{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "An example showing that the intersection of (any number of) convex sets is convex.\n", "\n", "https://www.youtube.com/watch?v=KaAjiLQDNgQ&t=2254s" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "x1s = np.arange(-2, 2, 0.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$p(t) = x_1 \\cos(t) + x_2 \\cos(2t)$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "so\n", "\n", "$$x_2 = \\frac{p(t) - x1 \\cos(t)}{\\cos(2t)}$$" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def f_pos(x1, t):\n", " \"\"\"when p(t) = 1\"\"\"\n", " return (1 - x1 * np.cos(t)) / np.cos(2 * t)\n", "\n", "\n", "def f_neg(x1, t):\n", " \"\"\"when p(t) = -1\"\"\"\n", " return (- 1 - x1 * np.cos(t)) / np.cos(2 * t)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "t_vals = np.arange(-np.pi / 3, np.pi / 3, 0.05)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAcYAAAEKCAYAAACISPXmAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/Il7ecAAAACXBIWXMAAAsTAAALEwEAmpwYAAD9RklEQVR4nOxdd3wUxft+9i49IdQkdEILvaM0AakCKk26ooJSrT8RBQRRUbGioigqKiqIWEEp0gwoVXrvvQcIgYT0u/f3x5PJ3F2uJSSAfu/5fPZzt7uzs7Ozs/PO2w0RgQ8++OCDDz74QJhudgN88MEHH3zw4VaCjzD64IMPPvjggw18hNEHH3zwwQcfbOAjjD744IMPPvhgAx9h9MEHH3zwwQcb+AijDz744IMPPtjgphFGwzDKGYYRaxjGHsMwdhuG8ZSTMoZhGFMNwzhkGMYOwzAa3oy2+uCDDz748L8Dv5t470wAo0Rki2EYhQBsNgxjmYjssSnTGUDVrK0JgE+yfn3wwQcffPChQHDTOEYROSsiW7L+JwLYC6CMQ7FuAL4RYj2AIoZhlLrBTfXBBx988OF/CDeTY8yGYRjRABoA2OBwqgyAkzb7p7KOnXVSx1AAQwEgODi4Ubly5fLUFqvVCpOJ6wVTRgZCjx6FNSAApowMJFWqBDGbPdbhf+UKgs6fhzUgAGIyIbl8ea/vH3DpEgIvXYIlOBgQsbvWtm2u4JeUhOAzZ5BerBgC4uPZZr/cv+aQkydhWK2w+vnBnJaGpEqVnJa7csUf588H5TgeFpaBpCR/1mVKQRU5iISACESkncFBVAHCQxAVlQrDAC5fDsCFC4EAgMBAK8qUSYafn2Q9s4EzZ4KQnMxnKFIkHZElUhF68gSMjAykFyuGwIsXcdm/BI5kVAAAhIZmolSpVJhMqg7db+npJpw8GQKLxQAARESkoWjR9Ox2mzIyEHzqFEyZmdl9mA5/HJCqSEMQQkMzUbp0CgzDff9lZppw4kQIrFY+Q6FCmShVKgUAYFitCLxwAf5XrsASEIDUUqVgDQx02q9BQRakpppRsmQqwsMz3N/UAVargWPHQm36wUB09LXsfc/X24+3+PgAXLwYiFKlUnD2bDCKFUtHiRJpuWqTMxw/HgrDEEREpOHkyRCUKpWKQoXcP6s334LCqVPBsFhMqFDhGo4eDUVQkDX7XeQ3Dh8OQ2hoBkqWTMOpU8GwWg2UL59cIPdSEDFw6FAYihRJR0SE+/fhrt8OHDhwUUQiCqKN/zqIyE3dAIQB2Aygp5NzCwDcYbO/AkBjT3U2atRI8orY2Fj7A4MGiQQEiAAiEyZ4V8mFCyJms8idd/K606e9b8DcubymRw+RqCj3bXOG2bN5/dNP8zc11ft7KyQlifj7i/zf/4mEhIiMHOm2+MmTIqVLXxNA7LbGjUVKlkgTQKSU/wVJKxIpcbXbSFCgVQCRihVFDh9mHf/8I1K8OK8LDxexfdTMTJHnn9f1tozcJxdRTOTtt9nODh3Emp4hEyfqMnXripw65bzfjh0TqVJFxGRi2bFjRaxWEdm1S6R0aZEiRUSefZYFbrtNLu8/L40a8ZUCIt26iaSlee7GnTtFChcWiYzkdaNHi8jatSKVK4sYhshzz8nKJUucXmu1ijz0EK+rXVskNFRk717P93TEggWs45FH+Pvss95f69hviYl8R3ffLXLffXy2K1dy3yZHTJ7Mth05wr7q2zf3bXOHJ54QCQtjn7ZvL3L77XlvqycEBYn063dcREQaNmRfFTSWLmX/LVrkuay7fgOwSW4yPbhVtpt7c8AfwBIAz7g4/ymA/jb7+wGU8lRvvhLGgwc5QVapwgnz6lXvKmrXTqRCBXbxJ59434CtW3lNv378vXbNdducYfp0XjdkCGfTvGDRItbx2mv8XbjQ4yUrVsTKCy9IDuIYZk6WduYV8iImigDyxn3/yLFjIjVr8ry/v8g3WcLyixdF7riDxw1DZNKkLIKVhR9/FAnwyxDAKo1C9kh68SgSmUuXssvMmiXi58fro6JEtm1z3m9xcZy4DIP3G9rtnGQWKS5SsiT7DhDp0oWLBBGJjxc74tijh0h6uueujI3lM5YqycXAR8ZjHBerVmWdz9k2hWvXSOCLFCFBqlXLbjh4jX79uLbr1Yvt37bNu+uctU0NiW+/5e8bb+S+PY44cIB1vfceCXh4uOeFR24I44cfsv4zZ/hqIyKuq7kukZHB+wwadERE+JoHDiyYe9li9GiOsayh6hY+wniLE0YABoBvALzvpszdABZnlW0K4B9v6s5XwijC0R0YyO56+23vKvrkE5YvX16kUyfvG5CUxOt69+bv7t3u2+aId97hdQMG8N55wTPP8HlHjBAJDhZJTvZ4iWrbrl0iJUpIFmG0CmCVSJyVa+Yw+cnUWwDSskOHRJ58UrIJaJ8+IikpIhYLGXN1vF07kcuXs26yfr3s8GsgFQNOyD9oLFdQSJa8tztHW/7+m9yMycTmT5683Wmbr14VadtW36tf6HzJ7H4fdx59lDOdDeLjSUwVcezVK0cRp5g75RS5ZpwWk2GRed95v9g5cICEIiaGRPzhhz3fzxHnzokULSrSpAmJQtOm7GdPcNa2K1dIqLt3F+nQgYsPL4aHR9SrJ9Kihchvv7FvXTDSbtvmCkuWsM6VK0Vef53/vSEiucXly6z7sccOiohIoUIU3BQ0GjQQad3au7I+wnjrE8Y7AAiAHQC2ZW1dAAwHMDyrjAFgGoDDAHZ6I0aVgiCM+/ZxVqpQQaRUKc7gnnDuHK9p1ozL9dzInMqWJTEFKAtz1zZHKHni3XeL1K/v/T1tUbeuSJs2IpUqeS0Lsm1bWprIAw8owigyFY9JBszSrMQBqVFDsjnFL77gpBUaymNlymhx4bJl+nhUlMi2Py+xXypUkNSuvcUCQ+7BbwKIjBuXc6I/dIgEmNynVaZNc97u1G/mSi/jRwlFoizGXSKApI57yZ5VtcGlS5yIFHHs29cNcbRaya4EBcl7IeMEoKgwOFhk/fqc/eYKv/zCezVqxN8vv/R4SQ58+SWvffhh8VqI4aptL73EOj7/nL8ff5z79jhi0iTWdfCgV9L7XBHGo0dZ96efisyZw/+7dl1Xc53ixAnJElfvk7Q0/n/llfy/jy3i4nifSZO8K+8jjN5tN834RkRWZxE+d2UEwGM3pkVuUK0a0LcvMG8ekJoKfP01MGyY+2uiooBWrYDjx4H0dOCPP4A+fby7X0wMcP48/x87lru2JiUBoaHA5ctA8eK5uxbgfXfsAP7v/4DYWODZZ3NdRUAA8O1j6zF41hg8bp6O4ZZP8RmGYt3FqjDFA+3bAytWAI88AnTqBOzaBdx3H7BlC1C7NjBtGrt3/36gc2dg506gUdvC+MR8N4Y8HoTADz6A5ZVXUfXyvcB7wOuvA5s2AT/+CISHsw2VKwMbNwLdugF//23gsceAgweBd94Bsu2npk1D4BNP4Pvbm+LUoddR5tIODMHn2LniUSwaBRQrlvPZihUDli/nM+zYAcydy/q++camXgA4cwYYPBhYsgTo3BlPf/E4Tr0LvPsu67j3XmDdOu/6s0cPvoZ33gFq1gQeewxo3BioU8f7d/Lww8CsWcDPPwMtWgBjxgDduwMlS3pfh8KTTwJTpnBIN20KvPUWMGQIkAcbr2z06gVMmMA6O3YE5s8HPvoIHo2cvEH58kBgIHDgANC7N48dPQrUqnX9ddsiKYm/wcGZuHyZ//PyCeYGf/7J3w4dCqb+zZs3R/r5+c0AUBv/nYAwVgC7MjMzH23UqFGc0xI3mzIXxJbvHKMIl5gAjTMqVfJOhqaUG0WLUrTpLYYPpywwKEhk1CjPbbPFsGFksapXpzg2t1DGO089xd/jx726LEfbOnYUKVFC0rv1kmRTiEThrJ3usUYNbWxTtCg5qLFj9fl77qG4Kz1dZHj9dQKI3IXFYjFMktmzdzZHN3s2uU9lzLN/v30z0tJEOnU6Y19volVz1m3bikRHizUkRL7tt0AAimBr1tTGO87gyDkOHEgjIRGhMrRYMbKGH3+c3VaLRauOw8JEqlYVmTdvtVf9m5Eh0qoVqyxRQqRaNe/V3QoHD3JItW9PIUa/fu7Luxtv48fzOdQQ//bb3LXFGWrVokhw5kzWuXFj3trmDLVri9x7r8j586x76tTraqpT/PMP63799e2yZw//z5mT//exxaOPcqrwZjoSyT3HuG3btt/OnTt30GKxbBaRTf+FzWKxbD537tyhbdu2/eb4vGr7r6wACh61anFZe/kycOQI2RNP6NmTS96KFYFFi4AML83tY2KAK1eAcuW4tM0NEhOBsDDg0iXnLI8nLFsGFC0KbN9O9i0XribZWL0aWLoUuP9++M//CcHjnsHb35S046j27gWuXQNuu41d2qwZj69cSa5vwQJyffumLccn25phUbNX8D36YYfUQf2tX+HIUbISAwYAGzaQQT96FKhfH1i8WN8nIAB47rn9eOMN7i9YIGgRfRpnXv4M6NKFz5mUBCM2Fg/MuRsffABYreRWmzcHDh1y/oiKc6xTh5zit98CQx5Kh3XgQ2RLKlcGtm0DRozIZntMJmDmTKBNGyAlhcKAF16ojRQvPAf8/IDvv2ffBAWR+x0+nOTeW1SpArz0EtvdowfrW7LE++tt8fTTHGZr1vDTeOMN9tv1oFcv4K+/OCZMJnKN+YWYGHKMERFASEjuBTHeIDGRv8HBFly6xP95+QS9hQg/17ZtOT7eeQfo2hXIzMzX29SOiIi4avLWx+dfAJPJJBEREVdALth5mRvYnn8/xo/njBYRAUye7HlWKl2acqtLl4CEBH713qBaNf4WL557wpiUxBkrPj73chwRzpqtWpG43X137q5XmDCBMrodO4ASJYDRozFwIHD6NFC9ui6Wmkpx52238cOePBl4/HESuhYtKNWt/39tMK3Mq+gU/x3Civrj8bLzsetoKGrVomQbABo0oDi2aVO+ni5dKF5Vr8cwgOefB36ckwF/UyZ2XCqNsYFTYP0zFihSBFi7Frj9dgAUE86ezetOnyZx3LbN+WPaEUeT4KvZARg2uyWsL75EihETk+OawEDg118pEjWbgT17wvHAA4DF4rlbS5Wi6PbsWaBGDeC774BPP/XmhWg88wwXD6tWkVCOHAmvCLMjihenSHfuXOChh4Ddu4Hff899Pbbo1YvvbNUq4I478p8wHj7Mfo6Ozv1n5Q2UKDUkxIL4eP4vSFHq4cPU1LRvz/2ffuI3cz0ibScw/ZeIokLWM7mkfz7CaIstWxBw8aLr8/XqUWl17RoVXwsXeq6zVy+O3qAgPZN7gppQg4PzxjEGB3MGyO1y9cAB4NQpIDKSy868EMbYWLJ9PXrw/4QJ2Yq/qChgzx7g1VftdUcbN5KWV6hAAle/PvDU0BS8GvE+DFhR4fQ6WA4cRtqsn7B0fwXcdx+Jao8e5FwyM0l///6bkzUAvPAC9ZbJyrf62jX0mnkvVltb4Gn/afgy7X5sTa+FP19dC1StavcIAwaQY/X3JzfbqhXrdobiYWlY3mIialm3w4xMzJBH8VjcRIifv8suKlyYXG1EBLmLX37xXpXbujUXELt3c5Hx1FPUzXoLf39gxgwgLo7XHznC95EXPPMMh9r27RSKeLNWdIdatdimn37iZ7ZzJ9uXH6hWjePk6FG2tSAI443mGJct42/79sCFC8A//+R9LeuDPXyEUSFrBqzy0Ufuy02YwNm2SBHvZoKePflbsSKXwN7MHNHRetmXkMDNWyQlkS0Bcr9cVV9afDzFqUq+6S1E2D+lS9OypGLFHEZKhkGitX8/6a/C5cvAiRPkHtPSBH0eCsaOC6VwrP1Q3IOFeEKmovzA1ti9mxPnJ59Q3PbBB0CTJnql/NFHFFeazeTMGjYELh7K4OyxdCluv7ckpmQ8ib9DO6G1NRYd7o/E9Ok5H6VTJxo2hIbydXfo4GQdtGMHcNttKD7tFax4aBZq1jJgNgPTp5PzdPeqy5ShoYlhCIoUAd5/n5s3ePZZGs4cPEgi27s3Je/eolEjLigWLADuugt4+20S2twiMpLi3DlzyDVu2MA1UV5hGFxHrlxJjhHIP65RrTUPHCg4wnijOcbly6npqFqVCy0RH2HML/gIo0LRokDXrohctYr6QFdo1IiyuowMiuBcsRIK5cpRxnftGnDypGu5nC38/KijUuxObhQiSUlkC4DcL1eXLydR/vtvUobcymSWLqUI8a67+JyvvqqJtAOqVqWo8tFH9TERco/li1xFODjTl10+E3E9huFQ+xGIjycRfO010ttNm8h1bdlCjmD1atbz0EPA+vWclPbvFwwa2gyrNoVSuff778DgwWh4Yj6atQ+D1Uo14KhROXVkzZrxcSIiyG1065YlZrVYqNC57TayXgsWoMTMd/DnSnO2iPSjj2jY64441qwJvP76LiQn81U98wytRj3BMEj8o6NZ/4kTtPDNDbf2yiu8/tAhoFAhEri86AiffZZ63CNHKBGYPDn3ddiiVy+2Q6m4C4owXrmCbMvR/IK2SiVhNJvZtwUBi4ULt/btOR4WLqT2okGDgrnf/xp8hFHh8mVg0SJYAgMpj8uWwTnBhAkkdGFh3s0EvXpx9jIM77/0atUAJdbNzfI2MZGsFJA7wpiZSdFn/fqc7HO79BQBXnyRC4E//2Q9/fq5vcTPD/j8cxKf0NDsinAioTCqYT9mGoPwF1qi/LypaNcOeO89duH48UDLlpzgDhwA7ryTE12rVpqJb9wY2P3bYTTy3wER4FpmAPDnn5AJLwIzZiC8mB8WLyZBAOh+0L17ztdeqxaJrCJCDzwAfFT9I2D0aC6Qdu7M7qsSJfjoijh+8AEJhzuCVbfuFXz3HZn0IkVY/9q1nru7cGES0aQkiqB//hn48EPP1ymEhlI/efgw9airVwNffeX99QqlSgFDh1Lf+fDDFDps2pT7ehTq1qXu88cflasNssWS14Pixbn2PXCA7xLIf65RiVKDgizZtm/54W7iDJs3U5DUoQPX6EuWcDh6GT72X4X9+/cHVKxYsVbXrl0rVqpUqVanTp0qJSYmmubPn1+oRo0aNWNiYmr27t07OiUlxQCAkSNHlqlcuXKtmJiYmkOHDi2bp5u6Mlf9N295dteYMUP7Czz/vPuyHTtqD/TNm92XVR7G0dEM8eENnn1Wx2h9910R8dJEvUgRHRxgzx7v7iXCGJ4qnIvJxPhsucAOFVJE+SN4Cl3igGvXRO66M0UAkQicl+MoJ8dRTppXOZ/tEtGkicjq1fRGAWimvno1vSFeflm/ug4dRK6s3CISESFpxaLkYFgtyYRJHsVncv/99uFjrVaR99/X19avL3L2bM72xZ23SsMKFwSwCCDyUrctYrU4DwJw4QLdA1S7n3vOZbyA7Hc6dap+puLFc7qduMJXX/G6KlXotqICB3iLBx5gOxs2pNvM+fM52+YJp05xqD78MIdfz565a4Mjxoxhm1QM0K+/zlkmt+4aIoz406aNyJYtrPfnn6+vnY4YNYpTQmxsrPTuTY+pgoIKzXf+PCP6ePs8eXDXOCZZbg6DBsn5226TxPzcBg2S8+LBvWLfvn07AMiSJUv2isimXr16XRw9evTpqKio9O3bt+8UkU3du3e/+PLLL584e/bs1goVKqRaLJZNIrLpwoULW13Vm/VsPncNjxg8GJfr16co8t13yQ24guIag4KQ7QvgCtHRZGEyMykj8kY0GhPDwACFCnm/tBXhslXJxHLDMS5fzuXtoUMU/eZGOSKC6K++4nMuXw60a5drj+MQv3T8kdEeP/v1wS+4DyVwEd0xD2sPRSIoiGKiDRsopf3sM3ITV66Qc5wwgVzkypXsrmXLBNXalMIBVEVAaAAqZhzC8sfn40vTEMyeTQPUM2d4X8OgActvv1Hqu3079ZK7dtk07tIlRDzWByuPV0SbcFq6vDS/AZ562nAqflScY40a5Bzfeovtc8c5PvEE8NxzfKaUFAY2iHPuemyHhx+mc/2hQ+SI+vRBtn7LG7z3Hq/LyCD3mYd4DihThqLc2bPJ8f76K7BvX+7rUejVi6LCEydYt7c2a56gXDYqVuR+QXCMYWH8n1dvKW+xbBmFMpGR2lCsoJz8bwWULFkyvWPHjtcAYODAgZdWrVpVqGzZsml169ZNA4CHH3740urVqwsVL17cEhgYaO3bt2/0119/XSQsLCxvTkSuKOa/ebseB//1337L5W9AAMO5uQsq2aYNl4iG4XmJ/8Ybmi354APPDVHLwIoV6ZUuXqySU1J4Tfv2/PUmyrVCy5YMBQdwOZobqJhl3bqJR89sV1CBU9u1EwFkdPnvs7vLNiiA+v/oowzx5efH/caNyamd/WKh1McWuQ0bJA4lJCWshGzKige3fj25IhVUYN06+yZs3cpYoobBsGRLlojI4sUMA+jvLzJ5sqRey5T77tPtuP9+190cF0endcU5TpyYs4ztO7VYWB/A4Xf77d7F9ExJIccXFsZm3nOPd7FQFVRA8I4d+btiRc62ecLx47z34MEMQpCXmK4KViuFK507M1xvSEjOeKx54RhffZXPl5hIzvaxx/LeRmcYMICce2xsrNSvz4ACBYGkJI4PlSmlRg1+Nt7gejjGm7Xt27dvR6lSpdLU/vz58/e3b9/+cqNGjRLVsXnz5u3v0KHDZRHZlJycvPn7778/2KtXr4tNmjS56qpeH8eYC6SULUsv6PR0WlbOmOG68Isvkmv08yNb4A69evE3Kso7PaPyZQwL835pq7T/mZlknZQRjjfXrVvH5TmQO/2i1QpMnIjk0qW5jO3bl9xxbvDdd8DUqfRUXrECGDsWbx7ri3fftdfR7N3LFXJwMF/L669Tt1KuHPVa0WUzsPuRKdgUcz/+9muDqwhHnaS1GPNrT6Sl0XBn92563Vy+TMvHL77Q9devT5uhWrWA5GRB57us+KzzL2SpNmwAxoxBYIgZc+dqY9vZs6mbdOYLGBFBzrF6dXKOL78MTJrkuhtMJuDLL8lwZ2bymQYM8OzjGBRES10/Pw6vBQso8PAW999PTnzNGuorR4ygO0xuUL48jZ5mzQL69+fv8eO5q0NBWacuX84hkZzMYXG9UAY4hw4VjC+jLccYH19wHOPff3N66tCBz7B3L3DPPQVzr1sFZ8+eDVi+fHkoAMyePbtYw4YNr50+fTpg165dgQDwzTffFG/ZsmXilStXTPHx8ea+fftemT59+sl9+/aF5OV+PsLoDM8+S69thk3RcUsd0bo1Z9eAAAbLPHXKdZ2VK9NkzGymB7Mnk7ioKBI3s5mj350cTkFp/9PTc/dVrlrFmTgxEShblhYQ3uKnn4CdO5FaqhTvm1unuJ07KQusU4cBEO6+G5g0CYZBK80jR+j9oRAXx9tUqMCJ9667aAfTv95uXEvzx/foA+PgfgTUq4GDM9fiZGBVLF9eEnXqsHypUvT3evBBEpxHH6XxiApKVLo0sH7aZnQJWQUrTBiGzzC64zZY62lzP7OZ7iITJnB/0SJOUs68aiIjSRyrVeN1L75Igu4KAQHAL7+wO/z8KOL15PoBUDz47bccghUrAmPHaitdTzAMPo8Ih92BA561A84wdqw9Ec8NcXZE7958J1eu8DPID+tUtdYsKJcNFVsDKFhR6vLlHCd33KFdiP7rbhrR0dGpH374YWSlSpVqJSQk+I0fPz5u+vTpx3r37l05JiampslkwrPPPnshISHB3KlTp6oxMTE1mzVrVm3SpEknPdfuBK5YyX/zli+xUjdsoEzNZKJ8yxWUhYDJ5DnHjNKYextcslEjBsXM0rJ7FB/t2MGyDRty8xZPP03ZTKFCIkOHen9dZiblOFWqiNVkyr1sKiGBsqeICMYWrV6dxxxgsTDZrKNotXx5Zs4ARNpjiWwt00UEkIXoLLfVSJSzZ5n8tlSpZAEYJ9QmWYlMm6aTFd92m8iFsxm04jGbJbNMeXm657Hse3Xr5jy9kjKaMQwa3Jw75/xRz59n/FUlVn3zTR539U5Pn+bzhYSw/Ftvedel48axfGQkw/rGxXl3nQhtvACR5s05HL7+OpeWPEIRalAQs44EB+fu/rawWkXKlaM4sk8fPk92LFrJmyj12jU+3yuvMLNacLBro6i84LbbKP5dsmSlABTdFgTq1aMWR4R2dlWren/tv1WUWqVKlZT8rtcnSs0Lbr+dVhlWK+VlyvndEe3b01glOJhWIe4i5yhxani4d0vgmBjNWXqzvFUco3KM8xbLl9NpLDExd0vPOXMox4mIgDUgQLNQ3sBqpezt6FH6Hlgs7JPChXMUNZkoad20yd4v7MQJIMDIQAmcR1/8gPqnF+FYm0F4ptJ8bNwbhkqVKDqdOXMj+vWjePCeeygQsFgYDu2vv/g6Nm4U1Cx3Fdsm/gL07Qvzzm147+cK+OQT7WWjwtTZ4oknKAk2DEb1adbMuW1VZCS9YWJiyDk+/zxdRFyhdGkGAAgIIBfy3HMMv+YJr7xCUWxCAofiAw9475/45JN0092/n8P5/fdjvBJU2GLcOHL0ISHs7w8+yN31CkqcumQJpQJxcZRmXw9CQih2VxxjSop3Bk7eQolSExOpwigIjvH8eRqIdehALU5s7H+fW7wZ8BFGd5g0icqTgADXihfD0BaqycnuncliYigjCwnhrJeW5v7+1arpL9cbS1alY7x2zXur0rNnaYIZEkKzzHbtvLsuM5NKs6pVgXXrcLJPH8rhvMWbb5La1KlDeen33zuNLWqLRo0Y+qprVwDgjG22pmMmBuNRfIFXMAGVYr9A567+eOQRTnz33gt8+GFlfPstfSbNZor4mjUj4WjRXLBn7LeoaezFhcxiuM28BXPumU29Iujn+McfJBRbt9Jidc8e+3b170+Rlr8/xbVNmzqPJONIHEeNAn76qYzL561Rg/rCjAwuCB580HO4XbOZhDoigmuMpUvdi25t4edH3W1CAn0xt24tim+/9e5ahapV2R9z53LC/ugj4OrV3NWh0KsXiazFwrblhzi1IC1Tk5L4nq5eZWCMgoh6o9JMtW/P/2lp/33CWK1atfSDBw/mITZT3uEjjO4QFkYv6PR0ekK7mmE6d+asHRJC1kZxbs7Qqxdw7hy/IjXKXcGWUOSGY0xK8n65qqwaTp6kp7z2tHePb7+lFUNgIBARgZN9+3p3HUDue/x4EsVt20gkO3Xy6tLAQGD+N1fwe60xKIOTiEVbdMIfGIbpmFL4FfgHGHj/fRqSfPUVDVMWLCiDmjXJeWzdSgK1cSNQpbIV61s+izJjH8Tm1qPQ995kZFpMGDCA+k2lL+vYkeVLlaKbx2235TQG6dSJ7iJhYSTezZszMIAjoqLsieO0aVUxbZrr523Rgox5YiLXZ926kUl3h8hI4IcfaABStiwwcaLnoaZQvz456nXrgAoVrmHUqNw72L/wAhclJUpQR/jJJ7m7XqFpU3LOixdzaOaXnvHAAeqogfwljDeCY1TJbxo25GIsLIyBLXzIX/gIoy2cyY06daJpoGEwrIqzWckwaFWRnMzltruUB0qcGhjo+UtXhDE83LsvWHGMV654/1UuW8aQK8ePe7/0TE+nzK5qVXKbL74IS4iXxl/Hj5OlKFuWhjcPPEDWyVucPw/ceSfu2fcujkfejrqmXeiBX/EZhuHKFTYtMpJ+dMOGUVxZocI1HDzIiCr795Oet68bhytXTWi+5m28fe9fCFy+EHPmh+D99/k633uPFpHKoKZWLRLVBg34mjt2zGmw3LQpCUpEBF9F27bOJfCKOFatCphMgscfh9N4rQo9epDzSkoih9C5M9dW7tC8OTnjU6fIuQwY4PkahYkTVURCMxISKPbNDWrUoD/lTz+RoL33Xt4yeJhMDAS/eDE/w/37r88/EuAnlZCg13/5RRhFtPHN1asFQxhFtKWuyUTC2KEDF0w+5C98hFHhyhWgc2dEOpvJ3n+fxAOgSNUZAb33XvoBBAdzNnYlJq1ZkzOH0jO6UwCprA+5JYxWq3dyHPWlqRhZ3hLGr76iaDczE6hUiWad3iA1lQuD1FSyIY0bUy/rbdyso0fJQu3dC4SFwWzJQNCaP9FpWle7UFhxcSROGRnUI5Ytm4zHHyfR7N0beLzBGizcUQavl5oKGAae+70lOt9twrVrVCvHxnKC++svEkS1FoqKIifavTu7eMgQ6v5sX2HNmtSFRUfzMbt0cZ66UxHHMmWSYTZzWH3+uetHf+wxWn2mpJBrvftu/bpd4cknSaAuXiQx6N/fu/RWSl1+4UIQGjWiS4unkMCOeOEFtq9cOa5lZs7M3fUKargEBXH/erlGtdZUSWTyKy9jWhr7tiBFqQcOULDToQPXlKdO/ffFqDcLN5UwGobxpWEYcYZh7HJx/k7DMK4YhrEta3uxwBrj7w/s3Ilq77yTkyuMiCBxzMyka8PXXztrLHWNKSnU2zkro9CrF2erc+coo3OF8HDK7/z8cidKBbxbru7dy1k2PZ3EulIlz9ekpdElo0oVtum117xfsj75pLagCQtjiJTgYO+u3blTW78YBp9v7VqgaVOMHElDHNucyhcuUFTJZLoRmDsX+Gz0AYQa1/DN4RaoVjgO/WKH4++/DYSH08gjJoZd0ro1dYQxMeyeBg30hBwczLikY8dy/+23mUDFliOqUIFi1Hr1OGT69nVO9EqWBN5/fzsqV2Zbhw6lH6MrvPYa9YwZGeRe+/Z1n5TWMMjVxsRQQLFyJV10vUHbtkCnTmezRcjDhnGYeIs6ddgv8+ZR9PzWW3lLoNuiBRcRK1dSfJhfhPHgwfx12VCfXkFyjMuX87ddO+2m0aVL/t7DB+Jmc4wzAXhSLv0tIvWztlcKrCUWCxAcDFNGBmVX167Znx84kBpvs5kKKGfWpz16kGUICqLezNVMoDKyepOmPCaGM+Hx456X+0lJOoqwN8tV9aUdOuT90vPzz7lUTUzkTNWnj3fXffEFr42OpvLrl18oTvUGa9ZQkZKcTApUsyaJoo0OtkwZrv5tQ5plZrJLihROw4ULwPC3K+PJ8K/RMCYRx64URbU6ATh8mI/fsCHXM3XrUn1avjzVnz16cC3QvTvXPeq1vf46GWf1Clu0sLdwjIggx3nnnbxm6FD6BjoKG4oVS8fKlVyTmM30q/zmG+fdoAhdx47cX7SIHLE7y9FChUjIMzNJYF59lcZE3mDEiMMoUYJix717mVAkN5gwgcOkShW+m++/z931APvkvvv4rJ07c8Hhyq3YG0RHcw2c376MinsvVAhITPSDv7/2acwvKOFO5cokjA0bctHiQ/7jphJGEfkLQC4iOxYgsryIrX5+VGaMGGF/3jCoO/Tzo1xq9OicdZhMnA1SU2lp6UyGBnA5HRNDs0FvCOOVK0BGBgI9BcFMTNQyJ2+Wq8uWkW1JT/eOMKakkCJUqsTZ6c03vQvnv3kzZYHly3OG/OQTKsG8waJFXJCYTOyH9u3JPpQsmaOoYZCD27lTS74BQcKVQIQgiWriKyOBsEIYNYrE4qGHSFz+/ptpojIzyZU99BAn5Z9/JkEzDBKVzp31JPjwwzpno9I/2gobChUiEbrvPu6PHcth40jISpWiIKJSJT7mww9npbdyAn9/6u7q19fZSTwleKlVi+XOn6dBzAMPuI9FoRAenompU7lwqFuXRtqHD3u+TqF+fVoQL15MgcQbb+QttVWvXlwTFS3Kvvv999zXoWA2a11zdDQlDd6Ilz3BkWPM78wamZkcax06cF25bp1PjFqQuNkcozdoZhjGdsMwFhuGUatA71SrFvY/9xz/f/ttzjw8lSpxdhSh0sRZVtbevbXsylUiY+WklZBA2/+DB123KSYmeyYOOnvWffuTkrwnjBkZbH+RIiTQLVq4Lw/QQuTsWXLLHTqQSHnCpUukDKGhnIWeeAIYPNjzdQCpQ9euvDY+ntTq9989JrmrXRuIO2dFn/r7s48lIxQWMaNwYeZv/PhjivfCw0loqlala8aCBezCb77h+uX0aRqfLF1KMeqSJdrDBKDYdcsW6tLOnKHaNDZWtyUwEHYh5N59Fxg0KKcwQRHHihVJHB980DWHVagQ1wtlyrD+F15gCDZ3GDCAC4CLFykM6ddPR/txhz596Pt54AAJsScO1RETJnCY16lD8XReiFrLluTAN24kMcsPcariGDMy+I6vF7YcoyKM+YlNm+j20r49F1tW6/8OYdy/f39ApUqVavXr169ClSpVarVo0aJqUlKSsXv37sCWLVtWrVWrVo1GjRpV27p1axAA7N69O7BevXrVY2Jiaj755JOlQ0JCcp2lMpeZaG84tgCoICJJhmF0ATAPQFVnBQ3DGApgKABERUVhZR5TiSc1bYrCXbuizG+/wTp0KDZbrbhWubK+T4MGaFi5MsKOHkXKAw9g45dfQhx0bFG9eqHG668DO3di5xtv4FKzZjnuExYdjcZZM8zhKVNcujsUT09HHbVz7Jjb56p55AgKiyAQwJp9+5DhxgwxfOdONExKQsapU7jcqBH2rFnjsiwAmFJS0HTSJFhKlkTwuXPY1KsXkmzakpSUlLNtFgvqjh2LIqdOAYaBKw0aYEfXrhAv3k2Zn39G1Y8+Qnp4OAIuXcKxgQNx7KGHKFb1gMALF1DtzTcxd9tm9KnxGPoffB8ZmX4ABFeuGAgNzcC1a34YPRpo1+48zp0Lwu7dRVCjhuCppw7g66/j8cwz9XDgQAiqVLHglVd24fbbL+OLL4LwzDP1cOxYEGrWtOLVV3ehcWMGYPjwQz+MGVMX+/aFo107wejR+9G5s+7/vn2Ba9eiMWtWNL7+Gjh48CImTtyD9HT7fps8OQBPP10fZ88G4/77gX379uDOOy84fc5XXgnG4483hIgJgwYZiIvbgYYNE1z2S7duBv78swGOHAnFmjVmDBx4AsOHH3FZPikpCatWrcTAgYFYseI2FCuWhqVLQzFx4h60beu9Z3yTJnWweHE4SpbMxNixGQgP35JrbqpJkxj89lsk7rrrHBYuLI0HH0zJ8zceFFQJBw+WRULCTgD18OuvW1Gv3pU81aWwcWNRAPVw4MAWJCSUh59fAlau3HZdddrim28qwDCiERi4Fp9+WgVFihTFtWtrna7N3cHpd+otBg8uh1278hR71CVq107Gl196DNt24sSJoFmzZh1p3rz58S5dulT65ptvin777bclPvvss+N16tRJ+/PPP0NHjBhRfv369Qcef/zxciNHjowbNmxY/FtvvRWRp3a5ColzozYA0QB2eVn2GIASnspdd0i41FSRBg0Y5ys6WuTqVftCW7boWGKvvJKzkowMkcqVGVereXPncaesVpFKlRiG7Y47XDdo377sGGhHPKUs6NyZccAAtsEdJk7UsdVmznRfVkRnBwkMFOnfP8dpp6GmJkzgNYULM0uINzkerVZ9XdGi7OdPPvF8ncKcOUydEBLC9BtWqyxa9Jc0a2YfTs5kYugyQKRsWWYqMAzu3303I9M98IAuP3o0Q9MlJfG8CgP3xhv69aamsmtsU3o6Zrn44AN9vmVLkYUL/8rxCKdPc/iYzdzc5dlbu5avJDiY3bxzp/vuOX6c+R6LFWMbfvvNdVnbd6pC31WsyHyYly+7v49jGwGRHj34++ef3l+roCIvvvIKf19+2cODuoFKu/rnn94Pf0/46SfWtX27SKVKidK16/XXaYtWrRjlMSODn8WDD+atnusKCTdo0Hm57bbEfN0GDfIqH2P58uVT1f64ceNOjR49+nRgYKC1WrVqyWqrWLFiiohsKly4cGZ6evomEdl06dKlLcHBwRZn9boLCXdLE0YAJQEYWf9vB3BC7bvb8iVW6vHjIuHh7KJevXISt9Gjec7fX+TAgZwVffmlngFXrXJ+s+ee0/FYXQWVTEvj7FiokJy96y73jW/ZkrN84cLuy4mItGghUqYM72+bndYZrlzhTFq2LJ/38OEcRXJ8cL//zmePiGBqru3bPbcpM1Nk+HBeFx5OyjVvnufrRETi45n3B2BG2oMHc7Ttiy/0ekZt6hWbzSRkimBERDD07MyZOrVVkyYily5xKKgJGmBiXhVH1TFpco8eTAtli9mzdTsqV050+upPnSJxNJnYNnfdMG8eX2NgIOOLnj7tvqv++IP3LlaMk+zRo87L2b7TzEx2a+HCbNPw4e7v4YgOHdinkZH8n1ukp7O9/fuzzR07Oskm7SX++ksvCgzDeTqw3GLmTNZ55IhIRESKDBp0/XUqJCbys3v+eZG//+Z95s7NW13/hVipEyZMOPnII4+cK1GiRLqz8vlBGG+2u8YcAOsAVDMM45RhGI8YhjHcMIzhWUV6AdhlGMZ2AFMB9Mt6gQWDU6dgKOVP+fIMHwJQCeXogf3SSyxjsVCB5NisBx7geT8/1xFzlHWq1UrlljMEBFAZEhiIIE8e2omJrM+TguPqVZr3idCWPjLSffmpU6njO3uWijhPbh2HDjGXUbFi9Jv45hvPGTvS0qgImz6dEYT8/Wlt0K2b++sAhqGpW5fva9IkWtJUqZKj2ODB1APaNv/qVXaxCG2Jatakq8KFCzQeiY8HduygDnDDBloEbtpE3dnChdRH/vILy2ZJjPHii4xWYzbTI6V5c9anMGAArw0MBA4fDkXTpvRPs0WZMtQ5Rkezbb16uR4i3brRniktjR5AXbq4D750110cvvHxtKfq08ezK4bZTAOe5GTq6D79lAYg3mLCBPbB7bfT5mvTJu+vBTgcundnH3TqBKxfXzxP7h+ANmY+epT9nB+WqbbGN4mJ+atj/Osv6kLbt+e4MZu1ZfL/KsLDw61ly5ZN//LLL4sCgNVqxbp164IBoH79+kkzZ84sCgBffvllnt7EzbZK7S8ipUTEX0TKisgXIjJdRKZnnf9IRGqJSD0RaSoiawusMZcuAXXrotqbb2oid9ddnOUA+uBt2aLLh4TQBcFqpbXFd9/Z1+fvz7BnmZm02LC9VqFxY1ptBAW5tyioVg2wWDwTxqQktsfTV7lqFQn62bOeNfgJCbQYKVmS1ifjx7svn5xMY5vMTM68EyfSoc1Tu++9l4TN35+Ees0aBjR1h9RUus60b08DnXXr2D4/16rzqCjSbdt45+np7LaQEKZq2rSJjv4Aq3/8cVqd3nUXu6NJE8Zw6NyZFrAqMHXNmjrVU79+pM/h4by2fn1aQip06sRhExxswdGjJBiOUV0UcaxQge3r2ZMWns4wbBgfPSODhLxXL/fGNRMm8HkyM2nU4szI2hG1awNjxrCdxYvznt4Y8AA0oLnzTt6rSBHPlrTO0Ls3CVCFCjRw8ULd7BSRkXwv+emyoYxv/P2B1FRzvhLGZcs4Rag0U3fcYWt1/b+LOXPmHPnqq69KVKtWrWbVqlVr/fzzz0UA4MMPPzz54YcfRsXExNQ8dOhQUFhYWO7tjl2xkv/mLU+i1IsXKa8AqONSsFiY4wWg6NFRuTJwoJZLXbpkfy4tjdeYzSK9ezu/7zPPUDYVHMy8OM7wf/8n4ufH1E6u0sWLiJQsSVlVx47un/WJJ/SzbtrkvuyLL2q5oDN9ahZiY2MpR1SKOZOJckRPqeQvXmSqeiVSbtBA5KwXYrKtW5nHCWC6K1d9J67FR/v3a9Gp2oKD9f8HHqA+Tak7N24UefttrYvs0oW3vXpVpH17/dgffaTvceQI1dQAJcqOTfnyyw0SEcE6Cxd2/jpOnmQdJhPV1kuWOH9Oq5Vpn1T7Bw1yn1bpwgWmtipUiOV/+slzv6WkMBNaZCSv8TYdlojW6d11F593zx7vrxXh51SkCCXm/v4Wj1ne3KFxY4p0H3yQGoLrxbhx/MxPneIzTp9+/XUq1K7N8XX8eO773BH/RlFqbrerV69usVgsm0Rk06effnq4bdu2l52Vu2VFqbcUihcHZs9mzoZJk7SrhslETiYqinbdDzxgLzZ97z06WMXH5wwqGRDAPDwWC8WxtiyDQq9eZAdSUlyntoqJATIzYVitdHlwhcRE75IUL1/O5y1Vis53rnDpElmjEiX4/P/3f+7r/eQT+g0EB5N9+vpr936OJ09y+bt5M/u0fXuySE58FLNhsVDmefvtTMn1xx8MJOptrFYbxMTQKX/gQH1MRbDx9+ejFCpEsdXly7xlaipjCxQuTJeJqlXJeC9ZQrcJq5Uc5sCBfBUVKzJQwB130E2iXTv78GgVKyZj40ZyQVeukLNyNBosW5bcZ/ny5PC6dtWxGWxhGAzl1qkT/3/1FYeyK5QoQVfblBQ+z+DB5KbdISiIItW4OIqVJ070PqzanXeyH3bsYD1vveXddQoqiPqiRUCDBpcxf37uXEdsoYKJV6zIzzo3UX2cQcVJVa7G+cUxnjvHcMTt2/O5gf8dN428Ys2aNSE1atSoGRMTU/Ozzz6L/OCDD7zw2rWHjzDaondvHBo5kv8ffVQTqhIl6IClIvfaJpkrXhzZ6RFmzMjpTjB4MImKYTifCZo0oczMXV4dlXoccC33sVo586aluY96c+oUvdATEqiMcke43nmHX/zFi5wB3YTyCN+9m/LHsDASxvnz3fsb7ttH5dvhwyR2Dz5IBZK7a44e5ew6ZgwVTjt3Uh54HTCbqQL96y/76HQZGaS1hw5R5PnIIyw7YQLFq9u2kVCeOUMR4/ff08V13jxO4LNmUX0bF0ei8+efdNy3WunHOG6cntQrVAD++Ydq0pQUEuJ58+zbWbYs21iuHNt2zz32/pIK/v4kdg0asL0TJ7qPU3r77RzOWTEk0Lu38+xqtmjZkmJU5cv5+OPeESilfz17lgHXZ81yv85zBuX+W7ZsCo4eJdHIC2JieO8yZdj23LbDESrllCKM+RUnVS2AOnTg1FOxIoMl+OAanTp1Stq/f/+eAwcO7Nm0adP+2rVre8jvlxM+wuiA07176wTF997L5S3AWW7qVP4fNco+p1C/fhy5hsEZ1FbxEhTEWdBq5QzsGHLEZNJc4++/Ow/DYZt+ytXyXIWwS011v1xV+ZJSU90vPePi+LyFC9OQ5dFHXZc9fx61Jk4kRUhJIYftzkBn0yayDnFx7KuxYzl7+/s7Ly/C8/Xq8X18+y295vMxSnPLlmSQ77xTH0tOJnHJzKQ6uWVLEqh169iUd95hEPGMDNoaDR7MtcaOHUyXtGMH1zSbNvHRvvySzC5AHRvzDdKhLyKC+slWrVhfz545CVq5cuQcFXHs0sV5fsawMHIX5cvzvkOGuBZGAAzydP/9fHXbtnkWDAB8jpIlKSxZuJAGSN6gfXuuBQ8c4H5uw8x16EACdPkyx0penf1jYjislDr6evWMKuVUfnOMSrhTrRo/3bvvzt+IOl7AarVab+wdbwCynsllHCYfYbTF+fMkUFOm6CCZd96pidnIkZqIdeumE9UZBuVLAQEUlzp+7UOGkOu0WGjI4ghV58WLzk39SpcGQkIghuH6C1baf09WqcuXkzXy93cfueattzhTXrlCq1pXRCszE+jXD/4JCaQkU6a4T3a8YgX7NDGR1378Met39bVfuEBjnkGDmPNSpaoqgNkhOJhc2OzZJIgAX5kIX21sLB+xUydas7ZuzXKLFvHar75ihJfwcDLlrVqRu2nalOcMg4T0l1/Ynb/8Ajz+eMPssLuFCjHCTvfuvOegQTmHiyKOZctS/Nepk/OYB1FRFO8WKsS1V8+ezPzuDCraYa1afI7p03PakjmicGEKSs6coUT+ySe9S0isuMbTp0kgZ8ywt9j1hMBAipI3by6GJk1yctbeQq01VRKc6yWMimNUU0J+rNlEuKBp144LoJSUmyJG3XXhwoXC/yXiaLVajQsXLhQG4FLecKtHvrlxuHQJqFEDNRo0ANq0oWysZUvKuFq25FK6cGEu47dsoRypb1/OZCYT5WFvvgk8/TRt4fv21VxTcDDFf88+y1nnhRdIKBWaN+dMFhfHL/2OO+zbZhhATAyse/fC7IkwAq6/ShESRn9/hoBzJbY8e5Z6u+BgzpYqh6QzjB0LrFzJFdagQQz55go//aRzW5pMDETavbvr8gsXkgO/fJlBUJ95xrvYrNeJAQMoob3jDm0pmp7ObouPJ8G57z4y+JMnU825cSOJz/791L3Nn09C+vzzXCcNHkx3j2nTuOZav54T3sGDYahXj3rFqlU58f/0E71iZszgkLl0iZk11FpAEcc77iCB6diRr9XRiLdqVVqxtm6t8zhu2MDrHREaytfRqBGHxdChwMcfu9fb9ujBbeFCcrDjx2uhijuovN7Hj1Nw8cEHFEN7i169gNmz/VGrFrnwU6e8j0evoAjjpUt8r7cix7hvHxceyk0jJMReonEjkJmZ+ei5c+dmnDt3rjb+O4yUFcCuzMxM12IwV1Y5/+YtT1apFy5ok8QHHqA535UrjE4D0HIyLY1l9+2jeSAg8tpruo7MTJH69Wly166dvUlgUhJN6hytXhUee4xmh5UrOzcl7NtXMgMD6WXtDJs3a3PEBQucl9m5U5d57z3XffHkk9r00l2Ykh9/ZBk/P0moWZOhX1zh009Z1t+fJp5r1rgum5SkHf3r1PEuOIAbuLPEcwerla/X1mpVWZ4CIjVq2Fuc/vGHvVXo88+zjh9/1EbAt92mjZdPnhQpU+Za9vV//WV/73HjdF1DhnB42eL4cTr0m0y8fv1658+xYAHL+PmJ1KrlPmqNeqXBwSIVKya6M/YVEQYTCA+nZadhiPzzj8duFREGJQBoHVq4MD81b5GcLBIcnCG9e7OOadO8v9YWpUuLPPQQP7l+/fJWh0L9+iL33suYHf7+FrfWwN5CRUk6ckSkQgXWf73IrVXq/+p20xtQEFueI99s3y6ZiuA99BBnp9OnGUNLhTFRI37uXB4zDPsZbft2PXM6hqdQYdUKFcoZZi42VrJnwd27c7ZtwgSxAvQfcIZVq/T169Y5LzNlii7jLFqPCGdrf38S/k6dnJcRoa19aCjLlSkjaxxt/RWsVpHXX+c9zWZ+4fv2ua53/XqRqlXZr88+657Yeom8EkaFo0e1e4LaFKELCqJ3jDr+1FMi336ro+U0bUpCtHu3rkNF1RERWbTor2xvILNZ5Jtv7O/9/vu67p499dpM4dgxEiWTSSQsjC4lzvD555JN1Nu2zVmPLZ5+Wt3T6lUEl+nTWb5wYXrbeIpGKMJhUa8e3UUAfhq5Qdu256RECQ4VT95JrnDnnSLNmtEVokmTvNWhUKUK3UgefVSkePHrH7MiJISVK4vs2iX55gLiI4w+wpgn/PP55zqI5uDB/IL37tXc5LPP6sIjRvBY0aL2YdXGjOHxYsUYdFPh6lUdg+ztt+1vnJmpnepefz1nw779VrJnSBV/zBYLFujz+/c7f7guXRhDtGpV1x0wYgRnT8MQ2bbNeZmrV+nM5u/POGT//OP8g7NY6IOpFhD16omcOeO8zvR0xuYymzlbXicxs8X1EkYRPsqQIWJHHBVTDYi0bs2uAOheuXatDltbtCgZ+suXSSizmGyZO5dty8wUGTZM1/XCC/ZCA9sQcm3akKG2hS1xLFSI93KGl17S9xg40LWPY3o6IwaazRYBGN3QU9+0bMl1kidhhC1UfNE6dbjeczasXeGll3YKINK3L4eh7WfmLYYO5Zr30Ue5aLkeREWxvp49RaKjkzxf4AHp6XyXw4aJvPkm++nEieuu1kcYvdxuegMKYssTYbRaRfr3l63vvEOCoIjj0KE8t3o1J21A5OOPeU16Oid7gMHClawrJYUyLnW9LSZN4vESJXIG0Rw2jLNb48Y527dhg2TPas48o7//Xp+/cCHn+bQ0EkWzWVx6Rh87xhnbbKY42VU/9eqlqUIWi5Pjg0tPt4/C3b69a3nZ/v0UVasZOy+znBvkB2FU2LCB3WhLIBV3GBlJzkFxkj//rAOOm0wUjWVmMr6CurZ37xPZMRBsucP77rNnlhcv1tL7hg1zxpI4epSxJEwmrr22bs3ZdquVRMCWALvCqVMiRYqkSUgI14SKw3WFvXtJoEqVIoH0ZhK3WCjaVVxjbkSiixevkpAQHZh8zhzvr1V4913dD0DOBUduEBoqMmoUF0h1617Oe0VZWL2abfrpJwYQr1v3uqsUER9h9Ha76Q0oiC1PhPHgQRGTSayGQSKzdatmAUaM4Kzyww+SzSooPd6pU5RhASLjx+v6Vq6U7BlowwZ9PCFBL60dZSPLl+trHCNBX76szy1cmLP9SlYG5FRGidiLWpctc94Hjzyiw6u4iiz9zju6nlGjsg/bfXDJyeRObdkTZ7I7q5WLjOBgcss//OD8nteJ/CSMIiRYd92lH0+JQRUBbNlSHx8yhBOw4vjuvZfrodmzNUFt1UpL1hct0gSwUSN7Arh2rR46VarkHCJHj5JLVVF0nBGzjAz7V/PZZ66f8913t4phkMhXq5ZT+u8IFVg9MFCke3dvepIEDaAQIzraOzGsCN9pr15cjERE5E1HqOLcK056167c1yFCAg9Q4FGnjkiLFk4WprnESy/xPR4+zLE1dux1VykiPsLo7XbTG1AQW55FqZ9+Sj0eIPLhh0wvpYjjE0+wjCIM/v5aZmVL0GyJzoMP8lhMjP0Xr8KslS1rfzwjgzOaC4VCmjpnG3NM4b33JFvR4wzjx/N8WJhzInXokBahuuIoY2N1mY4d7Qhw9gd3+bLY5XgaO9a5zO7MGabJAkhlPKWEuA7kN2FU+PlnTdwcxas1a2rOsnJlEryiRblfpgy7e/t2kfDwNAHIaamEIDt2aLV26dIsq7Brlz5ne42CLXEsUsR5GqqkJBoBqcwdixY5f77Y2Nhs9bBhUIfmzqgkLY0coBqm3iRGycwk0a1Qgdd8+63na1TblJCkSxdyye70ps6wf79kr2cB1zZrnnD1qmRrR0qXFunc2YW6IBdo0YLvSD3j6tXXXaWI+Aijt9tNb0BBbHkmjN99J7vHjNHL+wkTSBzVEl4RjMcfl2wic+wYj6n8hoUKaT1afLyeJWwDHMbHa1Htd9/Zt+GRRzgLOUkxdbl2bbbNhlPLhhLRVq7s/NmaNOFz9Ozp/PyDD2oLDmei2FOnOCObzbxHfLzd6djYWMY4rVmT7TcM17Kxn35iXcHBXIDkhwmfGxQUYRShdLhOHXHKPSp1LsCunzlT6xj9/cktzZ//tzRqJNmclsqPePasSPXqPB4aynRDCseOafFjkSI5VcFHj5JoGgYZcWeS97g4GlybzWynsxitsbGxYrGI3HOP/iQ8GYCo3IvFi1ObkJjouQ+V+rxcORJWT+F1VduuXuVnpMTVS5d6vs4W6elc2Dz5pGSvhfOC06d13wQFifTtezxvFWXhyhXNJQ4cyHfoTAiUF/gIo48w5g4HD4oYhmSEhlJvpswOhw7lrKGI46hRnMi7dpXsJX18PL/m1q15zNY0T4lf/f1pX68wdqxkc5O2hEEly/PzyyG7OtO5M78YZ8RN5Xa87bac5xISNCvzxRc5z+/dq8+/+mrO82lp1AEqvwAnM+262bM5sxkG++qXX5y3Q3HRjRvzvjcABUkYFZS+ytnWsKH+P2AAX5Xa79LltKSk2Bv2TJjAIXHtmrZ4dbRYjYsjEVEE2JGjOHJEE8cSJZwbAh86pNc6kZE5peeq3+LjKeYMDOSrdWXco6DWjQBj5HuCyuutuEZvOE3Vtu7d+ZwhIfR4yi1iYqjPDQ72rq3OoDjPL76QLPF5znylucFvv0m28KlECZH777+u6uzgI4w+wpg7WCzaWMTfn7ovJQvr2ZN6QkUcn3+ey83Gjblfpw4VT/HxHMkArTFFOMOp1Au2vo0XLuj6fv9dtyM9XessHXRuh4YO5fF69XK2f+RIElNnyYx//VWyZypnmSv69SPRi4x0boEwcqRky9Ns26qwfbukhYfzfHi4c7nPqlWc+UwmzvzusoTkM24EYRQhU12qlNgRRcVplSqlX2u5ciKzZmlD5+rVRc6dE/nqK81tduxIwmix0AVE1Td+vB5CV6/S5ksNWUfV8+HDTLiiiKMzD52NG9kOs5kiTVtBgG2/bd7M4RoYSE7TnX3U1avUEhQtyuffssVz36m83lFRFG54EiKots2aJdl62rJlcy98uOcefr41atCQJy9QLsSKMI4a5cYdyQs8+STfiTJTcBQqXQ98hNFHGHOHtDSRChUkvm5dySYCL76oFUOtWtEpXXGS48ZxBlDL3I4dOYtt3qxnQ0VETp7Uusqff9b3HDVKsjlM2y/6wQd5fweLgp1KXBoenrP9AweSMA4YkPOcCh7QsGHOc7ZO/87kZN98o887cyP5+2+RkBDqZkuXzslNpqZqbrZKFdc+lgWIG0UYRfgabTkmW72jn5+2WvXzo5Vq+fJJ2VzfihUkIioORIUKWsjwySe6nl69tD4tNZWTuyLCs2bZt+fwYRIbw+C6x1ZfqbB4sVYdt2yprWEd+83WF7JnT/dESHE9oaEUYngSBaankytVn5O7uBK2bbtyhQRbcdaesqg54plnKP7s3JlO+nmBImCffcbfl15yotjNBWrU4POMH8++drRAvh74CKOPMOYOR4/qJXzNmnrpPnAgrSUUZ7hypSaOL75IDkzNZMOGsa5p07gfHKzt1qdO5bGiRbWI9Px5XdeqVbotyicxNNSOs9rw1VeSPds6Ltl79OBX9PjjOZ+tcmXdXkeo6ypXzsnFbdumudo+fXLOhAsWZFufJEVH5/RR3LGDduZKJO2NwqkAcCMJo8K2bZpDdNxU/AJApEWLOBk0SJ8bN45iUqW3DA4mwRShjZdaXzVqpLm7zEy63Ko6PvjAvi2HDmniWLIkxayOsB1a/fpxjefYb475Hh3v44g+ffRn5MxezBEqOFLRosyV6A62bbv3Xq7JlDAiN1DBCR580LXdmieoz1V99lOmbM1bRaLzOb79Ngn1HXfkuSqn8BFGH2HMHRITRcLDGXYNoOxJ2cbfcYe2hIiO5gylCNpLL1FXpq576y3OID17cr9GDRIci0XPdra+jcqprWVLfSw1VYtx1awoIiuXLJHsWcnRUU2JaydOtD+uspsC9m4jIqxDnXOMXBMfr+N81amTMxHw11/r2b1VK/nL1qTPYqHSLSCAbEpezf3yCTeDMIpQd3bvvbqLbbnHQoV0rIeSJRmUSA2p5s3JJSh1rGEwMoyKNRERweOlS5MjFOE5pbYGtJ5S4dAhvgrDoFhX2YzZQgkkADL5zvrt2jWudfz9ubkKQyfCNWPhwlw3Firk2fA4NZViZmVY5CqKj4h9277+muXr18+9v19srP4kAffh8lxBuZwoP9QZM7yMi+cEM2eyDvWpT56c56qcwkcYfYQxdzh9WluKql9/fz0LRUdTJgTw2O+/a1v9SZMYFk6JUH/8kb586gsfMoT32L1by6yUBcOZM3pZbWvV0K8fj9lwgLGxsTqciqNxizJtdFzGK8VHsWI5zf3uvpttadzYfha1WLSjXpEi9kZDIvaWJn37iqSl6Q/u+HHJjnHWrRvZn5uMm0UYFRYtyunWoQheyZLJAnAIvPwy1yKKa9q6lRyNGlY9epB4XLjArO5KqGAbdtY26t+wYfav3JY4limT0wnfatUEAhB56innEZQOHiRRDwggIXMn6lPDz89PpHdvz32luK6wMNcG1CL27zQ+np/qnXfyWmccsSsoi9JHHuGvN/pQRygR8+TJ/P3hh7W5ryQLDzzA6UVxsp4CK+QWPsL4LyCMAL4EEAdgl4vzBoCpAA4B2AGgoTf15okwHjokAmg/RkWsAB3FJjxcf32FCtHJSM14kyfrpaPZTLv1gwc1G/Djj7zP889LtjxNKV7UbNSli27P/Pk8FhmZTbRiY2M10Zkyxb79yi/AUcnUty9nwocesj/+zz/6+VautD+nPJ5NppyRrUeP1tc9+6xu259/8t6FC3NW++KLAnfD8BY3mzCK0KbJ1jrVlnssWVITv44d7XWGH35IrqxQIT1szpxhkABXusVvv7XXR9pKyA8e5MRrGBzWp07Zt9OWyzUMq8yf7/x5VBBwk4ntcOViYbVyyCqBirPYFLZISeHaTxk4uzJcdnynnTtrjYe3IelU+0JD9TrU1gTAWygXYuWe/Mcfqzxe46otJUuyLd26sQ/y+xPyEcZ/B2FsBaChG8LYBcDiLALZFMAGb+rNs7uGLWF0JJDqq/P315r+wEAuFxVxfOstHdgwKIjEVqUrCAjgUjY1Vdel4qWePKlnRhXnNCVFzyZZYtPY2FgtenXUJZYsyeO23toWi9Z/OkaVadfOub/k4sX62T/5RB/PzNSyPUfO9NIlOa8WDC1aaPneLYJbgTAqKI5Ib9bsYaVcXkuUoFhUDYmuXcnd1agh2dzUmjU51ym2FquLFuk1Wdu29nFIbYljhQo5RZzXrlE4YhhWCQzMKYFXsHU7sXXTdcSBAxz+hQpR8OIpY4cSSQYGUqfpDI7vVHGmlSpx7ZobNGjAzwFg/I7cQkX8GTWKn31ex5uyg/vkExLr4cPzVI1b+Ajjv4Aw8l0g2g1h/BRAf5v9/QBKeaozT4RRLYGdbYrwKSJjGFqn5+dH7k2VefddnTKpeHGRixc1R1ixIgnj339LNrFUS/aHHpJs0aRC9+6SvRSVrEH90Uc81r69ffsVS2Gr9Nm2TbKJu62xjvLCNgx7Wc2RI1qvqsS/ImyzilJjNtvrI5cuFSldWixmM61W88sTOR9xKxFGEbpmKCGEIoxqU5Jyk4kWkyqufNmyXDMpzsZk0gYtX36piagth7h2rVZVN2xoPwQOHiQBNgwSK0cvngsXREqXviYmE9vgbK2TkUFjbbOZm20QAkcoMSNAoYk7XLtGY6GyZflZOUryRXK+04sX2YZmzfibG0vOfv1IUAsXzpsv5HPPkSAOHsz3l9fxpjhPFfDAmWfU9cJHGL3bDPbHzYNhGNEAFohIbSfnFgB4Q0RWZ+2vAPC8iGxyUnYogKEAEBUV1ej777/PXUOsVtQdNQpFt22DSlWtesYAYDUMmERg9fMDrFaYrFZcqVED4Xv3AoaBYwMHosKsWTCsVhwaORJFN21CiX/+QXKZMtj0+edoNHIkQo8dw/l27bB3/HhUf/VVRK1YgYQGDbB9yhQEnjuHpgMGAADWz52LtIgIlPjrL9SeOBHJZcrgn1mzkJSUhHL79qHe6NFIKVkSG+bMyW5+q/btYbJYsGHWLKSUKQMAKPvDD6jyySe4UqsWtn70UXbZ+k88gcK7duF8+/bY98ILAABTWhoaDRmCkJMnkVi9OrZOnQrx94c5ORn1Ro1C+L59sAQGYsfbb+NKnTowpaai0mefoeyvv+JahQrY/PTTsNavn7s+v0FISkpCWFjYzW6GHUSA6dMr4YcfygF2I85AcHAG0tLMsFpNqFMnAVYrsHt3Efj5WfHCC3tw8WIgPv64CkQMtG9/DmPG7Mfu3eF47rm6SEszo2rVREyZsh1hYZk4ejQETz3VAImJfihTJgVTp25FsWIZAIBTp4Lx+OMNcOWKP0qVSsW0aVtQtGhGdhsPHbJg1KiWSEz0R8mSqfjkk80oXDjT7jni4wPwyCONkJTkj/DwDHzxxSYUKZIBR2RmGhg+vBFOnQpGZqaBzz7bjEqVrrnsnx9+KItPPqkCk0nQrdtpPPnkIbvzzt7p6NF1cfx4CC5cCMKYMXtx113nvXoXX30VjVmzKiA6+hoiI9MwefJOr65TeO+9qli1KgJ16lzBmTPB+OCDlXkab2PG1MGZM8G47bZ4LFhQCvPnr0FQkDXX9biDu2+hTZs2m0Wkcb7e8N+Km02Z4Z5jXADgDpv9FQAae6rzetJObX/1Vft8Qq42JeasXl2Xf+IJLXp9/32deaNFC8qrFDc2cyaX78os8ddfefO+fcWOW7t2TcvDjh3jau/YMcnmNpXcLD1dt8t2qdyqldiJbEW005XtUtxq1feOiNAGMxcuaN1l8eI6T+SmTdpK96mnRJKTbzmuzBa3cttmzlyXPQwcN3W8SBFtHKKGx6pVejjVrs1XdeiQlqiXLq2NUI4d09L7UqXsI9wcOKBjr1apYm8rFRsbK5s302XEMOh47yw1lLI7M5m0O68z/POPZAclb9bMfei3pCRytGXK8P6ONlzO3qnyI4yIcG+44wgVJKBdO3pq5RYDB5LrbtmSwa/yMt7S0vg+R4yg55StuUF+wscxekmXbnoDbhVRahZiY2Op31O+f842RQiVnCoyUhPE++/X/997T89IAwbQ9UIRpf37tf6xSBHOBIcPs24/Px2vtFMnUYQ2NjaWs4kS26rZIj5et0vNNqmpmqgqp3urVVuvPvWUfmil+PL3124gx4/rWTY6moQ9I4MWuH5+fC6bgOm3MvG51duWmUkRqLOhpkSphiEyaJAecjVrUielAgYULkyLyvh46swATrRrswwk4+L0WqZIEftc2Pv36/tUraqHnuq3JUvsLWOdETTbpCuTJrl+XpWeE6Dfojso8ath5EyR5eydxsXpOBahoTmzurmCskO79172b24NXnr0oEdTrVokyHkZbyr5zYcf8jc3KbhyAx9h/G8Qxrthb3zzjzd1XjdhVLC1fXdFHJVrR0iIdobv0kUTx7fe0kv/8ePpwa2W9MnJOr7qo4/ynt26cV+FlFOxVhs21G1T4UGUVYTyVQwN1W3/808eK1lSf+nLlvFYcDCVMiKsQ81633/PY7t36zYr5dShQzprRr9+zoOI36L4t7RtxQq9lrHdAgL0cGrQQBO4kBCqeFVOQrOZ+sb0dMb/VMdUSLGrV8n1qWtt1dG2xLF6dQoenPkKAs6Tr1itbIdhcDi5ilyTmEgvppAQEuhz51z3zdWrbFPJkiT8tuk8Xb3Ttm21y4u37rMJCSyvwh+7a5MztG/PT6NUKX7GeRlvEyaw3159VZSAqEDgI4z/AsIIYA6AswAyAJwC8AiA4QCGZ503AEwDcBjATm/EqCL5SBhFuAxVYeFcbWrWUqkKAH4piuBMmqSJ5hdfaAJz7720vVez4bZtOiJxYCBnhsREcmgmk/yttPHK8MeWkCkiqKDMFVU0HqtVR51+5RX9bMqgSEVQXrtWi4k7dybn+dlnJLpFirgM3PhvIT63GhzblpKiM3A4bsq+KixMT+KGwUn1jTf0Wm3IENpATZigr33xRQ6B1FQthPD3JzeosG+fJo41a4r89pu9NY2atLMEGDmQkKAzdkREOA/LK6Lj5JtMngNk2wYdeOMN1/2m8PHHkr1GtLUf84SoKP1Z5TZqYdOmjNQTEEDDoryMt2bNuGhp25afaUHBRxj/BYSxoLZ8JYwKw4aJ09nK2aZigdWqpYmjSmdlGPRRVATpww+1OVqlSvbO9S+9xHtnuULsHjeO+yrG6muvcX/9eu5Xq6bbq3SDf/zB/YULJVvmdu0aZ04lc2vVivf9/XdN5IcMIdFWTm1t27pNy/5vIj63Ely17csvnau6lV4RoHBBralatCCHpKIaNmpEQjVnjn6lvXuTm8zMpF5MESe1vhIhcVTrwIoVE+0iwVit+jMwDOc+f9u3c11lMlEY4spI+f779afhLl1UQgKHbGQkiZfScbrqt7Nn2baaNblO9CaFlQj1g+pzmDPHu2sUatXSC5U338z9eEtI4DsaPZpr4Oeey939cwMfYfQRxjzB7aDetUtzfp5ErGp5X768ngGUG4e/P10elMXCtm1aPvbGG9QJqlkwJSXbOiBeRTlWgS2Va4dKlNykCfeVztHfn9dbrVpnqnwTR4zgfqlSlFHNmKHb/sorJN4REZzl3nvP4wzzbyQ+twLcte3SJXr4OBtiSs1cvbpWYxcrRiKjJO3Fi3MorV+vCaqSjDv6QNrqtPbuVes2q9Stay/CzMzUayV/f/uoOwq2Ytfx450/W1wc2xsURD2pO32gcpwHyBF66rdWrXSfeMv9PfKITozjLFa+O1SooCNAfv557seb8hRTcTVswybnN3yE0UcY8wSPg9pqJffkjjgqQqhmoxIlNLeorCwKFWIMMHV+82ae9/fnslfpHt99lyJVk0ksfn6UhSk/xAYN2Cb1ZSlTtp9+4r6KQPzLL5JNBDMyKA4FSOQPHNAyMsMg4VQmkPXrczGQH/12E/Fvb9sLLzgfZkpqHxxMjlENvfff51AASEDnzqUaWhGL0qW1Duvtt3V9SkAhQuIYGpqePcxsU4MmJ6sAAOTmnKWzUq67hqGFFo6wTdziLvj3pUsUwhQvTjuwjAz3/abi9fv5efaZVFBxOUqUyJ0IVoQEvk8fXv/LL7kfb489xnf54INckKhUrrlFXJznWK8+wugjjHmC14NaKUo8cY5KX1eokCaOKkpMmTI6ik6bNjrxXsuWlEkBlGtlZGiriYULaTgDkKMT0R7BDz7IffWVfvwxOT1ljfDDD5zxFLvx+++ac/TzI2dYqRLbOGaMzm2Un/12E/BfaNvBg1r6brvZCjBat9Zrsu7dGU9enXv6aXKKKtxvSIjmpmzjwY8cqW21vv56Q3Y0nkaN7JOjXLxIblaFljt/3r69KSkkqCYTh/DJkzmfyWqlbs7Pj+tBJ/mvs6Fs1gAOd3f9puKfVqpEjtobqLVlrVo5Y2d4QkCA9nZauTL3461aNep9IyPt43vkFkOG2IubncFHGH2EMU/I1aBOS9O6PHebIkRBQZxJDENHga5bV7tFTJrEr0MtPRUxnDGDG6CzqQYFcdaxWHQ0nGef5TnlmHbypMjs2fxfpQpnNhUU/YUXdGSdkBCG7TCZuCR3F8IkP/rtBuO/0jaLhV4/7oZYdLTWEZYtSyKi1mYtWpA49u/PfVuL1YULdR29e2uubM8eHaqucWP7PNZHj5JbMgwKFxxDvR09SuNmk4nGJc5yUx85Qo7X35+E3ZWrxIULHKaFC5N4rVjhvt9atNBRhFSURXdQ2osmTah18BZpabxORSTauTN37/TECcleuADkovOCw4f5/pxlnbOFjzD6CGOekKdJVMluvOEg/fw0cVSyrTZt9HEVVj88XGT1av6PihK5fFmshkGZksWilU8nT2olzDvvcDZS3Ghmpia0sbHkRAFtX644UmWtOmiQvUKpoPvtBuG/1ra//3au6lYEMDBQv9KAAA4pNdSiouh5Y2thqlJUrVmjvY/athVZsoTKLlvvnSZN7Ang1q36mi5dchrbqFyFAHWazmDrA/nVV66fe/Ro/RlNmuQ+7YSyZwPcx3FVSE0lAW/enETa28iGly5J9mICILeam3f65Ze8bvhwPltek9E8/DDfg6fUXj7C6COMeUKeJ9H4eOeyLldEUm1qOd6hg2QTRGXd8OCDXIoDInPnylVlQLN+vbYt/+svyr+UjElFYB46VGd+bdRIZ/UoXdo+mk1AABUrjmmsblS/3QD8F9uWlqbXObabEqUCHDqKkDzyiE7MEhBAKfpPP2mL1V69yCXu2qWHZEzM1Wzdoi1xbN7cXly3dKm+74gRObk+Wx3pb7/lfJaMDBoF+fuTA1UBBhxx7hwn/7AwkRo1rrh1xFeuvaVLk3v0BpUq6fgXbgywnd5H+ZKmpOTunfbvz8VK48Zcq+YF+/ez/0eOdC9GFfERRm83Uz5Gl/vfRtGiwOXLwIgRnsuqeQIArlwBAgOBZcuARo2Aq1eBM2eAkBDgm2+Ap59mueeew9kuXfj/00+B2lmhZfftA+Lj+T8iAlAxYu+/Hxgzhv8ffhh4800gIADIyAAOHgTCw4FLl4D27YGdO4EePfKjF3y4QQgIAP76C5g9GzAMfdyaFVrTzw/Ytg2IiuJQ+uIL4Px5Dqf0dODee4GtW4ENG4CwMOCnn4AmTYBy5YDt24GSJYEDB8LQsCFw8SJQsyawbh1QqBCwdi3QsSOQmsp7degAzJzJ/598Arzzjn1bX34ZuPNOtvOBB4Bjx+zP+/mxfRYLP6HRo50/c1QUP69r14C9e8OxcqXr/ilfns8jwvbGxXnu02rVgIQE/j961HN5AEhM5G9GBvs5KMi76wC+q+XLgRYtgE2bgLvv9v5aW7z8Mu+bkcH3lJyct3p8sMHNpswFsd0UjtEW+/c7D2HiblNL96go/irHqPLls/MN7Zw4kSxAiRJadzh8uDbgWb+e7EBgoDY3bN5cy92UGaO/PxU706fnW8K3/yJXdiOQH21LSNCh4ZzpHf38dDaP0FC6I6jh2b499VMqp3apUrRYjYsTKVPmWvYxxUHt2qXddFu3pghS4fXX9b3nzrVvY1wch7ZhkDt0Ztdlm8bKMUWowpkzaohnSocO7vvF1uJ2xgzP/fjUU9oPdOZMz+VFtAtx+/bU6Yp4/06Vfd3gwfxV0Rhzg9272afDhvGderKo9XGMPo7x5iEmBkhLA9q29f4ai4VL6gsXAH9/4LffgOrVgRMngKZNAQAVv/ySdV+8yKU7AOzdS64TIKeZng40aMBlpGEAhw7xmNmsl5INGpCdGDbMnt3w4V+JwoUpBJg0yf54Zqb+PXkSqFKF3NYLLwDDhwORkeRYWremwKJZM+DsWXIdR44An322GQ0b8ljdusD+/UCtWsD69eQyV60CunTh8AIooBg+nP8HDAD+/lu3JSIC+PVXDrctW4BRo3I+x8SJQMWK5CCHDeMn5IhSpYChQ4H0dAPLlpHTcoX77uNv0aLA/Pme+zEmBkhJYRu95RiTkvibkgIUL+7dNQrLlvH33DmgTBmgXr3cXQ8AL70EhIZS+OPnxz704frhI4wFBcMAVqzQo98biFC+oojVsWMkaN9+C0RHI/TkScqkAGDpUv4eP67lOQsX8rdYMX6xERFahqQI78svA2vWcBbw4T+F8eM5ZIoVy3nObOYaqVgxTqAffghUrkxieOoUJ+WXX6bUPTmZ4r1164ph7VqgXTuKGBs2BDZvJnFct47E8c8/KQLMyODw+ugj4J57ONw6d+a6TaFZM2DKFP7/6COKb20REgJ8/jkJ+f79wNtvO3/O55/n8wQEAJMnu+6PihWpnQgI4Gd4zXWWKwD6kyhePPei1GvXnPe7OyxfTvHt339zgZHbNeqOHcCPPwL9+rEvn36aBNaHfMDNZlkLYrvpolRHZGRQs58b0aoyMVRWpdWq8Ve5eZQrR9FoaKiWg0VH81e5hdjWFxXlOhV7PuC/Lq4sKBRE26xWGhg7s/lSBjoqJmqxYjo8nGFQHKpFkFaZMIHDV7kj+Psz2LkIXRNUDIu77tLuGMnJNCYB6IlkGzPVatUBzkND6Z/piEGD2BYVf8IZ7r33dLZb8N69rvvijTf086vsbq6gXCeqVGH0HG+gXIgrV+ZziXj3TlNTKbZVHlPz5nl3P1t0705DqbZt+R49Ofd7aht8otTszccx3gj4+QGHD3OZ7i3S0rjUjYuj2HT/fqSHhwO7dgGlS1M2Vrw4l6rJyRS/Hj9OuUpqqjbuAbiEP3wYuP32/H82H245GAbw5Zc0rAkM1MfVkLBaaa9VqhR/Z88GhgwhFzZuHI16fvkFMJsFkyZRLPrNN8BTT5Ez7NCBHErt2uQcQ0OBJUuA7t3J7QUHcz86mmLCdu20yNEwgK++AipV4rDt3l0b8Si88w65L4uFxja2Q1lhwIATMAy2+c03XfeFEqcGB3sWp5Ypw3L+/rnnGK9ezZ0odd06il+tVn7m7dp5fy1Azn3ePPbfn39SPF6kSO7q8ME1fITxRuLxx/kFhYd7Vz49HTCZsr8+c0qK/Xk/P/4mJ3OGEMkpL5o2Dfj9d85ePvxP4fbbSZCcTbomE3WHSlX9+eeU0hcvzuHy7LPA229vQ3g4xXVNm1KHOXkyJ/PevYHp04E6dTjJh4QAixbRuNliIWFbtYq/e/YA3bppnWehQlShBwQAu3cDTz5p37ZixShqtViojZgzJ2f7S5ZMxcMPc8jPmkVVvDNUqQLUr8/h//vvug3OYDIBVauyzKlTWnfqDorgX76cO1HqsmX8ZPfsYb+HhXl/LUBdYtGitCAuXx4YOTJ31/vgHj7CeKNRqBCNZZSVgico+3uTCeaMDNplnznDY5cv8zc9XZdTMJn41fi+mP9p+PlRl/XjjxwSCmq4JCaSuISGslxQEA1tjhwBxo6th9mzqavbsoX6sPvvJzdqGOTmJk2yJ44LFgC9epGolS8PxMayzj//BB59VHN/tWqxHoBE+bvv7Nvdty91lCYTOVU11G0xdqxWyzu6iNiiVy/aq126RNcNd4iJ4dpVxDWxtYUijJmZueMYly9nPx86lHs3jfXraU7QqRNt6CZNyp2biA+e4SOMNwuffEJTQsX1eYLVCjEMLXcKCNBOVxaL/fLWz48ysrp187XJPvx70asX12PVquU8pwQNRYsCp0/TYKZTJyAtzYSuXYHHHqPl6tmzNJSuVYtiPLMZePFFCkIUcQwO5rm+fUmw6tblJG4yAV9/Dbz6qr7vgAF6fTh4MF1yFQyDHGlAAAna88/nbHflyvSLNAxgxgwadLt6doDt9SROrVZN1+ONODUxkQsCwHuO8fJlWtNGRnI/t4TxxReBEiUoKq9Th4sVH/IXPsJ4M1GlCpU2LVt6VdxQy23DsCeEtkoYk4nL2MKF87GhPvwXEBZG4uPK2vPyZRK2jAzgjz+ABg3iYTJRrBoVRT1kcjLQvDkJ6cqVJFzTptEyUlmrBgcDP/8M9O9P4ti2LXWUACf1b7/V93z/fYo609OBrl3tndPLl6f+UIRcpTNub9w43iMlBfjgA+fPVa0a9aHh4SSMznSWCjExmpt2DETgDElJfF7Ae44xNlbreatVI4H3Fn//TTFsy5bk6t94gwTfh/yFjzDeCvjrL8pWPCD7e3b3ZZ88aW9x4YMPDnj2WXJ/JUrkPKfU2AEBwNatxREdzTXWDz9wUn79dU7qAwbQY2jzZhLcH35gNJwaNUjAgoJ47IEHWP7++zmJA3QJWbGC/wMDSazCwihAGTbMvj2PPQY0bsz13qOPkmjbolo1EmCzmbZtV686f+ZevUj4Dx+mXs8VlMuG2ew9x6jEmN5yjMuXU3S9fXveuMXISGD1anLxnTvn7nofvIOPMN4qaNeOioqyZfNex8iRtFj1wQcPKFmSBs+uVN3p6UBgYCYOHyYxqlKF3ObkySRA/v7Ubb30Eif4EiWoR2zWjAYsijjOmQM89BDXcs89x/tZrTSU3rWL9ypfXvs0zpqldY8ACZTa37tX+0Ha4oUXqE24epUaCmfo3Vv/dydOVYSxSBHvCGNSEvsC8J4wLlvGBUR6OvvBW8TGkktv2JDi3rfe8sXnKCjcVMJoGEYnwzD2G4ZxyDCMMU7OP2wYxgXDMLZlbY/ejHbeMJjN5Pjefz9v10+blq/N8eG/DcMgIdm2TYsDbZGW5oeAAIo3Dx9mwKTERFqRvvgidZI//0xu7J9/gAoVaKRTvz5dNdasIXGcNYs6RIBD9O67qSq/805tR9axo47aMnw4w/cq1KlDQxuAZRwJVs2aJHxmMwmno/G2KlOjBm3f3BHGYsVI5IOCvOcYlZmAN6LUY8docOPnR9HuHXd4vgbgwmLCBC5oVq9mn/u8rwoON40wGoZhBjANQGcANQH0NwyjppOic0WkftY244Y28mbhqae4FHUwNXO7OIyKKtAm+fDfRb16HG533eV4RrJV2SYTg45Xrcr9CRMYraVqVR5v3px6yTp1OPHXrEk/yTVrKC6dOZOiUMMgd9iwIY1qWrXS4s8XXwTatCGHes892kcQYFSfihXJZQ0fnlObMH48uca4OB3Q3BG9evE5//mHRkauEBPDurzlGJW1rzcco9KYHDnCxYDiNj1h6VL2ZbVqJPyvvebddT7kDTeTY7wdwCEROSIi6QC+B9DtJrbn1kJoKL+ABx/0rnyDBgXbHh/+0zCZSNh+/93WrUMvxSwW6h0PHiTXFRrKwADBweT8zp0jsZs2jYYh586RQwsPp1g1MJAi0eHD+X/FCnKYhw/TAjYjg/f98Ufq0E6cQLafIsA14ldfcX/pUmDlygi79tetS2d3s5m6TGf+ir166fp+/911X8TEkODFxXnOVKHcNcLC2D+esHy5jtTorX5RhIuG0qVJHIcM8UV0LGgY4s6QoyBvbBi9AHQSkUez9gcCaCIij9uUeRjAZAAXABwA8H8ictJFfUMBDAWAqKioRt+r9Eu5RFJSEsJy621bUBBBqd9/R5WpU2GyWNxyjJerV8d2VwqWG4Bbqt8c4Gtb7pCWZmD48EY4diwUJI5qjjBgMllhtZpgGIKiRdMRHx+IsLAMNGlyEStWlILJJHj++b34++8IrF4dgcBACz78cCusVuCJJxogI8OMbt1O46mnDuLChUA88khjJCX548474/Dii3tgGMC+fYXw2GMNYLWa8PTT+9Gt29nstr31VgwWLy6FQoXS8d13/yAszJJ97uDBMAwd2hgAMG7cXnTocN7uuUSAgQNvx8WLgahXLwFvvrkTzjB7dnnMmFEJAPDVV/8gOto1dezduxkCAy3IzDTh++/XA3D9Tq1WoGfP5oiISMOhQ4Xw889rUKxYRo5yjli3rjjGjauD6tWv4tixUMyatQHFi3sRfcAJ3I23Nm3abBaRxnmq+L+GmxWLDkAvADNs9gcC+MihTHEAgVn/hwH405u6b7lYqXnB2bNMia5y2qjUUq42P7+b2txbpt+cwNe2vOGJJ/a5HG4q7mrZsvw1m5k+SR0fP54Z0dTQXLFCZONGnQHt8cd5jx07dFjg55/X9/7oI13v5s36+OXLzK8NWGXEiJxtvvtuXlOjhojFkvP82LE6DqtKwuyIn3/Wz7lggfs+Cg8XqViRSaEVXL3TLVskO67qbbe5r1fBahVp0ECkTBndr9cDX6zUWz9W6mkA5Wz2y2Ydy4aIXBIRlXxmBoBGN6htNxe//krHqz//BN59l0qYpUuRXriwa0VGZmZOW3YffLgO9Ox5FnFx2hHdFiIUW546RQtOq5Wi0u7dKVJ89VWKCydM4NDs0IGhfNes4fmPPgKeeYY6ycWLKUZ98036KwI0sFYRdO65R2dWK1KEjv+AgenTqS+0xYsv8pq9e52LS5U4NT2domNnsBVTutMzilCUmpHhneGNrX7RWzHqvHnU4RYpwnu4SuLsQ/7iZhLGjQCqGoZR0TCMAAD9APxmW8AwjFI2u10B7MV/GVev0nyvZ08qYGJjgY8/5tdfqRKSqlShV3D16s6v9zn1+5DPiIgAzp9nSiNHqExmCQkkkoGBXNPVqEGL1V9+IXF67z0Szl69GPFl9WoSx/fe40Tfpo12+h82jITSMGhEU7EifS7799f6wfvuA5o0uQQR6iFt9Ym3306jFpOJBirqGoUGDVinvz+JjjMoh3s/P/eEUQUBT0vzzvBm2TIGKhfxjjBarST0ZcsypuyECd6HWfbh+nDTCKOIZAJ4HMASkOD9ICK7DcN4xTCMrlnFnjQMY7dhGNsBPAng4ZvT2huAv/+meeDXX9Mx6/vvGQrk8GEmlXvgARTbvJnL9/h4XuPoxJSS4n0MVh98yAXee4+Ts6NbhyI8mZkkEOHh9Gs0mZhBY9s2GsNMn85jI0aQ8P31F4nTO+8wwfGAAQweIMKA49u20cBn8WIS3MWL2QaAw37UqP0ICiJn6Bjx5qWXSFQ2bqTfny0Mg64dmZkMVedMyBIczHVpSIj76De5SVKcmspPPCSEBuQNG7ovD9AQadcuEujoaN+nfUNxs2W5BbH9q3SMqalUrhgGczauWSOydat9orvFi0UAsZjNIi+/zON16vA3JERyKIBee+3GPoPc2royX9vyBmdts1pF7rkn55Cz1TsWKsRff3+Rhg35PzhYZNo0HgNERo4UWbdO748bx/qHDuV+eDjzI4qI/PADj5lMOqVobGxsth4yMFDk+HH7dt55J8u3a5fzuf75R7d5+XLnz96xI9vQoIHr/jl0SLdLtd9Vvy1fzrKhocw36QmZmSLVq2sd7qxZnq/xBj4d462vY/Rh1y6gSRMqVx55hEvtxETKg65dY8iQ6dOpuAGwZ9w4HfqjYkX+BgXl5BxfeIEhSHzwIZ9hGBSPLl2aM0anCM8nJpIbzMigw/9tt5GreuIJ4OWXyZF9/DGHcmwsy77+Op33P/mE7htXr9I3MiGBHN6IEeQC775bC0xGjCDnlZYGDB1q35aXX2b5FSsovrVF48YUT5pMrp39Y2LYZneiVMUxWq2eOcbly9lf1655J0adM4eRhtLTKUjq39/zNT7kH3yE8WbAaqVcqHFjhv6YP59WBz/9xOCHGRkM9fHxx/SATksDnngCIadP0wrhrruodzQMbQXhiPXr7fMM+eBDPqJDB/r41aljf1yyRKtKROnnR5FmtWo8N24c1ehFi1JUOGECiYafH/DKKzTamTePxODUKeof09MpLq1bl+mjevbkJ2QyUTdpMjExsq3OsFUroEULfiK2GT0AHuvTh+359VfnoYdjYvgMCQk6iY0jbAMQeNIxLlvGgAf+/uw7d8jMJGEvXZoGTG++6d2nvHMn+9SHfMDNZlkLYrulRaknToi0bUv5SNeuIufPUz71yiuSLd+ZOpXH2rXjfuPGIleuSGZAAOVVGzbweMWKFKUqsaurzVHOVAD4t4kEbxX8F9r22Wfuh59yxyhWTLtrdO4sUro0/9evT3cOPz/uv/qqSEKCFiPefTc/h1OnRMLCeGzw4MPZ958wgcdKlLB3wVDiS8MQ2bvXvs1r1+r2bdmS85n++MP9eZFsDYcAIvPnu+63ixfZhogI56JdR3z5pWSLk9u25bN7QkKCSJUqIqVKiSQmui7nE6X6RKm3Hr77jkvsDRuYQG7ePAZmHDKE5mcmE41unniCMa5WrOBSdOlSYOJEmNPTuVxeT0didOlCblIlhHMW8BKgJUGnTjfkEX3438OQIcxc4SoqYVoaOaX4eJKR8HAa0xQrxpBy27axjgULyDmOH0+R6vr1LLtwIT+JMmW06POrrypi9Wr+f+EFDvGLF3VMVYDprm67jf8nT7ZvU5MmjDsKOBen2uatdCVOteUY3YlSY2P53BcueBajpqeTcy5ViuLkN97wHCjcaqXW5ehRRpO8xeJF/DtxsylzQWy3HMd46ZJIv35cBjZvTq29iEhKCpfOylJh2TIenzdPsrX6W7eSq/TzE6thcNl8++08/9dfks05ms3a6sHdlpGR/88n/w3O52bgv9a2Z5/1PAQBck+ASGQkDVzU/3nzNOf49tsiu3ZpLnPKFN7jxRe5X7iwSFwcj61eLdncoW1AAMX5mc05BSdPPsnydevmfI7MTH3fd991/qyKswNE9uxx3W9Dh2quef9+9/03fTrLBQWJ9OnjvqzC66/r/ouM9HGM+bHd9AYUxHZLEcZlyxi2ws+PMiJFmOLjtcleaKjIpk08vmeP/iI//5zHBg4UAeRsx44iaWkkogEBIidPslzdupRT+fvrsB7uZqXp0/P3GeW/N8HfKPwX23bgAK1QXQ0/k0nsiGNQENeLSnw4axYJmSKGf/6pLV5//ZURberWjRdApEkTHeHmkUdYpkYNEjYRiiHr1ePxxx6zb6daVwIix47lfI6aNfnZqig9jpg6VV9//rzrfqtUiQSrShX3/ZaaSvFxVBTve+CA+/IiIkuXsm9KleI1q1a5L+8jjN5tPlFqQSElhV7RHTpQHrRhA2U+fn5MLdWgAU32ihfnb6NGlEe1a0d5ysCBTEdw+DCjNZvNODJsGB3AMjJojqfCgYSHU/aSkaFTEACuZTDDh7O8Dz4UAKpWpfVlt27OzyvDmQsXOHRTUyk2bdmS4sNHH6Uo1WxmdJydO+neC+ggAa++uhvFi/OzGj+e56ZMoVHP3r3MGQnYG998/jnvqdC8uU7W/JtdaBGiWjX3CYttRalFizovc+QIt/h4z2LUzz+nwdHFi7SyVZlMXOHECVqrFi/OIAgffkijIx+uHz7CWBBQhO6DD6gc2bxZe/Tu3EmiePw4FSPbtuk8N127coTXqkUdJEClgdUKDBmC9GLFSCQBmtVdusT/RYrocB133snfkiWdm9spnDvHWWP79nx+eB984NCaNw9Ytcq5RaXVyjJXr1L/KEIH+GbNSChHjqR+zWzmJ3D1KhMjWyy0VE1K8sPSpax78mRatoaH66TGY8bo1FJ3360TA6sgAQDr7tOH7fj555xtjInhNa4IY1ISry1UyHX6KBUGLjPTPWFMSaHLisoFOWGC67IA++i++2gZfPEiIwb5AgDkH3yEMT9hsfArbdKE3NySJcDUqdooJjaW5y5dohHO5s10qAK4NF69mprzP/5gzKwtW2h54O9PjTwALFrE33vu0Q5dRYsytirAcCOAno0ccjrmQP36nu3HffAhj1DeRvXq5Tyn1m0ZGfzv5wesW8dPIzMTeP55uneYzcDjj5NoDB5MYjBiRENUrMjPC6Cr77lz/O3Uifd85BGeMwwSHYBrVZX/EdCxU//+mwIbWygXk6NHna8xlb+mO8ObZcsYwSc01D03N30618QXLwKjRmnDIFd46ilyzhYLOW3VDz7kD3yEMb9w5AjQujW/5J49yRl27KjPz51LApSSwpG8dq3+or75Ro/s337TxPLxrAxcTzwBREQg+PRpOjYVLQpUqcKvCOCM0SgrvvqhQzTfO3OGS97UVOd+jrZQ3seuHLZ88OE64OdHwchXX7kvl5nJ9eDOnfwERMglPvaYDifXpAnQvj1w5UoAmjWj2LV7d4pu77qLhOLLLxlGbskSHUi8a1d+MsnJzBmp0KqVDoKu1pwKKph4Soq9CFZBJSl25cNosdCwXISffmCg83LXrnE9XaQIY9OOGuW+n778EvjsM3KqUVF0f/YmF6QP3sNHGK8XIsAXX3BJvHMnMGsWXS5sv5Z33wX69eOX0qMHCZGyqd64US9tX3+dciKAS8116/g1vfACAKDY2rU81749l8Fns/LUlSihFRJ79lDGApBQA5oA+/m5fg6rlQRXKWx88CGf8fDD5NZcuXUAFF0GBFDXFh7O9drUqYylajJRZNi7NxAdnYT9+0kMZ80CypUDduwA/u//qD5//33WN2gQCY/JpLnGN98ksQPsxam//GLfFk9ZNpQo1RXHuHUrudDkZPdi1GnTSHgTEjwHCt+8mQuEwoW5kJg/33n2Ex+uEzfb+qcgthtmlXr+vEi3biKASJs2Oe3BLRaRp56SbNO1IUO0uZyIyJkz9Eq29WJW11WvzuMvvJBd/Io69v33PPDYY5JtZXr1Kv+XLElvZoB1VKrE/8pbWpn3uduKFMm1W8d/0bryRuB/tW1jx7ofgsoqNSBAx1O9+25t0fp//7dXSpXi/4ceogeUKvfbb/bWqCNH8p4Wi0iFCjz20Ue6LcuWSbZ1bGqqPm61ag+oOXNyPsNdd/Gavn3tj6t+mzxZP8/p08774epVGpQXKkSvq7Q013128aJI+fI6noeaBnIDn1Wqd9tNb0BBbDeEMP72G22wAwLo6OSYFTU1VeS++/SX8eKL9iEsUlO1u0Z0tMiVK/rcnDk8HhLCzKwiIomJYlWzgnLe6t2b+999x/2gIM4oFgu/NkDkm28km0jaunKoutxtP/+c//12E+BrW95Q0G07epRD1tMwNAxdrnlzNXSt8sEHOhLOK6+IzJ0r2QTu5En6DJpMvH77dt5z9myWiYzUa7/0dE0AFy2yb2Pjxjz++us529+iBYmxY8Jk1W/t2vETdheIfNIk/ZzqM3aGzEwSYrVgGDvWbde6hI8werf5RKm5RVISbam7dqWGfPNmGs7Ymt4lJNDtQpm6TZ3K4IfKfUKEMqEtW2gcs2iRlp+kpwPPPsv/Y8ZQ8QAAy5fDsFqpKImI4DFllarEslFRFNeeOkXjHIBGQKVLMyJxjx6sv3Rpik496R7vu48BKn3woQAQHU2RZlaMfJcQoao8OJiq+Zo1+Sk9/TQl//7+DByVkUGdY2oqo95UrMhIOCIUl1qtQN++OgbpnDms39+fZgFATnFqjRr8tJ2JUq9edZ2kOCWFBj0pKfpTdERCAtNuBQfTUL1vX9d98PLL1JmKsD7H+K8+5C98hDE3WLeOVpwzZgDPPcdA3soaVOHUKaBpU37BJhPDwD3xhH2ZDz/UjlnffMOvT+Gzz2hnXqiQfXbY+fMhAAmygjKjK1SIv9HR/N2/X6cb+OIL2r0DrLdYMRrmREaSiLrTOwLUmxoGk/H54EMB4NdfgTVr3Ic+MwwSmeBgJqWJjKSScOxYfoqGATz4IHWRNWoABw9y7TlxIg159u/n+tRsZgJjgETVauX/fv34+8sv+hhAPaPVSndiRyjrVmfGN6tXcw0q4lq/+N57XLempLgPFL5gAY2QAgPZnlmzfPkBChw3m2UtiC3fRanp6SLjx1MuU6GC6/ASO3cyBIUSWS5enLPM8uVajPnMM/bnrl6lfg8QeeMNfdxqFSlenMeXLtXHo6N5bONG7o8cyf2pUyl7CQlhWy5d0rpMFfHZNqKzN3pHwG2Mqv9lkeD1wNc2jcxMBnFyJ1IFdHi1yEgeMww99AMCGB5OpSmdM0dk/Xp97uxZilBV1J1583jvtDR9jcr5KKLFs+XK5Wyv0lZ8/bX98djYWBk9mu0qUSKnlkWEn2RYGNvUvr3rPjl4kNGAgoMZAs9TSDln93JsmyvAJ0rN3nzrDk/Yt49ex6++ymg0O3Y4d0hatYqhNM6fp2hz5cqcgbuPHKF4UoQ5cd580/78u+9SvlK0qHbVAGjrfukSrGYzcMcd+rhasipRaq1aurzZTOtVEXpaT5zIc7Nn03Y8Pp7nAW1H7ila8Q8/cMnu6PDlgw/5ALOZ8Sa++cb5eRH+pqUBZrMVcXF66H/yCX0S09PJoak6HnyQwpEHH9QBpfz8NNf4/POsNyBAC2Nsnf1VMPEzZyhgscW1a/x1xjEuW8bn6dLFOXf3zjvUyqSna4GOI5KTqf1ISeEzz51rbynriClT+Owq8JUP14GbTZkLYssXjtFqFfnwQ2ryixcX+ekn1xfNnUstvMnEZezOnTnLXL1KAxhV5tw5+/PnzmkLAxUtWSFLQ3+5dm3748oM79Qp7qs8OE2acP+337jftCm53vBwyV4SBwZySdurF4+pHEAqgrOn7bXXnPfbLQhf2/KGm9m2a9f4mbgbgkrwEhSkOcfWrXmsfHkd0LxcOXJoavj//js/B8XxrVjBe/7+u75WISlJ3+/ECX08M1MfX7vWvu2//ro6+9zcuTmfLS6OHKDZzNwCzmC1ijzwgL7H22+77iurVVv51q5tb1nrCB/H6N3m/iQQDqCyk+N18+XmQCcA+wEcAjDGyflAAHOzzm8AEO1NvddNGE+fpgkYwOwXZ864vuC99/hFmky0tz56NGcZi0W7dZhMImvW5CyjZEERESLJyfbnsqxXDz/6qD6WnKy/moQEHtu3j/slSugyfn6855UrOgx/p04k+oBITIx2DalTR7JnGm9ErCVLcoYR3wSfV/ja5h6e3DrU5uenP8NatXisUSOdiKZXL520pmhRfhrqE2jYkPdKTdVi2oMHdRuUFsJWg5KQoO+9b599mydM2CUACZ8yKreFIth+fjrRjiM++kjX/8ADrnMyZmbSC0zdLybGl10jPzZ3RKsPgDMAtgHYDeA2m3NbrvvGgBnAYQCVAAQA2A6gpkOZkQCmZ/3vB2CuN3VfD2Hc9dJLXEoGB4t8/LHrEWmxiIwaJdkEpF49+xD7tpg4UY/yDz/Mef7gQW2H7Xg+Li6bQG2yzYpx+rSuU/lGpqToY2rZ2KoV97/9lrOBSntw6JAmiC+/rI8rF5LChcVuWe5umzfvlphEXcHXtrzhVmnbqVPeuXUo1wyTiQltAJF77tFq+88/1znChw7lJ6KGuVLTq/Xrm2/q+zdtymO2usRTp/R9lfeUQpcuZ8Rk4qfniLNntbDGVdaONWs4HZjNdBdxXCcrpKSI9Oyp29GkiciFC+770kcYr58wbgNQKuv/7QD2AeiRtb/1um8MNAOwxGZ/LICxDmWWAGiW9d8PwEUAhqe680QYExOz0zvJbbe513Knpur8igC/AFs/RFv89JMuN2CAc0Lbty+/5lKlcspBvv6a14aHS+zy5fr4jh08HhBgX75oUR7fvZv7X33F/Tvv5L5agvfowaWuYVAkq6wMAgM1wVSyLEW03WwJ1ap5l2r8JuBWmeCdwdc279G9u8dhmL0Zhhad3n8/981mGuYEBHB/506Rt97Sn7CI5ipttRZDh/LYxIn6mIqhAdjHwrBaRUqUSBGAdTtCxfsIDXW+jj53joIYPz+mn1JaEkdcvcqYIqoNXbtS/OwJPsLo3ebOVt8sImez9JD/GIbRBsACwzDKAfQcuE6UAXDSZv8UgCauyohIpmEYVwAUzyKQdjAMYyiAoQAQFRWFlStX5qoxRkYGGvzzD87174+zgwdDzpyhxt0BfklJqDVhAopu2wYAuNCiBfa+8AKsW7bkKBt6+DAaPvYYDJMJyeXLY8sDD8C6apVdmUL796PR3LkAgP39++PsunV252t+9RUiDAMX6tdHUkpK9nMV3rYNDQBk+Ptjjc2zNi5aFGGXL2PXL7/gYlwc/IoWRQvDgPz1F9YsXgw0b44Wfn4w5s3D+j59UK5HD5T95RckvPoqrvbpg/I//IDkK1dgLlYMgXFxSImMRHBcHCx+fjBnZkIAKBMdNQgMAIX374fVbMbGzz9Hisr0cYsgKSkp1+PhRsHXNu/x1FPAXXeFYcSIhtCeZrZTkZG9L6Iyd1gxe7YJrVpdwF9/ReKee9LxyCPH8cknVdGpUzJmzNiE4ODm+OsvM775ZiOiolLh53cHdu0yMG/eWhQpkgF//7IAquCvv85j5cq9AID9+wsBaISgIAtWr/47uwWnTwfj4kVOYxER/2DlyuTscxcuBOCjj5oCMKF376PYs+c49uzRrbdYDDzzTD2cP18YZrNgwoRtOHjwKg4etO+Hy5f98fzzdXHwYBgAA/feewZPPnkQ//zjeVq+1d7pLQtXFBPAWjjoFwEUArACQNr1UmQAvQDMsNkfCOAjhzK7AJS12T8MoISnuvMsSk1Pd79KPnmSS0klXhw82HXotAsX6Nrh78+wGrZKCwWrlbIdPz9q/B3jQdmG5Pj0U/u2/fwzj5cpY39Nnz6SQxZUvz6PKUsAFUquf39yqEqJ8uOPWpTaq5cOK1KtGn/d6B6ttvsDB7ruw5uAW43zsYWvbbmH1SoSHX3Va85RiVgbNeKxu+5iMmOARi0q+kznzqy/Y0fJFr2KiCxcyP369XUbYmN5rFQp+7Z9/DGPly2bU4AyfDjbUbw4OT5HKM0MIPLFF86f/dgxJjxWU9CkSbkT1Pg4Ri/pk8sTQD0AVZFT7+cPYOB13/hWE6VmweXA2bWL5m3KavO551yPyPR0yjmUCPK335yXW7JEfwlffpnz/MqV+vzhw/Zt+/xzHq9e3f6a8eN5/OGH9bF33rH/8s+fZ9tMJspqVLDIQoUY71UR48mTteWrCjypAjV6MswJCfGs8LhBuFUneBFf2/KK2NhYmTXL/RC0JY4AP13lDjxmDIe/vz/t5YKDWe74ca4PAYZ8E+GaFqDpgYIy+K5Rw75d1FFas+OzKhw75tqMQETkhx90e5980vkz795NMavSPzqbMrzpN1fwEUYvCGN2AXJtz4NyimAAHwJYd903JqE7AqAitPFNLYcyj8He+OYHb+rOd8K4ahU1+Moh3pnywBZPPKFH+fjxzstYLFyCBgSIVK7snPNUXsLR0Tnb9sYbrL9pU/trvviCxxs31scOH+Yxf3+tiHjwQR4bNIj7d9/N/QEDRP7+m/f18+PXp5bdKnCkUt54Exhg8mT3fXUDcKtP8Lcq/g1tS0nRbhfeEEcVTthk0iYFrVtr1XufPvxE/Py4XbvGT1NxnUqo8913Ykc8RWgDp9aNjjFXBw/m9RUq5BQM7dmjXU7uvDPb0NsO69bxszObScQd689tvzmDjzDmjjCGAvgIwLosIjkWgClfbg50AXAgS0T6QtaxVwB0zfofBOBH0F3jHwCVvKk3XwnjDz+QeKmR62mZNmMGu9VkokzGNpuGLVQ0Y4AWo85Qsya/hKFDc7btuefYno4d7a/580/WWaSI/fGKFXlcBQY/dkxbJJw9S+5OiUpXrxZ56SXJlhVNm8b/gYHaRE8Z+WTNOFZ3s1LZsu7TBhQw/g0T/K2If1PblAuEN8RRCUSKFNH2Zd9/z+FtMtHKtGVLHv/lF9ZfsiT3lXvFp59yv1s33YYNGyRr/WmRlBR9/NAhfW/HjBhXrnBdbDJRm3LxYs5n/eMP3bbixbUFrSMuXxb566/c9ZstfIRRb95EvskAkJLFLQYBOCoiVveXeAcRWSQiMSJSWUReyzr2ooj8lvU/VUR6i0gVEbldRI7kx329xgcfMLKv2cyAib/+ygRvrrB2LZOlBQYyQON33zkP1J2WxhyLQUFA9epA//45yxw7xtyKFouOUGOL+HjW7Zi8rWJF/iYk2CceVveYPZu/FSowerPFArzyCnM6vvcez/XuzQDmd9zBnI8LFzIoZVqajgR0+bIOZg64j5pz6hT7ZN4812V88OE68PbbtJVzF/qXa20gMZHhhRMSdG7IYcMYXthq5VAfNozHP/+cv5Uq8VcFE09K4q9tLsSlS/lbv34CgoL08Zde4r3r1uWnZduehx5iHNaAAMZEdQxIPneujmYTHc3wzI0b53y22FjW36OHjsjjQ97hDWHcCBLG2wC0BNDfMIwfC7RVNxtWKzB6NIN4BwWRAC1dCnTr5vqaU6cYot/PjyP+l19cZzD99FMSvtRUhs13RjwXLtT/27bNef7SJRIjFRNLoWxZHYPqwAF9vEcPXa/K0qpC9H/+OTOlDhvGoOhnzzJdwcKFjHe1aBFngD59OJucOcPwdxcucGZRz+zv77p/VBuaNdMzlA8+5CNKlWK2C8dIjM6QmMhPe+dOBh2/coVrTX9/xvdv04af0cqVXDuqaIsqmLiKxmibdPm33/h7xx0Xso/t36/XolOm2IeHe+cdvVb87jugTh37Nn78sc5v3rAhsH69JtAKqanAqFGcIoKDgcWLgdBQz8/vgwd4YikBNHZy7LqNbwpyux5R6solS2itqRQSEREiW7a4vyg5mSZvSgfpyqRMhLKTEiVonFK7tuuov5078/42z2InBmndmkoQZ17CyrvZVkRLByseV5GTRUQ6dOCx//s/7u/dS5mNycT/mzZpBcuGDfQiBujr2awZ/5cpIxZlpOONcY7ZLLJ1q/s+zUf8m0SCtxL+zW1TgcM9bWpoK02JipD41FMc4gBNDJToVBnVKMPu99/nflKSNq6ZO1fHiFMpWdu0sW/fn3/qT8TWP1KEn6ptTJDOnVm/I7Zt4xQCsD0+P8YbKEoVkU1Ojn2b7xT6VsCVK6g7ZgwTtQUEcDm4Zg2TpbmCCDBkCHMrpqfz/+DBrsu/8w5w8SIjBL/yivMIw9euAX/+SdFlhw7O67l0iUtJlXLKFlWq8NeWYzQMRlkGgO+/18dVNOVp01hn9ep0GLNaKfdp0IByKhHgrrvICVesCGzcSC6ySRPg9GmkFS3Ktly7xiDoIq7zPVosrHfgQNf95IMP14EmTTiElWbBFawOyvENGzhsp0/XWpPp0/lZADr7mkqFqgKI//03h3XFikBkZFp2WRWQfMoUfc9Tpyg8EWHg8hdftG/PY49RkAQAjzxCTtSWC7RYgLfeAm67jVPJ4sXARx8BISG57CQfXMKXXUPh8mWgVSsU2b6dX0ZMDHWGVau6v+6ddygrCQig8H/qVNdlz51jBo3QUBIGVxlaFVEUca5fBCj3EckpSgWAypX5DLaEEdDi1PnzWT/Ar6tpUxL1d97hsddfJ9HbtYvynP/7P8qnEhJIXDdsIPGbP58z0G23ITgujnrKEiXYlyrfo7vEcbNmkZiePeu6jA8+5BGGwYQ2X37puWxaGgnLyZPUJqSlUZ9oGCQ8aho4fpy/KsGM0pYsWMDf++7TdT7/PH979WIaV3Wfe+6h6LZqVU4d6hNJT6fo9JNPuP/yy9Ry2OpNjx2j2PT550lUd+70TnTsQy5xs1nWgtjyJEq1WERathSrYYg0b85w/J6weLGOPVWsGC093WHECC1v+f131+WGDaNrRWCg2Jq32YlBlAXp1Kk5r1cey3Xr2h+3TTq3YIE+vny5ZIuOVdTjpUt5LCCAcVkTExmjCqAT2IEDOuLyu+/KlZgY/q9ShTbpgDbl82Z79VX3fXcd+DeLBG8m/kttsx36nixXlTtHaKgWVe7YwU8yJIT1KePsdeu4X768ZBt0x8bGytatki2qPXJEt+PRR3k8LIxeVApJSTrEm8mkgwsoWK0iM2fSorZQIUaKzEsERp8oNZ9Eqf8zuHwZ2LUL8bffTkMbZ0nWbLF/P5d3hQtTk//997T0dIUDB4DPPqOGvEkT12m9RWj0EhTEvI+25m0KycnUugPOOcboaH1PsTF0CQjgfQ2DuRUV2rblMjk1VVumdujAJWl6Ok3nwsKA5cvJib7xBpfOK1ZwuTtqFI73708u+NAhWqDWrk0OOSJCi1TdGeeMH8/+S052XcYHH/KIgABK+YcPd19OhIKOIkVYXn1Kn3zCoZyczE0Z3xQvzhSsJ07w027alMdHjeLvkCFanDtzJjBjBj+/+fO1IU18PA3AY2PZzt9/Bx59VLfp4kVynQ8/zE9sxw7ml/SUPtWH68DNpswFseXZ+GbPHlm5bJnncgkJDJOmDE1ef93zNb17aw5ryRLX5bZvl+zlq21YN7FZ7Z08qcv88EPOOlav1ucdoxArz+SwMHvfwl9/5fGQEB0Q3TZHpPJ/nD5dlzt1iinSAbGaTHSiUhFyqlcXueMO/i9SRC/X1a8745wff/Tcn7nAf4nzuZH4r7bt7FnXQ8+Re1TZN0qVoiAJYAQaxSFevCjZEXjuuov1T5++SQB+7irzxtatWlj03nu6LadOaRfj8HCRf/6xb+uiRRS8+Pszrogrt2hv4eMYfRxj7lGjBsSdIxTA5eSAAeSMUlPpwqGUCa7wzz/Ajz9yOdiihWuDGsDeTcOd4Y2CM+MbW4sDRz1jly5UWiQlcYmq0LUrl7DJycCHH/JYVJTmIAcPpo5x2DAqUpKTgY4d+f+112BYrTTOmTOHduf79rGd3bppf8pSpXhdWBjnHldL3t69ufS25ou7rA8+2KFkSQ4/Z/6AtjCZqAuMjKQavHx5Ht+3Tws2ihThkAeABx7g79SpNH4bPZpc5uXL/DTU1PHUUyx38CDdMI4eBUqXpv3ebbfx3LVrNMLp0oVq+40bWZ8rezYf8hk3mzIXxFYgsVIVxozRy7sqVXSSYFewWulaoQJy//mn+/ItWlBfWaJEDleO7Lap6DYAw7c5wmLR3Oknn+Q8364dFRm2iY9FdIqrQoV0tlOLRXOBDz7IY8nJjBsLZNdxpnNn7pcoQY5WZYutVUsrVgICciZDdrf5+eVcQucB/1XOp6Dxv9C2Vas8D0Ml5FDBxceN4+ccEMDPW0VIvHSJuRSVQCYpKdt0QQDqK1VWuS1bdASemjXtU1Bt2MCEw4bBwOK2UXSuFz6O0ccx5j/mzKF+rWRJIDOTrguFC7u/5o8/gFWryB21acPNFS5dAtato16vXTvXFp2eOEaTicoRkyknxwjQOtVqBX76ic+h0L8/ny0xkdaoqq5Zs/j7zTe0Sw8OBpYto85wxgxgzhzsf/ZZtvniRT7jqlX0nN69m1as48bxufbsoaVtaiqXv4GBvI+zpXBmJnD77Xop7oMP+YxWrVwbdyso7nDXLv2blsbP4MAB6hsrV6ZZwsiRLPPqqzQ+HzeOn0yRIvxkAgMZNKBpU35mrVtToBQZyeH+yiuMnZGSQhX+O+84NzPwoWDhI4zeYssWOhWVKUOjkhkzcoaqcITFQjFr8eL8Cl55xX35JUtIsJKSXLtpANTWK7j6oqOj+RU6I4xdu/I3IYEETMHfn0YwAF021IxQuzZdNgDg/vtJ1KpVA776isceegjBp05RDFyzJsXMXbsyVEe1arQpX7CAYlmLhV983778n5bG/rFYXMfzmj2boe9OnnR+3gcfrhOJifb+hI4wm3V61sOHScRCQri2BOh5FRsLbN8OFC6cjpEjOeTffFMHzipZkn6N7dpxjdi/P+3ZQkP5mbZoAUycyOM7drhfQ/tQwLjZLGtBbPkuSj13joGwVc4aV3lhHPHNN5ItmnQM9u0MAwZokasT14/stk2eLNlynnPnnNc1fDhlPVWrOj/foAHFqcOH2x9PTtYBwqdM0cevXdPuF2PH6uNZWTpSIiMpO7p0Sbt19O5NkWzVqtyvV4/ReFQyuUGDdBov5eKhzrnaXnrJcz+66rdbEL625Q0F1ba0NPfDz2zW2TyqVtWpTrdv12lLx43bLUeOaG2GCoSlcjUCOmud1UptR0gIPzuVMrWg4BOlerfd9AYUxJavhDEtjXq/oCBuLVp4lykiJYWmayo82/r17stnZvKLK1uWukt3bXv2WU1QXMWBevNNySY0ztr7yiuSrRN0NHV7/XWeK16chFJh0SJd586dPJaaKlKlCrNrdOvGL/3oUW2x+9xzzMpapQr369dnPar9Dz2klS0VK2prVWXC52wrV07rQL3A/+IEnx/4X26bGq7O1N5qaDZsyP3QULoFq/Xd4sWrslXwQ4awvhdflGxLV5WP8exZkS5dJFt/6WhAXhDwEUYfYcwT7AaO1cqRrey1o6Lo7O4NpkyRbC383Xd7Lq9cLAIDGQjAXdsGDyYxMZlce/naZj7dty/neVu3EMePJSFBEzbHrKrMxEruTxHUw4clU8WJ/eADHtu4URO/adPoAlKpkmTPKGvXagOc++7THGNUlI45q847c+0wDNrJe4H/5Qn+evC/3jbbPOHOtoYN+duhgx6+f/wh0qTJhezzGRna9sxspleUCL2fihfnEP/wQ9chk/MbPsLo3ebTMbrD9OmMyRQTA8TF0Sm+dGnP1125Qu175crUF3rSLQJUSJjN1Lm50y8CNL4JDKR+0ZXLgzuXDYD60QoVaFSjFCUKhQsDTzzB/5Mm6fBxAD2dg4OpTFEGOpUqYe8LL/D///2fzo3z009s32OPUZe5ZQt1n1u2sP6NG6k7/Plnxsdq3pze0gEBVMikpvJeIjnbL0KjnCZNqJ/0wYd8RuvWzoeewsWL/K1Rg/EuatUCtm4FNmwogWLFaDLQsyfNEYKCaITTti1jsN53Hz+FrVuBxx93HznRhxsP3+twhVWrgCefZPTgAwdoHtaqlXfXvvUWDWTOnaMFaMOGnq9ZuFCnjPKkdVf5cdyZ0qmQHYBzwmgYOlbrjz/m9Bl8+mkSqLg4bWQD0Bfxrbf4f/TobIOYi61aMRel1croOsqH8f33WbZnT7Zj61YS5M2b6Ru5fTv9JZcvJwF+6CEuJi5eZJiPlBQa5biaOf75h7POmjWu+8IHH64DrojjxYv8jFRM/ieeoBWq2WzFsmWMifr77wwrvGMHDXbq1aNx94QJNEBXwcl9uLXgI4zOcOwYYzCVLs3Qb337aq9cTzhzhtaXtWrRS/ellzxfc+IELTcBclpFi7ovr5IUO3PVUChenIQzKIjP4Azdu5OQxcUxYLotoqIYl8owyDWmp+tzI0bwC09LYxk1c7z/Pi1YL17ULiFPPsktM5ME/9IlcozlypFj7NuXxLFSJRLLtWvJbWdmkoh26MD/VqtOMeBIJDMzGVOrXz/3S3wffMgjnA2r5GS6aMTFAY0aAc88w3LPPLMf/fvTS6l8eQ7vL74gB2o2A6tXU4jkKX2pDzcPPsLoAFNKCjmd9HTacNeooQMceoOXX+ZEffQoE/vWrev5mkWL+HvypGcxKuA6SbEtDIPiVOVs5Qx33EEi7EycCpAjNAwS+29tMo2ZzQz8aDLRDv3HrLzVAQHkfENDKTeaOJHH33+f7hvXrlFcarGQ6JUtS46vWzdg0yZyiAcPMofO11+TU1y2jPbtKthliRIkks7ex9y5FM2qbLI++JCPsHX5VVAuxXFxJJSDBwNffFEJBw4wo8aPPwL33ku3jSFDgG3bmKvbh1sbN4UwGoZRzDCMZYZhHMz6dcoiGYZhMQxjW9b2W4E3TATV33yTHry2TvzuCJAt9u3j0rBuXYoAveEWARKTyEhO+O7CxWW1MduP0VO7KlZkeVeE0c+P8h6z2bk4NTqafosmE5e4GRn6XP365AQBYPhw+KmoyuXLa9nSq69S0WIYrL9RI84gLVuSk92yhVz5hg0Uv/71F7nKc+dY9/z5JHQrVpATjYoiN1qkiF7COxLIpCTmo1Q6Tx98yCeYzcDQoc7PnTzJz/7HH4H4+EB07MhPp1UrhpP77Tfg00+9n0p8uMm4GRY/AN4CMCbr/xgAb7ool5SX+vNslfrqqzQfUzllfvkld9f37Ekr1OBgkfvv9+6a5GSWr1OHzkwqZpQTxMbG0k0BECldWuSee9zX/dRT2sLz6lXnZX76SbLN7FQOHVvs2qXPz5xpfy4xMdu38YyKoKwwapRkW+UeP85jCQk6+nLLljTZO3+eFr8AozQnJ+s06kFBTH8VHc39smVFmjTh/4AAHatLWb86bmXKiCQk/M9bV+YVvrY5hztLVUDkzjvPZaeQ6trVPtzbzYbPKtVLGnVTbgrsB1Aq638pAPtdlLtxhPHSJZGiRSVBxfh8/vncXb9uHa9r1ox22QcOeHed8g0sV06H53eB2NhYEhlAJDJSpF8/93W//77+Wjdtcl4mMZEuIiYTiZkzdO/OZ6pcOafP4/z5+h4rVujjGRkijRvzeJ06muCfOKFTFvTvT3eTc+d0UIAWLVh25EjJJnoLFuiAk6GhIg8/LHbEz4Pf457Ro933002Ej/jkDbcyYQQyJTRUZMaMvOVMLEj4CKN3m8H+uLEwDCNBRIpk/TcAXFb7DuUyAWwDkAngDRGZ56bOoQCGAkBUVFSj75U4LxcovmYNar78Mq7Wro0db78N8TaUvQjqP/00Qo4fhzk5GXHt2mG/p4wbWaj6wQcouXgxzGlpODRiBE716eOybFJSEkqeO4fGQ4YgIywMF1q3xoFnn3X9PKtXo86ECQCAPePHI65dO6fl6owdiyJbtyKjcGGs//77HOLJQnv3olFWEMg9L7yAOAc9aO0XXkDxtWuRFhmJf775Btas+KcBFy7g9kGD4HftGs7ccw8OZCWpCz10CI1GjoQpIwPHBgzAsSFDEHDpEhoPGYKAy5eRUKcOtr/7Lsp/9x0qzpwJMQzsGTcORbduRelFi2A1mXCyTx+U+/FHmCwWXCtTBiGnT7MxhgFDBGpUGwAEQGLVqtg6bRrkFrN4SEpKQtgtKl/ztc052rdvCYvFDI4sw+bXFlb8+ONalCjhRDF5E+Gu39q0abNZRDzkHPkfQUFRXADLAexysnUDkOBQ9rKLOspk/VYCcAxAZW/unSeO8fJlkehoSYmIyL3sQ4W9aN2aHI5tym53sFopJlRxpbZtc1s8NjZWZPlylg0OFvm//3Nfv60Tv7tQap99psu5ymbRti2frVq1nN7IJ05Ipop/5chpL12q67Z1yF+yRDvuqwwgp06JRERItqg1Lc0+jtYHHzBwgrrumWcYuUcFYFBiY9UWx83Pj/13C8HHleUNtzbHqDdvo0feKPg4Ru+2AjO+EZH2IlLbyTYfwHnDMEoBQNZvnIs6Tmf9HgGwEkCDgmovChUCHnwQu196iYYw3sJiAcaMoaHK2rU0S7N1rneHvXvpGhIQwHt6CkoOaMOblBTvjG8AWp66MsABaDZnGK6tUwFg7FgaI+3fT4d8W5Qrh6Mq5fjbb9M+XaFDBx2YfPBgZtsAmMvx88/5f8QIOnyVKUODnBIlaNXasSMDt//wA9v21FM0vlmwgIZDU6bQY/q222jhYDbTmCctjX3qiMxMWv327Olz6/AhT0hKyl35qVMZL8M2RoYPtz5ulrvGbwAeyvr/EID5jgUMwyhqGEZg1v8SAFoA2FNgLTKbgZdfRmLNmrm77ttvacVapQqJS26sIVVS4iNH3KeZsoWnlFO2KFSI/oyhoa59GQFa4DZpQkL700/OiUa7dvSx9PenhaqDBevpHj20a8rDD9tHo3npJbqGpKfT+jQxkccfeYQe0QCJ1YYNdOHYvJntXrWKGV67daNbiL8/s378/DPdPcLDSTRFaAufkkIC2bgx72UYzjN2/Porr927133/+eCDA7yJ1eGIq1dphP3NN/nfHh8KBjeLML4BoINhGAcBtM/ah2EYjQ3DmJFVpgaATYZhbAcQC+oYC44w5gUpKQxhUbcuc84MGaLTfHuDBQsYbu7iRc9uGgrepJyyRcWKJBAHDrjnkrp14xd85AidrRxhGCRiGRlcCMy3X8uI2UxXFRFeP3WqPmk2k+AWK8bYWQ89pNvy6qvMs6O4uYMH2YebNpHTXbkS6NyZdu/r1tEv88svycHu28fn27SJi4wPPuDiYtMmJrwzmYDMTGQ6S2iXlMQUWW50tD74YIuVKzk884qHHuLn7hNW/Atws2W5BbHle9opV3j7bSoSOnWia4G3AcZFROLjaUnZrh3rOHHCu7Y98wz1iwBTOHlCr160YAVEzpxxXW7vXpYxDKYodwaLRaRGDery6te3M7nL7rfHH5dsPd/Ro/bXr1yp9YPvvaePp6eL3HEHj5csqVNpHTokUqQIj7drx3L792ur1ubN2Y/KYjUkRGTOHH1NpUpaB6lcO5xtpUuLXLzouS8LAD49Xt5wo9t27lzOYeMstr23m6dkOwUFn47xJusY//O4fJlivZYtGZ1lxAjvAowrLF1KceO1a0zmW66cd9fFx1NpAXjPMV6+zP/ulrvVq3M5W6wYvZTFybLWZGLi5fR0coVKFGyL116jI35GBr2hbetp3Zrh5QBg1Cgdhs7fn3VVrUrn/jZtyNFVrsywcYUL08m/Sxc+z+7dFP+uXUsR7fz5DE2XnEyv6ilTyMUfOQKkpSGhRg2eM5u17tHW8vbMGeo1VVB0H3ywwdmzDBFsC39/PbRNJkdDbs8sYdOm1Cr4cGvCRxjzijffBBISqMcLDCTByA0WLiQR2r7duzBwCvHxmiB60jECJCQqYo07AxyA4tSEBBLQXbuclxkwgKLOwEDqGh0JaHg4MG0adZDLlgHffWd/fuxY6iutVt4vLk5ft3IlCdTevYzIk5FB3e0///D88uWcTSIjtV53zx7GbZ00iQTRaqWRT9euwIMPAomJKLxvH9MZWK0k6kWLst2OUXMee4x1paZ67lcf/iewZg1twhyHua10PiiI57UnkOFVBMlFi/gZKU8jH24d+AhjXnDqFPVZ99wDLF7MvDFRUd5fb7HwuoYNqafMDWG8dAkICeF/bzlGgF+tOwMcgITKYtEh3JzB358xVNPSyM0tWZKzTM+e5O5MJqYcUPl5AB77/nv216VLQO/e2lCndGkSx+BgGt48/DBnnJgYGuYUKkRie++9JJRbt7IPT55k0PauXam39fen7vLaNc0F/vwziWp4ODloRRwdsWMH+3XxYvd95cN/Hm+8QYGELWeooNakpUpRGOHnp8v5+1sg4p0tXXo67c3GjMnftvtwffARxrzgpZfIfaiMD6NH5+76jRtJLMLCvEszZYv4eBIOIHeEMTLSM8fYtCkQEcHNldsGQI4sIoJLZWdco2GQawwIIAf6zDP250uUYAxak4nxUV98UZ+rVYvctMlEblNZ+VavDqxfz2desoREMDCQ4tS2bdkv9epxeb91K8WvP/8MfPYZtk6ZwusWLCC3W68eiWNgoO5L21nMYiFhv+ceX67H/0EkJXGtOnas/XERnfhGeXQpW7saNWg/VqYMkJFhRkhIztDD7vDmm/wsUlKuv/0+XD98hDG32LOH+Qn79OEE/tRTHNG5gZr4T50Cbr9d6wy9waVLWo7jjSi1QgX+hod7JoxmMwnO1asUZ+5xYQQcEsKExKmptBT988+cZaKjNdH89lvqVG3RvDlnA4C62gUL9Lk2bZhdAwAmT2bCaIBWpOvWcTHyxx/kcFWGj969ySHefjvFswcOMJXVtm2oNWkSOdCYGIpgjx+nmDUtjTNRqVLOM3YsXMh+27HDfb/58J/BunUcuitW2B+PiOBQVh5JZcvyV62nVCa4S5eYjzEtzV736I1oVQmD1ND34ebBRxhzi3HjyH3Ex3PSzApzlissXMgJfMsW7900AH6ZKkkx4B3HGBTEid/Pj+mYnOXOsUW3blrH5o5rHDmSzx8cTALoDE8/zawYfn50Zbl2zf78M89oC4T+/ZmqS+GBB7ShzogRTE8AsL41aziDLF7MnJIiTDk1ciT1ku3bM0DArl1Aq1YIjI+nTOyzz0hAExKA2bPJ6QcF0bqiTBl9b9tZLDmZHObjj/vs7P/DyMig51Xz5vauwmrNWrkyf1XKKGUrd/o0Cenp05Twp6YC9etfhsWidZMhIfxVLrWeiOTDD3OY54bj9CF/4SOMucGaNbSAHDiQmvNnnvGcVNgRZ85Q1FelCkd+LvSL5pQUEjb1hXkbK1IZ4GRkMNKOO7Rvzy+5dGn3hLFwYRKi1FTgr79Q2Jnvo78/iZHFwmTMKj+jgmGQmyxblkSze3d7w5cXXgAGDeL/Xr24nAdIqFavJlFetIjXWSwU3yoxd69e9KiOjcWZu+8mZ9i2LcWjykjn7bfJ+VeqxJktNJR9ajuLKUybxgXGuXPu+8+Hfx327aMW4dVXua9efaVKwJUrFDTs308OsHhxnitVip9JXBxzbQP8pE0mYPfuwqhUiarvRo24tlJZ7JShjif94+7dbIdj/nAfbgx8hNFbiNDytFQp4NAhEsSnn859PSopcUYGJ+KmTb2+1F/lPDQM6u+chT1zhooVySUBnsWpwcEMxZaSAuzc6d5g5+mns/V00a7CejRrBgwbxjZPmcKoNrYoWpT6RrOZIssnntDnDIOEtX179tddd+n2NGhArjAoiBx4z56ceSZOJBEDgOHDgUmTGGh9yhS+w4ceAs6fp5FPSAiJZ7FiJJBJSSTQlSuzLsel/fnzfP/vvee+D334V0CEObHr19fS8rAwvvrChfUa7ZVXqJKOidHxNSIjuaWmUtgBMKDS3XcDqal+6NaNw2fPHq4xz50joU1NpaDFanUelMmxfS1aUIjjw42FjzB6i99+I8f44IM0/hg9One6QYWFCymH2bKFfn3eEjdAJwMGcpfxtGJF7RbhiTAC/BKV76NjXFRbREUxrFt6Oopu3cr+cYbJk6mk8fNjeduExwBjnSpiM2OGvZLFz48zTu3aDCWnEhkDXI6vWkXi+PvvdMnIzCQnO3cul+UvvYSq771HIq4sVt98E3jnHc5aKnLOihXUdZpMFDlXr64Jo+MM9swzbI+jaNiHfw3OnAE6deI6zM9PG85cu8YhMHo0y9Svr9di3bvrzygyUqvv09O5f/iwsiMTfPEFh3pKCg1z/P2pKahQgSr8iAje05lbrSN++41D/PjxgukLH5zgZkcYKIgt3yPfZGQw4ktMjEj79oymkpiY+8pTU5lP8IEHJEf0Fy+wzTbSToUK3l84YwavCw8XGTHCc/kLF5ifsWxZRrhxh6NHRcxmZtdwl0/yu+8kO+zHm2/mPG+1MkqPYTCyzvbt9ufPnmWEGkCkZk37xMvr1umMGt268X2JMIOHvz+P9+zJ4zt26Mg5tWszGtDdd3Pfz485LFVuyBIlRIoW5X+VucN2M5tFfv3Vc3+6gS+6TN5wPW374QeRYsU4ZMLD+Srr1xcpVIj/P/+c5wGmMa1dm/+3bePwAkSWLRMZPpz/Z84UGTqU/995R6RBg0vZn7caPuPH8zcsTAdjKleOvyqQlcmUc4g5bs89V3D9Bl/km+ztpjegILZ8J4yKsLz6Kn/ffjtvlS9ZwuuffJK/O3fm6vJdEybwuvbtRWrV8v7CFSt4XfXqTB/lDVq1YionQOTgQfdlBw4Ui5+fuI11ZbWKdOxI4hMY6LzOhASRihU5Q0RHc98We/ZwZgFE2rRhWiqF1as18ereXRPHDRt0SqzWrUWSkxnfq1IlHouIYJi5SZMke/Z54gn2sSKW9erxv2E4jwPWsaO+Xy7xXyU+BY28tC0hQa9Ja9fmGhUQ6dyZnwYg8uCDIu++y//Nm3P9azKReFksOvrgunUin37K/48/LrJxo2Sv2WbO3CAAiaLKSFeihP29VYTCKlUkm2B6SxwjI+3XhfnVbz7CqDefKNUTkpOpt2rShJFXoqIoqssLFi7UVpAlS9JnLxfI1jFmZHjnqqGgfBmLFPFOlApQnHr2LP+7E6cCwPPPw6QsC5QlqSMMg872ZjMNZYYPz2nlWbgw9Y1+fjQSUg7+CjVqUEfr58eg7YMG6fMtWtD5398fmDePFhGZmcDtt2Pzp5/y2Vetok43MJD609atgQsXaIPfogVF5IGBwIcfUgb2yits6/btOii5CMvYYulSKo4c9ac+3DJYuZKvec4cqpkPHKDY9NFHOez27aM30IcfahuxTz/lJ2+16tevNAyFClHnCND4uVEjHtuzByhSJANNmrDs2bNUkV+8yPNVqrB8z54cxocO8b5JSRyiVqtnw5y4OA43n1tHAeJmU+aC2PKVY3zjDcmWiwAUteUFVqtI5coUg0ZEcPmYSxwZPJhtaNqUHI23yMig2K91a16flOT5mkOHWLZ8eZHGjT0Wj7vjDi0T2rzZdUHFdQMiX33lvIxt4mRn3Pn33+vzY8bYn4uNtRefZmbynR4/rjngihUpmrVYRB59VLK5wc8+Ezl2TKRMGR6LihL5+Wctb6tQQQdkd5UM+dFH7YKre8J/jSu7UfC2bSkpIqNG8fVWrSry2muaK3vxRZGpUyWbY4uLExk7VrKFMiIi993H/U8/5X758tw/doxaBCUSFRHp3Zv7Tz21TzZskGzu7vx5CjMMQ+TPP/XQefllHjObtVCieHE9HD1xjor7zI2wwscxerfd9AYUxJZvhPHSJeqj7r6b2R/KlOGXlhfs2yfZE7lSTOQSJ3r14hdcpw7FhblBdLTOYLFtm3fX1KpFYg7kzJThgE0ff8xyQUHu25aWRn1tYCCzYKhMGrawWkXuv1+yZUurVuUs89Zbenb46CP7c8uXUwQKiPTqJbHLl/P4+fNadhUZSeIvIjJliq7r6ae5cGjThvv+/tSPNmign69FC8mevRQRtt1KlPAqW4rIf4P43Ax407bt2/mpANQHTp6sX9Enn4j8/beWjv9/e9cdHkW1vt+TTU8goUMwBEKv0qQIKIJSpXlBVECxoQLClQuIIF71Kl4b14p6LVcUxQIKqHBFZLEhSu9FSugdAiF9d77fH9+ePbOb2dnZTULi7877PPNsmzlz9szMec/Xf/mFTetSG79rF9+G0hx98CC3KW2GZ88yIclbQNOI/vtf/q1hQ9ZzynPPm8fraak6XbJE3UpynRgbS9S2LXnXY5IY5W1stglh/IiEOm42MdrEGBA+N87kyXzXvfkmD9WcOWG36zVcyCXpkSMhN3G8Vy9estarRzRqVGgHX3cdUatWfO5PP7V2zIwZvJwF2KvABE6nk+2X0lji7zyjx48/kpf0brnFeJ+sLHZ2cjhYwj5+3Pd3TWNHIjk7fPGF7+/ffuudVU5eey2Ry8XfX7igSK5CBaKNG/n7r79WJNe7N9si5SJGLmgeekh97ttXzVrSWOW/PfOM6Zh5x62c4s/aN5eL103R0UwyX33F6x15y33xBdHhw+qyzZ7Nx917L38eNIg/b9xIXqKSkMQpzdtSwjt6lL9jyVCjc+fYQQdgnzGXi6hxY/787LOqOluDBqpvlSsTtWvH72vXVo+eVeecAQOCKytsYrSJMSx4b5yDB1mqueMOog4dmJDy8sJul3r0YMt8794sMYWB050786Retao171I97ryTax0C7GhiBb//zvvXrUvUsaPprk6nU80EMTGsVzLDXXepJ/2bb4z32baNl9IREez14K8zcrmIbryRvEvrn37y/X3pUjW73HyzIsfcXCURxsRwnUgi9liVtRybNmXd2qJFijCvu45nVakLa9mSPXfNVKtNmjAZm41bOcWfsW8ZGcpiMHgwOx1LdWh0NN8iOTlKcTB4MJPJgQN8mwmhFAlPPMH7jB7Nn/Pz+bPDoc7XujV/J7vTqxd/fvddZT0BiBYsYN8xKWEeOqQkylGjiIYM4ffp6Yoc09IUEUtJNZgEGRtrXnbVJkabGMOC98YZPZonu/fe42F6++2w26QLF/iOfughXv5NmBBWM5nNm3PB3tjY0P22n3ySvEtRq9Km283LXemvbqIedDqdPBNcdZV6irdtC9z2mTNM8HFxTC6B3OzmzlVPvdF/zs5mHZQQLAHu2OH7+1dfkSYJePhwRY6FhRweImc6KXEeO6Y8VqtU4QLOe/aoEI6UFPa8lftUrMh2Y9lHubzXbxERbBcNNG7lFH+mvmka3yoVKrDS4r33WOlw9dV8CRIT+XbUNBVyUa8ekyQRm6MBoltvVW02b87fyYic48f5c3y82mf4cP5O2iBlVFLnzvz5iy/IS3KapiTFLl143SWl1rlz2ZQPsAuBVKump6t95LpWrvUCbWYmfpsYbWIMC06nkyUHIYgmTeI7ND2dq8eHiwULeKilA8+SJWE1k52aqiz8Tz4Z2sEffkjepy6I9OeD++9XvuUmcZfeB07OBDExvrOMEfSkZ7ZYkE5H+llKj5MnWaIXgh1sjh71+XnLP/6hpNNbblHk6HarYDSAnW+I2MZ4zTXkFTO+/ZaJu3Nn9d++/pr/H8DnHTVKLe+l1Om/de/uG2JCfy7yKU/Q9+3MGSUVdu1KtH8/k45UXVavzpIkETvfSMlq/37+btMm8q5f5H6nTqnLdv48f7d9O3nXSxIyyufBB/lzZiarUiMi+L3brXy5Fi9mZYVUv86fz844UhLcvJkJFOD/IzX+DRuqY2TsY6DIoSDrV5sYLW5lc1JgGIDtADQA7U326wNgN4C9AKZZbb/YxHjjjWx1lxN3GI4yPrjzTp4sH36Yl3smqjUz5Ccnc1tBSMoQP//Mx/Xrx32x6jkpPQrq1eNlbgB4Hzi3m9WQ1arxcbt2BW5b01g9KQklUAxkdjZLrZGRvPQ3ioHcvZuvmRC81NeNsdPpZO9SSY633abIUdPYPVHOKk8/zd+7XER3361modde4//24INq38cfZ52ZXMJ37650ZzExxnqvmBj29PAft3KIP0Pfli3jtVBUFDuQu1xE+/Yp6ap+fSY5ItasSzJZulS11b07f3fXXeq7Dz7g71q0UN9J07g+t8a8efzdtdeq75o0uUAAt0HEztcAq2/1TjqJiUy60u0gJYVVutLhZ/Jk5a3auLEixdRUdSvLR0f+r6goc6dzmxjLNzE2BdAYwKpAxAjAAWAfgHQA0QA2A2hmpf3iEOMG6T42axYbARo1Cjt4m4h4Mq1Rg3UuV11lSi6m0DRWCUpdTKiq3aNH+TipPpSzRTDk5bF+Sup5AjgN+Txw77+vntrbbzdvf/du3i8ujsfbT6LyYtcu1ilFRvJ+2dlF9/nlFzVT6KQzb98++0zNKCNGKHIkInr1VfKS14MPqoXDiy+qWeeBB/h6fvyxIr0+fdhLQ4ZxyGst25JqZf9t1Cgit/tPQT7lEcuW/UBjx/JQNm+ufKjWrVP+X23bqvXR7t1Kyz1jhmpHSmwOBzvkSEjVqn7fRYuoCFn+8gt5SU1iwoTdBKhcGoWFSuJbtoy/69uXP998M99SHTvy5/79WXsvTdavvqpskc2b85pTqlXlra5PDhAdrSRcI9jEWI6J0Xtyc2LsDOBb3edHADxipd2wiVHTKLNZM77L5ZLxo4/Ca0tCpsR44w2eYP/+9/DayczkdqZOJa8eJhS43fy0SZ3Tzz9bP/bmm1Ueq1dfNdzF54ErKGDVZkoKzzjBMuf8/e/kJYynngq8nz5+cfRoY6l34UJFZLfeWpR85s9Xv3vIyYuPP1bEOXy4WhDpPVZ79GBS3rJF5Q1LS+OZt2dP8urFJk1ifZ3UvRmRY+XKtHrePPOxKUOUV2Jcu5YoNTWbAB5mGUG1dKm6TNdfr77PzFQqyuuuU5dc05Sj9tixqv3CQmXX04dBSHcD/dr22DHykpK0tnz22Wov2UrTuYyXbNaMz3vihCK/VatUZBjAoR2rVilnoC+/VPbOli2V3bRyZbXuktr7yMiiDtx62MRobQuS371MURvAYd3nIwA6BtpZCDEGwBgAqFGjBlatWhXyCav+9BNa7NiB3ZMm4YqZM4G0NKytUYPTZoSJtLlzUVcI7Nq/H02JsKFKFVwMo73YY8fQCUDGiROoC2DLgQM4F2I7HapXR+7hw6gCYNeSJTjhn8w7AKo3bIhmn32G3Jo1kf/OO9jUokWRfS5duuQz5rUHD0bDV16B5nDg5IQJ2D11asD2I66+Gu2vuALRZ84g4vHHsbZOHeTKgnd61KiBhgMHovaSJcD772N31ao4Lus5SlSujNpjx6Lh668D8+fjEBEujRih+lazJqo/8giaPvMMxIcf4viJE9g9bRqnG6lVC5WeeQYtZ8xAxKef4twff2DbrFnQEhKQMGcOWj/0ECJXrkRuo0bY9PLL0N5/H1dOmoQKe/fC3aoVtj71FCrWq4d6774LMXs2TnXrhoRDh5Bw8CDcUVGgiAhE5ueDAAgAOHcOnUaOxIHly3FQltcqR/C/pmUNt1vgo4/q4IMP0lCpksCLL25C27aZWLMGWLq0Jl54oTGIBHr2PIFp03ZhzRpOXPTww61w8GAlVKlSgIceWosff+SapD/8UA1btjRHZKSGnj3XYNWqAgDA5s1JyM5ug6goN/Lzf8aqVQQA+P33VAD14XafwapV2wDwCicy8hq4XBH45JPfkJqai7i4S0hNzcHhw/F4/vkd6NHjFBo3jkB8/NXYsSMSs2dvRrt25zFmTApefbURbropH/Pn/4ann07Agw+2xUMPAXPmrMe0aQmYNasJhg4lvPzyBjz3XFNs3ZqA9PQsdO6cj19/rYrYWBdq1y7A0aPxiItzoUGDLOzcuRm7dhmPYXm7puUWpcW4AFYA2GawDdLtswqBJcahAN7RfR4F4DUr5w5LYiwsJGrcmC7VqaNsi59/Hno7/rjqKnZ4uf9+1nmE68QjJU9p7ZchBqGgd2/WL0VFsb3TKs6f56Vo1668hDUIyi+yEs3OZjtjnTp8rPR0CASZzzUmhg02eklOj9xc/g+Rkaw3CuSCN3EiSclsz/jxRX/XO/74S46rVyu9W9u2Sjd19KiyISYns7eEy+XrHPTPf7J+TWakTk9XAXKA8sTwbJp8n57OYkM5QnmSGPfsUerGESOIlizh0BxNY1OvHMaHHvJVJDz8MHklKX1ei4ICJUVOmuR7LqmUueEG3++lLXDECN/vZTtffcWfnU6nN9SjXz+1nwzmb9OGP7vdLEECnJ2HSDkHVapEdO6cChlJSGAVq3Qoat1a3XYxMSqHa1wc+6IFgi0xWuSvMj15eVKlZmURjR9PW598kt3AWrUKPDlbxYkT5CWz+vU5AjdcyATkMkWdmU92INx/P+tfmjThwKlQ0LMnO+BItbAfDB+4WbPIOyvdd1/wc4wapRxZpIeoEfbt4zCJqCielc6dK7qP2+01FGmBFjlSNwZwvKr+eutjGhs0UPqpS5dUoFxUlPIwfvttpYYdNIh1bDLILSaGx0Lq56pV8+7rJUaAFx3FdfQqQZQHYtQ0DoWIj+fLIaNenE4nFRYWXZPoode8+w/rG2+oS+Nvbm/UiH+Tgf8SY8bwJfIPIZYa9BdfVH3bskXd+rIQz4ULar0l17VbtyoP061blT8awCpTt5vN9ACbsQ8d4ulJrtlkDgqHgx3WW7b0NZ37wybGPz8xRgLYD6AelPNNcyvtFsf5ZqdcYi5aFHYbXsiJ96uv+PXll8NvSwZIyVRou3eH3sazz/KxffuGVp2DSDmnpKcbVugwfOAyM5nA6tdXUc1mOHmSl8pJSXycWaSyDAuJiGAvYqNFTE4OUadOpMmo6h9/LLqPPi/r6NG+7ezbp/Kr1qypIr9dLl8pUM6Ia9eqvKr167M3h05ypfvvVwFqUVHKc9ff7/7qq8NPPViCKGtiPHFC5W+4/npf55hly37who8KUTTt7vr1yjnFf02WlaXMvv6pdjMy1GXwL34jq6JNmeL7/QMP8PfyPE6nkzRN3Tqffab2ldJop07qO1lsp1kzvrUyM5VJf/p0viXlWqxxYyZyqbho146TUslx+PBD8zG1ibEcEyOAIWCbYT6Ak1IyBJACYKluv34A9oC9U2dYbT9sYiwooJxatfhusxrOYIa//IUdUGR9Gv/g81Dw2mvkQ4x+sXqW8Omn5JWOYmLMl5b+OHiQj+3Zk8nIb5kd8IGbNk1lSh43Lvh53n6bvEvtoUPN95W5tAAVZuGP06cpJyWF+1yhAgej+UOKDwCHw+jJ8fhxlSYlKUm5PxKpNH8Aiy4uF5O7dB2Mj2cyXrJEeVq0aaOyWgOU7ada9W4xMSqdShmhLIlx0SImh9hYXk/qL8np05yPVN4m/mHBJ0/yOkYIXof4OzpLa0R8fFHt9euv829VqhSdAqQk5x9CLB/Jrl35sxw3SXh65cypU8pBSPq/SauDXkpdv14pIJYv53WSLI117bWs3ZcKnKuuYstARAQ/ZrbzzZ+UGEt7C5sYJYEFSlEWCvLzeSK+5x726kxJKR7ZSmODlPrCKcgmU7yNG8evwex+/mjTRqkH/VSdAR+4Eyd4dmvUiCf7YITudvMMI3VOZpJ7fj4bnqKieBaUycL98Ou8eTzTORx8HYxCTvThGnff7TsTnz+vJL3YWF9XxSVL1EzXrRtfl/x8FbIhBMecHj6sZrIKFXj8pHRZrZryYPWXHvWp7C4zyoIYL15U4aNt2hRdx+zbxxkKAY3i4oomz87PZ4FbCFY+6KVMIt9sM489VvT8ffsywdx2W9HfZAIofxXr55+ry0ikxs3pJO8aRx9dJHNKXHON+u6bb/i76GiVsPzll8lL4EeOMInLqKARI1iy5LHgrJXffMPRXGawidEmxtCQl0eUmsrhGiUhLUpnki++4Ek5WDxfMEycSIUJCSq0IRz75+nTfKyMhfzvf0M7/vHHecapW5eTQupgOomOG8fkERHBUl4wbNvGokClSkxk/gWL9Th4kPeLiWERw4D0nE4n0W+/qbyrzZsbtykzExmRY3a2igR3OHwJe+NGZY+sV0+pjF96SRHdsGFsn7zlFvIS4OOP03nphx8ZqdLM+ZNjcjJ7XlxmXG5i/PlnVaf6kUeKSnrr17OJnLP/FfgI7xJjxqghNOq+lOIqVCga75edrQR7I1NvSgr/5h9CvG6dulRZWWrcCguVD5Y+x/3Bg0oa/O039X3//vzdddfxFKRp6rvmzdlhaP9+lYjq0Uf5P8hSWB07Bg4DlrCJ0SbG0JCTQzRrFm30Xw6Gi0mTVNZiILjyPxhGjqScmjVZDZeQEF4bmsaesXJJ/soroR0vyw307cvkcOaM9yfTSfTAAd6/WTMmJzNdj4R0ATTydvCHLJMeGcnigp/nr7dvixer4LBrrzVOCi8NNgBL+3pyzM9Xkd8AZ72ROHJEGX4qVuTZkohVqVJEadKE//vbb3udjM62aaMWHHIGlLOmP0FOnVoyizaLuFzEmJ/PlzsigtcGRiG2//0vKxGEYMfeefOKZknSa8Sfe65oG/v2qbwMRuGy8jYCjJUKUonhH0J85ow6bsMG33EbOZL77F9ERlZV03u+HjumFAfyHFlZipDvvZe/++035aP2zjvseyZz2XfubE6ONjHaxBgWSmwyaNyYpSqp+jRzJLGCfv3oYqNGbOHX18EJFS1bEg0cyEvZYHoXf2gae4FK3/D33vP+FHTcRo1SM9vkycHPlZ3N4oOMYA6WkEA6TQFFpFKfvklbLcCzlZHkLa+ZnI30+7jdvo43s2ap37KyVI7VyEjOkUvkS5oVKhD9+ivrCKtVY6/U6tVZHycTBlStqrxD/GsN1alj7o9fgrgcxLh9u8oJes89xhaC999nIhCC1xbHjhXt26pViixuusl4/XDbbTycycnG53ngAW6jceOiv+XmqksgwzIkNE2tfebP9+3bwoX8fVycrz/Vzp1q3aN3MJeJACpWVPbPrVsVoUuvXOl7JgQvGs6c4QVDVBQrhgLBJkabGMNCiUwGe/fy0L78MrvT6XNIhYtOnehs+/b8dNevH347AwYwObZvX0QdagkTJvCytk4dnyCtoOO2bRuPScuWrAuykpJu2TI+JimJHVrMyn4VFjJhS3ufzhWwSN+mTCHvLBeIpGVAGcD6OT05ahrnCtMTsZyJ9TlWAW5H03hWHDCAvLPZ668TZWXROckKDgfX+7z+evVZ2jX9N1kjtJRRmsTodrOmOSaGbXNGpmRN870MHTuqyBx93zIyeE3hcHAogxHpbdig2nn2WeNzyRykMiG4HjLDDWAcQizTtj3xhG/fsrLULbl4se8x8na48Ub1nculbJn6eEnpkxYVpbTq0vcrKor/3+nTwdePNjHaxBgWSmQykFbzbdv4ybdiVwuGhg3p5HXXsbTXunX47UyYwOrUW2/1zYZsFdJ2OmgQP5EeQ42lcRs8WDmcPPKItfMNH65mlmDp9I4c4Vk2Lk5FRBv1ze1Wtj4gcEJ26fAEsKTuL13Onq1+HzHCN6euXiU7YgSrd+VML0WFkSNp1fLlrNeT3w0fzsdKSbF1a2X48q831L69ecboYqK0iPHwYRX7d+ONhvkiyOXiIZd/tU8fXwcW2bdLlzjk2OHg9VYgx+9evVjqqlrVeMhk3CFgXPxm61b1u9SS6yEfhxEjio5bv358OUeO9D1G5uwAfOt6b9yobofvv1ff33wzeZUGMjZS+tElJrLFIhhsYrSJMSyUyGTQqxfrY2Th3pLwcq1ShY4MHMiWeekXHg6kg8mUKfz0yYJ0VlFQwLoo6RUwdy4RWRy3337jY668kp9kK5lejh1jMq1Rg2c2o3ALPZYv5/8VE8P2ukuXjPuWl8cSpiSgTz81bm/mTPLOXvffX1RHN3eumsV69fIdT32R406dlLfHt996jUlZ9eqxavSnn5SnRr16fO9IF8RKlVTIiL9qNTpaZaYuYZQGMc6fz7dPQgI75hqpPLOzef3nv67w75umqSpsfkoCH8jHECjqUSrxzDNqeI2K3/zwg2rDKIT4r3/lY9u3LzpuUtpLTCyq9OjenW+fm27y/V46CdWurW6p7GzlhSoLLLvdTLwAx03qzP6GsInRJsawUOzJICuLJ6tJk9juFRWllnfhwu0mioigA6NGcdBS377htyVLBMhgLv8oZisYMYJtYFdc4c3mY3ncevRQQVtG/vJGmDOH909IUOlAzKAvI3XbbeRcudJ4v7NneQHjcPB1MtKRaRpHWZuRoz5ko0MHX3fH9euVx2pqqgqR2b+fqE4dtjEmJbH4cPq0qjMUE8N2R736tUcPRcL+BDloUPFqhhqgJInx3DlVvrJTp8B55c+c4d/l35o40fhyO51Ob4o1QKVU84fbzWHJMTFMHIHWgV27ssQZqPiNtOkBxhFHsihPYiLRypVOn99OnFCXzX+NLKt7AL5rvqwstS7Sa/t37lSJC6TvXF6eiqJq3tx8rWsTo02MYaHYk4Eknu+/ZxuRPlgpXJw7RwTQH+PGsffBsGHht7V5M/dPppZbuDD0Nj77jI8dNoyf0gsXrI+bXL63acOEYFYjR0LW5ZES1euvm+/vcjGJeMhq98SJgfc9cICl0agobt9ooaBpKmUJwF4a/uT4ww/KbbFxY1/P20OHVChGYqKqx3jpEp1t1468RPfuu9x3GU4DsMHrzTeVGrV1a0W0kozlVqGCb0LQYqKkiHHFCl5DRUay1jhQFbf9+zncVXL+U08FdsJ96qktXu3yNdcEblOfFu6114z3OXtWnTOQtv6dd1Q7RjbMxYvV7wsXFjX0derE57jzTt/vNY2lTCPPVdmmEL55JWTN8YgIFe4hPVNjY+2yUyWxlXkHSmMrU2K8916eoI4e5TvaP01GOPA48+yYNo3vfn1F1VBx4QJf9ief5Fe9V6VVXLzIhCjtdB99ZH3cNI2lXulfbnV8Nm3iWbB2bR5f/8htf5w4welPEhLI7XD4Boz5Y906Fheiotg33qhtTWMtgJz9xo4tOmtv2KBqB9WurVLIEfGYSY9Vh8Nbzsy5cqUKTQHYcaewkBdY0rZ45ZXcf5klJymJ/fLlrKknR4D1cCUQ1lHcZyEnRyUnatyYheJAWL+eJSTpfWmQjteL7duJ4uIKKTqapUAjGyURhy3Ur8+X9oorAvtuyWyLAGu0jSCz2wDG+Rb0NsqXX95Q5He5Dk1KKirY6wnQv663VJO2aOFL/qNH8/dVqyov1IwMtiSYwSZGmxjDQrEmA03jyesvf1FS1erV4bcn4bHNbZk1i6WFCROK117lyqwSrFWLn7Bw0Lcvzzq1ahENGRLauEm9VNu2bD+zmsVn8mTy2tUGDgw++XuK2hXGxrIa08yP/ZtvmLAiI1kfZbTs1jTf3KfjxhXtw+7dqnx8pUq+S/3CQhYZ5PEzZyo176JFSkfWpg33NSNDGZVYR6c8MITgMZBSozxWbikp4aUN1KE4z8KGDapyxIMPGteVlvj2W9aSR0Xx8Acy9xKxZNSgAVFUlJsiI5XwbQR9ZM5bbwXeb8QIlrQSEgJrox9+mCW0uDjj37Oy1LkmTy6ajGHnTvW7f14Nt5sXDkJwVJMehw6p2MYXXlDf5+aqShvXXGM9OZJNjDYxhoViEaMMgP/Pf1hyrFgxsI4nFHjCFta/+ipP3tOnF6+9du24BNW117LNLhy8+SZJGx7FxtKPS5daP9bt5vAL6VDyzDPWjrt0iV3yatTg46yUBZP+/g4H/2ezGUQmFBeCZxsjEUPTlCsgwGpPf3I8fFipTv3zlmmaj/hxUn+enTsVqVauzPdTXp7yMBGCbcMffqgIsVUrRZ5S3JKbTEcXJsJ5FlwuvpxRUbxmCpZcae5cVUEsLs5c4iks5IB4qVUOpBol4rVW9eq8nqhbNzDhuVxsLq9QwTdswh/33sv9MwshrlqVyXP48IOGvzdqxH2/++6iv+nVo3pFA5Fyfo6O9s3iuHevIs1HHw3cLz1sYrSJMSwUixilN8CJE+xZOGhQ+G3pMW8eEUC/S0OHVSIJhKFD+SkdM4af5nBw9Cj35Z57iADaZtWRRuL99/n4du24D1YdlGSlkpQUJhGjklN6uN10pkMHRRqPP26+vz4+8eabjT0/NE0lvJQikT856h1poqKKBrF98YUit7ZtlTthZiZ7gEgylxmT/v1vxQjdu3MokMy9mpjIboqyP/62x1atzNPqBUCoz8L+/ezEAvAtZuYhqY9RjI5m4dpM203EDjbyL11//QlThYG+RqMuD0UR/PKL2s+s+M1NN7Ea1CyE+KqrpH+YsWZi6lSVw9V/vVxYyEoNIYpaSgoLWZUqhEoXJyHztBpJokawidEmxrBQLGLs3JmfDhngb7akDQWedBhrZHHdV18tXntTprD9Skou4RbI7dCBPQdq1KCT114b2rEFBSz9ycjo55+3fuxNN3H/IyKYmIPg50WL2MiUmMjnMgtv0DTWZ8nZ5qGHjPfzz4BjZNfT2xWNaiOtXUsFsk8pKSoOwOVS/vrSnulysSFLevRWrcoSpTQ2SSKX7UlRQm6RkURffhl0rPSw+ixoGpNPYiIrST780FzL7XKx/5Lk8Nq1gxeekbd+TAzz/LJlPwTc98QJ7ktSEislzJQ206crxxuzSKDu3VmINwshHjaMiTEtzTi2VE/CRvnupfN1RETRmMTff1fmZP/skmPHknd9dNBYWPXCJkabGMNC2MR4+rQ3MbRXzehvSQ8XnuXvr1LfUtxitvIJ/M9/+PXXX8NrRy75b7+dXLGx5oYkI8iKFu3asY7K6vGHD/MsICUmozALHZxOJ89KkZE8c1eqZD6D5OezV6ucMfXGHT3cbl+b4cSJRRkhL883KM8v7crq+fOV2jU+3jfz9ccfK0m3Y0dewFy8qIrzORx8r33xhXLUadqUFyxyhvUP6+jTxzyDkP+4BcGpU1xWSQqywSbmnBwl3DocrLgIdsxvv/Hfk8T7xx/mfRs/Xv3tYCmKr7yS1xrBit+0asVrEbMQ4qlT+T85HG5Djb3bzepdh4MVDv7IzeW+6Gs76iE1+BUr+iaOys/n/knlgNnltYnRJsawEDYxfvABD+fatex8k5pacgmfH3yQKCmJfn/3XT6HzMEZLpYu5XakO54nSD9kbN/Ox0vXw1D7JQvRdezIx7/0kvVjZXah6tU5D5hJYV/vNZXZaGJimDzMZpDMTNZfSbWkf+ZoCbeb61tK4tGnh5NwuXwlu7/9zbuP0+nkc8n8szJsQ2LTJpU3tVo1lho1jb15pQgxdKiKdZB2zTFjlOpVlmOQW0KCuYuo/7gFwNdf83omOpoF/mDhpWfOqJJQQrByxcwfiojzO6SkKEFYZqUJ1Le9e1VhlqZNzU3Khw+r4QlW/KZ2bSZGsxBifRJzfzuhxN13qxrVRn2TaXojI4vW9c7MVLGN/mWxMjJ4jKpVM/dls4nRJsawEDYxDh/Os0RBAT+V/gFLxcGIEUTp6ex8Y9WYYAbpIvef//DkOWNGeO1oGuuqevWi/OTkooFYVjBrFnmlxlq1rFeud7n4GJl428QhyXtNNY3tvlIKGzvW/ByHDnGfYmL4GH1+Lv++jBxJPupXf3LUNOVVC7C6trBQ9a2gwJc8p0xRTHP6NP9XOWNKt80fflCMkZbGs7HUUQJ8T8rSDFKi1G/+OWADjZsfLl1SJtaWLX3TmQXCgQPsRSmHvmfP4M7Iubkc/ye7rncwCdS3W25R+5t5txIpxQ7A61ozxMXxrWYWQvzf/6r2AvmiSRN5IEXHhQssEQphnOPfzKb41VdcF9xMdWwTo02MYSEsYiws5DCKO+9UxYA//jjsPhRBnz5E7dvTJmkTNPNRtwJZKuDJJ1naGjo0/Lb+9jeiqCg61rs3T9KhppjLzOSZQKoHQ7HLrlvHEpaccQPM0D7X9Nw5dlOUyQLmzTM/x6ZNvG9MDL8GYgGXS6V2ATjm0UhjIAPaAKJ+/egH/eymab6/DxigxrOw0Dc5+UMPMamdPKnstNHRnLBh2TKVbKBBA6XrNLI91qgRMMmm0bOwZg03KQRfeivrmA0b2E9Knnro0ODaXE1T64TISM62p5ewjPom6yJWrsxDEkyCHTBAFW8xK36Tk0NeFabZenf3bjWsgZQfOTksoTocgYvbSP+vqKiiETeaxtOBEGw2DzVVrk2MNjGGhbCIUSZSXLBASUCBoo7DQYcORL1701bpamdliR4MtWqx+1v//myYCBc//kgE0AEpMRmVSQiGadP4SW/b1jwS2wgTJ/Kxyck8Tgb6qSLX9PffedapXJkJJFhavG+/5dlZ5hULZBQrLPRN3hmIHN9+26sGzWzWrKjH6IIFvuEY+ntJV8uRunXjeEuXS3lgACw1HjumDE/R0RyIJ5lJSplyE4I9nf36qh+3ggLOtOdwsM+U1cdk+XI+nSzLdN991mLupKa8YkUWhv09XI2e0+uvV39NXxjYCLm5TFCpqRy2aoYjR8iroTYLIZbrzagol6kyYsgQvhQ1axqT96lT/LsQxvUHDhxQUvGkSeZ994dNjOWYGAEMA7AdgAagvcl+GQC2AtgUykW77MQ4dSpPZBcusNNGcYjGCA0aEN16K+2QNQf1wUzh4uqr2ff7oYf4iQ+2vA4El4uoalU6cd11TDT+JQSs4MQJngn69OH/ZxaN7Y+LF9kAlJZGgZbqhtdUqqUTE1niDKbXk45KUVGcli+QJ29BgW8xY5090QcLFhBFRnKu1GbNihZv/u03lfqtenVf8l6zRmXYqVVLuXQuWKAC/Vu2ZHLUxzjcfLNKqhkZWTSso2lTn/8lx23XLrYHSg2w1ciPDz7g08iuzphhzey+YgUTcLVq/HeMqln4X9Ply/kcVapwfoRg55EVzaKieG1lBpnVJiIieAhxSgpRUlI+XX994H1kpBIQONPOhAkqF77RGlvaIoWwZC72wibG8k2MTQE0BrDKAjFWDbX9y06MzZszIWZn85McKKNxuKhUiWjcONotXfit1DIMhttuY5WiNLT4W/pDwejRVJiQwLqvihVDk/gkxo3jWap1a/OIbCPITDpNmrBokpHh87PhNdU0lu6k5+awYcFnUymxR0Swe2IgPWJ+Ptsy5ew3ebJx2ytWkCs6mme31NSiHhsZGcpjNTbW16h0/Djfd1IilKEY+/erRUJCAmfLcTqVKFWnjpKyAUW+cnM4vI5GK1c66fXXlX0tUPUKf2iaqlYhVZVW8wzs3cvHyKgUvR+SHvpr6nYzGUofJf9CwkYYP15JXV9/bb6v06mGJ1gIcZcuRJUq5VNqauB9Tp/mW8jhCEzKBw8qe+yUKUV/Lyjg9VREBPuIWX1cbGIsx8ToPfn/B2LMyOBhfPFFVrkBJVsGyOXiSeyxx2ifjJuz6qBihhkz+MmUSb2/+y78tmTidBm+YWVm8seBA9wfSShmUdn+0DQ2GMXF8da3rw8RBbymmZksjcsakcFmb03zDc/4y18C6wXz8zmVitx3yhRDclw3Zw6LVEIw+/gnAdd7rMoCxxJ5eb51JadNY5bIzeW+ye8fe4wlQSn2RUYyyVetyp/j44vkXM3t0oO6tTtEACcMsppdzuVSYQWVK/PEHcyxReLiReZ6af69997A++qv6UcfkVda7Ngx+PpG0zjSp359HopgyoKFC9XQBAshHjmSKCGhkADz6KNrr+X/ecUVgZU1o0fzIxEXZ7wWXr1aXbZ//tO8XxI2Mf7/IMYDADYAWA9gjNV2Lysxvv46D+Pu3SwZREeXbPHYM2dIqggzRo7kJ6UkwkBkFp3Vq/k1WMUKM2Rnkysmhm1bSUkcvhAORo3iSbpVK561Qkmnl5HBx0opSuf8ZHpNN25UZeQdjuAl0AsKOC+ZDJQzSgknkZenskADrHI3suPt2MFOMELwf9CnkJPn1IeEPPigImRNY0KXM2SPHqqg4Jw5qp/durHj0WOPqX0HDVLkLYSXkTTPebIRR59P/NHy7ZaTo/x8KlXiYbW6RnK7Ob5RFhxu3958/SevaV4eKxhkTvpvvw1+rh07yCs8d+sWfH+ZKRAIHkI8cyaREBoFcwXQ17gOFEa8c6e6VIHqestiztHRgUt56WETo7UtEqUEIcQKADUNfppBRIstNtOViI4KIaoD+E4IsYuIfgxwvjEAxgBAjRo1sGrVqnC6jUuXLoV0bMsPPkBc7dr4/dgxtFu0CK5mzbB57dqwzm2EuCNH0BHAzlOnEHvhAlyxsfj5hx+K3W7yhQtoDWDTr7+iZWwsjq9cib3NmoXdXpPWrZG8cCEyO3RAlYULsXrECFBUVEhtxF93HTp8+CFOVq6MGlu2YOdjj+Fkr16Wj7/ijjvQ4I03kFO7NiLHjsXv8fFwJSUFvaa1xo1D49mzUVihArTBg7Hu3/9GYaVKAfd3TJyINvv3I/7gQUS89hr2FRTg8K23Gu4bMXEiWpw6hUrr1kE89xwOHT6M/ffeCwgBwHO/AYh56SW0njQJsSdOQOvZEzsefxxnu3RRDd1xB1Kjo1H/7beBV1/F2TVrsOOJJ+COiwNat0bS7NloOX06HCtXIr9BA2x+8UXkNm2KhLfewpWTJyPqp59QWLcutrzwAsSrr6LVww8javFi5FeujMP33Yf0d99FRFYWLkRWQkXXeRCAeOTiLy9fgxM7e2HP1KkghyPgmFy4EIkZM1pix46KSEhwo6AAeO65rUhMvAArj9P779fFokV1UblyPlyuCPztb+uwZk1+wP3lNV24sDYyMhqiYsUCtGiRi6iojUHP9+mnqQDq49AhQo8eGVi16qDp/uvW8f4AkJGxDatWnQm4b15eTRA1AQB8+eV2nDt32nC/GjViAXRCRISGf/3rKB54YJ/hft26Nccvv1TBSy9p6NRpDSpWdPn83r9/JD75pAOysqIwbFgmZs/eLG8tQ4Q6v/3PoixZGUEkRr99Hwcw2cq+l01izM5m28/Eiew2L9WJJYk1a7jdb76hY3378tK4JLB/P3mNOG3aFK/4MRHtnDKFvM4vxVEnDx7Mdq/mzTlg3WrZACKWMK+8UqUX8UiuQa+ppnGsaEQE2zl79Ah+3iNHVAE8wDzsIyeHA/ekiPDww74B/hIy9EJGwPunkCPiQDbpNNO0KfdD4uBBlZg9JkYZz/wTCLz2GkuV8juHg/bd8zTtjeQEAYUR0aT5h3VUqWJcup5UjGJ0NJsya9YMrSzkggV8CpnIKFjpJCIetwsXWBss8xoEqkftj+7dlRnWSuTT1KnKpylYCLG+8PBTT5nv26IFq5vT0gIrHWQIitSIG0FfNiuYBcKWGC1yU5me3IQYASQAqKB7vxpAHyvtXjZi/Ppr9STPn8/vg2VCDhXffENS33Ly2mvZwaQkUFjI5PHooxwInp5erOZ+/vJL5bZXoYJxCQEr8JTY8uYrDZRxJhDWrFFpVTy2U0vXNCuLx1baG61UMNm6lfePj2djlZmdNjubvYClbmzaNCJNK9o3fRJxgPPZ+uPXX5WrZ5UqHCioP8+AAer4xx/nWVfTuAqvPP/gwUSXLlHBU8+SG6xuXRXbm47/RVUOyZOeM3Lz2Lr1s/jGjUyEiYm8RkhPD5z1xQibN7OPkCwQYnVd6XQ6aeZM8toyr7vO2nGZmXypWrfm29SKtv7uu1UeiWBEeuAA75ecHDybzowZ6nKYeZbecAOvcypWDFwNTVYdSU42t+TYxFiOiRHAEABHAOQDOAngW8/3KQCWet6nA9js2baDVbCW2r9sxPjAA/xU5+Xx05OcHJqEYwUyP+qePXSmY0ee8EsKaWksKc2cyaQWjjepB06nkz01r7yS26xcOTTPUj169OAwhCZN2PUu1FCSsWP5/6SmEqWn0w9Wpddt29jToVYtsuxE9P33LMElJDA76Osv+uPSJU4qrjMcOY3EnJwcX8cdo5CP/fuVx2p0tG/1Dk3j8lTy+L59VfWSlSu9Hqr5NVOpf+M/6EpsoKyYKmxbrFqVJVW5QEhKUnGTcmvQgOjECfruOyaXKlWYbFq1Mg+U98fp00yI0rw7cKD1S71w4S8UH68KmAQKe/CHLJOaksLns4IhQ9geGcxuSMREGxGhUVoaZ+0xw9q15BXip04NvJ/eKzZQXe+9e5k8gy0QbGIsx8RY2ttlIUZN44l38GB+X6cOx6+VNKRq8swZOt+qlfWlsRV0787SiSTfYCUOTOB0OjlhJsBxiB5pLSxIT1lPSStLdRf1yMxkMcajYzs4fLj1Y2WQWc2avNDZty/4MXL84uNNM8kQERNU165ecswYMcJYj1ZY6Fvl4447ioo3586pOk8Ae0br21q6VKl669b1inLuI8foVM0WRADlI4rWTf2U+9WrF3ln6iefpHNt2qjP0oPVs30oRlGkw+3NONe1q7E0EwgFBXwrx8QwsTZoENrxAwce8eZE7dXL+nG3364iVKwWqbnmGlUU2EoIca1aOdSgAa8NzaBpHIJbvTqvcQKpUzWNSTY+nvsufav88dRT/DjbEqNNjIbbZSFGGfX79ttEe/bw+zlzwj5vQEgvQpeLLjZowGqyksKdd/LSWaaxCydrjQdOp1ONwwsvsAQ1Zkx4jWkaS8bp6UxurVqFLjV+8gn3pVMn0iIiiNavt37sXXfxsQkJbH+1Eh4ja3HGxPAsalaM8OJFLlEmJcdAke9uN9uvJSHdeGPRlHv5+Tzby33GjPEl0D17lLgTF0cnP/gvde9O5EAhLUu7Tx13773MVi+/7PVkPd+yJS92pMSYkkIaBP0TUwkgug7f01L0omF9LoZcWGX8eG6ycWOe8LdssX7s7t0slXXqRCFZL9xulk5l8ZGdO60d16KFSiJkJYS4TZtzXhtmsCTpDzyg7Jd6jbg/Fi9WlypQLGVhYfDHxCZGmxjDgmVilBHMR4+qkA0r/tKhYvx4XhYTUXbt2kXT6hcHTz7J/T5+nF/9SiKFAu+4NW3KqtDhw3kWCiXkQg8ZtC+TYodK2prGmXQSEyk/KYkJzmpfsrPZCcZKQJ3+fDLO1OHgzEJmeWMvXCDq2JE0SY6PPmpMjv5q0auvLipaaZqKIQVYE6BPT3PhAmk9rycCyA3QY1Gz6N13ND7dp5+qmbl5c76ft21jiVmqUj/7jCg1lVyIoPGOOQQQ3YKPKRd8nBYbG5J2QEYKybzooaYVHjaMKDbWRUlJvFawCunH1rEjS2pWw1BSUjh8BLC2Rurb95g3sUEwm6RMPB4sq47bzZcnMZEl7HAjwmxitIkxLFgmxq5debIlYiOEmWtZcXDrrd6y4fmVKoUvhRlBqgB37WJ9TrgOM6Qbt0ceYWJ47z1u26qroD/cbibZli1ZcmzbNvTx3bePKC6OLjRtyn0JpRjyrl08C8kAOSMPUX8UFnLcot7BxczmfP48XWjcWMUazpwZ+D/OmaO8VVu0KJpCjoilZJkupUEDr0r37Fmim4e66WlMIy95DhqkItD1UmV8PDuT5eTQKekEJATlTHmMbkpbSwDRJDxPf6AeaVAxj8yWtwS1K//yC5tkpQRmlnvUCNI368orzxEQmiJAmtKTkzl43go0jZUAnTpZDyG+66793iEJdtvk5fH6KyWF8/mbtT9vnhrqQCVCg8EmRpsYw4IlYjx7lp+wRx/lyTApyVIl+bDQuzfrfoi4GHBJppv76Se+BZYtY6K3Eu0cAN5xk8vyd95hR5ZgpZ3MIO19Up0YLHeXEWRS9w4duD9WbIYS0tO4Th221VmJQcjKYhKXUtgDD5jOdj8tWcL7S3VlIJ982R+Hg+89WWbKH7/8ojLpJCfTry+toVq1mIyeeYbI9Zkun2rDhsoemp2tKggDRNOnk/P774neeYfOOqpRV/xIAm7qn7KBLoHrO2rVqxfNt1qpUkC96KFDbIJNS+NL0aULa4KtQtNYGK5alSg+vpCGDLF+LBEPs3TWCVZURSI7m7yCelKStWOmT9/uVRwECszXY/hwpZwwUykXFnJIS8WKvI4NVX1NZBOj1a3MO1AaW6kTowwc+vVXRQSffBL2OU3Rvj2rBN1uPs/f/15ybcuyAW+8wXa1GjXCbso7bm43e3UOHcpbzZrhe+oWFDApde7Ms2mHDqFLjfn5dKluXdadJSZyCYZQ2pCq3MqVWXK34iFy/Dj3VxYInjUr4K5Op5MXWq1bK3I0u8bLlrEIIx1ijMh6715y12WJLh9R9NcrPvO1X23dqlSlCQmqzqSmEb3yileCzWzenDI2naem9fMoGnn0KYbRRSTSsgcWKd2iw8FjqydHgN0sdQavnBxWnVaowENTo4b1NHP6vw4oH6FQ7JLHjvExvXvzq9XiN4cO8f5dulgPIX711fUE8LBY8ceT04mMhjHDnDlqiEOp6y1hE6NNjGHBEjGOGMGTksulnC5KIrG3EdLT+XwXL1LI6sBgcLt5kp06VaXrt1o6wQ8+4zZmDJOQVNX++GP4fZRVMGSVCCs5v/yw/pVX+FgZZD93rvWDc3NZ1EhMZBKQXsjBsGMH6+xk2EOAXGLecTt9mtXGVsjxl1+4XYeDic0vhdzatUQdGp6jH6HzWH36ad9+nz2r4iWFYN2c/H3tWqIqVWgjWlEtcZwqJhRSg7R8+kTo8rI+9BDbPqUauEED9V5udesSHT5MmsamcSHYvudwFM16FwxuN6tf69blv9y9+8mQjpd2zQ4deJitYtMmPq5zZ+shxAsW/EIAa7xbtAi+//nzrAFPTeXoJDPk5vKiolIlVr+GmjbZJkabGMNCUGJ0udj6LaN3r71W2RpLA8nJnBtTLnnffLNk22/UiL0ZvvyS2//997Ca8Rk3mZRgwQJWQYZqSNIjO5udeHr14pnj6qtDlhqdTieruh0O1qVVrsxZZqxi3z7Wo0k7nFHQvRF++IHVlsnJfG4DUvcZt1On2MNC2gkffzxw21u28LhERHjjGAsLmasiI1laWbE03zfkY9QoX91lYSHfW/L3YcO8DkMrvrxIFSKyqDYO0ya0pCnRs+n7FRpn7Jbq0xYtWNqsXp0/V6yoSlzILSKCnhuy2kdamz3b2vDpIddYAwbwX37//dASaQwZwmMSHc2cbhUyk02HDtZDiL//3kkxMSxUx8RYc6i+/nomPIBo+3bzffW1rENNcWwTo02MYSEoMf7yCw/bp5+ya1hUlHFdmJJAYSF5pQdZHtyqccQqevfmJ3j79mK17zNuubksYY0ZwxJWSkr49R6JlJ1Q1qOUqr9Q+nb2LBNJq1bMHKF690ovWSkZrVpl7Thpp0xKYlHHz1ukyP124gQ7HUlyfOKJwG3v28ciVEQEaRER9I/6/yGA/bXOnfPsY+TV6l9Lcu5cdb6mTemjV85QVBRRSko2zYx9TjnY3Hgj3/MHDqjkAnFxXH5CX81DJnIHaCn6kICbhlRYTsk4T8OHh64Nz8tj9WurVny6kSNDS8SRl8e3Y//+3K2lS62f+/PP+Zg2bayHEDudTmrcmBUNQJEqaIZ47TU1fGaXnIgdmpOSeH2XmhqandYmRpsYw0LQB276dF79nz/PTxhgLbljODh9mtt/5RWeUAHfDCclgfvu41V+Xh5P+MGMHAFQZNykffGDD7jfwapWmCEzk6WRm25i+2X37uH1TYodsuJFKDMkEZdTB5joa9SwnuZFqqkrVODjdFHihvfb8eMc4CfJKlC6EyLSjh6jsynNyQ32hN1wawBp9uOPVXt16xYNLVq3jrQqVek5TCaAqF2D8xQfX0ipqUSH3l3OpC4NZzt3sv1XxnsCvAj66CPl2FOnDu2KbklJOE+twQ47+SKacj4P3YHqX//iJm+6iR+9PXtCI0aZL+Kmm3gdG0qog8xV0ayZ9Uw5TqeT+vRh3yar04O0Zdata03Vq08n9+9/W+uX7Fsg2MRoE2NABH3grryS1adERJMmsa7ELF6tONi1i7xS3KpVFI60FBRSL3PxIksBoWSJ0aHIuEkS+v770PVXRpg2jWeC6dO53RCMVN6+aRrbGStWZMmvTh2VKs0K8vPZSJaQwCribt2spb3TNPbOlRJWo0beyO+A99vRo9xHqbb8xz+K7HLiBKsWk3GOtlXsRJqHHAMWRv7pJ+WxWqGCj+3X5SKacE82AUQ34xPKRgzNrPQ8HTroaefIESUJRkYqzcIXX6jsOg0asH2yWTPKREVqjF1UzXGGMlDHN6xj8GDLxrHMTF63XXMNP2p33knm42aAv/6Vu6h/dK1CKivq1bOuZHA6nfTAA6Fn2GnbVuWM3bXLfN9Tp/hWqlo1tLreNjFa2yJKvl7H/2McPgxs3gz078+fv/sO6NoViIsrnfOdO8evVaoAly7x+woVSvYc9erxa0YG0KgRsGdPybTbrx/gcAArVgC9egELFvC0GC7++lcgJgY4ehSoUQP4xz9Cb0MI4I03gPx8IC0NOHQImDnT+vHR0cBnn3E/atQAfvoJmD7d2nlfeQUYMIDPfeAAv8/JCXxMSgrgdAKpqUBUFPfzqae8Py9ZArRsCSxfDjz+UiU0PbICorenRNcLLwB33QW4fEsUoWtXYN06/u+XLgHXXQd8+CHy8oBbbgFeeSceva934wZ8h3jk48nzU5A6fRSQlwfUrg1s3Ajccw+3O3IkcOed/Czs3Qs0acKvXbrAPeMx3Ja+BvuQjgXuITiLSqAIXcmqRYt4/NavDzp0zz0HnD0L1KwJuN2hXS6Jb74BunThR/f660M79tw5frxzcoDEROvH1asHZGYCCQnWH6lBg4CDngpYCxea71utGl+K8+f50Z03z3rfbFhAWTNzaWylJjG++SZ5reMyW0yg/EwlAVm947ffVIqzYuQzNYRMB7d4MTvJJCSElajAcNx69GAd1Ny56n8UB+PGsQQ1Ywa3t3p1eH174gk+vn9/lp5C7Ze8Ls2a8evChdaOu3SJPTikunHgQFq1YoX5MQcPsrjiOSZv5lPeFLKtW3OSGi/y8znIXkpmAwYYazPOnGFbI0DnkEzdUg94TYgAV2rIfekNTqUHsG5PX97q44+VJNukCfexsJCvD0DTMIsAorE37KFzSOb9qlQhb2JV/TZhQsBwnqNHWSoaOJD/vj63hVWJUZrm77yTX9essXSYF3fdxdrjhATrIcROp9Nrm2zShM34ViA9YNPTrfnzHTzIwnu1atbretsSo7WtzDtQGlupEeOAAay30DSVhsKsXkxxIQnljz84JyvAxoiShLRjvvSS8gAINcCMAozbyy+rMSoJJ6UDB9jING4c65As1pAs0re8PLbhpaWxzbJly9ArgUhHoPR0Vs3u2WPtuJMn+RhPhYujN94YfCGSkUGUlkbuKCbH6Xiapk0L4HThcqnYSyBwdu+8PDo46EFqhm0UhXx6JuUlikEu3XyzKrKy/pVXlD4wOdnXTrxrF3t+SPXwN98QEdHHUzcSQHQf3qAM1KG7228i9/WewEMZr+FPjrVrG2bnHjOGb5tbbmFiPHhQ/WaVGGfP5lMMH85a5FAzFA4axLeH9IGzAqfT6a2c0bUrr2usQNN4epGJmqyU7xo9Wq2zPvzQWt8CwSZGmxgDIuCNk5vLAdvjxvHn0aPZLayky0zpIb0Ozp1T70MpQWAFmsbL4YkT2UsACCuNm+G4ZWRwe88/zyRWr17x0+aNGsXX4dFHuW0L4SWGfXM6+XjpTWkShG+IwkK2McbH84zbsqX1VCS7d/O9IxNqGtgP9SgoIHph7D46iFTKQ0zw/mqaGh8huG9+KeQ2byZKSdGoYkwurUR3IoD2V7uKXMdVPK7T6SQ6fFjZFiMiOBmExKVLLM55CG7dqJcoNlajzu3yaWMkJ0LVIiO5GPZbbynnH33dS7kJwSzmuT927uQ10O2382HysfPpmwX07MmCfVoahZwph4gvsaznbDUNm9PppDNn+JhevfivWY03nDhREZ2V1MU7d3L71arxWi/YdGQTo7XNtjFaxapVbGjo358f5RUrgB492I5WWjh7FoiIAJKSgKws/i4UQ4cVCMEGkYwMoHFj/q6k7IxpacCVVwKLFwNDh7JtbcOG4rX58MN8HQoLgcqVw7M1AkD37sAdd3DfbrgBeOKJ0P53ZCQwfz4bkZKTga1bgQcesGZHbdSIjYQ5OShISmLD2fvvG+66cyfQuTMweU465gx1IqpWVbZxTp8OPPOMcftC8Lj861/cn+3buZF9+wAAK1cC3boBRALtu8TiXdwNd0Qk6p5ZB8dVbYEdO1RbV1wBrF0LDB8OaBr/x7vuAgoK+L8vWgS89BJOipoY/OFNqK6dQPW4i+gkfsexEVMgXC7g7ruBZcuALVv4Xtu1i69fu3bqPETApElA27bAmTOYMQOIj+fTREZaM+X6IysL+PFH4Oqr2XYXqn0R4EdQmvVDefQqV1bHEXmHPigGDeL/XL8+8Pnnwfdv0gQYMgTIzgZ277Z2jA0LKGtmLo2tVCTG8eNZZZSTw8s0gFfBpYmxY9k2Q0Q0dSq5oqNL5zwDBqjSTrGx7G0bIgKO22OPsaSxaxeLANOmFa+vROzVmJysbI1m9XrM+nb6NI/vVVexBNO9e+gS7fLlvGRv3Tr0e2LBAq6uUb06j5EufMTt5iid2FjWGn/xheeHPXtY/Ss9QYPZuOfO5XF3OIiqVaOPZx2gqChW13XuzE28/DKxl2/FivxfEhKIvvvOd9w0jUUmGSPQtq1XCs3PJ+rS6iLFIZvWozWdQzJ9Odmjdl25UiUCrVmTRdUxY8grKXbrViTf6q+OLgSw9BQRYezQbEViXLiQm5RRNrt3Bz2kCGrWJLr5Zj7+o4+sHSP71qqVKpfpvX5BUFjIigQZA2lW2lNCqm2rV2fh3ixk2JYYrW1l3oHS2EqcGDWN1YCyxo1MUxZKQupwcMstHAxFRDR2LJdPKg1MmMCTl6ax2i2UWj4eBHzgNmzgsXr3XfbqaNCg+OpUWWLhySdZjRlER2Y6icoqIDJDzDvvhN6fxx7jY1u0YD3YunWWD/1DhnFUq8aEtHYtHTmi8oH262dQSGPXLo6HlOT4z3+an2TxYtKioumFCI5RvLr5eW+eA598Drt3s5HLU8Vjl5G3yXffqZjGypVJ+3WNt9rWI+Mv0M9gttWE4H5pGi9AZBHEiAhm/OXLvXZWSklh7xFwtY5rsIpq4Dj9XPMmqhp3yTCvqRVivOsuvj0GD+bInFBvO03jy3nHHeT1T7MC2bdBg5R/VrBLpMfIkcq0a1V9e8MNfMzMmcpGbNY3I9jEaBNjQBjeODt28FBJ+8rAgdYt6sXBDTewswIR0ahRlFOzZumcR9ovz5xhm5sk4xAQ8IHTNJ6VBg7kSGTAWpWKYOjRgyUnGddoklHadBLVNA6Sq1SJRajkZOOSTmZwubg/sbFMWHXrFs0uY9Y3WT2kUiXKTapObSrupfh4doIOOJnv2MEigiRHE4OU20008S+HCSAaJj6jC0ikYdGLpL+ML06fVqIkwDGR/iLIvn28wAHodTGOAKL77+eha3uliwr+pitv1bs3p2rRNPZekRJnr17sSCbP5XAQ9epFX6M/AUSv437SAMqLSjQsahiMGN1ulvaGDeN+3XWX6e6GyMrirt3nqedsNYRY9m3iRF5DVK+u4i+tYMECPl/Dhlzuygpk6rpgtdJtYrSJMSwY3jjPP89DJd3SK1Qo2bqIgdCuHYsMRERDhlBWenrpnEfmSV27VmX2CdFL03SikmrojAxVrqu4kOlMZs9myePmm8PrGxGTTFQUL/FjYng2DRUnTvBMnJbGoli/fpbS4DmdTiKXi/IH3ERuCLqIRDoU04D2rbGQlH7bNtazxsXxWBjkcM3N5b8DEI3ud5JOoRoVIJIluvfeM243L4/zyklyGziwaLqYrCxydn6EIlFAN2IJza/0AFVLLlBKlGXLVHWRWrXUwmX1aiUOVanCzlPPP08UEUEuRFCL2D+oQcQ+KkAkufXOOffd5+NSGuyarltHXk9SgDPzhYqDB/nYCRPIqp+XT99eeomP69SJ87VbRVYW34Yyx7sVR3RN4zV0vXrmnrc2MVrbysT5RgjxvBBilxBiixDiSyFEcoD9+gghdgsh9gohpl3mbip88w1HU9epA/z+O1v1w7Hkh4qzZ9mKDwBZWXCXViIBGeR/4AA7hrjd/L6kMGgQkJsLbNrETi+ff27NScUMPXsCV10FvPYaMG4ct7lzZ3htNW3KTj2LFwMjRnBbS5aE1kaNGuyMc/gwOxwtXRrYOcYPK39woPmGefgNnRDnKMAVdAjpE25kjwozNG8OfP89e6nExwNTp3JwvwfnzwO9e/PfGT8eWLS6OoZU+xlUsxaEw8FONM8/X7TdmBjgo4+Qcfvt/HnJEo6QP3bMu0vGmUQM++NpNKiaiXkYiVvOv4E91bsiPfEU79CnD1+Ppk2B48fZqea999gJ6MAB4Jpr+P7u2JEdcbZswbyk8diW1wBPRT2On9AFQt+nt95iRyCLDlLffMM+SAUF/LlHD0uH+eDsWX6NjOTXUP3e5GNVvXpofl2JiXx7y2D/L74IfowQwKxZwIwZxX+0bKBsJEYAvQBEet4/C+BZg30cAPYBSAcQDWAzgGZW2i9RiTEzkyUA6TTyxBOsDjpzJuxzWEbFiqyPISLq1InOtm9fOue5cIG86rjVq/n9V1+F1ITpCr6ggI09d96pCsr5RKaHCZnY+623WGc1YkTofZPIyWE7V4MG7MFQuzaPS6h4+mnu01VXsXT83XcBd2Vp7hABnCVuw/LTrD+rUIHvsf79rQXebdzIqmApob3wAh06xH8jKopDLuPj+e/t308cgtGkiSpxFSCFnNPpVAnGhWCJeNMmunSJHUuSk7kAyI1YQgWRHpVu9eq+Nta8PA5tkpLfiBH8xzWN7zdPEoHcq3tQam0XXVV5L2keW2N+r/5KVawP63j6aXIGCSnq0IElqO7d2S8qHKxYwaecMoVfDx+2dpy837Zs4eNuu41fvYndLUDmaG3YkB14Sgq2xGiRo8q8A8AQAB8ZfN8ZwLe6z48AeMRKmyVKjJ99xsP000/8uVs3VnGWNgoK+Lwy1X6LFnSqW7fSO1/lymwokgFYVq3+HgQln9tuY7XfkSM8uZVEwWW3m90rW7bkyT0iwtD10GrMmzeO8557uI/+wXNW+9SnD3ttpKfzfzaYUTdtYl8dgJ2PvSGQe/eyI07Vqvzj3Xdb8xpZv56ZKiGBtqAF1U66SBUrsuNuZCTnCfVxYjl9mquqSJvf6NFFSNg7bqtW8SItIoK02Dga2uUYRUSwFjsqyqM13rZDleWKjOTk8Xp88IHyPm3QQDmurV9PVLUqvYBJBBC9P3kLDcZCRbTp6czCenIEKCstLaAt+ORJ/luPPsqXYfLk4MNnBPnoT53Kr1ZDiOW4SRul9OsKJevO8eP8H3r04Ncwcm6Y9s0INjGqTfB4lB2EEF8B+JSI5vl9PxRAHyK6x/N5FICORDQ+QDtjAIzxfGwMYHeYXaoK4EyYx5Y27L6FB7tv4cHuW3j4s/YtjYiqXc7OlFdEllbDQogVAGoa/DSDiBZ79pkBwAXgo+Kej4j+DeDfxW1HCLGOiNoXt53SgN238GD3LTzYfQsPdt/+/Cg1YiQiU+8UIcRoADcC6EnGYutRAKm6z1d4vrNhw4YNGzZKDWXlldoHwFQAA4koUO2dtQAaCiHqCSGiAdwCIERXQRs2bNiwYSM0lFWu1NcAVADwnRBikxDiTQAQQqQIIZYCABG5AIwH8C2AnQA+I6Ltl6FvxVbHliLsvoUHu2/hwe5beLD79idHmTvf2LBhw4YNG+UJdnUNGzZs2LBhQwebGG3YsGHDhg0d/ueJsTynpxNCDBNCbBdCaEKIgC7WQogMIcRWj712XTnrW1mMW2UhxHdCiD88r5UC7Of2jNkmIUSpOnYFGwchRIwQ4lPP778JIeqWZn9C7NtoIcRp3Vjdc5n69Z4Q4pQQYluA34UQ4hVPv7cIIdpejn5Z7Ft3IcQF3Zg9dhn7liqEcAohdnie0YkG+5TZ2P0pUNYZBsp6Qymnpytm35qCkxWsAtDeZL8MAFUv87gF7VsZjttzAKZ53k8zuqae3y5dprEKOg4AxgJ40/P+FnDSi/LSt9EAXruc95fnvNcAaAtgW4Df+wFYBkAA6ATgt3LUt+4Avr7cY+Y5dy0AbT3vKwDYY3BNy2zs/gzb/7zESETLiT1gAWANOF7SHx0A7CWi/URUAOATAIMuQ992ElG4GXxKFRb7Vibj5jnHXM/7uQAGX4ZzmsHKOOj7vABATyGEQOmjrK5RUBDRjwDOmewyCIDMPbcGQLIQolY56VuZgYiOE9EGz/sssFd/bb/dymzs/gz4nydGP9wFXkX5ozaAw7rPR1D0RitLEIDlQoj1ntR45QVlNW41iOi45/0JADUC7BcrhFgnhFgjhBhciv2xMg7efTwLtQsAqpRin0LpGwD8xaNyWyCESDX4vSxQ3p/LzkKIzUKIZUKI5mXRAY9Kvg2A3/x+Ku9jV6Yotcw35QmXOz1dSffNAroS0VEhRHVwbOguz4q2PPStVGDWN/0HIiIhRKCYpDTPuKUDWCmE2EpE+0q6r/8P8BWA+USUL4S4DyzZhlHI6X8KG8D31yUhRD8AiwA0vJwdEEIkAlgI4K9EdPFynvvPjv8JYqRynJ4uWN8stnHU83pKCPElWD1WbGIsgb6VybgJIU4KIWoR0XGPeuhUgDbkuO0XQqwCr6xLgxitjIPc54gQIhJAEoCzpdCXkPtGRPp+vAO24ZYHlNu0kXoiIqKlQog5QoiqRHRZkosLIaLApPgRERlVdCy3Y1ce8D+vShV/8vR0QogEIUQF+R7sTGToKVcGKKtxWwLgDs/7OwAUkW6FEJWEEDGe91UBdAGwo5T6Y2Uc9H0eCmBlgEXaZe+bn+1pINhmVR6wBMDtHg/LTgAu6FToZQohRE1pIxZCdADPtZdjoQPPed8FsJOIZgfYrdyOXblAWXv/lPUGYC9Y177Js0nPwBQAS3X79QN7d+0DqxIvR9+GgHX/+QBOwlOfUt83sDfhZs+2vTz1rQzHrQqA7wH8AWAFgMqe79sDeMfz/moAWz3jthXA3aXcpyLjAOBJ8IIMAGIBfO65H38HkH45xspi357x3FubATgBNLlM/ZoP4DiAQs+9djeA+wHc7/ldAHjd0++tMPHcLoO+jdeN2RoAV1/GvnUF+x1s0c1r/crL2P0ZNjslnA0bNmzYsKHD/7wq1YYNGzZs2NDDJkYbNmzYsGFDB5sYbdiwYcOGDR1sYrRhw4YNGzZ0sInRhg0bNmzY0MEmRhs2LiOEEP8VQmQKIb4u677YsGHDGDYx2rBxefE8gFFl3QkbNmwEhk2MNmyUAoQQV3mSbsd6shNtF0K0IKLvAWSVdf9s2LARGP8TuVJt2LjcIKK1gosfPwUgDsA8Iiovqfps2LBhApsYbdgoPTwJzkWaB2BCGffFhg0bFmGrUm3YKD1UAZAIrqIeW8Z9sWHDhkXYxGjDRunhLQAzwTU+ny3jvtiwYcMibFWqDRulACHE7QAKiehjIYQDwGohRA8ATwBoAiBRCHEEXNXj27Lsqw0bNnxhV9ewYcOGDRs2dLBVqTZs2LBhw4YONjHasGHDhg0bOtjEaMOGDRs2bOhgE6MNGzZs2LChg02MNmzYsGHDhg42MdqwYcOGDRs62MRow4YNGzZs6PB/xSRGJVg/5hEAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for index, t in enumerate(t_vals):\n", " for f, label, color in zip(\n", " [f_pos, f_neg],\n", " [\"pos\", \"neg\"],\n", " [\"blue\", \"red\"],\n", " ):\n", " x2s = f(x1s, t=t)\n", " \n", " plt.plot(\n", " x1s,\n", " x2s,\n", " label=label,\n", " color=color,\n", " )\n", " if index == 0:\n", " plt.legend(loc=\"upper left\", bbox_to_anchor=(1, 1))\n", "plt.grid()\n", "plt.xlabel(\"x1\")\n", "plt.ylabel(\"x2\")\n", "\n", "_ = plt.ylim(-2, 2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### A zoom out version" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for index, t in enumerate(t_vals):\n", " for f, label, color in zip(\n", " [f_pos, f_neg],\n", " [\"pos\", \"neg\"],\n", " [\"blue\", \"red\"],\n", " ):\n", " x2s = f(x1s, t=t)\n", " plt.plot(\n", " x1s,\n", " x2s,\n", " label=label,\n", " color=color,\n", " )\n", " if index == 0:\n", " plt.legend(loc=\"upper left\", bbox_to_anchor=(1, 1))\n", "plt.grid()\n", "plt.xlabel(\"x1\")\n", "plt.ylabel(\"x2\")\n", "\n", "\n", "_ = plt.ylim(-5, 5)" ] } ], "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": "3.8.2" } }, "nbformat": 4, "nbformat_minor": 2 }