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@genkuroki
Created November 22, 2017 05:16
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Stirling's approximation
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{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "この Jupyter notebook は https://next.juliabox.com/ にアップロードすれば使える。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "f(x) = gamma(x+1)\nf0(x) = x^x\nf1(x) = x^x*exp(-x)\nf2(x) = x^x*exp(-x)*sqrt(2*π*x)\nf3(x) = x^x*exp(-x)*sqrt(2*π*x)*(1+1/(12x))\n\nx = 1.0\n@show f0(x)\n@show f1(x)\n@show f2(x)\n@show f3(x)\n@show f(x)\n;",
"execution_count": 1,
"outputs": [
{
"output_type": "stream",
"text": "f0(x) = 1.0\nf1(x) = 0.36787944117144233\nf2(x) = 0.9221370088957891\nf3(x) = 0.9989817596371048\nf(x) = 1.0\n",
"name": "stdout"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "f(x) = gamma(x+1)\nf0(x) = x^x\nf1(x) = x^x*exp(-x)\nf2(x) = x^x*exp(-x)*sqrt(2*π*x)\nf3(x) = x^x*exp(-x)*sqrt(2*π*x)*(1+1/(12x))\n\nx = 10.0\n@show f0(x)\n@show f1(x)\n@show f2(x)\n@show f3(x)\n@show f(x)\n;",
"execution_count": 2,
"outputs": [
{
"output_type": "stream",
"text": "f0(x) = 1.0e10\nf1(x) = 453999.2976248485\nf2(x) = 3.598695618741036e6\nf3(x) = 3.628684748897211e6\nf(x) = 3.6288e6\n",
"name": "stdout"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "f(x) = gamma(x+1)\nf0(x) = x^x\nf1(x) = x^x*exp(-x)\nf2(x) = x^x*exp(-x)*sqrt(2*π*x)\nf3(x) = x^x*exp(-x)*sqrt(2*π*x)*(1+1/(12x))\n\nx = 100.0\n@show f0(x)\n@show f1(x)\n@show f2(x)\n@show f3(x)\n@show f(x)\n;",
"execution_count": 3,
"outputs": [
{
"output_type": "stream",
"text": "f0(x) = 1.0e200\nf1(x) = 3.720075976020836e156\nf2(x) = 9.324847625269344e157\nf3(x) = 9.332618331623734e157\nf(x) = 9.332621544394415e157\n",
"name": "stdout"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using PyPlot\n\nf(x) = gamma(x+1)\nf0(x) = x^x\nf1(x) = x^x*exp(-x)\nf2(x) = x^x*exp(-x)*sqrt(2*π*x)\nf3(x) = x^x*exp(-x)*sqrt(2*π*x)*(1+1/(12x))\n\nfigure(figsize=(9,3.8))\n\nsubplot(121)\nxmax = 2.1\nx = linspace(0,xmax,100)\nscatter(0:xmax, f.(0:xmax), color=\"k\", label=\"\\$y=n!\\$\")\nplot(x, gamma.(x+1), label=\"\\$y=\\\\Gamma(x+1)\\$\", color=\"k\", lw=\"0.9\")\n#plot(x, f0.(x), label=\"\\$y=x^x\\$\", ls=\"--\")\n#plot(x, f1.(x), label=\"\\$y=x^x e^{-x}\\$\", ls=\"-.\")\nplot(x, f2.(x), label=\"\\$y=x^x e^{-x}\\\\sqrt{2\\\\pi x}\\$\", ls=\"-.\")\nplot(x, f3.(x), label=\"\\$y=x^x e^{-x}\\\\sqrt{2\\\\pi x}(1+1/(12x))\\$\", ls=\"-.\")\nxlabel(\"x\")\nylabel(\"y\")\n#ylabel(\"\\$\\\\log_{10}\\\\;y\\$\")\n#yscale(\"log\")\ngrid(ls=\":\")\nlegend(fontsize=9)\ntitle(\"Stirling's approximation of factorials\")\n\nsubplot(122)\nxmin = 0\nxmax = 4.2\nx = linspace(xmin,xmax,100)\nscatter(xmin:xmax, f.(xmin:xmax), color=\"k\", label=\"\\$y=n!\\$\")\nplot(x, gamma.(x+1), label=\"\\$y=\\\\Gamma(x+1)\\$\", color=\"k\", lw=\"0.9\")\n#plot(x, f0.(x), label=\"\\$y=x^x\\$\", ls=\"--\")\n#plot(x, f1.(x), label=\"\\$y=x^x e^{-x}\\$\", ls=\"-.\")\nplot(x, f2.(x), label=\"\\$y=x^x e^{-x}\\\\sqrt{2\\\\pi x}\\$\", ls=\"-.\")\nplot(x, f3.(x), label=\"\\$y=x^x e^{-x}\\\\sqrt{2\\\\pi x}(1+1/(12x))\\$\", ls=\"-.\")\nxlabel(\"x\")\nylabel(\"\\$\\\\log_{10}\\\\;y\\$\")\nyscale(\"log\")\ngrid(ls=\":\")\nlegend(fontsize=9)\ntitle(\"Stirling's approximation of factorials\")\n\ntight_layout()",
"execution_count": 4,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002C7D7320>)",
"image/png": 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xAuPGjcPff/+N4cOHIzw8HFlZWaWyDow9jds9bvcsxe1e2eJ2r+K1e9zJs1EtW7YEAKSkpBinWbozKU+BgYFISkoy21HduHHDovmdnJzQo0cPxMfHIykpCaNHj8b3339f5PybN2+Gs7Mz9uzZg+HDh6Nr167o1KlToeX/+OMPs2m///47XFxczIYAPFv2xo0bMBgMJleFKkxgYCDu3r2LzMxMk+nXrl0zPv+0mJgYZGZm4vPPP8fRo0fL5U9DN23ahDp16mDLli0YMmQIoqKi0KlTpwKvpGapwMBAGAwGs+zu37+P9PR0s/UWq6T5SrF9+3bk5uZi27ZtGD16NKKjo9GpUyezxqZu3boAgCtXrhS5vMLyDAwMxB9//GHWAElZp7S0NPz888+YNm0aZs2ahT59+qBz586oU6eOxcto27YtPvvsM5w9exZr167Fr7/+ivXr15e4LoyVBLd73O6VBW73LMPtXsVr97iTZ2WJiYkF/pKTP947JCTEOM3V1RXp6enlVjdLREVF4e+//zY5j0Kj0WDZsmXFzvvsZW1lMhmaNm0KAEUeJpfL5RAEweS8gps3b2Lr1q0Flj9x4oTJeOzbt2/jp59+QmRkpNmva3FxcSaPv/nmGwBA165di12f6Oho6PV6xMbGmkz/+uuvIQiCyTI2bdqEDRs24IsvvsC0adPw+uuvY8aMGfj999+LfR0p8tf36W3u1KlTOHHihEk5FxcXALBoe4uOjgYAs8Z6wYIFAIBu3bqJr/Azr2NpvlIVlJNKpcKKFStMykVGRsLd3R2ff/652ReGp+d1dXUtcLhIdHQ07t27hw0bNhin6XQ6fPPNN3Bzc0NERESp1B0wf38KkpaWZjZfWFgYgKI/k4yVBLd7/+B2j9u94l6H2z1xdQe43bPtf3asBN59913k5OSgT58+aNCgAfLy8nD8+HFs2LABQUFBeOutt4xlw8PDsX//fixYsAA1a9ZEcHAw2rRpY8XaA6NHj0ZsbCwGDhyICRMmoEaNGli7dq3xZNyifhkbOXIkUlNT0bFjR/j7++PWrVv45ptvEBYWZhybXZBu3bphwYIF6NKlCwYNGoQHDx4gLi4O9erVw6VLl8zKN27cGFFRURg/fjwUCgXi4+MBPPkvnGclJyejZ8+e6NKlC06cOIE1a9Zg0KBBaNasWbFZ9OjRAx06dMAHH3yAmzdvolmzZti7dy9++uknTJw40fjr14MHD/DOO++gQ4cOGDduHAAgNjYWiYmJGDZsGI4ePWo2Vr20dO/eHVu2bEGfPn3QrVs3JCcnY8mSJQgNDTUZlqBUKhEaGooNGzbgueeeg4+PDxo3blzgGPxmzZph6NCh+Pbbb5Geno6IiAicPn0aq1atQu/evdGhQ4dSqbul+ZaGyMhI46/to0ePRlZWFpYtWwY/Pz+TowweHh74+uuvMXLkSLRq1QqDBg2Ct7c3Ll68iJycHOP//oSHh2PDhg1477330KpVK7i5uaFHjx54++23sXTpUgwbNgy//PILgoKCsGnTJhw7dgwLFy40Ow/DEh4eHnj55Zfx5ZdfQqvVolatWti7dy+Sk5OLnXfVqlWIj49Hnz59ULduXWRmZmLZsmXw8PAwfqlhTCpu97jdA7jdswS3e5bhdq8Q5XMRT1aYXbt20fDhw6lBgwbk5uZGTk5OVK9ePXr33Xfp/v37JmWvXbtGL7/8MimVSgJgvERwYZeS7tatW4GvaemlpAu6FO/QoUPNLon7559/Urdu3UipVJKvry9NnDiRNm3aRADo5MmTha77pk2bKDIykvz8/MjJyYlq165No0ePppSUlELnyffdd99R/fr1SaFQUIMGDWjFihUF/o8NAIqJiaE1a9YYyzdv3tzsEtf58169epX69etH7u7u5O3tTePGjTO7RHD+MguSmZlJkyZNopo1a5KjoyPVr1+f5s2bZ3JZ4b59+5K7uzvdvHnTZN6ffvqJANDcuXNNXqugS0k/fPjQZN7CLof87PtoMBhozpw5FBgYaMxix44dBb6vx48fp/DwcHJycjKpR0E5a7VamjVrFgUHB5OjoyMFBATQv//9b9JoNCblCtsuIyIiTP5LqjCW5FvQehelsOy2bdtGTZs2JWdnZwoKCqK5c+fS8uXLzT5r+WVfeOEFUiqV5OHhQa1bt6YffvjB+HxWVhYNGjSIvLy8CIBJ1vfv36e33nqLfH19ycnJiZo0aWJyWWiify4XPW/ePLN6FnQp6Tt37lCfPn3Iy8uLPD096bXXXqO7d++abU/P7jvOnTtHAwcOpNq1a5NCoSA/Pz/q3r27yaXYGZOK2z1u9/JxuxdhNv1Z3O5xuyeWQGRDZ32yCmPhwoWYNGkS7ty5g1q1almtHoIgICYmxmyow7NmzpyJWbNm4eHDh2ZX6mKMMcaKw+0eY8yW8Dl5TDK1Wm3yWKPRYOnSpahfv75VGzrGGGOsLHC7xxizdXxOHpOsb9++qF27NsLCwqBSqbBmzRpcu3YNa9eutXbVGGOMsVLH7R5jzNZxJ49JFhUVhf/+979Yu3Yt9Ho9QkNDsX79egwYMMDaVWOMMcZKHbd7jDFbx+fkMcYYY4wxxlgFwufkMcYYY4wxxlgFwp08xhhjjDHGGKtAKt05eQaDAXfv3oW7u3uRf1jKGGPM9hARMjMzUbNmzTL78+SKhts9xhizX2LbvUrXybt79y4CAgKsXQ3GGGMS3L59G/7+/tauhl3gdo8xxuxfSdu9StfJc3d3B/AkKA8PD0nLMhgMePz4MapUqcK/KJcQZycN5yceZyeNtfPLyMhAQECAcV/OChcXF4e4uDjodDoA0ts9a7/39o7zE4+zk4bzk8ba+Ylt9ypdJy9/qIqHh4fkTp5Op8O5c+cQGBgIB4dKF6UknJ00nJ94nJ00tpIfDzssXkxMDGJiYpCRkQFPT0/J7Z6tvPf2ivMTj7OThvOTxlbyK2m7V+n+QiG/sVOpVJI7eYwxxsoX78NLjjNjjDH7JXYfzsdsJTAYDPj7779hMBisXRW7w9lJw/mJx9lJw/lVXvzeS8P5icfZScP5SWOv+XEnTwKDwYCkpCS7e9NtAWcnDecnHmcnDedXefF7Lw3nJx5nJw3nJ4295sfDNRljjNkN3oeXnCWZ6fV6aLXacq4ZYxWXXC6Hg4MDnz/MJBPb7vHZlxIYDAbcvn0bAQEBfLWiEuLspOH8xOPspOH8Kp6srCzcuXMHxf3mS0TQ6/WQy+X8xVUEzk88e83OxcUFNWrUgJOTk1Xrwfttaew1P+7kSZA/RrdWrVp29abbAs5OGs5PPM5OGs6vYtHr9bhz5w5cXFxQtWrVIr9AExFycnLg4uJiV1+0bQXnJ569ZUdEyMvLw8OHD5GcnIz69etbdX/J+21p7DU/Hq7JGGPMbvA+vOSKykyj0SA5ORlBQUFQKpVWqiFjFVNOTg5u3bqF4OBgODs7W7s6zE7x1TWtQK/X48aNG9Dr9dauit3h7KTh/MTj7KTh/ComS46OEBE0Gk2xwzpZwTg/8ew1O1s56sP7bWnsNT/b2PrsFBEhLS3N7nY6toCzk4bzE4+zk4bzq9zs7UuOreH8xOPsxOP9tjT2mh938iRwcHBAq1at4ODApzaWFGcnDecnHmcnjaT88nKwds0aZGZmln7FWJkTBAGurq52cU6ULeL8xOPspOF2TxpJ+WXew08/rEB6enrpV6wY3MmTQK/X49q1a/zrkgicnTScn3icnTRS8nuwtDe8d43Gb6f2l0HNWFkjIqjVarv7NdtWcH7icXbScLsnjej89FqkxnVGw+PjcWbPhrKpXBG4kyeRWq22dhXsFmcnDecnHmcnjZj8NOf+B7/HpxBVzxGtG9crg1qx8lBZv2SvX78e/fv3l7wcqflFRkZi//7K+SNJZd32Sgu3e9KIye/k2XOYeaMBPH2qoM3Lr5RBrYrGnTwJ5HI5mjdvDrlcbu2q2B3OThrOTzzOThpR+eWkIm/reACA7vnxQPUmZVQ7VpYEQbCbS9iXVPv27aFQKODm5ma8NWrUCMCTy6dPnz4dH374oaTXsCS/2NhYtGzZEgqFAr179zZ7/oMPPsC//vUvSfWwRxV52ysP3O5JIya/5ORk9PtkLbb5DkMn/SL8qfMtwxoWjDt5Euj1ely5coUPf4vA2UnD+YnH2UkjJr8Ha0bBQ6ZGlnMtKDp9UIa1Y2Wpog+Zmzt3LrKysoy3X3/9FQCQkJAAHx8fNGki/seJgwcPon379sXmV7NmTcyYMQOjRo0q8PmXX34Z6enpOHbsmOi62KOKvu2VNW73pClpftmnvsfACR/CoXEUAGDOa60QFuBVllUsEHfyGGOMlZm833bB7+5+GAhwe2Ml4KCwdpWYHcrNzYVCocD58+eN09RqNWrXro2DBw+W6Wtv27YNHTt2ND7+7LPPEB4ebny8ZcsW1KpVC0lJSZJfq2/fvujduzd8fQv+1V8QBHTs2BHbtm2T/FqMsdKnvfITlAnvYmPYSXgjA/+KCkGPZjWtUhe+zI4EcrkcjRs3tnY17BJnJw3nJx5nJ02J8svLRs76UXASgNywYVAGtC7byjETcXFxiIuLK/Gv9zqdDnfu3CmjWpny9/e36Ip1CoUCYWFhOHv2LJo3bw4AmD9/Ppo3b4727dublB07dizWrVtX6LJ27NiBl156yeI6XrhwAWPGjDE+njRpEuLi4rBlyxb4+vpi7Nix2L17N+rWrVvsskrjD+dDQ0Oxd+9eycuxJ4IglEp2lRW3e9JYmh8RYeI3W/Gvan44YmiKzuENMbZ98fuFssKdPAn0ej0uXbqEpk2b8jjnEuLspOH8xOPspClJfmcvXsXCrQ/xn0EN4dNtTjnVkOWLiYlBTEwMMjIy4OnpafF8d+7cQXBwcBnW7B/JyckICgqyqGybNm3wyy+/YNSoUUhJScGCBQtw8uRJs3Lx8fGIj48vtTqmpaXBw8PD+NjFxQWzZs3ClClTkJ2djQ0bNiAsLMyiZeXk5ECpVEo6t8zDwwNpaWmi57dH+cM1pWZXWXG7J42l+U2d9Tm2OXbE0bwuaFrXH9/1aWrV7ZU7eRLxL0vicXbScH7icXbSWJJfbm4uhr31Fho37gOfKT8A/MXMbvj7+yM5OdlsOhEZh02W1hcXf39/i8u2adMGX3/9NQBgxowZGDx4MEJCQkqlHkXx9vZGRkaGybQWLVogKSkJ06ZNQ0RERIHzPX1EUafTQaPRoGbNf4ZtlfSIYr6MjAx4e3uXeD57x507abjdk6bI/NRp2L5yAdb8VQ1Ofj6oVs0NsYNbw8nBumfFcSdPArlcjgYNGli7GnaJs5OG8xOPs5PGovw0GZj3yUw8fPgQsbGx3MGzMw4ODhYfXStPbdq0weXLl3H69Gls3boV169fL7DcmDFjsGbNmkKXs2vXLrRr187i1w0LC8O1a9eMj5OSktCrVy/ExMRg9erV+Oijjwr8Avj0EcWDBw9i5syZpXL+4NWrVy0+clhR8HBNabjdk6bI/HS5SF0cja6q39Cv+liccG2A5cNawVPpWL6VLABfeEUCnU6HM2fOQKfTWbsqdoezk4bzE4+zk8aS/B6uHY2Rucuw+csYkwtIPMjUIFfHV3ezV0SE7Oxsq13hsF69enB3d8eAAQMwbdq0Qi9OsmTJEpOrZD57K0kHDwB69OiBxMREAMD9+/cRFRWFWbNmITY2Fv7+/li0aJHFyyouv/wjfjqdDgaDARqNBnl5eSZlEhMT0b179xKtg72z9rZn77jdk6bQ/AwGpK8aBJ+Mq8iBM27Kg/Dd0Jbw93axTkWfwZ08CQRBgLe3Nw8hEIGzk4bzE4+zk6a4/DQZj5F+ZS+qu8nwUsQ/VyTUGwjvrDmHnt8cw+/3M8uruqyUWft8njZt2gAAxo8fX26vGR0djUePHuHSpUvo0qUL3nrrLYwYMQLAkyttzp07F6mpqRYtq7j8Pv30UyiVSnz22WfYvn07lEolIiMjjc8fOXIEHh4eJe6oVgTW3vbsGbd70hSWX+a2qfC6vR9akiEMGZXKAAAgAElEQVRGOxHjB/ZCU//y/6uEwghUyX4WyT8BXaVSmZxIzRhjTLr3338fm9avwaUfF8Kj1evG6f898ic+3fkb3BQO2DPpZdTyEjf0ivfhJVdUZhqNBsnJyQgODoazs7OVamgZg8GA5s2bY/r06RgwYEC5vvYPP/yArVu3YsOGDeX6us+KiorC+++/j86dO1u1Hswy9vT5YiWjObYYzvumAQCyoxbgtE8PdAjxK5PXEtvu8ZE8CXQ6HY4fP86Hv0Xg7KTh/MTj7KQpKr9Dhw5hwYIFiP92uUkHL/lRNubvfXL+1PTohqI7eMy6iAhZWVlWGzL31VdfwcvLq9w7eAAwcOBAyR280shvz549lbKDZ+1tz95xuyfNs/npfkuA497/7+C1eheuz48osw6eFNzJk0Amk6FWrVqQyTjGkuLspOH8xOPspCksv5wza3Fy/gC8PWoEoqOjjdMNBsLUTZeg0RrwYr0qGNg6oLyrzEqRo2P5X0zg7Nmz8PT0xMaNG4u8oIo9sEZ+FQVnJx63e9I8nR/9fR66H4ZALgBnPSLh0nW2tatXKL66pgQymQyBgYHWroZd4uyk4fzE4+ykKTC/jBTQ9gmYGq6FpnO4yVPfn7iJ0zdT4eIkxxd9rfufQUwaQRCgUCjK/XVbtmwJlUpV7q9b2qyVX0XA2UnD7Z54er0eR44cQUpKCoK9ZGh8aiLcZDoc1jfBfxTjsEZPcLbRvrONVss+6HQ6HD58mA9/i8DZScP5icfZSWOWn8GAB8v6wVWmRaZ7PTi3HWEsm/woG1/sfnLp+X93bYAAH9u44hgTh4iQmZnJQ+ZE4vzE4+yk4XZPnC1btiAoKAhdunTBg1vX4blzJNyQg7uGKsjqtRxLh7aFs6PtXhCIO3kSyGQy1K1blw9/i8DZScP5icfZSfNsfqp9X8Iv8wryyAHub64D5P8MqfJwdkD75/zwYr0qeKMN/4pcEfDRFGk4P/E4O/G43Su5LVu2oF+/frhz5w7kpMNLd+LR0FeGv1QGtF50C5q/rqCKm21vkzxcU4L8Mbqs5Dg7aTg/8Tg7aZ7Oz5ByGcpjXwAyQN51DlA1xKRsFTcFFg9uAbVWD5mMh2naO0EQ4OTkZO1q2C3OTzzOThpu90pGr9djwoQJxiPH/UNlCPfNhUqvQLfNubibSZg4cSJ69epl03/twV16CXQ6HQ4cOMCHv0Xg7KTh/MTj7KQx5qfJQup/+8JJRsiq+RLkbd42lsnUaI33BUGAixP/nlgREBEyMjJ4yJxInJ94nJ003O6VzJEjR3Dnzh3j4y3OvTBHOxBv6yYjyfE5EBFu376NI0eOWLGWxbNqJ+/zzz9Hq1at4O7uDj8/P/Tu3RvXr18vdr6DBw+iRYsWUCgUqFevHlauXFn2lS2ATCZD48aN+fC3CJydNJyfeJydePknoD98+BDX4wbCV/8AOTI3uA1aCfz/BVXydAYMWHoS49adQ3pOnnUrzEqdUsl/fyEF5yceZycet3slk5KSYrzvGtoe3hHD8K2+B3bvOwb1n2cLLGeLrPpuHzp0CDExMTh58iT27dsHrVaLyMhIZGdnFzpPcnIyunXrhg4dOuDChQuYOHEiRo4ciT179pRjzZ+QyWTw8/PjD40InJ00nJ94nJ04+Segd+zYEatmDEajzMMAgPMBIwC3qsZyZ2+l4vr9TBy78Qh5eoO1qsvKgCAIcHR05CukisT5icfZScPtXsnUqFEDAxo5YM8IP9SOfjJKRXVqMzJ+2W5WzpZZ9d3evXs3hg0bhkaNGqFZs2ZYuXIl/vrrL/zyyy+FzrNkyRIEBwfjq6++QsOGDTFu3Dj069cPX3/9dTnW/AmtVos9e/ZAq9UWX5iZ4Oyk4fzE4+xK7ukT0IOqOGPdax4AgEWnctFuxKfYsmWLsewLdX2x5Z0X8PWAMPi5O1uryqwMGAwGqFQqGAzceReD8xOPs5OG272SebFlU8R3d0WkvwaDnQ5Bc/0Y5r3xIpydn7RpgiAgICAA7dq1s3JNi2ZTXfr8/8Hx8fEptMyJEyfQqVMnk2lRUVE4ceJEmdatIHK5HK1atbLpky5tFWcnDecnHmdXMk+fgC4AWBYtg5eTDhfu6TF1Xy4AYOLEidDr9cZ5mgV4oX2In5VqzMqKIAhwdXXloykicX7icXbScLtnOSJCzIy5GKJ5H2t0ryA2uTYe7vwK8+fPQ15ennEbXLhwoc3naTOdPIPBgIkTJ+LFF19E48aNCy137949VKtWzWRatWrVkJGRAbVabVY+NzcXGRkZJjcAxi8ker2+wPs6nc7kfv6vR0/fNxgM8PLygkwmg1arNU7XarXGk4Pz7xOR2X0AJvcNBoPJ/fwTZAu7r9frTe6Xxjo9fb8s1wkAPDw8IJPJKsw6lef7xNseb3vl9T7ln4Mnl8vxrxed0KmOA7LzCK9vUkNwdIYgCLh9+zYmL/8Zv6WoymWdmHUIggAHBwf+oi0S5yceZyeNTCaDj48PD9csDhHmzPsaO7OC8Ktzc8Q6vgX5yZUwaPNw/fp1GAwG+Pv7Y9OmTejbt6+1a1ssm3m3Y2JicOXKFaxfv75Ul/v555/D09PTeAsICAAAXLlyBQDw22+/4bfffgMAXLp0CX/88QcA4Pz580hOTgYAnD59Grdv3wYAHD9+3Hii5aFDh7Bz505otVocOHAA6enpAIC9e/ciMzMTAJCQkACNRgOdToeEhATodDpoNBokJCQAADIzM7F3714AQHp6Og4cOAAAePToEQ4ffnLOS0pKCo4fPw4AuH37Nk6fPg3gyfmJ58+fBwD88ccfuHTpkuR1Onz4MB49egQAZbpOd+7cMWZXUdapPN8n3vZ42yuv9yklJQWzZs1C69atcSBZh1uZMlwOeBN/5SgQGxuL+vXrw6XBS9iapEWf+ON4lJVbput08+ZNMOswGAxIT0/nIXMiic3vxIkT6NmzJwRBKNebLeFtTxqtVmts91ghclJxb24rHL12E46+tVHNQ4EtEzrh5h+/4cCBA/jxxx9x4MABJCcn20UHDwBANiAmJob8/f3pzz//LLZsu3btaMKECSbTli9fTh4eHgWW12g0pFKpjLfbt28TAEpNTSUiIp1ORzqdzuy+Vqs1ua/X683u5+XlUVpaGhkMBsrLyzOZbjAYTO7nl3n6PhGZ3Nfr9Sb3tVptkfd1Op3J/YLWo6Tr9Oz6ldU66XQ6Sk1NJYPBUGHWqTzfJ972eNsrr/cpMTGRFAoFCYJAAMjbzZkCA2uTTCYjZ2dncvSqRgET1lPg1B305e7fynydUlNTCQCpVCpillGpVIVmplar6erVq6RWq4tdjsFgIJ1OZ9x2KwudTkfh4eH08OFDOnfuHHXp0oVycnJKvJyn8yvJMkeOHEl3796Vuhp2zV63vZJ8vsqSwWAglUpld/mVm7wcSp3fmuhjD7rxYQg1+2gnXb37z/7S2vkVtQ8vikBkvT8dISK8++67+PHHH3Hw4EHUr1+/2HmmTp2KhIQEXL582Tht0KBBSE1Nxe7du4udPyMjA56enlCpVPDw8JBUf8YYq+j0Oh1eaFAdp5Memz8pyFBt4OdwDmiEsABPbBzzAhzlZTtAhPfhJVdUZhqNBsnJyQgODjZeVICZ27hxI7Zt24a7d+9i48aNRV47oDSXmZubi8GDB2Pjxo0m08aNG4f9+/fj0aNHqFWrFqZMmYLhw4dLrhMrXfz5sgMGPdKW9YJ3yhFkkAte183EjLdexQv1fK1dMyOx7Z5Vh2vGxMRgzZo1WLduHdzd3XHv3j3cu3fP5Ny6f//733jzzTeNj8eMGYM///wTU6ZMwbVr1xAfH4///e9/mDRpUrnXX6vV4qeffuLD3yJwdtJwfuJxdiWTtW8uDr+uxcgWTy5frlQqsXXrViiVSni+MADOAY2gkBH+83qLMu/gMeuqzEPm2rZtiw0bNmD27NkWdfBSU1PRtm1bs9uGDRuM+VmyzJ07d6Jbt24m03Q6HWrUqIH9+/cjIyMDK1euxOTJk41DoCuiyrztlQZu9wpBhIz1b8M75Qi0JMMs1xkY07+HWQfPbvMri8OKlgJQ4G3FihXGMkOHDqWIiAiT+RITEyksLIycnJyoTp06JuWLI/aQZ0EMBgPl5OTw4W8RODtpOD/xODvLafPyKPGdAKKPPejs4nfI39+fBEGgKlWqkMI/lGr/axsFTt1BP567U251Ks19eGVRmsM19Xq9VT47Go2GnJyc6Ny5c8ZpOTk5FBAQQImJiZKX/+mnn1KLFi2Mjzdv3kw1a9akGzduUFpaGrVv357i4+NpxIgRJvP973//o+bNm5OHhwc1a9aMTpw4UehrPJ1fYctMS0szeS/eeOMNi7b1Pn360IcffkhET4aX+vr6EgBydXUlV1dXcnR0JAcHB3rvvfeKXFdbZc1tTwpbGq7J7Z65zJ0fEn3sQfqPPCjvwkbK1eoLLGft/MS2ezZxTl55Ku1O3tPn1jDLcXbScH7icXaWmzZtGnl7e9H9wyuJ/v+cmAMHDtB/v19HLT7eSYFTd9Ck9efLtU7cybNcbGwsNWzYkJ577rkSd/Kyc7VmtyxNHmWqcylLk1fg81rdP1+QtDo9ZedqSZ2nK3S5JdW6dWv69ttvjY9nz55NPXv2NCv3zjvvkKenZ6G3I0eOmM2TnZ1NNWrUoM2bN9OhQ4eoWrVqdP78edJoNNSlSxc6deoUERF16NCBrl27RkREixcvpuDgYDp79izp9XpavHgxBQQEFLpvye+oqNXqApe5bds2atCgAa1du5aInmzrQ4YMKTYXtVpNtWrVoo0bNxqn/fTTTxQaGmp8PHjwYProo4+KXFdbxp08abjdM6c+toToYw+ijz1Ifeg/RZa1dn52eU6eNZTm+RxarRYJCQmIjo6Go6NjKdWwcuDspOH8xOPsLGAwYNv27ejTty+2b9+O6Oho41N5eXl49es9uJwmQ2AVF+wc3w5uCodyqxqfk1dyYs7JC5q2s8SvEzeoBbo1rQEA2HkpBTHrzqFNsA82jH7eWKbFJ/uQmp0HALj5RbcCl1OY8ePHIy8vD0uWLEFKSgpCQ0Nx8uRJhISElLiuBVm2bBnmzp2L7OxsrF+/HhEREYWWValUCAgIQEJCAl566SUAT4YUKhQK3Lp1CzVr1jSbx2AwICMjw/gXLgVZunQpduzYge3bt2PFihXw8fFBr169Cq0HEWHIkCH4+++/8fPPPxuX+8knn+C3337DunXrAACNGzfGrFmz8Oqrr5Z4XW2BJdnZIls5J4/bPVPaK9sg2zgEcgGI1fVG0zfn4+XnqhZe3sr52eU5efbOwcEB0dHRcHAovy84FQVnJw3nJx5nV7zUrVOh+eFNzPxgikkHDwDWnP4bl9NkcJLLEDeoRbl28Fjl1qZNG5w9exYAMGPGDAwePLjUOngA0KJFCyQlJWHYsGHFdnoSExORlZWF7t27w8vLC15eXvDx8YGDgwPc3NwKnEcQBHh4eBT59wT9+vXDgQMHkJaWht27d6Nr166FliUijB07FtevX8fWrVtNOj8XL15Es2bNAABqtRrXrl0zPi7putoCS7JjheN27x+Gm8dA/xsKuQCccOuM47XHoE2dos+ztdf87Ku2Nkin09ndm24rODtpOD/xOLvC5V7ZAa+L36J/A0Dfr43Jc5fupOPzXU/+X296dAM0ruVpjSqycnB1dpTZNPr/P7Uv7H/UnJ668E5Uo2q4OjsKsmfKHZ3aQXSd2rRpg8uXL+P06dPYunUrrl+/XmC5MWPGYM2aNYUuZ9euXWjXrp3JtKSkJPTq1QsxMTFYvXo1PvroIyiVykKX8fjxY3To0AE///yzuJUpRJUqVdC+fXvExcWhSpUqcHJyKrAcESEmJganTp3Czz//DE9P08/ixYsXMXLkSABP/gtTqVSibt26AEq+rqxi4HYPoPu/QrOiN1xkBqiqPY+2b/+A5gYZFA7yYue1x/z4SJ4EOp0Oe/fuhU6ns3ZV7A5nJw3nJx5nVzhKTYZ2w1uQCYC60SDIG/c2Ppep0WLcuvPQ6glNfQwY1KqWFWvKypqLk4PZTekoh06TA6WjvMDnHZ7q5DnIZXBxcoCzo7zQ5ZZUvXr14O7ujgEDBmDatGnw9S34EudLlixBVlZWobdnO3j3799HVFQUZs2ahdjYWPj7+2PRokVF1qVly5Y4c+YMDh06BCKCRqPBkSNHcOfOnULnISJkZGSguLNkBg4ciNmzZ+P1118vtMy4ceNw7Ngx7Nu3D97e3ibPZWVlISkpyXjk7tq1awgJCYEgCKLW1RZYmh0rGLd7ADLuInNJFFyEPKS5h8BzxBYIckezfVRB7Da/Ujwv0C7wSfuMMVaA3Gx6+EkI0ccelLmgFZFWY/K0VqenL3f/Ri9+8TOlZ+dZqZK8DxejtK6uaQuio6MpKCiINBpN8YUtoFKpKCwsjD799FPjtP3795OXlxc9fvy4yHmXL19O9evXJ1dXV6patSp17dqVHj58KLlOGRkZFBISUuhFHm7evEkASKFQGK+e6erqSqNHjyYiouPHj5Ovr6+x/O7du8nd3Z0WLVokel2ZOPb2+arIVi7/L22b1JKuf9iQPlh32NrVKRG+8IqFSvOkfSJCZmYm3N3deZx4CXF20nB+4nF2BSDCw2/7oGpKItQyVygnnAY8/QssmqnRgvLUVsuPL7xScqX1Z+hEBIPBAJlMZpX33mAwoHnz5pg+fToGDBhQ7q8vVUnyu3fvHqpXr15ONbN91t72xLKVC69U9nZv+46dGPHtIbiFtkN1JzUWj4pEswAvi+e3dn584RUr0Ol0OHLkiP0dvrUBnJ00nJ94nJ051b4vUTUlEXoSoHzzfyYdvORH2cjV6Y2PneXg/Cqp/C861vpt+KuvvoKXl5dddvCAkuXHHTxT1t727F2lbfd0efhjwwyM/GY7XEIjIJPJMeeN9iXq4AH2mx8fyWOMsUpM+0cihNW94SADdK98Aod2443PPc7KRfdvjsLPXYFv32yJah7W+yU6H+/DS660juRZy9mzZ/HKK68gJCQEmzdvRkBAgLWrxJhF7OHzVWERIX1Ff3j9tRdrda/gA90ILBwQht7N7e98cj6SZwUGgwGpqakwGAzWrord4eyk4fzE4+z+QWk3ofl+ABxkQE7dbnB46V2T52+l5kCt1SNTo4Pr//9VAudXeRERdDpduR9NadmyJVQqFU6fPm3XHTxr5VcRcHbSVMb99s1bt/Dx7rtQkxP2GFpiRreGojt49pofd/Ik0Ov1OHPmDPR6ffGFmQnOThrOTzzO7v/lZuFxbBTc5bnI8qgPl9e/A54516BFbW9sH/cSlg4JN/4fHudXeRERsrOz+Yu2SJyfeJydNJVtv/3gwQN0GjoJPwVPw8u5CxHari9Gtqsjenn2mh8P12SMscrGYMCD+Gj4PTqBHJk7XCacAjz/+YVTqzfAUW6bvwHyPrzk7H24JmP2ij9f5S/nzFp0+3AdkpuMAuSO6Bfuj3n9mtr1BWd4uKYVGAwGPHjwwO4O39oCzk4azk88zg7468px4K8T0JEMLsM2m3Twkh5mof28g0i89qDAeTm/youIoNVq+WiKSJyfeJydNJVlv513fgOcd4zFytbX4SXXoFPDaviibxPJHTx7zY87eRIYDAZcuXLF7t50W8DZScP5iVfZs1OpVOg6cDQm/toMQv+VQO02xueycnUYvfoX/J2uxtLDSQV+oars+VV2arXa2lWwa5yfeJydeJVhv62/vhfC1tGQCcAhQxjqBwYgdlBzOJTCqBR7zY+HazLGWCWhy1WjR+++SE5OxokTJ+Dt7W18zmAgjF7zC/ZdvY9qHgpsf/cl+Lnb3vAi3oeXHA/XZMw6+PNVPuivk8j7bzQUMj12Gp5HrPc0rB/zIjyVjtauWqng4ZpWYDAY8Pfff9tdz94WcHbScH7iVdrsVHeQ9ml9+D46iR07dph08ABg0c9/YN/V+3CSy7BkcHihHbxKmx8DESEvL4+HzInE+YnH2UlTkffbdO8K1N/1gEKmR3rVVggetQarRrQt1Q6evebHnTwJDAYDkpKS7O5NtwWcnTScn3iVNbtLS99GVXkmFvcPRL3gIJPndl+5h0U//wEA+KxPYzSv7W2+gP9XWfNjT+Tm5lq7CnaN8xOPsxOvwu63U5ORtSQKLkIe0j1C4DXqJ4QG+MKvlP/T1V7z4+GajDFWwe3evRu9enTH6S96oNmIRYBXbeNz1+9lom/8MWTn6THshSDM7NnIijUtHu/DS46HazJmHfz5KkOZ96Ba+Dw89an4nfyR88YOhD0XbO1alQkermkFBoMBt27dsruevS3g7KTh/MSrVNkR4eKFC3jttdcw+V9T0GzyjyYdvMdZuRix6gyy8/R4vk4VfNCtYbGLrFT5MRNEhNzcXB4yJxLnJx5nJ02F22/npCI9tgM89am4Az8M13+APEfPMns5e82PO3kS2OsYXVvA2UnD+YlXmbJL3z0Hlz/vhF7do/Hpp5+aPJenM+CdNedwJ02NwCouiH+jhUX/jVeZ8mPmtFqttatg1zg/8Tg78SrUfjs3C2lxkfDKvYsswQ1Vxu7GolFd0DrYp8xe0l7z4+GajDFWAeWcXQ/n7U8uJ53XexmcwvobnyMiTN18Cf87ewfuCgf8GPMC6vm5W7G2luN9eMnxcE37duLECXz++efYvn17ub5uJft6WCb481XKtBqkxUfCO+0icsgZLjEHAb/iR6DYOx6uaQV6vR43btyAXq+3dlXsDmcnDecnXmXITpt0GA7bxkAmAOomg+HU7DWT5787moz/nb0DmQB8M6h5iTp4lSE/VjAigkajqXRf/vV6PVq2bIlHjx7h/Pnz6Nq1q6j/bHs6v5Isc/ny5Vi6dCmIqFxv69evR//+/QusU3kraNsr7/pFRkZi//79xU6zRRVlv33xzDGk/JWELHLG1qaLy62DZ6/5cSdPAiJCWlpapWvwSgNnJw3nJ15Fz44eXEPuyr5wkhGyA9pD2ec/gCCYlLmdmgMA+KBbKNqH+JVs+RU8P1Y0e/uSUxrkcjmmTp2KSZMm4f3338fatWuhVCpFLSs/P0uXmZubi/T0dNSoUcNk2qhRoxAcHAx3d3c0aNAAy5cvF7dyhTAYDJg+fTo+/PBD47TY2Fi0bNkSCoUCvXv3LtXXs2TZOTk58Pb2xqNHj0pcv9LI7IMPPsC//vWvYqfZooqw3/7tt9/QZfI3GOi4AG/mTcNDzybl9tr2mp+DtStgzxwcHNCqVStrV8MucXbScH7iVejsMlKQHvcKvOVaZHmHwm3ID4BMblZsZs9GiGxUHS/UrVLil6jQ+bEiCYIAV1dXa1fDKtq2bYs33ngDiYmJ8PEp/tyf1NRUREdHm03/8MMP0a1bN4uXuXPnTmP5fDqdDjVq1MD+/ftRp04dnDp1Cl27doW/vz8iIyNFrJ25hIQE+Pj4oEmTf75I16xZEzNmzMD+/ftx584di5Zz8OBBzJw5EwcPHiyyXHHLFgQBp0+fRpMmTeDr64sdO3aUqH6lkdnLL7+M9PR0HDt2DC+++GKh02yRXe+3iZByZjsixy+FImIMVJAh7IUojH+lXrlVwV7z4yN5Euj1ely7dq1S/rIpFWcnDecnXoXNTp2OR4vaw1vIQrZzDbiN3AE4uRiffpyVC63+yUnjgiDgxXq+EJ45wmeJCpsfKxYRQa1WW+XX7NzcXCgUCpw/f944Ta1Wo3bt2sV2ICzx2WefITw83Ph4y5YtqFWrFpKSkpCeno4333wTixYtwooVK0zm27hxI1q0aAFPT0+EhYXh5MmTAAAfHx+cPHnS5HbixAl07NgRRFToMtPT06HRaEzq0bdvX5PXdHV1xezZs1G3bl0IgoC2bduiQ4cOOHr0KIAnn9GqVatCEAS4ubnBzc0NTk5OcHR0xOTJk4tc13zbtm1Dx44dTV63b9++6N27N3x9fcXGXKjilk1E+PHHH9GjRw9R9SsuM6DobQB4st/s2LEjtm3bZixT0DRbZM/77cyfpqJGwhAM61gHEGR4LdwfM7o1FNV+iWWv+XEnTyIx4/LZE5ydNJyfeBUuO60aD/7zCnz196CWu8N19G7A9Z+jdJkaLQZ/dxrDV55Bhkb6FeoqXH7MXF52gTfKLXg68rIBve6f+fW6J9O06sKXWwIKhQJhYWE4e/ascdr8+fPRvHlztG/f3qTs2LFj4eXlVejt6S/2+SZNmoSUlBRs2bIFhw8fxtixY7Fz5074+/tj4MCBmDt3Lt555x38+eefuH79OgBgyZIlmDp1KpYtW4a0tDSMGTMG/fv3L7ITnP9XAAUtc/v27Xj++eexZcsWAE8utiCTyYq90IJGo8Hp06fRtGlTAE+Ggn733XcIDQ1FVlYWsrKyMGDAAEyfPh1fffVVoetat25d4zIvXLiABg0aFP2mlLOEhAT07NkTgPT6PZsZUPg28HQuoaGhuHDhgsmyCppmi+xxv/3o4UNs/v8OtEFwQJdG1fF53yaQycqvg5fPHvPj4ZoSyOVyNG/e3NrVsEucnTScn3gVLju9Dg/iu8NPfQO5UEA5ahfgHWRS5Pf7Wbj1OBsPMzXIUGvh4ewo+uUqXH6sYHNqmk0SALiYl/zHayuBRn2e3L+2Hdg4DAh8CXhr5z9lFjYBch4/uT9TVaIqtWnTBr/88gtGjRqFlJQULFiwwHjk7Gnx8fGIj48v0bJdXFwwa9YsTJkyBdnZ2diwYQPCwsIAALt27TKWO3DgAABApVJhypQpSEhIMB79efvtt/Huu+8iJSUFNWsWkJ8gwMXFpdBlhoSE4O7du/jhhx8waNAgbN68Ga+++mqR9SYijBw5EvXr1zc54nfx4kU0a9bM+Pj8+fPG89SKWtd8aWlpNnX12osXL0KpVBo7dlLqV1hmluTi4eGBtLS0YqfZGnvcb2dkZKDTa8OgCiHZ+loAACAASURBVP8EO3L/grLeS/jvwDA4WPBXP6XNHvMD+EieJHq9HleuXLG7w7e2gLOThvMTr0JlR4QHywfBL+0stCSHYtiPQHXzk9HDA72x4e3nsXxYK/h7F/k1vVgVKj9mV9q0aWM8kjdjxgwMHjwYISEhpbb8Fi1aICkpCcOGDUNERESRZRMTE5GVlYXu3bsbjxD6+PjAwcEBbm5uBc5jyXDXfv364cCBA0hLS8Pu3bvRtWvXQssSEcaOHYvr169j69atkMn++Ur3dCdPrVbj2rVrJp2+4tbV29sbGRkZRWZQmKePpHbv3h1Hjx4t9khqcbZt24bo6GhjdmLrV1RmQPG5ZGRkwNvbu9hptsbe9tvqq3vQ/bU3kB42BOToAqr9PJYOCYfCwfwc8/Jgb/nl4yN5jDFmpx6uHwe/v/dATwIcBq4GgkxP/FeptfBUPjlq18Tf0xpVZPZq+l2zSfmXsXd2di74fBi54p/7DXo8WYbwzG/JEy+LrlKbNm1w+fJlnD59Glu3bjUOm3zWmDFjsGbNmkKXs2vXLrRr185kWlJSEnr16oWYmBisXr0aH330UZFX0Hz8+DE6dOiAn3/+WdzKFKJKlSpo37494uLiUKVKFTg5ORVYjogQExODU6dO4eeff4anp+nn++LFixg5ciQA4NKlS1AqlcZhh5asa1hYGK5duyZqHZ4+kmrphVeKs337dsyZM0dS/YrLzJJcrl69anZ0r6BpTDztxU1w2jICn4Y3wCiDAnVreGD5sFZwceIuS0nxkTwJ5HI5GjduDLncOr8s2DPOThrOT7yKkl1SUhJGz9uIbL0D0PM/EBqYXoFvw5m/0HH+QZz/q3SHEVWU/FgxnFzNboLCDUpPXwgKtwKfh/ypL2FyhyfTHJWFL7eE6tWrB3d3dwwYMADTpk0r9CIdS5YsMZ6LVtDt2Q7e/fv3ERUVhVmzZiE2Nhb+/v5YtGhRkXVp2bIlzpw5g0OHDhk7v0eOHCnyqpOCIECpVBZ7wYiBAwdi9uzZeP311wstM27cOBw7dgz79u0zO4qUlZWFpKQk45G7a9euISQkBIIgWLyuPXr0QGJiosk0nU4HjUYDnU4Hg8EAjUaDvLy8ItfFUkUtOyUlBcnJyejYsaMxOzH1KyozS3NJTExE9+7di51ma+xlv637LQHYPBJyAUiRVYd/FU98P6K18cdKa7GX/MxQJaNSqQgAqVQqycvS6XR07tw50ul0pVCzyoWzk4bzE68iZHf79m0KCgqiyMhI0qTeMXt+76/3KHjaDgqcuoO+2nu9VF/b2vmV5j68sigqM7VaTVevXiW1Wl3scgwGA2VnZ5PBYCiLalokOjqagoKCSKPRlMryVCoVhYWF0aeffmqctn//fvLy8qLHjx8XOe/y5cupfv365OrqSlWrVqWuXbvSw4cPCy1vaX4ZGRkUEhJSaLmbN28SAFIoFOTq6mq8jR49moiIjh8/Tr6+vsbyu3fvJnd3d1q0aJHF66rT6SgoKIguX75snPbxxx8TAJNbREREkeuSmJhYbJnilv3tt9/S4MGDTbIraf2KyszSbeDw4cPUrFkzk3oXNO1pJfl8lSVr77ctobtxkHI/9CL62IO2zYikl+bspb/TcqxdLSKyfn5i2z2ByM7+2U+ijIwMeHp6QqVSST6pWK/X448//kD9+vXtr3dvZZydNJyfePaeXcbRZRj8/lykOlTHnj17zP637OzNVLzx31PI1RnQv6U/5r7atFQvNW3t/EpzH15ZFJWZRqNBcnIygoOD4ezsXORyqLjhmmXMYDCgefPmmD59OgYMGFDury9VSfK7d+8eqlevXk41K9gPP/yArVu3YsOGDVatR48ePTBkyBD06NHDJLvyrl9UVBTef/99dO7cuchpTyvJ56ssWXu/XRzDrZPI+64bnGU6qKq/gKNtl6CRvy+CfG3jfzmtnZ/Ydo87eYwxZicyz26A6/a3kaGVQfbOUXgENDJ5/vf7mei3+DgyNDq80sAPS4eEW+VKZGWJ9+ElV1qdPGubN28eduzYgUOHDlm7Kqwcffnll3jnnXfg7u5u7aqUmD19vqyF7p6HZklnKGVaqKq0gOeYXYAjZ/U0se1exWr9y5lOp8OZM2eg0+mKL8xMcHbScH7i2Wt2KpUKvd6di1/TnOAcPhAe/qEmz99OzcGb351GhkaHFrW9EDuoRZl08Ow1PyYdESE7O7vc/wz97Nmz8PT0xMaNG4u8oIqts1Z+9m7KlClwc3Pj7CSw1f023f8VOUu7QCnT4gIaIHfQJpvs4NlqfsXhS9VIIAgCvL29rTJsxd5xdtJwfuLZY3aZmZno2rUr0tLV8JtyGs41A4Gn6v8gU4Mh353CvQwN6vu5YfmwVlA6lc2QEnvMj5UeawxVatmyJVSqkv2nnq2yxaFy9oKzE88m99uPbiB7cSe4CRpcproYaZiKb7Nl8Kti7YqZs8n8LMCdPAnkcjnq1atn7WrYJc5OGs5PPHvLTn3xR6z48gM8eJCHw4cPo9ozf7KsUmvx5nencfNxDvy9lVg9og28XAq+7HppsLf8WOkRBIGHnEnA+YnH2Uljc/vt1GRkxrWHO3KgUtaGz5Dt+EbtjBa1bfP/Bm0uPwvxcE0JdDodjh8/bneHb20BZycN5yeePWWnvrgV8s1vYXz9v3Fi1f+xd97hURXrH/9sSe+0EEggELpIrwoI0kRAFFAEkSKKKCrFi+VeEe+9KP5QAUsUC9aLYiGIBQU0YChKCYQaegJJCCW9bnb3nPP7Y81CSALZli2Zz/Psk8nZU975zuyc8555Z2YRTa5x8Er0Rh76dA/HLhTSMMiH1Q/3pnGIYx+E3Ek/T+Oee+4hLCyM8ePHO+X6iqJQVFQkQuasROhnPUI723CpdjsvjYJ3BhKkFJLv04SQJ7bQtElT+sa4YBfe37iUfhYgnDwbUKvVNG3aFLVayGgpQjvbEPpZj7topzu4Hs3aaXirFUpaDKdhn4kVvzdIzPw8kcSzuQT7avn8oV40r+/4mcjcRT9PZM6cOXz++edOtcHLy7nrVbk7Qj/rEdpZjyu122tXr8JYVkKqHE7SsG8goOr1Ll0JV9LPEtzLWhdDrVbTvHlzU6HnpkL6XjCWOdsst6CCdgKLEfpZjztoV3pgHervpuKtViiOHob/5C8rLjQNfJBwhu2nsgjw1vDpQ71oH1E7M026g36eysCBA506w6BKpcLHx8ftxqW4CkI/6xHa2YartNuffvoZj3x3jonyf5hkeIFslWuGZ16Lq+hnKe5lrYthNBpJSEgwdd+uHAAfDYbcs842yy2ooJ3AYoR+1uPq2pUkfo127XRTD170UAIerOzgATx6W0vu6tyEVdN61uo4BlfXz1VJSEhg9OjRNGnSBJVKxffff19pn9jYWKKjo/H19aV3797s3r3bCZZWj6IoFBYWipA5KxH6WY/Qzjac3m4XZ7Pxk1eZt2ozwb3HcVxpxhN3D2Rst0jn2GMhTtfPSoSTZwNqtZqYmBiTZ1/e3Vx82blGuQkVtBNYjNDPelxZu+JdX+C9fiZeaoWSmJH4P7gGNFdClGRZMT/k+Gg1vDWxK31a1u44BlfWz5UpLi6mc+fOxMbGVvn9119/zfz581m0aBH79u2jc+fODB8+nEuXLtWypdfHx8fH2Sa4NUI/6xHaWY9T2+3SXPLeHsgtp5cyuF9XAF4c1YFJvZvVvi1W4q73Pfey1sWoEKNb7uSVZDnXKDfBXeObXQWhn/W4qnaFOz7Cd8MTaNVQ2uZu/B/4okIPniwrPLP2IP/56ahT32a7qn6uzogRI1i8eDH33HNPld8vW7aMRx55hOnTp9OhQwdWrlyJv78/H3/8scXXKisro6CgoMIHQJIk89+r0+X1SVGU66ZVKlWFcVGyLJv3qSqtKEqldPn5qkvX1BZHpR2ZJzCNK1OpVB6Tp9pKu3vdMxqN5mtVlzYYDBXS5ceWpxVFqZQuv055WpblCumre57Cw8NRq9UVtkuSVCFdXRtRnjYajRXSNcnTjxs2cSC9EJ0mkFyCeG5EOx7sHWlznqpLOyJPsiwTERGBWq12aDldL0/WIO7SNmA0GomPjzcVQkBD00bRk1cjKmgnsBihn/W4onb5vy0jaPPTaFRQ2uE+/O7/BNQV14TalZLDd4npfP7nWY6cL3CSpa6pn7uj1+tJTExkyJAh5m1qtZohQ4bw559/Wny+JUuWEBISYv5ERUUBcPjwYQCSk5NJTk4G4Pjx4+ayLCkpoazMNK68uLgYvV4PQFFRkfmhJT8/3/xwUlhYaH74KCgoMD/4FBQUmB9wrk2D6eHlasezsLAQMNWt8rTBYKCoqMisT3FxMWByYEtKSgDQ6XSUlpaa0zqdDoDS0lJz+kZ5Ks9HuQaOzlN+fj6KonhUnmqjnNy17pXn49ChQ6SlpQGwc+dOMjMzAVMYd1aWqXMgPj6evLw8ADZt2mS2Z8OGDeh0OoxGIxs2bMBoNKLT6diwYYNZi02bNgGQl5dHfHw8AFlZWSQkJACQkZHBL7/8gtFoJC0tzRwKnpKSwv79+wE4efIkBw8eBCq2EQcPHuTkyZMA7N+/n5SUFAB27959wzwtWbKEB19dzaOBy7hX/yLD+/Vl1m0xdslTZmYmO3fuBHB4nv744w9+++038/3PUeVUXZ5SU1OxBpVy9SumOkBBQQEhISHk5+cTHGzbRAWyLJOVlUWDBg1Q/zQX9n0GA/8JA5+1k7WeSwXtRI+AxQj9rMfVtMv9aRFhe1cAoOsyDd+7lkM1dn295xz+3lpGd25S5fe1gbP1s2cb7ixUKhXr1q3j7rvvBuD8+fM0bdqUnTt30rdvX/N+zzzzDH/88Qe7du0CYMiQIRw4cIDi4mLq1avHt99+W2H/csrKyswPzGDSLCoqipycHMLCwswPxxqNhuLiYs6ePUvLli3N4XDlPU3XpsH0AFzeGyXLMiqVqto0YO6FKU+r1Wrzg3dV6etdvzbSjs5TuX5X1wV3z1NtpN217ul0OlJTU4mKisLf3x+1Wo3RaEStVldKGwwGNBqNOa3ValGpVOY0mJzRq9NeXl4oimJOy7KMJEnmtCzLaLVajEYjly9fJjw8HMC8vbwnvzwNpnahurTRaESlUpnTVeXDaDSiNhRz9NuX6ffmYUKHzgZg1oAWPHNHuwr5syVP1aUdkSe9Xk9ubi4NGzZEkiSHlVN16dzcXOrVq2fxfU8shm4DarWaRo0amf4RPXkWUUE7gcUI/azHlbQ7+9d6mv/t4On7PIXv8P/AVbPHybJCYZmRED/TQ+GEns4fw+BK+tU1fvvttxrt5+PjU+X4JY1GU+Fvebr8QfjqmQurS3t7e5vTVzv51aWrOk/5A3lV6Rtd39FpR+fpav08JU+1lXbHulf+v1arNdtW/vB/bfpq59+StEp1JZS13Cm5Nq3VaomIiDAfW7792rbgRunqbK+QlnTkvncHHQuO8sId43lHgkf6t+DZEe3NetgjT9WlHZEnb29vs4N8dR2zdznVJE+W4PzX2G6MwWBg48aNpvCBcidPjMmrERW0E1iM0M96XEW7/fv30/OuR/ggLQbDwBfwvuO/FRw8SVZ4du1B7l25k+wi11maxVX08yQaNGiARqPh4sWLFbZfvHiRxo0bO8mqysiyTH5+vjk0rq6QmpqKSqUyh2hZS13Vzx4I7Wyj1tptfTG57w4lrOAoBYofCXJnpt0SzT/vbF/BAXY33PW+J5w8G9BoNPTs2dPkYZtn1xROXk2ooJ3AYoR+1uN07Yxl7Nj0A7fddhvDhw9n+spdeA1cUGEXSVZY8N0Bvk1M59SlIvafs+3h0p44XT8PxNvbm+7du/P777+bt8myzO+//15lOKazUKlUBAQEVHhYkySJrVu38tVXX7F161arJwioC1Sln6BmCO1so1babX0Jue8OJyz/KEWKD1P0z3Nzr0EsGt3B7cvNXe97wsmzAbVaTb169a5ZQkE4eTWhgnYCixH6WY9TtSsr4tKbgwhc9wCzZzzAZ599ViGsA8Agycz9Oom4fRlo1CremtiVIR3Ca9/WahB1zzqKiopISkoiKSkJME0OkJSUxLlz5wCYP38+H374IZ999hnJyck89thjFBcXM336dGeaXQGVSmUefwIQFxdHdHQ0gwYNYtKkSQwaNIjo6Gji4uLsfu2ysjJ8fHzMEyqAaZKLZs2asXXrVpvP/91339G9e3f+/e9/06xZM0JCQliyZInN572aa/UT1ByhnW04vN3Wl5D73nDC8g6hU7zwn/Ej0yeM579jOnpEmbnrfc+9rHUxDAYDP//8s6n71l+sk2cJFbQTWIzQz3qcqd1XH8ciZx6ifbgPr8ybVumGUWaUeHz1Pn48cB6tWsU7E7syqpPzJlmpClH3rGPv3r107dqVrl1N60TNnz+frl278uKLLwIwYcIEXn/9dV588UW6dOlCUlISv/76q3kciDXExsbSoUMHevbsaZc8yLJMXl4esiwTFxfH+PHjSU9Pr7BPRkYG48ePt7uj5+PjQ5cuXdi7d6952+uvv07Xrl0ZOHBghX0ff/xxQkNDq/1s37690vn379/PsWPHaN26NWfOnCEuLo6FCxdWmMDGVq7WT2AZQjvbcGi7rS8hd+UIwnIPolO0+Mz4CXWz3ozp0hS12v0dPHDf+55TZ9dMSEjgtddeIzExkczMzAqzjVXF1q1bGTRoUKXtmZmZNR63YM+Z2RRFobCwkKCgIFRFl+CNNqBSw8KsStOfCypSQTsPeMtT2wj9rMcZ2imKwr///W8WL17MN2++wNgxoyCyR4V9SvUSj/4vkYQTl/HWqlk5uRu3t3OdHrxynF33PGF2zdrmeprpdDpSUlJo0aIFvr6+1z2PolxZe6xFixaVHLxyVCoVkZGRpKSk2DW86amnnkKv17Ny5UoyMzPp0KEDf/31F23btrX53HfeeSft2rVj2bJlgOm5IjIyktLSUs6fP0+LFi3Izc0lNDTU6muU66dWq0W7bSHuqp0lvy9H4rB221BK7nt3EJaTRJHiy7tNX2XuQ1Px1npWH5K73vecWgrFxcV07tyZ2NhYi447fvw4mZmZ5o+zZnpTqVQEBwebCty/vmmjIkNprlPscScqaCewGKGf9dS2dsZze3jrydEsXbqUdevWMXb2S5UcvEKdgamf7CbhxGX8vDR8Mq2nSzp4IOpeXaZ8mvHt27dX6+CB6YEoLS2Nbdu22fX6vXv3NvfkvfDCC0yePNkuDh5AUlISd911l/n/Q4cO0bp16ypnw7SWcv3Eb8dyhHa24ZB2+yoHT6d48Yj0HOcCO+MhnXcVcNf7nlOdvBEjRrB48WLuuecei45r1KgRjRs3Nn+cFSNrMBhYv369qftWowW/MNMXYlzeDamgncBihH7WU5valR6Iw/jhMB4J2caudSsZPXp0pX2yi8qY+OFf7E7JIchHy2cP9eLWVg0cbpu1iLpXdykPmcvIyKjR/uULCduL3r17c+jQIXbv3s3333/PokWLqtxv1qxZBAYGVvu51vm8dOkSFy5coFu3buZtiYmJ5tDa6OhoFEWxqRcPRMihLQjtbMPu7ba+xOzglSlafB76gX/OeogVE7qg1XhWLx64733PLUuiS5cuREREMHToUHbs2HHdfcvKyigoKKjwAcwzgEmSVGXaaDRWSJc3LFenwbQ4rVarxWAwID+0Gf5xCkNoC/OCmAaDwbzg5rVpoEJaluUKaaPReN20JEkV0vbI09Vpg8FQIW3PPKnVam6//Xbzgo+ekKfaLCe4pu55QJ48re7lbX4N77jp+GpklGZ9aHfrqEp5Op9Xyr0r/+RwRgH1A7z54qEe9IwOc+lyAufXPYFzKH+b3aRJzcaJXr0ulz1o1aoVQUFBTJgwgeeee44GDap+GbJy5UqKioqq/fTv37/C/vv37ycmJqZCGFRiYmIFp88euGtvgCsgtLMNrVbLsGHDKqz9ZjWKQs7KkX/34Gnxnv4Dqua3cHNkiEc6eGBn/WoRtyqNiIgIVq5cydq1a1m7di1RUVEMHDiQffv2VXvMkiVLCAkJMX+ioqIAOHz4MADJyckkJycDcPDgQU6ePAmYGv2UlBQAdu/eTVpaGgA7d+40v53ctm0b+fn5AMTHx5OnqQ+BDdm0+TcKCwsB2LBhAzqdDqPRyIYNGzAajeh0OjZs2ABAYWEhmzZtAiAvL4/4+HgAsrKySEhIAExvQ3fu3AlAWloau3fvBkyzs5XPNHby5EkOHjxoc54SEhLIysq6kqe/1wXatGmTXfN04cIFc7l5Sp5qs5wq1T0PyJPH1L0d20hbNZXQHYvRqCC3xV0EPPwT8Tv2VMjT4bOXuHfln5zJKiYi2IcvZ/TkbNJ2ly8nZ9e91NRUBM6lf//+REZGVvvArVKpiIqKquRM2YPevXsDpvF59mL//v2VHLqre/LOnTtHYGCgud4LBO6IvRyUPxISeG7DJQoUf57yeonzofZ9GeKquJuDB4DiIgDKunXrLD5uwIAByuTJk6v9XqfTKfn5+eZPWlqaAig5OTmKoiiK0WhUjEZjpbTBYKiQliSpUrqkpET5/vvvFb1er+j1evN2vV6vyLJcIS3LcqW0oigV0pIkVUgbDIbrpo1GY4V0VfmwNE9Xpx2ZJ51OZ9bOU/JUm+Uk6p6L1j1doZK5fJCiLApWlEXBim7zy4r09z7X5ulyQaky8LUtysCl8UpaTrHblJOz615OTo4CKPn5+YqgZuTn51erWWlpqXL06FGltLT0hueRJEnJzc1VJElS1q5dq6hUKkWlUimA+VO+be3atXbPhyRJSqdOnZQ1a9bY/dy1wdX6CSzDXbWz5PflSPR6vbndtoUtW7Yooe1vUVo884PS6dk1yqOf71X0RvcqE2uwl37Wcr02/Ho4dXbNq1GpVDecXbMqFixYwPbt2/nzzz9rtL+9Z9c0Go1X1m45udn0aX4L3GRZPuoalbQTWITQz3ocpZ2Sn07WW0NoKGViUDRoxq1E3em+6x6TnluCn5eG+oE+drPD0Ti77onZNWtObGwssbGxSJLEiRMn7DK7pqIoqFQqVCoVcXFxzJkzp8IkLFFRUaxYsYKxY8faPT+vvfYaP/30E3/88Yfdz10bXKufoOa4q3auNLumTe12WRHnP36Q2z9IRz/sRWSVmjtuaszbk7ri5aEhmlfjrvc9N+x7rEhSUpLd4/4tobzQAUjfA7vfB9konLwaUEE7gcUI/azH3toZz+6i6KMxNNSUUqoOwm96HET1qrRf3L50DJLMhJ7NAIgM87ebDbWJqHvuwezZs5k9e7b5AcHejB07ljFjxrBt2zYyMzOJiIigf//+dl02AUxrDA4ePJi2bduydu1au55bIKgr2NJun//wfppkbWPN6Bju1qvqlINXjjve95xaOkVFRSQlJZGUlASYxo8kJSVx7tw5AJ5//nmmTJli3n/FihWsX7+eU6dOcfjwYebOnUt8fDyzZ892iv1Go5FNmzaZJwQguh/0fxraDHeKPe5EJe0EFiH0sx57a1e4cxXyquGEakopDmiO35M7qnTwdp3JZv43B3g+7hBJaXl2ubYzEHWv7qIoCgUFBVwdAKTRaBg4cCATJ05k4MCBdnfwAHr06EF+fj67d+82j6t3R6rST1AzhHa2YUu7/euvvzL8k0sky81YZJjKiI4RddLBc8f7nlPDNatb3Hzq1Kl8+umnTJs2jdTUVLZu3QrA0qVL+eCDD8jIyMDf359OnTrx4osvVnmO6hChPgKBwC4oCpfXPEHD4/8DoCRyAP6TV4Nv1e2Koig8891B6gV48+wd7VB74mJCtYBowy3HXouhCwQCy3Dr35cs89OGDUxa8CoNxjyLAtx5c1NW3N+lTjl4roC19z2XGZNXW9h7TF5hYSFBQUFuFSPuCgjtbEPoZz320u6HH37g9MrJzOuloqzXE/jc8R9QV+zFKC4zvfUL8DGFeMiy4vbOnbPrnnDyLMdeTp6iKMiyjFqtFu2OFQj9rMddtXMVJ8/idrskh5x3BvP4RoldPV9GQc2oThEeuw7ejXDX+17dKyk7YjQa2bZt25XuW1mCnBTISHSuYW5AJe0EFiH0sx5btZMliZdeeol77rmHvB5PIT+4Hp87X67k4GXmm9bAm7NmP5Jsepfm7g4eiLpXlyl/0Klj74bthtDPeoR2tmFRu110mbw3+1Ov5AzL+hXijZHRnZvUWQcP3Pe+J3ry7ElxFrwWY0ovzAaNew3QFAgE16d4z5ec+Op5hn6Sy0effF7tbMCHM/KZ8dkeLhaU0SDQm7jHbqVZffecZMXVED15llOTnrzo6Gj8/PycZKFA4JmUlpaSmprq9J68GlN4gby3BxKqz+SSEsok/T/p2LkXr9/buc46eK6A6MlzArIsk5OTgyzLpg1+YcDfb+pLsp1mlztQSTuBRQj9rMda7Y7u/wt93ON0Dc7jyKfzqnXwNh25wH3v/8nFgjJaNwpk3eOe5eCJuudZlE+Uotfrb7hv+TTidezdsN0Q+lmPu2pXUlICgJeXl1PtqFG7nZ9B/pv9CNVnUqgK4j/1l9K5ax/euK/u9uCV4673PdHVZAOSJLFnzx5uv/121Gq1KVzLvz6UZJk+QeHONtFlqaSdwCKEftZjjXarV69m5syZPDe+O8+M7034nQsr7aMoCu/9cZrXNh5HUaBfqwbEPtCNED/n3tztjah77sPV6+RVh1arxd/fn8uXL+Pl5XXdMpVlmeLiYgICAkTZW4HQz3rcTTtFUSgpKeHSpUuEhoY6ZNZZS7hhu517lvy3byNEzqVQE0bQ7C38X0AUfl4ajxhmYCvuet8T4Zr2JrY3XD4GU9ZDy4H2P79AIKg19Kf+4IN3VjD3nR959dVXefrpp6scdK0zSPwz7hBx+zMAmNK3OQtHdRAzkDkAEa5pOTfSTK/Xk5KS4nZvqQUCVyc0dbt13gAAIABJREFUNJTGjRu79mQx2acpeGcgwUoBF1UNCZ+zBULdd6kST6TOLobuTGRZJisriwYNGlzx7AMampy84iznGufiVKmdoMYI/aynRtrJMjk/LiQ48R0m+0HPn1bT+44JVe56sUDHo18kkpSWh0at4qXRHXiwb7TjMuBkRN3zPLy9vWnduvUNQzZlWSY3N5ewsDBR9lYg9LMed9TOy8vL6T145VTbbl9KpujdwQRTzCm5CZP0/2JFlh+3hDrPVlfEXe97wsmzAVmWOXz4MAMGDLhS6P71TX+Fk3ddqtROUGOEftZzQ+2Ks7iw8m4aFx4CNfjcPIbet4+q8lz7z+Xy6BeJXCosI8TPi9hJ3ejXuoGDc+BcRN3zTNRq9Q0nhjAajRw/fpwBAwag1YrHB0sR+lmP0M42qmq3lfP7KXn/DgJVOvJ9o9jSeRV3K8H0janvZGtdD3e974lwTXvz8z9gz4fQ/x8wuPK4HYFA4Lroj/9OyerJhKpLMKBFM3o56m4PQhWhNt/uTeNf6w6jl2TahAfy4ZQeNK8f4ASr6xYiXNNyhGYCQd1FkiS2bdtGZmYmERER9O/fH/X5REo/Gom/Sk9+QAwhs38D/3ooiuLaoaV1FDG7phOQZZmMjIyK4xgC/n6LXyJ68q5HldoJaozQz3qq1E4ykvXNXLRfjiVUXUKxX1O8HtuGuvuUKh284jIjyzefQC/JDL8pnLjHb60zDp6oe3UXUfa2IfSzHqGddcTFxREdHc2QIUN45513GDJkCM2bN2f1oin4q/QcUrVF+6jJwQOEg1cN7lr/hJNnA7Isc/r06aqdPBGueV2q1E5QY4R+1nOtdkruWS4u7UGDo5+gVkFp+3sJmLcHwjtUe44AHy3vTe7O/KFteO+B7gT61J3wIVH36i6i7G1D6Gc9QjvLiYuLY/z48aSnp6PVarnrrrvQaDRkZGTw1Nl+vGiYyn2lz7IlVedsU10ed61/IlzT3hz5Hr6dClF9YMZG+59fIBDYjaKdH6P+ZQH+GiNl+OA97j1UN4+rct8/T2eTVVTG6M5NatlKwdWI0EPLEZoJBHULSZKIjo4mPT3dvG1QtIadaTIBQx4nqMsIAF4a3Z5pt7Z0lpmCGiLCNZ2ALMucPXv2mp68hqa/xZedY5SbUKV2ghoj9LMeWZY5d+IQmbGjCNw0D3+NkeJ6N+EzZ3e1Dl7i2Rwe+Ogv/vHtAZIzC2rZYtdC1L26iyh72xD6WY/QzjK2bdtWwcGb1tWHzQ8GEDe7I2FdhqLIElkbVhBtOOdEK90Hd61/wsmzgarH5JU7eSJc83q4a3yzqyD0s56SkhK+e+0pIi5vQ1JUGPotIGB2AoRFV3tM16gwBrRpyKhOTYiuI2PvqkPUPfchNjaWDh060LNnT7ucT5S9bQj9rEdoZxmZmZkV/k/NBwMa8oNaIkkyWT++TvGh3yrtJ6gad61/IlzT3pTkwNIWpvQLl0Hrbf9rCAQCq0hMTGTKlCnk5uayfdHttLxzDkRV/QB8IC2P1uGB+HubxtvpDBI+WrUYmO5kROih5QjNBIK6xdatWxk0aBAAKq0PDe95nk4xjTlhaMTl9a9Semo3AFu2bGHgwIFOtFRQE0S4phOQJIlTp04hSdKVjb6h8PguWHAGNF7OM87FqVI7QY0R+lmGMfVPzr7UgdG39+Hmm2/mhx9+oPnDn1Xp4Mmywvt/nGbcezt5cf0R83ZfL41w8BB1ry4jyt42hH7WI7SzjP79bmX56Hrc1MSPRve+hF/LHpyWwsn+/mVKT+1GpVIRFRVF//79nW2qW+Cu9U84eTagKAq5ublU6AxVq6FROwioX+XU6wITVWonqDFCv5pz8MABTq4YQ3My2PbSUP73v/+hKEqV2mUXlTHjsz0s+eUYRlmh1CBhkNwrPMPRiLpXdxFlbxtCP+sR2lmAZKRw9VTmdjOyaXo96jVrjVxWzEAOY0g7ZH5ZuWLFCjQajZONdQ/ctf6JcE2BQOCRGAwGXn31Vf773/8ye9wAXhkdid/dy8zrAV3L9pNZzPsmicuFZXhr1bw0+iYm9ooSvXcuhmjDLUdoJhDUEQw6cleNI+zCdoyKmmcMM1lb0o0La/6F/uJpAKKiolixYgVjx451srGCmmJtG153FndyAJIkcfLkSVq3bl3xbciBryF9D3QcC81vcZ6BLky12glqhNDvOpQVcfGrJ1i7YQsrfi/i008/ZeLEiWZn7Vrt9EaZZZtP8H7CaRQFWjUK5O2JXWkfIR6Gq0LUvbqLKHvbEPpZj9CuBpQVkrtyJGG5BzAoav6p/Qc7fHqz8cmeZI5pRHZ2NvXr12fAgAFCQwtx1/onnDwbKS0trbzx5EY4vBbCmgsn7zpUqZ2gxgj9KqM7soGSrx8hXF3EzPYq7ns1gQYtO1Xar1y7U5eKmPv1fg5nmJZFmNS7GQtHdsDP230acWcg6l7dRZS9bQj9rEdodx2Ks8mNHUxYSQo6RYv3g98xM6gHT3lpiKrnT+tGAzh48CCdOnVyKyfFlXDH+ifCNR3BgTWQdRLaj4YmXRxzDYFAcIWiy2R+Oo2IrO0AlHg3wP++96HVkCp3VxSF//11lpc3JKMzyIT6e/Hq2Ju5o2NEbVotsAJHt+FpaWlERUXZ/bzORIRrCgQeTH46ee/cTqjhIoWKP4GP/IQqsruzrRLYETG7phOQJInDhw9Xnm2n8/0weKFw8K5DtdoJaoTQ729kmYKtsRT9X3sisrYjKyrKuj6E/9MHqnXwzucWM/7teBauP4LOINO/dQM2zh0gHLwa4ul1r127drz44ouUlJQ42xSXw9PL3tEI/axHaFcNl09QsKIvoYaLZCr1uFf6L/vllpV2E/rZhrvqJ5w8gUDglsiZB8lc0pXgrf8kUGOgKCgG9cx4fMYsB5/Aao976cdkEs/r8NaqWTS6A59N70V4sG8tWi5wZTZv3szGjRtp3bo1n376qbPNEQgEgipR0vdS/E5/gpUC8r3CWd7sHeo170ib8CBnmyZwEUS4pqMozoaMvVC/FdSPcdx1BIK6RlkhF7+eR/1T36JVgx4vNEMWouk7GzQ3HmacllPCgu8O8N8xHWktboZuR2214Z9//jn/+te/aNSoEStWrHDr9aREuKZA4FlIxzdjWD0BX7VEfmAMIY9tRucdCpjWdBV4FiJc0wlIksT+/fur7r799Vn48j449F3tG+YGXFc7wQ2pk/opCkU7V5G3uDXhZ0wOXkn0MLznHUDTb061Dt6GQ5m8vvG4+f8mIT4829OXlg38a8tyj6Ku1L0pU6Zw/PhxRo4cyYgRIxg/fjwpKSnONssiYmNj6dChAz179rTL+epK2TsKoZ/1CO2uUFpaSuLKR/FVSxzx7kzwk39AQH18vTTVOnhCP9twV/2Ek2cjfn5+VX/RtIfpb8be2jPGzahWO0GNqEv6SZLEB++vJGX1fEI1pRT7NIYH1uI/7VsIaVrtcccuFPD46n28s+UUe1JzzNvrknaOoC7pN2zYMB5++GHWrVtHhw4deOaZZygqKnK2WTVi9uzZHD16lD179tjtnHWp7B2B0M96hHaQm5vL0GHDmHJmOCuMY7m74Gm2ptRs1kehn224o34iXNNRpO+FjwaDXz145gyIBZUFAsspusz2PfuZ84/nOX78OCv/OY37+zZD238OaH1qdIqXfjhCkK+WJ25vhY9WhLG4O45uw1euXMmePXvYs2cPycnJqNVqOnbsSJ8+fejcuTNr1qzh1KlTxMXF0aNHD7tf3xGIcE2BwM1RFLJ2fsFts16j7OaxGJv1AuDZO9ox67aW5nVgBZ6JCNd0AkajkT179mA0Git/2fhm0HhDaQ7kuleIT21wXe0EN6Qu6Hd503JK/q8dm166i44dO3L8+HEm//MdtIOeqdbBS88t4dEv9nIu+8rMiItGd+DpYW3NDl5d0M6ReLp+L7/8Mvn5+UyZMoUtW7aQl5dHYmIisbGxzJw5k/j4eGbNmsW0adOcbWqt4+ll72iEftZTp7VTFPI+f5AGm5/k0aExGJv1Qq2CJWNv5rGBMTVy8Oq0fnbAXfUTi6HbgEqlIiwsrOofmNYHGncyhWum74V6lae0rctcVzvBDfFk/fLz83nllVc4v+ltvhjjxT/G9SD4yU+v2xtulGQ+3ZnKss0nKNFLGCSFj6eZxiFdq5Ena1cbeLp+aWlpN9xnxowZLFy4sBascS08vewdjdDPeuqydjt27mT95xt5pZ+aNL/WeKvUvHV/V+7o2LjG56jL+tkDd9VPOHk2oNFoaNWqVfU7RPa44uR1uq/2DHMDbqid4Lp4on7GM9vZuO5Lpi75hsDAQJa88hFK12CC2955XQfvUHo+z687yOGMAgB6RofxzzvbV7u/J2pXmwj9oFGjRsTHxzvbjFpHlL1tCP2sp65q9/333/PAjMdo+dCb7NUXc9m7GZ9P7UGflvUtOk9d1c9euKt+IlzTBoxGIzt37qy++1ZMvlItN9ROcF08ST/lUjIZrw9A+/lIel5YzcJn53Hs2DEmTpqEqv0oUFfdTBXoDLz0wxHGxG7ncEYBwb5aloy9ma9n9qVVo+rXyfMk7ZyB0M/0Vve2225zthm1jih72xD6WU+d0y77NKlL+jBr9hO0mBlLoSaEgoAWrHm0j8UOHtRB/eyMu+onevJsQK1W07RpU9TVPIQS+beTd+EQGMtqPFFEXeCG2gmui0fol5fG+a/mEH7hd5qqQFJUBPeawJyRj4Fv9YuTK4rCDwfOs/jnZC4XlgEwunMTFo5qT6OgGy9q7hHaORGhX91FlL1tCP2spy5pp6TvpfjDUUSrSvloxi08ofchur4/nz/Um2b1rVv6py7p5wjcVT8xu6YjURR4LQZKsmHGbxBln7WKBAK3pvAimd8uoH7qD3irTc1PSfMh+I9aAg3bXPfQ4xcKeemHI/x5JhuAlg0C+M+YjvRr3cDhZgtcAzFTpOUIzQQC98Bw5Efkr6fio5Y4JLfgIf0CIiKb8/G0njQIFB0FdRUxu6YTMBqNJCQkVN99q1KJkM1quKF2guvilvoVZ3Pxf7PQLW1HxLn1eKsViht1hxmb8Z++9roOXn6pgX//eIQ739rGn2ey8dGqeXpoG36Z299iB88ttXMh6pJ+ubm5fP311yxbtoxly5axZs0acnNznW2W06hLZe8IhH7WUxe0K93+LupvJuOjlkgP6cGD0iLatW7Fl4/0sdnBqwv6ORJ31U84eTagVquJiYm5fvdtechmunDyrqZG2gmqxa30K8nh0pezKX21NeGnvsJXI1MU2h6mrCfg8XiI6nXDUxy/UMgnO1KRZIU7bmrMb/Nv48nBra1a986ttHNB6op+q1atonfv3vz111/Isowsy+zatYtbbrmFVatWOds8p1BXyt5RCP2sx6O1k2UK1j2N32/Po1FBQasxRD71K6tmDmTV1J4E+tg+ssqj9asF3FU/Ea7paE5vgS/uhoBGMP8oaLwcf02BwEU4+dtnRP4xDz+NBEBRcCsCRy6GNndcd8ZMgAv5OhqHXBlj99rGY/RuUZ8BbRo61GaBa1NbbXjbtm1JTEwkMLDiJD5FRUV069aNEydOOOza9kaEawoELoqxjLxPJxKa/jsA6Tc/QeTYxTe8PwrqFiJc0wkYjUbi4+Ov330b3Q9CoqDlbaArqD3jXJwaaSeoFpfWT5bYs2cPd911F13vnIZeVlEU1BLu/5LAeXuh7Yjr3sBK9EYe+18iA1/fQkZeqXn7guHt7OLgubR2bkBd0U+lUlFUVFRpe2FhodutlWQv6krZOwqhn/V4pHYlOeS+NZDQ9N8xKmqe1s9iwsnB6Iyy3S/lkfrVIu6qn5hd0wbUajUdO3a8fvetxgue3Ada79ozzA2okXaCanFF/ZTCi5xf/ThFJ3fSe9kFRo4aRfz2XYS0agBhLWr8ZtLPS0N2sR69UWbHySzu6xllVztdUTt3oq7o9/rrr3PbbbfRsWNHmjZtCkB6ejpHjhzhjTfecLJ1zqGulL2jEPpZj8dpl5NC3rvDCDNeolTxQn/flyT/5sfCwa3w9bJ8GMKN8Dj9ahl31U+EawoEApuQJInvv/+e95YtIW7ACYJ9VJzq/xatBk+t0fE6g8T//jrL+O6RhPqbXoacuFiIokDbxkGONF3ghtRmGy5JErt37+b8+fMANGnShF69eqHR2P8hzBHExsYSGxuLJEmcOHFC3PcEAhdAOZ9E8ft3EKgqpVAdQtCjv0J4ByRZQaOum1ECgutTa+GaU6dOJSEhwdLDPBKDwcDGjRsxGAw1O+BSMhz/1bFGuQkWayeogNP1k2XKDv/I4aV30K5dWx544AFiOnandNB/4KGNNXLwJFnhu8R0bn99K4t/TiZ2yynzd23Cgxzm4DldOzenLumn0Wjo27cv48aNY9y4cfTt2xeNRsOuXbucbVqNmD17NkePHmXPnj12OV9dKntHIPSzHk/RTqfTMevZl7lUZOCIEs2mAWshvAOAQx08T9HPWbirfhaHa+bn5zNkyBCaN2/O9OnTmTp1qjmUpa6h0Wjo2bNnzd7qnvkDPr9LTMDyNxZpJ6iE0/TTl5C/7X30CW/SUJVLR+C5+8cy6olXCQ8Pr9EpFEVh09GLvLHpOCcumsY8RYT4clOTEAcafgVR92xD6Af33nsv586dc7YZtY4oe9sQ+lmP22unKGRlZ3P33XeTKoVxPOoNLpUF0faonrsHOL4Hz+31czLuqp9V4ZqXL1/miy++4LPPPuPo0aMMGTKEGTNmMGbMGLy8XNt5cVq4pmSANztDk64wajkENqq9awsEtpKXxoWfXiHw+LcEakxvsspUPqi6T8N7wDwIjrjhKRRFYefpbF7beJyktDwAgn21PDawFdNvjXbIOASB51Fbbfh9991X5XZFUfjll1+qnJTFVRHDFAQCJyIZyFs9naVfbmGd3z3o2o5AAYa0b8RbE7vi7y2mxxBcH2vbcJvH5O3bt49PPvmEjz76iMDAQCZPnszjjz9O69atbTmtw7Dnzc5gMLBp0yaGDRtWM+fWoAMv3xvvVwewWDtBBWpFP0XBeHormev/Q5OCfWj+ftFY7N0Qv0HzUXd7EHxqFlK5OyWHNzYdZ1dKDmCaXOWhftHMHBBDiF/tlr+oe7bhbP1qy2GpV68eX3zxRaUlFBRFYcKECVy8eNFh17Y39tLM2WXv7gj9rMedtUte8yLtj71JmaKhf9lbXCKMKX2bs2j0TbU2Bs+d9XMFnK2ftW24Ta8PMjMz2bx5M5s3b0aj0XDnnXdy6NAhOnTowNKlS5k3b54tp3d5tFot/fv3R6utoYzCwTNjsXaCCjhUP10+uX+sxLBzJY1UOUQBqKCoYXcCb59PQNsRoK5Zr1vi2RxW/HaSbSezAPDWqJnUuxmPD4qhUZBzfg+i7tlGXdFv4MCBBAUFMWDAgErfderUyQkWOZ+6UvaOQuhnPe6q3apVq3jsyeWsmdePH5VbuawK44U72zOjX4taXYrFXfVzFdxVP4t78gwGAz/88AOffPIJmzZtolOnTjz88MNMmjTJ7F2uW7eOhx56iNzcXIcYbQsuEbaSfRr2fgxD/wtuNh2rwHORJImDaxbT/vgKfNWmdXr0eKN0HIdP/6fMg8NryvNxh/hqt2ncklat4r6eUTwxqBVNQv3sbrug7uASbbibITQTCGoX6exfLHxnDW98+BWdn1zJJYM3vl5qVkzoyh0dGzvbPIGbUWuza0ZERPDII4/QvHlzdu/ezd69e5k1a1aFiw4aNIjQ0FBLT+12GAwG1q9fb9lsOwYdfDwc/nwHEj92nHEujlXaCczYTb+SHDKP/snixYuJiYnh/rkv46uWKfKPRBmxFO/nTuEzfmWNHDxFUZDkK++MujcPQ6tWcX/PKLb8YyCv3HOzSzh4ou7ZhtCv7iLK3jaEftbjTtrpdn6AvOoO+mZ/TfunPuKSwZsGgd6smdnXaQ6eO+nnirirfhb35H3xxRfce++9+Pq6Z+ihPd9oKoqCTqfD19fXsm73Xe/DL8+AdxA8sRuCm9hkhztitXYCwHb99Ho9SZ89R5e0j9lwwsA/9kYwc+ZMpk6dSrhyGcJvqvHi5QA7TmXx2sbjjOseyYN9mgNglGQuFOiIDPO32D5HIuqebThbP0f3Ss2fP7/K7SqVCl9fX1q1asWYMWOoV6+e3a/tKOylmbPL3t0R+lmPW2gnSxSsnUvwkc8B2CD3Ya7+MaLDw1g1tSdR9Zx3L3QL/VwYZ+tXa2PyHnzwQUsP8Wisis/t+TAc/AYy9sKGBXD/avsb5ga4W2yzq2GpfsqlYxw+coT3127hq6++Itq/lMQZXgzu2Y6Tq/9CZV7Wo2ZLIVzN6ctFJKXlUVRmZHLvZqhUKrQatcs5eOWIumcbnqzf/v372b9/P0ajkbZt2wJw4sQJNBoN7dq149133+Xpp59m+/btdOhgWQizJ+DJZV8bCP2sx6W10xWQ+9FYwrJMa1KuMI5jhXEs/Vs3JPaBbgT7On+yE5fWzw1wR/3EgDArkSSJrVu3smHDBrZu3YokSTU/WK2Bu94CtRaO/QSHvnOcoS6K0Whkw4YNGI1GZ5vidlhU9wovkP3Tf8h8qQ2qd3tz6J0HOXjwIEuXLmXLkQvw+C6C5u+9ysG7MUVlRj7adoZfDmWat93bPYqnBrfmq0f6uPxbQlH3bMPT9Rs7diyDBw/m/PnzJCYmkpiYSHp6OkOHDmXixIlkZGQwYMAAj59YrCo8vewdjdDPelxau5wz5L3Rk7CsPehlDYZ7PiJw+As80Ls5n0zr6RIOnkvr5wa4q342L6FgCwkJCbz22mskJiaSmZnJunXruPvuu697zNatW5k/fz5HjhwhKiqKF154gWnTptX4mvYIW4mLi2POnDmkp6fj5+dHaWkpkZGRvPnmm4wdO7bmJ4pfDAmvgcYHJq+FFv2tsscdURQFo9GIVqt1eafAlahR3SvJoWD3l+Tv+Jgm+tPmpQ8k1JQ2H0LgtG8sCsUs50K+jk93prJ611kKdUZaNQpk09wBqGtpCmh7IeqebThbP0eHa0ZFRbFx48ZKvXRHjhxh2LBhZGRksG/fPoYNG0ZWVpbdr+8I7BmuKX471iP0sx5X1U46tQXdFxMIUJVRoAom6OH1qJp2o/zR2lVsdVX93AVn61drE6/Yk+LiYjp37kxsbGyN9k9JSWHkyJEMGjSIpKQk5s6dy8MPP8zGjRsdbOkV4uLiGD9+POnp6ahUKvz9/VGpVGRkZDB+/Hji4uJqfrLbnoN2o0Aqg68mwvkkxxnugrjbGxFnc72698jk8Wx/+zHOvdoH46stCd76L6IMJgevMOwmlDtfR7PgFIHTv7XYwTuYnsecNfvp93/xrPzjNIU6Iy0bBjCjXwtk570jsglR92zDk/XLzc3l0qVLlbZfvnyZgoICAEJDQ9Hr9bVtmkvgyWVfGwj9rMeltFMUShPehi/uJkBVxmFimBn4JkX1bwZMzp2rOVMupZ8b4o76OdXJGzFiBIsXL+aee+6p0f4rV66kRYsWvPHGG7Rv354nnniC8ePHs3z5cgdbakKSJObMmWN+Q+Pr68uqVavw9fU1b5s7d27NQzc1Whi3CqL7g74Q/jcOsk45ynyXwmg0smnTJrf80TiDqureZx+8w6xefvw80Y8LTwfSL/tLmumS0aoVCgOikW9/EZ5KImjOTlS9HoGA+jW+nkGS+engeca/t5O73tnB+qTzGGWFXi3q8cGD3flt3m1M7NUMrcb9Ir5F3bMNT9dvzJgxPPTQQ6xbt4709HTS09NZt24dM2bMMEea7N69mzZt2jjZ0trH08ve0Qj9rMeltDPqyVs9Hb/4F9Co4HLkcB7T/pc0QyiXC8ucbV2VuJR+boi76ufUcM2rUalUNwzXHDBgAN26dWPFihXmbZ988glz584lPz+/ymPKysooK7vyoysoKCAqKoqcnBzCwsLMDplGo6mQNhqNqFQqc1qtVpOQkMAdd9yB0WhEkiS0Wi2SJKEoCr6+vuj1emRZJj4+noEDB6JSqTAYDObBmuVdveVpLy8vUxdwcS5eq++GzAMogY1R3b8auUk3ZFlGq9Uiy3KV6fJrl6eryseN8qRWq6tNGwwGNBqNOV3eTV2jPP2dlmUZSZLMaZEn6/JUXvd8VEYKdKa6F+otceHpQDR/h0sevCgR0PMBWo6ah6pRO6vylKeTWbP7LP/bdY6LBabfjZdGxehOTZh2S3M6RASJchJ5cmqecnNzqVevnsPCNYuKipg3bx6ff/65+Yau1WqZOnUqy5cvJyAggKQkU9RFly5d7H59RyDWyRMI7ETRJXLfH0VY4XFkBcr6P4ff4OdIvlBIwyAfGgT6ONtCgQfiluGalnLhwgXCwyvO/BceHk5BQQGlpaVVHrNkyRJCQkLMn6ioKAAOHz4MQHJyMsnJyQAcPHiQkydPAqYZ1lJSUgDTW9u0tDQyMzP597//Te/evQGIjo4296xMmjSJmJgYAPLz8yksLARgw4YN6HS6CoM2dTodGzZsAKCwsJBNf/wJD6zFWK8NqqIL8MkIihLeIyEhAYDMzEx27twJQFpaGrt37wZM4av79+8H4OTJkxw8eNDiPAHs3LmTzEzTJBoJCQnmcSbx8fHk5eUBsGnTJsvytGkTAHl5ecTHxwOQlZVVIU/btm1DURSPypMjyik1NZXTW7/i+JPBbJhkWmcuODgY/wZRfJBoYE/wCEb83JDOK4s5VG8Ehb5NrMrTzJWbueXV33lj80kuFpTRINCb6T3DeeM2f5ZN6EKIXOAx5STqnm15Onv2LIqiOCVPqampOJLAwEA+/PBDsrOzzTNtZmdn88EHHxAQEACYnDt3cfDsiaIoFBQU4CLvht0OoZ/1uIJ2iqLwXuzb6DKPUaT4sqvve/gNeR5UKtpHBLu0g+cK+rkzbquf4iIAyrp1665tRqpfAAAgAElEQVS7T+vWrZVXXnmlwraff/5ZAZSSkpIqj9HpdEp+fr75k5aWpgBKTk6OoiiKYjQaFaPRWCltMBgqpCVJUrZs2aL4+PgoGo1GAZTQ0FBl6dKl5v/LP++//74iy7KiKIqi1+sVWZYVWZYrpRVFqZCWSvIUafX9irIoWJE3PKMYDAbTdkmqMm00Giukq8rHjfJ0vbRer6+QtipPklQhXW6vTqdTfvzxR/M1PCFPdiunnHNK/tZYJf7DF5SJEycq9evXV6KCVYqyKFgp/VeQEuiNEhISonz55ZeKn5+f4uvrq6jVagVQ4uPja5ynvJIyRacrM9v73x8PK82f/UkZ88425ZvdZxWdwSjqnpvkqTbLqaSkxKyfM/KUk5OjAEp+fr4iqBn5+fl20Uyv1ys//fSTubwEliH0sx5na1dUVKTcf//9in9YI+XRfy9TBj33gdJ+4S9KVqHOKfZYirP1c3ecrZ+1bbjHh2teiy1hK5IkER0dTUZGRrXevLe3N3q9ns6dOzN58mQmTpxI06ZNa34RWYYDX0Gn+6B8WvuyQvAJsshWgRuhL8F4JoELO9egPZtAY1U2AL+egVWlwxg5ciTDhg3j+fHdWL//Evm6ynVPpVIRGRlJSkoKGo3mhpdc/NNRVu86x/sPdmdAm4aAafbMy4Vl3BwZYt/8CQR2pDZCD/Py8li1apW5t7NDhw7MmDGDkBD3+m3ExsYSGxuLJEmcOHFChGsKBJYiGcj/7ile/mwz35wPp9G4hVwqlgj00fLWxC7c3s7ydWUFAkupE+Gaffv25ffff6+wbfPmzfTt27dWrq/RaHjzzTcB00O1Wq2mbdu2qNVq80xKX331FcePH2fkyJHExsYSFRXFoEGDeP/996ucsa0SajV0feCKgycZ4ZMR8M1UKMlxYO5qF1mWycnJQZZlZ5tS+xjLkFO2c+HreaQt7oxhcRO0ayYQeW4djVXZyAoUBrdh6EMv8O233zJt2jSaNGnCmH+8S0FZ1XUPYMWKFdU6eNlFZcjyFefQKCuUGiTij12pk41DfOuEg1en654d8HT99u7dS0xMDMuXLycnJ4ecnByWL19OTEwM+/btc7Z5FjF79myOHj3Knj177HI+Ty97RyP0sx5naZf85b8ISf6Sl7rnEjHqKS4VSzSv78/3s29xKwdP1D3bcFf9nOrkFRUVkZSUZB7EnpKSQlJSEufOnQPg+eefZ8qUKeb9Z82axZkzZ3jmmWc4duwY7777Lt98802tLko7duxYvvvuO5o2bYq3tzcLFizA29ubyMhIvvvuO8aOHUubNm14+eWXOXPmDNu2baN9+/YsWrSIiIgIBg0axNtvv83Zs2drdsG0XXDxKKT8ccXx8wAkSWLPnj2WLSLvxsiXT5qcupe7Uvafxqg/G0nj5I+JMqbipVYo8aqHrsO9MG4V6mfOEDR/D5qBCyqcoyZ172oMkszmoxeZ+fleer/yO7tTr7wkeOjWFnw7qy+LRldcC6wuUNfqnr3xdP3mzZvHXXfdRWpqKnFxccTFxZGSksKoUaOYO3eus81zKp5e9o5G6Gc9ta2doij83//9H52nL2O78SbmSU+SaQykf+sGrJ99K60auVd0lah7tuGu+jk1XHPr1q0MGjSo0vapU6fy6aefMm3aNFJTU9m6dWuFY+bNm8fRo0eJjIxk4cKFtb4YOpgKfNu2bWRmZhIREUH//v2vGyYnSRI7duzg22+/5fvvvyc9PZ1OnTpx1113MWLECHr16mWega4SmQch6wTcPN70v6LAlpeh9XCI7GHVwtYCB1KQSdnpbRzKLGPzgXR27NiBf8Z2vhlz5adWqg5EaX4r/h2GQ8uBUK9ljcvxenVPURSOnC9g7b50fkg6T3bxlbW85gxuzbyhdW/ad4Fn4ehwTT8/P/bv30+7du0qbD969Cg9evSgpKTE7td0NGJ2TYGg5pTu+4bpS9bw0+YE+j/zEckFphfsD/drwXMj2rnl0kEC98baNtxlxuTVFva82cmyTFZWFg0aNECtrvmPXlEUkpKS+PHHH/nxxx/Zu3cvoaGhDB06lKFDh3L77bfTsmXL6hfSPLERvrzPlA7vCN2mQsexENDApvzUJtZq53Lo8pEz9nOyrAF79iXx119/MaRkPXc3K2DJdj1fZ7Xl1ltvZWCfbozkN/zbDYHmt0DDdjY559fql55bwvqk86xPyuDExSLzfg0Cvbmna1Pu7RFFm3D3evPoKDym7jkJZ+vnaIclPDycL774gmHDhlXYvnHjRqZMmcLFixftfk1HYy/NnF327o7Qz3pqRTuDjryvZhJ6Zj1fpoTxbtv3SS8w4q1Vs+SemxnXPdIx160FRN2zDWfrZ20bXk3XkaAmyLLM4cOHGTBggEWFrlKp6Nq1K127duXFF1/k8uXLbN68mV9//ZVFixYxc+ZM81i+/v37079/f9q0aXPF6QtuCp0nwZE4uHgYflkAvz4L0f2gwxhoOxKCIxyUa/tgrXZOpegS8vkD5BzdSsnpv/DLP0lDdT5qYNIHRZzVh9GnTx/UvW6lwC+ZeS9M4/mBV4cSz7CbKbIsszPxEHnBLfj50AX2pOaav/PWqhnWIZxx3SLp37qBeOt4DW5Z91wIT9dvwoQJzJgxg9dff51bbrkFgB07drBgwQImTpzoZOuci6eXvaMR+lmPw7XLO2da/670LLICWc2HkV5goHGwH+8/2J3OUaH2v2YtIuqebbirfqInz8VQFIUTJ04QHx/Pli1b2L59O5mZmTRs2JDevXubPz169CDMFzj4DSR9CZlJFU/UqAPE3A4xgyCyF/i6Xl5dFl0BXD5OydlEck/8iXLhMMGl6QRrdFXuXuTVgKLb/kP4rZOq7321M+uTMpj/zQGkvydTUamgT4v63NO1KcM7NibEz3PGbwoEV+PoNlyv17NgwQJWrlyJ0WhEURS8vb157LHHePXVV/Hxcd21sKrD1e97AoEzkY5vQvflZAJUZRTjx2P6OSTInegZHca7D3SnYZD7/eYFnoUI16wh9g7XLB8X5SjPXlEUUlJS2L59O7t27WLXrl0cOHAAo9FIixYt6NatG127dqV328Z0800jLHMbqoxETEv2/Y1KDT0fgTuXlp8UZAk0zuvIrQ3tbkhJDkr6XnJysjmki+DYsWMcP5bMkqDP8dVUnkFJVqDYJxx1k874x9yCKqITRHSBgPoONTO3WM/moxeJDPPjllamkNyzWUXc9vof3Nw0hNGdIxjduQkRIX4OtcNTcIm658Y4W7/aclhKSko4ffo0ADExMfj7+zvsWo7GnuGa4rdjPUI/63GIdrJE4U8vEJD4LmoV5AfEEPLI9yzZWUyJXmLhqA54az2jnETdsw1n6yfCNZ2ALMucPn2a8PBwhxW6SqWiZcuWtGzZ0jzTaGlpKQcPHmTfvn3s27ePdevWsfjIEXQ6HcHBwfTu1Jq7bw6lX0QZMZpMAvSX0fvWw7v8pHnnILYXNOkG0zdcGRuWnwH+9cHL1yF5uRqHa2cohcJMyM/AkHWGgrSj6C6eZL8xhu0ZGk6fPk3jwoO83ecC6RckBn9YSosWLWjXrh3ZXUMJ0xgxhLbCL7ob3k06QeOOqBu2J8i79h/0Pt2Zypu/n2RI+0ZmJ69pqC/LBwUwenCf6ifsEVRJbfxuPRlP1G/+/Pk13nfZsmUOtMS18cSyr02EftZjd+2Ks8j5aDz1cveDCi7HjKPh/e+Cly/PjVBqLSqnthB1zzbcVT/Rk+chSJLE6dOnOXToEMnJyRw7dozk5GROnDhBEMUYZPAOjSA6OprxN/kwr0kil7UR/NX5NZo2bUrTpk1p9N0YVJePQXATCImCkKam8X/BTSCgIQQ2goBG4F8PfENB631jw+yWQSMYisH3yjpu8uF1lGYepzQrDUNuOkrhBbx0OfhL+QSoy6o8zbIkf34p7kjLli3p3iKMCfyIEt4R34mf4ev7t3Nr0NWKo3stpy8XsenIRTYdvcDM/i0ZcbNpXOWxCwXM+/oAY7o0YdZtMbVul0DgSjiiDa9qlueqUKlUxMfH2+WatYmn3vcEAmuQz/5J8Sf3EkQhZYqWF5WZnGw8ijUz+3pMz53AsxDhmjXE3uGaaWlpREVFuaxnrygKly5d4tSpU5w+fZrU1FTOnU1Ff+EYxdmZ/HroknlK8MynA2kcWPN8SBo/LnSZQ2n7e/H19cW/8AyBu5ZDvRbIw14xLxCv2f46lGSjKAqyAoosIRn0FBXk4+vjjWzQoRhKzX/Rl3A0oC8Hlbbk5eURVnic2X4/kKHz54G/2pKdnU1WVhYb7y6iU3j19hrQUuoVhhTYFG2DFvhHtEXT6nZo1ttmXe2BQZJJPJvL78kX+S35EilZxebvxnRpwpv3d632WHeoe66K0M42nK2fcFgsx57hmuK3Yz1CP+uxi3aKQvFvS/HZtgStWqHAK5yie79i+JdZdI4MJXZSN0L8PXM8u6h7tuFs/US4phOQZZmMjAyaNm3qsj8alUpFeHg44eHh3HrrrZW+VxSF/Px8MjIyOHrhAjvPn0Z/8TjkZ6AtuYCvPpsAuYhgdSmhWj31fCRCfBTUKhUaqZR/LVzEZwf+CcAdrbT88sD/s3feYVFc+x/+zO7C0kGKgqiAqCgWsIFd7CVFY0zMTYxef4mJkVRNokmMRhNj1JhoEo0pGu81zRiNlahXEbFjAbEANlSqStulbJuZ8/uDMIFQ3N1ZdnfgvM8zD8Ps7Mz3vDN7Zs6cM+e44NwJDn0mfC7s4/orbgj1ru2noYaPp45m4T83feHl5YWeAQqgG+DhyGHo0KHw9vaGr68vPDQHUMyUw8GrNVz8giHz8K+sbXQPADxaw8HJCw521uSisEyHI1fvIz79Ho5cvY9SLSt85iiXoV+oD0aHt8Ko8FYNbkcK5569Qt2Jg/prvtBjLw7qz3ws4S73vy+gdeZvgAxQtxsFj2d+gIfSHdtfKkV7PzfIZfZ1v2BJ6LknDqn6ozV5FNPhOfCaEmiKcqGVuUJDHKHVasEV3YZz3inoZS6479sPhBAQQhBwazscuHIwAGQyBgwjg9zBEXKFA2RyByicXKFwcoWjkwvkSjfA0aWyd1DfjpX74wyVPV46edq0sxhzuX6vFLtScpFw9T4u5qhQ/RfXwsUBw8JaYlR4Kwzu5Ac3pfTSR6FYE5qHmw51RmnOEELw2Wef4bvl7+DUiy3wtcOzGDDlbQwNa2nr0CgUo6A1eTaA4zhkZmYiJCQEcrnc1uFYD5kcMlcfuLr6wLXGBx0AjBDmBOqoQTTJndyh0XuwtCR3CivgqpTDx62y2+Xzd0rwRfx14fPwAA8M79wSwzq3RGRbL7OeHjbbc88CUHfioP6aL/TYi4P6Mx+z3BEC1eX/Yeo7XyI+/jCeWvITBhbIUG5wwqWjNzGkk1+T62ClPui5Jw6p+pNOnaMdQghBcXExmlllqEVoqu7m/nYBQ1Yexh/JOcKyIR398FCPAKyc3ANJ745A3GuD8eaYMPQOamF285Cm6s8aUHfioP6aL/TYi4P6Mx+T3bF6FK0dBfetT6ClLhPjPtmFQ/ddUE6c8ETvNtgwvW+zKeAB9NwTi1T90eaaFIqJFJXrkZRZiFM3i3DyRiE2/V9fYYy67xJvYvm+dDw3KATvjO9i40gplKYHzcNNhzqjNCc4jsOyZcvQKuljTO/phGWK2fihvD+UChmWTOiKKX3b2TpECsUkaHNNG8BxHK5du4aOHTtKqvrWHpCSu7tqLZIyi4Qp425pjc9P3ijEpF5tAABTotri6eh2cG3kd+uk5M/eoO7EQf01X+ixFwf1Zz5GueNY5N25hmeei8W5c+fwfx9uwIS7aqTp2iDE1xVrn+6F8NbN8yEHPffEIVV/tJAnEo1GY+sQJIs9uuN5ghv3y3D2djHO3CrC2VvFuFNUUWu9Tq3c0K+9D/q198HAUF9huYeT9bpftkd/UoG6Ewf113yhx14c1J/5NOiu+DaKvn8cGWnXUabrgYc+2YU/bpcB8MBD3QPwyePd4W7F67M9Qs89cUjRH22uSWnWaA0cnBz+firz8JdHcSlHXWMdGQN0CfBAVIg3ooK9ERXiLXSqQqFQrAvNw02HOqM0ZfTnfwG74xW4yAzQEEc857gSJ0r94CiXYcHDXfBsv6Bm9f4dpelBm2vaAI7jkJaWhi5dukiq+tYesLW7fJUWz244jbtqLVIWjobsrw5QOvi54fq9MkS29ULfYG/0CfZGz3ZeVq2hMwZb+5My1J04qL/mCz324qD+zIPjOCQmJqKwsBA+Pj4YMmRIpT9dKYp/nokWt/+Eowy47dgR08texi2dH4J8XLD26V7oFuhp6/DtAnruiUOq/mghj9Ik4XiCm/fLkJqtwsUcFS5klyA8wANLH+sOAPB1c0R2sQYaA4fMwnKE+rkBABY90hUrn4iAg5x2PEuhUCgUii3Zvn07XnvtNdy9exdTp07Fjz/+iFatWuE/S2PR69Z6tOCLwRFA1zcWJ3yew62d6Xi4RwCWTaLNMykU2lyTInkMHI9rd8twOVeFy7lqXMxR4UquGhoDV2O9Di3dcHDOUOH/pMwihPi6ws+dNr2kUKQCzcNNhzqjSJHt27dj8uTJNbqtlzPAe0Mc8f4QJRQyBqXyFnB79icwwQNBCMHx64UY2MGHNs+kNCloc00bwHEcUlNT0aNHD0lV39oDYt2duVWE389m40qeGhl3S6Fn+VrrODvI0bW1B3q08UJEW090/0ezjagQb7Pj/yccx8FgMFhse8bsLyMjA2FhYfTcMxHqThzW8ufo6AiZjNao2xP0micO6s94OI7Da6+9JhTwHB0d8e6LUzBOsx1RgZXu/igMwTeBH2JLyyh4AmAYBoM6+jaw1eYLPffEIVV/tJAnEmdnZ1uHIFmMdffD8Uwcv16I2GGh6NmuBQAgq6gCW85mCeu4KxUIb+2Brq090S3QA90DPdHez83swcaNhRCC/Px8lJSUNOp+6tqvQqHA7du36RNLE6HuxGEtfzKZDCEhIXB0dGy0fVBMh17zxEH9GcfRo0eRnZ0t/P9/EQzect8JF285SrQEsfs5JETFwqFEhv2X8/Fk37Y2jFYa0HNPHFL0Rwt5IpDL5ejcubOtw5AkVe4IIbhXqsXV/DKk56uRkV+K7GINfp4ZLdxAnrhRiINpdzGwg49QyOsT5I1Xh3dAeGsPdAnwQNsWLkLnKdakqoDXsmVLuLi40EIDhWIBeJ5Hbm4u8vLy0K5dO/q7MpO1a9di7dq14DjuwSsbAb3miYP6M568vDxhfk5/R6waXflaRXwmi+k7NMhWEzjmr8Rbi5bSAp4R0HNPHFL1Rwt5ImBZFsnJyejZsycUCqryQai1BlzNL0XG3VKk56lx/kYecsuB4orazRzvqnXw93QCAEzu3Qb92/tgcLVmGO18XDBndJjVYq8LjuOEAp6Pj49V900IQUVFBS1YmgF1Jw5r+fPz80Nubi5YloWDA+1AwRxiY2MRGxsrvM8hFnrNEwf1ZzwBAQHC/IbzerzYxwn7XB/FB+mlKFbvBADo869hZGc/W4UoKei5Jw6p+pNOpHYIwzBo0aIFvVH8B4QQwcmdwgos3HUJV/NLkavS1rk+wwDBPq4Ia+WOMH93dPZ3h7vT36fmmK7+VonbVKrewXNxcbHJ/qXULtzeoO7EYQ1/Vc00OY6jhTw7gV7zxEH9GUl5AUJydkKhUIBlWej8IzCaexUgreA2oAKqCwdB9BVo06YNBg8ebOtoJQE998QhVX+0kCcCuVyODh062DoMm8HzlS9EVzWT/DXpDr5NvImx3fzx9tjKam1XpRwJGfeF7wR4OqFjq8qCXKdW7ghr5Y4OLd3g7Cjdm25b/OgZhoGTk5PV99sUoO7EYS1/UruYNgea+zVPLNTfg9GVq6BZEYEgpgwfPt4FK+5Hw6PvRACAoSgHBbtXgugrAACrV6+mD+yMhJ574pCqP1rIEwHLskhKSkJUVJSkqm/NQaPnkJ6vxuVcNdLyKqf0/FL8PLMfItt6AQBYnuBmQTmu5KmF7/m4KbHi8R4I8XNFp1bu8HSufCJf5a6LfxQUCppJmwohBOXl5XB1daU3wyZC3YmD+mu+NKdrXmNA/TXMuXPnMH36dDwRqMXLQ9sgq8/r8ChoBQCoSN2PmX19sao4C23atMHq1asxadIkG0csHei5Jw6p+pNOpHaITCZDYGBgk+vmu0LP4kquWhhI/FKOCjful4GvY0TF9Dy1UMgb0aUlgnyiEObvXmOdul6KbqrurAltwmY+1J04qL/mCc23xUH91Y0+5Td8/9ufeHXFZjw++Qm4Td2MISfvoFytgK+bI5Y91g2Key64f/8+/vzzTwwZMoTW4JkIPffEIVV/tJAnAplMhqCgIFuHYREIIVi06zLO3CrG1bul4Ooo0fm6OSK8tSfCAzzQJcAd4QEeCPF1FT4P8HRGgKdxXcw2JXe2gGEYKJXSGMT9119/xfbt2/Hbb7/ZNI7Ro0fj7bffxsiRIyXjzh6R0rlHsSw03xYH9fcPSu+i8Mf/g8/dYxhZzuDb//yEveq2+PJYLgAFRoW3wrJJ3eHrpgS6Bjxwc5T6oeeeOKTqT1pFUjuDZVkkJiaCZVlbh2IShWU6fH/0Jj75M11YxjAMzt8pRlqeGhxP0NJdiZFdWmHOqE7Y+O8+OP3uCJx5byT++39RmD+uMyZEBqJjK3co5OadQlJ1Zy8QQlBaWioMFGtLYmJioFQq4ebmJkxdu3YFUNkV/rvvvov333+/0eP46quv0KdPHyiVSkycOLHW5++99x7eeustu3InRai/5gvNt8VB/f0FIdCe3ICKld3gc/cYWMJA3WMGVqe74tztYrgpFfj0iQh8+2zvygIeqDuxUH/ikKo/WpMnAplMhtDQULuvvr2r1qJMxyLUzw0AUKZj8dHeNDjIGbw+siOcHCqbPbw8rCMIIYhs52V0jZy5SMWdPWNPtSnLly/H66+/Xmt5XFwcvL290b17d7O3nZCQgA8++AAJCQkNrte6dWssWLAABw8erDGIbhVDhgxBSUkJjh8/jqioKLPjodjXuUexHjTfFgf1B6AoE4X/eRY+qouADFC5hGCj/wKsuVJ5z9G/vQ9WPtEDbVrU7LWauhMH9ScOqfqTVrR2hr220SWE4EquGp8dyMD4NUcR/fEhrNyXIXzeztsFk3oGYs6oMBg4Xlg+tps/xnUPaPQCHmC/7qQCwzBwdHQ0quMLnU4HpVKJ5ORkYZlGo0G7du0eWHASy65duzB8+HDh/6VLl6J3797C/9u3b0dgYCBu3Lghel+TJk3CxIkT4evrW+fnDMNg+PDh2L17t9HuKLUx5dyjNC1ovi2OZu2PM6Bs/1LoVveGj+oi9EQO7ZD34Dn3LKIHxsDFUY4lE7rip+ejaxXwgGbuzgJQf+KQqj9pRWtnsCyL+Ph4u6m+vXa3FMv3pSPm0wSM/+Iovoi/jit5ajBMZe1dVfMqhmHw2ZRIvBQTCncn23SgYG/upAYhBGq12qgmc0qlEpGRkTh79qyw7NNPP0XPnj0RExNTY93Zs2fDy8ur3unYsWMmxZmSkoLOnTsL/7/xxhvIy8vD9u3bkZiYiNmzZ2Pv3r0IDQ01abvmEh4ejpSUFKPdUWpjyrlHaVrQfFsczdUfyT6HouURcDu5AkoZh/ue3XFm/J9wGv42IFdgQKgvjs8bjmn9g4Uhmf5Jc3VnKag/cUjVH22uKQKZTIZu3brZtGSv0hiwKyUHv5/LxoVslbBcqZBhaCc/jOnqj5gwP/i42VfzKntw1xiwLFtnU0FLQwiBv7/xg8RHR0fj3LlzmDlzJvLy8vDZZ5/h1KlTtdZbt24d1q1bZ7E4i4uL4eHhIfzv4uKCxYsX4+2330Z5eTm2bNmCyMhIi+3vQXh4eKC4uBjOzo1fW92Uof6aJ00137YWzc6fVoXibXPheXUrvBmgAk4oHvIhRie0BdlbjP0dK9DWu7LWroWrY4ObanbuLAz1Jw6p+qOFPBHIZDK0bNnSJvu+eb8Mm07cwu/nslGh5wAAChmDmLCWmBDZGsM7t4Sr0n4Pry3dNSbZ2dkICQmxyr4yMzMRHBxs1LrR0dH4/PPPAQALFizA1KlTERYW1ojRVdKiRQuo1eoay3r16oUbN25g/vz5GDp0aJ3fmz17Nn7++WcAlQVnrVYLLy8v4fM9e/Zg0KBBJsejVqvRokULOgSACBiGof6aKU0137YWzcmftlyNihXd4M2oAQZQB4+Dx+Qv4eTii67XToEQAlMaAzQnd40B9ScOqfqz31KABDAYDIiPj8fw4cOtetNTVK7HmNWJMHCVOWTHlm54KqodJkS2Fnqisnds5a6xadOmDTIzMxt9PzzPw93dHTzPG/VkKTo6GhcvXkRSUhJ27NiBjIyMOtebNWsWfvzxx3q38+eff2Lw4MFGxxkZGYn09L97cb1x4wYmTJiA2NhYbN68GQsXLqyzVqh6jaKxHa8Yw5UrVxAREQGVSgV3d3fJPZWzB3ieR2lpKfXXDGmq+ba1aC7+9u/fj5dffhkzO1Vg1oCWONn9QwwaMxlQKiAD8M3U3vB0dqi3aWZdNBd3jQX1Jw6p+qOFPBHI5XL07dvXKoNy3lNr0dLDCQDg7eqIMV39odFzmDEwBAM7+EiuEwRrurMmCoXC6No1MRBCwHGc0ce9Q4cOcHd3x5QpUzB//vx6OydZv3491q9fb7E4H3nkESxZsgQAcPfuXYwZMwaLFy/Gc889h7Nnz2LNmjWYP3++RfbFsqww8TwPrVYLmUwGR8e/mwEdPnwYmzZtgqurq+R+M/YCwzDUXzOlqebb1qJJ+9NXQL13IT7ZnoLlPx/GrFmzMOilOXj24C1cOKHFv5GBDx6tHFrnQU0z66JJu7MC1J84pOqPPoYVgUwmg7e3d6M+zdazPN7fcQkDl8fj5pRYo44AACAASURBVP0yYfmap3piw7/7YlBHX0nebFnDXVOGYRgoFAqTjn10dDQA4NVXX22ssGoxfvx4FBQUIDU1FWPHjsWMGTPw3HPPAajsaXP58uUoKiqyyL4++ugjODs7Y+nSpdi9ezecnZ0xevRo4fOjR4/Cw8MDQ4YMMdkd5W/MOfcoTQOab4ujqfrT6XQ4tXwCPC58h+l+qUg8fhytx8di6k/puJCvhaezA7oFeoraR1N1Zy2oP3FI1Z+0orUzDAYD9u7dC4PB0Gj7cJAzyC6ugIEjSMi4LyyXm9DMwR6xhrumDM/zKCkpAc/zD175r/Wzs7PxySefWHyMs4SEhDrHyAMqn359/PHHWLp0KZKTk/Hee+8Jn40YMQLFxcXw9vZucPsxMTFGNdX84IMP/nrP4++p+vc++ugjrFy50mR3lJpQf80Xmm+Lo8n543ns3bsX3bp1w4zvklHo0BracZ/h7cPl+O5oJngCPBLRGgfnDMXk3m1E7arJubMy1J84pOqPIc2sH2y1Wg1PT0+oVKoavf6ZAyFEeDfFkk+1i8v1cHKQw9mxslo4q6gCWcUVGBBadxM7KdJY7qyJVqtFZmYmQkJC4OTkZNV9E0KE9/GM8bdy5Urs2bMHR44csUJ09o2p7ig1sZa/+n5flszDmwuWctYU8m1b0mT8VRSheMd8pJ8+iEFf3cbs2bPx8lsL8EViNvZeygcABHo548OJXTG8cyuL7LLJuLMR1J84bO3P3DycvpMnAoZhLH6Tce52EV7+ORmDO/pixeQIAEBbbxehm+GmQmO4a04wDGNU2/CzZ89ixIgRCAsLw7Zt26wQmf1jrDtK3VB/zReab4tD8v44FhXH1oHEf4QWjA79WwBXDv6I4w798PiGFJTpWMhlDJ4fFILXRnaEi6PlbjEl787GUH/ikKo/2lxTBAaDATt37rRI9S0hBN8fvYkp35xCnkqLM7eKoaqQVrWwKVjSXXPE2CZzffr0gUqlQlJSEtq2bWul6Owb2txQHNRf84Xm2+KQrD9CwKXvQ9HHXeBy+H24MjqonNrg2pif8EZqGyzZcwVlOhaRbb2w++VBeGd8F4sW8AAJu7MTqD9xSNUfba4pAkIItFotnJycRFXfEkLw4Z40bDxe2fX+IxGtsWxSd7jZ8Th3YrGUO1ti6+aahBAwDCNZf7aCuhOHtfzR5pqWw5LNNaWeb9sSKfoj+ZdQ8PNL8FOnAgAq4AyH0YtwruUkPPX9WQCAp7MD5o3tjKf6tjVpWAST4pCgO3uC+hOHrf3R5po2QqEQp5DjCd7ZnorfzmYDABY81AXPDQppFj9Cse4oFAqFYl1ovi0OyfhT5aDg9znwvrMPfgxgIDIYej0Hl9ELAGcv9OUJItp6oYOfG94Z39kqY/RKxp2dQv2JQ4r+aHNNEbAsi7i4OLAsa9b39SyPV39Jxm9nsyFjgJWTe+D5we2bRQFPrLvmDiEEarUazawi3iJQd+Kg/povNN8WhyT8aUpQ8vsb0K/qBt+sfZAxgLrtCFx5/DBeLp6CCrkbgMoevre80A+rnoywSgFPEu7sGOpPHFL1R5trioAQApZlzRozihCCuVsvYPv5HDjIGXz5r54Y2y1AVDxSQow7e4E215Qm1J04aHNN6WHJ5ppSz7dtib37u3/nKly+HwRXmQ4AoPLqBs/Ja2AI6IXhqxKQVaTB6yM74vWRnawem727s3eoP3HY2p+5eTityROJuaX6bxNvYvv5HMhlDL59tk+zKuBVIbUnIhQKhdLcofm2OOzOHyFQqVRYuHAhQsJ7ISFLBpUyELrJP8H15USgTR84yGVY8FA4no5uh2n9g20Wqt25kxjUnzik6I8W8kTAsiwOHDhg8oE/lHYXn+xLBwAsfDgcwzq3bIzw7Bpz3VEqoU3mzIe6Ewf113yh+bY47MofIdCe2oDCJe0RExGMTZs24csvv8SoNZdweMw+xOx2xq9/9RUAAGO6+uPjx7rD29XRJuHalTsJQv2JQ6r+aHNNK5ORX4pJ646jXM/h6eh2WDqxG606lyi2bK5JoTR1aHNNy9EozjgWuHMCkDkAQf0ts02KVaioqMA333yDiItLMLwdj1Snfgh7YxdScsrwcVwaLmSrAAARbTyxI3YgvUehUGwM7V3TBhBCUFpaCnd3d6Mzwat3SyFjGPRr743Fj3ZttpmnOe4of0MIAc/zkMlk1J+JUHfioP6aLzXy7dNfAwcWAKHDgWf/sHVoksCm1z2Ohe78T9h05BYWffo1eJ7HqrkzoI8OhHunaXhly0UcuHIXAODqKMfsYR3sqqdves8gDupPHFL1Z/PmmmvXrkVwcDCcnJwQHR2NpKSketdNSEgQXvavPuXn51sx4r9hWRZHjx41qfr2kYjWODR3KL5+pjcc5DbXbzPMcUf5m6oMp5lVxFsE6k4c1F/zpUa+HTa+cmFmIlBRZNvAJIJNrnusDppj61H8USiUe18Fjq/Bm2++iczMTIyZ/TEWF4/GyK/O4MCVu5AxwDPR7ZDw1jDEDusAJwe59eJ8APSeQRzUnzik6s+mzTW3bNmCadOmYf369YiOjsbq1auxdetWZGRkoGXL2u+pJSQkYNiwYcjIyKhRXdmyZUvIZMYVmGhTH4qloM017Z+TJ09i2bJl2L17t1X3SwtA4qHNNS1Hozn7eiBw9xIwYR3Q8xnLbZciHl0Zyo+tB3v0c3iiDABQwbhAHjMP+uhYfHc0E98fvYkKPQcAGNG5JeaP64yOrdxtGTWFQqkDSfau+dlnn2HmzJmYMWMGwsPDsX79eri4uGDjxo0Nfq9ly5bw9/cXJmMLeJaG53kUFRWB5/kG1yOE4M2tF3A4/Z6VIrN/jHVHqZuq7nztvTDBcRz69OmDgoICJCcnY9y4cdBoNFbb5saNG/HNN98I3f5XNTU0GAzgeb7GcktOTRmpnHsUy1Mr3+7yaOXftF22C0pCWOW6V14I1Y55KF/aHq5HP4QnylAu84BhxIeQvXUV/2UexZAVh/HFoWuo0HOIbOuFLS/0w4Z/97XrAh69ZxAH9ScOqfqzWSFPr9fj3LlzGDly5N/ByGQYOXIkTp482eB3IyMjERAQgFGjRuH48eONHWq9cByHM2fOgOO4BtfbnZqH389lY9aP53C/VGel6OwbY91R6oYQgvLycru/0ZbL5Zg3bx7eeOMNvPnmm/jpp5/g7OxslW3qdDqUlJQgICCgxrKZM2ciNDQUHh4e6Ny58wMfKlFqIpVzj2J5auXb4X8V8m7EA1q17QKTCI163Su4joL/TINueUd4pqyHq0wHtYMf2HGr4PrudTgMfhX/OXMPS+PSUFxhQHs/V6x7phf+mD0A0e19LB+PhaH3DOKg/sQhVX8263iloKAAHMehVatWNZa3atUK6enpdX4nICAA69evR58+faDT6fD9998jJiYGp0+fRq9ever8jk6ng073d8FKra68EFUdqKq/crm8xjzLsmAYRpiXyWSQyWQ15hmGwahRoyCTyWAwGCCXy4X5qgETDQYDhof54fnBIfB2UcDXzVF4Eu7g4FBjnud5cBwnzPM8D4VCUe88x3EghAjzdaXD1DRVn28oTQpF5alTNThk1byxaZLL5RgxYoSk0wSgRs1N1V+GYRp9nmEYeHh4gGEY8DwvLKtrviq26vMymUyIva55S8bbr18/PPPMM4iPj4e3t/cD1y8uLsb48ePxT95//32MGzcODMMgOjpa2GaLFi2EjkCqp2PPnj0YN25cjWPDsiwCAgJw6NAhhIaG4tSpUxg/fjzatGmDUaNGNeoxs/fjZI/nXtX//8wjKLbBwcEBY8aM+XuBX2fAtxNQcBW4uh/o8YTtgpMAtfyJhRDwNxNxf/di+BWfgy8DQAaoXNvDY/wiuHR6CPcrWAQolACAZ/oFYU9qHp7tF4RJvQKhkFC/ABZ318yg/sQhVX/S+YUDCAsLw4svvojevXtjwIAB2LhxIwYMGIDPP/+83u8sW7YMnp6ewtS2bVsAwKVLlwAAaWlpSEtLAwCkpqbi2rVrAIDk5GRkZmYCAJKSkpCVlQUAOHHiBPLy8gAAR44cwfXr18HzPOLj41FSUgIAOHDgAEpLSwEAcXFxkBMW80Z3RKA6DSzLQqvVIi4uDgBQWlqKAwcOAABKSkoQHx8PoLIQnJiYCADIy8vDiRMnAABZWVlC5zSZmZlITk4GAFy7dg2pqami05SYmIiCggIAaDBNWq0WLMsiLi7OrDTl5ubiyJEj4Hle0mnieR7l5eUAAIPBgLKyyncf9Hq9sFyn06GiogJA5XtGVU0LtVottFotAECj0QjzFRUVwoOJ8vJy6PV6AEBZWRkMBoMQj06nEzrBqLrxVavVQnOCqrHMtFotnJ2dcf78eWGMM41Gg6CgICF9HMcJLliWFeaNSdPixYuFhyxarRa//vorAgMDcfnyZeTn52PatGlYsWIFNmzYUCNNW7duRc+ePeHl5YXIyEjEx8eDZVl4e3tj//79OHbsGE6dOoV9+/bh+PHjeOihh6BWq1FcXIzp06dj2bJl+OGHH4Q0lZSUoKKiQniQs23bNqHgVpUmV1dXvP/++8I7v7169cLgwYNx7Ngx6HQ6lJaWws/PDzKZDO7u7nBzc4NSqYSjoyPmzp1bI60VFRXYsmULAgMDcfHixXqPU9WL2g86TlXpqD5fdY5Vfzhl7nGyxbknNk1VsVTPI27dugWKbeB5Hvfu3fu7yRLDVGuyudN2gUmEWv5EUFpaiq+++grpX0xCq5JzkDGAqlV/YPoeeL55Hpe9hmHUmuN44b/nhIclbkoFdr08EE/2bSupAh5gWXfNEepPHJL1R2yETqcjcrmc/PHHHzWWT5s2jTz66KNGb+fNN98k/fr1q/dzrVZLVCqVMGVlZREApKioiBBCCMuyhGXZWvMGg6HGPMdxteY1Gg05ePAgMRgMRK/XC8v1ej3heZ7wPN/gPCGkxjzHcTXmDQZDg/Msy9aYrysdpqap+nxdaXpQ+oxNk06nE9xJNU0ajYZcvnyZVFRUCOtUba+x5zmOIyqVivA8TziOq7H8n/M8z5OoqCjyzTffCOsvWbKEPProo4KLquUvvfQS8fT0rHdKTEysFUtZWRkJCAgg27ZtIwkJCaRVq1YkOTmZaDQaMnbsWHL69GnC8zwZNmwYSU9PJzzPk3Xr1pGQkBBy5swZwrIs+frrr0nbtm2FeOpLU0VFBRk7diw5deoU4TiODBs2jKSlpZEdO3aQzp07kx9//FFw8+yzz9ZIX13uKioqSGBgINm6dauwzs6dO0l4eLiw/tSpU8n777/fYFqNPWYPOk7/nK9+bOqat9b5JubcMzdNFRUV5PLly0Sj0dTII4qKiggAolKpCMU4VCqVRZwZDAZy6NAh4VgQQgjJTSFkkQchH7YiRFcmMtKmTZ3+TKHgOin4ZTZ5+9VZxMPDg/j5+ZHf3n+ClP46k5B7GTVWLSzTkS7v/0kiF+8ntwqkf1xEu2vmUH/isLU/c/NwmxXyCCEkKiqKvPzyy8L/HMeRwMBAsmzZMqO3MXLkSPLYY48Zvb6lLnbGsDMlhzz1zUmSePVeo++LYn00Gg25cuUK0Wg0NZaX6wwmTwaWE75vYDlSrjMQjZ6td7um8sorr5AXX3yREEJIbm4u8fLyIunp6Wakum6+/fZbEhoaSvz9/UlCQkKD65aUlBB3d3dy9OhRYRnHcUShUJCcnByzY1i/fj15+OGHCSGEbNy4kezYsaPB9XmeJ8888wyJiYkRChmEELJkyRLyr3/9S/i/a9eu5Pfffxf+NyWtFPOp7/dlzTzcnti9ezfp1KkT6dChA/nuu+9M+m6jOuN5Qlb3qCzoXfrjwetTTEan05HftmwhN99sScgiD7J8cgfyww8/CL8NrYElP526Td74NbnG905cLyClWnpTT6FIHXPzcJsOhj5nzhxMnz4dffr0QVRUFFavXo3y8nLMmDEDAPDOO+8gJycH//3vfwEAq1evRkhICLp27QqtVovvv/8e8fHxQjM6a8PzPPLy8hAQEFCrh09CCDYcy8SFrBL0a++DwR39bBKjvdKQO6kTvnC/yd9Z+3QvPNSjsoOQ/ZfvIvbn84gO8caWF/sL6wxafhhF5ZXN5zKXjYfBYICDg4NRA3NGR0cLzZoXLFiAqVOnIiwszOQ466NXr164ceMG5s+fj6FDhza47uHDh1FWVoaHH364xnKFQgE3NzezY5g8eTLmzJmD4uJi7Nu3D5s3b65zPUII9Ho9XnvtNWRkZODgwYM1zsELFy6gb9++ACqbMqanpyMiIkL43JS0NkUIISadexTxsCyLOXPm4PDhw/Dw8ECvXr3w2GOPwcfHuh1m1JlvVzXZPPEFcHEr0HWiVWOSEiZd9wquozD+S3x+VoZvN/2EsrIyfDuzL1qEKPH2vxcCwYNQrmOx4Vgmvku8iXx1ZZPrp6LaISrEGwDQP9T+O1QxlqZ8z2ANqD9xSNWfTSOdMmUKPv30UyxcuBCRkZFISUnBvn37hM5Y8vLycOfOHWF9vV6PuXPnonv37hg6dCguXLiAgwcPYsSIETaJn+d53Lhxo842uufvFONCVgkcFTI806+dDaKzbxpyRzGO6h0KPYjo6GhcvHgRSUlJ2LFjBxYtWlTnerNmzYKbm1u909GjR2t958aNG5gwYQJiY2OxefPmBw6RUFhYiGHDhqGkpKTGpNFoRI3h5ePjg5iYGKxduxY+Pj5wdHSscz1CCGJjY5GUlIQDBw7A09OzxucXLlwQCnWpqalwdnZGaGioWWltqphy7lHEk5SUhK5duyIwMBDu7u4YP3681R9uchyHI0eO4PTp0zhy5EjNDnC6/9XhSvoeIHWrVeOSCg36q0KrgubY17j7cQTwVW/4XNkEh4zdWLx4MXJzczF1dQK8Zh9AkV8UPvvfVQz4JB4f7rmCfLUWrTyUWPhwOLoHetbebhOA3jOIg/oTh2T9NUKtol1jraY+s388R4Lm7SFvbU1p1P1QbIeUmmsSQoiPjw8JDg4mK1asMOv7dZGfn09CQ0PJ999/TwghJDo6+oHNrVNSUoi7uztJSEggPM8TjUZDEhMTSVZWluh4Nm/eTBwcHMiRI0fqXWf27NmkR48epKCgoNZnpaWlhGEYkpubSwghZNOmTaR3796EEPPSSjGfptRc88iRI+Thhx8mAQEBBECtd9EJIeSrr74iQUFBRKlUkqioKHL69Gnhs61bt5LY2Fjh/xUrVpCVK1cavX+xzrZt20batGlDAAhTmzZtyLZt2/5e6dCHlU02vxlKSLXmz5QH+DNoCXtpB8ldM4ro3veqdLjIg7ALPUnx2tGEZB4TtpN5v4ws+OMiCVsQR4Lm7SFB8/aQoSviyU+nbhOtgW0gAgqFImXMzcOlU+doh/A8j9u3b9cq2WcXV+DPS5U9O/7foBBbhGb31OeuKeDiqDB5qt7TmUIug4ujAk4O8nq3SwgRejg0lujoaADAq6++apF0qtVqjB07FjNmzMBzzz0HAFi6dCmWL1+OoqKier8XERGBNWvWYObMmXB3d0e7du2wbNkyODk5iY5pwoQJaN++PQYPHlzn57dv38a6deuQkZGBoKAgoYZy1qxZAICLFy/Cx8dHGFvP398fV69exRdffGFWWpsi5px7zZ3y8nJERERg7dq1dX6+ZcsWzJkzB4sWLcL58+cRERGBMWPG4N69e1aOtDbbt2/H5MmTkZ2dDYVCgZEjR0KhUCAnJweTJ0/G9u3bK1eMeQcYsRCYvgeQUHOmxqYuf06OCnRxzEPRpmdQ+kFryLdOQ0DRaTjKeKiUrcEOXwT5m+nwmr0fJGgAztwqwqzN5zBsVQI2n7oNrYFHt0APrH26Fw7NjcHT0e2gVMgfHIyEacr3DNaA+hOHVP3Z9J08qcPzPHJychAYGFijje5Pp++AJ8DADj7o7G9+87OmTH3uKMZjMBjqbZL4T3ieR3Z2Nj755BMolUqL7N/Dw0MY7qKKESNGoLi4+IHfnTFjhvDurSVxd3dHQkJCve+KBQUFCcNeuLq61lqvf//+uH//vvD/mDFjhK7+/1k4NjatTRFTzj0KMG7cOGHMxrr47LPPMHPmTOE3sX79euzduxcbN27E/Pnz0bp1a+Tk5Ajr5+TkICoqqtHj5jgOr732mlCgl8lkGDhwII4ePSqMUfr6669jwoQJkMvlwOC51b5sABgZIGvahY+G+Ke/3q3leD/iHsJ7OsPXpSrvYVEm84A84kk4R02Dp3+PyvccASTfKcbCnZdxMUclbHNYmB9mDmmP/u19mtU7sfSeQRzUnzik6k86kdohCoUCAwYMEAbOruJQ2l0AwFN96bt49VGfO4pxMAwDNzc3oy/yq1atgpeXF6ZMmdLIkdkef3//Bj831R2lJtSfZdHr9Th37hxGjhwpLJPJZBg5ciROnjwJAIiKisKlS5eQk5ODsrIy/Pnnnw0OzKvT6aBWq2tMAIT3wDiOq3OeZdka84mJicjOzoZSqYRcLoder8eSJUuE8ROVSiVycnJw9OhRGAwGoTBjMBhADn4A8p9HYCi8I4yTWDXWYvV5nudrzFeNK1nfPMdxNeZNTVPVk/j65g0GQ435Gmmqlg5j0nTq0B5oi3Lh4OAAAAjx4DDE7RZ8XRjcK+fxzXkWw/5TjjODfoDDQ8uBgAiw1WJ3dZThYo4KSoUMU/q0wZ+vDsQPM6IQFeT1wHQ0VppsdZwUCgWioqKEG+ymkCZrHieZTIaoqCgoFIomkyZrHicA6NevHxQKhc3SZA60kCcCjuNw/fr1GvLzVBpcvVsGGQMM7uhrw+jsm7rcUYyH/DXI+YOazJ09exaenp7YunUrfvzxRytFZ98Y645SN9SfZSkoKADHcUKHY1W0atUK+fn5ACofiq1atQrDhg1DZGQk5s6d22DPmsuWLYOnp6cwtW3bFgBw6dIlAEBaWhrS0tIAVHYudO3aNQBAcnIyMjMzAVR29lJVq7148WJER0dDLpdj1KhRwo32gAED0KZNG+Tm5uLAgQPCQPaHdv4CnNsE5vZxnN+7ASzLQqvVIi4uDkDlQN5VHceUlJQgPj5ecJGYmAigsuO1EydOAACysrKQlJQEAMjMzBRaEFy7dg2pqakmpSkrKwsAcOLECeTlVb5WkZiYiIKCAgBAfHw8SkpKAKBGmuLi4qDVasGyLOLi4hpM08WLF3FkwVD0Pz4NL/Z2EG4I07l2SHboi9E/afFsSjTyer2FhFscCgqLsevIGcT+dB4zNx4X0qQvyMKbA31x8p0ReCqUB6POt1mabH2cOI7DwYMHcffu3SaTJmsep5ycHMTHx4PjuCaTJmsepyNHjiA1NRUcx9kkTbdu3YJZmPQGXxPAki/tGwwGkpSUVGNwxC1Jd0jQvD1kwlfHGvgmpS53UqO+jiGsAc/zpKysTBg4mmI81J04rOWvKXW8Uh38o+OVnJwcAoCcOHGixnpvvfUWiYqKMmsfWq2WqFQqYcrKyiIASFFRESGEEJZlCcuyteYNBkON+fj4eAKAKJVKIpfLiaOjI5k3bx5RKpUEAGEYRuhEZOHCheTy5cuEEEL0ej3h718j/PEvK+f/GuRef/8mIaTyHNLr9YSQyjEyq89XXRPqm2dZtsZ8XeloKE1VY2LWN6/X62vMV53nNdJRNc+xRJ+dQsrjPyM5nw0jC19+lnTq1IkAIG8O8yVkkQfZNNFZ8OXs7EzmzZtHHB0diUKhEJbHx8eTi1lFJGjeHhL6zl5yT1VhuzRVOzb2dJwMBgM5deoU0el0TSZN1jxOOp2OnDp1qoZPqafJmsdJo9GQ06dPE4PBYJM0FRUVmXXdYwhpXo9j1Wo1PD09oVKpRHXXXh+xP5/H3tQ8vDqiI+aM6mTx7VPsB61Wi8zMTISEhFik0xAKhfI39f2+GjsPb2wYhsEff/yBiRMrx5PT6/VwcXHB77//LiwDgOnTp6OkpAQ7d+4UvU9znXEch+DgYOTk5NRZc8swDPz9/fHSSy/hl19+QVpaGjp16oSJEyfikUceQXR0tNBUESV3gC96AiFDgf6zgZAYQC6x5vr6CiDvAtRX/oeyK4fgoUqDm+zv4US+vBkMfcQ0jB49Gt06tAWvVSO4x8B/+GPgFBwBtx6jQQxauFz6A5mZmZDL5fg64QZiwvzQJUB65zWFQmk8zM3DJZbD2hccx+HatWvo2LEj5HI5OJ7g2LXKKuohtKlmg/zTHcU0yF9N5pycnOi7USZC3YmD+rMsjo6O6N27Nw4dOiQU8niex6FDh/Dyyy/bNDa5XI41a9Zg8uTJYBgGcrkckydPxu+//y40tf/qq68wadIkvP/++0hPT8fOnTvxxx9/YOXKlXBzc0NMTAxGjhyJR4PKEUQImBuHgBuHAGdvoMvDQJcJQLt+gNLNpmmthVYN3LsC7e2zKLmSANndVPhw9yBnCDwAeACADNDDAeXe3eHeYxxeiZ0A+IUJm5A7ewn+HFq0hlv3EfDt+xD0isq08gYdPpkxVLgGvhQTav10SgR6zyAO6k8cUvVHC3kiqT4Ycmp2CVQaA9ydFIhs62XDqKRBcx1I2lI0s0p4i0LdiYP6M42ysjJcv35d+D8zMxMpKSnw9vZGu3btMGfOHEyfPh19+vRBVFQUVq9ejfLy8kbpgdZUJk2ahN9//x2vvfYa7t27Bx8fH8hkMgQEBGD16tWYNGmSsG7nzp3RuXNnzJs3DwUFBTh8+DD+97//Yc2aNXjt5k2Et3bFR+P9Map1Kdw0RcD5/1ZOjBwIiACCBgABkUDLzoBPR8DBCi0kDFog6xT0RdlIc+iO9PR0pKWl4ZmKDejoooYTAKErJwYol7nD0Kon3LuOgjyoPxwDIuCoqLun2ZIKPbSBfTB0yU5kllW+x6gHwGvLwdw5gzcfG4Cnn3is8dPYRKD3DOKg/sQhRX+0uaYF2ZmSg3e2X8SQfXddPQAAIABJREFUjn5Y/2xvi26bYn/Q5poUSuPRlJprJiQkYNiwYbWWT58+HZs2bQJQWSO2cuVK5OfnIzIyEl988YUwtqVYLOGM4zgcPXoUeXl5CAgIwODBg016op2fn4+TJ0/ixIkTSDl/Dq4FyRjTVovxHR0Q5Fm7RphABk2XyXCYtK6yySfPA6e/rqwB7PY4UFWwKrkD6MoAwgMgAM8BrA4wVAAGDaBTgy29D01RLnQleWCLs3GLD8B+dQfcunULJdkZ+GPgZbA8gevHpXD1aIEuXbpg+cAKRLoVQu/dCW6h/eAY3A8I7AW4BwhDHNSFRs/hUPpd7ErJxeGMezBwfw0/wQBdfeTo5lKKYWG+GBEzRFI1AhQKxXaYm4fTQp4IOI5DWloaunTpImTWOpaDSmNAS3d6098QdbmTGrYs5NEmc+ZD3YnDWv6aUiHPVqxduxZr164Fx3G4evWqaGeWzLcJIcjOzsbFixeRn3EGsqzT8C6/htaKYrR308PbmcHaM3q8HKeFp6cngv29kPJU5biUY4/3hszBCQqFAm+FpGFwC9MGjf/zlgOWXu+M4OBghIQE43WnbYBHa5BH18KnXVjlec2xJr0zSAjB3N8uYN/lfFTo/+41ukuAByZGtsaEyED4uTlI/rpnK5rCPYMtof7EYWt/9J08O0GpkKOlO/0BUSgUCsW2xMbGIjY2VrhBsCcYhkHbtm0rh3cYP77GZ4TnUZJzFaMezkfifDkKCgpQdu82Mgp+B8Nq0DuqP/R6PTiOg0KZAzWvBsD8VcPGgJM5gJM5gSiUIA5uYFx9oHD3g9LLH84tQzCuZTjGBQ+stsePagf4gAJeuY5F8p0SDPrr/XuGYVBQrkeFnkNbb2c83KM1JkYGIszfXfgOHTKIQqFYE1qTZyEMHA8HOR12sDlBm2tSKI0HrcmzHNSZZSnVGtB36UFoDTxOvjMcAZ7OAIDkO8VgGAYRbTxpKwEKhWIxzM3DaalEBBzHITk5GRzHYeHOyxi+KgH7LuXZOixJUN0dxXQIIaioqKAdYJgBdScO6q/50tzybZ4nuJitwuqDV7Fgx0VhubuTA7q19kSQjwuyi//ujKFnuxaIbOtVbwGvufmzJNSdOKg/cUjVH22uKRJn58oneIlX7yOnRAOlA22qaSxV7ijmQZ8Umw91Jw7qr/nS1PPtgjIdjl8vwJGM+0i8dh8FZXoAgFzG4K3RneHpUjnu34Z/94WHk8Lk30JT99eYUHfioP7EIUV/tJAnArlcjs6dOwMAfnw+GoVlOnQLtK/3HuyV6u4opsMwjCQzHHuAuhMH9dd8aYr5drmOxZlbRTh+vQDHrhciLU9d43NXRzkGdvDFyC6toJD/XaDzdHYweV9N0Z+1oO7EQf2JQ6r+aCFPBCzLIjk5GT179kSIrytCfF1tHZJkqO5OoaCnoalUNZlzcXGhtSoNcPLkSSxbtgy7d++26n6bclNGeu41X5pKvl2uY/F1wg2cvFmIC1klYPmav9fwAA8M6eSHmDA/9GrXAo4Ky7zZ0lT82QLqThzUnzik6o++kycChmHQokULeqNjBtSdeKTQDTLHcejTpw8KCgqQnJyMcePGiR5Q1JRtbty4Ed988w0IIcLE8zw0Gg14nq+x3JLTr7/+iieffFJUOhsTsfGZeu6NHj0aBw8efOAyimVZu3YtwsPD0bdvX4tsT4r5dqnWgINX7mJv6t/vyysVMmw6cQvnbheD5QkCvZzxRO82WPNUJM4uGIm41wZj/rjO6Nfex2IFPECa/uwF6k4c1J84JOuPNDNUKhUBQFQqlcW2eSVXRT7dn052X8ix2DYp9o9GoyFXrlwhGo3G1qHYNb/99huZOnUqGT58OCksLLTaNrVaLZk8eXKtZc8//zwJDg4mbm5uJCwsjGzYsMEiMVXBcRwJCQkhqampwrIvv/yS9O7dmzg6OpIJEyZYdH/GbFur1RJPT09y//59k+OzhLOEhAQSGRn5wGXVqe/31Rh5eFOnuTjjeZ7cKSwnuSUVwrL4tLskaN4eMnRFfI11vzlynfyadJvcKSy3dpgUCoViEubm4bQmTwQsy+LEiRNIuVOEL+Ov4/dz2bYOSTJUuWNZ1tahSBJCCMrKyiTRLLBfv37YsmULlixZAm9v7weuX1RUhH79+tWa9u7da9I29+7di4ceeqjGMpZl4e/vj507d0KlUmHTpk2YO3cuDhw4IC6R1YiLi4O3tze6d+8uLGvdujUWLFiAmTNnGr2dhIQExMTEPHA9Y7Z9+PBhdO/eHb6+vibHx7IsAgICcPDgQajVavzwww+YO3cu9u/fb3RahgwZgpKSEhw/frzBZRT7xt7ybZbjkZpdgg3HMjH7p3OI/vgQBq84jP+evC2s0zu4BUL9XBEd4gMDxwvLXxgSiil926Gtt4v14rUzf1KCuhMH9ScOqfqjhTwRyGQyBAYGoqjCAADwdVPaOCLpUOVOJqOnoLk4OBj34r9Op4NSqURycrKwTKPRoF27dkhISBAdx9KlS9G7d2/h/+3btyMwMBA3btxASUkJpk2bhjVr1uCHH36o8b2tW7eiV69e8PT0RGRkJE6dOgUA8Pb2xqlTp2pNVQW2+rZZUlICrVZbI45JkybV2KerqyuWLFmCsLAwMAyDfv36YdiwYTh27BiAyqagfn5+YBgGbm5ucHNzg6OjIxwcHDB37twG01rFrl27MHz48Br7nTRpEiZOnAhfX1+zHDeEMdvevXs3Hn30UbPiq3IWGhoqOBs6dKjgDGj4HAAqm7oMHz4cu3btEtapaxnFvrF1vq01cDh1sxCrD17FM9+fQo/FB/DoV8fx4Z4riLuYj3ulOjjIGag1BuE7Hk4OODQ3Bssn97D5WLa29idlqDtxUH/ikKo/aUVrZ8hkMgQFBaGovPKC4uPmaOOIpEOVO6n9YOwFhmGgVCqNah+uVCoRGRmJs2fPCss+/fRT9OzZs1ZN0ezZs+Hl5VXvVP3Gvoo33ngDeXl52L59OxITEzF79mzs3bsXbdq0wb/+9S8sX74cL730Em7evImMjAwAwPr16zFv3jx89913KC4uxqxZs/Dkk08+sGZSp9PVuc3du3ejf//+2L59O4DKgUNlMlmdg4ZWd6fVapGUlIQePXoAqHzXbMOGDQgPD0dZWRnKysowZcoUvPvuu1i1alW9aQ0NDRW2n5KSYne9cFUv5ImNT6fT4ezZs4iIiBCWGeMlPDwcKSkpNbZV1zKK/WKLfPv6vVJ8FX8NT317Ej0WH8BT357C6oPXcPx6ISr0HDycFBgW5oe3xoRhywv9cPGDMVj6WPcHb9gG0Oue+VB34qD+xCFVf9LpIsYOqaq+va92AwD4utKaPGOpcjdgwABJ9VRkFPpy078jVwLyvzxwLMDpAEYGOFTrqr7adomDC8rKyuDm5mZUQS86Ohrnzp3DzJkzkZeXh88++0yoOavOunXrsG7dOpNCd3FxweLFi/H222+jvLwcW7ZsQWRkJADgzz//FNaLj48HAKhUKrz99tuIi4sTan9eeOEFvPLKK8jLy0Pr1q3r3ZdSqaxzm2FhYcjNzcUvv/yCp59+Gtu2bcPjjz9e5zaqmrq6urri+eefR8eOHWvU+F24cKFGASY5ORkTJ058YFqrKC4urrNwaStSUlLg5OSEsLAwAOLiI4Tg+eefR/v27fHYY48Jy43x4uHhgeLi4gcuo9gv1si3NXoOMhmgVFR27rP/8l18euCq8LmfuxL92vsgKsQbUcHe6NjSDTKZNDpDaNLXvUaGuhMH9ScOqfqTTqR2iEwmQ2hoKAqvZgGgNXmmUOVOak9FjOLj+gsp9fLEJqDrXzfN6buBrf8GggYBM/5+Dw2ruwMVhZXzi0qgVBr/UCE6Ohqff/45AGDBggWYOnWqcNNvCXr16oUbN25g/vz5GDp0aIPrHj58GGVlZXj44YdrLFcoFHBzczM7hsmTJ2POnDkoLi7Gvn37sHnz5nrXdXR0xOzZs5GRkYGDBw/WOA8vXLgg9Eao0WiQnp5eo9D3oLS2aNECarW61nJjmD17Nn7++WcAlRcVrVYLLy8v4fM9e/Zg0KBBJm2zei2emPgIIYKzuLi4Wr/dB3lRq9Vo0aLFA5dR7JfGzrcX7LiIbedysOrJCIzvHgAAiAnzw4WsEgzu5IcBoT5o7+sqvR7u/qJJX/caGepOHNSfOKTqT1rR2hlVbXQLy/QA6Dt5piDV9s32AsMwcHR0NPpmJzo6GhcvXkRSUhJ27NiBRYsW1bnerFmzhHfR6pqOHj1a6zs3btzAhAkTEBsbi82bNz9wiITCwkIMGzYMJSUlNSaNRiOqBszHxwcxMTFYu3YtfHx84OhY/0OXN954A0lJSThw4AA8PT1rfFa9Ji81NRXOzs5Cs0Nj0hoZGYn09HSz0rBu3TrBR1WBrrojUwt4QOU7eNULeebERwhBbGwsTp8+jQMHDgjvLVZhjJcrV67Uqt2raxnFfrF0vn2vVAuu2hh1ro4KaAwcTt4oFJZ1be2Jb6f1wbP9ghDqZ1zLBXuFXvfMh7oTB/UnDsn6s3Q3n/aOJbuSNhgM5NChQ6TPhwdI0Lw95FJOiQUibB5UuTMYDLYOxWzqHUJBV2b6xFbzwBoql+kr6t0uz/NEpVIRnueNjtfHx4cEBweTFStWiEh1TfLz80loaCj5/vvvCSGEREdHk2XLljX4nZSUFOLu7k4SEhIIz/NEo9GQxMREkpWVJTqezZs3EwcHB3LkyJF613nppZdIt27dyP3792t9VlpaShiGIbm5uYQQQjZt2kR69+5NCDE+rbt27SJ9+vSpscxgMBCNRkPee+898sgjjxCNRkN0Ol2DaTl8+DAZOnRog+s8aNu5ubnEx8eHsCwrKr7Zs2eTHj16kIKCglrnnrFeQkJCSGJi4gOXVUGHUBDPV199Rbp06UI6depkEWeWyreLynTk471XSNiCOJKQcU9YnleiIalZJSbla1KiKVz3bAV1Jw7qTxy29mfudY8W8kTAcRzJy88n7d/ZS4Lm7SH5KjpemrFwHEfu3r1LOI6zdShmY8tx8nieJ3q93qSbofHjx5Pg4GCi1WotEoNKpSKRkZHko48+EpYdPHiQeHl5PXA8vI0bN5KOHTsSV1dX4ufnR8aNG1dnoctU1Go1CQsLq9fLrVu3CACiVCqJq6urML344ouEEEJOnDhBfH19hfX37dtH3N3dyZo1a4xOK8uyJDg4mFy8eFFYtmjRIgKgxvSgApyxhbyGtv3tt9+SqVOnioqvPmcvvPCC0edAYmIiiYiIqBFHXcuqQwt5lsNSzsTm23qWI18cvEq6LtxHgubtIUHz9pCP466IiklKNIXrnq2g7sRB/YnD1v7MzcMZQiQw0JYFUavV8PT0hEqlskjnCEXlevT68H8AgGtLx9m8i2aK9dBqtcjMzERISAicnJxsHU6D8DyPnj174t1338WUKVNsHU6jkp+fD39/f5vG8Msvv2DHjh3YsmWLTeN45JFHMG3aNDzxxBM1lls7vjFjxuDNN9/EqFGjGlxWnfp+X5bOw5sD9uAsq6gCr/ySjJSsEgBAeIAH3hzTCcPCWkq6CSaFQqE0Nubm4bREIgKDwYCd+yt79/NycaAFPBMwGAzYv38/DAbDg1em1ILneahUKvA8/+CVAaxatQpeXl5NvoAH4IEFPFPdmcO//vUvmxfwAGDw4MEYO3ZsreVi4jPH3/79+2sV5upaRrFvzM23d1/Ixfg1R5GSVQIPJwVWT4nEnlcGYXjnVs2qgEeve+ZD3YmD+hOHVP3R3jVFIJfL0TokDEi6Ah9X2rOmKcjlcvTt2xdyudzWoUgShmHg6vrgXubOnj2LESNGICwsDNu2bbNSdPaNse6aAm+//bbFt9mc/FFqYk6+vfbwdazcXzk+Zu+gFljzVCTatHBprBDtGnrdMx/qThzUnzik6o8W8kQgk8mgl1X2qOlDe9Y0CZlMBm9vb1uHIVkYhjFqrJY+ffpApVJZISLpYKw7St1Qf80XU/Pt385kCQW8l2JCMXdUJyiacYsXet0zH+pOHNSfOKTqr/nmthbAYDDg8oVk9Gjjgc7+7rYOR1IYDAbs3btXclXf9gLP8ygpKWnUJodNFepOHNRf88WUfPtQ2l2888dFAMDsmFDMG9u5WRfwAHrdEwN1Jw7qTxxS9Ucfx4pAoVBg9sTBmOfuTpsumYhCocDgwYNpjYCZMAwDd3remQV1Jw7qr/libL597nYxYn8+D44nmNy7Dd4aE2alCO0bet0zH+pOHNSfOKTqT1rR2hkMw9De3cyEuhMHwzCSaxtuL1B34qD+mi/G5ttHrt6HgSMYFuaHZZO60wcCf0Gve+ZD3YmD+hOHVP0177YTIjEYDNi5c6fkqm/tAepOHLTJnPlQd+Kg/qTD2rVrER4ejr59+1pke8bm23NGdcLBOUOx9pletNfpatDrnvlQd+Kg/sQhVX90nDwREELw9HcnkV2sxfLJPTAg1NdCUTZ9CCHQarVwcnKS7FNeW46TRwgBIQQMw0jWn62g7sRhLX90nDzLYSlnTSHftiXUn/lQd+Kg/sRha390nDwbkVOiRVaxBo70aaXJSK1tM4VCoTR3Gsq3d13IRUZ+qRWjkR70umc+1J04qD9xSNEfLZmIgGVZ/DuoFL/NjELnAPpE2RRYlkVcXBxYlrV1KJKEEAK1Wo1mVhFvEag7cVB/zZeG8u2CMh3mb0vF2DWJSMkqsUF09g+97pkPdScO6k8cUvVHm2uKgBAClmWhUCho9beJNAV3tLmmNKHuxEGba0oPSzbXrC/fzlNp8NGeNGQXV2BH7ED626qDpnDdsxXUnTioP3HY2p+5ebj06h7tjKqDTjEd6o5CoVCkRX35doCnM9Y+0wtaA0dvIhuAXvfMh7oTB/UnDin6o801RZB5X41Xvz+IX5Nu2zoUycGyLA4cOCC5qm97gTaZMx/qThzUX/PFmHzbyYEOr1Ef9LpnPtSdOKg/cUjVH22uKYL/b+/ug6I67z2Af/eFBQmySH3DAAFfhok1AdHANU0iJrb8Yds4jjPO2BcnbZomxRupM0nJnaZJ584U24kvqUNip05jxt5WW66ae1M0EgXU+gKuENdGDZFVUUH0AvK6wJ7z3D/Irqzswu6ehcM5+/3M7Hg4noXf+XJ4nn32nPPskYu38eMPz+Kxh634339/KkwVklaoebmmVly9ehXp6eloa2tDQkKC2uWQhvByzfAZ68wqLrdgWlw0Hk2Kh8nIs3hEROHE2TVVcLerDwAwNc6iciXaw7MBgyRJQmVlJf7617+isrISkiQF9DwhBCRJivj8QsHslGF+kctXuy2EwBv/bce3t5/AmYb/U7G6iY/9XuiYnTLMTxmt5sdBngJ3OpwAgCmxUSpXoj0ulwvHjx/X3KnvcNq3bx/S0tKwbNkyrF27FsuWLUNaWhr27ds36nOFEOjs7Ayowenr60N0dDRqa2s963p7e5GamorKykoluwAAKC0txaJFi/DrX/8aqampsFqtKC4uVvx9x0ow2dFwzC9y+Wq3r7f2oLnDiSiTAQtTp6hY3cTHfi90zE4Z5qeMVvPjIE+B1p7BX/a0eF6qF6yoqCisWLECUVGROUDet28fVq9ejRs3bnitv3nzJlavXj3qQM9oNCIhIQFG4+h/wtHR0cjKysLZs2c969555x0sXLgQeXl5Xtv+7Gc/Q0JCgt/HiRMnhn3/2tpaXLp0CfPmzUNDQwP27duHN998E319faPWpoZgsqPhmF/k8tVun/7q7F1mcgImWXg/3kgivd9Tgtkpw/yU0Wp+7KUVuNs1eCbva7G8XDNYsiyjtbUVsiyrXcq4kyQJGzZs8HkmxL2usLBwxEs33dP5Bno2JTc3FzabDQDQ1NSELVu24He/+92w7d577z20t7f7fTz11PB7T2tra/HTn/4Ua9euhdlsxvz58z1T7E9EwWZH3pifdpSUlGD+/Pl44oknwvL9fLXbZxpaAQD/NvtrYfkZehbJ/Z5SzE4Z5qeMVvPjIE8B9z15ibHamlJ1IpAkCTU1NQHfg6Ynx48fH3YGbyghBBobG3H8+PERt+nu7g5qkOc+k/fLX/4S3//+95GRkRFc4X7U1dXhu9/9rudru92OefPmwWKZmG9+BJsdeWN+2lFQUIDPP/8cNTU1Yfl+vtrtM47BQV7u7MSw/Aw9i+R+TylmpwzzU0ar+XF0okBr9wAAYLo1VuVKtCcqKgr5+flql6GKpqYmxdsZjUZYrdaAf2Zubi7sdjuqq6tx4MABXL582ed2L7/8Mv785z/7/T4HDx7E008/7fm6paUFzc3NyM7O9qyz2WxYuHAhACAtLW3CDQaCzY68Mb/I9WC73djag5vtvTAbDVj0CO/HG00k93tKMTtlmJ8yWs2PZ/IUuH8mT1vX6E4EsiyjpaVFc6e+wyEpKUnxdkIIDAwMBDyAmjt3LiZPnow1a9agqKgIU6dO9bndjh070NXV5fcxdIAHDF6qOWfOHK8pfW02m9egb6IJNjvyxvwi14Pttvss3mPJVsRa+J7xaCK531OK2SnD/JTRan6qD/JKSkqQlpaGmJgY5Obmorq6esTtKysrkZ2djejoaMydOxe7du0an0IfIMsCrd39AIDEhzjIC5Ysy7hw4YLm/mDC4emnn0ZycrLfe9YMBgNSUlKGDage1NvbG9TPzc3NBQC8+uqrQT1vJLW1tcMGdEPP5F2/fh1xcXG4d+9e2H5mOASbHXljfpHpwXbb/ZEJvB8vMJHc7ynF7JRhfspoNT9VB3l79+7Fxo0b8dZbb+HcuXPIzMxEfn4+WlpafG7vcDiwYsUKLFu2DHV1dSgsLMSLL76ITz75ZJwrB9p7ByB/9Ub2tPhJ4/7ztc5sNuPZZ5+F2Rx57/6aTCa8++67ADBsoOf+etu2bTCZ/M9UZzAYEB8fH/DkJrIs48aNG9i0aROio6NDrHy4oqIi7N2712udw+HA8uXLAQCpqano6uqaUJf3BZsdeWN+kevBdvu0Y3CQl5vO+/ECEcn9nlLMThnmp4xW81N1kLdlyxb85Cc/wQsvvID58+djx44diI2NxZ/+9Cef2+/YsQPp6enYvHkzHn30Uaxfvx6rV6/G1q1bx7ly4P++ulQzPsYEE1/rBE2WZdy8eVNz74qEy6pVq1BaWoqHH37Ya31ycjJKS0uxatWqEZ8vhEB/f3/Al8xt3rwZCQkJWLNmTcg160Ww2ZE35he5hrbbt9p70djaC5PRgMVpHOQFItL7PSWYnTLMTxmt5qfaIK+/vx82m83zjj8weEP/8uXLcerUKZ/POXXqlNf2AJCfn+93+7F056tB3kMmoblf+kQgyzKuXLkS0dmtWrUKV69eRUVFBf7yl7+goqICDodj1AGeWyCfQ3f27FlYrVb8/e9/H3FClUgzUT/DTyuYX2Qa2m6f+eos3oJZ8YiL1ta722phvxc6ZqcM81NGq/mp1jLfvXsXkiRhxowZXutnzJiBS5cu+XxOc3Ozz+07OjrQ29uLSZOGXzbZ19fn9YKko6MDADzToLr/NZlMXssulwsGg8GzbDQaYTQaPctmoxGZyVakJsbCbDZjYGAAJpMJRqMRAwMDMJvNMBgMnmUAcLlcXstRUVGez5yKioqCLMuQJMmzLMsyzGaz32VJkiCE8Cz72o9g9unB5bHcJ6PRiCeffFLT+wQMntVwn9Fw/2swGAJeNhqNyMvLC/q5ABAXFweDwQBZlmEwGHwuL1q0CO3t7Z7PrXPXazQaR1wOdj/CvTzSPrn3f+hn8QWzT0Oz08s+jedyoMdeOPbJ/fWDbQSpw2w245lnngEAnL3aBgDI5f14ARuaHwWH2SnD/JTRan6qT7wy1oqLi2G1Wj2PlJQUAMCFCxcAABcvXsTFixcBAOfPn0d9fT2AwQklHA4HAKC6uhqNjY0AgJMnT6KpqQk56Yl49dE+vPTY4Iv+o0ePor29HQBw+PBhdHZ2AgDKysrgdDrhcrlQVlYGl8sFp9OJsrIyAEBnZycOHz4MAGhvb8fRo0cBDA6Cjx07BmBwKv2TJ08CABobGz2T0zgcDtTW1gIA6uvrcf78eUX7BADHjh3D3bt3AWBM9+nWrVuoqKiALMua3idZltHd3Q0AGBgYQFdXF4DBM9Xu9X19fejp6QEAOJ1Oz6QVTqcTTqcTwOBEFu7lnp4ezxsT3d3d6O8fnOCnq6sLAwMDnnp6e3shhEBnZ6fnhW9HR4fnnaaOjg7PC+UHl921D33Tw52Fy+XyLI/3PrlcLs/yWO5TZ2en57JDveyTHo89dy1D24irV6+C1CHLMq5duwZZljEzPga56YnISklQuyzNGJofBYfZKcP8lNFqfgah0o0V/f39iI2NRWlpKVauXOlZv27dOrS3t+Ojjz4a9pxnnnkG2dnZ2LZtm2fdBx98gMLCQr+z9/k6k5eSkoLW1lZMmTJF0Rkip9MJm82G3NxcCCF4Ji+Iferv70dNTQ1yc3NhNBo1uU+SJKGhoQHp6emYNGnSuJ8V6unpwUMPPeQ5U6L1M0TjddZraHZuWt8nPR57vb29cDgcmD17NiwWi6eNaGtrQ2JiIu7du+f10R3kX0dHB6xWq+LMXC4XqqurkZOTo7kJCCYC5hc6ZqcM81NG7fxCbcNVG+QBg1O65+TkYPv27QAGR8qpqalYv349ioqKhm3/i1/8AmVlZbDb7Z51a9euRWtrKw4dOhTQzwxXZ0fkdDrhcDiQnp6OmJgYtcsh0hV/f19sw4PHzIiItCvUNlzVyzU3btyIP/7xj/jwww9x8eJFvPLKK+ju7sYLL7wAAHjjjTfwwx/+0LP9yy+/jIaGBrz++uu4dOkS3nvvPfztb3/Dz3/+c1XqlyQJX375Je8RCQGzU0YIAafTCRXfo9EsZqcM84tcbLeVYX6hY3bKMD9ltJqfqoO8NWvW4J133sFYgFK6AAALpElEQVSvfvUrZGVloa6uDocOHfJMrtLU1ITr1697tk9PT8c//vEPlJeXIzMzE5s3b8bOnTuRn5+vSv1CCLS1tfHFTgj0lJ1a12hrrbGZSJidMuORnx7aBr0Z2m7/x347sv+zHP915praZWmGnvq98cbslGF+ymg1P1Uv11QDL1uhcJFlGfX19TCZTJg2bRosFovn3iMiCp0QAnfu3EFPTw/mzZsHk8nk+T+24YErKSlBSUkJJEnCF198EdbMNuypxUd1t/Dmt+fjx0+lh+V7EhHRcJq8J08N4XyBIEkS6uvrh70IodHpJbv+/n40NTV5ZjAcL+6JYNwTx1DgmJ0y45WfwWBAcnIy4uLivNZzkBe8cGU2tN1u6epHp9OFaXHRmPKQJYzV6pde+j01MDtlmJ8yaucXahvOKXYUck9JTsHTQ3YWiwWpqalwuVzjegmgJEm4fPky5syZwwY7SMxOmfHKLyoqir+fCcjdbidZJyHJqnIxGqSHfk8tzE4Z5qeMFvPjmTwiItIMtuHBY2ZERNqlydk1tU6SJFy4cIGTOISA2SnD/ELH7JRhfpFr6O/+oL0JW8u/wLnrbWqXpRn82wkds1OG+Smj1fx4uSYREREF5eCFZvzPZ7cQPykK2alT1C6HiIgewEGeAiaTCQsWLFC7DE1idsowv9AxO2WYX+Ti714Z5hc6ZqcM81NGq/lF3CDPfQtiR0eH4u/lPn27YMECThAQJGanDPMLHbNTRu383G13hN1Orki4+r2hv/v+ni7IfT3o7e4MS38aCdT+29EyZqcM81NG7fxC7fcibuKVGzduICUlRe0yiIhIgcbGRiQnJ6tdhiaw3yMi0r5g+72IG+TJsoxbt25h8uTJij/jqaOjAykpKWhsbOSMZUFidsowv9AxO2XUzk8Igc7OTsyaNQtGI+cOC0S4+j21f/dax/xCx+yUYX7KqJ1fqP1exF2uaTQaw/7ub3x8PP9oQsTslGF+oWN2yqiZn9XKD2gLRrj7Pf7tKMP8QsfslGF+ymit3+PboERERERERDrCQR4REREREZGOmN5+++231S5Cy0wmE/Ly8mA2R9yVr4oxO2WYX+iYnTLML3Lxd68M8wsds1OG+SmjxfwibuIVIiIiIiIiPePlmkRERERERDrCQR4REREREZGOcJBHRERERESkIxzkjaCkpARpaWmIiYlBbm4uqqurR9y+srIS2dnZiI6Oxty5c7Fr167xKXSCCia/yspKGAyGYY/m5uZxrHhiOHbsGL7zne9g1qxZMBgMOHDgwKjP4bF3X7D58di7r7i4GE888QQmT56M6dOnY+XKlbh8+fKoz+Pxp3/B9od0XyhtOg0KtU2iQe+//z4ef/xxz+e7LVmyBAcPHlS7LE3atGkTDAYDCgsL1S4lYBzk+bF3715s3LgRb731Fs6dO4fMzEzk5+ejpaXF5/YOhwMrVqzAsmXLUFdXh8LCQrz44ov45JNPxrnyiSHY/NwuX76MpqYmz2P69OnjVPHE0d3djczMTJSUlAS0PY89b8Hm58ZjD6iqqkJBQQFOnz6N8vJyDAwM4Fvf+ha6u7v9PofHn/6F2p7ToFDbJAqtTaL7kpOTsWnTJthsNpw9exbPPvssnn/+efzrX/9SuzRNqampwR/+8Ac8/vjjapcSHEE+5eTkiIKCAs/XkiSJWbNmieLiYp/bv/766+LrX/+617o1a9aI/Pz8Ma1zogo2v4qKCgFAtLW1jVeJmgBA7N+/f8RteOz5F0h+PPb8a2lpEQBEVVWV3214/OlfsO05+RdIm0T+BdIm0cimTJkidu7cqXYZmtHZ2SnmzZsnysvLxdKlS8WGDRvULilgPJPnQ39/P2w2G5YvX+5ZZzQasXz5cpw6dcrnc06dOuW1PQDk5+f73V7PQsnPLSsrC0lJSfjmN7+Jf/7zn2Ndqi7w2AsPHnvD3bt3DwCQmJjodxsef/qmpD0nCrdA2iTyTZIk7NmzB93d3ViyZIna5WhGQUEBVqxYMayf0wLtfKLfOLp79y4kScKMGTO81s+YMQOXLl3y+Zzm5maf23d0dKC3txeTJk0as3onmlDyS0pKwo4dO7B48WL09fVh586dyMvLw5kzZ5CdnT0eZWsWjz1leOz5JssyCgsL8Y1vfAMLFizwux2PP30LpT0nGguBtknkzW63Y8mSJXA6nYiLi8P+/fsxf/58tcvShD179uDcuXOoqalRu5SQcJBHE0JGRgYyMjI8Xz/55JO4cuUKtm7dit27d6tYGekdjz3fCgoKcOHCBZw4cULtUoiI2CaFKCMjA3V1dbh37x5KS0uxbt06VFVVcaA3isbGRmzYsAHl5eWIiYlRu5yQ8HJNH6ZOnQqTyYTbt297rb99+zZmzpzp8zkzZ870uX18fHzEvZMdSn6+5OTk4Msvvwx3ebrDYy/8Iv3YW79+PT7++GNUVFQgOTl5xG15/OlbuNpzIiWCaZPIm8Viwdy5c7Fo0SIUFxcjMzMT7777rtplTXg2mw0tLS3Izs6G2WyG2WxGVVUVfv/738NsNkOSJLVLHBUHeT5YLBYsWrQIR44c8ayTZRlHjhzxex3zkiVLvLYHgPLy8oi87jmU/Hypq6tDUlLSWJSoKzz2wi9Sjz0hBNavX4/9+/fj6NGjSE9PH/U5PP70LVztOVEoQmmTaGSyLKOvr0/tMia85557Dna7HXV1dZ7H4sWL8b3vfQ91dXUwmUxqlzg6tWd+maj27NkjoqOjxa5du8Tnn38uXnrpJZGQkCCam5uFEEIUFRWJH/zgB57tGxoaRGxsrHjttdfExYsXRUlJiTCZTOLQoUNq7YKqgs1v69at4sCBA6K+vl7Y7XaxYcMGYTQaxaeffqrWLqims7NT1NbWitraWgFAbNmyRdTW1opr164JIXjsjSbY/Hjs3ffKK68Iq9UqKisrRVNTk+fR09Pj2YbHX+QZrT2nkY3WJpF/gbRJ5F9RUZGoqqoSDodDnD9/XhQVFQmDwSAOHz6sdmmapLXZNTnIG8H27dtFamqqsFgsIicnR5w+fdrzf+vWrRNLly712r6iokJkZWUJi8UiZs+eLT744IPxLXiCCSa/3/72t2LOnDkiJiZGJCYmiry8PHH06FEVqlafe0r/Bx/r1q0TQvDYG02w+fHYu89XbgC8jicef5FppPacRjZam0T+BdImkX8/+tGPxCOPPCIsFouYNm2aeO655zjAU0BrgzyDEEKMxxlDIiIiIiIiGnu8J4+IiIiIiEhHOMgjIiIiIiLSEQ7yiIiIiIiIdISDPCIiIiIiIh3hII+IiIiIiEhHOMgjIiIiIiLSEQ7yiIiIiIiIdISDPCIiIiIiIh3hII+IiIiIiEhHOMgjIiIiIiLSEQ7yiIiIiIiIdISDPCIduHPnDmbOnInf/OY3nnUnT56ExWLBkSNHVKyMiIgo/NjvEY3MIIQQahdBRMqVlZVh5cqVOHnyJDIyMpCVlYXnn38eW7ZsUbs0IiKisGO/R+QfB3lEOlJQUIBPP/0Uixcvht1uR01NDaKjo9Uui4iIaEyw3yPyjYM8Ih3p7e3FggUL0NjYCJvNhscee0ztkoiIiMYM+z0i33hPHpGOXLlyBbdu3YIsy7h69ara5RAREY0p9ntEvvFMHpFO9Pf3IycnB1lZWcjIyMC2bdtgt9sxffp0tUsjIiIKO/Z7RP5xkEekE6+99hpKS0vx2WefIS4uDkuXLoXVasXHH3+sdmlERERhx36PyD9erkmkA5WVldi2bRt2796N+Ph4GI1G7N69G8ePH8f777+vdnlERERhxX6PaGQ8k0dERERERKQjPJNHRERERESkIxzkERERERER6QgHeURERERERDrCQR4REREREZGOcJBHRERERESkIxzkERERERER6QgHeURERERERDrCQR4REREREZGOcJBHRERERESkIxzkERERERER6QgHeURERERERDrCQR4REREREZGO/D9tPidM5S+UtAAAAABJRU5ErkJggg=="
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using PyPlot\n\nf(x) = gamma(x+1)\nf0(x) = x^x\nf1(x) = x^x*exp(-x)\nf2(x) = x^x*exp(-x)*sqrt(2*π*x)\nf3(x) = x^x*exp(-x)*sqrt(2*π*x)*(1+1/(12x))\n\nfigure(figsize=(9,3.8))\n\nsubplot(121)\nxmax = 10.5\nx = linspace(0,xmax,100)\nscatter(0:xmax, factorial.(0:xmax), color=\"k\", label=\"\\$y=n!\\$\")\nplot(x, gamma.(x+1), label=\"\\$y=\\\\Gamma(x+1)\\$\", color=\"k\", lw=\"0.9\")\nplot(x, f0.(x), label=\"\\$y=x^x\\$\", ls=\"--\")\nplot(x, f1.(x), label=\"\\$y=x^x e^{-x}\\$\", ls=\"-.\")\n#plot(x, f2.(x), label=\"\\$y=x^x e^{-x}\\\\sqrt{2\\\\pi x}\\$\", ls=\"-.\")\n#plot(x, f3.(x), label=\"\\$y=x^x e^{-x}\\\\sqrt{2\\\\pi x}(1+1/(12x))\\$\", ls=\"-.\")\nxlabel(\"x\")\nylabel(\"\\$\\\\log_{10}\\\\;y\\$\")\nyscale(\"log\")\ngrid(ls=\":\")\nlegend(fontsize=9)\ntitle(\"Stirling's approximation of factorials\")\n\nsubplot(122)\nxmin = 0\nxmax = 100\nx = linspace(xmin,xmax,100)\n#scatter(xmin:xmax, f.(xmin:xmax), color=\"k\", label=\"\\$y=n!\\$\")\nplot(x, gamma.(x+1), label=\"\\$y=\\\\Gamma(x+1)\\$\", color=\"k\", lw=\"0.9\")\nplot(x, f0.(x), label=\"\\$y=x^x\\$\", ls=\"--\")\nplot(x, f1.(x), label=\"\\$y=x^x e^{-x}\\$\", ls=\"-.\")\n#plot(x, f2.(x), label=\"\\$y=x^x e^{-x}\\\\sqrt{2\\\\pi x}\\$\", ls=\"-.\")\n#plot(x, f3.(x), label=\"\\$y=x^x e^{-x}\\\\sqrt{2\\\\pi x}(1+1/(12x))\\$\", ls=\"-.\")\nxlabel(\"x\")\nylabel(\"\\$\\\\log_{10}\\\\;y\\$\")\nyscale(\"log\")\ngrid(ls=\":\")\nlegend(fontsize=9)\ntitle(\"Stirling's approximation of factorials\")\n\ntight_layout()",
"execution_count": 5,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002D851898>)",
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
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