QJWK61ft+/JXnkTuBlx1BxNvBdP9fjEaVUGDAX6PzI8wCktd6qlHod2AlYgC8YRCvrikFBMqyfSH4FhkG35IAQQgghhC8MmstzQgghhBC+JE2TEEIIIYQHpGkSQgghhPCANE1CCCGEEB6QpkkIIYQQwgPSNAkhhBBCeECaJiGEEEIID0jTNIQppX6ulJInqgshhBAekKZpAFNK5Silits/oVspdYtSaoMn79da/0lrfYsP6tqglGpSStUppaqVUhuVUid5+3OEEKInSqkzlVJbHFlUoZTarJQ6SylV3/YImA77f6GUukMplaGU0kqpnR1ej1dKtTieEyiGGGmaBj4T8CN/F+HGHVrrCCAO2AC86N9yhBBDjVIqClgDPAbEAmnAb4Fq7A/uvbLD/pOBibg+3y3csb3NNcARH5YtApg0TQPf34CfKKWGuXtRKfWIUipPKVWjlPpcKXVWu9d+0/YkdaXU+0qpOzq8d7dS6grHr8crpdY7ztT2K6UWe1Kc1tqC/antE9sdd6ZS6lOlVJVS6phS6nHHM6BQSj2hlHqoQx3vKKXudvw6VSn1hlKqVCl1RCl1V4fj7nB8r8VKqX94UqMQYtAaB6C1XqG1tmqtG7XW67TWe4BlwA0d9r8BeFdrXd5u24vAjR32ecGXRYvAJU3TwLcD+0jOT7p4fTswFftZ1nLgNaVUiJv9lmN/gjYASqmJQDrwruPy33rHPomO/f6llJrUU3GOZuha4LN2m63Aj4F4YDb2p1//wPHaMuBqpZTB8f54x+srHNveAXZjP2M8H7hbKXWh472PAI9oraOA0cDKnuoTQgxqBwCrUmqZUupipVRMu9deBM5SSo0EcOTLNXRuiF4CrlJKGZVSE4BIYGs/1C4CkDRNg8MDwJ1KqYSOL2itX9Jal2utLVrrh4BgIMvNMVYBU5VS6Y6vrwXe1Fo3A/OBHK31c47j7ATeABZ1U9OjSqkqoA64A/uQeFtNn2utP3McKwd4CjjH8do27EPn5zt2vwrYoLUuBmYACVrr32mtW7TW2cDTjn0AWoExSql4rXWd1rp9oyaEGGK01jXAmYDGnhWlSqm3lVJJWus84GPgOsfu5wMhwLsdDpMP7AcuwD7iJKNMQ5g0TYOA1vor7Nft7+v4mlLqXqXUN45JkFVANPYRno7HqMUeFm0NyFXAy45fpwOnOS6nVTmOcy2Q3E1Zd2mth2EPofnA60qpKY6aximl1iilipRSNcCfOtS0jONBdh3H50OlA6kd6vg5kOR4/XvYh+P3KaW2K6Xmd1OfEGII0Fp/o7W+SWs9HJgMpAIPO15uf4nuemC51rrVzWFeAG7CPsr+km8rFoFMmqbB49fArdgvWwHgmL/0M2AxEONoYqoB1cUxVmC/NDYbCAU+cmzPAz7WWg9r91+E1vr2norSWtu01p8Ah4B5js1PAvuAsY5LaT/vUNNLwEKl1MnABOCtdnUc6VBHpNb6EsdnHdRaX439EuJfsDdq4QghBKC13gc8j715AngTSFNKnQtcQdejSG8AlwLZWutcX9cpApc0TYOE1voQ8CpwV7vNkYAFKAVMSqkHgKhuDvMe9tGc3wGvaq1tju1rgHFKqeuVUmbHfzMc1/d75GjCJgJ729VVA9QppcYDLs2X1jof+1ysF4E3tNaNjpe2ATVKqZ8ppUIdcwwmK6VmOD7nOqVUgqPuKsd7rJ7UKIQYfBw3sNyrlBru+HoE9tGizwC01vXA68BzQK7Weoe74zj2Ow/w+hItYmCRpmlw+R3QfmTlA2At9smQuUAT9tEatxzzl97Efu1+ebvttdhHia4CCoEi7CM5wd3U8rhjnaY67M3PL7XWax2v/QT7hMta7PMMXnXz/mXASbRbqkBrbQUuwz6x/QhQBjyD/ZIjwEXAXsdnPgJcpbVu6qZGIcTgVgucBmxVStVjb5a+Au5tt88y7CeL3c5V0lrv0Fof9lWhYmBQWmt/1yBEJ0qps7FfpstoN+IlhBBC+I2MNImAo5QyY1+w8xlpmIQQQgQKaZpEQHHMk6oCUjh+h4sQQgjhd3J5TgghhBDCAzLSJIQQQgjhAWmahBBCCCE8YPLFQd8+8Lpc8xNiCFkwblFXC6YOOJJfQgwtmcPGcFLiVI8yzCdNU0NrvS8OK4QQPif5JcTQ0mJt9nhfuTwnhBBCCOEBaZqEEEIIITwgTZMQQgghhAd8MqfJHaUV4UQRbAhGEXhzRjWaZlsz9dSglcwDFUIcJ/klhIB+bJrCiSIqLAoMmgDMHNAQbAuGBqij2t/VCCECiOSXEAL68fJcsCE4cAMH7HUZtL1OIYRoR/JLCAH92DQpVOAGThtFQA69CyH8S/JLCAFDbCL41g3buO68m7jmnBt4+V8r/F2OEEL0imSYEP41ZJomq9XKww88xl+f/xPL1v+HD9/+iJyDuf4uSwghPCIZJoT/DZmm6Ztd+0lLTyV1ZCrmIDPnXTaHTes2+7ssIYTwiGSYEP7Xb3fP9cb3F91LVVVDp+3DhoXx79cf6tMxy4rLSExNdH6dkJLAN7v29blGIYRwxxf5BZJhQgSCgGyaqqoaGPf9hzttP/Dvu/t8TK3drF0icyaFEF7mi/wCyTAhAsGQuTyXkJxASWGJ8+vSY6XEJ8b5sSIhhPCcZJgQ/jdkmqbxJ2eRn1PAsbxjtLa08r93NnDG3NP9XZYQQnhEMkwI/wvIy3O+YDIZuft3d/KTG+7DZrVxyeKLyByX4e+yhBDCI5JhQvjfkGmaAGadexqzzj3N32UIIUSfSIYJ4V8B2TQNGxbmdtLksGFhfqhGCCE8J/klxODVY9OklMoCXm23aRTwgNa68+0hXnIit+UKIUQbyS8hhDf12DRprfcDUwGUUkagAFjl47qEEOKESX4JIbypt3fPnQ8c1lrL2v1CiIFG8ksIcUJ6O6fpKkCeEilEL+3atIf3V66jtLCMhNR4Llo8j6lnTvF3WUON5JcQfSD5dZzHI01KqSBgAfBaF68vUUrtUErt+PC1DV4qT4iBb9emPbz63Epi5oYy49cTiJkbyqvPrWTXpj3+Lm3IkPwSom8kv1z15vLcxcBOrXWxuxe11ku1WlfTyAAAIABJREFU1tO11tPP//YcrxTnbQ/+399YeOoibpp3i79LEUPI+yvXkXF5CjGjozAYDcSMjiLj8hTeX7nO36UNJZJfQvSB5Jer3jRNVzPAh7YvXnQhf1v2Z3+XIYaY0sIyojMiXLZFZ0RQWljmp4qGJMkvIfpA8suVR02TUioMmAu86dtyfOvk06YQGR3p7zLEEJOQGk91Tp3LtuqcOhJS4/1U0dAi+SVE30l+ufJoIrjWugHo9ydDVlVU88+f/YV7/vozomOi+/vjhfCKixbP4+m//AdbsJXWegvmcBOGZiO3/ux7/i5tSJD8EqLvJL9cBfQDe9e/9h6WvAOsW/mev0sRos+y9x6hVbeSckEs45YMJ+WCWFp1K9l7j/i7NOFDkl9iMJD8chWwTVNVRTXb31vPI1emsP299VRXVvu7JCH6ZP1bHzLqmhSSZsYSnR5B0sxYRl2Twvq3PvR3acJHJL/EYCH55Sognz0H9rO0y8YoxiaFcNmYBtatfI9v33a1v8sSokcd1zRprGskekyHiZRjImiqz/NThcLXJL/EQNY+wxpqGojMdH1u4lDOr4AcaWo7S7v21CgArj01yitna7+984/84Iq7OJqdx6JZV/Huq2u9Ua4QTu7WNEFB1cEOEykP1RESHuKnKoUvSX6JgaxjhplCjVQdrMVmtTn3Gcr5FZAjTW1naXER9vLiIkxcNkad8Nnarx/7hbdKFMKt9muaAMSMjiJlegLZywtR16YSPSaC6kN1HHnlGBdefqGfqxW+IPklBrKOGZZ+Tio5K4vgO4rYrKghn18B2TTt3rKTjwqbWLGn0GV7bNlOGeIWAa20sIyMjAku207+bhYf3rmd3BdLaarPIyQ8hAsvv5ArblvopyqFL0l+iYGsY4aNv3IU2qY5uDQfpdSQz6+AbJr+sOxv/i5BiD5pW9Ok7SwN7GuajJ6SwX2P/sSPlYn+IvklBjJ3GZY8LYHg8gjJMAK0aRJioLpo8TxefW4lXG5fNbc6p46ct47xne8u7vG98lBMIYS/9TXDhkp+SdMkhBe1hcT7K9dxoDCPhNR4vvPdxT2GR9vky4zLU8jImEB1Tp09uNodUwghfK0vGTaU8kuaJiG60Zezp6lnTul1ULibQM7l9u2DLXSEEP2jr6M/vc2woZRf0jQJ0YX+PHtyN4E8OiOCA4VDcy0UIcSJkfzyjSHTNJUUlvDHe/5CRWklBoPisqsvZdHNV/i7LBHA+vPsqasJ5EP1oZiiM8kw0RuSX74RkItb+oLRZOSHv/w+L374LE+ueoxVL64m52Cuv8sSAay0sIzojA4reWdEUFpY5vXPumjxPHLeOkbl4RpsVhuVh2vIeesYFy2e5/XPEgOTZJjoDckv3xgyI01xiXHEJdofdB4WEUb66JGUFpWRMTbdz5WJQNWfZ099nUAuhg7JMNEbkl++EbBN02cbtvHG8jc4lldEyohkrrzmSmbNmemVYx/LK+Lg14eYOHW8V44nBoeOkybHTRrL9re2u9x6+83zR4iIiODeRff1amKlJxMy+zKBXAQmX+YXSIYJ99rnTGh4CEXPFzHhpkyXpQNmzJzBg3f9vVeTwyW/jgvIpumzDdt4+qmlZCxMZWTmZKqO1PL0U0sBTjh4GuobeeD233LnAz8gPDLcG+WKQcDdpMntb21nxswZHFh/kAOFeQQHB2MMMTBiUYIzhDyZWDmUbscVvs0vkAwT7rnLmQOvNJD7SgnNzfbRnxkzZ7B92/ZeZZHklyuP5jQppYYppV5XSu1TSn2jlJrty6LeWP4GGQtTiR0TjcFoIHZMNBkLU3lj+RsndFxLq4UHvv8bLrj8fM6+6CwvVSsGg/aTJg1GAzGjo8i4PIUDew9y36M/4aHXHyQqLpJxV6V32uf9lev6dOye3ie8Y7DkF0iGia65y5lxV6UTFRfJQ68/yH2P/oQDew/2Ooskv1x5OtL0CPC+1nqRUioICPNhTRzLK2Jk5mSXbcMyI9mf1/dJj1pr/vKzv5M+Jp3v3LLoREsUvRToq8WWFpYRWpXIZw/tpqG0ibCEENLnpLpMmuzrbbVD6XbcADXg8wskw/xtqGaY5JerHpsmpVQUcDZwE4DWugVo8WVRKSOSqTpSS+yYaOe2qiO1pIxI7vMxv9zxFeve/C+jxmfyvYtvA+DWn97MrHNPO+F6RfcGwvBucHAwB97NIWNRMhHpodTlNnLg9Ryig2Oc+/R1YuVQuh030AyW/ALJMH8ayhkm+eXKk5GmUUAp8JxS6mTgc+BHWut6XxV15TVX2ucALLSfoVUdqSVndSG33rakz8ecMuMkPs75rxerFJ7y9XohfT0DbP++2qpaRnw7nrDUYJRBEZYaTPK5MTRvUc79+/pMphN5Hp04YYMiv0AyzJ98mWHeyK+E1Hiam5tJnhvj9QyT/HLlSdNkAqYBd2qttyqlHgHuA37Vfiel1BJgCcAtv76J8789p89FtU2WfGP5G+zPyyVlRDK33rbEq3efiP7jy+Hdvp4Bdnzf/362ldCkYFoqLWhbCyazmbQpqexdf8T5nr7eVjuUbscNQJJf4oT5KsO8lV/VOXXs/3slY8dOoqWmhebWRq9lmOSXK0+apnwgX2u91fH169hDx4XWeimwFOCVvcv0iRY2a85MCZlBwpfDu309A+z4voiUMCwNVoJig0jOTAWg8nBNpxr7elvtULkdNwBJfokT5qsM81Z+xYyOIjItlIrD1Yw5I8O5n7cyTPLruB6bJq11kVIqTymVpbXeD5wPfO370sRg0ZvhXU+GqtvvU1VezRlXT3V5vS+TszPOS2Pvq4dQJtjbeoTgCDOGZhM3/fiGE/jOhb9Jfglv8DTD/JVfAKMvHsnu5/dT9FE5zXWtkmE+4undc3cCLzvuPMkGvtvbD9Jo0IDqcVf/0Y46hVd5OrzryVB1x322/PkLCvYUMuKUNMIiQoG+T842mBXJ58YQkRZKc6mV8g21XvsZCL+S/BInxJMM83d+1Zc0Yg4zkXxuHMEJRskwH/GoadJa7wKmn8gHNduaCbYFg0EHZvBowKZotjUHZn0DnCfDu54MVb+/ch1E29j+2Je0NloxmhUNq5owGkyMmjXS41VvO545Hno3l9S5ccfDaxzEJdf45OGWon9Jfglv6CnD/Jlf1Tl1HPmggMnfG0PKSQn2nSTDfKLfVgSvpwYaINgQjArAv9UaTbOt2V6n8AtPJlse3pMDkVZG3ZhC1Ogwag43kL38GPufO0r5B/Uer3rb8cyxvryZqVNSnWd77j5bDF2SX6In/syvhNR4QoJCSJoY1+3nixPXb02TVpo6qqkL5NHjwMvCIcWTyZYW3cLYq9KIzrI/PiI6K5xR16RwcGkBD73+IAAP3vV3jyZXtj9zfPCuv9NaZoHjS+sM6bVIhCvJL9ETf+ZX2/tkPSXfC8hnz4mBxZPJj28+tZr1b31IU30TIeEhzL38fACXbZNPmUTOW3ndTrbUNk1oUhCNxc1oq0YZFaFJQWjb8X/N+nJ7sKxFIsTQ1ZcMS0tLpaCgMCDyCyTD+os0TeKEeDL58c2nVvPBux+QeX0K0WMiqD5Ux9qX3sfabGPc94Y7t+15ZTdTJp9M5fraLidbBgUHUXOogZjJkRiCFLYWTeVXtQQFBzn36cvtwbIWiRBDU18yrGxPFTlv5pB4egwjLsz0e361r1UyzLekaRInxJPJj+vf+pDM61OIGR9p32d8JGmXxpH3bimF68vIXlFISHwQcTOj2f3xHkZNyOzy8yIiIjj2YQXBMUFEZITQUNDMsQ8rsLRYuHfRfSSkxjNu0li2v7W912dcshaJEENPXzIsJN5M/OxoijaWU7atKiDyCyTD+oM0TeKEeDKU3FTfRPSYCJd9WmstKKVIvSSeiJEh1B1tIu+tEhpqGomZG9rlGZ8yKUbNG8HRdwppqmghOMZMwsxhFH9UyYxf29+z/a3tzJg5gwPrD8oZlxCiW33JsOoD9dTsb2DktxKJPzVa8msIkaZJnBBPhpJDwkOoPlTnPEsDKNtew/DLEojMtN+tFpkZSurFcdQvber2jC8hNZ7o5FDO/vkMAIqOFtNQ0UhEShgGo8H5ngPrD3Lfoz/x+fcvhBjY+pJhFbtqSbs0nuAYM8qoJL+GEIO/CxAD20WL55Hz1jEqD9dgs9qoPFxDzlvHGDdpLA/e9XfuXXQfYeFhHHw2n8p9tdgsmsp9tTQVtxCaEIS1yQYarE02zGFGDGbXP5LRGRGUFpZ1+XnVR2opWFtOxnlpLu/JO1Dg/PwH7/o7uzbt6befiRBi4HCXYd88f4S66jpnfkw+ZRJHXjnmzLDm8lbMoUaMwUbJryFGRprECXE3+dDdOiN7X2jh0NPHsFothISHEJ8cj7HeTEt5KzabxmBQNBVZiEgKdTl+xzO+jp/XUN/AiAuSSD7l+D7Z6/KxBVu6HSYXQgjonCnBwcEYQwyMWJTQbk5RHlMmn8xXL+6lqT4PFLSWagxGK/U1FsmvIUSaJnHC3K0X0nFi5aQbRlO5vtE55Lxr0x6efeR54uaEE5IURH1hMyX/rcZsCKLycE23EyDbf17bnS+V42o6rYzb24dgCiGGpo5rtsXMTeyUH5Xra3ly7aOA5NdQJk2T8DpPJlZm7z1CfWU9rRtbsDRYMYUZaaltZeLMSd3estuRrIwrhPAmyS/RHWmahNd5MrFy/VsfMvbm4S6Twyv31fLVi3udZ3OekpVxhRDeIvkluiNNk/A6T1amdbcMQfSYCOqrcrt9UCX0vHqvrIwrhOgryS/RHWmahNd5sjKtu2UI8taVEBxj7nYCpCer98rKuEKIvpL86lrB4UIqSyvtX2go2H0Eg9XmfF1rjbW6jrjIMK98XkNzK3UGA8Ehx1dMJySIlEkj7L9WijEnjSYkLNgrn+eJQd801VXXUZh9zGVbWW4JtfnlKDcPuGypqiUhyju/4Z4qq23EHB3h9rWIlBjiM5NdtqVkphA5zP3+J+qJnz/Fjs2fY7XYMJoMjB47ClOYqdNZUU1lLc898DQ3/36J21o6Djnv2rTH5Qxs8imT2PPKbrgK52NUjn1YRtZ16TSbGynMqcFkNpM8L9ZlAqQnq/cKIYamjvk1/YxTOeOS2Z1GdkZNyuxVfoHrCFHbMipjbx4+aPKrsrSK0vxSLK0Wcrbux2QwoDVYq2uJc/ybOCI6jHnpCc73jL/oFBJjIrs6pE/kl1SSXVgOQKvFyttPrcFgMlBS00DwsEgsViupU0cTFhnKyKwRhISFePXzB2TTVH6snJrKWgCKDx2jKq/U+VpTVR1J7Zoeo83GBRPSXB4AnpAczfRzT+qvck/Izv15FJdWOL/WwEebvqKl3XdUWttAkKPpstlspJ+WRViE/dbXlIxkj//QPPHzp/hi9xeMXZJG1OgwCtaXkfNpDmOuHM6MW13Pio4dOIqhMIdNb27g4pvnd3tcd2dXHW/hDQkPwaTMBCUaMUYpgoJDsTZbaW5tpiD7+O+vJ5M0PTmbE0IMLh3zq+ZwA9uf3cHX3+xlys1ZLlkwOi3d4/wC95nScRmVgZBfBYcLaW5qIXvbfiwNzTTU1JMcHoJSigijgTPHJKFQ3Lf4TMLaj+4EkOGJMQxPjHF+ff70LJfXrVYbH+48SEtxAx9s2E1Di4Xm4CBCosIYddp4YpOGMSx+WJ8/36OmSSmVA9QCVsCitZ7e50/sgc1m49iRIjSa6uIqcnYexKAUTdX1zmYoxmzi5BH2uwvmJEQw+5xJvirH76Zljei07ZLTJrjZ067VYmXttv1Yyqqw2TQb3t+BIcj+21xc00BIdDhaw4ipo4hJiSU0LIS4FPvPcsfmzxm7JI3orHAA6rIbybw2GUMYLqvVrlm+lpDKKp64IpEfrtnMmVfM6Xbkq6uzq/a38ALcfvFdtNRaCE+zN3ymECO1tRYsVotzH08maQby2Zzof/2ZX8J/OuZXdFY4ofFBJJwV5ZIFtsus7HxsJ2tvTvMov8B9pnRcRiVQ8qumooaaylqKDhZSeriQhuoGkiND0VozNiaczLhIrpmdRUZKbI/HGoiMRgPzZtgbqfmzJzq35x6r4PPsY2z/eDef1TRiCQ1mxMmZDM8awdhe/Ch6M9J0rta6rOfdemaz2pyrpB7ecZC60moaK2qIiwilpamF6cPjCAs2MSYkiN9ddy7K3XU04ZbZZGTB6cf/oCw6a3KnfbTWvLN1H5+88SWrNu2mrLqOyMgwWmpbqd5XT2NRM8MmRNBQ1ELU6DAaCpud743OiODz/V+THKa5dnkVBoPi1X+s4Jbf3dplTaWFZYRWJfLZQ7tpKG0iLCGE9DmpLivlAhi0kYK15RiDjESkh1KX20jB2nIM2ujcp22SpO0yKxZzM6bWEI6+U+wySdKTszkx5Hgtv0TgaH/JzNpqdT6WqY2lwUZIkuuIiS3UQlNLK9cuL/Aov8CzDOvP/LK0WigvqqCuup5Dm79GKUVTeTWxkWGEac2U4bFMj4tiznXnev7DHOTSU2JJT4nlijOOD7Ks3bafbW9vYX+h4tQbTvPoOD69PKe1tl8nzS0hf28u9ZW1DDMaaW5u4ZTUGILNJq7LTGbqWRMwGgwYjfJUl/6glMKM5v1v9jLp5jTiMiIoz6mj+O8VRI4JJSjSRM3BerBpDj5XADaw7lcoo4JwaGlpZtTNw0nMCKM0t5Gty7/g0/e3MfuimW4/Lzg4mAPv5pCxKNkZJgdezyE6OMZlvxHj0rClN3NsbYUzmFKmJmDIPT7Jr+1M6+VHllNVVM6w5Diu/dE1LmdgnpzNCSEGto6XsT74UQXVh+oZNj4S5finxBRmoKm4BRz/TtZV11N2uJKo1GBOvyvdo/wCzzLMF/nV2mjB0mil8NNiDBZY/dBrxAQF0drYxPSRCUSbjdy9cCZmkxGT0YDBIP+G9sbFM7O4eGYWJHt+BcLTpkkD65RSGnhKa720u503LP8fdXmlmJViYkIUY+MiuHvuyZhNxoC9TjoUrP3sax5evYEjRRVUNzSSeX4iCY7GImF0FMOnxpHzajGjrk0h8bRhtNRYKP20mvFXpDJ+YiKlh2r45D8HiBkZQv6OWvJ31BIeF0RYkolnHnyW155+g8S0hE630BpMiuSzYwhKNNLa0kpQopHkc2No3uI6gth2FpZ1eWaHW20vc9lv1KRMkkyK17+fzg/X1DN68ii3x+nubE4MKb3KLxGYOt6qX1NeS8ZVxy9jDT8zidyVxajFiuhx4dQcbqCxrIXSD2uoTLevuF2w6xjFGyqYNi8eg1GRNCqMCVcksPyRFXz83sYulwHwJMP6ml8Z49Opq66juryGw9v2k5aYxJZHthI7IZJWWomODKPmm3oe/u5CLp09iZBgc//8wIVbnjZNZ2itC5VSicB6pdQ+rfXG9jsopZYASwD+9sOF3LPkQul6A8jaz77mp6+8w6iFSZyZkci2T3PJ2VxGdHIYI6Y65ofdMp437tzK4aUFtLbaMJsNzMoYiWmniW3vHSIzORZl0WQuSkEZFdqmKfuyluriFiKygomODqK2sYKn//gfzjpvNpfddhmh4aFUl9eQnhRPa40FbdUooyI0KZiScterJZ7eart51ccsGGNgbFIwC8Y0dprM6cnZnBhSepVft/z6Js7/9hw/lCm64m5ydPZT2SRVRTv3OemqcWib5sDSfLQGo8nAjDOmO++eO1CYR3lxOemXJVKXGMK+Evtco8oyC400drtUgCcZ1l1+WVotWC1WKkoqWfXI6ww3NbH8s1aiW5v5z48f54pzpxFqNvLL2RMwzRrHZ6eM4mfPrqa0pJrwRAP//v63uXjW8WkXwn88apq01oWO/5copVYBM4GNHfZZCtjP4LY8pr1bpjhRD6/ewKiFSc6RpbjMCIKjTXzzYaGzaSrPqWPWSZl88OcfdHmcC+//FyEqjIRM+3HWvfMl465JIyI2hLFp9ltR83aVU7J+H3krwskur6W+vI6ijQbiTo0kdnQoLTaoz2l2mSDZxt2tvu3VVNayd/1mfvkd++dffWoEV7/aeTJnT6NRYujobX69sneZ5FeAcTc5OmNhCofXHiXl1OO3wI84LYWImmHOydltXJ4rNyHU5dJ99iufM+qKtG4nXlusFiwNViIyQwgyQosV6o40OTPMZrOvVTTh1Cxaa5rQ2kZ5bgmVu3P4364jUNdISkwEymqh9UgOv5kfxYTkYGqbbCxeWcOSC6YSFx3urOn0yZmkmBRvLRnO7WsamDkh3ds/UtFHPTZNSqlwwKC1rnX8eh7wO59XJrzqSFEFZ2YkOr9OHBZJc6uF6sIGbFYb5Tl1ZK8u5q9XXdbpvWVVddz24Essvf967l44h9ufeo3mECvNda00VrcQNjGUUaOOB1faSTGsfyWPT3fv5UhRBcoItYfrMYUqavbWUX+smbrcJoxWMw21DYT1YiG0tlGmuAj7H924CBMLxhj48OUPyN2X61x3pafRKDE0SH4NDu4mRydPTuTgS/k9PiAXcK4rd86lZ/Pq0yuxBVtormslOMJMVU49Uye7Htscb+Lgl4e5d9F9JKTGY2m0kftWCTETwwhPMFN7rIXizVUYmgysefAVkkLMmBxzcq+eMZao8BDiTkp3aYQA/vHyOr490czU4fYJ68ERBuaPMfCv1z9i18F8lt5/PXHR4bzw7hbmjzGQlRjM/DFNLFuzmXuunefNH6noI09GmpKAVY472EzAcq31+z6tSnhdZnIs5Tl1zpGm6PAQKnLMhGgTm363j8zkWP561WVuh4BfeHcLlUV5LFuzmQmjh2MMNpBybjTmBBO1BY0Ub6yiJjGG6Kn29aBy91VQ29JCyLwwzsxI5ItteRxcVUjD/gYszTbCY82ET4sirjCUfc+9T2FNIyo8hJQpmaRPTHcugeDOvm172VbUzIovi122t+7eSpK5iU1vbuCMb53j0WiUGBIkvwYBdzd3tJZZSMtIoXJ9Y48rZ29e9TGGwhz2bonEGGIgcU4cwQlGKnbVUVfcyMFXc0mdnkDt0Xqa6pqoKqoFpYlIN1LfWoHF0oyuNlC/10ZZjYXQKBMpp0WTUTGMl26/xOPvY8POAxSWNLP8yxKX7Ra9k1hTM8vWbOaGS09nzcfbWbnYvmjkDdPCWbxyOzfOP6NTEyb6X49Nk9Y6Gzi5H2oRPnT3wjn89JV3YCHOu+VKPqjk+R9f2+218rKqOtZ8vJ0nr4jn9jXbWbNrP5O/M8LZfFUnN2E0Gdj93lEqQxuJI5zdK3IYPy/FuU98RiQtCxKp2FDB3HuGU1dkYefKYqZljeKvN14AQEurhV0HC3jv7S1sLq/FFBXOiGmjyZyUSUS7oPjxv38G4LIiudaapT/4E/+Yb183qqmx2aPRKDH4SX4NDl0+j+3WxcSnxFFVWuXc96vP9lKVX05DUaX9VvymZj5+92POGmFk9QdbSZ2ZgCqw0ZJvJX1EDLGXhPDN2wUkZ4RhSLYQ1mqmMtvGmd8d65y68OW2MPa+lMusKxKJSDY5M2xMVmavvo+3H7oDcB2911qz+KeP8OR8e8bWN7Uwf4yBeEd+xUeYmD/G4Gyo2t4nDZR/DMgVwUXvtTVGD6/ewKai/G5HltrrOEz8l+1FXJqR4nw9OjyEcZOTOfhiIXX/PEJURBjBGJk4N825T6vFQkRiMIfym3jzF9kEmQwkBgVTVHY86ILMJmZOTGfmRPu1++q6Rr44kM87z39AQX0T4YkxZJ09mZHj7It9tp05bnpzA4DLpbgXPviMPQbd7WiUXKoTwv9KC0qpLKly2VZ1rIKK7CIMHdbnGxGaSPa/c6ipayAqMoxTJoym+YvDGLOLmJfuupzIsMwEpsydCtgviZ06O5J7zo4m6a/ZZH0rmZSE4xPIbVYbRf+rIHdtMTV1DVgNBs66JcvZMAGEJJqxtcCGJ/NpsdjcZlhvtB+9B1wy9oX/fY7JoDuNRqUWHwBwvk8u1/mHNE1DyMWzJvbqDoy2Uab2w8QPflZFSXYtyWOPh07DsUaClGbT1eFcsbKBlDHpLpcCx4xIpOhgNdEhQXxyUzK3r2ngtb/d3e2ZUnREKHOmjWXOtLEAFJRWseqzfbz72ic0m4188fFWnroynp+8/wk2Db+81r4s/tWnRvD2oRpue/IXLqNJNZW1LqNRcqlOCO9q/3irxrpGcrbud7mDurm6jsQO8xfjQ8zM6NDwREUGc8b13lmUsWOGTUoMovBABQmxkc45SOU5daQnxVJ0+CjvXxPOma80YAw3uhxnmDWUWZMyoLqGJ+eHeZRhPdX05BXxLFm9DZvWrLrGnqc3TAtnzSGb22OXVdXZR6Qco/5yuc4/pGkSXWobZWo/THz5qFDWrsjBeG2m8zLfjheymZus+O2GRi7PMrKlqpns1cUulwJ3r8jh8lGhHk1sbD90HRcdTllVHXc99ApL77+eO6LDeeilD4hJhXV7ajDU1gIG6pqjiIs4fimu42iSTAwXou9KC8tobmymPK+Mgq9yUAoa65uIDzJhMtkbjLggEycNt4/OGBX86ppzMJuM3R3W5zpm2P/NGsaSD0o5HBbC2ClJzhtgIusVl2cZ+e2GRuYmKza+cJigm8c58yt7dTGzk9IYn1DXY4a5y6/2X7cfvT8nrZIvi63ER9h/bu0vxXU8tkwODwzSNIkudTVpMTUojKZ1DWwqyidxWATmsgZOmhbExpxWTkoyUlJcxH23LuK1dbvYVJTP8PhoYhs0f7rKHgw9TWxsP3R9z7XzXL6+4dLTeXfjDlYujiU+wsTW0RYuX17LpY/n02KzP3coIiKIuJKvnE2Rp8sUCDGUVRRX0trcyoFPv6axuoH66lrig4NBQUqImYz4SCZGhnGJl0aB+oO7DAtpMHDopUKKIyrJTI7lrvPO4i/PvE5EoonKRhtnZ5j5dGcDFe9U802lfSrDL+fP5amVa/mTB5Oze8qv9iNfl47jtYneAAAgAElEQVSBl75oZOqjRc6RL7BfimvfELkb9ZfJ4f4hTVM/ar8id2ZyLHcvnOPVBcs6ntF4sk9372mbtOjO/txiLvrRI4SGh3PNZDMbcyw8eWkot7/bxOVZRt795Ate/vmN3PbgS0wdO5zwhDqPJjZ2nHg+/6ypLl/XN7tOkjxtXDL/d14opJ3Kj6+ZS3FFLcs3fsXuoir+9+J/mT7/tC6XKZDRJjEU2Ww2qsqqKc0pJv/ro9SXVDIsJJjEIANpsZF8f1waWSPiMSjlHEUCR369+V/u/tfKgMmvnt7XVYa15dfjv1vCTx97jcuzjC4Zds1kM99YDCQmxbP0vutZtmaz28nZHZcK6Et+3XFWNaSd2u2okbtR/65GpIRvSdPUTzquyF2eU2e/mw28Fjwdz3A82ceT97hz3xOvE2tqZOe+XHYpzdWTzTRZNZMTDSzb1UJ4WJ7z2G/kFXs8sbHjEPTPHn+twyTJnZiUze2x7rl2HslxUdzzrdMB+OJQIa++9F/+984nrGtt5sVdjS5nc1Gle6VpEoNeU0MzRUeOkbM7m/r8UkwoJiVGkRUbyd1zTyYsJKjHy2iBml+evq+jtvz66WOv8cX+PDY1tHTKMKMxh4nJISxbs9mjpQK8kV9d6XLUv4f3Ce+TpqmfdFyRO2F0FCy0b/dG6HQ8w3E3bNvTWZCnQ737c4v5ct9h3lwczsJX6klLiOWBS4cRH2HigRQLX9XX8u9f3sr3//C049juJ012nNjYVo9z6DorhH9tOsyTd9jvqLNPkqzltb/d61Gdp4xJ5ZQxqfzpunM5kFfKi5/s5XBtE+mnjmXyOVMwB8kznMTgY2m1UFlSye7/fgGVdYRYLJw0PJ7vzh5HwrBpfXq8VSDm143zz0Br3esMa59fV6w8zKt/vov7H3mZBy6NdGbY7poabFrz5OUR3L5me/f5Nd83+dVed6P+on/Jw+H6yZGiCuIyXOfPxGVEcKSowivHdz3DsQ/bllXVceV9/6a8ut7tPq5nQQbn7a89ue+J17lmsokpyWbGxylmJzZ2GjZ2d2xP62k71rvf1HHNZBPl1XVc+VweSqkuj9Udg8HA+PQk/njdeTx38wXMMys+ffhN1j6xmkM7D6K1PDVDDGw2m429m7/ivUdX8dFDr1H3/g4emDWOZ757AY/fehG3XTydpNioPj8P1B/5Bbj8PXe3T1fv6077/LpmsonvP/hCp0tf56S1EG9u6lU9vsovEVhkpKmfdFyRG+y3umYmx57wsbuaJFjf3NLlBMSrTw7jX08c5i+3jHB5T09nam1naf+62R6gNg0v7Wpg3dEizCZ7INtsmtKqcp7+8UiP67lhWjj//OcRcoeFs/zLZgAKymoxYOOpz0tJi1TMeCyf2MjQE1qvJDQ4iPNPGcP5p4yhvLqeNTsO8u77OwgdHs9Zi88hKCTI42MJ4U82m40vN35J3heHCGpoYv4po/m/RacTFR7q9c/yR37dOP8M56W3f73+ER9t3e2yz5UrOt+u31OGdcyv22eG8OT2cpZZop25Y7NpSitrmZwU1Kt6+iO/hP8Zf/Ob33j/qHnbfHDQgS0+IpyVb+wkONFMaLSZsiO1ZK8u5leLLmTs8ISeD9CNf7+xgXHmIs4fa18DJSzIQG5ZE29+doTnF8fzz/W5lNU0MTm01LlPfX09Tc3NHK1RzM4IIyzIQHltC7uLLMyeMrrLz7r1T8u4ILmWBVnBAFx/cgg1zTZaI9P435M/ZckVc6hvamV2bBUnpwRx/csFLJgcRWlNs9t62u8TGmRiyqmn8dyvv8eSK+bwk+su5Mb5Z/Lx9i957tvxbC4w8PbD97Lw7Kn88Zk3eXJhNP9cn8v8s08lrA/NTlhIEFNHJXPFzHGMCTby9isfs+3jPdhMBhKGJ6A6LK4nujY5cepv/V2Dt3xVuvs3/q6hO/t27GfLyx+Rv3EPl6QM444LprLo9IlMGJlAsI8uOfd3fpXXtrD5SAPrtuzkyYXR/G71AS4Za+bi8eHOfY4UV1PX2MrNpw1zeV93GdYxvyKDDNS1uMmvuBp+e2GcM5sam1vd1jNjeLDf8kt4UUQSxGR4lGHKJ5cmtjwm1zvc8NXdcwvufZzCkjKXbRW1jVyZpfjbt0byj43VvLC7BZPh+G9LSWUtVqsNGwbS4iOd21MT47u9fp6x8D5aW5o7bTcHBZOz+kGXeipqGxlmaqHKYg8Ed/W03yc2MrTT5//j5XVQ8Dn3nB3NPzba7zIBOm3z1tlabX0T//3iEK/tzCZ2cjqTz5rCsPjont84xF016cZB02G+sndZwOVXU0MTn63aTENOEedmDef6c6e43NnWH/ozvwAsNsUNJwdxz9nR/N+qo7yxXxMbeXwUraSyllYrLvkF3WdYX/MrNjLUbT1AQOWX6KPkKTDqHI8yTJqmQahtguLKxfaJjWV1FhavrO3zCrYnUsOT88NYsrreOYzevh7nZPEuVth1931cuaLG7bF88b19cSCPFzd9Q7HRyJQLp5OeNcKrxx9MpGnyjfzDBWx99WNSQoK4/fwpTMhI9ndJ/cLfGdY+v25f0+DMKndZ9MzlEQGZX6IXetE0yUTwQai7NT06TkDcn1tM5uU/52BeSZfH68ukRddVb+2TKj2ZLN7T99HVsTydxN4bp4wbwT9unsdD82cQuWMfb/7+JfZu/komjgufy9mXyxt/eBnbxj08f/NcHv3evCHTMEHXGfbEax91yiJfZFhPk7y7myze3ffQn/klfEMmgg9C3a3pAa4TENuvV7Lqrz90e7zeroPScWKnu1Vvu5os3n4Sp7vvo6SynlYrTH+i/9YrSY6L4gfzT+N2rXnpf7tZ9YeXGXXmJMZNzyKsw7O0hDgRh3YfYs87W5k5PI6Xv38xQeahGdFdrotk+5xYc4tLFnk7w9xNTH/q8RyO5Id6NFk80PJLeNfQ/Bs5yHV1Pb+sqo4r732YX5xu5I8fbeP0k8ex6+tDjIlR7Pr6EAfzShg7ItFlhd2+rIPS8QzL3aq3bdf6u1vhNtDWJlFKcf35U7n+/Kms3XGAt//9Dg1REZx99RzCo2RoXfRd7t4cdq7ewhkj4lnxg0sxGof2RQB3f/fb8uu+0+z5deP8MyirquuUYTGRYd0+ZaCnDPv/9u47Pqoq/eP458xMeiEJCTX0EnpvAkqxIAsCFlRc7IqiuNZlRX+77q7r6hZdUFwVcUVUEHVdUZoFxU6XJiAICAmEhIRAElKmnd8fk8T0TJKZ3CnP+/XypZncm3lC5JvnnnvuOdWNEN0xMqHa/HrggmZlx/h6fgnPkKYpiCxd/S1j2lrpEONgTBsrs/+2lB7NFcV2TY/mquxKrfxVGVDvTSLdWb3W31e4nTikOxOHdOdQWhbzX17LmYhQxvx6PNHNZC874b7cnDw2LPmYXrGRLLvzV0HfLNWmcn69tuobvtp5sEqGnd+/W627DNSVYcGQX6Lh3J4IrpQyA1uB41rr2veekIngPqf0Ku1vowsZ0NrCyn3FPPRRAZ3izbx8WQS3f1hIah689bd7mbfgzVoncMukxaqOnTzNP1dvJSc0hNEzxtGseWzdJwUQX58IXp/8aoqJ4Fprdn62g6zN+/n7zLEkyEhlrSrn1450O/d8FkJWzlnaxVAhw1o2j+O1K2NrnMAtGSaq8NJE8HuBfQ2rSBih/ATJ0qu0jvFmwi0mlu600ivJzNQUCymJZqb1cK3ufedTSxnbDh5ZncnQFkU1TlqsPLEy2Fe4bd8qgWdvvYS/TxzED0s+Ys3ClZzJOmt0WeIXPpNfWenZvPfUW/Q/V8DiuyZJw1SL0gx7ZtknFfKrY7yZonO5dE+AaT1CyjKsewIU5OfxyOpMxrWn2gncNU0oD/YME+5x6/acUioZmAQ8ATzg1YqEx5SfIFlUbGfPwTxW7TVhMsFPWXZiwxTzRpvZmWFnUGsTCzY6yLVmo7rGk3POSrsYMztP2CtM4IaaN9qVFW6hdWIznr1tAqdy8njklXWY2yVx/tVjMDfxmjriF76SX1prtq3ZTPGBVBbNHEd8rDxEUJfSDHtz3Sac9uKy/HI64ViOnbOFinmjTa4Ma2Vi/kYnhXYHiREaHDb2Hqg4gbtUdRPKJcOEO9yd0zQfmAvE1HWg8I7yk7Pru6nuFW8fYvqlo7m4bQH3jIzh6Mls/ncA8vLP0SM5jlYlt5JuTDvJtuN2Pj2Qz6Pnh/LEVzZuHt6cqE5DK4RITRvt1nfj30CWFB/Dy3dOZOuPaTz71HLCO7Rk9HTZpsUghueXtcjKqmfeZeaQbky5Jfh+Idc3v6DSxuDLz3HziOY8Oj6Ooyez6di6OdOXptO3pZmx/VxLMZzMzuWGAU7e/cHGw6NDeeKrfGYOia85vybHNmrjXxGc6myalFKTgUyt9Tal1NhajpsFzAJ4ae41zJo6ymNFivpfBVXelHLpR5tJjA3nxY1nKSwsosihCDXDkl2naBFfBLgehy0sdnBdXwvJMTCgJby6NZc+ORUnN1aeWFlxvSX3JosHiyEpySxNSWbP4RP8+anldBk7gP5j+xtdVtBoSH7d9thNXDi9xkPr7eien9n1zhfMv348bZKCc3X5hozilM+waSlmXt6Yw7Id+RQWFhERUUheoY1tx2HNEddk7MycPGw2B83CqFd+NfSBFxGc3JnTNAqYopT6GXgLGK+UeqPyQVrrRVrrIVrrIdIweVb5R2ZXfbGlznvupVdos4eFA65NKS3ayvMP30RyYgyfzu5A346J7HrrLxxb9TRbX/8jW1//I9vf+BO92icyo28YnZuHMqNvGO0SY3j1DzdXqeWGQa6rsEkp4ezef4jrBrhuNdwwKMqtGoNNn85tWHHfNAbm5vPe429w/PAJo0sKFvXOL081TFprvlqxgZwNO3jj/mlB2zDVN7+gaobNvSCSCIsmMTaST2d3IDkxhj1v/blKfnVPTmTJ5VFu59cNg6J4b/0mVn6+ucJrkmGiJnU2TVrreVrrZK11R+Ba4DOt9UyvVybKVF6dtq7VY0uv0BIjTfyUbSUp0sR1fSzc+dTSOlfgrjzZsvTR3sq1lE6sXL0vn+v6WMBWCMgKt7VRSnH1mL4svvViHF/sZPVz75N3Jt/osgKaUfmltebjRau5qk08T10/Pqg3f65vfkH1GXZ5iplmKt+j+ZUYbSEppIgxbayySrdwi6zT5OOqW5228sqzlX3/YyqbrTZe3nYGk9I4tcKkFDbHaW64sXONX+eTzfsqTBZ3OuFUgZM+Z/fVuD7J8aw8TDgr3OYDWa+kNrFREcy9YhSHj2fx9MurMXVpw4gpI2WyeIA4k3WWz57/gN9cPIDRvTsYXY6hGpJfUH2GgSYl0Vzj12lIfgEczyqqcJuvlGSYqI5s2OvjKq88C7i1M3bWmXymPfAvovQ5ClQUl4waSFT27lq/TkPfSzTO+u9/4qXPd9P/yvPp0q+z0eU0iK+v01QfjVmn6XRmDt++tJqXbp9AVESYJ8vyS43JlPIZdjzfxDX9o/j9RfE1fh3JL9Fg9VinSUaafFxDV55duvpbkkKKOHvORmJUEf/9bBsWk5ZVbn3QhQO7MqZvJxZ8uJH3P93OpXdeRnik/ML1N9np2Wx6ZS0v33EpEWHylCQ0LlPKZ1jrcHh1q4OVP9pq/DqSX6IpyEhTACq9QjMXn2XRZZHM+rAAZ1gz3v/XA/IYrY9LzzrLg298TrdLh9JjWA+/mQsT7CNNp46fYvuST3hx1gTCQkO8UVZQkQwTTcpLK4ILP1F6hTY1xbVS7tSUEBJDiqpdyVv4ltaJzXjz3qm0OZLO+/98m9zTuUaXJOpw8lgGO5Z+ykt3XCoNk4fUlGH/frfqSt5CNCVpmgLQR5v2sfNEIcOTFXtP2RierNh5opCPN+2rshmv8D1KKe6YOISF00ez+aXV7Px8B14ZERaNln7kJD8s+5wXZ11KaIjMdvCUmjJsxadbJb+EoaRp8gGeHv2ZMLwnc85PYlSvZHp1asOoXsmuj/t3qbJeiow8+a6k+BgW3zWJPrn5fPjMuzjsDqNLEuXYrDa+eHUdL9w+gZAgfvLRGxlSXYbNHtUch91aZb0nyTDRlOTSyAd4es+jmiZE2vV2bugXUmUlXNlvybf9emw/BnduzR/+/Dq9Jo+gx7AeRpcU9KzFVlY//S7P/nosliBumMA7e7ZVl2G554qINNurrNote8aJpiRNk8HKr5brqT2PPnh6TrXvc/XcBRVWvZ22bBNmk2KR7Lfk83q0T2LZvVNZ/Ml2Pt7zM2OvGy/72Bno8zfXM+/iAbRvlWB0KYbyRn5B1Qwrza/K6z3JvpeiqcntOYM1ZLXcxrxPdSvhevu9hWdYLGbunDiU+wd0ZPU/3yEjNbPuk4TH7fpyFxfERjCge7LRpRjOyPya3NVUad9LyTDhfdI0Gai6fZC8tefRhu0HWLa7mCHPZzLk+UwGPHuSnScKmdQVr7+38Ky+Xdrwwo3j+fndLzi045DR5QSVooIijq7/nhsvHGB0KYYzMr+GPJ/J0h2F7D3ws+wZJ5qUNE1NrPykxdKrJ4ArX01FKeW1q6UPnp5TtrHl1tf/yA2TRjPn/CSGd28FyH5L/iYhNopnbr6EkJ0/8cniNfJ0XRNZ9/wHPH3jhZhMwRmdvpJfpRl2x8gE2TNONCmZ09TEyk9aLJ3suPDbM8RZrAx9Lo2EmIgmWcFWVs/1f0op5k47j2/2HuOfj7/BhLsuIy4xzuiyAtbWtZuZ3rs9rZrHGl2KYXwlv0AyTBhDmqYmVHnS5Dv/uA+tNVfPXcALkyOZvaqAd/5xX5NMZKxusrjwT6N6tWdAp5bc+eJqzrv9VyS0jK/7JFEvNquNtI37uOL+aUaXYhhfyi+QDBPGCM4xZoNUN2myqSZSisAWFRHGolkT2PvGp2xft8XocgLOllUbuefSwX6zrY03SH4JIU1Tk6lu0uR76zex8vPNMpFReEREWCgLb5tAt7wCNq/aaHQ5AcNaZOXUrsOM6tXe6FIMI/klhIs0TU2ktkf+ZSKj8KTbLxlIP5uN7977GqfTaXQ5fm/TB9/x4K+GGl2GoSS/hHCROU1NpLpJi8ezith2HNYckYmMwrNuGt+fxC0HWPrX5Ux68CrCIsKMLslv5R5IY8iEgUaXYSjJLyFc6myalFLhwJdAWMnx72qtH/N2YYFGJi2KpjZ5aHcGd2rJvU+/y68euJLwyHCjS2pyjc2vQ7sPM6Zra2+V5zckv4Rwcef2XDEwXmvdHxgAXKqUGuHdsoKbbEApPKV1YjOe+/UY1jz9LoXnCo0uxwiNyq+DX+1h2nmy1199SH6JQFZn06Rd8ks+DCn5R1bS86Lya6EI0VgtE2L59w3jWffMfzmXG1y/yBqbX87TuSTGRXultkAl+SUCmVsTwZVSZqXUDiAT+ERrvcm7ZQWv8muhyJMowlMS46J58aaL+GT+/8g/m1/3CQGkofllt9lpHh3h3eICjOSXCHRuNU1aa4fWegCQDAxTSvWpfIxSapZSaqtSauuilXKF0VCy7onwlvjYSF669WLWP/s+uadzjS6nydQ3v9a/swGA3V/vZtqATk1brJ+T/BKBrl5LDmitzwAbgEur+dwirfUQrfWQWVNHeai84NKUG2CK4NQsOoJFt17CF89/wJmsM0aX06Tcza8Lp491vejUNIsKvsnzDSX5JYJBnU2TUipJKRVX8t8RwEXAfm8XFoyqWwtFrtaEp8VEhbPo9gl8+uz7Ab+OU2PyK+PHNNokNfNmeQFF8ksEA3fWaWoNvKaUMuNqst7WWq/yblnBSTagFE0lKiKMeVNH8MyC/zHpN5djMgfsOrcNzq9QDS3iY7xaXCCR/BL+RmvNR9t+4lhYHrPuGOPWOXU2TVrrXUBwr+zWRGQtFNGUBndtw1yT4m/z/8vk+64MyMZJ8qvpSH4Jf5KZk8f/Lf+SyF4dmHnVeLfPkxXBhQhi/Tu35iG7k+de+4gJt0w0uhyfYjObyDidS8uEWKNLEUJ4iMPh5JmV37E9K49xd04mNj6mXhtxB96lpRCiXgZ1b8vw6Ai2rtlsdCk+pUW3NqRnBc9ThkIEup/STnHtgpXYhvZg6m+vJrYBt99lpEkIwZ0TBvHXt7/kyN6f6dSro9Hl+Awt6/gK4fcOpp5i/tpt5EVHMPX/fo0lpOGtjzRNQggAfnvFKO56+SPCI8Jp3amV0eUYrn2vDry/8lsGdm9ndClCiAbIPVfIwrXb+LHIzvmzJhHdLKrRX1NuzwkhAAixmHnh9gl8tWQdNqvN6HIM17x1c47I7Tkh/I7Wmjc+3cHNS9YTcdEgJt49xSMNE8hIkxCiHIvFzDMzxvLovz/ksvuuMLocQx3ec4SjGadxOJyYvfBkYbHVxvYDaR7/up7WKiGWTm2aG12GEHWy2x28/vlO1u1Lo8vYfky/8gKPv4c0TUKICjq2TmBS55ZsXvktw6aONLqcJndgx08s//s7hIXFktylL0s+3sGtEwfVeHxBkZUfj2UAkFdg5YNtaZhMrqdxnE5Ner4mIrbqIplWq524HiOxhIZ55xvxkLN7fkAVHjO6jHopys2hdYy5Xk9FAYSa4fJhHct+fuW1jI+VxU59VLHVxmuf7eLj/an0njiUy68a67X3kqZJCFHFdWP68v3S9aQfPkHrzm2MLqdJffDvz7j6vqdJ7tITgC8X3seMcVaOnjxN5plzrN6eSmGxjXwVTUhYGEVWB3Hdh2FSJrRSpMy4g5ByjVCKUd+Ipwx1b9G/QJB3JpvX92yp9nNnN+0jxH6owmu23GxaxIYCoNBMP68zkeGuj7u0TSS0EROORd0Kiqy8un4Hnx08wcBpI7nqmnFef0+ltReeDvn2OXnkRAg/V1Bk5YaX1jJt3ow6nza5tveN9buk92Evf3m4Qn7t/3oVp37cQrPOAzBZQuk18lJMZrNR5QkfVVxYwIFNn6DROB1Ocg9/T1R4CEW5Z+jQPAytNVOHdaRVQgxtk+KMLtevnSss5qWPt/NdahaDLx9Fx0Y+8dstoQeDWw93K8OkaRJC1OiL3UdYkXqaC2bUfgUXyE2TEI3hdDpx2G047Hb2f7OGgpxMQgsysNtstI3WjOrZmv6dWpAUF+2VuXOB5Mejmfxnwy6OFtkYPHUk7VI882RrfZomvx87tNkdnCss9up7REeEYbHIlaUIPmP6duLTPcdI+zGVZA8FlBDBxGQyYQoNIyQ0jAEXT6/wuYL8PD7a+TX/3XCCopM7iTHb6dkmhqtGdadlQv1Wqg5UdruDPT9n8ML6ndgSYhh54yUMbBZtWD1eaZqKiqt/XPnrH1I5knG2xvMOpOdSpCLq9V6nz1mJTGpfr3PqQ2tN0amjxEeH1+u8KFVIl5Y1b7+QkpzAsO7VzxUJC7XIXxbhM/50zflcu3AVyb+faXQpQgSUyOgYeo76Zfsia3EROafSeXjth+icbfRsEcaIHm0Y069D0P1OsNrsLPtiN6t/OEbLXh05b840wiONf2jCK7fnbp59j67uB9wsuRstuvSv8byI6BiiYgLj6YT8szkUFZyr8fPp+7eSn/FzldcdTif6zAniYyo2j9aiQkZ0icds+mX4NjoylKnnpQTdXybR9FZtPsD6AivDa3iaTm7PCeF5OZnppP2wiZy9X5PSIpTpo7uT0i7J6LK86pu9x3h/60FSi2z0GNOPlKHe/x1n+JwmCR3Ps1mLyUqvuKZLbmYqGXs3VjgmTp0jPMz19IZ2OukQZ6F9kmsoMzYylIsHd5UmSzTI9QtWcuFDV1d7tSdNkxDedTrzBPs+fw+VfZiLeidx3fi+AZPlRcU2nl29mV3pOST26USv0b2JbcKNsqVpEmUy0o5gLSwEIDfzGDk/fY9SoDXo/FMkxrpGtBIjFP07xgPQKj6KwTJ/RVSScTqX37zzDZfPvabK56RpEqJpaK35cesGjn/3IRf3jOfmCQMwmfxvArnWmre/2MPavUexhocxYNIw2hu0ZZE0TaLestLTyD19CoAzaT9SlHEYAHueax0SraFnqwi6tXJ1/8N6dShbj0QEj7+s+JKoiwbTunPrCq9L0yRE0/tp53cc/eIdxnaP45YJ/X1+XSib3cGG7Qd5b+fPnLY76XxeT/pd0M/wETOPNk1KqXbAUqAV4AQWaa0X1HaOhE5gOnbgBwrP5eGw28nes4EQs6I47zStYkNwOBxM6NuKuKgw2iQ2o32rBKPLFV6Qd66I217/nMt/V3G0yVebJskvEQyO7P2ew+te4dGrBtG3c0ujy6lix4E0Vmw6wMHTeXQd049eI3oSGuY7F92eXnLADjyotd6ulIoBtimlPtFa721UlcLvtO/e+5cPho6u8DmH3c7H33+DPuskd/cPmIqOurYyiLUQFWpmytD2hIVY6NWpNcJ/xUSFMzAxhiO7D9Opb2ejy3GH5JcIeJ16DaRDygL+9c5z9NpxlIeuGGZoPU6nk20/prLsux9JL7KRmJJM3xnj6d+86eYpeUudTZPWOh1IL/nvPKXUPqAtIKEjypgtFnqWbrcwvOJCiDmnTvLajzsoOHMKx/ot2K1W4syFtGwWyeUjOhMWYqFz20QDqhYNMfeKkcx8YY1fNE2SXyJYmMxmzrv2Pg5v+5ybF7zP/FvPp1l0/ZbwaQyrzc6mfaks+2YvZ5WJFr3bM+COyQyPrN9yPb6uXjdAlVIdgYHAJm8UE0ienDOD/Py8Kq9HR8cwb+Fyj53jD+KTWhGfdGmV10+fTOPfe7dQcDYL09nN2Aty6dA8nAGdEhnQKYnkpDhZVNQHmUwmhrRJ8KfRJkDyqz4kv/xX58HjaNltIHcu+iPP3zaShNgor73XqZw83v1uPzuPnSLfbKZlnw6MfuhqzAGc2243TUqpaOC/wH1a69xqPj8LmAUw88G/cMGUGR4r0h/l5+fR+bbnqrx+ePE9Hj3HnyW0SiahVXLZx6BOzRoAABUJSURBVE6nE4fNxje7vmXdluMUpG7EjJ3O8RZG92pDz3bNZZVcH3HPZcP5tZ+MNoHkV31Jfvm3qNg4RtzyOHe/8geeu3kEiXGeWUHbbneQmZPPO9/t4/vjpyEump4X9GX0VWPq3J8yULj1XSqlQnAFzpta6/eqO0ZrvQhYBDKRUjSMyWTCFBZG96G/3N7TWlOYn8f72zfw5sEM7Jk7ibHY6NU2litHpZAQEymjUQYIsZgZ07EFB7YdoPvg7kaXUyvJLxGMIqNjGHnr48xZ/AcW3DSUlg1c9+hcYTH/27if7T9nklFsp1mHFnQe2ZtLOrbGFIR75dXZNCnXZf0rwD6t9TPeL0mIXyiliIyJpc+YKWWvFRcWkJlxnEc+Xk9R5g6iLTYGdYjj0kEdaZPYTJqoJjJ70lCufnGtTzdNkl8imIVHRjP69r8w54WHWfbARYS4kY12u4Mj6adZ9s1eThTZyXM66XlBX3qPH8QwL97q8xfujDSNAq4HdiuldpS89ojWeo33yhKiZmERkbTp2I02HbsBYCsu5tSpdP60YS0Fp/YSa7EztEMM147tQ7QP7FUUqEwmE91iIsg+eRp61328QSS/RFALi4ik37TZPPTKYv51+9hqF8I8nXuOVVsPsulwBll2J/HJifSdOooUWTqmCneenvsakEkkTeBsdhbHfz5Y7eu1+c2U4didVe8oWEyKZz+ofs5rIE3aDAkLo0VyR1pcNRtwzY06+tM+7lqxGtvZTLomhjB1aCeGpLQ1uNLAc//kocz93zdw4f1Gl1Itya+m05T5BYGVYd7WqnNPTh8fx5otB5k8vDvFVhurtxxg46EMjuUVEJYQS+/x/Rk6YRjhAfa0m6cFx8wtA0RHx1Q7ATI6OqbGc7TTTvaqqncQtNNe63vZnZoOc5ZWef3owhtqPCeQJ22aTCbad+9dtq7UmexMXt26nn9+upEYnc/FvVswaUQKUREyCtVYLeJjcGRXmVct/Jyv5xcEdoZ5msNu58SxIzz4+SqWbe2OJTaKzuf1oOuI3gxqwj3eAoE0TV7SkCuduKRWEgJeENe8BQMmuJ6GcjocbN2znZVL1xFWnM1FfVoyY1zgbHxphHEpbYwuQXiY5Fdgyc44zher3uQPrz9CQst4o8vxa9I0eUB1w8TZ6WkokxllrjjxrvyQ8+wJA9DlPq/tdrKfuArQhDVrUfa6Pa/24W3hPpPZTLf+Q+nWfygAWzZ+xocLPyHeXMSNY7sxvFcHgyv0P5cN9d2J4KJukl+Br0XbDjSLa05YhO9sXeKvpGnygOqGic/Mv42kKb8jokX7Cq+XH3LWZjPt5rxR9nH6kvtofdN8rBmHiWzdpdpzhGf1GjGeXiPGY7fbeGXtcp795HNGdY5h6oiutE2KM7o8v5AUX/MtG+H7JL+CQ+eeA/lu9SYumjHe6FL8mjRN9VTdVVlOViYnUw/Tql3NC/0defZ6lALtdHLnrwa7XtRgzTxCSJJrdEM7HThtxQAUZB51HeOw43TYuWuyay8hp80KZjMKSGjh2sfN6bBzZMF1mKMqDrs6rcU11tPQSZuBymIJYehlrnBPPbiH/1v3CSE5m3j4ysGyxYsIKJUzLCcrk+M/H8RsNteYYZ7KL3BlmDKbK+TXz89dj3Y6KmRYbfkFkmH1NW7GHJY8fos0TY0kTVM9VXdVtmvhbBwOR63nKQXJdy/FaSvGFOKagHxiyb0lnyt9BFSjLKFgtmBp9stO1cpkLpsomfrqvbS+cT7WzCO079oTAMvBvWStfobEKXMrvGfG8nk11tPQSZvBoF23PrTr1oeignz+vHIxYWe/5/7L+tGjg+/tHi5EfVXOsF0LZxOW2J7irGM1nuOp/AJXhjWfeG+F/LIktOXk6w9WyLDa8gskw+orPqkVFrM8GddY0jT5mNIJyaXBVHrlVsdJKLOFyBYV5+OYzDX/eGXSZt3CI6MZNeM+iosKeWrlYsJWfcrsCb0Y0FUmPgtRnYbmlykkrEqG1ZZfIBnWEMpkIfWnNNp1Ta77YFEtaZrKcWfdj+z0VE4/eU2Fz2ung8xV82k75/my1xzncjj1wd/KHeMkfcl9qNBwWs74q+uYvGyyVj2NMrl+DM7CXNKX3AdmM61m/rPCexRmuq4CtcPuukWna97p4fib83BaC3A6HTx60+Rqvw/hvrDwCEZdcw/W4iKe/XAJoR9/ypMzRxIfG2l0aUJU0JAM004HxxbfjbKElWWYt/ILXBlWW35BSYZVyq/K34eov+R2XTl1PEuapkaQpqkct9b9MFtIvvu1Cp+3ZadxctnDVa5wEic/CKaSp0scdkKSOpK+9P6y4WxlMpM46YGy4zUapUxkrPg9J5e6FgvUDjva6SQksZ3rHLMFU0horcv1Oa0FVW7hVfk+RL2FhoVz3lV3kns6i9tffZrLesZww8X9ZLkC4TMakmG27DS0dpKx/JEKx3kjv8CVYXUtN+q0FtDy6scr5FeV70PUW4tO3dnz1UYGjRlgdCl+S5qmcmoaRcJh/+WKR4M16xhKmQhp7urWQxKquV2jFKEJbbGEuoapC04eRlVevr40OEqGoZXDDiYzymyh9Y3zAbBmHCZ77bO1F6412mEvu5qz555yzTdwOjhjCSk7TB799YzYhEQuueuv7Nm6gRvnv8fTN42SJ8iET6huFAmokmG27LQK+VVl3KeJ88tps1bJsKxVT1fIL5AMa6y+Yy7jh3+sNroMvyZNU3nVjCJZs46R9cHfy67ezsy/jZDmya6rM7sVAK01KCpc4Z1+8ppKQaSxZh7BkZdN6nMzy161JLQBSsPICSi0w17uGNdXOfGfOYBr2Dzt+RvQTgf2lq5mLTvjBEC54XRFq1//HXCNjpQq/+hvQ1b8Fb9QStF96Dja9x7Kb157gmuHtGTqed2MLksEu0oZZs06Rmhie078Z06FDNPaWTG/UBUyzFv5Ba4My1jx+wr5pUxmtNNRMcOuf7pCfoFkmDCeNE0NoJQJhSKk5CrMZi1Gqdp3jw5JSEZZQlEmM0PmrQBgyxNXuV4rGe4ufTJFmUx0vOd1oOqTJqUOL76HJ5asAuDRmyZXaNi2PnkNppCwslCsjswL8IzwyGjGz36SdauWYP1yH9Mv6Fn3SUIYrEp+WUJrzbCmzC9wZVhdt70lw4QRpGkymLbb0OVu8DttxWin05BaZAPMhhs0+SY2rH2D4s9+YOb43kaXI0STkPzyL7qOCfiibtI0laNQtY7OAJhCwznxnzk4Cs5gKpkk6XQ6yq1VUkqT9uItZcdopxONBoe9bEhZO+ycfHNuWeSU/u+sHfayYWinzUrm27/HXrIQXKlah6CVwpaVinbacVp++RGbqtRYkWyA2TgDJs7ks/depsueI5zXp5PR5YggVF2GaV2xiTGFhnPyrXmV8ssMFW7IGZhf4Mqw08cr5BfUnmGSX3XbumY57VLaGl2GXwvqpqnylYku+WuvoGwCpL3SYx4D7loI1D28PGTe2xWOqc5dk4fR/paqkySPLryBf6/aXP9vqERodDwRLVyL1bXt+Ms8m+LmsrK1tw297EYWLH6MtklxtJeNMYUXVTeyokvGfcrnV+ULugF3LfTp/AJXhpktlgr5BZJhjZV7Kp3eF3Wp+0BRo6BumipfmZx+8mqOv3Q7Wjt+ucJyONBOR5WrlfJXSg2dkKi0kxNL7qv29fqo/P72vCyOLrwBkzJVCBmZIOl9lpBQhs34Lc+89wTzZ8l2BcJ7qhtZOf3k1aSWHyFyONAKcFTMMF/OL3BlWOaKP1RpkiTDGiczI41hsdI0NUadTZNS6j/AZCBTa93H+yUZZ8i8twHqvMKqrKH3yz21oq3cr/ctMXEJnLDFUFRsIzwspO4ThFcFW4ZJfomaFBflkzKwu9Fl+DV3RpqWAAuBpXUcFxRksqFwR7cLprLiy7XceHF/o0sRkmEVSIYFp/yzOVithUaX4ffqbJq01l8qpTp6vxT/4MnJhr62zoiv1ePPouOSsKYZ8xSRqEgyrCJPZZiv5YWv1eNrNq56nd4jUowuw+8F9Zwmo/naVZ2v1SOE8F2+lhe+Vo+v2f3deubMv8XoMvyex5ompdQsYBbAzAf/wgVTZnjqS3uNXJkI75H1UPyJ5JcIZDmnMkDZSGiZYHQpfs9jTZPWehGwCODlLw/7xW8MuTIR3nJo4zquGCE7ifsLyS8RyFa99DgTb7rY6DICQu2rHQoh6s3pcHD2yE66J8uaMkIIY9msxRw7vJf+Y/oZXUpAcGfJgeXAWCBRKZUGPKa1fsXbhfkqGRIXddnxydvcOq5rnXtniaYhGVaRZFhweW/hY4yYMJDQsFCjSwkI7jw95/s395uQDImL2pw+mUb4iS1cOvlCo0sRJSTDKpIMCx4nj/7E8SM7ue2JR4wuJWDI03NCeEjWiaMcWvkMz98xzuhShBBBTmvNsn88yLUPXWl0KQFFmiYhPCAj9RBpa57jhdkXEmIxG12OECLIbV77Fm06J5AyWNZm8iSZCC5EIx3dv5MT6xay8I7x0jAJIQx3bP/3bFj5Ktf97hqjSwk4MtIkRAPZbVa2r1pCT1Mqf5o1HrNZrkGEEMYqLipk+TPzuPPvtxAVG2V0OQFHmiYhGuD4gd3sX7uYuyekcH6fEUaXI4QQALz48Eyuvn8KyV3aGl1KQJKmSYh6OJt9il2rX6F7ZB5L5owjPCzE6JKEEAKAt//1O9qntKDf6L5GlxKwpGkSwg1Oh4ONK+YTV5jGP6YPo2VCrNElCSFEmWV/f4DIZkVc/8h1RpcS0KRpEqIWNmsx21cvxX58D3Mv70+vDj2MLkkIIcporXnjyd+Q0Fpx7UOyJJm3SdMkRDUyUg+ze/V/aGk5x5wLezJg+iVGlySEEBVorXnt8bto1Tmc6fdeYXQ5QUGaJiFKOJ1Odm34gNP7vmVgm1BeurE/cTGRRpclhBBVaK155bHb6dQ7nml3TTG6nKAhTZMIeod/2MaRr98nxpnHFcM6MPHeMUaXJIQQNTp14hivPHYboyYP5Ve3XGp0OUFFmiYRdLTWpB3az+FvPsCSn8HwLs14/I6hWGRhSiGEj/vyv4v5Zt0KfjP/Dlq1b2l0OUFHmiYRFBx2O6kH93Lom/eJsJ5hZNc47p/ek/jYPkaXJoQQdbLZrCx9/G4w5/HnFY9gCZFf30aQP3URsPLP5nB463pOHf6BGGcuo7rG8/ub+8naSkIIv3Jozxbenv8ok24ez8jLRqKUMrqkoCVNkwgYxYUFnM44wU9fryS8OIu4EDvXDu/CkHH9CQuVRkkI4V+KCgt4//nHyEjbx0MvziGhZbzRJQU9aZqE3youKiTzyH7S92/FlnmIGIuNHm1iuWtaDxLjZD0lIYR/0lqz/bOVfLz8eUZNGsLtT/7O6JJECbeaJqXUpcACwAws1lo/5dWqhKjE6XRiLSpg/7frOJd9ktDCTMLtefTvmMjscZ1o1Xy0DFmLakl+CX+SfvQnVjw9l7ikMOa+fC9xic2MLkmUU2fTpJQyA88DFwNpwBal1Ada673eLk4Et9T9O0g/sAOdfRh7YT4dEsK4eUh7Wg+Op21SJ6PLE35A8kv4i+LCAl7/6xxyz6RzzYNX0mNwitEliWq4M9I0DPhJa30YQCn1FjAVkNARHqG15sDWryg4k0nBsV04is7ROsZE99bNuH5oW7q1G250icJ/SX4Jn1Z4Lp//LniU40f3MfGGCxk15WajSxK1cKdpaguklvs4Daj1t1hiTGhjahJB4NsPl5OReogIaw5REWFc0KstnfrG0/eKSZhMJqPLE/Vgtdnx4b/xkl/CZ3279l1Wvv5vfjXjIuYtvF2mGBgkMiTK7WPdaZqq+ynqKgcpNQuYVfLhHVrrRW5X4UFKqVlGvXdj+GPdjan58oG/9XQ5bgm2P+em4OMthl/lV2ktvvzzro7U3DCXD7yPfzxyX73O8YW668sfa66JO5f0aUC7ch8nAycqH6S1XqS1HlLyj5F/OLPqPsQn+WPdUnPT8MeafYW/5Rf4589bam46/li3P9ZcLXeapi1AN6VUJ6VUKHAt8IF3yxJCCI+Q/BJCeEydt+e01nal1BzgI1yP7P5Ha/2D1ysTQohGkvwSQniSW+s0aa3XAGu8XIunGD203lD+WLfU3DT8sWaf4Wf5Bf7585aam44/1u2PNVdLaV1lTqQQQgghhKhEnu0WQgghhHBDwDVNSimzUup7pdQqo2txh1LqZ6XUbqXUDqXUVqPrcYdSKk4p9a5Sar9Sap9S6jyja6qLUiql5M+49J9cpVT9nvU1gFLqfqXUD0qpPUqp5UqpcKNrEt7jb/kFkmFNQfLLdwTc7Tml1APAECBWaz3Z6HrqopT6GRiitc4yuhZ3KaVeA77SWi8ueSIpUmt9xui63FWytcZxYLjW+qjR9dREKdUW+BropbUuVEq9DazRWi8xtjLhLf6WXyAZ1tQkv4wVUCNNSqlkYBKw2OhaApVSKha4AHgFQGtt9ZewKedC4JAvB045FiBCKWUBIqlmjSERGCS/mkYAZJjkl4ECqmkC5gNzAafRhdSDBj5WSm0rWZXY13UGTgGvltxGWKyUcn8Net9wLbDc6CLqorU+DvwTOAakA2e11h8bW5XwIn/ML5AMa2qSXwYKmKZJKTUZyNRabzO6lnoapbUeBEwE7lZKXWB0QXWwAIOAF7TWA4FzwMPGluS+kqH4KcA7RtdSF6VUPK7NZTsBbYAopdRMY6sS3uDH+QWSYU1G8st4AdM0AaOAKSX3198Cxiul3jC2pLpprU+U/DsT+B+uXdl9WRqQprXeVPLxu7gCyF9MBLZrrTOMLsQNFwFHtNantNY24D1gpME1Ce/wy/wCybAmJvllsIBpmrTW87TWyVrrjriGLz/TWvt0V6uUilJKxZT+N3AJsMfYqmqntT4JpCqlUkpeuhDYa2BJ9TUDPxjaLnEMGKGUilSu7c8vBPYZXJPwAn/ML5AMM4Dkl8HcWhFceE1L4H+u/5+wAMu01uuMLckt9wBvlgwVHwZuNrgetyilIoGLgTuMrsUdWutNSql3ge2AHfieAFpZVwQEybAmIvnlGwJuyQEhhBBCCG8ImNtzQgghhBDeJE2TEEIIIYQbpGkSQgghhHCDNE1CCCGEEG6QpkkIIYQQwg3SNAkhhBBCuEGaJiGEEEIIN0jTJIQQQgjhhv8H6iJBYtnyfugAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "from mlxtend.plotting import plot_decision_regions\n", "import matplotlib.gridspec as gridspec\n", "import itertools\n", "gs = gridspec.GridSpec(2, 2)\n", "\n", "fig = plt.figure(figsize=(10,8))\n", "\n", "labels = ['Logistic Regression', 'Random Forest', 'Naive Bayes', 'SVM']\n", "for clf, lab, grd in zip([clf1, clf2, clf3, clf4],\n", " labels,\n", " itertools.product([0, 1], repeat=2)):\n", "\n", " clf.fit(X, y)\n", " ax = plt.subplot(gs[grd[0], grd[1]])\n", " fig = plot_decision_regions(X=X, y=y, clf=clf, legend=2)\n", " plt.title(lab)\n", " \n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 4 - Highlighting Test Data Points" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mlxtend.plotting import plot_decision_regions\n", "from mlxtend.preprocessing import shuffle_arrays_unison\n", "import matplotlib.pyplot as plt\n", "from sklearn import datasets\n", "from sklearn.svm import SVC\n", "\n", "\n", "# Loading some example data\n", "iris = datasets.load_iris()\n", "X, y = iris.data[:, [0,2]], iris.target\n", "X, y = shuffle_arrays_unison(arrays=[X, y], random_seed=3)\n", "\n", "X_train, y_train = X[:100], y[:100]\n", "X_test, y_test = X[100:], y[100:]\n", "\n", "# Training a classifier\n", "svm = SVC(C=0.5, kernel='linear')\n", "svm.fit(X_train, y_train)\n", "\n", "# Plotting decision regions\n", "plot_decision_regions(X, y, clf=svm, legend=2, \n", " X_highlight=X_test)\n", "\n", "# Adding axes annotations\n", "plt.xlabel('sepal length [cm]')\n", "plt.ylabel('petal length [cm]')\n", "plt.title('SVM on Iris')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 5 - Evaluating Classifier Behavior on Non-Linear Problems" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from sklearn.linear_model import LogisticRegression\n", "from sklearn.naive_bayes import GaussianNB \n", "from sklearn.ensemble import RandomForestClassifier\n", "from sklearn.svm import SVC\n", "\n", "# Initializing Classifiers\n", "clf1 = LogisticRegression(random_state=1)\n", "clf2 = RandomForestClassifier(n_estimators=100, \n", " random_state=1)\n", "clf3 = GaussianNB()\n", "clf4 = SVC()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# Loading Plotting Utilities\n", "import matplotlib.pyplot as plt\n", "import matplotlib.gridspec as gridspec\n", "import itertools\n", "from mlxtend.plotting import plot_decision_regions\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### XOR" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "xx, yy = np.meshgrid(np.linspace(-3, 3, 50),\n", " np.linspace(-3, 3, 50))\n", "rng = np.random.RandomState(0)\n", "X = rng.randn(300, 2)\n", "y = np.array(np.logical_xor(X[:, 0] > 0, X[:, 1] > 0), \n", " dtype=int)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gs = gridspec.GridSpec(2, 2)\n", "\n", "fig = plt.figure(figsize=(10,8))\n", "\n", "labels = ['Logistic Regression', 'Random Forest', 'Naive Bayes', 'SVM']\n", "for clf, lab, grd in zip([clf1, clf2, clf3, clf4],\n", " labels,\n", " itertools.product([0, 1], repeat=2)):\n", "\n", " clf.fit(X, y)\n", " ax = plt.subplot(gs[grd[0], grd[1]])\n", " fig = plot_decision_regions(X=X, y=y, clf=clf, legend=2)\n", " plt.title(lab)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Half-Moons" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import make_moons\n", "X, y = make_moons(n_samples=100, random_state=123)\n", "\n", "gs = gridspec.GridSpec(2, 2)\n", "\n", "fig = plt.figure(figsize=(10,8))\n", "\n", "labels = ['Logistic Regression', 'Random Forest', 'Naive Bayes', 'SVM']\n", "for clf, lab, grd in zip([clf1, clf2, clf3, clf4],\n", " labels,\n", " itertools.product([0, 1], repeat=2)):\n", "\n", " clf.fit(X, y)\n", " ax = plt.subplot(gs[grd[0], grd[1]])\n", " fig = plot_decision_regions(X=X, y=y, clf=clf, legend=2)\n", " plt.title(lab)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Concentric Circles" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import make_circles\n", "X, y = make_circles(n_samples=1000, random_state=123, noise=0.1, factor=0.2)\n", "\n", "gs = gridspec.GridSpec(2, 2)\n", "\n", "fig = plt.figure(figsize=(10,8))\n", "\n", "labels = ['Logistic Regression', 'Random Forest', 'Naive Bayes', 'SVM']\n", "for clf, lab, grd in zip([clf1, clf2, clf3, clf4],\n", " labels,\n", " itertools.product([0, 1], repeat=2)):\n", "\n", " clf.fit(X, y)\n", " ax = plt.subplot(gs[grd[0], grd[1]])\n", " fig = plot_decision_regions(X=X, y=y, clf=clf, legend=2)\n", " plt.title(lab)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 6 - Working with existing axes objects using subplots" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "from mlxtend.plotting import plot_decision_regions\n", "\n", "from sklearn.linear_model import LogisticRegression\n", "from sklearn.naive_bayes import GaussianNB \n", "from sklearn import datasets\n", "import numpy as np\n", "\n", "# Loading some example data\n", "iris = datasets.load_iris()\n", "X = iris.data[:, 2]\n", "X = X[:, None]\n", "y = iris.target\n", "\n", "# Initializing and fitting classifiers\n", "clf1 = LogisticRegression(random_state=1)\n", "clf2 = GaussianNB()\n", "clf1.fit(X, y)\n", "clf2.fit(X, y)\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(10, 3))\n", "\n", "fig = plot_decision_regions(X=X, y=y, clf=clf1, ax=axes[0], legend=2)\n", "fig = plot_decision_regions(X=X, y=y, clf=clf2, ax=axes[1], legend=1)\n", " \n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 7 - Decision regions with more than two training features" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mlxtend.plotting import plot_decision_regions\n", "import matplotlib.pyplot as plt\n", "from sklearn import datasets\n", "from sklearn.svm import SVC\n", "\n", "# Loading some example data\n", "X, y = datasets.make_blobs(n_samples=600, n_features=3,\n", " centers=[[2, 2, -2],[-2, -2, 2]],\n", " cluster_std=[2, 2], random_state=2)\n", "\n", "# Training a classifier\n", "svm = SVC()\n", "svm.fit(X, y)\n", "\n", "# Plotting decision regions\n", "fig, ax = plt.subplots()\n", "# Decision region for feature 3 = 1.5\n", "value = 1.5\n", "# Plot training sample with feature 3 = 1.5 +/- 0.75\n", "width = 0.75\n", "plot_decision_regions(X, y, clf=svm,\n", " filler_feature_values={2: value},\n", " filler_feature_ranges={2: width},\n", " legend=2, ax=ax)\n", "ax.set_xlabel('Feature 1')\n", "ax.set_ylabel('Feature 2')\n", "ax.set_title('Feature 3 = {}'.format(value))\n", "\n", "# Adding axes annotations\n", "fig.suptitle('SVM on make_blobs')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 8 - Grid of decision region slices" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mlxtend.plotting import plot_decision_regions\n", "import matplotlib.pyplot as plt\n", "from sklearn import datasets\n", "from sklearn.svm import SVC\n", "\n", "# Loading some example data\n", "X, y = datasets.make_blobs(n_samples=500, n_features=3, centers=[[2, 2, -2],[-2, -2, 2]],\n", " cluster_std=[2, 2], random_state=2)\n", "\n", "# Training a classifier\n", "svm = SVC()\n", "svm.fit(X, y)\n", "\n", "# Plotting decision regions\n", "fig, axarr = plt.subplots(2, 2, figsize=(10,8), sharex=True, sharey=True)\n", "values = [-4.0, -1.0, 1.0, 4.0]\n", "width = 0.75\n", "for value, ax in zip(values, axarr.flat):\n", " plot_decision_regions(X, y, clf=svm,\n", " filler_feature_values={2: value},\n", " filler_feature_ranges={2: width},\n", " legend=2, ax=ax)\n", " ax.set_xlabel('Feature 1')\n", " ax.set_ylabel('Feature 2')\n", " ax.set_title('Feature 3 = {}'.format(value))\n", "\n", "# Adding axes annotations\n", "fig.suptitle('SVM on make_blobs')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 9 - Customizing the plotting style" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mlxtend.plotting import plot_decision_regions\n", "from mlxtend.preprocessing import shuffle_arrays_unison\n", "import matplotlib.pyplot as plt\n", "from sklearn import datasets\n", "from sklearn.svm import SVC\n", "\n", "# Loading some example data\n", "iris = datasets.load_iris()\n", "X = iris.data[:, [0, 2]]\n", "y = iris.target\n", "X, y = shuffle_arrays_unison(arrays=[X, y], random_seed=3)\n", "X_train, y_train = X[:100], y[:100]\n", "X_test, y_test = X[100:], y[100:]\n", "\n", "# Training a classifier\n", "svm = SVC(C=0.5, kernel='linear')\n", "svm.fit(X_train, y_train)\n", "\n", "# Specify keyword arguments to be passed to underlying plotting functions\n", "scatter_kwargs = {'s': 120, 'edgecolor': None, 'alpha': 0.7}\n", "contourf_kwargs = {'alpha': 0.2}\n", "scatter_highlight_kwargs = {'s': 120, 'label': 'Test data', 'alpha': 0.7}\n", "# Plotting decision regions\n", "plot_decision_regions(X, y, clf=svm, legend=2,\n", " X_highlight=X_test,\n", " scatter_kwargs=scatter_kwargs,\n", " contourf_kwargs=contourf_kwargs,\n", " scatter_highlight_kwargs=scatter_highlight_kwargs)\n", "\n", "# Adding axes annotations\n", "plt.xlabel('sepal length [cm]')\n", "plt.ylabel('petal length [cm]')\n", "plt.title('SVM on Iris')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# API" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "## plot_decision_regions\n", "\n", "*plot_decision_regions(X, y, clf, feature_index=None, filler_feature_values=None, filler_feature_ranges=None, ax=None, X_highlight=None, res=None, legend=1, hide_spines=True, markers='s^oxv<>', colors='#1f77b4,#ff7f0e,#3ca02c,#d62728,#9467bd,#8c564b,#e377c2,#7f7f7f,#bcbd22,#17becf', scatter_kwargs=None, contourf_kwargs=None, scatter_highlight_kwargs=None)*\n", "\n", "Plot decision regions of a classifier.\n", "\n", "Please note that this functions assumes that class labels are\n", "labeled consecutively, e.g,. 0, 1, 2, 3, 4, and 5. If you have class\n", "labels with integer labels > 4, you may want to provide additional colors\n", "and/or markers as `colors` and `markers` arguments.\n", "See http://matplotlib.org/examples/color/named_colors.html for more\n", "information.\n", "\n", "**Parameters**\n", "\n", "- `X` : array-like, shape = [n_samples, n_features]\n", "\n", " Feature Matrix.\n", "\n", "- `y` : array-like, shape = [n_samples]\n", "\n", " True class labels.\n", "\n", "- `clf` : Classifier object.\n", "\n", " Must have a .predict method.\n", "\n", "- `feature_index` : array-like (default: (0,) for 1D, (0, 1) otherwise)\n", "\n", " Feature indices to use for plotting. The first index in\n", " `feature_index` will be on the x-axis, the second index will be\n", " on the y-axis.\n", "\n", "- `filler_feature_values` : dict (default: None)\n", "\n", " Only needed for number features > 2. Dictionary of feature\n", " index-value pairs for the features not being plotted.\n", "\n", "- `filler_feature_ranges` : dict (default: None)\n", "\n", " Only needed for number features > 2. Dictionary of feature\n", " index-value pairs for the features not being plotted. Will use the\n", " ranges provided to select training samples for plotting.\n", "\n", "- `ax` : matplotlib.axes.Axes (default: None)\n", "\n", " An existing matplotlib Axes. Creates\n", " one if ax=None.\n", "\n", "- `X_highlight` : array-like, shape = [n_samples, n_features] (default: None)\n", "\n", " An array with data points that are used to highlight samples in `X`.\n", "\n", "- `res` : float or array-like, shape = (2,) (default: None)\n", "\n", " This parameter was used to define the grid width,\n", " but it has been deprecated in favor of\n", " determining the number of points given the figure DPI and size\n", " automatically for optimal results and computational efficiency.\n", " To increase the resolution, it's is recommended to use to provide\n", " a `dpi argument via matplotlib, e.g., `plt.figure(dpi=600)`.\n", "\n", "- `hide_spines` : bool (default: True)\n", "\n", " Hide axis spines if True.\n", "\n", "- `legend` : int (default: 1)\n", "\n", " Integer to specify the legend location.\n", " No legend if legend is 0.\n", "\n", "- `markers` : str (default: 's^oxv<>')\n", "\n", " Scatterplot markers.\n", "\n", "- `colors` : str (default: 'red,blue,limegreen,gray,cyan')\n", "\n", " Comma separated list of colors.\n", "\n", "- `scatter_kwargs` : dict (default: None)\n", "\n", " Keyword arguments for underlying matplotlib scatter function.\n", "\n", "- `contourf_kwargs` : dict (default: None)\n", "\n", " Keyword arguments for underlying matplotlib contourf function.\n", "\n", "- `scatter_highlight_kwargs` : dict (default: None)\n", "\n", " Keyword arguments for underlying matplotlib scatter function.\n", "\n", "**Returns**\n", "\n", "- `ax` : matplotlib.axes.Axes object\n", "\n", "\n", "**Examples**\n", "\n", "For usage examples, please see\n", " [http://rasbt.github.io/mlxtend/user_guide/plotting/plot_decision_regions/](http://rasbt.github.io/mlxtend/user_guide/plotting/plot_decision_regions/)\n", "\n", "\n" ] } ], "source": [ "with open('../../api_modules/mlxtend.plotting/plot_decision_regions.md', 'r') as f:\n", " print(f.read())" ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.6.4" }, "toc": { "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 1 }