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hands-on/05_support_vector_machines.ipynb
2017-02-17 11:51:26 +01:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"**Chapter 5 Support Vector Machines**\n",
"\n",
"_This notebook contains all the sample code and solutions to the exercices in chapter 5._"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"# Setup"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"First, let's make sure this notebook works well in both python 2 and 3, import a few common modules, ensure MatplotLib plots figures inline and prepare a function to save the figures:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"# To support both python 2 and python 3\n",
"from __future__ import division, print_function, unicode_literals\n",
"\n",
"# Common imports\n",
"import numpy as np\n",
"import numpy.random as rnd\n",
"import os\n",
"\n",
"# to make this notebook's output stable across runs\n",
"rnd.seed(42)\n",
"\n",
"# To plot pretty figures\n",
"%matplotlib inline\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"plt.rcParams['axes.labelsize'] = 14\n",
"plt.rcParams['xtick.labelsize'] = 12\n",
"plt.rcParams['ytick.labelsize'] = 12\n",
"\n",
"# Where to save the figures\n",
"PROJECT_ROOT_DIR = \".\"\n",
"CHAPTER_ID = \"svm\"\n",
"\n",
"def save_fig(fig_id, tight_layout=True):\n",
" path = os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID, fig_id + \".png\")\n",
" print(\"Saving figure\", fig_id)\n",
" if tight_layout:\n",
" plt.tight_layout()\n",
" plt.savefig(path, format='png', dpi=300)"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"# Large margin classification"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"SVC(C=inf, cache_size=200, class_weight=None, coef0=0.0,\n",
" decision_function_shape=None, degree=3, gamma='auto', kernel='linear',\n",
" max_iter=-1, probability=False, random_state=None, shrinking=True,\n",
" tol=0.001, verbose=False)"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.svm import SVC\n",
"from sklearn import datasets\n",
"\n",
"iris = datasets.load_iris()\n",
"X = iris[\"data\"][:, (2, 3)] # petal length, petal width\n",
"y = iris[\"target\"]\n",
"\n",
"setosa_or_versicolour = (y == 0) | (y == 1)\n",
"X = X[setosa_or_versicolour]\n",
"y = y[setosa_or_versicolour]\n",
"\n",
"# SVM Classifier model\n",
"svm_clf = SVC(kernel=\"linear\", C=float(\"inf\"))\n",
"svm_clf.fit(X, y)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure large_margin_classification_plot\n"
]
},
{
"data": {
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ShZYtW/Lyyy+zbt26nP3JycnMmDGDBQsW0LlzZ2rXrk2fPn0YMmQIH3/8MUBO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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f956aa87d30>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Bad models\n",
"x0 = np.linspace(0, 5.5, 200)\n",
"pred_1 = 5*x0 - 20\n",
"pred_2 = x0 - 1.8\n",
"pred_3 = 0.1 * x0 + 0.5\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, \"k-\", linewidth=2)\n",
" plt.plot(x0, gutter_up, \"k--\", linewidth=2)\n",
" plt.plot(x0, gutter_down, \"k--\", linewidth=2)\n",
"\n",
"plt.figure(figsize=(12,2.7))\n",
"\n",
"plt.subplot(121)\n",
"plt.plot(x0, pred_1, \"g--\", linewidth=2)\n",
"plt.plot(x0, pred_2, \"m-\", linewidth=2)\n",
"plt.plot(x0, pred_3, \"r-\", linewidth=2)\n",
"plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"bs\", label=\"Iris-Versicolour\")\n",
"plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"yo\", label=\"Iris-Setosa\")\n",
"plt.xlabel(\"Petal length\", fontsize=14)\n",
"plt.ylabel(\"Petal width\", fontsize=14)\n",
"plt.legend(loc=\"upper left\", fontsize=14)\n",
"plt.axis([0, 5.5, 0, 2])\n",
"\n",
"plt.subplot(122)\n",
"plot_svc_decision_boundary(svm_clf, 0, 5.5)\n",
"plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"bs\")\n",
"plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"yo\")\n",
"plt.xlabel(\"Petal length\", fontsize=14)\n",
"plt.axis([0, 5.5, 0, 2])\n",
"\n",
"save_fig(\"large_margin_classification_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"# Sensitivity to feature scales"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure sensitivity_to_feature_scales_plot\n"
]
},
{
"data": {
"image/png": 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YDwFvAuOBLGANRlXBa0qpvsBCYAawC+iTP7kSoqSbMmUICQmRDmuwmjaNZMqU0W5umRCl\nh9b6UJ5/36GUehV4EbBMsEBmVhSUs5GpHj16cPnyZWJiYjh9+jQrVqxgxYoVtGzZUhIsIUSRKuxZ\nFS4fwSoM8qRQlHQHDx5m0qSPOX48h7p1vZgyZYgUuBAlWnEbwbKIfxz4l9Y62Ml16ZcKidaa/fv3\nExsbS0xMDLNmzaJq1aqmuL///e/4+vra9+Rq3LixTCsUQhQKj9sHqzBIRyaEECWLqxIspZQ3UAaY\njLEmeDiQpbXOzhd3D7BRa31aKdUS+A+wTGs91cl9pV9yoUuXLlG5cmWysv6Y5FKnTh0iIiJYuHAh\nlSpJAWIhxF8nCZYQQgiP58IEKxKIBPJ2IlHAR8BOoJXW+phSajbwd4x5uqeARcDU/IlYnvtKv+RC\nWVlZrF+/npiYGHsBjdTUVG699VZOnTplGsnKycnh4sWL+PnlL1YshBBmkmAJIYTweK6eIljYpF9y\nr5ycHH777TeOHTtGz549Tdd37txJ27ZtadeunX0/rvDwcBo0aOCG1gohijtJsIQQQng8SbBEUVqx\nYgWPPfaYw5RCgL/97W988cUXbmqVEKK48sQqgkIIIYQQLvO3v/2NtLQ0NmzYYC+eERcXR/PmzS3j\nd+/ezfHjx+nUqRO+vvn3JXS/3EJIKSk51KsnhZCEKG5kBEsIIYTbyQiWcLWcnBwuX75smUCNHTuW\n2bNn4+3tTWBgoH1KYdeuXalRo4YbWvuHgwcP07PnPNNWHj/+OFqSLCEKyc32SV6F2RghhBBCCE/g\n5eXldHSqfv36BAUFAZCUlMTcuXN59NFH+fLLL13ZREuTJn2cJ7kC8GX//igmTfrYja0SQuTl0imC\nSqkL/FG5SQHlgbe11s/art8FzAcaAInAUK31EVe2UQghhBCl2zPPPMMzzzzDxYsXSUxMtE8rvOOO\nOyzjp02bhpeXFxEREQQHB1O+fPkia1tKSg5/JFe5fDl+PKfIXlMIcWNcmmBpre0bUyilKgAngc9t\nx9WB5cAw4BtgKrAMCHVlG4UQQgghACpWrMhdd93FXXfd5TRGa82bb77JmTNnAChTpgxBQUFEREQw\nfvx4qlevXqhtqlfPC8jAMcnKoG5dmZQkRHHhtjVYSqnBwCStdTPb8XBgsNY6wnZcATgLdNBa78n3\ntTLXXQghShBZgyU8VVZWFv/5z3/s+3Ft3boVrTU+Pj6kpaVRoUIF09dorU17dRWUrMESouh5bJl2\npdRPwDqt9au247lAGa31P/PEbAMma61X5Pta6ciEEKIEkQRLlBRpaWkkJCRw4MABnn76adP11NRU\nWrVqRWhoKOHh4YSHhxMUFETZsmUL/Bq5VQSPH8+hbl2pIihEYfPIBEsp1RDYDzTTWh+2nfsAOK21\nnpAnLgZ4X2v9ab6vl45MCCFKEFclWEqpfwJDgLbAZ1rrYdeJHQOMBcphTGF/Wmt9zUms9EuiQL7/\n/nt69+7tcK5s2bI89NBDfPbZZ25qlRAiL0+tIvgEEJObXNlcBPzyxfkBF1zWKiGEECVdCjAFWHi9\nIKXU3RjJVTegMdAUiLre1yxdupSjR48WTitFiXX33Xezb98+PvnkE4YPH07r1q3JzMzEx8d6WfyZ\nM2fYv38/ksAL4TncNYL1GzBda/1JnnP512D5AqeBQKs1WJGRkfbjrl270rVrV1c0XQghRCFYu3Yt\na9eutR9HRUW5dIqgUmoKUM/ZCJZSaglwUGv9su24O7BEa13HSby9M23QoIF936Tw8HDatm2Lt7d3\nEXwXoqRITU3l4sWLNGzY0HTtjTfe4Pnnn6dWrVqEh4fb31uBgYGUKVPGDa0VouTzuCmCSqkw4Aeg\nttY6I8/5GsBejCqC3wKvAndorcMs7iFTMYQQogRx9RqsAiRYm4FpWuv/2I6rYzz0q6G1PmcRr3v3\n7k1cXBxpaWkO1ypVqkRoaKj9g3GnTp2c7r8kRH6zZs1i9uzZnD171uH8q6++yqRJk9zUKiFKNk9M\nsN4Dymmth1hc6w68DTTE2AdriNU+WJJgCSFEyVIME6x9wP9prVfZjn2Aq0Dj6/VLOTk57Nixw75v\nUmxsLIcOHXKI9fb2JjAw0GE0ok4dy4ExIQCj6uCePXuIjY21v7feffddunfvbopdtmwZ2dnZRERE\nWI6ICSH+nMclWIVBEiwhhChZimGCtRmYqrX+r+24GnCG64xgOeuXUlJSHD4Yb968mZwcx01hmzRp\nYk+2IiIiaNWqFV5esq+RuHHt27dn69atANSvX9/+nurfv3+h78klREklCZYQQgiPVwwTrCXAAa31\nJNtxd2Cx1rquk/gCrw2+ePEiiYmJ9hGu+Ph4Ll686BBTpUoVwsLC7ElXx44dKV++/F/4TkVporVm\n9uzZ/PLLL8TFxXHu3B/PAo4cOUKDBg3c2Dohiq/CXhcsCZYQQgi3c2GZdm+gDDAZqA8MB7K01tn5\n4u4GPgLuAk4C/wUStNYTndz3L/dLWVlZbNu2zT7CFRMTQ0pKikNMmTJlCAoKcphWeOutt/6l1xOl\nQ05ODrt27SI2Npbt27fz1ltvmWKysrLo1q0bt99+u70oS7169dzQWiGKFxnBEkII4fFcmGBFApFA\n3k4kCiOZ2gm00lofs8U+B4zH2Afrv7hoHyytNUeOHHGYVrht2zZTme7mzZs7TCv09/dHKY/dq1m4\nwcaNGwkKCnI417hxY+6++27ee+89N7VKCPeTBEsIIYTHc/UUwcJW1P1SWloa8fHx9qQrISGBy5cv\nO8TUqFHDPgoRHh5OUFAQZcuWLbI2Cc93+fJlh/dVXFwcFy5coHv37vz000+m+CtXrpCTk0OFChXc\n0FohXEcSLCGEEB5PEqwbc+3aNTZv3mxfxxUbG8vJkycdYsqWLUvHjh3tI1xhYWFUq1bNZW0Unic7\nO5vt27eTmZlJSEiI6fqyZcsYNGiQfUph7ghqrVq13NBaIYqOJFhCCOHhLl26RHR0ND+vWkV6Whp+\nlSvTvVcv+vXrV2qeFEuCdXO01hw4cMBhWuHOnTtNca1bt7aPcEVERHDbbbfJtEJRYDNmzGDixImm\nKpgTJkxg2rRpbmqVEIVPEiwhhPBQ2dnZTImKYv68eYT6+/NwcDBVfX05l5HB8qQk4vfsYdTo0UyK\njMTb29vdzS1SkmAVvtTUVOLi4uwJ14YNG8jMzHSIqVWrlsM6rg4dOlCmTBk3tVh4gvT0dBISEhym\nqy5YsICBAweaYuPj48nJySE4OFimqwqP4pEJllKqH0YFp4bACYwNhWOVUncB84EGGBsND3W2oeOZ\nM2fw9vbG29sbLy8vvL29ueWWW0r8hxAhRMmQnZ3NgMcf5/TevXw4YgRNatY0xRw8fZph779PLX9/\nlkRHl+jfb5JgFb3MzEw2btzoMK3w7NmzDjEVKlQgJCTEnnSFhoZSuXJlN7VYeIKsrCyys7MtE6h7\n7rmHH374gbJlyxIcHGwfPe3WrRuVKlVyQ2uFKBiPS7CUUj2B94HHtNYblFK529dfBfYDw4BvgKnA\nHVrrUIt7WDZ62rRpTJgwwXT+lVde4bXXXjMlZBMmTOCZZ54xxb/11lssXLjQIdbb25unnnqKJ554\nwhS/aNEili9fbop/7LHH6NOnjyn+m2++4aeffjLF9+rVizvvvNMUHxsbS3Jysik+ODiY9u3bm+J3\n7drFvn37TPFNmzalUaNGpviTJ09y9uxZU3y1atUsO9bMzEyysrIc4r28vGSaiRA34JXJk1n31Vd8\nP24cZa8zYpB57Rr3zJxJlz59eOXVV13YQteSBMv1tNbs2bPHPsIVGxvLnj17HGKUUrRt29ZhvU3D\nhg3l970okHHjxvHdd9+xfft2hyqYCQkJdOrUyY0tE+L6brZP8inMxhTQK8CrWusNAFrrEwBKqeHA\ndq31F7bjV4CzSil/rfWe/DepVq0a2dnZZGdnk5OTQ3Z2Nj4+1t/OlStXTJs4grHuwUpKSop9F/S8\nHnzwQcv47du389VXX5nOt2nTxjLBiomJYe7cuabzFStWtEyw/ve//zFz5kzT+enTp1smWJ988onT\n+Jdeesl0fu7cuTcUHxkZeUPxU6dO5a233jIluGPHjuXpp582xb/99tt8+umnpvjhw4fTv39/U/xn\nn33G119/bYp/5JFH6N27tyn++++/Z926dab47t27ExYWZopPTExky5YtpvjAwEBat25tit+zZw+H\nDx82xTdq1Mhyf5GzZ89y/vx5U7yfnx++vr6m+OxsY7seSWo916VLl5g/bx5JU6fak6uDp84waVkS\nKefKUq9qJlMeD6ZJrVspW6YMH44YQcdJkxg7fnypWZMlip5SihYtWtCiRQuGDTP2Wz59+rTDtMLk\n5GS2bt3K1q1beffddwGoV6+ew7TCtm3bOu1/Rek2c+ZMZs6cyfnz54mPjycmJob169cTGBhoGf/0\n00/TrFkzIiIiCAwM5JZbbnFxi4UoHC79jaiU8gKCga+VUnuBssCXwFggANiSG6u1vqSU2m87b0qw\nfv/99wK/blRUFBMmTDAlZBUrVrSMHzNmDAMGDDDFN2zY0DL+iSeeoHPnzva43K+xSn4A7r//fmrW\nrGmKv+OOOyzjw8LCGDVqVIHv37JlS+677z5TfOPGjS3ja9asSevWrU3xVatWtYz38fGhfPnyDvFa\na7y8vCzj09PTOXPmjOV5K4cPH2b9+vWm83fffbdl/ObNm1m2bJnpvL+/v2WCtWbNGmbNmmU6X6ZM\nGcsEa/ny5cyePdt0fsaMGZYJ1sKFCy3v/+9//5vx48ebzs+ePdsyfsaMGYwbN850fsKECfZ4Ly8v\ne0I2bdo0XnjhBVP89OnTee+990wJ3Isvvsg//vEPU/yCBQtYunSpaURz6NChPPLII6b4zz//nO++\n+84U36dPH3r27GmKX716NXFxcab4O++8k44dO5rik5OT2blzpym+TZs2+Pv7m+IPHjxISkqKKb5e\nvXrUtJiGd/78eTIyMkzx5cuXL7I1A9HR0YT6+9PY1p6Dp87Qc+pW9p+aB/gCGSTsfYEfX25Hk1q3\n0qRmTTo3b050dLT9g7AQRaFmzZr07duXvn37AkYZ7w0bNtinFMbGxpKSksKyZcvsv3crVqxI586d\n7UlX586dnfavonSqUqUKvXv3tuyTc508edJh761y5crRqVMnIiIiePXVV51+xhCiOHL1I6daQBng\nYSAcyAK+Bl4GKgKn88WnATc9Sbds2bI39EGpdu3a1K5du8DxAQEBBAQEFDg+IiKCiIiIAsc/+OCD\nTkfPrAwZMoQhQ4YUOP7555/n+eefL3D81KlTmTp1qsO5602NmTx5Mi+88EKBE7hRo0bx0EMPmRLc\npk2bWsYPHDiQwMBAU7zVh3Uw5oRXrlzZFB8aapqNCkBISAhPPvmkKd4quQJo1qwZd911lym+fv36\nlvHVqlXjtttuK/ADALAPXZOTk0NOTg5ZWVmmqk65zp07x9GjR03nU1NTLeP37dvHunXrTOe7du1q\nGb9hwwY+/vhj0/mGDRtaJlg//PADc+bMMZ2fOXOm5f+z6Ohop/Fjx441nX/nnXduKH769OmWCbSz\n+PHjx/P666+bErKoqCjLKcezZs2yTznO/XPk8GEevv12e8ykZUl5kqsPgP+y/xTcEfktHZvWxksp\nbqtWjZ9XrTIlWMuXL2f16tUO9/fy8uL++++3/H+2Zs0aNmzYYIoPDw+nQ4cOpvgtW7awZ88eU3yr\nVq1o0qSJKf7o0aOcOnXKFF+rVi3LEuEXL17k6tWrpvOieChfvjx33nmnfXZFTk4Ou3btcphWeODA\nAVavXs3q1asB8Pb2pn379g7TCq1G74XIq0KFCnz44Yf2RH737t2sW7eO06dPmz5zwB+fO2QmhyiO\nXJ1g5e6K+JbW+jSAUup1jARrHeCXL94PuGB1o1deecX+7127dnX64U+4xvV+wVWsWPGGnmY2bNjQ\n6Wihlfbt2zsdzbPSrVs3unXrVuD4Rx55xHLkxpnhw4czfPjwAsePGzfOcqTKmdwpF1rrAk2RnThx\nIqNGjTIlcFajOQBPPfUU9957rykhbtmypWX8Y489RqtWrUzxVqOBAD169KBcuXKmeGcJ8e23387A\ngQNN8VbuZ/JLAAAgAElEQVSjVwCNGzcmLCzMFO9sn5ZKlSpRp04dU3y5cuUs469du2b/k5ezJOHU\nqVOmdS0AWbapngAp58piJFcAu4AfjPOpkJJqJMeDu3ThgsXPWXx8vMNT31y1a9e2/L24cuVKXnvt\nNdP52bNnWyZYixYtsoyfNWsW//rXv0zn33zzzQLFr127lrVr17Jq1Sri4+NN8aJ48vLysj9UHDFi\nBAAnTpxwKA+/adMmNm7cyMaNG5k3bx5g/FzmLQ8fEBAgIxLCgZ+fH0OHDmXo0KGAMX0+Li7O6e/W\nX3/9lf79+zu8r9q3by/TVUWx4I4iF0eACVrrxbbjh4CJwLsY1QQjbOd9MUa0AvOvwfLExcRCiJIh\nOzvbPmKYPyErX768Kf7MmTP8/vvvDrEvjR3LPfXq8ey99wIw6K3vWBKTO4K1GzgIZHBnq3d57r7b\nyc7JYc/x4+zUmsXR0Q73j4uLY/PmzaYEukuXLpYbhX7zzTesW7fOFP/QQw/Ro0cPU/ynn37K119/\nbYp/8sknefjhh03xb7zxBosXLzbFjx071nJ646RJk3j77bc5d+6cy4pcKKWqAh8CPYEzGH3SUou4\nSIz+6QqgAA2001ofsoiVfskmIyODxMREe9IVFxfHhQuOz0orV65MWFiY/cNxSEiIrC8UN2TOnDmm\nhzy+vr6MGTOGKVOmuKlVoqTwxCqCUcA9wP0YUwS/An7GKM++F6OK4LfAqxhVBE2PwaUjE0J4sg8/\n/JAVCxbwvxdfBPKuwXqN3DVYTWv9sQYL4P45c3ho5MgSuwbLlVUElVK5ydQw4HZgJRCqtd6VLy4S\naKq1NpePNd9T+iUnsrOz2b59u0N5+CNHHHdg8fHx4fbbb7dPKQwPD3c66iwEGNNVf/vtN4fpqvv2\n7XM6vfvgwYOUKVPG6XR9IfLyxATLB3gTGIAxZXAZME5rfVUp1R14G2N/rESMES3LfbCkIxNCeKpL\nly7RsF49Nkydat//KreK4PFzt1C36lV7FUEw9sPqOGkSR44dK7FP+V2VYCmlKgDngNZa6/22c58C\nx7TWE/LFSoJVRI4ePerwwXjr1q2mdaTNmjVzmP7VsmVLWW8jrit3/WeNGjVM14YNG8ZHH31Ew4YN\nHapgBgQElOg9BsVf43EJVmGQjkwI4eluZB+su2fMoGvfvrIPVuG8TgcgVmvtm+fcC8CdWus++WIj\ngeeAbOAE8LbW2rzgDemXblZ6ejoJCQn2pCsxMZGMjAyHmGrVqtkTrvDwcIKDg52ulRQiv6effpql\nS5eSlpbmcH7FihX2qplC5Cq1CdaiRYtMVarccSxP04QQf0V2djYDHn+c03v38uGIEfaRrLwOnj7N\n0AULqN2iBUuio0v0U1YXJlgRwOda67p5zj0JDNBad88X2xI4D5wCOgPLgTFaa9O+EJJgFa6srCy2\nbNliH+GKiYnhxIkTDjG33HILwcHB9tGIsLAwy5ELIXLl5OSwY8cOh6IsiYmJlkWf3nrrLerWrUt4\neDh16tQp1HZcunSJ6Ohofl61ivS0NPwqV6Z7r17069evxM5S8DSlNsFydxtyKaVcktC5M4ksLse5\n5ySpFSVFdnY2U6KimD9/Pp2bN+fhoCCq+vpyLiOD5cnJJOzdy+jRo3l58uQSnVyBy0ewYrTWFfOc\nex7okn8Ey+JrxwHBWutHLa5JglWEtNYcOnTIYVrhjh07TFuEtGzZ0qE8fLNmzaTPEDcsMzOTypUr\nk5mZCcBtt91mf18NGTLkL2+AbP+dP28eof7+PBwc/Mfv/KQk4vfsYdTo0UyKjCzxv/OLu1KbYFlt\nBOzqY2f7DomilZvUFoekr7Qk1vIBpWjlfZp5IT2dSn5+pe5ppovXYKUCAXnWYH0CpORfg2XxtWOB\nEK21ad8GpZSOjIy0H8v2IUXv3LlzxMfH25Ou9evXc+XKFYeYmjVrOqzjCgwM/MsfjkXpkZ6ezhtv\nvEFMTAwJCQlcvHgRMDZM/v333//SFgMFnbUw7P33qeXvX+JnLRQ3uVuH5IqKiiqdCVZxaHfejV7z\nJmDuTPqcHReHNhRGm4rD//fSyJVJbXFJKt19XNqSWhdXEfwMo+T6cCAQ+AYIs6gi+CDwi9b6vFIq\nBPgCGJ+7zUi+2GLRL5VmV69eZdOmTQ7TCs+cOeMQU65cOUJCQhymFVapUsVNLRaeICsri61btxIb\nG8ulS5cs963cv38/gwYNcqiCeeuttzrE3Mi623tmzqRLnz4let1tcVdqR7A8sd3i5uUmtcUp6SuO\niWhhHsvPmnvkTWqLS9JXlMeDBg1y1z5YZzEq2S6zrc/6VmvtZ4v7DOgF3AIcwyhy8baTe0q/VMxo\nrdm3b59Defjdu3c7xCilCAgIcJhW2Lhx41L3gEPcnE8++YQhQ4Y4nPP392fw4MFMmDDBXjk2aepU\nGuerHJtyriz1qmaWusqxxZ0kWKWALIYU7pQ/qS0OSV9xTEQLs02l6fdbXq5KsIpCaeuXPNXZs2eJ\ni4uzj3AlJSVx9epVh5jcwga5SVf79u3x8fFxU4uFJ0hPT3d4XyUmJnL58mWee+453njjDdPeh1sO\nHeGhObs5cHoupXXvw+LOZQmWUup2YBDGtIpGGFMrRgJVgHrAZK31wb/akBtRWjqy7GxZDClEaaS1\nLnZJX1EnotHR0ZJgCZe7cuUKSUlJ9g/GcXFxpKamOsT4+vrSuXNne8LVuXNnKlWq5KYWC09w7do1\nNm/eTOXKlfH392dQv370qF6dIbZ1mW2en8qOY78BIUA4EAG0Z2DEZBY/0xuAj9as4afUVBZHR7vp\nuyjdXJJgKaWaAaO11s/ajj8CwoDBgBfwK/Ci1vqNAtxrLdAJuAYojM0dW9muDQCmA9WBH4FhWuvz\nFvco8R1ZdrYshhRClB6uXINVFEpDv1Qa5OTk8NtvvzlMK9y3b59DjJeXF+3atXNYb9OgQQM3tVh4\nggd79+YfbdvSp2NHAGqPeJlT5/eY4lrV68bON54G4Mv16/loxw6++vZbl7ZVGG62TypoGZTngPF5\njn2BVK11AnAEeA34pID30sD/aa39tNaV8iRXAcB7wECgFnAZeLeA9yxxpkRFcXrvXr4fN84yuQJo\nUrMm348bx6k9e5gSFeXiFgohhBAli5eXF61atWL48OF8/PHH7N27lxMnTrB8+XLGjBlDSEgIXl5e\nbN68mfnz59O/f38aNmxIo0aNGDBgAO+88w5btmwhOzvb3d+KKEb8KlfmXJ6Ns3u0Ccf4+Pw/jI/X\nEUBZmtT0s8ecy8igkp9xvHLlSjZs2MC1a9dc2WxxEwo6gtVAa300z/Ex4COt9SQn8RWBj4HntNbH\n8l1bAyzSWn+Y7/w0oJHWepDt+DZgF1BNa52RL7ZEPynMvxgycsHXnD9u/mVdpa43USMflMWQQgiP\nJyNYwlNcunSJ9evX26cVxsfHk5aW5hDj5+dHaGiofYSrU6dO+Pr6uqnFwt3yr8E6eOoMPaduZf+p\n18hdg3VbzedYNbE9TevUAv5YgzV06FDq16/P8ePHqVChAp06dbJPV+3WrZtsO1BEXF7kwraz/U6g\nh9b6Z4vr/wAaAJOAJlrrI/murwFaY0wP/A14WWu9Tin1JRCrtZ6dJ/YCcKfWelO+e+iBAweaqlH1\n7duX3r17m9r8448/8ssvv5jiu3TpQmhoqCk+KSmJrVu3muLbtWtHq1atTPH79+/nyJEjpvgGDRpY\n7v6dmppKenq6Kb5ixYqUL1/e9IP4zOQveGj3SNN9VrR6nzej/gbIYkghhGeTBEt4quzsbHbs2GGf\nUhgTE8Phw4cdYry9vQkMDHSYVmj1+UCUTLkPzjdMnWqflZRbRfD4uVuoW/Wq0yqCXl5e/N///R8x\nMTHs3bvXfk8vLy/Onz8v6wGLyM32SX+lLE4PIBOIy9OIJrkFLrTWC23nJjv5+rEYCdpVoD/wtVIq\nEKgIpOWLTQMs3zlLliwxnWvcuLFlgvXzzz8zY8YM0/np06dbJlj//e9/mTlzpun8tGnTLBOsDz74\nwPL+06ZNY8IE876Vs2fPdtqel156iZ9XreLh4GD7+bgzW5hHN7zwwhtvFAovvAj+vSVgJFgPBwXx\n06pVDBs2jNmzZ/Pee++ZSiE/++yz/OMf/7Bsf7RtDVfe+L///e888ohpP02++OILvvvuO1P8/fff\nT48ePUzxa9asIT4+3hQfHh5OcJ7vM9fmzZvZtWuXKb5Vq1Y0b97cFH/48GFOnDhhiq9du7ZpHwqA\nCxcucOnSJVN82bJlKXOdvSmEEEKI/HIfwLZr146nnzbWz6SkpNiTrdjYWDZv3kxSUhJJSUnMnTsX\ngNtuu82hPHyrVq3+0ga2ovirUKECo0aPZtj779v3wWpS61Z7QYu8Mq9dY+iCBYwaNco+K+nDD41J\nX6dPnyYuLo6YmBjOnj1rmVxduHCBESNG2BP5du3ayRp9N/jTBEspVQ6IAj7VWu/ASLC2aq2v2K4r\n4EXgnwV5Qa31hjyHnyql+gH3AhcBv3zhfsAFq/v07dvXXj7a39+fZs2aERISYvmaPXv2pHz58qYK\nVp07d7aMDwoKYsiQIab41q1bW8Y3adKELl26mOLr1q1rGV+5cmUaNmxois/9QUpPS6Nqw4amr8ux\n/WM/zvO0tKqvLxcOHQKMMrQHDhwwff3Zs2ct27Nnzx5++ukn0/mwsDDL+MTERD744APT+dq1a1sm\nWN9//z2zZs0ynf/3v/9tmWAtXbrUafz48eNN5995550bip82bZplAu0s/uWXX+b11183JWSTJk3i\nmWeeMcW//vrrLFy40DRCOWrUKJ544glT/EcffcTy5ctN8QMHDuTBBx80xX/11VesXr3aFN+7d2+6\ndOliiv/ll19ISkoyxXfq1IkOHTqY4rdv387evXtN8f7+/jRu3NgUn5KSwpkzZ0zxNWrUoGrVqqb4\ny5cvc/XqVcv9kGTvmdJj7dq1rF271t3NEKJI1KtXj8cee4zHHnsMMD70JiYm2pOuhIQEDhw4wIED\nB1i0aBEAVatWJSwszJ50BQcHU758eXd+G6IQTYqMZNfOndwzc+Z1i5cNXbCA2i1aMCky0nS9Zs2a\n9O3bl759+zp9nYSEBKKjo4m2VR+sVKkSnTt35oEHHmD06NGF9w2J6yrICNa9GAlUslIqC7gNyFvZ\nbyLwaSG0ZTtg/7RnW4N1C2AuswKsWLGiwDfu3r073bt3L3D8o48+yqOPPlrg+BEjRjBixIgCx48f\nP97yg3yu/Ishw2t2YNbv8+0JVu4/K6v9UVck72LIcePGMWLECFMCV6tWLcvXGz58OD179jRt4Gs1\nWgfw8MMP07RpU1N8eHi4ZXy3bt3w8vIyxVslVwDt27fn8ccfN8VbjV4BNGjQgJCQEFO81egVGCV3\nb731VlN82bJlLeMzMzO5fPmy6fyVK1cs40+cOMHOnTtN50+ePGkZv3PnTlauXGk6HxQUZJlgxcbG\nMn/+fNP5atWqWSZY33zzDbNnzzadnzFjhmWC9emnnzqNt9rB/s0337yh+MjISMt4ZwluZGQk8+bN\nM21SO3HiRJ566inL9ixatMiUvD311FP079/fFL9o0SK+/vprU/xjjz3Gvffea4pfuXIl69atM8X3\n6NHD8mcgPj6ezZs3m+KDgoIICAgwxe/evZtDhw6Z4ps0aUL9+vVN8adPn+bcuXOm+MqVK1s+3bx2\n7Rpaa3u8u5Larl270tVWshggqgQU6pk4cSLh4eGEhYVRpUoVdzdHFCOVKlWiR48e9oeQWVlZbNu2\nzT7CFRMTQ0pKCitXrrT3B2XKlCEoKMhhWqGzfk0Uf97e3ny2bBlToqLoOGkSnZs35+GgoD+230lO\nJmHvXkaPHs3Lkyf/5VGnNm3a8N5779nfVwcPHuTHH3+katWqlglWTk6OjJwWgYIkWOuAj4AgIBij\nxPo7Sql3Mab5fa21TizIiymlKtu+fh2QBfQD7gCeBcoAcUqpcGAzxqjZ8vwFLkqD7r16sXzBAvt+\nCQBetn/y8vH644dveXIyD4001mlVq1aNatWqFfj1mjdv7jR5sRISEuJ0tNDKPffcwz333FPg+AED\nBjBgwIACx48aNYpRo0YVOH7SpElMmmRZn8XS9OnTeeWVV0wJmbOCIi+++CKDBw82JbjOyvgOGzaM\nO++80xTfvn17y/g+ffpQv359U/ydd95pGX/HHXdw7do1U7xVcgUQEBBAnz59TPFNmjSxjK9Tpw7t\n2rUzxTt7D5YtW5ZKlSqZ4p11JhkZGZw7d850/uLFi5bxR48eJTk52XT+/vvvt4zfsmUL//3vf03n\nAwICLBOsNWvW8Nprr5nOV6hQwTLBWr58uWX8rFmzLBOshQsXMmfOHMv4f/3rX6bzs2fPvqH4CRMm\nOMQrpfD29mbGjBm88MILpvgpU6bYpxznTXDHjRtnOeX47bffZunSpab44cOHW045Xrp0Kd+WkDLE\n06dPB4z/pgEBAfzrX/+yHLUWwsfHh8DAQAIDAxk9ejRaa44cOeJQHn7btm0kJCSQkJBg/5n19/d3\nSLj8/f1l5N+DeHt788qrrzJ2/Hiio6P5adUqLhw6RCU/Px4aOZLP+/W76WJlderUYeTIkYy0fSY8\nceIEsbGx1HRSkfrdd99lzpw59vdVREQErVu3lqTrJv1pgqW1/h14Mt/poX/x9coAU4EWQDawG+ij\ntd4LoJR6CvgMqIZtH6y/+DoerV+/fox94QUOnj5Nk5o1qVLXmxW8b4qrUtf4QHrw9GkS9u7l8379\nXN3UUqFMmTI3tDarVq1aTkcLrbRq1crpaKGV3I61oB544AEeeOCBAscPHjyYwYMHFzh+zJgxjBkz\npsDxU6ZMYcqUKQWOf/XVV3nppZdMCVnlypUt45977jnLEVBnCeITTzxhOQIaFBRkGX/fffdZjoA6\nm1IbGhrKyJEjTfFWyRUYH6B69eplircavQKoUaMGzZs3N8U7W/js5eWFj48POTk55OTkoLUmKyvL\nMhbg/PnzHD9+3PK8lf379xMbG2s636tXL8v4pKQkFi9e7PT1i4JSqirwIdATOANM0FovdRI7E/gH\nxhYjH2qtzcOyNmPHjiU2NpYNGzawfft2pyWVz5w5Q9WqVfHx+SvLoEVJpJSiUaNGNGrUiIEDBwLG\nz1hCQoI96UpMTGTPnj3s2bPHvibn1ltvdZhWePvttzudjSGKjwoVKjBs2DCXFCarU6eO5cOtXBs2\nbODQoUMcOnTI/ru4SpUqzJ0794Y+CwhHN1xFsMA3VioHaJy/imAh3bvEV2t6ZfJk1n31lX0xpDOZ\n165x94wZdO3bl1defdWFLRRCeLrcdaw5OTkopSw/8KelpXHhwgVTAlejRg3LUcqDBw9y7NgxU0Lc\nokULyyQ3OTmZHTt2MHjwYJdVEVRK5SZTw4DbgZVAqNZ6V764kRj7QObOMV8NvKm1Nj3xytsvXbly\nheTkZJo3b2751Lhv376sXr2aTp062Z8ad+7cGT+//MuQhfjDtWvX2LRpk0O1wlOnTjnElC1blpCQ\nEPuDuLCwsBua0SJKn+zsbLZv3+4wenrkyBG+/fZby8Jx27Zto1atWk5HxEoKl5dp/9MbKjUAY8e0\nkcAyIEZr/U4hv0aJT7Cys7MZ8PjjnN67t0CLIZfYqgAKIYQnclWZdqVUBeAc0Fprvd927lPgmNZ6\nQr7YWIw9Hz+wHQ8DntRam4Yrb6RfCgsLIz4+3uGcl5cXiYmJTtemCpGf1poDBw44rOPatWuXKa51\n69YO07+aNGki0wrFdR09epQaNWpYFlnp2LEjSUlJNG/e3J7IR0RE0KJFixL1vip2CZYrlIYEC4wk\na0pUFPPnzy+yxZBCCFEcuDDB6oCx56JvnnMvYOy52Cdf7HmgZ271W6VUEPCz1to0P/VG+6VTp045\njERs376ds2fPWn6gWbJkCW3atKFNmzaF8rv+0qVLREdH8/OqVaSnpeFXuTLde/WiXyGs/xDu9fvv\nvxMfH29PujZs2EBmZqZDTO3atR3Kw3fo0EG2KBEFkpOTw7333suvv/7KpUuXHK7t27ePpk2buqll\nhU8SrFIgb2d4IT2dSn5+0hkKIUoUFyZYEcDnWuu6ec49CQzQWnfPF5uFMdK1x3bcDPhNa23Kcm62\nX8rMzLRcO5Oamkr16tUB8PPzIzQ01P7huGvXrjf0xNj+0G7ePEL9/Xk4OPiPh3ZJScTv2cOo0aOZ\nFBkpD+1KiMzMTJKTkx325Pr9998dYipUqECnTp3s76vOnTs7XeMqBBjTVbds2WJ/X+3fv5/k5GTT\n76OcnBwmT55Mp06dCAsLs/8u8wSSYAkhhPB4Lh7BitFaV8xz7nmgi5MRrB5a6yTb8e3AGmcjWJF5\n9q3JX4b+rzpy5AgTJ04kJiaGQ7a9DsHYpHb//v0Fvk9Bp50Pe/99avn7y7TzEkprzZ49exymFe7d\nu9chRilF27ZtHaYVNrTYm1OIP7N9+3batm1rP27VqhXh4eF0797dctsUd8q/N2NUVJQkWEIIITyb\ni9dgpQIBedZgfQKkOFmD9aHWeqHtuFDWYP1VKSkp9g/F1atXJ9JiI9ItW7bw2muv2T8ct2rVCi8v\nrxsqnHTPzJl06dNHCieVEqdPn7ZPV42NjSU5OdlUAbN+/foO0wrbtWsnCbj4U4cPH2bBggXExsay\nfv16+/6hERER/Prrr25u3fXJCJYQQgiP56oEy/Zan2GUXR8OBALfAGFOqgg+g1HOHWAVRhXB/2dx\nz2LRL73xxhs8//zz9uOqVavSqVMnYn75hW2zZtG4Zk0iF3zN+ePZpq+tUtebqJEPcvD0aTpOmsSR\nY8dkGnopdPnyZTZs2GBP5uPi4kzbMlSqVInOnTvbk65OnTpRsWJFJ3cUAq5evcrGjRuJjY2lVq1a\nDBo0yBSzcuVKZs+ebU/kQ0ND3bZpu8cmWEqp5sBW4D9a6yds5wYA04Hq2PbB0lqbNlspLh2ZEEKI\nwuHiBCvvPlhngXFa62W29Vnfaq398sTOwEjENPD/tNYvOblnseiX9u3bx3fffWf/cJySkgKAf716\n/PbGGwA8G7mCv+0aAUA22XhjjESsaPU+b0b9DYD758zhoZEjXbJPjyjecnJy2Llzp0NRloMHDzrE\neHt706FDB3tVufDwcOrVq+emFgtP9eKLL/Laa6/Zj5VStGnThrFjx1omZEXJkxOsH4BywGGt9RNK\nqQAgHugNbAL+H+CltTZN0iwuHZkQQojC4coEqygUx35Ja82RI0cY0K8f9zVuzISHHgIcE6w3eINN\nbCKAAK7VSeXtcQPwr1OHj9eu5afUVBZHR7vzWxDF1PHjxx2mFW7atInsbMdR0caNG9tHIsLDwwkI\nCMDLy8tNLRae4OzZs8TFxdnXCCYlJXH16lUWLlxo+bDn7NmzVKlSpUg2bffIBEsp1Q/oC+wEmtkS\nrGlAI631IFvMbcAuoJrWOiPf1xe7jkwIIcRfJwlW0Xmwd2/+0bYtfTp2BBwTrKd5mt3sdoivUakS\nY+67j8S0NL769luXt1d4nosXL7J+/Xr7B+P4+HguXLjgEFOlShVCQ0PtSVfHjh1lCqq4ritXrpCU\nlIS/v7/lxsZ9+vTh559/tk9Xzd20vVKlSjf92jfbJxV+yvcnlFJ+QBTQHXgyz6UAIDb3QGt9QCl1\nFfDHGNESQgghxA3yq1yZcxkZltfmMY997GMb2/ih0v/I8L7AyfPnKVumDJX8/EzxCQkJtGjRgqpV\nqxZ1s4UHqVixIt27d6d7d2Ong+zsbLZt2+ZQHv7o0aN89913fPfddwD4+PgQFBTkMK2wVq1a7vw2\nRDFTrlw5IiIinF4/deoUFy9eZPXq1axevRowNm1fv349QUFBrmqmJZcnWMCrGPPYU/LVy68IpOWL\nTQNuPg0VQgghSqnuvXqxfMEChliUjffBh5a2f3zqn2PuK305dOYMoz/9lIdGjnSIzcrKokePHmRk\nZBAQEGD/UBwREUGTJk1uaE8uUbLlrsnq0KED//znPwFjy4G867i2bt1KYmIiiYmJvP766wA0a9bM\noTx8ixYt5H0lnEpISODkyZMO76sdO3bQunVry/jFixfTrl07AgICirwKpkunCNr2H1kMdNBaZyml\nIoGmtimCX2LsTTInT3w6xt4km/Ldp9hOxRBCCHHjZIpg0bl06RIN69Vjw9SpNLmJKoInT57kscce\nY/369WRmZtrP+/r6cv78+SJZByFKrvT0dBISEuwjXAkJCVy6dMkhpnr16oSFhdmTruDgYMsNuYXI\n5WzT9t9//50aNWoAf2zanvu+stq03aPWYCmlngWmAhcAhTFq5YWx1up7oHG+NVg7gepWa7CKYkNH\nIYQQrlHYmzq6W3FOsIAb2gfr7hkz6Nq3r9N9sDIzM+3llmNiYihXrhzRFsUwTpw4wTvvvENERASd\nO3emcmXT/sxC2F27do0tW7Y4TCs8ceKEQ0zZsmUJDg62j3CFhYVRvXp1N7VYeJLDhw8zYcIEYmNj\nOXz4sP1806ZN2bdvnyne0xKsckDeSd3/AhoBTwG1gTjgPmAz8B5GFcGBFvcp1h2ZEEKIGyMjWEUr\nOzubAY8/zum9e/lwxAiaWCwYP3j6NEMXLKB2ixYsiY6+6Sk00dHR9O9vFAJWStG2bVsiIiJ44IEH\nuOeee27q3qLk01pz6NAhe7KVO/0rv5YtWzpMK2zatKlMKxTXdezYMfu0QmebtntUgmV68TxTBG3H\n/YCZQDVkHywhhCg1JMEqetnZ2UyJimL+/Pl0bt6ch4OCqOrry7mMDJYnJ5Owdy+jR4/m5cmTC2V9\nwubNm1m8eDGxsbEkJydz7do1AJ5++mneeeedm76/KH1SU1OJj4+3fzhev349V65ccYipWbOmQ3n4\nwMBAbrnlFje1WHgqj06w/ipP6MiEEEIUnCRYrnPp0iWio6P5edUqLqSnU8nPj+69etGvX78iK5t9\n+YWAS5sAACAASURBVPJlNmzYQGxsLKGhoZbT+l9//XW+//57+0hEp06dqFixYpG0R5QMV69eZePG\njfZRrtjYWM6cOeMQU758eUJCQuzvq9DQUKpUqeKmFgtPIQmWEEIIjycJlrjnnnv44Ycf7Mfe3t60\nb9+eOXPm0K1bNze2THgKrTV79+51qCr322+/OcQopWjTpo1DFcxGjRrJtELhQBIsIYQQHs8VCZZS\nqirwIdATOANM0FovdRIbCUwErmAUZdJAO631ISfx0i/dpBMnTjgUONi0aRPZ2dkkJiYSEhJiij9+\n/Di1a9fGy8vLDa0VnuLMmTPExcXZ31tJSUn26aq56tat67COq127dlIVs5STBEsIIYTHc1GClZtM\nDQNuB1YCoVrrXRaxDmuEC3Bv6ZcKWUZGBomJidxxxx2Usah82LRpU1JTUwkLC7OPRoSEhFC+fHk3\ntFZ4iitXrpCUlGRP5OPi4khNTXWI8fX1pXPnzvakq3PnzlSqJNuyliaSYAkhhPB4RZ1gKaUqAOeA\n1lrr/bZznwLHtNYTLOIlwSrGLly4QJs2bThy5IjD+VtuuYWzZ8/Kh2FRYDk5Oezevdth9HT//v0O\nMV5eXrRv394+whUeHk79+vXd1GLhCpJgCSGE8HguSLA6ALFaa988514A7tRa97GIjwSeA7KBE8Db\nWuv3rnN/6Zfc4OjRow4fjLOzs9m6dasp7vLlyyxZsoSIiAhatGgh623EdZ08edJhHdemTZvIyspy\niGnYsKHDtMKAgIBCqb4pigdJsIQQQng8FyRYEcDnWuu6ec49CQzQWne3iG8JnAdOAZ2B5cAYrfUy\nJ/eXfqkYuHbtmuV0wl9++YUuXboAUL16dcLCwoiIiKBbt2507NjR1c0UHubSpUusX7/eYVphenq6\nQ4yfnx+hoaH2pCskJARfX18ndxTFnSRYQgghPN5Nd2ZKrQG6YBSjyC8WeAbzCNbzQBerESyL+48D\ngrXWjzq5rvNuVtm1a1fLUuTCPTZs2MCsWbOIjY3lxIkT9vN9+vThyy+/dGPLhCfKzs5mx44dDqOn\nhw8fdojx8fEhMDDQYVph7dq13dRi8WfWrl3L2rVr7cdRUVGelWAppRYBdwG+GNMuZmutF9qu3QXM\nBxoAicBQrfURi3tIgiWEECWIi9ZgpQIBedZgfQKkWK3Bsvj6sUCI1voRJ9elX/IAWmsOHTpk/1Ac\nFhbGE0+Yl9mtWLGCb7/91l48o1mzZjKtUFzXsWPHHKYVbtmyhZycHIeYpk2bOpSHb9mypVTBLKY8\nbgRLKdUK2Ke1vqaU8gfWAfcCR4D9GNWdvgGmAndorUMt7iEdmRBClCAuqiL4GcYI13AgEKOvCXNS\nRfBB4Bet9XmlVAjwBTBea73Yyb2lXypBhg4dyscff2w/rlmzJuHh4Tz33HPceeed7muY8BgXLlwg\nMTHRnszHx8eTkZHhEFO1alX7dNXw8HA6duxIuXLl3NRikZfHJVgOL65UC2ANxtSNqsBgrXXE/2/v\n3sOjqu99j7+/EMI9gtw8RhDkpiBiIJBCKKJ1S0/PPgL1PI+4a9V6Qa1ybPe29jxVgaDbavu4aytq\nvVS7vVS2FXFXd9tNHzXVJEAAy1XFcBdRAkgAEwSSfM8fM0wzySQmZjJrZvJ5+fCYWfObyWctFus3\n31m/9Vvh57oB+4Hz3f3Deq9TRyYikkYCuA/WfuDHJ6+pCl+j9Ud3zwo//h1wCZAJ7CY0ycUjTby3\n+qU0snbtWt54443Ih+N9+/YB8OqrrzJjRsMRpdXV1bpvkjSpurqa9evXR/apoqIi9uzZE9UmMzOT\n8ePHRwquyZMn069fv4ASt28pWWCZ2SPANUBX4F1gKnAf0Mndb6nTbgMwz92X1nu9OjIRkTSSiAKr\nLalfSl/uzpYtWygqKmLGjBmceuqpDdpMnTqVioqKqOttzjzzTA0rlEa5Ozt37oy6jmvjxo3UP46M\nHDkyaljh8OHDtV8lQEoWWAAW2jsmAdOAnwG/BsrrjoU3syLgCXd/tt5r1ZGJiKQRFViSqqqrq+nT\np0+DWeWys7MpLS3l9NNPb+SVItEqKipYvnx5pOgqLS3l6NGjUW369esXVXCNGzeOzMzMgBKnr5Qt\nsCIBzB4D3gOGAhnufmud59YD83UGS0QkvanAklT2xRdfsHr16sgkB8XFxbg7+/fvbzCJgbvz5ptv\nMnHiRN0QWZp0/Phx1q5dGzWssLy8PKpNly5dmDBhQtSwwt69eweUOH2kQ4H1JPA5sAm4ps41WN2B\nciAn1jVYmg5XRCR1xXtK3KCpwJK6amtr2bNnD2eccUaD57Zs2cLw4cPp0KEDY8eOjRpWGKu9yEnu\nztatW6OGFb7/foM5ehg9enTUfjVkyBANK2yhlCqwzKwfcBGhmZuOErrQ+GXgCmAFUEZoFsE/AgsJ\nzSI4Ocb7qCMTEUkjOoMl7cWqVau45ZZb+Nvf/kZ1dXVk+cSJE1m5cmWAySQVHThwgJKSkkjRtWrV\nKo4fPx7V5rTTTosUW1OmTGHs2LExb8gtf5dqBVZfQgXVeUAHYCfwS3d/Ovz8RcAjwCBC98G6RvfB\nEhFJfyqwpL2prKyktLQ0MqRw4sSJFBQUNGhXWlrKsmXLyM/PZ+LEiXTv3j3Gu4mEfPHFF6xZsyZq\nuOqBAwei2nTr1o28vLxI0TVp0iSysrICSpycUqrAihd1ZCIi6UUFlkhsd955J/fddx8AGRkZ5OTk\nkJ+fz+zZs8nLyws4nSQ7d2fz5s2RIYXFxcWUlZVFtenQoQNjxoyJGlY4aNCggBInBxVYIiKS8lRg\nicT21ltvsXTpUoqLi1m7di21tbUAPProo9x8880Bp5NUtHfv3qhhhWvWrIkargowcODAqNkKx4wZ\nQ8eOHQNKnHgqsEREJOWpwBL5ckeOHGHlypUUFRVx5ZVXMmzYsAZtbrzxRj7++OPImYgJEybQpUuX\nANJKqqiqqmLVqlVRwwoPHToU1aZnz55MmjQpUnTl5eXRo0ePgBK3PRVYIiKS8lRgibSeu5Odnc0n\nn3wSWZaZmUlubi7PPvssQ4cODTCdpIra2lree++9qGGF27dvj2rTsWNHzj///Eghn5+fn1b3fFOB\nJSIiKS8RBZaZ3QJcA4wBfufu135J+x8CdwBdgCXAze5+opG26pckcO7Orl27oj4Yb9iwgQ4dOnDw\n4MGY993auXMngwYN0jTe0qQ9e/ZETQ+/du1aampqotoMGTIk6jquUaNGNbgPXKpQgSUiIikvQQXW\nTKAWmA50barAMrPpwG+BC4FPgFeB5e7+k0baq1+SpFRRUcHGjRuZMmVKg+cOHz5M79696dOnT9T1\nNuPGjSMzMzOAtJIqPv/8c1auXBkpulasWMGRI0ei2vTq1YvJkydH9qsJEybQtWvXgBK3jAosERFJ\neYkcImhm9wDZX1JgvQBsd/e7wo8vAl5w9//RSHv1S5Jy1q1bx/Tp09m7d2/U8mHDhjWYaU6kKTU1\nNWzYsCFyhquoqIjdu3dHtenUqRPjxo2LGlbYv3//gBI3TQWWiIikvCQssNYC/+ruvw8/7gOUA33d\n/WCM9uqXJCW5O9u2bYv6YDx27FhefPHFBm137NjBO++8Q35+PkOGDNGwQmnSrl27ooYVrl+/nvrH\nyeHDh0cNKxw5cmRS7FcpVWCZWSbwKHAx0BvYAtzp7n8OP/8NYBEwkNCNhr+nGw2LiKS/JCywtgDf\nd/dl4ccZwHFgsPolSXfV1dVkZGQ0WP7II49w6623AnDaaadFPhRPnz6dc845J9ExJcUcOnSIFStW\nRIqulStXUlVVFdWmb9++UcMKx48fT+fOnROeNdUKrG7A7cAz7v6Rmf0v4EXgXKAS2ApcC7wO3At8\n3d0nxXgfdWQiImmk1Z2Z2VvABUCszqHY3afWadvcM1j3uvvL4cenAvto4gzW/PnzI4+nTZvGtGnT\nvuLaiCSn119/nSeffJLi4mIOHDgQWX733XezcOHCAJNJKjpx4gTr1q2LOnv66aefRrXp3Lkzubm5\nkWJ+8uTJ9OnTJ+5ZCgsLKSwsjDwuKChInQIrZgCzdcACoC9wtbtPCS/vBuwHznf3D+u9RgWWiKSN\n+XPmU/FhRYPlvUb0ouCJggASJV4SnsF6Adjm7neHH18EPO/uMechVr8k7Ym7s3nz5siH4uuuuy7m\nJBoPPvgg27Zti3w4HjRoUABpJVW4O9u3b4+aBXPTpk0N2p1zzjlR13ENHTo07sMKU+oMVoNfbjYA\n2A6cD3wf6OTut9R5fgMwz92X1nudOjIRSRu3TbuNWX+d1WD50guW8svCXwaQKPESNItgR6ATMA84\nA7gBqHb3mhhtpwPPAN8APgVeBla4+52NvLf6JZF6cnNzWbNmTeTxwIEDyc/PZ8GCBYwcOTLAZJIq\nPvvsM5YvXx4pukpLSzl27FhUmwEDBkTNgpmTk0OnTp1a9XtTtsAKj2f/E1Dm7t83s6eA8rpT4JpZ\nEfCEuz9b77XqyEQkbajASliBNR+YT/QwwgJ3X2hmA4FNwCh33x1u/wPg/xG6D9bL6D5YIi1SVFTE\nO++8Q1FRESUlJVRUhM7Ub926lbPOOqtB++PHj2t6eGnSsWPHePfddyNnuIqKiti/f39Um65du5KX\nlxcpuiZNmkSvXr1a9Hta2yc1vIIxASx0Hu954BgwN7z4cyCrXtMs4AgxLFiwIPKzxrqLiKSW+uPd\nE8HdC4CYYy7d/SPq9UHu/hDwUAKiiaSlKVOmRIYO1tbW8t5771FaWsqQIUMatK2trSU7O5vBgwdH\nPhjn5+dz+ukxR+VKO9W5c2cmTZrEpEmTuP3223F3ysrKooYVbt68OaqPMTPOPffcqGGFZ555ZpvO\nVhjIGSwzexoYBHzL3Y+Hl91A9DVY3QlNiZuja7BEJJ3pDFZir8FqC+qXRFpny5YtnH322dTURI/Y\nHTVqFBs2bKBDhw4BJZNUs2/fPkpKSiJF1+rVqzlxInrwQXZ2dtT08Oedd17UzJkpdwbLzH4NnA1c\nfLK4ClsK/MzMZgF/JDRGfl394kpERERE0suwYcOoqKigtLQ08sG4pKSEvn37xiyuKioqWL9+PRMm\nTKBr164BJJZk1a9fP2bMmMGMGTMAOHr0KKtXr44MKSwpKeHjjz/mpZde4qWXXgKgR48efO1rX4sU\nXa2V6GnaBwE7gC+Ak19ROHCju78YnqXpEUJnt1YC1+h+IyKS7jSLoM5giUhD1dXVHDhwgAEDBjR4\n7pVXXuGyyy6jU6dOjBs3Lmr4V//+/QNIK6mitraWDz74IGp6+G3btjVol5KTXLSGOjIRkfSiAktE\nWuKVV15h4cKFrF+/nrr/9q677jqeeuqpAJNJKvrkk0+ihhWuWrVKBZaIiKQ2FVgi8lUcOnSIFStW\nRCY4uP7667niiisatFu6dCllZWXk5+eTm5tL586dA0grqSJlp2lvDXVkIiLpRQWWiLSlSy+9lNde\new0IzUSXm5tLfn4+119/PcOHDw84nSQbFVgiIpLyVGCJSFtasmQJf/nLXygqKmLTpk2R5e+8805c\nJjWQ9KICS0REUp4KLBFJlIMHD7J8+XKKioqYN28eXbp0adBm2rRp9O3bNzJxRk5ODp06dYrL76+q\nqmLx4sW8uWwZhw8dIuuUU7jokkuYPXs23bp1i8vvkNZRgSUiIilPBZaIJIv9+/fTr1+/qGVdu3Yl\nLy+PP/3pTzELsuaoqanhnoICFj38MJNGjOCy3Fx6d+/OwcpKlqxezfIPP+TWuXO5e/58OnbsGI9V\nka9IBZaIiKS8RBRYZnYLcA0wBvidu1/bRNurgd8AVYARuqXIP7r72420V78kkibcnbKyssgU3sXF\nxWzevJlhw4ZRVlbWoP2JEyfYs2cPgwYNwiz2YaympoZ/uvxyysvKeHrOHIbEmEp+e3k51z7xBANG\njOCFxYtVZAVIBZaIiKS8BBVYM4FaYDrQtRkF1nXuPrWZ761+SSSN7du3j48++ohx48Y1eG7FihVM\nmjSJ7OzsyI1q8/PzOe+888jIyABgwbx5/PU//5M///jHdG5iqOGxEyf45gMPcMGMGSxYuLDN1kea\nlnIFVlPfIJrZN4BFwEBCNxr+nm40LCKS/hI5RNDM7gGyVWCJSDwsWbKEG264gYMHD0YtnzlzJkuX\nLqWqqopB2dmsvvdeBvfvz/zH/0DFnpoG79Pr9I4U3Hgp28vLmXD33ezavVvXZAWktX1SRjzDNNPH\nwD2Ev0E8udDM+gBLgGuB14F7gf8AJgWQUUREJMfMyoHPgOeB+9y9NuBMIpJkLrvsMmbNmsUHH3wQ\nGVJYXFxMbm4uAIsXL2bSiBEMDg8L/GBrOSN35DGGMfTj79d6LeUJAIb078/Xhg9n8eLFXHtto98D\nSRJLeIHl7q8CmNkEILvOU98GNrr7K+HnFwD7zWyEu3+Y6JwiItKu/RU41913mtlo4CXgBPBAsLFE\nJBl16NCBUaNGMWrUKObMmQNAbW3o+5g3ly3jsnCxBfBexVZeYhkAAxjAueH/jpyojLS5bPx43li2\nTAVWigriDFZjRgPrTj5w9yoz2xpergJLREQaZWZvARcQmoyivuLmDvU7yd131Pl5k5ktBG6niQJr\nwYIFkZ+nTZvGtGnTWvIrRSTNdOjQAYDDhw7Re9CgyPL+XfowkT5sYhN7w/+9wRv8z6P5kTa9u3fn\nyI4diY7cbhUWFlJYWBi390umAqsHUF5v2SGgZwBZREQkhbj7hQn4NU2Ox69bYImInJR1yikcrPz7\n2alzew9l1qdzqKGGHexgAxvYyEZO7/r3j7wHKyvpmZUFwNy5c+nUqVNk8owBAwYkfB3SXf0vxQoK\nClr1fslUYH0OZNVblgUcidVY3xSKiKSueH9b2Bxm1hHoBHQEMsysM1Dt7g2uNjezbwLvunu5mZ0N\n3EXoumARkRa56JJLWPL441xT77NqRzoyNPzfTGaytNMTkeeWrFnDt2+8kRMnTvD0009TVVXFL37x\nCwCGDh3KlClTeOihh+jVq1ciV0WaKbBp2uvP4mRmNwBXu/uU8OPuhM5o5dS/BkuzNYmIpJcETdM+\nH5hP9DDCAndfaGYDgU3AKHffbWY/B74LdAf2As8B98YqxsLvrX5JRGI6OYvgqnvvZUgLZxHMzMyk\nsLAwMnnG8uXLqayspGfPnhw8eDDmvbKOHTtG586dE7FqaSsVp2k/+Q3iPOAM4AagGugNlBGaRfCP\nwELg6+4+OcZ7qCMTEUkjiZymvS2oXxKRprTkPljT77+faTNnxrwPVnV1NevXr2fnzp3MmjWrwfO7\ndu1i+PDh5ObmRu7JNXnyZPr27RvX9Ul3qVhgNfUN4kXAI8AgQvfBukb3wRIRSX8qsEQkndXU1PBP\nl19OeVkZT8+Zw5DwlO11bS8v53uPP85pI0fywuLFMc9OfZnXXnuNGTNmUP94NGvWLF555ZWvnL+9\nSbkCKx7UkYmIpBcVWCKS7mpqarinoIBFixbxteHDuWz8eHp3787BykqWrFnDirIy5s6dy13z5n2l\n4uqkiooKli9fHhlWWFpayrXXXsuiRYsatN2xYweffvop48aNIzMzszWrl1ZUYImISMpTgSUi7UVV\nVRWLFy/mzWXLOHL4MD2zsrjokkuYPXs23bp1i/vvO378OJWVlfTu3bvBcwUFBSxYsIAuXbowceJE\n8vPzI3/a8wQaKrBERCTlqcASEUm8hx56iCeeeIL333+/wfLbbrstoFTBU4ElIiIpTwWWiEhwDhw4\nQElJCcXFxRQVFfGrX/2KcePGNWi3aNEiampqmDJlCmPHjiUjI5nu+BQ/KrBERCTlqcASEUl+Q4YM\nYceOHQB0796dvLw8pkyZwty5c9NqpkIVWCIikvJUYImIJLfa2lqeeeaZyOQZZWVlQOj4feDAgZjX\neKUqFVgiIpLyVGCJiKSWvXv3UlJSQllZGXfccUeD56uqqhgzZgx5eXmRe3Kde+65rZohMVHSrsAy\ns97A08A/APuAn7j7i/XaqCMTEUkjbV1gmVkm8ChwMaEb228B7nT3Pzfxmh8CdwBdgCXAze5+opG2\n6pdEROooLCzkwgsvjFqWlZXFpZdeynPPPRdQquZpbZ/UIZ5h4uRR4AugH3Al8JiZnRNsJBERSXEZ\nwC7g6+5+CjAPeMnMBsVqbGbTCRVXFwKDgaFAQWKiioikvqlTp7J+/Xoee+wxvvOd7zB48GAOHz5M\nZWVlzPYVFRXs2bMnwSnbRlIVWGbWDfg2cJe7H3X3YuAPwHeDTZY8CgsLg44QCK13+9Ne1729rndb\nc/cqd1/o7h+FH/8XsB0Y38hLrgJ+4+4fuPsh4B7ge4lJmzipvL8pe+Klam5Q9iC8/fbbjBkzhptu\nuonnn3+e7du3s3v3bu6///6Y7X//+9+TnZ3NWWedxVVXXcXjjz/Oxo0bqa2tTXDy1kuqAgsYAVS7\n+9Y6y9YBowPKk3RS9R9Za2m925/2uu7tdb0TzcwGAMOBTY00GU2o/zlpHdA/PIw9baTy/qbsiZeq\nuUHZgxArd3Z2NiNGjIjZvqKigh49erB9+3aee+45brrpJsaMGcO8efPaOGn8JVuB1QM4VG/ZIaBn\nAFlERCQNmVkG8DzwW3f/sJFm9fujQ4Ch/khEpE386Ec/4uDBg7z77rs8/PDDzJ49mzPOOIO8vLyY\n7V9//XWWLl1KeXl5gpN+uWS7O9jnQFa9ZVnAkQCyiIhIijCzt4ALgFgzTRS7+9RwOyNUXB0D5jbx\nlvX7o6zwe6s/EhFpIxkZGeTk5JCTk8Ott94K0OgQwfvuu4/ly5cDMGLEiMhMhTNnzuTUU09NWOZY\nkmoWwfA1WJ8Bo08OEzSzfwc+dvef1GmXPKFFRCQuEjFNu5k9DQwCvuXux5to9wKwzd3vDj++CHje\n3U9vpL36JRGRNJJu07T/jtC3hDcAOcDrwGR3fz/QYCIiktLM7NfAecDF7l71JW2nA88A3wA+BV4G\nVrj7nW0eVEREUlqyXYMFcAvQDSgHXgBuUnElIiKtEZ6OfQ5wPrDXzI6Y2WEzuyL8/MDw4zMA3P2/\ngZ8BbxGabXA7sCCQ8CIiklKS7gyWiIiIiIhIqkrGM1giIiIiIiIpKaUKLDPrbWZLzexzM9t+cmhH\nujOzW8xslZl9Eb5Au10ws0wze8rMdpjZITNbY2bfDDpXIpjZc2a2J7zeH5jZdUFnSiQzG25mR83s\n2aCzJIqZFYbX+XB4+Fq7GRptZrPN7L3wsb3MzPKDztSYr3JcMrMfmtknZnYw/NpOicobI0uz+xMz\nu9rMquvsk4fNbGqissbI06K+MMm2e7M/v5jZfDM7Xm+7D07SrA+Y2X4z22dmDyQqYyNZmpU76O3b\nSKaW/LtMpv26WbmT7VgSztSiY3lLt3tKFVjAo8AXQD/gSuAxMzsn2EgJ8TFwD/CboIMkWAawC/i6\nu58CzANestC1FOnuPuDM8HpfCtxrZjkBZ0qkRUBp0CESzIHvu3uWu/d09/ZwbMPM/gH4KXC1u/cA\npgLbgk3VpBYdlyw0WcYdwIXAYGAoUJCYqDG1tD8pqbNPZrn7222Y7cs0O3sSbveWfn5ZXG+770hE\nyLBmZTWzGwn1T2MITR7zj2Y2J4E562vJNg5y+8bSrH07CffrlhxPkulYAi04ln+V7Z4yBZaFpnD/\nNnCXux9192LgD8B3g03W9tz9VXf/A6Ep7NsNd69y94Xu/lH48X8RutB8fLDJ2p67v+/uJ8IPjdCH\n76EBRkoYM5sNHATeCDpLANp8mvIktABY6O6rANz9E3f/JNhIjfsKx6WrgN+4+wfufojQh5HvJSZt\nQ6ncn7Qwe9Js91T6/NLCrFcBD9b5N/sgcE3CwtaRSts4lhbs20mzX0PKH09acixv8XZPmQILGAFU\nn7w/Vtg6YHRAeSTBzGwAMBzYFHSWRDCzR8ysEngf2AP8MeBIbc7Msgh9K/QvtM9i46dmVm5m75jZ\nBUGHaWtm1gHIBfqHhwbuMrOHzaxz0NmaqxnHpdGE+qqT1hFa395tnS1OcsL75Admdlf47ywVJNN2\n/yqfX/53eOjdBjO7qW3jRWlJ1ljbOKjPZC3dxkFt39ZKpv26pZL6WPIlx/IWb/ekWrkv0QM4VG/Z\nIaBnAFkkwcwsA3ge+K27fxh0nkRw91sI7fdTgFeAY8EmSoiFwJPu/nHQQQJwB3AWkA08CbxmZkOC\njdTmBgCdgMuAfEJTqOcAdwUZqrmaeVyq33cdIvTlQSr0XX8FznX3/oT+jq4AfhRspGZLpu3e0s8v\n/wGcQ2io2xxgnpld3nbxorQka6xt3KONcn2ZluQOcvu2VjLt1y2R1MeSZhzLW7zdU6nA+hzIqrcs\nCzgSQBZJIDMzQjv+MWBuwHESykNKgIHAzUHnaUtmdj5wMfBQ0FmC4O6r3L3S3U+4+7NAMfCtoHO1\nsaPh///K3cvd/TPg3whwvc3sLTOrNbOaGH/ertOuucel+n1XFqEhv3Hvu5qbvbncfYe77wz/vInQ\nFyD/J965If7ZSa7t/jlwSr2XNfr5JTwM6dPw8X858EvaaLvH0JLPWrG28edtlOvLNDt3wNu3tRK2\nX8dTIo8lLdXMY3mLt3tGvAImwIdAhpkNrXMKeCztZLhYO/cboC/wLXevCTpMQDJI/2uwLgDOBHaF\nD3g9gI5mNsrdc4ONFggnzYdJunuFme0OOkdd7n5hM5s297i0iVBf9XL48fnAXnc/+NVTxtaC7K3R\nJvtkG2RPmu0evj6oYys+vyTyWNCSz1ont/Hq8OPzG2mXCK35jJhKx9qE7dcJkCzbvDnH8hZv95Q5\ng+XuVYSGSS00s24Wmsb3UuC5YJO1PTPraGZdgI6EDiCdzaxj0LkSwcx+DZwNXOrux4POkwhm1s/M\nLjez7mbWITx7zWzSf9KHxwkVkecTOpD9GngduCTIUIlgZqeY2SUn/22b2XeArwP/HXS2BHgGFcc8\ntAAABABJREFUmBve73sDPwBeCzhTk1p4XHoWuM7Mzgmv352E1jkQLelPzOybZtY//PPZhIZuvpq4\ntA3ytKQvTJrt3tLPL2Z2qZn1Cv88Efi/JGi7tzDrs8A/m9npZnY68M+kwDYOcvs2pgX7dtLs19D8\n3Ml2LDmpBcfylm93d0+ZP0BvYCmhU3U7gMuDzpSg9Z4P1AI1df7MCzpXAtZ7UHi9qwidhj0CHAau\nCDpbG693X6CQ0Kw8FYQuprw26FwBbIf5wLNB50jg33kpoXHdnwElwEVB50rQumcAjxCaOXIP8Asg\nM+hcTeRt8rhEaDjvYeCMOq/5AfBp+N/zU0CnAPM32p/Uzw78PJz7CLAl/NqOqZA9Cbd7o59fCF1n\ne7jO498B+8Pr8x5wSzJkrZ8zvOx+4EA470+D2r4tyR309m0ke8x9O7xfH0ni/bpZuZPtWBLO1Oix\nPB7HEwu/SERERERERFopZYYIioiIiIiIJDsVWCIiIiIiInGiAktERERERCROVGCJiIiIiIjEiQos\nERERERGROFGBJSIiIiIiEicqsEREREREROJEBZaIiIiIiEicqMASERERERGJExVYIiIiIiIicaIC\nS0REREREJE4ygg4g0t6Z2TjgSsCBM4EbgBuBXkA2MM/dtweXUERE2gv1SSKtpwJLJEBmNgy42t1v\nCz9+BlgBXE3oDPM7wLvALwILKSIi7YL6JJH4UIElEqwfAD+q87g78Jm7rzCzM4AHgX8PJJmIiLQ3\n6pNE4sDcPegMIu2WmQ1094/qPN4NPOPud8doOx64ClgN5AM/d/etCQsrIiJpTX2SSHzoDJZIgOp1\nZGcDpwNv1W9nZpnAEiDP3fea2fvAi8DERGUVEZH0pj5JJD40i6BI8rgYOAaUnFxgZkPCP04Fjrj7\nXgB3Xw2cY2aDE5xRRETaB/VJIl+RCiyRgJhZFzN7wMxGhxddDKx39y/CzxvwL+HnBgMH6r3FQWA0\nIiIiraQ+SSR+NERQJDjfAm4H1phZNXAWUFHn+TuB58I/9wOq6r3+C6BnW4cUEZF2QX2SSJyowBIJ\nzl+BZ4DxQC6QBzxqZo8Bx4E/uPvKcNsKwOq9vgewP0FZRUQkvalPEokTzSIokgLM7ELg39w9J/y4\nI1AJjHH3skDDiYhIu6I+SaRpugZLJDW8DfQzs4Hhx9OATerIREQkAOqTRJqgIYIiKcDda8zsu8BP\nzGw5oc7s8mBTiYhIe6Q+SaRpGiIoIiIiIiISJxoiKCIiIiIiEicqsEREREREROJEBZaIiIiIiEic\nqMASERERERGJExVYIiIiIiIicaICS0REREREJE5UYImIiIiIiMSJCiwREREREZE4UYElIiIiIiIS\nJ/8f4Vw1VcOg4J4AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f956aa771d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"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)\n",
"\n",
"plt.figure(figsize=(12,3.2))\n",
"plt.subplot(121)\n",
"plt.plot(Xs[:, 0][ys==1], Xs[:, 1][ys==1], \"bo\")\n",
"plt.plot(Xs[:, 0][ys==0], Xs[:, 1][ys==0], \"ms\")\n",
"plot_svc_decision_boundary(svm_clf, 0, 6)\n",
"plt.xlabel(\"$x_0$\", fontsize=20)\n",
"plt.ylabel(\"$x_1$ \", fontsize=20, rotation=0)\n",
"plt.title(\"Unscaled\", fontsize=16)\n",
"plt.axis([0, 6, 0, 90])\n",
"\n",
"from sklearn.preprocessing import StandardScaler\n",
"scaler = StandardScaler()\n",
"X_scaled = scaler.fit_transform(Xs)\n",
"svm_clf.fit(X_scaled, ys)\n",
"\n",
"plt.subplot(122)\n",
"plt.plot(X_scaled[:, 0][ys==1], X_scaled[:, 1][ys==1], \"bo\")\n",
"plt.plot(X_scaled[:, 0][ys==0], X_scaled[:, 1][ys==0], \"ms\")\n",
"plot_svc_decision_boundary(svm_clf, -2, 2)\n",
"plt.xlabel(\"$x_0$\", fontsize=20)\n",
"plt.title(\"Scaled\", fontsize=16)\n",
"plt.axis([-2, 2, -2, 2])\n",
"\n",
"save_fig(\"sensitivity_to_feature_scales_plot\")\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"# Sensitivity to outliers"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure sensitivity_to_outliers_plot\n"
]
},
{
"data": {
"image/png": 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WravHjBmjT506lSPtCyEefg/bGCQbDQshhLirkJBRNr89bNp0FKtXZzx/rzxIGw3fb6+8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\nAex0nAGD+3CIAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f956b59a320>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"X_outliers = np.array([[3.4, 1.3], [3.2, 0.8]])\n",
"y_outliers = np.array([0, 0])\n",
"Xo1 = np.concatenate([X, X_outliers[:1]], axis=0)\n",
"yo1 = np.concatenate([y, y_outliers[:1]], axis=0)\n",
"Xo2 = np.concatenate([X, X_outliers[1:]], axis=0)\n",
"yo2 = np.concatenate([y, y_outliers[1:]], axis=0)\n",
"\n",
"svm_clf2 = SVC(kernel=\"linear\", C=10**9)#float(\"inf\"))\n",
"svm_clf2.fit(Xo2, yo2)\n",
"\n",
"plt.figure(figsize=(12,2.7))\n",
"\n",
"plt.subplot(121)\n",
"plt.plot(Xo1[:, 0][yo1==1], Xo1[:, 1][yo1==1], \"bs\")\n",
"plt.plot(Xo1[:, 0][yo1==0], Xo1[:, 1][yo1==0], \"yo\")\n",
"plt.text(0.3, 1.0, \"Impossible!\", fontsize=24, color=\"red\")\n",
"plt.xlabel(\"Petal length\", fontsize=14)\n",
"plt.ylabel(\"Petal width\", fontsize=14)\n",
"plt.annotate(\"Outlier\",\n",
" xy=(X_outliers[0][0], X_outliers[0][1]),\n",
" xytext=(2.5, 1.7),\n",
" ha=\"center\",\n",
" arrowprops=dict(facecolor='black', shrink=0.1),\n",
" fontsize=16,\n",
" )\n",
"plt.axis([0, 5.5, 0, 2])\n",
"\n",
"plt.subplot(122)\n",
"plt.plot(Xo2[:, 0][yo2==1], Xo2[:, 1][yo2==1], \"bs\")\n",
"plt.plot(Xo2[:, 0][yo2==0], Xo2[:, 1][yo2==0], \"yo\")\n",
"plot_svc_decision_boundary(svm_clf2, 0, 5.5)\n",
"plt.xlabel(\"Petal length\", fontsize=14)\n",
"plt.annotate(\"Outlier\",\n",
" xy=(X_outliers[1][0], X_outliers[1][1]),\n",
" xytext=(3.2, 0.08),\n",
" ha=\"center\",\n",
" arrowprops=dict(facecolor='black', shrink=0.1),\n",
" fontsize=16,\n",
" )\n",
"plt.axis([0, 5.5, 0, 2])\n",
"\n",
"save_fig(\"sensitivity_to_outliers_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"# Large margin *vs* margin violations"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 1.])"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn import datasets\n",
"from sklearn.pipeline import Pipeline\n",
"from sklearn.preprocessing import StandardScaler\n",
"from sklearn.svm import LinearSVC\n",
"\n",
"iris = datasets.load_iris()\n",
"X = iris[\"data\"][:, (2, 3)] # petal length, petal width\n",
"y = (iris[\"target\"] == 2).astype(np.float64) # Iris-Virginica\n",
"\n",
"scaler = StandardScaler()\n",
"svm_clf1 = LinearSVC(C=100, loss=\"hinge\")\n",
"svm_clf2 = LinearSVC(C=1, loss=\"hinge\")\n",
"\n",
"scaled_svm_clf1 = Pipeline((\n",
" (\"scaler\", scaler),\n",
" (\"linear_svc\", svm_clf1),\n",
" ))\n",
"scaled_svm_clf2 = Pipeline((\n",
" (\"scaler\", scaler),\n",
" (\"linear_svc\", svm_clf2),\n",
" ))\n",
"\n",
"scaled_svm_clf1.fit(X, y)\n",
"scaled_svm_clf2.fit(X, y)\n",
"\n",
"scaled_svm_clf2.predict([[5.5, 1.7]])"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"# Convert to unscaled parameters\n",
"b1 = svm_clf1.decision_function([-scaler.mean_ / scaler.scale_])\n",
"b2 = svm_clf2.decision_function([-scaler.mean_ / scaler.scale_])\n",
"w1 = svm_clf1.coef_[0] / scaler.scale_\n",
"w2 = svm_clf2.coef_[0] / scaler.scale_\n",
"svm_clf1.intercept_ = np.array([b1])\n",
"svm_clf2.intercept_ = np.array([b2])\n",
"svm_clf1.coef_ = np.array([w1])\n",
"svm_clf2.coef_ = np.array([w2])\n",
"\n",
"# Find support vectors (LinearSVC does not do this automatically)\n",
"t = y * 2 - 1\n",
"support_vectors_idx1 = (t * (X.dot(w1) + b1) < 1).ravel()\n",
"support_vectors_idx2 = (t * (X.dot(w2) + b2) < 1).ravel()\n",
"svm_clf1.support_vectors_ = X[support_vectors_idx1]\n",
"svm_clf2.support_vectors_ = X[support_vectors_idx2]"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure regularization_plot\n"
]
},
{
"data": {
"image/png": 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xc3PD3d2doKAgHnzwQd57772K3B0h7EqP53s9xmRLeouppCmCl/N+asBV4GaB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\nkQGWEEIIIYQQQtjI/wfh8gGqUDAqXQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9568959978>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12,3.2))\n",
"plt.subplot(121)\n",
"plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"g^\", label=\"Iris-Virginica\")\n",
"plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"bs\", label=\"Iris-Versicolour\")\n",
"plot_svc_decision_boundary(svm_clf1, 4, 6)\n",
"plt.xlabel(\"Petal length\", fontsize=14)\n",
"plt.ylabel(\"Petal width\", fontsize=14)\n",
"plt.legend(loc=\"upper left\", fontsize=14)\n",
"plt.title(\"$C = {}$\".format(svm_clf1.C), fontsize=16)\n",
"plt.axis([4, 6, 0.8, 2.8])\n",
"\n",
"plt.subplot(122)\n",
"plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"g^\")\n",
"plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"bs\")\n",
"plot_svc_decision_boundary(svm_clf2, 4, 6)\n",
"plt.xlabel(\"Petal length\", fontsize=14)\n",
"plt.title(\"$C = {}$\".format(svm_clf2.C), fontsize=16)\n",
"plt.axis([4, 6, 0.8, 2.8])\n",
"\n",
"save_fig(\"regularization_plot\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"source": [
"# Non-linear classification"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure higher_dimensions_plot\n"
]
},
{
"data": {
"image/png": 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9mbDnJPl3SS5P8pUktyT50VU92GKxOPqnSo6RC8swX/pWncsgn0Dn5PbJpU8ufXLpOxO5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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f95688c8048>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"X1D = np.linspace(-4, 4, 9).reshape(-1, 1)\n",
"X2D = np.c_[X1D, X1D**2]\n",
"y = np.array([0, 0, 1, 1, 1, 1, 1, 0, 0])\n",
"\n",
"plt.figure(figsize=(11, 4))\n",
"\n",
"plt.subplot(121)\n",
"plt.grid(True, which='both')\n",
"plt.axhline(y=0, color='k')\n",
"plt.plot(X1D[:, 0][y==0], np.zeros(4), \"bs\")\n",
"plt.plot(X1D[:, 0][y==1], np.zeros(5), \"g^\")\n",
"plt.gca().get_yaxis().set_ticks([])\n",
"plt.xlabel(r\"$x_1$\", fontsize=20)\n",
"plt.axis([-4.5, 4.5, -0.2, 0.2])\n",
"\n",
"plt.subplot(122)\n",
"plt.grid(True, which='both')\n",
"plt.axhline(y=0, color='k')\n",
"plt.axvline(x=0, color='k')\n",
"plt.plot(X2D[:, 0][y==0], X2D[:, 1][y==0], \"bs\")\n",
"plt.plot(X2D[:, 0][y==1], X2D[:, 1][y==1], \"g^\")\n",
"plt.xlabel(r\"$x_1$\", fontsize=20)\n",
"plt.ylabel(r\"$x_2$\", fontsize=20, rotation=0)\n",
"plt.gca().get_yaxis().set_ticks([0, 4, 8, 12, 16])\n",
"plt.plot([-4.5, 4.5], [6.5, 6.5], \"r--\", linewidth=3)\n",
"plt.axis([-4.5, 4.5, -1, 17])\n",
"\n",
"plt.subplots_adjust(right=1)\n",
"\n",
"save_fig(\"higher_dimensions_plot\", tight_layout=False)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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ZrhWLmW0DxoBWhw23AucBq5uuXwXsafV47n53w+ZtZvYR4CyqFU5LExMTjI6O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\nikVERIJSxSIiIkGpYhERkaD+PyxX+smTKkCdAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9568a3e240>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.datasets import make_moons\n",
"X, y = make_moons(n_samples=100, noise=0.15, random_state=42)\n",
"\n",
"def plot_dataset(X, y, axes):\n",
" plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"bs\")\n",
" plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"g^\")\n",
" plt.axis(axes)\n",
" plt.grid(True, which='both')\n",
" plt.xlabel(r\"$x_1$\", fontsize=20)\n",
" plt.ylabel(r\"$x_2$\", fontsize=20, rotation=0)\n",
"\n",
"plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure moons_polynomial_svc_plot\n"
]
},
{
"data": {
"image/png": 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2MeyF3rOVUzgy5E1fzTCO4VzQEJ+H2FBdb1tSWsme6dV1UF3Hkc5e5gxXsu9U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\nKIqiWMn/B2wgVczCxQrbAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f95686e6518>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.pipeline import Pipeline\n",
"from sklearn.preprocessing import PolynomialFeatures\n",
"\n",
"polynomial_svm_clf = Pipeline((\n",
" (\"poly_features\", PolynomialFeatures(degree=3)),\n",
" (\"scaler\", StandardScaler()),\n",
" (\"svm_clf\", LinearSVC(C=10, loss=\"hinge\"))\n",
" ))\n",
"\n",
"polynomial_svm_clf.fit(X, y)\n",
"\n",
"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)\n",
"\n",
"plot_predictions(polynomial_svm_clf, [-1.5, 2.5, -1, 1.5])\n",
"plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])\n",
"\n",
"save_fig(\"moons_polynomial_svc_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure moons_kernelized_polynomial_svc_plot\n"
]
},
{
"data": {
"image/png": 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tDd6kuPg4wbkF+G66MycrL0WjA4g0sDp1ycnGI9OGOxONRnJM0+mxSc7yNPY1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\nASEiIiIiIpGpgBARERERkcj+H6axNTvFrlIEAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9568708630>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.svm import SVC\n",
"poly_kernel_svm_clf = Pipeline((\n",
" (\"scaler\", StandardScaler()),\n",
" (\"svm_clf\", SVC(kernel=\"poly\", degree=3, coef0=1, C=5))\n",
" ))\n",
"poly100_kernel_svm_clf = Pipeline((\n",
" (\"scaler\", StandardScaler()),\n",
" (\"svm_clf\", SVC(kernel=\"poly\", degree=10, coef0=100, C=5))\n",
" ))\n",
"\n",
"poly_kernel_svm_clf.fit(X, y)\n",
"poly100_kernel_svm_clf.fit(X, y)\n",
"\n",
"plt.figure(figsize=(11, 4))\n",
"\n",
"plt.subplot(121)\n",
"plot_predictions(poly_kernel_svm_clf, [-1.5, 2.5, -1, 1.5])\n",
"plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])\n",
"plt.title(r\"$d=3, r=1, C=5$\", fontsize=18)\n",
"\n",
"plt.subplot(122)\n",
"plot_predictions(poly100_kernel_svm_clf, [-1.5, 2.5, -1, 1.5])\n",
"plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])\n",
"plt.title(r\"$d=10, r=100, C=5$\", fontsize=18)\n",
"\n",
"save_fig(\"moons_kernelized_polynomial_svc_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure kernel_method_plot\n"
]
},
{
"data": {
"image/png": 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MycT6Zz+/i4iIiJ/Vdfwe03cdiD3AEyLymTGmJTBNREpnpZsItMVa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\nTBkIERERERFJmDIQIiIiIiKSsP8Hz7NSdMHpeJgAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9568839898>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def gaussian_rbf(x, landmark, gamma):\n",
" return np.exp(-gamma * np.linalg.norm(x - landmark, axis=1)**2)\n",
"\n",
"gamma = 0.3\n",
"\n",
"x1s = np.linspace(-4.5, 4.5, 200).reshape(-1, 1)\n",
"x2s = gaussian_rbf(x1s, -2, gamma)\n",
"x3s = gaussian_rbf(x1s, 1, gamma)\n",
"\n",
"XK = np.c_[gaussian_rbf(X1D, -2, gamma), gaussian_rbf(X1D, 1, gamma)]\n",
"yk = np.array([0, 0, 1, 1, 1, 1, 1, 0, 0])\n",
"\n",
"plt.figure(figsize=(11, 4))\n",
"\n",
"plt.subplot(121)\n",
"plt.grid(True, which='both')\n",
"plt.axhline(y=0, color='k')\n",
"plt.scatter(x=[-2, 1], y=[0, 0], s=150, alpha=0.5, c=\"red\")\n",
"plt.plot(X1D[:, 0][yk==0], np.zeros(4), \"bs\")\n",
"plt.plot(X1D[:, 0][yk==1], np.zeros(5), \"g^\")\n",
"plt.plot(x1s, x2s, \"g--\")\n",
"plt.plot(x1s, x3s, \"b:\")\n",
"plt.gca().get_yaxis().set_ticks([0, 0.25, 0.5, 0.75, 1])\n",
"plt.xlabel(r\"$x_1$\", fontsize=20)\n",
"plt.ylabel(r\"Similarity\", fontsize=14)\n",
"plt.annotate(r'$\\mathbf{x}$',\n",
" xy=(X1D[3, 0], 0),\n",
" xytext=(-0.5, 0.20),\n",
" ha=\"center\",\n",
" arrowprops=dict(facecolor='black', shrink=0.1),\n",
" fontsize=18,\n",
" )\n",
"plt.text(-2, 0.9, \"$x_2$\", ha=\"center\", fontsize=20)\n",
"plt.text(1, 0.9, \"$x_3$\", ha=\"center\", fontsize=20)\n",
"plt.axis([-4.5, 4.5, -0.1, 1.1])\n",
"\n",
"plt.subplot(122)\n",
"plt.grid(True, which='both')\n",
"plt.axhline(y=0, color='k')\n",
"plt.axvline(x=0, color='k')\n",
"plt.plot(XK[:, 0][yk==0], XK[:, 1][yk==0], \"bs\")\n",
"plt.plot(XK[:, 0][yk==1], XK[:, 1][yk==1], \"g^\")\n",
"plt.xlabel(r\"$x_2$\", fontsize=20)\n",
"plt.ylabel(r\"$x_3$ \", fontsize=20, rotation=0)\n",
"plt.annotate(r'$\\phi\\left(\\mathbf{x}\\right)$',\n",
" xy=(XK[3, 0], XK[3, 1]),\n",
" xytext=(0.65, 0.50),\n",
" ha=\"center\",\n",
" arrowprops=dict(facecolor='black', shrink=0.1),\n",
" fontsize=18,\n",
" )\n",
"plt.plot([-0.1, 1.1], [0.57, -0.1], \"r--\", linewidth=3)\n",
"plt.axis([-0.1, 1.1, -0.1, 1.1])\n",
" \n",
"plt.subplots_adjust(right=1)\n",
"\n",
"save_fig(\"kernel_method_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Phi(-1.0, -2) = [ 0.74081822]\n",
"Phi(-1.0, 1) = [ 0.30119421]\n"
]
}
],
"source": [
"x1_example = X1D[3, 0]\n",
"for landmark in (-2, 1):\n",
" k = gaussian_rbf(np.array([[x1_example]]), np.array([[landmark]]), gamma)\n",
" print(\"Phi({}, {}) = {}\".format(x1_example, landmark, k))"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"Pipeline(steps=(('scaler', StandardScaler(copy=True, with_mean=True, with_std=True)), ('svm_clf', SVC(C=0.001, cache_size=200, class_weight=None, coef0=0.0,\n",
" decision_function_shape=None, degree=3, gamma=5, kernel='rbf',\n",
" max_iter=-1, probability=False, random_state=None, shrinking=True,\n",
" tol=0.001, verbose=False))))"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rbf_kernel_svm_clf = Pipeline((\n",
" (\"scaler\", StandardScaler()),\n",
" (\"svm_clf\", SVC(kernel=\"rbf\", gamma=5, C=0.001))\n",
" ))\n",
"rbf_kernel_svm_clf.fit(X, y)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure moons_rbf_svc_plot\n"
]
},
{
"data": {
"image/png": 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p3SBD+BIoA2JU8IMH7xvqA3Fn1JHx5OXZ3wk6nR4JMucvHGnppbPrMZMjdyL6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\nAgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f956882ac88>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.svm import SVC\n",
"\n",
"gamma1, gamma2 = 0.1, 5\n",
"C1, C2 = 0.001, 1000\n",
"hyperparams = (gamma1, C1), (gamma1, C2), (gamma2, C1), (gamma2, C2)\n",
"\n",
"svm_clfs = []\n",
"for gamma, C in hyperparams:\n",
" rbf_kernel_svm_clf = Pipeline((\n",
" (\"scaler\", StandardScaler()),\n",
" (\"svm_clf\", SVC(kernel=\"rbf\", gamma=gamma, C=C))\n",
" ))\n",
" rbf_kernel_svm_clf.fit(X, y)\n",
" svm_clfs.append(rbf_kernel_svm_clf)\n",
"\n",
"plt.figure(figsize=(11, 7))\n",
"\n",
"for i, svm_clf in enumerate(svm_clfs):\n",
" plt.subplot(221 + i)\n",
" plot_predictions(svm_clf, [-1.5, 2.5, -1, 1.5])\n",
" plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])\n",
" gamma, C = hyperparams[i]\n",
" plt.title(r\"$\\gamma = {}, C = {}$\".format(gamma, C), fontsize=16)\n",
"\n",
"save_fig(\"moons_rbf_svc_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"# Regression\n"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"from sklearn.svm import LinearSVR\n",
"\n",
"rnd.seed(42)\n",
"m = 50\n",
"X = 2 * rnd.rand(m, 1)\n",
"y = (4 + 3 * X + rnd.randn(m, 1)).ravel()\n",
"\n",
"svm_reg1 = LinearSVR(epsilon=1.5)\n",
"svm_reg2 = LinearSVR(epsilon=0.5)\n",
"svm_reg1.fit(X, y)\n",
"svm_reg2.fit(X, y)\n",
"\n",
"def find_support_vectors(svm_reg, X, y):\n",
" y_pred = svm_reg.predict(X)\n",
" off_margin = (np.abs(y - y_pred) >= svm_reg.epsilon)\n",
" return np.argwhere(off_margin)\n",
"\n",
"svm_reg1.support_ = find_support_vectors(svm_reg1, X, y)\n",
"svm_reg2.support_ = find_support_vectors(svm_reg2, X, y)\n",
"\n",
"eps_x1 = 1\n",
"eps_y_pred = svm_reg1.predict([[eps_x1]])"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure svm_regression_plot\n"
]
},
{
"data": {
"image/png": 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1+EcbUSFazvrTE5lxeiBzTtKGLhmnLV1yLjc3l0GDBpGSksKXX36Js7NzqefRNudu3rzJ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\nEEKIMub/ARNxm8MxpT3DAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9568a177f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def plot_svm_regression(svm_reg, X, y, axes):\n",
" x1s = np.linspace(axes[0], axes[1], 100).reshape(100, 1)\n",
" y_pred = svm_reg.predict(x1s)\n",
" plt.plot(x1s, y_pred, \"k-\", linewidth=2, label=r\"$\\hat{y}$\")\n",
" plt.plot(x1s, y_pred + svm_reg.epsilon, \"k--\")\n",
" plt.plot(x1s, y_pred - svm_reg.epsilon, \"k--\")\n",
" plt.scatter(X[svm_reg.support_], y[svm_reg.support_], s=180, facecolors='#FFAAAA')\n",
" plt.plot(X, y, \"bo\")\n",
" plt.xlabel(r\"$x_1$\", fontsize=18)\n",
" plt.legend(loc=\"upper left\", fontsize=18)\n",
" plt.axis(axes)\n",
"\n",
"plt.figure(figsize=(9, 4))\n",
"plt.subplot(121)\n",
"plot_svm_regression(svm_reg1, X, y, [0, 2, 3, 11])\n",
"plt.title(r\"$\\epsilon = {}$\".format(svm_reg1.epsilon), fontsize=18)\n",
"plt.ylabel(r\"$y$\", fontsize=18, rotation=0)\n",
"#plt.plot([eps_x1, eps_x1], [eps_y_pred, eps_y_pred - svm_reg1.epsilon], \"k-\", linewidth=2)\n",
"plt.annotate(\n",
" '', xy=(eps_x1, eps_y_pred), xycoords='data',\n",
" xytext=(eps_x1, eps_y_pred - svm_reg1.epsilon),\n",
" textcoords='data', arrowprops={'arrowstyle': '<->', 'linewidth': 1.5}\n",
" )\n",
"plt.text(0.91, 5.6, r\"$\\epsilon$\", fontsize=20)\n",
"plt.subplot(122)\n",
"plot_svm_regression(svm_reg2, X, y, [0, 2, 3, 11])\n",
"plt.title(r\"$\\epsilon = {}$\".format(svm_reg2.epsilon), fontsize=18)\n",
"save_fig(\"svm_regression_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"SVR(C=0.01, cache_size=200, coef0=0.0, degree=2, epsilon=0.1, gamma='auto',\n",
" kernel='poly', max_iter=-1, shrinking=True, tol=0.001, verbose=False)"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.svm import SVR\n",
"\n",
"rnd.seed(42)\n",
"m = 100\n",
"X = 2 * rnd.rand(m, 1) - 1\n",
"y = (0.2 + 0.1 * X + 0.5 * X**2 + rnd.randn(m, 1)/10).ravel()\n",
"\n",
"svm_poly_reg1 = SVR(kernel=\"poly\", degree=2, C=100, epsilon=0.1)\n",
"svm_poly_reg2 = SVR(kernel=\"poly\", degree=2, C=0.01, epsilon=0.1)\n",
"svm_poly_reg1.fit(X, y)\n",
"svm_poly_reg2.fit(X, y)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure svm_with_polynomial_kernel_plot\n"
]
},
{
"data": {
"image/png": 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zZzRNI7B3U/ZHjsvkH5Mxyue1d9+12vUIgj1SunTptKGJ2IsX0wUc6H3OUocd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0AAAg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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9568a08be0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(9, 4))\n",
"plt.subplot(121)\n",
"plot_svm_regression(svm_poly_reg1, X, y, [-1, 1, 0, 1])\n",
"plt.title(r\"$degree={}, C={}, \\epsilon = {}$\".format(svm_poly_reg1.degree, svm_poly_reg1.C, svm_poly_reg1.epsilon), fontsize=18)\n",
"plt.ylabel(r\"$y$\", fontsize=18, rotation=0)\n",
"plt.subplot(122)\n",
"plot_svm_regression(svm_poly_reg2, X, y, [-1, 1, 0, 1])\n",
"plt.title(r\"$degree={}, C={}, \\epsilon = {}$\".format(svm_poly_reg2.degree, svm_poly_reg2.C, svm_poly_reg2.epsilon), fontsize=18)\n",
"save_fig(\"svm_with_polynomial_kernel_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"# Under the hood"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"iris = datasets.load_iris()\n",
"X = iris[\"data\"][:, (2, 3)] # petal length, petal width\n",
"y = (iris[\"target\"] == 2).astype(np.float64) # Iris-Virginica"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure iris_3D_plot\n"
]
},
{
"data": {
"image/png": 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VdgOBwpZNDIivPaW+F2rWLbdegJrqEcRmhAQEQWwytNqvsmhDOAfWG4G4JwVziVIbbZAj\nVLETzL1HzQyyXO47DbQIJYTC1u12w2az8f9Xa0sbyrWnN3oh11SPohcEsfGQgCCITYBW+1WpgfVG\n2q8aGYGQijZo6UmxEQQTF8Baa9BgxbUkLgg1GHXthZKWpyZ6IddUD8CatCi67gli/SABQRBRjBb7\nVVYQvbKywtuvRvrAWi1GiyKz2cwfz41GWFgbanFttNRdSA0SCWPRcozVXHtKtrRCcSIlbPVGL4SR\nOjFy0YtIvO4JIhohAUEQUYac/apctEHY7M1utyM5Odkw+1WjCDUCIe6AHRsba4goiiZ7Y63FtUb1\nHSAINWl5woG+kmOZ1shZqNELYVM9qb4XdN0ThDp0CYjc3Fz6okUxubm5G70JhAZYrrCagmix/Wps\nbGxY7Fc3go1OwQp3wbeRhDrAEzv3kCUtoRXhNWKkLa0aUwGl6IW4sFspekFN9QhCHl1P3IGBAYM2\ngyAIKYQF0T6fDwsLC7KWqtFsv6pmUL7eKVibPZ1G6wBPzpJWT1MzYv2JlOtaa+RMzpZWq7hVkxoF\nICDCK/48NdUjCEphIoiIRMp+1Ww2r3n4b7T9ariRijYkJSVtaMH35YLaAZ7W2ePNcF0S4UUpcgaE\nt9+KlugFe034XmqqR1wu0FOYICIENfarbKae+blvFvtVk8kUULS8mQu+NwNqUqNCsaQlCDUYXfdj\ndPSC2dJ6PB6YTCZ+wkMqekE1R0S0QgKCIDYQrQXRHMdhaWkJPp/PsL4GkYJQFEVywTehTDBxAcjb\nggLA8vIyWdKGiWip3dGDlroftZbIoUYvPB4PLxRCbapH0QsiUiEBQRAbgJz9qtRDQjgbDwBWqxVJ\nSUmb5oHCChnZDLXdbofNZtvQ/Qs2C3k5DMTCgbDmQkoYLi0tITY2dk1hdzRa0kYyl+uxUlP3ozY1\nT0rc6o1eKDXVY1EXaqpHRAokIAhinRA+IFj+rFK0Qcp+dWlpaVO4KYn3LyYmhhdGxOWNnBgIlpqi\nZ3BHEIDxtrR+v1+ydk1p3VKoaaonFb2gyB0RTkhAEESYUWu/CoAviJazX4322W+fzweXywW32w2L\nxcLvHyuUJgg5Qh3ckSXtB0TzvWOjURO9ENf9MJHL+tTIGQuw5SutW+k9waIXSk31gq2bIOQgAUEQ\nYUBNQTRDbL9qs9kUc/+jbRAQLc3siOhF7eBOmPd+uVrSbrb9iRSkCruXl5dht9v5KISccxSgT+Dq\niV4I10nRC0ILJCAIwkCk7FflUpSE9qsxMTGIi4sLmp4UTTfzYNEUIdEeWSEiGza405v3Tpa0hBaE\n149WY4H1sKVl66emekQokIAgCJ1ojTYIC6K12q9G+kD7cog2sNxmYnOgJjUq2MxxtNRdRPK943Il\nmLGAnMA16ho0InpBTfUuT0hAEEQIaLVfFTZDs1qtSEhICKnZW6QKCC3RBikibb/owUcAoVnSKhXV\nRkJqCF3b64ea4ulgaKn9kboG9aTnKUUvtDTVE/e8oOjF5oAEBEFoQCgaghVEM/tVVkBnVDO0SBlo\ns2iDy+UCx3GbJtrACr29Xm9APvDl0Ojs6aefxjPPPANg9bpOTk7G7t27cc011+ALX/gCtm3bZvg6\n77vvPnR0dODtt98Oy/v18swzz+CXv/wlxsbGcOedd+LHP/4xAHUzx+Ki2lAsaV999VUsLy/jrrvu\nClj+eh+H6elpTExMYNu2bUhPT1+XdUYz63Gf1lrYrTY9T030Qk1qFICAZ6X48xS9iG5IQBBEEPTY\nr7Jmb6wTqV4i4aYqjjaoqd0IxkZHIMRRIpvNxjd/Erv5sP1cWVmJ+JSVUEhJScGrr74KjuOwsLCA\npqYm/OxnP8Mvf/lLvPrqqygtLTV0fV/96lfhcrnC9n49NDQ04Omnn8aTTz6JEydOICMjQ/VnpYpq\nGVosaV9++WXMzMzgjjvuCLjO1vM4AMCPfvQj/OAHP8Arr7yCq666at3WG+1s5D1B6zUo1TFeT2G3\n8Ld43QA11Yt2SEAQhAyh2q9aLJawNUPbqIE2x33QJZpFG1JSUqJ+Vt7v98PlcmFlZYU/b4mJibwQ\nFO8fe93n88FkMimmrESrVWhMTAzKy8v5/19zzTX4u7/7O3zkIx/B3Xffjfr6ekP3JS8vL6zv10NX\nVxdMJhPuueceJCYmGrZcrWkpwKpgFQ7stm/fDrPZDI/Ho/o605NS86UvfQk//OEPUVFREdLnLzeM\nSF8KJ0rXILA2ehGssFtLcbWa6IWSLa1U9GKzTeREA9H99CcIg2EzzisrK3waCwDJGyPHcXC5XJif\nn8fi4iKf8pGcnAy73R6Wm9h6Cgh2A3c4HJibm4PH40FcXBxSUlIQFxdnqHhY7/1yu91YXFzE/Pw8\nOI5DUlKSqvPGZvRMJhNsNhtiY2MRHx+PhIQEJCQkwG6389EYJi6cTiccDgccDgecTicvNFnRfaSk\npCmRnJyMb33rW+jv78ef//xn/vUzZ87gox/9KDIzM5GXl4eHHnoIS0tLAZ/9y1/+ghtvvBE7duzA\nrl27cOONN6KlpYX/+xe+8IWAGe3Ozk7ceuutyM3NRVZWFo4ePYqf/exnsu8HgFdeeQXV1dXYunUr\nDhw4gG9961t8tBBYTfe56qqr8NZbb+H48ePIysrCqVOn0NnZKbvP9913Hz7/+c8DALKzs5Gamoq/\n/OUvuOGGG/DpT3864L3vv/8+UlJSApandp3i43PTTTehra0NFosFDz30EH7/+9/j9OnTyMrKws6d\nO/GjH/0IdrsdDz/8MD784Q/D5/PB7XbD6XTixRdfRFVVFbZu3Yr9+/fjm9/8Ji88OI7DAw88gFOn\nTmk6DoyzZ89i//79SEhICPpeIvph97qYmBj+XhcXF8ff61jkmUVq2SSaw+HA0tISlpeX+ckZj8ej\n6X4nFCMsCiGMRphMJt7+nN1fFxcXsbCwgNnZWczOzsLhcPA9h6LpXhtNUASCIBB++9VoQtyXYjNF\nG1gUxWQyITY2VrEmJZQCdzXpAnry4TeSkydPwmKxoKamBtdeey3Onj2Lm2++GTfddBNeeOEFzMzM\n4IknnsD8/Dz+67/+CwDw3nvv4WMf+xiuuuoq/Pu//zvi4+Nx9uxZjIyMoLi4GMDa79kdd9yBoqIi\n/PznP4fNZkNPTw8WFxf5v4vf/+abb+Izn/kM7rrrLnz7299GW1sbnnrqKczOzuL73/8+/76hoSE8\n/vjjeOSRR2C32/EP//APuPvuu3H27FnJ/f3qV7+K7OxsfPe738Uf/vAH2O127Nu3T/b4SJ2nYOsM\ndnweeeQRDA0NYWFhAd/73vfAcRyys7MDBlOxsbH8cbjvvvtw55134qmnnkJrayuefvppzMzM4Omn\nn+YnR4aGhvD1r38dX/nKVxAbG4vHH39c8Tgwzp49i8rKSsX3EB8Q6REIPQSLoAFrzQXYv8NtS8tq\nLlh0Tswbb7yBnTt34sSJE1p3mxBBAoK4bGE3NnZzA9Q3e9Nqv2oU4ZqpFwsjq9WK+Pj4kJyiQiHc\n+8WiSUbXpKhFTcqKUh+CSBAXNpsN6enpmJiYAAA88cQTqK6uxi9+8Qv+PVlZWbjpppvQ2dmJoqIi\nfPOb30RJSQleeeUV/j3XXnut5PI5jsPMzAwGBgbw0ksvYf/+/QBWhYsS//iP/4irrrqKL26+9tpr\nwXEcnnzySTzyyCPIysoCAMzNzeFPf/oT8vPzAax+p++66y709PSgsLBwzXLz8vL495aVlSE+Pl7V\ncRISbJ3Bjk9+fj7S0tLAcVxAWpnScfjJT34CALj++uthsVjw5JNP4mtf+xoyMzNhsVgwPz+P//3f\n/0VOTg5/X/vsZz+LpqYmFBYWyjpGnTlzBkeOHMG//uu/AgAGBgbw/PPPaz4mxOZGjbmAki2t8F4p\ndR2quefJmV5wHIempiYyATCI6J5SJAiNCAsWXS4Xf+OSGpCxG9vS0hLm5+fh9XoRHx8flhQetRg9\n0GY1AAsLC3A4HLBYLEhJSUFiYmJUR1X8fj+cTifm5+exvLwMq9WK1NRU3j43kmDXHksVsNvtiqkC\nrNibpUWxVAG32w2PxxMQRTMatlyn04mamhp87GMf40W4z+fDsWPHYLVa0dDQgOXlZdTV1eHOO+9U\nvfy0tDTs3LkTDz/8MF555RVMTU0pvt/v96OpqQm33HJLwOu33norfD4fzp8/z7+Wk5PDD+QBYN++\nfeA4DiMjI6q3TytK6wzl+Mih5jiw7/KuXbtQWFjIX2clJSW8eLPb7XyKHkvldDqdmJ2dRX19PbZu\n3Yp77rkH9957L1599VXMzs5SWogMmzkCoQe5+x1LBY2Li+OvQwAB1yG73ymlgiodd5PJhOnpaRIQ\nBhFZT1KCCBNa7VdZtMFkMm1YtEEKIwTERkcbpGDr1fPQldqvUPttqFnXeqCl2FbORcWoJmcrKyuY\nmZnBtm3bMDc3B5/Ph6985Sv48pe/vGabh4eHMTc3B47jsH37dk37+7vf/Q5PPfUUHnzwQSwvL+PY\nsWN47rnnUFJSsub909PT8Hg8a+xl2f9nZ2f511JSUgLeY7PZACCsTkZK6wzl+MhhxHFgBhBSs8bN\nzc3YunUrvvjFL8Lv92NxcZFPK3M4HBETJYskSEBoR3hfCtWWVnhfZNfg7OwstmzZArPZjJmZGU1u\naoQ8JCCITYtW+1WxjedGpLqoIdTBK0tXYAOmSBJGehCnl7HCZj37Jbw+HA4HhoeHAwbyHo8HCQkJ\na/pEiAdRSj96UXrYivOQWc1FMItGpWvrnXfegdfrRVVVFVJSUmAymfDYY4/h+uuvX/PerKwsJCUl\nwWw2Y2xsTNN+FRYW4le/+hV8Ph9Onz6Nb3zjG7j99tslC33T09NhtVoxOTkZ8DpLs9qyZYumdavB\nbrfD7XYHvCYcoKslNTU1pOMjRbiPw5kzZ3DllVfy98PTp0+jvLycT69Sm5IivuaAyLCmJqIDNXVm\nTqcTZrOZv/4cDgfKy8vh8XiQm5sLs9mM733ve9i3bx8KCgpQUFCAnJwcWK3Wdd6b6CfyRkcEoRMt\n9qssPCq28YzUh5rW7VrPWXm9sAGsmu1iESWWhhauKMrMzAzq6uqQmZmJ2NhY3laQHU+htSH7t7Bo\nkP14vV5cuHABWVlZ/INKjdAQu5GYTCY4nU4kJSWt6eyqZVksRYVtB4NF6JaXlwPev7CwgMcffxx7\n9uzBhz70IZhMJhw9ehQ9PT145JFHZI9fRUUFXnzxRXzuc5/TfOwtFguuvPJKPPjgg7jnnnswNzeH\n1NTUgPeYzWYcPnwYv/vd7/DZz36Wf/2VV16BxWLB0aNHNa83GNnZ2Th9+nTAa0JnKrXEx8erOj5W\nqzVolCTcx+HMmTMB6VGvvPIKbr75ZgwODsJqtSIzM1NXlEwuchFp9ygtUARifRFeL1arlb8eY2Nj\ncfHiRczMzKC/vx9f//rXkZmZiYaGBrz88svo6+vDyMgIsrOz8dxzz+HjH/94SOv/0Ic+hHPnzsFq\ntYLjOOzcuRMdHR2G7V8kQgKC2BQI7VeFM1tyDzVhs7do6qCsNoVJ7Di0WaINUv0owrVf8/PzqK+v\nR1lZWUDIm11naotqOY5DQ0MD0tPTUVZWxp9D4YBK7kf8vrm5ObS3t6O4uBg2m41/D8sDFkYb5IQN\n+33p0iXelpd9bmBgAC6XCz//+c9hMpngcrnQ19eHP/7xj3C73XjiiSfw9ttvw2Kx4Pbbb8fXvvY1\nTE9P4/jx48jIyMDExATOnDmDBx98EDk5Obj33ntx//3346/+6q9w++23IyEhAU1NTSgpKcE111wD\ns9nMfw9Z07rvfve7+NjHPoa8vDzMz8/j+9//PkpKStaIB8Zjjz2GW2+9Fffffz9uu+02tLW14Tvf\n+Q7uvvtuvoDaSG688Ua88MIL+NrXvoZTp07h3XffxZtvvhnSsp588knccsstuPXWW/GZz3wG8fHx\nOH/+PI4cOYJTp04BAPbu3Yv/+Z//weuvv44dO3YgKysLmZmZa5YVruPAcRzOnTuHZ599ln/tzTff\nxBNPPIHXXnsN9913n+xn1aakBHPrkUvDIwgxcs/HLVu2IC0tDcCqw5rw+vF4PLh48SKSk5NDXq/J\nZMKPf/zcf57YAAAgAElEQVRjfOYznwl5GdEGCQgiqhHar/r9fiwsLPCpAUKEAoN1UI6NjY26QmEl\nARFN0QYplPZN3P063DUbDocDdXV1OHTokK58WY7j0NLSAq/Xi4qKigALQrl8czkWFxfR0dGBa6+9\ndk2uu1b6+vpgNptRVVXF58ADQGNjI1555RV84xvfgMlkQlJSEvLy8nDXXXfh05/+NNLS0viIyu7d\nu5GZmYlnn30W3/3udwEAmZmZOHbsGJKTk+F2u3Hw4EH88z//M/7jP/4Djz76KGJiYlBYWIjS0lIM\nDAzw31mn04n6+nqcPXsWHMfhmWeewczMDBISEnDw4EHceeedeOONN2A2mzEyMoLFxUW8/fbbMJvN\nsNlsePTRR/HSSy/h17/+NdLS0nDrrbfi1ltvRVNTE8xmM+bm5uByudDV1cUPQMfHx2EymTA1NcWn\nqIm73i4vLwMA39vCbDbj6quvxje+8Q38/Oc/xwsvvICPfvSjePbZZ/HJT35S1bEXXrPHjx/Ha6+9\nhm9/+9v43Oc+B6vVitLSUtx00038e+655x60tLTggQcewNzcHB599FE8+uija5Z7zTXX4D//8z/x\n/PPP47e//S22bt2Khx56CI899hj/Hrnvl9L3aGJiAjk5Odi9ezf/2kc/+lH893//N8rKynRNvCh9\nD9Tku4sjFsJzt9FQBGL9EWYcKCH+u9VqxZ49ewxb/+WCKcgOX15Hg4gK5OxXTSYTZmdnA3oWSNmv\n2u32qJ2JZ7PQwpxmqWiDzWaLun2cm5vjU3OADyJFLpdrXc+d0+nE6dOnkZubi5ycnDV/Z6lTahpq\ndXR0YG5uDpWVlboGWsvLyzh79iyKioqwY8eOkJcDAIODg+jr68OxY8f4HgKhwCwRvV4vjhw5siay\nIv63OBdeOOjz+/04d+4cYmNjceTIEcl1iWeo5f69srKC2tpaZGZmIjs7O2hURyn64/F40NnZiby8\nPFitVsWOvMHSx4BVYZqWlqYpZY39W0u6mtx3hN0jhKIxGhGmRUldc4CxBgKh4HK5eIFLrA8cx8Hh\ncMh2jXe5XPibv/mbkFIOg3H11Vejvb0dHMdh3759+Pa3v72m4WUUI/mFoQgEERUIBxCsO7TUw8Bk\nMvEP+UhyGTIKtv1sFlhc9M0GHdEIG4CKow3r2ahvZWUFZ8+eRX5+PrKzs2W3Uw09PT2Ynp5GVVWV\nLvGwsrKCmpoaFBQU6BYPY2Nj6OnpQVVVlS7xAADt7e1YWVlBRUWFqrRB8YCPFdp6vV40NjYiLi4O\ne/fuhdvtliy0lVu2EJ/Ph5qaGuzdu5fvIxEqfr8fNTU1OH78OA4ePCj5Hqn8fnH6GNvn1tZWeDwe\nbN++XVawCAvdlYTN2NgYlpeXsXPnTtn3SIkNn88Hs9nMC3GTycSnfcqZAmitsxGKHWFEx8jUI6Xr\nQarugh1X9vp61V1E6704WgkW9Zmeng6LsQIAPPfcczhw4ABsNhtefPFF3HTTTWhqagqwcd5skIAg\nIhot9qvswbm4uMg/JDdD3r8QdgwWFhb4aEMkF32rReiY4ff7N6QuxePx4Ny5c8jOzkZ+fv4apx0t\nDAwMYGRkhO+LoGebampqkJ2djdzc3JCXAwBTU1NobW1FZWWlquiJEj09PZoiK3IDPlYfEh8fj9LS\nUj5SGIodrd/vR319PeLi4lBUVKRr/ziOQ2NjI2w2Gw4cOKB5v8R0dnbCbrfjyiuv1H1Nj4+Pw+Fw\n4MMf/rDieZQSFqw43mKxwO9f7ZVSW1uLnJwcbN++fY3w0SpsLl26BLPZjG3btikKG2FkRRxlYefW\n6/XC6/UiOTlZl7ARLx/44D7KItnsNanUKLHAUAulMK0/wY75zMxM2HpACI0K/vZv/xYvvvgi/vCH\nP+CBBx4Iy/oiARIQRMQhfIhptV8FwDei2Sw3b6l9jI+P3xShcaELFrCaixoXF7fu547NXGdkZGDv\n3r26clmHh4fR39+PY8eOwW6369qmuro6pKen687PnZ2dRWNjI44cOaKrUBAwThwBq1EMj8eDo0eP\n8rPhwmMmtqMVD2YB8IPCtrY2+Hw+7N+/X3UutBxtbW0B26WHCxcuYGJiAseOHdMtHmZmZtDS0oKK\nioqgIlAqlYkNpK1WK7xeLzo6OnDgwAHJTtxauXTpElZWVoJe92rSxzweD+rq6rBlyxZkZmau+bsw\nyqNG2MzPz2NoaAiFhYVBIzZA4CSVVN2Sw+FAamoqYmJiYLFYEBMTsybVzOPxwGaz8Y5AeqI6hDrU\nRCDWqweEWsOTaIYEBBExCEVDqParS0tLm+amK9XQLjExEXNzc1HhGCUHE0QulyvABcvhcGxIUbvf\n70dtbS0SEhJ0p72Mj4+js7MTVVVViIuL07VNdXV1iI+P1z2bvri4iPr6epSUlOgO34+MjODChQu6\nxRHwQRSjqqoKZrNZ8mErdPBRKrRtb2+Hy+XCkSNHeKtdqTQeNakqPT09mJ+f57dLD8PDw7h48SKO\nHTumW/AvLCygoaEBhw8flnWkUgu7vlJSUgwRD+Pj4+jp6VF1XSjVaAi3bdeuXSguLta9bQ6HA2fP\nnsVNN92kaD4QTNSwqMzo6CiGh4f5uhhmGc7SStl17Ha7+SimMOIhrtcYHR2F2+1GVlaWpLARHjOp\nHxbFYQJnaWkJKSkpa9LHtEZsolHYbFQEYn5+HufOncNVV12FmJgYvPTSS3jvvffwL//yL4avK5Ig\nAUFsKOwmymwoAX32q9Gu+sXRBqmGdpF441aDlOiz2WwBM3zrfe5YCk1MTAxKSkpUHVu57ZyenkZL\nSwuOHj0qW8SndpuamppgsVhQXFys63wvLy+jpqYG+/fv1+3cNDExgY6ODlRWVqq2sJVDGMXQ06zR\nZDKhv78f8/PzayIi4poLpeJn9u9Lly5heHgYx48f191EcnJy0hAxCayex9raWuzfv1+3KxgANDU1\nISYmRra2QwtaoiJqaGlpgclkwqFDh3Qvi9UP7d27N+j1H0zYAKuRvImJCZw6dSpAxElFytxuNy+M\n5a63yclJOJ1OHDt2TPbYqYnYsOt6fHwc/f392LVrF1/0L/5hz1q5Wh3he+fn5zE+Po68vDzdwsZs\nNvPdzuPi4gwTNkJjDTUCIhwRCI/Hg69//evo6uqCxWJBUVERXnvtNUPEeSRDAoJYd4QF0ewmpuSO\nIS6qVbJfjVYBoaWhXTTto5QgipSeGxzHobm5GV6vV3eqyuzsLBoaGlBWVoaUlBRd29Xa2gq32617\nm4wsvp6ZmUFzczPKy8uRlJSka1lGRjEGBwcxNDQkmU7FBi5SiItsWf5+Z2cnKioq+CaBoebBz87O\noqmpCeXl5brEJLA6k11TU4Pdu3frPo/Aaj3GysqKIelZi4uLhkVFAKCrqwvLy8uorKzUvW1erxe1\ntbXIzs7Grl27dG+bw+HgI3nifZWKlHk8HsTGxvIiQjhA5zgOk5OTqKurQ1lZGYBV9zep602NsAFW\nr7mxsTFcd911hpwLYeRm69ata/6uRdj4/atuiHV1ddi2bRu2bt0qK2yCLUsodi5duoRjx47xA/Vg\nz8Xp6Wns3btX97ERk5GRgfPnzxu+3EiHBASxbsjZr0rdHNkNR2i/qmbgGe2D66SkpKAzn9Gwj36/\nHy6XS1OH7/Xer8bGRt4lic2MqX1YCxGmCOkNj3d1dWFxcRGVlZW60mdY8fWOHTt0F18LU2dYI6ZQ\nmZycNCyKocdRSlz8PDU1hf7+fpw4cQJJSUmyjlF+vz/gs1LFtux6KC0t1X282CA4KysLeXl5upYF\nAP39/ZiensYVV1yhW8SzAmy9URHGwMAAxsbGUF1drXvb/P7Vgvrk5GRDZoG1RDIYwtlwsZh1OBxo\nb29HZWUltm7dqni9AcFNBJi4KS0tNUQ8CPdXSjwIt0kNHMehtrYWBQUFhqSlAauTBwDW3N+UnjGz\ns7PrVgNxOUACgggrau1X2XvFjdC0WnhGw+BaS7RBjkjcx1AF0UbQ09ODtrY2bN++HefPnw8o0GUP\nbb/fH1AYKXxwr6ysIDExEW63G+3t7cjPz8fY2BgmJibWuMkIQ/pyoXmLxYKLFy9ifHwclZWVfGRO\n6ByjFmHxtd7Bk8PhQG1tLQ4cOKD7wTszM8PPyuuNYkxPT6O1tRVHjx7VnTYjVWCulEaplBrldDpR\nV1eHffv2ITk5GR6PJ2CgpeU7zgbBSUlJhsyaDg0N4dKlS7jyyit1F797PB7U1tYiNzfXkKjI6Ogo\nH5UywhyipaUFZrPZkDSoUCIZSvdnKTES7HqTsqRl9yk2WVBQUIDU1FR4vd6gdT5KsPuHUZEbYDWq\nCsCQlDlgdSKiu7t7zfXCLHrlCKcL0+VI5D3ZiU2BVvtVoROPHvtVk8nE31gjCXHhsJ5UnkirgRCe\nP2Gxt9btXC/xd+HCBQwNDeETn/iEZAoNGwiyBnZA4IDA5/NhaWkJFosFNTU1OHLkCHbs2BFQICl2\nlJEryhQWUg4NDaGoqAh1dXWyDjFKYoR9v7q7u2Gz2RAfH4+2traAfGSpPGWpPGOLxcKnHOzevRvp\n6en8wCSU76WRUYz5+XnD0sWWlpY0FZiLIxdCWAO7wsJCvj+DlGOU0kwyg6XXGTUInpiYQFdXF8rL\ny3X3/2ADzIyMjIDu1KEyPT2NtrY2Q6JSgLFpUHojGeL1ax2cC68LqWeF1+tFQ0MDdu7ciV27dsnW\n+ahNxWM1YYmJiYbl7/f29vI1SnqiqoyFhQU0NTXhyJEjayYP1NRAyEVUCO2QgCAMQ4/9qtVqRUJC\ngu5mb5EWgQhWOBwKkbCP4miRVLF3JDI4OIj+/n4cP358jXiQamAnzpP3+/2wWCxITExEQ0MD9u3b\nhz179uhyJhkdHYXT6cSpU6cUCynlBIpQkLS2tiIjI4PvXSB2fREWUCoty+12o7W1FVu2bIHVasXA\nwAD/N+CDlAyl4kn2f7fbjba2NuzevRsTExOYmpqSjM6YTCa4XC4kJSXJFlKytJni4mKkpqbq8tp3\nOp2oqalBUVGR7gJzn8+H+vp6ZGVloaCgQPI94mtJqblZd3c3lpaWUFVVpWu7gNUIC6tf0Vtzwvpj\nxMbG6nYHAz4QlmVlZbrthQFj06CA1Zlzo0Qcx3F8RMmIwTk7F8nJyZK9SqTqfJiYFdYdCu9dHR0d\n8Pv9hkUKhoeHMTg4iOrqakOeDez7f/DgQUnBH+x+oNSlmtBOZD/tiahAKBq02K8yBwUjG6FFyuA6\nmFuUHjZyH6WiDUY16wv3fo2OjqKzsxPV1dW8Kw47VyzaYLfbkZKSApPJxHdEFsIewufOncO2bduw\ne/duPsomnmWWmvkTMzk5ifb29qCpOGpm/tva2pCQkICjR4/qOh8+nw/nz5/HddddJzlIFKdTKAkR\nl8vFD/izsrLWCBphdMbj8cDpdGJhYUGycNLlcqGtrQ2ZmZno6OhAW1ub5DGXEzbCHya2duzYgaWl\nJfT09GhKNxMXt7JO2vv27ZM9ruyzSna0HMehr68PExMTqKioCLBxVopeyCGMsKSlpcHhcGi9HAJg\nvTbKysp037PZYPDAgQOGpJWMjY0ZmgYlFHFa91VqIGt0Gg+7/uVqCpSiZVKpeL29vfx153Q6JSMW\nWlKjpqen0dHRYUjXe+CDtLm8vDxkZWVJvkdJQAidowhjIAFBhIQe+9Vw5sZv5OA6HNEGOdZzH6Vq\nU4yIFq0nk5OTfBfmxMTEgHPFog3CWhu54ysM8R86dGhN2ol41k+YwgQEDnTn5ubQ2NiIiooK3bOv\n3d3dAT0VQsXvX/XgT0hIkJ1hFg6ElXLpmdAqLi5WNePKUsekhJTH4+EdYcQz/MGiMmI3GNakbNeu\nXcjPz9ecbib88Xq96O3thdfrxe7duzE6OiqZKiYWJXJiZXJyEpcuXcKRI0cCIjXsuDOENRWskRn7\nzX5Ybvy+ffsCIiyhfmeN7I/BnKXy8/MNqaEQ1sQYkQZ18eJFjI6Ohtz8TzyQ7enpwcLCgiHHDlhN\nC5qbmws5LUgsLkZGRjA+Po4TJ07wUSpxtIz9W86SVigumDtXWVmZ7nonti0NDQ3YsmWLYtqcmohk\ntDyzogESEIRq9NivhntAzVhvARHuaIMU63UDZKkszAkrNjbWsGiDFOE6dzMzM3yRbFxcHBYXF+H1\nehXPFbumhQ8kJh5sNptkZ2ilfGWxuJifn0ddXR0OHjwIm83GN0BUG7kQ0t/fj7GxMd09FTgusP+E\nHlhKz5YtW3Sna/h8PtTW1mLr1q2S6UFa6jL8/tWmgbt370ZJSYmu7QKAjo4OPurDzrlSZEZOiPj9\nfkxMTGBoaAiHDx+G3W5XlW7G7sXCH3bf7ezsxJYtW7C4uMj3ffD5fIiNjeUFh1xtjFjYjI2NYXh4\nGEeOHMHIyEjQCI+ScGLXxrZt25Cfn6/7HCwuLqKxsRGHDx/WXRMDrDbF6+vrQ1VVle6UL2A1bXJ4\neNiwNB6j04Kmp6d5RyhhpEBNtExKqAuLxJOSkuD1ehXrLtTAUsmkUrWE26WE1+uNCPvwzQQJCCIo\nWuxX2Q1kZWUFfr9/XQbUQtZLQGjpTWE04dxHdq5dLhcfbYiPj4+qaIOQhYUF1NbWoqioCBaLBU6n\nE7GxsSG5XjU3N8Pv96OsrAzLy8uatkMoLlwuF5qbm1FWVobMzExNkQvxYG94eBgDAwOGpG20tbUZ\n0n+CCS273a67szcrYo2Pj1dMD1K7Xc3NzYYIJADo6+vD1NTUmllqLYKGMTs7i66uLtxwww26i8x9\nPh9f27Fv3z6+UzK7ZwHg0+6E9xHh/4XX4vj4OAYGBlBcXAyfz8enmImFjTDdTE7wcByH/v5+xMTE\noKCgAKOjo5KF/Er1NcLvgcfjQWNjIwoLC+HxeDA+Pr7mu6KU0ia+zmdnZw1piscmHphbkFFiZGpq\nCp2dnWsG+6EijBSojYKy8yOFx+NBQ0MD8vPzsWvXLv4+xq4NYeQjmJEAo6enR1UqmXBCU4rZ2Vnd\n3y0iEBIQhCR67FelUkLWi3APrtc72iCFyWS805RQ+LFagHBGG6Qwcr84jsP8/Dzef/99FBQUID09\nHXa7PeQZu46ODjidTr6+QBydUIvL5UJNTQ0KCwuRmZkJQFvkgg3QPB4PxsbG0N7ezj9YWV2RcACr\ndvu6u7sNSU/hOA4tLS3gOE51Z2+lZTU3N8NkMunuyA2snkOXy2VIA7WhoSEMDg5KNrDTipF9I4RF\nzvv3718z2FtaWuIHxlKiVVzLMz8/j7m5Odxwww1ITU1VHOipobm5GWlpaXzztGDpZkqCxOl0orGx\nERkZGbBYLBgbG1OM8kgJHuEgdmVlBd3d3SgoKEBra+sasaJUHyMWPSzK2N3djbKyMv7ZGGw5Siws\nLKCxsdGwtCBWn7R//35DalDYtZeamiop9pXuZcJrTni8h4eHMTQ0ZEhRPFm4Gg8JCCIAJgbUFET7\n/cbZrxpFOATERkYb5DBqH8X7Fs3RBuADITQ3N4fz589j//79KCgo0HVN9vT0YGZmBlVVVboeYm63\nG+fPn0dOTo5qf3U5cTE9PY2+vj5cccUVSE5OVnwgSw2C2LKB1RQolu+tNyWis7MTy8vLugu52bLY\ngF/vsnp7ew05h8AHlqjHjh3TPQvMComLiooMsZdUW+SsRrQuLCygpaUFJSUlSEhI4KPKgHo7WiE9\nPT1YXFxEVVWV7uvM7/ejpqYGFRUVuqJcQjFy5swZ3HDDDcjKylojNIKlpAm/dyxK09TUhMLCQkxP\nT2NyclKxRkcc2RcLDI/Hw/ebuXDhAgYGBoJGZ5SEis/nQ0NDAzIzM5GSkoLl5WXJdDMtsCJxOccq\npWsOWOtSNjExgY6ODpSXl8Pr9cLhcKy57oS/g03oTE1NkYAwGBIQhOaC6HDYrxpNKLPD4s8L3Xn0\n9G0wGr3HWc55aCOFH6BP/AmFkN/vR2trKw4dOqTbp76/vx8jIyO6Z5pZM6rMzEzd2zQ3N4eGhgYc\nOXKEn7GWGgQCa2d4xeJibGwMvb29vHgQThpoRS6lJxR6e3v5LuF6lzU4OIihoSFDogUzMzNobm7W\nneICBDZjy87O1rUsIHiRs9rvlsm0aqfb0NCAQ4cOrSlyFg/0lOxo2b/ZTPLx48d1iwc2022z2XRb\nybJoQXNzM/Lz8w2xV3W73Xj33Xdx/fXXa1qeXG2My+XC+fPnccUVVyAnJydoZEaY/iglVrxeLzo7\nO2G1WpGYmLim74xQ0KipaTGbzRgZGcHs7CxKSkr43jNaa2OErzudTr5jfXp6+prIhdDBTfysZ+55\nZrOZr3UDVlOYSEAYCwmIyxhhEV6waIPP5wuwFLTb7UhISNjwQacYqeJXLUj1AtjoaIOYUAfa0bBv\nWhCnlLEi73PnziEnJ0f3QH1oaAgDAwOorq7Wlb/s9686GyUnJ+vuKLy0tIS6ujoUFxcrPgyFM31y\n4mJ0dBS9vb0oLy+HzWbTNcM8ODhoWErPpUuXDBvwj42NoaenxxArSWEzvNTUVF3LYg3Ftm7dakgz\ntkuXLvFCN9gAPdj3XWiXKeWQxNJ11BTY+nw+jI+P8w5JbJJK7tpSQ0dHBzwejyGpaKzGJiUlxRDx\nwM5rZmYmcnJyNH1W6riyyZDc3FzFAmItNDc3o7i4GOXl5UFrCpSEChs3DA8Pw+v14qqrroLVapV8\nfzBDAGGUx+Vyob+/HzfeeCN/jxPWTkhtJxMUwogQx3G4//778eabbyI3Nxfbtm2DzWbjzRgKCgqw\nY8eOiBvDRBOmIAORyOnIRRiCXLRB6kYijjbYbDZdeeTrxdzcHJKSklTPXErl/9vt9oi9sTC/fDVF\nb1J1G3a7PSIiKWLYdgbL7xXb5bKUMr/fj//7v//D9PR0QHM38WyXeOZL6m9TU1P8oCc5OXnN51wu\nl6p0PY5bbR5lNptx+PBhXQMep9OJs2fPYu/evbpnrKenp9HQ0ICKioqAwbBU5EI48wesFRcTExPo\n7OxEVVWVriZNfr8fAwMDGBgYQFVVle4ZfraPR48e1e3Ow1JcioqKdNuOskGr1WrVXScCIKAWRumY\ncRwXtJEWK8BOTU01pFHczMwM6uvrUVFRgZSUFNmaC2E9glhYCNNp+vr6DIkIMpqamuDxeIIOptXA\nvusWiwVFRUUwm826jA2YK5rP58ORI0cMmejp6enBxMSEIWlkwAffsaqqKkPqMrxeL86ePYvMzExJ\npzsl3G43//xm+P1+Pt3z5Zdfxvz8PGw2G3p7e9HX14f5+Xnk5+fjr//6r/Gd73xH17b39PSgpKQE\nn/jEJ/CrX/1K17IiEMmLL7JHgoQhaCmIBqT7GRjZ7C3cqJmhZ8cjWmfkg+2f3CA7GvZNCrGYFRew\n+/2r9pwZGRmoqKiQnD0TFmmy74JUOsD09DQ6OztRWFiICxcuSNoVOp1OWK1WxMTESOYZM3vMvr4+\n+P1+HDhwgHcAEr9HSeQwgcN6F+Tm5iIjIwMej4f/vNZzOj8/zzuviGfSlSIX7DwIB4ATExO8RS4A\nPpdaS248g9lJnjx5Urd4EO6jXvHAald2795tSM+C1tZWcBxnSGG4sP+B3mMmLMDW63gFrEbLGhoa\nUFpayl9nwWaRlVJURkdH0dfXh+rqaphMq3awoeTqM7q7u7G8vIzKykpD7ovt7e3wer0oKyuDx+PR\nvbzu7m44nU7Dtm9oaMhQO1mjez0w97aUlBTN4oF9XnyczGYztm7diq1bt+L3v/89HnjgAZw4cYL/\n+9LSEi5cuMCPi/Tw4IMPorKyUvdyogkSEJsYYX6q0+lEXFycYrQhEhyGjEBJQPj9gb0NIiX/Xwty\nDxP20HW5XFF5DqXOm7BQ32QySVqwsgePxWLRPZM4OzuL2dlZfOpTn0JSUhL8fr/k8paXl/nZRbmc\n5I6ODmzZsgWlpaWK7xPmK0uF+N1uN9ra2pCcnAy73Y6RkZEAMSQnQsQixWKxYGVlBe3t7dizZw8m\nJib4ZmWhRGoWFxfR2tqKqqoqZGRkyObGq0mLmp+fR2NjI0pLS3U31XM4HKirq8OhQ4d05zyz2pWs\nrCzk5eXpWhYAdHV1weFwoLKyUvc9h6VUqRVJwdI6jewyzdzG9u3bp6o4PFiKyuTkJC5cuICjR4/C\nbrfLWoNKXV9SsEZxRrj7AKuRkdnZWb7+hNWChMrFixcxNjZm2PZNTU2hq6vLMDtZ5uBkVBdxYPX6\n4zgu5E7dwY65VA1EYmKiIf1gXnrpJaSlpeHAgQPo7e3VvbxogQTEJoPN5DAnJQD8IEU8QyU1Cx/t\nM9XA2oEo20/W2yDa3YbE+7eeHbDXA7EtMCv2k5o1Y1afXq9Xd0406xlRWlqKLVu2BJ1FZINqKXp6\neuD3+3HdddfpSrVgTdROnjwp+2CVEh5SQsTpdKKmpgaHDh1CZmZmQB6zVI6yUu6zw+FAe3s7du3a\nhZqaGgAIKmLYMRNOYrCC3Y6ODuzbtw/z8/N8d3AWBRE3PJMTOWazmW9itWfPHt4mN1RYqlFSUpLu\n2hVgtSB/fHzckCLz5eVl1NbW4uDBg4YM4IzsMs1qKHbt2oWdO3fq3raFhQW+cH3Lli0Bf5OyBhWK\ncmCtcJ2cnOSNA/T2TgFWG7tdunQJ1dXV/Hddj4kHa2Rn1PYx+9cjR47oSjFkMFG9a9cuQyJywKoA\n09NZGwh+zKenpw1xOhOzsLCAJ554An/+85/xs5/9zPDlRzIkIDYJwexX2c2U/TvaZ+GVYANsqf3c\naJtZIzCZTAH7xupToinaIAezQOQ4dZ2vOzo6sLS0pOvBA6zOWp8/fx4HDx7Etm3bQl4OAAwMDBiS\np+33+/mGbEoFlGyApITb7UZXVxfKysokuzlrgdVifPKTn+QHiHIFl0oihImarq4u7N27F+np6fxk\nhjDFTDhIFB4bcbGux+NBT08P0tPT4fV60dvbqzllTDjQ7OrqAsdxKC0txdjYmGRER07IiBkZGUF/\nf7R6abUAACAASURBVD+qq6t1Dwrdbjdqamqwe/duZGVl6VoWoK0AOxhMdKWlpYWUhiJmeXmZjyaJ\nxQMQ3I6WbRP7mZqa4qM2HMdheXlZtuZCjQAwurGbsJFdfHy87uUxm+CDBw9KHj+tsPObmppqyPkF\nVr8bTIDpuf6CpfUuLCzoNj+Q4vHHH8e9995riJNatEECIopRa7/KboRutxtut3tTdBiWgw00XC4X\nlpeXN91+MpcKYDWMHG31KVKwaAPrJ6L2fPX09GBqakp3mN/lcuHcuXMoLCzUNKMm9cAaHh5Gf38/\njh07pitVgONWG7IB0F1oy2YMt23bpls8sMFrXl5ewOyykjOP0rLOnTuH6upq7N69mxcUwkipOC1K\n+G+hZSgrYL3uuutQVFS0ZkZa3KRMKdLi8/nQ2dmJxcVF7N+/H5OTkwHvETrGSH2ezYQyUbG4uIiB\ngQEcOHCAT7VTW/sifp3VKWRkZCAlJQXz8/OKQkiI1Azt+Pg4ent7DUltYUW/VqvVEMcgoVAKJZok\nrudZWlpCe3s7KisrsXXrVsmUO6lrS05cKDV2CyUC4XA4+IaCRgx0WSQoPz/fEKEJrKYZmUymkNOM\nxLC6J6MEmNIx9/v9hk+wNTY24k9/+hMaGxsNXW60QAIiCmEPLS3N3oDV2Rw1s7rRiHBGnt0oNktU\nRcoNCwCSkpKiVjhIWbAmJSXB4XComrW/cOEC7yuvZ5afDWJzc3ORm5ur+nNSx318fJx3I4qLiwt5\nm4C1na9DRZiGo7cwVtjLIj8/X9ey1NqYqrEM9fl8qK+vh81mQ0FBAZ8fzwZ+rNBd7exyb28vUlNT\ncerUqZCuLeHAdGZmBrW1tbjtttuQkpKyppBfKVrDepoI/fvb29thsViQnp6Ozs5ORSEDIEBUsOPO\n7v9LS0vo6enBwYMH0dPTI1kLIydkpH56enrgcDh4u1bherUitEM1ovaE5ewLazLUXFvCa0z4mrCL\nc1JSErxer6bIhZiVlRXU1tZi7969hqTZsO99enq67u8qo7e3FwsLC6iqqjLkubO0tITGxkYcPnxY\nd90ToCzaQrE9V8M777yDixcvIicnBxzHYWlpCT6fD+3t7aitrQ3LOiMJEhBRgtpoA3uveMBpMplk\n88ijFalc+fj4eD53PdrFg7iAWBhtYKIw2lByh2I1O8EYHBxEf38/jh8/rmvW1Ov14vz589i+fbvk\nzLyWh+T09DSfeqA3z9ioztdstjomJka2O6xajKwH8PtX+2IkJCTosgplA8D29naYzWZUVFTw3/lQ\nZ5eHhoZ096Bg2+VyudDa2oqKigps37495P1k+9Pc3Iz9+/erNgqQKsZnUcv5+XnU1dXh6quvRlpa\nmqyQEXdYloro+Hw+DA0NYXJyEnv37sVf/vKXNdGYYClf4p/Ozk7YbDakp6cHiButdswsalNbW4ud\nO3eqrslQqm9yu92ora3Fnj17kJWVJekYxV4TOkXJFXUzsbRjxw7VHeqVYNdKTEyMri7dQoaHhzE4\nOGiYgxMTTPv27UNGRobu5bHvtZKAUCqqD5XPf/7z+OQnP8n///nnn8fFixfxb//2b4auJ1LZPKPJ\nTYiR9qvCaEW0IzWwFkZVWHQmGhGLIpvNJin82EMqGiIQUoJWql5DyT2LMTo6is7OTlRXV+ua5ff7\nV21fU1JSdPvds87QUraoWjGqfgJYtQs1ouGWkUKEDW4sFguKi4t1LQtYdTVaXFxc42qkZnZZLC7G\nx8f5dAqOW+0NE0pePPCBC9HevXt1iwe2n1otR8X1GDExMfw11dfXh6qqKkOKYIeHh+F2u3HLLbes\nSUMRp5JJCRGxTXJ7ezvsdjufJiMcoCt9Xiqi4/V60d3dDbvdDofDgf7+fskifykRIlfb0traipSU\nFMTFxWF6ejrg8+xaWVlZWdNLSHgdCZfX2NiIhIQEQxrZAcbbvzJba6PSjJhgys7ONqTIXojc/s7N\nzRkS5RATGxsbcEwSExMRGxtrSL1JNEACIgJhDzV2QwSUm72psV9VMziLZKSiDQkJCZK58tG4r8FE\nkRSRvo/ifZKyYNXC5OQkWltbUVlZqbthGUt50TsgVtsZWg3Dw8O4cOGC7voJYHUQITWwDoW2tjbD\nOv92dHRgZWUFFRUVupcldDXSMisqJS5Ys6krrrgCSUlJawalavPigQ9yz3fu3GnIjHJ/fz8mJiYM\ncW/yeDxobGxEnkyXaa0EKyLWWhvT09OD+Ph4XH311YbMdDc1NWHbtm0oKytTVdyvVB/j8/l4q9H0\n9HRMTk7Kft7hcMBms625jtg1wr6TFy9ehMfjQWFhId566y3+WDEXspiYGNleM1IRmZGREQwODqKq\nqorvySL1ObUsLi7yaUZG9XowWjCx5SrdT6QsXMPBE088EfZ1RBIkICIEKftVpWgDG0yrtV+NxkE1\nENrAOlr2VYsoEhOpkQctFqxilM7bzMwMGhsbUV5erqsxGJsB9/v9Qbu7soe/1ODHZDLxDjFFRUW6\nZ5lZN+fKykrd7isXLlzA2NiYIa463d3dWFhYMESIGJWaBayKrYGBAUOsLoX9FJQiSFJ58WJxwYq5\nU1JSkJeXxw8aQ/2+joyMGLafPp8PDQ0N2L59uyF58XNzc7w9qBGDy8HBQUMbnQmjNloHzlJ0dHQg\nOzs7aF0Sx8l3/BZeN319fTCbzXxKGktRZj9+v59Pg2L/ZstnyxJa2E5NTaG3txcHDhxAd3e3bFQG\ngKIIYYLY6/Wira0N+fn5GBkZwfj4uGS6WbDeM8K/9fb28s32jCSYgJiamloXAXG5QQJigwlmvypE\nWCjMbEnVWneyG1Q0wI6Jy+WC1+vlB6FCP3klIl1AiM9jKIXtkbaPLOXDCMtc8cNgfn4ef/zjH1Fc\nXMwXpoofekruM0La2tqwvLys6HcvTAWUmnU2m818EeWePXt02/dNT0/zPvd6B2JDQ0O4ePGiIQPO\n/v5+w4TIxYsXg6ZmqU3JE4otvcXqWvopKOXFs6hxfX09YmNjUVhYCLfbrSlyIWZqagodHR2G7Ceb\n+Y2LizOkyzRzDCouLjYkXWNiYgLd3d2GRN8A4xux9ff3Y2pqSrddNDv/w8PDGB8fx5VXXhk0LUhs\nRytOCwNWIwXj4+P4+Mc/ji1btiheX+KUManoi8fjwfnz53Ho0CHk5ORIRmXYuEVtVGdkZAQpKSk4\ndeqU4fWJwe4dMzMzJCDCAAmIDUBrQbRUobBWW1I2OxbJSEUbEhISNN9sIm1wDaxtZqfXXjZS9lEc\nCdO7T2IcDgfOnTuH1NRUOBwO9Pb28g8kqQcWK1qUmiUbGhrCwsICiouL0dDQsGbGjH3X/H4/4uLi\n+IGu8EFsMpn4NJDt27cjMTGRt9K0Wq38vquddZ6fnzesfmJ8fJzvNqt3wGnkDP/o6Cifc693cDgz\nM4Pm5maUl5frFlus6VxBQYFum0uTyYTOzk4AQHl5ecA9K1jkQixOTSYTHxUxYj+B1bx9n8+Hw4cP\n645esgLYPXv2GFLfMTs7ywtocbPTUDC6Edvo6Cjfw0NNXVKwwazWmgK2LLlUMIfDgba2NpSUlCAt\nLU3x+hL+W1gTI4TVh+3evVt3iidjbGwMHMepPoZaUSMgjCjWJgIhAbEBsLAkENx+VUvqjhKRGoGQ\nKrDVEm2QIlIG14CxM/NSy94IpOpuwmGZyxqWFRUVIScnR/XnxDNiPp8PFy5cwMLCAj70oQ/BarUG\nzKI5nU64XC5wHAebzcaLbYfDwc8iC4symZVmYmIimpqaeDEjTD8U5zIL85lZtMTtdqO9vR0FBQWY\nmJjA1NTUmrQAqUZo4r9ZLBZ+EKa3PgT4YIbfCCEyNTWFtrY2VFZW6h4cLi4uoqGhAaWlpUhLS9O1\nLGZJu2PHDk32vXIodXIOFrkQi4ulpSWcO3cO+/fvh91uh9Pp1BS5kNq2hYWFoCl7avB6vbxjkJbv\npBxLS0uG9j6YmZlBS0sLjh49akgjtunpaf76VftdUBrMCtPljBCGzBGqsLBQsiBZfH2JBayUuDC6\n18Ps7CxaW1tx9OhR3feTUJmZmTG05oJYhQTEBqAUbRAOprXkxKtZZ6QMqgFli1K9RMK+GjkzL8VG\n1EAoWbAaBTt3rD9DXl6e5oGKcIYNWO20Ozk5iWuvvZZ/gAnPz5YtWxAbG7tGtDILS/Zd9ftX7UeP\nHj2KvXv3Ss7gCQeCHo+Hz2dmAoP1KHC5XOju7kZRURHfJIvNGLJ7QLBmZ+z34uIiOjs7kZ+fj9On\nT8uKELEAkXrP4uIiOjo6UFJSgtnZWSwsLMgKGKnPC4+fMEderwOK0+lETU0N9u/fr9snn53HlJQU\nQwYVwvQsraleYnGxsrKC1tZWlJSUYOfOnWvEhXBAKBW5EIsLYZdpvfdFZj6QlJRkyHGT6s2gh6Wl\nJTQ0NODw4cO66qQYrIC4rKzMEAcfp9OJuro6VelyamApc5mZmbIiOJh4FTuSdXV1YXJyEhUVFXwR\ntlzqnRqEzfGMOCdyUARiYyABsQGIL3ThwMxsNoelu7DZbN7wCIRctMHo3hQbJSDYwJfNZodrZh5Y\nv31Ua8FqJG63G+fPn8eOHTt0d04eHR1Fd3c3qqurERsby3/P/H6/pvPDcatdds1mM4qLi3khIEbo\nOiOVPsEiUmfPnkV5eTlyc3MDBols8Cc3MBTDZqvvvvtubN++fU2ajPi3nAjx+/2Yn59Ha2srCgsL\nYbFYMDc3t+Y9QttTqWUDq9GXlZUVdHd3o6CggO/ToFS4abFY+BQylrbI3sMGSrm5uYiLi1sjaoS/\n1ZzHxsZGWK1WQ2ZYWXqWEbn7Xq8XNTU1yM7O5t2btEQuxOJC6JBksVh0W3m3tLTAbDYbktbCIkBa\nejMowWxzi4qKDBkoChvFaR3sSw1mmTNXXl6eIV2h2f0oNjY25L4swnsNsJq2ODk5iSuvvDLAQYr9\nZvc8qfuU+N9AYHTECIGoBAmIjYEExAYgnGVlM402mw1JSUlha/S2kbPyTCC53W6YTPrtPIPBlqu2\nKFMvrLaBRRtY/nw41x3u8xnOCFGw9dbW1iI9PV13wzJm+8rsR+fm5kKOnLS1tcHtduvuDM0Gwzt2\n7Fizf2xGUDgrqPTQXllZwfnz5wN6DQgFjBYcDgcGBgZw6tQpPiISCn6/Hw6HA2fOnMEtt9yCrKys\nAKGhJEBYtMblcvGvsRn5pKQkrKysBHRfluoHECxCMjAwgJWVFRw6dIgfEMvZYwZLH5udnUVLSwuq\nqqp0++OzqEhaWpqq2f1gM8ssz768vBxxcXEBabMOh0N24Cf3nQilD4UcbF9TU1OxZ88eXcsCPhAj\nu3bt0m1oAHww2M/JyTHE6pZFbjIyMgzrCt3Z2WmYtTIQWJfBhLBSpoSSgGXvqa+vx5YtW/h7AFtW\nOJ4hzKhADhIQ4YEExAbgdrv5wku73c53ig4n6y0g1ivaIAfb33AdV6k6gHDPzEttg9HLExd6661H\n0YLf70djYyNSU1Nx4MABXcuanp7m3XXYAy/U82OUlSkbOCUnJ0uKI+EATryd4oe2y+XC2bNnsWPH\nDqSlpfGDQqnoRbBzx2Zv9+zZo0s8AKuDuYaGBuzZswe7d+/W9Fk20cBy15mYrKioUNV0Ts5dhv27\nt7cXiYmJOHHiBF8TJhY3Sl2XhT8LCwvo6OjA7t27UVtbu8YeUy59TK6+pbu7GyaTCRkZGRgYGAgp\n/Yyd56WlJTQ1NaG8vDxg0MS611utVslIlFxO/KVLlzA6Oorjx4/rvr9x3Addko2IAAmFlxFihA32\n09LSQo5+Cp87bH+tVqvuhpUMoxyhGKy2SG1dhjhyIYR9B4W9HoTdzAEoitdQnzPBnvXr1QficoME\nxAZgtVrXfbC5XkXUSt2w15NwCab1qANQg5HrC2eht5ZtaGhogMViQUlJia4HyeTkJE6fPo2DBw9i\n27ZtsNvtIS/PKCtTtn82my2kgZPwoe31etHS0oLc3Fzs3btXMpeZPbCVXFhMJlNAKoneoli2rO3b\nt2sWD2JYiobFYlGdMiOMvohrUy5duoTl5WVcd911ulONmDPYXXfdFSC45NLHgtWwdHd3w+Px4NCh\nQ/B4PHC5XJLLUZM+xjov5+bmoq2tLUBw+Hw+/p4sJULEg0KTyYTJyUn09fWhrKwMk5OTAUYArAaI\n/VsNXV1dcLlchsycC8WI3gkHI5cnHMx2d3cbtr/AqpuRFkeoYLBUrQMHDhgywDaZTOjp6YHH45Gc\ncBHfp5i4YPcwpZoLpeMXTECwmlLCWEhAbADshr2ehDOthw1YWOpBuNOx1GCkgBDv30ZEG8QYsX/i\n1CujC7210NLSAq/Xi9LS0pA+z/Zlbm4O9fX1OHLkCHbt2qVrXwYHB3Hp0iVUV1frsoPkOA4tLS3w\n+XwoKyvTtU1SUYxgM4Jy4sLr9aK+vh6pqanYtWsX3G63psiFeLtYga0RfQba29v5lDG91+PY2Bh6\ne3sNqVMQWpiKozWhpI/19vbynZf1DnBWVlZw+vRp3HjjjcjJyVkjNJgwiYmJka2TETYum52dRXt7\nO/bv34+5uTlMT08HmAIIncc4jpN0HWO/zWYzRkdHMTU1hdLSUrS1tSmmjylFb9jrvb29WFpaQlVV\nlSH3rO7ubjidTkPStIDV4nrWKd2IZ8XMzIyhbkZM8BuVqgWs7vPExASqq6sl70dK3xGptCj2/2AT\nIUrjmo02VNnMkIDYADZigMYGBEYKCKlow3qkY6nBqAF2JO9fKBGlSEi9EtPe3o7FxUVUVVVheXlZ\n9efEwo7jOHR0dKC0tFT3bPro6Ch6enpQUVEhmd+u5frq7OyEw+HQnQLFohhaCoDlxIUwD/3QoUOS\nD22lYm7hd4DN3GqJFijR09OD2dlZxWZ/apmenkZra6shHb6F1q9GWJgODg5iaGhIsbmeWliX6ays\nLFkB53K5JKMzUiwsLGBiYgK333570JnpYM5jHMdhfHwcbrcbJ0+e5L9PwlloVkCvtvh/dHQUo6Oj\n2Lt3L958801+9lquQF8pfcxisWBkZARjY2MoLy/HyMiIJnEjNjjgOA4TExOG9qIw2mGKCf7U1FTd\nRhUM4T6Hcj0Hq+sRigvxvQoAb0JjMpmwtLSEsbEx5Ofn8xHoSHhubzZIQFxGGDGojsQBqBSh7utG\nuA6Fgtb9i1Qx1NPTg6mpKVRXV/MRq2D7JSzwNpvN/KzymTNnkJ+fr3twJyy+1lsc29vby+cr672G\nWDOwiooKXeeNDfhNJhNKS0sVc5nlZgOFgqKzsxPLy8s4evSont0DsJpqxGZt9Q6qhU369NpwMsFl\nlPWrsPOy3muMOUvFxsYaEv1xOp2a0lqEs8riwTIr6GY2yomJiQHRMKVZZblrfGxsDD6fDzfffDMv\nCsUDS6kCe6mUMp/Ph/HxcVy6dAklJSW8i57S55Xcx8xmM+bn53HhwgUUFxejsbFRUoAo1beIf3s8\nHtTV1aGgoACxsbG8vapwWVrvB0b3epibm+ObARrRf0OMkrjw+/1YXl5GTEwMf39qaWnBl770JQwN\nDSE9PR1msxn33nsv9uzZw/8UFBTo7plzuUMCYgPYqEGb2bxq5RrKQCZSB6ByaB1gSw1KN6J2w0jY\nrJ7L5YpIMdTf34+hoSEcP36cHywqhaGFBd7Conyv14szZ84gKytL92za7OwsGhsbUV7+/+y9aXAk\naXktfGpftEsttdRqba1975ZGanXPDsMwA+MxBmwMHn92eMAGTPgS/oLrCHyNTYT9OQI7fCEMgbdL\ncO1wwA8chMEQYAZjZhh6Wmp1a63SUqW1SlKp9irVluv3o/RmZ1VlrZlqSYNOREeru6RUZmVW5nPe\n5zznjKOyshIURZW8re3tbcVWmFdXVxEOh2V3MQDAarUKuuxs2yp0NXBtbQ1erxfj4+PCwkKpQ5Ik\n8ffpp59WZE5hdnYWQ0NDsrXdZB5DKetXkqatVPIyIZZy5XFA0uBjZmYGHR0dishaSJbCY489lnEe\nSpndCQaDgvOVuFDNNf+SCz6fDxsbG/jlX/5lWSv75BjC4TBef/11/Mqv/AoaGhoKIjBS8jHx/y0t\nLaGyshI+nw8ej0dy+L+QAXvy9d7eHnw+H65fv461tbWi5GNSJCgej+P+/fsYHh5WJAywWJBrXnze\nn376aTx48AA0TWNmZgZ/8zd/g/HxcdhsNty5cwc2mw12ux1VVVXY3NwsSRL2m7/5m/jxj3+MSCSC\npqYmfOYzn8Grr76q2HGdB1wQiFPCo3ZFKuV3npdugxQKOdbTdoqSg1zHJyZDKtWjs2AtBg6HAz/4\nwQ/Q2dmJe/fuCQ+lRCIBvV4Pk8kkPLw4jhMC3YxGo/AauQ7n5uZQVVWFpqYmRCKRnPKCXAiFQrh3\n7x5GR0dRW1sry3Rgb29PaOfLXWG22+04PDzEzZs3ZV+bNpsNPp8PN2/eLPlzTIqR7e1tuN1uPP74\n40LBn21IMpcDi1qthtfrhcViwdjYmOwVzEQioZirFKDsPIY4TVuJYoukTBci98p3P2RZFrOzs2ho\naFDEbjRfJ6PY2R2/34/p6WkMDQ1Bo9EgFotJyuwKPUdEFqREyBnpFMzPz2NgYADt7e2yP6s8z2N2\ndhaTk5MYGRnJ+X1SHRIpCZjT6UQkEhFMIXLJx3J1X8jXFEXB6XTi3e9+t2Al/aiRS5at0+lgNBrR\n3d2Nj3/84ymvcRyHg4ODkudJPvvZz+JrX/sadDod1tbW8PTTT2NsbAw3btwoaXvnEWe/UrqAYiiU\nQIiHa0/TaUgOznuBnQ/pxydlwapUirnSODg4gNVqxfvf/34YjcaUh1M4HBaKgVgshlgsBrVaLQxi\niiUGDMPAYrEAAMrKyvDgwQPJh1wuHTP5mqIoLC8vo6urC263G16vFyqVCizLCsOg4p9lWRYqlUog\nM+LXfD4fLBaLIrr73d1d7O7uKqKl3t7ehtPpVKQjki1ArZAhyfQVVr/fLxRyZWVlQl5MKfIMsuLY\n3NysyJyCzWZTbB6DFNR9fX2KBGuJU6YLLVZzdfjm5uZgMpkUkUGRLIVSOxnp5CIej2NpaQnXr1/H\nlStXCupc5CIXZBheqRRsQr6am5sVCcYDkjIjjuPyzhXlImJieL1e+P1+vPjiiwXZteYDx3GYmZlB\nZ2cn2tvbZW+vVOSb6/T5fJIEVq1Wy+qy9ff3Z+wDcSxTCk6nE36/H+3t7WdSbnVBIE4Jp9WByLaq\nep67DVKQKrAZhkEikciQwJxXkJWn9PTrR23BWgzcbjcWFxcxOTmZserH8zzMZrNQGBAL1mzF6Nzc\nHAYHBzE+Pp7zeLNJBsjXkUgEMzMzuH79ekrwGRkGFbvOiFfeaJrOcLQJBAJCAvPPf/7znIOX2cgM\n6bwQecXY2Bj8fn9WvXQhHRclE5M9Hg8sFgsmJiaKIkhS5CISicBqtWJ8fBx1dXWCpaM4mEpcIEkN\ndIvPMwmvUmJOQckhZ1JQt7W1KRJ25nK5YLPZcPPmTdnnE0gWq0rJoMi8iFLBaeJgN/LeleI6Roo8\njuMEu+HGxsaUa6wUEHOD8vJydHd3IxqNyn4P7XY7AoGAYlkPoVCoqKyHfCBzVErmW8jZl3wE4qRC\n5H7/938fX//61xGLxTA2Nob3vOc9srZHjsXpdOKv/uqv8KMf/QgAMDAwgA9/+MN473vfq8jnXSmc\n3+rpAkVDrVZnkBZSVBMrz/PYbZACeVBIdRvOcoFdKMixBQKBR5Z+LRfi+QIxeeA4LoUEkZyUXMey\nvLyMeDxe0EwAKTqlQDoPN27cyJifINIpqf0gemWxPCkUCmFmZgYf/ehHcenSpQyikq5bzkVqiKSn\nv78fsVgMkUgkr4aavJauWT46OsLm5iYGBgYy0peliIsUKSGvkZCysbEx6PV6oUtZyiAnCbDr7e0V\niBvDMCkPSFIQiotCqXRulUolOEGRbAw5nwWXy6XYkDNZna6vr5edjwEkC6LFxUVMTEwUNUORbcFq\nfX0dwWBQkS6LeKBbicJSTAoLmW/KJ4tiWRYzMzOoqqpCZ2dn3s6FFFFNR6GdgkKxt7cn2EcrscAV\nj8cxOzurWNYDkLxmlLS8lYN8n3Wv14uWlpYT+d1f+cpX8OUvfxl37tzBf//3f8sq7sn1qdVq8Z3v\nfAc6nQ4f/ehHsb29jddffx2f/OQn8eqrr+Kzn/2sIrNTSuCCQJwSTuNDR4rqt1u3IR2kuKBpGhRF\nnWk5TzGQsi2tqqo6F+ctfb4ASCWv5ByRIf1c52l1dRV+vx+3bt2SdewMw2B6ehoNDQ2yh68jkYig\n9yarXaQIKXb1OhAIYHt7Gy+//HJJD3wxofB6vbh//z5efvllVFZW5iUu4mHO9O+LRCJYXFxEe3s7\nbDYb1tbWchKXXB0XnuextLSExsZGxONx2Gw2qFTJYLuysrK8pEZMWsi2GIbB0NCQEIhYiJRFCl6v\nt6QCXQpkdVophyQyQ1GqnWf6ce/s7MDpdCpWrFosFtA0rXhQnFguUipUKhUsFgt0Ol1Gp6XQge50\ncrG5uZnRKZBDXsnCwc2bN2UTV+Bksh52d3exv78v+/6rFArpQFy/fv3Efr9KpcLt27fxL//yL/jq\nV7+KT33qU0X9/MzMDFpaWtDY2Ch8BjmOw6c+9Sm0tbUBSD4/v/vd7+Lzn/88Ll++jD/4gz9Q/DhK\nwQWB+AUCKarJqvXbpdtAQFayE4mEUNBUVVW9LboN8Xg8xQFLq9UiFAqdiRt4PkQiEUxPT2NwcBD1\n9fVCR4jjOBgMhpRzRNN0zm3Z7Xbs7+/j9u3bsgoeImOorKzMWZwUUgyQlfSuri40NTWVvE9AcrBz\ndnYWw8PDJa8WkgInHA7DarVicnISDQ0NsvYrFovhrbfewgc+8IGsEpxcUjExcaEoSsgs6OjoSCEu\n8Xg8I4k533b39/cRCoUwMDCA6enpFHKRviItLgDFKcrk63g8joWFBQwPD4NlWQQCAUniUmjHhnv/\n4QAAIABJREFUZWlpCRzHyUpXF5+De/fuob+/XxFJhsvlwvr6uiKyNiD52VRqXgRQNrUaSK6aZwue\nK3agm6ZpOBwOrK+v4+bNm0L+BSHH5E8x+03IoVIyI9K9UTLrwe12C505JfItlEC+99nv95+YhEkM\nhmFgt9sL/n6WTSbDf/rTn8adO3cwOTmJF154AR/84AeFYE+CyspK/MZv/Abe+c534jOf+QysVqsi\npFouLgjEKeFRFe08z6cUbG+XoppAanjYbDaD53nE4/Fze5xSFqzidG/ygDrrIIVnd3c3qqurhYIs\nG3nNNRu0s7OD7e1t3L59W3Yy9P3796HX6zE8PJz1+/KtVJNCgqwgyR3ajcVimJmZQV9fn2xHE/HA\nrlzyQKw929vbc+r3c0nFCEhR097enlFUMwwDiqKKmqvY2tqC0WjE5OQkNBpNVqlYOvEgcimGYRCL\nxRAKhXB0dITFxUW0tLTg8PAQLpdLmBlLzxlIt85MJxlExxwKhTA8PIzl5eWCpWJS8zEcx2F6ehpt\nbW2KrCQTGZRSVrJOp1OQ3cidFwGSFs8k0ViJRZLd3V1h4LzY7UmRC4/Hg52dHTz55JMoKysTiAW5\nXogcs1BZVDweLyp7oxCQtG+lsh5CoZAgXzwrEhoAQi5NNni9XsUJhNvtxn/913/hpZdegslkwo9+\n9CN885vfxDe+8Y2Ct0H2WavV4stf/jJ2dnbw/e9/H1/+8peh1+vR1taGz3zmM3j66aeFa6KxsRG9\nvb2KhAkqgQsC8TZF+myDyWSCSqUSQmjOO8TESGp4mCSgnjeI5wEKcYiSq/U+SSQSCfz85z9HQ0OD\nIJ8Rk6BisLe3h7W1Ndy6dUtWa5/IIliWxdjYWMnvHZHbzM3Nob6+XvYKXyKRwPT0dN4ivRBQFIXp\n6Wl0dHTI3haRQFy+fFn2QCwJeOJ5HsPDw7Kv2/39fWxsbGBqakq22xVFUbhz5w5eeukltLW1pbhF\niXMvxIUg8DBNOZ1gbG9vQ6PR4NlnnxXsMqUsMLPNsaRLylZWVmAymRCLxbC2tpaTuGR7LR6PCzLB\nhYUFDAwMIBaLCZ3NXIP9uTouHo8HKysrisluSB6IUmREHNqnRKclFAphbm4OY2NjQqdALF+iaRpl\nZWUp14VYViu+loismDiHXb58WZF7utjeV4nnA1mQGBwcFCSo5wUn0YFQqVT46le/ik984hPgOA5t\nbW340pe+hJdeeqmobQDA7/3e7+GDH/wg1Gq1cK2+9tpr+MlPfoIvfOEL+Md//Ec8/vjjGB8fR21t\nLdxu95khcKo8Rdb5q8DOCcjNRElIFdUGg0G4uRGbzNMIe1EK6cTIYDBIrmSft2Ml3QbSRSEypXza\nzpqamjNHIHiex9HREd58803U1dVheHgYBoOhoP0k8x3iG+Th4SHm5+dx8+ZN2YnCFosFfr8/70ok\nmROiKCpDO69SqUBRFO7evYvq6uqcXYxCwDAM7t69i/r6evT09JyZbRGZl8lkkn2MALCysoJAIICJ\niQnJ955hGNA0XZAvu8fjwfz8PCYmJmRfE2QW5tKlSznfs/RiUEwwyCqoSqXC4eEhVldXcevWLZSV\nlcl2+Ll//z40Gg1GR0eFgjPbcL4UASFfHx0dCUPOV69eRX19fcGD/dk6LvF4HGtra+jt7UVNTU3W\nGZhCOy6BQEAIiquuri5pOF+MQCCAe/fuYXx8HDU1NSVvhyAWi+HOnTvo7++XlCvyPI9IJJLXcpNc\nM4Sgm0wm9PX1ZZCLfM5jUnA4HLDZbLh165YihImmabz11ltobm5WxARAacRiMeh0uqwLUy+++CJe\nf/31c7VwShYhpqen8ZOf/AT37t0DwzDQaDT40pe+hCeffPJR75LkRXfRgTjnIDd9cVFtNpsli89c\n8pCzDCmr0nwyrPNwrHItWMkxnhUCQaRksVgMc3NzaGpqkq399vl8mJ+fx2OPPSa7ULTZbPB4PDll\nEemuXWq1OiMMTaVSYX5+Hmq1Gr29vULWRCnHSSwvq6qqFCn4ldoWzyfTlzUajSLuMhsbG3C73SVJ\nSNIRCASEFWC51wSRVFVUVOR9z0gRLAVCKjwej2BLS8LOCLmQkrLkIxdSKdNyhvMXFhbw5JNPFt0x\nIwWvmJCEw2FMT0/jueeeS3EdSycuhXZcjo6OYLFY0N7ejvv37xcsFcv2WiKRwOLiInp7exEOh4Xu\nu5i0FNNxEWdbZJt1KvR+TM77ysoK9Ho9rl+/Lvxcts5FIbbGXq8Xq6uritn7chyHBw8eoLa29kyS\nByD3e05qgLPyjCwUGo0G165dw7Vr1/Drv/7rAJIzMkrMxiiJCwJxSpB7QYsHhostqs9S0ZkL4kC7\nYq1Kz/KxyjkuMc4CSUp3htLpdLDZbLh06VJJ5EF8TKFQCLOzs7h+/brs1cOtrS3s7u5mlUWIzwlx\nhNJoNBk2rqSw5jgOo6Oj4LhkXkS+B7vU+0AcevR6vWydspLbApRNX3Y4HNje3lZEkhKJRIQhc7lS\nCiJnU4IkqVQqwaVqYmIiRceePoCbTkilyIVarYbNZis4ZTofSCFYquOY+NrW6XSgKAorKysYHR1V\nJLAvHo/jzp07+NCHPpQx41FKx4WQh+bmZpjNZgSDwYLmY7LNuKhUKqyvr6OiogI6nQ6Hh4eSxAWA\n4CSWi5yo1Wpsbm7C5/NhampKGMAWE8t8A93p5CIYDAr3S61WK3RPC+1cSGFpaQlqtRoDAwOlndhH\ngEKe8WetBigE4mF8jUaDiooKcBx3pjopFwTiHIG0PEkYGhkYLtSelNyYzmJRTaCUxexZO770Qvu8\nW+emr9SToeg333wT8XgcXV1dCAaDGQ9Q8u98IM5NQ0NDspNinU4nbDYbbt++naLRljonYhKeTs5i\nsRg2NjYQjUbx2GOPgeM4YXuF6J3TCwQlw7ukVqpLxfr6OgKBgCKFq8vlElZE5erjidtVT0+P7CFz\nICmpUsrlJxqN4t69exgaGsoYghXLd9KRLoci5GJnZwdbW1u4efNmCkEtxgFK/Dvm5+eh1+sVcW5h\nWRb37t1DU1OTIuSBGBFkGxAvtuPCsiymp6cxMTFRcidOfF4YhsH8/DwGBwcxNDSUcb7ExCVX+KSY\nnOzv72N3dxf9/f146623ihrOl3qN7GNnZyfi8Tj29vYAPHzmi69B4jhGZD9arVbSOjuXa9VZQq56\nJpFIKDJHcxoQ12sEZ4k8ABcE4tQgdXFkg1S3odQwtLOwai0FsmpEBvqUsJg9C2SJFNrxeFywYNXr\n9Yrs02mcy/RZDXGa98LCAtxuN5qamlIyAqSsPNO1z+J8gGg0io2NDbS3t8PtdsPn80k+RKWyAdL/\n7Xa7YbFYUgZtpchPtnPCcRz8fj82NpxYWdmEz+fBwEAfFhZWoNdr0NBQB4PBAKPRKMytpEPKBnJ5\neRl+vx/j4+OIxWJZuxaFXCerq6sIh8MFherlw9bWluBWIzcXQOz0k08Tng9EPnL16lVFQqHsdjs8\nHo8ikiriUtXZ2YnGxsaiflaKXLhcLjidTjz++OMpyezkM1Rst8tqtSKRSCgyuE4kX+Xl5bJlcuLt\n1dXVKSKRIZ04s9ksa//E54VYcxbiCFXIHI/b7UYkEsHv/M7vZHwu0ofxC+m4iLstdXV1oCgq6ywL\nITbiv4nhCCFpGo0Gfr8flZWVeMc73nGmF7nyPf+8Xq9irlanhbNM3i4IxBmF3G5DNpAhvLNwUzjp\nVfnTIkv5LFiVwqM6vkJmNSwWC8LhMF5++eW8x0keklL2msFgEHfu3MHY2Biam5slHWnEVpzZtkO2\ntba2hs7OTvzsZz9LeTjrdDqYTCbo9XpJmQHLsvD5AtjdPQRN6xCPcwgGIxgYGAOgg8dDIxaLYGvr\nCGo1B42Gh0rFwmQyoKLCjOrqCpSXmyTJhc1mw9HREZ588klotdqUrgU5DvFgrpS8hdwDNjY24HK5\nFCn49/b2BFcjufrpUCgkBJ7JNTJg2WSSc11dHbq6umRtC0hKqpSyHCVDsE1NTULokxyIU6aJ3jn9\nfiiWNpDrOZtGfmtrC4eHh4JMRm4xsry8DACKzMUQCZlOp1PM056kQisx9A8g5f1T4rkUDAYFK1Qp\nUp3eKcgHYnQwNDRUsnSRXDeEVLhcLszNzWF8fBwMwyASiWR0v0rphJ0ExAPnUvD5fOeaQGxtbcHj\n8eCxxx477V2RxAWBOEVIFYDi1VEAMBqNJXcbpEBWeU8T6d0GJVflxXjUBIJ0igq1YJWLkz4+8XnK\nNashHk4upIjNJumgaRpzc3Po6enB+Pi4rH0PBoOYnp7GRz/6UVRVVSEajQrzDTqdLsNxRkw6nM4D\nOJ1+ACbo9fWIxcLY33fi2rVOhMNH4DgWDMMKMywcx4LjeHBc8v9oOvmH51mo1TwAFlotD5NJj0Qi\nhnA4gOvXR3Dnzh0YDAaYTCZBRpA+2EneL/HX5P07ODjA7u4ubt++LZyvUh/qZPh3cnJStiUqkfOI\nU7lLBVlRNhqN6Ovrk7UtAIJDkhKSqmIGsAtBoSnT4oIpG7ngOE4gShMTE2BZFkBSGpiNkOa7btbX\n1xEOhxUPipucnFTkHmmz2TJSoeXA5XIJhLrQ3JlcHe9YLIbZ2VkMDQ0pZoWqxIyC+H4cDodht9vx\n1FNPoa6uTpKs5uqEPWpykU9hcF4JBJl1+OlPfwq73S5IZi8kTBfIgFS3oaysTHa3QQqnuSpP0zQS\niYSwKn/SMwCP6ljF1rInee4eBaS6J7nO0+bmplDEylnNZVkWMzMzqK2tlZ03cHR0hLt376Knpwc6\nnQ7xeBwmkwlVVVVZZUperxfb2/sIBBLQ6RoxNNQHlUoFt9sNr9eLd77zuRRr2SRZoLMWoZnadgYH\nB/uw2Wzo7h5ELAZEowlwXBg8z8Bg0MJsNsBk0kOv16UQinTpAsuycLvd2NjYQFdXF958801hdZk8\nvMXaZnHSspTUi7jfjIyMIBgM4ujoKENjnd6hyTbLkkgkBDmP3FRuQNkkZ5/Ph4WFBYyPj8uWVCk5\ngA0olzJNCjqv1wu73Y5bt26hoqJCsBc1mUwpUrpcczrir+UEsUlBHBSnRFHkcDjgcDgU6cQByewA\n0gkqhlBnK2jJnEdHR0fRMrdsIIRuampKkWeNVJhdIWT1NMlFIRKmR5FCfVIIhUKyg0BPEhcE4hTB\n87wQ5ENWrJXsNkjhNFbl0/XmJ7kqL8ZJHmsp1rJKQ8njK6V74nA4YLfbcfv2bVmSF2I/ajabMTAw\ngGg0WvK2wuEwXn/9dbS1teHSpUswGo1ZC4pEInG8yriPeFyNsrIa1Nc/LHpDoaQEqr+/LyO4J997\nn95lCQRi8Hp9ePzxJzO2Ra4likqApilQFA2VigHPU9BogPJyEyory1BRYYLRaEQkEkE0GsXHPvax\nlJVqIkMgOmyicaZpWpAnkGKRfH84HMbCwgK6uroEG0ipuRUpmRiAFGLB8zxWV1dRV1cHo9EoONVk\nc6JJJzOk8DCbzYL2PBgMYnJyUrajGlndHx0dVSQPgKyeKzGATYrL9vZ2RVKmA4GAIJMhMqh0gpAO\nqTkdQi5cLhdWVlYwOTkJAJLZKMVA6aA4j8ejWFcJSHZp7t+/j9HRUUUSf0mnqr6+XvbiCIHD4YDT\n6VQsqZthGMzOzqKlpaXga1AOuQAeDsfLJRf5OhDnkUCQboPX60V3dzeA/GTpNHBBIE4RsVhMCM16\nVCvWarVa+ACfFKS6DeJh20eFkyAQhcp6HgWUOL5SuycHBwewWq24deuWLMkLcYhRqVQYGRkp6dok\nBXgoFMLdu3fR2dmJ3t7erGQuFArB4djH7q4XKpUZVVVNqKxMlShEoxFYrVb09HSjslJeEREOh7C2\ntoq+vkwiAkAgbFIkLDn3QeHwkILD4UM4HMD6uhWdne2Ym1tFRYVZIBhkG2QhIh3pD/RIJILNzU08\n8cQTaGpqyiltkboexOSCYRjMzMzgxo0b6OnpkbTIFJMSMvskfi0p/6Kh1WrhcDjgcrnQ09ODN998\nM8OhJh8pEX9NURQWFxfR2dmJWCwGh8NR0M9lK7aVzLQg8x0NDQ2KFJek+C3W5la8WiyGz+eD3W7H\n1NQUKisrM4Z404lJPhMAr9eL5eVlTE5OFhQYmA/BYFDIBJHbVQIedtB6enpKcn9LJ7niOQ8lJHhA\nKmFSIuuByAQrKysVmTECiicXYtc6oHByUYiEiRTg5wmkVopEIgKhOwtzq+m4IBCniPLycjAM80h/\nJxmiPgmkdxtOegYgH5QiEGfVgrXU40u3yjUajUV1TzweDxYXFzE5OSn7ob20tIR4PC7oqsmDpRCI\nHa44jsPS0hK6u7vR29sr+b1erxcbG45jmVIl6uraJY85Ho9jaWkJHR0dqK6Wt1odjUawsrKC7u7S\niEiymDXBaDQd28huYWzsCdTV1YFhGMRiCYRCFLa3XVCpWPA8A4CFyaRDebkZlZUmlJeXQa/Xpwxz\nUxSFhYUF9Pb2oqOjI8OCttCsAiKTWl5eRlVVVUogVrEg3RK/3494PI5f+qVfSiky01czpWwy019L\nJBJYWlpCY2MjqqqqEAqFcmYKpL9GzgEhFn6/H06nE8PDw0JCtFQ3RUr6lf6aSqXC0tISdDodrl27\nBpZlZd1TEokE7t27h66uLkVsbo+OjoSZjGxkROq6STcBINcMyfC4ceOGIoFY0WhU0ZkCQuaam5sV\ncfoCgLW1NcU6VUBy8WNubg43btxQhDABycFznucVyY8pBEqSC/IZzUYkfD6fbBvwR4HNzU0sLi4C\ngLAoefXqVdjtdvh8Pvj9fsHdS6/XK0IclcAFgfgFg9Kr8unzG6fVbZCC3GMVEyK1Wn1iw96PCumW\nsqVY5fr9fjx48ABjY2Oy2/srKysIBoNFDz2KrWT1ej3MZjNmZ2dRX1+fQR4SiQQODpIypUQiU6aU\nDoqisLS0hKtXW1Bf3yCL4MfjcSwvW9De3oGaGnkFDkUlsLy8jNbWNkGfTOYcgMyuBk1TiEQo+P0x\nsGwIAAOeZ6BSsTAa9djasuHq1SaUl5cjFArlvBYy5zkekguVSgWr1YpYLCYM64pXoIuF2+3G+vq6\n5Ap1sQ41JA9gbGys5NVf8TEfHBxgcXER73//+1NmCbI5ghE7TanXOI7D+vo6YrEYurq68NOf/lSy\ny5ItByD9NbLSTfTSTqczQ15G7DqltpkOkrnR29ubswAj+yMFMbmIRqOYmZlBV1cXzGazMMwttcJc\niCyK2Ppeu3ZNkZkCsgpfXl4ua8WakCYA2N7exsHBgWIyo3g8jtnZ2ZQZBbmw2+2KDp7LRSnkAkiu\n1ANJcvFnf/ZnqKioQGdnJ3w+36kv9BWCeDwOj8eDaDQqLFiurq5ic3MTs7OzODg4AMsmg1oZhsHz\nzz8vuVD2qHH6Vd4vME5L9qJEB0Kq23DS8xvFohQCcZYJUToKOT6p4ynVUjYUCuHevXsYHR2V/QCz\n2+1wuVwZzk3ZjkncNeE4LkWmMzs7C5PJlLKCJiVTqqrK7aTCMAyWlpZw+fJlXLlyRRb5pGkKFssy\nrl5tlr0CxjAMlpctaGxsLHhlWafTQ6fTw2xOXaXkOBbz8wvQaGrBspcwN7cHlYoGzzPQaICyMiMq\nK82oqCiDyWQUJFFkCFsMMvMQjUaFFVapodxCHX8CgQCWlpYwNTUle4Wa4zghD0DOg5bs89HREdbX\n13H79m1FVrvX19fB8zxu3ryZcv2nr+Snd1qkXqNpGouLizCbzbh8+XJK6jL5XtJB1el0Ga8BSCEk\n5Lw2NDTA6XTi4OBAspuSTU6W/hpZ2e/o6EBHR0fKvAu5VgrteKlUqhTZV3t7u+xzATy0f5U7EE+u\ne5fLJUi/CnVwygViF9za2qrInAyQtG0mdsZn8fmWDilyQQixVqsVyMX169extraGH/zgB7h//z6+\n973vQavVoru7G11dXcLfzz77LJqbm0/zkAT09/ejo6NDeMZFo1HodDp885vfxDPPPIPy8nKEw2FQ\nFIWjoyNFZn2UwNm/ai6gKMjNuxQ8SrcoJVAMWZIaIj5rhCgduY6P53mB4PE8L9sOmCRDDw4OynaF\n2N7exvb2Nm7fvp334Zqra8LzPObm5gAAo6Oj4DgOPp+vIJlS5u9hYbEso7q6OkW+kF1jqwIg/Tki\nBX99fT2amuQ97FmWhdVqQU1NDa5evSprWzzPY21tHSaTCb29vRnHlSw0KbjdiWMbWxo8zwJgoNer\nUVZmQmVlcubCaDTi4OAABwcHeOKJJzLOY66hXCndPNHuDw4OKlKgLy0tged5RcLTiPRmZGREkX3b\n2dnJGtaXPnyfD6Tz0NraivHx8azHSuRcUrMxYlJCBrrJLEsueRf5bGZ7jZACq9UKg8EAlmWxsbEh\nrNJLybvS7YvFcxnka5vNBq1Wi8uXL2N3dzfDZUxqpiXXNaC0/WswGBQCFOVaIgMPh7BramrQ2dkp\ne3tAchbFYrFgcnLyzBSjpYDcS8Tk4iMf+Yjw+osvvgi73Q6/34/19XXYbDbYbDZ873vfw5UrV4om\nEBRF4ZOf/CRee+01+P1+dHV14S/+4i/wwgsvyD4Wo9GYcS7Ky8vx/PPPy972SeGCQJwizsvgLSmu\nlSpGHxUKOdbzbMEqdXwsyyIejwsZBUqED8bjccEWVe7q197eHtbX13Hr1i3JBxc5pnSZklTXZHl5\nGfF4HKOjo9jddRQsU0oHx3GwWq0wGk2yB1k5jsXKygqqqirR0tIqa1s8z2FlZQVGo0mRldaNjQ0w\nDIPBwQHJ6yEp0zPCYMg8LwzDgKIo7O9ToGkPvN5D7O5uoq+vC3fvzh/PW5hRXm5OGeYuJJk7Eong\nrbfeQkdHB+rq6hCNRjMIhriIzIfV1VVEIhFFkrmJlKenp0cRO0WXywWbzabYAOza2hqi0WjeLIVc\nw6bk/eV5HlarFVVVVbhx44bseyAh+Ddv3kzZHuk4ZCMe2WRhLMsKMwW9vb1wu90pXRixZEp8jUkR\nFvK1z+eDw+HA6OgoFhcXixrOl3otEAhgcXFRkQBFAiWyHsQ4OjrC3Nwcrl+/jsrKSkW2eVrIdV2T\nZ6NGo0F9fT3q6+uFzJxSwTAMWltb8cYbb6ClpQXf+9738Gu/9mtYWlpCa6u8+306iAQSyD8sflq4\nIBC/YCiUQJCbPCnilErCfpTIJ4c5TQtWJXGSQ94UReE//uM/oNVq4fF44Pf7s67yZdNtkz8+n0+Q\nqEi5EZGuCZB8yOXqAq2ursLhcKCpqQVvvDFXsExJ6neur69BpVKju7s76wxAIdc8z3NYXV2FXq9D\ne7s8IkK6BWq1WhFnlN3dHRwdHWFoaAgqVfHXOZm3MJnM8Pv9CAZjuHXrnTCby8AwNKLRBAKBOBgm\ndDzMTQNgYTYbBAvasjKzMMyt1+uh1WoF+U1PTw9aW1tBURQMBkNeaUs2d5bNzU0hmVvu9U909lev\nXlVkqFacMi11/RcLJY8VUNaaFkjOOCUSiQxyo1KpSpLMbGxsoKqqCu9+97szZmCy6ePTh7zJ84Dn\neXg8HhweHuI973kPjEZj1lkVYoks9Vr6wP7c3BwaGxuFUEc5Q/YajQbb29vw+/2YmJiAz+fLSWYK\nOWdk0L63t/dc2pumo5BaRsl6xWw243Of+5zw7/e+973o6OjA7Oys4gQiEokI1/lZrbkuCMQp4jQ7\nENmKonTpy3mQ8mRDOoE4SxasSoFhGASDQahUKqEwU+p4aJoWbFGbmpokH6IkXyDbiiH5v0AggNXV\nVXR2duKNN97IeGAyDAOO44TCoqqqSpAlpA+Drq6uYnFxFc3N3YhEAqiqqhGchRiGhUajhlqd3YZT\njI0NOxIJ6riwTn3fSFu8UMJts9nA83xWIlIMNjc3QNM0Bgb6ZW9rf38Pbrcbw8PDsgvNcDiE9fU1\n9PX1wWxOFsFarQ5arQ7pao0ksaUQDFJwuyPguACSw9w01GoOZrMRm5t2XLlSj8rKSoTDYWg0GiEH\nIn1bAFKKw/TQqoODA9hsNkGKQv6/lPePyEZqa2sVIXCFpkwXCpKloJTGXhzspgQZ2dzchMfjUUwW\ntLe3h+3t7azZEYUM34qJRDAYxOrqKsbHx1FXV1fUrI4UyMD+u9/9boyOjgqzGrncvrLNuBALdHLM\nAwMD2N3dzftzRP4mRTLIOdjf38fAwIBsOeRZQrZzxDDMiQ9Qu1wurK+vn4iDld/vF76+6EBcQBJK\nuyIV8vvI7xRfkGIpz9uluCYzAkR+xTDMmbFglQMi76EoCiqVquSh6Fxg2WQydE1NjezBwmAwiOnp\nabz66quor68XJEoURSEajSKRSAiDcEBSn1teXi6sQJNOmMOxhwcPrHA6fejtHYZGU4FoNIZwOHL8\nEGXBcXzG38mHKCkQNMK/Xa5DRCIR9PR0w2aziVb/CAFRHf+8ChqNFmq1Svh/lUoNmqagVicf1Ds7\n24jHE8fyIHkF0+7uDsLhIwwODkKtlnedut1uOBxJ21GdTl6hGYtFi7KkValU0OsN0OsNSF9wZ1kG\nS0uLAMpB03V48MABlo2DZSmYzfrjeYsyVFYmJVFiC1qpAtHtdsNut2NiYgJGo7HghOVsiyhzc3PQ\n6/Xo7++X85YBUC5lmkCcpVCoxj5XAbK3t6dosJvS2/N6vbBarSXr9dNnKWKxGJaWljA+Po7GxsaC\nZ3WyXTvkejGZTOjs7BRee+iSVjw8Hg/29/fxoQ99qGC71mz2xuTrubk51NfXn8tcBCnkWggFkgW4\nEqGR2cAwDF555RX89m//Nnp6ehTffnV1NT7xiU8ovl0lcUEgfgEh7kK8naQ8YogH/GKx2CNNwD4J\nSJ2r8vJyxGIxxckDxz1Mhpa7snJ0dISZmRkMDQ0J5EF8HBUVFcIKIIFWqxWuQ+Km5HAE4ffzMBga\n8IEPvFBU4SQmFCybLBScTgcMBj1GRkag0WhSXns4AEqsOBlJYhKLRaHVauFyHSIYDKJjkdZwAAAg\nAElEQVS1tQV3704fk5WHRCT93w+JiDrjNbfbDY/HjYGBwWOry+zfmw9+vx9bW5sYHByUPSiZSCSO\nLWnbZVvSAsDGxiZ0umSBTghXsgvFQqPRgqYpuFwJOBxekK4FwMJo1ArkorzcBIPBgHg8Lgytpg85\nS8la8oWgWa1W0DR9JlOmQ6EQHjx4gBs3biiiXxcP0yoR7Kb09sTHq0R2BJGldXR0oKkpOSclJhdi\nFGoEsLq6ilgshsnJSVAUJXu1mGQ9FBuOR65hKdJmsVhQWVmJiYmJkvfrrCLbe+3z+RQxPZACz/N4\n5ZVXYDAY8Ld/+7cn8jtqa2vxwgsvnNnuA3BBIE4dj7oDQRCNRsEwzNum2wBIu0QBUEQycFrIJbs6\niRBCspqmVqsxMjIi65qIxWK4e/cuent7cfnyZaHbkO+aY1kWh4eH2NraRyCQgF5fCbW6Cn7/IUZH\nrxflbJJs62uRXLROXg8u1wGCwRCmpqYkB4bFIMOZUvsZi0URCASgVmvw/PPvgk6nB89zIiJCSEmS\ncDx8jU35Hp7nkEgw8Hq9cDgcuHatA16vJ8/P8FCpHha+6WQlHo9jZ2cbHR3XsL9/IElACDnJR2xY\nNulQdeVKE+rr5Q8Sb21tIR6PYXBwULJbIw7PSwcJzwsG42DZMGKxMFZWltHR0QKLZQMVFQeoqEiG\n5xUyzC2WtbAsi/X1dRwcHGBiYgLxeDyrtKUQKJ0yTToZg4ODiuQAKE1GxCFnSmwvFospmntAZGmX\nLl0q6Hykdy7EIORiY2MDPp8PExMTwv1YygSA/DufLIpkPSjlRgYk5WRer/fMZD0ohXyFtdfrPbE5\nj1dffRUejwff//73T1TNcJbJA3BBIH5hkO6jr9Fozr2UhyCbZalKpVJkRehRQ+xCxDAM9Hq95Lk6\nCfK5uLgIiqJkO9gkEgm89dZbaGlpQU1NDYLBYNbjEP/MwYELi4vr0GgqUFFRh4aGMoRCIayuWtDX\n1yc7fdXr9WBrawvDwyN5yQPpXiSRWTh6PF4cHOxjeHgEen3SUUel0pQkO/L7/fB43Hj++XcJswX5\n9i2drJDuyNFRBFarBaOj11FRUQ6W5YTvJWSlUILDMAy2t7dgNpeBomg4nXsZZCWTiKhFr6USnMND\nF7xeHwYGBhCLxVNIC89zyHc5E1lIcn8S2NpyYHh4Cg0NDWAYGuFwAj5fDAwTBEnmVqtZmM1GoWuR\nPsxNsLu7C6/Xi6eeegp6vT6ja5FtmDu9QCTnh8halAh8oigKMzMzKSvnxSD9PqE0GSHFfn9/vyLb\nI52CtrY2RTo3xO5Wp9OVHCooBpm5ITkKJpMJPM8jEomgrKwsg5iK3aGykVKS9dDW1lbSOZbCwcGB\nonKys4R8z3Wfz6dY4J4YH//4x7GysoLXXntNkfmjdIiP66zXLRcE4pRx0heIeAWb+OgnEgno9fpz\nTx7SLVjPm0tUOqSyKHLJrpQmEFarFaFQSPZKFUVR+NnPfobq6mo0NDRAq9WirKws63Gkh74ZjU2o\nrq6CWq1BNJoshru7u1FVJc8WMRAIwGazYXBwKGcXgwz/JhKU6P3lAZCHvgrBYAhbW1u4fn1Uth1n\nKBTE+voa+vv7CyIPAFkdzSQriUQCDscqhodHZAfY8TwHi8WKhoZJdHZeS5F4pZMWMfEQkxWKekhW\nPB4P9vb2ce1aB/b2nBlkhbjd6PW6FCIiRVZ4nsfm5gZqamqRSMThcDjSyIoOarXh+P3hEYtxCIfj\nYNkIABZqNQ+VioNWC5SXm0BRUTidO7h9+zZomhZmcgpJwxVbiJLCcHl5GRRFYXh4WLiGSr0vkU7G\n5cuXZXUyyO8nsqpSyUg6lC72Saegrq4O165dk7094KHDVD6720Lh8/mEORQi1RJnEhSSzi0mpizL\n4v79+ygvL8eVK1eQSCQy5i2K3W+/34+lpSVMTEwoIic7ayikA6E0gdjZ2cE//MM/wGg0CqGeKpUK\nf//3f48Pf/jDivyO81S/XBCItyHy2XqSB955RHonJd/chtTA+FlDqVkUShIIm82Gw8ND3L59u+SZ\nCpZlEY1G8fOf/xw1NTXHg7vZZUperxcbG04EgxT0+oehb0dHR+B5HvF4HEtLS+jouIbaWnkPgnA4\njNXVlZxdDI5jQVH0sZGARlhVFJMIjuMRDCYdpXp6eqDVahGPx4TiNvmgJ1/nl7tEIhGsrq6iu7sH\nFRXyZB80TWN5eUmR9Oukve1DG1kygF4q/H4fAoEA3vOeF2EySZM34uil02lzkhWaprGysoJLly7h\n6tWrkmQlnchkysC4444Hj6OjIzgcu2hqasL+/k+h0XAAOOj1alRUJLMtKipMMJlMMJvNKcnc6Rac\nKpUKGxsb8Hq9eOyxxxCLxVKkMMUMc5PzMDc3B7PZrMigptKyKrEsSIliX9wpUGKAHUhK5ojDlBIS\nnqOjI8FRSyzVKuQ5k41cLCwsoKysDKOjo8I9p5h07nSQYMbR0dFzLeHNhXzvt9/vV9xtqrW1VTgf\nSoLjOKjVavzTP/0TxsfHcePGDeE1IjW/f/8+mpqaFOtOKYELAnHKULKwTe82GAwGSVtPYnF4niDV\nSSlkbuO0ZkzyIZ3kGY3GkgfY5RKkra0t7O7ultTmFsutKIrC0tISLl26hLGxMcl9IjIlu30PNK09\nDn3LXHVPJCgsLy/j6tUW2QFe0WgUFsuyZBeDPKgpKgGGYaHX61FeXiYUywzDiN5fFeLxCOx2OwYG\nBo6TQw0AVOB5TpABcRwLhkl+DZDikRCLJLkAVEgkErBYLGhv75DtFpKcU7Dg0qVLstOvAWBraxOJ\nBJU1dK4YJDss6+jv789KHghUKhx3H7Kv4K6srKCxsRHd3T2y9y0cDmNpaREvvfQyKisrU8gKTScQ\ni8VB0wns78fBsn5w3AF4noZOp4bBoIPZrIderxW6FR6PB06nE319fVhcXExxxRETiXRNPCEkJFWZ\nSLXsdjtomsbo6CicTmeGNWe2/JX094UUpXNzczAajYrIqniex/z8PPR6vSKyIED5ToHL5cLGxgam\npqYUkfCcRI7C+vo6jo6OcPPmzbydi0IkdTRNY3p6Gl1dXbIXEs4yCulAnJfjJzXKv/3bv2F8fBwA\nUjqhAPDHf/zH+MM//EM0NTWdmUXRCwJxzkEKUWJTmk9nDjy0Nz3rSD+2UixYzxqBIO5Q8Xg8J8kr\nBErcQBwOB2w2G27fvl2UU49UXsja2hrKysokyUMwGDx2U/IhGfp2JautKMsysFrX0djYKFsSkUiQ\nLkZHSheDXFtkRsZg0MNkMucdcBQX/LFYDIBYTpT6/cnrjj8mFklCQfIuKIqCxWLBlStXUF1dBYZh\nBKJBSEeh4PlkknZ5eTlaW9uKeXsksbu7i2AwhKGhIVldBwCIRpXrsACA3W4Hx3Ho6+uVff0nEgms\nrKygq6u76EKDpinQNHVMPGkwDIPDQw92dw9w48YY6utrUVlphtlsShnklspJEctYGIYBTSe3Z7PZ\n4PF4MDAwAJ/PlyKfEktgpCw7yUo3+cOyrJAlMDAwgAcPHmQQkFz/liIrq6urkkFxpULpToE4uK8Y\n44VsIDMKzc3NkivbpRR1DocDTqczb/6G+Hym/07x9UD2saamBnV1dYhEIjkHus8z8j3X/X7/icxA\nnCS2t7fx6quv4lvf+pbQ0VtYWMA3v/lN/PCHP8Sf//mfn/IepuKCQJwySv0Qk0I0kUhApVIVZVN6\n1orqdMg5tnSchWNNd4fS6/WKZTfIkWgdHBzAarViamqq4AdsuisUmTtZXFwETdMpxQSRKdntDoRC\ndIpMKRs4joXVmpSnyE3/pSgKi4tJSU9Dw+Xj7SeLd4qioNGohcIu3/tH0xQslmVcvXq14GKTdC3S\n6wKGYbCysoLm5itobr6asupNSEehkiie57G6ugatVquIhMTlcuHw8BDDw0Oyr89kh8WK9vZ2RfzY\nd3d3EIlESk7TFoOmaVgsy2huvlLSKqVOp4dOp4fZnJTDBYNB+P1OTEy8CwaDHoEAhcPDMDjOD4AG\nwECj4Y8taJOyKLPZdNzxKs9YHd/Z2UFFRQWee+456HS6FCtRcXBYtuJQnKFCulO1tbWCOYIUiRFb\nX0u9Jv7a6XTi8PAQ3d3d+M///M+CiIdarYZWqxXNqjz8Ga/XC5vNhsnJSSFQsJDOSjYQmZFSEh6e\n5/HgwQNUVlYqlqPg8XiwurqKmzdvljxHJZa/qdVqLC0toaqqCqOjo8J+55rXOe/kIt8Q9XlJ2ybE\n8IknnkB9fT3+9E//FC+//DLsdjv+8i//EpFIBACEbvxZOT8XBOIcQarbUF5eXvSD/ix2IKSK7FKO\nLR2nSSCyuUMpaaVX6vG5XC48ePAAN2/ezOuvnu4Kld4JWllZSRm+jsfjcLkO88qU0sFxyaFds9mM\ntjZ5K+kMw2B5eRkNDfW4cqUZLMsgkaDAMAx0Ol2KTKmwbVlQX18vW3+aJEhWVFdXCd0C6VXFwiRR\nJLFaCamR1+vFzs4OhoaGBFepUkEKdKWsX/f39xVL0+Y4FisrVtTU1OLKlWbZ+xaJRLC2toqenl7h\ns5R8/1I/V8kCjoLbnYDTGQDgBs+zABhotUBFRRkqKsyIx4+wubmJxx9/PGXWQgxxYUj+lsooUKlU\nODw8hM/nw1NPPYXKykrZ18ne3h4A4AMf+ABMJlPWropYbiP1WjJjhYXf78fy8jJ6e3uxv7+f82fE\nK/FSHRNCjpaXl9HW1gafLzl7U0iXJf3f4vdpeXkZPM/nzMUpZiGn1KyHXJDqCJG/5Vw/6QTjrBSv\nxNEqG4LB4IkGyZ0E3vWud+GJJ57Ac889h+9+97sIhUIYHx/Hxz72MSwvL585SZYqT/Fxdpep3yYg\nQ8G5kL4iT1ripX6QGYZBJBI5E8NVUkW2Xq9XrMg+OjqCTqeT7ZRTDEhyMkn1NhqNJ+YOFQgEUFFR\nUVRR5ff78YMf/EAY2OZ5XvJhSogmy7LC3AnpOJDvdzgcODw8xI9//GNotVr09w+hru4qjMZaVFXV\nwmg0Co46uc4p0bYDQGtrC/R6Q8maZY5jsbS0hLKyMrS2toGiEuA4Hnq9DjpdcdcWRSWwtLSE8vKK\njKHTWCwGg0FfMBFJHqMVGo2mJP1+uiRqe3sbfr8ffX190GjUELtEkW5FoZKoYDCI1dUVDAwMyi5o\nSG5EZWVVUUSQBMmlkxePx4PNzU0MDw/LDsTjeQ4rKyvQarXo6upWRAa1sLCA9vZ2WQ93Mofj83lg\nsVjQ03MNZWUG8DwLk0l7PMid/EMsaA0Gg+S1LC4OXS4XFhcXMTY2JnQZc60653s/vF4v5ubmMDEx\noUjWw9HREe7evYvR0dGCVovzkRUyo1BTU4PW1ta8RIYsjkilOBOy4nK5EAgEjom1PoWsiO+XZBA2\nec/LPp9CUZRgedvc3FxUZyUbtre3sbW1hVu3bsm2Fk3vWqR/nW4AcFrkIhaLCfNCUnjxxRfxxhtv\nnBnCkw8cx2FkZARVVVW4c+cO+vv70dLSgvb2dnzxi18ETdOKhCmWCMk38aIDcUaRbUVeiZvNWZD1\niJ2HxFIYpT/sj+pYlZjXKAXFHl8oFMK9e/fwjne8Q7ChS5c7UBSFaDQqOMiQQl7sac6yLLa2trC5\nuYnGxkb867/+q0CEjUYzenuH0dd3HWNjj0Or1YHkKUgHmKmxt7cHhmHQ1dWFzc0t6PW64wJJ+vvF\n9p6p2QMqWCxWqFRq1Nc3gKIS0OsLkymlg+M4rKyswmAwoL29XfK9LxQ8z8Nms4HneXR3l1a4iiVR\ne3tOhEJBjI6OQqfTpZCLYiVRR0dHWF1dQW+v/JwNUqAbjSbZXSQgSWw2NuwYHBySTR4AwGazg+d5\nwVlKDuTKoMQg94m9vQM89tjNlJVThqERjSYQCMTBMCEk8y2SydxmswEVFWZUVpoz8i2Ojo5gtVox\nOTkJs9ksDGSKC8JCMgoISQmHw4oGz8XjcczMzKCvr69gqQnZH6nFBZ7nce/ePVy7dg0jIyOy94/j\nOOzs7IDjOLz44ovQ6XQ5CUk8Hk/prKTLvwjBWVpaQk1NDdbX17G6ugqWTd4b0wlHNqKS/lo4HIbX\n61WEPACFBejlS+d+FOQiV8fntOubUhAMBmGxWKDX6/G5z30O73vf+2A2m/FHf/RH+N3f/V3Mz89j\nfn7+tHczBRcE4pSR/gGQ6jacFdmLXIgtWOU6DxWKk5ZrKTmvUQqKOZeRSATT09MYGBgQyAPZBllB\nI6ty1dXVuHz5clYCtLGxgYODQ1y92gOW1ePzn/9bzM3dxVtv/RTb23bMz9/F2toiPvnJ/1cYlhZb\ncoptNbe2NlFWVnZcWAORCEly1RzbdpIHcGoac3r2AEXR2N7eBsMwaGtrQyQSETTX2QhHtiRmtVqN\nzc1NsCyL7u4uxOMxpIekFYN86cvFwO0+xN7evmCTS84hIRfFSKLi8QSsVgs6Oq7BbDaDZdmSBrnJ\n70lav6rQ1dUl6xgBpBCbsrLC8jFyYXt7G7FYVJEZCqVlUBSVwPKyRXJeRKvVQavVIX1MKVm8UQiF\nKHg8EbCsHyoVC46jQdNRbG5uYGRkAJFIFNFoFGazGRUVFdDpdFmLQ3FhKHb6IcFz/f39qKioAE3T\nKcVhsSDDvi0tLWhulv/+AcDS0hJ4nsfQ0JAi2/P7/bDb7bh9+3ZBK7/kGZCtiOc4Dvfu3cMzzzyT\nIYWS6oBk+5p0TDiOg8/ng8Viwcsvv6zIoHg+FEMu0gmqnM6XFAohEOel+wAkZza6u7vxne98J8Ul\n7dvf/jY+8pGPwOfzAXho+XoWcEEgzgjI6jVN00VlAZQCUnQ+KiuwUi1YlcBJEQgyE0DOlxLzGqWg\nUAIRj8dx9+5ddHd3pzywiYSMhNflI0DBYBBzc4u4c2cO/f2PobY26aZ05UoHnn763fgf/wPY39/F\n3buvIxQKpDgtkQeH3x/Ej370HUxNPQ2VSgeGYXDr1i3h/YvFYtBo1AXp8EmnjqISsNs30NfXh5GR\nESStilNJhhTxIA86Ip8hr+3s7CISiaCl5So2NjaRniVAHJVId0NMTB6uGib/z+12IxgMore3B/v7\nB3nJS3p4mhh+vx9bW1sYHBwsWJaXzSUqkUjAbrejo6MD9fX1KS5R6cF5hUiitra2FLN+jcVisFqt\n6OzsUkRqub+/B5/Pi6Gh4YIlZ9mQHFxfhdFoVKTLwjAMLBYrGhsbi5oXSRarBuj1Boj5FU1TmJ+f\nR0vLCIAarK4GEI9HoNMBajUPrRbHw9xlqKxM5loQSZRUeB6R3PT09KC5uTlloSHbMG6uwpBkR1RX\nVytCNIFkjk0oFMLNmzcVKa5CoZDQbVFKNrK0tAS1Wo2BgYGM13J1VrIhGo1id3cXL7zwwpnQ+ucj\nF+kBevk6X2R7uUhCttcCgcCZkGgXA57n8corr6C3t1f4XHEcB41Ggy984Qv4xCc+cdq7mIELAnEG\nEA6HQQLflO42SIF8KE+SQJRiL3sSULLbQjoo8XgcxLr0UZwvuaAoCm+99Rba2tqEgid9TiMXYWXZ\nZIrwxoYTu7se7Oy4MDn5HKqrpZOhm5pa8L73/UbW/bl793V88YufBwDU1TXgiSfeiUjEh7GxWygr\nK0xCQ1ZfEwkKKpUKLtcBGIbB9evXRUSutNvbzs4O6urq8Oyzz0KlwrGHf+o55nkesVgUGk3yd4jJ\nhzid2eVyIRwOobc3GTqXXNHNJDTSYWfs8Wc0SSri8WTickdHB+z2jQyiko+MiF9LyrNWUF9fj8bG\nRsnjK0YStb+/h0DAj+HhEdkFOk1TsFotaGlpUcSG0e12w+FwYmRkRJEsgKSVrDIyKCL5qqqqVCT0\nimWTQ/qXL19GS0ur8P+JRKVADpKdBQouVwIOhxcAA55nADAwGLQoL0+Si/LypEvUwsIC6uvr0dnZ\nKbH/hQ3jigvExcVFqNXqnAPJxcDhcMDhcGBqakqRRZx4PI7Z2VkMDAwUdf3lGuoVZz0o8cwl6d/X\nrl1L6SafVZAutxSkyAVxiyLvqZQkKhf8fj9qa2tP4lBODO3t7fjUpz4FAMJ1JA7//a3f+i0AZ6ur\nckEgzgCI7vhRXhgnJWM6bUlPOpQ4zvQOislkemQdlHzId3w0TePu3btoamrCtWvXBAlZIXMa8Xg8\nJfRNpTLA641ibGwiK3koBI2NzXjyyedx//4deL2H+Pd//wb+/d+/gfe97yP4n//z/8t5TBzHIpGg\nQNM0tFotTCYTDg9d8PsDGBkZkV1A7O0l7SnJtliWkfy+5ANRK7liS+D1ehGLxfDkk0/BZDKVtD/k\noRoOh7G8vIxnnnkGFRUk8CyXnIvKeO1hkjODjY0NGAx6sCyLvT0nAGSVeGXOoDzsQqhUKvh8Xhwc\nuNDX1wu32w2NRn38vmiFQDQpZxspsCyLtbV1gdjIRSAQwObmBgYHhxQxUtjd3UE0GsHgoHwZFM/z\nWFtbh06nQ3u7/FRonuewuroCs7kshTykI3kuTDAaM69JhmEQiyUQCiVAUUHY7WtQqVjQtAF+/73j\nQW4TysvLBDMP0rmQOr50ScvKygr8fj/Gx8cRjUazdi0KvbeKrVCVmJEh0qrW1taiM2iyLcgVmvVQ\nKEgHp76+XnI267yhEHIhJasDkp1Kct1sbW0hEAigq6sLXq/33Fi4Emi12qydpI6ODsHE4yzUHQQX\nBOIMgOjPHyXE7TG5SB/4Pk1JTzpKJRDp1qWn1UHJh1zHx7IsZmZmUFWVdMMJBoMFy5R2d/fgdPqh\nVpehsrIZNM1gcXEBXV1dssgDALS2duH97/8d/K//9dfY2bHj7t3Xcffu67h161nJ79/asqGiogom\nkzkjLfrw0AWHw4nR0RHZA4SHh4dwOBwYGRmVva1gMAi73YaBgcGSyQOQPL80TWN9fR09PT2yh3WJ\n29Xo6EiKExSZkcgm8cpGVHw+P7a3d9DZeQ3xeALRaEyQgzFMMhiNzK9wHA+1Okm8CKHQaslAaHLe\nZXt7G+XlFaioKMfW1pYg4yqM2DycTyHD4Wtrq4rNUChpJQsk076VsuAFkgPiALJ2Cgr5FYTwAWXY\n3NxAeXnd8f6pQdMUwuEEfL4YGCZ4PMzNQKViUVZmFLoW6cPcZDV1Z2cHfr8fTzzxhJBtUcyqc/rK\ns9JWqKQwr6mpkXwPS4ESWQ/pWFhYgFarVSz9+yyDkIv0zxvHcYhGozAYDML9aWZmBn/3d3+HjY0N\naLVaVFZWwuPxoLu7O+XPeZM2nWVc2LieAZCH7KNEOBwWUpBLxUlbsCoBmqYRjUYLvmmkzwTItcw9\naUSjyYHj9CKV4zhMT0+D53n09vZCr9fnDE0Ty5RI6FtFRXLAPZGIY35+Ae3tbUIgW6kIhYKwWq3o\n7x/I6uSSSMTB84DBYABNU/j0p/8fLCzMoK9vBLduPYOpqafR1zeCYDCA9fV1DA8Pw2yWVyD6fD6s\nr69lbItlGUkJU3I/E5IdiHA4DKvVgt7ePtkPK5qmsLi4iKamJjQ1yUvlBpJSCoqiMDDQL3sFPRQK\nYmVlBf39AwVliQC8QCrIn2TxyIDjeNjtdrAsI+jiHw59F09sKIrG7u4urly5gpqa6mOioTkuSKQH\n6XMRlWAwiJ2dXQwPD8FsLitpkF4Mh8MBj8eDoSH5gX0AsLOzLViNSknI4vE49HpdwfIyEhQ3PDyc\nd/+ItJMkcyflUDR4noFGA5SXm0BRUTidu7h1awq1tbWCtXW27YnPr/jfAI7vSQnMzMygv78fV65c\nKXmYW4z5+XnQNI3x8fGStkUKWnI/CIVCmJ6extjYmGJymrW1NXi9XkxOTp65xaxHCaIKkBoc5zgO\nX/va1+BwODA0NIT19fWUPy+++CK+9a1vFf07v/KVr+DrX/86FhcX8ZGPfARf+9rXlDiU84ILG9cL\nPIQcac+jsmBVAmq1uqDjFM8EnPQQ+0mCPMynp6fBMAwmJiZyzmnE43Hs77uwsZGUKZWX16aEvkml\nOZeKSCRpK9nT05vTBpLncTwYTdKik1kSFsscLJY5/J//80VUVFThD/7g83jqqXfKJg+hUBDr62vo\n7x/I2Fax5z8Wi2JlxYquLvnDv8k8BetxgJ188rC9va2YE1QkEsHKykpKeFouEJconS5zUJRY3JrN\npuNMC41AHtKD88hQdy6XqOQQ8QKeffZZ1NfXZ51PSZ9BSV5zma+Fw2FsbW2htbUVq6trkvMp6Z2Q\nXPMpgUAA+/v7GBgYPA45K26QPh37+/vweDyKzJ8AyZmR/f19jIzkJw8AUhZapMLzvF43lpe30NHR\njrU1L3jeBZ5nYDBohGTuiorUYe5c4XkURWFubg5tbW24dOmSkJ4tdvUpNvxsfX0dkUhEsRmFeDyO\ne/fuYXBwUDHysLu7i/39fcWkUOcZueY31erkvNjU1BR+9Vd/NePnwuFwSb+zubkZf/Inf4If/vCH\niMViJW2jUMRiMcRiMVRWVp4JJUc2nN09+wXCaRSpxRKIdAtWg8Fw4hasSiDXcZJB73g8fq6OSQxy\nfOLZE4vFAgB46qmnsj5o0mVKVVVXodWmFnYMw2BpaQkNDQ2yrSpjsRiWl5fR2dmVVef5MC2ahlqt\nEWRK//t//19EoxHcv38Hb731U/z85z9BKBTA1NSTksUrw9AZx5INhZKaQpBIJK0429raUFsrb/iX\n5zlYrVZUVJTn1LMXCqfTqZgLUTweh8WStH6VK2cDkqvxkUgEfX390Go1gnMX6Vokr2++IJcojuOw\nvGzB5csNigwlRyIRWCzLePHFFzOOldjjSjl8pROVZCeLQyAQwNbWFq5d60QsFsXR0ZGwjVyD9Nnm\nU8LhMA4O9tHd3YOdnZ0UGZeYhFAUDZPJCI0mm61x8j1M7t8mBgcHZaeRA8nPxNbWNkZHb2R87ski\nwd5eAgzjBsCA42ioVBxMJh3KykyoqkrmWxCCotPpMD8/j8bGxhSry2LyCdItRGoS3e0AACAASURB\nVJWaUSC/hww4t7e3y06uJ/B4PFhbW8PU1JQiWQ/nHfkMYLxeL6ampjL+X6VSlXyff9/73gcAmJmZ\ngdPpLGkb+UBCW//6r/8a3/72t/HP//zPitkSnwQuCMQvKJI2l/nnLk7TglUJSBEIUmzH43FoNBpB\nynVejkkMMbHT6XTY3d0Fx3GSD0MpmdKlSx1ZrBaTacLV1dVobZVXwFJUAouLi2htbcsYbCMPeoqi\njp2t9NBo1Md6+Yf7bzaX4YknnsP4+ON44on3oL6+TtIh5eDAiVdeeR5jY7cwNfU0pqaewZUrLZL7\nRUjNtWudJdkgqlQP/cZJqFhTU5PsTk1yTmEVOp0OHR3XZG0LSOZG7O+n5kaUCpqmYLEs4+rVZtnz\nGADgcrmOpTJkKPnhZ5V0LVQqIJ3TS7lEsSwHq9UCg8GI+voGJBIJUefiIckoFISMt7d3SBKlh/a4\nhRWd4XAY+/t7ePrpp1FZWXh3KpuMKxgM4vDQhfHxcZhMpgwZVyLBCO9NNBoThchJ2xoTl6+WllZY\nrSsFz5toNOoUYkI6RSzLwGpdQUvLVZSXlx1njDw8B2TewmTKlKHQNIVolEIgEDsOz2PAcQw2N9eg\n1+swPj6K7e0dmM0mgVzo9fqChrnFFrRutxsWiwWTk5PHv5cuaZhb/HsePHiAmpoaXLsm/7MLpM56\nKDHL83ZAPgLh8/kUcXB71CCLlySrhczNPCrL/WJxQSDOAE6rA5GNQJwVC1YlQR4c4mTvioqKM90e\nzIb0zolarUZlZSWWl5exsrKCxx57DB6PR5ABMAwDt9uL3d1DcJwRFRV1qK/PPnTIcRwsFiuMRpPg\n/FAqaJrG4uIirly5kuKqk7R7TNqwJmVKD+czkmQi0/0okYhjcXER7e0dWR16FhdnEY1G8LOfvYaf\n/ew1AEBr6zW89NKv4ZVXPi58H0UlE2FbWlplF8JJ60wLamvrFAnFStqEcujr65V9b/D7fdja2sLQ\nkHwXIiKpunTpkiKSKp/Pi52dHQwNDUGvN4Cm6YJ/lpALEpzH8zw2N9dgMpnR19cr6lrwEAfnJX9W\nDbEkSqVCBrlQMmUaSJLVlZUVdHV1FUUeyP6S4yT8LxqNYH9/D2Nj4wV1gWKxGIxGQ1Y5VCKRwMLC\nPJ5//t2ora1JIRjZZ1BIsBkNlo2lvMYwDOx2G8zmMhweunFwcCAQm+Tqf+EzKOS1/f1DRKN6NDd3\nYmsrDJYNHM9Z8FCrOWg0QGVlGaqrK1BVVQ6z2SQMc0uF5wWDQayvr2NychJVVVWSLj9SXYtc8xaL\ni4vQaDSSWQ+lgAT4KSmFejsgX0Ht9/vPnQsT8LAW/PSnP42PfexjwsLWWSQPwAWB+IVFrpX5s2LB\nqiTC4bAw6H0eshukIHV+iFvUzs4Otra20N7eDr/fD4/Hg2AwiP19Nw4PQ+B5E0ymMqhUGrDsLgBp\n206VSg2HYxdAMk14c3Mjh65bAyn9N/ma41gsLy/j0qVLgpzkoUyJOZ41MQtZCrlA0zSWlpYyiEg6\n3vWulzEy8pjg7DQz8wZ2djbg9bqF7yHSrMbGRtkSg6R15jrM5jJFQsV2drYVswlNznaso7+/X3KV\ntxiQvIKysjK0tso/zmAwCJtNvksVwdbWFiiKwtDQ4DEZyN61yCeJ4nkeVqsFlZVVaGpqkr36J861\nkCttA5Lk12Kxor29vQgJWfL4pJAMsltGc3OzIta55P0bGRmVDIqTkmqRQfps8yn7+3s4PHSjs7MT\nkUg0ZZCeuHzRNAOa9oCi4qBpCgAnkAutVn1sP2tCWZkRGo0GNpsNfX19ODw8hNfrPb53aYQ/6Z0I\n8sxQqVRC94Qk3atUKthsNhwdHeHWrVuKPDNpmsbs7KyiUqi3C3JlbgDntwNBYDQaFbElPmlcEIgz\ngNPsQJBVl/RU5UI8288yxNIrAGfeTSkXxEPr6Ra5FEXB6XRid3cX73znO2EwGOB2u7G5uQeWrcDV\nq80YGKjOOO5sDjY2mw2VlVXo7u4CzyNlBZKmaeFhLbUayTCsUBwwDA2HwwGj0YirV6/C5XKBZZOr\neslzoT9++KYSEbVaJRR3ZWXJGQiS/FtbW4P6+kugaVp4wEvh8uUrePnlX8fLL//6cXE0h+rq2uPj\nZrG8vITq6hq0tLTg3/7t/2fvvcMbK8+08VvFkiy59zruvUzz2OMZpgGhh3xJICSE9F8qXxKy2Q2k\n7pJNyJKybLJpP9iwZIGEmiVAgMDANGbGHobxjLtkW5KbXGXJ6uWU74+j96gdNUszmGTu6+LCI8tH\nR0dH5zzP+9zlfzAxMYbduw+gq2sPMjKC+bGk2BSLw4tIluXElxKJJCW2jwbDPIxGTqeQ7LTP4bBD\nrVb7RM7JaTtIXoFYLE7J+7Tb7VCrOQF2Kuw35+bmYDab0dHREbXpiocSxdGgxiCXy1FeXg6Xyw0S\nnBcs5o6PEhUohE9Fcb7R1OpIYBgueC43Ny9pnRPB1BSxkxWm8IhEYkilYsRbfhiNRgAiXHXVVXEX\nVaH6FK+XCwB1u50+A4AR5OVlY3nZgbW1KaSny5CeLoNCkeazF5byzSRJTaZpGjTttyYmzadIJILR\naMTCwgLa2tpw5MgRpKWl8Q5t5Gfyf9KohDYsgY+JRCKMjo6mlAr1t4RYTT1N05e1IpcAlxuIv1OI\nRCLQNA2LxYJ3U6pyNIRSr0hQms1me9c5KoXSlBQKRZjA+/jx4zhx4gTy8/PxwQ9+EEtLK9BqDaCo\nNJ+bUuRVZzJNCLwE6HQ6SCRi9PbujmsqEAlcYBRHdams3MLb/JJGIZro1OvlguLcbjdsNruPCjHF\n34AvXLjAP5eISyPxswkvW6XKAU1zQUM6nQ4yWRqKioqxsrKCF198Gmr1EJ5//o8QiyVoa9uGnp79\nuO66DyAnJx8URahU4UWkVjsFiqJ8lqjJnVsrK8swGFKjU3C5XBgZiczdTxR6vQ4ejycleQVEgF1b\nW5eSfVteXsLi4mLcjkGRQJoLvZ5L+G5p8dvckmI0UUoUwPJTm1QI4VOdWs015hrI5bKUTM8ALmjP\nbrejvT35CRrATdFInkoiK7Kh+hS5XI6MjEywLCeyb2/fydMzKYrTYHk8bjidHnD5Fl4AXiiV3N9l\nZ6t4vQWxKydT/KWlJQwMDGD//v3Iy8vjLYq9Xm/Qz2RRi2glQhOYA5sUkvuSKirU3xqiGcCQY5tq\nEHobaR4j2Xj/PeFyDsQmAVkpv9gItCtlWZbXAbybiutQCFF7AkXRFouFT4/e7Ah8L0REFUng/dGP\nfhTPPvssAKCkpAxdXVdg//5rsGvXFZDLExt/zs7OYmVlGZ2dW5MqxEhQmdPpQF1dHdLSZD5hdPzb\n5C7OLiiVKoyNjUEsFqOpKVwPECoIJU43QpMVmqb5nIGqqmr+hq3Xa3DhwlsYGTkHrXaM5z7feee/\noKysij8WgQFlYrEYy8vLsNttqKmp5bNPOEqDBFJpGh+QRpoY8p9UKgmjjJnNJkxOTqK9vT1pqlGq\ncyNmZ2d9U5Hk8wo4PcxgxH3jNBAs78IUCybTWsqOG+DPUmhra4+rKBCiRBFRN8symJrSgmEYtLQ0\n881FLAvaaK+l0WhAcl0SFfe6XE4oFOlBf6fVTsHhcPJBccliaWnJF8TYEfdnGA1OpwPDw8Oor2/Y\nkMlBKBI9htwiDsm38ICmSXNBQSymoVQqIJEAU1Ma7NixHTk5OcjNzY248i3UMJB/B4bnabVarKys\noLe3911lWHIpEZq5EQiGYXDDDTfg5MmTKX3Ne++9F/fee2/Q5/HP//zP+N73vpfS19mkEDwJLzcQ\nmwSkoL8YELJglclksFqtKbkwv1MgSdGEeqVQKASpV6kIzbvYEHovkQo2mqYxOTmJn/70P6DRTGJk\n5DxsNr+3tUwmx44du9Hbewi9vQdRUVEd9bUNBgPm50ma88aEtkSLodGoYbFYsXVrJxSK9A1NtMix\nMBgMvtCz1qQnY1NTk7DbHb6greBtkULBZFrDwEA/xscv4Ctf+S7vJENWDSmKwpNPPoyionKoVLmo\nr2+ARCIGIOJpDX6KA0lgZnmOPVcoBNPH7HYH5ufnUFVV7aMO+vUl0ZxvQhsRjurFQK3WIC8vF9XV\n1UEC1I1gcXER8/Pz6OhoT9rSk6YJdSwnooYikQbCarX4AglbkqZoAVyWwsKCwTcBSv46odfrsb6+\njtbWFgAisCzDf/YboUTpdDrYbDZe45EISAMR2GSlOsjOZDJhcnIC7e0dKdG0eL0eDA4OoaKiAsXF\nybmaEej1elit1g0dw1AwDAO73YaBgXMoKytDVpYSXq8TcrkUUil8+RYqZGam89kW8YTnzc7OYnJy\nErt27eLTuoHExdx/67Db7UhPF76/WK1WfPKTn8Srr776DuxZZATSrlZXV99tIu/LDcRmRqDzQ6oQ\nzYKVZVmYTCbk5ua+qy5Cgc0QwzC8tiFagWmz2ZCWlpa0C02qkeh7IaFvIyOTGBrSoaNjG0pKSmGx\nWDE7O4XTp4+ir+8oxseHgv6uoqIau3cfxJ49B7F9++6g6cTy8jL0eh06O7duSLRFim+324O5uTlY\nrVZs3749qWkPsX+kaQodHcnnFszMTMNoXENnZ0fQJIRhGB91wQOpVAKZTB7WgBKXGZFIjJkZLT72\nsWsBACpVJnbs2I1du/aht/cgiorCRY6hVqN+Ggz3PSfOPLW1dT4XGCakwRCerIS74nBNi1arQ1qa\nFCUlJUFTGSBYME+oZEKuN9zERASLxYq5uTm0tDTzyctC7jjksWjXEJblXL3kcrmgqJYg3gbCvzJd\nj9zc5J1pjEYjtFotOjo6UiJcNBjmsbS0hPZ2YTpaKCUq9LwIpUQZDAasrq6go6NzQ8V+aAOxsrKM\n6ekZdHZ2pCTrgSSvp6qZo2kaw8PDyMvLTQn1C+AaxMXFhYifSaKgKApDQ0MoKipCeXk5/x2Uy+U+\nqgtHieLE3JTPVY6CTCZBZqYSWVkqZGT4LWgVCgVMJhPOnz+P7u5uPt+G1Geh1wTScAQKvBMNz3u3\ngmVZ2O12qFQqwfc4PT2NH/zgB3jiiSfegb0TBk3TeOONN2C3c7Tc6elpfP3rXwcAnDlzBmNjY7jj\njjs2Mx3qcgOxmZGqBoKslLpcLt6ClazMh8JkMr1rgtOSyaOw2+3832wGhOZQRHsvLMvCYrHwoW8e\njwQzM3Ooq2tAUVERGIaBzWYLCsdZW1tBf/9xnDp1BGfOnIDVus7/TiaTY+fOXuzefRCtrdtgs7nQ\n0dGRcJozw9DweLx88b26uorl5RV0dnYmPenR6/UwGObR3d2T9Oro/PwcFhYWg/Yr1AlKLpdFbFIC\nG4jx8WE8+uhvodONY35+mn9OY2MbHnrouYT2y+l0YmhoEFu2VCE/Py9oUiEUkBaN+kJE5gAiUL2E\nA8oYhhWkfXG88ylUV9dAoZALhqMFiulDrTkDpyMikYgPXaqtrfVxhkODzvzaGELbC2xOpFIJv2Ls\n8bgxODiELVsqk87bADg3KLV6HK2tbSkRdK+urkKn06GzszPhBQshStTy8gqmp/VoaWmFQqEIokHF\nS4liWQYulxvp6ekwm82YmNCgra0t6QR3gFvUGBoaQl1dbUocpoiDk0wWvdlMBGtrRkxNpa5BJDoK\nlUrJ57QENhDRwIXnuX3UKDdPiXI6bdDpJrB9eycqKkqQkaHi792RzD8i6SiEwvNCf343NxekgYj0\nfT137hyefvpp/PKXv7zEexYZNE3jqaeewuOPP46VlRVUV1fjox/9KHp7e1FYWIjx8XGYzWbB8LtN\ngssNxGYGoUBsFKE6gHhch8xmMzIzMzdt15tIMxQNDocDIpEoJaP1ZBBIU5LJZHz2gRBomubdlNbX\nPVAociCXK/ixPrH1Y1kWVqslorc8RVEYG7uA06eP4vTpI1Crh4N+X15ehT17OKpT6HQiFMSRxONx\ng6I4lwuZLA2rq6u+tNnOhLUXoTAYDJibm0VdXR3y85Mb8S4vL/H7JZPJ+Zs3TTOQy2VIS5PFbJ5J\nA2G1WjE+Po6WllZkZmbCYJjB6dNHcfbsSbS1bQ/KmPC//gI8HncYhcyvUygLs2eMPLXgHvevTvup\nL1qtDi6XKyVcdrvdjpGRYTQ1NSM7O/68AiH7TZqmedoIKQYDmw6O8uV/vtfrAU3TEInEYdsj9K+Z\nmRnk5uaiuLg4yLlLKGHZH3ImCZmYcM2Oy+WCWj2OpqZm5OXlJV1UkWakra09JYFf6+vr0GjUaGtr\n800Pgs+LeClRpIHgHKFG0NzcnHAWhRD8mpbw83ijmJychMfjDhKxJwM/1a1VMLV+I5iY0ICiaDQ3\nN/PnDOfIRG9ookOa4rKyMuTkZPmur369hUhEQ6VSICNDiawsLpmb3Auj6S2Emgry/9CmYqPhee8E\nGIaB0+mM+B07fPgwzp8/j3vvvfcS71l8eO211/DnP/8ZMpkML774IgoKClBQUID3ve99+MxnPgOG\nYTbjou7lBmIzYyMNhJAFayQdgBDW19ehUqk2XZgay7L8Cn28zVA0OJ1OsCwLpTJ5oWWiIDQll8vF\nu13FQ1MKdFNKT1fyN+uiouIgBxbSQGRmZsV1fIzGZRw79ioOH34Rk5MjQdoJuVyBHTt60dt7EL29\nh1BevoV/jdC06LQ0mc++cBWTk5Po6OhM+vgSOlV7eztomknqhr+2ZsTExAQ6Ojh3HrfbA5FIBJlM\nlpAwkWG4xN/R0RE0NjYFOQfFotz89rc/xh//+BDKyirR3b0f3d370NnZBa1WvyF6RijdhWVZTE/P\nwGRaQ2trm+99EQpM4oJdsppcU1OTEn7u3NwcVlZW+M8gFqIdT5qmMTQ0BJVKicrKLfwERCjkjEsa\nFp66BKYuT05OorCwCJmZmWAYOmiKEqxFCc0/CWxcuObE7XZjYmICDQ0NyMnJCXMCCxThB4JlWTz4\n6E/xuY/9Y9DvEmnk4qFEOZ0OqNUa1NZyn22iqdyhIBkvWVnZKXVwWlszob09PhF7LDidTgwPD6WM\n6gZw+2gymXxaKv8+er1esCyTcAPhp2vlobKyUvA55B5CaFEMQ0Ek8oIL0QMyMtKRmZmOzEwV0tMV\n/D0mElUrXjG3UIOxGUDYCJHuN0899RTsdju+8pWvXOI9iw6apiGRSDA2Nob09HRUV1cDAAYGBrC+\nvo729vbNrIsQ/PA3V+X4d4xEXTVCi9KNWLCKxeKU6y6SQaBDlFQq5ZubZC9c0VK3LxYYhvH5jnOU\nK+ICFWkUvb6+jtnZBRgMJojFKmRnV0Aq5W4ANE1hZGQEeXn5YfaNiR6b9HQVysvr8a//+ktkZ+dg\ndPQ8P53QaEZw+vQRnD59BMA/o7KyBrt27cOOHb3Yvr0bGRlZQZ+H2WzG5OQk2trak24e1tbWoNNp\n0d7eDoUiHTabbcPbWl83Y3xcjcbGRlAU7Xvf6RvKNnG5nBgb25jtqEQiRVZWDgyGWTz33ON47rnH\nIZFI8YUv3IMPfegTCW0LCLSm5P69sLAAq9WCbdu2+QSXfhpUYEBaPIJdr9eD0dERVFRUpOQmlip7\nVcDvnqNUpqO+viHp6wEXSjiEgwcPBmUfBDcd4RbDoW5fLMvA7fbA5XJifFyNkpIS2Gw2WCwWQScw\njuoV3IhcGDuDZ0cfherpHHR17oNEIgZFcSYJW7ZsgcVigcNhD2tsok1dAo8bwPomLRqUlZUiOzsH\nbrcHoVS5xChRnP2rQqFIWfOwvLzko0Amn4ECcJ8xF963JWXNw9KSfx+FKI8bcdZSq4nNr3DzQLZL\nmgIgeFGF03G5sbLiwfy8CYDXp7egIZOJfWJuJTIy0vlwskjuRWSfgvVXkZO5A5uMS9lcxMqAWFtb\nS4nNcapBjnlLS0vQ49u3b+d/Tja08lLj8gRik4BwKGM9J7DAJqsMGz3hNoO4ODTvgAjKUjnCc7vd\n8Hq9KeE4R0PoRCgRmpLF4oVcno3MzOwQES+N4eERKJXKiJxgi8WCjIyMmMfM5XJhcPACqqurBfnj\nRuMy+vqO4fTpI+jvPwG7PXg6sXPnHvT2HsTu3QeRlZXL0yGys5Pz87dY1nmaQVZWlqCuI16sr5tx\n4cIFVFfXoLCwMKq+IRY8HjfOn78QMbE6HtEvTdNQq4fQ338cx469Cr1eg0cffRWVldWCrxfvCibh\n2sfidUdfnRbxFJfR0THk5eWhuroKiUwthLBRe9VIx3Nqagoul8uXt5Gsew63cp6ZmcWvACYD0owU\nFxfHDGLzh5uRSQmFr/3sY1BfMYzGE+340Z0Pwe12Y2xsDPn5+SgoyBcUzPspYOFpzoBfME8KFr1e\nz694hqbK+0W4/sZBLBb5tCpS3ueepC5LJGLodLqU2r8SXUaq7HjJZ5ydnZ2S1HQg9j5yYmlRQgLt\nVJ7XQuDyJzw8Jcov5qahUKQhIyMd2dkcJYo0KJGm46HZFUJi7mi0qFSC5GtEoiT/8Ic/xJVXXolr\nrrkmpa97MUAahhdeeAFdXV0oLS0FRVGbjhWCyxOIzY1IXzKhAjsrKyslqzTEjemdQCJ5B8niYr/P\nRCdCQjQlodA3hmHw9tvnsLZmRE1NDaamJoNyBYj41Ol0wuPxQCZLExSyisVieDweDA8Po6KiQrB5\nYFkWWVm5OHjweuzffx0kEhHU6hH09x9HX99RaDQjOHXqDZw69QYAoKioDL29BwF4sG1b94a1D3a7\nDWNjY2hsbOIbBu4ciP/zIlqZ9fV1jIwMo6GhEaWlpUmdSxRFYXh4BCUlxUklCEskErS2boNMloHu\n7qtQWVmGrKxw62SGYfCRj1yF4uIydHfvQ0/PfjQ2ClM5zGYzdDptXOFaoVMLArI6TVE0xsbUUKlU\nKCsr45OXQ4Xc5P9km5FgsaxjYmICLS0tKSkGZ2dnfPalyQeTEbF5qlbOGYbG+PgY8vLy40pxDgw3\nS0sDjp58BdMVU4AImKmYwrD6DPKzKtDQ0LDh/QudooyPj6OqqhplZWWQy2VhdC7yfI+HCmpUOEot\nwwehEYvilZUV2Gw21NbWoL//DN9UkFT5UPpXuGDer0kRi0X8dKS5uRlSaRo/pdko/OF48pQ1D3a7\nHRqNGs3NzSk5pwHwjnWx0tOTAWn6hPaZorxwONwwm12gKAvEYhoM44VIRCM9Xc5b0IbqLch9JxCh\njQWpWYTE3KFTi41eo6P9nclkQn5+8oL+SwGGYSCRSPCLX/wCd9xxBz7xiU/wzQOpWTbzROLyBGKT\ngGEY3wqc/9+BFJiLUWA7HA4AuGTaAFLokYlArBX6VMHr9cLpdG5oRTsaQj+jWG5K6+vrmJkxYGHB\n7KMp5fE0JaHnazRquFwulJSU+ASTtOCqo9Vqg0zGbYeiaAGXHRozM7PIyclBSUlJUIMhEoFfkfa/\nB1lQAyKVSmA2r+HcudM4c+Y4zp49BZfLwe+rQpGOnTv3YPfug+jtPYiyssjj+EAQJ6KamloUFhYG\nvfd4dB3cd8YDj8cLr9cLjUaDqqqqpAWd3NRnGBkZmaipqYHX6xXcj3h5z9PT07BY1tHa2hax8Z+b\n0+MTn7gBFOW/BmRn56K7ez++/e2f8K9PLDNTIYSN5N5EVsqJSDeWzSjRXTidDoyMjGw4+Ct0ArG4\nuAiDYT5l2QyTk5Nwu90pWfHlAhPHIJVKN0SrYlkWX7rvQxjtPc+t7bFAzRuN+ObHfobGxsSC4iKB\nBMU1NTXxafbJYHl5CdPTM3wuS2j2SWDeSaDwn1DrAp27uAUkFzSaCRQXFyMjIyNIMB8p6ySWYH5+\n3gC32+1rSKS8YD5UkxLv8XW73RgcHERtbW3UotTjcUMslsR1L1tZWcH09HTKbHRTCWLLTTQXNO2F\nSESBZb0QixlkZCiRmcn9p1Sm881FNL1F6NQiVG+RqJjbr8UTPnaf/vSn8bOf/QxbtqTGAvhiggim\nW1tbUVpaCrlcjve85z344Ac/uNn2//IEYjODrJKHug6RpOiLAS4oa+POT/EiVZqNjSKVEwihJija\nREiIplRQUBPzBjY1NQW32xNXDoLNZkN6ukIw7ZmmKQwNDaOnpwxVVVt4kSnJn+AmQJwYNDCDwOn0\nBK1WUhSNqqoWeL1pOHDg/2B9fQWjowMYH78Ag2EaJ0++jpMnXwcAFBdXoL19Jzo7u9DcvBVyuSJM\nlErTFDSaCZSXl0MikWB93RxUGFAU5VuNFEoapeF2e+D1eiGVSiGTpWFiQhPkTrVRMAyDsbExKBQK\n1NTURH0ud15F3978/DzW1oxob4/O7a6oqMYLL5zBwEA/+vuPo7//OBYX57C4OM+fK06nA+PjY2ho\naEiJi45OpwVFUT4qiv98JCvlAIL2mXyHAhsKUji6XC6MjY1iy5YqZGSoQFFUGDUmERiNRszOzqK9\nvT0lzcPMzDQcDjva2pKfZADc95NhWNTX10edHgsJpAHg2Km/Qluq9t+WRcB81TQWVnVoampOev9m\nZ2dhsXAr3ABxa9o4zGYzpqenI9q/hjYLoT+H6nBIk75v3z6Ul5eHbSvUzSuWYJ6iKMzOLmB1dRV1\ndbVYXl6KKqIXFswHZ52wLBdAWVhYCIfDzttuBz6P/Efu1yzLRhTMA5xxiU6nRVtb8uGMFwOc0YRc\ncN/Igs3qqgcGgxksuwqAy7eQSoHMTC7bIitLyVORyQJhJFpUYEMRTW8R2GTEo4HYxGLkIJDjcttt\nt+HGG2+EWq3G2NgYfvWrX6G+vh579uxBW1vbO7yXkXG5gdgkIG4vRDCVkZFx0UdXF5vaE5jdwI1S\nIwuJLyZS8T5DmyCFQhG1CXI6nVhcXI5JUxKCXq+HzWZDR0d7zOYBAEQiCBayXDE8DqVSiYaGBt+F\nl6MqcCJ1ZVxWpgBH6RkcHMTevXsDVkY+BZZlsbKygFOnjqKv7xjOnj2JpaU5LC3N4fXX/wy5XIGO\njp3Yvr0XW7f2ID+/EA6HC2q1mneXMRgMfJNCbvQ2m41fYSI3d24/uIZXE+GGNQAAIABJREFUofA7\nc+l0OmRlZYOmKczOzkYIRwv/mZvA+M9FlmUxMaGBSCTiV5WTOW+Wl5ewsLDgW0GPzY1WKjOwd+9V\n2Lv3KrAsi7k5Pe+S5fG4MTIyiqqqKuTm5uHs2ZP43/99DN3d+9DdvR+lpYmJBmdnZ2C1JkYNIscq\nlBLl9Xqh02lRVVWNkpKSoAlYuP1scCEZqciamppEa2tbSqyXFxa4wrKjIzUC3dnZGdjt9pjH7tip\nv+K58cfRdLoDB/dcF/S7oYmzaDK3AwMiuN0ueL0UVColhibexsG91ye1fysry1haWuIFyckuEhEK\nT1NTc8TsCO5zFEEiQdgxDp1oURSF0dERpKcrkZeXC5fLFTbRIlSZeCUFq6urkEqluOaaa+LS9IVq\nSEKbFIqioFarkZeXj5KSUrAsFzoZ3tgwfANNTuVIgnmv1wubzYYdO3amxOb3UoOjGisE6arE3ntp\nyYO5uVUANFjWC05vIQ1I5vZTooiYW+g7KTS1CGwuiDEKaS7UajXq6uqQnp4Ot9u9aTKf4kVXVxf/\n39GjR/HAAw/gJz/5CTo7O3HLLbfg29/+9qakMl2mMG0ikMCzS3WikFXoVPljA37Nhtvt5oN1ork+\nXAqQ5mwjtIrQJiiacD2UpiSRZCArKzciTUkIc3NzWF5eQkdHZ9yCPIfDjrQ0WdDzOYrFOACOnkJR\n3iSsTP2Untra2qjPpSgvhobOoa+Pc3aanBwP+n1VVR3q69vQ3b0f11773oircEQYzrnIuOFyOUFR\nNKRS7obDMKwv42IMaWlp2LKlMmxiIrSKGboqSaYvIpEYS0tL8HjcqKurR1qalE9lZhg2bOVRKuX2\nAQBvnRw4ZVlfX4dWO5USYWho6i0A/Pzn38ef/vQo/5wtW2rR3b0P1177fjQ2Rl+xSiU1KB5Rcqh4\nO1DQHai1oGkGTqcDGs0EmpqaEna9EkKqU6bjPXaBFKXW09vw6289Jfh9W1pawtzcHDo7hbcXbYoh\nBCGxb7whZ0IgFJ5UWfsSRy0AaGxsACCK69yI5hJlsaxjfDx1+RuAcNZDNLhcLl6DRt5noGCeWCTX\n1taGTVz+1kFRnAU4l8HjBUDxegulUu4Tc6ugVKYHibkj3WOdTic/yWYYBiaTCddffz3m5uZQWFgI\nmUyG6667Dk1NTWhoaEBjYyOqqqo2ozAZAHfuHDhwADfffDPOnDmDtbU1DA8Pw+12o7iY0+CdPn36\nnd7NyzkQmx2E23epQFEU7HZ7QoFRkRAaZEdEV5uha2ZZFiaTCXl58dn5JRpgR2hKWu08rFZK0E0p\nHiwsLGBubo4PPosXoQ0Et5I+AZfLhfr6Ol/hLYVMJku4QeWmGKNIS5OhoSFxrvfKyiLv7HTmzJtw\nOPz2rOnpyiBnp8BVdItlHTKZHB6PBxKJGDKZPMhClvD3GYbxhU4lfp6RmzxF0ZiZmcHy8jK/LdJk\nkPA5P2XH35iQNGuyykv+xmazYnp6BpWVlVCpVBHCzCKLTYOzA0RQqzXIzs5CdXUNzwtfXV3GW2+d\n8GlSTsJu547rN75xH2688daI7zmVBTXLMr4Gjjs3Ev/7YNoLl30wgqoqLp07HvvZaEh1yjSXaDyF\n9vaOmJORoydfwY/U34CrxgmFNh3fbPlx2BTC71YVeXtHT76C+/9yD+6+6d/C/j4UNptNMChuoyFn\nXOM6GJfDVLwgwYLt7W1RpzfxUqI46twYGhuJ7iZ5159IWQ/RENpABIIswOTmJp798rcMorcgmgua\n9ofnicU0lEoFsrJUvpyLDP7+7XA4BBclvV4v9Ho9vvjFL+L222+HRqOBRqPBxMQEFhcXUV1djRMn\nTgTp7eKFyWTCpz/9abz22msoLCzEfffdh4985CMpOQ4LCwtBTWVGRga++tWvYvv27WhpaQmzfX2H\ncLmB2Oy41A0ETdOwWq1JrfQRPYDH40k4yO5SgTQQubm5UfeLBNi53W6epiS0EsKyLB544AHs3r0b\nRUUlmJ5eCgp92whIiFpn59aECzuHw8E3CCzLYnJyEmtrRjQ2NiE9PT3ijS0WUlGkB25reHgYk5Oj\nMBi06Os7hqmp4OlEdXU9du8+gJ0796KpqQNKpdJ3owhfOZqcnITT6URbW1vSWhqDwQCDwYDOzs6w\nZFcyURN670Iru3a7HaOjI2hoaER2dlZUmkRwEnMwx5tsW6vVQiwWo6ysNIBeQfsoEkS7wmJuTovx\n8UEcOHAD8vLygxoTsViCY8deQlqaAipVLrZu3Y7MzMwwN6/A6Uo8tKaJCQ28Xm9KUoO9Xi8GBs6h\ntLQUlZVbQqYWwvazgbSX0JVpEsQWGv63UZBV7ngSjYUE0qFTCCKGb2lpQWamsLlDvFMMAEEr3KFi\n3400ECzLYHh4BBkZGTG1QPHCYJjH0hI3XU1mNZicD263B0NDgygrK0dBQYGgyD8WXS4UsSZCkeB0\nOqFQyMO+B2QSLJVK0NDQmNgb/TsGdy92YXV1CRKJB42N5aiv56bfdrsd6enpgtd9t9uNW2+9FUeO\nHAl63OVyYWpqCi0tLRu6X5Bm4eGHH8a5c+dw44034vTp0ykp7gcHB3HjjTfi17/+NcbHxzE4OIid\nO3di//79aGtre0dt9gNwuYHY7Ajk+F0KbJTaQ/QAbrcbDMPETFfeDDCZTMjOzhbcx1CakkKhiBhg\nx7Is+vr6cOjQIQBATk4eensPYu/eq9HdfQUyMhJ3egpMTY7EMY4Gp9Ppu0mKoNXqsLZmxLZt25Ce\nrkyq6E9lkT4xMeFzwGnlt7W8vIC+vmM4deoIzp59Ew6HnX++QpGOXbv2orf3EHbvPoiSEv8KzfS0\nHiaTGR0d7YLNRSLgBO7aiI1bIg1EKpOcuUZwAhRF+WgU4cdfmJ4VGmBGw+Px4vOffx+cTi6QrL6+\nBa2tO9DSsg2lpVv4bQVOVziHFEnE6cnS0hKcTgcaG5uQliYVnJ6E/k2gq0541skwlEoVqqqqolL3\nAlemAxsLsjINiOD1ejAyMorq6moUFxclNLUQgsNhT8hdKnD6QBA4hYg3ITmeKQYAPqW+tLQUpaVl\nYb/n3JIoPPLkf8ZFhQqmGTWmZDGITL46OztTUhD5E5yDV/XjocsR17DQxtNkMmFyciKuCVMonE4H\nFApF2PdUp9PCbnekLDPj7wEcFXgNXq8FFRV5qK6uCHKKtNlsUKlUguelwWDAt771LTz77LMp2x+H\nw4Hc3FyMjo6irq4OAPDxj38cFRUVuO+++5Le/uzsLIaHh3H99ddDp9PhZz/7GX73u98hLy8PV199\nNT71qU/h4MGDSb9OkrjswnQZwSAi0XjTDxOxLd1sCBXECtGUorkpURSF1dVVaLXzUKsNuPHGW32C\nYQNefvlPePnlP6G9fQcefPBPCe3X+roZExMTaG0VdjeJBX9aKEejsljW0dXVlbTDR7CQO7kbn16v\nh91uD9tWYWEJrrvu/bjyypt8NqzDOHv2TX46ceLEYZw4cRgAUFPTgN7eQ6ivb0NubhF27OhKunkw\nmUy8TiFZOg9Jcq6srEwJV1yv18PlckctPLhiXBJTK2MyGXHgwA3Q69WYmBiBRjMMjWYYL730BF54\n4SwUivBiibiihFoGMwwLg2EeLMugo6OT1y5wK8Je0LQzaLoSSvsKnJ4QW865uXnIZDKUlZVifJyj\nRMVD+yITFH9jIgJF0T53rzLk5+fB4/EKrkzHm7rs8bgxOjqG6urquBdaAgXSAUcUQ5qz2LvrSoyO\ncm5V0ZoHlmXx5NHfwdXLNSGuGieePPI7HOi9Nqz5Gh8fQ35+gWDzQLb15pnXIgq6Q6HX6+H1esPc\nuTYKi8Uvik9F88BNRkmCczAlKFbuSaS0drvdAbWay3rgUt1pXhge/zEIfp7BMA+zef2iZj38LYFr\nHEzwetdRXp6D6uqOME1LLIaG0WhMuQOTRqOBVCrlmwcA2Lp1K44fP57UdokIfHh4GN/4xjfw2GOP\nQa1Ww2DgrIgXFhbwpz/9CZmZmTh48CBomn5HtaRCuNxAbCK8E+5EpLCOZkWYSKG9WRHYLIXSlKI5\nXjmdTiwsLEGnWwBFyZCRkYutW8uxdetesCwLrVaNU6eO4NSpI9i9+4DgNtbXTVAo0sPcK6xWK8bH\nx9HU1JywkJ2mKZ6DLxaLYTabYTQa0dm5NenmYW5uDmtrRnR0dCZdpAtti2EYn6jOA6mUa0RVKhV6\nevahp2cf7rzzm9BqJ3DhQj/OnDmBt946CZ1uAjrdBABOO9HVxU0nensPorhYuHCKBovFAo1GjZaW\nFqhUyfHjKYrCyMgoCgsLkwqdI5ibm4PZbI7LwjcWPB43tFo9Pv3pr6K4uBhWqwXnzp1Cf/8J0LRX\nsHlwOGzQajVobg7X4qysLMPhcGLPnr1JFYOkydBoJlBdXYW6ujp4PF4wDA2xWBJm0+n1eoMamkAH\nHNKYUBTHgVYo0kFRFJaWlkLsNoNpLWRFmjjBpKWl+VKXOT9/QuErKipGdnY2aJoOm54I4cuf/I7g\n42TVvKioEMXF4WGOgRCyedWWqHHs9F/5BoCEpikUiqie8SzL4qljj8BxtV2wCQkEV/SaU1b0Op1c\nYd7Y2JQSHQrAWeiyLFBXF93QIRDRXKJcLhe02ik0NNQjKyvLdz4J554IUaKEitrV1VU8+Oi/456v\n/nDTinc3C1iWhcVihsezjrKyLFRXt8c8VyKdv2traykPkbPZbGE60ezsbFit1qS2S84brVaLkZER\njIyMAAD279+PW2+9lbdx3bp1K4Dw83Yz4PKZ/XeOSFaVgYU2gEtmLXsx4XQ6+Zh4pVIZlaYUHPqW\ngezsijA3JZFIhLq6ZtTVNeNjH/tixNWR3//+V/jf/33MV/QexJ49VyIrK8fHlW+Im6NN6DT+IB1O\n3L24uIjp6Rns3Lkz6ZX0xcVFLCwsYOvW+F2g4t1WYNOTlpaGjAxVxAK5uLgU733vh/H+998Br9eD\nN998A4cP/wU63Tj0+gmcOPEaTpx4DQBQU9OIPXsOYffuA+js7IrJXXY47BgbG40rT4GsxEfiUTMM\njYmJCWRnZ6VEILm0tOTjibcnXXhwdpljKCoq4gvWzMwsHDhwHQ4ciLwK/dZbb+J73/syMjKy0NW1\nF93d+7Br1xVIS1NAr9fH5OXG4xwkFkswMzMLhqGxdetWiMUSeL0eAKINnXck2K2rqwv19fWCgYuh\nGpNAoTzRchEveoqioNNpIZNxvPbl5WWeEhMqfhfKEwicnpACVKvV+RYsMrG+vh5G6yJ/D0SfYpAG\nQqfTgmEY1NdHD5470f8qdKUTgk1IIFZXVzE/z2mBIp17ibhCcVO5MVRVVaVEhwJwdI94LHTjBXFy\nq6ioQFFReFMXSonizpdwShRAVpRFsFqteO6lP6Bv/XX0nXtPzInP3yu4wNB1uN1mlJRkoqYmPn1R\nrAyIVDcQGRkZsFgsQY9ZLJaUuVcuLS2hq6sL3/nOd1BUVISSkpKIjnabDZcbiE2Ed6I4D20gaJqG\ny+XyrQ5HL7Q3OwKnJ2T1MB6a0tTUHGw2Ou7QN4JIzcjKygLcbldA2Np3UVpaibvu+hfk5cW+2JEA\nH7ebcyQi4TwikQhmsxlarRbNzc1JJ4qvrKxgZmYaHR2JuUBF21Z7O7eSabfbQNOMr+nJSIgW5XA4\noFTm4J577kNmZiaWlgw4ffoo+vqO4uzZk9DpNNDpNHj88f8fSqUKXV17+VTs0OmE2+3C8PAIampq\noh57huG0Ax6PJ+A7wnHsyWo2xxWfgFwuT8kFf23NyB+zZI8/yzIYHx/3NTbxJYMTUBSFiopqzM3p\ncfToyzh69GUAwKFD78U//MM/x6TaRcs/IDAY5mEyraG9PfkpCxAa7CaGVCrGRm9vZPLQ0dHJ56cE\n8ulJyCH3OBDqEkQKzcCQM612Cl4vhfz8fCwsGCJaDhPtye62a7BHfH2QqJ00JpOTk1hZWYbFYkVT\nUxMWFhYEGhousVkkEuHJIw/DfUV0KhSxHW5ra4/aHMbz2QLcfYRrXgsFC/ONIDTfIhEwDIMv3f0h\n/Pr+p/hrD/mO5ORkR3SZio8SxeVsUBQFh8OBoaEhnJ56Hc6r7fjjGw9h766reEe1VLhE/S3Aal2H\n02lCcXEGamtbkJUVn3YwVgNhNBo35LIUDY2NjaAoClNTUzyN6cKFC0kHvJHzsL6+Hv/yL/+CG264\nIej3m5GyFIrLIupNBCLKvJSwWq283SoptEmK5GYWRUcDmZ5w4T5cMB9JjRa6OYbSlDIz8wSpHclg\nZWUJfX1HcfLk6+jrOwaPx4177/0NCgpK+Bs/EaCSVUkA/Mop+UxkMhm/Wul0ujA+Po7GxgZkZGQm\n1UCsra3x/vHJUnpMJhM0GjUaGhp5jUyi2RPEmtbtdmNkZBhNTc2Cq5herwcXLpz15U4chU6nCfp9\nbW2Tzyb2AJqbOzE2No6ystKIBUPolEQmSwNNM0FNBCkUJyY0cLlcaGpqDrMajZdjT0AsR+Nx+YkF\n4vwiFouTEsEaDDM4c+YETp8+inPnTuPLX/4Obr75w2HPc7mc/PclHueglZUV6PX6MEHtRicQMzPT\nMJvNaGtrT8kNN5bwNfQ8CAxJCw7N484FLrTPGpctKAnQomkq4vRkeXkZ8/NzqK+vh1QqDXHz8jcu\nNM3g3PBJ/MH5G3jr3fxrpE3I8ZH0L2BH+x6IxRJ4PB5MT0/7JgXZAtbC/p+/9evPQbNvGE1vtuOB\nrz8KqTQtbHpC7H1lMjnq6+uT/jwA7vuh0agjJmHHwq8e/hGeGnkYH2r/NO781DcBJJ71EAksy8Dl\n4gw4hoYGMb2gxm8W/w3uWifk2nTc3fhD7N31npS4RL3bYbVa4HSuoahIhbq6LXE3DgQURcHr9UYU\nuf/4xz9GT08PbrrpplTsLo/bb78dIpEIDz30EAYGBnDTTTfh1KlTKXFh4qzKSb4Rs1nrrssuTJsd\nJG3xUr6e1WoFwzCQSCSQy+WbJrthIwidngS6KZGQPkLxEaYp5V1UvipxS8nJycba2jJaW7cG0Sko\niobH48EPf/gPqK1tRlvbDlRXN0IqlfBUGvJ8h8OOyckplJaWQi6X+S6qyjB6hVAKc6DoVCKRwG53\nQKvVoqmpCbm5uWHUikQuaGazGYODg6irq0Vubi5kMvmGbH0dDjsoisbY2Cjq6+uRnx+fMG5xcZ5v\nJs6ePQmn08H/TqFIR0dHF6688gb09h5EUVEpAP+kiuQ9yGRpfEI3+V0o9Ho9zGYzGhsbeOveUPeX\nQGegQA5+aMFALEebmppTkskyOTnpc7xK3l7V43FjcHAIpaXFKCwsEpyM3HPPZzEzo0N3934os5V4\nhvkfuGuFnYPMZjM0GjXa29vDCsHABiJeqszCwgIWFgwpCcUDOP3J6uoq2ts3RiELpbwYDAtYWFhA\na2sL0tJkMe1nY0EoKC4a/vORH0CzOgL4nIcAFizDoi63BZ+//R/hdDoxNDSM8vJy5ObmBjUuocGL\nZ84fwyPr/wFPnRuySTluV96JjqZd/PWLWx3mHLoYhkZ1dTWkUmmQED4e2heZnoQulDQ3b+z7wTAM\nrv+/2+G6xQHFM0q8/MsBzM3NYn193ecwl1zTyWXCuDE5OYXMzEzc//g/RbTwTcYl6t0Mm80Kp3MN\nBQVK1NVVbvg6R7RQkai63/zmN3HHHXdg9+7dyexuGAJzIAoKCnD//ffjtttuS+lrbHJcbiA2Oy5F\nA0EKUZfLxdtTymSypOkv7xTiTb52OBwQibjihIS+EZrSRkLfEgVNUxgaGkZOTo4g3YXQlC5cOIu7\n7rqDfzw/vxC9vYdwxRVXY//+awBwor/BwQuorq5BUVGRTxfhhkKhCMsWCP2ZiE/JTd9ms/lca8qR\nkaEKyyugaSrIMcfP7Q5uUACuEJ6cnER9fT2Ki4sglaZFbGgCpyxCMJvNGB0dRW1traAwmWVZ/PaR\n+/GFT94d8bPjit+zOHXqCI4d+ysWFmaDfl9X14Tu7n3Yvn0P2tu3Q6lUhU1JhBqI+fl5LC8vobW1\njRfiRwIpDsgKdXCeAeB2ezA2Nsp/lskWDKlcjScJ2IWFhaioqBB8DsMw+NCHDmBlZZF7oALAZyBY\nPJHsg9CgM4LABiKeALVUp0wvLy9hZmYWnZ3JU8hC94+btES3n43WZAKRg+JiweNxQyyWhDVEFEVh\neHgYBQUFET9fgniyLViWxfT0NFZXV/lVfaH0d9KkBFK9ItkQc/79WhQUFPDTkdAFkXA3rmDa12PP\n/hovpj0JNAJQA9e5PogD3e9FR0enL7dInFQTQXQUMpkMhlUt/k19d0QL32jHN1pwnvD5sfmbC7vd\nCodjDXl5CtTXb0laC+PX/wl/Pz//+c/j+9//fsomX5cSgfSseJ0xLyEu27hudlzME4ZkN7hcLv4L\nqFQq4XK5LtprXkyE0pRiuSm5XC4sLCxhcdHsoynlo7AwtTSlSGAYGiMjo8jIyAhrHkii8U9+8jAM\nBq5fr6n5HCwWE9bXzTAaJ/Hii0/BYJjF/v3XwONxY2hoCBUVlSgqKgLgP28kEmlCrknc6uMgDh48\nGJU3GthwBE9MOLqPy+WEw+HEzMw06upqkZ2dDbvdIdC4hBcTQonMLAuMj4+jqKgINpsNWq02oGDg\nmpjTbx/FM6OPYsvhehzovU5waiKTybFz5x4olbm45ppbkJ2t8qVic9OJqSk1pqbU+OMf/wsqVSZ2\n7fJrJwoLhd2UlpeXsLCwgM7ODkilUng80Rt+wqHmPh9/kUK+jxMTE6is3IKCgvwgW8l4CspQLCwY\nsLq66nO8Sn5VdWxsDDk5OVGLS7FYjCefPIrx8UE8+dx/43jeK2BFvnWnANFuz/YDGB8fQ319fVzC\n9SeP/i6qa9D6ut8aNBXNg8lkwvT0NNrb21PSPARal/r3j3MBCkVokynkAkTsZOvqapGZmZl0gUH4\n/1lZmTGbByA+V6iVlWUYjUafaULy0yDS4Bw6dAgVFRWCDUegG1fo9ITTv3nx2vCfgQ/5NtoIHH7i\neRzovtkXkkn7KF9sgM5EOMskXGPCXW9WVlbg9XrQ3t6GV08/HVP8LoRoLlHxnB+bjRLlcNhgt68h\nJ0eGtrb48lPiQTwaiFTbuF4qBL6vTdY8RMTlBuJvHKEhaenp6UGrrGKxGDRNv8N7GT8CaUppaWlQ\nqVRxuSlNTy8DSEdxceUltdVjGO5GLZfLeAEWWdX2ej2gKBoymQyLiyIMDv447O+bmr6CQ4cUKC+v\n4m+oJSUlKCvjxMFTU+NYWjKguXlrQtoFj8eN4eFhbNlSFVN05qcxpfHvyev1wOPxQqFQIDs7C6Oj\nY9i1q5vfr3jA8b2DGwy324ORkRFUV1ejoqICEomELxK4oEWuMHjm+CNwXm3HHw4/iNL8Wv7GGjo1\nMRgMYBgGtbU1cDqdqKpqQWVlMz784S9helqDkZFzuHChH/Pz0zh69BUcPfoKAKCmpgG7du1Dd/c+\nNDd3QKFIh9lshl6vR0cHt0JNhLQbAU1zBXpJSXFYARe9YBBOYV5dNWJubt5H5UnOPYvYg8rlsrjE\n4RKJBG1t21H41l/QudYF6i0KLpfTF6rI4sL4GWTKC7FlSxUAFnfeeRu6u/ehu3s/mprCc0YCi1Uh\n1yC73Q61mrM/jmX3GA8Vymq1YmJCg+bm5g0nyQfC4bAnZF0arckEWHg8XqjVapSXlyErKxsulxvJ\nrEqzLIuJiQlIJBLU1MRnhRrLFcpsNvMNWCqaB6EGh4jjE7l+/+rhH8G93RXU+FA7vBhQH+O1ENzr\nsYKidnI9EZqeuN0eLC0twWq1Ys+ePRCJxBEtfJNBpPOD7Hc8LlGXihLlcNhhtxuRnS1FV1cdcnNz\nU/pasRoIu92eMnekS40f//jH+PrXvw6JRIK//OUvuOGGGzZ9I3G5gdhESNXJIkTrieQ+FMnGdTNB\n6P1ESpUGuJWrYJpSDgoKakDT9CVtHrgbNSfqbWhoBMAV7m63h6eO+dOihT/79HQlPv7xL4KmueYh\nNzcvyFXn2Wf/B8899wfI5Vxy8549h9DbeyhqNoLX68Xw8DBKS0sTyi0gBb7X6/U5dKWDZYHBwcGg\npiZeiEQi39SEbJ+BVqtDSUmJr3kQC64Gv/HmSzDUTAMiYKFmFuvORRzaG+xgwW1LC4lEgvr6er7h\n8U85WJSUFGPXritA0xQWFw0YGOjD4GA/RkfP87kTTz31MBSKdNTUtCA/vxS7du0DTTP8SiRN01Aq\n04PEpqGrlcG2ntybnZycgEqlQlFRMSiK4kWq5LhEKih/8pPfYXaWm1JMaEdRX9MCiqKgVK7jO9/5\nAkQiLok53qmFEDhHIwbNzdHtQUMhVDzRNI2hoSHk5+ehuLgYf/3rcxgePofh4XN4+OGfIzs7F11d\ne3HllTeip2c/P32IFKDmdrsxOjqKmprauHjUsVyDnE5n3JOReBAYPJcsXYOjADHQaNQoLi4OS1wO\npLlEW5XmTADEfPE1MzMDt9uTUFBctMKYo0GqU9aAAZyOJ5EGJxLOjZ+GypsBdhygGc6JTwwRzqWd\nDnoedy0ieSDxbdtkWsPq6gp6e3uRlvbOlFIbDc5LNSXK6XTAZjMiO1uCnTtrkZeXd9GK32iZVQAi\n1gWbGRRF4bXXXsM3vvEN0DSNBx54ADfeeOM7vVsxcbmB2GRIpqAnAV3x0nqSfb2LjUTfT7ibkp+m\nxImvLq3DlVY7Bbfbg5aWlqDgtPT09ISExQzDYHR0DEqlCjU1NUG/q6qqQ0NDKyYmRvHmm4fx5ptc\ncvOPfvRbQa9/mqYwMjKCvLz8uKgLRDPj8bj5aUlGBmfDylGzOF1HolahofjRjx6EWs0F8yiVSjAM\nA5EIqKpKwz33fC5of/74+oNw7fYXmH84/CAO7rk+6HgaDAYYjatobGziJ1XRXKCqqqrR07MHAGf1\neuHCW7xV7PT0FMbGzgEA3nzzL6ira8auXVdg5849qK5uhFKZHua2RNdJAAAgAElEQVSC46dvcceO\nPE7TNPR6PRiGQXl5GQYHB/mVTQCCovfApmRy0gG1+hf8fg8Ncf9vavoqAG4FkPC5yWojoXbFsxI5\nMzMNh8OOtrbkffaJG09WViZf/F5xxVXYf+21yJbl4q233sTi4hxef/1FqFSZ6OnZjxP9r0akyuzd\ndRVGR0dQXl4Wl1VjLCoUl1PApULHY6ccCyRQsKSkBIWFRUlvj9jJckFxVUG/i4fy4tfasL6sCy+W\nlpb5nBFuJR1JrUq73W6MjY2hri41DRjAnYNOp9OX9ZBcEfq7Hz/Pa3mKi4siuq8BiWVccFOrCbS0\ntPD6ls2EjVGiuKYjEUoUaRwyM8XYubPmojYOZN9jbX+zr9oLwWq18s5S6+vrYQncmxWXG4i/AZAQ\npHhoPaHgCkHmEuxl/EiUpmQ2mzE7uxDgphROU7rUjZJer4fJZEZjYyOcTqev8I4cnBYN4+PjSEtL\nExSG3XbbZ3DrrZ+CXj+F4eG3cerUGzh79hQ6OrrCnsswDAYGBpCdLSzkDoRQaJ1/WuJvarjV+Zqo\n24oHGo0NGs0vwh4Xie4J+veRky9jqiS4wJwqVuPoqZdxaO8NYBgGc3Nz0Om06OjoRGZmZsIuUHK5\nwkex2YfPfe4fcfjwX7G6Oofh4bcxMNCHqalxTE2N44knOO1EV9de9PTsR0/PfhQWRve8n5ycRHV1\ntaBDEqEgRBO9R1pdYxgaBsNCGE+couiAIDxRWCNBEphJmrnJtIaWlhYsLy8JuuYICVWFQDIypFJp\n0CryW+dP4qztTdx907/h61//PmZndThz5gSamzsBAMMT54KoMuvra6C8XvS5jiA/swx5eflRi8BA\nRKNCBeYUxEqFJu8nWnEZmCkQT2MeD7RaLUi2RSIIXZWmaQaPPPEL3HLTp7GysszTjLiMCiai/Wys\nCRYXVMg1dKkK71paWvLpeFKTDxJP1gNBvBkXLhfnClVfX4/MzCxe/P9uQSKUKIYRpkS53W7Y7SZk\nZoqxfXsVCgoKLknhHq2BIFlP70aYTCZeGG4ymSCTcTTATSimDsLlBmKTId5Cl4gw3W43GIaJSetJ\n9vUuNkjBGphFsRGaUqQvm0gEXIq3ybIsdDodDAYDWltboVDIefvGjcDpdPjoJJG9ykUiEQoKinDz\nzR/GzTd/GBTlDUvNZlkWw8NDuPvuT6K2lktu3rPnSjQ2tgVtN1poXeC2NBoNxGIxGhoakr7A6fX6\nuHU4g+qzaF7vAM4Hc7EvjL+F3TsOYXl5CdPTM9ixY2fSXFiiE9m2bSeKi2/gKTSDg2fQ338cfX3H\nMDurw7Fjr+DYMU47UV/fgp6eA9i9+wBaW7cFNbKxVvfjCUCLJPBVKlVob28X/B0pCkIF7cQ2+Fs/\n+iy+8qnvw2g0oq6uFh6PFy6XO2CVkkZoSFpo8Fmoy9bi4gI8Hi/q6+uh02l54emjr/4ajqvteOzV\n36K9sQtZWXm45pr/A4lECqfTif/vtq8HZdB87Wsfx8BAH+YwjYHjZ3DFFVejp2c/tm7tjpmGHYkK\nBXA5GSqVKu708GjFJWmW0tLSUF2dfDMNcInLNpstJYnLJ/pexXOaP0D6Ujo+/IFPCa5uhheOdFQu\nPQCMjY0iJyc37oYuFkwmEx+kyDU48U8EIoFoPWJ9LvEI9wHiuDSK8vKylEytNhtiUaKcTicsllUo\nFAxaW0v5iYPD4QhyxOIWK8S+7V0aDYTJZEJeXl7KXutSgLwfk8nEO2GaTCb+O3q5gbiMlIJhGLhc\nLrjdbj7XIJGArlC80w0EwzC8yJvQlKJlUTgcDiwsLEGvX0zITeliv09Ct5qdncXi4iJ27OBsQeP9\nXLZskQAIXm13uZzIz/egtbUlrsaQXGyEmoeJiQnMz+tBUV6MjAxgZGQADz307ygoKMLBgzfgrru+\nG6RvUKmUER2dpqam4PV60dbWlvTFbW5uDkbjatwj27s+872g9xVIr7JaLTAYFrBjx464xKvRwAnW\nR1BSUoKSkhL+3JHL5di1ax927dqHO+/8FnS6CVy4cAb9/cdw7lwfJifHMDk5hscf/y0yMrL46UR1\ndSNcLm8KHJIincORz21/URDO7/7Vwz/CpGQMz7z037jnK/dBpVKF8acjB6X5cgX4RGauQZmdnfFl\nbnRCLBbxTUvfuaOYqdQCImC6fBJ/PfIctrX28n9HFkMA8Fz+hoYOWK02zMxMYHFxDs888wieeeYR\n3HPPT/DkS7/Dd+/6D6SlSX3Nl19n0nfuCKZKxoMnVSVqHDv1MsoK6yAWi3lTg5hHPEZxqdfrfN+H\n+DUF0bC8vITl5eUNJS6HgmVZPHXsv+G82o7+E2/gM6r/K/i8RLj0Xq8XGo0aAFBSUgK3252QW5gQ\nbDYbJiY0aGlp4akc8U4EImFmZhputzuu61Qs4T4QOM0Ibpq4JvrdufIdLzweDyyWFSiVLHbs4Iw3\n/InebIAI3T81JY+HNhWB/04U0Qpqo9H4rmsgCNbW1vhQvcCfNzsuNxCbDJFoOpwlnQsURUEmkyEz\nMzMlgmBSWF/qTjeUdpWRkRHx/RCa0vS0AYuL65BIhGlK0XD77f+I1dXwgj4/344nnvj3Db+PwORi\ns9kMo9GIrq6uiEmZkRDI8we4m9/qqhGdnZ0xR/mxPjedTgeXy4lrr70JBw5cjbNnT+LUqSM4ffoI\nVlYWMTurg81mh1zu1zdEwvS0HlarFZ2dHUnfNBcXF2EwGLBt21aIRG/F/XdC9CqaZqDT6dDS0pJ0\n88AwNEZHR5CTk43Kysqo2SylpRWorW3E+99/Bz+d6Os7hv7+45id1eHo0Zdx9OjLALjpxO7dB9HT\nsz9sOhEv5hdnEno8GhiGwfNv/RG4Feh/+gh/zibCrw8NwjKZ1mCxWLFz5w7I5QqeXw8Ar//+z/D0\nconInjo33jz9V9x+y2f48zc0iZphaBQXl6C7+xDq6mqhVg/h7NlTGB8fxNDUW9DJxvHsyw/jI+/7\ngm9hxYvz58+gtrYJbw+fQqW9DjD4GxyWZfGc/ml0t1yN6upqnD17NkhfQihdwaJ3Md66cAJTxeM+\nutw4Xj78v7ii5ypIJFIsLS3CaDSis3MrUkFjCbSTTYWb0Rtvvghd2QQgAmYqpgQL42gIPBfEYjEe\nfPSneM8VH4RIJEZbWysA8OdANCF3NN2Ny+XC2NgYTwkC4p8IRIKfChX7+hlLuE/gn2ZUx70f73Z4\nPG6sr68iPZ1GZ2elL6sm+LpPpgxC94PAxoI0F5ybHhP0d6GNRaQ6KBqMRmPKqHSXCqTuWltb400h\njEZjSgJFLwUuNxCbGCTrwO12gwRWxRJFJwryZb0UDUQoTYmzAE2MplRYGJmmFA1GYwYcjv8R+M3H\nE94WeR9erwckudhmc2F+fh6dnR0JNw+hmJ+fw/LyCjo7OxMoMoU/w5mZGZjNZr4RUSpV2LfvPdi9\n+wBcrm9Cp9NAIpEgMzMz7G9Pnz6Cvr5j6O09hO3be7CysorV1VV0dm6NK29i796PgGXD6Q0i0Tye\nf/4/MT2tR2fn1rh99znanhsejxdisYinV3EFyCjq6uqTdr5hWdZnuytP2AEmcDrx5S8DBsMMjhx5\nBcePvwadbpyfTjz22G+QkZGFXbuuQE/PfnR370d+fnyiYId3DCLVlcGfFQu4GVOibxX/+V8/hGub\nExAB7q1O/Ob39wdZWwoh2kr12toa5ucNaGtrhVQqhdfr5Vew3+w/HK5dCVnpDT1/l5aWsb5uxrZt\n25CWlobeXi6jgyQL4xbg9WdexD9+6V8hFouxsDCH//iP70IikaKjYweu7L4e3d37UF/fApFIBINh\nHktLS3z6cLjoPdiqkzz+Qv8TcB/i8nLctS48+frvUFFcj7W1NSwsLKCqagsGBgbAMDSIm4+QE1cw\n1csfdEZoXy6XC5OTE2hubgbLsnC5XEHbSBQUReH3L/8G3qu5pi1SYRwvjp36K/409hhkkgx87LbP\nBoj1g59HPnOueGR9WgthByCaZjAyMoKysjLk5uYFvVasiUAkBFOhYlsqxZNxEW2awbLvTuFuNHg8\nblgsRsjlFDo6KlBUVLShaVigu1UgAqcW5P+ksSDXgUjTikjHem1t7V3XQBAYjUb+3mU0GlOWm3Gx\ncbmB2GQQiURBImLOLlMZtyh6o695sek9pBESizle/cWgKV1sBOYfiMUiyGRcAWuxrOPs2bNQKOQY\nGDgf5pwjlMBMLqqhq55G4xoWFgzo6OjkL6rxFBDcsQz+DA2GeR8VgmtECM2KuEEplUp0du6M+Dm8\n9toLeOWVP+Hppx+BXK5AQ0M73vOem1BTU4W8vHgK3nIATws8fismJyfR1tbON1uhFC6SsbBliwwM\nQ8Pj8QZ8H9L5BiYwzyLZACFC9fr971+A1ZoF4Aj/OMCislKCf/qnz8S9vczMHDQ0bMV733sb5HI5\nLlx4C/39x9DXdwxzc3ocOfISjhx5CQDQ2NjmE2IfQEvLVsHGcWpqCj/9wfcFBdiJwu124cW3nwRu\n8z3QCDz/zBP44ifu3tBkyWq1YGpqEm1tbWHaE5ZlMa6/gCZzG3COaJFYgAUGRvvRu/MQxGIRGIaF\nRMIVnEbjGubm5gRzLX7zyP1wbXUAIsDV6eAbH6t1HR0dOzEyMoDz58/g/PkzePDBn2Lbtm5897s/\nx/y8AZ2dnQENa+zb39GTr/CWwQAAEbBYO4u5pUkU5lTgfe+7GUqln34n5MQVKUuAE6h6QdNOOBx2\naDQTKCsrxcrKChYXF4O249eaBFsCh6Ywk2sJIMKLrz4NQ81MSNM2jsPHXsCBPdfyz4/nvsKyLB47\n/Fu43uNA38nD+KTkCxGf67cDjdxckGMyOjoClUqFvLxcuFxOH/0J+OORh+DaE30iIAQhKlQsxMq4\niCXs5greuF4qYaRCB5IIvF4P1teNkMk8aG2tQElJcdI0OiHEmloIUaIIvZHoLUQiEUZGRkDTNBoa\nGt7VIXImkwmlpaX8z8m6Gl4qXG4gNhncbjcsFkvU7IZU42I1EMnQlKTSDGRlXdrQt0igaQoejxde\nrxef/ez3sLaWAXJXJqP7ggIHnnrq5zydg4QRccVCuHiViFA9Hg//vLU1buWspqYGer0OFEXz4tfA\nAiJ0JVMi4VbhlUolZDIZJBIJTCYTFhYMaGtrh9lsxpe+9K8wmbJ8NzoRf8PLz3dEpHDdcssnUFRU\nihMnXoNOp8Hw8FkMD59Ffn4RrrzyBsG/iRfNzcEhYKEULpL7IRaLYbPZBV2sSLBeonkWkaDX6+F0\nOmC1ZuH8+fsFnnG34N8JTX4cDjvGx8fR0NDI21sSZ6cvf/k7mJ+f5oXYAwN90GhGoNGM4NFHf4PM\nzOyg6UReXgGmp1Nnr0pRFH74wDfh2eEOKi4Di/FEQILTGhoaBYXrIpEIX/7kd8MeD9dasPB6Kfzn\nQ/ehq/1K36RABK/Xy69YMwyL588+Adzi20hA49PY2IZf/vIJWK3rePvtUzhz5gTOnDmOqqoGaLVT\naGtrDxJeO50OyGTyqNdYoeKSpimcXDmCu7/0g6DmAYBPLC5JKMzP6/ViaGgQV1xxRcTzmOh9Ik1N\nQq8rOp0W2vlx1IgbQC8w/AIDywLHjYeRoyrhHb+IO5cQfYs8fuqt16Ev1QAiQFeqxvOvPIU9XVcG\nuHIJT15Cwd1rgIce+xkO9rwXKlUGGhsbA6i0DI6efAW60omwadXrJ170ieD9E4xASlSgpSyhQsWD\naBkXZrM5SNh9qZGsDiReUJQXZrMRaWlutLSUo6Sk+B2790ZqLsjCqlwu5xuKY8eO4emnn4ZWq0V6\nejqKi4vR39+PxsZGNDY2oqmpCbW1tbyr0WaF2WzmTTDW19exbds2AJt/svXOV2eXEQS5XI6cnJxL\neuKk0sr1naQppRJEd0I8/Ik+YG0tE3Z7OBXKZOKoUITiIZMl1viZTCaYzWbceONNghz+wAIiuDnh\nigmr1cLf4EymNWi1OmzZsgUrKyugKApraxlwuR4L2y5F3Y7+/r4wESr3nxw9PVejpKQBhYV5mJgY\nxvnzfaipacLq6mpYwXH+fD+amtqQmxvb0i87W5hqFKj3YVkGP//5o5ifD39eZaUYN9zQg9zcvJTY\nZs7NzcFkWvNx2U/HfD4Q+eLOhZ1xYWKRRtHl5VX4wAc+hg984GNwu104f/4M+vqOor//OObnp/HG\nG3/BG2/8BQBQU9OIhoZ23HjjBzf03gJBhKC6hVGoljIAdeAvERawFQvxvNdICNVasCyDw8f+glem\nn0VzQydyc3PCKDAPPvpTfvrAbcTf+Hzpk/dAJBIhMzMbBw9ej4MHr4fNZsOFCwNoamoOE+o/8cR/\n4dln/wddXXv55q6gINjSNbS4dLlcGBoaQm1tbVDuwUZXihmGxtjYKAoKCqI2wZw5ghTx3LJnZ2eQ\nk5OD+7/zG4jFEjidDigU6RH3S4i+FdiU2Gw2vHTuaXiv57RA7lo3njvyGJpqtga4coVPXiJNTc6P\nnsazI7+H0+rBTdd+CHq9nrcElkgkeGvoFOqszRAZ/d8xEYAhzdvYu+tqfkofmFvAZdKMoqSkGLm5\nOSmh5Nrt9oCAPG6aIfQ5Xyz6b7I6kHjANQ6rkEhcaGoqR1lZ6aZYtBMCEWQHUqK+9rWv4Wtf+xoY\nhsG3v/1t1NfXQ6FQQK1W4+jRo1Cr1ZidncX999+Pu+66K+l9+NWvfoVHHnkEQ0NDuP322/Hwww8n\nvU0AsFgsvAA88OfNjs15pvwdI9W2Z/G+ZrITiI3QlAyGRej1i6Bp+aahKXENkCcoLVqp3LjLlRA+\n/OF/gNHoL2ZCpxhCCCwghBZTlMp0yOUK2Gw2TE9Po6enB5mZmZDJZEhLS4NE8rzgdqVSCXbs2Mnf\n9AObE4vFiqkpLZqamqBSqVBWVol9+66B18s1fYENjcNhx7e+9VnQNIUtW+r/H3vvHd7YXaeLv+py\n791y7z0zmfGUTCNMKlmSSwiEJQ+h3Ny92b35UfJbFpYky70QwpKbhV3IQiAEyLIkgcAEyKaQMiWZ\nGU+3LVe5S+6WrN7POfePo+/ROdJRszQzHvD7PH5mbMvSUT2f9/N5P++L1tbroj4Gk5MTgm4lm5TL\nFiBsNgF7Jw0GGv39/xz29w7H/8JHPpKekgyKpaUlLC4uors7kZ0Tcfh8PgwPD6G8vCzuMDGVSs3l\nSACAwTDDLWJfunQa09PjmJ4ex5tv/pY3nTiA3t79yMuLX/PLBpONQy6X4xfffT3p1zSbAzCMsrL4\n72s0uN1u/Oc7z8Bzsxt/OPUr3PrBuyCXC49xYOIsmywcQnzOyd7nJDBkcdfr9WJkZBhNTS2iS4kz\nMxOw2SwCKVl9fQseeuhr6OnpDbs8eW4rKyvCtNYb6RSToLi0tPSwoLiNYmlpCaurqwnlKJCpCQvh\nPpLP58Uf3ngJpuZlAWlbqJnFkmkm6n0lMpRQydb/ffEr8N7igfbYGXws49O8BWx2Yv3fDn9KNAOF\nomj09/cLpiakMaXXzyEtLQ1KpRJmsxlsgKIccrkMcrmcyzshE1u5XB4yNQmSHIAQ42HU1dULiOKV\nmgiQ29roHkgs+P1+WCxrkEpdaG6uQFlZaUJTs6uBaERNKpXCarXi5ptvRmtrq+B3xO4+FaioqMAj\njzyCN954Ay6XK+nrI/fH4XBwpGF9fZ3bh7jajdRY2CIQmwxX4wWTDIEg3WKfz5eQTGl52QqZLAPZ\n2VVXpONRUOAAw9zHSXj4PwfYLhzfxjTRtOhEYDRmRJ1ibBQmkwlarRYtLS0oKiqK8/iJ643w5OF0\nOjAxMYFdu3rj8jtfWNDjuut6cfFiH2ZndZid1SGoMwlHWlo6t+PhcDi4D3hSEPh8bAK53W4X/Xs2\nAdWOgYGBMP23WFHA30XhX2593ZzwMnckUBTbTS4oiD/sTAyVlTW4++4a3HjjX2F4WAufz4FLl87g\nzJljmJ+fE0wnmps7ebsT0S1ip6en4Pf7Y9qNfuc7z0KvD59IajRSbgeE7ZyPIC8vDxUVyecA+Hw+\nvHTk51ipN0QtmJ79Z3EiHLq4S3ZjiouLkZmZAZfLxcleCMn4p3/6Hubnv4SzZ0/gzJkTXEhgdnb4\nJIWmKYyOjqCgoBBlZeVht72RTvHk5GQgKC4+O9lYWF83Qa+fS5nchoTtLZvn0OLtjLgjEAliC7R/\nfPPXMFTPABLAUDWN8ZmBDRXFDEPD5/PjJ//xFPZuvwU1NTWoq6vn5KMk9d3v94Oi2HOUw+EIJHJT\nAJhAEndQPkf2rmiawfr6OrZt2ybQ1Ed+ntnF8FQiXmeoRMESByOkUicaG8tRXt626YkDQaxJj8lk\nEt2BUCqVKZMw3XnnnQCAs2fPYl5sNJ4gyP15/PHHuR2IBx544Jpx+toiEFuARCJJSMIkFmKXnp6e\nkEypsLDmipKlF154Ck6nAwqFkvvAJLKgb3zjaej1FFdYkJNBVZUsTJsfzW//aoCVWXlht9sxOjqK\njo4OFBcn1w32eNzQaodQW1sbd1hSebkG3/vef8DhsHM2sX/4wzSAj4ZdViKZR1FRIXw+P/x+PxQK\nBVQqpaBjSlF+uFxuZGUNit5eXl4+GhsbRWVd7IImxcnPKIrCz372CpaWZJylJ8DA76egVq/hk5+8\nDQMD/RzpcDjESYvHwzptkaVVmUwGj8eLjAwfJBIpJiYmoFarUyKpstms0OnG0dnZhezsHBw8yBZZ\n7HTiaGA60YexsUGMjQ3iF7/4AbKzc7npxM6d+wTTCb1+DlarLa5gMr2eRn9/5B0Q0jlXqZSork6+\nc05kPO/p3oTn0MYcg/iLuwCFyclJlJaWorq6mlccgifNYX9WUFCEW2+9G7ff/lH4fH6MjvajpqZe\nUKwQZ67vf/9/o62tiwuyS0tjg5820inW6+fgcDhSEhQHADabDTqdLmx5eKONIYahMTbGhu195e/E\nXguJw2q14MV3n4XvcPKuUBKJFCfPvoNXdL9CZnoePnnP5+KeuAitiMNtiUdGRlBXV4fi4mIuxR2Q\niD7P7E5G6hGPM1QioCgKFosRgAMNDWUoL2/Z9HsBoYhFICwWyzXjXhSKqqpgoOXhw4ev4pEkhi0C\nsclwNSYQUqk0riRgIlMi9oKxQuz4MiWaViMz82rLlIKZF8RNCQDm5xkMDj4pcnlhsBsZxV9tkD2T\nb3/7xzAY2M6r3e6AWq2GSjUSgfjEB6/Xi8FBLSorK1BcXBL7D0KQkZGJAwduxoEDN+Pv/57C+fNn\nkZ9fiIaGBsFeyZEjv8Kvf/1T7NnzAezZ8wH09OxMaG+EWM/GC5vtKHS6J8J+3tHxMA4dOiQgIPX1\np6FSPYzggi+rty4poeHxuHkacRoulxNSqQx6/Rz8fj/KyyvQ19fH03+HL76T/wcXUIV2nj6fF2Nj\n42hoqIdCoeBCI2UyaWA6cT/uvvt+uN0uXLrUF5A7HcPCgh5vv/1HvP32HyGRSLjpRENDB9LSstHT\nI+7ulChI57ylJfkUckJGhnTnsVAzl3TBRK5PrVZz5IbsJQHCXAv+EjfDMFAqJejo2A6PxwuirZdI\nJJiamoLBMIvR0X6Mjvbjt799HgqFAl1dO7Bz534cnXwtoU7x8vJywKY5+aA4AHC5XIGF/caIy8OJ\nPk+Tk1MAgPr6xKyMI8HlcuHXR36B5fr5lBTFDMPg+T/9O9yHnXj/5Ju4TxL/5100K2KdbhxqtRpN\nTU1gmwx+LkzxV+88A/fe4PP8wrs/wf5dh7nrTCViOUPFC5Y4mADYUVtbgsrK5muOOBDECuyjafqK\nmM5cbvj9/sumfkg1tgjEJsTltlVN9Pb4MqVYIXZXU6YUD4g0Ri5nCRDxY48FsqSXm2uFzRYuNSJS\nqPiwsec21EZ2YUGCwcHw/YBQ4hM8vujHTVyNiouLkpLgAMFCLjs7F3V1dZx9LMCOlH/966MwGGrw\n0ktTeOmlKUgkP0VWVg46O4vwne/84xV7D7BaaOHS+yOPPChIuCavXX6nEgC3t6HX61FVVY2Ojg7O\nXjBU/y3uoENxTlsejx8U5YLL5YJON46ioiKsr69jbW1NQG5CHXPS0/PwwQ9+BDfddDfW1pYxNHQB\nWu05jI0NYHSU/QKAzMxsbNu2G9dfvxfXX78X+flFAtIS78lqbi51blAAS0YYhsGabQHN623ABf6x\nJF4wBWVBDTEvy1/iDgXpTM/OzsHpdGLPnhvw1FPP49y5Ezh37iR0uiGcP38SC6t6mA6uxV0UCzMK\nki/kfD4fRkaGodFoBDkKySDV0xFyjGv2RbS4E5dCieHVP72M2YpJQALMlOlSsh9gMOjhcrnR2dkR\nNs149/3XMF0+EfI8j+Pt43/EDb2H4Xa7BaF5EgmwkURugmjOUPGAEAeGIcShUeBAdi0i2gQiFYvs\nhw4dwrFjx0SvZ+/evTh+/HhS1x8J5DxHbjd4vrmy4b4bweao6rYgwGYgEESmxLrhMHHJlFZWVjA1\nNQ+Hg74qMqVICKZF+yCVysLsQGOBplnnGqVSiZdf/rek7tNGphih+xn8HIR4ESttm5++nIqFTp1O\nB4qiUFtbC7vdHkLYJCgo2AGDISiNYBjAagUWF4X+8lVVMvh8X4Tb7UZGRjAlm82NSC3EEq7ZXQ22\n8OdLWth/aUxOTsFisaKtrS1AkIKda6mULfbZDJfYxYTf78fg4CB6e3dF3CsItwgOuucUFRWjubkd\nH/7wvXA47Dh//hROnnwXBsMEjMYVHD/+Bo4ffwMSiQQaTR2am7vR2NiJiorqwGIpOxGJtHdis1kx\nNDSMtrY2rK6uhmScCG08iatONPDJSFvb1+D1erjHayPQ6+dSRm4kEglWVtZgMpnQ1cUW+9u378K2\nbb144AEG6+smnD37Ht4+8wcUrhcD57m/BMDg6KnXMDOuQ2/vPjQ1sZMGVmaUWEZBNMTr4JQIVlZS\nOx0huyOFhYX48oOPp+AIWbnWi+/+JCVSKILV1RXufoudG0aLHz0AACAASURBVLS682ixhE8ERmcG\ncEPvYSiVipihefzPBbFE7lSApmlYLCZQlA01NcXQaFhXoj8HxCIQQHKToHfffXfDf5sM+Mdss9nw\n9ttvo76+Hp2dnVfleBLBFoHYgsDGlaZpuN1uTjaRlpaWoEypcBO5KQmLQVJ8JkIeyFibYRjOr3yj\noGkaw8MjcU0xyH4G6YKzOQjBApqmWeejVOBb3/oRxsZskEgknK4biLQDEhuTkxMwm81obGwEwzDI\nyEgPIzyRHsegBIMltQ88cDd0unFcunQCtbWV2LXrALKzk0ubDgXfeYufcB3pGMnPl5dXsba2im3b\ntnPdvVB9NV9vH+pfz/8/w9AYGRmOuZQskUihUJDiOHJH0eFwYH29Fbfeeheys7Oh10+jr+8Ytzsx\nNzeJublJ/OlPv0VOTh527LgBO3bcgJ6eXRGLW5/Ph4aGBtA0DYfDEXO6wjAMN+HgL7BLpRKsr5th\nMpnQ0tKM+XlDwIqThkIhD2QzhOedRAs+47sPpaLwXV83iU4KyNQiP78QN998J26++U7ud/zn/pln\nvoPnnvtXPPfcvyInJw/d3TtRUlKFw4fvgFqdJtDWb+QzJX4Hp/gXfNnJ8Sw6OjpSMh0hrl9qtTpl\nLlMejwcv/e7nKZNCAax2fnp6Our9jjQRICGXrBRRaPPKIphzQtMU97lAGg2hxGKjUwuapmG1rsPv\nt6K6uggaTV1KSOq1AovFIuq0lmpQFAWfz8ct6Hs8Hs7layMYGxvDiy++iKamJtxxxx3IyspCTk4O\nRkdHkZWVtemXqbcIxCbE1eja0zQNu91+zcuUiMzH4/FCJpMKikGyVJsIpqYm4fF40dHRvqGEXv5x\njY6OQqFQRJ1iROqC8y9P0zRGRkaSOh7+7Y2P2zE+/m8ivw2XQkW7HoqiMDU1hZWVFfT09ESdWEUC\nv3Nss1lhMBhQWVmJL33p30HTNKRSKTo6tmH37kPYs+cQHnnkJwJLXIKCAkfI1EV8okfTNGw2G+Ry\nlizzX8OkICRSI86TXiKByWSEXj+HlpZWKJVBF5No+mphaBoNn4/ipE46nQ5KpQIVFeVJF5dut5uz\noCQn1aqqOlRV1eGjH/00XC4nLl48zQXZLS0Z8NZbf8Bbb/0BEokEOTnbUVLy18jOzkV6egb8fgou\nlxNNTXlobGyM+ziEGQFBgrG2tgaXy4Xu7i4oFApOxuV2u+FyMZBI7IJl+FCiQtx9CKGw2+1YWlpC\nY2MjpqenBanvJFuA79TFTkuCl+HbdwJkgV2H1ta2hIow/nO/a9chuFxOnDlzAktL8zh+/A0AQGlp\nCerq6gVd6mAhKQkrKiNhamoqpQ5Odrudl3mQHvsP4sDMzDQoikJLS3NKro+1DR7Cqm0eLZ7USKHY\nEMRRNDe3hIUCxgOGEZ6vw21egzknwr8TLm9TFB3WaCAyKLHQPP71WCwm+HxWVFUVoLq6+8+WOESb\nQJhMpiuSnfCNb3wDX//617nj+OUvf4nHHnsMjz76aNzXQc5j586dw8MPPwyFQoGXXnoJjz32GO6+\n+2584QtfwMTEBJ5//nk88sgj3OU3I65+xbeFq4ZQmRIrj4ktU5qcnIfTuVllSqyrj1jXm3S1Q8HK\nYcKL5ZwcOzfWZolHeDpmPGAYBhMTOjAMjaamFtHHixCfb3/7WSwsMGEFBJkGkIkIOy1I/kQxPT2V\nVIggn/AsLy/BaDRix47roVIlNzZ3Op0YGxtHT08PFAoZ/u7vvoqTJ9/FpUtnMDBwDgMD5/Cb3/wM\nbvfNopa4/H0PmqaRlWVDc/NDgeKI4U7clZXyMEkb/+QOsCdxpVLG/dxsNmNiYhLNzU1Qq1UBckH2\nIiSBE79EQIZCQ9M++cm/h8nEFiyE1EqlUhQU2PHss9+IKIGIVVz6fF4uq0DM0hBgLXTJ8jrDMJib\nm0Jf33H09R1Df/8ZmM3nAJzD8jKQnZ2H+vpW3HLLbdi/n10YjcfmlTxucrkU/NOMxWKB0biGXbt2\nhQUmxith4k87zGYzRkdHsWfPHqSlqUVS3/0BtzhhUjO5DCEnDENDKpXB7/djbm4WGo0GMzMzguCq\nULlW6HSF//+urutx3XU7QdM03n77TczOjmF8XIvduw8KutzkNXXhQh9KS8tRVFQWc2JlMMzDbren\nbEfB7XZzCc78zINkMD8/D7PZgs7OzpQcIwlAzM3Nwz/87bdScITs6214eAS1tXUp6V4nYucbb6OB\nv8jNl0dKJKyrFU3boNEUoKamC+npqSF+mxHE/CTS42k0GsOyWS4HHnvsMTz22GMJ/x3/2EkN4ff7\ncd999+FjH/sYxsbG8M477+D111/HPffcg9LSUnzgAx9I6bFfDmwRiE2Iy12Qh8qU1Go1HA4HVCqV\n6G2HypSysopQVBRfgfjEE89gbi7c4SkZpyACsbRotTozYpEf9OwWQuw4DAYDtFotZDIphoaGucIj\nkixDLGeAdDwNBgPcbjfa29vgcDg4SYZMJufuA8nRWFqSYGAg8mL05GRwIlJV9T73c+JhLpXK4t4P\nmJubhdls2VDnLXSh22634wc/eAFOZx6ef/6S4LKJPtdsB30INTXVXFfp4x//HD7+8c/B4bDh7Nn3\ncerUu8jOzsWRI86IxwcEydt9992OpqYm+P0++P0UVColFAql4LUSThyChT8LCaxWB0ZHx1BXV8dN\n6cgyNbGIZf+eARA8hmBHkSUAJlMGHI7nw45bIrlPIIcKlUDwi0u+7IHIEIeHWb15aFZBJEgkElRX\n16O6uh733MNOJy5cOMVNJ5aX53Hx4klcvHgSTz31CFpbu2A0tmN5+Zci1/blqLflcAS7vWJp6/GC\nBJ/5fF7o9XPo6enhgpc2CoZh4Ha70d/fj717b0BBQQFHNIL7JhQ3UfF4vKAol2C6Ejpp8fv90Ov1\nUKmU6Om5AddffwBGoxnr6zbB54NEIsHXv/7/wWo1o7KyBj09vbjuut3o6LgOKlUaSLioRAIYjSYs\nLCygs7MjMKWho8pfYi1i+v1+jIwMi4bjbRRra2tYWFhAV1fywYwAkZHqIJfLUybpYDNbRlFSUoKi\noqKkjo08vKkIfgttNITeFk1TMJvX4fWaUVqaDY2mEWlpaWAYBk6nM0Ayg19XI5j2ciLaBCJSw+Rq\ngrz/tFotRkZGsG3bNpSUlCArKwtmsxlFRUXIzMzE9u3bsX37dtx+++04cuQIXC4XDh48CGBzh8lt\nEYi/EJBC1ePxcDKl7Oxs7kPK6XQKTjapkinNzVG4dCncPjMReUwo+MVrImnR8S6nLy4uYnFxER/4\nwKGwcDFi30kKCuFCq7D76fV6YTAYsL5uQm1tHQyGee6yHg/rSkSIg0ql4uQYYnC73Th16hTsdjva\n2lqxtmbEAw98hCMiRPKRnZ0V147HwsJ8YLrSBYmkL+blg/c/fKHbarVhdnYGDkdu3K5QkaY+FRXs\nh21lpQaZmRlhBVBGRhYOHryFy0U4cuQR0eN0uez4+Mc/gLa269DQ0IGbb74DHo8nTBLGMAyeeOLH\n0Ov9IC8NcnMajQxf/vLnALBTAqvVgoGBQTQ2NqK0tDTQGSYQklZCQkjnkARUEWIRj0dCpGJCrEvp\n8Xjw5PcfxV23fgrFxSXwej0b0lanpaVj794bsXPnPhw4cAcYxofJyRH09R3DwMBZDA/3A0i8WOcn\n+6ai20u6xzU1NUmTB4B9nsbHx1FRUQ6Npir2H8SBiYkJ5ObmoqmpMSDHCi698yciFss6GhvbMTR0\nAQbDDAyGGfzxjy9CrU7D44//FDKZHDRNwWKxQK/Xo6KiAg9++R78z08+yiUqk+kUSVlmZVtyyGRS\nMAyDtLR0gVyLpL+PjY0hJycHJSWJWzaLwWKxYGpqEu3tHSlz/dHr5+DxeNDe3p6SYordzWAzLjQa\nTQqO8PIFv/Gv32o1w+u1oLw8GzU1PRwJJ915EohHAjrJ9+xngDTsC9jcxSkfsYjwlZpAJApiLfvq\nq6/ia1/7GsrKyrBz507cdtttqKmpgdPpFOxvtLW1oa2tTXAdm/k52iIQmxCpfMGEypTUajUyMjLC\nboMU10KZEgO1OmfTyJSSdSOSSBCzcFtZWYFeP4fOzi7RZGLy4RsPkZqfNyA9PR27du2CUqkULOsS\n4qNQKLj9AYqikJ5+RvS6fD4f1tdNaGhohNPpAkXZBdpwr9cDj8cLhUIR0IkLpRX84sFisWBlZRkt\nLa1YXl6G1+sRvU2apuH1eiGXs/IdIhFjF7pZ2Y/NZuO00zLZxZiPCYHYRMLv92NgYACFhYUoLy+H\n1WqJ+/rEMDc3hbm5KQAv49lnn8SXvvR13HYbm45NTroMQ2Nuzh8xOM3vp+DzeeFyuTE2NoqmpkYu\nMTQaCLkIJXOEWEQisgzDPg5iUwuCUGLBMAx+88rzeM/0JvZbb0S7sk2grfb5EpNDsd3ZERQVFaGq\nqhrXX78bH/vYZ+B0OnDx4mk8+eTbMJnCj318fAg///n30dt7AE1NwZ0hn8+H4eEhVFSUp6RL6Pf7\nMTQ0jNLSUhQVJReaCATlMZmZmSkjD3wr1CD5Ey+oS0pK8NRTP4PP58XQ0EWcOXMCfX3HkZGRie3b\nrwfA7igMDw/hzjvvxM9f+jfo06dwcfQoPvuJLwocudik5fAvl8vNkU1CPGdnZ8EwNMrLK7C6usJN\nMIVyrfDPkdDsEnJ5j8eL8fExNDY2QaGQB/zspUlJmJaWlrC2tobOzq6EzC+iYWpqCgyTmowLUtim\nOviNf/02mwUejxmlpVmorW0Ly78hUwaxyXsosSBLwGRCKzaxSMTW+UohFoFYX1+Py7r5SoMcs0ql\nwtNPP42ioiL85je/wZe//GWYzWbIZDJ8+MMfxuc//3ns2bPnKh9t4tgiEH+moCgKHo+HcwmI5abk\ncrmwvLwCvX4tYZnS5URQ4uMVdSNKBLEmECaTEdPTU+jo6Eh6v2BpaQnz8wvo7mbH+G63myvG0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4//6/E1yWphkMDw9DqVSiqakxwiMTP9xuDwYGBlBbWxNGVNlObygRES6th/7OarVhcnICGk0V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emWvMbl5eWQyWTtbn0DwFYcDMPCamtrkZKSgnHjxvHmDNXXMCbGyZ89HZJnaMlK2gsNUavV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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9568844320>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from mpl_toolkits.mplot3d import Axes3D\n",
"\n",
"def plot_3D_decision_function(ax, w, b, x1_lim=[4, 6], x2_lim=[0.8, 2.8]):\n",
" x1_in_bounds = (X[:, 0] > x1_lim[0]) & (X[:, 0] < x1_lim[1])\n",
" X_crop = X[x1_in_bounds]\n",
" y_crop = y[x1_in_bounds]\n",
" x1s = np.linspace(x1_lim[0], x1_lim[1], 20)\n",
" x2s = np.linspace(x2_lim[0], x2_lim[1], 20)\n",
" x1, x2 = np.meshgrid(x1s, x2s)\n",
" xs = np.c_[x1.ravel(), x2.ravel()]\n",
" df = (xs.dot(w) + b).reshape(x1.shape)\n",
" m = 1 / np.linalg.norm(w)\n",
" boundary_x2s = -x1s*(w[0]/w[1])-b/w[1]\n",
" margin_x2s_1 = -x1s*(w[0]/w[1])-(b-1)/w[1]\n",
" margin_x2s_2 = -x1s*(w[0]/w[1])-(b+1)/w[1]\n",
" ax.plot_surface(x1s, x2, 0, color=\"b\", alpha=0.2, cstride=100, rstride=100)\n",
" ax.plot(x1s, boundary_x2s, 0, \"k-\", linewidth=2, label=r\"$h=0$\")\n",
" ax.plot(x1s, margin_x2s_1, 0, \"k--\", linewidth=2, label=r\"$h=\\pm 1$\")\n",
" ax.plot(x1s, margin_x2s_2, 0, \"k--\", linewidth=2)\n",
" ax.plot(X_crop[:, 0][y_crop==1], X_crop[:, 1][y_crop==1], 0, \"g^\")\n",
" ax.plot_wireframe(x1, x2, df, alpha=0.3, color=\"k\")\n",
" ax.plot(X_crop[:, 0][y_crop==0], X_crop[:, 1][y_crop==0], 0, \"bs\")\n",
" ax.axis(x1_lim + x2_lim)\n",
" ax.text(4.5, 2.5, 3.8, \"Decision function $h$\", fontsize=15)\n",
" ax.set_xlabel(r\"Petal length\", fontsize=15)\n",
" ax.set_ylabel(r\"Petal width\", fontsize=15)\n",
" ax.set_zlabel(r\"$h = \\mathbf{w}^t \\cdot \\mathbf{x} + b$\", fontsize=18)\n",
" ax.legend(loc=\"upper left\", fontsize=16)\n",
"\n",
"fig = plt.figure(figsize=(11, 6))\n",
"ax1 = fig.add_subplot(111, projection='3d')\n",
"plot_3D_decision_function(ax1, w=svm_clf2.coef_[0], b=svm_clf2.intercept_[0])\n",
"\n",
"save_fig(\"iris_3D_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"# Small weight vector results in a large margin"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure small_w_large_margin_plot\n"
]
},
{
"data": {
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p02HwYDjhBJg/H9q1izoiERGJm6oqmDo1FFQTJ8Ihh4R26hMnQufOYWaEiDSe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\niIiI5Mj/B/7Ldc5B003JAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f956881b748>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def plot_2D_decision_function(w, b, ylabel=True, x1_lim=[-3, 3]):\n",
" x1 = np.linspace(x1_lim[0], x1_lim[1], 200)\n",
" y = w * x1 + b\n",
" m = 1 / w\n",
"\n",
" plt.plot(x1, y)\n",
" plt.plot(x1_lim, [1, 1], \"k:\")\n",
" plt.plot(x1_lim, [-1, -1], \"k:\")\n",
" plt.axhline(y=0, color='k')\n",
" plt.axvline(x=0, color='k')\n",
" plt.plot([m, m], [0, 1], \"k--\")\n",
" plt.plot([-m, -m], [0, -1], \"k--\")\n",
" plt.plot([-m, m], [0, 0], \"k-o\", linewidth=3)\n",
" plt.axis(x1_lim + [-2, 2])\n",
" plt.xlabel(r\"$x_1$\", fontsize=16)\n",
" if ylabel:\n",
" plt.ylabel(r\"$w_1 x_1$ \", rotation=0, fontsize=16)\n",
" plt.title(r\"$w_1 = {}$\".format(w), fontsize=16)\n",
"\n",
"plt.figure(figsize=(12, 3.2))\n",
"plt.subplot(121)\n",
"plot_2D_decision_function(1, 0)\n",
"plt.subplot(122)\n",
"plot_2D_decision_function(0.5, 0, ylabel=False)\n",
"save_fig(\"small_w_large_margin_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 1.])"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.svm import SVC\n",
"from sklearn import datasets\n",
"\n",
"iris = datasets.load_iris()\n",
"X = iris[\"data\"][:, (2, 3)] # petal length, petal width\n",
"y = (iris[\"target\"] == 2).astype(np.float64) # Iris-Virginica\n",
"\n",
"svm_clf = SVC(kernel=\"linear\", C=1)\n",
"svm_clf.fit(X, y)\n",
"svm_clf.predict([[5.3, 1.3]])"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"# Hinge loss"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure hinge_plot\n"
]
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x7f9568697b70>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"t = np.linspace(-2, 4, 200)\n",
"h = np.where(1 - t < 0, 0, 1 - t) # max(0, 1-t)\n",
"\n",
"plt.figure(figsize=(5,2.8))\n",
"plt.plot(t, h, \"b-\", linewidth=2, label=\"$max(0, 1 - t)$\")\n",
"plt.grid(True, which='both')\n",
"plt.axhline(y=0, color='k')\n",
"plt.axvline(x=0, color='k')\n",
"plt.yticks(np.arange(-1, 2.5, 1))\n",
"plt.xlabel(\"$t$\", fontsize=16)\n",
"plt.axis([-2, 4, -1, 2.5])\n",
"plt.legend(loc=\"upper right\", fontsize=16)\n",
"save_fig(\"hinge_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"# Extra material"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"## Training time"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f95687af358>]"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Q0/YVnE0bfHctRIE+ay+qiaGVwACh9/VxEoVURUUVodAQ1Ap4imWkacuXMPpdwzyzgNGh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\nuYj5/79k/42FoloUAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f95687afdd8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"X, y = make_moons(n_samples=1000, noise=0.4)\n",
"plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"bs\")\n",
"plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"g^\")"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[LibSVM]0 0.1 0.3528125286102295\n",
"[LibSVM]1 0.01 0.3614490032196045\n",
"[LibSVM]2 0.001 0.39508676528930664\n",
"[LibSVM]3 0.0001 0.48508739471435547\n",
"[LibSVM]4 1e-05 0.41759252548217773\n",
"[LibSVM]5 1.0000000000000002e-06 0.4349949359893799\n",
"[LibSVM]6 1.0000000000000002e-07 0.3690478801727295\n",
"[LibSVM]7 1.0000000000000002e-08 0.37545323371887207\n",
"[LibSVM]8 1.0000000000000003e-09 0.4125950336456299\n",
"[LibSVM]9 1.0000000000000003e-10 0.36350512504577637\n"
]
},
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f956867eeb8>]"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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XhnWaOnSAf/4z7mhyj2oQdfS3v4VF83IpOUBYwO/RR+Gvfw378BajN98MwxcP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\nShAiIpKSEoSIiKT0/xVlmJPFbrv7AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f95688d69e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import time\n",
"\n",
"tol = 0.1\n",
"tols = []\n",
"times = []\n",
"for i in range(10):\n",
" svm_clf = SVC(kernel=\"poly\", gamma=3, C=10, tol=tol, verbose=1)\n",
" t1 = time.time()\n",
" svm_clf.fit(X, y)\n",
" t2 = time.time()\n",
" times.append(t2-t1)\n",
" tols.append(tol)\n",
" print(i, tol, t2-t1)\n",
" tol /= 10\n",
"plt.semilogx(tols, times)"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"## Identical linear classifiers"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SGDClassifier(alpha=0.002): [ 0.044] [[ 0.79840906 -1.48586286]]\n",
"SVC: [ 0.04569242] [[ 0.79788013 -1.48716383]]\n",
"LinearSVC: [ 0.04556425] [[ 0.79764006 -1.48669374]]\n"
]
}
],
"source": [
"from sklearn.svm import SVC, LinearSVC\n",
"from sklearn.linear_model import SGDClassifier\n",
"from sklearn.datasets import make_moons\n",
"from sklearn.preprocessing import StandardScaler\n",
"\n",
"X, y = make_moons(n_samples=100, noise=0.15, random_state=42)\n",
"\n",
"C = 5\n",
"alpha = 1 / (C * len(X))\n",
"\n",
"sgd_clf = SGDClassifier(loss=\"hinge\", learning_rate=\"constant\", eta0=0.001, alpha=alpha, n_iter=100000, random_state=42)\n",
"svm_clf = SVC(kernel=\"linear\", C=C)\n",
"lin_clf = LinearSVC(loss=\"hinge\", C=C)\n",
"\n",
"X_scaled = StandardScaler().fit_transform(X)\n",
"sgd_clf.fit(X_scaled, y)\n",
"svm_clf.fit(X_scaled, y)\n",
"lin_clf.fit(X_scaled, y)\n",
"\n",
"print(\"SGDClassifier(alpha={}): \".format(sgd_clf.alpha), sgd_clf.intercept_, sgd_clf.coef_)\n",
"print(\"SVC: \", svm_clf.intercept_, svm_clf.coef_)\n",
"print(\"LinearSVC: \", lin_clf.intercept_, lin_clf.coef_)"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"## Linear SVM classifier implementation using Batch Gradient Descent"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"# Training set\n",
"X = iris[\"data\"][:, (2, 3)] # petal length, petal width\n",
"y = (iris[\"target\"] == 2).astype(np.float64).reshape(-1, 1) # Iris-Virginica"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 1.],\n",
" [ 0.]])"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.base import BaseEstimator\n",
"\n",
"class MyLinearSVC(BaseEstimator):\n",
" def __init__(self, C=1, eta0=1, eta_d=10000, n_epochs=1000, random_state=None):\n",
" self.C = C\n",
" self.eta0 = eta0\n",
" self.n_epochs = n_epochs\n",
" self.random_state = random_state\n",
" self.eta_d = eta_d\n",
"\n",
" def eta(self, epoch):\n",
" return self.eta0 / (epoch + self.eta_d)\n",
" \n",
" def fit(self, X, y):\n",
" # Random initialization\n",
" if self.random_state:\n",
" rnd.seed(self.random_state)\n",
" w = rnd.randn(X.shape[1], 1) # n feature weights\n",
" b = 0\n",
"\n",
" m = len(X)\n",
" t = y * 2 - 1 # -1 if t==0, +1 if t==1\n",
" X_t = X * t\n",
" self.Js=[]\n",
"\n",
" # Training\n",
" for epoch in range(self.n_epochs):\n",
" support_vectors_idx = (X_t.dot(w) + t * b < 1).ravel()\n",
" X_t_sv = X_t[support_vectors_idx]\n",
" t_sv = t[support_vectors_idx]\n",
"\n",
" J = 1/2 * np.sum(w * w) + self.C * (np.sum(1 - X_t_sv.dot(w)) - b * np.sum(t_sv))\n",
" self.Js.append(J)\n",
"\n",
" w_gradient_vector = w - self.C * np.sum(X_t_sv, axis=0).reshape(-1, 1)\n",
" b_derivative = -C * np.sum(t_sv)\n",
" \n",
" w = w - self.eta(epoch) * w_gradient_vector\n",
" b = b - self.eta(epoch) * b_derivative\n",
" \n",
"\n",
" self.intercept_ = np.array([b])\n",
" self.coef_ = np.array([w])\n",
" support_vectors_idx = (X_t.dot(w) + b < 1).ravel()\n",
" self.support_vectors_ = X[support_vectors_idx]\n",
" return self\n",
"\n",
" def decision_function(self, X):\n",
" return X.dot(self.coef_[0]) + self.intercept_[0]\n",
"\n",
" def predict(self, X):\n",
" return (self.decision_function(X) >= 0).astype(np.float64)\n",
"\n",
"C=2\n",
"svm_clf = MyLinearSVC(C=C, eta0 = 10, eta_d = 1000, n_epochs=60000, random_state=2)\n",
"svm_clf.fit(X, y)\n",
"svm_clf.predict(np.array([[5, 2], [4, 1]]))"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"[0, 60000, 0, 100]"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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N+g6KiFgaEX8TEY9GxHRE3BURb+yaf25E3B8RuyPilohY12+bkqThaWOPYgLYBrw6M38M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\nI4NCktTIoJAkNTIoJEmN/j9s5sK29URsjQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f95686c04a8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(range(svm_clf.n_epochs), svm_clf.Js)\n",
"plt.axis([0, svm_clf.n_epochs, 0, 100])"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[-15.56780998] [[[ 2.28129013]\n",
" [ 2.71597487]]]\n"
]
}
],
"source": [
"print(svm_clf.intercept_, svm_clf.coef_)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[-15.51721253] [[ 2.27128546 2.71287145]]\n"
]
}
],
"source": [
"svm_clf2 = SVC(kernel=\"linear\", C=C)\n",
"svm_clf2.fit(X, y.ravel())\n",
"print(svm_clf2.intercept_, svm_clf2.coef_)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"[4, 6, 0.8, 2.8]"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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79pqzpbTe4DsJKG7k8aJAkjkBWOKwp0SeIjo6Wn799deyZMmShoRerVo1+d//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\niqIoimIl/w86XTx9vEX6nQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f95688bc860>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"yr = y.ravel()\n",
"plt.figure(figsize=(12,3.2))\n",
"plt.subplot(121)\n",
"plt.plot(X[:, 0][yr==1], X[:, 1][yr==1], \"g^\", label=\"Iris-Virginica\")\n",
"plt.plot(X[:, 0][yr==0], X[:, 1][yr==0], \"bs\", label=\"Not Iris-Virginica\")\n",
"plot_svc_decision_boundary(svm_clf, 4, 6)\n",
"plt.xlabel(\"Petal length\", fontsize=14)\n",
"plt.ylabel(\"Petal width\", fontsize=14)\n",
"plt.title(\"MyLinearSVC\", fontsize=14)\n",
"plt.axis([4, 6, 0.8, 2.8])\n",
"\n",
"plt.subplot(122)\n",
"plt.plot(X[:, 0][yr==1], X[:, 1][yr==1], \"g^\")\n",
"plt.plot(X[:, 0][yr==0], X[:, 1][yr==0], \"bs\")\n",
"plot_svc_decision_boundary(svm_clf2, 4, 6)\n",
"plt.xlabel(\"Petal length\", fontsize=14)\n",
"plt.title(\"SVC\", fontsize=14)\n",
"plt.axis([4, 6, 0.8, 2.8])\n"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[-14.062485 2.24179316 1.79750198]\n"
]
},
{
"data": {
"text/plain": [
"[4, 6, 0.8, 2.8]"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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IkSNp1qwZ69aty9drDTKfBrooiUajweUtFzQajdJS8hWqQVeYIkWKMGvWLPbt20eFChU4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\n+/Z1gBswYIDbunVru48h0bpcJKVJygDSgHRJvSS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"text/plain": [
"<matplotlib.figure.Figure at 0x7f95686baa58>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.linear_model import SGDClassifier\n",
"\n",
"sgd_clf = SGDClassifier(loss=\"hinge\", alpha = 0.017, n_iter = 50, random_state=42)\n",
"sgd_clf.fit(X, y.ravel())\n",
"\n",
"m = len(X)\n",
"t = y * 2 - 1 # -1 if t==0, +1 if t==1\n",
"X_b = np.c_[np.ones((m, 1)), X] # Add bias input x0=1\n",
"X_b_t = X_b * t\n",
"sgd_theta = np.r_[sgd_clf.intercept_[0], sgd_clf.coef_[0]]\n",
"print(sgd_theta)\n",
"support_vectors_idx = (X_b_t.dot(sgd_theta) < 1).ravel()\n",
"sgd_clf.support_vectors_ = X[support_vectors_idx]\n",
"sgd_clf.C = C\n",
"\n",
"plt.figure(figsize=(5.5,3.2))\n",
"plt.plot(X[:, 0][yr==1], X[:, 1][yr==1], \"g^\")\n",
"plt.plot(X[:, 0][yr==0], X[:, 1][yr==0], \"bs\")\n",
"plot_svc_decision_boundary(sgd_clf, 4, 6)\n",
"plt.xlabel(\"Petal length\", fontsize=14)\n",
"plt.ylabel(\"Petal width\", fontsize=14)\n",
"plt.title(\"SGDClassifier\", fontsize=14)\n",
"plt.axis([4, 6, 0.8, 2.8])\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"# Exercise solutions"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"**Coming soon**"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"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": "3.5.2+"
},
"nav_menu": {},
"toc": {
"navigate_menu": true,
"number_sections": true,
"sideBar": true,
"threshold": 6,
"toc_cell": false,
"toc_section_display": "block",
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 0
}